[0.037,0.041,0.05,0.057,0.06,0.057,0.051,0.048,0.051,0.059,0.069,0.079,0.088,0.095,0.102,0.108,0.114,0.119,0.121,0.119,0.111,0.1,0.089,0.082,0.082,0.089,0.098,0.106,0.111,0.116,0.122,0.128,0.132,0.134,0.133,0.131,0.13,0.129,0.129,0.128,0.127,0.126,0.125,0.121,0.116,0.11,0.105,0.101,0.094,0.085,0.073,0.059,0.047,0.037,0.031,0.031,0.037,0.048,0.064,0.082,0.1,0.114,0.125,0.131,0.132,0.127,0.117,0.105,0.094,0.087,0.085,0.089,0.098,0.111,0.125,0.134,0.138,0.136,0.133,0.132,0.133,0.131,0.125,0.117,0.108,0.104,0.11,0.133,0.182,0.259,0.352,0.44,0.503,0.532,0.531,0.512,0.49,0.475,0.47,0.47,0.466,0.449,0.422,0.395,0.378,0.373,0.375,0.377,0.376,0.373,0.373,0.376,0.383,0.391,0.401,0.408,0.411,0.41,0.412,0.423,0.448,0.479,0.502,0.505,0.487,0.463,0.446,0.439,0.439,0.442,0.45,0.456,0.452,0.437,0.418,0.402,0.39,0.373,0.348,0.317,0.283,0.247,0.209,0.17,0.136,0.112,0.104,0.11,0.125,0.142,0.155,0.164,0.17,0.175,0.179,0.18,0.18,0.177,0.172,0.165,0.154,0.145,0.142,0.147,0.157,0.167,0.173,0.177,0.178,0.177,0.175,0.174,0.175,0.176,0.177,0.178,0.179,0.182,0.184,0.184,0.181,0.175,0.167,0.16,0.155,0.152,0.146,0.136,0.121,0.101,0.079,0.059,0.044,0.036,0.034,0.038,0.044,0.052,0.061,0.07,0.08,0.088,0.094,0.096,0.096,0.094,0.094,0.092,0.091,0.09,0.093,0.105,0.124,0.148,0.167,0.178,0.178,0.17,0.158,0.148,0.141,0.134,0.127,0.121,0.121,0.136,0.176,0.244,0.337,0.434,0.513,0.557,0.566,0.553,0.532,0.515,0.508,0.509,0.51,0.503,0.484,0.46,0.439,0.43,0.431,0.437,0.44,0.435,0.423,0.411,0.402,0.402,0.407,0.412,0.409,0.4,0.389,0.386,0.395,0.415,0.435,0.447,0.444,0.435,0.429,0.433,0.44,0.447,0.452,0.461,0.465,0.456,0.431,0.404,0.385,0.383,0.396,0.42,0.442,0.441,0.404,0.338,0.266,0.207,0.17,0.153,0.147,0.147,0.15,0.154,0.164,0.188,0.234,0.301,0.369,0.413,0.414,0.374,0.314,0.255,0.214,0.191,0.184,0.183,0.183,0.184,0.189,0.208,0.254,0.326,0.409,0.469,0.479,0.436,0.366,0.297,0.25,0.224,0.211,0.204,0.197,0.193,0.192,0.201,0.231,0.288,0.367,0.448,0.507,0.532,0.527,0.508,0.496,0.504,0.536,0.578,0.613,0.623,0.609,0.577,0.54,0.509,0.494,0.497,0.512,0.529,0.543,0.555,0.566,0.577,0.585,0.589,0.589,0.587,0.583,0.579,0.578,0.581,0.594,0.619,0.645,0.652,0.621,0.555,0.48,0.43,0.432,0.482,0.555,0.612,0.621,0.578,0.503,0.434,0.4,0.409,0.445,0.484,0.501,0.487,0.444,0.394,0.358,0.357,0.389,0.444,0.497,0.539,0.562,0.573,0.576,0.581,0.587,0.591,0.579,0.552,0.519,0.495,0.49,0.5,0.517,0.533,0.545,0.549,0.542,0.524,0.504,0.486,0.477,0.474,0.476,0.479,0.479,0.477,0.478,