[0.0035504845,0.008190463,0.020756138,0.041522723,0.06732442,0.091908835,0.10953787,0.11820684,0.119748496,0.117108576,0.11250319,0.107174575,0.10220472,0.09854559,0.09686628,0.09790281,0.10237681,0.11039732,0.12006054,0.12811562,0.13155025,0.12964176,0.12383622,0.11673042,0.11081684,0.107717186,0.10769236,0.109426536,0.110836774,0.11040302,0.108006954,0.104800165,0.10219589,0.1014275,0.10290653,0.10610188,0.109693386,0.11287963,0.11664664,0.122601785,0.13092017,0.13860227,0.14225383,0.14046408,0.1352301,0.12906112,0.12349665,0.1185101,0.11386096,0.10933048,0.104736656,0.10022811,0.09639489,0.094111465,0.09333518,0.09313742,0.09222094,0.09010669,0.0872477,0.084540665,0.08296094,0.08313632,0.08538633,0.08935142,0.09463572,0.101178415,0.1089586,0.11692726,0.12260097,0.12416643,0.12191238,0.11832593,0.115283936,0.11336861,0.11247634,0.11318147,0.11592975,0.11960855,0.1220892,0.121711075,0.11881912,0.114648215,0.11024276,0.10564861,0.10052305,0.09474207,0.08869503,0.083299555,0.07955036,0.078020476,0.07833157,0.079429835,0.080278486,0.08058544,0.08062518,0.08072092,0.08086931,0.08107715,0.08159823,0.08268368,0.08402455,0.08478629,0.08422563,0.08230385,0.07947431,0.07617909,0.0724971,0.068437226,0.06431269,0.06083926,0.058903705,0.05897118,0.060771715,0.06315858,0.06480667,0.06483459,0.06338047,0.061293244,0.05972436,0.059552807,0.061163396,0.06427283,0.068113245,0.07188049,0.07523132,0.07834409,0.08192464,0.08723563,0.09630159,0.11031353,0.1279756,0.14432706,0.15373914,0.1529466,0.14341635,0.12933679,0.11544064,0.10471452,0.098309636,0.095716186,0.095724456,0.09723583,0.099592716,0.10239556,0.10520593,0.10819441,0.112709515,0.12023103,0.13054018,0.140261,0.14539641,0.14387368,0.13755448,0.12986623,0.12363266,0.119541295,0.1170716,0.11549151,0.114430904,0.11387372,0.11404113,0.11507917,0.11669112,0.117964156,0.11805906,0.11676419,0.11463652,0.11234126,0.110511504,0.10985282,0.11094213,0.113528885,0.116144694,0.1172039,0.11607319,0.11349884,0.11064267,0.10853312,0.10788592,0.10891962,0.11120596,0.11386356,0.1171436,0.12240473,0.13089193,0.14068983,0.1475622,0.14756101,0.1410221,0.13152559,0.123430036,0.118705235,0.11738304,0.11831006,0.12022946,0.121784486,0.12194433,0.12028378,0.11688464,0.11218273,0.10664377,0.100947134,0.09569529,0.091518305,0.089209735,0.08968479,0.0935012,0.099917434,0.107470505,0.114986025,0.12236365,0.12940978,0.1346807,0.13610248,0.13296263,0.12702896,0.121311046,0.11804894,0.11795958,0.12048149,0.12451685,0.12823747,0.12987494,0.12818183,0.123507835,0.11714151,0.11077753,0.10545719,0.10161865,0.099115975,0.09757302,0.096392095,0.09493438,0.09263378,0.0892792,0.08504654,0.08053557,0.07651486,0.073646724,0.07210825,0.07154038,0.07146637,0.0717672,0.07274518,0.07444012,0.07619374,0.07685679,0.07574054,0.07301579,0.06950321,0.06593361,0.062837355,0.060690284,0.060176093,0.06202257,0.0668559,0.07523853,0.08756765,0.10359632,0.12197963,0.14062792,0.15778808,0.17280762,0.18586762,0.19739342,0.20756571,0.21648775,0.22376712,0.22865097,0.23007353,0.22854185,0.22685616,0.2308004,0.24522658,0.2708857,0.30085894,0.3247949,0.33420455,0.32873875,0.3143829,0.29864195,0.28427926,0.26869535,0.24790867,0.22207731,0.19745022,0.18226337,0.18111677,0.191795,0.20761383,0.22160275,0.22900836,0.22821237,0.21968438,0.20665646,0.1928917,0.18186039,0.1741427,0.16885698,0.16445722,0.16044618,0.15709502,0.15532722,0.15641826,0.1613854,0.17007099,0.18035443,0.18888055,0.19277196,0.19135243,0.1862859,0.18039326,0.17619897,0.17511941,0.17724563,0.18129574,0.18520753,0.18724073,0.18735254,0.18708058,0.18862039,0.19288416,0.19922835,0.20564966,0.21103317,0.2157507,0.22189784,0.23040907,0.24023831,0.24804051,0.25155059,0.25038388,0.24633384,0.24084277,0.23495303,0.22954835,0.22614782,0.22578119,0.22788604,0.2305941,0.23229201,0.23247772,0.2308171,0.22586383,0.21598698,0.20146996,0.18578528,0.17329751,0.16657467,0.16510119,0.16716707,0.17141469,0.1770709,0.18273793,0.18633538,0.18651587,0.18423098,0.18262015,0.18500507,0.1926593,0.20400943,0.21533924,0.2227993,0.22384872,0.21833964,0.20788455,0.19512402,0.18302262,0.17437166,0.17119592,0.1731407,0.17754453,0.18032406,0.17892127,0.17344232,0.16664301,0.16162592,0.16006716,0.16126281,0.16316243,0.16389705,0.16299765,0.16105928,0.15894826,0.15706109,0.1556464,0.1547573,0.154444,0.15436101,0.15451263,0.15511702,0.15658449,0.15822934,0.15845622,0.15549056,0.14911628,0.14086215,0.13303758,0.12714787,0.12340344,0.12138388,0.12055998,0.12055606,0.12090237,0.12170267,0.12375931,0.12839662,0.13644366,0.14808251,0.16329713,0.18254179,0.2065977,0.2357369,0.26865602,0.30192888,0.33094275,0.351212,0.3599284,0.3559309,0.34064254,0.31814924,0.2948685,0.27710828,0.26879847,0.27188826,0.28577837,0.30782965,0.32984126,0.3425838,0.3391534,0.3230928,0.30356717,0.2911797,0.28924072,0.29501927,0.3005135,0.2976255,0.28140366,0.25370482,0.22208987,0.19527696,0.1781485,0.17055427,0.16954213,0.17217493,0.17667729,0.18240851,0.18922906,0.19737269,0.20673798,0.21712734,0.2280712,0.2402199,0.25468487,0.27196047,0.28918448,0.30125976,0.30451846,0.30063236,0.29479215,0.29042026,0.2863407,0.27985463,0.27090406,0.26206577,0.25555697,0.2519867,0.25115633,0.2516389,0.2501089,0.24309373,0.23162365,0.22103499,0.21652901,0.21755354,0.21996833,0.22072113,0.22112964,0.22411157,0.23078358,0.23979771,0.24927121,0.25853792,0.26718068,0.2742195,0.2781626,0.27896446,0.2779338,0.27636856,0.27419862,0.27085197,0.26730952,0.26517507,0.26564124,0.26761743,0.2704496,0.27373222,0.2771581,0.2773262,0.27014545,0.25410286,0.23395598,0.21758614,0.21136196,0.2157477,0.22610457,0.23540701,0.23811823,0.23210572,0.21918394,0.20318489,0.18798752,0.17572533,0.16699457,0.16140771,0.15804039,0.15548675,0.15196203,0.14635964,0.13896103,0.13176234,0.1270366,0.12575413,0.12635666,0.12605004,0.12280085,0.11706486,0.11122352,0.107889585,0.10848555,0.11238513,0.1175481,0.12122271,0.12177504,0.11941702,0.11619345,0.11439153,0.11501756,0.11728731,0.119538,0.12055481,0.12023932,0.11902813,0.117355265,0.115447015,0.11375236,0.112870716,0.11324832,0.1150133,0.11813686,0.1224932,0.1278144,0.13360675,0.13945766,0.14500977,0.15008773,0.15490158,0.16031794,0.16761614,0.17718811,0.1878078,0.19680522,0.20191835,0.20248358,0.199507,0.19434778,0.18807435,0.18177378,0.17702836,0.1750982,0.17539452,0.17505173,0.17039685,0.15953727,0.14371987,0.12675993,0.11273908,0.10445872,0.10343155,0.110578515,0.12536085,0.14445612,0.16217525,0.17418627,0.17994253,0.18247129,0.18461554,0.1875835,0.190154,0.19045435,0.18705575,0.18233436,0.18329185,0.19832487,0.22987954,0.26954266,0.30155632,0.3119254,0.29767102,0.2686769,0.2418797,0.23170735,0.24223183,0.2670351,0.29394853,0.31313464,0.32111457,0.3209841,0.31782