[0.21000877,0.21988551,0.24023871,0.262137,0.2786841,0.28638795,0.28656814,0.2821788,0.2763629,0.27093458,0.2665025,0.26337644,0.2619531,0.26290777,0.26689065,0.2739396,0.28274822,0.29042804,0.29376248,0.2910652,0.2831129,0.2725359,0.26232657,0.25475606,0.25074238,0.2497378,0.25028715,0.25115255,0.25252405,0.25551862,0.26057497,0.26577482,0.2679826,0.2654707,0.26002863,0.25541267,0.253715,0.25357497,0.2519598,0.24947663,0.25008938,0.25885808,0.274462,0.29189894,0.30445513,0.31071648,0.3113728,0.30829018,0.3007655,0.2878747,0.26982185,0.2498237,0.23262954,0.22168441,0.2169013,0.21541846,0.21444261,0.21337283,0.21344511,0.21623623,0.22250806,0.23233275,0.24547718,0.2615253,0.27938685,0.2965466,0.3094368,0.31510487,0.31347528,0.3074607,0.3005054,0.29416683,0.2870628,0.27712178,0.26230958,0.24288608,0.22120345,0.2029608,0.19458647,0.2001422,0.21835558,0.24278371,0.26522174,0.2792443,0.2833073,0.28051218,0.27649188,0.2760482,0.28142822,0.2920634,0.30522642,0.31694138,0.32343438,0.32268187,0.31407222,0.29750404,0.27281412,0.24179189,0.2086009,0.1786433,0.15564215,0.14150275,0.13701303,0.14249371,0.15698142,0.1776012,0.20028682,0.22021909,0.23364155,0.23860514,0.23611897,0.22867715,0.21925789,0.21040118,0.20410566,0.20082062,0.19893603,0.19550782,0.18875986,0.17896064,0.16833836,0.15843235,0.149668,0.14095838,0.13271807,0.12762211,0.13011289,0.14189364,0.15940315,0.17513192,0.18270685,0.18060066,0.17149778,0.15933783,0.14665417,0.13487267,0.12535615,0.121266894,0.12608545,0.14126755,0.16293295,0.18376945,0.1972066,0.2015018,0.19915037,0.19344614,0.18633358,0.17777933,0.16754329,0.15595432,0.14634295,0.14478861,0.15823103,0.18839912,0.22920571,0.2688869,0.29753888,0.31213132,0.3161929,0.3154998,0.31428394,0.3148687,0.31832147,0.32461143,0.33166143,0.33576727,0.3344222,0.32835197,0.32141855,0.3171179,0.31685278,0.31906632,0.32089356,0.31898865,0.31194964,0.30179533,0.29319915,0.29006448,0.29183483,0.2948923,0.2952018,0.2918254,0.28589922,0.28045234,0.27870002,0.28346136,0.2947148,0.30921736,0.321882,0.32854223,0.3278605,0.32059038,0.3086442,0.29287657,0.27342942,0.25012937,0.22458427,0.19989045,0.1799783,0.16822739,0.1680219,0.18099289,0.20552535,0.23419864,0.25820205,0.27145326,0.274506,0.2708496,0.26324734,0.25189197,0.2366396,0.21955252,0.20450754,0.19436747,0.18841815,0.18270837,0.17401804,0.16202743,0.14947675,0.1385932,0.13006221,0.12278541,0.11621905,0.11094099,0.10950864,0.11403345,0.12462642,0.136992,0.1454797,0.14559668,0.13751586,0.12496465,0.11466531,0.114993505,0.13342072,0.1722935,0.22425894,0.27534044,0.31193337,0.32970724,0.33337227,0.3315988,0.3297043,0.32765892,0.32152367,0.3061469,0.27876025,0.24119431,0.20235842,0.17455615,0.16782057,0.18171366,0.20447433,0.21912877,0.21462452,0.19200659,0.16158454,0.13444072,0.116170146,0.10793892,0.11113125,0.1309789,0.17170106,0.23039092,0.29206523,0.33781072,0.35432008,0.34244585,0.31280264,0.27862933,0.24839903,0.22505194,0.20836683,0.19814934,0.19639395,0.20471537,0.22207595,0.24176697,0.25657865,0.26215482,0.26085648,0.25691038,0.25397074,0.25256196,0.2531602,0.25664082,0.26499262,0.27810153,0.29402843,0.3086718,0.31956938,0.32558525,0.32729018,0.3245149,0.3173542,0.30704284,0.29696956,0.29131874,0.29211816,0.29763687,0.3023847,0.30082795,0.29013327,0.27234796,0.2525414,0.2361461,0.22569002,0.219741,0.21488512,0.20937966,0.20662121,0.21385853,0.2370091,0.27444974,0.31651485,0.35128537,0.371864,0.37866047,0.37630078,0.3687676,0.3568144,0.33772275,0.30892608,0.27256042,0.23836787,0.21839271,0.21867108,0.23375893,0.25202653,0.26391742,0.26773703,0.26695848,0.26604393,0.26676452,0.2686878,0.270242,0.2707411,0.2709423,0.27319953,0.2797371,0.29045177,0.3006192,0.30188265,0.28748626,0.25778803,0.2219585,0.19191486,0.17680359,0.17922343,0.19700406,0.22416615,0.25274742,0.2750163,0.28516647,0.28055993,0.26144654,0.23244075,0.20165537,0.17790449,0.16680117,0.16999863,0.18600507,0.21051775,0.2362649,0.25613016,0.26704612,0.27185833,0.27554175,0.2815241,0.28995866,0.29943338,0.30831203,0.3157713,0.3219684,0.32841846,0.33610594,0.3454964,0.35498634,0.36418128,0.37171677,0.37739483,0.37952134,0.37744066,0.36890745,0.3503447,0.31954166,0.28053042,0.2447152,0.22076635,0.2066841,0.1900395,0.16111995,0.121965714,0.0849379,0.0626359,0.060737174,0.07788455,0.10987568,0.15199567,0.19901134,0.24410172,0.28043392,0.30387387,0.3145847,0.31605065,0.31243947,0.30725098,0.30347136,0.3058314,0.32102647,0.35405374,0.3995537,0.44022667,0.4547012,0.43413636,0.38672552,0.33076215,0.28058878,0.24167222,0.2130677,0.19193937,0.17675968,0.16830754,0.16925316,0.18102306,0.20010436,0.21914662,0.23074247,0.23264499,0.22707565,0.21845494,0.20951913,0.20256352,0.20093636,0.2116899,0.23963463,0.28152844,0.32168975,0.3423971,0.33611283,0.3121558,0.28883302,0.27989995,0.28753677,0.30356464,0.3182536,0.32656527,0.32946375,0.330322,0.3299847,0.32741472,0.3214577,0.31348112,0.30455554,0.29333636,0.27609074,0.25110057,0.22383343,0.20771886,0.2203387,0.26905143,0.34314862,0.41312578,0.45361146,0.45727023,0.43885258,0.41591573,0.39811063,0.384627,0.37307003,0.36446193,0.3647662,0.3794774,0.40629676,0.4317168,0.43916345,0.4221051,0.38809967,0.35145244,0.3223883,0.30505452,0.2999859,0.30677405,0.32433617,0.35023496,0.38034955,0.40755224,0.42409042,0.4256668,0.41490766,0.3989121,0.3840045,0.37219045,0.36133742,0.34772494,0.32903087,0.30693474,0.287029,0.2749025,0.27190828,0.27450082,0.27860987,0.28306603,0.2895678,0.2990171,0.30929568,0.31747383,0.32445368,0.33823133,0.3672055,0.41098282,0.4546245,0.4798453,0.47809896,0.45724642,0.4314295,0.41083157,0.39702117,0.38708007,0.37761247,0.36732376,0.35753217,0.35000947,0.34397355,0.33395877,0.31425413,0.2831393,0.24615508,0.2110318,0.18436025,0.16741453,0.15975362,0.16146138,0.17813967,0.2152241,0.2716396,0.33179215,0.37513742,0.38822827,0.37481228,0.34778187,0.31826615,0.28928837,0.25990582,0.2313488,0.20846118,0.19684176,0.19843705,0.21044391,0.22672658,0.2408191,0.24797894,0.24540514,0.23330052,0.21484351,0.19821973,0.19491403,0.21739967,0.27175203,0.34959254,0.42692602,0.47446916,0.4774736,0.44411722,0.39716944,0.355456,0.32395458,0.29850248,0.2759039,0.26154816,0.26788113,0.30307677,0.3584516,0.4068379,0.42108512,0.3946292,0.34394136,0.292003,0.25057617,0.22025798,0.19781767,0.18461972,0.18597548,0.2078981,0.25014842,0.30112603,0.34189475,0.35732663,0.34767392,0.32538188,0.3036987,0.28625512,0.26896104,0.2495213,0.23301679,0.23023987,0.24714653,0.27952516,0.31348622,0.33702156,0.34652856,0.34665164,0.3413465,0.32994953,0.30990994,0.2840028,0.26384258,0.26599297,0.30038324,0.35892817,0.4160433,0.44508398,0.4373124,0.4045404,0.36599076,0.33376038,0.3114364,0.29919282,0.29689154,0.3025682,0.31136712,0.31799948,0.31873754,0.31207