0.483,0.491,0.504,0.523,0.541,0.55,0.543,0.519,0.49,0.467,0.461,0.473,0.492,0.505,0.499,0.475,0.44,0.41,0.396,0.405,0.435,0.472,0.499,0.505,0.491,0.469,0.449,0.437,0.434,0.432,0.429,0.423,0.417,0.415,0.416,0.421,0.43,0.444,0.457,0.467,0.47,0.472,0.473,0.475,0.474,0.473,0.473,0.477,0.48,0.476,0.459,0.432,0.408,0.4,0.411,0.423,0.414,0.372,0.304,0.228,0.166,0.129,0.113,0.108,0.102,0.09,0.076,0.065,0.065,0.077,0.098,0.119,0.132,0.129,0.114,0.095,0.08,0.078,0.09,0.111,0.127,0.13,0.118,0.098,0.082,0.078,0.088,0.109,0.13,0.141,0.135,0.116,0.093,0.076,0.071,0.08,0.095,0.109,0.113,0.107,0.097,0.092,0.097,0.113,0.132,0.147,0.15,0.141,0.125,0.109,0.096,0.09,0.091,0.099,0.11,0.119,0.124,0.126,0.125,0.126,0.129,0.138,0.153,0.171,0.191,0.209,0.219,0.219,0.21,0.194,0.175,0.153,0.127,0.101,0.081,0.072,0.077,0.094,0.112,0.121,0.116,0.101,0.084,0.077,0.083,0.1,0.118,0.127,0.123,0.109,0.094,0.088,0.096,0.119,0.147,0.166,0.166,0.145,0.117,0.092,0.08,0.081,0.091,0.103,0.111,0.11,0.104,0.099,0.103,0.117,0.138,0.155,0.162,0.155,0.139,0.12,0.104,0.094,0.091,0.097,0.111,0.128,0.144,0.152,0.149,0.138,0.127,0.125,0.135,0.152,0.171,0.184,0.188,0.185,0.177,0.169,0.164,0.172,0.21,0.293,0.407,0.509,0.55,0.511,0.416,0.31,0.225,0.17,0.137,0.117,0.102,0.09,0.084,0.088,0.109,0.156,0.228,0.307,0.361,0.366,0.321,0.251,0.181,0.129,0.097,0.079,0.069,0.065,0.065,0.074,0.1,0.154,0.242,0.356,0.463,0.525,0.519,0.455,0.364,0.277,0.213,0.172,0.149,0.142,0.154,0.188,0.241,0.301,0.352,0.381,0.392,0.393,0.398,0.413,0.434,0.454,0.465,0.465,0.459,0.45,0.444,0.443,0.446,0.453,0.458,0.462,0.463,0.466,0.469,0.477,0.488,0.502,0.513,0.517,0.517,0.518,0.525,0.541,0.566,0.596,0.617,0.612,0.571,0.505,0.44,0.395,0.377,0.377,0.383,0.387,0.387,0.38,0.372,0.372,0.388,0.422,0.461,0.489,0.492,0.47,0.434,0.401,0.382,0.379,0.386,0.392,0.393,0.391,0.389,0.389,0.394,0.407,0.427,0.444,0.447,0.43,0.4,0.371,0.353,0.351,0.362,0.379,0.396,0.408,0.413,0.409,0.402,0.402,0.418,0.448,0.483,0.514,0.533,0.537,0.523,0.49,0.447,0.407,0.381,0.37,0.369,0.375,0.384,0.395,0.409,0.429,0.453,0.472,0.476,0.466,0.451,0.44,0.435,0.436,0.441,0.448,0.452,0.451,0.446,0.437,0.426,0.41,0.391,0.363,0.323,0.269,0.209,0.152,0.109,0.082,0.066,0.059,0.056,0.054,0.053,0.053,0.054,0.055,0.059,0.066,0.08,0.102,0.125,0.142,0.144,0.133,0.115,0.098,0.086,0.079,0.076,0.073,0.071,0.069,0.066,0.064,0.068,0.08,0.101,0.126,0.145,0.151,0.144,0.129,0.114,0.103,0.097,0.095,0.094,0.092,0.088,0.083,0.077,0.069,0.061