[0.0004735139,0.0004171678,0.00031692212,0.00024024113,0.00022917043,0.0002827986,0.00037500286,0.00047845463,0.0005765502,0.00065641507,0.00070837286,0.0007217871,0.0006925743,0.0006229727,0.0005241516,0.00041743633,0.00072566414,0.002906279,0.0106008835,0.028992398,0.062964834,0.11259231,0.17181955,0.22940804,0.2753987,0.30497578,0.32042122,0.32707882,0.32990423,0.32982394,0.3244963,0.3111148,0.2925905,0.2789822,0.282012,0.30382654,0.33377615,0.35678062,0.3654997,0.36180678,0.34829938,0.32232463,0.28067613,0.22845536,0.18077314,0.15567291,0.16459604,0.20736933,0.27206787,0.3401107,0.39394262,0.42462814,0.4335254,0.4278575,0.41454482,0.39667824,0.37402114,0.34462914,0.30783746,0.2663512,0.22671185,0.19587386,0.17738216,0.1699032,0.16964519,0.17304498,0.1780961,0.18381463,0.18969207,0.19532591,0.20037223,0.20500487,0.21003664,0.21682008,0.22576891,0.23605607,0.24564402,0.2530067,0.25738242,0.25902775,0.25832716,0.2558982,0.25223896,0.24753408,0.24120325,0.23246324,0.22166812,0.21075715,0.20181291,0.19402003,0.18332703,0.16513066,0.13922352,0.11073553,0.08718004,0.0737435,0.0722982,0.08371911,0.10883667,0.14594086,0.18749134,0.2223931,0.24276268,0.24880542,0.24717791,0.24466753,0.24431176,0.24518202,0.24525653,0.24334359,0.24010836,0.23694704,0.234776,0.23311295,0.23150156,0.23054393,0.23173226,0.23562746,0.24074668,0.24470079,0.24606101,0.24617566,0.24909465,0.25958884,0.28054485,0.31040168,0.344044,0.37385464,0.39189276,0.38998637,0.36262766,0.3106448,0.24489696,0.18374272,0.1459124,0.14168249,0.16838717,0.2120287,0.25437772,0.28212082,0.2918676,0.28898343,0.28115806,0.2736155,0.26727793,0.26049778,0.25040662,0.23571067,0.21828313,0.20411725,0.19883066,0.20297365,0.20972574,0.20999824,0.19874644,0.17780317,0.15290026,0.1291648,0.10912642,0.09314462,0.08082882,0.07162721,0.06508888,0.06075267,0.0580261,0.056252573,0.054808807,0.05355166,0.05259684,0.052325696,0.052801143,0.05392507,0.055294365,0.056616098,0.057677865,0.05857438,0.059553187,0.061021555,0.0631727,0.06589026,0.068698205,0.0711974,0.07330937,0.075297095,0.077999674,0.0836376,0.09651953,0.12107087,0.1571914,0.19737232,0.22952974,0.24568059,0.24673478,0.24133272,0.23806572,0.2413789,0.25057712,0.26256302,0.2738309,0.28193885,0.28736532,0.29322228,0.30438688,0.3227649,0.34556794,0.36506173,0.3734258,0.3655142,0.34028664,0.30020028,0.25150695,0.20373608,0.16670644,0.14684898,0.1454912,0.15912779,0.18085022,0.20154537,0.21398751,0.2155269,0.20947872,0.20132442,0.19589792,0.19512586,0.19876695,0.20500435,0.21189924,0.21838708,0.22468875,0.23115398,0.23705572,0.2402578,0.23869042,0.23162283,0.22067352,0.20914996,0.20104168,0.19886793,0.20233132,0.20834589,0.21313609,0.21462125,0.21314175,0.2105062,0.20837994,0.20725393,0.20607226,0.20213509,0.19278121,0.17742848,0.160816,0.15233648,0.163327,0.19955413,0.25717652,0.32280943,0.38167742,0.42460147,0.45049477,0.46244946,0.46390668,0.45780182,0.44681337,0.43265676,0.41426763,0.38886258,0.35544017,0.3178772,0.2833236,0.25730807,0.23988988,0.22694695,0.21403734,0.1997577,0.18490969,0.17082869,0.15728642,0.14371149,0.13000785,0.11844796,0.11205555,0.11346504,0.12209014,0.13483998,0.14682944,0.15447903,0.1561994,0.15336496,0.14865583,0.14547198,0.14578892,0.15028048,0.1574256,0.16535252,0.17174512,0.17591703,0.17768061,0.17833269,0.17846878,0.17910784,0.18022597,0.18262178,0.18633367,0.19171993,0.19799012,0.20469894,0.21165563,0.2192166,0.22750455,0.23532505,0.24133767,0.244211,0.24418323,0.24168473,0.237548,0.23230852,0.22700565,0.22298802,0.22138296,0.22219086,0.22386779,0.22407179,0.22111565,0.2151547,0.20829159,0.20318352,0.20163065,0.20347524,0.20722811,0.21090712,0.2132616,0.21348493,0.21136229,0.20720035,0.2032218,0.20260638,0.20783669,0.21735953,0.22606432,0.22728635,0.21714358,0.19657259,0.1714065,0.14902185,0.13410091,0.12721884,0.12692325,0.13373126,0.14894812,0.17196183,0.19701166,0.2173065,0.22828925,0.2305547,0.22679104,0.22053187,0.21455324,0.21102993,0.2104457,0.21129537,0.21158837,0.20995589,0.20703264,0.20323162,0.19846795,0.19075431,0.1789241,0.16384564,0.1496021,0.1405996,0.13826035,0.13934392,0.13850619,0.13235667,0.1219432,0.11111981,0.103291355,0.099080406,0.09691763,0.09518585,0.09323909,0.091170035,0.08871138,0.08551706,0.08161057,0.07772791,0.07474368,0.073121816,0.07273093,0.07299484,0.07320042,0.07276494,0.0714542,0.069421016,0.0670547,0.06476647,0.06282125,0.061328813,0.060252372,0.059495863,0.05893145,0.058526814,0.058294024,0.05822103,0.05810799,0.057656705,0.056680456,0.05531848,0.053966675,0.053008657,0.052579194,0.05259719,0.052930925,0.053544357,0.05441616,0.05546638,0.05648156,0.057214428,0.057436924,0.05704959,0.056071866,0.054651458,0.05295974,0.051192146,0.050121978,0.052337926,0.06369357,0.091822624,0.14136063,0.2073729,0.27493498,0.32600722,0.35038206,0.35010365,0.33507645,0.31424275,0.29021174,0.26138124,0.22784396,0.19651203,0.17966448,0.1868661,0.21809827,0.2621692,0.30591765,0.33998564,0.36205092,0.3703477,0.36181244,0.33219662,0.2823373,0.22115813,0.16494963,0.13037719,0.12665571,0.15049817,0.18814598,0.22291364,0.24387519,0.2498899,0.24698006,0.24240284,0.24024399,0.24097449,0.24351263,0.24720041,0.25243536,0.26011965,0.2705709,0.28305426,0.29561278,0.30611673,0.3126552,0.31464335,0.31241456,0.3069657,0.29817224,0.28451857,0.26469097,0.24077116,0.21980937,0.21022637,0.2167343,0.2364258,0.26212773,0.2872255,0.30998692,0.33109534,0.3500086,0.36267844,0.36488613,0.35645577,0.34229472,0.32886243,0.31988332,0.31568384,0.31471065,0.31502545,0.31263646,0.30184865,0.27744415,0.24105029,0.20148374,0.1715026,0.1579748,0.15969378,0.1691106,0.18164547,0.19752763,0.21984251,0.24655294,0.26899317,0.27564755,0.26028043,0.22642076,0.18547928,0.15196235,0.1378843,0.15076119,0.18895926,0.24171267,0.29053846,0.32124284,0.32925966,0.32091212,0.3033459,0.28153524,0.258315,0.2379216,0.22353406,0.21424146,0.20577426,0.19441462,0.18030703,0.16549273,0.1519128,0.1397021,0.12870236,0.11876329,0.110215664,0.103292994,0.09809565,0.09437648,0.09144792,0.08854139,0.08521376,0.0818297,0.07912585,0.07769725,0.077344,0.07739544,0.07718474,0.0767062,0.07640391,0.077154666,0.08071574,0.090758145,0.11218772,0.14729492,0.19190182,0.23570533,0.26852635,0.28613448,0.2907112,0.2873173,0.28000283,0.27186882,0.26436174,0.25854263,0.25447008,0.2528009,0.2538431,0.25730646,0.26169765,0.26536372,0.2674773,0.26810348,0.26765183,0.2659671,0.2619736,0.25360686,0.23911045,0.21930055,0.19961973,0.18869402,0.19372362,0.21538103,0.24759656,0.28174484,0.312055,0.33689916,0.35622546,0.36874807,0.3719808,0.3653175,0.3512919,0.334811,0.3200343,0.30943158,0.30318466,0.29866025,0.29015473,0.2709683,0.23982139,0.20359541,0.17581123,0.1658737,0.17395514,0.19086105,0.20970018,0.2304855,0.25852647,0.29273024,0.32344785,0.33875132,0.33585104