[0.014,0.014,0.013,0.015,0.022,0.04,0.076,0.131,0.201,0.277,0.349,0.411,0.461,0.502,0.536,0.559,0.565,0.549,0.515,0.477,0.454,0.459,0.492,0.533,0.553,0.533,0.475,0.405,0.352,0.33,0.334,0.349,0.358,0.354,0.337,0.316,0.301,0.299,0.309,0.329,0.357,0.388,0.411,0.42,0.413,0.401,0.399,0.409,0.424,0.428,0.416,0.392,0.364,0.338,0.317,0.301,0.291,0.286,0.287,0.3,0.326,0.361,0.392,0.409,0.411,0.407,0.406,0.413,0.422,0.427,0.422,0.409,0.391,0.372,0.352,0.329,0.301,0.266,0.225,0.18,0.139,0.107,0.091,0.098,0.133,0.198,0.286,0.382,0.472,0.547,0.598,0.619,0.611,0.585,0.562,0.558,0.573,0.593,0.602,0.592,0.557,0.499,0.429,0.365,0.324,0.308,0.307,0.305,0.295,0.276,0.252,0.23,0.217,0.218,0.23,0.243,0.244,0.227,0.196,0.163,0.147,0.159,0.202,0.265,0.334,0.396,0.446,0.485,0.514,0.537,0.555,0.569,0.577,0.578,0.568,0.548,0.523,0.5,0.482,0.465,0.447,0.429,0.421,0.43,0.456,0.49,0.526,0.558,0.581,0.587,0.571,0.537,0.498,0.46,0.424,0.382,0.33,0.269,0.208,0.155,0.115,0.09,0.086,0.105,0.148,0.205,0.267,0.324,0.37,0.402,0.416,0.411,0.393,0.371,0.357,0.354,0.363,0.377,0.391,0.394,0.38,0.352,0.323,0.31,0.322,0.355,0.395,0.422,0.423,0.402,0.38,0.381,0.411,0.457,0.495,0.509,0.499,0.477,0.458,0.451,0.458,0.472,0.489,0.512,0.55,0.605,0.675,0.734,0.764,0.752,0.711,0.661,0.621,0.605,0.617,0.657,0.712,0.761,0.776,0.744,0.672,0.584,0.509,0.463,0.447,0.449,0.456,0.456,0.443,0.413,0.365,0.307,0.244,0.187,0.141,0.108,0.094,0.11,0.163,0.254,0.371,0.492,0.594,0.663,0.692,0.683,0.643,0.59,0.549,0.54,0.566,0.608,0.642,0.656,0.656,0.648,0.635,0.618,0.601,0.588,0.584,0.586,0.587,0.584,0.575,0.557,0.53,0.499,0.473,0.463,0.468,0.479,0.485,0.477,0.451,0.41,0.361,0.316,0.288,0.284,0.298,0.319,0.336,0.343,0.337,0.318,0.292,0.27,0.259,0.257,0.255,0.241,0.211,0.17,0.132,0.109,0.11,0.139,0.193,0.261,0.333,0.398,0.449,0.482,0.497,0.504,0.511,0.521,0.53,0.53,0.517,0.493,0.462,0.432,0.409,0.401,0.411,0.435,0.461,0.475,0.465,0.429,0.38,0.329,0.286,0.254,0.236,0.234,0.251,0.283,0.321,0.353,0.37,0.369,0.358,0.346,0.339,0.334,0.325,0.313,0.299,0.289,0.282,0.273,0.263,0.252,0.243,0.234,0.222,0.205,0.183,0.155,0.126,0.097,0.072,0.051,0.034,0.022,0.014,0.011,0.014,0.022,0.038,0.059,0.084,0.111,0.14,0.169,0.194,0.209,0.213,0.21,0.207,0.208,0.214,0.223,0.237,0.255,0.275,0.288,0.291,0.281,0.26,0.233,0.208,0.188,0.176,0.171,0.169,0.166,0.159,0.151,0.144,0.14,0.14,0.144,0.154,0.168,0.179,0.18,0.173,0.165,0.168,0.19,0.227,0.266,0.297,0.31,0.307,0.292,0.27,0.244,0.219,0.198,0.188,0.192,