[9.853912E-05,0.00015572296,0.00034189547,0.0007415431,0.0014266236,0.002411083,0.0036211156,0.0049364264,0.006229151,0.0074304477,0.008503827,0.009465066,0.010341328,0.011183594,0.011955357,0.012489453,0.012495953,0.01186391,0.010964859,0.010944985,0.013677279,0.021684794,0.037521914,0.062270682,0.09318655,0.12269171,0.14091474,0.14151359,0.12580156,0.102026284,0.079336874,0.06409914,0.05897915,0.06604496,0.085342,0.11385878,0.14402713,0.16869242,0.18437861,0.19306551,0.19840284,0.20340824,0.20897375,0.21531846,0.22216137,0.22947633,0.23695898,0.24476366,0.25293842,0.2618555,0.27174845,0.2832937,0.2972784,0.3142016,0.33400115,0.3552734,0.3757889,0.3919393,0.40151003,0.4046917,0.40567204,0.40930167,0.4187292,0.43335333,0.45057228,0.46709242,0.4802742,0.48791516,0.48928043,0.48461792,0.47383508,0.4535543,0.4173931,0.36232808,0.29563466,0.23787339,0.21056242,0.22343637,0.26419315,0.30931044,0.33708015,0.34060466,0.3247396,0.29978842,0.27443978,0.25457054,0.2431928,0.23969506,0.23940086,0.235934,0.22628538,0.21311808,0.20198311,0.1958416,0.19453575,0.19711983,0.20448683,0.2158078,0.22743803,0.2330278,0.22908415,0.21516956,0.19491793,0.17318518,0.1568895,0.151716,0.1609572,0.18319839,0.21319152,0.24204986,0.25803307,0.2510493,0.21835263,0.16924427,0.11995586,0.08578166,0.07442378,0.0884824,0.12830377,0.19145699,0.26729003,0.33716998,0.38288334,0.39735892,0.38718197,0.3650479,0.34102723,0.31915927,0.30084786,0.2868851,0.27780965,0.27062798,0.26101708,0.24567978,0.227482,0.2125033,0.20644073,0.20939338,0.21827734,0.22990714,0.24359961,0.25876704,0.2736186,0.2858229,0.2948867,0.30200496,0.30754378,0.3094567,0.30559048,0.29800928,0.29427862,0.30176166,0.32118598,0.34453356,0.3611631,0.36326644,0.3487027,0.31999055,0.2841017,0.2510112,0.22968166,0.22318946,0.22671042,0.23073547,0.22612137,0.20841676,0.17853771,0.14223576,0.10790471,0.08620898,0.08735169,0.1179856,0.1739273,0.23847659,0.28632,0.29792365,0.26902547,0.21339391,0.15151338,0.10152236,0.07263363,0.06934086,0.09150443,0.13473,0.18575631,0.2279972,0.24824989,0.24532513,0.22692154,0.2037968,0.18339819,0.17031018,0.16789319,0.17711163,0.1932214,0.20474291,0.19993444,0.17479569,0.13645796,0.09766514,0.069056354,0.05601357,0.06098436,0.0855087,0.12651096,0.17239378,0.20469008,0.20996915,0.18817492,0.15305518,0.11986607,0.097465284,0.08588231,0.08319022,0.08827206,0.101048775,0.11852304,0.13543807,0.14657669,0.1505741,0.14950353,0.14707157,0.1464979,0.15034753,0.16070968,0.17699026,0.19431068,0.20311485,0.19587767,0.17174512,0.13917989,0.1087746,0.08881421,0.08256799,0.09291836,0.12104144,0.16295776,0.2041866,0.2266081,0.21957533,0.18876542,0.15039836,0.119583435,0.102133274,0.09641349,0.09969003,0.11095297,0.12924246,0.15047568,0.16855824,0.17873715,0.1807824,0.17777306,0.17356265,0.17073624,0.1715493,0.17820829,0.1911627,0.205567,0.21147196,0.19973981,0.1697145,0.13111149,0.097230576,0.077034526,0.07267436,0.084102,0.111042,0.14999145,0.18952699,0.21483012,0.2186852,0.20923609,0.20440447,0.21758614,0.24806194,0.28328136,0.31069008,0.32538128,0.3300242,0.32766142,0.3198205,0.30818835,0.29820195,0.2948909,0.2988413,0.30482122,0.30800393,0.30825338,0.30912817,0.31254795,0.3146042,0.30858147,0.2894071,0.25876996,0.2228034,0.18909939,0.16259678,0.14614837,0.14102148,0.14618887,0.15670986,0.1645865,0.16403283,0.1547402,0.14078069,0.12583078,0.11311415,0.10898625,0.12390647,0.16553426,0.22908233,0.29679942,0.34741333,0.36971018,0.36652133,0.35007033,0.33204663,0.31900963,0.31205878,0.31018254,0.31111288,0.3122399,0.30996838,0.30222717,0.2888366,0.2731769,0.25915644,0.2502418,0.24692126,0.2485547,0.2543677,0.26401183,0.27641836,0.2880927,0.29531193,0.29468688,0.28520346,0.26568723,0.23759164,0.206228,0.18392174,0.18251121,0.20684294,0.24824691,0.2922119,0.3258303,0.34547004,0.35319856,0.35274115,0.34546342,0.33170804,0.31364357,0.2954793,0.2814121,0.2704399,0.2577138,0.23750757,0.210369,0.18155581,0.158625,0.14538884,0.1438243,0.15392363,0.17527997,0.20233138,0.2262373,0.23753183,0.23403795,0.22055109,0.20581609,0.19599123,0.19356231,0.19910602,0.21333116,0.23625557,0.26484632,0.2933281,0.31627747,0.331733,0.34127733,0.3469235,0.34958997,0.3494264,0.34911457,0.3533622,0.3666197,0.38813245,0.41259447,0.43332538,0.44666633,0.45089808,0.4435488,0.4222611,0.39073956,0.3622854,0.35306916,0.36898395,0.3993307,0.42415154,0.42828548,0.40856895,0.37000975,0.32006097,0.2672059,0.2246354,0.20722252,0.22361915,0.26774582,0.3222737,0.36905846,0.39915702,0.4126604,0.41279018,0.4007436,0.37758324,0.34821844,0.3219714,0.30634797,0.30135122,0.30075368,0.29849172,0.2940959,0.2902845,0.28965735,0.29183525,0.2956777,0.30002907,0.30310085,0.30102754,0.28847393,0.2634147,0.22962217,0.19581628,0.16947871,0.1539975,0.15004319,0.15840556,0.17957991,0.20952398,0.23983979,0.26078328,0.26754275,0.26040065,0.24352787,0.22171615,0.20057254,0.18628913,0.18426298,0.19605929,0.21697237,0.23865657,0.25405893,0.26195344,0.26478207,0.2640289,0.2579152,0.24476333,0.22753333,0.21272671,0.20477845,0.20141959,0.19621837,0.18522567,0.16911747,0.15086983,0.13064872,0.10923114,0.09067184,0.084644504,0.0971146,0.12485073,0.15358914,0.1692559,0.16592824,0.14901894,0.12792169,0.11053725,0.10100594,0.10245987,0.11655869,0.14219348,0.17336114,0.20312287,0.22721183,0.24663877,0.2644881,0.28264233,0.29991,0.3127252,0.3171065,0.31047723,0.2938322,0.27094752,0.24629082,0.2206593,0.19295569,0.16270097,0.13560492,0.11965112,0.12245997,0.14505537,0.18439107,0.23254187,0.28086987,0.32000744,0.34430718,0.3516161,0.3445334,0.3280605,0.30857754,0.2906268,0.2751713,0.25971803,0.24110562,0.21850616,0.19472302,0.17539643,0.16700698,0.17276542,0.19069171,0.21298595,0.2318099,0.24203737,0.24375843,0.23818563,0.22780631,0.21632506,0.2106302,0.216712,0.23450696,0.2564062,0.27334473,0.28282562,0.28898582,0.2953981,0.2978587,0.28857958,0.26598194,0.2399918,0.2241414,0.22351073,0.23145504,0.23731583,0.23682696,0.2333926,0.23304127,0.23781453,0.24491572,0.24855484,0.24409914,0.22970696,0.20822029,0.1858126,0.1717152,0.17340223,0.19343954,0.22600548,0.2615934,0.29219803,0.3159903,0.33380803,0.34548593,0.3476461,0.33896446,0.32389042,0.3129754,0.3143783,0.32773462,0.3440722,0.35390648,0.35337916,0.34391916,0.32830927,0.30816746,0.28553292,0.26371035,0.24627341,0.23443389,0.22656791,0.22057359,0.21626443,0.21542723,0.21878617,0.22392468,0.22624725,0.22227524,0.21200639,0.1982069,0.1845807,0.17429984,0.16969939,0.1716492,0.17866941,0.18720077,0.19389997,0.19857188,0.20517145,0.21852566,0.23972113,0.2630117,0.2796261,0.28442085,0.280473,0.27598822,0.27677214,0.28231278,0.2873845,0.28762737,0.2813754,0.26878336,0.2496422,0.22385728,0.19331379,0.16249926,0.13686614,0.11963869,0.11084789,0.10783119,0.10779515,0.10801581,0.10720133,0