[0.13475904,0.13808201,0.14412566,0.14940548,0.15213805,0.15283148,0.15278898,0.1527579,0.15274875,0.15244764,0.15164568,0.15022705,0.14850785,0.14669415,0.14516348,0.14378722,0.14267527,0.14161472,0.14076525,0.13995408,0.13923402,0.13848479,0.13792369,0.13781936,0.13844122,0.13972652,0.14117898,0.14197488,0.14130086,0.13885969,0.13535671,0.13204755,0.13018887,0.1298833,0.13078438,0.13219099,0.13442992,0.13750839,0.1413101,0.14428233,0.14556648,0.1448995,0.14370568,0.14266197,0.14187701,0.14020632,0.13739611,0.13373275,0.13038553,0.12805866,0.12740566,0.12890029,0.13309945,0.13976659,0.14759172,0.15446554,0.15884095,0.160227,0.15923381,0.1566994,0.15385261,0.15181905,0.15143897,0.15218575,0.15283571,0.15212303,0.1499527,0.14687885,0.1438077,0.14134239,0.13977127,0.13876712,0.13757585,0.1355234,0.13274433,0.13007669,0.12866102,0.1289052,0.13062696,0.13275205,0.13441269,0.13479145,0.13411148,0.13278396,0.13151366,0.13022475,0.12868614,0.12666996,0.12454561,0.12287801,0.12195557,0.12185779,0.12234575,0.12333504,0.12427631,0.12486752,0.12479333,0.12455817,0.12457237,0.12533635,0.12667656,0.12819673,0.12898375,0.12836997,0.12617338,0.123045556,0.11962398,0.11628393,0.11304611,0.11042941,0.1092017,0.11017182,0.11336577,0.11815631,0.12316698,0.12679982,0.12764828,0.12535082,0.120719224,0.11555635,0.111682795,0.11069638,0.11323992,0.11900104,0.1260438,0.1320598,0.13544476,0.13669692,0.13727735,0.13836198,0.13978368,0.14088798,0.14118165,0.1407603,0.13975875,0.13859332,0.1377808,0.13824171,0.14020173,0.14315546,0.14552893,0.14602281,0.1440826,0.14048366,0.13670312,0.13408244,0.13319808,0.13348056,0.13414587,0.13450508,0.13474584,0.13516031,0.13617118,0.13776267,0.13985811,0.14216484,0.14429162,0.14582796,0.14643025,0.14620836,0.1454478,0.14475894,0.14442927,0.14460747,0.14498489,0.14531536,0.14530368,0.14493619,0.14427407,0.14370394,0.14360784,0.1442554,0.14538316,0.14643049,0.14684238,0.14649592,0.14573276,0.14501522,0.14459808,0.14426139,0.14360349,0.14234065,0.14059077,0.1388086,0.13730621,0.13619585,0.13511853,0.1340353,0.13291985,0.13207878,0.13123022,0.1301299,0.1285616,0.12708431,0.12626125,0.12629765,0.1265711,0.1263296,0.12534472,0.124183215,0.12369451,0.12422341,0.12541342,0.12649803,0.12688129,0.12631765,0.12503077,0.12369556,0.12344242,0.12538482,0.13028555,0.1387388,0.15188105,0.17107351,0.1953456,0.21917428,0.23460452,0.23766015,0.23278679,0.22885154,0.23350672,0.24966633,0.27792862,0.31248447,0.3401358,0.34373307,0.31721652,0.2712632,0.22738327,0.20266823,0.1993935,0.20644295,0.20786197,0.19864364,0.18628971,0.18364607,0.19280303,0.20677184,0.21838902,0.22782314,0.23666817,0.2420739,0.24126305,0.23957235,0.2531464,0.29428378,0.3605559,0.427421,0.46815622,0.4671084,0.4345523,0.3903595,0.35457945,0.33333138,0.3260024,0.32658103,0.33027902,0.33253434,0.33316398,0.33501926,0.34290406,0.3560274,0.3667953,0.36325812,0.340016,0.30222657,0.26275647,0.2321539,0.2135712,0.2029864,0.1938414,0.181051,0.1650371,0.15016238,0.14205338,0.14228141,0.1503101,0.16322154,0.17774029,0.18867727,0.19291253,0.19347586,0.20273225,0.23982127,0.315925,0.4209102,0.5168856,0.5643576,0.54717803,0.48797035,0.4226842,0.3770016,0.35009786,0.32734653,0.29342198,0.24500774,0.19004959,0.14173836,0.109746,0.09671912,0.10118061,0.118482746,0.14128831,0.15880394,0.16673374,0.17338504,0.20060284,0.2634093,0.35529074,0.44268465,0.490593,0.48472258,0.44263646,0.3935533,0.35862568,0.34074762,0.3335416,0.33059666,0.32913435,0.3284409,0.32844603,0.330353,0.33469307,0.33849445,0.3342956,0.31515482,0.28144595,0.24121763,0.20420776,0.17490892,0.1528879,0.13646103,0.12709065,0.13082752,0.16005673,0.22715652,0.33539832,0.46675822,0.5872957,0.6596071,0.66162556,0.59430313,0.48229113,0.36760446,0.2942339,0.2909015,0.35160354,0.4360539,0.48813698,0.47301796,0.39916375,0.31115726,0.25533992,0.25045487,0.28267685,0.32240304,0.34543386,0.34421846,0.32637691,0.3047787,0.28811803,0.27853167,0.27371785,0.27087224,0.26763025,0.2641184,0.26387796,0.27438772,0.30508664,0.35852847,0.42497638,0.47924003,0.49890876,0.47686708,0.43055883,0.38384768,0.35387108,0.34108523,0.33817065,0.3368685,0.3339211,0.3297181,0.32723698,0.32939172,0.33652878,0.3435059,0.34072343,0.31983796,0.28040472,0.23101966,0.18404497,0.14905165,0.12974156,0.123717435,0.1249102,0.1268328,0.12733667,0.12868564,0.13481523,0.14734192,0.1653431,0.18624477,0.20531344,0.21619172,0.214877,0.20687272,0.20984982,0.2438939,0.31517947,0.40239725,0.4691751,0.48747334,0.46193495,0.41951224,0.3892512,0.37846926,0.37815967,0.3728774,0.35645476,0.33182684,0.30843166,0.29323173,0.28809485,0.29007304,0.29538992,0.3010886,0.30501845,0.30619967,0.30688998,0.31496954,0.34123814,0.3905356,0.45192596,0.50032496,0.5125682,0.48514855,0.4361947,0.38987005,0.3599172,0.34585097,0.34085026,0.33942866,0.3393505,0.34027132,0.34241453,0.34732962,0.35495818,0.36142012,0.35670033,0.33222243,0.28803906,0.23679411,0.1945545,0.17065729,0.16219918,0.16022258,0.16034621,0.16998361,0.20677358,0.2799147,0.3763331,0.45455217,0.4763619,0.4295611,0.34349787,0.25764292,0.1995691,0.1677431,0.1491412,0.13109033,0.11195531,0.09644344,0.09241503,0.10581774,0.1361779,0.17513876,0.20785199,0.22225742,0.21293867,0.18404035,0.14370969,0.10230816,0.06864723,0.050467327,0.05182765,0.07275864,0.10660406,0.1426451,0.16959576,0.18368435,0.19282395,0.21613555,0.27205476,0.36123362,0.45631683,0.5152248,0.51002187,0.44889092,0.3668897,0.29964852,0.26106104,0.2453445,0.23960818,0.23597406,0.23277302,0.23253173,0.23887372,0.2560452,0.28345743,0.3139855,0.3331225,0.3315766,0.30970106,0.2795565,0.25217977,0.2331928,0.2206515,0.21156889,0.20417346,0.19916846,0.19784427,0.2013951,0.20917197,0.2185478,0.22595088,0.23029138,0.23422796,0.24058945,0.2500849,0.2634926,0.2894096,0.33797595,0.40618023,0.4659495,0.48255274,0.44368526,0.37395158,0.31391,0.2898953,0.29834047,0.31681922,0.32215473,0.3062877,0.2757177,0.24414827,0.21984704,0.20256375,0.18728699,0.17072149,0.15383357,0.13954107,0.13228759,0.13979875,0.17449073,0.24560301,0.34528008,0.44156647,0.49473128,0.4843321,0.426435,0.35833636,0.31213447,0.29593062,0.29905263,0.3058633,0.30558157,0.29597905,0.28159985,0.2729553,0.2800312,0.3049575,0.33715257,0.35816178,0.35527027,0.32995984,0.29560664,0.26528445,0.24385183,0.22936171,0.21954203,0.21804142,0.23513393,0.28290585,0.3656801,0.47098246,0.5717828,0.6357594,0.6417849,0.5870386,0.49094024,0.38673458,0.3119186,0.2945058,0.3391408,0.4205511,0.48922613,0.5027899,0.4522604,0.36979032,0.29991838,0.27066755,0.2793233,0.30393562,0.32021365,0.31656393,0.29641983,0.27253452,0.25544888,0.24789257,0.24572925,0.24313867,0.23695333,0.2274308,0.22025223,0.22589773,0.259465,0.3277209,0.41847047,0.49504647,0.52057564,0.48221937,0.40427145,0.32502618,0.27200374,0.24823451,