0.207,0.229,0.25,0.264,0.265,0.253,0.233,0.213,0.199,0.195,0.197,0.202,0.207,0.21,0.209,0.2,0.182,0.157,0.128,0.101,0.077,0.058,0.044,0.041,0.054,0.094,0.163,0.252,0.343,0.415,0.456,0.466,0.453,0.427,0.397,0.369,0.349,0.335,0.324,0.314,0.3,0.283,0.265,0.249,0.238,0.229,0.223,0.218,0.216,0.216,0.217,0.219,0.223,0.228,0.233,0.233,0.229,0.223,0.217,0.211,0.201,0.184,0.161,0.138,0.121,0.118,0.131,0.158,0.194,0.231,0.263,0.287,0.302,0.309,0.308,0.301,0.288,0.271,0.252,0.235,0.224,0.22,0.221,0.224,0.228,0.234,0.246,0.264,0.286,0.308,0.324,0.329,0.319,0.296,0.264,0.231,0.201,0.175,0.149,0.122,0.094,0.068,0.047,0.033,0.026,0.027,0.036,0.058,0.09,0.13,0.168,0.2,0.224,0.241,0.256,0.267,0.275,0.279,0.284,0.294,0.308,0.32,0.327,0.33,0.336,0.352,0.377,0.396,0.393,0.363,0.314,0.267,0.234,0.22,0.226,0.244,0.267,0.284,0.292,0.293,0.295,0.303,0.311,0.311,0.3,0.281,0.26,0.239,0.217,0.196,0.18,0.173,0.176,0.19,0.212,0.238,0.262,0.273,0.268,0.249,0.222,0.194,0.171,0.155,0.147,0.149,0.161,0.183,0.206,0.224,0.232,0.231,0.225,0.219,0.215,0.215,0.214,0.207,0.19,0.162,0.128,0.096,0.07,0.05,0.039,0.036,0.048,0.075,0.118,0.169,0.221,0.268,0.306,0.332,0.349,0.357,0.359,0.354,0.344,0.332,0.322,0.318,0.316,0.309,0.294,0.27,0.243,0.223,0.214,0.217,0.226,0.234,0.24,0.244,0.248,0.254,0.261,0.269,0.278,0.285,0.284,0.267,0.232,0.185,0.138,0.101,0.079,0.072,0.077,0.091,0.108,0.126,0.142,0.153,0.16,0.162,0.163,0.167,0.176,0.191,0.207,0.217,0.217,0.208,0.193,0.175,0.16,0.148,0.14,0.135,0.131,0.129,0.129,0.133,0.138,0.143,0.146,0.146,0.142,0.135,0.126,0.115,0.101,0.089,0.081,0.08,0.084,0.09,0.094,0.093,0.088,0.081,0.074,0.067,0.06,0.052,0.044,0.036,0.028,0.022,0.017,0.014,0.011,0.01,0.011,0.018,0.035,0.066,0.115,0.177,0.244,0.308,0.362,0.405,0.437,0.459,0.471,0.471,0.463,0.451,0.442,0.443,0.455,0.477,0.497,0.504,0.489,0.453,0.411,0.379,0.365,0.368,0.377,0.385,0.386,0.376,0.36,0.342,0.329,0.324,0.328,0.342,0.365,0.392,0.412,0.416,0.409,0.406,0.42,0.447,0.476,0.492,0.488,0.463,0.422,0.374,0.334,0.312,0.314,0.334,0.366,0.404,0.441,0.465,0.465,0.448,0.43,0.428,0.444,0.467,0.485,0.49,0.483,0.467,0.445,0.415,0.373,0.318,0.254,0.189,0.133,0.092,0.069,0.067,0.093,0.147,0.227,0.321,0.415,0.493,0.543,0.56,0.548,0.523,0.506,0.51,0.528,0.54,0.529,0.491,0.433,0.371,0.322,0.298,0.303,0.326,0.355,0.374,0.377,0.363,0.333,0.295,0.261,0.238,0.229,0.226,0.22,0.206,0.186,0.164,0.15,0.156,0.191,0.254,0.331,0.406,0.469,0.52,0.561,0.593,0.613,0.619,0.612,0.594,0.569,0.536,0