[0.095,0.102,0.114,0.121,0.119,0.111,0.1,0.091,0.085,0.08,0.076,0.071,0.066,0.064,0.068,0.082,0.103,0.124,0.138,0.14,0.133,0.123,0.117,0.12,0.131,0.144,0.152,0.151,0.146,0.141,0.145,0.161,0.184,0.204,0.214,0.21,0.196,0.179,0.163,0.149,0.137,0.127,0.118,0.112,0.109,0.113,0.127,0.151,0.177,0.195,0.199,0.188,0.17,0.151,0.134,0.12,0.108,0.099,0.092,0.087,0.085,0.09,0.106,0.131,0.157,0.174,0.176,0.166,0.15,0.133,0.118,0.106,0.098,0.092,0.091,0.093,0.101,0.119,0.146,0.179,0.206,0.218,0.213,0.196,0.174,0.153,0.137,0.127,0.12,0.115,0.112,0.111,0.116,0.126,0.141,0.153,0.158,0.155,0.145,0.133,0.123,0.114,0.106,0.098,0.091,0.087,0.085,0.09,0.104,0.13,0.165,0.198,0.217,0.217,0.202,0.181,0.16,0.142,0.13,0.121,0.116,0.113,0.112,0.115,0.123,0.135,0.146,0.152,0.152,0.145,0.136,0.127,0.119,0.113,0.109,0.106,0.103,0.1,0.098,0.101,0.113,0.131,0.15,0.162,0.161,0.151,0.138,0.13,0.133,0.143,0.155,0.162,0.161,0.156,0.153,0.157,0.171,0.191,0.209,0.217,0.212,0.199,0.182,0.167,0.153,0.14,0.128,0.119,0.111,0.108,0.113,0.129,0.154,0.18,0.197,0.199,0.188,0.169,0.149,0.132,0.119,0.108,0.1,0.093,0.088,0.086,0.092,0.108,0.133,0.159,0.176,0.177,0.167,0.149,0.131,0.117,0.106,0.098,0.093,0.092,0.094,0.103,0.121,0.149,0.181,0.206,0.217,0.211,0.194,0.173,0.153,0.137,0.127,0.12,0.115,0.112,0.111,0.116,0.126,0.141,0.153,0.159,0.154,0.144,0.133,0.122,0.114,0.106,0.098,0.091,0.087,0.086,0.091,0.105,0.132,0.167,0.199,0.217,0.217,0.202,0.18,0.159,0.142,0.129,0.121,0.116,0.113,0.112,0.115,0.123,0.135,0.146,0.152,0.151,0.144,0.135,0.127,0.119,0.113,0.109,0.106,0.103,0.1,0.098,0.101,0.113,0.131,0.15,0.162,0.161,0.15,0.137,0.13,0.133,0.144,0.156,0.162,0.161,0.156,0.152,0.157,0.172,0.193,0.211,0.217,0.211,0.197,0.181,0.166,0.152,0.14,0.128,0.119,0.111,0.108,0.114,0.13,0.155,0.181,0.197,0.198,0.186,0.168,0.149,0.132,0.119,0.108,0.099,0.092,0.087,0.086,0.092,0.109,0.134,0.16,0.176,0.177,0.166,0.148,0.131,0.116,0.105,0.098,0.093,0.092,0.094,0.103,0.122,0.15,0.182,0.207,0.217,0.211,0.193,0.171,0.152,0.137,0.127,0.12,0.115,0.112,0.112,0.117,0.128,0.142,0.154,0.158,0.154,0.144,0.132,0.122,0.113,0.105,0.098,0.091,0.086,0.086,0.091,0.106,0.133,0.167,0.198,0.216,0.215,0.201,0.179,0.158,0.14,0.128,0.121,0.116,0.113,0.112,0.115,0.123,0.135,0.147,0.153,0.152,0.144,0.135,0.126,0.118,0.113,0.108,0.105,0.102,0.099,0.098,0.102,0.114,0.133,0.152,0.162,0.161,0.15,0.137,0.131,0.134,0.145,0.157,0.163,0.161,0.156,0.153,0.158,0.174,0.194,0.211,0.217,0.21,0.196,0.18,0.165,0.152,0.