0.24250148,0.24250299,0.24191129,0.24048872,0.24065387,0.24681187,0.26197842,0.28492975,0.30748597,0.31789064,0.30964243,0.28586575,0.2576941,0.23442964,0.21934028,0.20957638,0.20174263,0.19473928,0.19032218,0.19094282,0.19759788,0.20814376,0.21813095,0.22276746,0.22042209,0.21339685,0.2072985,0.20954621,0.22971113,0.27733576,0.35208252,0.4335401,0.48528686,0.47947288,0.41995597,0.34138617,0.28357282,0.2661252,0.2811469,0.30476603,0.31409594,0.30079433,0.27187112,0.24209702,0.2221672,0.21489781,0.21580923,0.21857588,0.21825899,0.2142555,0.21247329,0.22502352,0.26902258,0.3503758,0.4524404,0.53152364,0.54869574,0.49642763,0.40776852,0.3259412,0.27616325,0.25716442,0.25387284,0.2535136,0.25030723,0.24717183,0.24960081,0.26315284,0.28644407,0.31222054,0.3289729,0.32981163,0.31559953,0.29456213,0.27450576,0.2585357,0.24503791,0.23274231,0.22553255,0.23417783,0.27242914,0.34665382,0.44679353,0.547429,0.6195399,0.6434839,0.6133874,0.5376141,0.43750274,0.3451365,0.294165,0.30437708,0.3682845,0.44846806,0.4973673,0.48625553,0.42490217,0.347978,0.28741676,0.25134525,0.23038448,0.21118337,0.18714298,0.15738538,0.12558235,0.09836304,0.082996555,0.08192245,0.08979974,0.09732881,0.099809796,0.10164186,0.11466911,0.15179805,0.22179759,0.31983653,0.4221358,0.491214,0.4999998,0.4516945,0.37753415,0.31194714,0.27194467,0.25517246,0.2518228,0.25298128,0.25399515,0.25376177,0.2559342,0.26701343,0.2891225,0.3153939,0.32948437,0.3208839,0.2923142,0.26174802,0.24512057,0.24757576,0.2604301,0.27231267,0.27510908,0.268456,0.2556742,0.24234362,0.23204444,0.22786267,0.23167807,0.24532051,0.26697466,0.2905253,0.3082538,0.31904247,0.3338304,0.36708355,0.421809,0.47563323,0.49737778,0.4689527,0.4070612,0.34480417,0.31071952,0.3056014,0.31303787,0.31103742,0.2920364,0.2609544,0.2313239,0.21105449,0.20186932,0.20104922,0.20706873,0.21803004,0.22915025,0.23470251,0.23488533,0.24272764,0.2772968,0.3466896,0.4306451,0.49038967,0.4948832,0.44799376,0.3796253,0.3225751,0.2882465,0.27160993,0.26227972,0.25629172,0.25341395,0.25547126,0.26363277,0.28075746,0.30554256,0.33160773,0.34522912,0.33873594,0.31378108,0.28423423,0.26192167,0.25271928,0.2521834,0.25445068,0.2571131,0.26833156,0.30202982,0.3679727,0.4593095,0.55282444,0.61862373,0.6349868,0.5958649,0.51503193,0.42047834,0.34684527,0.32148042,0.35303092,0.42357397,0.49253392,0.5192972,0.487932,0.41928777,0.3508453,0.31161076,0.30312693,0.30859277,0.30606842,0.28708544,0.2561426,0.22670443,0.20792347,0.2026717,0.20862217,0.22116034,0.235023,0.2432846,0.2451332,0.2468598,0.2653575,0.3121322,0.38345727,0.45060214,0.4805207,0.4562881,0.3934838,0.32319131,0.272553,0.24850337,0.2443391,0.24732172,0.24917881,0.24792801,0.25012752,0.26345387,0.2907597,0.32170138,0.3404185,0.33325973,0.3025982,0.2613857,0.22688936,0.20731394,0.20316683,0.20918858,0.22001363,0.23016207,0.23597337,0.23671235,0.23551005,0.23626034,0.24140985,0.24982297,0.25908038,0.266192,0.27063176,0.27520895,0.28861973,0.32356012,0.38551888,0.46093082,0.5155494,0.51951414,0.47056422,0.399017,0.34130752,0.3153461,0.31251773,0.31144726,0.29485443,0.26087493,0.22075541,0.18952143,0.17501968,0.17563051,0.18392633,0.19263236,0.1987255,0.2037874,0.2114773,0.22326213,0.23710619,0.25007525,0.2600955,0.2666749,0.2680237,0.26352823,0.25355083,0.24249263,0.23416157,0.23132293,0.23236044,0.23394448,0.23314933,0.22902828,0.22348303,0.21757205,0.2135889,0.21261616,0.2171371,0.2263987,0.23762774,0.24549691,0.24620695,0.2378453,0.22151546,0.20065148,0.18180257,0.17180328,0.1749692,0.18962009,0.21044745,0.23137712,0.24806261,0.2561142,0.2513251,0.23267573,0.20562671,0.18048716,0.16658114,0.16859023,0.18434538,0.20621467,0.22273342,0.22675197,0.22088474,0.21671844,0.22460176,0.24340849,0.26016343,0.25851154,0.23217958,0.1903166,0.15046145,0.12622792,0.1198613,0.12889375,0.15154247,0.18742442,0.23081167,0.27114806,0.30133775,0.32622495,0.36060676,0.41320708,0.47368595,0.5144394,0.5134423,0.4713855,0.41133213,0.3590168,0.32879543,0.32178274,0.33118832,0.34688938,0.35787,0.35884535,0.3529617,0.3503312,0.35762724,0.37260342,0.38417482,0.38203898,0.3632544,0.33399883,0.30431613,0.282871,0.27377355,0.27588406,0.28391108,0.290933,0.29244673,0.28892446,0.28550512,0.287631,0.2978358,0.31408653,0.33277503,0.349872,0.3640962,0.37775218,0.3988981,0.43477443,0.48235342,0.5212186,0.5254641,0.48329446,0.41140315,0.3424858,0.30516532,0.30371892,0.32369423,0.34166852,0.3461056,0.3378379,0.32798323,0.32145533,0.31671992,0.3079808,0.29510614,0.28186747,0.27298,0.27045015,0.27693713,0.29842874,0.34212664,0.405553,0.4691423,0.50235623,0.48599675,0.42804658,0.3587666,0.30804893,0.28812376,0.29369947,0.31181657,0.3315339,0.34607637,0.3542846,0.35836327,0.36274984,0.36825493,0.3718097,0.36729977,0.35381755,0.33552554,0.3195318,0.30797514,0.30026266,0.2957697,0.29715815,0.30770493,0.3308662,0.37158012,0.43254957,0.50886995,0.5836522,0.6366043,0.65143657,0.6220639,0.55274,0.46149096,0.37855956,0.33645812,0.34979925,0.4034405,0.45626712,0.469286,0.4295684,0.36014605,0.29720977,0.26728404,0.26968774,0.2869203,0.29631758,0.28841388,0.26634735,0.24316846,0.22810948,0.22418196,0.22745518,0.23257323,0.23461103,0.2312435,0.22517538,0.22545719,0.24677998,0.29940346,0.37877098,0.4583889,0.5051927,0.4994441,0.4508381,0.3863215,0.33277372,0.3013029,0.29079846,0.2926812,0.29860723,0.3020853,0.30361018,0.30824295,0.32331812,0.34787783,0.37352908,0.38541445,0.37594447,0.3459467,0.30700764,0.27111408,0.24846156,0.24181558,0.2487076,0.26177523,0.27425113,0.2810468,0.2805829,0.27293208,0.2627399,0.25705442,0.26266584,0.2778187,0.2928914,0.29800788,0.29603115,0.30611944,0.34758782,0.41925701,0.48877677,0.5170576,0.48613426,0.4163343,0.34561524,0.3053939,0.30124763,0.31948838,0.33805266,0.34283146,0.330693,0.30907786,0.28640902,0.26798835,0.25343564,0.23994304,0.22533636,0.21027933,0.19956838,0.20215623,0.23110032,0.29400542,0.38259113,0.4657948,0.50865036,0.49440464,0.43966722,0.3767651,0.3319751,0.31021333,0.30271348,0.29889688,0.29425472,0.289551,0.2871437,0.28969073,0.29860047,0.311674,0.3222204,0.32345328,0.31591532,0.3068106,0.30237278,0.30060497,0.29500893,0.28300884,0.27034178,0.26816717,0.2886032,0.33966318,0.42070284,0.5173152,0.6048166,0.6560838,0.65369326,0.59616613,0.5005681,0.3982698,0.32466307,0.30675986,0.34725952,0.420246,0.47835532,0.48361388,0.43113923,0.35286364,0.28995284,0.2655125,0.27438593,0.29519454,0.3075448,0.30538416,0.2960495,0.29100594,0.29231933,0.29197145,0.28001958,0.25488552,0.22399962,0.19665633,0.18129633,0.185511,0.22081393,0.29078984,0.3829485,0.46130016,0.49154028,0.46101484,0.39287773,0.32369044,0.2812128,0.2688487,0.27340114,0.27865207,0.2755873,0.26510075,0.2551112,0.25566104,0.2722527,0.2998222,0.32423958,0.33035612,0.31319425,0.27999762,0.24504398,