[0.000109863264,0.00010143885,0.000116636314,0.00026903753,0.0014733146,0.0064643375,0.020689353,0.049630493,0.094325684,0.14719869,0.19529371,0.22734444,0.24057388,0.23949564,0.23046045,0.21746476,0.20288478,0.1917984,0.18997902,0.20046712,0.2168255,0.22946125,0.23088713,0.22303633,0.2112173,0.1999489,0.18958034,0.18035136,0.17539883,0.17997521,0.19650431,0.22026484,0.24100284,0.24989128,0.24510194,0.23168625,0.21595578,0.20179427,0.189978,0.18062538,0.17392217,0.17014503,0.16870266,0.16846998,0.16822477,0.16726063,0.16524976,0.1621331,0.15853493,0.15688457,0.16202188,0.17901333,0.2085161,0.24367864,0.2728488,0.28706285,0.28505865,0.27211568,0.2546043,0.23644835,0.21919079,0.20320183,0.18881293,0.17597687,0.1650495,0.15621202,0.14998226,0.1462671,0.14491068,0.14501542,0.14549094,0.14510055,0.1434199,0.14076386,0.13760257,0.13395572,0.12955634,0.124602705,0.11971346,0.11551702,0.11204257,0.10911232,0.106597744,0.10477833,0.10376834,0.1035172,0.10350322,0.10333996,0.102685966,0.101594485,0.100194365,0.098733805,0.098743625,0.10397306,0.12130793,0.15479833,0.20176564,0.249222,0.28410995,0.29966202,0.30063045,0.29480013,0.28807288,0.28120407,0.27319893,0.2632613,0.25132957,0.23759012,0.2222526,0.20616029,0.19122922,0.17951576,0.17195886,0.16701533,0.16387132,0.1648726,0.17734365,0.2052389,0.24415116,0.2791966,0.29787502,0.29694054,0.28446496,0.2693274,0.25638852,0.24581635,0.23705213,0.22995263,0.22391035,0.21753655,0.20920932,0.19830967,0.18537696,0.17152727,0.15801568,0.1471926,0.14412804,0.15684952,0.19040483,0.24152225,0.29569814,0.33742642,0.35784957,0.36006382,0.3511748,0.33777595,0.3226447,0.3075734,0.29358837,0.28142628,0.27107656,0.263134,0.25843537,0.25804016,0.26133215,0.26684436,0.27222458,0.27648607,0.279253,0.2812474,0.28182557,0.28000435,0.27370584,0.26288036,0.248269,0.23250468,0.21710305,0.20359187,0.19201076,0.18254991,0.17444797,0.16728872,0.16031198,0.1533456,0.14596128,0.13816735,0.12994803,0.12208047,0.116251014,0.11689901,0.13110247,0.1653382,0.21716057,0.2716008,0.3068423,0.3095754,0.2829394,0.24277483,0.20405512,0.17467992,0.15690456,0.15334798,0.16543388,0.18940286,0.21344326,0.22499736,0.21851581,0.19906133,0.17591672,0.15597837,0.1417266,0.13475437,0.13884224,0.15814413,0.19234437,0.23326278,0.26815486,0.28711244,0.28865457,0.27857447,0.2642952,0.25057837,0.23855634,0.22770073,0.21686254,0.20539373,0.19306922,0.18078549,0.16993974,0.1617204,0.15611707,0.15243545,0.15019637,0.14971986,0.15110378,0.15361907,0.1555916,0.15564537,0.15322913,0.14866242,0.14273567,0.13627754,0.13017869,0.12596102,0.1262632,0.13481729,0.15196379,0.17307205,0.18781894,0.1894759,0.17764902,0.15993397,0.14312561,0.13116015,0.12550864,0.1302535,0.15285997,0.19595642,0.25103855,0.29648483,0.31379795,0.29837885,0.26407984,0.22849594,0.2033021,0.19021297,0.18726961,0.19226952,0.2028662,0.21455489,0.2213257,0.21882139,0.20754938,0.19193786,0.17728756,0.16717999,0.16476347,0.1742783,0.19785237,0.2312073,0.2612832,0.27493197,0.26607108,0.2405535,0.20896246,0.18106192,0.16146329,0.15204509,0.15408169,0.16894786,0.1960522,0.23074162,0.26533797,0.2931418,0.3116944,0.32255092,0.32779583,0.32858276,0.32534277,0.3210657,0.31902936,0.3217505,0.32592392,0.32737377,0.32240018,0.3129467,0.30196086,0.292262,0.28407514,0.2774435,0.27308154,0.27198425,0.2744362,0.27891627,0.28335142,0.28546062,0.2837398,0.2773085,0.26628113,0.25220844,0.23741315,0.22443151,0.21466444,0.20803563,0.20320237,0.19813842,0.19179697,0.18416023,0.17648697,0.16949366,0.16338627,0.15764242,0.15252894,0.14861602,0.14668483,0.14624716,0.14643073,0.14616872,0.14547376,0.14468454,0.14439179,0.1448775,0.14651126,0.14958245,0.15382032,0.15778995,0.1591983,0.15621054,0.14884426,0.13913584,0.12997039,0.123446696,0.11998334,0.11860331,0.117785685,0.116517834,0.11451444,0.11222898,0.110025205,0.108034454,0.10589734,0.10340015,0.10087871,0.09980187,0.10288007,0.11261185,0.12952036,0.15032804,0.16989262,0.18368833,0.19067259,0.19239438,0.19148259,0.19059642,0.1925853,0.20144254,0.21870048,0.24199323,0.26264152,0.2736028,0.2734731,0.2703105,0.27390933,0.28949037,0.31487104,0.3448377,0.37858713,0.41831228,0.46493936,0.51019454,0.5425628,0.5537433,0.5460763,0.52723616,0.5056654,0.48657143,0.47348368,0.46855155,0.47196046,0.48076594,0.48970708,0.49349245,0.4896674,0.4791603,0.46536645,0.4520248,0.4424126,0.43889233,0.4427313,0.4534391,0.4686009,0.48470318,0.49865532,0.5092123,0.51677644,0.52247506,0.5267077,0.5293543,0.5303679,0.53067136,0.5317917,0.5351383,0.54129505,0.5498765,0.5595131,0.56822026,0.5739046,0.57574105,0.5745539,0.57258075,0.5714183,0.5712626,0.57109284,0.57007486,0.5678441,0.5638178,0.5570809,0.546946,0.5338939,0.51946527,0.505934,0.4959459,0.49187097,0.49467564,0.50372916,0.51751924,0.5350557,0.5547783,0.5728886,0.58250254,0.576791,0.5545315,0.52171785,0.48847714,0.46046224,0.43750283,0.41568664,0.3942498,0.37481806,0.35972694,0.3497897,0.34602067,0.35062024,0.36546215,0.39020494,0.42121467,0.45317304,0.48024002,0.49702153,0.4987036,0.48283103,0.45228037,0.41674146,0.389322,0.3783526,0.38188776,0.38924488,0.38976243,0.37912998,0.3596841,0.33630452,0.3131814,0.294106,0.2818932,0.2786206,0.28362393,0.29436246,0.30643937,0.31660244,0.3242781,0.33230555,0.3431988,0.35545683,0.36303893,0.36073062,0.34977588,0.33790508,0.33297023,0.33654234,0.34419784,0.35039017,0.3531108,0.35309574,0.35159075,0.34859666,0.34397757,0.33834454,0.33334363,0.3312844,0.3345305,0.3441508,0.35897362,0.37547967,0.3908007,0.40391353,0.41604102,0.42709652,0.4349382,0.4362807,0.43027768,0.41970178,0.40884992,0.40098855,0.39636257,0.3938302,0.39088368,0.38565207,0.37652746,0.36422208,0.35081935,0.33919868,0.33113286,0.32707843,0.32771134,0.33428514,0.34897923,0.37086013,0.39490178,0.4106432,0.40929818,0.38850904,0.35656318,0.3254656,0.3042593,0.29392174,0.2910813,0.29233468,0.29673412,0.30349913,0.31021821,0.31256056,0.3078395,0.29656208,0.28321862,0.27282247,0.2691994,0.27302596,0.2826188,0.2954003,0.3104796,0.33107778,0.36208144,0.40505764,0.45224282,0.49033237,0.5085211,0.50672674,0.49315965,0.47779068,0.4661782,0.45920905,0.45487908,0.4509705,0.44629085,0.4416989,0.43856767,0.4375558,0.43726587,0.4362903,0.43485615,0.43549135,0.44046545,0.44957826,0.45979312,0.4673799,0.47012636,0.46865067,0.46578202,0.46490768,0.46738485,0.4718118,0.47495365,0.4750929,0.47200656,0.46642613,0.45624402,0.4393736,0.41501606,0.38810477,0.36483458,0.35019922,0.34319904,0.3407471,0.34105825,0.3465915,0.35931423,0.3758848,0.38779387,0.38816646,0.37817195,0.36680397,0.36469948,0.37655303,0.39722803,0.41466466,0.4178065,0.40448487,0.38155565,0.3589797,0.3425244,0.33243594,0.326054,0.32159492,0.3192177,0.32052267,0.3265173,0.33619913,0.34553692,0.3495687,0.34509337,0.3332229,0.3180605,0.30