[0.003,0.004,0.006,0.009,0.015,0.03,0.058,0.098,0.141,0.17,0.174,0.151,0.115,0.078,0.049,0.031,0.019,0.013,0.009,0.006,0.005,0.005,0.013,0.037,0.084,0.152,0.226,0.288,0.326,0.345,0.346,0.334,0.308,0.276,0.253,0.25,0.263,0.282,0.295,0.302,0.305,0.308,0.311,0.312,0.307,0.294,0.271,0.237,0.194,0.151,0.119,0.107,0.117,0.138,0.155,0.157,0.14,0.111,0.081,0.055,0.038,0.029,0.024,0.022,0.021,0.021,0.022,0.026,0.038,0.063,0.101,0.146,0.183,0.2,0.194,0.172,0.144,0.12,0.106,0.102,0.104,0.106,0.107,0.108,0.112,0.118,0.123,0.121,0.11,0.094,0.077,0.067,0.068,0.08,0.099,0.115,0.122,0.116,0.101,0.081,0.065,0.06,0.069,0.089,0.116,0.143,0.167,0.184,0.19,0.185,0.167,0.14,0.112,0.088,0.075,0.074,0.084,0.098,0.106,0.104,0.093,0.079,0.066,0.056,0.048,0.043,0.038,0.034,0.032,0.031,0.03,0.028,0.024,0.019,0.013,0.009,0.006,0.004,0.003,0.002,0.002,0.002,0.003,0.006,0.01,0.015,0.021,0.028,0.043,0.073,0.131,0.218,0.318,0.397,0.428,0.405,0.352,0.302,0.271,0.26,0.256,0.247,0.229,0.202,0.172,0.144,0.127,0.126,0.141,0.166,0.19,0.202,0.2,0.189,0.18,0.18,0.188,0.201,0.21,0.212,0.204,0.19,0.17,0.149,0.132,0.125,0.143,0.193,0.268,0.34,0.375,0.362,0.317,0.271,0.242,0.233,0.232,0.231,0.222,0.201,0.17,0.132,0.093,0.061,0.038,0.026,0.025,0.032,0.046,0.062,0.082,0.104,0.13,0.16,0.189,0.213,0.223,0.216,0.195,0.173,0.165,0.178,0.214,0.274,0.349,0.422,0.465,0.462,0.419,0.36,0.307,0.272,0.254,0.247,0.242,0.231,0.208,0.175,0.143,0.125,0.122,0.125,0.123,0.115,0.109,0.126,0.18,0.263,0.342,0.38,0.363,0.308,0.249,0.205,0.175,0.149,0.125,0.108,0.111,0.15,0.227,0.323,0.396,0.417,0.383,0.323,0.269,0.237,0.221,0.206,0.182,0.148,0.109,0.076,0.056,0.051,0.054,0.058,0.057,0.053,0.046,0.039,0.035,0.037,0.045,0.057,0.073,0.09,0.111,0.139,0.174,0.213,0.247,0.268,0.277,0.289,0.32,0.371,0.421,0.444,0.429,0.39,0.349,0.322,0.307,0.3,0.293,0.284,0.279,0.291,0.326,0.376,0.413,0.416,0.385,0.343,0.314,0.312,0.339,0.386,0.436,0.463,0.45,0.402,0.343,0.294,0.262,0.243,0.23,0.222,0.225,0.248,0.294,0.359,0.418,0.447,0.434,0.394,0.35,0.321,0.305,0.293,0.277,0.26,0.254,0.273,0.324,0.388,0.433,0.433,0.393,0.34,0.302,0.294,0.317,0.365,0.423,0.464,0.462,0.412,0.337,0.267,0.223,0.207,0.21,0.218,0.225,0.239,0.273,0.331,0.392,0.426,0.416,0.373,0.327,0.297,0.287,0.287,0.283,0.273,0.263,0.272,0.313,0.382,0.448,0.475,0.45,0.389,0.324,0.283,0.281,0.32,0.386,0.446,0.47,0.452,0.406,0.357,0.316,0.281,0.244,0.204,0.169,0.151,0.172,0.238,0.331,0.41,0.437,0.407,0.35,0.298,0.268,0.252,0.235,0.204,0.161,0.113