[0.01,0.01,0.011,0.013,0.017,0.022,0.028,0.034,0.038,0.04,0.041,0.04,0.037,0.034,0.031,0.028,0.026,0.025,0.024,0.022,0.02,0.018,0.017,0.017,0.017,0.018,0.018,0.018,0.019,0.02,0.021,0.023,0.024,0.026,0.029,0.03,0.029,0.027,0.023,0.02,0.017,0.015,0.016,0.018,0.021,0.023,0.024,0.023,0.022,0.02,0.019,0.017,0.015,0.013,0.014,0.016,0.02,0.025,0.03,0.035,0.039,0.041,0.042,0.044,0.048,0.057,0.068,0.079,0.088,0.093,0.096,0.1,0.107,0.117,0.127,0.135,0.138,0.14,0.142,0.145,0.142,0.132,0.113,0.091,0.072,0.062,0.063,0.077,0.098,0.119,0.135,0.144,0.147,0.149,0.151,0.156,0.162,0.169,0.175,0.18,0.185,0.192,0.198,0.2,0.198,0.192,0.187,0.186,0.189,0.191,0.188,0.181,0.176,0.177,0.184,0.196,0.209,0.224,0.245,0.271,0.298,0.315,0.313,0.29,0.252,0.212,0.184,0.175,0.183,0.199,0.217,0.233,0.247,0.261,0.276,0.29,0.306,0.322,0.337,0.348,0.349,0.336,0.305,0.26,0.21,0.165,0.135,0.123,0.129,0.149,0.176,0.205,0.235,0.266,0.3,0.334,0.368,0.396,0.417,0.429,0.431,0.427,0.416,0.402,0.386,0.372,0.363,0.359,0.362,0.372,0.388,0.4,0.397,0.378,0.349,0.321,0.304,0.299,0.298,0.293,0.278,0.257,0.239,0.23,0.233,0.241,0.247,0.249,0.25,0.251,0.252,0.25,0.242,0.23,0.218,0.214,0.219,0.231,0.245,0.253,0.251,0.243,0.238,0.243,0.262,0.289,0.318,0.343,0.361,0.365,0.357,0.342,0.332,0.333,0.344,0.355,0.359,0.354,0.343,0.327,0.303,0.266,0.218,0.167,0.123,0.092,0.073,0.061,0.052,0.044,0.038,0.032,0.027,0.022,0.018,0.017,0.022,0.038,0.07,0.118,0.174,0.226,0.263,0.281,0.284,0.283,0.283,0.284,0.282,0.272,0.255,0.232,0.207,0.181,0.155,0.129,0.108,0.097,0.105,0.133,0.175,0.224,0.27,0.311,0.347,0.377,0.399,0.405,0.389,0.348,0.29,0.23,0.185,0.169,0.184,0.218,0.253,0.274,0.276,0.271,0.271,0.282,0.3,0.312,0.308,0.289,0.265,0.251,0.26,0.288,0.321,0.337,0.327,0.293,0.247,0.203,0.166,0.137,0.114,0.1,0.099,0.114,0.143,0.179,0.212,0.235,0.246,0.246,0.24,0.233,0.228,0.226,0.225,0.22,0.209,0.192,0.169,0.143,0.116,0.095,0.086,0.097,0.128,0.176,0.232,0.283,0.321,0.339,0.341,0.338,0.344,0.368,0.404,0.437,0.451,0.444,0.428,0.421,0.43,0.448,0.463,0.469,0.469,0.467,0.458,0.434,0.397,0.354,0.318,0.29,0.262,0.227,0.184,0.143,0.113,0.099,0.099,0.109,0.121,0.131,0.133,0.129,0.12,0.11,0.106,0.11,0.123,0.144,0.166,0.186,0.198,0.203,0.203,0.201,0.201,0.202,0.204,0.203,0.197,0.188,0.179,0.176,0.179,0.184,0.185,0.176,0.155,0.126,0.095,0.069,0.049,0.036,0.027,0.021,0.016,0.013,0.012,0.011,0.011,0.011,0.011,0.01,0.01,0.011,0.014,0.023,0.038,0.063,0.098,0.141,0.183,0.216,0.234,0.239,0.236,0.23,0.223