[0.068,0.08,0.101,0.118,0.121,0.114,0.101,0.09,0.082,0.076,0.074,0.076,0.083,0.091,0.094,0.088,0.074,0.06,0.052,0.054,0.063,0.072,0.079,0.082,0.083,0.085,0.089,0.093,0.096,0.095,0.09,0.083,0.076,0.071,0.074,0.088,0.112,0.142,0.169,0.184,0.186,0.178,0.163,0.146,0.126,0.108,0.093,0.082,0.074,0.069,0.067,0.068,0.071,0.073,0.071,0.068,0.063,0.058,0.055,0.052,0.05,0.048,0.045,0.042,0.039,0.037,0.036,0.035,0.034,0.035,0.035,0.036,0.037,0.039,0.043,0.048,0.056,0.066,0.08,0.096,0.116,0.14,0.166,0.189,0.205,0.214,0.216,0.216,0.215,0.214,0.213,0.209,0.203,0.196,0.187,0.175,0.161,0.142,0.123,0.106,0.095,0.091,0.096,0.104,0.11,0.111,0.107,0.1,0.092,0.086,0.08,0.075,0.07,0.066,0.065,0.066,0.07,0.075,0.077,0.077,0.074,0.069,0.063,0.057,0.052,0.046,0.042,0.039,0.037,0.035,0.034,0.032,0.031,0.029,0.028,0.033,0.048,0.076,0.111,0.145,0.169,0.181,0.181,0.174,0.162,0.147,0.132,0.117,0.104,0.094,0.087,0.086,0.089,0.093,0.095,0.092,0.085,0.078,0.072,0.068,0.065,0.061,0.056,0.05,0.044,0.039,0.036,0.036,0.045,0.068,0.105,0.15,0.187,0.205,0.199,0.177,0.152,0.135,0.126,0.119,0.107,0.091,0.078,0.075,0.083,0.097,0.106,0.106,0.099,0.091,0.088,0.093,0.1,0.101,0.094,0.082,0.07,0.063,0.059,0.056,0.057,0.07,0.109,0.18,0.272,0.354,0.394,0.382,0.338,0.29,0.255,0.232,0.215,0.2,0.188,0.181,0.177,0.172,0.159,0.138,0.115,0.104,0.115,0.143,0.178,0.207,0.22,0.221,0.215,0.209,0.204,0.198,0.187,0.172,0.156,0.144,0.14,0.142,0.146,0.148,0.145,0.141,0.141,0.145,0.153,0.164,0.182,0.208,0.241,0.27,0.286,0.287,0.276,0.264,0.269,0.299,0.351,0.401,0.422,0.401,0.351,0.298,0.258,0.234,0.216,0.2,0.185,0.175,0.166,0.156,0.137,0.111,0.082,0.059,0.047,0.045,0.047,0.048,0.048,0.048,0.048,0.048,0.049,0.05,0.057,0.079,0.12,0.177,0.229,0.254,0.244,0.214,0.188,0.183,0.191,0.196,0.187,0.164,0.136,0.113,0.099,0.097,0.105,0.117,0.124,0.125,0.125,0.147,0.204,0.287,0.357,0.381,0.351,0.293,0.238,0.202,0.183,0.171,0.162,0.154,0.149,0.144,0.134,0.116,0.092,0.067,0.052,0.048,0.051,0.056,0.059,0.062,0.065,0.067,0.069,0.07,0.07,0.071,0.078,0.093,0.117,0.15,0.185,0.215,0.234,0.24,0.238,0.236,0.237,0.241,0.244,0.242,0.238,0.232,0.229,0.226,0.225,0.227,0.237,0.264,0.312,0.367,0.403,0.399,0.353,0.288,0.226,0.181,0.154,0.14,0.132,0.13,0.133,0.139,0.149,0.162,0.184,0.221,0.273,0.33,0.376,0.401,0.402,0.386,0.36,0.332,0.307,0.29,0.278,0.268,0.258,0.248,0.242,0.25,0.275,0.317,0.361,0.393,0.405,0.401,0.39,0.38,0.375,0.37,0.361,0.345,0.327,0.312,0.304,0.302,0.307,0.326,0.366,0.418,0.462,0.474