[0.083,0.085,0.091,0.1,0.111,0.124,0.14,0.158,0.181,0.209,0.237,0.262,0.279,0.287,0.286,0.271,0.243,0.207,0.174,0.153,0.148,0.157,0.178,0.206,0.237,0.266,0.289,0.305,0.313,0.314,0.309,0.303,0.294,0.284,0.27,0.254,0.239,0.226,0.218,0.216,0.219,0.225,0.232,0.238,0.242,0.247,0.254,0.267,0.285,0.304,0.321,0.332,0.336,0.333,0.325,0.307,0.28,0.244,0.205,0.171,0.146,0.133,0.129,0.132,0.138,0.145,0.152,0.156,0.158,0.157,0.153,0.147,0.141,0.135,0.132,0.134,0.14,0.15,0.159,0.164,0.164,0.158,0.15,0.141,0.132,0.125,0.119,0.115,0.112,0.113,0.12,0.133,0.152,0.174,0.194,0.212,0.229,0.248,0.266,0.279,0.287,0.289,0.284,0.274,0.26,0.246,0.237,0.235,0.244,0.261,0.285,0.31,0.332,0.346,0.353,0.352,0.346,0.337,0.329,0.324,0.322,0.323,0.325,0.324,0.317,0.298,0.27,0.235,0.203,0.178,0.163,0.156,0.16,0.176,0.202,0.233,0.261,0.282,0.295,0.301,0.302,0.297,0.288,0.277,0.27,0.273,0.285,0.296,0.295,0.28,0.255,0.231,0.215,0.207,0.204,0.201,0.199,0.194,0.189,0.182,0.176,0.17,0.167,0.166,0.165,0.164,0.162,0.159,0.155,0.153,0.151,0.15,0.148,0.147,0.146,0.145,0.146,0.149,0.154,0.165,0.184,0.213,0.247,0.278,0.301,0.312,0.315,0.314,0.313,0.313,0.315,0.316,0.314,0.311,0.307,0.307,0.31,0.317,0.324,0.326,0.32,0.304,0.28,0.252,0.223,0.197,0.176,0.161,0.151,0.145,0.142,0.141,0.14,0.14,0.139,0.139,0.141,0.145,0.15,0.154,0.155,0.154,0.153,0.153,0.155,0.16,0.166,0.172,0.175,0.177,0.178,0.182,0.188,0.196,0.209,0.228,0.255,0.283,0.307,0.319,0.319,0.312,0.304,0.303,0.311,0.326,0.34,0.351,0.355,0.353,0.346,0.335,0.322,0.312,0.309,0.315,0.328,0.342,0.348,0.34,0.316,0.283,0.25,0.226,0.213,0.21,0.212,0.214,0.215,0.213,0.21,0.207,0.206,0.207,0.209,0.212,0.213,0.213,0.21,0.208,0.205,0.204,0.204,0.203,0.2,0.195,0.19,0.183,0.177,0.174,0.178,0.195,0.224,0.26,0.293,0.315,0.324,0.326,0.325,0.325,0.326,0.331,0.341,0.354,0.365,0.371,0.372,0.37,0.365,0.358,0.351,0.341,0.329,0.317,0.308,0.308,0.318,0.33,0.335,0.321,0.292,0.256,0.224,0.203,0.193,0.191,0.195,0.202,0.215,0.234,0.26,0.288,0.309,0.316,0.307,0.286,0.261,0.24,0.223,0.213,0.207,0.207,0.214,0.229,0.25,0.273,0.29,0.295,0.289,0.275,0.257,0.24,0.226,0.216,0.211,0.209,0.209,0.212,0.219,0.229,0.241,0.251,0.258,0.261,0.262,0.263,0.261,0.256,0.249,0.238,0.226,0.212,0.199,0.188,0.181,0.178,0.179,0.183,0.188,0.193,0.197,0.198,0.196,0.192,0.187,0.182,0.177,0.172,0.166,0.161,0.159,0.161,0.166,0.175,0.182,0.187,0.188,0.186,0.182,0.179,0.176,0.173,0.17,0.167,0.166,0.166,0.168,0.17,0.173,0.174,0.174,0.173,0.171,0.169,0.166,0.163,0.