[0.03227623,0.050066125,0.08795077,0.13084273,0.16252281,0.17365968,0.16808854,0.15717031,0.15095966,0.15075962,0.15290229,0.15520036,0.1611573,0.17511041,0.19612662,0.21635811,0.22725584,0.2261645,0.2173089,0.20715106,0.19925828,0.19368345,0.18832959,0.18130396,0.17105602,0.15729466,0.14146626,0.12712677,0.11853859,0.11742142,0.12111416,0.12337803,0.1201667,0.11379651,0.11247481,0.122656226,0.14316137,0.16610481,0.18476857,0.1991095,0.21344541,0.23007579,0.24603271,0.25752953,0.26484576,0.27267656,0.28400338,0.29537705,0.29969528,0.2933394,0.28227812,0.27615142,0.2802739,0.2880405,0.28927186,0.27859652,0.26234293,0.24959642,0.24460028,0.24258602,0.23710345,0.22568774,0.2116524,0.19990592,0.19366102,0.19307573,0.19570625,0.19723098,0.19365774,0.18334979,0.16884919,0.15493797,0.14669561,0.14574558,0.1496786,0.1528001,0.15121253,0.14656848,0.1454655,0.15348928,0.16942286,0.18625613,0.1965105,0.19784613,0.19228935,0.18338554,0.17298788,0.16180782,0.1498031,0.1369419,0.123307906,0.110959806,0.10538567,0.11392506,0.14045095,0.18017973,0.2208939,0.25108024,0.2664201,0.2713137,0.27173784,0.2745044,0.28361118,0.3025819,0.32721046,0.34823582,0.35305336,0.3361168,0.30029282,0.2562216,0.21433716,0.18016015,0.15212227,0.1256883,0.09894776,0.07557958,0.06310354,0.06647274,0.08358387,0.10568341,0.12457553,0.14029808,0.16095696,0.1945092,0.23776233,0.27630237,0.29543826,0.2944139,0.28821883,0.2951511,0.32111526,0.35661194,0.38593766,0.40055636,0.40161526,0.39611194,0.38906756,0.3825018,0.37719262,0.37501776,0.37774602,0.38385773,0.38931027,0.39055964,0.38794398,0.3831435,0.37518668,0.35924378,0.33098146,0.29187575,0.24943005,0.21266176,0.18641984,0.17021681,0.16021752,0.15226173,0.14325984,0.13166547,0.11823338,0.105772026,0.09815013,0.09700927,0.10021034,0.10254708,0.10039506,0.09509856,0.0919208,0.0948929,0.10270832,0.11044777,0.11414822,0.114101104,0.11301911,0.11292589,0.1132888,0.112541616,0.109621435,0.10492665,0.09949777,0.09532412,0.09552353,0.10453585,0.12634186,0.1611412,0.20475523,0.24914666,0.2886401,0.32064632,0.34726158,0.3690699,0.3842448,0.3872092,0.3741069,0.3462254,0.31105533,0.2774917,0.25056192,0.22959268,0.2110755,0.19205779,0.17196894,0.15195976,0.13477515,0.12367481,0.12200233,0.12996581,0.14394684,0.15665092,0.16435014,0.17044793,0.18552794,0.21653478,0.26016426,0.30284396,0.3310566,0.33948445,0.3319194,0.31625494,0.29733977,0.2754004,0.24707137,0.21201314,0.17560792,0.14783017,0.13560039,0.1381195,0.14875625,0.16224222,0.17739666,0.19339125,0.20418824,0.20227462,0.18610688,0.16443308,0.14860284,0.14390557,0.14713599,0.15255165,0.15714706,0.16056402,0.16246198,0.16149782,0.15683256,0.14896466,0.13922773,0.12861086,0.11812997,0.10926327,0.10425108,0.103945434,0.106285125,0.10658678,0.10176229,0.09401461,0.089962326,0.09507974,0.10869495,0.12519278,0.13941066,0.15095837,0.16259658,0.17552441,0.18674326,0.19128345,0.18635799,0.17259522,0.1527632,0.12960298,0.10719653,0.09187584,0.09326614,0.119054444,0.17024808,0.2356795,0.29749334,0.33912483,0.3566709,0.35752177,0.35492456,0.35717234,0.36607525,0.3778235,0.3874847,0.3900478,0.38136268,0.35939047,0.32476905,0.28133264,0.23407924,0.1887954,0.15095283,0.12675335,0.12284305,0.14319132,0.18442695,0.23148894,0.26596728,0.2765459,0.2711599,0.26709273,0.27909568,0.3049308,0.33366457,0.3536069,0.3619428,0.35954145,0.34970555,0.33487022,0.31936958,0.30600736,0.29711327,0.2933301,0.2969092,0.3084944,0.3254126,0.33972955,0.3430097,0.33042935,0.30344534,0.26766726,0.23111962,0.20099385,0.18195374,0.17329222,0.17137237,0.17232567,0.17571312,0.18226868,0.19159335,0.20026487,0.20384805,0.19893897,0.18484701,0.16372962,0.14041531,0.12067438,0.10916409,0.106594555,0.10945606,0.11161194,0.10904304,0.10262654,0.09784049,0.099325694,0.10699979,0.11583621,0.12128181,0.122980535,0.12476805,0.12997247,0.13816808,0.14536,0.14714926,0.14123686,0.12779152,0.10947546,0.09211951,0.08525142,0.09797899,0.1321082,0.17788492,0.22077374,0.25247225,0.2766827,0.30128837,0.32895336,0.35475537,0.37306738,0.38225162,0.38307488,0.37528777,0.35815093,0.33468333,0.31184408,0.29548874,0.28421107,0.27035928,0.24690609,0.21414562,0.18022452,0.15666646,0.15158427,0.16401416,0.1826459,0.19373553,0.1920094,0.18610369,0.18781161,0.19965522,0.21073271,0.21061744,0.20148546,0.19881743,0.21708585,0.25652096,0.30215207,0.33437765,0.3432033,0.33136424,0.3091719,0.28250536,0.25283703,0.22133778,0.1970347,0.18982561,0.20229162,0.22393543,0.24039833,0.2437498,0.23644389,0.2257425,0.2161191,0.20791177,0.19903535,0.18898894,0.1782497,0.16803396,0.1584435,0.14916712,0.13926317,0.12787041,0.11437657,0.09950798,0.08580043,0.07703895,0.07573568,0.08062348,0.086222686,0.08708572,0.08263899,0.079776466,0.08660579,0.106292546,0.13227038,0.15522844,0.16831483,0.17201744,0.16922642,0.16283856,0.15365602,0.14241686,0.13076165,0.12173056,0.12041053,0.13198817,0.15914412,0.19931413,0.24639602,0.29283938,0.32958484,0.34728768,0.3423048,0.32395396,0.30902013,0.30872986,0.31920007,0.33169785,0.34175983,0.35235515,0.3614883,0.36236084,0.34868428,0.32430783,0.29904845,0.27774706,0.25588724,0.22359473,0.18065946,0.13773799,0.11183056,0.109086774,0.12191496,0.13551448,0.14354938,0.15442,0.17859526,0.21582162,0.2493602,0.2663475,0.26867813,0.27365422,0.2935846,0.32554874,0.35554996,0.37154642,0.3745323,0.3736477,0.38038424,0.39671266,0.4185181,0.43604422,0.44337967,0.43687811,0.4195633,0.39795914,0.38184822,0.3772135,0.38194215,0.38599277,0.377197,0.35099843,0.31239522,0.27362427,0.24402654,0.22686438,0.21994753,0.220639,0.22715367,0.23387326,0.23186703,0.21172245,0.17672871,0.14208566,0.12834914,0.1424519,0.17331152,0.20117392,0.21572232,0.22517912,0.24192624,0.26928663,0.29314083,0.30151197,0.2920239,0.27631757,0.26379022,0.2591397,0.26166773,0.27058718,0.28403497,0.29524127,0.29547307,0.2777882,0.24739063,0.21823253,0.20707369,0.217934,0.24041684,0.2577388,0.2635257,0.26908877,0.29044184,0.3324716,0.37883857,0.4096506,0.41450763,0.40202892,0.38531426,0.37444806,0.3710598,0.37431994,0.38194022,0.38796595,0.38197187,0.3536953,0.30549237,0.25508898,0.22746666,0.23500967,0.26877752,0.30747333,0.33548042,0.35399517,0.36949798,0.3836665,0.38621283,0.3720478,0.3464329,0.32719365,0.32657757,0.34548452,0.3731993,0.3983445,0.41534486,0.42323026,0.4226712,0.4118856,0.39089838,0.3621322,0.33209693,0.3062676,0.28731668,0.27641234,0.27539358,0.2888327,0.3143396,0.34241572,0.35557207,0.34707913,0.32192934,0.29626217,0.27964163,0.2732235,0.27193275,0.2722384,0.27282226,0.26901254,0.25390142,0.22125192,0.17733532,0.13807459,0.1225301,0.13569331,0.16582794,0.1930483,0.20667537,0.21492648,0.2312913,0.26109347,0.2894903,0.30208194,0.29314062,0.27504438,0.259328,0.2532525,0.25517893,0.26274058,0.2729344,0.2800789,