[0.25881702,0.25699595,0.25330958,0.25085095,0.2530217,0.26257515,0.27774134,0.29390922,0.3053892,0.30996078,0.30836445,0.302051,0.28948462,0.26716384,0.23477353,0.20000774,0.17505206,0.16610174,0.16649157,0.16283405,0.14967014,0.13608646,0.13912451,0.1674851,0.21553735,0.26597545,0.30396393,0.32190654,0.3212548,0.3052235,0.2789848,0.24927217,0.2252505,0.21370108,0.2160543,0.2294231,0.25104478,0.27877572,0.30936342,0.33605385,0.35350883,0.36058795,0.36171553,0.36057577,0.35808852,0.35196218,0.34069094,0.32426286,0.3043529,0.2821975,0.2580679,0.2317502,0.20525761,0.18381451,0.17297184,0.17551202,0.18914585,0.21005847,0.23256934,0.25218877,0.2642186,0.2673619,0.26170537,0.24841674,0.22786558,0.2011282,0.17124593,0.14220197,0.11709722,0.09657365,0.08053108,0.06921167,0.06297063,0.06007425,0.057275172,0.05348623,0.053597126,0.06647137,0.09759432,0.14251797,0.18794274,0.22041167,0.23516089,0.23845457,0.24143432,0.25167033,0.2683816,0.28493926,0.29437244,0.2942448,0.28659084,0.27638876,0.26796016,0.26407242,0.26453683,0.26781255,0.2713106,0.27302137,0.27080107,0.26362655,0.25274923,0.24478756,0.24874456,0.27026656,0.30419806,0.33761075,0.35780275,0.3616505,0.35510167,0.34757233,0.34444645,0.34503552,0.34416297,0.33663818,0.31960556,0.29365814,0.26146063,0.22721152,0.19610228,0.1739495,0.16645287,0.17509402,0.19566448,0.2169974,0.22889675,0.22660352,0.2150019,0.2025476,0.1961115,0.1969418,0.20284939,0.21292931,0.22855584,0.2513794,0.27813235,0.30250856,0.31874618,0.32683596,0.3296251,0.33011365,0.32802173,0.32259962,0.313386,0.3025835,0.29299125,0.28790236,0.2876545,0.2906862,0.29381332,0.2965066,0.30016413,0.3074368,0.31830487,0.33034018,0.33891746,0.33931103,0.32679674,0.29877508,0.25887415,0.21978436,0.20027424,0.21235423,0.2533697,0.30533406,0.3502253,0.3781947,0.39096436,0.3919755,0.38349256,0.36589685,0.34213492,0.31677285,0.29406345,0.27546504,0.26004353,0.24546997,0.23099083,0.21992445,0.21952097,0.23447019,0.26002637,0.2814316,0.2828921,0.25832108,0.21563788,0.1720047,0.1434217,0.13769196,0.15347381,0.18531196,0.22659774,0.26945516,0.30556533,0.32905436,0.34026074,0.34317577,0.34150353,0.3353596,0.32276198,0.30261597,0.2761354,0.24635245,0.21546394,0.18390994,0.15086739,0.11749167,0.08906623,0.07478111,0.08190743,0.10943735,0.14517494,0.17259932,0.1816992,0.17638636,0.1723551,0.18512486,0.2198968,0.26597336,0.30629316,0.32761633,0.32999802,0.32113186,0.30844066,0.29211333,0.27013507,0.24502783,0.22702675,0.22594553,0.2429574,0.2672613,0.28440502,0.2847676,0.27041057,0.25261152,0.24562271,0.25657386,0.28035387,0.30289504,0.31019655,0.2973514,0.26954716,0.23917703,0.21899581,0.21672499,0.23193307,0.25636736,0.27917227,0.29105005,0.2900324,0.2805828,0.2711408,0.26578042,0.26255906,0.2562398,0.2459975,0.23558791,0.22874665,0.22459705,0.22069526,0.21849374,0.22256778,0.2343347,0.24629049,0.24841617,0.23724528,0.2228843,0.21930198,0.23342521,0.25638708,0.27322915,0.27374473,0.26121438,0.24525793,0.23374666,0.22725494,0.22440644,0.22567838,0.23399644,0.2483651,0.26297912,0.270184,0.26769722,0.25896412,0.24960858,0.24142891,0.23164833,0.21618389,0.19546103,0.17654814,0.16964269,0.17958151,0.20074153,0.21896338,0.22207242,0.20739675,0.18412387,0.16621228,0.16508809,0.18361537,0.2156508,0.25101689,0.28077486,0.30142677,0.3121883,0.31436262,0.30990323,0.3031428,0.29780206,0.29517293,0.2929749,0.28818724,0.2788833,0.26519102,0.24893677,0.23346011,0.22306009,0.2220306,0.23430581,0.262041,0.3042284,0.35396668,0.4003996,0.432569,0.4458443,0.44259036,0.4298266,0.4140571,0.39932618,0.3869731,0.37693587,0.3682046,0.35967734,0.35015956,0.33902356,0.32567212,0.31017822,0.29294237,0.27555394,0.26064178,0.25217807,0.25314593,0.2632304,0.27711505,0.2877812,0.29067135,0.28644374,0.27893987,0.27212438,0.26824868,0.2678729,0.27094617,0.27732164,0.2870425,0.29893342,0.3096985,0.31411403,0.30800375,0.29092464,0.26700917,0.2423694,0.22229064,0.21031748,0.20987658,0.22424604,0.2529337,0.28823572,0.31775418,0.33194783,0.3289894,0.3115414,0.28357705,0.24940611,0.21944489,0.2062322,0.2208339,0.26158985,0.31750432,0.36961293,0.40356374,0.41000962,0.3879005,0.34312323,0.2944093,0.27505508,0.31458268,0.416092,0.5384379,0.62638277,0.644454,0.60646397,0.5502242,0.5096341,0.4904984,0.48317882,0.47637698,0.46723315,0.45736656,0.4478388,0.43820986,0.42765382,0.41715255,0.40780422,0.40017185,0.39456448,0.39257565,0.39726603,0.40663633,0.4117191,0.39674369,0.35381055,0.28758535,0.21625037,0.15619354,0.115670115,0.09315491,0.08649564,0.09847081,0.13554923,0.19856691,0.2750096,0.34243882,0.38265076,0.3915509,0.37852833,0.3551068,0.33057198,0.31068194,0.30129394,0.30433705,0.31601217,0.3269762,0.32917178,0.3209002,0.30660275,0.29318804,0.2845838,0.28154698,0.2812861,0.28276393,0.2861677,0.29331693,0.30162632,0.30552533,0.29902294,0.28267977,0.26382372,0.25230223,0.25463364,0.27136436,0.3014054,0.34084293,0.38250342,0.41019416,0.40806946,0.3694313,0.30656496,0.24379772,0.20390542,0.19501889,0.2077186,0.22616307,0.23955818,0.24866672,0.2586714,0.27181897,0.28493074,0.29562664,0.3080164,0.33002988,0.36679366,0.41575828,0.474187,0.54056746,0.6118364,0.66835284,0.68455034,0.644845,0.5672638,0.4865129,0.4337059,0.41268733,0.41073632,0.41058823,0.40432942,0.39117107,0.3744572,0.3568749,0.34009674,0.32502544,0.31328905,0.30608454,0.3043741,0.30786273,0.31828246,0.33367276,0.34759733,0.34475622,0.31609043,0.26431257,0.20919912,0.17124206,0.16230552,0.1790669,0.20947833,0.24041736,0.26302597,0.27537334,0.2797936,0.28153196,0.2845589,0.2913697,0.3021675,0.31698623,0.3352536,0.35555914,0.37489346,0.39043427,0.40056965,0.4054675,0.40520164,0.399879,0.3890517,0.37377155,0.3557895,0.33872095,0.3252202,0.31676558,0.31160071,0.30756077,0.30275366,0.2967746,0.2885643,0.27659062,0.25993827,0.23953931,0.22015594,0.20962436,0.21965028,0.25511575,0.3100287,0.3635426,0.39834794,0.40820277,0.40321922,0.39463866,0.38964352,0.3876367,0.38544145,0.3778833,0.36002597,0.32904485,0.28742474,0.24246031,0.20325679,0.17588371,0.16112565,0.15482056,0.15431446,0.16518266,0.20693707,0.2970022,0.431926,0.5696297,0.65699583,0.6621674,0.6025884,0.5211007,0.45598364,0.417572,0.39798525,0.38702965,0.38224354,0.38643274,0.39972576,0.41602722,0.4251814,0.42036045,0.40278938,0.3809316,0.36536393,0.3629518,0.37583792,0.39888623,0.42297527,0.43436196,0.42489052,0.39268067,0.34747848,0.30182156,0.26858363,0.25266305,0.25237203,0.26130918,0.27414393,0.28730246,0.29767022,0.30220035,0.3014612,0.30178362,0.3123491,0.3370078,0.37001106,0.3989899,0.41491577,0.41659355,0.40858945,0.3941945,0.37488386,0.35272002,0.3326172,0.3189145,0.31155458,0.30532274,0.29390264,0.27571592,0.2558878,0.24259044,0.23914187,0.24073927,0.23793958,0.22573705,0.20960422,0.20358783,0.2209965