[0.19466892,0.18978107,0.17874335,0.16505118,0.15417992,0.15172838,0.1599469,0.17484309,0.18853922,0.19423296,0.19234823,0.1884277,0.18740779,0.18685953,0.1808334,0.16729935,0.1537093,0.15009916,0.16018814,0.17765772,0.1932066,0.20127864,0.20145766,0.19428742,0.17958122,0.15754344,0.13195477,0.10975173,0.09954383,0.10614306,0.1284156,0.15781248,0.1850063,0.20406516,0.21567293,0.22220768,0.22499336,0.22342171,0.21837403,0.21197529,0.20553792,0.19602609,0.17965178,0.15504645,0.12799932,0.10727391,0.10286695,0.11935872,0.15509678,0.19927625,0.23880285,0.2633612,0.27181047,0.26774633,0.2563283,0.23929761,0.21729507,0.19062944,0.16234206,0.13711989,0.11987343,0.11212435,0.11211338,0.1171278,0.12722272,0.14380647,0.16631056,0.18928756,0.20576476,0.2107824,0.20355107,0.18538584,0.15916765,0.12941258,0.10324224,0.08885757,0.0932424,0.11761918,0.15553175,0.19360746,0.21988918,0.22963054,0.22717412,0.21881147,0.20861389,0.19761623,0.1872776,0.17964022,0.17572778,0.17449914,0.1743449,0.1745401,0.17552753,0.17758082,0.18043555,0.18275164,0.18313652,0.18070252,0.1760601,0.17084849,0.16680889,0.16469352,0.16371645,0.16188018,0.15657312,0.14608626,0.1308202,0.1142489,0.101483576,0.0958151,0.09564448,0.09453247,0.086511254,0.07037839,0.05205499,0.04044004,0.044017095,0.06507496,0.09880579,0.13313931,0.15635002,0.16187496,0.15170239,0.13107532,0.10551604,0.078428395,0.053344388,0.033199638,0.019868208,0.012671232,0.009682505,0.008769989,0.008698173,0.008829805,0.008860406,0.00855827,0.007819297,0.006781375,0.005839091,0.0054921918,0.00607484,0.0074644783,0.009036089,0.010249247,0.01179292,0.01638432,0.027038546,0.044294804,0.06487136,0.08548143,0.10634609,0.13070296,0.15876614,0.18502821,0.20150071,0.20394246,0.19411863,0.17690313,0.15665956,0.13496111,0.112749614,0.092984706,0.08341071,0.091762036,0.11994457,0.15895191,0.19513144,0.21769501,0.22474007,0.21995358,0.20863628,0.19541962,0.18419673,0.17767918,0.17527997,0.17438917,0.17256506,0.1707836,0.17189299,0.17798524,0.1878091,0.19810045,0.20621954,0.21176897,0.21591662,0.2197168,0.22366457,0.22752936,0.22990651,0.22724016,0.21465187,0.18944353,0.15431388,0.11840723,0.09294502,0.08735359,0.10329313,0.13526283,0.17075191,0.19856763,0.21130534,0.20852233,0.19156063,0.16415831,0.1323402,0.10722306,0.09890876,0.10983946,0.1293133,0.14153065,0.13663211,0.118923314,0.10110285,0.09270629,0.09364215,0.096623816,0.09660462,0.09314123,0.09004121,0.09127236,0.10283896,0.13171962,0.18203394,0.24788465,0.31432495,0.36550152,0.39500666,0.40717617,0.4111743,0.41356933,0.41608784,0.41774726,0.4168925,0.41171727,0.40084472,0.38463032,0.36703834,0.35265753,0.34418675,0.33901656,0.33292472,0.3226085,0.30891442,0.2944871,0.28098297,0.26670468,0.24781789,0.22215079,0.19230448,0.1653871,0.14943928,0.1485849,0.16098303,0.17998432,0.19755124,0.20749927,0.20637144,0.19565749,0.18108572,0.17168532,0.17335314,0.1862572,0.20547628,0.22565942,0.24353051,0.25663915,0.26291716,0.26064762,0.25055292,0.23509543,0.2175764,0.2001503,0.18354096,0.16723251,0.15163146,0.13928808,0.13551593,0.14397049,0.1632755,0.18501395,0.19992577,0.20288937,0.1955833,0.18190128,0.16515833,0.14752834,0.13207653,0.1225711,0.12136481,0.12813158,0.13969369,0.1518386,0.16029738,0.16184689,0.15511805,0.14036869,0.12060701,0.099613726,0.08204805,0.06965984,0.06215405,0.056636494,0.051212106,0.04553458,0.041975666,0.04384272,0.05328979,0.06838995,0.08364787,0.09411133,0.10059768,0.10861165,0.12257862,0.13975517,0.15298998,0.15689242,0.15306425,0.14627542,0.13917851,0.1291402,0.11310574,0.09279582,0.07633818,0.07349318,0.08860428,0.117574364,0.14886302,0.17098169,0.17764913,0.17056654,0.15525742,0.13803865,0.12474352,0.121182166,0.13062085,0.15066008,0.1733618,0.19059192,0.19877423,0.19960904,0.19635592,0.19107038,0.18461633,0.17858978,0.17548437,0.17689745,0.18188621,0.18827838,0.19492246,0.20264523,0.21272796,0.22569841,0.2406956,0.25501156,0.2637924,0.26229194,0.25025478,0.23420753,0.22355498,0.22385867,0.23296046,0.2446114,0.25349876,0.25847447,0.2602889,0.25996378,0.25759336,0.25357917,0.24828519,0.24215305,0.23473483,0.22597043,0.21698637,0.21170662,0.21404736,0.22438967,0.23644768,0.24101709,0.23198025,0.21047796,0.18278404,0.1553689,0.13163312,0.11232155,0.0984956,0.094077826,0.10385311,0.12880479,0.16071121,0.18665624,0.1965786,0.19280933,0.18634199,0.18927729,0.20484672,0.22664452,0.2452293,0.25482357,0.25884202,0.26284334,0.27135968,0.28117868,0.2883424,0.28963903,0.28671885,0.28098848,0.27260908,0.2608929,0.2469932,0.23338425,0.2192803,0.20093723,0.175559,0.14758684,0.1257509,0.117478944,0.12362186,0.1399252,0.15908657,0.17334634,0.17769839,0.17293401,0.16519786,0.15992339,0.15738897,0.15293242,0.14267932,0.12656465,0.10847718,0.09274661,0.08324715,0.082698755,0.09374821,0.115801096,0.14325124,0.16482234,0.17190616,0.16466467,0.1533788,0.1479435,0.15049283,0.15526496,0.15793782,0.1597045,0.16528606,0.17546214,0.18757176,0.19770743,0.20509982,0.20947112,0.21014802,0.2061535,0.19823639,0.18790315,0.1745811,0.15559833,0.13038068,0.10436654,0.088018276,0.08967214,0.1100958,0.14143477,0.17340074,0.19851762,0.21506208,0.22435613,0.22851586,0.22889216,0.2269026,0.2240094,0.22150141,0.21989773,0.21895863,0.21816961,0.2172759,0.21644606,0.21550195,0.2131057,0.20826529,0.20155448,0.19629304,0.19474761,0.1972362,0.20120656,0.20412539,0.20301132,0.19429584,0.1752922,0.14759271,0.119722605,0.10327023,0.10602823,0.12629196,0.15431575,0.17962949,0.19631334,0.20404969,0.20364071,0.19620825,0.18340242,0.16940397,0.15859123,0.15375827,0.15535468,0.16268091,0.17458697,0.18873607,0.2020747,0.21076792,0.21181667,0.20404579,0.19043954,0.1778142,0.17284729,0.17648552,0.1817805,0.17987944,0.1681177,0.1541981,0.14939894,0.15947382,0.17959018,0.20021386,0.21454161,0.22269996,0.22824527,0.23398064,0.23951836,0.24239393,0.2401306,0.2321986,0.22088747,0.2100228,0.2026961,0.19957952,0.19950332,0.20076333,0.20177229,0.20125844,0.19875175,0.19507593,0.19179885,0.190157,0.19068563,0.19354041,0.19825064,0.20291846,0.20379496,0.19728537,0.1824562,0.16259022,0.14292431,0.12744413,0.11671164,0.10906578,0.10265734,0.096506394,0.090062596,0.08272823,0.0742053,0.06493543,0.055869654,0.047791515,0.040796842,0.034648445,0.029554216,0.028623933,0.039186254,0.07255448,0.13522692,0.22266209,0.31516755,0.39119026,0.43638816,0.4527936,0.45007524,0.4402077,0.42981485,0.42153275,0.41466156,0.40695596,0.3958268,0.37912583,0.3573991,0.33373666,0.3131478,0.29955003,0.29461172,0.2975693,0.30659962,0.3200483,0.3362246,0.35297415,0.3659862,0.37096408,0.36537096,0.35216403,0.33672956,0.32461357,0.3169301,0.3132147,0.31133565,0.31032956,0.30782446,0.30328467,0.2972181,0.2925297,0.2903444,0.28970477,0.28778493,0.28247476,0.27362677,0.26273394,0.25254658,0.24535061,0.24243