[0.008932777,0.009652007,0.011317196,0.013571369,0.015764639,0.017059483,0.017276129,0.018440938,0.025973082,0.046697874,0.0839287,0.13296817,0.18245637,0.22112866,0.24420238,0.25415525,0.2565588,0.2559966,0.25498915,0.25464252,0.25578892,0.25872704,0.26352164,0.26950464,0.27600336,0.2822391,0.28801262,0.2929809,0.2970041,0.29896048,0.297909,0.29278073,0.28478822,0.27646947,0.27111304,0.26995674,0.27167544,0.27397287,0.27513418,0.27580026,0.27694473,0.2794135,0.28242257,0.28493822,0.2860323,0.28486183,0.281009,0.27419844,0.26587987,0.25724646,0.24945003,0.24156098,0.23270667,0.22132808,0.20660138,0.18763722,0.16525383,0.14151444,0.11947462,0.100800194,0.085672535,0.072879575,0.061581876,0.05117063,0.041551758,0.032596067,0.025139926,0.02108452,0.023531256,0.034079056,0.050887972,0.06808171,0.08004042,0.085616075,0.087226175,0.08727502,0.08435225,0.07844734,0.071760744,0.068881065,0.07084237,0.07853956,0.09686741,0.13419257,0.19298375,0.2621626,0.32334483,0.36303374,0.3808752,0.38489738,0.38392317,0.38294864,0.38347015,0.38470435,0.38441133,0.3816528,0.37783146,0.37668028,0.37971142,0.38549218,0.39006257,0.39181006,0.39172363,0.39245865,0.39447916,0.39573464,0.3932275,0.385756,0.37548915,0.36688766,0.36492088,0.37105227,0.38230428,0.3919325,0.39537987,0.39265528,0.3878933,0.38372767,0.3797152,0.37354204,0.36489213,0.35549128,0.347718,0.34231868,0.33865437,0.335786,0.33330917,0.33168045,0.3307661,0.3301892,0.328249,0.32407013,0.31696466,0.30845818,0.30019864,0.29448608,0.29205254,0.29317752,0.29688302,0.3019841,0.3066287,0.30945006,0.30943298,0.3065977,0.30088764,0.29279792,0.28319502,0.2743387,0.2685881,0.26618537,0.26471797,0.26032242,0.25232765,0.24219632,0.2324698,0.22299999,0.21445964,0.21055628,0.21792676,0.23980232,0.27104756,0.30041286,0.31821382,0.3225083,0.31823525,0.31118295,0.30337003,0.29100645,0.26804495,0.23100568,0.18546076,0.14558096,0.12722927,0.13734357,0.16897784,0.20661396,0.2350961,0.24809259,0.2469213,0.23818664,0.22740929,0.21875648,0.21298547,0.21051747,0.21123411,0.21688803,0.22812064,0.24397035,0.25974008,0.2712468,0.27631888,0.27669564,0.27423295,0.26990357,0.26331803,0.2549382,0.24575008,0.23693605,0.2285139,0.22049119,0.21225478,0.20382668,0.19500178,0.1867556,0.18012919,0.17589311,0.17369647,0.1731988,0.17527528,0.18068571,0.18784498,0.19176507,0.18807326,0.17677985,0.1627677,0.15139325,0.14547445,0.14567667,0.15347432,0.17036109,0.19637378,0.22736776,0.2587268,0.28597942,0.30764738,0.32243565,0.3314173,0.3361406,0.3387144,0.33854747,0.33401558,0.32499883,0.31573084,0.31273627,0.32046258,0.3376801,0.3585972,0.37671447,0.3888941,0.3957156,0.39976528,0.40260947,0.40416503,0.4034376,0.400761,0.39770666,0.39609468,0.39579436,0.39580914,0.39478913,0.39304432,0.39057985,0.38777813,0.38379574,0.37901905,0.37423953,0.37211153,0.37441516,0.3814651,0.38999054,0.39549246,0.39380193,0.38449296,0.3705126,0.3579723,0.35223565,0.35576162,0.3658116,0.37678292,0.3830271,0.38222766,0.37568963,0.3666135,0.3576143,0.3493456,0.34162012,0.3343484,0.32784227,0.32155022,0.31396195,0.30359605,0.29026675,0.27569357,0.2627845,0.25427192,0.25116012,0.25195956,0.25388166,0.254393,0.25314006,0.25160158,0.25175777,0.25355718,0.2545056,0.25134566,0.24347907,0.23394035,0.2280675,0.22910003,0.23670493,0.24691232,0.2564361,0.26381704,0.26968038,0.27375573,0.27521434,0.2744391,0.2750239,0.28144678,0.29533115,0.3128368,0.32782325,0.33526087,0.33452678,0.3277361,0.31748724,0.30390975,0.28347483,0.2521082,0.20943956,0.16327704,0.1256305,0.10457613,0.09792102,0.095145114,0.08779949,0.074349575,0.060524378,0.05225052,0.05309428,0.06387057,0.081253864,0.099306874,0.10946777,0.10953937,0.10341871,0.09875107,0.0973337,0.09426355,0.08472253,0.06924328,0.054250643,0.045216713,0.044698182,0.05288442,0.067418866,0.083739124,0.094447024,0.096759774,0.094085425,0.09328824,0.09625763,0.097080834,0.09014071,0.0751593,0.05940688,0.049486082,0.04927593,0.059078652,0.07614491,0.094944485,0.10843539,0.11591678,0.12464744,0.14419194,0.1759795,0.2094091,0.23218453,0.23823713,0.23274256,0.22402735,0.21967156,0.22302383,0.23357964,0.24724658,0.25701845,0.25767323,0.24892603,0.23695385,0.23038775,0.235896,0.2562755,0.29110074,0.33593473,0.38090885,0.41173467,0.41859916,0.40207803,0.37302348,0.34266663,0.31661895,0.29386547,0.27012774,0.24157183,0.20770006,0.1752608,0.15518443,0.15613581,0.17613757,0.20459612,0.22988963,0.2474672,0.2588515,0.2670954,0.27233526,0.27403972,0.27200726,0.26826346,0.26405776,0.26071236,0.25813285,0.2559493,0.25261343,0.2474571,0.24195504,0.23891313,0.23938787,0.24064876,0.23942316,0.23616864,0.23666652,0.24707036,0.268229,0.29375625,0.3146591,0.3251698,0.3256446,0.32016304,0.3131326,0.30623755,0.29905918,0.2899427,0.2786967,0.26638404,0.25477058,0.2444884,0.23518717,0.22668834,0.21928781,0.21327262,0.20786776,0.20197965,0.19523859,0.18811305,0.18089391,0.17347084,0.16653514,0.16278349,0.16404586,0.16913585,0.17270315,0.17118835,0.16420726,0.15415664,0.14203642,0.13076657,0.13007148,0.15360655,0.20654778,0.2740322,0.32877684,0.3501055,0.33887962,0.3122547,0.28796163,0.2726626,0.26164615,0.24546951,0.21754135,0.17997186,0.14506544,0.12859929,0.13979761,0.17331587,0.21404545,0.24596144,0.26258942,0.2656329,0.26187387,0.25577745,0.249763,0.24320245,0.23596875,0.22783142,0.22013563,0.21375318,0.20909709,0.20539112,0.20240343,0.20129453,0.20266469,0.20465218,0.20217127,0.19270997,0.18016677,0.17464451,0.18460882,0.20940702,0.23988979,0.26459178,0.27835295,0.2823955,0.2815299,0.27888176,0.2749499,0.26888764,0.26065925,0.25271544,0.24821846,0.248011,0.24877107,0.24499434,0.23452127,0.21952204,0.20517994,0.19472735,0.18992107,0.19200689,0.20234595,0.22031355,0.24209344,0.2640718,0.28570646,0.30899823,0.3341132,0.35603145,0.3680637,0.36352572,0.34098363,0.3039657,0.2670671,0.25111783,0.272794,0.32829523,0.3920766,0.43378708,0.43873772,0.41450107,0.37911785,0.34641752,0.32085824,0.30066028,0.2840493,0.270768,0.26276973,0.26237723,0.2710984,0.28684425,0.30347487,0.31372944,0.31494847,0.3113905,0.31021908,0.31525156,0.32472885,0.3352501,0.34492254,0.35387883,0.36098588,0.3644248,0.36205995,0.35395595,0.34113312,0.32708564,0.31678483,0.31508926,0.32214868,0.33238828,0.33911774,0.34036636,0.34031996,0.34392163,0.3516817,0.35979152,0.36466432,0.36662424,0.36857936,0.37265027,0.37822208,0.38215724,0.38176677,0.3759754,0.36724675,0.35750654,0.34610298,0.32828936,0.3015901,0.27044904,0.24542712,0.23503228,0.2381038,0.24447156,0.2431091,0.23022975,0.2113988,0.19570726,0.19039972,0.19696271,0.21171695,0.22774136,0.23807245,0.24063796,0.23727441,0.23165397,0.22473954,0.21847449,0.21918409,0.23352285,0.25993893,0.28207043,0.2821568,0.25297037,0.20578597,0.15709174,0.119382106,0.09638255,0.089147955,0.096933335,0.11515679,0.13256513