[0.109,0.125,0.156,0.185,0.2,0.202,0.194,0.184,0.174,0.164,0.152,0.14,0.129,0.121,0.118,0.12,0.128,0.14,0.155,0.169,0.18,0.183,0.179,0.169,0.16,0.152,0.147,0.145,0.145,0.147,0.155,0.167,0.181,0.191,0.191,0.18,0.162,0.145,0.134,0.127,0.12,0.112,0.103,0.096,0.093,0.095,0.099,0.104,0.109,0.116,0.125,0.136,0.144,0.145,0.142,0.138,0.138,0.141,0.144,0.146,0.144,0.142,0.143,0.148,0.153,0.154,0.15,0.141,0.132,0.123,0.116,0.108,0.101,0.093,0.086,0.081,0.077,0.074,0.07,0.067,0.068,0.074,0.083,0.093,0.099,0.102,0.104,0.104,0.103,0.098,0.091,0.085,0.083,0.085,0.092,0.101,0.106,0.104,0.096,0.087,0.078,0.072,0.069,0.067,0.066,0.065,0.063,0.061,0.06,0.062,0.065,0.07,0.08,0.096,0.117,0.139,0.155,0.159,0.15,0.135,0.12,0.11,0.108,0.118,0.139,0.171,0.201,0.221,0.226,0.221,0.211,0.202,0.194,0.185,0.176,0.165,0.153,0.14,0.127,0.114,0.1,0.089,0.087,0.095,0.109,0.122,0.127,0.122,0.11,0.097,0.082,0.066,0.055,0.054,0.07,0.105,0.151,0.195,0.227,0.25,0.27,0.29,0.306,0.314,0.315,0.308,0.293,0.273,0.253,0.239,0.228,0.221,0.222,0.239,0.268,0.294,0.301,0.284,0.256,0.23,0.212,0.192,0.165,0.134,0.112,0.114,0.143,0.192,0.241,0.27,0.271,0.252,0.228,0.208,0.197,0.189,0.18,0.166,0.15,0.135,0.123,0.114,0.107,0.101,0.101,0.111,0.128,0.149,0.168,0.189,0.221,0.269,0.321,0.355,0.359,0.341,0.324,0.327,0.349,0.367,0.355,0.311,0.253,0.206,0.183,0.183,0.195,0.208,0.213,0.207,0.19,0.165,0.144,0.132,0.131,0.138,0.15,0.164,0.175,0.176,0.169,0.154,0.14,0.128,0.124,0.132,0.159,0.201,0.25,0.295,0.328,0.344,0.338,0.307,0.261,0.214,0.18,0.16,0.146,0.132,0.115,0.098,0.085,0.075,0.066,0.061,0.06,0.07,0.089,0.11,0.123,0.123,0.113,0.104,0.097,0.095,0.095,0.1,0.111,0.134,0.167,0.205,0.232,0.24,0.23,0.218,0.223,0.257,0.314,0.379,0.431,0.457,0.459,0.45,0.44,0.439,0.448,0.464,0.48,0.489,0.481,0.45,0.4,0.342,0.289,0.248,0.225,0.222,0.241,0.275,0.311,0.333,0.336,0.316,0.281,0.237,0.198,0.169,0.153,0.146,0.141,0.132,0.119,0.105,0.093,0.085,0.083,0.088,0.106,0.143,0.198,0.26,0.308,0.33,0.328,0.315,0.306,0.306,0.306,0.297,0.275,0.249,0.237,0.249,0.276,0.296,0.295,0.272,0.241,0.218,0.208,0.208,0.213,0.217,0.217,0.211,0.195,0.169,0.139,0.114,0.104,0.11,0.127,0.142,0.146,0.138,0.123,0.107,0.092,0.083,0.084,0.098,0.127,0.163,0.198,0.219,0.223,0.214,0.203,0.197,0.195,0.195,0.19,0.175,0.152,0.124,0.098,0.077,0.063,0.055,0.053,0.058,0.068,0.083,0.098,0.11,0.118,0.121,0.124,0.127,0.131,0.134,0.141,0.159,0.2,0.264,0.339,0.403,0.439,0.447,0.441,0.432,0.423,0.412,0.398,0.383,0.369,0.365,