0.27669156,0.25715002,0.22802,0.20527929,0.20518555,0.22916238,0.26458448,0.29767755,0.32485214,0.3527392,0.38464084,0.41748956,0.4419736,0.45533422,0.45881143,0.45840845,0.4552747,0.45021114,0.44279608,0.43594357,0.4311132,0.42739668,0.42075518,0.40846276,0.39253125,0.37886178,0.3728285,0.37374195,0.37440315,0.36751464,0.35244727,0.3397291,0.33911344,0.35298732,0.36947763,0.37974355,0.38142112,0.38201892,0.38267455,0.37989187,0.36968157,0.35740677,0.3523626,0.3574164,0.3653389,0.36536252,0.35522875,0.34117106,0.3318495,0.32890853,0.3280462,0.32490742,0.32099038,0.32356468,0.33609378,0.35403213,0.3637358,0.3574736,0.33659914,0.31261072,0.29300308,0.280028,0.27134117,0.2665929,0.26584965,0.2641208,0.2516717,0.21929248,0.1718626,0.12690346,0.10674194,0.11861718,0.15062052,0.18035544,0.19497947,0.20253809,0.21869545,0.25104058,0.28552833,0.30664876,0.30700448,0.29711923,0.28717878,0.2834518,0.28462934,0.28942505,0.29600587,0.29915223,0.29146877,0.2665958,0.22810423,0.18612938,0.1535675,0.13533233,0.13001323,0.13332628,0.1465085,0.17627585,0.22741203,0.2946123,0.36080483,0.4096162,0.43354738,0.43716037,0.4269898,0.40924904,0.38913548,0.3744125,0.37089717,0.37650302,0.3801851,0.36699757,0.33201727,0.28495938,0.24991931,0.24582581,0.27454433,0.31678775,0.35038292,0.367245,0.37457904,0.38348758,0.39277586,0.39561912,0.38478696,0.3641963,0.34027424,0.32003537,0.30582154,0.29931247,0.3018853,0.31286192,0.32758412,0.33643612,0.33151734,0.3112616,0.2839855,0.26107323,0.24936755,0.247473,0.25069907,0.25948158,0.2757863,0.2978767,0.3127221,0.30987346,0.28785118,0.2598657,0.23782496,0.22671217,0.22253497,0.22194494,0.22605793,0.23594005,0.24862127,0.25431043,0.24821974,0.2332809,0.22234614,0.22309488,0.2339518,0.2444784,0.24922806,0.25403225,0.26810193,0.29280606,0.31437376,0.32012698,0.30659226,0.2855858,0.26821855,0.25999,0.25787374,0.25845397,0.26064515,0.26339874,0.2640486,0.25683716,0.24064606,0.21846129,0.1987286,0.18730552,0.18835054,0.20331025,0.23338014,0.27753595,0.32828453,0.37303567,0.39778444,0.39967993,0.3874748,0.37742218,0.3781846,0.38800165,0.39767018,0.4002855,0.39267042,0.37395826,0.343748,0.30452153,0.26342404,0.23042615,0.2146023,0.21950565,0.24206172,0.27289835,0.30183366,0.32182047,0.33144268,0.3326082,0.32847014,0.322265,0.31631204,0.3122102,0.31010437,0.3103536,0.31193027,0.31317997,0.3111671,0.30594876,0.2997757,0.29634866,0.2945901,0.2899286,0.27588677,0.25043818,0.21567805,0.17728227,0.14096366,0.11172242,0.09275294,0.084824234,0.08572576,0.090595216,0.09429123,0.093523264,0.08845052,0.08136695,0.07494398,0.07031432,0.067154266,0.06443735,0.061541125,0.058465023,0.055588976,0.053194836,0.05150677,0.05184443,0.058062773,0.07705681,0.114720784,0.17111045,0.23650698,0.2954034,0.33199087,0.33782026,0.3149843,0.27779868,0.24614201,0.23429388,0.24100359,0.25280538,0.25665954,0.24996203,0.23709686,0.2206092,0.19880539,0.17319779,0.1530488,0.14843406,0.15886031,0.17305203,0.18228896,0.19325857,0.2200623,0.2690058,0.3256464,0.37059113,0.39152136,0.39398506,0.38709095,0.3781705,0.36870226,0.36142135,0.36036542,0.36533466,0.36883378,0.35783514,0.32726562,0.28303972,0.24068122,0.21091913,0.19604512,0.191001,0.19242609,0.2018348,0.22035532,0.24344738,0.258347,0.25617644,0.23720485,0.21313642,0.19465165,0.18700315,0.18992333,0.20329328,0.2283355,0.2607163,0.28951666,0.29895914,0.2836578,0.25094497,0.21896611,0.20058984,0.19853169,0.20677607,0.22001614,0.23821934,0.26065406,0.28086948,0.28482974,0.26492697,0.22613126,0.1858381,0.1583292,0.14757074,0.14829682,0.15583332,0.17153703,0.19769849,0.23063008,0.25666106,0.26404357,0.25176463,0.23432557,0.22701962,0.23676258,0.25669184,0.27782512,0.29532918,0.3107132,0.32463443,0.3335286,0.33385947,0.32644346,0.31931797,0.31894568,0.32729816,0.33822107,0.34657553,0.35034838,0.35258028,0.35406566,0.3517641,0.34201774,0.3259647,0.31133154,0.30397913,0.30448344,0.30685356,0.3100346,0.31927347,0.34290624,0.38037658,0.42086706,0.45180294,0.4676381,0.471615,0.4676077,0.45647588,0.43746957,0.4136342,0.39398703,0.38786265,0.3992633,0.42168936,0.44412518,0.4562457,0.45499766,0.44232967,0.42478085,0.41077423,0.40843156,0.4199706,0.43696466,0.44512522,0.4342337,0.40978768,0.38807568,0.38412848,0.39755547,0.41500163,0.42097893,0.41073108,0.39269674,0.38031808,0.38084003,0.38827065,0.39151457,0.38441408,0.3740313,0.37166405,0.3851209,0.41206327,0.44598696,0.47872385,0.50245196,0.508864,0.4925444,0.45601037,0.4097989,0.36812267,0.34047124,0.32807574,0.3255756,0.3264247,0.32674432,0.32210648,0.30612656,0.27150747,0.2208441,0.1685614,0.13698195,0.13842462,0.16778614,0.20333336,0.2263806,0.23445205,0.24147443,0.26023048,0.287854,0.31113303,0.31993437,0.31804463,0.31485215,0.3173089,0.3251957,0.3353969,0.34464142,0.34770975,0.33819672,0.31045976,0.26869604,0.22645265,0.20329434,0.21019356,0.24474382,0.29074642,0.33214673,0.3611071,0.38003266,0.39251068,0.39762655,0.3935387,0.3835056,0.37830904,0.38692066,0.41042662,0.439492,0.46287492,0.47261283,0.46770808,0.45148778,0.43028674,0.41175318,0.40136564,0.40059438,0.4032588,0.40077797,0.384228,0.3543621,0.32178947,0.3052498,0.31731427,0.3557414,0.40413383,0.44395494,0.46463165,0.4651829,0.45011318,0.42677855,0.40321365,0.3858703,0.3735402,0.3580712,0.32889935,0.28575262,0.24142562,0.21847315,0.23155494,0.27796954,0.33581448,0.38145113,0.40285203,0.40403,0.3932611,0.37458086,0.34883872,0.32061338,0.29866824,0.2888731,0.28917012,0.2933515,0.29759037,0.30225053,0.30523401,0.29855683,0.2718974,0.22535849,0.1739189,0.14251083,0.14673948,0.18272483,0.22658968,0.25569013,0.26376405,0.26559225,0.27747092,0.30212364,0.32713532,0.34124696,0.3442899,0.34407938,0.34551933,0.3480796,0.34998325,0.3528291,0.35794473,0.3629612,0.3616991,0.35200956,0.33975482,0.3370351,0.35148787,0.37954822,0.40781212,0.42417166,0.4273007,0.42549133,0.42753306,0.43314898,0.43598178,0.43064675,0.42023933,0.41201058,0.4117327,0.41829452,0.4270011,0.43292925,0.43294874,0.4235121,0.3996977,0.3601797,0.31183323,0.2725788,0.2597788,0.28071377,0.32402417,0.37157598,0.40904966,0.43444467,0.44990575,0.45552608,0.4488796,0.431707,0.41202506,0.39896274,0.3951786,0.39612198,0.3945708,0.38880405,0.38139966,0.37577882,0.36876142,0.35603952,0.33730248,0.32249156,0.32266423,0.34196737,0.37159362,0.3990005,0.41649488,0.42586064,0.43083718,0.4323603,0.42846385,0.42083302,0.41425943,0.41311786,0.41568068,0.41737303,0.4137785,0.40414336,0.386963,0.3588641,0.3152223,0.25847617,0.20144343,0.16456944,0.16224273,0.19233848,0.23454332,0.26622638,0.27834073,0.28225437,0.29335764,0.31627956,0.33929196,0.3510448,0.3500255,0.34589836,0.34628356,0.35274473,0.36111578,0.36731425,0.3666308,0.35399222,0.32501695,0.2827912,0.24030004,0.2177348,0.22920208,0.27231607,0.3263147