[0.05,0.05,0.049,0.049,0.05,0.05,0.051,0.051,0.05,0.048,0.045,0.041,0.038,0.036,0.035,0.035,0.036,0.038,0.042,0.046,0.05,0.053,0.054,0.054,0.052,0.051,0.05,0.052,0.055,0.057,0.06,0.061,0.064,0.067,0.07,0.071,0.07,0.069,0.07,0.075,0.084,0.098,0.112,0.124,0.134,0.144,0.157,0.175,0.196,0.221,0.254,0.297,0.344,0.381,0.399,0.399,0.387,0.371,0.352,0.337,0.33,0.333,0.342,0.348,0.349,0.357,0.385,0.431,0.482,0.523,0.553,0.572,0.579,0.56,0.508,0.429,0.345,0.277,0.235,0.224,0.239,0.272,0.309,0.334,0.343,0.341,0.338,0.342,0.35,0.357,0.359,0.359,0.359,0.365,0.378,0.397,0.412,0.416,0.412,0.407,0.407,0.41,0.411,0.414,0.427,0.447,0.465,0.464,0.436,0.383,0.319,0.261,0.221,0.205,0.211,0.23,0.25,0.263,0.265,0.259,0.249,0.239,0.234,0.231,0.226,0.219,0.208,0.199,0.197,0.208,0.238,0.283,0.335,0.382,0.412,0.418,0.404,0.381,0.361,0.355,0.358,0.363,0.362,0.356,0.346,0.331,0.311,0.29,0.276,0.272,0.275,0.28,0.282,0.28,0.277,0.275,0.276,0.278,0.28,0.284,0.288,0.292,0.29,0.28,0.263,0.241,0.219,0.201,0.186,0.173,0.161,0.149,0.139,0.134,0.135,0.139,0.141,0.137,0.126,0.111,0.094,0.08,0.074,0.079,0.101,0.135,0.178,0.219,0.251,0.268,0.269,0.258,0.243,0.231,0.223,0.218,0.21,0.197,0.183,0.174,0.176,0.187,0.202,0.216,0.228,0.239,0.248,0.254,0.255,0.25,0.238,0.223,0.207,0.188,0.167,0.149,0.142,0.152,0.176,0.209,0.239,0.258,0.267,0.267,0.264,0.262,0.265,0.272,0.282,0.29,0.296,0.299,0.3,0.3,0.298,0.296,0.301,0.315,0.334,0.343,0.336,0.32,0.31,0.314,0.33,0.34,0.331,0.299,0.254,0.212,0.191,0.194,0.216,0.244,0.266,0.277,0.279,0.282,0.293,0.316,0.344,0.369,0.384,0.39,0.388,0.377,0.353,0.317,0.274,0.242,0.233,0.25,0.283,0.318,0.347,0.371,0.397,0.426,0.448,0.449,0.422,0.371,0.308,0.243,0.184,0.139,0.113,0.11,0.126,0.154,0.184,0.209,0.229,0.245,0.258,0.265,0.259,0.24,0.213,0.189,0.175,0.172,0.176,0.184,0.192,0.2,0.206,0.206,0.199,0.184,0.168,0.156,0.15,0.147,0.143,0.133,0.116,0.095,0.075,0.06,0.048,0.04,0.035,0.03,0.027,0.025,0.024,0.023,0.024,0.026,0.029,0.036,0.046,0.063,0.089,0.128,0.18,0.239,0.299,0.351,0.39,0.413,0.425,0.432,0.439,0.446,0.455,0.462,0.469,0.476,0.48,0.481,0.475,0.458,0.43,0.398,0.37,0.35,0.341,0.341,0.35,0.369,0.392,0.412,0.42,0.418,0.41,0.4,0.379,0.347,0.305,0.268,0.25,0.257,0.283,0.318,0.353,0.381,0.398,0.4,0.383,0.351,0.309,0.267,0.228,0.196,0.177,0.174,0.19,0.222,0.259,0.291,0.314,0.329,0.347,0.367,0.391,0.414,0.434,0.446,0.443,0.423,0.391,0.359,0.332,0.314,0.305,0.304,0.309,0.315,0.32,0.323,0.324,0.325,0.321,0.309,0.289,0.261,0.229