[0.023,0.022,0.021,0.02,0.02,0.02,0.02,0.022,0.026,0.034,0.047,0.061,0.07,0.072,0.067,0.058,0.05,0.043,0.039,0.037,0.037,0.038,0.04,0.042,0.042,0.04,0.037,0.032,0.027,0.022,0.018,0.015,0.012,0.01,0.009,0.008,0.008,0.008,0.007,0.007,0.007,0.007,0.008,0.01,0.011,0.013,0.014,0.016,0.017,0.019,0.021,0.024,0.027,0.03,0.032,0.034,0.036,0.04,0.044,0.049,0.059,0.074,0.098,0.129,0.166,0.204,0.244,0.285,0.324,0.356,0.37,0.363,0.342,0.321,0.308,0.301,0.289,0.269,0.243,0.218,0.199,0.187,0.184,0.189,0.201,0.218,0.236,0.255,0.272,0.284,0.287,0.283,0.273,0.262,0.252,0.243,0.235,0.229,0.23,0.243,0.272,0.319,0.375,0.43,0.475,0.503,0.511,0.498,0.471,0.439,0.412,0.395,0.383,0.371,0.355,0.339,0.329,0.327,0.333,0.349,0.373,0.401,0.427,0.447,0.457,0.459,0.453,0.443,0.433,0.421,0.404,0.379,0.355,0.337,0.333,0.341,0.358,0.38,0.404,0.431,0.457,0.474,0.47,0.444,0.407,0.382,0.379,0.392,0.408,0.419,0.431,0.448,0.468,0.474,0.461,0.433,0.41,0.398,0.39,0.371,0.338,0.302,0.28,0.281,0.304,0.338,0.372,0.398,0.415,0.426,0.431,0.432,0.431,0.422,0.402,0.369,0.333,0.309,0.306,0.317,0.332,0.341,0.347,0.351,0.354,0.353,0.348,0.338,0.328,0.319,0.311,0.303,0.3,0.304,0.319,0.344,0.374,0.405,0.436,0.463,0.484,0.495,0.501,0.511,0.531,0.552,0.563,0.554,0.529,0.501,0.481,0.467,0.457,0.447,0.441,0.441,0.45,0.464,0.473,0.473,0.462,0.44,0.408,0.372,0.336,0.307,0.29,0.287,0.295,0.309,0.322,0.332,0.341,0.354,0.37,0.388,0.401,0.405,0.401,0.392,0.38,0.372,0.37,0.373,0.377,0.377,0.371,0.362,0.359,0.368,0.392,0.418,0.435,0.433,0.417,0.396,0.376,0.355,0.333,0.315,0.306,0.309,0.316,0.323,0.324,0.323,0.32,0.316,0.311,0.304,0.301,0.31,0.332,0.357,0.375,0.379,0.369,0.35,0.329,0.314,0.313,0.331,0.365,0.404,0.429,0.43,0.412,0.388,0.368,0.35,0.324,0.287,0.244,0.207,0.179,0.159,0.14,0.122,0.104,0.088,0.076,0.066,0.06,0.056,0.054,0.055,0.059,0.065,0.073,0.084,0.103,0.131,0.166,0.2,0.231,0.259,0.284,0.31,0.337,0.364,0.391,0.413,0.429,0.439,0.444,0.444,0.439,0.433,0.429,0.427,0.423,0.413,0.395,0.375,0.362,0.357,0.358,0.359,0.354,0.343,0.322,0.292,0.254,0.214,0.179,0.157,0.154,0.169,0.195,0.224,0.247,0.266,0.284,0.304,0.327,0.353,0.382,0.41,0.425,0.416,0.383,0.339,0.302,0.282,0.283,0.3,0.323,0.343,0.36,0.386,0.429,0.483,0.523,0.532,0.51,0.478,0.454,0.447,0.451,0.458,0.463,0.465,0.469,0.475,0.481,0.478,0.461,0.431,0.396,0.365,0.347,0.341,0.346,0.355,0.365,0.375,0.381,0.383,0.377,0.361,0.34,0.316,0.296,0.283,0.276,0.274,0.274,0.28,0.295,0.321,0.351,0.374,0.382,0.373,0.353,0.336,0.332