[0.016220227,0.017542727,0.019402398,0.020420393,0.01961224,0.017834304,0.015263763,0.012597945,0.010008368,0.008358016,0.00772831,0.007955619,0.00851385,0.010325812,0.016474344,0.032310948,0.06190459,0.1042647,0.15289783,0.19777517,0.23030467,0.24131131,0.22712868,0.190808,0.15005462,0.12616123,0.1330822,0.16730742,0.21382219,0.25947893,0.2949772,0.3138511,0.30727994,0.27633175,0.23725998,0.21639447,0.22841239,0.26319876,0.29327676,0.29319856,0.25646386,0.19401278,0.12705673,0.074203596,0.049181174,0.056220997,0.09065709,0.13604432,0.17327602,0.1934262,0.2080233,0.2376438,0.29143643,0.35215807,0.3888637,0.3766475,0.31599316,0.22663498,0.13761707,0.0692467,0.032045636,0.025944928,0.049288858,0.09477041,0.15343003,0.2105499,0.25816151,0.29022196,0.30584893,0.29888675,0.2677894,0.22123069,0.18409173,0.1807081,0.21712565,0.2717279,0.31491953,0.33116356,0.33149657,0.33577967,0.35158464,0.3634695,0.3487446,0.29790163,0.22848445,0.17169191,0.15412657,0.17513992,0.21607512,0.25172994,0.27453983,0.28498256,0.28877023,0.28493798,0.2794279,0.28205204,0.29920042,0.3216156,0.33203143,0.32239175,0.29828408,0.267174,0.22997554,0.18613887,0.1442653,0.11763088,0.11414096,0.13328354,0.16905825,0.21407233,0.252924,0.26913378,0.25470492,0.22397941,0.20521466,0.22054674,0.26893398,0.325119,0.36064765,0.3616767,0.34010157,0.3182589,0.31140518,0.31512487,0.3137988,0.29627237,0.26405698,0.23104711,0.21075857,0.21140559,0.22607058,0.24294555,0.24516948,0.22632724,0.18408446,0.12956135,0.074976005,0.036605276,0.022499023,0.038520318,0.082152136,0.14559485,0.21053727,0.25739205,0.2710788,0.25039586,0.20710115,0.16287103,0.13893412,0.14428066,0.17120759,0.20297396,0.2295113,0.25119987,0.26774862,0.2688357,0.24073593,0.1889862,0.14139779,0.13052385,0.16559017,0.22499478,0.27584475,0.2939869,0.2825756,0.26175964,0.25782597,0.27909607,0.31359556,0.33791137,0.33726016,0.31174022,0.27133596,0.2281611,0.19767006,0.19293578,0.21965694,0.26579192,0.31257334,0.3391365,0.33523592,0.29865465,0.24296533,0.18774575,0.15314144,0.14454263,0.16019155,0.18931277,0.2245545,0.2533634,0.27332878,0.28324786,0.29258463,0.30329168,0.3191438,0.3366207,0.35303548,0.35746464,0.34190127,0.30847326,0.27525267,0.2634538,0.2766937,0.2967446,0.29523596,0.26251876,0.21602188,0.18678598,0.18903945,0.21071537,0.2300014,0.24091059,0.25172675,0.27196634,0.29564187,0.31413636,0.31893992,0.31040704,0.28827536,0.26015255,0.23480445,0.22124922,0.21656667,0.21653843,0.22034033,0.23403294,0.25650594,0.2759094,0.2797854,0.2684237,0.25805834,0.26329935,0.2834507,0.30139327,0.29929057,0.27609026,0.2447085,0.22389263,0.21857645,0.22135688,0.21368124,0.18535042,0.14022213,0.09854755,0.07749408,0.08388886,0.10984087,0.14928722,0.19391541,0.23660274,0.26226553,0.26390296,0.245595,0.22429268,0.21686356,0.2299364,0.2594792,0.28979287,0.30428436,0.2902268,0.25132856,0.20338386,0.16885625,0.16067828,0.17889439,0.20804687,0.2288611,0.22772378,0.20761268,0.18611403,0.18067835,0.19757223,0.22566104,0.25067177,0.25924087,0.24670815,0.21293925,0.16793151,0.12819679,0.11221254,0.12703682,0.16607584,0.21173684,0.2491752,0.27075383,0.27582815,0.2664865,0.24778782,0.2302193,0.2209727,0.2191013,0.21616079,0.20837414,0.1965731,0.1794398,0.15132646,0.11287371,0.07733835,0.06407864,0.08176001,0.12362812,0.17164885,0.21102671,0.23645604,0.24880755,0.2509488,0.24389128,0.23807056,0.24220698,0.2596638,0.27440456,0.27509904,0.26286885,0.2551987,0.25894973,0.2665334,0.26303396,0.24723028,0.2287997,0.21957879,0.21794508,0.2148331,0.2004242,0.17864513,0.16166215,0.16208081,0.17926615,0.2021585,0.21682738,0.21855442,0.21061338,0.20113508,0.19205762,0.18383722,0.17608602,0.17594229,0.1876024,0.20982166,0.2334098,0.2512026,0.25988528,0.25702676,0.24063297,0.21340042,0.18883313,0.18130405,0.19996066,0.23903002,0.2877557,0.32806125,0.34584427,0.33308914,0.30060503,0.27237248,0.27096084,0.30025804,0.342549,0.3737717,0.37887526,0.35733047,0.3183914,0.27438143,0.2425108,0.23737144,0.26631668,0.3129364,0.35056388,0.35184744,0.31697592,0.26319888,0.21704312,0.189017,0.176165,0.16977029,0.16539244,0.167189,0.17989047,0.21050435,0.2566576,0.30478624,0.32786927,0.30533624,0.24139588,0.16527167,0.111107774,0.09259283,0.10307225,0.12753934,0.16070598,0.20009047,0.23679547,0.25004274,0.22643472,0.17566244,0.12845881,0.11523408,0.14331092,0.20107354,0.26537272,0.32515946,0.36958683,0.39444792,0.38475868,0.33911633,0.26679444,0.19974005,0.16893436,0.18933372,0.24401341,0.2933105,0.30580223,0.28229976,0.25734612,0.26574644,0.3142481,0.37391815,0.40470457,0.38465676,0.32912543,0.2776264,0.26903138,0.31228092,0.38778892,0.45572653,0.4807626,0.443042,0.3528607,0.24349874,0.15659745,0.11729613,0.1248247,0.15962677,0.20136832,0.24254031,0.28366834,0.32174316,0.3425814,0.3318371,0.28995174,0.23568963,0.19677393,0.19122316,0.21885557,0.26108494,0.29343447,0.29940754,0.275074,0.23158883,0.18904947,0.17521574,0.2084502,0.2870699,0.38127598,0.45240405,0.47092164,0.4346739,0.36505952,0.29978827,0.27274743,0.29781228,0.3596079,0.42648745,0.46953058,0.47617242,0.44859278,0.40064386,0.3547361,0.33282796,0.34497023,0.3755965,0.3987689,0.39100316,0.35913143,0.32261896,0.3061967,0.30802187,0.31748724,0.31918272,0.3175347,0.31827638,0.3239071,0.32236776,0.30687132,0.28223598,0.26329675,0.26114023,0.27411833,0.2931233,0.30120885,0.28882146,0.2571521,0.23182474,0.24069762,0.2986723,0.38708976,0.47337237,0.529577,0.5482378,0.5337737,0.49054143,0.42538688,0.35440335,0.30875167,0.31201008,0.36306664,0.42854306,0.4706309,0.46665087,0.4213803,0.35233355,0.28506234,0.2401392,0.23187149,0.25717512,0.3030267,0.34934685,0.378726,0.3768618,0.33958665,0.2783858,0.21875477,0.18852292,0.1985995,0.2375627,0.27806282,0.3011516,0.30826077,0.31569228,0.33096668,0.33888817,0.31836173,0.26335433,0.19957338,0.16104746,0.17546614,0.23978114,0.33242676,0.41752717,0.4723604,0.48596942,0.46410754,0.41542593,0.36065912,0.32319033,0.32202062,0.34865323,0.37342858,0.36413607,0.31246647,0.24051465,0.18144412,0.1603962,0.17681344,0.2168845,0.25774255,0.2858124,0.29511735,0.29810473,0.3066733,0.32705104,0.344146,0.34501418,0.32423875,0.29930797,0.2887337,0.30707958,0.3445927,0.3799069,0.38579252,0.35271934,0.28778198,0.21279342,0.15063718,0.11862991,0.12347946,0.16010612,0.2156477,0.2735238,0.31669006,0.33150518,0.31440365,0.280847,0.2573618,0.26741573,0.31052694,0.36766446,0.40868533,0.41464126,0.38197148,0.32976595,0.28016713,0.24583644,0.2172805,0.18540245,0.15368867,0.14056785,0.1563832,0.19445212,0.24175481,0.2880079,0.32900667,0.35190216,0.34757212,0.3188639,0.2931699,0.2944868,0.3284922,0.37204483,0.40321088,0.40885243,0.39648303,0.37667438,0.36555883,0.36851266,0.3818573,0.3890374,0.3770788,0.34399414,0.30348048,0.2772394,0.28286764,0.31992748,0.36731207,0.3965