,0.198,0.171,0.153,0.148,0.155,0.175,0.203,0.231,0.252,0.26,0.253,0.236,0.215,0.197,0.186,0.184,0.186,0.187,0.187,0.186,0.193,0.207,0.227,0.244,0.254,0.255,0.252,0.249,0.249,0.253,0.259,0.265,0.27,0.276,0.28,0.278,0.268,0.25,0.23,0.214,0.205,0.199,0.193,0.184,0.172,0.157,0.139,0.118,0.097,0.079,0.064,0.053,0.044,0.039,0.042,0.056,0.087,0.132,0.188,0.248,0.302,0.341,0.362,0.369,0.371,0.376,0.384,0.386,0.369,0.333,0.28,0.227,0.185,0.164,0.166,0.185,0.212,0.236,0.251,0.257,0.257,0.253,0.247,0.238,0.231,0.228,0.228,0.227,0.222,0.212,0.201,0.196,0.204,0.224,0.252,0.28,0.3,0.306,0.299,0.283,0.264,0.249,0.239,0.234,0.227,0.213,0.19,0.162,0.139,0.128,0.133,0.152,0.178,0.207,0.232,0.252,0.261,0.257,0.241,0.221,0.205,0.201,0.208,0.217,0.223,0.226,0.234,0.255,0.289,0.325,0.353,0.37,0.381,0.396,0.421,0.454,0.485,0.498,0.485,0.445,0.387,0.319,0.255,0.205,0.174,0.163,0.166,0.175,0.185,0.19,0.19,0.189,0.189,0.193,0.2,0.205,0.201,0.185,0.16,0.132,0.113,0.106,0.114,0.134,0.159,0.185,0.206,0.222,0.234,0.245,0.255,0.263,0.265,0.258,0.242,0.225,0.212,0.207,0.208,0.213,0.218,0.22,0.216,0.204,0.19,0.179,0.176,0.174,0.166,0.148,0.121,0.093,0.07,0.056,0.047,0.041,0.036,0.03,0.026,0.023,0.02,0.017,0.014,0.012,0.013,0.019,0.03,0.049,0.075,0.107,0.142,0.178,0.21,0.237,0.261,0.287,0.316,0.345,0.367,0.377,0.372,0.354,0.326,0.289,0.247,0.206,0.173,0.157,0.165,0.195,0.24,0.287,0.325,0.347,0.352,0.347,0.338,0.328,0.314,0.294,0.269,0.246,0.233,0.235,0.247,0.264,0.284,0.303,0.322,0.339,0.35,0.351,0.342,0.328,0.312,0.295,0.274,0.251,0.23,0.217,0.21,0.21,0.215,0.226,0.242,0.257,0.266,0.265,0.257,0.246,0.235,0.223,0.209,0.193,0.179,0.169,0.166,0.176,0.202,0.243,0.292,0.339,0.374,0.392,0.399,0.404,0.414,0.427,0.434,0.425,0.397,0.356,0.313,0.279,0.259,0.252,0.258,0.27,0.283,0.292,0.293,0.289,0.284,0.279,0.275,0.272,0.269,0.264,0.253,0.235,0.213,0.197,0.195,0.21,0.235,0.258,0.27,0.273,0.273,0.276,0.283,0.293,0.3,0.299,0.291,0.273,0.246,0.212,0.179,0.157,0.154,0.168,0.19,0.21,0.218,0.214,0.203,0.185,0.163,0.137,0.109,0.084,0.065,0.051,0.042,0.036,0.035,0.042,0.064,0.106,0.17,0.252,0.337,0.41,0.459,0.482,0.486,0.48,0.468,0.453,0.435,0.414,0.393,0.374,0.355,0.335,0.32,0.315,0.322,0.335,0.346,0.354,0.362,0.374,0.391,0.406,0.409,0.395,0.367,0.335,0.309,0.291,0.278,0.269,0.262,0.257,0.255,0.257,0.262,0.271,0.281,0.293,0.307,0.326,0.349,0.37,0.38,0.373,0.347,0.308,0.266,0.238,0.239,0.272,0.324,0.376,0.416,0.446,0.474,0.504,0.532,0.552,0.555,0.53,0.471,0.