,0.26419353,0.32323477,0.38084757,0.42181602,0.43619597,0.4238648,0.39221135,0.35456872,0.3210669,0.2961305,0.27818727,0.2653751,0.2580117,0.25853854,0.26871583,0.28676835,0.3077562,0.3264221,0.34182408,0.35746023,0.37773445,0.4032823,0.43333676,0.47142562,0.52439225,0.5898501,0.64656574,0.66516227,0.6329538,0.5665365,0.4977483,0.44884905,0.42189756,0.40760407,0.39862084,0.39384878,0.39428863,0.3981999,0.40153897,0.4004495,0.39404652,0.38343838,0.3708574,0.35948777,0.3538032,0.35817322,0.36945787,0.37550113,0.35875055,0.3127819,0.24624984,0.17920876,0.12592931,0.0903912,0.0685708,0.057968255,0.06063659,0.07957659,0.113570094,0.15370882,0.18886529,0.21084201,0.21943504,0.21906906,0.21589416,0.2141863,0.21642625,0.22301458,0.23221727,0.24060994,0.24408656,0.24069017,0.23185152,0.22256534,0.21778178,0.2195281,0.22544964,0.23180956,0.236593,0.24084567,0.24626498,0.25279117,0.25862968,0.26207876,0.2630015,0.26149783,0.25726575,0.25131848,0.24904935,0.25967687,0.28634214,0.31917807,0.33579206,0.31977096,0.27210855,0.21309091,0.16500795,0.14003424,0.13541478,0.14053066,0.14504166,0.1430613,0.1334386,0.11682082,0.09673399,0.08003631,0.07680533,0.093428165,0.12768404,0.16830249,0.20311792,0.22641604,0.24141829,0.25625685,0.27773896,0.30775353,0.34189236,0.37358388,0.39780167,0.41454184,0.4258654,0.4334029,0.4366611,0.43570432,0.43129906,0.42397967,0.4119725,0.39419672,0.37398925,0.3589557,0.3539226,0.35329553,0.34493843,0.32060933,0.28582785,0.2532494,0.23246591,0.2231475,0.2214616,0.2253881,0.23579328,0.25158963,0.26967096,0.28583834,0.29754043,0.30234894,0.29953507,0.28966644,0.27570626,0.25980848,0.24294038,0.22439754,0.20427252,0.18479586,0.17004053,0.16367114,0.16498087,0.17002465,0.17542386,0.18253918,0.1949641,0.21278955,0.23146725,0.24489605,0.25085768,0.25010994,0.24528968,0.23858827,0.23292536,0.23061214,0.23278813,0.238497,0.24677002,0.25743914,0.27050802,0.28358427,0.29186738,0.29107654,0.2809688,0.26614606,0.25219348,0.24229252,0.23488475,0.22720115,0.21793841,0.20985867,0.20727192,0.2128734,0.22536151,0.239886,0.2516721,0.2584329,0.26163557,0.2636528,0.26463437,0.26047835,0.24446617,0.21337555,0.17168735,0.1325179,0.10944597,0.110400796,0.13375345,0.1721729,0.21573631,0.25466028,0.28188387,0.29411876,0.29232526,0.27776346,0.25194815,0.21726121,0.1798129,0.1469663,0.1239259,0.110771865,0.104071595,0.099675514,0.09507077,0.089628614,0.08382232,0.07836609,0.073507935,0.069122635,0.06493261,0.060987055,0.057555497,0.05491465,0.053168952,0.0524516,0.053055897,0.05542319,0.059781063,0.06591793,0.07290024,0.079049714,0.08225933,0.08100361,0.07639262,0.07350936,0.08075541,0.104400575,0.14336102,0.18812937,0.22812055,0.26008537,0.28838184,0.31863,0.34887066,0.3731966,0.38612506,0.38933,0.38642547,0.37990153,0.36804655,0.34837472,0.32090643,0.28950426,0.26145163,0.244108,0.24263602,0.25566122,0.2744732,0.28432485,0.27352744,0.24172837,0.20302801,0.17733832,0.17813407,0.2048301,0.24472785,0.28180376,0.30578792,0.31636265,0.3194076,0.31845608,0.3095948,0.28514197,0.24303609,0.19263613,0.1511736,0.13481098,0.14879982,0.18525676,0.22568762,0.252152,0.25578603,0.24254219,0.2282529,0.22768962,0.24534898,0.27110732,0.29033303,0.29133105,0.2756932,0.25378525,0.24146688,0.24816227,0.2723241,0.30026725,0.3163197,0.31303915,0.29618475,0.27850842,0.26950368,0.2683392,0.2659171,0.2530854,0.22885294,0.2027213,0.18913747,0.19724566,0.22417144,0.25706103,0.2838671,0.30065906,0.31152046,0.32046676,0.32724497,0.327464,0.31724444,0.29500446,0.26334068,0.22851443,0.20100851,0.18965612,0.19743334,0.21769328,0.24163531,0.26372996,0.28523803,0.30784443,0.3307525,0.35053813,0.36490464,0.37225732,0.37000296,0.35534072,0.32966676,0.3008535,0.2779882,0.26362097,0.25110295,0.23139651,0.20231444,0.1714568,0.1518761,0.15177657,0.16985767,0.19395332,0.21039449,0.21101415,0.20095511,0.19531822,0.21106933,0.2547145,0.3170909,0.37890756,0.42016196,0.42805636,0.39843333,0.3391968,0.2703945,0.21918698,0.20408553,0.22423042,0.25980023,0.28876314,0.29939952,0.29365715,0.27659562,0.25023443,0.21433134,0.17474155,0.14437495,0.13762136,0.15823683,0.19886859,0.24337137,0.279842,0.3006774,0.30699232,0.3014516,0.29006645,0.27676767,0.26484808,0.25504884,0.24734671,0.24055135,0.23385079,0.2280259,0.22707133,0.23412202,0.24830694,0.2615204,0.26515093,0.25391576,0.23022388,0.1995765,0.16880311,0.14277913,0.12448943,0.11399838,0.10910055,0.10667852,0.104254864,0.10143581,0.10064555,0.107329644,0.127033,0.16082431,0.20141749,0.23636954,0.2556243,0.2585067,0.25089252,0.23844637,0.22129577,0.19915731,0.17605619,0.16173673,0.16336626,0.17976345,0.2000487,0.21110477,0.20642911,0.19105507,0.17817496,0.17907612,0.19531332,0.21858622,0.2390729,0.25254723,0.26081693,0.26630262,0.26867747,0.26666388,0.26102254,0.25508928,0.25175756,0.25193313,0.25414315,0.2569032,0.25974455,0.26367068,0.26861668,0.27147102,0.26584932,0.24579342,0.21053527,0.16693966,0.1272002,0.102033116,0.095542185,0.10460865,0.12520975,0.15461612,0.19056547,0.22505467,0.24825816,0.2535802,0.24458617,0.23030949,0.21990933,0.21793114,0.22473985,0.2382086,0.25362015,0.265704,0.27006766,0.2663435,0.25713992,0.24635367,0.23634641,0.22724004,0.21635914,0.19953094,0.17342855,0.13918479,0.102812886,0.071953066,0.050970644,0.039115064,0.032828297,0.029043868,0.026685981,0.025767632,0.026294127,0.027905807,0.030230751,0.032942336,0.035628226,0.037561905,0.03896045,0.043384228,0.059906293,0.099255115,0.16388367,0.23882394,0.29624858,0.31447637,0.295586,0.264154,0.24651961,0.25336468,0.27996087,0.32237482,0.38343254,0.46493664,0.5514805,0.6158176,0.6358482,0.61520356,0.5763066,0.5436134,0.52528805,0.51613283,0.50699824,0.4947609,0.48196223,0.47276166,0.46803716,0.4653382,0.46119347,0.45454904,0.44639325,0.43895164,0.43463218,0.43726286,0.44939741,0.46911654,0.48773417,0.49656034,0.49374893,0.4862915,0.48209465,0.4827211,0.4828601,0.47509813,0.4546988,0.42091992,0.3783848,0.3362114,0.3046403,0.28901002,0.28821078,0.29785287,0.31609035,0.34267893,0.3760648,0.4081563,0.4274988,0.42162898,0.38484582,0.32032484,0.2438672,0.17700954,0.13955246,0.13834287,0.16655324,0.20752938,0.24570565,0.27279642,0.28888366,0.2967089,0.29716194,0.28976417,0.27653524,0.2637808,0.2579482,0.26115966,0.27051994,0.28430226,0.30344287,0.32821772,0.35066733,0.35866788,0.34624362,0.32220003,0.3051852,0.30935505,0.3348827,0.36781788,0.3927872,0.4021707,0.4005796,0.3965446,0.396243,0.3987019,0.40043902,0.39849517,0.39411804,0.391072,0.39507493,0.41352797,0.45265606,0.5122717,0.5754523,0.6163533,0.61326104,0.57169807,0.5161305,0.47586474,0.4606724,0.46436858,0.4722892,0.47511074,0.47018993,0.46013603,0.44847986,0.43691587,0.42559096,0.41496477,0.4075352,0.40659738,0.41352192,0.42643687,0.43917444,0.44258353,0.