,0.216,0.208,0.2,0.193,0.186,0.179,0.169,0.154,0.136,0.12,0.119,0.139,0.18,0.228,0.265,0.283,0.284,0.283,0.291,0.315,0.351,0.394,0.432,0.459,0.47,0.468,0.453,0.423,0.374,0.312,0.253,0.218,0.218,0.249,0.294,0.332,0.356,0.368,0.374,0.379,0.383,0.382,0.375,0.36,0.337,0.312,0.291,0.281,0.283,0.29,0.295,0.289,0.276,0.26,0.248,0.24,0.232,0.224,0.215,0.209,0.205,0.2,0.193,0.183,0.166,0.145,0.121,0.099,0.079,0.063,0.052,0.047,0.055,0.081,0.126,0.184,0.243,0.29,0.315,0.32,0.312,0.302,0.298,0.302,0.313,0.323,0.33,0.333,0.335,0.34,0.347,0.358,0.369,0.377,0.379,0.377,0.372,0.367,0.36,0.351,0.34,0.326,0.31,0.295,0.28,0.267,0.257,0.25,0.248,0.252,0.258,0.261,0.254,0.232,0.199,0.162,0.131,0.115,0.12,0.15,0.2,0.261,0.319,0.365,0.399,0.423,0.447,0.475,0.506,0.528,0.532,0.517,0.491,0.467,0.453,0.447,0.443,0.434,0.425,0.425,0.433,0.438,0.422,0.381,0.323,0.262,0.205,0.153,0.108,0.074,0.055,0.045,0.041,0.039,0.037,0.036,0.038,0.04,0.042,0.047,0.06,0.086,0.127,0.176,0.227,0.273,0.31,0.333,0.342,0.342,0.341,0.346,0.352,0.352,0.342,0.319,0.289,0.256,0.224,0.193,0.165,0.142,0.134,0.151,0.198,0.267,0.339,0.395,0.427,0.441,0.451,0.468,0.503,0.556,0.62,0.68,0.726,0.747,0.74,0.707,0.645,0.56,0.462,0.376,0.323,0.314,0.344,0.396,0.459,0.521,0.579,0.623,0.647,0.652,0.647,0.646,0.658,0.677,0.693,0.698,0.698,0.708,0.728,0.743,0.729,0.681,0.62,0.58,0.579,0.615,0.665,0.705,0.714,0.685,0.619,0.53,0.431,0.332,0.244,0.173,0.126,0.1,0.085,0.078,0.078,0.091,0.124,0.171,0.221,0.261,0.285,0.297,0.303,0.31,0.319,0.329,0.341,0.354,0.367,0.38,0.39,0.396,0.393,0.385,0.376,0.369,0.367,0.369,0.372,0.374,0.375,0.375,0.375,0.373,0.371,0.367,0.357,0.339,0.316,0.295,0.286,0.294,0.314,0.333,0.338,0.321,0.28,0.224,0.17,0.131,0.118,0.129,0.16,0.2,0.244,0.281,0.308,0.319,0.316,0.303,0.285,0.266,0.248,0.234,0.228,0.232,0.245,0.259,0.267,0.268,0.263,0.256,0.249,0.242,0.234,0.224,0.208,0.186,0.16,0.133,0.106,0.083,0.065,0.052,0.042,0.034,0.028,0.025,0.022,0.02,0.018,0.016,0.014,0.013,0.012,0.013,0.017,0.026,0.041,0.061,0.084,0.107,0.128,0.145,0.158,0.167,0.172,0.176,0.179,0.185,0.194,0.203,0.21,0.209,0.194,0.169,0.137,0.107,0.086,0.083,0.1,0.137,0.181,0.222,0.25,0.265,0.27,0.27,0.267,0.262,0.257,0.253,0.252,0.255,0.259,0.257,0.241,0.21,0.174,0.15,0.154,0.184,0.229,0.267,0.284,0.274,0.242,0.2,0.162,0.142,0.143,0.164,0.193,0.22,0.233,0.226,0.201,0.172,0.152,0.155,0.178,0.21,0.237,0.245,0.233,0.202,0.164,0.13,0.11,0.107,0.119,0.136,0.152,0.164,0.172,0.181,0.191,0.205,0.22