[0.223,0.243,0.277,0.302,0.304,0.288,0.265,0.244,0.226,0.211,0.201,0.192,0.183,0.179,0.189,0.219,0.26,0.293,0.305,0.298,0.279,0.258,0.239,0.223,0.211,0.202,0.195,0.184,0.166,0.137,0.106,0.09,0.101,0.145,0.205,0.259,0.292,0.304,0.304,0.299,0.291,0.28,0.267,0.259,0.252,0.241,0.223,0.207,0.206,0.223,0.246,0.256,0.248,0.229,0.212,0.204,0.204,0.205,0.201,0.187,0.165,0.137,0.112,0.106,0.129,0.178,0.233,0.27,0.277,0.263,0.24,0.22,0.206,0.203,0.21,0.227,0.244,0.253,0.25,0.24,0.228,0.218,0.211,0.201,0.188,0.17,0.153,0.146,0.155,0.177,0.196,0.196,0.171,0.132,0.098,0.089,0.113,0.165,0.224,0.271,0.292,0.292,0.28,0.268,0.256,0.24,0.217,0.191,0.174,0.177,0.196,0.217,0.229,0.224,0.202,0.17,0.139,0.123,0.131,0.158,0.192,0.218,0.231,0.232,0.221,0.197,0.167,0.147,0.15,0.177,0.211,0.234,0.238,0.228,0.211,0.194,0.176,0.154,0.131,0.113,0.113,0.138,0.18,0.221,0.244,0.243,0.227,0.209,0.2,0.205,0.216,0.222,0.215,0.192,0.158,0.125,0.11,0.124,0.165,0.213,0.251,0.265,0.258,0.236,0.21,0.184,0.174,0.186,0.218,0.254,0.279,0.287,0.281,0.268,0.254,0.243,0.234,0.222,0.205,0.186,0.174,0.177,0.192,0.204,0.2,0.175,0.141,0.118,0.127,0.172,0.238,0.297,0.325,0.321,0.296,0.267,0.242,0.221,0.205,0.2,0.21,0.236,0.268,0.291,0.296,0.284,0.265,0.25,0.241,0.236,0.231,0.227,0.227,0.23,0.231,0.23,0.227,0.223,0.215,0.198,0.17,0.141,0.128,0.144,0.192,0.252,0.299,0.315,0.306,0.288,0.281,0.287,0.299,0.304,0.298,0.285,0.27,0.257,0.248,0.237,0.223,0.205,0.19,0.188,0.201,0.222,0.239,0.242,0.228,0.203,0.173,0.142,0.12,0.118,0.141,0.182,0.224,0.25,0.255,0.243,0.224,0.203,0.182,0.162,0.149,0.15,0.17,0.203,0.237,0.256,0.255,0.242,0.236,0.251,0.282,0.314,0.328,0.319,0.295,0.271,0.253,0.247,0.249,0.257,0.262,0.257,0.235,0.205,0.181,0.18,0.202,0.233,0.255,0.259,0.248,0.236,0.235,0.25,0.271,0.287,0.285,0.267,0.242,0.224,0.217,0.219,0.218,0.208,0.196,0.201,0.228,0.268,0.297,0.299,0.275,0.236,0.197,0.166,0.14,0.116,0.097,0.096,0.124,0.175,0.23,0.268,0.285,0.288,0.289,0.291,0.292,0.288,0.276,0.253,0.221,0.193,0.182,0.196,0.223,0.244,0.246,0.234,0.22,0.212,0.207,0.199,0.182,0.164,0.158,0.173,0.207,0.242,0.263,0.261,0.244,0.225,0.219,0.229,0.249,0.265,0.27,0.262,0.246,0.222,0.193,0.165,0.15,0.157,0.183,0.212,0.23,0.23,0.219,0.211,0.207,0.209,0.212,0.22,0.234,0.248,0.254,0.249,0.234,0.216,0.198,0.181,0.166,0.15,0.14,0.144,0.166,0.194,0.214,0.216,0.199,0.173,0.146,0.135,0.144,0.169,0.194,0.206,0.205,0.198,0.194,0.193,0.193,0.187,0.178,0.174,0.191,0.235,0.292,0.333,0.345,0.