,0.073,0.049,0.041,0.045,0.052,0.059,0.066,0.079,0.098,0.124,0.15,0.17,0.179,0.182,0.184,0.19,0.197,0.197,0.188,0.173,0.159,0.154,0.161,0.183,0.215,0.244,0.259,0.254,0.234,0.213,0.197,0.187,0.182,0.18,0.178,0.174,0.166,0.155,0.145,0.139,0.136,0.137,0.14,0.15,0.168,0.193,0.219,0.242,0.257,0.262,0.261,0.26,0.264,0.275,0.288,0.298,0.299,0.291,0.28,0.274,0.275,0.283,0.29,0.291,0.286,0.277,0.268,0.26,0.257,0.261,0.272,0.289,0.304,0.312,0.31,0.3,0.284,0.267,0.253,0.244,0.24,0.24,0.244,0.252,0.261,0.266,0.265,0.259,0.251,0.246,0.243,0.242,0.243,0.245,0.249,0.254,0.256,0.251,0.237,0.214,0.186,0.158,0.138,0.127,0.124,0.127,0.131,0.136,0.143,0.156,0.177,0.204,0.233,0.257,0.273,0.28,0.282,0.28,0.275,0.268,0.259,0.25,0.24,0.229,0.215,0.198,0.182,0.17,0.166,0.173,0.187,0.197,0.197,0.187,0.173,0.16,0.152,0.147,0.139,0.128,0.111,0.091,0.07,0.051,0.036,0.024,0.017,0.012,0.01,0.011,0.016,0.027,0.043,0.064,0.093,0.131,0.177,0.219,0.244,0.248,0.241,0.235,0.231,0.225,0.218,0.218,0.237,0.281,0.344,0.414,0.469,0.494,0.486,0.46,0.434,0.419,0.412,0.402,0.38,0.346,0.309,0.28,0.263,0.254,0.249,0.248,0.252,0.262,0.278,0.302,0.342,0.397,0.451,0.476,0.459,0.417,0.381,0.373,0.391,0.418,0.442,0.458,0.469,0.481,0.5,0.52,0.528,0.512,0.473,0.426,0.389,0.369,0.362,0.358,0.351,0.337,0.32,0.303,0.288,0.279,0.273,0.268,0.259,0.24,0.213,0.19,0.198,0.251,0.337,0.408,0.423,0.381,0.323,0.289,0.293,0.322,0.355,0.381,0.399,0.419,0.449,0.488,0.522,0.532,0.508,0.462,0.415,0.381,0.362,0.35,0.333,0.306,0.27,0.239,0.225,0.234,0.259,0.285,0.303,0.312,0.315,0.322,0.341,0.379,0.431,0.48,0.503,0.492,0.457,0.415,0.381,0.361,0.354,0.356,0.367,0.386,0.417,0.46,0.503,0.525,0.516,0.484,0.45,0.427,0.418,0.414,0.404,0.383,0.355,0.325,0.296,0.268,0.237,0.208,0.184,0.171,0.168,0.175,0.203,0.261,0.343,0.418,0.449,0.427,0.378,0.341,0.336,0.36,0.393,0.418,0.425,0.416,0.401,0.399,0.418,0.447,0.465,0.458,0.437,0.418,0.411,0.412,0.407,0.388,0.351,0.301,0.251,0.212,0.186,0.17,0.157,0.147,0.145,0.154,0.172,0.192,0.207,0.22,0.234,0.252,0.274,0.301,0.327,0.35,0.364,0.371,0.376,0.389,0.416,0.457,0.503,0.53,0.523,0.48,0.425,0.381,0.359,0.353,0.351,0.339,0.317,0.289,0.267,0.256,0.254,0.254,0.25,0.24,0.228,0.22,0.228,0.266,0.337,0.422,0.481,0.484,0.435,0.367,0.316,0.293,0.292,0.301,0.313,0.332,0.365,0.418,0.486,0.544,0.564,0.536,0.477,0.418,0.381,0.362,0.345,0.314,0.264,0.204,0.147,0.103,0.074,0.056,0.043,0.032,0.023,0.016,0.013,0.012,0.014,0.018,0.023,0.031,0.046,0.07,0.105,0.143,0.178,