,0.231,0.237,0.239,0.241,0.245,0.251,0.258,0.264,0.267,0.266,0.262,0.262,0.268,0.276,0.282,0.286,0.292,0.302,0.313,0.318,0.313,0.298,0.278,0.257,0.245,0.244,0.252,0.262,0.267,0.263,0.253,0.241,0.23,0.221,0.214,0.209,0.204,0.197,0.187,0.175,0.168,0.167,0.173,0.184,0.195,0.202,0.205,0.204,0.2,0.196,0.194,0.196,0.204,0.214,0.222,0.224,0.217,0.203,0.185,0.168,0.15,0.133,0.115,0.097,0.08,0.067,0.058,0.052,0.048,0.046,0.044,0.042,0.039,0.036,0.033,0.029,0.025,0.021,0.018,0.02,0.028,0.045,0.07,0.102,0.137,0.173,0.204,0.228,0.248,0.27,0.298,0.327,0.346,0.349,0.342,0.337,0.339,0.343,0.335,0.307,0.264,0.217,0.178,0.155,0.152,0.167,0.191,0.211,0.213,0.195,0.162,0.129,0.106,0.1,0.111,0.134,0.164,0.194,0.221,0.243,0.26,0.275,0.291,0.308,0.319,0.319,0.306,0.288,0.273,0.267,0.271,0.279,0.287,0.292,0.295,0.299,0.307,0.316,0.325,0.332,0.336,0.338,0.336,0.326,0.312,0.294,0.275,0.253,0.226,0.192,0.157,0.123,0.095,0.074,0.057,0.046,0.037,0.031,0.028,0.026,0.03,0.04,0.061,0.094,0.14,0.198,0.259,0.314,0.356,0.385,0.409,0.43,0.447,0.455,0.453,0.443,0.426,0.399,0.357,0.302,0.248,0.205,0.183,0.185,0.206,0.235,0.259,0.267,0.256,0.229,0.195,0.168,0.156,0.167,0.198,0.239,0.277,0.304,0.315,0.312,0.304,0.304,0.319,0.35,0.386,0.415,0.43,0.43,0.419,0.405,0.394,0.393,0.405,0.423,0.436,0.44,0.434,0.426,0.417,0.408,0.397,0.386,0.371,0.348,0.31,0.26,0.207,0.161,0.125,0.098,0.076,0.058,0.043,0.033,0.026,0.022,0.019,0.017,0.016,0.019,0.03,0.053,0.092,0.143,0.197,0.242,0.273,0.29,0.299,0.303,0.303,0.303,0.306,0.314,0.325,0.33,0.323,0.302,0.27,0.237,0.213,0.21,0.231,0.267,0.299,0.311,0.295,0.256,0.21,0.17,0.148,0.148,0.169,0.207,0.251,0.292,0.318,0.321,0.296,0.248,0.196,0.161,0.158,0.186,0.232,0.279,0.317,0.342,0.357,0.367,0.373,0.373,0.371,0.374,0.387,0.406,0.419,0.415,0.384,0.331,0.267,0.208,0.172,0.164,0.183,0.217,0.255,0.288,0.313,0.325,0.319,0.298,0.27,0.249,0.247,0.262,0.283,0.295,0.287,0.258,0.215,0.168,0.134,0.125,0.148,0.2,0.268,0.336,0.39,0.426,0.445,0.447,0.438,0.423,0.412,0.408,0.414,0.428,0.446,0.46,0.465,0.459,0.442,0.423,0.412,0.413,0.42,0.421,0.413,0.401,0.397,0.405,0.418,0.427,0.423,0.405,0.375,0.338,0.302,0.27,0.245,0.221,0.192,0.156,0.12,0.094,0.088,0.102,0.131,0.163,0.192,0.219,0.248,0.281,0.312,0.338,0.358,0.376,0.398,0.423,0.447,0.464,0.467,0.452,0.417,0.368,0.31,0.254,0.205,0.164,0.13,0.101,0.076,0.055,0.041,0.032,0.028,0.026,0.025,0.026,0.027,0.029,0.03,0.032,0.034,0.036,0.039,0.043,0.051,0.069,0.104,0.161,0.239,0.328,0.412,