[0.055,0.06,0.069,0.074,0.07,0.06,0.049,0.044,0.046,0.053,0.061,0.064,0.062,0.057,0.054,0.055,0.059,0.064,0.07,0.075,0.076,0.074,0.068,0.061,0.057,0.06,0.07,0.087,0.102,0.109,0.105,0.093,0.079,0.068,0.063,0.063,0.068,0.075,0.08,0.083,0.082,0.08,0.08,0.084,0.089,0.094,0.093,0.087,0.075,0.062,0.052,0.046,0.044,0.044,0.046,0.05,0.057,0.066,0.073,0.077,0.08,0.083,0.09,0.103,0.119,0.136,0.148,0.155,0.154,0.148,0.142,0.139,0.138,0.138,0.136,0.13,0.122,0.114,0.107,0.103,0.103,0.104,0.101,0.092,0.077,0.065,0.059,0.062,0.073,0.088,0.102,0.112,0.116,0.114,0.106,0.095,0.084,0.077,0.074,0.075,0.077,0.077,0.074,0.07,0.064,0.059,0.056,0.056,0.062,0.07,0.077,0.08,0.079,0.075,0.07,0.065,0.061,0.057,0.052,0.047,0.042,0.038,0.034,0.032,0.031,0.029,0.027,0.024,0.022,0.02,0.02,0.021,0.03,0.054,0.097,0.156,0.218,0.27,0.301,0.312,0.314,0.322,0.344,0.375,0.395,0.38,0.329,0.264,0.215,0.195,0.197,0.208,0.22,0.23,0.235,0.227,0.207,0.183,0.168,0.167,0.181,0.206,0.233,0.248,0.239,0.204,0.158,0.116,0.091,0.085,0.094,0.107,0.113,0.106,0.088,0.068,0.055,0.054,0.07,0.101,0.141,0.172,0.18,0.161,0.127,0.095,0.077,0.075,0.086,0.103,0.12,0.137,0.155,0.179,0.204,0.225,0.24,0.252,0.263,0.269,0.265,0.25,0.234,0.226,0.235,0.259,0.291,0.324,0.349,0.359,0.352,0.331,0.304,0.282,0.281,0.306,0.346,0.38,0.393,0.382,0.358,0.335,0.315,0.297,0.277,0.254,0.227,0.198,0.171,0.148,0.131,0.129,0.147,0.186,0.23,0.255,0.246,0.207,0.157,0.117,0.095,0.093,0.104,0.118,0.124,0.115,0.095,0.073,0.057,0.053,0.065,0.095,0.14,0.188,0.222,0.237,0.234,0.224,0.22,0.232,0.259,0.293,0.317,0.319,0.295,0.253,0.206,0.166,0.142,0.137,0.142,0.144,0.134,0.111,0.082,0.056,0.039,0.037,0.05,0.075,0.11,0.15,0.194,0.241,0.286,0.329,0.37,0.407,0.428,0.421,0.384,0.332,0.287,0.268,0.275,0.299,0.328,0.352,0.369,0.376,0.375,0.366,0.352,0.335,0.319,0.31,0.312,0.324,0.333,0.328,0.303,0.259,0.208,0.16,0.13,0.119,0.121,0.122,0.113,0.094,0.075,0.066,0.076,0.11,0.163,0.223,0.271,0.295,0.294,0.281,0.268,0.261,0.261,0.266,0.271,0.27,0.259,0.241,0.218,0.191,0.161,0.127,0.092,0.062,0.041,0.029,0.024,0.022,0.025,0.031,0.046,0.068,0.093,0.113,0.127,0.143,0.172,0.217,0.269,0.318,0.356,0.378,0.378,0.355,0.315,0.272,0.24,0.227,0.234,0.253,0.271,0.275,0.262,0.236,0.201,0.163,0.128,0.11,0.118,0.146,0.174,0.182,0.164,0.131,0.1,0.083,0.083,0.096,0.115,0.132,0.147,0.163,0.184,0.208,0.229,0.248,0.269,0.297,0.325,0.341,0.335,0.307,0.267,0.229,0.205,0.203,0.216,0.225,0.216,0.185,0.145,0.109,0.085,0.073,0.075,0.09,0.111