.501,0.47,0.452,0.448,0.45,0.448,0.442,0.441,0.448,0.461,0.471,0.474,0.466,0.45,0.428,0.405,0.382,0.36,0.334,0.299,0.253,0.202,0.153,0.113,0.092,0.095,0.126,0.183,0.255,0.326,0.384,0.418,0.43,0.425,0.41,0.396,0.389,0.394,0.412,0.437,0.456,0.457,0.433,0.391,0.349,0.323,0.319,0.331,0.353,0.371,0.379,0.372,0.36,0.359,0.379,0.42,0.468,0.503,0.514,0.503,0.483,0.469,0.466,0.466,0.467,0.47,0.484,0.509,0.537,0.552,0.544,0.516,0.477,0.442,0.423,0.429,0.457,0.505,0.56,0.61,0.64,0.644,0.621,0.585,0.548,0.521,0.508,0.504,0.502,0.494,0.475,0.441,0.392,0.333,0.268,0.205,0.149,0.104,0.074,0.064,0.083,0.137,0.228,0.342,0.458,0.552,0.608,0.623,0.601,0.556,0.507,0.478,0.482,0.515,0.558,0.591,0.605,0.603,0.59,0.573,0.555,0.543,0.544,0.557,0.581,0.608,0.63,0.636,0.619,0.579,0.528,0.481,0.451,0.439,0.436,0.428,0.41,0.38,0.344,0.31,0.293,0.307,0.354,0.416,0.465,0.482,0.461,0.411,0.351,0.296,0.261,0.249,0.252,0.257,0.248,0.22,0.178,0.14,0.123,0.14,0.192,0.27,0.355,0.431,0.487,0.52,0.534,0.532,0.521,0.508,0.506,0.515,0.532,0.546,0.547,0.533,0.511,0.49,0.476,0.471,0.467,0.456,0.434,0.399,0.357,0.317,0.286,0.267,0.258,0.255,0.257,0.262,0.265,0.268,0.269,0.271,0.279,0.29,0.303,0.313,0.317,0.316,0.31,0.302,0.294,0.287,0.281,0.277,0.272,0.263,0.249,0.228,0.201,0.17,0.139,0.109,0.082,0.059,0.04,0.027,0.018,0.014,0.015,0.023,0.038,0.063,0.096,0.131,0.162,0.186,0.203,0.221,0.24,0.256,0.263,0.261,0.253,0.248,0.252,0.266,0.287,0.307,0.321,0.322,0.309,0.284,0.254,0.228,0.213,0.213,0.228,0.249,0.268,0.276,0.271,0.261,0.258,0.264,0.275,0.279,0.274,0.264,0.259,0.261,0.263,0.26,0.254,0.252,0.259,0.273,0.287,0.292,0.288,0.277,0.262,0.248,0.24,0.238,0.239,0.242,0.247,0.258,0.275,0.29,0.294,0.282,0.261,0.243,0.241,0.259,0.291,0.333,0.372,0.395,0.392,0.363,0.319,0.275,0.24,0.214,0.188,0.158,0.125,0.099,0.088,0.101,0.137,0.186,0.233,0.269,0.291,0.304,0.313,0.322,0.325,0.322,0.313,0.305,0.301,0.302,0.303,0.302,0.299,0.294,0.286,0.271,0.249,0.225,0.207,0.199,0.201,0.213,0.231,0.252,0.271,0.287,0.298,0.305,0.303,0.29,0.263,0.228,0.193,0.167,0.154,0.157,0.172,0.197,0.229,0.263,0.297,0.324,0.339,0.338,0.328,0.314,0.303,0.3,0.306,0.32,0.335,0.346,0.35,0.343,0.329,0.309,0.291,0.279,0.275,0.279,0.286,0.297,0.309,0.322,0.334,0.344,0.346,0.336,0.31,0.268,0.215,0.162,0.116,0.083,0.062,0.055,0.061,0.079,0.107,0.138,0.168,0.191,0.205,0.211,0.214,0.22,0.23,0.243,0.26,0.279,0.299,0.318,0.334,0.35,0.362,0.365,0.353,0.326,0.294,0.269,0.263,0.283,0.327,0.38,0.418,0.418,0.381