[4.8119837E-05,4.0882485E-05,2.7146278E-05,1.4243246E-05,6.271493E-06,3.1742175E-06,2.4362125E-06,2.2804873E-06,1.9691347E-06,1.534784E-06,1.1453317E-06,9.719232E-07,1.0974364E-06,1.5143223E-06,2.1206522E-06,2.7906287E-06,3.3498811E-06,3.7152342E-06,3.8558915E-06,3.8597905E-06,4.4067347E-06,0.00045160917,0.002872775,0.010540578,0.026750594,0.05221483,0.08222697,0.10918052,0.12660308,0.13386123,0.13436443,0.1327738,0.1312645,0.13043164,0.12998591,0.13000248,0.13021444,0.13001235,0.12867397,0.1260273,0.12267382,0.11956149,0.11740932,0.116330005,0.11592671,0.11571687,0.115331374,0.11463631,0.11366793,0.112880416,0.11301472,0.11452604,0.11667663,0.117723726,0.11608839,0.11173225,0.10580871,0.099348426,0.0922443,0.0839028,0.07457646,0.06585824,0.05995966,0.05845402,0.061247554,0.0666117,0.071596496,0.07383853,0.072301894,0.0679234,0.06230176,0.056967888,0.052641034,0.04934576,0.046836507,0.04494633,0.043984484,0.044237956,0.04556242,0.047048017,0.047795296,0.047516447,0.04685421,0.046488326,0.04669371,0.04702877,0.047083165,0.047046408,0.048198376,0.052597087,0.06120515,0.072480835,0.081974596,0.085687734,0.082432784,0.07480592,0.0661937,0.05879503,0.05276982,0.047620323,0.043209627,0.040339027,0.040563073,0.045217857,0.054487806,0.06635069,0.077693634,0.08542191,0.08864748,0.08812424,0.08590466,0.08345309,0.08171227,0.08074822,0.08062702,0.08146124,0.08362303,0.08706621,0.09098619,0.09398812,0.09497587,0.09384346,0.091211446,0.08789029,0.084370285,0.08103909,0.07849824,0.07786146,0.08099622,0.08915333,0.101922385,0.11560595,0.12574404,0.1289712,0.12577893,0.11843365,0.10967433,0.10056483,0.091536134,0.0827597,0.07514322,0.069791675,0.06784458,0.06943307,0.07349384,0.07763671,0.079667985,0.0786087,0.07529234,0.07116022,0.067253344,0.063735075,0.060370628,0.05715454,0.05445652,0.052955613,0.05295277,0.054126497,0.055391446,0.055752184,0.05476335,0.052818775,0.050503444,0.048299868,0.046400357,0.045063812,0.045689944,0.052262943,0.07265686,0.114623286,0.17990375,0.25789317,0.330825,0.3828509,0.40981984,0.41637006,0.4079727,0.3840325,0.34060335,0.27974728,0.21539474,0.17006011,0.16118382,0.19014214,0.24116695,0.29279995,0.32973182,0.34815776,0.35194576,0.34744307,0.33874354,0.32626843,0.30693734,0.2786937,0.24542437,0.21733867,0.20422232,0.2075234,0.22010942,0.23297454,0.24208517,0.2482637,0.25318336,0.25654194,0.25722596,0.25523058,0.2520297,0.24903534,0.24606818,0.24132894,0.23241429,0.21940486,0.20552684,0.1960311,0.19202717,0.18899548,0.18036383,0.16595533,0.1538478,0.15388422,0.1701594,0.19943862,0.23564243,0.272683,0.3040124,0.32369447,0.3283702,0.32018217,0.30354133,0.28229228,0.25767216,0.23105557,0.20619671,0.188917,0.18338867,0.18838823,0.19691516,0.20061623,0.19594836,0.1876058,0.18641214,0.20129184,0.23264186,0.26915833,0.29507074,0.29893577,0.28215185,0.25682923,0.23684154,0.22786476,0.22452874,0.21826808,0.20536341,0.19146484,0.18636303,0.19745119,0.22405083,0.2578987,0.28908518,0.31207094,0.32808307,0.33986828,0.34769723,0.34815004,0.33885634,0.3207186,0.29790667,0.27458462,0.25355473,0.23573636,0.22102964,0.20883046,0.19907159,0.19240446,0.18916287,0.18795985,0.18579568,0.18049355,0.17234437,0.16387624,0.15732501,0.15349899,0.15168093,0.15083833,0.15044661,0.15165545,0.15773696,0.17136382,0.19044806,0.20591015,0.20821536,0.19559981,0.17754751,0.16504669,0.16118212,0.15871368,0.15089309,0.1378007,0.126969,0.1256247,0.13951401,0.171107,0.219483,0.2760303,0.32804477,0.36458218,0.38263214,0.38409352,0.37125424,0.34474656,0.30678728,0.26343542,0.22288269,0.1914729,0.17124166,0.16044164,0.15560241,0.15315832,0.15154459,0.1522525,0.16058384,0.18155074,0.21590686,0.25671422,0.29408976,0.32050288,0.33482277,0.33902502,0.33475778,0.32265535,0.30471182,0.28576705,0.27117535,0.2642461,0.264351,0.26789725,0.26937702,0.26455924,0.2534733,0.24295796,0.24213971,0.25590888,0.2788125,0.29961523,0.30832317,0.30342457,0.29001808,0.27613753,0.2676654,0.2674059,0.27477553,0.2874961,0.30217937,0.3158125,0.3256612,0.33044147,0.3299354,0.32582712,0.32052776,0.316738,0.31566206,0.31691143,0.3186034,0.3187505,0.31556228,0.3073478,0.2920293,0.26838425,0.23784222,0.20514941,0.17580116,0.15343219,0.13968386,0.13731505,0.15002131,0.1783825,0.21507569,0.24796839,0.26822528,0.27583423,0.2766476,0.27533472,0.27215707,0.2647018,0.25153702,0.23385821,0.21487392,0.19815218,0.18546812,0.17664038,0.17041962,0.1667641,0.16658074,0.17044395,0.17630906,0.18022941,0.17861776,0.17126113,0.16138713,0.15337962,0.1492722,0.14760263,0.14504047,0.14014198,0.1353475,0.13568924,0.14417027,0.158471,0.17204018,0.17967498,0.18194364,0.18403037,0.1900689,0.19892494,0.20522243,0.20380886,0.19346887,0.1788357,0.16953962,0.17577808,0.2010294,0.23707783,0.2684696,0.28173906,0.27485707,0.2557179,0.23641558,0.22322905,0.21486402,0.20478858,0.18927543,0.16980912,0.15151651,0.13773121,0.12835751,0.12068018,0.112561285,0.103502154,0.09496292,0.08836108,0.084162235,0.081457056,0.07968081,0.07991863,0.084550895,0.09491104,0.1087643,0.120694555,0.1252631,0.12072268,0.10981656,0.09724137,0.08638823,0.07805973,0.0714921,0.066092454,0.062357392,0.06210201,0.06789245,0.08128673,0.100742966,0.12051007,0.1333484,0.13444738,0.12486721,0.11025276,0.09782505,0.092837304,0.098051436,0.11419487,0.1404609,0.17467993,0.21269667,0.25034317,0.28342596,0.31086195,0.3325238,0.35007393,0.36259064,0.36799836,0.3623987,0.34481347,0.3183236,0.29163373,0.27376404,0.26916364,0.27329326,0.27729332,0.2736217,0.26146963,0.2442335,0.22695069,0.21301557,0.2044219,0.20029958,0.19747715,0.19165386,0.18234198,0.17340378,0.17091344,0.17542456,0.18151726,0.18061538,0.16922551,0.14987715,0.12905751,0.11166387,0.09943628,0.09143132,0.086272754,0.08323594,0.08225853,0.083071925,0.08482763,0.08646041,0.087170295,0.08675758,0.08518363,0.08286524,0.08025027,0.07817099,0.07725971,0.07845215,0.08265821,0.090179674,0.09957553,0.107564665,0.110990964,0.10858946,0.101796836,0.09380416,0.08933067,0.09457299,0.11400954,0.1461705,0.18047798,0.20419699,0.21068557,0.20549583,0.20000874,0.20341222,0.21691328,0.23632693,0.25636104,0.27362373,0.2866733,0.2951245,0.29943207,0.3010207,0.3024877,0.30652976,0.31459966,0.32545075,0.33576164,0.34169054,0.34134316,0.33529815,0.32628682,0.31728888,0.31060353,0.30658647,0.30422613,0.30152813,0.2975022,0.2921038,0.2865108,0.2804998,0.27258512,0.2594986,0.24111484,0.2204843,0.20414442,0.19507657,0.1933145,0.19621973,0.20427527,0.21899815,0.24166779,0.26952127,0.29720768,0.31871837,0.33125237,0.3359448,0.33618677,0.33427978,0.33062866,0.3252953,0.31963608,0.31606808,0.31621203,0.31982636,0.32477406,0.3287401,0.3307042,0.33159208,0.3331784,0.3365394,0.3408749,0.34342876,0.34072903,0.33125708,0.3173667,0.30439532,0.29635486,0.2929807,0.29027864,0.28505108,0.27729344,0.26986685,0.26476955,0.26125243,0.2558