[0.074,0.083,0.101,0.12,0.132,0.138,0.138,0.136,0.135,0.133,0.132,0.131,0.13,0.128,0.127,0.125,0.123,0.122,0.121,0.12,0.119,0.117,0.116,0.113,0.111,0.108,0.106,0.104,0.101,0.099,0.096,0.094,0.091,0.089,0.086,0.084,0.082,0.079,0.077,0.074,0.07,0.067,0.064,0.062,0.059,0.056,0.054,0.051,0.048,0.046,0.043,0.041,0.039,0.037,0.035,0.033,0.032,0.03,0.028,0.027,0.026,0.025,0.024,0.023,0.022,0.021,0.02,0.019,0.018,0.017,0.017,0.016,0.016,0.015,0.015,0.017,0.023,0.036,0.058,0.087,0.117,0.14,0.152,0.155,0.153,0.149,0.145,0.143,0.142,0.141,0.14,0.137,0.135,0.133,0.132,0.131,0.129,0.127,0.125,0.123,0.121,0.12,0.119,0.119,0.118,0.117,0.115,0.113,0.11,0.107,0.104,0.102,0.1,0.099,0.098,0.098,0.098,0.098,0.097,0.096,0.095,0.093,0.091,0.089,0.087,0.085,0.084,0.083,0.082,0.081,0.08,0.078,0.077,0.076,0.074,0.072,0.069,0.067,0.064,0.062,0.06,0.059,0.057,0.056,0.054,0.052,0.051,0.05,0.048,0.048,0.046,0.045,0.045,0.045,0.048,0.057,0.071,0.091,0.111,0.128,0.137,0.139,0.137,0.134,0.13,0.129,0.129,0.129,0.129,0.128,0.126,0.125,0.123,0.122,0.12,0.117,0.114,0.111,0.11,0.109,0.109,0.11,0.11,0.11,0.108,0.107,0.106,0.104,0.102,0.099,0.096,0.092,0.09,0.09,0.091,0.092,0.094,0.094,0.094,0.093,0.091,0.089,0.086,0.083,0.081,0.079,0.077,0.076,0.076,0.076,0.076,0.075,0.074,0.073,0.07,0.068,0.065,0.063,0.061,0.059,0.058,0.057,0.056,0.056,0.055,0.054,0.053,0.051,0.049,0.047,0.046,0.045,0.048,0.056,0.071,0.093,0.117,0.137,0.151,0.156,0.157,0.154,0.151,0.149,0.147,0.145,0.143,0.141,0.137,0.134,0.131,0.129,0.128,0.126,0.125,0.123,0.122,0.12,0.119,0.117,0.115,0.112,0.11,0.108,0.107,0.105,0.104,0.104,0.103,0.102,0.101,0.099,0.098,0.096,0.094,0.092,0.09,0.09,0.089,0.089,0.088,0.087,0.086,0.084,0.082,0.08,0.079,0.077,0.076,0.074,0.073,0.071,0.07,0.068,0.067,0.065,0.064,0.063,0.063,0.062,0.061,0.06,0.058,0.056,0.054,0.053,0.051,0.05,0.048,0.047,0.049,0.054,0.066,0.083,0.102,0.118,0.129,0.135,0.136,0.137,0.138,0.14,0.142,0.143,0.141,0.137,0.132,0.127,0.124,0.123,0.123,0.124,0.124,0.123,0.12,0.117,0.113,0.11,0.107,0.105,0.103,0.102,0.1,0.099,0.096,0.092,0.089,0.087,0.085,0.084,0.084,0.085,0.084,0.08,0.074,0.067,0.062,0.057,0.054,0.053,0.052,0.052,0.051,0.049,0.047,0.046,0.046,0.045,0.043,0.039,0.035,0.032,0.03,0.028,0.026,0.024,0.022,0.021,0.02,0.02,0.019,0.018,0.018,0.017,0.016,0.016,0.015,0.016,0.02,0.03,0.049,0.077,0.107,0.132,0.148,0.154,0.154,0.151,0.149,0.15,0.153,0.155,0.153,0.149,0.143,0.138,0.134,0.133,0.132,0.132,0.131,0.129,0.127,0.123,0.121,0.119,0.118,0