389,0.305,0.241,0.205,0.197,0.208,0.233,0.264,0.299,0.332,0.361,0.378,0.385,0.386,0.384,0.381,0.375,0.366,0.354,0.335,0.311,0.291,0.283,0.288,0.3,0.318,0.342,0.376,0.411,0.436,0.444,0.434,0.416,0.392,0.364,0.327,0.28,0.231,0.192,0.174,0.181,0.213,0.259,0.303,0.333,0.346,0.353,0.364,0.385,0.409,0.426,0.435,0.446,0.462,0.48,0.494,0.497,0.485,0.46,0.425,0.388,0.356,0.329,0.303,0.276,0.246,0.215,0.183,0.153,0.123,0.098,0.077,0.062,0.052,0.044,0.037,0.031,0.027,0.024,0.021,0.019,0.018,0.016,0.015,0.015,0.019,0.03,0.049,0.077,0.115,0.158,0.202,0.242,0.278,0.308,0.332,0.352,0.366,0.376,0.382,0.384,0.383,0.377,0.368,0.357,0.347,0.34,0.337,0.342,0.354,0.369,0.379,0.38,0.374,0.372,0.381,0.398,0.413,0.417,0.406,0.381,0.348,0.315,0.295,0.295,0.313,0.342,0.371,0.398,0.421,0.443,0.466,0.491,0.512,0.517,0.499,0.462,0.42,0.383,0.356,0.34,0.338,0.349,0.367,0.385,0.397,0.407,0.416,0.421,0.416,0.399,0.372,0.342,0.31,0.276,0.242,0.218,0.215,0.238,0.284,0.342,0.4,0.448,0.485,0.512,0.532,0.542,0.546,0.546,0.542,0.531,0.508,0.473,0.436,0.403,0.382,0.373,0.372,0.374,0.373,0.369,0.366,0.367,0.372,0.372,0.366,0.351,0.334,0.321,0.313,0.307,0.299,0.291,0.296,0.325,0.373,0.418,0.44,0.44,0.437,0.446,0.463,0.472,0.461,0.436,0.409,0.388,0.37,0.346,0.315,0.286,0.268,0.263,0.265,0.265,0.256,0.236,0.206,0.169,0.128,0.092,0.065,0.049,0.041,0.038,0.036,0.035,0.039,0.054,0.09,0.153,0.24,0.337,0.43,0.509,0.568,0.608,0.627,0.627,0.612,0.593,0.575,0.555,0.525,0.478,0.417,0.354,0.307,0.285,0.29,0.311,0.337,0.361,0.386,0.42,0.47,0.531,0.585,0.615,0.611,0.572,0.505,0.421,0.343,0.29,0.275,0.291,0.324,0.358,0.381,0.396,0.406,0.416,0.43,0.45,0.477,0.507,0.529,0.532,0.519,0.499,0.48,0.457,0.427,0.4,0.387,0.393,0.41,0.423,0.429,0.431,0.435,0.438,0.436,0.426,0.412,0.396,0.381,0.367,0.356,0.348,0.339,0.326,0.307,0.286,0.273,0.272,0.282,0.301,0.321,0.337,0.349,0.356,0.358,0.355,0.346,0.337,0.335,0.341,0.347,0.343,0.322,0.286,0.247,0.215,0.198,0.195,0.203,0.215,0.222,0.22,0.211,0.201,0.193,0.188,0.183,0.177,0.171,0.167,0.165,0.164,0.164,0.165,0.165,0.167,0.173,0.184,0.199,0.217,0.233,0.245,0.255,0.263,0.27,0.273,0.272,0.268,0.265,0.264,0.265,0.268,0.269,0.267,0.265,0.263,0.261,0.255,0.243,0.231,0.223,0.224,0.231,0.237,0.24,0.24,0.241,0.243,0.241,0.235,0.224,0.211,0.195,0.178,0.162,0.147,0.132,0.115,0.097,0.078,0.06,0.044,0.031,0.021,0.014,0.01,0.007,0.006,0.004,0.003,0.003,0.003,0.004,0.006,0.007,0.008,0.008,0.006,0.005,0.005,0.006,0.009,0.014,0.02,0.027,0.033,