[0.31405604,0.31619453,0.3178126,0.31341794,0.30406848,0.29378515,0.28638813,0.2811811,0.27646443,0.271042,0.2650213,0.2590151,0.253917,0.25059274,0.24932824,0.249547,0.25025013,0.25048804,0.24988955,0.24848062,0.2465835,0.24390675,0.24028079,0.23639625,0.23495226,0.23810093,0.24514072,0.25216988,0.25625658,0.2584848,0.2622142,0.26853478,0.27376583,0.27304554,0.26454863,0.2512941,0.23772644,0.22641023,0.2166888,0.20647217,0.19415165,0.1795067,0.16315363,0.14558633,0.12713303,0.10853749,0.09179136,0.07973162,0.07554617,0.0827057,0.1031968,0.1355739,0.17212367,0.20328277,0.22225116,0.23001273,0.23129833,0.2306466,0.22897172,0.22619098,0.22273684,0.22035994,0.21987613,0.22107022,0.2225941,0.22346987,0.2227698,0.22010887,0.21540232,0.20938778,0.2027724,0.19590737,0.18825944,0.17980085,0.17170024,0.16615532,0.16459672,0.16641851,0.170759,0.17758907,0.18847667,0.20290987,0.2182588,0.23029642,0.23729579,0.24003036,0.24105322,0.24218683,0.24407859,0.24630387,0.24819668,0.24948756,0.25001714,0.24886166,0.24284606,0.22770993,0.20172316,0.16996354,0.14427765,0.1359033,0.14829786,0.1731634,0.19784671,0.211725,0.21277666,0.20456827,0.19371629,0.18488717,0.18011664,0.17855519,0.17870219,0.1795768,0.18139778,0.18471235,0.18957128,0.19497804,0.19925247,0.20114446,0.20115262,0.20120329,0.20344359,0.20774746,0.2125379,0.21552165,0.21616049,0.2147487,0.21222152,0.20935531,0.20709114,0.20687546,0.20959091,0.21552104,0.22301817,0.2301286,0.23428655,0.23389949,0.22776131,0.21738374,0.20714788,0.20294197,0.20696752,0.21528983,0.22054458,0.21753275,0.20625137,0.18963331,0.1706363,0.15045953,0.12956628,0.10809976,0.08674916,0.066559605,0.049206425,0.035979975,0.027432678,0.022909231,0.021267436,0.021218726,0.021819107,0.022468327,0.022938518,0.023190161,0.023205454,0.022946903,0.022453455,0.021911742,0.021629542,0.021901816,0.02294452,0.024739562,0.02695223,0.028893515,0.029776582,0.029056758,0.026730819,0.02437711,0.026013158,0.03873678,0.06822351,0.11409947,0.16549633,0.20739931,0.22792798,0.22655304,0.21144666,0.19497406,0.18677358,0.19106759,0.20633698,0.22695921,0.24689399,0.26118314,0.26798975,0.26711342,0.26029357,0.24950947,0.23801458,0.22909449,0.22586222,0.2279317,0.23172869,0.230448,0.2192383,0.19604807,0.16466106,0.13130791,0.104877144,0.092632644,0.0988121,0.121302985,0.15261693,0.1838954,0.2091331,0.22706838,0.23848383,0.24427962,0.24444602,0.23972952,0.2319671,0.22428733,0.21900465,0.21726222,0.21806622,0.22001557,0.22162522,0.22253011,0.22278804,0.22261958,0.22173746,0.21970944,0.21656714,0.21323757,0.21075489,0.20897515,0.20612358,0.20076282,0.19438308,0.19150694,0.19622941,0.20801897,0.22201377,0.23246855,0.23702584,0.23643434,0.23293634,0.22800376,0.22305398,0.21941222,0.21857996,0.22047324,0.22390349,0.22641541,0.22551829,0.21782649,0.20132448,0.1775345,0.15460433,0.14242129,0.14710127,0.16454452,0.185317,0.19963403,0.20441411,0.20126893,0.19499302,0.18970275,0.18860523,0.19284378,0.20142467,0.2112659,0.21878643,0.22218014,0.22191264,0.21966672,0.2164514,0.2131068,0.21167363,0.21505927,0.22482753,0.23860987,0.25197002,0.26130423,0.2665328,0.26941517,0.27109912,0.27100378,0.26824352,0.26372007,0.26015386,0.26032147,0.2648616,0.27175125,0.27791348,0.2812179,0.28180507,0.28128004,0.28133962,0.28168997,0.28027454,0.27427673,0.26390174,0.25281566,0.24709237,0.2496302,0.2583349,0.2671846,0.2718332,0.27256778,0.2732772,0.27750286,0.28560826,0.29577354,0.30571735,0.31435597,0.32104602,0.32564047,0.32798,0.32837215,0.32711288,0.324805,0.3220057,0.3192005,0.31631872,0.31336376,0.3109473,0.31024525,0.31166872,0.3139744,0.31495193,0.31282124,0.3071531,0.2983789,0.28764236,0.276688,0.2679896,0.2635061,0.26322025,0.2645084,0.26352394,0.25775668,0.24727328,0.23431003,0.22139776,0.21089935,0.20482135,0.20513923,0.21275751,0.22704114,0.24576004,0.2664616,0.28698114,0.3058586,0.3212168,0.3317956,0.33676887,0.33709565,0.33387756,0.32868764,0.32195804,0.31325424,0.30033413,0.28150776,0.2569858,0.2307929,0.20814967,0.19376022,0.18869533,0.19110282,0.19701934,0.20316386,0.20780653,0.21050882,0.21100698,0.2101086,0.21069795,0.21822488,0.23550129,0.26042166,0.2844397,0.3004116,0.30474702,0.29910085,0.28486776,0.263816,0.23895268,0.21612926,0.20074296,0.19454004,0.19499792,0.19800372,0.20033912,0.20067936,0.19919431,0.19703119,0.19583629,0.19727951,0.20250624,0.21148957,0.22231925,0.23130049,0.23434804,0.22928075,0.21744628,0.20299415,0.1905001,0.18214889,0.177293,0.1739978,0.17131187,0.16953081,0.1688817,0.1686865,0.16942728,0.17462492,0.19062716,0.21937115,0.2553282,0.28570428,0.30232343,0.30501,0.30154678,0.2972695,0.29326713,0.28675535,0.27609053,0.2613832,0.24477965,0.22903852,0.2164128,0.20683332,0.19801609,0.18731551,0.17438827,0.16199236,0.15464711,0.15637796,0.1688873,0.19004028,0.21387728,0.2323307,0.24011211,0.237493,0.2303602,0.22496314,0.22451375,0.22808413,0.2338747,0.2410046,0.24964337,0.25904182,0.26755866,0.27340186,0.27623442,0.27644375,0.2751238,0.2729733,0.27067757,0.26754752,0.26201725,0.25179625,0.2361567,0.21599714,0.19401197,0.17276643,0.15452325,0.14013581,0.12954284,0.12145799,0.114787735,0.109035105,0.10469098,0.1022121,0.1015712,0.10215614,0.103093706,0.10354269,0.102882646,0.10111961,0.098752566,0.09635982,0.09400097,0.09150115,0.089368165,0.08983383,0.096891016,0.11463895,0.14434122,0.18257283,0.22219439,0.25647005,0.28170618,0.29747018,0.30410513,0.30239484,0.2946367,0.2847414,0.27630615,0.2696257,0.26316702,0.25535086,0.24670333,0.23743035,0.22702384,0.2149847,0.20424588,0.2004626,0.2085099,0.22750807,0.25129458,0.27266762,0.28810033,0.29785147,0.30331638,0.30472043,0.3018074,0.29450023,0.2847377,0.2745491,0.26713964,0.26326597,0.26337096,0.26486027,0.26657555,0.26751444,0.2699963,0.27575576,0.28567246,0.29746222,0.30821726,0.31568635,0.31904995,0.3182176,0.3128967,0.3038368,0.29270852,0.2824506,0.27481258,0.26992968,0.26619917,0.26215425,0.25732127,0.2519916,0.24640878,0.24023558,0.23312457,0.22537881,0.21775435,0.21083532,0.20419483,0.19743384,0.1905785,0.18445762,0.17914301,0.17424035,0.16920944,0.16489033,0.16215555,0.16142873,0.16131912,0.16048111,0.15767753,0.15313601,0.14741218,0.14193483,0.13781291,0.13568395,0.13498528,0.13456303,0.13363849,0.13191117,0.12991188,0.12831485,0.12966831,0.13761069,0.15604462,0.18404953,0.21511407,0.23906894,0.24956803,0.24708706,0.23759693,0.22670877,0.21718048,0.21013723,0.20779169,0.21302694,0.22641896,0.24391,0.25865707,0.26494852,0.2617036,0.25258318,0.24411763,0.24294221,0.25257912,0.2716497,0.2940106,0.312456,0.3226376,0.32461968,0.32177415,0.3177041,0.3153015,0.3151249,0.31617668,0.3156207,0.3112539,0.30199108,0.28837493,0.27110747,0.25178802,0.23357958,0.22158696,0.22058415,0.23200314,0.25292525,0.27678028,0.29717472,0.30967674,0.31363112,0.31018233,0.30107602,0.28714034,0.26926023,0.24955086,0.23157282,0.21865344,0.