[0.03980898,0.05725224,0.09601616,0.14462171,0.18868053,0.21746244,0.22880022,0.22787507,0.22153783,0.21418054,0.20728207,0.2008624,0.19392373,0.18475783,0.1722972,0.15760817,0.14353956,0.13235651,0.12439584,0.11891723,0.116503306,0.119467795,0.13000405,0.14731908,0.16711253,0.18421496,0.1956233,0.20158194,0.20272984,0.19843857,0.18643193,0.16627897,0.14058806,0.1152533,0.09619259,0.086798824,0.08632168,0.090855986,0.09622239,0.10003004,0.10298105,0.1077921,0.11782286,0.13414572,0.15401708,0.17186676,0.18349953,0.18914038,0.19254154,0.1966074,0.20043217,0.1997263,0.19096054,0.17475699,0.15721823,0.14656834,0.14831547,0.1616488,0.18020962,0.1969437,0.20780641,0.21299766,0.21390451,0.21182822,0.20751727,0.20232905,0.19674875,0.18969925,0.17907886,0.1648445,0.14956804,0.13679819,0.12811868,0.1234113,0.122490354,0.1267472,0.13730888,0.15309359,0.1695385,0.18185274,0.1878653,0.18979676,0.19099273,0.19262706,0.1923083,0.18663812,0.17463244,0.1582617,0.14089489,0.12454867,0.109927766,0.09699122,0.086087756,0.07769703,0.072811775,0.07354912,0.08304114,0.10270786,0.12939322,0.1553471,0.17345054,0.1818666,0.1848367,0.18766767,0.19203039,0.19446059,0.18912284,0.17304142,0.14983532,0.13020967,0.12518638,0.13907164,0.16516648,0.19170348,0.20906581,0.21530773,0.21359913,0.20859583,0.20353079,0.20039618,0.19978304,0.20048742,0.19946778,0.19376211,0.18239985,0.16725682,0.15130961,0.13726938,0.12685236,0.122114725,0.12527831,0.13713191,0.15469278,0.17178608,0.18303086,0.18708509,0.18684518,0.18552844,0.18404104,0.18053822,0.17315267,0.16247047,0.151663,0.14450167,0.14210409,0.142953,0.14394718,0.14323682,0.14083625,0.13943893,0.14320688,0.15480414,0.17241241,0.18967754,0.20103224,0.2050429,0.2050771,0.20455776,0.20543367,0.2072898,0.20936978,0.2103555,0.20859063,0.20224158,0.19023563,0.17378049,0.155603,0.13914438,0.12600498,0.11647934,0.1096774,0.10506474,0.101988874,0.09972721,0.097453594,0.09471614,0.09194729,0.09024652,0.09092152,0.09427705,0.09892484,0.10210664,0.10118931,0.09514309,0.084908545,0.0727168,0.061276738,0.053722203,0.054363888,0.06834354,0.0986197,0.14071669,0.1822201,0.20871109,0.21462275,0.2056851,0.19384001,0.18683772,0.18563657,0.18646426,0.18600331,0.18285076,0.17770098,0.17204206,0.16741778,0.16430403,0.162264,0.16044362,0.15883227,0.15803826,0.15889491,0.16105618,0.16317332,0.16320051,0.15999208,0.15364648,0.14544718,0.13747244,0.13302372,0.13632284,0.15011083,0.17206073,0.19473784,0.20960926,0.21309094,0.20772009,0.19946699,0.19297798,0.18979037,0.18857796,0.18651198,0.18097073,0.17068739,0.15698576,0.14226952,0.1290961,0.11876777,0.11279163,0.11325631,0.12184224,0.13756935,0.155461,0.16985077,0.17748155,0.18008457,0.18061776,0.18041022,0.17672901,0.16637835,0.14842528,0.12673022,0.1072374,0.09505961,0.09129081,0.09352651,0.097807825,0.10100442,0.10232886,0.10343159,0.108263426,0.12011924,0.1393416,0.16110122,0.17917208,0.18950422,0.19363064,0.19550471,0.19804756,0.20001848,0.19772981,0.18866076,0.17467266,0.16213413,0.15750156,0.16335183,0.17605686,0.18970631,0.19953375,0.20504658,0.20754479,0.20850913,0.20786835,0.2056282,0.20165457,0.19538295,0.18531008,0.17100157,0.15482211,0.14084415,0.13175207,0.12681657,0.12403577,0.12309587,0.12668724,0.13729447,0.15406169,0.17163013,0.18416883,0.18907757,0.18884276,0.18732162,0.18643577,0.18406053,0.17725943,0.16480662,0.14890663,0.13264702,0.11832329,0.10655428,0.09733292,0.09032554,0.08523444,0.082557626,0.084937416,0.09585235,0.11652732,0.14263594,0.16657679,0.18229641,0.18977076,0.19318806,0.19650126,0.19917464,0.19686504,0.1849203,0.16360672,0.14001492,0.12599824,0.13032924,0.15296696,0.1836163,0.209881,0.22390737,0.22649401,0.22205961,0.21527582,0.2082259,0.2021416,0.19707964,0.19192903,0.18448491,0.17356764,0.16059566,0.14874564,0.14048797,0.13602965,0.13412064,0.1344906,0.1382847,0.14739734,0.16125323,0.17717676,0.19076134,0.19983166,0.20376728,0.20379186,0.19984633,0.19236898,0.1823852,0.1733567,0.16820334,0.16771233,0.16909234,0.1688409,0.1649366,0.15794933,0.14998925,0.14433905,0.1455512,0.15695103,0.1775136,0.20013939,0.21701752,0.22456531,0.22562064,0.2246017,0.22399147,0.22324969,0.22117735,0.21713825,0.21091942,0.20202208,0.18960665,0.17344444,0.15458037,0.13565853,0.11964383,0.108931564,0.10452604,0.10725314,0.11802379,0.13725664,0.162627,0.18916367,0.21212709,0.2302305,0.24508011,0.25747383,0.26534477,0.26536557,0.2558634,0.23870529,0.21940367,0.20664804,0.20782657,0.22400294,0.24668936,0.2635529,0.2666132,0.2576562,0.24386191,0.23067056,0.21760364,0.20263515,0.18690419,0.17633201,0.17507626,0.18157238,0.1876926,0.18595888,0.17334116,0.1532388,0.13174506,0.11692524,0.11618624,0.13540809,0.17327303,0.22208858,0.26938447,0.30830333,0.3405495,0.37607637,0.4232124,0.47914448,0.5295816,0.55335814,0.5401457,0.49289513,0.43085817,0.3709362,0.32389927,0.28832862,0.26177946,0.24328423,0.23499455,0.23699838,0.24493293,0.2532455,0.25829637,0.26083848,0.2611295,0.25786856,0.24934697,0.23845626,0.23116219,0.23013707,0.23131616,0.22771011,0.21762894,0.20522112,0.19647092,0.19421606,0.19966765,0.21363312,0.23530339,0.2597886,0.27920163,0.28824612,0.2867129,0.2791963,0.26998344,0.26154277,0.2530051,0.24212487,0.22679104,0.2079191,0.1907007,0.18138339,0.18321425,0.1926723,0.2036159,0.21076708,0.2135297,0.2127582,0.2097071,0.20448707,0.19799648,0.1912272,0.18518168,0.17962985,0.17411296,0.16821104,0.16255766,0.15770261,0.15390794,0.15054671,0.14785059,0.14723681,0.15079172,0.15858541,0.16787364,0.17452069,0.1764013,0.17555325,0.17772347,0.1886338,0.20893912,0.23186894,0.24672835,0.24660772,0.23388766,0.21821558,0.2101559,0.21339357,0.22538841,0.23928551,0.2511333,0.25770253,0.25712302,0.24651021,0.2275105,0.2058881,0.18936007,0.18180783,0.18366659,0.19325562,0.20835334,0.22414726,0.23442163,0.23294318,0.21696645,0.1869601,0.1477349,0.10655566,0.0721206,0.050513368,0.044025924,0.051304787,0.07006914,0.099060334,0.13661014,0.17872399,0.21706204,0.24382056,0.25566337,0.25725707,0.2555474,0.25580922,0.25691333,0.25587177,0.24915762,0.23825096,0.22646458,0.21971935,0.21943282,0.22400755,0.22771938,0.22870003,0.22760369,0.22765297,0.22824562,0.22767992,0.2242286,0.21988823,0.21829031,0.22331531,0.23576903,0.25235143,0.26680437,0.27430785,0.27416542,0.26858577,0.2591441,0.2455792,0.22839439,0.21081816,0.19892778,0.19840753,0.2120179,0.23698235,0.26511526,0.28612167,0.29297245,0.28541774,0.2687323,0.2506452,0.23884463,0.2382475,0.24857563,0.26258022,0.27079597,0.26619145,0.24905218,0.22535391,0.20481771,0.19601254,0.20175736,0.2170797,0.23220229,0.24095345,0.24431212,0.24771817,0.2533573,0.2580397,0.25759092,0.25150958,0.24342848,0.2373871,0.23590894,0.23925586,0.24555969,0.25161532,0.25565505,0.2587913,0.2636048,0.2691346,0.27152893,0.26747277,0.25953