[0.14570001,0.16729122,0.21436016,0.27240175,0.32403716,0.35364136,0.35213837,0.32151285,0.276203,0.23737948,0.22189145,0.2329294,0.25918993,0.28385773,0.29605505,0.2968715,0.2955593,0.30041477,0.3118805,0.32323703,0.32685712,0.32022962,0.30606988,0.28819862,0.26828977,0.24716437,0.22844459,0.21711333,0.21588416,0.2206382,0.22523038,0.22546299,0.22380936,0.22513218,0.23476599,0.2542193,0.2813393,0.308696,0.3270605,0.32911965,0.3146402,0.2903242,0.2668283,0.25207368,0.24589781,0.23890774,0.21948276,0.18338896,0.13807896,0.09687748,0.07099935,0.06614686,0.08439008,0.123417355,0.17454256,0.22311461,0.25635433,0.26912805,0.26423898,0.24627085,0.21885657,0.18573694,0.15235206,0.12421533,0.103500456,0.088950284,0.07765546,0.067665316,0.05788284,0.047863603,0.03744751,0.0274243,0.019661209,0.016764889,0.021100082,0.03410228,0.057121933,0.09285841,0.14341106,0.20518954,0.26510227,0.30774763,0.32606828,0.3276526,0.32624733,0.33189416,0.34625602,0.36677667,0.39020264,0.4129763,0.43137896,0.44208017,0.44396856,0.43702185,0.42239222,0.40111515,0.37512198,0.3457073,0.3143905,0.28199396,0.25044942,0.22240226,0.20267922,0.19681649,0.20851994,0.23503673,0.26660547,0.2911117,0.30133888,0.29760897,0.28508425,0.26748174,0.24513595,0.21554601,0.17877436,0.13848741,0.101395756,0.07253661,0.054974142,0.051363606,0.06497399,0.0949576,0.1320373,0.1605038,0.16855685,0.15522443,0.12961455,0.10229164,0.07978558,0.06339087,0.05184106,0.04336786,0.036720138,0.031251617,0.026402727,0.021615403,0.016578402,0.011735857,0.007999974,0.0061498918,0.0062688044,0.007777117,0.009922148,0.013263784,0.021166047,0.039887615,0.07378134,0.12000513,0.16596864,0.19654311,0.20198059,0.18377893,0.15158759,0.11975237,0.10204627,0.10762152,0.13599147,0.17752106,0.21889323,0.2507002,0.27017096,0.2793597,0.28196096,0.28030756,0.2749224,0.26376125,0.24571757,0.22154869,0.1957773,0.17466527,0.16537108,0.17397815,0.2011156,0.24016754,0.2772453,0.30093598,0.30711004,0.30137193,0.29056513,0.2785109,0.26387507,0.24481235,0.2218097,0.19970125,0.18553905,0.18473138,0.19646978,0.21292414,0.22424375,0.22432281,0.21452777,0.20036225,0.18920933,0.18631233,0.19428526,0.20977418,0.22697712,0.24053816,0.2512008,0.2607827,0.27045915,0.2771231,0.2785835,0.2730448,0.26096874,0.24539357,0.23258789,0.22883725,0.23197277,0.231532,0.21448447,0.17946066,0.13911659,0.1154866,0.122611366,0.15747344,0.1973858,0.21674325,0.20109336,0.15779044,0.10761824,0.07403148,0.07195105,0.10299596,0.15546702,0.20749797,0.23826009,0.23636872,0.2062273,0.16284506,0.12508905,0.106611215,0.11074892,0.13071793,0.15521115,0.17783077,0.20007403,0.22768533,0.26269898,0.30020484,0.33253708,0.35424018,0.36475363,0.3659202,0.3602709,0.3506759,0.34001148,0.33036438,0.3197764,0.30356005,0.27596992,0.23765512,0.19652401,0.1682521,0.16628265,0.1957738,0.24742152,0.303099,0.3426603,0.35310948,0.33344427,0.2967056,0.26404664,0.25183427,0.2602769,0.27754876,0.29276514,0.30639455,0.3210704,0.3327221,0.32903424,0.30539012,0.27179042,0.24678452,0.23861511,0.23845185,0.23001797,0.20814274,0.18363863,0.17202987,0.17634626,0.18576278,0.18514776,0.16964233,0.14451197,0.12280395,0.11611608,0.13100463,0.16225381,0.19459546,0.21120451,0.20511925,0.18261953,0.15595858,0.13449574,0.123146765,0.124881625,0.14240967,0.17376684,0.21050955,0.24194062,0.2618924,0.27262133,0.2790049,0.284685,0.2887446,0.2904066,0.28945372,0.28761476,0.28542873,0.2835865,0.2818329,0.28101757,0.28099594,0.28172195,0.28197086,0.28092048,0.27810246,0.2739828,0.26994476,0.26738086,0.26728794,0.26907384,0.27116576,0.27135107,0.26800203,0.26080966,0.2513058,0.24280323,0.23881884,0.24157603,0.25009605,0.26084664,0.26886153,0.2707909,0.26572224,0.25536713,0.24215035,0.22897738,0.21881694,0.21439599,0.2158224,0.21999677,0.22236498,0.22086887,0.21682219,0.21273772,0.21045071,0.21122651,0.21704502,0.226885,0.2358473,0.23630409,0.22678547,0.21232681,0.20091265,0.19478337,0.19140975,0.18744056,0.18266632,0.17852484,0.17623252,0.17733245,0.18421634,0.19905597,0.22039942,0.24352896,0.2617741,0.27111626,0.2699106,0.26059952,0.24634318,0.23163141,0.21902226,0.2104587,0.20584778,0.20440526,0.20388745,0.20228273,0.19863188,0.19437408,0.19161563,0.19125986,0.19125408,0.18723257,0.17514591,0.15299876,0.1234942,0.09181643,0.06473371,0.04727551,0.04439217,0.06154919,0.10144025,0.15999283,0.22242077,0.27448043,0.30807734,0.32856262,0.3421986,0.35399005,0.36320686,0.37147865,0.3812007,0.39452085,0.4097743,0.42305693,0.43142033,0.43486133,0.4367887,0.44148073,0.45122,0.46172562,0.4616908,0.4364407,0.37991524,0.30307254,0.23374061,0.19935936,0.20937665,0.24819164,0.28877187,0.31131268,0.31299308,0.30191687,0.28523698,0.26342574,0.23377414,0.1967669,0.15811317,0.124648064,0.09989726,0.08370924,0.07613016,0.080955416,0.10256646,0.14086442,0.186417,0.22613956,0.2493838,0.25434092,0.24499905,0.22836365,0.21065624,0.19693871,0.18967827,0.18834494,0.18986262,0.19070844,0.18921815,0.18621475,0.1843072,0.18409072,0.18341269,0.17694958,0.16247028,0.14149179,0.12047937,0.10496801,0.09935301,0.10585803,0.12567748,0.15653682,0.19117212,0.21942067,0.23318936,0.2307086,0.21602474,0.1955452,0.17449956,0.15561175,0.13953583,0.12588458,0.113905855,0.10288557,0.092242636,0.081796505,0.071743056,0.06256144,0.054702487,0.04839608,0.0436037,0.040048737,0.038371418,0.040677592,0.05083725,0.06966383,0.092614956,0.10867864,0.109518744,0.09392425,0.0700494,0.046970617,0.030445406,0.020594863,0.015349798,0.012350384,0.010194412,0.008312658,0.0066789887,0.0054288735,0.004554812,0.003925771,0.003399887,0.0029107912,0.00243849,0.0019909095,0.0015889354,0.0015622914,0.0037301118,0.012321693,0.032965615,0.06709743,0.10814085,0.14319913,0.1638766,0.1724698,0.17954113,0.19278139,0.21204567,0.23179342,0.24702603,0.25506952,0.25502497,0.247531,0.23552416,0.22363079,0.21674806,0.2184255,0.23000495,0.24994929,0.2741994,0.2975751,0.3151203,0.32280114,0.3183273,0.30366322,0.2855697,0.2729703,0.27025616,0.27556613,0.28291878,0.28793135,0.28874707,0.28497612,0.27672538,0.26461244,0.25089684,0.23765391,0.22704726,0.21972938,0.21560605,0.21280394,0.20876215,0.20133252,0.19031258,0.17749299,0.16567467,0.15736848,0.1538984,0.15474266,0.15743983,0.15872926,0.15620458,0.14984597,0.14118971,0.13213344,0.12354717,0.11783453,0.12273991,0.15436493,0.22764723,0.34015384,0.45945612,0.53859943,0.5468549,0.49396828,0.4190979,0.36107263,0.334698,0.33232626,0.33861756,0.34274626,0.34078753,0.33294234,0.32159355,0.31030512,0.30312178,0.30060306,0.29806405,0.2858998,0.25686988,0.21087277,0.15668605,0.1070242,0.074651964,0.07001636,0.09911362,0.15976423,0.23845571,0.31466565,0.3700684,0.39752755,0.40053728,0.3869091,0.36137065,0.32494888,0.2782417,0.22602558,0.17682715,0.13865001,0.113794215,0.09875595,0.088526875,0.08045647,0.07416344,0.06911305