284,0.31469268,0.31162146,0.30806053,0.30517372,0.3054502,0.3106493,0.32010654,0.33178067,0.3432664,0.35305163,0.35860732,0.35681072,0.34478894,0.32409012,0.30111924,0.2843728,0.27824947,0.28007516,0.28307942,0.28235662,0.27858198,0.2743242,0.27049133,0.26424888,0.2553743,0.24727838,0.246697,0.25500572,0.26811662,0.2789557,0.2849209,0.28751683,0.28870392,0.28852972,0.28617528,0.28238773,0.2768418,0.2683911,0.2568403,0.24597497,0.24097405,0.2426188,0.24817376,0.25370207,0.2602767,0.26927567,0.2821435,0.29513633,0.30388322,0.30220297,0.28842404,0.26570082,0.24430694,0.23320325,0.23405921,0.23868269,0.2387562,0.23376583,0.23259114,0.24365817,0.26722932,0.2929977,0.30706906,0.29991436,0.272203,0.23508257,0.204376,0.19372064,0.20702714,0.23827368,0.273772,0.30031762,0.30942538,0.3003914,0.27722207,0.24730419,0.21910162,0.20193185,0.20134515,0.21615088,0.23779298,0.25709125,0.26939484,0.27532697,0.2756205,0.26881412,0.2543329,0.23803307,0.23083586,0.23949897,0.25754505,0.2689229,0.2616616,0.23826985,0.21188992,0.19426863,0.18986823,0.19713049,0.21333615,0.23374748,0.25324324,0.26756105,0.27699098,0.28408453,0.29150596,0.2998326,0.30840674,0.31525895,0.31704623,0.3097593,0.29072228,0.26042137,0.223458,0.1876772,0.16229065,0.15280777,0.15842283,0.1715645,0.18406397,0.19109297,0.19281363,0.19168632,0.19124083,0.19680029,0.21359932,0.2436469,0.28115606,0.31551898,0.33615887,0.33826026,0.3238088,0.30044723,0.27921137,0.2699571,0.2768276,0.29630217,0.31928945,0.33663926,0.34162128,0.33289567,0.3144051,0.2941809,0.2794548,0.27060917,0.26341122,0.2527226,0.23990053,0.22901072,0.22556812,0.23217304,0.24928059,0.27219436,0.29040396,0.2925925,0.27454647,0.24480774,0.21855463,0.2084391,0.21705043,0.23801583,0.2614492,0.27920258,0.2880609,0.28850433,0.28280416,0.27258745,0.26015338,0.24919488,0.24480969,0.24930914,0.26074114,0.27373433,0.28405356,0.29055157,0.2943816,0.29692242,0.2984147,0.2978576,0.29352033,0.2844401,0.27323568,0.26555553,0.26692292,0.27705082,0.2906195,0.301573,0.3087474,0.31487158,0.32196912,0.32779443,0.3269486,0.31690577,0.30079293,0.2865531,0.27975714,0.28065896,0.28537115,0.29063737,0.29582837,0.30025724,0.30275515,0.30124626,0.29625642,0.28933117,0.28212872,0.27320328,0.2587447,0.23548423,0.20474137,0.1740265,0.15306972,0.14936502,0.16416478,0.19340368,0.22858603,0.26069084,0.2831906,0.29522434,0.3000047,0.30187967,0.30344233,0.3052211,0.30601275,0.30303654,0.2931296,0.27462688,0.24960549,0.2230079,0.20010228,0.18347013,0.17302305,0.16756432,0.16628204,0.16851391,0.17309123,0.17844833,0.183221,0.18656039,0.18774714,0.18619059,0.1817417,0.17517437,0.16768928,0.16035272,0.15379633,0.14885114,0.14688851,0.14959066,0.15811892,0.17200583,0.18854953,0.20297177,0.21075292,0.21011794,0.20343624,0.19522448,0.18947136,0.1879645,0.1908071,0.19725646,0.2056484,0.21364921,0.21901916,0.22145015,0.22243923,0.22452135,0.22945823,0.23805396,0.24946396,0.26139545,0.27074757,0.27589345,0.2780184,0.28022373,0.28467038,0.29067072,0.29424283,0.29183534,0.28321794,0.27504826,0.27536368,0.28834322,0.30787742,0.32247093,0.32212022,0.30603,0.28238514,0.26312658,0.2566218,0.26353613,0.2773403,0.28895906,0.290704,0.28105828,0.26473233,0.25200963,0.250748,0.26219392,0.27906206,0.2931545,0.30027544,0.30203542,0.3011292,0.29873934,0.29489926,0.29076257,0.28911987,0.29140663,0.29542938,0.2947373,0.28424072,0.26477575,0.24490154,0.2342283,0.23671442,0.24820884,0.26046464,0.26710823,0.2664465,0.26160195,0.25782284,0.2589505,0.26519904,0.27272868,0.2773871,0.27691522,0.27241293,0.2657083,0.2583059,0.25108236,0.24611314,0.24650459,0.2542909,0.26766574,0.28078178,0.2879137,0.28753427,0.2829493,0.277499,0.27112165,0.2627087,0.25490078,0.2545551,0.2659366,0.28615728,0.30735958,0.32360205,0.3328799,0.33438694,0.3251768,0.3029258,0.2691677,0.23164272,0.19935201,0.178613,0.1695358,0.16942386,0.17607455,0.19024886,0.21254362,0.24005544,0.26493162,0.27823547,0.27467337,0.25657302,0.23342924,0.21816385,0.22019267,0.24004805,0.26899967,0.29509914,0.31020886,0.31336007,0.3083408,0.30017844,0.2919738,0.2848287,0.27800795,0.2717388,0.2674875,0.26725426,0.26953685,0.26982382,0.26364946,0.25185162,0.23972099,0.23380871,0.23672326,0.24694097,0.25966915,0.27038333,0.27633214,0.27705392,0.27311012,0.26453015,0.25105396,0.23305088,0.21355921,0.19803233,0.19226347,0.19842263,0.21365851,0.23180316,0.24768524,0.258832,0.2654136,0.26797915,0.267087,0.26172796,0.25030228,0.2316574,0.20964128,0.19236012,0.18861932,0.20024602,0.22188061,0.24456827,0.26207414,0.2706702,0.26808286,0.25317287,0.23000734,0.20835835,0.1994846,0.20831482,0.23032737,0.2545205,0.27034226,0.2729284,0.26444653,0.25146142,0.24072523,0.23548599,0.23489843,0.23532408,0.23318328,0.22669744,0.21736486,0.20994008,0.21022618,0.2212318,0.239623,0.25701186,0.26488033,0.259832,0.24470179,0.22534168,0.20703708,0.19203568,0.18007936,0.17016964,0.16323249,0.16293052,0.17306964,0.19382572,0.21968918,0.24253313,0.25576708,0.25760666,0.250301,0.23836155,0.22592856,0.21579657,0.20909207,0.20683809,0.2097903,0.2176338,0.22639656,0.23021752,0.22517128,0.21434079,0.20515512,0.20342207,0.20715852,0.21138977,0.21383464,0.21873198,0.22938834,0.2442776,0.2569041,0.26258764,0.2602397,0.25095055,0.23510806,0.21321058,0.18759559,0.162749,0.14306724,0.13073792,0.12530589,0.12492546,0.1277812,0.13273239,0.13915767,0.146845,0.1563329,0.16973116,0.18961994,0.2168079,0.24781196,0.27714813,0.3009508,0.32004568,0.33707175,0.35328877,0.36658642,0.37394726,0.37310854,0.36397246,0.34771112,0.32751474,0.3075321,0.2923964,0.28435662,0.28336033,0.28771457,0.296293,0.3080733,0.32084474,0.33127177,0.33683455,0.338064,0.33724427,0.3364532,0.3357544,0.3347397,0.3331001,0.3314682,0.3301444,0.32925665,0.32795373,0.32495725,0.31935978,0.31261265,0.30825523,0.30950823,0.31563857,0.32255098,0.3258513,0.32449841,0.32053304,0.31677923,0.3155214,0.3175567,0.32483062,0.3398205,0.3674506,0.40647304,0.44920754,0.47928122,0.48805702,0.47653905,0.45745957,0.43971062,0.42714596,0.41722742,0.4087974,0.4014666,0.3963808,0.39311442,0.3906958,0.38709816,0.38170874,0.37459612,0.36647096,0.35674128,0.34491837,0.33197275,0.3219998,0.31977478,0.32739636,0.3419763,0.357365,0.36817852,0.37173346,0.36845946,0.35995075,0.34938216,0.3404443,0.3366815,0.34023765,0.35181618,0.37260512,0.40035212,0.42950988,0.44863653,0.45187345,0.4402665,0.4241461,0.4111215,0.403713,0.39904523,0.39494467,0.3922305,0.3927556,0.39719474,0.40323916,0.40790853,0.40925118,0.40744486,0.40298083,0.39523265,0.38220134,0.36389914,0.3437096,0.32880053,0.32350174,0.3279121,0.3361791,0.34405842,0.34944236,0.3541616,0.35836628,0.36023536,0.3559325,0.34380284,0.32804313,0.31842068,0.32678154,0.35601965,0.39733684,0.4314851,0.44523