[0.007,0.009,0.012,0.016,0.019,0.024,0.034,0.055,0.09,0.137,0.186,0.225,0.246,0.249,0.242,0.234,0.23,0.229,0.229,0.224,0.211,0.19,0.164,0.14,0.121,0.109,0.108,0.119,0.143,0.175,0.203,0.218,0.216,0.204,0.194,0.196,0.208,0.219,0.221,0.212,0.197,0.185,0.179,0.18,0.183,0.185,0.184,0.181,0.182,0.189,0.204,0.221,0.234,0.242,0.242,0.239,0.232,0.22,0.202,0.178,0.154,0.136,0.128,0.133,0.148,0.17,0.191,0.206,0.213,0.215,0.215,0.216,0.216,0.215,0.214,0.214,0.213,0.214,0.22,0.233,0.247,0.254,0.249,0.239,0.234,0.241,0.257,0.275,0.288,0.293,0.292,0.284,0.271,0.253,0.235,0.223,0.215,0.211,0.209,0.208,0.212,0.221,0.232,0.24,0.242,0.236,0.222,0.206,0.193,0.189,0.193,0.201,0.206,0.206,0.204,0.203,0.202,0.203,0.2,0.194,0.189,0.19,0.199,0.215,0.234,0.248,0.252,0.246,0.237,0.234,0.242,0.256,0.266,0.268,0.265,0.263,0.267,0.272,0.273,0.268,0.261,0.255,0.253,0.254,0.251,0.24,0.222,0.206,0.196,0.193,0.194,0.199,0.211,0.228,0.246,0.262,0.275,0.283,0.283,0.278,0.269,0.264,0.265,0.274,0.287,0.295,0.291,0.274,0.253,0.241,0.241,0.25,0.261,0.27,0.275,0.275,0.267,0.252,0.234,0.223,0.224,0.234,0.247,0.251,0.246,0.233,0.22,0.211,0.213,0.227,0.25,0.273,0.288,0.292,0.29,0.285,0.281,0.275,0.271,0.27,0.275,0.28,0.28,0.272,0.264,0.264,0.275,0.292,0.304,0.303,0.285,0.256,0.225,0.206,0.206,0.225,0.253,0.276,0.281,0.268,0.242,0.215,0.198,0.199,0.213,0.235,0.256,0.275,0.291,0.303,0.307,0.3,0.287,0.276,0.276,0.283,0.288,0.284,0.271,0.257,0.253,0.261,0.276,0.29,0.298,0.298,0.289,0.272,0.253,0.237,0.231,0.233,0.234,0.227,0.212,0.199,0.195,0.204,0.221,0.242,0.263,0.282,0.295,0.3,0.3,0.295,0.291,0.29,0.295,0.303,0.312,0.318,0.32,0.318,0.315,0.312,0.309,0.305,0.301,0.295,0.286,0.274,0.259,0.245,0.238,0.241,0.25,0.257,0.257,0.252,0.249,0.249,0.25,0.251,0.25,0.248,0.243,0.236,0.232,0.237,0.252,0.27,0.286,0.295,0.294,0.288,0.281,0.278,0.28,0.284,0.287,0.286,0.28,0.272,0.26,0.248,0.241,0.243,0.256,0.275,0.293,0.304,0.307,0.3,0.288,0.274,0.266,0.271,0.289,0.313,0.333,0.345,0.349,0.349,0.346,0.34,0.33,0.317,0.306,0.298,0.296,0.296,0.289,0.271,0.242,0.211,0.188,0.179,0.183,0.194,0.208,0.221,0.236,0.253,0.27,0.28,0.279,0.267,0.251,0.239,0.238,0.25,0.271,0.298,0.321,0.334,0.337,0.332,0.327,0.323,0.321,0.318,0.313,0.305,0.298,0.293,0.291,0.291,0.289,0.285,0.274,0.255,0.228,0.2,0.179,0.176,0.192,0.223,0.258,0.286,0.298,0.293,0.273,0.247,0.229,0.226,0.242,0.268,0.294,0.314,0.326,0.334,0.338,0.337,0.33,0.321,0.316,0.317,0.325,0.331,0.334,0.333,0.335,0.344,0.362,