.10505712,0.10399883,0.106978446,0.1157052,0.12821151,0.14277983,0.1623482,0.19697763,0.2533238,0.32670692,0.3959466,0.44066918,0.45024142,0.4335285,0.40454826,0.37833607,0.36043957,0.35221076,0.349014,0.34620073,0.33837295,0.3228264,0.2992457,0.27067012,0.24159427,0.21572717,0.19539805,0.18221183,0.17820887,0.183483,0.19442934,0.20331204,0.20333321,0.19208574,0.1732863,0.15251982,0.13539968,0.1264719,0.13203488,0.15672068,0.19997568,0.25086904,0.29465875,0.31944326,0.323812,0.31303582,0.29472956,0.2741618,0.2546182,0.23902863,0.2292339,0.22486578,0.2211179,0.21223533,0.19489701,0.17136937,0.14666583,0.12531872,0.10980194,0.101932764,0.10406085,0.11650268,0.1352898,0.15170252,0.15823363,0.15255028,0.13881095,0.12255732,0.10798157,0.09737935,0.09416974,0.102271914,0.12344259,0.15300679,0.18189126,0.20126595,0.20852399,0.20632012,0.19945417,0.19135128,0.18484037,0.18316437,0.18839435,0.19856016,0.20653069,0.2049697,0.19116883,0.16927226,0.14586239,0.1260678,0.11216262,0.1060532,0.110209376,0.12528808,0.1470237,0.16638643,0.17530358,0.17127913,0.15852046,0.14285813,0.12972619,0.12364582,0.13175605,0.15865417,0.20260839,0.25010893,0.2864177,0.30230296,0.3011234,0.29002386,0.27540588,0.25968522,0.24527097,0.23612107,0.23433949,0.2378905,0.2387561,0.23025905,0.20999146,0.18301584,0.15589853,0.13522895,0.12598349,0.13428654,0.16488881,0.21755297,0.28325963,0.347968,0.39929032,0.43250725,0.4495207,0.45522252,0.45478776,0.45407173,0.45940876,0.47420874,0.4956471,0.5153334,0.5252483,0.52262634,0.50995475,0.49111584,0.46839997,0.4429402,0.41592565,0.38959607,0.366197,0.3475038,0.33382332,0.32428023,0.3158559,0.3037652,0.28281263,0.25190222,0.21711922,0.19047171,0.18353294,0.19930808,0.22929323,0.2563837,0.2655599,0.25142515,0.2201906,0.1821989,0.1476809,0.12663172,0.13229348,0.17530805,0.25561905,0.35576144,0.45095217,0.5204246,0.55934834,0.5735071,0.57311434,0.5625496,0.5415234,0.5073701,0.46158385,0.4098499,0.3598119,0.31645286,0.28106368,0.2526981,0.22933543,0.20904857,0.19028169,0.17495595,0.16807805,0.17609692,0.2006921,0.23704441,0.2748715,0.30544046,0.32534817,0.3374059,0.34582853,0.35339108,0.3603469,0.36665198,0.37251088,0.378467,0.3841623,0.38884225,0.3917154,0.39284518,0.3925971,0.39114094,0.38748923,0.37922463,0.3625356,0.3351709,0.30000773,0.26708296,0.24787025,0.24743576,0.25996366,0.2742295,0.28158888,0.2810172,0.27674034,0.27381074,0.27292565,0.26954237,0.25597933,0.22874677,0.19272949,0.1604213,0.14413376,0.15121704,0.1830424,0.23696809,0.30423865,0.36891958,0.41207704,0.4230529,0.4072257,0.38290718,0.3678858,0.3674166,0.37268022,0.36968493,0.34914267,0.31062952,0.26164708,0.21572411,0.19058777,0.20074888,0.24858452,0.31723788,0.3788338,0.4074519,0.39402834,0.3462669,0.2840965,0.22838308,0.19643898,0.19526847,0.22137202,0.26001385,0.29577544,0.3212521,0.34302402,0.37149933,0.40847945,0.44191113,0.45617473,0.44601598,0.41956484,0.38990244,0.36396053,0.34133014,0.31892696,0.2959648,0.27290952,0.24956153,0.22459896,0.19846916,0.17378902,0.15416682,0.14057988,0.13212903,0.12838195,0.13323416,0.15259042,0.18861145,0.23415531,0.27564695,0.30194023,0.3114979,0.31120244,0.30926132,0.31017652,0.31471,0.3223923,0.3323764,0.34285244,0.35086668,0.35331964,0.34832,0.3371884,0.32485375,0.3183203,0.32105422,0.3300383,0.3365965,0.3323121,0.3130039,0.2806304,0.24249323,0.21003813,0.19389318,0.1987962,0.21969436,0.24652374,0.270154,0.28763866,0.29972228,0.30792308,0.31157807,0.30816805,0.29322517,0.26394862,0.22213846,0.17803346,0.14580666,0.13932003,0.16355103,0.21313326,0.27142823,0.31977966,0.34549412,0.34806743,0.33427677,0.31174555,0.28525463,0.25880867,0.2375431,0.2255606,0.2227401,0.22423427,0.22425449,0.22026451,0.21304715,0.2053528,0.19922483,0.19693398,0.20004918,0.20876609,0.22011733,0.22895183,0.23216458,0.23128796,0.2321341,0.23865934,0.25072226,0.26435184,0.27748457,0.2890636,0.29923287,0.30512506,0.3059293,0.30217707,0.29877624,0.2986686,0.30271474,0.30706468,0.3075048,0.3011745,0.2889208,0.27308112,0.25522122,0.23481737,0.2111162,0.1848544,0.15864332,0.13507842,0.116900586,0.10776732,0.114252865,0.14192124,0.19023359,0.2482218,0.30024543,0.33546314,0.3536843,0.3613851,0.36324134,0.36066055,0.35568786,0.35668108,0.37151036,0.4002705,0.42950487,0.44418588,0.4362547,0.41058955,0.37554824,0.3388256,0.30452576,0.2766217,0.25765094,0.24772547,0.24390577,0.24292238,0.24297716,0.24353479,0.24308033,0.23869543,0.22781444,0.21111612,0.19322966,0.17964035,0.17307323,0.17055798,0.16664685,0.15644549,0.13978787,0.11947036,0.10102522,0.09053541,0.09558672,0.12100796,0.16646023,0.22226925,0.27507588,0.31247815,0.33043,0.3309804,0.32050756,0.30485293,0.28941658,0.2778967,0.27257386,0.27169502,0.27010056,0.26083922,0.24193901,0.21835585,0.20013769,0.1937202,0.1982552,0.20718221,0.21525545,0.2207704,0.2238086,0.22233589,0.21349429,0.19648008,0.1748562,0.1537626,0.13754682,0.12965418,0.13634247,0.16641943,0.22404535,0.2990363,0.36685875,0.4022741,0.39524484,0.3542502,0.29668888,0.23672092,0.18243724,0.13733877,0.10373462,0.08199487,0.07112555,0.068472706,0.07090836,0.07497603,0.077642985,0.0765358,0.07098302,0.063737996,0.0626886,0.07918898,0.12107251,0.18525691,0.25664043,0.3172621,0.356681,0.3756622,0.38007462,0.37396964,0.35887468,0.33852986,0.32263905,0.32215714,0.34150591,0.3733786,0.4045577,0.42390394,0.42787883,0.41738188,0.3945532,0.36076298,0.31836578,0.2710815,0.22423619,0.18312241,0.15169674,0.1305229,0.116936,0.10694119,0.09904248,0.09662908,0.10578095,0.1291009,0.1597488,0.18448998,0.19457848,0.19581543,0.20526887,0.23602764,0.28528127,0.3362088,0.37212798,0.38498473,0.37566555,0.3471773,0.30487594,0.25698382,0.21569492,0.19045877,0.1836062,0.1890028,0.1980319,0.20613676,0.21489047,0.22853631,0.24830566,0.27188888,0.29615343,0.32004216,0.34339634,0.36452052,0.3799213,0.3860689,0.38158095,0.36706302,0.34451973,0.3165307,0.2867947,0.2595021,0.2383495,0.22484119,0.2187112,0.2208697,0.23502369,0.26743385,0.31753048,0.3754189,0.42128405,0.44230238,0.43712977,0.41847312,0.3975358,0.38080946,0.3673617,0.35720125,0.35089543,0.35044014,0.35461882,0.3610972,0.36681485,0.37150884,0.37598386,0.3813796,0.38748837,0.39339754,0.39775273,0.39847684,0.3929415,0.37913874,0.35822093,0.33576587,0.32074592,0.3210933,0.33881554,0.3675427,0.39638653,0.41641292,0.42559075,0.42624044,0.4209492,0.4096801,0.3929213,0.37282965,0.3534806,0.33714667,0.32452562,0.3148224,0.3084729,0.30624542,0.30850896,0.31374478,0.31954715,0.32458782,0.32869634,0.33195317,0.33315924,0.33120444,0.3263593,0.32011148,0.31376907,0.30723968,0.30046567,0.29381227,0.28839087,0.28458276,0.2823897,0.2823304,0.28677002,0.29975533,0.32422653,0.35922232,0.3980187,0.43188286,0.4540985,0.46409938,0.4654174,0.46261695,0.45689306,0.44542244,0.423445,0.3884356,