14,0.129,0.119,0.112,0.11,0.115,0.131,0.156,0.182,0.197,0.198,0.185,0.166,0.148,0.131,0.118,0.107,0.099,0.092,0.087,0.086,0.091,0.106,0.128,0.15,0.163,0.163,0.152,0.136,0.12,0.108,0.098,0.091,0.086,0.085,0.088,0.097,0.116,0.146,0.178,0.204,0.214,0.208,0.19,0.169,0.15,0.135,0.124,0.118,0.113,0.111,0.11,0.113,0.122,0.14,0.166,0.198,0.232,0.261,0.284,0.301,0.314,0.326,0.338,0.349,0.358,0.364,0.369,0.372,0.375,0.379,0.383,0.386,0.388,0.385,0.378,0.369,0.362,0.364,0.373,0.385,0.396,0.406,0.422,0.458,0.522,0.606,0.688,0.739,0.747,0.72,0.673,0.624,0.582,0.552,0.53,0.512,0.496,0.481,0.471,0.465,0.46,0.453,0.443,0.433,0.425,0.417,0.401,0.374,0.341,0.312,0.296,0.293,0.297,0.302,0.306,0.314,0.327,0.338,0.339,0.328,0.309,0.287,0.269,0.257,0.252,0.254,0.258,0.258,0.257,0.261,0.282,0.319,0.359,0.382,0.377,0.348,0.308,0.271,0.244,0.227,0.216,0.208,0.205,0.211,0.234,0.281,0.352,0.44,0.53,0.608,0.662,0.688,0.685,0.657,0.611,0.553,0.491,0.429,0.374,0.332,0.307,0.299,0.305,0.316,0.321,0.315,0.3,0.281,0.265,0.255,0.249,0.245,0.24,0.232,0.224,0.219,0.224,0.247,0.293,0.359,0.43,0.49,0.524,0.526,0.498,0.45,0.396,0.348,0.31,0.278,0.248,0.226,0.226,0.255,0.307,0.355,0.378,0.368,0.336,0.296,0.261,0.234,0.214,0.198,0.184,0.173,0.169,0.185,0.232,0.315,0.423,0.529,0.605,0.633,0.615,0.57,0.519,0.479,0.452,0.435,0.421,0.41,0.401,0.396,0.392,0.386,0.372,0.349,0.32,0.29,0.267,0.254,0.251,0.252,0.254,0.251,0.245,0.237,0.232,0.234,0.243,0.256,0.266,0.27,0.265,0.255,0.24,0.224,0.206,0.188,0.172,0.158,0.15,0.152,0.171,0.212,0.271,0.33,0.369,0.373,0.348,0.307,0.265,0.23,0.203,0.181,0.164,0.152,0.144,0.146,0.166,0.212,0.284,0.365,0.427,0.449,0.432,0.396,0.364,0.35,0.353,0.363,0.369,0.369,0.364,0.361,0.362,0.362,0.353,0.331,0.297,0.258,0.221,0.19,0.167,0.15,0.137,0.127,0.12,0.117,0.121,0.143,0.192,0.276,0.383,0.486,0.555,0.576,0.556,0.515,0.475,0.447,0.429,0.418,0.409,0.401,0.402,0.417,0.448,0.488,0.523,0.538,0.528,0.498,0.457,0.415,0.378,0.348,0.325,0.306,0.291,0.283,0.295,0.341,0.426,0.535,0.636,0.699,0.712,0.684,0.634,0.583,0.541,0.513,0.495,0.482,0.471,0.462,0.457,0.455,0.453,0.447,0.438,0.429,0.422,0.415,0.4,0.374,0.343,0.315,0.3,0.297,0.299,0.301,0.305,0.313,0.327,0.34,0.342,0.331,0.312,0.29,0.272,0.261,0.257,0.257,0.26,0.26,0.259,0.265,0.286,0.324,0.364,0.387,0.382,0.354,0.316,0.281,0.257,0.243,0.237,0.233,0.227,0.221,0.217,0.227,0.26,0.322,0.404,0.493,0.569,0.619,0.641,0.639,0.62,0.589,0.552,0.51,0.468,0.43,0.398,0.374,0.359,0.351,0.343,0.331