,0.347,0.372,0.396,0.408,0.41,0.403,0.388,0.36,0.315,0.261,0.21,0.172,0.148,0.131,0.112,0.093,0.075,0.062,0.053,0.046,0.04,0.035,0.031,0.027,0.025,0.022,0.021,0.02,0.019,0.018,0.017,0.017,0.018,0.02,0.022,0.028,0.041,0.065,0.101,0.145,0.191,0.231,0.259,0.273,0.275,0.27,0.262,0.254,0.246,0.237,0.228,0.217,0.206,0.201,0.205,0.221,0.246,0.273,0.297,0.312,0.314,0.309,0.301,0.297,0.299,0.305,0.31,0.313,0.315,0.321,0.334,0.354,0.374,0.385,0.389,0.391,0.397,0.409,0.423,0.439,0.457,0.475,0.485,0.477,0.449,0.411,0.376,0.353,0.346,0.35,0.359,0.373,0.389,0.407,0.427,0.444,0.451,0.442,0.42,0.393,0.368,0.343,0.318,0.296,0.29,0.303,0.327,0.341,0.337,0.325,0.324,0.346,0.381,0.416,0.432,0.425,0.4,0.378,0.374,0.395,0.43,0.466,0.491,0.504,0.506,0.499,0.481,0.452,0.409,0.356,0.301,0.256,0.231,0.227,0.241,0.264,0.294,0.328,0.365,0.4,0.426,0.436,0.43,0.412,0.39,0.369,0.349,0.328,0.302,0.278,0.261,0.257,0.26,0.264,0.267,0.27,0.279,0.293,0.307,0.314,0.311,0.3,0.285,0.27,0.258,0.25,0.244,0.242,0.242,0.243,0.245,0.245,0.246,0.254,0.275,0.307,0.343,0.37,0.385,0.391,0.392,0.389,0.384,0.377,0.373,0.373,0.378,0.384,0.386,0.379,0.361,0.336,0.308,0.284,0.266,0.253,0.242,0.23,0.223,0.224,0.233,0.249,0.263,0.272,0.274,0.276,0.286,0.314,0.353,0.389,0.404,0.391,0.357,0.317,0.285,0.268,0.267,0.275,0.286,0.293,0.295,0.29,0.278,0.259,0.243,0.237,0.247,0.266,0.286,0.299,0.304,0.308,0.315,0.327,0.339,0.346,0.346,0.338,0.324,0.303,0.275,0.245,0.224,0.221,0.238,0.267,0.294,0.309,0.316,0.32,0.324,0.322,0.313,0.303,0.298,0.297,0.294,0.284,0.269,0.255,0.244,0.233,0.213,0.182,0.143,0.105,0.075,0.055,0.042,0.035,0.03,0.028,0.027,0.027,0.027,0.026,0.024,0.021,0.018,0.016,0.016,0.02,0.028,0.044,0.071,0.108,0.157,0.215,0.275,0.328,0.367,0.389,0.395,0.388,0.368,0.337,0.299,0.26,0.225,0.195,0.17,0.155,0.153,0.172,0.208,0.252,0.289,0.31,0.316,0.319,0.328,0.349,0.379,0.413,0.445,0.467,0.477,0.471,0.452,0.424,0.397,0.376,0.367,0.364,0.363,0.356,0.346,0.338,0.338,0.344,0.35,0.351,0.343,0.328,0.308,0.29,0.282,0.29,0.313,0.34,0.355,0.353,0.34,0.333,0.343,0.368,0.395,0.416,0.436,0.465,0.503,0.54,0.566,0.581,0.598,0.626,0.665,0.709,0.751,0.783,0.802,0.809,0.807,0.796,0.774,0.738,0.685,0.622,0.557,0.506,0.483,0.494,0.532,0.582,0.625,0.647,0.641,0.607,0.553,0.488,0.42,0.357,0.303,0.264,0.24,0.226,0.217,0.205,0.185,0.155,0.122,0.094,0.074,0.062,0.055,0.049,0.044,0.039,0.033,0.028,0.024,0.02,0.017,0.016,0.016,0.017,0.017,0.018,0.018,0.019,0.024,0.036,0.055,0.081,0.11,0.138,0.