[0.25608933,0.2551401,0.25244394,0.24809955,0.24360718,0.2407835,0.24031724,0.24145204,0.24337949,0.24604695,0.24933009,0.25221145,0.25319967,0.25195676,0.24976604,0.24817276,0.24768324,0.2476545,0.24784976,0.24860246,0.25023377,0.25175762,0.251794,0.24965675,0.24645609,0.24408586,0.24404931,0.24644579,0.25006667,0.25303164,0.25348493,0.25034422,0.24373762,0.2351231,0.22649705,0.21955764,0.21475767,0.21160543,0.20887631,0.20551251,0.2009011,0.19513841,0.18893206,0.18288487,0.17736875,0.17199905,0.16647099,0.16053247,0.15448694,0.14868207,0.14342754,0.13885887,0.13488926,0.131274,0.12745447,0.122725606,0.11657208,0.1090805,0.10137505,0.094942816,0.090803556,0.0885536,0.08690995,0.08481181,0.0820421,0.07888801,0.07536176,0.07135354,0.06709982,0.06337772,0.06086916,0.05951975,0.05858862,0.057341877,0.055620372,0.053735975,0.052010212,0.05038027,0.048609763,0.046447832,0.04387654,0.04096636,0.03785984,0.034683246,0.031545263,0.028586857,0.025924558,0.023608955,0.021528728,0.019546993,0.017651794,0.015985042,0.014679146,0.013674804,0.012805201,0.011972517,0.011277568,0.01087942,0.0107691595,0.010731581,0.010490532,0.009981279,0.009340752,0.008790047,0.008410593,0.008188489,0.008077371,0.008112829,0.008261659,0.00840088,0.00826664,0.007733701,0.006822582,0.005765123,0.0047240844,0.003818131,0.0030719328,0.0025930814,0.0025058973,0.0029103665,0.0037908328,0.0050812573,0.0067084827,0.008529288,0.010308482,0.0118873315,0.013566069,0.01625692,0.021051338,0.02865734,0.03879946,0.051080782,0.06553198,0.08383701,0.10832546,0.14148322,0.18407725,0.23369038,0.2841859,0.32707837,0.35672536,0.37209818,0.37754926,0.37820336,0.37867722,0.38028756,0.38148788,0.3791016,0.3728666,0.3676416,0.37010613,0.38211474,0.3984822,0.41121936,0.41682145,0.41732422,0.4183971,0.42386827,0.43483648,0.44757977,0.45634806,0.45515653,0.44372737,0.42774856,0.41799995,0.42151245,0.437102,0.45408678,0.46143293,0.45505652,0.4395523,0.422436,0.40933,0.4029347,0.40466163,0.41416088,0.42987308,0.4482403,0.46502912,0.47483024,0.47406188,0.46428326,0.45411268,0.4543089,0.4702877,0.49599734,0.51784927,0.52200943,0.50537527,0.4749901,0.44443867,0.4230344,0.41442832,0.41614988,0.42426893,0.4332129,0.43739915,0.43332255,0.42263135,0.4127797,0.41231847,0.42628744,0.4524444,0.4836161,0.51183105,0.5330524,0.5480058,0.55873877,0.5652764,0.56410843,0.55290455,0.5330426,0.5122145,0.4984825,0.4963285,0.5015843,0.5063471,0.50396144,0.49514723,0.48515335,0.4804316,0.482402,0.48693547,0.48623332,0.47636914,0.4633199,0.45982757,0.47647277,0.5106117,0.549304,0.575074,0.5775245,0.55523276,0.5181596,0.48048922,0.45410228,0.4403124,0.4318641,0.41986272,0.40166572,0.3815275,0.36534336,0.3561268,0.35286328,0.35426047,0.3609179,0.37559977,0.3999519,0.42979142,0.45525312,0.46606073,0.46336424,0.46212327,0.4834137,0.5378823,0.6173685,0.698668,0.75523734,0.7699626,0.74069816,0.67987865,0.60478014,0.52986807,0.4639813,0.41527152,0.39053825,0.3894334,0.40006754,0.40753457,0.40543628,0.39888895,0.3953135,0.39716825,0.40344778,0.4139212,0.42990288,0.44933817,0.46906316,0.48616675,0.5021591,0.5166809,0.5270129,0.5280759,0.5187685,0.5032965,0.48931205,0.48428008,0.49127373,0.50615984,0.5188077,0.51807755,0.50175995,0.47637025,0.4559405,0.4507467,0.46741486,0.50489676,0.55916303,0.61979413,0.67235106,0.6994106,0.68976206,0.6456625,0.58470416,0.5301736,0.49896,0.4941133,0.508641,0.531424,0.55386573,0.5705288,0.5809421,0.5887465,0.6014579,0.6260584,0.6636359,0.7052467,0.7350876,0.7392721,0.71548915,0.67229295,0.6235955,0.5781722,0.5404589,0.5096105,0.48612502,0.46836868,0.455186,0.44156805,0.42336938,0.3975089,0.3672941,0.3387666,0.31803772,0.30501506,0.29539678,0.28471017,0.27340117,0.26628378,0.2667475,0.2743429,0.28480765,0.29675803,0.3119012,0.3334222,0.36133075,0.39215717,0.42214385,0.4480894,0.46846685,0.48198202,0.488253,0.48810852,0.48241642,0.47427413,0.4666281,0.46442008,0.4701812,0.4865435,0.5116589,0.5392707,0.55689365,0.5542876,0.5307965,0.49706152,0.467146,0.44896546,0.4432962,0.44561818,0.4517412,0.4570895,0.459968,0.4598963,0.45988145,0.46242568,0.46979392,0.47996214,0.48947573,0.49457774,0.49702656,0.50092226,0.50871116,0.51470447,0.5102629,0.49110365,0.46365026,0.4383386,0.42146477,0.41026798,0.39982423,0.3887736,0.38184258,0.38402796,0.39655542,0.41394368,0.42672217,0.4266033,0.4132191,0.39479542,0.38203868,0.3795826,0.383886,0.38720572,0.38360247,0.37128058,0.35343155,0.33540216,0.32364535,0.32113698,0.32912302,0.3443843,0.3626994,0.37739792,0.38548604,0.38800108,0.38983214,0.3939886,0.40079057,0.41151056,0.42948794,0.4569591,0.48707113,0.508568,0.51258665,0.5033457,0.4904203,0.48155618,0.47273144,0.4564054,0.42822167,0.39480987,0.36696553,0.35299817,0.35295793,0.36202466,0.3759184,0.39357832,0.41473433,0.43554613,0.44882408,0.449163,0.43776473,0.4220878,0.4106219,0.40900669,0.419867,0.44316033,0.4765997,0.5118104,0.5382054,0.5459649,0.5362844,0.5178914,0.50274575,0.49507543,0.49296436,0.49236032,0.49420533,0.5028686,0.52117085,0.5441647,0.56095386,0.562675,0.5488456,0.52657366,0.5027793,0.48392114,0.4769846,0.49019217,0.5220356,0.55700594,0.57278925,0.5591306,0.5252322,0.49093345,0.4684335,0.45633557,0.44652566,0.43738052,0.43590298,0.4510906,0.48329112,0.521355,0.548207,0.55195045,0.5333025,0.5051767,0.4812521,0.46771237,0.45829618,0.44621313,0.42783225,0.40970573,0.39674047,0.39393866,0.39936772,0.41184583,0.42629716,0.4385871,0.44435373,0.44245663,0.4340595,0.41979197,0.40053132,0.3765492,0.3516558,0.3294671,0.31395003,0.30489507,0.3010204,0.29857087,0.29526243,0.28931364,0.28218302,0.27534267,0.26972982,0.26271692,0.25115585,0.23279388,0.2093854,0.18500388,0.16426295,0.14935367,0.13920979,0.13088991,0.12173066,0.111422956,0.10140953,0.09344228,0.088029385,0.08439818,0.08143284,0.078332305,0.07542047,0.07415185,0.07722496,0.08702012,0.104429126,0.12792216,0.15510178,0.1845602,0.21678989,0.25273785,0.29177526,0.33206132,0.37180576,0.41033745,0.4459593,0.47580394,0.49659884,0.50870085,0.51542115,0.5217931,0.5292616,0.53566796,0.5363486,0.53015536,0.52191013,0.51978564,0.52806705,0.54140013,0.5495469,0.54563755,0.53350335,0.5220985,0.51826483,0.52078706,0.52541465,0.5294315,0.53354454,0.5375251,0.5370223,0.5265526,0.50428003,0.47707295,0.45652214,0.45269775,0.46647516,0.48867884,0.50744724,0.51535183,0.5160273,0.5165952,0.52293223,0.5306744,0.5325129,0.5225146,0.50482446,0.48814777,0.4811761,0.48632574,0.50141895,0.5215276,0.5395928,0.5483556,0.54252243,0.5246838,0.5022208,0.48479533,0.47626254,0.47682926,0.48240325,0.48960856,0.49572268,0.50110596,0.5078574,0.5175964,0.52954286,0.53976256,0.5431791,0.5362757,0.51940006,0.49791744,0.47783422,0.46385226,0.45651612,0.45563552,0.45982763,0.46708593,0.47425035,0.47751746,0.47517