624,0.25265682,0.24841624,0.24253373,0.23084642,0.21669488,0.20867348,0.21305291,0.22591007,0.23874193,0.24538553,0.24799782,0.25109825,0.25599965,0.25818267,0.25203148,0.23653261,0.2165548,0.19988592,0.19051109,0.1854301,0.17601456,0.15690985,0.13312414,0.11917933,0.12690383,0.15442942,0.18663345,0.20832491,0.21609168,0.21824294,0.22470702,0.23783349,0.25247037,0.2612377,0.26077938,0.25335357,0.24614573,0.24654482,0.25708982,0.27246928,0.28293166,0.28093126,0.26574773,0.24277337,0.21914601,0.2005149,0.18881218,0.18323033,0.18067516,0.17842405,0.17448628,0.16866326,0.16177382,0.15553907,0.15166001,0.15062499,0.15145335,0.15197133,0.15098417,0.14902861,0.14855431,0.15139711,0.15680856,0.16099326,0.1599331,0.15276323,0.14264368,0.134363,0.13110316,0.1329651,0.13769287,0.14201425,0.14319788,0.1406549,0.13710625,0.13936572,0.15416342,0.1848249,0.22560517,0.26670054,0.29658213,0.30974987,0.3039042,0.28240708,0.25097698,0.21898179,0.19498223,0.18514504,0.19143133,0.21103646,0.23706587,0.25923857,0.27004886,0.2675115,0.2574621,0.24791592,0.24493258,0.2481832,0.25213203,0.24970926,0.23725587,0.21747428,0.19769387,0.18606634,0.18541157,0.19192113,0.19669585,0.19391097,0.18494819,0.17927526,0.18628383,0.20832646,0.23679543,0.25805113,0.26225975,0.2499984,0.23006304,0.21277124,0.20438439,0.20642053,0.21656193,0.22967087,0.23925282,0.24178196,0.23965323,0.23992491,0.24837768,0.2653144,0.28567943,0.30252647,0.3098148,0.3041962,0.2860916,0.2605808,0.23561026,0.21853124,0.21173342,0.21187176,0.21144973,0.2033847,0.18402326,0.15632583,0.1291439,0.11510834,0.12188371,0.1478938,0.17996494,0.20493864,0.2146068,0.21232313,0.20353521,0.19498324,0.1879878,0.18359382,0.1801515,0.17755866,0.17529456,0.17460285,0.17593451,0.1787336,0.18032895,0.17804031,0.17126977,0.1629312,0.15753193,0.15812458,0.16372369,0.17097282,0.17678149,0.18098152,0.18437673,0.18670066,0.18526714,0.17787589,0.16521633,0.15127529,0.1402766,0.13424754,0.13243316,0.13281189,0.13289069,0.13053347,0.12482956,0.11784499,0.11433879,0.11847774,0.12994726,0.14311866,0.15168327,0.15304752,0.15005927,0.14734726,0.14817476,0.15246475,0.15816756,0.1628637,0.16545689,0.1661913,0.16596387,0.16532628,0.16437647,0.1630914,0.16193879,0.16224347,0.1661041,0.17490153,0.18761577,0.19997497,0.2070101,0.20605934,0.19913977,0.19143301,0.18848485,0.19292973,0.2030906,0.21388324,0.21950091,0.21678184,0.20650367,0.1924051,0.17850451,0.16791838,0.16350059,0.16881345,0.1853893,0.20826857,0.22510703,0.22349311,0.20073108,0.16580413,0.13204478,0.10781365,0.09559405,0.09515663,0.10588815,0.12481216,0.14691035,0.16883683,0.19021292,0.21107547,0.22661246,0.23056702,0.22069384,0.20440738,0.19372754,0.19837506,0.21861279,0.24624002,0.26887816,0.27973464,0.2830148,0.2968255,0.33873317,0.41248748,0.49253598,0.54145616,0.52908134,0.4604639,0.36502543,0.28160492,0.22938551,0.20746504,0.20001234,0.19631465,0.19560795,0.20426767,0.22367685,0.24620557,0.26153198,0.26431024,0.25808796,0.2500172,0.24682803,0.25093448,0.25991693,0.2690011,0.27531978,0.28261694,0.29800674,0.32324174,0.3487766,0.35653254,0.33539388,0.28818518,0.23258571,0.18559195,0.1568859,0.14561678,0.14871101,0.16345246,0.18982345,0.2282366,0.28298703,0.35444832,0.43612418,0.5030847,0.53126377,0.5062681,0.44283924,0.3647274,0.2962743,0.24454361,0.20966808,0.18802021,0.17970723,0.18264432,0.1915416,0.19795914,0.1976747,0.19241218,0.1888627,0.193307,0.20824267,0.23150198,0.25621185,0.27641964,0.288968,0.2960676,0.29907057,0.29763445,0.28985536,0.27755368,0.2655441,0.25772223,0.25277635,0.2467343,0.23698044,0.22484988,0.21254738,0.20259617,0.19880028,0.20577331,0.22695474,0.25750652,0.28746903,0.30209064,0.29490566,0.26883304,0.23942886,0.22113973,0.22003764,0.22894548,0.23684235,0.23640007,0.22716714,0.21132427,0.19145012,0.17113404,0.15619972,0.1526349,0.16393942,0.18899731,0.22239144,0.25482848,0.2774879,0.28569403,0.28096446,0.26704386,0.25012472,0.2409609,0.25983784,0.3204045,0.41560838,0.5043874,0.54341424,0.5110463,0.42996812,0.33770123,0.2663719,0.22177868,0.19739218,0.18213342,0.17117345,0.16284913,0.15849875,0.15836494,0.16163969,0.16556267,0.16990335,0.17970307,0.20832177,0.26676807,0.35294032,0.43965396,0.49194548,0.48739287,0.43862674,0.37740543,0.33247426,0.30685112,0.28653526,0.25721434,0.21818651,0.17919534,0.15015247,0.13418335,0.12752241,0.12385603,0.11913242,0.11629615,0.12792209,0.17208056,0.25760284,0.3704799,0.47300553,0.52795166,0.52069753,0.46808288,0.39783356,0.33226666,0.27936307,0.24095894,0.21644299,0.20529284,0.20674895,0.21964318,0.24082373,0.26304117,0.27806616,0.28133464,0.27442944,0.26179084,0.24652342,0.22949922,0.21063602,0.19120775,0.17464422,0.16724299,0.17606479,0.20365272,0.24367578,0.28130737,0.30300984,0.30427048,0.2927362,0.27902853,0.26941356,0.26084095,0.24665312,0.22378875,0.19960314,0.18944447,0.20361783,0.23597176,0.26302108,0.26346394,0.23296256,0.18732484,0.1464322,0.12309056,0.120253325,0.13556665,0.16301979,0.1932199,0.21638191,0.22763115,0.2280873,0.22181004,0.21105628,0.19642226,0.17799546,0.15693331,0.13594791,0.1201474,0.11533203,0.12236757,0.13521358,0.1479686,0.16750039,0.21279208,0.29608956,0.40203705,0.48989543,0.52305245,0.4951338,0.432494,0.36892685,0.32579058,0.3047285,0.2971827,0.29106984,0.27852717,0.2585311,0.23850556,0.22725065,0.22829436,0.23607148,0.24156551,0.23823589,0.22675423,0.21300918,0.20554441,0.20983131,0.22687018,0.25220904,0.28105745,0.30832136,0.3297154,0.33902875,0.3329893,0.3131341,0.28673086,0.26033238,0.23694073,0.21637063,0.19966902,0.19011085,0.19267517,0.21140538,0.25113595,0.31319055,0.39238262,0.46741596,0.5102827,0.4996014,0.4413526,0.3640456,0.30132848,0.2693396,0.26246342,0.26470336,0.26406786,0.2584839,0.25141162,0.24494185,0.237837,0.22738306,0.21394406,0.20155674,0.19694857,0.20447843,0.2226638,0.24276812,0.25395522,0.2507713,0.23763244,0.22603822,0.22459932,0.23340674,0.2441057,0.24961102,0.24836136,0.24437058,0.24053323,0.23673475,0.23111992,0.2232436,0.2148876,0.20999515,0.21376622,0.23079371,0.25931093,0.28989807,0.3082564,0.3065307,0.28632104,0.2563395,0.2224878,0.18670504,0.15056933,0.12032611,0.10402588,0.104848444,0.11833707,0.13726766,0.15778702,0.17926507,0.19879325,0.20970695,0.20665143,0.19156617,0.17294393,0.16027361,0.16041708,0.17520986,0.20340103,0.24120863,0.29053143,0.35583076,0.4382449,0.51953375,0.56953764,0.5632265,0.50291526,0.41444084,0.32866102,0.26427013,0.22405441,0.20485835,0.20223881,0.2135752,0.23289943,0.25193453,0.26242885,0.26143166,0.25257987,0.24538608,0.2539733,0.2943358,0.37076017,0.46607575,0.5392344,0.5570907,0.5147042,0.44726452,0.3929925,0.3717611,0.36922148,0.36433294,0.34396997,0.31340632,0.28248176,0.25899103,0.24554141,0.24186449,0.24396183,0.24661458,0.24997206,0.26925766,0.32211044,