166,0.197,0.233,0.276,0.32,0.362,0.392,0.404,0.398,0.375,0.341,0.302,0.264,0.228,0.196,0.171,0.156,0.158,0.18,0.217,0.26,0.296,0.32,0.332,0.341,0.356,0.377,0.394,0.394,0.371,0.331,0.286,0.253,0.242,0.251,0.278,0.313,0.348,0.376,0.397,0.417,0.445,0.481,0.517,0.544,0.555,0.548,0.526,0.495,0.467,0.448,0.441,0.436,0.424,0.404,0.385,0.378,0.393,0.422,0.453,0.466,0.454,0.421,0.38,0.345,0.324,0.312,0.307,0.305,0.307,0.31,0.311,0.309,0.304,0.301,0.302,0.309,0.319,0.331,0.343,0.356,0.37,0.383,0.394,0.398,0.39,0.369,0.339,0.312,0.3,0.308,0.334,0.362,0.375,0.362,0.329,0.293,0.268,0.265,0.28,0.304,0.327,0.343,0.348,0.344,0.332,0.32,0.312,0.31,0.309,0.303,0.292,0.28,0.27,0.262,0.253,0.244,0.238,0.234,0.229,0.222,0.219,0.221,0.227,0.231,0.228,0.218,0.206,0.196,0.19,0.189,0.189,0.191,0.197,0.208,0.223,0.241,0.265,0.292,0.318,0.335,0.341,0.334,0.317,0.295,0.276,0.268,0.272,0.283,0.293,0.299,0.298,0.291,0.277,0.255,0.225,0.195,0.169,0.155,0.151,0.16,0.183,0.222,0.276,0.335,0.385,0.417,0.428,0.428,0.43,0.441,0.457,0.47,0.473,0.465,0.449,0.429,0.404,0.375,0.346,0.322,0.308,0.306,0.316,0.336,0.367,0.408,0.459,0.51,0.541,0.537,0.498,0.445,0.399,0.369,0.353,0.349,0.35,0.353,0.349,0.337,0.322,0.316,0.322,0.339,0.361,0.386,0.408,0.419,0.415,0.397,0.372,0.348,0.325,0.305,0.297,0.306,0.329,0.348,0.351,0.334,0.305,0.273,0.241,0.207,0.17,0.134,0.105,0.087,0.077,0.071,0.064,0.054,0.045,0.038,0.033,0.03,0.027,0.024,0.021,0.018,0.015,0.013,0.013,0.016,0.022,0.033,0.049,0.071,0.098,0.127,0.156,0.184,0.215,0.25,0.286,0.314,0.329,0.339,0.352,0.374,0.394,0.396,0.368,0.318,0.266,0.228,0.21,0.208,0.217,0.231,0.248,0.265,0.28,0.293,0.301,0.304,0.3,0.29,0.272,0.25,0.228,0.216,0.219,0.24,0.274,0.318,0.365,0.408,0.436,0.444,0.434,0.417,0.404,0.399,0.399,0.402,0.412,0.425,0.431,0.418,0.387,0.349,0.317,0.293,0.275,0.263,0.262,0.278,0.312,0.353,0.39,0.419,0.443,0.472,0.509,0.546,0.568,0.57,0.561,0.556,0.562,0.577,0.587,0.581,0.552,0.504,0.45,0.402,0.366,0.344,0.342,0.362,0.396,0.427,0.438,0.425,0.395,0.366,0.346,0.34,0.343,0.344,0.334,0.308,0.274,0.242,0.216,0.193,0.17,0.147,0.128,0.114,0.103,0.092,0.08,0.07,0.063,0.057,0.053,0.05,0.048,0.046,0.046,0.046,0.047,0.049,0.05,0.052,0.054,0.055,0.053,0.048,0.042,0.035,0.03,0.026,0.023,0.021,0.019,0.017,0.015,0.014,0.016,0.025,0.04,0.061,0.088,0.117,0.147,0.177,0.208,0.237,0.265,0.294,0.327,0.359,0.387,0.403,0.409,0.406,0.402,0.4,0.403,0.414,0.432,0.458,0.49,0.524,0.553,0.563,0.548,0.51,0.461,0.416,0.385,0.366,0.