,0.324,0.272,0.239,0.225,0.221,0.222,0.228,0.24,0.251,0.254,0.246,0.231,0.217,0.21,0.215,0.236,0.271,0.315,0.356,0.384,0.388,0.368,0.334,0.299,0.273,0.264,0.271,0.291,0.316,0.338,0.351,0.357,0.36,0.369,0.388,0.416,0.444,0.461,0.463,0.45,0.42,0.373,0.312,0.244,0.181,0.13,0.096,0.079,0.08,0.102,0.146,0.205,0.271,0.333,0.384,0.419,0.437,0.439,0.427,0.407,0.385,0.374,0.375,0.386,0.394,0.392,0.378,0.356,0.331,0.307,0.288,0.277,0.276,0.289,0.32,0.374,0.445,0.514,0.557,0.556,0.512,0.446,0.382,0.335,0.306,0.286,0.265,0.24,0.213,0.187,0.165,0.15,0.145,0.151,0.163,0.176,0.184,0.184,0.177,0.168,0.163,0.165,0.175,0.19,0.206,0.216,0.218,0.212,0.199,0.183,0.166,0.152,0.146,0.148,0.158,0.174,0.19,0.204,0.215,0.223,0.23,0.235,0.236,0.234,0.23,0.223,0.212,0.194,0.17,0.145,0.124,0.11,0.105,0.102,0.1,0.094,0.086,0.077,0.069,0.061,0.054,0.046,0.039,0.032,0.025,0.019,0.014,0.011,0.009,0.008,0.008,0.008,0.009,0.015,0.029,0.058,0.103,0.166,0.243,0.328,0.413,0.491,0.551,0.589,0.604,0.602,0.589,0.57,0.548,0.53,0.522,0.532,0.553,0.572,0.569,0.541,0.501,0.47,0.459,0.465,0.476,0.483,0.482,0.471,0.453,0.437,0.428,0.427,0.43,0.434,0.443,0.457,0.473,0.48,0.472,0.458,0.452,0.461,0.485,0.515,0.546,0.567,0.571,0.549,0.508,0.462,0.423,0.395,0.378,0.373,0.382,0.404,0.433,0.461,0.48,0.489,0.491,0.497,0.515,0.546,0.578,0.597,0.593,0.568,0.528,0.475,0.41,0.333,0.252,0.178,0.123,0.091,0.088,0.12,0.189,0.291,0.413,0.536,0.644,0.723,0.761,0.754,0.707,0.637,0.571,0.527,0.509,0.504,0.497,0.477,0.439,0.386,0.329,0.284,0.262,0.265,0.287,0.314,0.334,0.336,0.319,0.286,0.251,0.225,0.212,0.205,0.196,0.18,0.159,0.14,0.136,0.159,0.214,0.29,0.369,0.433,0.477,0.507,0.534,0.559,0.582,0.596,0.597,0.586,0.564,0.532,0.498,0.469,0.453,0.444,0.436,0.424,0.413,0.411,0.421,0.445,0.479,0.52,0.558,0.583,0.59,0.576,0.548,0.509,0.462,0.406,0.342,0.272,0.203,0.143,0.101,0.081,0.088,0.121,0.177,0.245,0.314,0.372,0.414,0.439,0.444,0.434,0.416,0.401,0.396,0.403,0.421,0.448,0.475,0.491,0.484,0.447,0.391,0.338,0.306,0.301,0.318,0.344,0.368,0.382,0.39,0.401,0.422,0.453,0.482,0.498,0.497,0.486,0.474,0.47,0.482,0.519,0.588,0.679,0.769,0.828,0.838,0.798,0.726,0.641,0.56,0.494,0.451,0.433,0.441,0.473,0.525,0.587,0.639,0.66,0.64,0.591,0.538,0.508,0.506,0.524,0.543,0.555,0.556,0.553,0.543,0.519,0.473,0.404,0.322,0.243,0.176,0.126,0.095,0.088,0.112,0.176,0.275,0.395,0.51,0.604,0.666,0.694,0.689,0.652,0.595,0.54,0.508,0.51,0.54,0.582,0.622,0.653,0.667,0.66,0.632,0.591,0.552,0.532,0.538,0.566,