[0.14833385,0.14586018,0.13745137,0.12316433,0.11039164,0.10984978,0.12560166,0.15058766,0.17254002,0.18305312,0.18225412,0.1756684,0.16948251,0.16679849,0.16772433,0.1703464,0.17227377,0.17102651,0.16445468,0.15130083,0.1330701,0.114625625,0.103359796,0.10464573,0.119007766,0.14090122,0.1629621,0.1792817,0.18773794,0.18784554,0.17918126,0.16109711,0.13523199,0.10744247,0.08723087,0.08389256,0.10126094,0.13426507,0.17033996,0.19565462,0.2019298,0.1897099,0.16588084,0.13960549,0.11719587,0.100696504,0.08810923,0.07741616,0.06862123,0.06325211,0.061759602,0.062737755,0.065096825,0.06955845,0.07843668,0.09294864,0.11206367,0.13219757,0.14921491,0.15984486,0.16320764,0.16035098,0.15360679,0.14538974,0.13787405,0.13232398,0.12899832,0.12732531,0.12668604,0.12661074,0.12634611,0.124881856,0.12186689,0.11851784,0.116800226,0.117552064,0.11962173,0.12116755,0.12144133,0.12120756,0.12143955,0.12232381,0.12317833,0.12330098,0.12251511,0.12128404,0.1202404,0.11958683,0.118776746,0.11711087,0.11433693,0.11114163,0.108389296,0.10663118,0.10552424,0.10429443,0.102601826,0.10131069,0.102502145,0.107420914,0.11508199,0.12153717,0.12279742,0.11658583,0.10471835,0.09155384,0.08317722,0.08327621,0.09168067,0.10386684,0.11499525,0.12288173,0.12856136,0.13362508,0.13766311,0.13824753,0.13287337,0.121552356,0.10736697,0.095041156,0.08821029,0.08762484,0.09124052,0.09553585,0.09800208,0.09848987,0.099442564,0.10310525,0.10934523,0.115214705,0.11756665,0.11538541,0.110081464,0.10409669,0.09935518,0.09688941,0.09688542,0.09893462,0.10224309,0.106020086,0.10961434,0.11226962,0.11275809,0.11026827,0.10522511,0.099704824,0.09552741,0.09324026,0.09175649,0.0903844,0.08948222,0.09042459,0.093279205,0.095963754,0.09529539,0.09040437,0.08426806,0.08145597,0.084150046,0.09069562,0.09797186,0.104290746,0.10985101,0.11509796,0.11935387,0.12089729,0.1183343,0.111445874,0.101781555,0.09150475,0.082861654,0.07679886,0.07334861,0.071399264,0.07014245,0.06925699,0.069281265,0.07009074,0.070619345,0.06917172,0.06538952,0.060648043,0.057316694,0.056662034,0.058100004,0.059598003,0.059196413,0.056110904,0.050901268,0.044892285,0.039156925,0.034252185,0.030158537,0.026805853,0.024082435,0.021979302,0.020397184,0.019293716,0.018869778,0.019924978,0.023546875,0.030128786,0.038377907,0.045591082,0.049261976,0.04853268,0.04442298,0.03873108,0.033025376,0.028144164,0.024465768,0.02228093,0.022078542,0.024173887,0.028134042,0.03262821,0.03639521,0.039561514,0.043684665,0.05053115,0.06022501,0.071304776,0.081792764,0.0911749,0.100884795,0.11366067,0.13146247,0.15378308,0.17743196,0.19838905,0.2136824,0.22236831,0.2247926,0.22240533,0.21704775,0.21082948,0.20507221,0.20049332,0.19706364,0.19461541,0.19226463,0.18902229,0.18357694,0.17598529,0.1670773,0.15857686,0.15000977,0.1390629,0.122861385,0.10296727,0.085970245,0.07991109,0.087450095,0.10313809,0.11781671,0.12551479,0.12786454,0.13150053,0.14253299,0.16149874,0.18244088,0.19683474,0.19873394,0.18840873,0.17069943,0.15171643,0.13535096,0.12308919,0.114399105,0.10908783,0.10721752,0.1095769,0.115067005,0.12176321,0.127208,0.13123482,0.13453656,0.13798402,0.14081395,0.14244975,0.14300264,0.14380704,0.14516546,0.14620547,0.14537333,0.14240323,0.13845159,0.13533849,0.13447817,0.13574016,0.13705951,0.13443878,0.12478652,0.10845274,0.09078053,0.078543596,0.07578512,0.08075491,0.08832791,0.09405268,0.09716591,0.09982697,0.1040282,0.109798975,0.11507613,0.11814198,0.11849233,0.11723896,0.11544776,0.113621466,0.11106113,0.1067043,0.10016966,0.09345163,0.09039425,0.094108224,0.1034312,0.11296313,0.11683282,0.113303475,0.10584059,0.09963707,0.09764383,0.09872064,0.10000505,0.09945205,0.097690165,0.09642157,0.096835695,0.098151065,0.09907178,0.09906757,0.09905232,0.099921845,0.10153556,0.10282007,0.10294544,0.10192137,0.10038162,0.09886086,0.09754047,0.096255206,0.094909586,0.09350134,0.092073,0.09042907,0.08838298,0.08581274,0.08269147,0.07843549,0.07228442,0.064111136,0.05568996,0.049763385,0.04816526,0.05009916,0.053079326,0.05479735,0.05447036,0.052398264,0.04920355,0.045319106,0.041093335,0.03697063,0.03388573,0.033235814,0.036074355,0.041923672,0.048489776,0.05308786,0.054301117,0.05262102,0.04940924,0.045810204,0.0422322,0.038839027,0.036134724,0.03546551,0.03821552,0.044755895,0.053265665,0.060900178,0.0651846,0.06555661,0.062690124,0.057844367,0.052583884,0.049631316,0.05359332,0.069422565,0.09909642,0.13744934,0.17246182,0.19085068,0.18711434,0.16845931,0.15090573,0.14845943,0.16356206,0.18636252,0.20327115,0.20668705,0.19887757,0.18737246,0.17864954,0.17422293,0.17230614,0.17045051,0.16896957,0.16991867,0.17523037,0.18203217,0.18405664,0.17589617,0.15957355,0.14360298,0.1361243,0.13786764,0.14237751,0.14335074,0.14050706,0.13881223,0.14234741,0.14955951,0.15462549,0.15205194,0.14148466,0.12759861,0.11704513,0.11362532,0.11645681,0.12166482,0.12598799,0.1290448,0.13156873,0.13287425,0.13045,0.12663399,0.13373494,0.1723271,0.25209785,0.35883954,0.4536561,0.5027024,0.49622998,0.45535478,0.40727326,0.37061954,0.34735346,0.33324966,0.32271388,0.31238434,0.29950988,0.28248122,0.26138332,0.23718096,0.21080796,0.18218428,0.15216501,0.12311108,0.09847324,0.0802098,0.070260696,0.07305733,0.0980647,0.14946143,0.21760981,0.27531084,0.29847732,0.28185588,0.24448608,0.20975427,0.19007094,0.18197721,0.1760978,0.16568935,0.15023386,0.13382368,0.12196236,0.117824584,0.11986641,0.122151576,0.12019178,0.11625031,0.12264884,0.14942254,0.19399042,0.2349273,0.25516376,0.26027864,0.28144583,0.34206116,0.4303279,0.5025142,0.5181958,0.47248125,0.39298764,0.3165354,0.26347974,0.23668885,0.22989005,0.24171984,0.2787103,0.34676456,0.4374144,0.52025026,0.5596485,0.53734654,0.46652326,0.37879732,0.30160373,0.24516796,0.20502631,0.17638238,0.16182534,0.1713389,0.20856303,0.26151893,0.30392632,0.31429398,0.28990445,0.2476592,0.20853907,0.18581164,0.18083,0.18654843,0.19337146,0.1958128,0.19775677,0.20746839,0.22963583,0.25781214,0.28219524,0.2958896,0.3015641,0.30389646,0.3074164,0.3118277,0.31797144,0.32916093,0.35547122,0.40415707,0.47077775,0.53158665,0.5582674,0.53706855,0.47981426,0.4131759,0.3591574,0.32630298,0.31012043,0.30313727,0.29815534,0.29254207,0.28593862,0.279966,0.2756599,0.27361572,0.27373812,0.2756596,0.27872148,0.28225085,0.28579524,0.2898886,0.29701993,0.311192,0.33322653,0.3551488,0.35993776,0.33215937,0.2705317,0.19142652,0.117851935,0.06547843,0.036414076,0.023878997,0.019659927,0.019270234,0.022318989,0.031039655,0.04567029,0.06272266,0.07483902,0.078500725,0.07850649,0.08991472,0.12628494,0.18676265,0.24933767,0.2875745,0.29585505,0.3012624,0.33833325,0.41431537,0.49483657,0.5343053,0.51152104,0.44330272,0.36341223,0.29719442,0.25238755,0.22568806,0.215715,0.22891957,0.2754364,0.3554623,0.44659504,0.51173544,0.5204048,0.47252724,0.3940216,0.3202505,0.2719