,0.36798838,0.38785544,0.39531925,0.40358773,0.41509748,0.41978952,0.40958917,0.38886118,0.371828,0.36914393,0.38002315,0.3948634,0.40523207,0.40900365,0.40948164,0.40961826,0.41026917,0.4102131,0.4088788,0.40502405,0.39616036,0.37799573,0.3507129,0.3234129,0.31388262,0.33554652,0.3869399,0.44912246,0.49932447,0.5216479,0.51352984,0.48086163,0.4360329,0.3929135,0.3637419,0.3524107,0.3536683,0.3567884,0.3542508,0.3467311,0.34141025,0.34503683,0.3574547,0.37174106,0.37994853,0.3796108,0.37535855,0.37138745,0.36667582,0.35406002,0.33225688,0.30854067,0.29599833,0.2997884,0.3149887,0.33133426,0.34222463,0.34581414,0.34069124,0.32363302,0.29248008,0.25243223,0.216397,0.19801503,0.20147784,0.21822892,0.23632805,0.25112557,0.26958552,0.29748645,0.33145142,0.35743067,0.36649,0.36017898,0.35027775,0.34570912,0.34936297,0.35742095,0.36606622,0.37243846,0.3759817,0.37579712,0.37172782,0.36427924,0.35626343,0.3499602,0.34613287,0.34289435,0.34058276,0.34282455,0.35716543,0.38754657,0.43167838,0.4787073,0.516378,0.53385,0.5270002,0.497064,0.45297983,0.4074031,0.37387088,0.3603729,0.3674984,0.38813627,0.41091016,0.42511654,0.42544016,0.41323352,0.39475715,0.3775992,0.3693643,0.3745027,0.39224637,0.41319907,0.4246169,0.41828814,0.39934644,0.38123786,0.37505522,0.37928963,0.38407078,0.3812647,0.37281343,0.36762524,0.37243602,0.38456964,0.39375195,0.39192012,0.38067606,0.37048447,0.3716642,0.3879684,0.41705573,0.45382068,0.49251404,0.5237898,0.53729755,0.5243769,0.48656428,0.43429697,0.38458863,0.34971246,0.33329964,0.32957232,0.33064458,0.33005893,0.32163703,0.29932725,0.26061526,0.21506773,0.18156861,0.17818588,0.20669635,0.25030857,0.28607404,0.3018397,0.30543283,0.31102687,0.3259053,0.34064314,0.3447477,0.33482316,0.32008353,0.309399,0.30738223,0.31260863,0.32285058,0.3356072,0.34705493,0.35253346,0.3492842,0.34218693,0.3431253,0.36496732,0.41089368,0.47007075,0.5240042,0.5561116,0.5615962,0.543813,0.51261324,0.47542155,0.4407622,0.41388115,0.39936256,0.39530897,0.3970848,0.39958906,0.4027051,0.41006687,0.42431745,0.44330227,0.45942846,0.46536958,0.45760417,0.4393637,0.41620675,0.3928753,0.37101898,0.3535982,0.34845603,0.3644928,0.4037572,0.4542152,0.49769342,0.51807433,0.5108647,0.47994903,0.43627867,0.39306715,0.3623428,0.3498533,0.35202584,0.36042428,0.36737302,0.37282804,0.38102075,0.3956139,0.4125911,0.42267594,0.41810644,0.3997096,0.37843624,0.36400735,0.35903835,0.35341084,0.34076512,0.32143724,0.3072238,0.3047799,0.3142396,0.32770118,0.33841082,0.3414693,0.33233944,0.30697075,0.26496035,0.21644896,0.1790105,0.1697408,0.19171868,0.23072864,0.2642804,0.27794304,0.27755094,0.2787216,0.29258928,0.3113655,0.3229898,0.32064936,0.3123494,0.30677238,0.3089789,0.31724742,0.33074668,0.3505964,0.37786183,0.41012192,0.4401755,0.46115613,0.46922734,0.4659512,0.45325422,0.43257284,0.40590551,0.38067564,0.36960387,0.38099334,0.41058302,0.43860254,0.447619,0.4347554,0.4176308,0.41475806,0.4318324,0.45628607,0.4710755,0.46561062,0.4382713,0.392465,0.33468226,0.27853885,0.24312164,0.24407281,0.28108534,0.33554757,0.3836781,0.41088662,0.42033017,0.4206163,0.41802666,0.40878507,0.39216265,0.37157026,0.35683107,0.35125133,0.35223436,0.35305288,0.3508918,0.34669304,0.3410444,0.33209264,0.31698263,0.29918346,0.28794906,0.29443756,0.3208883,0.35909986,0.39501587,0.4193984,0.4330304,0.44112417,0.44743952,0.4484967,0.44278467,0.4317644,0.42383012,0.42406222,0.4340123,0.4484434,0.46121883,0.46758664,0.4673111,0.46219555,0.45168194,0.431452,0.39867315,0.35907638,0.3265804,0.31352022,0.32121912,0.34078074,0.36236098,0.38284627,0.40401706,0.42662978,0.44676948,0.4587076,0.45907044,0.4486514,0.43091154,0.40928075,0.38631114,0.36367813,0.3433161,0.32565615,0.30894944,0.28919235,0.26586258,0.24439187,0.23432207,0.23958816,0.25612625,0.27518988,0.29454106,0.31372786,0.3312615,0.3358779,0.32221022,0.29270437,0.26196665,0.23927206,0.22719343,0.22138436,0.21928245,0.2203625,0.22135453,0.21575202,0.19605704,0.1650634,0.13472758,0.12150381,0.13093072,0.15510006,0.17889918,0.19464923,0.20934886,0.23249005,0.26482204,0.2898053,0.29548284,0.28159836,0.26514378,0.25695428,0.2584174,0.2608672,0.26039875,0.25927302,0.2615042,0.2657696,0.26400754,0.25042763,0.22707129,0.2064092,0.20038052,0.21339065,0.23944497,0.27046272,0.3028189,0.33388987,0.35810962,0.36401853,0.3483665,0.3177029,0.28820753,0.26972803,0.26506588,0.2708188,0.28339934,0.29790553,0.30576646,0.2986931,0.27269045,0.23547499,0.20136212,0.18634361,0.1951604,0.22028911,0.2459733,0.26259652,0.27373728,0.2879221,0.30700865,0.31859186,0.31294596,0.29027742,0.26478836,0.24666797,0.23860352,0.2358287,0.2361231,0.24165832,0.2547004,0.2741327,0.29277158,0.30504808,0.30824003,0.3070869,0.30584195,0.3079785,0.31248173,0.32002273,0.33333242,0.35256496,0.37152362,0.37800422,0.36899185,0.3508632,0.3355936,0.32482615,0.31235918,0.29189476,0.26540682,0.2411489,0.2228604,0.20713519,0.18489476,0.15563959,0.12849338,0.118534945,0.12978481,0.15236764,0.16954459,0.17508501,0.18063138,0.2031166,0.24800892,0.29799294,0.33108273,0.33597374,0.3230443,0.30922243,0.30645385,0.31575987,0.33212543,0.34911886,0.35693917,0.3444824,0.30428347,0.24332224,0.18170254,0.14012085,0.12538616,0.12926422,0.14400361,0.17057657,0.21738572,0.2803955,0.3430897,0.38080022,0.38512287,0.36246017,0.33196867,0.30642644,0.2915809,0.28543293,0.28480688,0.2856728,0.2809645,0.26254126,0.22469752,0.17430003,0.12871335,0.10901278,0.121849574,0.15473008,0.18366182,0.19461696,0.19603652,0.20640825,0.23483367,0.26660004,0.28351375,0.27753,0.26067877,0.2457255,0.23932414,0.2386694,0.24058121,0.24370341,0.2458037,0.24312319,0.23086882,0.21146178,0.19291992,0.18617977,0.19322924,0.20629603,0.21372141,0.21271951,0.21549183,0.23612075,0.2774603,0.32013965,0.34306023,0.3364645,0.31352317,0.29187593,0.28329554,0.286613,0.29634345,0.30790603,0.3180332,0.32402286,0.32304445,0.31704065,0.31087387,0.3108963,0.31735668,0.3243182,0.32288,0.3104898,0.2962146,0.29183885,0.30120096,0.31150284,0.30985805,0.29300013,0.2741152,0.2656833,0.2727134,0.2895325,0.30873927,0.32526624,0.33670053,0.3414683,0.33580032,0.3173984,0.28849587,0.26043728,0.2462483,0.25195408,0.27105394,0.29284728,0.31280193,0.33188912,0.3486456,0.35274327,0.3363657,0.30219588,0.26530442,0.2385701,0.22604728,0.2236238,0.22673242,0.23268145,0.23638882,0.22984414,0.2049285,0.16431414,0.121619165,0.09740841,0.10270047,0.1333034,0.17040592,0.19761105,0.21255259,0.22549637,0.24488612,0.2644334,0.2723435,0.2627485,0.24469972,0.22951008,0.22306468,0.22288291,0.22536369,0.22911231,0.23204802,0.23081554,0.22172445,0.20813382,0.19753732,0.19704552,0.20422035,0.2098217,0.20571995,0.19488947,0.19239004,0.21148582,0.25145593,0.2931331,0.31875548,0.3243451,0.32276997,0.325564,0.33425