351,0.331,0.306,0.283,0.272,0.272,0.275,0.275,0.273,0.274,0.285,0.306,0.328,0.343,0.344,0.332,0.311,0.289,0.271,0.26,0.257,0.263,0.276,0.294,0.315,0.339,0.366,0.391,0.409,0.414,0.406,0.39,0.37,0.345,0.319,0.298,0.286,0.288,0.301,0.321,0.342,0.363,0.378,0.386,0.387,0.385,0.38,0.373,0.366,0.363,0.355,0.333,0.294,0.247,0.213,0.204,0.223,0.262,0.31,0.361,0.404,0.43,0.433,0.411,0.375,0.341,0.318,0.31,0.309,0.306,0.297,0.284,0.273,0.273,0.285,0.304,0.322,0.331,0.329,0.319,0.306,0.295,0.29,0.29,0.292,0.292,0.289,0.289,0.297,0.316,0.341,0.367,0.388,0.403,0.408,0.404,0.398,0.393,0.395,0.405,0.42,0.433,0.439,0.431,0.415,0.4,0.392,0.387,0.379,0.365,0.349,0.333,0.321,0.314,0.311,0.311,0.308,0.297,0.276,0.253,0.232,0.216,0.204,0.196,0.191,0.192,0.198,0.209,0.223,0.238,0.252,0.266,0.282,0.303,0.328,0.351,0.366,0.366,0.356,0.345,0.337,0.332,0.322,0.305,0.285,0.27,0.264,0.266,0.272,0.279,0.285,0.29,0.294,0.295,0.291,0.281,0.269,0.256,0.244,0.233,0.225,0.225,0.231,0.237,0.237,0.229,0.217,0.21,0.212,0.219,0.225,0.227,0.227,0.232,0.242,0.251,0.253,0.247,0.234,0.219,0.203,0.186,0.169,0.153,0.142,0.137,0.141,0.152,0.164,0.172,0.17,0.157,0.136,0.114,0.094,0.079,0.067,0.058,0.049,0.041,0.033,0.026,0.021,0.019,0.02,0.021,0.024,0.025,0.026,0.027,0.027,0.026,0.026,0.025,0.027,0.034,0.049,0.072,0.099,0.128,0.158,0.192,0.234,0.282,0.333,0.377,0.411,0.438,0.463,0.494,0.534,0.58,0.627,0.663,0.678,0.666,0.635,0.6,0.578,0.566,0.552,0.524,0.479,0.431,0.392,0.372,0.364,0.365,0.368,0.377,0.391,0.408,0.42,0.422,0.416,0.409,0.406,0.412,0.424,0.44,0.452,0.457,0.453,0.444,0.433,0.421,0.408,0.389,0.368,0.351,0.347,0.365,0.409,0.476,0.554,0.618,0.645,0.621,0.564,0.497,0.447,0.414,0.391,0.363,0.332,0.306,0.296,0.306,0.335,0.368,0.391,0.396,0.388,0.38,0.382,0.392,0.401,0.399,0.388,0.381,0.389,0.413,0.438,0.446,0.429,0.393,0.348,0.303,0.265,0.233,0.209,0.194,0.19,0.196,0.208,0.22,0.226,0.223,0.213,0.202,0.196,0.195,0.2,0.208,0.218,0.226,0.227,0.219,0.199,0.174,0.151,0.138,0.133,0.132,0.127,0.117,0.102,0.087,0.072,0.059,0.048,0.038,0.03,0.024,0.021,0.018,0.016,0.015,0.013,0.012,0.011,0.009,0.008,0.007,0.006,0.005,0.004,0.003,0.003,0.002,0.003,0.006,0.011,0.024,0.05,0.1,0.178,0.277,0.377,0.454,0.497,0.508,0.499,0.483,0.469,0.46,0.458,0.465,0.477,0.485,0.482,0.464,0.438,0.413,0.394,0.382,0.377,0.379,0.388,0.405,0.424,0.445,0.462,0.47,0.462,0.433,0.389,0.34,0.298,0.267,0.243,0.22,0.196,0.175,0.166,0.175,0.204,0.245,0.291,0.329,0.352,0.358,0.355,0.353,0.359,0.368