[0.143,0.145,0.15,0.156,0.162,0.167,0.169,0.168,0.166,0.163,0.161,0.161,0.162,0.163,0.16,0.152,0.145,0.14,0.141,0.143,0.146,0.145,0.144,0.144,0.145,0.146,0.149,0.151,0.153,0.155,0.156,0.159,0.166,0.175,0.18,0.18,0.174,0.167,0.161,0.161,0.161,0.162,0.162,0.161,0.159,0.157,0.157,0.161,0.167,0.172,0.173,0.168,0.161,0.157,0.16,0.165,0.17,0.173,0.173,0.172,0.172,0.171,0.171,0.174,0.18,0.184,0.185,0.182,0.177,0.173,0.169,0.164,0.159,0.157,0.157,0.157,0.155,0.154,0.154,0.157,0.16,0.161,0.16,0.16,0.161,0.163,0.165,0.164,0.161,0.158,0.155,0.151,0.15,0.151,0.155,0.158,0.161,0.161,0.162,0.163,0.164,0.165,0.164,0.163,0.163,0.162,0.162,0.163,0.169,0.179,0.187,0.19,0.188,0.184,0.184,0.191,0.202,0.214,0.227,0.242,0.261,0.286,0.318,0.359,0.404,0.445,0.471,0.482,0.488,0.495,0.505,0.508,0.501,0.491,0.487,0.489,0.491,0.486,0.477,0.471,0.476,0.491,0.515,0.539,0.557,0.565,0.563,0.553,0.535,0.506,0.463,0.408,0.354,0.321,0.322,0.353,0.394,0.428,0.447,0.458,0.464,0.462,0.444,0.42,0.406,0.416,0.445,0.482,0.513,0.536,0.553,0.563,0.566,0.563,0.556,0.547,0.539,0.533,0.531,0.531,0.525,0.504,0.471,0.439,0.425,0.434,0.457,0.478,0.488,0.489,0.484,0.475,0.464,0.453,0.443,0.437,0.438,0.45,0.471,0.494,0.51,0.513,0.509,0.504,0.504,0.511,0.519,0.518,0.505,0.477,0.436,0.383,0.324,0.269,0.229,0.211,0.223,0.262,0.322,0.389,0.447,0.484,0.497,0.495,0.49,0.483,0.468,0.434,0.381,0.321,0.276,0.26,0.277,0.319,0.375,0.429,0.468,0.487,0.489,0.485,0.483,0.483,0.479,0.468,0.452,0.443,0.448,0.471,0.502,0.532,0.554,0.567,0.568,0.555,0.532,0.509,0.499,0.502,0.513,0.52,0.521,0.521,0.526,0.536,0.549,0.558,0.56,0.558,0.553,0.55,0.545,0.535,0.51,0.471,0.426,0.393,0.381,0.39,0.405,0.417,0.423,0.431,0.442,0.45,0.447,0.438,0.437,0.457,0.49,0.523,0.544,0.555,0.564,0.578,0.592,0.6,0.598,0.588,0.579,0.577,0.581,0.582,0.572,0.547,0.511,0.475,0.453,0.45,0.46,0.475,0.49,0.5,0.505,0.503,0.492,0.477,0.463,0.455,0.455,0.468,0.489,0.509,0.517,0.509,0.489,0.47,0.462,0.471,0.488,0.5,0.497,0.477,0.441,0.394,0.341,0.294,0.262,0.252,0.268,0.306,0.356,0.41,0.456,0.488,0.505,0.512,0.514,0.512,0.497,0.46,0.403,0.337,0.285,0.264,0.28,0.326,0.384,0.438,0.472,0.482,0.473,0.462,0.457,0.462,0.471,0.48,0.487,0.495,0.504,0.51,0.511,0.509,0.51,0.518,0.528,0.535,0.536,0.531,0.525,0.518,0.51,0.5,0.491,0.488,0.491,0.498,0.506,0.513,0.519,0.522,0.524,0.525,0.526,0.526,0.523,0.513,0.492,0.464,0.437,0.418,0.411,0.413,0.42,0.431,0.441,0.449,0.453,0.459,0.474,0.498,0.523,0.537,0.537,0.53,0.525,0.526