21216768,0.21125396,0.2141817,0.21908253,0.22446835,0.22892137,0.23169751,0.23251684,0.23128338,0.22735888,0.21974224,0.20850433,0.19578905,0.18544154,0.18057863,0.18220194,0.18982875,0.20224935,0.2175541,0.2316628,0.24028896,0.2406253,0.23332566,0.22050005,0.20457576,0.18746726,0.17098176,0.1566956,0.14525521,0.13644211,0.12915133,0.12243316,0.11558155,0.10863023,0.102452226,0.099627666,0.10466689,0.121048234,0.14822473,0.17904049,0.20472287,0.21871261,0.2215208,0.21817118,0.21661639,0.22397196,0.24384753,0.27446273,0.30816844,0.33667374,0.35437712,0.36183277,0.36239293,0.3601077,0.35649347,0.35104486,0.34201017,0.32891166,0.31341493,0.29872096,0.2871687,0.2793335,0.2744405,0.2719444,0.27128187,0.27188462,0.27234188,0.27192464,0.27048457,0.26939,0.26983476,0.2725897,0.27716872,0.28264165,0.28816473,0.29308426,0.29699072,0.29950652,0.30051234,0.30004355,0.29788867,0.29386625,0.2877787,0.28026167,0.27247348,0.2663876,0.2636433,0.26474544,0.26771688,0.2695378,0.26803288,0.26389685,0.2591871,0.25541067,0.2525572,0.25028616,0.24911964,0.24999039,0.25334287,0.25787437,0.2605057,0.25697377,0.24457484,0.22439045,0.20206638,0.18484302,0.1784234,0.18390469,0.19795185,0.21407609,0.22659941,0.23263584,0.23246162,0.22704662,0.21721087,0.20392953,0.18909061,0.17503357,0.16358112,0.15570897,0.15141684,0.14980496,0.14943005,0.14950979,0.15108298,0.15689802,0.16916765,0.18735617,0.20759763,0.2253512,0.23790626,0.24552989,0.24983382,0.25233665,0.25353956,0.25334778,0.25142616,0.24791527,0.24347788,0.23911636,0.23536058,0.23190393,0.22774756,0.22158109,0.2127126,0.20139892,0.18918206,0.17761542,0.16747932,0.15843295,0.14992057,0.14187028,0.13521886,0.13211896,0.13595603,0.14874832,0.16916108,0.19112097,0.20841105,0.21759166,0.22011632,0.21858032,0.21485834,0.20911242,0.20184405,0.19462304,0.18955022,0.18757163,0.18777727,0.18851429,0.18871038,0.18844835,0.18796869,0.18763451,0.18795007,0.18971318,0.19296806,0.19658501,0.19954507,0.20190597,0.20507874,0.20949952,0.21411304,0.21654181,0.21540898,0.21116088,0.20591062,0.20201083,0.20075345,0.20172156,0.202821,0.20132919,0.19585331,0.18828015,0.18405497,0.18887536,0.20446594,0.22594677,0.24552548,0.25725496,0.26073754,0.25832728,0.25241804,0.24379802,0.2334413,0.22308278,0.21412939,0.20646381,0.19859396,0.18960388,0.17990176,0.17087485,0.163538,0.15805547,0.15415943,0.15156995,0.15015756,0.14977998,0.15009151,0.15093328,0.15177442,0.15330364,0.1571393,0.16809545,0.18977182,0.2229234,0.26012632,0.29156396,0.30836293,0.31006578,0.30093062,0.28812966,0.27587667,0.2665172,0.25957456,0.2543396,0.24954323,0.24523745,0.2419138,0.24065918,0.2415977,0.24433208,0.24776237,0.2509118,0.25270894,0.25281242,0.251781,0.25100717,0.25124204,0.25159565,0.2503947,0.24696912,0.24323976,0.2412333,0.24107496,0.23898025,0.23119836,0.2159745,0.19574374,0.17382817,0.15376754,0.13830768,0.13113876,0.13499351,0.14924373,0.16774786,0.1818556,0.18517365,0.17644583,0.15870725,0.13647923,0.115043454,0.10011142,0.098707736,0.1164066,0.15351556,0.20094185,0.24401458,0.27058235,0.27885178,0.27530336,0.26855317,0.2631445,0.25989857,0.25761488,0.25562826,0.2539365,0.25315103,0.25351655,0.25452197,0.25501195,0.25378445,0.2507414,0.2475124,0.24725096,0.25229195,0.26174808,0.271227,0.2759097,0.27398232,0.26727542,0.2588797,0.25073117,0.24344938,0.23726813,0.23276643,0.22989434,0.22814588,0.22685038,0.22655787,0.22828263,0.23238921,0.23773004,0.24233885,0.2450703,0.2459457,0.2460093,0.24582817,0.24544875,0.2440847,0.24124213,0.23645759,0.22987233,0.22168188,0.2126363,0.20342712,0.19462948,0.18645988,0.17920208,0.17349632,0.16992874,0.16878043,0.169653,0.17212957,0.17562616,0.17963965,0.18320101,0.18557774,0.1864353,0.18620418,0.1853689,0.18417366,0.18257989,0.18065251,0.17867438,0.17719334,0.17646654,0.17636316,0.17566366,0.17291485,0.16676712,0.15756144,0.14715533,0.13838755,0.13293856,0.13036643,0.12868774,0.12623203,0.12249536,0.117288165,0.10992285,0.09977391,0.08773014,0.07604474,0.06656367,0.058965456,0.05135366,0.042354766,0.03262416,0.024226481,0.018813767,0.016537124,0.016330706,0.017028963,0.017946722,0.01883828,0.019413793,0.019257829,0.018009616,0.015759112,0.013057698,0.010705543,0.009336758,0.00919816,0.010090728,0.011454284,0.012579854,0.012855716,0.012082868,0.010546287,0.008860729,0.0075777634,0.006890617,0.006627274,0.006484481,0.0063175694,0.0061900415,0.0062781083,0.006688801,0.0074290284,0.008403516,0.009476812,0.010477272,0.011258199,0.011718306,0.011810449,0.011495449,0.010736488,0.010059904,0.012143817,0.023034692,0.05070724,0.0984213,0.15969472,0.21860807,0.2607535,0.28109565,0.28620672,0.2855059,0.2852631,0.28615654,0.28669533,0.28604424,0.28483054,0.28440666,0.28475288,0.28405663,0.2792748,0.2690172,0.2568018,0.25256398,0.27042976,0.31860647,0.38933507,0.45694792,0.4937303,0.48972788,0.45865723,0.4238056,0.39896634,0.383441,0.36972234,0.35275236,0.33221757,0.3110592,0.2948562,0.29104424,0.30463755,0.33344254,0.36577532,0.38740608,0.3888699,0.3712254,0.3418884,0.3097572,0.27992466,0.25388297,0.22985369,0.20551254,0.17989993,0.1560226,0.13986927,0.1368245,0.14687413,0.1638763,0.18014705,0.19277062,0.20437498,0.21890254,0.23572482,0.25106582,0.2609551,0.26477528,0.26264697,0.25483203,0.2416716,0.2266745,0.21447833,0.20811456,0.20508786,0.2012189,0.19402705,0.18551682,0.17749919,0.16997762,0.16163258,0.15411365,0.1500743,0.15039028,0.1519074,0.15297498,0.15624185,0.16789253,0.19013095,0.21849944,0.24396051,0.25971818,0.26456305,0.26215157,0.25731504,0.2530513,0.25004214,0.24755825,0.24515621,0.24282491,0.2410063,0.23999982,0.24017213,0.2425916,0.25102448,0.27332854,0.3175409,0.3809991,0.44320107,0.47371903,0.4556285,0.39959338,0.3363731,0.2914898,0.27097666,0.2649299,0.26194146,0.25669935,0.24865593,0.23902524,0.22985567,0.22619404,0.23344833,0.25299233,0.27751938,0.2945805,0.29531148,0.28050163,0.25918868,0.23956658,0.22504298,0.21391402,0.2050115,0.19848,0.19593479,0.19817579,0.20480926,0.2140532,0.22331345,0.23071326,0.235758,0.23954904,0.2429844,0.24615353,0.24781781,0.24669169,0.24212448,0.23462401,0.22563267,0.21681875,0.21013765,0.2068215,0.20725155,0.20978725,0.21210663,0.21223979,0.21011937,0.2066968,0.20288478,0.19873647,0.19365121,0.18651949,0.17561392,0.16015361,0.14234324,0.12875871,0.12635192,0.13770206,0.1576156,0.17693801,0.18725066,0.18484545,0.17005122,0.14700024,0.12303102,0.10823024,0.110114254,0.12892736,0.1546429,0.17373967,0.17584752,0.16051407,0.13508934,0.1140439,0.11509382,0.15507244,0.23603038,0.33700967,0.41855824,0.44925812,0.42587936,0.3738545,0.32398105,0.2929523,0.28034374,0.27784023,0.27887082,0.27944198,0.27838036,0.275003,0.27126208,0.26917484,0.27057752,0.27270114,0.27057385,0.2575009,0.23105693,0.1927282,0.14947563,0.108828954,0.076920204,0.05495693,0.04145051,0.035000384,0.03773372,0.053248137,0.08175627,0.11572134,0