[0.1,0.117,0.148,0.172,0.179,0.169,0.152,0.138,0.134,0.147,0.176,0.211,0.24,0.25,0.239,0.214,0.186,0.166,0.157,0.162,0.173,0.184,0.187,0.179,0.163,0.145,0.132,0.128,0.136,0.158,0.185,0.206,0.21,0.196,0.17,0.144,0.124,0.115,0.114,0.12,0.129,0.134,0.134,0.128,0.119,0.11,0.102,0.098,0.094,0.091,0.087,0.081,0.074,0.067,0.062,0.059,0.057,0.056,0.057,0.057,0.056,0.054,0.053,0.055,0.068,0.096,0.14,0.195,0.251,0.295,0.322,0.332,0.326,0.308,0.279,0.242,0.205,0.177,0.164,0.164,0.169,0.171,0.166,0.154,0.141,0.133,0.137,0.154,0.182,0.211,0.232,0.24,0.235,0.219,0.199,0.177,0.158,0.147,0.145,0.148,0.152,0.152,0.148,0.141,0.136,0.134,0.135,0.139,0.14,0.136,0.128,0.12,0.12,0.128,0.139,0.145,0.141,0.129,0.114,0.101,0.09,0.083,0.076,0.07,0.064,0.059,0.055,0.051,0.049,0.047,0.045,0.043,0.041,0.039,0.037,0.034,0.033,0.031,0.031,0.03,0.029,0.028,0.031,0.041,0.064,0.103,0.156,0.215,0.268,0.306,0.321,0.314,0.294,0.272,0.26,0.259,0.266,0.272,0.272,0.263,0.243,0.212,0.174,0.139,0.114,0.102,0.101,0.106,0.118,0.136,0.161,0.185,0.204,0.216,0.224,0.233,0.247,0.261,0.272,0.278,0.276,0.267,0.252,0.234,0.219,0.213,0.218,0.228,0.235,0.231,0.215,0.193,0.174,0.16,0.148,0.13,0.11,0.094,0.089,0.093,0.101,0.106,0.107,0.104,0.099,0.094,0.09,0.086,0.084,0.082,0.078,0.073,0.067,0.062,0.058,0.054,0.05,0.046,0.043,0.041,0.04,0.042,0.047,0.056,0.067,0.079,0.09,0.103,0.122,0.15,0.188,0.23,0.263,0.283,0.287,0.285,0.281,0.281,0.286,0.295,0.306,0.315,0.323,0.327,0.329,0.327,0.32,0.311,0.302,0.299,0.302,0.303,0.291,0.262,0.222,0.188,0.175,0.189,0.219,0.249,0.265,0.262,0.247,0.228,0.212,0.202,0.198,0.195,0.187,0.171,0.148,0.126,0.11,0.103,0.1,0.098,0.095,0.094,0.096,0.1,0.103,0.102,0.099,0.095,0.091,0.09,0.092,0.093,0.092,0.087,0.078,0.069,0.062,0.057,0.053,0.05,0.047,0.044,0.042,0.041,0.039,0.037,0.04,0.052,0.081,0.13,0.193,0.255,0.3,0.322,0.324,0.318,0.312,0.306,0.293,0.268,0.235,0.204,0.183,0.173,0.171,0.176,0.183,0.193,0.202,0.211,0.223,0.239,0.25,0.247,0.224,0.19,0.159,0.136,0.121,0.109,0.101,0.098,0.102,0.107,0.109,0.106,0.101,0.103,0.118,0.152,0.202,0.257,0.299,0.318,0.311,0.287,0.262,0.249,0.256,0.279,0.3,0.307,0.295,0.273,0.249,0.228,0.21,0.196,0.188,0.184,0.182,0.181,0.178,0.172,0.159,0.137,0.11,0.085,0.067,0.057,0.052,0.05,0.049,0.047,0.045,0.044,0.041,0.04,0.04,0.044,0.054,0.074,0.106,0.149,0.195,0.235,0.262,0.275,0.281,0.282,0.279,0.266,0.243,0.215,0.19,0.179,0.183,0.199,0.218,0.234,0.241,0.237,0.225,0.214,0.208,0.209,0.207,0.198,0.181,0.162,0.148