0.376,0.403,0.433,0.452,0.448,0.431,0.416,0.415,0.422,0.428,0.424,0.415,0.403,0.39,0.371,0.342,0.308,0.285,0.29,0.325,0.371,0.402,0.407,0.394,0.378,0.362,0.345,0.32,0.288,0.256,0.235,0.237,0.268,0.317,0.363,0.383,0.375,0.356,0.34,0.329,0.314,0.293,0.279,0.278,0.284,0.284,0.273,0.259,0.261,0.292,0.347,0.4,0.428,0.423,0.396,0.362,0.333,0.31,0.291,0.274,0.258,0.248,0.254,0.282,0.326,0.367,0.386,0.378,0.356,0.338,0.326,0.309,0.279,0.243,0.215,0.209,0.22,0.24,0.258,0.274,0.296,0.329,0.359,0.37,0.356,0.327,0.297,0.275,0.26,0.249,0.237,0.226,0.222,0.238,0.278,0.334,0.383,0.405,0.394,0.366,0.339,0.322,0.304,0.276,0.238,0.203,0.186,0.19,0.213,0.248,0.29,0.336,0.381,0.421,0.444,0.447,0.432,0.413,0.4,0.401,0.414,0.433,0.447,0.453,0.454,0.456,0.463,0.474,0.485,0.493,0.496,0.492,0.479,0.447,0.399,0.342,0.293,0.264,0.258,0.272,0.299,0.33,0.365,0.4,0.428,0.439,0.426,0.396,0.365,0.341,0.326,0.312,0.293,0.272,0.255,0.253,0.273,0.317,0.371,0.411,0.417,0.397,0.376,0.376,0.396,0.415,0.419,0.409,0.394,0.38,0.363,0.341,0.318,0.307,0.316,0.345,0.375,0.386,0.373,0.345,0.321,0.307,0.301,0.294,0.279,0.261,0.25,0.259,0.291,0.339,0.382,0.401,0.399,0.391,0.396,0.411,0.423,0.414,0.381,0.331,0.278,0.234,0.209,0.203,0.222,0.26,0.31,0.346,0.35,0.319,0.269,0.225,0.207,0.217,0.248,0.277,0.29,0.285,0.282,0.299,0.338,0.377,0.39,0.37,0.337,0.315,0.308,0.305,0.291,0.264,0.227,0.186,0.144,0.111,0.097,0.116,0.171,0.254,0.338,0.396,0.416,0.406,0.382,0.361,0.347,0.338,0.33,0.323,0.318,0.324,0.343,0.374,0.402,0.416,0.408,0.392,0.381,0.382,0.382,0.372,0.349,0.322,0.297,0.283,0.283,0.303,0.341,0.389,0.434,0.464,0.473,0.462,0.439,0.415,0.398,0.389,0.385,0.377,0.363,0.347,0.34,0.349,0.379,0.416,0.441,0.439,0.416,0.389,0.371,0.355,0.329,0.288,0.242,0.208,0.195,0.203,0.229,0.266,0.31,0.355,0.393,0.413,0.407,0.38,0.346,0.321,0.312,0.317,0.326,0.329,0.321,0.311,0.311,0.33,0.362,0.39,0.399,0.39,0.378,0.377,0.381,0.38,0.368,0.358,0.355,0.357,0.354,0.345,0.334,0.336,0.359,0.398,0.433,0.447,0.436,0.413,0.395,0.391,0.396,0.399,0.393,0.376,0.359,0.353,0.365,0.389,0.41,0.415,0.405,0.388,0.374,0.363,0.353,0.339,0.323,0.303,0.288,0.287,0.308,0.345,0.385,0.415,0.429,0.422,0.397,0.36,0.322,0.293,0.278,0.272,0.267,0.258,0.243,0.23,0.232,0.257,0.302,0.348,0.379,0.386,0.382,0.379,0.385,0.392,0.391,0.377,0.353,0.324,0.304,0.305,0.331,0.378,0.428,0.465,0.476,0.46,0.423,0.378,0.34,0.314,0.298,0.286,0.273,0.258,0.244,0.244,0.261,0.299,0.342,0.376,0.387,0.38,0.368,0.36,0.35,0.328