.118,0.117,0.117,0.115,0.113,0.111,0.108,0.106,0.105,0.105,0.104,0.104,0.103,0.103,0.102,0.099,0.096,0.093,0.09,0.089,0.088,0.087,0.087,0.086,0.085,0.084,0.083,0.082,0.08,0.079,0.078,0.077,0.077,0.075,0.072,0.067,0.063,0.059,0.057,0.055,0.053,0.052,0.05,0.049,0.048,0.047,0.046,0.045,0.045,0.046,0.052,0.064,0.083,0.105,0.124,0.135,0.139,0.137,0.135,0.135,0.138,0.143,0.146,0.146,0.141,0.134,0.129,0.125,0.123,0.121,0.119,0.117,0.114,0.111,0.11,0.11,0.111,0.112,0.112,0.112,0.112,0.113,0.112,0.108,0.103,0.098,0.093,0.091,0.091,0.093,0.096,0.099,0.1,0.099,0.097,0.094,0.091,0.089,0.086,0.085,0.084,0.083,0.082,0.081,0.082,0.082,0.082,0.081,0.078,0.074,0.071,0.068,0.066,0.066,0.066,0.067,0.066,0.065,0.062,0.06,0.058,0.056,0.054,0.051,0.049,0.047,0.046,0.047,0.053,0.068,0.091,0.117,0.14,0.154,0.159,0.158,0.155,0.152,0.151,0.15,0.148,0.144,0.139,0.134,0.13,0.128,0.126,0.125,0.125,0.124,0.123,0.121,0.117,0.114,0.111,0.108,0.107,0.107,0.107,0.106,0.105,0.103,0.1,0.098,0.097,0.096,0.096,0.096,0.098,0.099,0.099,0.098,0.096,0.094,0.093,0.093,0.094,0.097,0.101,0.104,0.103,0.099,0.094,0.09,0.086,0.082,0.078,0.074,0.071,0.068,0.067,0.066,0.066,0.067,0.067,0.065,0.062,0.06,0.058,0.057,0.054,0.05,0.046,0.043,0.042,0.045,0.056,0.078,0.109,0.144,0.182,0.224,0.274,0.329,0.379,0.415,0.433,0.438,0.434,0.428,0.42,0.411,0.402,0.394,0.386,0.379,0.372,0.366,0.358,0.351,0.343,0.336,0.329,0.324,0.323,0.333,0.36,0.404,0.455,0.498,0.516,0.501,0.453,0.391,0.333,0.299,0.289,0.295,0.298,0.288,0.266,0.242,0.223,0.212,0.206,0.202,0.198,0.195,0.192,0.188,0.185,0.182,0.179,0.175,0.171,0.166,0.162,0.159,0.155,0.152,0.149,0.146,0.143,0.14,0.138,0.135,0.132,0.13,0.127,0.124,0.122,0.119,0.118,0.124,0.147,0.201,0.292,0.406,0.512,0.579,0.592,0.56,0.51,0.466,0.439,0.424,0.417,0.411,0.406,0.4,0.394,0.389,0.385,0.381,0.375,0.368,0.36,0.351,0.343,0.335,0.329,0.324,0.323,0.331,0.353,0.387,0.421,0.434,0.412,0.365,0.312,0.277,0.266,0.275,0.292,0.306,0.31,0.301,0.28,0.257,0.239,0.227,0.221,0.216,0.212,0.208,0.205,0.201,0.198,0.195,0.193,0.194,0.204,0.231,0.272,0.316,0.345,0.347,0.324,0.287,0.248,0.215,0.193,0.186,0.189,0.194,0.192,0.179,0.162,0.147,0.139,0.144,0.175,0.247,0.361,0.49,0.586,0.613,0.574,0.505,0.448,0.421,0.417,0.421,0.421,0.415,0.405,0.394,0.385,0.38,0.376,0.372,0.366,0.358,0.349,0.34,0.332,0.327,0.323,0.321,0.324,0.337,0.368,0.414,0.46,0.483,0.468,0.417,0.356,0.307,0.284,0.283,0.294,0.307,0.311,0.302,0.282,0.259,0.242,0.233,0.228,0.225,0.223,0.22,0.217,0.