[0.016665157,0.015543387,0.013497118,0.011476389,0.010287206,0.009826109,0.0109593,0.016591085,0.03247851,0.06395967,0.11287173,0.17331868,0.23287304,0.27479532,0.2877731,0.271863,0.24030928,0.20894337,0.18499394,0.16650282,0.15098767,0.1447977,0.15594208,0.18327391,0.21248533,0.22759543,0.22481854,0.21398316,0.21086602,0.22551644,0.25741306,0.29464316,0.3202496,0.3228607,0.3060799,0.28659543,0.2813622,0.29272524,0.30785677,0.3108596,0.3001331,0.28774333,0.28825378,0.2994874,0.306489,0.29026517,0.2500501,0.20115419,0.1707874,0.17271882,0.2027301,0.23826282,0.26287675,0.2727927,0.27891842,0.28840902,0.3007885,0.30669582,0.2975943,0.27004597,0.23002918,0.19434746,0.18359137,0.20721047,0.25090495,0.28457382,0.28598514,0.2595223,0.22994398,0.22473703,0.25152397,0.29800388,0.33215833,0.3303194,0.28738925,0.23080201,0.19207771,0.19136865,0.21824615,0.2508274,0.2666268,0.2623531,0.24640791,0.23404361,0.22866935,0.2238794,0.20931478,0.18559693,0.16166602,0.14696985,0.14452001,0.15612692,0.18287809,0.22272293,0.26299074,0.29215577,0.3051456,0.31031922,0.3129014,0.3137239,0.30621013,0.28827378,0.26305076,0.23780185,0.21896863,0.20606214,0.19433944,0.17789239,0.15976387,0.15312314,0.17184956,0.21775877,0.2702419,0.3041921,0.30581912,0.2861086,0.2621753,0.2420456,0.22034653,0.18924879,0.15140234,0.118087985,0.1074302,0.12915097,0.17920108,0.23417778,0.26857564,0.26752725,0.23750634,0.19652177,0.16617317,0.1593737,0.17706972,0.20437996,0.22037613,0.21142505,0.1846031,0.1645748,0.17382447,0.21378891,0.25922802,0.28025648,0.26366517,0.22510046,0.19240801,0.18411203,0.1942277,0.20154427,0.19094352,0.16929561,0.15510975,0.15854703,0.16897835,0.17247617,0.16927455,0.1761349,0.20743883,0.2576791,0.30885234,0.3423545,0.35547253,0.35338068,0.34388855,0.32877374,0.30908176,0.28794968,0.27226904,0.2657538,0.26988304,0.2802883,0.29479674,0.306478,0.313629,0.311748,0.30181658,0.27777517,0.24053091,0.19671929,0.16697276,0.16395296,0.18511198,0.2116189,0.23028773,0.24064393,0.24947827,0.25547078,0.24836029,0.22097327,0.17988773,0.14530414,0.13377206,0.14727682,0.16892342,0.18204166,0.18370692,0.18881668,0.21130955,0.24784613,0.2806203,0.29237363,0.2842403,0.26601988,0.24935083,0.23119466,0.20727856,0.17413437,0.14411496,0.1313804,0.14562948,0.17572145,0.2014035,0.20506299,0.18903066,0.16643436,0.1499898,0.13791949,0.12307482,0.10250696,0.08692192,0.09011886,0.115877114,0.15039937,0.17152984,0.16775072,0.14624093,0.12951462,0.13395236,0.16113502,0.19498563,0.21958233,0.2255859,0.2136919,0.18623495,0.14876232,0.11222302,0.09387655,0.10522912,0.14414062,0.19237949,0.22971477,0.2430164,0.2327782,0.21042697,0.19016767,0.18332182,0.18831073,0.19771622,0.20147891,0.19783658,0.18793114,0.17289282,0.15018943,0.12026397,0.09236542,0.0848842,0.112487786,0.17375553,0.2447974,0.29755768,0.31542644,0.30648708,0.28557065,0.26519188,0.24566138,0.22793289,0.21281554,0.20095108,0.18731894,0.1682971,0.1490566,0.14258401,0.15843593,0.19067018,0.22155619,0.23530792,0.2333191,0.22995473,0.23773098,0.2534289,0.26284215,0.2570437,0.23897743,0.2188612,0.19875385,0.17633605,0.1502976,0.13113086,0.13023837,0.15094914,0.18489568,0.22057872,0.25276878,0.27506083,0.28081965,0.26084775,0.22028609,0.17099166,0.12731521,0.09380442,0.07421606,0.075490355,0.103612356,0.15211225,0.20023954,0.227591,0.22810687,0.20998925,0.18477428,0.15668057,0.12798376,0.10266402,0.091713965,0.10182393,0.13232853,0.17012787,0.19999272,0.21008228,0.19951092,0.17617325,0.15180044,0.1353333,0.12774396,0.12357863,0.11543829,0.102776654,0.09492502,0.10594946,0.14320402,0.20106508,0.26384684,0.31579188,0.34623322,0.35279098,0.33883333,0.31065628,0.2736133,0.23027046,0.18571536,0.14904769,0.13141668,0.13507253,0.14906137,0.15606277,0.14672175,0.12768744,0.11446684,0.117209435,0.13395894,0.15562834,0.17583458,0.19273673,0.20505679,0.2105167,0.20810623,0.20445567,0.20919256,0.23414846,0.28332323,0.3547833,0.43123117,0.4856678,0.4889644,0.4319134,0.3340262,0.23197098,0.15724216,0.11807842,0.1054692,0.103287935,0.10247194,0.10056015,0.101186134,0.107123345,0.11868417,0.13223143,0.14231159,0.14635307,0.14472073,0.14186706,0.13831235,0.13309355,0.12233447,0.10782529,0.0940108,0.08728933,0.088460915,0.09350714,0.096406244,0.095281236,0.09295692,0.093150504,0.09649605,0.10063539,0.10316516,0.10368249,0.103863694,0.10581627,0.111275405,0.11945764,0.12908028,0.13723803,0.14317651,0.14523517,0.14332117,0.13647105,0.12617593,0.11626711,0.11196064,0.11634446,0.12502064,0.1294768,0.12202846,0.10554791,0.09004638,0.085353814,0.09160694,0.101057045,0.10665071,0.10702294,0.106404,0.10641739,0.10601726,0.10071444,0.08979878,0.07466262,0.060245585,0.050100427,0.047971874,0.055375177,0.072079934,0.09254364,0.109414004,0.11718136,0.11842393,0.11826617,0.12058639,0.1220362,0.12034147,0.11422989,0.10780985,0.102346145,0.10148132,0.10848216,0.12852965,0.15753055,0.18275978,0.1896568,0.17920302,0.16596092,0.16578585,0.17651884,0.18514113,0.1790052,0.1609605,0.14126879,0.13089712,0.13228248,0.14238244,0.15661992,0.17561628,0.20329152,0.24061233,0.2761229,0.29428318,0.28623232,0.26396808,0.24564637,0.24321906,0.24775012,0.24483049,0.22548665,0.19522353,0.16368876,0.13614167,0.111716546,0.08689023,0.062441755,0.042402804,0.033635523,0.038463145,0.052507717,0.064915635,0.06622236,0.05461411,0.036449492,0.020294813,0.010767222,0.0073953937,0.007332279,0.009073103,0.013549034,0.023384795,0.038364198,0.053889107,0.061436146,0.057421118,0.04669221,0.042506978,0.054742694,0.08299538,0.11461661,0.13525735,0.13679206,0.12159696,0.09641864,0.06959267,0.0484256,0.042282123,0.059586782,0.101955056,0.15832053,0.20651017,0.22793853,0.21694024,0.18493171,0.14685087,0.115786284,0.095198095,0.08395513,0.07497451,0.0648661,0.057253525,0.068606056,0.1182644,0.21379465,0.33575264,0.44229805,0.4940789,0.48071995,0.42492473,0.36076176,0.3088849,0.26954487,0.23553611,0.20718898,0.19473304,0.20678592,0.23648085,0.2635549,0.2648768,0.23345524,0.17961009,0.12892382,0.10612296,0.123313166,0.17070568,0.22127111,0.24940284,0.24608202,0.22261597,0.19825661,0.1899516,0.20715378,0.2511066,0.30970445,0.359574,0.3736601,0.34155193,0.27434072,0.19873445,0.13621019,0.09422205,0.06853507,0.054730248,0.05636279,0.08606147,0.15530775,0.25994506,0.37241197,0.45681038,0.49287963,0.4880941,0.46317983,0.43120483,0.39162955,0.34250304,0.29273638,0.25845584,0.25042072,0.2611406,0.27263618,0.26827803,0.2515081,0.23635946,0.23845996,0.2534009,0.26720902,0.26260063,0.24016394,0.2128352,0.20052333,0.21225189,0.2430752,0.27859274,0.3059367,0.31663236,0.30798593,0.2826136,0.25720468,0.25177887,0.27958763,0.32850006,0.37584695,0.39958826,0.3951261,0.36534607,0.3229479,0.28586194,0.27700412,0.3052269,0.35454777,0.39366278,0.397657,0.36701462,0.3151784,0.26065338,0.21224533,0.17983854,0.16599657,0.16885002,0.1727405,0.16468191,0.14387523,0.13000804,0.14591026