088,0.4660122,0.45232102,0.43607175,0.42170176,0.41056728,0.4038761,0.3992047,0.39606366,0.3935921,0.39371303,0.39614138,0.4007051,0.4048537,0.40755212,0.4071504,0.40372303,0.39759803,0.39106873,0.38702822,0.38754514,0.39289406,0.40121803,0.4113946,0.4222052,0.4324344,0.43979514,0.44382647,0.44742325,0.45343533,0.46114817,0.46508014,0.4622749,0.4550719,0.45026347,0.45126912,0.45704374,0.4637729,0.46949413,0.47265694,0.47101673,0.46239448,0.44799456,0.4328444,0.42154637,0.41535723,0.4129475,0.41328263,0.41659117,0.42191315,0.42763117,0.4317058,0.43526483,0.43991923,0.44677103,0.45171154,0.44925776,0.43563864,0.41376004,0.3892957,0.3667349,0.3476515,0.33445117,0.33201092,0.34435272,0.36916983,0.39833006,0.4232583,0.44081807,0.45223042,0.45907483,0.46245584,0.46506307,0.47249937,0.48809123,0.5087884,0.5268069,0.53567976,0.5352518,0.5292848,0.52238506,0.5180731,0.5190796,0.52728117,0.5408316,0.55436116,0.55906934,0.546892,0.5132399,0.46336898,0.4115182,0.37644538,0.3663353,0.3761355,0.3899177,0.39936697,0.40624103,0.4220021,0.44991484,0.48307732,0.5046049,0.5038515,0.48064086,0.44597992,0.41135252,0.38516673,0.37203363,0.37421083,0.3887234,0.40496004,0.40995812,0.39674553,0.36955336,0.33889046,0.31408718,0.29877165,0.29245365,0.29366937,0.30169487,0.31484464,0.33039305,0.34498712,0.35818326,0.37005308,0.3810116,0.38924122,0.39574146,0.40220758,0.41113248,0.42079714,0.42897406,0.43351385,0.4344585,0.43180642,0.42730165,0.42488834,0.42974555,0.44246492,0.45748675,0.4654124,0.46046785,0.44324234,0.42101327,0.40279672,0.3944684,0.39504364,0.39879942,0.40175045,0.40444455,0.4093567,0.41450262,0.41437277,0.40471134,0.38900772,0.37623253,0.3758128,0.3896784,0.41253516,0.4336479,0.44429216,0.43964508,0.4216844,0.39658085,0.37292925,0.35671046,0.34920534,0.34803304,0.3519641,0.36306512,0.38415518,0.41300333,0.44145265,0.45988038,0.46332064,0.45406795,0.4384084,0.42477953,0.4176532,0.4170936,0.41504765,0.40342888,0.37754357,0.3422282,0.3056405,0.2763845,0.25812593,0.25263175,0.25910115,0.27570894,0.2952814,0.30915594,0.31040457,0.3021284,0.29245248,0.2905892,0.2987903,0.31525567,0.33356667,0.34611043,0.34602726,0.33285585,0.31362167,0.29899386,0.29660353,0.3078213,0.32792756,0.35041144,0.369126,0.38093314,0.38358453,0.3762299,0.3595036,0.33693877,0.31493115,0.29968563,0.296366,0.3050677,0.32160762,0.33722952,0.3445597,0.34025654,0.32667935,0.30882826,0.29296872,0.28430942,0.28656602,0.29875866,0.31593135,0.33000377,0.33613077,0.3349992,0.33305088,0.33596978,0.3452159,0.35740098,0.3693205,0.38023928,0.39221728,0.40698943,0.42508718,0.44601524,0.46820986,0.4883387,0.5002853,0.49874195,0.48175666,0.45405984,0.42417952,0.40201172,0.3930266,0.396565,0.40631625,0.4146336,0.41558754,0.4055632,0.38417616,0.355257,0.32720837,0.3090748,0.30561635,0.31454977,0.32798266,0.33693612,0.33569053,0.3245372,0.3089889,0.29677632,0.29399332,0.30226815,0.31919304,0.34015656,0.36133555,0.3789167,0.38882145,0.38658866,0.3716162,0.3484769,0.32555386,0.30933523,0.30193755,0.30157387,0.30554512,0.31110242,0.315016,0.31357443,0.30451748,0.2888408,0.27032125,0.25329223,0.24026567,0.2319221,0.22699004,0.2235985,0.21876878,0.21021204,0.1963834,0.17821707,0.15801042,0.13921164,0.12428135,0.11433794,0.108703814,0.10621505,0.105721354,0.105880536,0.10475528,0.10037395,0.09265065,0.08361397,0.07649576,0.07318414,0.07342177,0.07465553,0.07393808,0.069598645,0.06250242,0.055058297,0.049406707,0.046211686,0.044979263,0.045162085,0.04664424,0.049721792,0.054416295,0.0603081,0.066494815,0.07263576,0.07944778,0.088545375,0.10067146,0.11423818,0.12572508,0.13196568,0.1330513,0.13223784,0.13403237,0.14052303,0.15123312,0.16416623,0.17866977,0.19480594,0.21183847,0.22634369,0.23366268,0.23138142,0.22189318,0.21126734,0.20491444,0.2041666,0.20694877,0.2107092,0.2145677,0.21809418,0.22000088,0.21819948,0.21193592,0.20298354,0.19491361,0.19077313,0.19110322,0.19376194,0.195566,0.19461559,0.19124949,0.18717138,0.18381266,0.18207975,0.18324731,0.18893772,0.19914228,0.21046174,0.21800597,0.21947789,0.21745877,0.21637768,0.2180851,0.2205313,0.22107492,0.22042038,0.22221029,0.23025054,0.24444878,0.26173636,0.27691743,0.2863344,0.28801835,0.28362858,0.27679744,0.27233684,0.27259836,0.2776303,0.28579006,0.29715484,0.3116791,0.32705116,0.33612218,0.33241,0.316026,0.2964367,0.2849826,0.28556526,0.2916664,0.29281843,0.28472182,0.27080274,0.25880197,0.2526411,0.25217742,0.25341198,0.25394604,0.25360945,0.2550154,0.2588508,0.26252463,0.2614032,0.2540554,0.24412276,0.23734339,0.23712377,0.24156223,0.24605227,0.24536677,0.23731454,0.22242153,0.2039326,0.18599467,0.17282297,0.16774303,0.17250736,0.18619655,0.20624143,0.22881603,0.25225142,0.27600515,0.30086455,0.32448128,0.34248212,0.34990683,0.3463408,0.3355275,0.32373798,0.3156929,0.31393328,0.3179808,0.32552138,0.33317754,0.33844373,0.34055337,0.33976707,0.3370819,0.33268723,0.3271759,0.3199861,0.31158534,0.3028091,0.29719076,0.2982918,0.3081236,0.32484064,0.34465122,0.36432353,0.38152894,0.39421427,0.399374,0.39595413,0.38557112,0.37259707,0.36006632,0.34681273,0.32825342,0.29974437,0.2628749,0.22449093,0.19442368,0.17785136,0.1749471,0.18172581,0.1945011,0.21099895,0.2300357,0.25097516,0.2718005,0.28924322,0.29882416,0.2987881,0.29119432,0.28009483,0.26823714,0.25664425,0.24730021,0.24393936,0.2485112,0.25945225,0.26974097,0.27336827,0.26633835,0.25200084,0.23613155,0.2260809,0.22544044,0.23446691,0.24959314,0.26468313,0.27464423,0.27738452,0.27658555,0.27629474,0.278883,0.28166208,0.2824035,0.28159022,0.28306702,0.28878328,0.29580602,0.29938748,0.29778203,0.29553857,0.29972705,0.31564358,0.3419551,0.36989674,0.38704678,0.38505387,0.3659896,0.33963585,0.31553438,0.29667246,0.2818581,0.27122617,0.26793334,0.2741532,0.28699815,0.29974246,0.3070654,0.30905047,0.3097173,0.31296995,0.3185257,0.3238584,0.32668754,0.32873237,0.3336129,0.34393498,0.35850585,0.3723425,0.37944463,0.37483963,0.3574036,0.3313781,0.30637458,0.29490313,0.3056058,0.33727312,0.3766935,0.4058863,0.41358888,0.40155783,0.381057,0.36254796,0.35049367,0.3440391,0.34208408,0.34423792,0.35022044,0.3588306,0.37029397,0.38682374,0.40960297,0.43276358,0.4434575,0.42998007,0.3923746,0.34414044,0.3039403,0.2851124,0.28959927,0.30792964,0.32400265,0.32482234,0.30963358,0.2889671,0.27427927,0.26773688,0.2642624,0.259444,0.2550244,0.25484958,0.26159132,0.27444693,0.2934315,0.31629908,0.33971736,0.35520467,0.357185,0.3433397,0.31897512,0.28987488,0.26187393,0.2377878,0.22014345,0.21014667,0.20786922,0.21184091,0.21977472,0.22897784,0.23615621,0.23813118,0.23356217,0.22436555,0.21518786,0.21048701,0.21252465,0.22071962,0.23269147,0.24488826,0.25282386,0.25323156,0.2451238,0.23194204,0.21856129,0.21045648,0.2096952,0.21636517,0.22