,0.53,0.532,0.531,0.527,0.522,0.518,0.517,0.52,0.527,0.533,0.535,0.531,0.527,0.524,0.524,0.528,0.534,0.54,0.545,0.548,0.547,0.541,0.535,0.532,0.535,0.539,0.54,0.535,0.528,0.525,0.527,0.536,0.546,0.555,0.558,0.555,0.548,0.541,0.537,0.534,0.526,0.509,0.486,0.466,0.457,0.461,0.472,0.481,0.486,0.49,0.494,0.498,0.5,0.499,0.497,0.49,0.476,0.458,0.442,0.435,0.437,0.445,0.454,0.464,0.474,0.482,0.483,0.475,0.462,0.456,0.464,0.486,0.514,0.54,0.555,0.559,0.553,0.543,0.533,0.529,0.531,0.536,0.543,0.547,0.551,0.554,0.56,0.564,0.567,0.566,0.564,0.562,0.56,0.558,0.558,0.56,0.562,0.562,0.556,0.543,0.523,0.501,0.479,0.465,0.461,0.464,0.467,0.464,0.458,0.46,0.473,0.494,0.514,0.524,0.525,0.52,0.512,0.502,0.49,0.48,0.475,0.472,0.474,0.483,0.507,0.541,0.575,0.599,0.606,0.6,0.588,0.579,0.578,0.582,0.588,0.59,0.584,0.572,0.559,0.55,0.548,0.552,0.556,0.555,0.548,0.539,0.535,0.539,0.547,0.557,0.562,0.563,0.559,0.55,0.54,0.534,0.536,0.541,0.545,0.539,0.523,0.501,0.481,0.468,0.463,0.462,0.464,0.467,0.471,0.474,0.476,0.475,0.472,0.465,0.452,0.434,0.413,0.389,0.365,0.34,0.319,0.304,0.3,0.308,0.327,0.355,0.393,0.439,0.488,0.531,0.561,0.587,0.619,0.67,0.735,0.802,0.855,0.888,0.904,0.908,0.907,0.901,0.892,0.881,0.876,0.878,0.884,0.885,0.877,0.863,0.856,0.86,0.875,0.891,0.901,0.905,0.902,0.895,0.887,0.88,0.877,0.876,0.871,0.862,0.849,0.845,0.853,0.871,0.89,0.903,0.907,0.905,0.898,0.889,0.882,0.879,0.882,0.884,0.879,0.868,0.86,0.861,0.873,0.886,0.896,0.897,0.893,0.886,0.878,0.872,0.868,0.867,0.867,0.864,0.856,0.848,0.849,0.86,0.878,0.894,0.904,0.907,0.903,0.894,0.884,0.879,0.882,0.888,0.89,0.882,0.869,0.861,0.863,0.874,0.886,0.894,0.896,0.892,0.886,0.878,0.873,0.87,0.869,0.862,0.85,0.837,0.835,0.845,0.867,0.887,0.901,0.906,0.903,0.895,0.884,0.876,0.872,0.875,0.876,0.872,0.861,0.852,0.852,0.863,0.878,0.89,0.895,0.894,0.888,0.878,0.87,0.866,0.866,0.868,0.862,0.849,0.831,0.819,0.815,0.818,0.825,0.831,0.837,0.841,0.842,0.839,0.833,0.828,0.827,0.826,0.822,0.814,0.809,0.811,0.818,0.827,0.833,0.836,0.84,0.843,0.843,0.839,0.831,0.822,0.811,0.8,0.789,0.785,0.789,0.802,0.816,0.827,0.833,0.836,0.838,0.837,0.833,0.828,0.824,0.821,0.819,0.816,0.815,0.817,0.823,0.829,0.833,0.834,0.836,0.838,0.838,0.835,0.83,0.826,0.824,0.823,0.822,0.823,0.831,0.845,0.86,0.872,0.88,0.883,0.881,0.874,0.864,0.858,0.858,0.864,0.867,0.863,0.854,0.848,0.85,0.858,0.866,0.871,0.871,0.869,0.866,0.862,0.859,0.858,0.856,0.849,0.838,0.827,0.824,0.833,0.85,0.866,0.878,0.883,0.883