332,0.314,0.298,0.286,0.269,0.252,0.239,0.241,0.249,0.256,0.256,0.256,0.26,0.263,0.254,0.234,0.209,0.187,0.165,0.138,0.115,0.117,0.16,0.241,0.325,0.37,0.356,0.298,0.23,0.186,0.18,0.21,0.26,0.308,0.337,0.339,0.326,0.309,0.298,0.285,0.267,0.242,0.218,0.201,0.185,0.164,0.136,0.109,0.101,0.125,0.18,0.246,0.304,0.336,0.34,0.315,0.272,0.22,0.168,0.121,0.083,0.057,0.052,0.079,0.138,0.216,0.286,0.325,0.326,0.309,0.291,0.283,0.278,0.27,0.254,0.237,0.223,0.213,0.201,0.182,0.154,0.121,0.096,0.097,0.134,0.199,0.268,0.313,0.324,0.305,0.273,0.245,0.235,0.247,0.276,0.306,0.323,0.321,0.305,0.276,0.238,0.194,0.156,0.141,0.16,0.207,0.259,0.291,0.292,0.273,0.248,0.228,0.214,0.209,0.212,0.222,0.228,0.221,0.196,0.16,0.127,0.117,0.136,0.182,0.23,0.263,0.273,0.269,0.261,0.255,0.246,0.233,0.215,0.194,0.173,0.16,0.172,0.216,0.284,0.344,0.368,0.347,0.303,0.259,0.228,0.209,0.194,0.184,0.18,0.19,0.208,0.224,0.225,0.207,0.177,0.148,0.133,0.144,0.178,0.221,0.255,0.268,0.265,0.253,0.243,0.235,0.224,0.206,0.178,0.143,0.114,0.108,0.135,0.189,0.248,0.289,0.306,0.304,0.293,0.281,0.272,0.268,0.269,0.269,0.265,0.253,0.235,0.215,0.197,0.183,0.172,0.165,0.161,0.164,0.169,0.168,0.154,0.134,0.128,0.156,0.218,0.284,0.326,0.329,0.306,0.271,0.237,0.209,0.195,0.204,0.232,0.264,0.284,0.284,0.266,0.233,0.193,0.15,0.113,0.096,0.111,0.159,0.225,0.282,0.313,0.317,0.308,0.293,0.274,0.255,0.246,0.255,0.277,0.296,0.296,0.274,0.234,0.188,0.151,0.139,0.161,0.214,0.274,0.32,0.34,0.338,0.322,0.299,0.273,0.248,0.23,0.22,0.213,0.206,0.199,0.196,0.201,0.212,0.218,0.21,0.186,0.152,0.119,0.105,0.124,0.179,0.251,0.313,0.342,0.336,0.307,0.275,0.251,0.235,0.222,0.207,0.185,0.158,0.136,0.127,0.138,0.16,0.176,0.173,0.147,0.108,0.075,0.065,0.089,0.144,0.211,0.262,0.28,0.268,0.243,0.222,0.206,0.189,0.169,0.157,0.164,0.2,0.254,0.31,0.351,0.373,0.376,0.367,0.352,0.334,0.315,0.295,0.277,0.259,0.242,0.221,0.192,0.158,0.132,0.126,0.149,0.191,0.236,0.268,0.284,0.285,0.28,0.272,0.263,0.251,0.24,0.231,0.23,0.236,0.241,0.238,0.221,0.19,0.151,0.117,0.099,0.11,0.147,0.199,0.25,0.29,0.313,0.319,0.311,0.295,0.278,0.267,0.259,0.252,0.238,0.215,0.184,0.156,0.147,0.163,0.2,0.24,0.268,0.279,0.278,0.267,0.249,0.229,0.214,0.208,0.206,0.201,0.192,0.186,0.192,0.209,0.23,0.244,0.249,0.243,0.227,0.203,0.172,0.142,0.123,0.126,0.157,0.211,0.27,0.315,0.333,0.321,0.285,0.237,0.196,0.181,0.198,0.234,0.264,0.267,0.239,0.187,0.133,0.096,0.095,0.131,0.189,0.244,0.278,0.289,0.29,0.288,0.288,0.29,0.292,0