,0.313,0.292,0.272,0.258,0.249,0.244,0.239,0.234,0.229,0.228,0.24,0.271,0.326,0.401,0.483,0.552,0.595,0.605,0.59,0.559,0.521,0.482,0.448,0.424,0.407,0.4,0.403,0.423,0.457,0.495,0.524,0.533,0.524,0.505,0.482,0.46,0.438,0.415,0.393,0.374,0.361,0.363,0.393,0.456,0.538,0.614,0.663,0.678,0.667,0.636,0.594,0.546,0.503,0.471,0.453,0.443,0.436,0.429,0.419,0.406,0.388,0.368,0.349,0.334,0.323,0.315,0.308,0.298,0.284,0.265,0.245,0.228,0.221,0.228,0.249,0.276,0.3,0.312,0.309,0.297,0.279,0.261,0.243,0.228,0.215,0.204,0.197,0.198,0.212,0.244,0.292,0.338,0.365,0.36,0.331,0.29,0.252,0.222,0.199,0.182,0.168,0.158,0.152,0.15,0.152,0.161,0.174,0.186,0.19,0.183,0.166,0.147,0.131,0.122,0.118,0.116,0.113,0.109,0.108,0.115,0.138,0.174,0.214,0.243,0.252,0.24,0.217,0.191,0.168,0.15,0.136,0.125,0.118,0.114,0.114,0.116,0.12,0.128,0.136,0.141,0.139,0.131,0.122,0.119,0.124,0.134,0.143,0.144,0.14,0.132,0.126,0.125,0.13,0.138,0.144,0.143,0.136,0.128,0.125,0.132,0.148,0.163,0.171,0.166,0.155,0.151,0.174,0.241,0.353,0.491,0.617,0.697,0.722,0.704,0.665,0.626,0.595,0.575,0.563,0.551,0.536,0.519,0.505,0.494,0.487,0.479,0.472,0.469,0.47,0.47,0.46,0.436,0.402,0.37,0.351,0.347,0.351,0.358,0.37,0.385,0.402,0.413,0.412,0.398,0.378,0.359,0.348,0.347,0.353,0.361,0.367,0.37,0.371,0.376,0.39,0.408,0.419,0.413,0.387,0.347,0.307,0.273,0.25,0.235,0.223,0.215,0.212,0.221,0.252,0.31,0.393,0.492,0.589,0.667,0.716,0.735,0.728,0.699,0.654,0.597,0.535,0.476,0.426,0.389,0.368,0.362,0.368,0.379,0.385,0.379,0.364,0.345,0.331,0.326,0.328,0.335,0.343,0.347,0.345,0.339,0.338,0.35,0.385,0.44,0.502,0.552,0.575,0.569,0.539,0.494,0.449,0.413,0.388,0.369,0.351,0.339,0.345,0.377,0.43,0.485,0.524,0.536,0.525,0.5,0.472,0.452,0.446,0.455,0.47,0.482,0.484,0.484,0.497,0.534,0.592,0.653,0.695,0.702,0.672,0.62,0.567,0.528,0.505,0.495,0.493,0.493,0.493,0.492,0.486,0.473,0.452,0.427,0.402,0.382,0.371,0.369,0.376,0.39,0.406,0.416,0.414,0.402,0.385,0.372,0.369,0.374,0.377,0.376,0.371,0.367,0.365,0.364,0.36,0.351,0.339,0.326,0.318,0.316,0.327,0.355,0.398,0.441,0.465,0.461,0.431,0.389,0.35,0.323,0.308,0.299,0.292,0.287,0.29,0.304,0.335,0.381,0.434,0.48,0.502,0.493,0.458,0.414,0.382,0.368,0.37,0.376,0.378,0.375,0.371,0.371,0.374,0.374,0.362,0.337,0.302,0.265,0.232,0.207,0.188,0.174,0.162,0.151,0.146,0.155,0.191,0.259,0.36,0.479,0.592,0.669,0.695,0.672,0.622,0.569,0.53,0.507,0.497,0.49,0.484,0.479,0.48,0.494,0.52,0.554,0.582,0.593,0.583,0.559,0.529,0.498,0.47,0.444,0.42,0.398,0.377,0.361,