516,0.25188905,0.24816811,0.2495385,0.2538779,0.26739356,0.29323366,0.3205971,0.3329281,0.32089767,0.29272878,0.26359,0.24414761,0.23363583,0.22509764,0.21248561,0.19553821,0.1815074,0.1804441,0.1991088,0.23338132,0.27100602,0.29817942,0.3091781,0.30742413,0.3015798,0.2992084,0.30347657,0.31609473,0.34074458,0.38348213,0.4431026,0.50404406,0.54040223,0.534363,0.48985362,0.42828998,0.37181163,0.33002186,0.30229208,0.28425843,0.2738533,0.2696731,0.27116007,0.27714667,0.28607664,0.29440653,0.29824567,0.29543367,0.2875013,0.27788183,0.26958802,0.2638377,0.26225343,0.26806316,0.2854559,0.3124304,0.33845294,0.3470508,0.32980028,0.29200545,0.25035518,0.21898155,0.2029162,0.19823271,0.19845426,0.1978481,0.1931079,0.18415724,0.17416257,0.16652936,0.16058874,0.1510892,0.13549419,0.120671146,0.12326708,0.15196358,0.19737281,0.23257296,0.2438492,0.24586618,0.2739997,0.345625,0.43761262,0.502075,0.5036428,0.44734094,0.3670622,0.29930094,0.2588074,0.23847014,0.22515126,0.21773039,0.2339685,0.29100218,0.383925,0.47467914,0.5200551,0.4998691,0.4319247,0.35106924,0.2864538,0.2483223,0.23306553,0.23318128,0.2453653,0.26983047,0.30337894,0.33310756,0.34242478,0.3237703,0.28565055,0.24511464,0.21479982,0.19721629,0.18829978,0.18329443,0.18009757,0.18028408,0.1887141,0.2092963,0.23995447,0.27142516,0.29355252,0.3022571,0.30048952,0.29376206,0.28519008,0.27632904,0.27046165,0.27645656,0.30714813,0.36859417,0.44946674,0.51951414,0.5486918,0.5272943,0.47082707,0.4056879,0.35009554,0.31133875,0.2878021,0.27705514,0.27414605,0.275182,0.27666894,0.27789685,0.2782468,0.27790958,0.2773421,0.27817127,0.28112805,0.2857536,0.2907653,0.29647073,0.30549803,0.32173944,0.34421647,0.36319426,0.3611519,0.3261473,0.2614403,0.18641786,0.12187412,0.078734025,0.054960355,0.043104883,0.037020665,0.03563364,0.042555004,0.063187085,0.09820229,0.1394859,0.17152376,0.18338995,0.17746037,0.17147206,0.18241964,0.21226221,0.24264924,0.2553913,0.25413644,0.26758185,0.3209655,0.40539145,0.47880206,0.49836215,0.45583954,0.3770295,0.30015957,0.2467214,0.21835804,0.20366335,0.19760735,0.20964576,0.25670734,0.34250936,0.43998218,0.5061826,0.5099462,0.45781562,0.38214815,0.3175341,0.27790388,0.2583763,0.24725421,0.23992364,0.2417416,0.2589644,0.28784952,0.31084195,0.31026566,0.27967972,0.2300734,0.17831798,0.13993447,0.12030185,0.11647296,0.11879426,0.11999944,0.11968436,0.12383605,0.13725048,0.15854532,0.1810972,0.19844608,0.2075928,0.20843947,0.19991237,0.17987883,0.15019165,0.12401593,0.1262775,0.17755926,0.27651492,0.38987878,0.47451624,0.5022139,0.47916207,0.43139192,0.3859073,0.35404328,0.33507732,0.3232285,0.31458786,0.30768278,0.30254737,0.29936004,0.2977607,0.29697683,0.2962109,0.2950592,0.29358295,0.2919128,0.29037377,0.28972816,0.29239598,0.3021377,0.3213582,0.34603503,0.3651259,0.36671457,0.3484927,0.3202647,0.29729265,0.2886577,0.2930118,0.30178726,0.3069438,0.30565467,0.30087826,0.29779828,0.29975435,0.3060857,0.3128836,0.3166186,0.3171265,0.31885076,0.3263822,0.33897766,0.3491672,0.35087,0.34959945,0.36343074,0.4064635,0.47247586,0.53077745,0.55022043,0.51976305,0.45800146,0.39363074,0.34811687,0.32548037,0.3198773,0.326025,0.3465533,0.38934657,0.4545997,0.5250881,0.56979257,0.5664785,0.51720095,0.44684958,0.3812294,0.3334526,0.302223,0.28313354,0.27475277,0.28042927,0.30142984,0.33173838,0.35593045,0.35893837,0.33595788,0.2963514,0.25381017,0.21635312,0.18267888,0.14873257,0.114503466,0.08698696,0.077054,0.09252315,0.13169284,0.18159586,0.22502732,0.25108877,0.260246,0.26107523,0.2612776,0.26393256,0.268501,0.27677706,0.297261,0.3407998,0.4106153,0.48946276,0.54724437,0.55724484,0.5181063,0.44999492,0.38264132,0.33524826,0.3131005,0.3083661,0.30976078,0.30888417,0.3047868,0.3013382,0.30214646,0.3061546,0.30911112,0.30705383,0.3001248,0.2913673,0.28435984,0.28061196,0.2811397,0.28830782,0.30643645,0.3357079,0.36888194,0.39158353,0.3942,0.377224,0.35154065,0.327281,0.30944034,0.29737875,0.2895919,0.28505528,0.28328422,0.28389764,0.28656828,0.29047537,0.29406402,0.29556778,0.29601884,0.29961324,0.31305155,0.33718538,0.36508492,0.38350043,0.3886807,0.39212212,0.4141498,0.46158838,0.5161536,0.54638463,0.5318994,0.47916803,0.4130069,0.35754064,0.32313478,0.30567575,0.29915503,0.30330655,0.32897854,0.38286006,0.45787516,0.52524334,0.5557144,0.5353573,0.47725618,0.40596807,0.34385613,0.30070576,0.27695775,0.26924852,0.27570006,0.29588735,0.32628313,0.35550556,0.36808404,0.3535268,0.31392273,0.2614936,0.21146858,0.17486304,0.15523767,0.14906819,0.15039043,0.15658545,0.17052186,0.19504899,0.22764127,0.2587953,0.28074917,0.2919419,0.29895034,0.30728874,0.31878462,0.3292202,0.33728233,0.34650624,0.3692272,0.4124377,0.4718207,0.52296406,0.5419362,0.51725227,0.46264413,0.4000694,0.3477126,0.31055176,0.28673467,0.27331483,0.26797676,0.26848245,0.2713692,0.2740784,0.2748501,0.27383706,0.27145022,0.26885715,0.26658008,0.26520744,0.26450336,0.26532564,0.26990607,0.28274584,0.30492195,0.33099893,0.3476574,0.3449074,0.3228166,0.29383597,0.2712061,0.262218,0.2654457,0.27611306,0.28876767,0.29944614,0.3062051,0.3096117,0.31170627,0.31410673,0.31728086,0.32148206,0.32804158,0.33925894,0.35503802,0.37095177,0.37996593,0.3810952,0.38451692,0.40732205,0.4567478,0.5184644,0.56087154,0.5579956,0.50800884,0.43313685,0.36165115,0.3106437,0.28310132,0.27480197,0.28426036,0.3153501,0.37177682,0.4462521,0.514621,0.5479401,0.5316095,0.4777925,0.4134219,0.36150634,0.32886338,0.31164658,0.30476728,0.30737284,0.3211638,0.34368345,0.36602584,0.37366006,0.35830042,0.3223789,0.27889252,0.2385803,0.2045371,0.17280512,0.14029394,0.109588094,0.08834661,0.08652824,0.10937836,0.15459935,0.20932591,0.2588327,0.29219893,0.3093909,0.31571653,0.317647,0.3181869,0.3193958,0.32667717,0.34995008,0.39789653,0.4661738,0.5319453,0.56469965,0.54610944,0.48495767,0.40791738,0.3429143,0.30102596,0.28005913,0.26955923,0.26184765,0.25004318,0.23005496,0.1990593,0.1597066,0.11869875,0.0838059,0.058746982,0.042528067,0.03191209,0.024492899,0.019422038,0.016463943,0.015234957,0.015292104,0.01647141,0.018823467,0.022124939,0.02621149,0.031874333,0.042261615,0.061077345,0.08960257,0.12287464,0.15195538,0.16838883,0.1706454,0.1643693,0.15911534,0.1611231,0.16976513,0.17867132,0.181904,0.17856467,0.17262425,0.16888206,0.16914631,0.17215617,0.17514539,0.17654182,0.17640269,0.17643677,0.17801295,0.18114914,0.18400407,0.18498407,0.18425041,0.18400298,0.18557727,0.18770723,0.18707389,0.18178265,0.17306858,0.16396531,0.15617073,0.14859979,0.13882951,0.12576376,0.111707,0.101794094,0.10076556,0.10880414,0.120212816,0.12745434,0.12683012,0.12140662,0.117625445,0.11985531,0.12693077,0.13370939,0.1364425,0.13712971,0.1430703,0.16027117,0.18700983,0.21397667,0.23126228,0.23642187,0.23511702,0.23597024,0.24194658,0.24814177,0.24494694,0.22805637,0.20331633,0.18417