,0.14,0.137,0.136,0.134,0.133,0.131,0.129,0.126,0.12,0.112,0.103,0.093,0.085,0.082,0.086,0.092,0.095,0.095,0.092,0.093,0.098,0.103,0.102,0.096,0.086,0.078,0.075,0.081,0.1,0.127,0.15,0.159,0.151,0.131,0.109,0.092,0.081,0.074,0.067,0.061,0.054,0.048,0.041,0.038,0.04,0.05,0.074,0.116,0.177,0.25,0.319,0.371,0.399,0.405,0.397,0.384,0.373,0.367,0.365,0.358,0.338,0.302,0.257,0.216,0.184,0.162,0.147,0.136,0.13,0.129,0.13,0.133,0.137,0.147,0.162,0.183,0.206,0.234,0.269,0.307,0.337,0.348,0.337,0.311,0.282,0.253,0.229,0.21,0.195,0.184,0.172,0.157,0.139,0.124,0.118,0.123,0.135,0.153,0.173,0.195,0.212,0.217,0.204,0.177,0.148,0.124,0.106,0.095,0.087,0.083,0.081,0.081,0.081,0.082,0.083,0.084,0.082,0.08,0.076,0.073,0.07,0.071,0.08,0.103,0.141,0.18,0.21,0.227,0.246,0.278,0.315,0.335,0.324,0.292,0.262,0.251,0.258,0.273,0.285,0.289,0.281,0.259,0.227,0.193,0.166,0.15,0.149,0.165,0.205,0.268,0.342,0.404,0.435,0.431,0.401,0.366,0.345,0.349,0.37,0.389,0.383,0.347,0.295,0.252,0.234,0.242,0.26,0.272,0.272,0.259,0.235,0.204,0.169,0.137,0.116,0.11,0.118,0.138,0.165,0.195,0.22,0.229,0.219,0.192,0.16,0.133,0.117,0.11,0.109,0.109,0.108,0.106,0.104,0.105,0.108,0.111,0.112,0.109,0.103,0.095,0.088,0.082,0.078,0.076,0.079,0.088,0.105,0.133,0.168,0.204,0.236,0.263,0.287,0.313,0.342,0.37,0.395,0.418,0.441,0.461,0.472,0.47,0.455,0.432,0.401,0.359,0.313,0.272,0.248,0.242,0.248,0.263,0.284,0.304,0.316,0.319,0.319,0.332,0.358,0.384,0.393,0.379,0.351,0.321,0.296,0.276,0.26,0.252,0.254,0.263,0.268,0.26,0.244,0.236,0.249,0.279,0.307,0.32,0.319,0.315,0.312,0.304,0.283,0.252,0.221,0.198,0.188,0.191,0.201,0.215,0.225,0.236,0.254,0.286,0.325,0.357,0.369,0.36,0.343,0.325,0.311,0.297,0.281,0.266,0.256,0.259,0.279,0.314,0.352,0.381,0.393,0.387,0.372,0.359,0.357,0.37,0.395,0.425,0.448,0.454,0.435,0.395,0.346,0.302,0.267,0.241,0.222,0.213,0.214,0.224,0.239,0.258,0.283,0.314,0.349,0.385,0.426,0.468,0.504,0.522,0.516,0.491,0.46,0.432,0.408,0.391,0.379,0.369,0.356,0.333,0.299,0.257,0.215,0.178,0.15,0.136,0.145,0.181,0.234,0.285,0.313,0.308,0.28,0.245,0.217,0.203,0.202,0.209,0.215,0.217,0.22,0.234,0.266,0.304,0.33,0.331,0.309,0.278,0.251,0.235,0.232,0.243,0.267,0.299,0.332,0.358,0.376,0.387,0.388,0.377,0.354,0.324,0.293,0.264,0.248,0.256,0.291,0.343,0.395,0.431,0.447,0.446,0.438,0.429,0.424,0.426,0.434,0.438,0.43,0.399,0.353,0.307,0.285,0.293,0.317,0.337,0.344,0.346,0.354,0.363,0.363,0.344,0.313,0.282,0.259,0.246,0.241,0.241,0.238,0.227,0.213,0.211,0.232,0.275,0.