516,0.43727872,0.41910973,0.40157405,0.3892212,0.3800126,0.37094393,0.36157128,0.35329032,0.3487902,0.34996638,0.3578194,0.3710587,0.3865957,0.40005973,0.40813693,0.40987766,0.40698108,0.4011152,0.39209446,0.37794328,0.3580779,0.33556637,0.31647494,0.30663303,0.3080906,0.31829855,0.33161882,0.34303936,0.3504634,0.35513628,0.35889554,0.36198488,0.36203647,0.3561994,0.3435072,0.32625246,0.308748,0.294607,0.2850151,0.27892724,0.2750593,0.27300382,0.2729443,0.27455997,0.27709922,0.28012505,0.28373036,0.28753257,0.29042444,0.292093,0.29466522,0.30179524,0.31581244,0.3352085,0.35566545,0.3716333,0.37935862,0.3773476,0.36743987,0.35301188,0.3379228,0.32537305,0.3177723,0.3165693,0.32052365,0.32751906,0.33605513,0.3493165,0.3698158,0.39620468,0.41904482,0.4299965,0.42651474,0.4143678,0.39963982,0.38528144,0.37141,0.35847855,0.34783575,0.3395448,0.3320438,0.32342723,0.31372127,0.3050735,0.2998514,0.29852095,0.2989236,0.29809535,0.29531172,0.2936664,0.29811367,0.31038117,0.32623005,0.33862194,0.34412417,0.3459065,0.34940413,0.35718748,0.36715078,0.37557685,0.3790907,0.37497613,0.36258757,0.34484768,0.3290454,0.3209019,0.3210349,0.32371163,0.32351184,0.31847227,0.31029463,0.29969686,0.28460297,0.26275817,0.23574094,0.21010919,0.1926257,0.18602826,0.1890648,0.19935586,0.21495222,0.23120995,0.24124826,0.23742594,0.21773447,0.1870355,0.15778705,0.14361916,0.15245165,0.18063281,0.21542905,0.24401705,0.26053163,0.26744327,0.26987824,0.27185193,0.27441344,0.27754128,0.28093913,0.28477952,0.28898203,0.29280233,0.29449132,0.29253945,0.2870934,0.2804195,0.2751489,0.27245906,0.27179995,0.27236113,0.27414504,0.2777842,0.28377077,0.29189262,0.30108836,0.30953753,0.31540355,0.3178586,0.31726483,0.31433958,0.30929995,0.30227557,0.2943337,0.28711665,0.28158644,0.27653348,0.26964742,0.25875124,0.24282153,0.22170709,0.19659667,0.17146607,0.15188326,0.14170547,0.13940631,0.14005591,0.14012958,0.13945417,0.13930477,0.1387927,0.13706231,0.13413699,0.13192451,0.13150108,0.13513182,0.14750338,0.17332478,0.21147244,0.25265804,0.28666648,0.30868462,0.32088292,0.32645074,0.32781553,0.3271238,0.32707557,0.3284905,0.32898316,0.3257959,0.31809607,0.30713823,0.29272464,0.2732151,0.2472765,0.21697314,0.18773101,0.16617255,0.15828592,0.16605727,0.18813817,0.21921341,0.25592864,0.29479143,0.33258215,0.3614178,0.3753254,0.37349224,0.36264673,0.35037616,0.34091493,0.3349811,0.3319795,0.33133852,0.33291662,0.33787227,0.3492577,0.36598286,0.38208318,0.38710463,0.3799305,0.36590204,0.3540989,0.34269562,0.32743236,0.30563453,0.28362834,0.26676676,0.2563819,0.2492619,0.24341105,0.23971641,0.24105634,0.25110915,0.27109945,0.29676232,0.31731704,0.3222233,0.30976304,0.2889332,0.27211025,0.26527476,0.26589552,0.26740918,0.26517358,0.2603244,0.25919935,0.271957,0.3025739,0.34423146,0.37758556,0.38744697,0.37229118,0.34701458,0.3280288,0.32311746,0.32957247,0.33859453,0.3421091,0.33438146,0.31806436,0.30197296,0.2978166,0.3096144,0.3310149,0.34942496,0.3549609,0.34606972,0.32767633,0.30754414,0.2924943,0.28627327,0.28941527,0.29889926,0.3132335,0.3299975,0.34777758,0.3603594,0.3647822,0.3599358,0.3511059,0.3416125,0.33435485,0.32906246,0.3255099,0.32192516,0.3176092,0.3146781,0.31766152,0.32916823,0.3459988,0.3620987,0.37311807,0.37825593,0.37746283,0.37007508,0.3574939,0.34355238,0.3325924,0.3252094,0.3190303,0.31084982,0.29914096,0.2857031,0.2760301,0.2789172,0.29884824,0.33130857,0.36090067,0.37392673,0.36650035,0.34737,0.3271669,0.311661,0.30099228,0.29429308,0.2916232,0.2932763,0.29912362,0.3097309,0.32325804,0.3348395,0.33589777,0.32371387,0.3021226,0.28154695,0.26894423,0.26912102,0.28246725,0.3076211,0.3367873,0.36055174,0.37178198,0.37103108,0.3624443,0.34929585,0.3318682,0.30943993,0.28328654,0.2566341,0.23483723,0.22382645,0.22805656,0.24755597,0.27706882,0.3100992,0.34133697,0.36702287,0.38197422,0.38213134,0.36870256,0.3491201,0.33133805,0.31836045,0.3090869,0.30292568,0.301219,0.3065637,0.3199406,0.34197125,0.36704895,0.38606533,0.38736072,0.37247512,0.3511548,0.33744684,0.33211395,0.33138537,0.3298423,0.3292977,0.32849255,0.32462093,0.3148433,0.30471888,0.30255342,0.3130864,0.3316355,0.35055614,0.36163273,0.36090484,0.34619907,0.3244332,0.30653104,0.3040531,0.31640938,0.3349508,0.34759465,0.3480296,0.3365967,0.32036602,0.3112403,0.3161441,0.33189866,0.34304187,0.33968338,0.3241068,0.31167412,0.3130362,0.32830918,0.34897923,0.36635718,0.37557483,0.37324718,0.359982,0.33894077,0.31709254,0.29885724,0.2865034,0.28067863,0.28295243,0.29457238,0.31325695,0.3344995,0.35248885,0.3642182,0.36984292,0.37345576,0.38109648,0.39415374,0.4081161,0.41238376,0.40290752,0.3828542,0.36286008,0.34794846,0.3368639,0.3234763,0.30531895,0.2864416,0.27495852,0.27918896,0.29852915,0.32488656,0.34380364,0.35000893,0.34565532,0.33934548,0.331843,0.32121763,0.3056772,0.2910952,0.28472057,0.2910609,0.30769506,0.3277986,0.3428993,0.34883806,0.34770608,0.3500553,0.36457768,0.39346778,0.42375267,0.44090474,0.43469787,0.41025367,0.3779498,0.3492677,0.3295605,0.3200041,0.318939,0.32429036,0.3355851,0.350458,0.36254373,0.3614665,0.34305212,0.31462285,0.29172957,0.28575513,0.296967,0.31873104,0.34226787,0.36106503,0.36765465,0.35921097,0.33719006,0.30953613,0.282491,0.2600591,0.24398746,0.23737518,0.24292763,0.2593583,0.28123388,0.30164164,0.31658792,0.3263731,0.33510146,0.34951177,0.3726343,0.40097192,0.42244133,0.42801547,0.41690812,0.39940497,0.38556626,0.38027963,0.38121673,0.38407457,0.38612378,0.3878536,0.3929309,0.40332118,0.41671064,0.42543283,0.42444703,0.4142593,0.40077803,0.38754556,0.3751588,0.36231956,0.3494731,0.33638275,0.32209328,0.3054894,0.28864816,0.27480105,0.26721337,0.26684397,0.2756052,0.2918458,0.3101106,0.3183869,0.31084728,0.2916046,0.2750337,0.27109054,0.27936932,0.29133275,0.2993976,0.30285615,0.30620313,0.31602013,0.33410707,0.35462782,0.3650005,0.35642454,0.3325012,0.30801722,0.2978432,0.30591777,0.32681426,0.34928954,0.3645587,0.365491,0.35331798,0.33418322,0.31950712,0.31529334,0.32209837,0.33395872,0.3459445,0.35516894,0.36194178,0.36639988,0.36816463,0.36638317,0.3625864,0.36103162,0.36802575,0.38500127,0.4066811,0.4210762,0.42128512,0.4082745,0.39119688,0.3760222,0.36360517,0.3499731,0.33248258,0.31129822,0.29066452,0.2776082,0.27829543,0.2915043,0.30775645,0.31618357,0.31477332,0.30904758,0.30451563,0.29917863,0.28973043,0.27630165,0.26497045,0.26082596,0.26662147,0.2812561,0.3015984,0.3235997,0.34499955,0.36809716,0.3929983,0.41470954,0.42047253,0.40464625,0.37238407,0.3404076,0.32125962,0.31871697,0.3273035,0.33993328,0.35101822,0.35829744,0.36356857,0.37149104,0.3842024,0.3965989,0.39792717,0.38176784,0.35152236,0.31932494,0.29650906,0.29047093,0.30069235,0.3217905,0.34172988,0.35115