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| { | |
| "cells": [ | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "collapsed": true | |
| }, | |
| "cell_type": "code", | |
| "source": "%matplotlib inline\nimport numpy as np\nimport pandas as pd\nimport pymc3 as pm\nimport seaborn as sns", | |
| "execution_count": 1, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "collapsed": false | |
| }, | |
| "cell_type": "code", | |
| "source": "k = 1000\nn = 100\n\nfake_data = np.random.random((n, k+1))", | |
| "execution_count": 2, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "collapsed": false | |
| }, | |
| "cell_type": "code", | |
| "source": "import theano.tensor as tt\n\nwith pm.Model() as model:\n \n y = fake_data[:, 0]\n X = fake_data[:, 1:]\n \n β = pm.Normal('β', 0, sd=10000, shape=k)\n σ = pm.Uniform('σ', 0, 1000)\n \n μ = tt.dot(X, β)\n \n likelihood = pm.Normal('likelihood', μ, sd=σ, observed=y)", | |
| "execution_count": 3, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "text": "Applied interval-transform to σ and added transformed σ_interval_ to model.\n/Users/fonnescj/Repositories/pymc3/pymc3/distributions/continuous.py:59: UserWarning: The variable specified for sd has non-positive support for Normal, likely making it unsuitable for this parameter.\n warnings.warn(msg)\n", | |
| "name": "stderr" | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "collapsed": false | |
| }, | |
| "cell_type": "code", | |
| "source": "with model:\n tr = pm.sample(10000, step=pm.Metropolis())", | |
| "execution_count": 8, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "text": "100%|██████████| 10000/10000 [00:03<00:00, 2657.98it/s]\n", | |
| "name": "stderr" | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "collapsed": false, | |
| "scrolled": false | |
| }, | |
| "cell_type": "code", | |
| "source": "pm.summary(tr[-1000:])", | |
| "execution_count": 9, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "text": "\nβ:\n\n Mean SD MC Error 95% HPD interval\n -------------------------------------------------------------------\n \n 12.268 2.141 0.212 [9.025, 16.523]\n 24.667 2.834 0.282 [17.306, 28.067]\n 6.037 4.004 0.399 [-3.158, 11.874]\n -1.192 3.096 0.308 [-6.529, 3.364]\n 30.398 2.613 0.259 [24.873, 33.920]\n 30.075 3.499 0.349 [24.092, 36.511]\n 1.986 1.479 0.144 [-1.033, 4.765]\n -26.996 1.373 0.133 [-29.969, -24.369]\n -10.862 2.907 0.289 [-16.051, -6.632]\n -4.642 2.486 0.246 [-9.126, -0.350]\n -6.264 4.842 0.483 [-12.645, 1.655]\n 9.286 2.584 0.257 [4.527, 13.524]\n 5.703 4.250 0.424 [0.162, 14.546]\n -4.108 2.716 0.270 [-8.533, 0.804]\n 26.159 2.000 0.197 [22.771, 30.111]\n 18.125 2.749 0.273 [13.844, 23.375]\n -29.331 5.529 0.552 [-37.002, -19.142]\n -24.338 5.135 0.512 [-33.090, -16.517]\n -12.870 2.080 0.205 [-16.375, -8.275]\n 8.509 2.766 0.275 [3.749, 13.498]\n 18.064 7.757 0.775 [6.629, 31.169]\n -9.898 2.774 0.276 [-15.504, -5.955]\n -15.673 2.713 0.269 [-20.814, -11.082]\n 16.425 2.458 0.244 [12.477, 20.711]\n 16.618 3.078 0.306 [11.701, 21.557]\n 3.005 1.431 0.139 [0.694, 5.371]\n 0.491 3.094 0.307 [-5.851, 5.229]\n -0.069 2.803 0.279 [-5.128, 4.183]\n -1.339 1.904 0.187 [-4.794, 2.513]\n -9.269 1.380 0.134 [-11.393, -6.626]\n 9.354 2.133 0.211 [4.824, 12.270]\n 0.091 4.207 0.419 [-5.264, 8.156]\n 1.959 3.543 0.353 [-3.175, 7.941]\n -20.171 2.810 0.279 [-26.694, -16.133]\n 4.748 4.937 0.493 [-1.145, 14.478]\n -24.234 1.641 0.161 [-26.973, -21.165]\n -11.031 3.251 0.324 [-16.014, -5.413]\n 18.219 3.600 0.358 [12.205, 22.940]\n -1.395 3.476 0.346 [-8.614, 3.713]\n 22.405 3.232 0.322 [17.302, 28.787]\n 16.052 3.652 0.364 [10.940, 23.124]\n -10.264 2.863 0.285 [-14.093, -4.685]\n 18.800 2.889 0.287 [13.029, 23.293]\n 31.490 2.567 0.255 [25.875, 35.193]\n 18.857 1.723 0.169 [15.050, 22.296]\n 15.603 2.390 0.237 [11.840, 20.354]\n 15.259 3.529 0.352 [10.141, 21.910]\n -24.006 1.678 0.164 [-27.170, -20.669]\n 35.167 2.484 0.246 [29.867, 38.787]\n 17.874 1.953 0.192 [13.141, 20.868]\n 21.394 2.885 0.287 [17.040, 26.665]\n -36.914 2.360 0.233 [-40.466, -31.239]\n 7.753 4.103 0.409 [0.818, 14.456]\n 18.376 2.398 0.238 [14.914, 23.367]\n -11.205 1.990 0.196 [-14.712, -6.917]\n 7.924 2.924 0.291 [2.859, 13.776]\n 17.394 2.994 0.298 [12.112, 22.069]\n -0.663 2.819 0.280 [-4.506, 5.348]\n -25.882 4.662 0.465 [-32.754, -19.086]\n -5.673 1.852 0.183 [-8.934, -2.462]\n -14.789 3.101 0.308 [-20.527, -8.874]\n -24.672 1.433 0.140 [-27.530, -22.190]\n -11.748 1.767 0.173 [-15.132, -8.659]\n 7.213 3.224 0.321 [3.554, 14.023]\n 16.704 2.099 0.208 [12.878, 20.059]\n 8.117 2.470 0.245 [4.101, 11.903]\n 41.023 1.422 0.138 [38.404, 43.796]\n -5.275 2.789 0.277 [-10.286, -0.293]\n 13.066 3.321 0.330 [7.302, 18.881]\n 25.755 3.245 0.323 [21.180, 32.000]\n 5.870 3.444 0.343 [-1.478, 11.369]\n -54.658 2.514 0.249 [-58.651, -49.739]\n 23.774 1.236 0.119 [21.126, 25.555]\n -19.798 6.691 0.668 [-28.170, -5.682]\n 0.516 2.072 0.205 [-2.701, 3.424]\n 10.775 5.024 0.501 [2.999, 