0.34309486,0.29411092,0.24914159,0.21345234,0.18984628,0.17837436,0.17725582,0.1830072,0.19258015,0.20370108,0.21447287,0.22167431,0.22223775,0.21593283,0.20784248,0.20520306,0.21332127,0.23167334,0.25682655,0.2838252,0.30862233,0.32604507,0.33309296,0.33014998,0.32247564,0.3151714,0.31029466,0.3063197,0.30152643,0.29529342,0.28659925,0.2721416,0.2477371,0.21227698,0.17037673,0.13024388,0.09917671,0.08019784,0.07357401,0.07974869,0.100256585,0.13393925,0.17383182,0.20845293,0.22851431,0.23149712,0.22188608,0.20646407,0.19287191,0.18973972,0.20845605,0.25570205,0.32526743,0.3934226,0.43316475,0.43137917,0.39775157,0.35339844,0.3149251,0.2879596,0.27122772,0.2638751,0.26458344,0.26983216,0.27193293,0.26477897,0.24698098,0.22330855,0.19924952,0.17828518,0.16162376,0.15198247,0.15456341,0.17262602,0.2019187,0.22929247,0.24138387,0.23298885,0.21025671,0.18331671,0.16092461,0.14862649,0.15287995,0.17741257,0.2197916,0.26652345,0.30329713,0.32182965,0.32603502,0.32324305,0.31923562,0.3152559,0.3120024,0.31139943,0.31459585,0.3194621,0.3196274,0.3093264,0.28710404,0.2573193,0.22604741,0.19900405,0.18211041,0.18390559,0.21145014,0.26316026,0.32422483,0.3746136,0.40101254,0.40468144,0.39684033,0.38968718,0.38975132,0.3967975,0.4069462,0.41597643,0.42242298,0.4269637,0.43037188,0.43115667,0.42604664,0.4124346,0.39066753,0.3645301,0.33870265,0.3160726,0.29532322,0.2724587,0.24356419,0.21046425,0.18323295,0.17805548,0.20628405,0.26385632,0.32950196,0.37753356,0.39311948,0.37835136,0.34482884,0.30375704,0.26231804,0.22537512,0.19686568,0.17812659,0.1687737,0.17043304,0.1891339,0.22998405,0.2886919,0.34936103,0.39372185,0.41219735,0.4085985,0.39323333,0.37541828,0.3578507,0.33942983,0.31857607,0.2977711,0.28195778,0.2757922,0.27937952,0.28930348,0.30120376,0.31346634,0.32660878,0.34130037,0.35602292,0.36808443,0.37528494,0.3775655,0.37611723,0.3729109,0.3694614,0.3671398,0.3666022,0.36912143,0.37682083,0.3925759,0.415899,0.44034684,0.45427322,0.44875717,0.4240602,0.3896124,0.35697746,0.33258477,0.317548,0.30948412,0.3064928,0.3059218,0.30566916,0.30347022,0.29903355,0.29293442,0.28599408,0.2776046,0.2666913,0.2534387,0.24133223,0.23520745,0.23683535,0.24075049,0.23732959,0.22032689,0.19258504,0.16293947,0.13902201,0.123732515,0.118466884,0.12705779,0.15402086,0.19880044,0.25263473,0.30302453,0.3408002,0.36437115,0.3772825,0.38422227,0.3875079,0.38660514,0.37862667,0.3606194,0.3321874,0.29668045,0.25972965,0.22614636,0.19867133,0.1784138,0.16601016,0.16129567,0.16402495,0.17406942,0.1918446,0.21491629,0.23789132,0.2541196,0.26193988,0.26519758,0.26996982,0.27819693,0.28702977,0.29298374,0.2965332,0.30164754,0.31111228,0.32370833,0.33546686,0.3431765,0.34587502,0.34397113,0.33807036,0.32856834,0.3160049,0.3006016,0.28167376,0.2579861,0.22958827,0.19983293,0.17455411,0.15934443,0.15648763,0.1654951,0.18490978,0.214164,0.25154856,0.29248762,0.3289175,0.3540716,0.36612245,0.36967453,0.37100694,0.37421975,0.37923416,0.38389722,0.38554296,0.38262248,0.3754281,0.366863,0.36030522,0.35691002,0.3537998,0.347003,0.33508942,0.32087907,0.30870497,0.30056143,0.29446322,0.28606856,0.2718695,0.25224513,0.23165274,0.21701409,0.21284848,0.21945031,0.23380367,0.25254875,0.27192447,0.28485224,0.28300014,0.26211807,0.22776592,0.19163914,0.16445918,0.15296632,0.16243835,0.19986284,0.26460862,0.34230563,0.4041275,0.4286193,0.41342604,0.37800953,0.34303164,0.32032344,0.3090541,0.3055111,0.30606246,0.3087958,0.3107383,0.3083146,0.29764286,0.2756382,0.24162912,0.19837676,0.15344702,0.116505146,0.09652992,0.09630161,0.11096704,0.12892777,0.13856684,0.13434468,0.11899165,0.09998112,0.08433816,0.07739973,0.084222406,0.10938408,0.15319203,0.2069494,0.25639203,0.28863427,0.30043957,0.29645443,0.28482294,0.27133,0.25926706,0.24983376,0.2431817,0.23745717,0.22936477,0.21504688,0.19298907,0.16459894,0.13410954,0.10574498,0.083419286,0.07099742,0.07435522,0.098297596,0.14240591,0.19681413,0.24722898,0.28208598,0.29892576,0.30191985,0.2975054,0.29031387,0.28280208,0.27530155,0.26678395,0.25627968,0.24460174,0.23473562,0.22973622,0.2303999,0.23448162,0.23899858,0.24281652,0.24725206,0.25355718,0.2597064,0.2599537,0.24769233,0.22054183,0.18245406,0.14244775,0.108975105,0.08697181,0.07730978,0.08046347,0.095949315,0.12033067,0.14401847,0.1556832,0.14900328,0.12781875,0.1028137,0.0840404,0.075900264,0.077447176,0.086558014,0.10144762,0.12028625,0.13932563,0.15376925,0.15917283,0.15341713,0.13725369,0.11487421,0.09297822,0.07918999,0.07927988,0.094903074,0.12248117,0.15442173,0.18280213,0.2029299,0.21471268,0.2208656,0.22411914,0.22608016,0.22697888,0.22743101,0.22813712,0.23035707,0.23394799,0.23787057,0.24035968,0.24065049,0.23956244,0.24132185,0.25355202,0.2848029,0.33408675,0.38787487,0.42368266,0.43030038,0.41286817,0.38990164,0.373742,0.36636233,0.36122724,0.35313573,0.34027067,0.32360408,0.30531085,0.28823313,0.275393,0.26781797,0.2640399,0.26005217,0.25345564,0.24506648,0.24095918,0.2465729,0.26346537,0.2849892,0.30237326,0.30885124,0.30494058,0.29491732,0.28436753,0.27623904,0.27141228,0.2678189,0.2623587,0.25184903,0.23653561,0.22006385,0.2080609,0.20469254,0.21050684,0.22327022,0.23878233,0.2538179,0.26621798,0.27572381,0.282307,0.28545105,0.28447416,0.2791145,0.2709621,0.2621282,0.25523713,0.25246406,0.25602672,0.2665664,0.28118524,0.293239,0.2955802,0.28564656,0.267211,0.24793188,0.23454034,0.23157005,0.24214764,0.2691217,0.30942705,0.35226795,0.38061896,0.3852978,0.36887303,0.34511304,0.32444012,0.3106973,0.30031455,0.29083893,0.28197658,0.2757504,0.27266443,0.27164128,0.27095193,0.270121,0.26976064,0.27070597,0.27334508,0.27820075,0.28612688,0.29757753,0.3117199,0.32627922,0.33907783,0.3485373,0.35382017,0.3537259,0.34755135,0.33696625,0.3273561,0.32467535,0.33071887,0.34011844,0.34548795,0.34249285,0.33349618,0.32291427,0.31395546,0.30614093,0.2973149,0.28579876,0.2720525,0.2589315,0.24997385,0.24733056,0.2505661,0.2572092,0.26488152,0.2721937,0.2794248,0.28730538,0.2972685,0.3096166,0.3233755,0.33458903,0.3392758,0.33537662,0.32565573,0.3154532,0.30975738,0.31201747,0.3244606,0.349062,0.38142505,0.41023186,0.42021492,0.40604952,0.37511182,0.3422561,0.31714386,0.30141318,0.29310858,0.2909913,0.29414436,0.29916993,0.30123603,0.29718915,0.28783873,0.27687705,0.26818073,0.26362044,0.2630612,0.2653815,0.2697523,0.27528477,0.28035283,0.28231004,0.27925685,0.27155626,0.2619863,0.25344595,0.2477744,0.24555413,0.24753857,0.25256827,0.25768396,0.25803304,0.25338992,0.24792139,0.2490683,0.2598659,0.27887595,0.30120432,0.32300124,0.34201992,0.35748324,0.3685975,0.37419745,0.37331554,0.36671236,0.35722458,0.34867993,0.34370086,0.34273458,0.3442072,0.34601977,0.3465065,0.34477302,0.34022745,0.33256114,0.32238343,0.31142858,0.3017089,0.29502764,0.2