[0.041932933,0.042117238,0.04409252,0.05053963,0.06296584,0.080461435,0.09893467,0.112824105,0.11742976,0.1129451,0.10435068,0.09865192,0.099227495,0.10541793,0.11459935,0.12544179,0.13664292,0.14593239,0.15097058,0.15249635,0.15391637,0.15805645,0.16342641,0.16569121,0.16034853,0.14635968,0.12600972,0.10496559,0.08934695,0.083310336,0.086733736,0.0969579,0.111366175,0.12853236,0.1462176,0.16017485,0.16553359,0.16042745,0.14711924,0.13088806,0.11643073,0.107130654,0.105782054,0.117182635,0.14612888,0.19218993,0.24592227,0.29271415,0.32303476,0.33716205,0.34293082,0.34632683,0.34911636,0.34796497,0.34008598,0.32240367,0.2955052,0.26081434,0.2238278,0.18911606,0.16107702,0.13975014,0.12358406,0.109507024,0.0962184,0.085023455,0.080553286,0.08771395,0.107170284,0.13260396,0.15399502,0.16412066,0.16322601,0.15729553,0.15324353,0.15410633,0.1589304,0.16459979,0.16940081,0.17317502,0.1765896,0.17861867,0.17725575,0.17037337,0.15791984,0.14142469,0.12398005,0.10863462,0.098007225,0.09327523,0.09499702,0.1033985,0.117987275,0.13603461,0.15261857,0.16320474,0.16590704,0.1611268,0.14932214,0.1306188,0.10699601,0.08345267,0.066491134,0.059972364,0.06310669,0.070856474,0.07783818,0.08192508,0.085234225,0.09124302,0.09924042,0.10431927,0.10100982,0.09160604,0.08462616,0.08908192,0.10451888,0.1223732,0.13204713,0.12983781,0.11957509,0.109252535,0.10463047,0.10668409,0.11260081,0.11988529,0.12906344,0.14164041,0.15674682,0.16917706,0.17371662,0.16926385,0.16040178,0.1528271,0.1488828,0.14666003,0.14414388,0.14340223,0.15141337,0.17490886,0.21504144,0.26377514,0.3090032,0.34065306,0.35695717,0.36138806,0.35919073,0.35279417,0.34420645,0.3343252,0.32379708,0.30919465,0.28651485,0.2529942,0.21282405,0.17403018,0.1459779,0.13281564,0.13334298,0.14161737,0.15181674,0.16024339,0.1662934,0.16977674,0.16970815,0.16445081,0.15450895,0.14345582,0.13638693,0.13602798,0.1409811,0.14731598,0.15243375,0.15670617,0.16173376,0.16742118,0.17134821,0.17117314,0.16665861,0.15988879,0.15291987,0.14651366,0.13971525,0.13145702,0.12147672,0.11168472,0.105466165,0.10634417,0.11466122,0.12712836,0.13821429,0.14408757,0.14330284,0.1362441,0.124032445,0.11053231,0.10348966,0.111266635,0.13607027,0.16931345,0.19644612,0.20601542,0.19780941,0.18038656,0.1637826,0.1512075,0.13947658,0.12518845,0.11134691,0.10607493,0.11491469,0.1348375,0.15579873,0.16806747,0.16796643,0.15867263,0.14690371,0.138274,0.1347536,0.13457067,0.1358083,0.13781554,0.14091313,0.1433184,0.14183481,0.13483605,0.12524326,0.119227655,0.12159256,0.13199995,0.14585327,0.15857802,0.17095602,0.1877229,0.21379454,0.24767475,0.28313667,0.31233075,0.331455,0.3408269,0.3435396,0.3425821,0.3390969,0.3321891,0.32043675,0.30314556,0.28108144,0.25492957,0.2258864,0.19565398,0.16753393,0.14493525,0.1290946,0.11807037,0.107867755,0.0975709,0.091262855,0.09610858,0.11451272,0.14059769,0.16317195,0.17430128,0.17385836,0.16753215,0.16093408,0.15604389,0.15243243,0.14972544,0.14935718,0.1515001,0.15407932,0.15180932,0.1419852,0.12620036,0.11197286,0.10674632,0.11406515,0.13062096,0.14971894,0.16629343,0.1795852,0.19123869,0.20111386,0.20607029,0.20253338,0.18969345,0.17164762,0.15488325,0.14534058,0.14371486,0.1467067,0.14947288,0.15051836,0.15081467,0.15230922,0.15522712,0.15944201,0.1648448,0.17118637,0.17569028,0.17302758,0.15879582,0.13471013,0.11070291,0.09917021,0.10637367,0.12659505,0.14688857,0.15593421,0.15223473,0.14285146,0.13766922,0.14138538,0.15181743,0.16274159,0.16990037,0.17302339,0.1735208,0.17113541,0.16379555,0.1514194,0.13808365,0.1306455,0.13343185,0.1449473,0.15867203,0.16817577,0.17304038,0.18036501,0.19989026,0.23460166,0.27620244,0.31045556,0.32796142,0.33016098,0.32534423,0.3206776,0.31793296,0.3146187,0.3083463,0.29819107,0.28463575,0.26693016,0.24355876,0.21409106,0.18132041,0.15089385,0.12773077,0.114001505,0.10828429,0.108342476,0.11255924,0.119986355,0.12846638,0.13405639,0.13373603,0.12835598,0.122492395,0.120264925,0.12124634,0.12176645,0.11946294,0.11769768,0.12294809,0.13904749,0.1621297,0.18307263,0.19348867,0.19071144,0.17764525,0.15975,0.14247392,0.12941055,0.12237512,0.12161827,0.12735993,0.13904454,0.15471995,0.17002626,0.18046431,0.1828267,0.17669575,0.16272347,0.14257555,0.11891883,0.09749455,0.08653011,0.09269491,0.11611983,0.14789762,0.17600699,0.19140297,0.19355555,0.1868601,0.17725827,0.16827805,0.16215448,0.16066104,0.16538975,0.1763513,0.19078968,0.20380388,0.21041833,0.20791876,0.19713058,0.1817442,0.16635732,0.15359108,0.14352125,0.13520426,0.12987535,0.13047558,0.13881205,0.15239312,0.16550262,0.17277716,0.17138046,0.16101664,0.1423998,0.11981601,0.10482643,0.11839336,0.17987071,0.28932822,0.4154662,0.5104491,0.54051,0.50886565,0.44750202,0.3910567,0.3561337,0.34085366,0.33467618,0.32799515,0.31450275,0.2924091,0.2624673,0.22792934,0.19218369,0.15991409,0.13673319,0.12820645,0.13560115,0.1545612,0.178861,0.20660777,0.2388062,0.27262428,0.29570654,0.29485795,0.26701647,0.22514828,0.18745257,0.16552453,0.15774038,0.15559478,0.15226497,0.14849246,0.1494114,0.15831359,0.17223926,0.18782909,0.20847653,0.24866171,0.31841782,0.41089568,0.49300328,0.52978426,0.5033924,0.43060675,0.3437079,0.2730815,0.22905539,0.20845811,0.20362188,0.21268876,0.2354153,0.2674245,0.29526624,0.30803725,0.30814585,0.31689087,0.35470438,0.42251053,0.49319425,0.53393364,0.52849025,0.48820135,0.43710327,0.39569578,0.37127116,0.36211348,0.36328527,0.37084213,0.379905,0.38340256,0.37326428,0.34654954,0.30806258,0.2674381,0.23209362,0.20433743,0.1829192,0.16677038,0.15574692,0.15032156,0.14912929,0.14890575,0.1447053,0.1346311,0.12207516,0.115688585,0.12230054,0.14148632,0.16675238,0.19446854,0.23284858,0.29433063,0.38187525,0.4736209,0.53692794,0.54688615,0.50818866,0.4452443,0.3874646,0.34964827,0.33234847,0.3268384,0.32479858,0.32043004,0.31092083,0.29465392,0.2728226,0.2491002,0.2283858,0.21246238,0.19939609,0.18544744,0.17072447,0.16084917,0.16612154,0.19145055,0.23078422,0.26473662,0.2756017,0.2576306,0.22256361,0.1876598,0.16556706,0.15872258,0.1624589,0.17073993,0.17962964,0.18852662,0.19755028,0.20584689,0.21395953,0.22775608,0.25961697,0.31667683,0.3901761,0.45165148,0.47202852,0.4397732,0.37047565,0.29298785,0.23235656,0.19795829,0.18616843,0.18958582,0.20413417,0.22785397,0.25500593,0.27570271,0.28511906,0.29341638,0.32085863,0.3791882,0.45454684,0.514122,0.52997965,0.5002919,0.44710815,0.39698002,0.36457953,0.34966314,0.34615293,0.34874538,0.35468408,0.36023375,0.35901046,0.34483102,0.3157847,0.2769917,0.23730439,0.20496325,0.18364085,0.17234491,0.16753648,0.16560823,0.16433303,0.16240767,0.15837489,0.15107231,0.14093477,0.13208927,0.1302473,0.13914783,0.15644875,0.17783113,0.20363586,0.24532871,0.31392673,0.40731597,0.49762216,0.55092937,0.54596275,0.4945759,0.42556217,0.36904308