323,0.359,0.382,0.397,0.412,0.418,0.407,0.378,0.34,0.308,0.29,0.288,0.294,0.298,0.296,0.287,0.282,0.291,0.318,0.348,0.361,0.346,0.307,0.264,0.23,0.208,0.194,0.183,0.173,0.165,0.163,0.175,0.207,0.255,0.307,0.346,0.365,0.369,0.367,0.369,0.38,0.403,0.435,0.463,0.47,0.446,0.395,0.336,0.284,0.247,0.226,0.219,0.224,0.234,0.245,0.258,0.277,0.303,0.332,0.359,0.384,0.417,0.454,0.486,0.491,0.464,0.409,0.346,0.291,0.254,0.233,0.231,0.247,0.275,0.3,0.313,0.313,0.304,0.289,0.269,0.248,0.241,0.26,0.306,0.356,0.392,0.407,0.41,0.41,0.403,0.382,0.353,0.33,0.318,0.309,0.295,0.283,0.282,0.293,0.3,0.292,0.274,0.264,0.269,0.279,0.283,0.28,0.282,0.294,0.307,0.307,0.288,0.257,0.227,0.207,0.197,0.194,0.191,0.185,0.179,0.179,0.199,0.246,0.317,0.387,0.429,0.43,0.403,0.368,0.343,0.333,0.338,0.35,0.365,0.374,0.375,0.369,0.358,0.348,0.342,0.344,0.359,0.386,0.418,0.441,0.445,0.429,0.402,0.376,0.357,0.348,0.35,0.357,0.361,0.353,0.335,0.319,0.325,0.355,0.395,0.42,0.418,0.395,0.367,0.347,0.336,0.328,0.319,0.308,0.297,0.292,0.295,0.307,0.32,0.324,0.313,0.293,0.274,0.268,0.283,0.318,0.366,0.414,0.447,0.454,0.441,0.425,0.427,0.449,0.478,0.495,0.492,0.473,0.444,0.412,0.385,0.369,0.363,0.362,0.359,0.356,0.364,0.39,0.426,0.454,0.458,0.437,0.405,0.378,0.364,0.362,0.368,0.379,0.388,0.387,0.374,0.354,0.337,0.331,0.338,0.357,0.381,0.408,0.431,0.44,0.431,0.404,0.371,0.342,0.325,0.321,0.329,0.343,0.356,0.355,0.34,0.325,0.326,0.348,0.374,0.384,0.371,0.347,0.326,0.315,0.311,0.309,0.311,0.323,0.352,0.393,0.431,0.449,0.438,0.405,0.373,0.361,0.375,0.403,0.421,0.416,0.391,0.364,0.353,0.365,0.399,0.444,0.488,0.523,0.545,0.557,0.558,0.551,0.538,0.526,0.514,0.495,0.462,0.418,0.383,0.373,0.394,0.436,0.477,0.5,0.499,0.482,0.458,0.436,0.416,0.4,0.39,0.385,0.376,0.36,0.338,0.318,0.308,0.32,0.356,0.414,0.479,0.533,0.561,0.559,0.531,0.492,0.456,0.433,0.43,0.444,0.46,0.466,0.452,0.424,0.392,0.365,0.346,0.335,0.336,0.355,0.393,0.439,0.474,0.482,0.46,0.42,0.377,0.345,0.327,0.322,0.324,0.325,0.32,0.314,0.321,0.348,0.386,0.413,0.41,0.381,0.343,0.314,0.299,0.293,0.291,0.289,0.287,0.289,0.3,0.322,0.354,0.388,0.412,0.42,0.414,0.404,0.395,0.39,0.391,0.403,0.429,0.464,0.491,0.5,0.487,0.465,0.443,0.429,0.423,0.425,0.429,0.429,0.417,0.394,0.368,0.353,0.358,0.384,0.423,0.464,0.493,0.501,0.484,0.445,0.399,0.359,0.333,0.324,0.331,0.354,0.389,0.423,0.436,0.418,0.376,0.329,0.296,0.288,0.305,0.34,0.383,0.417,0.428,0.411,0.376,0.341,0.318,0.309,0.312,0.318,0.318,0.31,0.302,0.311,0.347,0