0.202,0.217,0.224,0.227,0.225,0.22,0.211,0.2,0.189,0.18,0.173,0.169,0.166,0.164,0.162,0.161,0.16,0.159,0.158,0.157,0.155,0.152,0.147,0.142,0.136,0.133,0.134,0.145,0.164,0.187,0.209,0.224,0.232,0.236,0.236,0.234,0.231,0.231,0.235,0.249,0.281,0.337,0.411,0.482,0.527,0.541,0.54,0.54,0.545,0.55,0.551,0.546,0.541,0.537,0.537,0.538,0.539,0.539,0.539,0.539,0.542,0.55,0.565,0.589,0.616,0.637,0.639,0.622,0.595,0.573,0.564,0.563,0.565,0.566,0.566,0.569,0.583,0.607,0.629,0.631,0.602,0.552,0.503,0.472,0.461,0.46,0.46,0.459,0.456,0.454,0.452,0.451,0.45,0.448,0.446,0.444,0.443,0.444,0.452,0.472,0.507,0.546,0.563,0.543,0.49,0.432,0.391,0.377,0.382,0.397,0.413,0.43,0.452,0.485,0.527,0.564,0.577,0.561,0.53,0.502,0.487,0.484,0.485,0.484,0.481,0.475,0.468,0.465,0.467,0.473,0.483,0.49,0.494,0.494,0.499,0.517,0.551,0.588,0.611,0.604,0.57,0.523,0.48,0.448,0.428,0.418,0.414,0.416,0.429,0.459,0.505,0.555,0.586,0.588,0.57,0.551,0.542,0.543,0.544,0.539,0.531,0.525,0.525,0.528,0.53,0.531,0.53,0.532,0.535,0.541,0.551,0.567,0.592,0.622,0.643,0.642,0.619,0.586,0.559,0.544,0.538,0.535,0.526,0.509,0.487,0.472,0.477,0.506,0.539,0.558,0.556,0.546,0.541,0.542,0.543,0.539,0.531,0.527,0.528,0.533,0.535,0.533,0.527,0.523,0.525,0.534,0.548,0.567,0.59,0.613,0.626,0.618,0.592,0.561,0.543,0.542,0.554,0.568,0.578,0.584,0.593,0.609,0.631,0.646,0.636,0.594,0.534,0.48,0.451,0.443,0.445,0.446,0.443,0.438,0.434,0.432,0.431,0.432,0.432,0.428,0.422,0.414,0.408,0.412,0.436,0.482,0.533,0.559,0.544,0.494,0.439,0.404,0.397,0.404,0.414,0.421,0.431,0.454,0.495,0.548,0.595,0.613,0.596,0.562,0.531,0.515,0.51,0.509,0.504,0.497,0.49,0.484,0.478,0.471,0.464,0.459,0.457,0.458,0.462,0.474,0.499,0.539,0.584,0.612,0.609,0.574,0.524,0.476,0.439,0.418,0.411,0.414,0.42,0.419,0.403,0.367,0.317,0.263,0.214,0.178,0.155,0.14,0.13,0.121,0.111,0.099,0.088,0.078,0.072,0.07,0.072,0.074,0.077,0.079,0.079,0.078,0.078,0.08,0.083,0.089,0.096,0.102,0.108,0.114,0.119,0.126,0.136,0.151,0.172,0.203,0.257,0.336,0.43,0.504,0.531,0.504,0.448,0.39,0.349,0.332,0.336,0.36,0.397,0.436,0.469,0.492,0.507,0.515,0.517,0.514,0.511,0.51,0.517,0.535,0.563,0.588,0.596,0.579,0.547,0.512,0.489,0.482,0.487,0.496,0.505,0.514,0.529,0.551,0.572,0.573,0.539,0.476,0.407,0.351,0.317,0.304,0.305,0.322,0.349,0.382,0.411,0.431,0.444,0.45,0.455,0.458,0.461,0.466,0.478,0.505,0.544,0.578,0.587,0.561,0.511,0.458,0.418,0.398,0.394,0.403,0.418,0.438,0.463,0.498,0.539,0.57,0.569,0.526,0.452,0.37,0.305,0.272,0.273,0.305,0.353,0.402,