[0.031,0.032,0.034,0.039,0.048,0.059,0.074,0.092,0.114,0.143,0.18,0.225,0.273,0.32,0.363,0.401,0.431,0.453,0.462,0.458,0.446,0.44,0.448,0.47,0.498,0.522,0.538,0.552,0.569,0.587,0.6,0.596,0.578,0.554,0.544,0.554,0.576,0.591,0.586,0.564,0.538,0.521,0.518,0.528,0.545,0.562,0.568,0.561,0.539,0.507,0.472,0.445,0.433,0.437,0.451,0.465,0.469,0.457,0.431,0.399,0.369,0.347,0.331,0.325,0.326,0.334,0.343,0.35,0.349,0.34,0.328,0.317,0.31,0.308,0.306,0.302,0.3,0.307,0.327,0.358,0.389,0.407,0.402,0.381,0.354,0.332,0.318,0.316,0.329,0.357,0.395,0.43,0.45,0.456,0.457,0.46,0.454,0.427,0.371,0.299,0.232,0.19,0.18,0.199,0.233,0.265,0.283,0.289,0.291,0.299,0.318,0.34,0.36,0.37,0.371,0.371,0.377,0.389,0.404,0.416,0.422,0.426,0.432,0.443,0.453,0.455,0.446,0.432,0.423,0.427,0.443,0.458,0.457,0.431,0.382,0.325,0.28,0.265,0.287,0.34,0.409,0.473,0.515,0.529,0.52,0.499,0.475,0.457,0.445,0.438,0.432,0.426,0.419,0.415,0.417,0.426,0.444,0.463,0.476,0.478,0.468,0.448,0.426,0.404,0.386,0.375,0.371,0.375,0.382,0.387,0.383,0.365,0.337,0.303,0.271,0.243,0.222,0.203,0.184,0.165,0.149,0.144,0.154,0.178,0.211,0.242,0.263,0.27,0.264,0.249,0.231,0.218,0.218,0.233,0.262,0.295,0.324,0.343,0.351,0.348,0.342,0.338,0.341,0.349,0.362,0.376,0.389,0.393,0.388,0.372,0.352,0.334,0.323,0.321,0.33,0.346,0.365,0.383,0.395,0.397,0.393,0.384,0.374,0.365,0.356,0.346,0.333,0.318,0.304,0.293,0.286,0.282,0.281,0.287,0.302,0.325,0.348,0.358,0.35,0.328,0.298,0.272,0.254,0.244,0.24,0.24,0.242,0.248,0.257,0.265,0.269,0.265,0.256,0.246,0.239,0.237,0.238,0.239,0.239,0.237,0.233,0.227,0.217,0.205,0.192,0.177,0.16,0.14,0.117,0.093,0.071,0.055,0.043,0.037,0.034,0.035,0.039,0.049,0.064,0.085,0.114,0.153,0.202,0.261,0.324,0.388,0.44,0.475,0.486,0.477,0.457,0.441,0.44,0.459,0.492,0.527,0.557,0.577,0.584,0.571,0.536,0.488,0.444,0.414,0.4,0.394,0.387,0.376,0.365,0.36,0.363,0.374,0.387,0.4,0.41,0.419,0.428,0.432,0.428,0.414,0.394,0.371,0.352,0.336,0.322,0.308,0.292,0.275,0.263,0.265,0.282,0.309,0.337,0.357,0.362,0.354,0.337,0.323,0.324,0.342,0.37,0.391,0.389,0.358,0.306,0.251,0.21,0.193,0.201,0.225,0.256,0.285,0.31,0.328,0.341,0.35,0.353,0.355,0.356,0.358,0.359,0.358,0.356,0.359,0.367,0.376,0.375,0.364,0.345,0.325,0.306,0.286,0.261,0.229,0.192,0.154,0.12,0.09,0.067,0.05,0.04,0.034,0.031,0.032,0.04,0.06,0.096,0.147,0.206,0.263,0.309,0.34,0.364,0.396,0.442,0.498,0.546,0.575,0.583,0.581,0.58,0.586,0.6,0.619,0.632,0.632,0.618,0.599,0.585,0.58,0.582,0.585,0.584,0.572,0.546,0.508,0.467,0