421758,0.29428765,0.28907478,0.28834292,0.29187664,0.29878166,0.30716622,0.3137772,0.31596354,0.31318772,0.30801666,0.30412844,0.3043289,0.30889842,0.31606826,0.32266846,0.32532528,0.32173514,0.31201836,0.29908755,0.28677937,0.27777454,0.27228472,0.26933992,0.26813224,0.2686561,0.27098826,0.27445912,0.27781054,0.2797421,0.27975464,0.27802825,0.27514234,0.2715594,0.26760396,0.2636269,0.26007125,0.25746134,0.25576797,0.25445223,0.25249147,0.24941523,0.24556082,0.24183697,0.23918135,0.2376464,0.23695855,0.23625971,0.23541768,0.23450279,0.23424907,0.23495491,0.23665185,0.23849533,0.23949437,0.23856783,0.23567848,0.23146819,0.22729655,0.22410452,0.22246462,0.22225039,0.22302644,0.22400904,0.22450142,0.2241054,0.22282714,0.22101499,0.21909638,0.21756339,0.21664512,0.21620487,0.21580207,0.21486777,0.213283,0.21114539,0.20887709,0.20657879,0.20419027,0.2015062,0.19848818,0.19529872,0.19212395,0.18917798,0.1867007,0.1850097,0.1842003,0.18393452,0.18352683,0.18275253,0.18288301,0.18749559,0.2020772,0.23192315,0.2787917,0.33836302,0.39983332,0.4484538,0.4689927,0.45164785,0.39795992,0.3249415,0.2598814,0.22733052,0.23477407,0.26996195,0.31113455,0.34294793,0.36280218,0.3751547,0.38119245,0.37576997,0.35534668,0.32435444,0.29576445,0.27869567,0.27274176,0.26770964,0.2561888,0.23808312,0.21968289,0.20544833,0.19685984,0.19524549,0.20509697,0.2305124,0.2703313,0.31599215,0.35693896,0.38536167,0.39871117,0.3964943,0.3794593,0.3496668,0.31292656,0.27657717,0.24717514,0.22675264,0.21436773,0.2065546,0.20074059,0.19602437,0.19603573,0.20552765,0.22615068,0.25060913,0.26683894,0.26458964,0.24357839,0.21154201,0.17969967,0.1553006,0.14035034,0.13250759,0.12879795,0.12771249,0.1307667,0.14351147,0.17296009,0.22203296,0.28327486,0.34139362,0.38148794,0.39639223,0.38523272,0.3499157,0.29632315,0.23793739,0.19371755,0.17658715,0.1849609,0.20302474,0.21343488,0.20790572,0.19157678,0.17589419,0.16887069,0.16998571,0.1735522,0.1776524,0.18677913,0.2071529,0.23750956,0.26838604,0.2890594,0.29568636,0.29195812,0.28400162,0.27660808,0.27238318,0.2722933,0.27469555,0.2754369,0.2698113,0.25559273,0.23436272,0.2107978,0.19017239,0.17659326,0.17185038,0.17673047,0.19070555,0.21121722,0.23131435,0.24204446,0.2370004,0.21707761,0.18918343,0.1618772,0.14131232,0.13036811,0.12869346,0.13300268,0.13779648,0.13841991,0.13321942,0.1245029,0.115772545,0.109871596,0.107436955,0.10819203,0.11160641,0.11676991,0.12180022,0.1238227,0.12142956,0.11509662,0.10723663,0.09941327,0.09244075,0.086330496,0.08177335,0.07935101,0.07901165,0.079345055,0.07859854,0.07585873,0.071713924,0.06754741,0.06447716,0.06290194,0.062717,0.063571505,0.064950496,0.066254295,0.0671649,0.06770898,0.06815257,0.06852714,0.06874335,0.06861913,0.06824108,0.067745544,0.06743512,0.06750217,0.06803978,0.068722926,0.06904801,0.06853137,0.067140214,0.065155916,0.063128464,0.061555386,0.060817603,0.06069206,0.060511082,0.060111936,0.06185217,0.07080969,0.09179405,0.124269925,0.1607604,0.19028847,0.2055617,0.20752199,0.20662545,0.21698348,0.24785554,0.29519072,0.3446937,0.38130346,0.3986118,0.39599916,0.37452874,0.33618703,0.2915999,0.2592217,0.2570388,0.28820002,0.33850396,0.38399193,0.40638217,0.40251186,0.3843505,0.3693358,0.36833838,0.38057598,0.39670852,0.4082619,0.41231027,0.4118329,0.41092798,0.41264108,0.41739622,0.4233098,0.42603135,0.42074922,0.4060531,0.38652936,0.37086907,0.3653952,0.36977267,0.3784192,0.38628802,0.39281073,0.4004668,0.4103495,0.41885373,0.4196317,0.40850148,0.38709584,0.36098304,0.33527824,0.3119855,0.2914752,0.27411664,0.26025158,0.2482845,0.23557664,0.22122633,0.20996249,0.20994316,0.227189,0.258581,0.29369748,0.3213217,0.33713695,0.34382734,0.3476309,0.3546587,0.36977234,0.39495704,0.42726865,0.45809746,0.4783944,0.4842992,0.48091424,0.4768298,0.478052,0.4824926,0.48251748,0.469587,0.44098845,0.40147606,0.3612549,0.32916132,0.30929735,0.30021596,0.29857418,0.3003367,0.3029102,0.30539975,0.30992588,0.3189198,0.3331611,0.34941265,0.36335889,0.3711036,0.37190366,0.3659642,0.35398862,0.33491734,0.3082789,0.27547333,0.24264622,0.21808977,0.20995359,0.21999194,0.24301445,0.2669436,0.2814519,0.28230286,0.2737464,0.26192883,0.25093898,0.24107243,0.23119766,0.22002412,0.20674276,0.19176501,0.17695583,0.16488831,0.1569701,0.15293922,0.15125673,0.15046507,0.14939262,0.1474641,0.14438064,0.14040373,0.1360942,0.13220988,0.12926768,0.12747474,0.12674749,0.1269085,0.12746839,0.1274295,0.12528262,0.11995479,0.111595154,0.101825476,0.09263998,0.08541257,0.08041649,0.07735607,0.075830616,0.07534149,0.07507977,0.07391564,0.07108774,0.06660401,0.061355233,0.05642907,0.052812267,0.05141003,0.05349591,0.06031904,0.07195667,0.08617007,0.09905172,0.1071436,0.10941097,0.107242934,0.10325694,0.100246154,0.101203255,0.10952053,0.12880035,0.16192092,0.20843816,0.26297423,0.3152753,0.35591397,0.38115382,0.39540493,0.40673447,0.4202782,0.43398416,0.43982485,0.4321544,0.41326395,0.39260387,0.37656674,0.36238217,0.34105107,0.30704477,0.26402274,0.2214729,0.18816555,0.16700651,0.15562572,0.14896959,0.14350645,0.14052296,0.14718483,0.17202629,0.21667731,0.27049822,0.31792483,0.35020745,0.37317324,0.39717218,0.42759833,0.45939526,0.48566046,0.50193185,0.50745964,0.50031877,0.4759483,0.43153778,0.37251464,0.3150258,0.27514842,0.25659773,0.24726777,0.23240612,0.20966512,0.19085519,0.19205797,0.21825933,0.26103103,0.3013623,0.32370937,0.32155094,0.30066916,0.2705654,0.23912813,0.20883375,0.17981963,0.1528929,0.13095404,0.11777123,0.11614973,0.1279683,0.15392524,0.19242673,0.23710914,0.2776678,0.3035754,0.3083887,0.29164788,0.25844863,0.2192247,0.18777223,0.17836122,0.19991119,0.25184652,0.32210577,0.39157566,0.44159582,0.46220794,0.45524418,0.4320146,0.40680125,0.39000285,0.38469636,0.38805163,0.39541686,0.40264118,0.40465423,0.39368725,0.3617374,0.30728757,0.24019183,0.17832284,0.13785085,0.1258323,0.13999142,0.17312561,0.21563113,0.25648943,0.28620517,0.3004334,0.30166638,0.29508072,0.28459302,0.2705133,0.25176856,0.22913803,0.20805727,0.1973284,0.20331337,0.22386892,0.24838889,0.2656838,0.27182257,0.27117288,0.26867476,0.2650517,0.25745162,0.24717037,0.23917963,0.2381792,0.24160825,0.24352789,0.23959403,0.23099512,0.22084694,0.21105649,0.20122272,0.19000894,0.17662062,0.16139264,0.1458999,0.13196345,0.12085864,0.112961344,0.1082536,0.106286585,0.106094636,0.106043436,0.10486141,0.102158815,0.09860152,0.094944865,0.091641404,0.088869385,0.0870215,0.0868189,0.08880597,0.09265084,0.09685881,0.09952634,0.09959045,0.097391434,0.094110556,0.09062511,0.087448,0.08518821,0.085361384,0.089192055,0.096720874,0.10558575,0.11297665,0.11677683,0.11713544,0.114980675,0.11142254,0.10758376,0.10651714,0.11477188,0.14057465,0.1889962,0.25475657,0.32153058,0.3664967,0.3737702,0.34197176,0.28