0.384,0.4,0.401,0.386,0.361,0.338,0.326,0.324,0.329,0.334,0.333,0.327,0.324,0.336,0.367,0.42,0.493,0.583,0.676,0.755,0.805,0.824,0.821,0.802,0.771,0.717,0.632,0.516,0.391,0.289,0.232,0.218,0.228,0.241,0.245,0.236,0.219,0.202,0.195,0.205,0.229,0.256,0.275,0.278,0.268,0.253,0.242,0.241,0.25,0.272,0.316,0.386,0.474,0.558,0.619,0.652,0.668,0.67,0.655,0.613,0.543,0.456,0.372,0.308,0.272,0.256,0.248,0.243,0.24,0.241,0.247,0.252,0.252,0.245,0.235,0.228,0.225,0.226,0.227,0.223,0.219,0.219,0.229,0.25,0.288,0.352,0.446,0.555,0.654,0.725,0.763,0.781,0.784,0.769,0.724,0.645,0.536,0.422,0.326,0.264,0.233,0.223,0.225,0.23,0.232,0.228,0.219,0.207,0.198,0.189,0.18,0.174,0.177,0.189,0.204,0.216,0.22,0.216,0.206,0.195,0.187,0.189,0.199,0.214,0.228,0.24,0.249,0.252,0.249,0.237,0.217,0.193,0.174,0.167,0.175,0.192,0.211,0.222,0.225,0.223,0.224,0.231,0.243,0.253,0.258,0.256,0.254,0.253,0.255,0.255,0.254,0.251,0.247,0.238,0.225,0.209,0.199,0.201,0.217,0.24,0.265,0.284,0.295,0.294,0.282,0.26,0.231,0.204,0.187,0.189,0.209,0.241,0.274,0.3,0.315,0.317,0.307,0.287,0.261,0.232,0.204,0.182,0.169,0.167,0.175,0.196,0.235,0.29,0.354,0.415,0.458,0.472,0.456,0.42,0.384,0.364,0.363,0.379,0.403,0.425,0.439,0.442,0.438,0.433,0.431,0.432,0.429,0.421,0.412,0.412,0.428,0.458,0.486,0.496,0.489,0.472,0.455,0.442,0.43,0.418,0.409,0.41,0.424,0.449,0.475,0.486,0.474,0.444,0.414,0.398,0.397,0.406,0.418,0.431,0.44,0.442,0.438,0.436,0.445,0.462,0.477,0.48,0.47,0.459,0.464,0.485,0.513,0.53,0.529,0.515,0.498,0.479,0.459,0.437,0.424,0.424,0.44,0.467,0.497,0.52,0.525,0.511,0.487,0.469,0.463,0.47,0.481,0.491,0.492,0.48,0.461,0.441,0.434,0.443,0.461,0.475,0.476,0.468,0.46,0.463,0.478,0.495,0.502,0.496,0.484,0.478,0.473,0.466,0.453,0.439,0.433,0.439,0.46,0.486,0.506,0.509,0.493,0.468,0.445,0.43,0.428,0.437,0.451,0.462,0.463,0.457,0.454,0.458,0.469,0.478,0.477,0.466,0.454,0.454,0.468,0.488,0.5,0.498,0.488,0.48,0.473,0.462,0.443,0.421,0.405,0.404,0.421,0.452,0.485,0.501,0.493,0.466,0.436,0.418,0.418,0.435,0.46,0.482,0.491,0.487,0.477,0.471,0.474,0.481,0.482,0.476,0.467,0.463,0.47,0.483,0.492,0.488,0.473,0.456,0.448,0.444,0.438,0.424,0.408,0.399,0.406,0.428,0.457,0.478,0.474,0.446,0.408,0.38,0.374,0.39,0.415,0.434,0.436,0.424,0.405,0.397,0.406,0.429,0.45,0.456,0.445,0.431,0.431,0.45,0.478,0.494,0.489,0.469,0.446,0.425,0.406,0.388,0.374,0.367,0.371,0.394,0.441,0.513,0.594,0.661,0.689,0.668,0.602,0.505,0.404,0.322,0.27,0.246,0.237,0.235,0.233,0.233,0.233,0.234,0