,0.127,0.131,0.12,0.105,0.097,0.107,0.136,0.177,0.215,0.235,0.229,0.201,0.164,0.134,0.124,0.142,0.188,0.244,0.284,0.292,0.268,0.228,0.19,0.167,0.157,0.157,0.159,0.161,0.172,0.198,0.237,0.272,0.291,0.287,0.268,0.243,0.223,0.214,0.219,0.235,0.255,0.271,0.281,0.291,0.301,0.307,0.303,0.284,0.254,0.223,0.203,0.207,0.234,0.268,0.287,0.28,0.25,0.211,0.179,0.162,0.158,0.162,0.159,0.145,0.119,0.092,0.072,0.063,0.059,0.056,0.051,0.046,0.043,0.045,0.054,0.07,0.093,0.123,0.159,0.2,0.238,0.261,0.259,0.234,0.199,0.17,0.158,0.169,0.2,0.236,0.255,0.245,0.211,0.169,0.136,0.121,0.122,0.133,0.146,0.157,0.172,0.199,0.239,0.279,0.303,0.304,0.286,0.262,0.241,0.226,0.221,0.223,0.229,0.239,0.248,0.252,0.249,0.235,0.212,0.188,0.167,0.154,0.152,0.165,0.195,0.233,0.26,0.264,0.245,0.215,0.187,0.17,0.163,0.162,0.161,0.151,0.132,0.108,0.089,0.081,0.081,0.085,0.087,0.085,0.081,0.078,0.076,0.076,0.083,0.103,0.143,0.199,0.259,0.304,0.324,0.322,0.315,0.319,0.339,0.373,0.407,0.424,0.41,0.366,0.303,0.242,0.196,0.172,0.175,0.202,0.247,0.294,0.33,0.351,0.357,0.354,0.345,0.34,0.343,0.354,0.364,0.368,0.367,0.365,0.36,0.344,0.318,0.291,0.273,0.265,0.261,0.254,0.245,0.24,0.244,0.261,0.292,0.329,0.356,0.36,0.337,0.298,0.259,0.232,0.22,0.219,0.219,0.211,0.191,0.164,0.139,0.122,0.112,0.105,0.096,0.086,0.076,0.069,0.065,0.062,0.06,0.061,0.073,0.098,0.135,0.174,0.21,0.242,0.276,0.31,0.337,0.353,0.364,0.374,0.378,0.363,0.322,0.27,0.228,0.214,0.227,0.254,0.279,0.287,0.272,0.242,0.216,0.212,0.236,0.282,0.33,0.363,0.369,0.355,0.336,0.325,0.315,0.296,0.264,0.231,0.208,0.202,0.212,0.237,0.27,0.297,0.307,0.304,0.302,0.316,0.336,0.349,0.341,0.315,0.287,0.274,0.279,0.288,0.282,0.249,0.195,0.138,0.096,0.074,0.068,0.069,0.071,0.075,0.087,0.112,0.151,0.196,0.242,0.284,0.317,0.335,0.333,0.312,0.285,0.266,0.261,0.265,0.274,0.292,0.321,0.352,0.365,0.345,0.296,0.237,0.188,0.157,0.148,0.155,0.174,0.198,0.225,0.253,0.277,0.298,0.319,0.348,0.379,0.402,0.405,0.39,0.371,0.362,0.362,0.359,0.348,0.329,0.314,0.303,0.292,0.271,0.243,0.214,0.192,0.189,0.213,0.258,0.307,0.341,0.35,0.338,0.317,0.291,0.273,0.27,0.286,0.312,0.331,0.333,0.325,0.316,0.312,0.309,0.303,0.291,0.275,0.26,0.248,0.242,0.245,0.262,0.289,0.313,0.319,0.301,0.267,0.232,0.206,0.195,0.201,0.228,0.268,0.311,0.335,0.327,0.29,0.239,0.193,0.165,0.156,0.164,0.183,0.208,0.237,0.27,0.301,0.326,0.345,0.366,0.389,0.408,0.412,0.4,0.381,0.365,0.353,0.336,0.312,0.286,0.265,0.245,0.221,0.19,0.159,0.139,0.136,0.152,0.185,0.228,0