,0.448,0.398,0.338,0.28,0.226,0.18,0.147,0.127,0.12,0.122,0.125,0.121,0.109,0.096,0.101,0.14,0.213,0.296,0.351,0.357,0.317,0.264,0.221,0.199,0.192,0.19,0.191,0.195,0.202,0.214,0.228,0.24,0.243,0.23,0.204,0.176,0.155,0.146,0.146,0.146,0.143,0.14,0.142,0.15,0.163,0.174,0.186,0.207,0.248,0.312,0.383,0.433,0.445,0.422,0.389,0.361,0.346,0.334,0.318,0.295,0.27,0.249,0.236,0.23,0.224,0.214,0.201,0.19,0.182,0.179,0.174,0.165,0.153,0.143,0.143,0.152,0.163,0.167,0.16,0.148,0.133,0.12,0.108,0.098,0.094,0.098,0.112,0.136,0.164,0.19,0.209,0.215,0.209,0.193,0.174,0.161,0.155,0.156,0.16,0.17,0.193,0.234,0.291,0.344,0.374,0.371,0.341,0.302,0.268,0.243,0.225,0.21,0.198,0.187,0.179,0.172,0.164,0.154,0.141,0.128,0.116,0.107,0.102,0.098,0.095,0.093,0.092,0.093,0.095,0.095,0.094,0.09,0.086,0.083,0.08,0.078,0.078,0.077,0.077,0.078,0.082,0.089,0.096,0.098,0.093,0.086,0.082,0.086,0.096,0.105,0.107,0.106,0.114,0.148,0.208,0.278,0.325,0.331,0.299,0.259,0.234,0.232,0.245,0.258,0.263,0.26,0.255,0.255,0.261,0.269,0.273,0.273,0.269,0.265,0.264,0.266,0.27,0.274,0.28,0.289,0.296,0.295,0.279,0.244,0.198,0.155,0.128,0.122,0.128,0.137,0.144,0.153,0.17,0.197,0.227,0.246,0.246,0.231,0.211,0.201,0.204,0.212,0.216,0.219,0.24,0.292,0.368,0.437,0.468,0.454,0.416,0.377,0.349,0.332,0.322,0.316,0.315,0.318,0.324,0.328,0.325,0.314,0.301,0.299,0.317,0.356,0.396,0.416,0.405,0.374,0.343,0.325,0.321,0.321,0.316,0.312,0.318,0.342,0.379,0.406,0.404,0.369,0.322,0.284,0.264,0.254,0.249,0.253,0.273,0.307,0.343,0.367,0.375,0.373,0.369,0.373,0.391,0.422,0.449,0.455,0.431,0.389,0.35,0.328,0.324,0.331,0.34,0.348,0.355,0.357,0.351,0.333,0.304,0.272,0.249,0.254,0.292,0.352,0.402,0.419,0.393,0.345,0.3,0.271,0.258,0.251,0.247,0.251,0.273,0.318,0.374,0.411,0.41,0.378,0.342,0.324,0.326,0.328,0.317,0.292,0.266,0.252,0.254,0.268,0.281,0.288,0.294,0.314,0.355,0.408,0.45,0.461,0.437,0.394,0.351,0.319,0.302,0.294,0.294,0.302,0.317,0.334,0.346,0.342,0.321,0.287,0.26,0.26,0.297,0.364,0.43,0.467,0.462,0.429,0.388,0.352,0.323,0.3,0.284,0.285,0.312,0.361,0.41,0.429,0.4,0.337,0.273,0.233,0.218,0.213,0.204,0.189,0.174,0.166,0.166,0.172,0.186,0.205,0.234,0.278,0.338,0.395,0.419,0.389,0.31,0.214,0.135,0.09,0.075,0.078,0.085,0.089,0.085,0.075,0.062,0.05,0.04,0.033,0.026,0.022,0.021,0.023,0.025,0.029,0.036,0.048,0.062,0.076,0.085,0.09,0.092,0.091,0.087,0.077,0.063,0.046,0.033,0.033,0.055,0.098,0.152,0.203,0.234,0.243,0.234,0.216,0.199,0.187,0.182,0.191,0.223,0.28,0.349,0.404,0.425,0.411