513,0.18037193,0.1914293,0.21225297,0.24395823,0.29816422,0.3799326,0.4749919,0.54697853,0.5669454,0.53041,0.46350133,0.39639297,0.34847036,0.3199216,0.30363104,0.29204974,0.28321266,0.27845898,0.27949098,0.28464577,0.28897026,0.28822032,0.28239736,0.27619705,0.274161,0.2768351,0.28005806,0.2803745,0.27994266,0.28781116,0.3105097,0.3443948,0.3728368,0.38089797,0.36529025,0.3382413,0.31389204,0.2998649,0.2943677,0.2926375,0.2912269,0.28907776,0.28677467,0.28471643,0.2827927,0.27962294,0.27448454,0.26896468,0.26810518,0.2786539,0.3032196,0.33648595,0.36631313,0.3859513,0.40296766,0.43498254,0.49006987,0.55172706,0.5882687,0.5770437,0.52300435,0.45047346,0.384303,0.33566868,0.30415145,0.28673986,0.28513494,0.30870485,0.3644134,0.44548693,0.5227387,0.5615783,0.54444975,0.48404577,0.41024947,0.34719226,0.30370608,0.27662113,0.26353407,0.26522052,0.28415576,0.31681263,0.35235074,0.37613365,0.37959635,0.36439577,0.34117135,0.3207154,0.30868196,0.30351084,0.29973522,0.2932767,0.28379336,0.27561378,0.27235785,0.2754589,0.2819734,0.28895876,0.29466823,0.2996807,0.304656,0.30915394,0.3127549,0.31750986,0.33082116,0.36367717,0.42144266,0.49423656,0.5550041,0.5763841,0.54888475,0.48805955,0.42086688,0.36746275,0.33399868,0.3154041,0.30491224,0.29718122,0.291559,0.28939712,0.29249907,0.29939017,0.30588508,0.30782697,0.30481884,0.3008605,0.30030802,0.30367818,0.30735958,0.3093516,0.31383246,0.3275251,0.3511003,0.3748416,0.386005,0.37927422,0.35960558,0.33667338,0.3170413,0.30333424,0.29446507,0.288259,0.28209424,0.27569744,0.27104485,0.2694055,0.2687553,0.26432955,0.25468275,0.24452172,0.24417455,0.25998423,0.28758752,0.31091318,0.31783196,0.31380165,0.32387546,0.36845526,0.44197035,0.50996464,0.5354092,0.50506556,0.43534204,0.35847142,0.29913658,0.2665563,0.25460103,0.2575775,0.2783959,0.32674822,0.40326524,0.485634,0.5383596,0.53388983,0.47706652,0.39737162,0.33195946,0.29849026,0.29446185,0.3036597,0.3154646,0.32941172,0.35014912,0.37594447,0.39501703,0.39653262,0.3790685,0.35299858,0.32986665,0.3157801,0.31001735,0.3082672,0.3072109,0.30524728,0.30406332,0.3053197,0.3099571,0.31682214,0.32446253,0.3316623,0.33773097,0.34266636,0.34669027,0.34976962,0.35166112,0.3549719,0.36823532,0.40243098,0.4599537,0.52453893,0.56656307,0.5619521,0.51037705,0.43433514,0.36323586,0.3148286,0.29077163,0.28191757,0.27925053,0.27815104,0.27875748,0.28102764,0.28323662,0.2821577,0.27734026,0.27149066,0.26952314,0.2739619,0.2841853,0.29653355,0.30858576,0.32099617,0.3381108,0.36084867,0.38369024,0.39445317,0.3869364,0.3640947,0.3379296,0.31632224,0.30126765,0.2891512,0.2779965,0.2681283,0.2618027,0.26145816,0.2678031,0.27849743,0.2874448,0.28846398,0.2810197,0.2725681,0.27531615,0.29362702,0.32000968,0.33845115,0.3448024,0.35331103,0.38731417,0.45215937,0.5226547,0.55859584,0.535634,0.46531215,0.38489854,0.3290179,0.30877802,0.31049368,0.31726387,0.32463145,0.34622124,0.39389646,0.46187568,0.52092296,0.53978926,0.50741047,0.441493,0.37367305,0.32735422,0.3075205,0.30488074,0.3100437,0.32072297,0.33960474,0.36454603,0.38496152,0.3879219,0.3702855,0.34101573,0.3146065,0.29826447,0.2900431,0.28298387,0.2738044,0.26516894,0.26247907,0.26956737,0.2846184,0.3029959,0.31866166,0.327989,0.32858276,0.32030562,0.30572703,0.2895123,0.27697015,0.2721505,0.28173804,0.31508306,0.3774377,0.4574704,0.5248558,0.5481778,0.5164663,0.44864812,0.37640962,0.32436204,0.29735565,0.28772643,0.28467175,0.28281593,0.28126696,0.28104877,0.28192875,0.28220186,0.2807176,0.27763045,0.2747515,0.2730453,0.27233684,0.27109656,0.2698491,0.2724391,0.28633708,0.31459352,0.35079622,0.3773751,0.37969902,0.3556119,0.31884095,0.28544435,0.26448438,0.25486496,0.25181437,0.25177732,0.2536988,0.25783896,0.2637804,0.27014372,0.27453327,0.27536842,0.2735522,0.2733502,0.28088486,0.29827407,0.32057202,0.33683094,0.34260428,0.34735036,0.37127566,0.4253718,0.49558887,0.54811066,0.5522127,0.50518984,0.43108928,0.36486068,0.32737407,0.31927145,0.3273618,0.3410691,0.36291957,0.401793,0.4602332,0.51984435,0.5531128,0.5396814,0.48614594,0.41722274,0.36015153,0.3261532,0.31109652,0.30557358,0.30583933,0.31623337,0.3386084,0.36621484,0.38307366,0.37949535,0.35763428,0.3312391,0.31179798,0.30397895,0.30427888,0.30631876,0.30380228,0.2942073,0.280894,0.2708825,0.26985708,0.27740815,0.28851226,0.29764187,0.30232933,0.3024232,0.2985045,0.29098436,0.28279674,0.2810186,0.29806614,0.3428662,0.41263595,0.4854469,0.53270936,0.5346823,0.49506667,0.43489268,0.3791031,0.34213176,0.32458147,0.31848133,0.31550014,0.31224906,0.30910045,0.30694994,0.3050481,0.3025601,0.29985616,0.298305,0.29841706,0.29920623,0.29930115,0.29852244,0.29983392,0.30866715,0.32995793,0.36115113,0.39075705,0.4039135,0.39486375,0.37055603,0.34507072,0.3278264,0.32018825,0.31811413,0.31785592,0.31754172,0.3169453,0.3168279,0.31809148,0.321176,0.3246419,0.32671118,0.32716787,0.32963493,0.3387232,0.3544387,0.36967143,0.37628305,0.37604892,0.3834573,0.41304982,0.46326134,0.5111325,0.5290236,0.50352716,0.44470587,0.37559208,0.31693056,0.27786693,0.257753,0.25516215,0.27419424,0.32153413,0.39524135,0.47570053,0.53214985,0.5406353,0.4999127,0.4301027,0.35849437,0.3043578,0.27346182,0.26214823,0.2653058,0.28215182,0.3125525,0.3516653,0.38520345,0.3990594,0.38736662,0.35812655,0.32550028,0.30131212,0.29067054,0.29133928,0.29878935,0.30690524,0.31307185,0.3160918,0.31760922,0.31782463,0.31673694,0.31338593,0.30837893,0.30346152,0.3007739,0.30121276,0.3036864,0.30853665,0.32087195,0.35107064,0.40398255,0.46928754,0.5208352,0.5354716,0.50862306,0.45784238,0.40579823,0.36700055,0.34286854,0.32884657,0.32025048,0.31451622,0.3108986,0.30845973,0.30620554,0.30240214,0.2968608,0.2907847,0.28659698,0.28530753,0.2861087,0.2872165,0.28889978,0.29464105,0.30985597,0.33528888,0.36426976,0.3835459,0.38476944,0.36889502,0.3468338,0.3287374,0.31938037,0.31664237,0.316072,0.3143257,0.31053567,0.30630103,0.30363145,0.3035834,0.3053989,0.3077807,0.3116523,0.32056347,0.33941373,0.3669194,0.39533964,0.41296336,0.41882554,0.42457643,0.447872,0.49232158,0.5402599,0.5637091,0.54487437,0.49066654,0.42420277,0.37043226,0.3399016,0.33025706,0.33344844,0.34733018,0.3784745,0.4319571,0.50075597,0.55860764,0.5787925,0.5490801,0.48515642,0.4143115,0.3608378,0.33156025,0.3209369,0.32005408,0.325889,0.3407444,0.36463857,0.38984323,0.4038199,0.39950636,0.3801862,0.3565638,0.33787,0.32813045,0.3259264,0.3275435,0.32874164,0.32699272,0.32290527,0.31940576,0.31930676,0.32182384,0.3233062,0.32025152,0.31356844,0.3084679,0.31013367,0.31984922,0.3357605,0.35823986,0.39315212,0.4440259,0.50385875,0.5497677,0.55960256,0.524862,0.46107233,0.3935859,0.34403393,0.3173748,0.3055212,0.29663253,0.28523624,0.27404818,0.2681669,0.26904893,0.27268305,0.27373156,0.26967505,0.26266572,0.2572713,0.2565745,0.25994286,0.26487496,0.27174115