[5.506998E-05,0.00010113544,0.00053564954,0.0023039712,0.0070575066,0.01649733,0.03143813,0.05111135,0.07367017,0.09712399,0.120197356,0.14248948,0.16412278,0.18510367,0.20458062,0.2208531,0.23236191,0.23904884,0.24279748,0.24629585,0.25143197,0.25834766,0.2653629,0.2695316,0.2671497,0.2556778,0.23514926,0.20912226,0.1823443,0.15862066,0.13919121,0.12396684,0.112611,0.105185516,0.10151163,0.10083807,0.101945095,0.10374999,0.1056028,0.10738956,0.109271675,0.11161489,0.114517115,0.11730436,0.118214995,0.11546135,0.10917636,0.10209218,0.0977886,0.09723181,0.09779533,0.094985634,0.0860854,0.07152726,0.054476585,0.039013438,0.028933154,0.026510471,0.03143132,0.040313717,0.048071906,0.050645515,0.04719943,0.039949875,0.03223883,0.027062373,0.02712804,0.03487931,0.05065356,0.07051051,0.086838566,0.0930222,0.08769097,0.07505833,0.060889143,0.04924698,0.041882377,0.03973943,0.042755667,0.048856046,0.053508222,0.052519783,0.044790227,0.033205226,0.021910122,0.013748211,0.00941619,0.008951213,0.012955417,0.02244153,0.03753808,0.056564778,0.07664587,0.095211655,0.1113551,0.12575716,0.13987993,0.15487613,0.1711458,0.18807548,0.20441584,0.2188221,0.23071331,0.24001394,0.24680007,0.25067097,0.25168347,0.25038046,0.24785261,0.24455912,0.24075818,0.23660617,0.23258977,0.22863883,0.2242343,0.218674,0.21199612,0.20472121,0.19739872,0.18999279,0.1820194,0.17320885,0.16388167,0.1548776,0.14674117,0.13987434,0.13501696,0.13318753,0.13398898,0.13464592,0.13210653,0.12694179,0.12403736,0.12825447,0.13820104,0.14573349,0.14124627,0.12152663,0.09153521,0.06105644,0.038323205,0.027323568,0.027655324,0.036542237,0.049945682,0.06394252,0.075344324,0.082322896,0.08427632,0.08207974,0.07796007,0.07495064,0.07533621,0.079419136,0.085298695,0.09009079,0.09157199,0.08917838,0.084166534,0.07890277,0.07626223,0.078276314,0.08521089,0.0948417,0.10405225,0.11069947,0.11522027,0.11925977,0.12404937,0.12894814,0.13264589,0.13371967,0.13145472,0.12540959,0.116630696,0.10783125,0.10281605,0.10397196,0.11107686,0.12176057,0.13352713,0.14506298,0.1565441,0.16877882,0.1823258,0.19671981,0.21053226,0.2218825,0.22941865,0.23298764,0.23349392,0.2318242,0.22789477,0.22117591,0.21250784,0.20485546,0.20152839,0.20317514,0.20731707,0.21085183,0.21265478,0.21333756,0.21286203,0.20952685,0.20050378,0.18440466,0.16248006,0.13956149,0.12124631,0.11138663,0.1094201,0.11218488,0.11568295,0.117400385,0.11622927,0.113092005,0.110000215,0.108807325,0.108727925,0.106604256,0.09881968,0.084575795,0.066214964,0.047935408,0.033479046,0.025523923,0.025607219,0.033807084,0.048056144,0.064230055,0.078100346,0.08751268,0.09332925,0.098159514,0.1043104,0.112597406,0.12230727,0.13213009,0.14058404,0.14646198,0.14889967,0.14817831,0.14577512,0.1437583,0.14296587,0.14245336,0.14034416,0.13577469,0.12903325,0.12057947,0.10993394,0.09687414,0.08249668,0.06924703,0.05877134,0.051018838,0.04500386,0.04084353,0.04014708,0.04479788,0.055136215,0.06963023,0.08578247,0.10159212,0.116272986,0.13014485,0.14405984,0.158728,0.17449008,0.19120152,0.20829372,0.22470902,0.2391059,0.2504379,0.2584064,0.26340637,0.26602498,0.266831,0.26659188,0.2660686,0.26553833,0.26439157,0.261968,0.25846365,0.25476584,0.25129205,0.24663208,0.23829764,0.22368778,0.20256959,0.17734905,0.15326671,0.1350462,0.12487533,0.120976456,0.12040171,0.12100685,0.122375935,0.12375604,0.12361449,0.120526515,0.11535061,0.11082839,0.109899014,0.11386915,0.12248423,0.13438486,0.14723891,0.15783037,0.16331738,0.16308999,0.159143,0.15398443,0.14790465,0.13900106,0.12617487,0.11179853,0.10095215,0.09793482,0.10443161,0.11962235,0.14242166,0.17101592,0.20268075,0.23231804,0.25488624,0.2673315,0.2704256,0.26666442,0.2582358,0.24634837,0.23292083,0.2214783,0.21576713,0.21712808,0.22302826,0.22841495,0.22798254,0.21801873,0.19756703,0.16916585,0.13987891,0.11769404,0.108602695,0.112229735,0.12553506,0.14420462,0.16587554,0.18738566,0.20532233,0.21649396,0.2201588,0.21790396,0.21210994,0.20492041,0.19832253,0.19433469,0.1938277,0.19486606,0.19342034,0.18589664,0.17202842,0.15544216,0.14246379,0.13888995,0.14560024,0.15673529,0.16290401,0.1589608,0.147224,0.13456686,0.12515701,0.11830411,0.11060649,0.100221135,0.08796682,0.07667888,0.06909544,0.06653116,0.06781041,0.07024381,0.0711281,0.06939685,0.06559353,0.061112016,0.05729829,0.055040956,0.05463465,0.055805117,0.05794561,0.060422838,0.06268411,0.064161636,0.0647149,0.065483995,0.06986704,0.08221817,0.104854174,0.13505922,0.16601741,0.19162329,0.21036915,0.22498478,0.23736048,0.24643862,0.24980532,0.24830703,0.24514078,0.24241781,0.23790501,0.22872378,0.21558344,0.20325689,0.19578214,0.19248517,0.19002981,0.18618125,0.18318385,0.1852219,0.1954143,0.21201418,0.2289939,0.2383939,0.23418768,0.21464087,0.18347472,0.14978842,0.1259338,0.12247703,0.1424392,0.178492,0.21693331,0.24506624,0.25740448,0.25540963,0.24324097,0.22424348,0.20082861,0.17673625,0.15724479,0.14775176,0.1507866,0.16451491,0.18291706,0.19804822,0.20353384,0.1972344,0.18274827,0.16826339,0.1628738,0.17062293,0.1866563,0.19978428,0.20060585,0.18781362,0.1674865,0.14681517,0.12976882,0.117137276,0.10945628,0.10815955,0.11456894,0.12749416,0.14272833,0.15410389,0.15724157,0.15112668,0.13891457,0.12476581,0.11251167,0.10392144,0.09978131,0.09982408,0.103039086,0.10754267,0.11107415,0.11226916,0.11091906,0.10817903,0.10528815,0.10345904,0.10327504,0.10508397,0.10855582,0.11238563,0.114346184,0.11267542,0.10876667,0.10776747,0.11598202,0.13574554,0.16359475,0.1921599,0.2145528,0.22657908,0.22823341,0.22328234,0.21780609,0.2163765,0.21968894,0.22469698,0.22686529,0.22144604,0.20537041,0.17933406,0.15081155,0.13122253,0.12975918,0.14583853,0.16961014,0.18874796,0.1969148,0.19646727,0.19489884,0.19862054,0.20879662,0.22067358,0.22743936,0.22490937,0.21462788,0.2020958,0.19260056,0.18839578,0.18889964,0.19263081,0.19817924,0.2040598,0.20883842,0.2113332,0.21125686,0.20856042,0.20381665,0.19847591,0.19591218,0.1998126,0.21076973,0.22376712,0.22958438,0.2214175,0.19931543,0.17159079,0.14949557,0.14221124,0.15172261,0.17263617,0.19492716,0.21013556,0.21493377,0.21190752,0.20468508,0.19503522,0.18057524,0.15920182,0.13194527,0.10554107,0.08900068,0.08964815,0.108782314,0.14084662,0.1754189,0.20247956,0.21643704,0.21765755,0.20952214,0.19613387,0.18065353,0.16597044,0.15433548,0.14690201,0.14324248,0.14171587,0.14111665,0.14148933,0.14505978,0.15456428,0.17192467,0.19597034,0.22200589,0.2429672,0.2523949,0.24866848,0.23564787,0.22077532,0.20974171,0.20468378,0.20416255,0.20585562,0.20764135,0.2085501,0.20862515,0.20854348,0.20808195,0.20489924,0.1945467,0.17409821,0.14576317,0.118698455,0.103115,0.10436144,0.11930988,0.14140187,0.1649128,0.18619563,0.20158605,0.20743363,0.20401274,0.19619898,0.19116877,0.19205214,0.19691943,0.20062979,0.20026338,0.19658