,0.33622113,0.32444522,0.32219407,0.32069957,0.3139503,0.30054572,0.2796464,0.25228664,0.22066224,0.19034982,0.16855504,0.1608829,0.16745949,0.18349542,0.2041658,0.22832532,0.25472632,0.2761023,0.27867404,0.2541733,0.2091717,0.16451336,0.13953482,0.13983493,0.15460406,0.16766357,0.16940117,0.16289721,0.15884261,0.165177,0.18161756,0.20446299,0.23730977,0.2904632,0.36887285,0.45539722,0.51635295,0.52112216,0.46699777,0.3780706,0.28979456,0.22629283,0.19472621,0.1895292,0.20308207,0.22898519,0.2610886,0.2895505,0.3053348,0.30680284,0.30846396,0.3306041,0.38514066,0.4568512,0.514138,0.5276015,0.49470124,0.436074,0.3805089,0.34471467,0.33024,0.32982397,0.33684063,0.34583354,0.3501948,0.34080085,0.31244504,0.26887274,0.22249901,0.18644269,0.16754343,0.16421418,0.17003,0.17755742,0.1821091,0.18155229,0.17664774,0.16865773,0.15960917,0.15118468,0.14546643,0.14462626,0.14989479,0.16038698,0.17470847,0.19627877,0.23668313,0.3050222,0.39431953,0.4741149,0.5118725,0.49437317,0.43919766,0.3761475,0.3284564,0.3021233,0.29194722,0.28981364,0.29029667,0.29090524,0.2907296,0.28851342,0.28352213,0.27609527,0.26908553,0.2655549,0.26710236,0.27244172,0.28067818,0.29362112,0.3144,0.34119037,0.3642119,0.37152255,0.35895023,0.3343549,0.31082702,0.29710332,0.2931829,0.2943109,0.2963021,0.29833797,0.3014504,0.3062826,0.3117765,0.31746355,0.3270317,0.35033765,0.39600512,0.4616041,0.5265251,0.5641598,0.55729705,0.51192266,0.4480342,0.38815084,0.34334263,0.31639883,0.30465114,0.3081678,0.32565472,0.35300592,0.37843224,0.39261758,0.39529464,0.4013237,0.42480114,0.4674561,0.5092316,0.52636856,0.5052585,0.45489642,0.3945767,0.34322676,0.30854708,0.29083604,0.2875885,0.29863024,0.3221074,0.35135758,0.3734363,0.3808366,0.37866464,0.38663748,0.41956234,0.47374758,0.5220693,0.5365946,0.50740093,0.45054892,0.39159632,0.34874892,0.32554987,0.31603944,0.31357595,0.31364056,0.31508705,0.31686184,0.3184916,0.31784707,0.31287912,0.30109045,0.28244448,0.25929597,0.2368098,0.21964197,0.21020012,0.20698613,0.20656675,0.20545065,0.20223011,0.19727702,0.1916212,0.18584378,0.17960513,0.17233448,0.16328782,0.1525269,0.14060502,0.12933467,0.12074188,0.1168594,0.118239105,0.12442076,0.13464129,0.14864695,0.16590159,0.18375157,0.19791211,0.20440854,0.20260203,0.19473444,0.18421549,0.17363423,0.16521616,0.16137029,0.16407071,0.17330845,0.18633367,0.19898444,0.20719431,0.20856416,0.20197648,0.18787338,0.16769917,0.14495666,0.124332756,0.11107388,0.10898607,0.119512476,0.14044721,0.16566145,0.18716888,0.19907916,0.2008816,0.19657874,0.1912993,0.18799002,0.18709724,0.18760282,0.18923318,0.19218041,0.19703954,0.2025374,0.2069361,0.20809312,0.2056551,0.19968821,0.19159925,0.1826927,0.17452449,0.1661487,0.1555556,0.14031327,0.12146159,0.10189578,0.08557119,0.0741721,0.06789523,0.06543088,0.06542391,0.06645789,0.06784954,0.069729,0.07294625,0.07775866,0.082989536,0.08616383,0.08596406,0.08398678,0.08493004,0.092131935,0.104638,0.11613672,0.12131888,0.12002915,0.11914078,0.12616295,0.14380547,0.16759203,0.18972932,0.20499058,0.2129037,0.2169144,0.21958773,0.22164814,0.22172944,0.2190129,0.21277414,0.20194058,0.18519442,0.16321313,0.14098854,0.12616177,0.12466665,0.13595611,0.15366997,0.17010204,0.18134536,0.18768603,0.19107638,0.19215287,0.19061293,0.18642773,0.18114205,0.17638212,0.17240292,0.16704756,0.15780067,0.14426266,0.12958173,0.118947186,0.11696404,0.12516195,0.14131187,0.16009527,0.17611639,0.18612814,0.1902792,0.19015479,0.18735825,0.18300438,0.17893273,0.17835486,0.18400478,0.19554959,0.20785178,0.2143358,0.21161367,0.20252176,0.19330736,0.18897222,0.19011259,0.1933703,0.19409077,0.1891113,0.17883754,0.16645743,0.15564816,0.1476289,0.14141919,0.13545193,0.12965603,0.12486634,0.121856846,0.12105864,0.12383354,0.13256256,0.14830083,0.1682842,0.18651766,0.19802593,0.20196249,0.2012738,0.1987788,0.19506426,0.18813966,0.17687118,0.16256893,0.15042077,0.14549972,0.1498947,0.15944429,0.166807,0.16505249,0.15225418,0.13170703,0.11036501,0.0954636,0.09210652,0.10163727,0.1218125,0.14750849,0.1730904,0.19322424,0.20460331,0.20485473,0.19473182,0.17776507,0.16188557,0.15420623,0.15812957,0.1696692,0.1823587,0.19078301,0.19457804,0.195939,0.19782293,0.20125546,0.20564522,0.20891686,0.20940804,0.20646496,0.20087652,0.19268201,0.18112497,0.16500147,0.1457599,0.12718615,0.114613436,0.11196706,0.12057817,0.13769819,0.15648775,0.16856132,0.1690892,0.16085179,0.1525262,0.15174359,0.1593322,0.16948223,0.17594112,0.1765464,0.17369086,0.170483,0.1684733,0.16740118,0.16676605,0.16683346,0.16858481,0.17296796,0.1795866,0.18654674,0.19138278,0.19266213,0.19005118,0.18328935,0.17181844,0.15611218,0.138808,0.12361433,0.112651385,0.10536971,0.09963474,0.094037175,0.08832235,0.08306744,0.07894292,0.07750309,0.081882514,0.096186884,0.12275683,0.15925878,0.19841088,0.23124671,0.25079885,0.2545455,0.24403585,0.22502644,0.20545436,0.19292293,0.19018905,0.19481711,0.20148017,0.20630701,0.20782799,0.20610024,0.20105016,0.19278295,0.18209334,0.1710576,0.16187751,0.15596895,0.15320593,0.15305698,0.15598667,0.16371699,0.17767005,0.19620156,0.21442252,0.22637595,0.22950704,0.22599202,0.22096772,0.21765965,0.21500148,0.20867617,0.19639874,0.18089269,0.16886969,0.1646892,0.16725115,0.17123353,0.17242248,0.16968898,0.16428001,0.15756394,0.15090464,0.14541501,0.1424482,0.14278346,0.14682502,0.15350209,0.16052492,0.16490065,0.16508652,0.16198201,0.15862332,0.15798509,0.16123177,0.16720277,0.1741196,0.18083303,0.18715926,0.19234969,0.19529761,0.19536944,0.19380575,0.19244881,0.19236565,0.19309592,0.19395691,0.1948865,0.19637543,0.19854952,0.20092656,0.20276387,0.20360863,0.20341623,0.20269835,0.20239358,0.20367275,0.20696907,0.21172439,0.21648163,0.22017045,0.22238146,0.22350317,0.2236983,0.22324288,0.22227742,0.22180699,0.22233362,0.22418793,0.22621472,0.22764492,0.22787608,0.22748332,0.22722967,0.22785932,0.23024411,0.2346087,0.2407937,0.2473166,0.2535082,0.25960705,0.26722914,0.27633741,0.28529432,0.29143268,0.2947553,0.29687986,0.2996752,0.30199718,0.30205655,0.2990683,0.29467478,0.29106,0.29232708,0.30672732,0.34475183,0.40769124,0.47889194,0.52799916,0.5328617,0.49428272,0.43580544,0.3838086,0.35310152,0.3425885,0.34352407,0.34860733,0.3549448,0.36352777,0.37445852,0.38684583,0.3975936,0.40393412,0.4042833,0.4001428,0.39489827,0.39121687,0.38917685,0.38788572,0.38651946,0.38469866,0.3795266,0.36838534,0.3504095,0.3294196,0.31005165,0.29507902,0.28387433,0.2739506,0.2641387,0.25547197,0.25092915,0.25165913,0.25405073,0.25411555,0.25500536,0.27409142,0.32693732,0.40957093,0.48806706,0.5244212,0.50360423,0.4428955,0.3713181,0.3064147,0.25121817,0.20264934,0.16372116,0.14207111,0.14547239,0.17368792,0.21625654,0.25813243,0.290688,0.3215411,0.36712888,0.43605796,0.5132094,0.5697005,0.58397025,0.5595787,0.