132,0.34545898,0.33042994,0.31342903,0.30115905,0.2943827,0.29284474,0.29573414,0.30370548,0.3152984,0.32762218,0.33662304,0.34190103,0.34623083,0.35603848,0.37369677,0.3957908,0.41067162,0.40982935,0.39260566,0.36922488,0.34959042,0.33820692,0.33239946,0.32890084,0.3264024,0.32542792,0.32540128,0.3249291,0.3233976,0.32292375,0.32581034,0.3317324,0.33588108,0.33259428,0.31980908,0.30187964,0.2866862,0.27991065,0.28070498,0.28351548,0.2830614,0.27827835,0.27077284,0.26252654,0.2545636,0.24874926,0.24762924,0.25465897,0.27189162,0.30027723,0.33390245,0.36180794,0.36999965,0.3570362,0.33390477,0.31927326,0.32052702,0.33290005,0.34425393,0.34731713,0.34055427,0.32712138,0.3115956,0.29892638,0.2911524,0.2860721,0.27951375,0.27056503,0.26368722,0.2643205,0.2738454,0.28740203,0.299075,0.30512872,0.306435,0.30523404,0.30460036,0.30592862,0.30973592,0.31454638,0.31935236,0.32281116,0.3235775,0.31848755,0.30571935,0.28720054,0.2694602,0.25892612,0.25731936,0.26139572,0.26616105,0.26886356,0.2688525,0.2671459,0.26588067,0.268809,0.2805002,0.30229148,0.33004114,0.353124,0.36036643,0.34669125,0.3188537,0.29308566,0.28476337,0.29824653,0.32413703,0.34865502,0.36336792,0.36874628,0.36854815,0.36520875,0.35882077,0.35031405,0.34156743,0.33508042,0.33156085,0.33077058,0.33208832,0.33589873,0.34273818,0.35087153,0.35649619,0.3557372,0.34884918,0.33834454,0.3258616,0.3100188,0.29036272,0.27170023,0.26235148,0.2686571,0.28828692,0.31242073,0.33000934,0.33654693,0.3342378,0.33060277,0.3298775,0.33205655,0.33304954,0.33086625,0.32630312,0.32170483,0.3176029,0.31125024,0.30066714,0.28747413,0.279639,0.28552368,0.30940965,0.34617066,0.38344553,0.40606368,0.40649113,0.39078188,0.3770437,0.37959826,0.39819285,0.41697392,0.421793,0.41025794,0.39373288,0.3843437,0.38680363,0.3964528,0.40573636,0.4118296,0.41698933,0.42558348,0.43535396,0.4401863,0.43317583,0.41800213,0.4026157,0.39551607,0.3935876,0.3899074,0.3769327,0.35645548,0.33530962,0.3232151,0.32502222,0.3383312,0.3550024,0.36781538,0.37693962,0.38826916,0.40494028,0.4211668,0.4244118,0.4087532,0.37901345,0.3492624,0.3288776,0.3206074,0.32053402,0.32516003,0.3326716,0.34371528,0.36146998,0.38582364,0.41220263,0.4293023,0.4316078,0.4203502,0.4041296,0.38777158,0.37376484,0.36380735,0.35984454,0.36056828,0.36015353,0.35538062,0.34745264,0.34107292,0.33715472,0.33483955,0.33390644,0.3378867,0.34925938,0.36652628,0.38401747,0.39679906,0.40374383,0.40807045,0.41484252,0.42773905,0.44459045,0.45712343,0.45470178,0.43446743,0.40269995,0.37144223,0.34673962,0.32827103,0.3115785,0.29580364,0.28442657,0.2837375,0.29974213,0.3301029,0.3648571,0.38711753,0.3909754,0.37961042,0.3653364,0.35205606,0.3419912,0.3351401,0.3356857,0.3427613,0.3519014,0.35844943,0.36276236,0.36882696,0.37904033,0.393693,0.41069916,0.42518523,0.42956915,0.41618904,0.3871646,0.35391498,0.332206,0.3273019,0.3332266,0.33858076,0.3379147,0.33463392,0.33679232,0.35167536,0.3768623,0.40178326,0.4103471,0.39844415,0.37374857,0.35334817,0.3456436,0.35084864,0.3626752,0.37563908,0.38419685,0.38301054,0.37165546,0.3553094,0.34265438,0.33722743,0.33619273,0.33346665,0.32547414,0.31454727,0.30594608,0.30608964,0.31625935,0.33438325,0.35524145,0.37750816,0.40173432,0.42685565,0.4458393,0.4495362,0.4358281,0.41056034,0.38392746,0.36136094,0.34492418,0.33484712,0.33242598,0.33794534,0.3498001,0.36653963,0.38488212,0.40110502,0.40817985,0.40524483,0.39504114,0.38535058,0.37733993,0.37051007,0.36249065,0.35549858,0.35031816,0.34768566,0.3466736,0.3487041,0.35414493,0.36409497,0.37825897,0.39709663,0.4153459,0.42522153,0.4183598,0.39797115,0.3734013,0.355449,0.3443171,0.3356117,0.32570052,0.31779352,0.318799,0.33358827,0.36295176,0.3986051,0.42790425,0.43625358,0.4215691,0.39270866,0.36619687,0.35164177,0.35099062,0.3607228,0.37516287,0.38660434,0.385103,0.3669274,0.3371828,0.30995193,0.296766,0.3010964,0.31588843,0.33059263,0.33703753,0.33400154,0.32586122,0.32012388,0.32312384,0.339137,0.36767018,0.40407595,0.43712738,0.45439127,0.4468832,0.41815165,0.38125142,0.35238647,0.33920217,0.33974576,0.3461044,0.35223436,0.35768056,0.3659509,0.38113427,0.39935005,0.4120976,0.40874815,0.39192724,0.3702927,0.35495675,0.3439661,0.33192697,0.31393948,0.29368114,0.27674866,0.26852283,0.2720616,0.2871211,0.30897334,0.33081564,0.35041562,0.37272808,0.4004588,0.42702368,0.43553793,0.41668937,0.37467536,0.32848725,0.2958714,0.28788027,0.30286923,0.33057234,0.3574535,0.3765136,0.39196062,0.41021797,0.43167135,0.44650528,0.44965532,0.44329688,0.4347007,0.423337,0.40585127,0.38545242,0.37273666,0.37647498,0.39202118,0.41039446,0.4232321,0.42915916,0.42595437,0.41404954,0.39769152,0.384889,0.3812209,0.3845668,0.39008912,0.3926461,0.3922387,0.3907529,0.39283052,0.40170875,0.41640982,0.4305928,0.43504772,0.42624763,0.40692842,0.38557586,0.36747178,0.3543408,0.3441386,0.33522543,0.32820103,0.32559395,0.3325566,0.3495121,0.3726605,0.3906393,0.39806178,0.3927969,0.38061643,0.362927,0.34485507,0.329807,0.32326466,0.3220366,0.32123622,0.31737375,0.31493738,0.31775498,0.3262703,0.3383282,0.35566998,0.37884954,0.4011612,0.4080586,0.39173844,0.3589363,0.32835874,0.3142242,0.31950057,0.33660555,0.35722497,0.37707663,0.3967124,0.41816974,0.43884096,0.45161167,0.44745085,0.4268186,0.39907023,0.37776408,0.3683389,0.36840034,0.37255362,0.37732983,0.38049853,0.37816432,0.36723292,0.34747198,0.3238052,0.30434275,0.29661915,0.30405152,0.32227755,0.3430543,0.3581325,0.36566353,0.36784998,0.36802754,0.3678507,0.36925972,0.37627438,0.38992596,0.4061844,0.41615167,0.41823658,0.41499797,0.41189408,0.40513957,0.39448372,0.38093182,0.37206745,0.36607227,0.359279,0.3465719,0.33099496,0.31698525,0.30922797,0.31038877,0.31914595,0.3302568,0.3356808,0.3356694,0.33857623,0.3519969,0.37041044,0.3765726,0.3616072,0.33216736,0.30843985,0.30354312,0.32027185,0.35118076,0.384673,0.40862846,0.41430143,0.4058888,0.3941964,0.390421,0.3934563,0.39860824,0.40177688,0.4040687,0.40444326,0.40017495,0.39084053,0.37983742,0.3714144,0.36572015,0.3636111,0.3669257,0.37718853,0.3893044,0.39692238,0.39941862,0.40280548,0.41075313,0.41841662,0.4183108,0.40836248,0.39375386,0.38027665,0.37043667,0.3636426,0.3581625,0.35122347,0.3399997,0.3255504,0.3138099,0.31320402,0.32704884,0.35325214,0.385039,0.41530403,0.43558276,0.43945262,0.4261744,0.40359297,0.3828752,0.37192097,0.37117383,0.37693885,0.3841233,0.3899274,0.3927622,0.3931488,0.39121476,0.38706675,0.3798755,0.3702046,0.35986686,0.3504591,0.3412306,0.32992855,0.31746265,0.3083677,0.30923665,0.3227948,0.34973106,0.3859736,0.42475644,0.45252892,0.4597253,0.44558522,0.42344773,0.40778807,0.4058925,0.41427684,0.42577347,0.4357398,0.44181213,0.44289827,0.43675184,0.42345202,0.40610194,0.39293