,0.28630975,0.3133397,0.34881988,0.37642363,0.38013104,0.35603556,0.31760857,0.284304,0.26987562,0.27651,0.29725453,0.32165036,0.33962062,0.3463358,0.34271947,0.33413282,0.32422554,0.31288567,0.2985818,0.28429034,0.27922454,0.29138055,0.3194798,0.35069427,0.37380615,0.39023325,0.41530088,0.46001554,0.5165019,0.5579807,0.5585501,0.5124133,0.43748745,0.3627037,0.309095,0.28162026,0.2735419,0.279302,0.30303943,0.35203338,0.424057,0.4968733,0.53982836,0.53254926,0.48080745,0.41015825,0.34854636,0.3107591,0.2955114,0.29440346,0.30113614,0.3163894,0.34066153,0.36821795,0.3852394,0.3826207,0.3627282,0.33922055,0.32315055,0.31734082,0.31694686,0.31676355,0.31403252,0.30853617,0.30221117,0.29760793,0.2967492,0.29823998,0.29916978,0.29605436,0.28917578,0.27963552,0.2704492,0.26137626,0.25487158,0.25531706,0.2756816,0.32564238,0.4043057,0.48712826,0.5409202,0.54039145,0.4904815,0.4169408,0.35171798,0.3099521,0.29117426,0.28443328,0.28115365,0.27682915,0.27083954,0.2633959,0.25440687,0.2438153,0.23181246,0.21999377,0.21090592,0.20684487,0.2072395,0.20755707,0.20163767,0.18666144,0.16741376,0.1538056,0.15432388,0.16819364,0.18636519,0.19725615,0.19603114,0.1858937,0.17476963,0.16714399,0.16138363,0.15154018,0.13499026,0.11646404,0.10664328,0.11349195,0.13617583,0.16528933,0.19049005,0.20672987,0.21534966,0.21967916,0.22052217,0.21465804,0.1979339,0.17065543,0.1404771,0.11936969,0.114884935,0.124341585,0.13530271,0.13495333,0.11779895,0.08908907,0.058960322,0.036022503,0.023105003,0.019390047,0.023870096,0.036722064,0.057585757,0.082339294,0.103483774,0.11276576,0.106613226,0.087630294,0.06329996,0.041015327,0.02506759,0.016330056,0.015114562,0.024048368,0.046944216,0.08365244,0.12430372,0.1534415,0.16116412,0.15474737,0.15307964,0.1719877,0.20983505,0.25143304,0.2808495,0.2929462,0.29319337,0.28992295,0.2879295,0.28642678,0.28283158,0.27588776,0.26672515,0.2563891,0.24362405,0.22678982,0.2066651,0.18889785,0.17996295,0.18367285,0.19805257,0.21786205,0.23708332,0.251249,0.25711015,0.25175592,0.23289175,0.20107085,0.16223998,0.12687393,0.10595375,0.10584411,0.1266359,0.1619023,0.20152123,0.23388422,0.25146434,0.2527435,0.24349397,0.23103152,0.22024731,0.20880549,0.19176425,0.16660683,0.1395023,0.11943766,0.1119088,0.11308796,0.11671593,0.120020114,0.12724887,0.14385514,0.17085786,0.20289451,0.23069394,0.24687149,0.24800624,0.2363645,0.2167211,0.1953222,0.17676102,0.16367589,0.15600844,0.15274769,0.15273768,0.15514009,0.15821518,0.15966803,0.15759827,0.15286957,0.14832388,0.14759694,0.15168957,0.15918066,0.16640407,0.17066514,0.17095369,0.16849498,0.16477387,0.1607338,0.15657985,0.15258107,0.14909352,0.14631312,0.14413364,0.1426828,0.14235185,0.14354075,0.14586578,0.14831449,0.14955953,0.148892,0.1463869,0.14308812,0.14056833,0.14028172,0.14221092,0.14398591,0.14157619,0.13214417,0.11668744,0.10050928,0.08995562,0.088563,0.09479024,0.10415926,0.112844706,0.120366015,0.12833278,0.13778003,0.1471117,0.15302871,0.15233491,0.14428021,0.13075648,0.11600027,0.10368835,0.095632404,0.090805896,0.08811747,0.087938815,0.09289593,0.10471123,0.1219162,0.13913591,0.1507369,0.15409425,0.15107585,0.14554529,0.14079185,0.138023,0.13730021,0.1385803,0.14229862,0.14832248,0.15526871,0.1604753,0.16197985,0.15980361,0.15642661,0.15463087,0.15590791,0.15881276,0.16044827,0.1576752,0.14963043,0.13741462,0.12362904,0.11017498,0.09766718,0.08604017,0.076399975,0.07183095,0.07506275,0.0858303,0.09985674,0.11252013,0.12171221,0.1288565,0.13570674,0.14260419,0.1477078,0.14891,0.14489265,0.13651931,0.126445,0.11817647,0.11377835,0.11298794,0.11370578,0.11402085,0.11322866,0.11161539,0.10936157,0.106105365,0.101444505,0.095613144,0.08980086,0.085516185,0.08368526,0.08369917,0.08353845,0.080906264,0.07482541,0.06623352,0.057232726,0.049647223,0.044212926,0.040626958,0.038203146,0.036321133,0.034652572,0.033068195,0.031515222,0.029969512,0.028573366,0.02788081,0.028574912,0.030951597,0.03429826,0.037386473,0.039186284,0.03959507,0.03906381,0.038076926,0.036713544,0.034894556,0.032944676,0.03216582,0.03457286,0.041547615,0.0522784,0.063706376,0.07272937,0.07868694,0.084114306,0.092259824,0.10432915,0.118213,0.13109207,0.14222096,0.15434651,0.17083889,0.19287783,0.21773183,0.24100447,0.2588866,0.27008495,0.2752883,0.27635586,0.27519274,0.27340695,0.2718704,0.27101287,0.27065536,0.27079117,0.27063677,0.26891753,0.26345444,0.2536713,0.24181162,0.23203354,0.2263456,0.22053386,0.20719652,0.18198812,0.15120544,0.1280324,0.12371263,0.13711925,0.15620719,0.16791385,0.16862492,0.16599667,0.16972016,0.18352968,0.20111246,0.21320571,0.21275717,0.2002244,0.18086565,0.16239774,0.15004413,0.14472823,0.1432422,0.14162336,0.13849081,0.13532789,0.13435173,0.13574684,0.13748772,0.13719137,0.13446873,0.13137205,0.13027944,0.1316821,0.13402463,0.13584454,0.13717864,0.13875102,0.14043468,0.14116104,0.14003335,0.13713972,0.13318186,0.12912168,0.12542342,0.12154841,0.11570386,0.106722146,0.096137434,0.088643976,0.08855596,0.09644774,0.1079978,0.11794705,0.12328756,0.12522905,0.12633707,0.12846868,0.13070536,0.13115619,0.12844534,0.1233109,0.11743679,0.1123526,0.108587526,0.106134,0.10472908,0.10429575,0.10499218,0.107429676,0.11148428,0.11597737,0.118449606,0.11773464,0.1146735,0.11243438,0.11315783,0.116642974,0.11999482,0.120805286,0.11940006,0.11872954,0.12165946,0.12774675,0.13390748,0.13662143,0.13495399,0.12990212,0.123233914,0.11602739,0.10897374,0.10243067,0.09666819,0.09188052,0.088363834,0.08630359,0.085350834,0.084662,0.08334858,0.08117902,0.078607924,0.076505266,0.07554346,0.07578045,0.07654273,0.07683981,0.07629854,0.07512472,0.073595695,0.07072351,0.06520226,0.056563254,0.046644896,0.038173,0.033020347,0.03087636,0.03009892,0.029559446,0.029907838,0.03355434,0.04222304,0.05513179,0.068152726,0.07701216,0.07954576,0.07708038,0.071947776,0.06598786,0.059563264,0.052452832,0.044253033,0.034926005,0.025029505,0.01584771,0.008713846,0.0042820163,0.0021439553,0.00138091,0.001153483,0.0010588638,0.0010523979,0.0023189227,0.008771159,0.02776795,0.066104375,0.12280643,0.18483181,0.2316118,0.24696432,0.22738396,0.18304195,0.12994726,0.08289134,0.05004387,0.034076277,0.035543423,0.05632347,0.096493065,0.1487657,0.19635577,0.22283523,0.22402072,0.21293236,0.20802121,0.21905802,0.24041252,0.25978217,0.2687957,0.26859722,0.26508084,0.26330367,0.2637485,0.26414824,0.26190278,0.25651357,0.25007826,0.24588214,0.24571814,0.24653018,0.2445575,0.24279867,0.25984868,0.31677213,0.41842747,0.5339551,0.6160631,0.628572,0.5752277,0.4884824,0.40710154,0.35116056,0.32073763,0.30524316,0.29541743,0.28732792,0.27972737,0.2706946,0.25714007,0.23821838,0.21741915,0.20102356,0.19278269,0.19020714,0.18644404,0.17741746,0.16871732,0.1747726,0.20808041,0.26634952,0.32930517,0.37206376,0.38261923,0.36893594,0.3483354,0.33300537,0.32402346,0