.431,0.406,0.39,0.381,0.38,0.383,0.387,0.384,0.373,0.358,0.344,0.337,0.339,0.349,0.361,0.368,0.37,0.369,0.369,0.368,0.361,0.348,0.336,0.332,0.335,0.339,0.334,0.317,0.292,0.262,0.229,0.194,0.16,0.132,0.114,0.11,0.122,0.149,0.183,0.213,0.232,0.239,0.237,0.236,0.244,0.266,0.302,0.346,0.379,0.384,0.357,0.308,0.257,0.22,0.205,0.21,0.228,0.252,0.27,0.275,0.264,0.241,0.216,0.194,0.182,0.179,0.183,0.191,0.203,0.22,0.246,0.284,0.331,0.378,0.417,0.441,0.448,0.435,0.406,0.368,0.33,0.294,0.26,0.225,0.191,0.166,0.158,0.175,0.214,0.265,0.314,0.354,0.386,0.419,0.454,0.485,0.502,0.502,0.487,0.473,0.469,0.48,0.491,0.487,0.461,0.42,0.376,0.339,0.315,0.306,0.31,0.319,0.326,0.328,0.326,0.324,0.328,0.34,0.359,0.376,0.383,0.378,0.364,0.351,0.34,0.327,0.305,0.278,0.253,0.244,0.252,0.27,0.288,0.297,0.295,0.285,0.272,0.263,0.26,0.266,0.278,0.295,0.31,0.321,0.327,0.324,0.312,0.294,0.279,0.274,0.283,0.3,0.316,0.323,0.321,0.315,0.313,0.316,0.324,0.332,0.334,0.326,0.312,0.297,0.288,0.282,0.278,0.273,0.267,0.263,0.261,0.262,0.266,0.271,0.274,0.274,0.272,0.267,0.259,0.247,0.236,0.226,0.22,0.218,0.224,0.238,0.255,0.266,0.265,0.255,0.244,0.241,0.243,0.246,0.245,0.243,0.241,0.242,0.246,0.253,0.259,0.263,0.264,0.261,0.254,0.243,0.23,0.214,0.195,0.176,0.155,0.133,0.11,0.087,0.066,0.048,0.034,0.026,0.02,0.017,0.014,0.011,0.01,0.01,0.015,0.025,0.041,0.063,0.089,0.117,0.145,0.168,0.184,0.194,0.201,0.209,0.218,0.225,0.231,0.239,0.253,0.269,0.284,0.295,0.303,0.311,0.322,0.336,0.357,0.383,0.408,0.415,0.392,0.34,0.275,0.223,0.199,0.209,0.244,0.291,0.336,0.37,0.384,0.381,0.366,0.349,0.333,0.32,0.31,0.304,0.3,0.297,0.292,0.287,0.285,0.285,0.287,0.286,0.285,0.287,0.296,0.311,0.331,0.349,0.357,0.347,0.32,0.283,0.254,0.243,0.254,0.276,0.298,0.315,0.327,0.341,0.357,0.373,0.391,0.414,0.446,0.48,0.507,0.523,0.528,0.514,0.476,0.416,0.35,0.296,0.264,0.253,0.256,0.264,0.274,0.285,0.301,0.327,0.362,0.397,0.419,0.422,0.409,0.394,0.386,0.38,0.366,0.335,0.294,0.256,0.23,0.217,0.213,0.21,0.203,0.192,0.182,0.181,0.192,0.208,0.223,0.227,0.22,0.208,0.201,0.204,0.217,0.236,0.253,0.265,0.268,0.262,0.249,0.236,0.235,0.251,0.278,0.307,0.329,0.343,0.35,0.349,0.339,0.323,0.308,0.307,0.322,0.348,0.371,0.374,0.347,0.295,0.229,0.164,0.112,0.074,0.05,0.036,0.028,0.023,0.02,0.018,0.016,0.014,0.012,0.01,0.009,0.01,0.016,0.032,0.06,0.1,0.15,0.207,0.266,0.323,0.374,0.413,0.438,0.45,0.448,0.436,0.418,0.403,0.4,0.406,0.414,0.413,0.395,0.36,0.315,0.275,0.252,0.254,0.276,0.31,0.349,0.387