.235,0.236,0.237,0.237,0.237,0.237,0.238,0.24,0.246,0.254,0.262,0.269,0.272,0.272,0.27,0.268,0.265,0.263,0.259,0.252,0.244,0.237,0.231,0.23,0.232,0.237,0.241,0.243,0.243,0.244,0.247,0.249,0.25,0.251,0.256,0.266,0.276,0.284,0.287,0.287,0.286,0.285,0.288,0.295,0.303,0.309,0.313,0.314,0.31,0.308,0.32,0.364,0.45,0.561,0.665,0.732,0.761,0.767,0.769,0.767,0.748,0.696,0.608,0.502,0.401,0.326,0.285,0.272,0.273,0.281,0.292,0.306,0.321,0.331,0.334,0.331,0.332,0.342,0.357,0.367,0.359,0.336,0.308,0.293,0.302,0.341,0.41,0.501,0.591,0.665,0.714,0.74,0.746,0.736,0.703,0.647,0.568,0.474,0.385,0.318,0.281,0.269,0.272,0.279,0.286,0.289,0.292,0.294,0.296,0.295,0.3,0.318,0.347,0.375,0.386,0.375,0.349,0.323,0.312,0.33,0.381,0.46,0.547,0.621,0.666,0.68,0.671,0.651,0.628,0.6,0.558,0.495,0.417,0.34,0.28,0.246,0.236,0.241,0.25,0.259,0.268,0.281,0.296,0.308,0.319,0.334,0.354,0.373,0.378,0.365,0.34,0.317,0.303,0.303,0.324,0.376,0.461,0.564,0.66,0.726,0.756,0.755,0.737,0.705,0.655,0.582,0.492,0.403,0.335,0.298,0.29,0.306,0.33,0.351,0.357,0.348,0.331,0.315,0.307,0.31,0.323,0.343,0.363,0.369,0.358,0.331,0.3,0.279,0.285,0.334,0.426,0.541,0.644,0.71,0.736,0.735,0.724,0.711,0.685,0.634,0.551,0.446,0.342,0.266,0.228,0.223,0.23,0.232,0.222,0.207,0.202,0.213,0.241,0.28,0.324,0.366,0.397,0.406,0.392,0.368,0.351,0.35,0.362,0.388,0.426,0.479,0.534,0.581,0.612,0.632,0.638,0.631,0.609,0.573,0.52,0.455,0.389,0.336,0.305,0.29,0.284,0.28,0.283,0.293,0.309,0.321,0.326,0.327,0.326,0.329,0.337,0.348,0.35,0.343,0.332,0.328,0.336,0.361,0.402,0.463,0.538,0.612,0.665,0.69,0.694,0.69,0.688,0.676,0.639,0.565,0.468,0.375,0.312,0.285,0.284,0.293,0.303,0.311,0.315,0.316,0.318,0.328,0.344,0.359,0.367,0.367,0.358,0.341,0.32,0.305,0.31,0.339,0.39,0.456,0.532,0.603,0.66,0.695,0.712,0.717,0.715,0.701,0.666,0.601,0.514,0.421,0.348,0.31,0.302,0.311,0.325,0.339,0.352,0.361,0.363,0.356,0.348,0.344,0.356,0.381,0.409,0.426,0.423,0.405,0.386,0.377,0.388,0.427,0.497,0.587,0.675,0.739,0.771,0.779,0.775,0.762,0.735,0.687,0.614,0.523,0.432,0.36,0.314,0.293,0.285,0.282,0.281,0.278,0.273,0.265,0.254,0.24,0.231,0.229,0.231,0.228,0.214,0.196,0.187,0.196,0.225,0.277,0.35,0.439,0.523,0.586,0.624,0.648,0.663,0.664,0.644,0.601,0.541,0.473,0.407,0.35,0.311,0.29,0.281,0.277,0.271,0.258,0.24,0.221,0.21,0.214,0.23,0.249,0.264,0.269,0.266,0.26,0.257,0.259,0.271,0.297,0.347,0.423,0.514,0.597,0.65,0.668,0.662,0.646,0.624,0.593,0.544,0.479,0.406,0.342,0.298,0.271,0.255,0.242,0.233,0.23,0