.31625262,0.30566594,0.29173377,0.2774599,0.2662706,0.26118043,0.2605779,0.25932518,0.25036517,0.2335775,0.21852382,0.22001056,0.24224658,0.27160263,0.2878876,0.28909945,0.30024087,0.3500444,0.43891835,0.5285799,0.57267255,0.5497224,0.477465,0.39137053,0.32042387,0.2725335,0.24167655,0.22293131,0.22502194,0.26527125,0.35015038,0.45605278,0.5364804,0.55140394,0.497564,0.4073063,0.32363823,0.2709541,0.24981505,0.24798985,0.2578063,0.28053546,0.317924,0.36141583,0.38927683,0.38368985,0.34383464,0.2909514,0.24942814,0.23297761,0.23769248,0.25111476,0.26168644,0.26596856,0.27038297,0.28497425,0.31444064,0.3508694,0.3794651,0.38947096,0.3825017,0.36833695,0.35602185,0.34774175,0.34224954,0.34138235,0.35509717,0.39467946,0.46118614,0.53429407,0.58086467,0.57399076,0.51371104,0.42544055,0.34381017,0.29058313,0.26686034,0.25908443,0.2534792,0.24544819,0.2385999,0.23710571,0.24035113,0.2439838,0.24498777,0.24413763,0.24550335,0.25305113,0.26830816,0.28957173,0.31382322,0.33980522,0.36802864,0.39626446,0.41562048,0.4132301,0.38319603,0.33250448,0.27843145,0.23675944,0.21392596,0.20510446,0.19857459,0.18404174,0.1591082,0.13144018,0.110530704,0.100191504,0.095006466,0.08837686,0.08090511,0.08411893,0.113182046,0.17006548,0.23704748,0.28425273,0.30039367,0.30493414,0.3353745,0.40896,0.502549,0.570002,0.57594347,0.5225162,0.43920544,0.36273816,0.3124377,0.2882152,0.27912736,0.2817904,0.30675656,0.36692667,0.45634666,0.54132336,0.5813775,0.55709296,0.48538497,0.40206566,0.33903888,0.30704394,0.3005538,0.30812374,0.32427177,0.3484408,0.37841165,0.4033527,0.40936354,0.39034238,0.35368088,0.31376505,0.28118715,0.25810415,0.24002035,0.22162998,0.20170243,0.18734728,0.19110066,0.22111297,0.271818,0.32467112,0.3621112,0.37747982,0.37770966,0.3726804,0.369843,0.36999977,0.37349066,0.3833108,0.41000465,0.4606681,0.53043276,0.59287983,0.6188951,0.5919041,0.5239725,0.44125617,0.37080488,0.3243936,0.3006904,0.2900692,0.28397202,0.2776593,0.26920843,0.25610614,0.23559463,0.20812245,0.17912717,0.15614365,0.1431038,0.1377012,0.13323694,0.12580664,0.11997283,0.13068636,0.16993189,0.23474376,0.30008748,0.33908117,0.33964753,0.31412995,0.28232682,0.2585593,0.24544692,0.24000919,0.23811615,0.23594356,0.23134428,0.22402845,0.2142437,0.19963248,0.17607446,0.1447299,0.11708653,0.11305227,0.14438818,0.20259206,0.2585021,0.28808463,0.29473755,0.310219,0.362687,0.44671157,0.5239124,0.5544617,0.52741843,0.46334994,0.39344227,0.3377024,0.29714957,0.26465896,0.23978849,0.23942478,0.28355286,0.37440705,0.47949743,0.5509309,0.5560572,0.5026925,0.42838454,0.37223575,0.35045567,0.3549185,0.36955646,0.3851262,0.40227535,0.4213364,0.4356331,0.43305138,0.40861616,0.36891043,0.3285739,0.2976268,0.27798638,0.26547584,0.25585192,0.24678509,0.2390787,0.23814745,0.25102136,0.2804235,0.31846225,0.3515457,0.36865088,0.36850598,0.35642585,0.3394998,0.3228953,0.31000277,0.30266872,0.30128202,0.30437982,0.3089981,0.31156436,0.31055108,0.3069853,0.3022103,0.29321727,0.2729452,0.23601742,0.18559323,0.13328955,0.09194239,0.06825669,0.060257744,0.061419744,0.06498469,0.06775544,0.06931063,0.07048183,0.07075453,0.068452545,0.062345732,0.053339604,0.044504616,0.039251864,0.039725427,0.04553416,0.054206997,0.0621746,0.06686985,0.06746691,0.064831704,0.05993852,0.053409617,0.045684695,0.037943017,0.032093175,0.029933289,0.031985313,0.036929373,0.04231603,0.04598018,0.047293667,0.04687682,0.045584258,0.043442696,0.040079582,0.0354667,0.030580707,0.02687936,0.025532166,0.026713708,0.029625377,0.033321615,0.038283825,0.04819134,0.06922149,0.10636554,0.15672773,0.20738173,0.23969173,0.24203753,0.21846557,0.18848991,0.17333774,0.1826701,0.20901819,0.23706357,0.25556254,0.26489428,0.27238354,0.28344014,0.2959362,0.302995,0.30165827,0.29543173,0.29129913,0.2908659,0.28991702,0.28171945,0.26316512,0.23650964,0.20827179,0.18669854,0.17594784,0.17383201,0.1729821,0.1689642,0.16327971,0.16237974,0.17052998,0.18772395,0.20909484,0.22975731,0.24516852,0.25215164,0.24554323,0.22163673,0.18265511,0.14415313,0.13279922,0.17424309,0.27400592,0.40516356,0.5193958,0.5738948,0.5597864,0.50144786,0.4369911,0.39119986,0.3689578,0.36127326,0.35751775,0.3513478,0.34145156,0.33066168,0.32263574,0.32009864,0.32244077,0.326991,0.33037817,0.3305911,0.32760474,0.32314765,0.3210295,0.3263455,0.3439101,0.37196562,0.4006107,0.41442513,0.40592515,0.38033292,0.35419324,0.34043846,0.3417585,0.3492131,0.3525398,0.34714723,0.3375421,0.3312917,0.3322802,0.33715394,0.33943507,0.336031,0.33117905,0.3342487,0.3530285,0.38503096,0.4168348,0.43203732,0.42831698,0.42232296,0.43905735,0.48834118,0.55304235,0.5991177,0.5998263,0.55481344,0.48766208,0.42782676,0.3909367,0.37479052,0.37031564,0.3756279,0.39972016,0.44884872,0.513802,0.5661908,0.5807665,0.55170804,0.4984925,0.4443852,0.40231884,0.3708732,0.34627974,0.32978225,0.32796115,0.3451047,0.3764682,0.40716,0.4215313,0.4136974,0.3911715,0.36588362,0.34500802,0.32833818,0.31379274,0.30131543,0.2930477,0.29078516,0.2946927,0.3033478,0.31407145,0.32400414,0.33070767,0.3339387,0.33494702,0.33700004,0.34228066,0.35235894,0.36733964,0.39003897,0.42612016,0.47830704,0.5385737,0.58336633,0.58967686,0.5486199,0.4787037,0.4086345,0.36256897,0.34319076,0.34075415,0.34234548,0.34375584,0.34612432,0.3520306,0.3593558,0.36332145,0.35907027,0.34672117,0.33087444,0.31759807,0.30944452,0.3048114,0.30231008,0.304389,0.31781325,0.34527263,0.38111487,0.41029406,0.42134884,0.41391018,0.40086675,0.39547423,0.40241316,0.41475293,0.42148888,0.41473806,0.39504173,0.37049386,0.3520645,0.34568754,0.34902668,0.3543861,0.35703623,0.35890338,0.36679113,0.3841803,0.40769112,0.42787978,0.439541,0.44773808,0.4669094,0.5058753,0.5559992,0.5927255,0.59295464,0.5531706,0.48991403,0.4284204,0.38470244,0.36194026,0.3542024,0.35812438,0.37788177,0.41992387,0.48256245,0.5464625,0.5846285,0.57679665,0.52711564,0.4569359,0.39247632,0.34626973,0.31849805,0.303092,0.29862908,0.30793306,0.33161855,0.36150563,0.38242435,0.3830241,0.36415115,0.33783105,0.31706414,0.30687973,0.3037254,0.30093682,0.29479992,0.28559268,0.27555087,0.26588526,0.2563708,0.24656183,0.23767243,0.23243219,0.23401232,0.24381596,0.2611045,0.28233,0.30409694,0.32598805,0.35598084,0.4048176,0.4762458,0.55277705,0.6036704,0.6026322,0.55030674,0.47040203,0.39384675,0.3385302,0.30679408,0.29154173,0.28541064,0.28406736,0.28528357,0.28764832,0.28926802,0.2890534,0.28697598,0.28448156,0.28309476,0.28320977,0.28429934,0.28617337,0.29124317,0.30433723,0.32928923,0.36255574,0.391462,0.40070054,0.38485232,0.35351118,0.32538554,0.31503823,0.32523617,0.3473284,0.36856556,0.37942466,0.37917134,0.37374154,0.37097737,0.37341213,0.37928006,0.38486305,0.3898704,0.39647725,0.4076282,0.4217787,0.43279752,0.4344056,0.42954957,0.43399942,0.46409228,0.52101666,0.57870317,0.60287577,0.57169163,0.49777675