,0.382,0.355,0.34,0.334,0.328,0.318,0.306,0.293,0.277,0.253,0.217,0.18,0.159,0.174,0.23,0.308,0.374,0.401,0.383,0.34,0.299,0.274,0.265,0.264,0.267,0.276,0.295,0.33,0.373,0.406,0.41,0.38,0.334,0.294,0.272,0.26,0.247,0.231,0.22,0.225,0.244,0.268,0.285,0.291,0.291,0.298,0.323,0.366,0.414,0.442,0.44,0.412,0.38,0.358,0.35,0.35,0.353,0.354,0.353,0.346,0.327,0.292,0.243,0.197,0.175,0.192,0.247,0.319,0.376,0.392,0.364,0.314,0.271,0.249,0.247,0.254,0.264,0.278,0.303,0.343,0.389,0.417,0.41,0.373,0.329,0.299,0.289,0.287,0.284,0.276,0.269,0.268,0.277,0.292,0.307,0.317,0.324,0.335,0.361,0.398,0.434,0.448,0.435,0.403,0.374,0.357,0.354,0.356,0.359,0.361,0.362,0.364,0.365,0.362,0.357,0.353,0.355,0.369,0.396,0.427,0.443,0.431,0.393,0.351,0.321,0.31,0.31,0.312,0.314,0.319,0.338,0.374,0.416,0.442,0.433,0.392,0.343,0.307,0.291,0.284,0.275,0.261,0.248,0.24,0.237,0.236,0.234,0.228,0.225,0.235,0.268,0.32,0.372,0.399,0.395,0.377,0.371,0.39,0.424,0.444,0.436,0.409,0.388,0.395,0.427,0.46,0.466,0.445,0.417,0.411,0.433,0.468,0.485,0.473,0.441,0.419,0.422,0.445,0.462,0.455,0.424,0.392,0.383,0.401,0.431,0.448,0.439,0.41,0.379,0.358,0.349,0.341,0.328,0.305,0.278,0.249,0.226,0.214,0.213,0.221,0.239,0.27,0.313,0.359,0.391,0.402,0.396,0.386,0.378,0.373,0.367,0.36,0.355,0.351,0.349,0.34,0.317,0.278,0.232,0.201,0.208,0.257,0.332,0.399,0.429,0.419,0.387,0.358,0.342,0.338,0.338,0.34,0.346,0.365,0.399,0.435,0.453,0.441,0.406,0.371,0.351,0.346,0.347,0.345,0.341,0.336,0.332,0.327,0.322,0.319,0.323,0.338,0.37,0.415,0.459,0.477,0.459,0.414,0.368,0.341,0.34,0.352,0.366,0.371,0.366,0.354,0.334,0.303,0.258,0.202,0.151,0.129,0.156,0.23,0.323,0.397,0.431,0.431,0.418,0.406,0.4,0.395,0.388,0.382,0.384,0.404,0.438,0.471,0.483,0.466,0.431,0.397,0.377,0.377,0.387,0.398,0.402,0.397,0.384,0.373,0.367,0.368,0.374,0.386,0.408,0.435,0.455,0.453,0.427,0.392,0.368,0.363,0.375,0.392,0.406,0.413,0.412,0.406,0.397,0.389,0.383,0.383,0.391,0.41,0.438,0.463,0.471,0.453,0.419,0.387,0.368,0.365,0.37,0.377,0.384,0.396,0.417,0.444,0.466,0.472,0.461,0.439,0.419,0.405,0.394,0.381,0.368,0.356,0.35,0.348,0.35,0.352,0.355,0.361,0.373,0.396,0.428,0.459,0.477,0.474,0.458,0.449,0.455,0.469,0.468,0.438,0.387,0.338,0.314,0.322,0.351,0.385,0.411,0.424,0.425,0.417,0.402,0.384,0.365,0.354,0.36,0.386,0.42,0.438,0.425,0.389,0.358,0.358,0.387,0.423,0.44,0.432,0.412,0.397,0.393,0.399,0.411,0.43,0.458,0.488,0.512,0.52,0.507,0.475,0.432,0.397,0.387,0.405,0.437,0.458,0.461,0.449,0.439,0.438,0.444,