853,0.19348471,0.1937222,0.19724745,0.20121987,0.20403828,0.20707665,0.21349955,0.22383113,0.23434883,0.23933785,0.2349583,0.22104768,0.2010469,0.18119943,0.16854404,0.16705473,0.17487504,0.18618329,0.1959288,0.2029198,0.20787413,0.21111502,0.21157046,0.2083609,0.200619,0.18799599,0.17170298,0.15652506,0.14936313,0.15438883,0.16931485,0.18591177,0.19596487,0.19557075,0.18681635,0.17435826,0.16237558,0.1527735,0.14624606,0.14368112,0.14645119,0.15450148,0.16527511,0.17358719,0.17548077,0.16999573,0.16129303,0.15552494,0.15869129,0.17154954,0.18902309,0.20172061,0.20278068,0.19196169,0.17571706,0.16182965,0.15535899,0.15725875,0.1665069,0.18116622,0.1991232,0.21729897,0.23244095,0.24167877,0.24333513,0.23643142,0.22035961,0.19856896,0.18200512,0.19075088,0.23835063,0.31895342,0.39958718,0.44553062,0.4404694,0.3987148,0.34461772,0.29695997,0.26127213,0.23764618,0.22641557,0.22736818,0.23830505,0.2533429,0.26733103,0.27749178,0.28536716,0.2933509,0.30299124,0.31392968,0.32556915,0.33641657,0.34370527,0.34329045,0.33372617,0.31777257,0.301846,0.2909828,0.2863588,0.28571528,0.2862768,0.2873858,0.2896247,0.2935848,0.2980721,0.30165866,0.30407715,0.3064743,0.3100098,0.31430867,0.3197917,0.33028638,0.3519652,0.38612565,0.42098176,0.43730068,0.42073885,0.3761764,0.32147375,0.2758599,0.2482832,0.24140687,0.25835788,0.30119416,0.36261055,0.4189818,0.44413695,0.42564508,0.376078,0.3189344,0.2737564,0.24650584,0.23607935,0.23883533,0.24925797,0.25815618,0.25597364,0.23992811,0.21570648,0.19365774,0.18068655,0.17749268,0.17887305,0.17914708,0.1761648,0.17350708,0.17597161,0.18512063,0.19704948,0.20678186,0.2108494,0.20925112,0.20563392,0.20963351,0.23570114,0.2922527,0.3705578,0.4420675,0.47857666,0.4710327,0.43633458,0.3985046,0.37209055,0.35633883,0.34529686,0.33491278,0.32475206,0.31462502,0.3043213,0.29445037,0.28727734,0.28499672,0.28799832,0.2948861,0.30419073,0.31600037,0.32953596,0.34131584,0.34432495,0.33438587,0.31293467,0.28750172,0.26466456,0.24719177,0.23368697,0.22275712,0.21462195,0.21096267,0.21221857,0.21659541,0.22048688,0.22206688,0.22279859,0.22700934,0.23804992,0.2572542,0.2858459,0.3251526,0.37255707,0.41384923,0.42963266,0.4070039,0.35426462,0.2913597,0.23752017,0.19996352,0.18378915,0.19828515,0.25068018,0.3304563,0.40427807,0.43771043,0.4178419,0.36246276,0.2997425,0.24997519,0.21784306,0.20210814,0.20128663,0.21202463,0.22484826,0.22681028,0.21213615,0.18706535,0.16584851,0.15805106,0.16295458,0.17249973,0.17988412,0.18366688,0.18532114,0.18522741,0.18129869,0.17125666,0.15583314,0.13929145,0.12898605,0.13244586,0.15692377,0.20727067,0.28126085,0.364284,0.43035874,0.4581171,0.44435945,0.40705582,0.3678489,0.33950958,0.32195377,0.3115603,0.3052125,0.301977,0.30040202,0.29949644,0.29856983,0.29755273,0.2958316,0.29241788,0.2877052,0.28422797,0.28614905,0.29349616,0.30089915,0.29858652,0.28258052,0.25720662,0.23321186,0.21738745,0.20927031,0.20387651,0.19756044,0.19087116,0.18576194,0.18350743,0.18266352,0.18137604,0.17938496,0.17955203,0.18585598,0.20086657,0.22528587,0.26113057,0.30980244,0.36780062,0.41810966,0.43978667,0.41932306,0.366092,0.30156738,0.24765636,0.21422559,0.20611118,0.22848158,0.28296515,0.3571247,0.4202485,0.442783,0.4146364,0.3535333,0.28511232,0.22747952,0.18537146,0.16130942,0.15897284,0.17790772,0.20657271,0.22646838,0.22610343,0.20797503,0.1850182,0.16797765,0.16063242,0.16031332,0.16362907,0.1679442,0.17253451,0.17731781,0.18241294,0.18652587,0.18724547,0.18176293,0.16939212,0.1548991,0.15093113,0.17601241,0.24088752,0.33667073,0.43126512,0.4914689,0.50194263,0.4739206,0.427133,0.3765976,0.32798535,0.28627935,0.25779876,0.24663208,0.24916439,0.255705,0.25662854,0.2483849,0.23384188,0.2182977,0.20638283,0.20149927,0.20795463,0.22606917,0.25016806,0.2668536,0.26782358,0.2541035,0.23736621,0.22666532,0.22461872,0.22721337,0.23139322,0.23705049,0.2460608,0.25858065,0.2718952,0.281917,0.28743502,0.2918192,0.30174258,0.32087874,0.3484709,0.38139603,0.41905007,0.4593488,0.4917284,0.4988887,0.46920297,0.41012323,0.34200218,0.2850257,0.24900167,0.23887272,0.2611417,0.31678107,0.39173713,0.45208526,0.46763292,0.4300692,0.36141893,0.2914746,0.24037854,0.2114935,0.20129329,0.20469283,0.2141071,0.21735416,0.20314594,0.17024033,0.12991653,0.09882435,0.08791142,0.0975072,0.11918483,0.14187412,0.15688951,0.16117013,0.15699881,0.14932096,0.14209281,0.1368291,0.13383205,0.13397312,0.14137341,0.1631562,0.20886356,0.2797542,0.3625015,0.4277098,0.45082256,0.42823163,0.38133892,0.33671737,0.30864885,0.2954494,0.28821778,0.2801987,0.26849118,0.2537414,0.23823524,0.22459435,0.21405333,0.20588197,0.19887127,0.19352847,0.19315954,0.20288211,0.22340949,0.24848104,0.2648257,0.26391837,0.24614619,0.22163749,0.19915874,0.18271767,0.17145264,0.16495365,0.16488813,0.17302941,0.18852235,0.2059801,0.21883504,0.22392274,0.22551413,0.23260604,0.2523997,0.28520653,0.32685432,0.37337184,0.42091396,0.4584212,0.46853295,0.4381157,0.37412238,0.29995474,0.24158424,0.21206391,0.21453659,0.249601,0.31461388,0.39482796,0.45913783,0.47850063,0.444389,0.37608728,0.3008398,0.23738027,0.19081707,0.16325098,0.15749116,0.17244911,0.1968676,0.21463011,0.21645886,0.20628877,0.19489445,0.18941258,0.18879288,0.18808319,0.18395014,0.17675532,0.16891587,0.16290092,0.1601159,0.15981884,0.15939933,0.15554063,0.14783137,0.14182293,0.15010142,0.18825547,0.26318556,0.36264512,0.45420948,0.5049288,0.5025619,0.4634271,0.41610694,0.38111725,0.36271176,0.3543968,0.348785,0.34112287,0.3303313,0.3168496,0.30223486,0.28755906,0.27356192,0.2605132,0.2500415,0.2453609,0.25109494,0.2670671,0.28699183,0.29867038,0.2959092,0.28082407,0.26380578,0.25174364,0.24609137,0.24296741,0.23930393,0.23382218,0.22706026,0.21980529,0.21265139,0.20637898,0.20319118,0.20745176,0.22284776,0.24868536,0.27934432,0.31206754,0.34985268,0.39609405,0.43891275,0.4552512,0.42635214,0.3607302,0.28546563,0.22894984,0.2018354,0.20482422,0.2379535,0.3005962,0.3796465,0.44428793,0.4651122,0.434325,0.37374023,0.31328318,0.27225927,0.25192794,0.24709797,0.25282076,0.26454362,0.2737538,0.271016,0.25315037,0.22623396,0.20103239,0.18433999,0.1763563,0.17255248,0.16935247,0.16599931,0.16478182,0.16782103,0.1745851,0.18066758,0.18020475,0.16993846,0.15142739,0.12955248,0.10912898,0.093204014,0.08372688,0.08196484,0.08793088,0.0995226,0.11371666,0.12816884,0.14226238,0.15607037,0.16954006,0.18160176,0.19099784,0.19626634,0.19685628,0.19281912,0.18571745,0.17763413,0.17114596,0.16744928,0.16641606,0.16576205,0.16313095,0.157075,0.14890188,0.14124109,0.13645262,0.13491376,0.13549979,0.13692014,0.1383502,0.13951242,0.14037837,0.14158286,0.1441159,0.14842235,0.15362467,0.1581115,0.1610821,0.16267951,0.1630959,0.16130002,0.15615654,0.14801781,0.13984932,0.1361718,0.14077534,0.15476424,0.17493404,0.19486