[0.058,0.075,0.11,0.147,0.171,0.176,0.165,0.145,0.124,0.106,0.094,0.089,0.09,0.094,0.097,0.096,0.093,0.087,0.082,0.077,0.073,0.07,0.067,0.062,0.057,0.053,0.049,0.046,0.043,0.042,0.045,0.052,0.06,0.063,0.057,0.044,0.03,0.019,0.012,0.009,0.007,0.008,0.009,0.012,0.017,0.022,0.028,0.036,0.048,0.068,0.093,0.118,0.138,0.149,0.152,0.15,0.148,0.148,0.153,0.161,0.163,0.152,0.129,0.104,0.086,0.076,0.072,0.069,0.071,0.078,0.091,0.101,0.101,0.091,0.079,0.073,0.074,0.079,0.083,0.085,0.086,0.089,0.091,0.092,0.09,0.087,0.086,0.088,0.092,0.099,0.103,0.102,0.094,0.08,0.064,0.049,0.038,0.03,0.025,0.022,0.02,0.019,0.02,0.024,0.037,0.063,0.098,0.134,0.157,0.163,0.157,0.146,0.139,0.135,0.135,0.136,0.136,0.138,0.14,0.142,0.141,0.135,0.125,0.113,0.1,0.089,0.081,0.076,0.076,0.081,0.087,0.092,0.093,0.092,0.093,0.097,0.104,0.112,0.117,0.119,0.118,0.115,0.112,0.108,0.102,0.094,0.082,0.069,0.056,0.046,0.038,0.035,0.035,0.04,0.05,0.059,0.065,0.067,0.073,0.087,0.108,0.128,0.137,0.133,0.118,0.1,0.085,0.079,0.084,0.097,0.112,0.12,0.121,0.117,0.111,0.106,0.105,0.108,0.12,0.14,0.165,0.186,0.197,0.195,0.187,0.178,0.173,0.17,0.169,0.169,0.171,0.176,0.18,0.181,0.176,0.17,0.168,0.173,0.185,0.196,0.199,0.193,0.177,0.16,0.149,0.148,0.153,0.156,0.154,0.15,0.151,0.162,0.178,0.189,0.185,0.169,0.148,0.134,0.131,0.135,0.136,0.129,0.113,0.095,0.077,0.063,0.055,0.055,0.06,0.067,0.068,0.062,0.05,0.043,0.047,0.065,0.092,0.12,0.143,0.16,0.175,0.192,0.209,0.221,0.22,0.206,0.183,0.161,0.145,0.141,0.145,0.153,0.161,0.163,0.159,0.15,0.139,0.13,0.125,0.122,0.117,0.11,0.1,0.09,0.08,0.072,0.065,0.059,0.053,0.047,0.041,0.037,0.033,0.029,0.026,0.024,0.023,0.024,0.025,0.024,0.02,0.014,0.008,0.005,0.003,0.002,0.003,0.003,0.006,0.01,0.016,0.022,0.028,0.031,0.031,0.03,0.028,0.026,0.024,0.025,0.03,0.04,0.053,0.064,0.073,0.086,0.116,0.162,0.218,0.263,0.281,0.274,0.258,0.26,0.292,0.342,0.385,0.398,0.381,0.347,0.317,0.3,0.294,0.29,0.281,0.272,0.274,0.294,0.323,0.343,0.336,0.304,0.262,0.231,0.223,0.235,0.253,0.265,0.26,0.237,0.199,0.153,0.11,0.076,0.052,0.039,0.031,0.028,0.028,0.035,0.046,0.061,0.076,0.094,0.122,0.164,0.216,0.262,0.287,0.286,0.267,0.251,0.259,0.296,0.343,0.37,0.364,0.332,0.291,0.255,0.23,0.22,0.226,0.249,0.276,0.296,0.302,0.29,0.265,0.234,0.209,0.197,0.197,0.199,0.191,0.171,0.146,0.128,0.122,0.128,0.142,0.161,0.176,0.179,0.166,0.14,0.112,0.09,0.082,0.09,0.112,0.138,0.158,0.163,0.155,0.145,0.143,0.153,0.17,0.189,0.212,0.247,0.291,0.334,0.355,0.344,0.307,0.262