0.366,0.407,0.489,0.592,0.68,0.729,0.734,0.711,0.676,0.64,0.609,0.586,0.57,0.558,0.548,0.539,0.533,0.529,0.523,0.511,0.491,0.468,0.448,0.434,0.422,0.412,0.403,0.396,0.389,0.381,0.371,0.363,0.364,0.379,0.408,0.443,0.473,0.488,0.484,0.468,0.447,0.428,0.412,0.396,0.38,0.366,0.357,0.36,0.381,0.417,0.453,0.471,0.462,0.43,0.391,0.359,0.338,0.324,0.318,0.32,0.33,0.343,0.351,0.358,0.37,0.398,0.444,0.499,0.549,0.582,0.592,0.582,0.556,0.517,0.47,0.421,0.379,0.349,0.337,0.343,0.365,0.397,0.432,0.46,0.477,0.481,0.473,0.458,0.44,0.421,0.405,0.389,0.374,0.363,0.366,0.391,0.44,0.506,0.576,0.631,0.659,0.657,0.63,0.594,0.566,0.555,0.561,0.572,0.578,0.575,0.571,0.576,0.588,0.597,0.593,0.572,0.539,0.503,0.471,0.449,0.444,0.453,0.471,0.488,0.501,0.518,0.551,0.604,0.666,0.716,0.737,0.727,0.695,0.653,0.608,0.571,0.546,0.533,0.527,0.522,0.513,0.501,0.488,0.476,0.465,0.452,0.436,0.416,0.394,0.377,0.365,0.356,0.346,0.335,0.327,0.328,0.34,0.362,0.388,0.41,0.42,0.413,0.392,0.362,0.331,0.307,0.296,0.296,0.304,0.312,0.318,0.323,0.335,0.359,0.393,0.425,0.443,0.442,0.427,0.406,0.381,0.349,0.31,0.268,0.231,0.202,0.186,0.18,0.182,0.191,0.205,0.217,0.219,0.211,0.193,0.173,0.157,0.146,0.139,0.135,0.132,0.129,0.13,0.14,0.164,0.199,0.235,0.258,0.26,0.244,0.218,0.191,0.169,0.152,0.138,0.128,0.121,0.119,0.124,0.135,0.153,0.172,0.188,0.193,0.187,0.173,0.155,0.138,0.124,0.113,0.103,0.096,0.091,0.092,0.109,0.148,0.209,0.28,0.334,0.354,0.337,0.299,0.256,0.22,0.193,0.174,0.161,0.151,0.146,0.152,0.182,0.247,0.342,0.442,0.515,0.543,0.529,0.492,0.45,0.411,0.377,0.349,0.328,0.316,0.313,0.321,0.337,0.361,0.391,0.423,0.452,0.472,0.481,0.481,0.473,0.463,0.456,0.455,0.458,0.46,0.455,0.444,0.435,0.439,0.461,0.499,0.541,0.575,0.593,0.597,0.587,0.564,0.53,0.49,0.451,0.418,0.396,0.391,0.405,0.439,0.482,0.521,0.546,0.554,0.551,0.536,0.51,0.469,0.42,0.372,0.333,0.308,0.296,0.29,0.288,0.289,0.293,0.298,0.305,0.312,0.316,0.317,0.316,0.315,0.314,0.312,0.309,0.307,0.31,0.321,0.342,0.372,0.41,0.448,0.482,0.507,0.52,0.517,0.495,0.459,0.414,0.373,0.343,0.329,0.334,0.36,0.398,0.433,0.446,0.431,0.398,0.366,0.352,0.364,0.392,0.416,0.417,0.394,0.361,0.342,0.358,0.412,0.487,0.551,0.583,0.576,0.545,0.505,0.466,0.425,0.377,0.322,0.267,0.221,0.198,0.21,0.264,0.35,0.439,0.5,0.518,0.502,0.473,0.446,0.429,0.421,0.418,0.412,0.401,0.384,0.368,0.358,0.36,0.375,0.399,0.421,0.43,0.425,0.409,0.389,0.37,0.357,0.352,0.357,0.367,0.382,0.4,0.421,0.442,0.46,0.469,0.467,0.454,0.438,0.423,0.413,0.402