346,0.39321354,0.41158652,0.44201097,0.4692967,0.47925138,0.46755752,0.4414749,0.41234133,0.39007786,0.38143396,0.38851368,0.40750715,0.427569,0.4390323,0.43828642,0.4300966,0.41976187,0.4093913,0.39841893,0.38838574,0.3840381,0.39010254,0.40761027,0.43398523,0.4626944,0.48741952,0.50235015,0.5097862,0.51227355,0.5112555,0.49807823,0.46839955,0.42494845,0.3816427,0.34865943,0.32921013,0.31924236,0.31461373,0.31297454,0.31309184,0.31428704,0.31601596,0.3185601,0.32227576,0.32733798,0.33335856,0.33995542,0.34795856,0.359648,0.37645125,0.39532623,0.4082431,0.40915564,0.40137473,0.39870524,0.4117497,0.43752515,0.4573182,0.45495674,0.42747483,0.38848045,0.35375324,0.33389592,0.33093044,0.34238407,0.36327755,0.3867955,0.4063579,0.4156907,0.4120791,0.3972348,0.38107824,0.3769904,0.39238873,0.42084774,0.44543323,0.4547427,0.44873658,0.4375334,0.4278172,0.42289934,0.42184258,0.42389622,0.4268477,0.42968705,0.43571973,0.44732034,0.46225512,0.46854076,0.45890367,0.4353089,0.41136733,0.39768574,0.39723447,0.40662944,0.4206383,0.43559453,0.44789144,0.458838,0.4705745,0.48308262,0.48785996,0.475329,0.44362962,0.40285888,0.36719322,0.34511968,0.33573782,0.33268163,0.32968238,0.3246571,0.3191202,0.31631383,0.31752825,0.3221703,0.32839265,0.3352158,0.34209839,0.3487494,0.35559884,0.36425447,0.37727854,0.39501047,0.4156107,0.4362905,0.45736495,0.47934428,0.49861446,0.504966,0.48993325,0.4559723,0.41764393,0.39157343,0.38544664,0.39542744,0.41072538,0.42033002,0.41760233,0.4020252,0.37937912,0.35798267,0.3469887,0.35202968,0.3757136,0.41185048,0.44823906,0.4684628,0.4651887,0.44196674,0.41134942,0.38419524,0.36646774,0.36109817,0.3673648,0.38171053,0.39454052,0.39887676,0.39150047,0.37815282,0.36654654,0.36465564,0.37358522,0.38819495,0.39939472,0.4025408,0.4004741,0.4006172,0.40657997,0.41652587,0.42664644,0.43835822,0.453711,0.47105384,0.47940293,0.4705627,0.4439846,0.41199815,0.38637912,0.3742248,0.372762,0.37718913,0.38368723,0.39239323,0.4043808,0.41817555,0.4285866,0.42911342,0.41656426,0.39511892,0.3733789,0.36233708,0.36728394,0.39006197,0.4223465,0.4533429,0.46936134,0.46953046,0.46027637,0.45260298,0.44731688,0.44055024,0.4306126,0.42150855,0.41889283,0.42238912,0.43265453,0.44914606,0.47132754,0.4903741,0.49742875,0.49095488,0.47842392,0.46851102,0.46252477,0.45973948,0.45882633,0.4604739,0.4614283,0.46009114,0.4590881,0.46308956,0.47115704,0.47383484,0.46597567,0.4491687,0.43219092,0.41746116,0.4070498,0.40397826,0.41293696,0.43023086,0.44281137,0.44156528,0.42771396,0.41196886,0.39983428,0.3919904,0.38747767,0.38866225,0.39869925,0.41729668,0.4439623,0.47425294,0.50154454,0.5132117,0.50323194,0.47458014,0.44071296,0.41209581,0.3928522,0.38061175,0.37316394,0.36960468,0.36922267,0.37000737,0.36888418,0.36445045,0.35790244,0.35271204,0.35080007,0.35077038,0.34867683,0.34237242,0.33405796,0.3293287,0.33239186,0.34443128,0.36402443,0.3916595,0.42453107,0.45523897,0.46915758,0.4598261,0.4329529,0.40692472,0.3950294,0.40014377,0.41429472,0.42892316,0.43844125,0.44188443,0.43991956,0.4338083,0.42412147,0.4135778,0.40804556,0.41533056,0.43630865,0.46099475,0.47192106,0.4593612,0.42856312,0.39697996,0.37974253,0.38174367,0.39719316,0.41599905,0.42862847,0.42948917,0.41887394,0.40257454,0.38831234,0.38042036,0.37790963,0.3761706,0.37143895,0.36352262,0.356398,0.356446,0.36671528,0.38512743,0.40450907,0.4223552,0.43936613,0.45646825,0.46578622,0.45904323,0.43631375,0.40933165,0.39019573,0.3818014,0.3792012,0.377828,0.37821272,0.383863,0.39475885,0.405598,0.40762603,0.39763072,0.38114968,0.36928657,0.36757097,0.3714569,0.37178043,0.36525604,0.35720256,0.3546718,0.35953858,0.3696191,0.38546184,0.40908715,0.4389914,0.46473423,0.47696078,0.47339717,0.46138528,0.4470924,0.43236837,0.4165409,0.4016826,0.39291272,0.39346373,0.40274897,0.41608515,0.4289118,0.43942055,0.4495735,0.4632127,0.4795201,0.4921137,0.49072933,0.47332287,0.44676337,0.42435756,0.4132913,0.414536,0.42398694,0.43736362,0.44979,0.45756325,0.46174487,0.46508527,0.46832502,0.46481502,0.4503468,0.4269807,0.40464666,0.39050674,0.38658163,0.39156422,0.4029131,0.4170203,0.42810822,0.43555006,0.4440265,0.45906234,0.47622433,0.48312724,0.47022232,0.4401532,0.4048384,0.37548503,0.35759118,0.35247418,0.35966894,0.37595567,0.39449152,0.40732074,0.4106044,0.4056097,0.3974336,0.38994095,0.38581094,0.38566998,0.39009723,0.39767304,0.40487993,0.40602258,0.398288,0.3857597,0.38120428,0.39532724,0.42829922,0.46443364,0.48737487,0.48970857,0.4790959,0.46559262,0.45522842,0.4467572,0.43803465,0.4286468,0.41964832,0.41071185,0.3996584,0.3859689,0.3744818,0.37545392,0.39759755,0.4382747,0.4808329,0.5033872,0.49626365,0.46810612,0.43811825,0.41963208,0.4148016,0.41976845,0.43029487,0.44268286,0.45084503,0.4506347,0.4416335,0.42928562,0.41844392,0.4119935,0.4085392,0.40582475,0.40211976,0.3989865,0.4006355,0.40966877,0.42383072,0.43721095,0.44767347,0.45933843,0.4759668,0.49325594,0.49876788,0.48571265,0.45865598,0.4316126,0.41294673,0.40205947,0.39171484,0.37797698,0.3620738,0.34912694,0.34332415,0.34649873,0.35734627,0.37386408,0.39339092,0.41393483,0.4318306,0.44502118,0.4532425,0.46169582,0.47231233,0.48368624,0.48730457,0.48159567,0.4679921,0.45316696,0.43760312,0.424963,0.42069557,0.4306905,0.45101163,0.4700595,0.48181602,0.48870304,0.49684536,0.50227094,0.49803254,0.48180008,0.46126905,0.44505644,0.43670657,0.43740892,0.44639727,0.46053776,0.4703033,0.47059098,0.4654174,0.4654988,0.47421098,0.48432192,0.48787764,0.48266983,0.47244298,0.45809993,0.44228706,0.43045905,0.42989495,0.4402556,0.4522656,0.4570731,0.4522728,0.4433368,0.43483767,0.42981878,0.42747673,0.42513242,0.4186441,0.40787518,0.40055314,0.40534297,0.42304587,0.44153035,0.44895932,0.4417734,0.42689154,0.41066626,0.39564526,0.38222703,0.37216485,0.36798194,0.36986196,0.3761016,0.38345435,0.38905215,0.39082527,0.3895534,0.38770437,0.38696173,0.38525775,0.37952837,0.36958766,0.3592501,0.35292888,0.35312995,0.3630863,0.38626873,0.42236903,0.46132302,0.4884692,0.49538994,0.48581544,0.47012982,0.45551488,0.4434073,0.4327323,0.42350885,0.41629383,0.41053084,0.40442887,0.39653707,0.3880076,0.38407078,0.39319792,0.42026308,0.4603943,0.49749222,0.51611274,0.51126796,0.4917803,0.4704207,0.4561316,0.45146883,0.4537547,0.45809808,0.4587673,0.45516133,0.45107302,0.45109317,0.45464858,0.45621577,0.45301095,0.44597745,0.4401535,0.43699816,0.4372501,0.4399102,0.4440888,0.44654214,0.44445825,0.43940744,0.43599105,0.43552294,0.43132344,0.41404113,0.38098326,0.33883008,0.29867435,0.2677413,0.24807121,0.2378835,0.2352428,0.23781554,0.24261332,0.24560101,0.2437555,0.23674427,0.22721006,0.21815442,0.21069418,0.20334989,0.19419228,0.18310225,0.17215103,0.1641226,0.16001894,0.1589