407,0.2430883,0.2458601,0.24943852,0.25320837,0.25582168,0.25437954,0.24655527,0.23421991,0.22418763,0.2232731,0.23231696,0.24558616,0.255803,0.25935233,0.25674376,0.2500024,0.24094832,0.23108463,0.22197463,0.2141906,0.20646572,0.19559775,0.17880867,0.15652184,0.13430332,0.1190503,0.1137611,0.11345592,0.11059356,0.101750754,0.09199653,0.08931675,0.097976424,0.114777364,0.13268478,0.14601596,0.15341519,0.15638721,0.15688242,0.15596767,0.15454389,0.1533462,0.15291733,0.1531343,0.15389423,0.15516019,0.15694624,0.15854679,0.15827112,0.15362431,0.1433763,0.12983651,0.11911937,0.11630005,0.12012416,0.1220733,0.11352757,0.092665285,0.06605687,0.04237479,0.026775114,0.01904624,0.016308412,0.015593625,0.015008698,0.0137216225,0.0116618015,0.00932392,0.0073319315,0.0062051336,0.0067697894,0.01046007,0.019170014,0.033197433,0.05117378,0.070637114,0.09046468,0.10881454,0.12178659,0.12326997,0.111015834,0.09050115,0.0752083,0.07893037,0.107837684,0.15514322,0.20577216,0.2465635,0.27456367,0.2954091,0.31346464,0.32570073,0.32274428,0.29860115,0.25618625,0.20890106,0.17260836,0.1576478,0.16291364,0.17841823,0.19321175,0.20115203,0.20211978,0.19698788,0.18594801,0.16909449,0.1499896,0.13526148,0.13106035,0.13889436,0.15462923,0.17160322,0.18445905,0.19143866,0.19383438,0.19413458,0.19414063,0.1936184,0.19041747,0.18225692,0.16947658,0.15638083,0.14881678,0.1511174,0.16540551,0.1956969,0.24762881,0.32101873,0.39943647,0.4538413,0.46079275,0.42087734,0.3573315,0.29834238,0.25970408,0.24230605,0.23898365,0.24230303,0.24710707,0.2512195,0.25433484,0.25709847,0.25964543,0.26164728,0.26241794,0.2615702,0.25900817,0.25529802,0.2513328,0.24786825,0.24494965,0.24199556,0.23866372,0.23538578,0.2335574,0.23458476,0.23927468,0.24714816,0.2567725,0.26614484,0.2736168,0.27826098,0.28011343,0.2798852,0.27864203,0.27764878,0.27769193,0.27955124,0.28252336,0.28596154,0.28833106,0.2915555,0.2993556,0.3162358,0.33999905,0.36093712,0.36695895,0.35325944,0.32743374,0.30220723,0.28490725,0.2707151,0.2511717,0.22540684,0.20452847,0.20021772,0.21332186,0.2319469,0.2427671,0.23897131,0.22154437,0.19424307,0.16287506,0.13513686,0.1193574,0.11949652,0.13279067,0.15147531,0.16819857,0.17959803,0.18659262,0.19166265,0.19639045,0.20101416,0.20493545,0.2078163,0.20952553,0.21096705,0.21373354,0.2205946,0.23275715,0.24926758,0.2650428,0.2755421,0.27737913,0.27179486,0.2606769,0.24790059,0.23602085,0.22726804,0.22125284,0.21686114,0.2135263,0.2117729,0.21180879,0.21083038,0.20361464,0.1858461,0.1598391,0.13573356,0.12641066,0.13729428,0.16218998,0.1859033,0.1957047,0.18698204,0.16595365,0.14355476,0.13114904,0.13467114,0.15295058,0.17875387,0.20314038,0.21964473,0.22463389,0.21698941,0.19823469,0.17468722,0.15634586,0.15148605,0.1612616,0.17817378,0.1927358,0.19946073,0.20129554,0.20515545,0.21760392,0.23828666,0.26143977,0.2780819,0.2847557,0.2840883,0.28372157,0.28769708,0.2949012,0.30019477,0.30022827,0.29561153,0.28971055,0.28563845,0.284188,0.2846696,0.28592512,0.28695837,0.28661072,0.284587,0.283544,0.29165566,0.3203746,0.3772148,0.45271957,0.5185878,0.5404224,0.5038919,0.42562237,0.34108305,0.2785239,0.2447738,0.23106463,0.22622971,0.22473776,0.22510737,0.22652636,0.22705394,0.22444926,0.21690027,0.20341991,0.18566246,0.17117329,0.17611714,0.21737069,0.29897156,0.3979479,0.4741217,0.4932511,0.45332733,0.38199627,0.3157008,0.27492094,0.2598752,0.2605609,0.26970422,0.2860788,0.31104633,0.34283376,0.3760647,0.40427455,0.42434946,0.43543848,0.43675053,0.42508283,0.3998822,0.36689317,0.33829704,0.32327083,0.32115236,0.3220062,0.31593522,0.30102935,0.28317872,0.2704368,0.26682696,0.27157518,0.28131795,0.2927685,0.30342698,0.3103681,0.3107284,0.3024616,0.28638944,0.26542687,0.24410135,0.22707741,0.21924971,0.22245999,0.23408093,0.24572879,0.25026813,0.24515943,0.23515858,0.2257664,0.2199979,0.21571274,0.20847197,0.19490063,0.175887,0.1576045,0.14791755,0.15131114,0.16547321,0.18342029,0.19873242,0.2086276,0.21351726,0.21415304,0.21104401,0.20536275,0.20015796,0.19830768,0.20020713,0.20270117,0.20296572,0.20069177,0.19804029,0.19531895,0.19005316,0.17905013,0.16247661,0.14513099,0.13477987,0.13770469,0.15535209,0.18251567,0.21121395,0.23413539,0.24790661,0.25113997,0.24306159,0.22295438,0.19185938,0.1543156,0.11805204,0.09204659,0.082880914,0.09099693,0.10937712,0.12542337,0.12817436,0.11396843,0.08861146,0.06181844,0.041229207,0.029016485,0.023358226,0.02142571,0.021067627,0.021522135,0.022855148,0.025695877,0.02985394,0.033941295,0.03551347,0.033305496,0.028387092,0.02434568,0.02552182,0.035711627,0.058502633,0.099241056,0.16609561,0.263872,0.38220748,0.48942408,0.5459673,0.53161144,0.46120963,0.3730602,0.30092353,0.2576849,0.23976038,0.24020922,0.25413963,0.27676022,0.30180898,0.32470325,0.3445932,0.36300114,0.38028598,0.39497504,0.4057962,0.41287544,0.41775826,0.4212705,0.42376685,0.42448425,0.42314652,0.41950357,0.41440403,0.40894246,0.4049553,0.40473065,0.41169217,0.42852357,0.4535314,0.4762871,0.48009416,0.4518695,0.39399087,0.32554305,0.27030322,0.24146153,0.2358666,0.24133588,0.24718177,0.24960516,0.24984556,0.25000867,0.25094184,0.25261474,0.25571015,0.26125494,0.26954612,0.28128755,0.3019596,0.3424925,0.40841445,0.48609558,0.5428501,0.5496072,0.5039904,0.43182328,0.3654119,0.32260537,0.3033317,0.29858127,0.3001909,0.30377376,0.30826247,0.3131568,0.31633413,0.31436923,0.3053843,0.29199848,0.2794914,0.27167192,0.2674406,0.26314172,0.25650263,0.24969973,0.24700446,0.25100684,0.25964233,0.26757714,0.26997077,0.2650294,0.25421354,0.23984508,0.22409743,0.20833097,0.19382097,0.18213409,0.17480554,0.17274104,0.17470716,0.17882705,0.18387407,0.19069712,0.19866031,0.20309015,0.19603424,0.17311864,0.13809864,0.10117963,0.0713711,0.0518077,0.040182963,0.033254523,0.02891931,0.02654677,0.025519373,0.025077984,0.024313113,0.023336366,0.02503932,0.036051244,0.064542,0.11337576,0.17529531,0.23374625,0.27362427,0.28977832,0.2907987,0.2895657,0.2946118,0.3035056,0.3094792,0.30916202,0.3066306,0.307802,0.3129947,0.31844723,0.321623,0.32656738,0.33678046,0.34859863,0.3484542,0.32545474,0.28142515,0.23345838,0.19793122,0.17987446,0.1706534,0.16300572,0.1580224,0.1668544,0.1987399,0.2552973,0.3246245,0.38827118,0.42642543,0.42805755,0.3915356,0.32714614,0.2530931,0.19210239,0.16056925,0.16182972,0.18529893,0.21621414,0.24563116,0.27233884,0.29867497,0.32341614,0.34430432,0.35916957,0.36918652,0.37404025,0.37233424,0.36199096,0.34505057,0.32610875,0.31008807,0.29648042,0.28160194,0.2621977,0.24156316,0.22690777,0.22279577,0.22653408,0.23042132,0.22930484,0.22341567,0.21783213,0.21820807,0.22826551,0.24705386,0.26857582,0.28470376,0.2906682,0.28838155,0.28470442,0.28654727,0.29687965,0.3135444,0.33125436,0.3443271,0.34991086,0.3478333,0.34012756,0.32843313,0.31488