.294,0.29,0.281,0.268,0.255,0.244,0.239,0.239,0.244,0.249,0.245,0.225,0.191,0.156,0.138,0.153,0.196,0.247,0.283,0.293,0.28,0.256,0.229,0.199,0.168,0.143,0.137,0.158,0.197,0.236,0.255,0.248,0.224,0.198,0.181,0.179,0.192,0.212,0.227,0.235,0.236,0.236,0.234,0.228,0.212,0.186,0.152,0.118,0.096,0.099,0.132,0.187,0.249,0.303,0.34,0.355,0.35,0.33,0.303,0.279,0.261,0.248,0.241,0.24,0.248,0.258,0.266,0.265,0.258,0.246,0.232,0.22,0.205,0.187,0.167,0.162,0.184,0.227,0.27,0.289,0.279,0.254,0.232,0.22,0.215,0.21,0.199,0.182,0.158,0.136,0.123,0.129,0.156,0.19,0.217,0.228,0.23,0.229,0.229,0.229,0.228,0.229,0.231,0.231,0.232,0.238,0.253,0.272,0.283,0.276,0.254,0.23,0.215,0.21,0.204,0.191,0.173,0.17,0.197,0.252,0.314,0.358,0.373,0.363,0.34,0.311,0.281,0.25,0.223,0.2,0.179,0.161,0.155,0.169,0.204,0.247,0.28,0.294,0.295,0.287,0.272,0.253,0.236,0.232,0.243,0.263,0.278,0.281,0.274,0.263,0.249,0.234,0.218,0.203,0.184,0.161,0.145,0.152,0.188,0.243,0.293,0.32,0.323,0.311,0.296,0.285,0.276,0.268,0.258,0.247,0.24,0.235,0.23,0.22,0.213,0.216,0.238,0.264,0.281,0.276,0.253,0.221,0.192,0.175,0.174,0.188,0.212,0.239,0.26,0.27,0.265,0.25,0.231,0.221,0.224,0.232,0.23,0.208,0.17,0.135,0.127,0.159,0.221,0.283,0.32,0.324,0.307,0.287,0.272,0.254,0.221,0.174,0.123,0.09,0.089,0.116,0.153,0.18,0.195,0.206,0.22,0.233,0.23,0.208,0.174,0.145,0.13,0.129,0.133,0.138,0.144,0.153,0.163,0.166,0.158,0.149,0.157,0.191,0.242,0.288,0.311,0.304,0.269,0.217,0.164,0.134,0.14,0.181,0.234,0.277,0.295,0.294,0.286,0.276,0.265,0.255,0.251,0.253,0.258,0.261,0.257,0.25,0.238,0.227,0.216,0.209,0.208,0.212,0.218,0.223,0.226,0.227,0.224,0.216,0.205,0.197,0.188,0.174,0.15,0.125,0.12,0.149,0.206,0.268,0.312,0.332,0.334,0.326,0.311,0.289,0.265,0.248,0.243,0.252,0.267,0.277,0.272,0.251,0.229,0.221,0.235,0.262,0.285,0.291,0.282,0.266,0.251,0.237,0.223,0.21,0.203,0.208,0.221,0.235,0.238,0.223,0.191,0.153,0.129,0.136,0.179,0.243,0.299,0.325,0.32,0.298,0.277,0.264,0.259,0.253,0.244,0.233,0.222,0.216,0.22,0.23,0.241,0.247,0.243,0.232,0.216,0.195,0.169,0.138,0.105,0.086,0.093,0.133,0.191,0.246,0.281,0.296,0.298,0.298,0.292,0.277,0.249,0.214,0.184,0.177,0.199,0.243,0.285,0.308,0.304,0.283,0.255,0.23,0.213,0.205,0.195,0.178,0.151,0.126,0.119,0.14,0.178,0.216,0.238,0.246,0.248,0.25,0.251,0.245,0.23,0.211,0.194,0.186,0.189,0.197,0.201,0.2,0.196,0.199,0.213,0.235,0.257,0.268,0.267,0.255,0.238,0.22,0.207,0.194,0.177,0.15,0.12,0.102,0.107,0.133,0.166,0.198,0.227,0.258,0.282,0.293,0.289