,0.32252684,0.30921265,0.30122384,0.2972914,0.2955258,0.2956228,0.29865023,0.30285403,0.30439702,0.29923764,0.28629184,0.26698652,0.2437914,0.21861184,0.19233882,0.1658119,0.1403268,0.11850373,0.103066646,0.09664044,0.1006281,0.114884436,0.13605921,0.15800193,0.17440833,0.1832071,0.18718827,0.19135888,0.19820245,0.20739423,0.21685654,0.22550154,0.23239726,0.23706652,0.23874396,0.23791604,0.23529752,0.23175453,0.22669888,0.21954902,0.21023639,0.20091105,0.19452453,0.19454336,0.20326518,0.22229616,0.25087568,0.2858547,0.32132712,0.3512107,0.37103227,0.3797116,0.37913898,0.37310424,0.3648455,0.35589156,0.3461759,0.33631954,0.3277854,0.32216966,0.3187429,0.31557903,0.31066012,0.30388916,0.2960036,0.28797802,0.28032613,0.27337337,0.26733816,0.26213512,0.25743923,0.25260758,0.24681586,0.23906918,0.22862267,0.21555996,0.20125967,0.18755822,0.17530566,0.16332114,0.14988203,0.13478275,0.120899975,0.11288271,0.11544126,0.1302167,0.15465714,0.18146902,0.20279123,0.21338433,0.21355821,0.20656341,0.19643259,0.18529089,0.1735537,0.16035557,0.14531471,0.13055876,0.12142915,0.12380407,0.13900562,0.16048397,0.17656285,0.17752428,0.16204333,0.13757354,0.114944994,0.10169774,0.09868601,0.102636606,0.110856414,0.12457556,0.14616708,0.17479932,0.2038803,0.22543027,0.2349983,0.23423356,0.22743507,0.2182495,0.20779604,0.19605426,0.18314828,0.17032701,0.15953784,0.15251465,0.14997487,0.1515971,0.15641876,0.16303419,0.16962904,0.17454737,0.17691539,0.1769677,0.17531325,0.17264658,0.16974165,0.16818945,0.16940655,0.17354244,0.17822582,0.1806622,0.17960222,0.17666297,0.17386639,0.1717443,0.16904928,0.16493385,0.1600253,0.15542752,0.15105811,0.14541362,0.13719629,0.12666452,0.11557985,0.10567955,0.09748349,0.09014597,0.08248274,0.073790036,0.06433922,0.05507824,0.047631938,0.04369159,0.0444358,0.049200654,0.055558886,0.06038939,0.0621752,0.06147349,0.06001814,0.058840413,0.058100063,0.057644192,0.057637915,0.058079395,0.058374707,0.05764267,0.055524897,0.052622084,0.049951266,0.04822214,0.04747985,0.047453064,0.047891315,0.04868387,0.049672857,0.050619796,0.051236887,0.0513421,0.05088253,0.049944695,0.048686016,0.047283504,0.04589044,0.04463477,0.043611202,0.04288024,0.042427916,0.042196933,0.0420913,0.042036954,0.04197411,0.041890938,0.041782826,0.041640695,0.041380793,0.040916085,0.040205166,0.03937061,0.03861014,0.038114253,0.037933614,0.038001228,0.038172346,0.03829554,0.03824291,0.0379391,0.0373651,0.036583994,0.035706926,0.03486528,0.034098182,0.033360403,0.032534488,0.031562645,0.030469408,0.029389104,0.02848763,0.027877785,0.027548185,0.027333742,0.027011799,0.026308775,0.024959462,0.022699663,0.019479498,0.015604779,0.011766133,0.008746836,0.0071262564,0.0071288683,0.008708748,0.011650001,0.015625961,0.020199604,0.02487271,0.029062727,0.032063972,0.03314543,0.032643627,0.03338019,0.04160099,0.06409927,0.104133196,0.15675838,0.21022224,0.24925049,0.26288736,0.24907178,0.2179072,0.18565172,0.16813491,0.17416215,0.20816447,0.26789021,0.34209263,0.40675306,0.43783513,0.42656377,0.38641155,0.34158853,0.309543,0.29430756,0.28986338,0.29023203,0.29184815,0.29167962,0.28271452,0.2571255,0.21408999,0.16495612,0.12756403,0.11425886,0.1236858,0.1432537,0.15868899,0.1643737,0.16805027,0.18809287,0.23919761,0.3174264,0.39546192,0.44098726,0.4399834,0.40523577,0.36165997,0.32598817,0.3003386,0.27913526,0.2593204,0.24356396,0.23654664,0.2399625,0.24919678,0.2557249,0.2522197,0.2378534,0.21887906,0.2034256,0.19494085,0.18955906,0.18224455,0.17625493,0.18750294,0.23316316,0.312384,0.397162,0.44804534,0.44357523,0.39313588,0.3259034,0.26528457,0.21925946,0.1843561,0.15829335,0.14485838,0.14898522,0.16920646,0.1916876,0.19942814,0.1826254,0.14885023,0.115829684,0.100587845,0.107719086,0.12968752,0.15541379,0.18194139,0.21870734,0.2767532,0.35233727,0.42140564,0.45492065,0.44214392,0.39645585,0.34295392,0.2981435,0.26584443,0.24282743,0.22914006,0.2308488,0.25521204,0.30352697,0.36501884,0.4232036,0.46366408,0.48252425,0.48075357,0.46106878,0.42451826,0.3763708,0.32641113,0.28954265,0.2819595,0.3152173,0.38621655,0.47235504,0.5409847,0.5695995,0.5579602,0.5246115,0.48937178,0.46248868,0.4414811,0.4201026,0.39443782,0.36569616,0.33491263,0.3000991,0.2583187,0.21239012,0.17291433,0.15261249,0.15632798,0.17625636,0.1959526,0.20305902,0.20024486,0.20694916,0.24437122,0.31390834,0.38953197,0.43286523,0.42439625,0.37356743,0.3105025,0.25969717,0.23244917,0.2260824,0.23345608,0.24639396,0.2587407,0.26776338,0.2720357,0.2709022,0.26259437,0.24771333,0.22926675,0.21277453,0.20174165,0.19562928,0.19135262,0.18993783,0.20148398,0.23972909,0.30611837,0.3807143,0.42993513,0.43352315,0.39539775,0.3398536,0.2867518,0.24465197,0.21003246,0.18016027,0.15629964,0.14593528,0.15607025,0.18760724,0.22997682,0.2668605,0.28483835,0.28293014,0.27004778,0.2581004,0.25219765,0.25097898,0.25263855,0.26410145,0.29780874,0.35760948,0.42654553,0.4728829,0.47495115,0.4351964,0.37639984,0.3180859,0.26727134,0.22031261,0.17731833,0.1472984,0.14508472,0.17997414,0.24629398,0.32424298,0.3894843,0.42556965,0.4276218,0.4007695,0.35551175,0.30467978,0.26134914,0.23740216,0.24430911,0.28753734,0.35871053,0.43275222,0.48063362,0.49052134,0.4726927,0.44988322,0.43613052,0.43332508,0.43396488,0.43214014,0.42514074,0.41211745,0.39072442,0.3563355,0.3075001,0.24922778,0.19497854,0.15892355,0.14897554,0.16080438,0.1816727,0.1994595,0.2135139,0.23613946,0.28219214,0.35060358,0.42064145,0.46236596,0.46149325,0.4218882,0.36213145,0.29914057,0.25097147,0.2305591,0.24275513,0.2756158,0.30766976,0.3200824,0.3054377,0.26766798,0.21636337,0.1647341,0.12516354,0.1059396,0.10616198,0.11731889,0.12939243,0.14039506,0.16010432,0.20288241,0.27002713,0.34256354,0.38971356,0.39559928,0.36605838,0.3228068,0.28047797,0.24413174,0.21078102,0.18002741,0.15491629,0.14325477,0.15213372,0.18201901,0.22186442,0.25473604,0.2684523,0.26301965,0.24791269,0.23242903,0.22016418,0.21044917,0.20788182,0.22506313,0.27532664,0.35409847,0.4350358,0.48262548,0.4821749,0.44597673,0.4039364,0.37468967,0.35927698,0.34328926,0.31499195,0.27377665,0.23429012,0.21591152,0.22947824,0.26694477,0.30770543,0.33225682,0.3360329,0.32811192,0.3232243,0.3299816,0.34946084,0.37824765,0.41507694,0.45827952,0.5007691,0.52794003,0.52825594,0.50444466,0.47401282,0.4544842,0.45168158,0.45774758,0.46333376,0.462581,0.4572848,0.44932818,0.4412606,0.43137288,0.4184532,0.40061533,0.3800489,0.3602462,0.34609196,0.3387376,0.33577058,0.33257306,0.33006725,0.33721635,0.3655716,0.41415715,0.4647046,0.4917126,0.484992,0.45486513,0.4223504,0.3993642,0.38642585,0.37839532,0.3734058,0.37189957,0.37445673,0.38030076,0.38801542,0.39525187,0.39892092,0.3965626,0.38831463,0.3762124,0.36233386,0.34709266,0.3316871,0.32174024,0.32786903,0.3594332,0.411883,0.46459737,0.48956