0.444,0.472,0.488,0.494,0.493,0.49,0.487,0.487,0.495,0.515,0.549,0.584,0.604,0.594,0.554,0.5,0.45,0.415,0.397,0.392,0.398,0.411,0.435,0.474,0.522,0.563,0.575,0.55,0.507,0.471,0.458,0.462,0.472,0.48,0.486,0.494,0.505,0.517,0.527,0.532,0.533,0.532,0.531,0.533,0.542,0.564,0.599,0.635,0.655,0.645,0.607,0.562,0.53,0.518,0.523,0.533,0.535,0.517,0.472,0.4,0.316,0.24,0.187,0.159,0.151,0.155,0.166,0.179,0.192,0.204,0.217,0.23,0.242,0.248,0.248,0.242,0.234,0.226,0.222,0.222,0.228,0.239,0.251,0.261,0.267,0.27,0.27,0.267,0.263,0.258,0.253,0.248,0.242,0.235,0.226,0.219,0.213,0.212,0.215,0.22,0.227,0.235,0.242,0.248,0.252,0.255,0.259,0.263,0.269,0.275,0.282,0.288,0.292,0.296,0.3,0.304,0.308,0.311,0.314,0.315,0.314,0.311,0.306,0.297,0.282,0.262,0.241,0.223,0.212,0.206,0.205,0.207,0.211,0.217,0.221,0.222,0.22,0.216,0.21,0.203,0.193,0.182,0.171,0.161,0.153,0.147,0.14,0.132,0.124,0.118,0.115,0.115,0.117,0.118,0.118,0.118,0.118,0.118,0.118,0.117,0.114,0.11,0.107,0.106,0.107,0.108,0.107,0.105,0.102,0.099,0.095,0.091,0.086,0.081,0.077,0.075,0.075,0.075,0.075,0.076,0.077,0.077,0.076,0.075,0.073,0.072,0.072,0.073,0.075,0.079,0.084,0.091,0.098,0.105,0.112,0.118,0.123,0.127,0.132,0.138,0.145,0.153,0.167,0.196,0.253,0.34,0.443,0.525,0.559,0.547,0.511,0.482,0.467,0.458,0.44,0.402,0.346,0.284,0.235,0.208,0.204,0.212,0.221,0.223,0.221,0.223,0.242,0.291,0.363,0.434,0.468,0.454,0.411,0.377,0.374,0.399,0.434,0.467,0.494,0.522,0.557,0.599,0.633,0.634,0.583,0.492,0.397,0.33,0.3,0.296,0.3,0.298,0.285,0.257,0.219,0.176,0.134,0.098,0.071,0.054,0.048,0.053,0.08,0.141,0.236,0.342,0.418,0.439,0.416,0.389,0.385,0.407,0.439,0.466,0.486,0.505,0.531,0.567,0.605,0.625,0.608,0.555,0.487,0.432,0.4,0.387,0.379,0.37,0.355,0.334,0.307,0.275,0.248,0.231,0.225,0.223,0.218,0.211,0.213,0.245,0.316,0.408,0.482,0.504,0.476,0.431,0.405,0.408,0.428,0.451,0.471,0.489,0.512,0.541,0.572,0.594,0.593,0.567,0.531,0.505,0.498,0.507,0.519,0.525,0.528,0.529,0.532,0.536,0.538,0.538,0.538,0.537,0.536,0.538,0.545,0.564,0.594,0.626,0.642,0.628,0.591,0.55,0.527,0.526,0.54,0.554,0.557,0.543,0.513,0.484,0.475,0.492,0.517,0.529,0.516,0.493,0.476,0.471,0.467,0.451,0.415,0.363,0.308,0.265,0.243,0.245,0.264,0.287,0.303,0.309,0.308,0.315,0.343,0.396,0.449,0.472,0.455,0.419,0.402,0.423,0.471,0.52,0.554,0.573,0.585,0.599,0.617,0.629,0.617,0.569,0.497,0.428,0.385,0.374,0.381,0.386,0.374,0.34,0.291,0.242,0.207,0.191,0.191,0.198,0.208,0.224,0.249,0.29,0.348,0.415,0.47,0.485,0.451,0.394,0.354,0.355,