[0.013,0.013,0.012,0.012,0.013,0.015,0.017,0.02,0.022,0.024,0.025,0.026,0.026,0.029,0.035,0.048,0.066,0.086,0.103,0.112,0.112,0.108,0.101,0.097,0.094,0.094,0.097,0.101,0.103,0.103,0.1,0.096,0.094,0.093,0.093,0.091,0.088,0.085,0.083,0.082,0.084,0.088,0.093,0.097,0.099,0.098,0.096,0.094,0.095,0.101,0.108,0.115,0.116,0.111,0.1,0.089,0.081,0.078,0.083,0.093,0.104,0.112,0.113,0.108,0.1,0.096,0.1,0.109,0.117,0.118,0.11,0.098,0.087,0.08,0.077,0.079,0.084,0.089,0.094,0.097,0.097,0.096,0.093,0.089,0.085,0.08,0.077,0.077,0.081,0.09,0.099,0.106,0.112,0.117,0.122,0.128,0.133,0.138,0.142,0.143,0.141,0.135,0.127,0.119,0.111,0.107,0.108,0.116,0.128,0.14,0.147,0.148,0.146,0.143,0.14,0.137,0.138,0.146,0.161,0.178,0.189,0.189,0.181,0.172,0.167,0.169,0.174,0.18,0.183,0.183,0.183,0.187,0.201,0.221,0.236,0.232,0.204,0.161,0.12,0.092,0.079,0.078,0.082,0.088,0.099,0.116,0.138,0.158,0.169,0.171,0.168,0.166,0.166,0.168,0.166,0.164,0.16,0.155,0.145,0.128,0.108,0.089,0.074,0.061,0.05,0.041,0.035,0.03,0.026,0.022,0.021,0.023,0.032,0.047,0.068,0.092,0.118,0.144,0.164,0.177,0.18,0.176,0.17,0.165,0.163,0.163,0.166,0.171,0.18,0.19,0.201,0.209,0.211,0.207,0.202,0.199,0.202,0.21,0.223,0.237,0.25,0.259,0.262,0.257,0.242,0.222,0.202,0.187,0.177,0.172,0.172,0.176,0.179,0.177,0.17,0.163,0.158,0.159,0.162,0.168,0.175,0.18,0.18,0.177,0.172,0.171,0.174,0.181,0.189,0.194,0.193,0.187,0.179,0.172,0.166,0.161,0.157,0.155,0.153,0.151,0.146,0.137,0.127,0.116,0.11,0.111,0.119,0.131,0.145,0.156,0.161,0.159,0.149,0.134,0.117,0.102,0.09,0.081,0.074,0.069,0.068,0.07,0.076,0.083,0.09,0.097,0.104,0.112,0.122,0.133,0.144,0.153,0.157,0.155,0.15,0.139,0.125,0.108,0.091,0.075,0.06,0.047,0.036,0.03,0.029,0.033,0.041,0.054,0.068,0.082,0.094,0.103,0.112,0.12,0.13,0.144,0.16,0.177,0.192,0.203,0.208,0.206,0.2,0.191,0.179,0.167,0.157,0.15,0.148,0.147,0.146,0.143,0.139,0.142,0.152,0.167,0.178,0.179,0.174,0.167,0.162,0.16,0.158,0.156,0.154,0.155,0.166,0.192,0.229,0.263,0.275,0.259,0.224,0.188,0.164,0.155,0.155,0.157,0.158,0.157,0.161,0.174,0.194,0.219,0.24,0.253,0.253,0.242,0.224,0.208,0.2,0.204,0.213,0.222,0.227,0.23,0.236,0.249,0.268,0.289,0.304,0.306,0.298,0.285,0.271,0.259,0.246,0.235,0.229,0.232,0.243,0.258,0.27,0.277,0.279,0.279,0.282,0.287,0.291,0.291,0.286,0.274,0.257,0.233,0.206,0.18,0.161,0.151,0.147,0.143,0.139,0.136,0.136,0.136,0.133,0.127,0.125,0.134,0.153,0.173,0.181,0.175,0.161,0.15,0.145,0.144,0.141,0.137,0.132,0.129,0.13,0.133,0.137,0.14,0.138,0.132,0.124,0.118