528,0.47486138,0.43044087,0.38147935,0.3456973,0.3274844,0.32088074,0.32113862,0.32659373,0.33724627,0.35102785,0.36464322,0.37472156,0.38028172,0.38215283,0.38257876,0.3829845,0.38315168,0.38058233,0.3726243,0.36162123,0.35746202,0.37373245,0.4122324,0.45754632,0.48209652,0.4719002,0.43307114,0.38917932,0.35723343,0.34254757,0.3377289,0.33506486,0.33152035,0.33134517,0.3417211,0.3653489,0.39640513,0.4221255,0.43123552,0.42060933,0.39693162,0.37161323,0.35342887,0.3462107,0.35069916,0.37018657,0.4075624,0.4588736,0.50818604,0.5351328,0.53051394,0.502047,0.468683,0.4436308,0.42990652,0.4219005,0.4146932,0.40548918,0.39232305,0.3708825,0.3363323,0.28877476,0.23806947,0.20156056,0.19401638,0.21667974,0.25416824,0.28382286,0.29059216,0.27889314,0.269842,0.28670728,0.33291373,0.38846564,0.42105412,0.4155953,0.379245,0.33583987,0.30078912,0.2783716,0.2627791,0.24999875,0.2387167,0.23067445,0.2271437,0.22743066,0.22868162,0.22838007,0.2266683,0.22596924,0.22771132,0.22995824,0.22794183,0.21812697,0.20482582,0.20242472,0.22995998,0.29116413,0.36653075,0.41896537,0.4260893,0.3906752,0.33743432,0.28525004,0.2411382,0.20206922,0.16857542,0.14662142,0.14434703,0.16327828,0.19387245,0.21737604,0.21821773,0.19362669,0.15820523,0.13119774,0.124883495,0.13429536,0.14619277,0.15224856,0.16131353,0.19267516,0.25517818,0.33432123,0.39783287,0.42455983,0.41563702,0.39124727,0.3658987,0.34211048,0.31333557,0.27828673,0.24621783,0.23312514,0.2511337,0.2981855,0.35801348,0.40955976,0.44005933,0.4507086,0.451871,0.45217726,0.45224276,0.44568005,0.43035713,0.41355136,0.4129853,0.43855873,0.48420963,0.523947,0.5365129,0.51728433,0.48337865,0.452788,0.43264592,0.41596976,0.39212096,0.3573923,0.31868663,0.2892069,0.27692953,0.27709576,0.27602854,0.2630525,0.23969603,0.21609108,0.20109868,0.19470249,0.19003133,0.18373923,0.18401772,0.20990734,0.27122173,0.35578117,0.4281284,0.460595,0.4487805,0.4154625,0.38249075,0.3594545,0.3388519,0.31201163,0.27618024,0.24104416,0.2201552,0.22332986,0.24626498,0.27528176,0.29456365,0.2968302,0.2838861,0.26300845,0.24082701,0.22036515,0.20536031,0.20466603,0.23267758,0.2931906,0.36948392,0.4246881,0.43170416,0.3897071,0.3284797,0.28051066,0.26387152,0.27318713,0.29169586,0.30380428,0.30405518,0.29682717,0.289817,0.28781587,0.29017794,0.2922568,0.28899118,0.27874544,0.2645494,0.2519242,0.24310236,0.2384361,0.24101813,0.26228204,0.30837068,0.3685641,0.41091642,0.41076314,0.36796618,0.3123288,0.27394918,0.2675214,0.28427103,0.30828616,0.3250598,0.33037913,0.3262318,0.3188387,0.31167388,0.30593923,0.29990363,0.29321027,0.2854289,0.27619287,0.2629615,0.24562424,0.23054804,0.23268938,0.26643905,0.3319168,0.40925464,0.4682589,0.49024713,0.47825813,0.45275915,0.4333751,0.4272368,0.42827007,0.42462996,0.40977553,0.38470444,0.3568599,0.33071873,0.30483386,0.27359852,0.23522276,0.19712235,0.17198831,0.16814817,0.18075918,0.1953883,0.20264067,0.20908503,0.23497136,0.29067358,0.36347976,0.41830584,0.42854467,0.3919551,0.33299965,0.2782304,0.24205388,0.22197002,0.20891826,0.19650592,0.18669206,0.18499082,0.19336502,0.20340706,0.20445181,0.19241731,0.17769034,0.1751774,0.1936417,0.22759466,0.26358014,0.2917606,0.31371567,0.34232655,0.38460088,0.43297586,0.4619584,0.4540091,0.41065237,0.35503006,0.30797884,0.2773434,0.25744087,0.24038048,0.22241075,0.20447272,0.18996234,0.18212174,0.18148296,0.18517627,0.18777631,0.18487488,0.17487882,0.15898745,0.13912226,0.11750764,0.10086561,0.10226368,0.13870007,0.2128066,0.3058933,0.37974873,0.40828213,0.3895581,0.3471984,0.3030958,0.2672433,0.2361054,0.2043985,0.17170404,0.14305654,0.12670706,0.12651326,0.13956107,0.15589194,0.16756982,0.17258827,0.17528991,0.17904307,0.18388544,0.18755484,0.19304079,0.20967513,0.25053823,0.31575152,0.3884356,0.43736228,0.44456685,0.41357803,0.36726508,0.32342517,0.2873702,0.25480554,0.22250251,0.19259562,0.16963686,0.15841655,0.15874071,0.16569518,0.17026758,0.16777539,0.16130596,0.16185735,0.17763053,0.20625906,0.23234367,0.24266444,0.23948969,0.24636309,0.28217837,0.34316745,0.39478496,0.4066762,0.37256607,0.31934592,0.27885118,0.26955846,0.28660735,0.311852,0.32653365,0.32155836,0.29958943,0.27043036,0.24278356,0.22083466,0.20353003,0.18879993,0.1739688,0.15696277,0.13607031,0.11337844,0.0985797,0.10873958,0.16087519,0.25404212,0.36315688,0.44580376,0.47291884,0.44198072,0.37695467,0.30437636,0.24285527,0.19867222,0.17289287,0.16428575,0.17251515,0.19636779,0.23218672,0.2708441,0.30273247,0.3217171,0.3301669,0.33413026,0.34059837,0.35269067,0.370069,0.39005223,0.4106176,0.43542206,0.46583137,0.49803618,0.51507497,0.50685555,0.47467354,0.43679205,0.4064786,0.3865689,0.36907777,0.34792152,0.3245523,0.30651662,0.30233374,0.31502554,0.3401874,0.36772788,0.38816333,0.39796504,0.40027717,0.39995524,0.3988802,0.39420745,0.38558927,0.37909043,0.38959277,0.42447042,0.47523323,0.51404023,0.5190554,0.48867038,0.44463995,0.40862152,0.38830468,0.3753594,0.35816333,0.33069757,0.2960309,0.26345345,0.24262981,0.23685159,0.24075754,0.24547197,0.24611898,0.24411768,0.24308991,0.24452437,0.2479912,0.25324312,0.26020554,0.2677853,0.27356994,0.27580276,0.27412513,0.26944193,0.2626978,0.25443938,0.24467926,0.23341344,0.22070068,0.2063316,0.18915589,0.16891193,0.14869025,0.13590968,0.13735177,0.1533904,0.17568861,0.19313027,0.20011379,0.20085685,0.20431633,0.2141997,0.22378443,0.2226517,0.20899118,0.19477199,0.19592936,0.21758883,0.24792679,0.26680303,0.26171485,0.2367096,0.20991845,0.19877811,0.20836693,0.22790818,0.24117643,0.23817241,0.22091468,0.19938833,0.18281347,0.17445761,0.17126101,0.16892336,0.1653468,0.16140272,0.15802647,0.15393029,0.1461113,0.13201839,0.11213524,0.08949315,0.068600275,0.052573826,0.042534854,0.037069317,0.034078978,0.031777997,0.029678395,0.027928635,0.026744574,0.02647309,0.028512722,0.03599763,0.052226502,0.07801365,0.109583534,0.14054574,0.16533989,0.18209054,0.19102474,0.19197321,0.18311805,0.16417406,0.13995759,0.120925486,0.117783226,0.13437676,0.16488113,0.19759692,0.22280478,0.23698016,0.24282277,0.24457301,0.24496071,0.24297686,0.23539287,0.2197613,0.19844656,0.17921011,0.17039548,0.17486177,0.18764764,0.20095491,0.2092769,0.21168743,0.20868988,0.20060258,0.1869511,0.16856782,0.14797048,0.12997474,0.12042609,0.124052204,0.14119118,0.16591811,0.18849222,0.20060967,0.20075208,0.19410594,0.18816407,0.18688194,0.1886424,0.18861072,0.18367647,0.17562924,0.17032713,0.17266802,0.18286069,0.1960634,0.20730336,0.21429127,0.21916287,0.22497696,0.23446018,0.24721222,0.26144528,0.2744794,0.28484154,0.29123643,0.2921556,0.2856957,0.27111903,0.24960516,0.22394657,0.19716676,0.17177244,0.14941926,0.13093479,0.11649113,0.10576641,0.09852761,0.09421996,0.0919835,0.0901865,0.087378465,0.08275301,0.07672894,0.07038012,0.06479808,0.060541123,0.057578597,0.0