0.41273332,0.5092105,0.56721187,0.5528625,0.47684753,0.3756051,0.29313937,0.24933474,0.2430994,0.2573625,0.2761369,0.2882392,0.28928462,0.27846453,0.25944647,0.2410469,0.23274295,0.23762238,0.24795122,0.2527025,0.24733044,0.23868877,0.23807542,0.25191018,0.27680293,0.30355427,0.323297,0.3323424,0.33064935,0.320062,0.30197468,0.27867043,0.253112,0.22837691,0.20696296,0.19084956,0.18428512,0.1922281,0.21920021,0.2612861,0.30617324,0.3354164,0.3384652,0.31884658,0.2927568,0.27548388,0.27245462,0.27910677,0.2874496,0.29092684,0.2857665,0.2725027,0.25620922,0.24499328,0.24344732,0.25079265,0.2608926,0.2683288,0.26964498,0.26533845,0.2588936,0.25616813,0.26190192,0.2754023,0.29308143,0.31441653,0.35009003,0.4106853,0.49421868,0.5715901,0.6081004,0.5826488,0.50944364,0.4193574,0.34396645,0.29603782,0.27417672,0.26796484,0.2679739,0.27067518,0.2786906,0.29412356,0.31153142,0.31917962,0.30929196,0.28623065,0.2647889,0.25947592,0.27435055,0.3019428,0.32909766,0.34814444,0.36028084,0.37364706,0.3911387,0.4061898,0.40414584,0.37677467,0.32822177,0.27550432,0.23530954,0.21725483,0.21873577,0.23117213,0.24436736,0.25687575,0.27700338,0.32146665,0.39620057,0.48800716,0.5602498,0.58142877,0.54061383,0.46113804,0.3762317,0.3147317,0.28406036,0.2779317,0.28194615,0.2843912,0.28069344,0.2739704,0.2705743,0.2724736,0.27573416,0.27339897,0.26368275,0.2517027,0.24668695,0.25437036,0.2736894,0.2979605,0.31963673,0.3345747,0.3427081,0.3458641,0.3444806,0.33698085,0.32229778,0.30223274,0.28220645,0.2682483,0.26517084,0.27406672,0.29229486,0.31443095,0.33532056,0.3536956,0.3686572,0.37780142,0.37378982,0.3533641,0.3183386,0.27688685,0.2353492,0.19897199,0.1718325,0.15755434,0.15567218,0.16103657,0.16736758,0.17225932,0.17792748,0.18894386,0.2074707,0.23274179,0.2598386,0.2834102,0.2986623,0.3052932,0.30532935,0.30060777,0.29060733,0.2774551,0.27295512,0.29770645,0.3638455,0.45853862,0.54129857,0.573401,0.5415599,0.46766174,0.38410652,0.31615385,0.27226886,0.25223187,0.25134787,0.2632235,0.28050172,0.29679653,0.30822656,0.3127588,0.30916438,0.29906568,0.29011476,0.29947403,0.34082064,0.41266513,0.4856287,0.5250105,0.51083535,0.45938912,0.40298834,0.3682283,0.35510597,0.34751734,0.33086443,0.3051716,0.2813562,0.27008164,0.27452663,0.29046687,0.3100382,0.32673213,0.33953118,0.3565469,0.39135405,0.45056868,0.52077085,0.56948763,0.56780386,0.5121787,0.42883703,0.35143173,0.30205858,0.28204653,0.28137645,0.28509948,0.28289548,0.2712827,0.25557896,0.24395376,0.24260497,0.25248542,0.2702819,0.29064608,0.3091294,0.32315004,0.33177117,0.33289126,0.32597986,0.31376573,0.30555144,0.30930355,0.32619682,0.3455491,0.3537078,0.3429385,0.31875095,0.29477417,0.2831286,0.2862145,0.29682514,0.3047573,0.3048891,0.30017388,0.30038282,0.31154725,0.3322706,0.3501049,0.3556539,0.34540018,0.3269235,0.30754808,0.29299343,0.28399876,0.27920416,0.27501953,0.26673374,0.25266942,0.23671418,0.2285589,0.23569538,0.25699463,0.28116497,0.2963642,0.29947698,0.29802573,0.3009329,0.3091991,0.31508362,0.31126928,0.30137342,0.30276275,0.33618876,0.4079206,0.49694714,0.5633974,0.5737322,0.5244017,0.44101694,0.35858285,0.2995257,0.2684839,0.25773564,0.25778556,0.26149204,0.26649085,0.27192068,0.27751073,0.28145945,0.28268948,0.2809191,0.2781072,0.27641544,0.27764356,0.28133675,0.28617057,0.2921526,0.30213812,0.32035953,0.34549972,0.36884007,0.37617114,0.3602917,0.3256092,0.28683105,0.25706106,0.24141657,0.23685521,0.2366823,0.23458523,0.22749192,0.22116548,0.23320083,0.28407288,0.37791213,0.48627925,0.5623234,0.5708571,0.5164984,0.4330497,0.35865352,0.31099105,0.28939632,0.28372929,0.28486133,0.28694627,0.28787783,0.2880297,0.28793678,0.2874827,0.28584778,0.2835163,0.2821761,0.28363368,0.2870579,0.28837112,0.28263947,0.26817468,0.24916904,0.23381555,0.23002781,0.24046111,0.260981,0.2824776,0.29560754,0.29559204,0.28453124,0.27071893,0.2626921,0.26324162,0.2665966,0.2665795,0.2650121,0.27265027,0.29591691,0.32740116,0.34981486,0.35229018,0.338442,0.32044086,0.30673805,0.29870483,0.29415396,0.29198214,0.29041877,0.28793833,0.28364015,0.28064808,0.2815555,0.28631878,0.29118654,0.29377234,0.2956425,0.2997815,0.30756602,0.3160137,0.3215749,0.32161,0.31881127,0.32148352,0.34468234,0.39992425,0.4849844,0.57253474,0.6261883,0.61948615,0.56030136,0.47837123,0.40879282,0.36779177,0.35483673,0.35800815,0.36506903,0.36731777,0.36166573,0.3492062,0.3320533,0.31151652,0.2900263,0.2751858,0.28201675,0.32668874,0.41150543,0.5129115,0.58783144,0.6037938,0.56269705,0.50031793,0.45205233,0.4300193,0.4187138,0.40128362,0.37183216,0.3399166,0.3155657,0.30467534,0.3051007,0.31204373,0.31985614,0.32818523,0.3423526,0.37446094,0.43022433,0.50275546,0.56428766,0.58661455,0.55547935,0.48690078,0.4096458,0.34916022,0.3120116,0.29280627,0.28268683,0.27668652,0.27316865,0.2724517,0.27447173,0.27841827,0.28168905,0.28188965,0.27785066,0.27160275,0.26638585,0.2639489,0.26219395,0.25688305,0.24615543,0.23259352,0.22241224,0.2202326,0.22694844,0.23831038,0.24905749,0.2551743,0.25670156,0.2557762,0.25487828,0.25487304,0.2551129,0.2555382,0.25813952,0.26842633,0.29012182,0.32124558,0.3501967,0.36503008,0.3604928,0.34410095,0.32663545,0.3153256,0.30791497,0.2990907,0.28491482,0.26771465,0.25323686,0.24853833,0.25721,0.27784202,0.3020406,0.3186606,0.31970608,0.3075972,0.29320994,0.288479,0.2978184,0.3174609,0.34137905,0.36460856,0.385354,0.40055588,0.40900826,0.40846273,0.40004683,0.3848751,0.3674948,0.35186246,0.34068227,0.33222428,0.32258114,0.30851564,0.29038122,0.2720965,0.25923094,0.2562115,0.26432735,0.2810415,0.30095342,0.31846246,0.33007786,0.33603895,0.33826864,0.33885816,0.33747193,0.33309746,0.3247951,0.31429985,0.30434713,0.29709724,0.2918179,0.2863281,0.27977228,0.27375448,0.2713678,0.27433947,0.28339922,0.296532,0.30993125,0.31663617,0.31248984,0.29755667,0.27753088,0.25680283,0.23693192,0.21676315,0.19687264,0.17971325,0.16781668,0.16189386,0.16108455,0.1641413,0.16912465,0.17336236,0.17418952,0.1710064,0.1656587,0.16096021,0.15861209,0.15831769,0.15885735,0.15908068,0.15883379,0.15843125,0.15842253,0.15950473,0.16273628,0.16971463,0.18176793,0.19952638,0.22230732,0.24771102,0.2724016,0.29253003,0.30611822,0.31162956,0.3087754,0.29687247,0.2780542,0.25636053,0.23737274,0.22420461,0.21774065,0.2179914,0.22580047,0.2407897,0.2592909,0.27533308,0.2854474,0.29038283,0.29350123,0.29650715,0.29928645,0.30087462,0.3008971,0.29960832,0.2981262,0.29735294,0.29544345,0.28659883,0.2653847,0.23347645,0.20134342,0.18243086,0.18299937,0.19946764,0.22083728,0.23832,0.24880858,0.25655314,0.26769674,0.28673747,0.31238213,0.33831468,0.35632983,0.36214355,0.35759282,0.34904948,0.34238294,0.3403246,0.34242347,0.3473135,0.353804,0.36035883,0.36423802,0.36218262,0.35293484,0.3380488,0.32123753,0.30549067