,0.19950671,0.27612916,0.3505515,0.40295008,0.4264057,0.4233571,0.40341964,0.3774461,0.3586068,0.35041165,0.3495742,0.3409284,0.3166162,0.27697304,0.23746805,0.20888843,0.19577114,0.19360228,0.20186077,0.2191817,0.24051952,0.25342134,0.25234038,0.24123907,0.23383981,0.23521055,0.2439692,0.25199673,0.25727645,0.2600674,0.25924394,0.2521989,0.23837852,0.22857033,0.23321354,0.25561115,0.28366658,0.30450308,0.31390536,0.31565282,0.31345913,0.30488038,0.2911702,0.27571738,0.26502395,0.25688097,0.24825247,0.23604615,0.22610068,0.22264384,0.22802186,0.23462693,0.23928928,0.24189894,0.25247172,0.27054045,0.2888991,0.2919669,0.27760217,0.2546125,0.23880045,0.23876047,0.25358695,0.27689424,0.30205867,0.32325056,0.33464083,0.32879236,0.30517492,0.27064964,0.24087198,0.22492252,0.22183496,0.22104521,0.21534973,0.2054257,0.19541256,0.18755184,0.18036513,0.17392112,0.16966134,0.16855879,0.16928719,0.16820459,0.1630371,0.15294807,0.1415116,0.13685888,0.15072028,0.1922137,0.25662675,0.323511,0.3656025,0.36923945,0.34137413,0.30327192,0.27203038,0.2542587,0.2445628,0.23623876,0.22403945,0.20942406,0.19550665,0.18362196,0.1731988,0.16442157,0.16548724,0.18529731,0.22866118,0.28415206,0.33155906,0.350166,0.33446363,0.29461506,0.25082603,0.22016688,0.20892972,0.2118695,0.2182529,0.219811,0.2143321,0.2035476,0.19043963,0.17917965,0.17965877,0.20175505,0.24411614,0.28707528,0.30699798,0.29824454,0.27534464,0.2561616,0.2447892,0.23934035,0.24241526,0.26064584,0.28957132,0.312234,0.3118086,0.2889425,0.2568867,0.23052536,0.21225798,0.20051928,0.19335896,0.19679713,0.21613856,0.25344774,0.3012153,0.34692168,0.37789738,0.38736835,0.37509218,0.34759593,0.31590378,0.2912487,0.27956137,0.27902627,0.28638288,0.29597595,0.30473173,0.30556914,0.29679787,0.27707848,0.25149047,0.22607614,0.2102846,0.21199478,0.23071162,0.25756553,0.2764819,0.279078,0.26575002,0.25006023,0.24245185,0.2470293,0.2532554,0.25165433,0.23787485,0.22393318,0.22422262,0.24825327,0.28662038,0.32067308,0.33365336,0.32444975,0.30541396,0.29323673,0.29791328,0.3158444,0.33435985,0.34111878,0.33543015,0.3240794,0.3136104,0.30129027,0.28248477,0.25736883,0.23904014,0.24224146,0.27253067,0.31429186,0.34482327,0.35039553,0.33842793,0.32307816,0.31174693,0.3016035,0.29350233,0.295609,0.31671515,0.35109767,0.38184097,0.39018726,0.3719518,0.33746877,0.30429158,0.2839762,0.2758601,0.27437523,0.2738414,0.2746673,0.2786703,0.29055318,0.31267288,0.33955657,0.35776782,0.35430086,0.3298211,0.2982158,0.2767472,0.27476522,0.28705618,0.30212638,0.31061935,0.3170092,0.32976785,0.351132,0.36957124,0.3737874,0.36122775,0.340628,0.31777677,0.29488418,0.269376,0.24509652,0.23046756,0.23478238,0.2589418,0.28866485,0.30730912,0.30249456,0.28126836,0.25415885,0.2329738,0.2191609,0.21421993,0.21969558,0.23815696,0.26890352,0.30530098,0.33870664,0.3582002,0.35791948,0.33549812,0.2987114,0.25882575,0.23214775,0.22844006,0.25019196,0.28521442,0.31651962,0.32762378,0.3146435,0.28330353,0.24724925,0.21828109,0.20330067,0.1996425,0.19934422,0.19491623,0.18912888,0.19300197,0.21818097,0.26318383,0.3123078,0.34606454,0.35422072,0.3452517,0.33232132,0.32864416,0.33397964,0.3464339,0.35604727,0.35383007,0.3335618,0.3035492,0.2804401,0.27462336,0.2805469,0.28367865,0.27494833,0.2568388,0.23848547,0.22779109,0.22699909,0.23327005,0.24070947,0.24358672,0.23918219,0.23208672,0.23060012,0.24152441,0.26024476,0.27611926,0.27816603,0.26560956,0.24539123,0.22764225,0.21990448,0.22104688,0.22604227,0.22637697,0.22257124,0.21600103,0.2111993,0.20402569,0.19393261,0.1808993,0.17113544,0.1654198,0.16278487,0.16284238,0.17093335,0.19123858,0.21846966,0.23869444,0.24130505,0.22924612,0.21736939,0.21753953,0.2291246,0.23927225,0.23832287,0.22665484,0.21421663,0.20806114,0.20965348,0.21794565,0.23255928,0.25359473,0.27399704,0.2859553,0.28216532,0.26627922,0.24542372,0.22741787,0.21326107,0.20024188,0.18596321,0.16989835,0.15219449,0.13104142,0.10634524,0.08432954,0.07942307,0.10619255,0.16633777,0.24319668,0.3097442,0.3475931,0.3540931,0.33991286,0.31628752,0.29325226,0.27962098,0.28065825,0.2946855,0.30911174,0.31473026,0.30827805,0.29794157,0.28648886,0.27449378,0.26201156,0.26044723,0.28016582,0.3182033,0.3517314,0.3580073,0.332604,0.29496095,0.26928285,0.26582372,0.27586296,0.28395274,0.2840066,0.27946272,0.27671018,0.27532145,0.27354798,0.27075502,0.2670928,0.25921273,0.24137676,0.21719337,0.19753897,0.19869824,0.22117448,0.2534144,0.27347907,0.27508214,0.26816928,0.27378646,0.29856637,0.3306916,0.34947467,0.34603825,0.32673696,0.30499652,0.28640103,0.2689967,0.24549706,0.215605,0.18461715,0.16728158,0.17513125,0.21071799,0.25876036,0.29710937,0.3105483,0.29906467,0.27318734,0.24199708,0.21078396,0.1814773,0.15923291,0.15325548,0.1716366,0.21245462,0.25776404,0.28442574,0.27691144,0.23885892,0.18782787,0.15021731,0.14698566,0.18731952,0.25700423,0.33129278,0.38424912,0.40960845,0.41227064,0.4041666,0.3885025,0.36531532,0.3335465,0.29993486,0.2744098,0.2646222,0.26563728,0.264528,0.24976216,0.22471888,0.20338325,0.19952346,0.2138967,0.23525089,0.24847503,0.24473341,0.22465892,0.19728155,0.17649545,0.17610002,0.2017542,0.24267979,0.2764594,0.28413826,0.2665125,0.24192329,0.22692566,0.2234978,0.22148949,0.22110116,0.23591693,0.2771491,0.33256578,0.36869347,0.3644464,0.3235333,0.2739945,0.23472111,0.2130261,0.20509993,0.20995845,0.22543637,0.24402094,0.25847256,0.27028283,0.28988603,0.321946,0.3530015,0.36142078,0.33370438,0.28059688,0.22768651,0.20063819,0.20506907,0.22594313,0.2406391,0.24137145,0.2372344,0.24171384,0.2527885,0.2600429,0.2536682,0.23612261,0.20902468,0.17434812,0.13490061,0.10676441,0.107598566,0.14519542,0.20335013,0.2560042,0.2809371,0.27800408,0.25881705,0.23901515,0.2244807,0.21718745,0.2207499,0.23818375,0.26955625,0.2994595,0.3139564,0.29883197,0.2625217,0.22225998,0.21285008,0.25318027,0.340921,0.43509007,0.49272585,0.4881535,0.4347609,0.36162743,0.29831305,0.25514257,0.22972311,0.21021675,0.19221364,0.17645971,0.17184655,0.18207471,0.20908982,0.24935651,0.2956879,0.33489573,0.35161552,0.33994463,0.30600002,0.264677,0.22716725,0.1974657,0.1741213,0.15393876,0.13440253,0.115398,0.103642024,0.114182286,0.1609034,0.24449237,0.34243003,0.42206395,0.45572078,0.4400871,0.39176032,0.3385178,0.2975385,0.27221254,0.25453195,0.2417674,0.23428322,0.23264037,0.2291569,0.22018808,0.21118315,0.21639508,0.24148488,0.27953613,0.3150144,0.3393167,0.34830377,0.34342313,0.322596,0.2914752,0.25699875,0.2317921,0.21986967,0.22132392,0.22852008,0.23631282,0.24097931,0.24554896,0.25397125,0.27009168,0.28815565,0.29759395,0.2877721,0.26250383,0.23515719,0.22004122,0.21716936,0.21660025,0.20588903,0.18120228,0.14507666,0.107140146,0.08030551,0.07993511,0.11021481,0.15909082,0.20179684,0.22405435,0.2313451,0.24245913,0.26659933,0.29801998,0.32152677,0.33017972,0.3239058,0.31112957,0.2936761,0.272149,0.24