555591,0.05407847,0.052873194,0.051909093,0.051274914,0.05109236,0.0513345,0.05186999,0.052446693,0.05279398,0.052630033,0.05182169,0.050687183,0.0514729,0.059606146,0.08361589,0.12892127,0.19073558,0.25036487,0.28468585,0.28125274,0.24845935,0.20997673,0.18578143,0.17913522,0.17679699,0.16701342,0.15120348,0.14457826,0.16161948,0.20407133,0.25955567,0.31003818,0.34466255,0.36269984,0.37107214,0.37532783,0.37798414,0.37804458,0.37341428,0.36011562,0.33473745,0.2979506,0.25734472,0.22400911,0.20547175,0.20112075,0.20308782,0.20209064,0.19146574,0.1701151,0.1415381,0.11341032,0.09459776,0.093404345,0.11413547,0.1553029,0.20837379,0.26055387,0.2995949,0.31822765,0.31515524,0.2935883,0.2595589,0.22052811,0.18305051,0.15110984,0.12634803,0.11078439,0.107035,0.11590854,0.1333155,0.15201138,0.16595495,0.17371637,0.17706889,0.17771327,0.17524408,0.16838318,0.15853943,0.15219736,0.15990363,0.18929686,0.23834614,0.29363546,0.33853516,0.36330375,0.3694457,0.36466244,0.3548224,0.341162,0.3226469,0.3003504,0.27754638,0.25794443,0.24220747,0.22721128,0.20720644,0.17845802,0.14277047,0.107774936,0.082750715,0.0749513,0.08779804,0.12068906,0.16769636,0.21822119,0.26050875,0.28747138,0.298913,0.2997471,0.29522267,0.28826678,0.2789972,0.26671243,0.25157547,0.23518138,0.21987848,0.20733243,0.1982012,0.19199736,0.18794481,0.1850701,0.18256588,0.17957254,0.17535663,0.16952227,0.16265647,0.15659885,0.15374409,0.1556697,0.16217823,0.17176032,0.18250598,0.19249123,0.19988762,0.204022,0.20698269,0.21333204,0.22695786,0.24772383,0.2712686,0.2922305,0.30743003,0.31680563,0.3220246,0.3248079,0.32546687,0.32261384,0.31396475,0.29836175,0.2772015,0.25401622,0.23264556,0.21557814,0.2039556,0.19780643,0.19603837,0.19585091,0.1934398,0.18571018,0.17181651,0.15360145,0.13462503,0.119792424,0.11430055,0.122807145,0.14614673,0.17987718,0.21453376,0.2411306,0.25509745,0.25822905,0.25487468,0.24923003,0.24313544,0.23734586,0.23110127,0.2224205,0.20834029,0.18828285,0.1664512,0.1505741,0.14680673,0.15542471,0.1716095,0.18923412,0.203987,0.2138613,0.21846293,0.21938348,0.22021417,0.22583437,0.23911817,0.25883785,0.279379,0.29481724,0.30186877,0.30152142,0.29660487,0.29055035,0.2857437,0.28348538,0.28278664,0.2810342,0.27501234,0.2630448,0.24536176,0.22415344,0.20250766,0.18392627,0.17077987,0.16349737,0.15993802,0.15685366,0.15173002,0.14462928,0.13824725,0.1361404,0.14028479,0.1493637,0.15945615,0.1661647,0.16714288,0.16312122,0.15726495,0.1530555,0.15238267,0.154422,0.15681022,0.15723048,0.15566123,0.15373018,0.15369977,0.15562183,0.15824252,0.15969865,0.16043776,0.16139829,0.16315381,0.16389509,0.1622128,0.15880364,0.15696095,0.15930946,0.16502695,0.17039685,0.17195791,0.16972053,0.16660453,0.16628352,0.17052849,0.17895764,0.18938702,0.19914193,0.20607616,0.2093829,0.2097012,0.20839511,0.20734425,0.20785093,0.20983224,0.21066272,0.20706515,0.1978461,0.18612559,0.17736585,0.17578739,0.18142845,0.19088133,0.19989586,0.20615546,0.20961112,0.21135694,0.21181792,0.21056272,0.20685811,0.2009802,0.19433425,0.18939348,0.18851775,0.19337769,0.20361145,0.21685751,0.22884704,0.23569517,0.23557645,0.2307951,0.22770752,0.23612678,0.26473367,0.31466472,0.37360993,0.419201,0.43084314,0.40289116,0.34877887,0.29329234,0.26062545,0.26206487,0.292704,0.33364233,0.36525056,0.37648657,0.37039903,0.35655606,0.3441721,0.33634362,0.3314946,0.3253379,0.31390336,0.2954806,0.27327386,0.25542906,0.25303555,0.27260503,0.31154832,0.35686252,0.39422497,0.41517928,0.42067167,0.4149948,0.4006606,0.37792504,0.34930047,0.32154396,0.3018081,0.2912322,0.28512925,0.27998856,0.28182185,0.30444714,0.35533133,0.424276,0.48369527,0.51037425,0.49982738,0.46882465,0.43698987,0.4145114,0.39996788,0.3876747,0.37469757,0.3611534,0.34938467,0.3408905,0.33871296,0.34843445,0.37729883,0.422825,0.46968922,0.49353445,0.48419568,0.44865787,0.40947366,0.3805695,0.36720166,0.36333647,0.36500946,0.36835065,0.37252995,0.37649062,0.38300106,0.3982191,0.43025827,0.4761579,0.5199487,0.5364916,0.51636416,0.46935633,0.4203695,0.38485923,0.36554062,0.35478124,0.34678897,0.33920816,0.33232725,0.32666144,0.32488653,0.33302265,0.36032227,0.40820873,0.4647495,0.50445837,0.50933486,0.47964552,0.43471256,0.3941145,0.367435,0.35350502,0.34692577,0.34321037,0.33891782,0.33335248,0.3287298,0.33197466,0.3517312,0.39062724,0.438512,0.47432032,0.48139843,0.45929483,0.42371824,0.39182982,0.37089178,0.3570039,0.34274447,0.3238865,0.30097115,0.2769032,0.25632024,0.24714993,0.26291695,0.31431893,0.3960793,0.47952208,0.52700764,0.51798886,0.4625937,0.39339176,0.3413732,0.3211465,0.32731342,0.34303212,0.3510063,0.34208456,0.3197259,0.29767093,0.29485592,0.32622823,0.38873455,0.45908272,0.50197273,0.5000455,0.4608132,0.41235757,0.37403432,0.35174337,0.33928993,0.3325067,0.3295463,0.32981923,0.33222902,0.33778536,0.35101107,0.37845054,0.41898394,0.46163145,0.48555568,0.47902977,0.44332448,0.3956463,0.3523173,0.3253127,0.31730926,0.32569322,0.3422766,0.35797748,0.36720178,0.3717432,0.37900913,0.39770937,0.43057242,0.4697207,0.49876615,0.5038411,0.4847993,0.45399308,0.42634782,0.40777138,0.3969957,0.38945568,0.383701,0.3778986,0.36959937,0.3561046,0.34211063,0.34162322,0.36924943,0.4241809,0.48394957,0.5191567,0.5162731,0.48605764,0.4513258,0.42746103,0.41653082,0.41202292,0.4077841,0.4001986,0.38841048,0.3744533,0.36474606,0.36938307,0.39652488,0.44213346,0.48746583,0.5063533,0.48579177,0.43271694,0.37078658,0.32150355,0.2969016,0.29645297,0.31268662,0.33455256,0.3524009,0.36163247,0.3653486,0.3725083,0.3936958,0.42911127,0.46613505,0.48271775,0.46872684,0.4308478,0.3895606,0.3595506,0.34551176,0.3429581,0.34630236,0.3504305,0.35176173,0.34837982,0.3429655,0.34421384,0.3657875,0.41342786,0.4760052,0.5241285,0.53296083,0.49866703,0.44225338,0.38942733,0.35448065,0.33660188,0.3281034,0.32286814,0.3174357,0.31069803,0.3041779,0.30502585,0.32479593,0.37053144,0.43496203,0.4961916,0.53178334,0.5336514,0.5099589,0.47603026,0.4442136,0.4223467,0.4123927,0.4097906,0.40486237,0.38957933,0.36540237,0.34352648,0.33994386,0.36477956,0.4134666,0.4666349,0.50044566,0.50464773,0.48531,0.45825768,0.43228582,0.40879023,0.3852198,0.36326876,0.34607193,0.33507815,0.32906485,0.32937238,0.34346858,0.38005945,0.43647012,0.49373278,0.52568346,0.52077836,0.48728934,0.4454004,0.406913,0.37437823,0.34509638,0.32091263,0.30407086,0.29539117,0.29189968,0.2936553,0.30526653,0.33621037,0.3878676,0.4499886,0.49994293,0.52287436,0.5176119,0.4979036,0.4748452,0.45255628,0.42872182,0.40376377,0.38163444,0.36706778,0.359755,0.35641316,0.35556695,0.36433664,0.39087144,0.434593,0.47834077,0.50144196,0.4939982,0.46453476,0.42951784,0.40202293,0.38662127,0.3824141,0.38661313,0.39578727,0.40597594,0.41447565,0.42253855,0.43623254,0.46124408,0.49427542,0.5212864,0.52575964,0.50387