,0.41321588,0.35037842,0.31885496,0.3113111,0.31649974,0.33476815,0.3741579,0.43724766,0.5085991,0.5595494,0.56706184,0.5299292,0.46879587,0.40998253,0.37027332,0.35166225,0.3480624,0.35368136,0.36747122,0.3887814,0.41256312,0.42763996,0.42491543,0.40340093,0.37162188,0.3399973,0.31503287,0.2982994,0.28877965,0.28594935,0.28942686,0.29978266,0.31614396,0.33601764,0.3544568,0.3675997,0.37460244,0.37776068,0.3794267,0.38000068,0.3789568,0.37697005,0.37870637,0.39205563,0.42525455,0.47763324,0.5351839,0.5729038,0.5710077,0.52643985,0.4555683,0.3819096,0.3243859,0.29008147,0.27594638,0.27406347,0.277232,0.28133595,0.2845106,0.28586164,0.2848191,0.28177252,0.27750513,0.27310517,0.2691702,0.2663159,0.26517692,0.26805177,0.27913824,0.30349606,0.33995745,0.37790754,0.39909473,0.3922496,0.36123338,0.32486296,0.30181745,0.29984763,0.31283358,0.32835308,0.336983,0.33690473,0.33319488,0.33155665,0.3344791,0.33971027,0.3440882,0.34675953,0.35089222,0.36166736,0.38013312,0.40126076,0.4153987,0.4205935,0.42590556,0.44737875,0.48964357,0.538735,0.5689041,0.5625615,0.5217519,0.46433267,0.41052222,0.3721031,0.35060123,0.3431417,0.34962574,0.37687853,0.42932662,0.4994402,0.5604544,0.5844392,0.5583819,0.49743572,0.42905402,0.37768027,0.35020387,0.34132227,0.3416009,0.34730482,0.35934043,0.3770908,0.3917456,0.3899955,0.36485592,0.32366017,0.28425777,0.26190495,0.2594993,0.26657477,0.26973632,0.2619749,0.24895537,0.24221675,0.25067484,0.27072003,0.29018688,0.2965127,0.2882979,0.27413484,0.26574686,0.26765057,0.27561393,0.2841158,0.29497942,0.32198703,0.37650123,0.4557446,0.5321552,0.5742075,0.5632229,0.51053756,0.44164622,0.3818519,0.34041592,0.315647,0.30121574,0.2938172,0.2930744,0.29898584,0.30991057,0.32225272,0.33348832,0.3424269,0.349496,0.3536446,0.3536106,0.34820774,0.3399552,0.33431026,0.33930513,0.35873833,0.38818225,0.41376266,0.4223002,0.410355,0.38726184,0.36630663,0.3557363,0.35559118,0.3609456,0.36627913,0.3676206,0.36394212,0.35667548,0.3483247,0.34004954,0.3319521,0.3249312,0.32263735,0.33018205,0.34953168,0.37636173,0.4007497,0.41629493,0.42694533,0.44753096,0.4892037,0.5469181,0.59641474,0.6117735,0.5825047,0.52103144,0.45078862,0.39174128,0.35211873,0.33165833,0.3298314,0.350926,0.3997347,0.47091475,0.5417626,0.58289653,0.57653296,0.5297493,0.465078,0.40484235,0.35956666,0.33088875,0.3173857,0.31856093,0.33454618,0.36216748,0.3930169,0.41368583,0.41486204,0.396428,0.36921898,0.34507453,0.3311535,0.3261558,0.32574758,0.32636514,0.32818803,0.333182,0.34143588,0.35053575,0.35653543,0.35862887,0.3585588,0.3606629,0.36724362,0.37817454,0.3891584,0.39621165,0.39970955,0.40863955,0.43443993,0.4801773,0.53078246,0.56053793,0.5492568,0.49911532,0.43037865,0.36838374,0.32602862,0.30305123,0.2914834,0.2861075,0.28689528,0.2956846,0.31174207,0.3282914,0.33763635,0.33473125,0.32345894,0.3121108,0.3081583,0.31065336,0.31307533,0.31156835,0.31173816,0.32472736,0.3548163,0.39231518,0.41857883,0.4201926,0.39736816,0.36227003,0.32921475,0.30744478,0.2982446,0.29806134,0.3021219,0.30784798,0.3137143,0.31786823,0.31681108,0.30817446,0.29327813,0.27921405,0.27659467,0.29371104,0.32720062,0.36089376,0.37614486,0.3718091,0.36928764,0.39590836,0.4574237,0.52734375,0.56631774,0.5506275,0.4890542,0.41153085,0.34734845,0.30879197,0.29148188,0.2880298,0.29936743,0.33687153,0.40670928,0.49579683,0.5691865,0.59291023,0.55705494,0.48480478,0.41311827,0.36860004,0.35385516,0.3557459,0.36119926,0.3677483,0.37933174,0.39668968,0.41145205,0.41300318,0.3972623,0.3712308,0.34614435,0.33024833,0.32451245,0.32542163,0.3283639,0.33098528,0.33362195,0.33858535,0.34743068,0.35964772,0.37213373,0.38178203,0.38658813,0.3873016,0.38517752,0.3820033,0.37839296,0.37785646,0.38705316,0.41670468,0.46998656,0.5362008,0.58785677,0.5997563,0.5636987,0.49633142,0.4234879,0.3653545,0.32776,0.30756056,0.299404,0.29956874,0.30537403,0.31393722,0.32207623,0.32802102,0.33252323,0.3382316,0.34667397,0.35635534,0.36384377,0.366774,0.36725783,0.37070945,0.383263,0.40413788,0.42571735,0.43594584,0.43009996,0.41185713,0.39114657,0.3736447,0.36031607,0.34914005,0.34037855,0.33590412,0.33783317,0.34641507,0.35926402,0.37176475,0.3782278,0.37580597,0.36727214,0.3618721,0.36986876,0.39302376,0.4206567,0.4351498,0.43070975,0.42200446,0.43709064,0.49031624,0.5651531,0.62246025,0.6291631,0.58312654,0.5090875,0.43898132,0.3898082,0.3623009,0.35044408,0.35396874,0.38116953,0.43802,0.51704186,0.5899306,0.62398726,0.6012085,0.53555065,0.46118927,0.41094974,0.39487553,0.40155694,0.4119158,0.41530144,0.4125124,0.40917704,0.4064455,0.39982677,0.38544345,0.3656987,0.34752294,0.3358649,0.33000067,0.32701564,0.32513416,0.32622662,0.33231416,0.3448687,0.36219597,0.38058853,0.3942505,0.397899,0.3893187,0.37082466,0.34883368,0.3295296,0.31676534,0.31175902,0.3189303,0.3484265,0.40944943,0.49668884,0.5806931,0.62330294,0.6005922,0.52389413,0.42744318,0.34772864,0.30115783,0.2850088,0.28628764,0.29330412,0.2999332,0.3046035,0.30821535,0.3116764,0.31535172,0.31889173,0.32178673,0.3239073,0.32522,0.32591596,0.3270636,0.33142373,0.34331813,0.36411524,0.38913998,0.40662995,0.4066297,0.38765267,0.35934916,0.33379993,0.31828347,0.31238714,0.3121064,0.3139086,0.31617674,0.31853738,0.32072437,0.32247886,0.3235196,0.3235974,0.32306322,0.32404658,0.33062503,0.3453987,0.36480188,0.37947595,0.38375652,0.38603356,0.4076655,0.46337524,0.54279274,0.6088963,0.62464213,0.57913375,0.4961798,0.41436863,0.36167714,0.34255716,0.34465817,0.35619685,0.3778936,0.4200356,0.48660612,0.56073064,0.60985094,0.60711247,0.5531277,0.47408566,0.40248832,0.35549915,0.3310403,0.31831488,0.31124535,0.3140699,0.33189777,0.36246002,0.39048612,0.40186402,0.3908645,0.36618772,0.33866683,0.31623363,0.29853535,0.28066126,0.2565581,0.22435737,0.19042827,0.16507372,0.15556471,0.15861563,0.1650492,0.16653429,0.16148776,0.15167071,0.13869263,0.122578286,0.10465157,0.08949745,0.08459667,0.09664232,0.12665828,0.16798668,0.2093907,0.24236178,0.2645136,0.2787702,0.28827897,0.2949314,0.29846188,0.29829586,0.29407668,0.2883288,0.28492227,0.2864566,0.28883982,0.28412566,0.26576594,0.23583092,0.20239289,0.17392196,0.15322627,0.13839877,0.12651215,0.116959594,0.11164054,0.11321355,0.12283727,0.13889928,0.15688479,0.1714986,0.17904018,0.17946903,0.17562787,0.17123921,0.16898547,0.17056052,0.17780177,0.1924058,0.21394432,0.23792787,0.25727615,0.26654747,0.26556066,0.25880665,0.25181502,0.24736162,0.24462043,0.24046294,0.23253055,0.22236232,0.2153759,0.21736841,0.22757952,0.23782884,0.23649316,0.218131,0.18669796,0.15316719,0.12712198,0.11195278,0.105473906,0.10544925,0.113155484,0.13160755,0.15969841,0.18889834,0.2063805,0.20369272,0.18248554,0.15337162,0.12739082,0.10982076,0.09946052,0.0942009,0.094743036,0.10400692,0.122600764,0.14628749,0.16756696,0.18097477,0.1859562,0.18662173,0.18692