201949,0.2096653,0.18909712,0.19800092,0.23794468,0.28979194,0.32459155,0.32746857,0.3080739,0.28963888,0.28661478,0.2950172,0.30395666,0.30867288,0.31592104,0.32863405,0.34264526,0.34650484,0.3358394,0.31403768,0.28889123,0.26626223,0.24755049,0.23219049,0.21727347,0.20190895,0.1884241,0.18273647,0.18815033,0.20106333,0.2121007,0.21277827,0.20076151,0.18318701,0.17227948,0.17911766,0.20288987,0.23035686,0.24443913,0.23632123,0.21202095,0.18432559,0.16631913,0.16238879,0.17199397,0.18992732,0.21232535,0.23464859,0.25282997,0.26157817,0.25804165,0.24434109,0.22798626,0.21749991,0.21610723,0.2187289,0.21573049,0.19849241,0.16604052,0.12546043,0.092255406,0.08332315,0.10713818,0.15524508,0.20559353,0.23883241,0.25017822,0.24950272,0.24566217,0.24110842,0.23208636,0.22556265,0.23295344,0.26658332,0.31632838,0.3602526,0.37124953,0.34237382,0.28563613,0.22652335,0.18641375,0.17276679,0.1807396,0.19966632,0.2203473,0.2349192,0.23844753,0.23099618,0.21860802,0.20745592,0.20027022,0.19346112,0.18244864,0.16227074,0.13556124,0.114010096,0.11563956,0.14962912,0.20412302,0.25191346,0.26870155,0.25346914,0.22613019,0.2123235,0.22298618,0.2495109,0.2754768,0.29068932,0.2990142,0.30568108,0.31024718,0.30480897,0.28841156,0.26852402,0.25463873,0.24713047,0.2402976,0.22919334,0.21517067,0.20005764,0.18388136,0.1627996,0.13641386,0.1100064,0.095319144,0.10428875,0.1423884,0.20613772,0.28139308,0.3485329,0.38613653,0.38348162,0.3442887,0.28851455,0.23755805,0.20659138,0.1955082,0.19670312,0.19692624,0.18809997,0.16863583,0.14968687,0.14619865,0.16772158,0.20749132,0.24755509,0.2708126,0.2697044,0.2463548,0.2063589,0.15984967,0.12138458,0.107815646,0.12762676,0.1729002,0.22392984,0.25969708,0.2712877,0.25796998,0.22549133,0.18053924,0.13807146,0.11809661,0.13566835,0.18837176,0.25438142,0.3108722,0.34371862,0.35530463,0.3506192,0.33632374,0.31491864,0.28971225,0.2650995,0.24533321,0.23424268,0.22848655,0.22660463,0.22685988,0.23373632,0.24308006,0.24953388,0.24669088,0.24156708,0.23961987,0.24047393,0.23111643,0.20729242,0.17894395,0.16817094,0.18632065,0.22768289,0.27430487,0.31149194,0.3330001,0.33891842,0.3324648,0.31931844,0.30516443,0.2934051,0.2814156,0.26866904,0.25633085,0.25269255,0.26059654,0.2793337,0.29710877,0.30426142,0.2934174,0.26997003,0.24234803,0.2205879,0.20894903,0.2097046,0.22636984,0.25796628,0.29996797,0.3355186,0.35478422,0.35066882,0.33091342,0.2989782,0.2623953,0.22646,0.20141149,0.19182463,0.19408166,0.19711703,0.19222122,0.18066545,0.17578076,0.1924792,0.234362,0.28565696,0.32337198,0.33532438,0.32776296,0.3144257,0.29961208,0.27684975,0.2408467,0.2010734,0.179372,0.19124162,0.23213398,0.27703047,0.30237973,0.29828104,0.27424642,0.24334306,0.21685092,0.19603969,0.18077342,0.16808456,0.15947206,0.15372036,0.14927834,0.1402172,0.12598066,0.11490423,0.122415684,0.15711679,0.20857884,0.25342318,0.2726973,0.26804852,0.25640616,0.25291944,0.25872865,0.26397613,0.2599143,0.24448586,0.22251947,0.20298536,0.19573945,0.20339167,0.21514066,0.21451986,0.19798873,0.18251699,0.18909486,0.21939199,0.25210932,0.26501635,0.2537438,0.23244393,0.21587616,0.20866627,0.20635629,0.20334314,0.19689412,0.1845695,0.1650799,0.14257815,0.1309548,0.14615332,0.19295757,0.25665972,0.31245366,0.33951887,0.3337152,0.3044036,0.26799127,0.23573512,0.21219385,0.19720036,0.1931147,0.20197469,0.21991436,0.23513037,0.23675819,0.22345267,0.2040324,0.18968742,0.1876661,0.1965645,0.20818062,0.21058638,0.19724643,0.16898282,0.13444124,0.10434692,0.09351829,0.117048316,0.18279837,0.27532563,0.35793495,0.39271572,0.37052616,0.31431732,0.26037684,0.22907479,0.21953513,0.21642612,0.20702688,0.18407649,0.14937524,0.11104357,0.087134026,0.099787034,0.1614921,0.2599287,0.3581725,0.41986224,0.4317014,0.4081067,0.37144217,0.33607563,0.3072336,0.28609884,0.27471113,0.27066132,0.26958728,0.2651203,0.25541496,0.24230236,0.23030795,0.22498463,0.22904117,0.24236558,0.25717464,0.2651504,0.26046202,0.24657784,0.23012106,0.2166462,0.20765756,0.20329136,0.20352536,0.20733903,0.21233092,0.21649027,0.21765397,0.21286547,0.19981843,0.1848759,0.18486746,0.21673347,0.27826497,0.34339455,0.37891927,0.36981305,0.32765225,0.27634397,0.23496032,0.20898111,0.19673987,0.19119437,0.1865621,0.17962797,0.17604227,0.18242097,0.19818574,0.21126306,0.21017219,0.19532812,0.1775711,0.16741073,0.16920434,0.18598486,0.21942942,0.26281956,0.2976096,0.30399013,0.27854243,0.23408079,0.19033194,0.15828831,0.14593418,0.15758699,0.19702566,0.25256398,0.304533,0.33000454,0.32357964,0.2916731,0.25285757,0.22152168,0.20665343,0.20268089,0.19737853,0.1811219,0.16013306,0.15305875,0.17449282,0.21972507,0.26679495,0.2937938,0.29346868,0.27247137,0.24407898,0.22026831,0.20965074,0.21182321,0.21783906,0.21442401,0.19426203,0.16072474,0.12764761,0.112226196,0.124425985,0.16016917,0.20581937,0.25008738,0.29058608,0.32724825,0.35773548,0.37610754,0.38015208,0.36933938,0.34658352,0.31608486,0.28568253,0.2613382,0.24671559,0.24058582,0.2420122,0.24467064,0.24302603,0.2296309,0.20766228,0.18160506,0.15901081,0.1400431,0.12849969,0.13130938,0.1577649,0.20644534,0.26197883,0.30595684,0.32840863,0.33242527,0.3228434,0.30262086,0.27473593,0.24817355,0.23462932,0.23805316,0.25217214,0.264519,0.26748833,0.25976947,0.24467462,0.22533546,0.20537178,0.18977177,0.18644775,0.20038395,0.23042087,0.2633643,0.28522968,0.28620076,0.27194402,0.25194445,0.23794566,0.2337578,0.2425458,0.26134238,0.28472683,0.30005956,0.29744303,0.27274355,0.23553912,0.20277417,0.19045289,0.2011485,0.22049673,0.22933853,0.21665712,0.19137238,0.16968893,0.16676606,0.18029414,0.20005018,0.20982961,0.20753312,0.19843495,0.19476898,0.1957436,0.19484861,0.1844395,0.16809164,0.15142585,0.13670737,0.12299178,0.11650915,0.1304655,0.17334145,0.2361393,0.29637083,0.33352578,0.3417318,0.32830277,0.30475596,0.28313032,0.27083877,0.27126053,0.2764884,0.27958217,0.27495372,0.26586482,0.25179788,0.23404503,0.2149508,0.20262867,0.19982748,0.20512612,0.21320827,0.22365165,0.2324485,0.2349803,0.22832088,0.2209074,0.2259192,0.24658048,0.27247867,0.2848685,0.27591982,0.25065205,0.22527559,0.21251671,0.21420968,0.22083692,0.22049378,0.21010943,0.19558018,0.18484236,0.18056922,0.18164583,0.1875536,0.19763382,0.2075402,0.21031834,0.20113052,0.1826066,0.15891929,0.13403168,0.10946601,0.09412971,0.10321623,0.14831913,0.22093368,0.29083386,0.326897,0.31865072,0.2807748,0.23689611,0.20356785,0.18716629,0.18522476,0.19084238,0.19351427,0.18799998,0.17617737,0.16708334,0.16662122,0.175328,0.18862696,0.2017511,0.2116645,0.21599406,0.2169349,0.21850495,0.2258376,0.23523857,0.23844147,0.22750331,0.20557682,0.18236458,0.16860443,0.1666745,0.1734811,0.18135066,0.18509053,0.1810068,0.17101717,0.16005014,0.15619464,0.1632889,0.17731737,0.18647222,0.18288194,0.17225504,0.17313433,0.19867773,0.24334812,0.2827023,0.29534602,0.2752074,0.23685075,0.19896547,