228,0.29808524,0.27843514,0.25687817,0.23734742,0.22206604,0.20973857,0.19925982,0.19337307,0.20128484,0.22972758,0.2760664,0.32318023,0.3542945,0.3613812,0.35231414,0.33769226,0.32555437,0.3165079,0.30962303,0.30403128,0.29981697,0.29719839,0.29593933,0.29623267,0.29828334,0.30281186,0.30989036,0.31800234,0.32326186,0.32002762,0.30494842,0.28154194,0.26351282,0.26864657,0.30554187,0.36256388,0.4126873,0.43302312,0.42076147,0.39115855,0.36243477,0.34320715,0.33239797,0.32597622,0.3241632,0.33411613,0.36257222,0.4069576,0.44916165,0.46935812,0.4599128,0.43246973,0.40422145,0.385403,0.37532544,0.3699695,0.368073,0.3720795,0.3829908,0.39718553,0.405385,0.39973918,0.3782134,0.3474636,0.3159705,0.28994843,0.26964107,0.25325105,0.238761,0.22764486,0.22332497,0.22961669,0.24537182,0.26404396,0.27689943,0.2805159,0.2782773,0.27590296,0.27384683,0.2667435,0.2508933,0.2333194,0.23315446,0.26693252,0.33207723,0.40091816,0.4406036,0.4360278,0.39789724,0.34736478,0.29869813,0.2555939,0.2176183,0.18657358,0.1657376,0.15818007,0.16376634,0.17905892,0.1966573,0.2095481,0.21344964,0.2093075,0.20003438,0.18857668,0.17597465,0.16437994,0.15910734,0.1702913,0.20400941,0.255747,0.3055202,0.33319062,0.329718,0.30488253,0.27434093,0.24959224,0.23180522,0.216891,0.20116065,0.18514802,0.17300124,0.1685552,0.1714501,0.17678533,0.17904262,0.17574008,0.16823663,0.1589415,0.1495079,0.1411532,0.13836206,0.1509908,0.18970038,0.2541546,0.32550013,0.37501112,0.3844889,0.35860315,0.31684864,0.27649808,0.24353032,0.21697944,0.1974525,0.1914609,0.21073611,0.2604771,0.33015743,0.39050743,0.41513202,0.39726853,0.35469636,0.3091965,0.27290228,0.2449875,0.22250545,0.20571439,0.2007442,0.21288468,0.24230663,0.27756584,0.30364725,0.30930606,0.29671684,0.27485302,0.25342026,0.23583513,0.2217501,0.20926446,0.1978106,0.18860912,0.18388282,0.18440574,0.18778725,0.19047236,0.19213581,0.19751401,0.21284916,0.23974264,0.27312168,0.30660427,0.33950508,0.37938467,0.43084994,0.48670468,0.52577144,0.5314444,0.5032845,0.45797452,0.41243485,0.37435058,0.34301314,0.3162774,0.29417753,0.2773993,0.268472,0.2698165,0.28310385,0.3038787,0.325058,0.33944902,0.3461839,0.3475337,0.34711874,0.34587774,0.3447008,0.346149,0.3552437,0.37425587,0.39888516,0.41911733,0.42779207,0.42526707,0.41822782,0.41167352,0.4058081,0.39682427,0.38127077,0.35925415,0.3361276,0.32194832,0.32514453,0.3464649,0.37597224,0.40078178,0.41291335,0.41354212,0.40817213,0.4011257,0.39428234,0.39017418,0.39529335,0.41605255,0.44964585,0.48066816,0.48893595,0.46740028,0.42548665,0.38204584,0.34816024,0.32529315,0.30858687,0.29618356,0.29112592,0.3010254,0.33036253,0.3736464,0.41399917,0.43433782,0.42959324,0.40851024,0.38475645,0.36664918,0.3565822,0.3537523,0.3577654,0.36850846,0.3846111,0.40259114,0.41657832,0.42233145,0.41950396,0.41165838,0.40230325,0.3926587,0.38244605,0.3714421,0.3598803,0.34824237,0.33790684,0.33118257,0.32941142,0.33060387,0.32989368,0.32308164,0.31016168,0.29551157,0.28485036,0.28114724,0.28532922,0.29838833,0.32591063,0.37033138,0.42582282,0.4731888,0.49560675,0.48825672,0.46270308,0.43280938,0.4066775,0.38552964,0.3690125,0.35735324,0.34882092,0.33923984,0.32298553,0.29739246,0.26482177,0.23206036,0.20707689,0.19510381,0.1988147,0.217259,0.24751882,0.283159,0.31828025,0.3490238,0.37494507,0.39569137,0.40864083,0.41043293,0.3991884,0.3776377,0.35119757,0.3259929,0.30487168,0.28743488,0.27243736,0.261886,0.26060477,0.2716295,0.29105422,0.30984357,0.32036436,0.32228112,0.3206384,0.32044902,0.32224828,0.32437602,0.32724106,0.33670935,0.35935092,0.39435616,0.42877403,0.4455895,0.43694827,0.4098978,0.3779802,0.35029605,0.32800302,0.31004533,0.29891646,0.3023711,0.32938883,0.37917826,0.43541095,0.47008932,0.46508884,0.42378387,0.36794844,0.3181206,0.2827876,0.25996068,0.24521922,0.23791756,0.24228303,0.26332387,0.29990152,0.33907267,0.36365783,0.36305937,0.34195033,0.31340456,0.28934944,0.27407902,0.26677278,0.26662245,0.2747462,0.2930783,0.31942847,0.3476552,0.36906394,0.37968686,0.38013518,0.37588587,0.3709571,0.36839235,0.36770025,0.36956394,0.37653556,0.39591047,0.43102717,0.474094,0.50473094,0.5038441,0.46894738,0.4137623,0.35830724,0.31327894,0.28233936,0.2624133,0.2524177,0.25039265,0.25763592,0.273909,0.29804036,0.32404795,0.3462982,0.36148715,0.371639,0.37985846,0.3882997,0.39675894,0.40483126,0.4130269,0.42289707,0.43466833,0.44602785,0.4521335,0.44982448,0.43958235,0.42541,0.41102114,0.39748487,0.38419214,0.37024915,0.3572538,0.34797594,0.34637383,0.35356125,0.3676344,0.38296998,0.39480245,0.40098074,0.40313783,0.40359226,0.40380952,0.40470135,0.40913033,0.42238593,0.44737628,0.47783938,0.4986533,0.49532318,0.46712053,0.42620578,0.38903615,0.36299744,0.3476996,0.33807242,0.3333665,0.33719048,0.35710728,0.3937395,0.43593642,0.4626758,0.46053252,0.43273053,0.39613163,0.36494347,0.34384,0.33007914,0.3224836,0.32290617,0.3354266,0.35875776,0.38667902,0.40750644,0.41519058,0.40972504,0.3989705,0.38847515,0.38107324,0.37487268,0.36852637,0.36162338,0.35669318,0.35705057,0.36463603,0.37652948,0.386464,0.3891139,0.3849229,0.37854025,0.37416604,0.37148297,0.36735478,0.36021623,0.35331333,0.35333893,0.3643258,0.3823999,0.39647612,0.396629,0.38222632,0.3611071,0.3424809,0.3297715,0.32198298,0.3162386,0.31059065,0.3035703,0.29642406,0.29356143,0.30070773,0.3189365,0.34279606,0.36302748,0.3734313,0.37353778,0.36663076,0.35480252,0.33619094,0.3086686,0.27488247,0.2454202,0.2310643,0.23438437,0.24469815,0.24625112,0.22820784,0.19217986,0.1492657,0.113245636,0.09324458,0.092071734,0.10902346,0.1422881,0.18843336,0.23868124,0.28137365,0.30758926,0.3180438,0.3203175,0.32248548,0.3270583,0.33211944,0.33469066,0.33355418,0.3291274,0.3228219,0.3161097,0.31000412,0.30456343,0.29897645,0.291881,0.28127337,0.26460034,0.23988114,0.20810057,0.17460127,0.14782645,0.13543217,0.14066172,0.16039066,0.18667208,0.21012227,0.22440666,0.22789633,0.22258739,0.2112233,0.195848,0.1782823,0.1605417,0.14468552,0.13125412,0.11928698,0.1065863,0.09171582,0.07456938,0.056989178,0.04136909,0.029781776,0.022660678,0.019159311,0.017599242,0.016624928,0.015508078,0.014319113,0.013441852,0.013312566,0.014002777,0.015300064,0.017228616,0.02129992,0.03180321,0.056033235,0.10192873,0.1729672,0.26118064,0.3469573,0.40657535,0.42823538,0.4173328,0.39151585,0.36563066,0.34642342,0.33424795,0.32839045,0.32808474,0.33114672,0.33507264,0.33783332,0.33964863,0.3411416,0.34317502,0.34511256,0.34606495,0.3450894,0.34261298,0.340387,0.34105065,0.3475685,0.3600514,0.3742908,0.38090217,0.3723866,0.34845102,0.3188408,0.29539815,0.28464314,0.28321108,0.28344533,0.2796726,0.27320862,0.2694337,0.27328202,0.28447738,0.29855785,0.3101231,0.3169752,0.32002485,0.32111526,0.3202447,0.31603706,0.30927643