776,0.24621172,0.23405866,0.22698702,0.23316552,0.2551308,0.28516173,0.3111603,0.3244263,0.325745,0.32179704,0.3194061,0.32100347,0.32423577,0.3238611,0.31443325,0.29389068,0.26586607,0.23896874,0.22281557,0.22232924,0.23477036,0.2505857,0.2591155,0.25442863,0.23820318,0.21712327,0.19797431,0.18442802,0.17753501,0.17801577,0.18591873,0.19864959,0.20929225,0.21067075,0.20007952,0.18210544,0.1644088,0.15314369,0.14975803,0.15322334,0.16120942,0.1727025,0.18650001,0.20310946,0.22206467,0.2428693,0.26227486,0.2773516,0.28659227,0.29223517,0.29773223,0.3052603,0.31366107,0.3195174,0.31912318,0.31151283,0.29964516,0.2892685,0.28423417,0.28314546,0.28026214,0.27025285,0.25229555,0.23007934,0.20931606,0.19450276,0.1874748,0.18767579,0.1934551,0.2030394,0.21359491,0.22103862,0.22062708,0.2106102,0.19375114,0.17745192,0.16866684,0.17032407,0.17885299,0.18841685,0.19460396,0.19756137,0.19939159,0.20188768,0.20429178,0.20447636,0.20036232,0.19198631,0.18160896,0.1722685,0.16567397,0.16169322,0.16043872,0.16373129,0.17450093,0.19308364,0.2156707,0.23549259,0.24745391,0.25053883,0.24800014,0.24430872,0.24299084,0.24455796,0.24643248,0.24295068,0.2292522,0.20489669,0.17746602,0.15757807,0.15310816,0.1632877,0.18201287,0.20133682,0.21509616,0.21876675,0.21172386,0.19902754,0.19025625,0.19307518,0.20760143,0.22691959,0.24323821,0.25354338,0.26025215,0.26745132,0.276871,0.28587916,0.29032752,0.28775796,0.27979037,0.2687008,0.2552536,0.2382214,0.21813796,0.19758202,0.1791866,0.16261472,0.14575158,0.12759571,0.109938055,0.09567662,0.08639467,0.081515945,0.07947293,0.079002835,0.079735436,0.08187461,0.085729934,0.090834565,0.09569043,0.098230176,0.097504,0.094245665,0.09016359,0.08609358,0.0815746,0.07584115,0.06908616,0.06285782,0.059047293,0.059193224,0.063313305,0.0701423,0.07706634,0.08189738,0.08349332,0.08253861,0.08028245,0.07789412,0.075791754,0.074322544,0.07432452,0.07753596,0.08522623,0.09674773,0.108308256,0.11539722,0.11521044,0.1090011,0.0998781,0.09087358,0.08291312,0.07599958,0.07029163,0.06804804,0.07426238,0.095552444,0.13536978,0.18902408,0.24315794,0.28252324,0.2993038,0.29749528,0.28892383,0.28371468,0.2837312,0.282936,0.27529645,0.26160887,0.2509651,0.252754,0.26898056,0.29117224,0.30868423,0.3163955,0.3181961,0.32028207,0.3259351,0.3332796,0.33906963,0.3408481,0.3379074,0.32983056,0.31606522,0.29701242,0.2758074,0.25857672,0.25034282,0.25090346,0.25461766,0.2564076,0.25624976,0.25702107,0.25787827,0.25356346,0.24121708,0.22779106,0.22497635,0.23890395,0.26180995,0.27956203,0.2802782,0.26286438,0.23433961,0.20830084,0.19674444,0.20522122,0.22773592,0.25377482,0.27461204,0.28871986,0.29733995,0.3023349,0.3046752,0.30568695,0.30567956,0.30277243,0.2937979,0.27719346,0.2550781,0.23233724,0.21334712,0.19956811,0.18897016,0.17851223,0.16675274,0.15548186,0.14863683,0.14898968,0.15693808,0.17027782,0.18737058,0.20632659,0.2252331,0.24114579,0.25270697,0.26091695,0.2669909,0.27019057,0.26708186,0.25670767,0.24206649,0.23071818,0.22772537,0.23303312,0.23966701,0.24150966,0.23759101,0.23528428,0.24261315,0.26232854,0.2872534,0.30550098,0.30733874,0.29148042,0.26501366,0.23885359,0.22163796,0.21561527,0.21655488,0.2173323,0.2128702,0.20342158,0.19417869,0.1913826,0.19779302,0.21025312,0.22197819,0.22706753,0.22409777,0.21545155,0.20445065,0.1930635,0.18223202,0.1732381,0.16826577,0.1688924,0.17401701,0.17960988,0.18140288,0.17809694,0.17158057,0.16399552,0.15501873,0.14232288,0.1253383,0.10851693,0.10219165,0.11688014,0.15637618,0.21191694,0.26723686,0.30709437,0.32623053,0.32780948,0.31826553,0.3013035,0.27862877,0.2525134,0.22818716,0.21172722,0.20725186,0.21462537,0.22984968,0.24630658,0.2568613,0.25645205,0.2441685,0.22365294,0.20113797,0.1827267,0.17205714,0.17019194,0.17622322,0.1890017,0.20636463,0.2251371,0.24024558,0.2476049,0.2462514,0.24014604,0.2353747,0.23611467,0.24193256,0.24908364,0.25443536,0.25761327,0.26088727,0.2665381,0.2751689,0.28497568,0.2924869,0.29411057,0.28728694,0.27287313,0.25596452,0.24487866,0.24553196,0.25671503,0.27077708,0.27936617,0.2791188,0.2712583,0.25872537,0.24309939,0.22511123,0.2056192,0.18658705,0.17042072,0.15886973,0.1520548,0.14874528,0.14788897,0.14998078,0.15692015,0.16962695,0.18634677,0.20293213,0.21595913,0.22443114,0.22968878,0.23324956,0.23589613,0.23765711,0.23869164,0.23983902,0.24292535,0.2495534,0.2599414,0.27200356,0.28356576,0.29390216,0.30436718,0.31577682,0.32667553,0.33357808,0.33308813,0.3240373,0.30745062,0.28654388,0.2656942,0.24980439,0.24129087,0.23883252,0.23833527,0.23735845,0.23639911,0.23686002,0.23739989,0.23462117,0.22619133,0.21303385,0.19804792,0.18400909,0.17248921,0.16412967,0.15843241,0.15421665,0.14994292,0.14505063,0.13979588,0.1350437,0.13092633,0.12665996,0.12108692,0.11515242,0.113398395,0.1224015,0.14525005,0.17713015,0.20661606,0.22287007,0.22223236,0.20900382,0.19067806,0.17283289,0.15753573,0.144611,0.13354132,0.12408174,0.11647814,0.11138966,0.10928918,0.10969508,0.11062193,0.110138856,0.10758045,0.10411128,0.10091939,0.09816488,0.095327325,0.092671655,0.091854066,0.09419794,0.09939924,0.104932494,0.108339734,0.10854799,0.10669998,0.10455247,0.1032893,0.10282376,0.10241204,0.101413965,0.099931866,0.0992813,0.10232248,0.11212849,0.12939732,0.14982466,0.16563277,0.16988207,0.16095085,0.14242542,0.12036008,0.100325584,0.088073105,0.09019034,0.11424381,0.1619258,0.22535996,0.28574005,0.3261797,0.34007657,0.3356334,0.32469752,0.3152329,0.30740604,0.2984041,0.28591993,0.269614,0.25222823,0.23924053,0.23775418,0.25078654,0.2743471,0.29930484,0.3177131,0.32703492,0.32720765,0.31765476,0.29657516,0.26575354,0.2320357,0.20443188,0.18947697,0.18845178,0.19976318,0.2188043,0.23985706,0.25499928,0.25947705,0.2529754,0.24080235,0.22778787,0.21571493,0.20284347,0.18791617,0.1721145,0.15815397,0.14814548,0.14231123,0.14022994,0.1411879,0.14453416,0.14927672,0.1555923,0.1647863,0.17734404,0.19013745,0.19765763,0.19726999,0.19221292,0.18925719,0.19179893,0.19766907,0.20130323,0.19965112,0.19345985,0.18589042,0.1780933,0.16893226,0.1573093,0.1474319,0.1485012,0.16839325,0.20566587,0.24791245,0.2808421,0.29620716,0.2960784,0.28567204,0.27003732,0.2509632,0.23160337,0.21604425,0.2094063,0.21428703,0.2301691,0.25319025,0.27735314,0.2970054,0.30838016,0.31026173,0.3021457,0.28364223,0.2554018,0.2205487,0.18497796,0.15574838,0.13883905,0.13677067,0.14597069,0.1588977,0.16754305,0.1698339,0.16743897,0.16361994,0.15997697,0.16034317,0.17038192,0.19339721,0.22459514,0.25338757,0.27181444,0.27984476,0.2824837,0.2826283,0.2786263,0.26750407,0.24915141,0.22711046,0.20607345,0.18985824,0.18006724,0.17621177,0.17611367,0.17683996,0.1760702,0.17240466,0.16615051,0.15854317,0.15182,0.14756757,0.14640279,0.14746886,0.14957398,0.15205544,0.15512855,0.15964754,0.16584074,0.17251468,0.17659