42641887,0.38583636,0.32642817,0.26532182,0.22516096,0.22187173,0.25505424,0.3037192,0.33964315,0.3436574,0.31964448,0.28619948,0.26261356,0.25491962,0.2593346,0.26831272,0.27793697,0.2866137,0.29494217,0.30349815,0.31199822,0.31715345,0.3136128,0.29740873,0.26958707,0.23573478,0.20242064,0.17324083,0.14872874,0.1287494,0.115117274,0.109909296,0.111806996,0.114472814,0.11135951,0.10131241,0.08979437,0.0833715,0.08510298,0.09503121,0.11542343,0.1526887,0.21127848,0.2840745,0.3500727,0.38610598,0.38261318,0.35087022,0.31480697,0.29578543,0.30086923,0.3212147,0.34110978,0.3487127,0.34176806,0.32422528,0.30144504,0.27869472,0.2619863,0.25783038,0.26795435,0.28858677,0.31259263,0.34187877,0.38621333,0.45647016,0.5423302,0.61676127,0.64937764,0.63602704,0.5951228,0.5546801,0.5277787,0.51268595,0.4992715,0.481706,0.46043828,0.44095406,0.4279975,0.42274,0.42180791,0.42055285,0.41556898,0.40713048,0.39886352,0.3969725,0.4049534,0.4195913,0.42945293,0.42257276,0.39443818,0.35183206,0.30890742,0.27941343,0.2714382,0.28312853,0.30532777,0.32601318,0.33769178,0.33946654,0.3343469,0.3260062,0.31703994,0.31165978,0.31435382,0.32807776,0.3502824,0.37507126,0.39658013,0.4120398,0.4199959,0.4179567,0.4028125,0.37541747,0.34439325,0.32393262,0.32354584,0.3395327,0.35580453,0.35763264,0.34205845,0.31830874,0.29616192,0.27912232,0.26426455,0.24836123,0.2305996,0.2146759,0.20845646,0.22257467,0.26139256,0.31690475,0.36891875,0.39981398,0.4056562,0.39831814,0.39383194,0.40187576,0.422228,0.44760856,0.46815836,0.47299716,0.45314786,0.40521404,0.33720025,0.26819006,0.22122557,0.21176083,0.24033292,0.2950013,0.35934854,0.42433167,0.4887575,0.55508566,0.61518353,0.65424424,0.65790147,0.6301963,0.58725786,0.5493477,0.5240813,0.50956273,0.49822685,0.48629674,0.47394183,0.4640557,0.4580504,0.45396367,0.4476,0.43583295,0.4192046,0.4021338,0.3907238,0.3913099,0.40529028,0.42797872,0.4472066,0.45389608,0.44585708,0.43143842,0.41801992,0.4077042,0.3936263,0.36957934,0.3349382,0.2977233,0.26667655,0.24639551,0.23461223,0.22762471,0.22278214,0.22075324,0.22255932,0.2287566,0.23700374,0.2445178,0.24947639,0.2531836,0.2566485,0.25893795,0.25736594,0.25201854,0.24654989,0.24463679,0.24548328,0.24310021,0.23250043,0.21270026,0.18863106,0.16444461,0.14280729,0.12439794,0.1145831,0.12358322,0.1596074,0.21992868,0.2874742,0.34476352,0.3814288,0.3990196,0.3977679,0.3776096,0.33992216,0.29790875,0.2723974,0.28117004,0.32638526,0.39055908,0.44910434,0.48404595,0.49402952,0.48698667,0.47225592,0.45467058,0.43749657,0.42405057,0.41802463,0.421608,0.436016,0.4640111,0.50838685,0.5674181,0.6260969,0.6631615,0.66232973,0.62904286,0.5831817,0.5469262,0.52818817,0.5229354,0.5216234,0.5182581,0.51173925,0.5043172,0.49847886,0.49552915,0.49550042,0.49778548,0.50067204,0.5025237,0.50253105,0.50249386,0.50237024,0.49846196,0.48248458,0.4507303,0.40720233,0.3635398,0.32924226,0.30793074,0.29700676,0.2927774,0.29266295,0.29546615,0.30002382,0.304691,0.30758843,0.30697274,0.30132887,0.289673,0.27234235,0.2520524,0.2345513,0.22791153,0.2402945,0.2752777,0.32875085,0.38774094,0.4363011,0.46146086,0.4609381,0.44074392,0.4107395,0.37565187,0.33848453,0.30459413,0.28608748,0.29135975,0.31748536,0.3484718,0.36678985,0.36438194,0.34482586,0.32111648,0.30497777,0.30637714,0.32468817,0.3544828,0.3824587,0.40025285,0.4043981,0.40037426,0.39480126,0.39336845,0.39788198,0.40631938,0.41423357,0.41796127,0.41758594,0.4163768,0.41674635,0.41848692,0.4186089,0.41536036,0.40921628,0.40567395,0.4128604,0.44149575,0.4956522,0.56771713,0.6324877,0.6618915,0.6403944,0.5793436,0.5053799,0.44458225,0.40709677,0.3901424,0.3842987,0.38226023,0.3807758,0.38042986,0.38188133,0.38361228,0.3830373,0.3795735,0.37624088,0.37758073,0.38641426,0.40238893,0.4205116,0.43331262,0.43176505,0.41202167,0.3752174,0.3299298,0.28716657,0.25994954,0.25550064,0.27149895,0.29652545,0.32032597,0.34197274,0.36548987,0.38956735,0.40145478,0.38827315,0.34966502,0.30259,0.26651773,0.2485938,0.24008302,0.22999342,0.21742319,0.21321748,0.22939627,0.27099395,0.33147553,0.39764866,0.45400462,0.49087897,0.505697,0.50232667,0.48633492,0.4633441,0.4392459,0.41921583,0.40502486,0.39215994,0.37260517,0.34053028,0.29902637,0.26049575,0.24186958,0.25079957,0.2782263,0.29936162,0.29462177,0.2631986,0.22680633,0.21000497,0.22461277,0.261169,0.2993517,0.32206354,0.32642207,0.32098624,0.31568682,0.31345415,0.31246284,0.31265292,0.3188107,0.33473793,0.35876083,0.38601586,0.4185427,0.46430445,0.5274593,0.5925312,0.63326794,0.6294846,0.58815736,0.5334824,0.49069908,0.4664371,0.4534942,0.44062135,0.4251447,0.41160128,0.4059895,0.40839127,0.41318548,0.41350067,0.40666148,0.3952577,0.38511053,0.38155174,0.38758814,0.4004602,0.41248056,0.41281673,0.3970187,0.36922774,0.34099197,0.32097316,0.31152478,0.30846915,0.30644497,0.30127224,0.29236495,0.28305605,0.27980745,0.28745142,0.3041735,0.3205622,0.32474077,0.3105632,0.28171885,0.25072023,0.2325601,0.23852986,0.270676,0.31960484,0.36632872,0.39014482,0.3807198,0.34571305,0.3063624,0.28226456,0.2784212,0.2874185,0.29991856,0.31398425,0.3301308,0.346566,0.3562101,0.35451737,0.34203783,0.3248296,0.3092964,0.3015612,0.3076422,0.32957914,0.36144122,0.38768744,0.3960085,0.38524124,0.36869016,0.3609837,0.37033558,0.39284322,0.4174652,0.4299734,0.4211208,0.39102113,0.35024488,0.31324694,0.2906362,0.28612447,0.29821348,0.32281852,0.3548399,0.38992226,0.42981145,0.47809306,0.53470635,0.5852125,0.6123171,0.6062756,0.57714695,0.54157233,0.5121513,0.48910072,0.46842954,0.44852075,0.43243703,0.42405197,0.42352152,0.42675495,0.42744568,0.421808,0.41072452,0.39923808,0.3930626,0.3960674,0.40895346,0.42768887,0.44394818,0.44843373,0.43891588,0.42148826,0.4047356,0.3889215,0.3656412,0.32725504,0.2779388,0.23416285,0.21276861,0.21886666,0.24162823,0.26390675,0.27278665,0.2654835,0.24509841,0.21627925,0.18385082,0.15426797,0.13514435,0.13117313,0.142935,0.16620061,0.19580291,0.22457622,0.24705566,0.25907245,0.26171246,0.25717625,0.24781515,0.23196776,0.20761381,0.17401826,0.13588859,0.10041085,0.0743277,0.05922285,0.05254816,0.049745873,0.04792252,0.047514573,0.05350977,0.0732561,0.111171015,0.1629482,0.21619485,0.25799417,0.2834488,0.29712152,0.30780888,0.3214877,0.33871627,0.35532716,0.36639094,0.3689469,0.3642688,0.3558233,0.34659126,0.3363769,0.32367924,0.30931836,0.2997402,0.30665126,0.34335682,0.4154007,0.5115816,0.60082054,0.64980847,0.64387304,0.59956044,0.54668546,0.5074644,0.48397765,0.4688079,0.45573792,0.44466564,0.4371395,0.43292865,0.42948794,0.4242027,0.4165916,0.40862885,0.4032223,0.40239653,0.40706527,0.41761437,0.43154025,0.44350305,0.44529915,0.43446517,0.4139242,0.39251038,0.37558433,0.3656113,0.3620851,0.3650997,0.37371626,0.3837293,0.38873482,0.3844087,