[0.066,0.065,0.067,0.081,0.108,0.141,0.169,0.181,0.178,0.164,0.146,0.13,0.118,0.108,0.105,0.109,0.121,0.137,0.155,0.171,0.184,0.195,0.206,0.213,0.214,0.208,0.196,0.184,0.175,0.171,0.171,0.175,0.184,0.195,0.207,0.215,0.218,0.215,0.206,0.192,0.177,0.166,0.158,0.155,0.157,0.165,0.173,0.177,0.172,0.164,0.159,0.163,0.173,0.183,0.186,0.181,0.176,0.178,0.19,0.205,0.216,0.22,0.221,0.222,0.225,0.227,0.229,0.229,0.229,0.226,0.222,0.22,0.223,0.231,0.239,0.242,0.238,0.23,0.221,0.213,0.207,0.204,0.204,0.207,0.215,0.227,0.242,0.258,0.273,0.286,0.298,0.308,0.317,0.323,0.323,0.316,0.302,0.287,0.272,0.259,0.247,0.238,0.237,0.244,0.26,0.277,0.291,0.298,0.3,0.298,0.297,0.297,0.297,0.296,0.296,0.297,0.301,0.308,0.314,0.319,0.321,0.322,0.322,0.32,0.316,0.312,0.307,0.302,0.299,0.298,0.3,0.306,0.311,0.314,0.313,0.309,0.303,0.297,0.29,0.285,0.284,0.288,0.294,0.297,0.293,0.285,0.276,0.27,0.266,0.265,0.264,0.262,0.257,0.25,0.241,0.231,0.22,0.21,0.202,0.196,0.19,0.185,0.179,0.172,0.166,0.162,0.159,0.159,0.162,0.166,0.17,0.17,0.165,0.155,0.145,0.141,0.147,0.164,0.196,0.251,0.332,0.429,0.513,0.554,0.538,0.481,0.409,0.345,0.296,0.265,0.251,0.256,0.276,0.301,0.316,0.311,0.288,0.262,0.246,0.244,0.252,0.276,0.32,0.385,0.446,0.474,0.458,0.418,0.386,0.383,0.408,0.449,0.491,0.524,0.551,0.578,0.6,0.604,0.574,0.513,0.443,0.39,0.363,0.358,0.36,0.36,0.355,0.347,0.342,0.341,0.346,0.353,0.357,0.353,0.336,0.314,0.302,0.319,0.365,0.412,0.425,0.398,0.359,0.342,0.36,0.395,0.43,0.455,0.476,0.499,0.53,0.557,0.561,0.528,0.463,0.391,0.337,0.31,0.3,0.296,0.296,0.3,0.306,0.311,0.309,0.3,0.289,0.282,0.284,0.294,0.307,0.327,0.362,0.42,0.482,0.521,0.518,0.488,0.464,0.466,0.487,0.497,0.48,0.444,0.418,0.426,0.466,0.511,0.529,0.504,0.449,0.391,0.358,0.361,0.387,0.413,0.423,0.414,0.396,0.384,0.382,0.39,0.402,0.411,0.415,0.417,0.429,0.459,0.506,0.55,0.568,0.551,0.514,0.487,0.491,0.521,0.555,0.569,0.559,0.541,0.533,0.54,0.546,0.53,0.486,0.425,0.366,0.315,0.276,0.246,0.227,0.215,0.208,0.206,0.215,0.229,0.239,0.239,0.237,0.245,0.274,0.328,0.401,0.479,0.536,0.551,0.521,0.46,0.394,0.338,0.297,0.272,0.266,0.285,0.333,0.405,0.482,0.533,0.537,0.491,0.42,0.353,0.311,0.296,0.294,0.299,0.306,0.328,0.375,0.45,0.536,0.605,0.634,0.618,0.568,0.508,0.465,0.454,0.474,0.505,0.524,0.517,0.489,0.457,0.433,0.422,0.422,0.428,0.439,0.455,0.482,0.515,0.543,0.546,0.513,0.452,0.385,0.331,0.301,0.295,0.307,0.327,0.351,0.37,0.381,0.382,0.376,0.365,0.35,0.329,0.303,0.288,0.299,0.344,0.403,0