,0.413,0.419,0.403,0.374,0.344,0.324,0.317,0.321,0.332,0.341,0.351,0.365,0.389,0.415,0.428,0.419,0.394,0.37,0.365,0.384,0.417,0.447,0.456,0.435,0.39,0.339,0.304,0.296,0.313,0.338,0.352,0.345,0.321,0.295,0.276,0.271,0.275,0.28,0.274,0.255,0.229,0.21,0.211,0.233,0.269,0.306,0.336,0.355,0.369,0.385,0.406,0.424,0.425,0.398,0.344,0.279,0.222,0.187,0.178,0.199,0.25,0.326,0.416,0.501,0.56,0.581,0.566,0.528,0.481,0.433,0.39,0.358,0.343,0.345,0.359,0.377,0.392,0.399,0.4,0.392,0.38,0.37,0.368,0.376,0.398,0.436,0.488,0.548,0.604,0.645,0.664,0.658,0.632,0.6,0.579,0.578,0.587,0.589,0.566,0.525,0.475,0.431,0.396,0.365,0.332,0.299,0.27,0.251,0.244,0.247,0.253,0.255,0.25,0.234,0.206,0.173,0.14,0.113,0.096,0.088,0.088,0.096,0.115,0.147,0.197,0.264,0.336,0.39,0.407,0.383,0.334,0.286,0.256,0.251,0.271,0.309,0.351,0.375,0.365,0.325,0.275,0.244,0.245,0.273,0.307,0.328,0.33,0.317,0.3,0.289,0.285,0.29,0.298,0.308,0.319,0.332,0.348,0.364,0.374,0.375,0.364,0.345,0.326,0.314,0.315,0.326,0.34,0.348,0.346,0.336,0.322,0.305,0.286,0.271,0.261,0.261,0.27,0.284,0.293,0.292,0.281,0.264,0.25,0.241,0.24,0.243,0.243,0.238,0.226,0.211,0.198,0.19,0.186,0.185,0.182,0.172,0.154,0.128,0.099,0.072,0.052,0.038,0.029,0.024,0.021,0.018,0.016,0.013,0.012,0.014,0.022,0.038,0.063,0.094,0.126,0.157,0.185,0.213,0.239,0.26,0.272,0.27,0.259,0.243,0.228,0.22,0.219,0.225,0.235,0.249,0.272,0.304,0.34,0.369,0.383,0.382,0.374,0.369,0.374,0.386,0.398,0.401,0.391,0.373,0.353,0.34,0.337,0.348,0.369,0.392,0.403,0.392,0.36,0.317,0.281,0.262,0.262,0.275,0.294,0.313,0.327,0.332,0.327,0.316,0.305,0.301,0.308,0.324,0.338,0.334,0.307,0.265,0.223,0.197,0.194,0.21,0.24,0.273,0.302,0.32,0.322,0.307,0.275,0.233,0.192,0.168,0.171,0.199,0.24,0.282,0.317,0.343,0.361,0.37,0.368,0.358,0.347,0.342,0.343,0.343,0.34,0.335,0.336,0.343,0.35,0.344,0.324,0.293,0.262,0.235,0.214,0.194,0.173,0.147,0.118,0.087,0.062,0.043,0.031,0.026,0.028,0.043,0.077,0.134,0.209,0.284,0.334,0.343,0.311,0.256,0.2,0.164,0.156,0.179,0.228,0.293,0.36,0.416,0.449,0.458,0.446,0.425,0.407,0.403,0.408,0.415,0.414,0.403,0.385,0.364,0.341,0.315,0.282,0.249,0.229,0.235,0.272,0.327,0.38,0.414,0.431,0.443,0.454,0.454,0.427,0.37,0.299,0.235,0.199,0.205,0.256,0.342,0.442,0.527,0.582,0.599,0.585,0.548,0.498,0.446,0.399,0.359,0.322,0.285,0.246,0.21,0.183,0.175,0.188,0.216,0.248,0.272,0.286,0.296,0.307,0.322,0.341,0.362,0.381,0.392,0.388,0.371,0.347,0.327,0.315,0.312,0.316,0.324,0.325,0.315,0.3,0.289,0.293,0.31,0.331,0.342,0.339