,0.30586925,0.31592527,0.34414372,0.38259116,0.41131362,0.41463554,0.39290094,0.36201528,0.33785287,0.3257077,0.32031712,0.31450677,0.30627003,0.30209753,0.3122429,0.34227732,0.38344935,0.41842198,0.4324124,0.4261707,0.409627,0.39350876,0.38033924,0.36916825,0.35916817,0.35295844,0.35423657,0.36436507,0.3789343,0.38813087,0.3839821,0.36874112,0.35617888,0.36007357,0.38133335,0.4044213,0.41160205,0.39605775,0.36753094,0.339336,0.31997716,0.30813327,0.3004597,0.29403532,0.28855214,0.28274623,0.27471069,0.26187378,0.2449835,0.23051655,0.23130918,0.2591107,0.3131348,0.37586486,0.42177606,0.43671742,0.42475745,0.4026574,0.38402304,0.37390313,0.3704928,0.37001,0.36914492,0.36458182,0.35561362,0.34365416,0.3331286,0.3271145,0.32670388,0.32982552,0.334071,0.33725774,0.33834717,0.33777663,0.33879447,0.34665203,0.36405838,0.38561812,0.39842215,0.390568,0.36167035,0.3238082,0.2925643,0.2750909,0.26690695,0.25791827,0.24220489,0.22306806,0.20932944,0.20675981,0.21165769,0.21452771,0.20964497,0.20193744,0.20202424,0.21551788,0.23615734,0.25101247,0.25268054,0.24805045,0.25570056,0.2887328,0.3411386,0.3868802,0.4028767,0.38545597,0.35209203,0.32045898,0.29701364,0.27735576,0.25889614,0.24582154,0.24847479,0.27438414,0.32110238,0.3720787,0.40729794,0.41523877,0.40166667,0.37924924,0.3591002,0.3431438,0.3312885,0.32367617,0.32459065,0.33778146,0.36199167,0.38722622,0.397941,0.38617393,0.35890484,0.33762026,0.33845615,0.3615533,0.3875524,0.3985106,0.38751206,0.36457932,0.341037,0.32514998,0.31658235,0.31348097,0.3123254,0.31220284,0.31345895,0.318407,0.3271066,0.33744895,0.34650126,0.35596022,0.3706626,0.39319095,0.41750672,0.43284217,0.43300438,0.4213507,0.40632808,0.39370498,0.38491392,0.37957466,0.37716523,0.37636837,0.37408867,0.36855212,0.36012986,0.35258844,0.34818766,0.34749028,0.34759453,0.34711364,0.34591582,0.346122,0.34826437,0.3519044,0.35644722,0.3620211,0.36728525,0.3668853,0.35522306,0.33216512,0.30687347,0.29125723,0.29109505,0.30115107,0.31036127,0.3108907,0.3036604,0.29579106,0.2941936,0.300317,0.31119636,0.3218477,0.3286409,0.32909635,0.3232375,0.31317016,0.302922,0.297151,0.3010974,0.32079127,0.35708845,0.40086913,0.43277904,0.4382925,0.41795215,0.38688472,0.3595113,0.34003857,0.3239598,0.30720294,0.29278058,0.29100618,0.3103135,0.3481897,0.38669646,0.40724906,0.40320525,0.38563988,0.3686459,0.3590018,0.35404238,0.3495594,0.34546164,0.34462535,0.35037303,0.36147487,0.37258372,0.37535605,0.3669515,0.35284618,0.34662104,0.35705364,0.3814958,0.40431216,0.41164386,0.40020177,0.37936988,0.35994196,0.34636056,0.33621407,0.32517684,0.3123128,0.29912484,0.28845182,0.28087625,0.27534226,0.27047834,0.26925445,0.28020966,0.3119233,0.361838,0.4121925,0.44079268,0.43881658,0.41632295,0.39106777,0.37386915,0.36469188,0.3596531,0.3556687,0.3520693,0.3473716,0.3411404,0.33380482,0.32798108,0.32545075,0.32633114,0.32894227,0.3319067,0.33549157,0.34080994,0.3492985,0.36088404,0.37493852,0.3874897,0.39290592,0.38392556,0.3593991,0.32554176,0.29502037,0.27683473,0.27112603,0.26922527,0.26191497,0.24617904,0.22781146,0.21592051,0.2160455,0.22440577,0.23163539,0.23019207,0.22246887,0.21770173,0.22374701,0.23741698,0.24776351,0.24681924,0.24143083,0.25048402,0.28734085,0.34441283,0.39423028,0.41348305,0.3991423,0.36828008,0.3372834,0.31241181,0.290751,0.27188268,0.26091358,0.26799926,0.29914573,0.34890652,0.3980721,0.42532158,0.42310157,0.4007934,0.3757135,0.35764897,0.3483964,0.34461775,0.34569463,0.35202336,0.36397028,0.37772968,0.3863325,0.38296446,0.36841476,0.35243043,0.34948078,0.3654041,0.39393315,0.41922307,0.43216768,0.43327868,0.431839,0.4330633,0.43820322,0.44442296,0.45050785,0.4553369,0.4591932,0.46295038,0.46796927,0.47392347,0.47872946,0.48105356,0.48234162,0.48513332,0.48905596,0.49003616,0.48432425,0.47290918,0.46070424,0.4522353,0.44825843,0.44681695,0.4453595,0.44199324,0.43607053,0.4285477,0.42251554,0.4202515,0.42184484,0.42409113,0.4246073,0.42250848,0.41904855,0.415267,0.41226754,0.41162753,0.41411877,0.42015496,0.42741883,0.4340113,0.4364892,0.43441558,0.42814544,0.42030933,0.4114277,0.4008638,0.3876578,0.3727864,0.35892165,0.34853783,0.3433093,0.34318176,0.3470321,0.35224125,0.35657477,0.35891,0.36008134,0.36133656,0.3634002,0.36620212,0.37056383,0.37945554,0.39703897,0.42311,0.44967076,0.46339682,0.4565381,0.43324575,0.4060637,0.38508096,0.3710777,0.35893604,0.34481296,0.33185533,0.32893586,0.34279165,0.37195322,0.40388715,0.4257702,0.43142176,0.42630598,0.41873825,0.41413975,0.41211292,0.41071594,0.4100636,0.41301045,0.421819,0.43464193,0.44441712,0.44402078,0.4315786,0.41238832,0.39343297,0.3786699,0.36752924,0.3583971,0.34928092,0.33874825,0.32589096,0.31361935,0.30833244,0.31598678,0.33629212,0.36097813,0.37894842,0.3827252,0.37262046,0.35483757,0.33853093,0.33252844,0.34394518,0.37286445,0.41046703,0.43922582,0.44639394,0.42993096,0.4010334,0.37007025,0.34288144,0.31928122,0.30018756,0.28703955,0.28045234,0.28028128,0.28554317,0.29547513,0.30546764,0.31058276,0.3064673,0.29470786,0.27878037,0.26333934,0.25005147,0.24141471,0.24086578,0.25542104,0.28762093,0.33260417,0.3747845,0.4004563,0.4044427,0.39427224,0.38038364,0.36929598,0.3611604,0.3532116,0.34571517,0.3424742,0.34921077,0.36659423,0.38935983,0.4091059,0.42077127,0.42448592,0.42342535,0.4213085,0.42046478,0.42210102,0.4260483,0.43304363,0.4448661,0.46181992,0.47944188,0.48949337,0.48751983,0.4761169,0.46323898,0.45423603,0.4500643,0.44768956,0.4444368,0.4394175,0.43651962,0.4401307,0.4514846,0.4627193,0.4650704,0.45465484,0.4373213,0.42014623,0.40658617,0.39601412,0.38800907,0.3847878,0.3884063,0.39869928,0.4112272,0.41990772,0.42008984,0.4114871,0.39761385,0.38233027,0.36805114,0.3550347,0.34400928,0.33565417,0.3314043,0.3312832,0.33473828,0.3398386,0.3448604,0.34868464,0.35096857,0.35138354,0.34831443,0.3400353,0.32524464,0.30699995,0.29255798,0.2937435,0.31493697,0.34855744,0.3724167,0.37179554,0.34672913,0.31641448,0.29506066,0.2882843,0.28819212,0.28957677,0.28848565,0.28685677,0.28593028,0.28812805,0.2934591,0.30041766,0.3060138,0.30793044,0.3058037,0.30075392,0.29561317,0.29423425,0.3024486,0.32386303,0.3583604,0.3973426,0.43035516,0.44707933,0.44665048,0.43268564,0.4132208,0.3915657,0.36921576,0.34548244,0.3234143,0.3072339,0.30132604,0.30557144,0.31620106,0.3259467,0.32864174,0.32159832,0.308005,0.29379347,0.28376052,0.27860042,0.2770419,0.28016624,0.2943941,0.32642648,0.375381,0.42601955,0.45837,0.4598337,0.436698,0.40421155,0.37688872,0.3584971,0.34780756,0.34273434,0.34542656,0.361338,0.39333916,0.43537936,0.47021937,0.48140767,0.4655486,0.4345099,0.40445605,0.38310397,0.37004277,0.36135522,0.35692036,0.35920635,0.37016693,0.3875865,0.4042448,0.4138074,0.41402254,0.40917814,0.40381995,0.3999991