.441,0.44,0.408,0.372,0.354,0.358,0.376,0.397,0.414,0.433,0.46,0.497,0.534,0.549,0.528,0.476,0.412,0.358,0.325,0.313,0.317,0.327,0.335,0.337,0.337,0.338,0.338,0.333,0.324,0.317,0.323,0.351,0.404,0.475,0.541,0.57,0.55,0.49,0.421,0.368,0.344,0.34,0.347,0.357,0.368,0.384,0.407,0.439,0.478,0.517,0.543,0.542,0.51,0.454,0.396,0.354,0.335,0.329,0.325,0.313,0.292,0.265,0.24,0.226,0.23,0.247,0.269,0.285,0.293,0.294,0.294,0.297,0.298,0.295,0.285,0.274,0.27,0.282,0.316,0.371,0.441,0.511,0.56,0.575,0.553,0.512,0.475,0.455,0.448,0.44,0.42,0.393,0.375,0.385,0.435,0.517,0.603,0.658,0.655,0.594,0.502,0.426,0.4,0.43,0.487,0.529,0.529,0.491,0.441,0.404,0.393,0.402,0.421,0.441,0.463,0.491,0.528,0.566,0.586,0.574,0.534,0.486,0.447,0.424,0.411,0.399,0.39,0.39,0.413,0.464,0.537,0.611,0.657,0.656,0.61,0.541,0.482,0.457,0.474,0.515,0.549,0.558,0.541,0.522,0.52,0.541,0.565,0.572,0.553,0.525,0.51,0.522,0.553,0.576,0.569,0.527,0.468,0.412,0.375,0.356,0.348,0.345,0.348,0.361,0.389,0.43,0.479,0.525,0.547,0.53,0.477,0.417,0.391,0.418,0.485,0.551,0.58,0.563,0.52,0.478,0.459,0.459,0.466,0.467,0.462,0.464,0.486,0.525,0.56,0.567,0.538,0.488,0.441,0.41,0.394,0.389,0.388,0.393,0.405,0.426,0.45,0.468,0.474,0.47,0.465,0.473,0.5,0.544,0.591,0.622,0.623,0.593,0.545,0.505,0.49,0.509,0.546,0.574,0.572,0.541,0.504,0.484,0.492,0.512,0.523,0.509,0.473,0.431,0.4,0.382,0.374,0.367,0.361,0.361,0.376,0.409,0.456,0.508,0.541,0.537,0.493,0.434,0.399,0.414,0.47,0.532,0.563,0.55,0.514,0.487,0.492,0.522,0.552,0.557,0.534,0.505,0.495,0.511,0.537,0.548,0.529,0.489,0.447,0.42,0.409,0.405,0.397,0.381,0.361,0.353,0.369,0.412,0.468,0.511,0.517,0.489,0.456,0.454,0.491,0.545,0.581,0.58,0.547,0.506,0.482,0.487,0.512,0.538,0.546,0.537,0.529,0.536,0.559,0.576,0.568,0.531,0.478,0.429,0.397,0.383,0.374,0.364,0.35,0.341,0.342,0.36,0.398,0.45,0.497,0.516,0.496,0.458,0.44,0.463,0.516,0.561,0.571,0.542,0.499,0.472,0.478,0.51,0.544,0.559,0.548,0.527,0.515,0.521,0.542,0.566,0.583,0.588,0.578,0.55,0.505,0.45,0.4,0.368,0.368,0.398,0.452,0.515,0.566,0.587,0.571,0.523,0.46,0.405,0.374,0.366,0.372,0.374,0.359,0.327,0.292,0.271,0.274,0.292,0.312,0.325,0.341,0.376,0.439,0.52,0.588,0.619,0.602,0.55,0.486,0.43,0.389,0.364,0.349,0.339,0.33,0.323,0.317,0.311,0.306,0.302,0.305,0.319,0.349,0.395,0.454,0.513,0.556,0.573,0.559,0.529,0.503,0.5,0.52,0.55,0.575,0.59,0.6,0.603,0.595,0.568,0.525,0.476,0.433,0.399,0.372,0.35,0.333,0.323,0.32,0.319,0.32,0.32,0.319,0.319,0.324,0.343,0.38,0.438,0.503