[0.181,0.191,0.211,0.229,0.24,0.245,0.25,0.258,0.268,0.277,0.281,0.28,0.273,0.259,0.234,0.197,0.153,0.11,0.075,0.051,0.036,0.027,0.02,0.015,0.011,0.008,0.01,0.02,0.044,0.084,0.13,0.17,0.193,0.198,0.196,0.199,0.212,0.233,0.256,0.272,0.278,0.273,0.259,0.235,0.203,0.163,0.123,0.088,0.069,0.067,0.086,0.117,0.148,0.163,0.154,0.127,0.099,0.088,0.101,0.135,0.175,0.207,0.222,0.225,0.225,0.231,0.246,0.265,0.282,0.291,0.289,0.277,0.258,0.228,0.188,0.14,0.096,0.063,0.042,0.03,0.022,0.016,0.014,0.022,0.049,0.105,0.19,0.287,0.371,0.423,0.442,0.438,0.43,0.428,0.434,0.445,0.456,0.466,0.474,0.478,0.477,0.471,0.462,0.453,0.444,0.432,0.416,0.396,0.375,0.355,0.335,0.315,0.299,0.289,0.287,0.293,0.308,0.33,0.354,0.37,0.373,0.364,0.35,0.341,0.34,0.344,0.349,0.353,0.358,0.365,0.37,0.369,0.361,0.348,0.335,0.323,0.314,0.309,0.31,0.312,0.311,0.302,0.287,0.273,0.271,0.286,0.314,0.345,0.37,0.387,0.397,0.403,0.409,0.411,0.408,0.398,0.385,0.372,0.36,0.343,0.314,0.269,0.214,0.157,0.11,0.078,0.064,0.068,0.087,0.114,0.136,0.144,0.134,0.114,0.1,0.103,0.126,0.156,0.18,0.189,0.185,0.176,0.173,0.181,0.196,0.213,0.225,0.232,0.233,0.23,0.218,0.196,0.163,0.125,0.092,0.071,0.065,0.075,0.094,0.111,0.117,0.107,0.089,0.076,0.077,0.093,0.116,0.133,0.136,0.127,0.113,0.107,0.113,0.132,0.152,0.165,0.17,0.172,0.173,0.172,0.168,0.161,0.156,0.155,0.16,0.172,0.193,0.227,0.274,0.324,0.362,0.379,0.379,0.376,0.387,0.416,0.45,0.473,0.478,0.474,0.473,0.481,0.491,0.49,0.475,0.45,0.428,0.418,0.421,0.426,0.424,0.414,0.411,0.425,0.454,0.479,0.479,0.45,0.399,0.34,0.29,0.265,0.273,0.312,0.368,0.423,0.457,0.459,0.438,0.41,0.395,0.397,0.407,0.409,0.395,0.371,0.35,0.34,0.339,0.342,0.345,0.358,0.392,0.449,0.507,0.542,0.539,0.505,0.458,0.414,0.386,0.385,0.414,0.465,0.512,0.529,0.505,0.452,0.399,0.366,0.357,0.357,0.349,0.329,0.3,0.276,0.262,0.251,0.235,0.218,0.219,0.254,0.324,0.397,0.441,0.439,0.4,0.337,0.27,0.213,0.188,0.211,0.279,0.372,0.453,0.494,0.49,0.46,0.427,0.406,0.392,0.375,0.348,0.314,0.283,0.26,0.245,0.236,0.239,0.267,0.326,0.402,0.47,0.509,0.518,0.511,0.504,0.505,0.512,0.523,0.535,0.549,0.56,0.559,0.538,0.496,0.448,0.411,0.398,0.405,0.422,0.433,0.429,0.411,0.389,0.38,0.392,0.422,0.457,0.483,0.496,0.502,0.501,0.494,0.479,0.461,0.445,0.436,0.437,0.449,0.476,0.511,0.546,0.562,0.55,0.512,0.462,0.417,0.391,0.383,0.388,0.4,0.417,0.439,0.458,0.466,0.456,0.431,0.409,0.405,0.425,0.453,0.471,0.468,0.454,0.436,0.423,0.417,0.424,0.449,0.49,0.533,0.556,0.547,0.509,0.462,0.43,0.423