51709324,0.47736296,0.44930768,0.43300247,0.42560986,0.4229997,0.41725734,0.39811063,0.3594775,0.3062111,0.2521508,0.21253036,0.19378477,0.19135375,0.19266456,0.18752249,0.17528176,0.16620366,0.17119499,0.19189161,0.21700919,0.2329064,0.23313107,0.22429103,0.21685444,0.21810402,0.22696455,0.2432187,0.27327523,0.32803008,0.4069461,0.48932114,0.5430887,0.54811496,0.508807,0.44904968,0.39327917,0.35559067,0.33703592,0.33225083,0.33475554,0.3407067,0.3487793,0.3576512,0.36538264,0.37008154,0.3726276,0.37552965,0.38055226,0.386286,0.3901312,0.39108774,0.39074257,0.3892055,0.38353506,0.36833033,0.34315994,0.3129787,0.28713873,0.27065358,0.2629353,0.2572135,0.24731307,0.23176368,0.21725805,0.21335022,0.22497219,0.2461421,0.26814005,0.28959465,0.32435486,0.38417694,0.46471086,0.53585595,0.56648445,0.5419212,0.4756805,0.3920013,0.31319836,0.25084665,0.20948966,0.19072466,0.19524328,0.22152615,0.26099563,0.29824436,0.31960025,0.32669228,0.33857217,0.37455094,0.43349096,0.48821172,0.50766075,0.47920704,0.41893795,0.35515535,0.31100166,0.29322636,0.29724276,0.31543145,0.339884,0.36017063,0.36204126,0.33602488,0.2854169,0.2264903,0.17761318,0.14886995,0.13960122,0.14321107,0.15334977,0.16737205,0.18490382,0.20542444,0.22501631,0.23936026,0.24555178,0.24541588,0.2423666,0.24013239,0.24005741,0.24373503,0.25577238,0.28599584,0.3425102,0.420494,0.4981916,0.54752356,0.5547362,0.5264539,0.48468348,0.447598,0.42460918,0.41376975,0.41080704,0.4113787,0.413522,0.41621244,0.41848958,0.42045042,0.42233595,0.42487505,0.4273239,0.42880452,0.42834413,0.4267558,0.42514864,0.4240899,0.41938195,0.40373608,0.36964905,0.31845883,0.2597891,0.20788448,0.17109005,0.15003663,0.13902761,0.13264942,0.12884949,0.12922984,0.13489266,0.143279,0.14991273,0.1559832,0.1733207,0.21882975,0.2995772,0.40072063,0.49035963,0.5378438,0.533173,0.48868534,0.42783377,0.3695021,0.32354712,0.29338956,0.2813883,0.2890176,0.3133564,0.3442924,0.36805344,0.3773786,0.3794551,0.39177403,0.42518368,0.47246847,0.5102702,0.52070713,0.5007039,0.46610507,0.432745,0.4117683,0.40215757,0.4003882,0.40238357,0.40493706,0.4031552,0.38874444,0.35793093,0.31243446,0.26215875,0.21557851,0.17941965,0.15533423,0.14432162,0.14527355,0.15659301,0.17460947,0.19465928,0.21159852,0.22241567,0.22762412,0.2308477,0.23580189,0.24372248,0.2524896,0.2612124,0.27421466,0.30454373,0.36145914,0.44071078,0.51512057,0.5555999,0.54711145,0.5038418,0.45104003,0.4110504,0.38943255,0.38229218,0.38167152,0.3823994,0.38190523,0.3806753,0.3806634,0.38346902,0.3889253,0.39495984,0.3994288,0.4013286,0.4021852,0.40531126,0.4141437,0.42872894,0.44428203,0.45353934,0.4521115,0.44224945,0.4299998,0.4203929,0.4139864,0.40996957,0.40807196,0.40890446,0.41069254,0.40970907,0.4019686,0.38602397,0.36383644,0.3431803,0.33807424,0.36297545,0.41796017,0.4826204,0.52473706,0.52642316,0.49280342,0.4473389,0.40858617,0.38473487,0.37337503,0.37241796,0.3810171,0.39721283,0.41385666,0.41935208,0.40794596,0.3866743,0.37658605,0.39613864,0.4452444,0.49929056,0.52609736,0.50980765,0.46093535,0.40652034,0.36802593,0.3518099,0.35146523,0.36045495,0.37746608,0.40133592,0.42597952,0.4386982,0.43584678,0.42645156,0.43299726,0.46727705,0.5218169,0.5672018,0.5776667,0.5462702,0.48976895,0.43020272,0.38098514,0.34362528,0.31499207,0.293035,0.27585712,0.26116118,0.24627768,0.23173268,0.2229939,0.23127346,0.26925638,0.33988777,0.42771268,0.500462,0.5297811,0.5085662,0.45558295,0.39787367,0.35466215,0.3300388,0.3198658,0.3194278,0.32688403,0.34081054,0.35688236,0.36911115,0.37349668,0.37190166,0.36947632,0.37041363,0.37436533,0.37794742,0.37913308,0.37857878,0.3781433,0.37545252,0.36451432,0.34016678,0.30452478,0.2665569,0.23532729,0.2141518,0.19937165,0.18595344,0.1723073,0.16312982,0.16553544,0.18254964,0.20855212,0.23460002,0.2591595,0.29452205,0.35442594,0.43675804,0.5146726,0.55570024,0.54510087,0.4960493,0.43381333,0.37520817,0.32178012,0.26909938,0.21909751,0.18376453,0.17532958,0.19627608,0.23319244,0.27018118,0.30082712,0.3373971,0.39258194,0.46554327,0.5309059,0.5620675,0.546615,0.49962926,0.44455516,0.40101764,0.373813,0.36130106,0.3606204,0.3704768,0.38568902,0.39571366,0.38852337,0.36046436,0.31786874,0.27238935,0.2317578,0.19932906,0.17751372,0.1707003,0.18125983,0.2049654,0.23088682,0.24878745,0.25497678,0.25346297,0.24915159,0.24292965,0.23060115,0.20798965,0.17741449,0.15211047,0.15474665,0.20529652,0.30384192,0.42264357,0.51812506,0.5591908,0.54289025,0.4931217,0.4377172,0.39639118,0.3728706,0.3634238,0.36042964,0.35932675,0.35741326,0.3541658,0.34944713,0.34508964,0.34349313,0.34647894,0.352367,0.3584778,0.36246696,0.36537787,0.36936042,0.37510228,0.37902805,0.37416193,0.3570342,0.3300631,0.3013809,0.27587566,0.2540079,0.23304187,0.21339132,0.19939454,0.19711804,0.20979168,0.23380046,0.2589691,0.27574167,0.28603578,0.30685115,0.35590363,0.4320222,0.5071018,0.5457567,0.5303221,0.47296026,0.4025807,0.34496775,0.31069863,0.2962339,0.29288432,0.29521215,0.30227625,0.31367204,0.3246326,0.33269975,0.34392583,0.37375554,0.42965397,0.49972674,0.55419093,0.56862664,0.5395563,0.48602036,0.4321009,0.3931259,0.37206855,0.36544847,0.3702315,0.38194323,0.39307854,0.39149904,0.3700216,0.3314161,0.28901428,0.25512096,0.23376065,0.21955375,0.20646493,0.19355536,0.18608083,0.18879968,0.20148307,0.21679181,0.22569895,0.22260086,0.21067812,0.19949879,0.1990668,0.2112608,0.23093866,0.2537548,0.28543836,0.33646616,0.4076631,0.4822404,0.53355366,0.546952,0.5253839,0.4883678,0.45219865,0.42737457,0.41284335,0.40590286,0.40290198,0.40310177,0.40565088,0.4084468,0.4083564,0.40304783,0.39352658,0.38372275,0.37783888,0.37691167,0.37855044,0.37964466,0.37949133,0.3767197,0.36804497,0.34689227,0.31316143,0.2736113,0.24174565,0.22484489,0.22229214,0.22544932,0.22770135,0.22814292,0.23165421,0.24249636,0.25854662,0.27270886,0.28060877,0.2901119,0.31898037,0.37923375,0.46082678,0.5326681,0.56368494,0.5436852,0.48461625,0.4087251,0.3340414,0.27420053,0.23684,0.22690552,0.24233572,0.27537367,0.31095886,0.33440062,0.34051493,0.34226596,0.3619355,0.4112271,0.4774252,0.5295822,0.544853,0.5217061,0.48124027,0.4444807,0.42328277,0.4151926,0.41490814,0.41879526,0.4234666,0.42313054,0.40806484,0.37521115,0.32853326,0.2815836,0.24576901,0.22790731,0.22310765,0.22104746,0.21181065,0.1963064,0.18436901,0.1866607,0.203887,0.2266454,0.24314119,0.24908853,0.24859731,0.24788432,0.24653368,0.24130796,0.23534484,0.24795286,0.29842225,0.3876643,0.4829317,0.5433945,0.5448528,0.4996465,0.43709123,0.38470486,0.3520435,0.3369923,0.33273575,0.3348404,0.3402511,0.3463354,0.3495518,0.34787628,0.34147465,0.33345604,0.32696155,0.32423607,0.32553414,0.3313458,0.34288108,0.3607788,0.38170227,0.3979031,0.4023809,0.39449707,0.3811916,0.3704885,0.36611167,0.36549568,0.36445773,0.3604959,0.35473