[0.07022555,0.07698169,0.08991758,0.10138869,0.1061906,0.1035262,0.097666055,0.09365132,0.09528169,0.10317886,0.115963936,0.13076702,0.1438712,0.15156405,0.15224448,0.14971077,0.15086837,0.16163845,0.17923473,0.19563997,0.20155345,0.19558342,0.18187958,0.16853516,0.16113895,0.1627146,0.17276473,0.18915771,0.20827942,0.22631733,0.2399074,0.24730563,0.24775212,0.2411639,0.22773306,0.21076769,0.19736217,0.19653825,0.21152712,0.23609166,0.25700077,0.2642703,0.25699946,0.24245752,0.22841038,0.21874636,0.21300656,0.20977825,0.20853104,0.21016447,0.21574737,0.22504018,0.23543417,0.24216066,0.24058658,0.22886078,0.20967114,0.18889932,0.17242171,0.16301928,0.15954411,0.15910141,0.15976846,0.16177063,0.16603309,0.17170553,0.17627217,0.17661308,0.17153879,0.16122401,0.1472397,0.13138373,0.11626681,0.10445589,0.09746308,0.09433553,0.092502534,0.089968406,0.08736972,0.086808674,0.08948827,0.09382644,0.09690973,0.09704259,0.09576285,0.09741062,0.10585326,0.12114111,0.13832296,0.15057579,0.15348887,0.14648157,0.13221706,0.11394017,0.0956823,0.08050072,0.070806265,0.06685832,0.0679807,0.07248839,0.07862842,0.08464369,0.08937093,0.092031695,0.09193606,0.088684134,0.08366934,0.08177934,0.08989292,0.11319965,0.1504894,0.19540878,0.2389056,0.27396145,0.29557255,0.30285442,0.29848197,0.288622,0.27899948,0.27249196,0.26855314,0.26521194,0.26099256,0.25559622,0.24930646,0.24257575,0.23561026,0.22885089,0.2223928,0.21638262,0.21092264,0.20660031,0.20363395,0.2014777,0.19924988,0.1969955,0.19614513,0.19791354,0.2017383,0.20482677,0.20458148,0.2004779,0.1946433,0.18947218,0.1858279,0.18216829,0.17583573,0.16467738,0.1482828,0.12840597,0.10791218,0.090172864,0.07767165,0.07148301,0.07033279,0.07135299,0.071429916,0.06912566,0.0653744,0.06400093,0.06975443,0.086835735,0.1150723,0.15028219,0.18378584,0.2062722,0.20938326,0.1901406,0.15226251,0.10631863,0.06442599,0.034863926,0.018821916,0.012767941,0.012229457,0.014209561,0.017518675,0.022890912,0.034062833,0.05577396,0.08979807,0.13035804,0.16650504,0.18862611,0.19553308,0.19459228,0.1965426,0.20780672,0.22675031,0.24521689,0.25532576,0.25461528,0.2468874,0.23770034,0.23066871,0.2263424,0.22378911,0.22210242,0.22073258,0.21940379,0.21756746,0.21466488,0.21015836,0.20420873,0.19772361,0.19217618,0.18851666,0.18589409,0.18154581,0.17181754,0.15449236,0.12988204,0.101085864,0.07250715,0.048238322,0.03055136,0.019449592,0.013391999,0.010335198,0.0091323005,0.010016183,0.014679295,0.023870775,0.035637077,0.04464068,0.046186317,0.039388735,0.028224573,0.017696494,0.010750863,0.0072756098,0.006139981,0.007492797,0.013972863,0.029730937,0.056781977,0.09197613,0.12681091,0.15245195,0.16383797,0.16128218,0.14742275,0.12551793,0.098820336,0.07139752,0.047354683,0.02951294,0.018448975,0.012811313,0.010406207,0.009365454,0.009332646,0.012486373,0.024257159,0.05103175,0.09546397,0.14998163,0.1980883,0.22217886,0.21706754,0.19244887,0.16629553,0.15084714,0.14795093,0.1519552,0.15740573,0.16219367,0.16675521,0.1718869,0.17754923,0.18294626,0.18694241,0.18863308,0.18774235,0.1842622,0.17774276,0.16715078,0.15257044,0.13742091,0.12843545,0.13117044,0.14549105,0.16454835,0.18055497,0.18943082,0.19244431,0.19250824,0.19171377,0.19092405,0.19056608,0.19140124,0.1936441,0.19757105,0.2032395,0.21087325,0.21994333,0.22938864,0.237729,0.24372475,0.24599236,0.24482912,0.24266458,0.24455905,0.2538818,0.2704309,0.28975496,0.3072195,0.32022336,0.3289733,0.334432,0.33627942,0.33240607,0.31964788,0.2965844,0.2641954,0.22610892,0.18583454,0.14637733,0.10976637,0.07873896,0.05640687,0.045715723,0.047588855,0.060110908,0.07997331,0.105168946,0.137024,0.17609853,0.21783482,0.2512186,0.2669891,0.26457834,0.2535894,0.24569601,0.24768293,0.2581987,0.27152452,0.2815546,0.28593323,0.28557548,0.28349838,0.28162536,0.2804418,0.27873793,0.2754251,0.26995707,0.2630203,0.25582454,0.2492482,0.2434641,0.23713146,0.22935842,0.2193597,0.20880719,0.19864959,0.18986607,0.18117829,0.17232995,0.1636969,0.1564844,0.15061568,0.14494555,0.14015041,0.13985132,0.14898722,0.16806515,0.19178386,0.21214883,0.22481126,0.23034571,0.23181587,0.23050551,0.22596462,0.21687447,0.20363517,0.18801202,0.17228574,0.15632337,0.13732219,0.11275113,0.085067146,0.06260339,0.05487421,0.06614549,0.09290171,0.1273001,0.16178809,0.19055448,0.2076086,0.20696346,0.18725811,0.15488152,0.12179574,0.09730941,0.084388874,0.08063053,0.084521234,0.0968016,0.11927692,0.14986934,0.18259268,0.2092666,0.22384013,0.22315837,0.20717247,0.17951071,0.14878385,0.12814578,0.12899251,0.15390714,0.1933697,0.2318412,0.25795427,0.26913393,0.27022994,0.26569873,0.2591344,0.25145185,0.24511005,0.2410047,0.24006832,0.24157779,0.24521132,0.25108674,0.25849843,0.2664882,0.2726183,0.27620077,0.2764947,0.273907,0.26800355,0.25973687,0.2518334,0.2485811,0.25362444,0.26681754,0.28473642,0.30175662,0.31478977,0.32292023,0.32703623,0.32624868,0.31948093,0.3064637,0.28906262,0.26881555,0.24692355,0.22511692,0.20743348,0.19719486,0.19406734,0.19339223,0.19021696,0.18325828,0.1751309,0.17035861,0.17133726,0.17705806,0.18306787,0.18561734,0.18511729,0.18602102,0.19187124,0.19985372,0.20222491,0.19238418,0.17100114,0.14433624,0.118802555,0.097103156,0.08003389,0.06963282,0.06975555,0.0834376,0.11118088,0.14881665,0.18841435,0.21865398,0.23097204,0.22241914,0.19838208,0.1695928,0.14920686,0.1472023,0.1643585,0.19149333,0.21517873,0.2277869,0.23023778,0.22838467,0.22660466,0.22647159,0.22831772,0.23232104,0.2375028,0.240961,0.24001805,0.23430134,0.22622572,0.21819864,0.21117862,0.20503414,0.19969118,0.19502832,0.18936844,0.18012159,0.16497347,0.14391027,0.11871716,0.092378944,0.06788201,0.047947202,0.034230214,0.026962815,0.02477781,0.025658792,0.028117048,0.032152653,0.038641177,0.04732746,0.055250347,0.05778523,0.052231323,0.04023403,0.02671195,0.016105728,0.0099355625,0.00717275,0.006877029,0.01032807,0.02179035,0.045412507,0.0814873,0.123391174,0.16104537,0.18570645,0.19403835,0.18667154,0.16621597,0.13637982,0.10241457,0.07041226,0.044915844,0.02748648,0.016891915,0.010930449,0.007654384,0.006005999,0.005890626,0.008916511,0.01855903,0.03928907,0.07264473,0.11449907,0.15489905,0.18445474,0.1995067,0.20422758,0.20517956,0.20681341,0.20921694,0.21088691,0.21084596,0.20939992,0.20717394,0.20443799,0.20154734,0.19909166,0.19810116,0.19892053,0.20095026,0.20194863,0.1990645,0.18960528,0.17349581,0.15447251,0.13976432,0.13584019,0.14384675,0.15849513,0.17214508,0.18002808,0.18195458,0.18033563,0.17888169,0.1830932,0.20094754,0.23720026,0.28716388,0.33359885,0.35737672,0.34915042,0.3165197,0.275647,0.24157995,0.22192168,0.21933824,0.23178689,0.25238147,0.26928794,0.27360466,0.26477388,0.25136587,0.242315,0.24082838,0.24242258,0.24019642,0.23012339,0.21514519,0.20288026,0.2002091,0.20733905,0.21867539,0.22819008,0.23409016,0.23825423,0.24207956,0.24474396,0.24337788,0.23492403,0.21662