,0.432,0.439,0.428,0.398,0.362,0.333,0.314,0.296,0.271,0.248,0.248,0.285,0.352,0.417,0.455,0.455,0.426,0.379,0.329,0.291,0.284,0.316,0.374,0.433,0.464,0.459,0.432,0.405,0.391,0.384,0.374,0.348,0.31,0.269,0.238,0.218,0.208,0.208,0.224,0.265,0.329,0.4,0.455,0.486,0.497,0.506,0.518,0.533,0.541,0.539,0.527,0.506,0.479,0.45,0.418,0.386,0.36,0.348,0.357,0.381,0.408,0.425,0.429,0.424,0.416,0.406,0.386,0.353,0.315,0.284,0.272,0.282,0.302,0.323,0.341,0.356,0.369,0.375,0.367,0.345,0.317,0.299,0.304,0.332,0.373,0.407,0.42,0.402,0.356,0.3,0.259,0.251,0.28,0.327,0.371,0.401,0.421,0.442,0.464,0.475,0.463,0.43,0.389,0.356,0.34,0.335,0.334,0.331,0.327,0.326,0.337,0.36,0.388,0.405,0.402,0.383,0.363,0.352,0.353,0.365,0.381,0.397,0.406,0.402,0.387,0.369,0.359,0.353,0.341,0.314,0.276,0.245,0.236,0.254,0.291,0.334,0.37,0.394,0.404,0.406,0.403,0.397,0.391,0.385,0.38,0.377,0.372,0.365,0.356,0.344,0.329,0.309,0.289,0.273,0.263,0.256,0.241,0.215,0.182,0.156,0.15,0.17,0.215,0.275,0.334,0.381,0.411,0.428,0.438,0.443,0.444,0.44,0.435,0.433,0.437,0.445,0.447,0.438,0.419,0.401,0.394,0.399,0.412,0.424,0.434,0.44,0.442,0.437,0.425,0.407,0.39,0.377,0.373,0.374,0.377,0.377,0.371,0.359,0.344,0.33,0.317,0.309,0.309,0.318,0.335,0.352,0.362,0.359,0.351,0.347,0.355,0.371,0.387,0.389,0.375,0.351,0.327,0.317,0.326,0.352,0.384,0.411,0.425,0.431,0.437,0.448,0.462,0.474,0.479,0.472,0.455,0.435,0.424,0.424,0.43,0.434,0.431,0.425,0.419,0.416,0.413,0.409,0.404,0.401,0.406,0.422,0.449,0.484,0.522,0.557,0.583,0.595,0.59,0.566,0.527,0.482,0.444,0.419,0.407,0.402,0.401,0.402,0.405,0.408,0.409,0.41,0.41,0.408,0.402,0.387,0.362,0.33,0.298,0.275,0.273,0.293,0.334,0.382,0.422,0.444,0.448,0.439,0.428,0.421,0.422,0.437,0.467,0.508,0.544,0.562,0.558,0.54,0.518,0.495,0.466,0.43,0.39,0.362,0.355,0.367,0.384,0.392,0.392,0.395,0.413,0.447,0.482,0.503,0.504,0.489,0.466,0.441,0.419,0.41,0.426,0.468,0.519,0.554,0.557,0.531,0.491,0.456,0.434,0.424,0.419,0.412,0.401,0.388,0.379,0.375,0.374,0.377,0.39,0.418,0.459,0.501,0.528,0.529,0.507,0.472,0.442,0.431,0.445,0.483,0.531,0.574,0.596,0.589,0.558,0.52,0.493,0.483,0.486,0.493,0.497,0.497,0.494,0.489,0.482,0.474,0.47,0.473,0.49,0.522,0.559,0.585,0.586,0.562,0.52,0.474,0.431,0.398,0.383,0.393,0.429,0.476,0.514,0.527,0.516,0.499,0.486,0.479,0.464,0.43,0.381,0.328,0.291,0.279,0.291,0.312,0.33,0.335,0.329,0.317,0.305,0.302,0.31,0.333,0.363,0.388,0.399,0.4,0.403,0.425,0.466,0.514,0.548,0.561,0.558,0.549,0.542,0.541,0.543,0.547,0.549,