,0.879,0.874,0.869,0.869,0.875,0.886,0.894,0.889,0.862,0.815,0.756,0.701,0.664,0.651,0.662,0.687,0.714,0.733,0.741,0.74,0.74,0.749,0.771,0.803,0.838,0.867,0.886,0.896,0.899,0.899,0.896,0.89,0.881,0.876,0.876,0.88,0.88,0.873,0.863,0.858,0.863,0.876,0.889,0.898,0.901,0.9,0.895,0.888,0.882,0.879,0.879,0.876,0.868,0.856,0.85,0.856,0.872,0.889,0.9,0.902,0.898,0.889,0.88,0.873,0.872,0.876,0.879,0.876,0.867,0.861,0.864,0.874,0.887,0.896,0.899,0.898,0.894,0.889,0.883,0.878,0.876,0.874,0.868,0.858,0.851,0.852,0.862,0.877,0.889,0.896,0.898,0.895,0.888,0.879,0.875,0.877,0.884,0.885,0.879,0.867,0.861,0.863,0.874,0.885,0.892,0.896,0.896,0.893,0.888,0.882,0.879,0.876,0.869,0.858,0.844,0.84,0.849,0.868,0.887,0.899,0.902,0.898,0.89,0.88,0.873,0.871,0.874,0.875,0.871,0.861,0.854,0.855,0.865,0.877,0.885,0.888,0.887,0.882,0.876,0.87,0.868,0.869,0.87,0.864,0.849,0.83,0.817,0.814,0.819,0.825,0.829,0.834,0.838,0.841,0.839,0.834,0.827,0.823,0.82,0.816,0.811,0.811,0.816,0.825,0.831,0.832,0.83,0.828,0.828,0.829,0.831,0.831,0.828,0.82,0.808,0.794,0.789,0.794,0.809,0.823,0.832,0.835,0.836,0.836,0.835,0.833,0.829,0.825,0.821,0.817,0.812,0.811,0.816,0.826,0.836,0.842,0.843,0.843,0.842,0.84,0.836,0.831,0.827,0.824,0.822,0.821,0.823,0.832,0.847,0.863,0.874,0.881,0.881,0.877,0.869,0.861,0.858,0.861,0.868,0.87,0.865,0.855,0.851,0.854,0.862,0.87,0.873,0.872,0.869,0.865,0.862,0.862,0.863,0.865,0.86,0.848,0.834,0.829,0.837,0.854,0.871,0.881,0.881,0.876,0.867,0.86,0.856,0.858,0.867,0.876,0.881,0.875,0.856,0.822,0.779,0.733,0.694,0.669,0.659,0.66,0.661,0.656,0.641,0.616,0.584,0.543,0.497,0.452,0.415,0.39,0.374,0.364,0.355,0.349,0.344,0.34,0.336,0.329,0.32,0.31,0.301,0.294,0.291,0.291,0.291,0.288,0.283,0.278,0.274,0.273,0.274,0.276,0.276,0.272,0.265,0.26,0.258,0.259,0.262,0.264,0.263,0.259,0.255,0.254,0.256,0.26,0.264,0.265,0.262,0.256,0.25,0.247,0.248,0.253,0.258,0.26,0.259,0.257,0.255,0.257,0.261,0.265,0.267,0.265,0.258,0.251,0.247,0.249,0.255,0.26,0.262,0.258,0.251,0.243,0.239,0.239,0.244,0.248,0.247,0.24,0.229,0.22,0.217,0.222,0.232,0.239,0.241,0.236,0.229,0.225,0.226,0.231,0.238,0.241,0.238,0.23,0.22,0.214,0.213,0.216,0.22,0.219,0.215,0.207,0.201,0.199,0.202,0.209,0.213,0.21,0.202,0.19,0.182,0.18,0.186,0.194,0.201,0.204,0.203,0.202,0.204,0.211,0.222,0.234,0.244,0.253,0.267,0.292,0.332,0.385,0.441,0.489,0.521,0.539,0.548,0.557,0.569,0.58,0.582,0.574,0.563,0.556,0.559,0.569,0.58,0.587,0.589,0.585,0.576,0.566,0.559,0.555,0.556,0.558,0.559,0.