[0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.013,0.041,0.099,0.188,0.284,0.347,0.347,0.292,0.22,0.17,0.151,0.148,0.138,0.12,0.104,0.105,0.122,0.148,0.169,0.18,0.184,0.187,0.188,0.185,0.178,0.173,0.165,0.147,0.115,0.073,0.037,0.014,0.004,0.001,0.001,0,0,0,0,0,0.001,0.001,0.001,0.001,0.001,0.004,0.012,0.032,0.071,0.132,0.206,0.275,0.315,0.32,0.298,0.268,0.241,0.216,0.19,0.164,0.141,0.133,0.147,0.177,0.211,0.232,0.238,0.236,0.237,0.238,0.234,0.225,0.216,0.214,0.216,0.217,0.211,0.2,0.191,0.184,0.178,0.176,0.184,0.201,0.218,0.216,0.186,0.136,0.084,0.044,0.02,0.012,0.019,0.048,0.103,0.18,0.258,0.306,0.309,0.276,0.233,0.202,0.188,0.182,0.173,0.162,0.15,0.139,0.13,0.125,0.127,0.137,0.153,0.165,0.163,0.14,0.103,0.061,0.029,0.01,0.003,0.001,0,0,0,0,0.001,0.001,0.002,0.006,0.02,0.055,0.118,0.204,0.292,0.355,0.377,0.362,0.326,0.289,0.259,0.24,0.231,0.23,0.233,0.231,0.219,0.196,0.166,0.135,0.108,0.091,0.086,0.092,0.107,0.133,0.172,0.219,0.253,0.254,0.22,0.174,0.139,0.124,0.126,0.139,0.159,0.177,0.183,0.171,0.147,0.12,0.095,0.071,0.048,0.027,0.013,0.006,0.009,0.022,0.049,0.09,0.138,0.186,0.227,0.251,0.252,0.228,0.191,0.161,0.156,0.178,0.216,0.25,0.265,0.253,0.226,0.205,0.208,0.233,0.264,0.281,0.277,0.261,0.246,0.248,0.274,0.322,0.369,0.387,0.363,0.308,0.246,0.195,0.163,0.149,0.154,0.177,0.216,0.262,0.3,0.315,0.302,0.271,0.235,0.21,0.201,0.206,0.219,0.232,0.241,0.241,0.232,0.211,0.178,0.139,0.098,0.063,0.036,0.018,0.008,0.003,0.001,0.001,0.001,0.001,0.001,0.002,0.001,0.001,0.001,0.001,0,0.001,0.005,0.022,0.065,0.137,0.225,0.293,0.315,0.289,0.245,0.217,0.219,0.239,0.259,0.263,0.241,0.193,0.13,0.071,0.03,0.009,0.002,0.002,0.006,0.019,0.051,0.116,0.223,0.365,0.502,0.586,0.58,0.492,0.37,0.265,0.202,0.178,0.177,0.187,0.2,0.212,0.219,0.223,0.228,0.237,0.25,0.257,0.25,0.225,0.192,0.17,0.175,0.209,0.263,0.323,0.369,0.382,0.349,0.279,0.198,0.136,0.102,0.091,0.09,0.091,0.093,0.098,0.106,0.111,0.11,0.102,0.09,0.077,0.062,0.046,0.028,0.014,0.005,0.002,0.001,0.001,0.002,0.003,0.006,0.016,0.04,0.087,0.155,0.232,0.298,0.346,0.389,0.449,0.524,0.58,0.575,0.498,0.379,0.27,0.207,0.192,0.198,0.197,0.179,0.15,0.127,0.117,0.117,0.122,0.132,0.15,0.174,0.194,0.205,0.212,0.22,0.231,0.234,0.221,0.199,0.181,0.182,0.208,0.247,0.277,0.272,0.227,0.157,0.089,0.044,0.031,0.057,0.122,0.217,0.31,0.366,0.369,0.342,0.318,0.309,0.298,0.269,0.225,0.185,0.16,0.147,0.137,0.128,0.125,0.