[0.017925493,0.027181229,0.047006834,0.07001032,0.088881694,0.09920862,0.10167262,0.09930101,0.095253445,0.0909215,0.08673813,0.08257309,0.07818717,0.07330839,0.06809816,0.06319884,0.05944137,0.05779017,0.05954039,0.06673961,0.080249675,0.098641284,0.11710102,0.13129513,0.13904776,0.14196171,0.14206505,0.14088987,0.13851072,0.13514133,0.13123564,0.12760401,0.12466875,0.122298874,0.1198281,0.116591655,0.112381734,0.10753932,0.102782406,0.098692454,0.0955939,0.09325665,0.091085486,0.08799667,0.08298573,0.075918406,0.06858824,0.064605184,0.06735762,0.07753077,0.091815926,0.10506872,0.11326015,0.11565017,0.11396116,0.11064962,0.10772273,0.106909506,0.110366665,0.12055979,0.1385606,0.16261345,0.18792717,0.2098481,0.22558124,0.23511387,0.23904516,0.23890437,0.23670058,0.2353918,0.23651272,0.2396525,0.24181442,0.23964806,0.23067111,0.21531379,0.19625609,0.17774785,0.16336687,0.15538023,0.15321176,0.15402843,0.15342893,0.14858316,0.13922781,0.12792422,0.11765463,0.110464625,0.106229246,0.10329366,0.09966379,0.09443566,0.08815659,0.082493685,0.07975093,0.082828276,0.09326187,0.10992693,0.12773964,0.14163506,0.14890116,0.15128994,0.15138891,0.15092462,0.14938305,0.14602506,0.14067338,0.13417225,0.12752457,0.121465266,0.11621534,0.11180446,0.10817316,0.105315685,0.10310286,0.101350136,0.09976902,0.09809801,0.096005864,0.09303588,0.0884541,0.08200431,0.07471353,0.06970163,0.07024474,0.077792846,0.08998012,0.10277843,0.11247474,0.11796079,0.11970052,0.11926635,0.11843427,0.12000231,0.12764062,0.14489913,0.17206003,0.20423621,0.23310906,0.25238207,0.26205528,0.2664012,0.2691598,0.26944053,0.26469967,0.25342038,0.23767956,0.22049667,0.20467669,0.19142276,0.1812884,0.17517428,0.17525506,0.18425931,0.20217276,0.22414358,0.24164991,0.24881397,0.2460836,0.23987126,0.23612899,0.2370363,0.24030654,0.2428667,0.2425979,0.23939301,0.23409735,0.22762372,0.22009207,0.21143945,0.20247506,0.19552594,0.19255082,0.19368295,0.1962889,0.19761474,0.19591753,0.191559,0.18538952,0.17886277,0.1734882,0.17081575,0.17056979,0.17069636,0.1682242,0.16283555,0.1568103,0.15378253,0.1545448,0.15714277,0.15843882,0.15716656,0.15393673,0.14980035,0.14510483,0.13949393,0.13274567,0.12511192,0.11767423,0.1126081,0.1121844,0.117400624,0.1262446,0.1352492,0.14131187,0.14389402,0.1438855,0.14258657,0.14058651,0.13828763,0.13595653,0.13386393,0.13190722,0.12989216,0.12731673,0.123921305,0.1194987,0.11466125,0.11033198,0.107995115,0.10831299,0.1110893,0.11449286,0.11674681,0.11660535,0.11424833,0.11037216,0.106771536,0.10717133,0.11656948,0.13746756,0.16593246,0.19242464,0.2081877,0.21025555,0.20282955,0.19240041,0.18569021,0.1861167,0.19434248,0.20631687,0.21627963,0.21889317,0.2126577,0.1996963,0.18449332,0.1720881,0.16627574,0.16835755,0.17617981,0.18539292,0.19184333,0.19393516,0.19261377,0.18984427,0.18681039,0.18384503,0.18074541,0.17734183,0.17303474,0.16698648,0.15862674,0.14859353,0.13843806,0.12968567,0.122828096,0.11782474,0.1146185,0.113438904,0.113782085,0.11424751,0.11304573,0.109334886,0.10365962,0.09757027,0.09284801,0.09090337,0.09197175,0.09485064,0.0971713,0.09725625,0.09490931,0.09141933,0.08806934,0.08548513,0.0836693,0.08231536,0.0812171,0.08019918,0.07932336,0.078550555,0.07766777,0.07629042,0.07419602,0.07163798,0.069128,0.067116946,0.06548124,0.06403207,0.065006085,0.07612603,0.11169162,0.18376791,0.2915304,0.4128872,0.5166443,0.57813525,0.59469986,0.5787966,0.547635,0.51007086,0.4675713,0.4175106,0.35999826,0.29904914,0.24180095,0.19480318,0.16157585,0.14218318,0.13455963,0.13602227,0.14343111,0.15458965,0.1707418,0.19792986,0.24107377,0.29481208,0.33961138,0.35412964,0.33305398,0.29765618,0.28295407,0.31432316,0.38926396,0.48021924,0.5530746,0.58399945,0.5679777,0.5152697,0.44713667,0.38480508,0.34137237,0.31528345,0.30002868,0.29242346,0.29883233,0.32341638,0.36241448,0.4023659,0.4313712,0.44491038,0.44598433,0.43951455,0.4265807,0.40358385,0.3653383,0.31177267,0.25310105,0.206688,0.19046742,0.21094431,0.26120618,0.3210865,0.37040123,0.3968196,0.40287516,0.399336,0.39835057,0.40603742,0.42237437,0.44284877,0.4617186,0.4730867,0.47285154,0.45923796,0.43488193,0.40551755,0.37870204,0.35956764,0.3490453,0.34322533,0.33594844,0.32131407,0.2959976,0.26161835,0.22676332,0.2058708,0.21227531,0.24874675,0.3042055,0.35986438,0.4008337,0.42132226,0.4224693,0.40751407,0.3814672,0.35163295,0.32464555,0.30228236,0.28361368,0.27118796,0.27377757,0.29816163,0.342024,0.39319968,0.44021788,0.4775463,0.5058346,0.5236781,0.52600557,0.5046423,0.45730674,0.39123055,0.3257734,0.2813306,0.2686055,0.2800419,0.29751635,0.3063893,0.3048115,0.30262476,0.3096143,0.32875296,0.35118377,0.36265454,0.34990188,0.31204262,0.26314571,0.2277471,0.22464013,0.25409374,0.2956777,0.324293,0.3274915,0.31507885,0.3073691,0.32032153,0.3521955,0.39011216,0.41974768,0.43679282,0.4445366,0.44891813,0.4522387,0.45261312,0.44599447,0.4306427,0.41212907,0.4029204,0.4147466,0.44793066,0.49031875,0.52689546,0.5507627,0.56308585,0.5648875,0.5519796,0.52131253,0.47923937,0.4417696,0.4221886,0.42132676,0.42809394,0.43069103,0.4247768,0.41429377,0.40521488,0.399922,0.39334807,0.37733075,0.34690943,0.30882105,0.2779123,0.2693119,0.28602108,0.31885818,0.35206723,0.37409434,0.37986088,0.36997017,0.34763256,0.31930086,0.2925503,0.2728035,0.26025656,0.25269344,0.2492763,0.25095183,0.2562616,0.2590905,0.25338036,0.24053854,0.23103122,0.23603742,0.2571534,0.2855756,0.3103235,0.3271819,0.3382744,0.34703088,0.35429564,0.35930324,0.36099744,0.35749677,0.34527588,0.32115072,0.2856901,0.24483442,0.20677666,0.1787286,0.16533497,0.17014456,0.19336964,0.22956981,0.26689014,0.29447913,0.3077024,0.3093439,0.30288354,0.29069313,0.27372968,0.2542524,0.23384768,0.21489972,0.2031459,0.20718159,0.232132,0.27189258,0.31387946,0.34793854,0.37390348,0.39548075,0.41258326,0.4193132,0.41163862,0.39359105,0.3749486,0.3614094,0.35141513,0.34055093,0.3299859,0.32498804,0.32904136,0.33985996,0.35304645,0.36694917,0.38342166,0.4039668,0.42740253,0.44911003,0.46404243,0.4681759,0.46033326,0.4435426,0.423153,0.40571436,0.3927406,0.38290313,0.37098992,0.35345104,0.32743844,0.29463446,0.26116922,0.2369786,0.22988482,0.24138372,0.26606736,0.29561636,0.32251415,0.34282696,0.35678914,0.36819896,0.38119015,0.3972138,0.4132823,0.42429605,0.42516896,0.4130741,0.38680544,0.34730574,0.29797897,0.24534589,0.19776948,0.1618765,0.13986011,0.12833306,0.12258825,0.12087455,0.12774949,0.14937913,0.18716228,0.23423047,0.28134176,0.3253382,0.36961243,0.41792604,0.46590218,0.5036328,0.5193972,0.50631934,0.46358916,0.40208006,0.34369025,0.3157158,0.3335193,0.39220524,0.46653274,0.52879673,0.56082577,0.5624541,0.54436564,0.5200239,0.49717975,0.4766369,0.4556824,0.4315617,0.4037356,0.37206197,0.33696833,0.29894152,0.26