851,0.18862087,0.19043459,0.19143249,0.19170852,0.19278301,0.19554655,0.19974165,0.20423627,0.20812996,0.21188928,0.2166828,0.22358151,0.2317019,0.2383412,0.23935737,0.23223378,0.2186148,0.20618807,0.20400488,0.21601982,0.23563689,0.25009653,0.24852653,0.229371,0.19964106,0.16940917,0.14577098,0.13034052,0.121136636,0.11564828,0.11288949,0.11323746,0.11694923,0.123464085,0.13032854,0.13443194,0.13322061,0.12763996,0.12140152,0.118814886,0.122008294,0.13166814,0.14934222,0.17595392,0.20901181,0.23911448,0.25566313,0.25164694,0.23024154,0.20077644,0.17505282,0.15905309,0.15200104,0.14804359,0.14311092,0.13764364,0.13470222,0.13530546,0.13749348,0.13932239,0.14207906,0.14902653,0.16230841,0.18058883,0.20030604,0.21736322,0.22866009,0.23328637,0.2331645,0.23254955,0.23444052,0.23832719,0.24028802,0.23744889,0.23078126,0.2248389,0.22320454,0.22511816,0.22538394,0.2193888,0.20755327,0.19598073,0.19052756,0.1913635,0.19267957,0.18884504,0.18046711,0.17364444,0.17403688,0.17964466,0.18238342,0.17508508,0.16127236,0.15379028,0.16574709,0.1974054,0.2349617,0.25955692,0.26117912,0.24355109,0.21844633,0.19629793,0.18081562,0.17116119,0.16509579,0.16200586,0.16244368,0.16731326,0.17514308,0.18084688,0.17803524,0.16484852,0.14811482,0.1400847,0.1495697,0.17509115,0.2060308,0.23076467,0.24363083,0.24653886,0.24448363,0.24084942,0.23524141,0.22582418,0.2122757,0.19759388,0.18515246,0.17595802,0.16694717,0.15523453,0.14133155,0.13054848,0.12805961,0.1344957,0.14411038,0.149364,0.14678937,0.1401539,0.13663448,0.14017226,0.1475082,0.15155725,0.14811961,0.1402499,0.13550872,0.13910128,0.14811563,0.15345071,0.14798799,0.13476993,0.12628795,0.1344987,0.16085507,0.19399858,0.21921885,0.22799735,0.22432573,0.21806711,0.21743299,0.22034617,0.21945913,0.20892452,0.19396901,0.18645845,0.19636995,0.22074449,0.24579827,0.25679854,0.25016853,0.23446362,0.22198622,0.21730568,0.2147545,0.20475914,0.18452822,0.16087139,0.14460215,0.14048634,0.14433576,0.14811395,0.14869274,0.15116507,0.1634912,0.18770878,0.21422695,0.22749622,0.21633096,0.18382555,0.14516096,0.11853561,0.11323631,0.12593506,0.144832,0.15918994,0.16496141,0.16436939,0.16088097,0.15685932,0.15438795,0.15646623,0.16503358,0.17786758,0.18924697,0.1938796,0.19064437,0.18193127,0.17046715,0.15729724,0.14204003,0.12506163,0.10809705,0.09415982,0.08532071,0.08166128,0.08095186,0.08066588,0.07933165,0.07712891,0.0746408,0.07266881,0.07209632,0.07445807,0.08029198,0.08837993,0.0954277,0.09863634,0.096865155,0.091313474,0.083720714,0.07587633,0.06903743,0.06514907,0.0671444,0.078475304,0.10072491,0.1315412,0.16550285,0.19676907,0.22208314,0.24028432,0.2514783,0.25552443,0.25179985,0.23981512,0.2209305,0.20125176,0.18900494,0.19004302,0.2018094,0.21673524,0.22752905,0.23267673,0.23336703,0.22947772,0.21721469,0.19314925,0.15939347,0.1258176,0.106039084,0.10915047,0.13388467,0.16882639,0.20053713,0.22116238,0.23171413,0.23691672,0.23893307,0.23427117,0.21764724,0.18864667,0.15482935,0.12903416,0.12105986,0.13196398,0.15253346,0.16980915,0.17486729,0.16819496,0.15707047,0.14878571,0.14538294,0.14458394,0.14320882,0.14069803,0.138169,0.13805495,0.1412143,0.14728141,0.15402092,0.15996005,0.16457546,0.16822214,0.16992037,0.16735299,0.1586076,0.14502986,0.13219064,0.12692283,0.13323365,0.14868575,0.16630565,0.1783671,0.18164362,0.17789729,0.17166309,0.1658833,0.16026528,0.15288371,0.14322223,0.13399605,0.12933293,0.13192083,0.14065824,0.15161134,0.160395,0.16423278,0.1625719,0.15618618,0.14680664,0.13644645,0.12790407,0.124617964,0.12980777,0.14406805,0.16329736,0.180205,0.18858425,0.18755476,0.18132043,0.17544754,0.1732931,0.17494462,0.1789257,0.18339457,0.18696614,0.18848562,0.18767166,0.18544523,0.18349637,0.18298775,0.1835772,0.18386024,0.18213099,0.17693447,0.16751139,0.15466449,0.14150314,0.13241841,0.13072802,0.13652532,0.14671749,0.15695378,0.16386765,0.16609277,0.16425109,0.16037452,0.15702899,0.15618904,0.15781456,0.16045542,0.161781,0.16102427,0.15843701,0.15600629,0.15511861,0.1566609,0.15971458,0.16301535,0.16502891,0.1650879,0.16285472,0.15920763,0.15551086,0.15389754,0.15480012,0.15702508,0.1569445,0.15185037,0.14088707,0.12684412,0.113477826,0.10398653,0.09884489,0.09737276,0.09925148,0.10575715,0.1179114,0.1341179,0.14937977,0.15748303,0.15473576,0.14202946,0.12438985,0.10776845,0.09629514,0.0911443,0.092126906,0.09973384,0.1152114,0.13884075,0.16719234,0.19414507,0.21327166,0.22211246,0.22245742,0.2192003,0.21685438,0.21753073,0.22033398,0.22267883,0.2227277,0.22007723,0.2159074,0.21094584,0.20579614,0.20003544,0.19366376,0.18632291,0.17827256,0.16960777,0.16120523,0.15477234,0.15356325,0.16051997,0.1760804,0.19610715,0.21394123,0.22399789,0.22472249,0.2180547,0.20677227,0.19302823,0.17770809,0.1616031,0.14529781,0.12994744,0.11663815,0.10660253,0.10039819,0.0981976,0.09916044,0.10178855,0.10373521,0.10331837,0.10010388,0.095552854,0.0917004,0.09058622,0.09363798,0.10174722,0.11423952,0.12817122,0.13885783,0.14280765,0.14009471,0.13488376,0.13200784,0.13377154,0.13790132,0.14005049,0.13732202,0.1310284,0.12538618,0.12393749,0.12705262,0.13274112,0.1393102,0.14646201,0.15388036,0.16004023,0.16297291,0.16241771,0.16021936,0.15891893,0.1599349,0.16315342,0.16733818,0.17073898,0.17168407,0.16953038,0.16511737,0.16037671,0.15688772,0.15506417,0.15389383,0.1520911,0.149136,0.1461702,0.14512354,0.14694627,0.15032093,0.15256156,0.15211564,0.15004294,0.14875638,0.14890927,0.14793147,0.14230408,0.13205974,0.12240101,0.1200911,0.12721588,0.1389852,0.14776076,0.14955182,0.14665751,0.14454578,0.14693259,0.1533316,0.16066785,0.16591172,0.16775765,0.16644739,0.16316412,0.15893821,0.1538523,0.1468885,0.13786878,0.12883638,0.12369046,0.12455782,0.13023452,0.13737808,0.14480788,0.154297,0.16797407,0.18421124,0.19792144,0.20472628,0.20457675,0.20122556,0.19818054,0.196365,0.1940941,0.18971749,0.18285255,0.17529488,0.16970646,0.16809945,0.16993226,0.17180312,0.16980551,0.1623051,0.15192841,0.1429496,0.13798495,0.13555813,0.13256146,0.12767085,0.12322685,0.122529685,0.1261461,0.13004851,0.12908556,0.12146922,0.111456,0.10573841,0.10866314,0.11890105,0.13135345,0.14077556,0.14483973,0.14486074,0.143734,0.14372931,0.14428405,0.14357392,0.14023554,0.13561757,0.13221304,0.13182133,0.13366634,0.13551974,0.13562883,0.13446636,0.13403085,0.13599147,0.13946824,0.14154291,0.1393918,0.13346793,0.1274647,0.12564941,0.129004,0.1344292,0.13760369,0.13680433,0.13469695,0.13555937,0.14149456,0.14933902,0.15274304,0.14640696,0.13074504,0.112174086,0.09942571,0.09798326,0.107122816,0.12140229,0.13581365,0.1488951,0.16258495,0.17755379,0.19183421,0.20170419,0.20649487,0.20860706,0.21177553,0.21670783,0.22149056,0.22283567,0.21891604,0.20947774,0.19605035,0.18116336,0.16749854,0.15654935,0.14761841,0.13859953,0.12751727,0.114268444,0.1003912,0.08770436,0