667903,0.22853398,0.18445951,0.16230686,0.16558091,0.19463037,0.24434139,0.30286953,0.35606733,0.39572653,0.42084825,0.43438396,0.43889722,0.43729603,0.43511832,0.43858024,0.45111337,0.46901992,0.48443154,0.48763132,0.4711381,0.43139756,0.3720635,0.3060911,0.25060314,0.21986263,0.21608727,0.23084213,0.24898565,0.25872806,0.2557219,0.24382983,0.22939175,0.2168318,0.20758678,0.20197876,0.20086204,0.20345654,0.20661186,0.20554726,0.20062526,0.1997176,0.21595943,0.25678882,0.31735238,0.3820987,0.4351127,0.46951553,0.48680243,0.49313533,0.4925638,0.49008492,0.48944685,0.49517417,0.5062669,0.5172951,0.5179811,0.50074315,0.46693483,0.42946362,0.4054272,0.4035608,0.4184719,0.43543437,0.4408245,0.4292754,0.40362158,0.37270355,0.34546015,0.32801256,0.3203698,0.31867263,0.3163438,0.3072522,0.28838697,0.26439497,0.24592339,0.2427787,0.25415918,0.27058733,0.28178552,0.2862629,0.28828597,0.2922986,0.2978733,0.3021607,0.3016081,0.29267612,0.27203605,0.24064039,0.2072043,0.18634188,0.1879313,0.20935851,0.23601015,0.25350726,0.25577563,0.24669729,0.23280676,0.2194783,0.20891087,0.2016804,0.19641237,0.19099033,0.18341638,0.17345034,0.16208161,0.15084124,0.1406676,0.13228807,0.1264377,0.12447607,0.12737264,0.134706,0.14358838,0.15019959,0.1518446,0.14858949,0.1423431,0.13526447,0.12895168,0.12479027,0.12443856,0.12863185,0.1359935,0.14268889,0.14494622,0.1413808,0.13361277,0.12445862,0.11589766,0.10926449,0.10608131,0.10935741,0.12124435,0.14094533,0.16273798,0.1798979,0.18826252,0.18870457,0.18381482,0.17556863,0.16447043,0.15138568,0.1379262,0.12572983,0.115670174,0.10791197,0.102390826,0.09865581,0.096091755,0.09470034,0.09669634,0.10672394,0.13063271,0.1731823,0.23564862,0.31341386,0.39504123,0.46594545,0.5157545,0.54332405,0.55482566,0.55718946,0.55423504,0.5475287,0.53895634,0.53202695,0.5301073,0.5350042,0.5446066,0.55395746,0.5570902,0.5507049,0.5360752,0.51776034,0.5017355,0.49197534,0.49045002,0.49585167,0.5050519,0.51447576,0.522491,0.5300138,0.537908,0.5454261,0.5495095,0.5473048,0.53723377,0.51940507,0.495922,0.4704131,0.4490709,0.43744436,0.43964168,0.45427155,0.47633013,0.49764398,0.5113003,0.513118,0.50297767,0.4837847,0.4594551,0.43357864,0.40793332,0.38343748,0.3602024,0.3390269,0.32060957,0.30580676,0.2947832,0.2875637,0.2838659,0.2833065,0.2851173,0.2882155,0.2911469,0.2926576,0.29200646,0.28929076,0.28505298,0.2801142,0.27538005,0.2715927,0.2688333,0.26647726,0.26376942,0.260553,0.25739515,0.25478914,0.25266314,0.25020337,0.24707825,0.24395745,0.24246848,0.24353395,0.246943,0.25193772,0.25932425,0.27111936,0.28995642,0.31712246,0.35242894,0.39287183,0.43236527,0.46424806,0.48471534,0.4957354,0.5012787,0.504714,0.5057457,0.50234944,0.49122095,0.47011772,0.44008008,0.4063549,0.37633553,0.3547882,0.3428636,0.33933058,0.3435603,0.35472193,0.37099087,0.3894813,0.4082394,0.42673445,0.4443591,0.45942223,0.4696901,0.47459435,0.47494122,0.4722443,0.46726418,0.46129587,0.45554402,0.4511396,0.44712615,0.44227335,0.4353737,0.42712918,0.41863835,0.41169307,0.4082177,0.41002026,0.41730237,0.42638922,0.43085822,0.42457676,0.4067227,0.3819619,0.3573852,0.33745503,0.32238245,0.3094243,0.2959616,0.28150117,0.26777205,0.25721645,0.25090656,0.24803086,0.2464878,0.24472357,0.24250652,0.24076563,0.24035157,0.24098623,0.2416396,0.24130265,0.24008565,0.23875159,0.2381649,0.23840354,0.2389132,0.23893273,0.23819433,0.23683672,0.23518951,0.23318405,0.23064233,0.22778906,0.22558753,0.22549148,0.2278558,0.2319359,0.23575164,0.23833561,0.2403726,0.24566287,0.26007307,0.28895196,0.33291212,0.3856025,0.43648624,0.47635114,0.5020967,0.5163931,0.52464414,0.5310302,0.5380021,0.54590124,0.5541074,0.55977386,0.55965996,0.55161,0.5366258,0.51695365,0.49249125,0.46017358,0.41738293,0.3685707,0.3266258,0.30778107,0.32165274,0.3638496,0.41765678,0.46318462,0.48912224,0.4964135,0.49378204,0.48906764,0.4853972,0.48227096,0.47859251,0.47365594,0.46717393,0.45962012,0.452408,0.44751215,0.44584334,0.44744456,0.45186433,0.45924297,0.4689592,0.4785531,0.48379707,0.48134282,0.4715089,0.45862064,0.44856694,0.44514242,0.44822398,0.45448145,0.46027407,0.4641278,0.4669846,0.4703516,0.47403952,0.47667348,0.47654656,0.4729841,0.46517658,0.45337316,0.44008386,0.4313312,0.43303964,0.44631958,0.46527812,0.4811428,0.48805428,0.4858953,0.47739008,0.46451166,0.44661817,0.42255187,0.39275125,0.3610998,0.33358952,0.31548405,0.3079214,0.30754027,0.30925158,0.30943158,0.3072018,0.3032448,0.29964778,0.29998967,0.30941638,0.33069304,0.36102745,0.39118814,0.41128984,0.41587472,0.40647402,0.38837692,0.3682752,0.3523302,0.34634876,0.35263368,0.36846033,0.38541353,0.39532462,0.39482865,0.3878115,0.3806031,0.3768539,0.37502384,0.37137032,0.3644247,0.3561493,0.3499312,0.34674886,0.34550294,0.34371254,0.34014556,0.3337556,0.324981,0.314849,0.30595568,0.29983112,0.29662302,0.29451427,0.29199764,0.28863952,0.28504366,0.28174293,0.27819213,0.27379084,0.2689526,0.26673156,0.27055338,0.28141797,0.29518548,0.30537283,0.30739322,0.3019408,0.29309377,0.28506592,0.2793344,0.27544555,0.27223727,0.2694796,0.2673049,0.2657918,0.26458433,0.2633202,0.2620809,0.26069275,0.25893363,0.25654665,0.25485015,0.25643447,0.26374283,0.27673483,0.2914076,0.30219924,0.30432388,0.2977333,0.28588566,0.27443126,0.2672213,0.26570964,0.2693709,0.27705863,0.2875652,0.29894328,0.30911326,0.31629512,0.3203844,0.32257628,0.3255848,0.33292434,0.34921157,0.37748352,0.41722688,0.46123385,0.49951482,0.5232239,0.53164715,0.52953094,0.5243247,0.5192239,0.51503044,0.5110235,0.50836104,0.50770235,0.5085331,0.5085531,0.5056731,0.49930766,0.4902139,0.480131,0.47064176,0.46352568,0.46027482,0.46217713,0.46922052,0.47974488,0.4908526,0.5003433,0.5076451,0.51376194,0.51934284,0.52419895,0.52700883,0.5265961,0.5222655,0.5143365,0.50331014,0.48980603,0.47420582,0.45794186,0.44276667,0.43099484,0.4238124,0.42244455,0.42714557,0.43772218,0.4513528,0.46353674,0.46894124,0.46519855,0.45354924,0.43817985,0.42255023,0.4079944,0.39373365,0.3789834,0.36376908,0.34915474,0.33602992,0.32524273,0.31711686,0.31247106,0.31108698,0.31222773,0.3137941,0.31467554,0.31441674,0.31367588,0.312508,0.3107364,0.30798534,0.3045397,0.30073783,0.29681256,0.29215142,0.28635022,0.2792304,0.27179846,0.26476857,0.25862476,0.252868,0.2473312,0.24253257,0.24032797,0.24371713,0.25644144,0.2823019,0.32379043,0.37893727,0.43898046,0.48967507,0.51958674,0.5271314,0.5204127,0.50901806,0.49723563,0.48502186,0.47207364,0.4605057,0.4524455,0.44856605,0.44760466,0.4485587,0.45126882,0.4565214,0.46417215,0.47269538,0.4793971,0.48259303,0.48264098,0.48140284,0.48005077,0.47816408,0.47481933,0.4704989,0.46665847,0.46449026,0.46358475,0.4634759,0.4637463,0.46411845,0.46289864,0.45806912,0.44846162,0.43499747,0.42003834,0.40655637,0.39683917,0.391973,0.