0.6,0.62,0.611,0.571,0.51,0.448,0.401,0.38,0.378,0.381,0.374,0.35,0.31,0.264,0.223,0.199,0.2,0.222,0.253,0.283,0.306,0.32,0.324,0.313,0.291,0.264,0.244,0.236,0.236,0.235,0.221,0.193,0.157,0.124,0.106,0.11,0.138,0.183,0.235,0.285,0.329,0.363,0.391,0.414,0.439,0.465,0.492,0.513,0.523,0.52,0.507,0.486,0.465,0.447,0.439,0.44,0.45,0.466,0.483,0.498,0.503,0.489,0.454,0.402,0.347,0.305,0.281,0.274,0.277,0.284,0.295,0.308,0.322,0.333,0.339,0.342,0.34,0.336,0.327,0.316,0.306,0.302,0.305,0.311,0.313,0.307,0.291,0.268,0.241,0.21,0.178,0.146,0.115,0.088,0.066,0.048,0.033,0.023,0.016,0.011,0.009,0.007,0.007,0.006,0.006,0.008,0.014,0.027,0.048,0.08,0.118,0.158,0.196,0.231,0.263,0.292,0.314,0.325,0.326,0.318,0.308,0.302,0.302,0.307,0.316,0.326,0.339,0.353,0.364,0.362,0.345,0.32,0.298,0.287,0.291,0.306,0.331,0.359,0.38,0.385,0.373,0.351,0.335,0.332,0.344,0.358,0.365,0.359,0.342,0.318,0.292,0.269,0.251,0.244,0.248,0.259,0.273,0.284,0.289,0.29,0.288,0.285,0.284,0.287,0.294,0.3,0.305,0.305,0.3,0.287,0.271,0.261,0.267,0.288,0.315,0.338,0.353,0.362,0.364,0.361,0.352,0.337,0.315,0.283,0.238,0.185,0.134,0.096,0.079,0.089,0.127,0.184,0.248,0.303,0.341,0.365,0.38,0.392,0.398,0.397,0.387,0.373,0.359,0.349,0.343,0.344,0.351,0.361,0.364,0.353,0.332,0.315,0.313,0.331,0.362,0.4,0.434,0.457,0.467,0.466,0.458,0.444,0.425,0.399,0.367,0.329,0.288,0.245,0.206,0.178,0.171,0.191,0.232,0.285,0.337,0.38,0.41,0.43,0.441,0.449,0.451,0.448,0.437,0.425,0.416,0.418,0.427,0.438,0.44,0.426,0.4,0.373,0.359,0.366,0.389,0.413,0.426,0.422,0.41,0.401,0.405,0.42,0.432,0.43,0.402,0.351,0.283,0.212,0.15,0.103,0.073,0.061,0.065,0.084,0.117,0.158,0.2,0.236,0.264,0.286,0.306,0.323,0.337,0.344,0.343,0.336,0.325,0.317,0.317,0.328,0.345,0.359,0.357,0.338,0.308,0.281,0.27,0.279,0.304,0.335,0.36,0.37,0.364,0.347,0.328,0.317,0.317,0.325,0.335,0.343,0.346,0.344,0.338,0.327,0.315,0.307,0.306,0.312,0.322,0.335,0.352,0.37,0.382,0.379,0.361,0.332,0.306,0.289,0.282,0.282,0.285,0.291,0.299,0.307,0.312,0.317,0.324,0.336,0.349,0.358,0.363,0.367,0.374,0.382,0.382,0.365,0.328,0.276,0.216,0.16,0.114,0.083,0.068,0.074,0.105,0.159,0.225,0.289,0.34,0.377,0.406,0.429,0.441,0.44,0.429,0.416,0.411,0.412,0.411,0.4,0.382,0.363,0.347,0.337,0.328,0.318,0.307,0.297,0.291,0.289,0.292,0.298,0.307,0.317,0.326,0.329,0.327,0.318,0.303,0.281,0.251,0.216,0.181,0.151,0.13,0.119,0.117,0.121,0.131,0.143,0.155,0.168,0.178,0.186,0.189,0.189,0.188,0.187,0.188,0.19,0.192,0.19,0.186,0.179,0.171,0.16,0.149,0.14,0