0.3715334,0.35560653,0.34172067,0.33339596,0.3304107,0.33066913,0.33089414,0.33009958,0.33031192,0.33426273,0.34123465,0.3481349,0.35158375,0.3521353,0.35144767,0.3522657,0.35664847,0.36601552,0.3801001,0.39462674,0.40464953,0.4050168,0.39500943,0.37697425,0.3583474,0.34671557,0.34627315,0.35386935,0.36419103,0.37500823,0.38733748,0.40081343,0.40996096,0.41101596,0.40415123,0.39577723,0.3899313,0.3882867,0.3887289,0.3898262,0.3903229,0.38924447,0.38502574,0.3760728,0.3623235,0.34690824,0.3357956,0.3349882,0.3453307,0.36316577,0.3850497,0.41582856,0.46172562,0.519286,0.56549484,0.5747929,0.53803045,0.47331986,0.40765798,0.3593235,0.329528,0.31241056,0.3024068,0.29730487,0.29490766,0.29301634,0.2895224,0.28473234,0.28016388,0.27819768,0.27884102,0.2818457,0.28754306,0.29980513,0.3179619,0.33359167,0.32973883,0.29744202,0.24185686,0.1816396,0.13206635,0.098845266,0.078689,0.06785652,0.065326534,0.0702568,0.07912854,0.084847115,0.082619704,0.07314628,0.063455515,0.060481165,0.06664523,0.0796147,0.097541265,0.123086505,0.16008794,0.20655806,0.25053325,0.27667788,0.277362,0.2603124,0.24348263,0.24248683,0.25903746,0.2831647,0.30384827,0.319212,0.33384904,0.34960416,0.36021113,0.3568268,0.33899605,0.31766677,0.30720285,0.31391412,0.33338046,0.3587178,0.38441196,0.40722468,0.42033395,0.42116615,0.41232356,0.40362418,0.40003386,0.40085432,0.40038967,0.39528337,0.3844204,0.3679228,0.34621668,0.32115492,0.29651585,0.27604735,0.26169494,0.25333658,0.24924119,0.24985544,0.2605377,0.29571941,0.36614886,0.46640912,0.5644323,0.6246497,0.63032776,0.59734386,0.5534541,0.5193607,0.4991314,0.48838064,0.48164892,0.47536027,0.4685681,0.4619398,0.45747146,0.45576683,0.45606422,0.45661092,0.4564953,0.45668373,0.45923674,0.46591052,0.47415602,0.47840214,0.47197083,0.4541341,0.4284316,0.40140155,0.3767253,0.35738584,0.34509304,0.34127203,0.34448949,0.35149634,0.3580587,0.36071715,0.3573068,0.3487366,0.33879003,0.33141923,0.3273671,0.3240881,0.32035288,0.3183227,0.32264015,0.3344575,0.35109437,0.36666396,0.37794355,0.38328052,0.38445508,0.383505,0.3851608,0.39245024,0.40498862,0.41575885,0.41623202,0.40278062,0.3798443,0.35672423,0.3401209,0.33205977,0.32959592,0.33033815,0.33441028,0.3463666,0.36869755,0.39720348,0.41953346,0.42577195,0.41518995,0.39816356,0.3852347,0.38196293,0.38615236,0.39360854,0.39955524,0.40015844,0.39224148,0.37506768,0.35176286,0.32875752,0.3132379,0.30978832,0.31836334,0.3371928,0.3675762,0.41739509,0.49194494,0.5824623,0.6605437,0.69588,0.6769298,0.6208739,0.55717105,0.5081666,0.47908714,0.46525934,0.46036828,0.46054217,0.46257743,0.4633073,0.46015427,0.45294628,0.4435909,0.4350144,0.42892718,0.42642155,0.42762208,0.43156326,0.43157256,0.41690627,0.37733212,0.31425622,0.24020039,0.172713,0.12188167,0.088650666,0.068484984,0.05868986,0.060355503,0.07559526,0.10354602,0.137984,0.17029254,0.19324751,0.20478334,0.2074861,0.2065986,0.2069472,0.21081813,0.21759902,0.22469966,0.22942682,0.23035562,0.22782773,0.22429113,0.22223996,0.22320789,0.22540586,0.22730899,0.22877534,0.23324783,0.24170797,0.25125334,0.2552205,0.2508222,0.24136202,0.23451562,0.23554933,0.24441834,0.25800887,0.27549687,0.3000783,0.3328304,0.3666829,0.3869488,0.38344964,0.3584112,0.32698885,0.30552042,0.302157,0.31110093,0.3168356,0.304482,0.27112862,0.22921447,0.19832905,0.19174998,0.2090108,0.23766322,0.26375738,0.2785578,0.2806933,0.2704852,0.24878831,0.21790268,0.18537231,0.16047496,0.15042222,0.15788908,0.18243577,0.22088385,0.26514032,0.30551222,0.33427703,0.35106695,0.35850033,0.35951877,0.35449544,0.34454438,0.33178937,0.31830087,0.30297616,0.28306723,0.2579244,0.23337401,0.21840002,0.2186106,0.22944252,0.23928607,0.23800634,0.22545879,0.21142025,0.20742248,0.21808429,0.23752773,0.25499606,0.2619295,0.25672588,0.2426029,0.22410752,0.2047251,0.18713163,0.17357637,0.16545099,0.16234195,0.16221952,0.16226421,0.16176333,0.16283911,0.17014639,0.18565436,0.20620406,0.22372301,0.2315891,0.22906332,0.2216738,0.21606773,0.21483491,0.21495597,0.21143799,0.20230442,0.19192933,0.18764563,0.19408374,0.20746253,0.21886288,0.22128654,0.2162676,0.21067931,0.20976019,0.21242279,0.21685976,0.22550355,0.24598844,0.28097424,0.32440853,0.36370218,0.39079273,0.40539074,0.41121963,0.40925193,0.39713737,0.3755192,0.3511902,0.3341774,0.32781133,0.32603833,0.3173702,0.29541817,0.26220262,0.2258633,0.19407491,0.17070806,0.15650547,0.15122277,0.15661938,0.17477293,0.2058518,0.24397254,0.28002182,0.30607322,0.3202509,0.32518026,0.32446483,0.31991497,0.31143284,0.2982051,0.27989686,0.25789773,0.23489343,0.21324313,0.19366902,0.176392,0.16262925,0.15303712,0.14570819,0.13602395,0.12202432,0.10579742,0.09231037,0.0835571,0.07854327,0.0748651,0.07269007,0.075493306,0.088991664,0.11627444,0.15278332,0.1857295,0.20246173,0.19934623,0.18386078,0.16678381,0.15653269,0.1589805,0.17781545,0.21089534,0.24487205,0.26158857,0.24932307,0.21379536,0.17398255,0.14958559,0.14756958,0.15902144,0.16749549,0.161512,0.14231218,0.12252233,0.11615157,0.12952812,0.1564834,0.18499444,0.2050314,0.21496086,0.21916239,0.22373247,0.23188783,0.24222265,0.2501602,0.2513865,0.24607016,0.23787333,0.23080647,0.22537148,0.21983892,0.21251172,0.20332439,0.19295897,0.18187912,0.17059845,0.15978204,0.15017198,0.141737,0.13410771,0.12695864,0.120527,0.11522598,0.111950345,0.112274475,0.11782954,0.12863569,0.14191662,0.15386091,0.16229127,0.16901927,0.17805833,0.19234401,0.21037996,0.22743763,0.23927034,0.24552314,0.248662,0.25107887,0.25313684,0.2544345,0.2549045,0.25490332,0.25411898,0.25206605,0.24895795,0.24629442,0.24513726,0.24563517,0.24694222,0.24928717,0.25283572,0.2573935,0.2610556,0.26251614,0.2614227,0.25897452,0.25623417,0.25403288,0.25272378,0.25224927,0.2517249,0.24891154,0.24078476,0.22419393,0.1977575,0.16313519,0.12568338,0.09246894,0.06882011,0.055942122,0.051278513,0.05130298,0.05337357,0.056254093,0.059153337,0.06132699,0.06186308,0.06095324,0.061771065,0.07181171,0.099429764,0.14656903,0.20341384,0.2519435,0.27737436,0.27674785,0.25920913,0.23756683,0.22276396,0.22107573,0.23553598,0.26367566,0.29769376,0.32672957,0.34339643,0.34641966,0.3382752,0.32217637,0.30105618,0.2808485,0.26844656,0.27151683,0.2925339,0.3291632,0.36984918,0.39939463,0.40291893,0.37482104,0.32020593,0.2536963,0.19382136,0.1554717,0.14589316,0.1647235,0.20761292,0.2666999,0.32912663,0.38103375,0.41394532,0.42988408,0.43602768,0.43835476,0.4383192,0.43569925,0.43138635,0.42729783,0.42502058,0.4244888,0.42449355,0.42362222,0.42165372,0.42008385,0.4208945,0.42480168,0.42998913,0.4336326,0.4338018,0.43048966,0.4251195,0.41871813,0.41230258,0.405367,0.39782652,0.38906297,0.38080743,0.3756057,0.37635556,0.38306853,0.3928344,0.40131202,0.40605363,0.40776324,0.40936962,0.412913,0.41865