,0.115,0.113,0.106,0.095,0.083,0.071,0.062,0.054,0.046,0.037,0.03,0.027,0.029,0.034,0.041,0.051,0.065,0.086,0.113,0.145,0.177,0.203,0.221,0.233,0.241,0.248,0.254,0.259,0.264,0.267,0.267,0.262,0.257,0.259,0.271,0.288,0.3,0.299,0.284,0.262,0.246,0.241,0.246,0.253,0.255,0.251,0.245,0.242,0.241,0.24,0.237,0.232,0.223,0.212,0.196,0.18,0.167,0.161,0.162,0.168,0.175,0.182,0.186,0.188,0.191,0.197,0.205,0.21,0.211,0.208,0.204,0.205,0.209,0.213,0.214,0.213,0.212,0.211,0.21,0.205,0.196,0.186,0.174,0.161,0.145,0.13,0.118,0.111,0.109,0.111,0.114,0.118,0.12,0.121,0.123,0.127,0.138,0.155,0.172,0.183,0.181,0.166,0.147,0.134,0.133,0.141,0.149,0.152,0.149,0.146,0.147,0.15,0.15,0.146,0.141,0.137,0.137,0.141,0.147,0.154,0.161,0.166,0.169,0.169,0.164,0.151,0.134,0.117,0.105,0.098,0.094,0.089,0.079,0.066,0.052,0.039,0.029,0.022,0.018,0.015,0.012,0.011,0.011,0.011,0.012,0.013,0.015,0.02,0.032,0.05,0.071,0.092,0.109,0.123,0.138,0.164,0.205,0.264,0.334,0.41,0.479,0.527,0.541,0.515,0.457,0.392,0.346,0.328,0.331,0.333,0.324,0.303,0.279,0.261,0.255,0.26,0.274,0.293,0.312,0.327,0.335,0.33,0.313,0.293,0.279,0.278,0.286,0.294,0.294,0.284,0.269,0.262,0.269,0.283,0.29,0.277,0.249,0.221,0.211,0.228,0.269,0.322,0.38,0.432,0.471,0.491,0.496,0.489,0.47,0.441,0.406,0.372,0.344,0.322,0.303,0.285,0.266,0.249,0.238,0.234,0.234,0.233,0.234,0.237,0.243,0.248,0.248,0.244,0.241,0.244,0.255,0.271,0.284,0.291,0.294,0.302,0.32,0.341,0.349,0.33,0.29,0.245,0.207,0.181,0.165,0.156,0.156,0.164,0.179,0.192,0.198,0.195,0.185,0.175,0.168,0.163,0.159,0.154,0.144,0.134,0.124,0.119,0.117,0.114,0.105,0.09,0.071,0.054,0.042,0.033,0.028,0.025,0.021,0.018,0.017,0.02,0.031,0.054,0.087,0.125,0.164,0.199,0.228,0.254,0.276,0.298,0.321,0.341,0.347,0.335,0.305,0.269,0.237,0.219,0.216,0.23,0.255,0.283,0.304,0.308,0.293,0.267,0.243,0.235,0.242,0.253,0.257,0.25,0.241,0.236,0.241,0.258,0.284,0.317,0.356,0.399,0.446,0.49,0.523,0.53,0.507,0.459,0.401,0.35,0.318,0.306,0.307,0.314,0.323,0.336,0.354,0.383,0.415,0.444,0.46,0.46,0.443,0.413,0.375,0.334,0.296,0.266,0.245,0.235,0.231,0.232,0.233,0.233,0.23,0.224,0.214,0.202,0.193,0.19,0.193,0.201,0.211,0.223,0.235,0.245,0.248,0.243,0.231,0.219,0.211,0.21,0.213,0.215,0.215,0.211,0.207,0.202,0.195,0.186,0.177,0.173,0.176,0.19,0.213,0.24,0.265,0.277,0.275,0.26,0.239,0.216,0.194,0.175,0.158,0.144,0.131,0.119,0.113,0.125,0.158,0.202,0.242,0.266,0.281,0.298,0.318,0.329,0.319,0.287,0.252,0.23,0.227,0.238,0.251,0.26,0.268,0.277,0.287,0.296,0.304,0.313