[3.5373785E-05,8.000638E-05,0.00027837587,0.0009905598,0.0031239882,0.008157152,0.017713362,0.03253123,0.051835883,0.07327417,0.09425005,0.11282124,0.12856819,0.14168777,0.15246855,0.1599101,0.16173583,0.1548311,0.13785888,0.11317853,0.08708757,0.06649979,0.055897158,0.05573811,0.064217985,0.07902151,0.098343916,0.11964184,0.13754755,0.14513403,0.13754459,0.11743429,0.09242945,0.07031644,0.052980904,0.0388929,0.026303316,0.015880413,0.008739493,0.0049403086,0.0033685742,0.0027829346,0.002485993,0.0022083146,0.0018948118,0.0015456626,0.0011999799,0.0009027302,0.00068109407,0.000532338,0.00043571915,0.0003670511,0.00030991223,0.00025758953,0.00020959601,0.00016854533,0.00013576732,0.00011197425,9.7927084E-05,9.8656565E-05,0.00016008335,0.0005062601,0.001798431,0.0053034644,0.012681956,0.025371866,0.043941285,0.06794951,0.096295334,0.12777215,0.16128537,0.1954103,0.2274499,0.252382,0.2632241,0.25364396,0.22247064,0.17664438,0.12930834,0.093092285,0.07388973,0.06937504,0.07359603,0.08169531,0.09288913,0.10789368,0.12673266,0.14633632,0.16317265,0.17430682,0.17808409,0.17164992,0.15256707,0.12255957,0.090986095,0.07126392,0.073552966,0.099137835,0.14081115,0.18720879,0.22666149,0.25127196,0.25867984,0.25355107,0.24389009,0.23794611,0.24051167,0.25327542,0.27377066,0.2953454,0.3065654,0.29615387,0.25979623,0.20680468,0.1572444,0.13212083,0.14090782,0.17750002,0.22500515,0.26673138,0.2934899,0.30579266,0.30900553,0.3098979,0.31197706,0.31645128,0.32087684,0.32357672,0.32341877,0.32213414,0.3200514,0.3160367,0.3064033,0.28926697,0.26610538,0.24334614,0.22933543,0.23048216,0.24727578,0.2732035,0.29890767,0.31577292,0.32007805,0.31072137,0.28972065,0.260121,0.22783627,0.19890463,0.17859043,0.16920422,0.17199795,0.18722379,0.2139083,0.24709928,0.27851158,0.29853284,0.30061805,0.2831047,0.25043404,0.2116253,0.1768529,0.15184216,0.13436098,0.117135435,0.094443925,0.06732327,0.04136696,0.021928392,0.010284454,0.0046520713,0.0023123927,0.0014117513,0.0010278659,0.00088631996,0.0012359071,0.0032527794,0.009541243,0.023626355,0.048407603,0.08403931,0.12778194,0.17488325,0.2205971,0.2601317,0.28903446,0.3029798,0.29939917,0.2784885,0.24489592,0.20705563,0.17411043,0.14996903,0.13113323,0.11037225,0.08430794,0.056113426,0.032089453,0.015996344,0.007403282,0.0035858657,0.002082154,0.0014936234,0.001243147,0.0011003531,0.0009873105,0.00087279105,0.0007555238,0.00065000396,0.00057839876,0.0005415936,0.00052124495,0.00048707274,0.00042755165,0.00035172017,0.00028430697,0.00024558234,0.000258757,0.00042488365,0.0011375399,0.0036648132,0.010164884,0.022846013,0.041061018,0.060718715,0.07609114,0.08591533,0.09424529,0.10698233,0.124119796,0.13951989,0.14639391,0.14410473,0.13697411,0.12815918,0.115860425,0.09682701,0.07165648,0.045853864,0.025308311,0.0124643,0.00599915,0.0034752002,0.0037241827,0.007142938,0.01490352,0.026030667,0.03776053,0.047132626,0.05666231,0.0730402,0.10284293,0.1442656,0.1887341,0.22626452,0.25421438,0.27480942,0.29144922,0.302583,0.30745018,0.30913827,0.3142364,0.32359388,0.32814503,0.3190228,0.29805693,0.28228205,0.2846518,0.3042451,0.32232055,0.32628134,0.31624782,0.30718207,0.30427834,0.3011526,0.28206667,0.24605978,0.20798652,0.19285327,0.213917,0.2688613,0.3439324,0.42692122,0.5080407,0.5775539,0.6246497,0.64338845,0.6357558,0.60831445,0.5666477,0.5154776,0.46145844,0.41426948,0.3815124,0.36492762,0.35949305,0.35739735,0.35195008,0.3401433,0.32304433,0.30352643,0.28344014,0.2621797,0.23980005,0.22072482,0.21412796,0.22766633,0.26398346,0.31999496,0.39225972,0.47306743,0.550415,0.6074695,0.63539267,0.6349847,0.61482275,0.58008194,0.5341422,0.48150846,0.43190816,0.39405453,0.37097946,0.35828015,0.3492998,0.33908212,0.32607448,0.31035754,0.29205236,0.2707444,0.24632396,0.21984202,0.19356638,0.17001553,0.15077205,0.13589893,0.12406217,0.113224216,0.10159878,0.08864072,0.07541651,0.06387345,0.05559637,0.05094963,0.049476784,0.050681945,0.055214938,0.06503608,0.08392557,0.115384616,0.16119786,0.21895607,0.28597316,0.36101463,0.44570288,0.53578573,0.6189134,0.67641073,0.6962419,0.67796755,0.63208646,0.5716749,0.5082205,0.4505055,0.40479854,0.37393436,0.35573277,0.3447559,0.3350946,0.32379305,0.3100451,0.293936,0.27543804,0.25713423,0.2454188,0.24810652,0.26729152,0.29512334,0.317067,0.32167482,0.3083451,0.2857328,0.2642678,0.2481742,0.23537481,0.22119695,0.2040118,0.18663411,0.17459212,0.17271234,0.18199413,0.19958071,0.22001038,0.23919237,0.25599286,0.27273226,0.29239774,0.31831977,0.35444704,0.40502083,0.4698062,0.5399063,0.600416,0.6386251,0.65018433,0.6370982,0.6033838,0.5538203,0.49645463,0.4424106,0.4016409,0.37797472,0.3680105,0.36431336,0.35950926,0.34932053,0.33272555,0.31122923,0.2871057,0.26266795,0.23943585,0.21831907,0.19972217,0.18433397,0.17274094,0.16471075,0.15852457,0.1533813,0.15225159,0.16270447,0.19124556,0.23903708,0.30128336,0.3740263,0.454082,0.5358978,0.6064127,0.6518552,0.66531116,0.6500633,0.61380464,0.56426066,0.5094463,0.457832,0.41606835,0.38497186,0.36139667,0.3420336,0.32629412,0.31438538,0.304606,0.29339483,0.27721027,0.25538847,0.23102474,0.21135463,0.20523311,0.21901889,0.25344127,0.30568707,0.3738184,0.45735773,0.5505027,0.6384537,0.7013502,0.72654384,0.71335906,0.670526,0.6082566,0.53651327,0.4652748,0.40544876,0.36430964,0.3438417,0.33811578,0.3387327,0.33640078,0.32730988,0.3106331,0.28876612,0.26277545,0.23394102,0.20362206,0.17458527,0.14935099,0.12932168,0.11426268,0.10319817,0.09522646,0.08974826,0.08617457,0.08359308,0.081297815,0.0789932,0.07695868,0.07532645,0.07445965,0.07543487,0.08178625,0.09839177,0.1301689,0.17771561,0.23968108,0.313687,0.39974806,0.49305367,0.5817279,0.6480696,0.680219,0.67757124,0.64820194,0.6009323,0.5422011,0.47880343,0.41996202,0.37507084,0.34856662,0.33811405,0.33635315,0.335364,0.32914785,0.31548607,0.29554096,0.27356198,0.25605598,0.2498581,0.2595354,0.28181368,0.30676934,0.3217791,0.3223027,0.31169757,0.29765287,0.28303346,0.26722702,0.24900101,0.23163898,0.2201825,0.21886176,0.22481878,0.22944738,0.22084254,0.19516473,0.1596228,0.13216205,0.12859412,0.15589345,0.2079738,0.27439353,0.34536406,0.41543785,0.47765788,0.52296895,0.5439003,0.5409666,0.52254623,0.49710667,0.46876702,0.43717238,0.40422437,0.37519863,0.35651287,0.34938672,0.34889242,0.34735405,0.33995712,0.32639968,0.30891004,0.28921402,0.26766255,0.24414705,0.21963352,0.1963379,0.17703675,0.16283484,0.15263014,0.14431421,0.13922654,0.14362459,0.16538014,0.20776285,0.2679186,0.3411303,0.42257252,0.50459856,0.57364196,0.6167279,0.629462,0.6179003,0.5906375,0.55288094,0.50768703,0.46025693,0.41826198,0.3873032,0.3677446,0.3553411,0.3444614,0.33150557,0.3159801,0.30031896,0.28602734,0.27193442,0.25480473,0.23542725,0.22057064,0.22034043,0.24007237,0.27972463,0.33545008