941489,0.3048108,0.3321197,0.37287998,0.4112736,0.4281075,0.41634452,0.38634267,0.3548138,0.33039674,0.31164625,0.2957082,0.2844317,0.28124097,0.28543487,0.29063118,0.29073033,0.2834551,0.27254415,0.26257917,0.25708714,0.25603744,0.25844076,0.26303995,0.26867548,0.27325106,0.27327654,0.26636544,0.25297752,0.23830925,0.22873902,0.22927071,0.24037875,0.2609279,0.28771937,0.316366,0.3385055,0.34786174,0.3437897,0.33446637,0.3289346,0.33178008,0.34034657,0.34956393,0.3556696,0.3580189,0.357527,0.3551197,0.3505194,0.3431627,0.3331083,0.3224262,0.3139406,0.30983344,0.30989727,0.31237233,0.3147577,0.3152374,0.31262472,0.30771223,0.30250624,0.2996316,0.29958555,0.302457,0.31057158,0.33052155,0.36662483,0.41263413,0.45049143,0.4626652,0.44607863,0.41347802,0.38105044,0.35626474,0.33764157,0.3219444,0.30931938,0.30131757,0.29795322,0.2964156,0.2938609,0.28884146,0.28285047,0.27810755,0.27651766,0.27784038,0.28113696,0.28580463,0.2918166,0.2991058,0.30617222,0.31197643,0.31515825,0.31515434,0.30970705,0.29796636,0.28211135,0.26989767,0.2690592,0.28187624,0.30187884,0.32038948,0.33226824,0.3389103,0.34289336,0.34547043,0.345199,0.34122446,0.33365762,0.3238586,0.31322935,0.30293217,0.29423985,0.28816393,0.2857531,0.2869108,0.29106784,0.296702,0.30290034,0.30900434,0.3153429,0.32177696,0.32800996,0.33287013,0.335418,0.33466396,0.3304151,0.32393348,0.31972858,0.32542148,0.34638473,0.3782482,0.40501726,0.4100617,0.3900349,0.3577154,0.32994562,0.31455907,0.309173,0.30892387,0.312379,0.32030523,0.33238158,0.3459655,0.35812068,0.36693963,0.37221348,0.37358654,0.37005746,0.3605391,0.3476759,0.33796012,0.33814916,0.3475152,0.35789287,0.35988185,0.35222578,0.34111264,0.3331213,0.3282559,0.3227488,0.31564656,0.31215975,0.31775346,0.33245143,0.34946418,0.362098,0.36759877,0.36767927,0.36362657,0.3555101,0.34299803,0.328843,0.31702605,0.31113696,0.31008503,0.31122497,0.31101075,0.30971023,0.30826434,0.30865234,0.31057382,0.31337723,0.31552327,0.31590652,0.3135219,0.3085551,0.30256245,0.29818454,0.29718,0.29954374,0.3049949,0.31620303,0.33943048,0.3770248,0.42045364,0.450143,0.45123908,0.42500886,0.38878286,0.35908702,0.3411312,0.32991898,0.32036343,0.31224597,0.30756792,0.30733943,0.31040812,0.31554258,0.32110703,0.32532802,0.326707,0.32500565,0.3215054,0.31707382,0.31210515,0.30593315,0.29891893,0.29204163,0.2872336,0.28521457,0.28547278,0.28682983,0.28958204,0.29591987,0.30703261,0.32072005,0.33070445,0.3321029,0.32463387,0.31365964,0.3049945,0.30148435,0.30167797,0.30221915,0.3008001,0.2977086,0.2956066,0.2970021,0.30274954,0.31125852,0.32068837,0.32937995,0.33726668,0.3432614,0.34656426,0.34541675,0.3404795,0.3327838,0.3246983,0.31716725,0.3111917,0.30662704,0.30362388,0.30231643,0.30490696,0.31546876,0.33837965,0.37247634,0.40810215,0.4301989,0.42918143,0.4079115,0.37912473,0.3550652,0.34014043,0.33186197,0.3253915,0.3178618,0.30855832,0.29895294,0.29083556,0.2862389,0.28621292,0.29219857,0.30426526,0.32109746,0.33762884,0.34870026,0.35113636,0.34702766,0.34026167,0.33407152,0.32888544,0.3247474,0.32252827,0.32357642,0.32751742,0.33207074,0.33507726,0.33629966,0.33689117,0.3369808,0.33541778,0.33134672,0.32663763,0.32444945,0.3264916,0.3306075,0.33277538,0.33033153,0.32398343,0.31646863,0.31008568,0.3055136,0.30236316,0.30024529,0.29909456,0.2989074,0.29976574,0.30200896,0.30580553,0.30994365,0.31140313,0.3069087,0.2956541,0.28015456,0.2644086,0.25126323,0.24163406,0.23691447,0.23972005,0.25324202,0.27637604,0.3034801,0.32602683,0.33860704,0.33948588,0.329568,0.30928537,0.2804779,0.24784805,0.21915366,0.20059168,0.19370764,0.1949808,0.19957761,0.20413171,0.20800067,0.21156316,0.2148689,0.21672024,0.21563675,0.21087259,0.20257278,0.19171019,0.17951691,0.16825098,0.15966989,0.1542877,0.14996362,0.14496982,0.14036569,0.14204508,0.15615642,0.18427676,0.21937801,0.25050572,0.26964232,0.2769592,0.27852836,0.28000915,0.2835052,0.2869036,0.287964,0.28451967,0.2763137,0.26260838,0.24299805,0.21683545,0.18552281,0.15277153,0.12407521,0.10403896,0.09437174,0.09250324,0.09337732,0.09250751,0.09038084,0.092170395,0.1034053,0.12410637,0.14817333,0.17142563,0.19799285,0.24061084,0.30368212,0.37535682,0.42808625,0.4446431,0.42728707,0.3968247,0.36936727,0.35010695,0.33579314,0.3261086,0.3241682,0.3308705,0.34041962,0.34223664,0.32809258,0.29690376,0.25547782,0.21385515,0.18086068,0.1611252,0.15656348,0.16582541,0.18449372,0.20313533,0.21287201,0.2089635,0.19465296,0.17579752,0.15897252,0.14960383,0.15543647,0.18139492,0.2254237,0.27304688,0.30778906,0.31945923,0.31212774,0.295652,0.2795472,0.26750466,0.2608943,0.2604719,0.2664472,0.27648386,0.28488752,0.2851613,0.27269748,0.24738069,0.21301359,0.17623593,0.14495495,0.12713161,0.12931041,0.15203094,0.18794866,0.22233345,0.24289925,0.24525423,0.23503941,0.21953899,0.2042344,0.19313146,0.1937506,0.21527301,0.25835058,0.30935904,0.3451867,0.3528087,0.33653405,0.31401494,0.29805517,0.2918855,0.29129872,0.2936293,0.29819277,0.30491555,0.3112872,0.31359503,0.30782863,0.291613,0.26475307,0.23022048,0.1950339,0.16842334,0.15919761,0.16916184,0.1922556,0.21554364,0.22852105,0.2272929,0.21647875,0.20261247,0.1913871,0.18632013,0.19252734,0.21367104,0.24857254,0.28618798,0.31314003,0.3210336,0.31356347,0.29975235,0.28798863,0.2803559,0.2762729,0.27485976,0.27667603,0.2815324,0.28730664,0.29076496,0.2892172,0.28113985,0.26556858,0.24275507,0.21717666,0.19872846,0.19905134,0.22358315,0.2662324,0.31250367,0.34796843,0.3667378,0.37170485,0.37056816,0.36947107,0.37239075,0.38112664,0.39692584,0.41614544,0.4311202,0.43225858,0.41828552,0.3956798,0.37474906,0.35906184,0.34647748,0.33343288,0.32044837,0.31007877,0.3034799,0.29925576,0.2955083,0.291404,0.2870861,0.28295657,0.27964962,0.2780337,0.2785668,0.28109893,0.28470472,0.2888027,0.29261145,0.2955413,0.29599118,0.29271138,0.28498718,0.27504563,0.26757672,0.26998565,0.28732643,0.31954002,0.35785517,0.39119938,0.4116718,0.42080632,0.42481065,0.42881063,0.43155715,0.42768025,0.41281986,0.38736406,0.3564278,0.32607603,0.30067635,0.28149298,0.26831654,0.26008594,0.25563002,0.2533498,0.25231674,0.25293556,0.25669548,0.2643197,0.2747821,0.2861093,0.2970018,0.30716917,0.3163065,0.3243756,0.33311284,0.3468919,0.36928394,0.39748374,0.42153963,0.43026868,0.42120048,0.40203306,0.38540816,0.37898576,0.3829069,0.39160576,0.39881262,0.39906728,0.38859615,0.36652318,0.3376901,0.31201875,0.2990401,0.30117258,0.31203106,0.3221331,0.3252472,0.32184383,0.31600508,0.3116616,0.3091072,0.30568835,0.29849228,0.28748813,0.2759612,0.26845375,0.26843607,0.27873516,0.30022597,0.3305569,0.35980853,0.37557745,0.36934516,0.34557793,0.31763008,0.2997198,0.29640868,0.3024219,0.3080065,0.30683818,0.29885447,0.28882232,0.282957,0.28650185,0.30179587,0.32628405,0.35148478,0.3664354,