[0.05314909,0.051807616,0.04918338,0.048210442,0.05562139,0.078238375,0.11902591,0.17247204,0.22852628,0.27489576,0.30246612,0.30417326,0.27984706,0.23820542,0.19931956,0.18513252,0.20692687,0.2565792,0.31189096,0.35197878,0.36833343,0.36628172,0.3551885,0.34242916,0.33091545,0.32279268,0.31950566,0.3210155,0.3243983,0.3259098,0.32361707,0.3186544,0.3139478,0.31210312,0.31413618,0.31879997,0.32339454,0.32437882,0.319307,0.30700216,0.28835356,0.26545557,0.24190181,0.22136857,0.20652904,0.19748949,0.19283025,0.1915829,0.19491474,0.20330882,0.21281286,0.21359158,0.19796066,0.16886313,0.14352103,0.14085618,0.16837926,0.21423559,0.25860527,0.28537023,0.29143238,0.2817385,0.26635143,0.25552717,0.25806677,0.2751492,0.2994518,0.3200723,0.3302072,0.3292931,0.31806374,0.29627034,0.26439694,0.22818708,0.196918,0.17828639,0.17337328,0.17738819,0.18410568,0.19105963,0.20071603,0.21792658,0.24492685,0.27859685,0.31133747,0.3351477,0.3464729,0.34754214,0.34436786,0.3415958,0.34062025,0.34058034,0.3417138,0.34492707,0.35036314,0.35516563,0.35640773,0.35221007,0.34373224,0.332401,0.31991205,0.30729344,0.29518822,0.28409544,0.27457702,0.26982385,0.27342954,0.287509,0.30807915,0.3280941,0.340816,0.34370026,0.3366963,0.32058108,0.2976483,0.2732388,0.2553276,0.24792789,0.24678738,0.23895961,0.21345113,0.1689322,0.11677778,0.071081854,0.04068328,0.02495362,0.01869762,0.01653613,0.015502947,0.014430284,0.013005647,0.011316344,0.009503078,0.0077953762,0.006274343,0.005011024,0.003962484,0.0031158782,0.002412251,0.0018309463,0.001458234,0.0016750377,0.0031819262,0.0065864543,0.011729472,0.017194517,0.020928273,0.02226161,0.024588304,0.036278967,0.06706062,0.12040365,0.18786295,0.25154307,0.29506457,0.31333068,0.31388903,0.3088858,0.306924,0.31027353,0.31793556,0.3292366,0.34456345,0.36380443,0.38472328,0.40366367,0.41704848,0.42291012,0.42024544,0.40921617,0.39084658,0.36789313,0.34246495,0.31509304,0.28538045,0.25655165,0.23663335,0.23413204,0.2507907,0.27875713,0.30522874,0.32020774,0.32195225,0.31581473,0.30917346,0.30506346,0.30092263,0.29095975,0.27164003,0.24401827,0.21289624,0.18422185,0.16317631,0.15505922,0.16375406,0.18968995,0.22617422,0.26201418,0.28673276,0.29555485,0.28855428,0.26681998,0.23167579,0.18781441,0.14736561,0.12782072,0.14167546,0.18687184,0.24406724,0.2906861,0.31386772,0.3179901,0.31475508,0.31348476,0.31599143,0.32007787,0.32464403,0.33049834,0.33975258,0.35172275,0.36307487,0.36847314,0.36579347,0.35621205,0.34268156,0.32411048,0.29582798,0.25375423,0.20232283,0.15579034,0.13181263,0.13905083,0.1707597,0.20855252,0.23617707,0.24850453,0.2516552,0.25319365,0.25561,0.25610554,0.25165486,0.2423752,0.23113535,0.22131187,0.21505176,0.21247886,0.21224453,0.21239074,0.21170788,0.21001625,0.20780687,0.20622145,0.2071684,0.21168016,0.21727936,0.2159573,0.19955935,0.1655054,0.12159426,0.07972295,0.04926537,0.0314415,0.022419835,0.017410303,0.01394434,0.011381201,0.009670552,0.008618203,0.0081207445,0.008527196,0.010569476,0.014662873,0.02018173,0.026096387,0.03284012,0.04429468,0.066533245,0.10447302,0.15846841,0.22301066,0.2882991,0.34190062,0.37465104,0.3839071,0.37659803,0.36342773,0.35393754,0.35106567,0.35244748,0.3528795,0.34884524,0.3401138,0.32925275,0.31869635,0.30929852,0.3014022,0.2963523,0.2965608,0.30296925,0.3142749,0.32751283,0.3399574,0.34947708,0.3545971,0.35494003,0.351545,0.34627223,0.3406589,0.33542407,0.33075285,0.32647276,0.32239756,0.3187255,0.3161955,0.3154805,0.31639737,0.3186649,0.3222951,0.32772633,0.33356214,0.33775198,0.33826324,0.33565363,0.3303183,0.32293534,0.31471744,0.3101856,0.31443092,0.32854858,0.34750614,0.36341226,0.37138963,0.3711116,0.36531618,0.35594058,0.34373066,0.32805774,0.3103921,0.29475537,0.2875822,0.2923042,0.30644694,0.32308236,0.3355882,0.34184432,0.3425564,0.33994806,0.3355939,0.33128425,0.32858646,0.3283457,0.32994965,0.33128014,0.3302652,0.32646236,0.3212099,0.31593466,0.3099891,0.30152687,0.28962946,0.27614418,0.2644299,0.25749072,0.25758234,0.26565257,0.28083107,0.2985568,0.31275412,0.31810203,0.31264272,0.2975266,0.27759945,0.26090634,0.2564299,0.2687033,0.29624555,0.33111605,0.36350504,0.3822026,0.38108602,0.36164832,0.33500925,0.3134899,0.30334818,0.30314615,0.3086863,0.31743512,0.3270646,0.33436775,0.335983,0.33190754,0.3252847,0.32019377,0.31838003,0.3188683,0.31845,0.3133142,0.3000963,0.2769408,0.24369258,0.20327282,0.16311748,0.13636386,0.13563664,0.16549562,0.21589386,0.26863596,0.30640018,0.32192513,0.31760675,0.30280963,0.28748444,0.27810287,0.27545202,0.27988422,0.29361662,0.3199669,0.35449448,0.385619,0.40004814,0.39383408,0.3725983,0.34718284,0.32551384,0.31076702,0.30165628,0.29641202,0.2935674,0.29211095,0.28924182,0.2819786,0.2713573,0.26495314,0.27196285,0.29260933,0.31450322,0.32218584,0.3121172,0.2970997,0.2943348,0.31098786,0.3395466,0.3653327,0.37549207,0.36291644,0.32763577,0.27676004,0.22507243,0.18971066,0.18232329,0.20190035,0.23563778,0.26790923,0.28876016,0.2978536,0.29993203,0.30092636,0.3037304,0.30772826,0.30808398,0.29967204,0.28200093,0.2621168,0.24987596,0.25032845,0.2603247,0.27300557,0.28375515,0.29198757,0.29703188,0.29529354,0.28087056,0.25171292,0.21387647,0.18207555,0.17093499,0.18611322,0.21910797,0.254548,0.2795824,0.29086742,0.29211012,0.28984034,0.28876373,0.29046997,0.2926595,0.2922916,0.28819874,0.28342927,0.28210664,0.28703794,0.29646018,0.30550942,0.30741146,0.298151,0.277235,0.24739772,0.21145284,0.17373134,0.14251257,0.13015623,0.14534724,0.18505575,0.23261721,0.26816425,0.28050616,0.27367654,0.26078364,0.25369146,0.25537202,0.2602133,0.2606499,0.25304833,0.24016821,0.22741967,0.21884935,0.21479571,0.21302028,0.21084292,0.20639175,0.19937705,0.19035672,0.18098943,0.17410679,0.17481409,0.18633175,0.20554757,0.2189052,0.21212126,0.17942178,0.13154404,0.0848752,0.05216177,0.03433121,0.026739562,0.023777923,0.022858547,0.022446215,0.022105278,0.022665923,0.028505117,0.0455372,0.07952618,0.1293682,0.18779045,0.24165185,0.2812853,0.301627,0.30452254,0.2947006,0.28104904,0.2733915,0.27823424,0.293437,0.31079578,0.3224268,0.32604468,0.32385564,0.32002982,0.31851503,0.32183284,0.32964516,0.33878168,0.34563985,0.34847394,0.3476136,0.3440924,0.3381336,0.32886186,0.3141109,0.2931228,0.26896426,0.24968837,0.24509542,0.2629206,0.30708304,0.3725592,0.4430318,0.49196133,0.5001661,0.46785513,0.41524985,0.36477685,0.32900932,0.31043875,0.30770853,0.31865677,0.3379828,0.35923135,0.37743402,0.392269,0.4049419,0.41546798,0.42009032,0.41427603,0.39579085,0.3687357,0.3412912,0.3224477,0.3166863,0.32355282,0.33789977,0.35288915,0.3623974,0.36423656,0.36091113,0.35857162,0.36424184,0.3838235,0.41924986,0.46500096,0.5056517,0.5217927,0.50207216,0.4535344,0.39631104,0.35020268,0.32250726,0.31072757,0.30883685,0.31301627,0.32012