,0.558,0.586,0.581,0.55,0.51,0.483,0.48,0.502,0.533,0.558,0.573,0.585,0.601,0.616,0.621,0.607,0.577,0.534,0.485,0.434,0.388,0.353,0.33,0.318,0.31,0.307,0.307,0.309,0.311,0.313,0.311,0.309,0.307,0.314,0.339,0.387,0.448,0.502,0.527,0.518,0.492,0.471,0.476,0.501,0.533,0.561,0.583,0.604,0.622,0.624,0.605,0.568,0.533,0.516,0.523,0.544,0.561,0.558,0.537,0.513,0.504,0.515,0.536,0.55,0.547,0.53,0.514,0.509,0.516,0.527,0.534,0.532,0.524,0.511,0.488,0.449,0.394,0.338,0.296,0.278,0.277,0.28,0.284,0.301,0.337,0.382,0.415,0.419,0.396,0.356,0.317,0.29,0.284,0.297,0.317,0.335,0.346,0.351,0.349,0.338,0.314,0.282,0.255,0.25,0.279,0.338,0.405,0.453,0.472,0.463,0.446,0.435,0.437,0.446,0.454,0.46,0.468,0.484,0.504,0.515,0.503,0.467,0.425,0.401,0.405,0.432,0.461,0.472,0.454,0.416,0.381,0.373,0.404,0.458,0.506,0.523,0.502,0.449,0.387,0.332,0.299,0.286,0.284,0.288,0.297,0.32,0.359,0.411,0.458,0.487,0.498,0.502,0.51,0.524,0.534,0.528,0.501,0.465,0.44,0.437,0.455,0.479,0.489,0.472,0.435,0.393,0.362,0.346,0.342,0.346,0.356,0.367,0.376,0.38,0.382,0.381,0.371,0.35,0.326,0.311,0.318,0.348,0.393,0.432,0.454,0.46,0.467,0.489,0.523,0.551,0.554,0.53,0.493,0.462,0.45,0.457,0.473,0.478,0.46,0.426,0.397,0.395,0.425,0.474,0.523,0.554,0.565,0.559,0.547,0.539,0.537,0.541,0.547,0.551,0.549,0.54,0.521,0.498,0.476,0.466,0.47,0.485,0.504,0.524,0.541,0.547,0.534,0.499,0.449,0.398,0.358,0.334,0.325,0.328,0.337,0.354,0.383,0.432,0.495,0.553,0.58,0.56,0.499,0.42,0.354,0.327,0.346,0.388,0.421,0.426,0.415,0.41,0.429,0.465,0.497,0.508,0.501,0.492,0.495,0.506,0.509,0.49,0.454,0.419,0.407,0.426,0.459,0.477,0.464,0.429,0.403,0.417,0.476,0.555,0.615,0.624,0.575,0.485,0.392,0.337,0.335,0.374,0.416,0.431,0.412,0.385,0.38,0.412,0.465,0.509,0.526,0.519,0.509,0.509,0.519,0.521,0.505,0.47,0.432,0.408,0.406,0.421,0.438,0.444,0.439,0.433,0.44,0.462,0.483,0.485,0.459,0.417,0.381,0.373,0.398,0.444,0.49,0.515,0.512,0.483,0.442,0.4,0.366,0.348,0.347,0.361,0.383,0.41,0.44,0.467,0.478,0.46,0.413,0.362,0.339,0.365,0.43,0.503,0.548,0.543,0.492,0.417,0.352,0.327,0.356,0.427,0.509,0.575,0.609,0.616,0.606,0.595,0.584,0.574,0.555,0.525,0.484,0.447,0.421,0.407,0.401,0.399,0.41,0.439,0.484,0.527,0.548,0.537,0.505,0.469,0.446,0.438,0.435,0.427,0.411,0.403,0.417,0.461,0.523,0.583,0.617,0.612,0.573,0.523,0.491,0.493,0.525,0.564,0.583,0.568,0.529,0.484,0.45,0.431,0.428,0.435,0.448,0.47,0.501,0.539,0.573,0.592,0.583,0.554,0.515,0.482,0.46,0.446,0.436,0.427,0.427,0.444,0.486,0.545,0