205,0.17470928,0.16626316,0.15516217,0.1488782,0.15283681,0.16620632,0.18126243,0.18976848,0.18985184,0.1882006,0.19478285,0.21471262,0.24447995,0.27468577,0.29652905,0.30620667,0.30474678,0.29532143,0.28134903,0.2666017,0.2554113,0.25057387,0.2514983,0.2536945,0.25195783,0.24371314,0.23162283,0.22329171,0.22631066,0.24276412,0.26568508,0.2846993,0.29272518,0.2905881,0.28358164,0.27687716,0.2729248,0.27181974,0.27265224,0.27387974,0.2736825,0.27038166,0.26275253,0.2507828,0.23487836,0.21564466,0.19247806,0.16570611,0.13894086,0.12175941,0.12526281,0.15424679,0.20016706,0.24404037,0.26706028,0.26175985,0.2355144,0.20490141,0.18646221,0.1884069,0.20873474,0.23780406,0.2654148,0.28511333,0.2959893,0.2998973,0.2996043,0.2974235,0.29468524,0.29066816,0.28258184,0.26853755,0.25071713,0.23593818,0.23069704,0.23672979,0.2492485,0.2610402,0.2659147,0.26151,0.2489137,0.23248976,0.21842813,0.21285324,0.21892196,0.23530269,0.25661412,0.27667198,0.2911909,0.29924878,0.30180642,0.30017868,0.29474843,0.28535315,0.27220723,0.2568951,0.24187125,0.2289597,0.2179337,0.20737804,0.19674073,0.18783343,0.1840148,0.18753369,0.19794084,0.21187627,0.22562106,0.2364344,0.24353014,0.24711214,0.24834277,0.24874578,0.24925888,0.2488786,0.24544513,0.23830391,0.23065506,0.22812022,0.2340154,0.24561119,0.2543917,0.25273237,0.2400983,0.22524242,0.21821272,0.22117175,0.22476749,0.21752574,0.19730783,0.17603774,0.16992438,0.18728624,0.22178225,0.258836,0.2854735,0.29755977,0.2986045,0.29491505,0.29097477,0.28812817,0.2858123,0.283555,0.2819024,0.28158435,0.28203675,0.28123137,0.27730033,0.27054873,0.26342198,0.2585745,0.25665793,0.25631282,0.25579703,0.25445318,0.2528067,0.25133213,0.25016835,0.24810183,0.24314462,0.23164563,0.21148996,0.1836379,0.15555856,0.1377526,0.13989799,0.16344923,0.20105056,0.23954606,0.26860246,0.28456748,0.290113,0.2889516,0.28364587,0.2752262,0.26446444,0.25123945,0.23430383,0.21211644,0.18487428,0.15545785,0.12811048,0.10587057,0.089026056,0.07588711,0.06474098,0.05501869,0.047075465,0.04131105,0.037866328,0.036633387,0.03746718,0.040052112,0.043899726,0.048373777,0.052823365,0.05645914,0.058238257,0.05750504,0.056681365,0.06280211,0.085535444,0.1273593,0.17883211,0.22058316,0.23963128,0.23762882,0.23264325,0.24607103,0.2901879,0.3585794,0.4282538,0.4750559,0.48958448,0.482119,0.47115096,0.46791795,0.47250763,0.47702137,0.477109,0.4722382,0.46702266,0.46313998,0.46143022,0.46032313,0.45992848,0.45892608,0.45665964,0.4526067,0.44913027,0.44678935,0.44447994,0.43853915,0.43009153,0.42197427,0.41713822,0.41231146,0.40426925,0.393007,0.3835236,0.37952027,0.37994292,0.37983656,0.3750092,0.36535323,0.3561389,0.35280427,0.35810927,0.36773577,0.3766108,0.38015696,0.37861812,0.37258342,0.36396787,0.35424924,0.34613493,0.3416612,0.34201637,0.34649566,0.35316327,0.3588098,0.36038244,0.35610795,0.34681383,0.33454618,0.32050538,0.3031752,0.28081593,0.25506285,0.23301427,0.2226497,0.22739704,0.24343447,0.26424047,0.28439945,0.30165425,0.31421086,0.3211933,0.32253364,0.3205702,0.3176658,0.31549856,0.31349456,0.3093783,0.29894504,0.28047666,0.26029187,0.255735,0.2830828,0.3421478,0.4095159,0.45679787,0.4710345,0.46156192,0.44453093,0.42887974,0.4144962,0.4002758,0.388178,0.38122496,0.37991133,0.38262066,0.38666007,0.39038298,0.39264584,0.39367995,0.39406726,0.39467797,0.39577428,0.39698258,0.39750457,0.3967191,0.39452398,0.39168045,0.38902423,0.3873947,0.38702264,0.38783744,0.38933882,0.39059392,0.39033774,0.38752612,0.3816268,0.37374994,0.3659896,0.36148563,0.36214587,0.36732092,0.3738923,0.37749562,0.3761045,0.3691229,0.357371,0.34050646,0.31875977,0.29416102,0.27052647,0.25151587,0.23774254,0.22856425,0.2243369,0.22876328,0.24487023,0.2708325,0.2986814,0.31962493,0.32946873,0.32985476,0.3246702,0.3165588,0.30574104,0.29127797,0.27280667,0.25253236,0.23567231,0.22789799,0.23100644,0.2405652,0.24921842,0.25277534,0.25312543,0.25536084,0.26107463,0.26673892,0.26839057,0.27015793,0.28584746,0.32676283,0.38892782,0.44854808,0.4819431,0.48028266,0.45600024,0.42504168,0.39769113,0.37546563,0.35940722,0.3507758,0.34932578,0.35120216,0.35194084,0.3496578,0.34576857,0.3429391,0.342616,0.3446046,0.3474845,0.3501835,0.35219774,0.35376313,0.35525155,0.3567303,0.35793254,0.35833225,0.35750008,0.35491565,0.3499241,0.34297803,0.33603835,0.33221087,0.33221528,0.33351624,0.33155552,0.3248177,0.31668124,0.31375882,0.3190807,0.3291137,0.33505666,0.3315209,0.31971073,0.3066418,0.29695943,0.29002503,0.2799524,0.261117,0.23193939,0.1968043,0.16414173,0.14250706,0.13701458,0.14707786,0.16711111,0.18851578,0.20380883,0.20941228,0.20676178,0.20016421,0.19377357,0.1897615,0.1880535,0.18813817,0.1894982,0.1920306,0.19447185,0.19490655,0.19137986,0.18377165,0.17377007,0.16356158,0.1543708,0.14548172,0.13624732,0.12953304,0.13517426,0.16711174,0.23053068,0.31228706,0.38348305,0.4212055,0.42256308,0.40280378,0.37814033,0.35523698,0.33418167,0.31452188,0.29943824,0.2913001,0.29010287,0.2926325,0.2956945,0.29807702,0.29976153,0.30167273,0.30404523,0.30724105,0.3106939,0.3134473,0.31524548,0.31738684,0.32280484,0.3336455,0.3492665,0.36600307,0.37888917,0.38522342,0.3853396,0.38219762,0.3790493,0.3778479,0.3792958,0.3822247,0.3855579,0.3878603,0.38886496,0.3875532,0.38304803,0.37459782,0.36351696,0.35244298,0.34432968,0.3403519,0.3397499,0.33947715,0.33556747,0.323513,0.30160573,0.27242178,0.24445067,0.22734009,0.22729819,0.24230711,0.26407683,0.28215516,0.29002383,0.2878754,0.281902,0.27929345,0.2833308,0.29181206,0.30082914,0.30797872,0.31402636,0.31955472,0.32434523,0.32598945,0.32196343,0.31001782,0.2907618,0.26975086,0.25586072,0.2568918,0.27454767,0.30720747,0.35389206,0.41150364,0.46873054,0.5045464,0.50480926,0.472584,0.4280165,0.38955355,0.36502528,0.35200062,0.34645557,0.3452634,0.34578136,0.34544924,0.34363553,0.34219936,0.34333792,0.34718132,0.35142377,0.35404232,0.35510716,0.35656878,0.3597829,0.3644407,0.36900255,0.3721149,0.3729221,0.37086692,0.36609814,0.3596401,0.35379186,0.35008094,0.34888938,0.34897888,0.3496772,0.35103273,0.35329702,0.35595104,0.35835454,0.36084294,0.36329997,0.36323917,0.35578862,0.33818665,0.3132895,0.28901234,0.27284276,0.26734924,0.2692573,0.27327955,0.2763115,0.2795576,0.28544173,0.29377642,0.3000308,0.29934406,0.29039297,0.27682364,0.26384255,0.2553406,0.25243357,0.254299,0.25909397,0.26471576,0.26984847,0.27419034,0.27854934,0.2834951,0.28867102,0.29224238,0.29199836,0.28686425,0.27763152,0.26561186,0.25073233,0.2312284,0.20729643,0.18597054,0.1831399,0.2158627,0.28609207,0.3715442,0.4349636,0.4522226,0.42708054,0.3842257,0.34460497,0.31600323,0.29782143,0.29101157,0.29684258,0.3122448,0.32956275,0.34166923,0.34623563,0.34485844,0.34097126,0.33733276,0.33561411,0.33568072,0.33653593,0.33706543,0.337013,0.33640417,0.33533013,0.33364937,0.33157