356,0.34968087,0.3467168,0.34480366,0.34263802,0.34357953,0.35775116,0.39587393,0.4568186,0.5212019,0.56026715,0.55624205,0.5131956,0.45358694,0.40017435,0.36608192,0.3516828,0.3528547,0.36537793,0.385111,0.40410438,0.41096374,0.39975747,0.37851655,0.36888823,0.3905723,0.44375014,0.50476307,0.5414141,0.5368078,0.49763778,0.44680774,0.40352103,0.37595713,0.36136138,0.35591304,0.3592514,0.37142375,0.38938382,0.4036069,0.4101449,0.41265115,0.42542174,0.4558157,0.4997529,0.53752214,0.5506809,0.5319281,0.4922345,0.45002905,0.41992906,0.40522838,0.40096676,0.40029988,0.39883414,0.3958343,0.39260414,0.39077985,0.39066324,0.39096832,0.38930276,0.38228258,0.36677375,0.3400823,0.30174026,0.2533835,0.20107836,0.15546006,0.129607,0.13135381,0.15692668,0.19122125,0.21746378,0.22692692,0.2227778,0.21379507,0.20754391,0.20563966,0.2058065,0.20440935,0.19943203,0.18959825,0.17378032,0.15058337,0.121457,0.091525525,0.067554355,0.05279838,0.046443243,0.046920568,0.0559926,0.074839324,0.09908375,0.11755166,0.123289905,0.12124539,0.12621732,0.14823963,0.18286695,0.21488309,0.23083657,0.22930668,0.21923824,0.21130858,0.208884,0.20701069,0.19938749,0.18557961,0.17311428,0.17090118,0.1826665,0.20318885,0.22222514,0.23016669,0.22311659,0.20309484,0.17530032,0.1459889,0.1221132,0.1114934,0.1190339,0.14249866,0.1720255,0.19638723,0.20950657,0.21217453,0.20810671,0.20007922,0.18866903,0.17459929,0.16081475,0.15244623,0.15312944,0.16123201,0.17047448,0.17501055,0.17454363,0.17390166,0.17661355,0.18053055,0.17760266,0.1635799,0.14273289,0.12908673,0.13331056,0.15563387,0.18355334,0.20443678,0.21303715,0.21379961,0.21303655,0.21389651,0.21463001,0.21081416,0.1978444,0.1733733,0.13922305,0.10150317,0.06776566,0.043532163,0.029867617,0.024471825,0.023682907,0.024605164,0.02631259,0.030476332,0.041292902,0.06210059,0.09247049,0.12606347,0.15482263,0.17252891,0.17800952,0.17300017,0.16002198,0.14122422,0.119714595,0.10171356,0.09373114,0.09798246,0.10730827,0.11065211,0.10121427,0.08396838,0.07053534,0.06956438,0.07862944,0.08726033,0.08674844,0.07833981,0.07079666,0.072033405,0.081140555,0.091966935,0.098460056,0.10152694,0.10562373,0.115398444,0.1299377,0.14347999,0.14844312,0.14129478,0.12538181,0.109390914,0.10062581,0.099749744,0.099549234,0.09206889,0.07453553,0.05217795,0.032666866,0.02190994,0.022012845,0.033685703,0.056706112,0.08877623,0.12399372,0.15409929,0.17244178,0.17718846,0.17233413,0.16387254,0.15619451,0.14910282,0.14102052,0.13145246,0.12283632,0.11634275,0.110512115,0.10213068,0.091948085,0.084912516,0.08705173,0.09902403,0.11618596,0.13173945,0.14179161,0.14581408,0.14461209,0.13760175,0.123741634,0.104853384,0.08868923,0.084884465,0.099068575,0.12694855,0.15850614,0.18409216,0.20244406,0.22123583,0.2508264,0.29469672,0.342477,0.37770954,0.3885424,0.37800345,0.35751358,0.33866358,0.32515636,0.31585228,0.30772224,0.29872885,0.28662384,0.2699062,0.2496066,0.23015364,0.21700157,0.2114688,0.20877743,0.19969149,0.1775012,0.14370528,0.10967687,0.091102116,0.097205214,0.12423625,0.15582967,0.17586529,0.17722426,0.16577852,0.14996149,0.13459946,0.11768752,0.098590136,0.08092553,0.07308122,0.079191744,0.095992886,0.112526596,0.1198852,0.116793446,0.111583024,0.11443472,0.12999348,0.15392022,0.17698084,0.19262503,0.20013542,0.20285778,0.20183076,0.19547065,0.1826673,0.16830255,0.1608734,0.16688108,0.1851876,0.20965968,0.23458898,0.26019296,0.28943387,0.32362136,0.35626185,0.3779343,0.38206974,0.37215567,0.35745135,0.3458451,0.33901027,0.33466598,0.3316205,0.3300316,0.32802948,0.32060853,0.30186403,0.2720417,0.23708655,0.20587611,0.18172379,0.16163188,0.139639,0.11427552,0.09139043,0.08112415,0.09152329,0.12266787,0.16615683,0.20854537,0.23855682,0.25132367,0.24870272,0.23479272,0.21210943,0.18359381,0.15703493,0.1493101,0.1763926,0.24089198,0.3213686,0.38644764,0.41460907,0.40924433,0.38894096,0.37108576,0.36190948,0.35879114,0.35705248,0.3520755,0.34016696,0.31772527,0.28318104,0.239145,0.19361214,0.15721992,0.13650014,0.13013668,0.13047777,0.13169293,0.13400735,0.14346492,0.16343325,0.19002895,0.21044345,0.21320938,0.19542255,0.16821916,0.14541166,0.13374317,0.12630868,0.11412286,0.09684428,0.08588108,0.09175206,0.11289719,0.13524418,0.14511453,0.13999563,0.12936749,0.12476484,0.13064212,0.14260226,0.15282919,0.15725361,0.15711026,0.15598147,0.1544991,0.1501983,0.14087754,0.12909801,0.12188039,0.1263243,0.143588,0.16800098,0.19219832,0.21631895,0.24801677,0.29448274,0.3494322,0.39567387,0.415936,0.40785253,0.381946,0.35370386,0.3320737,0.31919944,0.31207323,0.30752227,0.3015904,0.29090962,0.27165857,0.2439519,0.21144457,0.18153186,0.15820748,0.14068519,0.12375447,0.10531926,0.08939127,0.085196495,0.10019795,0.13385798,0.1765722,0.21440703,0.23721258,0.24261288,0.23432642,0.21733725,0.1940986,0.16851373,0.14980087,0.1562028,0.20190792,0.28467345,0.37689814,0.44513193,0.47104755,0.46481773,0.44950697,0.44234598,0.44540957,0.45088828,0.45029572,0.43550643,0.4023589,0.35039023,0.2879505,0.22648259,0.1778508,0.14719099,0.13439971,0.13234927,0.13277413,0.13009438,0.1283954,0.1357541,0.15602829,0.18071432,0.19502771,0.18927015,0.16680199,0.14100903,0.12409479,0.11857969,0.11659637,0.10901176,0.09490425,0.08316391,0.085041426,0.103811264,0.1330267,0.16087995,0.17875147,0.18251635,0.17259033,0.15053947,0.12108644,0.09109306,0.069740295,0.06310542,0.071854085,0.08887602,0.10442748,0.1111419,0.10937085,0.10360827,0.09783789,0.09103248,0.08311694,0.0804232,0.099553205,0.15401006,0.242438,0.33870387,0.41048923,0.43691018,0.4252096,0.39625797,0.37017846,0.3529854,0.34252706,0.33451274,0.32682922,0.31813017,0.3072019,0.2936199,0.27894732,0.2655317,0.25485173,0.24591815,0.23670809,0.22587152,0.21416897,0.20360656,0.1963132,0.19309561,0.19318207,0.19356914,0.18995447,0.17793483,0.15612476,0.12709628,0.09674897,0.071423,0.058255345,0.06654417,0.10743997,0.18389879,0.28273794,0.37405828,0.43118015,0.44523337,0.43106458,0.4097171,0.39581704,0.39076576,0.39060184,0.39270106,0.3986697,0.41048184,0.42489234,0.43255746,0.4239973,0.39789295,0.36288393,0.33100855,0.30887833,0.2959348,0.28910115,0.2898985,0.3036007,0.33332816,0.37210998,0.40467617,0.4171681,0.40657565,0.38204014,0.35576928,0.3365499,0.32649156,0.3257675,0.33538017,0.35739636,0.3901768,0.42434525,0.44573355,0.44468626,0.42259791,0.39085248,0.36123455,0.34078136,0.3300499,0.32821676,0.3369458,0.3599112,0.39744678,0.43981245,0.47035766,0.4766718,0.45879248,0.42935276,0.40085423,0.38183358,0.3724947,0.37323892,0.38411632,0.40720323,0.43899608,0.47029746,0.4878727,0.4860684,0.4687601,0.4481109,0.432626,0.4260553,0.4251249,0.42476407,0.41665336,0.3942553,0.35575357,0.30802345,0.26119155,0.22160433,0.18808365,0.15721579,0.1309738,0.11706402,0.1223317,0.14500749,0.17607105,0.20526437,0.2270177,0.24016811