486,0.39545342,0.37454763,0.3583275,0.35977015,0.3765143,0.39384532,0.40569237,0.41242132,0.4183489,0.41547513,0.39125994,0.33620432,0.26104778,0.19218397,0.16265778,0.19011176,0.26762196,0.36411276,0.44418994,0.4843261,0.48018727,0.4418123,0.39083755,0.35584104,0.3591065,0.39894366,0.44560385,0.4621869,0.43240407,0.37227353,0.31559694,0.28630924,0.2865717,0.2991362,0.3095124,0.31145835,0.30953956,0.30491808,0.2965016,0.2833449,0.27425107,0.27987072,0.30335835,0.3320659,0.35082638,0.35415637,0.34710646,0.33419907,0.3111328,0.2775102,0.2420919,0.22317713,0.23205382,0.26661965,0.3129153,0.34871033,0.35515133,0.3220412,0.2589559,0.18582396,0.12562847,0.093798615,0.10023764,0.14225976,0.20153414,0.24788113,0.26763272,0.276121,0.3020847,0.34807447,0.38285708,0.3707622,0.30919203,0.22945976,0.17297034,0.16520013,0.2074761,0.27867973,0.3434068,0.372684,0.35474873,0.30247745,0.23686801,0.18486612,0.17011662,0.20854914,0.29440543,0.39746895,0.48360953,0.53281003,0.55055183,0.5453239,0.5197863,0.46756968,0.3952823,0.32478157,0.28268984,0.27643886,0.29099384,0.3009108,0.29337218,0.2722074,0.25613737,0.25749326,0.27743483,0.29715863,0.29673567,0.26521492,0.21317603,0.16208531,0.1292205,0.120190464,0.13197607,0.16639923,0.22390644,0.2968188,0.35894075,0.38309145,0.35828316,0.30381694,0.25373867,0.2357121,0.2503125,0.27959988,0.3001175,0.30077076,0.27856225,0.24078076,0.20291461,0.18443185,0.19500588,0.21854442,0.22821426,0.2026686,0.14985606,0.093084,0.06031512,0.06677482,0.11241994,0.18289275,0.25257412,0.30224147,0.3219416,0.3169259,0.29421887,0.2654554,0.24231146,0.23121272,0.23089178,0.23608904,0.25772014,0.30881798,0.392769,0.47959185,0.5344522,0.53550935,0.49200252,0.42513296,0.36109146,0.32183576,0.3194563,0.34312212,0.36776027,0.37568727,0.37789297,0.39678082,0.4415041,0.49101448,0.5104018,0.47523275,0.3887677,0.28388447,0.2043711,0.18034016,0.21097136,0.26726076,0.31563807,0.33159277,0.31488442,0.2819142,0.26556695,0.28971636,0.35720405,0.43927136,0.4996765,0.5155718,0.4922798,0.4509909,0.4109664,0.3760275,0.33862352,0.29371944,0.25089702,0.2253933,0.2250036,0.2418232,0.26911965,0.30923587,0.3688251,0.4389688,0.49459052,0.50825423,0.46881875,0.38369083,0.27489814,0.16860168,0.087032855,0.0391419,0.01989237,0.016899506,0.019484388,0.023263844,0.028332492,0.036455467,0.04925686,0.068763144,0.09355504,0.1179781,0.13033782,0.12512419,0.104364835,0.08052305,0.06281154,0.056300577,0.06102247,0.07652211,0.102584876,0.13226323,0.15634452,0.16229771,0.1500479,0.12535053,0.10041029,0.07951449,0.066251986,0.06433014,0.08082255,0.11358423,0.14914243,0.1674919,0.1613496,0.13773987,0.113285564,0.09593209,0.08851424,0.091306515,0.11167419,0.14913069,0.19221981,0.21690847,0.21183348,0.18369962,0.15474673,0.14025275,0.14043061,0.14525117,0.14371027,0.13608666,0.12827162,0.13297717,0.15172975,0.17910247,0.19817324,0.20488133,0.20853645,0.2322372,0.28206065,0.3382535,0.3654308,0.3469983,0.29926145,0.25323004,0.22552669,0.20947208,0.19273786,0.17310439,0.15796115,0.1539713,0.16396867,0.1907509,0.2369773,0.2999594,0.36886525,0.4282116,0.4649502,0.46918344,0.44140688,0.39335176,0.35278273,0.33958873,0.3569075,0.3798685,0.38974664,0.37514278,0.34717193,0.31008026,0.27875844,0.26056537,0.2665315,0.28497776,0.29936647,0.29342917,0.27286333,0.25758612,0.2691867,0.3125802,0.36455265,0.39390972,0.38244724,0.35376874,0.34185824,0.36997986,0.4185588,0.46106657,0.4775729,0.47499612,0.46219543,0.44489694,0.4205545,0.38827857,0.35591972,0.33805338,0.3466735,0.3766053,0.40857103,0.42526233,0.42265657,0.40571925,0.3786639,0.34887934,0.3304224,0.3377925,0.3680383,0.40257075,0.41795328,0.40602946,0.3713182,0.33126235,0.30613196,0.30923608,0.3358612,0.35982534,0.35888955,0.3283895,0.29039085,0.26910648,0.27697396,0.30974343,0.35223886,0.39043775,0.40985194,0.40342703,0.3706245,0.3243593,0.29085743,0.29017577,0.3220935,0.35553148,0.36462077,0.35013565,0.33744213,0.34139177,0.34489152,0.32676232,0.28259853,0.23591654,0.20301163,0.18501203,0.1703121,0.15502217,0.14446814,0.14276846,0.1467141,0.14779948,0.14309718,0.13730252,0.13592152,0.13907832,0.14093545,0.14118563,0.14699672,0.16600299,0.19704431,0.22537987,0.24078275,0.23710553,0.22349519,0.20532423,0.19557965,0.20311183,0.23909451,0.29573128,0.35401908,0.3889402,0.39504674,0.37807092,0.3483882,0.3045332,0.24703014,0.18307489,0.12852946,0.09357127,0.07784021,0.07361809,0.07361423,0.07644179,0.08688415,0.11314102,0.15843624,0.21576019,0.27114034,0.31381154,0.34276152,0.3611866,0.37241182,0.37841424,0.3818412,0.38381425,0.37948015,0.36753833,0.34886202,0.33234432,0.31910145,0.3120505,0.31142735,0.32162097,0.33906797,0.3549253,0.36136997,0.35790423,0.3493726,0.33563557,0.31666645,0.29660586,0.29060698,0.30712333,0.3444002,0.38718173,0.4280739,0.46114048,0.48138502,0.4747901,0.43539965,0.37307766,0.3103328,0.26675245,0.24752416,0.24577661,0.25057015,0.25253227,0.2532643,0.2572149,0.27417895,0.30001616,0.32768318,0.33824885,0.32139507,0.27147418,0.20281927,0.13724622,0.0984196,0.09662079,0.12682842,0.17131376,0.20726794,0.22194721,0.22173403,0.22887254,0.25840372,0.3017626,0.33355477,0.33800521,0.32610622,0.3222334,0.33996153,0.36316505,0.3660288,0.3341588,0.28955135,0.26392078,0.27494493,0.3001404,0.30854827,0.28728423,0.2599259,0.2559493,0.28905788,0.34407237,0.39708778,0.4253874,0.4215919,0.39008307,0.35010514,0.31955627,0.30515072,0.29096517,0.25844145,0.20046042,0.13443261,0.083851375,0.06758006,0.09001058,0.14336395,0.20987421,0.26699182,0.30038425,0.30955726,0.30170843,0.2825159,0.25342998,0.22690672,0.22281332,0.25653204,0.31598496,0.36869475,0.3857665,0.361861,0.31282613,0.25529364,0.19845517,0.14503027,0.10203561,0.07817375,0.08056607,0.10359474,0.13815515,0.17535047,0.21961851,0.2680101,0.30576757,0.3034073,0.25293845,0.17503089,0.10976734,0.07913789,0.08061927,0.097371764,0.118144654,0.13937652,0.16008545,0.18110251,0.20107765,0.2182703,0.22275282,0.20849107,0.17329586,0.12810189,0.0847465,0.055863004,0.04639486,0.058739513,0.09014673,0.13905536,0.19863515,0.25966164,0.3043213,0.32199076,0.3138509,0.30110347,0.3028573,0.3237522,0.34780946,0.3623071,0.36806974,0.38131166,0.40991864,0.4503053,0.4794799,0.47699633,0.42955244,0.35577914,0.28786638,0.25475013,0.24912374,0.24143636,0.20681567,0.14926216,0.09200845,0.053840835,0.038461115,0.03967488,0.05319835,0.077795826,0.113665044,0.15809877,0.2051471,0.24526288,0.2680904,0.27248177,0.2664082,0.2656847,0.2746836,0.28934443,0.29752967,0.29751074,0.29116008,0.2825277,0.26752165,0.24647288,0.22866948,0.23361929,0.27036878,0.32773662,0.37742567,0.4006017,0.39708006,0.3829346,0.36563948,0.34540227,0.31679302,0.28387228,0.25345394,0.2340355,0.23106736,0.24458075,0.26718834,0.2851112,0.29008397,0.2841981,0.27834114,0.28139102,0.29437706,0.30768