17.411]\n 47.767 3.705 0.369 [42.121, 53.609]\n -4.812 2.851 0.283 [-9.054, 0.130]\n -6.138 2.227 0.220 [-9.851, -2.143]\n 53.924 1.560 0.152 [51.587, 57.404]\n 32.364 2.181 0.216 [28.845, 36.181]\n -20.960 6.664 0.666 [-31.251, -12.496]\n -38.865 2.374 0.235 [-43.237, -35.110]\n 35.468 3.837 0.382 [29.104, 41.589]\n 10.264 2.330 0.231 [5.669, 13.771]\n 10.072 2.465 0.244 [5.594, 13.877]\n 1.330 2.875 0.286 [-4.234, 5.882]\n 24.432 2.296 0.227 [18.557, 27.733]\n 8.477 1.886 0.186 [4.385, 10.983]\n 8.794 2.775 0.276 [4.774, 14.168]\n 19.470 4.609 0.460 [11.374, 25.128]\n -0.247 1.975 0.195 [-4.321, 2.695]\n 4.140 2.619 0.260 [0.311, 8.317]\n -22.795 1.722 0.169 [-26.031, -20.099]\n 11.138 2.502 0.248 [6.591, 15.234]\n -43.291 3.654 0.364 [-50.259, -37.771]\n 8.257 3.087 0.307 [3.026, 13.057]\n -19.631 1.209 0.117 [-21.545, -16.886]\n -11.366 3.010 0.299 [-16.624, -4.186]\n 27.470 2.810 0.279 [23.741, 32.414]\n -23.516 3.578 0.356 [-29.203, -18.085]\n 22.660 2.580 0.257 [17.216, 26.148]\n 11.698 2.377 0.235 [7.571, 15.266]\n -13.044 2.544 0.253 [-17.354, -8.469]\n 3.247 2.347 0.232 [-0.766, 7.084]\n -28.666 3.406 0.339 [-33.037, -21.899]\n 8.707 4.391 0.438 [2.382, 15.684]\n -12.531 1.853 0.182 [-15.413, -8.634]\n 4.719 2.423 0.240 [0.305, 9.888]\n 10.334 3.905 0.389 [3.413, 17.311]\n 12.162 3.049 0.303 [5.793, 17.745]\n -2.075 2.236 0.221 [-5.409, 3.866]\n 19.475 1.585 0.155 [16.226, 22.948]\n -6.775 2.524 0.250 [-11.326, -3.351]\n -14.188 2.076 0.205 [-17.515, -10.278]\n 9.180 1.387 0.135 [6.573, 11.954]\n 7.892 4.198 0.418 [2.890, 17.595]\n 3.174 1.726 0.169 [-0.178, 5.847]\n 14.228 2.788 0.277 [9.996, 20.133]\n 16.227 1.986 0.196 [12.004, 19.640]\n 19.112 1.482 0.145 [16.698, 22.379]\n -11.924 2.079 0.205 [-15.474, -7.760]\n 0.856 2.036 0.201 [-1.974, 5.280]\n 8.829 2.140 0.211 [5.080, 12.664]\n -24.791 3.069 0.305 [-30.988, -21.032]\n 22.514 4.004 0.399 [15.554, 28.753]\n -4.670 1.742 0.171 [-7.428, -0.754]\n 12.246 2.970 0.295 [7.619, 18.046]\n -32.278 1.527 0.149 [-35.305, -29.253]\n 0.932 2.543 0.252 [-2.781, 4.878]\n 11.722 3.185 0.317 [7.041, 18.347]\n 20.508 6.527 0.652 [10.002, 29.993]\n -16.833 4.142 0.413 [-22.526, -8.875]\n -8.044 1.802 0.177 [-11.765, -5.506]\n -7.235 2.651 0.263 [-11.691, -2.492]\n -40.365 3.323 0.331 [-46.029, -35.977]\n 18.347 3.182 0.316 [13.373, 23.372]\n 25.064 3.820 0.381 [18.727, 30.760]\n -16.571 2.693 0.267 [-21.631, -13.197]\n 17.749 2.636 0.262 [13.684, 22.307]\n 2.648 3.738 0.373 [-1.580, 10.534]\n 34.578 2.031 0.200 [31.437, 38.403]\n 15.491 2.210 0.218 [12.071, 20.156]\n 6.399 4.494 0.448 [-0.094, 13.807]\n 16.413 3.920 0.391 [8.866, 22.979]\n -19.186 3.917 0.390 [-25.443, -11.828]\n 3.701 3.728 0.371 [-5.068, 8.380]\n -4.817 3.264 0.325 [-9.207, 1.964]\n -27.939 2.330 0.231 [-32.622, -24.180]\n 34.953 2.152 0.213 [30.337, 39.642]\n -24.014 5.775 0.577 [-31.218, -12.626]\n 15.266 2.041 0.202 [11.751, 19.804]\n -5.526 2.624 0.260 [-11.284, -1.812]\n -2.723 2.455 0.243 [-6.654, 2.441]\n -31.187 2.627 0.261 [-35.876, -26.406]\n 14.073 4.572 0.456 [7.945, 21.066]\n 33.065 1.623 0.160 [30.910, 36.740]\n -12.048 2.412 0.239 [-18.089, -8.851]\n 11.601 3.013 0.300 [6.337, 16.921]\n 32.512 2.942 0.293 [26.317, 36.738]\n -5.545 2.718 0.270 [-9.547, -1.013]\n -16.592 1.959 0.193 [-19.824, -12.194]\n 8.669 1.921 0.190 [5.407, 11.547]\n 7.098 4.073 0.406 [0.723, 13.364]\n 22.019 1.719 0.169 [19.587, 26.696]\n -12.815 4.413 0.440 [-18.689, -3.565]\n -13.782 2.463 0.244 [-17.031, -8.533]\n 33.587 1.997 0.197 [29.838, 36.307]\n 17.041 1.429 0.140 [14.709, 19.890]\n -9.178 4.352 0.434 [-17.286, -2.241]\n -27.934 2.522 0.250 [-32.509, -22.912]\n -0.389 1.431 0.140 [-2.972, 2.243]\n 34.139 1.873 0.184 [31.103, 38.131]\n 15.874 4.062 0.405 [8.959, 22.297]\n 2.849 4.704 0.469 [-6.715, 9.742]\n -42.990 1.796 0.177 [-46.292, -40.224]\n 8.587 3.445 0.343 [0.418, 13.371]\n -9.135 2.164 0.214 [-13.493, -6.340]\n 41.805 3.259 0.324 [35.761, 47.211]\n 10.349 2.305 0.228 [6.694, 14.174]\n -27.766 2.041 0.201 [-31.299, -23.766]\n -17.283 2.364 0.234 [-20.803, -12.617]\n 45.151 2.693 0.267 [40.150, 49.720]\n -24.109 5.968 0.596 [-32.851, -13.742]\n -45.579 2.592 0.257 [-49.849, -41.716]\n -37.273 3.034 0.302 [-42.771, -30.213]\n 10.044 5.172 0.516 [2.648, 17.546]\n -29.518 5.007 0.499 [-38.906, -22.999]\n -30.862 2.551 0.253 [-35.132, -26.690]\n -25.862 3.660 0.364 [-31.029, -20.287]\n 0.918 4.633 0.462 [-6.878, 7.699]\n -12.336 3.170 0.315 [-16.730, -5.167]\n 18.427 2.774 0.275 [14.435, 23.477]\n 9.761 2.085 0.207 [5.774, 13.334]\n 17.826 2.578 0.256 [13.663, 21.830]\n -7.807 3.580 0.356 [-15.097, -3.527]\n 7.287 4.600 0.459 [0.333, 13.875]\n 14.965 2.705 0.268 [9.370, 20.729]\n 9.279 2.251 0.222 [4.173, 12.899]\n -23.526 2.224 0.220 [-27.739, -19.485]\n -3.583 3.493 0.348 [-10.645, 0.905]\n 13.007 3.370 0.335 [7.108, 18.615]\n 26.001 2.394 0.238 [21.883, 30.202]\n 0.173 2.273 0.225 [-4.011, 3.417]\n -16.479 3.013 0.299 [-22.388, -11.684]\n 29.839 2.295 0.227 [24.794, 