.265,0.279,0.266,0.233,0.198,0.174,0.164,0.166,0.176,0.186,0.195,0.204,0.214,0.221,0.219,0.203,0.177,0.151,0.135,0.134,0.144,0.154,0.157,0.154,0.153,0.162,0.18,0.194,0.196,0.185,0.172,0.165,0.168,0.184,0.217,0.265,0.308,0.329,0.319,0.286,0.248,0.216,0.196,0.188,0.188,0.194,0.211,0.242,0.287,0.327,0.34,0.32,0.283,0.252,0.242,0.251,0.262,0.263,0.25,0.231,0.215,0.208,0.206,0.198,0.184,0.173,0.178,0.2,0.232,0.265,0.296,0.322,0.335,0.326,0.293,0.25,0.214,0.196,0.198,0.21,0.222,0.223,0.213,0.199,0.192,0.193,0.197,0.197,0.188,0.173,0.157,0.144,0.133,0.119,0.104,0.094,0.094,0.107,0.125,0.134,0.13,0.116,0.101,0.097,0.108,0.139,0.187,0.242,0.284,0.299,0.291,0.278,0.275,0.283,0.294,0.302,0.309,0.312,0.31,0.298,0.277,0.254,0.241,0.247,0.273,0.305,0.324,0.323,0.311,0.307,0.318,0.336,0.349,0.354,0.349,0.33,0.3,0.266,0.245,0.247,0.27,0.304,0.338,0.359,0.353,0.313,0.247,0.177,0.121,0.086,0.068,0.059,0.054,0.053,0.06,0.078,0.108,0.149,0.195,0.244,0.287,0.318,0.33,0.323,0.302,0.277,0.259,0.255,0.259,0.26,0.253,0.243,0.24,0.248,0.258,0.256,0.242,0.236,0.258,0.312,0.374,0.412,0.407,0.371,0.323,0.282,0.257,0.247,0.25,0.261,0.282,0.317,0.361,0.403,0.428,0.43,0.416,0.397,0.38,0.367,0.36,0.358,0.361,0.365,0.369,0.37,0.369,0.365,0.356,0.344,0.329,0.316,0.31,0.319,0.343,0.374,0.394,0.391,0.364,0.325,0.289,0.264,0.252,0.249,0.247,0.235,0.212,0.18,0.152,0.134,0.127,0.124,0.125,0.131,0.153,0.193,0.246,0.297,0.332,0.351,0.362,0.365,0.354,0.321,0.273,0.233,0.219,0.236,0.27,0.31,0.35,0.392,0.43,0.449,0.441,0.411,0.377,0.354,0.348,0.355,0.367,0.373,0.374,0.376,0.388,0.407,0.425,0.43,0.422,0.409,0.394,0.381,0.371,0.367,0.369,0.376,0.385,0.393,0.398,0.396,0.388,0.373,0.354,0.337,0.327,0.331,0.353,0.388,0.416,0.42,0.394,0.348,0.301,0.266,0.249,0.245,0.244,0.234,0.212,0.183,0.157,0.143,0.143,0.156,0.18,0.21,0.238,0.257,0.263,0.26,0.255,0.255,0.264,0.279,0.29,0.285,0.262,0.23,0.204,0.196,0.203,0.224,0.258,0.304,0.349,0.375,0.37,0.341,0.308,0.285,0.279,0.289,0.307,0.323,0.328,0.325,0.325,0.342,0.383,0.443,0.506,0.549,0.555,0.53,0.496,0.475,0.473,0.473,0.462,0.435,0.404,0.372,0.342,0.313,0.288,0.272,0.269,0.283,0.317,0.363,0.4,0.41,0.388,0.348,0.307,0.279,0.267,0.268,0.273,0.271,0.257,0.23,0.197,0.166,0.143,0.124,0.108,0.094,0.084,0.079,0.077,0.076,0.073,0.073,0.081,0.101,0.133,0.167,0.197,0.221,0.24,0.256,0.275,0.304,0.347,0.399,0.442,0.459,0.447,0.415,0.381,0.359,0.351,0.353,0.359,0.362,0.362,0.36,0.362,0.376,0.406,0.451,0.5,0.534,0.542,0.526,0.505