254,0.30621696,0.27655682,0.21993446,0.15233135,0.09737881,0.072942585,0.084903695,0.13159059,0.19612361,0.25722408,0.28781772,0.28806078,0.27365837,0.27171114,0.28435853,0.29823664,0.29488024,0.27143773,0.23841618,0.21233684,0.20705222,0.22466145,0.25340727,0.2739084,0.27401897,0.2555673,0.23251587,0.22255595,0.23847103,0.27799046,0.3241998,0.35677052,0.37069905,0.37153402,0.36453554,0.34238017,0.30038494,0.2473786,0.20567782,0.19598806,0.22182317,0.27112654,0.31807804,0.340798,0.32944286,0.2995135,0.27986813,0.29216725,0.3321774,0.37472388,0.40078032,0.4061489,0.39898002,0.38105667,0.3576726,0.33927524,0.33965495,0.3572391,0.37677288,0.3842087,0.37669048,0.35615698,0.3210828,0.2712876,0.21796472,0.17893164,0.16508763,0.16934519,0.1749636,0.1696467,0.15469736,0.1406491,0.14082251,0.16334443,0.21181118,0.27638805,0.3445474,0.3975968,0.4328885,0.44684803,0.44658336,0.42870405,0.40183303,0.3710023,0.34521866,0.3198746,0.29161477,0.26389712,0.25052908,0.25987744,0.28556147,0.30910435,0.31793165,0.31068322,0.29947665,0.29120097,0.28567013,0.27019688,0.23801671,0.19581144,0.16892873,0.18462086,0.24987994,0.34250513,0.41871595,0.44361082,0.4074203,0.33691093,0.27835855,0.27383125,0.33360103,0.4258592,0.5031164,0.5288069,0.50340015,0.4446859,0.37731412,0.31631696,0.276978,0.26913527,0.29063752,0.32332066,0.34351,0.34245574,0.3289093,0.32217312,0.33306196,0.3571974,0.37720585,0.37655994,0.35404024,0.32547677,0.31236222,0.32151523,0.34396216,0.3618823,0.36990178,0.36790022,0.36157462,0.34406468,0.3140103,0.27258322,0.24221003,0.24008365,0.27438197,0.32056263,0.35404488,0.36171553,0.3617905,0.36846688,0.3807219,0.37758943,0.3478303,0.29430342,0.23091747,0.16760428,0.113510214,0.07742042,0.07089505,0.097407006,0.14823447,0.19806011,0.2210176,0.20451373,0.16137023,0.11761435,0.095954984,0.09921356,0.11391727,0.12188902,0.11695375,0.105701685,0.103261374,0.11958519,0.15604042,0.20067556,0.23647283,0.24730004,0.2302094,0.19354695,0.15774257,0.14374578,0.16974215,0.23277032,0.31144592,0.3712028,0.3948648,0.3838364,0.35449377,0.31524956,0.27525032,0.24440901,0.23801465,0.25463578,0.2787781,0.2864945,0.2710246,0.2431094,0.22479802,0.23130739,0.25953117,0.29488745,0.3170627,0.3218093,0.31110844,0.29429922,0.27189174,0.24705933,0.22960825,0.23291636,0.2629592,0.30771956,0.35128155,0.38385606,0.40660718,0.423257,0.43009472,0.42140687,0.3917147,0.34786892,0.30707636,0.2910802,0.31027046,0.35137048,0.38808393,0.39690927,0.3753797,0.3323331,0.28001451,0.22433387,0.17391233,0.13978036,0.134479,0.15634471,0.19062148,0.21331708,0.21269739,0.19031484,0.1598562,0.13447016,0.12598777,0.14255112,0.18332398,0.23883927,0.2921914,0.33218315,0.3485191,0.33823666,0.30009565,0.248372,0.20079677,0.17642544,0.17632277,0.19350755,0.21176791,0.22382051,0.22833763,0.2360817,0.25489756,0.28321525,0.30647495,0.30654117,0.27782753,0.22883087,0.18409407,0.16325866,0.17792894,0.21928851,0.2759054,0.33219492,0.37905934,0.40335655,0.396633,0.35727075,0.29656878,0.23349838,0.18305497,0.15200591,0.13680972,0.13227545,0.13382466,0.13849962,0.14438964,0.14995319,0.1578651,0.1739592,0.2042151,0.24553311,0.2820318,0.29441544,0.27843598,0.25289005,0.24729128,0.27609596,0.32831487,0.37577888,0.39558685,0.37983218,0.3355329,0.27371946,0.20798421,0.14981748,0.11047443,0.09199164,0.09055402,0.09735016,0.11245898,0.14173426,0.19485009,0.26585948,0.3400388,0.39297915,0.4162996,0.40723017,0.37824306,0.33797976,0.30315793,0.28709996,0.29894912,0.33195865,0.3661461,0.38498363,0.3859192,0.38108075,0.38032463,0.3804458,0.371071,0.3430543,0.30315316,0.26591903,0.25169107,0.26924133,0.31563976,0.37097105,0.40894482,0.40725777,0.36489534,0.3057048,0.26454413,0.26288268,0.29427096,0.33372676,0.35601115,0.35316542,0.33054593,0.3014787,0.27121857,0.24045093,0.2043489,0.16630428,0.13599773,0.12692606,0.14534205,0.18440388,0.2306779,0.27083066,0.30101332,0.31970945,0.32509485,0.31421337,0.29050806,0.26697078,0.25842008,0.27569124,0.3181262,0.37404656,0.42146373,0.44003844,0.42912853,0.40802982,0.4010687,0.40913358,0.41426444,0.3970563,0.36189744,0.3312702,0.32690594,0.35084188,0.38662812,0.41322443,0.41844988,0.4032096,0.37672898,0.35109305,0.33045253,0.31343734,0.2909397,0.26276365,0.23303862,0.21626042,0.22028308,0.24896862,0.29071835,0.32872364,0.3414317,0.32255086,0.28218362,0.24409465,0.22676186,0.23392622,0.2610726,0.29786816,0.33894834,0.37348762,0.40004897,0.41524807,0.42424548,0.42194715,0.40451288,0.3680965,0.32361758,0.2923181,0.292799,0.32611394,0.370026,0.3950702,0.38315603,0.33847556,0.2844162,0.24563615,0.2348891,0.24196173,0.24851401,0.24403082,0.237513,0.23970763,0.2470365,0.24406679,0.22857319,0.22419317,0.25804666,0.33103248,0.40582028,0.43958223,0.41504171,0.3554361,0.29833165,0.266464,0.25448245,0.24441528,0.229273,0.21944003,0.230304,0.26643994,0.3177453,0.36925074,0.4055548,0.41830406,0.40397453,0.37078658,0.33132145,0.2999765,0.28549528,0.28777543,0.29975808,0.30631676,0.30168414,0.28761196,0.27813235,0.27605954,0.27526164,0.2632549,0.24293576,0.23249762,0.24969685,0.29083374,0.32928953,0.3395799,0.3175378,0.2788817,0.24047661,0.20896037,0.18819018,0.18651883,0.21617472,0.28012738,0.36389968,0.4374864,0.47032413,0.4527962,0.40313682,0.35520074,0.33205804,0.33704102,0.3618449,0.40113112,0.44827,0.48935118,0.50092256,0.47035554,0.40396222,0.3312279,0.28115585,0.2711928,0.29286262,0.32735047,0.35232535,0.35952792,0.3462157,0.31903753,0.28467026,0.25921866,0.256611,0.28469154,0.3282419,0.36265472,0.36940625,0.36008108,0.3617616,0.39222312,0.43602768,0.45656133,0.42994583,0.36603656,0.3075833,0.28898278,0.31527793,0.35217714,0.36746106,0.34927526,0.3141758,0.27709213,0.24382205,0.21418464,0.1957283,0.19843166,0.22123049,0.24758415,0.25724998,0.24595237,0.22938526,0.23304951,0.2700806,0.33497477,0.40451023,0.45613173,0.47064844,0.44564724,0.3886279,0.32695696,0.28449443,0.2779204,0.29691806,0.32482454,0.3407948,0.3377391,0.3142672,0.2849195,0.26765734,0.2801899,0.31803456,0.3641974,0.39482793,0.40137985,0.38425326,0.3552482,0.32510483,0.3075354,0.3057826,0.3190703,0.33578467,0.3524251,0.3645887,0.37678877,0.38502225,0.38711128,0.37509826,0.35020152,0.31895757,0.29898858,0.30205628,0.32478607,0.34165582,0.32767645,0.2816204,0.23226196,0.21242195,0.23051457,0.26459876,0.2829499,0.26915863,0.23243362,0.19930458,0.18905704,0.20062788,0.21200697,0.208385,0.18973397,0.17066844,0.15599906,0.14270236,0.12375001,0.10186707,0.084831856,0.0827773,0.09784189,0.12310201,0.14158064,0.14249454,0.12825839,0.11893621,0.13218252,0.17362247,0.22669978,0.2706947,0.29080594,0.2921461,0.2861928,0.2825445,0.27994385,0.2734835,0.2597064,0.23824637,0.21316116,0.19261223,0.18801717,0.20481014,0.23605245,0.26503968,0.2767385,0.26902166,0.25277495,0.24541235,0.25840166,0.28927162,0.