715,0.20745109,0.20958538,0.20354031,0.19480334,0.186994,0.1798592,0.171338,0.16167945,0.15464646,0.15531269,0.16497393,0.18013662,0.19472568,0.2072659,0.22141552,0.24278124,0.27074718,0.29860795,0.31725347,0.3225677,0.31609997,0.30340946,0.2895473,0.27751115,0.26844049,0.26336917,0.26414895,0.27154455,0.28355148,0.29525325,0.3020458,0.30169067,0.29419696,0.28046396,0.264123,0.25449613,0.2672486,0.31272578,0.3845565,0.45429707,0.49122122,0.48158875,0.4389296,0.38809475,0.3486513,0.32658926,0.31920254,0.32173803,0.32917583,0.33709526,0.34056798,0.33631584,0.32241964,0.30026802,0.2733837,0.24842583,0.23305488,0.2344507,0.25231528,0.27759674,0.29450753,0.29373312,0.2767795,0.25507748,0.23781021,0.22750531,0.2204582,0.21294858,0.20455748,0.19794971,0.19609956,0.1995955,0.20597844,0.2130524,0.22143513,0.23606236,0.26091167,0.29687932,0.34044945,0.38764083,0.43138325,0.45894635,0.45478675,0.4123081,0.34442654,0.27630866,0.23031266,0.21388201,0.22567277,0.26520565,0.3306768,0.40917686,0.47014093,0.48562548,0.4485275,0.3815705,0.31485555,0.26879016,0.24554332,0.24037659,0.24687968,0.2595645,0.2704202,0.27300212,0.265283,0.25194904,0.23873496,0.22847505,0.21903129,0.20770651,0.19426309,0.18213741,0.1741984,0.16934042,0.16192785,0.14730257,0.12761146,0.113061346,0.11492392,0.13896547,0.18333007,0.24520393,0.31956145,0.39528942,0.44963112,0.46209303,0.42952374,0.3722254,0.3171703,0.2809715,0.26367155,0.2574567,0.25438133,0.2505857,0.2442006,0.23558469,0.22514325,0.21535788,0.20938386,0.2122906,0.2267509,0.25210285,0.28279188,0.31070647,0.32721734,0.3252137,0.30384323,0.26958033,0.2361206,0.21581097,0.21393967,0.22552896,0.24097644,0.2537162,0.2639093,0.27608216,0.29155552,0.3068984,0.31618473,0.31849447,0.31839588,0.32264718,0.33467785,0.35540655,0.38589558,0.42555514,0.46558523,0.48962846,0.48410282,0.45110825,0.40508413,0.36174706,0.32868955,0.3104895,0.31539735,0.34906054,0.4029278,0.44735014,0.45291218,0.4102317,0.33984992,0.2709107,0.2235509,0.20108761,0.19986303,0.21390784,0.23519725,0.251807,0.25401175,0.24067877,0.22002946,0.20187198,0.19043602,0.18352483,0.17689699,0.16829263,0.15815373,0.14865005,0.14204405,0.1394284,0.13990384,0.14156018,0.14299203,0.1444097,0.1491903,0.16519678,0.20438653,0.2721726,0.3573573,0.43004552,0.46275604,0.4486843,0.40722713,0.3633754,0.33251104,0.31435537,0.3032248,0.2933309,0.2820759,0.2679772,0.25080806,0.23128672,0.21177484,0.19622289,0.18903016,0.19314472,0.20826644,0.23155351,0.2568201,0.27715778,0.28513864,0.28013316,0.26659188,0.2534249,0.24417369,0.23828106,0.23270059,0.22803293,0.22659035,0.22945015,0.2343164,0.23750322,0.2372194,0.23492903,0.23513453,0.2419749,0.25739178,0.27966866,0.30956125,0.349089,0.39857003,0.4433943,0.46151844,0.4359101,0.3744988,0.30146345,0.24280255,0.21074606,0.2089156,0.23956573,0.3009852,0.3787725,0.44162664,0.46124956,0.42997125,0.36815926,0.30366036,0.25551435,0.22761859,0.21829909,0.22410633,0.23873794,0.25049967,0.24809887,0.22788025,0.19717123,0.16892658,0.15439995,0.15679944,0.17081665,0.18634528,0.19541137,0.19624735,0.1919172,0.1858808,0.17906718,0.17157485,0.16391514,0.15762876,0.15566088,0.16573389,0.20071392,0.2677916,0.3558598,0.43308413,0.4694084,0.45647264,0.41346475,0.36590528,0.33042023,0.30797318,0.2936057,0.28088808,0.26678917,0.2502811,0.23336588,0.21869761,0.20885424,0.20491284,0.20636763,0.21237652,0.22279613,0.23982619,0.26327085,0.28898886,0.30638564,0.30809227,0.2927139,0.26824573,0.24308614,0.22300915,0.20825803,0.1968918,0.18724328,0.17881949,0.17258395,0.169456,0.17084259,0.17836289,0.19427872,0.21971142,0.25295508,0.28936765,0.32656562,0.36591566,0.40881786,0.4447775,0.45509622,0.4248931,0.36119136,0.28589252,0.2222297,0.18141444,0.16901542,0.19198458,0.252829,0.3377775,0.41085485,0.43770206,0.40648833,0.33822373,0.26348582,0.20458835,0.16737378,0.15209824,0.15658237,0.17492998,0.1935934,0.19921751,0.1874174,0.16621321,0.1468877,0.13493751,0.12792745,0.12220406,0.118705004,0.12302625,0.13898872,0.16441159,0.1912595,0.21234417,0.2246921,0.2299888,0.2310784,0.23292762,0.24440373,0.27736878,0.33623472,0.40873727,0.46733618,0.48810375,0.46734092,0.42256942,0.37621972,0.34126207,0.31977603,0.30841625,0.3034505,0.30072856,0.2970862,0.29050097,0.28091493,0.26935688,0.25863522,0.25231412,0.2536696,0.2635207,0.28094423,0.30138204,0.31792405,0.32133687,0.30832276,0.28261796,0.2550077,0.23347436,0.22087175,0.21427344,0.20998931,0.2055928,0.20096354,0.19835295,0.20031448,0.20836939,0.2213828,0.2381583,0.25801033,0.28085914,0.3056828,0.33377302,0.36834395,0.41041622,0.44823802,0.46260977,0.43902996,0.38469055,0.32147142,0.273195,0.25229356,0.2627362,0.30461842,0.37124065,0.4444113,0.4952383,0.5024349,0.46529463,0.40445694,0.34300622,0.29316974,0.25529563,0.22859216,0.21493362,0.21501891,0.2217242,0.22392763,0.21481644,0.19769181,0.18134539,0.17207102,0.17023025,0.17229073,0.17525418,0.1776881,0.17958657,0.1811562,0.1825443,0.18373965,0.18418205,0.1828618,0.17879595,0.17476434,0.18015848,0.21003783,0.2723237,0.3563554,0.43144783,0.4680771,0.45709518,0.41517535,0.36706567,0.3292816,0.30485037,0.28973687,0.27981612,0.27217516,0.26611432,0.2613831,0.2588097,0.2577286,0.25724697,0.25629637,0.25611272,0.25879323,0.266919,0.2786334,0.28833959,0.28697813,0.2718854,0.24778812,0.22594799,0.2131244,0.20929877,0.20903318,0.20793806,0.20460355,0.19929601,0.19202274,0.1818527,0.16888751,0.1564136,0.15221502,0.16520299,0.199558,0.25069964,0.3101462,0.3709973,0.42903015,0.47301516,0.48623648,0.4553562,0.38775656,0.30663258,0.23911165,0.20066154,0.19786634,0.23309706,0.30194888,0.3852189,0.44753385,0.45897868,0.41431245,0.33835092,0.2633008,0.20929283,0.17814821,0.16534807,0.16764778,0.18329854,0.20513196,0.22244264,0.22632706,0.21663345,0.19886951,0.17928682,0.16062528,0.14342138,0.12831914,0.11750092,0.11386206,0.118736304,0.1298048,0.1420222,0.15039773,0.15307294,0.15133832,0.1509425,0.16203994,0.19791734,0.26258373,0.3430023,0.4091458,0.43676457,0.4214728,0.3823239,0.34164524,0.31370366,0.2994893,0.2945588,0.2925183,0.2886623,0.28082335,0.26982558,0.25766835,0.24529906,0.23297577,0.22148941,0.21395493,0.2143365,0.22617227,0.24720906,0.2693533,0.27947637,0.27046826,0.2440684,0.21156669,0.18345265,0.16646197,0.16119795,0.16532083,0.17382546,0.18201633,0.18715186,0.18975641,0.19218446,0.19789858,0.21119718,0.23466702,0.26694956,0.30245414,0.3393854,0.38061973,0.4287347,0.47139606,0.48709336,0.4588438,0.3937153,0.31427714,0.24464673,0.19717018,0.17946516,0.20063996,0.26414892,0.35442796,0.43236765,0.46059868,0.42716774,0.35423014,0.27411175,0.20922531,0.16560115,0.14439715,0.14630337,0.16822578,0.19740073,0.21713626,0.21770038,0.20278627,0.18421896,0.17162065,0.16765781,0.1694988,0.17383303,0.1779479,0.18023898,0.1795572,0.17650975,0.1733201,0.17234653,0.17384583