,0.293,0.254,0.224,0.214,0.228,0.263,0.313,0.367,0.417,0.453,0.469,0.459,0.431,0.395,0.362,0.341,0.33,0.325,0.318,0.308,0.305,0.315,0.345,0.383,0.415,0.426,0.42,0.406,0.396,0.388,0.376,0.357,0.337,0.323,0.319,0.325,0.339,0.358,0.383,0.416,0.449,0.468,0.46,0.428,0.387,0.353,0.331,0.317,0.301,0.279,0.257,0.246,0.253,0.281,0.32,0.354,0.367,0.363,0.355,0.359,0.371,0.384,0.388,0.386,0.381,0.377,0.372,0.364,0.354,0.354,0.374,0.417,0.46,0.48,0.467,0.435,0.402,0.383,0.372,0.359,0.338,0.313,0.294,0.292,0.309,0.341,0.374,0.393,0.395,0.385,0.374,0.362,0.343,0.314,0.281,0.251,0.23,0.225,0.24,0.274,0.319,0.367,0.409,0.434,0.435,0.414,0.382,0.353,0.335,0.325,0.318,0.306,0.295,0.29,0.302,0.335,0.383,0.428,0.452,0.447,0.425,0.402,0.391,0.383,0.365,0.332,0.29,0.249,0.221,0.216,0.236,0.276,0.327,0.374,0.405,0.409,0.389,0.356,0.325,0.305,0.295,0.291,0.286,0.279,0.273,0.277,0.295,0.325,0.357,0.377,0.379,0.37,0.36,0.358,0.355,0.34,0.31,0.273,0.237,0.213,0.207,0.226,0.272,0.339,0.411,0.471,0.496,0.483,0.439,0.386,0.342,0.315,0.3,0.288,0.276,0.268,0.276,0.302,0.346,0.392,0.425,0.431,0.417,0.394,0.379,0.366,0.348,0.319,0.286,0.254,0.232,0.222,0.225,0.236,0.26,0.296,0.344,0.385,0.403,0.389,0.359,0.331,0.316,0.309,0.302,0.288,0.269,0.255,0.258,0.28,0.317,0.355,0.382,0.398,0.411,0.425,0.434,0.434,0.424,0.411,0.394,0.374,0.355,0.344,0.349,0.373,0.413,0.461,0.498,0.507,0.482,0.438,0.395,0.368,0.353,0.343,0.326,0.302,0.28,0.275,0.297,0.344,0.396,0.428,0.431,0.417,0.405,0.401,0.391,0.36,0.308,0.248,0.199,0.172,0.174,0.205,0.258,0.322,0.38,0.419,0.43,0.414,0.386,0.359,0.341,0.333,0.328,0.319,0.304,0.287,0.278,0.285,0.308,0.335,0.353,0.357,0.356,0.361,0.375,0.384,0.376,0.35,0.318,0.287,0.256,0.224,0.198,0.192,0.215,0.26,0.3,0.303,0.259,0.187,0.118,0.072,0.051,0.044,0.042,0.039,0.035,0.031,0.027,0.025,0.024,0.027,0.037,0.056,0.083,0.111,0.132,0.137,0.129,0.113,0.096,0.08,0.069,0.064,0.067,0.073,0.079,0.078,0.071,0.063,0.061,0.067,0.079,0.09,0.092,0.084,0.071,0.06,0.059,0.066,0.078,0.092,0.104,0.113,0.12,0.125,0.13,0.134,0.136,0.137,0.137,0.138,0.138,0.137,0.14,0.151,0.183,0.245,0.331,0.417,0.476,0.496,0.49,0.482,0.483,0.494,0.507,0.511,0.504,0.487,0.473,0.472,0.489,0.514,0.533,0.532,0.518,0.502,0.489,0.47,0.437,0.389,0.34,0.31,0.311,0.352,0.423,0.502,0.561,0.586,0.574,0.54,0.499,0.465,0.442,0.431,0.429,0.43,0.428,0.418,0.405,0.402,0.421,0.466,0.518,0.555,0.558,0.537,0.515,0.506,0.501,0.481,0.438,0.387,0.349,0.34,0.364,0.413,0.476,0.539,0.59,0.