014212,0.22339775,0.19137435,0.1658922,0.14851975,0.1424511,0.15015668,0.1713429,0.19879508,0.22423142,0.24303778,0.2598801,0.28074858,0.30744874,0.33553565,0.36319777,0.39395165,0.43122408,0.46889028,0.49294576,0.4912869,0.4638621,0.42094067,0.37735316,0.34491777,0.33018717,0.33295047,0.34674105,0.36251497,0.37191823,0.37057462,0.3569063,0.33324298,0.30744877,0.2912063,0.29419133,0.31545284,0.34594336,0.37386528,0.39238033,0.3980486,0.39034817,0.37127495,0.34560192,0.31758928,0.2874471,0.25271115,0.21297358,0.17277218,0.13915396,0.11652336,0.10428333,0.09834536,0.09494471,0.09225124,0.09023723,0.09121129,0.1017653,0.13396461,0.19653587,0.28630993,0.38212302,0.4600275,0.5054922,0.52249247,0.52093655,0.50880706,0.48905602,0.46593285,0.4459468,0.43137965,0.41710958,0.39547944,0.36801028,0.3461868,0.34095386,0.35035017,0.36195576,0.3643726,0.35684,0.3456881,0.3386625,0.33906356,0.34543,0.35000685,0.34349847,0.3233316,0.29969585,0.2905332,0.30671605,0.34375164,0.38395843,0.40992713,0.41337037,0.3985792,0.37664494,0.3578256,0.34436944,0.33166313,0.31458113,0.29475796,0.279099,0.2747607,0.2845398,0.30781022,0.34151208,0.3792243,0.41161573,0.42999873,0.43208718,0.4212961,0.40233967,0.37648442,0.34502122,0.31349012,0.29226315,0.28808632,0.2984626,0.31315133,0.32351613,0.32752702,0.3271053,0.32162085,0.30707672,0.28227592,0.25582638,0.24198814,0.2498918,0.2723085,0.29395458,0.3032413,0.3033409,0.30211982,0.30460742,0.3098078,0.3174111,0.32977092,0.34675348,0.36495057,0.37735984,0.37884727,0.3642607,0.33331776,0.29338604,0.26219183,0.25739756,0.28468227,0.3318888,0.37839195,0.40899792,0.42147908,0.42176342,0.41487193,0.40169978,0.38320366,0.36373815,0.3478309,0.33481812,0.31952372,0.29874724,0.275154,0.25488245,0.24191105,0.23725818,0.24054438,0.2532759,0.27634397,0.30796528,0.33955023,0.35938573,0.35869727,0.33981752,0.31511796,0.29766902,0.29114267,0.28932643,0.2848917,0.27746665,0.27143013,0.27071115,0.27416018,0.28022018,0.28777382,0.29772484,0.30804524,0.31397972,0.30788144,0.28489146,0.24703594,0.2057359,0.17650731,0.16998369,0.18485713,0.20922421,0.22955489,0.2388034,0.23860444,0.23370063,0.22671252,0.2167766,0.20243602,0.18446897,0.1645852,0.14448045,0.12470404,0.10707575,0.09370158,0.08608604,0.08304062,0.08225948,0.08183514,0.081463516,0.081348754,0.08176562,0.0851021,0.098782815,0.13458596,0.19805287,0.2789767,0.352316,0.39734635,0.4126711,0.41460362,0.4194032,0.4311669,0.44430923,0.45112678,0.44636282,0.42641172,0.39137736,0.3460332,0.29949978,0.26109794,0.23856653,0.23566084,0.2511702,0.2766086,0.29993355,0.3104087,0.30443025,0.28531304,0.26069283,0.23841633,0.22316082,0.21584047,0.2139423,0.21473223,0.21573038,0.21653563,0.21709828,0.21835704,0.21918796,0.2185545,0.21462451,0.2083571,0.19993782,0.1898746,0.17660324,0.16030437,0.14215647,0.12524478,0.111914076,0.10312898,0.09774505,0.09367771,0.08928847,0.08434714,0.079718806,0.0765039,0.075092025,0.07503644,0.07524347,0.07484502,0.07363739,0.07205632,0.07052911,0.069128655,0.06772452,0.06632384,0.06510369,0.06422234,0.06364524,0.063137315,0.06227712,0.060541764,0.05837523,0.060296576,0.077425055,0.12513705,0.21039121,0.32148862,0.42812935,0.5026508,0.53557366,0.5379458,0.52177936,0.48939645,0.4382756,0.3766369,0.32744655,0.3107281,0.3266823,0.3516848,0.35992476,0.3391737,0.29739547,0.25056684,0.21569143,0.20415042,0.22019953,0.2572939,0.30061206,0.33488476,0.3530405,0.35931042,0.3641704,0.3771988,0.40105546,0.4313351,0.45987985,0.48035356,0.49077633,0.4937216,0.49326432,0.4931151,0.49344382,0.49045244,0.47646067,0.44556627,0.39774415,0.34221137,0.29390475,0.26928717,0.27919257,0.32270864,0.38371074,0.43515494,0.45397377,0.43466067,0.3950498,0.3616933,0.35185698,0.3608632,0.3715948,0.37238958,0.36730978,0.36888587,0.38061622,0.39208218,0.38788223,0.3634454,0.3289999,0.3008528,0.29112014,0.30151427,0.32644057,0.355332,0.37872875,0.39050913,0.3912584,0.38577667,0.38102832,0.38135716,0.3864596,0.39055857,0.38631773,0.37184748,0.3531262,0.3408883,0.3396602,0.34647277,0.35345718,0.35593703,0.3496472,0.3313025,0.3017188,0.27421436,0.26817426,0.2953807,0.34774506,0.40539202,0.4502665,0.47592852,0.4837894,0.47779712,0.46328208,0.4472448,0.437696,0.43785575,0.44580352,0.45522925,0.46117055,0.46103093,0.45549527,0.44634712,0.43658578,0.42908356,0.4270858,0.4314619,0.44095054,0.45045078,0.45443305,0.4477931,0.42982233,0.40426716,0.3797531,0.3640616,0.35977566,0.36220083,0.36643696,0.37334922,0.38927922,0.4175878,0.4523048,0.48218003,0.4988071,0.5028978,0.49979386,0.4943441,0.48689356,0.47656727,0.46289578,0.44680133,0.4282591,0.4080473,0.38846743,0.37380186,0.36498353,0.3578937,0.34607494,0.3278594,0.3086618,0.2962366,0.29512525,0.3051484,0.32376283,0.34766945,0.37182263,0.39185593,0.40505812,0.41269204,0.41477212,0.40910625,0.39007008,0.35445324,0.30374622,0.24829799,0.20487235,0.19286825,0.22077358,0.28028426,0.3468938,0.39876226,0.42699254,0.4379206,0.4390292,0.43273997,0.41673014,0.39039728,0.35654783,0.319242,0.28331566,0.2545936,0.24022703,0.2437274,0.26171446,0.28376123,0.29958987,0.30359367,0.29650664,0.28084514,0.26040456,0.23888361,0.22085293,0.20810205,0.19994624,0.19367926,0.1878953,0.18213165,0.17668758,0.17285328,0.17520954,0.19199646,0.22979999,0.28569165,0.34383193,0.38411474,0.39700142,0.39093044,0.38514265,0.39273736,0.41269293,0.4336264,0.4456761,0.4450645,0.4321704,0.40837622,0.37722185,0.3459501,0.32238472,0.30932066,0.30409607,0.30259025,0.30429304,0.31011721,0.32038614,0.33297667,0.34652737,0.3599569,0.37232697,0.3812249,0.38510987,0.38395754,0.37970114,0.37418184,0.3691865,0.3659136,0.36511108,0.36589012,0.3660077,0.36295184,0.35473323,0.34073353,0.3208529,0.29644325,0.26832584,0.23730642,0.20383525,0.17189562,0.14940761,0.14563149,0.16367842,0.19659789,0.22975664,0.2495364,0.25047043,0.23660713,0.21672826,0.19901718,0.18809205,0.18545097,0.18940885,0.19658495,0.20268296,0.20627792,0.20771073,0.20769967,0.20414321,0.19535728,0.18329655,0.17341666,0.16976164,0.17047113,0.17028773,0.16435118,0.15219392,0.1360979,0.12019664,0.108458854,0.104195625,0.10870219,0.120145105,0.13393904,0.14458458,0.14953846,0.1505714,0.15158908,0.15370084,0.15367444,0.147795,0.13640684,0.12394848,0.11400672,0.106291026,0.09801506,0.08779869,0.07721253,0.06907168,0.0656909,0.067766346,0.075057946,0.08560971,0.09616035,0.102550454,0.10219555,0.09511883,0.083886035,0.072252385,0.06435422,0.0644686,0.07511616,0.09463697,0.115428485,0.12749922,0.124212675,0.10679086,0.0826646,0.060230374,0.044360667,0.035516985,0.03171805,0.030542651,0.030205483,0.02979025,0.029996045,0.034731608,0.051578104,0.08840295,0.14570737,0.21248436,0.27006224,0.30478707,0.31546736,0.312788,0.30996302,0.31675345,0.33763495,0.37179294,0.41377237,0.45281386,0.47866213,0.4856355