[0.09365724,0.11792988,0.16783388,0.22134905,0.25763667,0.2656667,0.24890059,0.21907085,0.1893248,0.16705097,0.15352136,0.14530952,0.13743208,0.12535153,0.10688043,0.083477505,0.060056746,0.044098526,0.04415381,0.068125665,0.11891738,0.19029868,0.2665713,0.32955575,0.36730754,0.37814486,0.36773515,0.34340587,0.3112248,0.27526534,0.23852675,0.20248906,0.1678638,0.13493012,0.10490277,0.079216324,0.059612077,0.047839325,0.047171224,0.060486127,0.08733919,0.12045602,0.14912288,0.16502218,0.16733587,0.16079952,0.15130144,0.14261234,0.13631667,0.13230006,0.12822945,0.12002143,0.104234755,0.081834674,0.059296206,0.04705794,0.055677023,0.09209559,0.15522103,0.23328282,0.3064433,0.35568187,0.37329933,0.3651674,0.34469292,0.3224059,0.3027384,0.2863934,0.27463603,0.268979,0.26846752,0.27081442,0.27445564,0.28050187,0.28812698,0.29357687,0.29258966,0.28632936,0.2811748,0.28244427,0.289116,0.2943931,0.29216778,0.28188217,0.26897034,0.2610252,0.26295313,0.2745782,0.29072896,0.3042204,0.30853978,0.30093312,0.28294256,0.26044753,0.24048121,0.22888352,0.22682936,0.2311248,0.23496632,0.23263562,0.22166045,0.20464252,0.18600447,0.16976702,0.15711987,0.14720857,0.13775928,0.12601882,0.109727114,0.08851495,0.0649295,0.043298155,0.028444158,0.024884924,0.037893098,0.07072463,0.120945156,0.17676383,0.22283109,0.24810682,0.25236905,0.24291027,0.2285886,0.2151482,0.20500124,0.19784033,0.1914364,0.18274127,0.1708111,0.15757696,0.14677133,0.14079507,0.14056118,0.14648779,0.15915631,0.17708905,0.19554089,0.20795697,0.21049796,0.20369254,0.19165331,0.17880064,0.16944833,0.16712244,0.17376779,0.18691953,0.1997148,0.20431884,0.19714446,0.18094039,0.16286553,0.1511292,0.15276478,0.17132093,0.2041313,0.24109514,0.26885334,0.27812937,0.26846913,0.24657185,0.22040229,0.19500399,0.17154534,0.14912073,0.12624414,0.102219485,0.07773191,0.054947954,0.037120633,0.028858958,0.036907922,0.06865928,0.1258893,0.19810458,0.26331618,0.30052575,0.30264595,0.27961066,0.24751753,0.21812834,0.19465156,0.17610358,0.16008793,0.14442305,0.12677062,0.106216796,0.08389273,0.06296738,0.047497153,0.04204895,0.051315498,0.07747773,0.116995476,0.15885805,0.19017373,0.20270562,0.1977271,0.18229009,0.1644554,0.14911886,0.13814916,0.13048463,0.12269721,0.11042615,0.091670476,0.06951768,0.052107796,0.0498104,0.07124901,0.119099945,0.18710141,0.26045796,0.3226125,0.36368263,0.386054,0.39833507,0.4076244,0.4118093,0.40642214,0.3891844,0.36579975,0.34132954,0.31810775,0.29348674,0.26718178,0.24150129,0.22083472,0.20816898,0.20509076,0.21095149,0.22163944,0.2299849,0.22958918,0.21935497,0.20317376,0.18666105,0.17307174,0.16410787,0.15972571,0.15859623,0.15585385,0.14574434,0.12501292,0.09657832,0.06758133,0.046202395,0.039139178,0.051533725,0.084456265,0.13200678,0.18027681,0.2145613,0.22679196,0.21968497,0.20172256,0.18177114,0.16529913,0.15414922,0.14671093,0.13841803,0.124679424,0.10367781,0.07824412,0.05373611,0.035928383,0.029506734,0.03803499,0.062190216,0.09759826,0.13472553,0.16333641,0.17780983,0.1790228,0.17177178,0.16085309,0.14950798,0.13876314,0.12912433,0.12196771,0.12335196,0.14138754,0.18117373,0.23620696,0.29200256,0.3342575,0.35974917,0.37395647,0.3845272,0.3942268,0.4016668,0.40423882,0.4000003,0.38885006,0.37410715,0.36266652,0.36171722,0.37239906,0.38937816,0.40435806,0.41275764,0.4139444,0.40805706,0.39305767,0.3668704,0.33374557,0.30458263,0.2903578,0.29135138,0.29755864,0.29671,0.28375968,0.26039293,0.23111407,0.20068067,0.17376591,0.15360205,0.13857202,0.12365028,0.104136616,0.08045551,0.057131153,0.040287327,0.03543961,0.04648454,0.07338639,0.10907328,0.14076336,0.15656666,0.15271686,0.13471259,0.112461574,0.094835214,0.087468095,0.091468416,0.10280436,0.11232862,0.11136586,0.0967739,0.073391624,0.049660236,0.033552345,0.030475244,0.042873878,0.068396784,0.0983117,0.12058383,0.12686972,0.11753753,0.100468375,0.08611259,0.08430157,0.10306674,0.14504647,0.20411754,0.26494753,0.31298533,0.34097672,0.35139564,0.34759906,0.3326999,0.3117557,0.29645422,0.29846022,0.31929055,0.3477833,0.3692281,0.3776462,0.37748924,0.37724367,0.38112214,0.3877727,0.392241,0.3900011,0.37786403,0.3546232,0.31877682,0.2701659,0.21219033,0.15729362,0.12399892,0.13034952,0.18018854,0.259264,0.3374659,0.38544628,0.3866602,0.34530947,0.27967742,0.21344717,0.16494523,0.14094102,0.1349815,0.13250935,0.12136377,0.09871283,0.07107878,0.04757702,0.034989167,0.03710045,0.054488394,0.08337686,0.113624,0.13372475,0.13696529,0.12578286,0.107792504,0.0909709,0.08099508,0.08166426,0.09329923,0.11044527,0.1223898,0.11980281,0.1010137,0.07324001,0.047008276,0.030847585,0.029712906,0.045236398,0.07523509,0.111780144,0.14377503,0.16191518,0.16400325,0.1542754,0.14000233,0.12766938,0.12140303,0.1215907,0.12423977,0.12242056,0.1109266,0.09001878,0.06538031,0.044227857,0.032115985,0.032574836,0.046457272,0.07085269,0.09724245,0.11564804,0.11996755,0.11321942,0.106071435,0.11238545,0.14296915,0.19989984,0.27345884,0.34340855,0.38818052,0.39796916,0.38352987,0.3703046,0.37977234,0.41321895,0.4529504,0.4782144,0.4799857,0.4619478,0.43318915,0.40196657,0.3754746,0.3593874,0.35587642,0.36097237,0.36705062,0.36497614,0.3476952,0.31215888,0.2662164,0.22884594,0.2209323,0.24936934,0.30130717,0.35539806,0.3957747,0.4176294,0.42071125,0.4052471,0.37406877,0.33499822,0.29860616,0.27025095,0.25048944,0.23790266,0.23310082,0.23403893,0.23453857,0.22869731,0.21573378,0.1987449,0.17826603,0.1556214,0.13780926,0.13929053,0.16933757,0.22301956,0.2811121,0.32349643,0.34165287,0.3413918,0.33630607,0.33599868,0.3432442,0.35454753,0.36623564,0.37437487,0.3745152,0.36121014,0.32958713,0.28076884,0.22392356,0.17793395,0.16036867,0.177387,0.21580152,0.2529633,0.27022377,0.2624599,0.23505224,0.1977102,0.16167074,0.13830161,0.13557017,0.15128653,0.17273502,0.18274851,0.17126866,0.13999197,0.101126134,0.06943593,0.05674146,0.066170014,0.09128516,0.1175297,0.13146026,0.12758574,0.111062765,0.09126553,0.07628546,0.0702918,0.07398016,0.084385656,0.094510816,0.096570276,0.08667466,0.06771638,0.046704117,0.030734608,0.024866946,0.032948066,0.05608243,0.09008634,0.12374988,0.14485489,0.14691754,0.13321175,0.11244795,0.093780585,0.08385656,0.08610017,0.099251054,0.115664385,0.124403544,0.11765829,0.09633928,0.0687228,0.045162816,0.033173557,0.036529765,0.054092664,0.079865985,0.10314515,0.11501459,0.112289466,0.09954313,0.083872914,0.072009556,0.068470635,0.075050555,0.08887837,0.10160705,0.10409578,0.09241087,0.070969045,0.048353195,0.032201182,0.027028667,0.036029924,0.060581286,0.09720782,0.13583922,0.16588874,0.18534197,0.20318823,0.23010886,0.2668167,0.30293253,0.32609776,0.33087382,0.31925353,0.2990804,0.2834028,0.28736606,0.31726202,0.36191818,0.39899388,0.41312167,0.40563098