,0.175229,0.17633821,0.18421085,0.21435554,0.2756345,0.3583612,0.43117794,0.46549717,0.45350006,0.4137816,0.37030402,0.3380458,0.31793264,0.30560055,0.29651296,0.2878047,0.27775493,0.266099,0.25442407,0.2445864,0.23722547,0.23073673,0.22418042,0.21949668,0.22307837,0.23836307,0.26178196,0.2800306,0.28268898,0.26762563,0.24417417,0.22172445,0.2058121,0.19654466,0.1930572,0.19444574,0.1989759,0.20439862,0.20818885,0.21026361,0.2130173,0.2224481,0.24219175,0.27155128,0.30336452,0.3357884,0.3719271,0.41689432,0.4599882,0.48160252,0.4653847,0.4171619,0.35567617,0.29918134,0.25626898,0.23413081,0.24507646,0.29573414,0.3723714,0.43647066,0.45134923,0.40629637,0.32431337,0.23842604,0.17134362,0.12972498,0.11485753,0.12713103,0.16257407,0.20677686,0.24131636,0.25415507,0.247777,0.23313278,0.22055107,0.21330033,0.2093278,0.20516874,0.1978694,0.1857032,0.16808905,0.14710815,0.12687968,0.111709006,0.10272771,0.09791228,0.097706996,0.11051518,0.1519881,0.22869186,0.3266677,0.41115007,0.45310903,0.44566262,0.40770093,0.36132452,0.32001564,0.28517666,0.25619984,0.2333641,0.21751763,0.20679735,0.1975276,0.18666233,0.17456956,0.16501123,0.16308995,0.17257984,0.1939171,0.22441764,0.25691557,0.28195372,0.2891293,0.27478442,0.24278563,0.20456241,0.17107733,0.14977962,0.14195736,0.14437778,0.1516178,0.1585686,0.1631797,0.16496928,0.16481656,0.16413863,0.16742605,0.18111129,0.21010512,0.25429106,0.31053928,0.37437811,0.43831766,0.48519024,0.49505672,0.4572372,0.38403046,0.3008644,0.2324058,0.19132422,0.18395947,0.21553178,0.2828785,0.36570522,0.4262712,0.43556783,0.3911407,0.3191699,0.24851638,0.19484548,0.15999411,0.14529501,0.15367056,0.18333238,0.22067046,0.24841863,0.25647563,0.24893886,0.23580919,0.22512686,0.2185158,0.21543163,0.21508725,0.2170983,0.21993339,0.22244324,0.22475554,0.22830655,0.23263806,0.23435779,0.22942735,0.2199829,0.21768057,0.23952384,0.29354236,0.36834538,0.435115,0.46734726,0.45775554,0.42100516,0.37926736,0.34744784,0.32904008,0.3190955,0.31185794,0.30289558,0.29268146,0.2829988,0.2763495,0.272014,0.26884,0.26554623,0.26399192,0.2668402,0.2764444,0.28938344,0.29758266,0.2910895,0.26773453,0.23442547,0.2043073,0.18673491,0.18411243,0.1923461,0.20576356,0.21952015,0.23054568,0.23714827,0.23785323,0.23227443,0.22298096,0.21856833,0.22972383,0.26186913,0.30982602,0.36447656,0.41961864,0.4709505,0.50590837,0.50687367,0.46491885,0.3933914,0.3182583,0.26209998,0.23429453,0.23789354,0.2750342,0.3409756,0.41658542,0.4696654,0.4767631,0.4363182,0.3700186,0.30248225,0.25106555,0.22216372,0.21776016,0.23312736,0.25702226,0.27284476,0.2699043,0.24841522,0.21923284,0.19370133,0.17738174,0.16869503,0.16337484,0.15866645,0.15475653,0.15277407,0.15171689,0.1473426,0.13555653,0.11586819,0.09255323,0.07180684,0.061923955,0.074635155,0.12376964,0.21263826,0.32267568,0.41624013,0.4608283,0.4503905,0.40624198,0.356315,0.31723702,0.29132393,0.27538443,0.26745677,0.26747575,0.27418447,0.2839578,0.29178536,0.29373336,0.28751424,0.27280095,0.2521914,0.23269385,0.22461778,0.23347443,0.25491104,0.27432927,0.2799376,0.26922026,0.2507396,0.23338266,0.22183013,0.21507174,0.21112972,0.20866786,0.20680124,0.20368896,0.19706154,0.18748786,0.18062393,0.18632656,0.2111394,0.25320625,0.30231062,0.3508921,0.39738202,0.44160315,0.4714733,0.46846008,0.42254367,0.3470346,0.26807848,0.20763464,0.17401089,0.17072071,0.20425266,0.2750566,0.3642964,0.43177924,0.44389844,0.39575902,0.3149378,0.2345349,0.17495531,0.14168137,0.13682912,0.16023028,0.20387463,0.24892747,0.2772751,0.28270897,0.27452353,0.26635066,0.2666857,0.27464357,0.28464106,0.29087046,0.28977072,0.27933195,0.25775844,0.22539145,0.18696733,0.15316162,0.1340365,0.13441302,0.15266453,0.18867369,0.2457001,0.32340646,0.4067317,0.466967,0.4800532,0.44461071,0.38379002,0.32753757,0.29372087,0.28272012,0.28379336,0.28618887,0.28388155,0.27662745,0.2663646,0.2550352,0.24405086,0.23545511,0.23220712,0.23698165,0.2500428,0.26991352,0.291744,0.31000438,0.31672072,0.3087285,0.28713834,0.2612585,0.24114472,0.23538755,0.24518698,0.26533878,0.28647208,0.2995071,0.2987002,0.28160378,0.25159678,0.21920489,0.20239045,0.21510576,0.2581081,0.3156236,0.37151495,0.4182255,0.45660308,0.47924998,0.47226882,0.42652878,0.3539381,0.27857122,0.22195987,0.1926297,0.19337864,0.22807753,0.2946061,0.37468433,0.4323802,0.4389658,0.39126143,0.31443036,0.23768805,0.17841719,0.14092158,0.12802911,0.14244185,0.18079394,0.22740269,0.26388618,0.2794878,0.2779305,0.267367,0.25284955,0.2332188,0.2084738,0.18458445,0.17158063,0.17684649,0.19831449,0.22692607,0.25200224,0.26915398,0.27963346,0.28776017,0.2980739,0.31685016,0.35273632,0.407694,0.4688829,0.5079278,0.5020767,0.45045367,0.37736854,0.31155315,0.26968005,0.25087163,0.2463458,0.24866422,0.25543734,0.26632342,0.2787057,0.28680062,0.28495467,0.27119663,0.24800648,0.22106832,0.19848049,0.18982863,0.20008506,0.22418825,0.24593504,0.24997163,0.23185837,0.20158605,0.17405586,0.15963876,0.15982872,0.16905695,0.17992741,0.18692978,0.18925858,0.18934442,0.19081657,0.19684578,0.21110474,0.23686989,0.27529404,0.32303515,0.37667558,0.43170106,0.48083663,0.50656503,0.49226865,0.43409243,0.35051632,0.26747647,0.2040988,0.16748132,0.16247267,0.19664764,0.26911655,0.3591821,0.42699924,0.44089282,0.39614797,0.31770438,0.23586535,0.17111285,0.13101013,0.11987803,0.13854663,0.17926614,0.22126631,0.24252683,0.23247087,0.19974892,0.1613835,0.13180421,0.11521252,0.10936449,0.10923269,0.11018885,0.1084325,0.10198494,0.09152015,0.080269836,0.072705746,0.071904086,0.07754477,0.08551844,0.09046624,0.0894219,0.084097944,0.07928192,0.07916223,0.08449095,0.09311799,0.10208734,0.109330855,0.11411991,0.116693534,0.117906,0.11826891,0.11795637,0.11704936,0.11630421,0.11667695,0.118790574,0.12297386,0.12930472,0.13714223,0.14390521,0.14634174,0.14270623,0.1347667,0.1259099,0.11847425,0.11215874,0.10558501,0.098167144,0.090782754,0.0849295,0.081781626,0.08187601,0.0849267,0.08997782,0.0953564,0.099632256,0.10199898,0.10284855,0.102565765,0.10116566,0.09806443,0.09384946,0.09047872,0.090698935,0.095506884,0.103817046,0.11292106,0.12071379,0.126108,0.12928045,0.13063598,0.13064002,0.12956041,0.12782942,0.12599751,0.1245461,0.12370482,0.123753764,0.12526272,0.12919438,0.13584603,0.14495365,0.15499818,0.16526543,0.17535566,0.18663539,0.19936474,0.21287541,0.22408043,0.23029225,0.22997148,0.2242675,0.21604925,0.20914014,0.20616114,0.20678711,0.20793553,0.20655872,0.20266968,0.19864757,0.19628273,0.1954187,0.19801186,0.21265443,0.25214875,0.3206147,0.40248463,0.46641746,0.48689416,0.46254852,0.41486037,0.36961398,0.33978096,0.32458654,0.31657258,0.31072015,0.30542028,0.3018835,0.3002868,0.29831466,0.2918948,0.2781555,0.2581326,0.23709442,0.2228248,0.22255582,0.2363494,0.25531957,0.26383087,0.25287008,0.22492038,0.19310987