943,0.18823056,0.15315047,0.11866502,0.09158071,0.07524016,0.06793999,0.066255935,0.06804649,0.07560339,0.09507093,0.13239288,0.18711829,0.24937844,0.3047439,0.34266576,0.3618146,0.3673273,0.36491922,0.35817364,0.3489678,0.33927932,0.32952628,0.31961194,0.30905733,0.29982445,0.29369745,0.29180112,0.29302618,0.296003,0.2986987,0.2987306,0.29473218,0.28730282,0.27857482,0.26801965,0.2535132,0.23368506,0.21346404,0.19991612,0.19792314,0.20405154,0.21100192,0.21101086,0.20080774,0.1808361,0.15586229,0.13280967,0.117870666,0.11419806,0.12305042,0.14700776,0.18779975,0.24150217,0.2949991,0.33198324,0.34308323,0.3319833,0.31282505,0.29935226,0.2979484,0.30544296,0.31493935,0.3194872,0.31308678,0.29096374,0.25167736,0.20232625,0.15711474,0.13124633,0.13086899,0.15040602,0.1769443,0.19832957,0.20784569,0.2040657,0.18950368,0.16947876,0.15132211,0.1410753,0.14052677,0.14637285,0.15404427,0.16240531,0.17573786,0.20050417,0.23931761,0.28753224,0.33495948,0.37225714,0.39584175,0.40884924,0.41671243,0.4230732,0.4279813,0.43001544,0.42796266,0.42164275,0.4114293,0.39836416,0.3840128,0.36997688,0.3574858,0.34744987,0.3408482,0.3384861,0.34008467,0.34377483,0.34657213,0.34658548,0.34430608,0.342007,0.34116492,0.3404148,0.3359375,0.32317284,0.2997106,0.2669992,0.23063211,0.19781978,0.17394991,0.160819,0.1571636,0.16127579,0.17165227,0.18709683,0.20465331,0.22079462,0.232723,0.24123216,0.24967217,0.2618582,0.27878606,0.2981113,0.31499732,0.3254956,0.3277306,0.32313427,0.31325677,0.30030382,0.28580365,0.27306315,0.2647033,0.26202333,0.2634876,0.26642242,0.2684618,0.2678094,0.26302326,0.25230542,0.2346356,0.21105869,0.18590683,0.16523325,0.15312071,0.14898326,0.14872004,0.14982688,0.15410727,0.1663617,0.18820488,0.2157924,0.2409554,0.25767508,0.26446512,0.26478946,0.26256657,0.26064786,0.25930324,0.25837076,0.25795785,0.26005018,0.26710317,0.28015682,0.29656458,0.31107387,0.31909934,0.31961587,0.31498316,0.30831003,0.3014854,0.29446837,0.28649545,0.27732563,0.26849902,0.2627973,0.26175287,0.26424477,0.26609385,0.2632397,0.25214207,0.2314762,0.2013229,0.16582638,0.132699,0.11122752,0.10599494,0.11489656,0.13197452,0.15448721,0.18268873,0.21569578,0.24589343,0.2637895,0.26354495,0.2481633,0.22611439,0.20780163,0.19957858,0.20119761,0.20569865,0.20536198,0.19660151,0.18264347,0.17027591,0.16731793,0.17690633,0.19530381,0.21048874,0.21063308,0.19074892,0.15753113,0.12239444,0.09543809,0.08064461,0.07891396,0.09055513,0.116291456,0.15520746,0.20276876,0.25132677,0.2923635,0.3203853,0.33487484,0.33985853,0.34001425,0.3376572,0.33147073,0.3195689,0.3019091,0.28224674,0.26559624,0.255514,0.2517167,0.25118348,0.25073355,0.24905263,0.24639982,0.24307741,0.2383333,0.2317509,0.22465605,0.2205649,0.22273833,0.23165287,0.24480982,0.2582581,0.2694045,0.27642474,0.2786679,0.2757212,0.2697928,0.2651246,0.26621744,0.27418867,0.2850523,0.2930313,0.2933797,0.286611,0.27561966,0.26472065,0.25550088,0.24910505,0.24670947,0.25074065,0.26157418,0.27597523,0.28878412,0.296908,0.3014425,0.30530155,0.31004187,0.3134313,0.3105956,0.2966105,0.2704503,0.23618293,0.20088641,0.17030615,0.1463713,0.12816386,0.114606656,0.106346585,0.10634171,0.11800194,0.14257449,0.17548813,0.2071799,0.22731541,0.23075682,0.21946092,0.19935417,0.17623402,0.15288897,0.13071732,0.11200351,0.10221984,0.107765734,0.13123979,0.1678434,0.2075245,0.24157341,0.26715025,0.28621295,0.30094615,0.31053188,0.312722,0.30653584,0.2949395,0.2827801,0.27419195,0.2699758,0.26893246,0.26995337,0.27247486,0.27559268,0.27705964,0.27578256,0.27231166,0.26865014,0.26439142,0.25630623,0.23957275,0.21138895,0.17337297,0.1311989,0.09324662,0.06721779,0.059487298,0.07288509,0.10666581,0.15421642,0.20565487,0.24999619,0.2798877,0.2914637,0.28487322,0.2623307,0.22848916,0.18870775,0.14893602,0.11383136,0.08691445,0.07036237,0.06719631,0.08144318,0.11558255,0.16606069,0.22219245,0.2709701,0.302899,0.31458917,0.30651453,0.28134093,0.24282674,0.1969008,0.15001044,0.10917688,0.07886122,0.061032075,0.053190112,0.051612597,0.053785667,0.06192946,0.08212561,0.118922494,0.17010696,0.22349153,0.2645503,0.28366986,0.28367853,0.27450064,0.26733848,0.26663622,0.27136412,0.27684903,0.2798948,0.2789781,0.27496386,0.2688305,0.2617335,0.2543543,0.24810755,0.24533361,0.24849753,0.25788736,0.269694,0.2776576,0.27696863,0.26850092,0.25709754,0.24783826,0.24090932,0.23380576,0.22327936,0.20970142,0.19485404,0.18233322,0.17501278,0.1764486,0.18795462,0.20778699,0.22871457,0.24191146,0.24089454,0.22668612,0.20594595,0.18707593,0.17397828,0.16577889,0.15973175,0.15698059,0.16164325,0.17643525,0.19696803,0.21496771,0.2234671,0.2216586,0.21245903,0.20149986,0.19476278,0.19808394,0.21143103,0.22891492,0.2404747,0.24050874,0.22902344,0.21140683,0.19351374,0.18128248,0.17906158,0.18735401,0.19973606,0.20415123,0.19022673,0.15648048,0.11241788,0.07245137,0.049038816,0.047921475,0.06750069,0.098562606,0.12766655,0.14385092,0.14755586,0.14972335,0.16382451,0.19328658,0.23177402,0.2687001,0.2992232,0.32327187,0.34282753,0.3573197,0.3656985,0.3680689,0.36669052,0.36394832,0.36100933,0.35784507,0.35393393,0.3490164,0.34264043,0.3340652,0.32224897,0.30667326,0.28788164,0.2671716,0.24610679,0.22596063,0.2077775,0.19182616,0.17732425,0.16224751,0.14455597,0.12322348,0.099303156,0.075304314,0.05443876,0.039743118,0.034051344,0.039327618,0.054233115,0.07248213,0.084701546,0.08496994,0.075099446,0.062876485,0.05518724,0.05365084,0.055526536,0.058454275,0.0635516,0.07613215,0.10050968,0.13575186,0.17190109,0.19682658,0.20229132,0.19023603,0.16883008,0.14923237,0.14116307,0.15099353,0.17849314,0.21573828,0.2507856,0.2741473,0.2830222,0.28016496,0.26929688,0.25377524,0.23720932,0.22697304,0.22998236,0.24931622,0.2781145,0.30614755,0.32420847,0.33163044,0.33175895,0.32940745,0.32592162,0.3212936,0.3149215,0.30734274,0.29834732,0.28762606,0.2741511,0.25837478,0.24080826,0.22334395,0.20799579,0.19765085,0.19359194,0.19506907,0.19884413,0.2015448,0.20149563,0.20035042,0.2028537,0.21379806,0.23492782,0.26183185,0.28702334,0.3030522,0.3073751,0.30130085,0.28901625,0.27485177,0.26275882,0.2548742,0.25049236,0.24612677,0.2376353,0.22390401,0.20821472,0.19753598,0.19741249,0.20892222,0.22657996,0.24277098,0.25125495,0.2510327,0.24475646,0.23736829,0.23345967,0.23649025,0.24672663,0.26025656,0.26997945,0.26938435,0.25673917,0.2353387,0.21174853,0.19238682,0.1823252,0.18270463,0.18949069,0.19343321,0.18521182,0.16082478,0.12514122,0.088538386,0.06153242,0.049591467,0.053448886,0.07227687,0.10521102,0.1495503,0.1967231,0.23545869,0.2584089,0.26926914,0.2790602,0.29719737,0.3235812,0.3498757,0.36708447,0.37202403,0.3684295,0.3625256,0.3590585,0.35938716,0.36289874,0.36766684,0.37179124,0.37354085,0.37304866,0.37134624,0.36958864,0.36691022,0.36163393,0.35237488,0.33965358,0.32518926,0.31118143,0.2997472,0.2923232,0.28935018,0.28927687,0.28