32195696,0.33584118,0.32234338,0.28726533,0.25241336,0.23636025,0.2509965,0.2894239,0.33849594,0.38239035,0.4150078,0.4373648,0.4537203,0.46141708,0.44880405,0.4042745,0.33302647,0.2618557,0.22257334,0.22649014,0.25340486,0.26971266,0.25397107,0.21135163,0.16297665,0.12941861,0.121487856,0.13742268,0.16592406,0.18765682,0.19167507,0.18368666,0.18809147,0.22309089,0.28717458,0.35276613,0.39214972,0.3921821,0.36784744,0.34129682,0.32688987,0.31588805,0.29120368,0.24221915,0.17633778,0.11059364,0.06002757,0.02957421,0.015870254,0.012357295,0.01633261,0.032465328,0.072600715,0.14239751,0.22868907,0.29873517,0.32449982,0.30688986,0.2759142,0.2627817,0.27490357,0.2942221,0.2989165,0.27773574,0.23755234,0.19424279,0.16997294,0.1778459,0.21773905,0.26876968,0.30872735,0.32236907,0.31754053,0.30761433,0.3078021,0.31437147,0.31868032,0.3096443,0.29774114,0.30110464,0.33507404,0.38411638,0.41521934,0.39858472,0.33778873,0.26560968,0.2193243,0.21307117,0.22933845,0.2416519,0.23825113,0.2319849,0.24126478,0.26628336,0.28917575,0.28930536,0.27043208,0.25176415,0.25604126,0.28202334,0.31334236,0.32735837,0.31390163,0.2738942,0.21499924,0.14962734,0.08985487,0.04786284,0.026631357,0.024980098,0.036402185,0.057031613,0.08266122,0.1125528,0.14598747,0.18582349,0.23427002,0.29158846,0.3477827,0.38604817,0.39063096,0.3638767,0.32312045,0.29460916,0.29057452,0.3127879,0.3459539,0.37552857,0.38375664,0.3681079,0.33575845,0.3065438,0.28891897,0.28079507,0.2686226,0.25298318,0.2408831,0.24549162,0.262733,0.28453276,0.29805538,0.3026022,0.29811832,0.28708842,0.26878172,0.24751125,0.23178536,0.2257157,0.22528034,0.22053428,0.21434556,0.21745424,0.23785098,0.26379228,0.2766917,0.27077153,0.25931132,0.25851157,0.26690766,0.27248716,0.27047265,0.27973187,0.31977046,0.39012673,0.45623842,0.48349032,0.45944336,0.4047643,0.34550634,0.2949033,0.25270203,0.21784417,0.200189,0.20685625,0.23692785,0.27059272,0.29264584,0.29339334,0.2833259,0.26849654,0.2579093,0.24582295,0.23305851,0.21733959,0.21213825,0.22590911,0.26169944,0.30006805,0.31892037,0.3057881,0.26979885,0.23140346,0.2057259,0.19561364,0.18930118,0.17774121,0.15923393,0.1462541,0.14594981,0.15621652,0.16451567,0.16802531,0.17591369,0.19701321,0.2270131,0.24890964,0.2576331,0.25590003,0.2524459,0.24008949,0.21666384,0.18728429,0.17020048,0.17261274,0.18712991,0.19944239,0.20423172,0.20721978,0.21601234,0.23077415,0.24678022,0.2552767,0.25354466,0.24211256,0.23399395,0.23909242,0.2620216,0.28877604,0.30671063,0.30953094,0.30699554,0.30670106,0.30889452,0.3060051,0.29587016,0.2895037,0.29807517,0.32542804,0.35542917,0.37538302,0.37239707,0.35052183,0.3127999,0.27939746,0.26750782,0.29008034,0.33103564,0.36375034,0.36642003,0.3418077,0.3069227,0.27815995,0.26209873,0.25730753,0.26184496,0.27084145,0.27585545,0.26597524,0.24078514,0.21628523,0.21102476,0.2284255,0.2481839,0.25342646,0.2464544,0.25056478,0.27971625,0.32501617,0.36191764,0.37231633,0.3568263,0.33068275,0.3145144,0.3275505,0.3738338,0.43988213,0.49308658,0.51283437,0.495737,0.46120283,0.42162442,0.38517323,0.35318473,0.33298215,0.32660675,0.3280295,0.3240352,0.30851558,0.28886986,0.28312016,0.3002338,0.33196512,0.3542304,0.3553524,0.3438364,0.34137318,0.3534902,0.36554122,0.359786,0.33626986,0.30960503,0.28966966,0.27045777,0.24210674,0.20428616,0.17231357,0.16132404,0.1784476,0.2163169,0.26218855,0.29874197,0.312538,0.2970465,0.26268426,0.23027247,0.21898304,0.22916739,0.24400468,0.24733919,0.23930632,0.23680179,0.24928214,0.2696916,0.2759599,0.25921014,0.22731328,0.20003738,0.18530984,0.17848153,0.16976888,0.15657373,0.14302711,0.13392405,0.13512135,0.15112346,0.18375665,0.21992461,0.24089926,0.23132811,0.19812375,0.15838633,0.13166301,0.12521483,0.14035593,0.16939186,0.19975306,0.21492837,0.20657422,0.17749226,0.13941778,0.103326015,0.07813871,0.070939206,0.09150156,0.14288801,0.22105174,0.30181083,0.361467,0.3764197,0.3523643,0.30321738,0.254919,0.2173121,0.19823115,0.20281333,0.23660345,0.29470658,0.34965578,0.37288716,0.34614623,0.28485668,0.2165019,0.17249145,0.16302164,0.18164422,0.20779592,0.2281648,0.24236326,0.2565215,0.2685143,0.2676027,0.2538656,0.24158682,0.24638979,0.26079586,0.2636312,0.24401487,0.21848582,0.21348558,0.23844981,0.2743362,0.2922535,0.27708068,0.2404923,0.20879984,0.20139295,0.21580571,0.2307723,0.22818251,0.2067826,0.18335414,0.17512172,0.18710953,0.21042828,0.2320109,0.24891464,0.2698151,0.30498376,0.35000432,0.3867961,0.40090963,0.39872837,0.40352634,0.43236902,0.47796312,0.5113249,0.511312,0.4796076,0.441766,0.41186306,0.38801548,0.35220745,0.30269915,0.25105515,0.21883833,0.21808602,0.2471264,0.29047826,0.32362568,0.3309298,0.3139195,0.29238662,0.2827842,0.28645363,0.2889404,0.27621523,0.2456461,0.21421152,0.20499945,0.23664574,0.29901388,0.36648408,0.40690872,0.41519925,0.402732,0.39148843,0.38774073,0.3872806,0.38026538,0.36196885,0.3367153,0.31275606,0.30139259,0.3062382,0.32567406,0.35098338,0.369722,0.36967507,0.34210816,0.293862,0.23892994,0.19484669,0.16743635,0.15986949,0.17527182,0.2171886,0.27517375,0.32162896,0.3276579,0.28721908,0.22278805,0.16814812,0.1432702,0.14525533,0.15466045,0.15329546,0.13724063,0.11976964,0.11509546,0.12547852,0.13789189,0.14559238,0.15230495,0.1692215,0.19197041,0.2099173,0.21631159,0.22617036,0.25340033,0.29678762,0.32988548,0.33368757,0.3096511,0.2827542,0.27166453,0.28145576,0.29919025,0.30870458,0.2938155,0.2563447,0.21447639,0.1976474,0.21515429,0.25364286,0.2837642,0.2933451,0.2881857,0.2887046,0.30258912,0.3275019,0.3488882,0.357854,0.34829196,0.32497057,0.29934108,0.28927445,0.30575883,0.3462049,0.39175555,0.42072177,0.41484788,0.3721255,0.3004096,0.21932076,0.14465138,0.08822733,0.05220191,0.036686543,0.040236767,0.05960587,0.08850923,0.11847127,0.14601906,0.16926908,0.1861354,0.19011426,0.18176408,0.17240609,0.1750829,0.18993641,0.19946037,0.19043155,0.16376828,0.14013529,0.14052647,0.1771035,0.24390936,0.31572378,0.36322668,0.36524716,0.33168384,0.28740564,0.26268703,0.26281747,0.27916524,0.2943801,0.30743584,0.320559,0.33586144,0.3410559,0.33313677,0.31843185,0.31476197,0.32228875,0.3301517,0.3218346,0.3011614,0.2816584,0.2834129,0.3070022,0.34223935,0.36521074,0.36921772,0.35888124,0.35371044,0.35917363,0.37207356,0.38082108,0.38408163,0.3839314,0.38319802,0.37829044,0.37078094,0.3667276,0.37149176,0.37575075,0.3670024,0.3470359,0.33620265,0.3517677,0.38405406,0.40624556,0.39644706,0.35985044,0.31946155,0.29988733,0.3134177,0.3535504,0.40401372,0.4397173,0.4460701,0.41924265,0.3808193,0.3572587,0.36889663,0.40169263,0.4264026,0.41834643,0.39004007,0.36993065,0.3797275,0.40828446,0.43150362,0.42871454,0.3975428,0.3435836,0.27761456,0.21261841,0.16590516,0.15024757,0.16587605,0.19808747,0.22994883,0.25505012,0.27790174,0.30092147,