036,0.15861471,0.15784301,0.15640125,0.15503053,0.1540175,0.15291464,0.15075423,0.14733388,0.14341922,0.14037742,0.1386501,0.13741635,0.1350132,0.13055183,0.12465946,0.11890226,0.11456191,0.111610055,0.109431066,0.10742217,0.10586693,0.10534081,0.106230594,0.10818764,0.110411994,0.11230555,0.1137737,0.11509643,0.116407506,0.11783566,0.12060488,0.12813626,0.14534552,0.1747212,0.21282923,0.2505618,0.27908924,0.2948476,0.30029273,0.29917732,0.293022,0.2804865,0.26046628,0.2354248,0.2119406,0.19788493,0.19678283,0.20669131,0.22167401,0.23688225,0.24897163,0.25681198,0.26001498,0.25959584,0.25681388,0.25279608,0.24849516,0.24496543,0.24365497,0.24544476,0.24993365,0.25471473,0.25625876,0.25318226,0.24716634,0.24207167,0.23855734,0.23488706,0.22851752,0.22040515,0.21216631,0.20464431,0.19693501,0.18904804,0.18228243,0.17824638,0.17855054,0.18435393,0.19679122,0.21421915,0.23277538,0.2454422,0.24584639,0.23069935,0.2047681,0.1803544,0.17055236,0.18050838,0.20305544,0.22616357,0.24050635,0.24493076,0.24182014,0.23427574,0.22410852,0.21454597,0.2092521,0.21055447,0.21629053,0.22166914,0.22184984,0.21573858,0.20524363,0.19418366,0.18520243,0.17938817,0.17627782,0.17578347,0.17900006,0.18752837,0.20170514,0.2192079,0.23649311,0.2500923,0.25755093,0.2561517,0.24374062,0.22038394,0.19023468,0.15956508,0.1336779,0.1143414,0.10071683,0.090985775,0.08385978,0.07845921,0.07414415,0.07037254,0.06691254,0.06386419,0.061472382,0.059850145,0.05883959,0.058127727,0.05745626,0.05673719,0.05597909,0.055171296,0.054258715,0.053247914,0.052241087,0.051390994,0.050742876,0.050236154,0.049776893,0.04935498,0.048992913,0.04861558,0.048022453,0.047061484,0.045864042,0.044820815,0.044301942,0.044361312,0.04481085,0.0454714,0.046354014,0.04746918,0.04866493,0.049675554,0.050388645,0.050901383,0.051289458,0.051408444,0.050979745,0.049917012,0.048427705,0.04692544,0.045733903,0.044994023,0.0448357,0.04621403,0.051977713,0.06660014,0.09371557,0.13236083,0.17598514,0.21531081,0.2433862,0.2580506,0.26079297,0.25455728,0.24226336,0.22700423,0.21221685,0.20443301,0.21493559,0.25525025,0.3246384,0.40228865,0.45761982,0.4722688,0.45249435,0.4194456,0.3910519,0.37258124,0.36144438,0.35388243,0.3489808,0.34687445,0.34760395,0.34887227,0.34787497,0.3432592,0.33786213,0.33542967,0.33729008,0.3398963,0.3391986,0.33366612,0.32572505,0.31846896,0.3141922,0.3136233,0.3163511,0.32102644,0.32565394,0.3290976,0.33075252,0.3308017,0.329585,0.32895842,0.33246619,0.34354666,0.36299202,0.38646734,0.40656972,0.41608274,0.41259846,0.3996446,0.3838153,0.37093315,0.36194977,0.3552356,0.3483964,0.3427345,0.34051633,0.343717,0.349857,0.35538688,0.3566816,0.35436797,0.3500259,0.34623256,0.34247613,0.33809733,0.33177474,0.32560098,0.323108,0.32916057,0.34448627,0.3649226,0.3816758,0.38744763,0.38010648,0.3638278,0.3460687,0.33398616,0.33179644,0.33854857,0.34871233,0.35473275,0.35220405,0.34194455,0.32861868,0.31711504,0.310698,0.31133893,0.31887174,0.32989648,0.3383642,0.34003523,0.33656892,0.333434,0.335292,0.3413323,0.3486487,0.35422936,0.3579763,0.3597416,0.35988292,0.35802087,0.35472918,0.35055867,0.3467861,0.34402218,0.34172153,0.33742118,0.32910022,0.31764898,0.30700532,0.3009225,0.2996422,0.30051377,0.30037084,0.29782796,0.2925671,0.28526103,0.277252,0.27102423,0.26840064,0.26933852,0.27145863,0.27222538,0.2706165,0.26792523,0.26655284,0.26872262,0.2748848,0.28329048,0.29029855,0.29262695,0.28907183,0.28138676,0.2726902,0.26550913,0.26043543,0.25655213,0.25364232,0.25399658,0.2629945,0.28493774,0.31899226,0.35601702,0.38417354,0.3946084,0.38784906,0.37126353,0.35638234,0.35249865,0.36321643,0.38383618,0.40430894,0.41588473,0.41606662,0.4090252,0.40065274,0.39462936,0.39129674,0.3895454,0.3890654,0.390177,0.39316857,0.39691234,0.4000565,0.40122095,0.40038583,0.39773014,0.3943676,0.39058697,0.3867915,0.38251856,0.37840453,0.37529245,0.3741739,0.37466213,0.3756115,0.37635478,0.3768572,0.3774899,0.37763372,0.37692225,0.37578294,0.3761468,0.38057646,0.39053106,0.4056007,0.42193708,0.43438444,0.43828404,0.4330037,0.42147794,0.40833974,0.39727843,0.38936523,0.3841416,0.38029316,0.3780869,0.3782313,0.38113704,0.38483563,0.38641378,0.38449475,0.38078117,0.37884703,0.38057616,0.38497174,0.3893769,0.39247522,0.39491066,0.39786497,0.4016776,0.40608153,0.41114494,0.4169254,0.42275468,0.42687902,0.42775235,0.42492673,0.4194503,0.4130741,0.40677068,0.40051746,0.3928789,0.38341865,0.3724569,0.36175933,0.35216275,0.34402028,0.33763573,0.33394387,0.33395556,0.33689645,0.3413385,0.34506473,0.34692255,0.34552494,0.340919,0.33456874,0.32921,0.3266513,0.3258504,0.32477176,0.3214059,0.3161527,0.30943325,0.30220446,0.2945989,0.28783354,0.28367746,0.28457472,0.29181525,0.30428803,0.31858176,0.3305916,0.33801007,0.34033415,0.33880034,0.33445156,0.32876801,0.32204047,0.31440833,0.3045257,0.29252163,0.28003773,0.27229312,0.2737944,0.28635946,0.30573794,0.3254931,0.3399677,0.34768164,0.3493701,0.34586534,0.33686328,0.322373,0.30405915,0.2848638,0.2674726,0.2538897,0.24654908,0.2487623,0.26292095,0.28675804,0.31294334,0.33189487,0.3384807,0.33377495,0.32389876,0.31476274,0.31067917,0.31410182,0.32471406,0.3384178,0.3474987,0.34730577,0.3393366,0.33056888,0.32625863,0.32606733,0.326273,0.32326123,0.317385,0.31047034,0.30592635,0.30528295,0.30876425,0.3133993,0.3156571,0.31310916,0.30694032,0.3007839,0.29859343,0.30252966,0.31254902,0.32715094,0.3438233,0.3600451,0.37384668,0.38468945,0.39212313,0.39514294,0.39167526,0.3812426,0.36581388,0.3506453,0.34150824,0.34265864,0.35354128,0.36853692,0.3799782,0.38309953,0.3793873,0.37378988,0.3711581,0.3728285,0.37811732,0.3848866,0.391313,0.39568207,0.39810693,0.39951658,0.401662,0.4043962,0.4069921,0.40727648,0.40466198,0.39891532,0.39205292,0.38495836,0.37826476,0.37046015,0.36200777,0.3545932,0.3518463,0.35534975,0.36428642,0.37556005,0.38569352,0.39232278,0.39581248,0.39978027,0.41069806,0.4289981,0.4474448,0.45039654,0.4329859,0.40313348,0.3803897,0.3737572,0.37893656,0.38183096,0.37320367,0.35215226,0.32348263,0.29289734,0.26447603,0.24109773,0.22376591,0.2120229,0.20406687,0.1983472,0.19391382,0.19047719,0.18754853,0.18451469,0.18078178,0.17633109,0.17167206,0.16775922,0.1654885,0.16537912,0.1671973,0.17039223,0.17432912,0.1788977,0.18361545,0.18779959,0.19016995,0.19056623,0.18966489,0.18908083,0.1893758,0.19009592,0.18984364,0.1879717,0.18483372,0.18182983,0.18025912,0.18083759,0.18313633,0.18591243,0.18764335,0.18932988,0.19588296,0.21691473,0.25723898,0.3117672,0.36276433,0.39653555,0.41109344,0.4142548,0.4084061,0.38595113,0.3430092,0.28655437,0.2355075,0.20528585,0.20740695,0.24512823,0.31181058,0.3870192,0.4459095,0.47855738,0.4921054,0.49982652,0.5007947,0.48679724,0.45384642