,0.387007,0.36176503,0.32903996,0.29222146,0.26647267,0.2659538,0.291033,0.3259287,0.3538135,0.3676943,0.37100947,0.3691077,0.3650949,0.35980082,0.35482037,0.3525896,0.35643825,0.36759725,0.38420293,0.39977455,0.4075713,0.40359557,0.39111063,0.3760458,0.3646554,0.35775694,0.3566569,0.36118242,0.37054205,0.3748802,0.36398628,0.33590326,0.30532682,0.28797784,0.2865614,0.28818643,0.2845916,0.28238693,0.29502293,0.32232812,0.34733692,0.351388,0.3294764,0.29178932,0.25345647,0.22955109,0.22824013,0.2489276,0.2763076,0.29483023,0.29894176,0.30202398,0.31765303,0.34707224,0.3748788,0.38581434,0.37597927,0.35376963,0.3302267,0.31232998,0.3021334,0.29879427,0.30022308,0.303969,0.3088248,0.31356168,0.31548014,0.30897915,0.29176444,0.2687649,0.252814,0.25441,0.27471185,0.30318427,0.3257752,0.33213064,0.32072031,0.2963345,0.2681343,0.24635655,0.24003315,0.25156248,0.2729894,0.28963628,0.28761992,0.26237398,0.21814531,0.16552301,0.11517846,0.07506373,0.048109073,0.034206413,0.032898113,0.04453477,0.067551225,0.09556683,0.11862087,0.1288837,0.12495974,0.11148664,0.094991595,0.081104375,0.07400081,0.0752067,0.082322516,0.088255085,0.086188175,0.07365347,0.054895177,0.03667023,0.025345065,0.025537089,0.040950444,0.07219571,0.11356103,0.15270713,0.17658667,0.17859225,0.16170777,0.13517313,0.10958293,0.09324867,0.089671664,0.09608062,0.10358287,0.10279077,0.08943973,0.06742174,0.044997033,0.030557618,0.030041954,0.045924395,0.07564986,0.1115764,0.1459596,0.17735268,0.2098509,0.24628384,0.28180742,0.3090601,0.32403323,0.3293778,0.32888174,0.32685953,0.3279026,0.33751944,0.35626933,0.37809506,0.39285,0.39384255,0.380861,0.3584826,0.33241415,0.30630025,0.28221202,0.25929734,0.23490755,0.20514296,0.16966939,0.13365501,0.10510421,0.08821783,0.079576194,0.07200039,0.06058018,0.04614911,0.032762904,0.02469047,0.024830073,0.034392346,0.05176276,0.071474396,0.08624781,0.09099696,0.0857914,0.074777655,0.06314271,0.05492985,0.05244371,0.055700164,0.061795678,0.06564834,0.06302244,0.053265434,0.03959658,0.026954083,0.02011455,0.023410892,0.039580956,0.06748594,0.099693276,0.12531912,0.13579531,0.12999593,0.11328381,0.09351536,0.07736782,0.069204874,0.06970742,0.0751325,0.078162014,0.072992064,0.059036758,0.041282386,0.02625862,0.019372879,0.024597606,0.0433559,0.07246397,0.1032661,0.12800474,0.14671119,0.16750292,0.19768888,0.23526813,0.27065626,0.29445973,0.30442676,0.30431053,0.30158293,0.30346885,0.3151869,0.3345748,0.35278356,0.3577353,0.34516013,0.3214551,0.3003581,0.2905828,0.2903094,0.28954548,0.27906874,0.2556608,0.22190529,0.1839499,0.14922619,0.12378338,0.10862907,0.098848246,0.087572634,0.07136271,0.052301284,0.035629366,0.026853368,0.030912196,0.050466705,0.08337676,0.11986164,0.1468618,0.15475792,0.14346264,0.12025375,0.09479884,0.07445653,0.06281054,0.059468072,0.06039451,0.060201827,0.055176124,0.045416474,0.033758856,0.024296494,0.021427104,0.030362025,0.053359773,0.0862622,0.11639821,0.13105021,0.12502284,0.10468674,0.08069887,0.0617034,0.051272612,0.04992866,0.055740193,0.06393543,0.06806389,0.06371733,0.051497355,0.036316264,0.02446109,0.021487452,0.032077916,0.05783831,0.09483876,0.13287155,0.16274047,0.18408006,0.20641793,0.24047084,0.28669336,0.33448243,0.36778605,0.37651289,0.35921773,0.32380006,0.28193197,0.24525805,0.21987766,0.20662403,0.20414923,0.21561144,0.2448992,0.2907029,0.33864036,0.36968055,0.36942717,0.3378608,0.2872661,0.2383972,0.21216615,0.21829607,0.24781875,0.27612135,0.2823957,0.26344714,0.23600216,0.21882313,0.22025828,0.2329486,0.24593842,0.25337675,0.2607932,0.2757075,0.29988077,0.32220495,0.32791123,0.3075477,0.2656667,0.21577348,0.17312188,0.14589436,0.13328803,0.12811409,0.12305871,0.11517004,0.106013566,0.09917248,0.09827884,0.10681546,0.12619804,0.15340735,0.17932957,0.1939016,0.19171746,0.17618023,0.15645488,0.14377739,0.14803618,0.17428787,0.21975024,0.27233782,0.31751415,0.34450188,0.35039878,0.33642885,0.3074726,0.27306315,0.24888395,0.24928863,0.2783909,0.32470593,0.36848986,0.39108166,0.38443127,0.35333073,0.31556603,0.29301628,0.29852057,0.32554984,0.35438272,0.3683612,0.36493436,0.3510847,0.33208787,0.30859074,0.28181872,0.2603223,0.2545214,0.26914182,0.29580536,0.32082078,0.33344766,0.3338565,0.32846895,0.32439232,0.32467815,0.32898113,0.33564624,0.3425076,0.34776077,0.3493301,0.34548485,0.33383894,0.31265083,0.28223863,0.24800678,0.21802048,0.19840461,0.18745972,0.1786799,0.16611017,0.14996594,0.13413607,0.122832395,0.11789432,0.1190196,0.124114476,0.12918836,0.13044904,0.12610677,0.11798644,0.10936177,0.1035632,0.10292495,0.10940198,0.12282195,0.13929348,0.15145735,0.153387,0.14463003,0.1303796,0.11696977,0.10840187,0.10605333,0.109517425,0.1168777,0.12401577,0.12679876,0.123358965,0.11561673,0.10722967,0.10201699,0.103216775,0.11352459,0.13281648,0.15617178,0.17456912,0.18050398,0.17270048,0.1582548,0.14921622,0.15891345,0.19308722,0.24503809,0.29405314,0.3214434,0.3239307,0.3188235,0.32549012,0.34909722,0.37736866,0.39635935,0.40387705,0.40929428,0.42153883,0.4387054,0.44784915,0.43485162,0.3955131,0.3411437,0.2929934,0.27168134,0.2842774,0.32035542,0.3567362,0.37509286,0.37476647,0.372282,0.3838509,0.40977776,0.43502322,0.44131574,0.42107737,0.37978485,0.33349743,0.30021837,0.29170895,0.3071076,0.33340228,0.35545492,0.3651804,0.36640826,0.36663374,0.37047598,0.3753822,0.37785408,0.37631345,0.37267613,0.36892018,0.3665242,0.36643922,0.36886778,0.37246934,0.373862,0.3701246,0.36056623,0.3473617,0.33321097,0.3192353,0.3043858,0.2865071,0.26446295,0.23922186,0.2140377,0.19263124,0.17745912,0.1687855,0.1655916,0.16695958,0.17240031,0.18079092,0.18925554,0.19401239,0.19291364,0.18709253,0.18005908,0.17510176,0.1738453,0.17637682,0.18153135,0.18700136,0.1898063,0.18903442,0.1874854,0.1914733,0.20644866,0.23419619,0.27209315,0.3156029,0.35913482,0.39617348,0.42062795,0.43054986,0.42992952,0.4265593,0.42622995,0.4313275,0.4407932,0.45381737,0.468774,0.48380134,0.49576363,0.5023524,0.5030627,0.4994435,0.49385872,0.4876213,0.48056674,0.47184706,0.46181926,0.45278227,0.44755864,0.44724345,0.45002985,0.45281896,0.45393503,0.45418468,0.45579234,0.4597992,0.46571732,0.4721925,0.47875944,0.48553216,0.49235559,0.49789032,0.50025004,0.49822906,0.49223682,0.4840082,0.47571003,0.46903315,0.4649304,0.46363032,0.46433732,0.4652839,0.46436355,0.46087155,0.4560784,0.45219386,0.45041347,0.45022365,0.45068762,0.4515289,0.45338097,0.4567426,0.46175137,0.4685608,0.47737253,0.48710087,0.49262357,0.48536947,0.45793173,0.41225386,0.3612372,0.32276055,0.30786726,0.31574595,0.3373233,0.36481547,0.3955493,0.42766187,0.45368132,0.46293542,0.45331094,0.4377246,0.43468538,0.44839177,0.46022174,0.44361055,0.3870066,0.30658045,0.2331572,0.19536035,0.20525336,0.26