938589,0.28686914,0.28113854,0.27418885,0.26958942,0.26955292,0.27345642,0.278128,0.28067026,0.27988204,0.27642846,0.2710451,0.26428753,0.2569937,0.2507687,0.24715412,0.24634777,0.24729042,0.24855529,0.24945194,0.24990459,0.2499953,0.24947526,0.2480158,0.24546683,0.24225236,0.23921229,0.23745269,0.23843299,0.2441715,0.25782856,0.28091812,0.31102493,0.33897042,0.3545413,0.35185245,0.33484614,0.31246313,0.29376492,0.28236446,0.27826166,0.2776617,0.27664173,0.26974332,0.2554473,0.23442133,0.21260466,0.1946315,0.18390678,0.17932938,0.17978744,0.18547767,0.19962086,0.22405034,0.25618413,0.28762412,0.31008956,0.31985447,0.32001138,0.31632558,0.31355214,0.31311324,0.31264377,0.30751118,0.29331958,0.2701877,0.24329175,0.220708,0.20830257,0.20824324,0.21861295,0.23538256,0.25253513,0.2641512,0.2664725,0.25985214,0.24834198,0.23730071,0.2314307,0.23239206,0.23824681,0.24401267,0.24572797,0.24347948,0.24144714,0.24373437,0.2511435,0.2611791,0.27057445,0.27689263,0.27887097,0.27615938,0.2696223,0.26118466,0.25336075,0.24870263,0.24887097,0.25408593,0.26211932,0.26919296,0.2712354,0.2659507,0.25334385,0.23503579,0.21296893,0.1884867,0.16286783,0.1382976,0.118411504,0.10732635,0.107966684,0.12113923,0.14577366,0.17902754,0.21636479,0.25179037,0.2802938,0.29951134,0.3104473,0.31569073,0.3181815,0.32016706,0.3224212,0.3241113,0.32309118,0.3180077,0.309041,0.29843342,0.28878865,0.2819313,0.2778215,0.27530062,0.27306715,0.2710854,0.27044165,0.27309048,0.27997532,0.29020885,0.30085877,0.30838108,0.31031752,0.3055302,0.29494536,0.28071177,0.2663083,0.2543097,0.24582273,0.2398138,0.23481171,0.2295091,0.22394456,0.21851946,0.2139609,0.21011679,0.20666452,0.20308332,0.19921482,0.1952386,0.1914767,0.18843412,0.1859107,0.18324494,0.17931736,0.17378609,0.16722633,0.16099642,0.15637964,0.15383303,0.15289621,0.15245287,0.151681,0.15016918,0.14806779,0.14547162,0.14260656,0.13947828,0.13625267,0.13315582,0.13078149,0.12963457,0.12970185,0.1303038,0.13039804,0.1292547,0.12662335,0.12295418,0.119006336,0.1156537,0.11332405,0.11195317,0.11095085,0.109656505,0.10761467,0.10478874,0.10145577,0.09804216,0.09503008,0.092719354,0.0911128,0.089895904,0.08873262,0.08747702,0.086128354,0.084765635,0.08342725,0.08213815,0.08080327,0.07928615,0.077490844,0.075452164,0.073300056,0.071242966,0.06953209,0.06837531,0.06781197,0.0675689,0.06706355,0.06540391,0.06188115,0.05624409,0.049787592,0.046541467,0.054190587,0.080548964,0.12550698,0.1756111,0.20892458,0.21068685,0.18351083,0.14544414,0.11629336,0.10878512,0.12538312,0.16073085,0.20290177,0.23882543,0.26026365,0.268371,0.2694019,0.26884863,0.26764074,0.2652445,0.262845,0.26440188,0.27361724,0.28994444,0.3066671,0.31344786,0.30294636,0.27587295,0.24049276,0.20677601,0.1807589,0.16261214,0.14809576,0.1323575,0.11376924,0.09672586,0.08954132,0.09984055,0.13049036,0.1781014,0.23439038,0.28677028,0.32432285,0.34193945,0.34640467,0.35313067,0.3818246,0.44368863,0.53146523,0.61519355,0.6579928,0.64025086,0.5748473,0.49687362,0.43867686,0.41299593,0.4131888,0.42583692,0.43934953,0.44938505,0.45646012,0.46370533,0.47056782,0.47331536,0.46618974,0.44719204,0.41785967,0.38386512,0.3509483,0.32349053,0.30077282,0.27849424,0.25080696,0.21591836,0.17720257,0.14292927,0.122732945,0.12471932,0.15173282,0.19646092,0.2432307,0.27671328,0.2960912,0.31641114,0.35358408,0.40686163,0.45349547,0.46846735,0.44095007,0.3839315,0.31899595,0.2646477,0.22735359,0.20717023,0.20248844,0.21290815,0.23663187,0.2679107,0.29711595,0.31502387,0.3173157,0.30630144,0.28793332,0.2681401,0.25109807,0.23939776,0.2345289,0.23540962,0.23843133,0.23818457,0.23139894,0.21978188,0.21224771,0.22409634,0.26939705,0.34958303,0.4422967,0.5098463,0.52240473,0.4847095,0.43761954,0.42913294,0.4779528,0.5556827,0.6121021,0.61198163,0.5612944,0.4926505,0.43797716,0.40865782,0.39961243,0.40181258,0.4092566,0.4188514,0.42793024,0.43512198,0.44077697,0.44713572,0.4576745,0.47641563,0.5064935,0.5440514,0.5773544,0.5890967,0.5698541,0.5214316,0.45622197,0.38498512,0.31468633,0.24813257,0.18915474,0.14124808,0.10675746,0.085722804,0.07777773,0.08398343,0.107585885,0.15351148,0.22085285,0.29764953,0.35858116,0.38153365,0.3596047,0.3069039,0.2432105,0.18373477,0.13489228,0.1001879,0.083270036,0.08812973,0.116656505,0.16504051,0.221988,0.2719641,0.3033012,0.31299725,0.30570996,0.28746536,0.26316407,0.23591024,0.20897754,0.18514329,0.16573913,0.14914139,0.1314541,0.111617275,0.09815868,0.113014065,0.18034649,0.30631003,0.46110082,0.5884529,0.63906914,0.60643166,0.53468037,0.48729572,0.5040526,0.57165784,0.63896817,0.6548431,0.6062706,0.51997286,0.4368918,0.38203362,0.3566626,0.35000423,0.3538603,0.36462665,0.3787694,0.38868144,0.3869537,0.3709947,0.3450503,0.31794438,0.29836848,0.2919669,0.29731053,0.3070245,0.31000492,0.29839504,0.2707468,0.23229568,0.19081156,0.15379803,0.12851278,0.12175363,0.13639076,0.1653667,0.19183697,0.2005068,0.19093268,0.18304344,0.19970697,0.24912567,0.31185606,0.35914192,0.3703654,0.34895375,0.31128237,0.27499214,0.24801348,0.23137474,0.22370271,0.22471291,0.23362541,0.24674368,0.2570443,0.25757214,0.24568124,0.22437067,0.20006378,0.17887914,0.16532797,0.162524,0.17154785,0.18987906,0.20990257,0.22317354,0.22449166,0.21741773,0.2135038,0.23179023,0.2909852,0.39636222,0.52639467,0.63434154,0.6760171,0.64069456,0.5656706,0.5086009,0.5090442,0.5581789,0.612067,0.62418336,0.5798653,0.49908125,0.4173266,0.36041033,0.3335785,0.3286198,0.3342248,0.34464777,0.35609528,0.3658832,0.37008116,0.37022278,0.37406084,0.3961393,0.445683,0.5177929,0.5862563,0.6183617,0.5941789,0.5239179,0.4397625,0.37477827,0.34390795,0.34202716,0.3561205,0.37448695,0.38977894,0.3959714,0.38892487,0.37020555,0.3478187,0.33463934,0.33865952,0.35904834,0.38298824,0.39662194,0.39276376,0.37727484,0.36078978,0.35085955,0.3467138,0.3452996,0.3485851,0.3679107,0.4155426,0.49119043,0.57158786,0.6206469,0.61232454,0.54935616,0.46058336,0.3790823,0.32616067,0.3033009,0.30222797,0.30901733,0.314463,0.31374112,0.30920386,0.3057406,0.3102564,0.3313862,0.37830123,0.453806,0.54528934,0.62354547,0.65790755,0.6367877,0.5814368,0.5333776,0.5274317,0.5642248,0.6091822,0.6184543,0.571893,0.48722816,0.40203342,0.34627083,0.32511392,0.32578596,0.33258203,0.33791444,0.34201393,0.34765175,0.35469833,0.35996422,0.35918096,0.35101345,0.3370149,0.32085922,0.30591154,0.2941382,0.2854042,0.2766347,0.263339,0.2408757,0.20839925,0.16973102,0.13448052,0.11393595,0.1161654,0.1392105,0.17063302,0.19464017,0.2044636,0.20921052,0.22682585,0.26779702,0.32331857,0.37018776,0.3892839,0.3793446,0.35591915,0.3354864,0.32422304,0.31688038,0.306134,0.28998062,0.27280974,0.26147735,0.25946426,0.26545453,0.27395624,0.27989936,0.2803444,0.27654937,0.27155313,0.26887566,0.26892042,0.2703739,0.27178824,0.27454925,0.28041837,0.28884065,0.2981398,0.31216443,0.3459611,0.41448507,0.5156428,0.6156