0.038,0.043,0.05,0.061,0.077,0.1,0.131,0.17,0.215,0.257,0.286,0.295,0.29,0.282,0.284,0.298,0.319,0.334,0.33,0.308,0.277,0.252,0.245,0.26,0.293,0.336,0.377,0.412,0.434,0.451,0.466,0.486,0.498,0.493,0.46,0.414,0.371,0.344,0.319,0.287,0.247,0.213,0.193,0.188,0.191,0.198,0.212,0.235,0.264,0.291,0.311,0.321,0.324,0.322,0.32,0.321,0.325,0.327,0.319,0.299,0.269,0.242,0.231,0.24,0.262,0.282,0.288,0.283,0.275,0.272,0.28,0.297,0.316,0.333,0.343,0.345,0.338,0.322,0.303,0.288,0.282,0.285,0.294,0.306,0.319,0.333,0.344,0.35,0.349,0.339,0.323,0.302,0.28,0.26,0.247,0.241,0.244,0.256,0.275,0.298,0.322,0.344,0.363,0.38,0.394,0.404,0.408,0.402,0.386,0.357,0.317,0.272,0.23,0.2,0.185,0.183,0.189,0.197,0.201,0.2,0.194,0.189,0.189,0.195,0.202,0.206,0.206,0.204,0.203,0.201,0.195,0.188,0.182,0.181,0.184,0.188,0.187,0.181,0.168,0.148,0.124,0.099,0.075,0.056,0.042,0.034,0.029,0.027,0.026,0.03,0.045,0.073,0.114,0.162,0.206,0.241,0.262,0.271,0.27,0.265,0.261,0.261,0.264,0.264,0.256,0.239,0.219,0.204,0.198,0.201,0.208,0.219,0.232,0.245,0.252,0.255,0.255,0.258,0.265,0.276,0.284,0.284,0.274,0.254,0.228,0.204,0.189,0.189,0.201,0.221,0.238,0.248,0.249,0.242,0.233,0.227,0.227,0.232,0.239,0.243,0.241,0.232,0.218,0.203,0.191,0.184,0.188,0.201,0.222,0.244,0.26,0.267,0.267,0.265,0.26,0.25,0.238,0.229,0.228,0.234,0.246,0.258,0.271,0.286,0.307,0.333,0.359,0.379,0.392,0.402,0.415,0.43,0.443,0.443,0.43,0.405,0.375,0.343,0.311,0.281,0.257,0.248,0.254,0.271,0.292,0.311,0.324,0.326,0.315,0.289,0.258,0.231,0.217,0.213,0.211,0.202,0.186,0.17,0.166,0.177,0.2,0.227,0.25,0.267,0.275,0.273,0.265,0.258,0.259,0.268,0.28,0.285,0.282,0.271,0.258,0.246,0.238,0.232,0.228,0.226,0.224,0.22,0.214,0.203,0.187,0.166,0.143,0.12,0.099,0.08,0.063,0.048,0.037,0.029,0.025,0.021,0.018,0.015,0.012,0.011,0.012,0.017,0.028,0.046,0.071,0.102,0.139,0.182,0.229,0.276,0.318,0.351,0.382,0.413,0.443,0.46,0.459,0.445,0.436,0.438,0.449,0.455,0.447,0.428,0.405,0.388,0.38,0.38,0.387,0.398,0.412,0.428,0.442,0.454,0.468,0.489,0.51,0.519,0.506,0.469,0.423,0.383,0.364,0.377,0.42,0.48,0.539,0.578,0.587,0.567,0.525,0.474,0.422,0.376,0.333,0.291,0.25,0.216,0.2,0.214,0.264,0.351,0.461,0.567,0.638,0.66,0.638,0.601,0.572,0.561,0.561,0.562,0.555,0.536,0.5,0.454,0.406,0.371,0.354,0.355,0.366,0.381,0.393,0.395,0.388,0.372,0.352,0.326,0.295,0.26,0.229,0.209,0.205,0.217,0.24,0.266,0.29,0.304,0.306,0.302,0.295,0.293,0.29,0.283,0.266,0.239,0.207,0.178,0.159,0.153,0.158,0.172,0.192,0.213,0.234,0.252,0.266,0.