788401,0.24242532,0.25799087,0.27321458,0.2855861,0.29283533,0.29416156,0.2920706,0.29206935,0.29858956,0.31113338,0.32283738,0.32634053,0.3180736,0.30053353,0.2788366,0.25988197,0.25000474,0.25216666,0.26303422,0.2748249,0.281692,0.28283107,0.28115785,0.27953008,0.28054467,0.28873995,0.30991593,0.34608337,0.38934115,0.42255077,0.4285387,0.40047622,0.34656873,0.28423762,0.23162656,0.19915389,0.18761142,0.19025695,0.19843097,0.20658457,0.21318974,0.2194285,0.22495659,0.22779994,0.22571999,0.22095652,0.2202151,0.23017496,0.2502694,0.27130982,0.28229997,0.27987826,0.27153662,0.26967743,0.28299853,0.31124082,0.3474704,0.38294825,0.41300988,0.43710902,0.45566484,0.46622846,0.46497372,0.45226252,0.43385658,0.41735372,0.40548098,0.3963784,0.38739252,0.37839785,0.3705957,0.3629974,0.35331395,0.33977422,0.32408395,0.30909127,0.29715192,0.2887889,0.28460208,0.28624412,0.2959293,0.31391263,0.33706877,0.35904494,0.37392333,0.37896976,0.37695086,0.37288964,0.37049595,0.36842227,0.36274126,0.35061207,0.33368644,0.31617975,0.30245206,0.29454386,0.2927631,0.29631868,0.30407587,0.31474194,0.32630107,0.3361632,0.34170544,0.34165493,0.33781755,0.33386037,0.3340232,0.33898544,0.34621513,0.35075137,0.34923577,0.34156787,0.33025625,0.31815544,0.3061025,0.29374328,0.2809846,0.26959094,0.26293823,0.26428422,0.27494243,0.2922491,0.3105892,0.3235575,0.32809684,0.32484114,0.31707156,0.3074455,0.2982533,0.29258516,0.2949295,0.30852398,0.33191678,0.359188,0.38352606,0.40082967,0.4097624,0.40973997,0.40152958,0.3898616,0.38440824,0.39389002,0.41795918,0.4436387,0.45315322,0.43647262,0.40024793,0.36359382,0.3454115,0.35186577,0.37308013,0.39073566,0.38876164,0.36255336,0.31907555,0.27250952,0.23561114,0.21534693,0.21154095,0.22100239,0.24014194,0.26721916,0.29996717,0.3354254,0.36892244,0.39679167,0.41637996,0.42653534,0.42587805,0.41343346,0.39005807,0.36083582,0.33409938,0.31817195,0.3163654,0.3261774,0.34070233,0.35305214,0.35861635,0.35692915,0.350999,0.3449411,0.34118608,0.33895722,0.3369929,0.3348477,0.3332359,0.33118263,0.3271275,0.32116875,0.31642294,0.31570527,0.31757256,0.3170468,0.31039628,0.30009368,0.29394758,0.2999762,0.32006642,0.34797218,0.37235746,0.38257754,0.37403318,0.34955442,0.3182784,0.2903618,0.272486,0.26441625,0.26160952,0.26027513,0.2617414,0.27086362,0.28988087,0.31442925,0.33540383,0.3460721,0.3451352,0.33648026,0.3253752,0.3174117,0.31734976,0.32618818,0.3409824,0.35321176,0.35551298,0.3428634,0.31937006,0.29421058,0.27869272,0.2769101,0.28466144,0.2934301,0.2988154,0.30414474,0.31693625,0.34261382,0.38063562,0.4251152,0.46734366,0.49801925,0.51009613,0.50161713,0.477753,0.44852993,0.42262957,0.4027932,0.3862722,0.37107614,0.3586856,0.35245606,0.35412213,0.36395493,0.38324288,0.41208908,0.4468106,0.47766766,0.49515936,0.49402153,0.47611377,0.4464419,0.41138104,0.3770804,0.3489687,0.33075926,0.3229967,0.32570907,0.3368372,0.35433316,0.37157628,0.38524592,0.39490268,0.4075215,0.4251357,0.44291675,0.44908938,0.43729973,0.41091904,0.38031623,0.355111,0.33978298,0.33474648,0.33758366,0.34374937,0.3482823,0.34928516,0.35120234,0.3589095,0.37168607,0.37992215,0.37416634,0.35260972,0.3225149,0.295709,0.28181577,0.28614253,0.30505884,0.32960916,0.35095063,0.36861727,0.38790116,0.40957484,0.42479554,0.42145038,0.39855215,0.36780098,0.3447645,0.33610764,0.3399891,0.35345742,0.379678,0.423694,0.48225093,0.5358086,0.5580938,0.5340277,0.47524774,0.4095757,0.36253726,0.33953798,0.3320459,0.3273486,0.320497,0.31303132,0.31095207,0.31828114,0.33410272,0.3511168,0.35975853,0.35380945,0.33489272,0.31099498,0.2938217,0.2906892,0.30218205,0.31790876,0.3263228,0.32035598,0.30555168,0.29186723,0.28652212,0.2874328,0.28876707,0.28828454,0.2908567,0.30355108,0.32815337,0.35725033,0.37948325,0.38631928,0.37816796,0.36013314,0.337901,0.3135384,0.289394,0.2703006,0.26318705,0.271783,0.29356632,0.32119825,0.3470796,0.36663654,0.3777165,0.37856802,0.3670448,0.34353554,0.3133088,0.28584334,0.2693232,0.26691154,0.27627486,0.2936544,0.31571677,0.33977246,0.3616673,0.37608337,0.37823904,0.3666871,0.3446187,0.31917465,0.29901484,0.29133952,0.29958567,0.32262778,0.35511363,0.38910344,0.41600895,0.42915273,0.42564926,0.40747026,0.38073003,0.35337916,0.332402,0.32178268,0.32223806,0.331486,0.344856,0.35578907,0.35761175,0.34543478,0.3182672,0.27976087,0.23781835,0.20209825,0.18030588,0.17561145,0.18630314,0.20812301,0.23601055,0.26552206,0.2927219,0.31475353,0.32943437,0.33541504,0.33166942,0.3185568,0.29833403,0.27584305,0.25722,0.24852933,0.25402692,0.27485034,0.30794662,0.34609437,0.3809581,0.40746236,0.42660055,0.44266963,0.45778397,0.46830818,0.46738383,0.4500403,0.41702053,0.3740103,0.32962963,0.2923073,0.26758125,0.25523487,0.2504179,0.24827193,0.247613,0.24923676,0.25159353,0.2508511,0.2457683,0.2412858,0.24562411,0.26299694,0.28914866,0.31288165,0.32296157,0.3144002,0.2908471,0.2617386,0.23661615,0.22050352,0.21202691,0.20646423,0.2000456,0.19392204,0.1931482,0.20287585,0.22311012,0.24717025,0.26422045,0.2655555,0.24913138,0.22044931,0.18925679,0.16578038,0.15677865,0.16168587,0.17169924,0.17412664,0.16184115,0.13778846,0.11229672,0.09379206,0.08436366,0.08034926,0.077828586,0.07510052,0.07308214,0.07266438,0.07346597,0.07355621,0.07097694,0.064950235,0.056326773,0.047225013,0.040013257,0.036296833,0.036099046,0.03799948,0.040125366,0.041098077,0.040519495,0.03854687,0.035650488,0.032397777,0.029417126,0.02701723,0.024995118,0.023106514,0.021743067,0.021797633,0.023497337,0.025570245,0.026078323,0.0242732,0.021495558,0.020045638,0.021081297,0.023661338,0.02572344,0.02580429,0.024105998,0.021818645,0.020221524,0.01962929,0.01977724,0.020179743,0.021067845,0.023162305,0.027015135,0.032027055,0.036562536,0.039188176,0.03985846,0.040055428,0.04154602,0.0448813,0.04906253,0.05233578,0.054002166,0.054587934,0.05534582,0.05660187,0.057891186,0.058428902,0.05815654,0.057591457,0.05757107,0.058939423,0.06271881,0.06971382,0.0797221,0.090715624,0.099724166,0.10487542,0.106678374,0.10701851,0.106639385,0.10487973,0.1012649,0.09782644,0.09790295,0.10361355,0.11370108,0.1247919,0.13402633,0.1406542,0.14538743,0.14854334,0.14978784,0.14864077,0.1453879,0.14022577,0.13341285,0.12555045,0.118631475,0.11444902,0.11325579,0.11341554,0.11379477,0.11479115,0.11715454,0.11960111,0.11892227,0.112468176,0.10068455,0.08687842,0.07493737,0.066961266,0.06317753,0.063229516,0.0672381,0.07496134,0.08479602,0.09428778,0.102444656,0.11084563,0.12199663,0.13615437,0.15013482,0.15933834,0.16086112,0.15517354,0.14515597,0.13450582,0.12591065,0.120918155,0.12006379,0.12449533,0.1359043,0.15588553,0.18343152,0.21448188,0.24251592,0.26116994,0.26575887,0.25494418,0.23082213,0.1987508,0.16520636,0.13616209,0.1154753,0.10478684,0