,0.221,0.189,0.165,0.148,0.135,0.129,0.128,0.128,0.128,0.128,0.129,0.135,0.142,0.148,0.149,0.143,0.13,0.113,0.097,0.087,0.085,0.088,0.091,0.089,0.085,0.079,0.076,0.082,0.098,0.126,0.161,0.194,0.215,0.219,0.208,0.192,0.182,0.181,0.186,0.189,0.19,0.199,0.226,0.269,0.313,0.336,0.326,0.289,0.243,0.199,0.164,0.138,0.118,0.106,0.102,0.105,0.108,0.102,0.084,0.058,0.035,0.019,0.011,0.008,0.008,0.009,0.014,0.022,0.033,0.047,0.063,0.084,0.117,0.163,0.219,0.272,0.311,0.328,0.324,0.305,0.279,0.25,0.222,0.194,0.172,0.163,0.173,0.197,0.224,0.246,0.263,0.286,0.319,0.347,0.35,0.32,0.274,0.237,0.223,0.226,0.233,0.236,0.235,0.234,0.232,0.224,0.213,0.206,0.214,0.236,0.256,0.257,0.234,0.192,0.147,0.114,0.102,0.109,0.125,0.139,0.141,0.133,0.119,0.106,0.1,0.106,0.124,0.147,0.167,0.175,0.172,0.162,0.152,0.145,0.143,0.145,0.15,0.155,0.16,0.175,0.205,0.253,0.301,0.329,0.326,0.296,0.255,0.217,0.185,0.156,0.13,0.109,0.096,0.091,0.092,0.097,0.113,0.146,0.196,0.248,0.284,0.295,0.28,0.25,0.221,0.205,0.203,0.206,0.206,0.198,0.193,0.197,0.21,0.226,0.238,0.246,0.252,0.259,0.263,0.261,0.25,0.229,0.209,0.198,0.203,0.217,0.231,0.24,0.254,0.287,0.337,0.382,0.395,0.367,0.312,0.252,0.201,0.162,0.133,0.113,0.102,0.098,0.098,0.096,0.089,0.082,0.081,0.09,0.106,0.127,0.149,0.17,0.192,0.214,0.235,0.25,0.256,0.25,0.237,0.224,0.214,0.207,0.2,0.189,0.176,0.169,0.174,0.19,0.207,0.214,0.202,0.177,0.152,0.139,0.144,0.162,0.192,0.235,0.289,0.343,0.371,0.363,0.326,0.282,0.248,0.229,0.218,0.208,0.2,0.194,0.191,0.191,0.19,0.186,0.182,0.182,0.187,0.195,0.201,0.203,0.2,0.192,0.176,0.155,0.128,0.102,0.081,0.068,0.062,0.063,0.068,0.08,0.103,0.143,0.199,0.26,0.311,0.34,0.343,0.333,0.322,0.322,0.329,0.335,0.331,0.325,0.328,0.35,0.38,0.4,0.396,0.372,0.346,0.33,0.322,0.312,0.292,0.264,0.236,0.219,0.214,0.211,0.201,0.179,0.154,0.136,0.133,0.145,0.161,0.169,0.166,0.154,0.142,0.136,0.137,0.143,0.151,0.16,0.168,0.174,0.177,0.176,0.174,0.174,0.175,0.176,0.175,0.171,0.167,0.165,0.167,0.171,0.177,0.188,0.212,0.255,0.308,0.349,0.355,0.322,0.267,0.211,0.167,0.136,0.113,0.098,0.092,0.091,0.092,0.088,0.074,0.053,0.033,0.019,0.011,0.007,0.006,0.006,0.007,0.011,0.02,0.031,0.042,0.051,0.055,0.055,0.051,0.047,0.044,0.043,0.045,0.052,0.065,0.084,0.112,0.152,0.198,0.241,0.27,0.278,0.269,0.249,0.234,0.24,0.278,0.339,0.396,0.421,0.406,0.367,0.325,0.295,0.276,0.26,0.244,0.231,0.232,0.247,0.267,0.275,0.264,0.243,0.232,0.246,0.284,0.32,0.328,0.296,0.237,0.173,0.123,0.094,0.079,0.07,0.063