276,0.281,0.281,0.277,0.267,0.252,0.231,0.209,0.188,0.172,0.162,0.16,0.164,0.169,0.17,0.165,0.154,0.139,0.122,0.104,0.085,0.067,0.052,0.041,0.032,0.026,0.023,0.024,0.034,0.06,0.109,0.175,0.249,0.317,0.37,0.405,0.423,0.433,0.441,0.449,0.453,0.448,0.433,0.414,0.398,0.387,0.375,0.355,0.327,0.3,0.281,0.274,0.274,0.274,0.269,0.262,0.253,0.245,0.233,0.219,0.203,0.188,0.175,0.164,0.16,0.165,0.18,0.201,0.223,0.243,0.258,0.27,0.277,0.28,0.282,0.285,0.292,0.305,0.319,0.33,0.334,0.336,0.343,0.356,0.371,0.376,0.366,0.347,0.33,0.322,0.324,0.329,0.334,0.331,0.318,0.29,0.25,0.204,0.163,0.134,0.121,0.119,0.124,0.135,0.15,0.166,0.18,0.192,0.2,0.205,0.203,0.198,0.191,0.191,0.198,0.209,0.218,0.22,0.222,0.231,0.25,0.272,0.287,0.289,0.281,0.27,0.263,0.258,0.25,0.235,0.211,0.181,0.152,0.13,0.116,0.113,0.119,0.136,0.161,0.192,0.222,0.247,0.261,0.261,0.252,0.247,0.252,0.266,0.275,0.271,0.255,0.236,0.222,0.214,0.211,0.208,0.206,0.2,0.192,0.18,0.169,0.16,0.151,0.141,0.128,0.112,0.095,0.077,0.062,0.049,0.039,0.031,0.024,0.019,0.014,0.011,0.008,0.007,0.005,0.005,0.007,0.011,0.021,0.036,0.058,0.086,0.119,0.155,0.19,0.221,0.248,0.269,0.284,0.293,0.299,0.304,0.31,0.314,0.313,0.303,0.286,0.267,0.254,0.254,0.27,0.297,0.326,0.35,0.368,0.386,0.403,0.415,0.419,0.418,0.417,0.414,0.401,0.371,0.326,0.278,0.241,0.224,0.229,0.251,0.283,0.315,0.343,0.362,0.373,0.379,0.387,0.402,0.426,0.453,0.474,0.478,0.46,0.427,0.386,0.351,0.329,0.322,0.327,0.338,0.348,0.354,0.352,0.347,0.341,0.337,0.334,0.33,0.323,0.314,0.306,0.303,0.309,0.326,0.353,0.38,0.4,0.41,0.415,0.419,0.425,0.435,0.448,0.462,0.474,0.479,0.472,0.453,0.424,0.392,0.363,0.34,0.326,0.319,0.318,0.323,0.329,0.329,0.322,0.309,0.293,0.274,0.254,0.235,0.221,0.216,0.215,0.212,0.207,0.205,0.215,0.237,0.266,0.296,0.321,0.34,0.348,0.348,0.341,0.334,0.328,0.326,0.324,0.319,0.308,0.295,0.284,0.284,0.297,0.318,0.337,0.344,0.332,0.303,0.263,0.218,0.177,0.144,0.119,0.102,0.088,0.074,0.062,0.053,0.05,0.058,0.079,0.113,0.161,0.222,0.291,0.356,0.411,0.452,0.487,0.522,0.562,0.602,0.64,0.664,0.662,0.622,0.552,0.474,0.421,0.411,0.433,0.459,0.465,0.458,0.462,0.496,0.549,0.591,0.603,0.586,0.558,0.527,0.498,0.467,0.44,0.418,0.402,0.387,0.371,0.355,0.345,0.342,0.345,0.348,0.349,0.347,0.34,0.325,0.296,0.257,0.217,0.197,0.205,0.243,0.295,0.345,0.384,0.416,0.449,0.489,0.527,0.56,0.579,0.576,0.536,0.454,0.345,0.243,0.178,0.159,0.175,0.209,0.254,0.307,0.369,0.434,0.493,0.542,0.581,0.61,0.628,0.631,0.622,0.601,0.572,0.534,0.494