084,0.32753477,0.33375713,0.34033108,0.35085985,0.36756802,0.38734993,0.4016463,0.4009193,0.38187066,0.35027465,0.31876168,0.29939917,0.29687762,0.305215,0.31040227,0.30037022,0.27408144,0.24532415,0.23335616,0.25170735,0.30060768,0.370091,0.44303155,0.49920523,0.5190582,0.49603286,0.44171825,0.38186225,0.33846447,0.31999227,0.3215103,0.33376908,0.34908482,0.36245707,0.37177995,0.3771198,0.3809122,0.3848088,0.38862136,0.3879453,0.37809765,0.3561428,0.32671174,0.29842296,0.28067818,0.2758979,0.28084636,0.28930688,0.2976739,0.3050511,0.3113987,0.31448218,0.3104535,0.29952034,0.29154694,0.30509296,0.35129547,0.4203141,0.4806049,0.5036784,0.48359945,0.4412308,0.40561703,0.398554,0.4243207,0.46819007,0.50082296,0.49516204,0.4457384,0.3728746,0.30721793,0.26897156,0.2622236,0.27886263,0.30790436,0.33690214,0.35767543,0.3657888,0.36376426,0.35562468,0.3470992,0.34127152,0.33966008,0.3404731,0.341872,0.34253946,0.34323907,0.3469247,0.36045584,0.39295933,0.44627222,0.5065143,0.5466526,0.54691976,0.51058275,0.4608852,0.4207046,0.39716694,0.38434973,0.37397167,0.36381397,0.3564467,0.35585657,0.3642311,0.38127676,0.4044157,0.42850152,0.44464102,0.44137716,0.40924647,0.34892043,0.27259395,0.19942911,0.14483,0.11625946,0.11274602,0.12838264,0.15318559,0.17581803,0.18731713,0.18649222,0.18263163,0.19441076,0.24094196,0.3260397,0.4279653,0.5077234,0.53658295,0.51550716,0.4708197,0.4300773,0.40567687,0.3954585,0.39223292,0.39025557,0.38628694,0.37983933,0.37286708,0.36909673,0.37199306,0.38239166,0.39504102,0.40038332,0.38946745,0.3631117,0.3302311,0.30245125,0.28445813,0.2753855,0.27185062,0.27222112,0.2749684,0.27735317,0.27551794,0.26784635,0.25966644,0.26547027,0.30231515,0.37298313,0.45426092,0.5059705,0.5011699,0.44662902,0.37581512,0.32057294,0.29290286,0.28653398,0.289753,0.29375422,0.29506543,0.2942123,0.2945377,0.29984286,0.3133342,0.33427203,0.35511908,0.36119655,0.33849669,0.2846574,0.21261613,0.14355154,0.0938643,0.069319315,0.06536828,0.07313896,0.08307644,0.08917817,0.08986131,0.08997088,0.10070765,0.13951348,0.21898846,0.332921,0.44795808,0.5224549,0.53438514,0.4982632,0.45050505,0.4242731,0.43392444,0.47429958,0.526359,0.56366587,0.56568384,0.53019494,0.47449923,0.42341825,0.3941648,0.39085105,0.4044446,0.41984454,0.423118,0.41089317,0.38940898,0.36880347,0.35456443,0.3479707,0.34846833,0.355615,0.36714292,0.37797478,0.3821073,0.3760332,0.36366764,0.35858688,0.37863457,0.43048158,0.4973464,0.5460142,0.5520561,0.5185965,0.47093466,0.43371966,0.41581765,0.41135314,0.41086152,0.40838122,0.40293756,0.39569366,0.38805175,0.3820356,0.38115108,0.38814822,0.39905295,0.40213084,0.38484612,0.34561697,0.29567692,0.2514948,0.22312164,0.21194862,0.21385635,0.22378181,0.23681575,0.24925606,0.2612106,0.27733278,0.30511808,0.3505739,0.4130907,0.48176625,0.53497297,0.5520434,0.52603096,0.47210017,0.41535473,0.37678543,0.36204135,0.36680093,0.38200977,0.4004428,0.41652784,0.4283018,0.43642816,0.443898,0.4532313,0.46351492,0.46888748,0.460531,0.43288305,0.38749385,0.3320112,0.27541712,0.22557245,0.19000538,0.17526133,0.18349518,0.20914221,0.2412678,0.2703092,0.29418966,0.3189964,0.35449597,0.40566373,0.46517292,0.5125333,0.5247267,0.49297786,0.42923388,0.35882238,0.30277988,0.27078927,0.2616122,0.270484,0.29047284,0.31371877,0.33253035,0.3433335,0.34865764,0.35511884,0.36742035,0.38284525,0.39184442,0.3850737,0.36157346,0.3285011,0.29473135,0.26383707,0.23677097,0.21638407,0.20890503,0.21710552,0.2362599,0.256528,0.271448,0.28416684,0.30693564,0.35175732,0.41574308,0.47565874,0.5000386,0.47530508,0.41587952,0.35578454,0.3246403,0.33929375,0.39514288,0.46829763,0.5180082,0.51412886,0.45761225,0.3827611,0.32816687,0.31296274,0.3313062,0.3655233,0.39735702,0.41582623,0.4190729,0.41330937,0.40574768,0.39953864,0.39334372,0.38545612,0.37607267,0.36730242,0.36149907,0.3608661,0.36682424,0.38141343,0.4076048,0.4475682,0.495752,0.536393,0.5498998,0.5286777,0.48331547,0.43624067,0.40478143,0.39396062,0.39723945,0.40474012,0.40734115,0.40024626,0.38308534,0.36092696,0.34212732,0.3360412,0.34604,0.36591455,0.38064042,0.3768452,0.35070884,0.30843744,0.2599123,0.21396582,0.17977972,0.16523404,0.17389648,0.19976331,0.23139696,0.25764135,0.27526426,0.2898287,0.3149407,0.3620731,0.42938772,0.49413744,0.52679974,0.5125884,0.46531144,0.41375697,0.38032636,0.36817536,0.36823568,0.37038103,0.36992237,0.36734495,0.36520752,0.36704245,0.3744292,0.38824245,0.40534076,0.42030868,0.4241266,0.41239253,0.3874512,0.35934553,0.33619466,0.31987226,0.3059502,0.28911224,0.26655927,0.23804356,0.20695461,0.17918426,0.16393913,0.17075829,0.21014088,0.28491417,0.38316667,0.4725019,0.51866174,0.5069318,0.45465267,0.39423862,0.35121349,0.33215815,0.3304819,0.33614993,0.34168318,0.34379423,0.34304368,0.34239742,0.34498182,0.35230073,0.36151162,0.36479273,0.35041103,0.31124118,0.25041986,0.18271057,0.12519458,0.089012854,0.07517352,0.076981686,0.08512047,0.09177514,0.09389046,0.09182724,0.09039996,0.09941172,0.13688165,0.21572697,0.3292648,0.44047984,0.5076165,0.51183325,0.47409332,0.43279266,0.41921243,0.44237688,0.4920204,0.5452361,0.5751427,0.565851,0.5219931,0.46600226,0.42101988,0.39824548,0.39425862,0.39852977,0.39953804,0.39143357,0.3742359,0.35337386,0.33375463,0.31870493,0.30965012,0.30761078,0.3124968,0.3218521,0.33189908,0.3382808,0.33833086,0.33048382,0.3149555,0.292387,0.2647178,0.23485874,0.20705064,0.18502708,0.17060345,0.16299231,0.15994175,0.15918964,0.15901043,0.1582396,0.15611088,0.15268044,0.14877622,0.14606662,0.14631616,0.15104622,0.15918149,0.16727012,0.16978295,0.16434848,0.15223473,0.13856544,0.12696972,0.118745856,0.11221077,0.105848975,0.09928013,0.09387574,0.091378085,0.09267313,0.097381614,0.10384682,0.11045157,0.11576972,0.11986085,0.12330648,0.1274556,0.13302624,0.14032431,0.1490885,0.15957756,0.17362356,0.19358118,0.2202727,0.25017476,0.27742904,0.29699323,0.308332,0.313866,0.31628308,0.31567976,0.3105887,0.30012867,0.2861317,0.27215695,0.2609214,0.25184172,0.24172173,0.22771753,0.21030222,0.19305433,0.17986672,0.17183731,0.16713591,0.1628982,0.15780605,0.15247536,0.14883856,0.14825945,0.15048422,0.15329655,0.15405536,0.15164469,0.14707875,0.14263004,0.13978747,0.13918285,0.14040434,0.1432042,0.14669734,0.15009844,0.15274502,0.15526974,0.15900196,0.16420704,0.16932575,0.17139983,0.16963656,0.16588174,0.16439207,0.16815656,0.17817748,0.19325922,0.21214849,0.23416881,0.2592033,0.28634167,0.3133222,0.3371847,0.3555758,0.36770344,0.37356663,0.37265965,0.36253586,0.34005913,0.30453587,0.26075342,0.21776539,0.18408541,0.16325302,0.1536577,0.15142721,0.15326779,0.15699863,0.16130012,0.16561885,0.17039894,0.17664488,0.18372034,0.18884051,0.18722613,0.17612897,0.15542628,0.1287181,0.100634165,0.077355586,0.06481878,0.06772757,0.08582