,0.40439114,0.4786032,0.54510874,0.58796525,0.6012867,0.59004503,0.565003,0.5322971,0.4940876,0.45292273,0.41495696,0.38586977,0.3674533,0.3568304,0.34996772,0.34321168,0.33392426,0.3198074,0.2996359,0.27404058,0.24573295,0.21829325,0.1946715,0.17581242,0.160541,0.14609925,0.12991099,0.11142993,0.09283414,0.07796242,0.06988588,0.069651395,0.076076895,0.086128354,0.09566965,0.10052002,0.099730134,0.09731877,0.10227362,0.1238059,0.16625996,0.2273544,0.30146876,0.38381147,0.46959567,0.5502935,0.61392903,0.6504629,0.6573651,0.6381903,0.5988231,0.54568344,0.48709702,0.43345216,0.393133,0.36857164,0.3549845,0.34472263,0.33238402,0.31726822,0.30125776,0.28557754,0.27039477,0.25778416,0.25289857,0.26202017,0.28462696,0.31221762,0.33008626,0.33005145,0.31306157,0.2894218,0.26719272,0.2493426,0.23290415,0.21580344,0.19883114,0.18523346,0.17681855,0.17265372,0.17058253,0.17021938,0.17388092,0.18533011,0.20699506,0.239091,0.27905384,0.32507804,0.37678397,0.43631038,0.5015694,0.5644118,0.6108969,0.6310198,0.6232071,0.5947657,0.5549795,0.5116591,0.46983397,0.43364465,0.40578422,0.38684273,0.3745269,0.36509252,0.35500038,0.34202024,0.32538798,0.305472,0.28357026,0.26118112,0.23959418,0.21958654,0.2017969,0.1864962,0.17300981,0.15967661,0.14553432,0.13361232,0.13161132,0.14904618,0.18987747,0.25130752,0.32638058,0.41203377,0.5053418,0.5987713,0.6750424,0.7176151,0.71958154,0.6874385,0.633104,0.5676255,0.49973974,0.4365786,0.38385925,0.34334007,0.3155742,0.29998338,0.29663983,0.3007898,0.30444244,0.29847074,0.28034148,0.2541538,0.22879069,0.21289705,0.21333523,0.23311412,0.27190518,0.32744035,0.39834487,0.48231325,0.5713393,0.6501398,0.70144933,0.7151987,0.6919965,0.6406579,0.57333237,0.50270003,0.44108668,0.39772117,0.37620172,0.37282076,0.37894464,0.38394368,0.37908676,0.35949314,0.32669434,0.28695157,0.24849506,0.21627058,0.19104248,0.17040099,0.1519287,0.13431542,0.117872745,0.10377582,0.093451835,0.087181784,0.08398909,0.08237345,0.08189767,0.08319442,0.0866741,0.09097672,0.09407059,0.09600184,0.10192039,0.11945801,0.15427636,0.20518732,0.26848564,0.34151554,0.42411718,0.50979054,0.5838924,0.6291368,0.6391236,0.6204579,0.5860071,0.5441588,0.49802792,0.44922698,0.40215182,0.36253643,0.335168,0.321564,0.31931388,0.32225338,0.32263422,0.31468248,0.29715034,0.273741,0.2516891,0.23931223,0.24300385,0.26493058,0.30476698,0.36230507,0.43758473,0.5251803,0.6110763,0.6763591,0.7067967,0.69884163,0.6591041,0.5994416,0.5329188,0.4708456,0.42133498,0.38777673,0.3690594,0.3606964,0.35740885,0.3549734,0.35175207,0.3499765,0.3579767,0.38747966,0.4458389,0.525181,0.6033012,0.65514207,0.6683605,0.64666647,0.6021492,0.5459958,0.48555958,0.42843804,0.38295898,0.3556402,0.34456977,0.33946776,0.325878,0.29379034,0.2422843,0.17987454,0.11956116,0.07400345,0.052971076,0.06365759,0.107424974,0.17662328,0.25480264,0.3276874,0.390407,0.4453338,0.49127808,0.5211632,0.53023267,0.522252,0.50648576,0.48804906,0.4666783,0.44067812,0.4127355,0.38825154,0.37155533,0.3622397,0.35583448,0.34683308,0.3323468,0.313604,0.29400417,0.27534226,0.25678858,0.23812538,0.22455746,0.22519082,0.2465465,0.2868987,0.33935022,0.3979137,0.45783702,0.5109675,0.5441356,0.54860383,0.5270458,0.49332044,0.46045735,0.4343909,0.41333237,0.3944491,0.3769457,0.36220327,0.35139242,0.34389994,0.33765826,0.32997105,0.31850728,0.3016448,0.27904776,0.25222936,0.22445512,0.19915384,0.17832513,0.16164416,0.14797056,0.13633585,0.12677848,0.11928218,0.11353251,0.108689524,0.104189165,0.09993779,0.09631774,0.093574196,0.09164675,0.09091284,0.09336561,0.10406762,0.12850931,0.17035942,0.22647397,0.29151046,0.35933617,0.428077,0.493425,0.54799604,0.58160394,0.5894615,0.57502335,0.54698414,0.5130263,0.47681403,0.44053677,0.40786275,0.38324168,0.36792138,0.35804787,0.34775305,0.33425534,0.31902698,0.30444235,0.29100132,0.27857497,0.27117074,0.27524897,0.29522267,0.32461646,0.35054636,0.359825,0.35128304,0.33238414,0.31457952,0.30206916,0.2926476,0.28013375,0.26195845,0.24030562,0.2211985,0.2106402,0.21150307,0.22282313,0.23967536,0.25728318,0.27293894,0.28807476,0.30562583,0.32864425,0.36007634,0.40194216,0.45260295,0.5033481,0.541519,0.55859417,0.5554065,0.5399973,0.5195741,0.49741635,0.473766,0.44983292,0.42815664,0.41131303,0.3998184,0.39169812,0.3836819,0.37293127,0.35816064,0.3395197,0.31825897,0.29664674,0.2776765,0.26375803,0.25538352,0.2507892,0.2473359,0.2422163,0.2334312,0.22071017,0.20881657,0.2065057,0.22297709,0.25971213,0.31246996,0.37403342,0.44080687,0.5062192,0.5598802,0.5880706,0.58494467,0.5552433,0.5115965,0.4667606,0.42886934,0.40159288,0.3833185,0.37035894,0.35748932,0.34350288,0.3299841,0.32026732,0.31375706,0.3062416,0.29254815,0.2713497,0.24654265,0.2264275,0.21990095,0.2334881,0.26678094,0.3159475,0.3759849,0.44645008,0.5237104,0.5976577,0.6494813,0.6648987,0.6415956,0.59126943,0.52925617,0.4683466,0.41550294,0.37403336,0.34349725,0.32120442,0.3052372,0.29640725,0.29667786,0.30308187,0.30795193,0.30449164,0.29558423,0.29383734,0.3122324,0.353008,0.40202174,0.4388559,0.4493203,0.43724772,0.41596803,0.39837208,0.38761202,0.3832909,0.3844619,0.3899581,0.3972006,0.40701053,0.4262282,0.46057558,0.5026383,0.5324487,0.52960235,0.49177322,0.43774426,0.4000794,0.40449068,0.45429993,0.5263476,0.5854719,0.60705405,0.588567,0.5453015,0.49489784,0.44883657,0.4115045,0.3842477,0.3662454,0.35487255,0.34675145,0.34003043,0.33414307,0.32811806,0.31950596,0.30630067,0.28932133,0.2739972,0.2683047,0.27985322,0.30880037,0.3468708,0.37883303,0.39359924,0.38840854,0.3698723,0.34584904,0.32198736,0.30055967,0.2833953,0.27250558,0.26740357,0.2630662,0.25060347,0.22528428,0.19122778,0.16153848,0.14980473,0.16303003,0.19921638,0.24891102,0.30278277,0.35510203,0.40749863,0.45967007,0.50628155,0.53522396,0.53982925,0.52253383,0.49419653,0.46331105,0.4332607,0.40338647,0.37594244,0.35578606,0.34742007,0.34886643,0.35303,0.35197613,0.3424897,0.32560185,0.30390427,0.27881348,0.25098017,0.22131337,0.19201614,0.16599338,0.14567538,0.13142256,0.12230281,0.119481325,0.12837411,0.15625328,0.20456727,0.26751146,0.33506835,0.40099823,0.4599464,0.50562483,0.52979636,0.53108555,0.51648074,0.49653563,0.4762342,0.45437646,0.42847678,0.40022638,0.37457085,0.35641968,0.34674528,0.34204733,0.33624443,0.32439053,0.30599284,0.28415486,0.26268432,0.2435478,0.22853708,0.22180624,0.22807957,0.24879944,0.27971837,0.31658128,0.3583523,0.4061321,0.45519486,0.49501458,0.5151579,0.5136065,0.4960884,0.47067082,0.44308722,0.41621628,0.3923256,0.37338582,0.36125576,0.3557576,0.35450414,0.35292327,0.34637645,0.33200586,0.3095785,0.28109387,0.24956487,0.21831958,0.19005935,0.16618006,0.14648072,0.13010554,0.11701217,0.10881907,0.10776801,0.11464582,0.1266328,0.13793309,0.14309472,0.14081106,0.13420083,0.12713669,