,0.369,0.355,0.329,0.301,0.284,0.289,0.322,0.377,0.442,0.505,0.567,0.636,0.708,0.769,0.796,0.783,0.747,0.71,0.682,0.653,0.613,0.564,0.519,0.485,0.46,0.437,0.416,0.405,0.413,0.44,0.476,0.51,0.533,0.549,0.564,0.588,0.621,0.652,0.657,0.619,0.547,0.466,0.402,0.358,0.33,0.309,0.298,0.301,0.313,0.326,0.331,0.324,0.307,0.289,0.276,0.273,0.275,0.28,0.285,0.291,0.3,0.31,0.322,0.332,0.336,0.333,0.324,0.317,0.32,0.332,0.345,0.352,0.354,0.355,0.361,0.374,0.393,0.41,0.419,0.416,0.407,0.398,0.397,0.402,0.409,0.412,0.41,0.403,0.393,0.383,0.376,0.377,0.382,0.388,0.389,0.385,0.381,0.381,0.388,0.394,0.39,0.37,0.339,0.31,0.291,0.283,0.281,0.279,0.279,0.284,0.296,0.314,0.334,0.353,0.367,0.369,0.354,0.327,0.302,0.295,0.312,0.341,0.364,0.37,0.364,0.357,0.353,0.352,0.347,0.334,0.316,0.298,0.285,0.285,0.299,0.324,0.349,0.359,0.352,0.332,0.309,0.293,0.284,0.28,0.273,0.261,0.245,0.228,0.214,0.205,0.202,0.201,0.201,0.202,0.203,0.208,0.218,0.232,0.246,0.255,0.252,0.242,0.229,0.219,0.21,0.201,0.193,0.189,0.191,0.196,0.197,0.189,0.171,0.146,0.12,0.097,0.079,0.065,0.055,0.047,0.039,0.032,0.026,0.021,0.018,0.015,0.013,0.011,0.009,0.008,0.007,0.007,0.007,0.007,0.007,0.008,0.017,0.037,0.071,0.116,0.163,0.2,0.222,0.233,0.239,0.25,0.269,0.294,0.324,0.358,0.401,0.449,0.493,0.52,0.521,0.5,0.471,0.448,0.433,0.421,0.404,0.381,0.356,0.331,0.308,0.287,0.274,0.273,0.288,0.313,0.339,0.353,0.348,0.325,0.297,0.28,0.29,0.325,0.371,0.404,0.413,0.401,0.382,0.37,0.363,0.356,0.344,0.329,0.324,0.335,0.363,0.393,0.409,0.402,0.377,0.347,0.332,0.341,0.374,0.417,0.457,0.481,0.484,0.469,0.444,0.422,0.411,0.417,0.433,0.447,0.444,0.417,0.369,0.314,0.266,0.233,0.215,0.207,0.205,0.208,0.217,0.234,0.256,0.277,0.295,0.308,0.318,0.327,0.336,0.345,0.353,0.358,0.363,0.366,0.369,0.37,0.374,0.38,0.392,0.408,0.426,0.443,0.456,0.468,0.484,0.504,0.517,0.51,0.479,0.43,0.381,0.343,0.319,0.305,0.293,0.282,0.274,0.272,0.277,0.288,0.3,0.307,0.304,0.293,0.283,0.281,0.291,0.307,0.322,0.331,0.332,0.327,0.315,0.302,0.295,0.299,0.313,0.333,0.35,0.359,0.359,0.351,0.338,0.321,0.3,0.277,0.254,0.236,0.226,0.23,0.248,0.279,0.315,0.34,0.344,0.326,0.297,0.275,0.272,0.288,0.313,0.334,0.337,0.322,0.3,0.283,0.278,0.282,0.284,0.277,0.265,0.257,0.259,0.27,0.283,0.292,0.295,0.292,0.28,0.258,0.232,0.212,0.208,0.221,0.236,0.239,0.225,0.2,0.172,0.148,0.125,0.104,0.084,0.067,0.055,0.045,0.039,0.035,0.034,0.035,0.04,0.048,0.058,0.065,0.067,0.065,0.061,0.057,0.052,0.046,0.039,0.032,0.027,0.024,0.022,0.02,0.019