553,0.535,0.502,0.459,0.422,0.403,0.407,0.423,0.441,0.453,0.462,0.472,0.481,0.485,0.48,0.476,0.48,0.492,0.506,0.516,0.522,0.527,0.532,0.532,0.528,0.52,0.513,0.51,0.512,0.519,0.528,0.535,0.534,0.524,0.506,0.492,0.489,0.499,0.516,0.531,0.537,0.536,0.534,0.533,0.534,0.534,0.532,0.53,0.53,0.534,0.54,0.546,0.548,0.549,0.552,0.557,0.562,0.564,0.561,0.553,0.54,0.516,0.476,0.423,0.366,0.318,0.291,0.287,0.306,0.342,0.386,0.429,0.459,0.476,0.485,0.493,0.501,0.5,0.481,0.443,0.393,0.346,0.316,0.309,0.321,0.346,0.376,0.402,0.42,0.43,0.439,0.45,0.467,0.49,0.514,0.534,0.547,0.554,0.558,0.558,0.556,0.553,0.553,0.561,0.576,0.589,0.594,0.588,0.575,0.56,0.548,0.541,0.54,0.545,0.549,0.548,0.542,0.536,0.537,0.544,0.552,0.557,0.555,0.547,0.532,0.511,0.487,0.469,0.46,0.46,0.459,0.454,0.453,0.467,0.497,0.528,0.55,0.557,0.56,0.564,0.569,0.571,0.568,0.563,0.558,0.549,0.537,0.529,0.533,0.549,0.567,0.578,0.582,0.581,0.579,0.573,0.561,0.545,0.534,0.533,0.542,0.553,0.561,0.565,0.567,0.568,0.568,0.565,0.558,0.55,0.543,0.538,0.536,0.538,0.542,0.546,0.547,0.546,0.548,0.554,0.564,0.572,0.576,0.572,0.564,0.553,0.539,0.52,0.501,0.484,0.47,0.455,0.44,0.434,0.447,0.479,0.516,0.54,0.542,0.525,0.501,0.48,0.463,0.453,0.451,0.461,0.474,0.488,0.5,0.518,0.541,0.562,0.574,0.576,0.576,0.578,0.583,0.586,0.586,0.585,0.583,0.578,0.568,0.555,0.544,0.538,0.54,0.544,0.55,0.552,0.552,0.551,0.554,0.561,0.57,0.577,0.579,0.578,0.574,0.57,0.568,0.568,0.567,0.563,0.551,0.532,0.509,0.489,0.474,0.468,0.469,0.474,0.478,0.478,0.477,0.483,0.495,0.511,0.523,0.529,0.533,0.536,0.538,0.535,0.528,0.517,0.506,0.496,0.49,0.495,0.516,0.547,0.578,0.595,0.593,0.577,0.556,0.538,0.527,0.522,0.518,0.512,0.505,0.499,0.494,0.488,0.48,0.475,0.475,0.48,0.484,0.486,0.487,0.492,0.5,0.508,0.513,0.515,0.515,0.516,0.518,0.519,0.521,0.526,0.531,0.533,0.529,0.516,0.497,0.475,0.46,0.455,0.463,0.476,0.489,0.497,0.499,0.497,0.492,0.488,0.485,0.483,0.478,0.466,0.439,0.394,0.334,0.278,0.238,0.222,0.233,0.269,0.329,0.403,0.472,0.521,0.543,0.544,0.531,0.506,0.471,0.435,0.419,0.435,0.477,0.526,0.563,0.58,0.583,0.577,0.573,0.573,0.579,0.583,0.582,0.575,0.569,0.568,0.574,0.584,0.592,0.597,0.602,0.613,0.626,0.637,0.64,0.639,0.637,0.637,0.64,0.641,0.642,0.643,0.648,0.655,0.664,0.67,0.674,0.676,0.678,0.682,0.686,0.692,0.699,0.707,0.718,0.729,0.738,0.74,0.725,0.682,0.61,0.525,0.448,0.397,0.376,0.388,0.429,0.5,0.592,0.688,0.77,0.826,0.857,0.868,0.87,0.867,0.863,0.857,0.848,0.842,0.842,0.846,0.849,0.848,0.843