.10303899,0.10681749,0.11124817,0.11229775,0.1088481,0.10313586,0.09921166,0.10001045,0.106059976,0.11500455,0.123968594,0.13026029,0.13341402,0.13332601,0.13028969,0.12302801,0.111270696,0.0962631,0.081882976,0.07151631,0.066815875,0.06689045,0.0702912,0.07556384,0.0820146,0.08923011,0.09745425,0.10669401,0.116154075,0.12360748,0.12643169,0.12332327,0.1156741,0.107379936,0.10273395,0.103969015,0.10966962,0.11590653,0.11900267,0.11881742,0.118199885,0.119955905,0.12263956,0.12197659,0.11474364,0.10278677,0.09113696,0.08413493,0.082499266,0.08400115,0.08582393,0.08640183,0.08598742,0.0858321,0.086802274,0.088640146,0.09029544,0.09105986,0.09097734,0.090191156,0.08833953,0.08457782,0.07874497,0.071648315,0.06483764,0.059490357,0.055963483,0.053829163,0.05233478,0.051198658,0.051091973,0.053878188,0.06155555,0.07460672,0.09066695,0.10515562,0.114352845,0.11796266,0.11925507,0.12137971,0.12498359,0.12806754,0.12892388,0.12717097,0.12399431,0.121219836,0.120874025,0.1237218,0.12825908,0.131647,0.13166249,0.12802558,0.12156072,0.11412849,0.108257234,0.10623907,0.10775682,0.10955394,0.10840555,0.10433683,0.100674085,0.1004728,0.10360539,0.10722955,0.10888604,0.109182544,0.11139071,0.11844665,0.13011396,0.14269619,0.1521828,0.15697896,0.15899418,0.16109204,0.16521782,0.1711845,0.1777563,0.18332045,0.18636072,0.18618347,0.18340975,0.18005104,0.17762315,0.17598636,0.1738552,0.17034669,0.16555165,0.15959693,0.15257479,0.14561306,0.14083232,0.14013635,0.142784,0.14622267,0.14744513,0.146028,0.14385001,0.14416367,0.14815187,0.15458798,0.16104472,0.16706592,0.17469384,0.18643135,0.20296688,0.22155254,0.2371969,0.24434268,0.24034578,0.22710568,0.21003668,0.19446152,0.18272352,0.17459448,0.16875403,0.16420649,0.16031025,0.15727384,0.15602334,0.15735166,0.16076368,0.16437884,0.16596438,0.16474348,0.16175501,0.1598373,0.16039754,0.16319291,0.16542397,0.16580509,0.1640976,0.16241252,0.16202486,0.16420864,0.16838491,0.17385782,0.17880078,0.1828916,0.18616803,0.19004829,0.1948946,0.20081984,0.20693387,0.21253382,0.21729021,0.22261144,0.23039027,0.2411186,0.25115976,0.25499973,0.24913532,0.23503017,0.21832347,0.20455076,0.19797812,0.1997328,0.2097284,0.22504555,0.24118318,0.25265536,0.2560709,0.2519258,0.24358039,0.23503345,0.22819163,0.22347987,0.22075725,0.22027905,0.22234112,0.22637741,0.23177785,0.23724873,0.24214141,0.24509607,0.24585406,0.24461831,0.24264474,0.24077642,0.23911469,0.23797123,0.23747535,0.23778474,0.23758574,0.23648454,0.2346137,0.23287863,0.23023117,0.22576582,0.22052206,0.21826734,0.2217084,0.22888786,0.2343427,0.23305422,0.22472928,0.21330298,0.20427229,0.20136715,0.20438671,0.21023025,0.21451145,0.21530218,0.21303183,0.21024384,0.20907462,0.21082951,0.21523865,0.22068585,0.22561443,0.22934507,0.2326219,0.23493494,0.23525745,0.23238522,0.22842799,0.22622728,0.22779955,0.23056121,0.23049103,0.22474684,0.21551816,0.20716168,0.20339161,0.2039079,0.20672654,0.2092963,0.210773,0.21098094,0.21144344,0.2135126,0.21747752,0.22133388,0.22333378,0.22346753,0.22315384,0.22305016,0.22293667,0.22329237,0.22523946,0.2302951,0.2398944,0.25701794,0.28373995,0.31739807,0.34829056,0.3641498,0.35818827,0.33373865,0.3023075,0.27636158,0.26236215,0.2593048,0.26088032,0.26141208,0.25672606,0.24563031,0.22737093,0.20413227,0.18005036,0.16144688,0.1516993,0.15059642,0.15399139,0.15967584,0.16727437,0.17879795,0.19257344,0.20522702,0.2118358,0.21246998,0.2097554,0.2092991,0.21372478,0.22390576,0.23698895,0.24977158,0.25887743,0.26285326,0.261758,0.25823864,0.25661162,0.2619716,0.2748029,0.29011235,0.2980173,0.29222786,0.2737261,0.25161555,0.23681454,0.23696996,0.2543757,0.28626326,0.32672194,0.36695227,0.39819148,0.4130521,0.40878722,0.38752994,0.35835972,0.3341448,0.32726765,0.34134197,0.37024903,0.401674,0.4265976,0.44250736,0.45147315,0.45291403,0.44241306,0.41548967,0.3740399,0.3266193,0.2844059,0.2563696,0.24807526,0.26117802,0.29263067,0.3311151,0.35980073,0.36262283,0.3373436,0.29721797,0.26399413,0.25062105,0.25488898,0.26350722,0.26582924,0.25970015,0.2512592,0.24693708,0.2508652,0.26215822,0.27877125,0.29734567,0.31623122,0.3345271,0.35365403,0.37630835,0.40500104,0.43952402,0.47453466,0.50018126,0.5058268,0.48671687,0.44918498,0.40789226,0.37699556,0.36089948,0.35486397,0.35401204,0.36004826,0.3795346,0.41386315,0.45525575,0.48980615,0.506007,0.49956468,0.47337785,0.43573084,0.39658687,0.36472547,0.3440977,0.33291554,0.32534146,0.31550744,0.30230334,0.29072946,0.28963247,0.30560222,0.33881673,0.38168243,0.42361984,0.45531416,0.47401455,0.4812833,0.48150298,0.4765872,0.46757987,0.4556345,0.44654086,0.44874087,0.47060332,0.51177377,0.5620627,0.6018944,0.61600757,0.6004827,0.56757516,0.5328874,0.5068,0.48978755,0.48088434,0.48171797,0.49418393,0.51415163,0.53111,0.53634435,0.5287354,0.51691175,0.5126558,0.5270605,0.5632529,0.6140189,0.6597793,0.67695457,0.64952284,0.57865435,0.4824283,0.3855754,0.3095354,0.26368883,0.24711491,0.2513248,0.26896214,0.29377565,0.32175043,0.34755632,0.36822352,0.38186583,0.38854492,0.3883448,0.38480866,0.38309717,0.38718355,0.39514044,0.40327764,0.40849802,0.41210333,0.4157935,0.4233538,0.43646494,0.4551727,0.47367325,0.48491463,0.4838752,0.47264096,0.45755693,0.4449385,0.4363391,0.42997515,0.42344555,0.41644123,0.40866184,0.39924332,0.3863392,0.37083566,0.35579142,0.34701657,0.34715626,0.3557911,0.36505473,0.36699185,0.3549585,0.33128074,0.30187497,0.27389243,0.25069988,0.2337953,0.22448216,0.22283317,0.22654176,0.23092534,0.23318149,0.23430948,0.23753823,0.24404864,0.25151423,0.25677454,0.26004043,0.26518545,0.27669582,0.29585746,0.32156655,0.35167912,0.38388884,0.41247225,0.4307518,0.43336567,0.42356896,0.40843225,0.39684406,0.3905393,0.38754234,0.3828245,0.37487552,0.36545786,0.35940245,0.36028495,0.36816105,0.37930813,0.390214,0.39981475,0.40818027,0.41364956,0.4125382,0.40373048,0.38907495,0.3737322,0.36193535,0.35853818,0.3658365,0.38211963,0.39850727,0.40327725,0.39012513,0.36353335,0.33670175,0.31994498,0.3144724,0.31193003,0.30496195,0.29295525,0.28332838,0.2839984,0.29651532,0.3148596,0.32981646,0.33640638,0.33472964,0.3286935,0.32128513,0.31414402,0.306394,0.29766846,0.28908864,0.28607363,0.29391542,0.315055,0.34409678,0.37141493,0.38708058,0.38878712,0.38286242,0.38029608,0.38752317,0.40309525,0.42142162,0.43870077,0.4540532,0.46711978,0.47911987,0.49346432,0.51506203,0.54470986,0.5790196,0.61311907,0.64356065,0.6673767,0.6797452,0.67692715,0.65736824,0.6238791,0.5791437,0.52814,0.4762137,0.43075505,0.39447948,0.3673332,0.34854496,0.342064,0.35086906,0.37126675,0.3906803,0.39742675,0.38848165,0.3717217,0.35761967,0.35216603,0.35409042,0.359046,0.36463973,0.3711449,0.37959257,0.38824022,0.39474276,0.3962401,0.39222574,0.38204575,0.3679556