[0.009,0.013,0.02,0.027,0.033,0.036,0.038,0.041,0.045,0.052,0.063,0.081,0.11,0.155,0.215,0.285,0.354,0.413,0.453,0.473,0.473,0.456,0.422,0.371,0.306,0.236,0.172,0.122,0.089,0.069,0.058,0.052,0.051,0.059,0.085,0.143,0.238,0.359,0.474,0.551,0.58,0.572,0.549,0.524,0.501,0.479,0.462,0.456,0.463,0.476,0.487,0.489,0.48,0.462,0.436,0.401,0.363,0.335,0.325,0.334,0.348,0.356,0.352,0.339,0.321,0.303,0.284,0.266,0.246,0.223,0.196,0.165,0.132,0.101,0.076,0.058,0.046,0.036,0.028,0.022,0.017,0.013,0.011,0.01,0.009,0.008,0.007,0.005,0.004,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.003,0.007,0.013,0.024,0.04,0.063,0.097,0.149,0.22,0.307,0.4,0.481,0.537,0.556,0.537,0.486,0.416,0.342,0.28,0.241,0.23,0.242,0.266,0.29,0.306,0.314,0.318,0.323,0.332,0.342,0.35,0.352,0.348,0.348,0.365,0.405,0.46,0.514,0.552,0.57,0.576,0.578,0.582,0.589,0.592,0.578,0.539,0.476,0.402,0.335,0.293,0.281,0.292,0.312,0.33,0.348,0.372,0.406,0.446,0.482,0.509,0.527,0.538,0.541,0.533,0.514,0.482,0.431,0.359,0.269,0.178,0.106,0.066,0.062,0.094,0.165,0.269,0.392,0.504,0.576,0.595,0.566,0.503,0.426,0.356,0.31,0.296,0.312,0.353,0.408,0.461,0.497,0.501,0.475,0.433,0.399,0.391,0.412,0.441,0.452,0.431,0.384,0.332,0.296,0.284,0.288,0.296,0.295,0.279,0.25,0.213,0.177,0.143,0.114,0.087,0.064,0.045,0.032,0.023,0.021,0.026,0.042,0.067,0.093,0.107,0.103,0.084,0.058,0.035,0.019,0.01,0.006,0.004,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.002,0.005,0.017,0.051,0.118,0.219,0.332,0.435,0.513,0.565,0.597,0.608,0.596,0.562,0.516,0.467,0.415,0.359,0.301,0.248,0.209,0.185,0.172,0.161,0.151,0.142,0.136,0.132,0.13,0.133,0.148,0.181,0.233,0.295,0.359,0.418,0.472,0.52,0.555,0.567,0.552,0.508,0.444,0.37,0.3,0.24,0.194,0.159,0.131,0.105,0.079,0.055,0.037,0.026,0.019,0.015,0.013,0.011,0.01,0.009,0.009,0.008,0.007,0.006,0.005,0.005,0.005,0.006,0.009,0.016,0.027,0.046,0.073,0.112,0.171,0.251,0.346,0.439,0.51,0.547,0.553,0.54,0.521,0.507,0.504,0.509,0.52,0.532,0.546,0.56,0.579,0.604,0.634,0.66,0.666,0.64,0.575,0.479,0.369,0.266,0.186,0.134,0.103,0.086,0.076,0.07,0.064,0.06,0.057,0.055,0.056,0.059,0.062,0.065,0.069,0.078,0.101,0.152,0.24,0.361,0.488,0.589,0.646,0.662,0.651,0.63,0.61,0.597,0.59,0.584,0.568,0.532,0.481,0.427,0.389,0.372,0.373,0.38,0.382,0.377,0.367,0.355,0.345,0.332,0.311,0.28,0.24,0.199,0.165,0.141,0.129,0.131,0.146,0.176,0.22,0.276,0.343,0.424,0.52,0.62,0.7,0.736,0.722,0.673,0.619,0.58,0.562,0.561,0.566,0.566,0.555,0.533,0.502,0.468,0.433,0.399,0.367,0.336,0.309,0.283,0.259,0.236,0.213,0.192,0.176,0.166,0.159,0.153,0.145,0.133,0.117,0.097,0.077,0.06,0.047,0.041,0.042,0.049,0.057,0.064,0.066,0.061,0.052,0.04,0.029,0.02,0.014,0.01,0.007,0.006,0.005,0.005,0.005,0.005,0.004,0.004,0.003,0.003,0.003,0.002,0.002,0.002,0.003,0.004,0.008,0.015,0.