659,0.6700576,0.65314347,0.58644086,0.52215326,0.5087516,0.55240136,0.61550975,0.6455409,0.61473584,0.53740525,0.45332742,0.3970215,0.37779614,0.38346973,0.3960707,0.40379992,0.40429142,0.40006974,0.3951156,0.39087054,0.38758746,0.38433814,0.38169727,0.38064435,0.3824687,0.3865721,0.39014265,0.38900277,0.38079438,0.36661863,0.3492659,0.3292379,0.3048242,0.2760702,0.24853672,0.22976781,0.22282232,0.22381808,0.22774725,0.23650236,0.25758803,0.29509172,0.33917132,0.37043008,0.37270364,0.3455869,0.30234918,0.2594457,0.227318,0.20869042,0.20242919,0.20648587,0.22002856,0.2411279,0.266095,0.2866718,0.29474732,0.28452674,0.25960687,0.23063397,0.21284819,0.21384744,0.2288344,0.24053182,0.23396538,0.20626879,0.1698811,0.13978781,0.12718672,0.13897105,0.18746251,0.28226927,0.41616392,0.5502789,0.6344703,0.6394729,0.583525,0.51941484,0.49631658,0.5265692,0.578911,0.6098962,0.5938937,0.54144144,0.48013303,0.43533996,0.41374862,0.41040823,0.41460243,0.41889617,0.41824484,0.41279593,0.40436032,0.39681736,0.39168283,0.39037165,0.3928174,0.39975485,0.40801644,0.4121288,0.40450367,0.38281986,0.34992254,0.31312492,0.27898654,0.25195965,0.23437996,0.22626118,0.22571467,0.2286839,0.23103471,0.23046522,0.22885299,0.233518,0.25302407,0.29062235,0.33690128,0.37407073,0.38528252,0.36662397,0.32672805,0.28071263,0.23963569,0.20728491,0.18288346,0.16775866,0.16822655,0.18850465,0.22280478,0.25333664,0.26307425,0.2467503,0.21336745,0.17646353,0.14705494,0.13228299,0.13728888,0.16214894,0.19964397,0.23554872,0.25789547,0.2606796,0.24961054,0.23885709,0.2538595,0.31615737,0.4286209,0.55646336,0.64576054,0.657608,0.60325867,0.5364893,0.51256436,0.5495253,0.6166401,0.6650028,0.6582857,0.5967931,0.5076735,0.42661557,0.37590232,0.35781732,0.36133468,0.37245408,0.38346967,0.39124835,0.39643264,0.39979455,0.40615892,0.42456925,0.46628103,0.5335998,0.6104126,0.6643557,0.6656318,0.60910034,0.5190683,0.4325924,0.37516427,0.3502948,0.34540692,0.34623238,0.3452808,0.34204876,0.33766332,0.33048797,0.31894422,0.30595165,0.30225503,0.31630445,0.3458794,0.3737229,0.38324413,0.36953452,0.34386256,0.3192475,0.30186775,0.288622,0.27471027,0.25663716,0.23205668,0.1990325,0.1579265,0.11388934,0.074466646,0.04594605,0.031184597,0.032546517,0.054638583,0.099205665,0.15866257,0.21278648,0.24237262,0.24078457,0.21949227,0.19526489,0.17997223,0.17560719,0.17960988,0.18883021,0.20199268,0.2187192,0.23921378,0.2619199,0.28291818,0.29478338,0.29014787,0.265498,0.22520804,0.18078315,0.14655241,0.13455915,0.14868248,0.18350159,0.22482681,0.25813127,0.2729503,0.26736447,0.24435507,0.2115699,0.17771266,0.15112762,0.13536245,0.12883456,0.12617712,0.122400075,0.11477053,0.10349881,0.0899994,0.07596998,0.06246209,0.050178725,0.039402008,0.030124351,0.022214377,0.01561744,0.01047979,0.006826582,0.0044877976,0.0030632226,0.0021864104,0.0016134833,0.0013207098,0.0016207652,0.0032886139,0.0075318874,0.015273679,0.026241755,0.038296517,0.048295643,0.053634316,0.053864036,0.05052239,0.04611671,0.042457566,0.040250544,0.039101686,0.03835383,0.037352953,0.03578572,0.0335732,0.030903736,0.028154293,0.025743878,0.024006402,0.022944933,0.022303188,0.021620465,0.02055824,0.01897119,0.016998613,0.014890882,0.0129026575,0.011106185,0.009408407,0.007638732,0.005756706,0.00391441,0.0024764575,0.0020067126,0.0033508579,0.0075124167,0.015206777,0.026211746,0.03899653,0.051099677,0.059989363,0.06413886,0.06344839,0.059152648,0.05310389,0.047105085,0.042374883,0.03932176,0.037599433,0.03637166,0.034756843,0.032248635,0.028897107,0.025248015,0.021962903,0.019595906,0.018352607,0.018126545,0.018415185,0.01853174,0.017845713,0.016177412,0.013828821,0.0113811875,0.009265538,0.0075687314,0.006088514,0.0046298853,0.0031915454,0.0019935493,0.0014873015,0.002561095,0.0067983605,0.016107293,0.03165287,0.05248918,0.07539982,0.09583846,0.10979896,0.11487424,0.1109279,0.09985027,0.085115284,0.07048369,0.05858709,0.050159216,0.044369046,0.040062606,0.036561284,0.033875376,0.032119006,0.031167679,0.030614642,0.030164784,0.029721817,0.029215476,0.028324852,0.02665162,0.024174677,0.021416344,0.019126685,0.01763271,0.016670777,0.01569833,0.014450048,0.013083913,0.011926456,0.011319298,0.011927597,0.015108779,0.022624405,0.035348315,0.05201779,0.06904155,0.08206761,0.08813871,0.08703389,0.08082844,0.07245418,0.064440794,0.058446407,0.055109102,0.054045826,0.054032683,0.053741995,0.0524755,0.050757315,0.050388876,0.05402341,0.063808344,0.07961743,0.0984332,0.11562351,0.12766762,0.13319014,0.13264015,0.126626,0.11629012,0.103598945,0.09174342,0.083357714,0.07941305,0.078763485,0.07935772,0.079409875,0.07865408,0.07899556,0.08387733,0.09569744,0.1130771,0.13073762,0.14292961,0.14726005,0.14541851,0.14066958,0.13502751,0.12902454,0.122881286,0.11760059,0.11441267,0.11391512,0.11541019,0.11712396,0.117268205,0.11552698,0.113826655,0.115105115,0.12069988,0.12887882,0.13576876,0.13850375,0.13674478,0.1332375,0.13171488,0.13631259,0.14816532,0.16503102,0.1804204,0.189606,0.19147915,0.19121957,0.19518073,0.2100647,0.23571086,0.26519546,0.28365263,0.28122988,0.25777528,0.22520077,0.19471739,0.17245728,0.15940273,0.15932696,0.1770649,0.21046251,0.24429357,0.2588406,0.24602097,0.21667631,0.19233583,0.19176199,0.22195737,0.278042,0.3435682,0.39975584,0.43213806,0.44013545,0.43118128,0.4152571,0.39753512,0.38100967,0.36867335,0.3624802,0.36002672,0.35375932,0.33788285,0.3131425,0.28686857,0.26539987,0.25111955,0.2418089,0.23558669,0.2299862,0.22464,0.21872397,0.21315612,0.20667036,0.19742095,0.18385892,0.17016684,0.16552152,0.17851377,0.20838563,0.24396758,0.2706872,0.2803345,0.27374956,0.25891253,0.24547525,0.24281001,0.2543877,0.27731678,0.3011159,0.31577864,0.3144859,0.29745132,0.2674937,0.23195206,0.20185967,0.19183712,0.21101253,0.25469816,0.3051928,0.34054407,0.3504243,0.34089002,0.3358185,0.3608587,0.42967996,0.5286959,0.62464887,0.6790226,0.6718672,0.6086863,0.51876515,0.43519273,0.37948498,0.35212162,0.33991984,0.32685426,0.3013388,0.25949234,0.20430394,0.14795586,0.107429855,0.099944524,0.13151728,0.19346602,0.26324052,0.3179764,0.34288058,0.3361582,0.30210504,0.24878205,0.1866715,0.13097434,0.09805692,0.097902216,0.1271755,0.16788179,0.19699574,0.2009903,0.18703628,0.17967622,0.20100929,0.2532033,0.31301644,0.35192552,0.35261557,0.3188871,0.263234,0.19915909,0.13672419,0.087169945,0.062891826,0.07200911,0.111246735,0.1628679,0.20155638,0.20832072,0.18256533,0.14475162,0.12422184,0.14242274,0.19935684,0.27419207,0.3384277,0.37014517,0.36269423,0.32050708,0.25578207,0.18411517,0.12539457,0.099350244,0.11813998,0.1773798,0.2532421,0.31301638,0.33319363,0.31662992,0.29244816,0.2980719,0.35412583,0.44926056,0.54747474,0.61008745,0.618274,0.5815778,0.5266481,0.4800636,0.45149934,0.43652534,0.4236329,0.40528342,0.37579477,0.33099192,0.26931754,0.19893797,0.1377773,0.10528812,0.10988619,0.14356768