,0.16836186,0.15447553,0.14855343,0.14771487,0.15213317,0.1625639,0.176745,0.18737768,0.18827586,0.18033509,0.1745189,0.1831268,0.21103446,0.25236928,0.30052552,0.3527007,0.4062817,0.44631967,0.4519514,0.412239,0.34171805,0.26859787,0.21662883,0.19366522,0.20016621,0.23701583,0.30060184,0.37375882,0.42517936,0.4312849,0.39149806,0.33027372,0.27461785,0.23959042,0.22548313,0.2287273,0.24520846,0.26849923,0.2865301,0.28892952,0.27363732,0.24900772,0.22494496,0.2063028,0.19192906,0.18028116,0.17364593,0.17720471,0.19317694,0.21618323,0.23409851,0.23588718,0.21779399,0.18480425,0.1467065,0.116814695,0.11170429,0.14723645,0.2263962,0.32980826,0.4216561,0.47198555,0.47542644,0.44984055,0.4178699,0.39159715,0.3717798,0.35649636,0.34626377,0.3425794,0.3440722,0.34655297,0.34619334,0.34158382,0.33370423,0.32322326,0.3119314,0.30270672,0.30063736,0.30628765,0.3144777,0.31459555,0.3012593,0.2764618,0.24902903,0.22539239,0.20809259,0.19625933,0.19038244,0.19278353,0.20558189,0.22660749,0.24837399,0.2626095,0.26750103,0.27021047,0.27956274,0.2983717,0.32206264,0.35004225,0.38543093,0.42876554,0.46256495,0.4636897,0.4197314,0.34541145,0.26750124,0.20845212,0.17695154,0.17717361,0.21463205,0.2875966,0.37563944,0.4399191,0.44886383,0.3989307,0.31759572,0.23974144,0.18831134,0.1690522,0.17872997,0.21011436,0.2518302,0.28790566,0.30471602,0.29786968,0.27492818,0.24820016,0.2278818,0.21773235,0.21641739,0.21931148,0.22106104,0.21780115,0.2097786,0.20154029,0.19935475,0.20577307,0.21632467,0.2232462,0.22481225,0.23275797,0.26531312,0.33016852,0.41039944,0.4726095,0.49045503,0.4644991,0.41757068,0.37541857,0.34923247,0.33656156,0.32959676,0.32425806,0.3197933,0.31688666,0.31444132,0.3101438,0.3017268,0.28864864,0.27264258,0.25786844,0.2500674,0.25497922,0.27267146,0.2959298,0.31095907,0.3080531,0.2859604,0.25375673,0.2226636,0.2015966,0.1939617,0.19857651,0.21151118,0.22721733,0.2406104,0.24733572,0.24605995,0.23900896,0.23221613,0.2312638,0.23969722,0.25870892,0.29352844,0.3478886,0.41731572,0.4776287,0.5008288,0.4724562,0.4070078,0.33164576,0.26917365,0.22947313,0.21865843,0.24438302,0.30541658,0.38130972,0.4343617,0.43622068,0.38616732,0.31160265,0.2440375,0.20249186,0.18999803,0.20261234,0.23221065,0.2669051,0.2909464,0.29402885,0.276306,0.24889214,0.22374521,0.2077208,0.20070334,0.20008047,0.20365192,0.21053535,0.2198232,0.22922766,0.23536022,0.234823,0.22576648,0.2078594,0.18406689,0.16399841,0.16589212,0.20929193,0.2976694,0.40605053,0.48959747,0.5127575,0.47424063,0.4036652,0.337479,0.29467383,0.27562925,0.27154568,0.27595592,0.2849919,0.29532632,0.3021946,0.30181846,0.29388317,0.28173256,0.26991972,0.26253143,0.26302478,0.27392402,0.29344854,0.31389955,0.32382128,0.31585208,0.2906309,0.25667733,0.22436197,0.20189275,0.19230686,0.1944201,0.20482104,0.22011845,0.23664539,0.24939533,0.2537481,0.24972324,0.24473381,0.24841045,0.26620248,0.29589602,0.3353952,0.38308537,0.43498433,0.47383395,0.47985676,0.4438084,0.37963554,0.31073743,0.2559392,0.22253098,0.21510826,0.2405423,0.29878294,0.37192234,0.42484322,0.4295447,0.38365722,0.3114475,0.24155341,0.19120751,0.16503401,0.16412896,0.18801521,0.23032327,0.2749006,0.30360183,0.3055471,0.28444,0.25299332,0.22525124,0.20843619,0.20237307,0.20262873,0.20533353,0.20882665,0.21233165,0.21356915,0.20907836,0.19574796,0.1732855,0.14550495,0.1225411,0.12114751,0.15818144,0.23632044,0.33273765,0.40789664,0.4317408,0.40568924,0.35662305,0.31297645,0.28580204,0.2720863,0.2657826,0.26463997,0.26716194,0.26992562,0.26816204,0.25869003,0.24227935,0.22266875,0.205027,0.19382454,0.19307844,0.20559984,0.2290396,0.25396347,0.26589918,0.2571726,0.23137428,0.20243816,0.18194996,0.17477982,0.17815156,0.18847622,0.20268817,0.21866171,0.23250152,0.23991342,0.2388603,0.23362786,0.23363227,0.24738054,0.27558503,0.31126848,0.34943223,0.39014032,0.43409705,0.46803355,0.47244203,0.435348,0.370162,0.30329517,0.25806502,0.24211816,0.2547321,0.29469743,0.35646465,0.4243816,0.4715129,0.4796958,0.44944715,0.40129456,0.3555868,0.324219,0.3088492,0.30885622,0.31990492,0.3325754,0.33249786,0.31052145,0.2680839,0.21756957,0.17200404,0.13914049,0.11915349,0.109799735,0.110361375,0.12273463,0.14808147,0.18284355,0.2193911,0.24960215,0.26871717,0.27452,0.2673997,0.25309873,0.24659789,0.26727867,0.32369006,0.40149212,0.4687748,0.49924234,0.48949742,0.45684096,0.4216161,0.3946598,0.37665752,0.36406246,0.35330844,0.34220842,0.33030093,0.31832477,0.30805126,0.30054525,0.29684487,0.29646337,0.30000868,0.30755928,0.31973004,0.33338594,0.34298077,0.34127328,0.32548767,0.2982001,0.26663837,0.2375251,0.21485876,0.19992782,0.19315048,0.19519752,0.20497246,0.21851504,0.22861664,0.23082273,0.22696592,0.22726558,0.2404284,0.26891777,0.30570608,0.34762824,0.39440465,0.4455532,0.4845241,0.49050784,0.45285773,0.3864393,0.31602815,0.26057604,0.22645342,0.21830644,0.24424095,0.3047075,0.38190034,0.4414283,0.4573319,0.42748132,0.37338948,0.31879804,0.2767364,0.24899451,0.23505469,0.23397124,0.2410962,0.24486746,0.23483671,0.20937984,0.17949827,0.15827565,0.15210226,0.15691648,0.16572158,0.17454809,0.18415616,0.19510955,0.20458542,0.206766,0.19787638,0.18015361,0.16157377,0.15220073,0.16055132,0.19382578,0.2558061,0.34075114,0.426985,0.484051,0.4914523,0.45398644,0.39544323,0.34053957,0.29993752,0.2733469,0.25639954,0.24645863,0.24061574,0.23539637,0.22777385,0.21709253,0.2053173,0.19504571,0.18850817,0.18774708,0.19560874,0.21428458,0.24056518,0.2646997,0.2747837,0.26706865,0.24797207,0.22890286,0.21629028,0.21009092,0.20756596,0.20826907,0.21379621,0.2242667,0.2354676,0.24033438,0.23537569,0.22566907,0.22413783,0.24099623,0.2763987,0.3197409,0.36325446,0.40573534,0.44909206,0.48198333,0.48642004,0.45023835,0.3855141,0.31654552,0.26623383,0.24336855,0.25062254,0.2886674,0.35066676,0.4159601,0.4530653,0.443514,0.39226922,0.3254309,0.26550266,0.22187935,0.19294412,0.1798384,0.18657057,0.21291412,0.24608476,0.269218,0.2723254,0.26041555,0.24421291,0.2317364,0.22320765,0.21680702,0.21221244,0.21126206,0.21429689,0.21873753,0.22062321,0.21759367,0.21021521,0.20041205,0.19147272,0.18993746,0.20794784,0.2566962,0.33328474,0.41228426,0.45744848,0.4472632,0.39144874,0.32069895,0.2626001,0.22604816,0.20647316,0.19699304,0.19448306,0.19728579,0.2026618,0.20746441,0.20970155,0.20975381,0.20898362,0.20870675,0.21053438,0.21747242,0.23380244,0.25859535,0.28299034,0.29173592,0.27697858,0.24324936,0.20580195,0.17668408,0.15997277,0.15306471,0.1541846,0.16448282,0.18474984,0.21144515,0.23572278,0.2506441,0.25667313,0.26376674,0.2796797,0.3038206,0.3268901,0.34745732,0.37214103,0.40712902,0.43853474,0.44207445,0.4019164,0.32919827,0.25046554,0.18942411,0.15680577,0.15680224,0.19412833,0.26593125,0.35217476,0.4154109,0.42558149,0.37919822,0.3018759,0.22540988,0.1699896,