0.17707886,0.17287202,0.17992638,0.18596141,0.18447216,0.17453508,0.1623349,0.15180252,0.14519185,0.13932534,0.13164629,0.11951387,0.10465103,0.0929941,0.096230865,0.12405666,0.17537646,0.23072708,0.26589963,0.26707828,0.24491437,0.21999377,0.2071685,0.2035303,0.198094,0.1870525,0.17660774,0.17674838,0.1860273,0.19622917,0.1982276,0.19236642,0.18274747,0.17263003,0.16379905,0.15965481,0.1669916,0.18910201,0.22315335,0.25885832,0.28531167,0.29529026,0.28906003,0.27180317,0.24912141,0.22284174,0.1933866,0.16444653,0.14519377,0.14170538,0.15116324,0.15943946,0.15517892,0.13464326,0.10633009,0.08026411,0.066140346,0.067425646,0.08335032,0.10909102,0.14208728,0.1828766,0.2314582,0.27977178,0.31273293,0.31987444,0.30263945,0.2759014,0.2522562,0.2391448,0.2334277,0.23211218,0.23170923,0.23195134,0.23235722,0.2310186,0.22503835,0.21321626,0.19978882,0.19276111,0.19658612,0.21001326,0.2262823,0.24170633,0.25331077,0.26007077,0.2587625,0.25081894,0.2409042,0.23703384,0.24082522,0.2485872,0.25225976,0.24878265,0.23919033,0.2277195,0.2173331,0.21034618,0.20777899,0.20672907,0.19996393,0.17950153,0.14558847,0.1091095,0.08859551,0.09735498,0.13696392,0.19388802,0.2511029,0.2943242,0.31971094,0.32751626,0.32135606,0.30369127,0.2777517,0.24614322,0.211043,0.17647527,0.1485802,0.1360411,0.14252104,0.16368312,0.1871488,0.20098339,0.202677,0.20096765,0.21171153,0.24272649,0.2856793,0.31814644,0.32199886,0.29777515,0.25999612,0.22302689,0.1908322,0.16416948,0.14481631,0.13499898,0.1311636,0.12794632,0.122250944,0.11660415,0.1149228,0.12402473,0.15004851,0.19344856,0.24069731,0.27296484,0.2821385,0.28098676,0.28648877,0.3013147,0.30686155,0.28797993,0.2467704,0.20696451,0.18695043,0.18968187,0.19784127,0.19464956,0.17261875,0.13909492,0.106392235,0.086510025,0.08572283,0.102984846,0.12896246,0.15043654,0.15895176,0.15538555,0.1475152,0.14135712,0.13900457,0.13970698,0.14408648,0.15155081,0.16061465,0.1696798,0.18121779,0.1967384,0.21302398,0.22086768,0.21555512,0.20039447,0.18471503,0.17411381,0.1700475,0.17083643,0.17452861,0.17536639,0.16790114,0.15177274,0.13802391,0.13869675,0.15753168,0.18392868,0.20696062,0.22228144,0.23251104,0.23510337,0.22491832,0.2027231,0.18186545,0.17736153,0.19227052,0.21532625,0.23067379,0.22939199,0.21106905,0.18350954,0.15687276,0.14231129,0.14449517,0.16305156,0.19001849,0.21616746,0.23160362,0.2332354,0.223571,0.20983435,0.19567883,0.18195422,0.166816,0.15148337,0.1361369,0.12195621,0.11009386,0.106231265,0.11435404,0.13162066,0.14746733,0.15289706,0.14750248,0.13790624,0.12971838,0.12588716,0.12540273,0.12882173,0.13312691,0.13730416,0.13741557,0.13387015,0.126836,0.121454306,0.12152723,0.13050456,0.14509504,0.16206552,0.1755027,0.18504001,0.18733706,0.18473595,0.17730051,0.17087185,0.16549204,0.16095282,0.15138502,0.13461468,0.10964432,0.08102234,0.056204375,0.04624212,0.061419055,0.10439396,0.16747153,0.23270841,0.28378808,0.31047094,0.31395376,0.2986821,0.27150604,0.2371027,0.20107771,0.16775565,0.14260255,0.13011706,0.13384145,0.15067858,0.173021,0.1914115,0.20280874,0.20750852,0.2066785,0.19856603,0.18480414,0.17091419,0.16238326,0.15832044,0.15487725,0.1542182,0.1640479,0.18802579,0.21543424,0.22923613,0.22061653,0.19858055,0.18051589,0.177393,0.18601006,0.19443631,0.19306147,0.1805953,0.16300936,0.14863296,0.14133073,0.13971527,0.13525134,0.12206686,0.099162124,0.07771964,0.07230777,0.095122896,0.14401618,0.204349,0.25547978,0.28524718,0.29278627,0.28563333,0.2689562,0.24403338,0.21277298,0.18205428,0.16461034,0.16664022,0.18514512,0.2051242,0.21460915,0.20861733,0.19166851,0.17012362,0.15089755,0.14089458,0.14398563,0.15648086,0.1678638,0.17084111,0.16782135,0.16918097,0.18037558,0.19859488,0.21288083,0.21580267,0.20553152,0.1899019,0.18065614,0.18609846,0.20436265,0.2224785,0.2306092,0.22559978,0.2146274,0.20121114,0.18936558,0.18129158,0.18244259,0.19123279,0.19936174,0.19784273,0.18779714,0.17981718,0.18086608,0.18744405,0.18825026,0.1788203,0.16499077,0.15792465,0.16134922,0.16770913,0.166552,0.15482308,0.14282276,0.14126812,0.15300177,0.16646512,0.17134373,0.1642714,0.15373671,0.14623517,0.14565647,0.14928864,0.15605547,0.15993561,0.15576307,0.13816915,0.11380453,0.0947142,0.092483826,0.10490977,0.119865656,0.12560272,0.12061081,0.11256492,0.10790584,0.10769799,0.107729405,0.1050478,0.09989924,0.09710098,0.10566264,0.13135757,0.1739486,0.22168545,0.26289883,0.2863768,0.2885207,0.26940042,0.23660107,0.20102268,0.17107867,0.14811943,0.12855709,0.11070365,0.100129716,0.10709398,0.13987058,0.19185193,0.24330597,0.2706935,0.26698655,0.24126595,0.2104627,0.18412335,0.16638666,0.15754867,0.1553483,0.15068388,0.13537611,0.11145381,0.094790906,0.10110039,0.1314307,0.17032014,0.19909954,0.21315567,0.2217493,0.23810017,0.26151964,0.2829102,0.29116943,0.28820655,0.27680337,0.2603068,0.2359914,0.20896114,0.18554193,0.17160048,0.16293214,0.15602206,0.1490811,0.14455698,0.13825354,0.12407758,0.09815076,0.06631791,0.037894264,0.020247413,0.016802216,0.030658573,0.06392906,0.11156718,0.15972526,0.1921699,0.20311461,0.19619632,0.17919768,0.15429421,0.12541695,0.1015136,0.09674283,0.1168727,0.15285838,0.18513982,0.19763266,0.1866923,0.16105807,0.13375273,0.11730584,0.115470946,0.12406433,0.13025506,0.12779327,0.12167103,0.12762085,0.15373816,0.18903625,0.20940073,0.19531555,0.15173453,0.10209071,0.07671577,0.08861017,0.13160117,0.18068647,0.21401459,0.22121407,0.21102738,0.19625567,0.18747376,0.18615861,0.19011003,0.19346434,0.19025296,0.17850499,0.16381396,0.15565324,0.15806645,0.16602291,0.17061974,0.16717462,0.15805931,0.14773722,0.14010368,0.1356648,0.13433199,0.13352598,0.13198198,0.13046606,0.13295448,0.1421483,0.15519373,0.16655578,0.17102401,0.16839935,0.15999947,0.1487367,0.13801761,0.13053222,0.12667283,0.12253363,0.11667427,0.10978109,0.10628001,0.10544604,0.10480785,0.09950197,0.09115257,0.08453047,0.08942283,0.10914248,0.14059202,0.17136925,0.19323432,0.20296775,0.20289254,0.19331515,0.1742271,0.14803477,0.11878381,0.09256223,0.07669034,0.08385468,0.121752106,0.18686676,0.25827858,0.31457394,0.34316126,0.3467647,0.33225515,0.30775318,0.28239074,0.26627898,0.26508787,0.27319586,0.28095517,0.2801919,0.27091315,0.25336698,0.22997053,0.20440131,0.18519326,0.17711519,0.17872114,0.18248673,0.18552583,0.18871318,0.19668277,0.20726918,0.21645738,0.21823137,0.21350794,0.20598072,0.20020224,0.19623677,0.19095506,0.18110068,0.16546817,0.14468132,0.11982296,0.092044584,0.06599252,0.05057393,0.05909413,0.09831613,0.16262932,0.230206,0.27868637,0.2967317,0.29164624,0.27668,0.26099828,0.24469455,0.22695734,0.20960219,0.19621086,0.18418185,0.16726683,0.14180128,0.116730236,0.10736831,0.12415999,0.16120894,0.2014318,0.22724245,0.2303717,0.21158607,0.17838205,0.14154124,0.11410832,0.10678774,0.12309953,0.15561308,0.18947928,0.21295917,0.22351496,0.22734188,0.22780634,0.22429077,0.21284771,