,0.2928785,0.28371036,0.27745888,0.27235916,0.26665533,0.2597948,0.25295013,0.24895461,0.2497046,0.2547668,0.26006165,0.26151657,0.2577759,0.25244948,0.2502858,0.25337628,0.25826213,0.25877142,0.25102338,0.23731238,0.22551842,0.22399999,0.23651421,0.25928205,0.2835367,0.30089346,0.30922496,0.31347582,0.31987152,0.32871082,0.33261797,0.32411274,0.3039811,0.28188577,0.26923737,0.27030993,0.28243175,0.29798472,0.3108796,0.316156,0.31306943,0.30339172,0.29135993,0.27984464,0.26886138,0.25823316,0.25094512,0.25460538,0.27396938,0.3042425,0.3289658,0.33163378,0.3087646,0.27598673,0.2569238,0.26560107,0.2960455,0.3279946,0.34377584,0.34083855,0.33171225,0.33272338,0.3487092,0.37011024,0.37739453,0.36018082,0.32275602,0.2856442,0.26832202,0.2779251,0.30193964,0.31765592,0.3101669,0.28376135,0.25847253,0.2513381,0.26431844,0.2842492,0.2963418,0.29570007,0.29197302,0.3004202,0.329825,0.37354317,0.4159163,0.44363666,0.45478448,0.45542407,0.45325172,0.45403138,0.4619359,0.4794763,0.50395584,0.5281318,0.5432126,0.5460568,0.53979963,0.5324137,0.5304645,0.5380468,0.55556226,0.58267426,0.61694825,0.65457916,0.6890597,0.7145915,0.72774124,0.72989345,0.72429866,0.7142574,0.70069814,0.6848379,0.6687735,0.6549928,0.6430685,0.62971497,0.61216897,0.591157,0.5704787,0.5530451,0.5391824,0.52676946,0.51395255,0.49975505,0.48485956,0.47057697,0.45878196,0.45040095,0.4448869,0.4400729,0.43369257,0.42439368,0.41177556,0.39579737,0.37685445,0.35625863,0.3355312,0.3157666,0.29698387,0.28063387,0.27033642,0.2725387,0.2913638,0.32500744,0.3637222,0.3955152,0.41281033,0.4155772,0.40811574,0.39384258,0.37393677,0.34922233,0.3224814,0.29719433,0.27603793,0.26011902,0.25099674,0.24966379,0.25509962,0.26254895,0.2664147,0.26322758,0.25266126,0.23591451,0.21415246,0.18945259,0.16568512,0.14915709,0.14625323,0.16125087,0.19364639,0.23781991,0.2838901,0.3209683,0.34169427,0.3452516,0.336185,0.31888962,0.29384854,0.25899917,0.21498649,0.16851617,0.13183178,0.11846795,0.1371262,0.18361187,0.24087077,0.28684625,0.31088233,0.31640846,0.31523767,0.31386447,0.3130188,0.3107128,0.30811712,0.31023255,0.32692334,0.37021855,0.4433186,0.52921575,0.5914344,0.59789985,0.5440131,0.45806348,0.37849748,0.33059004,0.31623074,0.3226658,0.33473992,0.3434025,0.3469452,0.34848914,0.35155812,0.35753003,0.36474237,0.3703967,0.3723699,0.37074295,0.36705938,0.3628013,0.35820195,0.35292098,0.34863612,0.34970573,0.3619819,0.38460898,0.40805897,0.41575882,0.39980832,0.365801,0.33103302,0.30824772,0.29965338,0.29807663,0.29648626,0.2936084,0.2952342,0.3112059,0.34720638,0.39770222,0.44305527,0.46147892,0.44211254,0.39412153,0.3373613,0.29022273,0.2598269,0.24418171,0.23756224,0.23529129,0.23530467,0.2374912,0.24204306,0.24798429,0.25276712,0.25455153,0.2531188,0.25029743,0.24748564,0.2451319,0.24263208,0.23956734,0.23660056,0.23548144,0.23858602,0.24646135,0.25708985,0.2661828,0.27064207,0.26978818,0.2654408,0.2594693,0.2533053,0.24752448,0.2426533,0.23876947,0.23755091,0.24335833,0.2643869,0.3042065,0.3554325,0.3958925,0.40479958,0.37575984,0.3245505,0.27452627,0.2439071,0.23674126,0.24710466,0.26382518,0.27785873,0.28507447,0.2883757,0.29123804,0.29504535,0.29594705,0.29163775,0.28301647,0.27563122,0.27412307,0.27977154,0.28987432,0.30030012,0.30998242,0.32302275,0.34987247,0.39772105,0.4633855,0.52593297,0.5606637,0.55176854,0.5065429,0.44591948,0.3920337,0.35355285,0.32664308,0.30290982,0.2793664,0.260438,0.25316086,0.2589684,0.27191293,0.2812172,0.28102848,0.27518138,0.27892455,0.30938086,0.37118053,0.44696268,0.502815,0.5130804,0.47877336,0.42846444,0.39402226,0.38704336,0.39289248,0.385891,0.3528165,0.30134907,0.25256604,0.22365649,0.21994406,0.23636906,0.2629725,0.29043934,0.3137767,0.33756018,0.36851096,0.40872785,0.44473347,0.46081713,0.44686022,0.41156682,0.3701136,0.33886456,0.3231864,0.32110977,0.32404676,0.3253708,0.3231127,0.32102796,0.32307258,0.3293362,0.33581516,0.33772016,0.33290398,0.32155415,0.30590546,0.28794706,0.27087888,0.25769842,0.25418377,0.2647164,0.2917432,0.32916108,0.36687884,0.3928294,0.4019951,0.3958783,0.38276544,0.37119117,0.36621284,0.36668602,0.3675121,0.36435744,0.35807335,0.35485563,0.36377525,0.3870673,0.41829905,0.44047785,0.44228104,0.420769,0.38649163,0.3485005,0.31388292,0.28352657,0.2592054,0.24102557,0.22985159,0.22589529,0.23204893,0.24889219,0.2735683,0.2958801,0.3078127,0.30641678,0.2983853,0.29050946,0.28670487,0.28483245,0.28246686,0.28168932,0.29149783,0.32673678,0.39364287,0.48255762,0.5601468,0.59476244,0.5708311,0.506689,0.4316933,0.37186053,0.332603,0.30889335,0.29319,0.28323945,0.28023815,0.28580427,0.29906696,0.31628817,0.33161426,0.34107968,0.34415925,0.34426978,0.34476152,0.34637713,0.3472018,0.34456,0.33911815,0.33508816,0.34024003,0.3577633,0.3815025,0.39448038,0.38170865,0.34122184,0.28731,0.23852538,0.2061864,0.18996066,0.18332513,0.17977242,0.17941374,0.19023126,0.22686823,0.29436636,0.37927297,0.44603488,0.46525523,0.4304985,0.366969,0.3058274,0.26732484,0.2514518,0.24831223,0.2478377,0.24610151,0.24547462,0.2503694,0.26223776,0.2771313,0.28787664,0.2897351,0.2834742,0.2746627,0.26822957,0.2649471,0.2615199,0.25481015,0.24520111,0.23619074,0.23144801,0.23147768,0.23382507,0.23490055,0.23312904,0.229885,0.22844692,0.23189408,0.24050999,0.25184634,0.26100862,0.26476577,0.26469943,0.26935828,0.2894907,0.3268732,0.36848834,0.3906604,0.37887216,0.33731902,0.2870727,0.2474755,0.22658284,0.22054696,0.2225527,0.22885661,0.24048889,0.2606099,0.2901808,0.3242763,0.35305712,0.3670081,0.36374256,0.34933618,0.33400917,0.32439598,0.3199683,0.3139443,0.300787,0.2834407,0.27700573,0.30125985,0.36344516,0.44765568,0.5184811,0.5473399,0.52871794,0.4841121,0.4401969,0.41453874,0.40697062,0.40807006,0.4072946,0.4010168,0.39239177,0.38651538,0.38517508,0.3856056,0.38482964,0.38402286,0.39030835,0.414119,0.45892048,0.5159412,0.56056243,0.5722232,0.5448555,0.49916038,0.46100816,0.44696403,0.4486716,0.446932,0.42776608,0.39409128,0.35931668,0.33419764,0.320544,0.31304482,0.30503437,0.29251114,0.27706492,0.2691394,0.28388873,0.33054295,0.39910877,0.46186683,0.48961413,0.47204235,0.42341295,0.37144235,0.33986822,0.3376478,0.3582262,0.38705325,0.41057253,0.42366615,0.4288042,0.43217102,0.43681562,0.442644,0.44708052,0.44933292,0.44980454,0.44981742,0.44921407,0.44682756,0.44164017,0.4341676,0.4270105,0.42342076,0.42593685,0.4337711,0.4432585,0.4498205,0.45154786,0.44921282,0.44327632,0.43199655,0.41271594,0.3864704,0.3595408,0.34217814,0.34408268,0.3676031,0.40420493,0.4349291,0.44308448,0.42362905,0.38722643,0.34887242,0.3187301,0.29801294,0.28439343,0.27633715,0.27452627,0.28007665,0.292096,0.3065027,0.31593964,0.31341937,0.29584303,0.26678273,0.23525356,0.21267356,0.20892484,0.22703278,0.26139978,0.30125257,0.34028867