,0.4762722,0.45608783,0.4288636,0.3974428,0.3696262,0.3610407,0.3846824,0.438743,0.5033086,0.5535948,0.5746748,0.5656996,0.5340312,0.4889218,0.4410987,0.40042856,0.3729588,0.3577634,0.35394803,0.36361602,0.39116168,0.4323226,0.4744784,0.50232655,0.509026,0.49596706,0.46855304,0.43358448,0.4009404,0.3849316,0.3954071,0.4303044,0.472394,0.5006531,0.49985468,0.46800455,0.4136753,0.3543993,0.3092136,0.29357776,0.31014296,0.35006037,0.39538988,0.42961717,0.44245067,0.4339787,0.412542,0.39141783,0.38452396,0.4012635,0.44164065,0.4943993,0.54130644,0.5673956,0.56723684,0.5459044,0.5120359,0.47337428,0.4340347,0.3962276,0.3625411,0.33718714,0.32489216,0.32584095,0.3346109,0.34259507,0.3463554,0.3483008,0.353094,0.36020306,0.3660698,0.3692583,0.37363243,0.38205013,0.39118075,0.39380267,0.3891848,0.38536504,0.39259955,0.4119992,0.43671694,0.45964113,0.48045143,0.5034113,0.52961046,0.55404174,0.5654594,0.5548484,0.5205278,0.47336748,0.4304161,0.4063116,0.40415505,0.41649672,0.43182936,0.44247755,0.44645718,0.44530198,0.44050565,0.43406686,0.42975995,0.43368113,0.4494094,0.47437978,0.4992002,0.5139184,0.5132083,0.49915776,0.47745493,0.45373964,0.42964146,0.40404186,0.37547266,0.34695363,0.32748148,0.32944882,0.3614783,0.42055848,0.49163774,0.55383927,0.5920406,0.60137916,0.58712006,0.55937356,0.52984685,0.50774175,0.49561116,0.48846593,0.4780546,0.46070704,0.44037724,0.42490876,0.41977867,0.42338803,0.42847538,0.42362782,0.4019892,0.36634746,0.33552644,0.33134317,0.36601546,0.42730936,0.49028626,0.53091216,0.5434115,0.53503203,0.519131,0.50339943,0.49197736,0.48541474,0.4840326,0.48245534,0.47282073,0.44842646,0.41307807,0.37697652,0.35075608,0.33841828,0.34211373,0.3638289,0.40442362,0.45643792,0.5058122,0.5364556,0.53812224,0.5082721,0.45535216,0.3983152,0.362366,0.36418772,0.401333,0.4506071,0.4856136,0.49063513,0.46967208,0.43666872,0.4080236,0.39194146,0.38914692,0.39386356,0.40270123,0.4170753,0.44181332,0.47594127,0.5093859,0.52693653,0.51920974,0.48900983,0.44960293,0.41514552,0.39251164,0.378862,0.36695048,0.35207734,0.3372029,0.33208323,0.34758198,0.3866016,0.4394792,0.486752,0.51006764,0.5014327,0.466624,0.4209877,0.38235018,0.36475435,0.37276137,0.40012243,0.43090954,0.4479535,0.44093743,0.41332188,0.37894544,0.35317627,0.34267274,0.34402943,0.34988084,0.35512683,0.3578,0.35597697,0.34819424,0.3350668,0.32026783,0.30740145,0.29792657,0.29126933,0.28751373,0.2891934,0.3008999,0.3249627,0.3579868,0.39027986,0.412828,0.4226991,0.42522597,0.42780867,0.43498027,0.44533563,0.4544404,0.45791176,0.45465684,0.44598606,0.43427122,0.42029572,0.40478006,0.3887961,0.3753467,0.3653845,0.35746193,0.34751394,0.33598685,0.32832825,0.33314303,0.3525221,0.3798605,0.402084,0.40875685,0.39723992,0.37361,0.3480923,0.33057144,0.32699338,0.33912662,0.36356685,0.39370477,0.4209249,0.43942976,0.4473907,0.44773126,0.44515634,0.44409254,0.4460982,0.4493815,0.45084572,0.4497232,0.44854674,0.4504921,0.45561805,0.46136093,0.46519887,0.46640515,0.4652209,0.4610732,0.45332888,0.44085732,0.42296258,0.3987378,0.36897257,0.33609855,0.30346093,0.27281964,0.24499488,0.22313482,0.21661378,0.23825353,0.2943593,0.37614134,0.4607178,0.52543026,0.5586369,0.56241333,0.5419894,0.50036067,0.4384276,0.3623556,0.28429624,0.21787788,0.17033607,0.14101885,0.123980306,0.113661356,0.106862284,0.103916846,0.107220285,0.11985103,0.14223988,0.17054027,0.19767393,0.217656,0.22887574,0.23457704,0.23967987,0.24751802,0.2571796,0.26446116,0.26472738,0.25716034,0.24531384,0.23432101,0.2265991,0.2212,0.21666491,0.21358807,0.21402346,0.21845181,0.22539675,0.23308448,0.24167843,0.2517164,0.26221904,0.27017882,0.2735174,0.27286732,0.2703938,0.26619324,0.25718364,0.24052672,0.2180473,0.19588028,0.17894043,0.16619849,0.15364732,0.14059745,0.1329422,0.13727917,0.15412037,0.17541467,0.18981178,0.18903033,0.17209737,0.14563385,0.12127191,0.110791124,0.12022539,0.14697985,0.18091194,0.21061534,0.2283674,0.23326312,0.22950836,0.22438593,0.22603941,0.23956843,0.26474223,0.29347286,0.31653777,0.32744685,0.32779023,0.32193103,0.3153589,0.3111932,0.3128407,0.32235712,0.339512,0.35917604,0.37334058,0.37557867,0.36550558,0.35018635,0.3392104,0.33966824,0.3509315,0.367085,0.37986645,0.38456997,0.38069555,0.37223288,0.36357173,0.3574829,0.35301992,0.34757176,0.33864608,0.32578203,0.3105671,0.2958248,0.2852045,0.28113547,0.2840258,0.29042467,0.29565117,0.29591903,0.29154262,0.28523126,0.28022978,0.27800015,0.27891478,0.28252307,0.2880729,0.29538405,0.30722308,0.32927862,0.3654926,0.41128537,0.45247626,0.47262916,0.4641775,0.4344398,0.4019991,0.38486457,0.38969806,0.40868333,0.42841864,0.4391949,0.44120315,0.43969825,0.44016585,0.44201073,0.43938282,0.42569587,0.400908,0.37463138,0.35830867,0.35620108,0.36047018,0.36109507,0.35396338,0.343539,0.3351731,0.33366767,0.34383854,0.37152055,0.41504875,0.46291208,0.4981381,0.511404,0.5048693,0.48870036,0.47238228,0.46103767,0.45554587,0.45434213,0.4544373,0.4524852,0.4467442,0.4384271,0.43115926,0.42857918,0.43254563,0.4426787,0.45640194,0.4695517,0.47733364,0.4773272,0.4706786,0.4617366,0.45414063,0.44877747,0.44329897,0.43491518,0.42203343,0.40535128,0.38739204,0.37136805,0.35957623,0.35107458,0.34388962,0.33708,0.33456063,0.34013328,0.35465583,0.37204453,0.3857299,0.3922347,0.39477956,0.39871082,0.40805075,0.42306447,0.44091046,0.45750478,0.46734342,0.4650308,0.4458941,0.4105722,0.36609033,0.3255842,0.30138364,0.30078492,0.32114938,0.35322568,0.38316154,0.40167704,0.4053221,0.39836946,0.38574848,0.37163022,0.35743415,0.34395543,0.3308747,0.317211,0.3024691,0.28923973,0.28341496,0.2905736,0.31085253,0.33830106,0.36607075,0.39105627,0.41330564,0.43118748,0.44073638,0.43923137,0.42924353,0.4169501,0.40777984,0.40296945,0.4007559,0.39878225,0.39638838,0.39391723,0.3917592,0.38941267,0.38627276,0.3820058,0.37701795,0.3723978,0.3709083,0.3754598,0.38713515,0.40230384,0.4153651,0.42166993,0.42104554,0.41552952,0.40828708,0.40101755,0.39492908,0.38950074,0.38404784,0.37739345,0.36989895,0.36230716,0.35574934,0.34996268,0.34424356,0.33767405,0.33023784,0.32231775,0.31472385,0.30879706,0.3060784,0.30765873,0.31226292,0.31732026,0.31994188,0.31984124,0.31808433,0.31644237,0.3152872,0.31448355,0.31322548,0.31074998,0.30651033,0.30145767,0.2980994,0.29875422,0.3031179,0.308082,0.31023526,0.30891514,0.30615836,0.30474684,0.305501,0.30725983,0.30817118,0.30716038,0.3045958,0.30124697,0.29808566,0.29531327,0.2927736,0.28963074,0.28522506,0.28097546,0.28193593,0.29521534,0.32403097,0.362769,0.3988944,0.42064002,0.423673,0.41068962,0.38695982,0.35707784,0.32470015,0.29352275,0.26648244,0.24502496,0.22845101,0.21550728,0.20537204,0.19843985,0.19475561,0.19334169,0.19203012,0.18924554,0.18454136,0.17845552,0.17152105,0.16460341,0.15910