326,0.30204192,0.29438686,0.29670462,0.31324506,0.34655198,0.39593208,0.4546148,0.50688815,0.5332721,0.5207087,0.4724159,0.40543136,0.3398875,0.28890046,0.2556613,0.23773678,0.23052083,0.2302618,0.23329955,0.23675798,0.23861451,0.23890857,0.23918976,0.24151768,0.24901204,0.2676015,0.30665267,0.37086606,0.4511958,0.5205788,0.54987186,0.52608716,0.46391103,0.3924848,0.3376616,0.3086543,0.3006641,0.30318668,0.3079462,0.31212828,0.31714237,0.32544136,0.3374779,0.35068002,0.36072823,0.3638724,0.35977373,0.3521081,0.34743765,0.34975836,0.35810974,0.36538252,0.36526486,0.35547248,0.34002843,0.32426855,0.31188014,0.30428103,0.30229032,0.3078748,0.3214651,0.3396496,0.35370192,0.35380217,0.3352988,0.30252656,0.2673835,0.2423222,0.23400517,0.24054869,0.25354865,0.2631565,0.26174307,0.24737476,0.22243518,0.19232774,0.1628896,0.14137542,0.13529496,0.14852758,0.17666309,0.20818953,0.23173088,0.2422365,0.2415046,0.234231,0.22501774,0.21677023,0.21025409,0.20339143,0.19289565,0.17647827,0.15538752,0.13416716,0.11875365,0.1136705,0.11861453,0.12810124,0.13260074,0.12543014,0.106449604,0.08405366,0.0692721,0.07059554,0.08828563,0.11432805,0.13531844,0.14036345,0.12691453,0.10252035,0.0796132,0.069824584,0.078621656,0.10387998,0.13537629,0.15964037,0.16571826,0.15142383,0.12292909,0.091406554,0.06800147,0.061298292,0.07445599,0.103856795,0.13944255,0.17043288,0.19021381,0.19894962,0.20037891,0.19899088,0.19783662,0.1987565,0.20209272,0.20745997,0.21392424,0.221316,0.22918908,0.23624802,0.23868851,0.23207252,0.21436095,0.18846303,0.16150136,0.1405294,0.13075764,0.1336449,0.14819863,0.16924675,0.19004172,0.20439059,0.21043086,0.20971507,0.20520301,0.19888197,0.19100316,0.18107218,0.16992432,0.1625397,0.16683988,0.18916823,0.22884493,0.27726296,0.32219717,0.3522694,0.36143813,0.3496716,0.3234158,0.29227793,0.26458701,0.24493648,0.2342123,0.23257113,0.23895155,0.24992812,0.25973177,0.2626437,0.25668237,0.24484916,0.23568855,0.2398526,0.2611314,0.29047707,0.3086896,0.3039539,0.28030515,0.25403216,0.23626296,0.2276393,0.2228406,0.21929401,0.21725501,0.21642667,0.21596013,0.21697561,0.22256581,0.23265819,0.24102235,0.23930506,0.22641738,0.2159615,0.23146987,0.2914711,0.3894639,0.49224368,0.5575058,0.56483525,0.5261866,0.473783,0.43383655,0.41463223,0.41010174,0.41137877,0.4133986,0.41512704,0.41758576,0.4214059,0.42638576,0.43103012,0.4341172,0.435269,0.43574592,0.4369533,0.43957183,0.4427532,0.44513023,0.4456904,0.44444856,0.442027,0.43921217,0.43660212,0.43492547,0.43506193,0.43780848,0.44252667,0.44633317,0.44418788,0.43165445,0.40714827,0.37333414,0.33492616,0.29702517,0.26408878,0.24039017,0.2295932,0.23063034,0.23733388,0.23927695,0.23128466,0.21437497,0.19548889,0.1783707,0.16318594,0.1476836,0.13223839,0.11965689,0.11251811,0.1105876,0.11061556,0.109156184,0.105606295,0.10361993,0.109645955,0.1270041,0.15222703,0.17402925,0.18308407,0.17843755,0.17189878,0.17658347,0.19912554,0.232545,0.26570687,0.28909114,0.3006594,0.29926983,0.28339043,0.25211665,0.21255183,0.17956667,0.16736586,0.17920636,0.20462155,0.22914137,0.24312526,0.24576233,0.23905182,0.22443922,0.20288043,0.1790185,0.16233401,0.1617986,0.17975022,0.20784108,0.23423927,0.25031474,0.25641418,0.25663328,0.2551464,0.25259376,0.24807541,0.23998445,0.22768748,0.21169811,0.19328572,0.17280619,0.14940025,0.122704126,0.09513564,0.071402386,0.05578956,0.04918885,0.04969694,0.054055974,0.060245264,0.06668798,0.072532184,0.076690376,0.08074159,0.0916901,0.124996394,0.1967712,0.3092439,0.4362409,0.535408,0.5750827,0.56078863,0.5238532,0.49616396,0.48656616,0.48683512,0.4840856,0.4716576,0.45007226,0.4248333,0.40313435,0.38759086,0.3753538,0.36147356,0.34564817,0.33170316,0.32160556,0.31236887,0.29949638,0.28380758,0.27085304,0.2654854,0.2667786,0.2691925,0.26839674,0.26470718,0.2647618,0.27847493,0.31582856,0.37980568,0.45829263,0.5249753,0.5512063,0.5293994,0.47775218,0.42878392,0.40280628,0.4006017,0.4100136,0.42083514,0.428789,0.4332557,0.43419766,0.43234566,0.43000075,0.4298425,0.4333165,0.44036463,0.45198777,0.47321126,0.5109256,0.5660313,0.6230526,0.65340513,0.6305828,0.5527523,0.44601345,0.35101327,0.29687092,0.28892902,0.3105097,0.33853194,0.35663715,0.3615174,0.35932812,0.35818645,0.36215732,0.3697674,0.37673306,0.37952387,0.37770462,0.37339783,0.3690031,0.36562717,0.3629613,0.3608117,0.35885438,0.35668874,0.3532295,0.34833696,0.34314886,0.33963406,0.33943132,0.34261492,0.3485868,0.35523403,0.36035964,0.36006847,0.35112426,0.33250633,0.30995524,0.29349276,0.29074648,0.29859948,0.30480787,0.2979968,0.27809823,0.2569591,0.24844794,0.25756148,0.27729324,0.2951785,0.302269,0.2960346,0.27863702,0.2531869,0.22465946,0.19997025,0.18728222,0.19024283,0.2044208,0.21841402,0.22325368,0.22123422,0.22523056,0.24739842,0.28729174,0.33288237,0.36986157,0.39125302,0.3959211,0.3848221,0.35762134,0.31729433,0.27073413,0.22880566,0.19791542,0.17900908,0.16690016,0.158091,0.15233421,0.15341277,0.16432352,0.18435784,0.20832002,0.22922005,0.24273026,0.24888225,0.25135207,0.25395724,0.2589057,0.266054,0.27410707,0.2816218,0.28751943,0.29142895,0.29325092,0.29400727,0.29495358,0.29722095,0.29953894,0.29901323,0.29323515,0.28354767,0.27449295,0.26905656,0.26478645,0.25481352,0.23604347,0.21405815,0.20116936,0.20572068,0.22597627,0.2520857,0.27453434,0.28954732,0.2977761,0.30396768,0.3168325,0.35151935,0.41646004,0.50087446,0.56668854,0.5759263,0.51759475,0.42303562,0.336053,0.28485444,0.26717746,0.2701336,0.2864752,0.31994626,0.37250185,0.43632874,0.495239,0.53684163,0.55831915,0.5660793,0.5663993,0.5634964,0.5582538,0.5523316,0.5470249,0.54311687,0.54055405,0.53812045,0.5356286,0.5321273,0.5285863,0.52511984,0.5242633,0.5294183,0.54492426,0.56885767,0.58808786,0.58410245,0.54732484,0.49089777,0.4405519,0.41762313,0.42180786,0.4401816,0.45732406,0.4686656,0.47518566,0.48202202,0.49019578,0.49891922,0.5036754,0.5013469,0.49068573,0.4758114,0.46597385,0.47487238,0.5117896,0.57144046,0.62740827,0.6475243,0.6154652,0.5480711,0.48039094,0.44300506,0.44223416,0.46638498,0.49572602,0.51172453,0.49799952,0.4458429,0.36046717,0.26216218,0.17650656,0.1213694,0.100455455,0.10472437,0.119603954,0.1321234,0.13866018,0.14431852,0.15529017,0.16849725,0.17387216,0.1668915,0.1583845,0.16730547,0.2032851,0.2568623,0.30685857,0.33719838,0.3451362,0.3372529,0.31822705,0.28869495,0.24989001,0.21092087,0.1834625,0.17375445,0.17652853,0.18362491,0.19054468,0.19954838,0.21179356,0.22540134,0.23518175,0.23851186,0.23553109,0.22917314,0.22109826,0.21062453,0.1950416,0.17345421,0.1490807,0.12841083,0.11600128,0.11122432,0.10857946,0.103223406,0.09406508,0.084097974,0.07688308,0.07598475,0.08486146,0.10845224,0.14888015,0.20418763,0.2658529,0.32456088,0.36976466,0.3916987,0.38074777,0.33591536,0.27110156,0.21404