0.36416832,0.34717628,0.32501063,0.30745247,0.2986308,0.2980878,0.30432865,0.31618488,0.33148375,0.34675753,0.360821,0.3767449,0.39896187,0.42592537,0.44791603,0.4537665,0.4412264,0.41920078,0.39985374,0.38916278,0.3851461,0.38283327,0.37831235,0.3698219,0.3561835,0.33768532,0.31570473,0.293703,0.27512434,0.2629645,0.25758293,0.25767705,0.2610962,0.26727685,0.27633426,0.28793976,0.2992976,0.30730093,0.30995977,0.3083457,0.30475226,0.30204067,0.30242506,0.30768406,0.31788364,0.3309293,0.34240517,0.34818354,0.346277,0.33892763,0.3309554,0.32752517,0.3301486,0.33610547,0.34019077,0.3390329,0.33289477,0.3249587,0.31854767,0.31594932,0.31820107,0.3252469,0.33512238,0.34420463,0.3490232,0.34874845,0.34530807,0.341306,0.3369094,0.32910255,0.31250116,0.28323898,0.24206434,0.19819003,0.16778715,0.16936897,0.21139987,0.28367198,0.35812035,0.40638766,0.4176779,0.40255544,0.37891176,0.35764155,0.34007883,0.32537568,0.3147454,0.31044087,0.31218967,0.31754756,0.32316944,0.32687315,0.327401,0.32523295,0.32117686,0.3168807,0.3128632,0.30955407,0.30594742,0.3013908,0.29511335,0.28825095,0.28227943,0.279087,0.27851978,0.28014585,0.28319764,0.28818586,0.29442218,0.29995826,0.30168703,0.29865286,0.29248872,0.28684533,0.2842778,0.28561178,0.28985488,0.2963798,0.3048253,0.31476066,0.32389846,0.32950684,0.3300146,0.3267549,0.32230583,0.31899285,0.31792653,0.32017657,0.32751516,0.34143808,0.36128175,0.3825049,0.399192,0.4067473,0.4051009,0.39707533,0.38731503,0.38121286,0.38496277,0.40313697,0.4314014,0.4556589,0.45773435,0.4327288,0.3923869,0.35748684,0.33875397,0.33199286,0.3261349,0.3146772,0.30033514,0.28792524,0.28045487,0.27594554,0.2726237,0.27009106,0.2702535,0.27353528,0.27806544,0.28044185,0.27933976,0.27603674,0.27261126,0.26827598,0.2596241,0.24354112,0.22095096,0.19633551,0.17628163,0.16724831,0.17614122,0.2062655,0.25396442,0.30599046,0.34729508,0.36956894,0.37572002,0.3742802,0.37219968,0.3716443,0.37159994,0.37044892,0.36755374,0.363457,0.35984024,0.3578149,0.35773167,0.35891214,0.36144266,0.36569938,0.37212288,0.37999678,0.38818467,0.39557576,0.40108386,0.403304,0.39999115,0.39023495,0.37458125,0.35591543,0.33621106,0.3190591,0.311199,0.32444575,0.36266768,0.4140005,0.4512249,0.45806488,0.43936756,0.41631314,0.39737102,0.37379196,0.33073577,0.26868698,0.20254391,0.14962277,0.11651662,0.100094795,0.092737086,0.08894542,0.08499044,0.07954519,0.07247091,0.06693447,0.069595546,0.08932176,0.13155939,0.1923153,0.25744292,0.30960116,0.3382076,0.34347233,0.33255836,0.31281042,0.28955635,0.2681634,0.25589177,0.25832286,0.27457848,0.29605496,0.31217816,0.316699,0.30943152,0.29298785,0.2691686,0.23906066,0.20448633,0.16908903,0.13690227,0.11083889,0.09178539,0.079082884,0.07115964,0.06599503,0.061919052,0.058879748,0.05931287,0.06591615,0.078279786,0.091156386,0.0994272,0.10349089,0.11086666,0.12789948,0.15331917,0.17715381,0.18998842,0.1886272,0.17695235,0.16003151,0.14149003,0.12366549,0.10951871,0.10210669,0.10229359,0.10802891,0.1164669,0.12831433,0.14750315,0.17701669,0.2128871,0.24617319,0.26882133,0.27954376,0.2821842,0.28165388,0.28064317,0.27956483,0.27706507,0.27130917,0.26113227,0.24768923,0.23320192,0.21989352,0.20858656,0.20021464,0.19732009,0.20631742,0.23689276,0.29625916,0.37716725,0.45525286,0.5000671,0.49991146,0.46728846,0.42822865,0.3991852,0.3840846,0.37994277,0.38533315,0.39790502,0.41277662,0.4241271,0.43006328,0.43263504,0.43515357,0.43827072,0.44078782,0.44093466,0.4389291,0.4357578,0.4323868,0.42828906,0.42244157,0.41477713,0.40671837,0.40067735,0.39743567,0.39588234,0.3931713,0.3883178,0.38248292,0.3784368,0.376724,0.37558413,0.37242064,0.36652687,0.3589827,0.35086384,0.3425471,0.3345773,0.32933283,0.32990372,0.33734152,0.34842038,0.35762262,0.36095932,0.35874924,0.35353085,0.34768915,0.3416156,0.33585766,0.33125415,0.32878685,0.32759616,0.32565627,0.32150015,0.3155309,0.309359,0.30359018,0.29808828,0.2952425,0.302971,0.33086,0.3788409,0.4318621,0.46705756,0.47282496,0.4550247,0.43103397,0.4131907,0.4056623,0.4061176,0.41200566,0.4198163,0.42608163,0.428159,0.42648575,0.42348728,0.4215652,0.4211224,0.42092857,0.41953215,0.41672364,0.41372976,0.41206822,0.41204426,0.41178212,0.4087818,0.4018222,0.3930594,0.38589755,0.3835127,0.38616356,0.3929827,0.401144,0.40792271,0.4102408,0.4080371,0.40351066,0.40009567,0.39886567,0.39755657,0.39190674,0.37808433,0.3564335,0.33206627,0.3134487,0.30685928,0.31302103,0.327145,0.34257555,0.35494462,0.36315238,0.36858967,0.37229872,0.37438154,0.37444794,0.3730035,0.37139294,0.37061623,0.370692,0.3706089,0.3695121,0.36796343,0.36978397,0.381447,0.40700912,0.44030917,0.46463713,0.46381402,0.43739852,0.4013505,0.37418747,0.36157718,0.35707167,0.35292688,0.34855565,0.34744176,0.35095394,0.35527453,0.35526004,0.34821153,0.33547637,0.32058254,0.30669442,0.29612437,0.29040253,0.29146662,0.29972646,0.31255654,0.3232384,0.32524428,0.31590727,0.298527,0.27817193,0.2600372,0.24841668,0.24989426,0.26828018,0.301662,0.33807588,0.3659829,0.37943438,0.3831899,0.38354722,0.3850431,0.38775444,0.39147687,0.39679685,0.4043897,0.41333306,0.4202642,0.42184255,0.41686058,0.40749893,0.39758793,0.39075956,0.38951156,0.3947238,0.40535328,0.417725,0.42721453,0.43024626,0.42675164,0.41894373,0.4093845,0.39880013,0.3876343,0.3790482,0.3802749,0.39756787,0.42790303,0.45650315,0.46636948,0.45238253,0.4246343,0.39825034,0.37993357,0.36647722,0.3520849,0.3360685,0.3220353,0.3131541,0.30916002,0.3086594,0.312919,0.32596907,0.34953475,0.37779716,0.3986901,0.40132427,0.38374543,0.35290906,0.31935042,0.29040262,0.268662,0.25322714,0.24211891,0.23347096,0.22734648,0.2271545,0.2403332,0.27139091,0.31752405,0.36448014,0.3986191,0.41264573,0.41201925,0.40480137,0.39791846,0.39280474,0.38985023,0.38960984,0.39336374,0.40065357,0.40831113,0.41218433,0.41043413,0.4053239,0.4008261,0.399745,0.40196267,0.40650013,0.41267034,0.4204097,0.4285055,0.43420923,0.43449327,0.42817426,0.4169726,0.40376416,0.39170113,0.3838077,0.38512635,0.39786625,0.4175172,0.4302424,0.42462096,0.40043154,0.3697923,0.3449253,0.3293498,0.3194629,0.311191,0.30421975,0.29919636,0.29578772,0.29262725,0.28964022,0.28840885,0.29002056,0.2934232,0.29498765,0.29222295,0.2851366,0.27717757,0.27082312,0.26612914,0.260283,0.25159082,0.24085079,0.23067188,0.22242975,0.21750116,0.21922766,0.23507583,0.2688153,0.3160822,0.36235437,0.39586434,0.4131105,0.42029142,0.42289755,0.4229751,0.42006472,0.41527486,0.41126156,0.40911707,0.4080138,0.40545574,0.40078583,0.39473665,0.38930884,0.3848672,0.38066006,0.37547144,0.36989,0.3654451,0.36343196,0.36309385,0.36315238,0.3630686,0.36385512,0.3658872,0.36767086,0.36785415,0.36894104,0.37886867,0.40237752,0.43270192,0.45041135,0.4407357,0.40711567,0.3700123,0.3468555,0.33963457,0.3387475,0.33699512,