213,0.209,0.204,0.201,0.198,0.196,0.193,0.188,0.183,0.178,0.174,0.172,0.172,0.171,0.17,0.167,0.163,0.159,0.154,0.15,0.146,0.143,0.142,0.142,0.152,0.185,0.252,0.352,0.456,0.531,0.558,0.548,0.521,0.494,0.473,0.458,0.449,0.445,0.443,0.44,0.434,0.426,0.418,0.411,0.405,0.399,0.392,0.386,0.378,0.37,0.363,0.358,0.355,0.355,0.363,0.381,0.407,0.433,0.446,0.44,0.413,0.376,0.34,0.315,0.305,0.309,0.318,0.325,0.322,0.31,0.295,0.281,0.27,0.263,0.258,0.256,0.255,0.254,0.251,0.245,0.237,0.23,0.226,0.23,0.249,0.285,0.332,0.372,0.387,0.372,0.336,0.292,0.254,0.229,0.216,0.214,0.213,0.209,0.199,0.187,0.178,0.173,0.172,0.174,0.179,0.184,0.191,0.202,0.225,0.264,0.314,0.365,0.405,0.429,0.437,0.436,0.43,0.422,0.413,0.404,0.396,0.389,0.383,0.377,0.371,0.366,0.359,0.352,0.344,0.337,0.331,0.328,0.332,0.349,0.384,0.433,0.481,0.512,0.511,0.476,0.418,0.359,0.317,0.3,0.302,0.306,0.3,0.282,0.258,0.237,0.224,0.217,0.212,0.208,0.205,0.201,0.197,0.193,0.189,0.186,0.182,0.178,0.174,0.169,0.165,0.162,0.158,0.155,0.152,0.149,0.146,0.143,0.14,0.137,0.134,0.131,0.128,0.126,0.123,0.121,0.123,0.138,0.181,0.261,0.373,0.49,0.578,0.612,0.595,0.552,0.507,0.474,0.455,0.445,0.438,0.432,0.425,0.418,0.412,0.407,0.402,0.396,0.389,0.382,0.373,0.363,0.355,0.348,0.342,0.338,0.339,0.352,0.38,0.417,0.443,0.438,0.398,0.343,0.298,0.278,0.282,0.298,0.314,0.322,0.316,0.298,0.275,0.255,0.241,0.233,0.228,0.224,0.221,0.218,0.215,0.212,0.209,0.206,0.205,0.209,0.226,0.261,0.306,0.346,0.361,0.348,0.314,0.272,0.233,0.204,0.191,0.191,0.198,0.199,0.19,0.173,0.156,0.145,0.144,0.164,0.22,0.322,0.455,0.575,0.637,0.624,0.562,0.497,0.456,0.441,0.437,0.434,0.427,0.419,0.413,0.408,0.406,0.404,0.401,0.393,0.382,0.369,0.357,0.349,0.344,0.342,0.34,0.338,0.341,0.358,0.395,0.444,0.482,0.487,0.449,0.388,0.331,0.298,0.288,0.294,0.306,0.315,0.313,0.301,0.283,0.267,0.256,0.249,0.242,0.234,0.227,0.221,0.218,0.217,0.217,0.217,0.214,0.21,0.204,0.2,0.196,0.192,0.189,0.185,0.182,0.18,0.178,0.174,0.17,0.165,0.162,0.159,0.157,0.156,0.154,0.152,0.15,0.152,0.166,0.2,0.258,0.334,0.414,0.478,0.512,0.513,0.493,0.466,0.443,0.428,0.417,0.408,0.399,0.39,0.382,0.375,0.368,0.361,0.355,0.348,0.341,0.335,0.329,0.323,0.317,0.313,0.312,0.322,0.352,0.399,0.448,0.476,0.464,0.417,0.357,0.307,0.28,0.276,0.287,0.299,0.3,0.287,0.265,0.244,0.228,0.219,0.215,0.214,0.213,0.211,0.207,0.202,0.197,0.193,0.191,0.193,0.206,0.236,0.278,0.315,0.328,0.309,0.27,0.226,0.193,0.173,0.165,0.166,0.171,0.172,0.165,0.152,0.138,0.128,0.122,0.12,