428,0.11329796,0.14056976,0.15963103,0.1669883,0.16383938,0.15344584,0.14001238,0.1277603,0.12003856,0.117302574,0.11816055,0.12159612,0.12955244,0.143818,0.16320813,0.18172497,0.19394726,0.19784482,0.1960655,0.19147515,0.18634133,0.18204267,0.1803983,0.18169017,0.18391506,0.18340278,0.17846036,0.17048822,0.16303991,0.15832675,0.15600954,0.1541159,0.15089144,0.14612563,0.14075851,0.13653092,0.13453041,0.13435124,0.13433786,0.13318706,0.13138199,0.13024068,0.13034554,0.13073806,0.13025819,0.12875862,0.12714916,0.12627973,0.12617643,0.12645005,0.12715279,0.1289085,0.13174288,0.13399966,0.13376343,0.13127786,0.13013966,0.132957,0.13810067,0.1393929,0.13307163,0.12033266,0.10645476,0.095404826,0.09017584,0.09500092,0.11471492,0.15006739,0.19283308,0.22981437,0.24898441,0.24576302,0.22315985,0.19041653,0.16049029,0.14426444,0.1459132,0.15998553,0.17728709,0.19040431,0.1978236,0.20144959,0.20373207,0.20551617,0.20634092,0.20526747,0.20191795,0.19687472,0.1917602,0.1882835,0.18742687,0.18863064,0.19028509,0.19058271,0.1888193,0.18556118,0.18230675,0.18042557,0.18057205,0.18221289,0.18390661,0.18389957,0.18114312,0.17554832,0.16793706,0.15969224,0.15301824,0.15036933,0.15278332,0.15810864,0.16168426,0.16037613,0.15613233,0.15645862,0.1688401,0.19569854,0.23111331,0.26538953,0.2896098,0.29984367,0.29496205,0.2746836,0.24017166,0.19852357,0.1651734,0.15753388,0.18326016,0.23260419,0.2838305,0.31772316,0.32786828,0.32044432,0.30545494,0.29056457,0.27935073,0.2729768,0.27116725,0.272455,0.27518308,0.2800797,0.29283106,0.32410762,0.3797586,0.45123258,0.5126694,0.5392266,0.5246783,0.48622465,0.44744518,0.42188296,0.40972444,0.40470853,0.40169105,0.3972609,0.3902661,0.380373,0.37004343,0.36312386,0.36460945,0.3724693,0.37676057,0.36120847,0.32066455,0.26583833,0.22024937,0.19971152,0.20407128,0.22012816,0.23477863,0.24205951,0.24236126,0.23961996,0.24116458,0.25660363,0.29584458,0.361528,0.44563636,0.52523685,0.57272345,0.569324,0.52214545,0.4572957,0.4036863,0.37281477,0.3611753,0.35868394,0.35948703,0.36176798,0.36619774,0.37323943,0.38271317,0.39334252,0.40357134,0.41001272,0.40870342,0.39558303,0.37290177,0.3480393,0.33091518,0.32513246,0.32792285,0.33274937,0.33525434,0.3336794,0.32855868,0.32076976,0.31226373,0.30707374,0.31373197,0.34409872,0.40258002,0.47535267,0.52994704,0.53815025,0.4977142,0.434469,0.38036165,0.3508089,0.34223044,0.34133437,0.33814016,0.3283035,0.3136135,0.29814973,0.28777274,0.28716978,0.29894435,0.3172973,0.3292915,0.31803784,0.27783468,0.2167564,0.15434663,0.10591581,0.07796282,0.06713242,0.066602506,0.06904385,0.07004898,0.07043066,0.073852725,0.08599314,0.11290566,0.16573565,0.24938674,0.35156015,0.4361068,0.4683919,0.44135395,0.38309488,0.33565137,0.32990324,0.37415934,0.4506159,0.52213234,0.5492491,0.5167233,0.44396648,0.37061217,0.3280641,0.325212,0.349381,0.38054514,0.40001306,0.4013239,0.3882452,0.37204084,0.36019024,0.35544908,0.3559825,0.3605827,0.3684573,0.37915707,0.39098096,0.40143344,0.41019747,0.42185697,0.44722673,0.49177065,0.54715633,0.5869804,0.5884262,0.5476698,0.4864556,0.4310715,0.397061,0.3830478,0.38044718,0.38133398,0.38170156,0.38069186,0.37870887,0.37771854,0.37966335,0.38619664,0.3931695,0.39245296,0.3738935,0.33746815,0.29213578,0.25317025,0.22886688,0.22034843,0.22260274,0.23089351,0.24106027,0.25024152,0.25731668,0.26385158,0.27510223,0.29980764,0.34749505,0.4184675,0.49557075,0.5478053,0.55163956,0.5094741,0.44785795,0.39659616,0.36995944,0.36563778,0.37346408,0.3845671,0.39271715,0.39545515,0.39313892,0.38981175,0.38950232,0.39464632,0.40181896,0.40468636,0.39606604,0.3752204,0.34602144,0.31381187,0.27876082,0.23908998,0.19718061,0.16315098,0.14857884,0.15721531,0.18192582,0.21058513,0.23738687,0.26825878,0.31793842,0.39165282,0.4737307,0.5285802,0.5292296,0.47668812,0.40127888,0.33620843,0.2986222,0.28566825,0.2867205,0.29224703,0.29804277,0.3028263,0.3076366,0.31375673,0.3230028,0.33535156,0.34623694,0.34724316,0.33052003,0.29782173,0.25950035,0.22966866,0.21538456,0.21665382,0.22826356,0.24534804,0.26313454,0.27778202,0.28571036,0.28508893,0.27790558,0.27399722,0.29015037,0.33746102,0.40578136,0.46262303,0.47719613,0.44571292,0.3950074,0.3610549,0.367404,0.4158047,0.48752108,0.54982495,0.5715071,0.5418349,0.47683,0.40723827,0.35741487,0.3360814,0.33578515,0.34263277,0.3426379,0.3319062,0.3150148,0.3012412,0.2939427,0.2918667,0.29227522,0.29593834,0.30405185,0.31523216,0.32614776,0.3349804,0.34493825,0.36323133,0.39813086,0.4506366,0.5082795,0.5478104,0.55049586,0.51734656,0.4671131,0.42206076,0.39258143,0.37779626,0.37108493,0.3672934,0.36313614,0.35758913,0.35146895,0.34775147,0.35013452,0.36071232,0.3749924,0.38284412,0.372364,0.34160805,0.299902,0.26414612,0.2462502,0.24873328,0.26571536,0.28816286,0.3083172,0.32119548,0.32662162,0.32789266,0.33199382,0.34795555,0.3849484,0.4428959,0.50595456,0.54597956,0.5435687,0.50280124,0.44903326,0.40703022,0.3866832,0.38287935,0.38638198,0.39092493,0.39366475,0.39384484,0.3915361,0.3886609,0.38756052,0.38878915,0.38699695,0.37268522,0.3383967,0.28768933,0.23366623,0.19110347,0.16640234,0.15935032,0.16778724,0.19100808,0.22483873,0.25989687,0.28468737,0.29367372,0.29207775,0.29516038,0.32029215,0.37210312,0.4344602,0.4765059,0.47751355,0.44058928,0.3894333,0.3459772,0.3201218,0.31013003,0.31164727,0.31972766,0.32922518,0.3354888,0.33711255,0.3368694,0.33924568,0.3471552,0.357271,0.36180297,0.35184744,0.32733366,0.2957175,0.26864493,0.25053918,0.23906887,0.22656673,0.207269,0.17958587,0.14934145,0.12859915,0.13007125,0.16103572,0.22039084,0.3020879,0.3923123,0.4691689,0.50590044,0.4900917,0.43304953,0.36717102,0.3249971,0.3283013,0.37819925,0.45663694,0.5270874,0.55634016,0.53264904,0.47486332,0.4138193,0.37288573,0.35790002,0.36140203,0.37116787,0.37642106,0.37394533,0.36664435,0.36005223,0.35594413,0.35438517,0.3563545,0.36442244,0.37754974,0.38832223,0.38815537,0.37575448,0.3627025,0.36788133,0.4057012,0.47201204,0.54132104,0.57901835,0.5645209,0.5053273,0.43062142,0.37060273,0.34036162,0.3382393,0.35400224,0.37614393,0.39628318,0.40959045,0.41606247,0.41883555,0.4221842,0.4273453,0.42949912,0.42020264,0.39308867,0.35225236,0.3107008,0.28353333,0.27687073,0.28588837,0.3000313,0.3109692,0.3165331,0.31821427,0.3183962,0.31873152,0.32365704,0.34241107,0.38501278,0.4501957,0.51760626,0.5571465,0.5504484,0.5051463,0.44623795,0.3971083,0.3667008,0.3524778,0.3481367,0.34851658,0.35051766,0.35227624,0.35442117,0.3590465,0.36917365,0.38428175,0.39863202,0.40218136,0.38721684,0.3535985,0.30824128,0.2599586,0.21563889,0.18154393,0.1647381,0.17000087,0.19469641,0.22726607,0.2537489,0.2670497,0.27308956,0.28897163,0.32964763,0.39353752,0.45578608,0.48503792,0.4664062,0.41410878,0.35752085,0.3185489,0.3005272,0.29399368,