,0.24534552,0.24319832,0.23413698,0.2198125,0.20292842,0.18991052,0.1904636,0.21838315,0.2804325,0.36797854,0.45188126,0.50095445,0.5012147,0.46577772,0.42006144,0.38358867,0.36111072,0.34814525,0.3380387,0.32598114,0.30817917,0.28351262,0.25403938,0.22555129,0.20369738,0.19035994,0.18219833,0.17301004,0.15853395,0.14137028,0.13200398,0.14473124,0.18396407,0.23857921,0.2827228,0.29750478,0.27972567,0.246208,0.21540491,0.19983232,0.19882528,0.20575397,0.212902,0.2176727,0.222434,0.23034185,0.24178183,0.25643545,0.27940857,0.32304537,0.39413556,0.48164868,0.55214,0.5729185,0.5314322,0.44761574,0.35538897,0.2844387,0.24454224,0.23055612,0.23246305,0.24402063,0.2611104,0.27587548,0.2779901,0.26498297,0.25146002,0.26257628,0.3115364,0.38395032,0.4434224,0.46156016,0.43597758,0.39002535,0.34808004,0.3227684,0.31241348,0.31206134,0.31896105,0.33055902,0.34180248,0.34283903,0.32698178,0.29314083,0.24956745,0.20766626,0.17897983,0.16842437,0.17369108,0.18740715,0.20403975,0.22176325,0.23921247,0.25157213,0.25316006,0.24335785,0.22842532,0.21670257,0.21255553,0.21442272,0.22049026,0.23373754,0.26613423,0.32619777,0.40943754,0.48826113,0.5318406,0.5229445,0.4741212,0.41210487,0.3618765,0.3316375,0.3170891,0.30900815,0.30056778,0.28772914,0.26768294,0.23927395,0.20556007,0.17504573,0.15705752,0.15595467,0.16707964,0.18146794,0.19249667,0.20229898,0.2184301,0.24460296,0.27380386,0.29101655,0.28693625,0.26437056,0.23689383,0.21576202,0.2049941,0.20076506,0.19897677,0.19819205,0.20048581,0.20745791,0.21805899,0.22981416,0.24449272,0.2718743,0.32450008,0.40336862,0.48850498,0.54438376,0.54319763,0.48123953,0.38286948,0.28178927,0.2053091,0.16234826,0.14941615,0.15854128,0.18367259,0.21682055,0.24449487,0.2537797,0.24671285,0.24666108,0.2825288,0.3614819,0.45616522,0.52300096,0.5343695,0.49602208,0.43655625,0.38447428,0.35304227,0.34123015,0.3420265,0.34986532,0.35908762,0.36246493,0.35073063,0.32088885,0.27837813,0.23574246,0.20385261,0.18867691,0.18933229,0.20022385,0.2128902,0.22081195,0.22083056,0.21296747,0.19727542,0.17547493,0.15231173,0.13631932,0.13500027,0.14999665,0.17538221,0.20387447,0.23460095,0.27725565,0.33992168,0.4184363,0.48846194,0.5257345,0.51930624,0.48404586,0.4422828,0.41238013,0.39720407,0.39150786,0.3869852,0.37668195,0.3560008,0.32409093,0.28584942,0.2492914,0.22156756,0.20461456,0.19563939,0.1881063,0.17657961,0.16020018,0.14835577,0.15380745,0.18309093,0.22480567,0.2581092,0.26678857,0.25201365,0.2266727,0.20400469,0.18963112,0.18310745,0.18303205,0.18883109,0.19902498,0.2082603,0.20883352,0.19821687,0.18671094,0.19824904,0.25342056,0.3510877,0.45829287,0.5311785,0.54133576,0.4947057,0.42006862,0.34868133,0.29701522,0.2668921,0.25308207,0.2526256,0.26391667,0.28346428,0.30048046,0.30664897,0.30335462,0.309376,0.3419982,0.40493122,0.47375473,0.5198476,0.52349144,0.4944011,0.45259455,0.41995165,0.40269187,0.39970794,0.40419462,0.41064367,0.41037467,0.3940259,0.3539408,0.29416832,0.22869968,0.17733806,0.15189551,0.15370421,0.17177679,0.19232027,0.20371886,0.2039373,0.19683689,0.18824945,0.17965807,0.17069562,0.16245008,0.15964647,0.16679887,0.18353437,0.20459174,0.22568949,0.2507528,0.29096273,0.3532212,0.4276042,0.48808017,0.5100239,0.4877164,0.4372274,0.38234082,0.34034476,0.3161876,0.30639437,0.30354536,0.29943824,0.28697613,0.26323768,0.2317477,0.2005903,0.17718017,0.16317226,0.15537065,0.1494629,0.14571542,0.14849152,0.16471599,0.19429635,0.22811575,0.24768774,0.24106717,0.20990245,0.17201655,0.14508228,0.13685805,0.14100516,0.14742653,0.15040177,0.15290515,0.16055776,0.17582594,0.19385882,0.21139719,0.23264176,0.27464673,0.34769842,0.44456026,0.52992886,0.56813985,0.5406311,0.46358266,0.36899492,0.28846705,0.23573728,0.20996995,0.2038631,0.21248846,0.2317121,0.2536044,0.26483154,0.2591567,0.24681479,0.25504097,0.3040897,0.38872087,0.47395754,0.52263266,0.51918703,0.47869942,0.42797303,0.38730872,0.36203322,0.3493863,0.34608892,0.3496667,0.35450086,0.35015747,0.32899094,0.29714906,0.27737036,0.2962732,0.36132202,0.45116678,0.5233915,0.5447934,0.5073876,0.43383226,0.3543954,0.2934406,0.25657415,0.23901558,0.23047818,0.22292475,0.21047492,0.19089831,0.16858979,0.1566655,0.17462079,0.23500614,0.33012685,0.42928627,0.49611077,0.5125157,0.48720145,0.44537568,0.40793633,0.38417664,0.3719895,0.36607066,0.35953525,0.34712243,0.3256382,0.29573306,0.2605206,0.22463883,0.1937275,0.1742549,0.17037451,0.18075001,0.19928975,0.22088636,0.2453165,0.2717806,0.2940179,0.29922548,0.28220737,0.24918891,0.21729124,0.19741243,0.19122653,0.19097282,0.19132902,0.19024532,0.19060224,0.19395703,0.20147723,0.2115943,0.22626472,0.25199986,0.30064702,0.37549925,0.46307316,0.5318442,0.5537482,0.519894,0.4483858,0.3677876,0.30238244,0.26050994,0.24008931,0.2359227,0.24591275,0.26694182,0.29104313,0.3063399,0.30855727,0.30830657,0.32677415,0.37500748,0.44051194,0.49195933,0.5055854,0.4811846,0.44019035,0.40413615,0.38329735,0.37558714,0.3761976,0.38142523,0.38743973,0.38779867,0.3737314,0.34163284,0.2954857,0.24695016,0.20586585,0.17703994,0.15861799,0.14777957,0.14362408,0.14788933,0.16155373,0.17948939,0.19173108,0.18837209,0.16994803,0.14770843,0.13825364,0.15072374,0.18112005,0.2174735,0.25237414,0.29400155,0.35505226,0.43755126,0.517855,0.5653112,0.5620246,0.51952827,0.46423647,0.41966593,0.3939024,0.38268295,0.37842038,0.37477794,0.36759877,0.35354125,0.3313329,0.3039118,0.27672508,0.254053,0.23563844,0.21839882,0.20139317,0.18868737,0.18892717,0.20873009,0.2453959,0.28465685,0.30706945,0.30193278,0.2727423,0.23516911,0.20453642,0.18954681,0.18938662,0.19801532,0.2087668,0.21792425,0.22538643,0.23152234,0.23702985,0.24545348,0.2675387,0.31662956,0.39507663,0.48430076,0.5497136,0.5641482,0.5235462,0.4490995,0.36808863,0.2999846,0.24961728,0.21512179,0.19569528,0.19357342,0.20758913,0.22718056,0.23820634,0.23780817,0.24328822,0.2802441,0.35630104,0.44741723,0.51207596,0.5239509,0.48896196,0.43593702,0.3916781,0.36686587,0.35897246,0.36109045,0.36832795,0.3742083,0.37176254,0.35347748,0.3201589,0.2790263,0.24195682,0.21578835,0.20218422,0.19817473,0.2005331,0.2061917,0.21180844,0.21409605,0.21024512,0.19994663,0.18511446,0.17067157,0.16277741,0.1666679,0.18316816,0.20789069,0.23633249,0.26888347,0.3141834,0.37767127,0.4541664,0.51991063,0.5514762,0.53700453,0.49078763,0.43625656,0.39534727,0.3738475,0.36794248,0.3687793,0.3682295,0.35913348,0.3364557,0.30051127,0.25748295,0.21775252,0.19052762,0.1805393,0.18569748,0.2000715,0.21799044,0.23847793,0.26126117,0.28154144,0.28756645,0.2699016,0.2308268,0.18643592,0.15626831,0.15039337,0.1638065,0.18108995,0.18845601,0.18253933,0.17175375,0.16740887,0.17448096,0.19043438,0.21368557,0.2525169,0.31807566,0.40915394,0.5002869,0.55535275,0.55077887,0.49233815,0.40849784,0.3314542,0.28129363,0