1516X Push Back 1.0
1516X's robot code for the 2025-2026 VEX Robotics Competition
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paths.cpp
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1#include <string>
2#include "paths.h"
3
4
5const std::string right_7_1 = R"(
6P = {(-1.194, -0.419, 0.000),(-1.194, -0.419, 0.000),(-1.194, -0.419, 0.000),(-1.193, -0.419, 0.001),(-1.192, -0.419, 0.001),(-1.192, -0.419, 0.001),(-1.191, -0.419, 0.002),(-1.190, -0.419, 0.002),(-1.189, -0.419, 0.003),(-1.187, -0.419, 0.003),(-1.186, -0.419, 0.004),(-1.184, -0.419, 0.005),(-1.182, -0.419, 0.005),(-1.180, -0.419, 0.006),(-1.178, -0.419, 0.007),(-1.176, -0.419, 0.007),(-1.174, -0.419, 0.008),(-1.171, -0.419, 0.008),(-1.168, -0.419, 0.009),(-1.166, -0.419, 0.009),(-1.163, -0.419, 0.009),(-1.159, -0.419, 0.010),(-1.156, -0.419, 0.010),(-1.153, -0.419, 0.010),(-1.149, -0.419, 0.010),(-1.145, -0.419, 0.010),(-1.141, -0.419, 0.010),(-1.137, -0.419, 0.010),(-1.133, -0.419, 0.010),(-1.129, -0.418, 0.009),(-1.124, -0.418, 0.009),(-1.120, -0.418, 0.008),(-1.115, -0.418, 0.008),(-1.110, -0.418, 0.007),(-1.105, -0.418, 0.006),(-1.100, -0.418, 0.005),(-1.094, -0.418, 0.004),(-1.089, -0.418, 0.003),(-1.083, -0.418, 0.002),(-1.077, -0.418, 0.001),(-1.071, -0.418, -0.001),(-1.065, -0.418, -0.002),(-1.059, -0.418, -0.004),(-1.052, -0.418, -0.006),(-1.046, -0.418, -0.007),(-1.039, -0.418, -0.009),(-1.032, -0.418, -0.011),(-1.025, -0.419, -0.014),(-1.018, -0.419, -0.016),(-1.010, -0.419, -0.019),(-1.003, -0.419, -0.021),(-0.995, -0.419, -0.024),(-0.987, -0.419, -0.027),(-0.979, -0.419, -0.030),(-0.971, -0.420, -0.034),(-0.963, -0.420, -0.037),(-0.955, -0.420, -0.041),(-0.946, -0.421, -0.045),(-0.937, -0.421, -0.049),(-0.929, -0.422, -0.053),(-0.920, -0.422, -0.058),(-0.910, -0.423, -0.063),(-0.901, -0.423, -0.068),(-0.892, -0.424, -0.074),(-0.882, -0.425, -0.079),(-0.872, -0.425, -0.086),(-0.863, -0.426, -0.092),(-0.853, -0.427, -0.099),(-0.843, -0.428, -0.107),(-0.833, -0.429, -0.115),(-0.823, -0.431, -0.123),(-0.813, -0.432, -0.131),(-0.804, -0.433, -0.140),(-0.794, -0.435, -0.150),(-0.785, -0.436, -0.160),(-0.775, -0.438, -0.170),(-0.766, -0.439, -0.181),(-0.757, -0.441, -0.193),(-0.748, -0.443, -0.205),(-0.739, -0.445, -0.218),(-0.730, -0.447, -0.232),(-0.721, -0.449, -0.247),(-0.713, -0.451, -0.262),(-0.704, -0.453, -0.279),(-0.696, -0.456, -0.296),(-0.688, -0.458, -0.314),(-0.680, -0.461, -0.334),(-0.672, -0.464, -0.355),(-0.665, -0.467, -0.377),(-0.658, -0.470, -0.400),(-0.651, -0.473, -0.425),(-0.644, -0.476, -0.452),(-0.637, -0.479, -0.480),(-0.631, -0.483, -0.511),(-0.625, -0.486, -0.543),(-0.619, -0.490, -0.578),(-0.613, -0.494, -0.615),(-0.608, -0.498, -0.654),(-0.603, -0.502, -0.696),(-0.598, -0.506, -0.740),(-0.593, -0.510, -0.787),(-0.589, -0.515, -0.836),(-0.585, -0.519, -0.887),(-0.582, -0.524, -0.939),(-0.579, -0.528, -0.994),(-0.576, -0.533, -1.048),(-0.573, -0.537, -1.104),(-0.571, -0.542, -1.159),(-0.569, -0.547, -1.213),(-0.568, -0.551, -1.267),(-0.567, -0.556, -1.318),(-0.566, -0.558, -1.342),(-0.566, -0.558, -1.272),(-0.565, -0.562, -1.409),(-0.565, -0.566, -1.509),(-0.564, -0.571, -1.584),(-0.565, -0.575, -1.642),(-0.565, -0.578, -1.688),(-0.566, -0.582, -1.728),(-0.566, -0.586, -1.763),(-0.567, -0.590, -1.794),(-0.568, -0.595, -1.822),(-0.569, -0.599, -1.847),(-0.571, -0.604, -1.870),(-0.572, -0.608, -1.891),(-0.574, -0.613, -1.910),(-0.576, -0.618, -1.927),(-0.577, -0.623, -1.944),(-0.579, -0.628, -1.959),(-0.582, -0.633, -1.973),(-0.584, -0.638, -1.986),(-0.586, -0.643, -1.999),(-0.589, -0.649, -2.010),(-0.591, -0.655, -2.021),(-0.594, -0.660, -2.032),(-0.597, -0.666, -2.042),(-0.600, -0.672, -2.052),(-0.603, -0.678, -2.061),(-0.607, -0.684, -2.070),(-0.610, -0.690, -2.078),(-0.614, -0.697, -2.087),(-0.617, -0.703, -2.094),(-0.621, -0.710, -2.102),(-0.625, -0.716, -2.110),(-0.629, -0.723, -2.117),(-0.633, -0.730, -2.124),(-0.638, -0.737, -2.131),(-0.642, -0.744, -2.138),(-0.647, -0.751, -2.145),(-0.651, -0.758, -2.151),(-0.656, -0.765, -2.158),(-0.661, -0.773, -2.164),(-0.666, -0.780, -2.170),(-0.671, -0.788, -2.177),(-0.677, -0.795, -2.183),(-0.682, -0.803, -2.189),(-0.688, -0.811, -2.195),(-0.693, -0.819, -2.202),(-0.699, -0.827, -2.208),(-0.705, -0.835, -2.214),(-0.711, -0.843, -2.220),(-0.718, -0.851, -2.226),(-0.724, -0.859, -2.232),(-0.730, -0.867, -2.238),(-0.736, -0.875, -2.245),(-0.743, -0.883, -2.251),(-0.749, -0.891, -2.257),(-0.756, -0.898, -2.263),(-0.762, -0.906, -2.269),(-0.769, -0.914, -2.275),(-0.775, -0.922, -2.281),(-0.782, -0.929, -2.287),(-0.788, -0.937, -2.294),(-0.795, -0.944, -2.300),(-0.802, -0.952, -2.306),(-0.809, -0.959, -2.313),(-0.815, -0.967, -2.320),(-0.822, -0.974, -2.326),(-0.829, -0.981, -2.333),(-0.836, -0.989, -2.340),(-0.843, -0.996, -2.348),(-0.850, -1.003, -2.355),(-0.857, -1.010, -2.362),(-0.864, -1.017, -2.370),(-0.871, -1.024, -2.378),(-0.878, -1.030, -2.386),(-0.886, -1.037, -2.395),(-0.893, -1.044, -2.403),(-0.900, -1.050, -2.412),(-0.907, -1.057, -2.421),(-0.915, -1.063, -2.431),(-0.922, -1.069, -2.441),(-0.929, -1.075, -2.451),(-0.937, -1.081, -2.461),(-0.944, -1.087, -2.472),(-0.951, -1.093, -2.484),(-0.959, -1.099, -2.496),(-0.966, -1.104, -2.508),(-0.974, -1.110, -2.521),(-0.981, -1.115, -2.534),(-0.988, -1.120, -2.548),(-0.996, -1.125, -2.563),(-1.003, -1.130, -2.579),(-1.011, -1.134, -2.595),(-1.018, -1.139, -2.612),(-1.026, -1.143, -2.630),(-1.033, -1.147, -2.648),(-1.040, -1.151, -2.668),(-1.047, -1.154, -2.688),(-1.055, -1.158, -2.710),(-1.062, -1.161, -2.733),(-1.069, -1.164, -2.757),(-1.076, -1.167, -2.782),(-1.083, -1.169, -2.808),(-1.090, -1.171, -2.836),(-1.096, -1.174, -2.865),(-1.103, -1.175, -2.895),(-1.110, -1.177, -2.927),(-1.116, -1.178, -2.960),(-1.123, -1.179, -2.995),(-1.129, -1.180, -3.032),(-1.135, -1.181, -3.069),(-1.141, -1.181, -3.108),(-1.146, -1.181, 3.142),(-1.146, -1.181, 3.142),(-1.152, -1.181, 3.142),(-1.158, -1.181, 3.142),(-1.165, -1.181, 3.142),(-1.171, -1.181, 3.142),(-1.178, -1.181, 3.142),(-1.184, -1.181, 3.142),(-1.191, -1.181, 3.142),(-1.197, -1.181, 3.142),(-1.203, -1.181, 3.142),(-1.209, -1.181, 3.142),(-1.215, -1.181, 3.142),(-1.220, -1.181, 3.142),(-1.226, -1.181, 3.142),(-1.231, -1.181, 3.142),(-1.236, -1.181, 3.142),(-1.242, -1.181, 3.142),(-1.246, -1.181, 3.142),(-1.251, -1.181, 3.142),(-1.256, -1.181, 3.142),(-1.260, -1.181, 3.142),(-1.265, -1.181, 3.142),(-1.269, -1.181, 3.142),(-1.273, -1.181, 3.142),(-1.277, -1.181, 3.142),(-1.280, -1.181, 3.142),(-1.284, -1.181, 3.142),(-1.287, -1.181, 3.142),(-1.291, -1.181, 3.142),(-1.294, -1.181, 3.142),(-1.297, -1.181, 3.142),(-1.299, -1.181, 3.142),(-1.302, -1.181, 3.142),(-1.305, -1.181, 3.142),(-1.307, -1.181, 3.142),(-1.309, -1.181, 3.142),(-1.311, -1.181, 3.142),(-1.313, -1.181, 3.142),(-1.315, -1.181, 3.142),(-1.316, -1.181, 3.142),(-1.318, -1.181, 3.142),(-1.319, -1.181, 3.142),(-1.320, -1.181, 3.142),(-1.321, -1.181, 3.142)};
7V = {(0.000, 0.000),(0.015, 0.009),(0.030, 0.017),(0.045, 0.026),(0.060, 0.033),(0.075, 0.040),(0.090, 0.046),(0.105, 0.051),(0.120, 0.055),(0.135, 0.058),(0.150, 0.060),(0.165, 0.061),(0.180, 0.061),(0.195, 0.060),(0.210, 0.058),(0.225, 0.055),(0.240, 0.051),(0.255, 0.047),(0.270, 0.042),(0.285, 0.037),(0.300, 0.031),(0.315, 0.024),(0.330, 0.018),(0.345, 0.010),(0.360, 0.003),(0.375, -0.005),(0.390, -0.013),(0.405, -0.021),(0.420, -0.029),(0.435, -0.038),(0.450, -0.047),(0.465, -0.056),(0.480, -0.065),(0.495, -0.074),(0.510, -0.083),(0.525, -0.093),(0.540, -0.103),(0.555, -0.112),(0.570, -0.123),(0.585, -0.133),(0.600, -0.144),(0.615, -0.155),(0.630, -0.166),(0.645, -0.177),(0.660, -0.189),(0.675, -0.202),(0.690, -0.214),(0.705, -0.228),(0.720, -0.241),(0.735, -0.256),(0.750, -0.271),(0.765, -0.286),(0.780, -0.303),(0.795, -0.320),(0.810, -0.338),(0.825, -0.358),(0.840, -0.378),(0.855, -0.400),(0.870, -0.423),(0.885, -0.448),(0.900, -0.475),(0.915, -0.503),(0.930, -0.534),(0.945, -0.567),(0.960, -0.603),(0.975, -0.642),(0.990, -0.684),(1.000, -0.727),(0.995, -0.762),(0.991, -0.799),(0.985, -0.838),(0.980, -0.880),(0.974, -0.926),(0.967, -0.974),(0.960, -1.026),(0.953, -1.081),(0.945, -1.140),(0.937, -1.204),(0.928, -1.273),(0.918, -1.346),(0.908, -1.425),(0.897, -1.510),(0.885, -1.601),(0.872, -1.698),(0.859, -1.802),(0.844, -1.912),(0.829, -2.031),(0.814, -2.159),(0.799, -2.298),(0.784, -2.449),(0.769, -2.611),(0.754, -2.787),(0.739, -2.975),(0.724, -3.177),(0.709, -3.392),(0.694, -3.619),(0.679, -3.856),(0.664, -4.101),(0.649, -4.350),(0.634, -4.597),(0.619, -4.836),(0.604, -5.058),(0.589, -5.255),(0.574, -5.416),(0.559, -5.534),(0.544, -5.602),(0.529, -5.613),(0.514, -5.567),(0.499, -5.466),(0.484, -5.315),(0.469, -5.121),(0.454, -4.931),(0.454, -16.359),(0.439, -11.822),(0.424, -8.739),(0.409, -6.658),(0.394, -5.220),(0.379, -4.196),(0.394, -3.681),(0.409, -3.255),(0.424, -2.901),(0.439, -2.604),(0.454, -2.353),(0.469, -2.140),(0.484, -1.957),(0.499, -1.799),(0.514, -1.663),(0.529, -1.543),(0.544, -1.439),(0.559, -1.346),(0.574, -1.265),(0.589, -1.192),(0.604, -1.128),(0.619, -1.070),(0.634, -1.018),(0.649, -0.972),(0.664, -0.930),(0.679, -0.892),(0.694, -0.859),(0.709, -0.828),(0.724, -0.800),(0.739, -0.775),(0.754, -0.753),(0.769, -0.732),(0.784, -0.714),(0.799, -0.698),(0.814, -0.683),(0.829, -0.670),(0.844, -0.659),(0.859, -0.649),(0.874, -0.640),(0.889, -0.633),(0.904, -0.627),(0.919, -0.622),(0.934, -0.619),(0.949, -0.616),(0.964, -0.615),(0.979, -0.615),(0.994, -0.616),(1.009, -0.618),(1.011, -0.613),(1.011, -0.609),(1.012, -0.606),(1.012, -0.605),(1.013, -0.604),(1.013, -0.604),(1.013, -0.606),(1.013, -0.608),(1.012, -0.611),(1.012, -0.615),(1.011, -0.620),(1.010, -0.627),(1.010, -0.634),(1.009, -0.642),(1.007, -0.651),(1.006, -0.661),(1.005, -0.672),(1.003, -0.684),(1.001, -0.697),(0.999, -0.712),(0.997, -0.727),(0.995, -0.744),(0.993, -0.762),(0.990, -0.782),(0.987, -0.803),(0.984, -0.826),(0.981, -0.851),(0.978, -0.877),(0.974, -0.905),(0.970, -0.935),(0.965, -0.968),(0.961, -1.002),(0.956, -1.040),(0.951, -1.079),(0.945, -1.122),(0.939, -1.168),(0.932, -1.217),(0.926, -1.269),(0.918, -1.325),(0.910, -1.385),(0.902, -1.449),(0.893, -1.517),(0.883, -1.589),(0.873, -1.667),(0.862, -1.749),(0.851, -1.836),(0.838, -1.929),(0.826, -2.027),(0.812, -2.129),(0.798, -2.237),(0.783, -2.349),(0.768, -2.468),(0.753, -2.593),(0.738, -2.725),(0.723, -2.862),(0.708, -3.004),(0.693, -3.151),(0.678, -3.300),(0.663, -3.451),(0.648, -3.601),(0.633, -3.747),(0.618, -3.886),(0.603, -4.016),(0.588, -4.095),(0.588, -0.000),(0.603, -0.000),(0.618, -0.000),(0.633, -0.000),(0.648, -0.000),(0.663, -0.000),(0.656, -0.000),(0.641, -0.000),(0.626, -0.000),(0.611, -0.000),(0.596, -0.000),(0.581, -0.000),(0.566, -0.000),(0.551, -0.000),(0.536, -0.000),(0.521, -0.000),(0.506, -0.000),(0.491, -0.000),(0.476, -0.000),(0.461, -0.000),(0.446, -0.000),(0.431, -0.000),(0.416, -0.000),(0.401, -0.000),(0.386, -0.000),(0.371, -0.000),(0.356, -0.000),(0.341, -0.000),(0.326, -0.000),(0.311, -0.000),(0.296, -0.000),(0.281, -0.000),(0.266, 0.000),(0.251, 0.000),(0.236, 0.000),(0.221, 0.000),(0.206, 0.000),(0.191, 0.000),(0.176, 0.000),(0.161, 0.000),(0.146, 0.000),(0.131, 0.000),(0.116, 0.000),(0.101, 0.000)};
8)";
9
10
11const std::string awp_1 = R"(
12P = {(-1.262, -0.356, -1.571),(-1.262, -0.356, -1.570),(-1.262, -0.356, -1.569),(-1.262, -0.357, -1.567),(-1.262, -0.357, -1.564),(-1.262, -0.358, -1.561),(-1.262, -0.359, -1.558),(-1.262, -0.360, -1.553),(-1.262, -0.361, -1.548),(-1.262, -0.363, -1.543),(-1.262, -0.364, -1.537),(-1.262, -0.366, -1.531),(-1.262, -0.368, -1.524),(-1.262, -0.370, -1.516),(-1.261, -0.372, -1.509),(-1.261, -0.374, -1.501),(-1.261, -0.376, -1.492),(-1.261, -0.379, -1.484),(-1.261, -0.382, -1.475),(-1.260, -0.384, -1.465),(-1.260, -0.387, -1.456),(-1.260, -0.391, -1.446),(-1.259, -0.394, -1.437),(-1.259, -0.397, -1.427),(-1.258, -0.401, -1.417),(-1.258, -0.405, -1.407),(-1.257, -0.408, -1.397),(-1.256, -0.412, -1.387),(-1.256, -0.416, -1.377),(-1.255, -0.421, -1.368),(-1.254, -0.425, -1.358),(-1.253, -0.430, -1.348),(-1.252, -0.434, -1.339),(-1.250, -0.439, -1.329),(-1.249, -0.444, -1.320),(-1.248, -0.449, -1.311),(-1.247, -0.454, -1.302),(-1.245, -0.460, -1.293),(-1.243, -0.465, -1.285),(-1.242, -0.471, -1.276),(-1.240, -0.477, -1.268),(-1.238, -0.482, -1.260),(-1.236, -0.488, -1.252),(-1.234, -0.495, -1.245),(-1.232, -0.501, -1.237),(-1.230, -0.507, -1.230),(-1.227, -0.514, -1.223),(-1.225, -0.520, -1.217),(-1.223, -0.527, -1.210),(-1.220, -0.534, -1.204),(-1.217, -0.541, -1.198),(-1.214, -0.548, -1.193),(-1.211, -0.555, -1.187),(-1.208, -0.563, -1.182),(-1.205, -0.570, -1.177),(-1.202, -0.578, -1.172),(-1.199, -0.585, -1.168),(-1.196, -0.593, -1.164),(-1.192, -0.601, -1.160),(-1.189, -0.609, -1.156),(-1.185, -0.618, -1.152),(-1.181, -0.626, -1.149),(-1.177, -0.634, -1.146),(-1.173, -0.643, -1.144),(-1.169, -0.652, -1.141),(-1.165, -0.661, -1.139),(-1.161, -0.670, -1.137),(-1.157, -0.679, -1.136),(-1.153, -0.688, -1.134),(-1.148, -0.697, -1.133),(-1.144, -0.707, -1.133),(-1.139, -0.717, -1.132),(-1.135, -0.726, -1.132),(-1.130, -0.736, -1.133),(-1.125, -0.746, -1.133),(-1.121, -0.756, -1.134),(-1.116, -0.767, -1.136),(-1.111, -0.777, -1.138),(-1.106, -0.788, -1.141),(-1.101, -0.799, -1.144),(-1.096, -0.810, -1.147),(-1.091, -0.821, -1.151),(-1.086, -0.832, -1.156),(-1.081, -0.843, -1.162),(-1.076, -0.855, -1.168),(-1.071, -0.866, -1.175),(-1.067, -0.878, -1.183),(-1.062, -0.889, -1.192),(-1.058, -0.901, -1.202),(-1.053, -0.912, -1.213),(-1.049, -0.923, -1.225),(-1.045, -0.934, -1.238),(-1.042, -0.945, -1.252),(-1.038, -0.956, -1.267),(-1.035, -0.967, -1.285),(-1.032, -0.977, -1.304),(-1.029, -0.988, -1.324),(-1.027, -0.999, -1.347),(-1.024, -1.009, -1.373),(-1.022, -1.019, -1.401),(-1.021, -1.030, -1.432),(-1.020, -1.040, -1.467),(-1.019, -1.050, -1.506),(-1.018, -1.060, -1.549),(-1.018, -1.070, -1.597),(-1.019, -1.079, -1.650),(-1.020, -1.089, -1.710),(-1.021, -1.098, -1.775),(-1.024, -1.107, -1.847),(-1.026, -1.115, -1.925),(-1.030, -1.124, -2.007),(-1.034, -1.131, -2.093),(-1.038, -1.138, -2.180),(-1.043, -1.145, -2.267),(-1.049, -1.151, -2.351),(-1.055, -1.157, -2.430),(-1.061, -1.162, -2.504),(-1.068, -1.166, -2.573),(-1.074, -1.170, -2.634),(-1.081, -1.174, -2.690),(-1.088, -1.177, -2.741),(-1.094, -1.179, -2.786),(-1.101, -1.182, -2.827),(-1.108, -1.184, -2.866),(-1.116, -1.186, -2.902),(-1.123, -1.188, -2.935),(-1.131, -1.189, -2.967),(-1.139, -1.190, -2.996),(-1.147, -1.191, -3.023),(-1.155, -1.192, -3.048),(-1.164, -1.193, -3.071),(-1.172, -1.193, -3.093),(-1.180, -1.194, -3.112),(-1.188, -1.194, -3.130),(-1.194, -1.194, 