159,0.157,0.158,0.163,0.172,0.18,0.185,0.185,0.179,0.174,0.173,0.18,0.195,0.222,0.256,0.29,0.312,0.313,0.298,0.278,0.263,0.257,0.258,0.268,0.284,0.297,0.301,0.297,0.296,0.306,0.327,0.349,0.36,0.357,0.344,0.33,0.32,0.317,0.317,0.315,0.311,0.306,0.304,0.305,0.308,0.306,0.297,0.281,0.266,0.263,0.283,0.332,0.411,0.514,0.625,0.724,0.79,0.812,0.794,0.747,0.684,0.616,0.55,0.489,0.435,0.391,0.357,0.33,0.304,0.274,0.241,0.212,0.193,0.182,0.175,0.171,0.172,0.178,0.189,0.197,0.204,0.217,0.248,0.298,0.354,0.392,0.396,0.368,0.329,0.302,0.297,0.308,0.321,0.33,0.335,0.338,0.336,0.328,0.313,0.298,0.287,0.283,0.285,0.29,0.297,0.305,0.313,0.319,0.32,0.311,0.293,0.273,0.26,0.26,0.272,0.284,0.283,0.263,0.234,0.217,0.224,0.256,0.298,0.329,0.334,0.314,0.281,0.257,0.253,0.263,0.274,0.276,0.27,0.263,0.261,0.261,0.261,0.258,0.258,0.264,0.277,0.296,0.327,0.378,0.452,0.539,0.617,0.665,0.676,0.658,0.624,0.584,0.542,0.5,0.46,0.423,0.385,0.348,0.319,0.305,0.311,0.331,0.358,0.391,0.434,0.488,0.54,0.575,0.584,0.571,0.544,0.512,0.477,0.44,0.402,0.364,0.33,0.304,0.287,0.277,0.265,0.245,0.217,0.188,0.165,0.15,0.14,0.135,0.131,0.128,0.125,0.119,0.11,0.1,0.093,0.092,0.097,0.111,0.142,0.2,0.289,0.393,0.483,0.541,0.562,0.559,0.542,0.517,0.484,0.45,0.419,0.394,0.371,0.344,0.31,0.278,0.258,0.259,0.276,0.295,0.297,0.27,0.223,0.178,0.158,0.171,0.209,0.254,0.286,0.3,0.291,0.263,0.225,0.194,0.185,0.203,0.234,0.256,0.258,0.247,0.244,0.259,0.287,0.314,0.327,0.323,0.309,0.292,0.285,0.294,0.318,0.349,0.371,0.381,0.387,0.408,0.451,0.507,0.555,0.581,0.584,0.572,0.553,0.53,0.511,0.509,0.53,0.567,0.599,0.609,0.593,0.564,0.531,0.503,0.481,0.473,0.489,0.527,0.577,0.622,0.645,0.643,0.62,0.583,0.542,0.5,0.459,0.42,0.382,0.352,0.333,0.324,0.32,0.318,0.313,0.306,0.299,0.295,0.297,0.305,0.317,0.329,0.333,0.324,0.299,0.262,0.22,0.182,0.154,0.134,0.119,0.106,0.098,0.098,0.106,0.126,0.16,0.204,0.251,0.292,0.315,0.317,0.3,0.267,0.227,0.194,0.179,0.189,0.212,0.234,0.238,0.22,0.187,0.152,0.127,0.12,0.131,0.159,0.197,0.232,0.254,0.258,0.248,0.236,0.235,0.251,0.278,0.303,0.316,0.316,0.308,0.295,0.279,0.264,0.253,0.25,0.252,0.255,0.258,0.263,0.27,0.274,0.275,0.271,0.266,0.268,0.287,0.338,0.424,0.529,0.626,0.686,0.702,0.68,0.637,0.584,0.53,0.477,0.428,0.385,0.348,0.322,0.308,0.31,0.324,0.344,0.368,0.398,0.44,0.492,0.541,0.574,0.583,0.573,0.551,0.525,0.499,0.477,0.461,0.453,0.45,0.445,0.435,0.416,0.386,0.351,0.316,0.289,0.276,0.28,0.296,0.316,0.326,0.316,0.281,0.229,0.175,0.136,0.119