375,0.15740757,0.16195609,0.17596583,0.2011755,0.23623832,0.2722601,0.2962191,0.29621777,0.27079317,0.22962297,0.19036932,0.16924052,0.17553781,0.20712872,0.2535192,0.29890892,0.33081034,0.3431312,0.3387092,0.32387567,0.30498254,0.28473482,0.26326075,0.23944463,0.2133931,0.18768698,0.16757189,0.1582012,0.16104561,0.17152567,0.18151319,0.18440314,0.17900799,0.16848464,0.1563673,0.1439275,0.13138181,0.12020913,0.1140095,0.11623684,0.12931232,0.153865,0.18953352,0.23149955,0.26969245,0.2898483,0.28259227,0.24898595,0.20297836,0.16418219,0.15183972,0.17612834,0.23468749,0.3100214,0.37812257,0.41938934,0.42894283,0.41446614,0.3886579,0.36136568,0.33784422,0.32002828,0.30801725,0.30053234,0.29530105,0.2900282,0.28354004,0.27614188,0.26895842,0.2629696,0.25803062,0.25265417,0.24391258,0.2286367,0.20503955,0.17526396,0.1469336,0.13259293,0.14439534,0.18634428,0.24848197,0.31016943,0.3499527,0.35650134,0.3318541,0.28821644,0.24131316,0.20529078,0.1897858,0.19772112,0.2246042,0.2589186,0.28766915,0.30186424,0.30070177,0.2885908,0.2713708,0.2527718,0.23470074,0.21708508,0.19844484,0.17709865,0.15395325,0.13432749,0.1253409,0.1312093,0.14874966,0.16957562,0.18482828,0.19057076,0.18770717,0.17995793,0.17126136,0.16518678,0.16443294,0.17024018,0.182127,0.19884805,0.21932279,0.2428958,0.2683432,0.29365483,0.31637433,0.3351265,0.35043016,0.36491272,0.38202098,0.40431616,0.4313486,0.45858434,0.47814867,0.4824133,0.46892586,0.44284892,0.4146433,0.3931096,0.3800623,0.3695831,0.35399768,0.33055434,0.30513608,0.2885874,0.28894982,0.30500767,0.32666865,0.3421855,0.3453132,0.33799434,0.32633317,0.315799,0.30782163,0.3007994,0.29217315,0.28091452,0.26791558,0.25471333,0.24161272,0.22690429,0.20912963,0.18940602,0.17224084,0.16300371,0.16538595,0.17960447,0.20199542,0.2250526,0.2393968,0.23703457,0.21534002,0.17946546,0.14180343,0.11796137,0.11814577,0.14097162,0.17214322,0.19433738,0.1974994,0.18476681,0.16684555,0.15366979,0.1495772,0.15491469,0.16838826,0.18729474,0.20605151,0.21879761,0.22212535,0.21767537,0.20916967,0.20044531,0.1936224,0.18920846,0.18617737,0.18282926,0.17999184,0.18095033,0.18953423,0.20352463,0.21484177,0.21237458,0.19126593,0.15536444,0.117316194,0.090703994,0.08565092,0.10325252,0.13724063,0.17517948,0.20609283,0.22393341,0.2305941,0.23137073,0.23219669,0.237217,0.25009894,0.27251157,0.30236712,0.33199036,0.35235223,0.35790563,0.35063708,0.3370327,0.32410887,0.31508592,0.30916438,0.3018134,0.28753138,0.26341167,0.23366453,0.20924346,0.20253229,0.21815991,0.25001514,0.28438434,0.30949515,0.31977606,0.31555447,0.29885364,0.27318183,0.24602354,0.22746666,0.22476377,0.23495345,0.24737573,0.249986,0.23819454,0.2152828,0.1907479,0.17532505,0.17683299,0.19666524,0.22835593,0.26261023,0.291572,0.3134785,0.32979,0.3435986,0.3565456,0.36884555,0.37837687,0.38152525,0.3755449,0.36157715,0.34533155,0.3339331,0.33144876,0.3366106,0.34442076,0.34975758,0.34998366,0.34553397,0.33829382,0.33020785,0.32172504,0.31216905,0.29985738,0.28335798,0.2620764,0.2371109,0.21327321,0.19966047,0.20908557,0.24688388,0.30363014,0.35264394,0.37046686,0.35174945,0.31472602,0.28193912,0.26594183,0.26458773,0.27068374,0.27870545,0.28630075,0.29203084,0.2943664,0.29284,0.28798476,0.28184736,0.27641317,0.2742792,0.27647844,0.28236368,0.28853676,0.29171893,0.2906169,0.28668246,0.2822754,0.2782909,0.2746282,0.27015188,0.26508215,0.25922465,0.253719,0.24857931,0.24493688,0.24206628,0.23961551,0.23566563,0.23023392,0.22355108,0.21737617,0.21212769,0.20793365,0.2042345,0.20078357,0.19752568,0.19565773,0.19989043,0.21837272,0.255339,0.30334565,0.34140563,0.35067222,0.32718053,0.2862409,0.2472976,0.22328411,0.21711732,0.22826582,0.2548341,0.292069,0.3306322,0.36033615,0.37564817,0.3779266,0.37204847,0.3621224,0.3503684,0.3393323,0.3322971,0.33103368,0.33282578,0.33218145,0.32522845,0.31358823,0.30473897,0.30768225,0.32862344,0.36282918,0.39669338,0.4115202,0.39982232,0.36629152,0.3264545,0.29207847,0.26941022,0.257993,0.25537774,0.25733653,0.25965345,0.25981298,0.25820032,0.25655887,0.25640035,0.25764835,0.26032993,0.2645661,0.27043346,0.27598003,0.27783248,0.27386707,0.26521525,0.25581083,0.2486885,0.2446469,0.24219756,0.24024522,0.23813319,0.23650193,0.23552848,0.23589523,0.23668586,0.2369362,0.23453052,0.22937651,0.22239174,0.21609758,0.21165498,0.20908006,0.20728631,0.20564127,0.20386584,0.20264731,0.20491292,0.21708001,0.24437487,0.2833252,0.31784558,0.32904938,0.30967292,0.27074572,0.23178804,0.20695607,0.1989752,0.20487331,0.22178078,0.24876396,0.28227195,0.31579745,0.34088412,0.3527725,0.3515601,0.3422216,0.33058056,0.32112738,0.31527424,0.31219813,0.30947202,0.30534044,0.29955772,0.29373336,0.2904209,0.2931465,0.30792758,0.3384569,0.38129747,0.42005205,0.43686748,0.4230893,0.38863575,0.3510871,0.32492527,0.3129748,0.31088564,0.31244874,0.3143085,0.31526425,0.3152382,0.3135457,0.3098993,0.3051927,0.3020526,0.30305508,0.30796883,0.3137389,0.316184,0.3142774,0.3098038,0.30621746,0.30515695,0.30637893,0.3080747,0.30801466,0.30481696,0.29861137,0.29168373,0.2866024,0.28488013,0.28539583,0.285545,0.2826719,0.27622595,0.2678897,0.260527,0.25628996,0.255537,0.25720203,0.25953293,0.26117697,0.26328713,0.27028456,0.29004613,0.32381102,0.36317667,0.38780856,0.38553336,0.35728154,0.32070017,0.2898985,0.27179077,0.26325,0.26078057,0.2602502,0.2580719,0.2510491,0.23932977,0.22604881,0.21477611,0.2068494,0.20171517,0.19850208,0.19688077,0.19642837,0.19620621,0.19516711,0.1926979,0.18802905,0.1798402,0.16985399,0.16707218,0.1881202,0.242101,0.32004014,0.39272365,0.43637505,0.4451501,0.4355111,0.42399177,0.42067623,0.42546713,0.43701518,0.4522047,0.46700382,0.47670695,0.47882524,0.4743265,0.46590677,0.45646086,0.44844553,0.44450107,0.4461449,0.45179102,0.45612225,0.45369455,0.44265112,0.4261951,0.40895614,0.39410606,0.38209435,0.3724291,0.36468717,0.35854653,0.35346237,0.34850165,0.34271827,0.33535555,0.326069,0.31539974,0.30466688,0.29572368,0.2899743,0.2878683,0.28901574,0.29266956,0.2980194,0.30553284,0.3182286,0.34305844,0.38389054,0.43448532,0.47467253,0.4842731,0.45771873,0.40991464,0.3630241,0.33198622,0.31877115,0.31818953,0.32325336,0.32844415,0.32890177,0.32317284,0.31259558,0.30124304,0.2926567,0.29038438,0.29824236,0.31844577,0.3463076,0.36916897,0.37283206,0.3537252,0.3219472,0.29675683,0.29538774,0.32720527,0.39007834,0.46728778,0.53278774,0.5606521,0.5438213,0.49382618,0.43287957,0.37377802,0.31793466,0.26055714,0.20219673,0.14893918,0.1083164,0.08426904,0.07749542,0.08628278,0.10640284,0.12994832,0.14799182,0.15648115,0.16025656,0.16899963,0.18701665,0.20652151,0.21283494,0.19865751,0.17423397,0.16395994,0.18850897,0.25066075,0.33054662,0.40007913,0.4350274,0.42776403,0.38498035,0.32550916,0.26741853,0.22118993,0.18612