,0.35358953,0.3446046,0.3430686,0.3463366,0.34792647,0.34303835,0.33188117,0.31840554,0.30715927,0.2997626,0.29552236,0.29216114,0.28854612,0.28486943,0.28248432,0.28193521,0.28305528,0.28552982,0.28958234,0.29503837,0.3005432,0.30353126,0.30099007,0.29068854,0.27229023,0.24784894,0.22074431,0.19439805,0.1717924,0.15548886,0.14728944,0.14682399,0.15213825,0.16088402,0.17257686,0.18723504,0.20388687,0.21921287,0.22987908,0.23458947,0.23464608,0.23184013,0.22729719,0.22174358,0.21750283,0.21752,0.22333275,0.23165905,0.23606624,0.23095857,0.2165671,0.19970392,0.1906393,0.19835503,0.22592078,0.2679642,0.31224966,0.34492576,0.3583413,0.35379696,0.34036598,0.32867357,0.32655144,0.33623147,0.35477677,0.37586102,0.39205563,0.39739266,0.39098772,0.3798516,0.37668142,0.38924226,0.40980136,0.41751552,0.39465913,0.34309268,0.28158906,0.23136951,0.20349841,0.20133598,0.22715683,0.28127554,0.3575184,0.44073573,0.5164809,0.575589,0.6167218,0.6395608,0.64513725,0.63619953,0.62041706,0.6099555,0.61556643,0.6405114,0.6743021,0.7022171,0.7132637,0.70827454,0.69112873,0.6675728,0.643719,0.6313744,0.63879186,0.6659898,0.7010002,0.7324777,0.7525365,0.76007646,0.7523342,0.7286072,0.69094616,0.6503737,0.6221033,0.62021935,0.64703417,0.6898806,0.7245229,0.731116,0.7064467,0.6664395,0.6305933,0.6087672,0.5978591,0.5928385,0.5941622,0.6056671,0.6265893,0.6484134,0.66065794,0.65782064,0.6412376,0.61483836,0.5807535,0.54194707,0.5051973,0.48251486,0.4822916,0.50550216,0.54420745,0.5888019,0.6299512,0.6610938,0.6790216,0.6849639,0.6816084,0.6689393,0.6444234,0.60887814,0.5704896,0.54234993,0.53333896,0.54196835,0.555776,0.55814534,0.53786296,0.49848115,0.46048012,0.4501386,0.47968125,0.5340503,0.5804177,0.5940044,0.57751584,0.555114,0.5481887,0.556102,0.55921054,0.53687936,0.48482588,0.41550326,0.34816936,0.29492107,0.25797614,0.23261972,0.21473426,0.20264918,0.19755365,0.20196138,0.21816093,0.24592336,0.28033516,0.3140515,0.34082773,0.35923615,0.37150314,0.38047472,0.3876058,0.39288712,0.39696702,0.40031305,0.40404916,0.40826085,0.412617,0.41419318,0.40989318,0.39924696,0.38756192,0.38213518,0.3877678,0.4035561,0.42445824,0.4423386,0.4490454,0.44223103,0.4302641,0.42938757,0.4511349,0.49188432,0.5328769,0.55183613,0.53677475,0.49163786,0.43300822,0.3793352,0.3434187,0.32833347,0.3299739,0.34121454,0.3580297,0.38229385,0.4180108,0.463027,0.504086,0.52331454,0.5103633,0.47124457,0.42478243,0.39286032,0.38859525,0.41055492,0.4421607,0.4622084,0.45896184,0.4389764,0.4183388,0.40681028,0.40051627,0.39149204,0.37889683,0.36864653,0.36360347,0.3592603,0.35080576,0.34089455,0.33884922,0.3498894,0.3685296,0.38121435,0.3781959,0.36100307,0.34085706,0.32936776,0.3304452,0.33855355,0.34262717,0.33400193,0.31271335,0.28877732,0.27553406,0.27984354,0.29703227,0.31288794,0.31447342,0.29741976,0.27140093,0.25076967,0.24655212,0.25560394,0.26619324,0.26690614,0.25838244,0.25272238,0.26298586,0.29304895,0.33451304,0.3753227,0.40599987,0.42288086,0.42583585,0.41732576,0.4019417,0.38433567,0.3683193,0.35612538,0.35030982,0.35315096,0.36436823,0.37975833,0.39172268,0.394689,0.38734603,0.37454745,0.36345065,0.36082733,0.3693191,0.3871682,0.41010895,0.4340535,0.4563657,0.4737451,0.48166203,0.47512117,0.4531621,0.42055383,0.38694844,0.36182818,0.349903,0.3496984,0.35584465,0.3631399,0.36848772,0.37022853,0.36752698,0.36036623,0.3506926,0.34181294,0.33698222,0.33862594,0.34625491,0.3575019,0.36795458,0.3757501,0.38127863,0.38742995,0.3959392,0.406643,0.41699716,0.42243752,0.4190631,0.4053941,0.38585317,0.36757937,0.3571634,0.35448822,0.3540615,0.34976485,0.3417243,0.33677185,0.34318182,0.36423644,0.39571318,0.4275523,0.4474748,0.4468012,0.42497876,0.39098108,0.3561801,0.32836142,0.3088864,0.297724,0.29467845,0.29829672,0.3033103,0.304855,0.30315956,0.3040444,0.31154707,0.3225609,0.32906535,0.32594454,0.31631637,0.30783334,0.30694893,0.31325248,0.32102188,0.32294083,0.3161089,0.30462897,0.2961367,0.29618046,0.30346033,0.3128116,0.31940594,0.32276037,0.3267505,0.33666742,0.35563537,0.37981927,0.4007462,0.4095006,0.4050283,0.39326802,0.38450864,0.38475803,0.39356878,0.40337327,0.4057673,0.39662254,0.3784937,0.35813558,0.34063318,0.32800007,0.31868714,0.31278074,0.3103716,0.31198382,0.31345388,0.31085524,0.3027252,0.2956966,0.29729986,0.31055033,0.32845333,0.34161434,0.34474692,0.34028697,0.33335134,0.32767415,0.32514206,0.32695815,0.33364296,0.3435628,0.35356173,0.36252937,0.3721945,0.38586566,0.4010851,0.4108145,0.40663442,0.38913617,0.36499962,0.34322318,0.32684278,0.31813058,0.31932732,0.33426213,0.35975996,0.38717866,0.4041914,0.40587756,0.3947942,0.38199225,0.37476763,0.37381366,0.36878788,0.35161975,0.3213412,0.28870964,0.2645894,0.25473368,0.25834227,0.27355826,0.30076754,0.33789062,0.37972,0.41570115,0.4394035,0.44895497,0.45062068,0.4509747,0.4570535,0.47259712,0.49883166,0.52986246,0.5533785,0.55789936,0.54331166,0.52364606,0.51381993,0.5146821,0.51021427,0.48330483,0.4322895,0.37195006,0.32097793,0.2891431,0.27686688,0.2805902,0.29660606,0.31985816,0.34254858,0.35865024,0.36806044,0.3793211,0.40204072,0.44172773,0.49244753,0.5397125,0.5635466,0.5509544,0.5039336,0.4411913,0.3871701,0.35925364,0.3612901,0.38457265,0.41273022,0.42974392,0.42872238,0.41676903,0.40942922,0.41893694,0.44612738,0.47965765,0.5040668,0.5068913,0.48559716,0.4475043,0.4063321,0.37628296,0.36580423,0.37531555,0.396811,0.42057765,0.44175318,0.46355382,0.4911776,0.522635,0.5463167,0.5491236,0.52850646,0.49597254,0.46866634,0.4570379,0.460511,0.4733602,0.49316445,0.5218766,0.56033844,0.6037201,0.642708,0.6683945,0.6744755,0.6593748,0.627147,0.58797866,0.5530201,0.52814025,0.51137143,0.49656653,0.4801065,0.46421686,0.45625398,0.463576,0.48969507,0.5316642,0.58190507,0.63107514,0.67252904,0.7030814,0.72226185,0.73028296,0.7282002,0.7183504,0.7046699,0.69259006,0.6872449,0.6900036,0.6951116,0.69189286,0.6712012,0.63232046,0.5828553,0.53407973,0.4936247,0.46313557,0.43989816,0.4219006,0.41007176,0.40638712,0.40970156,0.41441643,0.41329038,0.40306437,0.38672605,0.37234962,0.36697194,0.3732953,0.3877521,0.4042829,0.4159479,0.42044947,0.41989386,0.41997865,0.42149138,0.41894755,0.4071977,0.390951,0.38444924,0.39606404,0.4185734,0.43202016,0.42317858,0.39507398,0.36492535,0.34775877,0.34894848,0.36185372,0.37641728,0.3841941,0.38471293,0.38407195,0.3893946,0.40156987,0.4135529,0.41769925,0.41082203,0.39600775,0.37828338,0.36352512,0.35726583,0.36035052,0.36753544,0.36978388,0.3668295,0.36738524,0.3825394,0.4099047,0.43548712,0.4439925,0.43322074,0.41365418,0.39981034,0.39951825,0.40972307,0.42109692,0.42630658,0.42816547,0.43635795,0.4594885,0.4951408,0.53172904,0.55420166,0.5528628,0.52614135,0.4825875,0.43694487,0.40443096,0.3902364,0.38909912