.397,0.434,0.44,0.417,0.382,0.352,0.336,0.336,0.355,0.392,0.438,0.475,0.49,0.482,0.461,0.436,0.402,0.358,0.314,0.289,0.293,0.323,0.361,0.398,0.431,0.461,0.479,0.48,0.466,0.446,0.428,0.412,0.394,0.375,0.363,0.36,0.361,0.364,0.369,0.383,0.414,0.462,0.517,0.567,0.6,0.61,0.593,0.556,0.507,0.463,0.433,0.419,0.416,0.421,0.429,0.431,0.419,0.394,0.368,0.354,0.356,0.363,0.363,0.361,0.372,0.401,0.432,0.446,0.433,0.405,0.377,0.358,0.351,0.349,0.347,0.342,0.34,0.353,0.389,0.44,0.492,0.526,0.532,0.513,0.481,0.449,0.427,0.415,0.412,0.411,0.409,0.405,0.404,0.407,0.412,0.41,0.4,0.383,0.366,0.352,0.343,0.342,0.354,0.383,0.421,0.448,0.45,0.424,0.387,0.356,0.342,0.349,0.374,0.406,0.43,0.43,0.406,0.373,0.358,0.375,0.423,0.483,0.536,0.567,0.573,0.556,0.524,0.482,0.433,0.383,0.341,0.315,0.314,0.329,0.346,0.347,0.328,0.294,0.257,0.229,0.217,0.23,0.271,0.333,0.394,0.429,0.432,0.418,0.412,0.417,0.42,0.408,0.39,0.384,0.391,0.396,0.388,0.375,0.372,0.377,0.376,0.359,0.338,0.334,0.342,0.338,0.298,0.23,0.158,0.105,0.077,0.066,0.061,0.059,0.056,0.056,0.065,0.093,0.142,0.201,0.252,0.287,0.315,0.348,0.382,0.399,0.383,0.34,0.292,0.259,0.245,0.244,0.25,0.26,0.27,0.274,0.263,0.238,0.205,0.182,0.185,0.221,0.283,0.348,0.387,0.38,0.331,0.266,0.212,0.183,0.18,0.195,0.219,0.243,0.26,0.262,0.25,0.228,0.203,0.187,0.19,0.224,0.284,0.352,0.397,0.398,0.36,0.309,0.271,0.252,0.244,0.236,0.229,0.229,0.233,0.233,0.221,0.196,0.167,0.14,0.122,0.11,0.104,0.099,0.095,0.09,0.087,0.087,0.09,0.093,0.095,0.097,0.103,0.118,0.147,0.191,0.245,0.292,0.317,0.314,0.298,0.295,0.322,0.372,0.412,0.412,0.37,0.315,0.275,0.258,0.252,0.24,0.222,0.206,0.201,0.212,0.234,0.262,0.293,0.322,0.355,0.395,0.441,0.476,0.477,0.44,0.38,0.329,0.304,0.299,0.294,0.276,0.25,0.231,0.222,0.222,0.226,0.236,0.249,0.258,0.26,0.263,0.284,0.322,0.355,0.357,0.319,0.26,0.207,0.173,0.157,0.15,0.148,0.145,0.138,0.129,0.117,0.106,0.096,0.089,0.082,0.077,0.075,0.078,0.091,0.118,0.163,0.219,0.274,0.311,0.327,0.335,0.35,0.38,0.409,0.421,0.406,0.371,0.331,0.301,0.292,0.311,0.349,0.389,0.404,0.38,0.32,0.249,0.189,0.152,0.134,0.128,0.133,0.153,0.195,0.255,0.315,0.355,0.363,0.351,0.342,0.357,0.394,0.431,0.443,0.416,0.363,0.311,0.282,0.28,0.299,0.325,0.347,0.357,0.352,0.337,0.318,0.3,0.288,0.284,0.295,0.327,0.377,0.419,0.426,0.386,0.316,0.247,0.2,0.177,0.171,0.171,0.172,0.169,0.16,0.149,0.137,0.128,0.12,0.113,0.105,0.097,0.092,0.093,0.108,0.142,0.195,0.257,0.312,0.346,0.356,0.349,0.337,0.329,0.329,0.336,0.339,0.333