.076771624,0.06666017,0.05600272,0.044119656,0.03167035,0.020164656,0.011140908,0.0052635972,0.0021734904,0.00088892994,0.0004634591,0.00032226768,0.000248473,0.0002644327,0.0007130159,0.0024545551,0.0067632557,0.014565987,0.025512988,0.037802484,0.04915272,0.058033973,0.06401648,0.06729291,0.068018876,0.0662699,0.062354635,0.057423204,0.05376029,0.05397701,0.05941992,0.06875786,0.07889491,0.08688799,0.09166646,0.09337243,0.0920066,0.08659945,0.07618868,0.06158473,0.04624025,0.035232686,0.032419834,0.03813049,0.04894374,0.060114022,0.06836373,0.07301722,0.07494804,0.07468175,0.0716287,0.06463742,0.0536982,0.040764477,0.029540688,0.023338446,0.02323013,0.027049387,0.03082104,0.0310836,0.02688176,0.019868013,0.012711018,0.007391967,0.0044571585,0.0036509328,0.0047086272,0.0076039988,0.012044084,0.016986685,0.020809896,0.02212061,0.020500625,0.016673692,0.011975947,0.0077123516,0.0046365852,0.002891862,0.0021564101,0.0019808987,0.0019918864,0.0019972883,0.0019411213,0.0018489985,0.0017572516,0.0016822539,0.0016133274,0.0015401043,0.0014632038,0.0013817302,0.0012739807,0.0011064045,0.00086847803,0.0005928225,0.0003400623,0.00015794575,5.7038375E-05,1.5615064E-05,4.216158E-06,2.5682439E-06,2.6315083E-06,4.985806E-05,0.00037315403,0.0015936546,0.004726896,0.010731251,0.019547446,0.029444115,0.03725792,0.040038735,0.036637526,0.028570311,0.018832453,0.010397489,0.0047826567,0.0023469063,0.0029691216,0.0067939027,0.013841639,0.023270622,0.03281421,0.039414246,0.040554497,0.035796516,0.026974982,0.017222263,0.009195203,0.0041893586,0.0023958737,0.0038389477,0.008759625,0.017001353,0.02715317,0.036263473,0.041112173,0.03971604,0.032785557,0.022967895,0.013592671,0.0067200367,0.0030636564,0.0024681736,0.00491309,0.010346982,0.017962677,0.0257485,0.031043708,0.032007374,0.028446771,0.021917047,0.014544289,0.008252341,0.0043025394,0.0039102077,0.008783641,0.020495534,0.03909382,0.061677385,0.08419019,0.10431004,0.12392499,0.14658608,0.17362933,0.20092757,0.22188054,0.23069261,0.2278158,0.21805567,0.20956254,0.20596893,0.20683116,0.20758092,0.20708776,0.20697232,0.21000366,0.21431041,0.21415253,0.20419462,0.18530376,0.16658889,0.15903617,0.16884156,0.19117719,0.2165029,0.23560195,0.24736166,0.25455615,0.26158637,0.26777735,0.26882374,0.25837198,0.23447718,0.20204192,0.17190081,0.15398242,0.15151398,0.15925534,0.168266,0.17100184,0.16477257,0.1509506,0.13330887,0.11759136,0.11331322,0.13664652,0.20419733,0.31884202,0.45480362,0.56510305,0.60995126,0.5856609,0.5250569,0.47051823,0.4457661,0.44942895,0.46749356,0.48736504,0.50187767,0.5072377,0.50146466,0.4854006,0.4635301,0.44209114,0.42657673,0.42000678,0.42258182,0.4317626,0.44310555,0.4525212,0.4585712,0.46275938,0.4669501,0.4711961,0.4734772,0.47307336,0.471396,0.47126362,0.4733379,0.47614014,0.4774603,0.47642255,0.47370124,0.4709243,0.46964657,0.4709927,0.47484767,0.48043397,0.48541734,0.48799384,0.48701057,0.48477516,0.481926,0.47799835,0.46879372,0.4577171,0.45577183,0.47910747,0.52960944,0.58772993,0.6215493,0.6119502,0.5677006,0.51599413,0.4802955,0.46702328,0.46941924,0.47953907,0.49541807,0.5226405,0.5664139,0.6221157,0.6677739,0.6766739,0.63545984,0.55959815,0.48057327,0.42602006,0.40182844,0.39781263,0.3995532,0.40042242,0.40101826,0.40529487,0.41435313,0.4263786,0.43781006,0.44721103,0.45438728,0.4597623,0.4623047,0.46134743,0.45681402,0.4504613,0.44415656,0.43993655,0.43800333,0.43811622,0.43904793,0.44070435,0.44243982,0.44377863,0.44393417,0.4429408,0.44161642,0.44149518,0.4472232,0.46752632,0.50954986,0.5689408,0.6225586,0.6434677,0.6177344,0.5593891,0.49414405,0.44482303,0.41662982,0.4052787,0.40228716,0.40256855,0.40319082,0.40358648,0.40344116,0.40239072,0.40005744,0.3966342,0.39285764,0.38909903,0.38494983,0.37974146,0.37432957,0.37164864,0.37546363,0.38604042,0.3983333,0.40330508,0.39459357,0.3725932,0.3450036,0.3213252,0.3079976,0.30508935,0.30797872,0.31065848,0.31017563,0.3075628,0.305722,0.30552626,0.30507168,0.30239144,0.30003968,0.30460417,0.3233844,0.35589716,0.393689,0.42312908,0.4395751,0.45156404,0.47904077,0.5325913,0.6017665,0.6530421,0.6561837,0.6036077,0.5202637,0.44064155,0.38946703,0.36748418,0.3633846,0.36725405,0.38324627,0.42240855,0.48799524,0.5599254,0.6035557,0.59137046,0.5264345,0.43810597,0.36214337,0.31700146,0.30009687,0.29824477,0.3024609,0.3128684,0.33163324,0.35545853,0.37366554,0.377712,0.36642265,0.34755167,0.329792,0.31882328,0.31436214,0.3127062,0.30994096,0.30583873,0.3054185,0.31450412,0.33490512,0.36064315,0.3833072,0.3970115,0.40267953,0.40442237,0.4062747,0.40928805,0.41382357,0.42235196,0.44301042,0.48387995,0.54439443,0.60523987,0.6392903,0.62927634,0.5847593,0.5316606,0.49310365,0.4747038,0.4695264,0.46912917,0.46894422,0.46686295,0.45974433,0.4450746,0.42231867,0.39573523,0.37191,0.3588545,0.36074877,0.3769211,0.4002991,0.4227338,0.43839717,0.44703785,0.45088995,0.4522238,0.45101437,0.4466432,0.43995717,0.43363932,0.43089458,0.43216422,0.43586746,0.43910718,0.440977,0.44242606,0.44561413,0.4519143,0.46033108,0.46804067,0.47126094,0.4683363,0.4617213,0.45786366,0.46253777,0.47485995,0.4869549,0.49183965,0.4927607,0.50486296,0.54106504,0.5982697,0.65016776,0.6666689,0.6323443,0.5614251,0.48240146,0.42204764,0.38962296,0.38199472,0.39170447,0.41683578,0.46102723,0.52501076,0.5962939,0.6468393,0.6510913,0.60480446,0.53353584,0.47220472,0.4433814,0.44519106,0.46175146,0.47696495,0.48316488,0.48036638,0.47191706,0.46052238,0.4479028,0.43573806,0.4274981,0.4257562,0.43096188,0.4395926,0.44802475,0.45346376,0.45636666,0.45798644,0.45956472,0.46095875,0.46087587,0.45875993,0.45418897,0.4482802,0.44146892,0.43465677,0.42761064,0.41982618,0.4128226,0.41301867,0.43450797,0.48633024,0.5617878,0.6274758,0.6478537,0.6060299,0.52374315,0.43687558,0.3751911,0.34287834,0.33094177,0.32608864,0.31956875,0.30513206,0.2806017,0.2487758,0.21723317,0.19314043,0.17988676,0.1760708,0.17866664,0.18325214,0.1844421,0.17672597,0.15914963,0.137683,0.122590475,0.12068493,0.13100971,0.14626825,0.1599195,0.16921498,0.17474712,0.17597556,0.17101051,0.15801086,0.13835074,0.11678142,0.10024163,0.09519833,0.10442746,0.12509729,0.14918487,0.16819848,0.17752047,0.17830355,0.17432083,0.16786212,0.15787081,0.1421425,0.12154177,0.10178402,0.09086889,0.09314745,0.10565129,0.11911538,0.12416294,0.116473146,0.0988543,0.077827625,0.05969197,0.04762818,0.042361166,0.04382367,0.05209737,0.0665796,0.08433264,0.100183904,0.10858155,0.10667741,0.09550005,0.07918932,0.06254049,0.04909842,0.040223394,0.035386246,0.033069994,0.031803515,0.030775838,0.02984147,0.029152827,0.028777786,0.028598135,0.028374776,0.027954167,0.027302017,0.026500361,0.025623314,0.024735251,0.02388314,0.02311934,0.022458203,0.021868393,0.021293694,0.020699596,0.020069001,0.01938074,0.018622756,0.017849749,0.017219102,0.016922943]