,0.18747424,0.22347105,0.24197899,0.24137497,0.22288574,0.18846337,0.14359514,0.10006233,0.07318333,0.07297236,0.096916325,0.12911405,0.14992128,0.14924598,0.13537233,0.13194545,0.15945815,0.22012699,0.2907782,0.34203503,0.3534948,0.32658166,0.27312067,0.20852637,0.14411046,0.09128245,0.06096893,0.06210524,0.0949747,0.14771603,0.19788386,0.22316621,0.21471131,0.1848856,0.16118073,0.16860192,0.21374391,0.28072485,0.3437352,0.3809321,0.38241735,0.34792414,0.28558728,0.21483327,0.16556829,0.16783066,0.22814858,0.3196601,0.39127293,0.40394917,0.35464182,0.27941087,0.22841972,0.23817128,0.3160044,0.43819824,0.56689304,0.6655424,0.714613,0.71201855,0.6699303,0.6084743,0.5472288,0.4999089,0.4669318,0.43910435,0.40094507,0.3430005,0.26637045,0.1861582,0.12342302,0.098262675,0.12000213,0.18324278,0.26805988,0.34904075,0.40779045,0.43969247,0.45170856,0.4528948,0.44858077,0.43921956,0.42390156,0.40232706,0.37385097,0.33587447,0.28486708,0.22373076,0.1664935,0.13728787,0.15365244,0.21405427,0.2918721,0.35594523,0.38778105,0.39363286,0.38970497,0.38870397,0.39215854,0.39656028,0.39978528,0.40044686,0.3963811,0.38192186,0.35155916,0.3021277,0.23841275,0.17455502,0.13219877,0.13048291,0.17431466,0.24962692,0.32967964,0.39155018,0.42591298,0.4387363,0.44025806,0.4380873,0.43357357,0.42638406,0.41712388,0.40785387,0.39834127,0.38338745,0.3564243,0.31820562,0.28566465,0.28570592,0.33823022,0.43643036,0.5466873,0.6264079,0.64675736,0.60530776,0.5186139,0.4117016,0.30513316,0.21763717,0.16470729,0.15701,0.18903236,0.2376725,0.2724913,0.2740057,0.24515317,0.20853917,0.19224943,0.21287139,0.26618588,0.33226526,0.39015266,0.42957464,0.45203146,0.46265304,0.4650999,0.46005115,0.44940865,0.43610135,0.4234254,0.41052607,0.39266765,0.3640715,0.32509306,0.2873839,0.26852262,0.28097677,0.31763044,0.35863075,0.38392624,0.3909708,0.38852167,0.38562152,0.37979695,0.36168373,0.3269283,0.28516403,0.25765237,0.26066178,0.29035816,0.3206443,0.32264623,0.2862523,0.22896846,0.18010502,0.15979093,0.1665402,0.18436462,0.19745852,0.19898553,0.19181758,0.18137455,0.17263375,0.16705652,0.16463093,0.16485661,0.16702968,0.17003709,0.17086564,0.1690287,0.16906293,0.1848517,0.23288672,0.3225253,0.44370535,0.56668615,0.6548311,0.6823384,0.64836043,0.57355756,0.48894963,0.41765678,0.36895633,0.33942533,0.32083035,0.30329153,0.2768841,0.23495132,0.1803901,0.12764084,0.09804676,0.107424,0.15724726,0.2314191,0.30507085,0.3554977,0.37073347,0.34997046,0.30015227,0.233889,0.16757156,0.11945993,0.10310358,0.121258,0.16174175,0.201849,0.22061078,0.2124997,0.19373345,0.19062787,0.2203575,0.27439043,0.32507864,0.3445066,0.32355854,0.27174783,0.20654814,0.14230786,0.08921099,0.055382404,0.0487154,0.071545415,0.11659274,0.1640348,0.19121426,0.18505289,0.15387562,0.12357176,0.12215272,0.16105612,0.22777171,0.2951145,0.3383036,0.3461629,0.32087708,0.27075872,0.20762746,0.1460842,0.10446636,0.0983347,0.13366766,0.19946997,0.27057576,0.31816924,0.32793236,0.3107891,0.29918337,0.3254955,0.40073642,0.50490814,0.6000755,0.6500346,0.64151525,0.587774,0.5205081,0.46777117,0.44038168,0.43000305,0.42138207,0.4011797,0.36214343,0.30255723,0.2292187,0.1578114,0.10921928,0.09790776,0.1237759,0.17034815,0.21608722,0.24474788,0.25207478,0.23983862,0.21167332,0.17073996,0.12502645,0.08715639,0.07070998,0.080636226,0.109706454,0.1401576,0.15581407,0.15263905,0.1455652,0.1576493,0.20297833,0.27117962,0.33322966,0.36110172,0.34581026,0.29824135,0.23609437,0.17285532,0.116803326,0.0757286,0.05990392,0.07620737,0.12182889,0.17885476,0.22166069,0.22996871,0.2038014,0.16620512,0.14986776,0.17681958,0.24302073,0.32335478,0.3869045,0.41375768,0.3982068,0.3459033,0.2716551,0.20085084,0.1659624,0.18897976,0.26251063,0.34581268,0.3901254,0.37147963,0.30655095,0.23972504,0.21556325,0.25794327,0.3610352,0.49457058,0.617536,0.69615906,0.7176694,0.6912134,0.6389381,0.5813571,0.5295911,0.48510766,0.4442126,0.40076005,0.34738255,0.28014913,0.204015,0.13487716,0.09252807,0.0913932,0.13182002,0.20142972,0.279458,0.34875,0.39871576,0.42874613,0.44172677,0.44466975,0.4434946,0.44267356,0.4403901,0.43105444,0.40694973,0.3631748,0.30059025,0.23047538,0.1743819,0.15619944,0.18598652,0.25071564,0.31937915,0.36543536,0.38188592,0.38269988,0.38455346,0.39407286,0.40525305,0.40974855,0.40531954,0.39537835,0.38332057,0.36524698,0.33304524,0.28088322,0.21621764,0.15893137,0.13427873,0.15596712,0.21937263,0.30168694,0.3773727,0.42821625,0.45095816,0.4519947,0.44304562,0.43498442,0.43529806,0.44572556,0.45998707,0.46637633,0.45216253,0.41326538,0.35752162,0.30530834,0.28244612,0.30925834,0.38802043,0.49505702,0.59021306,0.63619107,0.6189264,0.5500929,0.4545171,0.354744,0.26583034,0.20127742,0.17507829,0.19336902,0.24327762,0.2941321,0.3172302,0.3060938,0.2861173,0.29520965,0.35740113,0.45623937,0.54693085,0.58441275,0.5600792,0.49947307,0.4418107,0.40960085,0.40401003,0.41171375,0.4195641,0.41948405,0.41077462,0.39545533,0.3754741,0.34963933,0.31945452,0.29389736,0.28706965,0.30525568,0.3352007,0.35203376,0.33598587,0.28954753,0.23144656,0.18470709,0.16431905,0.17742832,0.22725062,0.30924335,0.40739226,0.49025264,0.5275757,0.504969,0.4359889,0.35047552,0.27823707,0.23380472,0.21565591,0.21353234,0.21777447,0.22314598,0.22800313,0.2311309,0.23233466,0.2353426,0.25128436,0.29369473,0.36531588,0.4468751,0.5032267,0.5080659,0.46518815,0.40795827,0.3763351,0.3933806,0.45659375,0.54379755,0.6250539,0.6725018,0.67041975,0.6213276,0.5459685,0.4711715,0.41583824,0.38281485,0.36431277,0.34950915,0.33091995,0.30369046,0.266034,0.2196904,0.17217083,0.13629018,0.123963304,0.1388635,0.1715798,0.20590259,0.2269917,0.22789745,0.2082931,0.17237984,0.12861189,0.089482434,0.06980497,0.079110175,0.11558456,0.16244107,0.1961419,0.2009819,0.18220632,0.16607104,0.17946482,0.23030166,0.2962167,0.34477314,0.35264727,0.32164416,0.2663409,0.20341349,0.14259188,0.09195996,0.06012264,0.055223614,0.07805982,0.11888329,0.15875418,0.17937021,0.17308414,0.1500679,0.13327079,0.14496394,0.1918749,0.26035276,0.32580817,0.36646554,0.37240556,0.34399304,0.28822213,0.21761791,0.15087916,0.11022705,0.11180184,0.15691656,0.22725779,0.29279646,0.32652155,0.32246295,0.3026724,0.30447042,0.35543826,0.45115066,0.55854946,0.63530225,0.65496033,0.61772066,0.5475719,0.477554,0.4311522,0.41268313,0.4103206,0.4099411,0.40362048,0.39012763,0.36873397,0.337485,0.2962199,0.25239757,0.21927421,0.20841362,0.2195238,0.24146478,0.2587155,0.2608516,0.24319893,0.20691507,0.15809415,0.109702766,0.078215145,0.07584083,0.101589285,0.139197,0.16552687,0.16630246,0.147098,0.13305373,0.14897758,0.20246935,0.27290365,0.33028853,0.35163555,0.336664,0.29610577,0.24295191,0.18421476,0.12802275,0.08582746,0.07102945,0.08894453,0.13159283,0.1776544,0.20382322,0.19794782,0.16923808,0.14455748,0.1519869,0.20267005,0.2828003,0.36472014,0.42281225,0.44544724,0.43191338