272,0.16036643,0.14666933,0.15188688,0.17638274,0.21154825,0.24361666,0.2640597,0.27192047,0.2723669,0.26987338,0.26495048,0.25256577,0.22736835,0.18897481,0.14672728,0.11430173,0.10368874,0.116939284,0.14784144,0.18354966,0.21258847,0.22830574,0.23244618,0.23170923,0.2340736,0.24489856,0.2653202,0.29218206,0.31938985,0.3422959,0.35985556,0.37379825,0.38308764,0.38319138,0.36888567,0.34349537,0.32012853,0.31926775,0.349967,0.4011235,0.43941775,0.43781248,0.39360318,0.33410442,0.29003772,0.27571014,0.28321704,0.29549214,0.2999164,0.29215547,0.27601162,0.25749952,0.24404587,0.23898177,0.24246705,0.24998622,0.25868773,0.26802394,0.2814227,0.30098704,0.32731506,0.35815057,0.39131138,0.42370543,0.45102558,0.46658096,0.4627891,0.43527362,0.3867731,0.32921052,0.27941945,0.25069672,0.2447281,0.25168228,0.2584621,0.25865945,0.25446448,0.2531751,0.2600949,0.2762659,0.29625514,0.31033477,0.30840436,0.28976664,0.26835656,0.2696505,0.3070164,0.36811876,0.41288614,0.4112545,0.36111188,0.29568475,0.248594,0.23797841,0.25668612,0.28780496,0.31453958,0.329012,0.33271483,0.3320489,0.33196056,0.33110446,0.32440576,0.3098617,0.29471758,0.29211137,0.31110513,0.34802136,0.38989493,0.42410377,0.4450045,0.45288524,0.4502705,0.4447194,0.44594702,0.4623077,0.48795286,0.50880927,0.5107604,0.49494985,0.47243932,0.45612708,0.45014325,0.45101747,0.45154807,0.4460334,0.43288183,0.4151729,0.39866993,0.3883573,0.38562167,0.38785568,0.39063075,0.39039537,0.38616213,0.3786358,0.36909166,0.3582642,0.34696627,0.33622423,0.32742354,0.32168055,0.31959352,0.3206457,0.3230975,0.3241466,0.32189488,0.31669417,0.311083,0.3070587,0.3043045,0.30138746,0.29851887,0.29834184,0.30295375,0.3111575,0.31865284,0.3213873,0.31776142,0.31111774,0.3095928,0.32549134,0.3626503,0.40862107,0.43411544,0.41772774,0.3626066,0.2974479,0.25191197,0.2384591,0.2503182,0.27288973,0.29459375,0.30885804,0.31377038,0.3091189,0.29702577,0.28032932,0.26265827,0.24613117,0.2323162,0.22303951,0.2217742,0.23194034,0.25398672,0.2841679,0.31547877,0.34222266,0.36347258,0.38513732,0.41451406,0.45130718,0.4827973,0.49061096,0.46734777,0.42309988,0.3795009,0.35176024,0.34279707,0.3461466,0.35562205,0.3677423,0.37998495,0.39031926,0.39760306,0.40384555,0.4108512,0.41921356,0.42592874,0.4273195,0.4202968,0.4052137,0.38520005,0.36487958,0.34722102,0.3329438,0.3210722,0.31133017,0.30441192,0.30204594,0.30556569,0.3153572,0.33034533,0.34789875,0.36442626,0.3760556,0.38042188,0.37812912,0.37273097,0.3689109,0.3691492,0.37278664,0.37674275,0.37802383,0.37514827,0.37076667,0.37196565,0.38919854,0.42322457,0.4612664,0.47725582,0.4572885,0.40661767,0.34997627,0.3075824,0.28789273,0.28729054,0.29912654,0.31831694,0.34060106,0.36401105,0.3856578,0.40289032,0.41060546,0.40450314,0.38238284,0.34858325,0.313754,0.2926564,0.2960316,0.32546064,0.3702116,0.41386536,0.441712,0.45107624,0.45166504,0.4592228,0.47967586,0.502562,0.5071259,0.48237503,0.43600103,0.38817823,0.3534124,0.3333179,0.3211298,0.31161276,0.30396193,0.2992501,0.2968949,0.29543704,0.29400077,0.29395965,0.2964739,0.30196583,0.3090162,0.31644058,0.32262087,0.3259934,0.32626626,0.32700214,0.3353386,0.35583147,0.38469914,0.40928817,0.41660476,0.40167615,0.37113547,0.3374767,0.31253773,0.3014507,0.30334806,0.31240502,0.32219875,0.32746732,0.32575157,0.31634244,0.29976144,0.27912477,0.2604641,0.25049257,0.25334024,0.27001128,0.30266294,0.34856936,0.39659536,0.4223274,0.40951335,0.36045682,0.2999123,0.25070927,0.22224449,0.20893417,0.20327866,0.20063818,0.19879167,0.19482715,0.18755323,0.17795533,0.16929448,0.16280526,0.15983921,0.16411574,0.18530796,0.23106687,0.2997589,0.3751591,0.43908593,0.48067984,0.50278896,0.5131769,0.5205762,0.53200316,0.5490467,0.5646517,0.56185603,0.5302513,0.47388288,0.41430095,0.37130943,0.35270417,0.34931597,0.34773943,0.3394246,0.32597765,0.31256926,0.30284473,0.29610875,0.29072294,0.2858365,0.2819209,0.2806598,0.28365135,0.29230985,0.30467823,0.3171867,0.32408953,0.32178268,0.3092995,0.29100958,0.2740357,0.26413903,0.26122403,0.26033473,0.25749066,0.25420913,0.25533727,0.26346394,0.27630043,0.29109627,0.30806684,0.32903695,0.35203123,0.37121865,0.3814663,0.3818179,0.37337005,0.35780695,0.34050646,0.3345586,0.3514062,0.3879621,0.41946864,0.42005467,0.38250408,0.32646105,0.2766501,0.24558301,0.22988383,0.22516958,0.2328378,0.25521818,0.28524217,0.30843553,0.31455806,0.30591515,0.29360536,0.2857894,0.2844234,0.28885567,0.30133522,0.32410014,0.35381484,0.38227162,0.40090927,0.4056914,0.39775738,0.3838496,0.37960616,0.39840686,0.4441452,0.49740347,0.5368199,0.54810554,0.540452,0.52656955,0.51668006,0.50867105,0.49851298,0.48342356,0.46473727,0.4443406,0.42332682,0.4018421,0.38038942,0.3602045,0.34341243,0.33265373,0.32936668,0.3323939,0.33762014,0.34120122,0.34128127,0.3381547,0.33205736,0.3233147,0.3131067,0.30385366,0.2971202,0.2929528,0.29041687,0.2897574,0.2914934,0.2953452,0.29968575,0.30422723,0.31095263,0.3229197,0.34085822,0.36228976,0.38141668,0.3906051,0.3828629,0.35859445,0.33022374,0.31942633,0.34067178,0.38726756,0.42978886,0.43854594,0.40451252,0.34611973,0.2904618,0.25464556,0.23857035,0.23401459,0.23270638,0.23003429,0.22271316,0.21066947,0.19630243,0.1847716,0.17873196,0.17795347,0.17942303,0.18090515,0.18135826,0.18089838,0.17994218,0.18043055,0.18637542,0.20325273,0.23518729,0.282437,0.34269714,0.40820137,0.46917582,0.51049453,0.5261498,0.5177446,0.5001416,0.48338604,0.47213793,0.46136597,0.44807658,0.43249944,0.41858467,0.40844384,0.4009628,0.39380762,0.38559592,0.3776103,0.37117687,0.3682789,0.36923146,0.3745828,0.38254425,0.39114103,0.39695683,0.39794627,0.39320138,0.38472545,0.37580383,0.36901948,0.36430526,0.35969272,0.35413864,0.3484659,0.34427437,0.3416263,0.33885863,0.33437422,0.32803807,0.3214234,0.31601968,0.3124412,0.31012163,0.30844355,0.30690756,0.30642673,0.3105422,0.32695004,0.36138025,0.40863097,0.44796923,0.45586082,0.4246397,0.3692286,0.3139306,0.27461252,0.25393662,0.2481407,0.25225762,0.26063976,0.2655925,0.26285985,0.2529914,0.24132867,0.23258422,0.23147203,0.24388927,0.27439997,0.3206934,0.369379,0.40527165,0.42088714,0.4221886,0.41798556,0.41312253,0.40618232,0.402104,0.40825868,0.43048778,0.45554104,0.46635816,0.44994295,0.41452363,0.37333763,0.33787572,0.30933774,0.28716135,0.27233902,0.26698092,0.27087274,0.27985924,0.28983223,0.29977992,0.31351578,0.33614075,0.37006915,0.41082227,0.44802964,0.4693849,0.46943364,0.45227587,0.43070075,0.41635287,0.41380975,0.41699874,0.4139094,0.39453813,0.35739955,0.31254342,0.2756324,0.26210657,0.27865085,0.32024702,0.36932954,0.4030803,0.4055016,0.37682185,0.33355036,0.29620695,0.2772566,0.27460203,0.27799764,0.2809527,0.28889155,0.31452727,0.35919997,0.40521732,0.42360556,0.40178028,0.35069072,0.29713538,0.26040205