0.548,0.547,0.547,0.55,0.554,0.56,0.571,0.585,0.596,0.598,0.59,0.578,0.567,0.557,0.547,0.539,0.539,0.556,0.585,0.616,0.63,0.62,0.59,0.557,0.535,0.532,0.537,0.542,0.538,0.529,0.523,0.523,0.529,0.536,0.545,0.558,0.571,0.582,0.582,0.574,0.565,0.561,0.559,0.556,0.549,0.547,0.558,0.582,0.612,0.633,0.637,0.622,0.6,0.578,0.563,0.554,0.548,0.545,0.547,0.556,0.57,0.584,0.593,0.595,0.597,0.605,0.617,0.627,0.63,0.626,0.617,0.606,0.597,0.594,0.6,0.615,0.633,0.644,0.64,0.615,0.579,0.545,0.526,0.525,0.532,0.536,0.533,0.522,0.509,0.495,0.483,0.473,0.47,0.476,0.496,0.521,0.541,0.545,0.535,0.52,0.506,0.491,0.47,0.447,0.437,0.451,0.491,0.541,0.578,0.59,0.579,0.562,0.552,0.554,0.565,0.575,0.581,0.584,0.586,0.59,0.594,0.595,0.594,0.594,0.599,0.607,0.614,0.614,0.611,0.608,0.603,0.594,0.577,0.561,0.557,0.57,0.589,0.599,0.59,0.566,0.542,0.53,0.535,0.551,0.566,0.572,0.57,0.564,0.565,0.579,0.603,0.63,0.65,0.659,0.658,0.649,0.634,0.614,0.592,0.571,0.552,0.539,0.532,0.534,0.546,0.565,0.584,0.595,0.598,0.593,0.586,0.582,0.58,0.579,0.58,0.58,0.578,0.576,0.574,0.574,0.576,0.58,0.591,0.606,0.62,0.624,0.618,0.603,0.587,0.574,0.568,0.571,0.583,0.601,0.617,0.624,0.615,0.595,0.57,0.55,0.54,0.54,0.546,0.552,0.556,0.557,0.557,0.557,0.556,0.554,0.555,0.565,0.586,0.612,0.626,0.616,0.577,0.519,0.453,0.394,0.352,0.333,0.33,0.335,0.34,0.347,0.353,0.354,0.35,0.343,0.338,0.337,0.343,0.351,0.358,0.361,0.36,0.358,0.353,0.338,0.313,0.283,0.255,0.237,0.229,0.232,0.244,0.261,0.276,0.28,0.271,0.258,0.253,0.261,0.281,0.304,0.319,0.32,0.308,0.293,0.281,0.277,0.279,0.283,0.284,0.276,0.257,0.225,0.186,0.15,0.128,0.124,0.135,0.151,0.166,0.181,0.2,0.226,0.255,0.281,0.309,0.345,0.392,0.435,0.448,0.424,0.37,0.313,0.268,0.246,0.24,0.245,0.252,0.258,0.266,0.281,0.303,0.326,0.342,0.346,0.337,0.32,0.302,0.295,0.304,0.326,0.349,0.36,0.358,0.353,0.355,0.373,0.398,0.417,0.416,0.396,0.371,0.358,0.37,0.402,0.438,0.456,0.448,0.417,0.389,0.38,0.397,0.426,0.447,0.445,0.423,0.398,0.384,0.387,0.399,0.408,0.409,0.402,0.396,0.401,0.425,0.467,0.512,0.541,0.542,0.521,0.497,0.484,0.48,0.473,0.45,0.411,0.37,0.343,0.337,0.348,0.37,0.4,0.439,0.483,0.52,0.534,0.522,0.489,0.449,0.41,0.381,0.362,0.361,0.383,0.428,0.485,0.531,0.551,0.544,0.526,0.514,0.51,0.502,0.476,0.433,0.39,0.368,0.375,0.408,0.447,0.483,0.515,0.55,0.588,0.619,0.627,0.604,0.555,0.497,0.449,0.424,0.431,0.463,0.507,0.546,0.569,0.575,0.569,0.559,0.552,0.545,0.531,0.499,0.449,0.394,0.357,0.354,0.385,0.436,0.484,0.52,0.546,0.567