772,0.34215608,0.34354484,0.337877,0.32362258,0.2981122,0.25807285,0.21056072,0.1702243,0.15502568,0.16981806,0.20407279,0.2368273,0.25600466,0.2670798,0.2848816,0.31540427,0.34648907,0.36336088,0.36177814,0.35341677,0.3487687,0.350672,0.3532149,0.35224557,0.34769225,0.3407099,0.3304429,0.31354424,0.29119965,0.26808488,0.25105533,0.24058557,0.23365319,0.22796546,0.22819777,0.24304163,0.27462575,0.31396112,0.34245244,0.34878138,0.3340169,0.3118533,0.29355934,0.2835643,0.27934793,0.27799574,0.27732268,0.2725588,0.25651538,0.2227249,0.17570765,0.13074817,0.10958376,0.1227657,0.16337799,0.2073592,0.2342326,0.24089195,0.24286896,0.25497007,0.2759433,0.29245767,0.29447213,0.2851423,0.27353552,0.2653979,0.26097986,0.2590878,0.26021302,0.26190844,0.25841555,0.24124682,0.21007393,0.17402045,0.15095331,0.15333624,0.18234085,0.22620194,0.27161714,0.3119064,0.34657225,0.3739536,0.386603,0.3794004,0.35585913,0.3280342,0.30599958,0.2932994,0.28925005,0.29299834,0.30334482,0.31353167,0.31333277,0.29301015,0.25412312,0.20858677,0.17596108,0.16810471,0.18304968,0.20377022,0.2154842,0.21879256,0.22933996,0.25837517,0.29769284,0.32717052,0.33446506,0.32618392,0.31712973,0.3163741,0.32210672,0.32887673,0.33298177,0.33224893,0.32326242,0.30121812,0.26526675,0.2210236,0.18131696,0.15923011,0.16200016,0.1868852,0.22450571,0.26614836,0.30577645,0.33746853,0.35201678,0.3428791,0.31371137,0.27773193,0.24854584,0.23083687,0.22259422,0.22011685,0.22241785,0.22603025,0.22351485,0.20473306,0.16841646,0.12536713,0.09612751,0.094066985,0.11730454,0.14764635,0.16870968,0.17800324,0.18899716,0.21275662,0.24561675,0.27155098,0.28013563,0.27520683,0.26935863,0.27067542,0.27903494,0.28918764,0.29698563,0.2984822,0.29101983,0.2715728,0.24301447,0.21236289,0.19147485,0.18580551,0.1938796,0.20739467,0.22490881,0.2523205,0.29668418,0.35117903,0.39684856,0.41649225,0.40897664,0.38704315,0.36412033,0.34705248,0.33819214,0.34066042,0.35492086,0.37426862,0.3848739,0.37427273,0.3403101,0.29295048,0.2503606,0.22646247,0.22378707,0.23073159,0.23635189,0.24145527,0.25973448,0.29865158,0.34572366,0.37530652,0.37227592,0.347272,0.32568082,0.3253921,0.34348527,0.36535025,0.37843505,0.37884533,0.36580238,0.33900106,0.30249456,0.269379,0.25594786,0.26928744,0.30044472,0.3331244,0.3569158,0.37473974,0.39452565,0.41943228,0.44291615,0.45659032,0.45737195,0.44918454,0.436286,0.41885594,0.39502254,0.36580846,0.33675623,0.3110038,0.2858027,0.25281224,0.21092124,0.16977446,0.14910944,0.16053213,0.19990146,0.24503088,0.27628735,0.28951803,0.2999265,0.32120377,0.35149145,0.37331724,0.37317142,0.35232604,0.32452598,0.30255136,0.29267535,0.29398808,0.30242875,0.31000233,0.3082086,0.29060227,0.2594948,0.22422443,0.19726712,0.1852477,0.18664616,0.19425593,0.20344977,0.21699272,0.24152581,0.27684224,0.31094837,0.32783377,0.3233137,0.3083618,0.29911312,0.301128,0.30910623,0.31563058,0.32137462,0.33124474,0.34746024,0.36405548,0.37461093,0.377467,0.37892333,0.38426745,0.3938496,0.40144697,0.4028374,0.40040565,0.40210268,0.41034865,0.41646323,0.4067097,0.37841728,0.3446581,0.32441428,0.32585737,0.3430047,0.36376467,0.38036332,0.39068195,0.3946511,0.39155754,0.38241902,0.37191418,0.36618063,0.36760545,0.37231043,0.3746868,0.37390658,0.37549862,0.38509008,0.3981955,0.40185478,0.3833183,0.34571823,0.30342185,0.27233064,0.25480965,0.24565452,0.23935409,0.2368037,0.23776805,0.2362926,0.22194181,0.19141077,0.15458764,0.13232724,0.14013468,0.17696209,0.22234185,0.25519753,0.26897982,0.2781417,0.29708162,0.32567832,0.3453718,0.34222177,0.31740752,0.28763372,0.2665114,0.25892565,0.2610478,0.26833656,0.27574492,0.27749804,0.2678512,0.24690944,0.22339492,0.21047108,0.21538116,0.23272192,0.24893348,0.25482857,0.2555435,0.26622212,0.29686096,0.3411589,0.38036025,0.40019932,0.40092596,0.39480174,0.39326918,0.3996968,0.41041878,0.41969398,0.4226062,0.4151398,0.39460823,0.36344743,0.32939172,0.30453527,0.29616627,0.30483767,0.3229164,0.34404537,0.36555615,0.3898394,0.41405532,0.42906317,0.42246404,0.39436916,0.3581297,0.33382654,0.330664,0.34538475,0.36740056,0.388899,0.40508103,0.41193154,0.40476844,0.38158727,0.34530413,0.30462947,0.27007893,0.25051203,0.24856603,0.26251402,0.28884217,0.32509056,0.36451802,0.3948132,0.40078387,0.37860966,0.33763576,0.29653218,0.2672694,0.25307024,0.24992345,0.2538651,0.2598758,0.2598661,0.24426256,0.20980668,0.16688307,0.13680363,0.13796805,0.17150171,0.2181503,0.2547879,0.27230653,0.2840496,0.30556247,0.3389059,0.36488983,0.36796668,0.3464242,0.31657824,0.29184914,0.2785449,0.27445722,0.2777101,0.28533724,0.2918644,0.28930518,0.2730647,0.24664833,0.21983536,0.20160884,0.19389285,0.19245656,0.19398068,0.20156312,0.22410186,0.26311108,0.3080225,0.33691683,0.33863318,0.31653306,0.28843674,0.2661861,0.2549182,0.253075,0.2618631,0.28162464,0.30982247,0.3382798,0.35948786,0.3703837,0.37526798,0.379928,0.38855672,0.39975604,0.4113424,0.4215475,0.43182835,0.43923903,0.43735206,0.4177754,0.38431346,0.35095406,0.33557305,0.34314147,0.36552504,0.38858292,0.40334046,0.40918815,0.40888107,0.40536973,0.39789793,0.38536477,0.36548087,0.33947608,0.3114544,0.29000333,0.28350532,0.29623353,0.32585028,0.36047164,0.3842419,0.3813285,0.351172,0.30563298,0.2645015,0.23724087,0.22340043,0.21685886,0.21554281,0.22040986,0.22971343,0.23707587,0.23461981,0.22198264,0.20707463,0.20078756,0.20613487,0.21528018,0.21897322,0.21721394,0.2249953,0.25341043,0.2994031,0.3384057,0.35222626,0.33761504,0.31220233,0.2896429,0.27509665,0.2641649,0.25588074,0.2533742,0.25872228,0.26803556,0.27280068,0.2697619,0.26392537,0.26625547,0.28234085,0.3084897,0.33505288,0.35587108,0.37439165,0.3960429,0.4217416,0.44029868,0.4431003,0.42878652,0.40971848,0.39599004,0.39172444,0.391369,0.389107,0.38133383,0.36867312,0.35267267,0.33485553,0.315396,0.29555702,0.27758864,0.26416555,0.25541645,0.25026694,0.250525,0.26106736,0.2856493,0.3183563,0.34686628,0.3581737,0.35059825,0.3314099,0.31366265,0.30416673,0.30240703,0.30019885,0.29033303,0.2695814,0.2408786,0.20961416,0.18137963,0.15957278,0.1452357,0.13699271,0.13217862,0.12835465,0.1250103,0.12371612,0.12573163,0.12995976,0.13242476,0.13017778,0.1231603,0.114777856,0.10801413,0.10419911,0.10248694,0.101804346,0.10137099,0.10170192,0.10532928,0.11701248,0.14114407,0.17684497,0.21528713,0.24250185,0.24776463,0.23038907,0.20087717,0.1754797,0.16742878,0.18043505,0.2063784,0.23157835,0.24453586,0.24273628,0.23137857,0.2197751,0.21546964,0.22098643,0.23174109,0.23944652,0.2375276,0.22611846,0.21098477,0.20024319,0.20021325,0.21381794,0.23811395,0.26720938,0.2953726,0.32295918,0.34884802,0.3680592,0.36802348,0.34508047,0.306071,0.26840448,0.24250652,0.23018928,0.22760798,0.2339655,0.25240305,0.28008744,0.3064065,0.3133998,0.2948