,0.123,0.143,0.169,0.192,0.21,0.227,0.247,0.269,0.286,0.292,0.292,0.29,0.294,0.3,0.303,0.293,0.269,0.237,0.208,0.195,0.207,0.239,0.28,0.318,0.344,0.356,0.354,0.335,0.301,0.255,0.21,0.176,0.164,0.175,0.203,0.231,0.245,0.237,0.217,0.199,0.192,0.19,0.19,0.188,0.189,0.195,0.208,0.227,0.253,0.279,0.299,0.303,0.292,0.277,0.268,0.272,0.284,0.293,0.296,0.302,0.328,0.386,0.461,0.529,0.569,0.578,0.563,0.534,0.501,0.475,0.472,0.498,0.544,0.585,0.599,0.584,0.552,0.515,0.477,0.436,0.391,0.341,0.29,0.239,0.196,0.164,0.146,0.14,0.141,0.143,0.147,0.152,0.163,0.184,0.216,0.257,0.3,0.339,0.37,0.391,0.396,0.381,0.35,0.313,0.283,0.269,0.27,0.28,0.29,0.295,0.296,0.296,0.299,0.3,0.295,0.285,0.275,0.273,0.281,0.298,0.32,0.342,0.36,0.371,0.375,0.371,0.36,0.34,0.314,0.285,0.26,0.241,0.227,0.214,0.199,0.182,0.165,0.152,0.145,0.142,0.143,0.144,0.145,0.144,0.142,0.141,0.141,0.147,0.158,0.177,0.204,0.237,0.274,0.311,0.338,0.35,0.345,0.325,0.297,0.27,0.253,0.253,0.266,0.285,0.296,0.294,0.279,0.262,0.254,0.258,0.269,0.279,0.286,0.288,0.287,0.283,0.275,0.264,0.255,0.252,0.254,0.254,0.249,0.237,0.223,0.211,0.204,0.201,0.201,0.203,0.208,0.224,0.264,0.332,0.418,0.497,0.547,0.559,0.546,0.52,0.492,0.464,0.437,0.414,0.396,0.382,0.373,0.364,0.357,0.346,0.333,0.317,0.303,0.294,0.296,0.309,0.331,0.351,0.354,0.333,0.292,0.25,0.229,0.24,0.278,0.325,0.366,0.397,0.427,0.458,0.474,0.452,0.388,0.307,0.246,0.227,0.248,0.285,0.315,0.326,0.315,0.289,0.261,0.243,0.241,0.252,0.265,0.27,0.268,0.263,0.262,0.266,0.27,0.272,0.272,0.274,0.286,0.309,0.336,0.356,0.361,0.356,0.35,0.351,0.361,0.371,0.376,0.372,0.362,0.345,0.323,0.297,0.278,0.272,0.281,0.296,0.31,0.314,0.312,0.308,0.303,0.295,0.282,0.28,0.308,0.377,0.468,0.549,0.595,0.601,0.579,0.544,0.511,0.492,0.497,0.529,0.577,0.621,0.647,0.648,0.633,0.606,0.573,0.534,0.49,0.445,0.407,0.38,0.363,0.348,0.327,0.298,0.273,0.264,0.276,0.298,0.31,0.301,0.271,0.237,0.213,0.206,0.21,0.215,0.213,0.206,0.204,0.217,0.249,0.289,0.327,0.353,0.366,0.369,0.365,0.353,0.328,0.294,0.255,0.22,0.194,0.176,0.163,0.154,0.148,0.144,0.143,0.143,0.143,0.145,0.152,0.168,0.2,0.247,0.299,0.344,0.371,0.374,0.357,0.326,0.293,0.266,0.253,0.257,0.276,0.3,0.318,0.321,0.312,0.299,0.292,0.298,0.315,0.334,0.343,0.334,0.306,0.267,0.229,0.201,0.183,0.176,0.178,0.191,0.214,0.242,0.265,0.273,0.265,0.248,0.237,0.24,0.252,0.26,0.254,0.235,0.215,0.207,0.212,0.226,0.237,0.234,0.218,0.198,0.187,0.19,0.205,0.224,0.243,0.259,0.275,0.291,0.309,0.327,0.343,0.353,0.355