62,0.624,0.601,0.562,0.523,0.497,0.486,0.485,0.484,0.48,0.475,0.475,0.486,0.511,0.54,0.561,0.558,0.536,0.509,0.492,0.48,0.461,0.426,0.383,0.347,0.328,0.326,0.342,0.373,0.421,0.482,0.548,0.597,0.613,0.592,0.551,0.511,0.484,0.469,0.459,0.452,0.447,0.447,0.463,0.5,0.554,0.604,0.625,0.61,0.57,0.53,0.496,0.465,0.427,0.388,0.357,0.346,0.355,0.375,0.391,0.401,0.415,0.444,0.482,0.511,0.516,0.505,0.492,0.492,0.5,0.509,0.509,0.497,0.477,0.464,0.468,0.492,0.525,0.546,0.542,0.521,0.498,0.482,0.466,0.443,0.411,0.38,0.36,0.36,0.387,0.438,0.502,0.559,0.591,0.591,0.566,0.533,0.508,0.494,0.49,0.49,0.488,0.483,0.475,0.469,0.475,0.499,0.538,0.573,0.586,0.567,0.53,0.496,0.477,0.461,0.431,0.381,0.321,0.271,0.248,0.265,0.321,0.401,0.482,0.547,0.588,0.603,0.595,0.569,0.536,0.508,0.492,0.487,0.486,0.488,0.489,0.497,0.517,0.551,0.593,0.628,0.638,0.625,0.604,0.585,0.564,0.528,0.476,0.422,0.383,0.374,0.398,0.451,0.513,0.562,0.576,0.545,0.468,0.363,0.252,0.163,0.107,0.079,0.069,0.065,0.067,0.08,0.111,0.157,0.204,0.236,0.24,0.22,0.188,0.157,0.132,0.117,0.114,0.127,0.154,0.184,0.205,0.206,0.189,0.16,0.129,0.103,0.087,0.081,0.085,0.093,0.104,0.115,0.124,0.13,0.131,0.126,0.115,0.1,0.082,0.066,0.051,0.04,0.032,0.029,0.03,0.036,0.044,0.052,0.058,0.062,0.063,0.059,0.051,0.044,0.039,0.04,0.047,0.058,0.069,0.076,0.077,0.074,0.072,0.071,0.072,0.074,0.072,0.066,0.056,0.047,0.04,0.037,0.036,0.038,0.041,0.046,0.052,0.06,0.066,0.071,0.072,0.072,0.07,0.066,0.061,0.057,0.057,0.064,0.077,0.092,0.102,0.105,0.1,0.092,0.086,0.083,0.08,0.076,0.068,0.059,0.051,0.045,0.041,0.039,0.039,0.039,0.042,0.048,0.054,0.057,0.057,0.055,0.053,0.05,0.047,0.043,0.042,0.045,0.053,0.065,0.08,0.091,0.094,0.089,0.082,0.078,0.078,0.079,0.077,0.071,0.063,0.062,0.074,0.102,0.14,0.175,0.198,0.207,0.208,0.208,0.205,0.193,0.171,0.143,0.118,0.103,0.095,0.089,0.086,0.104,0.161,0.258,0.369,0.459,0.505,0.516,0.51,0.502,0.495,0.484,0.465,0.44,0.417,0.408,0.42,0.452,0.49,0.517,0.519,0.504,0.485,0.475,0.466,0.451,0.429,0.406,0.392,0.39,0.403,0.431,0.474,0.529,0.587,0.632,0.648,0.632,0.595,0.556,0.529,0.518,0.514,0.508,0.497,0.484,0.48,0.493,0.526,0.568,0.601,0.609,0.593,0.568,0.549,0.532,0.506,0.463,0.414,0.372,0.349,0.351,0.379,0.429,0.489,0.544,0.577,0.579,0.549,0.501,0.453,0.421,0.406,0.399,0.388,0.369,0.346,0.333,0.34,0.374,0.429,0.485,0.519,0.525,0.514,0.5,0.486,0.466,0.432,0.39,0.345,0.307,0.283,0.278,0.296,0.34,0.406,0.486,0.56,0.606,0.617,0.602,0.581,0.568,0.562,0.557,0.546,0.531,0.