.602,0.636,0.634,0.604,0.566,0.545,0.547,0.568,0.584,0.58,0.553,0.516,0.489,0.49,0.516,0.551,0.572,0.571,0.556,0.544,0.547,0.559,0.565,0.55,0.516,0.473,0.436,0.414,0.403,0.396,0.39,0.392,0.412,0.456,0.517,0.575,0.611,0.608,0.568,0.509,0.464,0.454,0.483,0.526,0.553,0.544,0.505,0.458,0.423,0.406,0.401,0.402,0.404,0.411,0.43,0.466,0.51,0.54,0.539,0.506,0.459,0.422,0.404,0.403,0.409,0.416,0.423,0.43,0.436,0.438,0.436,0.432,0.432,0.442,0.468,0.51,0.56,0.603,0.625,0.622,0.594,0.556,0.526,0.516,0.528,0.548,0.558,0.548,0.528,0.515,0.522,0.541,0.553,0.54,0.503,0.457,0.422,0.407,0.407,0.41,0.411,0.416,0.436,0.478,0.535,0.587,0.616,0.608,0.569,0.519,0.485,0.484,0.514,0.552,0.573,0.563,0.534,0.506,0.501,0.517,0.536,0.536,0.508,0.47,0.448,0.459,0.495,0.531,0.543,0.525,0.495,0.471,0.461,0.46,0.457,0.449,0.441,0.447,0.477,0.527,0.578,0.608,0.604,0.57,0.526,0.496,0.495,0.516,0.54,0.546,0.527,0.493,0.466,0.462,0.481,0.506,0.52,0.512,0.491,0.478,0.488,0.517,0.543,0.545,0.519,0.482,0.452,0.439,0.436,0.432,0.422,0.417,0.431,0.472,0.531,0.587,0.621,0.624,0.603,0.572,0.549,0.544,0.558,0.58,0.592,0.584,0.557,0.53,0.521,0.532,0.551,0.558,0.545,0.521,0.509,0.524,0.561,0.604,0.634,0.646,0.642,0.623,0.585,0.531,0.469,0.417,0.392,0.401,0.442,0.504,0.565,0.606,0.613,0.591,0.561,0.546,0.557,0.587,0.611,0.606,0.566,0.505,0.445,0.404,0.393,0.405,0.424,0.438,0.447,0.463,0.496,0.543,0.585,0.607,0.605,0.589,0.573,0.562,0.551,0.528,0.49,0.443,0.406,0.397,0.424,0.471,0.516,0.542,0.551,0.555,0.567,0.584,0.601,0.609,0.601,0.578,0.547,0.52,0.507,0.51,0.523,0.533,0.534,0.532,0.532,0.539,0.543,0.533,0.505,0.467,0.439,0.433,0.45,0.473,0.483,0.465,0.428,0.393,0.386,0.419,0.475,0.526,0.545,0.533,0.506,0.49,0.495,0.515,0.535,0.538,0.524,0.501,0.488,0.493,0.518,0.548,0.573,0.588,0.597,0.606,0.611,0.604,0.579,0.541,0.504,0.481,0.473,0.475,0.472,0.456,0.427,0.395,0.375,0.383,0.424,0.482,0.533,0.551,0.54,0.513,0.492,0.488,0.497,0.506,0.504,0.487,0.461,0.442,0.438,0.454,0.48,0.507,0.527,0.542,0.555,0.565,0.563,0.546,0.514,0.48,0.454,0.439,0.434,0.431,0.425,0.414,0.403,0.404,0.425,0.467,0.516,0.553,0.568,0.562,0.546,0.532,0.527,0.535,0.551,0.563,0.565,0.555,0.543,0.54,0.549,0.563,0.574,0.576,0.577,0.582,0.591,0.595,0.583,0.555,0.518,0.48,0.438,0.39,0.338,0.297,0.274,0.267,0.267,0.266,0.262,0.257,0.252,0.25,0.254,0.264,0.279,0.291,0.297,0.294,0.281,0.265,0.258,0.269,0.296,0.33,0.355,0.365,0.363,0.356,0.356,0.37,0.394,0.415,0.422,0.415,0.4,0.38,0.355,0.324