,0.24655984,0.25124884,0.2664776,0.28369632,0.2948842,0.29806197,0.29709852,0.29979786,0.30983767,0.32443902,0.3356984,0.3383812,0.33320943,0.32675335,0.32363042,0.32494166,0.32766888,0.33019778,0.3332925,0.34132102,0.36217895,0.3995552,0.44854498,0.4898757,0.5074664,0.4965843,0.47178558,0.44809148,0.4333383,0.4230505,0.4130019,0.4032023,0.3988807,0.40235707,0.41151047,0.42051038,0.42546126,0.42548993,0.42250836,0.41904774,0.41683066,0.41619214,0.41584733,0.41462383,0.41190982,0.40812457,0.40222862,0.39235568,0.37591848,0.3547434,0.33367252,0.3195317,0.31405318,0.316236,0.32513416,0.34375596,0.374119,0.41209304,0.44826806,0.47384414,0.4860321,0.48615107,0.47682372,0.4595805,0.43600798,0.40790173,0.38021922,0.36173025,0.365319,0.39386702,0.43470612,0.45778394,0.4433509,0.39241764,0.33058167,0.28119567,0.25544128,0.24949141,0.25681332,0.272115,0.29065982,0.30749035,0.31901577,0.32567707,0.33014485,0.33424056,0.3372427,0.33719838,0.33353397,0.32771042,0.3232509,0.32435405,0.33538103,0.3577111,0.3891858,0.42420793,0.45937827,0.4927411,0.5218215,0.53837293,0.534332,0.50855994,0.47032323,0.43163386,0.39953855,0.3752027,0.35826907,0.35013807,0.35148048,0.35992432,0.3696927,0.37557232,0.3751386,0.37013397,0.36403564,0.36072388,0.3607956,0.36196876,0.3594779,0.3514719,0.33937263,0.32743046,0.31783095,0.31141543,0.3092281,0.3155022,0.33351246,0.36095822,0.38707063,0.40062818,0.3988361,0.39157256,0.39200497,0.40550742,0.4250361,0.43887678,0.43957996,0.4278655,0.40847227,0.38662755,0.36598822,0.34967175,0.3410678,0.3442242,0.36250493,0.3918873,0.41972527,0.4293038,0.4160516,0.3902047,0.37003973,0.36430526,0.37015966,0.3787452,0.38499808,0.38871774,0.392123,0.39756358,0.4061495,0.417389,0.42854404,0.43592098,0.4359263,0.42607543,0.40529,0.37547413,0.34066236,0.30601045,0.27314156,0.24234332,0.21579982,0.20359391,0.21922982,0.26523232,0.324352,0.36338928,0.36098775,0.31936255,0.26372918,0.21568948,0.18410976,0.16411437,0.15021978,0.13963054,0.13265859,0.12957732,0.13056804,0.13534145,0.14267327,0.14901154,0.14999665,0.14364335,0.13331932,0.12546189,0.12447039,0.12895244,0.1330145,0.13026272,0.11778397,0.09791147,0.07879579,0.07126353,0.084243186,0.11812141,0.16369669,0.20521897,0.22933416,0.23090948,0.21461278,0.18990475,0.1651477,0.14488505,0.13006978,0.12046159,0.1141055,0.10796765,0.09841462,0.08444974,0.06886373,0.0568795,0.052784134,0.05711663,0.06723117,0.079292215,0.09076798,0.10051155,0.10772411,0.11091096,0.108389735,0.10008221,0.088995725,0.081001185,0.082411,0.09590755,0.11794261,0.13895847,0.14845403,0.14057623,0.11752531,0.087430656,0.059163664,0.03813789,0.025060868,0.018138546,0.014882256,0.013619718,0.016392745,0.031510904,0.07494741,0.15595116,0.2659376,0.370581,0.4354657,0.44532737,0.41762936,0.38064918,0.3568639,0.35183266,0.36265337,0.38341507,0.40867367,0.43151334,0.4467981,0.45207927,0.44939795,0.44002524,0.4254367,0.40933105,0.40113354,0.41024017,0.43709734,0.4712642,0.49851084,0.51098984,0.5080591,0.4928527,0.46882308,0.44151747,0.41726872,0.39966366,0.38646838,0.3757334,0.3702614,0.37752333,0.3988155,0.42724183,0.4505229,0.46130672,0.45744523,0.4409999,0.41600946,0.3903896,0.37468335,0.37644795,0.39656207,0.42972922,0.4685606,0.5019869,0.5158751,0.49750206,0.44915697,0.3895341,0.3454945,0.332535,0.34917235,0.37963068,0.40539873,0.4130071,0.39848852,0.3698152,0.34209612,0.33186993,0.34669957,0.38345245,0.42959478,0.47144186,0.49909508,0.50949293,0.5049237,0.49128664,0.47408685,0.45576015,0.43661812,0.42046437,0.41910648,0.44085887,0.479704,0.5093845,0.50889003,0.47710553,0.43661678,0.40673935,0.3922398,0.38477743,0.37913468,0.37595153,0.37694684,0.37908497,0.37901875,0.37807202,0.38219,0.3949908,0.41392604,0.43389308,0.45217595,0.47019804,0.48797837,0.50211126,0.50530064,0.49181485,0.46040392,0.41712496,0.37320462,0.34023723,0.3241972,0.3236873,0.33265924,0.34572804,0.3591168,0.3708416,0.3779223,0.37986246,0.37889096,0.38175166,0.39324936,0.4134301,0.43499386,0.4492363,0.45057857,0.44216785,0.43406406,0.4390869,0.46165422,0.49131998,0.505927,0.48821834,0.4421527,0.39146256,0.36320138,0.36843756,0.4003452,0.44339505,0.48420107,0.514174,0.5277434,0.52271897,0.50192183,0.47321963,0.44557166,0.42418933,0.40983748,0.40066263,0.39545307,0.39357245,0.39446226,0.39619228,0.39488563,0.38490903,0.36337236,0.33716956,0.32584724,0.34976795,0.41209593,0.48968318,0.54900384,0.57007384,0.55853224,0.5341737,0.5131165,0.50030357,0.4937744,0.49050638,0.48682106,0.47684765,0.45580864,0.42434052,0.3907411,0.36507007,0.35327482,0.3558718,0.36996529,0.39349723,0.4222081,0.45128575,0.4726049,0.48025993,0.47092617,0.44857538,0.42310372,0.40780702,0.4118024,0.4346086,0.46529266,0.48926583,0.49631038,0.48626658,0.46655956,0.4471333,0.434285,0.42996827,0.43272552,0.44119966,0.45473924,0.47289845,0.49297062,0.51078063,0.52479047,0.5388586,0.5578408,0.577635,0.5844322,0.56467086,0.5200077,0.4657615,0.42138043,0.39790788,0.3984171,0.4191891,0.45128462,0.48113748,0.49485824,0.48624012,0.45897976,0.42590526,0.40052795,0.39183757,0.39857543,0.41251883,0.42235005,0.42146385,0.40831742,0.38780093,0.36741865,0.35695222,0.36395815,0.39192906,0.43908474,0.49531427,0.54462194,0.5665617,0.5530741,0.5106783,0.46082306,0.41993698,0.39447618,0.37960365,0.37071642,0.366915,0.37117806,0.38496625,0.40555385,0.42616856,0.43969926,0.4430889,0.4389677,0.43448326,0.43500718,0.44118583,0.447762,0.4505259,0.44838452,0.4445088,0.44050214,0.43608978,0.4290912,0.41890004,0.40633723,0.39349103,0.38309953,0.37849173,0.38268176,0.3958715,0.41452762,0.4328363,0.44613755,0.45222113,0.4507697,0.4425396,0.43063653,0.42039123,0.41697696,0.42241856,0.4363648,0.45968652,0.49186826,0.5264624,0.5481584,0.5450409,0.5182005,0.48278233,0.45383903,0.437407,0.43142152,0.4323295,0.4373156,0.44280508,0.4447147,0.4414252,0.434373,0.42647204,0.41915393,0.41306475,0.40854457,0.40586248,0.40370348,0.39974308,0.39327863,0.386974,0.38495895,0.3895364,0.40116528,0.42266867,0.4581604,0.50622016,0.55269295,0.5780256,0.57245237,0.5439926,0.50872266,0.47428825,0.4350991,0.38215947,0.3157811,0.24797331,0.1932088,0.1586064,0.14052932,0.1302843,0.1209465,0.11145199,0.105944104,0.11026166,0.12842424,0.15887778,0.19512749,0.22811468,0.2523013,0.26735952,0.27749476,0.28633258,0.29481116,0.3010517,0.30344224,0.30217293,0.29929104,0.29668713,0.294533,0.29136565,0.28592077,0.27937797,0.275416,0.27816653,0.28919542,0.30660728,0.32646266,0.34527728,0.36117128,0.3738016,0.38324246,0.38966766,0.3923584,0.3894992,0.37804547,0.35544488,0.3228708,0.28515148,0.249089,0.21741647,0.19141078,0.17310007,0.16970281,0.18547137,0.21658456,0.24883457,0.2674606,0.2637305,0.23930085,0.20289077,0.16777456,0.14594463,0.143885,0.15893908,0.18199246,0.20313893,0.21754885,0.22650804,0.2366