,0.06429891,0.059332106,0.056151558,0.058518995,0.07209429,0.10031915,0.14044999,0.17920452,0.19912653,0.18922389,0.1547668,0.11480767,0.09033839,0.0916566,0.11387927,0.14289041,0.1684159,0.19244467,0.2310283,0.298576,0.39662874,0.5050917,0.59912276,0.65780735,0.67328566,0.641133,0.5662325,0.46494308,0.36691976,0.29746214,0.26590714,0.26397645,0.27812156,0.29636443,0.31089377,0.31660092,0.31320754,0.30480078,0.2979697,0.2960098,0.2969968,0.29306862,0.27724504,0.2478957,0.21340738,0.18653817,0.17845945,0.192342,0.22504024,0.26897395,0.31473196,0.3510251,0.36953577,0.36788484,0.35191044,0.32947013,0.30669037,0.28447446,0.26179007,0.23735166,0.2121045,0.18759203,0.16844898,0.16369174,0.19047141,0.25853947,0.35789838,0.44613108,0.4783349,0.43186387,0.3304554,0.21950434,0.14410101,0.1239296,0.15595163,0.21891451,0.28675666,0.3394175,0.36996055,0.38244605,0.38396308,0.38020238,0.37511766,0.37276587,0.3760984,0.38529167,0.39703715,0.40657046,0.41195163,0.41841975,0.43772686,0.47843742,0.53468996,0.5849343,0.6076925,0.59745926,0.56801367,0.5370111,0.51328933,0.4944835,0.47638142,0.45848194,0.44295526,0.4304756,0.4190193,0.40688995,0.39462054,0.3844659,0.37715438,0.37044194,0.360836,0.3470558,0.33196568,0.32026374,0.3158433,0.32033053,0.3356866,0.36260906,0.39875075,0.43444762,0.45916596,0.46597767,0.4573345,0.43903485,0.41804814,0.39807498,0.38065132,0.36322704,0.34156105,0.3121395,0.27558443,0.23596887,0.19951314,0.17107983,0.15170915,0.13785028,0.12664159,0.12235438,0.13512261,0.17181444,0.22643344,0.28318503,0.32531604,0.3439292,0.33863604,0.31672123,0.28913388,0.26481125,0.24552481,0.22831059,0.21396692,0.20848101,0.21819264,0.24314058,0.28305158,0.33968437,0.41306606,0.4920305,0.55953974,0.6049686,0.6295214,0.6363619,0.6250897,0.59590906,0.5588961,0.52803594,0.51152676,0.5051756,0.49994597,0.48911095,0.47195742,0.45037368,0.4268897,0.40376914,0.38493118,0.37421086,0.3735108,0.37839508,0.3801801,0.36939183,0.34408224,0.31086752,0.2835311,0.2740241,0.28864083,0.32326922,0.36714062,0.4055073,0.42913952,0.43619323,0.4325074,0.42340884,0.41234314,0.39937928,0.38564315,0.3714732,0.35799322,0.34455022,0.3327026,0.32705185,0.33955255,0.38123414,0.45100418,0.5230689,0.5597363,0.5365736,0.46496734,0.38279653,0.3271031,0.3125529,0.33080313,0.36534867,0.40101075,0.4302081,0.44995132,0.46192572,0.46812406,0.47038436,0.46788588,0.45736918,0.43542644,0.4027791,0.36769262,0.34199476,0.33642972,0.35660827,0.40521905,0.4773501,0.55687934,0.6141228,0.62445617,0.58339995,0.5145648,0.4492952,0.4100953,0.40020657,0.4121628,0.43436265,0.45610878,0.46924317,0.4705646,0.4629132,0.45231137,0.44431117,0.441384,0.44316265,0.44749346,0.45175517,0.4532729,0.44948077,0.43849492,0.42164537,0.4052477,0.39846635,0.40632257,0.42471373,0.44277564,0.45148826,0.44975483,0.443054,0.4376557,0.43571356,0.4347947,0.429073,0.41268745,0.38293025,0.34335232,0.30373803,0.27597043,0.26840416,0.28040946,0.30303195,0.32340822,0.3323841,0.32706097,0.3103559,0.28782573,0.26785555,0.2573394,0.2586985,0.26532188,0.27063647,0.2728198,0.27741373,0.2859223,0.29378688,0.2933037,0.28216174,0.26311135,0.2442625,0.23909491,0.26497877,0.32891783,0.41799536,0.5060036,0.57347226,0.6162022,0.6332917,0.621332,0.5793366,0.5235027,0.47645423,0.45297888,0.4474196,0.4466442,0.44125092,0.43274423,0.4260559,0.42377174,0.42332903,0.42094168,0.4154308,0.40801442,0.40006927,0.39074504,0.3799583,0.36821434,0.35737264,0.3475804,0.34101474,0.341886,0.35558987,0.38154885,0.41203776,0.4362689,0.44810274,0.44805947,0.44019267,0.42747077,0.41144165,0.3928509,0.3734257,0.3549889,0.34038702,0.33220053,0.33368388,0.34942162,0.38637638,0.4464089,0.5171287,0.57006764,0.5802014,0.5458037,0.4935049,0.45433006,0.4416285,0.44317448,0.43902466,0.41720065,0.38136777,0.34049416,0.30074704,0.26235965,0.22699593,0.20140232,0.19307047,0.20265053,0.22176617,0.24211366,0.261703,0.28682157,0.32490727,0.3822848,0.45749402,0.5390411,0.602593,0.62663054,0.60569566,0.55794317,0.5084592,0.4742854,0.45668796,0.44908538,0.4448587,0.44071624,0.4361833,0.43164,0.42835274,0.4258734,0.42095816,0.40462992,0.36710536,0.30366746,0.2231307,0.14312465,0.0817587,0.047551125,0.04185574,0.06318436,0.10893098,0.17114747,0.2349952,0.28545392,0.31469116,0.32569268,0.32685423,0.32701227,0.33133292,0.34098884,0.3536369,0.3648369,0.37096596,0.37029114,0.36444142,0.35626104,0.348081,0.3376541,0.31849268,0.28480774,0.23861484,0.19213706,0.16008832,0.1507261,0.16161256,0.18374206,0.20889492,0.2305703,0.24551181,0.2487004,0.2384633,0.216841,0.19411464,0.180932,0.18065245,0.18578757,0.18841176,0.19311242,0.21863274,0.27897498,0.36801437,0.4596986,0.53211445,0.57864046,0.60237247,0.6027489,0.57690054,0.5324693,0.48514768,0.449095,0.4244348,0.40438986,0.38252497,0.35900655,0.33763275,0.32392704,0.32208756,0.33359528,0.3545158,0.37604538,0.386125,0.37534547,0.34291592,0.3002498,0.26546684,0.25338814,0.26646984,0.2989272,0.34099296,0.38577148,0.42337728,0.446177,0.44940746,0.43845376,0.42086515,0.40289703,0.38547406,0.3690238,0.3538283,0.34021854,0.32663822,0.31327006,0.3046442,0.31205878,0.34801295,0.41493097,0.49515072,0.553206,0.5585387,0.5065566,0.42477047,0.3509393,0.31089413,0.30547822,0.31893495,0.33093402,0.33049476,0.31779316,0.30051976,0.2842708,0.27038,0.25761142,0.24487102,0.23011048,0.2103271,0.18556361,0.16254646,0.1513368,0.15810929,0.18024103,0.21054287,0.24174583,0.26961386,0.2904538,0.3017573,0.3028833,0.2967886,0.28790691,0.27998924,0.2741687,0.26969337,0.2653202,0.26094377,0.25753665,0.2564077,0.25807327,0.26223996,0.26784968,0.2736317,0.2783775,0.28158858,0.28337088,0.28413916,0.28411052,0.2836047,0.28309348,0.2831544,0.28383118,0.28481546,0.28559914,0.28595003,0.28561744,0.28456807,0.28296903,0.28147793,0.28072032,0.28101736,0.28211394,0.28342524,0.28427073,0.28415337,0.28299645,0.28110072,0.27893135,0.2767509,0.2745647,0.27224553,0.26982805,0.2676092,0.26595965,0.2650555,0.2646042,0.26415506,0.26325974,0.26199937,0.26073593,0.26001534,0.25976717,0.25929344,0.2575769,0.25433466,0.25023407,0.24642916,0.24365042,0.24221481,0.24217212,0.24378745,0.24683948,0.2510003,0.25489274,0.2572594,0.25625736,0.25164208,0.24389924,0.23504762,0.22641063,0.21887384,0.21235621,0.20671809,0.20194389,0.1980962,0.19533674,0.19345592,0.19213837,0.19081916,0.18906403,0.18661053,0.18360482,0.18115352,0.1812483,0.18631642,0.19720437,0.21265864,0.22949941,0.24454595,0.2547882,0.2572383,0.24996738,0.23460154,0.21839239,0.20997359,0.21371348,0.22546728,0.23743933,0.24521472,0.25146043,0.2620745,0.2784907,0.29499754,0.3009933,0.28926808,0.26023808,0.22228037,0.1854527,0.15695758,0.13999267,0.13557251,0.14242873,0.15519516,0.16622041,0.17141479,0.17409438,0.18089598,0.1936297,0.20699657,0.21379901,0.21124618,0.2013743,0.18603362,0.16496883,0.13697153,0.105989