[0.002,0.002,0.002,0.002,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0.001,0.004,0.019,0.057,0.126,0.215,0.288,0.31,0.276,0.214,0.159,0.129,0.116,0.108,0.102,0.106,0.126,0.152,0.171,0.178,0.179,0.183,0.189,0.189,0.182,0.172,0.168,0.162,0.144,0.109,0.067,0.032,0.011,0.003,0.001,0.001,0.001,0.001,0.001,0.002,0.004,0.012,0.032,0.072,0.131,0.193,0.234,0.242,0.228,0.214,0.215,0.225,0.23,0.227,0.226,0.242,0.276,0.304,0.299,0.249,0.172,0.096,0.045,0.026,0.038,0.077,0.14,0.213,0.277,0.318,0.334,0.333,0.329,0.32,0.298,0.263,0.223,0.19,0.168,0.154,0.149,0.153,0.162,0.166,0.159,0.15,0.149,0.16,0.175,0.183,0.185,0.192,0.214,0.243,0.264,0.268,0.259,0.244,0.219,0.177,0.122,0.067,0.029,0.009,0.002,0.001,0.003,0.013,0.042,0.096,0.167,0.233,0.268,0.266,0.239,0.207,0.181,0.163,0.153,0.153,0.165,0.184,0.195,0.184,0.148,0.107,0.086,0.105,0.159,0.225,0.267,0.268,0.228,0.174,0.128,0.106,0.107,0.125,0.149,0.171,0.181,0.168,0.133,0.087,0.045,0.018,0.005,0.001,0.001,0.004,0.018,0.054,0.117,0.2,0.278,0.327,0.339,0.325,0.303,0.287,0.283,0.298,0.329,0.361,0.362,0.319,0.248,0.183,0.144,0.127,0.114,0.099,0.086,0.087,0.107,0.136,0.158,0.162,0.146,0.119,0.094,0.08,0.081,0.101,0.138,0.187,0.231,0.245,0.218,0.158,0.093,0.043,0.019,0.018,0.04,0.084,0.14,0.194,0.229,0.241,0.237,0.227,0.221,0.223,0.234,0.246,0.249,0.235,0.203,0.157,0.107,0.063,0.032,0.014,0.005,0.004,0.014,0.044,0.104,0.186,0.263,0.304,0.292,0.239,0.181,0.152,0.172,0.234,0.31,0.364,0.374,0.344,0.303,0.28,0.281,0.289,0.282,0.249,0.2,0.15,0.113,0.091,0.087,0.098,0.12,0.142,0.146,0.127,0.089,0.049,0.02,0.007,0.005,0.017,0.046,0.095,0.158,0.217,0.265,0.298,0.317,0.316,0.289,0.245,0.207,0.195,0.206,0.221,0.233,0.241,0.249,0.248,0.233,0.214,0.215,0.24,0.27,0.275,0.244,0.189,0.136,0.109,0.111,0.133,0.158,0.177,0.189,0.196,0.191,0.17,0.133,0.094,0.07,0.073,0.101,0.141,0.179,0.205,0.222,0.234,0.246,0.252,0.237,0.193,0.132,0.072,0.031,0.01,0.003,0.001,0.001,0.002,0.009,0.03,0.069,0.124,0.184,0.231,0.255,0.263,0.27,0.291,0.323,0.35,0.357,0.351,0.352,0.364,0.365,0.334,0.273,0.208,0.17,0.168,0.185,0.196,0.186,0.159,0.129,0.109,0.101,0.1,0.102,0.104,0.109,0.117,0.12,0.111,0.088,0.057,0.029,0.012,0.004,0.003,0.008,0.027,0.07,0.14,0.227,0.305,0.355,0.371,0.363,0.34,0.302,0.251,0.198,0.164,0.161,0.178,0.191,0.184,0.16,0.138,0.129,0.133,0.138,0.136,0.129,0.128,0.139,0.157,0.169,0.164,0.138,0.101,0.064,0.038,0.034,0.062,0.125,0.214,0.298,0.351,0.359,0.336,0.299,0.264,0