,0.347,0.329,0.305,0.279,0.254,0.234,0.22,0.212,0.212,0.225,0.251,0.285,0.316,0.334,0.336,0.325,0.304,0.278,0.257,0.248,0.255,0.278,0.31,0.342,0.37,0.391,0.406,0.417,0.425,0.43,0.435,0.436,0.433,0.426,0.414,0.397,0.372,0.336,0.29,0.239,0.193,0.157,0.133,0.119,0.111,0.105,0.101,0.097,0.094,0.091,0.088,0.085,0.081,0.077,0.075,0.073,0.073,0.075,0.078,0.081,0.084,0.085,0.086,0.086,0.085,0.085,0.086,0.086,0.086,0.086,0.086,0.086,0.086,0.085,0.083,0.082,0.086,0.101,0.129,0.168,0.207,0.238,0.256,0.263,0.264,0.263,0.265,0.272,0.28,0.285,0.286,0.285,0.293,0.314,0.349,0.387,0.412,0.412,0.381,0.328,0.27,0.225,0.202,0.195,0.194,0.188,0.172,0.147,0.117,0.09,0.08,0.109,0.191,0.326,0.48,0.612,0.686,0.699,0.668,0.616,0.557,0.496,0.438,0.384,0.34,0.312,0.305,0.316,0.335,0.35,0.353,0.347,0.335,0.318,0.293,0.263,0.239,0.233,0.249,0.278,0.303,0.312,0.305,0.289,0.271,0.253,0.234,0.218,0.212,0.221,0.237,0.248,0.247,0.24,0.239,0.248,0.259,0.259,0.244,0.223,0.211,0.211,0.215,0.213,0.201,0.18,0.159,0.146,0.147,0.166,0.197,0.228,0.245,0.246,0.237,0.227,0.222,0.218,0.207,0.186,0.161,0.151,0.166,0.209,0.258,0.296,0.311,0.312,0.31,0.312,0.318,0.326,0.332,0.33,0.316,0.289,0.261,0.245,0.25,0.267,0.282,0.289,0.304,0.353,0.444,0.556,0.654,0.707,0.71,0.679,0.632,0.581,0.53,0.481,0.439,0.404,0.376,0.352,0.328,0.301,0.269,0.234,0.211,0.219,0.271,0.365,0.467,0.546,0.58,0.575,0.543,0.503,0.461,0.424,0.393,0.368,0.35,0.342,0.343,0.352,0.361,0.364,0.359,0.35,0.338,0.325,0.309,0.29,0.27,0.248,0.225,0.203,0.186,0.181,0.19,0.209,0.231,0.248,0.257,0.258,0.255,0.246,0.232,0.216,0.206,0.209,0.224,0.243,0.25,0.241,0.225,0.22,0.233,0.259,0.28,0.282,0.266,0.247,0.242,0.26,0.291,0.313,0.309,0.28,0.24,0.208,0.188,0.176,0.17,0.168,0.173,0.179,0.179,0.176,0.18,0.197,0.22,0.234,0.229,0.211,0.191,0.183,0.195,0.229,0.273,0.308,0.319,0.303,0.275,0.254,0.249,0.25,0.247,0.238,0.248,0.303,0.41,0.544,0.664,0.734,0.75,0.723,0.679,0.637,0.612,0.613,0.638,0.678,0.715,0.739,0.745,0.734,0.712,0.684,0.655,0.637,0.639,0.665,0.704,0.742,0.765,0.768,0.755,0.728,0.692,0.65,0.605,0.559,0.515,0.474,0.434,0.394,0.351,0.31,0.279,0.269,0.279,0.301,0.323,0.338,0.339,0.33,0.312,0.292,0.276,0.27,0.277,0.291,0.304,0.309,0.304,0.29,0.269,0.242,0.212,0.19,0.185,0.202,0.229,0.252,0.255,0.242,0.225,0.221,0.232,0.253,0.277,0.3,0.32,0.333,0.339,0.341,0.342,0.343,0.342,0.335,0.323,0.312,0.307,0.31,0.314,0.314,0.305,0.287,0.268,0.257,0.263,0.283,0.3,0.3,0.278,0.248,0.226,0.226,0.247,0.279,0.306,0.317