,0.3828081,0.43630624,0.50028855,0.556169,0.5815287,0.5631263,0.5120236,0.4504802,0.4002063,0.3684044,0.35255316,0.3465389,0.3460691,0.34886608,0.35256052,0.35477707,0.3524597,0.34363082,0.32793748,0.30811688,0.28885993,0.27589437,0.27275607,0.27939796,0.29091287,0.3018535,0.3105686,0.32186726,0.34156683,0.36709532,0.38494095,0.3779916,0.34156346,0.28689072,0.2343386,0.1975183,0.17877167,0.17188142,0.16968904,0.17019862,0.17933655,0.21332347,0.28377953,0.3864101,0.48547044,0.5397355,0.5221341,0.4482139,0.35319746,0.2747954,0.22649212,0.20595455,0.20155318,0.20494151,0.21175106,0.22124495,0.23276782,0.24403381,0.25160643,0.2539232,0.25245443,0.25091302,0.25304827,0.26237556,0.282058,0.31371686,0.35589793,0.40324414,0.44811013,0.48193738,0.49820614,0.49462792,0.4749976,0.44652474,0.41593564,0.38598695,0.3571352,0.32914224,0.30309725,0.27942935,0.26042232,0.25094268,0.26067734,0.29380634,0.34351966,0.38903877,0.4133675,0.412141,0.3964057,0.37626824,0.35306954,0.3204566,0.2749277,0.2243924,0.18497138,0.17405264,0.19751847,0.24775296,0.30543604,0.35195962,0.37704995,0.38265908,0.37711188,0.36971283,0.3671224,0.3734809,0.38934445,0.4126136,0.4401408,0.47225285,0.5077404,0.5411734,0.5579794,0.5478336,0.50974864,0.45798925,0.40854707,0.37372407,0.35531732,0.3495759,0.34977114,0.35164955,0.35470894,0.36137965,0.37344515,0.3893288,0.40495622,0.41689765,0.4267174,0.44221017,0.47219813,0.5164311,0.5579786,0.57203156,0.544534,0.487547,0.43090138,0.4001629,0.39836,0.4089533,0.41314185,0.4042141,0.38840306,0.3750316,0.36865756,0.3678418,0.3689561,0.36909804,0.36916807,0.37443605,0.39470258,0.43386284,0.48568735,0.5297722,0.54999113,0.5402727,0.51301295,0.4819819,0.45897746,0.44516757,0.438908,0.43566784,0.43281066,0.4285445,0.4230248,0.41699675,0.4113295,0.4061737,0.40127382,0.39637148,0.3919839,0.38822535,0.3841311,0.3775556,0.36780903,0.35799173,0.35426283,0.36319458,0.3859069,0.41718268,0.44622576,0.46459588,0.4700222,0.46727204,0.46226227,0.45799747,0.45395514,0.44899127,0.44323167,0.4389163,0.4386263,0.44463584,0.45334193,0.45580772,0.43923703,0.39955652,0.3435391,0.2866487,0.23958969,0.20515801,0.17954992,0.15967616,0.14488602,0.13793194,0.14413671,0.1696654,0.21606572,0.275674,0.33357227,0.37608755,0.39835784,0.40468755,0.40256357,0.39749372,0.3906448,0.38018727,0.36227587,0.33404458,0.29640412,0.25608703,0.2225758,0.20212294,0.19359446,0.19051118,0.18669856,0.18030877,0.17318983,0.16829318,0.16741653,0.17136388,0.1804898,0.1955976,0.21556686,0.23634647,0.2513777,0.25784874,0.2577853,0.25465283,0.24745284,0.23393601,0.21772234,0.20850009,0.21279818,0.22623496,0.23741634,0.23834153,0.22921993,0.21674456,0.2087213,0.21227355,0.22976004,0.2571738,0.28360197,0.29769096,0.29138795,0.26360852,0.21991055,0.17493093,0.14700896,0.14882381,0.17648374,0.21189968,0.23611379,0.24286997,0.24181987,0.2477528,0.26961794,0.3036578,0.33936942,0.36575568,0.37700632,0.3701173,0.3448266,0.30370927,0.25498262,0.20895433,0.17452995,0.15574886,0.15506041,0.17310207,0.20775779,0.24954927,0.28618816,0.30801356,0.31539708,0.31462586,0.31311354,0.31222954,0.30887297,0.29757795,0.27540243,0.24312162,0.20656691,0.17542881,0.16056131,0.16797225,0.19373274,0.2243468,0.24431033,0.24621825,0.2339847,0.21868901,0.20884824,0.20645976,0.20792992,0.21060567,0.21517314,0.22335713,0.2329071,0.23693936,0.23000978,0.2130484,0.1932467,0.17834108,0.17398417,0.18424702,0.21092421,0.24948889,0.28677425,0.30753055,0.30619684,0.29004684,0.27217808,0.25749132,0.24263932,0.22182138,0.19780795,0.18129463,0.18509482,0.2152235,0.2649112,0.31854418,0.35913476,0.37928465,0.38094655,0.3717431,0.35762036,0.34261978,0.33003846,0.3250399,0.33061585,0.3447069,0.35750428,0.36108923,0.35536933,0.35098314,0.35784462,0.37827694,0.4066747,0.435729,0.4605434,0.4768814,0.48232535,0.47591552,0.45908502,0.4322182,0.39506456,0.3494654,0.30218068,0.26284426,0.23867418,0.23101641,0.23581702,0.2458822,0.25368068,0.2527329,0.2420551,0.22774695,0.22442758,0.24484892,0.29102814,0.34616575,0.38649383,0.39640427,0.38115406,0.35976827,0.3487569,0.3503913,0.35319903,0.34558257,0.32422435,0.29716644,0.27495816,0.26527765,0.2692958,0.2834768,0.30162278,0.31744552,0.3284874,0.33527246,0.33991346,0.34089974,0.3356539,0.32207274,0.30312717,0.28491753,0.27417347,0.27412578,0.28276303,0.29646564,0.31301916,0.33413875,0.3593708,0.38373676,0.39776075,0.39592746,0.37963024,0.3563645,0.33381924,0.31747434,0.31021225,0.31097603,0.31506094,0.31442702,0.30385557,0.28212857,0.25390396,0.22670108,0.21001695,0.21102001,0.22982411,0.25855634,0.2848737,0.29934165,0.29718468,0.27930334,0.25081536,0.2220063,0.2037176,0.20199013,0.21338296,0.22880201,0.23927277,0.24051028,0.23205864,0.21662997,0.20084314,0.1950751,0.20776725,0.23792303,0.27339816,0.29967856,0.30924234,0.30457518,0.2919756,0.27633646,0.25967857,0.24253565,0.2250437,0.2065342,0.18687184,0.16641514,0.14659865,0.12815814,0.11121702,0.095240824,0.08042157,0.06754043,0.057578918,0.050538704,0.046040192,0.04424636,0.047330186,0.057388704,0.07410238,0.092204936,0.10438352,0.104913004,0.09333288,0.07369032,0.05202194,0.033341926,0.019969705,0.011796124,0.0073084435,0.0049821483,0.0037280319,0.0029700703,0.0024241891,0.001999581,0.0016812957,0.0014637349,0.001313433,0.0011984954,0.001096601,0.0010053013,0.00092381914,0.00084899087,0.0007669046,0.000664942,0.00054249674,0.0004166837,0.00031130217,0.00027506743,0.0007158273,0.0031674504,0.011132728,0.02965018,0.06266307,0.10908278,0.1610787,0.20711966,0.23909621,0.25652644,0.2647005,0.26662493,0.2592833,0.2363733,0.1977622,0.15314983,0.11822584,0.10215599,0.10162038,0.10282009,0.09517958,0.07879054,0.06527399,0.067607254,0.09220376,0.13502152,0.18460959,0.22902833,0.26114807,0.28049278,0.28973076,0.29155493,0.286716,0.27444342,0.25344685,0.2246853,0.19314934,0.16716158,0.15163428,0.14395984,0.13444626,0.11644224,0.09252236,0.074950166,0.07621508,0.10097142,0.14230342,0.1863094,0.22273064,0.254935,0.30018094,0.37155887,0.46021262,0.5324412,0.55681205,0.526931,0.46688175,0.40743923,0.36785984,0.34961495,0.34589228,0.34890142,0.3534356,0.35719573,0.36014107,0.36371014,0.3679278,0.37141868,0.3719859,0.36991072,0.36775577,0.36851954,0.3732884,0.3796998,0.3843112,0.38436472,0.38233697,0.38448453,0.39535502,0.40978503,0.4128923,0.39127263,0.3439776,0.28448638,0.23008005,0.1915478,0.16944838,0.15818976,0.15282297,0.15545236,0.17769301,0.23428814,0.32748827,0.43528938,0.51806587,0.54447085,0.5135165,0.45291993,0.39668489,0.36306033,0.35075167,0.34756288,0.34350404,0.3354735,0.32783273,0.32588348,0.33165213,0.3408661,0.3471614,0.34641948,0.33979726,0.3314729,0.3250262,0.32134423,0.31858945,0.31430912,0.30697402,0.29771948,0.2897624,0.28627834,0.28750983,0.29024985,0.29078484,0.28856516,0.28703415,0.29058