33.827]\n -2.116 2.995 0.297 [-9.652, 3.241]\n 30.551 4.318 0.431 [24.478, 38.420]\n 9.617 4.516 0.450 [4.743, 19.322]\n -1.671 1.501 0.147 [-4.489, 0.954]\n 41.595 2.397 0.238 [36.958, 45.602]\n -37.227 1.990 0.196 [-40.893, -34.070]\n 9.214 2.600 0.258 [4.352, 12.889]\n 14.544 4.528 0.452 [7.947, 21.068]\n 35.101 2.844 0.283 [30.614, 40.262]\n -36.053 2.118 0.209 [-40.035, -32.793]\n 11.597 1.320 0.129 [9.166, 14.042]\n -33.481 3.460 0.345 [-40.361, -28.617]\n 29.036 4.255 0.424 [17.990, 34.967]\n 32.089 2.863 0.285 [28.854, 38.032]\n 1.298 3.868 0.385 [-3.796, 8.497]\n 7.965 3.042 0.303 [3.316, 14.264]\n 9.310 2.524 0.251 [4.869, 13.552]\n -5.917 3.461 0.344 [-11.794, 0.995]\n -25.643 2.076 0.205 [-29.375, -21.048]\n -4.647 2.435 0.241 [-8.675, -0.316]\n -3.798 1.874 0.185 [-6.885, -0.868]\n 21.080 6.293 0.628 [8.491, 30.255]\n 18.686 1.602 0.157 [15.696, 21.162]\n 22.008 3.079 0.306 [16.749, 27.370]\n -19.833 4.270 0.426 [-27.137, -13.114]\n -5.539 1.947 0.192 [-8.278, -0.834]\n -7.475 2.077 0.206 [-11.273, -3.749]\n -7.795 4.579 0.457 [-14.653, -0.878]\n -2.082 2.297 0.228 [-6.000, 2.651]\n -1.516 3.322 0.331 [-5.298, 5.219]\n -24.084 3.616 0.360 [-30.848, -18.737]\n -19.184 4.771 0.476 [-27.617, -11.897]\n 17.690 1.959 0.193 [13.854, 20.749]\n -31.107 1.299 0.127 [-33.546, -29.101]\n -4.473 4.004 0.399 [-11.023, 2.311]\n -36.993 3.531 0.352 [-43.890, -31.106]\n 19.642 3.561 0.354 [11.787, 24.748]\n 26.750 3.080 0.306 [22.103, 32.103]\n -20.832 3.551 0.354 [-26.253, -15.113]\n 18.277 3.788 0.377 [12.878, 25.302]\n 0.917 3.146 0.313 [-4.415, 5.984]\n -25.131 3.384 0.337 [-29.658, -18.310]\n -13.006 3.187 0.317 [-16.963, -4.659]\n -23.151 2.006 0.198 [-27.148, -19.031]\n 27.807 5.233 0.522 [19.072, 35.047]\n -3.266 2.487 0.247 [-6.729, 1.431]\n 29.656 4.347 0.433 [21.671, 37.291]\n 39.177 1.356 0.132 [36.666, 41.571]\n 3.903 3.010 0.299 [-0.702, 9.369]\n 20.385 2.551 0.253 [16.120, 24.997]\n -0.367 3.360 0.335 [-4.721, 5.736]\n -6.224 5.434 0.542 [-14.605, 3.328]\n -24.483 1.948 0.192 [-27.775, -19.891]\n 13.024 3.229 0.321 [8.746, 20.684]\n 30.053 2.847 0.283 [25.208, 33.781]\n 30.389 2.544 0.252 [25.372, 35.169]\n 22.224 3.785 0.377 [16.796, 27.664]\n -35.325 4.213 0.420 [-41.526, -27.952]\n -15.243 8.904 0.890 [-28.754, -2.732]\n -5.839 8.184 0.818 [-18.344, 7.487]\n -9.956 2.848 0.283 [-13.984, -4.530]\n 0.593 4.260 0.425 [-5.825, 7.802]\n -22.254 2.935 0.291 [-26.840, -17.135]\n -40.294 2.220 0.220 [-44.010, -36.824]\n 29.068 2.204 0.218 [25.532, 33.034]\n 3.017 2.799 0.278 [-2.261, 6.698]\n -15.416 2.859 0.284 [-20.615, -10.368]\n 13.033 1.949 0.192 [10.150, 16.606]\n 23.583 2.859 0.284 [20.431, 30.457]\n 8.032 2.378 0.236 [4.053, 11.909]\n -35.077 5.918 0.591 [-44.532, -27.299]\n 0.805 2.874 0.286 [-5.005, 6.841]\n 3.841 2.763 0.274 [0.125, 9.347]\n -20.495 1.976 0.195 [-23.871, -16.665]\n 37.181 2.624 0.260 [32.140, 40.724]\n 15.940 2.668 0.265 [11.719, 22.427]\n 17.027 1.777 0.175 [13.920, 20.173]\n 5.559 3.675 0.366 [-0.895, 13.306]\n -24.375 5.441 0.543 [-32.249, -16.099]\n -3.432 1.364 0.132 [-5.800, -1.202]\n -10.245 2.659 0.264 [-14.709, -6.420]\n 29.477 4.039 0.402 [22.983, 35.866]\n 24.557 3.652 0.363 [18.435, 30.225]\n -0.946 2.923 0.291 [-5.372, 4.096]\n -0.784 2.739 0.272 [-4.026, 6.314]\n -2.080 1.605 0.157 [-4.977, 0.492]\n 24.354 2.686 0.267 [20.263, 29.041]\n 9.946 1.940 0.191 [6.644, 14.190]\n -13.960 2.159 0.213 [-17.742, -10.410]\n -46.616 3.730 0.371 [-52.753, -40.944]\n -34.956 3.098 0.308 [-40.627, -30.822]\n 5.671 3.250 0.324 [-2.731, 9.350]\n 5.857 2.830 0.281 [0.847, 10.299]\n -12.882 1.377 0.135 [-15.441, -10.302]\n 12.141 1.599 0.157 [9.198, 15.726]\n 11.086 1.716 0.168 [8.197, 15.159]\n 35.693 2.156 0.213 [31.275, 38.877]\n -4.995 3.067 0.305 [-9.308, 0.169]\n -7.923 3.109 0.309 [-12.995, -3.098]\n 2.206 2.452 0.243 [-2.828, 6.561]\n -15.922 2.617 0.260 [-20.852, -11.818]\n 16.139 2.754 0.273 [10.759, 20.448]\n -1.093 3.917 0.390 [-8.844, 3.719]\n 2.557 2.999 0.298 [-2.978, 6.877]\n 0.202 2.117 0.210 [-3.822, 4.030]\n -1.005 2.514 0.250 [-5.164, 4.186]\n 5.384 2.929 0.291 [0.726, 11.101]\n 24.265 2.052 0.203 [20.394, 27.795]\n -11.933 5.329 0.532 [-19.746, -3.961]\n -30.268 1.699 0.167 [-33.359, -27.014]\n 18.122 3.205 0.319 [12.851, 23.093]\n -8.728 4.057 0.405 [-15.640, -3.246]\n -1.628 2.408 0.239 [-4.639, 3.492]\n -29.996 1.698 0.167 [-33.451, -27.520]\n 18.568 1.652 0.162 [15.645, 21.678]\n -24.382 2.603 0.258 [-29.115, -20.562]\n 0.894 1.360 0.132 [-1.707, 2.954]\n 4.381 4.438 0.443 [-3.372, 11.992]\n 0.320 2.970 0.295 [-5.742, 4.403]\n 1.672 2.772 0.275 [-2.502, 6.585]\n 15.193 2.983 0.297 [10.601, 20.881]\n 31.045 3.025 0.301 [26.650, 36.810]\n -10.942 3.282 0.327 [-17.689, -5.457]\n -23.631 1.682 0.165 [-26.878, -20.753]\n -45.357 4.807 0.480 [-55.017, -39.114]\n -6.277 1.629 0.159 [-9.667, -4.020]\n -10.532 6.308 0.630 [-20.415, -1.735]\n 14.639 3.226 0.321 [8.754, 19.473]\n -0.419 2.629 0.261 [-4.644, 4.382]\n 4.376 1.807 0.178 [1.373, 