0.14079015,0.13684577,0.15449248,0.18436019,0.20927316,0.21405166,0.19623417,0.17076014,0.15783806,0.17025982,0.20491374,0.24801087,0.2828877,0.29934168,0.29554722,0.27694896,0.25043723,0.2225277,0.19861627,0.18427211,0.18264186,0.19492488,0.22296727,0.27343246,0.3498919,0.44093475,0.51590127,0.5433225,0.51476127,0.4512007,0.38621604,0.34150612,0.32005024,0.31193945,0.30764607,0.30161217,0.29257798,0.28023446,0.26490125,0.24748512,0.22955926,0.2131818,0.2014532,0.19916034,0.21091016,0.23492305,0.26067162,0.2724191,0.2621398,0.23366646,0.20051445,0.1736232,0.15809028,0.1531961,0.15800522,0.17119242,0.19024561,0.20949526,0.22286586,0.2280431,0.22983034,0.2380478,0.25864998,0.28927827,0.3211327,0.35333157,0.3917981,0.4399234,0.48023733,0.4860984,0.4429748,0.36751512,0.29265133,0.24460967,0.22918071,0.24108525,0.27623072,0.33095586,0.39265478,0.43647215,0.44075254,0.40272954,0.34039366,0.2758479,0.22225536,0.18404128,0.16604547,0.17241205,0.19954467,0.22998418,0.24505289,0.23732366,0.21702246,0.19919552,0.19251728,0.1948992,0.20047139,0.2055975,0.21030866,0.21514915,0.21899314,0.21946667,0.21532364,0.20740448,0.19760762,0.18847805,0.18531905,0.19954781,0.24493738,0.32526442,0.42255697,0.5026319,0.5372219,0.52400726,0.48206857,0.43474218,0.39230824,0.35790738,0.3305455,0.3130907,0.3038731,0.30009535,0.29517338,0.2857356,0.27090588,0.25345254,0.237336,0.22616033,0.22370692,0.2323066,0.250518,0.27017233,0.2792231,0.27062723,0.24677376,0.2182119,0.19374944,0.17724669,0.16731672,0.16270757,0.16280489,0.16734688,0.17372833,0.17781168,0.17660409,0.1726687,0.17480733,0.19180155,0.22651179,0.2733777,0.32877013,0.38985774,0.45126018,0.49135867,0.4876118,0.433001,0.35104284,0.27543703,0.22974016,0.21716587,0.23362012,0.2769343,0.34212956,0.41108248,0.45402277,0.45032609,0.40435648,0.34255067,0.29089928,0.25981787,0.24625303,0.24643008,0.2592498,0.2810186,0.2990774,0.30009297,0.27899578,0.24424236,0.20785354,0.17828035,0.15771614,0.14667334,0.14520164,0.15132158,0.15995182,0.16487493,0.16195844,0.1503037,0.13168617,0.10931026,0.0878667,0.0750908,0.08364582,0.1276092,0.21150593,0.31837118,0.41308936,0.4623644,0.4575757,0.4161465,0.36520684,0.321751,0.2896271,0.2658046,0.2480306,0.23522292,0.22601104,0.21836358,0.21067028,0.20290945,0.1958986,0.19053133,0.18645851,0.18260509,0.17760646,0.17126851,0.16433239,0.15822804,0.15352447,0.14984274,0.14604865,0.14163172,0.13696255,0.13298552,0.13011841,0.12800348,0.12590249,0.12358508,0.121441685,0.120058835,0.119458616,0.11903405,0.11789918,0.11542481,0.111480825,0.10645059,0.10117838,0.09657771,0.093130685,0.09050319,0.08797244,0.08514274,0.08243463,0.08076374,0.081093065,0.08393464,0.08900681,0.0947031,0.09841269,0.09792712,0.09347212,0.08798631,0.08517167,0.08673966,0.09212927,0.10041972,0.112147294,0.12859246,0.149522,0.17261565,0.19429739,0.21231215,0.225563,0.23339443,0.2332144,0.22168683,0.1981718,0.16832484,0.14292563,0.1311235,0.13465816,0.1470191,0.15941739,0.1656804,0.1640658,0.15484442,0.13928773,0.11960596,0.09949497,0.08294731,0.072353184,0.067474194,0.06566921,0.06408134,0.06125321,0.058109026,0.056356978,0.057357106,0.06176601,0.07104325,0.087302506,0.111082055,0.13808243,0.15948294,0.16693313,0.1583411,0.1395959,0.11989752,0.10681044,0.10352967,0.11016267,0.1237727,0.13876767,0.14844894,0.14921238,0.14310856,0.13601284,0.13326971,0.13612773,0.14234747,0.1483171,0.15214328,0.15391487,0.15477711,0.15474938,0.15265596,0.14781459,0.14153397,0.13668674,0.13493966,0.13523161,0.13397324,0.12755033,0.11464652,0.09763441,0.082101054,0.074248396,0.07714792,0.08865523,0.10241049,0.11244479,0.116111346,0.11488477,0.11140966,0.10795631,0.10572683,0.10546286,0.107504494,0.111499764,0.11694213,0.123277605,0.13127089,0.1427752,0.16038655,0.18378933,0.2086692,0.22816806,0.23818769,0.23879199,0.23179282,0.21766223,0.19708103,0.17415632,0.15569718,0.1455303,0.14105107,0.13591443,0.12787555,0.12227937,0.12937145,0.15611954,0.19971769,0.24793126,0.28561962,0.3049536,0.30769196,0.30169448,0.29195762,0.27870116,0.2594938,0.23459232,0.20809007,0.18612154,0.17324781,0.17043991,0.17528452,0.18413226,0.19382083,0.20294195,0.21156274,0.22108454,0.23246722,0.2456605,0.25928637,0.2724303,0.28455055,0.29430556,0.2983059,0.293282,0.28042522,0.2666961,0.26043734,0.26403335,0.27215573,0.27733275,0.27769527,0.27738306,0.28052604,0.2851089,0.2844201,0.27276525,0.2504633,0.22334994,0.19915785,0.18365341,0.178887,0.18377231,0.19531937,0.21022844,0.22549377,0.23913448,0.249754,0.2560097,0.25561392,0.2460031,0.22612302,0.19847749,0.16872634,0.14291182,0.124554425,0.113913655,0.10985902,0.11120131,0.11771664,0.12894809,0.14403085,0.1597168,0.17121406,0.17335159,0.16466077,0.14819473,0.1304567,0.11750213,0.112792365,0.115701616,0.12219093,0.12646006,0.125185,0.11984542,0.11575842,0.11698023,0.12285135,0.1291114,0.13130914,0.12866628,0.12279442,0.11725986,0.11413162,0.11568955,0.12357715,0.1394776,0.16168076,0.18436515,0.2002324,0.20538644,0.20151372,0.19264847,0.18169345,0.16978677,0.15827703,0.14902167,0.14259808,0.13761447,0.13265638,0.12838526,0.12735051,0.13162512,0.141093,0.15280902,0.16235177,0.1657781,0.16241898,0.15481196,0.14757492,0.14430301,0.14743523,0.15743174,0.17339928,0.19191991,0.20864809,0.22043575,0.22835267,0.23629083,0.24725072,0.25859794,0.26343253,0.2545925,0.23105083,0.19803558,0.1653105,0.14126621,0.13062482,0.13224153,0.14111342,0.15000747,0.15328735,0.14844374,0.13701324,0.12262347,0.10955959,0.10091066,0.097982906,0.099725924,0.10339738,0.1058444,0.10519793,0.101768665,0.09765593,0.09527752,0.0961073,0.10023952,0.1079574,0.12014768,0.1377903,0.15782674,0.17278634,0.17453247,0.16274318,0.14715622,0.14005448,0.14538223,0.15537588,0.16001247,0.1564309,0.15056427,0.14828567,0.14915459,0.14712349,0.13737236,0.12029771,0.10045149,0.082448,0.06919626,0.062789805,0.06577995,0.079377405,0.1007936,0.12269298,0.1371237,0.1401785,0.13370742,0.12290571,0.11237574,0.10448981,0.09975365,0.09871686,0.10246849,0.11230701,0.12806992,0.14719082,0.16514735,0.17772426,0.18312256,0.18246345,0.17871106,0.17490898,0.17291206,0.17234047,0.17144454,0.16863357,0.16469066,0.1616808,0.160954,0.16065277,0.1576684,0.15049778,0.14189647,0.13710843,0.13985592,0.14883323,0.15779205,0.16018397,0.15366264,0.14135906,0.1283764,0.11859984,0.11420255,0.11702371,0.12760772,0.14300536,0.15619224,0.16073088,0.15552182,0.14579952,0.13798533,0.13456498,0.13342713,0.13155015,0.12845238,0.12574914,0.124777235,0.12531598,0.1269918,0.13033135,0.13593525,0.14232147,0.14644054,0.1465898,0.1444612,0.14341219,0.1444518,0.14585121,0.14572734,0.14548852,0.1484166,0.15701538,0.17096855,0.18891169,0.20965473,0.23257546,0.2559365,0.2767942,0.29171607,0.29859123,0.2975701,0.291756,0.28860176,0.3005912,0.34083167,0.41169977,0.49421883,0.55445224,0.56491584