39077148,0.39075541,0.38858747,0.38251126,0.3723239,0.3598856,0.34721473,0.33629033,0.328463,0.32452664,0.32374728,0.32339013,0.32015768,0.3126179,0.3027443,0.29408988,0.28900564,0.2869698,0.28607768,0.2845045,0.2815541,0.27662528,0.26990914,0.2618921,0.25440666,0.24854894,0.2448088,0.24163781,0.23773052,0.23256171,0.2277627,0.22503339,0.22499205,0.22618681,0.22676545,0.22554266,0.22296941,0.22045012,0.21965265,0.22145472,0.22554375,0.23136568,0.23908581,0.2510089,0.27003893,0.29894814,0.33702222,0.38040328,0.42099193,0.45116866,0.4658103,0.4661173,0.45679364,0.4448167,0.43660975,0.43764946,0.44939017,0.4669665,0.48091558,0.48357585,0.47530603,0.46299934,0.4543277,0.45175543,0.45316887,0.45416987,0.4519688,0.44615754,0.43972644,0.43595085,0.43619004,0.43766406,0.43697408,0.4330841,0.42818847,0.42451242,0.42200387,0.42052034,0.42246255,0.43240616,0.45173168,0.47482777,0.49137068,0.49248874,0.47575867,0.44497213,0.4076066,0.3725132,0.3481777,0.34109542,0.35328984,0.3809396,0.4146752,0.4431764,0.45776725,0.45564625,0.43873307,0.41235164,0.38425708,0.36496904,0.36348036,0.3817886,0.4126058,0.44359663,0.46470532,0.47112954,0.4632651,0.44365814,0.4175116,0.39273515,0.38025823,0.3880917,0.41572228,0.45130244,0.48021865,0.49441722,0.4969883,0.4952036,0.4932144,0.4898796,0.4826891,0.4712069,0.4572973,0.44370922,0.43326768,0.42803273,0.4288387,0.4342117,0.44113752,0.4460739,0.44687247,0.4438068,0.4395026,0.4378666,0.4414178,0.44991478,0.459826,0.466558,0.46613455,0.45647702,0.4391227,0.42071036,0.41246572,0.42247975,0.44835603,0.47609735,0.49084905,0.48716342,0.47139418,0.45350686,0.4397254,0.43029323,0.42348793,0.418299,0.4152987,0.41388777,0.4125338,0.40894756,0.40362358,0.39773986,0.39308253,0.38857552,0.3832774,0.37593094,0.3671495,0.35741854,0.3471533,0.33602524,0.32359192,0.31061384,0.2987287,0.28994372,0.2847737,0.28286937,0.28386235,0.28823355,0.29630494,0.3067231,0.31636235,0.3215973,0.3208091,0.31460667,0.3053167,0.29488918,0.2849534,0.27642345,0.2700524,0.26555732,0.26209915,0.25841823,0.2542331,0.2501684,0.24780233,0.24825688,0.25160828,0.25682482,0.26284063,0.26982665,0.27830043,0.2879045,0.2955008,0.29765603,0.29273725,0.28340197,0.27366242,0.26680568,0.26333055,0.2628968,0.26495168,0.269076,0.27362624,0.27621534,0.27469537,0.26878417,0.25983012,0.25006795,0.24139124,0.2354797,0.2343844,0.24080753,0.25620744,0.27847204,0.3009992,0.3165779,0.320967,0.31542268,0.3034785,0.2891897,0.27492663,0.26270565,0.2539342,0.24981846,0.25041488,0.25445843,0.25965437,0.263922,0.26622853,0.26684132,0.2668992,0.2692314,0.2788006,0.30206656,0.3420776,0.39403358,0.44404522,0.4765981,0.48223343,0.46286488,0.42713532,0.38636446,0.3503808,0.32910863,0.33038473,0.35583588,0.39647338,0.43541297,0.4579881,0.45997372,0.44727555,0.42743492,0.40361866,0.37738815,0.35516933,0.3491627,0.36792982,0.40661517,0.44602147,0.46432462,0.44921973,0.4029654,0.33718085,0.2667367,0.20550309,0.16460474,0.1497487,0.15906794,0.18336421,0.20984189,0.22696489,0.22828718,0.21372084,0.1885276,0.16120215,0.14037116,0.13275775,0.14084499,0.16212416,0.18907405,0.21255325,0.22629808,0.22968699,0.2263937,0.2208309,0.21644925,0.21648662,0.2252838,0.24724841,0.28394642,0.33157352,0.38112834,0.42106357,0.4411616,0.4363083,0.40879193,0.36858153,0.33026493,0.30868518,0.31207636,0.33835423,0.374831,0.40710106,0.42686594,0.4360709,0.4409701,0.44611168,0.45153126,0.4549521,0.45500746,0.45143548,0.44507027,0.43667495,0.4281267,0.42165962,0.4181808,0.41497174,0.4070113,0.39260438,0.3778428,0.37506306,0.39175963,0.4228941,0.45024726,0.45893136,0.44728258,0.43119156,0.42702165,0.44134745,0.46467367,0.48272648,0.48551857,0.47273144,0.44948372,0.42089716,0.38986656,0.35828915,0.3286977,0.30376294,0.28511143,0.27284238,0.26568696,0.26035047,0.2511019,0.23162323,0.19986324,0.16109125,0.12548049,0.10116147,0.08959774,0.089330375,0.10187734,0.13631676,0.19671173,0.27485827,0.34215912,0.37257412,0.35368133,0.30064055,0.23662214,0.1830231,0.14905705,0.13976413,0.16096957,0.21367665,0.28812245,0.35789773,0.3985788,0.39876196,0.3706018,0.33427417,0.3067712,0.29244015,0.28761974,0.28703594,0.28718674,0.28674063,0.28439078,0.27958122,0.27265564,0.26509997,0.258145,0.25252673,0.2486921,0.24786061,0.25071874,0.25674415,0.26290172,0.26635647,0.2662908,0.26620224,0.2711505,0.28468344,0.305179,0.32764435,0.3471384,0.36308357,0.3778375,0.39363503,0.408439,0.41725004,0.414253,0.39703655,0.36666504,0.32971108,0.29694477,0.28460017,0.30534336,0.36076364,0.43224064,0.49176097,0.516352,0.5038632,0.46877685,0.4304513,0.40004992,0.37855342,0.3626225,0.35103104,0.3461577,0.34909377,0.3557509,0.35797647,0.34966087,0.3312626,0.3085891,0.28836843,0.27404323,0.2658575,0.26121786,0.25666097,0.2474863,0.23078227,0.20611666,0.17757855,0.15018608,0.12816423,0.11466164,0.11509803,0.13917357,0.19109066,0.26256624,0.32747737,0.36236516,0.35817507,0.32967675,0.29667923,0.27402532,0.26569414,0.27355862,0.30080578,0.34574828,0.3981941,0.43977478,0.4606584,0.4627131,0.45971596,0.4605215,0.4664702,0.46919322,0.46027577,0.43506706,0.39679876,0.35303918,0.31153047,0.2777341,0.25813127,0.26016334,0.28841126,0.3365583,0.38981342,0.43221352,0.45698428,0.46680972,0.4689213,0.46814242,0.46435168,0.4550983,0.43886057,0.41825032,0.39759287,0.38141194,0.37086764,0.3656477,0.36402845,0.36498344,0.36664316,0.36648116,0.36142978,0.34982273,0.33220053,0.31236097,0.29677197,0.29437158,0.3090454,0.33599183,0.3588378,0.36369094,0.34594834,0.3154223,0.28373823,0.2594683,0.24549456,0.2447278,0.26043665,0.29193792,0.3316017,0.36597165,0.38510206,0.38618696,0.3738204,0.3528818,0.3276269,0.30132833,0.27782536,0.25817665,0.24036318,0.22094904,0.1996671,0.17920095,0.16286193,0.15139203,0.14348684,0.1381002,0.13757683,0.14835173,0.17856002,0.22922166,0.29045334,0.34096172,0.36271322,0.34764555,0.3048707,0.25044945,0.20284021,0.17484371,0.1758951,0.20938595,0.26933017,0.33600283,0.3831165,0.39344808,0.36978135,0.33038136,0.2937852,0.26883686,0.25516358,0.24945891,0.2491769,0.2521269,0.25586295,0.2578393,0.25740752,0.25568727,0.25476098,0.2555302,0.25803503,0.26199988,0.26817495,0.27654096,0.2858026,0.29243067,0.29428703,0.29154706,0.28750965,0.28441012,0.2823712,0.27936745,0.27453688,0.2688123,0.26414704,0.26193002,0.26358867,0.27155837,0.2887671,0.31444487,0.34246215,0.36214426,0.3679798,0.36407125,0.36706296,0.39135993,0.4393755,0.49286175,0.52922624,0.53513056,0.51703626,0.48926902,0.46251914,0.43710995,0.4103836,0.38458934,0.3705804,0.37819138,0.40740004,0.4424847,0.46519122,0.46692288,0.45761827,0.45420003,0.4666414,0.48874322,0.5056625,0.50542176,0.4858283,0.4504598,0.40396452,0.35046723,0.2956595,0.24612884,0.20761186,0.18609434,0.19047709,0.23003238,0.30154088,0.38185707,0.4344791,0.4358779,0.38894507,0.321159