13,0.137,0.138,0.129,0.115,0.107,0.109,0.114,0.116,0.116,0.123,0.149,0.192,0.228,0.233,0.195,0.132,0.07,0.028,0.008,0.002,0.001,0,0,0,0,0.001,0.001,0.001,0.004,0.019,0.06,0.138,0.246,0.35,0.409,0.407,0.367,0.336,0.346,0.387,0.415,0.402,0.356,0.315,0.305,0.324,0.348,0.36,0.352,0.327,0.291,0.258,0.238,0.232,0.232,0.23,0.225,0.218,0.208,0.194,0.178,0.168,0.163,0.159,0.149,0.136,0.128,0.134,0.161,0.199,0.229,0.229,0.193,0.133,0.075,0.037,0.025,0.045,0.104,0.198,0.301,0.374,0.396,0.379,0.349,0.324,0.298,0.266,0.24,0.233,0.241,0.245,0.227,0.194,0.163,0.151,0.157,0.173,0.185,0.186,0.171,0.148,0.127,0.115,0.113,0.12,0.132,0.144,0.147,0.137,0.116,0.09,0.065,0.044,0.027,0.014,0.006,0.002,0.001,0.001,0.001,0.001,0.001,0.003,0.009,0.028,0.067,0.137,0.24,0.364,0.478,0.545,0.539,0.466,0.36,0.26,0.192,0.159,0.153,0.163,0.181,0.201,0.212,0.209,0.193,0.177,0.172,0.183,0.206,0.226,0.231,0.222,0.209,0.209,0.232,0.272,0.317,0.345,0.341,0.302,0.244,0.197,0.18,0.191,0.213,0.227,0.225,0.21,0.188,0.165,0.145,0.132,0.128,0.133,0.144,0.153,0.15,0.127,0.09,0.052,0.024,0.008,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.009,0.031,0.08,0.16,0.259,0.344,0.383,0.36,0.297,0.235,0.21,0.226,0.252,0.251,0.21,0.144,0.079,0.035,0.012,0.005,0.003,0.003,0.005,0.015,0.042,0.092,0.165,0.246,0.317,0.365,0.391,0.399,0.397,0.389,0.37,0.338,0.294,0.252,0.226,0.219,0.222,0.227,0.235,0.253,0.293,0.352,0.414,0.448,0.432,0.369,0.291,0.236,0.219,0.231,0.251,0.261,0.257,0.241,0.215,0.185,0.162,0.157,0.172,0.197,0.214,0.217,0.216,0.227,0.25,0.273,0.279,0.264,0.238,0.217,0.206,0.199,0.189,0.171,0.154,0.142,0.14,0.142,0.143,0.141,0.138,0.138,0.14,0.136,0.116,0.084,0.05,0.029,0.03,0.064,0.132,0.222,0.301,0.339,0.327,0.285,0.243,0.216,0.201,0.19,0.175,0.156,0.14,0.137,0.148,0.162,0.166,0.154,0.135,0.12,0.11,0.098,0.08,0.056,0.032,0.015,0.005,0.002,0.001,0.002,0.005,0.018,0.048,0.106,0.191,0.291,0.377,0.431,0.442,0.415,0.361,0.29,0.212,0.142,0.09,0.065,0.07,0.099,0.14,0.175,0.191,0.181,0.157,0.134,0.129,0.139,0.152,0.151,0.134,0.108,0.082,0.059,0.039,0.023,0.012,0.005,0.002,0.001,0,0,0,0,0,0,0.002,0.01,0.037,0.097,0.192,0.303,0.385,0.405,0.356,0.269,0.181,0.118,0.078,0.053,0.034,0.02,0.01,0.004,0.005,0.017,0.054,0.126,0.227,0.326,0.383,0.379,0.334,0.292,0.286,0.31,0.328,0.311,0.259,0.198,0.153,0.131,0.131,0.147,0.175,0.209,0.235,0.242,0.226,0.189,0.14,0.09,0.05,0.023,0.014,0.024,0.066,0.143,