0.3349329,0.33625913,0.34145537,0.34763917,0.3520656,0.3543575,0.3558365,0.35748076,0.35953334,0.36195898,0.36584726,0.37316668,0.38509706,0.4002688,0.4140084,0.421145,0.41855872,0.407866,0.39428067,0.38437888,0.38233373,0.38800523,0.39672658,0.40271044,0.40206656,0.3956643,0.3866047,0.37819836,0.37111035,0.36522818,0.3604777,0.35822344,0.36034572,0.36802313,0.37939835,0.3889326,0.39119568,0.38626805,0.380564,0.37948644,0.38045892,0.37479535,0.3577602,0.33476725,0.31696084,0.31145683,0.31687346,0.3273544,0.33853605,0.34982988,0.36204657,0.3768767,0.39694402,0.42624232,0.46270788,0.49515843,0.5058074,0.48659527,0.44570732,0.40335298,0.3743341,0.36141023,0.35864243,0.36122933,0.36766478,0.37706077,0.38597736,0.39053908,0.38962245,0.38600174,0.3833892,0.38336876,0.3849578,0.38655505,0.38810423,0.39012587,0.3926479,0.39386177,0.39237657,0.38798523,0.38239858,0.37729564,0.3734876,0.37071538,0.36837313,0.36627236,0.36405072,0.36100462,0.3560708,0.34945312,0.3428736,0.33864084,0.3376932,0.33895266,0.34048092,0.34054628,0.33891913,0.3362517,0.33400667,0.33301428,0.3331237,0.33322623,0.33188233,0.3282934,0.3219463,0.31304884,0.3021183,0.2906405,0.2803744,0.2728611,0.2680908,0.2645317,0.26010057,0.25416014,0.24932933,0.25199562,0.27188814,0.31631032,0.38222125,0.45050874,0.4947729,0.4983708,0.4666953,0.42104104,0.3824134,0.36010143,0.35259128,0.35431424,0.36044356,0.3669298,0.36886296,0.3594385,0.3325572,0.28705236,0.22962613,0.1724304,0.12726967,0.10093329,0.09433528,0.103646904,0.1215122,0.13838568,0.14639567,0.14281154,0.131278,0.11828744,0.11038646,0.11309797,0.13258046,0.17217611,0.22837357,0.28715506,0.3326151,0.35544458,0.3593576,0.35358658,0.34607002,0.33927178,0.333972,0.33212125,0.3358272,0.34475008,0.35412154,0.35860452,0.35539344,0.34723863,0.33905816,0.33514464,0.33611032,0.34111252,0.34930155,0.36119035,0.37545526,0.38834646,0.39440224,0.39130625,0.38120165,0.36895454,0.35941926,0.35723495,0.36931655,0.40161452,0.45055676,0.49899164,0.523473,0.5140615,0.47881198,0.43792617,0.403844,0.37906182,0.35862565,0.34007514,0.32316247,0.30901814,0.29790264,0.29033062,0.28747705,0.29021433,0.29639804,0.29924333,0.2906874,0.26777306,0.23832591,0.21757631,0.21904343,0.24463694,0.28411087,0.3224415,0.3492379,0.36243936,0.36527523,0.36146128,0.35270515,0.33901915,0.3202074,0.2965522,0.2698282,0.24277769,0.21846248,0.19842838,0.18258339,0.16974567,0.15915328,0.15104413,0.1462806,0.14528738,0.1470085,0.14948978,0.15101211,0.15167098,0.1530382,0.15739448,0.16657265,0.1819322,0.20411973,0.2324524,0.26347837,0.2902609,0.30334693,0.29420802,0.26057482,0.20947188,0.1559952,0.11504427,0.09517407,0.096237265,0.114935,0.14696135,0.1871788,0.22728561,0.25909427,0.2782909,0.28585017,0.28466693,0.27675632,0.26337737,0.2464483,0.22893156,0.21304767,0.1992889,0.18635064,0.17348261,0.16180289,0.15494476,0.15701096,0.1714357,0.19947363,0.23930508,0.28509155,0.32793435,0.36018836,0.3786732,0.38560602,0.38414708,0.37545693,0.35827592,0.3334601,0.30616224,0.28427747,0.27219355,0.2683939,0.26661885,0.26163355,0.25123087,0.23705071,0.22144282,0.20648246,0.19224326,0.17832105,0.16419758,0.15039206,0.13747264,0.12586002,0.11541438,0.10575942,0.09668126,0.08945146,0.08740312,0.0952489,0.11442145,0.14015679,0.1606264,0.16432251,0.14659034,0.11395498,0.0787063,0.052294165,0.040476777,0.044554904,0.0632263,0.09317782,0.12844305,0.16168839,0.18662827,0.20037685,0.20332961,0.19843374,0.18936105,0.17883964,0.16689356,0.15074904,0.12778674,0.0983994,0.0675349,0.041173078,0.02325739,0.013396819,0.009019901,0.007320721,0.0068817246,0.0070307427,0.0073277955,0.007183172,0.006356062,0.005018052,0.003701626,0.0027356036,0.0021837302,0.0023293057,0.0046969894,0.012992177,0.031876903,0.06437639,0.1085459,0.1579317,0.20454109,0.24299128,0.2716707,0.29146174,0.30377635,0.3087248,0.30424854,0.28609124,0.25064617,0.19915117,0.1397091,0.08437607,0.042731237,0.01768838,0.0059183966,0.0018966435,0.0012508277,0.0017187403,0.002394815,0.002799582,0.0027334827,0.0022413942,0.0016339909,0.0011513274,0.0008815469,0.0009391727,0.002163738,0.0067780656,0.018154472,0.038723726,0.067649186,0.10009877,0.13041689,0.15549433,0.17601927,0.19380967,0.2089817,0.21994585,0.22410013,0.21918291,0.20229225,0.17233503,0.1318673,0.08858081,0.051405042,0.026016116,0.012647201,0.008123684,0.009094062,0.013248466,0.01874672,0.023315696,0.02543188,0.026355604,0.031606767,0.048752457,0.08264252,0.1309486,0.18450026,0.23320621,0.27223358,0.30427387,0.33424386,0.36406684,0.38989905,0.40664163,0.41186288,0.4082038,0.40092263,0.39515504,0.39279756,0.39053956,0.3809801,0.35695136,0.31793308,0.27045336,0.2243011,0.18528064,0.15400857,0.12742071,0.10343111,0.08179993,0.064029984,0.05132482,0.044797987,0.04507109,0.051839173,0.061719496,0.06996038,0.074616574,0.081903316,0.1030424,0.14624156,0.20791541,0.27427986,0.32948473,0.36466074,0.3802724,0.38239434,0.3777262,0.37001923,0.36033225,0.3477598,0.33068597,0.30640712,0.27309445,0.2319517,0.1890556,0.15185837,0.12570694,0.11187661,0.110795595,0.122130476,0.14444816,0.17240529,0.20058143,0.22517155,0.24609113,0.26239032,0.27116215,0.26724657,0.24904539,0.222241,0.20183043,0.20432581,0.23821068,0.2954607,0.35698175,0.4036959,0.42810464,0.4341332,0.43060863,0.42394206,0.4159013,0.404914,0.38705608,0.35808775,0.31587538,0.26433137,0.21240012,0.17013405,0.14266461,0.12952152,0.12734798,0.13461275,0.15296863,0.18414295,0.2252605,0.26679823,0.29763833,0.31177774,0.31187403,0.30501595,0.2971039,0.29024884,0.28642717,0.2893674,0.3030845,0.32568508,0.34955975,0.3663149,0.37361947,0.37511635,0.3754586,0.37678167,0.3781056,0.37820032,0.37624598,0.37279114,0.36850488,0.3641231,0.35980722,0.3552049,0.3489121,0.33863473,0.32328463,0.30611017,0.29436147,0.29425704,0.3038737,0.31347382,0.31192902,0.29548386,0.2682794,0.23751684,0.20787217,0.18251507,0.16740419,0.17202364,0.20313792,0.25626746,0.3159498,0.36424974,0.39226958,0.4021097,0.4020785,0.39893666,0.39554143,0.39174834,0.38626483,0.37727916,0.36300495,0.34356248,0.32178137,0.30212474,0.28769138,0.27898806,0.2747585,0.2735443,0.27390257,0.2735295,0.26906195,0.25749925,0.23882173,0.21682703,0.1969815,0.18196191,0.17076528,0.16200007,0.15948586,0.17135759,0.20440249,0.25575575,0.3136115,0.36226484,0.3925644,0.40401578,0.40407458,0.4003365,0.3968458,0.39162835,0.3786451,0.351475,0.30779222,0.25357175,0.20056134,0.16020234,0.13597512,0.123409666,0.1146278,0.104308195,0.0910005,0.07588143,0.060572207,0.04665148,0.035234623,0.026968896,0.021602944,0.018536089,0.017782765,0.021288464,0.033472687,0.059503306,0.10161421,0.15525167,0.21001057,0.25491256,0.2844458,0.29995528,0.3062215,0.3083547,0.30942726,0.3104128,0.309468,0.3038441,0.2937362,0.28325632,0.2787168,0.28204298,0.29078603,0.29954016,0.30552387