[0.019,0.021,0.023,0.026,0.027,0.027,0.027,0.026,0.027,0.029,0.03,0.03,0.03,0.03,0.03,0.031,0.033,0.034,0.034,0.034,0.035,0.037,0.039,0.04,0.039,0.036,0.03,0.025,0.023,0.027,0.035,0.045,0.053,0.055,0.052,0.046,0.039,0.035,0.037,0.046,0.059,0.074,0.087,0.1,0.113,0.132,0.156,0.183,0.208,0.225,0.233,0.233,0.228,0.222,0.221,0.23,0.248,0.268,0.283,0.289,0.287,0.284,0.284,0.289,0.296,0.305,0.315,0.322,0.322,0.316,0.309,0.305,0.307,0.31,0.307,0.296,0.279,0.264,0.256,0.256,0.264,0.277,0.293,0.305,0.306,0.295,0.278,0.267,0.266,0.271,0.276,0.277,0.272,0.261,0.243,0.217,0.185,0.155,0.128,0.107,0.091,0.08,0.075,0.076,0.081,0.093,0.111,0.133,0.156,0.18,0.202,0.223,0.24,0.252,0.26,0.265,0.272,0.279,0.284,0.284,0.281,0.282,0.295,0.32,0.343,0.351,0.34,0.318,0.3,0.29,0.29,0.294,0.304,0.318,0.329,0.335,0.339,0.356,0.398,0.463,0.534,0.582,0.586,0.539,0.456,0.36,0.276,0.219,0.187,0.169,0.155,0.139,0.123,0.108,0.097,0.09,0.088,0.086,0.085,0.083,0.088,0.106,0.143,0.196,0.256,0.305,0.332,0.331,0.308,0.278,0.251,0.235,0.23,0.24,0.27,0.321,0.385,0.444,0.482,0.497,0.498,0.493,0.48,0.452,0.408,0.355,0.308,0.282,0.278,0.289,0.299,0.298,0.287,0.274,0.271,0.285,0.313,0.346,0.365,0.356,0.319,0.267,0.218,0.183,0.161,0.146,0.13,0.117,0.115,0.13,0.166,0.22,0.287,0.353,0.402,0.417,0.399,0.358,0.315,0.279,0.253,0.234,0.225,0.224,0.229,0.235,0.242,0.249,0.257,0.266,0.272,0.269,0.255,0.233,0.212,0.201,0.202,0.212,0.223,0.227,0.222,0.206,0.187,0.169,0.159,0.156,0.154,0.149,0.143,0.136,0.13,0.12,0.107,0.092,0.077,0.065,0.06,0.065,0.084,0.113,0.147,0.177,0.201,0.218,0.225,0.218,0.198,0.17,0.15,0.15,0.172,0.2,0.215,0.209,0.192,0.182,0.189,0.208,0.223,0.227,0.224,0.228,0.247,0.275,0.301,0.313,0.306,0.283,0.255,0.23,0.216,0.215,0.225,0.239,0.25,0.257,0.265,0.28,0.299,0.314,0.319,0.317,0.323,0.344,0.381,0.425,0.465,0.492,0.5,0.486,0.456,0.421,0.387,0.36,0.338,0.317,0.293,0.264,0.234,0.211,0.2,0.196,0.191,0.18,0.165,0.155,0.156,0.172,0.203,0.243,0.285,0.319,0.337,0.34,0.335,0.329,0.322,0.309,0.287,0.261,0.238,0.224,0.218,0.218,0.222,0.228,0.232,0.229,0.217,0.198,0.178,0.159,0.145,0.136,0.131,0.129,0.126,0.121,0.114,0.107,0.105,0.11,0.118,0.126,0.131,0.132,0.13,0.128,0.128,0.128,0.131,0.137,0.149,0.162,0.172,0.172,0.161,0.146,0.135,0.136,0.15,0.17,0.184,0.184,0.171,0.152,0.137,0.132,0.135,0.142,0.148,0.152,0.153,0.156,0.165,0.179,0.195,0.206,0.206,0.194,0.172,0.146,0.125,0.112,0.108,0.108,0.105,0.096,0.083,0.069,0.056,0.044,0.034,0.027,0.022,0.02,0.02,0.02,0.02