0.31432804,0.30458686,0.26795247,0.21695061,0.16964741,0.13846307,0.12542419,0.1254523,0.13122587,0.1361893,0.1368289,0.13292556,0.12651943,0.119954966,0.115246646,0.11381557,0.11693295,0.124560274,0.13583396,0.14818029,0.15865003,0.164015,0.16313815,0.15665956,0.14666183,0.13459753,0.1221827,0.11154621,0.10503001,0.1029737,0.103125006,0.10267523,0.09998131,0.09610804,0.092427455,0.090307064,0.08942028,0.09056524,0.09790101,0.11996604,0.16478272,0.2287597,0.29461998,0.33855644,0.3495028,0.33413264,0.30818832,0.28313127,0.26041514,0.24312083,0.23513414,0.2444882,0.26850095,0.2971282,0.31381544,0.31111634,0.29945806,0.29882172,0.32243526,0.35772952,0.38323295,0.38690948,0.38411272,0.3954723,0.42912176,0.4669257,0.48758766,0.47763884,0.44624296,0.40801814,0.38244292,0.37447998,0.37840557,0.3748317,0.35344318,0.32194528,0.29942515,0.29560342,0.29917893,0.2973882,0.2897652,0.29035303,0.30477366,0.3257271,0.34182456,0.35611978,0.37710714,0.40820587,0.43528378,0.44938836,0.45164743,0.45621836,0.46670887,0.47589913,0.47127688,0.44566754,0.3989645,0.3378869,0.27932048,0.24690942,0.25390387,0.2921274,0.33040062,0.34527948,0.3345326,0.32123962,0.32280624,0.33807042,0.34928402,0.34345713,0.3235829,0.30390927,0.3016636,0.3275886,0.38283244,0.45245424,0.51086384,0.53119016,0.50340456,0.43636322,0.35676503,0.29078266,0.2565134,0.2509304,0.26101598,0.2711275,0.27815807,0.28544462,0.29639712,0.30809405,0.3141551,0.31261095,0.3067483,0.3042204,0.30941164,0.32053378,0.33194983,0.33715868,0.33491853,0.3286924,0.3284638,0.34559464,0.38226426,0.42729482,0.45610154,0.4531648,0.41632298,0.36235392,0.3055202,0.25819227,0.22384007,0.20567746,0.19995429,0.20058699,0.20052826,0.19744478,0.19149633,0.18290637,0.1716065,0.15837993,0.146159,0.13782297,0.13580011,0.13975845,0.14742394,0.15422712,0.15638359,0.15283483,0.14561005,0.13787824,0.13093196,0.12515052,0.120132945,0.11735698,0.11735963,0.120833516,0.12699923,0.13781708,0.15597205,0.18236081,0.2101909,0.22883119,0.23197854,0.22495109,0.21797083,0.21874058,0.22664933,0.24149083,0.26075208,0.28403106,0.30590487,0.33093628,0.36379233,0.4099004,0.4511902,0.46383253,0.4278191,0.35905683,0.29395834,0.26705408,0.27863654,0.29971954,0.3050797,0.29136047,0.2780296,0.27865103,0.2992005,0.33628678,0.38279387,0.42363203,0.43917987,0.4230636,0.38859317,0.36078194,0.35091487,0.34631395,0.32536528,0.27994457,0.2251143,0.18104307,0.15645371,0.14513022,0.14014117,0.1417293,0.1545343,0.17635728,0.1995583,0.21642022,0.22762896,0.23427898,0.2330419,0.21809323,0.19279437,0.17378823,0.17747171,0.20623232,0.24345107,0.26902372,0.27336803,0.2621407,0.24640088,0.23352194,0.22847329,0.23482049,0.25535107,0.28144467,0.30242965,0.31092453,0.31689563,0.33187637,0.35789505,0.38034,0.38140345,0.35955858,0.32668188,0.3030212,0.29585013,0.30477312,0.31784067,0.32476026,0.31941465,0.3107269,0.31430385,0.34005544,0.37761608,0.4054793,0.4052069,0.37410477,0.3215069,0.26032493,0.20335436,0.16054475,0.14319956,0.15503591,0.19161898,0.23401082,0.26268783,0.26254794,0.23333578,0.18550128,0.13880412,0.11171559,0.110892914,0.12574857,0.13583457,0.12785903,0.10428971,0.078917734,0.063150585,0.05922706,0.06426588,0.07789007,0.10555344,0.1512835,0.20955062,0.261376,0.28501165,0.27078897,0.23169841,0.1962889,0.1908014,0.21918875,0.25934848,0.2800106,0.26802483,0.2409137,0.22884297,0.24685426,0.2816187,0.3069639,0.30414233,0.27334592,0.23058905,0.19760741,0.18850255,0.20101543,0.21855575,0.2249866,0.21593833,0.20262235,0.20140938,0.22149456,0.25809488,0.29507467,0.31892148,0.32482108,0.31822583,0.30731928,0.2985464,0.29607114,0.29892847,0.30497715,0.31015554,0.3117452,0.30450428,0.28191665,0.24233522,0.19365096,0.15338401,0.13576722,0.14737065,0.17876859,0.21522982,0.24008548,0.25406107,0.2703389,0.30406463,0.34924826,0.38033965,0.37372088,0.32553133,0.25342134,0.17816782,0.11519007,0.07042419,0.046632443,0.045004547,0.06563485,0.1035825,0.1497526,0.19255877,0.22486107,0.23943223,0.23560941,0.21515368,0.19258834,0.17692077,0.17110936,0.1622582,0.14543389,0.1262437,0.1207718,0.1318699,0.14601786,0.14374073,0.12319172,0.10491922,0.12026405,0.18386829,0.28159437,0.3732233,0.4218377,0.41296306,0.36216536,0.29740158,0.24721457,0.23136546,0.2551923,0.30487308,0.35029006,0.3673943,0.3487458,0.30633914,0.25190368,0.19716494,0.15280707,0.13578825,0.15322386,0.19711752,0.24344736,0.2755074,0.2908274,0.29743496,0.2945237,0.27125105,0.22055133,0.15194057,0.08763212,0.044484537,0.025286043,0.021863697,0.025342794,0.03040005,0.03566846,0.042740762,0.058633383,0.09046396,0.14294153,0.20656109,0.2685206,0.31336197,0.34116837,0.3547643,0.36023402,0.353245,0.3300744,0.29484394,0.26410702,0.2581758,0.28253326,0.32538638,0.3617445,0.37530327,0.36442193,0.3437003,0.32564235,0.3113172,0.28869012,0.24831396,0.19519055,0.14769675,0.12376543,0.12893935,0.15475191,0.18516614,0.20406193,0.20298193,0.18775459,0.17671718,0.18829866,0.22311468,0.26145956,0.27831224,0.267188,0.24620669,0.24250205,0.26671734,0.30597278,0.33814037,0.3517842,0.34808806,0.33088163,0.29875287,0.25241435,0.20109059,0.1639715,0.15772127,0.18636788,0.23463643,0.27589133,0.28764275,0.2671508,0.23327793,0.21324106,0.21969336,0.24232364,0.2567422,0.2540553,0.24902432,0.2697687,0.32282534,0.38874388,0.43206847,0.43351182,0.39439547,0.3357571,0.28414878,0.25860202,0.2644296,0.28579596,0.30997,0.3272355,0.342849,0.34924045,0.33914247,0.30604735,0.26886502,0.25160137,0.2687957,0.30213034,0.31896028,0.29337892,0.23090501,0.15927856,0.11207079,0.10732007,0.14250533,0.1963691,0.24092895,0.2564571,0.24423705,0.22304933,0.21598352,0.23243904,0.26643148,0.30264774,0.3294631,0.34193146,0.33807883,0.31839117,0.28865942,0.2648317,0.25963983,0.27451435,0.29611793,0.31087577,0.30902162,0.28684887,0.249404,0.21501046,0.20948176,0.24704294,0.3175921,0.39395854,0.44952068,0.47335872,0.46731162,0.43860272,0.3931946,0.33928964,0.28985038,0.25989705,0.25718975,0.27874568,0.31501946,0.35804978,0.40210006,0.4387269,0.45312178,0.434749,0.38444057,0.32125425,0.26266482,0.21947508,0.18593842,0.15826799,0.13734524,0.13135822,0.14196981,0.15958737,0.16802068,0.15621333,0.12664631,0.09551769,0.0843128,0.10691906,0.1565785,0.20783131,0.23089926,0.21423192,0.17005758,0.12859885,0.11578867,0.13917284,0.18128558,0.21446306,0.2230596,0.21503724,0.21521187,0.23940271,0.28247917,0.3203027,0.33297527,0.31808898,0.29124072,0.27128592,0.26926705,0.2833912,0.3034712,0.31537464,0.31323543,0.30422506,0.30519444,0.32492495,0.34935138,0.35289297,0.31948456,0.26453614,0.2204789,0.21257682,0.23922043,0.273564,0.2914381,0.28348675,0.27117562,0.27450013,0.30184653,0.32861015,0.33233425,0.3065224,0.2744862,0.25668868,0.2592936,0.2702935,0.28174528,0.29032624,0.29680642,0.30068484,0.30480766,0.31319162,0.32371524,0.3314037,0.33