,0.3954439,0.38800368,0.3779,0.3690206,0.3654079,0.36840203,0.3740953,0.37617376,0.3699843,0.3563135,0.3404424,0.32775286,0.3207097,0.3176444,0.31773457,0.32327107,0.34181014,0.37638068,0.42018393,0.45474616,0.46588007,0.45318678,0.43076512,0.4124216,0.40264872,0.39671814,0.38744447,0.37134925,0.35009918,0.33112836,0.32183865,0.32517344,0.33535054,0.34384954,0.34501633,0.34049237,0.3351235,0.33270773,0.33334282,0.33578935,0.34032905,0.35023856,0.36770377,0.39015946,0.40877044,0.41551426,0.4083812,0.39241827,0.3739822,0.356348,0.34035537,0.3260701,0.31528848,0.31055737,0.31418788,0.3255415,0.3398938,0.35094705,0.35417923,0.34905156,0.33761004,0.32292137,0.30825648,0.29649445,0.29149315,0.29870594,0.3238995,0.36460015,0.4071653,0.43237367,0.43220922,0.41369018,0.3919978,0.37595096,0.36635792,0.36024818,0.35739362,0.3607757,0.37535957,0.40213025,0.4349209,0.46062186,0.4701413,0.46426907,0.4525844,0.44247112,0.4350357,0.42702913,0.41720366,0.4074417,0.40246236,0.40538022,0.41538736,0.42483342,0.42465436,0.40993723,0.3844224,0.35641754,0.3336673,0.31987175,0.3149766,0.31633434,0.32047087,0.32531968,0.33110037,0.33893764,0.34795234,0.35558578,0.35924852,0.35900795,0.3565316,0.35438928,0.3542966,0.35837054,0.3691145,0.39016846,0.4209082,0.45380482,0.4741896,0.4721755,0.44878098,0.4161034,0.38498774,0.36041155,0.34148416,0.32723877,0.31667593,0.3083021,0.30075845,0.29377064,0.28835437,0.28286386,0.27438578,0.25989887,0.24094021,0.22142129,0.2056675,0.19555604,0.19278026,0.2005281,0.22366285,0.2618989,0.30724764,0.34457088,0.36455402,0.36793682,0.36549345,0.36528134,0.36882636,0.37184998,0.37165797,0.36883155,0.36603084,0.36459014,0.36412108,0.362649,0.35911617,0.35406518,0.34981903,0.34731618,0.34445226,0.3365712,0.32135117,0.30330953,0.29544106,0.31159085,0.35510814,0.41151226,0.457198,0.4761952,0.46996903,0.45158073,0.43269852,0.41818145,0.40731144,0.39912602,0.39309442,0.39188814,0.39613926,0.40384796,0.40540898,0.39473546,0.37153372,0.345297,0.32351112,0.3099132,0.30265912,0.3008101,0.30427316,0.31583032,0.33647093,0.36503944,0.3941554,0.417022,0.4291937,0.43281236,0.43060088,0.42453027,0.4138398,0.39721718,0.37383983,0.34530452,0.31768963,0.2994252,0.29653856,0.3070677,0.32353234,0.33801937,0.3480972,0.3549652,0.36165926,0.36927712,0.37975118,0.39543223,0.42134047,0.45673028,0.49372616,0.51595664,0.5144591,0.49192145,0.46320832,0.43952575,0.4247607,0.41520306,0.40768683,0.40019786,0.39294282,0.38645932,0.38228726,0.38012156,0.37743604,0.36973986,0.3549185,0.33474016,0.31418553,0.29746798,0.28621352,0.28020105,0.28054902,0.29115477,0.31520915,0.3509808,0.38916436,0.4195961,0.43558517,0.43876407,0.4336449,0.42607263,0.41850626,0.41116402,0.4016409,0.38747445,0.36853912,0.347002,0.32713184,0.31133166,0.3009125,0.29446426,0.2909644,0.2889924,0.28855285,0.29166803,0.3035864,0.3315889,0.37721708,0.4310162,0.47336864,0.4888687,0.47699043,0.45141852,0.4266976,0.4080137,0.39233956,0.37553322,0.359511,0.3518592,0.3626264,0.39272824,0.4303602,0.45297685,0.44706646,0.41484463,0.3737948,0.3378788,0.31295195,0.29544726,0.28309536,0.27614644,0.28054947,0.29898894,0.32836887,0.3548001,0.366909,0.36195204,0.35079756,0.3440913,0.34587753,0.3494734,0.34808555,0.33886608,0.3282006,0.32281545,0.32657847,0.33448866,0.34042963,0.3409171,0.33824956,0.33546492,0.33314505,0.32984006,0.3243198,0.31907868,0.31999698,0.3353152,0.36615467,0.40344676,0.42903015,0.43271616,0.41683188,0.3947939,0.37510833,0.36069587,0.35018647,0.34538174,0.34662962,0.35221756,0.35736525,0.35990575,0.3599087,0.35869756,0.35625398,0.35213804,0.34671953,0.34073886,0.33449706,0.32764676,0.32134613,0.32017246,0.3297187,0.35187364,0.37995157,0.402795,0.41173533,0.40666914,0.39359176,0.379006,0.36614907,0.35486975,0.34388962,0.3326502,0.32230532,0.31549695,0.31375742,0.316677,0.32124624,0.32515994,0.32688904,0.32683042,0.32520017,0.32314026,0.32297257,0.33000255,0.3518568,0.39230645,0.44475484,0.48983344,0.5083692,0.4948562,0.46177396,0.42764512,0.4026719,0.3866781,0.37435415,0.3649534,0.36318362,0.37620798,0.4056622,0.4419367,0.46964797,0.4768741,0.4658494,0.44658837,0.4300312,0.4190227,0.41277638,0.4094316,0.40994072,0.41593465,0.42613983,0.434821,0.43269992,0.41568425,0.387418,0.35882506,0.33838752,0.32876837,0.32661808,0.32767037,0.3293339,0.3317114,0.33665836,0.34545672,0.35707533,0.36776552,0.37407377,0.3745923,0.3706987,0.3635702,0.35338816,0.33992317,0.32751682,0.32630184,0.34767666,0.3914887,0.44143465,0.47275984,0.4725722,0.4468559,0.41388667,0.3865366,0.36731628,0.3511066,0.33335105,0.31242216,0.2910013,0.2751751,0.2709354,0.27925482,0.2933681,0.30436787,0.30715397,0.30374578,0.298268,0.29281402,0.2868724,0.28114942,0.28067175,0.29159245,0.31513694,0.3429668,0.36142266,0.36123273,0.3430185,0.3162129,0.2901727,0.27053347,0.25618535,0.24435185,0.23306979,0.22691764,0.23217379,0.25267175,0.28148648,0.3078861,0.32203022,0.32400116,0.317894,0.30968213,0.30078778,0.29260945,0.28790233,0.29563496,0.32112795,0.3596051,0.39021826,0.39397871,0.3666276,0.32373878,0.28370097,0.25482747,0.23448896,0.21803707,0.20813288,0.21376322,0.24409962,0.29567382,0.3492373,0.37847844,0.37035504,0.33235702,0.28463858,0.24192931,0.20893139,0.18433292,0.16995029,0.17070115,0.19276108,0.2348554,0.28672874,0.32863593,0.3458463,0.33419526,0.30429593,0.26873788,0.23768258,0.21414019,0.19898672,0.19209915,0.19411631,0.20511837,0.22255647,0.24092506,0.25372902,0.25853,0.25795174,0.25733042,0.2605721,0.26936498,0.28625682,0.31441832,0.35713264,0.41092145,0.46546245,0.504266,0.51543576,0.49894384,0.46658143,0.43294552,0.40498447,0.38324034,0.36535522,0.35165906,0.34267607,0.33938518,0.34139574,0.34756842,0.35446498,0.3589544,0.36004695,0.36024502,0.36196062,0.3655554,0.36865664,0.36961225,0.36942044,0.37312844,0.385798,0.40813032,0.43302938,0.4502553,0.45351794,0.44478765,0.43103012,0.41772652,0.40570888,0.39205384,0.37431815,0.353543,0.33570024,0.32815555,0.334555,0.3508354,0.36844102,0.3802488,0.3852967,0.38689113,0.38869777,0.39134488,0.3946313,0.40015396,0.41440126,0.44037557,0.472469,0.49245825,0.48656306,0.4541192,0.41101286,0.37274507,0.34674874,0.3311592,0.32333076,0.3245032,0.34031793,0.37484062,0.4224069,0.46449006,0.48095727,0.46492472,0.42877713,0.3914539,0.3653765,0.35107636,0.34489202,0.34428546,0.35063252,0.36614835,0.3898969,0.41548976,0.43206093,0.43299273,0.41945612,0.40085927,0.38526252,0.37599126,0.37052894,0.3654497,0.35853735,0.35033676,0.343562,0.34078574,0.34144995,0.34105098,0.3346617,0.32123217,0.3046657,0.29083225,0.2834028,0.2832683,0.29108575,0.3109628,0.34737352,0.39694917,0.4438558,0.46804857,0.46179688,0.43506828,0.4062475,0.3860056,0.3740261,0.36486495,0.35540393,0.3448533,0.33259913,0.3180267,0.30205974,0.28735152,0.2760869