,0.281,0.278,0.285,0.295,0.3,0.293,0.274,0.253,0.24,0.239,0.249,0.262,0.27,0.27,0.262,0.245,0.223,0.202,0.187,0.177,0.167,0.155,0.151,0.17,0.219,0.289,0.354,0.392,0.391,0.364,0.331,0.313,0.31,0.316,0.318,0.31,0.293,0.272,0.252,0.238,0.233,0.242,0.263,0.283,0.286,0.264,0.226,0.194,0.18,0.183,0.188,0.181,0.164,0.147,0.14,0.138,0.128,0.103,0.069,0.043,0.039,0.068,0.128,0.209,0.288,0.35,0.385,0.398,0.39,0.37,0.343,0.316,0.291,0.271,0.255,0.245,0.242,0.245,0.254,0.265,0.278,0.284,0.278,0.256,0.233,0.223,0.239,0.271,0.304,0.322,0.321,0.3,0.262,0.21,0.15,0.096,0.054,0.032,0.033,0.063,0.123,0.204,0.286,0.343,0.367,0.362,0.343,0.318,0.291,0.262,0.241,0.234,0.242,0.258,0.269,0.27,0.261,0.243,0.22,0.195,0.174,0.165,0.174,0.2,0.234,0.263,0.277,0.274,0.263,0.25,0.234,0.21,0.178,0.154,0.162,0.211,0.287,0.356,0.393,0.392,0.365,0.33,0.296,0.269,0.254,0.256,0.27,0.287,0.295,0.293,0.285,0.27,0.244,0.206,0.167,0.145,0.149,0.167,0.177,0.161,0.125,0.094,0.097,0.145,0.228,0.308,0.353,0.35,0.317,0.282,0.261,0.259,0.267,0.28,0.289,0.292,0.282,0.261,0.232,0.204,0.189,0.194,0.212,0.229,0.228,0.204,0.162,0.117,0.087,0.09,0.129,0.195,0.258,0.296,0.3,0.279,0.249,0.223,0.207,0.204,0.219,0.247,0.277,0.297,0.3,0.288,0.264,0.236,0.216,0.215,0.239,0.273,0.301,0.312,0.312,0.309,0.308,0.307,0.305,0.302,0.293,0.276,0.253,0.235,0.232,0.242,0.254,0.256,0.247,0.234,0.232,0.242,0.263,0.281,0.287,0.277,0.256,0.232,0.213,0.198,0.187,0.179,0.175,0.17,0.156,0.129,0.098,0.085,0.111,0.183,0.284,0.38,0.434,0.435,0.394,0.339,0.292,0.273,0.281,0.305,0.325,0.33,0.319,0.303,0.29,0.282,0.274,0.266,0.258,0.252,0.246,0.241,0.24,0.246,0.259,0.273,0.281,0.281,0.275,0.267,0.256,0.241,0.217,0.192,0.178,0.186,0.212,0.236,0.244,0.23,0.204,0.175,0.159,0.169,0.213,0.277,0.341,0.381,0.392,0.375,0.343,0.306,0.274,0.251,0.238,0.229,0.23,0.246,0.277,0.306,0.319,0.309,0.292,0.28,0.278,0.276,0.268,0.252,0.234,0.215,0.195,0.178,0.175,0.196,0.233,0.265,0.277,0.266,0.242,0.216,0.191,0.162,0.126,0.091,0.069,0.076,0.119,0.185,0.252,0.295,0.305,0.291,0.269,0.251,0.24,0.23,0.219,0.205,0.198,0.204,0.228,0.265,0.305,0.333,0.343,0.332,0.309,0.284,0.261,0.238,0.214,0.192,0.18,0.179,0.186,0.196,0.203,0.205,0.196,0.171,0.139,0.124,0.14,0.184,0.232,0.261,0.266,0.259,0.253,0.249,0.249,0.25,0.256,0.261,0.262,0.255,0.243,0.235,0.241,0.257,0.274,0.28,0.274,0.266,0.262,0.262,0.256,0.246,0.242,0.252,0.267,0.272,0.254,0.219,0.186,0.171,0.181,0.203,0.22,0.215,0.188,0.154,0.136,0.149,0.19,0.246