.234,0.215,0.213,0.229,0.249,0.249,0.214,0.152,0.085,0.037,0.013,0.006,0.009,0.022,0.05,0.093,0.144,0.186,0.203,0.188,0.153,0.116,0.101,0.116,0.158,0.208,0.245,0.26,0.265,0.28,0.316,0.356,0.368,0.327,0.242,0.145,0.069,0.025,0.007,0.004,0.012,0.039,0.09,0.162,0.234,0.283,0.303,0.301,0.29,0.271,0.241,0.197,0.151,0.12,0.117,0.138,0.165,0.177,0.165,0.136,0.11,0.106,0.129,0.175,0.233,0.288,0.323,0.317,0.263,0.179,0.096,0.039,0.011,0.002,0.001,0.001,0.005,0.025,0.079,0.177,0.3,0.397,0.424,0.375,0.292,0.222,0.187,0.174,0.172,0.178,0.198,0.224,0.236,0.225,0.203,0.204,0.246,0.32,0.383,0.399,0.356,0.283,0.213,0.171,0.151,0.14,0.129,0.123,0.125,0.133,0.137,0.133,0.125,0.123,0.13,0.142,0.15,0.151,0.148,0.139,0.122,0.095,0.063,0.034,0.014,0.004,0.001,0,0,0,0,0,0.002,0.011,0.038,0.091,0.169,0.256,0.328,0.363,0.364,0.354,0.364,0.402,0.452,0.482,0.474,0.425,0.356,0.283,0.222,0.176,0.146,0.133,0.135,0.144,0.144,0.127,0.094,0.058,0.029,0.014,0.015,0.036,0.081,0.15,0.226,0.291,0.331,0.341,0.331,0.32,0.326,0.354,0.379,0.373,0.325,0.258,0.201,0.171,0.163,0.165,0.171,0.179,0.185,0.181,0.163,0.134,0.104,0.075,0.05,0.029,0.014,0.005,0.002,0.002,0.006,0.028,0.084,0.183,0.302,0.395,0.428,0.404,0.356,0.313,0.276,0.239,0.203,0.184,0.19,0.212,0.227,0.222,0.197,0.164,0.14,0.131,0.134,0.139,0.137,0.126,0.114,0.112,0.129,0.169,0.224,0.282,0.32,0.32,0.273,0.195,0.114,0.054,0.025,0.026,0.056,0.115,0.192,0.265,0.311,0.314,0.286,0.253,0.249,0.287,0.349,0.394,0.387,0.325,0.232,0.141,0.072,0.031,0.011,0.003,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.006,0.024,0.067,0.135,0.213,0.276,0.316,0.339,0.361,0.374,0.364,0.324,0.275,0.243,0.242,0.26,0.268,0.243,0.186,0.118,0.061,0.025,0.012,0.019,0.05,0.107,0.184,0.265,0.33,0.365,0.37,0.349,0.313,0.27,0.23,0.202,0.194,0.202,0.21,0.204,0.181,0.149,0.121,0.102,0.096,0.102,0.121,0.145,0.165,0.174,0.168,0.148,0.117,0.082,0.053,0.047,0.078,0.145,0.225,0.28,0.282,0.236,0.172,0.122,0.102,0.104,0.117,0.131,0.148,0.172,0.202,0.222,0.215,0.176,0.119,0.065,0.028,0.01,0.003,0.001,0.002,0.006,0.017,0.041,0.085,0.149,0.226,0.302,0.365,0.409,0.432,0.428,0.393,0.325,0.238,0.16,0.115,0.114,0.146,0.185,0.209,0.213,0.213,0.226,0.249,0.26,0.243,0.199,0.152,0.122,0.121,0.145,0.182,0.22,0.244,0.246,0.231,0.218,0.216,0.218,0.203,0.161,0.105,0.058,0.041,0.061,0.113,0.181,0.239,0.268,0.259,0.224,0.185,0.162,0.165,0.18,0.183,0.16,0.113,0.064,0.028,0.009,0.003,0.004,0.012,0.034,0.077,0.139,0.205,0.259