,0.326,0.313,0.308,0.317,0.341,0.377,0.418,0.451,0.465,0.457,0.433,0.404,0.377,0.353,0.326,0.291,0.246,0.193,0.141,0.095,0.062,0.041,0.029,0.023,0.019,0.015,0.011,0.008,0.008,0.012,0.024,0.045,0.079,0.126,0.178,0.226,0.26,0.279,0.293,0.312,0.343,0.381,0.42,0.451,0.471,0.478,0.47,0.442,0.397,0.344,0.306,0.299,0.329,0.382,0.437,0.476,0.495,0.499,0.502,0.508,0.522,0.544,0.573,0.598,0.6,0.568,0.506,0.437,0.39,0.377,0.395,0.431,0.471,0.505,0.525,0.53,0.524,0.518,0.518,0.522,0.521,0.51,0.491,0.473,0.456,0.434,0.399,0.356,0.317,0.292,0.282,0.278,0.266,0.243,0.21,0.182,0.168,0.171,0.184,0.193,0.191,0.177,0.16,0.146,0.143,0.15,0.165,0.184,0.207,0.23,0.25,0.265,0.277,0.286,0.296,0.305,0.317,0.333,0.355,0.377,0.39,0.389,0.373,0.348,0.319,0.287,0.252,0.216,0.179,0.145,0.117,0.095,0.077,0.063,0.057,0.063,0.088,0.134,0.199,0.278,0.364,0.445,0.508,0.538,0.529,0.486,0.43,0.386,0.372,0.387,0.418,0.442,0.447,0.431,0.408,0.393,0.397,0.415,0.441,0.468,0.495,0.517,0.52,0.494,0.443,0.387,0.347,0.332,0.332,0.326,0.304,0.265,0.226,0.206,0.222,0.276,0.356,0.435,0.491,0.511,0.503,0.482,0.464,0.455,0.449,0.436,0.409,0.367,0.316,0.27,0.242,0.247,0.288,0.353,0.419,0.463,0.478,0.476,0.477,0.489,0.511,0.535,0.555,0.568,0.571,0.559,0.533,0.499,0.467,0.441,0.417,0.392,0.364,0.342,0.33,0.331,0.334,0.33,0.314,0.29,0.269,0.259,0.262,0.274,0.287,0.292,0.287,0.276,0.268,0.266,0.269,0.267,0.252,0.221,0.181,0.139,0.102,0.073,0.051,0.037,0.028,0.023,0.021,0.024,0.037,0.068,0.123,0.203,0.299,0.392,0.471,0.528,0.566,0.584,0.577,0.546,0.501,0.456,0.424,0.409,0.409,0.416,0.418,0.408,0.388,0.365,0.353,0.357,0.375,0.393,0.399,0.381,0.343,0.296,0.256,0.232,0.224,0.221,0.213,0.195,0.174,0.16,0.163,0.186,0.223,0.263,0.29,0.295,0.278,0.253,0.242,0.262,0.317,0.391,0.455,0.492,0.503,0.5,0.495,0.487,0.47,0.439,0.396,0.347,0.298,0.258,0.237,0.24,0.263,0.29,0.306,0.299,0.271,0.233,0.2,0.184,0.192,0.22,0.261,0.309,0.364,0.423,0.481,0.538,0.592,0.641,0.676,0.695,0.708,0.723,0.734,0.718,0.658,0.564,0.463,0.385,0.34,0.322,0.322,0.336,0.366,0.41,0.462,0.512,0.547,0.562,0.568,0.581,0.614,0.667,0.727,0.782,0.813,0.81,0.768,0.694,0.604,0.519,0.454,0.413,0.391,0.379,0.369,0.358,0.346,0.33,0.311,0.289,0.268,0.249,0.232,0.213,0.189,0.162,0.136,0.116,0.104,0.103,0.114,0.137,0.174,0.22,0.267,0.305,0.326,0.329,0.321,0.316,0.323,0.341,0.36,0.375,0.384,0.393,0.403,0.408,0.403,0.386,0.365,0.354,0.358,0.371,0.38,0.373,0.352,0.323,0.295,0.272,0.259,0.26,0.273,0.292,0.308,0.314,0.