0.12189927,0.12016851,0.12705237,0.14867623,0.1883323,0.24163906,0.30266434,0.36792973,0.43719283,0.50597006,0.5630283,0.5966491,0.6021106,0.58486134,0.55402595,0.5176553,0.47988507,0.44372153,0.41233805,0.38844284,0.3713316,0.35685506,0.3408371,0.32324508,0.30723906,0.29527128,0.28652096,0.28029072,0.27957657,0.29037657,0.31434718,0.34427917,0.3662244,0.36968103,0.35418692,0.32900295,0.30470398,0.28613523,0.27106473,0.2551256,0.2379594,0.2242548,0.21950902,0.22441883,0.2339677,0.24191333,0.24563235,0.24807292,0.2549187,0.27064097,0.29533803,0.32594332,0.36036286,0.39980423,0.44484377,0.48951277,0.5218942,0.53307563,0.5245769,0.50625575,0.48744273,0.47127435,0.4563357,0.44101238,0.42563877,0.41138467,0.39893147,0.38802433,0.37770024,0.36643267,0.35270664,0.33607623,0.31809083,0.3011745,0.2871743,0.2757944,0.26602778,0.25682518,0.24834639,0.24062915,0.23416746,0.23044308,0.23356067,0.24808113,0.27573958,0.31327295,0.35670757,0.40481222,0.45883486,0.51473737,0.56160647,0.5855233,0.580139,0.5492739,0.5045911,0.45806804,0.41812825,0.38854945,0.3691392,0.35735202,0.34866956,0.34001914,0.33002463,0.31992662,0.30918178,0.2957512,0.27655253,0.25233158,0.2281302,0.21298623,0.21473294,0.23650992,0.27457845,0.32396427,0.38360295,0.45607552,0.53914,0.619503,0.67836124,0.7022678,0.69065326,0.65212613,0.5977555,0.5372756,0.47824815,0.42720377,0.38801005,0.36305225,0.35176912,0.35177127,0.35660374,0.36007443,0.3591601,0.35999668,0.37230214,0.4026588,0.4468584,0.49524307,0.5398956,0.5773058,0.6028618,0.6087927,0.5909222,0.5536383,0.5079703,0.4625683,0.42500672,0.40151855,0.39668044,0.40364644,0.40760562,0.3961151,0.37058535,0.34305105,0.32428274,0.3177533,0.3236601,0.347151,0.39594516,0.46816668,0.5451122,0.5987701,0.61196977,0.5873008,0.54207665,0.4928571,0.44900072,0.4133061,0.3861126,0.36574247,0.34931555,0.3346376,0.32243863,0.31433746,0.30955154,0.3036516,0.29230607,0.2755334,0.25942573,0.25162217,0.25768855,0.27734813,0.31081656,0.3597314,0.42830428,0.51181597,0.5954365,0.6582418,0.6874018,0.68231106,0.65112925,0.60279894,0.54518265,0.48619473,0.43436015,0.39548683,0.37046516,0.35558698,0.34664306,0.340731,0.338125,0.3397802,0.34928045,0.36854422,0.39818707,0.431177,0.45807385,0.46936658,0.4639921,0.4466001,0.42589203,0.40910533,0.40188935,0.4055073,0.41548672,0.42336276,0.42302278,0.41700518,0.4109957,0.40776554,0.40212974,0.39213094,0.380106,0.37221238,0.36612788,0.35861048,0.34876248,0.3423871,0.33924982,0.33410195,0.32435462,0.31713358,0.32158443,0.3350415,0.34845266,0.35622182,0.36843482,0.39766848,0.4494895,0.51175004,0.56568474,0.59532505,0.59834933,0.5807201,0.5498642,0.50814164,0.45793244,0.40565407,0.36229435,0.33508217,0.32417694,0.3241171,0.33016524,0.33890143,0.3453779,0.34368658,0.33091494,0.3126252,0.29806387,0.2939061,0.29860517,0.30575696,0.30973282,0.30876648,0.30487737,0.30039045,0.29722986,0.29549953,0.29505518,0.29525444,0.29627085,0.29770276,0.29897264,0.29855302,0.29687205,0.29544494,0.29654112,0.2977707,0.29374817,0.27814326,0.25140545,0.21959645,0.19177061,0.17305185,0.1645822,0.16479869,0.17198499,0.18378533,0.1969619,0.2083255,0.21672867,0.22385685,0.23299384,0.24636018,0.2629563,0.27840987,0.28788593,0.28903404,0.28394914,0.27695084,0.2730291,0.2760261,0.28783616,0.30671927,0.3257974,0.3381994,0.34301612,0.35061672,0.3756133,0.42602777,0.49460283,0.561321,0.60535556,0.61605376,0.5976359,0.56165135,0.51864576,0.47319558,0.42914915,0.39293623,0.37293586,0.3719281,0.3838637,0.397632,0.404192,0.4032756,0.39922652,0.39813343,0.4003556,0.40355492,0.4034116,0.39902195,0.3937129,0.3926804,0.39840496,0.40657926,0.4101579,0.40521562,0.39466652,0.3854741,0.38190937,0.38372627,0.3867121,0.38856328,0.3895155,0.3912793,0.3931439,0.39129397,0.38317585,0.36925212,0.3548851,0.34253,0.33311644,0.32476982,0.3224713,0.3317118,0.35436094,0.37906682,0.3902885,0.37713602,0.34048763,0.2877454,0.22747016,0.16797382,0.11854315,0.089435734,0.08744648,0.11093229,0.1466807,0.17401607,0.17573948,0.14823875,0.10343301,0.05960846,0.032114398,0.029575186,0.0567423,0.11522124,0.19898355,0.2910746,0.36808443,0.4130976,0.42448494,0.41378203,0.39556572,0.37988555,0.3717103,0.3721658,0.37894586,0.38658965,0.3887124,0.3822132,0.3674743,0.3499585,0.33469042,0.32590234,0.32184646,0.3204173,0.32199594,0.334183,0.36759004,0.42723432,0.5049575,0.5797095,0.62875,0.64139146,0.622593,0.58618546,0.54206556,0.49435976,0.44467318,0.39926448,0.36567965,0.3494052,0.3499936,0.3664358,0.3964665,0.43581745,0.4724916,0.49449944,0.4962047,0.4849522,0.47185802,0.46472034,0.46274027,0.46172878,0.45771536,0.45026755,0.4415035,0.43617055,0.43764457,0.4465946,0.45983616,0.4743674,0.48848364,0.5008254,0.5086462,0.50823426,0.4981668,0.4811798,0.4638709,0.45381472,0.45459425,0.46466076,0.47749066,0.48718497,0.49001542,0.48706436,0.48149598,0.47744635,0.47713473,0.48057652,0.48608276,0.490049,0.48930678,0.48219618,0.47274932,0.46659207,0.4684721,0.47618613,0.48607492,0.49388918,0.5005172,0.50557464,0.5099285,0.51119334,0.5095565,0.50300366,0.48929384,0.46485218,0.43337667,0.41011468,0.41615304,0.46264482,0.53735685,0.61028403,0.6515219,0.6483555,0.60711527,0.54425246,0.4782931,0.42661285,0.4043789,0.41874337,0.46318245,0.51922584,0.56716245,0.5974436,0.6109767,0.61159253,0.5986743,0.57081753,0.5314097,0.49051055,0.45704326,0.4332862,0.41550186,0.3999602,0.3874915,0.3804132,0.3798231,0.38274777,0.38633835,0.38802484,0.38531744,0.3757951,0.3609805,0.34973,0.35068348,0.3648074,0.38192883,0.39144132,0.3900516,0.38308474,0.37844768,0.38178894,0.39520046,0.41674876,0.43936196,0.45407912,0.4535831,0.44020537,0.42372784,0.4168911,0.42483175,0.44381198,0.46552595,0.4843198,0.4988648,0.5097035,0.51662904,0.51919395,0.51743156,0.5124654,0.5056422,0.49813458,0.490685,0.48320937,0.47572383,0.4681891,0.4613944,0.4556023,0.45121348,0.44823864,0.44696662,0.4469479,0.44703734,0.44583547,0.44275713,0.4383714,0.43458977,0.43396583,0.4391266,0.44956708,0.46137574,0.4680393,0.46673107,0.45995465,0.4531413,0.44738075,0.43689457,0.41706717,0.39372423,0.38710985,0.41638455,0.48381677,0.56628823,0.630989,0.65535027,0.6394741,0.59857583,0.5488277,0.4984524,0.45061538,0.40883437,0.3780245,0.35851315,0.3445629,0.32817316,0.3075641,0.2888466,0.28162023,0.2946098,0.3310536,0.39030004,0.46262893,0.53388983,0.58511305,0.60370606,0.58456045,0.53593487,0.47421303,0.42030835,0.38772038,0.37737358,0.37818384,0.37926242,0.37828067,0.3814985,0.3936975,0.41146305,0.4246861,0.42529204,0.41298357,0.39512587,0.3804413,0.37473193,0.37819532,0.38584778,0.38872004,0.37795782,0.35215163,0.31961823,0.2942213,0.28415558,0.28751,0.29523852,0.2997192,0.29818252,0.29103103,0.2783288,0.26037556,0.24023743,0.22388397,0.21588223,0.21584229,0.22110444,0.23179992,0.2513592,0.27998546,0.30958232,0.3290