,0.4130845,0.37948522,0.36146727,0.35683736,0.358837,0.3633201,0.37177157,0.39116013,0.42552423,0.4691589,0.5048485,0.51776475,0.5068763,0.48527554,0.46580648,0.4511796,0.4371529,0.4209964,0.405966,0.39795402,0.40246427,0.42135546,0.44926438,0.47403312,0.48188582,0.46918955,0.44323945,0.41760322,0.3998624,0.3908368,0.38674986,0.38477096,0.38414744,0.38631824,0.39549896,0.41345617,0.4373735,0.45878556,0.4744161,0.48706737,0.5004881,0.5084662,0.49993858,0.47179428,0.4347292,0.4053876,0.39366505,0.4003977,0.41844472,0.43811795,0.4483409,0.44462946,0.42955104,0.413035,0.4027492,0.4017066,0.40671375,0.41356158,0.41997972,0.42725715,0.43884003,0.45618787,0.47629058,0.49288833,0.50320315,0.51184684,0.5247136,0.5389449,0.54101115,0.52047265,0.48161802,0.44130096,0.4138579,0.40195692,0.40026152,0.4030341,0.40992892,0.42288816,0.44622338,0.4783832,0.5127128,0.53516555,0.538312,0.5249743,0.5078708,0.49549296,0.48667422,0.47515044,0.4582964,0.44043982,0.42874506,0.42950645,0.44591597,0.47413674,0.5022992,0.5143415,0.5030446,0.47544715,0.44780698,0.4312307,0.42574057,0.424168,0.42081144,0.41619992,0.41562343,0.42590296,0.44698122,0.47244167,0.49064,0.49959016,0.50329477,0.50931287,0.5131081,0.5066001,0.48440936,0.45349976,0.42548624,0.40944287,0.4087895,0.42087063,0.43948933,0.45596954,0.46685338,0.47632417,0.4903544,0.5084359,0.51954645,0.51543355,0.49564764,0.4720478,0.45555544,0.45335504,0.4634029,0.4784902,0.49004272,0.49480483,0.49854064,0.5066615,0.5163257,0.5141662,0.49223182,0.45643532,0.42324588,0.40441585,0.40005288,0.40349734,0.40929064,0.41768456,0.4319706,0.45507517,0.48372412,0.50843614,0.51787734,0.50965935,0.49218795,0.478279,0.47342852,0.4743727,0.47520176,0.4731137,0.46869075,0.46393988,0.46324232,0.4716835,0.48922095,0.5064964,0.5093935,0.49220684,0.46261552,0.43631124,0.4226677,0.42096364,0.42381942,0.42624238,0.4278282,0.4319066,0.44223,0.45787966,0.4735144,0.4808136,0.48060572,0.4786378,0.4831041,0.4888622,0.48824418,0.47404167,0.45242286,0.43170905,0.42137125,0.42463955,0.44005847,0.4597871,0.4721397,0.47088918,0.45774236,0.4428495,0.43337354,0.43191126,0.43498203,0.4394782,0.44359264,0.44856074,0.45727384,0.4723043,0.4917686,0.5089717,0.51675874,0.5161558,0.51258403,0.5111563,0.50815576,0.5028145,0.4977783,0.49873233,0.50268483,0.50364923,0.5030687,0.507366,0.52024883,0.5314141,0.53448766,0.52950376,0.52700543,0.52936107,0.5349332,0.53875774,0.5387206,0.5332388,0.52269036,0.5142231,0.5126453,0.5171818,0.51694036,0.5110155,0.5071941,0.51670295,0.53498787,0.54970527,0.5549632,0.5560052,0.559172,0.5586837,0.54747456,0.52387613,0.49792814,0.4792404,0.47491315,0.485642,0.50569123,0.5234907,0.5295436,0.52741694,0.5293698,0.5421059,0.5568917,0.5602387,0.5517917,0.5424592,0.5430219,0.54928017,0.5553351,0.5556608,0.5539039,0.5496539,0.5478119,0.5517271,0.5652366,0.5812033,0.58928865,0.58416724,0.5686409,0.54850477,0.5251073,0.5025876,0.48586273,0.48003387,0.48091337,0.4837487,0.4887326,0.50024784,0.51659673,0.524839,0.51505786,0.48732924,0.45576325,0.43178454,0.42139038,0.42147115,0.42827737,0.4388261,0.4536349,0.4754777,0.5031001,0.52969766,0.54335284,0.54114455,0.52983874,0.5215525,0.5193172,0.5174163,0.5098496,0.49636257,0.4825053,0.4736153,0.47642207,0.49498045,0.52594143,0.5543749,0.5624127,0.5444572,0.5108167,0.4789181,0.45772675,0.44640526,0.43956217,0.43541017,0.4356356,0.44319668,0.4595298,0.48157597,0.50364786,0.519849,0.5323251,0.54518723,0.55923826,0.5638481,0.54949087,0.51706374,0.48042598,0.45502925,0.44825995,0.46059707,0.4845663,0.51016515,0.52402204,0.522239,0.50817055,0.4920181,0.47832808,0.46821913,0.4603064,0.45523962,0.45357624,0.45568955,0.46218133,0.47329792,0.48672757,0.49832082,0.50659084,0.5167026,0.5332119,0.5535735,0.5646327,0.5573552,0.5325226,0.5031465,0.47999597,0.4680687,0.46393654,0.46346197,0.46454212,0.47074115,0.48796678,0.5166664,0.5475816,0.5643461,0.5603683,0.54133874,0.52254343,0.51000303,0.50300205,0.4967278,0.49284768,0.4941109,0.5035203,0.521931,0.5476697,0.572655,0.5830271,0.5698884,0.53806657,0.5045311,0.48343173,0.47696602,0.47690678,0.47549376,0.4705436,0.46529838,0.46359012,0.4683621,0.47930846,0.49545717,0.51607233,0.5448195,0.5808835,0.6154657,0.6289893,0.61050725,0.564677,0.5123661,0.47226098,0.45422897,0.45856664,0.4781458,0.50208074,0.5182217,0.5266269,0.5341992,0.54854125,0.5610748,0.5587211,0.5344278,0.4995804,0.47092447,0.4611794,0.47106063,0.49487606,0.5228443,0.54738754,0.5659495,0.5824123,0.5983227,0.6074128,0.59790367,0.5661779,0.5217878,0.48188353,0.45790836,0.4514741,0.45688847,0.4674517,0.4787513,0.49013868,0.5040348,0.5190862,0.5303357,0.52942675,0.5192373,0.5072959,0.504186,0.5066259,0.5087877,0.50448936,0.49746957,0.4935576,0.49939346,0.5198791,0.5532511,0.5888395,0.6056587,0.59102696,0.54810137,0.49867073,0.46222177,0.44657758,0.44551873,0.44989875,0.45355937,0.45554575,0.45927104,0.46988246,0.4880599,0.50963837,0.5281401,0.54676676,0.56847936,0.5922263,0.6010613,0.5853253,0.54775095,0.50945,0.48658016,0.4849675,0.4980533,0.5161714,0.5299781,0.5324795,0.5225298,0.5044396,0.48628077,0.47339615,0.46696565,0.46414623,0.4619811,0.46004656,0.46075872,0.46847293,0.48238817,0.49859762,0.5102064,0.5208465,0.5366215,0.56169945,0.58494025,0.5938881,0.58561176,0.5700818,0.5584955,0.55288595,0.5541861,0.5612361,0.5738499,0.58256936,0.58275515,0.5753612,0.5682485,0.5617764,0.5512771,0.5370459,0.5249161,0.5211268,0.5198621,0.517021,0.5114469,0.5094574,0.51085573,0.5146365,0.52278304,0.5394764,0.5618734,0.5759949,0.5729411,0.55564404,0.53743726,0.52580684,0.5225455,0.52935356,0.5478397,0.57322794,0.59026295,0.5899844,0.5758113,0.56293416,0.5596344,0.5666919,0.57897216,0.5915634,0.597603,0.5914115,0.57600766,0.5601143,0.55129576,0.5461672,0.54103607,0.5353256,0.5324808,0.5305531,0.5265785,0.52421707,0.5296355,0.54346985,0.55292505,0.5504251,0.53674763,0.5233317,0.5133876,0.5070596,0.504143,0.5080077,0.5181377,0.52736443,0.5322624,0.5340416,0.53683347,0.5361015,0.5259464,0.5050766,0.48152733,0.46402326,0.45606324,0.45530915,0.45726028,0.45822024,0.45793268,0.46090683,0.47432956,0.4984111,0.5239405,0.5363445,0.5324783,0.5190522,0.50859326,0.50417966,0.5066007,0.513515,0.52366,0.5316043,0.5345161,0.5379128,0.5479227,0.56314087,0.5677075,0.5525252,0.5205613,0.49022472,0.47390068,0.47498706,0.48597825,0.4986221,0.50706077,0.5103264,0.5120301,0.5148651,0.5184805,0.5190098,0.5177858,0.5224316,0.53963476,0.56573397,0.58496934,0.5849929,0.5636731,0.53404063,0.5099899,0.50280094,0.51183814,0.52942836,0.54157895,0.53985876,0.5242513,0.5039988,0.48796192,0.48006424,0.47847173,0.47954795,0.48111007,0.4836261,0.48993537,0.50261456,0.51935303,0.53508526,0.544959,0.5533292,0.5638662,0.5761489,0.5772113,0.55988616