,0.26001504,0.22251837,0.21331652,0.23660986,0.29338732,0.3737105,0.45022693,0.49177173,0.48451567,0.4404037,0.3854201,0.33885983,0.3080118,0.29360676,0.30030265,0.33238494,0.3867781,0.44593212,0.48727432,0.49444023,0.46817875,0.42217234,0.3760786,0.34577563,0.34119225,0.36264622,0.40179232,0.4421531,0.46919906,0.47654542,0.46971712,0.4579161,0.44880655,0.4444436,0.44446823,0.4464562,0.4476856,0.44399753,0.43202463,0.41027832,0.38329613,0.36121115,0.35789564,0.3810674,0.42695788,0.47835526,0.5159362,0.5293567,0.52243495,0.50933975,0.50215304,0.5070165,0.51812935,0.5270111,0.5250137,0.5116978,0.49023795,0.4650587,0.43807068,0.41077483,0.3855807,0.36533412,0.35132456,0.34257385,0.33695662,0.33258107,0.3287858,0.3258352,0.32478014,0.32547963,0.3256481,0.32046178,0.30619475,0.2831225,0.25634375,0.23212339,0.21433522,0.20451473,0.20548485,0.22491336,0.27043864,0.33953568,0.4116002,0.4568628,0.4559649,0.41421512,0.35613596,0.3061458,0.27670798,0.26844785,0.28082606,0.31124923,0.35410368,0.39522466,0.4222435,0.4285055,0.41782436,0.39781332,0.37670955,0.36037847,0.35083976,0.34715852,0.34634158,0.34648272,0.34766302,0.35225776,0.3649379,0.38864747,0.42178437,0.45420766,0.47451746,0.4765359,0.46656188,0.45600855,0.45324352,0.45633712,0.45830607,0.4542471,0.4454576,0.43576777,0.42645684,0.41623187,0.4050049,0.39743137,0.398957,0.4104967,0.42509422,0.43388072,0.43268228,0.42568836,0.42017785,0.4207504,0.42725936,0.43910387,0.4569365,0.47982952,0.5004758,0.5076394,0.49344388,0.4594866,0.4153904,0.37346426,0.3431461,0.3296269,0.33224964,0.345788,0.3599051,0.3664643,0.3642566,0.36371922,0.37648737,0.40571415,0.43937826,0.46161225,0.46391213,0.4519576,0.43649045,0.4254824,0.4179193,0.40900978,0.3924754,0.36644542,0.3326237,0.29765895,0.26978603,0.25819978,0.27279624,0.31779066,0.38658616,0.45571676,0.5014817,0.51129144,0.4945526,0.46717426,0.44285408,0.42608818,0.4201444,0.4290104,0.45378888,0.48627642,0.5091228,0.50830567,0.48331606,0.44949663,0.42468312,0.41767088,0.4236848,0.43274704,0.43778685,0.4376371,0.4328721,0.4227284,0.406726,0.38878894,0.37665346,0.37653482,0.38651755,0.39909568,0.4068615,0.4098494,0.41202784,0.4164962,0.4201319,0.4171174,0.4037678,0.38197288,0.3573955,0.33512536,0.31857336,0.30976894,0.31248882,0.32876027,0.3569158,0.38836953,0.41423297,0.42906377,0.43434146,0.4334768,0.4292823,0.422264,0.41306865,0.40411434,0.3989748,0.4000521,0.40539047,0.41022637,0.40974447,0.40338683,0.39334318,0.38259247,0.3727639,0.3666134,0.36963508,0.387012,0.4183296,0.45394096,0.4819429,0.49498832,0.49553087,0.48963544,0.4826767,0.47634777,0.47179198,0.46992323,0.47072503,0.47211328,0.4717311,0.4691495,0.4658591,0.46335438,0.46177766,0.46108583,0.4617519,0.46403226,0.4660282,0.46508768,0.4602724,0.45431474,0.45025578,0.44849882,0.44503972,0.43589213,0.42068925,0.40473166,0.39425325,0.39174893,0.39359593,0.39435992,0.39046553,0.38174012,0.36867154,0.3521357,0.3341168,0.31862953,0.30965742,0.30814347,0.31176528,0.3161869,0.31854188,0.31747642,0.3139192,0.30981982,0.30908322,0.31665027,0.33721253,0.37266695,0.41945156,0.4680538,0.5064229,0.5270534,0.5321035,0.5294067,0.5258059,0.5211015,0.5141732,0.5054331,0.49996972,0.49927926,0.50136554,0.5004769,0.49501714,0.48804176,0.48530725,0.48923063,0.4964815,0.50200224,0.50434726,0.5092941,0.5229037,0.54474396,0.56404036,0.5697264,0.5584418,0.5379639,0.5177149,0.50224656,0.4901234,0.47907987,0.4695059,0.46199468,0.45652092,0.45133278,0.4471554,0.4452741,0.4472456,0.451286,0.45516434,0.45694992,0.45710257,0.4547019,0.44663903,0.42741895,0.3960408,0.35864866,0.32753494,0.31173822,0.31072235,0.31599906,0.32067215,0.3280232,0.34801674,0.38535914,0.4308612,0.46523812,0.47309887,0.45067537,0.40655327,0.35409534,0.3076406,0.27986524,0.28141192,0.31639788,0.3768653,0.44147015,0.48620692,0.49830952,0.4829502,0.45466772,0.4271783,0.40677056,0.39502802,0.3901346,0.3901744,0.39274192,0.3965907,0.40047058,0.40391862,0.40677074,0.40966392,0.41385964,0.4218626,0.43686485,0.46046934,0.4897761,0.5178143,0.53826433,0.550607,0.5596407,0.5700381,0.5814318,0.59024924,0.59441155,0.59519625,0.59382224,0.5882538,0.576154,0.5590372,0.54389507,0.5369902,0.53926593,0.54539734,0.54867625,0.54598755,0.5391133,0.533751,0.53369313,0.53882647,0.5434177,0.54266447,0.53489417,0.52319676,0.5108642,0.50041443,0.49386477,0.49315095,0.4983562,0.50593156,0.51040787,0.5078612,0.4975784,0.48122844,0.4614077,0.44180092,0.42735028,0.42236307,0.42804423,0.4404033,0.45226467,0.45585272,0.4472994,0.42723522,0.40051484,0.3722408,0.34630874,0.3257184,0.3165248,0.32881936,0.3709669,0.43753538,0.50457215,0.5388283,0.52106065,0.45724535,0.37518215,0.30169758,0.25378773,0.23661351,0.25662574,0.3142548,0.39922452,0.47924125,0.5224976,0.512222,0.46370718,0.40408197,0.35853335,0.3341473,0.32708856,0.32850668,0.33250853,0.3363148,0.3392352,0.3404902,0.33945575,0.33556697,0.33007458,0.32508838,0.32549357,0.3363104,0.36131513,0.39764822,0.4369714,0.46894157,0.48776832,0.49384594,0.49123022,0.48405898,0.47389916,0.46177533,0.44932452,0.4414376,0.44228455,0.45392165,0.47319856,0.4952406,0.5129468,0.5187485,0.505894,0.47507748,0.43845248,0.41596738,0.42385033,0.46173796,0.5126108,0.55236596,0.5678672,0.5609005,0.54487014,0.5305665,0.5223305,0.5175286,0.51295596,0.50772506,0.50371385,0.5034426,0.5071501,0.51282984,0.5171917,0.5180884,0.5153404,0.5108815,0.5069054,0.5045205,0.5028882,0.50200075,0.5026009,0.5058387,0.50909996,0.5076816,0.49802506,0.48132995,0.4643785,0.45468166,0.46032763,0.4816525,0.5140886,0.5443523,0.5638662,0.568574,0.56237334,0.5480756,0.528236,0.5071575,0.4920129,0.49055997,0.502742,0.52143526,0.5334313,0.53128415,0.51506495,0.49312052,0.4722872,0.4551786,0.43950298,0.42230752,0.40236163,0.38111344,0.3626679,0.3514073,0.34971562,0.35600427,0.3660371,0.37488607,0.37974992,0.3809736,0.3827512,0.38982543,0.40481877,0.42463902,0.44398773,0.45702887,0.46168366,0.45731938,0.4461216,0.4310679,0.4164536,0.40531564,0.3990947,0.39745578,0.39885584,0.40085188,0.401862,0.40262568,0.40604803,0.41258004,0.41938832,0.42401376,0.43160903,0.4522418,0.48917222,0.5298018,0.5513735,0.53992206,0.50023115,0.45232692,0.4142209,0.39384246,0.3878776,0.3900338,0.39478824,0.39956853,0.40351418,0.4066764,0.40945116,0.41166237,0.4130415,0.4133483,0.4133098,0.4130851,0.4106258,0.40110517,0.38064694,0.35041964,0.3175769,0.28979966,0.27077663,0.25860178,0.25037816,0.24668835,0.25410134,0.28358278,0.33931956,0.4121592,0.47578764,0.5062793,0.49387172,0.45283738,0.4054197,0.37095308,0.35750476,0.3674233,0.4015286,0.4537603,0.5084596,0.5405907,0.5361193,0.49879202,0.4497153,0.40672362,0.3772861,0.3599886,0.35313585,0.35536733,0.36224332,0.3664546,0.36401024,0.35765266,0.35515043,0.3618418,0.3782394,0.4010384,0.42738524,0.45466733,0.47