836,0.080776595,0.072290875,0.08560369,0.118327074,0.16230018,0.20905061,0.25167993,0.28400883,0.30124384,0.30181488,0.29034153,0.27462962,0.2617247,0.25349715,0.2478267,0.24134023,0.2326207,0.22269873,0.2137206,0.20710455,0.20243257,0.19801779,0.19215544,0.18444413,0.17580979,0.16801073,0.16241004,0.15968762,0.15903279,0.15892757,0.15721343,0.15295608,0.14627263,0.13871457,0.13162453,0.12597896,0.12168387,0.11815038,0.1144413,0.11007718,0.105006814,0.09957414,0.09393087,0.08841718,0.08344857,0.07962877,0.07696733,0.07521247,0.07389935,0.07279548,0.071436256,0.06941993,0.06687183,0.06622981,0.07313497,0.095979966,0.1393242,0.19825076,0.2562716,0.29640713,0.31086138,0.30583128,0.2925588,0.27979144,0.26982537,0.2617968,0.25592148,0.2570295,0.27453354,0.31544486,0.3757796,0.44117284,0.49829516,0.54521996,0.5838413,0.6075729,0.599513,0.5481525,0.46119723,0.3628707,0.2837347,0.24492697,0.25315863,0.29443687,0.3449242,0.37961188,0.3856434,0.3631285,0.32697988,0.30125183,0.3077608,0.35116324,0.4147716,0.47370243,0.51033896,0.5209487,0.50895613,0.48160353,0.44735304,0.4168756,0.39479828,0.37779024,0.35454926,0.3175377,0.2689055,0.22324616,0.19883929,0.20709354,0.24434258,0.29374072,0.33663538,0.36327812,0.3764858,0.3847005,0.39451072,0.4060839,0.41503975,0.41571,0.4040403,0.37849447,0.33997262,0.29380947,0.25102922,0.2280209,0.23574287,0.2703116,0.30769417,0.32129797,0.30024996,0.26203272,0.23586656,0.24098289,0.27201903,0.30862853,0.33399263,0.345688,0.35129133,0.3560263,0.35919383,0.36191496,0.3758675,0.4164091,0.48462644,0.5580703,0.60618573,0.613925,0.5914211,0.55959487,0.5337144,0.51769114,0.51088136,0.51202196,0.5190672,0.5277817,0.53442425,0.5387868,0.54302317,0.5474041,0.54599196,0.52975553,0.4919479,0.43540442,0.37004516,0.3096061,0.2647935,0.24472165,0.25418615,0.29245526,0.34840938,0.40537548,0.44860813,0.47314623,0.4825395,0.48398885,0.48367086,0.48326445,0.47838828,0.45864078,0.41713202,0.35861108,0.3013615,0.26341048,0.25039288,0.2537818,0.2613179,0.26611444,0.2671422,0.26576766,0.26368317,0.26465735,0.2742078,0.29582685,0.32320663,0.34170023,0.33724704,0.31329027,0.28818926,0.28185531,0.29527786,0.31440565,0.32423934,0.32329684,0.31921646,0.3201605,0.33039895,0.35307992,0.38914612,0.4348067,0.48291945,0.5277458,0.56544566,0.5876185,0.5837574,0.54935694,0.49578312,0.4425731,0.40653232,0.3931382,0.39891636,0.4156504,0.4335514,0.44518507,0.4478846,0.44547883,0.44385198,0.44660464,0.45004094,0.44665346,0.43023208,0.4033966,0.37318373,0.34543714,0.3199573,0.29824504,0.2882564,0.3005943,0.33620206,0.38230684,0.42132726,0.4432588,0.44920957,0.44643486,0.44248125,0.4434632,0.451085,0.46075,0.46043086,0.43918142,0.3960968,0.34747693,0.3217329,0.34337887,0.41400027,0.50185347,0.5588568,0.5507868,0.483665,0.3970283,0.33500946,0.31907868,0.3396058,0.37116134,0.38813636,0.3818008,0.35764778,0.33030328,0.30895934,0.2974433,0.2954324,0.30513468,0.32722697,0.35879663,0.39101735,0.4145298,0.4245316,0.42497575,0.43004456,0.453752,0.50059015,0.55319065,0.58898926,0.5928692,0.5745127,0.5514591,0.5390131,0.53636616,0.53622,0.5299518,0.5163081,0.49906537,0.48344442,0.47199753,0.4642603,0.46091917,0.45973396,0.45606932,0.44014773,0.410411,0.37289,0.34072772,0.31997916,0.31155753,0.31411114,0.32972154,0.35881567,0.39580798,0.43060985,0.45558667,0.4702042,0.478911,0.48584774,0.49118257,0.4906532,0.47792473,0.44857422,0.40419206,0.35284767,0.30493864,0.26779002,0.24423271,0.23311555,0.22958748,0.22432323,0.20906901,0.18467264,0.16581428,0.17072244,0.2086456,0.2671024,0.3218374,0.34710184,0.33780265,0.30503842,0.27134547,0.24995084,0.24422215,0.24830365,0.2559614,0.26281187,0.26942825,0.28217676,0.3097422,0.35478535,0.41014597,0.46526194,0.51432484,0.55651695,0.58571416,0.59276634,0.5736549,0.5411469,0.51301444,0.49973026,0.496691,0.49460125,0.48800063,0.4781982,0.4691895,0.463661,0.46161482,0.46186745,0.46471646,0.47122085,0.479565,0.48169097,0.467227,0.43003404,0.37450644,0.3156111,0.27397832,0.26693535,0.2977123,0.35338482,0.4109672,0.4526337,0.47236085,0.4756024,0.47032356,0.46326408,0.45797276,0.45538118,0.45194438,0.4400953,0.41104066,0.3616933,0.30170274,0.25708225,0.25974658,0.32490683,0.43048963,0.52308565,0.55187625,0.50265723,0.40567636,0.31015092,0.25822118,0.2648559,0.3214145,0.39800075,0.46434173,0.4994247,0.5039609,0.48879898,0.46890107,0.45361555,0.44808182,0.450544,0.45399395,0.44932935,0.432001,0.40733257,0.39013258,0.39979792,0.44636106,0.5210499,0.59378403,0.6325688,0.62238365,0.5764975,0.5224409,0.48427746,0.46971902,0.47366095,0.48643804,0.50081563,0.5134811,0.5239005,0.53280306,0.5409321,0.5481122,0.5514099,0.54522175,0.523272,0.48418352,0.43373704,0.38250098,0.34086767,0.31596062,0.31360796,0.33589926,0.37921068,0.43030402,0.47337183,0.49723515,0.50181973,0.49474382,0.48560265,0.47972015,0.4762883,0.4700735,0.45653808,0.43496045,0.4065726,0.37093726,0.3267329,0.27902582,0.24001235,0.22213393,0.22586049,0.24088518,0.25451612,0.2634579,0.27307308,0.29248378,0.321893,0.35063732,0.3595535,0.34034017,0.30096802,0.26237804,0.2373598,0.22538508,0.21891795,0.21502292,0.21574174,0.2216628,0.23347592,0.25610968,0.29779053,0.35996458,0.43276277,0.5030577,0.5627125,0.6070415,0.6295002,0.6233338,0.59146774,0.5463212,0.50412434,0.47559127,0.46547505,0.47194257,0.48683262,0.4989066,0.49993947,0.4905543,0.47785652,0.47067788,0.4727784,0.4801372,0.48070443,0.4606608,0.4119952,0.3395631,0.2614197,0.20412868,0.19148135,0.23050077,0.3058717,0.38688943,0.44920644,0.48588133,0.50771683,0.52534175,0.5408043,0.543039,0.5193245,0.4642992,0.39174092,0.33048907,0.30929947,0.33767295,0.40103686,0.4776931,0.55031204,0.60881996,0.6363333,0.61583304,0.5416891,0.43578675,0.33621764,0.27983877,0.27916083,0.31999215,0.3674641,0.3903968,0.37651408,0.33963478,0.30401993,0.28765288,0.29022372,0.29597244,0.2867493,0.25492686,0.21104382,0.17425609,0.16170548,0.17898203,0.22751386,0.30526045,0.40414658,0.49920416,0.5582873,0.5607826,0.5156168,0.4524419,0.40088418,0.37260246,0.36231232,0.35791978,0.3506681,0.3388246,0.32660973,0.32114294,0.32789925,0.3485122,0.37706828,0.402195,0.40917552,0.3910637,0.351858,0.30623657,0.26941398,0.2525246,0.26286504,0.3018762,0.36283717,0.42611015,0.47138897,0.48707286,0.4788921,0.46023366,0.44500324,0.44147208,0.45038357,0.4635644,0.4636362,0.43580732,0.37636042,0.29957327,0.22645102,0.17607136,0.15522893,0.16072528,0.18189718,0.20867097,0.23568742,0.2643281,0.29908064,0.34276405,0.39179596,0.4350928,0.45723596,0.44818637,0.4103439,0.3586816,0.31037882,0.27648577,0.26008558,0.25951776,0.27064312,0.2866671,0.30352795,0.32357442,0.3552306,0.40154958,0.4563292,0.50858754,0.55268186,0.58660364,0.6067877,0.607482,0.5893045,0.5616836,0.53683895,0.51995355,0.5080226,0.4946625,0.4767784,0.4564543,0.43930826,0.43027803,0.43109122,