,0.38760126,0.3233864,0.26056403,0.22853433,0.24605548,0.30363658,0.36169764,0.37933102,0.34231925,0.274847,0.22212262,0.2239366,0.2943726,0.41474748,0.5458154,0.64650995,0.6936198,0.68639725,0.64159864,0.5819892,0.5262692,0.48292652,0.45033798,0.422441,0.394833,0.36640415,0.3363489,0.3017356,0.26125196,0.22212748,0.20132382,0.21410356,0.26051238,0.32235327,0.37769663,0.41433656,0.43417192,0.44312224,0.44540092,0.4414779,0.43288073,0.42218125,0.41194475,0.4015063,0.38641873,0.36142638,0.32556438,0.28898895,0.26820168,0.27676818,0.30922076,0.34686062,0.36953762,0.3746898,0.3715277,0.3715271,0.37627688,0.38250566,0.38637114,0.38745132,0.38546634,0.3802514,0.37007567,0.35221556,0.32240877,0.28089678,0.23752457,0.21105985,0.21661983,0.25397143,0.30734992,0.35833165,0.39667478,0.42151526,0.43496814,0.43877658,0.43505278,0.4273199,0.41934133,0.4119067,0.40285063,0.38704678,0.36079633,0.3253199,0.2937518,0.28802034,0.32762814,0.41104093,0.51126146,0.58908325,0.61559385,0.58557004,0.51297414,0.41898254,0.32166952,0.23644555,0.17892969,0.16189088,0.18618448,0.23285799,0.27205992,0.27891043,0.25128424,0.20969492,0.18543404,0.19963913,0.25140846,0.3210605,0.3853838,0.4308927,0.45526662,0.46198675,0.45535842,0.44096008,0.42470846,0.41170922,0.4021932,0.39324093,0.37919664,0.35701314,0.32683727,0.29755512,0.2820847,0.29177344,0.32303202,0.3601377,0.38554385,0.39471635,0.39464724,0.39304328,0.3893235,0.37623504,0.34958613,0.31567612,0.29070273,0.28991446,0.31314936,0.34148434,0.3483212,0.32013106,0.26556,0.20972975,0.17487097,0.16818066,0.17893966,0.19147132,0.19421516,0.18735163,0.17638402,0.16796285,0.16399513,0.16364652,0.1654468,0.16822565,0.17093194,0.17107643,0.1684161,0.16759521,0.18110804,0.22472723,0.30760372,0.42363557,0.5476035,0.6468377,0.69297934,0.67993754,0.6235092,0.5556873,0.50205725,0.47227815,0.45933768,0.45451808,0.45361674,0.45666775,0.4611939,0.46316376,0.46001267,0.45390877,0.44856623,0.44656178,0.44728968,0.4489362,0.44954446,0.44840097,0.4457241,0.44258,0.4400855,0.43870902,0.4381478,0.4374607,0.43608388,0.43396696,0.43183267,0.43033347,0.4303786,0.432929,0.43920374,0.44733772,0.4512688,0.4409784,0.41158828,0.36894977,0.33101496,0.31548497,0.32877186,0.3622882,0.40316114,0.4459783,0.49402723,0.5479805,0.596855,0.6221062,0.6135815,0.5772752,0.5314353,0.49148896,0.46398604,0.44650337,0.4351195,0.42695323,0.42114592,0.41695678,0.41349867,0.41087672,0.41254982,0.42731667,0.46625212,0.5341039,0.6190145,0.6919145,0.7215638,0.6961451,0.63546234,0.57930964,0.5633605,0.59665036,0.65933204,0.7145906,0.73050994,0.6957183,0.62471986,0.5457011,0.48269522,0.44369817,0.4237975,0.41498744,0.4123656,0.41365814,0.41676584,0.42099056,0.4296216,0.45255843,0.4985595,0.56663203,0.63531953,0.67438966,0.6609566,0.60049695,0.52038616,0.4532112,0.41463783,0.40123108,0.39963233,0.3993645,0.39676845,0.39296052,0.39001194,0.38986376,0.3942865,0.40532055,0.423732,0.44585565,0.46191278,0.45854297,0.42854413,0.37831876,0.32874373,0.30228022,0.30950174,0.3434371,0.38978374,0.44135413,0.501806,0.5752395,0.6504157,0.7012834,0.7027054,0.65215683,0.5728906,0.49823216,0.4490004,0.42474845,0.41257414,0.40162528,0.3900095,0.38081238,0.37570408,0.37363264,0.37605074,0.3914497,0.43299893,0.5051605,0.5925216,0.6594445,0.6728609,0.62570137,0.5486506,0.49076593,0.48978558,0.54856515,0.63623947,0.70787233,0.72880095,0.69011396,0.6112583,0.5256582,0.46360767,0.43405387,0.4291699,0.43280458,0.43631473,0.43728182,0.43768302,0.43937436,0.44663605,0.46795192,0.5109953,0.5748953,0.64258474,0.6888898,0.6936493,0.6566489,0.59478956,0.53172886,0.48327208,0.45400205,0.4395965,0.43379593,0.43191168,0.43216804,0.43407306,0.43687883,0.43941167,0.44144556,0.44488868,0.45089993,0.45631906,0.45170376,0.42876735,0.38868102,0.3468791,0.32325646,0.32933083,0.3611481,0.4075346,0.46249583,0.5275824,0.6007466,0.6642117,0.6901133,0.6616513,0.5906349,0.51131934,0.45581377,0.43409407,0.4350992,0.44177032,0.44446638,0.44145623,0.43511868,0.42694435,0.41929105,0.41611817,0.42528966,0.45588264,0.511716,0.5828113,0.6427822,0.66226166,0.6292955,0.5635826,0.5070239,0.4981018,0.5482499,0.63617134,0.72110224,0.76303643,0.73773885,0.64681196,0.51339,0.37509513,0.26291978,0.19298029,0.16085808,0.15374641,0.1572694,0.16294448,0.167046,0.16984685,0.17262985,0.17616536,0.17961454,0.18158072,0.1814593,0.18006231,0.17877078,0.17806281,0.17784859,0.17794484,0.17910679,0.18163909,0.1855266,0.19128501,0.2019514,0.22204638,0.25251338,0.28734437,0.3138764,0.3216714,0.30814064,0.28179052,0.2554574,0.24110591,0.24458925,0.26496437,0.29515752,0.32439983,0.34360746,0.34862792,0.34119484,0.32549167,0.30609956,0.28720737,0.2730701,0.2662218,0.26685807,0.27193698,0.27830994,0.28288862,0.28450528,0.28220007,0.27582428,0.264842,0.24909328,0.2295792,0.20986593,0.19573928,0.19320555,0.20574097,0.23184152,0.26354155,0.28839707,0.2965778,0.29030737,0.28603482,0.3066399,0.36348724,0.4466641,0.52457327,0.5645047,0.5499413,0.49265778,0.4207386,0.36216187,0.32931867,0.3186035,0.31814948,0.3176857,0.3132863,0.30583403,0.2964395,0.28398135,0.26651353,0.24524204,0.22568013,0.21416552,0.21206184,0.21360129,0.21036072,0.19788496,0.17841446,0.15770318,0.1405655,0.12909795,0.12348721,0.122411765,0.12300091,0.12100759,0.11378247,0.10304767,0.09741094,0.10912987,0.1496406,0.21962447,0.30656037,0.38426328,0.42801103,0.4242983,0.38038373,0.31442693,0.24655676,0.1880766,0.143876,0.116417624,0.10992841,0.12695861,0.16270112,0.20306616,0.2307653,0.23507293,0.21762179,0.19092499,0.17105813,0.17017154,0.18936391,0.21850596,0.24066634,0.24435972,0.22981592,0.20793205,0.19184364,0.19265221,0.22260292,0.29166436,0.39828435,0.51410794,0.59334975,0.5991164,0.5357291,0.45233086,0.41022253,0.4414793,0.5233307,0.6012686,0.6263476,0.59081006,0.5220968,0.4583092,0.4206666,0.4088414,0.4117118,0.41993585,0.4296622,0.43924892,0.44574663,0.44537795,0.435997,0.41929033,0.39993083,0.38288593,0.37034318,0.36040142,0.34806284,0.32818756,0.29959655,0.2667257,0.23788743,0.21935505,0.21251489,0.21463221,0.22362445,0.23886092,0.25853398,0.2760912,0.28367552,0.2796304,0.2747569,0.28445327,0.3163039,0.35923913,0.39377347,0.4053111,0.3961446,0.37728378,0.36018705,0.34897316,0.3438666,0.34263882,0.34208533,0.33701172,0.3220737,0.29515597,0.25970438,0.22348171,0.19359933,0.17319606,0.16114672,0.15571095,0.15589191,0.16201186,0.17252958,0.18369919,0.18880509,0.18233895,0.1655246,0.15226828,0.1700788,0.24367751,0.3747181,0.52414393,0.6323537,0.654578,0.5969638,0.5123598,0.46484795,0.48777393,0.56278485,0.63794947,0.66265315,0.62134176,0.53701836,0.4500761,0.39063028,0.36480698,0.36190274,0.36735263,0.37205434,0.3722053,0.3668462,0.35602388,0.34087145,0.3225458,0.30251527,0.28248942,0.26758122,0.2636348,0.27473113,0.2968566,0.32150757,0.33979297,0.3494179,0.35280666,0.35417855,0.35566247,0.3570017,0.35601628,0.34843135,0.32952