029,0.056,0.105,0.183,0.288,0.405,0.518,0.615,0.688,0.731,0.736,0.702,0.636,0.556,0.48,0.42,0.378,0.349,0.327,0.308,0.291,0.28,0.278,0.288,0.309,0.337,0.365,0.388,0.398,0.392,0.366,0.319,0.258,0.192,0.132,0.085,0.053,0.033,0.021,0.015,0.011,0.009,0.009,0.009,0.009,0.01,0.012,0.014,0.017,0.02,0.023,0.027,0.029,0.031,0.03,0.027,0.022,0.016,0.011,0.007,0.004,0.002,0.002,0.004,0.013,0.041,0.094,0.173,0.26,0.332,0.374,0.388,0.39,0.392,0.397,0.396,0.375,0.333,0.278,0.226,0.187,0.164,0.149,0.138,0.128,0.119,0.115,0.116,0.128,0.151,0.19,0.241,0.299,0.356,0.405,0.438,0.452,0.442,0.408,0.355,0.294,0.235,0.188,0.155,0.13,0.108,0.086,0.064,0.047,0.041,0.05,0.083,0.14,0.213,0.283,0.326,0.332,0.3,0.247,0.187,0.134,0.094,0.066,0.048,0.037,0.033,0.033,0.035,0.036,0.035,0.03,0.025,0.019,0.016,0.014,0.018,0.032,0.062,0.112,0.176,0.249,0.33,0.421,0.517,0.607,0.675,0.716,0.734,0.739,0.733,0.719,0.698,0.672,0.645,0.616,0.587,0.553,0.512,0.461,0.406,0.361,0.336,0.336,0.351,0.365,0.364,0.34,0.299,0.249,0.2,0.158,0.122,0.094,0.076,0.075,0.098,0.156,0.255,0.388,0.531,0.65,0.716,0.722,0.684,0.624,0.563,0.511,0.471,0.44,0.413,0.385,0.353,0.32,0.29,0.264,0.244,0.224,0.202,0.179,0.155,0.135,0.122,0.114,0.109,0.105,0.099,0.091,0.081,0.07,0.058,0.045,0.034,0.025,0.018,0.013,0.009,0.007,0.006,0.005,0.005,0.005,0.004,0.004,0.004,0.004,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.004,0.01,0.025,0.057,0.11,0.187,0.278,0.37,0.45,0.513,0.561,0.598,0.624,0.635,0.63,0.607,0.575,0.54,0.506,0.473,0.442,0.412,0.384,0.362,0.344,0.331,0.321,0.308,0.292,0.269,0.242,0.212,0.182,0.153,0.128,0.111,0.099,0.092,0.084,0.075,0.064,0.053,0.044,0.037,0.033,0.036,0.047,0.071,0.109,0.163,0.234,0.316,0.399,0.467,0.508,0.518,0.506,0.481,0.452,0.422,0.397,0.38,0.371,0.37,0.374,0.383,0.394,0.406,0.415,0.417,0.408,0.391,0.372,0.354,0.334,0.301,0.25,0.187,0.129,0.088,0.067,0.059,0.057,0.053,0.048,0.042,0.036,0.031,0.027,0.024,0.02,0.017,0.014,0.011,0.009,0.008,0.007,0.007,0.006,0.006,0.006,0.005,0.005,0.004,0.004,0.003,0.003,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.003,0.003,0.005,0.009,0.019,0.042,0.083,0.144,0.222,0.31,0.399,0.481,0.548,0.597,0.629,0.648,0.66,0.668,0.674,0.681,0.689,0.7,0.712,0.724,0.732,0.732,0.723,0.703,0.674,0.641,0.609,0.582,0.56,0.539,0.512,0.476,0.433,0.386,0.34,0.293,0.245,0.195,0.148,0.107,0.076,0.054,0.039,0.029,0.023,0.022,0.032,0.057,0.098,0.148,0.197,0.247,0.306,0.384,0.472,0.545,0.583,0.583,0.555,0.511,0.461,0.407,0.358,0.319,0.295,0.287,0.29,0.296,0.299,0.296,0.288,0.278,0.268,0.258,0.251,0.244,0.236,0.226,0.212,0.198,0.183,0.17,0.158,0.145,0.129,0.108,0.084,0.063,0.055,0.07,0.114,0.182,0.257,0.317,0.349,0.36,0.368,0.388,0.422,0.459,0.486,0.5,0.497,0.481,0.455,0.423,0.391,0.365,0.345,0.326,0.302,0.276