0.43952003,0.45015907,0.4545901,0.44336152,0.4100752,0.35718706,0.2967091,0.24714291,0.22438693,0.23664744,0.2791009,0.33832785,0.3962781,0.44109738,0.46896067,0.48506746,0.49522936,0.50273246,0.5053139,0.49811506,0.4752483,0.43202904,0.36828247,0.2906806,0.21683855,0.17052229,0.17801167,0.2482487,0.36446178,0.47660294,0.53431946,0.5152423,0.44777608,0.38284492,0.35937276,0.37855408,0.4143523,0.437225,0.4326259,0.40483066,0.366954,0.33119902,0.30329683,0.28707406,0.28723845,0.3062046,0.3366338,0.3603696,0.36173356,0.33876398,0.30744883,0.28609154,0.28536034,0.3012826,0.32404163,0.3424805,0.3505005,0.3470423,0.33686486,0.32754263,0.32482937,0.32876563,0.33270416,0.3290367,0.31429377,0.29279354,0.27216816,0.2594124,0.25584713,0.25828084,0.2599081,0.25567403,0.24405365,0.228478,0.21323478,0.20130874,0.19279103,0.18698154,0.18306899,0.18059827,0.17835836,0.17496435,0.16935419,0.16182329,0.15341975,0.14548224,0.1388175,0.13377143,0.13018085,0.12779725,0.1263966,0.12586644,0.12588912,0.12592645,0.12547372,0.12453646,0.12358003,0.123004235,0.12259767,0.12188495,0.12112397,0.12242643,0.1294406,0.14606597,0.17380531,0.20969744,0.24537687,0.26962924,0.27459612,0.2618152,0.2429779,0.23171137,0.23365855,0.24302419,0.24953385,0.24747004,0.2371748,0.22064595,0.1989372,0.17717244,0.16805796,0.18475717,0.22940572,0.28656086,0.33593336,0.36360168,0.37101686,0.3646058,0.35055482,0.32939467,0.30188885,0.2705641,0.2402801,0.2152375,0.19743873,0.18674682,0.18173677,0.18141764,0.18671317,0.19994032,0.22215728,0.24978812,0.27572522,0.2934401,0.3018846,0.30524,0.30924594,0.31621072,0.3237687,0.3262112,0.31852832,0.29860914,0.2690442,0.23557638,0.20576382,0.18582964,0.17925698,0.1845692,0.19601344,0.20510203,0.2063613,0.1997294,0.1907503,0.18452655,0.18295209,0.1841865,0.18655433,0.19036888,0.19705392,0.20679979,0.2167509,0.22294481,0.22208111,0.21412003,0.20134167,0.18799274,0.1772377,0.1698971,0.16319366,0.15363325,0.1397884,0.123117946,0.106493235,0.0924215,0.08518442,0.08940784,0.10850441,0.13991994,0.17892282,0.22078514,0.26348457,0.30299652,0.33404267,0.35178852,0.35607693,0.34980777,0.3365275,0.3187432,0.29851744,0.27829322,0.26020512,0.24550931,0.2340696,0.22525263,0.21813555,0.21206653,0.20608664,0.1996582,0.1925804,0.18568826,0.17983271,0.17560463,0.17310609,0.17306493,0.17717855,0.18644388,0.19944982,0.21157582,0.21849065,0.21823806,0.21266396,0.20446704,0.19594365,0.1879716,0.18104154,0.17529511,0.17062473,0.16652875,0.16246086,0.15800583,0.1531173,0.14788294,0.14247291,0.13754983,0.13526109,0.14011244,0.15633327,0.18481176,0.22003381,0.25553393,0.28762725,0.31836736,0.34741256,0.36959252,0.37526712,0.36015162,0.3287399,0.29342985,0.26607543,0.25212783,0.24958093,0.25453913,0.2663832,0.28676572,0.31493068,0.3451366,0.37148464,0.39139286,0.40566197,0.41317376,0.41096625,0.39687994,0.37355757,0.34668407,0.32159746,0.3006499,0.2837293,0.2698628,0.25842026,0.24936105,0.24296941,0.23928992,0.23784317,0.23770417,0.23749493,0.235956,0.2321109,0.22627646,0.21934651,0.21262063,0.20751537,0.20691025,0.2149949,0.23464417,0.2645738,0.29877627,0.33052853,0.3548129,0.36989185,0.37509033,0.37141824,0.36071476,0.34616217,0.33041775,0.31556103,0.30317304,0.2947745,0.29145324,0.29273906,0.29686004,0.30077848,0.30201188,0.29864395,0.2918385,0.2843986,0.28037992,0.28020743,0.2825373,0.28693172,0.29740664,0.3181806,0.34710824,0.37574145,0.3950527,0.40273145,0.40168515,0.39638218,0.3883523,0.37648773,0.35717753,0.32829443,0.29033318,0.24911273,0.2115304,0.18624552,0.17975497,0.19582736,0.22938593,0.2688218,0.30165723,0.32265615,0.33371547,0.3389999,0.34101412,0.34094104,0.3402349,0.3407017,0.3431574,0.34764758,0.3535501,0.36006132,0.36565617,0.3688858,0.3695031,0.3675286,0.36151877,0.34669626,0.31868872,0.27798548,0.23364349,0.19942935,0.18646264,0.19648181,0.22144538,0.24957342,0.27194652,0.28600255,0.293576,0.29782584,0.30101871,0.3041717,0.30730355,0.30966416,0.31048337,0.30968618,0.30817962,0.30731127,0.30814394,0.31118777,0.3163058,0.3228811,0.32987845,0.3364493,0.34229812,0.3478377,0.35353148,0.35932422,0.36457646,0.36865792,0.37158868,0.37391162,0.37612578,0.37780192,0.37759483,0.37383318,0.36624599,0.35660252,0.34819797,0.3433269,0.34196886,0.34226224,0.342743,0.34359154,0.34560215,0.34842756,0.3497584,0.34649158,0.33654633,0.31953606,0.29726064,0.2727891,0.25038895,0.2339627,0.22618945,0.22715873,0.2341284,0.24285704,0.2500498,0.25543377,0.26081267,0.26725778,0.27326083,0.27576602,0.2729075,0.2650201,0.2538734,0.24107297,0.22829767,0.21754648,0.21082829,0.20816477,0.20691769,0.2031718,0.19442618,0.18113685,0.16576877,0.1510451,0.13877584,0.13061672,0.12918586,0.13738519,0.1557617,0.17978227,0.20135282,0.21319999,0.21321912,0.20413911,0.18972516,0.17195867,0.15156364,0.1319445,0.12031523,0.12436538,0.14585549,0.17750578,0.20783536,0.2283631,0.23895246,0.24343593,0.24393131,0.23656417,0.21735997,0.18863332,0.16092438,0.14397599,0.13761295,0.1321382,0.118610986,0.099194705,0.08638433,0.0941622,0.12804161,0.18094893,0.2378118,0.28269932,0.30765364,0.31319466,0.30661562,0.2956175,0.28583065,0.27882016,0.27330568,0.2670232,0.25884968,0.2497254,0.24123861,0.23476084,0.23011363,0.22691245,0.22426468,0.22226673,0.2209184,0.22062542,0.22081876,0.2205072,0.21847703,0.21476044,0.21063018,0.20769262,0.20617151,0.20473422,0.20174003,0.19664694,0.19007438,0.18285541,0.17570727,0.16939785,0.16501898,0.16308933,0.16321892,0.16412073,0.1650421,0.16583155,0.16674148,0.16728099,0.16674478,0.16485435,0.1623183,0.15992546,0.15798081,0.15632616,0.15532015,0.15543605,0.15682602,0.15841207,0.15926345,0.15893479,0.15797366,0.15653785,0.15468973,0.15252139,0.15057564,0.1489946,0.14732613,0.14517199,0.14298047,0.14162938,0.14189474,0.14496998,0.15366083,0.17079705,0.19565763,0.22146364,0.2391753,0.24343067,0.23614983,0.22316384,0.20980227,0.19855483,0.19035856,0.18556117,0.18366043,0.18356735,0.18391068,0.18397786,0.18250419,0.17831011,0.17095183,0.16230471,0.15509586,0.1506828,0.14819692,0.146192,0.14506741,0.14680134,0.15303995,0.16304892,0.1739647,0.18269753,0.18780147,0.1901579,0.191729,0.19401203,0.1971011,0.2005167,0.20405795,0.20830591,0.21372885,0.22099678,0.23054199,0.24292795,0.2568861,0.26977623,0.27852976,0.28229883,0.2819031,0.2773337,0.2664546,0.24710865,0.22213554,0.2001244,0.19236304,0.20497455,0.23535436,0.2718889,0.3016379,0.31657544,0.31811008,0.31263503,0.30643645,0.30130127,0.29642773,0.29053083,0.28321177,0.2736871,0.26121256,0.24707049,0.23667012,0.23667483,0.24967664,0.26985618,0.2871492,0.2934778,0.28810036,0.274945,0.25930777,0.24507453,0.23475327,0.22922671,0.22660945,0.22305442,0.21429329,0.19905078,0.18010946,0.16366117,0.15572569,0.15770648,0.16455685,0.1671813,0.15908915,0.14073606,0.119149454,0.103069745,0.099363744,0.1109369,0.13628578,0.16