,0.326,0.336,0.334,0.319,0.302,0.297,0.313,0.353,0.413,0.487,0.557,0.608,0.627,0.626,0.619,0.614,0.603,0.575,0.525,0.468,0.417,0.385,0.37,0.367,0.371,0.375,0.374,0.368,0.357,0.346,0.333,0.318,0.297,0.272,0.249,0.233,0.231,0.242,0.258,0.271,0.279,0.29,0.313,0.347,0.376,0.385,0.37,0.341,0.309,0.277,0.247,0.22,0.202,0.196,0.2,0.209,0.22,0.233,0.252,0.275,0.293,0.298,0.283,0.253,0.222,0.2,0.192,0.194,0.199,0.201,0.198,0.194,0.193,0.201,0.221,0.253,0.291,0.324,0.342,0.334,0.299,0.248,0.195,0.153,0.131,0.127,0.138,0.155,0.172,0.186,0.2,0.214,0.228,0.239,0.244,0.246,0.248,0.249,0.246,0.239,0.23,0.225,0.224,0.224,0.219,0.209,0.191,0.166,0.137,0.109,0.085,0.064,0.048,0.036,0.029,0.027,0.028,0.034,0.042,0.053,0.065,0.081,0.099,0.119,0.137,0.15,0.155,0.154,0.151,0.152,0.159,0.168,0.177,0.182,0.187,0.194,0.201,0.205,0.202,0.195,0.189,0.187,0.188,0.189,0.188,0.187,0.189,0.194,0.195,0.19,0.178,0.162,0.148,0.139,0.134,0.133,0.133,0.132,0.13,0.128,0.127,0.128,0.13,0.131,0.128,0.122,0.116,0.111,0.109,0.11,0.114,0.12,0.126,0.13,0.128,0.117,0.1,0.081,0.065,0.054,0.045,0.039,0.037,0.038,0.044,0.055,0.071,0.087,0.101,0.111,0.119,0.128,0.142,0.159,0.178,0.192,0.199,0.198,0.195,0.196,0.204,0.219,0.235,0.249,0.258,0.261,0.258,0.252,0.248,0.248,0.254,0.262,0.267,0.265,0.255,0.239,0.221,0.208,0.204,0.207,0.212,0.212,0.207,0.201,0.198,0.201,0.209,0.215,0.216,0.207,0.192,0.177,0.168,0.167,0.172,0.173,0.167,0.153,0.133,0.112,0.092,0.075,0.061,0.051,0.044,0.038,0.031,0.024,0.018,0.017,0.023,0.037,0.06,0.091,0.126,0.162,0.195,0.221,0.24,0.254,0.267,0.284,0.305,0.328,0.347,0.359,0.366,0.371,0.374,0.373,0.368,0.36,0.354,0.352,0.353,0.358,0.367,0.383,0.402,0.418,0.423,0.412,0.387,0.353,0.319,0.295,0.287,0.302,0.337,0.383,0.426,0.455,0.459,0.445,0.426,0.423,0.441,0.47,0.491,0.488,0.458,0.413,0.363,0.323,0.299,0.291,0.296,0.306,0.316,0.325,0.33,0.33,0.326,0.316,0.304,0.29,0.272,0.25,0.227,0.209,0.198,0.192,0.189,0.188,0.188,0.19,0.191,0.188,0.182,0.176,0.175,0.178,0.179,0.174,0.163,0.148,0.139,0.139,0.152,0.172,0.187,0.192,0.188,0.186,0.192,0.204,0.212,0.211,0.2,0.184,0.166,0.154,0.153,0.165,0.185,0.201,0.208,0.203,0.193,0.186,0.184,0.187,0.191,0.194,0.192,0.184,0.171,0.161,0.157,0.159,0.164,0.166,0.167,0.168,0.173,0.183,0.197,0.21,0.223,0.233,0.237,0.235,0.227,0.217,0.206,0.197,0.19,0.184,0.179,0.17,0.154,0.134,0.115,0.101,0.089,0.078,0.065,0.053,0.045,0.04,0.037,0.034,0.03,0.026,0.022,0.018,0.014,0.011,0.008,0.006,0.004,0.003,0.002,0.003,0.004,0