,0.13673396,0.121802114,0.093117826,0.06213838,0.038521554,0.025110831,0.01931283,0.017123861,0.016060574,0.01668685,0.02243491,0.037982322,0.06456802,0.09627789,0.120608,0.12616616,0.110289685,0.08130993,0.05217496,0.032593857,0.024350023,0.023177356,0.02359615,0.023987807,0.027777223,0.040601578,0.06511413,0.09736365,0.12780604,0.14500278,0.14198707,0.119039744,0.08496106,0.051081512,0.026367774,0.013152028,0.010194432,0.016199637,0.031085394,0.053585935,0.079594426,0.10432869,0.12619519,0.14495935,0.15956473,0.16555126,0.1637822,0.16318709,0.17710416,0.21001,0.25208607,0.28877997,0.3107717,0.32001483,0.3212848,0.31925252,0.31432137,0.30459288,0.28624913,0.26142532,0.24413626,0.25807723,0.31463304,0.39869758,0.46970344,0.4958259,0.47174183,0.42222488,0.37354994,0.34091404,0.3229539,0.31286323,0.3029277,0.29186395,0.28646913,0.30181244,0.34309337,0.39870834,0.4373202,0.4390817,0.40459254,0.35950685,0.3252187,0.31116936,0.3112427,0.31774533,0.3252456,0.332062,0.33833647,0.34540558,0.3541845,0.36415458,0.37258044,0.3777859,0.37868235,0.37590578,0.37028202,0.3665267,0.37295893,0.39585498,0.43028042,0.4580669,0.46025503,0.43252158,0.38959876,0.35330692,0.33570206,0.33401954,0.3363309,0.33228073,0.31861925,0.30124435,0.2942128,0.3099703,0.34810257,0.38814092,0.4048151,0.38720584,0.34883967,0.31389117,0.29867467,0.30338648,0.31704655,0.32770732,0.3287034,0.3217456,0.31431425,0.31358883,0.3204522,0.3292252,0.33362505,0.3321704,0.3272221,0.3207929,0.31406775,0.31256238,0.32735097,0.36348036,0.4100585,0.44052967,0.43599844,0.3966991,0.34305385,0.29484758,0.26323292,0.24793781,0.24343115,0.24150015,0.2369693,0.23433255,0.2484231,0.2884687,0.34507442,0.3885351,0.3967392,0.369368,0.32925534,0.2966399,0.2791011,0.27168095,0.26767683,0.26282847,0.25504443,0.24582052,0.24014598,0.24332602,0.25576648,0.27052388,0.28054127,0.2823708,0.2788285,0.2742847,0.2753848,0.29149196,0.32683566,0.37445366,0.41154513,0.42057833,0.39812338,0.36150703,0.32793173,0.30742612,0.2968878,0.2887062,0.2736444,0.24869512,0.221653,0.21375577,0.24257512,0.30630884,0.3742803,0.4125692,0.405867,0.3695655,0.32869175,0.30101123,0.2901694,0.29358467,0.30777177,0.3284627,0.35089245,0.37180865,0.3903055,0.40571162,0.41483116,0.41487455,0.40634212,0.39440152,0.3846945,0.3824669,0.39229497,0.417024,0.45011473,0.47518185,0.473863,0.44309866,0.39584193,0.35284337,0.32586923,0.31686845,0.320294,0.3290863,0.33640262,0.3398355,0.34486917,0.36081,0.3887831,0.41591418,0.4227717,0.40397143,0.37244132,0.3495412,0.34377608,0.34822205,0.34945735,0.33993855,0.32130826,0.30075112,0.28808212,0.28998736,0.30616495,0.3274887,0.34250316,0.34660986,0.34372875,0.34111765,0.34219846,0.34910464,0.367026,0.3991566,0.43963334,0.46861434,0.47142276,0.44633654,0.40988836,0.37626186,0.35256305,0.33474776,0.31744504,0.29545334,0.26934674,0.2476312,0.24779572,0.28030273,0.33734664,0.3883172,0.4077996,0.39142385,0.36122915,0.3386142,0.33026698,0.32718632,0.31999034,0.3089062,0.30117175,0.30480894,0.32030055,0.34110144,0.35684982,0.36154917,0.35737824,0.3520907,0.3505489,0.35059527,0.347263,0.34332487,0.34757712,0.3647882,0.3831047,0.3829645,0.35400736,0.305886,0.2585062,0.2260102,0.2102396,0.20396833,0.19729383,0.18360762,0.16594785,0.16094922,0.18647425,0.24406601,0.30800974,0.34392354,0.33413264,0.29120246,0.24297945,0.21172923,0.2033381,0.21237032,0.23009281,0.25088894,0.27304575,0.29842868,0.3274423,0.35671782,0.378613,0.38683867,0.3804942,0.3655003,0.3501862,0.34267083,0.34843376,0.37197018,0.4090556,0.44682336,0.46380517,0.4504306,0.41154468,0.36561576,0.3247423,0.2943666,0.2753505,0.26928595,0.27410606,0.28384826,0.29646417,0.319736,0.35950384,0.40845773,0.44162747,0.4436758,0.4171275,0.38429275,0.35874987,0.34205672,0.32529247,0.30452335,0.28124705,0.26043656,0.24728203,0.24734499,0.26368463,0.2936442,0.3265847,0.35069653,0.35912493,0.35465112,0.34659305,0.34611642,0.3632261,0.39863527,0.4427216,0.47374412,0.47634876,0.4483738,0.4054083,0.36346707,0.3321929,0.3118969,0.30005512,0.2921836,0.28422043,0.27606598,0.2775581,0.29885653,0.33927426,0.3773801,0.39006948,0.3699366,0.33377838,0.30345893,0.2886207,0.2834001,0.27800617,0.2690188,0.25926283,0.25187823,0.24770181,0.24421401,0.23817341,0.22461951,0.20274325,0.178549,0.16513158,0.17123562,0.19339071,0.218333,0.23697199,0.2513297,0.2687968,0.2878498,0.29673782,0.2820642,0.24358004,0.19420592,0.15390979,0.13803846,0.15154274,0.18546021,0.21943603,0.23250477,0.21521233,0.17528705,0.12973996,0.09501231,0.08174413,0.09500166,0.13197567,0.17958356,0.21737212,0.22949563,0.21323843,0.1803193,0.14807041,0.13250522,0.14207304,0.17523925,0.22087051,0.2634702,0.29119715,0.2990693,0.28957936,0.27114442,0.25880894,0.2710153,0.31698152,0.38743842,0.45303681,0.48736778,0.48149416,0.4504675,0.41364202,0.38335696,0.3598344,0.33837286,0.31249085,0.2792883,0.24444641,0.22748102,0.24667422,0.30397916,0.37265873,0.420482,0.4279599,0.40203485,0.35881317,0.31454083,0.27801535,0.25576106,0.24651025,0.24242161,0.2310908,0.21068442,0.19042732,0.18492143,0.1972173,0.21850206,0.23440768,0.2367533,0.22431034,0.20038253,0.16977388,0.13775994,0.10932514,0.08915024,0.084730364,0.10786891,0.16550909,0.24928395,0.3317099,0.38657305,0.40651903,0.40578568,0.4015416,0.39878026,0.39656627,0.39527807,0.39999184,0.40948996,0.41748822,0.4207951,0.4221342,0.4262556,0.4304845,0.43299416,0.43754295,0.4509511,0.47139874,0.48459795,0.48163703,0.46709505,0.45723352,0.458891,0.46682933,0.4728285,0.47444987,0.47327185,0.4661059,0.45262834,0.44043836,0.44187507,0.4582843,0.47345424,0.47046936,0.44530544,0.41162345,0.38289467,0.3647058,0.35311612,0.34215978,0.32748386,0.30958018,0.29561213,0.29901633,0.32503638,0.3648177,0.39148235,0.3881241,0.35507664,0.31603324,0.29022348,0.2857816,0.29477933,0.30638936,0.31131497,0.30611393,0.29327378,0.27870357,0.2659743,0.2537521,0.23858549,0.22295624,0.21457069,0.22119369,0.2408197,0.26277784,0.27407047,0.26806736,0.24640782,0.21601266,0.1858834,0.16549176,0.16150868,0.1739382,0.19271623,0.20498568,0.20236091,0.18720971,0.1671663,0.15133506,0.14864591,0.16683394,0.20774467,0.25986108,0.30405495,0.32451257,0.32071316,0.30286178,0.28254947,0.2660807,0.25696364,0.2590345,0.27368435,0.2963022,0.3173589,0.3291731,0.3295211,0.3204572,0.30418733,0.28275704,0.25715244,0.22950108,0.2043752,0.19325863,0.21014686,0.2578856,0.3192453,0.3632227,0.3724747,0.35376367,0.3320228,0.3234435,0.32755908,0.3327895,0.33121195,0.323347,0.31563035,0.3165517,0.33376005,0.36596218,0.40106407,0.41769347,0.4050459,0.3666726,0.3209693,0.28206444,0.25742498,0.24494202,0.24067234,0.2386297,0.2354034,0.22997005,0.2248031,0.21908762,0.20924623,0.19011478,0.16602813,0.14978367,0.15691061,0.19265775,0.2495542,0.3150979,0.37632182,0.42429057,0.45045662,0.4563223,0.45154783