,0.389,0.372,0.358,0.351,0.36,0.39,0.441,0.504,0.558,0.586,0.582,0.557,0.524,0.495,0.47,0.446,0.422,0.397,0.375,0.356,0.341,0.33,0.323,0.317,0.313,0.307,0.299,0.291,0.282,0.277,0.274,0.275,0.28,0.29,0.306,0.33,0.366,0.416,0.476,0.533,0.574,0.589,0.582,0.56,0.529,0.49,0.448,0.408,0.377,0.36,0.356,0.365,0.382,0.406,0.432,0.452,0.456,0.44,0.406,0.361,0.313,0.27,0.236,0.213,0.197,0.185,0.183,0.201,0.25,0.33,0.421,0.491,0.519,0.505,0.464,0.415,0.368,0.325,0.283,0.242,0.205,0.179,0.169,0.181,0.219,0.277,0.339,0.384,0.401,0.394,0.375,0.357,0.346,0.339,0.333,0.327,0.323,0.325,0.334,0.352,0.379,0.417,0.46,0.498,0.519,0.518,0.5,0.475,0.453,0.439,0.435,0.438,0.441,0.441,0.437,0.433,0.433,0.44,0.452,0.466,0.477,0.484,0.488,0.49,0.488,0.477,0.457,0.429,0.403,0.389,0.396,0.425,0.468,0.509,0.533,0.535,0.52,0.497,0.475,0.452,0.428,0.4,0.37,0.341,0.321,0.318,0.338,0.381,0.436,0.485,0.511,0.513,0.498,0.478,0.463,0.456,0.454,0.452,0.447,0.44,0.436,0.44,0.457,0.486,0.525,0.565,0.595,0.609,0.608,0.599,0.582,0.559,0.529,0.498,0.469,0.448,0.437,0.438,0.447,0.455,0.453,0.434,0.403,0.37,0.349,0.341,0.341,0.339,0.328,0.31,0.291,0.279,0.289,0.33,0.404,0.493,0.569,0.608,0.606,0.577,0.546,0.527,0.526,0.528,0.522,0.499,0.466,0.435,0.421,0.432,0.467,0.511,0.545,0.551,0.534,0.506,0.487,0.48,0.482,0.487,0.487,0.481,0.469,0.456,0.448,0.455,0.479,0.516,0.555,0.582,0.589,0.576,0.549,0.518,0.491,0.475,0.47,0.474,0.482,0.49,0.5,0.513,0.532,0.553,0.568,0.568,0.555,0.537,0.522,0.513,0.508,0.502,0.496,0.493,0.496,0.509,0.531,0.561,0.593,0.62,0.637,0.642,0.635,0.618,0.59,0.553,0.515,0.486,0.468,0.457,0.45,0.444,0.442,0.45,0.47,0.5,0.529,0.543,0.535,0.505,0.462,0.418,0.381,0.356,0.341,0.335,0.34,0.362,0.401,0.452,0.502,0.539,0.555,0.551,0.533,0.505,0.47,0.429,0.39,0.36,0.342,0.335,0.332,0.33,0.328,0.324,0.319,0.311,0.301,0.288,0.268,0.239,0.2,0.16,0.123,0.098,0.087,0.099,0.14,0.212,0.298,0.372,0.412,0.415,0.395,0.367,0.335,0.297,0.251,0.2,0.155,0.125,0.119,0.148,0.218,0.322,0.432,0.516,0.554,0.552,0.524,0.487,0.451,0.424,0.407,0.398,0.395,0.396,0.398,0.402,0.411,0.426,0.447,0.471,0.495,0.515,0.529,0.535,0.534,0.53,0.524,0.517,0.507,0.497,0.49,0.491,0.506,0.532,0.565,0.597,0.622,0.637,0.642,0.636,0.617,0.585,0.546,0.51,0.482,0.466,0.464,0.478,0.505,0.539,0.568,0.586,0.591,0.585,0.57,0.545,0.512,0.474,0.436,0.402,0.374,0.353,0.34,0.338,0.345,0.359,0.374,0.383,0.385,0.378,0.364,0.348,0.334,0.323,0.314,0.31,0.316,0.342,0.392,0.462,0.534,0.585,0.609,0.615,