853511,0.19844346,0.21834598,0.22614376,0.2235863,0.2137869,0.19935727,0.18332523,0.16903101,0.15877765,0.1528786,0.15009964,0.14935933,0.14981401,0.15093267,0.15155591,0.15026191,0.14528584,0.13556333,0.12160311,0.1056675,0.09154896,0.083698176,0.0871864,0.10447987,0.13307677,0.16425276,0.18980862,0.20657404,0.21838933,0.22914718,0.24046035,0.2506241,0.2588861,0.26492634,0.2691543,0.27129805,0.27205956,0.2731242,0.27748528,0.28611872,0.29723808,0.30551615,0.3075479,0.3025124,0.29317033,0.2812229,0.26843032,0.25674376,0.24936712,0.24781664,0.2504523,0.2536913,0.25471404,0.2525454,0.24697672,0.23764831,0.22452706,0.2084313,0.19113357,0.17436707,0.15970193,0.147426,0.13700764,0.12700646,0.117772795,0.11124755,0.11026814,0.11494139,0.122655906,0.12947138,0.133009,0.13256198,0.12831974,0.12067782,0.11076962,0.10066197,0.09244581,0.08709929,0.08422478,0.08302075,0.083019495,0.0840802,0.08582205,0.087612025,0.089145206,0.09083689,0.09369596,0.09896328,0.10780964,0.12089372,0.13668133,0.15166202,0.16110188,0.16288163,0.15650228,0.14331241,0.124640964,0.10594654,0.09618462,0.10437872,0.13129176,0.16763501,0.19972838,0.21842365,0.2243147,0.22589171,0.2354608,0.26175267,0.30450428,0.35154983,0.38628948,0.39794108,0.38834012,0.3674153,0.34513426,0.32653543,0.3125631,0.3025875,0.29521313,0.28888807,0.2820848,0.27454236,0.26646483,0.2577276,0.24603076,0.22845186,0.20366631,0.17543252,0.15098226,0.1385385,0.14249475,0.1630385,0.19531244,0.23174477,0.26348972,0.2842989,0.29286054,0.2925887,0.2885256,0.28341654,0.27816832,0.27306262,0.2699534,0.2691363,0.26885128,0.26451525,0.25335672,0.23530434,0.21459079,0.19756836,0.19048388,0.19509976,0.20549667,0.21074688,0.20199989,0.18086521,0.159378,0.15295653,0.16780563,0.19582075,0.21748601,0.2163529,0.1880788,0.14396073,0.10164637,0.07802058,0.08182025,0.112222694,0.15777856,0.20078313,0.22414692,0.21945637,0.19166535,0.15839873,0.14418817,0.16706973,0.22754101,0.3046725,0.3704399,0.4061621,0.41245425,0.40143868,0.38500664,0.36812782,0.35121202,0.33560324,0.32397476,0.31851065,0.31708845,0.315937,0.31123555,0.30199698,0.28598842,0.26044866,0.22330655,0.18056421,0.14552785,0.1333314,0.15029691,0.19061299,0.24119739,0.28956988,0.3280199,0.35239732,0.3616408,0.35847792,0.3487122,0.3378925,0.32838783,0.32085326,0.31571177,0.31290123,0.3088772,0.2982262,0.27769205,0.25110954,0.22678758,0.21162736,0.20500988,0.20072931,0.19293086,0.18191831,0.17219652,0.16777503,0.1672945,0.16680844,0.16163562,0.1512755,0.1380023,0.12975127,0.1333261,0.15078247,0.1719863,0.18326074,0.17551471,0.1527372,0.12542771,0.10416615,0.09523203,0.100953065,0.12000624,0.1456629,0.17233975,0.19817317,0.22827132,0.26308998,0.2974411,0.32064244,0.32848325,0.32330087,0.31182328,0.29857913,0.28547657,0.2733483,0.26316905,0.2565033,0.25486955,0.25924125,0.26867032,0.27943107,0.28657153,0.28662196,0.27983412,0.26926023,0.2584382,0.24964063,0.2436595,0.24057175,0.24006188,0.24150352,0.2437275,0.24503082,0.24379401,0.23957407,0.23399483,0.2295981,0.22787474,0.22746694,0.22578292,0.22092314,0.21347983,0.20492758,0.1964613,0.18791385,0.17883688,0.16876411,0.15822208,0.14824553,0.14082627,0.13695069,0.13654329,0.13822763,0.14153023,0.14713871,0.15469564,0.16175558,0.16370451,0.1591429,0.14972092,0.14022535,0.13317312,0.12937021,0.12749387,0.12654549,0.12549251,0.12412256,0.12307441,0.12389848,0.12818724,0.13705486,0.1515459,0.17213386,0.19747727,0.22257276,0.2408814,0.24785078,0.24414606,0.23398747,0.22201554,0.21079536,0.20091538,0.19199233,0.18364193,0.17606263,0.1700897,0.16680253,0.16687328,0.17015748,0.17391354,0.17294787,0.16065672,0.13533404,0.101442195,0.06917671,0.048095357,0.04624622,0.068320185,0.11367899,0.17222281,0.22632568,0.2606485,0.2712048,0.26622424,0.25737372,0.25205085,0.25211796,0.25748172,0.26859888,0.2845688,0.30183157,0.3148888,0.3204439,0.31892598,0.3138883,0.30907008,0.30726632,0.30899104,0.3114396,0.30713132,0.2882197,0.25337148,0.21414447,0.18780823,0.18589933,0.2033761,0.2259407,0.24035968,0.2441658,0.24093711,0.23510145,0.22750968,0.21779037,0.20596808,0.19344091,0.1813649,0.16963619,0.15678972,0.14341663,0.13544302,0.14352745,0.1745155,0.2231038,0.27190068,0.30333376,0.31057218,0.29951167,0.28040767,0.26084697,0.24352741,0.2288483,0.21694863,0.20846069,0.20429228,0.20449297,0.20735003,0.20879084,0.20413099,0.19064951,0.16973875,0.1463941,0.12619127,0.11257317,0.10628495,0.10763336,0.11817362,0.1391353,0.16816114,0.1975456,0.21840511,0.2258311,0.22176029,0.21141927,0.19944762,0.1877982,0.17739326,0.1687147,0.16215833,0.15726425,0.15363884,0.15086311,0.14876793,0.14678359,0.144536,0.14209412,0.13996263,0.13852756,0.13749649,0.13678658,0.13674928,0.13859968,0.14229572,0.14643252,0.14827733,0.14670444,0.1422569,0.13704741,0.13250722,0.1295213,0.12816276,0.12842566,0.12990479,0.13198352,0.13380808,0.13442858,0.13360919,0.13401042,0.14323358,0.17234874,0.22706966,0.3002461,0.37105587,0.41925427,0.43630707,0.4296949,0.41211167,0.39372122,0.37776768,0.36328745,0.34757742,0.3290547,0.30968782,0.29436025,0.28763166,0.2894765,0.29494706,0.29770005,0.29392242,0.28433493,0.27224815,0.26136604,0.2537661,0.25065282,0.2536161,0.26452315,0.28323993,0.30520427,0.32299587,0.33035257,0.3258617,0.31234264,0.29514048,0.27979013,0.2712377,0.271135,0.27737048,0.28456047,0.28799495,0.28534818,0.27738222,0.26604274,0.25363475,0.2417742,0.23147927,0.22271962,0.21467102,0.20675604,0.20006667,0.19847488,0.20501381,0.21825732,0.22998579,0.23180908,0.22154422,0.20578973,0.19365929,0.19061595,0.19616885,0.20576465,0.21344177,0.21414138,0.20670794,0.19464946,0.1860228,0.19152355,0.22494818,0.29625276,0.40067852,0.5082529,0.57651824,0.5772169,0.5193444,0.43982032,0.3758854,0.34154972,0.32973123,0.32658708,0.32373044,0.31849584,0.31116593,0.3030263,0.29668507,0.29491398,0.29717878,0.29933468,0.29410878,0.27679622,0.24543417,0.20395088,0.16064335,0.1300115,0.1271987,0.16100693,0.2259237,0.30328333,0.37037906,0.41246223,0.42790636,0.42477337,0.41271496,0.39757916,0.38007855,0.35789767,0.32892525,0.29490295,0.26179153,0.23678444,0.22287421,0.21835159,0.21886961,0.22198002,0.22678143,0.23290825,0.23792617,0.23863852,0.23371975,0.22774023,0.22863625,0.24094276,0.25752774,0.26318458,0.24510986,0.20490618,0.15792243,0.12445504,0.11685779,0.13418788,0.16401863,0.19418639,0.22088021,0.25171748,0.29243314,0.34119737,0.38810644,0.43142617,0.4747111,0.517426,0.54170996,0.5281443,0.47506166,0.4054319,0.34691855,0.31401166,0.30450186,0.30975902,0.32125917,0.3314837,0.33373776,0.32445118,0.30633953,0.287402,0.27561584,0.27256846,0.2708519,0.26061758,0.2372305,0.2068863,0.18169779,0.17321394,0.18713766,0.22225435,0.27179918,0.32360828,0.36512014,0.38745394,0.3904632,0.38021517,0.36489913,0.35002804,0.33698538,0.32392502,0.3078088,0.28714743,0.26287964,0