,0.44931796,0.45201877,0.4518168,0.4434029,0.43133128,0.42529118,0.42709827,0.43078563,0.43348423,0.4371215,0.44534978,0.4521247,0.45352387,0.45164236,0.45509252,0.46372008,0.4662789,0.45586887,0.43837607,0.42852068,0.43019542,0.4368887,0.44339582,0.45211852,0.4663019,0.47627863,0.4694231,0.44112194,0.40434483,0.3770933,0.37133488,0.38840523,0.42183784,0.4605415,0.48988768,0.4972452,0.47953323,0.44412398,0.40366825,0.36663428,0.3368036,0.31364176,0.29426086,0.27371004,0.25061664,0.23419778,0.24106042,0.28030974,0.3402567,0.39361224,0.41896605,0.41432896,0.39400268,0.3719149,0.35387233,0.33908752,0.3259782,0.31481966,0.30578735,0.30036497,0.2999141,0.30612266,0.31717494,0.32862154,0.33558974,0.33581448,0.3301278,0.32243788,0.31990683,0.3326024,0.36326274,0.4034847,0.4316889,0.4344884,0.41191015,0.38073716,0.3537604,0.3366412,0.32640985,0.320591,0.31625304,0.31141278,0.30667183,0.3108141,0.33089805,0.3651962,0.3937925,0.40047023,0.38122204,0.35274115,0.3296794,0.31833446,0.31387588,0.3115909,0.3094193,0.3071417,0.30602205,0.30943426,0.32091418,0.34029606,0.36065456,0.37504247,0.3803101,0.38074902,0.38143003,0.38756558,0.40251747,0.42705747,0.453303,0.46550855,0.45043787,0.4110621,0.36509886,0.33162606,0.31566653,0.31100222,0.30845383,0.304616,0.29968807,0.29707357,0.30395606,0.3275315,0.36656022,0.40403143,0.41865537,0.40051183,0.36055347,0.31866917,0.28934196,0.2749814,0.2714533,0.27396765,0.27954683,0.28678903,0.29596534,0.30742797,0.31864107,0.32428917,0.32003093,0.30904886,0.29940936,0.29931855,0.3106329,0.3322779,0.36272684,0.39703754,0.4246851,0.43018636,0.408886,0.3688573,0.3296109,0.30494615,0.29867306,0.3032899,0.3051788,0.2920589,0.26150748,0.22899842,0.22019039,0.24959368,0.3065014,0.35848212,0.38247737,0.37628123,0.35939285,0.34653687,0.34291026,0.34237826,0.3395921,0.33049634,0.31540814,0.29856896,0.28911474,0.29362884,0.3109952,0.33044067,0.34229687,0.34395322,0.34079123,0.33846104,0.3403794,0.3507136,0.37202933,0.40180957,0.42542633,0.42840126,0.4047111,0.36495185,0.32425985,0.29449368,0.27805617,0.2712556,0.26719224,0.26126972,0.25589845,0.2624242,0.28973454,0.33416322,0.37421456,0.38927412,0.3725946,0.33765864,0.30153534,0.27445337,0.2563081,0.24412584,0.23643379,0.23317243,0.23477912,0.2422897,0.25636604,0.274837,0.29096493,0.2985123,0.29697815,0.29203063,0.2898282,0.29309735,0.30427003,0.32638317,0.35773754,0.38626397,0.39428493,0.37481734,0.33714366,0.3004093,0.2769078,0.26704967,0.26273656,0.25362447,0.23313655,0.2031825,0.17954044,0.18467729,0.22860463,0.29613146,0.35177755,0.37032127,0.34996375,0.31219402,0.27648392,0.25393525,0.24578297,0.2527574,0.2731416,0.3017816,0.3300761,0.35104504,0.3615096,0.36223543,0.35602048,0.34779313,0.34202734,0.33954015,0.337702,0.3357209,0.34098276,0.35979557,0.3881116,0.404336,0.38999036,0.34165302,0.27720588,0.21617739,0.17163984,0.14781915,0.14597195,0.1627722,0.18710323,0.20479226,0.2067036,0.1930768,0.16915248,0.13944407,0.10858822,0.08152221,0.063353345,0.055216566,0.056242,0.067102104,0.09034625,0.12571794,0.1651185,0.19606858,0.21006201,0.20615172,0.19051613,0.16973954,0.15402482,0.15200438,0.1689492,0.19720285,0.22268711,0.2336051,0.22772868,0.20891427,0.18075502,0.14856017,0.120995134,0.108747505,0.11529342,0.1336955,0.15159404,0.16022693,0.15774202,0.14786726,0.13685648,0.13397492,0.1453833,0.17005277,0.19593298,0.2104327,0.20787533,0.19262624,0.17112267,0.1477751,0.12554407,0.10886526,0.10011771,0.09740124,0.095436506,0.095833726,0.105241574,0.12973854,0.16272886,0.19174139,0.20814866,0.21369259,0.21313858,0.20864825,0.20465876,0.21552807,0.25521442,0.32264236,0.3906238,0.43227622,0.43604502,0.4173139,0.39200762,0.36833146,0.33989885,0.300203,0.2469386,0.18661304,0.12989035,0.0869615,0.06183006,0.052523848,0.05559798,0.06957916,0.09509549,0.12937264,0.16593832,0.19481905,0.2089956,0.20491202,0.18455504,0.15364985,0.12256932,0.103477664,0.105392754,0.12825796,0.16228469,0.19415861,0.21535353,0.22568016,0.23037605,0.23449184,0.23975646,0.24440111,0.2447441,0.2369744,0.21861279,0.1898247,0.15360749,0.115349054,0.08077415,0.05381115,0.035203625,0.023388669,0.017161062,0.017550789,0.027787125,0.049445797,0.07949675,0.11139166,0.13983132,0.16585511,0.19043012,0.21159475,0.21982215,0.21227498,0.1935832,0.17579643,0.16376495,0.15662968,0.15428229,0.16147722,0.18027397,0.20075132,0.20798649,0.19594586,0.17225121,0.14967157,0.13630998,0.14039165,0.17257349,0.23716648,0.31954744,0.3879796,0.4199163,0.41464758,0.3926045,0.37139967,0.35947335,0.3553097,0.35563755,0.35685456,0.3580171,0.36328316,0.38072076,0.41101393,0.4432633,0.4571078,0.4440184,0.4100084,0.37421355,0.34787312,0.33353928,0.32551536,0.32110322,0.31994364,0.32355773,0.3315569,0.3420963,0.35145125,0.3561425,0.3540286,0.34686193,0.33769748,0.3289379,0.3216703,0.31993052,0.33292985,0.3659301,0.41290268,0.4525814,0.4672233,0.45191324,0.42056134,0.3896173,0.3706192,0.36443928,0.36571202,0.36606738,0.35994068,0.35032654,0.34975973,0.36950675,0.40795,0.44581804,0.46315444,0.45356262,0.4301288,0.40980956,0.40127993,0.40147653,0.40312028,0.40135118,0.39525723,0.38676074,0.37865242,0.37172422,0.36448684,0.35366905,0.33953202,0.3262554,0.32061517,0.32673404,0.34498242,0.37396333,0.41079867,0.44842803,0.47335002,0.4722289,0.44303188,0.39873815,0.35912132,0.3371974,0.3338648,0.341441,0.350242,0.35454246,0.355309,0.36145318,0.38254014,0.41827193,0.45346847,0.46728352,0.45116377,0.4144731,0.37655762,0.35014334,0.33759582,0.3341752,0.33537233,0.33797923,0.3404901,0.34254822,0.3449429,0.3482122,0.351941,0.35466477,0.35552824,0.354036,0.35079467,0.34755468,0.34903955,0.36219323,0.38811994,0.4189646,0.4371496,0.43344405,0.40977475,0.3813423,0.35966644,0.3525404,0.3623544,0.38924515,0.42560443,0.4553577,0.4630567,0.44464123,0.41082785,0.37791014,0.3590361,0.3608735,0.38522768,0.4263378,0.47078124,0.5002058,0.50471205,0.48588407,0.45511606,0.42271152,0.39712036,0.3868189,0.39728728,0.42529655,0.45384356,0.4660124,0.45466205,0.42820337,0.39907715,0.37803915,0.37258396,0.38751912,0.4200339,0.45549694,0.47447804,0.46633086,0.43667996,0.4013612,0.37382242,0.35840738,0.3520168,0.34979847,0.34972024,0.35401046,0.36835042,0.39604244,0.4319825,0.4610957,0.46758103,0.44740093,0.4116155,0.37782487,0.35660282,0.34802166,0.34584603,0.3449913,0.34389338,0.34290317,0.3426517,0.34182355,0.33788213,0.32804236,0.3132871,0.29979694,0.29536617,0.30311266,0.31944922,0.339905,0.3655534,0.3979111,0.43277606,0.45511708,0.4544296,0.4298282,0.39482632,0.3619921,0.3395798,0.32770804,0.32367137,0.32351616,0.3247354,0.32888547,0.34238613,0.36883762,0.40414873,0.43240166,0.4420292,0.43054208,0.4104006,0.39275715,0.38381973,0.3799982,0.37495402,0.36193514,0.33861467,0.30908597,0.28348646,0.27049935,0.27183017,0.27985153,0.286273,0.2855955