,0.492,0.487,0.479,0.459,0.429,0.398,0.37,0.347,0.326,0.312,0.306,0.31,0.33,0.365,0.409,0.444,0.454,0.432,0.391,0.345,0.308,0.286,0.277,0.272,0.26,0.236,0.202,0.168,0.144,0.134,0.136,0.147,0.161,0.167,0.159,0.137,0.11,0.086,0.075,0.081,0.104,0.138,0.174,0.209,0.244,0.285,0.329,0.372,0.409,0.443,0.472,0.492,0.493,0.476,0.45,0.431,0.428,0.437,0.446,0.446,0.437,0.432,0.442,0.468,0.494,0.505,0.493,0.463,0.43,0.404,0.393,0.398,0.415,0.438,0.453,0.458,0.45,0.433,0.41,0.384,0.361,0.344,0.334,0.33,0.335,0.355,0.39,0.423,0.434,0.412,0.369,0.322,0.288,0.273,0.27,0.271,0.262,0.242,0.217,0.2,0.202,0.223,0.261,0.31,0.364,0.409,0.437,0.447,0.445,0.434,0.413,0.381,0.343,0.311,0.285,0.26,0.231,0.206,0.193,0.2,0.231,0.287,0.36,0.428,0.466,0.466,0.438,0.405,0.384,0.379,0.384,0.392,0.398,0.405,0.419,0.442,0.463,0.469,0.455,0.425,0.395,0.373,0.367,0.375,0.394,0.41,0.411,0.395,0.371,0.35,0.331,0.311,0.289,0.269,0.257,0.257,0.274,0.309,0.355,0.394,0.41,0.395,0.361,0.326,0.299,0.286,0.28,0.275,0.261,0.236,0.205,0.179,0.164,0.161,0.164,0.164,0.16,0.151,0.141,0.132,0.124,0.117,0.117,0.131,0.163,0.209,0.252,0.277,0.277,0.263,0.249,0.254,0.285,0.337,0.391,0.417,0.399,0.339,0.261,0.187,0.134,0.104,0.094,0.097,0.108,0.13,0.165,0.211,0.26,0.304,0.342,0.378,0.41,0.43,0.432,0.424,0.42,0.424,0.428,0.419,0.393,0.352,0.302,0.25,0.205,0.179,0.182,0.214,0.267,0.33,0.384,0.41,0.4,0.361,0.314,0.273,0.241,0.211,0.179,0.147,0.12,0.103,0.094,0.094,0.099,0.106,0.111,0.113,0.11,0.1,0.087,0.073,0.06,0.049,0.041,0.037,0.037,0.039,0.039,0.036,0.03,0.027,0.03,0.049,0.095,0.173,0.27,0.35,0.383,0.362,0.309,0.257,0.225,0.212,0.207,0.2,0.186,0.17,0.152,0.137,0.132,0.146,0.189,0.256,0.326,0.367,0.37,0.349,0.333,0.329,0.318,0.278,0.213,0.153,0.126,0.139,0.18,0.223,0.25,0.259,0.264,0.284,0.321,0.353,0.352,0.311,0.246,0.181,0.131,0.099,0.081,0.072,0.067,0.062,0.056,0.051,0.047,0.043,0.041,0.04,0.046,0.064,0.096,0.138,0.176,0.198,0.2,0.185,0.162,0.139,0.116,0.096,0.082,0.073,0.073,0.082,0.112,0.17,0.248,0.311,0.325,0.282,0.208,0.137,0.093,0.074,0.07,0.071,0.07,0.065,0.058,0.052,0.052,0.069,0.114,0.193,0.291,0.379,0.433,0.45,0.443,0.423,0.389,0.341,0.286,0.241,0.211,0.194,0.178,0.157,0.136,0.128,0.153,0.215,0.296,0.354,0.357,0.306,0.231,0.168,0.133,0.118,0.11,0.098,0.085,0.071,0.06,0.052,0.047,0.044,0.042,0.04,0.038,0.036,0.036,0.038,0.045,0.056,0.072,0.089,0.105,0.115,0.117,0.113,0.105,0.096,0.087,0.086,0.108,0.166,0.251,0.324,0.349,0.316,0.249,0.185,0.144,0.129,0.128