8.247]\n -17.774 7.502 0.749 [-29.501, -7.438]\n -4.646 3.507 0.349 [-10.278, 0.619]\n 3.956 1.757 0.172 [1.098, 7.383]\n -2.088 4.192 0.418 [-8.287, 5.287]\n 10.177 2.744 0.272 [6.245, 15.284]\n 8.667 3.047 0.303 [3.130, 14.599]\n 39.861 2.767 0.275 [35.520, 44.447]\n -6.981 2.121 0.210 [-9.795, -2.459]\n -10.916 3.447 0.343 [-18.824, -6.592]\n 3.395 2.262 0.224 [-0.239, 7.791]\n 3.065 2.265 0.224 [-0.236, 6.998]\n -17.106 2.051 0.203 [-21.262, -13.706]\n 4.506 1.759 0.173 [1.951, 7.906]\n 0.497 2.974 0.296 [-4.701, 4.755]\n 22.653 4.537 0.453 [16.392, 31.758]\n 6.952 2.110 0.208 [3.781, 11.739]\n 8.476 1.442 0.141 [6.005, 11.180]\n 16.682 2.412 0.239 [13.357, 21.136]\n -16.379 2.936 0.292 [-21.371, -10.878]\n -22.326 2.292 0.227 [-27.146, -19.011]\n 30.765 2.782 0.276 [26.177, 35.354]\n 28.468 3.016 0.300 [22.717, 33.312]\n 0.837 2.348 0.232 [-4.718, 3.952]\n 1.374 4.664 0.465 [-5.624, 9.865]\n -10.767 3.485 0.347 [-15.723, -5.305]\n 36.887 2.296 0.227 [32.711, 40.271]\n -23.805 5.039 0.503 [-29.442, -14.974]\n 32.199 2.724 0.271 [27.950, 37.854]\n 8.552 2.442 0.242 [3.720, 13.415]\n 5.768 2.792 0.277 [1.299, 9.849]\n -40.594 4.057 0.405 [-47.380, -34.525]\n -4.664 3.531 0.352 [-12.576, 0.393]\n -26.934 5.000 0.499 [-37.477, -20.565]\n 20.705 3.358 0.334 [16.088, 28.124]\n 57.295 2.189 0.216 [53.889, 61.174]\n 22.114 5.263 0.525 [13.655, 29.259]\n -24.387 2.653 0.263 [-29.592, -20.317]\n -15.065 3.083 0.307 [-19.541, -9.179]\n 40.383 5.726 0.572 [27.689, 46.204]\n -3.628 2.048 0.202 [-6.921, 0.559]\n -6.355 1.866 0.184 [-10.043, -2.953]\n -46.776 2.658 0.264 [-53.144, -42.820]\n 4.839 1.588 0.156 [1.662, 7.460]\n -14.426 2.426 0.241 [-19.023, -10.479]\n -30.076 4.156 0.414 [-38.635, -24.001]\n 23.455 2.279 0.226 [19.339, 26.955]\n -38.068 1.641 0.160 [-41.167, -34.959]\n -50.188 6.692 0.669 [-61.083, -41.504]\n -26.272 2.458 0.244 [-30.996, -20.940]\n -23.652 2.036 0.201 [-27.453, -20.391]\n -8.670 4.103 0.409 [-15.220, -2.662]\n 12.456 4.191 0.418 [6.983, 19.398]\n -26.439 2.498 0.248 [-30.017, -21.589]\n 2.356 3.034 0.302 [-4.645, 7.117]\n -9.663 3.753 0.374 [-14.812, -3.060]\n 8.835 3.523 0.351 [4.113, 15.881]\n -53.991 2.541 0.252 [-59.024, -50.710]\n -11.020 1.783 0.175 [-13.871, -7.865]\n -28.970 1.627 0.160 [-31.877, -26.522]\n 8.184 4.265 0.425 [1.874, 15.414]\n -24.304 3.866 0.385 [-29.811, -18.235]\n -37.245 2.011 0.198 [-40.538, -33.644]\n -50.355 2.392 0.237 [-55.256, -46.403]\n -21.790 1.746 0.172 [-24.652, -18.905]\n 36.366 2.307 0.229 [32.085, 39.303]\n -20.357 3.315 0.330 [-26.426, -16.099]\n 13.965 3.883 0.387 [8.687, 19.936]\n -33.421 2.466 0.244 [-37.591, -29.325]\n -8.100 3.984 0.397 [-15.553, -2.329]\n 5.017 2.870 0.285 [1.227, 10.612]\n -7.004 2.475 0.245 [-11.230, -2.588]\n 20.001 2.032 0.201 [16.759, 23.935]\n 25.834 2.594 0.258 [20.993, 29.964]\n 16.501 1.552 0.151 [14.313, 19.787]\n 32.628 1.813 0.178 [29.614, 35.621]\n -16.205 1.824 0.179 [-20.411, -13.620]\n 3.243 3.453 0.344 [-2.273, 8.203]\n 21.190 2.947 0.293 [17.203, 26.043]\n 8.355 3.560 0.354 [1.874, 13.371]\n -6.474 1.744 0.172 [-9.624, -3.252]\n -6.977 2.838 0.282 [-12.124, -2.797]\n -10.176 3.559 0.354 [-15.626, -4.858]\n -32.198 3.162 0.315 [-38.355, -27.724]\n -10.797 2.995 0.298 [-15.360, -4.610]\n -20.279 2.371 0.235 [-25.542, -17.027]\n 0.612 6.373 0.636 [-7.789, 9.439]\n -8.707 2.090 0.207 [-12.114, -4.564]\n 16.074 2.820 0.280 [10.630, 20.948]\n -18.059 2.928 0.291 [-24.284, -13.909]\n 23.185 3.228 0.321 [16.352, 27.236]\n -11.989 2.550 0.253 [-17.268, -8.216]\n -46.467 2.615 0.259 [-50.652, -41.702]\n -16.431 2.362 0.234 [-22.033, -13.303]\n 3.308 3.745 0.373 [-4.394, 7.758]\n 29.040 2.443 0.242 [24.568, 33.446]\n -3.591 2.791 0.277 [-8.305, 2.438]\n -15.025 1.988 0.196 [-19.204, -11.702]\n 0.357 2.488 0.247 [-3.864, 4.839]\n 13.166 1.457 0.142 [10.860, 16.189]\n 38.485 2.299 0.228 [34.632, 42.774]\n -11.345 2.529 0.251 [-14.817, -5.261]\n -17.374 2.664 0.264 [-20.592, -12.357]\n -13.691 1.898 0.187 [-17.267, -10.410]\n -0.297 2.205 0.218 [-2.982, 5.086]\n 3.179 2.530 0.251 [-0.946, 7.507]\n -18.847 2.451 0.243 [-22.518, -13.369]\n 12.966 1.588 0.155 [10.110, 15.705]\n -46.129 4.784 0.477 [-56.010, -40.203]\n -0.859 2.223 0.220 [-5.906, 2.725]\n 15.307 2.877 0.286 [8.327, 19.158]\n 16.154 1.839 0.181 [12.722, 19.726]\n 13.035 1.724 0.169 [9.985, 16.097]\n 21.899 3.738 0.373 [16.248, 26.975]\n -5.457 4.179 0.417 [-10.786, 3.706]\n 15.041 2.425 0.240 [10.505, 18.750]\n -28.065 2.944 0.293 [-33.585, -22.774]\n 30.529 2.084 0.206 [26.662, 34.218]\n 8.610 2.735 0.271 [3.083, 13.670]\n 11.002 3.951 0.394 [2.780, 15.289]\n 37.257 2.963 0.294 [33.126, 41.771]\n -8.022 2.407 0.238 [-13.070, -3.904]\n -39.273 2.363 0.234 [-43.684, -34.652]\n -28.598 4.006 0.399 [-37.143, -22.528]\n 26.482 2.481 0.246 [22.091, 30.299]\n -42.375 2.014 0.198 [-44.905, -36.884]\n -6.955 2.204 0.218 [-10.872, -3.105]\n 22.804 2.613 0.259 [17.570, 27.258]\n 0.129 1.746 0.172 [-2.610, 3.386]\n -6.407 1.686 0.165 [-9.589, -3.858]\n -21.225 5.975 0.597 [-31.575, -13.390]\n 20.638 2.377 0.236 [16.150, 23.958]\n -18.642 1.635 0.161 [-21.811, -16.125]\n 20.268 2.759 0.274 [15.184, 25.451]\n -3.318 1.404 0.136 [-6.308, -0.647]\n -16.824 3.020 0.300 [-21.374, -10.172]\n 7.612 2.311 0.229 [3.630, 12.062]\n 21.455 2.638 0.262 [15.898, 24.822]\n -16.866 1.670 0.164 [-19.362, -13.209]\n -15.220 1.907 0.188 [-19.419, -12.068]\n -0.206 1.797 0.177 [-3.243, 3.036]\n 6.415 1.521 0.149 [4.040, 9.170]\n 29.356 3.869 0.385 [23.454, 35.496]\n -21.944 4.561 0.455 [-30.377, -14.762]\n 29.466 2.153 0.213 [25.980, 33.666]\n 6.492 2.763 0.274 [3.150, 11.418]\n -15.039 2.896 0.288 [-19.992, -10.081]\n -0.358 3.258 0.324 [-6.706, 3.609]\n 3.048 1.560 0.153 [-0.064, 6.123]\n 8.371 3.282 0.327 [1.153, 13.120]\n -13.528 3.253 0.324 [-20.483, -9.227]\n 13.866 3.920 0.390 [7.205, 22.473]\n 6.453 1.859 0.183 [3.805, 10.997]\n -36.219 2.622 0.260 [-40.534, -29.920]\n -33.236 4.254 0.425 [-39.650, -25.532]\n -22.744 1.548 0.152 [-25.289, -20.195]\n -19.865 2.330 0.231 [-22.749, -15.566]\n 0.623 2.164 0.214 [-3.017, 4.962]\n 1.295 1.759 0.173 [-2.034, 4.213]\n -6.696 3.434 0.342 [-12.667, -1.623]\n 7.374 1.810 0.178 [4.110, 10.472]\n -19.847 4.024 0.401 [-27.869, -13.760]\n 8.924 2.510 0.249 [2.146, 13.048]\n 10.844 1.952 0.193 [7.966, 15.515]\n 9.209 1.590 0.156 [6.299, 12.197]\n -8.952 1.634 0.160 [-11.700, -5.628]\n -42.927 2.126 0.210 [-46.653, -39.184]\n 16.792 4.094 0.408 [9.626, 22.062]\n 18.355 1.988 0.196 [14.904, 21.431]\n -3.290 4.003 0.399 [-8.980, 5.326]\n 32.319 3.969 0.395 [25.660, 39.460]\n 14.346 3.645 0.363 [7.094, 18.890]\n 2.724 2.492 0.247 [-1.110, 7.197]\n -22.090 1.758 0.173 [-25.738, -19.248]\n -29.714 4.142 0.413 [-37.637, -23.325]\n 13.501 2.259 0.224 [9.608, 17.733]\n 8.579 1.506 0.148 [5.661, 11.788]\n -7.241 2.243 0.222 [-11.527, -4.439]\n 4.212 3.461 0.345 [-0.711, 10.746]\n -18.887 4.309 0.430 [-25.993, -12.508]\n 5.943 1.998 0.198 [2.464, 8.994]\n 39.263 2.722 0.270 [34.891, 43.786]\n -26.550 3.160 0.315 [-32.894, -19.163]\n -5.247 2.813 0.279 [-11.056, -1.376]\n 20.751 5.335 0.532 [12.067, 28.714]\n -20.124 5.093 0.508 [-27.775, -8.598]\n -2.624 4.189 0.418 [-8.839, 4.882]\n -6.345 2.377 0.235 [-11.776, -2.741]\n -18.621 2.279 0.225 [-22.288, -13.894]\n -30.559 3.180 0.317 [-35.245, -25.542]\n 11.186 2.281 0.226 [6.597, 14.339]\n -19.079 5.494 0.548 [-27.316, -10.769]\n -16.290 3.914 0.390 [-22.655, -9.770]\n -23.727 2.620 0.260 [-27.615, -18.584]\n 14.473 3.371 0.335 [10.550, 21.155]\n -9.445 2.568 0.255 [-14.841, -5.659]\n -2.283 2.879 0.286 [-6.825, 2.434]\n -11.281 1.824 0.180 [-13.820, -7.655]\n -17.894 3.160 0.315 [-22.440, -11.888]\n -11.976 4.119 0.411 [-18.546, -6.302]\n -9.906 2.274 0.225 [-14.983, -6.097]\n -5.434 2.583 0.256 [-9.886, -1.441]\n -14.245 5.742 0.573 [-20.449, -3.309]\n 42.468 7.856 0.785 [30.938, 56.112]\n 14.476 1.732 0.170 [11.103, 17.528]\n 17.233 2.069 0.204 [12.289, 20.406]\n 4.165 3.181 0.316 [-0.069, 9.576]\n -10.256 1.817 0.179 [-14.069, -6.640]\n -2.326 1.812 0.178 [-5.142, 0.862]\n 15.871 3.585 0.357 [10.539, 21.528]\n 16.189 3.598 0.358 [10.899, 22.021]\n 1.648 2.998 0.298 [-5.563, 6.020]\n -38.419 2.414 0.239 [-42.378, -35.084]\n 26.310 1.854 0.182 [23.435, 30.000]\n -3.373 4.130 0.412 [-10.652, 2.710]\n -3.585 3.147 0.313 [-9.342, 0.768]\n 14.323 3.613 0.360 [9.168, 20.101]\n 29.624 2.793 0.278 [24.663, 33.947]\n 13.507 2.293 0.227 [9.119, 17.277]\n -8.706 5.390 0.538 [-17.741, -0.469]\n -5.269 2.733 0.272 [-9.862, -0.737]\n 35.681 1.856 0.182 [32.018, 38.661]\n -8.153 2.337 0.232 [-13.113, -4.304]\n -13.089 4.246 0.423 [-19.939, -6.125]\n 27.942 1.100 0.105 [25.770, 29.987]\n 11.218 2.497 0.248 [7.159, 15.873]\n -26.977 2.240 0.222 [-30.774, -22.743]\n 19.335 1.336 0.130 [17.077, 21.894]\n -7.134 2.422 0.240 [-10.349, -2.109]\n -3.381 2.340 0.232 [-7.158, 1.179]\n 23.973 1.473 0.144 [21.376, 26.660]\n -35.924 2.043 0.202 [-40.188, -32.761]\n 5.437 6.281 0.627 [-3.286, 16.795]\n -41.328 1.923 0.189 [-44.939, -36.583]\n -12.958 4.063 0.405 [-19.528, -6.885]\n 8.397 3.007 0.299 [3.982, 14.049]\n 15.506 2.733 0.272 [10.208, 19.630]\n -38.770 1.563 0.153 [-41.360, -35.338]\n -31.384 1.344 0.132 [-33.999, -29.069]\n -14.914 2.226 0.220 [-18.299, -10.544]\n 14.740 2.152 0.213 [11.059, 18.553]\n -43.053 4.139 0.413 [-50.009, -37.261]\n 29.699 3.745 0.373 [24.630, 35.633]\n 17.665 2.248 0.222 [13.110, 21.167]\n -14.309 2.995 0.298 [-18.371, -7.854]\n 3.521 4.025 0.401 [-6.497, 8.749]\n -7.805 2.802 0.278 [-13.898, -3.366]\n -9.601 2.921 0.290 [-14.778, -5.574]\n 13.359 1.648 0.161 [10.146, 16.087]\n 4.321 2.153 0.213 [1.613, 8.905]\n -25.244 3.216 0.320 [-29.172, -17.461]\n 3.424 2.029 0.200 [-0.126, 6.706]\n -49.244 3.009 0.299 [-53.874, -44.556]\n -28.248 3.783 0.377 [-34.631, -23.361]\n -27.379 3.451 0.344 [-32.978, -21.588]\n -17.076 3.257 0.324 [-22.436, -11.225]\n 14.883 4.177 0.416 [9.212, 24.873]\n -19.506 2.708 0.268 [-23.693, -14.161]\n -15.674 1.843 0.181 [-18.218, -11.683]\n -3.110 1.419 0.138 [-5.621, -0.643]\n 21.088 3.016 0.300 [16.535, 26.068]\n -13.647 4.631 0.462 [-20.875, -5.487]\n -7.770 2.436 0.241 [-12.422, -4.329]\n -34.391 2.223 0.220 [-39.288, -31.563]\n 24.659 1.935 0.191 [21.796, 28.858]\n -7.199 2.459 0.244 [-11.999, -2.994]\n -14.606 1.874 0.185 [-17.647, -10.576]\n 1.748 2.495 0.248 [-3.246, 5.583]\n 23.746 4.927 0.492 [14.283, 30.198]\n -34.029 3.398 0.338 [-41.639, -29.084]\n 28.646 1.875 0.185 [23.899, 31.868]\n 0.075 2.350 0.233 [-4.058, 3.919]\n 13.234 4.559 0.455 [6.832, 20.548]\n 10.412 1.853 0.182 [6.944, 13.790]\n -26.346 2.519 0.250 [-30.570, -22.079]\n 20.012 1.501 0.146 [17.103, 22.439]\n -14.846 2.682 0.266 [-19.095, -10.117]\n -13.935 3.550 0.353 [-21.084, -9.097]\n -4.738 1.847 0.182 [-8.071, -1.768]\n 6.675 3.575 0.356 [0.075, 12.438]\n -14.241 2.245 0.222 [-17.830, -9.696]\n 10.186 1.330 0.129 [7.366, 12.521]\n 20.178 2.278 0.225 [15.663, 23.763]\n 10.175 2.370 0.235 [6.686, 14.459]\n 19.343 2.542 0.252 [14.979, 23.715]\n 16.828 1.920 0.189 [13.082, 19.616]\n -3.571 5.052 0.504 [-12.149, 3.605]\n 19.432 1.407 0.137 [16.127, 22.056]\n 5.230 2.839 0.282 [0.359, 9.830]\n -7.362 2.121 0.210 [-10.569, -3.076]\n 2.547 1.708 0.168 [-0.815, 4.955]\n 15.481 2.645 0.263 [11.198, 19.794]\n -36.238 2.055 0.203 [-39.667, -32.422]\n -4.510 1.653 0.162 [-7.791, -1.386]\n 0.645 2.587 0.257 [-4.524, 4.450]\n 17.191 3.351 0.334 [12.118, 23.243]\n -42.775 5.854 0.584 [-49.857, -32.034]\n 1.615 1.939 0.191 [-1.929, 5.188]\n -53.262 3.939 0.392 [-61.682, -47.679]\n 2.681 1.895 0.187 [-1.487, 4.995]\n -21.678 5.234 0.522 [-30.087, -15.009]\n -1.114 1.838 0.181 [-4.707, 2.031]\n -19.189 2.226 0.220 [-22.751, -14.725]\n 15.384 1.170 0.113 [12.891, 17.164]\n 50.815 5.985 0.598 [44.039, 60.534]\n -32.541 2.216 0.219 [-36.391, -28.843]\n 4.224 2.184 0.217 [0.539, 8.103]\n -14.376 3.484 0.347 [-21.065, -10.062]\n 8.181 1.937 0.191 [4.416, 11.099]\n 26.941 2.555 0.253 [20.934, 30.939]\n -0.533 2.668 0.265 [-4.618, 4.900]\n -0.156 2.344 0.232 [-3.619, 4.376]\n -17.916 2.641 0.262 [-22.382, -13.400]\n -10.935 4.471 0.446 [-19.357, -4.178]\n -17.785 2.836 0.282 [-22.609, -13.575]\n 11.820 3.827 0.381 [4.209, 16.318]\n 4.170 2.121 0.209 [0.756, 8.329]\n 6.912 2.027 0.200 [3.567, 10.580]\n 36.921 4.640 0.463 [30.588, 44.706]\n -11.003 3.485 0.347 [-15.830, -3.145]\n -18.837 4.686 0.468 [-26.263, -10.516]\n -23.675 2.308 0.228 [-28.138, -19.223]\n 8.787 1.501 0.147 [6.322, 11.432]\n 10.902 3.980 0.396 [5.209, 17.530]\n 68.357 4.612 0.460 [59.411, 74.968]\n 18.072 1.155 0.112 [16.210, 20.218]\n 35.347 2.557 0.254 [32.144, 42.649]\n -9.442 4.802 0.479 [-16.369, -1.845]\n -10.477 2.664 0.264 [-15.276, -5.518]\n 4.991 2.471 0.245 [0.866, 9.763]\n 46.090 3.202 0.319 [39.878, 51.903]\n -32.134 3.315 0.330 [-39.984, -27.594]\n -4.081 2.423 0.240 [-9.647, -0.922]\n -37.711 1.743 0.172 [-41.016, -34.731]\n 30.102 3.006 0.299 [24.080, 35.143]\n 12.895 3.386 0.337 [7.032, 18.195]\n -20.097 5.444 0.544 [-27.389, -11.423]\n 0.307 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1.689 0.166 [-10.546, -4.429]\n 36.495 2.615 0.260 [31.779, 40.757]\n -16.000 2.147 0.213 [-21.258, -12.908]\n 12.751 2.032 0.201 [8.717, 15.460]\n 29.873 3.309 0.330 [23.403, 34.074]\n -13.470 4.385 0.437 [-21.030, -5.831]\n -32.493 2.248 0.222 [-36.275, -27.557]\n 47.192 4.169 0.415 [41.408, 54.770]\n 6.023 4.463 0.445 [-2.470, 11.684]\n 22.710 1.391 0.135 [19.354, 24.823]\n -7.832 1.775 0.175 [-10.923, -4.785]\n 45.958 1.895 0.187 [42.751, 48.961]\n -9.586 2.138 0.211 [-13.036, -5.905]\n -40.152 3.618 0.360 [-45.607, -34.854]\n -14.695 1.707 0.168 [-18.154, -12.322]\n -1.191 2.978 0.296 [-7.286, 2.064]\n\n", | |
| "name": "stdout" | |
| }, | |
| { | |
| "output_type": "stream", | |
| "text": " Posterior quantiles:\n 2.5 25 50 75 97.5\n |--------------|==============|==============|--------------|\n \n 9.301 10.516 11.945 13.843 17.148\n 17.320 23.573 25.417 26.527 28.267\n -3.494 4.009 5.888 9.469 11.874\n -6.925 -3.821 -0.080 1.290 3.281\n 24.950 28.720 30.770 32.493 34.287\n 22.784 26.990 31.497 32.568 35.909\n -0.708 1.074 1.953 2.767 5.365\n -29.938 -27.751 -27.166 -26.381 -24.031\n -16.213 -12.215 -10.346 -8.623 -6.715\n -9.244 -6.408 -4.784 -2.635 -0.405\n -12.593 -10.612 -7.831 -1.662 1.905\n 4.363 7.390 8.519 11.726 13.524\n -0.415 2.219 3.782 9.423 14.361\n -8.521 -6.179 -4.677 -1.764 0.824\n 22.829 24.323 26.377 27.199 30.389\n 12.699 16.157 17.918 20.411 23.035\n -36.685 -35.112 -28.663 -25.566 -18.728\n -33.593 -28.416 -24.045 -19.350 -16.875\n -16.575 -14.475 -12.862 -11.582 -8.321\n 3.188 6.930 8.361 10.512 13.352\n 7.068 9.863 17.504 24.349 32.009\n -16.578 -11.484 -9.506 -7.589 -6.300\n -21.352 -17.712 -15.660 -13.630 -11.272\n 12.299 14.271 16.200 18.438 20.635\n 11.686 13.697 17.152 19.133 21.551\n 0.592 1.891 3.078 4.175 5.355\n -5.351 -2.103 0.795 3.051 5.992\n -4.935 -1.761 -0.331 2.539 4.903\n -5.198 -2.367 -1.384 -0.061 2.420\n -11.935 -10.289 -9.354 -8.149 -6.960\n 4.887 7.844 9.726 11.092 12.545\n -4.524 -3.421 -2.051 4.179 9.168\n -3.172 -0.938 1.625 4.780 8.093\n -27.337 -21.284 -19.525 -18.312 -16.463\n -0.894 1.091 2.775 8.354 14.886\n -26.988 -25.501 -24.231 -23.221 -21.165\n -15.964 -13.626 -11.957 -8.573 -5.330\n 12.243 14.297 19.274 21.392 22.988\n -8.392 -2.969 -0.964 0.929 3.971\n 17.978 19.783 22.052 23.950 30.566\n 10.940 13.282 15.068 19.274 23.124\n -14.414 -12.523 -10.857 -8.148 -4.877\n 12.525 16.462 19.312 21.084 23.030\n 24.730 30.633 32.362 33.302 34.590\n 15.050 17.957 18.952 19.745 22.515\n 11.187 13.529 15.749 17.379 19.973\n 9.616 12.414 14.463 18.849 21.628\n -26.785 -25.099 -24.365 -22.927 -20.172\n 29.297 33.548 35.656 37.222 38.753\n 13.500 16.792 17.974 19.217 21.483\n 16.792 18.870 21.990 23.733 26.565\n -40.699 -38.573 -37.414 -36.007 -31.243\n 0.167 4.733 8.501 11.187 14.146\n 14.386 16.446 18.101 19.989 23.020\n -14.430 -12.534 -11.413 -10.105 -6.149\n 2.686 6.092 8.125 10.038 13.712\n 12.186 15.193 17.778 19.840 22.218\n -4.418 -2.733 -1.601 1.091 5.760\n -32.754 -30.365 -24.877 -21.564 -19.086\n -8.899 -7.013 -5.743 -4.178 -2.126\n -21.656 -16.614 -14.969 -12.213 -9.458\n -27.522 -25.399 -24.478 -23.740 -21.745\n -15.004 -13.104 -11.833 -10.377 -7.923\n 3.221 4.587 5.959 9.398 13.953\n 12.757 14.827 16.795 18.463 19.997\n 3.702 6.069 8.460 10.217 11.774\n 38.404 39.918 41.015 41.964 43.796\n -9.935 -7.348 -5.502 -3.948 0.759\n 7.423 10.575 12.395 15.238 19.473\n 21.059 22.934 24.945 28.235 32.000\n -1.412 3.715 5.723 8.995 12.157\n -58.539 -56.438 -55.308 -53.169 -48.844\n 21.430 22.945 23.844 24.680 26.325\n -29.113 -25.707 -20.569 -16.109 -5.941\n -4.150 -0.851 1.065 2.252 3.388\n 2.814 5.210 11.549 15.590 17.407\n 42.121 44.613 47.448 51.022 53.709\n -9.639 -7.220 -4.506 -2.291 -0.226\n -9.851 -7.970 -6.595 -4.324 -1.897\n 51.586 52.840 53.642 54.694 57.404\n 28.845 30.756 32.275 33.925 36.226\n -31.245 -27.295 -20.272 -14.446 -11.963\n -42.746 -40.254 -38.900 -37.883 -32.184\n 28.583 31.907 36.358 38.085 41.536\n 5.678 8.943 10.170 12.218 14.031\n 5.929 7.953 10.507 11.975 14.581\n -4.649 -0.670 1.569 3.650 5.841\n 18.828 23.169 24.850 25.976 28.385\n 4.398 7.362 9.003 9.847 11.114\n 3.524 6.697 8.720 10.254 14.084\n 11.627 14.110 21.631 22.946 25.508\n -4.313 -1.610 -0.227 1.489 2.847\n 0.284 1.707 4.494 6.530 8.292\n -26.073 -24.327 -22.359 -21.336 -20.111\n 6.767 9.445 10.766 13.165 15.439\n -50.131 -45.206 -42.663 -40.499 -37.602\n 1.249 5.489 8.956 10.955 12.582\n -21.725 -20.464 -19.786 -19.058 -16.886\n -16.026 -13.257 -11.811 -10.185 -2.661\n 22.595 24.973 27.158 30.015 32.067\n -29.064 -27.354 -22.634 -20.813 -17.772\n 17.245 21.664 23.401 24.493 26.240\n 7.588 9.759 12.151 13.769 15.435\n -17.698 -14.755 -13.563 -10.549 -8.628\n -0.763 1.249 3.244 5.177 7.849\n -33.037 -31.505 -29.514 -25.928 -21.899\n 2.532 4.585 7.992 13.612 16.143\n -15.574 -13.847 -12.684 -11.630 -8.639\n 0.739 3.045 4.504 6.058 10.957\n 4.115 7.766 10.103 12.086 19.286\n 4.275 11.181 12.425 14.314 16.555\n -6.742 -3.811 -1.961 -0.778 3.242\n 16.471 18.569 19.329 20.214 23.284\n -11.619 -8.561 -6.004 -4.818 -3.377\n -18.108 -15.979 -14.213 -12.704 -10.313\n 6.864 8.163 8.906 10.173 12.370\n 2.890 4.520 7.512 9.007 17.667\n -1.311 2.122 3.407 4.565 5.612\n 10.047 11.837 13.870 15.757 20.280\n 12.212 14.987 16.380 17.595 19.971\n 16.205 18.092 18.942 20.278 22.117\n -15.474 -13.373 -12.401 -10.483 -7.525\n -1.947 -0.713 0.314 1.931 5.437\n 4.943 7.083 8.830 10.189 12.664\n -30.811 -28.195 -23.592 -22.590 -20.629\n 14.818 20.564 22.059 26.538 28.662\n -7.333 -5.974 -4.984 -3.709 -0.560\n 7.619 9.676 12.120 14.498 18.046\n -35.802 -33.492 -31.958 -31.277 -29.383\n -2.759 -1.540 1.155 3.181 4.949\n 7.041 9.146 11.277 14.011 18.591\n 9.415 14.032 22.263 26.549 29.515\n -22.526 -19.932 -18.267 -13.252 -8.454\n -11.660 -8.981 -7.949 -6.797 -5.089\n -12.296 -9.216 -7.052 -5.194 -2.560\n -45.899 -43.275 -40.623 -36.998 -35.775\n 13.373 15.174 18.983 20.799 23.372\n 18.920 21.509 26.083 27.889 31.326\n -21.631 -19.240 -15.646 -14.416 -13.197\n 13.422 15.305 17.907 20.037 22.238\n -2.529 -0.363 1.137 5.953 10.158\n 31.209 32.705 34.683 36.314 38.276\n 12.221 13.708 15.356 16.504 20.482\n -0.471 2.907 5.460 11.004 13.592\n 7.644 13.394 17.264 19.074 22.593\n -25.432 -22.831 -19.153 -16.398 -11.333\n -5.068 1.888 4.642 6.553 8.380\n -9.957 -7.552 -5.367 -2.303 1.811\n -32.554 -29.175 -27.567 -26.467 -24.047\n 29.935 33.867 35.049 35.822 39.456\n -30.929 -29.335 -24.284 -19.985 -11.584\n 11.727 14.051 15.116 16.173 19.804\n -10.996 -7.278 -4.862 -3.326 -1.266\n -6.813 -4.732 -2.828 -1.007 2.438\n -35.599 -33.153 -31.449 -29.205 -25.765\n 7.713 10.160 13.101 18.938 21.057\n 30.683 31.727 32.761 34.382 36.696\n -18.420 -13.321 -11.422 -10.365 -9.013\n 5.763 9.653 11.724 13.607 16.599\n 26.317 30.420 33.055 35.079 36.811\n -9.889 -7.856 -5.483 -3.215 -1.023\n -19.063 -17.606 -16.808 -16.055 -9.570\n 4.711 7.119 8.920 10.356 11.340\n -0.035 