453,0.30029544,0.31303966,0.32338443,0.3288256,0.33185792,0.3404177,0.35970256,0.38585892,0.40300664,0.39546752,0.3594023,0.3072935,0.25621852,0.21682054,0.1894042,0.17029785,0.15661322,0.14825816,0.14614458,0.15240674,0.1691277,0.19698243,0.23190503,0.266075,0.29138535,0.30472586,0.30861446,0.30780646,0.30480745,0.297417,0.28315663,0.26556262,0.26075876,0.2893771,0.3603823,0.45378223,0.52925825,0.55118084,0.5161561,0.45010528,0.38813826,0.35042128,0.33875623,0.34331986,0.35278448,0.35940233,0.36026827,0.3568332,0.3512375,0.34449315,0.33613196,0.32924452,0.33274814,0.36167356,0.42244902,0.5044842,0.5736289,0.59852284,0.56798935,0.5065034,0.44892013,0.41914794,0.41264072,0.40957293,0.39374325,0.36505058,0.33552137,0.31636497,0.31088492,0.31536368,0.32436177,0.33547103,0.34992573,0.37442753,0.41356185,0.46626434,0.51611036,0.54355526,0.53295475,0.49011394,0.43301797,0.38545752,0.35954335,0.35564432,0.36407742,0.37462893,0.38142458,0.38410676,0.38447976,0.38342372,0.3800026,0.3738623,0.36578035,0.35867992,0.35442272,0.35395816,0.35454655,0.35346913,0.3484442,0.34258386,0.3409761,0.34871745,0.3638802,0.37952754,0.3870661,0.38431755,0.37554076,0.3682853,0.3667425,0.36963955,0.37240183,0.37094,0.36721233,0.36802807,0.38308644,0.41235426,0.4447329,0.45971644,0.44689414,0.4109663,0.36999917,0.33761656,0.3173041,0.30406272,0.2935638,0.28496337,0.27982274,0.27909076,0.28272113,0.28922114,0.29654196,0.30189133,0.30352268,0.30169484,0.29894623,0.29881433,0.30306616,0.31087387,0.31841883,0.32404968,0.33099842,0.35110894,0.39294755,0.4547495,0.5128831,0.5417318,0.5249754,0.47481206,0.4135613,0.36426732,0.33342358,0.31923994,0.31413504,0.3131779,0.3131111,0.314147,0.31702015,0.3220763,0.32741836,0.33087566,0.3318425,0.33263886,0.3370473,0.34679422,0.35962358,0.3693948,0.37185588,0.36830607,0.36731163,0.37616372,0.39330956,0.40521362,0.39665964,0.36288527,0.3133997,0.2642099,0.2263089,0.20233035,0.18901181,0.18231028,0.18194897,0.19293313,0.22792768,0.29304516,0.3815538,0.46192983,0.50405145,0.49073252,0.4388071,0.37570533,0.32848194,0.30354774,0.29479805,0.2897241,0.2816641,0.27252388,0.26957944,0.27763048,0.2941637,0.31131122,0.32248613,0.3260071,0.32484642,0.3229479,0.32284197,0.3244238,0.3255227,0.32386196,0.31897327,0.31298032,0.30902675,0.3091826,0.31281456,0.31750152,0.32120916,0.32427967,0.32894358,0.33644345,0.3460017,0.3543987,0.36000863,0.36316445,0.3686507,0.380653,0.3991555,0.41436026,0.4122472,0.38432908,0.3361844,0.28328738,0.23990549,0.21084099,0.19286425,0.18057166,0.17105138,0.16376124,0.16052987,0.16418348,0.1788854,0.20555907,0.24056435,0.27449536,0.29934964,0.31205225,0.31605923,0.31482425,0.30830672,0.29301727,0.2710832,0.255392,0.26955733,0.32730576,0.4193914,0.5072592,0.55366576,0.54283196,0.49395907,0.43668738,0.39458942,0.3722174,0.3638524,0.3602843,0.35592923,0.34987822,0.34447393,0.34223816,0.34277058,0.3436612,0.34363422,0.34687623,0.36395168,0.40347722,0.4626573,0.51935774,0.54663754,0.5296996,0.48230553,0.43417332,0.40990022,0.40987697,0.41457167,0.4044975,0.375958,0.3416331,0.3163849,0.30660108,0.3093156,0.3175616,0.32664606,0.3361388,0.35256004,0.38429868,0.43427446,0.49033585,0.5307339,0.5374284,0.51087755,0.46757627,0.42810187,0.4037111,0.39397502,0.39145097,0.3886101,0.3822906,0.37362263,0.36580476,0.36004648,0.3556912,0.35120988,0.3473612,0.3463727,0.35081157,0.36033353,0.3711588,0.37706402,0.37378952,0.36249602,0.35017118,0.3458461,0.35434186,0.37355316,0.39471093,0.40987888,0.41609156,0.41848338,0.42344442,0.43420163,0.446153,0.45165107,0.44561103,0.43134657,0.41907537,0.41721705,0.4240378,0.42579833,0.4088314,0.37055612,0.32300535,0.28060365,0.25083676,0.23082139,0.21584553,0.2028612,0.19363235,0.19075692,0.1989644,0.22110748,0.25747126,0.3014808,0.34350944,0.3745147,0.3915985,0.396842,0.39490068,0.38916564,0.38076463,0.36789384,0.34772524,0.31796122,0.28079242,0.24168153,0.20832606,0.18422817,0.1692916,0.15955366,0.15251,0.14650683,0.14148988,0.13682604,0.13224123,0.12749527,0.12264189,0.11744233,0.11168894,0.10583817,0.101017945,0.09838986,0.09797939,0.09898127,0.100512676,0.10260602,0.1055801,0.10915524,0.11198976,0.11305681,0.11275088,0.11317015,0.115427844,0.11860905,0.11937199,0.11583477,0.10895214,0.10341921,0.10445871,0.11431268,0.13000469,0.14370231,0.14876202,0.14323801,0.1321639,0.12243497,0.119923264,0.12666571,0.14138979,0.15999343,0.17689626,0.18800034,0.19188654,0.19048232,0.1862811,0.18131107,0.17604262,0.17168462,0.17149572,0.18013902,0.19888611,0.22169985,0.23688869,0.23459202,0.21391277,0.18377163,0.15700947,0.14225566,0.13910498,0.13976675,0.13572833,0.1241683,0.108881116,0.0963658,0.091260694,0.09538236,0.108221106,0.12745935,0.14828871,0.16520752,0.17440294,0.17600906,0.17257607,0.16749214,0.16334535,0.16250663,0.16613,0.17338927,0.18046989,0.18267089,0.1771488,0.16500333,0.15012948,0.13639292,0.12528591,0.11580017,0.10653594,0.0981051,0.093809225,0.097344905,0.109609865,0.1280002,0.1484633,0.16822512,0.18508846,0.19660227,0.19960926,0.1931941,0.17948274,0.16338289,0.14984055,0.14272405,0.1440186,0.15405542,0.17071204,0.1895951,0.20472854,0.21163194,0.20974769,0.20352627,0.20016098,0.20507997,0.21897285,0.23699315,0.2530618,0.26245797,0.26398733,0.2575332,0.24358897,0.22304232,0.19925088,0.17774558,0.16413401,0.1603031,0.16335511,0.16748513,0.16819875,0.16423656,0.15710652,0.14884937,0.14109753,0.13579725,0.13609292,0.14504516,0.16250645,0.18301608,0.1991093,0.20626855,0.20621057,0.20322071,0.2000441,0.19619161,0.19100009,0.18642592,0.18628407,0.1933024,0.20560305,0.21752648,0.2222995,0.21709293,0.20438628,0.19062175,0.18114412,0.17723365,0.17630155,0.17517759,0.17275947,0.16977067,0.16751166,0.16625476,0.165618,0.16470943,0.1628979,0.16001242,0.15647131,0.15306799,0.15037948,0.14857821,0.14732344,0.1461786,0.14483614,0.14358252,0.14294535,0.1433896,0.14432788,0.14467193,0.14334859,0.14065547,0.13767387,0.13564344,0.1347151,0.13430105,0.13376044,0.13325524,0.13361417,0.13508435,0.13668081,0.13634823,0.13301313,0.12736277,0.12162477,0.11751807,0.11536342,0.11417789,0.112811655,0.110636555,0.10776385,0.104931794,0.103168696,0.103046775,0.1041089,0.10490256,0.10422667,0.10206439,0.09982908,0.099120386,0.100644894,0.10371288,0.10700994,0.10967965,0.11219718,0.116151355,0.12334621,0.13422133,0.14772747,0.16152899,0.17400225,0.1839881,0.19156422,0.19649778,0.19931579,0.20014936,0.19973223,0.1983406,0.1968897,0.19601457,0.19617486,0.19656958,0.19612253,0.19433482,0.19223952,0.19134907,0.19226523,0.19379304,0.19402902,0.19181287,0.18793648,0.18425916,0.1825767,0.18289141,0.18388188,0.18363594,0.18169157,0.17888738,0.176885,0.17639072,0.1771426,0.17818016,0.17876314,0.17838292,0.17685938,0.17443763,0.17214932,0.17112444,0.17169802,0.17250697,0.17164989,0.16