.26097134,0.26221916,0.27451876,0.2898964,0.3024486,0.3033197,0.28724667,0.2592206,0.24373555,0.26516926,0.3321279,0.41800344,0.48645234,0.50881,0.48984516,0.44991925,0.41457462,0.39434305,0.38964152,0.39361158,0.4002626,0.40309462,0.39523673,0.37036034,0.32967988,0.2824636,0.24232821,0.21760552,0.20868535,0.20943718,0.21199948,0.21047704,0.20338602,0.19437885,0.18893558,0.18954842,0.1936503,0.19658972,0.19635262,0.19514573,0.19640349,0.20306478,0.21785676,0.24774265,0.30022073,0.37606928,0.4597706,0.52566063,0.55241865,0.538101,0.49869362,0.45630762,0.42579827,0.4109724,0.40771833,0.40991533,0.4127202,0.41355106,0.41160345,0.4073025,0.4021512,0.3982812,0.39785662,0.40131733,0.4067162,0.41069722,0.4118482,0.41207802,0.41426697,0.41800097,0.4186789,0.41192356,0.3984541,0.38443783,0.37666988,0.37730563,0.38337687,0.38982165,0.39410642,0.3964578,0.3984579,0.39989868,0.39948344,0.3977952,0.4004265,0.41767445,0.4551158,0.5069192,0.5525312,0.5715677,0.5547531,0.5117057,0.46030125,0.41660294,0.3869469,0.37003398,0.362004,0.36057344,0.3649993,0.3742909,0.3854901,0.3973305,0.41190103,0.43666896,0.4747158,0.5213215,0.5591347,0.57257056,0.5530049,0.5085379,0.4541742,0.40756258,0.3780593,0.3672568,0.37062788,0.38238892,0.39657667,0.40646318,0.407295,0.40172064,0.40116867,0.41918197,0.4575747,0.5026625,0.5316026,0.53068584,0.502049,0.46086267,0.4220948,0.39378452,0.3765771,0.36705056,0.361454,0.35695866,0.35299477,0.34989786,0.3477175,0.34601295,0.34378195,0.34046915,0.3338615,0.32215974,0.30422434,0.28323606,0.26364186,0.24981867,0.24291252,0.24262743,0.2474521,0.25461617,0.25874707,0.25312558,0.23333329,0.20066518,0.16204701,0.12578698,0.09726455,0.07718442,0.063756645,0.054914538,0.04994176,0.04959054,0.056413006,0.07354721,0.10165017,0.13599436,0.1672282,0.18687494,0.19235055,0.18769832,0.17941628,0.17230779,0.16810237,0.1667198,0.16807143,0.1722594,0.17882222,0.18518285,0.18741192,0.18164057,0.16699393,0.14581387,0.12326273,0.10429842,0.091914415,0.08651214,0.087912135,0.097308956,0.115706004,0.14112608,0.16657178,0.1845871,0.19164066,0.19063294,0.18670326,0.1834939,0.18153167,0.18025644,0.1802047,0.18274713,0.18860966,0.196012,0.20196868,0.20421022,0.20253937,0.19732492,0.18810956,0.17406505,0.15608573,0.13757353,0.122709475,0.113793634,0.11005921,0.108893126,0.107823096,0.10573674,0.102551006,0.098437905,0.09342655,0.08770641,0.08216211,0.07864893,0.07920023,0.084471874,0.09225589,0.0983625,0.099642985,0.096624285,0.09314486,0.09180054,0.091709875,0.08927947,0.08514524,0.08586518,0.10116359,0.13414164,0.17749001,0.21647285,0.23872435,0.24097086,0.22948354,0.21436419,0.20333011,0.19827925,0.19675505,0.19440687,0.18748133,0.17298484,0.15048926,0.12372914,0.10174271,0.09517294,0.11028155,0.14365178,0.18327303,0.21521442,0.23161548,0.23307776,0.22515494,0.21284544,0.19922005,0.1867036,0.17849337,0.17558914,0.17473574,0.1690778,0.15439546,0.13289006,0.112690784,0.10230886,0.10644701,0.12383697,0.14853065,0.1724528,0.19031475,0.20151223,0.20905457,0.21507789,0.2190957,0.21970905,0.2169625,0.21378578,0.21269983,0.21459253,0.21648051,0.21575005,0.2111839,0.20513912,0.19983345,0.19651061,0.19389443,0.18981977,0.18166639,0.16879313,0.15365519,0.14196526,0.13840343,0.14328921,0.1518976,0.1591041,0.16307087,0.16572763,0.16969518,0.17613041,0.18495245,0.19535214,0.2058429,0.21353693,0.21611792,0.21336989,0.20814718,0.20386839,0.2021858,0.20172112,0.19883674,0.19106568,0.17948061,0.17028089,0.16969943,0.17950414,0.19318706,0.20047146,0.19296628,0.16967852,0.13662145,0.10356835,0.07980909,0.07226051,0.08438004,0.11551698,0.15869892,0.20269728,0.23566425,0.25143775,0.24939501,0.23329495,0.20882422,0.18470633,0.17038512,0.17115255,0.18368955,0.1987881,0.2082466,0.20977439,0.20576233,0.20008768,0.19616903,0.19691902,0.20309591,0.21231945,0.21903805,0.21835314,0.20718522,0.18592918,0.15679102,0.12529185,0.09820876,0.08294115,0.08469177,0.10531262,0.14066547,0.1795551,0.20761164,0.21531326,0.2042232,0.18500142,0.16910355,0.16238238,0.1640622,0.17091657,0.17962311,0.18750711,0.1913228,0.18771659,0.1754892,0.1576578,0.14231105,0.13784511,0.14808865,0.16804717,0.1878079,0.19821708,0.19609444,0.1834501,0.1641044,0.14122276,0.11705816,0.09459975,0.07738233,0.06826403,0.067078166,0.07081462,0.07539273,0.078361996,0.079444975,0.079969585,0.08185804,0.08802963,0.10187259,0.125942,0.15849574,0.19314851,0.22019817,0.23208296,0.22642411,0.20844822,0.18900104,0.17974047,0.18700498,0.20756526,0.23238671,0.25164187,0.26050296,0.257737,0.24467905,0.22363774,0.19869363,0.17521445,0.1575859,0.14737017,0.14271915,0.14117357,0.14202015,0.14799123,0.16237105,0.18600278,0.21423507,0.24012043,0.25797176,0.2671267,0.27011546,0.27006128,0.26748344,0.25978884,0.24361889,0.21936075,0.19371675,0.17560025,0.16856734,0.1671098,0.16199253,0.14875226,0.1315804,0.11880977,0.115800954,0.12124547,0.12988694,0.1380698,0.14616849,0.15657838,0.16879004,0.17845465,0.17958756,0.16939014,0.14966115,0.12560141,0.10255166,0.084907085,0.07691141,0.08340353,0.10671425,0.14275745,0.18071862,0.20961581,0.22499464,0.2300661,0.23071432,0.23049109,0.23008712,0.2290283,0.22742754,0.22544725,0.22311337,0.22008784,0.21634878,0.21222198,0.20843218,0.2057562,0.20481391,0.20585287,0.20855606,0.21223646,0.21597594,0.21920733,0.22161855,0.22322069,0.22390859,0.22384006,0.2234391,0.22345138,0.22421755,0.22551964,0.22673488,0.2272738,0.2268527,0.22560722,0.22462314,0.22572802,0.23088367,0.24113075,0.25607458,0.2741799,0.29226872,0.3062314,0.31197843,0.3087621,0.30038488,0.2933936,0.29251146,0.29651764,0.29931235,0.29420957,0.27999827,0.26168618,0.24617307,0.23849362,0.24288566,0.26811442,0.3218191,0.3999144,0.47868147,0.5287289,0.5350364,0.5068114,0.4673532,0.43572167,0.4191043,0.4131864,0.4116741,0.41003147,0.408504,0.4083221,0.40971577,0.41094425,0.4107672,0.40953723,0.4092454,0.41057527,0.41278365,0.41361794,0.41287568,0.41281733,0.4146333,0.41516694,0.40568075,0.38177487,0.34627756,0.31052575,0.28250554,0.26423585,0.2507533,0.2388678,0.22891563,0.2255407,0.22947188,0.235606,0.2328143,0.21881889,0.20554428,0.21981616,0.27552047,0.36282837,0.4429182,0.48500535,0.47865394,0.44312263,0.3967998,0.34967768,0.2989159,0.24692579,0.20513795,0.19023816,0.20702602,0.24253036,0.27077645,0.27803922,0.27295282,0.28444302,0.32972416,0.4005804,0.46463776,0.49735725,0.4957889,0.47797456,0.45999655,0.448179,0.43917608,0.43119094,0.4251791,0.4226464,0.41957402,0.40724817,0.3778303,0.33223674,0.28170982,0.2421831,0.22318621,0.22123979,0.22271307,0.21623534,0.20360638,0.19707324,0.20714039,0.23059018,0.2546585,0.26739392,0.2675139,0.26209354,0.25970945,0.26396695,0.27441588,0.29167256,0.32280973,0.37439778,0.44408727,0.51244575,0.55688405,0.5638271,0.5394635,0.49987325,0.46220198,0.436057,0.4238888,0.42271817,0.42786682