,0.27832374,0.26687852,0.25777885,0.26124802,0.28552225,0.3274999,0.3678869,0.384626,0.36720112,0.32534418,0.2776021,0.23958378,0.21631789,0.20547043,0.20129895,0.20017783,0.2036454,0.22084129,0.25883144,0.3147211,0.3681591,0.39685383,0.3883437,0.3514466,0.30430463,0.2645633,0.23927943,0.22682999,0.22079568,0.21527241,0.20885555,0.20448308,0.20561652,0.21156609,0.21696997,0.21727185,0.21265864,0.20721616,0.2041756,0.20524329,0.2144282,0.23861331,0.2793214,0.32566774,0.35628188,0.35659066,0.32775795,0.2867467,0.25125203,0.23129947,0.22647114,0.22828078,0.22691973,0.21712816,0.20788068,0.21614338,0.25258127,0.30604014,0.34905878,0.36055192,0.34016034,0.30559132,0.27409932,0.2552804,0.25146717,0.26245716,0.28527305,0.31300303,0.3387945,0.35831225,0.3715116,0.37906775,0.38129687,0.3778704,0.3681878,0.35206077,0.33196256,0.31578282,0.316721,0.34176394,0.3853469,0.4253719,0.44295192,0.42957696,0.39515993,0.3520627,0.3127644,0.2839109,0.27050006,0.2722119,0.28500977,0.3052576,0.33497247,0.3756244,0.42011198,0.4484137,0.44531015,0.41162875,0.36865413,0.33717942,0.3260696,0.3285115,0.33511904,0.3411877,0.3481187,0.35794583,0.36943904,0.37673,0.37187245,0.3504518,0.31741706,0.28711587,0.27447367,0.28580475,0.31604052,0.35663465,0.40019664,0.44042107,0.46708918,0.46961167,0.44429696,0.39952436,0.35058475,0.31105697,0.28664586,0.27609643,0.27418575,0.27715704,0.28537416,0.30430073,0.33745405,0.37900606,0.4120576,0.4192846,0.39686397,0.3575704,0.3208474,0.29851067,0.29033813,0.28945836,0.28919804,0.28708103,0.2828242,0.27916726,0.27880585,0.28403005,0.29283908,0.30111888,0.30533543,0.30553636,0.30462208,0.3073165,0.3190719,0.3453598,0.38253775,0.4175463,0.42863786,0.4067965,0.35732996,0.30021086,0.2494082,0.2124982,0.19178404,0.1910022,0.20977396,0.23762532,0.25789866,0.25859055,0.23983759,0.2101595,0.17751127,0.1470675,0.12100338,0.10129056,0.08769309,0.08064765,0.083286844,0.10120382,0.1362496,0.1804601,0.21838151,0.23630369,0.23021074,0.20678003,0.1765827,0.15076984,0.13586146,0.13349545,0.13714916,0.13885559,0.13568431,0.1340643,0.14316905,0.16560334,0.19468814,0.21830249,0.22627394,0.21425323,0.18578847,0.15110596,0.12175087,0.103840835,0.09541887,0.091148086,0.089719795,0.092915274,0.101497464,0.10993392,0.11351836,0.112309635,0.11214998,0.116909675,0.12649469,0.14176911,0.16649143,0.20550852,0.25482723,0.30484876,0.34367537,0.36659443,0.37315765,0.36757746,0.35497072,0.3415822,0.32864425,0.31318942,0.29266664,0.2762849,0.2812812,0.31770924,0.37299585,0.4173189,0.4279934,0.40510246,0.36911044,0.3396816,0.32400432,0.31637585,0.30836937,0.29678902,0.28663814,0.28893647,0.314332,0.3617141,0.41611722,0.45264557,0.4574273,0.43235394,0.39566842,0.362955,0.3430265,0.3344697,0.33353674,0.33551025,0.33792308,0.33992705,0.34223315,0.34424147,0.34468278,0.34226087,0.33889297,0.33668804,0.33617198,0.33595112,0.33726725,0.34792542,0.37344483,0.41098598,0.44177285,0.44919047,0.42768598,0.3924061,0.3620094,0.34821916,0.34825054,0.35232976,0.35102192,0.34119818,0.32740334,0.321635,0.33266988,0.35958675,0.38539895,0.39434686,0.38098815,0.35728252,0.3369808,0.3275857,0.327914,0.33415768,0.34323204,0.3519653,0.35828432,0.362529,0.3666792,0.37171045,0.3744727,0.37119302,0.3595705,0.3407772,0.3176013,0.29570863,0.28565595,0.29880092,0.3369256,0.38447323,0.41578904,0.41364595,0.38006178,0.33270177,0.28991833,0.2629126,0.25414348,0.25893638,0.26787362,0.2719148,0.27311966,0.28395453,0.31584835,0.36251068,0.40246582,0.41685745,0.4047067,0.37844983,0.34918728,0.31915584,0.2877978,0.2572028,0.23258595,0.21659611,0.2095417,0.20964889,0.2144074,0.21948932,0.22074284,0.21745521,0.21173887,0.20598839,0.20162155,0.20305844,0.22062437,0.2598747,0.31455088,0.3603398,0.37786064,0.36017928,0.32265863,0.28278044,0.25514883,0.24256231,0.24096902,0.24062097,0.23408836,0.22420615,0.22757764,0.25807425,0.31270245,0.36307287,0.38357604,0.36570644,0.3279737,0.29044986,0.2667178,0.25848827,0.2647405,0.28187346,0.30328837,0.32259858,0.33635476,0.3452706,0.34880933,0.34506556,0.33359733,0.3195313,0.31026122,0.31062904,0.3203586,0.33824167,0.36225685,0.3884574,0.40717444,0.4095154,0.39319906,0.36639157,0.34095433,0.32576787,0.32350382,0.33104083,0.342126,0.3500751,0.35377303,0.35963985,0.37629044,0.40368846,0.42918155,0.43680203,0.42223987,0.39529553,0.37052533,0.35297087,0.3393201,0.32369706,0.3054541,0.28685725,0.27119145,0.26178125,0.26122987,0.26957154,0.28161666,0.29108304,0.29508543,0.29632306,0.2983649,0.3032657,0.31316626,0.33319604,0.36453676,0.39929232,0.41951096,0.41400456,0.38413545,0.34492788,0.3097237,0.2861394,0.27351487,0.26690412,0.2593731,0.24847423,0.24158181,0.25396755,0.29166487,0.34304333,0.3799146,0.38556817,0.36203024,0.33067098,0.30670968,0.29523325,0.29047415,0.28789628,0.28564906,0.28440663,0.28532514,0.28919122,0.2952492,0.30092517,0.30294815,0.3011614,0.29715157,0.2926018,0.2873156,0.2837625,0.2904416,0.31398872,0.35105252,0.38138857,0.38639495,0.35907865,0.31365523,0.26790366,0.23575924,0.21888697,0.2126944,0.20762736,0.19706088,0.18332098,0.1833456,0.21376748,0.2760554,0.34401345,0.38639697,0.38503098,0.35043362,0.3038675,0.26548848,0.24295396,0.23698509,0.2435407,0.2581661,0.2765781,0.2958279,0.31269786,0.32344648,0.32511446,0.31848732,0.3088554,0.30192682,0.30092466,0.30583897,0.31899092,0.34390774,0.3789064,0.41144666,0.42337915,0.40730587,0.36909857,0.3229436,0.27670383,0.23627152,0.2081695,0.2000184,0.21088994,0.23071969,0.25173873,0.2761705,0.30989802,0.34908617,0.3780601,0.3855599,0.37278864,0.35232437,0.33099797,0.30927435,0.28393444,0.25721857,0.23430614,0.22054441,0.2187848,0.2290159,0.24710242,0.2647632,0.27351174,0.27095005,0.26162726,0.25242987,0.24814726,0.25197324,0.27037486,0.30513147,0.3492551,0.38045105,0.38313618,0.3558954,0.31770262,0.28543958,0.26759812,0.26251495,0.26806667,0.2817942,0.300115,0.3192848,0.34206566,0.3711933,0.40577066,0.42988977,0.4310312,0.40425035,0.3652141,0.3302152,0.31137988,0.30633947,0.30893493,0.31164154,0.31064415,0.30303112,0.28939727,0.27130106,0.25158373,0.22978528,0.20799024,0.19194572,0.19115354,0.20831074,0.23599549,0.26276594,0.28242126,0.29698431,0.30780026,0.3115674,0.30153325,0.27561668,0.23910494,0.2021194,0.17658307,0.1721406,0.19279625,0.2315666,0.27158296,0.2942538,0.2890428,0.25828817,0.21426328,0.17463435,0.15638007,0.16820724,0.20425017,0.24532449,0.27127254,0.27302405,0.25500473,0.22780947,0.2016117,0.18639834,0.19054806,0.21718873,0.25878915,0.30101064,0.32918975,0.3347535,0.31700745,0.285791,0.26049864,0.26448914,0.30616722,0.37227973,0.42898783,0.45196423,0.43633905,0.40157866,0.36671785,0.34297052,0.32872242,0.3177221,0.30254045,0.28041092,0.25905764,0.2568611,0.2866447,0.3433722,0.39880836,0.42807242,0.4199086,0.3857212,0.33898482,0.29398125,0.25943932,0.24186