0.447,0.443,0.434,0.422,0.407,0.382,0.339,0.28,0.219,0.181,0.19,0.247,0.331,0.402,0.435,0.432,0.416,0.406,0.404,0.401,0.394,0.388,0.392,0.41,0.437,0.458,0.457,0.429,0.386,0.347,0.325,0.317,0.313,0.307,0.3,0.297,0.302,0.311,0.321,0.327,0.333,0.346,0.374,0.417,0.459,0.478,0.466,0.433,0.401,0.382,0.377,0.374,0.369,0.363,0.359,0.355,0.346,0.327,0.297,0.265,0.246,0.257,0.3,0.358,0.403,0.417,0.399,0.373,0.357,0.358,0.366,0.374,0.378,0.384,0.402,0.434,0.468,0.481,0.461,0.418,0.375,0.35,0.342,0.339,0.33,0.316,0.303,0.296,0.293,0.292,0.288,0.282,0.281,0.295,0.33,0.379,0.421,0.436,0.424,0.398,0.38,0.375,0.378,0.383,0.384,0.382,0.379,0.375,0.369,0.359,0.348,0.343,0.352,0.38,0.419,0.447,0.447,0.417,0.377,0.346,0.333,0.333,0.335,0.335,0.338,0.353,0.385,0.422,0.445,0.436,0.399,0.356,0.327,0.318,0.319,0.318,0.318,0.326,0.346,0.373,0.392,0.388,0.358,0.316,0.286,0.289,0.325,0.371,0.401,0.406,0.402,0.411,0.439,0.474,0.494,0.49,0.47,0.456,0.457,0.47,0.479,0.469,0.446,0.427,0.425,0.437,0.443,0.425,0.384,0.344,0.332,0.354,0.394,0.423,0.427,0.412,0.404,0.419,0.452,0.476,0.472,0.446,0.422,0.425,0.454,0.488,0.502,0.485,0.452,0.427,0.429,0.453,0.475,0.472,0.444,0.417,0.417,0.447,0.486,0.506,0.495,0.456,0.399,0.33,0.255,0.185,0.133,0.113,0.122,0.151,0.182,0.201,0.205,0.193,0.174,0.153,0.133,0.113,0.094,0.078,0.068,0.065,0.067,0.072,0.075,0.075,0.072,0.068,0.063,0.063,0.066,0.073,0.082,0.092,0.101,0.107,0.107,0.102,0.097,0.096,0.102,0.112,0.119,0.119,0.114,0.112,0.13,0.183,0.265,0.344,0.387,0.381,0.342,0.299,0.267,0.245,0.225,0.205,0.184,0.165,0.148,0.131,0.115,0.102,0.094,0.089,0.083,0.074,0.063,0.054,0.047,0.04,0.032,0.023,0.014,0.008,0.005,0.004,0.004,0.005,0.007,0.012,0.022,0.039,0.066,0.098,0.13,0.156,0.172,0.178,0.179,0.179,0.179,0.178,0.172,0.16,0.144,0.138,0.163,0.226,0.315,0.392,0.426,0.413,0.376,0.339,0.316,0.303,0.294,0.285,0.274,0.258,0.234,0.204,0.169,0.134,0.103,0.078,0.062,0.053,0.049,0.048,0.05,0.054,0.06,0.067,0.072,0.071,0.066,0.058,0.05,0.042,0.038,0.036,0.036,0.036,0.034,0.034,0.036,0.037,0.036,0.031,0.026,0.026,0.033,0.046,0.062,0.079,0.1,0.136,0.199,0.283,0.362,0.404,0.398,0.359,0.311,0.266,0.225,0.183,0.143,0.109,0.082,0.062,0.048,0.038,0.031,0.026,0.024,0.024,0.027,0.029,0.029,0.026,0.025,0.026,0.029,0.032,0.032,0.031,0.03,0.029,0.027,0.022,0.016,0.014,0.022,0.044,0.08,0.124,0.165,0.193,0.205,0.204,0.195,0.185,0.177,0.171,0.166,0.168,0.187,0.237,0.318,0.41,0.484,0.522,0.527,0.517,0.507,0.5,0.489,0.473,0.452,0.43