0.28990293,0.28444958,0.27923098,0.2762737,0.2782457,0.2868801,0.30380586,0.3252897,0.34116134,0.33636758,0.3024616,0.24418576,0.17843528,0.12272957,0.086704455,0.07099361,0.07047931,0.077889144,0.084586,0.08447534,0.07636676,0.06732388,0.07181114,0.108451806,0.18897001,0.3040024,0.41988215,0.49542388,0.51044136,0.4766674,0.42599276,0.38796553,0.38130236,0.41135284,0.4672118,0.5198744,0.5365955,0.50533485,0.4432794,0.38346502,0.35048234,0.35067543,0.3742713,0.4044511,0.4261693,0.43235055,0.42603076,0.41471556,0.404912,0.398286,0.3932719,0.38581815,0.37282968,0.35360184,0.33243656,0.31467617,0.3041226,0.30043498,0.30266497,0.3099639,0.3214194,0.33299205,0.33951926,0.33679834,0.32582867,0.31095505,0.29901707,0.29386052,0.2961488,0.30174562,0.30667818,0.3081005,0.30743816,0.30691138,0.30905607,0.3129059,0.31576225,0.3132919,0.30344328,0.2876418,0.27201283,0.2641869,0.26846352,0.28190878,0.296296,0.30423236,0.30431378,0.30042776,0.29763246,0.2986672,0.30357087,0.31057772,0.31665334,0.31865057,0.31500998,0.3073134,0.29901853,0.29247424,0.2871692,0.2805178,0.27080116,0.25832558,0.24531288,0.23396437,0.22547363,0.21945065,0.2144686,0.20962815,0.2062066,0.20874764,0.22067754,0.24031182,0.2573028,0.2615496,0.25021785,0.23394199,0.22594547,0.2328976,0.24700946,0.25429264,0.24449779,0.22063082,0.19631517,0.18762082,0.20173144,0.23357256,0.26881704,0.29472414,0.3060082,0.30618462,0.30050743,0.29222086,0.28164363,0.26942524,0.25812736,0.25085768,0.24954921,0.25281835,0.25794923,0.2621131,0.2653089,0.26866734,0.27375016,0.2802836,0.28729942,0.2933853,0.29773673,0.29970667,0.29891768,0.2955006,0.29100814,0.288031,0.2886028,0.29193798,0.2945331,0.29210246,0.28213036,0.2651634,0.24460183,0.22627066,0.21675296,0.22127163,0.24025221,0.26815704,0.295702,0.3152777,0.32464966,0.32624438,0.32365716,0.31853306,0.31079713,0.29921338,0.2842106,0.26749718,0.2527044,0.24133022,0.23358582,0.22885005,0.2296192,0.2385844,0.2550309,0.27193692,0.28113964,0.2794169,0.27115694,0.26328465,0.2599536,0.26053825,0.26276636,0.26538894,0.26857606,0.27260175,0.27699193,0.28124258,0.2855655,0.291397,0.3002616,0.3123943,0.32556173,0.33625713,0.3418707,0.34284148,0.34161118,0.34028426,0.33823863,0.3337716,0.32664642,0.3203083,0.31949112,0.32681242,0.33984426,0.35214242,0.35674095,0.34943393,0.3300881,0.30095243,0.2655308,0.22824709,0.1955474,0.17524679,0.17298417,0.18807955,0.21180917,0.23200698,0.23959582,0.2334485,0.21971841,0.20806997,0.20797999,0.22391738,0.2529817,0.28417814,0.30565643,0.31109497,0.30353904,0.29052904,0.27891704,0.27149382,0.26829204,0.268203,0.27013525,0.27280787,0.27478048,0.27471933,0.27208653,0.26753208,0.2628661,0.26019177,0.2610359,0.26493657,0.26991442,0.2731994,0.27371338,0.27203107,0.26994607,0.26807442,0.26554176,0.25980225,0.24824287,0.23174925,0.21984069,0.23208581,0.28490603,0.37190413,0.45561615,0.48976004,0.45419887,0.36901972,0.27604833,0.20614499,0.16688858,0.14862002,0.14020537,0.13446657,0.12910493,0.1234583,0.120427005,0.12937981,0.16726811,0.24589986,0.35336056,0.448318,0.48275223,0.4382608,0.33813357,0.22851883,0.1438292,0.09481909,0.07429143,0.07234787,0.08078758,0.093243115,0.10394717,0.11202445,0.12686236,0.16731401,0.24755247,0.35715485,0.45783964,0.5051494,0.48271942,0.41184744,0.33645925,0.29366183,0.30185065,0.35631597,0.43332997,0.49716935,0.5184844,0.49207094,0.43790412,0.3857235,0.35638204,0.3532401,0.3656366,0.37559783,0.37075654,0.34802783,0.3148718,0.2788572,0.2451049,0.2164732,0.19741826,0.19251095,0.20112537,0.21665959,0.22861268,0.23117624,0.22868316,0.23963745,0.28366956,0.36344633,0.45079836,0.5057083,0.505735,0.46439755,0.41377473,0.37850365,0.36307335,0.36023247,0.36275986,0.36697066,0.37031648,0.36952505,0.36298516,0.35326996,0.34714198,0.3486009,0.35434508,0.35305312,0.33717334,0.3079144,0.27625808,0.2510089,0.2356528,0.22795178,0.22608452,0.22915436,0.23642145,0.24692518,0.26030314,0.2785413,0.30587384,0.34838057,0.40842855,0.47643337,0.52938366,0.5432761,0.5136801,0.45971552,0.41033855,0.38224638,0.3752365,0.37919688,0.38559142,0.39052844,0.39421496,0.3984231,0.4051108,0.41450858,0.42470983,0.4303691,0.42505565,0.40280485,0.36380804,0.3132445,0.2607848,0.21433169,0.18042432,0.1626731,0.163318,0.18090732,0.21024795,0.24318306,0.2717978,0.29311308,0.31229725,0.34262112,0.39436516,0.4615028,0.5169933,0.52994776,0.49042127,0.41731775,0.34379983,0.29299536,0.271097,0.27169967,0.28626132,0.3064427,0.32597053,0.34125245,0.35286978,0.3637682,0.37689003,0.3902599,0.39755726,0.3899481,0.365772,0.33109787,0.2969767,0.26851168,0.24450149,0.22170456,0.20157337,0.18862194,0.18540788,0.18996723,0.19757713,0.20629007,0.22062813,0.25361466,0.31542623,0.39873612,0.47132334,0.49644744,0.46225658,0.3927515,0.3308893,0.31005982,0.34182796,0.41150633,0.48574138,0.52438515,0.5063289,0.44243014,0.36867046,0.3180472,0.304294,0.3187134,0.3443904,0.3641788,0.37123454,0.36725256,0.3604741,0.35566428,0.35191628,0.34447047,0.33044305,0.3118987,0.29402867,0.28300884,0.28231838,0.29346183,0.31692803,0.35552487,0.40999258,0.47216702,0.521652,0.5372972,0.51432925,0.46803924,0.4220604,0.39018598,0.37405422,0.36809596,0.36752757,0.3681376,0.36567974,0.3570844,0.34340608,0.33093837,0.32760054,0.33546853,0.3481673,0.35262486,0.34034887,0.3099516,0.26883096,0.22510941,0.18762565,0.16251177,0.15366834,0.15987615,0.17607723,0.19573635,0.21332406,0.22817115,0.2466892,0.28339323,0.34821904,0.43315265,0.5071625,0.5376608,0.5156982,0.46326855,0.4134262,0.3848678,0.37605032,0.37461355,0.37193176,0.36600468,0.35998416,0.3564825,0.35740685,0.3627582,0.37354413,0.38649502,0.39592126,0.392498,0.37544736,0.35066566,0.32941124,0.3152288,0.3053954,0.29362738,0.2769655,0.25565946,0.23172931,0.20954019,0.19406055,0.19232762,0.21079898,0.25878105,0.337539,0.43328714,0.5114346,0.5405972,0.5139126,0.45609668,0.3999522,0.36377683,0.3468844,0.34035382,0.33815286,0.33778152,0.33852804,0.3395884,0.34138694,0.3453128,0.35240903,0.3585836,0.35441315,0.32818428,0.27722844,0.21112014,0.14958897,0.10929296,0.096577846,0.10395076,0.11687234,0.12236486,0.117830284,0.11085225,0.11067147,0.122196436,0.14767852,0.19682145,0.27769998,0.3832899,0.47879276,0.5273099,0.516046,0.4693782,0.42518172,0.41094092,0.4319425,0.4742651,0.5131016,0.52416104,0.49870577,0.4474864,0.39294782,0.3531679,0.33637378,0.33893016,0.35141537,0.36013034,0.35768577,0.3442217,0.32805744,0.3148332,0.30574492,0.29791164,0.29035607,0.2838367,0.27953455,0.27636406,0.27219892,0.2647779,0.25405395,0.24168782,0.23026776,0.2204628,0.21028233,0.19707961,0.18069468,0.16442364,0.1522092,0.14582591,0.14415252,0.14457484,0.14478795,0.14355916,0.14121036,0.13884057,0.13795424,0.1399792,0.14641078,0.15756,0.1713577,0.18291093,0.18734157,0.18246762,0.17061234,0.1564213,0.1445385,0.13710709,