.234,0.241,0.248,0.254,0.26,0.266,0.27,0.265,0.253,0.241,0.24,0.253,0.275,0.299,0.329,0.376,0.445,0.523,0.589,0.63,0.648,0.651,0.65,0.642,0.618,0.568,0.493,0.408,0.334,0.287,0.266,0.262,0.266,0.269,0.266,0.252,0.229,0.202,0.181,0.176,0.19,0.216,0.239,0.246,0.235,0.216,0.206,0.212,0.225,0.237,0.243,0.247,0.253,0.261,0.266,0.268,0.267,0.264,0.261,0.256,0.25,0.245,0.245,0.252,0.264,0.279,0.288,0.29,0.288,0.291,0.306,0.331,0.354,0.365,0.359,0.339,0.314,0.291,0.278,0.276,0.284,0.298,0.313,0.324,0.326,0.32,0.311,0.303,0.301,0.304,0.311,0.317,0.321,0.32,0.316,0.309,0.304,0.301,0.3,0.296,0.287,0.27,0.248,0.226,0.205,0.188,0.175,0.167,0.164,0.166,0.174,0.187,0.202,0.217,0.232,0.249,0.266,0.274,0.27,0.261,0.261,0.277,0.302,0.325,0.337,0.339,0.338,0.338,0.339,0.341,0.341,0.34,0.339,0.34,0.342,0.341,0.335,0.321,0.306,0.294,0.29,0.292,0.298,0.305,0.31,0.312,0.308,0.299,0.29,0.282,0.277,0.274,0.271,0.271,0.274,0.278,0.283,0.288,0.295,0.304,0.313,0.32,0.324,0.328,0.334,0.343,0.351,0.358,0.36,0.36,0.357,0.349,0.336,0.321,0.305,0.293,0.286,0.283,0.282,0.284,0.287,0.29,0.291,0.288,0.282,0.272,0.256,0.235,0.21,0.187,0.175,0.181,0.203,0.233,0.258,0.272,0.274,0.272,0.27,0.272,0.274,0.274,0.274,0.277,0.285,0.293,0.299,0.298,0.291,0.283,0.275,0.271,0.272,0.277,0.28,0.274,0.259,0.24,0.229,0.236,0.262,0.303,0.358,0.421,0.483,0.528,0.546,0.543,0.534,0.53,0.536,0.545,0.552,0.547,0.531,0.51,0.498,0.499,0.509,0.516,0.513,0.502,0.492,0.495,0.509,0.526,0.529,0.519,0.501,0.489,0.481,0.473,0.461,0.448,0.442,0.449,0.47,0.499,0.525,0.531,0.514,0.48,0.449,0.432,0.432,0.445,0.461,0.473,0.473,0.464,0.454,0.451,0.458,0.467,0.469,0.462,0.452,0.451,0.463,0.486,0.507,0.513,0.506,0.493,0.483,0.473,0.46,0.442,0.427,0.424,0.437,0.469,0.511,0.548,0.565,0.559,0.536,0.514,0.501,0.501,0.506,0.51,0.506,0.493,0.479,0.473,0.476,0.483,0.486,0.481,0.473,0.471,0.485,0.514,0.549,0.569,0.569,0.552,0.532,0.515,0.503,0.492,0.483,0.478,0.481,0.492,0.508,0.523,0.527,0.518,0.498,0.479,0.468,0.47,0.481,0.495,0.501,0.498,0.487,0.477,0.479,0.491,0.504,0.506,0.494,0.473,0.461,0.468,0.491,0.515,0.526,0.522,0.513,0.508,0.506,0.501,0.493,0.489,0.496,0.514,0.539,0.562,0.574,0.572,0.557,0.541,0.53,0.527,0.533,0.544,0.555,0.559,0.551,0.533,0.517,0.512,0.519,0.531,0.536,0.533,0.529,0.537,0.558,0.585,0.603,0.608,0.599,0.585,0.57,0.553,0.535,0.52,0.513,0.516,0.531,0.553,0.576,0.589,0.585,0.568,0.55,0.541,0.544,0.555,0.569,0.578,0.575,0.563,0.548,0.541,0.542,0.548,0.55,0.543,