126,0.46627092,0.43055186,0.40605474,0.39300546,0.38599896,0.38247225,0.38207534,0.38537082,0.3914666,0.40119958,0.41871238,0.44940782,0.48949966,0.5244637,0.53510886,0.51688826,0.480159,0.44397104,0.41770664,0.40235996,0.39301977,0.3869441,0.3820447,0.37723836,0.37238598,0.37109366,0.38035178,0.4078218,0.45116457,0.49608293,0.5194438,0.5105848,0.47597012,0.4377279,0.41125754,0.40085456,0.39875713,0.39822128,0.39506814,0.38939393,0.38160253,0.3749586,0.37622678,0.39545092,0.43495345,0.4825963,0.51326054,0.5083299,0.46880195,0.41402435,0.36596337,0.33629537,0.3268268,0.33202,0.34487453,0.35681796,0.36240605,0.3618189,0.3632771,0.38079062,0.4222543,0.47917035,0.52335554,0.52682644,0.48160043,0.40790936,0.33781567,0.2959642,0.28878844,0.30770716,0.3365014,0.3607193,0.37235323,0.373368,0.3723625,0.38209644,0.41123626,0.45579067,0.49653944,0.50846994,0.4818518,0.42775968,0.37199154,0.33347476,0.31846437,0.32015824,0.32844424,0.3333396,0.32910606,0.3157885,0.30184183,0.30151364,0.3286539,0.38295934,0.4470609,0.49175993,0.4996586,0.4731283,0.43348578,0.39981815,0.38106796,0.37417808,0.3735321,0.37535203,0.37816238,0.38166556,0.38735095,0.40065658,0.42918858,0.47294518,0.51945716,0.54699546,0.54359263,0.5141837,0.47784558,0.4496763,0.43434772,0.42666855,0.4199675,0.40881976,0.39012465,0.36364797,0.33526096,0.31742075,0.32502666,0.36329272,0.42115602,0.47337165,0.498656,0.4917449,0.46518812,0.43504393,0.40988454,0.38835576,0.36551926,0.33975026,0.31396648,0.293444,0.2829573,0.28760323,0.31349894,0.3627572,0.42488047,0.47585678,0.49112067,0.46432993,0.41048634,0.35544315,0.31754383,0.30342597,0.30887714,0.32578638,0.34475622,0.358099,0.36261365,0.3614812,0.36524644,0.38509098,0.42047963,0.45456195,0.46255744,0.43587908,0.3853618,0.3346965,0.29691815,0.27479133,0.26250258,0.25659654,0.25390828,0.25239432,0.2502054,0.24988358,0.25966036,0.2913977,0.34696198,0.41090903,0.45239624,0.45003447,0.40545273,0.3434604,0.28968433,0.25688627,0.24305934,0.23958783,0.23939024,0.23786432,0.23443417,0.23204415,0.23966455,0.26963228,0.3254526,0.39271533,0.43984127,0.4429356,0.40200484,0.34273258,0.29423782,0.27250996,0.27621707,0.29358947,0.3120196,0.3230392,0.32587412,0.32635114,0.33486855,0.36259487,0.41344073,0.47733656,0.529827,0.54696536,0.52142113,0.46640423,0.40456784,0.3535607,0.3226997,0.31265935,0.3183768,0.3295658,0.33735454,0.3400466,0.34537277,0.36540404,0.40738294,0.46382093,0.51346225,0.53140897,0.509194,0.45692813,0.3970215,0.34499738,0.30750299,0.28309608,0.26982495,0.26444188,0.26290813,0.26217797,0.2653323,0.28261682,0.3247287,0.38841054,0.4530395,0.48983547,0.48594669,0.44986808,0.40489873,0.3676783,0.34383222,0.32904038,0.31813905,0.30658078,0.2926047,0.27695262,0.2661622,0.27087975,0.30360255,0.36306527,0.43112338,0.47433448,0.4732851,0.43108606,0.37415573,0.3251221,0.29493296,0.28040037,0.27543625,0.27386475,0.27169326,0.26692975,0.262359,0.26614106,0.29105964,0.34276882,0.41095844,0.46669325,0.4827541,0.45233044,0.39475563,0.3391089,0.30484688,0.29579893,0.30321875,0.31567016,0.32330677,0.3225144,0.3165189,0.31476912,0.329057,0.36464998,0.41284183,0.45210108,0.46196416,0.43900704,0.3977786,0.35949704,0.33582315,0.3263947,0.323096,0.3194203,0.31321454,0.30550432,0.29783657,0.29377005,0.30255803,0.3358239,0.3937918,0.4571581,0.49455094,0.48907185,0.44744694,0.3952727,0.35209873,0.3274803,0.3197181,0.32653344,0.34282425,0.3633729,0.3829147,0.40147194,0.42396978,0.45728862,0.49870726,0.53316283,0.5369304,0.4989536,0.427821,0.34984136,0.2883323,0.2550158,0.24727857,0.255657,0.2688106,0.2782375,0.28132692,0.28264984,0.29273093,0.32338277,0.3766284,0.43916622,0.4845159,0.49308315,0.4632419,0.41309062,0.36439335,0.332588,0.32242617,0.33091128,0.3507428,0.37302926,0.39115593,0.40333894,0.41516653,0.43681026,0.4747274,0.52131194,0.5556194,0.5561159,0.5184771,0.45564392,0.3897179,0.33524632,0.30041063,0.28526327,0.28837475,0.3024339,0.3181472,0.32684514,0.32964012,0.33966112,0.37384033,0.43445358,0.50017047,0.53680366,0.5253168,0.47341678,0.4092467,0.3568906,0.3280642,0.32089472,0.32962632,0.34547725,0.36023653,0.36712992,0.36868644,0.37462127,0.39835164,0.43885636,0.4813969,0.5010722,0.488856,0.4523923,0.41312048,0.3838618,0.36649755,0.35446355,0.34245858,0.32973406,0.31702396,0.30647376,0.3006723,0.30657125,0.33325624,0.38154352,0.43762675,0.47258708,0.467173,0.42148235,0.36010042,0.30720735,0.27781272,0.27041376,0.27825737,0.2920103,0.30539557,0.31380972,0.3191655,0.32799026,0.35211763,0.3942282,0.44379902,0.47490263,0.4700642,0.43084207,0.37973353,0.33821508,0.31566355,0.3085362,0.3094576,0.31223917,0.31270072,0.3090372,0.30420068,0.30656794,0.32950774,0.38006583,0.44937244,0.50870293,0.5281002,0.49771202,0.43475378,0.36845765,0.3183973,0.28909722,0.27455258,0.2688751,0.26758397,0.26815185,0.26963744,0.27637014,0.29871318,0.34592798,0.41167256,0.4710412,0.49310708,0.46832654,0.4121196,0.35497805,0.31649545,0.30314156,0.30923423,0.32683706,0.3458495,0.35759398,0.35714468,0.347406,0.3396574,0.3504654,0.3882021,0.44449666,0.49275306,0.5093809,0.48628554,0.43663442,0.37956116,0.33220926,0.30354235,0.2953571,0.30214575,0.3140977,0.3230922,0.3288376,0.33924547,0.36633587,0.4124981,0.46571246,0.5002075,0.49805668,0.45888174,0.40125015,0.34468666,0.30155274,0.27580252,0.26770565,0.27421203,0.2877148,0.29968038,0.30685568,0.31613764,0.34072116,0.38772532,0.44759858,0.49517727,0.5069435,0.4773885,0.4212344,0.3609197,0.31228122,0.28167066,0.26810458,0.2678104,0.27370846,0.27782357,0.27612904,0.27475497,0.28884813,0.33092985,0.39626348,0.46077308,0.49532095,0.48748377,0.44642696,0.39399064,0.34678638,0.31251416,0.29075122,0.27906272,0.27322006,0.26963988,0.2674832,0.2723235,0.29504657,0.34492722,0.4161276,0.4848051,0.51956844,0.50659454,0.45647183,0.39619592,0.34618068,0.31421348,0.29707965,0.28972912,0.2870661,0.28571427,0.28410006,0.2855626,0.29769692,0.33089328,0.38563168,0.4480594,0.49002075,0.49226606,0.45441675,0.39773312,0.34459594,0.30962822,0.29494178,0.29708883,0.30881408,0.32249033,0.3316987,0.33665153,0.34490836,0.369486,0.41552427,0.47287646,0.51522595,0.51960903,0.48020232,0.41314003,0.34258926,0.28839567,0.2599047,0.25651357,0.2711853,0.2927005,0.3110353,0.32159185,0.32923698,0.34652066,0.383571,0.43672988,0.48451075,0.5021132,0.47856864,0.4243947,0.36093357,0.3065295,0.2700927,0.2523239,0.2495176,0.25515875,0.2628243,0.2693523,0.27899376,0.3022935,0.34834337,0.4111234,0.4683155,0.49274573,0.47619614,0.43108726,0.3819898,0.34411308,0.3232305,0.31703117,0.3231164,0.3374895,0.35528436,0.37192944,0.38597795,0.40131426,0.42495692,0.4583297,0.49222112,0.50801784,0.49515125,0.45772907,0.41444167,0.38040864,0.36064067,0.3492633,0.33942595,0.32766366,0.3140378,0.29983845,0.28897083,0.29026604,0.31621528,0.36874542,0.4322914,0.47613057