,0.30841103,0.310415,0.31404352,0.32263485,0.33745384,0.3571249,0.3759328,0.38870916,0.39310002,0.39245582,0.3921686,0.39735472,0.4090526,0.42423657,0.43714604,0.44352016,0.44358644,0.44078472,0.4385129,0.43701848,0.435168,0.43151248,0.42547238,0.41611505,0.40308642,0.3872434,0.37136915,0.35876858,0.35205838,0.3516275,0.3556652,0.3604591,0.36260602,0.36027464,0.353888,0.34466764,0.33395144,0.3230919,0.31382796,0.30760512,0.30464455,0.30378845,0.30393723,0.30485094,0.3072772,0.31066307,0.31269503,0.30986628,0.30129686,0.2897817,0.2805823,0.2765623,0.27648476,0.2760761,0.27247956,0.26582822,0.2586842,0.2530095,0.24931644,0.24682552,0.2446003,0.2412945,0.23535742,0.22593611,0.21444476,0.20452873,0.20021756,0.20352441,0.21326862,0.22614767,0.23911273,0.25094005,0.2620652,0.27243423,0.28257093,0.2935165,0.30795267,0.32518768,0.34142014,0.35070828,0.35109818,0.34405097,0.3328254,0.318915,0.30337453,0.28764895,0.27447715,0.26618627,0.2633922,0.2647202,0.2668998,0.26760724,0.2653361,0.2610906,0.2542546,0.24399234,0.22806181,0.20758386,0.18518049,0.16501886,0.14923024,0.13902701,0.13466209,0.13618329,0.14211535,0.14939877,0.15473737,0.1578378,0.1623493,0.17355303,0.19337052,0.21860826,0.24382602,0.26581958,0.2852275,0.303467,0.31966618,0.32942632,0.3280139,0.3136712,0.28933764,0.25951514,0.22662652,0.19003777,0.14974265,0.10974275,0.07754107,0.05964223,0.05722621,0.065004885,0.074146785,0.07748551,0.074007116,0.06906178,0.06976489,0.079083614,0.09504958,0.11703796,0.15297633,0.21656758,0.31120038,0.4178473,0.50043243,0.5328776,0.5155998,0.4737251,0.43350193,0.40965042,0.40219262,0.40601102,0.41459212,0.42374733,0.42997453,0.43137816,0.42428136,0.40489122,0.36985937,0.321981,0.2695947,0.2247331,0.19750148,0.19217683,0.20533095,0.22559512,0.24011202,0.24052377,0.22819303,0.20975421,0.19350393,0.18632318,0.19601172,0.22670542,0.27490127,0.3251847,0.36094365,0.3730605,0.3667625,0.35288486,0.34076414,0.33318138,0.3293794,0.3290154,0.3331726,0.34300435,0.35532168,0.3627725,0.35697523,0.33447316,0.29866436,0.25703207,0.21806836,0.18959509,0.18023926,0.19559915,0.233887,0.2815648,0.32063067,0.33779523,0.33231828,0.31186104,0.2873,0.26920465,0.270156,0.30044624,0.3591304,0.42665538,0.47544608,0.48927036,0.47468778,0.4510983,0.43263474,0.4214065,0.41326997,0.40763256,0.40632895,0.41137862,0.41999784,0.42821106,0.43040848,0.4228431,0.40269926,0.37102795,0.3333905,0.29944777,0.2801266,0.28104064,0.29958457,0.32384673,0.34086463,0.34267902,0.33064368,0.3108962,0.290683,0.27629364,0.27424157,0.2887194,0.31731132,0.3489209,0.37039694,0.37517944,0.36732247,0.35601684,0.3484448,0.3465506,0.34924778,0.35542056,0.36392573,0.3728234,0.37826124,0.3777382,0.37034476,0.35737142,0.33816433,0.31240633,0.2829499,0.26000607,0.25657496,0.2800831,0.32580307,0.37893403,0.4237559,0.45163855,0.4626659,0.46208236,0.45609674,0.45205042,0.4569001,0.47486153,0.50107926,0.523144,0.5278942,0.51221204,0.48384854,0.45490023,0.43257132,0.417513,0.40701506,0.3987927,0.39206252,0.38676846,0.38327003,0.38168573,0.38212514,0.38428068,0.38758802,0.39085925,0.39302722,0.3933141,0.39171663,0.38847753,0.38450098,0.3809025,0.37856135,0.37725088,0.37614977,0.37455535,0.37348178,0.3753011,0.3840729,0.4006163,0.42216158,0.44044626,0.4501836,0.44972345,0.4439001,0.43693462,0.43196794,0.42833948,0.4236075,0.41434523,0.39862347,0.37804648,0.35697123,0.34030792,0.33011308,0.3254666,0.32389942,0.32407358,0.32618985,0.33110872,0.3390778,0.3496565,0.36191916,0.37470344,0.38651517,0.3964599,0.40437877,0.41113973,0.41812792,0.428197,0.44515714,0.4702641,0.49712384,0.51269233,0.5061426,0.47952357,0.44616964,0.4213316,0.41031286,0.40946686,0.410055,0.40600893,0.39510655,0.3808665,0.369711,0.36768308,0.37636587,0.39155388,0.4062483,0.4137,0.41146255,0.4014161,0.38932645,0.38098297,0.37910792,0.38174024,0.3844976,0.3843485,0.38140264,0.37762585,0.3748109,0.37453213,0.3792309,0.39043418,0.40617022,0.41915512,0.4221666,0.41284466,0.39706945,0.38447285,0.38226318,0.3906589,0.40274933,0.41112554,0.4117614,0.40726078,0.40114108,0.3968433,0.3958291,0.40085912,0.41334856,0.4300215,0.4422038,0.44058993,0.42370948,0.3977274,0.37285444,0.3554826,0.34870997,0.3522215,0.36429504,0.37985834,0.39439487,0.4072499,0.42444512,0.4506562,0.4820087,0.50429267,0.5050978,0.484573,0.45554438,0.4314058,0.4161189,0.40520167,0.3933791,0.3796254,0.36609158,0.35471907,0.34561467,0.33763766,0.3299054,0.32284772,0.31771612,0.31567177,0.31684998,0.32125366,0.3292041,0.34121585,0.3561217,0.37069032,0.38099957,0.38526905,0.3845894,0.38144812,0.37837422,0.3774853,0.3821349,0.3933355,0.40938747,0.42239928,0.4263669,0.4180807,0.40287283,0.38735196,0.3780388,0.3750153,0.37485301,0.3725954,0.366545,0.35792646,0.34942183,0.34337974,0.34223142,0.34743294,0.35807738,0.36946723,0.37688482,0.37864372,0.37784472,0.37787986,0.3796161,0.38072684,0.3786334,0.37260506,0.36319193,0.35168493,0.3404474,0.33573425,0.34773624,0.38264498,0.43389353,0.4803206,0.5023967,0.49582782,0.4734629,0.44962725,0.42985478,0.41216198,0.3954537,0.3826917,0.3772219,0.37894437,0.38413164,0.38860345,0.39056084,0.39094722,0.39144877,0.39279175,0.39460084,0.3968867,0.39994475,0.40359926,0.4061354,0.40604082,0.40375748,0.40212607,0.40384734,0.40877917,0.4142169,0.41665265,0.41508043,0.41000187,0.40392295,0.3983831,0.39540157,0.39506808,0.39733565,0.4004759,0.40316522,0.40364572,0.4011973,0.39586747,0.38926157,0.3833448,0.3795532,0.3777021,0.37671745,0.3755579,0.3741894,0.3732486,0.37347403,0.3754779,0.37970254,0.3865316,0.39544082,0.40537432,0.41512442,0.42434707,0.43284023,0.43912116,0.4416554,0.44149706,0.44560257,0.46003187,0.4825863,0.49855146,0.4934652,0.4645373,0.42355046,0.3845192,0.35415104,0.33154735,0.3145078,0.30328417,0.2988173,0.30075988,0.30703393,0.31576192,0.32516003,0.33339825,0.3377036,0.3362005,0.328789,0.31776416,0.30565313,0.29371944,0.2807385,0.2648371,0.24498199,0.22286625,0.20162933,0.18512571,0.17725067,0.18278177,0.20612592,0.24672358,0.29617333,0.34031662,0.36877608,0.3799869,0.38068354,0.37754193,0.3736923,0.36860886,0.36255416,0.35750857,0.35576126,0.35695925,0.35812405,0.35636306,0.3519791,0.3479012,0.3469638,0.34897816,0.35194084,0.3542061,0.35654283,0.35999456,0.3637965,0.3642751,0.3586572,0.34756994,0.33564746,0.32742068,0.3264884,0.33695856,0.36392972,0.4069393,0.45212945,0.47729662,0.4683533,0.43325353,0.39305472,0.36174968,0.3342091,0.29697284,0.24489312,0.18714046,0.13785218,0.10526693,0.088575594,0.082024895,0.07968485,0.077471055,0.07326367,0.06688979,0.060642216,0.05982941,0.07154886,0.10052344,0.14442255,0.19311343,0.23440294,0.26100758,0.27282855,0.27329847,0.2649813,0.24949737,0.22984184,0.2121061,0.2027032,0.20462543,0.21482162,0.2261783,0.23136449,0.22633602,0.21110518,0.1884436,0.16237237,0.1365708