734,0.25793615,0.22233765,0.2004966,0.19465946,0.19840889,0.20865346,0.22860074,0.26001298,0.29700825,0.32293722,0.32637423,0.30650565,0.27664027,0.2490894,0.23131822,0.22488236,0.23118179,0.25197235,0.2812886,0.30578518,0.3065632,0.27919704,0.23448141,0.19660342,0.17990422,0.18504031,0.20081745,0.2197951,0.2426999,0.27031192,0.29600894,0.3035302,0.2859932,0.250877,0.22007346,0.20794697,0.21539806,0.23175643,0.2489845,0.26841465,0.2924277,0.31799507,0.33124474,0.3255554,0.30594712,0.2912931,0.29370302,0.3126868,0.33673266,0.35601923,0.36980817,0.37933406,0.38479546,0.37949255,0.3642695,0.34633973,0.34013328,0.35004428,0.36958525,0.3862582,0.3940101,0.39776397,0.40224156,0.4061451,0.39844885,0.37678096,0.35048845,0.3381642,0.34725556,0.37001824,0.3924812,0.40833244,0.42358652,0.44347525,0.46749452,0.48644033,0.49663424,0.4981552,0.49485794,0.48430288,0.4637243,0.4343432,0.406127,0.3914013,0.39525393,0.41130123,0.4251014,0.42654252,0.41510606,0.40035248,0.39171568,0.3943313,0.4065677,0.4249632,0.44645938,0.46648622,0.4792731,0.4786413,0.46845308,0.4579556,0.4565306,0.46055195,0.4601616,0.44780812,0.4275185,0.40995887,0.40195647,0.39985624,0.39114642,0.36848065,0.33774355,0.31808028,0.32483947,0.3586456,0.40573668,0.45197463,0.49257722,0.5268722,0.5511053,0.5548062,0.5340099,0.4953362,0.45536605,0.4257243,0.4085138,0.3981124,0.3897904,0.38275245,0.37430438,0.35783228,0.32443222,0.27711317,0.23165531,0.21126218,0.2248673,0.26116484,0.29568234,0.31404948,0.3234757,0.33973303,0.36824778,0.39325938,0.39986208,0.38590372,0.36765632,0.3579146,0.36066517,0.37027645,0.3824478,0.39431664,0.40106472,0.39551115,0.37189892,0.33493957,0.29790035,0.27886966,0.28644088,0.31667423,0.35384706,0.38535655,0.40912235,0.42892107,0.44388008,0.44364238,0.42476344,0.39624262,0.37777856,0.37847456,0.39310554,0.4080384,0.41513968,0.4155679,0.41295317,0.40946153,0.40315223,0.3952594,0.38818634,0.3858366,0.38534907,0.38001406,0.362767,0.33696806,0.31870845,0.32611373,0.3650602,0.4188774,0.46473932,0.4864317,0.48611128,0.47051504,0.44632065,0.41691592,0.38919023,0.3710383,0.36304298,0.35624957,0.33669552,0.30246627,0.26623088,0.25237918,0.27472422,0.32820156,0.38811252,0.4320357,0.4533012,0.46006572,0.4602864,0.45077196,0.42785165,0.395259,0.36858562,0.35867706,0.36546123,0.37736258,0.3832836,0.37911463,0.36507395,0.34178078,0.3068948,0.2648303,0.22763301,0.21400142,0.23129348,0.2693875,0.30385467,0.318109,0.31789765,0.32319453,0.34700727,0.378463,0.39876756,0.39799497,0.38679346,0.3790208,0.38090077,0.38666913,0.38975152,0.38809356,0.38290036,0.3742071,0.36045685,0.34452736,0.3349936,0.34213665,0.36782637,0.40246192,0.43163553,0.4472954,0.45469472,0.4628563,0.47576758,0.48492303,0.48369026,0.4730557,0.4658314,0.47048452,0.48686573,0.50507313,0.51668096,0.5176729,0.5068976,0.48202643,0.44005516,0.3850223,0.3305261,0.2979031,0.300732,0.336912,0.3870401,0.4317766,0.46345857,0.4866929,0.50568414,0.5159385,0.5121254,0.49548325,0.47610152,0.4609134,0.44938943,0.4364595,0.42078307,0.40694246,0.39686012,0.38532814,0.3605239,0.31962907,0.27407447,0.24801497,0.2579035,0.30305886,0.36354327,0.4183201,0.45663992,0.48087767,0.49560714,0.4998078,0.49181783,0.4745616,0.45805356,0.44838515,0.44443092,0.43933487,0.4288454,0.4142054,0.39598393,0.37157425,0.33408976,0.28543112,0.23710793,0.20984405,0.21448588,0.24584584,0.28181162,0.30417982,0.31204644,0.32012296,0.33942124,0.3626094,0.37450537,0.3676459,0.35154608,0.33871433,0.33537486,0.33927214,0.3471338,0.35702047,0.36330736,0.3571737,0.33059612,0.2906372,0.25742483,0.25499287,0.2891182,0.34380558,0.3925556,0.42094183,0.4360412,0.45296457,0.477167,0.49410734,0.48828974,0.45761564,0.422583,0.40455553,0.41258824,0.43500945,0.45615593,0.4669151,0.46928477,0.46771803,0.46246424,0.45245424,0.4383861,0.42642495,0.41874886,0.411327,0.39488015,0.3693609,0.34982917,0.3561221,0.39423895,0.44603297,0.48683986,0.50276107,0.4999759,0.4890739,0.47519302,0.4565842,0.43469584,0.41773763,0.41259897,0.41692805,0.4182521,0.40816697,0.39045992,0.37911436,0.38286185,0.39675355,0.40774167,0.40820035,0.40344596,0.4023869,0.40578339,0.401857,0.37998667,0.3420013,0.30330583,0.27860117,0.272189,0.27839383,0.29057324,0.30667734,0.32599902,0.34465444,0.35324812,0.3455604,0.3239477,0.30234376,0.29352805,0.3003712,0.31198713,0.3179896,0.31951877,0.3281893,0.35034814,0.3763342,0.38958254,0.38258612,0.36456025,0.35032496,0.34842524,0.3579271,0.3734678,0.39065242,0.40416762,0.40963206,0.40205464,0.38325158,0.35886666,0.34070575,0.33570206,0.34492555,0.35945234,0.37230062,0.38397646,0.4037123,0.43708587,0.477425,0.51011187,0.5240259,0.51999503,0.50569165,0.4884418,0.4713614,0.45542932,0.4433209,0.43767133,0.43975195,0.44458678,0.445727,0.43849134,0.42672423,0.41740513,0.41639224,0.4234393,0.43721977,0.4575933,0.4833738,0.50605804,0.51175743,0.4931425,0.4593308,0.43023613,0.41993514,0.42521772,0.43215168,0.430086,0.4203218,0.41106072,0.40725997,0.40460065,0.39379677,0.3713332,0.3476572,0.3414695,0.3651478,0.41225827,0.46444678,0.50669104,0.5368631,0.5580733,0.5677038,0.5585143,0.5283086,0.4870125,0.4491849,0.42368707,0.4092991,0.40036607,0.39352515,0.3857325,0.37164268,0.34279108,0.2991915,0.25280607,0.22559911,0.23107083,0.26557592,0.30771562,0.338015,0.35233077,0.3628545,0.37953517,0.39812815,0.40521693,0.3954331,0.37757802,0.36578164,0.3666396,0.3778813,0.39345303,0.40906513,0.41994143,0.42137036,0.40967596,0.38960123,0.37272146,0.3732978,0.396256,0.4347582,0.473642,0.5014303,0.51629114,0.523392,0.5258134,0.5199316,0.501023,0.47088897,0.43962884,0.41744196,0.40779483,0.4064034,0.40775537,0.41025865,0.41597638,0.42669356,0.4390285,0.4474306,0.44712624,0.4405713,0.43279853,0.42804024,0.42341188,0.4152558,0.4055508,0.4042922,0.41947642,0.44711605,0.4735655,0.487348,0.4868736,0.4758768,0.45569336,0.4262197,0.39242065,0.36700332,0.36230448,0.38099933,0.41329172,0.44540104,0.46868467,0.48375908,0.49438572,0.50137967,0.50065005,0.4899061,0.47351632,0.46091625,0.45617774,0.45325875,0.44116798,0.41791177,0.393042,0.37960246,0.38047484,0.38830373,0.3932569,0.39162603,0.383361,0.36710814,0.33833313,0.2975643,0.2548092,0.2282428,0.22951786,0.25538895,0.28720057,0.3084122,0.31724298,0.3280338,0.35228714,0.38660285,0.41455087,0.42634985,0.4257376,0.42554426,0.43183124,0.44238782,0.45061877,0.4551429,0.4580016,0.4626396,0.46809384,0.47313556,0.47602943,0.47749797,0.4752595,0.4660089,0.4467298,0.42165196,0.40146205,0.39857006,0.41498625,0.43909732,0.45161355,0.44436446,0.42660794,0.41845167,0.43124437,0.46081015,0.49271798,0.5135785,0.51466376,0.49126664,0.44456506,0.3866348,0.34002137,0.3272072,0.35570076,0.41132513,0.4666356,0.4997343,0.5068175,0.5003785,0.49138105,0.4807618,0.46057948,0.43122864,0.40228698,0.38704166