,0.585,0.589,0.574,0.539,0.494,0.448,0.41,0.386,0.385,0.412,0.46,0.512,0.545,0.553,0.542,0.529,0.521,0.514,0.496,0.46,0.418,0.391,0.396,0.43,0.473,0.506,0.526,0.546,0.573,0.607,0.633,0.64,0.624,0.594,0.555,0.514,0.473,0.437,0.415,0.418,0.447,0.492,0.532,0.554,0.557,0.55,0.535,0.512,0.477,0.438,0.401,0.371,0.349,0.334,0.322,0.308,0.288,0.261,0.238,0.229,0.238,0.259,0.275,0.277,0.264,0.245,0.236,0.244,0.277,0.331,0.394,0.444,0.467,0.463,0.446,0.43,0.418,0.401,0.376,0.34,0.301,0.268,0.246,0.237,0.238,0.239,0.237,0.237,0.247,0.275,0.314,0.347,0.362,0.354,0.33,0.302,0.285,0.296,0.347,0.434,0.529,0.603,0.638,0.641,0.627,0.602,0.561,0.496,0.413,0.33,0.266,0.225,0.202,0.183,0.166,0.163,0.194,0.267,0.366,0.458,0.508,0.497,0.428,0.328,0.236,0.192,0.219,0.313,0.439,0.549,0.614,0.632,0.624,0.608,0.589,0.556,0.497,0.414,0.324,0.248,0.2,0.18,0.182,0.206,0.255,0.337,0.441,0.542,0.612,0.635,0.621,0.591,0.568,0.567,0.586,0.616,0.646,0.671,0.688,0.694,0.686,0.666,0.645,0.626,0.606,0.577,0.533,0.479,0.425,0.383,0.356,0.348,0.355,0.373,0.401,0.438,0.483,0.527,0.56,0.566,0.543,0.495,0.44,0.398,0.388,0.42,0.485,0.562,0.624,0.655,0.656,0.642,0.625,0.603,0.57,0.523,0.469,0.426,0.405,0.404,0.408,0.403,0.385,0.368,0.374,0.417,0.486,0.552,0.587,0.575,0.523,0.454,0.398,0.378,0.405,0.473,0.557,0.63,0.67,0.676,0.659,0.638,0.618,0.594,0.556,0.501,0.436,0.377,0.337,0.315,0.299,0.274,0.244,0.232,0.265,0.348,0.45,0.528,0.55,0.512,0.433,0.347,0.285,0.274,0.321,0.409,0.507,0.58,0.614,0.617,0.607,0.593,0.571,0.527,0.455,0.365,0.279,0.217,0.187,0.185,0.203,0.244,0.313,0.411,0.517,0.603,0.646,0.647,0.627,0.605,0.597,0.601,0.61,0.614,0.601,0.567,0.513,0.45,0.389,0.344,0.323,0.325,0.343,0.365,0.379,0.381,0.372,0.354,0.33,0.303,0.277,0.258,0.249,0.251,0.259,0.268,0.275,0.281,0.289,0.298,0.306,0.305,0.294,0.276,0.26,0.256,0.269,0.293,0.321,0.338,0.335,0.308,0.266,0.226,0.206,0.213,0.242,0.279,0.311,0.335,0.357,0.378,0.395,0.401,0.395,0.384,0.376,0.373,0.373,0.368,0.357,0.339,0.322,0.314,0.323,0.344,0.368,0.382,0.381,0.367,0.352,0.341,0.337,0.34,0.345,0.349,0.348,0.342,0.334,0.329,0.328,0.324,0.311,0.289,0.263,0.243,0.234,0.234,0.241,0.25,0.258,0.263,0.266,0.268,0.27,0.271,0.27,0.267,0.266,0.268,0.269,0.267,0.258,0.244,0.225,0.205,0.188,0.173,0.158,0.141,0.122,0.103,0.09,0.09,0.109,0.15,0.209,0.274,0.332,0.374,0.394,0.394,0.379,0.356,0.329,0.305,0.291,0.291,0.304,0.323,0.334,0.332,0.32,0.307,0.304,0.312,0.327,0.342,0.355,0.365,0.37,0.362,0.342,0.317,0.299