.1429667,0.1541185,0.14852671,0.13207172,0.112136506,0.09465156,0.086221196,0.09281453,0.11658925,0.15066674,0.18341736,0.20403993,0.20994668,0.20470338,0.19505823,0.18555401,0.17865147,0.17476638,0.17447148,0.17744066,0.18309796,0.18918271,0.19319688,0.19202544,0.18508099,0.17478074,0.167756,0.16918951,0.1804645,0.19587405,0.20946367,0.21716702,0.22086595,0.22298811,0.22550225,0.22712098,0.22543663,0.21748906,0.20206366,0.18162145,0.1628477,0.15381193,0.1583942,0.17339496,0.19316302,0.21812333,0.2589223,0.32337758,0.40237045,0.46510395,0.4837562,0.45392787,0.4007257,0.35393488,0.32920086,0.3221837,0.32180777,0.3200537,0.31490847,0.30706057,0.29783472,0.28990293,0.28659165,0.29022992,0.29864058,0.30660403,0.30832127,0.30103174,0.2850479,0.2628853,0.2383269,0.2147948,0.19460745,0.17767604,0.16326022,0.15093692,0.14205919,0.13755341,0.13685136,0.13703017,0.1366589,0.13665427,0.14027254,0.14832813,0.1593141,0.17019887,0.17945819,0.18625952,0.18955468,0.18796457,0.18064578,0.16814257,0.15153755,0.1318774,0.10995096,0.08717141,0.066378735,0.05083692,0.04251496,0.040365275,0.0413921,0.04233496,0.041498218,0.040109098,0.043452855,0.0613396,0.10190491,0.16504654,0.23697825,0.29935324,0.33892688,0.3560057,0.3579583,0.3527913,0.34418476,0.3341032,0.32467413,0.31780985,0.31402627,0.31181875,0.3095306,0.306025,0.30072746,0.29557315,0.29621908,0.31462264,0.35605428,0.41196296,0.45380506,0.45850936,0.42245182,0.3688313,0.32176316,0.29297248,0.27730665,0.267061,0.2582675,0.25081608,0.24539356,0.2428657,0.24718551,0.26241502,0.2894504,0.3210344,0.34580708,0.3536898,0.3408023,0.3086879,0.26176965,0.20690735,0.15218984,0.10579715,0.07218761,0.05243486,0.04568532,0.05298078,0.07517577,0.11065522,0.15129898,0.18757959,0.21225344,0.22561772,0.2311248,0.23322283,0.23397982,0.23524834,0.23854579,0.24501224,0.2536138,0.26164487,0.2662336,0.26637414,0.2626302,0.25558877,0.24469662,0.22948772,0.21164268,0.19508462,0.18295853,0.17454721,0.16534519,0.15124045,0.13252468,0.11481043,0.10584504,0.110737346,0.12860309,0.15226711,0.17243333,0.18287264,0.1836109,0.17885488,0.17291683,0.16780086,0.16424309,0.16349299,0.16708815,0.17518847,0.18568122,0.19544315,0.20191227,0.2041397,0.20453636,0.21120943,0.2384458,0.2964315,0.37867978,0.4560574,0.49572995,0.48398793,0.4375033,0.38502705,0.34648407,0.32368824,0.31006467,0.30008912,0.29181635,0.28482512,0.27911237,0.2765787,0.27934375,0.28790832,0.29916587,0.30853295,0.3124138,0.3090435,0.29766443,0.27712914,0.24805321,0.21449293,0.1849931,0.1677595,0.16614556,0.17611189,0.1900255,0.20036966,0.20223898,0.1930639,0.17387128,0.14956748,0.12702243,0.11147674,0.10515887,0.11009431,0.12797393,0.15775345,0.19012888,0.21166529,0.21129034,0.18891686,0.15305832,0.116069086,0.087508984,0.072987564,0.0743784,0.08979827,0.11399913,0.1392508,0.15997298,0.17456156,0.18542589,0.1949545,0.20445184,0.21407084,0.22356392,0.23111194,0.23372538,0.22909681,0.2180298,0.203696,0.18970735,0.17776614,0.16778857,0.15862732,0.14989544,0.14185274,0.13460489,0.12651569,0.11570313,0.10191535,0.08757398,0.07691944,0.07716607,0.10074655,0.15979542,0.2525806,0.35276362,0.42166284,0.43488026,0.4007497,0.3492594,0.30764043,0.28441378,0.2745726,0.27033713,0.2684388,0.26816985,0.27022624,0.2750086,0.28413406,0.29824027,0.31538233,0.32889667,0.33097014,0.31774724,0.2926493,0.26411906,0.23975253,0.2232951,0.21378171,0.20860936,0.20429575,0.19866532,0.19124675,0.1841803,0.18048362,0.18111427,0.18394943,0.18470155,0.18030334,0.1695904,0.15428282,0.13863192,0.12982649,0.13503833,0.15695113,0.19047362,0.22481911,0.2499351,0.26191103,0.26291943,0.2572362,0.24737561,0.23517686,0.22230583,0.21112405,0.20136939,0.19236702,0.18413168,0.17977317,0.18106665,0.18631358,0.1905923,0.19034858,0.18479699,0.17486763,0.16071698,0.14266674,0.1217727,0.100635566,0.081540056,0.06598226,0.054201707,0.04574223,0.03977579,0.035350274,0.031944294,0.030204533,0.032640263,0.04361484,0.0670225,0.10597732,0.16224581,0.23796672,0.327544,0.4136078,0.4677197,0.47171807,0.43026912,0.3704039,0.31873116,0.2874489,0.2730514,0.26769722,0.266085,0.26602557,0.2664145,0.2668458,0.26926336,0.27670348,0.29065776,0.3073026,0.31907716,0.3178831,0.30008805,0.2674831,0.22690465,0.18701236,0.1554856,0.1360007,0.12775703,0.12646095,0.12724431,0.1260729,0.12064766,0.1102178,0.09734451,0.0883126,0.090528525,0.10652136,0.13060479,0.15264878,0.16555904,0.16957647,0.16946019,0.16914411,0.1692469,0.16851135,0.16657259,0.16453545,0.16407898,0.16551895,0.16779001,0.16903083,0.1680417,0.16390856,0.15555763,0.14147374,0.121828936,0.10058957,0.08646781,0.08899931,0.113004066,0.15302555,0.19543761,0.22503571,0.23462915,0.2272257,0.21263011,0.19948655,0.19138293,0.18689688,0.18296309,0.17744578,0.1696843,0.15982853,0.14771616,0.13306938,0.11579105,0.09702567,0.08246655,0.08460038,0.121671736,0.20087297,0.30683312,0.39912686,0.4430029,0.42947063,0.38275996,0.33257508,0.297763,0.27898148,0.27075037,0.2667639,0.26300547,0.25734037,0.2507597,0.24724792,0.25070545,0.26206017,0.2779844,0.29216185,0.29745746,0.28761196,0.26001638,0.21685289,0.16542725,0.11496127,0.073227935,0.04422162,0.028344706,0.024206659,0.029084682,0.038691964,0.04696116,0.04867138,0.042499494,0.031618018,0.020893654,0.013325314,0.009185894,0.007152874,0.006023967,0.0051546986,0.0043561594,0.0036219915,0.0030161338,0.002621212,0.0024379094,0.002409728,0.0024524804,0.0025458422,0.0027140286,0.0029717414,0.0032778047,0.0035509493,0.003729323,0.003779554,0.003701128,0.0043202136,0.0076919347,0.017246408,0.03375138,0.05335744,0.06686908,0.067659065,0.055479348,0.03780289,0.022177944,0.013087804,0.011476698,0.018980486,0.037606075,0.06720239,0.102066435,0.13344452,0.15439962,0.16415758,0.16650839,0.16858697,0.18031253,0.21614476,0.28382143,0.37397256,0.45378432,0.4907223,0.4727411,0.4192791,0.3595595,0.31486678,0.2890878,0.27726313,0.2723813,0.2690852,0.26394773,0.25664306,0.25116423,0.25428793,0.26999363,0.2942651,0.31519797,0.32067907,0.30607247,0.27632147,0.24178304,0.21215199,0.19313528,0.18495852,0.1843589,0.18692093,0.189851,0.1924622,0.19499885,0.19763666,0.19967298,0.20065953,0.2003241,0.19910263,0.19715299,0.1947595,0.19204651,0.18911521,0.18502669,0.17812467,0.16706999,0.1530498,0.13947879,0.13032821,0.12727486,0.12945242,0.1345088,0.14032815,0.1457072,0.150213,0.15407152,0.15754078,0.1607245,0.16305484,0.16412656,0.16416055,0.16473275,0.16669305,0.16923161,0.1690384,0.16407545,0.15487336,0.14516012,0.13805531,0.13465418,0.13338627,0.13184284,0.12792104,0.121003,0.11212629,0.10352108,0.09674271,0.09137982,0.084946156,0.07781828,0.07783619,0.10203427,0.16287254,0.2540951,0.34424922,0.3987495,0.40323058,0.37355492,0.33682147,0.3108085,0.29735497,0.29040575,0.28561732,0.28064534,0.2746677,0.26650867,0.25822175,0.2537279,0.25745633,0.2684364,0.2805365,0.28431907,0.27376986,0.24834312,0.