,0.059,0.061,0.077,0.107,0.147,0.186,0.218,0.238,0.245,0.242,0.231,0.219,0.213,0.215,0.219,0.22,0.226,0.247,0.291,0.345,0.386,0.392,0.362,0.314,0.265,0.227,0.198,0.173,0.15,0.13,0.116,0.105,0.092,0.074,0.051,0.032,0.02,0.016,0.023,0.043,0.079,0.128,0.182,0.229,0.259,0.273,0.274,0.269,0.261,0.249,0.236,0.229,0.238,0.264,0.296,0.314,0.307,0.276,0.238,0.211,0.203,0.21,0.222,0.232,0.239,0.253,0.284,0.331,0.376,0.39,0.361,0.299,0.23,0.177,0.148,0.14,0.146,0.157,0.17,0.181,0.188,0.187,0.178,0.168,0.161,0.159,0.155,0.145,0.127,0.108,0.095,0.097,0.113,0.134,0.151,0.156,0.152,0.143,0.134,0.129,0.131,0.141,0.158,0.179,0.196,0.203,0.201,0.193,0.184,0.178,0.173,0.169,0.169,0.183,0.222,0.282,0.346,0.383,0.381,0.344,0.298,0.259,0.233,0.212,0.192,0.172,0.152,0.134,0.116,0.094,0.069,0.045,0.026,0.015,0.009,0.007,0.007,0.009,0.016,0.028,0.045,0.063,0.079,0.087,0.089,0.085,0.077,0.071,0.071,0.086,0.123,0.18,0.242,0.288,0.304,0.297,0.279,0.258,0.235,0.208,0.183,0.173,0.194,0.251,0.33,0.397,0.423,0.402,0.351,0.296,0.256,0.233,0.224,0.221,0.219,0.216,0.213,0.21,0.207,0.201,0.195,0.192,0.195,0.203,0.21,0.21,0.199,0.181,0.162,0.146,0.136,0.132,0.138,0.154,0.182,0.215,0.242,0.261,0.273,0.283,0.291,0.293,0.288,0.279,0.27,0.269,0.275,0.283,0.287,0.286,0.29,0.311,0.353,0.397,0.421,0.411,0.371,0.319,0.27,0.231,0.203,0.184,0.174,0.172,0.175,0.177,0.173,0.166,0.163,0.169,0.176,0.174,0.158,0.134,0.114,0.11,0.126,0.154,0.178,0.188,0.187,0.185,0.191,0.203,0.218,0.231,0.245,0.26,0.276,0.285,0.279,0.254,0.214,0.173,0.148,0.15,0.174,0.208,0.246,0.287,0.336,0.384,0.41,0.397,0.351,0.293,0.243,0.211,0.191,0.179,0.171,0.169,0.176,0.192,0.207,0.213,0.204,0.187,0.172,0.167,0.17,0.177,0.182,0.186,0.188,0.19,0.192,0.193,0.192,0.186,0.176,0.165,0.155,0.147,0.14,0.138,0.142,0.155,0.171,0.182,0.18,0.167,0.147,0.131,0.122,0.122,0.128,0.147,0.187,0.25,0.319,0.364,0.367,0.329,0.275,0.224,0.184,0.154,0.132,0.116,0.108,0.103,0.095,0.081,0.06,0.038,0.021,0.011,0.007,0.005,0.007,0.012,0.024,0.044,0.071,0.098,0.118,0.126,0.124,0.116,0.106,0.096,0.09,0.095,0.117,0.157,0.204,0.243,0.258,0.249,0.23,0.221,0.233,0.265,0.302,0.335,0.368,0.405,0.441,0.455,0.433,0.378,0.312,0.257,0.222,0.201,0.187,0.176,0.172,0.177,0.19,0.202,0.201,0.18,0.15,0.127,0.123,0.137,0.158,0.176,0.188,0.199,0.211,0.223,0.229,0.224,0.21,0.192,0.176,0.164,0.161,0.167,0.177,0.184,0.181,0.166,0.149,0.139,0.146,0.166,0.187,0.197,0.192,0.179,0.175,0.196,0.246,0.307,0.348,0.348,0.31,0.257,0.216,0.195