,0.301,0.293,0.303,0.321,0.336,0.344,0.344,0.334,0.312,0.278,0.241,0.216,0.216,0.243,0.287,0.334,0.372,0.397,0.417,0.445,0.485,0.529,0.566,0.585,0.588,0.583,0.581,0.589,0.609,0.636,0.658,0.663,0.645,0.608,0.558,0.503,0.451,0.413,0.402,0.423,0.467,0.512,0.535,0.529,0.504,0.484,0.485,0.505,0.526,0.529,0.507,0.469,0.434,0.422,0.439,0.477,0.517,0.548,0.562,0.566,0.561,0.549,0.527,0.499,0.473,0.458,0.456,0.459,0.463,0.467,0.476,0.492,0.512,0.532,0.552,0.573,0.592,0.604,0.609,0.611,0.611,0.61,0.606,0.601,0.594,0.588,0.582,0.579,0.58,0.586,0.594,0.601,0.604,0.602,0.599,0.593,0.583,0.561,0.521,0.468,0.414,0.37,0.341,0.328,0.331,0.349,0.378,0.409,0.43,0.433,0.418,0.394,0.372,0.357,0.344,0.323,0.292,0.257,0.231,0.222,0.227,0.238,0.254,0.275,0.3,0.323,0.337,0.336,0.321,0.296,0.272,0.258,0.26,0.276,0.3,0.322,0.336,0.337,0.323,0.302,0.283,0.274,0.277,0.284,0.29,0.291,0.287,0.279,0.274,0.276,0.284,0.296,0.307,0.316,0.325,0.335,0.345,0.352,0.357,0.363,0.371,0.383,0.398,0.414,0.429,0.437,0.434,0.415,0.386,0.357,0.341,0.341,0.353,0.366,0.371,0.368,0.362,0.357,0.355,0.353,0.35,0.344,0.337,0.33,0.322,0.312,0.301,0.29,0.279,0.27,0.263,0.26,0.266,0.281,0.301,0.318,0.324,0.312,0.286,0.255,0.236,0.238,0.264,0.307,0.356,0.401,0.429,0.436,0.429,0.421,0.421,0.425,0.429,0.432,0.439,0.446,0.454,0.46,0.469,0.476,0.477,0.468,0.457,0.448,0.442,0.438,0.441,0.459,0.486,0.514,0.529,0.533,0.529,0.528,0.532,0.542,0.555,0.562,0.558,0.544,0.527,0.514,0.507,0.497,0.48,0.457,0.442,0.448,0.481,0.531,0.579,0.609,0.611,0.589,0.56,0.541,0.542,0.562,0.583,0.592,0.578,0.551,0.525,0.516,0.526,0.545,0.558,0.558,0.551,0.548,0.554,0.563,0.564,0.55,0.526,0.498,0.476,0.462,0.454,0.45,0.453,0.468,0.495,0.534,0.575,0.605,0.615,0.603,0.574,0.545,0.528,0.529,0.544,0.558,0.559,0.543,0.519,0.502,0.502,0.516,0.533,0.538,0.532,0.524,0.526,0.54,0.556,0.56,0.545,0.516,0.486,0.465,0.453,0.444,0.432,0.42,0.42,0.442,0.485,0.535,0.574,0.588,0.574,0.542,0.509,0.494,0.502,0.527,0.55,0.558,0.544,0.52,0.501,0.501,0.519,0.539,0.547,0.536,0.52,0.513,0.523,0.54,0.547,0.531,0.501,0.469,0.45,0.446,0.45,0.455,0.458,0.466,0.484,0.515,0.549,0.576,0.585,0.578,0.561,0.547,0.544,0.552,0.561,0.56,0.544,0.518,0.496,0.486,0.497,0.524,0.56,0.593,0.619,0.633,0.634,0.621,0.593,0.555,0.512,0.476,0.451,0.44,0.439,0.44,0.438,0.436,0.443,0.464,0.499,0.538,0.567,0.577,0.565,0.54,0.516,0.505,0.513,0.533,0.55,0.551,0.535,0.514,0.503,0.51,0.525,0.533,0.521,0.495,0.471,0.466,0.48,0.5,0.513,0.512,0.