,0.292,0.305,0.302,0.288,0.263,0.23,0.196,0.175,0.183,0.22,0.271,0.307,0.299,0.244,0.163,0.089,0.045,0.041,0.073,0.134,0.204,0.256,0.269,0.245,0.205,0.168,0.144,0.136,0.145,0.167,0.189,0.2,0.194,0.176,0.146,0.108,0.067,0.034,0.013,0.004,0.001,0.001,0.001,0.002,0.002,0.006,0.022,0.059,0.122,0.198,0.263,0.301,0.319,0.335,0.356,0.374,0.379,0.364,0.33,0.279,0.22,0.176,0.165,0.19,0.23,0.254,0.245,0.207,0.165,0.14,0.139,0.152,0.162,0.158,0.142,0.127,0.124,0.132,0.141,0.144,0.132,0.105,0.07,0.038,0.017,0.006,0.006,0.018,0.05,0.107,0.18,0.246,0.282,0.286,0.275,0.263,0.254,0.246,0.245,0.261,0.292,0.314,0.305,0.267,0.222,0.19,0.174,0.165,0.166,0.185,0.224,0.267,0.29,0.282,0.251,0.217,0.193,0.185,0.188,0.196,0.208,0.217,0.218,0.204,0.181,0.163,0.161,0.184,0.23,0.282,0.313,0.298,0.236,0.152,0.078,0.031,0.009,0.002,0.001,0.001,0.005,0.018,0.053,0.117,0.206,0.293,0.348,0.354,0.322,0.28,0.252,0.236,0.221,0.2,0.178,0.172,0.187,0.215,0.231,0.215,0.166,0.105,0.052,0.02,0.006,0.008,0.029,0.085,0.179,0.289,0.372,0.391,0.347,0.273,0.214,0.202,0.25,0.348,0.456,0.522,0.513,0.445,0.362,0.297,0.25,0.21,0.172,0.144,0.132,0.13,0.129,0.126,0.124,0.127,0.134,0.139,0.136,0.128,0.128,0.144,0.169,0.184,0.171,0.131,0.08,0.039,0.015,0.005,0.003,0.005,0.015,0.047,0.107,0.19,0.272,0.33,0.35,0.345,0.333,0.334,0.346,0.356,0.34,0.289,0.21,0.13,0.072,0.049,0.058,0.089,0.128,0.159,0.171,0.168,0.164,0.177,0.21,0.244,0.249,0.215,0.154,0.09,0.042,0.017,0.007,0.013,0.039,0.092,0.168,0.247,0.307,0.336,0.335,0.312,0.272,0.231,0.213,0.231,0.276,0.316,0.328,0.317,0.306,0.305,0.308,0.301,0.283,0.266,0.259,0.267,0.283,0.297,0.299,0.288,0.267,0.252,0.255,0.275,0.289,0.273,0.218,0.141,0.072,0.028,0.008,0.002,0.001,0.001,0.005,0.018,0.051,0.104,0.166,0.216,0.242,0.251,0.253,0.251,0.235,0.201,0.164,0.141,0.142,0.157,0.171,0.171,0.163,0.16,0.179,0.224,0.274,0.303,0.303,0.284,0.262,0.232,0.187,0.127,0.07,0.029,0.011,0.011,0.034,0.09,0.182,0.292,0.382,0.419,0.396,0.339,0.279,0.236,0.209,0.192,0.184,0.187,0.2,0.214,0.221,0.218,0.205,0.177,0.135,0.087,0.045,0.018,0.007,0.01,0.031,0.073,0.128,0.179,0.209,0.217,0.217,0.222,0.226,0.222,0.211,0.202,0.201,0.203,0.202,0.197,0.193,0.194,0.205,0.223,0.241,0.253,0.262,0.267,0.262,0.233,0.177,0.112,0.058,0.029,0.029,0.056,0.108,0.18,0.265,0.348,0.411,0.43,0.397,0.324,0.249,0.202,0.192,0.2,0.209,0.213,0.217,0.22,0.216,0.197,0.167,0.14,0.126,0.123,0.12,0.105,0.078,0.048,0.024,0.01,0.008,0.019,0.051,0.107,0.178