,0.191,0.193,0.195,0.197,0.201,0.202,0.196,0.176,0.144,0.108,0.074,0.048,0.031,0.024,0.025,0.033,0.045,0.058,0.07,0.08,0.091,0.113,0.157,0.223,0.297,0.36,0.391,0.389,0.361,0.322,0.282,0.248,0.222,0.203,0.185,0.167,0.155,0.16,0.186,0.234,0.297,0.365,0.417,0.431,0.402,0.342,0.274,0.218,0.178,0.151,0.135,0.126,0.124,0.123,0.119,0.112,0.104,0.1,0.102,0.108,0.114,0.117,0.117,0.117,0.122,0.137,0.16,0.183,0.196,0.196,0.186,0.172,0.158,0.147,0.138,0.133,0.13,0.129,0.125,0.117,0.107,0.096,0.086,0.079,0.079,0.087,0.102,0.127,0.171,0.235,0.311,0.366,0.38,0.346,0.288,0.227,0.179,0.144,0.119,0.104,0.097,0.095,0.094,0.086,0.069,0.047,0.028,0.015,0.008,0.007,0.009,0.016,0.03,0.051,0.076,0.102,0.123,0.135,0.138,0.135,0.127,0.117,0.109,0.11,0.13,0.174,0.235,0.291,0.327,0.337,0.332,0.328,0.332,0.34,0.345,0.346,0.357,0.393,0.454,0.514,0.539,0.514,0.453,0.383,0.328,0.297,0.286,0.289,0.301,0.317,0.333,0.342,0.34,0.328,0.309,0.28,0.243,0.208,0.188,0.19,0.208,0.226,0.232,0.225,0.211,0.196,0.183,0.174,0.164,0.154,0.146,0.144,0.155,0.178,0.207,0.226,0.227,0.211,0.192,0.182,0.185,0.196,0.211,0.233,0.273,0.332,0.395,0.433,0.428,0.386,0.329,0.277,0.234,0.198,0.166,0.14,0.122,0.112,0.104,0.098,0.094,0.098,0.111,0.135,0.168,0.209,0.253,0.294,0.327,0.35,0.363,0.366,0.362,0.356,0.35,0.344,0.335,0.321,0.305,0.294,0.29,0.29,0.285,0.269,0.244,0.219,0.203,0.198,0.201,0.206,0.212,0.229,0.266,0.322,0.378,0.406,0.393,0.345,0.286,0.233,0.194,0.168,0.152,0.145,0.145,0.148,0.149,0.148,0.147,0.15,0.157,0.165,0.17,0.17,0.166,0.158,0.152,0.153,0.163,0.18,0.196,0.207,0.21,0.209,0.205,0.199,0.19,0.182,0.181,0.19,0.202,0.208,0.202,0.187,0.17,0.155,0.142,0.133,0.136,0.161,0.217,0.295,0.369,0.407,0.395,0.343,0.278,0.22,0.179,0.152,0.134,0.123,0.116,0.109,0.097,0.078,0.055,0.034,0.019,0.011,0.007,0.008,0.012,0.02,0.035,0.056,0.079,0.101,0.116,0.122,0.121,0.116,0.112,0.114,0.125,0.151,0.191,0.24,0.28,0.297,0.289,0.271,0.261,0.263,0.273,0.286,0.307,0.346,0.4,0.455,0.486,0.477,0.429,0.361,0.299,0.262,0.249,0.247,0.243,0.231,0.219,0.214,0.214,0.21,0.198,0.184,0.178,0.184,0.197,0.205,0.202,0.19,0.174,0.165,0.166,0.171,0.171,0.163,0.149,0.135,0.126,0.125,0.136,0.155,0.173,0.177,0.161,0.132,0.105,0.095,0.107,0.136,0.165,0.184,0.193,0.212,0.255,0.319,0.372,0.386,0.353,0.295,0.241,0.208,0.193,0.187,0.185,0.184,0.19,0.204,0.223,0.24,0.244,0.235,0.214,0.187,0.161,0.145,0.145,0.16,0.182,0.2,0.206,0.2,0.184,0.163,0.143,0.129,0.119,0.113,0.106,0.1,0.098,0.097,0.094,0.088