,0.053,0.047,0.046,0.053,0.068,0.089,0.115,0.145,0.175,0.199,0.212,0.211,0.196,0.176,0.155,0.141,0.131,0.127,0.125,0.126,0.127,0.128,0.128,0.127,0.125,0.123,0.123,0.123,0.124,0.126,0.129,0.135,0.144,0.157,0.169,0.174,0.169,0.156,0.143,0.134,0.132,0.134,0.139,0.145,0.15,0.153,0.152,0.146,0.138,0.129,0.122,0.118,0.118,0.12,0.124,0.13,0.135,0.141,0.144,0.144,0.142,0.14,0.139,0.142,0.147,0.151,0.153,0.155,0.157,0.162,0.166,0.166,0.16,0.149,0.136,0.124,0.116,0.111,0.108,0.107,0.11,0.118,0.129,0.141,0.149,0.151,0.147,0.139,0.13,0.124,0.124,0.13,0.136,0.14,0.141,0.141,0.145,0.154,0.166,0.177,0.181,0.177,0.162,0.143,0.126,0.118,0.121,0.133,0.147,0.155,0.153,0.141,0.125,0.113,0.11,0.117,0.132,0.148,0.161,0.171,0.177,0.182,0.186,0.19,0.193,0.194,0.199,0.209,0.224,0.239,0.248,0.248,0.244,0.24,0.241,0.248,0.257,0.262,0.26,0.248,0.228,0.205,0.183,0.167,0.159,0.157,0.16,0.166,0.174,0.182,0.188,0.191,0.188,0.18,0.167,0.153,0.146,0.147,0.155,0.162,0.166,0.168,0.173,0.181,0.19,0.196,0.197,0.195,0.19,0.182,0.169,0.157,0.153,0.16,0.172,0.181,0.177,0.161,0.143,0.141,0.168,0.224,0.292,0.342,0.353,0.32,0.262,0.204,0.16,0.133,0.118,0.11,0.104,0.1,0.097,0.103,0.127,0.181,0.258,0.337,0.386,0.387,0.343,0.275,0.208,0.157,0.126,0.109,0.102,0.098,0.097,0.101,0.119,0.161,0.232,0.314,0.378,0.393,0.356,0.287,0.217,0.165,0.136,0.122,0.116,0.114,0.113,0.116,0.129,0.164,0.23,0.32,0.41,0.464,0.463,0.411,0.335,0.264,0.213,0.181,0.162,0.149,0.137,0.128,0.127,0.146,0.198,0.28,0.37,0.433,0.449,0.418,0.362,0.312,0.294,0.321,0.386,0.46,0.505,0.496,0.44,0.367,0.318,0.316,0.363,0.438,0.518,0.582,0.627,0.657,0.677,0.687,0.683,0.663,0.636,0.609,0.588,0.572,0.558,0.54,0.514,0.47,0.407,0.329,0.249,0.18,0.129,0.096,0.077,0.066,0.058,0.052,0.047,0.043,0.042,0.042,0.044,0.046,0.049,0.05,0.05,0.048,0.046,0.044,0.042,0.043,0.044,0.045,0.046,0.046,0.045,0.044,0.047,0.054,0.064,0.076,0.083,0.083,0.076,0.065,0.057,0.055,0.061,0.072,0.085,0.095,0.103,0.108,0.113,0.119,0.125,0.13,0.132,0.13,0.123,0.111,0.098,0.087,0.084,0.087,0.096,0.104,0.109,0.111,0.113,0.12,0.131,0.144,0.155,0.161,0.162,0.159,0.153,0.148,0.143,0.138,0.135,0.132,0.13,0.13,0.131,0.13,0.124,0.113,0.097,0.077,0.058,0.043,0.033,0.029,0.032,0.039,0.05,0.061,0.071,0.079,0.086,0.091,0.094,0.094,0.092,0.088,0.084,0.081,0.08,0.08,0.083,0.09,0.101,0.115,0.129,0.139,0.145,0.145,0.141,0.133,0.123,0.113,0.103,0.096,0.095,0.106,0.136,0.193,0.276,0.37,0.45,0.495,0.5,0.476,0.445,0.427,0.428,0.447,0.469,0.482