0.245,0.339,0.388,0.375,0.315,0.25,0.215,0.23,0.28,0.331,0.349,0.325,0.278,0.232,0.198,0.169,0.139,0.117,0.118,0.147,0.191,0.224,0.232,0.218,0.204,0.206,0.228,0.258,0.281,0.287,0.275,0.25,0.216,0.183,0.165,0.166,0.187,0.221,0.258,0.286,0.295,0.276,0.232,0.179,0.141,0.133,0.153,0.183,0.206,0.214,0.212,0.209,0.212,0.225,0.246,0.263,0.262,0.237,0.196,0.153,0.116,0.084,0.057,0.034,0.017,0.008,0.003,0.002,0.001,0.001,0.001,0.001,0.002,0.002,0.002,0.001,0.001,0.002,0.006,0.019,0.052,0.113,0.21,0.338,0.479,0.593,0.645,0.614,0.521,0.411,0.332,0.299,0.294,0.289,0.273,0.255,0.244,0.237,0.223,0.205,0.194,0.193,0.194,0.188,0.177,0.175,0.188,0.211,0.231,0.239,0.236,0.224,0.206,0.185,0.171,0.172,0.192,0.226,0.264,0.296,0.309,0.296,0.26,0.213,0.169,0.139,0.122,0.114,0.118,0.137,0.17,0.21,0.245,0.265,0.267,0.247,0.204,0.146,0.087,0.042,0.016,0.005,0.002,0.002,0.002,0.002,0.002,0.005,0.017,0.046,0.096,0.163,0.233,0.295,0.343,0.367,0.358,0.313,0.245,0.181,0.146,0.147,0.173,0.206,0.23,0.24,0.239,0.235,0.227,0.216,0.203,0.19,0.181,0.173,0.162,0.147,0.129,0.112,0.101,0.101,0.114,0.135,0.16,0.18,0.189,0.179,0.151,0.11,0.068,0.035,0.016,0.008,0.007,0.018,0.05,0.107,0.182,0.25,0.288,0.291,0.273,0.246,0.217,0.185,0.159,0.151,0.164,0.188,0.207,0.206,0.188,0.167,0.161,0.17,0.183,0.188,0.188,0.194,0.217,0.254,0.285,0.291,0.27,0.231,0.189,0.15,0.116,0.084,0.056,0.033,0.017,0.007,0.003,0.001,0,0,0,0,0,0,0,0,0,0.001,0.001,0.001,0.005,0.018,0.049,0.107,0.192,0.286,0.363,0.399,0.394,0.366,0.336,0.309,0.282,0.25,0.223,0.216,0.237,0.269,0.288,0.281,0.262,0.259,0.282,0.316,0.339,0.34,0.327,0.312,0.297,0.28,0.258,0.236,0.223,0.219,0.216,0.207,0.193,0.185,0.188,0.191,0.18,0.149,0.106,0.065,0.034,0.016,0.008,0.008,0.022,0.059,0.123,0.198,0.257,0.277,0.263,0.243,0.255,0.316,0.41,0.492,0.52,0.484,0.413,0.339,0.276,0.224,0.179,0.154,0.16,0.198,0.248,0.282,0.28,0.245,0.197,0.153,0.119,0.097,0.088,0.097,0.127,0.173,0.227,0.278,0.313,0.315,0.274,0.202,0.123,0.061,0.023,0.007,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.003,0.007,0.019,0.048,0.106,0.204,0.341,0.492,0.614,0.662,0.621,0.515,0.39,0.29,0.236,0.224,0.232,0.241,0.239,0.232,0.225,0.225,0.233,0.247,0.259,0.257,0.234,0.196,0.156,0.127,0.115,0.117,0.129,0.143,0.155,0.16,0.158,0.153,0.152,0.155,0.159,0.152,0.127,0.089,0.051,0.022,0.007,0.002,0,0,0,0,0,0.001,0.005,0.016,0.045,0.096,0.169,0.248,0.314,0.35,0.352,0.328,0.298,0.