662,0.32962906,0.32837048,0.32820836,0.32912913,0.33091262,0.33292377,0.33440658,0.33481565,0.33431372,0.3339331,0.33503363,0.33783486,0.34062934,0.33990407,0.33321276,0.32098743,0.30710432,0.29609278,0.29058096,0.29017115,0.2922529,0.2940264,0.29360315,0.29103684,0.28740585,0.28425705,0.2822791,0.28166822,0.28214502,0.2835112,0.28522542,0.28686672,0.28829476,0.29002967,0.29207957,0.2934288,0.29215518,0.28744444,0.2805933,0.2745786,0.27160773,0.27151886,0.2720859,0.2713954,0.26984942,0.26988554,0.27361393,0.28056863,0.28846037,0.2972542,0.3115177,0.3383738,0.37705362,0.415894,0.43565026,0.42777553,0.39866185,0.366518,0.34358406,0.33203852,0.3264129,0.32268775,0.32045484,0.32049182,0.3224468,0.3243464,0.324954,0.32436955,0.3239013,0.32429838,0.32521787,0.32571128,0.32540414,0.32500866,0.32541904,0.32683638,0.32819334,0.3281727,0.3261055,0.32288262,0.3202667,0.31987783,0.321772,0.3246695,0.32682344,0.3275574,0.3273315,0.32730636,0.3283297,0.33061305,0.3331636,0.33356643,0.32883,0.3175195,0.30148065,0.28482747,0.2713342,0.26254365,0.25787005,0.2556666,0.2536515,0.24985225,0.24347724,0.23581016,0.22911821,0.22509082,0.22368129,0.22365654,0.22348852,0.22190337,0.21806507,0.21174525,0.20376943,0.19558068,0.1889221,0.1862688,0.19187261,0.21145429,0.24720198,0.2937513,0.33787224,0.36780596,0.38005134,0.38147727,0.3802849,0.38058162,0.37987503,0.37593028,0.37149528,0.37642762,0.40125513,0.44479147,0.48988616,0.5103392,0.49266565,0.44455084,0.38852015,0.3439074,0.31675386,0.30432987,0.3004359,0.30248144,0.30866304,0.3180481,0.32753408,0.33380315,0.33543596,0.33429265,0.33380008,0.33610773,0.34063017,0.34557846,0.3489717,0.35053316,0.35105476,0.35316208,0.35859954,0.3672655,0.37524357,0.37815747,0.3736439,0.3641819,0.35502157,0.35097313,0.3531631,0.3584524,0.36246374,0.36275455,0.36035845,0.3575,0.35461536,0.35007632,0.3418106,0.33017865,0.31734756,0.3060658,0.29727098,0.29020822,0.28335127,0.27586088,0.26785016,0.25901607,0.247598,0.23131613,0.21077587,0.19105095,0.17818777,0.17407173,0.17534077,0.17955984,0.18846373,0.20565945,0.22864924,0.24977808,0.26186338,0.26550487,0.26565233,0.2659347,0.2650651,0.2609891,0.2549657,0.25108024,0.25179267,0.25491118,0.25543904,0.24850707,0.23177634,0.20635235,0.17911716,0.16217689,0.166548,0.19305877,0.22895305,0.25669098,0.26519272,0.25581717,0.23765408,0.22023962,0.20897718,0.2034722,0.20014332,0.19423549,0.1838374,0.16925351,0.15251072,0.13512118,0.118438154,0.10346961,0.091210574,0.08217663,0.07641072,0.0732551,0.07157216,0.070159875,0.06847588,0.066895075,0.06613237,0.06645674,0.0672281,0.06763468,0.06729578,0.06665588,0.066257834,0.0664044,0.066940986,0.06764775,0.06938619,0.0750406,0.09000065,0.1175138,0.15519239,0.19303082,0.22146493,0.23644547,0.2412815,0.23934275,0.23098452,0.21453524,0.19085316,0.1641156,0.13954699,0.12120808,0.11217347,0.114908695,0.1297949,0.1523207,0.17352243,0.18474235,0.18342106,0.17376494,0.16232264,0.15207835,0.14181219,0.12911917,0.11572475,0.10759007,0.11119145,0.12694551,0.14756201,0.16222934,0.16375472,0.15223168,0.13316391,0.113129534,0.0967417,0.085619666,0.079055645,0.07512293,0.07304633,0.07361882,0.07835475,0.08659288,0.09568911,0.10243233,0.10580361,0.106588565,0.106391214,0.10591286,0.10505891,0.103691936,0.10364029,0.10962311,0.12670203,0.15463744,0.1844914,0.20367737,0.20547938,0.19444315,0.1809864,0.17270203,0.17008805,0.17019033,0.17096229,0.17336793,0.18006551,0.19439195,0.21739589,0.24647981,0.27478272,0.29614827,0.3070558,0.30727792,0.29605928,0.27401832,0.24482842,0.21635284,0.19568752,0.18630879,0.18905866,0.20405598,0.23000781,0.2603825,0.28596875,0.29919967,0.2987902,0.28627822,0.26256624,0.2283454,0.189295,0.15863079,0.15072156,0.1706438,0.20897333,0.24755208,0.27168593,0.27642465,0.2653114,0.24324308,0.21378373,0.1792485,0.14308232,0.10977703,0.08412578,0.07033839,0.07165939,0.08898727,0.11911168,0.15471123,0.18791103,0.21469486,0.23584342,0.25384894,0.26913795,0.2796195,0.28443626,0.28764328,0.30047762,0.3326334,0.384106,0.43795052,0.47380102,0.48087204,0.4671564,0.44730544,0.4321096,0.42234823,0.41583657,0.40903142,0.40041313,0.38736358,0.37136683,0.35517263,0.3434992,0.33730444,0.33553532,0.335358,0.33456767,0.33146068,0.32517755,0.31678927,0.30954686,0.30732414,0.31155792,0.31877354,0.3227872,0.31835547,0.30563203,0.28881872,0.27350578,0.26308993,0.2587751,0.259582,0.26306883,0.26629472,0.26866928,0.2730054,0.2822235,0.29388627,0.29897094,0.2884735,0.26135394,0.22603458,0.19420014,0.17299807,0.16311939,0.1609789,0.16308264,0.16742498,0.17355774,0.18122257,0.18975697,0.19792233,0.20450473,0.2088874,0.2116035,0.21377291,0.2161548,0.21838373,0.21918212,0.21752514,0.21370225,0.20995714,0.20954347,0.21369086,0.21970457,0.22134088,0.21452622,0.20063753,0.18641917,0.17797989,0.17578256,0.17501068,0.16924548,0.15988481,0.1580285,0.18399186,0.24893431,0.3432467,0.43235087,0.4816811,0.47856823,0.4403571,0.39447078,0.35946444,0.33840036,0.32665765,0.3187997,0.31113482,0.30196562,0.2920862,0.28378066,0.279065,0.27834204,0.2810084,0.285523,0.28989288,0.29207894,0.29148856,0.28892413,0.285731,0.28275272,0.28081337,0.28128764,0.28541818,0.29264382,0.30013192,0.3043295,0.30368963,0.29926494,0.29394594,0.29076317,0.2928438,0.3029424,0.3212776,0.3435482,0.36115754,0.3665221,0.35718966,0.33756837,0.3148096,0.29494807,0.2801248,0.26978508,0.26230186,0.2562552,0.2500501,0.24286045,0.23656933,0.23653239,0.24768515,0.2688998,0.29218006,0.30834615,0.31396773,0.31191188,0.30689946,0.30119595,0.29482675,0.28783444,0.2815355,0.2775092,0.2760487,0.2755765,0.2737784,0.2697034,0.26512215,0.26362398,0.26767638,0.2763674,0.2855123,0.2903163,0.2882478,0.2827976,0.2840431,0.305693,0.35233414,0.41249457,0.4606379,0.47747457,0.4620249,0.43089095,0.40153018,0.3816649,0.36996886,0.36269775,0.35823083,0.3560083,0.35510132,0.35437083,0.3531944,0.35248443,0.35276878,0.35370266,0.35381475,0.35221636,0.3493061,0.345956,0.34326828,0.34179595,0.34238532,0.3449384,0.34876564,0.35191453,0.3527694,0.3504611,0.34609947,0.3423901,0.34259084,0.34831896,0.35722026,0.36410844,0.36388028,0.35653493,0.34674048,0.3407093,0.34063283,0.34377608,0.34501803,0.34084392,0.33158913,0.32032263,0.31097773,0.3051742,0.30129942,0.2939913,0.27854183,0.25492632,0.23180918,0.21993251,0.22447103,0.23752071,0.24612536,0.240905,0.22375424,0.20117992,0.17905279,0.15909238,0.14349307,0.13598369,0.14103353,0.1597781,0.18836999,0.21760273,0.23516677,0.23147605,0.20538199,0.16596247,0.12634349,0.096106,0.07798914,0.07153916,0.07996724,0.112894855,0.18020189,0.2786599,0.3848742,0.46525845,0.4989345,0.49017003,0.46115586,0.43106,0.40671298,0.38528505,0.3646154,0.34574983,0.33150253,0.32340822,0.321519,0.3243797,0.3292243,0.33180472,0.32914102,0.32109806,0.31176314,0.30641034,0.30932102,0.321082,0.33881685,0.35680842,0.36984