008376,0.34290007,0.4276937,0.48575354,0.49923003,0.46908545,0.41364655,0.3571447,0.32187906,0.3199391,0.35120153,0.39843336,0.43908522,0.45540383,0.44630405,0.41912404,0.38382223,0.34884796,0.32454756,0.31896582,0.32921234,0.34039378,0.33644596,0.31492445,0.28741252,0.27046627,0.27478662,0.30744934,0.37054208,0.4594432,0.55301857,0.6250153,0.6586976,0.6626451,0.6575803,0.6585908,0.6632834,0.6627271,0.65079975,0.62545055,0.5809571,0.5128464,0.42613992,0.33924994,0.27357432,0.24640584,0.26952502,0.3458542,0.45987964,0.5722819,0.63902044,0.6368332,0.5805774,0.5078489,0.4564955,0.44169605,0.4560072,0.47663078,0.48407915,0.4709537,0.44488502,0.41739735,0.39736557,0.38932177,0.40004537,0.43758106,0.5027442,0.5787466,0.6341825,0.6426192,0.6007786,0.53295445,0.4708489,0.4364572,0.43214402,0.44888988,0.4722779,0.48798183,0.48532042,0.46000826,0.41648778,0.3653411,0.3237219,0.31250566,0.3485463,0.43146595,0.5362378,0.62489957,0.6687445,0.664732,0.63048047,0.5862468,0.5437848,0.50612634,0.4752027,0.4510367,0.43056002,0.40685007,0.37517443,0.33575782,0.29589173,0.2690613,0.2764115,0.33351853,0.43753663,0.5540414,0.6394608,0.66453123,0.6371384,0.5866368,0.5448403,0.5269713,0.5323329,0.5508195,0.5701788,0.58280677,0.58635426,0.5842228,0.58047676,0.57957083,0.585027,0.6007722,0.627306,0.65957,0.68613505,0.6971833,0.69016856,0.67273694,0.65472406,0.64250594,0.635854,0.6317454,0.62756497,0.6223514,0.6170895,0.6130009,0.61073357,0.60925525,0.60874367,0.6131614,0.6288969,0.65609354,0.68169904,0.6819014,0.63983613,0.55912286,0.46620023,0.39040735,0.34851024,0.33673143,0.3398684,0.34025085,0.32577166,0.29511324,0.25680435,0.22484821,0.20996977,0.21953022,0.26008964,0.33560434,0.43840647,0.5415624,0.6105476,0.62414426,0.58867747,0.53085405,0.47613522,0.43909526,0.42117953,0.42037717,0.4290218,0.43825054,0.44132808,0.43982688,0.44023117,0.44636533,0.45968366,0.48396578,0.5259279,0.58442235,0.64031625,0.6652904,0.64078075,0.57478845,0.49492824,0.43126068,0.40113506,0.4050738,0.43240955,0.46607587,0.4928451,0.50694364,0.5114184,0.51087254,0.50858635,0.5084843,0.51722085,0.5400076,0.5723416,0.5984121,0.60202485,0.577897,0.53687626,0.49446502,0.4631442,0.447394,0.44891635,0.46619865,0.49316263,0.5196797,0.5369353,0.54290193,0.54207414,0.5418692,0.55052584,0.57256824,0.60559887,0.6343953,0.6393189,0.6071644,0.5439605,0.46948972,0.40550676,0.36280262,0.33921358,0.32424915,0.30639255,0.27947062,0.24561052,0.21229613,0.18697096,0.17427796,0.18102999,0.21923053,0.29754686,0.4064699,0.51161855,0.5739997,0.57410043,0.52705747,0.46520713,0.4183202,0.39772832,0.40084305,0.41651025,0.43182695,0.43645403,0.42692566,0.4079093,0.387661,0.37608644,0.38369846,0.42097282,0.48815164,0.5669287,0.6239349,0.63265175,0.59212756,0.5274491,0.46783242,0.42815498,0.40407047,0.38328704,0.35577583,0.3204104,0.28601578,0.26643288,0.27146927,0.2988404,0.3390617,0.3860189,0.4416894,0.507186,0.57110786,0.61209583,0.61327285,0.5762965,0.51990193,0.4665846,0.430246,0.41178837,0.4039199,0.3968515,0.38368058,0.36252543,0.33617046,0.30965373,0.2899872,0.28686857,0.31411564,0.37892962,0.47232452,0.5617711,0.61100835,0.60105604,0.5462777,0.4798771,0.43236503,0.41533995,0.42256057,0.4399689,0.45390186,0.4576558,0.454398,0.45469284,0.46935317,0.49962816,0.5389088,0.57793283,0.6110732,0.6325074,0.6327178,0.60409236,0.54941803,0.48637632,0.4347349,0.40618443,0.39967272,0.4105325,0.43509638,0.46967652,0.5065715,0.5351227,0.5478077,0.5433975,0.52698416,0.50934273,0.5041042,0.5208566,0.5531566,0.5795166,0.5781991,0.54568774,0.4986407,0.4581375,0.4369876,0.43467045,0.4441315,0.4530418,0.45030808,0.42935625,0.3952838,0.3585762,0.33158842,0.32171002,0.3387414,0.38732204,0.46239635,0.5365751,0.57796496,0.567725,0.5176607,0.45550886,0.40720034,0.38283285,0.3807386,0.39343143,0.41146407,0.42385325,0.4227028,0.40572128,0.37839496,0.34958258,0.3336393,0.34750405,0.40285635,0.48985532,0.57333964,0.6137653,0.5940135,0.53204983,0.46143982,0.4106014,0.38923374,0.39454356,0.41454744,0.43510267,0.44400808,0.44239977,0.441996,0.4580638,0.49241447,0.5373769,0.5809118,0.61804914,0.6435794,0.650073,0.6289034,0.58077294,0.5187217,0.46155158,0.4245033,0.41427842,0.4303044,0.46689233,0.514542,0.56254095,0.6000965,0.617365,0.60702115,0.5712723,0.5288932,0.50786656,0.52636933,0.57368106,0.6181133,0.629755,0.6033929,0.55590415,0.5106514,0.48112598,0.46779844,0.46258995,0.45555282,0.43970278,0.41502693,0.38819346,0.36832228,0.36145663,0.3705432,0.39996836,0.45213103,0.5201082,0.5790611,0.6017061,0.5746941,0.5137103,0.44689247,0.39899144,0.3754529,0.37132454,0.37748697,0.38943693,0.401863,0.4100012,0.4076561,0.394593,0.37634015,0.3677434,0.38592175,0.4403979,0.5187214,0.5870552,0.6108151,0.5789897,0.51187974,0.44226265,0.39488062,0.37675,0.38188887,0.3970621,0.4068054,0.40233788,0.38660023,0.37078395,0.36008677,0.35178897,0.34658754,0.3589792,0.40496454,0.4785916,0.54811436,0.5783374,0.5591159,0.5090316,0.45801458,0.4257381,0.41495577,0.41702148,0.4217801,0.42317852,0.42057896,0.41607216,0.41014156,0.40198115,0.39310953,0.39633062,0.42620847,0.48767325,0.55886227,0.6085158,0.61468977,0.5847382,0.54152286,0.5058835,0.48339668,0.46847454,0.45441735,0.4375625,0.41877103,0.39981925,0.3839432,0.3733627,0.37151185,0.38279524,0.414333,0.4673132,0.5306022,0.5783101,0.5879585,0.5559933,0.5027383,0.45363215,0.42276013,0.40918013,0.4060941,0.40858552,0.41166684,0.41055885,0.40248537,0.39104107,0.38362178,0.3870394,0.40761694,0.44916186,0.50953704,0.572201,0.6120601,0.61075884,0.5714104,0.5164558,0.47001076,0.44395137,0.43401024,0.42798102,0.41428736,0.38839337,0.35607055,0.3291165,0.31826857,0.32578787,0.348695,0.38603458,0.43950573,0.50543934,0.5656431,0.5959613,0.5824639,0.5347444,0.47757995,0.43357953,0.40965572,0.39894482,0.38912204,0.37032798,0.3367505,0.289482,0.2350622,0.1848142,0.15057929,0.14558257,0.1842397,0.27184013,0.39297032,0.50539565,0.5665037,0.55767757,0.50051343,0.43358043,0.39021197,0.382031,0.40305898,0.43627313,0.46025348,0.4613831,0.44046438,0.41281787,0.3928753,0.38671324,0.39504847,0.42134008,0.46902394,0.5297897,0.5815088,0.60133386,0.5819683,0.53570026,0.48257458,0.43990037,0.4157072,0.41093016,0.4197205,0.4335687,0.4446706,0.4498441,0.44794428,0.43879214,0.4240392,0.41467774,0.4264125,0.46901488,0.53004605,0.58199674,0.5992236,0.5771906,0.5296888,0.47546014,0.4263331,0.38403305,0.3447945,0.3033195,0.2585234,0.2151953,0.18060462,0.15871798,0.14914276,0.15522729,0.18947744,0.26373816,0.37096715,0.47594523,0.5368216,0.53349364,0.48304775,0.421169,0.37612864,0.35446587,0.3455921,0.33456603,0.30942234,0.2675402,0.21473031,0.16280012,0.12103993,0.09371812,0.081760846,0.087111324,0.10962763,0.14218655,0.16941881,0.1775763,0.16290843,0.13381995,