684,0.2384635,0.2384382,0.23182999,0.21948433,0.2116852,0.2163374,0.23019578,0.24348895,0.24851544,0.24419159,0.2315187,0.21147104,0.18619438,0.15989938,0.13737082,0.12216091,0.12055132,0.14175065,0.19016409,0.25630027,0.3172659,0.35543123,0.3679602,0.36631653,0.35873958,0.34785995,0.33540043,0.327108,0.32743382,0.33154356,0.33295518,0.33136103,0.33458474,0.34737173,0.36505294,0.3823038,0.39857545,0.41928554,0.44281545,0.4624913,0.47290006,0.47757939,0.483809,0.49246803,0.49832284,0.49592647,0.48604378,0.47266984,0.45903465,0.44892347,0.44763985,0.4577709,0.4733384,0.4801049,0.4693725,0.44176486,0.40714905,0.3725264,0.3446324,0.33131292,0.34037712,0.37045148,0.4077923,0.43749943,0.455375,0.46704924,0.47756782,0.48221424,0.47707036,0.46476495,0.4574081,0.4611063,0.47239578,0.48076305,0.4793315,0.46732315,0.447301,0.42317703,0.39901993,0.37709427,0.3549221,0.3284308,0.30077368,0.28506827,0.296863,0.33914372,0.39844504,0.45031223,0.47435805,0.46297467,0.42574742,0.38204852,0.35118082,0.34112248,0.3477905,0.35984373,0.36821565,0.3689183,0.36231992,0.3497236,0.33367243,0.32040787,0.31789103,0.33145094,0.35675606,0.38247943,0.39690176,0.3957502,0.38339877,0.36710307,0.35556033,0.35501996,0.37071,0.3995774,0.4326246,0.45803764,0.47037122,0.46945417,0.45707223,0.43279862,0.3981835,0.35564086,0.31123438,0.27059495,0.24755333,0.25531682,0.29850128,0.35790455,0.4040748,0.41953897,0.41221985,0.40283707,0.40173194,0.40429497,0.40159094,0.39250115,0.38306925,0.37878835,0.38497245,0.40575436,0.44262758,0.48601523,0.5181924,0.5246561,0.5040897,0.46683717,0.4251121,0.38720354,0.3586899,0.3426248,0.33992943,0.3456651,0.3530068,0.3547128,0.34566262,0.32317212,0.28964162,0.25865522,0.24914213,0.27529487,0.33227512,0.40153965,0.463863,0.50962466,0.5388996,0.55255455,0.5553946,0.55255747,0.55164033,0.55333066,0.5552352,0.5558724,0.5572586,0.5603232,0.5599714,0.551385,0.5373306,0.5249259,0.51785994,0.5091572,0.4959974,0.4832261,0.4832056,0.4976758,0.5179582,0.53281784,0.53676575,0.52754325,0.50218207,0.4643085,0.43076447,0.42175505,0.4443245,0.48186794,0.5124751,0.52360415,0.51985997,0.50912243,0.49539673,0.48065114,0.4694731,0.46817374,0.4737616,0.47423998,0.45716926,0.4237934,0.3883086,0.36609498,0.3622847,0.3717163,0.3861092,0.4001629,0.41228244,0.42451477,0.43936607,0.45593628,0.4665167,0.4622951,0.4432129,0.42122388,0.410706,0.4156653,0.42682886,0.4313197,0.42188743,0.40161872,0.37804332,0.36072937,0.35482177,0.36174986,0.37557206,0.38754997,0.3893174,0.37959042,0.36382338,0.35193452,0.35245338,0.37053958,0.40201604,0.4356976,0.4539361,0.4483626,0.42103627,0.38672563,0.35726115,0.33885935,0.3298899,0.32643524,0.3242631,0.32032064,0.31759566,0.3253621,0.35064188,0.38766143,0.4153383,0.4173646,0.39291725,0.35981908,0.33336663,0.3198854,0.31495073,0.31430265,0.3155551,0.31837586,0.3221285,0.32680157,0.3319632,0.3370644,0.33945632,0.33881974,0.33661652,0.3381017,0.346807,0.36506674,0.39291707,0.4266453,0.45727316,0.47013065,0.45765054,0.42379048,0.38568008,0.35724637,0.34333444,0.33850038,0.33663476,0.33404887,0.33059952,0.32869184,0.33568978,0.35798886,0.39541733,0.4331235,0.4538312,0.44705856,0.4196881,0.38492075,0.35523546,0.33516487,0.32494104,0.32238293,0.3245671,0.32896543,0.3336799,0.33747694,0.3375446,0.3309172,0.3174354,0.30368212,0.2980983,0.30546585,0.32195544,0.34340203,0.36810312,0.39619318,0.4205935,0.42976037,0.41776583,0.39081526,0.3625078,0.34223282,0.33120885,0.3241212,0.31251705,0.29040727,0.25990257,0.23753001,0.2441297,0.28853008,0.35422596,0.40988538,0.4319137,0.41921568,0.38835707,0.35728744,0.33600214,0.32568702,0.32253906,0.3209233,0.31698468,0.31269112,0.3143008,0.32630995,0.34527636,0.36184523,0.36818305,0.3628913,0.3499881,0.33606067,0.32934865,0.3397492,0.3699915,0.41202816,0.4449354,0.453434,0.43296453,0.39497808,0.35186115,0.31478345,0.28868333,0.2748638,0.2688067,0.2648189,0.26267853,0.27295744,0.30517533,0.35722706,0.4069794,0.43289092,0.4249886,0.3947065,0.35727632,0.32499513,0.30160573,0.28858802,0.2858615,0.2912377,0.30100563,0.31272826,0.32588777,0.33986625,0.3502184,0.35299978,0.34745905,0.33901477,0.33354643,0.33613357,0.3504664,0.37874356,0.41608587,0.44757912,0.45496288,0.42993692,0.38061973,0.32553068,0.2815431,0.25625905,0.24744958,0.24494036,0.2380986,0.22368616,0.21423084,0.22788258,0.27237034,0.33079353,0.37427244,0.383237,0.36148754,0.3271066,0.2970725,0.2797542,0.27821004,0.29232243,0.3181971,0.3463825,0.36786106,0.37777105,0.37752247,0.37007096,0.35862386,0.34652293,0.33654726,0.32912663,0.32276562,0.31924832,0.32724705,0.35237166,0.38950646,0.41685084,0.41728726,0.38540283,0.33453205,0.27820733,0.22857477,0.19351996,0.17981453,0.18761402,0.20673253,0.22393644,0.23030448,0.22561635,0.21203536,0.19099106,0.16461092,0.13735501,0.11509002,0.10038071,0.093872756,0.09605229,0.10927085,0.13313134,0.16250817,0.18736571,0.200839,0.1998988,0.18824184,0.16927652,0.15047379,0.13819925,0.13866645,0.15017225,0.16626437,0.1793174,0.18478356,0.18130618,0.16881132,0.15133785,0.13668646,0.13305007,0.14202479,0.15638524,0.16623841,0.16472739,0.15221013,0.13355383,0.11732259,0.11230355,0.12286621,0.14497305,0.16712926,0.17946465,0.17919819,0.17107077,0.16035616,0.14976102,0.14059396,0.13418007,0.1310643,0.12852995,0.124467015,0.12134495,0.12587683,0.14132674,0.16255917,0.18050708,0.19079252,0.19574626,0.19961073,0.2047305,0.21600722,0.24251716,0.2889811,0.34522402,0.38685116,0.3957769,0.37204322,0.33378384,0.2982191,0.27323398,0.25567177,0.23827696,0.21562517,0.18757118,0.1610068,0.14316195,0.13707341,0.13868031,0.1430705,0.1474117,0.15053868,0.15000384,0.14281645,0.12961493,0.115377165,0.105817415,0.10319728,0.10588107,0.11265224,0.12282743,0.1349997,0.14416558,0.14575072,0.14009315,0.13234477,0.1272977,0.12441268,0.12064281,0.1148996,0.10908746,0.104993165,0.10115954,0.09689265,0.09330314,0.09358264,0.09741645,0.10186973,0.104140095,0.103911765,0.10188339,0.097196735,0.090357,0.08524039,0.08883562,0.10475075,0.13104926,0.16130926,0.19103712,0.21598603,0.23352772,0.23927946,0.23568998,0.22826706,0.2248543,0.22507982,0.22511317,0.22199635,0.21793516,0.21557187,0.21324871,0.20903288,0.20449601,0.2044655,0.21072473,0.22192563,0.24160768,0.27840623,0.33629015,0.40103343,0.4470359,0.45702127,0.43573037,0.40344405,0.37847522,0.36784604,0.3687668,0.3745303,0.37976447,0.3833181,0.39094368,0.41012874,0.4414562,0.47333035,0.4888254,0.4801893,0.45385966,0.42453125,0.40251347,0.39081255,0.3876224,0.39014864,0.39524278,0.39933673,0.40092984,0.39985952,0.39715195,0.39246723,0.3867936,0.3819137,0.38017258,0.38059393,0.38202474,0.38534102,0.39719358,0.4195679,0.44739866,0.46472582,0.46246484,0.44049272,0.41186497,0.38752857,0.37417004,0.37067747,0.37300885,0.37618724,0.37854198,0.3842504,0.40179136,0.43254137,0