324,0.3748962,0.37256262,0.36461493,0.3537377,0.34261724,0.33536422,0.33537397,0.34331036,0.3547282,0.36274812,0.36259452,0.35557413,0.34780416,0.3452206,0.34936354,0.3565295,0.36048672,0.35486165,0.3352923,0.30124143,0.257883,0.2150807,0.18273883,0.16525686,0.16007163,0.16079746,0.16223276,0.16310179,0.16574275,0.17338474,0.18700385,0.20388341,0.21908413,0.22849713,0.23153253,0.2312292,0.23306884,0.2418197,0.25940812,0.28290316,0.3067361,0.32503498,0.3347012,0.3335644,0.31890228,0.28906626,0.24921995,0.21517771,0.20422308,0.22413383,0.26625153,0.3180523,0.37168005,0.42545462,0.47173253,0.49722782,0.49216154,0.46183693,0.42166758,0.3854978,0.35759214,0.3364277,0.32152185,0.31393182,0.31372425,0.3158109,0.31451324,0.30600807,0.29248133,0.27809605,0.26727656,0.2611438,0.25917652,0.2594285,0.26097095,0.26323357,0.26666185,0.27118543,0.27647766,0.28143597,0.28493252,0.28606692,0.28490117,0.28328356,0.28541216,0.29572976,0.3152939,0.33829036,0.35508275,0.35807553,0.3485695,0.3350422,0.32758126,0.3294472,0.33632183,0.3400259,0.33635315,0.32733974,0.31920138,0.3164736,0.31879577,0.32071796,0.31478167,0.2967001,0.27012852,0.24598604,0.23398505,0.23260726,0.22994626,0.21508105,0.1898104,0.16638368,0.15715985,0.16578595,0.18689322,0.21034741,0.2260382,0.23069857,0.22945851,0.23175408,0.24002002,0.24721996,0.24457079,0.23319966,0.2245598,0.22784841,0.23994751,0.24721354,0.24084681,0.22720373,0.22633524,0.25763348,0.3227038,0.40209603,0.4642549,0.48989987,0.47893867,0.44876924,0.41561583,0.3899416,0.37398505,0.36614048,0.36249474,0.3591218,0.3554561,0.35257265,0.35182348,0.3516394,0.34951887,0.34401223,0.33649862,0.33013657,0.32721046,0.32758823,0.32944536,0.3312265,0.3330841,0.33572388,0.3392087,0.3429221,0.34610704,0.34908083,0.35092887,0.35033178,0.3450873,0.33566698,0.32520223,0.31811836,0.31758252,0.3226314,0.32957947,0.33178505,0.32356647,0.30153224,0.26777586,0.22843169,0.19137906,0.16302352,0.14704913,0.14376022,0.14960438,0.15861374,0.16624892,0.17372952,0.18669623,0.20937671,0.23847611,0.26522982,0.28204384,0.28824782,0.28860995,0.2885729,0.2905264,0.2937334,0.29632032,0.29743472,0.29819345,0.3006587,0.30578634,0.31236577,0.31828573,0.32262835,0.32612324,0.32886556,0.32806036,0.31783321,0.29345784,0.25675422,0.2209133,0.20766912,0.23527741,0.3027563,0.3842796,0.44488648,0.4633195,0.44558334,0.4127859,0.38377967,0.3628125,0.34621537,0.3298308,0.3156326,0.30779088,0.30934536,0.3186479,0.33099017,0.34123003,0.3458923,0.34429082,0.337643,0.32887372,0.32104987,0.31686774,0.31756976,0.3223877,0.32916287,0.33544692,0.34084484,0.34606004,0.35187545,0.35715306,0.36024538,0.36065623,0.35923395,0.3571093,0.35409787,0.35015526,0.34651566,0.3455336,0.34872362,0.3538388,0.35581866,0.3481693,0.3277832,0.29637572,0.26063803,0.2281972,0.20391458,0.18841417,0.17944622,0.17537504,0.17692727,0.1877113,0.20981424,0.24095178,0.27193215,0.29305372,0.2984066,0.2912756,0.2797861,0.273558,0.27697456,0.2882599,0.30060938,0.30763677,0.3073611,0.30207673,0.29572204,0.29057035,0.28765118,0.28688195,0.28832984,0.29081598,0.29192278,0.287001,0.27114227,0.24334304,0.21293275,0.20116192,0.22892694,0.29905012,0.38558325,0.4516132,0.4740366,0.4601241,0.43285993,0.41175082,0.4010276,0.39600432,0.39129126,0.38446775,0.3763328,0.36904716,0.36518702,0.36461392,0.36478242,0.36287248,0.35906124,0.35588333,0.35529754,0.35653737,0.35752702,0.35715854,0.35616255,0.35551575,0.35526994,0.35440913,0.35204014,0.34796408,0.34319183,0.33925018,0.3377508,0.33928624,0.34327778,0.34828603,0.3526685,0.35546958,0.35600436,0.3529412,0.34346607,0.32409844,0.29404685,0.25630334,0.21739866,0.18308657,0.15695423,0.13951136,0.13015623,0.1276022,0.13057764,0.13767767,0.14770548,0.15965982,0.17281292,0.18633449,0.19927768,0.21048243,0.2192449,0.22549407,0.23005855,0.23366612,0.23577642,0.2332959,0.22200336,0.19994713,0.17073993,0.14218415,0.121253215,0.11001247,0.106399655,0.10856984,0.11677023,0.13168158,0.15082611,0.1687945,0.18208593,0.19464833,0.21934299,0.26781818,0.33881557,0.41084203,0.4559923,0.45731008,0.42178264,0.3705467,0.3248899,0.2943225,0.27822366,0.27107167,0.2676699,0.26513228,0.26222542,0.25926185,0.256694,0.25505158,0.25386378,0.25235233,0.24993801,0.24714781,0.2453653,0.24623269,0.25083628,0.25928894,0.27069366,0.2831382,0.29410958,0.30115435,0.30342528,0.30219236,0.30017877,0.2992654,0.29939812,0.29899952,0.2968729,0.2937633,0.29231617,0.29576233,0.30412135,0.31287527,0.31382242,0.3017827,0.27801618,0.24990398,0.22461987,0.20534642,0.19132848,0.1805206,0.17127514,0.16223077,0.15287857,0.14443327,0.13961618,0.14036511,0.14501232,0.14895223,0.14781357,0.14109798,0.13177322,0.12363107,0.11849213,0.11596316,0.11527913,0.11830286,0.13141549,0.16303207,0.21605581,0.28181744,0.34230623,0.38196886,0.3969234,0.39505014,0.3869902,0.37930366,0.3731151,0.36831725,0.36775887,0.3793576,0.4095366,0.45436725,0.4946568,0.50827235,0.48591432,0.43806043,0.38443062,0.3402557,0.3114043,0.29694527,0.29377466,0.2977469,0.3047582,0.3113327,0.31497493,0.31492582,0.3120589,0.30900648,0.3078731,0.3092742,0.3118889,0.31432208,0.31590164,0.31739026,0.320475,0.3275343,0.3396831,0.35522604,0.36946523,0.37762424,0.37846246,0.37467405,0.37125865,0.37135574,0.37550655,0.3807629,0.38388523,0.38289523,0.37926057,0.37540856,0.37230334,0.36765823,0.35872027,0.34483233,0.32769954,0.30804777,0.28406462,0.25395706,0.22052985,0.19138394,0.17419815,0.17117007,0.18004964,0.19699313,0.21899307,0.24012233,0.25164604,0.24501015,0.21935534,0.18268241,0.14760077,0.12295122,0.11057111,0.107824035,0.112980515,0.12482717,0.13897324,0.14639284,0.14047167,0.124415,0.10995739,0.108288266,0.12148309,0.1448255,0.17212607,0.19982518,0.22678989,0.25475222,0.29237458,0.34674928,0.41460633,0.47171888,0.492227,0.467031,0.414855,0.36331525,0.3293338,0.31290504,0.30551103,0.30118537,0.29832003,0.29784045,0.29949918,0.30123606,0.30086327,0.2982168,0.29547143,0.29479626,0.29572657,0.29596367,0.2939174,0.29163292,0.29316542,0.30229688,0.31953284,0.3424271,0.36588803,0.38413492,0.39279947,0.39073017,0.38029936,0.3652285,0.34943703,0.335492,0.3249512,0.31805113,0.3144395,0.31371638,0.31494817,0.31737527,0.3194693,0.32025233,0.31744066,0.30891976,0.29269183,0.2691817,0.24037667,0.20903844,0.17753105,0.14816405,0.12385655,0.10775878,0.10172572,0.10466051,0.1129807,0.123100944,0.1336074,0.14457059,0.15478973,0.16044521,0.15701212,0.14328368,0.12364322,0.10657972,0.099622004,0.10419015,0.11454221,0.12164557,0.12114793,0.11769449,0.12463423,0.15289758,0.20281255,0.2590697,0.3024501,0.32153106,0.32296383,0.32699656,0.35147712,0.39789832,0.44501114,0.470111,0.46334645,0.43836614,0.41204584,0.39542124,0.38661313,0.38186595,0.37761447,0.37325466,0.3688365,0.36586073,0.3655064,0.36708796,0.36741173,0.3629264,0.35257792,0.33874595,0.32600293,0.31804302,