0.22032942,0.21123224,0.21639518,0.23048444,0.24709864,0.26070216,0.26820722,0.26897267,0.26440403,0.25636497,0.24648003,0.23581356,0.2255972,0.2176617,0.21705848,0.23312072,0.27694252,0.3476285,0.4235902,0.46780273,0.45588052,0.39571905,0.32373595,0.27669215,0.2682525,0.28653133,0.3079667,0.31523082,0.30505064,0.2858546,0.2678986,0.25577438,0.24814057,0.2418045,0.23528717,0.22904271,0.22475058,0.22695565,0.24375343,0.28494632,0.3504735,0.42406094,0.47573805,0.4841889,0.45136198,0.40200296,0.36146268,0.3393321,0.32900462,0.32020032,0.30939427,0.2988845,0.29298803,0.2943779,0.30532947,0.32481575,0.3471773,0.3622012,0.36426482,0.35676005,0.350206,0.35068092,0.35533068,0.35567728,0.34742644,0.33555517,0.33303547,0.35448647,0.4059908,0.47990668,0.5563314,0.6139918,0.63743,0.61871547,0.55875295,0.47067252,0.38330868,0.33030403,0.3325602,0.3812764,0.439806,0.4658434,0.4393336,0.37642327,0.3128592,0.27866855,0.27761808,0.29369456,0.30378616,0.29630375,0.2730553,0.24664366,0.22770113,0.22065638,0.22262271,0.22862802,0.23437627,0.23877881,0.24396251,0.2527196,0.2649068,0.27671567,0.2850247,0.29100683,0.29887626,0.3103582,0.32186595,0.3272908,0.32348213,0.31277218,0.3009976,0.29264715,0.2892454,0.28973544,0.2939924,0.301307,0.30952942,0.31336808,0.30911952,0.29726923,0.28278473,0.27024302,0.2616036,0.2563962,0.2545339,0.25647536,0.2636713,0.2773058,0.29780328,0.32205835,0.3433468,0.3540871,0.3514974,0.3390417,0.3236509,0.3097244,0.29812083,0.28730285,0.276903,0.26759702,0.26035187,0.25536478,0.25192568,0.2496325,0.24816823,0.24813747,0.24954635,0.2524087,0.2555783,0.25846767,0.26097953,0.26561132,0.27521786,0.2908797,0.30758595,0.31726518,0.31364676,0.29872575,0.28050628,0.26864478,0.2680228,0.27716336,0.2879727,0.29051003,0.27906194,0.25696644,0.2335953,0.21762045,0.21153794,0.21267177,0.21658225,0.2197677,0.22056453,0.2188928,0.21646018,0.21475947,0.21402092,0.21182893,0.20601171,0.19643117,0.1862657,0.17837714,0.17306672,0.1676689,0.1600218,0.15048563,0.14124073,0.1336781,0.12700182,0.11940675,0.11004549,0.1001809,0.09254211,0.08977175,0.09251651,0.09877118,0.104924,0.10873264,0.11095176,0.11398971,0.118837334,0.123493254,0.12524502,0.122556336,0.11611097,0.10691592,0.09615385,0.085492246,0.077803254,0.076328576,0.08117936,0.088729374,0.09338894,0.095519565,0.10212749,0.121301375,0.15095018,0.17984243,0.19811873,0.20715703,0.2136695,0.21849056,0.21604162,0.20875986,0.21754663,0.26722124,0.36082622,0.46304116,0.5250268,0.5178109,0.4570751,0.3824037,0.3286139,0.30392197,0.29855785,0.2995747,0.3014832,0.30469826,0.31214416,0.32541132,0.3448808,0.36638415,0.3834782,0.38815203,0.37848386,0.357751,0.33369398,0.31138217,0.29318812,0.27878264,0.2681909,0.26178262,0.26056775,0.26463127,0.27265742,0.28104654,0.28675517,0.2878684,0.28529236,0.28056002,0.27638772,0.2772188,0.29057345,0.32680866,0.3886868,0.4635249,0.51896584,0.5257054,0.47683808,0.3991811,0.33116865,0.30015603,0.30590186,0.3289958,0.3457917,0.34485015,0.32817125,0.30594656,0.2860326,0.27316022,0.2672111,0.2659088,0.26329672,0.25583294,0.24561471,0.24429052,0.26842487,0.32824817,0.4143331,0.49276328,0.525997,0.49788594,0.4281353,0.3525155,0.29949996,0.2761104,0.27454588,0.28138915,0.28476945,0.27949047,0.26986945,0.26820537,0.28615835,0.32528532,0.37314162,0.40870652,0.4154921,0.3906343,0.3466574,0.3020051,0.27305627,0.2665297,0.28026596,0.30734035,0.34560916,0.39692363,0.45777562,0.506931,0.51717836,0.476284,0.40289447,0.32794312,0.271324,0.22955412,0.19169249,0.15463883,0.12684047,0.1163449,0.12283042,0.13755928,0.15144904,0.1603985,0.16728376,0.17929111,0.20040578,0.22755907,0.2503605,0.262075,0.26138276,0.25142512,0.23238862,0.20564055,0.1770602,0.15631585,0.14967667,0.15634085,0.17488782,0.20863734,0.26779345,0.35376802,0.4503905,0.52107495,0.537134,0.49564323,0.4252082,0.35781404,0.31176314,0.28658852,0.27596816,0.27300653,0.27154943,0.2687639,0.26826105,0.27957547,0.30608463,0.339613,0.36241058,0.3635523,0.345596,0.3227692,0.30670094,0.30038762,0.2986133,0.29584363,0.28903857,0.27885613,0.26732853,0.25786114,0.25260976,0.2525233,0.25703713,0.26551506,0.2759504,0.2829418,0.28166413,0.27487937,0.27999333,0.3176714,0.39279902,0.47891104,0.533798,0.5295586,0.4759353,0.40734935,0.357102,0.33434245,0.33015552,0.3271018,0.3155851,0.2930843,0.2659315,0.23996626,0.22001924,0.20628546,0.19806397,0.1932602,0.1905029,0.18924747,0.19405591,0.21583264,0.26839235,0.3517981,0.44233155,0.4979502,0.49068835,0.42709863,0.34587017,0.2846721,0.25939217,0.26082078,0.2726302,0.28175834,0.2835845,0.27868277,0.27254462,0.2733443,0.28576186,0.3064041,0.32201162,0.32244548,0.30632302,0.284158,0.264908,0.2522216,0.2432311,0.23554504,0.23130973,0.23902877,0.27448845,0.34877375,0.45881185,0.5784347,0.673078,0.7117634,0.68220115,0.59191006,0.4720726,0.3666679,0.31709373,0.33673528,0.40524545,0.4743115,0.49996218,0.4637927,0.38716623,0.3090995,0.2652887,0.26386055,0.29049206,0.31590748,0.31888774,0.29296032,0.2506699,0.20846967,0.17851825,0.16177998,0.15341157,0.14720386,0.1401384,0.13450836,0.13892895,0.16794567,0.23225617,0.32632014,0.41997012,0.47465965,0.4685361,0.41437885,0.3455679,0.29220602,0.26404643,0.2564815,0.26065826,0.27031875,0.28099728,0.29139486,0.30451763,0.32541266,0.3529211,0.3761933,0.38017675,0.35915998,0.3208775,0.28142396,0.25274667,0.23863931,0.23570488,0.23848249,0.24207209,0.24398895,0.24450572,0.24538033,0.248172,0.2533475,0.2605587,0.26818392,0.27332506,0.27289167,0.2692065,0.27241564,0.29982078,0.35988763,0.4412628,0.5085446,0.5282062,0.49041292,0.42031276,0.35487667,0.32049146,0.31664935,0.32560006,0.32533288,0.30734387,0.2769883,0.24825911,0.22918476,0.21901684,0.21076947,0.19961177,0.18613224,0.1755449,0.1760395,0.19672327,0.24746835,0.33012903,0.43136096,0.5169516,0.55161166,0.51986384,0.44267583,0.3581845,0.2983955,0.26963386,0.26128727,0.2586844,0.255138,0.25124696,0.25214323,0.2623445,0.28337014,0.30964705,0.33102646,0.33651543,0.3243988,0.30131292,0.2792658,0.26502112,0.26000783,0.2607372,0.26446068,0.27191946,0.29094693,0.33333227,0.40509355,0.49681282,0.58477646,0.6425533,0.6519595,0.6093318,0.5259078,0.42922607,0.35455844,0.3333924,0.37134507,0.443398,0.50105935,0.5073399,0.45781413,0.3845956,0.3261738,0.3038117,0.3101892,0.32372573,0.32372978,0.30469242,0.27407095,0.24551077,0.2268459,0.21854804,0.21573263,0.21430685,0.21302783,0.21373445,0.22151838,0.2440852,0.29168478,0.36577842,0.45164648,0.5144176,0.52424395,0.47503495,0.39467502,0.3186993,0.27056327,0.24975407,0.24575633,0.24760629,0.2516292,0.25799346,0.2697219,0.2885739,0.31347367,0.33719155,0.349771,0.3438469,0.32191166,0.29350165,0.2697828,0.25555015,0.25071228,0.25166023,0.25577953,0.26070103,0.26612,0.27209592,0.2789607,0.28480062,0.28667137,0.2826948,0.27445698,0.26583827,0.26023