806646,0.16267262,0.15753657,0.15440391,0.15368037,0.15419127,0.15455699,0.15402545,0.15353169,0.15411545,0.15599948,0.15738407,0.15641981,0.15246741,0.1472041,0.14275019,0.14042963,0.13966589,0.13925183,0.13806283,0.13630696,0.13490655,0.13527368,0.13761777,0.14093351,0.14292921,0.14222153,0.13888812,0.13480769,0.13169277,0.13044524,0.13069533,0.13180776,0.133622,0.1370049,0.14359915,0.15359522,0.16439863,0.17062698,0.16868721,0.16000116,0.15146749,0.15065421,0.16044301,0.17785221,0.19612247,0.21051657,0.21947499,0.22532912,0.22990946,0.23330837,0.23203075,0.22221793,0.20281301,0.17863166,0.15805666,0.14792116,0.1481616,0.15212817,0.15157199,0.14357452,0.13299468,0.1287723,0.13817835,0.1616383,0.19462205,0.22916706,0.2599448,0.2837875,0.30182514,0.3150085,0.32439598,0.3291336,0.32917595,0.32527766,0.31953228,0.31362092,0.3079661,0.301114,0.29047164,0.27389047,0.25186756,0.22842051,0.20939492,0.19843657,0.19438042,0.19218643,0.18753594,0.18008333,0.17342757,0.17199473,0.17849582,0.19335014,0.21436195,0.23726563,0.25568378,0.26398548,0.25860116,0.24054678,0.214221,0.18684661,0.16439883,0.1504079,0.14534508,0.14989698,0.16450933,0.1880623,0.21460961,0.2362078,0.2460279,0.24271631,0.22904666,0.21104817,0.19528447,0.18835922,0.1960692,0.22223747,0.2667878,0.32215762,0.3753493,0.41282436,0.4297485,0.43006358,0.422516,0.41236869,0.40050587,0.3850615,0.364692,0.33944997,0.31185046,0.28703344,0.27146032,0.26804337,0.27447367,0.28425905,0.29297447,0.29906526,0.30217203,0.29861477,0.28366792,0.25620735,0.22302143,0.19591586,0.18545252,0.1952151,0.22092445,0.253382,0.28248787,0.30094013,0.3064418,0.3020515,0.2937427,0.28555873,0.27653843,0.26145098,0.23678243,0.20615602,0.18065815,0.17311025,0.18878992,0.22291203,0.2626034,0.29689696,0.3200945,0.3339938,0.34258893,0.35133326,0.36464953,0.38664827,0.41904375,0.46072936,0.5091353,0.55989015,0.6079474,0.6402681,0.64309007,0.6053675,0.5365499,0.45777547,0.39490703,0.35812977,0.34453145,0.34319413,0.3470761,0.35502335,0.36889803,0.3886967,0.41049168,0.4285957,0.4396263,0.44359913,0.44318447,0.44040093,0.43630826,0.4305493,0.42314306,0.41555703,0.41252956,0.42004517,0.440747,0.46691605,0.48311746,0.47444415,0.44066167,0.3946375,0.3548051,0.33037403,0.32115975,0.32085058,0.3251262,0.33399108,0.35232016,0.38936996,0.44949365,0.52635723,0.59433967,0.6266616,0.60741377,0.54996926,0.48042846,0.4262247,0.3964864,0.38763186,0.38794973,0.3892553,0.3885367,0.3871441,0.38649908,0.385559,0.38239393,0.37583992,0.36788085,0.36182046,0.36076844,0.3646573,0.3701854,0.37256157,0.3689684,0.36054516,0.3514202,0.34558478,0.3441374,0.34466067,0.3435854,0.33928326,0.3336716,0.33072063,0.332835,0.3390021,0.34475443,0.34657827,0.3456328,0.34999272,0.3689678,0.4027168,0.43763757,0.4527146,0.43812135,0.40197018,0.36672756,0.3504616,0.35857797,0.38119078,0.40295294,0.41153112,0.40502095,0.39055622,0.3770877,0.36820248,0.36099812,0.35209092,0.3422606,0.33669817,0.33934012,0.3492881,0.3611836,0.37011552,0.37427852,0.3767482,0.38399825,0.40765682,0.45503926,0.5234131,0.5897661,0.6294455,0.62744254,0.59533626,0.55282545,0.51880217,0.49618903,0.481644,0.4694463,0.45965388,0.45469224,0.45585844,0.45961154,0.45946205,0.45126304,0.43734017,0.42697418,0.43329576,0.46484885,0.5193813,0.57761824,0.614685,0.6123144,0.5764534,0.52979314,0.4961916,0.47996473,0.4670138,0.44147623,0.40083835,0.35771164,0.32677335,0.31694588,0.3279101,0.35368702,0.3843744,0.41244116,0.43746278,0.46773112,0.5083843,0.55375284,0.58390325,0.5835447,0.5504464,0.5029037,0.46112177,0.4398601,0.43802068,0.44874683,0.46277583,0.47635686,0.48780075,0.49762392,0.5049058,0.50889945,0.5086043,0.5046131,0.4987681,0.4931912,0.48854294,0.4831154,0.47494522,0.46415636,0.4542791,0.45032862,0.4551051,0.46723023,0.48140845,0.4928591,0.49982297,0.50459737,0.5100257,0.51703954,0.52313364,0.5237943,0.5156966,0.4997289,0.4834619,0.4766505,0.48530754,0.50197357,0.5098543,0.49100766,0.44308504,0.37808022,0.31570745,0.26796442,0.23747309,0.2197354,0.20997453,0.2057965,0.20787393,0.21966241,0.24333191,0.27668154,0.31063047,0.3348829,0.3436328,0.3398564,0.33106256,0.32408792,0.3208461,0.31945336,0.31751445,0.31719542,0.32810864,0.36364782,0.42894635,0.5096076,0.5739031,0.59208655,0.5565544,0.48597547,0.4100004,0.35046342,0.31375253,0.29516768,0.28829756,0.2894046,0.29858407,0.3155812,0.33842966,0.3619641,0.38174644,0.395353,0.40366217,0.40853295,0.4114884,0.41285154,0.41187978,0.40872073,0.40638843,0.41148332,0.4298689,0.45810905,0.4806756,0.4763324,0.43579218,0.3680587,0.29543975,0.23585403,0.19589616,0.17201091,0.15808278,0.15119004,0.15501249,0.18247788,0.24608542,0.34520856,0.45304012,0.53068537,0.54939127,0.5134618,0.45110062,0.39476904,0.35960194,0.3438805,0.33791792,0.3352772,0.335115,0.33930707,0.34755942,0.3558935,0.35893443,0.35477152,0.34702942,0.34282622,0.3478055,0.36229935,0.38206849,0.40082976,0.4141613,0.420215,0.41987392,0.41524997,0.40852904,0.401333,0.39446005,0.38882592,0.3854618,0.38535234,0.38849282,0.39346567,0.39790416,0.39924064,0.39765748,0.397262,0.405664,0.42520508,0.4478917,0.45655116,0.4399226,0.40207615,0.36017454,0.33019295,0.3172586,0.31720927,0.3230404,0.33066115,0.3393654,0.35147524,0.3685926,0.38930178,0.40782773,0.41848361,0.41899315,0.4122665,0.40278545,0.39318332,0.38224828,0.36620697,0.34221137,0.31288946,0.28847644,0.2866324,0.32069707,0.39191273,0.4771824,0.54638153,0.57321185,0.56003505,0.523992,0.48976874,0.46695864,0.45530573,0.447246,0.43914846,0.43186638,0.4287467,0.43113235,0.43667543,0.44243214,0.44742903,0.45478514,0.46960893,0.49831915,0.540555,0.5866502,0.61421466,0.6064742,0.5621881,0.50577736,0.46526334,0.45579228,0.46558723,0.47233102,0.46157584,0.43752453,0.4138837,0.39935604,0.3926644,0.38669384,0.37599578,0.3613857,0.35092595,0.3601593,0.39954838,0.4663953,0.534724,0.5754121,0.56967527,0.52808446,0.47533047,0.4385594,0.42811176,0.43967125,0.4593779,0.4756867,0.48445538,0.48764,0.4884193,0.48722717,0.48390916,0.47902295,0.4753051,0.4737412,0.474515,0.47606435,0.4785398,0.48117295,0.48323712,0.48345387,0.4827653,0.48379162,0.48820934,0.4955263,0.503031,0.5096958,0.5151858,0.5201957,0.52268165,0.51952475,0.5071458,0.48629177,0.46398094,0.45125774,0.45635763,0.4752287,0.49383068,0.4948118,0.4725751,0.43260908,0.38848758,0.34936583,0.31988046,0.29974118,0.28826496,0.28426513,0.28647903,0.29413554,0.30508184,0.31535193,0.3176966,0.3067993,0.28242984,0.2519216,0.22623403,0.21536787,0.22417885,0.2492641,0.280573,0.30774525,0.3306185,0.3631666,0.41971657,0.49901482,0.57241017,0.607811,0.5878446,0.5292769,0.45959532,0.4046055,0.37073144,0.35698414,0.35664132,0.36423925,0.37296715,0.37856606,0.38012007,0.37894908,0.37549675,0.36815572,0.35612878,0.3414935,0.32874027,0.32101697,0.31752262,0.31415024