453,0.4253334,0.43211827,0.43847886,0.44400933,0.44813225,0.45054612,0.45131,0.45028844,0.44737625,0.44287816,0.43788746,0.43340907,0.4298902,0.42737284,0.4259539,0.42564395,0.42601666,0.42606768,0.42383268,0.416037,0.40055385,0.3795664,0.36116898,0.35346028,0.35935017,0.37451336,0.39253303,0.4080551,0.41728017,0.41682196,0.40457177,0.38246188,0.3574579,0.33875588,0.33268818,0.33778238,0.34694612,0.351756,0.34952787,0.3428943,0.3370708,0.3345932,0.33652568,0.3483715,0.38117108,0.4425933,0.522088,0.593026,0.62984806,0.62899953,0.60708356,0.5859106,0.57560176,0.574234,0.57378227,0.5689023,0.5590915,0.5480447,0.5388291,0.5309457,0.52118546,0.50833577,0.4954354,0.4871249,0.4852698,0.48865733,0.4951254,0.5030286,0.5081696,0.5034866,0.4795351,0.4324052,0.36686453,0.30028614,0.25172678,0.23268522,0.23679145,0.24908726,0.25617802,0.25625047,0.25314882,0.25096634,0.25046292,0.25354317,0.2646403,0.28691998,0.3175279,0.3461819,0.3622671,0.3578514,0.33135518,0.28549826,0.23070408,0.1818934,0.15292792,0.1481682,0.16230173,0.18626799,0.21278368,0.23688097,0.25412646,0.2605563,0.25547826,0.24246651,0.22951846,0.22516517,0.23571484,0.26100466,0.2956914,0.33200195,0.3635386,0.38352254,0.3830559,0.35469732,0.30167332,0.24206309,0.20210163,0.20048232,0.23817664,0.29774716,0.35619405,0.3970888,0.4174782,0.42287698,0.420638,0.41537026,0.4097905,0.405516,0.4041877,0.40676796,0.41601384,0.43780148,0.47976837,0.5417661,0.60617644,0.6440061,0.6338134,0.58217716,0.5171269,0.46877,0.44824767,0.44807112,0.45262328,0.45032844,0.43984517,0.4266405,0.41785422,0.41421962,0.41210493,0.406031,0.39529395,0.38278535,0.3750515,0.3775417,0.39198938,0.41211167,0.42678955,0.42634472,0.4102018,0.38555264,0.3621166,0.34527913,0.3356378,0.33006337,0.32447293,0.31470168,0.29804763,0.27436095,0.24716945,0.22269525,0.20776294,0.20607984,0.21710499,0.23556346,0.255001,0.2696261,0.27748707,0.27913904,0.2771495,0.27358887,0.269862,0.26621056,0.2626296,0.26000455,0.26009262,0.26436186,0.27176416,0.27952674,0.2844806,0.28563842,0.28351673,0.28043106,0.27859393,0.28010836,0.28479508,0.29196158,0.3016888,0.31720057,0.33942166,0.36174354,0.36870822,0.3491348,0.3085532,0.27194518,0.26587686,0.30029538,0.36033854,0.4199266,0.45830536,0.4709333,0.46470413,0.44944528,0.4315542,0.414376,0.39928913,0.3863181,0.37199262,0.35398638,0.33572575,0.3344227,0.36894274,0.44563404,0.5401457,0.6138604,0.63611054,0.61039114,0.5626642,0.52241355,0.5000354,0.4910122,0.4859097,0.48234686,0.4840243,0.4945965,0.5116634,0.5265972,0.53087956,0.5220677,0.50578547,0.49120188,0.48507547,0.48842523,0.49578476,0.49832603,0.48733917,0.45923066,0.41566536,0.3620962,0.3061442,0.25801066,0.228483,0.22272897,0.2370705,0.26145595,0.2867007,0.3061032,0.3151993,0.31052637,0.29444024,0.27665892,0.27152848,0.288601,0.32537892,0.36855045,0.40110102,0.41225126,0.40030584,0.372902,0.3418242,0.3178309,0.30495396,0.29821408,0.2874657,0.26512957,0.23416059,0.20719095,0.1966476,0.20355521,0.21592742,0.21983556,0.21169655,0.2034033,0.21327482,0.25309587,0.3175343,0.38944808,0.45037135,0.49160823,0.5106334,0.508293,0.4860872,0.4526068,0.42211744,0.4083222,0.41434595,0.43109694,0.4453244,0.4486686,0.44116426,0.42738637,0.41202012,0.39909503,0.39171925,0.3930818,0.404662,0.42658463,0.45748934,0.49741492,0.5460678,0.59913325,0.64156085,0.6553568,0.6310304,0.5798963,0.5242426,0.48356715,0.46263322,0.45545602,0.45339593,0.45105186,0.44782707,0.4450829,0.44441164,0.44564354,0.44816282,0.45136833,0.454457,0.45655417,0.45727754,0.45774212,0.4561886,0.4457388,0.4154549,0.36034334,0.2869328,0.21135443,0.14867021,0.10510796,0.07862466,0.06487719,0.06359925,0.07682224,0.10501868,0.14154965,0.17664467,0.20224224,0.21794324,0.2281583,0.23773311,0.2476213,0.25571832,0.260161,0.26139772,0.26170346,0.26243412,0.2628381,0.26103568,0.25643656,0.25100616,0.24761099,0.2479613,0.2514911,0.25727677,0.2644154,0.27157387,0.27564475,0.27404296,0.26730084,0.2604269,0.2592221,0.26714227,0.28301656,0.30432263,0.3288178,0.35438135,0.37542495,0.38268304,0.3699071,0.33974695,0.30480477,0.27810884,0.26531842,0.26132533,0.2560954,0.24239726,0.22021848,0.19438295,0.16866434,0.14319335,0.11753806,0.09484131,0.08281433,0.08883026,0.11461673,0.15309776,0.19204862,0.22091945,0.23717664,0.24725957,0.26245108,0.29126075,0.3335366,0.37948015,0.41696683,0.43906322,0.44775474,0.44928762,0.44960403,0.4515427,0.45570353,0.45972857,0.45891258,0.44693196,0.42282617,0.39100626,0.36046338,0.33223844,0.3021783,0.26438597,0.22470798,0.19402485,0.1813215,0.18473859,0.19928747,0.22090703,0.24871755,0.2784867,0.30519304,0.3237758,0.33346963,0.33331257,0.32424322,0.3083717,0.2915337,0.2772455,0.26483575,0.24843363,0.22534736,0.19846399,0.17641573,0.16470106,0.1642706,0.17259663,0.18906106,0.21355587,0.24316847,0.27176943,0.2930056,0.30444044,0.30618504,0.3000176,0.2882366,0.27505505,0.2653753,0.26199016,0.2638676,0.2667925,0.26770115,0.266188,0.26476333,0.26493436,0.26617298,0.26621366,0.2642816,0.2620586,0.26244113,0.26651558,0.2724383,0.2765997,0.27657747,0.27263662,0.26771483,0.26467672,0.26446247,0.264714,0.26262856,0.25618604,0.24614386,0.23276143,0.21584965,0.19344926,0.16571842,0.1355092,0.109891646,0.09652264,0.101192266,0.12408986,0.1605454,0.2018494,0.23876111,0.26369068,0.27379653,0.2712077,0.26137838,0.24931848,0.2372775,0.2250201,0.21188267,0.19866242,0.18721409,0.17954825,0.17658578,0.1782472,0.18328513,0.18953721,0.19474752,0.197535,0.19807136,0.19715445,0.19547077,0.19318597,0.19066292,0.18867172,0.18785863,0.187923,0.18775874,0.18652402,0.1846053,0.18321325,0.18368119,0.18623833,0.19045667,0.19506764,0.19967194,0.20424968,0.20953596,0.2151079,0.22001135,0.22293313,0.22382058,0.22342388,0.2232189,0.22401129,0.22598124,0.22793515,0.22885446,0.22834437,0.22788946,0.22915344,0.23263174,0.23629253,0.23757567,0.23607822,0.23448527,0.23541568,0.23773718,0.23737426,0.23220874,0.22535606,0.22200514,0.22394468,0.22808647,0.23061967,0.23048472,0.22887976,0.22595476,0.220603,0.21264769,0.20508744,0.20258184,0.2076691,0.2184817,0.22960205,0.23634462,0.2372265,0.23427631,0.22991675,0.22545533,0.22127692,0.21861668,0.22011329,0.22838844,0.24501185,0.26886967,0.2961962,0.3205248,0.33616948,0.34130487,0.33890614,0.33349073,0.32741997,0.3206154,0.31235206,0.3039962,0.2983245,0.29874206,0.30600512,0.31881478,0.33308062,0.3458409,0.35453057,0.3593621,0.3602555,0.3589355,0.35648838,0.35537854,0.35568997,0.35697427,0.3567139,0.35488415,0.3518276,0.34953156,0.3477064,0.34629846,0.3442959,0.34193698,0.33901334,0.3356321,0.3311625,0.32414815,0.31306955,0.29789147,0.28149208,0.26825336,0.2630736,0.27110687,0.29714435,0.34175315,0.39676192,0.445902,0.4725498,0.46843863,0.43835962,0.39669788,0.36023736,0.338562,0.32932502,0.32115307,0.3035