586,0.33390293,0.33409134,0.34561905,0.38078454,0.4359323,0.49806938,0.5503761,0.58454484,0.59721833,0.5902851,0.5645693,0.5237942,0.47405764,0.42571306,0.38883352,0.3702269,0.37049672,0.38462844,0.40465248,0.42236337,0.43362126,0.4374013,0.43653965,0.4317704,0.42376184,0.4117988,0.3992487,0.39123225,0.39127222,0.39618266,0.3957787,0.38117567,0.35023072,0.30954993,0.26637366,0.22441922,0.1840954,0.14724278,0.11957583,0.10936963,0.12517323,0.17165656,0.24441175,0.32899642,0.40514505,0.4584272,0.48352244,0.48482355,0.4685646,0.44312754,0.41623983,0.39508697,0.38152418,0.37314913,0.36609992,0.3591917,0.35311309,0.34756652,0.33995226,0.32787582,0.31274405,0.29850873,0.28673196,0.2720524,0.24639946,0.20675015,0.16032441,0.11898457,0.090443395,0.07300493,0.059787337,0.045397345,0.029841157,0.01731062,0.013733423,0.025798092,0.057888974,0.10980854,0.17353623,0.2387079,0.2954304,0.33892155,0.3655962,0.37563822,0.3727622,0.3663042,0.363795,0.36692238,0.36992383,0.36700955,0.35580912,0.33915767,0.3229363,0.31674787,0.33247268,0.37831226,0.4514482,0.534363,0.60325795,0.6394475,0.63983697,0.6129102,0.5709371,0.520639,0.46670273,0.4150777,0.37587047,0.35505757,0.3518252,0.3590788,0.3712264,0.3840907,0.39300084,0.39326403,0.38645098,0.3831507,0.39450693,0.42190352,0.4551327,0.48248777,0.49916992,0.50759524,0.50991416,0.5056737,0.49320492,0.47516298,0.4568157,0.44466233,0.44171402,0.44861922,0.4605566,0.47042874,0.46905935,0.45402303,0.42957208,0.40755615,0.39662004,0.39895293,0.40812933,0.4181352,0.4271622,0.43808988,0.45232117,0.46690312,0.47684917,0.4791316,0.47608885,0.4725342,0.47275123,0.47762057,0.4857438,0.49576187,0.50499946,0.510272,0.50757295,0.49896434,0.49052882,0.49046305,0.4989524,0.51124483,0.5188764,0.5181723,0.5058238,0.48093072,0.4449794,0.41160306,0.4033006,0.4401308,0.5197625,0.6163737,0.69473463,0.73294574,0.7276471,0.68692464,0.62176746,0.5473854,0.48726156,0.46351758,0.48365936,0.531377,0.5796733,0.605884,0.6038294,0.58015126,0.5466791,0.51259226,0.4818486,0.45742846,0.4428629,0.44187972,0.45275998,0.46912313,0.48397365,0.4938364,0.4999276,0.5042437,0.50884277,0.51091105,0.5048793,0.48371065,0.45047805,0.42145625,0.42158055,0.46429744,0.5393011,0.6159618,0.6644063,0.67204934,0.6463186,0.60410017,0.5608999,0.5238915,0.49239752,0.46163055,0.42873296,0.39391473,0.3593987,0.3278934,0.30213407,0.2843599,0.27317914,0.26560667,0.2590157,0.25482178,0.25503013,0.25898865,0.26207936,0.25876763,0.2495601,0.24196349,0.24838221,0.27340603,0.3085114,0.33387813,0.33382288,0.3083582,0.2717811,0.24160297,0.22616534,0.22506474,0.23181039,0.24093606,0.24885471,0.2574397,0.27080485,0.29204667,0.31752825,0.33901492,0.3493497,0.34839025,0.34295413,0.34031013,0.34114897,0.33825207,0.3250506,0.30541798,0.2951415,0.31163868,0.36263776,0.44047618,0.52615386,0.5968955,0.63685876,0.64264697,0.62151676,0.5834655,0.5350787,0.4819596,0.43151522,0.3939456,0.37511206,0.37374106,0.38176045,0.3923827,0.40292168,0.416164,0.43265414,0.4507524,0.46448243,0.47200885,0.47414693,0.47524998,0.47661105,0.47633803,0.47118643,0.46003807,0.4466673,0.43649903,0.43362346,0.43697476,0.4426085,0.447024,0.44969153,0.4517882,0.45374385,0.45363036,0.44798836,0.43323472,0.40767208,0.3718245,0.32856494,0.28286162,0.24113528,0.20951347,0.19109951,0.18508805,0.18782254,0.19491537,0.20242016,0.20760597,0.20957728,0.21001811,0.21228515,0.21979536,0.23308285,0.24946146,0.26428318,0.27483287,0.28083834,0.28347656,0.28415322,0.2860798,0.2955167,0.31666747,0.34711525,0.37543234,0.39101645,0.39276147,0.39293244,0.40809885,0.44463372,0.49486265,0.5412383,0.57216287,0.58339864,0.5778412,0.55663437,0.5207504,0.47305098,0.42182174,0.37942812,0.35680702,0.35743633,0.37473664,0.39606762,0.41043553,0.41458294,0.41176927,0.40846625,0.40697286,0.40605238,0.40063623,0.38982657,0.3779497,0.37265828,0.37740624,0.3874173,0.39489135,0.39465263,0.38963374,0.3858082,0.38750002,0.39258543,0.39610288,0.39532277,0.39235687,0.3906158,0.39001033,0.3865858,0.3770225,0.36217377,0.3464321,0.33273685,0.32184994,0.31459144,0.31591895,0.33013365,0.35458076,0.3766431,0.38214502,0.36325642,0.321517,0.26322117,0.19721709,0.1340797,0.08625912,0.065037824,0.07494145,0.109441124,0.14933924,0.17230226,0.16414644,0.12876621,0.08233822,0.042426605,0.017225085,0.005845418,0.00447109,0.013379137,0.03865883,0.08729693,0.15881582,0.24100323,0.31396386,0.3619144,0.3811954,0.38088536,0.37370932,0.36869535,0.3679279,0.3696533,0.37062165,0.36781636,0.35924292,0.3468523,0.33511218,0.32858625,0.32670426,0.3282446,0.3358028,0.35925758,0.40677226,0.47457838,0.54464674,0.59470516,0.61222225,0.5977295,0.55975294,0.5068668,0.44751322,0.39125404,0.34833738,0.32396972,0.31641826,0.3199017,0.3314108,0.35042298,0.3750322,0.3982838,0.41401017,0.42160007,0.42649844,0.43243682,0.4391559,0.4433011,0.44389436,0.4411874,0.4363289,0.43027842,0.42610136,0.4283984,0.43867767,0.45369312,0.46603134,0.47148356,0.46947816,0.46316957,0.4543843,0.44399056,0.4318136,0.41939583,0.41009334,0.4081564,0.4157189,0.4314524,0.45067334,0.46789515,0.4785541,0.48145095,0.47825727,0.47266698,0.46806666,0.46640062,0.46807602,0.47107342,0.47304726,0.47211552,0.4699731,0.46864423,0.4692981,0.469903,0.46966612,0.46909356,0.47029293,0.4716978,0.47044817,0.46350038,0.45232546,0.4384491,0.4216448,0.4003565,0.37983277,0.37516844,0.40268174,0.46477595,0.54408425,0.6135917,0.6532566,0.6562664,0.6253561,0.56822985,0.49910387,0.44073167,0.4150279,0.43103933,0.47642532,0.52783424,0.5647939,0.5811326,0.58106095,0.5710604,0.55447143,0.5331114,0.51087016,0.49220952,0.47979936,0.47125626,0.46257553,0.45063767,0.43739164,0.42696524,0.4215418,0.41899133,0.41401315,0.4047768,0.39048445,0.3743949,0.35823086,0.34825328,0.34816727,0.3594297,0.37498465,0.38675627,0.3896382,0.38652006,0.38321754,0.38609615,0.39693844,0.41522357,0.43477467,0.44832876,0.44907653,0.43802854,0.42403123,0.4178042,0.42469954,0.4403344,0.4573706,0.47026244,0.4788133,0.48442087,0.487648,0.4875047,0.48271105,0.47287372,0.4579086,0.43760574,0.41297412,0.38879684,0.37383345,0.3747376,0.38978207,0.40901768,0.4239523,0.43473363,0.44816127,0.46717998,0.48693085,0.49777403,0.49404535,0.4758093,0.44939527,0.42281055,0.40342724,0.39266777,0.38674656,0.37944558,0.36795437,0.35528255,0.34652424,0.34502923,0.34664223,0.3485879,0.3543683,0.37968516,0.43488762,0.51403695,0.5904558,0.637294,0.64272547,0.61439544,0.56681633,0.5108626,0.45331454,0.40105918,0.3630598,0.34299812,0.33533642,0.32834136,0.31443238,0.29594,0.28139493,0.28015625,0.29923224,0.34319615,0.41006896,0.48743668,0.55570143,0.5971009,0.6045769,0.58143896,0.5375785,0.48525405,0.43667224,0.40122285,0.38169548,0.37520447,0.37612668,0.3808032,0.38753703,0.39540628,0.4021161,0.40467417,0.4007045,0.39123943,0.37964535,0.37086728,0.