.24076676,0.23267005,0.2573687,0.3265508,0.4293829,0.5227001,0.5563436,0.50489885,0.39071038,0.26440963,0.1750939,0.1430019,0.16064645,0.20262818,0.2443165,0.27050316,0.28050992,0.28094462,0.27977157,0.28051233,0.28280544,0.2840632,0.28213063,0.27717337,0.2712665,0.26770103,0.2714137,0.29095015,0.33577788,0.40628198,0.48537955,0.54365593,0.5593789,0.5345656,0.49139842,0.45359814,0.43087456,0.4203975,0.41551664,0.4130278,0.4121128,0.4121417,0.41183373,0.41001734,0.40699044,0.403777,0.4009079,0.39655045,0.38770947,0.37312087,0.35509896,0.33846208,0.32791236,0.3274945,0.33981046,0.3648697,0.39717984,0.42766675,0.44814935,0.45668688,0.4569061,0.45398977,0.45118594,0.44837546,0.4435071,0.43307734,0.4153248,0.39044306,0.36077353,0.3278283,0.29345414,0.2604372,0.23265384,0.21222614,0.19976407,0.1972828,0.2080381,0.23265016,0.26471552,0.29416493,0.31164467,0.31264475,0.29780582,0.27495992,0.2549601,0.24455066,0.2395159,0.23157613,0.21923684,0.21099626,0.21721572,0.24080913,0.27923977,0.32557973,0.37183335,0.40952554,0.44002888,0.4729416,0.5147347,0.553061,0.5661564,0.54363745,0.50018775,0.46068493,0.4410489,0.4388645,0.44308934,0.44381464,0.4374791,0.4247665,0.40833858,0.39169642,0.37888443,0.3732576,0.37416676,0.37534508,0.36765084,0.3464007,0.31614295,0.28829893,0.27370915,0.27753672,0.300323,0.33963203,0.38963655,0.43955362,0.47789946,0.49800158,0.5009344,0.49146593,0.4747108,0.45367798,0.4303162,0.40491465,0.3779346,0.35080495,0.32886592,0.32165205,0.34249857,0.39911044,0.48237395,0.55960363,0.5903649,0.552818,0.4623163,0.36116588,0.29092202,0.2704476,0.29241225,0.33554706,0.3774071,0.404839,0.41578683,0.41672015,0.41523227,0.41576794,0.41831282,0.42024493,0.41789508,0.40884984,0.3940923,0.37885436,0.371676,0.3818253,0.4176234,0.47847867,0.5495276,0.5996756,0.6016597,0.549738,0.46821436,0.39083484,0.34118196,0.32309487,0.3288468,0.34762892,0.36859488,0.38315913,0.38702118,0.38256112,0.37566543,0.371487,0.3724331,0.37790418,0.3862176,0.39456257,0.40081564,0.40379444,0.40420303,0.40421638,0.40673944,0.41351497,0.4233899,0.43216482,0.4353521,0.43076268,0.42021334,0.40764776,0.39784816,0.39295617,0.39203656,0.38973978,0.38091788,0.36269423,0.3374275,0.30977193,0.28549466,0.26961148,0.2644371,0.268295,0.27474847,0.2782546,0.27597418,0.26998866,0.2629293,0.25828847,0.2569858,0.25735196,0.25353685,0.24256115,0.22842525,0.22143036,0.22775061,0.24290626,0.25597665,0.25786254,0.24808973,0.23327126,0.22667737,0.24160439,0.2827369,0.34120488,0.40308365,0.46066537,0.5106671,0.54242295,0.5399315,0.497766,0.43463376,0.37933978,0.3497583,0.3414159,0.3397933,0.33473954,0.32744765,0.32370988,0.32611635,0.33072433,0.3323643,0.33033642,0.32829332,0.3286513,0.32824448,0.32224414,0.3089539,0.2925789,0.27874115,0.27315068,0.27968314,0.30012333,0.3298734,0.35890266,0.37779534,0.38451672,0.3842936,0.38151896,0.37620512,0.364197,0.3444104,0.3197011,0.29790565,0.2849035,0.28289303,0.28858063,0.30409953,0.33768317,0.39735338,0.47028947,0.5249732,0.5320234,0.49190083,0.4337164,0.38902378,0.36858413,0.3602173,0.34726295,0.32170376,0.28772926,0.25266394,0.22073774,0.19120221,0.16428958,0.14367516,0.1349838,0.13983814,0.15701264,0.18534045,0.22545873,0.275261,0.3298947,0.38790396,0.4522253,0.5217912,0.5800447,0.6045222,0.5845349,0.5331406,0.47383025,0.4241322,0.38822043,0.3641254,0.34958902,0.34295365,0.34108138,0.3403343,0.33897138,0.33717299,0.33425465,0.32406768,0.29787943,0.25006863,0.18728907,0.12409695,0.075915486,0.04972212,0.04781319,0.071883135,0.122643806,0.19361769,0.26796737,0.32796657,0.36412597,0.38047728,0.38638481,0.39051738,0.39618292,0.4030962,0.40740633,0.40364495,0.38711032,0.35780978,0.32117704,0.28571942,0.25773016,0.2378111,0.2207527,0.20090993,0.17752318,0.15663089,0.1461254,0.149531,0.16456844,0.1842079,0.2034378,0.21725142,0.22495218,0.22270326,0.20985216,0.18637846,0.16142935,0.14549607,0.14503998,0.15449722,0.16548826,0.17727514,0.20013453,0.24109416,0.29573372,0.3535627,0.4126141,0.47542357,0.5333597,0.5627958,0.54548407,0.4894112,0.42369637,0.37486902,0.3512034,0.34583792,0.34917292,0.35500845,0.3619126,0.37032256,0.3809584,0.39147446,0.39724776,0.3913423,0.36883473,0.3273467,0.27247274,0.21610737,0.17430969,0.15764214,0.16816843,0.2023714,0.25404847,0.31542042,0.3713493,0.40798977,0.41804698,0.40895602,0.39196944,0.37644878,0.36428094,0.35426506,0.34314847,0.3280233,0.30839068,0.28864577,0.2783501,0.28991127,0.33454934,0.41204444,0.50257725,0.5682678,0.57649994,0.5221083,0.43378338,0.35080835,0.30029824,0.2837654,0.28733015,0.29188696,0.28732204,0.2727677,0.25618616,0.24433392,0.24075247,0.24398136,0.2504318,0.25327954,0.2453354,0.22403806,0.19708644,0.17775647,0.17603803,0.1909412,0.21454032,0.23823772,0.25724748,0.26941678,0.27368358,0.27072448,0.26259756,0.25261787,0.24291055,0.23473245,0.22818477,0.22327311,0.2195307,0.2164432,0.21406762,0.21333729,0.2154168,0.21989475,0.22472443,0.22711532,0.2260011,0.2220639,0.21720153,0.21250015,0.20838815,0.20463604,0.20123614,0.19799276,0.19481434,0.19162606,0.18873398,0.18642779,0.1848496,0.1838061,0.1830649,0.182523,0.18234722,0.18298173,0.1848995,0.18832,0.19273484,0.19705142,0.19992958,0.20061563,0.19918631,0.19650048,0.19354226,0.1910088,0.18940002,0.18931691,0.19178776,0.19720368,0.20482762,0.21211828,0.21659821,0.21654843,0.21234994,0.20512258,0.19690104,0.18960278,0.18579976,0.1871676,0.19396073,0.20387791,0.21431006,0.22393577,0.23320717,0.24121745,0.24377556,0.23523866,0.21345556,0.1829639,0.1523043,0.12874223,0.114050396,0.10571661,0.09995613,0.09472567,0.08971221,0.08551595,0.08244333,0.08030954,0.078921966,0.078536786,0.08015939,0.083713464,0.08767564,0.089034565,0.0875613,0.08677708,0.093327194,0.110798,0.13730231,0.1657505,0.18907665,0.20272057,0.20533656,0.19738026,0.18164705,0.16387863,0.15132076,0.14892386,0.15594713,0.16726454,0.1783414,0.18878426,0.20111395,0.21476768,0.22436036,0.22236414,0.20642973,0.18125634,0.1556532,0.13622652,0.12445772,0.11856949,0.11669282,0.118136734,0.12175706,0.12506682,0.12660398,0.12741737,0.13101286,0.13835269,0.14702006,0.15201563,0.15111111,0.145222,0.13680618,0.12615442,0.11228966,0.09621656,0.08316004,0.08006576,0.09064693,0.11280029,0.1408781,0.169132,0.19395252,0.21242668,0.22280927,0.22498204,0.2223563,0.21969396,0.22035374,0.22385697,0.22710194,0.2272401,0.2237305,0.21807969,0.21238767,0.20808636,0.20605367,0.20600456,0.20697916,0.20713705,0.20557587,0.20230995,0.19841509,0.19461936,0.19116174,0.1877364,0.18405299,0.18006076,0.17596066,0.17183687,0.16747338,0.16272189,0.1580263,0.15428597,0.15198024,0.15063398,0.14935867,0.1477196,0.14603128,0.14461528,0.1432389,0.14113927,0.13774379,0.1330384,0.12753709,0.121745735,0.116115086,0.11083755,0.10644033,0.1039365,0.10577905,0.11469928,0.13199352,0.15461804,0.1765442,0.19202691,0