3.142),(-1.194, -1.194, 3.142),(-1.202, -1.194, 3.142),(-1.209, -1.194, 3.142),(-1.217, -1.194, 3.142),(-1.224, -1.194, 3.142),(-1.232, -1.194, 3.142),(-1.239, -1.194, 3.142),(-1.245, -1.194, 3.142),(-1.252, -1.194, 3.142),(-1.259, -1.194, 3.142),(-1.265, -1.194, 3.142),(-1.272, -1.194, 3.142),(-1.278, -1.194, 3.142),(-1.284, -1.194, 3.142),(-1.290, -1.194, 3.142),(-1.295, -1.194, 3.142),(-1.301, -1.194, 3.142),(-1.306, -1.194, 3.142),(-1.312, -1.194, 3.142),(-1.317, -1.194, 3.142),(-1.322, -1.194, 3.142),(-1.326, -1.194, 3.142),(-1.331, -1.194, 3.142),(-1.336, -1.194, 3.142),(-1.340, -1.194, 3.142),(-1.344, -1.194, 3.142),(-1.348, -1.194, 3.142),(-1.352, -1.194, 3.142),(-1.356, -1.194, 3.142),(-1.359, -1.194, 3.142),(-1.363, -1.194, 3.142),(-1.366, -1.194, 3.142),(-1.369, -1.194, 3.142),(-1.372, -1.194, 3.142),(-1.375, -1.194, 3.142),(-1.378, -1.194, 3.142),(-1.380, -1.194, 3.142),(-1.383, -1.194, 3.142),(-1.385, -1.194, 3.142),(-1.387, -1.194, 3.142),(-1.389, -1.194, 3.142),(-1.391, -1.194, 3.142),(-1.393, -1.194, 3.142),(-1.394, -1.194, 3.142),(-1.395, -1.194, 3.142),(-1.397, -1.194, 3.142),(-1.397, -1.194, 3.142)};
13V = {(0.000, 0.000),(0.015, 0.064),(0.030, 0.128),(0.045, 0.191),(0.060, 0.253),(0.075, 0.314),(0.090, 0.373),(0.105, 0.430),(0.120, 0.485),(0.135, 0.538),(0.150, 0.589),(0.165, 0.636),(0.180, 0.681),(0.195, 0.723),(0.210, 0.761),(0.225, 0.797),(0.240, 0.829),(0.255, 0.858),(0.270, 0.883),(0.285, 0.906),(0.300, 0.924),(0.315, 0.940),(0.330, 0.953),(0.345, 0.962),(0.360, 0.969),(0.375, 0.973),(0.390, 0.974),(0.405, 0.973),(0.420, 0.969),(0.435, 0.963),(0.450, 0.955),(0.465, 0.945),(0.480, 0.934),(0.495, 0.921),(0.510, 0.907),(0.525, 0.891),(0.540, 0.874),(0.555, 0.856),(0.570, 0.838),(0.585, 0.818),(0.600, 0.798),(0.615, 0.777),(0.630, 0.756),(0.645, 0.734),(0.660, 0.712),(0.675, 0.690),(0.690, 0.667),(0.705, 0.644),(0.720, 0.621),(0.735, 0.598),(0.750, 0.574),(0.765, 0.551),(0.780, 0.527),(0.795, 0.503),(0.810, 0.479),(0.825, 0.455),(0.840, 0.431),(0.855, 0.407),(0.870, 0.382),(0.885, 0.357),(0.900, 0.332),(0.915, 0.307),(0.930, 0.281),(0.945, 0.255),(0.960, 0.228),(0.975, 0.200),(0.990, 0.172),(1.005, 0.143),(1.020, 0.114),(1.035, 0.083),(1.050, 0.051),(1.065, 0.018),(1.080, -0.017),(1.095, -0.054),(1.110, -0.093),(1.125, -0.133),(1.140, -0.177),(1.155, -0.223),(1.170, -0.273),(1.185, -0.327),(1.200, -0.385),(1.215, -0.449),(1.230, -0.519),(1.245, -0.596),(1.260, -0.681),(1.252, -0.761),(1.241, -0.845),(1.229, -0.934),(1.216, -1.030),(1.203, -1.134),(1.188, -1.246),(1.173, -1.368),(1.158, -1.502),(1.143, -1.650),(1.128, -1.814),(1.113, -1.998),(1.098, -2.203),(1.083, -2.433),(1.068, -2.692),(1.053, -2.985),(1.038, -3.317),(1.023, -3.691),(1.008, -4.113),(0.993, -4.587),(0.978, -5.112),(0.963, -5.686),(0.948, -6.297),(0.933, -6.925),(0.918, -7.534),(0.903, -8.079),(0.888, -8.504),(0.873, -8.757),(0.858, -8.804),(0.843, -8.636),(0.828, -8.278),(0.813, -7.777),(0.798, -7.189),(0.783, -6.564),(0.768, -5.943),(0.753, -5.353),(0.738, -4.808),(0.723, -4.316),(0.725, -3.959),(0.740, -3.692),(0.755, -3.438),(0.770, -3.200),(0.785, -2.979),(0.800, -2.773),(0.815, -2.584),(0.830, -2.410),(0.845, -2.250),(0.837, -2.052),(0.822, -1.863),(0.807, -1.698),(0.792, -1.581),(0.780, 0.000),(0.780, 0.000),(0.765, 0.000),(0.750, 0.000),(0.735, 0.000),(0.720, 0.000),(0.705, 0.000),(0.690, 0.000),(0.675, 0.000),(0.660, 0.000),(0.645, 0.000),(0.630, 0.000),(0.615, 0.000),(0.600, 0.000),(0.585, 0.000),(0.570, 0.000),(0.555, 0.000),(0.540, 0.000),(0.525, 0.000),(0.510, 0.000),(0.495, 0.000),(0.480, 0.000),(0.465, 0.000),(0.450, 0.000),(0.435, 0.000),(0.420, 0.000),(0.405, 0.000),(0.390, 0.000),(0.375, 0.000),(0.360, 0.000),(0.345, 0.000),(0.330, 0.000),(0.315, 0.000),(0.300, 0.000),(0.285, 0.000),(0.270, 0.000),(0.255, 0.000),(0.240, 0.000),(0.225, 0.000),(0.210, 0.000),(0.195, 0.000),(0.180, 0.000),(0.165, 0.000),(0.150, 0.000),(0.135, 0.000),(0.120, 0.000),(0.105, 0.000)};
14)";
15
16const std::string awp_2 = R"(
17P = {(-0.693, -1.031, 1.403),(-0.693, -1.031, 1.403),(-0.693, -1.031, 1.403),(-0.693, -1.030, 1.404),(-0.693, -1.030, 1.404),(-0.693, -1.029, 1.404),(-0.692, -1.028, 1.405),(-0.692, -1.027, 1.406),(-0.692, -1.026, 1.406),(-0.692, -1.024, 1.407),(-0.692, -1.023, 1.408),(-0.691, -1.021, 1.409),(-0.691, -1.019, 1.410),(-0.691, -1.018, 1.411),(-0.690, -1.015, 1.412),(-0.690, -1.013, 1.413),(-0.690, -1.011, 1.415),(-0.689, -1.008, 1.416),(-0.689, -1.006, 1.418),(-0.688, -1.003, 1.419),(-0.688, -1.000, 1.421),(-0.688, -0.997, 1.422),(-0.687, -0.994, 1.424),(-0.687, -0.990, 1.426),(-0.686, -0.987, 1.428),(-0.686, -0.983, 1.430),(-0.685, -0.979, 1.432),(-0.684, -0.975, 1.434),(-0.684, -0.971, 1.436),(-0.683, -0.966, 1.438),(-0.683, -0.962, 1.440),(-0.682, -0.957, 1.442),(-0.681, -0.953, 1.445),(-0.681, -0.948, 1.447),(-0.680, -0.943, 1.449),(-0.680, -0.937, 1.452),(-0.679, -0.932, 1.454),(-0.678, -0.927, 1.456),(-0.678, -0.921, 1.459),(-0.677, -0.915, 1.461),(-0.676, -0.909, 1.464),(-0.676, -0.903, 1.467),(-0.675, -0.897, 1.469),(-0.674, -0.890, 1.472),(-0.674, -0.884, 1.474),(-0.673, -0.877, 1.477),(-0.673, -0.870, 1.480),(-0.672, -0.863, 1.483),(-0.671, -0.856, 1.485),(-0.671, -0.849, 1.488),(-0.670, -0.841, 1.491),(-0.669, -0.834, 1.494),(-0.669, -0.826, 1.496),(-0.668, -0.818, 1.499),(-0.668, -0.810, 1.502),(-0.667, -0.802, 1.505),(-0.667, -0.793, 1.508),(-0.666, -0.785, 1.511),(-0.666, -0.776, 1.513),(-0.665, -0.767, 1.516),(-0.665, -0.758, 1.519),(-0.664, -0.749, 1.522),(-0.664, -0.740, 1.525),(-0.663, -0.730, 1.528),(-0.663, -0.721, 1.531),(-0.662, -0.711, 1.534),(-0.662, -0.701, 1.537),(-0.662, -0.691, 1.540),(-0.662, -0.681, 1.542),(-0.661, -0.670, 1.545),(-0.661, -0.660, 1.548),(-0.661, -0.649, 1.551),(-0.661, -0.639, 1.554),(-0.660, -0.628, 1.557),(-0.660, -0.616, 1.560),(-0.660, -0.605, 1.563),(-0.660, -0.594, 1.565),(-0.660, -0.582, 1.568),(-0.660, -0.571, 1.570),(-0.660, -0.559, 1.571),(-0.660, -0.559, 1.571),(-0.660, -0.547, 1.571),(-0.660, -0.535, 1.571),(-0.660, -0.523, 1.571),(-0.660, -0.510, 1.571),(-0.660, -0.497, 1.571),(-0.660, -0.485, 1.571),(-0.660, -0.472, 1.571),(-0.660, -0.459, 1.571),(-0.660, -0.446, 1.571),(-0.660, -0.432, 1.571),(-0.660, -0.419, 1.571),(-0.660, -0.405, 1.571),(-0.660, -0.392, 1.571),(-0.660, -0.378, 1.571),(-0.660, -0.365, 1.571),(-0.660, -0.351, 1.571),(-0.660, -0.338, 1.571),(-0.660, -0.324, 1.571),(-0.660, -0.311, 1.571),(-0.660, -0.297, 1.571),(-0.660, -0.284, 1.571),(-0.660, -0.270, 1.571),(-0.660, -0.257, 1.571),(-0.660, -0.243, 1.571),(-0.660, -0.230, 1.571),(-0.660, -0.216, 1.571),(-0.660, -0.203, 1.571),(-0.660, -0.189, 1.571),(-0.660, -0.176, 1.571),(-0.660, -0.162, 1.571),(-0.660, -0.149, 1.571),(-0.660, -0.135, 1.571),(-0.660, -0.122, 1.571),(-0.660, -0.108, 1.571),(-0.660, -0.095, 1.571),(-0.660, -0.081, 1.571),(-0.660, -0.068, 1.571),(-0.660, -0.054, 1.571),(-0.660, -0.041, 1.571),(-0.660, -0.027, 1.571),(-0.660, -0.014, 1.571),(-0.660, -0.000, 1.571),(-0.660, 0.013, 1.571),(-0.660, 0.027, 1.571),(-0.660, 0.040, 1.571),(-0.660, 0.054, 1.571),(-0.660, 0.067, 1.571),(-0.660, 0.081, 1.571),(-0.660, 0.094, 1.571),(-0.660, 0.108, 1.571),(-0.660, 0.121, 1.571),(-0.660, 0.135, 1.571),(-0.660, 0.148, 1.571),(-0.660, 0.162, 1.571),(-0.660, 0.175, 1.571),(-0.660, 0.189, 1.571),(-0.660, 0.202, 1.571),(-0.660, 0.216, 1.571),(-0.660, 0.229, 1.571),(-0.660, 0.243, 1.571),(-0.660, 0.256, 1.571),(-0.660, 0.270, 1.571),(-0.660, 0.283, 1.571),(-0.660, 0.297, 1.571),(-0.660, 0.310, 1.571),(-0.660, 0.324, 1.571),(-0.660, 0.337, 1.571),(-0.660, 0.351, 1.571),(-0.660, 0.364, 1.571),(-0.660, 0.378, 1.571),(-0.660, 0.391, 1.571),(-0.660, 0.405, 1.571),(-0.660, 0.418, 1.571),(-0.660, 0.432, 1.571),(-0.660, 0.445, 1.571),(-0.660, 0.457, 1.571),(-0.660, 0.457, 1.571),(-0.660, 0.470, 1.590),(-0.661, 0.484, 1.609),(-0.661, 0.497, 1.630),(-0.662, 0.509, 1.650),(-0.663, 0.522, 1.672),(-0.665, 0.535, 1.693),(-0.666, 0.547, 1.715),(-0.668, 0.559, 1.738),(-0.670, 0.571, 1.760),(-0.673, 0.583, 1.783),(-0.675, 0.594, 1.806),(-0.678, 0.606, 1.828),(-0.681, 0.617, 1.851),(-0.685, 0.628, 1.873),(-0.688, 0.639, 1.895),(-0.692, 0.649, 1.916),(-0.695, 0.659, 1.937),(-0.699, 0.669, 1.957),(-0.704, 0.679, 1.977),(-0.708, 0.689, 1.997),(-0.712, 0.699, 2.016),(-0.717, 0.708, 2.035),(-0.722, 0.718, 2.054),(-0.727, 0.727, 2.072),(-0.732, 0.737, 2.089),(-0.738, 0.746, 2.107),(-0.744, 0.756, 2.123),(-0.750, 0.765, 2.140),(-0.756, 0.775, 2.155),(-0.762, 0.784, 2.171),(-0.768, 0.793, 2.185),(-0.775, 0.803, 2.199),(-0.782, 0.812, 2.213),(-0.789, 0.821, 2.226),(-0.796, 0.830, 2.239),(-0.803, 0.839, 2.251),(-0.811, 0.848, 2.262),(-0.818, 0.858, 2.273),(-0.826, 0.867, 2.284),(-0.834, 0.876, 2.294),(-0.842, 0.885, 2.303),(-0.850, 0.894, 2.312),(-0.858, 0.902, 2.320),(-0.866, 0.911, 2.328),(-0.874, 0.919, 2.335),(-0.882, 0.927, 2.342),(-0.890, 0.935, 2.349),(-0.898, 0.943, 2.355),(-0.905, 0.951, 2.360),(-0.913, 0.958, 2.365),(-0.921, 0.966, 2.370),(-0.928, 0.973, 2.375),(-0.936, 0.980, 2.379),(-0.943, 0.987, 2.383),(-0.950, 0.994, 2.387),(-0.957, 1.001, 2.390),(-0.965, 1.008, 2.394),(-0.972, 1.014, 2.397),(-0.979, 1.020, 2.400),(-0.985, 1.027, 2.403),(-0.992, 1.033, 2.405),(-0.999, 1.039, 2.408),(-1.005, 1.045, 2.410),(-1.012, 1.051, 2.412),(-1.018, 1.056, 2.414),(-1.024, 1.062, 2.416),(-1.031, 1.067, 2.418),(-1.037, 1.073, 2.420),(-1.043, 1.078, 2.421),(-1.048, 1.083, 2.423),(-1.054, 1.088, 2.424),(-1.060, 1.093, 2.425),(-1.065, 1.098, 2.427),(-1.071, 1.102, 2.428),(-1.076, 1.107, 2.429),(-1.081, 1.111, 2.430),(-1.086, 1.116, 2.431),(-1.091, 1.120, 2.432),(-1.096, 1.124, 2.433),(-1.101, 1.128, 2.434),(-1.106, 1.132, 2.434),(-1.110, 1.136, 2.435),(-1.115, 1.140, 2.436),(-1.119, 1.144, 2.436),(-1.123, 1.147, 2.437),(-1.127, 1.151, 2.438),(-1.131, 1.154, 2.438),(-1.135, 1.157, 2.439),(-1.139, 1.161, 2.439),(-1.142, 1.164, 2.440),(-1.146, 1.167, 2.440),(-1.149, 1.169, 2.440),(-1.153, 1.172, 2.441),(-1.156, 1.175, 2.441),(-1.159, 1.178, 2.441),(-1.162, 1.180, 2.442),(-1.165, 1.182, 2.442),(-1.167, 1.185, 2.442),(-1.170, 1.187, 2.442),(-1.173, 1.189, 2.443),(-1.175, 1.191, 2.443),(-1.177, 1.193, 2.443),(-1.179, 1.195, 2.443),(-1.181, 1.196, 2.443),(-1.183, 1.198, 2.444),(-1.185, 1.200, 2.444),(-1.187, 1.201, 2.444),(-1.188, 1.202, 2.444),(-1.190, 1.204, 2.444),(-1.191, 1.205, 2.444),(-1.193, 1.206, 2.444),(-1.194, 1.207, 2.444),(-1.194, 1.207, 2.444)};
18V = {(0.000, 0.000),(0.015, 0.009),(0.030, 0.017),(0.045, 0.026),(0.060, 0.035),(0.075, 0.043),(0.090, 0.052),(0.105, 0.060),(0.120, 0.069),(0.135, 0.077),(0.150, 0.085),(0.165, 0.093),(0.180, 0.101),(0.195, 0.109),(0.210, 0.117),(0.225, 0.124),(0.240, 0.132),(0.255, 0.139),(0.270, 0.146),(0.285, 0.153),(0.300, 0.160),(0.315, 0.166),(0.330, 0.173),(0.345, 0.179),(0.360, 0.185),(0.375, 0.190),(0.390, 0.196),(0.405, 0.201),(0.420, 0.206),(0.435, 0.211),(0.450, 0.216),(0.465, 0.221),(0.480, 0.225),(0.495, 0.229),(0.510, 0.233),(0.525, 0.237),(0.540, 0.241),(0.555, 0.244),(0.570, 0.247),(0.585, 0.251),(0.600, 0.254),(0.615, 0.256),(0.630, 0.259),(0.645, 0.261),(0.660, 0.264),(0.675, 0.266),(0.690, 0.268),(0.705, 0.270),(0.720, 0.272),(0.735, 0.273),(0.750, 0.275),(0.765, 0.276),(0.780, 0.278),(0.795, 0.279),(0.810, 0.280),(0.825, 0.281),(0.840, 0.282),(0.855, 0.283),(0.870, 0.284),(0.885, 0.285),(0.900, 0.286),(0.915, 0.287),(0.930, 0.287),(0.945, 0.288),(0.960, 0.289),(0.975, 0.289),(0.990, 0.290),(1.005, 0.290),(1.020, 0.291),(1.035, 0.291),(1.050, 0.291),(1.065, 0.290),(1.080, 0.289),(1.095, 0.286),(1.110, 0.282),(1.125, 0.274),(1.140, 0.258),(1.155, 0.228),(1.170, 0.163),(1.185, -0.000),(1.185, 0.000),(1.200, 0.000),(1.215, 0.000),(1.230, 0.000),(1.245, 0.000),(1.260, 0.000),(1.275, 0.000),(1.290, 0.000),(1.305, 0.000),(1.320, 0.000),(1.335, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 1.879),(1.335, 1.944),(1.320, 2.006),(1.305, 2.063),(1.290, 2.116),(1.275, 2.162),(1.260, 2.201),(1.245, 2.233),(1.230, 2.257),(1.215, 2.272),(1.200, 2.278),(1.185, 2.275),(1.170, 2.264),(1.155, 2.244),(1.140, 2.215),(1.125, 2.179),(1.110, 2.136),(1.095, 2.087),(1.080, 2.033),(1.065, 1.974),(1.065, 1.939),(1.069, 1.906),(1.073, 1.869),(1.079, 1.830),(1.084, 1.787),(1.090, 1.742),(1.097, 1.695),(1.104, 1.646),(1.111, 1.595),(1.118, 1.543),(1.126, 1.491),(1.133, 1.437),(1.141, 1.383),(1.149, 1.330),(1.157, 1.276),(1.164, 1.223),(1.172, 1.171),(1.180, 1.119),(1.187, 1.069),(1.195, 1.019),(1.202, 0.971),(1.209, 0.925),(1.197, 0.866),(1.182, 0.810),(1.167, 0.757),(1.152, 0.708),(1.137, 0.663),(1.122, 0.620),(1.107, 0.580),(1.092, 0.543),(1.077, 0.509),(1.062, 0.477),(1.047, 0.447),(1.032, 0.419),(1.017, 0.393),(1.002, 0.369),(0.987, 0.346),(0.972, 0.325),(0.957, 0.305),(0.942, 0.287),(0.927, 0.270),(0.912, 0.253),(0.897, 0.238),(0.882, 0.224),(0.867, 0.211),(0.852, 0.198),(0.837, 0.187),(0.822, 0.176),(0.807, 0.165),(0.792, 0.156),(0.777, 0.147),(0.762, 0.138),(0.747, 0.130),(0.732, 0.122),(0.717, 0.115),(0.702, 0.109),(0.687, 0.102),(0.672, 0.096),(0.657, 0.091),(0.642, 0.086),(0.627, 0.081),(0.612, 0.076),(0.597, 0.071),(0.582, 0.067),(0.567, 0.063),(0.552, 0.060),(0.537, 0.056),(0.522, 0.053),(0.507, 0.050),(0.492, 0.047),(0.477, 0.044),(0.462, 0.041),(0.447, 0.039),(0.432, 0.037),(0.417, 0.034),(0.402, 0.032),(0.387, 0.030),(0.372, 0.028),(0.357, 0.026),(0.342, 0.025),(0.327, 0.023),(0.312, 0.022),(0.297, 0.020),(0.282, 0.019),(0.267, 0.017),(0.252, 0.016),(0.237, 0.015),(0.222, 0.014),(0.207, 0.013),(0.192, 0.011),(0.177, 0.010),(0.162, 0.009),(0.147, 0.008),(0.132, 0.008)};