3671365,0.3689249,0.37262765,0.37361026,0.36743876,0.355334,0.34492907,0.3464094,0.36770418,0.4079454,0.45760265,0.4966763,0.5053566,0.47273615,0.40776682,0.33188406,0.2680497,0.2278471,0.21174711,0.21349339,0.22563665,0.24220347,0.25947562,0.27607358,0.29096022,0.30302086,0.314158,0.330516,0.36067593,0.40568146,0.45763746,0.5025651,0.53200215,0.5450379,0.5457802,0.5367429,0.5175345,0.48771444,0.4501711,0.4122623,0.38259467,0.36730185,0.3658538,0.3740162,0.38430607,0.3934236,0.3979511,0.39975932,0.3985281,0.39663896,0.3930429,0.38899085,0.38660952,0.389582,0.39750704,0.40326378,0.39788398,0.37746274,0.34611538,0.30984873,0.27113435,0.22949296,0.18660247,0.14887546,0.12530951,0.12513722,0.15503842,0.21577853,0.29753098,0.38193133,0.449626,0.49000096,0.50226897,0.49286127,0.46907973,0.43980932,0.4118875,0.39147606,0.3782419,0.37016544,0.36304554,0.35658672,0.3501816,0.34357083,0.33459124,0.3234981,0.31199184,0.30175462,0.28950223,0.26914603,0.23617953,0.19379465,0.15108146,0.11727973,0.09484901,0.07931686,0.06408184,0.046478648,0.028928818,0.017279776,0.017913962,0.03704111,0.07735546,0.13632007,0.20473015,0.27225575,0.32984728,0.3721118,0.3948121,0.3978907,0.3872051,0.37420914,0.36841944,0.3713925,0.3776623,0.38071862,0.37781954,0.3688898,0.35814643,0.35486463,0.37339225,0.42072198,0.4882466,0.5535069,0.5979061,0.6187691,0.6257668,0.62703747,0.6203046,0.5978623,0.55546594,0.49858677,0.43977126,0.39262366,0.36495697,0.3570019,0.36349383,0.3778291,0.3951694,0.4134229,0.43342438,0.45470747,0.47344851,0.48129916,0.4747318,0.4591142,0.4493406,0.45487055,0.473496,0.490652,0.49540755,0.4857101,0.4700986,0.4573957,0.45433438,0.46122992,0.47231308,0.4771204,0.46718693,0.44356784,0.41537753,0.39429054,0.3848733,0.38535604,0.38951564,0.39524677,0.40335461,0.41734853,0.43570277,0.45417878,0.46636155,0.46972013,0.46388522,0.45020393,0.43137336,0.41305658,0.4047204,0.4124067,0.4345028,0.4593306,0.47666308,0.48329207,0.48468173,0.48294786,0.4747801,0.4553083,0.42840528,0.40313575,0.38432574,0.36867288,0.3541762,0.34947118,0.36683694,0.40611064,0.44999948,0.47904217,0.48980662,0.49293673,0.49650314,0.49491954,0.4789544,0.45208725,0.43296495,0.4394438,0.47294065,0.5171592,0.55229604,0.56586236,0.5566397,0.52978414,0.49441564,0.46017066,0.43341145,0.41536775,0.40277648,0.39447352,0.3913192,0.3975052,0.41383103,0.43922472,0.46770468,0.49428496,0.51276577,0.5188585,0.5065685,0.47597003,0.43713835,0.41367987,0.42778492,0.48337182,0.5589373,0.6222573,0.653145,0.65132385,0.6289006,0.59645295,0.56155604,0.53035426,0.5075852,0.49170482,0.47443762,0.44741496,0.40767467,0.3613647,0.31870714,0.2897341,0.27672493,0.27574265,0.28000203,0.28623202,0.29317996,0.29831555,0.2949176,0.27512592,0.23694335,0.18834275,0.1471529,0.12981395,0.14540572,0.19005339,0.25613236,0.3325627,0.4085351,0.46974596,0.50520116,0.5116335,0.4937087,0.45876452,0.41159892,0.35850278,0.3085471,0.2738215,0.26203647,0.2747915,0.30667815,0.34985468,0.3945094,0.4326074,0.456458,0.46136865,0.44377884,0.4058094,0.35561538,0.3068639,0.27124372,0.25246724,0.24616039,0.24462311,0.24279952,0.23901938,0.23419805,0.2293366,0.22539546,0.22249244,0.22026533,0.21802235,0.2157702,0.21464153,0.21571702,0.21919702,0.22380178,0.22847264,0.23275179,0.23677169,0.24003337,0.24144875,0.24034107,0.23697871,0.2326066,0.22823626,0.22474341,0.22225022,0.22066365,0.2192716,0.21796654,0.21723068,0.21810226,0.22059076,0.22375542,0.22630411,0.22818483,0.23009606,0.23268922,0.23533927,0.23685451,0.23629917,0.23380601,0.23032905,0.22706892,0.22474588,0.22318059,0.22154029,0.21956553,0.21786775,0.21779604,0.21945466,0.22234313,0.22532935,0.2285801,0.23209621,0.23564261,0.2376119,0.23643523,0.23150796,0.22548689,0.22532429,0.24141248,0.28201726,0.34682533,0.42552152,0.5039602,0.57352,0.632538,0.6811308,0.7153192,0.73003393,0.72417593,0.7010701,0.6645228,0.6206214,0.5818355,0.56380624,0.5724982,0.5983204,0.62754506,0.6540303,0.68102497,0.7079554,0.72941464,0.7352757,0.72002536,0.6818719,0.6324584,0.5906555,0.5756669,0.5869038,0.6113403,0.6338487,0.6520099,0.6673077,0.67925054,0.6828293,0.67330766,0.6480925,0.60992265,0.5710662,0.5492866,0.55496496,0.5811946,0.61347395,0.6421134,0.6688361,0.6948879,0.7184203,0.73082286,0.7243328,0.69225055,0.64149094,0.5904812,0.56291,0.56527025,0.588989,0.6190606,0.6501634,0.68099385,0.7088782,0.7269185,0.7275347,0.705555,0.6618132,0.6099562,0.57144207,0.5598933,0.5656751,0.5650721,0.54183525,0.4996939,0.45258573,0.40843737,0.36808968,0.33069095,0.30095792,0.28202906,0.2736347,0.27035153,0.2678198,0.26384127,0.2584768,0.2525399,0.24691194,0.24281782,0.24068427,0.24023318,0.24052446,0.24133657,0.24327038,0.2465141,0.25050607,0.2540072,0.25705233,0.26015306,0.2635733,0.26614562,0.26629695,0.26358798,0.2587519,0.25342658,0.24873777,0.24551661,0.2435701,0.24207245,0.2402023,0.2381745,0.23754658,0.23921776,0.2428991,0.24686253,0.2503759,0.25356916,0.2569847,0.26004967,0.26138067,0.2601508,0.25650835,0.25183216,0.24735312,0.24432606,0.24296516,0.24278456,0.24260555,0.24194479,0.24155293,0.24255653,0.24535495,0.24905396,0.25275707,0.25608835,0.25908947,0.26146862,0.26355216,0.2683834,0.28326276,0.31623563,0.37100375,0.4417912,0.51770383,0.5878692,0.6470862,0.69411093,0.728731,0.75152516,0.7614195,0.7589968,0.7438442,0.7186491,0.68804246,0.659723,0.644666,0.6494804,0.67478037,0.7088893,0.7399375,0.75873065,0.7652914,0.76335067,0.7575204,0.7511278,0.74395996,0.7364292,0.7296575,0.72700876,0.72948194,0.7332503,0.733834,0.72855896,0.72165793,0.717874,0.72073126,0.72744447,0.73331887,0.7334444,0.72660047,0.71373624,0.6994154,0.6906163,0.6944461,0.71296865,0.7397887,0.7645691,0.77881795,0.7809146,0.7741964,0.76261467,0.7488865,0.734675,0.7224422,0.71463656,0.71004266,0.7060015,0.70043904,0.696933,0.6998244,0.70915157,0.72032803,0.7276446,0.7311346,0.7333452,0.7370375,0.7411755,0.7427428,0.74008876,0.7332916,0.72318524,0.70991594,0.6954008,0.6855262,0.687521,0.7024603,0.72380036,0.73969716,0.74484605,0.7387907,0.72377473,0.6926748,0.63508624,0.5470976,0.44418153,0.3521191,0.29136062,0.2632865,0.25699684,0.25910106,0.2622894,0.26342463,0.262032,0.25862864,0.25396493,0.24881907,0.24347056,0.23896949,0.23596786,0.23462777,0.23404229,0.23363924,0.23383284,0.23511611,0.23783754,0.24132715,0.24567534,0.25049672,0.2554413,0.25893822,0.25987312,0.25801703,0.2541546,0.2495109,0.24487484,0.24127221,0.23895971,0.23777902,0.23668416,0.23526335,0.23413348,0.23436175,0.23656063,0.24023898,0.24489312,0.24999619,0.25505137,0.25896204,0.2605439,0.25939664,0.25591847,0.25125068,0.24633376,0.24237268,0.2398475,0.23875405,0.23809756,0.23740254,0.23686843,0.23724574,0.23870693,0.24095236,0.24378608,0.24734478,0.25182122,0.2577606,0.26773587,0.28579295,0.314554,0.35056806,0.38640976,0.4163306