0.10289845,0.08140475,0.07722777,0.09369915,0.1264071,0.16251783,0.19004941,0.20746793,0.22466229,0.25069955,0.28506273,0.31940255,0.34666887,0.3631358,0.36421308,0.34313932,0.2984916,0.24262975,0.1979235,0.18317239,0.19938697,0.23086347,0.2554253,0.25850922,0.23829325,0.2057655,0.17930774,0.1753821,0.19947861,0.24297301,0.29456532,0.35062352,0.414562,0.4815482,0.5316799,0.54274756,0.5095876,0.4499155,0.3890542,0.3438944,0.31635883,0.29918227,0.28183576,0.25547865,0.21613546,0.1675163,0.11916667,0.08259296,0.068495534,0.08871833,0.15243621,0.2561382,0.3731008,0.463104,0.49645224,0.4743292,0.42373183,0.37509224,0.3438685,0.32768488,0.3155743,0.29636046,0.2651529,0.22505046,0.18613826,0.15829702,0.14745545,0.15598391,0.19092,0.25766364,0.3512393,0.4426186,0.49716783,0.4939717,0.44612646,0.38458622,0.33947968,0.32145396,0.3255595,0.33883688,0.3504115,0.3546747,0.35253358,0.34724677,0.34036705,0.33046362,0.31924072,0.3181632,0.34293637,0.3981533,0.46396923,0.5084165,0.51110035,0.48121718,0.44523108,0.425614,0.42482165,0.4314822,0.43072593,0.4149933,0.38379195,0.34188333,0.2937967,0.24394275,0.20097142,0.18145823,0.20681374,0.28422478,0.39527997,0.494534,0.54141545,0.5217698,0.45996976,0.391443,0.34238377,0.31462634,0.29812697,0.2804124,0.25527105,0.22062248,0.17879526,0.13501194,0.09767756,0.0769633,0.08533501,0.13405198,0.22353603,0.33340266,0.4263904,0.47038844,0.45985553,0.41750553,0.37407884,0.34707868,0.33432087,0.32225218,0.29850626,0.25935674,0.21107209,0.16509323,0.13115549,0.11338482,0.113389395,0.13752307,0.19590755,0.28955945,0.39644322,0.4764894,0.49816906,0.46078762,0.39393196,0.3315249,0.29231694,0.27472553,0.26837504,0.26149717,0.24552362,0.21602698,0.17522472,0.1310642,0.0951224,0.0801325,0.10124735,0.16854228,0.2764645,0.39328352,0.47625494,0.49702895,0.46233025,0.40468982,0.35760936,0.33785775,0.34363183,0.3653921,0.39012703,0.4056373,0.40143725,0.37484145,0.33292878,0.29180768,0.27165064,0.29001424,0.35229167,0.4445711,0.5346783,0.5887935,0.5898293,0.5478694,0.4894003,0.4402256,0.41085944,0.39716196,0.3865148,0.36704588,0.33259174,0.28883362,0.2513794,0.23740403,0.25307325,0.29245362,0.34717265,0.41237104,0.48154297,0.5381165,0.56257063,0.54859143,0.5095263,0.46732488,0.43506137,0.41395268,0.39742437,0.37762046,0.34700587,0.30379477,0.25677583,0.21877362,0.19735456,0.18972123,0.19703297,0.22960706,0.2988406,0.39515814,0.48447618,0.52992195,0.5188342,0.47241223,0.42448774,0.39791748,0.39164293,0.39149523,0.3834919,0.36352515,0.3361005,0.3117551,0.3005931,0.3081584,0.33173382,0.36574665,0.40696147,0.45515475,0.5056464,0.5437152,0.5534405,0.52951854,0.48573557,0.4419044,0.41224012,0.3965747,0.38889468,0.3830025,0.376742,0.36979952,0.36316872,0.3580726,0.35559595,0.357276,0.36865088,0.39732042,0.44577166,0.50058407,0.5364084,0.5322779,0.48920956,0.42948148,0.3785472,0.34859946,0.33608702,0.33191,0.3287479,0.32147637,0.30669394,0.2851641,0.26531842,0.25928774,0.27670634,0.3202103,0.38588944,0.46301767,0.53252435,0.572017,0.5673344,0.52396536,0.4635879,0.40935957,0.3720092,0.3480258,0.32720366,0.30025998,0.2624581,0.21541028,0.1661867,0.124444336,0.09810322,0.09447669,0.124443024,0.1962036,0.302236,0.4081041,0.47199097,0.47211096,0.4248183,0.36676416,0.32723555,0.3124931,0.3104069,0.30517828,0.28499374,0.24709247,0.19656496,0.14492437,0.10389668,0.08273953,0.08875242,0.13167356,0.21561988,0.32952818,0.4373261,0.49923873,0.4934113,0.4360415,0.36244735,0.3059813,0.2776041,0.2709659,0.2708443,0.26384658,0.2436486,0.21495543,0.18988323,0.1798048,0.18861586,0.21682505,0.26899886,0.34850907,0.4459959,0.52977824,0.567388,0.5455553,0.48662066,0.42631173,0.39367524,0.39017344,0.3979069,0.39261007,0.3628354,0.3147587,0.26768753,0.24069567,0.24212761,0.2681137,0.310091,0.36414567,0.4281839,0.49362564,0.5398505,0.5475402,0.5122786,0.44959417,0.3825471,0.33076656,0.3052753,0.30745533,0.3292708,0.3544799,0.36995843,0.3713888,0.366536,0.36383024,0.37065366,0.39029768,0.42753193,0.47994876,0.5349298,0.5691747,0.5672899,0.53214866,0.48501182,0.44696108,0.42742482,0.4218265,0.42025813,0.41409573,0.39963964,0.37854442,0.35569373,0.33590952,0.32204115,0.31732115,0.3288658,0.36477205,0.42524135,0.49391627,0.5448471,0.5577664,0.5330441,0.4861579,0.43602595,0.39349994,0.36437377,0.3502874,0.34845233,0.34826767,0.33832774,0.31586084,0.2898806,0.27403024,0.27690068,0.3041202,0.35637274,0.4280254,0.49570265,0.5314904,0.5201041,0.47660553,0.4319929,0.40967807,0.40930417,0.4137412,0.40582073,0.37844253,0.33474922,0.2839491,0.23909022,0.21282206,0.21347298,0.24139954,0.2950629,0.36917844,0.4533353,0.52238417,0.5517759,0.5311044,0.47948155,0.42634892,0.39512953,0.387097,0.39288723,0.39962256,0.40060902,0.39129207,0.37069234,0.3384159,0.29712275,0.25347325,0.22246067,0.2249223,0.27288306,0.35335138,0.4262594,0.45225117,0.42016348,0.3556871,0.2953246,0.26220337,0.25632635,0.26589927,0.27623233,0.27463827,0.2520503,0.20798524,0.15169312,0.09928236,0.06788326,0.07400134,0.1292562,0.23065065,0.3518772,0.44988808,0.49169,0.47457048,0.42633018,0.37926397,0.3509425,0.33858812,0.3293942,0.31045595,0.27384925,0.22084387,0.16003457,0.105412684,0.06986379,0.06522644,0.10179502,0.18404932,0.29970786,0.4142835,0.48511314,0.4881792,0.43556905,0.3644309,0.30884266,0.28027228,0.27106726,0.26903725,0.26735827,0.26384464,0.25875092,0.25265884,0.24596827,0.2362262,0.2188472,0.19021098,0.15199785,0.1110649,0.07566787,0.05060466,0.03558917,0.026923338,0.02077877,0.015178225,0.009997659,0.005822019,0.0029785817,0.0013419273,0.00053373823,0.00019316415,0.00045097488,0.0025669492,0.01202678,0.039795246,0.10130671,0.20239507,0.32870626,0.44248495,0.50695366,0.50786,0.4636209,0.40534732,0.3571615,0.3249617,0.3039126,0.2868309,0.2708858,0.2558881,0.24270238,0.2303017,0.2172546,0.20197137,0.18344666,0.16030918,0.13168235,0.09874437,0.06559538,0.037567887,0.018277524,0.007958337,0.0043984144,0.005030231,0.008156232,0.012709971,0.018704548,0.028337324,0.047275726,0.080103986,0.12521707,0.17243348,0.21358536,0.25291863,0.30728805,0.38712433,0.47888228,0.5468366,0.5594817,0.5139702,0.4393851,0.37355736,0.3407503,0.34081495,0.35885182,0.37524983,0.3777208,0.3627528,0.33571184,0.3039359,0.27359575,0.25217015,0.2513686,0.28646362,0.35954213,0.4519992,0.52557343,0.55048627,0.52047807,0.4577274,0.39053023,0.3410885,0.317382,0.31853917,0.33602285,0.35656595,0.3676765,0.36263812,0.3431667,0.3165386,0.29473233,0.2946695,0.33038557,0.40153393,0.48298422,0.53892106,0.5452598,0.5077874,0.45296595,0.4076133,0.38346064,0.37776077,0.38203916,0.3883514,0.39209446,0.39132312,0.38660386,0.37929836,0.37257373,0.37257203,0.38974428,0.43161306,0.4934357,0.5519898,0.57810485,0.5557112,0.49547812,0.4245793,0.3669999,0.32918882,0.30446