19)";
20/*
21const std::string skills_1 = R"(
22P = {(-0.521, -0.521, 1.973),(-0.521, -0.521, 1.973),(-0.521, -0.521, 1.972),(-0.521, -0.520, 1.972),(-0.522, -0.520, 1.971),(-0.522, -0.519, 1.969),(-0.522, -0.518, 1.968),(-0.523, -0.517, 1.966),(-0.523, -0.516, 1.965),(-0.524, -0.515, 1.962),(-0.524, -0.513, 1.960),(-0.525, -0.512, 1.958),(-0.525, -0.510, 1.955),(-0.526, -0.508, 1.952),(-0.527, -0.506, 1.948),(-0.528, -0.504, 1.945),(-0.529, -0.502, 1.941),(-0.530, -0.500, 1.937),(-0.531, -0.497, 1.933),(-0.532, -0.495, 1.929),(-0.533, -0.492, 1.924),(-0.534, -0.489, 1.919),(-0.535, -0.486, 1.914),(-0.536, -0.482, 1.909),(-0.537, -0.479, 1.903),(-0.538, -0.475, 1.898),(-0.540, -0.472, 1.892),(-0.541, -0.468, 1.885),(-0.542, -0.464, 1.879),(-0.543, -0.460, 1.873),(-0.545, -0.455, 1.866),(-0.546, -0.451, 1.859),(-0.547, -0.446, 1.852),(-0.549, -0.442, 1.845),(-0.550, -0.437, 1.838),(-0.552, -0.432, 1.830),(-0.553, -0.426, 1.822),(-0.554, -0.421, 1.815),(-0.556, -0.416, 1.807),(-0.557, -0.410, 1.799),(-0.558, -0.404, 1.791),(-0.560, -0.398, 1.783),(-0.561, -0.392, 1.775),(-0.562, -0.385, 1.767),(-0.563, -0.379, 1.759),(-0.565, -0.372, 1.751),(-0.566, -0.366, 1.743),(-0.567, -0.359, 1.735),(-0.568, -0.352, 1.728),(-0.569, -0.344, 1.720),(-0.570, -0.337, 1.712),(-0.572, -0.329, 1.705),(-0.573, -0.322, 1.698),(-0.574, -0.314, 1.690),(-0.574, -0.306, 1.683),(-0.575, -0.297, 1.677),(-0.576, -0.289, 1.670),(-0.577, -0.281, 1.664),(-0.578, -0.272, 1.658),(-0.579, -0.263, 1.652),(-0.579, -0.254, 1.646),(-0.580, -0.245, 1.641),(-0.581, -0.236, 1.636),(-0.581, -0.226, 1.631),(-0.582, -0.217, 1.627),(-0.582, -0.207, 1.622),(-0.583, -0.197, 1.618),(-0.583, -0.187, 1.615),(-0.584, -0.177, 1.612),(-0.584, -0.166, 1.609),(-0.584, -0.156, 1.606),(-0.585, -0.145, 1.604),(-0.585, -0.135, 1.602),(-0.585, -0.124, 1.600),(-0.586, -0.112, 1.598),(-0.586, -0.101, 1.597),(-0.586, -0.090, 1.596),(-0.587, -0.078, 1.596),(-0.587, -0.067, 1.595),(-0.587, -0.055, 1.595),(-0.587, -0.043, 1.595),(-0.588, -0.031, 1.596),(-0.588, -0.018, 1.596),(-0.588, -0.006, 1.597),(-0.589, 0.007, 1.598),(-0.589, 0.019, 1.600),(-0.590, 0.032, 1.601),(-0.590, 0.045, 1.603),(-0.590, 0.059, 1.605),(-0.591, 0.072, 1.607),(-0.591, 0.085, 1.609),(-0.592, 0.098, 1.612),(-0.592, 0.111, 1.614),(-0.593, 0.124, 1.617),(-0.594, 0.137, 1.620),(-0.594, 0.151, 1.622),(-0.595, 0.164, 1.625),(-0.596, 0.177, 1.628),(-0.596, 0.190, 1.631),(-0.597, 0.203, 1.634),(-0.598, 0.216, 1.638),(-0.599, 0.229, 1.641),(-0.600, 0.242, 1.644),(-0.601, 0.255, 1.647),(-0.602, 0.268, 1.650),(-0.603, 0.281, 1.654),(-0.604, 0.294, 1.657),(-0.605, 0.307, 1.660),(-0.606, 0.320, 1.664),(-0.608, 0.333, 1.667),(-0.609, 0.346, 1.671),(-0.610, 0.356, 1.673),(-0.610, 0.356, 1.735),(-0.612, 0.369, 1.738),(-0.614, 0.382, 1.741),(-0.617, 0.395, 1.745),(-0.619, 0.407, 1.750),(-0.621, 0.420, 1.754),(-0.624, 0.433, 1.760),(-0.626, 0.445, 1.765),(-0.628, 0.457, 1.771),(-0.631, 0.470, 1.778),(-0.634, 0.482, 1.784),(-0.636, 0.494, 1.791),(-0.639, 0.506, 1.798),(-0.642, 0.519, 1.805),(-0.645, 0.531, 1.813),(-0.648, 0.543, 1.820),(-0.651, 0.555, 1.828),(-0.654, 0.567, 1.836),(-0.657, 0.579, 1.844),(-0.661, 0.590, 1.853),(-0.664, 0.602, 1.862),(-0.668, 0.614, 1.870),(-0.672, 0.626, 1.879),(-0.675, 0.637, 1.889),(-0.679, 0.649, 1.898),(-0.683, 0.660, 1.908),(-0.687, 0.671, 1.918),(-0.691, 0.683, 1.928),(-0.696, 0.694, 1.938),(-0.700, 0.705, 1.949),(-0.704, 0.716, 1.960),(-0.709, 0.727, 1.971),(-0.714, 0.738, 1.982),(-0.718, 0.749, 1.993),(-0.723, 0.760, 2.005),(-0.728, 0.771, 2.017),(-0.734, 0.781, 2.029),(-0.739, 0.792, 2.041),(-0.744, 0.802, 2.054),(-0.750, 0.812, 2.066),(-0.755, 0.823, 2.079),(-0.761, 0.833, 2.092),(-0.767, 0.843, 2.106),(-0.773, 0.853, 2.120),(-0.779, 0.862, 2.133),(-0.785, 0.872, 2.148),(-0.791, 0.882, 2.162),(-0.798, 0.891, 2.176),(-0.804, 0.900, 2.191),(-0.811, 0.909, 2.206),(-0.818, 0.919, 2.221),(-0.825, 0.927, 2.237),(-0.832, 0.936, 2.252),(-0.839, 0.945, 2.268),(-0.846, 0.953, 2.284),(-0.854, 0.962, 2.300),(-0.861, 0.970, 2.317),(-0.869, 0.978, 2.333),(-0.876, 0.986, 2.350),(-0.884, 0.994, 2.367),(-0.892, 1.002, 2.384),(-0.900, 1.009, 2.401),(-0.908, 1.017, 2.418),(-0.917, 1.024, 2.435),(-0.925, 1.031, 2.452),(-0.934, 1.038, 2.470),(-0.942, 1.045, 2.487),(-0.951, 1.051, 2.505),(-0.960, 1.058, 2.523),(-0.969, 1.064, 2.540),(-0.978, 1.070, 2.558),(-0.987, 1.076, 2.576),(-0.997, 1.082, 2.594),(-1.006, 1.087, 2.611),(-1.015, 1.093, 2.629),(-1.025, 1.098, 2.646),(-1.034, 1.103, 2.663),(-1.043, 1.108, 2.680),(-1.053, 1.112, 2.696),(-1.062, 1.116, 2.712),(-1.071, 1.120, 2.727),(-1.080, 1.124, 2.743),(-1.089, 1.128, 2.758),(-1.098, 1.132, 2.772),(-1.107, 1.135, 2.787),(-1.115, 1.138, 2.800),(-1.124, 1.141, 2.814),(-1.132, 1.144, 2.827),(-1.141, 1.146, 2.840),(-1.149, 1.149, 2.853),(-1.157, 1.151, 2.865),(-1.165, 1.154, 2.876),(-1.173, 1.156, 2.888),(-1.181, 1.158, 2.899),(-1.188, 1.159, 2.910),(-1.196, 1.161, 2.920),(-1.203, 1.163, 2.931),(-1.211, 1.164, 2.941),(-1.218, 1.166, 2.950),(-1.225, 1.167, 2.959),(-1.232, 1.168, 2.968),(-1.238, 1.169, 2.977),(-1.245, 1.171, 2.985),(-1.251, 1.172, 2.994),(-1.258, 1.172, 3.001),(-1.264, 1.173, 3.009),(-1.270, 1.174, 3.016),(-1.276, 1.175, 3.024),(-1.281, 1.175, 3.030),(-1.287, 1.176, 3.037),(-1.292, 1.177, 3.043),(-1.298, 1.177, 3.050),(-1.303, 1.178, 3.055),(-1.308, 1.178, 3.061),(-1.313, 1.178, 3.067),(-1.317, 1.179, 3.072),(-1.322, 1.179, 3.077),(-1.326, 1.179, 3.082),(-1.331, 1.180, 3.086),(-1.335, 1.180, 3.091),(-1.339, 1.180, 3.095),(-1.343, 1.180, 3.099),(-1.346, 1.180, 3.103),(-1.350, 1.180, 3.107),(-1.353, 1.181, 3.110),(-1.356, 1.181, 3.114),(-1.359, 1.181, 3.117),(-1.362, 1.181, 3.120),(-1.365, 1.181, 3.123),(-1.368, 1.181, 3.125),(-1.370, 1.181, 3.128),(-1.373, 1.181, 3.130),(-1.375, 1.181, 3.132),(-1.377, 1.181, 3.134),(-1.379, 1.181, 3.136),(-1.380, 1.181, 3.138),(-1.382, 1.181, 3.140),(-1.383, 1.181, 3.141),(-1.384, 1.181, 3.142)};
23V = {(0.000, -0.000),(0.015, -0.023),(0.030, -0.047),(0.045, -0.070),(0.060, -0.093),(0.075, -0.117),(0.090, -0.140),(0.105, -0.163),(0.120, -0.187),(0.135, -0.210),(0.150, -0.233),(0.165, -0.257),(0.180, -0.280),(0.195, -0.303),(0.210, -0.326),(0.225, -0.350),(0.240, -0.373),(0.255, -0.396),(0.270, -0.418),(0.285, -0.441),(0.300, -0.464),(0.315, -0.486),(0.330, -0.508),(0.345, -0.530),(0.360, -0.551),(0.375, -0.572),(0.390, -0.592),(0.405, -0.612),(0.420, -0.631),(0.435, -0.650),(0.450, -0.667),(0.465, -0.684),(0.480, -0.700),(0.495, -0.715),(0.510, -0.729),(0.525, -0.742),(0.540, -0.753),(0.555, -0.763),(0.570, -0.772),(0.585, -0.779),(0.600, -0.785),(0.615, -0.789),(0.630, -0.791),(0.645, -0.792),(0.660, -0.791),(0.675, -0.788),(0.690, -0.783),(0.705, -0.777),(0.720, -0.769),(0.735, -0.758),(0.750, -0.746),(0.765, -0.733),(0.780, -0.717),(0.795, -0.700),(0.810, -0.682),(0.825, -0.662),(0.840, -0.640),(0.855, -0.617),(0.870, -0.593),(0.885, -0.568),(0.900, -0.542),(0.915, -0.515),(0.930, -0.487),(0.945, -0.459),(0.960, -0.429),(0.975, -0.400),(0.990, -0.370),(1.005, -0.340),(1.020, -0.310),(1.035, -0.280),(1.050, -0.250),(1.065, -0.220),(1.080, -0.190),(1.095, -0.161),(1.110, -0.132),(1.125, -0.104),(1.140, -0.076),(1.155, -0.048),(1.170, -0.022),(1.185, 0.004),(1.200, 0.030),(1.215, 0.054),(1.230, 0.078),(1.245, 0.101),(1.260, 0.123),(1.275, 0.145),(1.290, 0.165),(1.305, 0.185),(1.320, 0.204),(1.321, 0.219),(1.318, 0.233),(1.316, 0.246),(1.315, 0.257),(1.313, 0.267),(1.311, 0.276),(1.310, 0.285),(1.309, 0.292),(1.308, 0.299),(1.307, 0.305),(1.306, 0.311),(1.305, 0.315),(1.304, 0.320),(1.304, 0.323),(1.303, 0.326),(1.303, 0.329),(1.302, 0.331),(1.302, 0.333),(1.302, 0.335),(1.302, 0.336),(1.301, 0.337),(1.301, 0.337),(1.301, 0.338),(1.301, 0.196),(1.316, 0.293),(1.308, 0.367),(1.297, 0.425),(1.289, 0.473),(1.282, 0.514),(1.276, 0.551),(1.271, 0.583),(1.266, 0.612),(1.262, 0.639),(1.258, 0.665),(1.254, 0.689),(1.251, 0.712),(1.247, 0.734),(1.244, 0.755),(1.241, 0.776),(1.238, 0.797),(1.235, 0.818),(1.232, 0.838),(1.229, 0.858),(1.226, 0.879),(1.223, 0.899),(1.220, 0.919),(1.218, 0.940),(1.215, 0.960),(1.212, 0.981),(1.209, 1.002),(1.206, 1.023),(1.203, 1.044),(1.200, 1.066),(1.196, 1.087),(1.193, 1.109),(1.190, 1.131),(1.187, 1.153),(1.184, 1.176),(1.181, 1.198),(1.177, 1.221),(1.174, 1.243),(1.171, 1.266),(1.168, 1.289),(1.164, 1.312),(1.161, 1.334),(1.158, 1.357),(1.155, 1.380),(1.151, 1.402),(1.148, 1.424),(1.145, 1.447),(1.142, 1.468),(1.138, 1.490),(1.135, 1.511),(1.132, 1.532),(1.129, 1.552),(1.126, 1.571),(1.124, 1.590),(1.121, 1.609),(1.118, 1.626),(1.116, 1.643),(1.113, 1.659),(1.111, 1.674),(1.109, 1.689),(1.107, 1.702),(1.105, 1.714),(1.103, 1.725),(1.101, 1.735),(1.100, 1.744),(1.098, 1.752),(1.097, 1.758),(1.096, 1.763),(1.095, 1.767),(1.095, 1.770),(1.094, 1.771),(1.094, 1.771),(1.094, 1.770),(1.094, 1.767),(1.087, 1.752),(1.072, 1.722),(1.057, 1.691),(1.042, 1.659),(1.027, 1.626),(1.012, 1.592),(0.997, 1.558),(0.982, 1.524),(0.967, 1.489),(0.952, 1.453),(0.937, 1.418),(0.922, 1.383),(0.907, 1.348),(0.892, 1.313),(0.877, 1.278),(0.862, 1.243),(0.847, 1.209),(0.832, 1.175),(0.817, 1.142),(0.802, 1.109),(0.787, 1.077),(0.772, 1.045),(0.757, 1.013),(0.742, 0.982),(0.727, 0.952),(0.712, 0.923),(0.697, 0.894),(0.682, 0.865),(0.667, 0.837),(0.652, 0.810),(0.637, 0.783),(0.622, 0.757),(0.607, 0.731),(0.592, 0.706),(0.577, 0.682),(0.562, 0.658),(0.547, 0.634),(0.532, 0.612),(0.517, 0.589),(0.502, 0.567),(0.487, 0.545),(0.472, 0.524),(0.457, 0.504),(0.442, 0.483),(0.427, 0.463),(0.412, 0.444),(0.397, 0.425),(0.382, 0.406),(0.367, 0.388),(0.352, 0.369),(0.337, 0.352),(0.322, 0.334),(0.307, 0.317),(0.292, 0.300),(0.277, 0.283),(0.262, 0.266),(0.247, 0.250),(0.232, 0.234),(0.217, 0.218),(0.202, 0.202),(0.187, 0.187),(0.172, 0.171),(0.157, 0.156),(0.142, 0.141),(0.127, 0.126)};
24)";
25*/
26