.007,0.012,0.018,0.027,0.039,0.053,0.07,0.087,0.106,0.123,0.14,0.155,0.17,0.183,0.193,0.197,0.196,0.19,0.182,0.174,0.169,0.165,0.162,0.156,0.148,0.138,0.131,0.132,0.141,0.16,0.185,0.207,0.219,0.218,0.206,0.196,0.198,0.212,0.228,0.232,0.219,0.192,0.165,0.143,0.129,0.121,0.115,0.114,0.116,0.123,0.135,0.151,0.164,0.17,0.165,0.152,0.138,0.128,0.124,0.126,0.132,0.142,0.154,0.166,0.175,0.18,0.183,0.187,0.192,0.197,0.201,0.207,0.218,0.237,0.264,0.297,0.331,0.354,0.36,0.353,0.343,0.337,0.33,0.32,0.309,0.306,0.307,0.302,0.279,0.242,0.203,0.176,0.162,0.159,0.163,0.17,0.178,0.184,0.188,0.193,0.198,0.203,0.206,0.206,0.206,0.208,0.211,0.216,0.22,0.223,0.223,0.22,0.214,0.204,0.192,0.181,0.172,0.162,0.148,0.131,0.115,0.106,0.107,0.114,0.123,0.13,0.133,0.135,0.137,0.137,0.136,0.131,0.126,0.122,0.119,0.118,0.118,0.118,0.117,0.115,0.111,0.106,0.102,0.1,0.101,0.102,0.099,0.09,0.077,0.063,0.05,0.039,0.031,0.023,0.017,0.012,0.009,0.009,0.011,0.019,0.031,0.049,0.071,0.095,0.119,0.14,0.16,0.178,0.194,0.205,0.209,0.205,0.2,0.2,0.209,0.222,0.234,0.239,0.237,0.229,0.222,0.215,0.212,0.214,0.221,0.227,0.229,0.221,0.209,0.197,0.191,0.188,0.184,0.178,0.171,0.166,0.165,0.167,0.168,0.168,0.166,0.165,0.167,0.172,0.18,0.189,0.198,0.204,0.206,0.202,0.192,0.177,0.163,0.155,0.156,0.164,0.174,0.18,0.181,0.178,0.17,0.161,0.15,0.139,0.129,0.122,0.115,0.109,0.105,0.101,0.099,0.1,0.102,0.104,0.104,0.102,0.096,0.091,0.087,0.088,0.092,0.099,0.104,0.104,0.103,0.101,0.101,0.102,0.103,0.105,0.111,0.12,0.129,0.132,0.13,0.124,0.117,0.112,0.107,0.104,0.1,0.097,0.096,0.095,0.093,0.088,0.081,0.073,0.067,0.061,0.056,0.048,0.04,0.033,0.027,0.025,0.029,0.038,0.055,0.078,0.105,0.13,0.15,0.166,0.177,0.187,0.196,0.203,0.206,0.206,0.199,0.187,0.172,0.155,0.141,0.131,0.128,0.129,0.135,0.142,0.148,0.157,0.168,0.181,0.192,0.195,0.189,0.174,0.155,0.137,0.122,0.114,0.111,0.113,0.118,0.128,0.14,0.152,0.163,0.171,0.175,0.176,0.174,0.172,0.169,0.168,0.173,0.184,0.198,0.209,0.214,0.214,0.212,0.207,0.195,0.177,0.153,0.128,0.106,0.09,0.081,0.079,0.085,0.094,0.107,0.126,0.151,0.178,0.201,0.211,0.206,0.19,0.172,0.16,0.155,0.157,0.159,0.161,0.161,0.161,0.162,0.163,0.161,0.156,0.149,0.144,0.141,0.143,0.149,0.155,0.161,0.164,0.166,0.165,0.161,0.15,0.132,0.11,0.09,0.075,0.067,0.064,0.065,0.068,0.07,0.073,0.076,0.077,0.076,0.071,0.066,0.066,0.074,0.088,0.102,0.113,0.12,0.128,0.136,0.141,0.141,0.136,0.13,0.125,0.123,0.121,0.116,0.107,0.095,0.084,0.075,0.069,0.064,0.058,0.051,0.043,0.034,0