,0.239,0.265,0.252,0.218,0.192,0.196,0.23,0.281,0.323,0.335,0.307,0.249,0.188,0.145,0.126,0.123,0.128,0.145,0.18,0.227,0.269,0.292,0.287,0.257,0.213,0.175,0.159,0.165,0.178,0.177,0.159,0.132,0.11,0.1,0.106,0.128,0.159,0.186,0.195,0.176,0.132,0.08,0.038,0.013,0.003,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0.001,0.004,0.016,0.049,0.109,0.191,0.271,0.314,0.301,0.237,0.153,0.08,0.035,0.02,0.032,0.071,0.13,0.194,0.245,0.272,0.278,0.273,0.262,0.246,0.235,0.24,0.265,0.295,0.308,0.287,0.244,0.211,0.217,0.262,0.323,0.37,0.391,0.387,0.36,0.311,0.252,0.201,0.179,0.186,0.207,0.22,0.215,0.194,0.169,0.148,0.131,0.115,0.098,0.087,0.085,0.094,0.107,0.114,0.108,0.088,0.061,0.036,0.017,0.007,0.002,0.001,0,0.001,0.002,0.009,0.028,0.063,0.112,0.163,0.202,0.227,0.245,0.263,0.282,0.294,0.292,0.272,0.247,0.229,0.231,0.242,0.244,0.225,0.199,0.182,0.182,0.189,0.187,0.173,0.154,0.142,0.144,0.158,0.173,0.172,0.151,0.119,0.096,0.099,0.132,0.18,0.211,0.204,0.158,0.096,0.044,0.016,0.004,0.002,0.003,0.009,0.027,0.062,0.109,0.153,0.181,0.192,0.196,0.207,0.23,0.261,0.294,0.321,0.35,0.389,0.432,0.449,0.414,0.334,0.252,0.206,0.202,0.218,0.227,0.221,0.206,0.194,0.201,0.225,0.252,0.258,0.236,0.194,0.151,0.122,0.11,0.118,0.146,0.181,0.202,0.191,0.148,0.092,0.044,0.017,0.009,0.022,0.06,0.128,0.216,0.296,0.34,0.343,0.315,0.275,0.234,0.199,0.173,0.16,0.155,0.149,0.136,0.117,0.097,0.083,0.08,0.091,0.107,0.116,0.105,0.079,0.047,0.022,0.008,0.006,0.022,0.069,0.153,0.262,0.354,0.387,0.352,0.286,0.234,0.224,0.245,0.273,0.284,0.278,0.263,0.251,0.245,0.238,0.225,0.21,0.205,0.21,0.216,0.206,0.18,0.149,0.129,0.124,0.123,0.113,0.089,0.058,0.03,0.012,0.004,0.002,0.001,0.001,0.001,0.001,0.002,0.006,0.025,0.076,0.166,0.275,0.362,0.396,0.385,0.368,0.371,0.381,0.37,0.327,0.273,0.242,0.247,0.276,0.301,0.301,0.271,0.227,0.191,0.176,0.183,0.204,0.233,0.262,0.279,0.275,0.248,0.213,0.182,0.159,0.14,0.124,0.115,0.12,0.138,0.159,0.173,0.176,0.172,0.164,0.147,0.118,0.081,0.045,0.019,0.006,0.005,0.021,0.066,0.143,0.235,0.303,0.316,0.28,0.229,0.196,0.184,0.18,0.174,0.171,0.176,0.184,0.186,0.177,0.157,0.131,0.111,0.107,0.122,0.146,0.163,0.166,0.165,0.172,0.187,0.2,0.203,0.202,0.207,0.218,0.225,0.221,0.206,0.194,0.199,0.216,0.23,0.227,0.21,0.192,0.185,0.188,0.188,0.181,0.166,0.147,0.127,0.109,0.1,0.104,0.114,0.115,0.1,0.07,0.038,0.016,0.005,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.002,0.002,0.002,0.002,0.003,0.007,0.025,0.069,0.147