27const std::string skills_1 = R"(P = {(-0.521, -0.521, 1.973),(-0.521, -0.521, 1.973),(-0.521, -0.521, 1.972),(-0.521, -0.520, 1.972),(-0.522, -0.520, 1.971),(-0.522, -0.519, 1.969),(-0.522, -0.518, 1.968),(-0.523, -0.517, 1.966),(-0.523, -0.516, 1.965),(-0.524, -0.515, 1.962),(-0.524, -0.513, 1.960),(-0.525, -0.512, 1.958),(-0.525, -0.510, 1.955),(-0.526, -0.508, 1.952),(-0.527, -0.506, 1.948),(-0.528, -0.504, 1.945),(-0.529, -0.502, 1.941),(-0.530, -0.500, 1.937),(-0.531, -0.497, 1.933),(-0.532, -0.495, 1.929),(-0.533, -0.492, 1.924),(-0.534, -0.489, 1.919),(-0.535, -0.486, 1.914),(-0.536, -0.482, 1.909),(-0.537, -0.479, 1.903),(-0.538, -0.475, 1.898),(-0.540, -0.472, 1.892),(-0.541, -0.468, 1.885),(-0.542, -0.464, 1.879),(-0.543, -0.460, 1.873),(-0.545, -0.455, 1.866),(-0.546, -0.451, 1.859),(-0.547, -0.446, 1.852),(-0.549, -0.442, 1.845),(-0.550, -0.437, 1.838),(-0.552, -0.432, 1.830),(-0.553, -0.426, 1.822),(-0.554, -0.421, 1.815),(-0.556, -0.416, 1.807),(-0.557, -0.410, 1.799),(-0.558, -0.404, 1.791),(-0.560, -0.398, 1.783),(-0.561, -0.392, 1.775),(-0.562, -0.385, 1.767),(-0.563, -0.379, 1.759),(-0.565, -0.372, 1.751),(-0.566, -0.366, 1.743),(-0.567, -0.359, 1.735),(-0.568, -0.352, 1.728),(-0.569, -0.344, 1.720),(-0.570, -0.337, 1.712),(-0.572, -0.329, 1.705),(-0.573, -0.322, 1.698),(-0.574, -0.314, 1.690),(-0.574, -0.306, 1.683),(-0.575, -0.297, 1.677),(-0.576, -0.289, 1.670),(-0.577, -0.281, 1.664),(-0.578, -0.272, 1.658),(-0.579, -0.263, 1.652),(-0.579, -0.254, 1.646),(-0.580, -0.245, 1.641),(-0.581, -0.236, 1.636),(-0.581, -0.226, 1.631),(-0.582, -0.217, 1.627),(-0.582, -0.207, 1.623),(-0.583, -0.198, 1.619),(-0.583, -0.188, 1.615),(-0.584, -0.179, 1.612),(-0.584, -0.169, 1.609),(-0.584, -0.159, 1.607),(-0.585, -0.149, 1.604),(-0.585, -0.140, 1.602),(-0.585, -0.130, 1.601),(-0.586, -0.120, 1.599),(-0.586, -0.110, 1.598),(-0.586, -0.100, 1.597),(-0.586, -0.090, 1.596),(-0.587, -0.080, 1.596),(-0.587, -0.070, 1.595),(-0.587, -0.060, 1.595),(-0.587, -0.050, 1.595),(-0.588, -0.040, 1.595),(-0.588, -0.029, 1.596),(-0.588, -0.019, 1.596),(-0.588, -0.009, 1.597),(-0.589, 0.001, 1.598),(-0.589, 0.011, 1.599),(-0.589, 0.021, 1.600),(-0.589, 0.031, 1.601),(-0.590, 0.040, 1.602),(-0.590, 0.050, 1.604),(-0.590, 0.060, 1.605),(-0.591, 0.070, 1.607),(-0.591, 0.080, 1.609),(-0.592, 0.090, 1.610),(-0.592, 0.100, 1.612),(-0.592, 0.110, 1.614),(-0.593, 0.119, 1.616),(-0.593, 0.129, 1.618),(-0.594, 0.139, 1.620),(-0.594, 0.149, 1.622),(-0.595, 0.159, 1.624),(-0.595, 0.169, 1.626),(-0.596, 0.178, 1.629),(-0.596, 0.188, 1.631),(-0.597, 0.198, 1.633),(-0.598, 0.208, 1.636),(-0.598, 0.217, 1.638),(-0.599, 0.227, 1.640),(-0.600, 0.237, 1.643),(-0.600, 0.247, 1.645),(-0.601, 0.256, 1.648),(-0.602, 0.266, 1.650),(-0.603, 0.276, 1.653),(-0.603, 0.286, 1.655),(-0.604, 0.295, 1.658),(-0.605, 0.305, 1.660),(-0.606, 0.315, 1.663),(-0.607, 0.325, 1.665),(-0.608, 0.334, 1.668),(-0.609, 0.344, 1.670),(-0.610, 0.354, 1.673),(-0.610, 0.356, 1.673),(-0.610, 0.356, 1.735),(-0.612, 0.366, 1.737),(-0.613, 0.375, 1.739),(-0.615, 0.385, 1.742),(-0.617, 0.395, 1.745),(-0.618, 0.404, 1.748),(-0.620, 0.414, 1.752),(-0.622, 0.423, 1.756),(-0.624, 0.432, 1.760),(-0.625, 0.442, 1.764),(-0.627, 0.451, 1.768),(-0.629, 0.460, 1.773),(-0.631, 0.470, 1.778),(-0.633, 0.479, 1.782),(-0.635, 0.488, 1.787),(-0.637, 0.497, 1.793),(-0.639, 0.506, 1.798),(-0.641, 0.516, 1.803),(-0.643, 0.525, 1.809),(-0.646, 0.534, 1.814),(-0.648, 0.543, 1.820),(-0.650, 0.552, 1.826),(-0.653, 0.561, 1.832),(-0.655, 0.570, 1.838),(-0.657, 0.579, 1.844),(-0.660, 0.587, 1.851),(-0.663, 0.596, 1.857),(-0.665, 0.605, 1.864),(-0.668, 0.614, 1.870),(-0.671, 0.623, 1.877),(-0.673, 0.631, 1.884),(-0.676, 0.640, 1.891),(-0.679, 0.649, 1.898),(-0.682, 0.657, 1.905),(-0.685, 0.666, 1.913),(-0.688, 0.674, 1.920),(-0.691, 0.683, 1.928),(-0.694, 0.691, 1.936),(-0.698, 0.700, 1.943),(-0.701, 0.708, 1.951),(-0.704, 0.716, 1.959),(-0.708, 0.724, 1.968),(-0.711, 0.733, 1.976),(-0.715, 0.741, 1.984),(-0.718, 0.749, 1.993),(-0.722, 0.757, 2.002),(-0.726, 0.765, 2.011),(-0.730, 0.773, 2.019),(-0.733, 0.781, 2.029),(-0.737, 0.789, 2.038),(-0.741, 0.797, 2.047),(-0.745, 0.804, 2.057),(-0.750, 0.812, 2.066),(-0.754, 0.820, 2.076),(-0.758, 0.827, 2.086),(-0.762, 0.835, 2.096),(-0.767, 0.843, 2.106),(-0.771, 0.850, 2.116),(-0.776, 0.857, 2.126),(-0.780, 0.865, 2.137),(-0.785, 0.872, 2.147),(-0.790, 0.879, 2.158),(-0.794, 0.886, 2.169),(-0.799, 0.893, 2.180),(-0.804, 0.900, 2.191),(-0.809, 0.907, 2.202),(-0.814, 0.914, 2.214),(-0.819, 0.921, 2.225),(-0.825, 0.927, 2.237),(-0.830, 0.934, 2.248),(-0.835, 0.940, 2.260),(-0.841, 0.947, 2.272),(-0.846, 0.953, 2.284),(-0.852, 0.960, 2.296),(-0.857, 0.966, 2.308),(-0.863, 0.972, 2.320),(-0.868, 0.978, 2.333),(-0.874, 0.984, 2.345),(-0.880, 0.990, 2.358),(-0.886, 0.996, 2.371),(-0.892, 1.002, 2.383),(-0.898, 1.007, 2.396),(-0.904, 1.013, 2.409),(-0.910, 1.018, 2.422),(-0.917, 1.024, 2.435),(-0.923, 1.029, 2.448),(-0.929, 1.034, 2.461),(-0.936, 1.039, 2.474),(-0.942, 1.044, 2.487),(-0.949, 1.049, 2.500),(-0.955, 1.054, 2.514),(-0.962, 1.059, 2.527),(-0.969, 1.064, 2.540),(-0.976, 1.068, 2.553),(-0.982, 1.073, 2.567),(-0.989, 1.077, 2.580),(-0.996, 1.082, 2.593),(-1.003, 1.086, 2.606),(-1.010, 1.090, 2.620),(-1.018, 1.094, 2.633),(-1.025, 1.098, 2.646),(-1.032, 1.102, 2.659),(-1.039, 1.106, 2.672),(-1.047, 1.109, 2.686),(-1.054, 1.113, 2.699),(-1.062, 1.116, 2.712),(-1.069, 1.120, 2.725),(-1.077, 1.123, 2.737),(-1.084, 1.126, 2.750),(-1.092, 1.129, 2.763),(-1.100, 1.132, 2.776),(-1.108, 1.135, 2.788),(-1.115, 1.138, 2.801),(-1.123, 1.141, 2.813),(-1.131, 1.143, 2.825),(-1.139, 1.146, 2.838),(-1.147, 1.148, 2.850),(-1.155, 1.151, 2.862),(-1.163, 1.153, 2.874),(-1.171, 1.155, 2.885),(-1.179, 1.157, 2.896),(-1.186, 1.159, 2.907),(-1.194, 1.161, 2.918),(-1.201, 1.162, 2.928),(-1.209, 1.164, 2.938),(-1.216, 1.165, 2.948),(-1.223, 1.167, 2.957),(-1.230, 1.168, 2.966),(-1.236, 1.169, 2.975),(-1.243, 1.170, 2.983),(-1.250, 1.171, 2.991),(-1.256, 1.172, 2.999),(-1.262, 1.173, 3.007),(-1.268, 1.174, 3.014),(-1.274, 1.175, 3.021),(-1.280, 1.175, 3.028),(-1.285, 1.176, 3.035),(-1.291, 1.176, 3.041),(-1.296, 1.177, 3.048),(-1.301, 1.177, 3.054),(-1.306, 1.178, 3.059),(-1.311, 1.178, 3.065),(-1.316, 1.179, 3.070),(-1.320, 1.179, 3.075),(-1.325, 1.179, 3.080),(-1.329, 1.179, 3.085),(-1.333, 1.180, 3.089),(-1.337, 1.180, 3.093),(-1.341, 1.180, 3.098),(-1.345, 1.180, 3.101),(-1.348, 1.180, 3.105),(-1.352, 1.180, 3.109),(-1.355, 1.181, 3.112),(-1.358, 1.181, 3.115),(-1.361, 1.181, 3.118),(-1.364, 1.181, 3.121),(-1.366, 1.181, 3.124),(-1.369, 1.181, 3.126),(-1.371, 1.181, 3.129),(-1.373, 1.181, 3.131),(-1.375, 1.181, 3.133),(-1.377, 1.181, 3.135),(-1.379, 1.181, 3.137),(-1.381, 1.181, 3.138),(-1.382, 1.181, 3.140),(-1.383, 1.181, 3.141),(-1.384, 1.181, 3.142)};
28V = {(0.000, -0.000),(0.015, -0.023),(0.030, -0.047),(0.045, -0.070),(0.060, -0.093),(0.075, -0.117),(0.090, -0.140),(0.105, -0.163),(0.120, -0.187),(0.135, -0.210),(0.150, -0.233),(0.165, -0.257),(0.180, -0.280),(0.195, -0.303),(0.210, -0.326),(0.225, -0.350),(0.240, -0.373),(0.255, -0.396),(0.270, -0.418),(0.285, -0.441),(0.300, -0.464),(0.315, -0.486),(0.330, -0.508),(0.345, -0.530),(0.360, -0.551),(0.375, -0.572),(0.390, -0.592),(0.405, -0.612),(0.420, -0.631),(0.435, -0.650),(0.450, -0.667),(0.465, -0.684),(0.480, -0.700),(0.495, -0.715),(0.510, -0.729),(0.525, -0.742),(0.540, -0.753),(0.555, -0.763),(0.570, -0.772),(0.585, -0.779),(0.600, -0.785),(0.615, -0.789),(0.630, -0.791),(0.645, -0.792),(0.660, -0.791),(0.675, -0.788),(0.690, -0.783),(0.705, -0.777),(0.720, -0.769),(0.735, -0.758),(0.750, -0.746),(0.765, -0.733),(0.780, -0.717),(0.795, -0.700),(0.810, -0.682),(0.825, -0.662),(0.840, -0.640),(0.855, -0.617),(0.870, -0.593),(0.885, -0.568),(0.900, -0.542),(0.915, -0.515),(0.930, -0.487),(0.941, -0.457),(0.946, -0.424),(0.951, -0.392),(0.956, -0.360),(0.960, -0.329),(0.965, -0.299),(0.969, -0.270),(0.973, -0.241),(0.978, -0.213),(0.982, -0.187),(0.985, -0.161),(0.989, -0.136),(0.993, -0.112),(0.996, -0.089),(1.000, -0.067),(1.003, -0.045),(1.006, -0.025),(1.009, -0.006),(1.012, 0.013),(1.011, 0.030),(1.008, 0.047),(1.006, 0.062),(1.004, 0.077),(1.001, 0.090),(1.000, 0.103),(0.998, 0.115),(0.996, 0.126),(0.994, 0.136),(0.993, 0.146),(0.991, 0.155),(0.990, 0.163),(0.989, 0.171),(0.988, 0.178),(0.987, 0.185),(0.986, 0.192),(0.985, 0.198),(0.984, 0.203),(0.983, 0.208),(0.982, 0.213),(0.982, 0.217),(0.981, 0.221),(0.981, 0.225),(0.980, 0.228),(0.980, 0.231),(0.979, 0.234),(0.979, 0.237),(0.978, 0.239),(0.978, 0.241),(0.978, 0.243),(0.977, 0.245),(0.977, 0.247),(0.977, 0.248),(0.977, 0.249),(0.977, 0.250),(0.976, 0.251),(0.976, 0.252),(0.976, 0.252),(0.976, 0.253),(0.976, 0.253),(0.976, 0.253),(0.976, 0.253),(0.976, 0.147),(0.991, 0.205),(0.983, 0.249),(0.977, 0.286),(0.971, 0.318),(0.967, 0.346),(0.963, 0.370),(0.959, 0.392),(0.956, 0.412),(0.953, 0.431),(0.950, 0.448),(0.948, 0.464),(0.946, 0.479),(0.943, 0.493),(0.941, 0.507),(0.939, 0.520),(0.937, 0.533),(0.936, 0.546),(0.934, 0.558),(0.932, 0.570),(0.930, 0.582),(0.929, 0.593),(0.927, 0.605),(0.925, 0.617),(0.924, 0.628),(0.922, 0.639),(0.920, 0.651),(0.919, 0.662),(0.917, 0.674),(0.915, 0.685),(0.914, 0.697),(0.912, 0.708),(0.910, 0.720),(0.909, 0.731),(0.907, 0.743),(0.905, 0.755),(0.904, 0.767),(0.902, 0.779),(0.900, 0.791),(0.899, 0.803),(0.897, 0.815),(0.895, 0.827),(0.893, 0.839),(0.891, 0.852),(0.890, 0.864),(0.888, 0.877),(0.886, 0.889),(0.884, 0.902),(0.882, 0.915),(0.881, 0.927),(0.879, 0.940),(0.877, 0.953),(0.875, 0.966),(0.873, 0.978),(0.871, 0.991),(0.870, 1.004),(0.868, 1.017),(0.866, 1.030),(0.864, 1.042),(0.862, 1.055),(0.860, 1.067),(0.859, 1.080),(0.857, 1.092),(0.855, 1.104),(0.853, 1.116),(0.852, 1.128),(0.850, 1.140),(0.848, 1.151),(0.846, 1.163),(0.845, 1.174),(0.843, 1.185),(0.842, 1.195),(0.840, 1.206),(0.839, 1.216),(0.837, 1.225),(0.836, 1.235),(0.834, 1.244),(0.833, 1.252),(0.832, 1.260),(0.831, 1.268),(0.830, 1.276),(0.828, 1.283),(0.827, 1.289),(0.826, 1.295),(0.826, 1.301),(0.825, 1.306),(0.824, 1.310),(0.823, 1.315),(0.823, 1.318),(0.822, 1.321),(0.822, 1.324),(0.821, 1.326),(0.821, 1.327),(0.821, 1.328),(0.821, 1.328),(0.821, 1.328),(0.821, 1.327),(0.821, 1.326),(0.821, 1.324),(0.821, 1.322),(0.821, 1.319),(0.822, 1.315),(0.822, 1.311),(0.823, 1.307),(0.824, 1.302),(0.824, 1.297),(0.825, 1.291),(0.826, 1.284),(0.827, 1.277),(0.828, 1.270),(0.829, 1.262),(0.830, 1.254),(0.831, 1.246),(0.832, 1.237),(0.834, 1.228),(0.835, 1.218),(0.836, 1.208),(0.838, 1.198),(0.834, 1.180),(0.819, 1.146),(0.804, 1.113),(0.789, 1.081),(0.774, 1.049),(0.759, 1.018),(0.744, 0.987),(0.729, 0.957),(0.714, 0.927),(0.699, 0.898),(0.684, 0.869),(0.669, 0.841),(0.654, 0.814),(0.639, 0.787),(0.624, 0.761),(0.609, 0.735),(0.594, 0.710),(0.579, 0.685),(0.564, 0.661),(0.549, 0.638),(0.534, 0.615),(0.519, 0.592),(0.504, 0.570),(0.489, 0.548),(0.474, 0.527),(0.459, 0.506),(0.444, 0.486),(0.429, 0.466),(0.414, 0.447),(0.399, 0.427),(0.384, 0.408),(0.369, 0.390),(0.354, 0.372),(0.339, 0.354),(0.324, 0.336),(0.309, 0.319),(0.294, 0.302),(0.279, 0.285),(0.264, 0.268),(0.249, 0.252),(0.234, 0.236),(0.219, 0.220),(0.204, 0.204),(0.189, 0.188),(0.174, 0.173),(0.159, 0.157),(0.144, 0.142),(0.129, 0.127),(0.114, 0.112)};
29)";
30
31const std::string skills_2 = R"(
32P = {(-1.397, 1.194, 0.000),(-1.397, 1.194, 0.000),(-1.397, 1.194, 0.001),(-1.396, 1.194, 0.001),(-1.395, 1.194, 0.002),(-1.395, 1.194, 0.003),(-1.394, 1.194, 0.004),(-1.393, 1.194, 0.005),(-1.392, 1.194, 0.006),(-1.390, 1.194, 0.008),(-1.389, 1.194, 0.010),(-1.387, 1.194, 0.012),(-1.385, 1.194, 0.014),(-1.383, 1.194, 0.017),(-1.381, 1.194, 0.019),(-1.379, 1.194, 0.022),(-1.377, 1.194, 0.025),(-1.374, 1.194, 0.029),(-1.371, 1.194, 0.032),(-1.369, 1.195, 0.036),(-1.366, 1.195, 0.040),(-1.362, 1.195, 0.045),(-1.359, 1.195, 0.049),(-1.356, 1.195, 0.054),(-1.352, 1.195, 0.059),(-1.348, 1.196, 0.065),(-1.344, 1.196, 0.071),(-1.340, 1.196, 0.077),(-1.336, 1.196, 0.084),(-1.332, 1.197, 0.091),(-1.327, 1.197, 0.098),(-1.323, 1.198, 0.106),(-1.318, 1.198, 0.114),(-1.313, 1.199, 0.123),(-1.308, 1.199, 0.132),(-1.303, 1.200, 0.142),(-1.297, 1.201, 0.152),(-1.292, 1.202, 0.163),(-1.286, 1.203, 0.174),(-1.281, 1.204, 0.186),(-1.275, 1.205, 0.199),(-1.269, 1.206, 0.212),(-1.263, 1.208, 0.226),(-1.256, 1.209, 0.240),(-1.250, 1.211, 0.256),(-1.243, 1.212, 0.272),(-1.237, 1.214, 0.289),(-1.230, 1.216, 0.306),(-1.223, 1.219, 0.325),(-1.216, 1.221, 0.344),(-1.209, 1.224, 0.364),(-1.202, 1.227, 0.384),(-1.195, 1.230, 0.406),(-1.188, 1.233, 0.427),(-1.180, 1.236, 0.450),(-1.173, 1.240, 0.472),(-1.165, 1.244, 0.495),(-1.158, 1.248, 0.518),(-1.150, 1.252, 0.541),(-1.143, 1.257, 0.564),(-1.135, 1.262, 0.586),(-1.128, 1.267, 0.608),(-1.120, 1.272, 0.628),(-1.113, 1.278, 0.648),(-1.105, 1.284, 0.666),(-1.097, 1.290, 0.683),(-1.090, 1.296, 0.697),(-1.082, 1.303, 0.710),(-1.074, 1.309, 0.721),(-1.067, 1.316, 0.730),(-1.059, 1.323, 0.736),(-1.051, 1.331, 0.740),(-1.043, 1.338, 0.741),(-1.035, 1.345, 0.740),(-1.027, 1.353, 0.736),(-1.018, 1.360, 0.729),(-1.010, 1.368, 0.720),(-1.001, 1.375, 0.709),(-0.992, 1.383, 0.695),(-0.983, 1.390, 0.680),(-0.974, 1.397, 0.663),(-0.965, 1.404, 0.644),(-0.957, 1.411, 0.625),(-0.948, 1.417, 0.606),(-0.939, 1.423, 0.585),(-0.930, 1.429, 0.565),(-0.921, 1.434, 0.544),(-0.912, 1.440, 0.523),(-0.903, 1.445, 0.502),(-0.893, 1.450, 0.482),(-0.884, 1.454, 0.461),(-0.875, 1.459, 0.440),(-0.865, 1.463, 0.420),(-0.855, 1.468, 0.400),(-0.846, 1.472, 0.380),(-0.836, 1.476, 0.361),(-0.825, 1.479, 0.342),(-0.815, 1.483, 0.323),(-0.805, 1.486, 0.305),(-0.794, 1.489, 0.288),(-0.784, 1.492, 0.271),(-0.773, 1.495, 0.255),(-0.762, 1.498, 0.239),(-0.751, 1.501, 0.223),(-0.740, 1.503, 0.208),(-0.729, 1.505, 0.194),(-0.718, 1.507, 0.180),(-0.707, 1.509, 0.166),(-0.695, 1.511, 0.153),(-0.684, 1.513, 0.140),(-0.672, 1.514, 0.128),(-0.661, 1.516, 0.117),(-0.649, 1.517, 0.105),(-0.637, 1.518, 0.094),(-0.625, 1.519, 0.084),(-0.613, 1.520, 0.074),(-0.601, 1.521, 0.064),(-0.589, 1.522, 0.054),(-0.577, 1.522, 0.045),(-0.565, 1.523, 0.037),(-0.552, 1.523, 0.028),(-0.540, 1.524, 0.020),(-0.528, 1.524, 0.012),(-0.515, 1.524, 0.004),(-0.508, 1.524, 0.000),(-0.508, 1.524, 0.000),(-0.495, 1.524, 0.000),(-0.483, 1.524, 0.000),(-0.470, 1.524, 0.000),(-0.457, 1.524, 0.000),(-0.444, 1.524, 0.000),(-0.430, 1.524, 0.000),(-0.417, 1.524, 0.000),(-0.403, 1.524, 0.000),(-0.390, 1.524, 0.000),(-0.376, 1.524, 0.000),(-0.363, 1.524, 0.000),(-0.349, 1.524, 0.000),(-0.336, 1.524, 0.000),(-0.322, 1.524, 0.000),(-0.309, 1.524, 0.000),(-0.295, 1.524, 0.000),(-0.282, 1.524, 0.000),(-0.268, 1.524, 0.000),(-0.255, 1.524, 0.000),(-0.241, 1.524, 0.000),(-0.228, 1.524, 0.000),(-0.214, 1.524, 0.000),(-0.201, 1.524, 0.000),(-0.187, 1.524, 0.000),(-0.174, 1.524, 0.000),(-0.160, 1.524, 0.000),(-0.147, 1.524, 0.000),(-0.133, 1.524, 0.000),(-0.120, 1.524, 0.000),(-0.106, 1.524, 0.000),(-0.093, 1.524, 0.000),(-0.079, 1.524, 0.000),(-0.066, 1.524, 0.000),(-0.052, 1.524, 0.000),(-0.039, 1.524, 0.000),(-0.025, 1.524, 0.000),(-0.012, 1.524, 0.000),(0.002, 1.524, 0.000),(0.015, 1.524, 0.000),(0.029, 1.524, 0.000),(0.042, 1.524, 0.000),(0.056, 1.524, 