0.13390791,0.13323623,0.13354854,0.13426699,0.13548101,0.13720803,0.13902771,0.14057927,0.14210536,0.14411974,0.14718787,0.15153836,0.15764385,0.16576898,0.17607188,0.1880983,0.20128536,0.21471226,0.22752647,0.23894012,0.24878676,0.25708315,0.2638198,0.26850635,0.27052104,0.2687606,0.26199302,0.24919409,0.23130459,0.21125959,0.19324355,0.18018997,0.17297375,0.17040376,0.17057939,0.17160451,0.17213465,0.17140622,0.16934383,0.16644804,0.16357024,0.16159172,0.16086055,0.16098408,0.16064024,0.15865338,0.15456913,0.14954759,0.1455754,0.1449709,0.14886238,0.15657333,0.16543694,0.17227487,0.17519099,0.1745164,0.1726857,0.17271058,0.17694391,0.18494861,0.19379723,0.19920754,0.19922619,0.19491781,0.18970042,0.18655612,0.18749405,0.19347541,0.20432724,0.21811116,0.23141511,0.2413999,0.24709375,0.24968381,0.25094676,0.2527152,0.25582057,0.2601421,0.2639254,0.26539776,0.26378497,0.26130685,0.2619073,0.27004978,0.2866635,0.30854014,0.32818946,0.33868453,0.33561766,0.31996214,0.29657623,0.2744358,0.26270387,0.2673465,0.28649703,0.31142315,0.33097643,0.33807465,0.33270857,0.32029623,0.3078353,0.30021086,0.2990069,0.3020624,0.30531523,0.3049337,0.30010673,0.29290858,0.2870663,0.28581667,0.29085505,0.30165482,0.315122,0.32698715,0.33341727,0.33328524,0.327413,0.31757465,0.30435607,0.28774282,0.2680482,0.24740298,0.2290684,0.21608281,0.21042039,0.21318287,0.22391784,0.23794276,0.24524993,0.23588955,0.20912741,0.17784047,0.15954542,0.16329992,0.18286389,0.20486514,0.2186233,0.22182707,0.21687764,0.21011405,0.20902582,0.22114968,0.24645984,0.27853096,0.3073236,0.3278993,0.33913276,0.34259066,0.3390127,0.33036372,0.31916878,0.30807817,0.29776844,0.28794333,0.27858075,0.27182433,0.27136374,0.28015804,0.29781994,0.32000342,0.3408105,0.35502553,0.35943374,0.3528563,0.33687517,0.31605795,0.29634526,0.282506,0.27638808,0.27745453,0.28325713,0.29060125,0.2958795,0.29733348,0.29459444,0.28929755,0.28310788,0.27902874,0.27908137,0.28381196,0.28999028,0.29387105,0.29373574,0.29156545,0.2901276,0.2894146,0.2864433,0.27802804,0.2642791,0.24819595,0.2322411,0.21729533,0.20404905,0.1965247,0.19832897,0.20775051,0.21391259,0.20421769,0.17327322,0.12847781,0.08388477,0.052050337,0.038714834,0.044289965,0.065591075,0.096430056,0.12799428,0.1523096,0.16586535,0.17073648,0.17143749,0.17167343,0.17261928,0.17389174,0.17464042,0.17435907,0.17223375,0.16733664,0.15925552,0.1510474,0.14850336,0.15734422,0.17653722,0.19870313,0.21458405,0.22162564,0.22526486,0.23460181,0.25476137,0.2822549,0.3074327,0.31999636,0.31665382,0.3015746,0.28373674,0.27023196,0.26428112,0.26539263,0.27197173,0.28193274,0.29272583,0.3015349,0.30651125,0.30834508,0.31015864,0.3166527,0.33091962,0.35265648,0.37665963,0.39610553,0.40584397,0.40602884,0.4006096,0.39473295,0.3910037,0.38944432,0.3882697,0.38655102,0.3842902,0.38268396,0.38200417,0.3816801,0.37925932,0.37185156,0.35651913,0.3331515,0.3054552,0.28036308,0.26346505,0.25520512,0.25137833,0.24751931,0.2432545,0.24119936,0.24355258,0.24844259,0.2508322,0.2445425,0.2256289,0.19462557,0.15841855,0.12919311,0.11895069,0.13246879,0.16325974,0.19832836,0.2268892,0.24729396,0.26488146,0.28520656,0.30810764,0.32856548,0.34126452,0.34534717,0.3443173,0.34319055,0.3438476,0.3443298,0.34080932,0.3318539,0.31859177,0.3014283,0.2767148,0.24007626,0.19372265,0.15032546,0.12589242,0.12847915,0.15187068,0.18141635,0.20440714,0.21776755,0.22773647,0.24493806,0.27557385,0.31606653,0.3521088,0.36889794,0.35970595,0.33112875,0.2961705,0.26760027,0.2511571,0.24598889,0.24661268,0.24871607,0.25032967,0.25239238,0.25524142,0.26073873,0.27026176,0.28384602,0.29502475,0.29468834,0.27730572,0.24751319,0.21681772,0.19595306,0.18855767,0.19155276,0.19904353,0.2058912,0.2084866,0.20462225,0.19297083,0.17349656,0.1477227,0.11979703,0.09651595,0.08527268,0.090129375,0.10944119,0.13783996,0.17013727,0.2041337,0.24012654,0.27959564,0.32245064,0.3650147,0.399515,0.41822103,0.4183438,0.40409923,0.38455832,0.36866102,0.361357,0.35991177,0.35674158,0.3444043,0.32259288,0.2968923,0.27412173,0.25739092,0.24649923,0.2408949,0.24099125,0.24862103,0.26569605,0.29278398,0.32587957,0.3556373,0.37108314,0.3666843,0.3458586,0.31824365,0.29255152,0.2728316,0.2582253,0.2467217,0.23705016,0.23065346,0.23022054,0.2380598,0.252685,0.268901,0.2801015,0.28313115,0.28118,0.28164575,0.28941712,0.30059385,0.3046738,0.29453385,0.273727,0.25408557,0.24474771,0.24676907,0.25442478,0.26170546,0.26472163,0.2625166,0.2557657,0.24549502,0.23130657,0.21335101,0.19644733,0.19038205,0.20292795,0.23093617,0.26189467,0.28259608,0.28954065,0.2877017,0.28556332,0.2877015,0.2944241,0.3028262,0.31063712,0.31710112,0.32332277,0.33041194,0.33918896,0.3486199,0.3556781,0.3550408,0.34256604,0.31798697,0.28583863,0.25262624,0.22462894,0.2074517,0.20497252,0.21709992,0.23753937,0.25704762,0.26776108,0.2670438,0.25623357,0.23956211,0.22266252,0.21130611,0.20900197,0.21436663,0.22166073,0.2231809,0.21568723,0.2037286,0.19924553,0.2116422,0.23994273,0.27112427,0.29096952,0.2932484,0.28306428,0.27006972,0.26287672,0.2641535,0.27085996,0.27541935,0.2725041,0.26328894,0.2548112,0.25203928,0.25287604,0.2501498,0.23751199,0.21289207,0.17923717,0.14494516,0.12298315,0.123903595,0.1482852,0.18442321,0.21743394,0.23830873,0.24769099,0.25091794,0.25365806,0.2590548,0.2677044,0.2774756,0.2868458,0.29727253,0.31292018,0.3338443,0.35266313,0.35848033,0.34629688,0.32163242,0.29644582,0.28123093,0.27960628,0.2875649,0.2976936,0.3032343,0.3012909,0.29141748,0.275575,0.25935206,0.25214705,0.261225,0.28327072,0.3040645,0.30925754,0.2972575,0.2806743,0.2756664,0.28943494,0.3168197,0.3446777,0.3592858,0.3509905,0.31848004,0.2697049,0.22043155,0.18713105,0.17910205,0.19388048,0.21952802,0.24384086,0.2605804,0.27154753,0.2807056,0.29187134,0.3058463,0.32082328,0.3303208,0.3272979,0.31038007,0.28783023,0.27270326,0.2723249,0.28491083,0.30191186,0.3160322,0.32199118,0.31649086,0.29680073,0.26324716,0.22130905,0.1808175,0.15365827,0.14818148,0.16600542,0.19908941,0.23447967,0.26016244,0.27206385,0.27377656,0.27362168,0.27898112,0.29291156,0.31256783,0.33160284,0.3446981,0.35127136,0.35527942,0.36122894,0.36982337,0.37636018,0.3735381,0.35635582,0.32523477,0.2848721,0.24076611,0.19733648,0.15934706,0.13377357,0.1284724,0.14656353,0.18204485,0.22146976,0.252709,0.271829,0.28331026,0.29321113,0.3042483,0.31439924,0.32011765,0.3188914,0.31181166,0.30219325,0.2933592,0.28563467,0.2774444,0.26705086,0.2544836,0.24062103,0.22644614,0.21280843,0.20206256,0.1995644,0.21038277,0.23312624,0.25432873,0.2557892,0.2268639,0.17476858,0.11806255,0.07419781,0.04934506,0.039945584,0.03873277,0.03988154,0.04013242,0.038489524,0.036358472,0.039102584,0.05577557,0.09591341,0.16070385,0.23890083,0.30919293,0.35430482,0.36971703,0.365522