0.619,0.632,0.65,0.66,0.651,0.623,0.582,0.54,0.508,0.49,0.487,0.492,0.496,0.494,0.483,0.464,0.444,0.432,0.433,0.445,0.46,0.465,0.459,0.447,0.445,0.464,0.506,0.555,0.593,0.606,0.593,0.563,0.527,0.49,0.452,0.411,0.368,0.33,0.301,0.289,0.303,0.348,0.415,0.482,0.524,0.533,0.517,0.491,0.469,0.454,0.445,0.439,0.432,0.424,0.415,0.412,0.419,0.439,0.466,0.49,0.5,0.495,0.476,0.453,0.433,0.42,0.417,0.421,0.431,0.444,0.455,0.462,0.463,0.464,0.465,0.466,0.461,0.449,0.434,0.42,0.412,0.405,0.395,0.382,0.37,0.366,0.376,0.406,0.454,0.51,0.556,0.578,0.576,0.559,0.536,0.514,0.494,0.474,0.454,0.433,0.413,0.397,0.393,0.403,0.429,0.464,0.497,0.518,0.526,0.523,0.514,0.5,0.484,0.467,0.455,0.451,0.455,0.466,0.481,0.499,0.518,0.536,0.551,0.56,0.563,0.558,0.544,0.525,0.501,0.477,0.459,0.446,0.437,0.427,0.412,0.391,0.366,0.34,0.316,0.297,0.286,0.286,0.292,0.299,0.298,0.291,0.278,0.266,0.257,0.259,0.278,0.316,0.363,0.402,0.418,0.408,0.379,0.342,0.304,0.265,0.224,0.185,0.151,0.129,0.124,0.144,0.191,0.26,0.331,0.38,0.398,0.391,0.371,0.351,0.335,0.324,0.318,0.315,0.315,0.319,0.333,0.36,0.403,0.457,0.507,0.542,0.552,0.542,0.517,0.49,0.467,0.455,0.453,0.458,0.465,0.471,0.475,0.483,0.497,0.516,0.535,0.547,0.55,0.548,0.547,0.549,0.55,0.543,0.522,0.49,0.462,0.455,0.479,0.533,0.602,0.663,0.694,0.692,0.663,0.624,0.585,0.549,0.518,0.488,0.461,0.437,0.42,0.416,0.427,0.452,0.479,0.495,0.494,0.479,0.457,0.431,0.404,0.38,0.361,0.35,0.347,0.352,0.368,0.398,0.446,0.512,0.582,0.638,0.667,0.667,0.648,0.623,0.596,0.563,0.527,0.491,0.463,0.446,0.442,0.451,0.469,0.488,0.499,0.496,0.48,0.456,0.427,0.394,0.358,0.32,0.284,0.252,0.226,0.211,0.224,0.275,0.367,0.476,0.569,0.621,0.63,0.612,0.587,0.565,0.551,0.535,0.512,0.48,0.444,0.415,0.408,0.427,0.471,0.522,0.56,0.575,0.568,0.545,0.515,0.485,0.464,0.454,0.455,0.46,0.464,0.463,0.463,0.47,0.487,0.515,0.546,0.571,0.584,0.581,0.566,0.542,0.52,0.504,0.497,0.494,0.494,0.495,0.5,0.508,0.515,0.518,0.52,0.524,0.532,0.541,0.545,0.541,0.526,0.506,0.483,0.463,0.451,0.452,0.47,0.505,0.544,0.573,0.582,0.574,0.559,0.54,0.516,0.484,0.445,0.408,0.377,0.358,0.348,0.349,0.361,0.383,0.412,0.439,0.458,0.466,0.462,0.446,0.42,0.39,0.364,0.345,0.335,0.334,0.344,0.369,0.409,0.459,0.508,0.541,0.553,0.546,0.525,0.496,0.461,0.422,0.385,0.358,0.342,0.334,0.33,0.326,0.322,0.32,0.317,0.312,0.302,0.285,0.262,0.23,0.192,0.153,0.119,0.095,0.087,0.103,0.149,0.225,0.31,0.38,0.414,0.415,0.394,0.364,0.33,0.287,0.238,0.189,0.147,0.116,0.098,0.088,0.084]