,0.26931491,0.2677724,0.27358043,0.28824803,0.310184,0.33420047,0.35552692,0.37394288,0.39240122,0.41248342,0.42997587,0.43782368,0.43084612,0.4100347,0.38143003,0.3526906,0.32913613,0.31214514,0.3007321,0.29497576,0.29737234,0.31033978,0.3322722,0.3564264,0.37529412,0.384627,0.38585553,0.3825352,0.37839553,0.3749149,0.37388763,0.37829122,0.39345944,0.42081586,0.45366195,0.47691476,0.47903535,0.4604309,0.432578,0.4065049,0.38545874,0.36706647,0.3495791,0.3355162,0.3301727,0.33615148,0.3494955,0.3585671,0.35347334,0.3322794,0.303643,0.27712905,0.2577352,0.24454759,0.23625095,0.23473491,0.24439734,0.26868883,0.30387184,0.33942804,0.36185196,0.36571082,0.35472617,0.33924732,0.32578,0.316497,0.30997068,0.30663443,0.30814287,0.3166983,0.3323345,0.35203698,0.37062347,0.38332823,0.38904965,0.3900739,0.39019537,0.39098838,0.39143863,0.38979253,0.3877565,0.39168414,0.40626144,0.42744565,0.44014648,0.4318006,0.40170857,0.36417064,0.3327358,0.31373587,0.30290866,0.29590464,0.2893542,0.28459254,0.28400373,0.2920132,0.30994895,0.33512107,0.36033192,0.37988946,0.39189878,0.39858946,0.40192625,0.40285328,0.40204343,0.40216732,0.40727055,0.41836825,0.43168414,0.4387784,0.43518284,0.42213306,0.40727353,0.3956548,0.3885852,0.38282415,0.37598455,0.36769485,0.36095512,0.35980186,0.36712864,0.3814306,0.39795434,0.41077235,0.41728678,0.4177183,0.4149976,0.4114311,0.40916955,0.41019705,0.41828814,0.43789136,0.46836972,0.50015754,0.51669675,0.5075132,0.4763182,0.4383671,0.40828872,0.39058915,0.3824725,0.37924445,0.38102767,0.3913083,0.41168514,0.43742287,0.45582357,0.45800164,0.44264007,0.41997334,0.39813653,0.3818129,0.36846745,0.35720095,0.34802926,0.34504393,0.35156134,0.36814937,0.3882219,0.40192416,0.4023608,0.39126158,0.37629935,0.36485347,0.35937318,0.3581071,0.35861585,0.36050603,0.36545637,0.37452766,0.38607526,0.3962004,0.40203333,0.403389,0.40215597,0.39968297,0.39622518,0.39058128,0.38242534,0.37343827,0.36995062,0.37723723,0.39522016,0.4129903,0.4187627,0.4066927,0.38355902,0.35958862,0.3423771,0.33197019,0.32562423,0.32163486,0.3214444,0.32810327,0.34326163,0.36596456,0.39145362,0.4139931,0.4283713,0.4336864,0.432054,0.42762032,0.4226551,0.4165847,0.40639985,0.38969436,0.36787054,0.34624144,0.3307191,0.3230689,0.3195838,0.31487802,0.30630282,0.29604053,0.28766772,0.28351584,0.28372017,0.28886536,0.30091617,0.32137084,0.34843493,0.37613273,0.39787653,0.41004756,0.4141111,0.4143102,0.41468486,0.416801,0.4200157,0.42291614,0.42461506,0.42492807,0.4237547,0.42026648,0.41342077,0.40286192,0.3897995,0.37599277,0.36228713,0.34807357,0.33261803,0.3167728,0.30319342,0.2946074,0.29212382,0.2943871,0.2990239,0.30358884,0.30660424,0.30657408,0.30206576,0.29174566,0.2756312,0.2549292,0.23154683,0.20689936,0.18186736,0.15687114,0.13255201,0.10967354,0.08914899,0.071599305,0.057405725,0.046676975,0.039332446,0.035131197,0.03382342,0.0353992,0.039790127,0.04624505,0.052778076,0.056838542,0.056737322,0.052955214,0.048067827,0.045586318,0.049009573,0.06295844,0.094550274,0.15171666,0.23399009,0.32560718,0.39848855,0.43161777,0.42510998,0.39958036,0.37669244,0.3664073,0.3655559,0.36846367,0.37156495,0.37409306,0.37475154,0.3726385,0.36839166,0.36484352,0.3647031,0.36841333,0.37355438,0.3777672,0.3799295,0.38134775,0.38309503,0.38704792,0.3950822,0.40783235,0.42238232,0.43246952,0.43528044,0.4323884,0.42790642,0.42040625,0.40496406,0.37819812,0.34416685,0.31170356,0.28885558,0.27823105,0.27716526,0.2803713,0.28373012,0.28600648,0.28902587,0.2953831,0.30624327,0.31893566,0.32818463,0.33064044,0.33073413,0.3393228,0.36320123,0.3961494,0.42170978,0.42875192,0.41915044,0.40388557,0.390175,0.37965417,0.3710122,0.3656896,0.3662112,0.37733817,0.40236303,0.44093218,0.4834775,0.51703364,0.5319888,0.5292742,0.51584524,0.49972928,0.48503506,0.473034,0.4634368,0.45697808,0.45426854,0.45395207,0.45038772,0.43844524,0.41960487,0.4056554,0.4097427,0.43453482,0.4655474,0.48218048,0.47306684,0.44497678,0.41335404,0.38958547,0.37441984,0.36346558,0.35372874,0.3448471,0.33697662,0.32877386,0.31947112,0.30947128,0.3019019,0.30215564,0.31767347,0.35152003,0.3961157,0.4332222,0.44668806,0.4353142,0.41254616,0.3937979,0.38473198,0.38241473,0.38198003,0.3809879,0.3784728,0.37322566,0.36521915,0.3556808,0.3475118,0.34268478,0.3420689,0.34459713,0.3482699,0.35120404,0.35283506,0.35506913,0.36067596,0.3716621,0.3848227,0.392795,0.38664243,0.36502504,0.3348302,0.30819643,0.29152593,0.2834312,0.27632883,0.2650232,0.249596,0.23645759,0.2315691,0.23557167,0.24076061,0.2385512,0.22729565,0.21511443,0.21144517,0.21738285,0.22438069,0.22400439,0.21999955,0.2297303,0.27063465,0.3408413,0.4136579,0.45458075,0.4480532,0.4071659,0.35953107,0.3245865,0.30530393,0.29491988,0.2888426,0.28970057,0.3063607,0.34261563,0.39057693,0.42887807,0.4420277,0.42923832,0.40613136,0.38521695,0.37063858,0.3587067,0.34893548,0.3440527,0.34881058,0.36298826,0.38194188,0.39513972,0.39603305,0.38482955,0.37374225,0.3745842,0.39153543,0.41286132,0.42332423,0.41389623,0.3915336,0.36822823,0.35445395,0.35039535,0.35321915,0.35742292,0.36053213,0.36046946,0.35842314,0.35605952,0.3555977,0.35899675,0.370365,0.39588848,0.43676814,0.48356447,0.5168397,0.52304643,0.503576,0.474028,0.44835702,0.43140545,0.41975856,0.4096365,0.39991072,0.39138603,0.38527778,0.38244745,0.38340235,0.38759395,0.39376462,0.40018332,0.40550438,0.40826228,0.40674353,0.39914116,0.38640907,0.3731452,0.36697617,0.3716215,0.38533935,0.39995572,0.4088056,0.40735602,0.39640793,0.37837133,0.3578886,0.33864924,0.3229798,0.31150666,0.30407515,0.30041698,0.29997763,0.30245414,0.3076515,0.31463525,0.32131925,0.32460567,0.3214692,0.30932346,0.28889236,0.2679832,0.26239523,0.28682294,0.34104753,0.4043541,0.44740376,0.45348218,0.42867732,0.39488855,0.37134382,0.36390784,0.3649802,0.3645281,0.3606181,0.36273298,0.38198686,0.41762558,0.4533799,0.4698498,0.45950246,0.43037334,0.39659193,0.3683271,0.34872237,0.33754817,0.33493972,0.3426169,0.36021963,0.38326252,0.40357187,0.41722384,0.4266211,0.43907237,0.45669174,0.47506115,0.48526183,0.48276672,0.46914926,0.45028403,0.43117368,0.41374063,0.39820027,0.384039,0.37086943,0.3571433,0.34175172,0.3259507,0.31434378,0.3113681,0.318061,0.33236125,0.3542153,0.38382402,0.41739956,0.44238126,0.44745207,0.43129548,0.40500915,0.38089752,0.36414245,0.35285535,0.34372056,0.33595303,0.33088872,0.32990205,0.33370653,0.3411717,0.35075235,0.35977855,0.3667394,0.3712555,0.37510574,0.38035616,0.38725483,0.39437756,0.39968446,0.40341997,0.40492275,0.4018658,0.38883302,0.364624,0.33368078,0.30536988,0.28480566,0.2703897,0.25556692,0.23704165,0.21808237,0.20709135,0.20919235,0.22121972,0.23179321,0.23153079,0.22021978,0.20763029,0.20297891,0.20678334,0.21049981,0.20780243,0.20472918