308,0.291,0.269,0.245,0.223,0.208,0.203,0.209,0.223,0.24,0.255,0.265,0.271,0.273,0.274,0.276,0.277,0.275,0.269,0.26,0.254,0.254,0.26,0.265,0.264,0.255,0.241,0.229,0.222,0.221,0.222,0.221,0.215,0.204,0.19,0.176,0.163,0.153,0.146,0.145,0.144,0.142,0.137,0.131,0.124,0.118,0.11,0.099,0.086,0.071,0.057,0.045,0.035,0.027,0.021,0.016,0.012,0.01,0.01,0.013,0.02,0.033,0.053,0.079,0.109,0.139,0.167,0.192,0.214,0.234,0.253,0.271,0.284,0.289,0.285,0.276,0.273,0.281,0.301,0.322,0.334,0.326,0.296,0.252,0.209,0.183,0.182,0.204,0.242,0.287,0.33,0.366,0.388,0.398,0.401,0.409,0.425,0.444,0.455,0.453,0.434,0.405,0.374,0.347,0.327,0.316,0.312,0.311,0.305,0.291,0.269,0.243,0.222,0.213,0.225,0.258,0.307,0.357,0.393,0.407,0.404,0.396,0.387,0.376,0.36,0.341,0.323,0.303,0.276,0.24,0.202,0.171,0.154,0.155,0.172,0.203,0.241,0.283,0.321,0.349,0.362,0.362,0.353,0.342,0.337,0.343,0.358,0.372,0.371,0.352,0.323,0.296,0.28,0.275,0.274,0.27,0.258,0.237,0.212,0.185,0.156,0.126,0.096,0.071,0.052,0.04,0.033,0.028,0.023,0.018,0.015,0.016,0.027,0.052,0.097,0.165,0.253,0.351,0.447,0.527,0.586,0.618,0.628,0.622,0.613,0.608,0.608,0.609,0.607,0.607,0.616,0.639,0.67,0.696,0.703,0.686,0.652,0.612,0.577,0.555,0.547,0.55,0.554,0.549,0.532,0.511,0.5,0.502,0.508,0.502,0.476,0.433,0.386,0.348,0.327,0.322,0.326,0.33,0.325,0.308,0.282,0.257,0.238,0.231,0.233,0.242,0.253,0.265,0.277,0.289,0.3,0.306,0.305,0.295,0.275,0.248,0.222,0.204,0.201,0.213,0.234,0.254,0.265,0.265,0.258,0.249,0.244,0.242,0.248,0.261,0.282,0.301,0.306,0.292,0.268,0.252,0.259,0.29,0.327,0.347,0.334,0.292,0.236,0.19,0.172,0.193,0.245,0.308,0.359,0.384,0.387,0.383,0.384,0.396,0.417,0.438,0.448,0.441,0.417,0.383,0.352,0.336,0.337,0.354,0.385,0.424,0.461,0.481,0.477,0.451,0.421,0.404,0.408,0.427,0.444,0.442,0.412,0.359,0.304,0.268,0.26,0.277,0.307,0.34,0.372,0.4,0.42,0.426,0.414,0.391,0.367,0.35,0.345,0.349,0.357,0.363,0.363,0.359,0.358,0.368,0.388,0.407,0.416,0.411,0.402,0.398,0.401,0.404,0.398,0.385,0.37,0.359,0.349,0.335,0.315,0.292,0.271,0.251,0.229,0.205,0.179,0.156,0.139,0.132,0.137,0.155,0.183,0.215,0.245,0.268,0.283,0.289,0.286,0.273,0.258,0.243,0.236,0.239,0.247,0.256,0.261,0.26,0.258,0.258,0.262,0.272,0.286,0.3,0.311,0.317,0.32,0.322,0.321,0.314,0.304,0.295,0.294,0.302,0.314,0.323,0.325,0.323,0.318,0.313,0.308,0.305,0.305,0.309,0.319,0.335,0.35,0.355,0.344,0.319,0.291,0.266,0.25,0.24,0.234,0.229,0.227,0.227,0.232,0.24,0.25,0.26,0.264,0.262,0.252,0.238,0.224,0.216,0.215,0.22,0.228,0.237