.46659184,0.48396274,0.47516716,0.44478646,0.41072813,0.38476872,0.37044695,0.36302066,0.35854986,0.3548055,0.35262525,0.35412836,0.361609,0.37382972,0.38662127,0.39456126,0.39675036,0.39556488,0.3947686,0.39531827,0.39814806,0.40662158,0.424203,0.4488778,0.46943402,0.47444323,0.45968428,0.43304014,0.40554866,0.38589945,0.37631762,0.3760796,0.38255525,0.39331493,0.40719143,0.4261516,0.45178998,0.48025393,0.5004366,0.50151014,0.48240247,0.45195666,0.42209104,0.39891183,0.3844359,0.37796164,0.37896928,0.38473067,0.3919997,0.39839768,0.40280184,0.40431988,0.40126824,0.39407966,0.38568142,0.3802433,0.3794602,0.38376322,0.39520428,0.41840696,0.4521588,0.4860817,0.50274605,0.49483275,0.46798733,0.43844923,0.4180317,0.4128114,0.4238651,0.44752145,0.47430146,0.4889753,0.48394123,0.46164432,0.43471837,0.4123468,0.40013325,0.4008493,0.41723943,0.44563508,0.47314474,0.48419094,0.47286907,0.44615808,0.4176729,0.39780796,0.39299834,0.4059534,0.43325844,0.4635698,0.4807134,0.47748265,0.4574239,0.4331014,0.41391027,0.40626538,0.4137754,0.43567362,0.4643885,0.48399034,0.48387197,0.46293077,0.43395588,0.4103893,0.40120694,0.405313,0.41597775,0.42546144,0.4304942,0.4345142,0.44528794,0.46619073,0.4918557,0.50756377,0.504106,0.48248398,0.45600653,0.43537053,0.42478204,0.42096558,0.42010596,0.4199879,0.41981992,0.4201409,0.42156026,0.42304137,0.42129222,0.4132261,0.4012344,0.39222154,0.39263025,0.40237868,0.41692087,0.43346563,0.4535459,0.4770327,0.49738863,0.5033141,0.49088418,0.46601704,0.44189414,0.426497,0.42123687,0.42197087,0.42492306,0.42817235,0.43289733,0.44312248,0.46281424,0.48934516,0.51232857,0.517936,0.502021,0.470361,0.4359533,0.40685034,0.38748932,0.37801242,0.37757167,0.3826846,0.38903365,0.3949218,0.40084204,0.40802482,0.41494206,0.42003843,0.42339027,0.4266117,0.42999986,0.43286443,0.43683648,0.44733274,0.46615705,0.48730326,0.49661827,0.48661065,0.46055582,0.4326727,0.41419724,0.40888712,0.41243127,0.41842905,0.4225552,0.42476723,0.42927682,0.44204596,0.46333766,0.48624882,0.497506,0.49093136,0.46898332,0.44311497,0.42182994,0.40953147,0.4055368,0.40740928,0.41157755,0.41450694,0.4158192,0.41747987,0.42203817,0.42881003,0.435289,0.43947563,0.44160375,0.44226786,0.4419376,0.4423683,0.44892362,0.4666973,0.49422503,0.5208476,0.5333235,0.5268453,0.50757116,0.48793074,0.47714183,0.47906244,0.49296594,0.5130952,0.5306931,0.5353554,0.52588046,0.50761575,0.49126136,0.48179615,0.48224458,0.49341115,0.51393795,0.5361809,0.54789776,0.54376847,0.528274,0.51361424,0.5069533,0.509847,0.5200042,0.5357141,0.553262,0.56596833,0.5676088,0.5580518,0.5426853,0.5280196,0.5171613,0.51164323,0.5125554,0.51709193,0.51725227,0.5010255,0.4651072,0.41523266,0.3656248,0.32567587,0.29878914,0.28046823,0.26333702,0.24007408,0.210948,0.18810815,0.1929282,0.23584437,0.30492777,0.363881,0.38293138,0.35277882,0.2923834,0.22494338,0.16907458,0.13074985,0.109291576,0.09896272,0.09390372,0.093212426,0.10187295,0.12375482,0.15423965,0.17963131,0.18969713,0.18358557,0.17008667,0.15765078,0.15467696,0.17180677,0.21797378,0.28974733,0.36294594,0.4094602,0.4147203,0.39056727,0.3587997,0.33663473,0.32531992,0.31643,0.29823384,0.26596758,0.22734793,0.20432074,0.21688502,0.26650366,0.32585025,0.3601084,0.34827688,0.29832533,0.23227005,0.17240067,0.13024741,0.10869161,0.10319194,0.10561239,0.11066377,0.12156574,0.14682592,0.18968946,0.24085732,0.2848738,0.3113447,0.321333,0.32239187,0.32366315,0.33320227,0.35774747,0.3951966,0.4330274,0.45148838,0.4413527,0.4077481,0.36844805,0.33709756,0.31890985,0.3084478,0.2960768,0.27285942,0.23954238,0.21090734,0.20999984,0.24683945,0.30657995,0.35279778,0.35796285,0.3171891,0.25095695,0.18262488,0.1300866,0.099886805,0.09086279,0.0950649,0.10260826,0.10960281,0.11972652,0.13763632,0.16019452,0.17649524,0.17929035,0.16955186,0.1554693,0.14400856,0.14369799,0.16643694,0.22019415,0.29800355,0.3724496,0.41763082,0.42327753,0.40379953,0.3780851,0.35949823,0.34743562,0.3345138,0.31069756,0.2731894,0.23163195,0.20986968,0.2267503,0.28210083,0.34692773,0.39008293,0.3945805,0.37193608,0.34145805,0.31954506,0.30905566,0.30667046,0.306644,0.30570582,0.3038256,0.30366346,0.3069904,0.3124191,0.31542683,0.31343016,0.30752265,0.30169263,0.29843247,0.29952753,0.30888417,0.33228314,0.36962008,0.4092907,0.43287864,0.42943594,0.40278777,0.3671073,0.33568922,0.3148329,0.3051883,0.30298474,0.30381432,0.3047097,0.3099524,0.32772222,0.36197758,0.40426242,0.43674138,0.44608474,0.4314414,0.4042388,0.37703156,0.35863948,0.35187912,0.35555434,0.36525497,0.37501287,0.38112262,0.38325366,0.38392785,0.38493323,0.38640618,0.38802853,0.38940766,0.38997522,0.38891232,0.38845894,0.39629975,0.41716608,0.4476527,0.47017822,0.4717456,0.44817746,0.4124752,0.37734714,0.3532356,0.34148577,0.34023866,0.34473214,0.35253882,0.36564982,0.3906771,0.42767945,0.46710157,0.48941794,0.48574147,0.46019435,0.4305943,0.4091042,0.40029836,0.40034923,0.4043086,0.4074153,0.40611008,0.40011945,0.39202264,0.3853458,0.38108552,0.37755895,0.3732635,0.36828223,0.36364985,0.3598609,0.35856488,0.36545053,0.38702992,0.4229032,0.46039465,0.48118117,0.47549453,0.44841766,0.4157213,0.39029202,0.3773313,0.3736467,0.3738946,0.37375864,0.3736818,0.3793358,0.3968118,0.42507693,0.45142817,0.4593728,0.44090042,0.4037228,0.36415204,0.3358848,0.32254457,0.32073703,0.3239292,0.32800302,0.33108535,0.3355241,0.34386942,0.35768107,0.37447035,0.39036873,0.40193772,0.40786186,0.4087545,0.4079409,0.41171098,0.42730427,0.45441982,0.48353347,0.49765256,0.488142,0.45678982,0.41675153,0.38076568,0.36031365,0.36307988,0.3887429,0.4264969,0.45516264,0.4605031,0.4405115,0.40861654,0.37839898,0.36098006,0.36230662,0.38577315,0.4258244,0.46695948,0.4903489,0.487429,0.46321896,0.43057504,0.40132523,0.3854382,0.39204288,0.42335102,0.4698752,0.50963086,0.52501863,0.5107014,0.47760037,0.4397817,0.40968263,0.39454278,0.39840087,0.41969502,0.44873813,0.46969473,0.46822646,0.44139025,0.40010786,0.3618646,0.3375152,0.32636926,0.32069218,0.31613314,0.31330863,0.31365797,0.31354687,0.30454615,0.28036413,0.24441731,0.21523167,0.21666034,0.2619489,0.33857742,0.41595218,0.46578935,0.4804437,0.47141513,0.45333445,0.43247986,0.4048717,0.36653015,0.320037,0.2786875,0.26090208,0.27981642,0.33207047,0.39579836,0.44308856,0.45711172,0.4404877,0.408911,0.3772944,0.35283068,0.33515954,0.32174549,0.3097191,0.29758966,0.28740564,0.2845676,0.29397038,0.311908,0.32726774,0.32916847,0.31741154,0.30192605,0.2943877,0.30138743,0.3222884,0.35282353,0.3851767,0.41080824,0.421217,0.4111779,0.37866345,0.32671687,0.26458678,0.20730717,0.16910334,0.15514977,0.15830253,0.16486704,0.1638217,0.15156613,0.13047357,0.104939125,0.07974502,0.059021425,0.04536782,0.038379684,0.0354896,0.033707216,0.031264212,0.027626796,0.023126744,0.01870457