0.000),(0.069, 1.524, 0.000),(0.083, 1.524, 0.000),(0.096, 1.524, 0.000),(0.110, 1.524, 0.000),(0.123, 1.524, 0.000),(0.137, 1.524, 0.000),(0.150, 1.524, 0.000),(0.164, 1.524, 0.000),(0.177, 1.524, 0.000),(0.191, 1.524, 0.000),(0.204, 1.524, 0.000),(0.218, 1.524, 0.000),(0.231, 1.524, 0.000),(0.245, 1.524, 0.000),(0.258, 1.524, 0.000),(0.272, 1.524, 0.000),(0.285, 1.524, 0.000),(0.299, 1.524, 0.000),(0.312, 1.524, 0.000),(0.326, 1.524, 0.000),(0.339, 1.524, 0.000),(0.353, 1.524, 0.000),(0.366, 1.524, 0.000),(0.380, 1.524, 0.000),(0.393, 1.524, 0.000),(0.407, 1.524, 0.000),(0.420, 1.524, 0.000),(0.434, 1.524, 0.000),(0.447, 1.524, 0.000),(0.461, 1.524, 0.000),(0.474, 1.524, 0.000),(0.488, 1.524, 0.000),(0.501, 1.524, 0.000),(0.515, 1.524, 0.000),(0.528, 1.524, 0.000),(0.542, 1.524, 0.000),(0.555, 1.524, 0.000),(0.569, 1.524, 0.000),(0.582, 1.524, 0.000),(0.596, 1.524, 0.000),(0.609, 1.524, 0.000),(0.623, 1.524, 0.000),(0.636, 1.524, 0.000),(0.650, 1.524, 0.000),(0.663, 1.524, 0.000),(0.677, 1.524, 0.000),(0.690, 1.524, 0.000),(0.704, 1.524, 0.000),(0.711, 1.524, 0.000),(0.711, 1.524, 0.000),(0.724, 1.524, -0.014),(0.738, 1.524, -0.029),(0.751, 1.523, -0.043),(0.763, 1.523, -0.058),(0.776, 1.522, -0.073),(0.789, 1.521, -0.088),(0.801, 1.519, -0.103),(0.813, 1.518, -0.119),(0.825, 1.517, -0.134),(0.837, 1.515, -0.150),(0.849, 1.513, -0.166),(0.861, 1.511, -0.182),(0.872, 1.509, -0.198),(0.883, 1.506, -0.215),(0.894, 1.504, -0.232),(0.905, 1.501, -0.249),(0.915, 1.499, -0.266),(0.926, 1.496, -0.284),(0.936, 1.492, -0.302),(0.947, 1.489, -0.320),(0.957, 1.486, -0.339),(0.967, 1.482, -0.359),(0.977, 1.478, -0.378),(0.987, 1.474, -0.399),(0.997, 1.470, -0.420),(1.006, 1.465, -0.441),(1.015, 1.461, -0.463),(1.025, 1.456, -0.486),(1.034, 1.451, -0.509),(1.042, 1.446, -0.533),(1.051, 1.441, -0.558),(1.059, 1.436, -0.583),(1.067, 1.430, -0.609),(1.075, 1.425, -0.636),(1.083, 1.419, -0.664),(1.090, 1.413, -0.694),(1.097, 1.407, -0.724),(1.104, 1.401, -0.755),(1.110, 1.395, -0.787),(1.116, 1.388, -0.821),(1.122, 1.382, -0.856),(1.128, 1.375, -0.893),(1.133, 1.369, -0.932),(1.138, 1.362, -0.973),(1.142, 1.355, -1.015),(1.146, 1.348, -1.060),(1.150, 1.342, -1.108),(1.153, 1.335, -1.158),(1.156, 1.328, -1.211),(1.158, 1.321, -1.268),(1.160, 1.314, -1.327),(1.161, 1.307, -1.390),(1.162, 1.300, -1.456),(1.163, 1.294, -1.525),(1.163, 1.287, -1.597),(1.163, 1.281, -1.671),(1.162, 1.274, -1.747),(1.160, 1.268, -1.824),(1.159, 1.263, -1.901),(1.157, 1.257, -1.976),(1.154, 1.252, -2.050),(1.152, 1.247, -2.121),(1.149, 1.243, -2.188),(1.145, 1.239, -2.252),(1.142, 1.235, -2.312),(1.139, 1.231, -2.370),(1.135, 1.228, -2.426),(1.131, 1.224, -2.481),(1.126, 1.221, -2.534),(1.122, 1.218, -2.585),(1.117, 1.215, -2.635),(1.111, 1.212, -2.682),(1.106, 1.210, -2.727),(1.100, 1.208, -2.770),(1.094, 1.205, -2.811),(1.088, 1.203, -2.850),(1.081, 1.202, -2.886),(1.075, 1.200, -2.921),(1.068, 1.198, -2.954),(1.061, 1.197, -2.986),(1.054, 1.196, -3.015),(1.046, 1.195, -3.044),(1.039, 1.195, -3.071),(1.031, 1.194, -3.096),(1.023, 1.194, -3.121),(1.016, 1.194, 3.142),(1.016, 1.194, 3.142),(1.008, 1.194, 3.142),(0.999, 1.194, 3.142),(0.991, 1.194, 3.142),(0.982, 1.194, 3.142),(0.974, 1.194, 3.142),(0.965, 1.194, 3.142),(0.956, 1.194, 3.142),(0.947, 1.194, 3.142),(0.938, 1.194, 3.142),(0.930, 1.194, 3.142),(0.921, 1.194, 3.142),(0.913, 1.194, 3.142),(0.905, 1.194, 3.142),(0.897, 1.194, 3.142),(0.889, 1.194, 3.142),(0.882, 1.194, 3.142),(0.874, 1.194, 3.142),(0.867, 1.194, 3.142),(0.860, 1.194, 3.142),(0.853, 1.194, 3.142),(0.846, 1.194, 3.142),(0.839, 1.194, 3.142),(0.833, 1.194, 3.142),(0.826, 1.194, 3.142),(0.820, 1.194, 3.142),(0.814, 1.194, 3.142),(0.808, 1.194, 3.142),(0.802, 1.194, 3.142),(0.797, 1.194, 3.142),(0.791, 1.194, 3.142),(0.786, 1.194, 3.142),(0.780, 1.194, 3.142),(0.775, 1.194, 3.142),(0.770, 1.194, 3.142),(0.766, 1.194, 3.142),(0.761, 1.194, 3.142),(0.757, 1.194, 3.142),(0.752, 1.194, 3.142),(0.748, 1.194, 3.142),(0.744, 1.194, 3.142),(0.740, 1.194, 3.142),(0.737, 1.194, 3.142),(0.733, 1.194, 3.142),(0.730, 1.194, 3.142),(0.726, 1.194, 3.142),(0.723, 1.194, 3.142),(0.720, 1.194, 3.142),(0.717, 1.194, 3.142),(0.715, 1.194, 3.142),(0.712, 1.194, 3.142),(0.710, 1.194, 3.142),(0.708, 1.194, 3.142),(0.706, 1.194, 3.142),(0.704, 1.194, 3.142),(0.702, 1.194, 3.142),(0.700, 1.194, 3.142),(0.699, 1.194, 3.142),(0.698, 1.194, 3.142),(0.697, 1.194, 3.142)};
33V = {(0.000, 0.000),(0.015, 0.018),(0.030, 0.036),(0.045, 0.054),(0.060, 0.072),(0.075, 0.090),(0.090, 0.108),(0.105, 0.127),(0.120, 0.146),(0.135, 0.165),(0.150, 0.185),(0.165, 0.205),(0.180, 0.225),(0.195, 0.246),(0.210, 0.268),(0.225, 0.290),(0.240, 0.313),(0.255, 0.337),(0.270, 0.362),(0.285, 0.387),(0.300, 0.413),(0.315, 0.441),(0.330, 0.469),(0.345, 0.499),(0.360, 0.529),(0.375, 0.562),(0.390, 0.595),(0.405, 0.631),(0.420, 0.667),(0.435, 0.706),(0.450, 0.747),(0.465, 0.789),(0.480, 0.834),(0.495, 0.880),(0.510, 0.929),(0.525, 0.981),(0.540, 1.034),(0.555, 1.091),(0.570, 1.150),(0.585, 1.211),(0.600, 1.275),(0.615, 1.342),(0.630, 1.411),(0.645, 1.483),(0.660, 1.556),(0.675, 1.631),(0.690, 1.706),(0.705, 1.782),(0.720, 1.858),(0.735, 1.932),(0.750, 2.003),(0.765, 2.070),(0.780, 2.131),(0.795, 2.184),(0.810, 2.228),(0.825, 2.260),(0.840, 2.278),(0.855, 2.280),(0.870, 2.265),(0.885, 2.229),(0.900, 2.173),(0.915, 2.096),(0.930, 1.996),(0.945, 1.873),(0.960, 1.730),(0.975, 1.565),(0.990, 1.381),(1.005, 1.180),(1.020, 0.964),(1.035, 0.735),(1.050, 0.495),(1.065, 0.247),(1.080, -0.006),(1.095, -0.262),(1.110, -0.517),(1.125, -0.769),(1.140, -1.015),(1.155, -1.253),(1.167, -1.474),(1.152, -1.636),(1.137, -1.770),(1.122, -1.877),(1.107, -1.959),(1.092, -2.017),(1.077, -2.053),(1.062, -2.071),(1.053, -2.084),(1.050, -2.093),(1.048, -2.093),(1.048, -2.084),(1.049, -2.068),(1.051, -2.045),(1.054, -2.017),(1.058, -1.983),(1.062, -1.946),(1.067, -1.905),(1.073, -1.862),(1.080, -1.816),(1.086, -1.768),(1.093, -1.719),(1.100, -1.669),(1.107, -1.619),(1.115, -1.569),(1.122, -1.519),(1.129, -1.469),(1.136, -1.420),(1.144, -1.372),(1.151, -1.325),(1.157, -1.279),(1.164, -1.234),(1.171, -1.190),(1.177, -1.148),(1.183, -1.107),(1.189, -1.068),(1.195, -1.030),(1.201, -0.993),(1.206, -0.958),(1.211, -0.924),(1.216, -0.892),(1.221, -0.861),(1.225, -0.831),(1.230, -0.802),(1.234, -0.775),(1.238, -0.748),(1.242, -0.734),(1.242, 0.000),(1.257, 0.000),(1.272, 0.000),(1.287, 0.000),(1.302, 0.000),(1.317, 0.000),(1.332, 0.000),(1.347, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, -1.422),(1.335, -1.439),(1.320, -1.456),(1.305, -1.473),(1.290, -1.490),(1.275, -1.508),(1.260, -1.525),(1.245, -1.543),(1.230, -1.561),(1.215, -1.579),(1.200, -1.598),(1.185, -1.617),(1.170, -1.636),(1.155, -1.656),(1.140, -1.676),(1.125, -1.697),(1.110, -1.718),(1.103, -1.753),(1.098, -1.792),(1.092, -1.833),(1.087, -1.875),(1.081, -1.920),(1.074, -1.967),(1.068, -2.016),(1.061, -2.067),(1.053, -2.122),(1.046, -2.179),(1.038, -2.239),(1.029, -2.303),(1.020, -2.371),(1.011, -2.442),(1.001, -2.518),(0.990, -2.599),(0.979, -2.686),(0.967, -2.777),(0.954, -2.875),(0.941, -2.979),(0.926, -3.090),(0.911, -3.209),(0.896, -3.339),(0.881, -3.481),(0.866, -3.638),(0.851, -3.809),(0.836, -3.996),(0.821, -4.202),(0.806, -4.427),(0.791, -4.672),(0.776, -4.938),(0.761, -5.224),(0.746, -5.529),(0.731, -5.850),(0.716, -6.181),(0.701, -6.515),(0.686, -6.839),(0.671, -7.140),(0.656, -7.401),(0.641, -7.604),(0.626, -7.732),(0.611, -7.772),(0.596, -7.718),(0.581, -7.570),(0.566, -7.338),(0.551, -7.035),(0.536, -6.679),(0.521, -6.288),(0.506, -5.880),(0.504, -5.606),(0.518, -5.481),(0.533, -5.335),(0.548, -5.164),(0.563, -4.973),(0.578, -4.769),(0.593, -4.559),(0.608, -4.346),(0.623, -4.135),(0.638, -3.929),(0.653, -3.730),(0.668, -3.540),(0.683, -3.359),(0.698, -3.187),(0.713, -3.026),(0.728, -2.875),(0.743, -2.733),(0.758, -2.601),(0.773, -2.477),(0.788, -2.361),(0.803, -2.269),(0.803, -0.000),(0.818, -0.000),(0.833, -0.000),(0.848, -0.000),(0.863, -0.000),(0.878, -0.000),(0.893, -0.000),(0.896, -0.000),(0.881, -0.000),(0.866, -0.000),(0.851, -0.000),(0.836, -0.000),(0.821, -0.000),(0.806, -0.000),(0.791, -0.000),(0.776, -0.000),(0.761, -0.000),(0.746, -0.000),(0.731, -0.000),(0.716, -0.000),(0.701, -0.000),(0.686, -0.000),(0.671, -0.000),(0.656, -0.000),(0.641, -0.000),(0.626, -0.000),(0.611, -0.000),(0.596, -0.000),(0.581, -0.000),(0.566, -0.000),(0.551, 0.000),(0.536, 0.000),(0.521, 0.000),(0.506, 0.000),(0.491, 0.000),(0.476, 0.000),(0.461, 0.000),(0.446, 0.000),(0.431, 0.000),(0.416, 0.000),(0.401, 0.000),(0.386, 0.000),(0.371, 0.000),(0.356, 0.000),(0.341, 0.000),(0.326, 0.000),(0.311, 0.000),(0.296, 0.000),(0.281, 0.000),(0.266, 0.000),(0.251, 0.000),(0.236, 0.000),(0.221, 0.000),(0.206, 0.000),(0.191, 0.000),(0.176, 0.000),(0.161, 0.000),(0.146, 0.000),(0.131, 0.000),(0.116, 0.000)};
34)";
35
36const std::string skills_3 = R"(
37P = {(0.267, -0.267, -0.785),(0.267, -0.267, -0.786),(0.267, -0.267, -0.786),(0.268, -0.268, -0.786),(0.268, -0.268, -0.786),(0.269, -0.269, -0.787),(0.269, -0.269, -0.788),(0.270, -0.270, -0.788),(0.271, -0.271, -0.789),(0.272, -0.272, -0.790),(0.273, -0.273, -0.791),(0.274, -0.274, -0.792),(0.275, -0.275, -0.793),(0.277, -0.277, -0.795),(0.278, -0.278, -0.796),(0.280, -0.280, -0.798),(0.281, -0.282, -0.799),(0.283, -0.283, -0.801),(0.285, -0.285, -0.803),(0.287, -0.287, -0.804),(0.289, -0.290, -0.806),(0.291, -0.292, -0.808),(0.293, -0.294, -0.810),(0.296, -0.297, -0.812),(0.298, -0.299, -0.814),(0.301, -0.302, -0.816),(0.304, -0.305, -0.819),(0.306, -0.308, -0.821),(0.309, -0.311, -0.823),(0.312, -0.314, -0.826),(0.315, -0.317, -0.828),(0.318, -0.321, -0.830),(0.322, -0.324, -0.833),(0.325, -0.328, -0.835),(0.328, -0.332, -0.838),(0.332, -0.336, -0.840),(0.335, -0.340, -0.843),(0.339, -0.344, -0.845),(0.343, -0.348, -0.848),(0.347, -0.353, -0.850),(0.351, -0.357, -0.853),(0.355, -0.362, -0.855),(0.359, -0.366, -0.858),(0.363, -0.371, -0.860),(0.367, -0.376, -0.863),(0.372, -0.382, -0.865),(0.376, -0.387, -0.868),(0.381, -0.392, -0.870),(0.385, -0.398, -0.873),(0.390, -0.403, -0.875),(0.395, -0.409, -0.877),(0.400, -0.415, -0.880),(0.405, -0.421, -0.882),(0.410, -0.427, -0.884),(0.415, -0.433, -0.886),(0.420, -0.440, -0.888),(0.425, -0.446, -0.890),(0.431, -0.453, -0.892),(0.436, -0.460, -0.894),(0.442, -0.467, -0.896),(0.447, -0.474, -0.898),(0.453, -0.481, -0.900),(0.459, -0.488, -0.901),(0.465, -0.496, -0.903),(0.471, -0.503, -0.904),(0.477, -0.511, -0.906),(0.483, -0.519, -0.907),(0.489, -0.526, -0.908),(0.495, -0.534, -0.909),(0.502, -0.543, -0.910),(0.508, -0.551, -0.911),(0.515, -0.559, -0.912),(0.521, -0.568, -0.913),(0.528, -0.577, -0.913),(0.535, -0.585, -0.914),(0.542, -0.594, -0.914),(0.549, -0.603, -0.914),(0.556, -0.612, -0.914),(0.563, -0.622, -0.914),(0.570, -0.631, -0.914),(0.577, -0.641, -0.914),(0.585, -0.650, -0.914),(0.592, -0.660, -0.913),(0.600, -0.670, -0.912),(0.608, -0.680, -0.911),(0.615, -0.690, -0.910),(0.623, -0.700, -0.909),(0.631, -0.710, -0.907),(0.639, -0.721, -0.906),(0.648, -0.731, -0.904),(0.656, -0.741, -0.902),(0.664, -0.752, -0.899),(0.672, -0.762, -0.897),(0.680, -0.772, -0.894),(0.689, -0.783, -0.891),(0.697, -0.793, -0.888),(0.705, -0.803, -0.885),(0.713, -0.813, -0.882),(0.722, -0.823, -0.878),(0.730, -0.833, -0.874),(0.738, -0.843, -0.870),(0.747, -0.853, -0.866),(0.755, -0.862, -0.861),(0.763, -0.872, -0.856),(0.772, -0.882, -0.851),(0.780, -0.891, -0.846),(0.789, -0.901, -0.840),(0.797, -0.910, -0.834),(0.806, -0.920, -0.828),(0.814, -0.929, -0.822),(0.823, -0.938, -0.815),(0.831, -0.947, -0.808),(0.840, -0.956, -0.800),(0.849, -0.965, -0.793),(0.857, -0.974, -0.785),(0.866, -0.982, -0.776),(0.875, -0.991, -0.767),(0.884, -0.999, -0.758),(0.893, -1.008, -0.749),(0.901, -1.016, -0.739),(0.910, -1.024, -0.728),(0.919, -1.032, -0.717),(0.928, -1.039, -0.706),(0.937, -1.047, -0.694),(0.947, -1.055, -0.682),(0.956, -1.062, -0.669),(0.965, -1.069, -0.656),(0.974, -1.076, -0.642),(0.983, -1.083, -0.627),(0.993, -1.089, -0.612),(1.002, -1.096, -0.597),(1.011, -1.102, -0.581),(1.021, -1.108, -0.564),(1.030, -1.114, -0.547),(1.039, -1.120, -0.529),(1.049, -1.125, -0.510),(1.058, -1.130, -0.491),(1.068, -1.135, -0.471),(1.077, -1.140, -0.450),(1.087, -1.144, -0.429),(1.096, -1.148, -0.407),(1.106, -1.152, -0.385),(1.115, -1.156, -0.362),(1.125, -1.160, -0.338),(1.134, -1.163, -0.314),(1.144, -1.166, -0.289),(1.153, -1.169, -0.264),(1.163, -1.171, -0.238),(1.172, -1.173, -0.212),(1.182, -1.175, -0.185),(1.191, -1.177, -0.158),(1.201, -1.178, -0.131),(1.210, -1.179, -0.103),(1.219, -1.180, -0.076),(1.229, -1.181, -0.049),(1.238, -1.181, -0.022),(1.245, -1.181, 0.000),(1.245, -1.181, 0.000),(1.254, -1.181, 0.000),(1.262, -1.181, 0.000),(1.271, -1.181, 0.000),(1.279, -1.181, 0.000),(1.287, -1.181, 0.000),(1.295, -1.181, 0.000),(1.303, -1.181, 0.000),(1.311, -1.181, 0.000),(1.318, -1.181, 0.000),(1.326, -1.181, 0.000),(1.333, -1.181, 0.000),(1.340, -1.181, 0.000),(1.347, -1.181, 0.000),(1.354, -1.181, 0.000),(1.360, -1.181, 0.000),(1.367, -1.181, 0.000),(1.373, -1.181, 0.000),(1.379, -1.181, 0.000),(1.385, -1.181, 0.000),(1.391, -1.181, 0.000),(1.397, -1.181, 0.000),(1.402, -1.181, 0.000),(1.408, -1.181, 0.000),(1.413, -1.181, 0.000),(1.418, -1.181, 0.000),(1.423, -1.181, 0.000),(1.428, -1.181, 0.000),(1.433, -1.181, 0.000),(1.437, -1.181, 0.000),(1.442, -1.181, 0.000),(1.446, -1.181, 0.000),(1.450, -1.181, 0.000),(1.454, -1.181, 0.000),(1.454, -1.181, 3.142),(1.451, -1.181, 3.142),(1.447, -1.181, 3.142),(1.444, -1.181, 3.142),(1.441, -1.181, 3.142),(1.438, -1.181, 3.142),(1.435, -1.181, 3.142),(1.432, -1.181, 3.142),(1.429, -1.181, 3.142),(1.427, -1.181, 3.142),(1.425, -1.181, 3.142),(1.423, -1.181, 3.142),(1.421, -1.181, 3.142),(1.419, -1.181, 3.142),(1.418, -1.181, 0.000),(1.419, -1.181, 0.000),(1.421, -1.181, 0.000),(1.422, -1.181, 0.000),(1.422, -1.181, 0.000)};