,0.297,0.328,0.33,0.31,0.278,0.246,0.217,0.191,0.165,0.138,0.11,0.081,0.056,0.048,0.07,0.125,0.2,0.271,0.315,0.326,0.314,0.299,0.288,0.285,0.281,0.27,0.246,0.21,0.167,0.13,0.111,0.116,0.141,0.175,0.208,0.228,0.232,0.216,0.184,0.143,0.111,0.103,0.127,0.169,0.211,0.235,0.241,0.235,0.225,0.207,0.18,0.147,0.123,0.121,0.145,0.182,0.208,0.21,0.192,0.173,0.168,0.179,0.196,0.201,0.187,0.158,0.13,0.119,0.138,0.186,0.245,0.297,0.327,0.335,0.327,0.311,0.292,0.274,0.262,0.257,0.261,0.268,0.271,0.263,0.248,0.232,0.218,0.207,0.198,0.191,0.188,0.188,0.185,0.171,0.141,0.104,0.078,0.079,0.112,0.167,0.226,0.279,0.318,0.341,0.34,0.316,0.281,0.251,0.24,0.247,0.262,0.273,0.275,0.269,0.255,0.232,0.201,0.165,0.135,0.121,0.127,0.147,0.175,0.212,0.255,0.294,0.314,0.314,0.306,0.305,0.308,0.298,0.263,0.219,0.194,0.204,0.234,0.264,0.285,0.304,0.322,0.331,0.324,0.302,0.274,0.255,0.254,0.27,0.296,0.317,0.325,0.325,0.327,0.332,0.335,0.328,0.309,0.285,0.257,0.227,0.201,0.186,0.178,0.17,0.15,0.122,0.093,0.078,0.086,0.119,0.164,0.208,0.236,0.243,0.232,0.216,0.211,0.23,0.264,0.288,0.282,0.251,0.218,0.201,0.203,0.209,0.205,0.187,0.156,0.125,0.112,0.133,0.19,0.26,0.314,0.333,0.319,0.289,0.264,0.253,0.254,0.252,0.243,0.225,0.204,0.187,0.178,0.179,0.19,0.204,0.216,0.221,0.221,0.217,0.209,0.191,0.163,0.134,0.118,0.124,0.145,0.166,0.185,0.206,0.232,0.255,0.269,0.272,0.267,0.255,0.232,0.197,0.154,0.118,0.106,0.128,0.169,0.209,0.233,0.245,0.255,0.267,0.277,0.281,0.282,0.284,0.288,0.287,0.276,0.255,0.23,0.21,0.195,0.183,0.175,0.181,0.205,0.241,0.274,0.296,0.307,0.309,0.302,0.287,0.27,0.258,0.25,0.24,0.221,0.192,0.16,0.139,0.142,0.172,0.219,0.268,0.303,0.32,0.321,0.312,0.3,0.287,0.278,0.27,0.26,0.246,0.228,0.21,0.199,0.201,0.215,0.234,0.246,0.24,0.214,0.171,0.121,0.082,0.072,0.103,0.171,0.252,0.321,0.36,0.373,0.368,0.357,0.345,0.331,0.309,0.273,0.223,0.178,0.158,0.174,0.21,0.246,0.265,0.266,0.25,0.221,0.182,0.139,0.104,0.091,0.11,0.163,0.233,0.299,0.34,0.351,0.335,0.3,0.258,0.223,0.205,0.199,0.196,0.186,0.169,0.148,0.131,0.127,0.147,0.196,0.262,0.319,0.348,0.35,0.335,0.321,0.312,0.305,0.295,0.281,0.264,0.245,0.219,0.186,0.158,0.151,0.168,0.197,0.219,0.226,0.218,0.202,0.178,0.152,0.133,0.133,0.147,0.158,0.148,0.121,0.097,0.099,0.128,0.167,0.198,0.21,0.207,0.191,0.165,0.137,0.122,0.128,0.153,0.181,0.199,0.212,0.227,0.248,0.266,0.272,0.264,0.25,0.236,0.223,0.205,0.178,0.139,0.097,0.065,0.059,0.081,0.121,0.162,0.196,0.222,0.243,0.253,0.241,0.205,0.157