142,0.29790732,0.2615954,0.23762745,0.2434076,0.28209463,0.3374516,0.38172635,0.39461863,0.37412372,0.33616507,0.3006998,0.27972478,0.27093637,0.26365933,0.24900359,0.22743078,0.20638384,0.19200611,0.18388522,0.17669381,0.16663535,0.15472966,0.14695589,0.15059496,0.16991688,0.20178966,0.23477833,0.2558124,0.2588279,0.24973048,0.24119247,0.24586196,0.27368096,0.33048126,0.41475058,0.5079587,0.5772636,0.5896291,0.5391607,0.45881382,0.40464392,0.4163784,0.4863027,0.5649266,0.59948295,0.5704296,0.49953866,0.42502654,0.37575746,0.35707477,0.3582742,0.36340728,0.361393,0.3481717,0.32510445,0.29560494,0.2656226,0.24611674,0.2559199,0.31028664,0.40691936,0.51297396,0.58271426,0.5841759,0.52420694,0.43959332,0.37064454,0.33666858,0.33208704,0.34140983,0.35264602,0.3625797,0.3706602,0.37444416,0.3701061,0.35805058,0.34536982,0.34308204,0.35645616,0.3805097,0.4007977,0.40505096,0.39009306,0.3636856,0.33723506,0.31958875,0.315678,0.3287318,0.36486176,0.4278594,0.51338726,0.59987575,0.6580537,0.6648116,0.6206003,0.5476776,0.47690403,0.4303156,0.41283357,0.4159079,0.42594662,0.4317861,0.4291682,0.41997293,0.4126017,0.4158183,0.43839836,0.48350096,0.54986334,0.62438947,0.6834471,0.69933885,0.66246116,0.59402376,0.53797275,0.5291332,0.56687754,0.61499196,0.62946063,0.58958894,0.5100375,0.42642698,0.36956868,0.34836802,0.35269085,0.36628547,0.37856868,0.38471255,0.38452768,0.37752125,0.36353478,0.340063,0.3065649,0.26632795,0.22779216,0.19836973,0.17972364,0.16771682,0.15718871,0.1453049,0.1315928,0.11741188,0.10670415,0.106556304,0.12500244,0.16589405,0.224227,0.28543794,0.33176032,0.35287008,0.35278925,0.34823167,0.35437468,0.37497,0.39719215,0.4054241,0.3884127,0.3471209,0.28678063,0.2170092,0.1490806,0.0980736,0.07797926,0.09470899,0.14121383,0.19762309,0.24213256,0.26135933,0.25762877,0.24344866,0.23257732,0.2314746,0.23732215,0.24120398,0.23484246,0.21684353,0.19368966,0.17434211,0.16493656,0.16913557,0.19425042,0.2521081,0.3486664,0.46890888,0.5737092,0.6205068,0.5937569,0.5212949,0.45868418,0.45043018,0.5017789,0.5755153,0.6247758,0.6205745,0.5696269,0.49723986,0.4311005,0.38443053,0.3595108,0.35152903,0.35539392,0.36533782,0.37618598,0.38297185,0.38417375,0.3811815,0.37809706,0.37683415,0.37697282,0.3760641,0.37333032,0.36975893,0.36563835,0.36009642,0.349579,0.33221796,0.30598626,0.27245864,0.23421271,0.19690813,0.16559415,0.14368843,0.13100931,0.12676682,0.13340609,0.15924078,0.2099433,0.27940166,0.3429574,0.3736956,0.357246,0.30427244,0.23622344,0.17329067,0.12411214,0.093060166,0.08489426,0.10577556,0.15479614,0.2191089,0.27569637,0.30400145,0.29699293,0.2669382,0.23710217,0.22911839,0.24966983,0.28933167,0.33032373,0.35933653,0.37318194,0.37677196,0.3765258,0.3783184,0.38845018,0.41677845,0.46975026,0.54259115,0.60969645,0.63834524,0.60834837,0.53574175,0.465368,0.44310674,0.48171625,0.55057704,0.6003692,0.59627676,0.54116464,0.46453238,0.39981946,0.3629597,0.35025916,0.34915236,0.3493776,0.3489392,0.34930333,0.35207006,0.35446897,0.3530729,0.34455708,0.32848296,0.30474356,0.27387097,0.23708962,0.19778323,0.16052884,0.12870127,0.10308686,0.08242557,0.06705683,0.060559798,0.069504075,0.09436449,0.12573548,0.14419739,0.13730888,0.10902688,0.08281041,0.08631805,0.13374875,0.2160094,0.30165777,0.35968396,0.37423572,0.35579506,0.32166576,0.28432515,0.24217089,0.19315432,0.14150561,0.10025185,0.08023595,0.083362184,0.100201346,0.118026815,0.1279599,0.13041265,0.13220547,0.14225478,0.16399334,0.1921711,0.21374834,0.21736391,0.20161855,0.17620678,0.15378869,0.14432812,0.15635143,0.2017554,0.28828084,0.40764093,0.5263907,0.6030967,0.61278385,0.567969,0.5114206,0.48877993,0.51886857,0.5775423,0.6164067,0.594114,0.5094389,0.39724746,0.30361086,0.2542456,0.24750228,0.26521525,0.2895383,0.30953157,0.3208728,0.32114962,0.3103588,0.2930851,0.28368974,0.30299544,0.36556995,0.462294,0.55665565,0.6051505,0.5875342,0.5209312,0.44412994,0.38816926,0.36154154,0.35415116,0.35374007,0.3520509,0.34752023,0.3404156,0.33308324,0.3279167,0.3281773,0.33749285,0.3571057,0.38371858,0.40662244,0.41536412,0.40468714,0.3808961,0.35422024,0.33344558,0.3206366,0.3174512,0.3302935,0.37202942,0.449267,0.5512262,0.6438173,0.6902278,0.67159694,0.6041665,0.52317476,0.46171165,0.43050042,0.42215738,0.42247975,0.42186227,0.4171246,0.40950623,0.4023374,0.40006518,0.40799046,0.43359014,0.48373818,0.5590732,0.6434305,0.70640975,0.7174776,0.66850185,0.57978743,0.48685858,0.41848466,0.38394475,0.37598512,0.38000473,0.38341048,0.3798553,0.37001908,0.3583943,0.34948537,0.34480262,0.3432524,0.3421588,0.33981112,0.33570528,0.329403,0.31820846,0.29711986,0.26415336,0.2235155,0.18585066,0.15952908,0.14670786,0.14242882,0.14111347,0.13942188,0.13711672,0.13514315,0.13401152,0.13336174,0.13206714,0.1297679,0.12689115,0.12403554,0.12238419,0.12640509,0.14611064,0.19127202,0.2612507,0.33852163,0.39695847,0.41870645,0.40399858,0.36725214,0.3222945,0.2768889,0.23429523,0.20218606,0.19040401,0.20406164,0.23513211,0.2660769,0.2813321,0.27719843,0.26145408,0.2449776,0.23549365,0.23760341,0.25350216,0.28236875,0.3167645,0.34722158,0.36616638,0.37406847,0.37590885,0.38053176,0.3986229,0.44134936,0.5114538,0.59192437,0.64694136,0.6426783,0.57642776,0.48764765,0.43310332,0.4472803,0.5162073,0.59201044,0.62738395,0.60558015,0.54254866,0.46919474,0.41127446,0.37897423,0.3692788,0.3727547,0.3804859,0.38704386,0.39079556,0.39245096,0.39328703,0.394219,0.39589036,0.3983474,0.40018657,0.39770493,0.38684627,0.36556455,0.3352109,0.29909018,0.2611126,0.22516173,0.19510119,0.17419721,0.16503406,0.16823357,0.18161005,0.19810237,0.20986885,0.21413302,0.21968322,0.24122114,0.2861921,0.34321252,0.3864938,0.3945376,0.36558262,0.31783143,0.2742506,0.24866076,0.24187426,0.24729557,0.2579306,0.26810548,0.27318794,0.2687714,0.253531,0.23014325,0.20434554,0.18230294,0.16949584,0.17125185,0.18892795,0.216722,0.24023974,0.24630918,0.23086219,0.20133664,0.16895269,0.14611535,0.14927219,0.1988837,0.30335918,0.4412341,0.56128246,0.6149673,0.59039253,0.5250293,0.47669196,0.48418364,0.5407472,0.6046643,0.63163537,0.60457426,0.53906804,0.46568286,0.40851936,0.37628222,0.36536202,0.36780155,0.374113,0.37671566,0.37151623,0.35994098,0.34612247,0.33276996,0.32022634,0.30808935,0.2973906,0.28792837,0.27597198,0.25613436,0.22661127,0.19201304,0.15869929,0.13114566,0.11137863,0.10356779,0.11131233,0.13270791,0.15628612,0.16899098,0.16613375,0.15660216,0.15691473,0.18090029,0.2301801,0.29184356,0.34433362,0.37129495,0.37030086,0.35206947,0.3287007,0.3055924,0.28061655,0.25031242,0.2153375,0.18134873,0.15562457,0.14205988,0.13915055,0.14226346,0.14728183,0.15305942,0.16125584,0.17589875,0.20009963,0.23126864,0.25827196,0.2670504,0.25152007,0.21901907,0.18602502,0.16960143,0.18437117,0.2422901,0.34459773,0.47221076,0.5808646,0.62541014,0.5869772,0.4971619,0.41905192,0.40917575,0.47425833,0