,0.4420973,0.46984276,0.50445044,0.5456299,0.59002024,0.63294435,0.6694971,0.6952247,0.7080515,0.7073853,0.69132584,0.65800875,0.6132538,0.5746469,0.56067234,0.5749116,0.6030379,0.62938255,0.64966124,0.6684203,0.6855592,0.69397944,0.6841567,0.6532387,0.60560066,0.55753726,0.52724546,0.52685386,0.54927164,0.5808715,0.6127896,0.64716053,0.68480617,0.718036,0.7348384,0.7264156,0.6928971,0.6442042,0.60063434,0.5811607,0.5906499,0.61518854,0.63956046,0.65908104,0.679327,0.7001996,0.71411276,0.7098444,0.6838796,0.6405218,0.59670824,0.5708937,0.57549244,0.6019499,0.6349693,0.66318065,0.68926483,0.7153404,0.7373464,0.7454302,0.7329354,0.69824034,0.6479357,0.5974848,0.56494045,0.55546933,0.55319244,0.53633493,0.49536505,0.44205248,0.39115632,0.35045758,0.3167786,0.28843608,0.26701298,0.25514612,0.2511759,0.25007728,0.24743368,0.24159296,0.23345035,0.22474079,0.21730815,0.21239984,0.21017532,0.20948745,0.20916189,0.20909363,0.21053217,0.21416591,0.2196574,0.22560869,0.23154582,0.23711246,0.24174875,0.24373806,0.24181335,0.23602897,0.22768307,0.21855295,0.21033186,0.20485014,0.20294315,0.203734,0.20495655,0.20507258,0.2047954,0.20571107,0.20886914,0.21342868,0.21859847,0.22350438,0.22768284,0.23009391,0.23010619,0.22789802,0.22388339,0.21844912,0.21180439,0.2053889,0.20082504,0.19890416,0.19864736,0.19867183,0.19884026,0.19951479,0.20102184,0.20244038,0.2037388,0.20529795,0.20789392,0.21076183,0.2137673,0.2204933,0.24114394,0.28692606,0.36224517,0.45745492,0.55616206,0.6427155,0.71066713,0.7588785,0.78989965,0.8061064,0.80801886,0.79573673,0.77131534,0.7432814,0.7185855,0.6961849,0.66406363,0.61016726,0.5325081,0.4411075,0.35189915,0.27760175,0.22567214,0.20051013,0.2074194,0.24849744,0.31287542,0.37449685,0.40411934,0.39034358,0.34557164,0.29580772,0.26048964,0.24522541,0.24367155,0.24703355,0.24772763,0.2428193,0.2328632,0.22209328,0.21430165,0.2113272,0.21181858,0.21401238,0.21693026,0.22025102,0.22334558,0.22511993,0.22530383,0.22370376,0.21992125,0.21291123,0.20324333,0.19329025,0.18617408,0.18262519,0.1809365,0.17864828,0.17532893,0.17221451,0.17057721,0.17015444,0.16988148,0.16895133,0.16748996,0.1666974,0.16935265,0.18192904,0.2154584,0.28304398,0.38691744,0.5052712,0.5913132,0.5991559,0.5163464,0.3760158,0.23332663,0.12962626,0.074164316,0.052607924,0.046181366,0.04317386,0.03950757,0.034763746,0.029391222,0.024002386,0.019351661,0.016273677,0.015177908,0.01549686,0.015842512,0.01479147,0.012013949,0.008271719,0.0048192334,0.002393154,0.001210699,0.0014892676,0.0041627907,0.010503373,0.020853303,0.03346823,0.045016024,0.05259678,0.055484492,0.05503425,0.053175066,0.051037792,0.049033165,0.047319453,0.046540406,0.047159452,0.04943366,0.052577708,0.055727776,0.057850465,0.05882253,0.058811843,0.058374103,0.057599425,0.056245357,0.053967346,0.050930437,0.047930464,0.045859665,0.045209005,0.045802135,0.047210235,0.04888144,0.050307248,0.050820563,0.049841184,0.047218148,0.04352742,0.03987513,0.037389208,0.036720704,0.0380158,0.040987212,0.045293223,0.05040662,0.055382404,0.0586997,0.05883163,0.055356216,0.04933117,0.042861428,0.037918907,0.03577063,0.036654416,0.03994738,0.04410523,0.047247816,0.047759917,0.04532722,0.040924978,0.036353868,0.0329951,0.031383786,0.0313127,0.032381535,0.03409199,0.035544623,0.035653476,0.033671927,0.030012617,0.025868988,0.022485605,0.020272126,0.018994495,0.018241033,0.017827101,0.017604848,0.017258959,0.01637779,0.014804896,0.012823939,0.010978058,0.00970135,0.009106508,0.009057914,0.009344353,0.009779141,0.010123887,0.010129335,0.009607998,0.008648018,0.0075399242,0.0066459253,0.0061559943,0.006073495,0.006280471,0.0066345925,0.0069920495,0.0071840673,0.0073851007,0.008527849,0.012663971,0.021672988,0.035749093,0.05207652,0.066461556,0.07538209,0.07802666,0.07581448,0.071534455,0.06769928,0.06553301,0.064298056,0.06228331,0.058585394,0.05411393,0.050690737,0.049163986,0.04899536,0.04938966,0.05047499,0.05276313,0.055776447,0.0578631,0.057452362,0.05440229,0.049894348,0.045347005,0.04180089,0.040037256,0.04103147,0.045227963,0.05191679,0.058855552,0.06368928,0.0649539,0.062876135,0.05875641,0.054516226,0.052027866,0.05274773,0.057127308,0.06433212,0.07225377,0.0782595,0.08011424,0.076954305,0.06967848,0.06053154,0.05217509,0.046642467,0.044943973,0.0469961,0.0516347,0.057043638,0.06115967,0.06269782,0.061105255,0.056799125,0.050610628,0.04405919,0.038871597,0.036510795,0.03723005,0.039965477,0.043054324,0.04508247,0.0454649,0.04422303,0.041996416,0.039551992,0.03763126,0.03653257,0.03647049,0.037760425,0.041365046,0.04827954,0.059723366,0.07591218,0.09820173,0.12797676,0.16836716,0.21899731,0.2759634,0.33063138,0.37454963,0.4029665,0.41395274,0.41088006,0.39854518,0.387689,0.38616696,0.40049195,0.428725,0.46627977,0.50307226,0.52909786,0.53583795,0.5219949,0.49312532,0.45845318,0.42710683,0.40495586,0.39382076,0.3896462,0.38440156,0.3711851,0.35032043,0.3287501,0.3142929,0.3090767,0.31111318,0.3148278,0.3144699,0.30372217,0.28299788,0.260676,0.2504957,0.260989,0.29019544,0.32845882,0.36581588,0.39828694,0.4255137,0.44724143,0.45854935,0.45371863,0.42886904,0.386175,0.33177006,0.2760467,0.23205483,0.21152322,0.21763422,0.23873007,0.255748,0.25399318,0.23657024,0.22012895,0.22408944,0.25581345,0.30707678,0.36057258,0.40238452,0.4306314,0.45144463,0.46777058,0.4730568,0.45715615,0.41798425,0.36295316,0.3039827,0.25140616,0.21727568,0.21293403,0.24342541,0.2985994,0.3614087,0.41845372,0.4695233,0.5171947,0.55834675,0.5788726,0.5664071,0.52110654,0.45989546,0.40358654,0.36209986,0.33020222,0.29717633,0.25887012,0.2186324,0.18189181,0.1528508,0.13801341,0.14727049,0.18571888,0.24384363,0.2987802,0.32977727,0.3337278,0.32263124,0.3127982,0.31040856,0.3151711,0.32028666,0.32196298,0.31942782,0.31910813,0.32849833,0.34781182,0.3682991,0.37464246,0.3588487,0.32279965,0.28143904,0.25239328,0.24936384,0.27375475,0.31310844,0.34708896,0.35961166,0.3513484,0.33755958,0.33444118,0.34536025,0.36232212,0.37666404,0.3859013,0.38933268,0.38328043,0.36203018,0.32589367,0.28371313,0.250141,0.23732238,0.24888782,0.27774623,0.3095948,0.33112633,0.3359678,0.32653224,0.31088534,0.30007926,0.30388913,0.32570496,0.35921386,0.39289454,0.41809246,0.43370235,0.441202,0.43862286,0.41967547,0.381297,0.32979688,0.28002945,0.24779059,0.24221158,0.26223546,0.29805255,0.33523098,0.3611649,0.3678546,0.3544898,0.32673717,0.29810512,0.2840997,0.2943162,0.3254319,0.36498156,0.40108332,0.4289575,0.44911468,0.4609073,0.4600625,0.44367707,0.41531757,0.38393965,0.35546097,0.32947895,0.30556533,0.2881674,0.28280246,0.28501615,0.28361037,0.27086505,0.25042024,0.22865759,0.20622762,0.17936659,0.14970161,0.12840138,0.1296773,0.15977848,0.2099529,0.25967667,0.28915834,0.29336753,0.2852704,0.28534475,0.30586207,0.3442