,0.019,0.017,0.016,0.015,0.015,0.016,0.016,0.017,0.016,0.015,0.015,0.015,0.016,0.017,0.018,0.023,0.031,0.042,0.054,0.064,0.075,0.092,0.117,0.145,0.17,0.186,0.197,0.212,0.233,0.258,0.279,0.291,0.291,0.283,0.272,0.262,0.254,0.246,0.237,0.227,0.217,0.208,0.197,0.181,0.16,0.137,0.115,0.096,0.084,0.079,0.079,0.083,0.092,0.107,0.131,0.162,0.198,0.229,0.246,0.245,0.228,0.206,0.192,0.194,0.208,0.226,0.239,0.244,0.243,0.24,0.244,0.258,0.285,0.313,0.332,0.335,0.326,0.315,0.309,0.308,0.306,0.299,0.289,0.282,0.283,0.293,0.305,0.315,0.319,0.325,0.338,0.361,0.391,0.417,0.433,0.437,0.435,0.437,0.448,0.465,0.477,0.469,0.437,0.387,0.334,0.288,0.259,0.249,0.258,0.278,0.292,0.291,0.273,0.253,0.25,0.27,0.307,0.345,0.366,0.364,0.342,0.309,0.274,0.245,0.228,0.222,0.223,0.222,0.212,0.194,0.178,0.174,0.187,0.211,0.235,0.25,0.252,0.253,0.266,0.303,0.361,0.421,0.465,0.48,0.469,0.443,0.412,0.385,0.368,0.361,0.365,0.37,0.373,0.371,0.372,0.382,0.399,0.414,0.41,0.378,0.324,0.268,0.227,0.202,0.188,0.175,0.162,0.148,0.134,0.122,0.115,0.116,0.126,0.143,0.161,0.177,0.188,0.193,0.191,0.188,0.189,0.2,0.222,0.247,0.266,0.273,0.268,0.258,0.25,0.249,0.254,0.262,0.272,0.28,0.287,0.291,0.294,0.299,0.311,0.328,0.341,0.343,0.332,0.316,0.306,0.308,0.323,0.344,0.361,0.366,0.359,0.351,0.354,0.374,0.407,0.44,0.461,0.466,0.457,0.438,0.41,0.372,0.33,0.292,0.266,0.253,0.248,0.25,0.259,0.276,0.296,0.311,0.314,0.305,0.294,0.289,0.292,0.297,0.297,0.296,0.298,0.304,0.309,0.309,0.302,0.294,0.29,0.297,0.318,0.347,0.374,0.383,0.364,0.325,0.282,0.248,0.227,0.214,0.207,0.206,0.213,0.227,0.244,0.256,0.258,0.253,0.244,0.24,0.245,0.262,0.29,0.323,0.352,0.37,0.372,0.359,0.336,0.303,0.262,0.216,0.174,0.147,0.137,0.145,0.164,0.189,0.211,0.223,0.219,0.204,0.182,0.159,0.136,0.115,0.097,0.084,0.076,0.07,0.064,0.056,0.049,0.044,0.043,0.044,0.044,0.042,0.04,0.038,0.035,0.033,0.03,0.026,0.023,0.021,0.021,0.023,0.025,0.027,0.027,0.025,0.021,0.017,0.014,0.011,0.01,0.01,0.01,0.011,0.011,0.011,0.012,0.015,0.019,0.026,0.034,0.046,0.059,0.075,0.092,0.112,0.138,0.169,0.201,0.229,0.25,0.272,0.304,0.357,0.425,0.494,0.549,0.591,0.636,0.697,0.768,0.829,0.857,0.845,0.799,0.74,0.69,0.665,0.662,0.665,0.651,0.609,0.542,0.462,0.384,0.314,0.254,0.207,0.181,0.179,0.194,0.208,0.208,0.195,0.181,0.177,0.186,0.201,0.215,0.226,0.235,0.245,0.256,0.267,0.275,0.284,0.293,0.298,0.292,0.272,0.243,0.213,0.192,0.179,0.173,0.17,0.175,0.19,0.213,0.238,0.258,0.268,0.266,0.258,0.248,0.24,0.232,0.221,0.209,0.197,0.188