0.475,0.509,0.525,0.536,0.55,0.56,0.558,0.54,0.517,0.5,0.494,0.492,0.487,0.483,0.491,0.518,0.561,0.6,0.624,0.63,0.622,0.602,0.567,0.51,0.432,0.347,0.276,0.24,0.247,0.291,0.355,0.42,0.471,0.5,0.505,0.491,0.463,0.429,0.392,0.359,0.338,0.331,0.337,0.348,0.354,0.357,0.358,0.362,0.366,0.371,0.369,0.364,0.357,0.354,0.351,0.341,0.314,0.27,0.218,0.176,0.157,0.163,0.186,0.216,0.243,0.264,0.279,0.289,0.293,0.294,0.293,0.295,0.302,0.314,0.323,0.319,0.295,0.254,0.206,0.162,0.131,0.115,0.116,0.133,0.16,0.185,0.204,0.217,0.233,0.256,0.282,0.304,0.319,0.333,0.352,0.376,0.398,0.409,0.405,0.39,0.366,0.337,0.305,0.273,0.252,0.247,0.259,0.281,0.302,0.315,0.321,0.324,0.328,0.336,0.347,0.356,0.357,0.344,0.315,0.271,0.22,0.171,0.133,0.113,0.116,0.145,0.195,0.252,0.3,0.327,0.334,0.325,0.309,0.292,0.279,0.272,0.272,0.278,0.287,0.293,0.294,0.286,0.274,0.259,0.246,0.232,0.214,0.187,0.155,0.122,0.094,0.071,0.054,0.041,0.032,0.026,0.024,0.024,0.026,0.029,0.032,0.034,0.034,0.036,0.045,0.075,0.134,0.226,0.335,0.44,0.516,0.554,0.559,0.54,0.503,0.452,0.395,0.35,0.334,0.353,0.397,0.451,0.502,0.548,0.594,0.636,0.661,0.657,0.62,0.564,0.509,0.468,0.44,0.419,0.401,0.385,0.37,0.354,0.342,0.342,0.358,0.382,0.395,0.384,0.345,0.293,0.244,0.209,0.198,0.218,0.27,0.345,0.423,0.484,0.521,0.543,0.556,0.563,0.556,0.531,0.492,0.448,0.407,0.365,0.32,0.271,0.226,0.197,0.191,0.215,0.275,0.365,0.468,0.558,0.62,0.65,0.651,0.624,0.567,0.485,0.391,0.304,0.236,0.188,0.154,0.127,0.102,0.08,0.061,0.051,0.056,0.081,0.126,0.188,0.263,0.352,0.445,0.516,0.534,0.491,0.419,0.37,0.387,0.475,0.603,0.725,0.796,0.793,0.717,0.595,0.469,0.381,0.351,0.374,0.428,0.489,0.543,0.589,0.63,0.657,0.658,0.619,0.545,0.457,0.383,0.337,0.319,0.315,0.314,0.311,0.309,0.318,0.347,0.394,0.447,0.491,0.516,0.524,0.521,0.514,0.505,0.494,0.483,0.468,0.449,0.437,0.442,0.466,0.489,0.486,0.445,0.376,0.303,0.251,0.23,0.242,0.279,0.328,0.376,0.411,0.424,0.412,0.382,0.341,0.299,0.261,0.222,0.181,0.137,0.096,0.063,0.042,0.029,0.023,0.021,0.022,0.031,0.054,0.095,0.153,0.218,0.282,0.342,0.396,0.441,0.468,0.474,0.468,0.465,0.476,0.503,0.534,0.55,0.534,0.478,0.395,0.317,0.277,0.296,0.369,0.466,0.551,0.604,0.628,0.64,0.648,0.649,0.629,0.58,0.509,0.436,0.389,0.38,0.404,0.439,0.465,0.465,0.435,0.379,0.313,0.258,0.231,0.239,0.273,0.319,0.357,0.378,0.382,0.378,0.376,0.38,0.388,0.393,0.39,0.379,0.367,0.36,0.359,0.367,0.378,0.386,0.39,0.387,0.383,0.38,0.38,0.377,0.37,0.355,0.336,0.318,0.309,0.315,0.335,0.362,0.387,0