678,0.27702767,0.2527847,0.24547,0.25980452,0.2870365,0.30704892,0.30352232,0.27381667,0.23417272,0.2072497,0.20782812,0.2331547,0.26743513,0.29368773,0.30209258,0.29384056,0.27707365,0.26218793,0.25359836,0.24676861,0.23243259,0.20745486,0.18218766,0.17386727,0.19240867,0.22968256,0.2657573,0.28248283,0.2746478,0.24910778,0.22039972,0.2040778,0.21089725,0.23926397,0.27490667,0.29856488,0.29730007,0.27161923,0.23491763,0.20911987,0.21274634,0.24915361,0.30051413,0.33881283,0.34476224,0.32013094,0.28451833,0.25928602,0.25464305,0.26379454,0.27084288,0.26156533,0.23525381,0.20518537,0.18974243,0.1982333,0.22449183,0.2543917,0.2777313,0.29544386,0.31360367,0.33661655,0.36214557,0.383301,0.39013696,0.37474537,0.3370776,0.29021406,0.25439563,0.24387868,0.25597072,0.27485773,0.28501233,0.28275016,0.27743566,0.28330743,0.3093522,0.35214475,0.3972979,0.42758194,0.4320146,0.40997246,0.36901486,0.32231224,0.2834001,0.26123187,0.2533535,0.24816763,0.23293193,0.20584047,0.1781155,0.16633983,0.17790104,0.20490001,0.23153718,0.24996966,0.2682108,0.29995427,0.34940132,0.40270826,0.44203606,0.45751393,0.45460942,0.4398725,0.41350606,0.36937955,0.30936262,0.25065264,0.21832748,0.22728811,0.2694961,0.31857482,0.34858188,0.34906414,0.32776484,0.297529,0.26892856,0.25081357,0.2607273,0.3164799,0.41880974,0.5342307,0.61630934,0.6365671,0.60713863,0.5606436,0.5243611,0.5041597,0.4940847,0.48764858,0.48298144,0.48084605,0.481681,0.48474455,0.48846987,0.49128604,0.4931545,0.49440217,0.496434,0.49908164,0.50185674,0.4994869,0.48523304,0.45185748,0.40209594,0.34668052,0.30058315,0.2697191,0.24962486,0.23033996,0.20679732,0.18232344,0.16349405,0.15331252,0.14777736,0.14106126,0.13091417,0.120827496,0.115909316,0.11738389,0.12220609,0.12551492,0.12701508,0.12850927,0.1318276,0.13288958,0.12735848,0.11408109,0.09893706,0.089135915,0.0881216,0.093885094,0.10177065,0.110064544,0.11863371,0.12713118,0.13062513,0.12482669,0.11028611,0.09531801,0.090037555,0.0999004,0.12471741,0.16166349,0.21036632,0.2657558,0.3156083,0.33877167,0.32477137,0.28139248,0.2377205,0.22224909,0.24979399,0.31165126,0.38496652,0.4442203,0.47325054,0.46930048,0.43997696,0.399158,0.36048338,0.33380553,0.3208953,0.31666195,0.31512582,0.3178942,0.3389434,0.39247587,0.4754343,0.55674106,0.597639,0.5807565,0.52498096,0.46695915,0.43306294,0.42669964,0.43552867,0.44619176,0.45039332,0.4465668,0.43625394,0.42384186,0.41291532,0.40711728,0.40732464,0.41314805,0.4212362,0.42811513,0.43180832,0.42984715,0.4178935,0.38682044,0.3338429,0.26458904,0.19579053,0.1408089,0.105810404,0.087908626,0.084248014,0.096250005,0.12876949,0.18265474,0.24746041,0.30338576,0.3326181,0.331853,0.31360316,0.29394755,0.2799369,0.26788092,0.25546515,0.24985369,0.26335096,0.29786968,0.33800864,0.35965025,0.34893408,0.3136487,0.2779657,0.2639772,0.276413,0.30214748,0.3243591,0.33580837,0.34089184,0.3473724,0.3583932,0.37181023,0.38317546,0.3888792,0.3881723,0.3841929,0.38472286,0.3935729,0.4067686,0.41015717,0.39552572,0.36582577,0.3367236,0.3199594,0.31859773,0.32607135,0.33535424,0.3406938,0.33915105,0.32942566,0.31409776,0.29794154,0.2865328,0.28238606,0.28559187,0.29214087,0.2991027,0.30862597,0.33543834,0.39394215,0.48139024,0.5654276,0.6068384,0.5904152,0.5378308,0.48599112,0.45667854,0.44823912,0.44684687,0.443365,0.4366757,0.42979395,0.42441097,0.41997007,0.4158405,0.412456,0.4113672,0.41343746,0.41942146,0.42971364,0.44379985,0.4546909,0.44979772,0.41552174,0.35116658,0.26959118,0.19202454,0.13227247,0.09386606,0.07248142,0.06512645,0.072424926,0.0954155,0.13018836,0.16611157,0.1921429,0.20305729,0.20300005,0.19994652,0.2011692,0.20820285,0.21923994,0.22981052,0.23762731,0.24170923,0.24339454,0.2432357,0.24173616,0.23890315,0.23536219,0.23184204,0.22919387,0.22796686,0.2285494,0.23032911,0.2321357,0.23233151,0.23091148,0.22976856,0.23250966,0.24136,0.25481436,0.26934388,0.28357345,0.30190077,0.32593498,0.34835574,0.35128355,0.32561108,0.2806864,0.24483275,0.24128175,0.27470583,0.32711735,0.37521383,0.40272364,0.406006,0.38808858,0.3541408,0.31174198,0.27166617,0.24636473,0.24480212,0.26797807,0.30819198,0.3501788,0.3793203,0.38673887,0.37519574,0.35370693,0.33262658,0.31663302,0.30568552,0.29750204,0.2908596,0.28578654,0.2826114,0.28154388,0.28242132,0.2847211,0.28740314,0.28968337,0.29130653,0.2921263,0.29135802,0.28796533,0.28195596,0.27482632,0.26888192,0.2653984,0.2640897,0.263211,0.26141372,0.25847515,0.25545704,0.2532165,0.25150147,0.24943717,0.24664515,0.24462445,0.24517971,0.24945982,0.25593117,0.2624959,0.26683015,0.26831636,0.26657447,0.26241323,0.25725257,0.25351888,0.25294915,0.25512514,0.25776184,0.258073,0.25581363,0.2524896,0.25058123,0.25046778,0.25154173,0.252952,0.2554749,0.26061654,0.26889515,0.27901366,0.28786656,0.2932946,0.29415786,0.29132167,0.28565863,0.279151,0.27400446,0.27296045,0.27737305,0.28663746,0.29788935,0.30717686,0.31162927,0.3111026,0.3087604,0.30831453,0.31136182,0.31602788,0.3203424,0.3265156,0.34034893,0.3648847,0.3928274,0.41027084,0.4075397,0.38952902,0.37190208,0.36792192,0.37851644,0.3927714,0.39952305,0.39454925,0.38292873,0.37159753,0.3646754,0.3606144,0.35595477,0.34869358,0.33943942,0.32833737,0.31272018,0.29036865,0.26538938,0.24921499,0.25216138,0.27429327,0.305441,0.33306476,0.3487921,0.34709966,0.32540953,0.2881175,0.25134596,0.23738553,0.25954288,0.31388402,0.3797823,0.436733,0.47135553,0.48455215,0.48212138,0.47132662,0.45319247,0.4252334,0.38598752,0.33978721,0.2964842,0.2644186,0.24833097,0.2492938,0.2692059,0.30797428,0.36014676,0.41170046,0.44407356,0.44098327,0.39648226,0.3191815,0.23024215,0.15474726,0.11155782,0.10708418,0.13477553,0.1787488,0.2210304,0.24962057,0.26331285,0.26762876,0.26758993,0.26286137,0.25278082,0.24140336,0.2378547,0.24752967,0.26730475,0.2894392,0.31059816,0.33182323,0.35116792,0.3592039,0.3480784,0.32013273,0.28810096,0.26324078,0.24886888,0.24098533,0.23547049,0.2314161,0.2318542,0.23937948,0.2529624,0.26427543,0.2629487,0.24400443,0.21639037,0.20015024,0.21535169,0.27117297,0.3612933,0.4681017,0.56586915,0.6288974,0.6421134,0.61165285,0.56204885,0.5197649,0.49775052,0.49242917,0.4934115,0.49275124,0.48787656,0.479282,0.46806192,0.45590305,0.44512892,0.43892428,0.43876743,0.4439598,0.45084247,0.45615265,0.45721436,0.4513429,0.43345988,0.39802626,0.34670725,0.29208454,0.2559434,0.25317243,0.28260064,0.32308206,0.3502526,0.34957063,0.3258896,0.29506218,0.27329174,0.26779267,0.27662227,0.2932562,0.31133914,0.327561,0.34196234,0.3564166,0.3710893,0.3814213,0.37945083,0.35945925,0.3233224,0.28046808,0.24196203,0.21438128,0.19733582,0.18711726,0.18047406,0.17663105,0.17460263,0.17261948,0.1687708,0.16449052,0.1635359,0.16980489,0.18275656,0.19866371,0.21433021,0.23351038,0.26403