,0.52655476,0.4640026,0.40582037,0.364174,0.33788288,0.3213353,0.31247076,0.3095521,0.30927983,0.30714014,0.30070576,0.29160556,0.2841356,0.28255677,0.28791258,0.29872927,0.31254867,0.32639942,0.3357099,0.33424807,0.31905568,0.29299343,0.26472393,0.24197124,0.2281879,0.22149019,0.21806423,0.21477963,0.21063565,0.20702057,0.20539023,0.2067066,0.21071367,0.21967931,0.23589718,0.26118323,0.2931261,0.33313873,0.38275573,0.44003263,0.48590824,0.49766397,0.4640553,0.4012647,0.33775413,0.29721233,0.28746095,0.30748275,0.35428488,0.42002222,0.48638558,0.52643913,0.5216995,0.47502592,0.4083654,0.34427986,0.2935537,0.25728592,0.23753059,0.23746784,0.2545778,0.2743471,0.2806162,0.26675656,0.24180567,0.22024812,0.21240403,0.21851273,0.23206525,0.24373055,0.24722584,0.24139792,0.23128037,0.22248833,0.21827875,0.21645807,0.213498,0.207673,0.2043487,0.21599756,0.2565517,0.3283678,0.41255593,0.4750974,0.488865,0.4532496,0.3929318,0.33734336,0.3023422,0.28687194,0.28322944,0.28512028,0.29058775,0.29912913,0.3101304,0.3220048,0.33240685,0.33906624,0.34024954,0.33691546,0.33265063,0.33221313,0.33623633,0.33949172,0.33383468,0.31618926,0.29159364,0.26969686,0.2571073,0.2538953,0.2558051,0.2582142,0.25859562,0.25568947,0.24863683,0.23668031,0.2218131,0.21035725,0.21277024,0.23473378,0.2734693,0.31694916,0.35951862,0.4015973,0.44602183,0.47980508,0.4836128,0.4448122,0.3749293,0.29895034,0.24148653,0.21508248,0.22448404,0.27047047,0.3457745,0.42819443,0.4830226,0.48429334,0.43289635,0.3563198,0.28563437,0.23615481,0.20746575,0.19659303,0.20454884,0.2300149,0.26143292,0.28240237,0.2823832,0.26437384,0.23832095,0.21345128,0.19296974,0.17640553,0.16365087,0.15670462,0.1588114,0.16936094,0.1837231,0.1948586,0.19925702,0.19735771,0.19336642,0.19429891,0.21027441,0.25110972,0.31612322,0.38828814,0.43924,0.44877064,0.41838238,0.3688809,0.32405242,0.29602242,0.2840607,0.28029743,0.27817878,0.27475727,0.27010643,0.26498115,0.2596991,0.25529203,0.25312054,0.25438687,0.25917682,0.26749215,0.28012836,0.29590347,0.30999663,0.3137803,0.30258736,0.27871338,0.25196317,0.23162733,0.22314854,0.22554499,0.23421247,0.2426259,0.24597682,0.24270076,0.23474425,0.22581519,0.22029848,0.2226771,0.2355165,0.25798312,0.28639385,0.32013938,0.36126402,0.40870833,0.44868147,0.4614276,0.43583462,0.380715,0.3170439,0.26324296,0.23032914,0.22676933,0.26276982,0.33777666,0.42883515,0.49350205,0.49833322,0.44236347,0.35589996,0.27374455,0.21441674,0.1802762,0.17133315,0.18822175,0.22589092,0.2655509,0.28607443,0.27661756,0.24628812,0.2119898,0.18837576,0.1791054,0.18225455,0.19174194,0.20128982,0.20396328,0.19664758,0.18126403,0.1644544,0.15297161,0.14992802,0.15507437,0.16920085,0.19906734,0.25537476,0.3408136,0.43859282,0.5153392,0.5434637,0.5212573,0.47213724,0.4234271,0.3886937,0.36676624,0.35213688,0.34081605,0.3310977,0.32059935,0.30811813,0.29344654,0.27846503,0.2652451,0.25543657,0.2506536,0.25237027,0.26294577,0.28108513,0.3014009,0.31380174,0.312508,0.29856944,0.2798331,0.26235926,0.24810623,0.2361992,0.22691073,0.221289,0.21805324,0.21353157,0.20483918,0.19531332,0.19326548,0.20734733,0.23695175,0.27326941,0.3048627,0.33231825,0.36423978,0.4066036,0.4457011,0.4585121,0.43097875,0.37312984,0.3082452,0.2562836,0.2271725,0.22675236,0.26160505,0.32958046,0.41050372,0.46868822,0.47590947,0.43048438,0.35632423,0.28247654,0.22531927,0.18932617,0.17612888,0.18803144,0.22122967,0.26102245,0.2890089,0.2938808,0.27805454,0.25210845,0.22733192,0.20940167,0.19819574,0.1907614,0.18500704,0.1804704,0.17644632,0.17074972,0.16233099,0.15278865,0.14608262,0.14463854,0.15111321,0.17199011,0.21875978,0.2963928,0.38961992,0.4641029,0.48864922,0.46012846,0.40316594,0.34933522,0.3137654,0.2948852,0.284408,0.27796388,0.27437797,0.27248278,0.27030355,0.26554373,0.2581014,0.24911524,0.24187298,0.23983546,0.24654591,0.26362613,0.2882452,0.3118975,0.3223136,0.3121812,0.28369796,0.24851525,0.21819638,0.19870764,0.18911076,0.18665582,0.18998702,0.19812702,0.20795204,0.21308082,0.21029453,0.20356286,0.20490403,0.22263908,0.25618836,0.29604575,0.33861414,0.3858613,0.43801424,0.4775777,0.48019925,0.43392447,0.3548912,0.27349585,0.21367858,0.18410303,0.18754767,0.22984247,0.31024554,0.4080224,0.48143336,0.4949977,0.4433895,0.3543379,0.26315328,0.19205196,0.14759484,0.13209848,0.14603685,0.18265307,0.22268255,0.24546577,0.240865,0.21566199,0.18385881,0.157229,0.14079507,0.13505976,0.1381907,0.14649968,0.15512417,0.1601938,0.15991311,0.15550943,0.14938305,0.1454369,0.14762558,0.16160387,0.19456393,0.25393865,0.33908352,0.43295136,0.5049944,0.5280966,0.4987774,0.4370806,0.37234232,0.32250023,0.29173592,0.27456054,0.2659891,0.26335067,0.26641846,0.27541193,0.28873163,0.30330926,0.31363282,0.31580865,0.309209,0.2999184,0.29679093,0.3045628,0.31839368,0.32590923,0.31888077,0.29829618,0.2740405,0.25374296,0.24021733,0.23129427,0.22545695,0.2218237,0.21935809,0.21608639,0.20989065,0.20194913,0.1972106,0.20487048,0.22934991,0.26713005,0.30614272,0.3420801,0.37930015,0.42416802,0.46416593,0.47625223,0.44424716,0.37862316,0.303852,0.24200928,0.20242025,0.19122095,0.21559791,0.27618852,0.35432395,0.41385004,0.4235194,0.37852657,0.30304554,0.22964321,0.18007357,0.1595613,0.16548331,0.19095664,0.22578073,0.25390327,0.262822,0.2490706,0.2208861,0.18850373,0.15875478,0.13395242,0.11598279,0.10736508,0.10854322,0.11523905,0.11916921,0.113140374,0.0959867,0.073108345,0.052100826,0.038755074,0.039511044,0.066717625,0.13691391,0.25369632,0.39193216,0.5025928,0.5455187,0.5173049,0.44976616,0.38075626,0.33028853,0.29929218,0.28166044,0.273018,0.2703476,0.27026343,0.26883686,0.26360086,0.25400063,0.24127729,0.22755247,0.2167479,0.21442203,0.22631444,0.25175166,0.2810374,0.29815856,0.29313323,0.2683555,0.23686098,0.21115643,0.1961993,0.1897182,0.1871383,0.18606116,0.18535303,0.18416573,0.18047011,0.17504442,0.17277825,0.18246971,0.20769037,0.244397,0.28278366,0.32171586,0.36612546,0.417842,0.45854545,0.46282446,0.4181486,0.3410002,0.26088816,0.20040011,0.16699837,0.16414817,0.1995449,0.27441245,0.36910287,0.44195452,0.4573133,0.40927562,0.32486293,0.23974179,0.1782909,0.14988062,0.15519953,0.18791181,0.23247273,0.2670267,0.2757022,0.25677082,0.22243303,0.18744534,0.16153316,0.1470509,0.14276768,0.14629139,0.15372549,0.1588629,0.154945,0.14014213,0.12100952,0.10910749,0.11169668,0.12636074,0.14717697,0.17631632,0.22675253,0.30687413,0.40421143,0.48543748,0.5209737,0.5053566,0.45836368,0.40440264,0.35755208,0.31998405,0.29081467,0.2703289,0.25923416,0.2548587,0.25186205,0.24503241,0.23429172,0.2243642,0.22091722,0.22582291,0.23769474,0.25544623,0.27749088,0.29864872,0.30847114,0.2996056,0.27380773,0.24244195,0.21659034,0.20110643,0.19401169,0.1917829,0.19207136,0.19320406,0.19202237,0.18454045,0.17056674,0.1574033,0.15822,0.18099283