278,0.274,0.273,0.256,0.211,0.149,0.087,0.043,0.019,0.017,0.039,0.095,0.193,0.321,0.444,0.518,0.514,0.442,0.339,0.251,0.201,0.189,0.207,0.25,0.31,0.366,0.39,0.37,0.319,0.266,0.236,0.23,0.241,0.259,0.279,0.289,0.281,0.251,0.215,0.193,0.193,0.206,0.218,0.22,0.214,0.203,0.193,0.192,0.209,0.245,0.293,0.334,0.351,0.334,0.29,0.238,0.196,0.174,0.169,0.179,0.195,0.211,0.217,0.207,0.181,0.146,0.108,0.074,0.046,0.025,0.012,0.005,0.002,0.001,0.001,0.001,0.001,0.001,0.002,0.007,0.023,0.061,0.127,0.214,0.302,0.362,0.374,0.335,0.259,0.174,0.111,0.092,0.116,0.165,0.209,0.234,0.242,0.246,0.247,0.243,0.226,0.2,0.167,0.129,0.089,0.052,0.026,0.01,0.004,0.001,0.002,0.009,0.031,0.077,0.148,0.228,0.294,0.333,0.343,0.329,0.293,0.241,0.185,0.14,0.109,0.087,0.067,0.046,0.028,0.015,0.007,0.002,0.001,0,0.001,0.005,0.021,0.061,0.129,0.213,0.281,0.307,0.292,0.266,0.258,0.272,0.288,0.291,0.278,0.257,0.23,0.193,0.147,0.099,0.057,0.029,0.014,0.014,0.031,0.074,0.14,0.215,0.274,0.299,0.294,0.281,0.279,0.291,0.299,0.29,0.264,0.231,0.197,0.161,0.124,0.087,0.054,0.029,0.013,0.005,0.005,0.018,0.054,0.125,0.227,0.337,0.417,0.44,0.404,0.331,0.252,0.193,0.161,0.153,0.161,0.18,0.21,0.242,0.262,0.259,0.231,0.186,0.134,0.086,0.048,0.023,0.01,0.004,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.011,0.04,0.107,0.219,0.354,0.465,0.508,0.469,0.379,0.284,0.22,0.198,0.211,0.245,0.279,0.301,0.3,0.277,0.235,0.179,0.12,0.068,0.035,0.029,0.056,0.124,0.225,0.337,0.424,0.456,0.431,0.376,0.328,0.308,0.307,0.302,0.285,0.276,0.302,0.362,0.425,0.455,0.44,0.4,0.356,0.327,0.315,0.317,0.319,0.307,0.271,0.218,0.169,0.142,0.144,0.166,0.194,0.216,0.224,0.219,0.217,0.227,0.247,0.255,0.238,0.201,0.168,0.153,0.154,0.157,0.148,0.131,0.117,0.117,0.134,0.158,0.177,0.186,0.185,0.175,0.159,0.15,0.161,0.204,0.269,0.336,0.374,0.369,0.325,0.265,0.212,0.177,0.158,0.146,0.135,0.125,0.118,0.116,0.116,0.11,0.092,0.064,0.037,0.017,0.007,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.002,0.002,0.003,0.003,0.003,0.005,0.013,0.034,0.079,0.161,0.279,0.413,0.526,0.577,0.553,0.468,0.363,0.284,0.26,0.293,0.354,0.398,0.394,0.339,0.265,0.207,0.18,0.176,0.184,0.198,0.219,0.241,0.26,0.271,0.279,0.291,0.313,0.339,0.352,0.333,0.284,0.226,0.183,0.163,0.159,0.152,0.132,0.1,0.063,0.033,0.014,0.005,0.002,0.001,0.001,0.001,0.001,0.002,0.009,0.032,0.082,0.159,0.241,0.293,0.292,0.249,0.201,0.177,0.179,0.188,0.185,0.174,0.168,0.18