0.31613314,0.31884888,0.3244853,0.3323338,0.3426859,0.3548002,0.365815,0.37185073,0.37024865,0.36131987,0.34844264,0.3368447,0.33194152,0.33643544,0.3492476,0.36554825,0.37992096,0.38777843,0.38659605,0.3755759,0.35654223,0.33297566,0.3081795,0.2830405,0.25722072,0.23168196,0.21033828,0.19750345,0.1941808,0.19677351,0.20056276,0.20460546,0.21227764,0.22667585,0.24573632,0.26329622,0.27467534,0.28019133,0.2836033,0.28758565,0.29170227,0.2930456,0.28879654,0.2793045,0.26842394,0.26210997,0.2626023,0.26786947,0.27263013,0.27454063,0.27428952,0.27459967,0.2760382,0.27733517,0.27802923,0.28310835,0.303243,0.34576222,0.40388036,0.4546914,0.4756415,0.46188244,0.42948577,0.39961544,0.38203558,0.37258455,0.36118165,0.34291705,0.32016468,0.3015199,0.29393074,0.29965946,0.31373224,0.32916728,0.33933607,0.34109318,0.3332413,0.31757477,0.2977908,0.27951676,0.2665285,0.26029095,0.2597721,0.26533368,0.278021,0.29785457,0.32002306,0.33671996,0.34112528,0.33225462,0.3153304,0.299322,0.29194447,0.2961029,0.30872437,0.32359627,0.33426166,0.3358988,0.32539818,0.30230293,0.26972982,0.23442727,0.20489742,0.18909381,0.19042616,0.20567457,0.22415929,0.23429209,0.22925216,0.21178408,0.18999135,0.17231864,0.16226192,0.15861998,0.15759516,0.15645562,0.15574987,0.1595154,0.1714436,0.19043387,0.20891224,0.21843755,0.21587221,0.20561294,0.19407938,0.18476647,0.17725885,0.17033833,0.16332144,0.15474953,0.14205807,0.12428998,0.10624397,0.10030968,0.12231683,0.18436503,0.28090093,0.38751116,0.46813497,0.5030238,0.4962312,0.47161052,0.44647363,0.42738688,0.41159034,0.39971006,0.39244497,0.39021596,0.3902069,0.3906895,0.39115322,0.39206052,0.39342785,0.39410594,0.39269665,0.38866603,0.3831257,0.37863946,0.37666142,0.37759456,0.38016674,0.3836111,0.38738498,0.39136538,0.3956202,0.40002057,0.40442804,0.40787208,0.40903297,0.40719453,0.40298998,0.39840314,0.39483848,0.39227787,0.38957763,0.38518107,0.37783375,0.36521566,0.34543738,0.317757,0.28508833,0.2520919,0.22348857,0.201367,0.18566664,0.17551196,0.17108816,0.17469674,0.1882537,0.21079701,0.2354492,0.25367412,0.259184,0.25299403,0.24090387,0.23121548,0.22924757,0.2360212,0.24676764,0.25552288,0.25794122,0.25443885,0.24733354,0.23934919,0.23158209,0.22448932,0.21754861,0.21014689,0.20174803,0.19445157,0.1925339,0.2014895,0.22449882,0.26316115,0.31783995,0.38445166,0.44903842,0.48999,0.49242496,0.46120536,0.41705343,0.3805251,0.35846236,0.3470997,0.34012273,0.33497795,0.33153272,0.3301457,0.3308603,0.33329788,0.336524,0.3391473,0.34026897,0.34071216,0.34203658,0.34480116,0.3471607,0.3466897,0.34297,0.3384689,0.3360648,0.33636698,0.33691296,0.33512592,0.33027282,0.32524285,0.32369837,0.32879606,0.33927318,0.35063192,0.35650456,0.3546168,0.34835196,0.34445512,0.34690547,0.35339925,0.35768792,0.353479,0.338225,0.31361064,0.28582892,0.263167,0.25157747,0.25093886,0.25575447,0.2610914,0.26545596,0.26963156,0.27213037,0.26988915,0.26179263,0.25138092,0.24468875,0.2451679,0.25057897,0.2531026,0.24372785,0.21827634,0.18187077,0.14797257,0.13018037,0.13334881,0.15036654,0.16936679,0.1825695,0.19032006,0.19577415,0.19938926,0.19659334,0.18231738,0.15705256,0.13256267,0.13169958,0.1774956,0.27448285,0.39673257,0.49839607,0.5442465,0.53168666,0.48812923,0.44412842,0.41543376,0.39993,0.39054373,0.38221407,0.37424576,0.36737323,0.36244723,0.36006173,0.36015776,0.36223724,0.36505067,0.3673861,0.36836728,0.3682216,0.3678154,0.36834526,0.3702921,0.37335873,0.37607133,0.37606892,0.3713065,0.36175036,0.35060033,0.34234715,0.34016886,0.3438103,0.35069218,0.35756126,0.36236206,0.36466292,0.3657467,0.36745453,0.37013432,0.3720915,0.36993465,0.3614926,0.3458295,0.32408977,0.29890314,0.27497032,0.2571546,0.24696499,0.24147695,0.23518135,0.22475547,0.21056642,0.19588782,0.18373798,0.17490695,0.1675018,0.15864761,0.14680345,0.13338262,0.1223738,0.118409276,0.124366485,0.14006245,0.16279691,0.18891764,0.21445693,0.23513289,0.24620222,0.24458337,0.22989534,0.20537157,0.17650516,0.15104209,0.136344,0.1376068,0.15666251,0.19599153,0.25810146,0.33911395,0.42070293,0.47612885,0.48818043,0.4619414,0.4195317,0.38258168,0.3608934,0.35251558,0.3509324,0.3504456,0.34867683,0.34577,0.3429707,0.34076497,0.3393066,0.33883545,0.34012032,0.34358475,0.3487896,0.35442147,0.35869256,0.3604704,0.3602613,0.36034706,0.36295033,0.3681308,0.3734914,0.37577978,0.3731873,0.36593035,0.355873,0.3449166,0.33419845,0.32418874,0.3159211,0.31156898,0.31350732,0.32220602,0.33558556,0.34940124,0.3598779,0.36473003,0.36435702,0.3602239,0.35389698,0.34561983,0.3351675,0.32258943,0.30940127,0.2976478,0.28937274,0.28462496,0.28203118,0.2789282,0.27404618,0.26737025,0.26018253,0.25303483,0.2463633,0.24050419,0.23631556,0.23404817,0.23460042,0.24053454,0.25686383,0.28616628,0.3251013,0.36329892,0.39071247,0.40283015,0.40299082,0.3970671,0.38934195,0.38083223,0.37233004,0.3681252,0.37627658,0.40332758,0.4461433,0.48970762,0.51545787,0.51402324,0.49079764,0.45920858,0.43028295,0.40772042,0.3903378,0.37687638,0.36750197,0.36402622,0.36720896,0.37652424,0.38885427,0.401041,0.41058615,0.4172114,0.4212416,0.42322895,0.4232742,0.42195717,0.41999152,0.4179819,0.41607833,0.41473043,0.4147443,0.41674316,0.42027488,0.42426673,0.4273132,0.42812088,0.42486146,0.41648734,0.40329358,0.38865983,0.3768448,0.37132815,0.3709797,0.37124273,0.36671373,0.35579863,0.34127453,0.32744214,0.31617877,0.3050159,0.28905317,0.26493216,0.2344098,0.2048722,0.18540508,0.18204097,0.19407858,0.21513307,0.23613565,0.25014925,0.25465563,0.25168946,0.24531811,0.2391141,0.23416567,0.2279195,0.2166062,0.1999781,0.18522762,0.1817636,0.19181538,0.20559172,0.20941246,0.19728334,0.17519118,0.1534481,0.13812296,0.12794036,0.11936737,0.11261437,0.116311274,0.14683427,0.21793865,0.32617113,0.44234976,0.52655923,0.5542369,0.5327717,0.49109396,0.4551114,0.4338291,0.4220225,0.4129355,0.40358117,0.39439282,0.38634288,0.3801787,0.37732896,0.3777356,0.3799475,0.38037714,0.377352,0.37090445,0.36314496,0.35492456,0.3467919,0.3392129,0.33448365,0.3349078,0.34121025,0.35101652,0.36058024,0.3673164,0.37169912,0.37633196,0.38403836,0.39519385,0.40748057,0.4164163,0.41912094,0.41588727,0.41027156,0.40511855,0.40075704,0.39547607,0.38858223,0.3813175,0.37587106,0.37308896,0.37228474,0.371634,0.37013802,0.36768007,0.36566558,0.36549473,0.36797604,0.37225354,0.3764652,0.37887135,0.37865138,0.37596908,0.3717856,0.36757886,0.36592957,0.36867484,0.3763034,0.3860229,0.3943175,0.39877248,0.3997694,0.3989959,0.3974272,0.39511013,0.39194396,0.38848534,0.38525677,0.38154593,0.3752825,0.36608648,0.35795113,0.36132202,0.3840096,0.4248165,0.46724787,0.49310565,0.49211898,0.4702246,0.4384944,0.40560272,0.37337658,0.34300077,0.31759384,0.30189797,0.29785478,0.30477166,0.31892815,0.3368572,0.35364422,0.36610743,0.371541,0.3706789,0.36523524,0.35817,0.35141