0.392,0.438,0.476,0.501,0.52,0.542,0.569,0.596,0.603,0.577,0.519,0.453,0.406,0.388,0.389,0.39,0.376,0.342,0.293,0.24,0.195,0.17,0.169,0.194,0.23,0.262,0.276,0.282,0.301,0.351,0.423,0.481,0.498,0.472,0.436,0.417,0.422,0.439,0.455,0.467,0.479,0.498,0.53,0.569,0.598,0.599,0.571,0.532,0.505,0.497,0.498,0.489,0.457,0.405,0.347,0.298,0.263,0.239,0.221,0.206,0.193,0.185,0.184,0.198,0.237,0.306,0.388,0.449,0.463,0.435,0.401,0.393,0.421,0.464,0.5,0.515,0.502,0.462,0.402,0.337,0.285,0.251,0.23,0.211,0.189,0.169,0.155,0.153,0.162,0.179,0.198,0.209,0.209,0.199,0.186,0.174,0.166,0.161,0.161,0.167,0.184,0.207,0.231,0.248,0.255,0.255,0.255,0.262,0.274,0.289,0.299,0.301,0.296,0.287,0.283,0.288,0.304,0.324,0.339,0.34,0.327,0.306,0.286,0.272,0.269,0.275,0.289,0.303,0.312,0.314,0.31,0.304,0.299,0.298,0.299,0.302,0.305,0.308,0.313,0.32,0.326,0.333,0.337,0.338,0.334,0.323,0.302,0.275,0.25,0.232,0.223,0.221,0.225,0.232,0.237,0.229,0.205,0.17,0.137,0.118,0.113,0.118,0.124,0.128,0.131,0.138,0.158,0.191,0.232,0.267,0.286,0.29,0.284,0.273,0.262,0.251,0.238,0.221,0.202,0.181,0.163,0.151,0.143,0.141,0.145,0.157,0.177,0.204,0.232,0.255,0.27,0.278,0.282,0.284,0.284,0.284,0.284,0.284,0.283,0.281,0.28,0.279,0.277,0.275,0.272,0.269,0.27,0.273,0.279,0.284,0.289,0.291,0.292,0.293,0.295,0.297,0.298,0.298,0.297,0.294,0.29,0.283,0.271,0.253,0.234,0.223,0.223,0.232,0.241,0.246,0.246,0.239,0.23,0.221,0.217,0.222,0.233,0.244,0.249,0.245,0.232,0.212,0.195,0.188,0.195,0.211,0.224,0.226,0.214,0.195,0.178,0.172,0.18,0.193,0.203,0.203,0.196,0.188,0.18,0.17,0.157,0.146,0.146,0.157,0.172,0.18,0.18,0.175,0.173,0.176,0.184,0.188,0.182,0.167,0.153,0.147,0.152,0.157,0.153,0.141,0.129,0.127,0.138,0.159,0.187,0.221,0.273,0.347,0.433,0.5,0.521,0.497,0.454,0.423,0.415,0.424,0.436,0.444,0.444,0.441,0.438,0.438,0.442,0.448,0.452,0.454,0.454,0.455,0.465,0.49,0.526,0.554,0.55,0.508,0.447,0.401,0.39,0.409,0.439,0.466,0.485,0.5,0.52,0.546,0.571,0.581,0.564,0.523,0.477,0.446,0.436,0.44,0.448,0.452,0.452,0.45,0.452,0.457,0.463,0.47,0.474,0.476,0.478,0.482,0.49,0.506,0.533,0.563,0.578,0.566,0.528,0.485,0.455,0.447,0.453,0.465,0.478,0.494,0.515,0.544,0.576,0.601,0.603,0.58,0.548,0.525,0.52,0.529,0.538,0.54,0.537,0.534,0.534,0.537,0.542,0.545,0.546,0.545,0.543,0.543,0.547,0.562,0.588,0.615,0.625,0.606,0.563,0.521,0.497,0.495,0.503,0.508,0.504,0.488,0.463,0.444,0.443,0.467,0.497,0.513,0.507,0.491,0.484,0.492,0.507,0.517,0.519,0.514,0.508,0.505,0.504,0.507,0.511,0.513,0.511,0.509,0.