953615,0.4969143,0.5043879,0.5038168,0.501221,0.5003101,0.50208217,0.5046143,0.50869197,0.5148184,0.5234084,0.53041285,0.5314587,0.52300787,0.5061071,0.4854305,0.46698752,0.45596477,0.4537489,0.4596031,0.4702845,0.48428628,0.5002993,0.51723427,0.530804,0.53657144,0.533154,0.52432376,0.5156524,0.51067084,0.5098736,0.5120266,0.51464105,0.51429635,0.50728565,0.49268472,0.47319344,0.4545667,0.4417169,0.4363807,0.43689272,0.4403259,0.4442254,0.44587675,0.44271052,0.4334235,0.42023924,0.40613684,0.3917146,0.3737434,0.35028505,0.32414493,0.30476904,0.3029319,0.32795507,0.37819746,0.44149694,0.49266776,0.5106468,0.48465928,0.42631197,0.35677692,0.2997133,0.26811293,0.2676805,0.29980317,0.36002234,0.4347349,0.49726322,0.5246277,0.5069358,0.45887223,0.40399268,0.36383882,0.34419072,0.3398449,0.34197858,0.3453747,0.3495499,0.3554977,0.36476174,0.3787295,0.3979347,0.42103383,0.444502,0.4672602,0.49028984,0.515675,0.53957385,0.55590177,0.55945325,0.55323917,0.5437954,0.5386553,0.5397733,0.54593515,0.5522287,0.55545527,0.55296993,0.5454281,0.5334193,0.51998013,0.50791764,0.5009049,0.49993956,0.5036778,0.5090723,0.51484436,0.5243914,0.54149604,0.56528515,0.58467704,0.58776945,0.5695922,0.5395561,0.5114546,0.4962405,0.49400198,0.49952555,0.5046809,0.5048024,0.49670628,0.48127294,0.4602385,0.43788755,0.41751596,0.40224516,0.39289823,0.3891097,0.38884893,0.38923416,0.38775408,0.38288012,0.37507284,0.36541116,0.35621652,0.3504169,0.35083905,0.35807726,0.37173772,0.39391935,0.43063903,0.48182806,0.534388,0.5613322,0.5435908,0.4810258,0.39673206,0.316182,0.25826454,0.23091172,0.24096344,0.29234603,0.37760887,0.47010753,0.5326696,0.5414214,0.49999282,0.43603647,0.37763986,0.3397384,0.3209925,0.31439865,0.31305733,0.31298205,0.31248823,0.31209612,0.31407532,0.32072726,0.33213115,0.34673902,0.36305133,0.38358247,0.41155532,0.4468677,0.48136,0.50497204,0.513433,0.51149946,0.5073779,0.50470203,0.50261945,0.49865398,0.49405012,0.49099264,0.49117097,0.4930413,0.49536845,0.4979271,0.50182277,0.5059664,0.50779194,0.5052625,0.5015254,0.5036956,0.51992303,0.5509203,0.58904344,0.6193376,0.63151795,0.6232841,0.60242987,0.576509,0.5500352,0.52288467,0.4974916,0.47983494,0.47671416,0.4880035,0.50533247,0.51619416,0.5113637,0.4887078,0.45384213,0.4189711,0.39845538,0.403217,0.43336594,0.4782227,0.5201391,0.54486895,0.54611796,0.5266476,0.49196053,0.44785866,0.40108207,0.3633012,0.34955177,0.3695726,0.41940942,0.48038992,0.53044146,0.55486727,0.5518816,0.52780217,0.4926778,0.45809326,0.43717906,0.4411136,0.47131705,0.51538116,0.55178124,0.56496114,0.55492854,0.5357855,0.52179366,0.5184073,0.5207548,0.52165574,0.5167931,0.50802076,0.49982846,0.49638203,0.49813947,0.50284714,0.50737053,0.50926536,0.5078719,0.5031523,0.49545324,0.4832047,0.46485767,0.44016227,0.4126459,0.38680676,0.36505246,0.3463446,0.3287097,0.31345257,0.3048735,0.30824387,0.32422578,0.348583,0.3736676,0.39445952,0.4104385,0.42394432,0.4356115,0.44334638,0.44633734,0.4494435,0.46236384,0.49276495,0.5376081,0.58332163,0.61111,0.6103594,0.5813922,0.5375326,0.4942472,0.4647002,0.45180047,0.4514198,0.45582566,0.46026585,0.46340942,0.46529242,0.46459618,0.45884898,0.4467264,0.43046746,0.41624072,0.41070104,0.41600695,0.42680964,0.43416014,0.43163928,0.42011586,0.40450537,0.3903829,0.38032305,0.37560606,0.3764342,0.38463673,0.4045112,0.43928978,0.48425117,0.5221444,0.53434515,0.51341444,0.47098848,0.425856,0.3932468,0.37866828,0.38391796,0.41082343,0.4573311,0.5123567,0.5536672,0.5628538,0.53543895,0.48631492,0.43491134,0.39455163,0.36761335,0.35146233,0.34312204,0.33960748,0.3383137,0.33795944,0.34043348,0.34830382,0.36119738,0.37376037,0.3793031,0.37545106,0.36716238,0.36227134,0.3645862,0.37093237,0.37618157,0.37912014,0.38277522,0.3894947,0.39718255,0.40163425,0.40050623,0.3956515,0.3903329,0.38606906,0.3814726,0.37403,0.3629721,0.34927738,0.33519197,0.321939,0.31229582,0.31193027,0.3314141,0.37735954,0.4450791,0.51374537,0.558352,0.56372994,0.53371924,0.4868541,0.44325328,0.41544867,0.40375674,0.40249228,0.4048898,0.40772423,0.41012418,0.412102,0.41371045,0.4148854,0.41567144,0.41573906,0.41469422,0.41205227,0.4066155,0.3958225,0.3763518,0.34720206,0.31169608,0.27672443,0.24872835,0.23038118,0.2206157,0.21926127,0.2306221,0.26449633,0.32393563,0.3998108,0.4654019,0.49738428,0.48425046,0.43860674,0.3809538,0.33244404,0.30435845,0.3029121,0.33230105,0.38990104,0.46310458,0.52529,0.5547605,0.5426648,0.5031976,0.45673513,0.42140993,0.40164068,0.39409387,0.3922259,0.39177498,0.39033374,0.38675258,0.38116565,0.37529853,0.37153783,0.37158945,0.37627017,0.38497105,0.39567804,0.40316463,0.40194502,0.38857147,0.3666273,0.34409222,0.32965901,0.32681552,0.33319303,0.34318972,0.3517275,0.35687876,0.35970524,0.36200404,0.3641337,0.36345252,0.35710406,0.34447172,0.32913372,0.31630683,0.31222343,0.32440415,0.36333522,0.43209752,0.5183999,0.58952165,0.615876,0.58769053,0.5265692,0.46263674,0.41866496,0.39766482,0.39333156,0.39653686,0.40171528,0.40534553,0.4062737,0.40485469,0.40242863,0.40005508,0.39742437,0.3940506,0.38989374,0.38605353,0.3814226,0.37198946,0.35225764,0.32133755,0.2846366,0.25081536,0.22584705,0.2105122,0.2036395,0.2077325,0.23237462,0.28992525,0.37997377,0.48089147,0.55225897,0.5652385,0.5173078,0.43794635,0.3590462,0.30358887,0.2781825,0.28835046,0.33779594,0.42036462,0.51080656,0.57092005,0.57631195,0.5296647,0.46123803,0.4009924,0.3658829,0.35287634,0.35321203,0.3581008,0.3640715,0.36982417,0.37542784,0.38106832,0.38686457,0.39303204,0.3990548,0.40452695,0.408051,0.408944,0.40505692,0.3955451,0.3796747,0.36101747,0.3439339,0.3337283,0.33227766,0.33958468,0.35286257,0.36754665,0.37796363,0.37978366,0.37326172,0.36265922,0.35404393,0.35065612,0.35268518,0.35787627,0.36467087,0.3746672,0.39392242,0.4321055,0.49103817,0.55942726,0.6094806,0.6186963,0.58007175,0.5117601,0.4384254,0.3811939,0.34634757,0.33103332,0.32810897,0.33208624,0.3399625,0.34974182,0.35962823,0.36735865,0.3715428,0.37135804,0.36812648,0.3641803,0.3630911,0.36575767,0.37065342,0.37344137,0.37171462,0.36532426,0.35659775,0.3474686,0.33901253,0.33246315,0.33114716,0.34179696,0.37062714,0.41595033,0.46432617,0.4960793,0.50016946,0.4800713,0.4512538,0.42719367,0.4155729,0.41829932,0.43756184,0.47315264,0.51678693,0.55071455,0.5563974,0.52974826,0.48341545,0.43832552,0.40704513,0.39063728,0.38233802,0.37674284,0.37158227,0.36732852,0.3645701,0.36344397,0.36356187,0.3642987,0.36498046,0.36500618,0.36481437,0.36620316,0.37059215,0.37634397,0.37832424,0.3720655,0.35809037,0.34201154,0.33028212,0.32558784,0.32650074,0.329244,0.3309091,0.33035097,0.32853666,0.32737568,0.32880136,0.33385888,0.34187618,0.3510463,0.3590558,0.36591887,0.37565765,0.39712688,0.4390616,0.50081354,0.56684446,0.6110075,0.61372