,0.39002705,0.38987967,0.3930584,0.4065703,0.42741394,0.44622102,0.45541847,0.45922986,0.46669614,0.47936317,0.48575822,0.47122142,0.43417263,0.38742495,0.34916893,0.32628986,0.315727,0.3099153,0.30927125,0.31917277,0.34524298,0.3841873,0.4244611,0.45051065,0.45056996,0.4228771,0.37704214,0.3306167,0.29903364,0.28933072,0.2972469,0.31402883,0.33046237,0.3430644,0.35124502,0.35867524,0.36692226,0.37842265,0.3919877,0.408177,0.4251221,0.44171706,0.45307314,0.4536711,0.4396212,0.413839,0.38720107,0.37184802,0.37575582,0.39542115,0.4220486,0.4457792,0.46578455,0.48677588,0.5135857,0.54239124,0.56212145,0.5637463,0.5492049,0.5317138,0.5250644,0.53177804,0.5407147,0.5352864,0.5075034,0.46372727,0.42042217,0.39168915,0.38187245,0.38713762,0.4020717,0.42213547,0.44190785,0.45457104,0.45690802,0.45117936,0.4436129,0.43751335,0.43360057,0.4307276,0.43028963,0.43442526,0.44459355,0.45783088,0.46775642,0.4686487,0.46022996,0.44763753,0.43725786,0.43362203,0.4378215,0.44665143,0.45104337,0.44129837,0.41472766,0.38153407,0.35674822,0.34962177,0.3563991,0.3680108,0.37818345,0.38804153,0.39991358,0.4133438,0.42444658,0.430068,0.42965305,0.4252365,0.4207343,0.4202596,0.42573866,0.43522736,0.4447401,0.45155215,0.45590767,0.46016577,0.46656308,0.47441724,0.4791629,0.4759725,0.46608302,0.45778403,0.4583843,0.4665958,0.4746282,0.47822717,0.47990003,0.48414174,0.4907033,0.49726495,0.5014551,0.5021126,0.49411702,0.47332308,0.44008073,0.405354,0.38304618,0.3828428,0.40289855,0.43234578,0.45926455,0.47618076,0.48264733,0.47961184,0.46909425,0.453005,0.43587825,0.4220351,0.41490135,0.41643023,0.42820868,0.44881603,0.47392413,0.4977871,0.51729816,0.52928346,0.5288458,0.5114766,0.4789813,0.44119546,0.4089769,0.3893595,0.3840672,0.3935082,0.41707435,0.452615,0.49490723,0.53629535,0.56587714,0.57479256,0.5590051,0.52507323,0.48194394,0.43805477,0.3952401,0.35550585,0.3199706,0.29171157,0.27106282,0.25914818,0.25531515,0.26090288,0.27514794,0.29725274,0.32093975,0.33778587,0.33896732,0.3240374,0.30042204,0.27936172,0.26701406,0.2630944,0.26422867,0.27022836,0.28354302,0.3053311,0.33018553,0.34935203,0.35685882,0.3540739,0.34626213,0.33632016,0.32342425,0.30640423,0.28817233,0.27405035,0.266724,0.26267725,0.25462407,0.23818807,0.21592231,0.1953619,0.1825145,0.17782642,0.17661752,0.17398353,0.16783033,0.16004764,0.153729,0.15134858,0.15353328,0.15980327,0.17008896,0.18495147,0.20540039,0.23103023,0.2609971,0.29518214,0.3335655,0.37202772,0.40087023,0.41040027,0.40003905,0.37920833,0.36139977,0.35434213,0.35973227,0.37381586,0.39265943,0.41199967,0.4307101,0.4489499,0.4664909,0.4791549,0.4798057,0.46369934,0.4324397,0.39608565,0.36718082,0.35496855,0.35857737,0.36970437,0.3782518,0.38010514,0.37857345,0.38002586,0.3893286,0.40484416,0.42210865,0.4328364,0.4313575,0.4137601,0.38524964,0.35509694,0.33294237,0.31982717,0.31169105,0.30566844,0.30489457,0.3142716,0.33395886,0.35677016,0.37299645,0.375236,0.3632753,0.343528,0.3273722,0.3238392,0.3328682,0.3449547,0.34959027,0.34533453,0.34039363,0.34367058,0.35696816,0.3734926,0.38581756,0.39011207,0.38875112,0.38574803,0.38492694,0.38839117,0.39708546,0.4101719,0.42317998,0.4280114,0.41670692,0.3881587,0.35112143,0.3181462,0.29506755,0.27703723,0.25566125,0.23036645,0.21055008,0.20853561,0.22772856,0.2590858,0.28699496,0.30258605,0.31078866,0.32330552,0.34498525,0.36797035,0.38141242,0.38279906,0.3782499,0.37498096,0.37353885,0.37120166,0.36336985,0.34880045,0.32688007,0.30165324,0.28014675,0.27405098,0.29137763,0.33149442,0.38019583,0.41883543,0.43359336,0.4255472,0.40626732,0.39038125,0.3846096,0.38737205,0.39350495,0.40104082,0.4103758,0.41831374,0.415435,0.39197293,0.34708753,0.29252404,0.24652772,0.22438611,0.23095576,0.25969967,0.2962166,0.32441118,0.3329208,0.31938303,0.29152033,0.2632368,0.24825871,0.25326407,0.27565432,0.30551592,0.33210027,0.34904328,0.35690737,0.360693,0.36552426,0.37254176,0.3776734,0.3738557,0.35588375,0.32427678,0.2858378,0.24999957,0.22465022,0.2130639,0.21358652,0.22144717,0.23182856,0.24256141,0.2543447,0.26944366,0.28953287,0.31392753,0.3379213,0.35369667,0.3546562,0.34112656,0.3208943,0.30379924,0.29438326,0.29132983,0.29184934,0.2966925,0.3075671,0.32199886,0.33220646,0.3320628,0.32528782,0.32298473,0.33374438,0.35388613,0.3722531,0.38064507,0.3811202,0.37991396,0.37911376,0.37480822,0.3638502,0.3481857,0.332466,0.31882754,0.30664966,0.29517698,0.28617528,0.28213573,0.28619245,0.30026445,0.3263852,0.3635775,0.4082062,0.45185673,0.4862523,0.50590014,0.51480776,0.5205665,0.52997166,0.5377329,0.5352624,0.5171371,0.4931368,0.4779993,0.48194364,0.5018666,0.5276878,0.5516744,0.5703469,0.5821788,0.5830943,0.57243323,0.5560794,0.54460645,0.5431785,0.547646,0.5488108,0.5411658,0.52323556,0.49740353,0.46758214,0.4420255,0.42968783,0.43591532,0.46109095,0.49994302,0.5440039,0.5779043,0.5871477,0.5659594,0.5273475,0.49567068,0.48952207,0.5094556,0.5413811,0.5753547,0.60901487,0.64018244,0.6532593,0.632714,0.5820177,0.53136176,0.5143817,0.5432778,0.60118943,0.65943205,0.69469213,0.6990462,0.67389303,0.627578,0.57058495,0.5186269,0.48597085,0.4791468,0.4905909,0.5038645,0.50496906,0.49022868,0.46787882,0.45216215,0.45750868,0.49116024,0.54856104,0.6138622,0.6677813,0.69840926,0.7056897,0.6969647,0.6785473,0.6531296,0.6231823,0.59564024,0.57905287,0.5790901,0.593574,0.61571103,0.63602084,0.6486089,0.6511175,0.64883876,0.6477997,0.65464544,0.66922456,0.6906375,0.713005,0.72878623,0.7259407,0.6973974,0.6470635,0.5916,0.55127597,0.53953266,0.5589979,0.6033013,0.66051215,0.71553165,0.7546126,0.77161807,0.7713163,0.7645053,0.75913143,0.7544039,0.7434322,0.72058845,0.6864571,0.6487658,0.61732346,0.6000299,0.5967757,0.60031563,0.5998614,0.59026295,0.5742782,0.55872536,0.5459189,0.53190416,0.51053834,0.48027512,0.44491872,0.4110045,0.38338408,0.36478516,0.3568366,0.36113277,0.37786794,0.40441012,0.43770692,0.4766209,0.5211287,0.5648723,0.59414595,0.5946825,0.5638856,0.5127023,0.45902863,0.41726193,0.39346647,0.38329864,0.37661955,0.36331367,0.34299675,0.32373822,0.31681824,0.32488585,0.34126794,0.354336,0.35764924,0.35145426,0.3397452,0.32415584,0.30550346,0.28554627,0.26918042,0.26002634,0.25936854,0.26502827,0.27324024,0.27950886,0.28148565,0.28203762,0.28655338,0.29847726,0.31434894,0.32911357,0.3387052,0.3429123,0.34058514,0.3313266,0.31626603,0.2998614,0.28616807,0.27574983,0.2653089,0.2505665,0.22977634,0.20568556,0.18450992,0.17379242,0.17877825,0.20019011,0.23347075,0.27210373,0.31317857,0.35986006,0.4168097,0.484979,0.55939585,0.63395745,0.69917876,0.7414462,0.74517494,0.7066147,0.6418586,0.5788917,0.5396418,0.526622,0.5284133,0.53117734,0.53023106,0.52732635,0.5269144,0.5294008,0.53466696,0.5407527,0.5459885,0.5467057,0.54276186