.025,0.019,0.014,0.012,0.01,0.011,0.014,0.022,0.036,0.053,0.071,0.088,0.103,0.115,0.126,0.139,0.154,0.168,0.179,0.188,0.194,0.198,0.198,0.195,0.19,0.184,0.181,0.183,0.188,0.192,0.191,0.186,0.18,0.176,0.178,0.182,0.186,0.187,0.188,0.189,0.188,0.182,0.17,0.155,0.142,0.133,0.128,0.125,0.123,0.121,0.12,0.122,0.127,0.136,0.15,0.164,0.176,0.18,0.177,0.17,0.16,0.15,0.142,0.139,0.141,0.145,0.15,0.154,0.156,0.157,0.155,0.15,0.142,0.134,0.126,0.119,0.111,0.103,0.095,0.089,0.087,0.087,0.09,0.094,0.098,0.1,0.102,0.104,0.107,0.109,0.109,0.106,0.107,0.114,0.129,0.146,0.158,0.163,0.163,0.165,0.171,0.177,0.176,0.162,0.14,0.117,0.101,0.093,0.088,0.085,0.083,0.083,0.084,0.083,0.081,0.078,0.076,0.074,0.073,0.072,0.07,0.066,0.06,0.053,0.046,0.04,0.035,0.03,0.026,0.022,0.018,0.014,0.011,0.009,0.007,0.006,0.005,0.004,0.007,0.014,0.027,0.046,0.07,0.095,0.121,0.146,0.172,0.206,0.261,0.349,0.467,0.591,0.683,0.716,0.694,0.653,0.631,0.639,0.656,0.651,0.606,0.534,0.459,0.403,0.371,0.354,0.342,0.329,0.32,0.321,0.333,0.354,0.373,0.379,0.369,0.347,0.323,0.301,0.282,0.268,0.262,0.266,0.275,0.282,0.277,0.262,0.242,0.222,0.205,0.191,0.182,0.186,0.207,0.241,0.283,0.33,0.38,0.423,0.445,0.438,0.408,0.374,0.343,0.314,0.28,0.24,0.199,0.168,0.151,0.151,0.164,0.182,0.196,0.204,0.206,0.209,0.215,0.224,0.234,0.247,0.266,0.29,0.312,0.327,0.33,0.321,0.306,0.289,0.274,0.262,0.252,0.241,0.229,0.215,0.202,0.192,0.186,0.182,0.178,0.173,0.171,0.175,0.183,0.192,0.201,0.211,0.222,0.234,0.239,0.235,0.223,0.21,0.201,0.196,0.19,0.179,0.163,0.143,0.125,0.108,0.095,0.083,0.069,0.055,0.04,0.029,0.021,0.016,0.013,0.013,0.019,0.036,0.069,0.117,0.174,0.228,0.272,0.301,0.317,0.326,0.328,0.324,0.311,0.29,0.264,0.237,0.214,0.199,0.194,0.206,0.238,0.292,0.364,0.444,0.521,0.593,0.659,0.717,0.756,0.768,0.747,0.7,0.633,0.551,0.461,0.377,0.313,0.279,0.27,0.273,0.276,0.273,0.266,0.259,0.253,0.246,0.236,0.224,0.212,0.209,0.219,0.241,0.267,0.292,0.314,0.336,0.362,0.388,0.41,0.424,0.428,0.42,0.402,0.372,0.336,0.299,0.268,0.246,0.23,0.219,0.21,0.207,0.209,0.215,0.222,0.227,0.232,0.242,0.258,0.277,0.292,0.296,0.288,0.272,0.257,0.248,0.245,0.242,0.234,0.22,0.204,0.191,0.183,0.184,0.188,0.189,0.182,0.166,0.146,0.133,0.129,0.134,0.141,0.146,0.146,0.142,0.138,0.136,0.138,0.142,0.146,0.146,0.144,0.139,0.131,0.12,0.108,0.094,0.079,0.063,0.047,0.033,0.025,0.027,0.044,0.077,0.116,0.146,0.154,0.142,0.127,0.127,0.15,0.189,0.234,0.277,0.312,0.339,0.357,0.363,0.357,0.34,0.312,0.277,0.241,0.214,0.202