0.533,0.529,0.536,0.552,0.569,0.578,0.58,0.577,0.576,0.569,0.557,0.538,0.521,0.515,0.524,0.546,0.574,0.596,0.602,0.596,0.582,0.572,0.568,0.573,0.582,0.59,0.591,0.584,0.573,0.568,0.573,0.586,0.598,0.601,0.597,0.59,0.592,0.603,0.62,0.631,0.633,0.628,0.621,0.612,0.599,0.586,0.575,0.571,0.571,0.576,0.582,0.587,0.586,0.578,0.566,0.56,0.564,0.577,0.591,0.601,0.601,0.59,0.576,0.566,0.568,0.578,0.587,0.586,0.576,0.564,0.56,0.568,0.584,0.6,0.608,0.608,0.601,0.593,0.581,0.564,0.546,0.532,0.528,0.534,0.551,0.575,0.597,0.606,0.598,0.577,0.554,0.537,0.532,0.535,0.542,0.545,0.545,0.543,0.544,0.55,0.558,0.562,0.558,0.549,0.541,0.542,0.552,0.567,0.573,0.567,0.553,0.542,0.538,0.535,0.529,0.521,0.517,0.523,0.543,0.571,0.596,0.607,0.6,0.58,0.556,0.532,0.513,0.504,0.507,0.518,0.528,0.531,0.531,0.538,0.553,0.571,0.578,0.569,0.552,0.539,0.542,0.556,0.568,0.565,0.551,0.536,0.53,0.53,0.532,0.531,0.53,0.532,0.538,0.552,0.573,0.597,0.613,0.619,0.614,0.608,0.605,0.608,0.613,0.617,0.616,0.609,0.602,0.598,0.602,0.607,0.609,0.603,0.592,0.583,0.585,0.597,0.61,0.614,0.609,0.601,0.6,0.603,0.604,0.599,0.589,0.581,0.582,0.592,0.609,0.623,0.623,0.609,0.587,0.571,0.566,0.572,0.583,0.595,0.604,0.609,0.611,0.611,0.614,0.617,0.617,0.609,0.593,0.575,0.567,0.574,0.593,0.615,0.627,0.629,0.624,0.619,0.612,0.602,0.587,0.573,0.565,0.563,0.567,0.564,0.543,0.491,0.412,0.321,0.24,0.179,0.141,0.119,0.11,0.111,0.124,0.147,0.179,0.211,0.233,0.239,0.234,0.225,0.217,0.211,0.206,0.205,0.212,0.22,0.226,0.226,0.226,0.225,0.22,0.202,0.169,0.127,0.09,0.068,0.066,0.078,0.098,0.123,0.155,0.194,0.234,0.265,0.28,0.278,0.267,0.255,0.249,0.251,0.258,0.267,0.275,0.284,0.293,0.3,0.299,0.289,0.274,0.259,0.246,0.234,0.225,0.223,0.228,0.243,0.264,0.289,0.312,0.324,0.322,0.304,0.277,0.25,0.23,0.222,0.227,0.237,0.247,0.251,0.247,0.235,0.217,0.201,0.193,0.193,0.194,0.187,0.168,0.141,0.113,0.092,0.079,0.076,0.083,0.102,0.131,0.165,0.194,0.212,0.22,0.22,0.216,0.209,0.203,0.201,0.208,0.218,0.228,0.232,0.233,0.233,0.237,0.243,0.25,0.257,0.262,0.262,0.256,0.245,0.234,0.225,0.217,0.213,0.213,0.22,0.228,0.235,0.238,0.235,0.231,0.228,0.227,0.227,0.227,0.224,0.219,0.212,0.203,0.194,0.186,0.183,0.184,0.183,0.177,0.168,0.161,0.163,0.175,0.191,0.205,0.213,0.213,0.205,0.188,0.166,0.144,0.13,0.13,0.14,0.153,0.166,0.174,0.181,0.186,0.191,0.195,0.195,0.187,0.169,0.142,0.117,0.113,0.148,0.226,0.323,0.405,0.451,0.462,0.457,0.456,0.467,0.487,0.505,0.513,0.508,0.498,0.496,0.508,0.529,0.55,0.559