.138,0.143,0.154,0.167,0.178,0.189,0.197,0.203,0.207,0.208,0.206,0.201,0.192,0.182,0.171,0.163,0.156,0.15,0.141,0.127,0.11,0.092,0.079,0.075,0.079,0.087,0.092,0.091,0.084,0.076,0.067,0.06,0.054,0.047,0.039,0.032,0.025,0.02,0.017,0.017,0.019,0.024,0.032,0.047,0.073,0.114,0.17,0.239,0.314,0.392,0.471,0.545,0.609,0.656,0.68,0.675,0.642,0.592,0.543,0.512,0.507,0.522,0.544,0.558,0.554,0.536,0.511,0.494,0.493,0.509,0.529,0.536,0.519,0.48,0.433,0.391,0.364,0.353,0.358,0.379,0.415,0.452,0.475,0.473,0.451,0.422,0.397,0.382,0.377,0.38,0.388,0.391,0.38,0.356,0.33,0.315,0.317,0.336,0.363,0.393,0.415,0.424,0.422,0.418,0.42,0.432,0.453,0.476,0.496,0.508,0.51,0.502,0.484,0.456,0.415,0.361,0.295,0.224,0.159,0.108,0.075,0.062,0.071,0.105,0.168,0.259,0.37,0.484,0.579,0.639,0.655,0.632,0.583,0.527,0.482,0.458,0.453,0.455,0.453,0.436,0.403,0.357,0.308,0.27,0.252,0.26,0.287,0.32,0.343,0.341,0.313,0.272,0.238,0.224,0.228,0.236,0.231,0.209,0.174,0.141,0.124,0.135,0.177,0.24,0.311,0.376,0.429,0.471,0.502,0.522,0.535,0.544,0.551,0.552,0.54,0.51,0.465,0.417,0.38,0.363,0.364,0.372,0.379,0.383,0.394,0.413,0.44,0.464,0.482,0.491,0.493,0.486,0.468,0.436,0.39,0.335,0.277,0.22,0.167,0.121,0.085,0.062,0.057,0.072,0.11,0.169,0.243,0.32,0.389,0.444,0.483,0.506,0.511,0.5,0.478,0.456,0.443,0.447,0.459,0.466,0.453,0.417,0.367,0.328,0.312,0.325,0.357,0.396,0.426,0.435,0.418,0.388,0.365,0.368,0.396,0.435,0.471,0.498,0.52,0.539,0.549,0.544,0.53,0.519,0.528,0.561,0.612,0.661,0.692,0.691,0.662,0.611,0.555,0.512,0.497,0.514,0.56,0.624,0.691,0.742,0.757,0.728,0.663,0.588,0.532,0.511,0.522,0.552,0.586,0.614,0.628,0.614,0.562,0.476,0.372,0.274,0.197,0.145,0.11,0.088,0.081,0.102,0.166,0.275,0.409,0.536,0.628,0.675,0.683,0.662,0.623,0.574,0.53,0.505,0.505,0.528,0.571,0.623,0.672,0.702,0.703,0.676,0.636,0.603,0.596,0.613,0.643,0.668,0.68,0.673,0.644,0.595,0.537,0.483,0.451,0.44,0.44,0.436,0.42,0.387,0.343,0.295,0.256,0.235,0.236,0.251,0.271,0.288,0.301,0.305,0.297,0.276,0.249,0.23,0.229,0.244,0.262,0.267,0.25,0.215,0.174,0.144,0.136,0.156,0.202,0.265,0.332,0.393,0.445,0.489,0.525,0.553,0.576,0.602,0.634,0.67,0.695,0.698,0.675,0.635,0.587,0.541,0.506,0.493,0.509,0.547,0.59,0.616,0.609,0.566,0.497,0.418,0.35,0.305,0.284,0.281,0.286,0.292,0.297,0.302,0.305,0.308,0.309,0.309,0.309,0.307,0.303,0.297,0.288,0.278,0.269,0.263,0.26,0.26,0.26,0.256,0.248,0.238,0.227,0.219,0.211,0.203,0.19,0.172,0.148,0.121,0.093,0.068,0.047,0.031,0.021,0.016,0.016,0.018,0.023,0.028,0.031]