0.1955297,0.17708136,0.16409886,0.15853311,0.15876956,0.15903902,0.15380815,0.14238511,0.12951031,0.121774875,0.120268784,0.12073631,0.11865193,0.1132342,0.10987195,0.110869445,0.11696596,0.12033471,0.11731315,0.10559571,0.0930348,0.087608255,0.09738324,0.12093424,0.14902829,0.1665081,0.16576432,0.15157239,0.13846214,0.13331354,0.13041551,0.11688745,0.09083146,0.06474275,0.05935353,0.08550343,0.13665964,0.18955576,0.22101182,0.22256394,0.20377201,0.18084468,0.16110146,0.14388874,0.12515275,0.10718471,0.093217485,0.08715269,0.08811054,0.09371003,0.098102756,0.097672075,0.09198474,0.08732579,0.08904787,0.098262966,0.10755342,0.109986566,0.10312116,0.092813276,0.085623205,0.085229345,0.090017736,0.0969403,0.10638214,0.122714974,0.15164149,0.19057103,0.22864223,0.2502599,0.24762942,0.2239353,0.19252455,0.16827144,0.15903686,0.16175543,0.16542333,0.16125722,0.14713745,0.12683983,0.10570418,0.09127567,0.09163633,0.11067323,0.14042263,0.1669029,0.17840536,0.17452924,0.15890558,0.13626897,0.1119408,0.09710612,0.10355923,0.13323973,0.17561887,0.21341969,0.23514254,0.2348504,0.21490009,0.18060957,0.14359406,0.11404622,0.09974072,0.10003734,0.10936787,0.1177845,0.11761134,0.10500663,0.08454195,0.067029275,0.06832456,0.09916713,0.15793256,0.22639073,0.27931896,0.29837385,0.2815266,0.24158989,0.19516087,0.15521158,0.12691303,0.11247819,0.11363419,0.13359682,0.17063923,0.2151366,0.25071597,0.26726377,0.26497197,0.25257507,0.23411117,0.20914102,0.17779456,0.15033476,0.14266646,0.16366535,0.20331831,0.23749225,0.24505389,0.22516072,0.1943987,0.17371152,0.17158663,0.18280156,0.19552785,0.20171754,0.20204246,0.19946939,0.194097,0.18046822,0.15484457,0.12003269,0.08331143,0.05278754,0.03285163,0.027396599,0.03732303,0.059831727,0.08478335,0.101162165,0.10432168,0.10134536,0.102579124,0.11222742,0.12265583,0.12340546,0.109392166,0.08739587,0.070113085,0.06967317,0.08860124,0.121337496,0.15656449,0.18440871,0.19592063,0.1874697,0.1624286,0.13320069,0.11386029,0.11045735,0.11881771,0.1304152,0.1418314,0.15495515,0.17017086,0.18269788,0.18367134,0.17006652,0.14573514,0.122867815,0.112785645,0.12173054,0.14508395,0.17135984,0.1877109,0.18711108,0.17127691,0.14946198,0.13303308,0.12796783,0.13343935,0.14465915,0.15791433,0.1690168,0.17322123,0.16726553,0.15383796,0.14001511,0.13109763,0.12680931,0.121391974,0.10967457,0.09044802,0.07196117,0.06827415,0.09364024,0.14726295,0.21287434,0.26370522,0.28521737,0.27580506,0.24833204,0.21101613,0.17304735,0.1389891,0.1174725,0.11109921,0.12008991,0.13926579,0.16395788,0.18673539,0.20003949,0.19831933,0.18373366,0.16498184,0.15115963,0.14615138,0.14660595,0.14712445,0.14383255,0.13993688,0.14201926,0.15725417,0.1823902,0.20795466,0.22227497,0.2266475,0.2302496,0.24241765,0.25955847,0.269012,0.26044598,0.23510505,0.20435475,0.17932148,0.16362147,0.15446879,0.14916132,0.15002377,0.16086595,0.18337654,0.21165055,0.23860304,0.25481558,0.25809947,0.247052,0.22841398,0.2078529,0.19395983,0.18883884,0.1906433,0.18968563,0.17781049,0.15312015,0.12683122,0.11131581,0.111594684,0.11820066,0.12084777,0.115599774,0.10684957,0.09828976,0.0915781,0.09062728,0.10131163,0.12588964,0.15741749,0.18751417,0.21476698,0.24361372,0.27393067,0.2969605,0.30542073,0.30226532,0.2967864,0.29199776,0.28350317,0.2686058,0.2575773,0.26100454,0.27952588,0.29271284,0.2830597,0.24638022,0.20043766,0.16256642,0.13992377,0.12927745,0.13007344,0.15193821,0.2008031,0.26800016,0.32376197,0.3424543,0.31838787,0.27243033,0.23066406,0.2049524,0.1900161,0.17224051,0.15072529,0.1340513,0.13434136,0.14875276,0.16471554,0.17121042,0.16796136,0.16206191,0.15741272,0.15422513,0.15116034,0.1484474,0.14784288,0.1516736,0.16276412,0.17997853,0.19550441,0.19895668,0.18364687,0.15434767,0.12236143,0.103703976,0.1078084,0.13533966,0.1725746,0.20365633,0.21925044,0.22516514,0.23266643,0.25061563,0.28037545,0.31613967,0.34760603,0.36093667,0.35217977,0.32779428,0.3042504,0.2869861,0.27237794,0.24984096,0.22046208,0.18984938,0.16730821,0.15513898,0.15963177,0.18304408,0.22382915,0.2629306,0.28115174,0.26689032,0.22899286,0.18119611,0.13579504,0.099317215,0.07983706,0.08406326,0.11085827,0.14576434,0.1714154,0.17625336,0.16223235,0.13526922,0.10495093,0.0807704,0.07677322,0.10044438,0.14757998,0.19803816,0.2314927,0.23714036,0.22221805,0.20132257,0.18950184,0.1900974,0.1968913,0.19571926,0.17769617,0.14407197,0.10854045,0.085632324,0.08099388,0.08700412,0.09138396,0.0881973,0.08214899,0.081508905,0.089736104,0.10197053,0.11146187,0.11356989,0.1101711,0.104847886,0.10207335,0.1009532,0.09806252,0.08798548,0.0700841,0.047929827,0.028057404,0.016129743,0.015511752,0.028343981,0.052515667,0.08336643,0.11247459,0.13577627,0.15167819,0.16177781,0.16485274,0.15986687,0.14889272,0.13815378,0.1358551,0.14548625,0.16752279,0.19716059,0.22898833,0.2537119,0.26482424,0.25989008,0.24406113,0.22364603,0.20341007,0.18519288,0.17003757,0.1580422,0.14819719,0.14206938,0.14354186,0.15733074,0.17948705,0.20008464,0.2078261,0.20196743,0.19027054,0.18292604,0.1841415,0.19202995,0.20331796,0.21422839,0.2215414,0.22017272,0.20844595,0.18739462,0.16194433,0.13532779,0.108933605,0.083710976,0.06401881,0.05891032,0.07489359,0.10917711,0.14676322,0.17303115,0.18413152,0.18909676,0.19546312,0.20144133,0.19776976,0.1808794,0.1555814,0.13233897,0.11852956,0.1174416,0.1270131,0.14210147,0.15556808,0.16195942,0.15900637,0.14820182,0.13202779,0.11313871,0.09342242,0.07915068,0.08081528,0.108823806,0.15974435,0.2156988,0.25385028,0.2657403,0.25731215,0.24149899,0.22470488,0.20823668,0.19077997,0.17477052,0.1668256,0.17778806,0.21078418,0.25756302,0.29681435,0.31685832,0.31821552,0.31477478,0.3113748,0.3050982,0.28972402,0.2674542,0.24714255,0.23368736,0.22654903,0.21898615,0.2084573,0.19451915,0.1811087,0.17020655,0.1616771,0.15014187,0.13054231,0.1027529,0.078306265,0.07382379,0.10088518,0.1518786,0.20525408,0.23917846,0.2484987,0.24028003,0.22340673,0.20132183,0.17674948,0.1555777,0.14308865,0.14037879,0.14315231,0.14429487,0.13769317,0.12198549,0.105026476,0.098205775,0.10807846,0.12970833,0.15083441,0.16123123,0.15786117,0.14477248,0.12993135,0.12098202,0.12331024,0.13395259,0.14550112,0.14892624,0.14437507,0.13709123,0.13295399,0.13034032,0.12678461,0.1251827,0.13596715,0.1642701,0.20076026,0.22301126,0.21558078,0.18298407,0.14875905,0.13480009,0.14716087,0.17548722,0.20265548,0.21749365,0.21510851,0.20281608,0.18869974,0.18163961,0.1787199,0.17593734,0.17070563,0.16794513,0.17201708,0.18092318,0.188736,0.19089083,0.18971632,0.19226332,0.20261942,0.21972956,0.23445173,0.24093808,0.2354662,0.22088058,0.19774777,0.16923368,0.14242692,0.13344203,0.15611537,0.20862038,0.26623842,0.2983824,0.28993368,0.2513102,0.20279384,0.15882166,0.12080863,0.08817515,0.065416716,0.06462797,0.09486536,0.15216003,0.21704979,0.26531515,0.28522253,0.2815435,0.269665,0.25994337,0.25514