,0.32,0.312,0.327,0.372,0.435,0.492,0.52,0.512,0.477,0.429,0.375,0.317,0.263,0.222,0.2,0.203,0.224,0.253,0.272,0.272,0.257,0.245,0.256,0.3,0.363,0.413,0.419,0.372,0.293,0.214,0.156,0.123,0.112,0.117,0.141,0.186,0.253,0.333,0.405,0.45,0.46,0.443,0.422,0.414,0.427,0.442,0.435,0.392,0.325,0.255,0.199,0.161,0.138,0.126,0.121,0.117,0.112,0.102,0.091,0.081,0.072,0.065,0.058,0.053,0.05,0.051,0.065,0.097,0.15,0.217,0.279,0.322,0.337,0.33,0.313,0.293,0.273,0.248,0.218,0.189,0.176,0.19,0.239,0.313,0.392,0.44,0.436,0.38,0.3,0.226,0.175,0.146,0.135,0.134,0.14,0.144,0.141,0.13,0.115,0.1,0.091,0.099,0.136,0.205,0.291,0.355,0.369,0.336,0.293,0.28,0.312,0.376,0.444,0.485,0.485,0.447,0.386,0.322,0.264,0.218,0.184,0.172,0.193,0.25,0.325,0.38,0.383,0.335,0.264,0.202,0.165,0.148,0.144,0.145,0.148,0.148,0.145,0.136,0.126,0.117,0.114,0.129,0.173,0.247,0.329,0.377,0.364,0.3,0.226,0.184,0.189,0.23,0.276,0.305,0.307,0.289,0.263,0.234,0.204,0.176,0.164,0.184,0.245,0.336,0.427,0.487,0.504,0.488,0.463,0.449,0.45,0.462,0.476,0.486,0.488,0.479,0.464,0.451,0.447,0.459,0.492,0.541,0.595,0.633,0.641,0.613,0.558,0.491,0.433,0.393,0.376,0.376,0.385,0.393,0.392,0.376,0.354,0.347,0.367,0.409,0.45,0.466,0.454,0.432,0.416,0.413,0.419,0.431,0.447,0.475,0.516,0.561,0.592,0.593,0.564,0.523,0.495,0.497,0.525,0.557,0.573,0.567,0.55,0.539,0.541,0.554,0.572,0.6,0.635,0.668,0.679,0.66,0.624,0.593,0.588,0.609,0.64,0.651,0.619,0.548,0.467,0.417,0.418,0.456,0.491,0.487,0.431,0.342,0.252,0.186,0.149,0.135,0.132,0.132,0.132,0.136,0.153,0.193,0.257,0.329,0.393,0.441,0.476,0.505,0.528,0.539,0.53,0.502,0.456,0.399,0.343,0.304,0.288,0.292,0.302,0.306,0.301,0.29,0.275,0.255,0.235,0.227,0.249,0.305,0.369,0.403,0.38,0.314,0.236,0.177,0.145,0.133,0.132,0.136,0.139,0.138,0.135,0.129,0.124,0.118,0.113,0.106,0.1,0.094,0.09,0.094,0.115,0.163,0.238,0.327,0.408,0.463,0.483,0.472,0.438,0.397,0.361,0.333,0.312,0.297,0.296,0.321,0.377,0.45,0.515,0.549,0.544,0.511,0.465,0.418,0.377,0.348,0.335,0.335,0.34,0.343,0.341,0.337,0.333,0.332,0.338,0.359,0.399,0.454,0.5,0.513,0.485,0.435,0.388,0.36,0.348,0.339,0.323,0.296,0.267,0.245,0.238,0.242,0.248,0.253,0.261,0.289,0.341,0.408,0.455,0.452,0.394,0.309,0.23,0.178,0.153,0.144,0.142,0.141,0.138,0.132,0.124,0.115,0.107,0.101,0.095,0.089,0.084,0.08,0.08,0.088,0.115,0.162,0.22,0.27,0.298,0.31,0.324,0.354,0.397,0.431,0.436,0.411,0.37,0.338,0.335,0.368,0.431,0.501,0.55,0.558,0.524,0.462,0.388,0.318,0.266,0.247,0.262,0.295,0.319,0.312,0.28,0