,0.309,0.295,0.29,0.3,0.323,0.348,0.365,0.377,0.4,0.455,0.548,0.663,0.767,0.829,0.845,0.822,0.777,0.722,0.664,0.606,0.549,0.492,0.436,0.387,0.351,0.328,0.312,0.298,0.292,0.314,0.378,0.482,0.597,0.694,0.751,0.767,0.751,0.717,0.674,0.627,0.58,0.534,0.494,0.462,0.439,0.421,0.4,0.369,0.332,0.295,0.268,0.252,0.245,0.244,0.246,0.251,0.258,0.267,0.278,0.293,0.309,0.327,0.344,0.359,0.367,0.36,0.336,0.298,0.255,0.221,0.207,0.216,0.243,0.279,0.309,0.327,0.333,0.338,0.344,0.351,0.351,0.339,0.316,0.285,0.252,0.221,0.196,0.181,0.182,0.194,0.21,0.221,0.227,0.231,0.235,0.234,0.224,0.212,0.21,0.229,0.262,0.292,0.299,0.287,0.269,0.261,0.262,0.259,0.246,0.227,0.211,0.199,0.188,0.177,0.175,0.19,0.22,0.249,0.263,0.264,0.279,0.334,0.437,0.56,0.67,0.735,0.756,0.739,0.704,0.664,0.633,0.623,0.636,0.664,0.691,0.707,0.71,0.704,0.692,0.671,0.636,0.584,0.519,0.451,0.395,0.361,0.351,0.355,0.362,0.366,0.364,0.359,0.353,0.347,0.343,0.337,0.328,0.313,0.292,0.267,0.241,0.217,0.197,0.183,0.178,0.182,0.195,0.206,0.206,0.19,0.163,0.133,0.108,0.092,0.083,0.078,0.075,0.075,0.076,0.077,0.078,0.079,0.078,0.076,0.075,0.075,0.076,0.078,0.081,0.085,0.087,0.089,0.09,0.09,0.089,0.088,0.086,0.087,0.099,0.125,0.166,0.207,0.235,0.246,0.249,0.253,0.259,0.257,0.24,0.219,0.209,0.217,0.24,0.265,0.282,0.286,0.274,0.246,0.207,0.172,0.157,0.173,0.209,0.242,0.252,0.234,0.202,0.178,0.176,0.193,0.221,0.251,0.278,0.298,0.305,0.292,0.258,0.215,0.183,0.177,0.196,0.227,0.258,0.277,0.281,0.267,0.238,0.203,0.171,0.149,0.139,0.14,0.145,0.151,0.154,0.157,0.165,0.181,0.204,0.228,0.245,0.251,0.248,0.243,0.236,0.226,0.212,0.194,0.178,0.167,0.162,0.156,0.146,0.131,0.113,0.099,0.087,0.079,0.072,0.068,0.066,0.065,0.065,0.064,0.063,0.063,0.062,0.062,0.062,0.062,0.062,0.061,0.059,0.056,0.053,0.049,0.044,0.039,0.034,0.031,0.028,0.027,0.027,0.028,0.03,0.032,0.037,0.045,0.062,0.09,0.128,0.171,0.213,0.248,0.267,0.265,0.244,0.215,0.193,0.187,0.195,0.201,0.192,0.164,0.127,0.091,0.065,0.049,0.04,0.034,0.031,0.029,0.029,0.029,0.03,0.034,0.041,0.051,0.064,0.082,0.105,0.131,0.152,0.164,0.166,0.166,0.17,0.179,0.193,0.209,0.226,0.241,0.245,0.233,0.21,0.19,0.186,0.202,0.226,0.245,0.252,0.246,0.23,0.208,0.198,0.223,0.304,0.439,0.589,0.711,0.777,0.79,0.773,0.744,0.71,0.671,0.627,0.582,0.538,0.498,0.461,0.428,0.395,0.365,0.339,0.322,0.315,0.318,0.328,0.342,0.353,0.355,0.347,0.332,0.316,0.304,0.299,0.301,0.305,0.308,0.307,0.303,0.297,0.291,0.282,0.273,0.265,0.262,0.264,0.266,0.262,0.249,0.233,0.22,0.212