307454,0.3309022,0.3232234,0.30531177,0.28180003,0.26731578,0.27864638,0.3128239,0.35639092,0.39171413,0.40970218,0.40516004,0.37792373,0.33995506,0.30834627,0.29881892,0.3069751,0.32008362,0.3254307,0.3256234,0.32581237,0.32743907,0.323787,0.31799915,0.32041013,0.34374437,0.38055846,0.41584718,0.43416238,0.43689847,0.42842054,0.4108356,0.37943467,0.33398357,0.28531128,0.2512966,0.24332096,0.2583928,0.2819747,0.30311513,0.31504813,0.31549564,0.29991782,0.27224445,0.2477973,0.24269056,0.25900853,0.27710605,0.28118482,0.27076772,0.2659234,0.28124774,0.314994,0.34991637,0.36541525,0.35218433,0.3123198,0.26280996,0.22260691,0.20540456,0.2090122,0.22135013,0.23138033,0.2382166,0.24651821,0.25686213,0.2616556,0.25472698,0.23944198,0.23043717,0.23992892,0.2698774,0.30723664,0.33549953,0.34222797,0.328326,0.30607036,0.29342046,0.30172014,0.32863167,0.35859394,0.37589523,0.37076643,0.34758648,0.3162301,0.29270434,0.2831675,0.28472757,0.28331327,0.27159968,0.25241742,0.2368266,0.22918992,0.22546631,0.2182622,0.20947368,0.20848191,0.22470523,0.2532477,0.2772677,0.27868876,0.25535357,0.22177581,0.1984484,0.19678946,0.21565992,0.24735385,0.28291205,0.31313065,0.32794976,0.323956,0.3099636,0.3025072,0.3100387,0.32307205,0.32525137,0.31052223,0.2928364,0.2893707,0.30541727,0.32482624,0.32946894,0.3122623,0.28966475,0.2813737,0.29935256,0.33188495,0.35929525,0.36418006,0.34750137,0.32675743,0.32192838,0.34175977,0.37032795,0.38452077,0.36481,0.31563547,0.25513855,0.21066551,0.19938982,0.22328432,0.26262617,0.29207802,0.29673478,0.28722587,0.284595,0.30134347,0.3272777,0.34349215,0.3400565,0.3220792,0.30229953,0.28670344,0.27525315,0.2608548,0.24047484,0.21403348,0.19211775,0.18674998,0.21077971,0.26151845,0.3251091,0.3744971,0.3914455,0.37046012,0.32487357,0.272902,0.23244609,0.21534866,0.22558244,0.25594014,0.2899866,0.31207427,0.3140677,0.29558226,0.2569758,0.20204501,0.1415032,0.093738735,0.07353138,0.080865316,0.101549335,0.11679003,0.11928613,0.11722583,0.12811798,0.16197312,0.20951092,0.24897946,0.26286384,0.25444195,0.24145716,0.23972277,0.25082403,0.26383993,0.2709858,0.27285457,0.28032932,0.30037728,0.33078763,0.35842422,0.3696979,0.35970044,0.33600664,0.31132677,0.2962736,0.29168674,0.2970973,0.3088931,0.3244498,0.33315852,0.32574686,0.2993517,0.26233056,0.22541259,0.19323455,0.16803123,0.15625729,0.17203982,0.21907882,0.28105262,0.32465413,0.3314221,0.31125376,0.29358017,0.29506385,0.3063909,0.30763292,0.28978065,0.26576865,0.25260493,0.25959635,0.27913162,0.29885924,0.30825865,0.3026077,0.28104433,0.24576771,0.20900096,0.1887423,0.20194839,0.2482201,0.3099182,0.36131063,0.38474762,0.37691298,0.34653625,0.30595008,0.27014637,0.25137728,0.26013622,0.2935734,0.33969927,0.37694034,0.3910307,0.37789002,0.35040405,0.3224586,0.3047095,0.29301384,0.28439736,0.27424225,0.26594374,0.25850105,0.2544143,0.25254056,0.25173047,0.24749835,0.2410425,0.24175139,0.25983918,0.29413822,0.3276626,0.34185648,0.33193317,0.31260657,0.30678764,0.32435325,0.35602474,0.37775505,0.3765513,0.3533269,0.32289305,0.29550415,0.27994385,0.28016272,0.29579386,0.31678495,0.32730922,0.31976447,0.29788944,0.27990112,0.28118062,0.3113776,0.36118415,0.41222164,0.44260594,0.44075784,0.40844616,0.35603738,0.30166507,0.26222625,0.252136,0.27211702,0.31008187,0.3455744,0.36078843,0.3521277,0.3315675,0.31791636,0.32152703,0.3350136,0.34686533,0.34983525,0.35082045,0.35113904,0.34959778,0.33877507,0.32533145,0.3183884,0.32530284,0.33758828,0.34307805,0.333951,0.31254974,0.28657556,0.26681903,0.26349056,0.28117132,0.31072107,0.33544496,0.34126544,0.32904693,0.3085322,0.29130423,0.28294066,0.28627476,0.3004582,0.3192094,0.33105192,0.32611576,0.30783233,0.28923047,0.28726104,0.3065631,0.34410766,0.38615808,0.42056867,0.4333993,0.4216194,0.3884906,0.34505925,0.2980615,0.25308684,0.21835239,0.20535253,0.21979327,0.24991922,0.27508223,0.28015462,0.2702123,0.2641219,0.2781941,0.3149109,0.3589771,0.39112046,0.3957363,0.3731378,0.33403242,0.29519513,0.269201,0.2641476,0.2805872,0.31538644,0.35799742,0.39932132,0.42540526,0.42883384,0.4046644,0.36663833,0.3324654,0.32014933,0.3265668,0.33988371,0.34388795,0.33726498,0.32719097,0.324195,0.3280675,0.3302624,0.32633987,0.32308018,0.3323027,0.3522745,0.36821744,0.36812422,0.3584355,0.35792252,0.37267485,0.39079872,0.39041877,0.36785483,0.33413336,0.3089213,0.29965618,0.3054317,0.31871125,0.3316374,0.3380507,0.33464894,0.32548866,0.31226912,0.29730105,0.27817318,0.26442173,0.26515278,0.28861225,0.32109657,0.34447348,0.34121946,0.31726268,0.28757307,0.2728552,0.27836552,0.3006594,0.32478473,0.3370998,0.3279383,0.3004142,0.2725321,0.26498488,0.28708193,0.32242656,0.34682652,0.34536973,0.3262999,0.30513644,0.29227212,0.29003838,0.29867515,0.3184669,0.34156942,0.35948372,0.36526123,0.36505106,0.36052597,0.35196456,0.33265194,0.30788615,0.2862949,0.27675167,0.27773657,0.2861408,0.30352512,0.33211538,0.36679724,0.3916273,0.39660287,0.3849114,0.37037078,0.35892162,0.34682998,0.32997608,0.31197318,0.2986003,0.28805766,0.27288374,0.25030458,0.22459465,0.20756061,0.20456816,0.21773009,0.2381711,0.25796756,0.26708972,0.26084262,0.2401973,0.2152798,0.1991495,0.19527985,0.19232512,0.1757463,0.14205556,0.1042605,0.078080274,0.073504485,0.08817222,0.11481459,0.1424338,0.16505617,0.17929542,0.18938707,0.19760017,0.20731272,0.2143595,0.21891664,0.22160995,0.2295642,0.24076068,0.24708919,0.23820615,0.21764632,0.20097978,0.2031356,0.22777231,0.26441312,0.30081415,0.32376233,0.33061907,0.32299492,0.31282568,0.30728495,0.309761,0.31303716,0.31098822,0.30103567,0.29180437,0.29253724,0.3095008,0.33614907,0.360117,0.36605105,0.34609303,0.30765095,0.26890355,0.24651337,0.23729976,0.22731198,0.20856905,0.18971963,0.1861655,0.19882889,0.21819909,0.23011239,0.23845327,0.250012,0.2707472,0.28751042,0.2901519,0.27559355,0.25730357,0.24347742,0.2377872,0.2385871,0.25522593,0.29468015,0.35394013,0.40417752,0.4177649,0.3820939,0.3215336,0.26585552,0.24040563,0.2409008,0.25756207,0.2728094,0.28234193,0.2850884,0.28974605,0.30202428,0.32155108,0.34349895,0.3604927,0.3685995,0.35996094,0.33130062,0.28816962,0.2503396,0.24010603,0.26570103,0.3156481,0.36481223,0.39338604,0.39491472,0.37826946,0.35554966,0.33539483,0.3170807,0.29556894,0.26795176,0.23925948,0.22088932,0.22160988,0.24272053,0.2750033,0.30545723,0.32035878,0.31481716,0.29352129,0.27065265,0.25695378,0.25274348,0.24654113,0.22789238,0.19772227,0.17072451,0.16501606,0.19180463,0.24549432,0.3066647,0.34726122,0.35155463,0.32264253,0.28439015,0.2604102,0.26502034,0.29384723,0.3317144,0.35419405,0.3439586,0.2951376,0.22347148,0.15392543,0.115192115,0.12030556,0.16170256,0.2089891,0.23048742,0.21208607,0.16834639,0.12829642,0.11844502,0.14652695,0.20414828,0.27083907,0.32863364,0.36333779,0.37