,0.259,0.266,0.303,0.367,0.444,0.514,0.555,0.554,0.509,0.43,0.341,0.264,0.216,0.195,0.189,0.186,0.176,0.156,0.128,0.097,0.069,0.049,0.043,0.058,0.106,0.191,0.304,0.412,0.486,0.518,0.524,0.525,0.534,0.551,0.572,0.59,0.602,0.602,0.587,0.555,0.511,0.459,0.404,0.352,0.307,0.275,0.255,0.246,0.244,0.246,0.252,0.258,0.265,0.27,0.272,0.27,0.265,0.259,0.254,0.253,0.255,0.258,0.257,0.255,0.255,0.264,0.283,0.306,0.324,0.328,0.313,0.281,0.238,0.191,0.149,0.12,0.108,0.115,0.137,0.173,0.223,0.282,0.342,0.391,0.419,0.431,0.434,0.435,0.434,0.43,0.423,0.416,0.409,0.403,0.397,0.391,0.384,0.372,0.352,0.32,0.275,0.222,0.17,0.123,0.087,0.062,0.045,0.034,0.028,0.023,0.019,0.017,0.019,0.03,0.058,0.104,0.162,0.214,0.248,0.263,0.275,0.298,0.336,0.378,0.411,0.422,0.412,0.387,0.362,0.346,0.343,0.352,0.366,0.383,0.397,0.405,0.402,0.382,0.342,0.288,0.235,0.196,0.181,0.189,0.209,0.234,0.256,0.27,0.281,0.295,0.319,0.351,0.384,0.411,0.425,0.428,0.426,0.423,0.42,0.416,0.41,0.402,0.392,0.382,0.374,0.367,0.356,0.339,0.318,0.293,0.27,0.249,0.232,0.217,0.203,0.19,0.179,0.168,0.157,0.149,0.142,0.138,0.135,0.133,0.132,0.131,0.132,0.131,0.128,0.124,0.121,0.121,0.126,0.135,0.146,0.156,0.162,0.16,0.15,0.131,0.108,0.085,0.065,0.05,0.04,0.035,0.04,0.058,0.091,0.135,0.184,0.231,0.269,0.293,0.299,0.286,0.252,0.204,0.151,0.101,0.062,0.036,0.02,0.012,0.007,0.006,0.005,0.004,0.004,0.004,0.004,0.003,0.003,0.002,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.009,0.024,0.051,0.097,0.161,0.24,0.324,0.404,0.47,0.517,0.546,0.562,0.572,0.576,0.576,0.571,0.564,0.558,0.553,0.553,0.556,0.56,0.562,0.556,0.541,0.515,0.481,0.443,0.406,0.375,0.353,0.341,0.337,0.341,0.351,0.361,0.365,0.355,0.335,0.316,0.31,0.325,0.354,0.381,0.394,0.388,0.365,0.335,0.307,0.283,0.266,0.255,0.25,0.248,0.248,0.248,0.248,0.249,0.253,0.258,0.267,0.279,0.295,0.312,0.327,0.335,0.332,0.314,0.28,0.233,0.181,0.13,0.089,0.06,0.043,0.033,0.028,0.024,0.022,0.019,0.017,0.014,0.011,0.009,0.008,0.008,0.007,0.006,0.005,0.004,0.003,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.003,0.007,0.023,0.061,0.131,0.231,0.345,0.446,0.517,0.552,0.561,0.56,0.558,0.562,0.57,0.574,0.564,0.529,0.467,0.381,0.286,0.198,0.128,0.081,0.056,0.045,0.043,0.05,0.073,0.129,0.232,0.371,0.506,0.593,0.609,0.563,0.481,0.385,0.287,0.196,0.122,0.071,0.041,0.028,0.027,0.039,0.062,0.095,0.142,0.213,0.321,0.458,0.588,0.667,0.669,0.611,0.529,0.459,0.411,0.379,0.35,0.322,0.3,0.291,0.298,0.316,0.333,0.334,0.314,0.275,0.227,0.186,0.169,0.188,0.24,0.305,0.361,0.392,0.404,0.409,0.415,0.421,0.429,0.442,0.466,0.497,0.522,0.53,0.518,0.49,0.456,0.422,0.39,0.363,0.344,0.337,0.342,0.357,0.375,0.39,0.4,0.403,0.4,0.396,0.394,0.399,0.415,0.438,0.46,0.47,0.457,0.425,0.384,0.345,0.311,0.276,0.236,0.191,0.145,0.102,0.066,0.04,0.025