,0.083,0.091,0.117,0.16,0.207,0.249,0.282,0.319,0.371,0.43,0.467,0.458,0.402,0.327,0.26,0.214,0.186,0.167,0.154,0.146,0.142,0.141,0.137,0.132,0.127,0.125,0.126,0.129,0.129,0.126,0.123,0.123,0.13,0.146,0.17,0.192,0.206,0.212,0.218,0.227,0.24,0.252,0.26,0.267,0.273,0.273,0.258,0.225,0.183,0.146,0.128,0.126,0.13,0.127,0.125,0.148,0.21,0.301,0.378,0.404,0.372,0.311,0.251,0.209,0.182,0.162,0.147,0.137,0.131,0.122,0.106,0.081,0.053,0.031,0.017,0.01,0.009,0.011,0.016,0.027,0.041,0.058,0.072,0.082,0.085,0.084,0.084,0.089,0.107,0.14,0.19,0.25,0.312,0.363,0.39,0.388,0.37,0.349,0.341,0.345,0.352,0.351,0.348,0.362,0.4,0.45,0.484,0.482,0.449,0.408,0.381,0.375,0.38,0.381,0.374,0.368,0.372,0.388,0.403,0.399,0.374,0.339,0.311,0.304,0.321,0.358,0.405,0.439,0.441,0.401,0.328,0.245,0.174,0.124,0.097,0.088,0.097,0.127,0.178,0.241,0.3,0.338,0.347,0.332,0.306,0.281,0.26,0.237,0.21,0.192,0.204,0.26,0.347,0.427,0.461,0.435,0.367,0.291,0.233,0.205,0.2,0.208,0.218,0.226,0.237,0.255,0.276,0.292,0.296,0.29,0.278,0.266,0.256,0.245,0.23,0.211,0.192,0.18,0.179,0.189,0.203,0.216,0.224,0.227,0.229,0.232,0.24,0.257,0.279,0.299,0.308,0.304,0.289,0.271,0.256,0.244,0.237,0.236,0.251,0.29,0.349,0.407,0.43,0.404,0.339,0.266,0.207,0.169,0.145,0.132,0.127,0.13,0.139,0.144,0.142,0.134,0.126,0.124,0.127,0.134,0.139,0.141,0.139,0.138,0.141,0.15,0.163,0.175,0.181,0.181,0.179,0.177,0.174,0.168,0.163,0.162,0.168,0.178,0.188,0.191,0.187,0.173,0.149,0.117,0.09,0.084,0.114,0.185,0.277,0.356,0.39,0.37,0.313,0.249,0.197,0.161,0.138,0.124,0.117,0.115,0.114,0.106,0.087,0.062,0.038,0.021,0.011,0.008,0.008,0.012,0.022,0.038,0.061,0.084,0.102,0.11,0.111,0.106,0.099,0.092,0.086,0.084,0.088,0.096,0.103,0.105,0.106,0.122,0.164,0.229,0.296,0.338,0.35,0.345,0.352,0.387,0.438,0.475,0.474,0.434,0.378,0.33,0.304,0.3,0.311,0.333,0.36,0.382,0.388,0.377,0.36,0.353,0.365,0.39,0.415,0.424,0.41,0.372,0.315,0.25,0.192,0.149,0.124,0.116,0.123,0.143,0.169,0.192,0.204,0.204,0.201,0.201,0.205,0.207,0.202,0.19,0.175,0.162,0.155,0.156,0.164,0.188,0.233,0.294,0.341,0.348,0.307,0.244,0.189,0.159,0.149,0.146,0.144,0.143,0.148,0.156,0.159,0.156,0.149,0.142,0.137,0.128,0.112,0.091,0.07,0.057,0.059,0.074,0.096,0.116,0.132,0.149,0.179,0.228,0.29,0.346,0.381,0.391,0.382,0.361,0.33,0.291,0.247,0.209,0.182,0.167,0.164,0.169,0.187,0.227,0.289,0.359,0.404,0.403,0.356,0.289,0.229,0.19,0.167,0.154,0.149,0.153,0.163,0.174,0.177,0.169,0.156,0.147,0.145,0.149,0.152,0.15,0.143,0.137,0.137,0.146,0.161