,0.558,0.555,0.559,0.572,0.586,0.59,0.584,0.572,0.566,0.562,0.556,0.544,0.53,0.519,0.517,0.527,0.546,0.564,0.57,0.561,0.54,0.521,0.509,0.508,0.515,0.527,0.54,0.547,0.546,0.542,0.541,0.546,0.554,0.556,0.551,0.54,0.532,0.534,0.545,0.559,0.569,0.573,0.573,0.572,0.566,0.555,0.54,0.528,0.524,0.53,0.545,0.562,0.575,0.577,0.568,0.558,0.553,0.559,0.573,0.592,0.608,0.616,0.613,0.604,0.596,0.596,0.602,0.607,0.607,0.601,0.597,0.603,0.618,0.633,0.637,0.628,0.613,0.602,0.596,0.594,0.591,0.586,0.583,0.583,0.589,0.598,0.604,0.599,0.58,0.553,0.531,0.52,0.52,0.529,0.541,0.552,0.556,0.553,0.544,0.539,0.54,0.545,0.548,0.544,0.538,0.535,0.543,0.559,0.574,0.58,0.576,0.569,0.568,0.571,0.572,0.568,0.56,0.552,0.55,0.558,0.572,0.583,0.578,0.555,0.524,0.499,0.486,0.486,0.495,0.508,0.519,0.525,0.526,0.525,0.525,0.53,0.537,0.543,0.545,0.544,0.548,0.559,0.573,0.582,0.579,0.568,0.558,0.553,0.549,0.544,0.539,0.541,0.553,0.577,0.604,0.623,0.621,0.598,0.566,0.537,0.519,0.512,0.515,0.526,0.54,0.55,0.552,0.548,0.545,0.545,0.545,0.542,0.537,0.535,0.542,0.56,0.586,0.607,0.613,0.602,0.582,0.563,0.551,0.543,0.535,0.527,0.524,0.53,0.549,0.574,0.596,0.604,0.598,0.585,0.578,0.581,0.592,0.602,0.607,0.606,0.6,0.595,0.595,0.601,0.612,0.621,0.622,0.615,0.606,0.603,0.609,0.62,0.623,0.616,0.602,0.59,0.584,0.579,0.573,0.565,0.559,0.559,0.567,0.581,0.595,0.6,0.594,0.578,0.561,0.552,0.551,0.558,0.568,0.575,0.576,0.571,0.563,0.561,0.565,0.573,0.577,0.573,0.561,0.547,0.542,0.55,0.569,0.589,0.603,0.607,0.604,0.593,0.577,0.56,0.547,0.543,0.551,0.57,0.595,0.616,0.619,0.601,0.569,0.537,0.516,0.507,0.511,0.523,0.538,0.547,0.544,0.533,0.52,0.513,0.514,0.518,0.526,0.535,0.549,0.561,0.566,0.559,0.542,0.527,0.525,0.535,0.545,0.544,0.533,0.522,0.52,0.529,0.547,0.564,0.57,0.561,0.542,0.525,0.516,0.518,0.526,0.536,0.545,0.548,0.544,0.531,0.519,0.514,0.52,0.533,0.546,0.553,0.556,0.56,0.569,0.58,0.585,0.586,0.583,0.581,0.576,0.563,0.543,0.523,0.51,0.51,0.523,0.543,0.563,0.575,0.577,0.571,0.566,0.564,0.569,0.58,0.594,0.601,0.597,0.584,0.573,0.574,0.585,0.599,0.601,0.59,0.574,0.567,0.575,0.592,0.603,0.6,0.59,0.58,0.576,0.574,0.568,0.56,0.558,0.564,0.581,0.601,0.619,0.627,0.621,0.605,0.586,0.572,0.568,0.571,0.575,0.575,0.559,0.523,0.469,0.412,0.369,0.349,0.347,0.347,0.334,0.307,0.278,0.262,0.267,0.287,0.31,0.326,0.33,0.325,0.313,0.3,0.288,0.277,0.264,0.246,0.219,0.184,0.145,0.106,0.072,0.045,0.025,0.012,0.005,0.002,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]