,0.18,0.171,0.158,0.144,0.128,0.115,0.106,0.102,0.103,0.111,0.127,0.15,0.176,0.2,0.222,0.248,0.285,0.331,0.375,0.403,0.406,0.387,0.352,0.313,0.281,0.263,0.257,0.255,0.245,0.222,0.189,0.154,0.124,0.104,0.093,0.091,0.092,0.092,0.09,0.085,0.082,0.083,0.09,0.103,0.121,0.145,0.176,0.212,0.254,0.294,0.326,0.34,0.335,0.316,0.292,0.273,0.263,0.261,0.264,0.271,0.278,0.284,0.287,0.288,0.285,0.277,0.26,0.236,0.213,0.2,0.201,0.214,0.233,0.253,0.27,0.284,0.296,0.305,0.312,0.315,0.314,0.303,0.284,0.259,0.235,0.214,0.197,0.18,0.165,0.16,0.171,0.196,0.223,0.239,0.239,0.233,0.232,0.242,0.259,0.278,0.299,0.322,0.345,0.355,0.341,0.302,0.251,0.202,0.163,0.133,0.11,0.096,0.093,0.099,0.111,0.123,0.133,0.147,0.167,0.191,0.212,0.222,0.225,0.227,0.237,0.257,0.279,0.293,0.292,0.277,0.257,0.242,0.241,0.253,0.274,0.297,0.314,0.319,0.31,0.29,0.268,0.25,0.241,0.238,0.238,0.238,0.24,0.244,0.253,0.265,0.275,0.279,0.275,0.266,0.256,0.248,0.242,0.239,0.237,0.237,0.235,0.23,0.22,0.208,0.2,0.201,0.213,0.229,0.245,0.254,0.254,0.244,0.228,0.209,0.189,0.172,0.159,0.153,0.15,0.149,0.146,0.141,0.133,0.124,0.113,0.101,0.09,0.08,0.073,0.066,0.06,0.053,0.047,0.042,0.037,0.033,0.029,0.026,0.023,0.021,0.021,0.02,0.019,0.017,0.015,0.013,0.012,0.012,0.012,0.015,0.02,0.028,0.04,0.056,0.077,0.102,0.133,0.168,0.206,0.245,0.282,0.312,0.336,0.354,0.371,0.386,0.395,0.387,0.363,0.325,0.287,0.255,0.234,0.221,0.211,0.204,0.197,0.188,0.177,0.163,0.153,0.151,0.161,0.185,0.22,0.259,0.293,0.315,0.322,0.312,0.29,0.262,0.233,0.212,0.205,0.211,0.221,0.223,0.208,0.18,0.148,0.122,0.11,0.112,0.126,0.15,0.182,0.217,0.249,0.272,0.28,0.276,0.266,0.26,0.263,0.275,0.29,0.303,0.309,0.306,0.294,0.277,0.262,0.251,0.241,0.228,0.208,0.181,0.156,0.137,0.126,0.125,0.133,0.147,0.164,0.181,0.196,0.207,0.216,0.221,0.224,0.222,0.218,0.214,0.212,0.211,0.209,0.205,0.198,0.189,0.177,0.166,0.159,0.162,0.171,0.178,0.174,0.159,0.139,0.121,0.108,0.098,0.089,0.08,0.071,0.067,0.072,0.089,0.113,0.139,0.158,0.163,0.151,0.131,0.114,0.106,0.109,0.118,0.13,0.141,0.148,0.148,0.142,0.13,0.116,0.101,0.087,0.076,0.071,0.071,0.076,0.083,0.089,0.089,0.086,0.083,0.082,0.083,0.085,0.085,0.084,0.084,0.084,0.083,0.084,0.09,0.104,0.125,0.146,0.158,0.155,0.136,0.107,0.079,0.057,0.043,0.036,0.033,0.031,0.03,0.032,0.039,0.056,0.082,0.113,0.141,0.163,0.181,0.198,0.213,0.222,0.222,0.215,0.209,0.209,0.211,0.21,0.203,0.193,0.186,0.187,0.198,0.218,0.243,0.271,0.299,0.325,0.342,0.345,0.335,0.32,0.31,0.308,0.309,0.305,0.292,0.274