,0.174,0.181,0.181,0.181,0.183,0.185,0.183,0.179,0.177,0.181,0.192,0.204,0.209,0.206,0.192,0.167,0.134,0.104,0.091,0.112,0.175,0.268,0.358,0.409,0.402,0.346,0.273,0.208,0.162,0.133,0.117,0.111,0.114,0.12,0.117,0.102,0.076,0.048,0.027,0.016,0.01,0.01,0.013,0.022,0.039,0.065,0.094,0.118,0.132,0.134,0.127,0.118,0.109,0.104,0.11,0.134,0.178,0.236,0.289,0.325,0.343,0.355,0.369,0.39,0.409,0.419,0.42,0.427,0.453,0.495,0.527,0.524,0.48,0.416,0.36,0.33,0.323,0.327,0.332,0.333,0.331,0.327,0.322,0.315,0.305,0.289,0.263,0.234,0.216,0.22,0.245,0.274,0.289,0.283,0.263,0.24,0.222,0.211,0.203,0.196,0.189,0.188,0.196,0.216,0.241,0.26,0.263,0.248,0.226,0.209,0.203,0.207,0.222,0.253,0.306,0.376,0.437,0.46,0.434,0.372,0.306,0.254,0.218,0.19,0.165,0.145,0.132,0.128,0.127,0.129,0.132,0.145,0.17,0.21,0.26,0.309,0.347,0.369,0.376,0.374,0.367,0.358,0.35,0.346,0.346,0.346,0.339,0.325,0.308,0.297,0.297,0.301,0.298,0.282,0.257,0.233,0.215,0.203,0.195,0.193,0.208,0.249,0.313,0.377,0.41,0.395,0.339,0.273,0.218,0.184,0.168,0.163,0.165,0.171,0.175,0.172,0.161,0.147,0.136,0.133,0.136,0.142,0.148,0.15,0.15,0.149,0.152,0.158,0.165,0.169,0.172,0.177,0.186,0.194,0.195,0.188,0.18,0.181,0.193,0.208,0.218,0.217,0.21,0.201,0.19,0.179,0.174,0.19,0.237,0.31,0.383,0.422,0.408,0.347,0.27,0.202,0.155,0.126,0.11,0.106,0.113,0.124,0.128,0.118,0.093,0.063,0.037,0.021,0.014,0.011,0.013,0.021,0.037,0.061,0.088,0.11,0.121,0.122,0.116,0.111,0.112,0.125,0.151,0.192,0.245,0.303,0.351,0.377,0.38,0.371,0.366,0.371,0.378,0.374,0.364,0.363,0.387,0.43,0.468,0.478,0.457,0.427,0.407,0.404,0.409,0.408,0.399,0.389,0.391,0.407,0.422,0.421,0.399,0.365,0.338,0.33,0.348,0.386,0.429,0.451,0.432,0.373,0.292,0.213,0.154,0.118,0.098,0.091,0.099,0.126,0.173,0.233,0.288,0.322,0.33,0.318,0.298,0.276,0.251,0.22,0.19,0.179,0.207,0.274,0.357,0.413,0.416,0.368,0.298,0.239,0.207,0.201,0.209,0.219,0.228,0.237,0.247,0.254,0.254,0.245,0.233,0.225,0.224,0.228,0.229,0.223,0.212,0.199,0.191,0.192,0.2,0.213,0.225,0.233,0.236,0.235,0.233,0.236,0.249,0.268,0.284,0.286,0.27,0.243,0.215,0.194,0.18,0.175,0.183,0.214,0.281,0.375,0.463,0.506,0.484,0.413,0.324,0.247,0.193,0.159,0.141,0.137,0.14,0.146,0.147,0.14,0.129,0.12,0.116,0.118,0.121,0.122,0.12,0.116,0.114,0.115,0.117,0.119,0.116,0.112,0.111,0.114,0.118,0.118,0.11,0.098,0.088,0.087,0.094,0.106,0.116,0.119,0.112,0.096,0.077,0.062,0.06,0.07,0.087,0.101,0.105,0.1,0.089,0.074,0.057,0.039,0.023,0.012,0.005,0.002,0.001,0.001,0.001,0.001,0,0,0,0,0,0]