.20005019,0.20337634,0.2057753,0.20835395,0.2104566,0.2111476,0.21307248,0.2225966,0.24869315,0.2934272,0.3501955,0.4066677,0.46061364,0.515419,0.57000256,0.60363674,0.5947307,0.53905874,0.4606137,0.3879793,0.33847412,0.30974522,0.29306194,0.27854347,0.2622243,0.24242467,0.22047973,0.19693823,0.1765563,0.16935487,0.18759823,0.23385918,0.29528987,0.35103253,0.3849169,0.392778,0.37832585,0.34942302,0.31536445,0.28658697,0.2690506,0.26044357,0.25084034,0.23090808,0.20037813,0.16926114,0.15268014,0.15903483,0.18613869,0.22077306,0.25077847,0.26977894,0.28119576,0.29002514,0.30009013,0.30999386,0.3163015,0.31385788,0.29905567,0.27060458,0.231847,0.19054262,0.15749614,0.14317669,0.15111275,0.17521419,0.1989068,0.20725758,0.19489406,0.17343704,0.16008788,0.1669681,0.1903102,0.2163866,0.23231047,0.2363664,0.2355292,0.2359152,0.23810409,0.2442457,0.26607072,0.3168864,0.3937002,0.46994352,0.5146399,0.51648843,0.49045292,0.46040657,0.44066322,0.4321252,0.42944634,0.42898527,0.42918256,0.42996505,0.43081573,0.4317533,0.43245366,0.43161258,0.42547902,0.40888575,0.37856996,0.33613408,0.28795996,0.24237765,0.20824885,0.19504285,0.2103015,0.25375512,0.3130249,0.3691832,0.40763488,0.42585143,0.4301804,0.42797914,0.42230722,0.41153598,0.39227036,0.36155403,0.3219616,0.28139326,0.25034,0.23287983,0.22590417,0.22329138,0.22244962,0.22319235,0.22435331,0.2234645,0.22108363,0.22192854,0.23146467,0.24948303,0.26757994,0.2730273,0.25723857,0.22497006,0.19199611,0.17517136,0.17851491,0.19355059,0.20779485,0.2155484,0.21888126,0.2241307,0.2390157,0.26864862,0.31260267,0.36301896,0.4136537,0.46316203,0.51147246,0.54759073,0.55486816,0.5257096,0.47332546,0.42091227,0.3848193,0.3664823,0.3589166,0.3556725,0.3539585,0.35404703,0.3568962,0.3634921,0.3729322,0.38235745,0.38677725,0.3825623,0.36942077,0.351671,0.3330023,0.31361517,0.29162037,0.27130476,0.2645222,0.28176323,0.31930932,0.35940742,0.38362598,0.38660976,0.3758895,0.36225307,0.3516607,0.34578463,0.34442273,0.3468841,0.3488866,0.34425747,0.32847303,0.30808282,0.30311552,0.33690873,0.4143276,0.505681,0.5617445,0.5480655,0.47277877,0.37702933,0.3025236,0.26808488,0.2666123,0.28068188,0.29172325,0.29119918,0.27926457,0.26401404,0.25155252,0.24565189,0.24838454,0.2639152,0.29409814,0.33459792,0.37438193,0.40142086,0.40998682,0.4045087,0.40006182,0.41270232,0.44794735,0.4917133,0.52130383,0.52219963,0.4998258,0.47047627,0.44767177,0.4347539,0.42873344,0.42606524,0.42485175,0.42452797,0.4243743,0.42351186,0.42112732,0.4172176,0.41089812,0.4000194,0.3819733,0.35829362,0.33369794,0.31382546,0.30003107,0.2934086,0.29645258,0.31424025,0.34584746,0.38248503,0.41047037,0.42190126,0.41866505,0.40912125,0.40042546,0.39322868,0.3832961,0.365365,0.33862028,0.30692703,0.27602267,0.24908023,0.2263061,0.20841849,0.19706018,0.19119127,0.1840926,0.16912647,0.14978857,0.14052321,0.15595676,0.19698597,0.24790001,0.28693786,0.29843822,0.2830581,0.25261134,0.22345209,0.2039134,0.19499421,0.19246137,0.19366126,0.19813545,0.20858784,0.23026173,0.26731396,0.31736252,0.36970273,0.41561404,0.4552286,0.4960815,0.5362393,0.56335306,0.56339115,0.5391119,0.5060318,0.48114872,0.46978363,0.4677732,0.46848354,0.46837476,0.46786913,0.46816668,0.46954682,0.46994415,0.4668865,0.45813283,0.4419663,0.41601133,0.37773347,0.32753977,0.27158952,0.22348219,0.19878767,0.2089728,0.25279865,0.31714752,0.3815495,0.42943218,0.4533744,0.45569754,0.44340944,0.42434105,0.4049861,0.38824022,0.3725864,0.352538,0.32314852,0.28400335,0.24496375,0.22763789,0.25846472,0.3459688,0.46217823,0.5472183,0.5496282,0.46218243,0.329542,0.212543,0.15527533,0.16449988,0.22105296,0.29149666,0.34983262,0.38295305,0.39446628,0.39252055,0.38547817,0.37829092,0.37515128,0.37772167,0.38441694,0.39128026,0.395254,0.3968533,0.40123114,0.4173108,0.4515234,0.5002777,0.5458417,0.5667567,0.55239016,0.51196176,0.4658382,0.43110093,0.4128376,0.4066802,0.40624747,0.40735045,0.40953696,0.41440699,0.4238193,0.43695834,0.44987178,0.45684123,0.45322683,0.43669787,0.40748593,0.36876035,0.32677627,0.29151806,0.27302256,0.27902755,0.3084496,0.35242164,0.3950956,0.42388502,0.43353865,0.4288812,0.41781327,0.40652576,0.39575014,0.38276878,0.36533853,0.34557712,0.32861352,0.315706,0.30004936,0.27249178,0.23387559,0.19802536,0.18166013,0.18961088,0.21238448,0.23407288,0.24442136,0.24308133,0.2394227,0.24216072,0.25286695,0.2604884,0.25532022,0.23628758,0.2151378,0.20055383,0.19319493,0.18765831,0.18264766,0.18141846,0.18700296,0.20144163,0.22679634,0.2642341,0.30937877,0.35605454,0.40281722,0.45239583,0.49940157,0.5274194,0.52105063,0.48358664,0.43431997,0.39396504,0.37107536,0.36409485,0.36698207,0.37318596,0.37675202,0.37456468,0.3686203,0.36376345,0.36470082,0.3708816,0.37705073,0.37316093,0.3514835,0.30907616,0.25232688,0.19423176,0.15337706,0.14680994,0.18100588,0.24509299,0.31401017,0.36426547,0.38611916,0.38644075,0.3768818,0.36356533,0.34298524,0.30830172,0.25858828,0.20479065,0.16733156,0.16358882,0.19866955,0.26382953,0.34904853,0.443503,0.53209037,0.58500355,0.57517105,0.49668467,0.38015917,0.27217022,0.2123732,0.21047445,0.2508931,0.30160305,0.33535087,0.3395022,0.32231128,0.3023057,0.2945042,0.29887706,0.3005794,0.2840662,0.24609953,0.20221454,0.17288898,0.17143394,0.19669415,0.24522722,0.31455693,0.40079343,0.4853537,0.542434,0.55456895,0.529266,0.49068773,0.46231124,0.45260572,0.45721814,0.46729574,0.47609353,0.4806538,0.48121217,0.48033848,0.48018965,0.48049393,0.47662595,0.4625266,0.43402743,0.39291203,0.3462671,0.30249122,0.26904684,0.25108996,0.25538203,0.28526148,0.338526,0.40135577,0.4573871,0.4940363,0.51027626,0.51164,0.50519556,0.49435434,0.4775578,0.45021427,0.40724406,0.34907985,0.2820906,0.21816944,0.16831861,0.1410668,0.13844758,0.15672638,0.18583359,0.2162327,0.24327789,0.2695316,0.29872134,0.33128604,0.36237255,0.38501918,0.39242443,0.3809743,0.3518521,0.31206763,0.2724214,0.24287428,0.23007214,0.23312253,0.24624057,0.25966784,0.2709997,0.28508237,0.31052363,0.34657124,0.38555446,0.42295948,0.46232852,0.5059652,0.5436805,0.56071854,0.5513968,0.52628434,0.50019085,0.4818202,0.469815,0.4593999,0.44726565,0.4338788,0.42185652,0.41350928,0.40929487,0.40772438,0.40510747,0.39568385,0.37228987,0.33120036,0.27669844,0.22188334,0.18357663,0.17417789,0.19839312,0.2507801,0.3190523,0.3852837,0.43494952,0.46130982,0.4688648,0.46627712,0.4608483,0.4540211,0.44186974,0.41712955,0.3726671,0.30788708,0.23181838,0.1653642,0.13485537,0.1667801,0.26809838,0.41483316,0.546686,0.60387087,0.5634818,0.46174896,0.36049744,0.30568948,0.30083907,0.3211682,0.33829144,0.33805886,0.32136944,0.2961419,0.27011487,0.24815257,0.23562033,0.23751266,0.25488994,0.27902782,0.29572988,0.2955685,0.28134742,0.2652559,0.2568303,0.25755408,0.26137933,0.26278695,0.2584876,0.2478416,0.23150967,0.21