172,0.28489602,0.26988804,0.26430407,0.27230188,0.29173788,0.3138548,0.32768673,0.32763925,0.31944895,0.31699172,0.33227628,0.36308622,0.39418316,0.40605322,0.38913155,0.3470191,0.2948263,0.2507264,0.22997595,0.23720622,0.26456627,0.29352617,0.30824026,0.30531803,0.29690823,0.29641303,0.30621418,0.3158746,0.31410444,0.2998842,0.28139517,0.26833895,0.2628509,0.2595154,0.25083268,0.2367428,0.22820675,0.23978819,0.2764076,0.3268254,0.37174046,0.39793527,0.4046828,0.39956832,0.39002573,0.38028583,0.37177137,0.365293,0.36092147,0.35822067,0.3559966,0.35282758,0.34729078,0.3391194,0.3304702,0.32569352,0.32848907,0.33754098,0.34567973,0.34312868,0.324327,0.29067397,0.24965091,0.20987213,0.17900224,0.16211464,0.16103417,0.1719175,0.18610764,0.19393289,0.18996596,0.17461513,0.15308516,0.13334234,0.12478632,0.13316436,0.15532005,0.1769801,0.18328138,0.17131652,0.1562079,0.15958606,0.1941161,0.2559722,0.33085334,0.4046285,0.46771875,0.51585054,0.54717046,0.563271,0.5674572,0.5650793,0.56066877,0.55713683,0.55441695,0.5509154,0.54544616,0.53839,0.5314791,0.52612495,0.5230975,0.5218838,0.5214951,0.5203209,0.5175023,0.51347685,0.51034665,0.5103541,0.5142341,0.521168,0.5295602,0.5385286,0.5469704,0.55364347,0.55680364,0.55600303,0.55226016,0.54755574,0.54318,0.5391064,0.5350217,0.5312938,0.52885514,0.52810675,0.5283201,0.5284948,0.5278607,0.52660507,0.5257576,0.52668834,0.52998567,0.5344359,0.53822416,0.53990966,0.53946596,0.53703374,0.5327435,0.52663136,0.51956713,0.5132125,0.5090478,0.5073118,0.50655794,0.5049265,0.50023973,0.48872483,0.4640646,0.4220213,0.36868373,0.3229461,0.30566332,0.32374522,0.36405388,0.40566158,0.43510637,0.4520323,0.45980266,0.45763794,0.4422051,0.4163773,0.39149654,0.37808272,0.37412462,0.36428913,0.3327599,0.2775478,0.21458225,0.1681615,0.15998608,0.19857824,0.2762395,0.36779287,0.4410863,0.4722642,0.45817974,0.4148735,0.3638394,0.3232227,0.30359912,0.31019115,0.3388982,0.37760964,0.41198704,0.4333292,0.439919,0.43168977,0.41082242,0.3841745,0.3638051,0.35751355,0.36058804,0.35952345,0.3439736,0.3168142,0.29097053,0.28132942,0.29972473,0.35190058,0.43384242,0.5253129,0.59695655,0.62704307,0.6172583,0.58854836,0.56306046,0.54987884,0.5464122,0.5450742,0.5386455,0.51697594,0.47398892,0.41072103,0.3405117,0.2784945,0.23928046,0.23654044,0.28233692,0.37372994,0.47967902,0.55311733,0.56152207,0.511237,0.43886614,0.38247862,0.36157092,0.37330243,0.4032066,0.43067095,0.44005302,0.42553285,0.39591733,0.3657359,0.34870267,0.3535432,0.3870666,0.44952533,0.5279676,0.59338164,0.6176614,0.5925464,0.5372688,0.481451,0.44544733,0.432434,0.43531933,0.44558898,0.45512807,0.45693433,0.44495878,0.4175403,0.37799117,0.33743146,0.31341562,0.324849,0.37886754,0.46277547,0.5477021,0.6072679,0.63185006,0.629403,0.61153835,0.58442706,0.5501004,0.5135022,0.48314312,0.46430883,0.45502424,0.44849265,0.4397355,0.4288466,0.42075276,0.42464003,0.44994816,0.49857235,0.5568525,0.6002205,0.6102572,0.5888975,0.55517477,0.5282834,0.51556957,0.51438427,0.52003294,0.5286154,0.5351496,0.5335393,0.521851,0.5043555,0.4899199,0.48589966,0.49757037,0.52577454,0.5661482,0.60584134,0.6302457,0.63185257,0.6162514,0.59590197,0.57967883,0.5689613,0.56080455,0.5541335,0.5501562,0.5498608,0.5515209,0.5509926,0.5459709,0.5386049,0.5366862,0.54848605,0.57624453,0.61000735,0.6291222,0.61292094,0.5552941,0.4706575,0.3859638,0.32383814,0.2929629,0.2870758,0.29268375,0.29488984,0.284386,0.2608496,0.23275405,0.21240903,0.21062358,0.23591906,0.29230282,0.3745652,0.46251702,0.5267171,0.5464753,0.52354103,0.48063013,0.44145617,0.41901627,0.4137384,0.42255428,0.44090736,0.46217337,0.4796631,0.48956105,0.4923786,0.48871648,0.4803233,0.47453082,0.48366845,0.51481223,0.55617326,0.5816767,0.57015973,0.52398103,0.46637896,0.42166063,0.4007971,0.40030488,0.41166234,0.42606238,0.435722,0.43609598,0.42769703,0.41689238,0.4113064,0.41805378,0.4419433,0.48351684,0.53489655,0.5788574,0.5970523,0.5817264,0.5414624,0.49467745,0.4571221,0.43580303,0.42940557,0.43313494,0.44041574,0.4453367,0.44543698,0.44240507,0.4400144,0.44104186,0.44963208,0.47356185,0.5188562,0.5790802,0.62971425,0.64424396,0.61266065,0.55185556,0.48850822,0.4425689,0.41691437,0.40412286,0.39281085,0.37241638,0.33713436,0.28813955,0.2341642,0.18721938,0.16079439,0.16999249,0.22566299,0.32427832,0.43751,0.5242154,0.5535055,0.5260433,0.46935976,0.4161289,0.38516375,0.37720028,0.38328794,0.39253995,0.39662588,0.39251664,0.3822199,0.3710074,0.3640938,0.3672309,0.3904871,0.44272026,0.52250355,0.60540897,0.6568113,0.6517611,0.59614974,0.51785964,0.4463065,0.3944894,0.35870674,0.3293611,0.29947653,0.27087978,0.2522606,0.2527875,0.2727215,0.30283237,0.33502305,0.37310228,0.42793572,0.5019141,0.57620114,0.6230237,0.62412906,0.5864895,0.5317607,0.4819946,0.44680056,0.4254485,0.41136944,0.39727142,0.37849784,0.355112,0.33110932,0.31143138,0.30235338,0.3142959,0.3599403,0.44109526,0.5369442,0.60770017,0.62178355,0.578099,0.5088523,0.45196435,0.4283155,0.43297258,0.44990575,0.46349767,0.4665049,0.4574586,0.44340953,0.43366015,0.43837956,0.45757183,0.48893952,0.52700716,0.5697046,0.60729885,0.62591034,0.61353225,0.573011,0.521291,0.4782174,0.4565531,0.4576806,0.47581017,0.5004122,0.5209489,0.53077483,0.5296502,0.5208362,0.50714344,0.4923849,0.4871776,0.50522417,0.5509255,0.6053687,0.63775855,0.6256678,0.57499284,0.5098166,0.4560823,0.4251678,0.41520748,0.41540024,0.41332662,0.40064916,0.3787955,0.3575753,0.34801057,0.35460505,0.3769071,0.4154682,0.47115973,0.53670913,0.58917,0.6034593,0.5701484,0.5077767,0.44605324,0.40799555,0.39752233,0.40723622,0.42500722,0.43979302,0.443956,0.43598476,0.41978797,0.3993292,0.37968123,0.3708891,0.39047113,0.44789147,0.5296015,0.5979709,0.6186857,0.5841283,0.51891696,0.45574677,0.41761068,0.40822098,0.42110467,0.44255957,0.4596078,0.46362713,0.45880178,0.4562149,0.4670687,0.4916602,0.5263987,0.5654709,0.60488194,0.6327742,0.6347019,0.6011948,0.5405145,0.47340846,0.42158833,0.39650166,0.39928445,0.42526433,0.46679887,0.51443595,0.55847764,0.59061337,0.6040938,0.5950105,0.56831527,0.542533,0.5406218,0.57189506,0.61774635,0.64694977,0.6383143,0.5995427,0.5526236,0.517065,0.4952648,0.4801753,0.4617858,0.43496886,0.39895746,0.36000606,0.32724318,0.3109813,0.31536996,0.34271035,0.39240226,0.46210828,0.5373482,0.59273887,0.6046336,0.56953,0.50867665,0.4507207,0.41451207,0.4018952,0.40591994,0.41718528,0.42622805,0.42502722,0.40996006,0.38292113,0.35028562,0.3219546,0.3157089,0.3499461,0.43011507,0.53096247,0.6075098,0.6228225,0.5751874,0.49521756,0.4208517,0.37681377,0.3675898,0.38399848,0.40790904,0.42125323,0.41660592,0.39979807,0.3817468,0.36574087,0.35208014,0.3495926,0.37591228,0.43920898,0.5197806,0.5808747,0.59417605,0.56218004