,0.5384349,0.5404773,0.55048984,0.56421065,0.5746158,0.57842565,0.57588553,0.5717736,0.57053626,0.57508284,0.581347,0.5823454,0.57182956,0.55195326,0.53212565,0.5253176,0.53865117,0.5687914,0.6029039,0.6287063,0.6420389,0.64652103,0.6448481,0.6341867,0.61087424,0.5783689,0.54818624,0.53178906,0.5322047,0.5444791,0.56081414,0.576971,0.58957577,0.59717035,0.5995969,0.60261446,0.61215645,0.6285703,0.6440673,0.6506017,0.6488231,0.64672494,0.6522479,0.6657684,0.6840288,0.7049446,0.72852844,0.7496396,0.75402623,0.7260068,0.6615034,0.5776978,0.5058231,0.4763449,0.50021684,0.56180996,0.6251683,0.6555695,0.6411876,0.6002129,0.56534415,0.55967623,0.580908,0.6089542,0.6243679,0.6260512,0.6280783,0.6465671,0.6828224,0.72347546,0.7481944,0.7441233,0.70958406,0.65600497,0.59929174,0.5544832,0.5264861,0.5141818,0.5132262,0.5214508,0.53335214,0.5408376,0.5362286,0.5203494,0.5011926,0.48946938,0.49123156,0.50557023,0.52472204,0.53842384,0.5410101,0.533711,0.5233399,0.51595926,0.5159059,0.52515143,0.5412345,0.5569651,0.5625599,0.55646825,0.5456988,0.54283136,0.5523971,0.56885725,0.5792908,0.5753606,0.55951065,0.54311085,0.5388679,0.55091196,0.57487726,0.59828025,0.6112376,0.60835785,0.59428,0.57555836,0.55993265,0.55108076,0.5513182,0.558531,0.5678033,0.574147,0.5763671,0.575403,0.56988114,0.55688816,0.53765017,0.5204465,0.5141266,0.51995414,0.53037935,0.5378583,0.541183,0.54484797,0.5517271,0.5609062,0.5713251,0.58482534,0.604852,0.6297169,0.6526792,0.66377944,0.657537,0.63395876,0.5995291,0.5625558,0.53162605,0.51177114,0.50491625,0.509644,0.52505374,0.55086505,0.5856828,0.6221543,0.64800924,0.6515538,0.63049036,0.5920059,0.549828,0.5154055,0.49667445,0.4941634,0.50290966,0.51262665,0.5149693,0.5077689,0.4961541,0.48741603,0.48697177,0.49659324,0.5145238,0.535142,0.5507955,0.5554125,0.5489231,0.5375552,0.52997214,0.5320994,0.5416262,0.5517283,0.5534112,0.54605675,0.53238064,0.5200618,0.51115984,0.5067663,0.5035561,0.50185704,0.50363326,0.51313287,0.52762866,0.537586,0.5318977,0.50910884,0.4788855,0.45409563,0.44309855,0.44532585,0.45597813,0.46717533,0.4744774,0.47502932,0.4706652,0.46045694,0.44574723,0.42644238,0.4109223,0.40697166,0.42393705,0.45852044,0.5000963,0.5279327,0.5285848,0.5004286,0.46070638,0.4299132,0.4213358,0.43177664,0.44964018,0.46281198,0.46554628,0.45914662,0.45066774,0.44762823,0.45300338,0.4604199,0.4617863,0.4513261,0.43570697,0.42345822,0.4238182,0.43339548,0.44680622,0.45442614,0.45407775,0.44346046,0.4264562,0.40616453,0.388023,0.37145373,0.35382095,0.33148828,0.3065492,0.28367916,0.26649904,0.25431514,0.24472046,0.23772675,0.23526902,0.23833591,0.24279337,0.24238633,0.23264168,0.2152437,0.19550937,0.17859657,0.16659494,0.15922034,0.15621789,0.15747125,0.16242684,0.16845036,0.17211449,0.17068817,0.16412367,0.15426587,0.14374076,0.13417687,0.12655437,0.12169302,0.121421784,0.12819578,0.1437047,0.16777013,0.19841987,0.23392272,0.27258965,0.3121843,0.3493499,0.3818324,0.41046056,0.43673158,0.46114767,0.48105714,0.4956409,0.504661,0.5097936,0.5100648,0.5059484,0.49937007,0.4953498,0.49721113,0.5050292,0.5164113,0.52911943,0.5421028,0.5545115,0.56651443,0.580368,0.5982242,0.6178155,0.631082,0.6312048,0.61863494,0.60028404,0.58090025,0.5595422,0.5340347,0.5082418,0.4918513,0.49270248,0.509889,0.5342269,0.55515385,0.5670669,0.57018715,0.56793284,0.5625465,0.5556402,0.5482572,0.54388237,0.5438891,0.54718804,0.5497653,0.5525055,0.56036586,0.5757098,0.589132,0.5836577,0.5498406,0.49654362,0.44631425,0.41798392,0.41468212,0.42512807,0.43550423,0.4392109,0.43755674,0.4359237,0.4384539,0.44739315,0.46145356,0.4769069,0.48903382,0.49537385,0.49821353,0.5014631,0.50704896,0.5101852,0.50409454,0.4851943,0.45811686,0.43061522,0.4083866,0.39225352,0.38234416,0.38037252,0.389215,0.40949082,0.43843672,0.46977425,0.49515876,0.50638646,0.5000304,0.47971225,0.4547117,0.43325782,0.41844988,0.40791464,0.39845172,0.38921916,0.3818419,0.3776987,0.37673417,0.37833014,0.38405347,0.39592895,0.41465738,0.43599758,0.4527696,0.45875406,0.45206693,0.43770227,0.42076674,0.40625858,0.39376333,0.38615525,0.38551024,0.3959776,0.41471598,0.43859318,0.46271852,0.48774314,0.5108573,0.5285873,0.5324003,0.5202577,0.4947369,0.46695375,0.44580185,0.43650106,0.4356673,0.438264,0.44168055,0.4484266,0.4616293,0.48062077,0.5024007,0.5249758,0.54765016,0.5662864,0.5717252,0.5560966,0.5216782,0.4823295,0.45604444,0.4517213,0.4654509,0.48148394,0.48775163,0.48071995,0.47145832,0.4689224,0.4777881,0.48968276,0.49977413,0.5030784,0.50291973,0.49780297,0.48965558,0.47697815,0.46289268,0.44733623,0.43270195,0.4202384,0.4158688,0.423655,0.44608307,0.4778025,0.51232976,0.5400793,0.5543013,0.5478902,0.5232615,0.49065802,0.46700883,0.45948508,0.4626048,0.46131328,0.4477557,0.42508867,0.40484264,0.39313114,0.38971087,0.38873315,0.39064908,0.39814162,0.41782036,0.44622138,0.47718856,0.4971727,0.5014561,0.48745584,0.4619913,0.43076268,0.4047172,0.39358723,0.40463114,0.4325644,0.4620168,0.47599927,0.4699509,0.4527504,0.439711,0.43828246,0.44598654,0.4522625,0.4504168,0.43890488,0.42433214,0.41298023,0.41117644,0.41855416,0.43155286,0.44206086,0.4449803,0.43880498,0.42634687,0.409834,0.39078522,0.37032628,0.3508512,0.3337381,0.31914505,0.3059162,0.29377112,0.2826143,0.27229762,0.26221743,0.25263137,0.24480236,0.2398548,0.23734288,0.23553826,0.23318,0.23018993,0.22685789,0.22310412,0.21874027,0.21413602,0.20890415,0.20200308,0.19185387,0.17986916,0.16954319,0.16665596,0.17431031,0.19334845,0.22051518,0.2530658,0.28949058,0.3311555,0.37810206,0.4265809,0.46968007,0.50250655,0.5266444,0.54749554,0.56794924,0.5828362,0.58494,0.5721794,0.55451435,0.5434127,0.5452676,0.5531097,0.5577902,0.5522899,0.5399814,0.5286673,0.5265609,0.5346423,0.5464707,0.55467516,0.55728513,0.5574329,0.555023,0.5431455,0.5149711,0.47237864,0.4267287,0.38983992,0.36711797,0.3590742,0.36478567,0.38329294,0.4087844,0.43152428,0.44224355,0.440503,0.43389848,0.43262577,0.44084474,0.45669734,0.4745525,0.48918656,0.49632248,0.49322996,0.4807904,0.46174538,0.4421202,0.42572293,0.41736302,0.41584143,0.41855288,0.41819832,0.41285813,0.40403128,0.39865673,0.40072036,0.41238344,0.4306604,0.45159206,0.46860468,0.47940326,0.48530975,0.49049115,0.49511912,0.49504483,0.48702744,0.47208014,0.45635274,0.44551584,0.44403437,0.45246628,0.4692016,0.48766056,0.5005691,0.50107676,0.49132302,0.4773065,0.46867275,0.4690402,0.4818906,0.50569946,0.5354709,0.55723387,0.5596537,0.5421577,0.518074,0.50007033,0.49071965,0.48234785,0.4709028,0.4596835,0.4579151,0.46721935,0.48328462,0.49649945,0.50324696,0.50193095,0.49481657,0.48304054,0.47133294,0.46506643,0.47080886,0.49079108,0.52212816,0.55410224,0.5735734,0.57253313,0.5562431,0.5402942,0.53830713,0.54962254,0.5599517,0