,0.244,0.328,0.368,0.356,0.311,0.261,0.22,0.19,0.166,0.152,0.156,0.186,0.234,0.275,0.28,0.236,0.164,0.094,0.052,0.047,0.078,0.136,0.208,0.278,0.341,0.4,0.46,0.508,0.524,0.495,0.434,0.364,0.3,0.249,0.209,0.184,0.174,0.176,0.177,0.169,0.152,0.13,0.106,0.084,0.073,0.078,0.099,0.121,0.127,0.11,0.077,0.043,0.019,0.006,0.002,0.005,0.017,0.048,0.106,0.185,0.264,0.319,0.335,0.315,0.275,0.237,0.219,0.225,0.24,0.244,0.23,0.205,0.186,0.177,0.178,0.177,0.17,0.152,0.127,0.107,0.103,0.126,0.173,0.227,0.262,0.255,0.205,0.135,0.072,0.036,0.038,0.087,0.184,0.314,0.432,0.49,0.473,0.407,0.336,0.285,0.254,0.236,0.227,0.224,0.224,0.221,0.212,0.199,0.185,0.173,0.161,0.142,0.111,0.074,0.04,0.017,0.006,0.003,0.006,0.02,0.051,0.105,0.18,0.261,0.333,0.375,0.386,0.377,0.367,0.364,0.369,0.376,0.386,0.389,0.372,0.329,0.269,0.212,0.174,0.16,0.169,0.195,0.23,0.261,0.275,0.264,0.233,0.2,0.184,0.19,0.21,0.231,0.251,0.272,0.288,0.288,0.269,0.239,0.211,0.186,0.164,0.143,0.126,0.12,0.125,0.137,0.145,0.137,0.109,0.072,0.038,0.015,0.005,0.001,0,0.001,0.008,0.027,0.068,0.126,0.187,0.231,0.252,0.261,0.276,0.304,0.341,0.367,0.363,0.326,0.271,0.219,0.187,0.178,0.193,0.227,0.264,0.284,0.277,0.253,0.237,0.239,0.248,0.248,0.232,0.212,0.198,0.197,0.204,0.215,0.232,0.251,0.26,0.246,0.213,0.183,0.176,0.194,0.218,0.226,0.209,0.176,0.143,0.121,0.111,0.104,0.091,0.068,0.042,0.021,0.008,0.002,0.001,0,0,0.001,0.007,0.026,0.07,0.137,0.212,0.266,0.283,0.27,0.251,0.238,0.228,0.211,0.195,0.194,0.216,0.25,0.282,0.3,0.299,0.278,0.24,0.2,0.17,0.162,0.172,0.193,0.214,0.229,0.232,0.222,0.195,0.153,0.104,0.065,0.054,0.088,0.168,0.27,0.35,0.368,0.325,0.259,0.216,0.212,0.23,0.241,0.231,0.204,0.174,0.153,0.146,0.15,0.155,0.153,0.14,0.124,0.113,0.117,0.133,0.152,0.156,0.136,0.098,0.057,0.025,0.008,0.003,0.006,0.023,0.064,0.134,0.223,0.31,0.368,0.388,0.371,0.325,0.261,0.197,0.149,0.13,0.136,0.149,0.156,0.155,0.153,0.154,0.161,0.17,0.177,0.182,0.189,0.198,0.2,0.183,0.143,0.092,0.047,0.019,0.006,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.002,0.008,0.034,0.099,0.21,0.344,0.446,0.472,0.424,0.354,0.315,0.317,0.332,0.33,0.304,0.265,0.225,0.191,0.168,0.158,0.155,0.151,0.147,0.149,0.16,0.171,0.176,0.177,0.179,0.185,0.189,0.185,0.175,0.158,0.137,0.113,0.097,0.096,0.111,0.133,0.151,0.161,0.168,0.176,0.181,0.178,0.165,0.147,0.128,0.108,0.084,0.056,0.031,0.014,0.006,0.004,0.009,0.027,0.071,0.141,0.22,0.276,0.29,0.272,0.246,0.228,0.215,0.203,0.196,0.201,0.