,0.5101896,0.46588326,0.44149664,0.43300632,0.4297447,0.42383337,0.41446462,0.40563414,0.40046513,0.39800367,0.39586174,0.39790294,0.41719857,0.46460676,0.53514475,0.60055465,0.63028884,0.61077154,0.55911154,0.5038051,0.4676766,0.4542619,0.4554746,0.45913827,0.45671102,0.4452114,0.42803308,0.41136405,0.40112755,0.40071774,0.41556576,0.45079944,0.5066681,0.5684289,0.6123648,0.6198249,0.5915664,0.5452325,0.49992403,0.4657217,0.4418709,0.42421448,0.40872443,0.39317694,0.3795619,0.3718294,0.37506166,0.3882489,0.4104763,0.44340292,0.49345255,0.5589908,0.6225923,0.65778786,0.6482651,0.60170287,0.542467,0.49314782,0.46156827,0.44182304,0.42404187,0.40016964,0.36730954,0.3282524,0.29127702,0.26638824,0.26063797,0.2787063,0.3257234,0.40361586,0.5017248,0.5902379,0.6363211,0.6244269,0.5701179,0.5038449,0.4509529,0.41748202,0.39540705,0.3723601,0.33961773,0.29616174,0.24770969,0.20302127,0.16903774,0.15220559,0.16423993,0.22098649,0.32730833,0.45997715,0.56990546,0.6132646,0.5803372,0.5020298,0.42130998,0.3688204,0.35053563,0.35722506,0.37226856,0.38062513,0.37570095,0.36187574,0.3500296,0.34730804,0.356658,0.38068414,0.42418715,0.48577213,0.5509843,0.5968544,0.6066024,0.5802652,0.5336648,0.4872129,0.45611703,0.44445872,0.4469241,0.45384237,0.4579556,0.45821872,0.45696306,0.4541993,0.44639632,0.43344033,0.4287685,0.45192957,0.5124689,0.5901988,0.6492167,0.65941685,0.6211593,0.55491966,0.48639795,0.42938194,0.38645795,0.35179472,0.3167031,0.27579755,0.23106003,0.19071303,0.16193847,0.14862828,0.15641104,0.19690293,0.27884904,0.39166442,0.49997795,0.56390804,0.5658126,0.5225317,0.46752656,0.42857447,0.41457185,0.41903165,0.42717388,0.4236531,0.40210405,0.36954197,0.34124234,0.32840082,0.33329397,0.35642424,0.4008316,0.46595487,0.5357787,0.5832072,0.58865446,0.556162,0.5093044,0.47161928,0.45133546,0.44081113,0.42823634,0.40757453,0.3813779,0.35517642,0.33308724,0.31356367,0.29323947,0.2688187,0.24473844,0.2295806,0.231192,0.24462609,0.2554302,0.25078052,0.23301035,0.21555813,0.20960306,0.21423154,0.22291052,0.2309758,0.23790546,0.23983316,0.23287152,0.21980639,0.2143951,0.22884421,0.26102814,0.2946067,0.31360856,0.31456485,0.30555478,0.2969147,0.29397786,0.29596493,0.29868257,0.29855207,0.29538047,0.29200032,0.29011333,0.28747103,0.28017104,0.26868734,0.2587586,0.25604117,0.25927106,0.26299024,0.2651973,0.27053928,0.28340948,0.29792914,0.30019686,0.27833423,0.23473974,0.18391164,0.14307314,0.12099052,0.1155576,0.11838898,0.121516235,0.12370477,0.13102381,0.15240096,0.19008641,0.23828559,0.29127428,0.35139963,0.4220365,0.49251947,0.5389776,0.5437779,0.5136539,0.47265944,0.44111755,0.42312574,0.41189027,0.39954337,0.37998116,0.34849253,0.3058953,0.26328093,0.23806806,0.24278313,0.27785715,0.3364943,0.40871504,0.48151168,0.53431106,0.5492869,0.5230211,0.47350255,0.42600444,0.39816526,0.39104012,0.395117,0.3986813,0.39516863,0.38443473,0.3708066,0.35773697,0.3461009,0.33695564,0.33810592,0.3625011,0.41560963,0.48320237,0.53241706,0.5351366,0.48597884,0.40846953,0.33395013,0.28523698,0.26547113,0.26464358,0.26684272,0.25776765,0.2305711,0.18760121,0.1394233,0.09938148,0.08173719,0.10170684,0.16871242,0.27517194,0.38837376,0.46621218,0.48267865,0.44494542,0.38351664,0.3288383,0.2956088,0.28196713,0.2779384,0.27362773,0.26423332,0.25364223,0.24871778,0.25268927,0.26065633,0.2700237,0.29106724,0.3402718,0.42117414,0.5076785,0.5625463,0.56227,0.517336,0.45642245,0.4066833,0.37814495,0.36679187,0.36147213,0.35113457,0.33102724,0.30644596,0.2879838,0.28169754,0.28291574,0.28658155,0.29881436,0.33495077,0.40016758,0.47504482,0.5279103,0.5372839,0.50841177,0.46194008,0.419871,0.39347318,0.38467765,0.38802806,0.39442977,0.3963045,0.3917326,0.38493845,0.38189915,0.3882774,0.4102207,0.4536146,0.51536626,0.5778697,0.6132871,0.6057914,0.5611904,0.5043551,0.45524922,0.42209056,0.40175828,0.39112544,0.386143,0.38039216,0.36733449,0.34605122,0.3231982,0.3069985,0.30354527,0.31932092,0.36050653,0.42720094,0.50140685,0.5554237,0.5679198,0.54243916,0.49998876,0.4626082,0.4385365,0.42340824,0.40753874,0.3823726,0.34430182,0.29851902,0.2591585,0.2421146,0.2553228,0.29536486,0.35552952,0.4278566,0.50199425,0.55745703,0.57631475,0.55373335,0.50601536,0.45501137,0.41565895,0.39073208,0.37693787,0.3706825,0.36761582,0.36365545,0.35463408,0.33879244,0.31739244,0.29743657,0.29433978,0.3247584,0.39337406,0.480265,0.5500409,0.5742927,0.5501501,0.49828994,0.4446672,0.40681776,0.38848364,0.38471374,0.38561538,0.3824347,0.37053004,0.35214314,0.33216074,0.3164233,0.30937827,0.31960455,0.35472655,0.4143006,0.4783509,0.51753736,0.5123885,0.46992114,0.4163499,0.37585947,0.35588732,0.3465977,0.33334827,0.30533412,0.2620419,0.21057868,0.16219732,0.12514044,0.10548679,0.110053696,0.15143622,0.23631103,0.35346508,0.46547627,0.53294617,0.53791624,0.4988681,0.4489452,0.41452274,0.40143207,0.40302864,0.40766522,0.40482903,0.38751388,0.35597405,0.31744945,0.2817233,0.2581204,0.2554495,0.28460035,0.3487675,0.435865,0.51409036,0.55408174,0.54595995,0.50881225,0.47063255,0.4508822,0.4506426,0.45953473,0.4639205,0.4515414,0.41636828,0.3623024,0.30355775,0.2566732,0.23251088,0.23732924,0.27582678,0.3489702,0.4432231,0.53040415,0.5819605,0.5857615,0.5502407,0.49371722,0.43581605,0.39181158,0.36976063,0.36680886,0.3698696,0.3664501,0.35297942,0.33886242,0.3361578,0.35295665,0.38893378,0.43963423,0.49516168,0.54009026,0.5570051,0.5403836,0.50346196,0.47062802,0.45701745,0.45783594,0.45414388,0.42885754,0.37757468,0.30863366,0.23633905,0.1734085,0.12773256,0.105350144,0.114491664,0.16555703,0.25894633,0.37557033,0.4774444,0.5325463,0.533518,0.50204235,0.46450523,0.43638214,0.41867688,0.4107884,0.41258585,0.41959164,0.41935956,0.40056348,0.36440036,0.3255092,0.30167785,0.30440056,0.33847973,0.4003676,0.4760996,0.5382276,0.5628751,0.5439532,0.5011522,0.46105075,0.4411527,0.4410158,0.44947144,0.4531484,0.442173,0.41497388,0.37903967,0.3493328,0.33922854,0.35452983,0.39228538,0.44510484,0.5018855,0.54691005,0.56316257,0.5453183,0.50619197,0.47070006,0.45377672,0.45069364,0.44117475,0.40916446,0.35366789,0.28946638,0.23717333,0.21256089,0.21965891,0.2512149,0.29692343,0.35251567,0.41842854,0.48895144,0.54373,0.55834633,0.524431,0.45969737,0.39516136,0.35279703,0.33473065,0.32782933,0.31683826,0.29236254,0.25385955,0.20693225,0.16023684,0.122740865,0.10455016,0.1175442,0.17314847,0.26966605,0.38515273,0.47887406,0.519485,0.5018776,0.45341173,0.40577924,0.37858608,0.37045082,0.37211856,0.37419316,0.37116447,0.36173508,0.34728506,0.33137593,0.316781,0.3084102,0.3165021,0.35373798,0.42234907,0.5025839,0.56014246,0.56947714,0.5326676,0.47445336,0.42150474,0.3862094,0.36824748,0.36172274,0.36149457,0.3617541,0.35926533,0.35264507,0.3430346