,0.137,0.15,0.166,0.183,0.2,0.214,0.222,0.226,0.228,0.237,0.256,0.287,0.321,0.347,0.355,0.344,0.318,0.286,0.256,0.234,0.216,0.198,0.177,0.154,0.142,0.154,0.193,0.248,0.294,0.313,0.312,0.31,0.316,0.327,0.336,0.341,0.345,0.347,0.344,0.339,0.34,0.342,0.342,0.343,0.353,0.376,0.399,0.412,0.417,0.425,0.439,0.451,0.457,0.463,0.477,0.494,0.508,0.513,0.513,0.507,0.494,0.483,0.486,0.506,0.521,0.51,0.472,0.426,0.399,0.397,0.415,0.435,0.447,0.454,0.468,0.496,0.531,0.553,0.547,0.514,0.472,0.437,0.415,0.401,0.386,0.37,0.356,0.348,0.35,0.358,0.365,0.364,0.361,0.366,0.387,0.421,0.459,0.493,0.521,0.54,0.543,0.529,0.503,0.478,0.46,0.447,0.437,0.431,0.429,0.423,0.406,0.375,0.338,0.301,0.268,0.239,0.214,0.196,0.187,0.183,0.18,0.174,0.169,0.171,0.183,0.205,0.23,0.251,0.267,0.278,0.286,0.297,0.32,0.361,0.418,0.474,0.506,0.505,0.476,0.44,0.413,0.404,0.408,0.415,0.415,0.41,0.413,0.434,0.47,0.504,0.517,0.513,0.505,0.504,0.503,0.496,0.486,0.482,0.48,0.47,0.445,0.41,0.375,0.346,0.322,0.302,0.292,0.295,0.317,0.36,0.418,0.472,0.499,0.489,0.452,0.41,0.38,0.366,0.361,0.356,0.342,0.32,0.297,0.283,0.28,0.278,0.271,0.257,0.242,0.228,0.216,0.202,0.187,0.173,0.164,0.166,0.178,0.194,0.204,0.207,0.211,0.23,0.264,0.298,0.324,0.347,0.382,0.43,0.472,0.486,0.468,0.438,0.417,0.417,0.43,0.444,0.45,0.448,0.449,0.464,0.494,0.523,0.538,0.541,0.542,0.544,0.54,0.526,0.512,0.508,0.511,0.505,0.48,0.442,0.402,0.367,0.34,0.321,0.313,0.317,0.338,0.376,0.425,0.468,0.485,0.464,0.414,0.359,0.318,0.298,0.294,0.293,0.282,0.258,0.225,0.195,0.176,0.168,0.166,0.165,0.162,0.16,0.158,0.155,0.149,0.143,0.144,0.16,0.19,0.224,0.244,0.242,0.222,0.197,0.178,0.173,0.188,0.23,0.291,0.348,0.368,0.332,0.257,0.178,0.121,0.095,0.087,0.086,0.086,0.093,0.124,0.187,0.273,0.342,0.362,0.326,0.26,0.195,0.151,0.127,0.113,0.105,0.1,0.096,0.093,0.091,0.087,0.082,0.076,0.073,0.077,0.093,0.129,0.191,0.271,0.344,0.377,0.356,0.298,0.236,0.192,0.169,0.159,0.152,0.143,0.134,0.128,0.127,0.132,0.142,0.156,0.171,0.19,0.21,0.226,0.233,0.229,0.213,0.191,0.168,0.151,0.14,0.131,0.121,0.111,0.105,0.11,0.134,0.182,0.257,0.347,0.419,0.441,0.402,0.329,0.256,0.208,0.188,0.184,0.188,0.193,0.202,0.228,0.279,0.345,0.397,0.418,0.416,0.416,0.424,0.425,0.415,0.407,0.41,0.408,0.375,0.304,0.22,0.154,0.118,0.106,0.109,0.123,0.151,0.201,0.276,0.363,0.428,0.438,0.389,0.306,0.228,0.175,0.146,0.132,0.125,0.119,0.114,0.108,0.105,0.106,0.111,0.116,0.118,0.118,0.118,0.124,0.133,0.143,0.148,0.15,0.151,0.158,0.172,0.188,0.195,