,0.386907,0.39394942,0.39853907,0.39956847,0.40053818,0.40274844,0.4014896,0.393396,0.38309434,0.38290215,0.40164343,0.43635854,0.4734292,0.50084037,0.5167734,0.5284764,0.54068995,0.55016583,0.5491459,0.53672534,0.520168,0.50871855,0.5040342,0.50128055,0.49568093,0.48770428,0.48176882,0.4799557,0.47927162,0.47150132,0.4509394,0.4195858,0.38993335,0.37555668,0.38226104,0.40280828,0.42469832,0.43832055,0.44241726,0.4407777,0.4382436,0.43689954,0.43572006,0.43185112,0.42309275,0.4095864,0.39320192,0.37623563,0.3603132,0.34626746,0.33335483,0.31933835,0.3023349,0.2841899,0.2706001,0.26687086,0.27329814,0.2866318,0.30555633,0.33279452,0.36646393,0.39574206,0.40367225,0.38576615,0.3520156,0.32151166,0.30306423,0.29559198,0.2929387,0.29401484,0.29872215,0.30323794,0.2980878,0.27771,0.24777983,0.22549514,0.22560728,0.24864079,0.2771032,0.29231393,0.28989232,0.28699085,0.29987332,0.3288159,0.35229504,0.35477778,0.33640385,0.31453037,0.30037737,0.29630625,0.29738966,0.3034511,0.3166491,0.33748254,0.35918298,0.37264463,0.3729627,0.36444744,0.35560283,0.3520751,0.352641,0.35513568,0.36121118,0.37718692,0.401875,0.42483032,0.42907688,0.41098145,0.37995517,0.3536682,0.33902323,0.33357188,0.3304386,0.3282932,0.32827207,0.3285248,0.32195488,0.3026872,0.2744083,0.25089672,0.24551697,0.2592788,0.27758446,0.28531885,0.28061852,0.28093502,0.30044758,0.33710325,0.3670732,0.3735776,0.35621348,0.33369943,0.31938365,0.31687546,0.3204032,0.32682958,0.33566067,0.34495363,0.3486663,0.34031078,0.3215895,0.30256736,0.2954831,0.30425802,0.32418856,0.34937993,0.37910756,0.41587493,0.4564496,0.4904821,0.5053904,0.49622,0.46849215,0.43540916,0.41009048,0.39771795,0.39280835,0.38303876,0.3579699,0.31520855,0.26087555,0.20679681,0.16635159,0.15228228,0.17116958,0.22009273,0.28383157,0.34324542,0.38366815,0.40384126,0.4104042,0.4123696,0.41316745,0.41360125,0.41211164,0.4079318,0.4000084,0.3909068,0.38538942,0.3882154,0.3957648,0.39824614,0.38416252,0.35096207,0.30593976,0.26431605,0.24168134,0.24471228,0.26727915,0.29163876,0.3022832,0.29259908,0.26844344,0.23915078,0.2129695,0.19302958,0.17918189,0.16940778,0.16143318,0.15352704,0.14494108,0.13621618,0.12831761,0.121395886,0.11436961,0.10652882,0.09937004,0.09665235,0.10102179,0.110855006,0.11949134,0.120677166,0.11374119,0.10614743,0.106800616,0.11965486,0.13979422,0.15958421,0.17397065,0.18328281,0.18913202,0.19164054,0.1895823,0.18205343,0.16920139,0.15101169,0.12893428,0.10892678,0.103184946,0.12505274,0.17754622,0.24647398,0.30493104,0.3328347,0.33108616,0.32076982,0.32249284,0.3392274,0.35579643,0.3545002,0.3298324,0.28939214,0.24719262,0.21634527,0.20643109,0.2203693,0.25222436,0.28949356,0.32030666,0.33880854,0.344015,0.33495477,0.31173837,0.27927276,0.25007388,0.23528361,0.23836064,0.2531583,0.27397233,0.29783544,0.32261088,0.3415586,0.34830704,0.34262097,0.33112535,0.31973323,0.30827588,0.2914999,0.26467842,0.2271704,0.1834069,0.14176767,0.11359301,0.109951474,0.1353662,0.18337607,0.23769136,0.2825425,0.30967712,0.31973824,0.31572512,0.3003854,0.27667627,0.24982357,0.22567905,0.20827878,0.19817995,0.19352873,0.1912698,0.18866159,0.1837976,0.17576051,0.16461743,0.1514738,0.13989727,0.13554828,0.14362343,0.16260119,0.18247174,0.19013323,0.18072276,0.16250265,0.15019895,0.15292002,0.16787237,0.18587041,0.19916606,0.20601787,0.20743687,0.20467025,0.19808024,0.18873203,0.17764215,0.16438071,0.14700527,0.12528017,0.105089754,0.09912553,0.121639885,0.17766254,0.2547568,0.32621518,0.366745,0.37158617,0.35722747,0.34758613,0.35107687,0.36075988,0.3641126,0.3597355,0.35331485,0.34944138,0.34523523,0.33664778,0.32529035,0.31633914,0.3114692,0.3045777,0.28936836,0.2667001,0.24677204,0.23930468,0.24716155,0.26561233,0.28913882,0.31384137,0.33578858,0.34968194,0.3508623,0.3389224,0.3165537,0.28731596,0.2536962,0.21879275,0.18767273,0.1673343,0.16551702,0.18676938,0.22918396,0.28059098,0.32373145,0.34306014,0.33395243,0.30266604,0.2637494,0.23440276,0.22796445,0.24893343,0.28735137,0.32552913,0.34404555,0.33529925,0.3027096,0.26018357,0.22011785,0.18995123,0.16913895,0.1549608,0.14458601,0.13666384,0.12951508,0.122096516,0.115190275,0.11225664,0.116503485,0.12701958,0.13724001,0.13953167,0.1319183,0.12130236,0.11785451,0.12692769,0.14462507,0.16261752,0.17470205,0.18011153,0.18084083,0.17841154,0.17323093,0.16529305,0.1545767,0.1401866,0.1217171,0.10202956,0.09034228,0.09990206,0.14030181,0.20800066,0.2845664,0.345659,0.3748947,0.37235555,0.35044444,0.32446542,0.30302808,0.28941348,0.28380263,0.28700483,0.29719618,0.31035802,0.3213977,0.32642815,0.32172394,0.3031087,0.2686601,0.22225791,0.17455345,0.13863808,0.124173224,0.13098156,0.14940213,0.1663241,0.17698945,0.18846168,0.21134503,0.24600792,0.27952766,0.2988298,0.30435064,0.30882248,0.3227035,0.34204635,0.3543918,0.35027695,0.33307746,0.31248894,0.29643914,0.28351656,0.26779622,0.24606556,0.22355096,0.2089904,0.2076797,0.21768679,0.23438792,0.25315014,0.26919928,0.27614835,0.269039,0.24901563,0.2227245,0.1984362,0.18051977,0.16936155,0.162636,0.15808433,0.15390097,0.14836,0.13961603,0.12684143,0.11225003,0.10073022,0.097087346,0.10177978,0.11020568,0.11602396,0.11698205,0.11739012,0.12478217,0.14301093,0.16805707,0.19085138,0.2042741,0.208448,0.20964383,0.21520813,0.22826765,0.24610269,0.2623234,0.26902473,0.26020196,0.2327574,0.19329618,0.15718047,0.1437735,0.15905213,0.19119292,0.22033234,0.24073726,0.2674187,0.31666318,0.3848183,0.44374576,0.47046193,0.4644736,0.4483676,0.44056645,0.4443853,0.4519979,0.45799354,0.46457848,0.47412238,0.48665416,0.4968288,0.5027321,0.50469065,0.50724316,0.5110092,0.51287866,0.5077204,0.49618694,0.488337,0.4934423,0.5102208,0.5208416,0.51150453,0.48385635,0.457834,0.4478251,0.45260343,0.4589095,0.4589974,0.4566213,0.45799908,0.4624249,0.46072996,0.44719216,0.42490426,0.40631118,0.40230587,0.41651115,0.4437423,0.4762075,0.50920755,0.5363045,0.5483165,0.5328643,0.4931563,0.44542968,0.41198727,0.3962916,0.38765934,0.37273738,0.3526865,0.3376776,0.33132648,0.32347417,0.29604393,0.24569766,0.18887977,0.15645815,0.16549373,0.20858379,0.25758278,0.2906128,0.30905303,0.3298855,0.3639429,0.39831236,0.41351345,0.40005806,0.3712953,0.3447694,0.33133516,0.32964018,0.33571342,0.34758493,0.3613778,0.36957982,0.36116692,0.33481932,0.29893845,0.26929227,0.25283393,0.2478319,0.24941933,0.26294646,0.30086863,0.36770174,0.44704127,0.507598,0.5280079,0.510733,0.47741893,0.44749174,0.42944303,0.42324778,0.4271245,0.43815723,0.44721994,0.4427891,0.41451466,0.3670542,0.31864464,0.29675472,0.31465593,0.36226836,0.41157958,0.44210503,0.45673373,0.47158754,0.49681917,0.5227149,0.5348821,0.5247204,0.49899116,0.46829808,0.4440447,0.43134984,0.43098557,0.43914244,0.44986832,0.45667064,0.45182633,0.4329469