,0.84,0.842,0.848,0.856,0.862,0.866,0.866,0.864,0.857,0.851,0.85,0.854,0.856,0.853,0.846,0.842,0.844,0.853,0.862,0.867,0.868,0.865,0.859,0.849,0.842,0.841,0.848,0.853,0.85,0.839,0.829,0.828,0.84,0.857,0.872,0.879,0.881,0.878,0.872,0.864,0.858,0.852,0.846,0.837,0.826,0.821,0.826,0.841,0.855,0.864,0.866,0.866,0.863,0.858,0.85,0.845,0.844,0.847,0.847,0.84,0.831,0.825,0.829,0.84,0.854,0.867,0.875,0.879,0.878,0.873,0.869,0.867,0.869,0.87,0.866,0.859,0.854,0.855,0.861,0.865,0.866,0.865,0.862,0.857,0.848,0.84,0.838,0.843,0.85,0.852,0.844,0.833,0.829,0.834,0.845,0.854,0.857,0.853,0.847,0.843,0.843,0.849,0.859,0.866,0.865,0.858,0.851,0.85,0.856,0.862,0.865,0.864,0.862,0.858,0.853,0.845,0.84,0.841,0.849,0.854,0.853,0.845,0.837,0.837,0.843,0.853,0.863,0.87,0.873,0.87,0.861,0.853,0.851,0.854,0.855,0.852,0.845,0.84,0.844,0.854,0.865,0.872,0.875,0.874,0.87,0.861,0.853,0.85,0.852,0.853,0.846,0.83,0.817,0.816,0.83,0.85,0.868,0.877,0.88,0.879,0.874,0.867,0.859,0.853,0.847,0.84,0.83,0.825,0.828,0.839,0.852,0.862,0.866,0.868,0.867,0.863,0.856,0.85,0.85,0.854,0.855,0.85,0.843,0.839,0.842,0.851,0.859,0.865,0.869,0.869,0.866,0.859,0.852,0.848,0.85,0.852,0.852,0.85,0.85,0.855,0.862,0.867,0.868,0.867,0.864,0.859,0.851,0.845,0.845,0.855,0.866,0.871,0.858,0.824,0.77,0.713,0.668,0.652,0.662,0.687,0.714,0.734,0.748,0.76,0.772,0.78,0.786,0.794,0.807,0.826,0.845,0.858,0.863,0.863,0.862,0.86,0.856,0.849,0.843,0.843,0.848,0.851,0.848,0.842,0.839,0.842,0.85,0.858,0.864,0.869,0.87,0.866,0.857,0.849,0.846,0.849,0.851,0.849,0.844,0.843,0.847,0.855,0.861,0.863,0.862,0.859,0.855,0.848,0.842,0.842,0.847,0.85,0.847,0.835,0.824,0.823,0.834,0.851,0.866,0.876,0.879,0.877,0.87,0.862,0.854,0.85,0.844,0.836,0.824,0.818,0.823,0.838,0.854,0.863,0.866,0.864,0.86,0.855,0.849,0.845,0.846,0.849,0.849,0.843,0.833,0.828,0.832,0.844,0.858,0.869,0.878,0.881,0.88,0.873,0.867,0.864,0.865,0.867,0.864,0.858,0.854,0.855,0.86,0.866,0.87,0.871,0.867,0.859,0.847,0.838,0.837,0.846,0.856,0.858,0.849,0.837,0.831,0.835,0.846,0.855,0.858,0.856,0.85,0.846,0.845,0.851,0.86,0.867,0.868,0.861,0.854,0.853,0.858,0.865,0.868,0.868,0.866,0.862,0.855,0.846,0.841,0.842,0.849,0.855,0.853,0.844,0.837,0.837,0.844,0.855,0.864,0.871,0.872,0.868,0.859,0.852,0.851,0.856,0.86,0.858,0.85,0.845,0.846,0.854,0.864,0.87,0.873,0.874,0.87,0.862,0.854,0.85,0.852,0.852,0.845,0.83,0.817,0.814,0.826,0.846,0.863,0.874,0.878,0.877,0.872,0.864,0.856,0.851,0.846,0.841,0.833,0.83,0.835,0.848,0.862,0.871,