,0.404,0.366,0.312,0.248,0.197,0.186,0.23,0.317,0.41,0.469,0.476,0.444,0.403,0.377,0.369,0.373,0.379,0.386,0.4,0.427,0.464,0.494,0.495,0.463,0.413,0.373,0.352,0.348,0.348,0.347,0.346,0.349,0.358,0.372,0.387,0.4,0.413,0.431,0.464,0.508,0.55,0.571,0.563,0.539,0.52,0.515,0.524,0.538,0.551,0.562,0.566,0.555,0.521,0.464,0.396,0.335,0.304,0.315,0.368,0.443,0.506,0.535,0.528,0.507,0.492,0.49,0.497,0.508,0.521,0.537,0.559,0.581,0.59,0.575,0.537,0.491,0.457,0.442,0.442,0.446,0.452,0.462,0.474,0.485,0.492,0.497,0.501,0.507,0.514,0.526,0.542,0.561,0.568,0.558,0.535,0.513,0.505,0.511,0.522,0.533,0.541,0.547,0.548,0.542,0.529,0.513,0.503,0.504,0.522,0.554,0.586,0.596,0.571,0.518,0.462,0.426,0.416,0.425,0.443,0.463,0.486,0.515,0.548,0.576,0.582,0.557,0.512,0.469,0.444,0.438,0.44,0.442,0.445,0.452,0.459,0.463,0.462,0.46,0.461,0.47,0.492,0.526,0.564,0.589,0.593,0.581,0.576,0.591,0.619,0.639,0.633,0.609,0.59,0.596,0.625,0.65,0.646,0.611,0.568,0.547,0.56,0.586,0.594,0.565,0.516,0.479,0.481,0.512,0.541,0.535,0.497,0.456,0.45,0.485,0.535,0.562,0.55,0.518,0.502,0.52,0.558,0.579,0.562,0.519,0.485,0.489,0.526,0.564,0.568,0.534,0.489,0.471,0.491,0.526,0.526,0.464,0.352,0.231,0.141,0.093,0.075,0.071,0.07,0.069,0.068,0.066,0.062,0.054,0.043,0.033,0.028,0.03,0.037,0.046,0.055,0.061,0.063,0.061,0.055,0.047,0.038,0.031,0.027,0.027,0.029,0.032,0.035,0.039,0.047,0.06,0.077,0.09,0.094,0.089,0.083,0.087,0.105,0.132,0.156,0.167,0.159,0.137,0.11,0.091,0.085,0.09,0.101,0.111,0.119,0.123,0.124,0.124,0.121,0.118,0.116,0.113,0.11,0.107,0.104,0.101,0.098,0.095,0.092,0.089,0.086,0.082,0.079,0.076,0.073,0.069,0.066,0.063,0.064,0.079,0.112,0.161,0.206,0.228,0.217,0.186,0.151,0.128,0.113,0.101,0.086,0.072,0.062,0.059,0.06,0.061,0.06,0.057,0.054,0.054,0.059,0.067,0.076,0.083,0.086,0.088,0.089,0.091,0.095,0.102,0.111,0.117,0.12,0.118,0.115,0.113,0.113,0.113,0.115,0.116,0.116,0.116,0.115,0.115,0.115,0.116,0.118,0.12,0.124,0.127,0.131,0.134,0.137,0.142,0.147,0.152,0.156,0.159,0.167,0.188,0.229,0.286,0.339,0.369,0.366,0.337,0.297,0.261,0.237,0.223,0.217,0.216,0.227,0.256,0.304,0.361,0.409,0.436,0.438,0.416,0.376,0.328,0.283,0.253,0.241,0.238,0.23,0.209,0.178,0.149,0.135,0.142,0.165,0.19,0.204,0.205,0.203,0.212,0.234,0.26,0.273,0.265,0.239,0.208,0.183,0.167,0.157,0.15,0.143,0.136,0.127,0.114,0.095,0.072,0.05,0.036,0.03,0.032,0.038,0.045,0.051,0.057,0.067,0.083,0.102,0.117,0.124,0.12,0.112,0.105,0.102,0.1,0.095,0.087,0.077,0.071,0.071,0.079,0.086,0.088,0.082