,0.40433833,0.37714854,0.3570063,0.34283218,0.33324838,0.3360058,0.36303625,0.4125409,0.46404162,0.4876224,0.47072193,0.42367277,0.37292317,0.33701822,0.31981704,0.31400374,0.31353346,0.31732735,0.3219975,0.3178536,0.29058173,0.23913799,0.18036135,0.14563303,0.15345526,0.19797073,0.24929063,0.28315046,0.2984811,0.315214,0.34843123,0.3905629,0.42219615,0.43051282,0.42178914,0.40825057,0.3990967,0.3959084,0.3988086,0.408018,0.4200066,0.42777333,0.42301217,0.40744054,0.39103976,0.38663372,0.39482152,0.4040139,0.4014063,0.3882457,0.3825564,0.3998028,0.4369373,0.4688702,0.47460818,0.45368588,0.4267626,0.4125013,0.41525233,0.4280906,0.44375268,0.45965508,0.4717811,0.4736433,0.4569105,0.42373407,0.38782892,0.37030396,0.38090193,0.41065666,0.43950042,0.4546157,0.46136522,0.47071478,0.48540282,0.49139586,0.4762216,0.44082615,0.40470538,0.38680696,0.39329872,0.41319537,0.43143043,0.44083545,0.44344616,0.44332075,0.43575516,0.4141442,0.37452373,0.32552674,0.27873063,0.24819843,0.2432232,0.2701168,0.32608005,0.39636675,0.45712593,0.4847585,0.47150552,0.42861453,0.3795791,0.34233293,0.3213271,0.31164232,0.30871293,0.31255987,0.319584,0.3191544,0.29548907,0.24585426,0.1854652,0.14449425,0.14291322,0.17908855,0.2284772,0.26809856,0.29306266,0.31803766,0.35526708,0.39847144,0.42892918,0.43534935,0.42431188,0.40993735,0.4004518,0.39598796,0.39498723,0.3984811,0.4040052,0.40418592,0.38851866,0.3557273,0.3138537,0.27716953,0.2532239,0.24185862,0.23838298,0.24298273,0.26272324,0.30336913,0.35914811,0.40973142,0.43542194,0.4312116,0.40943405,0.38542613,0.36599135,0.35107777,0.34175107,0.34478045,0.3619634,0.3847175,0.3941802,0.38288596,0.36105487,0.3534514,0.37223223,0.4102764,0.4468062,0.47010556,0.48390642,0.49878278,0.5159164,0.5220114,0.5033283,0.46150288,0.41630483,0.38777968,0.37933,0.3784369,0.37349203,0.3675926,0.37085232,0.38652682,0.40145257,0.4007592,0.37786472,0.34349132,0.31312183,0.3025576,0.31704834,0.3545581,0.4050617,0.45707536,0.49664202,0.51011235,0.48976013,0.44201693,0.38595012,0.3409964,0.31500873,0.30458114,0.30317435,0.3082722,0.31707743,0.32275972,0.31331265,0.28480202,0.24697615,0.2228641,0.22865207,0.26264104,0.30366603,0.3322008,0.34548774,0.358068,0.38179186,0.41144145,0.4298428,0.42601752,0.40456736,0.3780794,0.3548849,0.3366154,0.3237585,0.32009634,0.32692277,0.3380649,0.3396709,0.3233262,0.29261205,0.2629318,0.24698538,0.24726307,0.25600314,0.26646277,0.28041258,0.30582646,0.34525573,0.3888272,0.41999364,0.43033513,0.4245546,0.41524246,0.41095817,0.4136407,0.41934526,0.4226255,0.41963378,0.4122655,0.4077902,0.41375825,0.4309169,0.45280734,0.4704622,0.4784896,0.47648036,0.46555892,0.44591203,0.4158536,0.37644994,0.33277568,0.29314196,0.26342177,0.24457394,0.23333935,0.22567578,0.21886837,0.21170783,0.20398796,0.19603163,0.18850063,0.18188687,0.17636393,0.1718872,0.16855784,0.166352,0.16476612,0.16281097,0.1600755,0.15738675,0.15643431,0.15767701,0.15939373,0.15829192,0.15249838,0.142776,0.1320509,0.122753195,0.11571742,0.11035875,0.10582293,0.10155263,0.09722366,0.0927924,0.08833897,0.08414182,0.08034105,0.0769788,0.07389467,0.07101647,0.06971667,0.07427244,0.092591114,0.1308542,0.18761165,0.24899586,0.29521516,0.31084922,0.2956017,0.2656508,0.24433182,0.24758749,0.27184942,0.29761744,0.3030049,0.27983892,0.23670977,0.19283755,0.165955,0.1657223,0.18947916,0.22766836,0.26940718,0.3109407,0.35249963,0.39195558,0.42042395,0.42783737,0.41447845,0.39037502,0.36955592,0.3576858,0.35477743,0.35897312,0.37250134,0.3958871,0.4210223,0.4316983,0.41463673,0.37334195,0.32502413,0.28855017,0.26988712,0.26536205,0.27013266,0.28575432,0.31510007,0.35222363,0.38074458,0.38280168,0.35611996,0.31444648,0.27814895,0.25717962,0.25107217,0.2557123,0.27159896,0.30000493,0.33329174,0.3542644,0.34585795,0.3088968,0.26097876,0.22531319,0.21145976,0.2153945,0.22830325,0.24807334,0.2777444,0.31296194,0.33816624,0.33379042,0.29910675,0.25430325,0.22891901,0.23519726,0.26381856,0.29580808,0.32199407,0.34755945,0.37718478,0.40481314,0.41386473,0.39918968,0.37266508,0.3571556,0.3635285,0.38573945,0.41003963,0.4296018,0.4483993,0.46806812,0.48196384,0.47633886,0.4499061,0.41710463,0.3998601,0.40625465,0.42587698,0.44282648,0.45107877,0.4593351,0.47506464,0.49529123,0.5054833,0.49834478,0.48174596,0.47403237,0.48514605,0.5079865,0.5284105,0.5402982,0.55249375,0.57388276,0.60288787,0.6243548,0.62690336,0.6089976,0.57942086,0.5447387,0.50897247,0.47571746,0.45335373,0.45018983,0.46739057,0.49506474,0.518308,0.52746964,0.5226379,0.5097195,0.49334946,0.4769727,0.466398,0.4702386,0.49277487,0.52495056,0.5490682,0.5500805,0.531475,0.50821954,0.4955372,0.4931203,0.4916744,0.48260024,0.46864405,0.45896682,0.4584374,0.45933983,0.4475454,0.4175448,0.3828272,0.36696777,0.38580307,0.43406472,0.4940497,0.54961044,0.5962952,0.63206315,0.65024227,0.6395996,0.5988191,0.54108447,0.4878384,0.45271945,0.436723,0.4327438,0.43429133,0.436051,0.42947137,0.40334818,0.35205457,0.2868495,0.23309183,0.21539944,0.23827343,0.28238213,0.32156527,0.34381917,0.36096883,0.387604,0.42483988,0.45274487,0.4567716,0.43741417,0.41280198,0.39689526,0.39595568,0.40798512,0.429682,0.45390674,0.4679726,0.45883003,0.42194125,0.36977968,0.32604003,0.31379592,0.3398079,0.39204332,0.44901165,0.49491778,0.5274622,0.5485523,0.5570962,0.545477,0.51567405,0.48041144,0.4602202,0.46410775,0.487218,0.5150704,0.5358525,0.54634905,0.5483864,0.5457745,0.5387332,0.5287149,0.5181007,0.5102865,0.502689,0.4849309,0.44950113,0.4034119,0.3745875,0.3874067,0.44454393,0.51626045,0.5710528,0.5927744,0.5903255,0.57557756,0.55618817,0.5338299,0.51217216,0.49545193,0.48085764,0.4589909,0.4202223,0.37039876,0.33039308,0.32513577,0.36178207,0.42249116,0.47832647,0.510231,0.5234421,0.5294823,0.53420705,0.52533716,0.4973873,0.4543712,0.41531992,0.39055893,0.38284537,0.38658533,0.39827454,0.41261688,0.41836938,0.40087426,0.35211197,0.2846781,0.22768794,0.21178448,0.24485902,0.30648425,0.36300194,0.3945053,0.41083837,0.4336655,0.4743549,0.5160592,0.5383461,0.5321064,0.51205057,0.49407336,0.4869877,0.4878237,0.49283588,0.50102544,0.51126623,0.5200898,0.5209329,0.51267344,0.5003689,0.49372265,0.4969132,0.5058618,0.5132847,0.51681787,0.5237132,0.53870106,0.5589834,0.56949574,0.5629552,0.54202956,0.52202386,0.51114744,0.5103602,0.51427037,0.52212507,0.53472406,0.54736775,0.5454454,0.51372474,0.4521651,0.3823783,0.33602795,0.3333151,0.36989534,0.42422235,0.47600052,0.5203145,0.5585666,0.5884354,0.5970557,0.58000994,0.5450763,0.5115193,0.48899922,0.47606885,0.46469557,0.4526155,0.44389006,0.4390802,0.42973217,0.40088758,0.35079488,0.2978787,0.2744074,0.29918405,0.36424506,0.44154987,0.5064742,0.55354905,0.58730865,0.6112415,0.6175843,0.60459083,0.57754725,0.5520682,0.5350637