,0.35643157,0.35352635,0.35950217,0.36961603,0.3761469,0.37279797,0.3587791,0.3378704,0.31726837,0.30476025,0.30734885,0.32692593,0.35825264,0.3898588,0.4113096,0.41823164,0.41351613,0.40265703,0.38981605,0.37584963,0.35877404,0.33682498,0.31108996,0.28743324,0.27425587,0.28077194,0.31515923,0.3791633,0.46035323,0.53014654,0.5594862,0.53890395,0.48477256,0.42419326,0.37624398,0.3472629,0.33605075,0.33980286,0.3533688,0.37027135,0.38446012,0.39404902,0.40036777,0.40659547,0.4127477,0.41467318,0.40416077,0.37652552,0.33502865,0.29192773,0.26071277,0.2488633,0.2547737,0.27089688,0.2889005,0.30304763,0.31183168,0.3176179,0.32599854,0.3445131,0.38103426,0.43886304,0.5087256,0.5680196,0.59091276,0.56912446,0.5167882,0.46167588,0.42302176,0.40485856,0.39871886,0.39530197,0.3901213,0.38448572,0.38243577,0.3870959,0.39867568,0.41475144,0.42943597,0.43509558,0.4232663,0.39205182,0.3483745,0.30748788,0.28376234,0.28232288,0.2959387,0.30832443,0.30497167,0.28122973,0.24702036,0.21989293,0.21705584,0.24820067,0.31509897,0.4084532,0.50586826,0.5755467,0.59288245,0.5573588,0.49203923,0.42724442,0.380554,0.35508457,0.34483922,0.34441411,0.34871772,0.3542342,0.35787705,0.3598503,0.3626071,0.37045076,0.38303757,0.39463946,0.39393663,0.375381,0.34181938,0.30577734,0.2781919,0.2649515,0.26447132,0.27264452,0.28469464,0.29670405,0.30552408,0.30851936,0.30657384,0.30678937,0.3245139,0.37180218,0.44413328,0.5139206,0.54873306,0.53509855,0.48825994,0.43941095,0.41533625,0.42815498,0.47071227,0.5190671,0.54199123,0.52123636,0.46506166,0.40217826,0.36030272,0.3507919,0.36644793,0.39168128,0.4096423,0.41223538,0.40026128,0.38326943,0.36960077,0.36373302,0.3644024,0.36850342,0.37237275,0.3737313,0.37207165,0.36847413,0.36549494,0.36841834,0.38584805,0.4237728,0.47615588,0.52232844,0.53906035,0.51912534,0.47537914,0.43051162,0.3985223,0.3822513,0.37618184,0.37632942,0.37952211,0.38454863,0.38926208,0.39349028,0.3981692,0.40536833,0.412025,0.40959606,0.3859509,0.33682534,0.26866683,0.19755529,0.13856068,0.102105536,0.09187732,0.10626563,0.13741986,0.17318405,0.20269108,0.22136544,0.2337199,0.25008282,0.28534397,0.34770158,0.4312489,0.5078889,0.54673004,0.533194,0.48302528,0.4250907,0.38199425,0.3592695,0.352088,0.3542583,0.36176178,0.37189707,0.38210914,0.39072978,0.3982109,0.40599826,0.4124355,0.4108162,0.3924476,0.35621312,0.310908,0.27116132,0.24601273,0.23658921,0.23852408,0.24798898,0.26141527,0.27394512,0.2791491,0.27298725,0.2597598,0.2539296,0.27624437,0.33654705,0.42134354,0.49239135,0.51391965,0.47693893,0.40607977,0.33691147,0.2921826,0.27457842,0.2743148,0.28057763,0.2858403,0.2876862,0.28725275,0.2883288,0.29487094,0.3096901,0.32899988,0.3423015,0.33481976,0.3012793,0.249672,0.19858183,0.16220866,0.14498986,0.14221185,0.14728613,0.15495306,0.16265273,0.17001705,0.17758293,0.18795733,0.20746215,0.24865131,0.31854874,0.40751705,0.4838624,0.51698184,0.49877086,0.45161352,0.40917113,0.39728853,0.42390344,0.47811684,0.5334688,0.5590778,0.5384943,0.48112857,0.41499123,0.36735806,0.35122097,0.36280164,0.388286,0.410125,0.41775456,0.41029274,0.39598158,0.38112438,0.36777607,0.35441384,0.34224617,0.33394745,0.33126283,0.3320969,0.33199215,0.3283573,0.32588854,0.3394729,0.38261986,0.45212254,0.51831526,0.5467934,0.5231442,0.46663594,0.4089304,0.37246355,0.35949072,0.36220565,0.37155354,0.38201115,0.38941208,0.39160332,0.3889437,0.38582873,0.3873664,0.39350268,0.3969209,0.38690457,0.3608171,0.325516,0.29338583,0.2703888,0.2560598,0.24716051,0.243634,0.24673764,0.25576556,0.2684409,0.28356078,0.303804,0.33370164,0.3780792,0.43576822,0.4957626,0.5369807,0.5422025,0.511614,0.4645786,0.4244919,0.40333942,0.3993987,0.404451,0.4117974,0.4179658,0.42214677,0.42466807,0.42663446,0.42945114,0.43362257,0.43604374,0.42973736,0.40730247,0.3677325,0.31726834,0.26626366,0.22265814,0.19236006,0.17933945,0.18624634,0.21013735,0.24261363,0.27367795,0.29792842,0.3182324,0.34336802,0.38447163,0.4438735,0.50911707,0.55224425,0.54950285,0.4988753,0.42460015,0.35893428,0.32214084,0.31675994,0.33347973,0.3611854,0.3894061,0.41122544,0.42299923,0.42708007,0.42885885,0.43375468,0.43977067,0.43855092,0.42011818,0.38451967,0.34100685,0.30228963,0.2726411,0.25070232,0.23311538,0.22138906,0.21601343,0.21639688,0.21872105,0.22110868,0.22434594,0.2352988,0.26765814,0.33030483,0.4139422,0.48418212,0.5063048,0.4704788,0.40213695,0.34238026,0.32455757,0.36067107,0.43550846,0.5125346,0.55034715,0.5309032,0.4699407,0.40435505,0.36335805,0.35567638,0.37072602,0.3929331,0.407998,0.41133657,0.40542173,0.3982108,0.39392272,0.39247385,0.39031753,0.38504544,0.37648058,0.36690453,0.3606499,0.3628128,0.3771071,0.40480646,0.44417083,0.49022207,0.5315448,0.5529239,0.5421856,0.5020029,0.4487063,0.40352798,0.3782939,0.373196,0.38010147,0.38972095,0.39483666,0.39188132,0.38186872,0.36990902,0.36380446,0.36947235,0.3858215,0.4032576,0.40766564,0.39003956,0.35001078,0.29660544,0.24136387,0.19681047,0.17098264,0.16684735,0.17961848,0.20187931,0.22742116,0.2548237,0.2864742,0.32739893,0.38274363,0.4508753,0.5170374,0.55627465,0.55032116,0.5036629,0.44163153,0.3922616,0.36787593,0.36411455,0.36858413,0.3723563,0.37208986,0.36979327,0.3684368,0.37119523,0.3797886,0.39471188,0.41209042,0.42426574,0.42301908,0.40765557,0.38517985,0.3650129,0.3495966,0.3350046,0.31581163,0.29121077,0.26348063,0.23646595,0.2140348,0.2016183,0.20517874,0.23147683,0.2857157,0.36512008,0.4513428,0.5131001,0.52580863,0.4896913,0.43023932,0.37708247,0.34574035,0.33359668,0.3305187,0.32799128,0.32348308,0.31793284,0.3137944,0.31357396,0.32013288,0.3346047,0.3511019,0.35652852,0.33621362,0.28753358,0.22198802,0.16019905,0.11697026,0.09697768,0.09404213,0.09855995,0.101177305,0.09787921,0.08954089,0.08127402,0.08144901,0.103493094,0.1628927,0.26289007,0.38220683,0.478899,0.51953244,0.50148433,0.45415282,0.41415504,0.4060241,0.43264028,0.47815678,0.51484084,0.5185881,0.48445436,0.42952263,0.37970695,0.35278392,0.35181955,0.36774144,0.3861798,0.39403248,0.3861588,0.36632955,0.3429478,0.3219831,0.30565068,0.29395077,0.2870916,0.2849594,0.28630045,0.28826377,0.28640345,0.2771273,0.26004103,0.23984283,0.22223707,0.21007366,0.20126186,0.19293684,0.18433602,0.17721222,0.17261459,0.16984437,0.16712885,0.16350283,0.15878211,0.1532713,0.14719309,0.14116083,0.13629709,0.13423418,0.13622202,0.14166066,0.14771277,0.15048641,0.14812495,0.14174803,0.13449368,0.12863456,0.12485122,0.12278383,0.1222832,0.12332356,0.12562901,0.12844819,0.13107117,0.13298203,0.13402455,0.1341312,0.13348229,0.1323731,0.13116239,0.1300742,0.12907453,0.12797087,0.1265572,0.124958865,0.12371946,0.12355106,0.12487408,0.12736125,0.1300487,0.13198012,0.13319314,0.13515626,0.1395877,0.14649262,0.15320422,0.15611888,0.15377955,0.14802377,0.14254184,0.13