805,0.5736981,0.50936574,0.44473478,0.39722356,0.37125382,0.3617599,0.36035988,0.36063698,0.3602792,0.3596789,0.3598554,0.36087993,0.3623269,0.363912,0.36610004,0.36929634,0.37292397,0.37360367,0.36682245,0.3493248,0.32356527,0.29550162,0.271894,0.25534013,0.24571663,0.24267383,0.24996586,0.27674043,0.3301696,0.40608206,0.48122063,0.5273221,0.5285304,0.49552867,0.45301092,0.42242268,0.41067782,0.41624954,0.4392461,0.4800639,0.53297025,0.57855374,0.59579825,0.57444924,0.52531534,0.46914467,0.42363355,0.39471957,0.3799225,0.37429044,0.37264726,0.3708261,0.3665249,0.36114562,0.35820937,0.36068258,0.36832145,0.3787401,0.3892044,0.39928448,0.40952298,0.41977,0.42741287,0.42950988,0.4260899,0.42044556,0.4169911,0.41640607,0.41688964,0.41578257,0.41391003,0.41268328,0.41358128,0.41564223,0.4181716,0.4189953,0.41591868,0.40772855,0.39705312,0.39019284,0.3940585,0.41631374,0.46077475,0.5227067,0.58129215,0.6081919,0.58561707,0.52098584,0.4431573,0.38079008,0.34810868,0.34057882,0.34719226,0.35728887,0.36590528,0.3710811,0.373359,0.3738929,0.37424448,0.37478927,0.3750967,0.37435994,0.37316915,0.37232706,0.3705739,0.36341593,0.3461864,0.31960845,0.2900975,0.2656018,0.24914473,0.23933816,0.23574911,0.2435205,0.27356136,0.3306171,0.40726316,0.47713998,0.51373917,0.50110286,0.4500209,0.38436997,0.33045208,0.30237627,0.30461994,0.33777967,0.39629427,0.46802378,0.52883416,0.5598054,0.5520362,0.51711124,0.4726503,0.43639496,0.41499075,0.40686485,0.40575397,0.40639186,0.40665448,0.4060849,0.40499064,0.4033201,0.40133998,0.39926586,0.39779022,0.39710578,0.39687225,0.39451095,0.38771403,0.3756331,0.36205897,0.35168016,0.34783244,0.34933624,0.35342658,0.35795984,0.36315215,0.3698493,0.37747157,0.38288358,0.3821799,0.37316394,0.35757554,0.33962417,0.32427976,0.3144193,0.31269097,0.32334903,0.35485217,0.4125309,0.4889027,0.55813617,0.58972055,0.56977063,0.51206833,0.44661188,0.39775166,0.37263486,0.36521384,0.36685848,0.37208542,0.377748,0.3816061,0.3819343,0.37844053,0.3716981,0.36269233,0.35341763,0.34705353,0.34653392,0.35043728,0.3525391,0.3450086,0.32540986,0.29810455,0.2706909,0.24797224,0.23043601,0.2175057,0.21277474,0.22596633,0.27048078,0.34902892,0.44569516,0.5233788,0.55067563,0.5182889,0.4499793,0.37818682,0.32830945,0.30784485,0.31749952,0.35725713,0.4221394,0.4951158,0.54652053,0.5552627,0.52130026,0.4687182,0.4226439,0.3960695,0.38513446,0.38133606,0.3784496,0.3747073,0.37017778,0.3657494,0.36299452,0.363938,0.36977664,0.38048267,0.3938061,0.40576553,0.4119276,0.40987647,0.4016119,0.39183617,0.38633314,0.38771626,0.39650357,0.41063845,0.42785367,0.44412628,0.4547082,0.4547374,0.44328094,0.42389467,0.40370485,0.38797033,0.3784242,0.37365016,0.37301347,0.3771725,0.3882028,0.40816617,0.4406068,0.48506436,0.5352389,0.57405466,0.58614594,0.5631573,0.5134781,0.45246658,0.3976953,0.3594067,0.34120834,0.34090045,0.3530598,0.3710612,0.3878781,0.3992113,0.40444735,0.40666723,0.4089625,0.4121879,0.4145379,0.4145957,0.41194668,0.4083319,0.40456393,0.4024161,0.40244713,0.4063536,0.4139887,0.42482105,0.43647397,0.448264,0.4617641,0.4830012,0.51382214,0.5497055,0.5746941,0.5773037,0.55354995,0.5153779,0.4757738,0.44699335,0.43423048,0.44234002,0.4727448,0.5173102,0.55605054,0.56529695,0.5389812,0.4914677,0.44995418,0.43019342,0.43290916,0.44578445,0.45679674,0.45772278,0.44673195,0.4272531,0.40550843,0.387514,0.3757827,0.37023076,0.36942124,0.37245,0.37849775,0.38608217,0.39219975,0.39324632,0.3868197,0.3742589,0.35981417,0.34899533,0.34502256,0.34887543,0.35847688,0.37002766,0.37828836,0.38009825,0.37611783,0.3712058,0.370334,0.37581062,0.3858057,0.39659455,0.40433308,0.40675405,0.40324044,0.39514294,0.38576248,0.37930465,0.3782748,0.38152185,0.38516,0.38623485,0.3844489,0.3815192,0.37805676,0.37353054,0.3666767,0.35770953,0.34781978,0.33942953,0.3345909,0.3345441,0.3383223,0.34394836,0.3495187,0.355086,0.36122218,0.3680685,0.3737208,0.37616,0.37409604,0.36863086,0.36194602,0.35664883,0.3540314,0.35395873,0.35511026,0.35611156,0.3560368,0.35436118,0.35070932,0.3455193,0.34019926,0.33684897,0.33651495,0.33874607,0.34200075,0.34501526,0.34727702,0.34867957,0.34926876,0.34955356,0.35068306,0.35377577,0.35849643,0.36307213,0.36595932,0.36798963,0.37256774,0.38302255,0.3994665,0.4175421,0.43110585,0.4363414,0.4336586,0.42583933,0.41527784,0.40350708,0.3926029,0.38491896,0.38186097,0.3827206,0.38606283,0.39092112,0.39740992,0.40696952,0.42115125,0.44001782,0.4586557,0.46886924,0.4628897,0.4404787,0.40856886,0.3786123,0.35861418,0.35136867,0.3532238,0.3585573,0.3615577,0.3597536,0.35379624,0.34691623,0.3414518,0.33809158,0.3363134,0.33667,0.33977464,0.3449373,0.34924352,0.34943593,0.344031,0.33387092,0.3215979,0.30937555,0.29823288,0.2868307,0.27323735,0.2552017,0.23272277,0.20750614,0.18326735,0.1629682,0.14843166,0.13988148,0.13692203,0.13818713,0.14100821,0.14214537,0.13951695,0.13363571,0.12681581,0.12111061,0.1166446,0.111882456,0.10519645,0.09617891,0.08589599,0.07593917,0.06736124,0.060039103,0.05324616,0.046526592,0.04018892,0.03495669,0.031529065,0.030558048,0.03239506,0.036711637,0.041986775,0.04634038,0.048451584,0.04830392,0.046430588,0.043367866,0.03950198,0.03572549,0.033488985,0.033997018,0.03719334,0.0414771,0.04481074,0.04587209,0.044842232,0.043004796,0.042449653,0.045765687,0.056076724,0.07618027,0.107275985,0.14698504,0.1897256,0.22802679,0.25687006,0.2748262,0.28493142,0.29087374,0.29515997,0.2969303,0.2937027,0.28380108,0.2683594,0.25117335,0.2367916,0.2298369,0.2337774,0.24956787,0.27235982,0.29289544,0.30174264,0.29681277,0.28373173,0.2719293,0.2675469,0.2714784,0.2812067,0.29361555,0.3070198,0.3207319,0.33416304,0.34444764,0.34646082,0.33604062,0.31294155,0.2815868,0.24671604,0.21247584,0.18135016,0.15626597,0.13840024,0.12723683,0.12036011,0.11618733,0.11442313,0.11583474,0.12018934,0.12579243,0.13001041,0.13090484,0.12801105,0.12164014,0.112369716,0.10064858,0.08753165,0.07437917,0.06268204,0.05339555,0.046783756,0.042364668,0.039224166,0.03656656,0.034096792,0.032074805,0.031141222,0.03180507,0.03403114,0.036845744,0.038899552,0.039183933,0.037706014,0.03519263,0.03253336,0.030259965,0.028526561,0.027231947,0.026215373,0.02532398,0.024521438,0.023830213,0.023255857,0.022680081,0.022010723,0.021585925,0.022586266,0.027200436,0.037995223,0.05673973,0.08323052,0.11490697,0.14807321,0.17847173,0.20287581,0.21834694,0.2245913,0.22318333,0.21880163,0.2155876,0.21628569,0.2202255,0.22559594,0.23008238,0.23247196,0.23037666,0.22107947,0.2017714,0.17426658,0.14458288,0.12140462,0.11047851,0.11290135,0.12554464,0.1442925,0.16599482,0.1893182,0.21318974,0.23596783,0.2548512,0.26811293,0.27542257,0.2780226,0.2766097,0.27283752,0.26886296,0.26749825,0.26724204,0.26414743,0.2535192,0.23706871,0.22004841,