38V = {(0.000, -0.000),(0.015, -0.011),(0.030, -0.021),(0.045, -0.032),(0.060, -0.042),(0.075, -0.052),(0.090, -0.062),(0.105, -0.073),(0.120, -0.083),(0.135, -0.092),(0.150, -0.102),(0.165, -0.111),(0.180, -0.121),(0.195, -0.130),(0.210, -0.138),(0.225, -0.147),(0.240, -0.155),(0.255, -0.163),(0.270, -0.171),(0.285, -0.178),(0.300, -0.185),(0.315, -0.192),(0.330, -0.198),(0.345, -0.204),(0.360, -0.210),(0.375, -0.215),(0.390, -0.220),(0.405, -0.224),(0.420, -0.229),(0.435, -0.232),(0.450, -0.236),(0.465, -0.239),(0.480, -0.242),(0.495, -0.244),(0.510, -0.246),(0.525, -0.248),(0.540, -0.249),(0.555, -0.250),(0.570, -0.250),(0.585, -0.250),(0.600, -0.250),(0.615, -0.249),(0.630, -0.248),(0.645, -0.247),(0.660, -0.245),(0.675, -0.243),(0.690, -0.241),(0.705, -0.238),(0.720, -0.235),(0.735, -0.232),(0.750, -0.228),(0.765, -0.224),(0.780, -0.219),(0.795, -0.215),(0.810, -0.210),(0.825, -0.204),(0.840, -0.199),(0.855, -0.193),(0.870, -0.187),(0.885, -0.180),(0.900, -0.173),(0.915, -0.166),(0.930, -0.158),(0.945, -0.151),(0.960, -0.142),(0.975, -0.134),(0.990, -0.125),(1.005, -0.116),(1.020, -0.107),(1.035, -0.097),(1.050, -0.087),(1.065, -0.076),(1.080, -0.065),(1.095, -0.054),(1.110, -0.042),(1.125, -0.030),(1.140, -0.017),(1.155, -0.004),(1.170, 0.009),(1.185, 0.024),(1.200, 0.038),(1.215, 0.053),(1.230, 0.069),(1.245, 0.086),(1.260, 0.103),(1.275, 0.120),(1.290, 0.139),(1.305, 0.158),(1.320, 0.179),(1.324, 0.198),(1.321, 0.217),(1.319, 0.236),(1.316, 0.255),(1.313, 0.275),(1.310, 0.295),(1.308, 0.315),(1.305, 0.336),(1.302, 0.357),(1.299, 0.379),(1.295, 0.401),(1.292, 0.424),(1.289, 0.447),(1.286, 0.471),(1.282, 0.496),(1.279, 0.521),(1.275, 0.547),(1.271, 0.574),(1.267, 0.602),(1.263, 0.631),(1.259, 0.661),(1.255, 0.692),(1.250, 0.724),(1.246, 0.757),(1.241, 0.791),(1.236, 0.827),(1.231, 0.864),(1.226, 0.902),(1.220, 0.941),(1.215, 0.982),(1.209, 1.024),(1.203, 1.068),(1.196, 1.114),(1.190, 1.161),(1.183, 1.209),(1.176, 1.259),(1.169, 1.311),(1.162, 1.364),(1.154, 1.419),(1.146, 1.475),(1.138, 1.533),(1.130, 1.592),(1.122, 1.652),(1.113, 1.714),(1.104, 1.776),(1.095, 1.840),(1.086, 1.903),(1.077, 1.968),(1.068, 2.032),(1.059, 2.096),(1.050, 2.160),(1.041, 2.223),(1.032, 2.284),(1.023, 2.344),(1.014, 2.403),(1.006, 2.459),(0.998, 2.512),(0.990, 2.562),(0.983, 2.609),(0.976, 2.652),(0.969, 2.691),(0.964, 2.726),(0.958, 2.757),(0.946, 2.759),(0.931, 2.746),(0.916, 2.726),(0.901, 2.698),(0.886, 2.661),(0.873, 0.000),(0.873, 0.000),(0.858, 0.000),(0.843, 0.000),(0.828, 0.000),(0.813, 0.000),(0.798, 0.000),(0.783, 0.000),(0.768, 0.000),(0.753, 0.000),(0.738, 0.000),(0.723, 0.000),(0.708, 0.000),(0.693, 0.000),(0.678, 0.000),(0.663, 0.000),(0.648, 0.000),(0.633, 0.000),(0.618, 0.000),(0.603, 0.000),(0.588, 0.000),(0.573, 0.000),(0.558, 0.000),(0.543, 0.000),(0.528, 0.000),(0.513, 0.000),(0.498, 0.000),(0.483, 0.000),(0.468, 0.000),(0.453, 0.000),(0.438, 0.000),(0.423, 0.000),(0.408, 0.000),(0.393, 0.000),(0.378, 0.000),(0.363, 0.000),(0.348, 0.000),(0.333, 0.000),(0.318, 0.000),(0.303, 0.000),(0.288, -0.000),(0.273, -0.000),(0.258, -0.000),(0.243, -0.000),(0.228, -0.000),(0.213, -0.000),(0.198, -0.000),(0.183, -0.000),(0.168, 0.000),(0.153, 0.000),(0.138, 0.000),(0.123, 0.000),(0.108, 0.000)};
39)";
40
41const std::string skills_4 = R"(
42P = {(1.397, -1.194, 3.142),(1.397, -1.194, -3.141),(1.397, -1.194, -3.141),(1.396, -1.194, -3.141),(1.395, -1.194, -3.140),(1.395, -1.194, -3.139),(1.394, -1.194, -3.138),(1.393, -1.194, -3.137),(1.392, -1.194, -3.135),(1.390, -1.194, -3.133),(1.389, -1.194, -3.132),(1.387, -1.194, -3.130),(1.385, -1.194, -3.127),(1.383, -1.194, -3.125),(1.381, -1.194, -3.122),(1.379, -1.194, -3.119),(1.377, -1.194, -3.116),(1.374, -1.194, -3.113),(1.371, -1.194, -3.109),(1.369, -1.195, -3.105),(1.366, -1.195, -3.101),(1.362, -1.195, -3.097),(1.359, -1.195, -3.092),(1.356, -1.195, -3.087),(1.352, -1.195, -3.082),(1.348, -1.196, -3.077),(1.344, -1.196, -3.071),(1.340, -1.196, -3.064),(1.336, -1.196, -3.058),(1.332, -1.197, -3.051),(1.327, -1.197, -3.043),(1.323, -1.198, -3.036),(1.318, -1.198, -3.027),(1.313, -1.199, -3.019),(1.308, -1.199, -3.010),(1.303, -1.200, -3.000),(1.297, -1.201, -2.990),(1.292, -1.202, -2.979),(1.286, -1.203, -2.967),(1.281, -1.204, -2.956),(1.275, -1.205, -2.943),(1.269, -1.206, -2.930),(1.263, -1.208, -2.916),(1.256, -1.209, -2.901),(1.250, -1.211, -2.886),(1.243, -1.212, -2.870),(1.237, -1.214, -2.853),(1.230, -1.216, -2.835),(1.223, -1.219, -2.817),(1.216, -1.221, -2.798),(1.209, -1.224, -2.778),(1.202, -1.227, -2.757),(1.195, -1.230, -2.736),(1.188, -1.233, -2.714),(1.180, -1.236, -2.692),(1.173, -1.240, -2.669),(1.165, -1.244, -2.646),(1.158, -1.248, -2.623),(1.150, -1.252, -2.600),(1.143, -1.257, -2.578),(1.135, -1.262, -2.555),(1.128, -1.267, -2.534),(1.120, -1.272, -2.513),(1.113, -1.278, -2.494),(1.105, -1.284, -2.476),(1.097, -1.290, -2.459),(1.090, -1.296, -2.444),(1.082, -1.303, -2.431),(1.074, -1.309, -2.420),(1.067, -1.316, -2.412),(1.059, -1.323, -2.406),(1.051, -1.331, -2.402),(1.043, -1.338, -2.401),(1.035, -1.345, -2.402),(1.027, -1.353, -2.406),(1.018, -1.360, -2.412),(1.010, -1.368, -2.421),(1.001, -1.375, -2.433),(0.992, -1.383, -2.447),(0.983, -1.390, -2.462),(0.974, -1.397, -2.479),(0.965, -1.404, -2.497),(0.957, -1.411, -2.516),(0.948, -1.417, -2.536),(0.939, -1.423, -2.556),(0.930, -1.429, -2.577),(0.921, -1.434, -2.597),(0.912, -1.440, -2.618),(0.903, -1.445, -2.639),(0.893, -1.450, -2.660),(0.884, -1.454, -2.681),(0.875, -1.459, -2.701),(0.865, -1.463, -2.722),(0.855, -1.468, -2.742),(0.846, -1.472, -2.761),(0.836, -1.476, -2.781),(0.825, -1.479, -2.800),(0.815, -1.483, -2.818),(0.805, -1.486, -2.836),(0.794, -1.489, -2.854),(0.784, -1.492, -2.871),(0.773, -1.495, -2.887),(0.762, -1.498, -2.903),(0.751, -1.501, -2.919),(0.740, -1.503, -2.934),(0.729, -1.505, -2.948),(0.718, -1.507, -2.962),(0.707, -1.509, -2.976),(0.695, -1.511, -2.989),(0.684, -1.513, -3.001),(0.672, -1.514, -3.013),(0.661, -1.516, -3.025),(0.649, -1.517, -3.036),(0.637, -1.518, -3.047),(0.625, -1.519, -3.058),(0.613, -1.520, -3.068),(0.601, -1.521, -3.078),(0.589, -1.522, -3.087),(0.577, -1.522, -3.096),(0.565, -1.523, -3.105),(0.552, -1.523, -3.113),(0.540, -1.524, -3.122),(0.528, -1.524, -3.130),(0.515, -1.524, -3.137),(0.508, -1.524, 3.142),(0.508, -1.524, 3.142),(0.495, -1.524, 3.142),(0.483, -1.524, 3.142),(0.470, -1.524, 3.142),(0.457, -1.524, 3.142),(0.444, -1.524, 3.142),(0.430, -1.524, 3.142),(0.417, -1.524, 3.142),(0.403, -1.524, 3.142),(0.390, -1.524, 3.142),(0.376, -1.524, 3.142),(0.363, -1.524, 3.142),(0.349, -1.524, 3.142),(0.336, -1.524, 3.142),(0.322, -1.524, 3.142),(0.309, -1.524, 3.142),(0.295, -1.524, 3.142),(0.282, -1.524, 3.142),(0.268, -1.524, 3.142),(0.255, -1.524, 3.142),(0.241, -1.524, 3.142),(0.228, -1.524, 3.142),(0.214, -1.524, 3.142),(0.201, -1.524, 3.142),(0.187, -1.524, 3.142),(0.174, -1.524, 3.142),(0.160, -1.524, 3.142),(0.147, -1.524, 3.142),(0.133, -1.524, 3.142),(0.120, -1.524, 3.142),(0.106, -1.524, 3.142),(0.093, -1.524, 3.142),(0.079, -1.524, 3.142),(0.066, -1.524, 3.142),(0.052, -1.524, 3.142),(0.039, -1.524, 3.142),(0.025, -1.524, 3.142),(0.012, -1.524, 3.142),(-0.002, -1.524, 3.142),(-0.015, -1.524, 3.142),(-0.029, -1.524, 3.142),(-0.042, -1.524, 3.142),(-0.056, -1.524, 3.142),(-0.069, -1.524, 3.142),(-0.083, -1.524, 3.142),(-0.096, -1.524, 3.142),(-0.110, -1.524, 3.142),(-0.123, -1.524, 3.142),(-0.137, -1.524, 3.142),(-0.150, -1.524, 3.142),(-0.164, -1.524, 3.142),(-0.177, -1.524, 3.142),(-0.191, -1.524, 3.142),(-0.204, -1.524, 3.142),(-0.218, -1.524, 3.142),(-0.231, -1.524, 3.142),(-0.245, -1.524, 3.142),(-0.258, -1.524, 3.142),(-0.272, -1.524, 3.142),(-0.285, -1.524, 3.142),(-0.299, -1.524, 3.142),(-0.312, -1.524, 3.142),(-0.326, -1.524, 3.142),(-0.339, -1.524, 3.142),(-0.353, -1.524, 3.142),(-0.366, -1.524, 3.142),(-0.380, -1.524, 3.142),(-0.393, -1.524, 3.142),(-0.407, -1.524, 3.142),(-0.420, -1.524, 3.142),(-0.434, -1.524, 3.142),(-0.447, -1.524, 3.142),(-0.461, -1.524, 3.142),(-0.474, -1.524, 3.142),(-0.488, -1.524, 3.142),(-0.501, -1.524, 3.142),(-0.515, -1.524, 3.142),(-0.528, -1.524, 3.142),(-0.542, -1.524, 3.142),(-0.555, -1.524, 3.142),(-0.569, -1.524, 3.142),(-0.582, -1.524, 3.142),(-0.596, -1.524, 3.142),(-0.609, -1.524, 3.142),(-0.623, -1.524, 3.142),(-0.636, -1.524, 3.142),(-0.650, -1.524, 3.142),(-0.663, -1.524, 3.142),(-0.677, -1.524, 3.142),(-0.690, -1.524, 3.142),(-0.704, -1.524, 3.142),(-0.711, -1.524, 3.142),(-0.711, -1.524, 3.142),(-0.724, -1.524, 3.134),(-0.738, -1.524, 3.127),(-0.751, -1.524, 3.119),(-0.763, -1.523, 3.112),(-0.776, -1.523, 3.104),(-0.789, -1.522, 3.097),(-0.801, -1.522, 3.089),(-0.814, -1.521, 3.082),(-0.826, -1.520, 3.074),(-0.838, -1.519, 3.066),(-0.851, -1.518, 3.058),(-0.863, -1.517, 3.049),(-0.875, -1.516, 3.041),(-0.887, -1.515, 3.032),(-0.900, -1.513, 3.024),(-0.912, -1.512, 3.015),(-0.924, -1.510, 3.006),(-0.936, -1.509, 2.996),(-0.948, -1.507, 2.987),(-0.960, -1.505, 2.977),(-0.972, -1.503, 2.967),(-0.983, -1.501, 2.957),(-0.995, -1.498, 2.946),(-1.007, -1.496, 2.935),(-1.019, -1.494, 2.924),(-1.030, -1.491, 2.913),(-1.042, -1.488, 2.901),(-1.053, -1.485, 2.889),(-1.064, -1.482, 2.876),(-1.076, -1.479, 2.863),(-1.087, -1.476, 2.850),(-1.098, -1.472, 2.836),(-1.109, -1.469, 2.822),(-1.120, -1.465, 2.807),(-1.130, -1.461, 2.791),(-1.141, -1.458, 2.775),(-1.151, -1.453, 2.758),(-1.161, -1.449, 2.740),(-1.171, -1.445, 2.722),(-1.181, -1.440, 2.702),(-1.191, -1.436, 2.682),(-1.200, -1.431, 2.660),(-1.209, -1.426, 2.637),(-1.218, -1.421, 2.613),(-1.226, -1.416, 2.587),(-1.235, -1.411, 2.559),(-1.243, -1.405, 2.530),(-1.251, -1.400, 2.498),(-1.258, -1.394, 2.463),(-1.265, -1.388, 2.425),(-1.272, -1.382, 2.384),(-1.278, -1.375, 2.338),(-1.284, -1.369, 2.287),(-1.290, -1.362, 2.231),(-1.295, -1.355, 2.168),(-1.299, -1.348, 2.097),(-1.303, -1.341, 2.018),(-1.306, -1.333, 1.929),(-1.309, -1.326, 1.830),(-1.310, -1.318, 1.722),(-1.311, -1.311, 1.606),(-1.311, -1.303, 1.486),(-1.310, -1.296, 1.366),(-1.308, -1.289, 1.250),(-1.305, -1.283, 1.141),(-1.302, -1.276, 1.042),(-1.298, -1.271, 0.953),(-1.294, -1.266, 0.874),(-1.290, -1.261, 0.805),(-1.286, -1.256, 0.744),(-1.281, -1.252, 0.690),(-1.276, -1.249, 0.642),(-1.271, -1.245, 0.597),(-1.266, -1.241, 0.555),(-1.260, -1.238, 0.517),(-1.254, -1.235, 0.481),(-1.248, -1.232, 0.447),(-1.242, -1.229, 0.416),(-1.235, -1.226, 0.387),(-1.228, -1.223, 0.360),(-1.221, -1.221, 0.334),(-1.214, -1.218, 0.310),(-1.206, -1.216, 0.288),(-1.199, -1.214, 0.267),(-1.191, -1.212, 0.246),(-1.183, -1.210, 0.227),(-1.175, -1.208, 0.209),(-1.166, -1.206, 0.192),(-1.158, -1.205, 0.176),(-1.149, -1.203, 0.160),(-1.140, -1.202, 0.145),(-1.131, -1.201, 0.131),(-1.122, -1.200, 0.117),(-1.113, -1.199, 0.104),(-1.103, -1.198, 0.091),(-1.093, -1.197, 0.079),(-1.084, -1.196, 0.067),(-1.074, -1.196, 0.056),(-1.063, -1.195, 0.045),(-1.053, -1.195, 0.034),(-1.043, -1.194, 0.024),(-1.033, -1.194, 0.015),(-1.023, -1.194, 0.006),(-1.016, -1.194, 0.000),(-1.016, -1.194, 0.000),(-1.006, -1.194, 0.000),(-0.997, -1.194, 0.000),(-0.987, -1.194, 0.000),(-0.978, -1.194, 0.000),(-0.969, -1.194, 0.000),(-0.960, -1.194, 0.000),(-0.951, -1.194, 0.000),(-0.942, -1.194, 0.000),(-0.933, -1.194, 0.000),(-0.925, -1.194, 0.000),(-0.917, -1.194, 0.000),(-0.909, -1.194, 0.000),(-0.901, -1.194, 0.000),(-0.893, -1.194, 0.000),(-0.885, -1.194, 0.000),(-0.877, -1.194, 0.000),(-0.870, -1.194, 0.000),(-0.863, -1.194, 0.000),(-0.856, -1.194, 0.000),(-0.849, -1.194, 0.000),(-0.842, -1.194, 0.000),(-0.835, -1.194, 0.000),(-0.829, -1.194, 0.000),(-0.823, -1.194, 0.000),(-0.816, -1.194, 0.000),(-0.810, -1.194, 0.000),(-0.805, -1.194, 0.000),(-0.799, -1.194, 0.000),(-0.793, -1.194, 0.000),(-0.788, -1.194, 0.000),(-0.782, -1.194, 0.000),(-0.777, -1.194, 0.000),(-0.772, -1.194, 0.000),(-0.768, -1.194, 0.000),(-0.763, -1.194, 0.000),(-0.758, -1.194, 0.000),(-0.754, -1.194, 0.000),(-0.750, -1.194, 0.000),(-0.746, -1.194, 0.000),(-0.742, -1.194, 0.000),(-0.738, -1.194, 0.000),(-0.734, -1.194, 0.000),(-0.731, -1.194, 0.000),(-0.727, -1.194, 0.000),(-0.724, -1.194, 0.000),(-0.721, -1.194, 0.000),(-0.718, -1.194, 0.000),(-0.716, -1.194, 0.000),(-0.713, -1.194, 0.000),(-0.711, -1.194, 0.000),(-0.708, -1.194, 0.000),(-0.706, -1.194, 0.000),(-0.704, -1.194, 0.000),(-0.702, -1.194, 0.000),(-0.701, -1.194, 0.000),(-0.699, -1.194, 0.000),(-0.698, -1.194, 0.000),(-0.697, -1.194, 0.000)};