,0.4813076,0.4507222,0.40783882,0.37184873,0.35153547,0.34429982,0.3469962,0.3537084,0.35857776,0.35539484,0.34654388,0.3417556,0.35648903,0.396516,0.45136452,0.494323,0.5036864,0.4781383,0.4374914,0.40351796,0.38441822,0.375402,0.36868277,0.36168513,0.35487542,0.349057,0.34406754,0.34319976,0.35376334,0.38256928,0.4257065,0.46691164,0.4857749,0.47349524,0.43594635,0.38910627,0.34617758,0.31555116,0.29854664,0.29358378,0.29591534,0.300941,0.30605853,0.31327417,0.33000782,0.36400273,0.4139776,0.4645718,0.49281475,0.48613843,0.44897154,0.39910147,0.35084268,0.31114796,0.27993253,0.25700143,0.24181712,0.23303151,0.22830944,0.22897206,0.24231248,0.27992466,0.3422574,0.41239357,0.45836952,0.46037555,0.42176616,0.36721244,0.31877205,0.28541526,0.26377264,0.24839479,0.23647921,0.2275185,0.22070022,0.21765995,0.22435407,0.25305274,0.30734125,0.37526044,0.42590928,0.4369414,0.406358,0.3569725,0.31071386,0.27888215,0.25971285,0.24986815,0.24704455,0.24883646,0.25148106,0.2536088,0.2606164,0.28505346,0.3355277,0.4053088,0.46768236,0.4931604,0.4697716,0.4124252,0.35042885,0.30848435,0.29720315,0.31307006,0.34430328,0.37519732,0.3922349,0.39036617,0.37646902,0.36798438,0.3825675,0.4239714,0.47602546,0.5110368,0.51299256,0.48495913,0.44628176,0.4116844,0.38812736,0.372882,0.36273614,0.35352054,0.34124377,0.32164225,0.29235217,0.2567655,0.2238204,0.20388758,0.2006079,0.20769821,0.21393351,0.21155743,0.20451204,0.20674206,0.23726493,0.30091283,0.3815783,0.44192624,0.45436144,0.41508022,0.3487604,0.28211054,0.23245393,0.2027154,0.19070548,0.19157507,0.19948511,0.207891,0.21169026,0.20861113,0.20039125,0.19235767,0.19075169,0.19827968,0.21152546,0.2238629,0.23269719,0.24455054,0.2730448,0.3248335,0.38826582,0.43359646,0.43426454,0.38678434,0.31159282,0.23692459,0.18031223,0.14928271,0.1430152,0.15776531,0.18304448,0.20687723,0.2221619,0.23381816,0.2565756,0.30212155,0.36439264,0.41754356,0.43194458,0.3984637,0.3318102,0.2598927,0.20217872,0.16907221,0.16123813,0.17611551,0.20346801,0.23148935,0.25045034,0.25928733,0.2615515,0.26200163,0.26184705,0.259196,0.24953486,0.22862466,0.19634354,0.1626131,0.14725703,0.17240953,0.24088752,0.32966685,0.39569214,0.4119018,0.3785988,0.3235426,0.27101567,0.23389743,0.21096879,0.19930945,0.19544785,0.19624732,0.19819488,0.19908772,0.19851933,0.19702987,0.19494279,0.19234312,0.18899941,0.18472601,0.17925018,0.17579436,0.183411,0.21733816,0.2851354,0.37627792,0.45961237,0.50653917,0.5092284,0.48429343,0.4537059,0.42888555,0.40977323,0.39230636,0.37511453,0.35816547,0.3413701,0.32613286,0.31796503,0.32817152,0.36380503,0.41889545,0.4702929,0.49489895,0.48579314,0.45716,0.42871785,0.4110702,0.4034513,0.40017176,0.3968145,0.38903996,0.37305665,0.3451445,0.30576757,0.2598609,0.21850769,0.19284827,0.18861109,0.1995215,0.21193735,0.21409382,0.2079075,0.20964976,0.23932262,0.299848,0.3702003,0.41460553,0.41300058,0.3701749,0.31210482,0.25962606,0.22308753,0.20101935,0.1907029,0.1883629,0.19062108,0.19403113,0.1966139,0.1978945,0.19807899,0.19702525,0.19420533,0.18931063,0.18273596,0.17553367,0.1720282,0.18123166,0.21646534,0.27922952,0.35261932,0.40074384,0.39995006,0.34995756,0.27711314,0.20742448,0.15852953,0.13493232,0.13522816,0.15161243,0.17302926,0.18971801,0.20067793,0.21516185,0.248746,0.30799556,0.37973058,0.4321343,0.43728924,0.391775,0.31686127,0.24209641,0.18670945,0.15945376,0.15921372,0.18016107,0.21050203,0.23904717,0.2590238,0.27034974,0.2763212,0.28017116,0.28343272,0.2859777,0.28742382,0.28699625,0.28437242,0.2816362,0.28686967,0.31154862,0.35782543,0.41066507,0.4416529,0.4333342,0.38679114,0.32186773,0.25676593,0.20793562,0.18356043,0.1874296,0.21104772,0.24078335,0.26337138,0.27480805,0.27733168,0.27544984,0.2701354,0.2588184,0.23691344,0.20330255,0.16263331,0.1284808,0.119414896,0.15473829,0.23738444,0.34817135,0.447222,0.50328535,0.50821126,0.4806929,0.4425921,0.40803036,0.37969527,0.35744354,0.34048247,0.32798874,0.31820214,0.31193784,0.31397286,0.33402944,0.37597433,0.43233934,0.48114774,0.50389475,0.49551663,0.46871963,0.43897268,0.41655067,0.4035715,0.39893934,0.39983654,0.40214086,0.40066633,0.39245033,0.38103518,0.37853417,0.39747465,0.43676487,0.47520462,0.4853584,0.45656285,0.4027696,0.34957072,0.31387413,0.29899916,0.29926035,0.30837122,0.32001188,0.3290523,0.33200857,0.33179235,0.33833846,0.3651285,0.41441932,0.4716271,0.5085946,0.5076739,0.46896878,0.41175637,0.35498032,0.31420714,0.29435837,0.29442227,0.30508366,0.31662095,0.32300016,0.3279473,0.34123936,0.3742254,0.42546353,0.47861305,0.50491995,0.48916653,0.43620396,0.37205982,0.3184774,0.2876568,0.27784526,0.2846835,0.30099964,0.32051924,0.33712122,0.3498329,0.36307177,0.38724443,0.42615846,0.47120675,0.49764296,0.4870331,0.43836,0.37373865,0.31744036,0.2852774,0.27817413,0.2897736,0.31034073,0.33179906,0.3487861,0.36143985,0.37499693,0.3996943,0.44161022,0.49387828,0.5340683,0.5399324,0.507768,0.45524418,0.4058499,0.37058488,0.34712064,0.3280522,0.31019345,0.29379284,0.28037146,0.27205494,0.27409038,0.29597184,0.34474263,0.41442966,0.4812211,0.51557875,0.50384796,0.4574121,0.40284884,0.36020246,0.33530757,0.3233277,0.31932366,0.31973454,0.32076988,0.3180779,0.31283998,0.31585148,0.3421326,0.39320078,0.4504814,0.4836385,0.4787964,0.44433805,0.40456757,0.3756461,0.36426076,0.36847356,0.38606974,0.4111075,0.43513083,0.44864586,0.4483736,0.43968844,0.43598047,0.44510153,0.46192038,0.4669776,0.44708717,0.40515342,0.35998282,0.32782304,0.31430352,0.31549823,0.32511035,0.3375744,0.3480899,0.35271382,0.35118,0.3485153,0.35677937,0.38466895,0.4289337,0.46827373,0.48007667,0.4557123,0.4081078,0.35891262,0.3253174,0.3145,0.324661,0.34875587,0.37594712,0.39741576,0.41038272,0.4208714,0.4385817,0.46787763,0.50111246,0.5214429,0.51574033,0.48508704,0.443413,0.40685543,0.3828782,0.37205634,0.37151197,0.380546,0.3962512,0.41358307,0.4265389,0.43542227,0.4469799,0.46871814,0.49730292,0.51941204,0.5182798,0.49090144,0.44535157,0.39852202,0.3601794,0.33716503,0.33009923,0.3403436,0.3643252,0.39634717,0.42715618,0.45089427,0.4675832,0.48497328,0.5070832,0.527733,0.5291679,0.5015184,0.45021883,0.39622116,0.3559059,0.33566532,0.33031628,0.33288637,0.33656836,0.33778235,0.33593774,0.33568442,0.3454473,0.375254,0.42512742,0.48140216,0.5176037,0.5168484,0.4811481,0.43239847,0.3911536,0.3666278,0.35504988,0.34893766,0.34273434,0.33307123,0.31858993,0.30109394,0.28974465,0.29897484,0.3370329,0.39273715,0.43714008,0.4435741,0.40909436,0.35328534,0.30167684,0.26645073,0.24719036,0.23668087,0.23004727,0.22487725,0.2208155,0.21952724,0.22629537,0.25163043,0.30364728,0.37767413,0.4505539,0.49330172,0.49161664,0.45494962,0.40731302,0.3674948,0.34146428,0.3239937,0.30886534,0.2927911,0.27687803,0.26430085,0.26054525,0.27360737,0.31138638,0.37168673,0.43821624