737,0.26119938,0.27563223,0.31308496,0.37491342,0.44291434,0.48469147,0.4759891,0.42263588,0.3556104,0.30977845,0.2988919,0.31442595,0.33376887,0.33909988,0.3241278,0.2965442,0.2681344,0.24802957,0.23807961,0.23554237,0.23641197,0.23832254,0.24130587,0.24611588,0.25278652,0.25969687,0.26512375,0.26755947,0.26442334,0.25273415,0.23086111,0.20416075,0.18230867,0.17477624,0.18251942,0.19764374,0.21044014,0.21415544,0.21018453,0.20010825,0.18956302,0.18241018,0.18723613,0.20474343,0.22958207,0.24637361,0.24607013,0.2286421,0.20460306,0.18288147,0.167763,0.15922332,0.15633999,0.1578509,0.16178775,0.16775024,0.1770745,0.19139142,0.20971008,0.22774626,0.24092561,0.24553417,0.24226761,0.23432423,0.22867638,0.22912347,0.23548096,0.24232836,0.24829006,0.25760296,0.27633318,0.30250692,0.3231963,0.3229891,0.29312968,0.2406648,0.18285139,0.13881935,0.11704064,0.11602681,0.13060741,0.15754849,0.19214933,0.22527452,0.24642481,0.25540113,0.2661467,0.30154958,0.37128186,0.45880842,0.5244997,0.53685075,0.49483064,0.42787102,0.3685299,0.3329836,0.31925547,0.31900242,0.32529044,0.33337274,0.34108213,0.34886882,0.36039567,0.37599906,0.39113876,0.39573205,0.38505647,0.3614055,0.33519447,0.3146548,0.3042613,0.30240822,0.30614492,0.31152424,0.31601015,0.31794068,0.31789818,0.31753102,0.31907395,0.32315278,0.3289722,0.3348799,0.33972692,0.3445919,0.35405555,0.37807855,0.42382565,0.48693097,0.54215556,0.5595155,0.5228968,0.4490733,0.372223,0.32419738,0.3112158,0.32004192,0.32909393,0.3284271,0.32021013,0.31407228,0.31295767,0.3125859,0.30597237,0.29258776,0.27782124,0.26846644,0.26862705,0.2815874,0.31314933,0.36749077,0.43769908,0.4992768,0.5233601,0.49726823,0.43724814,0.37395203,0.3310138,0.3119553,0.30793253,0.30870914,0.30968037,0.31034818,0.31301188,0.3207414,0.3362523,0.35728005,0.37641063,0.38358748,0.37517962,0.3555855,0.3346994,0.3200033,0.31480256,0.3190216,0.33059677,0.34802508,0.37310612,0.414494,0.479496,0.56428003,0.64553815,0.6923111,0.681511,0.61475044,0.5151803,0.41882554,0.35664156,0.34802052,0.39083517,0.46299705,0.52402097,0.5394316,0.49945524,0.42910293,0.36531433,0.3336117,0.3325704,0.34473884,0.35095987,0.34489918,0.3306285,0.31707922,0.3080381,0.30311072,0.29935262,0.29551005,0.29098788,0.2859964,0.28323448,0.29014686,0.31943867,0.37783417,0.45630416,0.5238922,0.5489479,0.51844114,0.4512689,0.37845513,0.32509032,0.29694927,0.2888573,0.29163584,0.29886785,0.3067715,0.31583333,0.32912615,0.35035047,0.37790832,0.40433934,0.41814682,0.41316485,0.39155746,0.36399427,0.34070814,0.32758406,0.32343146,0.32467255,0.3271936,0.32925168,0.32946742,0.32776073,0.32494697,0.32510662,0.3326598,0.34882924,0.36748734,0.37865567,0.37737486,0.3716463,0.38091394,0.41910502,0.4796107,0.5323566,0.547107,0.5148313,0.45552826,0.39987528,0.3693279,0.36507297,0.37327144,0.37720132,0.3686241,0.3504863,0.33125508,0.31674442,0.3074756,0.30119488,0.29621223,0.29208586,0.28860554,0.28766534,0.29521477,0.32270277,0.3758794,0.44521976,0.5006864,0.5134239,0.47531608,0.40919244,0.34763741,0.31173304,0.30003175,0.2989263,0.29653004,0.29005936,0.28417096,0.28488457,0.2959155,0.3158621,0.33836588,0.35413226,0.35769728,0.35111007,0.34146747,0.33252153,0.32229185,0.30705687,0.28816357,0.27268603,0.27175817,0.29765666,0.3585138,0.4507124,0.5545959,0.6408108,0.6825469,0.66551536,0.5939501,0.49026692,0.3913192,0.33397436,0.3399339,0.40051794,0.4784975,0.5247306,0.51008636,0.44280782,0.3611132,0.30284572,0.28210947,0.28723785,0.29611757,0.29472017,0.28483823,0.27832723,0.28339627,0.2949412,0.3002665,0.28992334,0.26671818,0.24049573,0.2216328,0.21695654,0.23344393,0.2798092,0.3570566,0.44835627,0.51740074,0.5331648,0.4912566,0.42051253,0.35705635,0.32126138,0.30923387,0.3067384,0.3031927,0.2968957,0.29214653,0.29444382,0.30764636,0.32973185,0.35200682,0.3622884,0.3543274,0.33173266,0.30559525,0.28565583,0.2762035,0.2760115,0.281509,0.28895053,0.2955347,0.30014238,0.30273017,0.3037312,0.30312693,0.30058968,0.29596505,0.28977883,0.2834771,0.27994552,0.2850199,0.30858675,0.35856283,0.43046197,0.49901652,0.53113264,0.5079002,0.4432628,0.37184796,0.3266144,0.31636766,0.32916936,0.3433055,0.3451558,0.33293092,0.31519833,0.3006376,0.2932645,0.29133695,0.2909344,0.28888574,0.2841966,0.27909338,0.2799808,0.2972622,0.34043527,0.40763596,0.47876272,0.5225218,0.5180047,0.47141495,0.4110402,0.3646672,0.34135595,0.3336799,0.33081532,0.3285044,0.32677397,0.32691824,0.32974944,0.33828995,0.35275665,0.3690094,0.37757602,0.37528667,0.36670613,0.36198542,0.36394536,0.36787128,0.36593702,0.35637328,0.34577772,0.34694555,0.3745729,0.43537506,0.5218606,0.60843176,0.6641926,0.66552585,0.6111613,0.5203118,0.42684245,0.36268225,0.34901142,0.38636482,0.45525753,0.51885134,0.542683,0.51335096,0.44957852,0.38534483,0.3477067,0.33968887,0.3475766,0.35272774,0.3468428,0.3315337,0.31580746,0.30550846,0.30211535,0.30195388,0.30177498,0.30003294,0.2989333,0.30171105,0.3100547,0.32085648,0.3285035,0.32934356,0.32564092,0.32330787,0.32688487,0.33522192,0.34337625,0.34655762,0.34459937,0.34027037,0.3369849,0.33574012,0.33690158,0.34088078,0.34771967,0.35495842,0.35828438,0.3550421,0.3465917,0.33709118,0.3299907,0.32628703,0.32533088,0.3263125,0.32933006,0.33555984,0.3465158,0.36189508,0.37786248,0.38814667,0.38795128,0.3778491,0.36379066,0.3534818,0.35078576,0.35350773,0.3551294,0.35044765,0.33875278,0.3237541,0.30963364,0.2988664,0.2913803,0.28631544,0.282624,0.27996325,0.27804765,0.27661765,0.27507117,0.27355042,0.27381265,0.27866927,0.28883505,0.29993019,0.30418247,0.29602736,0.2775054,0.25713858,0.24496025,0.2466156,0.26103923,0.28159544,0.30007586,0.31189716,0.3171133,0.31878182,0.31876004,0.31775716,0.31567213,0.313574,0.31278875,0.31474888,0.31908655,0.32377222,0.32550642,0.3223529,0.31483904,0.30571333,0.2979826,0.292997,0.29034546,0.28870586,0.28772935,0.2881682,0.2908193,0.29533356,0.29996237,0.30344042,0.30543903,0.30693194,0.30841914,0.30968496,0.3101288,0.30976358,0.3097049,0.31065354,0.31230724,0.31296483,0.3115393,0.30812895,0.30390754,0.29963908,0.29520246,0.29008567,0.28441384,0.27942577,0.27660534,0.27626142,0.27678797,0.27603975,0.27310917,0.26912996,0.26574817,0.26392993,0.26349214,0.26416028,0.26583645,0.26844636,0.27139315,0.27363196,0.27452075,0.2742091,0.27332976,0.2717228,0.2680458,0.2609162,0.25046626,0.23871249,0.22788799,0.21841218,0.20905124,0.19796537,0.18535917,0.17252094,0.1621299,0.15609439,0.15677768,0.16513212,0.17970829,0.19521247,0.20506817,0.20590882,0.19931076,0.19014436,0.18255891,0.1786753,0.17897113,0.18306583,0.19050957,0.20112193,0.21552671,0.23339558,0.2515681,0.2638197,0.26446816,0.25233975,0.23176067,0.20944093,0.19150706,0.18197535,0.18198651,0.18818904,0.19350946,0.1916924,0.18209946,0.16910686,0.15735526,0.14811343,0.14066708,0.13491422,