,0.43515268,0.44155875,0.44477797,0.44362974,0.43945792,0.4355359,0.43533042,0.4390612,0.44425288,0.44756162,0.4479314,0.44610345,0.44096056,0.42880186,0.4044859,0.36889568,0.32848445,0.29399517,0.27143565,0.26041695,0.2541928,0.24685682,0.2388764,0.23807001,0.2523431,0.27978703,0.30831337,0.32759464,0.342482,0.3709892,0.42488864,0.49426612,0.5503488,0.56831396,0.5419763,0.48440138,0.4134705,0.3437542,0.28423318,0.24145311,0.22040369,0.22304833,0.24440576,0.27111277,0.2871163,0.28793827,0.2887362,0.31546533,0.37992677,0.46500382,0.5339089,0.5595253,0.54100657,0.5006705,0.4617389,0.43726483,0.42717782,0.4278655,0.43479183,0.4420947,0.44004318,0.41777882,0.3722221,0.31085795,0.24937873,0.20077431,0.1711991,0.15829824,0.15657632,0.16071282,0.16963387,0.18494321,0.20738776,0.23269807,0.2533268,0.26377586,0.26461646,0.26094663,0.25747252,0.25526604,0.25506666,0.2614815,0.2866466,0.3387039,0.41409174,0.48838678,0.53568774,0.5401237,0.5115708,0.46968994,0.43511555,0.4147842,0.4077884,0.40799364,0.41196778,0.41789874,0.4261825,0.4357785,0.44572723,0.45380387,0.45907542,0.4605434,0.45916465,0.45672822,0.45608056,0.4585463,0.46125364,0.456385,0.4339578,0.38952565,0.32809824,0.26288065,0.20689076,0.16680622,0.14135827,0.1253184,0.11506235,0.11170945,0.11951438,0.13865633,0.16133668,0.17680459,0.18489869,0.2028953,0.25267085,0.3398575,0.43962696,0.51486945,0.5386946,0.51553243,0.46693322,0.41730747,0.37612686,0.3456832,0.32525563,0.31882483,0.32725334,0.34530708,0.35891923,0.35744905,0.34266865,0.33483624,0.3548596,0.40963623,0.47756544,0.5289301,0.5407064,0.5174357,0.47709617,0.44206667,0.42066166,0.4118725,0.40832937,0.40683842,0.40500894,0.4002101,0.38522968,0.3565403,0.3158933,0.27214164,0.23192328,0.19870305,0.1723072,0.1553099,0.15271649,0.16978006,0.20451541,0.24559106,0.27616248,0.28525007,0.27465966,0.25687915,0.24433517,0.24156193,0.24582486,0.2555307,0.2766228,0.32019222,0.38994226,0.47180033,0.53686696,0.56015307,0.5380135,0.48940492,0.4406418,0.4088857,0.3971639,0.39873585,0.4049195,0.4092525,0.41020402,0.40996632,0.4123199,0.41858897,0.42700028,0.43424344,0.43881437,0.4416367,0.4447424,0.4490919,0.4546423,0.4599285,0.46327463,0.46200404,0.45577958,0.44600174,0.43683794,0.43098357,0.42954615,0.4309323,0.43276742,0.43272653,0.4297111,0.42438853,0.41810897,0.41194215,0.40736866,0.40873602,0.42441806,0.45950046,0.50805503,0.5501718,0.5658028,0.5484638,0.51030767,0.47040048,0.4412693,0.42452905,0.41527775,0.41013694,0.40845847,0.4108646,0.4158701,0.42057824,0.42445818,0.43133342,0.4496856,0.4836258,0.52787566,0.564516,0.57653767,0.55788773,0.5197789,0.47976908,0.45075822,0.43476722,0.42771554,0.42708567,0.43370828,0.44726667,0.46133563,0.46694505,0.46263614,0.4592389,0.47417593,0.51324534,0.56418306,0.5992534,0.59964377,0.5637645,0.51101327,0.46140933,0.4283692,0.4116657,0.4063176,0.40578857,0.40668294,0.4072162,0.40692616,0.4067154,0.41071284,0.42699373,0.46131602,0.5088219,0.5506382,0.5652198,0.5444383,0.49919358,0.4506618,0.41443267,0.3954654,0.38939735,0.39007375,0.3925253,0.39492822,0.39703298,0.3985975,0.39869913,0.3978481,0.39820924,0.40279448,0.4106365,0.41763625,0.41878715,0.41407216,0.40817738,0.40475473,0.4016731,0.39019796,0.36556306,0.33004406,0.29434326,0.26607043,0.24770449,0.23438384,0.22229803,0.21159555,0.21027446,0.22595437,0.25822547,0.29300758,0.3161808,0.32681867,0.34332585,0.38150498,0.4399058,0.49260497,0.5160699,0.5009837,0.46181473,0.41528496,0.3730869,0.33385336,0.2963059,0.2646205,0.251778,0.265752,0.3010645,0.33651698,0.35579452,0.3601413,0.37154672,0.40636694,0.46003053,0.50491095,0.51814634,0.4970907,0.460614,0.42800868,0.4081588,0.39838338,0.3942511,0.3937185,0.39620426,0.3992639,0.39749447,0.3862803,0.36412707,0.33375594,0.2983462,0.26074705,0.22381993,0.19333768,0.17665845,0.17983705,0.20201652,0.23480086,0.26454958,0.28089586,0.28070948,0.26845086,0.24939866,0.22682433,0.20182562,0.17956226,0.17128341,0.19417198,0.25773096,0.35422945,0.45290184,0.51959807,0.5348914,0.5073569,0.46065092,0.4183248,0.391224,0.37905094,0.37578106,0.3755339,0.37486658,0.3726307,0.36918274,0.3661081,0.36621308,0.37220183,0.38424066,0.39858148,0.40940222,0.41300252,0.41043004,0.4068469,0.40573487,0.40620616,0.40107402,0.38498163,0.35646817,0.32223603,0.28913894,0.2631722,0.24552436,0.23742376,0.23983276,0.2536866,0.27569047,0.2980828,0.31255057,0.31899384,0.32925153,0.36093226,0.42038915,0.49311003,0.54862785,0.5631374,0.5337662,0.47961512,0.42426708,0.38398334,0.36134592,0.35202348,0.349385,0.34994236,0.35181955,0.35358095,0.35348096,0.3532366,0.3612148,0.38854647,0.43730077,0.49353305,0.53273034,0.5390134,0.5136381,0.47319475,0.43334138,0.40337583,0.38452366,0.3768947,0.3796381,0.38976023,0.3993888,0.39860746,0.382285,0.35395512,0.32290745,0.29540113,0.2709934,0.24591428,0.22188695,0.20738548,0.2121526,0.23628943,0.26963532,0.29683375,0.30898345,0.30550042,0.2948766,0.28651285,0.28845838,0.29905963,0.31314746,0.32507005,0.34212902,0.3734338,0.42347392,0.4754515,0.5089926,0.5095311,0.48623025,0.45581892,0.4348108,0.42569697,0.42498776,0.42677948,0.42888176,0.43030462,0.43041337,0.42798504,0.42319396,0.41808796,0.4166619,0.4212718,0.43124756,0.44182813,0.44906178,0.45110953,0.4487127,0.43995917,0.42138728,0.39090934,0.3541062,0.3213359,0.30217257,0.29740062,0.30021134,0.30105975,0.29579118,0.28797555,0.28524807,0.2921007,0.30491087,0.31701073,0.32620266,0.34170556,0.37475917,0.42818224,0.4852501,0.52264357,0.523257,0.49144003,0.44203568,0.3918585,0.34736708,0.3117511,0.28673887,0.27798307,0.2872233,0.30981264,0.33165637,0.34181893,0.34164286,0.35002312,0.383835,0.44297886,0.5009966,0.52972585,0.51579684,0.47407472,0.42737496,0.39381358,0.3738382,0.36088327,0.34912762,0.3421954,0.34510133,0.35743478,0.36702976,0.36152473,0.33668593,0.30398038,0.27932987,0.27323768,0.28049403,0.28627253,0.27786526,0.25655985,0.23584183,0.2285151,0.23622954,0.24982308,0.26051795,0.26635158,0.27053478,0.27340662,0.27038395,0.25999972,0.25242648,0.2691526,0.3229971,0.4037627,0.4763364,0.508753,0.49081838,0.44261774,0.39254153,0.36234155,0.35460755,0.36123478,0.37091926,0.37825742,0.3827975,0.3858365,0.38729823,0.38607445,0.38253644,0.37905574,0.37875652,0.38258377,0.38922033,0.3964816,0.40461314,0.41392326,0.42376792,0.4289851,0.42610744,0.41470972,0.4012123,0.39162326,0.3891003,0.39003226,0.3895651,0.384822,0.37892604,0.37615922,0.3782452,0.38078383,0.38090155,0.38253656,0.39886567,0.43766212,0.49198878,0.5369831,0.5507548,0.5274363,0.483368,0.43918157,0.4088399,0.39312422,0.38838938,0.39154387,0.40295398,0.42157292,0.4420384,0.4550118,0.45573986,0.45024046,0.45454872,0.47968316,0.5205662,0.5548857,0.5619238,0.5368779,0.4946132,0.45492193,0.4296211,0.41797027,0.41306293,0.40976247,0.40775928,0.40869653,0.41203058,0.41445288,0.41547