,0.074,0.074,0.09,0.119,0.153,0.179,0.193,0.198,0.197,0.199,0.203,0.21,0.215,0.217,0.216,0.216,0.216,0.215,0.211,0.203,0.197,0.195,0.197,0.2,0.199,0.191,0.18,0.166,0.15,0.133,0.115,0.096,0.079,0.066,0.059,0.057,0.06,0.064,0.068,0.069,0.065,0.057,0.045,0.034,0.027,0.025,0.03,0.045,0.068,0.094,0.112,0.117,0.111,0.102,0.097,0.093,0.087,0.077,0.063,0.053,0.051,0.058,0.071,0.085,0.094,0.097,0.097,0.101,0.11,0.124,0.135,0.138,0.134,0.125,0.118,0.113,0.109,0.105,0.1,0.095,0.09,0.086,0.083,0.081,0.078,0.076,0.073,0.071,0.068,0.067,0.064,0.06,0.057,0.058,0.064,0.071,0.073,0.069,0.059,0.048,0.037,0.029,0.021,0.015,0.011,0.011,0.014,0.019,0.023,0.024,0.026,0.04,0.08,0.144,0.211,0.245,0.231,0.185,0.151,0.159,0.203,0.246,0.251,0.217,0.178,0.172,0.208,0.254,0.27,0.242,0.198,0.179,0.208,0.264,0.298,0.285,0.236,0.199,0.211,0.266,0.314,0.315,0.267,0.215,0.204,0.244,0.296,0.313,0.279,0.224,0.199,0.226,0.281,0.311,0.289,0.231,0.19,0.202,0.259,0.311,0.314,0.268,0.216,0.209,0.261,0.344,0.418,0.458,0.471,0.473,0.477,0.486,0.496,0.504,0.508,0.503,0.477,0.421,0.335,0.235,0.147,0.098,0.107,0.17,0.266,0.358,0.417,0.439,0.444,0.451,0.468,0.492,0.513,0.531,0.547,0.565,0.582,0.587,0.57,0.533,0.493,0.466,0.458,0.463,0.473,0.484,0.495,0.504,0.507,0.508,0.509,0.515,0.523,0.531,0.538,0.541,0.541,0.532,0.515,0.497,0.49,0.498,0.518,0.54,0.559,0.572,0.576,0.572,0.561,0.548,0.54,0.542,0.552,0.568,0.584,0.59,0.575,0.539,0.497,0.469,0.471,0.496,0.529,0.559,0.579,0.595,0.608,0.619,0.62,0.601,0.565,0.524,0.496,0.49,0.498,0.511,0.525,0.54,0.557,0.572,0.583,0.591,0.601,0.613,0.627,0.635,0.634,0.621,0.594,0.558,0.528,0.514,0.52,0.54,0.563,0.582,0.598,0.609,0.61,0.6,0.578,0.554,0.542,0.549,0.571,0.599,0.619,0.618,0.589,0.544,0.502,0.484,0.491,0.514,0.537,0.554,0.565,0.573,0.582,0.588,0.584,0.566,0.538,0.513,0.503,0.505,0.511,0.517,0.527,0.543,0.561,0.573,0.577,0.577,0.578,0.584,0.594,0.604,0.61,0.607,0.592,0.567,0.548,0.546,0.564,0.593,0.62,0.639,0.649,0.653,0.653,0.649,0.644,0.642,0.646,0.653,0.659,0.659,0.652,0.64,0.626,0.613,0.598,0.582,0.561,0.534,0.503,0.467,0.429,0.392,0.36,0.332,0.307,0.285,0.264,0.246,0.231,0.216,0.201,0.183,0.164,0.147,0.131,0.119,0.109,0.101,0.093,0.086,0.079,0.071,0.063,0.056,0.052,0.052,0.052,0.052,0.051,0.049,0.045,0.04,0.035,0.031,0.03,0.032,0.036,0.04,0.043,0.045,0.045,0.045,0.044,0.043,0.042,0.04,0.039,0.037,0.035,0.032,0.028,0.023,0.019,0.015,0.011,0.007,0.004,0.003,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]