317,0.30894336,0.35694408,0.38779512,0.38765946,0.36216557,0.33337522,0.3233549,0.33923388,0.36924633,0.39462915,0.40297642,0.3953344,0.37934843,0.36090767,0.34154943,0.3230755,0.31134886,0.31180403,0.32460275,0.3434892,0.3666741,0.4012823,0.45825768,0.5331211,0.60273457,0.6384495,0.6316759,0.59684044,0.55870384,0.5315189,0.5165866,0.50741243,0.4993775,0.49133417,0.4856489,0.48478243,0.4892838,0.49582922,0.49930215,0.49546158,0.4846008,0.47119984,0.46235517,0.4620068,0.46798202,0.47074953,0.45987356,0.42971918,0.3836856,0.33255136,0.29088745,0.27194944,0.2811831,0.31268802,0.35151076,0.38196766,0.39542076,0.3915107,0.37620378,0.35780975,0.34655264,0.3502054,0.37128404,0.40354535,0.43732348,0.4644254,0.4820391,0.48904538,0.4828839,0.4597541,0.41982523,0.37240827,0.33420718,0.31945395,0.32863882,0.34635317,0.35336897,0.34058762,0.31511238,0.29032195,0.2753807,0.26924834,0.26673815,0.26284918,0.25779593,0.2554005,0.264138,0.28961733,0.32976,0.37024942,0.3950908,0.3976804,0.38729095,0.38079372,0.390734,0.41817975,0.45396924,0.48463836,0.49654734,0.47968623,0.43146443,0.361264,0.2898616,0.24091478,0.23126452,0.26320568,0.3269299,0.4038559,0.47865644,0.5437247,0.60092086,0.6481803,0.6763658,0.6738002,0.64244765,0.5980243,0.5599176,0.5364594,0.5246179,0.51691526,0.5089905,0.5005111,0.49299535,0.48742425,0.48326018,0.47881773,0.47240075,0.46347785,0.45359373,0.44638237,0.44616675,0.45364866,0.46312654,0.46373224,0.44789696,0.4169174,0.38061,0.34831643,0.32374442,0.30499354,0.29063174,0.28171375,0.28081492,0.28790584,0.29991952,0.3111509,0.31653872,0.31312895,0.30343926,0.29377577,0.29101798,0.29558444,0.3020755,0.30356064,0.2981932,0.2880361,0.27569726,0.26182404,0.24774337,0.23682137,0.23217286,0.23195577,0.22927292,0.21851474,0.20160367,0.1859947,0.17584734,0.16642316,0.15114297,0.13195552,0.12448908,0.14522344,0.1986893,0.2697738,0.3377558,0.38737488,0.41565084,0.42138863,0.40339425,0.36343583,0.31549802,0.28279865,0.28529552,0.32716063,0.39273784,0.4580666,0.50368404,0.52449244,0.52554244,0.51545584,0.50099915,0.48762906,0.47999915,0.48041475,0.48800853,0.5006624,0.52041525,0.55187345,0.5968184,0.64431804,0.67655164,0.67873573,0.6536045,0.6159751,0.58342,0.56337017,0.5545011,0.55094784,0.5486874,0.54633427,0.5443087,0.54258156,0.5402066,0.53571683,0.52917653,0.5221334,0.5174699,0.5166972,0.5194333,0.52142745,0.5163495,0.49779728,0.46494934,0.42390943,0.38550827,0.35849893,0.3458449,0.34493372,0.3510182,0.35959563,0.3671504,0.37099567,0.36951157,0.36263224,0.35170972,0.338302,0.32302406,0.3053318,0.28549612,0.2669166,0.25758272,0.26739618,0.30166748,0.35512483,0.4110373,0.44952357,0.4578338,0.4379873,0.40219113,0.36313558,0.32567766,0.29173437,0.26773158,0.2658071,0.29079708,0.33177343,0.36552998,0.37468,0.35988057,0.33758172,0.32583055,0.33037388,0.34681174,0.366856,0.38727078,0.40528405,0.41827574,0.42328823,0.42145705,0.41806683,0.41868424,0.42743313,0.44276106,0.45979214,0.469715,0.46569002,0.44419697,0.40770364,0.36391914,0.32436723,0.3017492,0.3021028,0.32120505,0.34553084,0.36924544,0.40015122,0.45323253,0.52242994,0.5779392,0.58495325,0.53976893,0.47154996,0.41883805,0.39837435,0.40055165,0.40692034,0.40776005,0.40644014,0.40844157,0.41414616,0.41787717,0.4159093,0.40987924,0.40581557,0.40851584,0.41857612,0.4327587,0.44529855,0.4499365,0.4402194,0.41272548,0.36890563,0.31739303,0.2718124,0.2448708,0.24098098,0.25307265,0.26977956,0.28508008,0.30240405,0.3258573,0.3509022,0.36308613,0.3507853,0.31630728,0.27710286,0.25035143,0.24000692,0.23581119,0.22873288,0.222263,0.23172455,0.26862508,0.33089283,0.4001876,0.45623994,0.48633865,0.493356,0.48645374,0.4745674,0.4594114,0.44139302,0.4217453,0.40424195,0.38826087,0.3694887,0.343261,0.31181183,0.28323948,0.2666682,0.268497,0.2884792,0.31794372,0.338269,0.3329688,0.30027807,0.25936732,0.23563737,0.24270566,0.27328405,0.30856827,0.33364332,0.3454311,0.34878254,0.3471959,0.3404778,0.32845512,0.31622088,0.3108344,0.31566074,0.32734048,0.3431685,0.36893213,0.41608712,0.48788786,0.565679,0.61851066,0.62391186,0.5880924,0.5377164,0.50006,0.4843336,0.4829123,0.48384044,0.48172903,0.4793947,0.48068047,0.48518142,0.48818484,0.48574206,0.4783397,0.47001794,0.46549106,0.4665015,0.4722222,0.478053,0.47859696,0.46738473,0.442768,0.40756634,0.37019852,0.33835664,0.3170816,0.30659625,0.30409873,0.30502868,0.3058385,0.30676398,0.31185362,0.3246255,0.34175515,0.35272598,0.34635925,0.3200166,0.28216535,0.24865966,0.23557071,0.25268736,0.29742405,0.3534738,0.39665484,0.40811393,0.384957,0.34238926,0.30376968,0.28657338,0.29266396,0.31241497,0.3352265,0.35839477,0.3823043,0.40437254,0.41561803,0.40913406,0.38599268,0.3560867,0.3309513,0.3179232,0.32055512,0.3376592,0.36385837,0.38608143,0.39315295,0.38204774,0.3646749,0.35780218,0.37362024,0.41013095,0.45320007,0.48463008,0.4926335,0.47762513,0.44883057,0.41782662,0.39222202,0.3763955,0.37303662,0.38441274,0.40993094,0.44622052,0.49100065,0.5434552,0.6004961,0.6479358,0.66782427,0.64924747,0.6019223,0.54685396,0.5039409,0.47934172,0.4691364,0.46647134,0.467438,0.4705924,0.47400406,0.47412965,0.46757856,0.45393014,0.43778956,0.42683685,0.42803988,0.44241074,0.4646137,0.48407796,0.49010885,0.4747882,0.43876573,0.3904977,0.34236535,0.30050087,0.26297066,0.22532475,0.19094689,0.1714588,0.1775396,0.20790152,0.24899809,0.28347838,0.2997166,0.2936103,0.2679378,0.22891633,0.18663998,0.15065145,0.13089924,0.13272218,0.15750943,0.19717811,0.23979503,0.27336323,0.29417434,0.30413556,0.3071529,0.30274114,0.2865883,0.25485513,0.21087255,0.16641192,0.13525172,0.12393868,0.12815492,0.13750668,0.14282306,0.13960738,0.12762743,0.11029338,0.09540688,0.093562834,0.11235265,0.15006362,0.19530125,0.23435669,0.25932416,0.27114108,0.27563646,0.27863872,0.2828796,0.2883992,0.29391122,0.2985241,0.30221608,0.30531546,0.3076428,0.30850264,0.30758813,0.30523372,0.304206,0.31121254,0.33996382,0.40142047,0.49321172,0.5866725,0.6458909,0.6477523,0.6051542,0.54819345,0.50589174,0.4851205,0.4803381,0.48183155,0.48472723,0.4870235,0.48784283,0.48700392,0.4846922,0.48190656,0.47906578,0.476058,0.47312605,0.47192273,0.4745201,0.47854114,0.47640705,0.45900068,0.4249039,0.38133523,0.33994427,0.30840707,0.28934944,0.28156924,0.28282174,0.29000282,0.29924574,0.30649137,0.3082199,0.3040727,0.2965503,0.28995192,0.28614226,0.28423724,0.28273633,0.28175393,0.2845235,0.2928625,0.30654895,0.31981874,0.3281599,0.32946515,0.32776144,0.3267916,0.3289785,0.3340547,0.34223798,0.3533626,0.36503828,0.37273172,0.37258697,0.3659797,0.3584663,0.35634184,0.36101294,0.36825013,0.37195492,0.36951637,0.3663356,0.36975834,0.38302135,0.39809132,0.4051526,0.4003435,0.3919351,0.39024675,0.39916575,0.4123867,0.42048064,0.4182159,0.4069934,0.39075443,0.37191