0.13233335,0.13405067,0.13926362,0.14505668,0.14805885,0.14660089,0.1419416,0.1377846,0.13761835,0.1420601,0.14798854,0.15110533,0.14948718,0.14485149,0.14079987,0.14022015,0.14464884,0.15436532,0.16751127,0.17965685,0.18487048,0.18023252,0.16759394,0.15348643,0.14396523,0.14202367,0.14549758,0.1500504,0.15191734,0.15176825,0.1546401,0.16563278,0.18425117,0.2016154,0.20700835,0.19494574,0.17025663,0.14326192,0.124127425,0.11744725,0.12170849,0.1307675,0.13729511,0.13659382,0.12854491,0.11678503,0.10565948,0.097925775,0.09416601,0.09367969,0.095074184,0.09668201,0.09693634,0.09519208,0.092009485,0.08860154,0.08596318,0.08430883,0.08343666,0.08292839,0.08265404,0.08246407,0.08249665,0.08266143,0.08304337,0.08339458,0.08374927,0.08390021,0.084013276,0.083974965,0.08400643,0.08396458,0.083960585,0.08402058,0.08540043,0.09091794,0.10486267,0.13019441,0.16521494,0.20271517,0.23336023,0.25183892,0.259379,0.26158428,0.2627219,0.26357844,0.2625486,0.2589933,0.25363523,0.24783045,0.24226387,0.23731916,0.23324953,0.22996442,0.22678077,0.2230318,0.21955587,0.21900623,0.2242468,0.23477842,0.24623446,0.25324574,0.25560442,0.25811872,0.2663151,0.2791643,0.28972942,0.2898959,0.2770953,0.25548226,0.2334354,0.21829392,0.21293533,0.21499032,0.21986622,0.22337063,0.22359537,0.22000086,0.21335377,0.20488445,0.19631201,0.18906255,0.1841688,0.18225099,0.18326676,0.18649608,0.19059193,0.19489034,0.19997591,0.20713997,0.21584831,0.22267306,0.22301634,0.21506232,0.20118974,0.18605615,0.17339694,0.16508752,0.1617292,0.16306375,0.16773601,0.17378186,0.17951493,0.18380977,0.1853916,0.1830001,0.1772691,0.17154878,0.17040746,0.17496137,0.18201424,0.18578438,0.18336065,0.17547299,0.1656938,0.15693593,0.15097715,0.14845896,0.14980935,0.15494137,0.16281675,0.17132483,0.17820446,0.18216689,0.18358557,0.18368115,0.18349303,0.18294199,0.18128467,0.17777024,0.17261125,0.16694598,0.16260533,0.16081685,0.16170728,0.16388792,0.16559261,0.16543359,0.16323626,0.15986753,0.15670936,0.1549472,0.1549132,0.15620054,0.15792619,0.15938444,0.16016388,0.16030957,0.16012634,0.16004694,0.16038615,0.16134095,0.16337122,0.16733302,0.17412144,0.18330836,0.19275896,0.19946139,0.20196068,0.20136344,0.2006507,0.20224689,0.20643543,0.21154778,0.21618329,0.22154374,0.23075409,0.24495053,0.25964713,0.26683006,0.26160863,0.24661984,0.22996269,0.21876909,0.2162553,0.22154377,0.23145781,0.2407151,0.24390835,0.23838858,0.22542043,0.2088412,0.19227755,0.17876197,0.17043823,0.1678978,0.16886856,0.16909562,0.16507727,0.15698747,0.14847542,0.1448682,0.14927341,0.1614004,0.17682798,0.19042431,0.1982315,0.1999241,0.19729953,0.19343598,0.19040518,0.18891545,0.18767537,0.18497725,0.18011801,0.17473827,0.1718394,0.17402136,0.18170102,0.19270019,0.20327367,0.20990191,0.21113347,0.20778571,0.20213585,0.19615144,0.19095556,0.18647659,0.18236691,0.17847718,0.17610455,0.17762893,0.18522923,0.19837493,0.21326177,0.22445385,0.22827457,0.22466873,0.21724062,0.21064557,0.20827754,0.21031934,0.21458596,0.21814735,0.21912813,0.21703075,0.21236473,0.20626585,0.20032823,0.19598626,0.19476432,0.1978967,0.20715652,0.22202545,0.23912787,0.25128442,0.2535611,0.24566352,0.23330975,0.22206318,0.21485813,0.21078508,0.20833932,0.20652455,0.20516646,0.20447512,0.20446277,0.20540078,0.20683838,0.20857237,0.20978849,0.21054862,0.21065468,0.21074505,0.21084493,0.21136947,0.21199478,0.21300948,0.21459664,0.21778716,0.22282392,0.22910643,0.23438309,0.23664021,0.23518462,0.23151253,0.2279237,0.22627997,0.22736746,0.23181848,0.24052024,0.25374103,0.2692735,0.2826433,0.2907274,0.29489484,0.3004807,0.31113455,0.32571018,0.3394114,0.3487316,0.3537543,0.35666266,0.35935137,0.36185917,0.36359394,0.36413845,0.36417377,0.36463037,0.36600757,0.36782154,0.3692195,0.3695,0.36868298,0.3670939,0.36542702,0.3641434,0.36346254,0.36303344,0.36252975,0.3622708,0.3631998,0.3661859,0.37112546,0.37726262,0.38354063,0.38906005,0.39284658,0.39427003,0.39329347,0.39083564,0.3880838,0.38603124,0.3847573,0.38395122,0.38322464,0.38270292,0.38259566,0.3828621,0.38317552,0.38318494,0.38288626,0.3823098,0.3814479,0.38007697,0.37831476,0.3768607,0.37718704,0.3801813,0.385216,0.3895392,0.39061448,0.38765666,0.3821415,0.37529147,0.3668442,0.35531628,0.34021524,0.32279912,0.3059999,0.2925451,0.28388122,0.27920154,0.27673265,0.27519986,0.2746838,0.2756387,0.27760455,0.27937272,0.27996933,0.27940696,0.27819955,0.27685896,0.27564144,0.27457884,0.27328622,0.2712116,0.2681152,0.26461327,0.2615535,0.25941375,0.2576402,0.2555588,0.25283846,0.25009367,0.24764796,0.24500185,0.24065769,0.23387097,0.22550033,0.2176867,0.21207277,0.20870031,0.20639747,0.20385997,0.20075016,0.1974542,0.19455926,0.19207388,0.18966603,0.1872013,0.18515165,0.18453516,0.18619418,0.19020933,0.19527376,0.19916432,0.1996967,0.1958614,0.1884222,0.17968516,0.17285621,0.16997845,0.17048496,0.17097796,0.16844869,0.16411686,0.16513564,0.18166892,0.21914093,0.27311411,0.329049,0.3722814,0.39522275,0.40114877,0.39750013,0.39151034,0.38647923,0.3833915,0.3813175,0.3792309,0.37659475,0.37416485,0.37248242,0.37122032,0.36888072,0.3649598,0.3602012,0.35613087,0.35309324,0.35054624,0.34807062,0.3462341,0.34579834,0.3465656,0.34727764,0.34654987,0.34399113,0.34062243,0.3383124,0.33869573,0.3418273,0.34593418,0.34828186,0.3469454,0.34186816,0.33461568,0.32724354,0.32112885,0.3166931,0.31377098,0.31253198,0.313748,0.3182708,0.32542995,0.3326572,0.33648655,0.33533,0.33032298,0.32443357,0.3198724,0.317215,0.31628096,0.3176928,0.3234347,0.3348606,0.35078108,0.36620018,0.37532163,0.37467706,0.3661814,0.35502782,0.3466688,0.34283772,0.3418778,0.34066963,0.3378178,0.33422306,0.3318968,0.33204892,0.33440328,0.33782664,0.34133494,0.3441528,0.3455268,0.3445641,0.3413963,0.3375813,0.335318,0.33586824,0.33852437,0.34200117,0.34507522,0.3478872,0.35043892,0.35301995,0.35502586,0.3563869,0.35684097,0.35700038,0.35714152,0.35766712,0.35828817,0.3587573,0.35887575,0.35882196,0.359004,0.3596125,0.36066046,0.3617225,0.362523,0.36285725,0.36290053,0.36285388,0.36280406,0.36270025,0.3623893,0.362101,0.36207044,0.3625835,0.36324957,0.36356887,0.36305872,0.36194286,0.36083487,0.36037755,0.36087677,0.3620712,0.36368403,0.36530185,0.36700454,0.36862168,0.3701333,0.37109327,0.37143502,0.37120536,0.37056658,0.36915207,0.36619088,0.3612806,0.35515642,0.3493894,0.34535646,0.34294054,0.34110698,0.3386515,0.3356248,0.3328695,0.33159697,0.3325208,0.3356172,0.3400381,0.34409478,0.34605375,0.34488598,0.34120622,0.33694616,0.33461264,0.33612671,0.34200504,0.35086238,0.35939142,0.363673,0.3613924,0.3537401,0.3448409,0.3389567,0.33785036,0.34056672,0.3453002,0.3504279,0.35437748,0.3549184,0.35077345,0.34273347,0.3339052,0.32720083,0.323909,0.3235166,0.32493374,0.32715014,0.32919756,0.33016384,0.32948563,0.32730412,0.32437363