991426,0.14069007,0.14392416,0.14872043,0.15460654,0.16133945,0.16837573,0.17478238,0.17984575,0.18386917,0.18898809,0.19823825,0.21386309,0.23502083,0.25817797,0.27881023,0.2942339,0.30430654,0.31101105,0.3166335,0.32226261,0.32723415,0.3298852,0.32952002,0.3268374,0.32388493,0.322239,0.32317555,0.32656434,0.33145532,0.3352122,0.33552948,0.331252,0.32378602,0.31583205,0.31028703,0.3087286,0.3107891,0.31438354,0.31688026,0.31676495,0.3143334,0.31108516,0.30869555,0.3083116,0.31071457,0.31572267,0.3219262,0.326427,0.32670268,0.32266617,0.31776765,0.3176544,0.3256537,0.34071338,0.35628533,0.3657097,0.3637984,0.35058233,0.32944766,0.30857265,0.29712513,0.30199245,0.3223114,0.34986672,0.3735821,0.38644457,0.38855246,0.38491166,0.38083223,0.37866387,0.37777352,0.37565926,0.36952388,0.35810837,0.34403718,0.33559886,0.34474823,0.37981176,0.43598628,0.49241582,0.52354455,0.5163669,0.4801986,0.43734112,0.4071677,0.39552152,0.39757743,0.4052248,0.41249418,0.41687527,0.41780615,0.41614962,0.41337442,0.41261622,0.41568506,0.4210553,0.4213102,0.40975884,0.38482583,0.35362598,0.3248407,0.30434743,0.2921596,0.28555986,0.2811416,0.27654955,0.27146074,0.26883307,0.2741152,0.29402903,0.3331586,0.39128527,0.4581716,0.5137736,0.5368631,0.51977855,0.4753442,0.427479,0.39556956,0.3859079,0.39520213,0.41649354,0.4420145,0.46417895,0.47810733,0.48379973,0.48516226,0.48597476,0.4857798,0.47929668,0.45979235,0.42563435,0.38294783,0.34295762,0.31462708,0.3007535,0.29889333,0.3045037,0.31305584,0.32014093,0.32316223,0.3219358,0.32008705,0.32500193,0.34751788,0.39564028,0.46278635,0.5234051,0.54464,0.5126353,0.44310835,0.3708128,0.32240644,0.30442438,0.3068613,0.31681868,0.3260843,0.3323182,0.33668366,0.34157455,0.34927592,0.36143407,0.37627754,0.38740155,0.3845713,0.3622662,0.32475707,0.28538823,0.25638136,0.24228238,0.24002224,0.24431765,0.2514081,0.25902703,0.2661086,0.27204338,0.2782835,0.28983012,0.31665042,0.36696824,0.43561378,0.49817285,0.52401644,0.49973908,0.4399749,0.37675977,0.33923864,0.34308884,0.38650325,0.4494749,0.49750265,0.5006376,0.453987,0.38264433,0.32211122,0.2962555,0.30597243,0.33538213,0.36161625,0.36845756,0.35223913,0.32277533,0.29342088,0.2736766,0.26582322,0.2681484,0.27816167,0.29343104,0.31158206,0.3295641,0.3461088,0.36357534,0.38912985,0.42808494,0.47639665,0.5168779,0.52968955,0.5059133,0.45527506,0.39851677,0.3548746,0.3332702,0.33167085,0.34179857,0.3544623,0.3647368,0.37237608,0.38056025,0.39141825,0.40538153,0.41836,0.42389813,0.41360697,0.38518444,0.3433263,0.2996757,0.2638369,0.24103384,0.23122531,0.2324353,0.2411591,0.25286046,0.26369622,0.27143362,0.2766464,0.28332612,0.30149558,0.34263325,0.40824807,0.47965315,0.52625734,0.5279461,0.4904621,0.43864623,0.39615905,0.3732252,0.36759138,0.3719792,0.37893668,0.38258758,0.38056996,0.37460065,0.37076855,0.37557706,0.39047337,0.4081755,0.4155605,0.40420938,0.3751807,0.33728635,0.29633245,0.2537322,0.2097873,0.17014344,0.14357659,0.1355616,0.14478724,0.1635908,0.18576813,0.21208267,0.25431082,0.32393786,0.41574073,0.49946237,0.53671116,0.51141435,0.44206002,0.36730674,0.316195,0.29650176,0.2990123,0.311656,0.3253434,0.33593836,0.34215835,0.34576413,0.34987593,0.35879365,0.3719791,0.38306367,0.3793576,0.35393968,0.30963886,0.2604747,0.21966964,0.1954366,0.18883145,0.19778435,0.21717149,0.23958004,0.2575393,0.26620448,0.26608527,0.26472434,0.27896887,0.3256544,0.40458775,0.48599395,0.5275547,0.5077888,0.44502726,0.38183597,0.3533174,0.37079772,0.42262748,0.4842783,0.5269675,0.5318048,0.49979314,0.45054492,0.4075611,0.38529357,0.38397574,0.3934699,0.39840654,0.3883113,0.3627007,0.33146802,0.30508485,0.2885077,0.28089663,0.27987757,0.2842282,0.2921552,0.30188715,0.31157923,0.32269272,0.33966923,0.37020627,0.4178538,0.47536245,0.5217171,0.5355773,0.5109216,0.463058,0.41518512,0.38259152,0.36752906,0.3654208,0.3717225,0.38250315,0.39396915,0.40238538,0.40704355,0.40982732,0.414404,0.42017713,0.42129123,0.40715826,0.37325847,0.32577553,0.2813957,0.25512677,0.25186124,0.2648684,0.2826866,0.29649994,0.30322826,0.30486432,0.30583012,0.31086314,0.325496,0.3567486,0.4089601,0.47423327,0.5288478,0.54653066,0.51965445,0.46616396,0.41491053,0.38451743,0.3773956,0.38629124,0.4037042,0.42348507,0.44109738,0.4530309,0.45891654,0.46022177,0.45936713,0.45477426,0.44155827,0.41321734,0.37052214,0.32166925,0.27887258,0.24818085,0.22923891,0.21920353,0.21820647,0.22700183,0.24264924,0.25842962,0.26795852,0.2717197,0.2787138,0.30566874,0.36436757,0.44810906,0.5258331,0.5611079,0.5395431,0.47889292,0.41339707,0.36719844,0.3469509,0.34631285,0.35761973,0.37266338,0.3853054,0.3912815,0.39175832,0.39088157,0.39402938,0.4011681,0.40647432,0.3997589,0.3774611,0.34542847,0.31596148,0.29570818,0.2820709,0.26713985,0.24478118,0.21377288,0.17739134,0.14377153,0.12423584,0.12893717,0.16368733,0.22948837,0.32145992,0.42198977,0.5000275,0.5254093,0.4915832,0.421594,0.35379007,0.31952155,0.33414397,0.39172348,0.4677117,0.52531666,0.53872186,0.50730044,0.45509532,0.40937042,0.38598466,0.3834962,0.39040604,0.39121485,0.37691903,0.34773722,0.31326327,0.28298914,0.2639692,0.25945532,0.2712247,0.2942605,0.31608418,0.3214481,0.30603376,0.28143176,0.2709014,0.29365718,0.35375652,0.43376103,0.50341135,0.53445697,0.51911515,0.47152188,0.41766694,0.3776684,0.36018702,0.3629401,0.3785751,0.39794147,0.41395798,0.42391407,0.42927173,0.43347743,0.43905258,0.44388795,0.44111922,0.42150387,0.38410017,0.33859625,0.30257365,0.28696963,0.29125246,0.3054626,0.31963527,0.3281751,0.32866445,0.32010245,0.3018962,0.2783079,0.26108083,0.27013934,0.31935892,0.40225768,0.48624715,0.53534514,0.53505236,0.50163805,0.46308783,0.4373286,0.42607987,0.42244914,0.42130157,0.420297,0.4195777,0.41887346,0.41925466,0.42196488,0.42836455,0.4345685,0.4320866,0.4101909,0.36652577,0.30806515,0.24883933,0.199628,0.16714962,0.15428297,0.16305883,0.19085598,0.22887063,0.26378548,0.28519824,0.29265705,0.29836023,0.32317573,0.38063955,0.46132946,0.52928764,0.54707307,0.50454646,0.4274192,0.35432068,0.30940858,0.2942392,0.29726756,0.3067473,0.3154422,0.3213467,0.32534587,0.33035997,0.33861747,0.35163775,0.36441848,0.36677352,0.3443661,0.29367796,0.22391017,0.15619545,0.10697655,0.08367911,0.082250126,0.09407278,0.10846024,0.117464006,0.11855296,0.115130365,0.11563908,0.13271344,0.18277963,0.2738367,0.3921317,0.49864593,0.5543721,0.54682636,0.4982029,0.44444498,0.4139286,0.41830394,0.45270267,0.49777994,0.52689296,0.52286315,0.48915955,0.44634914,0.41514373,0.40618697,0.416612,0.43659368,0.45217744,0.45570192,0.4468446,0.43418512,0.42469224,0.42178294,0.42337716,0.42640698,0.426945,0.4221822,0.4111466,0.39665434,0.3824512,0.37102795,0.36060128,0.34968388,0.33888686,0.3324492,0.3305824,0.32674208,0.3086419,0.26941016,0.2144835,