,0.015742194,0.015323282,0.017449198,0.02081354,0.023649812,0.024642296,0.023431113,0.020389153,0.01640386,0.012672659,0.010375269,0.01010158,0.011462823,0.013332096,0.01452021,0.014352597,0.012812898,0.010345279,0.007626213,0.0052848556,0.0037070941,0.0028803211,0.0025397304,0.002362707,0.0021723935,0.0019068233,0.0015765989,0.0012039662,0.0008481699,0.0005822524,0.00045658046,0.00045376876,0.0005017503,0.0005232903,0.0004797032,0.0003814413,0.00026914533,0.00019128805,0.00019025257,0.0003097575,0.00062253734,0.0012690938,0.002452849,0.004406855,0.0073579303,0.011607873,0.017553506,0.025389438,0.03562881,0.049775988,0.072666444,0.109233476,0.16151313,0.22171016,0.27799344,0.31915486,0.34410623,0.3573798,0.36569574,0.37063995,0.36850432,0.3518133,0.3161545,0.26738,0.22356604,0.20652197,0.22708233,0.27540693,0.32505608,0.34935805,0.33661124,0.29435948,0.23960346,0.18856366,0.15123999,0.13401437,0.13924086,0.16403924,0.19876653,0.23195934,0.25465116,0.26225927,0.25366983,0.23260082,0.21000014,0.19938914,0.20874955,0.23338778,0.26242176,0.28709367,0.30665168,0.3228778,0.33481184,0.33641735,0.32015213,0.282712,0.22949523,0.17560583,0.13931894,0.13277607,0.15421075,0.18908621,0.21782203,0.22616148,0.21134347,0.18127,0.14836244,0.12229839,0.10733106,0.103259295,0.10856786,0.1210384,0.1378149,0.15544707,0.17140485,0.18414187,0.19138606,0.18863042,0.171579,0.14127259,0.10731146,0.08354136,0.07957286,0.09361228,0.11417854,0.12759274,0.12740086,0.11690688,0.10570034,0.10112206,0.10435054,0.11131951,0.11828818,0.12404468,0.12885813,0.13225108,0.13269246,0.12894823,0.1201678,0.105956584,0.0866775,0.06481801,0.04469614,0.030225478,0.022497041,0.019494878,0.018176055,0.016585698,0.014750672,0.01390405,0.015158658,0.01834198,0.021881735,0.023837462,0.023139501,0.02010413,0.015859319,0.011579886,0.008036687,0.005535955,0.004059223,0.0034758456,0.0039259517,0.00580359,0.009330683,0.013886158,0.018166797,0.02124887,0.023609899,0.026631149,0.030605072,0.03362873,0.032768108,0.027037859,0.018530611,0.011295543,0.0087289335,0.012319226,0.02122993,0.032589737,0.042327717,0.047005672,0.04567072,0.040064573,0.03315905,0.027213791,0.022988113,0.020062448,0.017696904,0.015921036,0.016239665,0.022039736,0.03610286,0.058434416,0.08449278,0.10916191,0.12915474,0.1444043,0.15538923,0.16398703,0.17525679,0.19556926,0.22743957,0.26521814,0.3010331,0.33087346,0.35698438,0.3818545,0.4042969,0.42062306,0.42643976,0.41765368,0.3919331,0.356306,0.3318714,0.3426689,0.3949676,0.46417436,0.5122909,0.51583844,0.48261964,0.43830383,0.4044517,0.3861548,0.37740552,0.37048647,0.36319527,0.35904953,0.36707,0.39401984,0.43747687,0.48123327,0.50462794,0.49710557,0.46524346,0.42678407,0.39604583,0.3781372,0.3700372,0.36782584,0.369182,0.37411544,0.38377,0.39861295,0.4170705,0.43470445,0.44755843,0.45434853,0.45697963,0.45689186,0.45563677,0.4559584,0.46477494,0.48327753,0.505003,0.51312953,0.50022864,0.46993235,0.438908,0.4176966,0.40874633,0.4056613,0.40139875,0.39062378,0.3725743,0.35407445,0.34893522,0.3659509,0.40055922,0.43219352,0.44582424,0.43898925,0.42459527,0.41194627,0.40457797,0.40114665,0.4013997,0.40523794,0.4099263,0.4136206,0.41642353,0.42069235,0.42671755,0.43173108,0.43235126,0.42602614,0.41274914,0.39470252,0.3787173,0.3759962,0.39528307,0.43452618,0.4758271,0.49770275,0.4877045,0.45248854,0.4084885,0.37303647,0.35512784,0.35722473,0.37413207,0.3964101,0.41348436,0.42335892,0.43317282,0.4521624,0.47824124,0.49927554,0.5049959,0.49833128,0.48955175,0.4838256,0.47656393,0.46168014,0.4391642,0.4150335,0.39528394,0.38368595,0.38132274,0.38751057,0.3987151,0.4100765,0.41798046,0.42122337,0.4208282,0.41952324,0.42350498,0.44085124,0.47314963,0.5102916,0.53186053,0.52428013,0.48819765,0.43971297,0.39621517,0.3685926,0.35664317,0.34985223,0.33441398,0.3038218,0.27072272,0.26206174,0.2958795,0.36331034,0.4285052,0.46172437,0.4550428,0.42689714,0.39671925,0.3777602,0.37337658,0.3831847,0.40320602,0.42547908,0.44346437,0.45255628,0.4518168,0.4396617,0.41760644,0.3919362,0.37307048,0.36809006,0.37662658,0.39392126,0.41803825,0.4481124,0.48077855,0.5040308,0.50897366,0.4933189,0.4682374,0.44484589,0.4314365,0.42660663,0.424922,0.41891894,0.40611735,0.3916061,0.38844052,0.40556893,0.44078898,0.47492886,0.49102473,0.48285404,0.46385047,0.44819856,0.44361237,0.44500622,0.44463757,0.43610382,0.41857585,0.3961585,0.37784445,0.37080395,0.37604174,0.38572899,0.39273563,0.39479482,0.3957061,0.3972707,0.40014696,0.40717492,0.42579415,0.458065,0.4935132,0.5115456,0.49936715,0.46079338,0.41428816,0.37671992,0.3555479,0.34743425,0.34398448,0.33786944,0.32841995,0.32596028,0.34470978,0.38860545,0.44175312,0.47660127,0.47685048,0.4477018,0.41031182,0.381598,0.36704102,0.36308217,0.3649162,0.37002113,0.37655267,0.38436365,0.39240035,0.39904758,0.401088,0.39722678,0.39033893,0.38447228,0.38147625,0.38020992,0.38287163,0.39801392,0.43082425,0.47489795,0.50712365,0.50975496,0.4792292,0.43356165,0.39104104,0.3630742,0.34738216,0.33515272,0.3149375,0.28183013,0.24576755,0.23274092,0.26349655,0.33450523,0.4091412,0.45080116,0.44459796,0.4102476,0.37379512,0.35295463,0.34858415,0.35580492,0.36903015,0.38370726,0.3968853,0.40715125,0.41457447,0.41886523,0.41880155,0.41480622,0.40897188,0.4048405,0.40424466,0.40877947,0.4211295,0.44396022,0.47371647,0.49764672,0.49985597,0.47458753,0.43034613,0.3842272,0.34837577,0.32751378,0.31943077,0.31894115,0.31817603,0.31216934,0.30687562,0.31693658,0.35225078,0.40232196,0.44178745,0.45085254,0.4303801,0.39715278,0.36613333,0.34352145,0.32830155,0.31959978,0.31646422,0.31821966,0.32388946,0.33186862,0.3387343,0.33937755,0.3317733,0.31870174,0.3063786,0.2989644,0.29983863,0.3137159,0.34823442,0.4012264,0.45747295,0.48970804,0.4841036,0.44435683,0.39248013,0.34603918,0.3161082,0.304082,0.3074499,0.3173839,0.32477736,0.3280579,0.3396118,0.36921254,0.41238979,0.44207358,0.43874335,0.40129244,0.35358608,0.31542617,0.29431188,0.28427282,0.27882123,0.27454045,0.26837054,0.25864425,0.24689512,0.2375793,0.23228972,0.22596543,0.21565759,0.20557766,0.2068185,0.22264676,0.24553019,0.26305375,0.2702191,0.27082288,0.2699739,0.2675154,0.25818253,0.23717307,0.20629977,0.17445265,0.15588212,0.16112219,0.19076641,0.23118865,0.26160327,0.26635167,0.2430046,0.20227921,0.15880959,0.12770218,0.12071719,0.14283206,0.1852111,0.22644706,0.24622245,0.23782574,0.2109883,0.18127643,0.16232413,0.16178595,0.18063505,0.2122388,0.24527575,0.27002835,0.28317294,0.28598502,0.28201398,0.27652624,0.27954295,0.30264735,0.3487524,0.405632,0.44949284,0.46467066,0.45146427,0.42551222,0.3993777,0.3778002,0.35697398,0.33326387,0.30500937,0.27652627,0.25948656,0.27029553,0.31429484,0.37621346,0.4233432,0.4321762,0.4013393,0.35084078,0.3008645,0.26317668,0.2403969,0.23031957