,0.252,0.231,0.212,0.198,0.185,0.169,0.149,0.132,0.124,0.133,0.157,0.188,0.215,0.231,0.238,0.243,0.248,0.254,0.261,0.272,0.291,0.317,0.344,0.364,0.372,0.368,0.358,0.349,0.349,0.353,0.356,0.35,0.332,0.307,0.283,0.27,0.271,0.279,0.286,0.285,0.276,0.264,0.252,0.242,0.233,0.222,0.21,0.2,0.192,0.189,0.187,0.185,0.184,0.187,0.198,0.219,0.248,0.28,0.306,0.318,0.313,0.29,0.257,0.221,0.193,0.183,0.189,0.206,0.226,0.241,0.252,0.255,0.252,0.243,0.228,0.209,0.191,0.178,0.173,0.176,0.184,0.191,0.195,0.2,0.209,0.222,0.235,0.244,0.245,0.235,0.215,0.188,0.16,0.138,0.124,0.119,0.117,0.114,0.111,0.112,0.121,0.135,0.151,0.164,0.169,0.166,0.153,0.138,0.131,0.136,0.151,0.168,0.178,0.182,0.177,0.167,0.152,0.137,0.125,0.117,0.114,0.114,0.115,0.116,0.115,0.113,0.109,0.106,0.108,0.116,0.132,0.149,0.159,0.158,0.147,0.133,0.128,0.14,0.169,0.202,0.228,0.238,0.236,0.233,0.238,0.254,0.278,0.299,0.31,0.307,0.292,0.273,0.256,0.247,0.249,0.258,0.271,0.282,0.291,0.297,0.299,0.293,0.279,0.259,0.242,0.239,0.255,0.288,0.325,0.353,0.361,0.351,0.33,0.31,0.294,0.277,0.257,0.238,0.227,0.23,0.239,0.24,0.225,0.195,0.162,0.139,0.132,0.138,0.153,0.171,0.187,0.198,0.202,0.201,0.197,0.19,0.18,0.167,0.152,0.136,0.119,0.103,0.094,0.094,0.102,0.114,0.129,0.145,0.162,0.179,0.196,0.216,0.242,0.271,0.29,0.289,0.267,0.234,0.207,0.196,0.198,0.205,0.207,0.2,0.183,0.165,0.151,0.142,0.137,0.133,0.131,0.13,0.13,0.131,0.13,0.128,0.131,0.142,0.161,0.183,0.203,0.217,0.223,0.223,0.23,0.254,0.294,0.332,0.347,0.333,0.304,0.284,0.291,0.321,0.354,0.363,0.342,0.297,0.247,0.205,0.175,0.155,0.143,0.135,0.125,0.108,0.086,0.065,0.049,0.041,0.039,0.04,0.044,0.052,0.061,0.067,0.067,0.061,0.052,0.044,0.038,0.036,0.037,0.037,0.035,0.034,0.036,0.042,0.048,0.051,0.05,0.046,0.042,0.045,0.055,0.073,0.093,0.109,0.118,0.123,0.127,0.137,0.158,0.192,0.242,0.297,0.343,0.365,0.363,0.348,0.337,0.334,0.333,0.32,0.299,0.291,0.328,0.419,0.532,0.617,0.633,0.584,0.497,0.412,0.348,0.315,0.31,0.327,0.357,0.391,0.417,0.427,0.427,0.429,0.446,0.472,0.494,0.498,0.487,0.47,0.455,0.442,0.422,0.393,0.356,0.319,0.291,0.277,0.274,0.278,0.288,0.302,0.315,0.319,0.311,0.294,0.274,0.253,0.233,0.216,0.206,0.199,0.192,0.183,0.179,0.191,0.217,0.245,0.258,0.249,0.223,0.19,0.162,0.14,0.124,0.112,0.104,0.097,0.088,0.075,0.061,0.049,0.043,0.043,0.052,0.066,0.082,0.098,0.112,0.128,0.15,0.177,0.206,0.231,0.248,0.257,0.26,0.259,0.255,0.25,0.249,0.257,0.277,0.298,0.309,0.3,0.275,0.251,0.246,0.266,0.301,0.332,0.347,0.342,0.325,0.303