,0.3215389,0.3191568,0.31705847,0.31522694,0.31465963,0.31700802,0.3226414,0.32953796,0.33427942,0.33552548,0.33480468,0.3349934,0.33714232,0.34036097,0.34358326,0.34634772,0.3486015,0.34916946,0.34752128,0.3438712,0.34020993,0.33781934,0.33740374,0.3385054,0.34105933,0.3450189,0.35020414,0.35519627,0.35787654,0.35669717,0.35230246,0.34688795,0.3423327,0.33876303,0.33529735,0.3316336,0.328483,0.32679257,0.32666317,0.32737294,0.32801968,0.3281064,0.32772222,0.3270278,0.32614598,0.32488486,0.3233281,0.32187912,0.32129458,0.32200548,0.32370165,0.3254703,0.32629678,0.32574487,0.32408586,0.32211724,0.3206114,0.31981754,0.31949487,0.31912252,0.31840134,0.317232,0.315802,0.31422207,0.31243092,0.31013265,0.3070955,0.3038364,0.30163202,0.30291542,0.30927682,0.32077253,0.33401337,0.3451613,0.35156384,0.3543079,0.35589683,0.35835877,0.36182722,0.36516812,0.36755273,0.36839402,0.36779308,0.36566827,0.36256456,0.35929212,0.35697198,0.3561182,0.3563936,0.35698047,0.3572421,0.3573641,0.35790363,0.35935673,0.36136863,0.36317232,0.36425433,0.3658631,0.37090847,0.38240352,0.3994986,0.41640618,0.42470387,0.420248,0.40596208,0.39018264,0.37968484,0.37597576,0.37543634,0.37362716,0.36871353,0.36213198,0.35652113,0.3531815,0.35159612,0.35059896,0.34973276,0.34928545,0.34940314,0.34978628,0.34973478,0.34900928,0.34759685,0.34589872,0.34397745,0.34190246,0.33951795,0.33696592,0.3345503,0.33270487,0.33158886,0.3309767,0.3305216,0.3301279,0.3299425,0.3300351,0.3301066,0.32977617,0.32888195,0.32764038,0.3266295,0.3269007,0.3302925,0.33813164,0.3494939,0.35936734,0.36179855,0.35425076,0.3416194,0.33199546,0.33048022,0.33410987,0.3359491,0.33115515,0.32135653,0.3116076,0.30604193,0.30504537,0.30674544,0.30820453,0.30557922,0.292802,0.26443946,0.21976663,0.16686326,0.11803928,0.083399534,0.06459891,0.057313595,0.055397917,0.055111166,0.054878443,0.054530766,0.054135773,0.054033577,0.054256048,0.05480862,0.055366617,0.056098804,0.057056468,0.05833767,0.05995847,0.063569784,0.07259313,0.08931469,0.11022756,0.12568483,0.12652153,0.11193374,0.08987319,0.07054756,0.059298024,0.05702403,0.06350299,0.08016745,0.107230626,0.14121068,0.17445435,0.19982006,0.2141232,0.21944128,0.21975337,0.21855782,0.21738298,0.21708274,0.21844299,0.22245543,0.22868852,0.23474056,0.23705085,0.23417039,0.2280112,0.22260308,0.22057398,0.22184883,0.22435683,0.22639878,0.2277757,0.23054123,0.23727052,0.24910355,0.2630926,0.2734262,0.27435246,0.26447707,0.24729775,0.22927956,0.21555607,0.20801783,0.20526426,0.20508032,0.20578368,0.20683984,0.20804173,0.20910716,0.20944619,0.20857339,0.20642845,0.20367312,0.20122188,0.1998164,0.19939037,0.19949861,0.1995507,0.1994564,0.19923727,0.19897594,0.19841562,0.19728558,0.19539995,0.19289541,0.19010465,0.18743068,0.18525837,0.18390779,0.18349786,0.18414824,0.18682152,0.1946407,0.21187226,0.2397662,0.27190635,0.2947717,0.29632953,0.27452168,0.23980193,0.20637268,0.18389748,0.17312948,0.16999704,0.17005767,0.17133497,0.17437328,0.17983872,0.18653826,0.19044662,0.1878885,0.17872854,0.16651995,0.15497456,0.1443623,0.13234067,0.11667156,0.0980285,0.07894126,0.06196015,0.04779707,0.035952684,0.02579602,0.01736818,0.01101182,0.0067750514,0.004242808,0.0027944685,0.0019291668,0.0013723864,0.0010165531,0.0008537062,0.00090849196,0.0012175711,0.001781517,0.0025515817,0.0034287784,0.0042902553,0.0050253426,0.005550567,0.005846595,0.0059530027,0.005971951,0.0060001197,0.0060924985,0.0062415306,0.006433858,0.006844245,0.008580706,0.014274401,0.027875409,0.051576346,0.08316455,0.1152327,0.14008127,0.15414381,0.15986331,0.16216119,0.16468382,0.16851617,0.17291814,0.17708659,0.18008018,0.18151802,0.181237,0.1798532,0.17796904,0.17615682,0.17479213,0.17458081,0.17627044,0.18032102,0.18647988,0.19408631,0.20230837,0.21054316,0.21834487,0.22551085,0.23176484,0.23691438,0.24077457,0.24346511,0.24515526,0.2461323,0.24649356,0.24626572,0.24511348,0.24262078,0.23837854,0.23257522,0.22594242,0.21965577,0.21470575,0.2116623,0.21053927,0.21105646,0.21273331,0.2150302,0.21730602,0.2190668,0.220178,0.22111183,0.22269602,0.22561674,0.22989565,0.23487073,0.23966193,0.24376114,0.24720311,0.2503123,0.2527616,0.2530819,0.2482906,0.23614745,0.21677285,0.19465281,0.17559253,0.16453938,0.16215873,0.16670002,0.17482762,0.18451893,0.19442569,0.20437402,0.21376115,0.22224264,0.22914732,0.23448461,0.23811884,0.24041033,0.24157359,0.24245466,0.24378262,0.24652243,0.2508938,0.2566321,0.2626029,0.2678423,0.27180973,0.27483168,0.277344,0.27943024,0.28010324,0.27768707,0.2706572,0.25929284,0.24590933,0.23396139,0.22582741,0.22202654,0.22135247,0.22235145,0.22391333,0.2257421,0.22778566,0.23013617,0.23254155,0.23473628,0.23631822,0.23716521,0.23714833,0.2363782,0.23504059,0.23367558,0.23294115,0.23330855,0.23477334,0.23687641,0.2392859,0.24192323,0.2451555,0.24911809,0.25326133,0.25556973,0.25297448,0.24340224,0.22802775,0.21204294,0.20114774,0.19818906,0.20121987,0.20636827,0.21051048,0.2130692,0.21504535,0.21780169,0.2220012,0.2274244,0.23335652,0.23926567,0.24502353,0.25084993,0.2568755,0.26320222,0.26975942,0.27640548,0.2827801,0.2884606,0.29312947,0.29674777,0.29963794,0.30230308,0.30511722,0.30791822,0.31005043,0.31074917,0.309768,0.30745563,0.30456284,0.30156443,0.29855493,0.2951324,0.29098773,0.28595293,0.2802683,0.2741324,0.2677807,0.26139575,0.25546676,0.25046298,0.24651434,0.24311619,0.2397029,0.23617929,0.23309009,0.23101558,0.23010612,0.23000163,0.23011078,0.22997148,0.22927202,0.22811818,0.22681487,0.22595666,0.22579479,0.22620957,0.22658145,0.22644441,0.22582595,0.22544365,0.2263692,0.22961976,0.23574068,0.24452595,0.25496626,0.2656592,0.2755114,0.28424692,0.29232082,0.30039132,0.3088601,0.31764004,0.32613078,0.33342454,0.33876872,0.34212232,0.34423956,0.34621358,0.34877014,0.35183868,0.35467017,0.3562931,0.35608816,0.35395393,0.35007802,0.3441906,0.33516,0.32104924,0.30097452,0.27664173,0.25320342,0.23613812,0.2283833,0.22839208,0.23275293,0.23846614,0.2443649,0.25007725,0.25552738,0.26092854,0.26649925,0.2714596,0.27277982,0.26646838,0.25064304,0.2288246,0.20893586,0.19835962,0.19927655,0.20828098,0.22095919,0.23485835,0.24985681,0.26499966,0.2782761,0.2870805,0.29003373,0.28544995,0.27178714,0.24848153,0.21943547,0.19162558,0.17194952,0.16264093,0.16165115,0.1649599,0.16951877,0.17374301,0.17722718,0.17992835,0.18212892,0.18400961,0.18585281,0.18728292,0.18767144,0.18605612,0.18259032,0.17837243,0.17538492,0.17490871,0.17714484,0.18109167,0.18539672,0.18908273,0.19176184,0.19366378,0.19495876,0.19570409,0.19522375,0.19272839,0.18751173,0.18012516,0.17195584,0.16486289,0.15998937,0.1577564,0.15786225,0.1596386,0.1622448,0.16499774,0.16767432,0.17042245,0.17349672,0.17678545,0.17954367,0.18066347,0.17958565,0.17737019,0.17654294,0.17975819,0.18812807,0.20