0.119,0.119,0.122,0.126,0.131,0.135,0.138,0.138,0.138,0.138,0.14,0.141,0.141,0.139,0.135,0.131,0.127,0.125,0.123,0.122,0.121,0.12,0.118,0.116,0.114,0.112,0.109,0.107,0.104,0.102,0.101,0.099,0.098,0.095,0.091,0.088,0.085,0.082,0.081,0.08,0.08,0.078,0.075,0.071,0.066,0.061,0.057,0.054,0.052,0.052,0.051,0.05,0.048,0.044,0.04,0.036,0.034,0.032,0.031,0.031,0.03,0.029,0.028,0.026,0.024,0.022,0.021,0.02,0.02,0.019,0.018,0.018,0.017,0.016,0.016,0.015,0.016,0.02,0.03,0.049,0.077,0.107,0.132,0.148,0.154,0.154,0.15,0.148,0.149,0.151,0.152,0.151,0.148,0.142,0.137,0.134,0.132,0.131,0.129,0.127,0.124,0.122,0.12,0.119,0.118,0.118,0.118,0.118,0.117,0.116,0.114,0.11,0.106,0.103,0.1,0.099,0.1,0.101,0.102,0.103,0.102,0.1,0.096,0.093,0.091,0.089,0.088,0.087,0.087,0.086,0.085,0.083,0.081,0.079,0.077,0.076,0.074,0.072,0.07,0.067,0.065,0.062,0.06,0.058,0.056,0.055,0.053,0.052,0.051,0.049,0.048,0.047,0.046,0.045,0.046,0.054,0.079,0.129,0.205,0.293,0.372,0.425,0.449,0.45,0.439,0.425,0.413,0.406,0.402,0.4,0.397,0.393,0.388,0.382,0.376,0.369,0.361,0.353,0.346,0.341,0.337,0.332,0.327,0.321,0.314,0.307,0.304,0.302,0.301,0.299,0.294,0.286,0.277,0.268,0.261,0.257,0.256,0.255,0.254,0.252,0.249,0.244,0.238,0.231,0.225,0.219,0.216,0.215,0.214,0.212,0.208,0.204,0.199,0.195,0.191,0.188,0.185,0.182,0.179,0.175,0.171,0.168,0.165,0.162,0.16,0.157,0.155,0.153,0.152,0.149,0.146,0.142,0.141,0.154,0.196,0.276,0.383,0.481,0.541,0.552,0.535,0.512,0.495,0.48,0.466,0.451,0.437,0.427,0.42,0.417,0.417,0.416,0.412,0.406,0.398,0.389,0.381,0.375,0.371,0.367,0.362,0.356,0.352,0.355,0.371,0.4,0.43,0.444,0.433,0.399,0.356,0.32,0.298,0.289,0.286,0.285,0.282,0.277,0.271,0.265,0.261,0.259,0.259,0.26,0.26,0.257,0.251,0.244,0.237,0.232,0.23,0.231,0.241,0.265,0.304,0.349,0.382,0.387,0.364,0.323,0.279,0.242,0.216,0.199,0.189,0.184,0.181,0.179,0.177,0.174,0.17,0.168,0.168,0.173,0.18,0.19,0.206,0.235,0.279,0.333,0.385,0.423,0.442,0.448,0.444,0.438,0.429,0.42,0.41,0.402,0.393,0.384,0.376,0.367,0.358,0.35,0.341,0.334,0.327,0.321,0.321,0.331,0.356,0.399,0.45,0.495,0.516,0.504,0.46,0.398,0.338,0.293,0.266,0.253,0.246,0.241,0.235,0.229,0.223,0.218,0.213,0.209,0.205,0.201,0.197,0.193,0.188,0.184,0.18,0.176,0.173,0.17,0.166,0.163,0.159,0.156,0.153,0.15,0.147,0.144,0.141,0.139,0.136,0.133,0.13,0.128,0.125,0.122,0.121,0.126,0.148,0.201,0.292,0.409,0.523,0.599,0.619,0.589,0.537,0.49,0.46,0.444,0.436,0.429,0.423,0.418,0.413,0.409,0.405,0.4,0.393,0.385,0.376,0.368,0.361,0.355,0.348,0.344,0.342