,0.22063339,0.2705935,0.3480431,0.42004144,0.45226887,0.4340154,0.38598058,0.33770457,0.3051658,0.28534022,0.26909733,0.255084,0.25261995,0.27429968,0.32320705,0.38520002,0.43599257,0.4569012,0.4494947,0.42850947,0.41060165,0.40041915,0.39637184,0.39385703,0.39238754,0.3926579,0.39437887,0.3945336,0.3875083,0.37263647,0.35503623,0.3471612,0.35593748,0.37955442,0.4037496,0.41659155,0.4128565,0.3996099,0.3837566,0.3709058,0.3608127,0.35477093,0.3524178,0.35378122,0.35577688,0.35658613,0.35440764,0.3497961,0.34467626,0.34581685,0.3626002,0.39853284,0.44215497,0.4690428,0.46080503,0.41913852,0.36393455,0.31442904,0.27794504,0.2520534,0.23353845,0.22191899,0.21773948,0.22065242,0.22925563,0.24064668,0.25085056,0.25559333,0.2525746,0.2421904,0.22760673,0.21319072,0.20307909,0.20002836,0.20581974,0.22067869,0.24226284,0.2636296,0.2760512,0.2729934,0.25489804,0.22725181,0.1973627,0.16993503,0.14719665,0.13030937,0.12174765,0.12512316,0.14148165,0.16629621,0.18964402,0.20320566,0.20499676,0.20027395,0.1958062,0.19589333,0.20088886,0.20865846,0.2163776,0.22163694,0.22369649,0.22293603,0.22044657,0.21675837,0.21244945,0.2081425,0.20475541,0.2025342,0.20103854,0.19944252,0.19713466,0.1933629,0.18647826,0.17391549,0.15389411,0.12758933,0.09988216,0.07670478,0.061800625,0.054508243,0.05168177,0.05081745,0.05386283,0.06752505,0.09952631,0.15090096,0.21175845,0.26475358,0.29612207,0.3027854,0.2921063,0.27405205,0.25617352,0.24184524,0.23183767,0.22492349,0.21789402,0.20651291,0.18741314,0.16085738,0.13097586,0.1038948,0.083934434,0.071814805,0.06503843,0.060525343,0.05734301,0.058356572,0.0696448,0.095600665,0.13402343,0.17443317,0.2052031,0.22103827,0.22580051,0.22638838,0.22690797,0.22723584,0.22616254,0.22372012,0.22099507,0.21929789,0.21929483,0.22117954,0.22409563,0.22683758,0.22802804,0.22712936,0.22425865,0.22024554,0.2161098,0.21343333,0.21449208,0.22250073,0.23857166,0.2594603,0.27617815,0.27997467,0.26713732,0.2419551,0.21172333,0.18268222,0.1575244,0.1374705,0.12392699,0.11954843,0.1264313,0.14360785,0.1652174,0.18309341,0.19169937,0.19136286,0.18663502,0.18201888,0.17965156,0.17967416,0.18171807,0.185203,0.1890397,0.19151543,0.19110422,0.18746044,0.18212055,0.17757048,0.1757706,0.17657119,0.17821683,0.17855497,0.1765988,0.17238174,0.16608821,0.15713644,0.14475492,0.12952279,0.11426988,0.10289482,0.09801186,0.09925443,0.10382966,0.1080524,0.11011087,0.11233181,0.122088395,0.14716387,0.18846984,0.23589848,0.2737734,0.29113352,0.28756222,0.27057108,0.24879812,0.22915648,0.21694636,0.217272,0.23272169,0.26159668,0.29720291,0.3312857,0.35716927,0.37198004,0.37680158,0.37568638,0.37391916,0.3744062,0.3762966,0.37638152,0.37544024,0.38125983,0.40448138,0.4456474,0.48893586,0.5096503,0.49469307,0.45234248,0.40585348,0.37461033,0.3636341,0.36513564,0.3698984,0.37715086,0.39545742,0.4305677,0.47400436,0.50372034,0.50283813,0.47306326,0.43326768,0.40276122,0.38953426,0.3892139,0.39175427,0.38973626,0.38188192,0.37344936,0.36934054,0.37082484,0.3734996,0.3730462,0.36769745,0.36019993,0.35471168,0.35260725,0.35039356,0.3416743,0.32483163,0.3057487,0.29476514,0.29720685,0.3099134,0.32373664,0.33172163,0.33250406,0.330691,0.33070603,0.33391157,0.33710024,0.3383577,0.34010518,0.34784374,0.36366925,0.38309047,0.39935997,0.40861568,0.41212866,0.41208282,0.40940127,0.40127376,0.38367248,0.352753,0.31142136,0.27006602,0.24528016,0.2496608,0.28463086,0.3375999,0.38885108,0.42296883,0.43519545,0.4306806,0.41602278,0.3966639,0.3774282,0.36593828,0.3685076,0.38516006,0.40750143,0.424763,0.42977226,0.42163602,0.40221143,0.37461916,0.34151044,0.3067821,0.27367753,0.2457516,0.22613148,0.21788812,0.22191225,0.23496045,0.251138,0.2639685,0.2701393,0.2691066,0.26375607,0.25934148,0.26438406,0.288797,0.33770028,0.40181664,0.45584276,0.47225693,0.44240257,0.3822193,0.31774965,0.26488703,0.22520031,0.19456446,0.17493695,0.17606342,0.21167493,0.28248397,0.3677245,0.42714,0.4326116,0.3864272,0.31980374,0.26191786,0.22356445,0.19934732,0.18345939,0.17630506,0.18192337,0.20146681,0.23004048,0.25708827,0.2720829,0.2692858,0.2505807,0.22197272,0.1905816,0.16144328,0.13877295,0.12753254,0.13550244,0.1697995,0.22932096,0.30080336,0.36393324,0.40512463,0.42383513,0.4294877,0.43114904,0.432338,0.4327561,0.43104187,0.42791343,0.42506102,0.42544463,0.43128347,0.44308305,0.45920983,0.476203,0.49053004,0.49962702,0.50241715,0.49935094,0.49041486,0.47685024,0.45968518,0.44267824,0.42850348,0.41974863,0.41590205,0.415886,0.41816005,0.42101476,0.42072168,0.41143677,0.38989314,0.36120853,0.33808842,0.33304608,0.3480475,0.37507868,0.40157476,0.4194642,0.42535016,0.41994908,0.40451017,0.3803508,0.3479265,0.30862418,0.26788542,0.23617323,0.22500111,0.24012053,0.27670422,0.32229343,0.36132276,0.38325593,0.38420245,0.36917198,0.34679595,0.3268222,0.3184779,0.33215067,0.37489346,0.43795267,0.49308315,0.5066606,0.46746317,0.39383438,0.31777593,0.25885704,0.21891195,0.19186115,0.17829764,0.18762493,0.23256294,0.31121543,0.40015665,0.45951116,0.46460596,0.42027733,0.35612383,0.2973849,0.2542334,0.22707103,0.21863633,0.23369527,0.27079856,0.3194197,0.36440423,0.39570892,0.41146362,0.41678476,0.41646686,0.41203466,0.40005878,0.37671986,0.3409063,0.29810038,0.25840235,0.23342319,0.23013858,0.24776028,0.27603152,0.29984877,0.30644622,0.29275677,0.26547512,0.23525357,0.21039583,0.19606276,0.19729422,0.22024243,0.26701713,0.3309108,0.39491212,0.44072756,0.45623943,0.44249877,0.40949604,0.3715178,0.33863363,0.3155125,0.30147186,0.29556915,0.29741982,0.30763987,0.32482663,0.3460199,0.36744604,0.38651028,0.4010637,0.4090078,0.40842962,0.40000328,0.3872832,0.37661067,0.3735915,0.38185573,0.39997542,0.4234426,0.44520226,0.46043196,0.466095,0.4627122,0.45123616,0.43382132,0.41190466,0.3877424,0.36386082,0.3430408,0.32652685,0.31335533,0.3012866,0.28894365,0.27665186,0.26577088,0.25703755,0.25033963,0.24722755,0.25459096,0.28537098,0.34784272,0.43273675,0.5095622,0.5470857,0.5361432,0.4958749,0.45424786,0.42749336,0.41509685,0.40816537,0.40087995,0.39561906,0.40353036,0.43198487,0.47369018,0.50415707,0.50323117,0.47087643,0.42848018,0.3971198,0.3838173,0.3812587,0.3796896,0.37489268,0.36797944,0.36169878,0.3567207,0.3518962,0.3446029,0.33250225,0.31401622,0.2901372,0.2642173,0.24155408,0.2266118,0.22227961,0.22922863,0.24700992,0.27277303,0.3004779,0.32171115,0.32967296,0.3229942,0.30554235,0.28420553,0.26470008,0.25012034,0.2397784,0.2334193,0.23363215,0.24572502,0.2710934,0.30414224,0.33546793,0.35850307,0.37180772,0.376568,0.374375,0.3678541,0.36107466,0.35867885,0.3631738,0.37460878,0.39087334,0.41039762,0.43251184,0.45717132,0.4812146,0.49940005,0.50656027,0.503788,0.49526775,0.48530653,0.47162303,0.4515597,0.4248061,0.39844325,0.37812936,0.3