130713,0.35354793,0.3215779,0.28856638,0.26700395,0.25596836,0.2508893,0.24858099,0.25791514,0.28565505,0.32910252,0.36960387,0.38438395,0.35972247,0.29953378,0.22816892,0.17449641,0.15986268,0.18118028,0.22224505,0.2615007,0.28798556,0.29430652,0.27910247,0.24640684,0.21231355,0.19708364,0.20922129,0.24146329,0.2742126,0.29510593,0.29842535,0.28755158,0.26751277,0.24432035,0.22415692,0.20646416,0.19115794,0.17654647,0.17138214,0.18483044,0.22520335,0.2850988,0.34651792,0.3830811,0.38169286,0.34718195,0.30758867,0.2888442,0.29941618,0.3201871,0.3267511,0.31127286,0.28686833,0.26996842,0.26018855,0.24574922,0.21902312,0.19063179,0.17760451,0.18709393,0.20843397,0.22579645,0.23618494,0.2460198,0.26337206,0.27770182,0.27735388,0.25065175,0.20852213,0.16600543,0.14328492,0.14403482,0.1615326,0.18093158,0.19347882,0.19899309,0.20149137,0.20639086,0.21939908,0.24459416,0.27850738,0.30464503,0.3068049,0.27793053,0.2337241,0.19523211,0.18038674,0.18633945,0.20240231,0.21777658,0.23535758,0.25887766,0.28687283,0.30628332,0.31091723,0.30232728,0.29245865,0.28725085,0.29118484,0.30167007,0.3151257,0.3219888,0.31710637,0.2983796,0.27137068,0.24171986,0.22334822,0.22934888,0.26893452,0.32738674,0.37905446,0.39742878,0.3815374,0.3463169,0.31475952,0.29716805,0.29384616,0.29713637,0.2976855,0.2874156,0.26369098,0.23595846,0.21870248,0.22344197,0.24926789,0.28840974,0.32851747,0.35733664,0.3647363,0.35129824,0.32467806,0.29469517,0.26369056,0.23722811,0.22488558,0.23837586,0.273209,0.30867496,0.3207407,0.30184102,0.26560092,0.2352076,0.22873704,0.24795835,0.27950963,0.30322602,0.31063697,0.31239796,0.3288084,0.36606148,0.4063637,0.42569676,0.41754845,0.39822218,0.383817,0.372216,0.35031745,0.31521606,0.28376046,0.271672,0.27802572,0.28240684,0.27063143,0.24401021,0.21836883,0.205694,0.2091781,0.22485612,0.24482186,0.26034042,0.2627603,0.2518205,0.23376472,0.21863616,0.21372397,0.2219555,0.24461257,0.27508083,0.3067373,0.32754767,0.336133,0.3301909,0.3154476,0.29587927,0.2819681,0.28363907,0.301859,0.32639703,0.33755696,0.32734412,0.2995526,0.27085292,0.251837,0.24635197,0.25059304,0.26089856,0.27395403,0.28732386,0.30093396,0.31535935,0.3296388,0.33545795,0.3243889,0.29384896,0.2551232,0.22220135,0.20375024,0.19767793,0.2017162,0.21707447,0.24345303,0.27153113,0.28760853,0.28622174,0.27431256,0.26353702,0.26386333,0.2778962,0.30234304,0.32303175,0.32756007,0.31326258,0.2951131,0.28899348,0.29949033,0.31481752,0.32054976,0.30923936,0.28471872,0.2562264,0.23256288,0.21926284,0.21489997,0.21666591,0.21987212,0.22755702,0.24331617,0.26868153,0.29402384,0.30538502,0.29652825,0.27633864,0.26408073,0.27213833,0.29590973,0.31743026,0.3212591,0.30837166,0.29412308,0.2969137,0.32295516,0.36268714,0.39367974,0.3972473,0.36896846,0.32408932,0.2821335,0.2550025,0.24235873,0.24110271,0.25256768,0.27855256,0.31544614,0.34865853,0.36506045,0.35911843,0.3440924,0.33290473,0.33340463,0.33415547,0.3267318,0.3089225,0.29422572,0.29425433,0.309639,0.3270023,0.328494,0.31326064,0.29496327,0.2946764,0.31339422,0.33781192,0.35054517,0.35025486,0.34569237,0.34284043,0.3385888,0.3278462,0.31485283,0.3077543,0.3089948,0.3101497,0.3035033,0.29241517,0.2905918,0.3086564,0.34423992,0.38078,0.40247163,0.40076375,0.38335702,0.35920477,0.33935,0.32404032,0.3135654,0.30403492,0.29788736,0.29781273,0.30470657,0.31445703,0.32252613,0.33662534,0.36522928,0.41153166,0.45237994,0.46451744,0.4334513,0.37830648,0.32487717,0.29466084,0.28314483,0.2779735,0.27015796,0.2652949,0.26945317,0.28092667,0.2916651,0.2993021,0.30839157,0.32267532,0.34007826,0.3566613,0.36879778,0.37427902,0.3705871,0.36458823,0.36503792,0.37692752,0.38702407,0.37930706,0.34870562,0.30841815,0.27650937,0.26048255,0.2595775,0.26906657,0.28896454,0.31777492,0.35227108,0.3815743,0.39325938,0.37804747,0.3419449,0.30284074,0.2793083,0.27669945,0.28685617,0.30059338,0.31123504,0.31553283,0.30754042,0.28886983,0.26987913,0.2669315,0.28314513,0.30449483,0.30759147,0.28275156,0.2402604,0.20440221,0.19392264,0.21550448,0.2601062,0.30933988,0.34073293,0.34176716,0.31909373,0.29432514,0.29062077,0.31407395,0.35549808,0.3923392,0.4096699,0.40171134,0.37873134,0.34881,0.3178096,0.28518924,0.2578816,0.24410601,0.2504111,0.26894113,0.28843048,0.30067456,0.31420994,0.33999333,0.3814454,0.42297748,0.44739637,0.45019424,0.4431341,0.43684173,0.42735615,0.4033071,0.36138156,0.31610116,0.2882596,0.29116726,0.32143077,0.36313936,0.39862755,0.41915914,0.42920628,0.43951714,0.45342016,0.4658134,0.46676207,0.4577397,0.44250095,0.42636895,0.40532878,0.38070956,0.35898066,0.3521947,0.3644211,0.39020908,0.41841057,0.43853545,0.4450005,0.4372841,0.4244173,0.41774917,0.42552567,0.44118237,0.45411465,0.4552828,0.44985536,0.4428842,0.4381332,0.43076232,0.42099002,0.41237104,0.4096153,0.41501188,0.42910144,0.45607778,0.49396634,0.53385967,0.5612872,0.568577,0.5608488,0.5471396,0.5363014,0.52497256,0.50891787,0.48329735,0.4537073,0.4284869,0.41455975,0.41479507,0.42585286,0.44289145,0.45776772,0.46993604,0.48431197,0.50546414,0.5283039,0.5413914,0.5411035,0.5303461,0.5142603,0.4905376,0.45870587,0.42329141,0.39293885,0.3747556,0.36977527,0.37870678,0.3962493,0.41843644,0.43504357,0.4441421,0.44261432,0.43670437,0.425527,0.41447034,0.40442327,0.4056356,0.4182383,0.43891755,0.4530691,0.45665574,0.45552385,0.4617487,0.47778642,0.49197498,0.4934739,0.47862625,0.4568372,0.4356271,0.4174672,0.3983824,0.3736926,0.34962377,0.3344587,0.34063116,0.36051297,0.38404083,0.39281487,0.3870522,0.37137732,0.3604677,0.359092,0.36551428,0.3710562,0.37473658,0.38181326,0.39906552,0.4190749,0.42898652,0.41714612,0.39360157,0.375844,0.3803189,0.39740542,0.40733722,0.39019164,0.35319158,0.31760064,0.30971336,0.33289185,0.3721808,0.40173188,0.40859973,0.39408144,0.368942,0.34299242,0.32569265,0.326202,0.34773254,0.3839309,0.4199569,0.4465872,0.461784,0.47346067,0.4858811,0.49955347,0.5076699,0.50394815,0.48978508,0.47459626,0.47300267,0.48660994,0.50417155,0.5064594,0.4908775,0.47104177,0.4652361,0.4709606,0.47030297,0.446033,0.4033861,0.3626045,0.34078276,0.33814275,0.3410627,0.33915505,0.3323556,0.32921663,0.33794367,0.35964334,0.393622,0.43346357,0.47173968,0.49453846,0.49414036,0.47491446,0.45310855,0.44431487,0.4483639,0.45474765,0.45118627,0.43589094,0.413396,0.38972282,0.36860418,0.35226426,0.34116736,0.33660424,0.3379862,0.346725,0.35715315,0.3630966,0.35674915,0.34159097,0.3272409,0.322818,0.32828102,0.33630598,0.34294394,0.35190022,0.3669714,0.39074245,0.41372016,0.43708754,0.45520672,0.47601458,0.4864714,0.4801561,0.44118592,0.37821174,0.30630234,0.24998377,0.22006111,0.21355665,0.21786875,0.22036229,0.21767427,0.21230362,0.21005243,0.21390574,0.22099496,0.2277766,0.22997077,0.2322207,0.23853521,0.25234643,0.26700336,0.27173626,0.25