0.1615497,0.12917161,0.12592238,0.14596723,0.1752984,0.20086277,0.21663411,0.22306527,0.2234683,0.22064851,0.21599154,0.2095653,0.2013834,0.19199888,0.1835761,0.1790003,0.18066953,0.18849121,0.19967836,0.21010669,0.21675865,0.21943252,0.22017454,0.22119917,0.22295982,0.22431563,0.2241146,0.22215553,0.21891408,0.21439445,0.2082286,0.19994618,0.18984126,0.17859377,0.16734648,0.15702148,0.1480809,0.14019974,0.13267158,0.12542929,0.11951709,0.117891006,0.12511395,0.14571072,0.17913102,0.21660714,0.24408762,0.2533173,0.24836846,0.24348907,0.2491575,0.26475716,0.2778795,0.2761595,0.25589302,0.22706251,0.20765017,0.21231715,0.24253203,0.28334078,0.31401908,0.32015148,0.30361477,0.27761373,0.2578086,0.25224808,0.25969565,0.27180696,0.27886102,0.2753598,0.26276848,0.24803253,0.23746662,0.23335773,0.23333447,0.23445563,0.23494153,0.23468643,0.23359643,0.23150676,0.22886664,0.22738485,0.22884905,0.23328935,0.2380526,0.23988672,0.23715408,0.23119824,0.2245193,0.21935146,0.21690632,0.2170044,0.21875475,0.2200532,0.22183578,0.22644663,0.23798744,0.25494054,0.2731252,0.2864729,0.29353926,0.29534936,0.29426205,0.29082805,0.2835455,0.27069864,0.25259987,0.23393004,0.22062941,0.21657403,0.22100335,0.23226632,0.24906182,0.2696751,0.28688192,0.2915007,0.2787449,0.25531614,0.23409493,0.22519471,0.22924249,0.24021314,0.2514783,0.25957224,0.26390913,0.2650104,0.26352414,0.26018867,0.25615442,0.25275257,0.25073776,0.24964233,0.24818541,0.24545032,0.24131513,0.23635887,0.23114412,0.22647071,0.2230276,0.22175872,0.2235524,0.2297983,0.24139099,0.25795004,0.27646378,0.2916695,0.29708433,0.2870119,0.2588782,0.21496308,0.16283737,0.11322039,0.07667624,0.060163464,0.06433976,0.08286504,0.10419773,0.1177058,0.11869252,0.110532515,0.10068506,0.09757727,0.107215814,0.13146114,0.16514497,0.19768105,0.21874265,0.22424226,0.2172861,0.20391445,0.18940769,0.17655963,0.16653799,0.15951796,0.15543045,0.15417758,0.15543537,0.15856893,0.16267358,0.16695161,0.17061849,0.17296325,0.17361422,0.17274635,0.17080349,0.16799581,0.16448604,0.16078013,0.15755613,0.15481439,0.15150525,0.14655973,0.14005516,0.13340372,0.1280431,0.12462454,0.122736506,0.12155346,0.11972145,0.11628916,0.110898726,0.104483,0.097772874,0.091026135,0.083667725,0.075581424,0.06718445,0.05928634,0.052489802,0.047002137,0.042770308,0.039476316,0.0367156,0.0340051,0.03099536,0.027565062,0.023871124,0.020305427,0.017455487,0.016265055,0.018116614,0.024411699,0.035554998,0.049888194,0.06380999,0.073458545,0.0774766,0.08011061,0.09124988,0.12328273,0.18089299,0.25489238,0.3214512,0.35814825,0.3571174,0.3320245,0.30415884,0.28879067,0.2866628,0.29072547,0.2941879,0.29482147,0.29281473,0.2876997,0.27935144,0.27023116,0.26733315,0.27719066,0.30066967,0.32890773,0.3490287,0.35076132,0.33235455,0.29860124,0.2592449,0.22589779,0.20984592,0.21556328,0.23733354,0.2605255,0.26890588,0.25254506,0.21332107,0.16654606,0.13397305,0.13133413,0.15775026,0.19765149,0.23317154,0.25474977,0.26294804,0.26223016,0.25650135,0.24773139,0.23695414,0.2242405,0.20861292,0.18896186,0.16579854,0.1426148,0.12430552,0.11450118,0.11247169,0.115667224,0.12190029,0.13226685,0.14656983,0.1620782,0.17247927,0.17447503,0.16898519,0.16174158,0.15698399,0.15660234,0.15891282,0.16213965,0.16447818,0.16543628,0.16532601,0.16507919,0.16507624,0.16472246,0.16351764,0.16211195,0.16243275,0.16685657,0.1776691,0.1964408,0.22275312,0.253597,0.284676,0.3126868,0.33577812,0.3522506,0.359589,0.35579264,0.34031072,0.3142,0.27843997,0.23478061,0.18662684,0.14079742,0.105507635,0.08807547,0.09093381,0.11070969,0.13834476,0.1640787,0.18185283,0.19223882,0.1987092,0.20302087,0.2028798,0.19510625,0.17906739,0.15779984,0.13544841,0.11540783,0.099842876,0.09134349,0.09366512,0.1096978,0.13843699,0.17268468,0.20299633,0.22205593,0.22870533,0.22537778,0.21654087,0.20617682,0.19819175,0.19376439,0.19162655,0.18802744,0.18009947,0.1658276,0.14595713,0.12330958,0.10387087,0.09225116,0.089691184,0.0918482,0.093473576,0.090560935,0.082535416,0.07023569,0.055614483,0.040948894,0.028665466,0.020219816,0.015644368,0.014127159,0.015201022,0.01933136,0.026964664,0.03699037,0.046418473,0.05244751,0.055470843,0.059232105,0.06938771,0.09055231,0.12643178,0.17668857,0.23567688,0.2912706,0.33212447,0.35325456,0.3578286,0.3510699,0.33561182,0.3120012,0.2820945,0.25121972,0.22588737,0.21229893,0.21442355,0.23312217,0.26350304,0.2951969,0.31624654,0.31930053,0.30478117,0.27915594,0.25045952,0.2248196,0.20574228,0.19483818,0.1922902,0.19591041,0.20083036,0.20021535,0.18828897,0.1634578,0.13084155,0.10120705,0.08653289,0.093222015,0.118503205,0.15098363,0.1770826,0.18641436,0.17690279,0.15362383,0.12736827,0.10881678,0.105324864,0.11677907,0.13708949,0.15747435,0.17225547,0.18042035,0.18407905,0.18515325,0.18525088,0.18556322,0.18695067,0.18755114,0.18555981,0.18106288,0.17842801,0.18089205,0.18812072,0.19534032,0.19844437,0.19650663,0.192194,0.18899007,0.18932109,0.19410895,0.20456344,0.2216565,0.24476351,0.26904285,0.28848484,0.29898608,0.30065203,0.29436672,0.28067294,0.25977752,0.23403549,0.20594738,0.17826527,0.15370943,0.13698618,0.13067786,0.1326039,0.13626902,0.13769302,0.13810404,0.14118601,0.14716269,0.15270208,0.15406252,0.15088035,0.1449082,0.13831253,0.13186981,0.12588815,0.12049624,0.115930416,0.11207362,0.10870451,0.1058181,0.103669085,0.10232997,0.101285696,0.09942895,0.09547589,0.088870235,0.080801055,0.073620595,0.068796754,0.06512527,0.06045181,0.054624245,0.050181404,0.049165364,0.050430212,0.051108003,0.050994202,0.054551434,0.068005204,0.09319463,0.12482599,0.152857,0.16962552,0.17393132,0.17063086,0.1655742,0.16218668,0.16074045,0.16018601,0.1596003,0.15864076,0.15733649,0.15569465,0.15353544,0.15054868,0.1467956,0.14324273,0.14119716,0.1407278,0.13893968,0.1310078,0.11365748,0.08918407,0.06559092,0.052751124,0.05627651,0.074514315,0.09932395,0.12151134,0.13540836,0.14132266,0.14335757,0.14575487,0.15020703,0.15527366,0.15866838,0.15894157,0.15688162,0.15422474,0.15244444,0.15187155,0.1519921,0.15235627,0.15274806,0.15333374,0.15407832,0.15460634,0.15433083,0.15287799,0.15057941,0.14802195,0.14574957,0.14381717,0.14216375,0.14059566,0.13887765,0.13667107,0.13388099,0.13077562,0.12801309,0.12610422,0.12511292,0.124322884,0.122861065,0.120067395,0.11566623,0.109119534,0.0996396,0.08697814,0.07233522,0.05815341,0.04679444,0.039347,0.035400454,0.033731725,0.03311528,0.032730933,0.032191828,0.031376567,0.030314252,0.029074391,0.027725069,0.02630465,0.024843207,0.023382748,0.021964684,0.02060786,0.019285703,0.017953688,0.016649561,0.015579052,0.015135673,0.015661249,0.017180823,0.01926931,0.021300472,0.022829004,0.023727534,0.024073372,0.0238736,0.023135161,0.021940798,0.020588817,0.019375883,0.018479997,0.017879575,0.017517062,0.017366793]