293,0.2503514,0.24125981,0.22462185,0.20144181,0.17448206,0.1509659,0.13907659,0.14614095,0.16944045,0.19662015,0.21024676,0.20230086,0.17932367,0.15861411,0.15199976,0.1580939,0.1639009,0.16182631,0.1538627,0.15061925,0.155948,0.16790336,0.17871152,0.1847086,0.18432961,0.18217742,0.18292284,0.18966965,0.19459923,0.18621218,0.15767896,0.11927002,0.09172874,0.09130425,0.11823144,0.15571278,0.18497698,0.1933123,0.18135978,0.15633999,0.12767242,0.10409241,0.09281954,0.09943413,0.120233916,0.14363377,0.15507464,0.15050776,0.13575993,0.12002883,0.106615044,0.09660426,0.09509917,0.109190464,0.1396239,0.17339785,0.1941997,0.19284207,0.17581952,0.15655912,0.14699292,0.14956164,0.1587441,0.16561554,0.16438913,0.15609379,0.14780916,0.14684294,0.15467322,0.16529948,0.17348021,0.18108906,0.19685231,0.22241156,0.24796765,0.25683984,0.2427463,0.21132803,0.17520982,0.14247112,0.118723564,0.109176755,0.11780729,0.14108074,0.16656846,0.18202044,0.1821612,0.17186962,0.15838249,0.14884242,0.14554577,0.14808346,0.15190268,0.15358661,0.1515621,0.14793086,0.14455706,0.1428923,0.14301097,0.14392363,0.1439813,0.14279126,0.14378117,0.15214987,0.1690163,0.1880089,0.1973928,0.190004,0.16786052,0.14187203,0.12180775,0.11058995,0.10394752,0.09878708,0.0989967,0.11354778,0.14629398,0.18906908,0.22425057,0.23830414,0.22904547,0.20857863,0.18979365,0.18159239,0.17949843,0.17627437,0.16383277,0.14260493,0.11593688,0.09209757,0.079954185,0.086601794,0.10955614,0.137001,0.15557599,0.16051179,0.15564616,0.14876294,0.14371204,0.1420877,0.14148636,0.14054535,0.13742568,0.13304567,0.13080882,0.13417314,0.14570536,0.16068804,0.17410672,0.1800657,0.17995298,0.17569542,0.17099233,0.16769111,0.16754381,0.17119117,0.17629363,0.18052065,0.18035795,0.17626154,0.16821754,0.15824507,0.14616948,0.1325715,0.118461035,0.10398718,0.088793516,0.0702614,0.050659288,0.034960154,0.031881895,0.044351477,0.06840817,0.093639694,0.11070845,0.11736235,0.11691027,0.11549154,0.1154662,0.11704951,0.11774681,0.11694297,0.11761555,0.12813509,0.15684348,0.20253313,0.24923198,0.27476576,0.2666186,0.23252524,0.1915874,0.16185509,0.14790224,0.14622033,0.14933307,0.15470795,0.16403061,0.18004012,0.20178157,0.2209493,0.22974657,0.22376473,0.20879032,0.1910109,0.17714627,0.16559625,0.1554461,0.14090322,0.121483855,0.09519469,0.06839212,0.04728282,0.04125606,0.0509346,0.07165866,0.09088584,0.0996213,0.09284699,0.07455889,0.051148612,0.031099876,0.020905888,0.026934305,0.052427497,0.095025025,0.14346392,0.18507253,0.2119797,0.22755168,0.23461573,0.23441784,0.22186466,0.1989727,0.17063339,0.14744444,0.13600075,0.13967972,0.1533687,0.16693008,0.16981511,0.15855028,0.13617136,0.11001333,0.08733338,0.07713286,0.08517572,0.11233973,0.15127884,0.19373788,0.23128267,0.25703296,0.26149866,0.24193968,0.20267014,0.1588097,0.1221351,0.10286719,0.101835914,0.11757346,0.14090262,0.16424535,0.18037169,0.18743165,0.18306649,0.16772199,0.14352669,0.116343416,0.09048375,0.06765867,0.04933625,0.04139259,0.054551262,0.09510758,0.15738423,0.22320656,0.27243808,0.29463777,0.28811237,0.26010695,0.21912758,0.18168692,0.15988304,0.15856433,0.1655569,0.1670531,0.15781873,0.14556414,0.13892518,0.13642584,0.13130127,0.12017312,0.11107614,0.11230824,0.12596793,0.14296365,0.15443642,0.15522288,0.14802055,0.13695054,0.12736757,0.12173882,0.12099624,0.12300988,0.12598498,0.12789436,0.12808976,0.12414092,0.11430531,0.09861497,0.08313149,0.07768304,0.0893164,0.11764634,0.1523561,0.18292911,0.20010751,0.20363289,0.19504602,0.18029511,0.16308741,0.14662983,0.13106944,0.11417686,0.09405583,0.07004261,0.04595257,0.02739486,0.021118494,0.031572163,0.05676719,0.087369494,0.10872719,0.113310516,0.10385883,0.09292442,0.08908629,0.09373981,0.09993664,0.10143628,0.09574783,0.08687544,0.0805037,0.08015757,0.08420962,0.088865004,0.09132453,0.0918588,0.09167776,0.09214667,0.09251195,0.09142076,0.08765673,0.083971865,0.088127725,0.10773665,0.1468869,0.19838913,0.25155783,0.29022738,0.30610326,0.2955087,0.26741272,0.23310453,0.2037306,0.18300255,0.16909702,0.15822572,0.147079,0.13773338,0.13736747,0.15550922,0.19362783,0.23824234,0.26788968,0.26746503,0.23969167,0.19815485,0.15621102,0.12171533,0.102645755,0.107268356,0.13814801,0.18188353,0.21798623,0.22944434,0.21699017,0.19103472,0.16345344,0.1391557,0.11703461,0.095685504,0.073133975,0.052976366,0.04155386,0.051343057,0.08866819,0.14981534,0.21558468,0.26653394,0.290733,0.2910586,0.27278993,0.24248111,0.2060249,0.17584848,0.16140388,0.16189916,0.16502784,0.16225167,0.15851016,0.16577713,0.18657225,0.21010144,0.22279543,0.22335051,0.21799491,0.21360762,0.20696615,0.19534843,0.17799813,0.16067336,0.14574923,0.13209003,0.11758653,0.10542322,0.106306516,0.12768221,0.16669957,0.20486742,0.22522914,0.22311056,0.21264784,0.21022631,0.22265093,0.24136285,0.2527163,0.24753296,0.22824162,0.20454143,0.18711133,0.17757206,0.17119502,0.16192375,0.15218443,0.14770049,0.1525947,0.16341542,0.17689681,0.1914599,0.20955646,0.22961278,0.24938,0.2626986,0.266746,0.2575506,0.23741998,0.2087692,0.17802358,0.14910324,0.12864386,0.12066097,0.12482729,0.13212045,0.1327884,0.124497555,0.114984386,0.11241179,0.11719761,0.1211153,0.11578933,0.10096559,0.08632874,0.087558724,0.11325351,0.15842943,0.20271145,0.22649117,0.22086625,0.19208853,0.15278974,0.11701202,0.098353215,0.10469091,0.13240571,0.16469072,0.18394525,0.182671,0.1646213,0.13884084,0.114244364,0.10227167,0.10976962,0.13726616,0.17223947,0.2038302,0.22231914,0.22668783,0.21337493,0.18509938,0.14883797,0.118451715,0.10407225,0.10706499,0.12302039,0.14459576,0.16722886,0.18382859,0.19020075,0.18302256,0.16554151,0.14270492,0.1239871,0.12044849,0.1405927,0.17942323,0.2181462,0.23591761,0.22666086,0.20002139,0.17130645,0.15019308,0.14016046,0.14106998,0.15136223,0.16623014,0.17929621,0.18237536,0.17303057,0.15435337,0.13588898,0.123802334,0.119657405,0.123703755,0.1387601,0.16854882,0.20711301,0.24178068,0.25801983,0.2537431,0.23573208,0.21586023,0.19943975,0.18665475,0.17354415,0.15858784,0.14187337,0.12671901,0.11852452,0.124878116,0.14950639,0.18618168,0.21981728,0.23630168,0.23313256,0.21979022,0.20869328,0.20576207,0.20511156,0.19669716,0.17590505,0.15416817,0.14842628,0.16736203,0.19784583,0.21862328,0.21443279,0.18998013,0.15920669,0.13846157,0.13518624,0.15016688,0.1754814,0.1999302,0.21404397,0.2156431,0.20845903,0.19782199,0.18767762,0.18419664,0.19272476,0.21485835,0.24094479,0.25735584,0.2552524,0.2375992,0.21583116,0.19900061,0.18987751,0.18296225,0.17433226,0.16359675,0.1560462,0.15385477,0.15480943,0.1529898,0.14552508,0.13331223,0.12103805,0.116220705,0.13076572,0.17264639,0.23729153,0.3004662,0.3353088,0.3283747,0.29122663,0.2450334,0.20649743,0.17921938,0.1619866,0.15410547,0.15683363,0.16810977,0.18427445,0.20189886,0.22115518,0.24089341,0.25709596,0.26331317,0.2574693,0.24420428,0.23273003,0.2279635,0.22855945