358156,0.20075174,0.19815093,0.20369077,0.20881434,0.20484942,0.1900245,0.1702037,0.15407212,0.1481992,0.1539678,0.1682143,0.18397488,0.19398367,0.19348903,0.18279748,0.16629344,0.15018576,0.13987523,0.13861887,0.14619897,0.15911108,0.17133509,0.17808479,0.17762595,0.17217036,0.1646611,0.15711051,0.14950512,0.14147605,0.13299836,0.12477382,0.117478274,0.11131663,0.10597109,0.10091716,0.095963396,0.09129611,0.08734035,0.08426091,0.081836276,0.07976696,0.07840987,0.07976844,0.08723849,0.10462413,0.13281904,0.1679473,0.20033878,0.21919066,0.21853955,0.202843,0.18443166,0.17481004,0.17624106,0.18155932,0.18258305,0.17663155,0.16660517,0.15459096,0.14059363,0.12544723,0.11539766,0.11886229,0.14034547,0.17560655,0.21449721,0.2458489,0.26250017,0.26165,0.2448719,0.21623819,0.18186744,0.14793427,0.119574666,0.09971402,0.08910665,0.08667135,0.08987099,0.09608883,0.10378737,0.11343207,0.1258595,0.14072376,0.15557413,0.16759515,0.17530668,0.17951657,0.18184827,0.18317278,0.18245341,0.17809093,0.16929366,0.15707408,0.14312302,0.12920532,0.11730047,0.110547364,0.1120669,0.12234723,0.13709243,0.14948809,0.15476632,0.15378173,0.15121764,0.15133333,0.15480964,0.15982465,0.1646999,0.16946025,0.17459936,0.17979555,0.18361713,0.18523078,0.18450414,0.18177067,0.17673124,0.1694486,0.16014178,0.14866996,0.13419369,0.11707386,0.10078453,0.089506954,0.085891694,0.08975398,0.102850445,0.12681462,0.16116033,0.1984852,0.23168789,0.2579613,0.28039214,0.30020952,0.31457525,0.31930396,0.31406185,0.30263972,0.2893013,0.2762425,0.26366156,0.2512764,0.2390408,0.2271332,0.21607137,0.20610617,0.1963893,0.18407272,0.16554825,0.1389878,0.10637259,0.07318309,0.04531288,0.026745021,0.019524366,0.026373135,0.051640045,0.096791394,0.15595245,0.21464188,0.2588271,0.28137484,0.2855041,0.27816498,0.26590106,0.25184083,0.23726618,0.2224922,0.20773138,0.19340956,0.17995822,0.16759433,0.15609115,0.1450823,0.13448064,0.12485538,0.11810655,0.117231965,0.12514926,0.14208065,0.16492386,0.18888132,0.2103075,0.22677396,0.23493476,0.22940838,0.20636411,0.16838922,0.1269803,0.09675143,0.08731004,0.09676298,0.11545042,0.13464664,0.15266569,0.17261899,0.19503792,0.21705009,0.23565845,0.2528899,0.27167007,0.29196504,0.30829492,0.31563073,0.31254998,0.3023493,0.2888571,0.27471423,0.26065993,0.24686056,0.23342735,0.2206438,0.2087537,0.19744144,0.18551087,0.17128016,0.15322806,0.1313835,0.10733557,0.084403664,0.06523774,0.05160469,0.0452166,0.051633596,0.07931892,0.13313936,0.2060961,0.27950934,0.33400095,0.36093983,0.36543897,0.35854936,0.34945586,0.341915,0.3360456,0.3303649,0.3234948,0.31499922,0.3055209,0.2957835,0.28589562,0.27505425,0.26242253,0.24740088,0.2306392,0.2147855,0.20386183,0.20124173,0.20684938,0.2193848,0.23833923,0.26553217,0.3000739,0.3365613,0.36687604,0.38598824,0.3936255,0.39167193,0.38151622,0.36346373,0.33821985,0.3064047,0.26924518,0.2279532,0.18625705,0.1493203,0.1251406,0.11952265,0.1341152,0.1623827,0.19478963,0.22312875,0.24465732,0.25939092,0.2679827,0.27114746,0.27111962,0.2710018,0.27289376,0.27614415,0.27878463,0.27929497,0.2783209,0.2773893,0.27775088,0.2790242,0.27943817,0.27573135,0.26333734,0.2378989,0.19929825,0.15579383,0.12287893,0.11508723,0.1358097,0.17460412,0.21403225,0.24117452,0.25303757,0.25489482,0.25344715,0.2529695,0.25421956,0.25630423,0.2579597,0.25862762,0.2587545,0.25944388,0.26167488,0.2654338,0.2698846,0.27382734,0.2765529,0.27786908,0.2782315,0.27843225,0.27948967,0.28208122,0.2857735,0.2891404,0.2903551,0.28904173,0.28612825,0.28324166,0.28076887,0.27796355,0.2739334,0.26864848,0.26314571,0.25825155,0.25456938,0.25184396,0.25017706,0.24953978,0.2502546,0.2513038,0.25061658,0.24505876,0.2328009,0.21352887,0.18874682,0.16084361,0.13386561,0.113414764,0.10510493,0.11137799,0.12981524,0.15434866,0.1789364,0.19976781,0.21604015,0.22832716,0.23793608,0.24561958,0.2513847,0.25432178,0.25335175,0.24822722,0.23975815,0.23018374,0.22177942,0.21601151,0.21151106,0.20521782,0.19360922,0.17567222,0.15295127,0.12915282,0.10791113,0.092377715,0.08515558,0.08939584,0.10669812,0.13490875,0.16601776,0.19070764,0.20303039,0.20403051,0.19788569,0.18774575,0.1730389,0.15283614,0.12988281,0.11324063,0.113088705,0.13415822,0.16975258,0.20740102,0.23612988,0.2537358,0.26261422,0.2649401,0.25887066,0.24327286,0.22116554,0.19968474,0.1829723,0.1684808,0.14944947,0.12317253,0.095593244,0.078939594,0.085042514,0.11844349,0.1732793,0.23482883,0.2862102,0.31656852,0.3246888,0.31739327,0.3034041,0.28911546,0.27606097,0.26284167,0.24800114,0.2325992,0.21966182,0.21140568,0.20789512,0.20706351,0.20713718,0.2069908,0.20673746,0.20660545,0.2071138,0.20845775,0.21073282,0.21407618,0.21927534,0.2271866,0.2374645,0.24732547,0.25278065,0.25089276,0.24207789,0.22957718,0.21775354,0.20918258,0.20390765,0.19972982,0.19485812,0.18863608,0.18190782,0.17548145,0.17046088,0.16763212,0.16730486,0.16821523,0.168606,0.16732515,0.16497551,0.16288972,0.16243595,0.16396219,0.1666432,0.16850656,0.16754611,0.16332461,0.15724818,0.15169634,0.14814499,0.1468456,0.14702861,0.14770085,0.14768724,0.14604062,0.14249228,0.13797861,0.1345661,0.13573636,0.14648153,0.17184041,0.21229182,0.25999603,0.30060652,0.3219587,0.32143083,0.30607155,0.28546858,0.2656962,0.2482347,0.23260035,0.21867983,0.20692508,0.1980688,0.19253619,0.19023131,0.19002642,0.18960202,0.18670397,0.18045253,0.17217214,0.16376074,0.15624033,0.1499216,0.14603275,0.14773214,0.15752417,0.17487133,0.19473834,0.21108246,0.21957524,0.21999961,0.21447419,0.2063847,0.19827579,0.19185282,0.1870048,0.18298538,0.17855346,0.17368531,0.16899444,0.16609055,0.16583048,0.16807453,0.17118199,0.17351423,0.17429687,0.17347133,0.17096144,0.16656238,0.16179086,0.15955436,0.16232717,0.16851689,0.17359169,0.17353304,0.1686666,0.16243227,0.15790297,0.15533693,0.15309381,0.15002231,0.14646037,0.14358163,0.14191364,0.14107984,0.1401075,0.13807945,0.13425191,0.12810268,0.119823016,0.10969293,0.097947866,0.083900176,0.06758482,0.050163183,0.034268137,0.02200461,0.014130253,0.009865485,0.007919719,0.0070798094,0.006573971,0.00602044,0.00536951,0.00467385,0.004016317,0.0034288147,0.0029429244,0.0025498513,0.0022320903,0.0019516329,0.0016941084,0.0014484855,0.0012210635,0.0010144784,0.0008440121,0.00071723113,0.00063297915,0.0005729513,0.0005193364,0.00046312078,0.00040328308,0.00034053205,0.00027368608,0.00020606593,0.00014312925,9.193413E-05,5.451927E-05,3.0138006E-05,1.5492582E-05,7.706284E-06,4.1790568E-06,3.047114E-06,2.9911123E-06,3.220698E-06,3.3729857E-06,3.3219947E-06,3.1083061E-06,2.796166E-06,2.486774E-06,2.2367315E-06,2.0881998E-06,2.0111056E-06,1.963476E-06,1.914305E-06,1.8693187E-06,1.8558181E-06,1.8786108E-06,1.933435E-06,1.9926254E-06,2.0313148E-06,2.0263112E-06,1.965598E-06,1.8632858E-06,1.743478E-06,1.646977E-06,1.6015206E-06]