,0.297,0.309,0.322,0.327,0.319,0.304,0.291,0.285,0.287,0.291,0.292,0.292,0.297,0.309,0.325,0.338,0.343,0.343,0.346,0.353,0.363,0.37,0.366,0.349,0.322,0.297,0.287,0.3,0.331,0.366,0.389,0.398,0.399,0.404,0.415,0.429,0.437,0.435,0.422,0.405,0.396,0.399,0.413,0.428,0.436,0.433,0.426,0.418,0.414,0.412,0.413,0.416,0.421,0.43,0.442,0.457,0.473,0.487,0.494,0.496,0.493,0.487,0.481,0.48,0.487,0.502,0.522,0.541,0.557,0.567,0.574,0.579,0.581,0.581,0.578,0.57,0.557,0.54,0.519,0.497,0.475,0.451,0.426,0.4,0.376,0.355,0.34,0.332,0.328,0.325,0.319,0.309,0.299,0.291,0.286,0.283,0.282,0.281,0.281,0.281,0.28,0.278,0.275,0.27,0.263,0.255,0.244,0.227,0.204,0.174,0.149,0.141,0.164,0.219,0.294,0.367,0.418,0.441,0.443,0.436,0.429,0.426,0.431,0.448,0.479,0.516,0.545,0.556,0.548,0.529,0.51,0.494,0.48,0.457,0.428,0.403,0.397,0.41,0.429,0.435,0.43,0.426,0.442,0.482,0.529,0.564,0.571,0.554,0.522,0.486,0.459,0.455,0.484,0.539,0.6,0.64,0.646,0.624,0.592,0.566,0.549,0.538,0.523,0.5,0.469,0.437,0.412,0.397,0.393,0.403,0.428,0.466,0.511,0.547,0.561,0.548,0.514,0.471,0.436,0.421,0.433,0.469,0.519,0.566,0.594,0.598,0.587,0.577,0.573,0.573,0.567,0.552,0.529,0.504,0.482,0.466,0.455,0.449,0.449,0.457,0.479,0.515,0.558,0.594,0.611,0.603,0.575,0.533,0.486,0.449,0.433,0.447,0.484,0.526,0.548,0.542,0.515,0.485,0.462,0.444,0.421,0.383,0.333,0.285,0.256,0.255,0.279,0.312,0.34,0.352,0.348,0.332,0.313,0.301,0.307,0.335,0.375,0.411,0.431,0.445,0.468,0.508,0.555,0.592,0.609,0.61,0.605,0.6,0.597,0.594,0.59,0.585,0.577,0.568,0.561,0.558,0.56,0.569,0.586,0.608,0.626,0.628,0.613,0.589,0.569,0.559,0.556,0.553,0.553,0.56,0.579,0.6,0.613,0.609,0.592,0.573,0.563,0.564,0.571,0.577,0.577,0.571,0.566,0.565,0.567,0.569,0.57,0.572,0.582,0.6,0.622,0.631,0.622,0.599,0.577,0.562,0.554,0.553,0.561,0.585,0.623,0.661,0.682,0.677,0.65,0.619,0.598,0.591,0.594,0.597,0.599,0.598,0.6,0.604,0.61,0.615,0.621,0.635,0.655,0.676,0.682,0.669,0.642,0.618,0.602,0.597,0.601,0.612,0.632,0.653,0.666,0.659,0.632,0.594,0.563,0.55,0.557,0.577,0.598,0.609,0.606,0.588,0.561,0.534,0.515,0.514,0.533,0.57,0.61,0.635,0.633,0.607,0.569,0.525,0.477,0.431,0.399,0.395,0.426,0.485,0.548,0.594,0.61,0.602,0.587,0.577,0.577,0.583,0.59,0.593,0.594,0.596,0.598,0.601,0.604,0.608,0.62,0.641,0.665,0.678,0.674,0.654,0.631,0.61,0.592,0.575,0.565,0.571,0.596,0.628,0.646,0.637,0.608,0.58,0.571,0.581,0.599,0.61,0.604,0.586,0.566,0.554,0.557,0.573,0.597,0.623,0.645,0.658,0.659,0.648,0.629,0.611,0.594,0.578,0.563,0.556,0.