,0.30985713,0.3106515,0.32937944,0.37024367,0.42072237,0.45127296,0.44141212,0.39300096,0.3314043,0.28095803,0.25221694,0.2404507,0.23649861,0.23300068,0.2285592,0.23161376,0.26122445,0.3314058,0.43348297,0.5273085,0.5697715,0.5423041,0.46798456,0.38659707,0.33004224,0.3044651,0.2989783,0.2992781,0.29860285,0.2994173,0.30633017,0.32079434,0.3377831,0.35127726,0.35775676,0.3586967,0.35681686,0.35361138,0.34841028,0.34056535,0.33239222,0.32961944,0.34028432,0.36778414,0.40802702,0.44751737,0.47387812,0.48045734,0.4707884,0.45021275,0.42373648,0.39391682,0.36452198,0.33969343,0.32381824,0.32145795,0.3376727,0.37358224,0.4204438,0.46035036,0.47573316,0.46221614,0.42881027,0.39068902,0.35543093,0.32254767,0.2868147,0.24919768,0.21784405,0.20480083,0.21635379,0.24852562,0.2895045,0.3267413,0.3535488,0.36907402,0.37661597,0.37958136,0.38178077,0.3845345,0.38811973,0.39040336,0.3939837,0.40647832,0.44045505,0.49795952,0.5645079,0.6096758,0.6108807,0.566565,0.49928632,0.43492123,0.39008227,0.36613336,0.35797963,0.35931778,0.3669239,0.37950692,0.39658287,0.4161371,0.43459037,0.44781646,0.45494333,0.45944282,0.47138712,0.49814963,0.5400252,0.5786047,0.5926514,0.5676406,0.5179171,0.4710517,0.45201614,0.45822847,0.46780252,0.45963344,0.4316361,0.39873222,0.37561795,0.36751434,0.36997902,0.37708476,0.38510624,0.3939203,0.40780684,0.43290916,0.4727539,0.5192556,0.5552812,0.56285375,0.53945094,0.4985008,0.46177733,0.4423928,0.4405997,0.44616154,0.4490124,0.44282028,0.42695734,0.40213478,0.37066177,0.33441922,0.29737285,0.26329938,0.23610578,0.21705548,0.20551932,0.19853018,0.19268674,0.18624909,0.18176807,0.18658464,0.20835592,0.24896161,0.29982522,0.34672347,0.3780843,0.3928201,0.39737964,0.39953268,0.40284106,0.40794194,0.41441938,0.4224414,0.43289483,0.44823596,0.46796262,0.48579705,0.48878145,0.4701709,0.43471834,0.39810792,0.37097883,0.35421184,0.34090257,0.3266473,0.31117392,0.29606232,0.28180054,0.26922756,0.26135048,0.2623161,0.2738553,0.29331315,0.31501117,0.33358237,0.3460058,0.3513979,0.35014012,0.34306923,0.33323023,0.32717982,0.33771503,0.3763969,0.4452556,0.5233238,0.57843715,0.5826628,0.53820187,0.46888104,0.40699828,0.36786926,0.35162434,0.34759974,0.34799108,0.34838068,0.34823045,0.34669125,0.34334612,0.338312,0.33313456,0.32958928,0.32905695,0.332718,0.34125313,0.35356334,0.36602882,0.3751447,0.3820355,0.39326575,0.41528273,0.44329453,0.46021894,0.44548842,0.3952067,0.3246012,0.25932172,0.21457386,0.19125013,0.18019201,0.17304093,0.16864647,0.17453136,0.20778553,0.27915636,0.38398695,0.48823634,0.5546127,0.557815,0.51045513,0.4411647,0.38212278,0.34449446,0.32617036,0.31658188,0.30951166,0.30416915,0.30433452,0.31314394,0.32958743,0.34834793,0.36355624,0.37261525,0.37722242,0.38068637,0.38533366,0.391095,0.3963084,0.3991618,0.3993512,0.3990496,0.40153524,0.40874496,0.41834763,0.4246826,0.42199054,0.4101074,0.3952718,0.38709417,0.39046112,0.402331,0.41421735,0.42095122,0.42600092,0.43805262,0.45995817,0.4814763,0.4841243,0.45731398,0.40716115,0.35276142,0.31110698,0.28941175,0.28668654,0.29778054,0.31667694,0.3342112,0.34410724,0.34307387,0.33449653,0.32147512,0.3075184,0.295181,0.28961277,0.29477245,0.30954477,0.32489064,0.32950765,0.3174703,0.29576907,0.28192794,0.29912964,0.3586788,0.45203626,0.5444669,0.59982604,0.59777975,0.551094,0.4867146,0.43076047,0.39233145,0.3697919,0.35696125,0.35049394,0.35005486,0.35714522,0.3714075,0.38943434,0.40466252,0.41423503,0.42223403,0.4416257,0.48277947,0.54414076,0.6053342,0.63947934,0.63059956,0.58726615,0.5363525,0.5014767,0.48628306,0.47352228,0.44603384,0.40228507,0.35891107,0.33328378,0.33033442,0.34007525,0.3479145,0.34459388,0.33320656,0.32825518,0.34997022,0.4070544,0.4873174,0.5569254,0.58672214,0.569227,0.5262727,0.485015,0.4624108,0.45610198,0.45725712,0.458097,0.4582353,0.4602959,0.46815538,0.4817625,0.49834016,0.51177436,0.5180113,0.51524657,0.5068168,0.49691427,0.48985216,0.48565507,0.4828184,0.47930586,0.47630322,0.4758471,0.47873208,0.4816691,0.47985673,0.47042885,0.45578352,0.44111213,0.43107364,0.4255511,0.4219037,0.41662613,0.41066888,0.4082944,0.4167768,0.43773136,0.4625298,0.4716785,0.44799364,0.3902104,0.31555972,0.24745928,0.20000726,0.17407037,0.16364735,0.16538723,0.18195368,0.21798706,0.27206635,0.3314627,0.3767986,0.39312387,0.3793049,0.34731507,0.3141667,0.29323718,0.28905758,0.2979262,0.31108248,0.32127836,0.32851276,0.34278646,0.37967575,0.4454236,0.5264247,0.59031844,0.61013085,0.5819079,0.5278345,0.47519422,0.44028255,0.42360005,0.4186969,0.42006406,0.42563692,0.4346029,0.44442654,0.45021054,0.44670808,0.43210837,0.41016233,0.38947514,0.37850985,0.38096675,0.39267743,0.40459955,0.4079537,0.40195692,0.3951689,0.40134826,0.42584464,0.4595754,0.4818139,0.4779935,0.44871476,0.40920797,0.3751057,0.35410735,0.34491232,0.34324297,0.3472564,0.35933173,0.38583422,0.43250751,0.4970069,0.56197304,0.5998494,0.5896831,0.5342602,0.4599526,0.39913583,0.3706306,0.37277317,0.39162806,0.41216806,0.42661393,0.43454695,0.43933985,0.44345772,0.44573793,0.44441333,0.4396684,0.43623737,0.43801525,0.44425103,0.4479562,0.44258645,0.42772868,0.41027832,0.3994622,0.40119597,0.41518378,0.43513095,0.45206916,0.45936635,0.45617512,0.4467219,0.43534705,0.42339635,0.4096292,0.39413616,0.38129902,0.3784416,0.39199254,0.41938058,0.44858286,0.46198764,0.45074907,0.41912675,0.381634,0.3514992,0.33609584,0.33848956,0.35682595,0.38405406,0.40706655,0.41648737,0.41120198,0.39880875,0.38699257,0.3790015,0.37375173,0.3690845,0.3646445,0.36140022,0.3603498,0.35978553,0.35523114,0.34333608,0.32817125,0.32578394,0.3551241,0.42296612,0.50820017,0.57299227,0.58573955,0.5471585,0.48520347,0.434826,0.4137253,0.41910753,0.4367982,0.45409405,0.46484184,0.4687787,0.46747112,0.46132532,0.44868264,0.42877316,0.40713146,0.3969854,0.41448367,0.46356776,0.52906823,0.57830197,0.58579546,0.5490514,0.49601933,0.4608742,0.4614108,0.4848076,0.50255585,0.4947023,0.4631251,0.4261438,0.39925706,0.38702932,0.38224402,0.37676525,0.36756262,0.36186585,0.37352493,0.41209686,0.47296187,0.5329526,0.5670368,0.5621162,0.5298482,0.49259317,0.47052434,0.46695626,0.47380424,0.479772,0.47919536,0.4710039,0.45348334,0.4227802,0.37681904,0.321893,0.27072603,0.23532261,0.2192114,0.2184876,0.22696221,0.24021573,0.25576222,0.27108085,0.2840452,0.29255292,0.29559705,0.29225102,0.2824445,0.26702788,0.24849819,0.23125285,0.22049148,0.22006111,0.22903518,0.24102937,0.24704845,0.24091625,0.2225991,0.19664694,0.16824168,0.14029714,0.11423006,0.09139646,0.073668584,0.062202945,0.056718487,0.055628482,0.056955863,0.05907069,0.0609335,0.062108397,0.062428996,0.061892122,0.060452167,0.05822602,0.055402596,0.05226535,0.04889284,0.045346614,0.041847274,0.039021734,0.037513256,0.03745356,0.038193766,0.03872529]