,0.349,0.368,0.399,0.431,0.443,0.422,0.374,0.321,0.283,0.267,0.266,0.268,0.267,0.262,0.256,0.251,0.247,0.243,0.24,0.235,0.231,0.227,0.222,0.218,0.214,0.21,0.206,0.203,0.202,0.21,0.233,0.272,0.317,0.35,0.356,0.336,0.3,0.259,0.222,0.193,0.174,0.163,0.157,0.154,0.151,0.147,0.144,0.143,0.15,0.182,0.256,0.373,0.506,0.607,0.639,0.602,0.533,0.473,0.442,0.435,0.437,0.438,0.433,0.426,0.416,0.407,0.399,0.393,0.387,0.381,0.374,0.367,0.361,0.354,0.348,0.341,0.336,0.336,0.348,0.377,0.423,0.472,0.498,0.484,0.433,0.368,0.317,0.29,0.281,0.28,0.278,0.273,0.266,0.258,0.251,0.245,0.241,0.237,0.234,0.232,0.231,0.229,0.225,0.22,0.214,0.208,0.205,0.203,0.201,0.198,0.194,0.189,0.184,0.179,0.176,0.174,0.173,0.171,0.169,0.166,0.162,0.158,0.154,0.151,0.149,0.147,0.149,0.159,0.183,0.227,0.292,0.369,0.443,0.496,0.517,0.509,0.484,0.457,0.437,0.422,0.412,0.403,0.395,0.388,0.383,0.377,0.37,0.363,0.356,0.349,0.342,0.335,0.329,0.322,0.317,0.313,0.315,0.331,0.363,0.409,0.451,0.468,0.447,0.397,0.338,0.29,0.263,0.25,0.245,0.241,0.237,0.232,0.228,0.223,0.219,0.216,0.215,0.214,0.213,0.211,0.206,0.199,0.192,0.186,0.183,0.187,0.207,0.247,0.295,0.331,0.335,0.305,0.258,0.212,0.179,0.16,0.15,0.144,0.14,0.137,0.134,0.131,0.128,0.125,0.125,0.13,0.141,0.157,0.174,0.194,0.22,0.258,0.306,0.357,0.397,0.421,0.43,0.43,0.425,0.417,0.408,0.398,0.39,0.382,0.375,0.368,0.362,0.356,0.349,0.342,0.335,0.328,0.322,0.318,0.322,0.342,0.38,0.433,0.485,0.517,0.515,0.479,0.419,0.358,0.313,0.296,0.297,0.302,0.297,0.279,0.254,0.233,0.219,0.211,0.206,0.202,0.198,0.194,0.189,0.186,0.182,0.179,0.176,0.173,0.169,0.164,0.161,0.157,0.154,0.151,0.148,0.145,0.142,0.139,0.136,0.133,0.131,0.128,0.125,0.123,0.12,0.119,0.122,0.138,0.182,0.261,0.371,0.485,0.57,0.601,0.581,0.534,0.485,0.45,0.432,0.423,0.419,0.413,0.407,0.399,0.393,0.388,0.383,0.378,0.373,0.366,0.358,0.35,0.341,0.334,0.326,0.321,0.32,0.332,0.362,0.401,0.431,0.43,0.392,0.335,0.285,0.26,0.26,0.275,0.294,0.306,0.304,0.291,0.27,0.251,0.237,0.23,0.225,0.222,0.219,0.215,0.211,0.205,0.2,0.195,0.194,0.198,0.216,0.25,0.296,0.336,0.352,0.34,0.307,0.266,0.227,0.198,0.184,0.184,0.19,0.192,0.185,0.169,0.153,0.141,0.14,0.158,0.212,0.311,0.441,0.56,0.62,0.606,0.543,0.475,0.433,0.419,0.418,0.417,0.41,0.401,0.393,0.388,0.386,0.385,0.382,0.376,0.366,0.353,0.341,0.332,0.326,0.323,0.322,0.321,0.325,0.343,0.38,0.43,0.47,0.478,0.442,0.382,0.323,0.287,0.275,0.282,0.294,0.304,0.302,0.289,0.27,0.253,0.243,0.238,0.233,0.228,0.221,0.213,0.207,0.204,0.203,