506,0.503,0.51,0.52,0.525,0.52,0.511,0.508,0.523,0.551,0.58,0.594,0.587,0.564,0.534,0.513,0.508,0.518,0.531,0.535,0.523,0.5,0.482,0.478,0.49,0.505,0.51,0.5,0.486,0.481,0.497,0.524,0.55,0.562,0.561,0.557,0.558,0.56,0.554,0.532,0.501,0.479,0.484,0.521,0.578,0.632,0.663,0.667,0.653,0.639,0.637,0.65,0.666,0.672,0.66,0.628,0.59,0.559,0.55,0.561,0.579,0.591,0.589,0.581,0.577,0.584,0.598,0.612,0.623,0.628,0.631,0.632,0.632,0.63,0.627,0.624,0.623,0.622,0.622,0.621,0.614,0.593,0.547,0.477,0.393,0.321,0.278,0.266,0.271,0.275,0.268,0.253,0.24,0.241,0.259,0.287,0.313,0.331,0.347,0.369,0.407,0.453,0.493,0.512,0.511,0.5,0.492,0.49,0.489,0.484,0.473,0.467,0.477,0.509,0.554,0.593,0.609,0.601,0.579,0.563,0.564,0.579,0.593,0.594,0.578,0.553,0.532,0.524,0.533,0.55,0.565,0.568,0.565,0.566,0.58,0.601,0.618,0.622,0.616,0.609,0.61,0.617,0.618,0.602,0.564,0.515,0.48,0.475,0.505,0.552,0.593,0.61,0.602,0.583,0.572,0.58,0.605,0.633,0.654,0.663,0.659,0.645,0.629,0.62,0.621,0.631,0.641,0.649,0.652,0.654,0.649,0.634,0.606,0.573,0.548,0.539,0.547,0.559,0.56,0.543,0.516,0.499,0.509,0.544,0.587,0.617,0.623,0.609,0.589,0.579,0.583,0.595,0.602,0.594,0.571,0.544,0.527,0.527,0.544,0.564,0.576,0.578,0.579,0.585,0.597,0.601,0.591,0.571,0.553,0.547,0.552,0.559,0.561,0.559,0.557,0.557,0.557,0.562,0.575,0.595,0.614,0.627,0.633,0.635,0.638,0.641,0.643,0.639,0.632,0.624,0.619,0.617,0.619,0.623,0.63,0.637,0.644,0.651,0.66,0.67,0.669,0.647,0.598,0.531,0.461,0.405,0.366,0.34,0.315,0.287,0.258,0.231,0.21,0.196,0.189,0.188,0.192,0.197,0.201,0.201,0.197,0.191,0.188,0.191,0.205,0.227,0.256,0.283,0.303,0.312,0.313,0.314,0.324,0.356,0.412,0.479,0.531,0.547,0.523,0.475,0.425,0.386,0.361,0.344,0.331,0.328,0.346,0.397,0.479,0.574,0.655,0.707,0.729,0.728,0.714,0.691,0.67,0.658,0.656,0.657,0.656,0.649,0.633,0.601,0.547,0.477,0.41,0.364,0.358,0.399,0.481,0.579,0.657,0.682,0.659,0.614,0.586,0.582,0.582,0.55,0.477,0.396,0.354,0.379,0.461,0.563,0.647,0.696,0.703,0.67,0.596,0.498,0.41,0.37,0.391,0.45,0.505,0.53,0.535,0.553,0.598,0.648,0.664,0.63,0.564,0.507,0.485,0.491,0.496,0.482,0.449,0.413,0.386,0.37,0.361,0.358,0.359,0.363,0.367,0.369,0.369,0.369,0.368,0.367,0.364,0.361,0.358,0.357,0.356,0.359,0.369,0.394,0.438,0.498,0.562,0.618,0.654,0.67,0.667,0.65,0.622,0.586,0.543,0.496,0.451,0.414,0.389,0.374,0.364,0.353,0.34,0.328,0.317,0.306,0.292,0.275,0.251,0.221,0.187,0.156,0.131,0.116,0.107,0.101,0.094,0.084,0.069,0.05,0.031,0.016,0.006,0.002,0,0,0,0,0,0,0,0,0,0,0,0]