067658,0.21524864,0.22957931,0.24232721,0.25284743,0.26128432,0.2673441,0.26972318,0.26507524,0.25025296,0.2250006,0.19450329,0.16672587,0.1480732,0.13978477,0.13893022,0.14132823,0.14393657,0.14547797,0.14584653,0.14543514,0.14456242,0.14353383,0.14285244,0.1427511,0.14276423,0.1417755,0.13958628,0.13732596,0.13698946,0.13964742,0.14512688,0.15216334,0.15948416,0.16617511,0.17206277,0.17713077,0.18128367,0.18401283,0.18476403,0.18299408,0.17851365,0.17189156,0.16459046,0.15854287,0.15509123,0.15461175,0.15639095,0.15937914,0.1625485,0.16569209,0.16914338,0.1736508,0.1792525,0.18533444,0.19027995,0.19283466,0.19248588,0.19075961,0.19003773,0.19295935,0.20041369,0.21187234,0.2253933,0.23923723,0.25206614,0.26357687,0.27375773,0.28248167,0.288303,0.28831175,0.27965918,0.2622844,0.24063557,0.22121681,0.20885955,0.20389193,0.2036743,0.20500094,0.20599224,0.20607229,0.20538543,0.20432727,0.20297652,0.20112897,0.19852157,0.19525498,0.19173257,0.18828212,0.18506877,0.18218392,0.17978905,0.1779508,0.17651445,0.17517306,0.17374998,0.17222619,0.17082863,0.16973275,0.16912234,0.16892861,0.16899645,0.16918729,0.16945525,0.16986667,0.17029494,0.17063522,0.17067121,0.17031413,0.169354,0.16771485,0.16551453,0.16323997,0.16140366,0.16023944,0.1594296,0.15831023,0.15622152,0.15304273,0.14932948,0.1461228,0.1443124,0.14421208,0.14550485,0.14757554,0.1500222,0.15270333,0.1557164,0.15881045,0.16125816,0.1613484,0.15645738,0.14366522,0.121803455,0.09334848,0.06420852,0.04068551,0.026255922,0.020537985,0.0210984,0.024869263,0.029076837,0.031047955,0.029578099,0.025642777,0.022471428,0.023620332,0.030221552,0.03987116,0.047252636,0.04840051,0.042874545,0.03444056,0.02742598,0.024687978,0.026125705,0.029719317,0.032723628,0.033850346,0.034372102,0.0372276,0.04495972,0.058633436,0.07767006,0.099934034,0.12109226,0.13661785,0.14331156,0.14113389,0.13215049,0.12119629,0.1141099,0.114943005,0.121012025,0.12443933,0.11759633,0.10068976,0.08200881,0.07323095,0.08090153,0.10288868,0.12978221,0.15255071,0.1655563,0.16852193,0.16340552,0.15695618,0.1565838,0.16696481,0.18285792,0.1938973,0.19320905,0.188142,0.19980212,0.24924056,0.33724347,0.43479753,0.50148517,0.5163381,0.49382043,0.46671554,0.45692337,0.46218228,0.4665315,0.4574175,0.43367136,0.40171802,0.37005976,0.34510732,0.33126342,0.32863614,0.3338593,0.3410085,0.34775338,0.35612246,0.37046042,0.3913335,0.41429043,0.4339701,0.44796804,0.45886764,0.46918193,0.47953284,0.48580644,0.48194036,0.46051207,0.41726288,0.3547095,0.284678,0.22332533,0.18484159,0.17827141,0.21054874,0.28021932,0.36876047,0.43688104,0.44988012,0.40242937,0.32620648,0.26211032,0.23345621,0.2354943,0.24766695,0.2504735,0.23625343,0.21099935,0.18795882,0.18133296,0.20075913,0.24770407,0.3120627,0.37529168,0.42163944,0.44920865,0.470475,0.50012547,0.54136395,0.5807622,0.59706336,0.57737696,0.52963084,0.47885466,0.449415,0.4473773,0.45785543,0.45971504,0.44118512,0.40694103,0.36945236,0.34006998,0.32269382,0.31624278,0.31649256,0.31848028,0.31865358,0.31740305,0.3194059,0.32915962,0.34722257,0.3680223,0.38427377,0.39162433,0.39467418,0.40479875,0.43400553,0.48355138,0.5431785,0.5938962,0.6184601,0.60312426,0.54586166,0.45905337,0.37265173,0.32089278,0.3259673,0.38122025,0.45098615,0.48731196,0.46098658,0.38198996,0.29228023,0.23688586,0.23582546,0.28095117,0.3460982,0.40715823,0.4489114,0.46910706,0.47101474,0.46187118,0.44951132,0.44241205,0.44510698,0.45624304,0.47010246,0.4832313,0.4988103,0.52497774,0.5636254,0.6033098,0.62178355,0.60551196,0.5606161,0.5094448,0.4693239,0.44074348,0.41169724,0.37234774,0.32500654,0.27985156,0.2482739,0.23578851,0.24446042,0.27111706,0.30869523,0.34487864,0.37010396,0.38172236,0.38544187,0.38865006,0.3959985,0.40874568,0.42559505,0.44406652,0.46027732,0.47175333,0.477424,0.47677493,0.4659485,0.43942094,0.3947178,0.33851966,0.2843626,0.24659304,0.23554534,0.2589004,0.3194567,0.40555575,0.48512563,0.51931834,0.49067295,0.418427,0.34326315,0.2975814,0.28550935,0.29069924,0.29197785,0.28129306,0.26244563,0.24708343,0.24353461,0.25740647,0.2908493,0.3425249,0.40287974,0.45575002,0.4877448,0.4978126,0.49969435,0.5105537,0.5376975,0.5692411,0.58416945,0.56873024,0.5306284,0.49064913,0.46770158,0.4649923,0.47414136,0.4817964,0.47704986,0.45249173,0.4091388,0.35897514,0.32362375,0.31945553,0.34770617,0.39128068,0.43264392,0.46283105,0.4849975,0.49942216,0.4987994,0.47126043,0.41467893,0.34527603,0.29309714,0.2877407,0.3384672,0.42943516,0.52624625,0.5965142,0.61849505,0.5861225,0.5061764,0.40354064,0.31508696,0.27850604,0.30992624,0.39443293,0.49010906,0.5532536,0.5651651,0.54016596,0.5082423,0.48708138,0.4721732,0.44697967,0.40267706,0.34845904,0.30676317,0.2975578,0.32374927,0.36889467,0.41037342,0.43405375,0.4415429,0.44175717,0.44294345,0.4485145,0.4628282,0.4907372,0.5307221,0.5669949,0.5771782,0.5509055,0.5017782,0.45616284,0.4324243,0.42814806,0.42916957,0.42248014,0.40544102,0.38196602,0.35878357,0.34141842,0.33409813,0.33715484,0.34651685,0.35562757,0.36148372,0.36791885,0.38157865,0.40552056,0.43410718,0.45948115,0.47614077,0.48651254,0.4942273,0.50209504,0.5078933,0.5075908,0.49447262,0.46320775,0.4129497,0.3517666,0.29203016,0.246778,0.22736919,0.2477725,0.31338608,0.4075451,0.48460937,0.5005295,0.44554976,0.3558904,0.28121632,0.24902166,0.25089967,0.2601625,0.25532094,0.23335789,0.20536555,0.18622585,0.18534501,0.20736206,0.2513717,0.31049314,0.3689905,0.4117684,0.43445554,0.4494177,0.4744893,0.5176733,0.5670555,0.5975147,0.5892215,0.54479444,0.48861548,0.44842592,0.4344318,0.43595207,0.43488216,0.42169654,0.40008307,0.3797849,0.36852694,0.3678216,0.37446007,0.38247216,0.38609144,0.38279602,0.37559506,0.37177756,0.37705544,0.3907374,0.40424737,0.40847802,0.40101275,0.39232215,0.39930356,0.43441522,0.49394265,0.56069046,0.6139198,0.6385534,0.6241648,0.56623954,0.4728389,0.37224352,0.30341524,0.29688534,0.35242775,0.43682766,0.4971931,0.49566332,0.43222323,0.3447267,0.27883336,0.26003468,0.28571242,0.33509973,0.38578162,0.42253804,0.44246772,0.45044294,0.4543719,0.4593257,0.46709713,0.476302,0.4844167,0.48974717,0.4943862,0.50473404,0.528734,0.5675378,0.60977244,0.63395303,0.624213,0.5831726,0.53021055,0.48423183,0.4493877,0.41795555,0.38214,0.34380314,0.31017312,0.2885412,0.28125486,0.2886515,0.307682,0.33233893,0.3533827,0.36478934,0.3675171,0.36751083,0.37047935,0.37720963,0.38738194,0.39917064,0.41192016,0.4221046,0.42762768,0.42743525,0.42376724,0.41729164,0.4063518,0.3876762,0.36135492,0.33237037,0.3089173,0.2998434,0.31431898,0.35881734,0.4275218,0.49507234,0.5261547,0.5008973,0.4325076,0.35736546,0.30783895,0.2908918,0.29232156,0.29182976,0.28065556,0.26195922,0.24656986,0.24269365,0.25581157,0.2876347,0.33653057,0.3934343,0.44464436,0.47906816,0.4959259,0.50561386,0