864,0.19276421,0.21773237,0.27481058,0.33203375,0.36113802,0.35159847,0.3148162,0.26912352,0.22899498,0.1977082,0.17409092,0.15727146,0.14961721,0.15263356,0.1630765,0.1741633,0.17970622,0.17864525,0.17331903,0.16725253,0.16283725,0.16183259,0.16454165,0.16879623,0.16974032,0.16268992,0.14649653,0.12534957,0.10595488,0.093784876,0.09080285,0.0976321,0.116998695,0.15289612,0.2065622,0.27086884,0.33303586,0.38041875,0.4080477,0.42063674,0.43145534,0.45840225,0.5115586,0.5820285,0.6382814,0.6483039,0.6029932,0.5257542,0.45079803,0.4000106,0.37461844,0.36833945,0.378839,0.4074587,0.4503745,0.49505687,0.5276939,0.5419762,0.54223484,0.53629756,0.53022236,0.5258708,0.5243501,0.5258409,0.52948165,0.5321536,0.5315571,0.5277079,0.5238841,0.52315825,0.52693707,0.534482,0.54645294,0.56704307,0.6002143,0.6422215,0.6746996,0.6746843,0.62992704,0.5539002,0.47671616,0.42781842,0.41810128,0.43936732,0.47319588,0.5021877,0.5179351,0.5210976,0.5185031,0.5157046,0.514616,0.51326776,0.50994486,0.5061696,0.5084009,0.5262482,0.5632539,0.6082477,0.6328668,0.61149544,0.54088604,0.44975877,0.37480107,0.33822235,0.3347436,0.34791073,0.36275598,0.3744341,0.38203946,0.3869946,0.39087334,0.39593568,0.40264592,0.40882823,0.4116863,0.4103388,0.40695623,0.40448812,0.4043022,0.4057131,0.4069982,0.4077814,0.40848887,0.40985262,0.410977,0.4104168,0.40755498,0.40316567,0.39909014,0.39521742,0.39112517,0.38501203,0.37764654,0.36911896,0.360471,0.35077882,0.3399299,0.327492,0.3143218,0.30084208,0.2874858,0.2732432,0.25782675,0.24174578,0.22747152,0.21674919,0.2100413,0.20524456,0.19903146,0.18801646,0.17238986,0.15732282,0.15100111,0.15809377,0.17562568,0.19492775,0.20818697,0.21329285,0.21304506,0.21148656,0.21059932,0.21043019,0.20985891,0.20885698,0.20796372,0.20863347,0.21052592,0.21236356,0.21185382,0.20834748,0.202455,0.19633476,0.19260313,0.19402051,0.2016719,0.21389689,0.22625065,0.23428504,0.23584525,0.2324267,0.22706342,0.2224345,0.21875526,0.21510743,0.21040411,0.2048056,0.1983195,0.19021384,0.17931335,0.16591217,0.1522761,0.14100026,0.13320065,0.12808608,0.12450812,0.12130395,0.117984235,0.11424234,0.111103155,0.1094293,0.10933069,0.10887467,0.105937175,0.09912416,0.08840985,0.07445078,0.05850917,0.04273374,0.02936499,0.019942649,0.014297246,0.011601607,0.010822919,0.011487854,0.012984615,0.014797982,0.016345037,0.01742276,0.01789791,0.017854432,0.017929219,0.019691719,0.025224915,0.034668963,0.045112092,0.05123732,0.0503405,0.044205863,0.038456354,0.038002525,0.046106234,0.064681195,0.09393569,0.13054492,0.16733278,0.19755854,0.2171542,0.224437,0.21738815,0.19619429,0.1669529,0.14115952,0.12781495,0.12584774,0.12609129,0.12006516,0.108152844,0.09683069,0.09234786,0.09451878,0.09907704,0.100946516,0.098567806,0.094127126,0.09366187,0.10274807,0.122574426,0.14585121,0.1619686,0.16415958,0.156123,0.14718683,0.14384902,0.14380515,0.13998033,0.12766181,0.108983,0.09379703,0.10002923,0.15059204,0.2560902,0.3961823,0.51676816,0.5656868,0.5296505,0.4458773,0.36648682,0.3228308,0.31238952,0.3183464,0.32770237,0.33758473,0.34825882,0.35891378,0.36699083,0.3711356,0.37147173,0.36932692,0.36591497,0.3623459,0.35956228,0.3583652,0.358711,0.3593278,0.35800973,0.35312986,0.34478673,0.33512735,0.32716218,0.3227067,0.32077357,0.3172926,0.3086389,0.2943351,0.27906585,0.26835856,0.26579446,0.2699146,0.27686965,0.28231144,0.28456685,0.28452793,0.28504193,0.287389,0.2913542,0.29510677,0.29975498,0.30699405,0.3186929,0.3321574,0.34328446,0.347801,0.34490022,0.33606032,0.32428822,0.31220487,0.3015872,0.29310977,0.2868916,0.28306887,0.28213716,0.28434193,0.28856635,0.29215738,0.29220602,0.28763303,0.27999496,0.2726163,0.26857904,0.2689029,0.27213883,0.2751356,0.2752794,0.2715088,0.26483643,0.2565737,0.24787532,0.23907046,0.23117469,0.22653711,0.22969706,0.244561,0.2704916,0.29860178,0.31575894,0.3126301,0.29091567,0.2608417,0.2330813,0.21249054,0.19890064,0.19136448,0.18930598,0.19047952,0.1896518,0.18155402,0.165029,0.14487793,0.12887646,0.12425878,0.1331379,0.1522985,0.17334737,0.18894462,0.1956567,0.19644402,0.1960897,0.19898658,0.20663823,0.21825612,0.23037441,0.23857735,0.24016298,0.23649134,0.23139793,0.22808309,0.22663845,0.22574206,0.22447957,0.22347404,0.22265573,0.21999806,0.21186064,0.19695093,0.17884289,0.16554122,0.16299027,0.17090972,0.18226247,0.19245975,0.20210564,0.21756876,0.23985498,0.26627287,0.29029942,0.31059408,0.32688728,0.34020424,0.3495169,0.3545282,0.35587266,0.35475633,0.35209832,0.34773004,0.34131762,0.3329688,0.32388282,0.3155218,0.30872867,0.3066504,0.31783858,0.35729852,0.4311171,0.52383566,0.5933164,0.60087633,0.5359448,0.42918992,0.3231891,0.24867906,0.20986702,0.19852181,0.20306756,0.21471821,0.22382922,0.22310983,0.20970261,0.18902935,0.17026396,0.16413666,0.17760624,0.21525802,0.27853405,0.3669398,0.47064582,0.5650043,0.6140928,0.5935461,0.5109808,0.4054303,0.31974402,0.27532303,0.26743612,0.2791365,0.2954944,0.30734965,0.31226048,0.31165776,0.3097508,0.30828378,0.30646014,0.30249336,0.29820573,0.29765025,0.3046792,0.31819078,0.3343265,0.34782198,0.35582376,0.35717118,0.35253772,0.3441734,0.33539245,0.33146477,0.33627692,0.35085216,0.3685825,0.37869322,0.3706242,0.34221825,0.30027154,0.25683954,0.22152692,0.19774611,0.18405056,0.17857508,0.18235542,0.19687533,0.2227407,0.25573984,0.2901292,0.31582257,0.32509577,0.3149859,0.29493475,0.27918485,0.27775225,0.2879108,0.30043364,0.30830404,0.31194547,0.31484857,0.31957325,0.32574716,0.33242208,0.33779106,0.33906496,0.33141926,0.31233367,0.28506586,0.2620246,0.2567323,0.2746537,0.30265793,0.3174902,0.30073366,0.25630736,0.20606185,0.17274843,0.1620316,0.1617651,0.15668286,0.14203227,0.12710463,0.12435224,0.13929887,0.16542782,0.19099037,0.20634003,0.20919017,0.20205694,0.18892361,0.1735547,0.16005069,0.1528713,0.1538829,0.1608954,0.1686055,0.17269047,0.17212711,0.16868912,0.16490437,0.16260271,0.16274226,0.16544344,0.1701923,0.17638505,0.18356292,0.19051586,0.1938464,0.18811977,0.169707,0.14018826,0.10685582,0.07744518,0.056125984,0.042357594,0.033860087,0.028712863,0.02592609,0.025424024,0.02788134,0.034389157,0.045673158,0.061845344,0.08381557,0.11221399,0.14652808,0.18209855,0.21382944,0.23761117,0.25381437,0.26266938,0.26549748,0.26212946,0.25641063,0.25240266,0.25640467,0.26958117,0.28986728,0.3102338,0.32539526,0.3332512,0.33573392,0.33571565,0.33491325,0.33365652,0.33116484,0.3268127,0.3205038,0.31336835,0.30682874,0.30157506,0.29629138,0.28864226,0.27731207,0.26387173,0.25173318,0.24358647,0.23952918,0.23795258,0.2374794,0.23768507,0.2382832,0.23791677,0.23490237,0.22850372,0.22001882,0.2116519,0.20480305,0.19915055,0.19314396,0.18553782,0.17586054,0.16728832,0.16939192,0.2010823,0.27864727,0.39817575,0.52156496,0.5962806,0.59094113,0.5215289,0.43597946,0.37742868