21396466,0.17899148,0.15131195,0.13449964,0.12797469,0.12852548,0.13319822,0.14014335,0.14761882,0.15350848,0.15555082,0.15365978,0.14968652,0.14673392,0.14636451,0.1484694,0.151558,0.1542905,0.15574007,0.1555623,0.15379529,0.1508966,0.14741234,0.14375298,0.13991933,0.13583332,0.13152616,0.1273528,0.12375479,0.12114882,0.11985082,0.119990855,0.12139087,0.12355032,0.12639624,0.13075222,0.13813603,0.1483948,0.15851967,0.16332223,0.1597236,0.14899503,0.13598351,0.1250232,0.11772222,0.113510996,0.11143743,0.11096067,0.11142936,0.11208046,0.112194814,0.1112734,0.108349115,0.10197463,0.09119233,0.07690723,0.06197078,0.04953557,0.041254986,0.036697656,0.034271974,0.032472175,0.030445753,0.028021626,0.025304236,0.022553777,0.019956117,0.017683953,0.015806997,0.014349724,0.013282095,0.01259308,0.012289546,0.012363584,0.012675356,0.013001216,0.013081886,0.012830676,0.012287572,0.011622023,0.01093278,0.0102778515,0.009617522,0.008942116,0.008242358,0.0075801965,0.0070345397,0.006707612,0.006665902,0.0069009084,0.007333491,0.007809034,0.008180275,0.008304096,0.008134921,0.0077058855,0.007167865,0.0066851974,0.006390317,0.0063193166,0.0064764065,0.006875206,0.007576198,0.008636347,0.010083773,0.011900436,0.01401481,0.016259054,0.018308446,0.019719116,0.020029468,0.018971605,0.016684635,0.01534408,0.020156411,0.039703213,0.07891631,0.13417776,0.19015759,0.23147394,0.2507036,0.25391534,0.2510364,0.24947834,0.24983521,0.25008485,0.24832909,0.2448227,0.24088825,0.2380604,0.23669498,0.23608674,0.2349403,0.23327847,0.23547971,0.25175774,0.29619357,0.37301293,0.46704134,0.5411647,0.5625916,0.5228131,0.44816318,0.37435874,0.3263066,0.30562416,0.3030493,0.30780748,0.31428623,0.31963938,0.32362285,0.3267846,0.33004615,0.33300972,0.3347492,0.33441553,0.33202267,0.32784578,0.322844,0.31777468,0.31335583,0.3087834,0.30337062,0.29815152,0.29748926,0.30784193,0.3315232,0.36345375,0.3902395,0.40046358,0.39104757,0.37018383,0.3488014,0.33417544,0.3269395,0.3245388,0.3236371,0.32211435,0.3182161,0.31228685,0.30552414,0.30054376,0.29817572,0.2978364,0.29734233,0.29499742,0.290206,0.28335717,0.27547634,0.26765913,0.26100874,0.25628054,0.2531908,0.2511367,0.24949437,0.24974,0.2528337,0.25881135,0.26415768,0.26668218,0.26576617,0.26350605,0.26006234,0.2549238,0.24889046,0.24626201,0.25172302,0.26598546,0.2849268,0.302435,0.31437135,0.3198705,0.32051632,0.32081136,0.3287119,0.35683897,0.41271934,0.48911843,0.5563024,0.5799263,0.5429344,0.46241412,0.37489876,0.3130626,0.2869972,0.28779092,0.29950014,0.310709,0.317346,0.32045516,0.32238263,0.32411447,0.32620963,0.32867917,0.33202347,0.33501804,0.3367115,0.336941,0.33801055,0.34163168,0.34714735,0.35091117,0.34978613,0.34359667,0.33617702,0.33220506,0.33459982,0.34234428,0.3522326,0.36048245,0.3647295,0.36408734,0.35962304,0.35339165,0.34718797,0.3409182,0.3334426,0.32470214,0.3162957,0.31007215,0.30527067,0.29974976,0.29192352,0.28330827,0.2762998,0.27186617,0.26824054,0.26346684,0.25737554,0.25173908,0.24770926,0.24509615,0.24350418,0.24438702,0.25007054,0.2600347,0.2696649,0.2721622,0.26502427,0.25062004,0.23528539,0.22317666,0.21696931,0.2169295,0.22380078,0.23539841,0.24779744,0.25456378,0.25230572,0.24125628,0.22655942,0.21401282,0.20931144,0.21835548,0.2505257,0.3133561,0.4028183,0.49353793,0.55114007,0.5527821,0.505909,0.43830177,0.3787097,0.33934912,0.31819355,0.30812111,0.30450037,0.30588832,0.31059435,0.31603035,0.31811795,0.31515837,0.3075653,0.29931903,0.29393467,0.29409853,0.2995142,0.3088161,0.31923214,0.32807767,0.33321118,0.3345267,0.334424,0.33626756,0.34303954,0.35363415,0.36463693,0.37043664,0.36954784,0.36265936,0.35370013,0.344546,0.33671758,0.3298843,0.32370278,0.3174523,0.31113067,0.3057504,0.30218312,0.30088905,0.3008486,0.30086377,0.2990902,0.29544386,0.2913792,0.29035696,0.29382372,0.30041525,0.30617884,0.308772,0.3083396,0.30724704,0.3072145,0.3094059,0.3132175,0.31782615,0.32101288,0.32201493,0.32056454,0.3177136,0.31306574,0.3057247,0.29606712,0.28748503,0.2855632,0.29284337,0.30737624,0.32245758,0.3331379,0.3372734,0.33680305,0.33432922,0.3355455,0.35016823,0.38871047,0.45057073,0.51538134,0.55102915,0.5364967,0.47958338,0.4112203,0.36202884,0.3432277,0.3468008,0.35817537,0.36795023,0.3732014,0.37469754,0.37275591,0.3675036,0.35905388,0.3488849,0.3390424,0.33136943,0.32645643,0.32391798,0.3231013,0.32330564,0.32396618,0.32436785,0.32424545,0.32422623,0.32641387,0.333997,0.34731403,0.36200604,0.3696061,0.3658763,0.35394135,0.3421267,0.33567557,0.33410528,0.3342853,0.33455774,0.3350551,0.33586755,0.33603486,0.33531132,0.3342513,0.3341451,0.334969,0.3357388,0.33557904,0.3345051,0.33350036,0.33257154,0.3314382,0.32959613,0.32795796,0.32769382,0.32933435,0.33249402,0.3363985,0.34072557,0.3445665,0.3467208,0.3460683,0.3429495,0.33873177,0.3348879,0.33201957,0.3300399,0.32864544,0.327987,0.3281783,0.32915828,0.3299984,0.330089,0.32888377,0.3267034,0.32395563,0.32422638,0.33489728,0.3660098,0.41853032,0.4777526,0.5152971,0.5106432,0.46562192,0.4043753,0.35294452,0.32398129,0.31495166,0.31728873,0.3239615,0.33062863,0.3347583,0.33546194,0.33283404,0.32765234,0.31949714,0.309122,0.29796588,0.28936514,0.28445956,0.28260753,0.28111574,0.27911684,0.27781245,0.2796441,0.2864177,0.2988652,0.31776127,0.3417484,0.36633536,0.38357854,0.38838688,0.38110325,0.3675818,0.35248575,0.33798733,0.32371923,0.31139812,0.3032519,0.30104342,0.30274078,0.3053178,0.30629387,0.3058059,0.30407712,0.3009007,0.2957059,0.2896987,0.2849702,0.28281608,0.28211328,0.28093565,0.27849245,0.27557388,0.27310276,0.27117732,0.2703117,0.27191746,0.27645823,0.28112188,0.2804822,0.27201015,0.25836745,0.24613021,0.24007045,0.24173008,0.25087383,0.26646486,0.2862982,0.30536637,0.3192197,0.32589245,0.32725903,0.3257527,0.32303503,0.3218132,0.32884416,0.35569474,0.4076161,0.4749631,0.5275355,0.536117,0.4893496,0.40812933,0.32535896,0.26860818,0.24380238,0.24353372,0.2553881,0.27059838,0.2835,0.29141638,0.2934161,0.29111946,0.28734934,0.28544834,0.2872062,0.29274058,0.30064824,0.30939686,0.317464,0.3240582,0.32855573,0.33134547,0.33281997,0.3344337,0.3376442,0.34295714,0.34715438,0.3446958,0.33235356,0.31342134,0.29547754,0.28429806,0.28038546,0.2805784,0.28121552,0.27965376,0.2748344,0.2681732,0.26271495,0.26073238,0.26126328,0.26136932,0.25945464,0.2571967,0.25769952,0.26177678,0.26684335,0.26947352,0.26859865,0.26582897,0.2627957,0.25973633,0.2570248,0.25710088,0.26439378,0.2804851,0.30247903,0.32258654,0.33469343,0.336292,0.33016494,0.3205941,0.31200156,0.30709168,0.30658612,0.30933055,0.31348026,0.317343,0.31967235,0.3193864,0.31662026,0.3128306,0.31205747,0.32076216,0.34850147,0.39994976,0.4679165,0.5278995,0.5541063,0.5340876,0.48093,0.41847673,0.3686448,0.33821675,0.32531467,0.3228725,0.3259715,0.33029786,0.33430186,0.3374249,0.34008595,0.34174332,0.34071437,0.33679482,