211,0.218,0.213,0.201,0.187,0.178,0.179,0.194,0.221,0.259,0.298,0.316,0.296,0.234,0.152,0.081,0.043,0.046,0.087,0.155,0.226,0.276,0.295,0.29,0.276,0.259,0.242,0.232,0.24,0.27,0.302,0.309,0.277,0.219,0.167,0.143,0.149,0.167,0.176,0.167,0.148,0.132,0.127,0.13,0.127,0.115,0.099,0.087,0.087,0.096,0.108,0.117,0.116,0.104,0.082,0.055,0.03,0.012,0.004,0.001,0,0,0,0.002,0.009,0.032,0.08,0.156,0.244,0.319,0.358,0.362,0.344,0.315,0.278,0.235,0.202,0.203,0.242,0.297,0.329,0.313,0.257,0.195,0.156,0.155,0.179,0.204,0.208,0.192,0.176,0.18,0.2,0.216,0.211,0.194,0.185,0.196,0.22,0.238,0.234,0.212,0.184,0.157,0.138,0.126,0.126,0.135,0.146,0.144,0.122,0.086,0.049,0.022,0.007,0.002,0.001,0.003,0.014,0.045,0.111,0.209,0.314,0.388,0.416,0.416,0.415,0.419,0.407,0.36,0.291,0.228,0.188,0.165,0.148,0.138,0.142,0.161,0.178,0.178,0.159,0.133,0.116,0.113,0.119,0.123,0.123,0.12,0.119,0.114,0.1,0.076,0.048,0.025,0.01,0.003,0.001,0,0,0,0.001,0.001,0.002,0.006,0.021,0.06,0.131,0.225,0.313,0.366,0.378,0.364,0.344,0.319,0.285,0.24,0.197,0.168,0.16,0.166,0.18,0.199,0.213,0.212,0.189,0.147,0.098,0.056,0.027,0.011,0.005,0.005,0.015,0.041,0.092,0.165,0.241,0.288,0.292,0.257,0.208,0.167,0.153,0.176,0.229,0.289,0.319,0.302,0.251,0.202,0.175,0.164,0.148,0.116,0.076,0.04,0.017,0.006,0.002,0.004,0.013,0.042,0.1,0.186,0.282,0.361,0.405,0.408,0.375,0.318,0.262,0.235,0.247,0.279,0.301,0.3,0.293,0.301,0.323,0.335,0.318,0.278,0.24,0.224,0.226,0.226,0.213,0.196,0.192,0.202,0.219,0.229,0.227,0.215,0.195,0.173,0.152,0.136,0.122,0.106,0.083,0.055,0.03,0.013,0.005,0.002,0.002,0.003,0.012,0.042,0.1,0.179,0.256,0.303,0.316,0.311,0.3,0.281,0.246,0.2,0.165,0.154,0.159,0.164,0.156,0.142,0.135,0.145,0.166,0.187,0.193,0.179,0.148,0.107,0.066,0.034,0.015,0.005,0.002,0.001,0.001,0.001,0.004,0.014,0.043,0.097,0.176,0.263,0.332,0.365,0.355,0.311,0.25,0.195,0.161,0.152,0.163,0.183,0.203,0.219,0.226,0.225,0.218,0.206,0.189,0.174,0.167,0.17,0.179,0.184,0.181,0.167,0.146,0.122,0.1,0.082,0.066,0.049,0.032,0.018,0.009,0.004,0.008,0.03,0.09,0.197,0.331,0.436,0.462,0.4,0.299,0.217,0.187,0.193,0.202,0.192,0.163,0.13,0.111,0.114,0.131,0.148,0.15,0.138,0.131,0.149,0.197,0.264,0.329,0.377,0.401,0.392,0.347,0.274,0.194,0.133,0.11,0.128,0.174,0.221,0.248,0.25,0.244,0.248,0.27,0.295,0.299,0.268,0.216,0.171,0.163,0.193,0.245,0.292,0.315,0.305,0.266,0.215,0.177,0.166,0.176,0.182,0.172,0.15,0.137,0.148,0.178,0.201,0.194,0.152,0.094,0.045,0.015,0.004,0.001,0,0,0,0,0,0,0]