,0.33046338,0.31885257,0.31973022,0.34955338,0.41343895,0.49395284,0.5584881,0.58289534,0.56744957,0.53168124,0.49653354,0.47222373,0.4593983,0.45441654,0.4532826,0.4507049,0.44231036,0.42605984,0.4051434,0.38736138,0.38398966,0.40579364,0.4537085,0.51327354,0.5565718,0.5620723,0.52769023,0.47249997,0.41773143,0.37491417,0.34424374,0.32184365,0.30274928,0.27974725,0.24688391,0.20392443,0.15843427,0.12110249,0.10328713,0.118062705,0.17814963,0.28283405,0.40728888,0.5077936,0.55200744,0.5387946,0.49864033,0.46365008,0.45056716,0.45437777,0.4634434,0.46630177,0.45951697,0.44458255,0.42791525,0.41370347,0.403873,0.39658156,0.39176857,0.3899835,0.39057004,0.38725004,0.37141547,0.3412056,0.3068439,0.28475866,0.28305754,0.2955462,0.3100209,0.3197285,0.32635692,0.33149698,0.3354173,0.33796552,0.34297714,0.35133585,0.35984865,0.36345825,0.36216974,0.35979316,0.35768235,0.35183576,0.3357031,0.30696115,0.27005908,0.23500325,0.21271963,0.2099408,0.22661583,0.25567028,0.28752804,0.314038,0.33246052,0.34403333,0.35244346,0.36024573,0.36863282,0.37606823,0.37997267,0.37760437,0.36905122,0.3570327,0.34589067,0.3391224,0.33843687,0.34306398,0.34837306,0.34627566,0.32890192,0.29634508,0.26000062,0.23765254,0.24106972,0.26826677,0.30637744,0.34293854,0.3730885,0.39890218,0.4224482,0.443042,0.45733833,0.4624871,0.45644045,0.43917915,0.41425768,0.38779536,0.36449066,0.34241548,0.3174027,0.29052806,0.27147365,0.26979184,0.28424576,0.3028736,0.31155178,0.30445173,0.28424594,0.25873014,0.23456304,0.21564925,0.20289727,0.1964093,0.196766,0.20417869,0.21703005,0.23089117,0.24105476,0.24483758,0.2430449,0.23848504,0.23438644,0.2333337,0.2370338,0.24532866,0.25557104,0.26293352,0.26378724,0.2579041,0.24903123,0.24198438,0.24087332,0.24831851,0.2644384,0.2855792,0.30379248,0.3116536,0.30673432,0.2939921,0.28116843,0.27428785,0.27475858,0.28051507,0.28771266,0.2926195,0.2933029,0.29032254,0.2860174,0.28269604,0.28197157,0.28496838,0.29260263,0.3039459,0.31571785,0.32317692,0.32433775,0.32098505,0.31763375,0.3172727,0.32062116,0.3268161,0.3352116,0.3453009,0.3568243,0.37019184,0.38688064,0.40803733,0.43312132,0.45969388,0.48551753,0.51005226,0.53405756,0.55714756,0.5754723,0.5819924,0.5700591,0.53889513,0.49661914,0.45721674,0.43349048,0.43132126,0.45013368,0.48565507,0.53178334,0.579756,0.6202151,0.64695567,0.6601439,0.6640889,0.6630638,0.6584472,0.6497255,0.63696605,0.6223969,0.60962945,0.60161114,0.5989113,0.5999574,0.6021163,0.6028347,0.5998011,0.5916517,0.57902914,0.565399,0.5557697,0.55385065,0.5600116,0.57140714,0.58398515,0.59415895,0.6000693,0.6022489,0.6030144,0.6046211,0.60692173,0.60781413,0.6052782,0.59964085,0.5930865,0.5875322,0.5830169,0.5781873,0.5721813,0.56583995,0.5605468,0.55682915,0.5532597,0.5483667,0.54185754,0.53538585,0.53060037,0.5282162,0.5278201,0.5293885,0.53266764,0.5368786,0.5398453,0.54023415,0.5386724,0.53724533,0.5374229,0.5378578,0.5370899,0.5345555,0.53291965,0.5339293,0.53782576,0.5419015,0.5439768,0.54309535,0.5403693,0.53739876,0.53566486,0.5355491,0.5364709,0.53704935,0.5362334,0.533748,0.53044987,0.52776617,0.5271321,0.5292719,0.53357726,0.53807443,0.5404031,0.53883123,0.5336655,0.5261317,0.51882124,0.5133405,0.5111077,0.5113404,0.5130461,0.51506764,0.51800543,0.5233269,0.53152466,0.5387552,0.5353548,0.51118195,0.46472988,0.40920088,0.36425975,0.3429245,0.34324932,0.3560423,0.37452376,0.39683285,0.41971692,0.43485293,0.43560442,0.4249948,0.41634056,0.421669,0.4390137,0.45098186,0.4368799,0.38993645,0.32412544,0.2659236,0.23996912,0.25806472,0.31723973,0.3998249,0.47835198,0.5256862,0.5291089,0.49612942,0.44749606,0.40367046,0.37811956,0.37479624,0.3908399,0.4152006,0.43665412,0.44718316,0.44681147,0.4367557,0.41965875,0.4003185,0.38857603,0.3914009,0.40499592,0.41454092,0.40706575,0.38185656,0.35137066,0.33110762,0.33358514,0.3650246,0.42398405,0.49687758,0.56030965,0.5945663,0.59618115,0.57958263,0.56079054,0.5473626,0.537266,0.52933556,0.5238707,0.517594,0.50052387,0.46383426,0.40931138,0.35083696,0.3074702,0.29945847,0.34010696,0.4266881,0.52817184,0.5995855,0.60875803,0.56200993,0.4936029,0.44017243,0.4177396,0.42236063,0.43988433,0.45650628,0.46410704,0.46147594,0.45328805,0.44593623,0.4472555,0.4647285,0.5061984,0.5706177,0.64412266,0.6974456,0.7054259,0.66175216,0.5884054,0.5169809,0.47067145,0.45290038,0.4538466,0.46119347,0.46546078,0.46323207,0.45326218,0.43688926,0.4152646,0.39419678,0.38527012,0.4032447,0.45442042,0.5272209,0.5962498,0.638055,0.6456135,0.6266212,0.592248,0.5498194,0.50604564,0.47106716,0.45412156,0.4555827,0.4655522,0.47210553,0.46932223,0.46014068,0.45321026,0.4611294,0.49421993,0.5522894,0.61738986,0.66175014,0.66679096,0.6364911,0.59267,0.55642414,0.5366065,0.5298247,0.5288787,0.5276932,0.52298397,0.5143816,0.503596,0.4932219,0.48556256,0.48396504,0.49494997,0.52331215,0.566264,0.6073325,0.6276758,0.6171965,0.58440083,0.5466012,0.51879317,0.5043068,0.49749327,0.49013582,0.47829083,0.4643297,0.4537512,0.44928822,0.44921502,0.45241642,0.46448028,0.49631914,0.5507441,0.6133763,0.6537705,0.6484868,0.5960532,0.5214569,0.4540063,0.41139713,0.39142218,0.38153824,0.36774814,0.34186697,0.305236,0.26855463,0.24599661,0.24581309,0.2674452,0.3082167,0.3688533,0.44878784,0.5344615,0.5995493,0.6209838,0.59639287,0.54504734,0.4918529,0.4532021,0.43354106,0.43058038,0.43915105,0.45212996,0.46357074,0.4704661,0.4739577,0.47620642,0.48146477,0.49774322,0.5339341,0.5900347,0.6480629,0.67962885,0.66414434,0.60562223,0.5286841,0.46220765,0.42317256,0.4137547,0.42538083,0.4449986,0.4593524,0.4611957,0.45147064,0.4378201,0.428686,0.43106425,0.4502953,0.4873321,0.5347228,0.5747835,0.59008926,0.57414144,0.5378382,0.4999611,0.47539568,0.46740532,0.46996036,0.47436917,0.47234717,0.45918503,0.4342793,0.4036771,0.3770685,0.3651458,0.37732187,0.4205718,0.49280024,0.5755658,0.6364282,0.64943093,0.6132506,0.5536205,0.5001664,0.4685453,0.45401216,0.44367698,0.424979,0.3921908,0.34753868,0.30073655,0.26315287,0.24191315,0.2402683,0.26439494,0.32255754,0.414596,0.51898736,0.6000007,0.62906426,0.605556,0.5545338,0.50715536,0.4812099,0.47526827,0.4765413,0.47121975,0.45265284,0.42449048,0.39750147,0.38245532,0.3834325,0.3996917,0.4338483,0.49080887,0.56954974,0.64799756,0.6954703,0.69057083,0.6430785,0.5807341,0.52980536,0.49685875,0.4732143,0.4465098,0.41057625,0.37016222,0.33898807,0.3323139,0.35638428,0.40387854,0.46161166,0.51963407,0.57407135,0.6191032,0.6435445,0.63707924,0.6013749,0.5529442,0.5121922,0.49114415,0.4879817,0.49304855,0.49616992,0.4909517,0.47508243,0.4483101,0.41185915,0.36971864,0.33302125,0.3213173,0.35350773,0.432441,0.5329034,0.61258984,0.6369595,0.6048998,0.5458549,0.49782512,0.4798417,0.48727536,0.5024741,0.5111925,0.50841576