907,0.38822988,0.42587185,0.4512446,0.4625914,0.45877337,0.43929633,0.40879813,0.3766826,0.3508534,0.33106846,0.3127108,0.2973151,0.2932814,0.3082548,0.337401,0.3718343,0.40459463,0.43876338,0.47285184,0.50014323,0.50834817,0.4973589,0.47919622,0.4714204,0.47914454,0.49197173,0.4928875,0.47418895,0.441905,0.40842056,0.3807613,0.35964784,0.3449111,0.33891854,0.34047815,0.3407364,0.32915875,0.30311027,0.26994076,0.2377457,0.2090895,0.1817711,0.15612917,0.13915032,0.14208443,0.1724932,0.22431128,0.27757102,0.30891085,0.30891314,0.2878674,0.26748693,0.26476938,0.28393373,0.31835505,0.35794452,0.3949336,0.42578205,0.45016536,0.46603158,0.46819112,0.4495401,0.40910426,0.35344264,0.29599524,0.2506112,0.22785848,0.22986162,0.2465189,0.260322,0.256632,0.23670967,0.21561193,0.2125669,0.2365758,0.28241277,0.33523655,0.38132417,0.41596627,0.44204116,0.4618237,0.47117534,0.4626553,0.43369243,0.3886529,0.3356265,0.2823799,0.23745364,0.20849621,0.19716527,0.19536571,0.19189654,0.18490298,0.18477096,0.20560588,0.24822046,0.2996669,0.33982542,0.35989943,0.36225286,0.35662684,0.34608874,0.32922146,0.3060619,0.28604814,0.28156266,0.29658595,0.3204014,0.33658445,0.33675322,0.32882372,0.3280119,0.3435384,0.36787358,0.3844203,0.3792776,0.35198772,0.3105168,0.26404464,0.21743159,0.17398472,0.13708824,0.10984901,0.09425121,0.09285792,0.109469436,0.14442699,0.1877727,0.22035338,0.22484352,0.1994284,0.15783194,0.11893472,0.092979096,0.0799157,0.073838115,0.070164435,0.066833265,0.06377084,0.060929183,0.05821528,0.05543907,0.052630518,0.049809128,0.04703356,0.04469474,0.04335316,0.043285813,0.04384263,0.04441005,0.04632398,0.054734048,0.077143796,0.11752358,0.1703723,0.2214896,0.25883672,0.28265345,0.30449882,0.3341875,0.37004662,0.40232897,0.42427287,0.43711606,0.44396558,0.44220912,0.42417672,0.38549522,0.33235812,0.27978384,0.24443991,0.23649114,0.255371,0.2903832,0.3252091,0.34727988,0.35140398,0.3413475,0.3244935,0.31134936,0.31084812,0.32685724,0.35465375,0.3852152,0.41184282,0.43225196,0.44406414,0.44110158,0.4164045,0.3703538,0.3140385,0.2652615,0.23910715,0.24034147,0.2603275,0.28143072,0.28785244,0.27596882,0.25362146,0.22971576,0.20527528,0.176724,0.14372395,0.11231518,0.090195835,0.0838966,0.099001974,0.14032543,0.2051932,0.2790028,0.33894596,0.37000522,0.3754964,0.3741633,0.38289723,0.4043477,0.4289056,0.44693086,0.45733675,0.46327814,0.4643823,0.45463112,0.4309367,0.39831242,0.36566183,0.33571258,0.30515528,0.27260253,0.24407952,0.22513533,0.2133315,0.19958882,0.17880945,0.1531312,0.1282404,0.10875562,0.10130444,0.11544385,0.1587038,0.2267108,0.30416903,0.37358013,0.42657328,0.46269703,0.48353776,0.4877777,0.4749224,0.44968772,0.42218408,0.40148625,0.39145803,0.3878559,0.38456345,0.37518904,0.36085442,0.3449637,0.33313873,0.32529733,0.32149088,0.322393,0.33108422,0.34551153,0.35786387,0.3587127,0.3457478,0.32578385,0.31069803,0.3091458,0.32248247,0.34494963,0.36989394,0.3932843,0.41585115,0.43669203,0.4508175,0.44789287,0.42187944,0.3748425,0.31769037,0.26216975,0.2173446,0.187743,0.17358755,0.17095852,0.1738599,0.17912512,0.18847233,0.20705564,0.23813128,0.27901986,0.321851,0.3584437,0.3871818,0.41183075,0.43549934,0.45332015,0.45604897,0.43850103,0.40437612,0.36289683,0.3221055,0.29013106,0.27418992,0.28171682,0.3106797,0.35423926,0.40132174,0.4494932,0.4976864,0.5447127,0.5777418,0.5795908,0.53657734,0.45210722,0.34679922,0.24745946,0.17261012,0.12522936,0.098794706,0.085301004,0.080292314,0.081911884,0.091077544,0.11272708,0.15404375,0.21652077,0.28816232,0.34578595,0.36881268,0.35268915,0.3100453,0.25967366,0.21490662,0.1800108,0.15355942,0.13294663,0.1162186,0.10230696,0.090411685,0.08014295,0.071226284,0.06382634,0.05860023,0.057766397,0.065695345,0.087365665,0.124280035,0.17076938,0.21646394,0.2532115,0.281309,0.30694678,0.33550307,0.36596847,0.39379883,0.41541174,0.43079472,0.4394993,0.43763176,0.41918445,0.38306057,0.3374921,0.29747227,0.2765218,0.27967334,0.3017961,0.33116877,0.35566726,0.36821434,0.36842003,0.3609685,0.3530381,0.35195747,0.36229002,0.38286152,0.40774736,0.43023565,0.44685718,0.45605025,0.45548856,0.4410349,0.41115943,0.3703734,0.32975647,0.30113205,0.2921778,0.30218068,0.32366714,0.34626925,0.3630077,0.37284806,0.37744677,0.37814984,0.3754972,0.37337717,0.37727,0.38975355,0.40662828,0.4209682,0.42951766,0.43464446,0.43896112,0.44057432,0.4341707,0.41871122,0.399273,0.38253713,0.36867702,0.35421634,0.33828345,0.3259348,0.31913018,0.3125675,0.29765835,0.27361438,0.24651064,0.22179343,0.19814177,0.17273761,0.14721219,0.12810789,0.12023479,0.123105325,0.13162322,0.14242497,0.15687113,0.18114746,0.22011508,0.27274156,0.33043012,0.38126424,0.41644743,0.43421635,0.4391384,0.4357885,0.4254954,0.4078486,0.38583234,0.36462474,0.34590825,0.32634035,0.30524814,0.2890381,0.2848749,0.28852478,0.28835204,0.27872205,0.27031255,0.27832416,0.30809745,0.34915963,0.3864106,0.4098862,0.41854426,0.4161607,0.40836692,0.400846,0.39960775,0.4094166,0.43281266,0.46724486,0.5049608,0.5343943,0.5449212,0.53230363,0.5001585,0.45873892,0.41887307,0.38889983,0.37140295,0.36389545,0.3601178,0.35463813,0.34651574,0.3398516,0.3394227,0.34701097,0.3589557,0.36892793,0.36914882,0.35654035,0.33435008,0.31441435,0.3086394,0.32306314,0.35187402,0.38445437,0.41142857,0.43173447,0.44657,0.4550403,0.44971654,0.4245844,0.37970063,0.32377985,0.2680557,0.22288628,0.1945138,0.18416633,0.18675871,0.19388975,0.19928454,0.2037463,0.21416883,0.23824184,0.27718306,0.3242137,0.36815098,0.40258756,0.42793098,0.44789234,0.46087608,0.46055016,0.4419936,0.40747604,0.36517,0.3230399,0.2880552,0.2642584,0.25371727,0.2511129,0.24853037,0.24037807,0.23320661,0.23951888,0.26762903,0.3086498,0.34195992,0.34761956,0.32155883,0.27629596,0.2341357,0.21355218,0.2200761,0.24426888,0.2713487,0.29253128,0.30939034,0.3263929,0.344749,0.3619783,0.37836054,0.39583263,0.41333318,0.42310664,0.4164438,0.3917953,0.35506836,0.3139922,0.2716953,0.22902201,0.18771048,0.15169398,0.12376363,0.10374158,0.08953156,0.079030395,0.07124009,0.06608037,0.06526584,0.073007874,0.09532974,0.13568097,0.19029565,0.24653323,0.2886795,0.30565438,0.29678285,0.26900387,0.23144567,0.19078684,0.15214865,0.120585024,0.10069517,0.09428976,0.09937402,0.111429416,0.12498519,0.13481721,0.13687107,0.1307999,0.1218453,0.12159153,0.141352,0.18499042,0.24196883,0.29479298,0.32923853,0.34517515,0.35257947,0.36302963,0.38125756,0.40481877,0.42784408,0.443893,0.44721448,0.4334105,0.40224323,0.3594482,0.31626427,0.2848477,0.27381262,0.28333452,0.30472776,0.32392856,0.33089796,0.32585326,0.31723264,0.3138906,0.31961486,0.33467278,0.35752055,0.38527778,0.41311646,0.43659294,0.4528551,0.4594997,0.45229927,0.42706576,0.38433897,0.3326697,0.28617334,0.2580422,0.2547584,0.27288184,0.30158326,0.32