325,0.34579897,0.3412579,0.33768868,0.33652815,0.33960775,0.34790513,0.35881236,0.36742452,0.36930728,0.36430788,0.3567232,0.35195622,0.35272422,0.35739172,0.36275044,0.36688897,0.37061238,0.375206,0.38033465,0.3843182,0.38598838,0.386169,0.3857642,0.3847039,0.38179055,0.37731504,0.37341526,0.3722256,0.37399778,0.37687525,0.3799071,0.3831377,0.38720033,0.3913742,0.3944992,0.3966938,0.3990675,0.40268925,0.40625468,0.40695298,0.40287587,0.39501294,0.38833475,0.387171,0.39324173,0.40235388,0.40880355,0.4085243,0.4025302,0.39537832,0.39068958,0.38929677,0.38901654,0.3897256,0.3954382,0.41393092,0.4491248,0.49327055,0.5275772,0.5341995,0.5107991,0.47064412,0.4308798,0.39965355,0.37606207,0.35635874,0.33883348,0.32435843,0.3144543,0.31128547,0.31446302,0.32176128,0.328213,0.3312632,0.33024323,0.32749984,0.3240598,0.32025716,0.31489313,0.30871332,0.30461052,0.30812874,0.32265785,0.34634736,0.37087634,0.38729903,0.39155683,0.3860925,0.3753297,0.3613112,0.34389675,0.32423756,0.30716923,0.29940638,0.3060473,0.32685006,0.3561108,0.38422838,0.40335318,0.41055313,0.40899643,0.40398932,0.39974964,0.3982856,0.3998138,0.4042549,0.41041985,0.41751114,0.42423654,0.43046013,0.43552592,0.43933406,0.44153395,0.4429376,0.44460058,0.44731155,0.4504771,0.452849,0.45371377,0.4537413,0.45409855,0.45529297,0.45660493,0.45704925,0.45596287,0.45288178,0.44716296,0.43859658,0.42852655,0.4194436,0.41353104,0.41120327,0.41321552,0.42279267,0.44602358,0.48361507,0.5243009,0.546403,0.53372407,0.48945734,0.43281838,0.38415906,0.35002634,0.32759646,0.3107228,0.29854795,0.2915475,0.2914618,0.29709932,0.30627704,0.31468138,0.3193989,0.31878397,0.31399503,0.307075,0.30061355,0.296458,0.2956313,0.29851362,0.30490386,0.3142072,0.32468477,0.33412123,0.33979312,0.34000596,0.3341688,0.32413462,0.31380472,0.3078018,0.3084911,0.31413126,0.32067043,0.3252013,0.32773364,0.32839307,0.32433286,0.3103874,0.28423655,0.24953933,0.21421961,0.18516232,0.16515161,0.15333982,0.1472361,0.14441013,0.14301778,0.1424231,0.14273816,0.14409475,0.14561002,0.1459519,0.14439653,0.14192565,0.14032309,0.14084725,0.14277476,0.1438718,0.14207475,0.13833088,0.13790114,0.14848322,0.17444558,0.21247149,0.2521191,0.28315702,0.3013743,0.30969283,0.312772,0.313041,0.30964628,0.30102488,0.28664187,0.2680249,0.2481581,0.23096955,0.21895146,0.21211584,0.2071169,0.20020306,0.18880683,0.17358746,0.15688865,0.14219053,0.13199173,0.1277992,0.12963818,0.13736719,0.15007098,0.1657729,0.18049203,0.1902721,0.19285055,0.18887669,0.18053937,0.17077036,0.1628828,0.15998162,0.16309784,0.16981798,0.1760438,0.17943124,0.18054736,0.18050319,0.17752339,0.16828765,0.15143822,0.13159876,0.11672475,0.113351494,0.12123654,0.13434422,0.14516711,0.14948076,0.14781584,0.14413597,0.14413942,0.15208833,0.16804212,0.18628834,0.19919814,0.2022053,0.19697465,0.18832909,0.17977804,0.17074053,0.15853234,0.14199315,0.12345954,0.10715005,0.09576305,0.08865372,0.08304468,0.07662323,0.06914256,0.061929066,0.05679432,0.05543898,0.059908856,0.072505616,0.09461058,0.1244267,0.15627794,0.18213928,0.19549994,0.19411685,0.18111604,0.16277643,0.14574786,0.13357683,0.12616087,0.12088194,0.116012804,0.112423204,0.11299922,0.11944788,0.12969649,0.13852277,0.14087509,0.13529874,0.12400187,0.11077675,0.09842271,0.088139296,0.079948045,0.073468395,0.068213105,0.063622616,0.05933195,0.055290792,0.0518095,0.04911669,0.047159184,0.045629714,0.04423,0.042789966,0.041262515,0.03968716,0.038205754,0.036978755,0.036094394,0.03541717,0.03461807,0.033390876,0.031694148,0.029839521,0.0282054,0.026980778,0.026093135,0.025376422,0.024765221,0.024346517,0.02465457,0.02679894,0.032161776,0.040912624,0.050984394,0.05854532,0.060692787,0.05730984,0.0508644,0.044027284,0.038149748,0.033259314,0.029191034,0.026954785,0.029523298,0.041937143,0.06791851,0.10634216,0.14890657,0.18516189,0.20823729,0.2189837,0.22256939,0.22406693,0.22535086,0.22591959,0.22481143,0.2216252,0.2166505,0.2099011,0.201212,0.19052768,0.17876305,0.16688365,0.15455456,0.1397555,0.12054726,0.09771213,0.074871115,0.057665452,0.051803347,0.06297104,0.0937688,0.14071082,0.19220029,0.23411053,0.25728187,0.2621831,0.25530738,0.24314912,0.22850394,0.2116483,0.19256961,0.17199014,0.15058094,0.12874591,0.10744674,0.08953813,0.07915714,0.07870067,0.086022116,0.09559977,0.10399612,0.114270926,0.13270348,0.1616332,0.19432811,0.22072564,0.23384286,0.23357075,0.22157867,0.19961466,0.17038769,0.14137134,0.12147071,0.11559081,0.12046683,0.12921466,0.13672586,0.14305365,0.15013722,0.15902947,0.16823743,0.1753835,0.17831165,0.17642184,0.17065625,0.16327798,0.15647258,0.15132602,0.147281,0.14282201,0.13640505,0.12718593,0.11514018,0.10098231,0.085962534,0.07163313,0.05931419,0.049797375,0.043155607,0.039216045,0.03784412,0.0392698,0.04330961,0.04919827,0.05582011,0.063628495,0.07418424,0.088314556,0.102820486,0.11187919,0.11060476,0.099210866,0.08219984,0.06541224,0.05258401,0.04554227,0.04570352,0.056261074,0.07963486,0.11435717,0.15197778,0.18189676,0.19694895,0.1979609,0.19044262,0.18010245,0.16958062,0.1592115,0.14884275,0.13892753,0.13072099,0.12540817,0.12326387,0.12278744,0.12133146,0.11654097,0.10786001,0.09674124,0.08540537,0.07569647,0.068265535,0.0630475,0.059495617,0.057169273,0.055724222,0.05521075,0.055885267,0.058298845,0.062670164,0.068755984,0.07488472,0.07872962,0.077802606,0.071801715,0.062583335,0.05407085,0.05004407,0.053152625,0.06374048,0.079781316,0.09749966,0.11290345,0.12345896,0.12891382,0.13094829,0.13233683,0.13558148,0.14228435,0.15247124,0.16524446,0.17946832,0.19497734,0.21216913,0.23066711,0.24776371,0.25969276,0.26443216,0.2638849,0.2618432,0.26037064,0.257532,0.24912882,0.23256092,0.20943545,0.1855595,0.16719514,0.15728158,0.15325132,0.14981128,0.1436529,0.13666148,0.13411497,0.13963799,0.15358584,0.17634733,0.2138216,0.27307245,0.35202065,0.43167806,0.48644677,0.5017568,0.48449048,0.45462802,0.43038988,0.41917136,0.41875303,0.42253068,0.42409205,0.419137,0.40629053,0.38648257,0.364041,0.34416512,0.33234322,0.32996437,0.3371267,0.35070133,0.36706528,0.3799739,0.38571572,0.38433027,0.37995124,0.37556228,0.3709753,0.3651109,0.35866556,0.35402644,0.3514966,0.3492714,0.34513834,0.33975565,0.33503363,0.33262643,0.3314559,0.3303441,0.32791305,0.3239664,0.3164452,0.3033207,0.2835092,0.25971767,0.2367624,0.21932149,0.20964937,0.20708977,0.20932937,0.21395922,0.22012623,0.22800271,0.23708564,0.2448446,0.2476571,0.24361198,0.23395693,0.22238643,0.21195745,0.20348568,0.19591266,0.18888885,0.18416245,0.18485282,0.19224036,0.20356333,0.21253125,0.21384294,0.20682113,0.19583116,0.18600585,0.17973185,0.17591989,0.17261297,0.1693381,0.17049825,0.18706106,0.23635201,0.3279129,0.44982085,0.56191725,0.6212389,0.60934573,0.54754496,0.47573206,0.42547646,0.4053392,0.4063532,0.41639975,0.42683902,0.4358276,