575,0.2572814,0.29790962,0.3584747,0.425356,0.47334144,0.4856812,0.4633377,0.4256127,0.3913547,0.37077165,0.36192334,0.35936067,0.35777855,0.35585788,0.3541477,0.35358998,0.3534449,0.35339677,0.35526428,0.36270162,0.37700424,0.39411795,0.40639463,0.40770575,0.3981754,0.38309947,0.3692784,0.3601562,0.35547045,0.35266313,0.34984398,0.34593758,0.3406603,0.33368614,0.32638857,0.32060197,0.3178271,0.31585792,0.31148735,0.3025576,0.29109383,0.28067687,0.27393842,0.27129138,0.27139857,0.27291,0.2763838,0.2872195,0.3157573,0.36696282,0.4317808,0.48359236,0.49816942,0.468935,0.41551742,0.36719558,0.34633112,0.35693225,0.38747463,0.42176786,0.44735706,0.46086228,0.46357343,0.45884657,0.44729164,0.42929527,0.40634498,0.38512325,0.37391874,0.3766974,0.38718262,0.3934435,0.3888767,0.3769882,0.3660954,0.36054567,0.36434212,0.38575813,0.43264866,0.4982001,0.55819166,0.5900232,0.5892255,0.5714775,0.55293226,0.5409765,0.53231275,0.5229738,0.5097527,0.49142572,0.46676695,0.43729663,0.4073707,0.38361147,0.37098756,0.3713707,0.38253656,0.3995116,0.41569278,0.4259777,0.42874828,0.4258347,0.41957083,0.41126075,0.40206316,0.39449278,0.39124513,0.39280927,0.3972796,0.40274993,0.40913758,0.41739598,0.4277854,0.43965855,0.45162857,0.46168038,0.46651784,0.4637601,0.45376745,0.44124308,0.43195507,0.4304136,0.43829075,0.45655623,0.4859004,0.5230393,0.55776316,0.5735502,0.5589438,0.5146116,0.45544687,0.3997508,0.36124018,0.34512696,0.35036764,0.3719261,0.40073428,0.4264036,0.44047704,0.44132963,0.4326191,0.42033824,0.40780774,0.39584994,0.38293388,0.36822167,0.35226676,0.3390602,0.33407965,0.34103164,0.35871947,0.3827834,0.41213778,0.4479191,0.48792043,0.51787096,0.52092594,0.49044344,0.439761,0.39094308,0.36038825,0.35039392,0.3536357,0.3612657,0.36743578,0.3700057,0.36875477,0.3648297,0.359875,0.35639882,0.3566067,0.36274424,0.37429336,0.38836834,0.3985877,0.4005653,0.3933154,0.38106325,0.36864886,0.3597075,0.35564673,0.35678875,0.3622643,0.36959684,0.37541392,0.3778642,0.37733746,0.37578115,0.3739679,0.37157652,0.3679806,0.36331344,0.35804608,0.3524603,0.347296,0.34401703,0.34368727,0.346855,0.3547822,0.37237886,0.40410233,0.4454862,0.4797084,0.48660657,0.46098876,0.41539648,0.3713288,0.3416505,0.32972595,0.33353558,0.35010222,0.3732829,0.3928511,0.4015791,0.39904234,0.39194453,0.38583007,0.3827282,0.3809825,0.37928185,0.37670183,0.37298906,0.3677365,0.3620055,0.35673928,0.3519461,0.34408852,0.3301901,0.31128278,0.29515442,0.2902402,0.29860303,0.31350112,0.32486403,0.32703567,0.32053745,0.3090595,0.29479605,0.27812994,0.2594255,0.24092953,0.22527911,0.21308392,0.2019272,0.18914127,0.17435925,0.15954858,0.14626996,0.1342781,0.12239895,0.110326506,0.09954628,0.09307352,0.09384457,0.10257041,0.116670966,0.13287379,0.15060116,0.1721585,0.197931,0.22161932,0.23203708,0.2206495,0.18966113,0.15239756,0.12651856,0.12385663,0.14524215,0.18171448,0.22116987,0.2534664,0.2734045,0.27937588,0.27274346,0.2562713,0.23407912,0.2101277,0.18730147,0.16705103,0.15001632,0.13680536,0.12799014,0.12423822,0.12601988,0.13279785,0.1423027,0.15108003,0.15626484,0.15677,0.15313055,0.14725178,0.14166194,0.13901897,0.14062442,0.14753176,0.1608463,0.18198866,0.20874149,0.2341742,0.24790744,0.24250157,0.21805187,0.18381535,0.15493853,0.1461051,0.16488767,0.2070146,0.2580118,0.30009997,0.32153368,0.32094574,0.30521455,0.28362462,0.2634215,0.2486219,0.24008362,0.23616034,0.2332923,0.22821534,0.21990836,0.21030326,0.20214789,0.19702251,0.19476236,0.19467539,0.19507979,0.19275631,0.18329924,0.1650126,0.14174634,0.122836895,0.11895913,0.13599779,0.17158915,0.21436767,0.25047016,0.26918283,0.26830947,0.25203112,0.22788997,0.20313065,0.1841353,0.1766832,0.18439446,0.20595104,0.23328865,0.2550291,0.26292777,0.25617084,0.2404037,0.22256203,0.20673878,0.19271028,0.17776488,0.16031767,0.14192681,0.12774628,0.12243519,0.12790594,0.14096539,0.15615073,0.167853,0.17370795,0.17453782,0.17376818,0.17532839,0.18277371,0.19795597,0.22054277,0.24744672,0.27456293,0.29844424,0.3181076,0.3339987,0.34698597,0.35687885,0.36336076,0.36648297,0.3675033,0.36761677,0.36708674,0.364485,0.35740054,0.34361622,0.32253227,0.29704937,0.2730316,0.2565489,0.24813013,0.24172099,0.22838067,0.20458438,0.17558832,0.15269874,0.14492403,0.15294646,0.16866319,0.18154101,0.18589415,0.18438421,0.18416233,0.19042319,0.20218785,0.21426658,0.22180952,0.22348414,0.22108586,0.21684991,0.2115858,0.20439143,0.19439459,0.18210177,0.16955514,0.16006453,0.15739827,0.16493557,0.18237112,0.20379741,0.21846038,0.21649007,0.19509314,0.16163792,0.1307006,0.115968406,0.12230843,0.14293654,0.1650911,0.17864424,0.18132941,0.1770062,0.17060769,0.16613518,0.16625762,0.17293774,0.18485647,0.19802685,0.2078638,0.21298234,0.21481991,0.2154821,0.21567011,0.21449655,0.21040617,0.202599,0.1941539,0.19229704,0.20510675,0.23307681,0.26610717,0.28693604,0.28182885,0.24873348,0.19912975,0.15207304,0.12332227,0.117456816,0.12653364,0.13731393,0.13934946,0.12992305,0.11292524,0.095194794,0.08316253,0.08201752,0.096614,0.13007243,0.18039644,0.23675002,0.28353593,0.30833304,0.3098861,0.2963173,0.27874395,0.26409099,0.25347808,0.24336787,0.22862338,0.20654784,0.1804261,0.15937896,0.15284984,0.16384886,0.18732822,0.21376514,0.23505934,0.24667163,0.24709623,0.23707642,0.21967715,0.20203823,0.19195418,0.19425069,0.20526312,0.2163287,0.21902944,0.21174742,0.19862461,0.1867008,0.18167824,0.18707465,0.20232998,0.22433984,0.24851523,0.27316836,0.29914996,0.32860294,0.36097968,0.39255288,0.4178672,0.43282828,0.43616655,0.42881247,0.41235676,0.3885938,0.3604094,0.33232918,0.30920884,0.29386744,0.28590643,0.28315225,0.28409538,0.28899732,0.29820076,0.3099551,0.31971514,0.3226484,0.31806925,0.31308755,0.32200146,0.3565314,0.4145403,0.47512805,0.5120964,0.5118552,0.48221925,0.44317463,0.411253,0.39382696,0.38976392,0.3962833,0.40760645,0.41835102,0.4228448,0.42054942,0.4139872,0.40880466,0.40886128,0.41592517,0.42730176,0.43786803,0.4416275,0.43567598,0.42165288,0.4045367,0.3910037,0.386147,0.39347926,0.41166863,0.4363347,0.46034053,0.47896376,0.49060503,0.4965655,0.49812734,0.4948567,0.48592448,0.47102165,0.4522334,0.43233922,0.41429368,0.4000297,0.39054036,0.3857992,0.38585684,0.39321923,0.41416728,0.45225796,0.5020613,0.54584104,0.56774217,0.5628278,0.5415326,0.5151627,0.4903262,0.4664717,0.44422808,0.4243507,0.4076738,0.39208522,0.3766477,0.36192915,0.34997907,0.341507,0.3359487,0.33354667,0.33496776,0.34088528,0.34910062,0.3569394,0.36217853,0.36400723,0.36231482,0.35906827,0.36208907,0.3809731,0.41713712,0.4565563,0.47809556,0.47321305,0.45143902,0.43180332,0.42310163,0.42351672,0.42601863,0.4292247,0.43424818,0.44232908,0.45079732,0.45649347,0.45736322,0.455103,0.4532113,0.45458332,0.45842376,0.4610783,0.45922562,0.45317927