,0.48,0.462,0.437,0.415,0.402,0.399,0.4,0.401,0.4,0.4,0.402,0.406,0.409,0.413,0.416,0.421,0.425,0.428,0.429,0.431,0.434,0.436,0.431,0.417,0.403,0.399,0.408,0.422,0.439,0.458,0.482,0.499,0.495,0.467,0.429,0.393,0.365,0.341,0.321,0.303,0.285,0.261,0.232,0.199,0.17,0.15,0.143,0.147,0.155,0.164,0.17,0.175,0.182,0.19,0.198,0.203,0.205,0.202,0.194,0.182,0.168,0.159,0.156,0.16,0.171,0.184,0.196,0.202,0.202,0.201,0.202,0.206,0.212,0.217,0.219,0.218,0.212,0.201,0.189,0.183,0.187,0.2,0.216,0.228,0.234,0.235,0.233,0.232,0.232,0.231,0.228,0.221,0.21,0.2,0.192,0.189,0.192,0.2,0.21,0.222,0.236,0.253,0.277,0.31,0.347,0.377,0.388,0.383,0.372,0.37,0.387,0.424,0.47,0.51,0.527,0.516,0.487,0.455,0.432,0.425,0.437,0.465,0.497,0.518,0.514,0.492,0.466,0.455,0.467,0.497,0.529,0.549,0.548,0.525,0.493,0.462,0.444,0.441,0.448,0.458,0.468,0.482,0.503,0.526,0.544,0.55,0.551,0.555,0.566,0.579,0.589,0.591,0.579,0.553,0.521,0.493,0.471,0.457,0.448,0.442,0.439,0.44,0.441,0.443,0.44,0.426,0.396,0.351,0.297,0.24,0.188,0.145,0.115,0.095,0.08,0.066,0.054,0.048,0.05,0.06,0.077,0.093,0.1,0.095,0.082,0.068,0.059,0.059,0.068,0.081,0.092,0.093,0.084,0.07,0.06,0.06,0.072,0.093,0.112,0.121,0.114,0.096,0.076,0.064,0.062,0.072,0.087,0.1,0.105,0.101,0.093,0.087,0.087,0.097,0.114,0.13,0.138,0.136,0.125,0.112,0.102,0.095,0.092,0.092,0.094,0.1,0.108,0.12,0.134,0.146,0.156,0.163,0.171,0.181,0.19,0.199,0.205,0.21,0.214,0.215,0.21,0.198,0.177,0.152,0.128,0.113,0.113,0.128,0.151,0.17,0.176,0.163,0.141,0.119,0.111,0.118,0.137,0.157,0.167,0.163,0.147,0.125,0.108,0.104,0.115,0.137,0.158,0.167,0.158,0.136,0.112,0.097,0.096,0.11,0.13,0.148,0.155,0.151,0.142,0.135,0.135,0.144,0.158,0.17,0.177,0.176,0.17,0.161,0.154,0.15,0.152,0.159,0.168,0.175,0.178,0.179,0.18,0.184,0.19,0.199,0.212,0.228,0.244,0.255,0.253,0.238,0.215,0.192,0.177,0.182,0.222,0.301,0.401,0.481,0.5,0.448,0.354,0.254,0.178,0.13,0.103,0.087,0.076,0.071,0.069,0.074,0.095,0.143,0.222,0.314,0.384,0.401,0.363,0.291,0.217,0.16,0.123,0.101,0.086,0.077,0.07,0.067,0.072,0.093,0.141,0.22,0.312,0.384,0.409,0.379,0.315,0.243,0.185,0.147,0.127,0.121,0.131,0.163,0.221,0.295,0.367,0.416,0.433,0.427,0.415,0.412,0.421,0.436,0.446,0.449,0.444,0.437,0.431,0.428,0.43,0.438,0.452,0.465,0.471,0.47,0.465,0.463,0.471,0.488,0.507,0.519,0.519,0.512,0.503,0.499,0.504,0.522,0.55,0.576,0.58,0.547,0.485,0.415,0.362,0.34,0.347,0.371,0.4,0.422,0.433,0.436,0.437,0.445,0.459,0.472,0.475,0.459,0.426,0.386,0.352,0.333,0.335,0.353,0.