.247,0.238,0.259,0.304,0.362,0.428,0.486,0.513,0.49,0.422,0.333,0.251,0.193,0.163,0.151,0.15,0.15,0.144,0.133,0.119,0.107,0.099,0.1,0.123,0.179,0.266,0.358,0.414,0.408,0.35,0.278,0.23,0.218,0.231,0.245,0.245,0.227,0.202,0.181,0.169,0.161,0.152,0.139,0.127,0.117,0.111,0.107,0.104,0.1,0.097,0.094,0.091,0.089,0.091,0.098,0.111,0.133,0.164,0.209,0.266,0.327,0.379,0.413,0.436,0.463,0.502,0.54,0.553,0.525,0.469,0.408,0.36,0.326,0.303,0.29,0.286,0.286,0.277,0.253,0.216,0.177,0.146,0.137,0.16,0.227,0.33,0.444,0.533,0.572,0.562,0.523,0.475,0.429,0.389,0.355,0.334,0.33,0.342,0.354,0.352,0.329,0.296,0.266,0.263,0.3,0.375,0.451,0.486,0.453,0.37,0.277,0.208,0.171,0.158,0.154,0.152,0.146,0.135,0.121,0.11,0.101,0.096,0.091,0.086,0.082,0.079,0.079,0.088,0.112,0.154,0.211,0.27,0.314,0.336,0.338,0.328,0.315,0.3,0.277,0.248,0.218,0.205,0.222,0.279,0.366,0.459,0.521,0.524,0.467,0.378,0.292,0.231,0.198,0.183,0.177,0.175,0.17,0.162,0.15,0.138,0.129,0.124,0.134,0.175,0.255,0.362,0.453,0.486,0.451,0.382,0.335,0.345,0.404,0.48,0.533,0.543,0.513,0.462,0.406,0.355,0.309,0.271,0.248,0.258,0.305,0.376,0.429,0.429,0.372,0.289,0.218,0.176,0.158,0.153,0.153,0.152,0.146,0.136,0.122,0.108,0.096,0.088,0.082,0.078,0.074,0.07,0.067,0.065,0.068,0.079,0.103,0.141,0.193,0.247,0.289,0.307,0.301,0.279,0.25,0.217,0.18,0.151,0.15,0.198,0.298,0.432,0.554,0.628,0.644,0.624,0.596,0.58,0.578,0.585,0.597,0.607,0.609,0.602,0.589,0.579,0.582,0.607,0.653,0.707,0.75,0.762,0.734,0.673,0.6,0.542,0.516,0.523,0.552,0.587,0.615,0.623,0.606,0.57,0.533,0.519,0.535,0.564,0.584,0.584,0.574,0.567,0.567,0.569,0.566,0.559,0.556,0.566,0.591,0.619,0.632,0.624,0.604,0.591,0.599,0.623,0.644,0.644,0.622,0.589,0.565,0.558,0.57,0.597,0.633,0.669,0.691,0.69,0.67,0.645,0.633,0.638,0.658,0.68,0.691,0.684,0.662,0.639,0.63,0.639,0.655,0.661,0.641,0.595,0.537,0.485,0.452,0.44,0.44,0.445,0.449,0.45,0.447,0.441,0.432,0.422,0.41,0.394,0.376,0.36,0.356,0.365,0.382,0.396,0.4,0.396,0.388,0.38,0.373,0.363,0.343,0.312,0.275,0.243,0.227,0.231,0.25,0.273,0.292,0.301,0.301,0.296,0.289,0.281,0.274,0.267,0.261,0.255,0.25,0.245,0.241,0.236,0.231,0.226,0.219,0.211,0.203,0.195,0.189,0.183,0.178,0.172,0.166,0.161,0.157,0.154,0.151,0.146,0.141,0.136,0.135,0.143,0.163,0.193,0.225,0.254,0.274,0.286,0.288,0.285,0.277,0.268,0.258,0.249,0.241,0.234,0.23,0.227,0.226,0.224,0.222,0.217,0.209,0.2,0.19,0.179,0.167,0.155,0.142,0.13,0.118,0.108,0.098,0.087,0.075,0.063,0.05,0.039,0.028,0.019,0.012,0.006,0.003,0.002]