,0.52673155,0.49333903,0.47051987,0.46098396,0.4598875,0.4633366,0.47007695,0.48118272,0.49880162,0.523736,0.55128103,0.5722528,0.5780561,0.57019955,0.5553591,0.54171276,0.5300668,0.5226857,0.5203655,0.52499974,0.5327974,0.5421603,0.55523014,0.5739028,0.59277725,0.5979993,0.5823455,0.5492721,0.513341,0.48480758,0.46739078,0.45750353,0.45202377,0.45080975,0.4578973,0.4780031,0.50917304,0.5407841,0.5591407,0.56150466,0.557102,0.5563044,0.55633694,0.54496205,0.5157898,0.4765639,0.4433011,0.42706153,0.43094406,0.44973743,0.4748497,0.49554792,0.5079829,0.515665,0.52550685,0.5361938,0.5387721,0.5261149,0.5013971,0.47591066,0.45916462,0.45507547,0.46256492,0.47800347,0.49721563,0.5174492,0.541913,0.57095665,0.5980702,0.605653,0.58566946,0.54493916,0.5053192,0.4806713,0.47292042,0.47357544,0.47690213,0.48117015,0.48879966,0.50271386,0.5232431,0.5444668,0.5558185,0.55098814,0.5343229,0.5165069,0.5052929,0.5003472,0.5002427,0.5035053,0.5106692,0.51988,0.53336185,0.5539522,0.57897526,0.59468293,0.5851221,0.5499546,0.50526124,0.47325623,0.46347883,0.47292528,0.49065027,0.506277,0.5128496,0.5091284,0.5017019,0.49784788,0.50258845,0.5128606,0.52826196,0.5470378,0.5690661,0.585646,0.5897589,0.57754105,0.5540376,0.526856,0.50406176,0.49301755,0.49585852,0.5092671,0.52255064,0.52880114,0.5260553,0.5197932,0.51380444,0.51022506,0.50914234,0.5117956,0.51984096,0.53345776,0.55166054,0.57039124,0.5845931,0.58895564,0.5844682,0.5781773,0.5779455,0.58525735,0.5937639,0.5991177,0.60057205,0.6021523,0.6037906,0.6058297,0.60916847,0.6156308,0.6231942,0.62592375,0.6222227,0.61391926,0.6052131,0.5950377,0.58372307,0.5729125,0.5652661,0.5588917,0.5510392,0.54357976,0.5408006,0.54488444,0.5526003,0.5630997,0.57668114,0.59067065,0.5959565,0.5858636,0.5677485,0.5544607,0.5547814,0.56155115,0.56915957,0.5750567,0.58380777,0.591842,0.5946455,0.58932513,0.5796853,0.56910664,0.5595084,0.5550518,0.56011856,0.5752278,0.59216684,0.60367376,0.6078891,0.606981,0.6003938,0.58557135,0.56602997,0.54844743,0.5388668,0.5356115,0.5385916,0.54872197,0.5662746,0.5826392,0.5879813,0.58033204,0.56710416,0.556235,0.54839104,0.5426485,0.5385662,0.5374858,0.53611404,0.5329934,0.530566,0.5344408,0.5438375,0.55078655,0.54846257,0.53770566,0.5262182,0.5193832,0.51818275,0.51911134,0.518606,0.51440597,0.50841165,0.50725317,0.51571196,0.5322504,0.54608077,0.5503047,0.5440617,0.53493947,0.52693343,0.52226967,0.5209596,0.5227072,0.5261454,0.52870274,0.5337538,0.5434912,0.55645317,0.56069237,0.5478778,0.519837,0.4901173,0.47134337,0.4675841,0.47468126,0.48561513,0.49508628,0.50112194,0.50560004,0.51271826,0.52457196,0.53974676,0.5542678,0.56789154,0.58055216,0.59065837,0.59057784,0.5770514,0.55357987,0.5302267,0.51336855,0.50411886,0.5018614,0.50566536,0.5142433,0.5222597,0.5271511,0.52945447,0.5340811,0.5423172,0.55192316,0.559121,0.5634501,0.56770104,0.57403326,0.5820244,0.58779746,0.587969,0.58198386,0.5753418,0.5763326,0.5880658,0.60358906,0.6090763,0.5981546,0.5759334,0.55545187,0.5449107,0.54517955,0.55281204,0.56409883,0.57801104,0.59302616,0.6097967,0.6229615,0.62815094,0.61853313,0.60074496,0.5824349,0.5734976,0.57078964,0.5717883,0.575452,0.58436614,0.59741735,0.6082633,0.6164977,0.62365705,0.6338528,0.6408388,0.6396447,0.6270043,0.60786766,0.5867768,0.56777006,0.55350536,0.5453496,0.5431821,0.5450688,0.55101514,0.5608513,0.5711561,0.5757812,0.57164615,0.56688565,0.569649,0.5814528,0.58797604,0.5801952,0.55814046,0.53648037,0.52456087,0.52523047,0.53261834,0.54079646,0.5462397,0.54891944,0.55327415,0.56055593,0.56829405,0.5673097,0.5542825,0.53193355,0.5100525,0.49576807,0.4934143,0.50498897,0.5282702,0.5567944,0.579305,0.59183955,0.5969262,0.6021972,0.60774297,0.60868436,0.6000924,0.5843616,0.568503,0.55807513,0.5538611,0.5527449,0.5516965,0.5503809,0.55242085,0.5624929,0.5807074,0.5999003,0.6094281,0.6051902,0.5910787,0.5753302,0.5612622,0.5498317,0.54199505,0.54055923,0.54689354,0.558865,0.5757091,0.5941148,0.60993797,0.6126843,0.59843725,0.5706082,0.5431711,0.52687955,0.526028,0.5362606,0.5515123,0.5671304,0.58153194,0.5949951,0.6066051,0.61358666,0.6125219,0.60497856,0.59707946,0.5939648,0.592449,0.5838644,0.56433773,0.5396207,0.5202343,0.5113693,0.5129998,0.52184254,0.53562355,0.549496,0.5594316,0.56314826,0.56361693,0.5644791,0.5679564,0.57252175,0.5744095,0.57001,0.5598052,0.5499134,0.5486004,0.55810934,0.5732601,0.58521,0.5925873,0.59794486,0.6040538,0.605627,0.5994976,0.58865464,0.5809562,0.5784747,0.5758006,0.5710133,0.56755644,0.5707101,0.5763843,0.5791313,0.5777998,0.57594585,0.57396406,0.56678134,0.5551061,0.5434473,0.5388208,0.5383067,0.53896475,0.53855354,0.53950065,0.54212487,0.5462682,0.55457956,0.5668152,0.5798303,0.5851586,0.5847234,0.5841345,0.5891623,0.5944836,0.59515554,0.593527,0.5937896,0.5954308,0.5895812,0.5772398,0.56409854,0.5588687,0.55842894,0.56016594,0.563752,0.5713806,0.5792723,0.58070725,0.57675475,0.57319087,0.5748234,0.5752629,0.5702153,0.5591133,0.5486936,0.5401425,0.53448796,0.5331536,0.5392762,0.5506004,0.5593128,0.56225926,0.5609146,0.5603842,0.5586936,0.5556365,0.5521803,0.5510449,0.54918975,0.54203254,0.5334924,0.53016824,0.53494686,0.53469706,0.51881945,0.48527694,0.44826794,0.4198847,0.40569124,0.4013406,0.40120852,0.4010508,0.3998525,0.3987235,0.39924967,0.4021038,0.4058387,0.4081596,0.40706372,0.4026978,0.39677742,0.3919191,0.38970685,0.39034832,0.3928733,0.3963629,0.40084216,0.40660307,0.41348872,0.41968963,0.42304218,0.4219428,0.4168687,0.40987083,0.403559,0.39975855,0.39910635,0.40134338,0.40599108,0.41203094,0.41895342,0.42598537,0.4332936,0.43951142,0.44335315,0.4427296,0.43801224,0.43048832,0.42288828,0.4166733,0.41240716,0.40907076,0.40554464,0.40172502,0.39895186,0.3990365,0.40186477,0.4059912,0.40949824,0.41222644,0.4142878,0.4162471,0.4186091,0.4229659,0.42969716,0.4370643,0.44135344,0.44124612,0.43866196,0.43747196,0.43823,0.4383787,0.43397498,0.42430404,0.41079462,0.39588273,0.38053653,0.36569476,0.35249782,0.34261987,0.3368822,0.33482465,0.33448458,0.332974,0.3278056,0.31810522,0.30532873,0.29181823,0.27970055,0.26938984,0.26017353,0.25049978,0.2395169,0.22732669,0.21496022,0.20310885,0.19185905,0.18094152,0.17057435,0.16130044,0.1534893,0.14693515,0.14112192,0.13559556,0.13018046,0.124862336,0.119785525,0.115009345,0.11039535,0.105607755,0.1004223,0.09514723,0.090364926,0.08651481,0.08337904,0.080342926,0.07689055,0.07297229,0.06898525,0.06535457,0.062284146,0.059589516,0.056987744,0.054269906,0.051446896,0.048536915,0.045507114,0.042310447,0.039039407,0.035926286,0.03316406,0.030808916,0.02874527,0.026840376,0.024990628,0.023170516,0.021381885,0.019647561,0.018030949,0.016661089,0.015747007,0.015451588,0.015741246,0.016279988,0.01660544]