38,0.406,0.424,0.432,0.437,0.446,0.461,0.475,0.478,0.463,0.431,0.388,0.348,0.322,0.317,0.327,0.346,0.367,0.387,0.402,0.413,0.423,0.438,0.462,0.487,0.503,0.502,0.485,0.463,0.445,0.443,0.466,0.519,0.591,0.656,0.687,0.669,0.614,0.547,0.493,0.46,0.446,0.439,0.431,0.421,0.414,0.409,0.406,0.399,0.391,0.38,0.367,0.352,0.338,0.325,0.315,0.31,0.313,0.322,0.323,0.304,0.258,0.198,0.138,0.093,0.065,0.049,0.042,0.039,0.039,0.041,0.045,0.049,0.052,0.054,0.057,0.062,0.073,0.085,0.095,0.097,0.09,0.078,0.066,0.057,0.053,0.051,0.052,0.054,0.055,0.056,0.055,0.054,0.056,0.061,0.07,0.077,0.081,0.078,0.071,0.063,0.057,0.054,0.053,0.054,0.056,0.058,0.06,0.062,0.062,0.06,0.056,0.052,0.052,0.056,0.066,0.081,0.098,0.115,0.13,0.142,0.153,0.164,0.173,0.179,0.179,0.176,0.171,0.165,0.159,0.153,0.148,0.145,0.147,0.152,0.158,0.163,0.165,0.166,0.164,0.16,0.154,0.15,0.152,0.16,0.168,0.173,0.169,0.158,0.142,0.126,0.114,0.107,0.106,0.111,0.117,0.124,0.126,0.123,0.115,0.103,0.091,0.08,0.07,0.062,0.055,0.05,0.047,0.048,0.052,0.059,0.068,0.078,0.088,0.096,0.099,0.098,0.092,0.085,0.079,0.076,0.076,0.079,0.084,0.092,0.102,0.113,0.123,0.132,0.141,0.151,0.162,0.174,0.186,0.195,0.195,0.185,0.166,0.146,0.128,0.114,0.102,0.095,0.094,0.099,0.107,0.115,0.12,0.125,0.128,0.128,0.124,0.118,0.112,0.107,0.104,0.105,0.109,0.116,0.122,0.125,0.123,0.119,0.118,0.12,0.127,0.134,0.138,0.134,0.126,0.114,0.103,0.093,0.085,0.078,0.073,0.073,0.078,0.087,0.099,0.112,0.123,0.13,0.134,0.137,0.143,0.153,0.166,0.181,0.193,0.202,0.208,0.21,0.212,0.211,0.208,0.202,0.194,0.187,0.18,0.176,0.175,0.178,0.184,0.19,0.195,0.193,0.186,0.174,0.163,0.16,0.165,0.177,0.187,0.192,0.19,0.187,0.185,0.188,0.196,0.21,0.224,0.232,0.227,0.208,0.184,0.165,0.16,0.169,0.185,0.199,0.202,0.192,0.173,0.151,0.132,0.118,0.107,0.095,0.081,0.066,0.054,0.046,0.042,0.041,0.04,0.039,0.037,0.036,0.035,0.035,0.036,0.039,0.043,0.048,0.053,0.056,0.056,0.055,0.054,0.054,0.054,0.055,0.057,0.057,0.057,0.056,0.056,0.057,0.059,0.063,0.068,0.074,0.079,0.083,0.085,0.087,0.088,0.09,0.093,0.098,0.104,0.109,0.113,0.114,0.116,0.117,0.119,0.121,0.122,0.124,0.127,0.129,0.129,0.128,0.129,0.134,0.143,0.15,0.152,0.147,0.138,0.128,0.122,0.118,0.115,0.113,0.11,0.108,0.105,0.101,0.098,0.097,0.096,0.097,0.098,0.101,0.105,0.11,0.116,0.121,0.126,0.13,0.132,0.132,0.131,0.134,0.14,0.15,0.164,0.18,0.194,0.203,0.206,0.206,0.208,0.211,0.215,0.219,0.225,0.234,0.244,0.255,0.265,0.275,0.284,0.294,0.308,0.323,0.339,0.352,0.359,0.361,0.361