,0.203,0.223,0.233,0.231,0.22,0.201,0.174,0.147,0.134,0.138,0.148,0.15,0.142,0.131,0.125,0.12,0.107,0.081,0.051,0.025,0.01,0.003,0.001,0.001,0.001,0.001,0.003,0.016,0.052,0.122,0.215,0.296,0.33,0.306,0.252,0.206,0.19,0.204,0.242,0.295,0.349,0.38,0.366,0.31,0.241,0.191,0.176,0.186,0.196,0.192,0.176,0.168,0.192,0.257,0.342,0.409,0.424,0.387,0.32,0.248,0.184,0.136,0.11,0.108,0.123,0.14,0.15,0.15,0.145,0.132,0.11,0.08,0.048,0.024,0.01,0.004,0.002,0.002,0.003,0.009,0.031,0.084,0.175,0.288,0.387,0.434,0.418,0.361,0.299,0.257,0.234,0.215,0.19,0.163,0.15,0.162,0.194,0.228,0.249,0.26,0.272,0.288,0.301,0.292,0.259,0.207,0.153,0.108,0.081,0.077,0.091,0.108,0.112,0.095,0.065,0.035,0.015,0.005,0.001,0.001,0.001,0.001,0.002,0.002,0.003,0.009,0.03,0.075,0.147,0.236,0.319,0.378,0.408,0.419,0.417,0.402,0.371,0.329,0.285,0.25,0.235,0.251,0.293,0.334,0.345,0.326,0.308,0.323,0.363,0.387,0.362,0.291,0.211,0.158,0.138,0.135,0.131,0.123,0.121,0.129,0.143,0.149,0.141,0.123,0.104,0.091,0.082,0.07,0.053,0.035,0.02,0.01,0.004,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.011,0.036,0.091,0.174,0.264,0.323,0.326,0.279,0.209,0.146,0.102,0.074,0.053,0.035,0.02,0.009,0.004,0.002,0.003,0.009,0.029,0.075,0.151,0.246,0.334,0.387,0.399,0.384,0.355,0.32,0.275,0.23,0.199,0.194,0.207,0.222,0.23,0.231,0.232,0.231,0.222,0.201,0.171,0.142,0.13,0.142,0.179,0.229,0.278,0.312,0.318,0.294,0.25,0.21,0.187,0.179,0.17,0.151,0.132,0.135,0.172,0.234,0.295,0.332,0.336,0.313,0.28,0.251,0.231,0.218,0.215,0.224,0.245,0.263,0.263,0.239,0.207,0.187,0.186,0.189,0.179,0.149,0.105,0.063,0.031,0.013,0.005,0.002,0.002,0.002,0.005,0.013,0.036,0.084,0.162,0.263,0.362,0.429,0.452,0.445,0.432,0.426,0.422,0.407,0.385,0.365,0.353,0.341,0.321,0.305,0.312,0.347,0.39,0.41,0.386,0.329,0.262,0.204,0.166,0.148,0.149,0.168,0.206,0.252,0.295,0.32,0.319,0.296,0.264,0.234,0.211,0.192,0.181,0.183,0.204,0.23,0.239,0.219,0.177,0.133,0.107,0.097,0.095,0.087,0.072,0.053,0.034,0.02,0.01,0.005,0.003,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.002,0.005,0.021,0.064,0.147,0.259,0.365,0.425,0.425,0.394,0.375,0.388,0.412,0.415,0.377,0.311,0.244,0.203,0.202,0.244,0.313,0.383,0.426,0.43,0.402,0.359,0.315,0.278,0.251,0.242,0.255,0.282,0.309,0.323,0.316,0.289,0.246,0.199,0.161,0.139,0.134,0.137,0.144,0.151,0.155,0.153,0.144,0.135,0.136,0.143,0.145,0.129,0.096,0.059,0.028,0.011,0.003,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