,0.48565087,0.49952284,0.4826012,0.45175496,0.42096713,0.39689192,0.3793471,0.36710492,0.35877717,0.35194233,0.34341064,0.33367208,0.33060434,0.348693,0.39256144,0.44903776,0.48782197,0.4893513,0.45542946,0.40898025,0.36984742,0.34559107,0.3311127,0.3187754,0.30450153,0.28836274,0.27346575,0.26464787,0.26968467,0.2990969,0.35541543,0.4252349,0.4774743,0.48769268,0.4535277,0.3986474,0.34904075,0.3183052,0.3040801,0.29856852,0.29581496,0.2925385,0.2875928,0.28223658,0.28365773,0.30432662,0.35269538,0.42104316,0.48193946,0.5054173,0.48023185,0.42227212,0.36095652,0.31978357,0.307951,0.32208392,0.35310647,0.3889047,0.4185114,0.43549165,0.4423289,0.44927296,0.46772286,0.49765518,0.52370363,0.52216804,0.48262787,0.415038,0.34642708,0.298926,0.28270218,0.2913231,0.31248283,0.33184615,0.34209105,0.34312955,0.34369898,0.3551804,0.38685557,0.43447503,0.48064533,0.50062156,0.48407796,0.4382703,0.38510787,0.34134233,0.3160963,0.30806217,0.31252423,0.3209622,0.32618153,0.32390216,0.31764576,0.3173162,0.33654928,0.37842384,0.43057132,0.4675243,0.4738113,0.45246482,0.42228293,0.39811286,0.38377836,0.37481263,0.36658922,0.35773218,0.34801912,0.3372805,0.3266897,0.32243288,0.33616814,0.3750321,0.43065014,0.47722563,0.49034443,0.46543905,0.42037192,0.37780035,0.35000578,0.33763888,0.33678034,0.34280097,0.34932676,0.3498393,0.34232315,0.33386627,0.3385974,0.36718163,0.41558573,0.46278462,0.48573574,0.47636172,0.44643462,0.41527033,0.3946999,0.38553962,0.38204002,0.3794534,0.3750956,0.36840954,0.35910478,0.35042998,0.35037825,0.3708303,0.4138565,0.46605146,0.49975166,0.49701524,0.4582443,0.4038082,0.3528798,0.31754157,0.29814443,0.29156303,0.2909901,0.29030192,0.28467903,0.27732217,0.2781137,0.30115333,0.3479384,0.4045894,0.44382,0.45124507,0.43018386,0.40069208,0.37661925,0.36283922,0.35529414,0.35074565,0.34664324,0.34144315,0.3337636,0.32573414,0.32430112,0.3409382,0.38038042,0.43384266,0.47709432,0.4901929,0.4693049,0.43035623,0.39122012,0.36242425,0.3442106,0.33376384,0.32692254,0.31935927,0.3075044,0.29348806,0.2871671,0.3031709,0.34785756,0.40911853,0.45773515,0.468484,0.4383893,0.3870963,0.3382422,0.3043138,0.28720787,0.2849461,0.29477596,0.31046143,0.32342118,0.3287903,0.33045554,0.34091437,0.37182388,0.42197037,0.47329918,0.50036544,0.49159947,0.45456874,0.41037902,0.37363645,0.35011733,0.337207,0.33214632,0.33087555,0.32924235,0.32406756,0.31771532,0.32002464,0.3441145,0.39339864,0.4527781,0.49253568,0.49060032,0.44744822,0.38624355,0.33352697,0.30593833,0.30543193,0.3248205,0.3522338,0.37580755,0.38751066,0.38739946,0.38362896,0.38920796,0.41117346,0.4446148,0.4713136,0.47534934,0.4529746,0.4171153,0.3834463,0.3616228,0.3510486,0.34717023,0.3458223,0.3447353,0.3428286,0.34065345,0.34375033,0.3627088,0.40532246,0.46437654,0.5157948,0.5335457,0.51003927,0.45985708,0.40749958,0.36910355,0.34886077,0.34231833,0.3443502,0.35077885,0.35858774,0.36606988,0.37386918,0.38766184,0.4130436,0.44885126,0.48083147,0.49089047,0.4706284,0.42847624,0.38196364,0.34503865,0.3241841,0.31878316,0.32519153,0.33584365,0.34353754,0.34403336,0.34168246,0.3468987,0.37102577,0.4129561,0.4576644,0.4819006,0.47480235,0.44120193,0.39878884,0.36092544,0.33467707,0.31955898,0.31355277,0.31254217,0.3122621,0.3089689,0.30411866,0.3060672,0.32911566,0.37871578,0.4428955,0.49104866,0.499787,0.46629193,0.4125986,0.3623067,0.3311062,0.3213168,0.33012447,0.35012677,0.37237647,0.38858294,0.3971616,0.40358016,0.4182221,0.44354996,0.47078636,0.4799684,0.46012214,0.41569257,0.36579606,0.32619587,0.3023353,0.29069063,0.28584126,0.28370324,0.28105533,0.2757017,0.2695173,0.27026296,0.29086438,0.3373866,0.39988777,0.4512497,0.4659251,0.43751845,0.38284692,0.3281938,0.2925913,0.28159282,0.28907096,0.30471784,0.31925395,0.3284278,0.3332337,0.34011677,0.35862783,0.3963301,0.4476095,0.4925609,0.50575435,0.47916964,0.4253036,0.37029445,0.33065963,0.31129602,0.30593494,0.30851603,0.3125893,0.31452549,0.3132858,0.31454754,0.32826152,0.36368683,0.41600046,0.46598697,0.48698077,0.469484,0.42373505,0.3749887,0.3398737,0.3248063,0.32484522,0.33448663,0.34599805,0.35459265,0.3573656,0.358277,0.3639184,0.38279867,0.41413006,0.4480711,0.46580303,0.45832446,0.4289211,0.39372864,0.36428204,0.34611,0.33702275,0.3340117,0.33226004,0.32791987,0.31937525,0.3107442,0.3104946,0.32959604,0.3722014,0.43058422,0.4827141,0.50654703,0.49256814,0.45065024,0.4007533,0.36086702,0.34003052,0.33707765,0.3446114,0.35192612,0.3503954,0.33757675,0.321184,0.31818637,0.34417686,0.3989754,0.46055174,0.49920836,0.49995542,0.47077474,0.43231973,0.3990486,0.3753048,0.35840288,0.34673426,0.33865857,0.33269012,0.32703766,0.3247651,0.33371916,0.36275163,0.40741727,0.44919673,0.462226,0.43883538,0.39101097,0.3456281,0.3197689,0.32026193,0.34225228,0.37947825,0.42149016,0.45792937,0.4804006,0.48952222,0.49341926,0.50431985,0.5258177,0.55005425,0.55784935,0.53692645,0.48852813,0.43046498,0.38107896,0.3514668,0.3407836,0.34267473,0.34973624,0.3570316,0.36214873,0.36683664,0.37664255,0.40082404,0.4418478,0.49076208,0.52475715,0.5258753,0.4910954,0.4377729,0.38744855,0.35605943,0.34752116,0.35825947,0.38007557,0.40293095,0.4169846,0.41687676,0.40667796,0.40149322,0.4172672,0.45646778,0.5000623,0.52221733,0.51000106,0.4730866,0.43135068,0.39935753,0.3804325,0.3711667,0.36759186,0.3659002,0.36271736,0.3554294,0.3470912,0.34753242,0.36853448,0.41042784,0.45716503,0.48469615,0.4814453,0.45466426,0.42315698,0.39940855,0.38550675,0.37613082,0.36694047,0.3560548,0.3440092,0.33288276,0.327785,0.3364648,0.36586186,0.41245174,0.4605662,0.48808256,0.48512635,0.45803174,0.42503536,0.39930335,0.3857139,0.38140535,0.38190484,0.3813586,0.37394372,0.35525087,0.32485142,0.28689423,0.24910122,0.21933742,0.20159428,0.1934885,0.18844247,0.18103683,0.17103158,0.16228797,0.15800817,0.15764724,0.15799578,0.15672189,0.15428174,0.15281932,0.15395927,0.1574859,0.16211773,0.16658008,0.1702882,0.17281121,0.17371832,0.17288196,0.17100447,0.16913617,0.16740473,0.16473383,0.15994327,0.1535982,0.14754689,0.14265871,0.13737084,0.12945272,0.11991113,0.11314287,0.11360621,0.12118837,0.13192436,0.14151269,0.1481539,0.15193109,0.15344803,0.15415545,0.15622331,0.16091679,0.1662314,0.16774218,0.16184042,0.14913146,0.13460769,0.12528503,0.1260253,0.13683997,0.15240152,0.16509865,0.16840775,0.16055101,0.14524375,0.1307161,0.12442129,0.12879469,0.13942434,0.14921325,0.15272401,0.14905174,0.14077058,0.13200806,0.12595138,0.12334447,0.12237942,0.120639004,0.117358625,0.11411119,0.112653255,0.11264509,0.11093759,0.10448238,0.09251519,0.077371515,0.06175225,0.047608588,0.035685275,0.0268465,0.021607196,0.01972615,0.019985007,0.021006698,0.02197326,0.022602774,0.022944083,0.022999605,0.022748835,0.022071572,0.020907648,0.019256772,0.017445667,0.016488954,0.01856494,0.02