,0.017,0.016,0.014,0.012,0.011,0.012,0.014,0.019,0.027,0.039,0.054,0.07,0.087,0.103,0.119,0.137,0.158,0.184,0.212,0.236,0.255,0.269,0.28,0.292,0.307,0.326,0.346,0.358,0.357,0.345,0.328,0.314,0.303,0.292,0.282,0.275,0.27,0.266,0.264,0.264,0.266,0.267,0.27,0.275,0.284,0.297,0.311,0.327,0.343,0.359,0.368,0.366,0.36,0.357,0.365,0.384,0.406,0.42,0.423,0.42,0.418,0.419,0.419,0.416,0.407,0.395,0.384,0.375,0.369,0.364,0.358,0.348,0.339,0.331,0.328,0.328,0.334,0.344,0.358,0.365,0.361,0.347,0.333,0.327,0.331,0.34,0.343,0.336,0.322,0.311,0.31,0.318,0.33,0.338,0.34,0.341,0.344,0.351,0.359,0.359,0.35,0.331,0.308,0.283,0.259,0.236,0.218,0.21,0.216,0.236,0.267,0.303,0.336,0.36,0.37,0.366,0.348,0.323,0.298,0.277,0.261,0.249,0.243,0.248,0.265,0.292,0.322,0.344,0.355,0.356,0.353,0.352,0.357,0.368,0.381,0.387,0.384,0.375,0.366,0.361,0.36,0.359,0.356,0.351,0.347,0.346,0.351,0.364,0.385,0.411,0.436,0.457,0.473,0.481,0.481,0.473,0.463,0.46,0.47,0.492,0.516,0.532,0.534,0.52,0.496,0.469,0.443,0.419,0.396,0.369,0.34,0.312,0.294,0.289,0.296,0.305,0.308,0.305,0.296,0.29,0.29,0.297,0.309,0.323,0.337,0.35,0.359,0.356,0.342,0.321,0.306,0.304,0.315,0.331,0.348,0.359,0.363,0.36,0.351,0.343,0.338,0.334,0.329,0.324,0.324,0.327,0.329,0.323,0.307,0.291,0.28,0.276,0.276,0.279,0.289,0.309,0.341,0.38,0.417,0.437,0.432,0.403,0.366,0.335,0.318,0.309,0.297,0.278,0.257,0.243,0.242,0.25,0.262,0.27,0.272,0.266,0.258,0.252,0.249,0.25,0.249,0.245,0.236,0.221,0.201,0.176,0.148,0.118,0.09,0.068,0.053,0.044,0.04,0.038,0.038,0.037,0.036,0.035,0.032,0.029,0.026,0.023,0.022,0.026,0.038,0.066,0.113,0.177,0.246,0.305,0.345,0.366,0.377,0.381,0.377,0.368,0.357,0.348,0.343,0.342,0.345,0.351,0.357,0.361,0.359,0.35,0.34,0.334,0.336,0.346,0.358,0.368,0.37,0.364,0.354,0.348,0.347,0.348,0.342,0.324,0.296,0.264,0.234,0.206,0.181,0.163,0.157,0.163,0.18,0.197,0.208,0.209,0.206,0.206,0.214,0.233,0.258,0.281,0.296,0.297,0.291,0.281,0.273,0.267,0.26,0.253,0.248,0.248,0.255,0.267,0.275,0.276,0.272,0.272,0.279,0.29,0.3,0.308,0.315,0.325,0.338,0.354,0.366,0.37,0.359,0.339,0.318,0.306,0.31,0.327,0.349,0.367,0.378,0.383,0.384,0.381,0.379,0.381,0.388,0.393,0.389,0.367,0.335,0.304,0.284,0.281,0.29,0.304,0.319,0.333,0.348,0.359,0.364,0.364,0.364,0.365,0.364,0.356,0.346,0.342,0.35,0.36,0.359,0.339,0.305,0.273,0.256,0.255,0.263,0.277,0.296,0.324,0.356,0.382,0.39,0.378,0.354,0.333,0.324,0.327,0.335,0.337,0.329,0.318,0.308,0.303,0.299,0.294,0.288,0.284,0.279,0.27,0.257,0.24,0.224,0.212,0.207]