.011,0.035,0.081,0.143,0.203,0.239,0.244,0.229,0.208,0.186,0.157,0.118,0.076,0.042,0.024,0.033,0.079,0.163,0.267,0.356,0.396,0.385,0.347,0.316,0.299,0.29,0.279,0.277,0.296,0.335,0.37,0.374,0.332,0.264,0.205,0.185,0.203,0.238,0.26,0.255,0.237,0.229,0.242,0.257,0.248,0.202,0.135,0.072,0.031,0.012,0.012,0.032,0.085,0.172,0.282,0.383,0.445,0.455,0.423,0.372,0.331,0.318,0.327,0.336,0.33,0.313,0.301,0.3,0.299,0.286,0.267,0.26,0.271,0.288,0.292,0.271,0.233,0.192,0.165,0.159,0.173,0.202,0.236,0.259,0.263,0.25,0.229,0.206,0.186,0.174,0.176,0.197,0.226,0.242,0.234,0.206,0.173,0.145,0.119,0.09,0.059,0.032,0.014,0.005,0.002,0.001,0.001,0.001,0.001,0.003,0.008,0.022,0.05,0.099,0.179,0.29,0.416,0.519,0.561,0.529,0.446,0.358,0.301,0.285,0.302,0.333,0.357,0.357,0.329,0.287,0.259,0.258,0.278,0.292,0.28,0.248,0.211,0.189,0.185,0.192,0.202,0.215,0.231,0.244,0.241,0.216,0.176,0.141,0.127,0.135,0.153,0.165,0.166,0.161,0.156,0.154,0.146,0.125,0.091,0.054,0.025,0.009,0.003,0.001,0.002,0.002,0.004,0.014,0.043,0.103,0.196,0.305,0.401,0.46,0.474,0.446,0.385,0.301,0.21,0.126,0.07,0.053,0.087,0.168,0.282,0.398,0.482,0.511,0.491,0.447,0.412,0.393,0.375,0.337,0.279,0.216,0.167,0.139,0.132,0.14,0.159,0.18,0.197,0.206,0.207,0.197,0.176,0.143,0.105,0.073,0.058,0.071,0.108,0.161,0.215,0.265,0.314,0.362,0.396,0.396,0.352,0.271,0.183,0.127,0.125,0.177,0.257,0.326,0.36,0.352,0.316,0.269,0.224,0.182,0.145,0.112,0.088,0.08,0.089,0.108,0.131,0.156,0.182,0.199,0.195,0.162,0.11,0.059,0.024,0.007,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.003,0.013,0.044,0.106,0.197,0.29,0.347,0.348,0.302,0.241,0.2,0.195,0.216,0.235,0.227,0.183,0.12,0.063,0.025,0.011,0.019,0.058,0.132,0.23,0.322,0.375,0.381,0.359,0.343,0.36,0.412,0.478,0.516,0.497,0.421,0.321,0.233,0.176,0.153,0.159,0.182,0.215,0.243,0.259,0.26,0.248,0.225,0.192,0.159,0.14,0.153,0.205,0.279,0.344,0.369,0.343,0.284,0.225,0.194,0.194,0.206,0.212,0.208,0.207,0.223,0.252,0.273,0.267,0.233,0.189,0.155,0.138,0.132,0.139,0.164,0.211,0.264,0.295,0.288,0.249,0.2,0.161,0.14,0.138,0.145,0.148,0.138,0.12,0.111,0.127,0.172,0.23,0.279,0.296,0.272,0.214,0.147,0.095,0.072,0.071,0.08,0.093,0.113,0.139,0.163,0.168,0.146,0.103,0.059,0.027,0.011,0.006,0.004,0.004,0.003,0.003,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.003,0.004,0.004,0.005,0.005,0.004,0.003,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001]