,0.3588047,0.36737224,0.38502732,0.40106416,0.41262186,0.41936076,0.42149457,0.41989923,0.41663054,0.41345277,0.41138992,0.41034007,0.4102664,0.41098747,0.41249344,0.41436473,0.41620052,0.4176158,0.41815388,0.41681647,0.4116706,0.40058005,0.38259092,0.35896263,0.33308998,0.3086597,0.2893044,0.27825025,0.27865157,0.2908274,0.3101476,0.32738245,0.3334501,0.32438326,0.30298066,0.27662137,0.25353092,0.24158101,0.24706388,0.27297464,0.31380716,0.35458398,0.37697783,0.36989558,0.33713356,0.29300937,0.25447488,0.23047918,0.22135116,0.21925186,0.21465445,0.19972269,0.17417216,0.14602667,0.12876512,0.13275842,0.15803193,0.1929252,0.21979181,0.22621508,0.21257494,0.19287556,0.18257593,0.18745996,0.19893968,0.20527701,0.20122944,0.19160627,0.18218213,0.17497839,0.16774721,0.16015656,0.15398292,0.15163577,0.15292661,0.1566792,0.16242306,0.17024891,0.17854124,0.1825711,0.17757855,0.16220933,0.14061986,0.11947913,0.10420463,0.0961968,0.09344554,0.092821606,0.09203724,0.09072462,0.0905912,0.095231704,0.10872034,0.13215983,0.16187043,0.18994111,0.20975874,0.21833332,0.2170686,0.20825176,0.19481607,0.17989743,0.16739167,0.16088581,0.16226725,0.17096843,0.18319668,0.19431181,0.20073332,0.20243265,0.20115076,0.19856103,0.19437699,0.18736164,0.1777369,0.16781946,0.16028374,0.15407258,0.14458443,0.12809609,0.10778424,0.09435197,0.099549554,0.12797266,0.17368013,0.22465599,0.270723,0.30728546,0.33448544,0.35327387,0.36480817,0.3702992,0.37150678,0.36959457,0.365324,0.35961103,0.35412607,0.3502159,0.34781036,0.34530297,0.34120038,0.33725777,0.3409213,0.36578313,0.42287412,0.5083029,0.5939637,0.64113456,0.62542164,0.557583,0.47311214,0.40716124,0.37255505,0.36261895,0.36357966,0.36638317,0.3677714,0.36840633,0.3701401,0.37343016,0.37587145,0.37158036,0.35560107,0.32982016,0.30840385,0.31626233,0.3715957,0.46740222,0.56132835,0.60419756,0.5729352,0.492383,0.40901485,0.35779014,0.34141174,0.34364888,0.348363,0.3494537,0.34756318,0.34390274,0.33867964,0.3315244,0.32367864,0.31705225,0.31382474,0.31396464,0.31587258,0.31696883,0.31594244,0.31308174,0.30942115,0.30494717,0.2973849,0.28315738,0.26045504,0.231649,0.20383073,0.1846292,0.17933623,0.18748985,0.20586558,0.22898401,0.25299284,0.27361736,0.28849947,0.2960563,0.29796764,0.29677525,0.29609445,0.29871956,0.30822757,0.32520366,0.34723076,0.36679125,0.37841308,0.3801496,0.37563923,0.36798784,0.3570727,0.33889005,0.31030372,0.27463385,0.24253125,0.22586262,0.22895281,0.24506445,0.26230147,0.27164224,0.2715323,0.26490548,0.25562122,0.24614167,0.23828183,0.23268421,0.22853023,0.2238336,0.21743517,0.21004991,0.20363301,0.19994026,0.19967496,0.20185262,0.20319687,0.19838464,0.18283756,0.15615289,0.12361195,0.09298679,0.07020397,0.05633427,0.0493459,0.04653406,0.046907727,0.05093865,0.060724933,0.07967895,0.10982275,0.14876454,0.18733072,0.21610445,0.23051219,0.23472786,0.23517554,0.23653726,0.23911178,0.24174859,0.24316174,0.24270873,0.24015546,0.2361239,0.23193552,0.22906916,0.22821264,0.22922353,0.23156656,0.23442961,0.23690534,0.23814265,0.23814256,0.23715971,0.23398751,0.22584927,0.21013975,0.18849312,0.16581737,0.14770009,0.13637002,0.13218151,0.13676377,0.15282544,0.18096048,0.21478587,0.24485512,0.2637837,0.27234432,0.2770722,0.28613085,0.30431047,0.3306618,0.35910812,0.38132334,0.3918077,0.39014128,0.38025233,0.36690363,0.35334036,0.341025,0.330519,0.32245955,0.31685305,0.31268415,0.3078333,0.30112556,0.29384243,0.28904644,0.28920856,0.29424098,0.30344346,0.3173984,0.3370547,0.36011043,0.37938145,0.3882543,0.38527492,0.37600407,0.36683393,0.3614086,0.3590453,0.35818684,0.3580532,0.3592501,0.36213687,0.36595324,0.36924863,0.3712124,0.372582,0.373791,0.37566563,0.3819832,0.4042125,0.45183945,0.5196955,0.57946867,0.6029625,0.5833538,0.544851,0.5152657,0.5084366,0.5173466,0.53107435,0.5415808,0.54706305,0.5478015,0.54581803,0.5434256,0.54193664,0.5408415,0.5387811,0.5353895,0.5318647,0.5297243,0.52915806,0.5291461,0.52886814,0.5289869,0.5305032,0.53372675,0.53742343,0.5404406,0.54177,0.541248,0.53843594,0.5338667,0.5282838,0.5230048,0.5178508,0.5120937,0.50413173,0.4932592,0.47884932,0.4619389,0.44417945,0.4274018,0.4088479,0.38303828,0.34462774,0.29734156,0.25064266,0.2157213,0.195664,0.18759196,0.18475753,0.18242194,0.17840482,0.17313604,0.1678232,0.16312598,0.15883541,0.15480839,0.15208559,0.15397723,0.16441375,0.18542415,0.2135156,0.24135005,0.2621024,0.2748253,0.2840961,0.2958055,0.3119912,0.32974276,0.3439031,0.35159597,0.35359314,0.35303685,0.35202205,0.35102525,0.34933043,0.3468219,0.34400734,0.3415567,0.33858082,0.33155885,0.3148639,0.28495562,0.24410361,0.20160048,0.16841544,0.15266824,0.15687078,0.17896318,0.21267824,0.24781251,0.2745659,0.28696445,0.2850395,0.2694508,0.24156414,0.20561862,0.17483722,0.16453047,0.18249859,0.21980156,0.25947794,0.28767118,0.30210486,0.30594647,0.30065703,0.2838136,0.25376025,0.2146327,0.17455734,0.14196168,0.12094959,0.11260995,0.116804756,0.13577347,0.17442416,0.23999663,0.334222,0.44569898,0.54569167,0.60408473,0.6084712,0.5753898,0.53414655,0.50709474,0.49830294,0.50151306,0.509227,0.51710725,0.5235129,0.5280138,0.5321235,0.53676873,0.54248786,0.54808235,0.5526697,0.55560684,0.55673605,0.55600303,0.5537007,0.5511232,0.55043864,0.55329686,0.5592315,0.5653029,0.56837726,0.5679765,0.56819445,0.5770324,0.6038673,0.650693,0.7053738,0.73909646,0.7262309,0.6624448,0.5757087,0.5030745,0.46816042,0.4664961,0.47979304,0.49108598,0.4950832,0.49440548,0.49441922,0.4982644,0.5059578,0.5147336,0.521903,0.5273685,0.5348076,0.5506522,0.5792237,0.61666113,0.6458523,0.6435194,0.59703827,0.5189199,0.44139874,0.39326158,0.38174292,0.39346063,0.41045213,0.42219737,0.42698452,0.4274428,0.42610118,0.4239507,0.42048764,0.4148029,0.4077802,0.4016631,0.39997172,0.40400395,0.412408,0.42060986,0.42415562,0.42105743,0.41312805,0.4041638,0.3975213,0.39452675,0.3957183,0.40093407,0.41005144,0.4207112,0.43014792,0.43520603,0.43491384,0.4296545,0.4209833,0.41133365,0.40281948,0.39853036,0.3994145,0.4050969,0.4098719,0.4072365,0.39177057,0.3656088,0.33548057,0.309682,0.29226056,0.28386244,0.2820035,0.28328624,0.28338587,0.2804003,0.27584088,0.2737064,0.2759998,0.28046954,0.28293929,0.2809306,0.2757028,0.26996276,0.26525667,0.26066262,0.25283262,0.23871632,0.21711965,0.19170742,0.16823845,0.15310192,0.14996298,0.16049214,0.18288149,0.21147533,0.23798066,0.25570586,0.26303196,0.2622126,0.2557047,0.24317344,0.2239929,0.2009605,0.18224354,0.17483146,0.1783291,0.18434726,0.18650764,0.18755037,0.19646843,0.21834385,0.2487256,0.27911106,0.30381915,0.32328573,0.33899996,0.35108104,0.35785905,0.3597021,0.3585849,0.35662925,0.35311672,0.3459251,0.33274552,0.3130194,0.28649125,0.25440475,0.22055256,0.19347046,0.18230869,0.19196422,0.21869667,0.25391805,0.28851554,0.31753805,