.5215142,0.5512079,0.5869432,0.6120729,0.61103463,0.58666134,0.55405015,0.52966005,0.5137486,0.4953734,0.46263966,0.41530177,0.36404112,0.32291567,0.3007067,0.2976593,0.3061356,0.31593764,0.31746686,0.30878845,0.2937278,0.28071138,0.2743021,0.2752404,0.28010783,0.28551584,0.29078576,0.3012018,0.32805893,0.3795923,0.45266357,0.5296101,0.58867335,0.61235666,0.59321684,0.5351833,0.45597026,0.38453212,0.35053217,0.36954418,0.43068525,0.49796233,0.52799034,0.49970818,0.42881605,0.35528997,0.31212398,0.3043029,0.3145828,0.32117382,0.31660938,0.3047683,0.29470316,0.2879628,0.28310373,0.2779862,0.2749676,0.275239,0.27834085,0.2819481,0.28564632,0.28993425,0.29502773,0.29963815,0.30188182,0.30067423,0.29617736,0.2904409,0.2861826,0.28592813,0.28909063,0.29248142,0.29160413,0.28545752,0.27641854,0.26895916,0.26513812,0.26498923,0.26683763,0.26925746,0.270274,0.26850912,0.2634604,0.25660166,0.24974334,0.24453132,0.24135374,0.24039875,0.2421233,0.24816321,0.26079,0.28023258,0.3029137,0.32104626,0.32793674,0.32115063,0.30488732,0.2856256,0.2700669,0.26195076,0.26306817,0.27119163,0.2816513,0.28772113,0.28625658,0.27794352,0.26803645,0.26056036,0.25786123,0.25850376,0.2606219,0.2615737,0.2603334,0.2566336,0.2518873,0.24738453,0.24414945,0.24213587,0.24125284,0.24136768,0.2425971,0.2451641,0.24974187,0.25743487,0.26836297,0.28068972,0.29025522,0.2937678,0.29034355,0.28316712,0.2760013,0.27238318,0.27249202,0.27509883,0.27721497,0.27795377,0.27840123,0.28149137,0.28789234,0.29519236,0.29936996,0.2984232,0.2931815,0.28577492,0.27756172,0.2692804,0.2615364,0.25560775,0.25208196,0.25106695,0.25192392,0.2550793,0.2618078,0.2729895,0.28661174,0.297653,0.30134436,0.2968789,0.28757188,0.27794468,0.27089578,0.2680348,0.2694267,0.27339545,0.27657297,0.277591,0.27922547,0.2857525,0.2976853,0.3094289,0.31466058,0.31081167,0.30121967,0.28999326,0.28023112,0.27213493,0.26612714,0.26189283,0.26021445,0.26066977,0.2635558,0.2677413,0.27277803,0.2770097,0.2795169,0.2789786,0.2756356,0.27000117,0.2630686,0.2547603,0.2455466,0.23686779,0.23175366,0.23187922,0.2360244,0.2399931,0.24028014,0.2363955,0.23088126,0.22662342,0.22546543,0.22800452,0.2336125,0.23977529,0.24303377,0.24197544,0.23902173,0.23803462,0.23963134,0.2399817,0.23486738,0.22446108,0.21351771,0.20657854,0.20464544,0.20563704,0.20828491,0.21273673,0.21909799,0.2251165,0.2276211,0.22528128,0.22068869,0.21928783,0.2264179,0.24311924,0.2647617,0.282395,0.2892463,0.2841377,0.27195922,0.25813934,0.24622776,0.23728144,0.23169643,0.22899486,0.22764127,0.22591776,0.2231711,0.22038348,0.21896566,0.22012956,0.22407715,0.23024195,0.2363521,0.2394796,0.23691845,0.22923714,0.21961395,0.21261543,0.2103553,0.2123939,0.2166705,0.22233774,0.22929573,0.23654014,0.24059437,0.23834969,0.23088564,0.22409087,0.22409303,0.23158951,0.24136555,0.24586792,0.24123631,0.22882056,0.21427406,0.20249794,0.19539976,0.19121951,0.18780941,0.18430535,0.18146962,0.18040673,0.18185665,0.18606997,0.19192107,0.19669555,0.19747774,0.19434209,0.19159389,0.19393046,0.20043139,0.20290004,0.19306748,0.17178392,0.14964084,0.1369052,0.13371919,0.13215978,0.12620153,0.11853363,0.11518716,0.11840447,0.12263813,0.12072148,0.10820573,0.08684331,0.061685372,0.03871758,0.021689242,0.01141007,0.0063241026,0.0041786153,0.003283276,0.0028167588,0.0027141117,0.0042136614,0.010469907,0.026351593,0.054754425,0.093495466,0.13390104,0.16672264,0.18665175,0.19563012,0.19808578,0.1983186,0.19768448,0.19689721,0.1959399,0.19524322,0.1945859,0.19411178,0.19361615,0.19330251,0.19285442,0.19240534,0.19182497,0.19152254,0.19133471,0.19137655,0.19122303,0.19099921,0.19047898,0.19003457,0.1896131,0.18951847,0.18942857,0.18943556,0.18937083,0.18954818,0.18973303,0.18987292,0.18961088,0.18903172,0.18798716,0.18680511,0.18610166,0.18706907,0.19026257,0.1952252,0.2005025,0.20468639,0.20710073,0.20778656,0.20754854,0.20713775,0.20744266,0.2083083,0.20972265,0.21105397,0.21284181,0.21484238,0.21745574,0.21965826,0.2217023,0.22310765,0.22478841,0.22608997,0.22723258,0.22741151,0.22751164,0.22763999,0.2285804,0.22973119,0.23102643,0.23211545,0.2333833,0.23493163,0.23651417,0.23775695,0.23822403,0.23844205,0.23853552,0.23901387,0.23910908,0.23905623,0.23850767,0.2383591,0.2380234,0.23781396,0.23718198,0.23707883,0.23714934,0.23740172,0.23684289,0.23584145,0.23471487,0.23405667,0.23350275,0.23260999,0.23134659,0.23011194,0.22949827,0.22916211,0.22884317,0.22798185,0.22716196,0.22636199,0.22599208,0.22546072,0.22508089,0.22453952,0.22437048,0.22429031,0.22471493,0.22520249,0.22601451,0.22699039,0.2287637,0.23119444,0.23404665,0.23652083,0.2384031,0.23994003,0.24153037,0.24338949,0.24497598,0.24613081,0.24692261,0.24890196,0.2532057,0.26053634,0.2692045,0.2770348,0.28143182,0.28195596,0.2791891,0.27560484,0.2731212,0.27359274,0.27678788,0.28194416,0.28732136,0.29242423,0.29720262,0.3026354,0.30862746,0.31378698,0.31457198,0.30806184,0.29435202,0.27826655,0.26604256,0.26151547,0.26367998,0.2690305,0.27411518,0.27750143,0.27916968,0.2802792,0.28244993,0.2874684,0.29619285,0.3077213,0.31938982,0.3279986,0.33195665,0.33198014,0.33046862,0.3294983,0.32988206,0.3312142,0.33268055,0.33383155,0.33463332,0.33550778,0.3367634,0.3387103,0.3413168,0.34441817,0.3473711,0.34940362,0.34995988,0.3492528,0.34818086,0.3476752,0.3481548,0.34929442,0.35046554,0.35099825,0.3504083,0.34816706,0.34354517,0.3355753,0.32342708,0.3068426,0.28639093,0.2636133,0.24127561,0.22337635,0.21426618,0.21650422,0.22905923,0.24709284,0.26474538,0.27792823,0.28544965,0.2866665,0.2798386,0.2627643,0.23595798,0.20404118,0.1745116,0.15489571,0.15090923,0.16525732,0.19636811,0.23690867,0.27455613,0.29577756,0.2926642,0.26695082,0.2296197,0.19330865,0.1661058,0.14839531,0.13709658,0.1297272,0.12712245,0.13165669,0.14465667,0.16446424,0.18679775,0.2066896,0.22022492,0.2254402,0.22234674,0.21270888,0.19943298,0.18527324,0.1722519,0.161847,0.15625519,0.15767074,0.16625564,0.17774607,0.184924,0.18184513,0.16820855,0.14938937,0.1327938,0.12336167,0.12087863,0.12056356,0.11557146,0.101744376,0.0799817,0.056059137,0.03600479,0.022934245,0.015930811,0.01250007,0.010437994,0.008851107,0.00756094,0.006613868,0.005915351,0.005333816,0.0047864034,0.0042907023,0.0038730626,0.0035103532,0.0031454768,0.0027476365,0.0023379535,0.0019527463,0.0016104556,0.0013009064,0.0010125631,0.00075399317,0.00056022854,0.00047024267,0.0004936918,0.00059713965,0.0007231764,0.00083158043,0.0009219249,0.0010261253,0.0011746151,0.0013696011,0.001576359,0.0017499087,0.0018788079,0.0020066581,0.0022241294,0.0025888213,0.0030994455,0.0036428168,0.0040848353,0.0042898953,0.0042409357,0.003991069,0.0036634495,0.0033464052,0.003109372,0.002986632,0.0029835503,0.0030423403,0.003054849,0.0029476148,0.0027337929,0.0025197302,0.0024110717]