.402,0.403,0.389,0.357,0.307,0.245,0.186,0.146,0.13,0.14,0.17,0.212,0.254,0.286,0.305,0.315,0.322,0.33,0.34,0.348,0.352,0.353,0.352,0.349,0.346,0.345,0.347,0.352,0.355,0.354,0.35,0.344,0.338,0.33,0.322,0.315,0.312,0.316,0.323,0.331,0.333,0.33,0.323,0.314,0.308,0.305,0.305,0.305,0.303,0.297,0.29,0.282,0.274,0.265,0.256,0.246,0.237,0.226,0.211,0.191,0.168,0.144,0.12,0.097,0.076,0.06,0.049,0.041,0.036,0.033,0.029,0.027,0.025,0.023,0.021,0.019,0.017,0.015,0.014,0.012,0.01,0.009,0.007,0.006,0.005,0.005,0.007,0.01,0.015,0.023,0.033,0.047,0.065,0.09,0.121,0.153,0.181,0.198,0.207,0.21,0.213,0.22,0.23,0.241,0.248,0.247,0.24,0.227,0.213,0.198,0.182,0.168,0.157,0.154,0.161,0.176,0.192,0.202,0.207,0.21,0.216,0.231,0.251,0.271,0.282,0.278,0.26,0.238,0.225,0.228,0.242,0.258,0.267,0.267,0.26,0.251,0.245,0.241,0.241,0.241,0.242,0.242,0.241,0.241,0.246,0.259,0.281,0.31,0.336,0.348,0.339,0.31,0.271,0.229,0.195,0.173,0.17,0.185,0.212,0.24,0.262,0.28,0.295,0.306,0.309,0.304,0.292,0.277,0.261,0.245,0.232,0.221,0.209,0.191,0.166,0.139,0.12,0.117,0.136,0.171,0.214,0.251,0.277,0.294,0.312,0.337,0.369,0.4,0.423,0.435,0.435,0.425,0.409,0.394,0.383,0.383,0.391,0.401,0.405,0.399,0.391,0.387,0.394,0.411,0.428,0.432,0.416,0.388,0.361,0.347,0.348,0.351,0.345,0.33,0.311,0.298,0.297,0.305,0.319,0.331,0.336,0.33,0.314,0.291,0.271,0.262,0.264,0.272,0.282,0.289,0.295,0.303,0.315,0.33,0.347,0.366,0.386,0.405,0.42,0.427,0.422,0.406,0.384,0.365,0.356,0.356,0.357,0.349,0.329,0.294,0.248,0.195,0.147,0.109,0.083,0.068,0.058,0.051,0.045,0.04,0.036,0.033,0.032,0.03,0.029,0.03,0.036,0.053,0.086,0.133,0.186,0.236,0.276,0.301,0.316,0.324,0.328,0.327,0.318,0.297,0.267,0.236,0.21,0.192,0.177,0.158,0.134,0.113,0.103,0.117,0.155,0.209,0.266,0.316,0.353,0.376,0.384,0.381,0.371,0.358,0.337,0.304,0.259,0.211,0.177,0.167,0.183,0.216,0.249,0.268,0.271,0.263,0.252,0.245,0.241,0.241,0.246,0.258,0.28,0.309,0.339,0.361,0.368,0.365,0.355,0.338,0.311,0.271,0.225,0.18,0.144,0.122,0.115,0.124,0.147,0.178,0.211,0.237,0.256,0.266,0.27,0.272,0.276,0.282,0.288,0.288,0.274,0.247,0.21,0.17,0.135,0.112,0.11,0.134,0.179,0.234,0.285,0.322,0.345,0.362,0.38,0.403,0.428,0.451,0.471,0.484,0.492,0.492,0.491,0.498,0.521,0.554,0.586,0.604,0.609,0.609,0.611,0.612,0.599,0.565,0.514,0.453,0.387,0.317,0.248,0.188,0.148,0.131,0.132,0.14,0.149,0.154,0.154,0.15,0.145,0.14,0.138,0.142,0.15,0.159,0.167,0.173,0.178,0.184,0.189,0.194,0.196,0.196,0.194,0.19,0.183,0.177,0.172,0.168,0.163,0.155,0.142,0