,0.118,0.103,0.11,0.121,0.123,0.12,0.126,0.15,0.191,0.235,0.272,0.296,0.309,0.311,0.308,0.299,0.286,0.275,0.272,0.281,0.297,0.311,0.317,0.314,0.306,0.298,0.29,0.284,0.286,0.297,0.315,0.334,0.346,0.349,0.35,0.358,0.38,0.415,0.46,0.508,0.556,0.601,0.641,0.669,0.682,0.688,0.697,0.717,0.738,0.744,0.724,0.681,0.633,0.598,0.589,0.605,0.64,0.68,0.708,0.712,0.688,0.644,0.594,0.552,0.525,0.516,0.529,0.56,0.604,0.651,0.691,0.718,0.726,0.717,0.692,0.662,0.641,0.642,0.663,0.695,0.721,0.731,0.724,0.702,0.671,0.637,0.612,0.606,0.624,0.66,0.699,0.731,0.747,0.745,0.726,0.692,0.651,0.609,0.574,0.551,0.541,0.547,0.569,0.604,0.647,0.692,0.737,0.778,0.81,0.823,0.808,0.766,0.708,0.653,0.618,0.611,0.632,0.676,0.731,0.781,0.812,0.816,0.799,0.774,0.753,0.738,0.73,0.73,0.742,0.764,0.783,0.789,0.779,0.757,0.731,0.712,0.709,0.728,0.759,0.785,0.785,0.757,0.716,0.682,0.666,0.664,0.668,0.671,0.675,0.68,0.687,0.694,0.696,0.698,0.706,0.727,0.762,0.802,0.837,0.86,0.872,0.877,0.873,0.857,0.822,0.764,0.695,0.63,0.585,0.57,0.581,0.606,0.628,0.637,0.633,0.619,0.601,0.582,0.564,0.548,0.541,0.543,0.551,0.558,0.559,0.556,0.55,0.546,0.543,0.544,0.549,0.557,0.564,0.564,0.557,0.544,0.53,0.519,0.514,0.518,0.535,0.567,0.608,0.647,0.675,0.69,0.694,0.688,0.669,0.638,0.606,0.587,0.589,0.611,0.641,0.667,0.681,0.678,0.661,0.638,0.617,0.607,0.615,0.639,0.671,0.699,0.717,0.723,0.714,0.691,0.657,0.62,0.59,0.57,0.562,0.564,0.578,0.603,0.639,0.683,0.728,0.772,0.81,0.84,0.852,0.839,0.797,0.735,0.673,0.628,0.613,0.627,0.665,0.714,0.761,0.794,0.812,0.819,0.822,0.822,0.814,0.8,0.788,0.787,0.798,0.807,0.802,0.778,0.745,0.716,0.699,0.701,0.721,0.753,0.785,0.799,0.786,0.753,0.718,0.702,0.711,0.738,0.766,0.785,0.797,0.814,0.842,0.877,0.908,0.921,0.915,0.897,0.88,0.872,0.873,0.871,0.852,0.81,0.75,0.687,0.638,0.617,0.628,0.665,0.718,0.774,0.824,0.856,0.864,0.846,0.814,0.784,0.772,0.779,0.799,0.823,0.838,0.832,0.805,0.766,0.734,0.722,0.734,0.763,0.802,0.843,0.876,0.89,0.881,0.856,0.828,0.804,0.791,0.788,0.791,0.794,0.79,0.776,0.756,0.737,0.727,0.729,0.742,0.761,0.782,0.798,0.806,0.807,0.804,0.8,0.797,0.794,0.796,0.801,0.806,0.808,0.802,0.79,0.773,0.752,0.73,0.712,0.701,0.703,0.717,0.734,0.744,0.737,0.712,0.675,0.638,0.611,0.599,0.599,0.606,0.613,0.615,0.61,0.597,0.575,0.545,0.508,0.468,0.427,0.392,0.364,0.343,0.329,0.319,0.313,0.309,0.305,0.296,0.277,0.246,0.203,0.154,0.109,0.073,0.048,0.032,0.02,0.012,0.006,0.003,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]