509,0.52,0.545,0.575,0.593,0.582,0.544,0.496,0.463,0.454,0.462,0.474,0.481,0.485,0.491,0.506,0.531,0.556,0.561,0.535,0.483,0.429,0.395,0.386,0.393,0.403,0.41,0.413,0.415,0.419,0.424,0.43,0.435,0.439,0.441,0.443,0.448,0.461,0.489,0.532,0.571,0.584,0.558,0.505,0.455,0.428,0.427,0.439,0.454,0.467,0.48,0.501,0.535,0.574,0.598,0.59,0.548,0.492,0.447,0.425,0.422,0.428,0.435,0.439,0.438,0.436,0.434,0.434,0.436,0.439,0.442,0.443,0.446,0.456,0.482,0.525,0.569,0.587,0.561,0.502,0.441,0.405,0.398,0.407,0.419,0.427,0.431,0.428,0.416,0.394,0.363,0.331,0.305,0.287,0.277,0.271,0.268,0.267,0.267,0.267,0.264,0.26,0.254,0.249,0.244,0.241,0.239,0.238,0.237,0.236,0.238,0.243,0.253,0.265,0.273,0.274,0.268,0.259,0.249,0.238,0.227,0.216,0.212,0.224,0.261,0.325,0.4,0.456,0.471,0.449,0.415,0.395,0.396,0.411,0.426,0.437,0.444,0.452,0.464,0.477,0.489,0.496,0.498,0.499,0.502,0.511,0.529,0.555,0.58,0.59,0.571,0.528,0.48,0.449,0.443,0.454,0.469,0.481,0.489,0.499,0.518,0.545,0.568,0.568,0.535,0.478,0.421,0.384,0.372,0.376,0.385,0.394,0.4,0.402,0.402,0.4,0.398,0.399,0.403,0.41,0.42,0.431,0.448,0.477,0.515,0.548,0.551,0.514,0.452,0.396,0.364,0.356,0.361,0.369,0.378,0.391,0.415,0.456,0.507,0.545,0.547,0.509,0.451,0.404,0.385,0.39,0.406,0.423,0.436,0.444,0.45,0.456,0.465,0.475,0.484,0.489,0.491,0.493,0.504,0.531,0.57,0.605,0.609,0.573,0.507,0.439,0.391,0.369,0.367,0.374,0.385,0.4,0.426,0.471,0.526,0.568,0.573,0.541,0.497,0.471,0.472,0.489,0.505,0.511,0.508,0.504,0.504,0.506,0.507,0.506,0.501,0.495,0.488,0.482,0.48,0.491,0.519,0.555,0.577,0.567,0.528,0.479,0.444,0.429,0.427,0.429,0.429,0.421,0.401,0.372,0.344,0.33,0.334,0.343,0.34,0.317,0.283,0.249,0.226,0.215,0.216,0.227,0.245,0.261,0.269,0.266,0.254,0.24,0.23,0.229,0.237,0.251,0.263,0.274,0.285,0.302,0.321,0.331,0.321,0.291,0.252,0.224,0.217,0.227,0.244,0.257,0.259,0.252,0.242,0.238,0.245,0.258,0.27,0.273,0.269,0.26,0.253,0.248,0.247,0.247,0.246,0.244,0.242,0.24,0.24,0.242,0.243,0.242,0.237,0.23,0.22,0.208,0.196,0.187,0.184,0.19,0.202,0.216,0.222,0.216,0.199,0.177,0.157,0.144,0.139,0.142,0.15,0.158,0.161,0.157,0.153,0.153,0.158,0.163,0.163,0.158,0.148,0.139,0.133,0.131,0.13,0.131,0.132,0.132,0.129,0.122,0.112,0.102,0.095,0.095,0.098,0.102,0.104,0.105,0.107,0.109,0.11,0.111,0.11,0.109,0.109,0.108,0.105,0.102,0.099,0.095,0.092,0.089,0.086,0.084,0.081,0.079,0.077,0.075,0.075,0.074,0.073,0.071,0.07,0.068,0.066,0.064,0.062,0.06,0.058,0.056,0.054,0.052,0.049,0.046,0.042,0.037,0.031,0.025,0.018,0.013,0.01]