,0.44614366,0.44124076,0.43948522,0.44055626,0.44463924,0.45165145,0.4606444,0.4689428,0.47446272,0.47642934,0.47575912,0.4734851,0.4695605,0.4631548,0.45366883,0.44246557,0.43239883,0.4269434,0.42872778,0.4384488,0.45378104,0.47024664,0.4842963,0.49703243,0.5108464,0.52588034,0.535557,0.5348331,0.5228633,0.50685257,0.49356234,0.48745057,0.4873887,0.4896004,0.48982647,0.4865673,0.4829335,0.48314872,0.4885817,0.49461198,0.4951935,0.48780522,0.47623026,0.4664055,0.46204224,0.46294072,0.46732438,0.4725596,0.47529587,0.47196177,0.4637146,0.45819128,0.4645345,0.48396668,0.5057276,0.5167267,0.5115238,0.49774623,0.48608467,0.48318997,0.48687673,0.49171606,0.49312815,0.49053553,0.4857726,0.48027065,0.47357473,0.4643029,0.4533144,0.44409147,0.44103763,0.44489506,0.453051,0.46120843,0.46812168,0.474172,0.4798526,0.48372257,0.4844524,0.48252138,0.47896802,0.47421336,0.46706364,0.4574832,0.44720587,0.4392973,0.43563113,0.43568325,0.4376154,0.4394097,0.43998298,0.43843696,0.43453398,0.4289861,0.42371142,0.42086685,0.42297447,0.43379462,0.45835745,0.4959773,0.53587514,0.55732065,0.5462017,0.503772,0.4490718,0.40230832,0.37636605,0.37192628,0.38334987,0.40133026,0.41645697,0.4223828,0.41842926,0.4091457,0.39978227,0.39305508,0.3882593,0.38383707,0.37848225,0.3717073,0.36319706,0.35349157,0.3434036,0.33277828,0.32226762,0.3163682,0.32679617,0.36110708,0.41463396,0.46489772,0.49204257,0.48993048,0.47218248,0.45482597,0.4474479,0.44929218,0.45531702,0.46036336,0.46142223,0.45883217,0.4557152,0.455274,0.45843875,0.463289,0.46785232,0.47163096,0.47484264,0.47699544,0.47653723,0.47288737,0.46671328,0.4594809,0.45258072,0.44737947,0.44569492,0.44855103,0.45524383,0.46298838,0.46854818,0.47041944,0.46889773,0.46570814,0.46170282,0.45787188,0.45488694,0.45452657,0.45735368,0.4624765,0.4670175,0.46826002,0.46634033,0.46493065,0.47111806,0.4876174,0.50945,0.5222631,0.51569945,0.49044588,0.46002325,0.4375161,0.42834923,0.4294711,0.4361248,0.44464168,0.45162216,0.45328748,0.4470226,0.43452957,0.4209151,0.4138788,0.41916612,0.44049063,0.47336856,0.5074182,0.5264101,0.5219925,0.49581027,0.46046305,0.42661676,0.4013122,0.3892282,0.39694384,0.42635942,0.4672648,0.4990894,0.5059,0.48693755,0.4561381,0.4273945,0.40876982,0.39996395,0.39984393,0.40526626,0.41348168,0.4206935,0.42502877,0.42587996,0.42395213,0.42104885,0.4200478,0.42338002,0.43054163,0.43744388,0.4396957,0.43551254,0.42794523,0.42121732,0.4198356,0.4248272,0.43628773,0.45091513,0.46562466,0.475907,0.48021004,0.47806934,0.47168994,0.46226594,0.4502313,0.4347947,0.4159921,0.39611724,0.3779334,0.36493424,0.35761642,0.35628703,0.35981056,0.3714715,0.39676222,0.43829337,0.48743352,0.5251587,0.5374607,0.52481526,0.5022732,0.48168197,0.46637344,0.45219374,0.43866554,0.42738557,0.41913116,0.41009653,0.3972824,0.3815359,0.36728993,0.3578011,0.35371456,0.3538793,0.35734677,0.36255026,0.36776364,0.3713924,0.3737521,0.37485114,0.37514532,0.3764421,0.38741156,0.41546777,0.45956978,0.5008965,0.5204077,0.5106463,0.4848713,0.45890054,0.44224015,0.433498,0.4300674,0.42993578,0.43228197,0.43477556,0.4353459,0.43287155,0.42813906,0.42320833,0.4207169,0.42285475,0.42886186,0.4355133,0.43808463,0.43539762,0.42931035,0.42426148,0.42244598,0.4248663,0.43132865,0.44234243,0.4571449,0.47307983,0.4868054,0.49632478,0.5023014,0.5053205,0.5052566,0.5007543,0.4923493,0.48223054,0.47384974,0.46926913,0.4688746,0.4711024,0.47403932,0.47722688,0.48361874,0.4978545,0.52038574,0.54363763,0.5554741,0.54994226,0.53209305,0.513694,0.5028482,0.5001986,0.5016067,0.5032193,0.50358444,0.5032429,0.50337505,0.5040155,0.5032397,0.49837062,0.48845243,0.4755391,0.46356687,0.4556516,0.45318282,0.45518133,0.45983675,0.4636769,0.46377233,0.46004668,0.4583716,0.46806136,0.49155095,0.5192531,0.53230184,0.5209383,0.49074897,0.4595002,0.43937054,0.43163309,0.43004492,0.4297444,0.4306512,0.43406937,0.4412577,0.45122957,0.4628419,0.4739345,0.4826502,0.48773947,0.48941496,0.48934844,0.48946097,0.4916016,0.49576554,0.5003076,0.5018895,0.49920285,0.49342775,0.48802185,0.48430312,0.4815633,0.477945,0.47368297,0.47040352,0.46973372,0.47159234,0.47454277,0.47688112,0.47713736,0.4745213,0.46881938,0.46124282,0.45333672,0.44644567,0.44139007,0.44101897,0.45110694,0.4752809,0.5084768,0.53470355,0.53834844,0.5150508,0.47571132,0.43691322,0.41060653,0.4000144,0.40047374,0.4048268,0.40596828,0.40193912,0.39423242,0.38650262,0.38011563,0.37528303,0.371871,0.37086633,0.37251267,0.3760331,0.37966275,0.3826499,0.3842599,0.38251737,0.37541398,0.36541367,0.36512423,0.38740447,0.4343376,0.4854393,0.51588196,0.5120065,0.48448908,0.45170602,0.42799327,0.41549265,0.41178086,0.4131701,0.41690192,0.42001128,0.42080048,0.41971532,0.4186007,0.41959175,0.42395058,0.43236375,0.44380188,0.45503226,0.4618791,0.46186665,0.45632458,0.44836915,0.44072556,0.434067,0.42859623,0.42500582,0.42443684,0.42745873,0.43323803,0.44015658,0.44576886,0.44815513,0.44654843,0.4430726,0.44136146,0.4439534,0.44959286,0.45408916,0.45405102,0.44923604,0.44317997,0.44120824,0.44914782,0.46932438,0.49734554,0.5219818,0.5324554,0.52645177,0.5112267,0.49697256,0.4891596,0.48747662,0.4882044,0.48748502,0.4824157,0.4725006,0.4602016,0.44926128,0.44231263,0.44046906,0.44513932,0.459376,0.48214933,0.50628823,0.5173971,0.5073427,0.4775146,0.44118023,0.40914652,0.38548183,0.36412954,0.33849773,0.30559096,0.26973438,0.23665541,0.21095689,0.19271584,0.18074216,0.17261551,0.16641875,0.16013257,0.15282542,0.1448999,0.13751207,0.13187824,0.12798102,0.12517096,0.12214128,0.11856822,0.114569105,0.1111122,0.10839969,0.106492214,0.10474214,0.10313642,0.101589136,0.10039953,0.09927862,0.09804153,0.09641261,0.094681405,0.09307424,0.09176963,0.09046378,0.08896422,0.08721584,0.085554965,0.08414724,0.08297956,0.081773795,0.08045802,0.07908698,0.07778142,0.076422565,0.0748542,0.07307432,0.071317114,0.069871165,0.068762094,0.06788388,0.066983104,0.066077024,0.06519112,0.06454808,0.06409805,0.06382009,0.06344392,0.06288355,0.06193508,0.060653284,0.0590338,0.057312857,0.0555416,0.053815085,0.05200618,0.050139155,0.04820813,0.046411965,0.044851642,0.04366152,0.04275674,0.042083737,0.041469593,0.040860992,0.040110137,0.039210822,0.038137946,0.03702739,0.035930738,0.03492461,0.03399201,0.03314968,0.032326937,0.0314133,0.030288307,0.028959418,0.027582541,0.026349822,0.025387898,0.024664858,0.02408786,0.023510354,0.022856971,0.022051824,0.02110433,0.020024553,0.01891791,0.017872328,0.01698646,0.016238324,0.015574967,0.01489624,0.0141893,0.01345896,0.012768517,0.012133225,0.011578426,0.011074182,0.010604657,0.010125768,0.009637646,0.009148492,0.008706762,0.008335133,0.008040847,0.007780164,0.0075111794,0.007192105,0.006817242,0.0063822307,0.0059059425,0.0054298206,0.005049535,0.0048721554]