0.872,0.871,0.867,0.862,0.855,0.85,0.849,0.851,0.851,0.846,0.839,0.835,0.84,0.849,0.86,0.867,0.871,0.871,0.867,0.859,0.852,0.85,0.854,0.857,0.857,0.852,0.85,0.854,0.861,0.869,0.874,0.875,0.871,0.862,0.851,0.843,0.844,0.855,0.869,0.874,0.856,0.811,0.742,0.671,0.618,0.596,0.6,0.616,0.628,0.634,0.638,0.65,0.675,0.708,0.741,0.772,0.799,0.823,0.844,0.86,0.868,0.871,0.87,0.867,0.859,0.849,0.842,0.84,0.844,0.848,0.847,0.842,0.84,0.844,0.853,0.861,0.868,0.871,0.87,0.864,0.852,0.842,0.837,0.841,0.846,0.85,0.852,0.853,0.857,0.861,0.864,0.867,0.868,0.866,0.86,0.849,0.841,0.839,0.844,0.849,0.846,0.837,0.829,0.829,0.837,0.848,0.858,0.865,0.87,0.871,0.868,0.863,0.857,0.853,0.848,0.839,0.828,0.822,0.827,0.84,0.853,0.859,0.86,0.859,0.859,0.86,0.861,0.865,0.872,0.878,0.877,0.867,0.853,0.843,0.842,0.848,0.854,0.859,0.86,0.857,0.851,0.844,0.84,0.842,0.849,0.855,0.857,0.856,0.855,0.858,0.862,0.864,0.863,0.861,0.856,0.848,0.838,0.833,0.835,0.847,0.857,0.86,0.853,0.844,0.839,0.842,0.848,0.854,0.858,0.859,0.858,0.857,0.858,0.863,0.871,0.877,0.874,0.864,0.854,0.852,0.859,0.869,0.877,0.878,0.875,0.87,0.863,0.855,0.849,0.848,0.85,0.852,0.85,0.843,0.838,0.838,0.845,0.855,0.864,0.869,0.868,0.86,0.847,0.839,0.84,0.851,0.862,0.864,0.859,0.852,0.851,0.856,0.862,0.866,0.869,0.868,0.864,0.856,0.85,0.848,0.852,0.854,0.85,0.84,0.831,0.831,0.841,0.855,0.868,0.874,0.875,0.872,0.867,0.861,0.855,0.852,0.848,0.842,0.834,0.829,0.832,0.844,0.857,0.866,0.869,0.868,0.864,0.858,0.851,0.846,0.844,0.847,0.849,0.847,0.843,0.841,0.845,0.854,0.864,0.871,0.873,0.87,0.86,0.846,0.835,0.834,0.84,0.848,0.852,0.851,0.851,0.853,0.858,0.863,0.864,0.863,0.859,0.851,0.841,0.834,0.835,0.845,0.857,0.865,0.863,0.849,0.82,0.783,0.741,0.705,0.679,0.668,0.669,0.679,0.687,0.686,0.664,0.613,0.534,0.439,0.348,0.279,0.238,0.217,0.206,0.199,0.191,0.183,0.174,0.166,0.157,0.15,0.144,0.137,0.131,0.124,0.117,0.112,0.107,0.103,0.1,0.096,0.093,0.091,0.089,0.087,0.085,0.083,0.081,0.079,0.078,0.077,0.075,0.073,0.071,0.071,0.071,0.071,0.07,0.068,0.066,0.065,0.066,0.069,0.072,0.075,0.077,0.078,0.076,0.074,0.071,0.069,0.069,0.069,0.069,0.069,0.069,0.068,0.067,0.064,0.061,0.058,0.055,0.054,0.053,0.053,0.052,0.05,0.047,0.043,0.039,0.035,0.031,0.028,0.025,0.022,0.02,0.017,0.015,0.013,0.012,0.01,0.009,0.008,0.007,0.006,0.005,0.004,0.004,0.003,0.003,0.002,0.002,0.002,0.002,0.002,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0.001,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]