.56596285,0.6174217,0.5907591,0.5025688,0.40035674,0.3271176,0.29502425,0.29375586,0.3070562,0.32557827,0.34449235,0.3591794,0.36401045,0.3583221,0.34955904,0.35405385,0.38484275,0.44246808,0.50581676,0.5461831,0.5432291,0.50232786,0.44679797,0.40190792,0.37823248,0.3713449,0.37122056,0.370216,0.3652811,0.35446146,0.33689454,0.31313297,0.28815183,0.27068734,0.2712588,0.29455972,0.33424535,0.3725965,0.39222714,0.3857082,0.36112884,0.33270025,0.31356892,0.30897906,0.32117757,0.35421327,0.4142008,0.5020567,0.60078096,0.6790285,0.7042076,0.6677854,0.5900555,0.5088377,0.45332423,0.4312115,0.43215916,0.44252566,0.45410928,0.46437904,0.47140193,0.47272828,0.4679693,0.46268818,0.46953276,0.5003647,0.5567041,0.6192381,0.6575134,0.6485281,0.59993404,0.5469087,0.5267277,0.549665,0.59017557,0.6107959,0.5864393,0.5221846,0.44097686,0.37045205,0.32554558,0.30825353,0.3106837,0.3239725,0.34112215,0.35718027,0.36686933,0.36546597,0.35033485,0.32426128,0.294185,0.26998603,0.25958058,0.26600382,0.2840159,0.30035704,0.30031922,0.2755308,0.2304885,0.17741978,0.12946336,0.09335953,0.070883684,0.061703984,0.06573987,0.08200003,0.108375214,0.14381486,0.1911843,0.25209004,0.32024035,0.37630233,0.40035108,0.38379464,0.33813956,0.28336984,0.23632663,0.2019506,0.17846991,0.16314228,0.15673606,0.16072775,0.17527127,0.19603384,0.2160297,0.22724146,0.2265466,0.21865231,0.21422125,0.22123973,0.23623228,0.24703975,0.24251586,0.2236128,0.20009007,0.18295777,0.17873167,0.19424723,0.24084942,0.32646862,0.44282255,0.55728775,0.63086224,0.64138323,0.6022102,0.5518455,0.5292308,0.5493102,0.5940356,0.6277194,0.61953306,0.5658943,0.48862603,0.41874015,0.3750448,0.3577293,0.35598764,0.35966328,0.36395922,0.3679951,0.37149385,0.3751351,0.37990305,0.3864855,0.39232424,0.3930929,0.38522434,0.36970082,0.35086378,0.3325328,0.31459144,0.29204592,0.26109496,0.22318809,0.18891995,0.1698398,0.17053723,0.18234639,0.189915,0.18213193,0.16100602,0.14163168,0.14537625,0.18564479,0.25809085,0.33574143,0.3866589,0.39091086,0.35574105,0.3045434,0.26276258,0.24315119,0.24532413,0.25950375,0.27303877,0.2758684,0.26460236,0.24259056,0.21631174,0.19064718,0.16882223,0.15448435,0.15362664,0.16895707,0.19574563,0.22097568,0.23395632,0.23180525,0.22038798,0.2057534,0.19472359,0.19860007,0.23697428,0.323591,0.4493803,0.5737428,0.64587426,0.63685924,0.5639491,0.48260465,0.44954824,0.4859364,0.5612313,0.6212768,0.6253469,0.57500815,0.50201404,0.44159663,0.40794826,0.3940375,0.38546845,0.37408295,0.36170247,0.3538724,0.35374108,0.35804018,0.36055243,0.3550956,0.34085634,0.32074392,0.30066255,0.28395176,0.27207395,0.2631127,0.25524583,0.24558371,0.23258416,0.2151382,0.19457252,0.17278385,0.15171911,0.13118717,0.11030952,0.089165665,0.07293469,0.07192448,0.09953914,0.16106917,0.24671125,0.32857537,0.37746415,0.37774014,0.33857253,0.28187034,0.22932763,0.19053419,0.16713077,0.1579029,0.16364689,0.1836422,0.2117445,0.23598623,0.2449051,0.23583113,0.21607547,0.19818835,0.19160937,0.19926195,0.21688385,0.23592442,0.24750663,0.24670643,0.23438288,0.21613167,0.19985138,0.19334674,0.20038716,0.21684217,0.23082036,0.22916515,0.20680779,0.16916102,0.12939851,0.10152485,0.098287515,0.1262973,0.18258172,0.2514504,0.31204563,0.349149,0.36161384,0.35841456,0.34886062,0.33442602,0.31142923,0.27958292,0.24790193,0.22848636,0.22619717,0.23351073,0.23923455,0.23779981,0.23272298,0.22937287,0.2298639,0.23189116,0.23232538,0.22881877,0.2203756,0.20705539,0.19083267,0.17495573,0.16355765,0.16006982,0.1680517,0.18842913,0.2181319,0.24743418,0.26683733,0.272047,0.26852724,0.26427507,0.2649297,0.269603,0.27377045,0.2718242,0.26067692,0.24248387,0.22378676,0.21151388,0.20827992,0.21261966,0.222184,0.23531978,0.2501595,0.26285857,0.26969686,0.26895937,0.26240364,0.25285235,0.24306135,0.23464411,0.22893067,0.22612007,0.22514956,0.2236572,0.22023122,0.21499687,0.20998894,0.2069332,0.20749938,0.21125221,0.21573347,0.21499963,0.20370616,0.17986958,0.14740229,0.113147296,0.08485707,0.06904288,0.070281364,0.08896681,0.12049011,0.15632872,0.187939,0.20992881,0.22178572,0.22644906,0.2281754,0.22973579,0.23163019,0.2319973,0.2281272,0.21769588,0.20033078,0.17821465,0.15567799,0.137681,0.12801078,0.12768869,0.13393354,0.13976692,0.13701189,0.120530605,0.09269518,0.061271574,0.03485586,0.017303022,0.007930469,0.0036233168,0.0018365239,0.0010818426,0.00075848616,0.0005916594,0.00048654954,0.00041343502,0.00036227948,0.0003218105,0.00028254258,0.00024194346,0.00020122074,0.00016296441,0.0001295097,0.00010214688,8.076509E-05,6.434373E-05,5.214622E-05,4.4137803E-05,3.979486E-05,3.75555E-05,3.52655E-05,3.1892752E-05,2.7650212E-05,2.3563764E-05,2.0115724E-05,1.7353343E-05,1.4930425E-05,1.2730052E-05,1.07188E-05,8.996256E-06,7.6174124E-06,6.5915433E-06,5.8989517E-06,5.466487E-06,5.2333876E-06,5.1095535E-06,5.0661765E-06,5.0991243E-06,5.204581E-06,5.334116E-06,5.4006814E-06,5.3768686E-06,5.260898E-06,5.0804483E-06,4.813854E-06,4.4687135E-06,4.1085827E-06,3.833088E-06,3.715126E-06,3.7304392E-06,3.8658345E-06,4.092772E-06,4.403019E-06,4.6837217E-06,4.84223E-06,4.878226E-06,4.89859E-06,4.9652626E-06,4.9395926E-06,4.6611426E-06,4.061119E-06,3.3127662E-06,2.5860982E-06,2.0191742E-06,1.6649298E-06,1.5941731E-06,1.8074817E-06,2.1775143E-06,2.491187E-06,2.6053822E-06,2.5305862E-06,2.382415E-06,2.2632155E-06,2.219934E-06,2.2470533E-06,2.3211883E-06,2.398792E-06,2.434516E-06,2.4096983E-06,2.3745927E-06,2.4130916E-06,2.5857132E-06,2.8596796E-06,3.1402576E-06,3.311712E-06,3.295465E-06,3.1010586E-06,2.8326724E-06,2.6770106E-06,2.7266278E-06,2.9499226E-06,3.1588725E-06,3.2297332E-06,3.115076E-06,2.9016958E-06,2.6735859E-06,2.5283434E-06,2.5135862E-06,2.6413225E-06,2.8443708E-06,3.020193E-06,3.092154E-06,3.074086E-06,3.0435876E-06,3.0690865E-06,3.1448744E-06,3.234694E-06,3.2981732E-06,3.347359E-06,3.3870674E-06,3.4465918E-06,3.534197E-06,3.6727088E-06,3.875109E-06,4.148991E-06,4.4935928E-06,4.8368747E-06,5.0841263E-06,5.11311E-06,4.9307414E-06,4.6299388E-06,4.41182E-06,4.411207E-06,4.6670752E-06,5.049184E-06,5.3720237E-06,5.489423E-06,5.403E-06,5.221678E-06,5.074496E-06,5.0162907E-06,5.0395915E-06,5.084485E-06,5.0969734E-06,4.986951E-06,4.710752E-06,4.2645356E-06,3.7826878E-06,3.4112518E-06,3.2607013E-06,3.2933365E-06,3.4289824E-06,3.5840158E-06,3.7156626E-06,3.7649233E-06,3.685375E-06,3.4947607E-06,3.3007902E-06,3.2389328E-06,3.3789192E-06,3.6899937E-06,4.06069E-06,4.368932E-06,4.557913E-06,4.668858E-06,4.849266E-06,5.2297196E-06,5.900198E-06,6.779405E-06,7.749319E-06,8.611051E-06,9.284856E-06,9.7226475E-06,9.995086E-06,1.0156725E-05,1.0260821E-05,1.0333121E-05,1.0384032E-05,1.0453157E-05,1.0517356E-05,1.0545781E-05,1.0451393E-05,1.0242699E-05,9.997907E-06,9.836266E-06,9.8227565E-06,9.905856E-06,1.0030711E-05,1.0107139E-05,1.0109564E-05,9.958748E-06,9.631377E-06,9.127835E-06,8.560495E-06,8.08662E-06,7.866546E-06]