,0.281,0.262,0.246,0.233,0.222,0.219,0.231,0.262,0.309,0.355,0.385,0.396,0.399,0.41,0.433,0.452,0.447,0.412,0.357,0.302,0.262,0.238,0.222,0.204,0.179,0.152,0.13,0.119,0.116,0.113,0.105,0.091,0.076,0.065,0.061,0.067,0.081,0.101,0.124,0.148,0.176,0.207,0.24,0.267,0.282,0.281,0.265,0.241,0.217,0.201,0.2,0.21,0.223,0.226,0.217,0.195,0.166,0.139,0.117,0.101,0.09,0.081,0.075,0.073,0.079,0.094,0.115,0.134,0.145,0.143,0.133,0.121,0.115,0.118,0.128,0.143,0.157,0.161,0.155,0.141,0.126,0.116,0.115,0.123,0.136,0.148,0.156,0.163,0.173,0.192,0.216,0.24,0.255,0.26,0.256,0.251,0.248,0.248,0.247,0.245,0.242,0.243,0.253,0.273,0.301,0.334,0.37,0.407,0.438,0.454,0.447,0.415,0.366,0.315,0.283,0.281,0.309,0.347,0.375,0.386,0.386,0.387,0.391,0.389,0.37,0.331,0.283,0.239,0.208,0.193,0.193,0.204,0.218,0.227,0.225,0.216,0.207,0.202,0.207,0.23,0.276,0.337,0.398,0.445,0.471,0.482,0.485,0.481,0.466,0.44,0.408,0.376,0.353,0.336,0.32,0.301,0.277,0.252,0.23,0.216,0.206,0.199,0.191,0.182,0.176,0.175,0.183,0.197,0.214,0.228,0.237,0.246,0.258,0.277,0.299,0.323,0.343,0.36,0.375,0.392,0.407,0.415,0.409,0.393,0.374,0.355,0.333,0.303,0.266,0.234,0.218,0.223,0.247,0.279,0.308,0.328,0.333,0.324,0.306,0.284,0.265,0.251,0.242,0.235,0.228,0.219,0.212,0.208,0.207,0.207,0.208,0.208,0.206,0.202,0.198,0.197,0.202,0.212,0.225,0.242,0.264,0.294,0.326,0.353,0.364,0.358,0.342,0.331,0.335,0.355,0.38,0.395,0.388,0.361,0.324,0.294,0.276,0.27,0.264,0.251,0.23,0.207,0.192,0.188,0.191,0.197,0.201,0.201,0.201,0.204,0.209,0.219,0.232,0.253,0.28,0.311,0.339,0.356,0.355,0.335,0.301,0.266,0.239,0.229,0.236,0.254,0.278,0.299,0.316,0.333,0.353,0.376,0.39,0.386,0.357,0.307,0.247,0.192,0.152,0.13,0.12,0.113,0.104,0.094,0.086,0.083,0.085,0.089,0.094,0.097,0.098,0.095,0.088,0.075,0.059,0.043,0.03,0.021,0.014,0.01,0.009,0.01,0.012,0.013,0.015,0.016,0.017,0.018,0.02,0.021,0.021,0.02,0.017,0.015,0.014,0.013,0.013,0.011,0.009,0.007,0.005,0.004,0.004,0.006,0.007,0.008,0.008,0.009,0.012,0.017,0.026,0.039,0.057,0.082,0.116,0.155,0.196,0.23,0.249,0.254,0.249,0.244,0.247,0.257,0.268,0.277,0.283,0.287,0.292,0.295,0.294,0.29,0.285,0.279,0.274,0.264,0.248,0.225,0.196,0.167,0.146,0.14,0.158,0.201,0.258,0.306,0.323,0.312,0.291,0.282,0.289,0.304,0.32,0.34,0.363,0.387,0.406,0.416,0.419,0.416,0.407,0.386,0.355,0.319,0.286,0.258,0.235,0.218,0.207,0.204,0.207,0.213,0.22,0.226,0.227,0.222,0.215,0.209,0.213,0.226,0.243,0.256,0.259,0.248,0.23,0.21,0.191,0.178,0.172,0.176,0.191,0.215,0.241,0.268,0.295,