,0.244,0.249,0.253,0.259,0.271,0.284,0.291,0.284,0.263,0.236,0.212,0.194,0.182,0.177,0.177,0.182,0.186,0.185,0.174,0.153,0.126,0.098,0.073,0.054,0.042,0.035,0.029,0.024,0.019,0.017,0.02,0.032,0.055,0.089,0.131,0.179,0.232,0.287,0.339,0.377,0.398,0.4,0.39,0.373,0.361,0.359,0.371,0.393,0.417,0.433,0.434,0.419,0.391,0.36,0.336,0.324,0.324,0.333,0.347,0.36,0.371,0.381,0.391,0.406,0.422,0.437,0.444,0.443,0.433,0.42,0.406,0.397,0.393,0.392,0.391,0.385,0.372,0.35,0.324,0.301,0.288,0.286,0.288,0.288,0.282,0.274,0.271,0.274,0.283,0.294,0.303,0.304,0.294,0.273,0.243,0.208,0.178,0.163,0.165,0.184,0.212,0.239,0.262,0.279,0.296,0.314,0.331,0.341,0.339,0.327,0.31,0.296,0.291,0.295,0.304,0.309,0.3,0.278,0.249,0.223,0.205,0.192,0.18,0.165,0.146,0.123,0.1,0.078,0.06,0.047,0.037,0.031,0.027,0.024,0.025,0.03,0.044,0.069,0.112,0.173,0.248,0.325,0.389,0.435,0.467,0.495,0.523,0.549,0.566,0.569,0.557,0.539,0.521,0.514,0.521,0.535,0.545,0.544,0.533,0.525,0.529,0.549,0.575,0.591,0.584,0.55,0.498,0.446,0.407,0.391,0.394,0.41,0.428,0.44,0.443,0.438,0.425,0.404,0.384,0.371,0.369,0.369,0.359,0.338,0.314,0.296,0.29,0.29,0.291,0.288,0.281,0.272,0.259,0.245,0.233,0.228,0.227,0.225,0.214,0.193,0.167,0.141,0.119,0.107,0.108,0.125,0.157,0.202,0.251,0.292,0.315,0.318,0.307,0.293,0.284,0.279,0.277,0.272,0.26,0.237,0.208,0.182,0.168,0.165,0.171,0.18,0.189,0.195,0.196,0.19,0.182,0.177,0.18,0.19,0.206,0.22,0.228,0.231,0.236,0.249,0.274,0.305,0.329,0.34,0.337,0.326,0.313,0.299,0.28,0.258,0.236,0.217,0.2,0.182,0.163,0.148,0.148,0.167,0.2,0.239,0.277,0.315,0.354,0.388,0.41,0.415,0.408,0.399,0.396,0.399,0.401,0.399,0.389,0.374,0.358,0.346,0.337,0.332,0.328,0.323,0.321,0.324,0.33,0.335,0.335,0.329,0.323,0.32,0.323,0.331,0.342,0.353,0.361,0.361,0.349,0.322,0.284,0.247,0.22,0.211,0.218,0.238,0.262,0.284,0.3,0.307,0.306,0.302,0.3,0.305,0.312,0.316,0.312,0.301,0.289,0.281,0.28,0.28,0.275,0.264,0.251,0.245,0.25,0.263,0.281,0.3,0.319,0.338,0.357,0.371,0.379,0.378,0.372,0.362,0.354,0.351,0.352,0.355,0.352,0.339,0.317,0.292,0.273,0.261,0.257,0.258,0.261,0.266,0.27,0.272,0.269,0.262,0.255,0.256,0.266,0.276,0.278,0.264,0.24,0.215,0.198,0.19,0.19,0.194,0.201,0.209,0.216,0.22,0.219,0.216,0.213,0.211,0.21,0.205,0.198,0.19,0.184,0.183,0.185,0.189,0.194,0.198,0.199,0.198,0.193,0.182,0.165,0.143,0.121,0.1,0.081,0.065,0.05,0.038,0.028,0.022,0.018,0.019,0.023,0.028,0.034,0.035,0.032,0.026,0.019,0.014,0.012,0.013,0.017,0.022,0.029,0.035,0.041,0.044,0.045,0.043,0.041,0.04]