643244,0.04168774,0.062857606,0.08543405,0.104359694,0.11681237,0.12329664,0.12618543,0.12792347,0.12981445,0.13195068,0.13304032,0.1305416,0.1215553,0.10522151,0.084472604,0.066295646,0.05870983,0.06755289,0.09293542,0.12912804,0.16671146,0.19748771,0.21798997,0.2293549,0.23497349,0.23743016,0.23848335,0.23858549,0.2377067,0.23472095,0.22890048,0.22047634,0.21142499,0.20390153,0.19922209,0.1969459,0.19598563,0.19554518,0.19576001,0.1970402,0.19904041,0.20051922,0.1998417,0.19613467,0.18985744,0.18257435,0.17680132,0.17441893,0.17666556,0.18236275,0.1894684,0.19495313,0.19754829,0.19730896,0.19573152,0.1937583,0.19139285,0.18809056,0.18392676,0.18049943,0.18017204,0.18468224,0.1934288,0.20376642,0.21227671,0.21691352,0.21734513,0.21519828,0.2121364,0.20998943,0.2087823,0.20885696,0.20952481,0.21170257,0.21480204,0.21844895,0.22032124,0.21978934,0.21691579,0.2134404,0.20982136,0.20531704,0.19833201,0.1888022,0.17918344,0.1732672,0.17347972,0.17875724,0.18559985,0.19058488,0.19252668,0.19219941,0.19097674,0.1899001,0.18939276,0.18953264,0.18978626,0.189288,0.18725346,0.1837008,0.17937629,0.175088,0.17114897,0.16757374,0.1645029,0.1623131,0.16103238,0.16021228,0.15907222,0.1572182,0.15473753,0.15215273,0.1499166,0.14821623,0.14681949,0.14527643,0.1431473,0.14026816,0.13684167,0.13335799,0.13033928,0.12802666,0.12622537,0.12448308,0.1224744,0.12026594,0.11835492,0.11783254,0.12069487,0.12964857,0.1463433,0.16937374,0.19375147,0.21389425,0.22639261,0.23102938,0.2281117,0.21815181,0.2030335,0.18825208,0.17953855,0.17805322,0.17819703,0.17270428,0.15923096,0.14274067,0.1316254,0.13242461,0.14608938,0.16848649,0.19229,0.21164991,0.2243976,0.23263747,0.23927861,0.24578875,0.2514422,0.25502455,0.25583822,0.25426838,0.2511557,0.24746434,0.24295157,0.235775,0.22316349,0.20416589,0.1815192,0.16059087,0.14574428,0.13762504,0.13377304,0.13136269,0.12908049,0.12703206,0.12562346,0.12472657,0.12344119,0.120342724,0.1144892,0.10635988,0.09809103,0.092428386,0.09170558,0.09758124,0.11061705,0.12975788,0.15125042,0.17038643,0.18328764,0.18925482,0.18922633,0.18441792,0.17468858,0.15993227,0.14139287,0.12233367,0.10645836,0.09570355,0.08926476,0.0845806,0.07956273,0.07403981,0.06975701,0.06901891,0.07301264,0.08083633,0.08977264,0.096953936,0.10094751,0.10247026,0.10320581,0.104461424,0.10614266,0.10755878,0.10826185,0.10878187,0.10970027,0.1108078,0.11066411,0.108175345,0.10423892,0.10239166,0.10645529,0.11771969,0.13352436,0.14921932,0.16104563,0.16788764,0.1707679,0.1711195,0.1694095,0.16460873,0.15534054,0.14148086,0.12534274,0.11046385,0.09941677,0.092084445,0.08629996,0.079630435,0.071081795,0.061445247,0.052720323,0.047096703,0.046484035,0.052090585,0.064096734,0.08088132,0.09932125,0.11590964,0.128443,0.13635899,0.14017361,0.14051189,0.13811363,0.13395838,0.12934053,0.1251589,0.12156966,0.11808615,0.11429655,0.110314965,0.10666596,0.103845336,0.10198316,0.10088385,0.100255094,0.09984836,0.099594384,0.099533945,0.099848956,0.10066795,0.10200787,0.103699245,0.10550668,0.10733205,0.109300256,0.11154091,0.11384644,0.1153602,0.115368836,0.113881975,0.11270034,0.11396859,0.11925127,0.12753437,0.1367703,0.14503317,0.15271066,0.16123176,0.17163302,0.18268351,0.1918099,0.19677007,0.19745082,0.1955473,0.19326639,0.19180016,0.19102429,0.19016194,0.1884802,0.18585174,0.18228467,0.17801166,0.17300878,0.16750962,0.161806,0.15641259,0.15168136,0.14761578,0.14409171,0.14090072,0.13801323,0.1351593,0.13224004,0.12940337,0.12740134,0.12674476,0.12747526,0.12881052,0.13005795,0.13067205,0.13092445,0.1313998,0.13312437,0.1363727,0.14054407,0.14363247,0.14356309,0.13891925,0.13036002,0.12013393,0.11149909,0.10709179,0.108527474,0.11584005,0.12766142,0.14119577,0.15349631,0.16282688,0.16942383,0.17454487,0.17896853,0.18236415,0.18382035,0.18279207,0.17953534,0.17490862,0.17013186,0.1662646,0.16407064,0.16344553,0.16372861,0.16379319,0.16285662,0.1605581,0.15718298,0.15340197,0.1499118,0.1468523,0.14330678,0.13787271,0.12976377,0.11987773,0.11034205,0.103323914,0.10017236,0.10145172,0.10703135,0.115541816,0.124196135,0.12978138,0.13033418,0.12625755,0.12012658,0.11595488,0.11749705,0.12632592,0.14027888,0.15428376,0.16332413,0.16527651,0.16167289,0.15576042,0.15036331,0.14672363,0.14486617,0.14439343,0.14517762,0.1480421,0.15478437,0.16694623,0.18391216,0.20204104,0.21654011,0.22420232,0.22508489,0.22143592,0.21597739,0.21043159,0.20579557,0.20222454,0.19987077,0.19838072,0.19770849,0.197291,0.1967168,0.19534148,0.193247,0.19087355,0.18885104,0.1873725,0.18615353,0.18483257,0.1831942,0.1815952,0.18055074,0.18048126,0.18108499,0.18166018,0.18158735,0.18080969,0.17950821,0.177626,0.1748789,0.1713447,0.16776554,0.16501941,0.16338718,0.1623394,0.16112666,0.15929368,0.15706998,0.1552612,0.15482827,0.1559758,0.15769349,0.1583816,0.15712881,0.15437688,0.15124154,0.14860381,0.14658295,0.1451102,0.14414652,0.14400078,0.14466493,0.14582914,0.14668024,0.14678915,0.14634341,0.14632972,0.14750229,0.14970724,0.15156268,0.15147288,0.14886616,0.1448872,0.14159739,0.14028382,0.14034496,0.13990492,0.1375454,0.13365412,0.1300742,0.12903337,0.13211845,0.14042898,0.1550826,0.17797393,0.2109797,0.25402987,0.30239773,0.34684095,0.37681767,0.38572738,0.3753437,0.35587183,0.34237525,0.3450968,0.36365414,0.38496217,0.39303422,0.37738135,0.34081888,0.29675454,0.26385698,0.25653633,0.27826884,0.3192753,0.36103356,0.38549766,0.38350773,0.3580877,0.32148686,0.28850102,0.2698616,0.26782408,0.27590278,0.28313586,0.28134036,0.27125216,0.2625532,0.26733932,0.29096442,0.32785663,0.36435378,0.38637224,0.38478848,0.35853004,0.31389427,0.26369587,0.22125979,0.19458103,0.18206938,0.17699605,0.17469847,0.17724448,0.19081241,0.21942823,0.2610222,0.30766174,0.3499371,0.38049522,0.39698422,0.4008274,0.39646414,0.38860333,0.3816187,0.3775599,0.37577078,0.37250033,0.362165,0.34119126,0.31244612,0.28784177,0.28130478,0.29950365,0.33522964,0.37439623,0.40489802,0.42326942,0.43129787,0.43151698,0.4232824,0.403412,0.37030935,0.32778445,0.2853208,0.2520241,0.23203391,0.22429742,0.2269367,0.23841403,0.2551085,0.26880205,0.26954904,0.2520376,0.22063363,0.18826415,0.16990702,0.17414802,0.1983354,0.22989596,0.25328317,0.25788847,0.24215947,0.21261452,0.17850561,0.14739692,0.121969886,0.10180453,0.08489293,0.070528105,0.058447,0.048839305,0.041110184,0.034786224,0.02948677,0.025249153,0.022046084,0.022639573,0.03550693,0.07699429,0.15900451,0.27587268,0.39551902,0.47962645,0.5067888,0.48673275,0.44504097,0.40324783,0.36974326,0.34501633,0.32941213,0.321062,0.31445333,0.3002704,0.27382234,0.2361079,0.19337337,0.1507512,0.11286103,0.08292023,0.063600205,0.05455969,0.053108647,0.05514889,0.057461917,0.0578372,0.055638496,0.051021513,0.045112893,0.03888224,0.03321733,0.02831087,0.024391519,0.021607503,0.020415924]