,0.11391097,0.095677055,0.08208727,0.07239557,0.06568194,0.06079488,0.05660376,0.05263402,0.050140698,0.05228044,0.061296582,0.07518236,0.08742079,0.0928969,0.093544275,0.09820471,0.114330836,0.1417592,0.17218632,0.19624531,0.20789804,0.20644756,0.19400682,0.17465483,0.15313469,0.13429962,0.12166503,0.115959145,0.115712084,0.11823677,0.12311903,0.13133983,0.1447112,0.16160135,0.17871624,0.19221716,0.20127861,0.20671189,0.21029925,0.21304502,0.2149903,0.21444763,0.20885853,0.19672711,0.17954777,0.16112906,0.1452929,0.13421999,0.12871893,0.12996665,0.14279276,0.17741676,0.24558274,0.34589016,0.45489374,0.53455997,0.56050104,0.53806174,0.49440584,0.45352277,0.42372024,0.40384683,0.39277914,0.39227012,0.4020164,0.41866216,0.43692386,0.45266995,0.4639065,0.47036004,0.47353458,0.47517982,0.4772937,0.47941732,0.4798243,0.4761226,0.46835923,0.45880607,0.45087567,0.44730958,0.4488537,0.45459267,0.46253982,0.47118983,0.4785019,0.48142263,0.47611204,0.4622035,0.44408777,0.42874268,0.41995528,0.41620946,0.4134105,0.4089141,0.40437582,0.40384927,0.41129354,0.4266115,0.44561353,0.46165752,0.4702725,0.47110888,0.4679346,0.4644264,0.4620366,0.45908794,0.4546596,0.4499211,0.44822648,0.4510883,0.45726824,0.46350685,0.46727112,0.4669287,0.46346727,0.46239474,0.47424126,0.5042292,0.54415053,0.5730376,0.5767028,0.557857,0.5330252,0.51426035,0.5035092,0.49702212,0.49361515,0.49431327,0.49823412,0.50149775,0.5004664,0.49487653,0.48760247,0.48097113,0.47488692,0.4670123,0.456874,0.44680056,0.44117773,0.44146574,0.4449192,0.4459432,0.44110537,0.43206277,0.42387155,0.42246354,0.42971244,0.44503608,0.46213672,0.4747291,0.4754642,0.4648898,0.44722345,0.43114328,0.42066836,0.4164876,0.41436133,0.40930757,0.39652553,0.37522197,0.35020366,0.33073485,0.32454148,0.3322982,0.34754375,0.36218378,0.3714434,0.37421528,0.37035683,0.36059177,0.34841645,0.34108165,0.3452792,0.36213064,0.3856612,0.40761504,0.4228892,0.43238583,0.44224977,0.4613932,0.49551916,0.5387367,0.57278115,0.5780752,0.55169386,0.5090242,0.47075036,0.44421732,0.42408636,0.4029158,0.38304555,0.37204108,0.37440476,0.38438174,0.3919073,0.38993487,0.37959194,0.36665484,0.3558413,0.34885228,0.34527066,0.34571198,0.35031095,0.35775447,0.36406827,0.36553583,0.36096156,0.3522053,0.34233466,0.33421364,0.3308414,0.33557525,0.34915006,0.3674419,0.3814924,0.38528523,0.3792194,0.37033108,0.36413503,0.36213887,0.36243692,0.36452043,0.36979607,0.37941328,0.39159188,0.40195274,0.4066348,0.40505812,0.39957336,0.3930738,0.38709554,0.3833382,0.3849182,0.39553174,0.4154991,0.44009444,0.46182334,0.47522435,0.4792079,0.47636792,0.47034597,0.46468964,0.46266174,0.46794024,0.4834663,0.50792557,0.5340135,0.55098844,0.552782,0.54110926,0.52309436,0.50378674,0.48402676,0.4623275,0.4385922,0.41536593,0.39594993,0.38370654,0.3805052,0.38910437,0.4103394,0.44270647,0.47756362,0.5039995,0.51228,0.50148463,0.4770552,0.44824982,0.4217234,0.40110287,0.38669333,0.3778127,0.37307975,0.3714427,0.37257025,0.377995,0.38933858,0.40663505,0.42563808,0.4414185,0.45046496,0.45409277,0.4542701,0.4521842,0.44599736,0.43513763,0.4216162,0.41094878,0.40720907,0.41069257,0.41724345,0.42260918,0.4252262,0.42690802,0.43042216,0.4373677,0.44709906,0.457419,0.4658054,0.47137177,0.47495067,0.47819877,0.48094788,0.4812977,0.47684205,0.4684082,0.46102723,0.46250913,0.47714233,0.49985194,0.5181205,0.5206582,0.50845355,0.49102053,0.47860074,0.47173747,0.46621737,0.45738885,0.44601455,0.43473744,0.4265902,0.4218172,0.41945878,0.4178472,0.4165512,0.4151224,0.41224253,0.4061469,0.3966198,0.3862803,0.37812254,0.3727037,0.36784923,0.36094335,0.35192826,0.34221736,0.33346477,0.32712975,0.32612,0.33635697,0.36025885,0.3941017,0.42459905,0.44178125,0.44240394,0.43444297,0.42567074,0.42133033,0.42079768,0.42194274,0.422307,0.42071733,0.41800916,0.41561338,0.41435182,0.41277567,0.40898302,0.40216854,0.39364907,0.38600397,0.38235202,0.38551363,0.3961815,0.41139922,0.42510638,0.43244576,0.43268836,0.43006948,0.42934167,0.43486503,0.4496833,0.4785016,0.5211793,0.56791663,0.5980234,0.5955433,0.5627859,0.51920456,0.48428312,0.46288887,0.44895646,0.43611112,0.4247514,0.41746342,0.4149336,0.4150587,0.41631582,0.41772178,0.4183495,0.41597125,0.408873,0.3976096,0.38521293,0.3774202,0.37851417,0.39056745,0.4095067,0.42953062,0.44444492,0.45223716,0.45292667,0.4486976,0.44250858,0.4385101,0.43899083,0.44304347,0.4465754,0.44752428,0.44665286,0.4466264,0.44678727,0.44427025,0.4367425,0.42656812,0.41905224,0.41854712,0.4249351,0.43412855,0.44159994,0.44518545,0.4462746,0.4464102,0.444603,0.43595156,0.41690096,0.39044318,0.36718464,0.3585101,0.3681179,0.38972905,0.4119965,0.4267325,0.4323013,0.4322183,0.42975804,0.4254844,0.41729045,0.40479898,0.3905138,0.37973377,0.37547925,0.37798786,0.38406935,0.39109564,0.39696884,0.40171817,0.40617946,0.41098619,0.41374543,0.40746364,0.38446653,0.34170341,0.28575984,0.2285576,0.18186079,0.15207009,0.14242105,0.15407528,0.18463129,0.22445393,0.25839198,0.2737075,0.26706743,0.24503161,0.2175569,0.19326442,0.17801343,0.1775815,0.19535314,0.22964172,0.26986405,0.3029987,0.32001427,0.32181776,0.3148059,0.30571452,0.29931223,0.30008838,0.3141769,0.34341753,0.381308,0.41150033,0.4192871,0.3998084,0.36134383,0.3162418,0.27492338,0.2444414,0.2331134,0.24904595,0.29402277,0.3567512,0.41707113,0.45704854,0.47115526,0.46597907,0.4527652,0.44021395,0.43185326,0.4269798,0.42264315,0.41578224,0.40566304,0.39432096,0.3850619,0.3794798,0.37645617,0.37355354,0.3697108,0.36628702,0.36616254,0.37009415,0.37502828,0.37354672,0.3592627,0.33019388,0.29159105,0.251344,0.21683633,0.19248684,0.18240039,0.18981545,0.21426237,0.24721801,0.2750881,0.28655055,0.279464,0.25959614,0.23496799,0.21190624,0.19531511,0.19116235,0.2032748,0.23023517,0.26194528,0.2871139,0.2985133,0.29825568,0.29190513,0.28490898,0.27882302,0.27360073,0.26878142,0.2640041,0.2583643,0.24985887,0.23710614,0.22003956,0.20059364,0.18085949,0.1628653,0.14856704,0.14098251,0.14236961,0.15207233,0.1644864,0.17228884,0.1702411,0.15860476,0.14116989,0.12257808,0.10626321,0.09554205,0.095483966,0.1122995,0.15009789,0.20579702,0.269173,0.32722,0.37129208,0.3990015,0.41147473,0.41030788,0.39757422,0.3785908,0.35987225,0.344776,0.3284264,0.30163383,0.25843564,0.20352392,0.1489522,0.10646949,0.07976011,0.06547849,0.057517737,0.051674303,0.046162162,0.040756032,0.035627853,0.030986324,0.026966445,0.02362389,0.02091948,0.018738395,0.01689971,0.015222876,0.013577166,0.011936692,0.01036677,0.008969331,0.0077955737,0.0068087983,0.0059199906,0.0050646714,0.004246843,0.0035130398,0.002895668,0.0023836698,0.0019421201,0.0015484683,0.0012049557,0.00092345127,0.00070492,0.00053597754,0.00040069045,0.00029093557,0.00020709219,0.00015007814,0.00011690223,0.000100781726,9.552759E-05]