,0.22247131,0.269655,0.31645504,0.36475053,0.41721192,0.45814517,0.4639108,0.42057988,0.34219074,0.25679913,0.18849468,0.14768563,0.14002609,0.17276382,0.24526052,0.33699194,0.4082502,0.42604056,0.3855195,0.31140324,0.23523636,0.1770984,0.1439112,0.13808672,0.15867607,0.19676262,0.23227634,0.24635725,0.23210703,0.19990201,0.16542722,0.13947137,0.123746365,0.115820386,0.11492404,0.12164084,0.13607652,0.1537276,0.16781496,0.17192213,0.16520092,0.15198268,0.13995814,0.13791247,0.15629323,0.20595102,0.28777882,0.38257113,0.45298064,0.46747628,0.42293087,0.34583637,0.27010253,0.2145719,0.18085158,0.16278897,0.15693152,0.16057546,0.16926451,0.17634945,0.17843558,0.17708923,0.17557763,0.17357916,0.16888766,0.16321349,0.16646777,0.18666716,0.22018568,0.2476244,0.25134906,0.22795923,0.192766,0.16404217,0.15265037,0.15731423,0.17115553,0.18614638,0.19657789,0.19960554,0.19537987,0.18800445,0.18411565,0.1925831,0.21613608,0.25095803,0.28651643,0.32124367,0.3605733,0.4099822,0.45492017,0.46942815,0.43512297,0.36160186,0.2764149,0.20557408,0.16201453,0.15296732,0.18671697,0.2632694,0.36065555,0.4360856,0.45307466,0.40610245,0.3223356,0.23775162,0.17576186,0.14394224,0.14241685,0.16740592,0.20776962,0.24336438,0.25537428,0.23724657,0.19904374,0.15706173,0.12377986,0.10299745,0.09392611,0.09496418,0.10445956,0.11916047,0.1333295,0.14167716,0.1420288,0.13734482,0.13199143,0.12883997,0.12652098,0.1222396,0.114197046,0.10428425,0.09671751,0.095387876,0.10089699,0.11052525,0.12076124,0.12966163,0.13720639,0.14356339,0.1483885,0.15113758,0.15221988,0.15255018,0.1529478,0.15337054,0.15363497,0.15362966,0.15343946,0.15228207,0.1483209,0.13948669,0.1257705,0.110287726,0.097891085,0.091682345,0.0912869,0.09384365,0.09689321,0.099339835,0.10101044,0.1014932,0.100514315,0.09834864,0.0959948,0.09431184,0.09369051,0.09399119,0.09500864,0.09623087,0.09677894,0.0953748,0.091368,0.08534774,0.07952679,0.07651677,0.07832072,0.08500394,0.09505368,0.10595118,0.11581916,0.12395689,0.13090052,0.1374601,0.14421868,0.151213,0.15789063,0.16307323,0.16522168,0.16299587,0.15536618,0.14203924,0.12355461,0.10245743,0.08239966,0.067210615,0.058250416,0.054686893,0.05416742,0.055028144,0.056419585,0.057998415,0.059208483,0.059525162,0.0588693,0.05756359,0.05584305,0.05366343,0.05080272,0.04760317,0.045011718,0.04477872,0.049049925,0.062241483,0.09320996,0.15350996,0.24632855,0.3539351,0.44014272,0.47276926,0.44798216,0.39101577,0.33461407,0.2967626,0.27803972,0.27170625,0.27225175,0.27580187,0.27781236,0.27472007,0.26607415,0.25571948,0.2478772,0.24496841,0.2471634,0.2554399,0.27166483,0.2944965,0.31612292,0.32415718,0.31151628,0.28132692,0.24532568,0.21397115,0.19195485,0.17883547,0.17364293,0.17603104,0.18479173,0.19634336,0.20600115,0.21195173,0.2175063,0.23013754,0.25296518,0.2825425,0.3099375,0.33538795,0.3652195,0.40482864,0.43999276,0.44780993,0.41315582,0.34680665,0.27373746,0.21615922,0.18413192,0.18310954,0.2209215,0.29707488,0.39060345,0.4594008,0.46964702,0.4178727,0.3336388,0.25152874,0.19206381,0.1589162,0.1518731,0.16912383,0.20289867,0.23422842,0.2436349,0.22265609,0.18076186,0.13539794,0.10157096,0.084777504,0.08454064,0.09837636,0.12444679,0.1579388,0.1893213,0.2054962,0.19891502,0.17211686,0.13676387,0.104833335,0.0866974,0.09289115,0.13574868,0.2174445,0.32066116,0.41015968,0.4568615,0.45398855,0.41851556,0.37160894,0.32694533,0.2886032,0.2586903,0.2394792,0.23228693,0.23395021,0.23886847,0.24156748,0.24123746,0.23945469,0.23904109,0.24098772,0.24730897,0.26039723,0.28049675,0.30160493,0.31270078,0.3069065,0.28609857,0.2606403,0.23897429,0.22486381,0.21669471,0.21372776,0.21574014,0.22254936,0.2305754,0.23474617,0.23231976,0.22697277,0.22748192,0.23967928,0.26239252,0.28921506,0.32060733,0.36149052,0.4126451,0.45526278,0.46420202,0.42626262,0.35694095,0.28412214,0.23046125,0.20271648,0.2028544,0.23460658,0.29738948,0.3739197,0.4305772,0.43892613,0.39557385,0.32330164,0.25115103,0.19736259,0.16799499,0.16469432,0.18653561,0.22419149,0.2570095,0.26368538,0.23693575,0.19045617,0.14860193,0.1304743,0.13950229,0.16533326,0.19328076,0.21267784,0.2198528,0.21511209,0.1999814,0.17660058,0.14901276,0.12249655,0.10224104,0.09501132,0.112451136,0.16914062,0.26747558,0.38362756,0.4718535,0.49450335,0.44953462,0.36893523,0.29211402,0.2399052,0.21360672,0.20506495,0.20770192,0.21655494,0.22763817,0.23770833,0.2453726,0.25122717,0.25628242,0.2609336,0.2655643,0.27185234,0.28372213,0.30199924,0.32150936,0.3300924,0.31983435,0.29241017,0.26006755,0.23409788,0.21942306,0.21385892,0.21398592,0.21750315,0.2227364,0.22713344,0.2277418,0.22414984,0.2204402,0.22515666,0.24425186,0.27684003,0.31393078,0.35124472,0.39093304,0.4365871,0.4746251,0.4809519,0.4385923,0.35913673,0.27229598,0.2058363,0.17139189,0.17274636,0.21497564,0.2969701,0.3976198,0.4739574,0.48904026,0.43700448,0.34687468,0.25689307,0.1916492,0.15837704,0.1560898,0.18100269,0.22200851,0.25863144,0.2700674,0.24876048,0.20627995,0.16358079,0.13693137,0.12993123,0.1366729,0.14912973,0.16157757,0.17051809,0.17267399,0.16550565,0.14925765,0.12796499,0.10728804,0.09193171,0.08765117,0.104328655,0.15549578,0.24366029,0.34978688,0.4340345,0.46395016,0.43432012,0.37133694,0.3077474,0.26484072,0.24581335,0.24535692,0.25640646,0.27308834,0.28985175,0.30251276,0.30923045,0.3111918,0.31126234,0.3133733,0.32162294,0.33915114,0.36576006,0.3956373,0.41908157,0.42698988,0.4177744,0.39751127,0.37590775,0.35854387,0.34566906,0.33471653,0.3246386,0.31596112,0.30869463,0.30095053,0.2902546,0.27699485,0.26527846,0.26186046,0.26920867,0.28574172,0.30665353,0.33600345,0.37976432,0.438161,0.488184,0.4995191,0.4547942,0.36963263,0.27719364,0.20615904,0.16875942,0.16932274,0.21409653,0.3004143,0.4051672,0.48298082,0.4981797,0.44658127,0.35984015,0.27589777,0.21866874,0.19276561,0.19494808,0.2189234,0.25348973,0.28030193,0.2824314,0.25447366,0.20740192,0.15891059,0.122633226,0.101897866,0.09419466,0.096843906,0.10908687,0.12869592,0.14861274,0.15896927,0.15345542,0.13424842,0.10987956,0.08967466,0.08182911,0.09684503,0.14822225,0.24179335,0.36245754,0.4736023,0.53925043,0.5476454,0.5168244,0.47530648,0.4417942,0.41890192,0.40166184,0.3863484,0.3731558,0.36392713,0.35974148,0.35945034,0.36035335,0.35953572,0.35620806,0.35177514,0.348776,0.3482957,0.3492775,0.34908423,0.34573057,0.33929977,0.33200085,0.32648766,0.3237531,0.32258332,0.3205645,0.31630948,0.3102927,0.30448368,0.30051076,0.2984456,0.29664123,0.29308662,0.28701177,0.27954197,0.27275276,0.26801068,0.26479816,0.26124477,0.25550917,0.24736404,0.2381246,0.22966106,0.2227739,0.2168532,0.21045722,0.20260324,0.19338895,0.18378924,0.17476289,0.1664381,0.1579955,0.14826787,0.13665566,0.12351466,0.109841205,0.0964186,0.083270125,0.06978179,0.05565692,0.04189378,0.03103611,0.026042417]