,0.22748585,0.22199313,0.212981,0.20758148,0.21145616,0.22800963,0.25172395,0.2716577,0.27682522,0.26563197,0.24543123,0.22685666,0.21516149,0.2081881,0.2002574,0.18875821,0.17821622,0.17569323,0.18405585,0.19781661,0.20747621,0.2071988,0.19739257,0.18378384,0.17261255,0.17066276,0.18133236,0.2030853,0.22668934,0.24197643,0.242495,0.23013367,0.21224928,0.19979958,0.2003053,0.21254073,0.22545512,0.22815038,0.21937914,0.20792627,0.20198566,0.20224433,0.20642202,0.21831463,0.24866517,0.2999076,0.3574325,0.39256993,0.3872486,0.3469615,0.29982615,0.27587545,0.28732947,0.32503438,0.36443806,0.38515654,0.3762838,0.34247288,0.29662055,0.25646225,0.23626979,0.24047022,0.2630038,0.29175934,0.31624797,0.33213648,0.3386803,0.33941868,0.33586946,0.33143997,0.32580006,0.3215839,0.31945375,0.3224068,0.32664755,0.329648,0.3264581,0.32390642,0.32502863,0.33298108,0.3342478,0.3207787,0.29090837,0.26160845,0.24810474,0.25760347,0.28569624,0.3245568,0.36502218,0.39420375,0.40099087,0.3820404,0.34648332,0.30806395,0.2804731,0.26998782,0.2760147,0.28724614,0.29429364,0.2919372,0.28781208,0.28463247,0.28269467,0.27282837,0.2542247,0.23138948,0.21583492,0.21348767,0.22123384,0.23012184,0.23257512,0.22954279,0.22860534,0.23724549,0.25617278,0.2749782,0.28327522,0.27822313,0.27020672,0.26884934,0.2756337,0.28465244,0.2912007,0.29524955,0.29544604,0.2902924,0.2779102,0.25983906,0.23665105,0.20960723,0.18372543,0.1683926,0.17150438,0.19031191,0.21317418,0.22906178,0.23644798,0.2406981,0.2419477,0.23366167,0.20874725,0.17211115,0.1362297,0.11295236,0.104427755,0.10554093,0.10878437,0.108353496,0.10223996,0.0921076,0.08270406,0.07914135,0.08401478,0.09607444,0.11099357,0.12698127,0.14759602,0.17982821,0.22466178,0.27240428,0.30978873,0.32940832,0.33537412,0.33372948,0.33442858,0.3436521,0.37013313,0.4072931,0.44586012,0.46896517,0.47300652,0.45598936,0.42547777,0.3888738,0.3521779,0.3147007,0.26998612,0.22142003,0.1783752,0.15637296,0.16015403,0.19113721,0.24329956,0.3075075,0.3654174,0.39934644,0.3992275,0.3709133,0.3299278,0.29673734,0.28545046,0.29790077,0.31860197,0.32429108,0.30121818,0.25687402,0.21459657,0.19401038,0.19722264,0.21283953,0.22718208,0.23559009,0.2382447,0.23778176,0.23620184,0.23567212,0.23983748,0.24763499,0.25542405,0.254851,0.24420597,0.2305233,0.22764127,0.2429626,0.2686548,0.28974655,0.2966043,0.29651573,0.30081746,0.3164122,0.33343148,0.3399166,0.32655644,0.2991492,0.26813784,0.24512817,0.23227179,0.22589819,0.21848631,0.20810091,0.1982938,0.19996506,0.22073472,0.2610239,0.30690932,0.33827385,0.33953705,0.310438,0.2685412,0.23573677,0.22648263,0.23441382,0.2424712,0.23566824,0.21536265,0.1939404,0.18206723,0.18105735,0.18493305,0.18967849,0.19625063,0.20869212,0.22855727,0.2511108,0.26825103,0.27271283,0.26369816,0.24762021,0.23488556,0.23401207,0.24317054,0.2529156,0.25317773,0.24368174,0.22960514,0.21569282,0.20455773,0.20177446,0.21300687,0.23401982,0.24816673,0.23909427,0.2066763,0.16964708,0.15160593,0.16429581,0.1981451,0.23106642,0.24400248,0.23575687,0.21851061,0.20572717,0.200592,0.19945417,0.19850384,0.19703627,0.19313131,0.1818084,0.16006505,0.13447829,0.12071943,0.13142747,0.16329686,0.19736002,0.21418853,0.2082904,0.18854386,0.16664088,0.14920618,0.13839085,0.13611013,0.1444831,0.16381712,0.19520314,0.23719203,0.28494498,0.32153457,0.33065036,0.30447066,0.25711966,0.20982999,0.17931694,0.16340621,0.15078054,0.13100715,0.10840886,0.096805006,0.11164444,0.1512708,0.20032202,0.23356767,0.2426246,0.23147638,0.22108334,0.22266574,0.24173705,0.2664716,0.28481224,0.28573355,0.26982862,0.24270625,0.21215235,0.18669339,0.17492406,0.1832459,0.20730098,0.23668738,0.25841463,0.2664198,0.25693002,0.23121364,0.1954156,0.16484159,0.1556067,0.17465703,0.21115847,0.24451828,0.25698832,0.24649735,0.2228471,0.19888955,0.1806749,0.16690904,0.15298687,0.13559537,0.11754539,0.108605325,0.11949601,0.15280062,0.19586699,0.23070686,0.24336733,0.23421212,0.20971416,0.17838024,0.1460482,0.12142525,0.113698505,0.12639713,0.15032391,0.16847831,0.16908379,0.15282911,0.13055448,0.11125634,0.09837193,0.088020705,0.07590262,0.059347257,0.04178317,0.031724565,0.040530246,0.074740104,0.12839133,0.18179615,0.21141338,0.20534085,0.17033221,0.12572639,0.09001551,0.07196888,0.070893526,0.08262455,0.105574556,0.13789432,0.17390804,0.20271307,0.2211091,0.23598741,0.2589793,0.28728902,0.30682957,0.3051444,0.28931534,0.27794987,0.2849554,0.30546105,0.32369688,0.32656702,0.31315935,0.2898178,0.26424798,0.23995723,0.21981782,0.20212114,0.18569101,0.16513598,0.13990618,0.109288745,0.079459615,0.05847779,0.058786426,0.08606293,0.1338002,0.18086505,0.20615798,0.2037481,0.18973036,0.18850149,0.21223275,0.2498314,0.27766564,0.2819399,0.26856127,0.25479677,0.24904887,0.24726506,0.2388442,0.2227668,0.20631504,0.20056729,0.20619364,0.21516599,0.21600004,0.20746697,0.19745211,0.19622983,0.20367146,0.21082431,0.20764935,0.19479264,0.18052457,0.17376553,0.17367953,0.1751715,0.17194124,0.16423023,0.15236486,0.13903981,0.1253386,0.114723526,0.10783108,0.10319472,0.09660239,0.085346185,0.07066417,0.0584915,0.058285724,0.076492295,0.11110287,0.15142351,0.1845466,0.20536326,0.21373497,0.21466048,0.20870686,0.19833054,0.18376122,0.16840243,0.15323682,0.1386814,0.12539367,0.119268835,0.12875105,0.15639794,0.19183107,0.21916534,0.22818084,0.2202329,0.2016037,0.17873012,0.15748906,0.14391445,0.14130522,0.14771523,0.15808207,0.16716851,0.17165215,0.16904269,0.16009255,0.14821461,0.13929546,0.13553415,0.13451646,0.1308196,0.12200893,0.110613614,0.10110539,0.09581041,0.09237156,0.08723172,0.07918355,0.07321569,0.07617557,0.091230035,0.112864055,0.13206325,0.14254974,0.1436965,0.13693966,0.12396025,0.10852331,0.09675614,0.09290669,0.09450847,0.09393688,0.08506564,0.06820127,0.0513228,0.045848746,0.06186231,0.09956568,0.14747292,0.1868381,0.20518984,0.20303488,0.19084394,0.17761123,0.1649604,0.14861484,0.12551896,0.09678727,0.06971174,0.053804178,0.057348114,0.07841394,0.105264686,0.12231946,0.12413409,0.11579763,0.10594326,0.09530657,0.08023484,0.05965942,0.04101954,0.034601808,0.046076234,0.071429364,0.099251956,0.11751994,0.12022189,0.10949645,0.093172856,0.08058325,0.07852075,0.08835434,0.10525259,0.12185526,0.1325135,0.13600029,0.13415128,0.12975375,0.12534086,0.121398665,0.117099024,0.11075312,0.10294301,0.09595805,0.09157937,0.08890032,0.08397696,0.07372566,0.058997434,0.047428604,0.050921768,0.078337334,0.12821186,0.18647929,0.23520501,0.26154724,0.26431134,0.2493393,0.22748826,0.20768142,0.1967802,0.19205733,0.18661197,0.17301838,0.15264021,0.13191137,0.11533091,0.10226747,0.09027729,0.08430296,0.09200734,0.11727957,0.14993294,0.17486532,0.18135111,0.17187941,0.15365939,0.13166486,0.10593385,0.07737346,0.051265556,0.03476877,0.03239503,0.044273973,0.067571975,0.10020408,0.13788901,0.17502122,0.20146148,0.21161051,0.20426482,0.18615122,0.16218