,0.208,0.229,0.264,0.309,0.364,0.427,0.494,0.551,0.586,0.588,0.558,0.51,0.461,0.426,0.405,0.39,0.374,0.355,0.34,0.334,0.337,0.346,0.359,0.372,0.382,0.384,0.376,0.354,0.319,0.277,0.244,0.232,0.248,0.284,0.323,0.353,0.37,0.379,0.383,0.38,0.367,0.344,0.316,0.295,0.29,0.301,0.315,0.319,0.304,0.279,0.258,0.254,0.267,0.286,0.301,0.31,0.317,0.324,0.326,0.318,0.302,0.283,0.269,0.264,0.268,0.281,0.304,0.334,0.363,0.387,0.406,0.427,0.45,0.468,0.472,0.454,0.415,0.364,0.313,0.269,0.238,0.219,0.216,0.226,0.244,0.264,0.283,0.296,0.303,0.301,0.293,0.288,0.296,0.312,0.323,0.315,0.293,0.273,0.269,0.279,0.287,0.282,0.258,0.222,0.181,0.143,0.111,0.087,0.074,0.073,0.084,0.1,0.112,0.111,0.095,0.074,0.06,0.062,0.082,0.115,0.153,0.187,0.216,0.24,0.265,0.287,0.301,0.304,0.3,0.297,0.3,0.305,0.302,0.287,0.261,0.232,0.209,0.196,0.193,0.201,0.216,0.23,0.235,0.231,0.224,0.22,0.22,0.217,0.206,0.189,0.171,0.159,0.155,0.158,0.163,0.169,0.173,0.176,0.177,0.177,0.176,0.174,0.173,0.176,0.181,0.187,0.19,0.185,0.173,0.157,0.143,0.133,0.128,0.126,0.125,0.121,0.112,0.096,0.078,0.062,0.053,0.052,0.056,0.064,0.075,0.092,0.116,0.146,0.176,0.201,0.223,0.245,0.27,0.294,0.313,0.323,0.329,0.335,0.343,0.347,0.342,0.33,0.317,0.309,0.308,0.312,0.317,0.322,0.324,0.324,0.32,0.313,0.302,0.287,0.269,0.249,0.228,0.208,0.191,0.179,0.175,0.178,0.185,0.189,0.187,0.177,0.164,0.153,0.145,0.144,0.152,0.172,0.2,0.226,0.237,0.228,0.207,0.187,0.177,0.176,0.173,0.159,0.134,0.106,0.082,0.065,0.052,0.044,0.039,0.038,0.041,0.046,0.056,0.074,0.102,0.141,0.185,0.23,0.269,0.3,0.325,0.347,0.368,0.391,0.413,0.428,0.431,0.423,0.41,0.396,0.382,0.367,0.35,0.331,0.316,0.307,0.308,0.316,0.326,0.336,0.348,0.36,0.373,0.381,0.382,0.372,0.351,0.324,0.296,0.277,0.271,0.287,0.324,0.378,0.438,0.494,0.534,0.554,0.558,0.555,0.552,0.549,0.543,0.53,0.511,0.487,0.459,0.423,0.378,0.331,0.294,0.272,0.263,0.258,0.25,0.238,0.226,0.212,0.198,0.183,0.17,0.162,0.161,0.167,0.18,0.197,0.213,0.229,0.241,0.246,0.242,0.232,0.222,0.222,0.234,0.257,0.28,0.294,0.303,0.315,0.335,0.354,0.357,0.335,0.298,0.265,0.249,0.254,0.27,0.287,0.299,0.306,0.311,0.317,0.326,0.333,0.336,0.34,0.346,0.353,0.355,0.349,0.335,0.318,0.301,0.286,0.278,0.277,0.282,0.29,0.296,0.298,0.3,0.304,0.313,0.323,0.332,0.336,0.333,0.326,0.316,0.306,0.296,0.285,0.273,0.26,0.248,0.239,0.233,0.23,0.228,0.226,0.223,0.221,0.22,0.22,0.224,0.23,0.235,0.234,0.231,0.233,0.243,0.258,0.272,0.28,0.283,0.284,0.277,0.26,0.233,0.202,0.177,0.158,0.144,0.133,0.128]