0.189,0.174,0.163,0.17,0.206,0.275,0.368,0.46,0.523,0.55,0.553,0.547,0.543,0.54,0.534,0.525,0.514,0.509,0.516,0.538,0.565,0.583,0.588,0.589,0.595,0.606,0.613,0.613,0.612,0.613,0.611,0.601,0.583,0.564,0.549,0.54,0.531,0.524,0.516,0.512,0.519,0.54,0.568,0.586,0.575,0.535,0.484,0.439,0.411,0.398,0.393,0.388,0.376,0.357,0.339,0.33,0.331,0.333,0.33,0.324,0.321,0.324,0.33,0.332,0.326,0.311,0.292,0.276,0.272,0.281,0.292,0.293,0.281,0.268,0.265,0.279,0.316,0.38,0.465,0.548,0.603,0.619,0.608,0.593,0.583,0.58,0.577,0.574,0.569,0.569,0.579,0.598,0.615,0.617,0.609,0.601,0.606,0.618,0.625,0.622,0.614,0.607,0.6,0.589,0.572,0.557,0.544,0.536,0.529,0.522,0.516,0.512,0.517,0.533,0.557,0.571,0.559,0.522,0.473,0.432,0.41,0.406,0.411,0.415,0.411,0.397,0.376,0.353,0.335,0.321,0.31,0.297,0.279,0.258,0.237,0.22,0.208,0.204,0.21,0.226,0.243,0.249,0.236,0.208,0.175,0.149,0.138,0.149,0.191,0.264,0.348,0.401,0.394,0.328,0.241,0.17,0.131,0.116,0.112,0.11,0.115,0.141,0.199,0.286,0.376,0.441,0.473,0.485,0.491,0.487,0.473,0.456,0.449,0.447,0.428,0.379,0.315,0.26,0.224,0.201,0.177,0.153,0.139,0.15,0.199,0.286,0.38,0.437,0.424,0.349,0.252,0.176,0.136,0.122,0.12,0.119,0.116,0.111,0.106,0.104,0.103,0.103,0.102,0.099,0.097,0.095,0.095,0.094,0.092,0.091,0.098,0.12,0.157,0.199,0.233,0.249,0.248,0.24,0.238,0.253,0.297,0.367,0.44,0.473,0.441,0.355,0.254,0.177,0.137,0.123,0.119,0.12,0.131,0.167,0.239,0.334,0.415,0.456,0.461,0.46,0.469,0.478,0.475,0.469,0.473,0.475,0.443,0.365,0.263,0.173,0.117,0.09,0.079,0.078,0.09,0.127,0.2,0.302,0.395,0.435,0.398,0.308,0.208,0.137,0.103,0.092,0.091,0.09,0.087,0.081,0.076,0.073,0.071,0.072,0.071,0.07,0.068,0.068,0.074,0.089,0.115,0.148,0.182,0.211,0.233,0.246,0.252,0.251,0.24,0.218,0.194,0.189,0.23,0.325,0.454,0.572,0.643,0.663,0.654,0.642,0.639,0.64,0.641,0.637,0.634,0.64,0.659,0.682,0.694,0.687,0.666,0.644,0.626,0.606,0.584,0.57,0.573,0.583,0.579,0.551,0.509,0.47,0.444,0.429,0.421,0.416,0.413,0.418,0.44,0.482,0.532,0.564,0.562,0.528,0.484,0.45,0.436,0.434,0.435,0.427,0.409,0.383,0.356,0.332,0.313,0.297,0.281,0.265,0.248,0.232,0.217,0.202,0.19,0.182,0.184,0.196,0.212,0.219,0.212,0.193,0.171,0.157,0.157,0.183,0.244,0.343,0.456,0.549,0.595,0.595,0.572,0.55,0.539,0.534,0.531,0.526,0.519,0.51,0.497,0.476,0.443,0.399,0.344,0.286,0.232,0.187,0.154,0.133,0.121,0.114,0.109,0.106,0.104,0.099,0.093,0.085,0.079,0.076,0.083,0.112,0.175,0.27,0.365,0.413,0.383,0.29,0.178,0.092,0.045,0.027,0.022,0.02,0.017,0.015,0.014,0.013,0.012]