564,0.591,0.625,0.65,0.657,0.646,0.629,0.615,0.608,0.608,0.612,0.617,0.617,0.614,0.609,0.606,0.606,0.61,0.617,0.631,0.65,0.668,0.676,0.669,0.65,0.627,0.607,0.595,0.595,0.61,0.637,0.666,0.688,0.689,0.67,0.64,0.611,0.594,0.589,0.592,0.595,0.593,0.584,0.569,0.554,0.545,0.544,0.553,0.574,0.601,0.623,0.626,0.603,0.551,0.483,0.408,0.341,0.292,0.265,0.258,0.271,0.299,0.331,0.355,0.359,0.346,0.326,0.309,0.296,0.289,0.282,0.276,0.27,0.268,0.271,0.274,0.273,0.264,0.25,0.237,0.227,0.221,0.218,0.221,0.23,0.243,0.255,0.262,0.267,0.275,0.291,0.311,0.326,0.329,0.317,0.297,0.277,0.264,0.261,0.263,0.265,0.261,0.247,0.221,0.185,0.145,0.112,0.095,0.095,0.107,0.125,0.145,0.169,0.198,0.226,0.246,0.26,0.277,0.313,0.368,0.425,0.453,0.439,0.39,0.332,0.283,0.253,0.238,0.233,0.232,0.233,0.237,0.245,0.256,0.266,0.274,0.279,0.277,0.267,0.252,0.242,0.246,0.262,0.281,0.296,0.306,0.32,0.349,0.394,0.444,0.475,0.472,0.437,0.393,0.369,0.379,0.411,0.438,0.433,0.393,0.339,0.302,0.306,0.349,0.409,0.451,0.455,0.426,0.39,0.368,0.364,0.37,0.37,0.361,0.346,0.339,0.353,0.396,0.46,0.527,0.577,0.6,0.601,0.592,0.579,0.559,0.525,0.476,0.422,0.378,0.358,0.364,0.388,0.422,0.463,0.515,0.573,0.625,0.652,0.644,0.606,0.554,0.503,0.462,0.436,0.433,0.46,0.512,0.57,0.61,0.622,0.613,0.603,0.597,0.591,0.569,0.525,0.471,0.427,0.413,0.432,0.47,0.509,0.538,0.565,0.598,0.634,0.654,0.644,0.605,0.555,0.512,0.49,0.492,0.518,0.562,0.613,0.657,0.681,0.678,0.655,0.627,0.605,0.589,0.569,0.534,0.484,0.43,0.394,0.387,0.408,0.443,0.479,0.514,0.553,0.593,0.623,0.63,0.612,0.578,0.539,0.502,0.47,0.45,0.454,0.489,0.544,0.599,0.628,0.628,0.608,0.586,0.572,0.561,0.543,0.516,0.486,0.468,0.471,0.488,0.507,0.518,0.525,0.543,0.576,0.614,0.633,0.622,0.579,0.516,0.443,0.367,0.297,0.249,0.242,0.277,0.335,0.378,0.38,0.338,0.282,0.238,0.222,0.228,0.244,0.26,0.271,0.279,0.284,0.283,0.267,0.234,0.19,0.149,0.12,0.109,0.118,0.146,0.187,0.222,0.235,0.219,0.19,0.167,0.169,0.198,0.238,0.272,0.286,0.28,0.267,0.261,0.267,0.281,0.296,0.303,0.303,0.297,0.287,0.268,0.238,0.198,0.159,0.129,0.113,0.115,0.135,0.167,0.199,0.213,0.201,0.169,0.139,0.131,0.154,0.2,0.248,0.279,0.286,0.278,0.27,0.274,0.291,0.309,0.317,0.313,0.301,0.289,0.274,0.25,0.212,0.167,0.126,0.1,0.096,0.113,0.148,0.188,0.21,0.203,0.171,0.135,0.118,0.13,0.164,0.199,0.218,0.215,0.2,0.187,0.187,0.2,0.218,0.232,0.237,0.236,0.236,0.238,0.241,0.243,0.245,0.252,0.261,0.268,0.271,0.272,0.274,0.275,0.274,0.269,0.261,0.241,0.202,0.147,0.091,0.05,0.032]