43V = {(0.000, 0.000),(0.015, 0.018),(0.030, 0.036),(0.045, 0.054),(0.060, 0.072),(0.075, 0.090),(0.090, 0.108),(0.105, 0.127),(0.120, 0.146),(0.135, 0.165),(0.150, 0.185),(0.165, 0.205),(0.180, 0.225),(0.195, 0.246),(0.210, 0.268),(0.225, 0.290),(0.240, 0.313),(0.255, 0.337),(0.270, 0.362),(0.285, 0.387),(0.300, 0.413),(0.315, 0.441),(0.330, 0.469),(0.345, 0.499),(0.360, 0.529),(0.375, 0.562),(0.390, 0.595),(0.405, 0.631),(0.420, 0.667),(0.435, 0.706),(0.450, 0.747),(0.465, 0.789),(0.480, 0.834),(0.495, 0.880),(0.510, 0.929),(0.525, 0.981),(0.540, 1.034),(0.555, 1.091),(0.570, 1.150),(0.585, 1.211),(0.600, 1.275),(0.615, 1.342),(0.630, 1.411),(0.645, 1.483),(0.660, 1.556),(0.675, 1.631),(0.690, 1.706),(0.705, 1.782),(0.720, 1.858),(0.735, 1.932),(0.750, 2.003),(0.765, 2.070),(0.780, 2.131),(0.795, 2.184),(0.810, 2.228),(0.825, 2.260),(0.840, 2.278),(0.855, 2.280),(0.870, 2.265),(0.885, 2.229),(0.900, 2.173),(0.915, 2.096),(0.930, 1.996),(0.945, 1.873),(0.960, 1.730),(0.975, 1.565),(0.990, 1.381),(1.005, 1.180),(1.020, 0.964),(1.035, 0.735),(1.050, 0.495),(1.065, 0.247),(1.080, -0.006),(1.095, -0.262),(1.110, -0.517),(1.125, -0.769),(1.140, -1.015),(1.155, -1.253),(1.167, -1.474),(1.152, -1.636),(1.137, -1.770),(1.122, -1.877),(1.107, -1.959),(1.092, -2.017),(1.077, -2.053),(1.062, -2.071),(1.053, -2.084),(1.050, -2.093),(1.048, -2.093),(1.048, -2.084),(1.049, -2.068),(1.051, -2.045),(1.054, -2.017),(1.058, -1.983),(1.062, -1.946),(1.067, -1.905),(1.073, -1.862),(1.080, -1.816),(1.086, -1.768),(1.093, -1.719),(1.100, -1.669),(1.107, -1.619),(1.115, -1.569),(1.122, -1.519),(1.129, -1.469),(1.136, -1.420),(1.144, -1.372),(1.151, -1.325),(1.157, -1.279),(1.164, -1.234),(1.171, -1.190),(1.177, -1.148),(1.183, -1.107),(1.189, -1.068),(1.195, -1.030),(1.201, -0.993),(1.206, -0.958),(1.211, -0.924),(1.216, -0.892),(1.221, -0.861),(1.225, -0.831),(1.230, -0.802),(1.234, -0.775),(1.238, -0.748),(1.242, -0.734),(1.242, 0.000),(1.257, 0.000),(1.272, 0.000),(1.287, 0.000),(1.302, 0.000),(1.317, 0.000),(1.332, 0.000),(1.347, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, 0.000),(1.350, -0.737),(1.335, -0.740),(1.320, -0.744),(1.305, -0.749),(1.290, -0.753),(1.275, -0.757),(1.260, -0.761),(1.245, -0.766),(1.240, -0.777),(1.238, -0.790),(1.236, -0.805),(1.234, -0.819),(1.232, -0.835),(1.230, -0.851),(1.227, -0.868),(1.225, -0.886),(1.222, -0.905),(1.220, -0.924),(1.217, -0.945),(1.214, -0.967),(1.211, -0.990),(1.207, -1.015),(1.204, -1.041),(1.200, -1.069),(1.196, -1.098),(1.192, -1.129),(1.187, -1.162),(1.183, -1.198),(1.178, -1.236),(1.172, -1.277),(1.166, -1.321),(1.160, -1.368),(1.154, -1.418),(1.146, -1.473),(1.139, -1.533),(1.130, -1.597),(1.121, -1.667),(1.111, -1.743),(1.101, -1.825),(1.089, -1.915),(1.076, -2.014),(1.063, -2.122),(1.048, -2.240),(1.033, -2.372),(1.018, -2.521),(1.003, -2.690),(0.988, -2.883),(0.973, -3.103),(0.958, -3.356),(0.943, -3.648),(0.928, -3.986),(0.913, -4.381),(0.898, -4.841),(0.883, -5.379),(0.868, -6.007),(0.853, -6.733),(0.838, -7.564),(0.823, -8.489),(0.808, -9.477),(0.793, -10.459),(0.778, -11.329),(0.763, -11.948),(0.748, -12.192),(0.733, -12.001),(0.718, -11.410),(0.703, -10.534),(0.688, -9.513),(0.673, -8.466),(0.658, -7.472),(0.643, -6.574),(0.628, -5.783),(0.613, -5.099),(0.613, -4.615),(0.628, -4.278),(0.643, -3.967),(0.658, -3.682),(0.673, -3.423),(0.688, -3.187),(0.703, -2.974),(0.718, -2.780),(0.733, -2.605),(0.748, -2.446),(0.763, -2.302),(0.778, -2.171),(0.793, -2.051),(0.808, -1.942),(0.823, -1.842),(0.838, -1.751),(0.853, -1.667),(0.868, -1.589),(0.883, -1.518),(0.898, -1.452),(0.913, -1.391),(0.928, -1.334),(0.943, -1.282),(0.958, -1.233),(0.973, -1.187),(0.988, -1.145),(1.003, -1.105),(1.018, -1.067),(1.033, -1.032),(1.034, -0.986),(1.019, -0.930),(1.004, -0.879),(0.989, -0.843),(0.978, 0.000),(0.978, 0.000),(0.963, 0.000),(0.948, 0.000),(0.933, 0.000),(0.918, 0.000),(0.903, 0.000),(0.888, 0.000),(0.873, 0.000),(0.858, 0.000),(0.843, 0.000),(0.828, 0.000),(0.813, 0.000),(0.798, 0.000),(0.783, 0.000),(0.768, 0.000),(0.753, 0.000),(0.738, 0.000),(0.723, 0.000),(0.708, 0.000),(0.693, 0.000),(0.678, 0.000),(0.663, 0.000),(0.648, 0.000),(0.633, 0.000),(0.618, 0.000),(0.603, 0.000),(0.588, 0.000),(0.573, 0.000),(0.558, 0.000),(0.543, 0.000),(0.528, 0.000),(0.513, 0.000),(0.498, 0.000),(0.483, 0.000),(0.468, 0.000),(0.453, 0.000),(0.438, 0.000),(0.423, 0.000),(0.408, 0.000),(0.393, 0.000),(0.378, 0.000),(0.363, 0.000),(0.348, 0.000),(0.333, 0.000),(0.318, 0.000),(0.303, 0.000),(0.288, 0.000),(0.273, 0.000),(0.258, 0.000),(0.243, 0.000),(0.228, 0.000),(0.213, 0.000),(0.198, 0.000),(0.183, 0.000),(0.168, 0.000),(0.153, 0.000),(0.138, 0.000),(0.123, 0.000)};
44)";
45
46const std::string parkingzone_curve = R"(
47P = {(0.701, 1.219, 0.000),(0.701, 1.219, -0.000),(0.701, 1.219, -0.000),(0.702, 1.219, -0.000),(0.702, 1.219, -0.001),(0.703, 1.219, -0.001),(0.704, 1.219, -0.002),(0.705, 1.219, -0.002),(0.706, 1.219, -0.003),(0.708, 1.219, -0.004),(0.709, 1.219, -0.004),(0.711, 1.219, -0.005),(0.713, 1.219, -0.006),(0.715, 1.219, -0.007),(0.717, 1.219, -0.008),(0.719, 1.219, -0.010),(0.721, 1.219, -0.011),(0.724, 1.219, -0.012),(0.727, 1.219, -0.014),(0.729, 1.219, -0.015),(0.732, 1.219, -0.017),(0.736, 1.219, -0.019),(0.739, 1.219, -0.021),(0.742, 1.219, -0.022),(0.746, 1.218, -0.025),(0.750, 1.218, -0.027),(0.754, 1.218, -0.029),(0.758, 1.218, -0.031),(0.762, 1.218, -0.034),(0.766, 1.218, -0.036),(0.771, 1.218, -0.039),(0.775, 1.217, -0.042),(0.780, 1.217, -0.044),(0.785, 1.217, -0.047),(0.790, 1.217, -0.050),(0.795, 1.217, -0.054),(0.801, 1.216, -0.057),(0.806, 1.216, -0.060),(0.812, 1.216, -0.064),(0.818, 1.215, -0.068),(0.824, 1.215, -0.071),(0.830, 1.214, -0.075),(0.836, 1.214, -0.079),(0.843, 1.213, -0.084),(0.849, 1.213, -0.088),(0.856, 1.212, -0.093),(0.863, 1.211, -0.097),(0.870, 1.211, -0.102),(0.877, 1.210, -0.107),(0.884, 1.209, -0.112),(0.892, 1.208, -0.118),(0.899, 1.207, -0.123),(0.907, 1.206, -0.129),(0.915, 1.205, -0.135),(0.923, 1.204, -0.141),(0.931, 1.203, -0.147),(0.940, 1.202, -0.154),(0.948, 1.201, -0.160),(0.957, 1.199, -0.167),(0.965, 1.198, -0.174),(0.974, 1.196, -0.182),(0.983, 1.194, -0.189),(0.992, 1.193, -0.197),(1.002, 1.191, -0.205),(1.011, 1.189, -0.214),(1.020, 1.187, -0.222),(1.030, 1.184, -0.231),(1.040, 1.182, -0.240),(1.050, 1.179, -0.250),(1.060, 1.177, -0.260),(1.070, 1.174, -0.270),(1.080, 1.171, -0.280),(1.090, 1.168, -0.291),(1.100, 1.165, -0.302),(1.110, 1.162, -0.312),(1.120, 1.159, -0.323),(1.130, 1.155, -0.335),(1.140, 1.152, -0.346),(1.149, 1.148, -0.358),(1.159, 1.145, -0.369),(1.169, 1.141, -0.381),(1.178, 1.137, -0.393),(1.187, 1.133, -0.405),(1.197, 1.129, -0.418),(1.206, 1.125, -0.430),(1.215, 1.121, -0.443),(1.225, 1.116, -0.456),(1.234, 1.112, -0.469),(1.243, 1.107, -0.482),(1.251, 1.102, -0.495),(1.260, 1.097, -0.509),(1.269, 1.092, -0.522),(1.278, 1.087, -0.536),(1.286, 1.082, -0.550),(1.295, 1.077, -0.564),(1.303, 1.072, -0.578),(1.311, 1.066, -0.593),(1.320, 1.060, -0.607),(1.328, 1.055, -0.622),(1.336, 1.049, -0.636),(1.344, 1.043, -0.651),(1.351, 1.037, -0.666),(1.359, 1.031, -0.681),(1.367, 1.025, -0.696),(1.374, 1.018, -0.711),(1.382, 1.012, -0.726),(1.389, 1.005, -0.742),(1.396, 0.999, -0.757),(1.403, 0.992, -0.772),(1.410, 0.985, -0.788),(1.417, 0.978, -0.803),(1.424, 0.971, -0.819),(1.430, 0.964, -0.834),(1.437, 0.956, -0.850),(1.443, 0.949, -0.865),(1.449, 0.942, -0.881),(1.455, 0.934, -0.896),(1.462, 0.926, -0.912),(1.467, 0.919, -0.927),(1.473, 0.911, -0.943),(1.479, 0.903, -0.958),(1.484, 0.895, -0.973),(1.490, 0.887, -0.989),(1.495, 0.878, -1.004),(1.500, 0.870, -1.019),(1.506, 0.862, -1.034),(1.510, 0.853, -1.049),(1.515, 0.845, -1.064),(1.520, 0.836, -1.079),(1.525, 0.827, -1.093),(1.529, 0.818, -1.108),(1.533, 0.809, -1.122),(1.538, 0.800, -1.137),(1.542, 0.791, -1.151),(1.546, 0.782, -1.165),(1.550, 0.773, -1.179),(1.553, 0.764, -1.193),(1.557, 0.755, -1.207),(1.561, 0.745, -1.220),(1.564, 0.736, -1.233),(1.567, 0.727, -1.246),(1.570, 0.717, -1.259),(1.573, 0.708, -1.271),(1.576, 0.699, -1.283),(1.578, 0.691, -1.294),(1.581, 0.682, -1.305),(1.583, 0.673, -1.316),(1.585, 0.665, -1.327),(1.587, 0.656, -1.337),(1.589, 0.648, -1.347),(1.591, 0.640, -1.356),(1.593, 0.632, -1.366),(1.594, 0.624, -1.375),(1.596, 0.617, -1.383),(1.597, 0.609, -1.392),(1.598, 0.602, -1.400),(1.600, 0.594, -1.408),(1.601, 0.587, -1.416),(1.602, 0.580, -1.423),(1.603, 0.573, -1.431),(1.604, 0.567, -1.438),(1.605, 0.560, -1.444),(1.605, 0.554, -1.451),(1.606, 0.547, -1.457),(1.607, 0.541, -1.463),(1.607, 0.535, -1.469),(1.608, 0.529, -1.475),(1.609, 0.524, -1.480),(1.609, 0.518, -1.486),(1.609, 0.513, -1.491),(1.610, 0.507, -1.496),(1.610, 0.502, -1.501),(1.611, 0.497, -1.505),(1.611, 0.493, -1.510),(1.611, 0.488, -1.514),(1.611, 0.483, -1.518),(1.612, 0.479, -1.522),(1.612, 0.475, -1.526),(1.612, 0.471, -1.529),(1.612, 0.467, -1.533),(1.612, 0.463, -1.536),(1.612, 0.459, -1.539),(1.613, 0.456, -1.542),(1.613, 0.452, -1.545),(1.613, 0.449, -1.548),(1.613, 0.446, -1.551),(1.613, 0.443, -1.553),(1.613, 0.441, -1.555),(1.613, 0.438, -1.557),(1.613, 0.436, -1.560),(1.613, 0.433, -1.561),(1.613, 0.431, -1.563),(1.613, 0.429, -1.565),(1.613, 0.427, -1.566),(1.613, 0.426, -1.568),(1.613, 0.424, -1.569),(1.613, 0.423, -1.570),(1.613, 0.422, -1.571)};
48V = {(0.000, -0.000),(0.015, -0.008),(0.030, -0.016),(0.045, -0.024),(0.060, -0.032),(0.075, -0.040),(0.090, -0.048),(0.105, -0.056),(0.120, -0.064),(0.135, -0.072),(0.150, -0.080),(0.165, -0.088),(0.180, -0.096),(0.195, -0.105),(0.210, -0.113),(0.225, -0.122),(0.240, -0.130),(0.255, -0.139),(0.270, -0.148),(0.285, -0.157),(0.300, -0.166),(0.315, -0.175),(0.330, -0.184),(0.345, -0.194),(0.360, -0.203),(0.375, -0.213),(0.390, -0.223),(0.405, -0.233),(0.420, -0.243),(0.435, -0.253),(0.450, -0.264),(0.465, -0.275),(0.480, -0.286),(0.495, -0.297),(0.510, -0.309),(0.525, -0.321),(0.540, -0.333),(0.555, -0.345),(0.570, -0.358),(0.585, -0.370),(0.600, -0.384),(0.615, -0.397),(0.630, -0.411),(0.645, -0.425),(0.660, -0.440),(0.675, -0.455),(0.690, -0.471),(0.705, -0.487),(0.720, -0.503),(0.735, -0.520),(0.750, -0.537),(0.765, -0.555),(0.780, -0.573),(0.795, -0.592),(0.810, -0.612),(0.825, -0.632),(0.840, -0.653),(0.855, -0.674),(0.870, -0.696),(0.885, -0.719),(0.900, -0.743),(0.915, -0.767),(0.930, -0.792),(0.945, -0.818),(0.960, -0.845),(0.975, -0.873),(0.990, -0.902),(1.005, -0.931),(1.020, -0.962),(1.035, -0.994),(1.050, -1.026),(1.052, -1.046),(1.049, -1.063),(1.047, -1.079),(1.044, -1.096),(1.042, -1.113),(1.040, -1.129),(1.037, -1.146),(1.035, -1.163),(1.032, -1.180),(1.030, -1.197),(1.028, -1.213),(1.025, -1.230),(1.023, -1.246),(1.020, -1.263),(1.018, -1.279),(1.016, -1.295),(1.013, -1.311),(1.011, -1.326),(1.009, -1.342),(1.007, -1.357),(1.004, -1.371),(1.002, -1.386),(1.000, -1.400),(0.998, -1.413),(0.996, -1.426),(0.994, -1.439),(0.993, -1.451),(0.991, -1.462),(0.989, -1.473),(0.988, -1.483),(0.986, -1.493),(0.985, -1.502),(0.983, -1.510),(0.982, -1.518),(0.981, -1.525),(0.980, -1.531),(0.979, -1.537),(0.978, -1.541),(0.977, -1.545),(0.977, -1.548),(0.976, -1.551),(0.976, -1.552),(0.976, -1.553),(0.976, -1.553),(0.976, -1.552),(0.976, -1.550),(0.976, -1.548),(0.976, -1.544),(0.977, -1.540),(0.977, -1.536),(0.978, -1.530),(0.979, -1.524),(0.980, -1.517),(0.981, -1.509),(0.982, -1.501),(0.983, -1.492),(0.984, -1.482),(0.986, -1.472),(0.987, -1.462),(0.989, -1.451),(0.990, -1.439),(0.992, -1.427),(0.994, -1.414),(0.995, -1.401),(0.997, -1.388),(0.999, -1.374),(1.001, -1.360),(1.003, -1.346),(0.994, -1.316),(0.979, -1.280),(0.964, -1.244),(0.949, -1.209),(0.934, -1.174),(0.919, -1.141),(0.904, -1.108),(0.889, -1.075),(0.874, -1.044),(0.859, -1.013),(0.844, -0.983),(0.829, -0.953),(0.814, -0.925),(0.799, -0.897),(0.784, -0.869),(0.769, -0.843),(0.754, -0.817),(0.739, -0.791),(0.724, -0.767),(0.709, -0.743),(0.694, -0.719),(0.679, -0.696),(0.664, -0.674),(0.649, -0.652),(0.634, -0.631),(0.619, -0.610),(0.604, -0.589),(0.589, -0.569),(0.574, -0.550),(0.559, -0.531),(0.544, -0.512),(0.529, -0.494),(0.514, -0.476),(0.499, -0.459),(0.484, -0.442),(0.469, -0.425),(0.454, -0.408),(0.439, -0.392),(0.424, -0.376),(0.409, -0.361),(0.394, -0.345),(0.379, -0.330),(0.364, -0.315),(0.349, -0.301),(0.334, -0.286),(0.319, -0.272),(0.304, -0.258),(0.289, -0.244),(0.274, -0.231),(0.259, -0.217),(0.244, -0.204),(0.229, -0.191),(0.214, -0.177),(0.199, -0.165),(0.184, -0.152),(0.169, -0.139),(0.154, -0.126),(0.139, -0.114),(0.124, -0.101)};
49)";
50
51const std::string parkingzone_curve2 = R"(