,0.463,0.449,0.453,0.466,0.479,0.485,0.485,0.48,0.469,0.456,0.443,0.436,0.434,0.429,0.413,0.384,0.351,0.322,0.305,0.299,0.302,0.306,0.308,0.31,0.316,0.33,0.348,0.357,0.35,0.326,0.296,0.277,0.279,0.303,0.339,0.373,0.394,0.398,0.387,0.365,0.34,0.315,0.291,0.267,0.245,0.224,0.203,0.178,0.148,0.116,0.088,0.068,0.056,0.046,0.038,0.03,0.024,0.02,0.017,0.015,0.014,0.015,0.018,0.026,0.037,0.052,0.07,0.094,0.125,0.165,0.211,0.257,0.297,0.327,0.342,0.342,0.333,0.325,0.328,0.342,0.358,0.362,0.349,0.323,0.295,0.277,0.274,0.282,0.296,0.312,0.328,0.341,0.346,0.343,0.33,0.308,0.278,0.243,0.21,0.189,0.187,0.207,0.244,0.285,0.32,0.345,0.361,0.378,0.401,0.431,0.465,0.494,0.512,0.515,0.497,0.455,0.392,0.32,0.256,0.216,0.204,0.215,0.232,0.244,0.242,0.226,0.2,0.173,0.15,0.134,0.123,0.115,0.106,0.095,0.083,0.074,0.073,0.086,0.116,0.159,0.205,0.247,0.285,0.324,0.363,0.4,0.423,0.427,0.417,0.412,0.43,0.477,0.532,0.567,0.563,0.524,0.471,0.42,0.378,0.345,0.322,0.312,0.312,0.315,0.31,0.291,0.258,0.222,0.188,0.16,0.139,0.128,0.135,0.167,0.22,0.279,0.328,0.357,0.364,0.352,0.329,0.305,0.287,0.277,0.269,0.254,0.23,0.197,0.166,0.148,0.15,0.17,0.2,0.229,0.25,0.259,0.256,0.238,0.208,0.171,0.134,0.104,0.082,0.066,0.054,0.044,0.037,0.032,0.031,0.038,0.06,0.1,0.158,0.225,0.29,0.345,0.385,0.415,0.441,0.468,0.497,0.52,0.532,0.532,0.525,0.521,0.524,0.528,0.521,0.498,0.468,0.449,0.452,0.473,0.501,0.521,0.526,0.516,0.499,0.486,0.483,0.49,0.495,0.485,0.454,0.404,0.345,0.296,0.275,0.292,0.346,0.415,0.472,0.497,0.492,0.478,0.468,0.461,0.451,0.435,0.42,0.412,0.409,0.401,0.381,0.346,0.301,0.255,0.223,0.219,0.245,0.294,0.349,0.396,0.425,0.43,0.415,0.393,0.377,0.374,0.381,0.392,0.398,0.396,0.386,0.37,0.347,0.32,0.293,0.272,0.261,0.26,0.268,0.279,0.291,0.3,0.303,0.294,0.279,0.263,0.253,0.251,0.256,0.265,0.276,0.285,0.288,0.286,0.281,0.276,0.272,0.272,0.276,0.28,0.28,0.277,0.274,0.27,0.269,0.269,0.269,0.268,0.261,0.248,0.227,0.204,0.182,0.166,0.155,0.148,0.146,0.15,0.161,0.176,0.193,0.207,0.215,0.217,0.218,0.222,0.23,0.237,0.24,0.239,0.239,0.241,0.243,0.243,0.242,0.244,0.253,0.265,0.275,0.28,0.281,0.277,0.269,0.254,0.233,0.212,0.197,0.19,0.187,0.186,0.186,0.187,0.189,0.188,0.182,0.173,0.163,0.156,0.15,0.147,0.143,0.136,0.123,0.104,0.083,0.066,0.055,0.05,0.046,0.042,0.037,0.033,0.029,0.026,0.024,0.022,0.019,0.017,0.015,0.014,0.014,0.016,0.018,0.023,0.031,0.043,0.057,0.069,0.076,0.076,0.07,0.061,0.052,0.046,0.041,0.038,0.035,0.033,0.031,0.03,0.029,0.028,0.027]