0.325,0.344,0.344,0.318,0.278,0.24,0.22,0.216,0.219,0.219,0.217,0.221,0.234,0.255,0.279,0.301,0.321,0.335,0.341,0.331,0.304,0.269,0.24,0.229,0.235,0.246,0.247,0.234,0.219,0.209,0.21,0.213,0.21,0.198,0.179,0.161,0.153,0.156,0.168,0.184,0.197,0.206,0.212,0.222,0.235,0.251,0.263,0.265,0.254,0.237,0.221,0.211,0.208,0.208,0.205,0.2,0.193,0.187,0.182,0.176,0.168,0.156,0.143,0.131,0.125,0.126,0.135,0.148,0.158,0.162,0.158,0.152,0.148,0.146,0.148,0.15,0.15,0.146,0.138,0.129,0.12,0.112,0.106,0.101,0.099,0.103,0.111,0.122,0.13,0.136,0.141,0.146,0.154,0.166,0.183,0.205,0.225,0.235,0.23,0.211,0.188,0.173,0.173,0.188,0.212,0.239,0.264,0.289,0.314,0.337,0.35,0.349,0.329,0.294,0.254,0.221,0.206,0.207,0.212,0.211,0.199,0.178,0.156,0.138,0.125,0.116,0.11,0.104,0.1,0.098,0.096,0.097,0.101,0.108,0.118,0.13,0.141,0.153,0.167,0.183,0.201,0.216,0.226,0.231,0.232,0.23,0.226,0.221,0.219,0.224,0.235,0.249,0.257,0.253,0.239,0.22,0.203,0.188,0.173,0.157,0.141,0.129,0.121,0.117,0.114,0.113,0.117,0.131,0.153,0.176,0.192,0.197,0.194,0.19,0.19,0.197,0.21,0.228,0.249,0.269,0.286,0.296,0.298,0.293,0.284,0.277,0.277,0.286,0.299,0.311,0.317,0.316,0.312,0.305,0.295,0.282,0.266,0.251,0.239,0.235,0.236,0.238,0.235,0.225,0.209,0.191,0.174,0.162,0.156,0.154,0.154,0.155,0.158,0.162,0.17,0.178,0.181,0.176,0.163,0.147,0.134,0.127,0.124,0.123,0.122,0.121,0.123,0.125,0.128,0.131,0.133,0.14,0.156,0.181,0.21,0.233,0.245,0.25,0.255,0.266,0.281,0.292,0.293,0.282,0.262,0.237,0.213,0.199,0.196,0.203,0.212,0.217,0.218,0.215,0.209,0.197,0.182,0.17,0.164,0.169,0.18,0.192,0.201,0.204,0.207,0.214,0.227,0.244,0.258,0.261,0.251,0.233,0.214,0.2,0.194,0.192,0.19,0.188,0.187,0.19,0.196,0.203,0.209,0.212,0.21,0.204,0.196,0.19,0.188,0.187,0.184,0.18,0.175,0.175,0.184,0.2,0.216,0.223,0.218,0.203,0.185,0.172,0.167,0.166,0.166,0.166,0.166,0.166,0.163,0.158,0.15,0.141,0.135,0.136,0.146,0.164,0.185,0.205,0.217,0.22,0.214,0.205,0.201,0.205,0.216,0.226,0.232,0.232,0.229,0.224,0.22,0.217,0.216,0.22,0.228,0.24,0.252,0.263,0.268,0.266,0.259,0.247,0.233,0.219,0.202,0.185,0.17,0.159,0.152,0.149,0.148,0.15,0.158,0.174,0.196,0.22,0.236,0.24,0.226,0.203,0.182,0.175,0.19,0.223,0.265,0.305,0.333,0.348,0.345,0.328,0.295,0.253,0.208,0.169,0.138,0.117,0.105,0.106,0.117,0.136,0.153,0.161,0.154,0.134,0.106,0.079,0.062,0.055,0.055,0.055,0.051,0.044,0.037,0.031,0.027,0.025,0.023,0.02,0.019,0.017,0.015,0.013,0.013,0.015,0.021,0.034,0.054,0.084,0.118,0.151,0.18,0.21,0.25,0.303,0.356,0.391,0.405,0.406]