640333,0.3477868,0.321064,0.28241417,0.23962474,0.20440151,0.18521224,0.18462372,0.2008122,0.23026152,0.26821998,0.30731532,0.33978108,0.3604535,0.37050438,0.3741654,0.37536478,0.37416995,0.37099043,0.3708177,0.38561478,0.42274022,0.47328886,0.5086579,0.5024696,0.45107996,0.3779696,0.31131276,0.26505503,0.23634903,0.21861023,0.21249549,0.22729973,0.27260295,0.3438131,0.41566446,0.45321247,0.4381574,0.38220486,0.31615117,0.26424316,0.23214597,0.21327148,0.20147927,0.19634217,0.20016168,0.21337466,0.23183434,0.24822061,0.25614998,0.25464752,0.24970908,0.25058618,0.26405683,0.28901744,0.3178681,0.34166324,0.3570753,0.367144,0.37785983,0.3921927,0.40774977,0.41754237,0.41393974,0.39241517,0.35425577,0.30609974,0.25783026,0.22013743,0.20256156,0.21264476,0.25076059,0.31038025,0.3750845,0.43059084,0.4653481,0.4816768,0.48512173,0.48530555,0.481841,0.46959662,0.44012022,0.39460456,0.3441465,0.3047118,0.28589773,0.28587165,0.29543293,0.30485868,0.30972317,0.30945066,0.30556473,0.2993401,0.29332936,0.29209945,0.3008288,0.32186782,0.35164714,0.38361558,0.41190043,0.43524277,0.4531425,0.46438718,0.46421924,0.44991943,0.420064,0.37878564,0.33156326,0.2889532,0.26035836,0.2536252,0.2676115,0.295449,0.3255417,0.34839344,0.3571897,0.35074306,0.33455583,0.32347754,0.33763877,0.38772473,0.46223792,0.5271321,0.55216074,0.5316173,0.49053285,0.45940045,0.45544055,0.47320232,0.49917087,0.52195793,0.54120106,0.5589217,0.5732758,0.57254773,0.54538333,0.4905012,0.4208772,0.35408294,0.30168453,0.2655499,0.24232566,0.22860533,0.22386502,0.22940405,0.24634296,0.2718099,0.29875556,0.3183557,0.3253697,0.3200798,0.30772975,0.2936811,0.281433,0.27028313,0.25941554,0.24766876,0.23624481,0.22462827,0.21229307,0.19781913,0.18254215,0.16896574,0.15973468,0.15495451,0.15370722,0.15619715,0.16635375,0.19002233,0.23143673,0.2872707,0.3472614,0.39844075,0.4338647,0.45284483,0.45760775,0.44963494,0.43208805,0.41344866,0.4031993,0.40616432,0.4161036,0.42047504,0.4064443,0.3700939,0.3176924,0.2620246,0.21363677,0.17629816,0.14776397,0.1252069,0.10871186,0.102518976,0.11267666,0.14218439,0.18635702,0.23198085,0.26536015,0.28066185,0.28281823,0.27926934,0.2719352,0.25653508,0.23099047,0.20222168,0.1849554,0.19209796,0.22613974,0.27679673,0.32749748,0.363934,0.37976977,0.376395,0.35915485,0.33430812,0.30742773,0.2862629,0.281412,0.30593884,0.36224583,0.43566993,0.49514738,0.5176127,0.5017604,0.46732983,0.43371996,0.40774822,0.3862952,0.36606732,0.3515534,0.35349694,0.3820641,0.43310452,0.48376608,0.50454915,0.48291647,0.43126845,0.37453118,0.32845464,0.29461738,0.26760584,0.24631095,0.23590766,0.24345951,0.27145326,0.31319034,0.35698473,0.39237437,0.41683802,0.43207332,0.44012335,0.4401394,0.43154892,0.41500244,0.3923969,0.36532775,0.33651793,0.30957973,0.28881514,0.275553,0.26797247,0.26068142,0.24866076,0.22991627,0.20846784,0.19234502,0.18932045,0.20157422,0.22526865,0.2527332,0.27687553,0.29318237,0.3017369,0.30658105,0.313248,0.32441664,0.33769834,0.34714222,0.3481318,0.3416731,0.3360242,0.34102878,0.36160266,0.3923799,0.42297283,0.44416237,0.45407143,0.45562696,0.45316878,0.44842115,0.4406482,0.4290073,0.41543928,0.40490076,0.4017651,0.40570334,0.4113513,0.41134024,0.40093672,0.37918368,0.34941277,0.31671667,0.2866994,0.26308045,0.24820967,0.24341607,0.24864538,0.26092616,0.27434984,0.2837342,0.28702697,0.2847103,0.27558258,0.25710544,0.22871636,0.19965814,0.18861406,0.21802099,0.2927645,0.3906783,0.4668889,0.4887574,0.4558487,0.3987185,0.34759986,0.31476414,0.29413864,0.27824566,0.26880997,0.2789863,0.31967703,0.38459814,0.44418332,0.466347,0.44070932,0.38654196,0.3320694,0.29301515,0.26790187,0.25002703,0.23710845,0.23183562,0.23599584,0.2472015,0.2585974,0.2632039,0.25717208,0.24164206,0.22017954,0.19623213,0.17192836,0.1488172,0.12944853,0.11746683,0.117455564,0.13096069,0.1546371,0.17930894,0.19686793,0.20397724,0.2040887,0.20160727,0.19960313,0.1986079,0.1990382,0.20093422,0.20341866,0.20410304,0.2003808,0.19131021,0.17866741,0.16622072,0.15755804,0.1541446,0.15492286,0.1575845,0.16062544,0.16747592,0.18797486,0.23575883,0.31141874,0.39310148,0.4405742,0.4305528,0.37779796,0.33106926,0.32702044,0.36205053,0.39426175,0.3894454,0.34806713,0.30598715,0.29448995,0.3197855,0.35768533,0.38426587,0.3895755,0.38869938,0.39779904,0.42097887,0.438084,0.4273819,0.3825879,0.32033992,0.260803,0.2127579,0.17262314,0.1360695,0.10461124,0.082927346,0.07403245,0.07878358,0.09750042,0.13062425,0.17762683,0.23746361,0.3090494,0.38713875,0.460042,0.5097273,0.5256067,0.50951296,0.47739318,0.44398847,0.41824222,0.3996153,0.3861033,0.37577704,0.369913,0.3704336,0.37852943,0.39211258,0.40668634,0.4183366,0.4259143,0.43085322,0.43467543,0.43798867,0.44066715,0.4428778,0.44560447,0.44996035,0.45577118,0.46071768,0.46205327,0.45993984,0.45763502,0.45884863,0.4631468,0.4667985,0.46416283,0.4525701,0.4328972,0.41228458,0.3998897,0.40255043,0.4184524,0.4388008,0.45411482,0.4594833,0.45562133,0.44488943,0.43069312,0.41768202,0.41219488,0.42023358,0.4409319,0.466411,0.48248503,0.48194885,0.4669914,0.44944236,0.43677795,0.42913148,0.42070273,0.40906823,0.39816272,0.39664638,0.41206026,0.44279966,0.47595188,0.49258173,0.4831606,0.45380402,0.4220502,0.4007692,0.39175025,0.38748065,0.38263395,0.37823024,0.3818746,0.39757788,0.42229655,0.4445933,0.4556302,0.45338592,0.4443027,0.43514118,0.42919764,0.42516223,0.42029956,0.41295698,0.4039034,0.39653805,0.39414534,0.39711,0.400901,0.40030575,0.3930647,0.38250753,0.3734804,0.3693217,0.37010467,0.3758696,0.38877034,0.41324887,0.44832727,0.4848691,0.5065901,0.5056148,0.48677504,0.4659374,0.45387292,0.45189455,0.45325255,0.4514875,0.4433278,0.42852697,0.4093103,0.38886333,0.37145376,0.3592745,0.35348177,0.353111,0.35848448,0.36960462,0.38628647,0.4062282,0.42683813,0.44682667,0.46600747,0.4834497,0.49533728,0.49679136,0.48515272,0.46317124,0.4378188,0.4163076,0.40167797,0.39262414,0.3862507,0.3824562,0.38457966,0.39640447,0.4174995,0.44100097,0.45856896,0.46521258,0.46341908,0.45755115,0.45132613,0.44440556,0.43823016,0.43631306,0.4455335,0.46730712,0.49469534,0.51261824,0.51068383,0.49087277,0.46556354,0.44512537,0.43044636,0.41635165,0.3998576,0.38507447,0.3814397,0.3968941,0.42815173,0.45841706,0.46604887,0.4434924,0.40155497,0.36094114,0.33288696,0.31676957,0.30588272,0.29928493,0.3019422,0.320526,0.3539529,0.39204213,0.41914907,0.42720678,0.42006585,0.41092387,0.40957674,0.41676894,0.4256529,0.4293941,0.4268435,0.42224333,0.42164648,0.42725313,0.43709588,0.4469892,0.45556185,0.4635069,0.4731394,0.48430517,0.49538288,0.5020311,0.5020949,0.498034,0.4982699,0.50800085,0.5223436,0.5265637,0.510511,0.47621262,0.4371097,0.4040945,0.38156697,0.36714944,0.35907564,0.35629392,0.35950625,0.36905098,0.384