0.33907545,0.3556566,0.3741733,0.40745488,0.46320048,0.5335837,0.587976,0.5948274,0.5438935,0.46012178,0.38041338,0.32987854,0.3088839,0.30746022,0.32010093,0.34968174,0.39809763,0.4576441,0.51307124,0.5517445,0.57045984,0.5752397,0.57319635,0.56958073,0.5656211,0.56239915,0.5603186,0.56003803,0.56072575,0.56067294,0.5585732,0.5545994,0.55068797,0.5485645,0.5504939,0.5594215,0.5790446,0.6075502,0.633919,0.64059895,0.6172939,0.5701282,0.5195257,0.48442766,0.47185075,0.4757538,0.48666656,0.49747875,0.5057995,0.5115274,0.5159877,0.5202963,0.52465934,0.52721643,0.525582,0.5189742,0.5118831,0.5146942,0.53822374,0.5821817,0.62703454,0.6445711,0.62015086,0.5685902,0.5214337,0.5019231,0.50940114,0.5275378,0.53886324,0.53153235,0.49849442,0.43993363,0.36788705,0.30370542,0.2645971,0.25311342,0.2586718,0.2693543,0.27866068,0.28512773,0.28807727,0.28786027,0.2856224,0.28367534,0.28288245,0.28395215,0.28700182,0.2923318,0.29855943,0.3023815,0.2998757,0.28866443,0.2725154,0.2600193,0.26108938,0.27681842,0.2993734,0.31642655,0.3214678,0.31522024,0.3031911,0.29184008,0.2853663,0.2850046,0.28646496,0.28546593,0.27898428,0.26940078,0.25931183,0.25287685,0.25225198,0.25897035,0.26860002,0.2734507,0.2638265,0.23617242,0.19384535,0.14859256,0.11470971,0.10460176,0.12179235,0.15951143,0.20381175,0.24219273,0.26976418,0.28893557,0.30247006,0.30789408,0.29872012,0.2730145,0.23884846,0.21077217,0.1970015,0.1932509,0.18827955,0.17840584,0.17096323,0.1753797,0.18982852,0.20241596,0.20348613,0.19538844,0.18777281,0.1850815,0.1828121,0.1744981,0.16141163,0.15226367,0.1561328,0.17478378,0.20119953,0.22377706,0.23446251,0.23415585,0.23078376,0.23053522,0.23111671,0.2253782,0.2098336,0.1913541,0.18152283,0.18861158,0.21029447,0.2364697,0.25493884,0.25730845,0.2420217,0.21443278,0.18674089,0.1721433,0.17879088,0.20363748,0.23614998,0.2654002,0.2860764,0.29994056,0.31490386,0.34631363,0.4058975,0.49009252,0.5695297,0.61127836,0.601507,0.5604315,0.51904625,0.4978787,0.49566984,0.5026727,0.51135546,0.5202852,0.5297486,0.53898567,0.5470043,0.5534442,0.558543,0.5617996,0.5627262,0.5618355,0.5608879,0.5612404,0.5627265,0.5642381,0.5651702,0.5659683,0.5670447,0.56805867,0.5679857,0.56699735,0.56811357,0.57776886,0.60107225,0.6343248,0.66063577,0.6593742,0.6220305,0.56241727,0.50602007,0.47286972,0.4652876,0.47402358,0.4872359,0.4991064,0.5083101,0.5167894,0.52567923,0.5351078,0.5435131,0.54923177,0.5520573,0.5543134,0.5612425,0.5786438,0.607538,0.6389876,0.65324956,0.632575,0.57440823,0.49908888,0.43485454,0.4008201,0.39584264,0.4070003,0.42141715,0.4330009,0.44073704,0.44412506,0.44324672,0.4387212,0.43332434,0.42919064,0.42747632,0.42756402,0.4285871,0.43024996,0.43199173,0.4337093,0.43510953,0.43726444,0.4403012,0.44235745,0.43996873,0.43068564,0.41619745,0.40044594,0.38853428,0.3832117,0.38558555,0.39395317,0.4052677,0.41536912,0.42096022,0.42068687,0.4161215,0.41038206,0.40648398,0.40373433,0.39854243,0.3855102,0.36355188,0.33567774,0.3082756,0.28563857,0.26962063,0.25987598,0.25553668,0.2554813,0.25790146,0.26118374,0.26348853,0.26351514,0.25893915,0.24693733,0.22464614,0.19235362,0.15486217,0.1204411,0.09673705,0.08789956,0.094263345,0.11406157,0.14357902,0.17727686,0.20824385,0.23136391,0.24467778,0.2492358,0.24659818,0.2383418,0.22577779,0.21057059,0.19332819,0.17448205,0.1537369,0.13278939,0.11415583,0.102781706,0.10080051,0.105920546,0.10924798,0.10334971,0.088609345,0.0751375,0.07585358,0.09644529,0.13243742,0.1704011,0.1985222,0.21091817,0.21100791,0.20454814,0.196882,0.18960424,0.18244225,0.17352818,0.16191724,0.14981489,0.14273714,0.14518924,0.1550359,0.16389678,0.1636582,0.15337904,0.13871922,0.1269219,0.12227517,0.12566864,0.13434018,0.14284019,0.14587303,0.14341454,0.14086775,0.14372866,0.15062836,0.15441698,0.14915185,0.13685954,0.12655349,0.12582892,0.13423161,0.14167164,0.1379406,0.119786136,0.094359525,0.07122587,0.057126805,0.05385578,0.062447876,0.08297449,0.11256367,0.14236496,0.1616918,0.1635328,0.14995225,0.13032609,0.11732996,0.12107869,0.14501931,0.1837545,0.22498865,0.2566565,0.27392098,0.28070426,0.28427246,0.28852856,0.29336968,0.29707816,0.30026266,0.30416775,0.309671,0.31524155,0.3191581,0.31979582,0.31605282,0.30530116,0.28467962,0.25453883,0.22199406,0.19957344,0.196822,0.21410723,0.24093433,0.26544496,0.28098255,0.29170236,0.30859926,0.34661546,0.4123684,0.49621165,0.56779575,0.5968984,0.573726,0.5209308,0.47300223,0.45356813,0.4617807,0.4824032,0.50046057,0.51013166,0.51366085,0.51524603,0.5171544,0.5184879,0.5177438,0.51471794,0.511642,0.5110583,0.51428324,0.52014893,0.5267678,0.53232867,0.5359647,0.5371736,0.5361604,0.5340626,0.5325256,0.5325989,0.5339342,0.53548414,0.53663474,0.5376826,0.53909177,0.54110605,0.54244375,0.54057765,0.53046334,0.5084315,0.47369203,0.4320415,0.39076164,0.35458028,0.32130715,0.28685656,0.25150526,0.22190756,0.2051696,0.20214461,0.20741199,0.21466005,0.22064888,0.22479689,0.22648568,0.22476602,0.21919937,0.21117122,0.20315208,0.19809836,0.19778675,0.20233816,0.20959203,0.21693529,0.22257107,0.2268068,0.23090583,0.2361394,0.24267586,0.24967627,0.25597522,0.26087657,0.26438203,0.2660555,0.26407453,0.25528818,0.23731093,0.21086365,0.18086277,0.15414603,0.13601519,0.1271288,0.124639966,0.124510385,0.12468108,0.12485751,0.12582481,0.12743609,0.12888227,0.12907867,0.1281624,0.12694937,0.12666816,0.12816887,0.13186438,0.13669856,0.13970415,0.13846071,0.13466348,0.1357903,0.14961125,0.1777895,0.21256869,0.2424835,0.259837,0.26406932,0.25871518,0.24573998,0.22711915,0.20731288,0.19698995,0.20399939,0.22765394,0.2537836,0.26733795,0.2612615,0.24596067,0.24148552,0.2708523,0.34391657,0.45044014,0.5557584,0.62115186,0.6268335,0.5887024,0.5416565,0.5144642,0.5120155,0.5231082,0.53425866,0.5393439,0.5391829,0.5380811,0.53995603,0.5451219,0.550746,0.5533019,0.55255836,0.55055124,0.5499405,0.5507538,0.5518446,0.5514938,0.54958624,0.5468464,0.5446901,0.54373235,0.5430457,0.5407551,0.53705144,0.53763866,0.5524914,0.58663064,0.6299986,0.6575636,0.6468213,0.597277,0.5336459,0.4867054,0.4711672,0.48051,0.49853197,0.5138483,0.52315956,0.52807045,0.52977306,0.52917254,0.5273835,0.52691054,0.5295922,0.5357886,0.5454165,0.5617767,0.5909987,0.6339547,0.6762731,0.6910653,0.6578712,0.5822649,0.49442992,0.42763773,0.39589027,0.39234206,0.40085372,0.41039118,0.41665152,0.42112124,0.42540517,0.43047896,0.43498766,0.4374257,0.43814424,0.4391347,0.44353983,0.45182958,0.4627914,0.47256967,0.4785416,0.47998753,0.47897097,0.4784528,0.47977856,0.48247948,0.4840488,0.48239997,0.47670445,0.46827462,0.4599893,0.4539379,0.4510963,0.45037448,0.45111167,0.4526211,0.4546398,0.45687708,0.45825586,0.45710504,0.44839752,0.42822734,0.3952799,0.35652134,0.32087454,0.29599464,0.28244397,0.27749613,0.27672085,0.27626285,0.