,0.364,0.375,0.394,0.417,0.439,0.459,0.478,0.493,0.502,0.503,0.5,0.495,0.489,0.483,0.481,0.485,0.5,0.524,0.556,0.587,0.603,0.588,0.536,0.463,0.394,0.355,0.352,0.377,0.411,0.436,0.44,0.422,0.397,0.379,0.382,0.403,0.433,0.455,0.461,0.448,0.419,0.387,0.364,0.36,0.373,0.395,0.412,0.423,0.432,0.446,0.465,0.487,0.511,0.533,0.543,0.532,0.494,0.44,0.391,0.367,0.378,0.411,0.449,0.472,0.472,0.453,0.427,0.411,0.415,0.44,0.471,0.494,0.494,0.474,0.439,0.406,0.386,0.388,0.408,0.437,0.465,0.485,0.494,0.497,0.5,0.516,0.544,0.58,0.601,0.589,0.54,0.468,0.396,0.344,0.32,0.32,0.335,0.354,0.371,0.386,0.402,0.419,0.439,0.46,0.481,0.501,0.515,0.516,0.5,0.468,0.432,0.41,0.415,0.448,0.493,0.529,0.542,0.531,0.506,0.481,0.461,0.447,0.433,0.419,0.414,0.426,0.451,0.478,0.499,0.514,0.522,0.517,0.504,0.496,0.507,0.53,0.552,0.567,0.581,0.595,0.596,0.565,0.507,0.446,0.411,0.412,0.437,0.469,0.489,0.491,0.473,0.446,0.422,0.414,0.426,0.452,0.478,0.49,0.479,0.447,0.408,0.381,0.38,0.406,0.445,0.482,0.506,0.516,0.515,0.507,0.5,0.503,0.519,0.539,0.541,0.513,0.462,0.411,0.384,0.39,0.421,0.458,0.481,0.481,0.461,0.429,0.401,0.388,0.399,0.426,0.461,0.485,0.491,0.477,0.452,0.429,0.423,0.435,0.456,0.473,0.481,0.483,0.485,0.49,0.496,0.506,0.52,0.54,0.553,0.547,0.509,0.448,0.381,0.33,0.308,0.312,0.331,0.354,0.373,0.385,0.392,0.399,0.413,0.442,0.483,0.522,0.539,0.524,0.483,0.437,0.406,0.404,0.431,0.476,0.518,0.541,0.541,0.523,0.5,0.483,0.473,0.463,0.446,0.426,0.414,0.418,0.429,0.438,0.444,0.455,0.468,0.474,0.466,0.453,0.444,0.44,0.439,0.445,0.469,0.503,0.529,0.528,0.499,0.454,0.416,0.401,0.418,0.46,0.505,0.532,0.531,0.512,0.489,0.477,0.475,0.474,0.463,0.441,0.417,0.402,0.399,0.41,0.436,0.48,0.528,0.559,0.561,0.546,0.534,0.533,0.54,0.55,0.57,0.6,0.629,0.646,0.648,0.64,0.632,0.635,0.656,0.687,0.712,0.709,0.672,0.611,0.55,0.518,0.529,0.579,0.643,0.698,0.727,0.734,0.73,0.726,0.73,0.744,0.764,0.774,0.759,0.716,0.657,0.599,0.564,0.561,0.588,0.628,0.662,0.677,0.676,0.664,0.657,0.666,0.697,0.735,0.758,0.746,0.699,0.632,0.57,0.531,0.517,0.518,0.518,0.513,0.513,0.531,0.561,0.583,0.586,0.576,0.569,0.567,0.569,0.574,0.589,0.606,0.615,0.615,0.625,0.651,0.675,0.662,0.595,0.486,0.374,0.303,0.302,0.371,0.479,0.578,0.621,0.594,0.511,0.407,0.318,0.276,0.297,0.381,0.502,0.624,0.714,0.756,0.75,0.709,0.647,0.574,0.495,0.412,0.329,0.251,0.183,0.13,0.09,0.061,0.042,0.029,0.02,0.015,0.011,0.008,0.006,0.005,0.004,0.003,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0]