0.203,0.201,0.198,0.193,0.19,0.186,0.183,0.18,0.177,0.174,0.172,0.17,0.168,0.164,0.159,0.155,0.152,0.149,0.147,0.145,0.144,0.146,0.163,0.21,0.294,0.399,0.49,0.541,0.547,0.529,0.505,0.483,0.464,0.449,0.439,0.435,0.435,0.434,0.43,0.422,0.413,0.404,0.399,0.396,0.394,0.39,0.383,0.373,0.361,0.351,0.345,0.347,0.361,0.386,0.419,0.445,0.451,0.432,0.394,0.352,0.322,0.309,0.312,0.322,0.329,0.328,0.316,0.299,0.284,0.273,0.266,0.261,0.257,0.256,0.256,0.255,0.253,0.248,0.242,0.236,0.234,0.246,0.275,0.319,0.362,0.387,0.382,0.353,0.309,0.266,0.232,0.213,0.208,0.211,0.211,0.205,0.192,0.18,0.171,0.167,0.168,0.173,0.18,0.188,0.198,0.215,0.247,0.295,0.348,0.395,0.426,0.441,0.444,0.441,0.435,0.427,0.418,0.409,0.402,0.394,0.387,0.38,0.374,0.367,0.36,0.352,0.345,0.338,0.333,0.334,0.346,0.377,0.423,0.474,0.512,0.521,0.498,0.446,0.386,0.335,0.307,0.301,0.304,0.302,0.289,0.267,0.245,0.229,0.219,0.213,0.209,0.204,0.2,0.196,0.192,0.189,0.185,0.182,0.178,0.173,0.169,0.165,0.161,0.158,0.155,0.151,0.148,0.145,0.143,0.14,0.137,0.134,0.132,0.129,0.126,0.124,0.121,0.121,0.13,0.159,0.223,0.324,0.442,0.546,0.605,0.609,0.572,0.523,0.481,0.455,0.442,0.437,0.432,0.426,0.42,0.414,0.408,0.401,0.395,0.389,0.382,0.375,0.367,0.36,0.353,0.346,0.34,0.338,0.347,0.371,0.407,0.438,0.445,0.416,0.364,0.312,0.282,0.276,0.286,0.303,0.316,0.319,0.307,0.286,0.263,0.247,0.237,0.231,0.227,0.224,0.221,0.218,0.214,0.21,0.207,0.205,0.206,0.218,0.246,0.287,0.326,0.348,0.344,0.319,0.283,0.246,0.215,0.197,0.193,0.197,0.2,0.195,0.18,0.163,0.149,0.144,0.155,0.197,0.283,0.41,0.542,0.628,0.641,0.593,0.524,0.471,0.443,0.434,0.43,0.426,0.422,0.418,0.413,0.409,0.404,0.397,0.389,0.379,0.369,0.361,0.355,0.352,0.349,0.345,0.341,0.342,0.357,0.39,0.438,0.48,0.494,0.466,0.411,0.351,0.309,0.289,0.29,0.301,0.314,0.32,0.313,0.295,0.274,0.257,0.245,0.237,0.231,0.227,0.225,0.224,0.223,0.221,0.217,0.212,0.207,0.202,0.197,0.193,0.189,0.186,0.185,0.184,0.183,0.18,0.175,0.17,0.166,0.163,0.161,0.16,0.158,0.155,0.151,0.147,0.148,0.158,0.187,0.238,0.309,0.389,0.46,0.506,0.519,0.506,0.479,0.452,0.434,0.422,0.412,0.403,0.394,0.385,0.377,0.37,0.363,0.357,0.352,0.346,0.341,0.335,0.33,0.324,0.319,0.316,0.323,0.344,0.382,0.427,0.461,0.463,0.431,0.376,0.322,0.285,0.273,0.279,0.292,0.297,0.289,0.269,0.247,0.23,0.221,0.216,0.215,0.214,0.214,0.211,0.206,0.2,0.195,0.191,0.191,0.199,0.224,0.264,0.306,0.329,0.321,0.286,0.242,0.203,0.178,0.165,0.164,0.168,0.171,0.168,0.157,0.144,0.132,0.125,0.121,0.118,0.117,0.116]