518,0.515,0.531,0.567,0.613,0.647,0.655,0.639,0.614,0.589,0.562,0.524,0.475,0.427,0.397,0.393,0.41,0.432,0.452,0.471,0.497,0.527,0.546,0.545,0.528,0.509,0.496,0.491,0.487,0.478,0.465,0.453,0.453,0.469,0.501,0.534,0.555,0.554,0.544,0.541,0.553,0.561,0.546,0.503,0.448,0.403,0.383,0.394,0.434,0.492,0.557,0.612,0.648,0.655,0.637,0.606,0.577,0.562,0.56,0.564,0.565,0.56,0.552,0.549,0.557,0.583,0.624,0.666,0.69,0.69,0.676,0.661,0.646,0.619,0.575,0.524,0.48,0.456,0.453,0.474,0.513,0.565,0.62,0.664,0.682,0.669,0.632,0.59,0.558,0.54,0.529,0.514,0.489,0.458,0.434,0.429,0.454,0.503,0.556,0.589,0.588,0.564,0.537,0.516,0.494,0.46,0.416,0.371,0.336,0.314,0.308,0.318,0.348,0.396,0.444,0.457,0.413,0.317,0.205,0.116,0.066,0.048,0.044,0.044,0.041,0.037,0.033,0.031,0.03,0.029,0.027,0.024,0.02,0.016,0.014,0.015,0.019,0.027,0.038,0.047,0.053,0.056,0.058,0.06,0.063,0.066,0.068,0.068,0.066,0.065,0.063,0.06,0.055,0.048,0.043,0.042,0.047,0.056,0.064,0.07,0.073,0.075,0.077,0.077,0.078,0.081,0.084,0.086,0.087,0.089,0.091,0.094,0.095,0.098,0.115,0.162,0.244,0.346,0.434,0.482,0.487,0.469,0.452,0.446,0.448,0.447,0.439,0.428,0.424,0.438,0.473,0.52,0.56,0.575,0.564,0.54,0.52,0.503,0.478,0.439,0.393,0.354,0.336,0.345,0.382,0.44,0.508,0.57,0.615,0.633,0.625,0.599,0.575,0.559,0.553,0.549,0.541,0.529,0.515,0.506,0.507,0.524,0.559,0.6,0.627,0.63,0.614,0.595,0.58,0.563,0.538,0.507,0.479,0.46,0.456,0.47,0.503,0.552,0.603,0.641,0.653,0.634,0.592,0.548,0.518,0.507,0.507,0.507,0.496,0.474,0.447,0.43,0.435,0.468,0.516,0.559,0.577,0.569,0.548,0.532,0.515,0.489,0.449,0.406,0.376,0.372,0.394,0.439,0.499,0.566,0.628,0.674,0.691,0.677,0.64,0.599,0.57,0.553,0.544,0.535,0.525,0.518,0.521,0.539,0.572,0.613,0.646,0.655,0.64,0.617,0.599,0.585,0.561,0.522,0.477,0.445,0.438,0.451,0.475,0.495,0.503,0.495,0.467,0.416,0.345,0.268,0.206,0.168,0.15,0.14,0.128,0.115,0.108,0.115,0.142,0.188,0.239,0.276,0.285,0.273,0.257,0.249,0.243,0.227,0.197,0.162,0.133,0.114,0.103,0.099,0.104,0.125,0.161,0.203,0.23,0.228,0.201,0.168,0.143,0.134,0.134,0.137,0.136,0.131,0.13,0.143,0.177,0.226,0.268,0.288,0.28,0.262,0.25,0.25,0.254,0.254,0.248,0.237,0.218,0.187,0.151,0.124,0.125,0.161,0.221,0.274,0.294,0.275,0.236,0.198,0.175,0.166,0.164,0.163,0.161,0.162,0.179,0.217,0.275,0.33,0.36,0.352,0.324,0.296,0.283,0.27,0.246,0.204,0.159,0.123,0.103,0.093,0.094,0.111,0.146,0.195,0.234,0.243,0.214,0.165,0.121,0.097,0.093,0.098,0.101,0.1,0.102,0.119,0.162,0.23,0.306,0.365,0.39,0.393,0.387,0.383,0.37,