,0.021,0.028,0.046,0.073,0.099,0.111,0.103,0.08,0.053,0.031,0.018,0.011,0.008,0.007,0.006,0.005,0.005,0.004,0.004,0.004,0.004,0.003,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.005,0.014,0.037,0.081,0.152,0.246,0.35,0.442,0.503,0.524,0.512,0.483,0.453,0.433,0.424,0.42,0.413,0.397,0.369,0.33,0.284,0.236,0.194,0.159,0.132,0.113,0.103,0.102,0.108,0.124,0.151,0.193,0.252,0.325,0.401,0.467,0.515,0.541,0.547,0.539,0.52,0.495,0.471,0.454,0.447,0.445,0.442,0.431,0.41,0.379,0.345,0.313,0.287,0.271,0.261,0.257,0.257,0.26,0.263,0.265,0.263,0.259,0.254,0.249,0.247,0.247,0.246,0.245,0.242,0.236,0.226,0.214,0.205,0.207,0.219,0.237,0.252,0.252,0.233,0.196,0.151,0.113,0.091,0.088,0.098,0.116,0.136,0.157,0.179,0.199,0.219,0.238,0.256,0.272,0.284,0.286,0.277,0.258,0.23,0.195,0.155,0.113,0.076,0.048,0.03,0.023,0.025,0.039,0.068,0.117,0.181,0.248,0.299,0.316,0.296,0.25,0.194,0.142,0.1,0.07,0.049,0.035,0.026,0.019,0.016,0.018,0.031,0.057,0.097,0.141,0.178,0.2,0.211,0.219,0.226,0.233,0.236,0.234,0.226,0.21,0.186,0.157,0.125,0.096,0.073,0.056,0.045,0.04,0.037,0.036,0.035,0.037,0.043,0.054,0.074,0.101,0.129,0.147,0.148,0.129,0.098,0.067,0.044,0.033,0.034,0.048,0.079,0.124,0.176,0.223,0.254,0.269,0.271,0.269,0.269,0.276,0.289,0.306,0.322,0.332,0.336,0.338,0.341,0.345,0.35,0.357,0.363,0.37,0.378,0.384,0.382,0.367,0.337,0.303,0.273,0.255,0.246,0.239,0.226,0.202,0.167,0.126,0.087,0.056,0.038,0.035,0.052,0.093,0.156,0.23,0.295,0.337,0.353,0.352,0.34,0.32,0.287,0.239,0.182,0.125,0.079,0.048,0.032,0.029,0.033,0.046,0.074,0.127,0.204,0.296,0.381,0.441,0.467,0.465,0.443,0.407,0.364,0.321,0.283,0.257,0.245,0.248,0.262,0.281,0.296,0.302,0.299,0.285,0.267,0.247,0.23,0.219,0.214,0.216,0.231,0.261,0.303,0.347,0.385,0.417,0.45,0.485,0.514,0.524,0.511,0.478,0.438,0.402,0.378,0.366,0.362,0.36,0.36,0.362,0.368,0.375,0.382,0.383,0.374,0.355,0.33,0.303,0.278,0.258,0.241,0.224,0.204,0.181,0.156,0.13,0.105,0.082,0.064,0.05,0.039,0.03,0.024,0.02,0.019,0.019,0.021,0.024,0.027,0.031,0.034,0.037,0.04,0.042,0.044,0.045,0.045,0.043,0.038,0.032,0.025,0.019,0.013,0.009,0.006,0.004,0.004,0.004,0.006,0.012,0.021,0.034,0.048,0.057,0.062,0.073,0.107,0.182,0.295,0.424,0.531,0.586,0.589,0.558,0.521,0.49,0.466,0.444,0.422,0.4,0.378,0.356,0.332,0.308,0.283,0.258,0.234,0.214,0.199,0.194,0.196,0.206,0.217,0.227,0.235,0.246,0.267,0.307,0.365,0.435,0.503,0.555,0.586,0.593,0.579,0.551,0.522,0.508,0.52,0.555,0.598,0.633,0.647,0.636,0.602,0.55,0.487,0.423,0.367,0.326,0.3,0.286,0.28,0.281,0.286,0.296,0.313,0.334,0.355,0.373,0.382,0.379,0.359,0.318,0.259,0.192,0.133,0.095,0.081,0.088,0.104,0.118,0.122,0.112,0.091,0.066,0.044,0.03,0.023,0.026,0.047,0.098,0.189,0.312,0.442,0.546,0.602,0.612,0.595,0.573,0.559,0.552,0.544,0.522,0.483,0.432,0.386,0.359,0.356