0.33146977,0.32861963,0.3294662,0.33326948,0.33613083,0.3362111,0.33272776,0.32763967,0.32269654,0.321182,0.32579827,0.33670434,0.3490065,0.35484913,0.35091922,0.33997378,0.3293828,0.32233396,0.31873178,0.31586063,0.31347063,0.3113729,0.30968758,0.3077154,0.30617425,0.30578345,0.30717933,0.30916622,0.3110079,0.31170103,0.31193626,0.31161872,0.3119191,0.3125721,0.31413558,0.31527916,0.31582355,0.31529722,0.31515148,0.31674707,0.3207729,0.326228,0.33033022,0.33134782,0.32848606,0.32379404,0.31873593,0.3155619,0.31470203,0.3177869,0.32419524,0.3334353,0.3417971,0.34751356,0.34882548,0.3475356,0.3443953,0.34193516,0.34402156,0.36033726,0.39961338,0.46075478,0.52280116,0.55542076,0.5381588,0.47828224,0.40291297,0.34022757,0.3022358,0.2862288,0.28292274,0.28453586,0.286677,0.2882419,0.29063904,0.29488912,0.3006058,0.30496046,0.30630663,0.30424488,0.30052564,0.2967156,0.29403326,0.29249504,0.29085517,0.28757346,0.2823912,0.27827737,0.28061947,0.29423833,0.31790698,0.34374312,0.36054572,0.36341786,0.3554612,0.34556434,0.33932272,0.33747086,0.33674964,0.3345665,0.3299695,0.32404634,0.31834903,0.3143216,0.31203786,0.31083754,0.30989385,0.3092614,0.30970755,0.31141973,0.31366023,0.31443295,0.31280628,0.3089061,0.30484363,0.30217063,0.30180767,0.30299023,0.30507857,0.3075546,0.3099121,0.3105117,0.3075342,0.30083248,0.29290152,0.2866367,0.28288066,0.27997378,0.2764939,0.27263173,0.26936984,0.26633784,0.26221028,0.25639424,0.24976623,0.24307032,0.23741679,0.23746113,0.25533274,0.30415216,0.3841984,0.4709996,0.5249446,0.51796776,0.45523846,0.37100998,0.3012631,0.2626876,0.2501527,0.2519872,0.2598937,0.27146745,0.2849581,0.29828265,0.30884346,0.31572235,0.31834418,0.3169174,0.31201923,0.30594274,0.3011587,0.29879212,0.2977519,0.29654956,0.29478347,0.2929245,0.2913762,0.29076812,0.2930793,0.29949152,0.30836603,0.31414437,0.31276715,0.30404082,0.29197606,0.2802074,0.2711533,0.2660232,0.2656816,0.26925743,0.27452877,0.278985,0.28200722,0.28379986,0.28434753,0.28214666,0.27657387,0.2694259,0.26537442,0.26791683,0.2768499,0.28748706,0.29518256,0.29750836,0.29572073,0.29165784,0.2874045,0.2835525,0.2805377,0.27733752,0.27339593,0.26814583,0.26256943,0.257152,0.25173295,0.2450366,0.23675741,0.22846906,0.22337127,0.22372629,0.2295972,0.23812868,0.24624534,0.251649,0.25413406,0.25473717,0.25790295,0.27352202,0.31488112,0.38570717,0.46856213,0.5262284,0.52791655,0.47193822,0.3897365,0.31953958,0.28246292,0.2753416,0.2835268,0.2947998,0.30361152,0.30948567,0.31281114,0.3140159,0.31263885,0.3083688,0.30187646,0.29525235,0.2911451,0.29059866,0.2927163,0.295084,0.29624656,0.2961034,0.29526508,0.2944539,0.29449904,0.29825285,0.30630252,0.3152372,0.3165392,0.30604538,0.2881274,0.2730905,0.26742902,0.2691568,0.27255598,0.27377036,0.27354118,0.27378365,0.27542758,0.27752706,0.27872893,0.27823317,0.276049,0.27241728,0.2675664,0.26184312,0.2563244,0.2524786,0.25156838,0.25357202,0.25711262,0.26017737,0.26147345,0.26191044,0.26422343,0.271248,0.28269675,0.29447734,0.30091202,0.29919112,0.29146084,0.28296646,0.2778708,0.2771123,0.2789458,0.28157532,0.28369164,0.28520826,0.286069,0.28669944,0.28684,0.28591242,0.28356624,0.28265226,0.2911988,0.3210784,0.37672964,0.44629583,0.49982738,0.5109759,0.47329116,0.40774766,0.34238017,0.2968844,0.27376935,0.26649895,0.26683995,0.26936808,0.27187988,0.2742348,0.2770449,0.27989203,0.2806996,0.2775263,0.2703497,0.26172718,0.25464585,0.25038442,0.24848942,0.24749692,0.24696182,0.24623467,0.24567302,0.24607508,0.25142837,0.26538065,0.28761998,0.31017968,0.32317844,0.322667,0.31344518,0.30349275,0.29707906,0.29410157,0.29283652,0.29236248,0.29193392,0.29120827,0.28990564,0.28833115,0.28592634,0.28223017,0.27705604,0.27165115,0.26796183,0.26760843,0.27117908,0.2771581,0.2834164,0.28771055,0.28987148,0.29020634,0.28975275,0.28849337,0.28754643,0.28689536,0.2865667,0.2837359,0.2775228,0.26811323,0.25930294,0.25292137,0.24987823,0.24872573,0.24979384,0.25283206,0.25747952,0.2608045,0.2612789,0.25902024,0.25708708,0.25682354,0.25701755,0.2535195,0.2443365,0.23039354,0.21581881,0.20295472,0.19330281,0.18702644,0.18541515,0.18723667,0.18812895,0.18208945,0.16734284,0.14990216,0.13966788,0.14364605,0.15902157,0.17652994,0.18548381,0.1811447,0.16401841,0.13974756,0.11601681,0.10177792,0.10222512,0.11634549,0.13599019,0.15238957,0.16028507,0.16032547,0.15483688,0.14635986,0.13713773,0.13046263,0.12895848,0.13229345,0.13734527,0.14062484,0.14097169,0.13905913,0.13633125,0.13406472,0.13340466,0.13514023,0.13885628,0.14364313,0.14832444,0.15272905,0.15643455,0.1589428,0.15891589,0.15575047,0.14958532,0.14153387,0.13193335,0.12007779,0.10470172,0.08598121,0.06624805,0.049216945,0.038676992,0.037212137,0.046396237,0.065121986,0.08975729,0.11345441,0.13050675,0.13816334,0.1386723,0.13553198,0.13129385,0.12544225,0.11600318,0.101483576,0.08306422,0.06501055,0.053300526,0.052617535,0.06336937,0.08358746,0.114392586,0.16657434,0.25008944,0.35851613,0.4572419,0.50667745,0.49082768,0.43248042,0.36949673,0.32751346,0.30859026,0.30316818,0.30245802,0.30251268,0.30245838,0.30331668,0.307848,0.317513,0.33124933,0.34437785,0.35290968,0.35377574,0.34616736,0.32909772,0.30205464,0.26504618,0.2194013,0.16881888,0.119000375,0.07759285,0.050890487,0.04216482,0.048512023,0.06232476,0.0735629,0.07628856,0.07043161,0.060944695,0.052126285,0.045620535,0.04053058,0.035842516,0.03113958,0.026482293,0.022028742,0.017978558,0.0146058425,0.012121685,0.010519824,0.009560711,0.008916291,0.008413386,0.0080883475,0.008076807,0.008392925,0.008848835,0.009111318,0.009016159,0.0099229915,0.01591009,0.033834625,0.068110354,0.11586245,0.16476662,0.2014684,0.21927749,0.2223251,0.21879971,0.21505992,0.2125852,0.21086945,0.2095359,0.20873554,0.20829792,0.20763488,0.20679097,0.20665894,0.20817892,0.21289162,0.22546743,0.25669953,0.3153765,0.39612755,0.47069278,0.50546795,0.48563394,0.42967352,0.37121642,0.3342634,0.32058442,0.31987655,0.32298708,0.32628527,0.3283162,0.32776287,0.32522085,0.32403263,0.3275583,0.33554253,0.34377488,0.34667468,0.34042418,0.32345024,0.29634303,0.26089054,0.22048093,0.17916502,0.1410685,0.109388925,0.086542465,0.07440651,0.072544284,0.07715813,0.08180954,0.08365365,0.08730445,0.10171229,0.13125081,0.16931182,0.20381697,0.22522503,0.23287958,0.2306151,0.22289665,0.21183968,0.19991507,0.19005716,0.18559676,0.18679528,0.19165242,0.19584568,0.19598919,0.18941368,0.17630577,0.1596049,0.14456455,0.13440365,0.1280318,0.122050226,0.11686694,0.11816751,0.13255323,0.16007233,0.19329895,0.22147442,0.23778494,0.24167581,0.2378735,0.2315709,0.22601074,0.22141953,0.21713538,0.21255006,0.2082179,0.20527792,0.20514815,0.20826598,0.21457392,0.2264374,0.2509705,0.29616025,0.35817936,0.41768333,0.4486746,0.44290805,0.41330504,0.3845497,0.36888114,0.36494574,0.3634329,0.35989347,0.35432234,0.34863898,0.34371117,