,0.5266776,0.52047074,0.51288915,0.50127846,0.47924674,0.43802473,0.37155756,0.29117802,0.22225815,0.19520468,0.22003913,0.28004742,0.34033462,0.3761843,0.39118853,0.40562937,0.43378237,0.4641379,0.48093668,0.47704458,0.46597156,0.4590213,0.46151385,0.46966383,0.4809202,0.4924759,0.49731138,0.48663196,0.45485678,0.4113663,0.37568536,0.36929098,0.39689124,0.4442829,0.4884123,0.5168603,0.5355907,0.5539048,0.5696935,0.5646401,0.5285932,0.47106972,0.4213537,0.40181205,0.4159353,0.4483091,0.48152885,0.50729364,0.5254461,0.5379717,0.5417804,0.5350084,0.51940155,0.50353,0.49240503,0.4836285,0.47022375,0.45257077,0.44619796,0.46753764,0.51999193,0.58074945,0.62365127,0.6323319,0.61441904,0.58340913,0.55123657,0.52218187,0.5003998,0.4922811,0.49995896,0.5174449,0.5299688,0.5291844,0.51795465,0.5092754,0.51048017,0.5183765,0.5247395,0.5262196,0.5298998,0.5391735,0.55104965,0.5500322,0.53105336,0.49788272,0.46693906,0.44569287,0.43495452,0.42953622,0.42912826,0.4364073,0.44963077,0.45916763,0.44959497,0.4163001,0.37075058,0.3388944,0.33777192,0.36340246,0.39266407,0.40701914,0.40996763,0.41814825,0.4423153,0.4700518,0.48477075,0.4777247,0.46057054,0.44669333,0.44618142,0.45840505,0.47935262,0.5017607,0.5178322,0.5213142,0.5096202,0.48814043,0.4674541,0.46088144,0.47268823,0.49632868,0.51772195,0.53027517,0.54080147,0.5614825,0.5967412,0.6348625,0.66092616,0.66364497,0.6446295,0.6086208,0.56437236,0.519672,0.48468122,0.46847785,0.47442684,0.4968604,0.5211098,0.53531927,0.53575706,0.52839726,0.517886,0.5050183,0.49123517,0.48417178,0.49571946,0.52496463,0.5573364,0.56889766,0.5540357,0.5238442,0.5009944,0.49307737,0.4946151,0.49301803,0.48564947,0.47950223,0.48235264,0.4922739,0.49568817,0.4814594,0.45213005,0.4279218,0.42971954,0.46326995,0.51452374,0.5633793,0.6009812,0.6284232,0.6486812,0.6536049,0.63580227,0.5946377,0.5447515,0.5015548,0.47492263,0.46376643,0.46274987,0.46596253,0.46484038,0.4491941,0.4092679,0.34993586,0.28962415,0.25479966,0.25676236,0.2850427,0.31393376,0.32720497,0.3332636,0.35183632,0.3927083,0.43839037,0.46734098,0.46902087,0.4566318,0.44506678,0.4434147,0.4496145,0.46105707,0.47650397,0.49360275,0.50701207,0.50926083,0.5005422,0.4888877,0.48795065,0.50404245,0.5337415,0.5665197,0.5942405,0.6156598,0.6311209,0.63877845,0.63109094,0.606509,0.5714781,0.5408747,0.5229762,0.51545495,0.50878865,0.49887225,0.4931521,0.5012191,0.5248385,0.5499924,0.56186,0.55286956,0.53203773,0.509242,0.48963368,0.4675511,0.44193354,0.42325532,0.4292873,0.46784195,0.5240329,0.57331103,0.59620404,0.5926649,0.57153577,0.54405475,0.5171401,0.49637213,0.48757327,0.49228406,0.50706106,0.5207488,0.5258508,0.5203559,0.5110335,0.50218976,0.49324903,0.47986022,0.46265793,0.45101675,0.45228246,0.4628727,0.46372283,0.4415636,0.39909306,0.35746273,0.33362928,0.33112457,0.34109107,0.35489702,0.36913344,0.37825313,0.37312332,0.34271374,0.29185095,0.24015044,0.21664089,0.23461282,0.28527606,0.34023288,0.37633288,0.3916868,0.40376365,0.42756656,0.4570297,0.4740379,0.46725497,0.445074,0.42298236,0.41037336,0.40685484,0.41059732,0.42553607,0.45588878,0.5005658,0.547059,0.5818186,0.5957885,0.59075385,0.5705831,0.53906363,0.5003483,0.4664438,0.45582363,0.4794805,0.5281312,0.5711677,0.58082867,0.5518084,0.50787693,0.4788896,0.4794987,0.500155,0.51998276,0.5235657,0.5059076,0.47020054,0.42072573,0.36843905,0.32990596,0.3246905,0.35885784,0.41907752,0.4781538,0.514533,0.52647734,0.52561986,0.5211988,0.507299,0.47555494,0.4273305,0.3786182,0.34417248,0.32838055,0.32671005,0.33455765,0.35104647,0.37121108,0.38520935,0.3804585,0.35768116,0.33087906,0.3218359,0.3399167,0.37786317,0.4181992,0.45037505,0.47757164,0.50703233,0.5376556,0.55545056,0.549632,0.5229632,0.49307346,0.4755694,0.47539362,0.48587283,0.49801278,0.5058306,0.50790125,0.50448906,0.49445102,0.47457775,0.44354585,0.40668333,0.37571028,0.36078838,0.36286867,0.3739415,0.3852822,0.3943859,0.4042612,0.41795537,0.4344153,0.4492739,0.45771873,0.45736346,0.4485785,0.43345997,0.4136264,0.38950124,0.36119047,0.32956827,0.29629275,0.26223955,0.22852202,0.19807617,0.17684557,0.16872807,0.17154145,0.17690754,0.17974436,0.1830286,0.19570488,0.22104405,0.25331348,0.28198662,0.3011715,0.3114017,0.3161025,0.31735587,0.31540406,0.31030583,0.3024772,0.2925225,0.28073192,0.2677862,0.25483236,0.24334385,0.23396099,0.22639763,0.21978718,0.2140045,0.21025819,0.21042968,0.21530288,0.22281992,0.22898376,0.23007666,0.22536147,0.2167484,0.20715709,0.1982397,0.18996765,0.18118347,0.17071019,0.15806548,0.14395814,0.13212948,0.13052149,0.15108325,0.20122938,0.2769955,0.35979906,0.429873,0.47691298,0.5053821,0.5237222,0.536725,0.54316926,0.54120106,0.5318025,0.5191849,0.50844294,0.50291234,0.5022154,0.5033865,0.5030391,0.49835107,0.48525187,0.45846188,0.41715193,0.3706639,0.33617043,0.32600483,0.3376808,0.35735714,0.3732085,0.3845266,0.39750406,0.41553104,0.4344151,0.44610164,0.44517958,0.43120238,0.40765056,0.3786955,0.3484733,0.32034454,0.2964982,0.27593195,0.25473243,0.2293964,0.20213479,0.18148334,0.17638837,0.18721098,0.20344014,0.21123533,0.20520754,0.19310278,0.18810205,0.19711924,0.21479867,0.23001198,0.23455948,0.22868459,0.21746926,0.20633642,0.1975563,0.1908434,0.18480694,0.17836188,0.17133279,0.16423196,0.15778656,0.15251298,0.14849521,0.14538647,0.14249605,0.13984324,0.13915972,0.14365788,0.15470989,0.1689068,0.17876653,0.17890923,0.17110217,0.1629364,0.16055425,0.16328119,0.16651638,0.16878349,0.17537713,0.1923579,0.2184792,0.24321659,0.2557039,0.25443667,0.24764758,0.24363434,0.2417352,0.2353098,0.22077274,0.20355415,0.19140713,0.1865326,0.18303633,0.1749022,0.16184123,0.14936297,0.14209475,0.13988201,0.13859384,0.13425569,0.12573864,0.11445259,0.1026889,0.09252247,0.085961044,0.085584335,0.09326908,0.10838858,0.1260524,0.139978,0.14638151,0.14733218,0.14763777,0.15047288,0.15397711,0.1542296,0.1487162,0.1386736,0.12687416,0.115635686,0.1056785,0.096967794,0.08931307,0.08255098,0.07650495,0.07099497,0.065968394,0.061396543,0.057209194,0.053271253,0.049484063,0.045830768,0.042329997,0.039015394,0.03593014,0.03316492,0.030811427,0.02893579,0.027565287,0.026692955,0.026275026,0.026185006,0.02625432,0.026300577,0.026217466,0.025956502,0.025522254,0.02492517,0.024182409,0.023318091,0.022359088,0.021353858,0.02036445,0.019442039,0.018512994,0.017350243,0.015686808,0.013481687,0.011005322,0.008672624,0.0067210956,0.0051401695,0.0038110502,0.0027070139,0.0018739126,0.0013321844,0.0010138928,0.0008157205,0.0006607515,0.00051836413,0.00038854344,0.0002802138,0.00019969729,0.0001463712,0.00011441303,9.643725E-05,8.610636E-05,7.9287835E-05,7.3898664E-05,6.926558E-05,6.540526E-05,6.250094E-05,6.0424736E-05,5.866663E-05,5.655629E-05,5.3983906E-05,5.156064E-05,5.0350478E-05]