0.4430656,0.44860807,0.45089093,0.4504033,0.4500333,0.45443797,0.46568015,0.48215675,0.499544,0.51414776,0.5245826,0.5306676,0.5334505,0.5337801,0.533221,0.53051823,0.522871,0.5074817,0.48699418,0.46766505,0.45507845,0.44870386,0.444546,0.43997857,0.43708172,0.43900406,0.4449965,0.4497938,0.4467856,0.43332407,0.41039005,0.38220814,0.35283077,0.3264546,0.30596066,0.2930384,0.28737786,0.28723645,0.29079944,0.29671326,0.3043115,0.31234038,0.3193158,0.32382178,0.32552925,0.32500792,0.32351765,0.3226026,0.3235105,0.32581154,0.3269067,0.32301787,0.31285438,0.29891694,0.2862574,0.2771713,0.2695986,0.2590371,0.24454814,0.23007162,0.22185744,0.22225843,0.22956514,0.2426009,0.2675666,0.31555545,0.38983214,0.47525135,0.54096746,0.5628231,0.5385912,0.490225,0.44361988,0.41508493,0.40596548,0.41010562,0.42019033,0.43039334,0.43821475,0.44306448,0.44658542,0.44965753,0.45321834,0.45740023,0.4624939,0.46721283,0.46984175,0.46870172,0.46451846,0.45891964,0.45400706,0.45056093,0.4492879,0.45062467,0.45459625,0.4597348,0.46322498,0.46264383,0.45743465,0.4494585,0.44147336,0.43589208,0.4342648,0.43719456,0.4433557,0.44782397,0.44374928,0.42635965,0.39794686,0.3662853,0.3404509,0.32492775,0.3192972,0.31884766,0.3176123,0.31040344,0.29613554,0.27916726,0.26645443,0.26249376,0.26478723,0.26742068,0.2657877,0.26176634,0.26013765,0.26522866,0.27661118,0.2907401,0.30346835,0.3143191,0.32822955,0.3518822,0.38782036,0.42892733,0.46315336,0.48043075,0.48023617,0.46908805,0.455389,0.44372824,0.43415856,0.4264424,0.42382964,0.43639585,0.4709781,0.52275103,0.5674139,0.58076096,0.5569449,0.5196489,0.4991587,0.50865394,0.53575927,0.5598555,0.57033986,0.5694752,0.5640456,0.5580542,0.55307883,0.54956174,0.54738766,0.5447548,0.5399732,0.53232104,0.5224828,0.51156783,0.5000962,0.4898831,0.48255584,0.4803984,0.4825238,0.48698202,0.4905925,0.4921533,0.4918135,0.4905412,0.48872104,0.4861497,0.48252845,0.4780977,0.4732244,0.4684522,0.46333,0.45592132,0.44259882,0.41992226,0.387516,0.34924877,0.31208053,0.2822361,0.2626442,0.25239062,0.24879503,0.2497894,0.25511682,0.2658606,0.28179684,0.30012485,0.31573713,0.32538497,0.3294005,0.33146346,0.33444837,0.33897865,0.3435332,0.34652933,0.3459687,0.3396691,0.32593796,0.30691433,0.28847048,0.27753773,0.27581704,0.27822483,0.2760599,0.26509878,0.24921453,0.23756038,0.23602098,0.24396785,0.25854376,0.28368142,0.32972348,0.40120327,0.48463115,0.54980564,0.57335055,0.5531179,0.51253146,0.47433463,0.45145497,0.43800697,0.42742524,0.41436186,0.4019518,0.39341223,0.39174864,0.39630368,0.4055749,0.41835928,0.434176,0.45140114,0.46636605,0.47516036,0.47691658,0.4742135,0.47104564,0.46928263,0.46888706,0.4680393,0.4650888,0.4575971,0.44498074,0.4285321,0.41264808,0.40050736,0.39265522,0.3867546,0.3812205,0.3775017,0.37834892,0.3854407,0.3957467,0.4034282,0.40196037,0.3892913,0.3683225,0.34535596,0.32545826,0.3106322,0.3001639,0.29296553,0.28867766,0.28788152,0.29078484,0.29591545,0.29982415,0.2990904,0.29291818,0.28366446,0.27461943,0.26755223,0.26217055,0.25734827,0.2525296,0.24850953,0.24734677,0.25093147,0.2582753,0.2647462,0.26396924,0.25314182,0.23473667,0.21524243,0.19991408,0.19046634,0.18480985,0.17948264,0.17387646,0.17534065,0.20180285,0.2713456,0.38339767,0.50633764,0.59269476,0.6124672,0.5741325,0.5127879,0.45958304,0.42396626,0.40070096,0.38379994,0.37319914,0.36866507,0.36781135,0.3675128,0.368508,0.37377813,0.38470134,0.3995755,0.4158781,0.43127677,0.44249508,0.44488287,0.437322,0.42549554,0.41879568,0.42210186,0.43181548,0.44086882,0.44487023,0.4442565,0.43998972,0.43204618,0.41990337,0.40517414,0.38998285,0.37608376,0.36478174,0.3594313,0.36335704,0.37515703,0.38546988,0.38245213,0.36083508,0.32650885,0.29117635,0.26395902,0.24695839,0.23789851,0.2345752,0.23717535,0.2469302,0.26317808,0.28188458,0.2971262,0.30521098,0.30742374,0.30854514,0.31222442,0.31789866,0.3225405,0.3240714,0.32240626,0.31735483,0.30784103,0.29447028,0.2819704,0.27705404,0.28205284,0.29129896,0.294664,0.28651333,0.2710085,0.25882307,0.2572892,0.26440057,0.27361837,0.28567606,0.31384513,0.37110785,0.45071647,0.5218695,0.5526367,0.5373999,0.49975336,0.4692197,0.45767903,0.4586891,0.46088877,0.4586554,0.45264146,0.44605955,0.44282737,0.44474605,0.4509902,0.45824328,0.46441826,0.4697216,0.47547042,0.4816518,0.48622513,0.48716655,0.48385978,0.47795582,0.4721183,0.4689937,0.46961775,0.47298232,0.47633818,0.47737074,0.47550634,0.47246668,0.47026947,0.4694289,0.46863404,0.4661368,0.46269932,0.4600521,0.4590821,0.45583567,0.44514966,0.424432,0.3978428,0.37245643,0.35338327,0.34050283,0.3309219,0.3218316,0.31184313,0.29993042,0.28700772,0.2758583,0.27112278,0.27367553,0.2811314,0.28820276,0.2927387,0.29439738,0.29481414,0.2942547,0.29301468,0.29188406,0.2942704,0.3062664,0.33284935,0.37376234,0.4198102,0.45929512,0.4834799,0.492952,0.492934,0.48989853,0.48689947,0.48478594,0.4834048,0.48496446,0.49471498,0.51812136,0.55106133,0.5780615,0.5788477,0.548453,0.49949893,0.4547464,0.424968,0.40818003,0.39437506,0.38000515,0.36698556,0.36112857,0.3651514,0.37813494,0.39485455,0.4093399,0.41811144,0.42169657,0.42271003,0.42293462,0.42220768,0.41986802,0.41574523,0.41153297,0.40939638,0.4114196,0.41688046,0.4224502,0.42338276,0.41727674,0.40568253,0.39331257,0.38441968,0.38049284,0.379661,0.37947035,0.37893954,0.3801613,0.38567638,0.39580476,0.4058974,0.4095292,0.402366,0.38633752,0.36679414,0.34936917,0.3362856,0.32782176,0.32321307,0.3217739,0.32231882,0.3229022,0.32151046,0.31679705,0.30978343,0.30338457,0.3011007,0.3035489,0.30806783,0.31019124,0.3078936,0.30222288,0.29627252,0.29176188,0.28873584,0.2859589,0.28242528,0.2772543,0.26996893,0.2607433,0.25089315,0.24180754,0.23362397,0.22448044,0.21248056,0.19759862,0.18237658,0.1693696,0.15929598,0.1506796,0.14200096,0.13277961,0.123459585,0.11444049,0.105793595,0.097671926,0.09037713,0.08427715,0.07939098,0.07545958,0.07208346,0.068945915,0.06584367,0.06262464,0.05923927,0.05577688,0.052477907,0.049543325,0.047046717,0.044930816,0.043138545,0.041658606,0.040483013,0.03957832,0.03886701,0.038314823,0.037877623,0.037502464,0.037032936,0.03632285,0.035243616,0.03375544,0.03183032,0.029484125,0.02680049,0.023947999,0.02117291,0.018718975,0.016753813,0.015268856,0.014090512,0.013051212,0.012086374,0.011251625,0.010535911,0.009870117,0.009151054,0.008357387,0.007498274,0.006609065,0.005730456,0.0049414826,0.004314638,0.0038844722,0.003623656,0.0034846186,0.0034232384,0.0034034129,0.0033735186,0.0032712638,0.003060543,0.0027660076,0.002462826,0.0022298517,0.0021004777,0.0020500089,0.0020124118,0.0019293692,0.0017891772,0.0016316324,0.0015087203,0.0014420793,0.0014171991,0.0014061257,0.0013923611,0.0013762466,0.0013615569,0.0013450264,0.0013128896,0.0012586238,0.0011897715,0.0011247707,0.0010759667,0.0010465606,0.0010350686]