52P = {(-0.701, -1.219, 3.142),(-0.701, -1.219, 3.142),(-0.701, -1.219, 3.141),(-0.702, -1.219, 3.141),(-0.702, -1.219, 3.141),(-0.703, -1.219, 3.140),(-0.704, -1.219, 3.140),(-0.705, -1.219, 3.139),(-0.706, -1.219, 3.139),(-0.708, -1.219, 3.138),(-0.709, -1.219, 3.137),(-0.711, -1.219, 3.136),(-0.713, -1.219, 3.135),(-0.715, -1.219, 3.134),(-0.717, -1.219, 3.133),(-0.719, -1.219, 3.132),(-0.721, -1.219, 3.131),(-0.724, -1.219, 3.129),(-0.727, -1.219, 3.128),(-0.729, -1.219, 3.126),(-0.732, -1.219, 3.125),(-0.736, -1.219, 3.123),(-0.739, -1.219, 3.121),(-0.742, -1.219, 3.119),(-0.746, -1.218, 3.117),(-0.750, -1.218, 3.115),(-0.754, -1.218, 3.113),(-0.758, -1.218, 3.110),(-0.762, -1.218, 3.108),(-0.766, -1.218, 3.105),(-0.771, -1.218, 3.103),(-0.775, -1.217, 3.100),(-0.780, -1.217, 3.097),(-0.785, -1.217, 3.094),(-0.790, -1.217, 3.091),(-0.795, -1.217, 3.088),(-0.801, -1.216, 3.085),(-0.806, -1.216, 3.081),(-0.812, -1.216, 3.078),(-0.818, -1.215, 3.074),(-0.824, -1.215, 3.070),(-0.830, -1.214, 3.066),(-0.836, -1.214, 3.062),(-0.843, -1.213, 3.058),(-0.849, -1.213, 3.054),(-0.856, -1.212, 3.049),(-0.863, -1.211, 3.044),(-0.870, -1.211, 3.040),(-0.877, -1.210, 3.035),(-0.884, -1.209, 3.029),(-0.892, -1.208, 3.024),(-0.899, -1.207, 3.018),(-0.907, -1.206, 3.013),(-0.915, -1.205, 3.007),(-0.923, -1.204, 3.001),(-0.931, -1.203, 2.995),(-0.940, -1.202, 2.988),(-0.948, -1.201, 2.981),(-0.957, -1.199, 2.974),(-0.965, -1.198, 2.967),(-0.974, -1.196, 2.960),(-0.983, -1.194, 2.952),(-0.992, -1.193, 2.944),(-1.002, -1.191, 2.936),(-1.011, -1.189, 2.928),(-1.020, -1.187, 2.919),(-1.030, -1.184, 2.910),(-1.040, -1.182, 2.901),(-1.050, -1.179, 2.892),(-1.060, -1.177, 2.882),(-1.070, -1.174, 2.872),(-1.080, -1.171, 2.861),(-1.091, -1.168, 2.850),(-1.101, -1.165, 2.839),(-1.112, -1.162, 2.827),(-1.122, -1.158, 2.816),(-1.133, -1.154, 2.803),(-1.144, -1.150, 2.790),(-1.155, -1.146, 2.777),(-1.166, -1.142, 2.764),(-1.176, -1.138, 2.751),(-1.187, -1.133, 2.737),(-1.198, -1.129, 2.723),(-1.208, -1.124, 2.709),(-1.218, -1.119, 2.695),(-1.229, -1.114, 2.680),(-1.239, -1.109, 2.665),(-1.249, -1.104, 2.650),(-1.259, -1.098, 2.635),(-1.269, -1.093, 2.620),(-1.278, -1.087, 2.604),(-1.288, -1.081, 2.589),(-1.297, -1.075, 2.573),(-1.307, -1.069, 2.557),(-1.316, -1.063, 2.541),(-1.325, -1.056, 2.524),(-1.334, -1.050, 2.508),(-1.343, -1.043, 2.491),(-1.352, -1.037, 2.475),(-1.361, -1.030, 2.458),(-1.369, -1.023, 2.441),(-1.377, -1.015, 2.424),(-1.386, -1.008, 2.406),(-1.394, -1.001, 2.389),(-1.402, -0.993, 2.372),(-1.410, -0.985, 2.355),(-1.417, -0.977, 2.337),(-1.425, -0.969, 2.320),(-1.432, -0.961, 2.302),(-1.440, -0.953, 2.285),(-1.447, -0.945, 2.267),(-1.454, -0.936, 2.250),(-1.460, -0.928, 2.233),(-1.467, -0.919, 2.215),(-1.474, -0.910, 2.198),(-1.480, -0.901, 2.180),(-1.486, -0.892, 2.163),(-1.492, -0.883, 2.146),(-1.498, -0.874, 2.129),(-1.504, -0.864, 2.112),(-1.510, -0.855, 2.095),(-1.515, -0.845, 2.078),(-1.520, -0.835, 2.062),(-1.526, -0.825, 2.045),(-1.531, -0.815, 2.029),(-1.535, -0.806, 2.013),(-1.540, -0.796, 1.997),(-1.544, -0.786, 1.982),(-1.548, -0.776, 1.967),(-1.552, -0.766, 1.953),(-1.556, -0.757, 1.938),(-1.560, -0.747, 1.925),(-1.563, -0.738, 1.911),(-1.566, -0.729, 1.898),(-1.569, -0.720, 1.886),(-1.572, -0.711, 1.874),(-1.575, -0.702, 1.862),(-1.578, -0.693, 1.850),(-1.580, -0.684, 1.839),(-1.582, -0.675, 1.828),(-1.585, -0.667, 1.817),(-1.587, -0.658, 1.807),(-1.589, -0.650, 1.797),(-1.590, -0.642, 1.787),(-1.592, -0.634, 1.778),(-1.594, -0.626, 1.769),(-1.595, -0.618, 1.760),(-1.597, -0.611, 1.752),(-1.598, -0.603, 1.743),(-1.599, -0.596, 1.735),(-1.600, -0.589, 1.727),(-1.602, -0.582, 1.720),(-1.603, -0.575, 1.713),(-1.604, -0.568, 1.706),(-1.604, -0.562, 1.699),(-1.605, -0.555, 1.692),(-1.606, -0.549, 1.686),(-1.607, -0.543, 1.680),(-1.607, -0.536, 1.674),(-1.608, -0.531, 1.668),(-1.608, -0.525, 1.662),(-1.609, -0.519, 1.657),(-1.609, -0.514, 1.652),(-1.610, -0.508, 1.647),(-1.610, -0.503, 1.642),(-1.611, -0.498, 1.637),(-1.611, -0.493, 1.633),(-1.611, -0.489, 1.628),(-1.611, -0.484, 1.624),(-1.612, -0.480, 1.620),(-1.612, -0.475, 1.616),(-1.612, -0.471, 1.613),(-1.612, -0.467, 1.609),(-1.612, -0.463, 1.606),(-1.612, -0.460, 1.603),(-1.613, -0.456, 1.600),(-1.613, -0.453, 1.597),(-1.613, -0.450, 1.594),(-1.613, -0.447, 1.591),(-1.613, -0.444, 1.589),(-1.613, -0.441, 1.586),(-1.613, -0.438, 1.584),(-1.613, -0.436, 1.582),(-1.613, -0.433, 1.580),(-1.613, -0.431, 1.578),(-1.613, -0.429, 1.577),(-1.613, -0.427, 1.575),(-1.613, -0.426, 1.574),(-1.613, -0.424, 1.572),(-1.613, -0.423, 1.571),(-1.613, -0.422, 1.571)};
53V = {(0.000, -0.000),(0.015, -0.008),(0.030, -0.016),(0.045, -0.024),(0.060, -0.032),(0.075, -0.040),(0.090, -0.048),(0.105, -0.056),(0.120, -0.064),(0.135, -0.072),(0.150, -0.080),(0.165, -0.088),(0.180, -0.096),(0.195, -0.105),(0.210, -0.113),(0.225, -0.122),(0.240, -0.130),(0.255, -0.139),(0.270, -0.148),(0.285, -0.157),(0.300, -0.166),(0.315, -0.175),(0.330, -0.184),(0.345, -0.194),(0.360, -0.203),(0.375, -0.213),(0.390, -0.223),(0.405, -0.233),(0.420, -0.243),(0.435, -0.253),(0.450, -0.264),(0.465, -0.275),(0.480, -0.286),(0.495, -0.297),(0.510, -0.309),(0.525, -0.321),(0.540, -0.333),(0.555, -0.345),(0.570, -0.358),(0.585, -0.370),(0.600, -0.384),(0.615, -0.397),(0.630, -0.411),(0.645, -0.425),(0.660, -0.440),(0.675, -0.455),(0.690, -0.471),(0.705, -0.487),(0.720, -0.503),(0.735, -0.520),(0.750, -0.537),(0.765, -0.555),(0.780, -0.573),(0.795, -0.592),(0.810, -0.612),(0.825, -0.632),(0.840, -0.653),(0.855, -0.674),(0.870, -0.696),(0.885, -0.719),(0.900, -0.743),(0.915, -0.767),(0.930, -0.792),(0.945, -0.818),(0.960, -0.845),(0.975, -0.873),(0.990, -0.902),(1.005, -0.931),(1.020, -0.962),(1.035, -0.994),(1.050, -1.026),(1.065, -1.060),(1.080, -1.095),(1.095, -1.131),(1.110, -1.168),(1.125, -1.206),(1.140, -1.245),(1.155, -1.286),(1.163, -1.319),(1.160, -1.341),(1.157, -1.362),(1.154, -1.383),(1.151, -1.404),(1.148, -1.425),(1.145, -1.445),(1.142, -1.465),(1.139, -1.485),(1.136, -1.505),(1.133, -1.524),(1.130, -1.542),(1.128, -1.561),(1.125, -1.578),(1.123, -1.595),(1.120, -1.611),(1.118, -1.627),(1.115, -1.642),(1.113, -1.656),(1.111, -1.669),(1.109, -1.681),(1.108, -1.692),(1.106, -1.702),(1.104, -1.712),(1.103, -1.720),(1.102, -1.727),(1.101, -1.733),(1.100, -1.738),(1.099, -1.742),(1.098, -1.745),(1.098, -1.747),(1.098, -1.747),(1.098, -1.746),(1.098, -1.745),(1.098, -1.742),(1.098, -1.738),(1.099, -1.732),(1.100, -1.726),(1.100, -1.719),(1.101, -1.711),(1.103, -1.701),(1.104, -1.691),(1.105, -1.680),(1.107, -1.668),(1.109, -1.655),(1.110, -1.642),(1.112, -1.627),(1.103, -1.596),(1.088, -1.557),(1.073, -1.517),(1.058, -1.478),(1.043, -1.439),(1.028, -1.401),(1.013, -1.363),(0.998, -1.326),(0.983, -1.290),(0.968, -1.254),(0.953, -1.218),(0.938, -1.184),(0.923, -1.150),(0.908, -1.116),(0.893, -1.084),(0.878, -1.052),(0.863, -1.021),(0.848, -0.991),(0.833, -0.961),(0.818, -0.932),(0.803, -0.904),(0.788, -0.877),(0.773, -0.850),(0.758, -0.824),(0.743, -0.798),(0.728, -0.773),(0.713, -0.749),(0.698, -0.725),(0.683, -0.702),(0.668, -0.680),(0.653, -0.658),(0.638, -0.636),(0.623, -0.615),(0.608, -0.595),(0.593, -0.575),(0.578, -0.555),(0.563, -0.536),(0.548, -0.517),(0.533, -0.499),(0.518, -0.481),(0.503, -0.464),(0.488, -0.446),(0.473, -0.429),(0.458, -0.413),(0.443, -0.397),(0.428, -0.381),(0.413, -0.365),(0.398, -0.350),(0.383, -0.334),(0.368, -0.320),(0.353, -0.305),(0.338, -0.290),(0.323, -0.276),(0.308, -0.262),(0.293, -0.248),(0.278, -0.235),(0.263, -0.221),(0.248, -0.208),(0.233, -0.194),(0.218, -0.181),(0.203, -0.168),(0.188, -0.155),(0.173, -0.143),(0.158, -0.130),(0.143, -0.117),(0.128, -0.105)};
54)";
55
56const std::string test_u = R"(
57P = {(0.000, 0.000, 1.571),(0.000, 0.000, 1.571),(0.000, 0.000, 1.571),(0.000, 0.001, 1.571),(0.000, 0.002, 1.570),(0.000, 0.002, 1.570),(0.000, 0.003, 1.570),(0.000, 0.004, 1.570),(0.000, 0.005, 1.569),(0.000, 0.007, 1.569),(0.000, 0.008, 1.568),(0.000, 0.010, 1.568),(0.000, 0.012, 1.567),(0.000, 0.014, 1.567),(0.000, 0.016, 1.566),(0.000, 0.018, 1.565),(0.000, 0.020, 1.565),(0.000, 0.023, 1.564),(0.000, 0.026, 1.563),(0.000, 0.029, 1.562),(0.000, 0.032, 1.561),(0.000, 0.035, 1.560),(0.000, 0.038, 1.559),(0.000, 0.041, 1.558),(0.000, 0.045, 1.557),(0.000, 0.049, 1.556),(0.000, 0.053, 1.555),(0.000, 0.057, 1.553),(0.001, 0.061, 1.552),(0.001, 0.065, 1.551),(0.001, 0.070, 1.549),(0.001, 0.074, 1.548),(0.001, 0.079, 1.546),(0.001, 0.084, 1.544),(0.001, 0.089, 1.543),(0.001, 0.095, 1.541),(0.002, 0.100, 1.539),(0.002, 0.105, 1.537),(0.002, 0.111, 1.535),(0.002, 0.117, 1.533),(0.002, 0.123, 1.531),(0.003, 0.129, 1.529),(0.003, 0.135, 1.527),(0.003, 0.142, 1.525),(0.003, 0.148, 1.523),(0.004, 0.155, 1.520),(0.004, 0.162, 1.518),(0.005, 0.169, 1.515),(0.005, 0.176, 1.513),(0.005, 0.184, 1.510),(0.006, 0.191, 1.507),(0.006, 0.199, 1.504),(0.007, 0.207, 1.502),(0.007, 0.214, 1.499),(0.008, 0.223, 1.496),(0.009, 0.231, 1.492),(0.009, 0.239, 1.489),(0.010, 0.248, 1.486),(0.011, 0.256, 1.482),(0.012, 0.265, 1.479),(0.012, 0.274, 1.475),(0.013, 0.283, 1.472),(0.014, 0.292, 1.468),(0.015, 0.302, 1.464),(0.016, 0.311, 1.460),(0.017, 0.321, 1.456),(0.018, 0.330, 1.452),(0.020, 0.339, 1.448),(0.021, 0.349, 1.443),(0.022, 0.358, 1.439),(0.023, 0.367, 1.435),(0.025, 0.377, 1.431),(0.026, 0.386, 1.426),(0.027, 0.395, 1.422),(0.029, 0.404, 1.417),(0.030, 0.414, 1.413),(0.032, 0.423, 1.408),(0.033, 0.432, 1.404),(0.035, 0.441, 1.399),(0.036, 0.450, 1.394),(0.038, 0.460, 1.389),(0.040, 0.469, 1.384),(0.041, 0.478, 1.379),(0.043, 0.487, 1.374),(0.045, 0.496, 1.369),(0.047, 0.505, 1.364),(0.049, 0.514, 1.359),(0.051, 0.523, 1.353),(0.053, 0.532, 1.348),(0.055, 0.541, 1.343),(0.057, 0.550, 1.337),(0.059, 0.559, 1.331),(0.061, 0.568, 1.326),(0.064, 0.577, 1.320),(0.066, 0.586, 1.314),(0.068, 0.594, 1.308),(0.071, 0.603, 1.302),(0.073, 0.612, 1.295),(0.076, 0.621, 1.289),(0.078, 0.630, 1.283),(0.081, 0.638, 1.276),(0.083, 0.647, 1.270),(0.086, 0.655, 1.263),(0.089, 0.664, 1.256),(0.092, 0.673, 1.249),(0.095, 0.681, 1.242),(0.097, 0.690, 1.235),(0.100, 0.698, 1.227),(0.104, 0.706, 1.220),(0.107, 0.715, 1.212),(0.110, 0.723, 1.204),(0.113, 0.731, 1.196),(0.116, 0.740, 1.188),(0.120, 0.748, 1.180),(0.123, 0.756, 1.171),(0.126, 0.764, 1.163),(0.130, 0.772, 1.154),(0.133, 0.780, 1.145),(0.137, 0.788, 1.136),(0.141, 0.796, 1.127),(0.145, 0.803, 1.117),(0.148, 0.811, 1.108),(0.152, 0.819, 1.098),(0.156, 0.826, 1.087),(0.160, 0.834, 1.077),(0.164, 0.841, 1.067),(0.168, 0.849, 1.056),(0.173, 0.856, 1.045),(0.177, 0.863, 1.033),(0.181, 0.870, 1.022),(0.185, 0.878, 1.010),(0.190, 0.884, 0.998),(0.194, 0.891, 0.985),(0.199, 0.898, 0.973),(0.204, 0.905, 0.960),(0.208, 0.911, 0.946),(0.213, 0.918, 0.933),(0.218, 0.924, 0.919),(0.223, 0.931, 0.905),(0.228, 0.937, 0.890),(0.233, 0.943, 0.875),(0.238, 0.949, 0.860),(0.243, 0.955, 0.844),(0.248, 0.961, 0.828),(0.253, 0.966, 0.812),(0.259, 0.972, 0.795),(0.264, 0.977, 0.778),(0.269, 0.982, 0.760),(0.275, 0.987, 0.742),(0.280, 0.992, 0.723),(0.286, 0.997, 0.705),(0.291, 1.002, 0.685),(0.297, 1.006, 0.666),(0.303, 1.010, 0.645),(0.308, 1.015, 0.625),(0.314, 1.019, 0.604),(0.320, 1.023, 0.582),(0.326, 1.026, 0.561),(0.331, 1.030, 0.538),(0.337, 1.033, 0.516),(0.343, 1.037, 0.493),(0.349, 1.040, 0.469),(0.355, 1.043, 0.445),(0.361, 1.045, 0.421),(0.367, 1.048, 0.397),(0.373, 1.050, 0.372),(0.379, 1.053, 0.347),(0.385, 1.055, 0.321),(0.391, 1.056, 0.295),(0.397, 1.058, 0.269),(0.403, 1.060, 0.243),(0.409, 1.061, 0.216),(0.415, 1.062, 0.190),(0.421, 1.064, 0.163),(0.427, 1.064, 0.136),(0.433, 1.065, 0.108),(0.439, 1.066, 0.081),(0.445, 1.066, 0.054),(0.451, 1.066, 0.026),(0.457, 1.066, -0.001),(0.463, 1.066, -0.028),(0.469, 1.066, -0.056),(0.475, 1.066, -0.083),(0.481, 1.065, -0.110),(0.487, 1.064, -0.137),(0.493, 1.063, -0.164),(0.499, 1.062, -0.191),(0.505, 1.061, -0.218),(0.511, 1.060, -0.244),(0.517, 1.058, -0.270),(0.523, 1.056, -0.296),(0.529, 1.055, -0.322),(0.535, 1.052, -0.347),(0.541, 1.050, -0.372),(0.547, 1.048, -0.397),(0.553, 1.045, -0.421),(0.559, 1.043, -0.445),(0.565, 1.040, -0.469),(0.571, 1.037, -0.492),(0.577, 1.033, -0.515),(0.582, 1.030, -0.537),(0.588, 1.026, -0.560),(0.594, 1.023, -0.581),(0.600, 1.019, -0.602),(0.605, 1.015, -0.623),(0.611, 1.011, -0.644),(0.617, 1.006, -0.664),(0.622, 1.002, -0.683),(0.628, 0.997, -0.702),(0.633, 0.993, -0.721),(0.639, 0.988, -0.740),(0.644, 0.983, -0.758),(0.649, 0.978, -0.775),(0.655, 0.972, -0.792),(0.660, 0.967, -0.809),(0.665, 0.961, -0.825),(0.670, 0.956, -0.841),(0.675, 0.950, -0.857),(0.680, 0.944, -0.872),(0.685, 0.938, -0.887),(0.690, 0.932, -0.902),(0.695, 0.926, -0.916),(0.700, 0.919, -0.930),(0.705, 0.913, -0.944),(0.709, 0.906, -0.957),(0.714, 0.900, -0.970),(0.719, 0.893, -0.983),(0.723, 0.886, -0.995),(0.727, 0.879, -1.007),(0.732, 0.872, -1.019),(0.736, 0.865, -1.030),(0.740, 0.858, -1.042),(0.745, 0.851, -1.053),(0.749, 0.843, -1.064),(0.753, 0.836, -1.074),(0.757, 0.828, -1.085),(0.761, 0.821, -1.095),(0.765, 0.813, -1.105),(0.768, 0.806, -1.115),(0.772, 0.798, -1.124),(0.776, 0.790, -1.133),(0.779, 0.782, -1.143),(0.783, 0.774, -1.152),(0.787, 0.766, -1.160),(0.790, 0.758, -1.169),(0.793, 0.750, -1.177),(0.797, 0.742, -1.186),(0.800, 0.734, -1.194),(0.803, 0.726, -1.202),(0.806, 0.717, -1.210),(0.810, 0.709, -1.217),(0.813, 0.701, -1.225),(0.816, 0.692, -1.232),(0.819, 0.684, -1.239),(0.821, 0.675, -1.247),(0.824, 0.667, -1.254),(0.827, 0.658, -1.261),(0.830, 0.650, -1.267),(0.832, 0.641, -1.274),(0.835, 0.632, -1.281),(0.838, 0.624, -1.287),(0.840, 0.615, -1.293),(0.843, 0.606, -1.300),(0.845, 0.597, -1.306),(0.847, 0.589, -1.312),(0.850, 0.580, 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59)";
const std::string right_7_1
Definition paths.cpp:5
const std::string skills_2
Definition paths.cpp:31
const std::string parkingzone_curve
Definition paths.cpp:46
const std::string skills_3
Definition paths.cpp:36
const std::string test_u
Definition paths.cpp:56
const std::string awp_2
Definition paths.cpp:16
const std::string skills_1
Definition paths.cpp:27
const std::string parkingzone_curve2
Definition paths.cpp:51
const std::string skills_4
Definition paths.cpp:41
const std::string awp_1
Definition paths.cpp:11