,0.4963951,0.48148915,0.4691566,0.46483684,0.4704831,0.49042478,0.5261941,0.57596046,0.6245926,0.65138423,0.64001155,0.5937703,0.53259367,0.48116076,0.45487788,0.456409,0.47954038,0.51383275,0.5478943,0.57238424,0.5825096,0.5778913,0.5610514,0.5385446,0.52372223,0.53106695,0.56450325,0.60647386,0.62981385,0.6158543,0.57113415,0.5167416,0.47444764,0.4516071,0.44450784,0.44195214,0.4353106,0.4206687,0.40362036,0.39140642,0.3910173,0.40209875,0.42705998,0.46861777,0.5296379,0.5960502,0.6412497,0.6389612,0.5877914,0.51218754,0.44571486,0.4088546,0.40244588,0.4154428,0.43481338,0.4503584,0.4562392,0.45069733,0.43493178,0.41142997,0.38643086,0.3757367,0.40065667,0.47275743,0.5725127,0.6554429,0.67883605,0.63675874,0.56012344,0.4931552,0.46141183,0.46414992,0.48330927,0.50058645,0.5064749,0.5033823,0.5016002,0.51177454,0.53732485,0.57150126,0.6058453,0.63535094,0.66060656,0.6752856,0.66741014,0.625076,0.5538371,0.47423497,0.41262254,0.3849084,0.39267787,0.42545423,0.46727553,0.5040723,0.5278391,0.5379942,0.5373345,0.5302902,0.52404135,0.52914757,0.5537594,0.5935226,0.6301716,0.64284116,0.62468606,0.5869737,0.54895407,0.52258295,0.5077707,0.4965662,0.48155484,0.4597436,0.4335811,0.4092466,0.39242843,0.38591996,0.38949755,0.4068539,0.4452342,0.50858796,0.5834368,0.64068025,0.6529774,0.61690784,0.5558483,0.50127035,0.47190487,0.46627903,0.4721527,0.47734985,0.47550568,0.46592155,0.45041728,0.4314588,0.41136917,0.39584205,0.39847514,0.4336997,0.5056636,0.5910046,0.65224856,0.6567581,0.60538507,0.52515924,0.4530243,0.4117975,0.40532908,0.4223272,0.44477463,0.45814082,0.45750973,0.44852367,0.43829736,0.42880586,0.42071572,0.42194486,0.4473376,0.5012546,0.56585497,0.608109,0.6065491,0.56749505,0.51896936,0.48734292,0.48108995,0.49105367,0.5030715,0.50844055,0.506702,0.500937,0.49267486,0.48059526,0.4651049,0.45434424,0.46321687,0.5017622,0.5621998,0.6181376,0.6428368,0.62786186,0.5883529,0.5471299,0.5186905,0.5029444,0.49177003,0.47762036,0.45822772,0.43801177,0.42406842,0.42082036,0.42668414,0.43785834,0.456462,0.48974705,0.54220843,0.60241336,0.6475131,0.65665454,0.62870914,0.5809044,0.53563744,0.5055873,0.4897274,0.48017922,0.46975172,0.4571879,0.4461722,0.4414995,0.4445958,0.45418486,0.47063804,0.5003101,0.5476804,0.60658044,0.65477663,0.67016554,0.64574105,0.59694105,0.5467208,0.51072186,0.4906948,0.47974828,0.46913365,0.45155075,0.42504618,0.3954803,0.37369737,0.36762798,0.3759899,0.39554062,0.4279201,0.47966456,0.54679894,0.6078089,0.63480335,0.61518306,0.56324273,0.5059741,0.46504298,0.44389167,0.43474624,0.4252608,0.40626296,0.37262312,0.32565615,0.2712693,0.21996437,0.18621975,0.19121094,0.2525564,0.36945796,0.5065713,0.6097569,0.6369433,0.5893758,0.50562507,0.43333042,0.40077576,0.40894392,0.44174585,0.47694755,0.49852952,0.50017786,0.48722467,0.468672,0.4536637,0.44905794,0.4627229,0.49923563,0.55496264,0.61266756,0.6502008,0.6518022,0.6191399,0.5678051,0.51871455,0.48829663,0.4831706,0.49856222,0.51994944,0.531591,0.5256607,0.50528556,0.4789975,0.4537638,0.43719754,0.4403619,0.47401443,0.5337698,0.5940978,0.62168527,0.59945816,0.53900665,0.46903655,0.41481552,0.38506117,0.372799,0.36480132,0.34937873,0.32449722,0.2960988,0.2731866,0.2587384,0.2528396,0.2620677,0.30214325,0.3827877,0.48663923,0.5707236,0.59451777,0.55115026,0.471159,0.3965685,0.35419783,0.34542534,0.3548142,0.36056563,0.34481952,0.3015994,0.23949482,0.17550404,0.123754375,0.09076244,0.07835538,0.0882571,0.12014959,0.1663831,0.21040738,0.23410255,0.22798015,0.19739835,0.15914783,0.13299765,0.13252342,0.15876362,0.19933687,0.23320985,0.24267207,0.22193868,0.17967951,0.13192683,0.09595212,0.08612916,0.110389,0.16592264,0.23649721,0.30061767,0.34206018,0.35866618,0.35823724,0.3518829,0.34733728,0.34789225,0.35157046,0.3524047,0.34323534,0.32085666,0.28755113,0.24915169,0.21102293,0.1776023,0.1540135,0.14470755,0.14984821,0.16172673,0.17011398,0.16836578,0.1582335,0.14617728,0.13969922,0.14461668,0.16257407,0.18885176,0.21080835,0.21535082,0.19602323,0.15886115,0.118041106,0.09155723,0.0953977,0.13809656,0.2124842,0.2944007,0.35460696,0.37972888,0.37944844,0.3738204,0.3708769,0.36558,0.35506907,0.35053858,0.3650376,0.39372328,0.4173673,0.4209167,0.41047087,0.39826512,0.38838995,0.37312543,0.3507829,0.33152258,0.3258241,0.32932043,0.32347494,0.29381636,0.24292819,0.18972816,0.15680586,0.15964025,0.20044158,0.26545644,0.32784083,0.35782722,0.33947816,0.27925566,0.20368482,0.14391309,0.12401702,0.15098661,0.21490586,0.29145417,0.3546503,0.3879924,0.39090255,0.3741305,0.3508675,0.3316908,0.32026473,0.31461135,0.30656448,0.28929666,0.26052237,0.22527038,0.19056334,0.16224472,0.14342165,0.13599008,0.14022301,0.15299267,0.16691095,0.17397642,0.16999221,0.15701918,0.14144786,0.131729,0.13667238,0.16055898,0.19809026,0.23183398,0.24274461,0.2218544,0.17720175,0.12618023,0.08595625,0.06737458,0.07450989,0.10418383,0.14544375,0.18316518,0.20571244,0.21064182,0.20422304,0.19638874,0.19688092,0.2122794,0.24160008,0.27327916,0.28851548,0.27370182,0.22963905,0.17100406,0.11621473,0.080450416,0.07561487,0.11032224,0.18416388,0.2796736,0.36507154,0.40956438,0.4006728,0.35047045,0.28665975,0.23800953,0.22059125,0.23224781,0.25486648,0.2659953,0.2516927,0.21318088,0.16334699,0.11939374,0.09806197,0.11277809,0.16762172,0.2515837,0.33963063,0.40693048,0.44203985,0.45159283,0.44991073,0.4492369,0.45407555,0.4632945,0.472136,0.4753238,0.46981406,0.45719287,0.4417831,0.42748407,0.4150513,0.40460524,0.39672652,0.3928543,0.3916746,0.38939187,0.38235816,0.37054968,0.35782602,0.34829125,0.34461018,0.34735742,0.3552359,0.36374536,0.36429247,0.34872046,0.31358573,0.26322415,0.20745625,0.15981399,0.13638978,0.14951701,0.1993357,0.26686877,0.32418445,0.35198534,0.35303226,0.34513506,0.3435453,0.35071155,0.36107382,0.37057972,0.37735292,0.37674204,0.3635796,0.33929512,0.31444073,0.29825667,0.29013097,0.2844865,0.28067043,0.28676343,0.30561197,0.32883933,0.33894196,0.32659915,0.2966508,0.2654536,0.24931984,0.2549232,0.27562317,0.29303253,0.28887936,0.25557557,0.2019055,0.14481942,0.09995162,0.07568777,0.07460395,0.09396265,0.12559088,0.1564579,0.17500542,0.1766874,0.16592872,0.15229167,0.14646275,0.15781222,0.18878163,0.23123747,0.26494172,0.2707542,0.24130379,0.18765546,0.12912486,0.084391676,0.06503577,0.07563139,0.11240468,0.16230257,0.20749073,0.23412645,0.23954774,0.23066844,0.2168938,0.20410818,0.19372857,0.18497778,0.17686921,0.16889124,0.1608193,0.15248698,0.14365874,0.1341228,0.12379693,0.11279285,0.101282805,0.089470185,0.077640735,0.066281974,0.055972278,0.047133416,0.039831977,0.033838812,0.028835535,0.024582444,0.020942306,0.017831229,0.015173886,0.012888915,0.010903261,0.009176142,0.007748703,0.0067402646,0.006304265]