.55583143,0.53889203,0.523655,0.52146596,0.52614856,0.5210359,0.49587035,0.46113017,0.4381156,0.4444774,0.47879568,0.52746433,0.57215434,0.6032276,0.6177866,0.61818695,0.60549396,0.58061534,0.5466662,0.5112172,0.4843947,0.4751607,0.48746452,0.51937073,0.56099373,0.5997487,0.62444156,0.6334716,0.63044983,0.62038416,0.60339963,0.57894295,0.54834795,0.51554525,0.48322558,0.45276752,0.42655727,0.41000223,0.40621343,0.41293994,0.42239413,0.429474,0.43381557,0.43803987,0.44281182,0.44695708,0.45137215,0.45813987,0.46938005,0.48153803,0.48932827,0.48642358,0.47314337,0.45343864,0.434539,0.41775167,0.40155688,0.3825012,0.36433926,0.35163248,0.34776545,0.34707698,0.34252226,0.3287325,0.3075848,0.28380084,0.26205787,0.24418838,0.22997539,0.21828736,0.20820427,0.19929071,0.19151092,0.1845658,0.1776122,0.16996796,0.16141392,0.15260708,0.14418684,0.13680293,0.13075507,0.12593777,0.121631525,0.117014475,0.11294613,0.11394999,0.12803054,0.16280758,0.21929641,0.29010203,0.36232683,0.42619944,0.4775144,0.5189769,0.5534768,0.58400625,0.6096334,0.6297143,0.6434636,0.6544311,0.66766316,0.6861064,0.70521,0.7138803,0.70197797,0.6671951,0.6181845,0.56987506,0.53707814,0.5262957,0.5325091,0.5429432,0.5481315,0.54835314,0.55037326,0.55469066,0.5534745,0.53657776,0.5064577,0.47699025,0.46559772,0.47794628,0.5054398,0.53192055,0.5464714,0.54981524,0.5487685,0.54667956,0.53959185,0.52368253,0.50204355,0.4835464,0.47319555,0.4676114,0.45873344,0.44208142,0.4208566,0.40194854,0.39275566,0.39699593,0.41709983,0.44913027,0.48232055,0.49919745,0.48873743,0.45602617,0.4210765,0.4041021,0.4099035,0.42868325,0.4457293,0.45580092,0.46040884,0.4660047,0.4736507,0.485777,0.49904704,0.5110418,0.5136509,0.5045149,0.48580715,0.46574083,0.45249042,0.44869033,0.45328942,0.45955333,0.46397936,0.46616104,0.47248158,0.48806104,0.5116741,0.5348208,0.54510236,0.53712523,0.5133676,0.48930624,0.48147634,0.5026357,0.54841554,0.60086584,0.6347787,0.63239485,0.59240174,0.5289879,0.4656123,0.42125568,0.40562257,0.41448054,0.43831113,0.46620598,0.49295664,0.51685804,0.5399088,0.5643273,0.59045106,0.61369973,0.62654334,0.6232831,0.6044437,0.57444924,0.53928655,0.50484955,0.47938493,0.46894062,0.47164163,0.47558412,0.46812388,0.44802514,0.4268777,0.41926363,0.42950892,0.44945598,0.46671292,0.47475636,0.4765968,0.48048493,0.49428424,0.5241174,0.5722334,0.63774914,0.7123762,0.78579336,0.84705335,0.89025146,0.9108086,0.90497303,0.86771584,0.7966564,0.6971433,0.5865574,0.489951,0.42729577,0.40170276,0.4005088,0.407361,0.4146485,0.4225763,0.43346408,0.4459596,0.46021852,0.47791734,0.50141126,0.52685815,0.5483076,0.5607324,0.56438595,0.5602658,0.5501546,0.53550535,0.5201238,0.5070613,0.4997833,0.49964,0.50844187,0.52515393,0.54966927,0.57935566,0.60920215,0.6265795,0.61887056,0.58190554,0.52742285,0.4752212,0.44178763,0.43182656,0.44002727,0.45533565,0.46724322,0.4700999,0.46816406,0.4720339,0.49091586,0.52178675,0.5512299,0.5643793,0.5573194,0.5371427,0.5150717,0.49642587,0.47994003,0.46152666,0.4419053,0.4275024,0.42920622,0.4540523,0.5007184,0.5556581,0.6001707,0.61713606,0.60002726,0.55265504,0.48886004,0.426818,0.3851588,0.3743558,0.39220163,0.42340443,0.4499817,0.46180394,0.46171224,0.45817244,0.45712438,0.45856008,0.46256825,0.4721675,0.49053797,0.5126564,0.524647,0.51314765,0.4772185,0.4306999,0.39080074,0.36644647,0.3558208,0.3548533,0.3644782,0.38825583,0.4255135,0.46718955,0.501489,0.5199361,0.5194946,0.5006234,0.46692157,0.4280865,0.39627218,0.3804368,0.3791323,0.38677213,0.39926803,0.4193617,0.44872376,0.48333153,0.51115227,0.51970506,0.50257117,0.4635768,0.4152582,0.3727318,0.3471564,0.34101093,0.35153994,0.37594926,0.4150083,0.46694818,0.5214447,0.5586276,0.5602378,0.52113134,0.4547367,0.3858875,0.33867112,0.32453683,0.33860913,0.36308372,0.37878644,0.37527204,0.35573006,0.33172956,0.31357965,0.30629432,0.30925155,0.32270172,0.3453246,0.3754815,0.4068773,0.43410587,0.45203105,0.45935157,0.45608768,0.4464183,0.43724605,0.43704864,0.4494718,0.47101268,0.4923226,0.5065457,0.51293796,0.5170211,0.5223822,0.5303409,0.53804374,0.54410297,0.545171,0.54096615,0.5323743,0.5238232,0.51588917,0.506381,0.4935403,0.48265222,0.48266602,0.4968747,0.51759547,0.53072256,0.5286863,0.5153126,0.5017744,0.49415457,0.49174547,0.49134207,0.4952636,0.5069943,0.52552557,0.5424015,0.54912806,0.54321235,0.5276125,0.5059785,0.47964135,0.45067167,0.4231764,0.4025813,0.39215437,0.39242205,0.40119782,0.41444063,0.42653084,0.43292224,0.43160558,0.42395544,0.4124379,0.39993498,0.38895944,0.3823742,0.3816519,0.38724312,0.39737988,0.41084716,0.42407557,0.43277618,0.43019426,0.41507068,0.39398327,0.38399684,0.40097627,0.4489359,0.51078147,0.55885196,0.5714944,0.5501802,0.51543766,0.49179873,0.4889635,0.49812865,0.5011551,0.4849753,0.45022762,0.4083031,0.37409282,0.35727587,0.36025342,0.37809289,0.4026681,0.42600772,0.44434384,0.45736328,0.4665184,0.47007814,0.46515465,0.44913426,0.4256558,0.40127614,0.38273308,0.37080273,0.36330092,0.358861,0.3608611,0.37290275,0.3936187,0.4147526,0.42701435,0.426378,0.41531253,0.4006783,0.38894796,0.38693175,0.39793262,0.4224961,0.45323238,0.47967482,0.49078098,0.4834703,0.46178284,0.43491125,0.4115039,0.39807865,0.39863363,0.41253805,0.43335214,0.44899032,0.44921282,0.43158913,0.40453064,0.38099194,0.37128627,0.37727627,0.39408925,0.4130101,0.42689598,0.4309075,0.42485723,0.41006294,0.39011976,0.36806872,0.3486844,0.33552948,0.3309518,0.3334017,0.33999658,0.34725568,0.35377088,0.3587904,0.36349154,0.3680536,0.37302724,0.375652,0.37295106,0.36095348,0.33991742,0.31311372,0.28717458,0.26763698,0.25800106,0.25766036,0.26407686,0.27307665,0.28197995,0.2877696,0.28828534,0.28167835,0.26972166,0.25714412,0.24846984,0.24447791,0.24163759,0.23616584,0.22635774,0.21332859,0.19896926,0.1848936,0.17220001,0.16162892,0.15357977,0.14780873,0.14313857,0.13772373,0.12991744,0.119525164,0.10821637,0.09823528,0.09105671,0.08641582,0.083440416,0.08136565,0.08018992,0.07989629,0.08000884,0.07938671,0.07697106,0.072492346,0.06696218,0.06209096,0.059300613,0.058711592,0.059207607,0.059462618,0.05871142,0.056951385,0.054227736,0.050688397,0.046655238,0.042825926,0.039913546,0.03821187,0.037689608,0.037752863,0.037716255,0.036671788,0.034445208,0.031462118,0.02896032,0.028029958,0.02907821,0.03137201,0.033466298,0.03430191,0.033738572,0.03239358,0.030762365,0.029061982,0.027340263,0.025583612,0.02349568,0.020832941,0.017767493,0.015083141,0.01338241,0.012775793,0.012783281,0.012977277,0.013159256,0.0134009095,0.013815578,0.014200739,0.014258866,0.013598292,0.012466042,0.011266303,0.0106112035,0.010467019,0.010621801,0.010702665,0.010762232,0.010950933,0.011325917,0.011677273,0.011747398,0.011584241,0.011378675,0.011325593,0.011333074]