0.34083304,0.34332696,0.35457936,0.37305072,0.39012444,0.394107,0.37904236,0.34757182,0.30875406,0.2708419,0.23977084,0.2183162,0.20773989,0.2068023,0.21250959,0.2213429,0.23024575,0.23731597,0.24097162,0.24096651,0.23769878,0.23262034,0.22660796,0.22024976,0.2135259,0.20662445,0.19980186,0.19379282,0.1895401,0.18783301,0.18820594,0.18901779,0.18853615,0.18648414,0.18416178,0.18278424,0.18239121,0.18155183,0.17906894,0.17416789,0.1663639,0.15426809,0.13662787,0.11503774,0.095853545,0.08857018,0.09869939,0.12310547,0.14973749,0.16638762,0.1665644,0.15235837,0.1295548,0.10534948,0.08664749,0.080593474,0.091014154,0.11507636,0.14204828,0.15907234,0.15798368,0.14003797,0.11465519,0.098109126,0.11042706,0.16920388,0.27282092,0.39234677,0.48024535,0.5050146,0.47088358,0.41298696,0.3647808,0.33964923,0.33176705,0.33117637,0.33155212,0.33021566,0.32628882,0.32088175,0.3174689,0.31965342,0.32786027,0.3382206,0.34507504,0.3440274,0.33264992,0.30863798,0.27050266,0.2200961,0.16485725,0.114424564,0.076285586,0.053616393,0.047653187,0.058439095,0.082434624,0.11015371,0.12943554,0.13312273,0.1228698,0.10588584,0.08874333,0.075958185,0.0730227,0.08568099,0.11520954,0.15282111,0.1847762,0.20090127,0.20186214,0.19495575,0.18748121,0.18174066,0.17789972,0.17638843,0.1792856,0.18634683,0.19468577,0.19913705,0.19678175,0.18777406,0.17574966,0.1661551,0.16579765,0.18067485,0.21244937,0.2550262,0.29612496,0.32380125,0.333622,0.33005843,0.32198957,0.31593454,0.31340462,0.3115964,0.3076456,0.30040208,0.29177734,0.28481492,0.28200075,0.28351888,0.28939378,0.3036902,0.33580482,0.38986647,0.45343542,0.4970313,0.497211,0.45589104,0.40019795,0.35794482,0.33934906,0.33680773,0.3389568,0.33944133,0.33812106,0.3366951,0.33740625,0.34240595,0.3526033,0.36611602,0.376803,0.3786992,0.36846438,0.3470174,0.31623158,0.2781788,0.23672818,0.19762792,0.1665349,0.14495717,0.13125072,0.12338904,0.121402465,0.12511975,0.1315102,0.13524343,0.13378383,0.12951736,0.12756966,0.1296765,0.13384663,0.13680816,0.13812077,0.1387889,0.13935229,0.13845451,0.1344648,0.1267018,0.11548489,0.101442374,0.08526584,0.068386585,0.05307613,0.041699197,0.03527383,0.03294629,0.032579232,0.03207715,0.030645283,0.03035,0.03665082,0.056468327,0.09170737,0.13529108,0.17299797,0.1947245,0.20057048,0.1994171,0.19767898,0.19522005,0.18862338,0.17980427,0.17644341,0.18535726,0.2047681,0.2249213,0.23474659,0.2287466,0.20837887,0.18293309,0.16884136,0.18843932,0.25446182,0.35677043,0.45634273,0.5117822,0.5050059,0.4550924,0.39598763,0.35323867,0.33157098,0.3242863,0.32349563,0.32540795,0.32849374,0.3326905,0.33868146,0.34768748,0.35893926,0.367995,0.36822477,0.3535343,0.322063,0.275452,0.21979529,0.16308486,0.11427299,0.078444906,0.0561014,0.044657085,0.043478306,0.056212198,0.08708751,0.13498358,0.1890157,0.2341479,0.2590525,0.2634418,0.2551544,0.2443595,0.23704569,0.23430519,0.23417778,0.2344758,0.23404218,0.23256017,0.23020633,0.22735405,0.2244771,0.22166908,0.2182552,0.2132165,0.20627713,0.19845064,0.19157459,0.18627726,0.18155392,0.17508383,0.16629581,0.15749049,0.15388773,0.1594946,0.17397334,0.19135004,0.20434804,0.20890145,0.20632099,0.20040782,0.19397163,0.18807083,0.18368118,0.18275513,0.18638992,0.19289197,0.19855629,0.2007057,0.19963539,0.19736475,0.19739419,0.20657502,0.23801,0.30335823,0.4000237,0.501284,0.5699516,0.58209527,0.5445047,0.4851968,0.4322714,0.39823702,0.38159463,0.37547398,0.37442017,0.37438047,0.37217724,0.36493802,0.35282317,0.33808604,0.32424328,0.3125565,0.3024708,0.2912995,0.2757845,0.2532399,0.22486423,0.19669126,0.1769015,0.16960526,0.17269403,0.18005198,0.18726937,0.1922379,0.1938238,0.18954317,0.17811601,0.161318,0.14372562,0.1297399,0.122314446,0.1243754,0.13811581,0.16243874,0.18938136,0.2075768,0.20789129,0.18965001,0.1597193,0.12934496,0.1087771,0.1043576,0.11678108,0.14063136,0.16652805,0.18468589,0.1918096,0.19159915,0.1915549,0.19469328,0.20000154,0.20528682,0.21139967,0.21869831,0.22511512,0.22675543,0.22191267,0.21185815,0.19894598,0.18520845,0.17211945,0.16100062,0.15239158,0.1459253,0.14071406,0.13550575,0.12926544,0.12126256,0.11180621,0.10305371,0.10247753,0.12485664,0.18618004,0.28678867,0.4004475,0.48445883,0.5101406,0.4819729,0.4306527,0.3859942,0.3604691,0.35087362,0.34981385,0.3526007,0.35686326,0.36122718,0.3644654,0.36620712,0.36641237,0.36489305,0.36171746,0.35753968,0.35332617,0.3477832,0.3369077,0.3163623,0.28648138,0.25344992,0.22524337,0.2057571,0.19339758,0.1854309,0.18076706,0.17949016,0.17873569,0.17523389,0.16730194,0.15747279,0.14736015,0.13792896,0.13002138,0.12853242,0.13777472,0.15841687,0.18395446,0.20703126,0.22206867,0.22886015,0.22811736,0.22189367,0.21148072,0.20051868,0.19145079,0.18569253,0.18058236,0.1749266,0.17030507,0.17172371,0.1815076,0.19671042,0.21183848,0.22275215,0.22756787,0.22379756,0.20827758,0.18121791,0.14749841,0.115240656,0.08967092,0.07255244,0.062287867,0.057098735,0.054785263,0.05360819,0.052301627,0.051782433,0.055047985,0.06618163,0.08640155,0.11241565,0.13717233,0.15563451,0.16680418,0.17299724,0.17490466,0.17177665,0.16323361,0.15191902,0.14157344,0.13465638,0.13114516,0.1297713,0.12934291,0.12924182,0.12938917,0.130051,0.13153656,0.13353752,0.13499981,0.13465548,0.13226174,0.12879966,0.12601717,0.12508468,0.12622033,0.1285338,0.13072945,0.1316255,0.13076036,0.12831023,0.12429195,0.117901124,0.10748851,0.09259126,0.07578198,0.06368252,0.06328828,0.07726287,0.100337304,0.12279385,0.13656543,0.14023809,0.13737917,0.13248517,0.12759243,0.12323743,0.11959768,0.11752861,0.11692631,0.116892256,0.11566388,0.11235034,0.106679104,0.09904206,0.089587115,0.07841589,0.06578712,0.053178802,0.04393525,0.043314558,0.055445362,0.08018341,0.1107128,0.1376326,0.1536851,0.15843157,0.15601563,0.15200226,0.14949274,0.14895181,0.14889383,0.1474093,0.14312029,0.1354373,0.12427928,0.109473795,0.091155924,0.070643865,0.05095379,0.035615604,0.026660686,0.023587061,0.024003787,0.025390076,0.026112355,0.025713101,0.02430533,0.022206219,0.019609675,0.016636742,0.013456691,0.010351122,0.007723283,0.0058838646,0.004988022,0.004946181,0.0055091586,0.0063144923,0.0070103104,0.0073790955,0.007399471,0.007202729,0.006915485,0.0065746666,0.006107964,0.0054586385,0.004647058,0.0038191078,0.0031436672,0.0027530848,0.0026404916,0.0027038846,0.002766705,0.0027030238,0.0024411858,0.0020165273,0.0015105208,0.0010716884,0.0008368096,0.00090003153,0.0012368633,0.0017344424,0.002256047,0.00273506,0.0032144943,0.0038455836,0.004851655,0.0064796493,0.008907483,0.012135313,0.015920902,0.019782824,0.023129292,0.025335565,0.025892323,0.024493665,0.02141182,0.018495748,0.020015465,0.03235952,0.05983275,0.100453585,0.14414598,0.17901213,0.19823433,0.20407732,0.20356591,0.20301898,0.20462304,0.20737918,0.20929383,0.20892288,0.20615731,0.20190425,0.19753599,0.19381575,0.1907282,0.18779606,0.1851