027,0.42022133,0.4371208,0.46687165,0.499168,0.5164481,0.5088819,0.47942647,0.4426377,0.4120817,0.3948163,0.3891289,0.38991025,0.391924,0.39239025,0.39031383,0.3857392,0.37811342,0.36685762,0.35165182,0.33490637,0.31954524,0.3072418,0.29388687,0.27278242,0.23957878,0.19915152,0.16469342,0.14963572,0.15864414,0.18361269,0.21100736,0.23014867,0.23895586,0.24048018,0.23879807,0.23612475,0.23347314,0.23103368,0.22853877,0.22509594,0.21889128,0.20686503,0.18678652,0.16061026,0.13543779,0.11813474,0.10981023,0.10583395,0.10348108,0.10508654,0.114357956,0.12739076,0.13484754,0.13044742,0.12094882,0.12003865,0.13657774,0.16525213,0.19228764,0.20673133,0.20795304,0.20400561,0.20434807,0.21344353,0.22824568,0.24125837,0.24671905,0.24537891,0.2439063,0.24840005,0.25791937,0.26396424,0.25797567,0.23889111,0.2127394,0.18574636,0.1602329,0.13923556,0.12979941,0.13926078,0.16586198,0.19837745,0.22389098,0.23682992,0.23869155,0.23267901,0.21978666,0.20050943,0.17859274,0.16136281,0.1555947,0.16170806,0.17346062,0.18285163,0.18710206,0.189184,0.19321305,0.19754215,0.1951474,0.17867339,0.14982636,0.12001729,0.10608228,0.117339216,0.1506684,0.19163378,0.22696452,0.25166085,0.26949197,0.28467333,0.29671,0.3005753,0.29036835,0.26368406,0.222389,0.17395842,0.12691478,0.089134865,0.0633071,0.049150795,0.043191988,0.041918013,0.04176498,0.040964648,0.0392026,0.037678476,0.03740957,0.038690504,0.040589016,0.042407025,0.043913245,0.045566916,0.047068138,0.047381025,0.045145035,0.04039101,0.035002448,0.0319595,0.032786157,0.035897493,0.037473273,0.03501216,0.030071309,0.027186058,0.029519984,0.03557104,0.04055978,0.041318502,0.039779786,0.04074091,0.046985116,0.05570363,0.06161506,0.061104584,0.055852234,0.05063169,0.04998125,0.054504413,0.060403276,0.062253673,0.05685236,0.0459677,0.03478514,0.028155943,0.027065001,0.02831231,0.027643338,0.0229687,0.015947735,0.010817952,0.013017965,0.028063001,0.05896773,0.10373523,0.15310945,0.19447307,0.21690612,0.21782799,0.2037242,0.1859734,0.17259914,0.16242121,0.14906089,0.12919359,0.10862722,0.096500784,0.09587332,0.10006434,0.099060774,0.09051343,0.0815159,0.08303852,0.098083474,0.12038324,0.13869286,0.1477106,0.14896058,0.14656068,0.13997917,0.12657094,0.10925353,0.09962731,0.10986104,0.14058934,0.1787932,0.207869,0.22088341,0.22476976,0.23515312,0.26306787,0.30665436,0.34827054,0.36911952,0.36217582,0.33953473,0.3193858,0.31273445,0.31785277,0.3272172,0.33527002,0.3392615,0.33700368,0.32576713,0.3051941,0.28036234,0.25940362,0.24858536,0.24502264,0.23842387,0.21756834,0.18207557,0.14513871,0.12633194,0.136734,0.1698702,0.20594613,0.22599302,0.22436197,0.20899856,0.19136602,0.17545174,0.15743773,0.13423829,0.11196787,0.10285144,0.11370727,0.13769732,0.1585928,0.16451822,0.15704702,0.14842851,0.14945523,0.15981235,0.17037754,0.17268069,0.16865957,0.16627277,0.1715089,0.1801287,0.1848092,0.18213342,0.17817318,0.18082333,0.19409472,0.21420668,0.2356013,0.25569916,0.2787441,0.3103077,0.3509504,0.39012775,0.41267672,0.40889683,0.38430604,0.35400498,0.3318621,0.32012776,0.31263128,0.30209348,0.2881712,0.2745978,0.2650428,0.25635162,0.24383388,0.22488229,0.20428796,0.18669039,0.17228831,0.15580219,0.1347986,0.11495712,0.10776708,0.1213944,0.15363814,0.19231264,0.2239102,0.24091585,0.24433668,0.23848276,0.22610863,0.2070936,0.18255544,0.15986352,0.15380627,0.17699136,0.23037827,0.29543632,0.34863687,0.37302482,0.37280917,0.36226344,0.35675296,0.36012372,0.36837935,0.374572,0.37322354,0.35970357,0.3300675,0.2843978,0.23092753,0.18325198,0.15338403,0.14228086,0.14107119,0.13733853,0.1271699,0.11760353,0.12167749,0.14535661,0.18087183,0.20969021,0.21664242,0.20065904,0.17623472,0.15892993,0.15324503,0.14911352,0.13695958,0.11893783,0.10874093,0.11546942,0.133716,0.14819156,0.14947212,0.14213169,0.13889067,0.14736849,0.16329817,0.17599614,0.17856373,0.1744606,0.1716963,0.1749934,0.1798381,0.17956215,0.1718666,0.16343309,0.16304067,0.17562841,0.19808389,0.22414349,0.24939214,0.2765586,0.3098338,0.35037327,0.38871637,0.4136618,0.41759458,0.4059737,0.3890718,0.376806,0.37068692,0.3681667,0.36552063,0.36115226,0.3528767,0.3370739,0.31039846,0.27411044,0.2351914,0.20175894,0.1770973,0.15737085,0.1370338,0.11531339,0.09924304,0.098841436,0.11939106,0.15636699,0.19700034,0.22811109,0.242881,0.24309975,0.23461859,0.22175525,0.20563275,0.18764134,0.17576124,0.18256885,0.2162839,0.26902625,0.3209261,0.3540244,0.36667308,0.3691269,0.37233976,0.37824094,0.38308665,0.3820443,0.37200058,0.35085785,0.3174773,0.2741456,0.22655648,0.18421747,0.1557373,0.1461076,0.15170944,0.16312106,0.17004712,0.17002888,0.1690054,0.17565258,0.19199051,0.20965056,0.21612583,0.20449613,0.18056333,0.15729755,0.1442738,0.13910408,0.13254051,0.11992579,0.10885957,0.11197276,0.13511026,0.17033446,0.20387127,0.22491133,0.23063435,0.22162135,0.1994483,0.16695233,0.13106002,0.10226983,0.090872906,0.10079946,0.1260319,0.15197462,0.1650893,0.16171259,0.15009578,0.14076966,0.1365542,0.13171141,0.1222015,0.11590844,0.13087599,0.17961915,0.25556806,0.33267987,0.3852534,0.40312424,0.39597037,0.37868074,0.36189672,0.34877035,0.34034827,0.33725086,0.33854568,0.34017983,0.3359587,0.32179317,0.29872704,0.27334794,0.2530339,0.2415753,0.23757608,0.23747231,0.2389847,0.24209504,0.2473547,0.2533256,0.2560288,0.25043586,0.23321372,0.20447719,0.16795196,0.12947087,0.094878435,0.06921529,0.05855721,0.07270904,0.12138617,0.20370887,0.29927263,0.37627938,0.41172516,0.40681407,0.38124862,0.35591388,0.34080246,0.33573905,0.33604106,0.33597875,0.33074465,0.31947216,0.30652943,0.29887033,0.29984656,0.3071452,0.31501615,0.32002172,0.3212258,0.3190644,0.31276384,0.30582476,0.3047103,0.31636837,0.33572248,0.35062826,0.34911036,0.3341308,0.31731665,0.3102288,0.31289992,0.31797972,0.31845263,0.31686512,0.32153332,0.33848253,0.3600458,0.3724663,0.36574957,0.34656045,0.32811674,0.32063058,0.32128963,0.32296908,0.32133487,0.32175252,0.33064422,0.3490771,0.3657649,0.3687925,0.35381404,0.33107665,0.31325695,0.30696392,0.3085774,0.31298032,0.31955802,0.33316472,0.35573688,0.38203144,0.39890587,0.39750573,0.37799063,0.35218325,0.33121997,0.32133043,0.32094958,0.32758746,0.3394244,0.3547896,0.37013018,0.3797324,0.3804802,0.37266958,0.3618015,0.35285327,0.3495386,0.35118926,0.35610557,0.36199585,0.3689411,0.37754723,0.3876913,0.39411807,0.39019492,0.37183055,0.34566045,0.32306373,0.31306997,0.3126274,0.3113298,0.29932106,0.2734509,0.23641182,0.19242255,0.1469098,0.10506952,0.07166388,0.048118223,0.03326973,0.024346659,0.019006483,0.015467987,0.0127112465,0.010210356,0.0079719685,0.0061239447,0.004765305,0.0037914373,0.0030667365,0.0024521209,0.0019136625,0.0014468987,0.001080565,0.00080912584,0.0006161858,0.00046834198,0.00034681836,0.00024296927,0.00016043933,0.000104537125,8.122035E-05]