0.20934212,0.20697956,0.21069594,0.21470259,0.21339123,0.20470136,0.19040777,0.17549317,0.16457559,0.16176778,0.16970366,0.18741643,0.20883405,0.22344376,0.22499228,0.21461974,0.20067495,0.18955944,0.18290372,0.1784033,0.17429237,0.17077662,0.16866446,0.16821773,0.16836053,0.16779186,0.16589499,0.1634169,0.16130051,0.15923177,0.1553678,0.14790827,0.13690342,0.12409689,0.11167854,0.1006153,0.090999484,0.082491785,0.07522121,0.06928221,0.064737044,0.06175077,0.061501514,0.06624112,0.078253806,0.098401584,0.1246112,0.15205133,0.17343277,0.18274309,0.1776794,0.16225858,0.14381951,0.13023426,0.12656988,0.13340123,0.14687185,0.16014493,0.16988082,0.17730463,0.18660407,0.1967497,0.20296592,0.20150189,0.19626366,0.1947193,0.20078468,0.2115137,0.2205321,0.22452326,0.22347462,0.21937908,0.21225303,0.20162351,0.18764675,0.1725307,0.1588261,0.14765751,0.13876934,0.131393,0.1251707,0.11989233,0.11521625,0.11096256,0.10727101,0.10505148,0.10542933,0.10889848,0.11437398,0.11925239,0.12114677,0.11910709,0.11422215,0.108114146,0.102161475,0.09679217,0.09208531,0.08784449,0.08393719,0.08015693,0.07636772,0.072416745,0.06831784,0.06422577,0.06043904,0.05729577,0.055665154,0.057401333,0.06497564,0.07934078,0.09811286,0.11592651,0.12779227,0.13191028,0.12999581,0.124839604,0.1184512,0.11168324,0.105092704,0.09924411,0.0945113,0.09075999,0.08747973,0.08412296,0.08037937,0.076298475,0.07247385,0.070337325,0.07277385,0.08383343,0.1076535,0.14466147,0.18952756,0.23127258,0.26086125,0.27730146,0.2896925,0.30754063,0.33177254,0.35213014,0.35794893,0.34765086,0.3311696,0.31991404,0.319751,0.32758507,0.3375698,0.34422004,0.34749267,0.35107014,0.36045673,0.3768202,0.39594856,0.41193357,0.42216966,0.42894623,0.43478802,0.440356,0.4436679,0.44367334,0.4404979,0.43562493,0.42919242,0.41986647,0.4044043,0.38050476,0.34774706,0.30940148,0.2707948,0.23786019,0.21407007,0.19931965,0.19075964,0.18529038,0.18160449,0.17961025,0.1788833,0.17790575,0.17495787,0.16929446,0.16111466,0.15135252,0.14124121,0.13192394,0.12370586,0.116043955,0.10848137,0.101338394,0.09539319,0.0908946,0.0873712,0.08406501,0.08068795,0.077554636,0.07553894,0.07542316,0.07721912,0.0797278,0.08114314,0.08028344,0.07728257,0.07325219,0.06924084,0.06576714,0.062856324,0.060457665,0.058486983,0.056879133,0.05551356,0.054360554,0.05363262,0.05413109,0.057531882,0.06669087,0.08607822,0.12093153,0.17471962,0.24376392,0.31736597,0.3817389,0.4301889,0.463104,0.48494133,0.49656582,0.49716103,0.48676404,0.468182,0.4448597,0.41902283,0.39276496,0.36898723,0.35199523,0.3454814,0.35087374,0.36537012,0.3829062,0.3964304,0.4022837,0.40132508,0.3982859,0.39798936,0.40344676,0.4142604,0.42755178,0.43973875,0.44938418,0.45800877,0.46775532,0.47701427,0.4792153,0.46618155,0.4347192,0.38913012,0.33889958,0.29320195,0.25747693,0.23283683,0.21689104,0.20572497,0.19586372,0.186312,0.17826037,0.17329775,0.17143857,0.17070735,0.16868542,0.16369893,0.15558897,0.14482963,0.13219117,0.11846913,0.10467244,0.092196375,0.08216535,0.07529176,0.07111069,0.06863555,0.066590734,0.06426697,0.06154644,0.05886184,0.056925986,0.056302894,0.05711336,0.058747098,0.060257595,0.060814735,0.0602355,0.05887239,0.057368547,0.05629072,0.055977184,0.056508098,0.057651054,0.05897409,0.059844553,0.05973598,0.058616024,0.057502013,0.05858027,0.06402659,0.07508239,0.09160202,0.114111446,0.14334083,0.17872675,0.21507837,0.24491219,0.26296675,0.27027917,0.272469,0.2752184,0.28158432,0.29140362,0.3027353,0.31214443,0.31724814,0.31889853,0.3224554,0.3336871,0.35358325,0.37549087,0.38886353,0.38506234,0.3630718,0.33019733,0.299549,0.28246352,0.28273693,0.29488832,0.3100127,0.32155272,0.32785133,0.32914284,0.32460684,0.311367,0.2876049,0.25646582,0.22736591,0.21059154,0.20927458,0.21593575,0.21828943,0.20830818,0.18675303,0.16058497,0.13771881,0.12351378,0.12016884,0.12840022,0.14918438,0.18299644,0.22690237,0.27282843,0.31096134,0.33384216,0.33831516,0.32285914,0.2886612,0.24182552,0.19613075,0.16657601,0.16170122,0.17825569,0.20617263,0.23575908,0.26115277,0.27786532,0.28020722,0.2645205,0.23336165,0.1971823,0.16909485,0.1601903,0.173508,0.20324628,0.23541427,0.25797603,0.26774296,0.27280304,0.28242627,0.29976586,0.3198886,0.33604312,0.343484,0.34025636,0.32598168,0.30238482,0.27397385,0.24661796,0.22480029,0.20982449,0.20083453,0.19644982,0.19549543,0.19653152,0.19789223,0.19834481,0.1974229,0.19489492,0.19038147,0.18400301,0.17709619,0.17183493,0.16951753,0.16964708,0.17049725,0.1708222,0.17065172,0.17072397,0.17128575,0.17123878,0.16835523,0.15990134,0.14427456,0.1224032,0.09916829,0.08241261,0.08046577,0.097247,0.1292208,0.16522211,0.19248216,0.2031669,0.19862902,0.18613972,0.17361237,0.16464555,0.15900181,0.15474425,0.15122847,0.14882451,0.14780723,0.14696841,0.14474553,0.14064844,0.13560878,0.1305197,0.12513681,0.1188589,0.112127304,0.10655559,0.1034444,0.102546275,0.10266766,0.102851994,0.10316191,0.10376678,0.104407765,0.104274355,0.103067875,0.10137483,0.10032738,0.10050074,0.10152767,0.102401726,0.102342345,0.10088257,0.09806945,0.09434243,0.09118173,0.09084045,0.09574718,0.1065203,0.12093374,0.13384676,0.14017719,0.137589,0.12839551,0.117438026,0.10928416,0.10552137,0.105118275,0.106128134,0.1075628,0.10970894,0.11306671,0.11733585,0.12153729,0.12529437,0.12969781,0.13612604,0.1442471,0.15106803,0.15334724,0.15014054,0.14368479,0.13677922,0.13065971,0.12462494,0.118100554,0.11213744,0.10933059,0.11157459,0.11808103,0.12520097,0.12979747,0.13261361,0.13870126,0.15243246,0.1726721,0.19227599,0.20389746,0.20529063,0.20041752,0.19515431,0.19309421,0.19382536,0.1943947,0.1917854,0.18458708,0.17352705,0.16044657,0.1472118,0.13470829,0.1230739,0.11221219,0.102426656,0.09417083,0.08766556,0.082548946,0.07840973,0.07530346,0.07408174,0.07531524,0.078444324,0.081263684,0.08161006,0.078557186,0.07321229,0.06739453,0.062682934,0.0596707,0.05816831,0.057523355,0.05704209,0.056490455,0.056179717,0.056698352,0.05818045,0.05996972,0.060890395,0.06012224,0.05778126,0.05476172,0.052016985,0.050005626,0.048662424,0.04765847,0.04666683,0.045486856,0.044107918,0.042653825,0.041256774,0.039950613,0.038673382,0.03733639,0.03588319,0.03432754,0.032781646,0.031411674,0.030333713,0.029511848,0.028790316,0.028023852,0.02719439,0.026429845,0.02590345,0.025722934,0.025849417,0.026141366,0.02643843,0.026659003,0.026794165,0.026884979,0.02696021,0.02703791,0.027082933,0.027021842,0.02674102,0.026176743,0.025353817,0.02442094,0.023571784,0.02297187,0.02264458,0.022468684,0.022216573,0.021707145,0.020879498,0.019823996,0.018691348,0.017625941,0.016714683,0.015970534,0.015344183,0.014736235,0.014068293,0.013297911,0.012444672,0.011529096,0.010577601,0.009595818,0.008608944,0.00764026,0.0067330375,0.0059442706,0.005371312,0.005118075]