.126,0.107,0.087,0.069,0.053,0.043,0.036,0.03,0.024,0.019,0.015,0.014,0.014,0.014,0.014,0.013,0.011,0.01,0.01,0.013,0.018,0.029,0.051,0.088,0.139,0.194,0.243,0.278,0.298,0.305,0.305,0.3,0.295,0.29,0.286,0.281,0.277,0.27,0.259,0.24,0.213,0.181,0.149,0.127,0.121,0.137,0.169,0.207,0.238,0.259,0.274,0.289,0.308,0.33,0.353,0.373,0.385,0.386,0.381,0.373,0.364,0.345,0.309,0.261,0.218,0.203,0.227,0.278,0.333,0.368,0.375,0.362,0.344,0.331,0.327,0.331,0.341,0.35,0.357,0.362,0.364,0.366,0.364,0.358,0.346,0.33,0.31,0.289,0.269,0.252,0.242,0.239,0.245,0.252,0.254,0.244,0.221,0.189,0.156,0.129,0.109,0.095,0.084,0.071,0.06,0.055,0.065,0.101,0.164,0.244,0.32,0.373,0.399,0.406,0.402,0.396,0.391,0.386,0.38,0.369,0.353,0.335,0.323,0.32,0.323,0.322,0.315,0.302,0.291,0.288,0.293,0.303,0.315,0.33,0.345,0.358,0.364,0.361,0.351,0.337,0.324,0.314,0.308,0.306,0.303,0.296,0.279,0.251,0.213,0.171,0.134,0.112,0.111,0.136,0.182,0.242,0.304,0.355,0.389,0.403,0.4,0.383,0.36,0.343,0.339,0.349,0.369,0.393,0.415,0.434,0.453,0.467,0.466,0.443,0.399,0.346,0.296,0.251,0.208,0.164,0.122,0.088,0.065,0.052,0.046,0.045,0.044,0.043,0.039,0.033,0.026,0.019,0.014,0.012,0.014,0.023,0.041,0.07,0.112,0.162,0.215,0.261,0.291,0.304,0.306,0.306,0.313,0.328,0.346,0.358,0.357,0.339,0.307,0.265,0.218,0.175,0.141,0.13,0.151,0.212,0.305,0.407,0.493,0.547,0.571,0.576,0.569,0.559,0.554,0.564,0.601,0.662,0.732,0.79,0.817,0.799,0.733,0.624,0.499,0.39,0.325,0.308,0.326,0.359,0.393,0.421,0.439,0.448,0.448,0.44,0.426,0.41,0.396,0.385,0.377,0.374,0.381,0.405,0.454,0.528,0.61,0.67,0.681,0.645,0.594,0.562,0.559,0.567,0.566,0.552,0.542,0.549,0.57,0.594,0.604,0.589,0.539,0.456,0.35,0.246,0.163,0.109,0.078,0.062,0.062,0.083,0.131,0.202,0.279,0.341,0.374,0.382,0.378,0.374,0.376,0.377,0.373,0.362,0.35,0.342,0.344,0.353,0.365,0.376,0.386,0.393,0.398,0.399,0.396,0.389,0.381,0.373,0.366,0.356,0.345,0.336,0.336,0.342,0.35,0.357,0.36,0.359,0.352,0.337,0.315,0.296,0.286,0.29,0.304,0.32,0.331,0.327,0.304,0.261,0.207,0.156,0.122,0.107,0.11,0.125,0.147,0.176,0.209,0.241,0.265,0.277,0.281,0.281,0.286,0.301,0.328,0.365,0.404,0.435,0.451,0.445,0.417,0.379,0.347,0.333,0.335,0.342,0.343,0.336,0.327,0.324,0.326,0.326,0.322,0.318,0.319,0.322,0.322,0.313,0.3,0.29,0.284,0.282,0.284,0.294,0.31,0.323,0.322,0.303,0.273,0.245,0.229,0.224,0.222,0.217,0.204,0.186,0.161,0.133,0.105,0.083,0.069,0.06,0.053,0.046,0.039,0.036,0.038,0.043,0.05,0.056,0.061,0.064,0.064,0.061,0.056,0.049,0.042,0.036,0.032,0.031]