27202633,0.26159355,0.2463566,0.23220114,0.22606842,0.23113114,0.2444895,0.25914147,0.26887763,0.27170298,0.27026308,0.2689537,0.27069548,0.2754059,0.28111798,0.28608748,0.29017538,0.29358292,0.29545465,0.29196468,0.2783496,0.2512203,0.2128297,0.17036407,0.13310461,0.106468044,0.09054262,0.08198208,0.07913565,0.08357853,0.09734573,0.118644424,0.14069314,0.15696543,0.16468732,0.16643631,0.16433151,0.1593215,0.15080495,0.14190151,0.1384144,0.14668173,0.1679983,0.19773732,0.22816348,0.25400186,0.27473,0.29131755,0.30097345,0.29715672,0.2767537,0.24608737,0.21784715,0.20063269,0.19335085,0.18952286,0.18531643,0.18251319,0.18521261,0.19620018,0.21543492,0.24017942,0.26646855,0.29178643,0.31903157,0.35695696,0.4127132,0.48089036,0.5375743,0.55504405,0.5219773,0.45667806,0.39077517,0.3472577,0.32721508,0.32102767,0.3236282,0.3385217,0.3702614,0.4134166,0.4562422,0.48657537,0.5021503,0.50709057,0.5087976,0.51110995,0.51483345,0.5190087,0.52262443,0.52554125,0.5272835,0.52831596,0.5285082,0.5283399,0.52719,0.52572674,0.526215,0.5347619,0.5574346,0.59362346,0.6283935,0.63782316,0.60584515,0.5407724,0.4710393,0.4247667,0.41115746,0.42132032,0.44047582,0.45900884,0.47371182,0.48594025,0.49815822,0.5118523,0.5248774,0.5316393,0.5270428,0.5108412,0.49135578,0.48273507,0.4981359,0.5387798,0.58738166,0.6167533,0.6072256,0.56441206,0.51225156,0.47642902,0.46571472,0.47390628,0.48712894,0.4924194,0.48050213,0.44977525,0.40806723,0.36883783,0.34155655,0.32706106,0.32016042,0.31684723,0.3158331,0.3161005,0.31577006,0.31330767,0.3097706,0.30609956,0.30264023,0.29905346,0.29688385,0.2979497,0.3017701,0.30365214,0.2966615,0.2765037,0.24628174,0.21751668,0.20319913,0.20869832,0.22658366,0.24381308,0.2516258,0.25194916,0.251775,0.25592294,0.26131526,0.26238343,0.25627354,0.24845672,0.24556531,0.25010136,0.25668883,0.25958785,0.2579523,0.2560575,0.25794503,0.26357564,0.2694589,0.27124047,0.26553616,0.2508969,0.22844362,0.2025284,0.17943639,0.16327636,0.15345067,0.14527525,0.13609834,0.12854354,0.12999268,0.14600348,0.17483342,0.20712276,0.23187955,0.24486019,0.24898309,0.24955519,0.24683638,0.2394421,0.2291544,0.22426337,0.23085016,0.24636841,0.2588644,0.25832924,0.24421902,0.22663464,0.21662198,0.21942103,0.2321818,0.24837776,0.26187435,0.26893553,0.2688326,0.26327586,0.2559267,0.24950445,0.24302272,0.23156364,0.21171688,0.18823737,0.17389773,0.1800972,0.20718254,0.24341293,0.27502847,0.29415563,0.30235863,0.30442598,0.3052032,0.3045125,0.3004466,0.29047373,0.27710783,0.26436913,0.256453,0.25257638,0.25018522,0.24857636,0.25514415,0.28647518,0.3550823,0.45436677,0.54937595,0.6016925,0.595617,0.5533504,0.51114696,0.49340832,0.49997544,0.51795053,0.5360767,0.5499888,0.5590927,0.5628291,0.56052923,0.5531569,0.54358506,0.53617877,0.53426874,0.53884506,0.54745746,0.5564787,0.5628541,0.56539166,0.5636688,0.5578758,0.5492446,0.5404852,0.534698,0.53414124,0.54075354,0.55796504,0.5887253,0.6292104,0.6625061,0.66581494,0.62703055,0.5595135,0.49469057,0.46082053,0.46432495,0.4909356,0.52015376,0.5386222,0.5444839,0.54283327,0.5401118,0.53901845,0.538878,0.5378306,0.5364147,0.53749806,0.54519325,0.56399417,0.59581536,0.63553506,0.6653715,0.66386175,0.6198694,0.5470049,0.47330007,0.42447436,0.4068365,0.41240135,0.42795336,0.44518778,0.45981935,0.46974316,0.4736972,0.47122672,0.46421775,0.4548793,0.44735637,0.4441352,0.4468588,0.4529504,0.4591926,0.46275172,0.46356472,0.4630139,0.4622101,0.46195185,0.46177447,0.46117342,0.45910797,0.45497224,0.4487764,0.44102907,0.4338516,0.42970762,0.43055388,0.4348278,0.43826786,0.43692017,0.43034545,0.4221135,0.41577244,0.41143134,0.4039121,0.386803,0.3580033,0.32332197,0.29265913,0.2732176,0.26496342,0.26325265,0.26307103,0.26185676,0.25856197,0.25329807,0.24757595,0.24414776,0.2451287,0.24974895,0.25502527,0.25796688,0.25746134,0.25283208,0.24238062,0.22467746,0.20200014,0.18176126,0.17162997,0.173809,0.18210317,0.18690372,0.18173556,0.16733146,0.14967652,0.13394095,0.12164564,0.11144764,0.10464325,0.10523795,0.116808556,0.13739192,0.16087632,0.18140316,0.19704552,0.20887065,0.21839736,0.22602399,0.23112756,0.23268427,0.2300058,0.22333312,0.2139454,0.20353888,0.19304614,0.18190233,0.16820525,0.150954,0.13229911,0.11838818,0.11545375,0.12540223,0.14291595,0.15970103,0.169082,0.17022175,0.16551822,0.1587507,0.15190636,0.14571695,0.13912524,0.13167727,0.12511583,0.12367636,0.13038728,0.14351332,0.15745433,0.16703089,0.1711287,0.17164187,0.17105813,0.17052478,0.1701714,0.16951449,0.16827618,0.16681617,0.16617131,0.16719134,0.170922,0.17967199,0.19828524,0.22965236,0.27078724,0.3100908,0.33502057,0.3379008,0.31994608,0.28766063,0.24985869,0.21525164,0.18905272,0.17208944,0.1618535,0.15847631,0.1650003,0.1840152,0.21189277,0.2410727,0.26494458,0.28292975,0.2973841,0.31061506,0.32176846,0.33030513,0.3378056,0.34903052,0.3669692,0.38992175,0.41111073,0.42476153,0.42954075,0.42907497,0.42736283,0.42651376,0.42606708,0.4239602,0.41753483,0.40439793,0.38489237,0.3620038,0.34043118,0.32457414,0.32037994,0.3386686,0.38892326,0.46814632,0.55011535,0.6014037,0.6035219,0.56960505,0.5284719,0.5026508,0.49498954,0.4969988,0.5012818,0.50705606,0.5164489,0.52912384,0.5411008,0.54794407,0.548251,0.5442428,0.53924316,0.5351746,0.5322059,0.53026515,0.5302591,0.53359324,0.5405808,0.5497402,0.558311,0.5638371,0.56483203,0.56133705,0.55468136,0.54735136,0.54194194,0.53994167,0.5404651,0.5404887,0.536051,0.5251953,0.5082714,0.48730147,0.46317443,0.4363196,0.4084396,0.38194692,0.35857728,0.33637428,0.31463218,0.29445663,0.28063747,0.2751926,0.2769517,0.2810372,0.283018,0.28065655,0.27468204,0.26822022,0.2638869,0.26289654,0.26334882,0.26378,0.26351354,0.2639086,0.26378742,0.25944257,0.24645753,0.22648762,0.20806462,0.20246191,0.21485822,0.24110217,0.27042267,0.29306749,0.30510738,0.30859485,0.30805933,0.3067114,0.3053298,0.30265138,0.2983581,0.294508,0.2948309,0.3004872,0.30609503,0.30269316,0.28346267,0.25131074,0.2152374,0.1845453,0.16124366,0.14239909,0.12495675,0.109403074,0.09806777,0.09161743,0.08832223,0.08570829,0.08292144,0.08152848,0.08517704,0.09796839,0.12266648,0.15825145,0.19994952,0.24040993,0.27385306,0.2978331,0.31372058,0.32341382,0.32819307,0.3285041,0.3258109,0.32141677,0.3149687,0.30492917,0.2928381,0.28635666,0.29560092,0.32695982,0.38031766,0.45107245,0.52922606,0.59491736,0.62300867,0.59992236,0.5405157,0.48139802,0.45546174,0.4695483,0.50591433,0.54009914,0.5574228,0.55611056,0.54262424,0.52408844,0.50595737,0.4903077,0.47888207,0.4728314,0.4734901,0.47951722,0.48761,0.4938201,0.49685037,0.49816796,0.50023717,0.5035238,0.5064478,0.50716335,0.50618404,0.50692123,0.5149366,0.53657126,0.57284564,0.61493945,0.6418841,0.63609487,0.5966179,0.5463009,0.51285356,0.510502,0.53079623,0.55441034,0.5663431,0.5626828,