673562,0.21939087,0.17002644,0.12566307,0.10590448,0.118772276,0.16090725,0.2168748,0.26935446,0.30509505,0.32155135,0.3262439,0.33174852,0.3495792,0.38500974,0.4337338,0.48102656,0.50929385,0.50794154,0.47963718,0.43478748,0.38549772,0.34000567,0.3037202,0.27757832,0.26070505,0.24916856,0.24157356,0.23675239,0.23689242,0.24083911,0.24613173,0.25003597,0.25467417,0.26771048,0.2905282,0.31366932,0.31705806,0.29225808,0.25125566,0.21864285,0.20868617,0.21600032,0.23003067,0.25097263,0.28554177,0.3303205,0.3595947,0.3512288,0.30624297,0.26225168,0.25317213,0.28519416,0.32393226,0.3355771,0.3098296,0.26659933,0.22955914,0.21401171,0.23014832,0.2815037,0.36244997,0.4440914,0.49519745,0.49286008,0.44321156,0.3679333,0.29636168,0.24922015,0.2351266,0.25163692,0.28899,0.33543846,0.37578318,0.39643106,0.3896136,0.363705,0.33684388,0.32910427,0.3441832,0.3735012,0.39696467,0.40151832,0.3820705,0.3501748,0.3240846,0.3220222,0.34738505,0.38302752,0.4003656,0.37968317,0.33340707,0.29650927,0.30115387,0.34365466,0.39349744,0.41838208,0.40855327,0.3749745,0.33312055,0.3023908,0.29405633,0.31001052,0.326452,0.31619212,0.2689332,0.20724277,0.1669416,0.16866566,0.20800996,0.26347122,0.31566444,0.3494072,0.35673705,0.33804324,0.3120471,0.30263937,0.32238182,0.35528597,0.37792695,0.37675563,0.36018348,0.33924922,0.31646946,0.2878506,0.25562587,0.23692249,0.246436,0.28503558,0.33120427,0.3638941,0.37335515,0.36735258,0.35589966,0.34578738,0.33429852,0.31469616,0.27854604,0.22737335,0.17379571,0.13846359,0.13679987,0.17067857,0.22830069,0.29004607,0.3390664,0.36596045,0.36991382,0.3552796,0.32636523,0.29069486,0.25608984,0.23954482,0.25007164,0.29126474,0.3425219,0.38480997,0.39849147,0.38767934,0.3606058,0.33278266,0.30802503,0.2878931,0.271297,0.26355568,0.26924202,0.28730452,0.3087185,0.32320833,0.32723668,0.32290423,0.31782255,0.31513837,0.3159018,0.31112564,0.294888,0.26584294,0.23846163,0.22881137,0.24403648,0.2731539,0.29680622,0.30467847,0.29724964,0.2825371,0.25975809,0.22730494,0.18692927,0.15568511,0.15493847,0.19529383,0.26632833,0.3391069,0.38862753,0.40057167,0.37980306,0.3368763,0.29076654,0.26125285,0.2640635,0.29946563,0.34840667,0.38843837,0.40350714,0.3924395,0.35501325,0.2942351,0.21796547,0.14929405,0.11614414,0.13645649,0.20241205,0.2836391,0.34518376,0.3668503,0.35298374,0.32180828,0.29630706,0.28841838,0.2994636,0.31551912,0.32171014,0.30761862,0.27670962,0.23946363,0.21134603,0.20651649,0.23330867,0.2841135,0.33456504,0.35496083,0.3313925,0.27302298,0.20452403,0.14647222,0.10803474,0.0878841,0.084056474,0.09659349,0.124627136,0.1600699,0.18808627,0.19792576,0.19408406,0.19392407,0.21157002,0.24165964,0.2634139,0.2570521,0.22085975,0.17137313,0.1335036,0.12930882,0.16599269,0.23240554,0.2975749,0.3340025,0.33210945,0.31291905,0.30137333,0.31079483,0.32746208,0.33145547,0.3094736,0.26928207,0.23094742,0.21344125,0.22144859,0.24520159,0.27304205,0.2986648,0.32033435,0.33490586,0.33819696,0.32712492,0.3034875,0.27529722,0.2650399,0.294907,0.37295973,0.4668046,0.5291478,0.52319634,0.45805955,0.36735415,0.28564313,0.22463238,0.18566503,0.1701988,0.18222141,0.21836372,0.2675524,0.3176252,0.35883245,0.37976024,0.366514,0.3146803,0.24177688,0.18316822,0.17124903,0.20997949,0.27527115,0.32677567,0.34127185,0.31860968,0.28504536,0.26483932,0.2706257,0.2937263,0.3170395,0.32496342,0.31181684,0.2842196,0.25618687,0.2447956,0.25963128,0.29854807,0.34573415,0.38302746,0.39999786,0.39814106,0.38312963,0.35498932,0.31034052,0.2500824,0.19003828,0.15306397,0.1557476,0.19139415,0.23547335,0.26081654,0.26190472,0.25251308,0.25848716,0.29006556,0.34308103,0.39211345,0.4149119,0.39462075,0.33959082,0.2711098,0.22061364,0.20596586,0.22680914,0.26297545,0.2894628,0.29349032,0.27773345,0.2609848,0.258263,0.2801316,0.31941637,0.36455154,0.39523473,0.3977078,0.36387673,0.30276334,0.23469935,0.18278156,0.16059963,0.1674877,0.19741364,0.24134283,0.29138425,0.33518878,0.3633776,0.3720624,0.36621597,0.34778646,0.31457767,0.2621123,0.19996507,0.14712662,0.12264923,0.1303205,0.1616686,0.20574963,0.2521893,0.2924662,0.31581026,0.3156475,0.2889075,0.24006693,0.18040991,0.12897463,0.10559892,0.11958779,0.16509613,0.22169732,0.27242228,0.30587813,0.32592276,0.33231735,0.3285603,0.311179,0.28837696,0.26669136,0.25475925,0.24644144,0.23194091,0.2011004,0.15744981,0.11161872,0.075593255,0.053275257,0.042531002,0.04034238,0.049126495,0.07772087,0.13208257,0.20466352,0.27051306,0.30271164,0.28998622,0.24603705,0.1975497,0.16792627,0.16442843,0.18203127,0.21018954,0.24046957,0.26413235,0.27433267,0.26987207,0.2574416,0.24490573,0.23379813,0.22344464,0.21998717,0.23430495,0.2694276,0.3107473,0.3375171,0.3412241,0.33392826,0.33525935,0.3529968,0.37555778,0.38839734,0.38884065,0.39142606,0.40207908,0.4091827,0.38794717,0.33191785,0.26086313,0.20761138,0.19387473,0.21968968,0.26919177,0.31710735,0.33867407,0.32085237,0.27126983,0.21359533,0.17041217,0.15181302,0.15727061,0.18339837,0.22602649,0.27453384,0.3149248,0.33353987,0.32540724,0.2895665,0.23248066,0.16520934,0.10438747,0.06284828,0.046550464,0.055004347,0.08395194,0.12513578,0.16518886,0.19364883,0.21115072,0.23134565,0.2659973,0.31174004,0.35131478,0.36790693,0.36032572,0.3366107,0.3116517,0.29211155,0.28503358,0.2868103,0.2952578,0.30152592,0.30114517,0.286535,0.25441495,0.20509984,0.14806257,0.09649851,0.061668057,0.048052806,0.055876207,0.086484134,0.14236937,0.22239582,0.3128314,0.3907396,0.4323883,0.42936245,0.3885044,0.33002326,0.27380556,0.23809992,0.22921278,0.24305741,0.26326475,0.27684048,0.28030625,0.28034404,0.27976298,0.2760494,0.26817927,0.266569,0.28241432,0.31325743,0.33927646,0.34282303,0.32399163,0.29769638,0.27480224,0.25397423,0.228835,0.2009338,0.18179019,0.18481438,0.21523969,0.26397008,0.31370673,0.34913024,0.3697443,0.3844777,0.40162435,0.41485846,0.41188088,0.38654378,0.35045865,0.32226086,0.31312993,0.32042035,0.33333802,0.3419743,0.3368919,0.3123696,0.26932076,0.21929471,0.18028982,0.16586876,0.18226065,0.22129695,0.2708039,0.31294435,0.34050503,0.3501825,0.34806773,0.3400991,0.3354157,0.34111547,0.3566873,0.37524804,0.38624987,0.38503835,0.36939123,0.3420169,0.31302533,0.2977656,0.30685222,0.33093533,0.34998086,0.34472242,0.3138529,0.26752546,0.2219324,0.18920577,0.17576273,0.185534,0.2172331,0.2663816,0.3164358,0.35038403,0.3524694,0.32132617,0.26560393,0.20568176,0.16592495,0.1623479,0.19298176,0.2311648,0.24726886,0.2220874,0.16653152,0.10454523,0.062608086,0.049865767,0.061394274,0.08190941,0.09565119,0.094804846,0.08080312,0.063101925,0.048971742,0.04174778,0.038663607,0.03632919,0.031643506,0.02467906,0.017181559,0.011402025,0.007941122,0.0060161483,0.0046290373,0.003356126,0.0022620882,0.0014077481,0.0007943048,0.00038534356,0.000154227,7.151325E-05]