,0.209,0.207,0.203,0.198,0.194,0.192,0.195,0.204,0.215,0.226,0.235,0.242,0.247,0.251,0.254,0.256,0.258,0.262,0.268,0.276,0.288,0.301,0.309,0.31,0.303,0.292,0.282,0.274,0.268,0.262,0.255,0.249,0.244,0.24,0.235,0.229,0.224,0.219,0.216,0.219,0.235,0.282,0.372,0.501,0.643,0.763,0.836,0.86,0.845,0.803,0.741,0.67,0.594,0.52,0.449,0.385,0.332,0.291,0.262,0.244,0.239,0.252,0.298,0.378,0.487,0.594,0.675,0.717,0.725,0.71,0.681,0.643,0.602,0.559,0.518,0.479,0.444,0.413,0.381,0.347,0.312,0.282,0.263,0.257,0.264,0.279,0.298,0.311,0.315,0.307,0.294,0.283,0.281,0.288,0.299,0.312,0.328,0.352,0.384,0.412,0.416,0.386,0.332,0.28,0.251,0.246,0.251,0.251,0.241,0.226,0.214,0.211,0.216,0.225,0.234,0.239,0.238,0.234,0.229,0.226,0.226,0.23,0.238,0.249,0.261,0.271,0.278,0.283,0.284,0.283,0.282,0.285,0.294,0.305,0.315,0.316,0.31,0.301,0.293,0.289,0.287,0.287,0.286,0.285,0.282,0.276,0.271,0.266,0.265,0.269,0.275,0.285,0.304,0.346,0.421,0.525,0.633,0.719,0.765,0.774,0.756,0.724,0.691,0.672,0.677,0.705,0.741,0.767,0.771,0.753,0.72,0.679,0.637,0.604,0.591,0.606,0.647,0.695,0.731,0.74,0.724,0.695,0.664,0.638,0.617,0.6,0.587,0.576,0.563,0.548,0.529,0.509,0.491,0.477,0.465,0.455,0.448,0.443,0.441,0.437,0.428,0.412,0.393,0.373,0.358,0.349,0.346,0.345,0.342,0.337,0.33,0.325,0.325,0.327,0.332,0.341,0.355,0.371,0.386,0.393,0.393,0.386,0.375,0.361,0.347,0.334,0.323,0.315,0.311,0.311,0.317,0.329,0.348,0.369,0.39,0.407,0.42,0.427,0.429,0.426,0.419,0.411,0.406,0.405,0.404,0.402,0.398,0.391,0.384,0.377,0.373,0.37,0.368,0.367,0.367,0.366,0.365,0.361,0.355,0.348,0.344,0.344,0.348,0.354,0.36,0.364,0.367,0.371,0.377,0.384,0.391,0.394,0.394,0.385,0.368,0.343,0.316,0.296,0.286,0.286,0.29,0.297,0.306,0.315,0.322,0.32,0.31,0.294,0.284,0.286,0.303,0.327,0.348,0.362,0.369,0.373,0.375,0.376,0.372,0.362,0.35,0.338,0.33,0.325,0.32,0.314,0.31,0.313,0.323,0.339,0.355,0.365,0.365,0.358,0.348,0.342,0.343,0.348,0.355,0.359,0.362,0.363,0.362,0.359,0.354,0.347,0.336,0.324,0.311,0.302,0.298,0.3,0.304,0.308,0.309,0.305,0.297,0.289,0.281,0.274,0.267,0.26,0.254,0.249,0.249,0.253,0.264,0.277,0.291,0.302,0.309,0.315,0.321,0.327,0.334,0.34,0.346,0.35,0.353,0.354,0.352,0.348,0.344,0.34,0.338,0.335,0.33,0.324,0.317,0.31,0.305,0.304,0.305,0.309,0.313,0.315,0.316,0.316,0.318,0.32,0.322,0.322,0.319,0.317,0.316,0.319,0.322,0.325,0.323,0.319,0.313,0.306,0.298,0.285,0.267,0.244,0.221,0.198,0.174,0.148,0.119,0.09,0.066,0.05,0.042,0.037,0.035,0.032,0.029,0.027,0.024,0.021,0.018,0.015,0.014]