0.341,0.296,0.256,0.238,0.246,0.27,0.293,0.3,0.295,0.288,0.291,0.292,0.276,0.239,0.195,0.162,0.146,0.141,0.139,0.135,0.133,0.143,0.175,0.233,0.303,0.356,0.372,0.353,0.322,0.299,0.285,0.264,0.227,0.181,0.14,0.113,0.097,0.09,0.094,0.119,0.165,0.223,0.266,0.275,0.25,0.214,0.189,0.186,0.2,0.216,0.223,0.224,0.227,0.25,0.297,0.363,0.422,0.453,0.447,0.42,0.392,0.372,0.35,0.314,0.261,0.203,0.149,0.106,0.077,0.066,0.081,0.124,0.189,0.25,0.282,0.278,0.25,0.218,0.197,0.188,0.185,0.181,0.176,0.174,0.189,0.228,0.289,0.348,0.385,0.384,0.361,0.337,0.328,0.32,0.3,0.262,0.217,0.178,0.149,0.128,0.118,0.126,0.158,0.208,0.256,0.274,0.252,0.204,0.157,0.131,0.125,0.131,0.136,0.138,0.141,0.157,0.196,0.259,0.329,0.376,0.383,0.359,0.326,0.304,0.286,0.258,0.215,0.169,0.141,0.142,0.17,0.209,0.236,0.248,0.251,0.256,0.253,0.231,0.185,0.133,0.091,0.068,0.06,0.06,0.065,0.074,0.084,0.092,0.094,0.093,0.092,0.094,0.096,0.097,0.095,0.094,0.093,0.094,0.092,0.086,0.075,0.061,0.049,0.041,0.038,0.04,0.045,0.05,0.055,0.057,0.056,0.051,0.044,0.038,0.034,0.033,0.033,0.035,0.037,0.041,0.047,0.058,0.072,0.083,0.09,0.089,0.085,0.079,0.073,0.068,0.066,0.066,0.069,0.073,0.077,0.078,0.075,0.068,0.059,0.051,0.045,0.04,0.037,0.035,0.034,0.034,0.034,0.033,0.032,0.031,0.029,0.027,0.026,0.027,0.029,0.036,0.047,0.059,0.068,0.071,0.068,0.063,0.061,0.06,0.058,0.053,0.045,0.039,0.036,0.037,0.041,0.044,0.044,0.042,0.039,0.035,0.032,0.03,0.027,0.024,0.022,0.02,0.019,0.02,0.024,0.031,0.038,0.042,0.041,0.036,0.029,0.021,0.015,0.01,0.008,0.007,0.009,0.021,0.056,0.122,0.21,0.295,0.35,0.365,0.357,0.348,0.352,0.367,0.379,0.382,0.374,0.363,0.361,0.372,0.397,0.425,0.447,0.451,0.443,0.43,0.421,0.409,0.386,0.35,0.312,0.279,0.254,0.235,0.225,0.231,0.266,0.332,0.417,0.498,0.552,0.577,0.581,0.581,0.582,0.586,0.589,0.594,0.599,0.604,0.608,0.61,0.607,0.595,0.574,0.549,0.529,0.516,0.498,0.466,0.42,0.376,0.348,0.352,0.388,0.454,0.533,0.603,0.641,0.637,0.593,0.523,0.448,0.39,0.359,0.352,0.358,0.362,0.36,0.352,0.345,0.348,0.366,0.399,0.433,0.453,0.454,0.441,0.428,0.418,0.404,0.381,0.352,0.324,0.3,0.282,0.27,0.27,0.291,0.337,0.402,0.463,0.497,0.494,0.47,0.447,0.438,0.443,0.451,0.452,0.443,0.429,0.418,0.418,0.431,0.448,0.46,0.454,0.44,0.425,0.419,0.41,0.388,0.35,0.308,0.279,0.274,0.289,0.312,0.333,0.344,0.347,0.338,0.307,0.253,0.188,0.131,0.092,0.07,0.06,0.053,0.048,0.044,0.041,0.038,0.036,0.034,0.032,0.03,0.029,0.029,0.03,0.032,0.033,0.033,0.031,0.027,0.023,0.019,0.016,0.015,0.015,0.014]