338,0.18348347,0.18359737,0.18485564,0.18558632,0.18453664,0.18263407,0.18236576,0.18570872,0.19271182,0.20217307,0.2131523,0.22497837,0.23696448,0.24786393,0.2574793,0.26610827,0.2744579,0.28138128,0.2845308,0.2806106,0.26759842,0.24573791,0.21888243,0.19292255,0.17319392,0.16093005,0.15346439,0.14728285,0.14161028,0.13964105,0.14496212,0.15875262,0.17701817,0.19413574,0.20536613,0.21060973,0.21179354,0.2113262,0.20906897,0.20511012,0.20033099,0.19800968,0.20003967,0.2062739,0.21355124,0.21909827,0.22146672,0.2214262,0.22008938,0.21817005,0.2154427,0.2116286,0.20698006,0.20233548,0.19856173,0.19574922,0.19320929,0.1897914,0.18495433,0.17918885,0.17388374,0.17013149,0.1677774,0.16546583,0.16157359,0.15504019,0.14547487,0.1342221,0.12544201,0.1259467,0.14031078,0.16659696,0.1960815,0.21995746,0.23453373,0.2414812,0.24339546,0.24133234,0.23577262,0.22834475,0.22142865,0.21638566,0.21225728,0.20688546,0.19841345,0.1871924,0.17523795,0.16548568,0.16037303,0.16167666,0.16992033,0.18359542,0.1992767,0.21287167,0.22210999,0.22637628,0.22637469,0.22235094,0.21548815,0.2082281,0.20424606,0.20591247,0.21196039,0.21844353,0.22116351,0.21882188,0.21215187,0.20260082,0.19181891,0.18281424,0.1796178,0.184204,0.19395728,0.20304269,0.20604195,0.20105346,0.18871094,0.17082745,0.14910771,0.1257741,0.103709154,0.08564737,0.07316332,0.06577765,0.061930373,0.059771184,0.058278203,0.05699584,0.055882186,0.054899756,0.053933915,0.05286655,0.051448103,0.04952237,0.046932165,0.04394889,0.041729648,0.044176687,0.058419168,0.09237387,0.1455977,0.2050323,0.24791367,0.2591714,0.23938014,0.20494048,0.17294675,0.15518439,0.15544444,0.17240633,0.19932167,0.22483678,0.23951755,0.2400717,0.23217441,0.22352223,0.22118695,0.22959752,0.2556529,0.30735788,0.3848929,0.4710015,0.53290325,0.5457676,0.50955397,0.45124078,0.39983436,0.37068614,0.36042342,0.36031878,0.36292854,0.36602116,0.3687429,0.3717635,0.3745642,0.37666467,0.37650692,0.3743842,0.37161243,0.37033287,0.3709347,0.37267777,0.3745302,0.37630424,0.37798777,0.37922612,0.3800689,0.3815533,0.38570097,0.3922483,0.39897466,0.40215743,0.4017553,0.39912304,0.3963801,0.3924407,0.3866504,0.37879434,0.370322,0.36176202,0.35406986,0.3482615,0.34595,0.3471919,0.35115397,0.3559828,0.36012733,0.36213374,0.36190477,0.3606964,0.36047682,0.36178073,0.36362362,0.36435857,0.36368975,0.36194113,0.36020437,0.35918903,0.36072418,0.36520037,0.37167406,0.37607655,0.37610754,0.37185833,0.36671793,0.36273113,0.35986122,0.3569702,0.35393047,0.3521227,0.35233912,0.35474992,0.35840276,0.362504,0.36582038,0.3674461,0.36918846,0.37726367,0.4014702,0.44357756,0.49071488,0.51533574,0.49795857,0.4412533,0.37213102,0.31848857,0.29351613,0.29243004,0.30423042,0.32022986,0.33592284,0.34934476,0.36007825,0.36894754,0.37677136,0.38293043,0.38596156,0.38518426,0.38208115,0.3791264,0.3779126,0.37809515,0.37822747,0.37721932,0.37501597,0.3732021,0.3749652,0.3846133,0.40308544,0.4247158,0.43750563,0.43321362,0.4138708,0.39147273,0.37583908,0.36897814,0.36590979,0.362896,0.35926613,0.35637155,0.35444117,0.35283872,0.3508427,0.34843323,0.34622583,0.3448573,0.3448285,0.3458178,0.34728935,0.3484377,0.34909013,0.34927663,0.3492212,0.34901765,0.34857512,0.34820542,0.34864017,0.35150015,0.35696724,0.36339244,0.36673725,0.3647741,0.35780975,0.3492883,0.34195527,0.3371202,0.33433226,0.33327028,0.3341361,0.33725563,0.34213182,0.3474251,0.35140046,0.35300004,0.35200688,0.3512399,0.3572261,0.38078514,0.4268973,0.48646507,0.53112674,0.5327359,0.481866,0.39990664,0.32021484,0.26819623,0.24723679,0.24684398,0.25314236,0.2581354,0.26000366,0.26138225,0.26497743,0.27066812,0.27514064,0.2749293,0.27019632,0.2643248,0.26115105,0.2617253,0.2647995,0.26842675,0.2712315,0.27248108,0.27268088,0.2751966,0.2861983,0.31111076,0.3470557,0.38210392,0.4004567,0.39601552,0.3733517,0.34443632,0.3170581,0.29525387,0.27961335,0.2710671,0.26914454,0.27241468,0.27859053,0.28539684,0.29013264,0.29065207,0.28645316,0.27986804,0.27415824,0.27202284,0.27421764,0.28016183,0.28741682,0.29215267,0.2906647,0.28267822,0.27239063,0.26642326,0.26936027,0.280588,0.2945981,0.3040948,0.30468586,0.29637316,0.28290606,0.26850083,0.25660303,0.24962652,0.24908614,0.25553706,0.26758516,0.28260812,0.296996,0.30788636,0.3138396,0.31521106,0.31467307,0.31806603,0.3359532,0.37789917,0.44293597,0.5103381,0.54821485,0.5332731,0.46941757,0.38443983,0.3107697,0.26651597,0.2514601,0.25584722,0.26919404,0.2850006,0.299576,0.31265363,0.32396573,0.33273056,0.33469722,0.3274033,0.3115258,0.29307303,0.2774061,0.26753497,0.26259682,0.26162437,0.2640184,0.26994702,0.27972546,0.29394326,0.31384167,0.33604333,0.3542286,0.3591602,0.3507636,0.3340296,0.3188114,0.30816078,0.30232263,0.29857162,0.2960528,0.29428187,0.29323876,0.2926019,0.29143772,0.2883581,0.28270453,0.2750245,0.2671554,0.26080778,0.2573239,0.2569408,0.2587528,0.26083082,0.2616255,0.26110923,0.26051614,0.26102468,0.2637171,0.27052435,0.2837149,0.30271584,0.32216418,0.3349599,0.33804584,0.33462727,0.33034527,0.3281187,0.326992,0.3248426,0.32077837,0.3148773,0.30704436,0.297158,0.28657362,0.278217,0.27525112,0.27939653,0.29280034,0.32033148,0.36792493,0.4332004,0.4984584,0.5360284,0.5274184,0.47743508,0.4110643,0.35476112,0.32158685,0.30976024,0.3107626,0.31697497,0.32359874,0.3286248,0.3322262,0.33562157,0.33957806,0.3426833,0.34389246,0.34327507,0.34315428,0.3441595,0.34558573,0.3453569,0.34368455,0.34172478,0.34117672,0.34302235,0.34940374,0.36396357,0.387079,0.41243747,0.42690077,0.42235902,0.40155295,0.37773418,0.36186442,0.35701108,0.35866287,0.36171404,0.36285648,0.3615617,0.35849598,0.35553384,0.35344926,0.35205898,0.35012212,0.34759197,0.34517157,0.34397742,0.34427407,0.34580818,0.34783626,0.34930718,0.34919468,0.3468342,0.34284392,0.3386644,0.33652723,0.3376794,0.34162888,0.34584603,0.34732887,0.34478903,0.33874634,0.33142176,0.32476863,0.32082903,0.32047173,0.32379165,0.3292364,0.33481738,0.3386816,0.3403692,0.34031442,0.33943757,0.33826175,0.3394464,0.34946477,0.37918818,0.4331154,0.5009086,0.5535478,0.56294304,0.5197031,0.44341624,0.36545253,0.31055257,0.2847997,0.28119692,0.28873107,0.29867372,0.30686295,0.31250817,0.31717739,0.3213854,0.3241947,0.32393435,0.32057336,0.31580392,0.31167737,0.30940953,0.30869666,0.30800045,0.3052778,0.2998777,0.2942506,0.29396838,0.30535948,0.3303635,0.36248124,0.38833475,0.39584446,0.3835543,0.3601768,0.338039,0.3233397,0.3157972,0.31115544,0.30664334,0.3018084,0.29768527,0.29504046,0.2935948,0.29276574,0.29209486,0.29187796,0.29264617,0.295025,0.2986143,0.30192614,0.3024589,0.29842782,0.2906164,0.2822707,0.27780235,0.27922162,0.28652522,0.29763457,0.31027475,0.32075498,0.32500598,0.32084882,0.31016624,0.2979077,0.28831998,0.2830303,0.2813549,0.28191146,0.28276238,0.2815583,0.27595273,0.26531306,0.25132093,0.2377522,0.22852582,0.22839104,0.2441435,