907,0.4045956,0.4238222,0.43800893,0.4459904,0.4494445,0.4514102,0.4529151,0.45415708,0.45546043,0.4579493,0.46139017,0.46293142,0.45920965,0.4494326,0.4368457,0.42572308,0.41819036,0.413692,0.41134813,0.41151866,0.4145931,0.41893014,0.42130604,0.4193727,0.4143385,0.41002944,0.4100442,0.4149313,0.42232656,0.42965916,0.43555775,0.44050315,0.4457698,0.45435944,0.47022247,0.4943975,0.52123135,0.53798836,0.534851,0.51171976,0.48055503,0.4542687,0.43980142,0.4352684,0.43658257,0.44136012,0.45094958,0.46603432,0.48223305,0.48849395,0.47508514,0.4435954,0.40824345,0.3845161,0.37696335,0.37846434,0.37994966,0.37860703,0.3782008,0.38330436,0.39338124,0.40287307,0.40430012,0.3964764,0.38411227,0.37598243,0.37569806,0.381766,0.38864264,0.39317033,0.3950088,0.39635465,0.39921224,0.40523493,0.41459188,0.42598236,0.43615308,0.44260883,0.44492814,0.44494772,0.44432616,0.4439855,0.44676736,0.45750526,0.47990632,0.5070874,0.5235173,0.51328677,0.47671974,0.4285407,0.3880802,0.36355388,0.35271332,0.34879658,0.34794393,0.3497062,0.35582986,0.36888826,0.38957497,0.41511622,0.4387938,0.45499066,0.4615061,0.4612209,0.45699438,0.45005253,0.43936583,0.4259956,0.41525856,0.41316608,0.42143533,0.43289745,0.43808594,0.4305036,0.412693,0.39103523,0.37270963,0.3609182,0.3567065,0.35917723,0.36741892,0.38029042,0.39692461,0.41616368,0.4364934,0.45474398,0.4672935,0.4704456,0.46490446,0.4545488,0.44628808,0.44487372,0.45360723,0.47368965,0.5027012,0.53166884,0.5466158,0.5387943,0.5116721,0.4787871,0.45208916,0.43438962,0.4210055,0.40775546,0.39671922,0.3967677,0.4147763,0.44764182,0.47848296,0.48975083,0.4750122,0.44446886,0.41279316,0.38944864,0.37477484,0.36581346,0.36076674,0.36038435,0.36683893,0.3793597,0.3936229,0.40185916,0.40106964,0.3938178,0.38773742,0.38653806,0.38956833,0.39267138,0.39468452,0.39741287,0.40514043,0.4190118,0.4362075,0.44943562,0.45382282,0.44981822,0.4438621,0.4408405,0.43954456,0.43348253,0.41830328,0.3966756,0.37619987,0.3626614,0.35618976,0.35291255,0.34949943,0.3450762,0.3403537,0.33578312,0.33114788,0.32636,0.3217641,0.3178458,0.3145912,0.31169224,0.3093522,0.30818167,0.30858245,0.30945662,0.30898306,0.30577746,0.30013597,0.29350522,0.2868744,0.28011,0.27194384,0.26308224,0.25729838,0.26067874,0.2759762,0.2993766,0.32275352,0.3392706,0.34767115,0.34952533,0.34663537,0.3384428,0.32449827,0.30577084,0.28609136,0.27063087,0.26324448,0.26404324,0.26899943,0.2732956,0.27389517,0.2712177,0.26674333,0.2620637,0.2580289,0.25642326,0.26012328,0.27180326,0.29138374,0.31462297,0.3354106,0.34907925,0.3543382,0.35205102,0.3424175,0.32522967,0.30040672,0.27174756,0.24522793,0.22803073,0.2230124,0.22911505,0.24230771,0.25918964,0.27733314,0.29399714,0.30633202,0.31151173,0.30929962,0.30215675,0.2960962,0.29773474,0.31058988,0.33184877,0.353876,0.36834025,0.36982313,0.35654965,0.33103597,0.299742,0.27135202,0.25197938,0.24235044,0.2387498,0.23660605,0.23354799,0.23002367,0.22946912,0.23534721,0.2483147,0.2640638,0.27642605,0.2813644,0.27848235,0.2699857,0.25890464,0.24923259,0.24400444,0.24330215,0.24352145,0.23991627,0.23012584,0.21447486,0.19515502,0.17430419,0.15407403,0.13600142,0.12085689,0.108724125,0.09944893,0.093170494,0.08946317,0.08746746,0.08557872,0.08297686,0.07932853,0.07533977,0.071368754,0.06844798,0.06861749,0.07664356,0.09732769,0.13170038,0.1731038,0.21005793,0.2327408,0.23829766,0.23055404,0.21555115,0.19849372,0.18237698,0.16977112,0.16395245,0.1694088,0.18896402,0.22028165,0.25541916,0.28458175,0.3021642,0.30825853,0.3073478,0.30372098,0.30080724,0.3011972,0.30890194,0.32783368,0.35859025,0.3952794,0.4272875,0.445871,0.44943962,0.44339144,0.4347894,0.42780745,0.42261684,0.41653347,0.40592352,0.389165,0.36887285,0.35197362,0.3441626,0.3466486,0.3546833,0.36275443,0.36598125,0.36208317,0.3499726,0.33145586,0.31124544,0.29600638,0.29184473,0.30066934,0.31940046,0.33980894,0.35299397,0.3517499,0.33320495,0.29866448,0.25415197,0.20947473,0.17483272,0.15787916,0.1625643,0.1894449,0.23462208,0.28754577,0.33472833,0.3651581,0.37643322,0.3722166,0.35843837,0.33887264,0.3153901,0.28945264,0.26407653,0.24360585,0.23074234,0.22343244,0.21545756,0.20112805,0.17959075,0.15452076,0.13061927,0.11052552,0.09467283,0.08231419,0.072825156,0.06608975,0.062424432,0.061617613,0.06215739,0.061521787,0.057652,0.050332088,0.042068765,0.038149204,0.046563894,0.0746842,0.12477195,0.18947937,0.25473458,0.30631518,0.33769956,0.35076275,0.35254788,0.3485559,0.34009218,0.32373333,0.2971214,0.26260436,0.22994328,0.20984809,0.2082321,0.22089861,0.23782861,0.24913295,0.25127637,0.24659877,0.23960386,0.23306185,0.22724219,0.22211735,0.21901292,0.2216111,0.2336057,0.25664774,0.2868614,0.31645063,0.33621404,0.3412952,0.33252028,0.31600246,0.29898116,0.2865517,0.27996567,0.2781023,0.27961954,0.28465948,0.29293308,0.30299503,0.31068853,0.313042,0.30911478,0.301967,0.2946835,0.2888316,0.2829859,0.27646768,0.27296224,0.28047714,0.3052762,0.3438362,0.38333783,0.409353,0.4159981,0.40638658,0.3872764,0.3629006,0.33506444,0.30680832,0.28388616,0.27283373,0.27534196,0.287096,0.29976285,0.30751085,0.3092022,0.30723426,0.3034911,0.29779986,0.28990304,0.2819498,0.28035736,0.29237857,0.3214917,0.36181715,0.40076268,0.42548,0.43133757,0.42189956,0.4048556,0.38521567,0.3637229,0.3372786,0.30454367,0.2693757,0.24237573,0.2330907,0.24348408,0.2650374,0.28668383,0.3013328,0.30889094,0.31194612,0.31262627,0.31045446,0.3033713,0.28926057,0.26921627,0.24826418,0.23321617,0.22730453,0.22833735,0.23026307,0.22813237,0.22113423,0.21376002,0.21242428,0.22083344,0.23613942,0.25269297,0.266747,0.28009734,0.29488736,0.31021428,0.320359,0.31934914,0.30544302,0.28268406,0.25903794,0.23970668,0.22650288,0.21932323,0.22143495,0.23611188,0.26193032,0.29098788,0.3142898,0.32800636,0.33351707,0.33449498,0.3330902,0.33018002,0.3260672,0.32252172,0.32298622,0.33166668,0.34995747,0.37449726,0.3981669,0.4151913,0.42411646,0.42742553,0.4276472,0.42484164,0.41575626,0.39476457,0.358492,0.31132767,0.26760718,0.24162179,0.23479843,0.23166798,0.21329339,0.1740278,0.12666485,0.09116567,0.08055099,0.0946609,0.12532732,0.16414143,0.20615391,0.24854271,0.28682578,0.31654975,0.33507755,0.3448846,0.34987536,0.35329878,0.35530636,0.35515997,0.35207257,0.34615722,0.33754897,0.3262577,0.31118175,0.28990164,0.2594014,0.218805,0.17177032,0.12543003,0.086714566,0.05839644,0.039346367,0.026586017,0.017933078,0.012132093,0.008528475,0.006422861,0.0051879263,0.0043378198,0.0036184292,0.0029639744,0.0024017335,0.0019776134,0.0016892767,0.0015058686,0.001380199,0.0012818422,0.0011910525,0.0011004253,0.0010061209,0.0009083087,0.00080789096,0.00070571137,0.00060445577,0.0005088881,0.00042119971,0.00033779434,0.00025298694,0.00017044049,0.00010454989,7.431363E-05]