,0.22713594,0.22164917,0.21003179,0.1964513,0.19118442,0.19781601,0.2109273,0.22103685,0.2236238,0.21907832,0.20869099,0.19274502,0.17334265,0.15336537,0.13582884,0.12212419,0.11805754,0.13104694,0.16338998,0.20446754,0.23671202,0.25186476,0.25508818,0.25791192,0.26286066,0.2663417,0.267853,0.2719942,0.28249308,0.2927727,0.29857597,0.3003321,0.30557677,0.3142223,0.32197657,0.32759118,0.33683684,0.3546147,0.37549517,0.3904315,0.39722776,0.4024193,0.4122394,0.4234598,0.43033394,0.43059275,0.42758787,0.4230354,0.41616943,0.4110321,0.416132,0.43686727,0.4632323,0.47703698,0.4670422,0.43885028,0.40639138,0.3793788,0.3603846,0.35152808,0.35520986,0.37078962,0.3907827,0.40966466,0.42802587,0.44932374,0.46940348,0.4765835,0.46470678,0.44132125,0.4232434,0.4206849,0.43171573,0.4470302,0.45787036,0.45818582,0.44366089,0.41477382,0.3782854,0.3437136,0.31626418,0.29591012,0.2850506,0.2905327,0.3184031,0.36139712,0.40213576,0.42271683,0.41873953,0.39730778,0.37104633,0.3495929,0.33929038,0.34137407,0.35288954,0.36550733,0.37229177,0.37025788,0.3631209,0.35579824,0.35237777,0.3560983,0.36823407,0.3877574,0.40587747,0.41363558,0.40476176,0.383593,0.35771188,0.33603558,0.3246733,0.32819644,0.34685314,0.3747079,0.40264925,0.42330232,0.43450102,0.43640184,0.42946342,0.413231,0.38822362,0.3539418,0.31275985,0.2720712,0.2507542,0.2647213,0.31399128,0.37212113,0.40910587,0.41345406,0.4010316,0.393469,0.39862695,0.4080058,0.41149536,0.40649524,0.39895806,0.39612445,0.406142,0.43090054,0.46437907,0.48919693,0.4897771,0.4621222,0.4182581,0.3755124,0.34605655,0.3328853,0.3322737,0.33779016,0.34279266,0.3435994,0.34099093,0.33790776,0.33378828,0.32472572,0.30930868,0.29812813,0.30524772,0.33798862,0.38519576,0.43215108,0.4697226,0.49844086,0.51694995,0.51975125,0.507621,0.49010977,0.48033938,0.4793955,0.48097777,0.4817573,0.4857582,0.49587652,0.5038264,0.5007347,0.48694447,0.47201082,0.46155336,0.4509516,0.4400519,0.43572918,0.44828895,0.47185954,0.49248493,0.5004763,0.49793732,0.48867932,0.46943066,0.44109467,0.41601077,0.4118496,0.43190917,0.4595947,0.47631183,0.47415674,0.45986056,0.44041312,0.4233472,0.41692924,0.42896947,0.45694256,0.48290634,0.4878068,0.4662216,0.43314728,0.4086319,0.402505,0.40956727,0.41813803,0.42077866,0.4169055,0.40924403,0.4002396,0.3887135,0.37325695,0.35203323,0.33045894,0.31775633,0.32516614,0.3526437,0.38834977,0.4127815,0.4143777,0.39539525,0.37052464,0.35442463,0.35404167,0.36525694,0.37891397,0.38656124,0.38556466,0.37923238,0.37391675,0.374715,0.3827959,0.3961834,0.41175506,0.4249181,0.42943963,0.4184462,0.39155748,0.35671744,0.32825884,0.31626895,0.32240483,0.34089944,0.36287427,0.37965366,0.3820281,0.36785173,0.3424594,0.31801215,0.30056015,0.28939936,0.28279814,0.28538933,0.3034861,0.3342767,0.36514592,0.382839,0.38346064,0.37410006,0.36493078,0.36526933,0.37761262,0.39894184,0.41770837,0.41939077,0.3932798,0.34143177,0.27898148,0.22777553,0.20767783,0.2317754,0.29787585,0.3874098,0.46720538,0.51262003,0.5160256,0.49031928,0.44956318,0.40588847,0.36752403,0.3437827,0.33917615,0.34989348,0.3653609,0.37587163,0.37719274,0.37086785,0.36045143,0.3509558,0.34684584,0.35079542,0.35978773,0.36681244,0.36615053,0.35840786,0.34923923,0.34311628,0.3410599,0.34211507,0.34701046,0.35600963,0.36684605,0.37524822,0.37894836,0.378677,0.37377843,0.3616338,0.34162316,0.3216386,0.31319395,0.32232752,0.34302536,0.36369213,0.37538922,0.3765962,0.37019062,0.35975185,0.34760392,0.3323308,0.311477,0.28394017,0.25832117,0.24765666,0.26200077,0.29617777,0.33615056,0.36865976,0.39053404,0.4027352,0.40528345,0.39538774,0.37409866,0.34586954,0.31798133,0.29506016,0.28223035,0.282274,0.2950242,0.31336257,0.32802907,0.33398333,0.33353558,0.33318672,0.33809614,0.35029328,0.3697035,0.39367092,0.41862407,0.4398084,0.45589736,0.46611467,0.46983853,0.4639095,0.44751462,0.4243385,0.40098724,0.38122427,0.36344376,0.34495625,0.3270528,0.31458426,0.31057253,0.31143036,0.3108776,0.30407572,0.29194987,0.2766306,0.26170972,0.2516227,0.25418523,0.27381176,0.30573177,0.33556673,0.35076082,0.34876695,0.33602378,0.3191233,0.302623,0.29184148,0.29292664,0.30604124,0.3203731,0.32035807,0.29643717,0.25201112,0.19876532,0.14887609,0.108608864,0.078836754,0.057701875,0.043325003,0.03413364,0.028754527,0.02633516,0.026847323,0.030803747,0.038458902,0.049590934,0.0636468,0.07988604,0.097274244,0.11420301,0.12820409,0.1367917,0.1397344,0.14230101,0.15339325,0.17961504,0.21751499,0.2553116,0.28041604,0.28823015,0.28223175,0.2694449,0.25585675,0.2446636,0.23626606,0.22897418,0.22447555,0.23168099,0.26455188,0.3255097,0.39719084,0.44715202,0.45567417,0.42564976,0.37920058,0.33343783,0.29556358,0.26555264,0.24512933,0.23635821,0.23643367,0.23956959,0.238973,0.23158117,0.21528734,0.19094463,0.16317816,0.13996863,0.12838407,0.1302629,0.14443319,0.1690138,0.20114951,0.23438258,0.2587929,0.269315,0.26775196,0.26123074,0.2526778,0.24180858,0.22983177,0.22206968,0.22339307,0.23109394,0.23898149,0.24301255,0.2442218,0.24328898,0.23680592,0.22316933,0.20612206,0.19479986,0.19341242,0.19947994,0.20666635,0.21073933,0.21039082,0.20540892,0.19875194,0.19613107,0.20294298,0.21759278,0.23181744,0.23777533,0.23390596,0.22378427,0.21055967,0.1952697,0.1804428,0.16953482,0.1642893,0.16085775,0.1573921,0.15889625,0.17447579,0.20476224,0.23718442,0.25709346,0.26007327,0.25332904,0.24490933,0.23957437,0.24515979,0.27316675,0.3279378,0.39215684,0.43603823,0.4399899,0.40991867,0.36716485,0.32810104,0.2957535,0.265457,0.2334888,0.20002128,0.16677117,0.1371843,0.11416196,0.10149387,0.10204556,0.11720163,0.14290302,0.16834296,0.18158233,0.17706561,0.15950632,0.13791658,0.11951762,0.10755388,0.103984974,0.10977596,0.12271162,0.13577783,0.14123772,0.1367576,0.1283422,0.12515448,0.13082781,0.13924372,0.13948672,0.12557097,0.10125706,0.07632262,0.058806136,0.05134346,0.052552715,0.060104724,0.071175404,0.08241278,0.09020394,0.09257958,0.089709036,0.08431113,0.080867074,0.08508751,0.10014647,0.1250035,0.15408617,0.18350148,0.21154732,0.23685126,0.25386858,0.25739768,0.2506248,0.24376862,0.24534623,0.2515732,0.254182,0.2508072,0.24804981,0.25108588,0.25407892,0.2484893,0.2304728,0.20649914,0.18437652,0.1741183,0.18906236,0.24022241,0.3233464,0.40949765,0.46501616,0.472191,0.4435372,0.40293905,0.3687376,0.34280995,0.31998336,0.2965323,0.27478305,0.2590725,0.2515947,0.2505233,0.2522577,0.25377274,0.2537673,0.2518991,0.24827696,0.24337487,0.23835029,0.23479307,0.23409523,0.23633586,0.23998846,0.24259268,0.24283956,0.24151684,0.24076457,0.24184634,0.2440021,0.24568295,0.24581723,0.24493164,0.24368499,0.24283338,0.2422436,0.24179627,0.2409342,0.23938495,0.23707609,0.23449425,0.23222528,0.2306037,0.22921658,0.22687806,0.22127633,0.2095506,0.18970774,0.16403079,0.14015788,0.12830485]