0.28582522,0.35586205,0.43942106,0.5010593,0.50941974,0.45885673,0.37806883,0.30484083,0.26303688,0.2524315,0.26067165,0.27514148,0.2886546,0.29836917,0.30475318,0.30951178,0.31399563,0.31649122,0.31488454,0.30833277,0.29975644,0.2927774,0.2898449,0.29057738,0.29270777,0.29389644,0.29264936,0.289888,0.28882346,0.29499587,0.31234792,0.33756208,0.3593024,0.36382368,0.34804925,0.31994644,0.2943543,0.27905217,0.27512118,0.27791405,0.283901,0.29015505,0.29443455,0.29536554,0.29303136,0.289572,0.2865611,0.28440294,0.28202608,0.27970555,0.2789444,0.2815504,0.2869092,0.2930539,0.29822275,0.30243835,0.30601916,0.3084899,0.3091357,0.30894968,0.3095217,0.311475,0.3118213,0.308519,0.3010277,0.29240713,0.2834451,0.27389377,0.26308867,0.2540483,0.2507585,0.25423938,0.260491,0.26405165,0.26297414,0.259688,0.25721255,0.25824314,0.267055,0.29456782,0.34861863,0.42363223,0.48991904,0.51357883,0.4777522,0.40069535,0.31832266,0.26137012,0.23769452,0.2377866,0.24819899,0.26060173,0.2731396,0.28605366,0.2991504,0.31094053,0.31932175,0.32318267,0.32210135,0.3171116,0.309828,0.30292058,0.29874778,0.2978856,0.2985936,0.29833567,0.29654,0.29604924,0.30137482,0.31625077,0.3377804,0.35759926,0.36391523,0.35297307,0.3292808,0.30425116,0.2854723,0.2758402,0.27323377,0.27485025,0.27768934,0.28023577,0.2820466,0.2835226,0.2844369,0.28442213,0.28329185,0.28145742,0.2795695,0.2786859,0.28022316,0.28446123,0.28912964,0.29053274,0.28662625,0.27923432,0.27233735,0.2697121,0.2731401,0.2817246,0.2919451,0.29841906,0.29785225,0.29058358,0.28100005,0.27322865,0.2693246,0.2676363,0.2655524,0.26169348,0.25790253,0.2573869,0.2617896,0.2698088,0.2781479,0.2834771,0.2850717,0.28746682,0.3027612,0.34167576,0.4021105,0.45983386,0.4845892,0.46131098,0.4048828,0.34513202,0.30554512,0.289942,0.28934118,0.29326388,0.29653308,0.29825473,0.2992554,0.30066258,0.30289087,0.30568382,0.30711532,0.30631602,0.30322275,0.3001795,0.2982038,0.29733047,0.2954022,0.2910925,0.2838185,0.27496147,0.2676431,0.26719627,0.27922383,0.30394313,0.33449373,0.35890612,0.37052009,0.37004396,0.3642081,0.3575944,0.35177574,0.346428,0.3419933,0.33920467,0.3383552,0.33897004,0.34072626,0.34325317,0.345963,0.34751222,0.34643003,0.34264198,0.33729327,0.3327127,0.32992485,0.32928625,0.32978925,0.3308196,0.33136773,0.33097824,0.3294073,0.32761267,0.3264319,0.32609248,0.32512066,0.3223082,0.31739703,0.3116543,0.30599698,0.30078754,0.29617584,0.29295573,0.29176822,0.2921963,0.2927535,0.29205933,0.2896359,0.2857904,0.2808563,0.2744654,0.26514226,0.25094947,0.23127042,0.20844637,0.18727702,0.17203586,0.16399081,0.16098057,0.15973242,0.1573125,0.15230177,0.14460735,0.13644446,0.1310801,0.13122083,0.1359449,0.14159709,0.14346118,0.1388851,0.1273405,0.11110753,0.09447936,0.083614476,0.08301261,0.09369438,0.1112758,0.12966596,0.14331691,0.15055297,0.15180646,0.14874025,0.14280498,0.13608275,0.13119753,0.13000648,0.13232492,0.13593985,0.13849859,0.1387986,0.13707666,0.13417028,0.13092843,0.12795538,0.12570898,0.12466577,0.12525125,0.12761223,0.13115083,0.13447212,0.13586493,0.13418375,0.13001089,0.125257,0.12227604,0.12108436,0.11913681,0.11176273,0.09639763,0.074549265,0.052829847,0.038546413,0.03643598,0.04591541,0.06342762,0.084005296,0.1033802,0.11810261,0.12659465,0.1293418,0.12805294,0.12403768,0.11689272,0.10521742,0.08849732,0.06922171,0.05262244,0.044275854,0.04640712,0.057340126,0.075413726,0.104687415,0.1551386,0.22950935,0.3127713,0.37238142,0.3846054,0.3508583,0.29868183,0.2551351,0.23156822,0.22207765,0.2176994,0.21392834,0.21144243,0.21176802,0.21631391,0.22551991,0.23869193,0.25219616,0.26047745,0.25926003,0.24723671,0.22590095,0.19668436,0.16170222,0.12454329,0.090441205,0.06376832,0.046262648,0.03781569,0.03799287,0.044848904,0.054112453,0.058981847,0.055857714,0.04565924,0.033959914,0.02482012,0.019599522,0.0167414,0.014842395,0.013144058,0.011607256,0.010268249,0.009129524,0.008147899,0.0072920583,0.0065661618,0.0060003228,0.005551096,0.005119849,0.0045973063,0.0039734235,0.003322227,0.002748965,0.0023168775,0.002031816,0.0019469829,0.0028552217,0.0066999258,0.016315537,0.032207716,0.05064714,0.06384193,0.06610143,0.05745927,0.043954086,0.03202923,0.025508767,0.025414683,0.031937804,0.044430867,0.060412366,0.075710066,0.08667752,0.0920045,0.092882775,0.09134847,0.0918214,0.10265335,0.13699621,0.20046651,0.28235456,0.3518951,0.3814038,0.36257815,0.31508586,0.26592708,0.23408763,0.22110061,0.21943052,0.2206987,0.22129893,0.22206116,0.22507007,0.23181456,0.24145186,0.2516388,0.25860658,0.25882623,0.249779,0.23051162,0.20213312,0.16766475,0.13226728,0.10114036,0.078075014,0.064290114,0.059316043,0.061995763,0.069933094,0.079551905,0.08620766,0.0874455,0.08359205,0.07770952,0.07229633,0.068493634,0.06590297,0.06411543,0.06314764,0.06349307,0.06562849,0.069503754,0.07436391,0.078906685,0.08194614,0.082995266,0.0825041,0.081448756,0.08059525,0.079981364,0.07905092,0.07724586,0.07467662,0.07206178,0.07025701,0.06984508,0.071424514,0.07600579,0.083790064,0.09273234,0.09824705,0.09662356,0.08805712,0.07681038,0.06745301,0.06167902,0.058495235,0.05646232,0.05534379,0.05536166,0.05635203,0.057552263,0.05853708,0.059113383,0.059018996,0.05960984,0.06737425,0.09535869,0.15327685,0.23518395,0.3153864,0.366322,0.37889114,0.36740828,0.35351753,0.34831306,0.3501846,0.35249487,0.35250747,0.35093245,0.34969687,0.3486683,0.34650317,0.34207952,0.33547047,0.32659075,0.3120247,0.28624249,0.24534129,0.19342327,0.14115933,0.10019854,0.07544957,0.064229496,0.060364738,0.059349965,0.06030352,0.06381128,0.06916419,0.07318623,0.07254832,0.06669946,0.058388043,0.051314387,0.047342543,0.04621756,0.046826854,0.04849043,0.05106779,0.05442657,0.058119077,0.061274488,0.062993295,0.062783025,0.060855057,0.05811325,0.055559214,0.053985734,0.053496134,0.05386792,0.054519188,0.054987565,0.054870922,0.05416592,0.053470697,0.05435538,0.05920413,0.06943374,0.0833152,0.09530249,0.09964462,0.0946638,0.08432862,0.07431693,0.0680835,0.06526187,0.064227246,0.06373792,0.063653044,0.063669376,0.06307888,0.060952246,0.05691399,0.05131048,0.04479776,0.03810841,0.031964038,0.027309515,0.024872325,0.024797939,0.026346704,0.028271658,0.029412458,0.02912992,0.027507462,0.02501905,0.022323743,0.019857429,0.017853772,0.016262604,0.01501599,0.014031959,0.013344802,0.012956821,0.012921839,0.013287974,0.014078689,0.015186164,0.016287657,0.017042428,0.017136434,0.016514998,0.015278109,0.013779388,0.012387867,0.011371116,0.0107288165,0.010342362,0.010128054,0.010108579,0.010297932,0.010626909,0.010939982,0.011111231,0.011064828,0.010798626,0.010315721,0.009637669,0.008814047,0.007925587,0.0070809764,0.006339433,0.0057314713,0.0052202367,0.004778273,0.004367867,0.0039722216,0.0035610227,0.0031169637,0.0026631653,0.002266756,0.0019921993,0.0018398642,0.0017518782,0.0016717386,0.0015921217,0.0015496442]