822648,0.3464198,0.3571256,0.36426863,0.36844984,0.3672428,0.35887372,0.34318256,0.320028,0.29023647,0.26143828,0.24863763,0.26525852,0.30913904,0.3612351,0.39799294,0.4092599,0.40223777,0.39300856,0.39284942,0.40312138,0.4182972,0.43195865,0.44051018,0.4418967,0.4347904,0.41865596,0.39641082,0.37280616,0.34951368,0.3233012,0.29152587,0.25904325,0.234405,0.21992397,0.20796366,0.18982555,0.16468643,0.13827026,0.114890285,0.094752915,0.078821056,0.07396298,0.09084281,0.1361474,0.2051491,0.28327808,0.353991,0.40865055,0.44586554,0.4672866,0.4717368,0.45933974,0.43454155,0.4074736,0.38751432,0.37860963,0.3779197,0.37865266,0.37455818,0.36318395,0.3481172,0.33498302,0.32764378,0.32554886,0.32823896,0.33606055,0.34836796,0.3592446,0.36085173,0.3496587,0.33100367,0.3157713,0.3131632,0.32537505,0.34757385,0.37319896,0.39768896,0.42026353,0.43961176,0.45161322,0.44868276,0.42572582,0.38436183,0.33323303,0.28316423,0.24262196,0.2160968,0.20339276,0.20022947,0.20031483,0.20000471,0.20124185,0.21008456,0.2318685,0.26571622,0.3047284,0.33978882,0.3678592,0.3922515,0.417948,0.44181415,0.45397198,0.44543839,0.41682515,0.3764327,0.33347216,0.29603562,0.27216235,0.27121726,0.29568642,0.33959138,0.390218,0.43996716,0.4870402,0.5315686,0.56588346,0.57471514,0.543497,0.47030485,0.37103918,0.27129182,0.19220556,0.14029403,0.11007127,0.09274182,0.08277803,0.07867182,0.08211663,0.098603226,0.13508426,0.19388199,0.26456884,0.3260566,0.35702205,0.34996328,0.3135526,0.26518407,0.21927302,0.18223411,0.15400366,0.13211791,0.1143984,0.099418305,0.086499654,0.07541529,0.06629743,0.05930689,0.054784324,0.054230426,0.061340738,0.08118788,0.115792334,0.16038294,0.20441312,0.23981424,0.2672064,0.2942458,0.32641032,0.3610905,0.3913398,0.41314495,0.4283975,0.43862882,0.44038558,0.4264145,0.3941867,0.3502132,0.30802467,0.28060794,0.2750035,0.2894441,0.31517926,0.34026465,0.3564383,0.36163524,0.3596146,0.35564336,0.35452154,0.3592191,0.37026957,0.38614774,0.40380272,0.41991964,0.43015447,0.42988205,0.41551808,0.38750935,0.3507224,0.31367734,0.28534403,0.27327827,0.2796739,0.2999537,0.32411966,0.34358367,0.3566126,0.36600363,0.37412205,0.3797153,0.3829292,0.38745877,0.39838985,0.41720748,0.44019392,0.4625697,0.48019838,0.49049115,0.49020407,0.4776202,0.45510897,0.4291121,0.40479317,0.38135365,0.35530546,0.3286899,0.3096889,0.30358592,0.30392253,0.29887083,0.28265405,0.25975335,0.23559766,0.2102647,0.18126762,0.15098314,0.1269692,0.11582007,0.1181824,0.12931298,0.14431445,0.16233589,0.18731661,0.2241352,0.273266,0.3290334,0.3816986,0.4239435,0.4527147,0.46971944,0.47537848,0.46872595,0.448205,0.41787457,0.3854457,0.35680234,0.33142048,0.30790344,0.28988883,0.2830162,0.28459406,0.28420416,0.2752446,0.26549053,0.2692018,0.29360044,0.3327786,0.37560248,0.4139155,0.4430195,0.4591693,0.45906028,0.4449983,0.42633268,0.41639006,0.4245831,0.45030987,0.48377833,0.5113049,0.5237613,0.5183014,0.4978744,0.4668106,0.4312537,0.397324,0.37044013,0.35174772,0.3398514,0.33236194,0.32842574,0.3278257,0.33076426,0.33799675,0.3489841,0.3608286,0.36704978,0.36327338,0.35058415,0.33739218,0.33246243,0.3400215,0.35695347,0.3777374,0.39785114,0.41661546,0.43350887,0.44539678,0.44478574,0.4250939,0.38598022,0.33482984,0.28259125,0.23904426,0.21091998,0.20049982,0.20469834,0.2158324,0.22663903,0.23515008,0.2458926,0.2649542,0.29417133,0.32842124,0.36000276,0.38544354,0.40780964,0.4312458,0.45291492,0.4633793,0.45407024,0.42522547,0.38434026,0.34038135,0.30048034,0.27022183,0.25352678,0.24817045,0.24649157,0.24091081,0.23426907,0.23789561,0.26227978,0.3024852,0.33991656,0.35251817,0.33189675,0.28729358,0.24100941,0.21459006,0.2169352,0.24072377,0.26921767,0.29051825,0.3042777,0.3188986,0.34141806,0.37154433,0.40362036,0.4302337,0.44684744,0.45003822,0.4389458,0.41341496,0.37655652,0.33215952,0.28489432,0.23798333,0.19480364,0.15769589,0.12823944,0.10596323,0.08971777,0.078053765,0.070088185,0.06517104,0.06413677,0.07022741,0.08959655,0.12681387,0.1801848,0.23770262,0.2832451,0.30427882,0.30013096,0.27848586,0.24943541,0.21875386,0.18864666,0.15998138,0.13424961,0.113354474,0.09950779,0.094887055,0.100905836,0.11638093,0.13737921,0.15862799,0.17724435,0.19519214,0.21794933,0.24958272,0.2872682,0.3218125,0.34280765,0.34548852,0.3325164,0.3102168,0.2843927,0.25830123,0.2357089,0.22047992,0.21536063,0.21800113,0.22375429,0.22894229,0.23390305,0.23965116,0.24508977,0.24716759,0.24467091,0.2405392,0.2394733,0.24373777,0.25057366,0.2544661,0.2512755,0.24082297,0.22607361,0.2099957,0.19443853,0.18028271,0.16925108,0.16275771,0.16082977,0.16070296,0.1588463,0.15300138,0.14386588,0.13383652,0.12508893,0.118173935,0.112758785,0.10900638,0.10796235,0.1100024,0.11408204,0.11851004,0.12427982,0.13430613,0.15138483,0.1731172,0.19433367,0.20978813,0.21876065,0.22250082,0.22233701,0.21840018,0.21155275,0.20424168,0.19876568,0.19537826,0.192391,0.18935148,0.1900834,0.20068188,0.22460221,0.25723448,0.288931,0.31080905,0.3207145,0.32075182,0.3123413,0.29398176,0.2651686,0.23216142,0.20623942,0.19695087,0.20426685,0.22087283,0.23843265,0.25336432,0.26444387,0.2685623,0.26031494,0.23679645,0.20271732,0.16831005,0.14298499,0.12926303,0.12421048,0.12417221,0.12798375,0.1349181,0.14156574,0.1422821,0.1334362,0.11673471,0.0978267,0.08147025,0.06860431,0.05745778,0.046981256,0.038055565,0.032096326,0.029004173,0.027241634,0.02546443,0.023746489,0.023011914,0.023603128,0.024640331,0.024776628,0.02334799,0.020764856,0.017900335,0.015346733,0.013172076,0.011316355,0.00984284,0.008915283,0.008463894,0.0082220575,0.007929527,0.007564871,0.0072550713,0.007053696,0.0069102994,0.0067981915,0.006949632,0.007699463,0.009206571,0.011088352,0.012587364,0.012963255,0.012020058,0.010157048,0.00809359,0.0063905944,0.0052442416,0.0045577106,0.0041680713,0.003960336,0.0038589202,0.00378904,0.0036952223,0.0035678905,0.0034395538,0.003346179,0.003333525,0.0034841204,0.003929539,0.004727759,0.005720248,0.006460938,0.006472194,0.005549533,0.0039952467,0.0023638646,0.001143098,0.00045676937,0.00018149072,0.00010700119,0.00010374753,0.0001102727,0.00010834439,9.3549206E-05,7.148264E-05,5.138288E-05,3.8487127E-05,3.275943E-05,3.105206E-05,3.0807005E-05,3.0896223E-05,3.114053E-05,3.10946E-05,3.0117373E-05,2.7738331E-05,2.4420877E-05,2.1258653E-05,1.9665456E-05,2.0592423E-05,2.443023E-05,3.0341498E-05,3.639523E-05,4.003098E-05,3.9847535E-05,3.6416033E-05,3.1966436E-05,2.8572076E-05,2.7045427E-05,2.6753047E-05,2.6586931E-05,2.5715837E-05,2.4153514E-05,2.2512106E-05,2.1550048E-05,2.149425E-05,2.1890904E-05,2.1842812E-05,2.056809E-05,1.7764816E-05,1.3766934E-05,9.349938E-06,5.422038E-06,2.5890583E-06,9.71136E-07,2.6305597E-07,4.4373937E-08,2.64229E-09,5.768053E-12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]