726,0.13525054,0.10459125,0.07289167,0.046709746,0.035283644,0.04539758,0.076676466,0.12066529,0.1624694,0.19012718,0.19936813,0.19491094,0.18259752,0.1654216,0.14415263,0.121479176,0.10407045,0.09979668,0.112121046,0.13638775,0.16007583,0.17188542,0.1662016,0.14630589,0.1175259,0.08780386,0.06618092,0.062951654,0.08154596,0.112645306,0.13962604,0.15056941,0.15060155,0.15141833,0.160542,0.1694571,0.16707961,0.14747968,0.117554344,0.0890206,0.07262647,0.07188278,0.0806488,0.087340094,0.08219596,0.06592137,0.049492043,0.04847412,0.07222805,0.11586151,0.1610164,0.18690424,0.18660657,0.16889276,0.15017591,0.13706206,0.12859876,0.12174621,0.124437116,0.14454563,0.18223743,0.2203902,0.24290533,0.24482639,0.23825373,0.2340768,0.23366773,0.22894706,0.2152227,0.19625445,0.18041833,0.17180645,0.16697533,0.15905769,0.14579432,0.13440847,0.13738579,0.16458656,0.21143202,0.26210457,0.2947332,0.2991105,0.27592584,0.23732919,0.1921406,0.1469221,0.10514609,0.07753862,0.07999152,0.12435029,0.20124345,0.27809808,0.31825808,0.31113854,0.2789655,0.25730982,0.2616124,0.28143516,0.29239812,0.2813563,0.24962352,0.2127248,0.18497409,0.17576648,0.17985018,0.18736698,0.18812914,0.18174005,0.17002301,0.15422261,0.13223359,0.10484023,0.079441205,0.069069,0.08555641,0.12825735,0.18028039,0.21671633,0.22463536,0.21168834,0.1978436,0.19419767,0.19626147,0.19064973,0.1710269,0.14168277,0.11483747,0.09979739,0.09961594,0.1085202,0.11957585,0.12652534,0.12924127,0.12778732,0.123500876,0.11369925,0.09752164,0.07502471,0.052196745,0.0366858,0.036937065,0.05484268,0.08415934,0.11105249,0.1246863,0.12514669,0.1224164,0.12537523,0.13218778,0.1347294,0.12736385,0.11349472,0.099254794,0.08846987,0.081023745,0.07753382,0.079481326,0.08803484,0.10146286,0.11747265,0.13148843,0.13779302,0.12963484,0.108025976,0.0832931,0.071564116,0.08028816,0.10255241,0.120524555,0.12213239,0.11012897,0.10264047,0.11568519,0.15267183,0.19607566,0.22404765,0.2207693,0.19335927,0.16075738,0.14415823,0.14872299,0.16734755,0.18857278,0.20684917,0.22044982,0.22667976,0.22011441,0.19811451,0.16400145,0.12723394,0.09685674,0.07783562,0.06983125,0.072081506,0.08500651,0.10855118,0.13721482,0.16168453,0.17377679,0.1707021,0.15539539,0.13452168,0.11890144,0.11736437,0.1317107,0.15338682,0.17158295,0.1817746,0.18533094,0.1846116,0.17654215,0.1587292,0.13401903,0.11466152,0.113256,0.1324716,0.1605755,0.1800847,0.18139768,0.16681933,0.14664678,0.13021335,0.12403675,0.12896782,0.14111142,0.15123017,0.14978646,0.13244115,0.10413731,0.07817245,0.06799359,0.07893196,0.10404318,0.13022129,0.14761706,0.15445364,0.15472776,0.15255426,0.15073748,0.1500537,0.15037833,0.14943409,0.14754009,0.14619374,0.14900744,0.15306692,0.15376805,0.14577697,0.1325175,0.12085807,0.117360584,0.11948957,0.11937893,0.11136689,0.10028225,0.09691521,0.10705153,0.1236431,0.13355356,0.130307,0.122304626,0.1241143,0.14424215,0.17541862,0.20297419,0.21280551,0.20158029,0.17371042,0.13985896,0.10913437,0.08711391,0.0747399,0.07265828,0.08027957,0.094166465,0.10525707,0.1056399,0.09251962,0.071663775,0.0516957,0.04157052,0.04558065,0.06214938,0.08247351,0.0953599,0.09314079,0.07643554,0.052553583,0.030316556,0.015089687,0.0072859824,0.004447397,0.0037693188,0.0036889892,0.0036635054,0.0036464678,0.0036402594,0.0036355453,0.0036212488,0.0036001466,0.003581982,0.0035732624,0.0035669592,0.0035501102,0.0035139525,0.003465603,0.0034222892,0.003400081,0.0034041293,0.003429441,0.003473877,0.003535401,0.0036126552,0.003686324,0.0037344021,0.003736335,0.0036962281,0.0036328137,0.0035716963,0.003529286,0.003506324,0.0034969666,0.003492486,0.0035015747,0.0035461758,0.0036800953,0.0039541684,0.0043938854,0.004907333,0.0054096696,0.0060653784,0.008968096,0.018543078,0.04087169,0.07606498,0.11558905,0.143431,0.15176924,0.1451909,0.13833492,0.13797896,0.14133865,0.14016527,0.13294014,0.12363726,0.11653934,0.11111926,0.10230896,0.086456574,0.063726805,0.039965358,0.0209514,0.009810142,0.005029597,0.0037375086,0.004342278,0.008310891,0.019882964,0.04252559,0.074869625,0.1089162,0.13383703,0.14261305,0.13406166,0.112741105,0.084204055,0.056275714,0.036056284,0.030433103,0.039567403,0.05707583,0.07066619,0.0730069,0.066814184,0.0659121,0.08028986,0.10769206,0.13018773,0.13198511,0.109039985,0.075393386,0.048912387,0.043115854,0.05839595,0.0869798,0.11647705,0.13793063,0.14616786,0.14067078,0.12239221,0.096439034,0.07102855,0.055115957,0.05089183,0.053107455,0.054834593,0.056252655,0.06420057,0.08393347,0.11133647,0.13554694,0.14795344,0.14776324,0.14016163,0.13028874,0.12101299,0.11225444,0.10396844,0.0965935,0.093630046,0.09758731,0.10831424,0.1185809,0.12113743,0.11255335,0.098819494,0.08777896,0.083215475,0.080790915,0.07329666,0.058348972,0.041120533,0.031730402,0.037882935,0.05864693,0.08522456,0.10567149,0.114919595,0.11443845,0.109197736,0.10027034,0.08611407,0.06643915,0.04455163,0.025764717,0.013140214,0.006770106,0.004434403,0.004730993,0.008528336,0.01949911,0.040429145,0.069819175,0.099648386,0.12069634,0.12769964,0.12279048,0.11144864,0.09855146,0.08640891,0.07620145,0.06970832,0.06816251,0.071091175,0.07472792,0.07464999,0.06777527,0.05469349,0.038595177,0.023641443,0.012856446,0.006894724,0.004596978,0.004057742,0.0040549897,0.004062807,0.004038136,0.0039982316,0.0039749686,0.003993735,0.004073665,0.004220193,0.004396234,0.0045240987,0.0045188298,0.00437732,0.004193932,0.0041203634,0.0042449175,0.00463016,0.0064282566,0.012711977,0.029170858,0.059073042,0.10009422,0.13981588,0.16443081,0.16350214,0.14002047,0.10473901,0.074219435,0.05928913,0.062209275,0.0736347,0.080312245,0.07376719,0.05556797,0.034354143,0.01790514,0.0093773585,0.008351102,0.014519853,0.02970156,0.05437203,0.08735344,0.12019219,0.14471324,0.1508686,0.1391262,0.112641476,0.08181873,0.05248292,0.030169448,0.015357066,0.0076893307,0.0046193744,0.0038589183,0.003799051,0.004558291,0.008185624,0.01853953,0.037743133,0.06311571,0.08600088,0.09899434,0.10111878,0.09836519,0.09506565,0.08978146,0.077922404,0.058833178,0.037547097,0.020813165,0.0135956975,0.018892052,0.038430236,0.070533566,0.1072559,0.13668257,0.14947622,0.14562775,0.13306685,0.120423585,0.10967056,0.09615409,0.076005265,0.05160421,0.032254014,0.027662447,0.043726873,0.07757553,0.11796492,0.14766254,0.15549533,0.14322822,0.12597254,0.11662253,0.118076004,0.122174226,0.12199095,0.11580733,0.1080938,0.105332255,0.112839215,0.13097046,0.15235348,0.16797073,0.17363273,0.17253779,0.16801123,0.15858115,0.14166297,0.120474406,0.10549452,0.10482285,0.11617872,0.12698537,0.12523277,0.10910954,0.08823181,0.07677492,0.082029685,0.10027204,0.11793379,0.12409762,0.116175584,0.10148567,0.0877812,0.07901892,0.07435876,0.07166478,0.06951979,0.06712201,0.06440935,0.06039303,0.053924147,0.044236705,0.033483345,0.02537745,0.022463776,0.023635508,0.025483465,0.025686564,0.024368897,0.023397699]