308,0.34980428,0.32570723,0.3044741,0.29638216,0.3075606,0.3386031,0.38213432,0.43679836,0.50306374,0.57865626,0.63958234,0.6561885,0.61119574,0.52423793,0.43222526,0.3675901,0.33617124,0.3279597,0.32885933,0.331296,0.33178094,0.32894135,0.32251206,0.31424597,0.30719563,0.30413783,0.30563518,0.3114041,0.32102227,0.33621085,0.35470477,0.3689462,0.3641075,0.33153704,0.27379414,0.20714621,0.14767164,0.10424682,0.07627538,0.06068411,0.056393173,0.062314052,0.07422122,0.0826791,0.08030013,0.066607304,0.05015415,0.040852208,0.043403696,0.05633934,0.07737634,0.10908079,0.15469319,0.21132565,0.26483047,0.2979443,0.3010899,0.28113124,0.2576227,0.25096342,0.26894853,0.30245903,0.3350078,0.35491958,0.36155853,0.35905126,0.3500782,0.33381367,0.31098104,0.2883003,0.27592,0.2818233,0.30433205,0.3370135,0.37011743,0.39729643,0.41164508,0.41300038,0.4064504,0.4028853,0.40775934,0.41935435,0.43018878,0.43408373,0.42766106,0.4096594,0.38051426,0.34308413,0.30389088,0.27097365,0.2511401,0.24505283,0.24544798,0.24245375,0.23578107,0.2458638,0.29976127,0.40608168,0.53104585,0.6221201,0.64281917,0.60422593,0.5442084,0.49880812,0.4774586,0.4722807,0.47139814,0.46970427,0.46705666,0.4647095,0.46323755,0.46264437,0.46290043,0.463863,0.4647915,0.4658238,0.46798554,0.47418332,0.48344794,0.49015558,0.4830307,0.45555058,0.4098532,0.35887682,0.31724894,0.29434264,0.2897903,0.29550424,0.3030484,0.3077999,0.31166607,0.3156893,0.3196092,0.32007274,0.31834114,0.317166,0.3192025,0.32153186,0.32044,0.31573924,0.31210208,0.3141283,0.32239866,0.33403122,0.34633037,0.35616627,0.3610628,0.3577143,0.34833837,0.33794698,0.33422434,0.33851385,0.3471248,0.35234225,0.3503473,0.3424798,0.3334929,0.32651857,0.32113135,0.3161473,0.31302956,0.31801876,0.33661425,0.36852422,0.40363023,0.43023896,0.44175562,0.44167104,0.43689135,0.43322095,0.4321243,0.43202305,0.42885384,0.41801298,0.39802995,0.37327048,0.35236326,0.34304157,0.34695706,0.35822812,0.3649522,0.35782352,0.33995852,0.33452854,0.36871716,0.45085916,0.5499597,0.61882037,0.625228,0.58022004,0.5177053,0.4694885,0.44322267,0.43237546,0.42756382,0.4246583,0.4224325,0.41930154,0.41417336,0.40692678,0.3995649,0.39400002,0.39117578,0.39150763,0.39507666,0.4025896,0.41002488,0.40915036,0.38703987,0.33887395,0.2704533,0.19928503,0.14028141,0.10032475,0.076758765,0.065812625,0.067547776,0.0838283,0.112986796,0.14530651,0.16934876,0.17875557,0.17766523,0.17545755,0.179812,0.19189698,0.20702718,0.22076966,0.23051684,0.23788194,0.24244486,0.24449377,0.24204497,0.23664348,0.22962908,0.22469258,0.22421305,0.2296596,0.23955782,0.25016892,0.25754622,0.2590783,0.25511718,0.24800761,0.24053407,0.23403968,0.22703664,0.22022112,0.21877287,0.23539822,0.27609655,0.333371,0.38234603,0.40281615,0.3905026,0.36063614,0.32885912,0.30230498,0.27844882,0.25504315,0.2338432,0.2185436,0.21099085,0.20928256,0.21104832,0.21488099,0.22201467,0.23415755,0.25146008,0.27381182,0.30283692,0.34728625,0.41291466,0.49441433,0.56657606,0.6039098,0.59751624,0.56455415,0.5295996,0.5081628,0.5000834,0.4982699,0.49619272,0.49065065,0.48177662,0.47207716,0.46600655,0.4657682,0.47070798,0.4769298,0.48127195,0.48261276,0.4820256,0.4814768,0.48006964,0.47431096,0.45871603,0.4326758,0.40089366,0.3714842,0.35003546,0.33766672,0.3328615,0.33203292,0.33255318,0.33197388,0.33124158,0.3308107,0.33111772,0.33030108,0.32862893,0.32829496,0.33212087,0.33984944,0.34758225,0.3516825,0.3509436,0.3473924,0.34388065,0.3428832,0.3465226,0.35423014,0.36402202,0.3712972,0.3750387,0.3754765,0.37596408,0.37536654,0.37178627,0.36101487,0.34455204,0.32668984,0.3155147,0.31555605,0.3267672,0.34365878,0.36055538,0.37658083,0.39430937,0.4156818,0.435625,0.4476401,0.44835082,0.44246414,0.4362433,0.43337432,0.43323812,0.43377933,0.4336705,0.43066606,0.42257524,0.406823,0.38513017,0.36222804,0.34675765,0.34515443,0.35914445,0.38363323,0.41263115,0.4478456,0.49626312,0.5592339,0.61718255,0.6412799,0.6143592,0.54958105,0.47699425,0.42121616,0.3879447,0.3696723,0.3585103,0.34977242,0.3428519,0.33663902,0.33158696,0.32738674,0.32481036,0.32343733,0.3233941,0.32528663,0.3312964,0.34362268,0.35949072,0.36956337,0.35988128,0.32377723,0.2661024,0.20253228,0.14751291,0.109683596,0.091538936,0.09391018,0.11647168,0.15464653,0.1996634,0.24014728,0.26868662,0.28334132,0.2884833,0.2902045,0.29297683,0.29762217,0.30224195,0.30547526,0.30604795,0.30348423,0.29667294,0.2879442,0.28173587,0.2832041,0.29235443,0.3053584,0.3172277,0.3259869,0.3325131,0.3389797,0.3477305,0.35957596,0.37312266,0.38499942,0.3927164,0.39742693,0.40189442,0.40859476,0.41664687,0.42618504,0.43729696,0.4505389,0.46198723,0.4671738,0.463865,0.45630026,0.4506675,0.45109692,0.4554009,0.45777476,0.45226705,0.43736982,0.41632998,0.39457008,0.37618414,0.36208066,0.35245374,0.34885338,0.35324228,0.36629686,0.38783666,0.4230937,0.47726688,0.5455795,0.6039466,0.625086,0.6008823,0.5510445,0.5056724,0.4824443,0.4800814,0.487034,0.49284732,0.49314404,0.48846313,0.48241115,0.47798225,0.47651756,0.47680688,0.47731924,0.4770347,0.4768155,0.47794256,0.4815593,0.48492682,0.48289314,0.4690678,0.4434308,0.41094914,0.38033655,0.35558477,0.3376342,0.32361975,0.31268778,0.30365205,0.29810122,0.29641256,0.2993771,0.3044202,0.3095641,0.31306943,0.31571424,0.31697282,0.31585562,0.31189993,0.30811784,0.3088385,0.31560147,0.32570776,0.33486378,0.34210095,0.3493669,0.35790572,0.36519027,0.3665409,0.36158696,0.35395858,0.35041222,0.35219595,0.35843167,0.36405805,0.36754572,0.36610976,0.3608438,0.35193583,0.34396902,0.34110954,0.3489482,0.3678725,0.39349094,0.4161316,0.42861342,0.4303176,0.42764282,0.42781082,0.43366548,0.4434389,0.45250463,0.45637134,0.45074221,0.43480787,0.41101393,0.38561824,0.36368272,0.3501561,0.34698424,0.35417917,0.36646608,0.38126552,0.4046674,0.44942805,0.517062,0.5848742,0.6187255,0.60030985,0.5437683,0.480716,0.4359729,0.4143164,0.40761554,0.4059863,0.4040667,0.40077826,0.3973643,0.39529383,0.3951217,0.39692223,0.4006221,0.40586662,0.41050684,0.41101408,0.40189925,0.37818417,0.33634102,0.27927202,0.21475399,0.15394147,0.1043201,0.06901749,0.04631585,0.03387182,0.030724928,0.03938427,0.06285945,0.10067266,0.14493316,0.18370788,0.20684044,0.21217947,0.20495306,0.19382244,0.1850285,0.17956789,0.174143,0.16506262,0.15211147,0.13833979,0.12746559,0.12054759,0.11668413,0.114566594,0.11439141,0.116692044,0.121526204,0.12793167,0.13499337,0.14204544,0.14862305,0.15385514,0.15678446,0.156422,0.1523966,0.14509256,0.1362074,0.12800746,0.12241567,0.11988005,0.11959588,0.12013418,0.12003451,0.11791534,0.112463355,0.1028839,0.089203954,0.072640724,0.055108923,0.038850795,0.025511982,0.015946945,0.0098605035,0.0063977228,0.0044296253,0.0032252201,0.0023594473,0.00175001,0.0013561476,0.0012007174]