,0.37,0.389,0.404,0.41,0.408,0.397,0.373,0.338,0.295,0.258,0.244,0.266,0.32,0.394,0.468,0.526,0.565,0.589,0.606,0.622,0.64,0.662,0.686,0.714,0.739,0.758,0.763,0.751,0.724,0.689,0.656,0.63,0.607,0.58,0.546,0.504,0.451,0.384,0.305,0.223,0.15,0.096,0.061,0.042,0.031,0.029,0.034,0.049,0.075,0.109,0.151,0.2,0.262,0.338,0.424,0.51,0.58,0.627,0.644,0.632,0.591,0.527,0.451,0.381,0.333,0.311,0.311,0.319,0.323,0.316,0.299,0.274,0.249,0.228,0.213,0.201,0.191,0.181,0.171,0.161,0.149,0.133,0.112,0.087,0.064,0.047,0.04,0.046,0.072,0.123,0.196,0.276,0.344,0.386,0.407,0.418,0.431,0.451,0.472,0.49,0.495,0.482,0.449,0.399,0.338,0.277,0.222,0.178,0.147,0.132,0.133,0.151,0.18,0.215,0.249,0.279,0.306,0.331,0.352,0.366,0.368,0.351,0.313,0.256,0.189,0.124,0.073,0.044,0.041,0.062,0.107,0.169,0.234,0.283,0.308,0.308,0.293,0.274,0.254,0.236,0.219,0.205,0.195,0.191,0.19,0.192,0.196,0.201,0.207,0.217,0.23,0.246,0.267,0.289,0.31,0.324,0.326,0.314,0.288,0.253,0.215,0.179,0.147,0.117,0.091,0.069,0.055,0.046,0.043,0.041,0.038,0.034,0.03,0.024,0.02,0.016,0.013,0.011,0.009,0.007,0.007,0.006,0.005,0.005,0.004,0.004,0.003,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.013,0.042,0.109,0.223,0.374,0.524,0.629,0.663,0.626,0.546,0.463,0.404,0.383,0.391,0.412,0.43,0.436,0.433,0.432,0.442,0.465,0.492,0.512,0.523,0.531,0.542,0.552,0.558,0.559,0.56,0.565,0.568,0.558,0.528,0.48,0.422,0.358,0.291,0.222,0.159,0.116,0.106,0.13,0.188,0.274,0.387,0.517,0.641,0.725,0.746,0.704,0.627,0.552,0.506,0.497,0.52,0.557,0.59,0.606,0.603,0.588,0.565,0.535,0.493,0.435,0.364,0.287,0.214,0.154,0.111,0.081,0.06,0.047,0.047,0.067,0.111,0.175,0.248,0.315,0.364,0.395,0.412,0.42,0.415,0.39,0.342,0.278,0.207,0.143,0.092,0.055,0.032,0.02,0.015,0.016,0.019,0.028,0.045,0.082,0.148,0.244,0.355,0.455,0.522,0.548,0.54,0.511,0.472,0.43,0.389,0.351,0.316,0.285,0.257,0.233,0.211,0.193,0.177,0.163,0.15,0.138,0.126,0.114,0.102,0.091,0.083,0.077,0.07,0.063,0.053,0.042,0.031,0.022,0.015,0.011,0.008,0.006,0.004,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.009,0.031,0.075,0.144,0.229,0.314,0.391,0.456,0.511,0.555,0.587,0.604,0.608,0.605,0.595,0.58,0.559,0.531,0.494,0.449,0.4,0.353,0.313,0.279,0.248,0.215,0.181,0.148,0.127,0.126,0.155,0.216,0.303,0.402,0.494,0.562,0.598,0.604,0.588,0.561,0.531,0.503,0.475,0.441,0.394,0.331,0.258,0.186,0.126,0.086,0.065,0.057,0.056,0.054,0.051,0.046,0.041,0.036,0.032,0.031,0.033,0.042,0.063,0.102,0.163,0.241,0.32,0.386,0.432,0.457,0.468,0.465,0.447,0.417,0.381,0.343,0.301,0.252,0.198,0.145,0.1,0.067,0.046,0.033,0.025,0.019,0.015,0.012,0.01,0.008,0.007,0.008,0.009,0.013,0.017,0.02,0.023,0.024,0.024,0.024,0.024,0.023,0.022,0.022,0.021,0.021,0.02,0.018,0.016,0.013,0.01,0.007,0.004,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]