0.54869676,0.5315767,0.517869,0.510584,0.5097999,0.5122106,0.514122,0.5146978,0.5188565,0.5346701,0.56493324,0.59843045,0.6127408,0.5901194,0.53473,0.4715267,0.4286777,0.4180961,0.43313816,0.4574957,0.4777062,0.48681653,0.48577335,0.47859362,0.47048855,0.46409643,0.46124414,0.46304473,0.4700123,0.4807998,0.49168137,0.49930188,0.5019703,0.5010994,0.4988853,0.49683085,0.49464217,0.4910915,0.4855989,0.47895923,0.47264662,0.46791175,0.46452475,0.4619932,0.4590018,0.45493492,0.44904426,0.44142595,0.43250585,0.42267308,0.41337612,0.4051887,0.3981253,0.38604736,0.36138335,0.31748557,0.25936714,0.19895528,0.1506468,0.119905055,0.10506287,0.10012848,0.100877374,0.10621912,0.11894044,0.14456798,0.18582912,0.23750512,0.28613958,0.31980523,0.336853,0.34556696,0.3545313,0.36527064,0.37461758,0.38136294,0.3884529,0.39905632,0.41157684,0.42121086,0.42457995,0.42352355,0.42262986,0.42321607,0.42161706,0.4118727,0.39369035,0.37434256,0.36601916,0.37669075,0.40445945,0.43820512,0.46518388,0.47747758,0.47330046,0.45323062,0.4212586,0.38540718,0.35926017,0.3514838,0.3618265,0.37946883,0.39475918,0.40324065,0.40721226,0.40985343,0.41326544,0.4169576,0.4190687,0.41687784,0.40883446,0.39455748,0.37611166,0.35785338,0.34589243,0.3449634,0.35440627,0.3693894,0.38384986,0.39541313,0.4031647,0.4059045,0.40039858,0.38589442,0.36654416,0.35173115,0.3507094,0.36921656,0.40904215,0.46731877,0.53478724,0.5903127,0.61097413,0.58406585,0.52326024,0.45733118,0.41443172,0.40263268,0.4141209,0.4347777,0.4560615,0.4755079,0.49321923,0.5084799,0.51900005,0.5227326,0.5184316,0.507208,0.49204192,0.47727564,0.46562448,0.45733508,0.45082137,0.44628462,0.44592467,0.4519813,0.46253455,0.47234046,0.47723207,0.48002133,0.49152508,0.52365214,0.57714516,0.63298124,0.6603206,0.6385752,0.57594955,0.5043347,0.4554216,0.44023648,0.44873822,0.46361125,0.4727509,0.47315887,0.46848723,0.46495602,0.4682318,0.4806434,0.500675,0.52228415,0.5379744,0.54343724,0.5434616,0.54989266,0.57035947,0.5961578,0.6064177,0.5870494,0.54720086,0.5107961,0.49587142,0.50092417,0.5132673,0.5214556,0.51935893,0.50232583,0.46660563,0.41462806,0.35687244,0.30642655,0.27087808,0.24914585,0.23541842,0.22351949,0.2094181,0.19058555,0.16670956,0.14076963,0.11918067,0.10907405,0.1138402,0.13098194,0.15328495,0.17368436,0.18841572,0.19777435,0.20345397,0.20701307,0.20914601,0.21028793,0.21042962,0.2094589,0.2073754,0.20468609,0.20172001,0.19845842,0.19452494,0.19019604,0.1860608,0.18287605,0.1803133,0.17719895,0.17140669,0.1618672,0.14993732,0.14009042,0.13684882,0.14145768,0.15066822,0.15983067,0.16625053,0.17025743,0.17329335,0.17627971,0.17908414,0.181301,0.18239778,0.18205841,0.18006001,0.17704417,0.17458223,0.1751244,0.18057431,0.19125126,0.20539679,0.2202639,0.23335485,0.24329202,0.24970084,0.25273645,0.25270274,0.24956924,0.24323912,0.23358262,0.22191913,0.21016578,0.20044915,0.19204302,0.18270333,0.16951756,0.15306558,0.1369532,0.12759969,0.12941313,0.14269215,0.16159622,0.17861323,0.1882215,0.19032522,0.18795268,0.18451007,0.18157811,0.17897557,0.17626739,0.1732261,0.17049746,0.16841976,0.16626309,0.16104746,0.148726,0.1276862,0.102052785,0.0815104,0.074850924,0.084230006,0.1028674,0.12147138,0.13369542,0.13961895,0.14199795,0.14344501,0.1444567,0.14489798,0.1447504,0.1444744,0.14432001,0.14434831,0.14433466,0.14424054,0.14385319,0.14327343,0.14284289,0.14379735,0.14729184,0.15365726,0.16155134,0.16909696,0.17524709,0.1803494,0.18496363,0.18857102,0.18958871,0.18698485,0.18140334,0.17511775,0.1700686,0.16677688,0.16399853,0.16056113,0.15619464,0.15211602,0.14954418,0.14920385,0.15063976,0.15303035,0.15520275,0.15621954,0.15532404,0.15261744,0.1489218,0.14565583,0.14396751,0.14420646,0.14600307,0.148544,0.15143226,0.15402879,0.1557114,0.15552945,0.15370065,0.1513774,0.15008701,0.15000625,0.15013196,0.15163189,0.16238862,0.19912748,0.2754711,0.38580918,0.49407372,0.55537635,0.5465395,0.48763525,0.4215529,0.38266143,0.37650016,0.3889158,0.4042227,0.41484526,0.42089963,0.42458537,0.42775917,0.43142715,0.4352781,0.43930534,0.4421104,0.4438914,0.44473282,0.44676232,0.45079517,0.45593193,0.45934615,0.45827854,0.4531004,0.44564047,0.43890336,0.4338088,0.43063828,0.42889318,0.42840925,0.42921385,0.43077156,0.43236145,0.43324837,0.4333298,0.43340588,0.43333074,0.4334631,0.4329904,0.4315777,0.42427257,0.40193805,0.35465297,0.28195873,0.19798923,0.12351345,0.07336768,0.047369182,0.036406532,0.030801607,0.026534492,0.023318043,0.021723354,0.02149749,0.021776797,0.021824332,0.021317737,0.020398827,0.019394713,0.018575462,0.018674536,0.020960515,0.027486803,0.038489815,0.052358974,0.06480836,0.07364475,0.0785366,0.082558215,0.08768756,0.095293425,0.104456834,0.11413299,0.12285748,0.13006069,0.1357689,0.14050587,0.14454342,0.14775108,0.14993776,0.15108055,0.15156673,0.1520924,0.15380837,0.15754837,0.16312252,0.16892272,0.1731034,0.17477572,0.17421877,0.1720507,0.16856016,0.16437344,0.16068546,0.15925552,0.16080977,0.16493444,0.16980177,0.17354792,0.17435652,0.17151858,0.16545098,0.15841895,0.15347682,0.15324654,0.1579343,0.16517442,0.17151022,0.17470412,0.17524783,0.1751839,0.17667419,0.18038277,0.18596756,0.19238822,0.19844921,0.2031662,0.20612936,0.20783049,0.20884867,0.20909643,0.20753534,0.20296752,0.19560142,0.18707503,0.18011904,0.17628413,0.17600386,0.17820664,0.18171108,0.18484408,0.18580228,0.1832326,0.17713003,0.16982913,0.16442525,0.16357125,0.16682981,0.17158817,0.17430027,0.17367579,0.17092748,0.168777,0.16922717,0.17285804,0.17909698,0.18652545,0.19317377,0.19708066,0.19779386,0.19672953,0.19635393,0.19787508,0.20045245,0.20159005,0.19951351,0.1942579,0.18800008,0.18293272,0.18015885,0.17910117,0.17873746,0.17815508,0.17684084,0.17487781,0.1732233,0.17329383,0.17556798,0.17935388,0.18428965,0.19254522,0.20662315,0.22594255,0.24370925,0.2522043,0.24775045,0.23448265,0.21938176,0.20789863,0.2008674,0.19661504,0.19341345,0.19111507,0.19023569,0.190426,0.18960272,0.18550648,0.1773517,0.16670261,0.1558268,0.14637047,0.13872589,0.13291663,0.12896216,0.12663497,0.12499705,0.122592516,0.118395,0.11238036,0.10531036,0.09774577,0.08973998,0.08146589,0.07427022,0.070042424,0.06966994,0.07144657,0.07230306,0.069789924,0.063991055,0.056766484,0.050475642,0.04702409,0.048125196,0.05552606,0.069391705,0.08716038,0.102949135,0.11125063,0.10952133,0.10055242,0.08963732,0.081837356,0.07883006,0.07953727,0.08179509,0.084222056,0.08617125,0.08699415,0.085798256,0.08216598,0.07653273,0.069882184,0.062761955,0.055126887,0.046762694,0.03806829,0.030024514,0.023491608,0.018645275,0.014967444,0.011930528,0.0093554305,0.0074358177,0.006317224,0.005811639,0.0055084317,0.0050357217,0.0043500704,0.003578753,0.0029114112,0.002461683,0.0023421259,0.0025923608,0.003116942,0.003693133,0.0041137156,0.0042868266]