3.458 6.367 11.094 13.079\n 18.420 20.881 22.048 23.169 26.184\n -18.519 -16.131 -14.935 -10.266 -3.123\n -17.452 -15.490 -14.576 -12.498 -8.799\n 29.606 31.935 34.324 35.302 36.307\n 14.346 15.935 17.078 18.137 19.887\n -17.114 -12.414 -8.630 -6.371 -1.567\n -31.718 -29.562 -27.967 -26.777 -20.178\n -2.888 -1.460 -0.526 0.590 2.552\n 30.579 32.807 34.072 35.403 38.111\n 9.009 12.329 16.166 19.772 22.375\n -6.339 -1.357 4.223 6.637 10.553\n -45.937 -44.542 -43.061 -41.451 -39.823\n 1.005 7.564 9.319 10.425 15.381\n -13.545 -10.226 -8.592 -7.418 -6.351\n 35.599 39.313 42.205 44.318 47.128\n 6.694 8.374 10.079 12.519 14.174\n -32.071 -29.240 -27.849 -26.293 -24.230\n -20.759 -19.249 -17.546 -15.690 -11.333\n 38.849 43.095 45.495 47.240 49.176\n -32.225 -30.174 -23.544 -19.431 -12.062\n -49.846 -48.073 -45.296 -43.259 -41.604\n -42.433 -39.030 -37.751 -36.316 -29.424\n 2.648 4.289 12.343 14.489 17.546\n -38.837 -33.489 -27.967 -25.530 -22.613\n -35.132 -32.588 -31.428 -28.346 -26.690\n -30.965 -28.893 -27.247 -21.993 -20.053\n -6.997 -2.948 1.241 5.434 7.692\n -16.418 -14.602 -13.480 -10.703 -4.515\n 14.207 16.290 17.581 21.210 23.423\n 5.915 8.160 9.831 11.248 13.512\n 13.479 15.307 18.400 19.983 21.752\n -15.097 -10.848 -6.190 -4.996 -3.527\n 0.464 2.434 9.106 11.193 14.136\n 10.288 12.768 15.330 16.303 22.239\n 3.576 8.200 9.739 10.658 12.711\n -27.749 -24.982 -23.386 -21.994 -19.485\n -11.184 -5.589 -3.019 -0.544 0.795\n 6.330 10.278 12.765 16.044 18.489\n 22.359 24.048 25.759 28.007 30.895\n -3.764 -1.801 0.125 2.191 4.595\n -22.432 -18.243 -16.546 -13.895 -11.684\n 24.358 28.399 30.134 31.536 33.710\n -10.689 -3.080 -2.024 -0.368 2.383\n 24.649 27.128 28.989 33.990 38.949\n 4.552 6.126 7.540 13.541 19.277\n -4.671 -2.789 -1.627 -0.470 0.833\n 36.761 39.886 41.024 43.681 45.594\n -40.907 -38.867 -37.515 -35.333 -34.070\n 4.011 7.398 9.772 11.562 12.876\n 8.059 10.209 14.165 19.800 21.238\n 30.221 32.681 35.006 37.429 39.968\n -40.157 -37.639 -35.661 -34.267 -32.862\n 8.693 10.682 11.644 12.662 13.987\n -40.178 -35.463 -32.732 -30.718 -28.298\n 17.921 27.209 29.961 31.712 34.967\n 28.746 29.819 30.777 34.057 37.970\n -3.725 -2.311 0.485 4.250 8.755\n 2.539 5.518 8.066 9.895 14.032\n 4.869 7.247 9.467 11.156 13.977\n -11.318 -8.743 -5.769 -3.663 1.904\n -29.758 -26.878 -25.593 -24.413 -21.067\n -9.384 -6.777 -4.064 -2.762 -0.619\n -6.863 -5.349 -4.074 -2.115 -0.382\n 8.474 17.427 23.194 25.915 30.255\n 15.802 17.309 18.710 20.012 21.585\n 16.422 19.520 22.819 23.916 27.303\n -26.822 -23.922 -19.150 -16.888 -10.664\n -8.122 -7.028 -6.037 -4.267 -0.426\n -10.983 -8.769 -7.618 -5.961 -2.918\n -14.891 -13.039 -6.528 -4.036 -0.987\n -6.682 -3.577 -2.220 -0.760 2.432\n -5.561 -4.090 -2.799 1.213 5.092\n -30.325 -27.293 -23.349 -21.148 -18.083\n -27.838 -24.436 -18.012 -15.359 -11.969\n 13.880 16.081 18.085 19.241 20.811\n -33.847 -32.020 -30.880 -30.089 -29.101\n -11.127 -7.746 -4.727 -1.231 2.311\n -43.850 -39.442 -36.370 -34.752 -30.720\n 11.959 17.349 19.954 22.320 25.763\n 21.810 24.136 26.284 29.615 31.986\n -26.247 -24.366 -20.131 -17.773 -14.743\n 12.644 15.021 17.236 21.374 25.277\n -4.806 -1.831 1.339 3.599 5.777\n -29.610 -27.847 -25.871 -23.194 -18.077\n -16.995 -15.355 -13.392 -11.886 -4.659\n -27.148 -24.505 -23.207 -22.177 -19.031\n 18.804 22.498 29.125 32.400 35.037\n -6.828 -5.539 -3.757 -0.882 1.385\n 19.212 28.460 29.935 32.697 36.420\n 36.694 38.207 39.175 40.194 41.737\n -1.100 1.142 3.900 6.615 9.319\n 16.549 18.419 20.459 21.881 26.467\n -4.537 -3.261 -1.342 3.003 6.571\n -14.336 -10.600 -6.931 -2.847 3.706\n -27.775 -25.837 -24.681 -23.553 -19.891\n 8.329 10.976 11.917 14.768 20.458\n 25.282 27.184 30.838 32.531 33.920\n 25.430 29.007 30.385 31.736 35.286\n 16.796 18.176 23.198 25.558 27.664\n -41.413 -39.028 -36.181 -32.188 -27.529\n -28.754 -25.109 -11.638 -7.693 -2.174\n -18.670 -12.381 -8.162 2.707 7.472\n -14.186 -12.534 -10.442 -7.341 -4.611\n -6.031 -2.953 0.252 4.200 7.675\n -27.076 -24.669 -22.499 -19.570 -17.135\n -44.010 -42.121 -40.156 -38.471 -36.824\n 25.532 27.163 29.060 30.675 33.148\n -2.456 1.115 3.413 5.468 6.660\n -20.555 -17.953 -14.922 -13.285 -10.294\n 9.928 11.457 12.757 14.814 16.573\n 20.431 21.779 22.506 24.396 30.510\n 3.630 5.998 8.029 10.004 11.816\n -44.660 -40.933 -34.118 -28.939 -27.299\n -4.678 -1.009 0.057 3.019 7.530\n 0.101 1.476 3.148 6.257 9.347\n -23.497 -22.042 -20.897 -19.534 -15.933\n 32.164 34.804 38.152 39.224 40.935\n 11.719 14.155 15.517 16.984 22.492\n 13.385 15.769 16.914 18.463 20.115\n -0.378 3.282 5.348 7.534 15.622\n -32.249 -29.088 -25.605 -18.754 -16.049\n -5.699 -4.626 -3.501 -2.281 -0.653\n -14.709 -12.586 -9.530 -7.886 -6.420\n 22.587 25.602 30.758 32.473 35.679\n 18.942 21.058 24.688 27.725 31.757\n -5.203 -3.176 -1.575 2.139 4.433\n -3.808 -2.436 -1.692 -0.293 6.825\n -4.974 -3.360 -2.149 -0.764 0.638\n 20.323 21.793 24.287 26.624 29.393\n 6.712 8.600 9.735 10.788 14.513\n -17.721 -15.824 -14.145 -11.910 -10.374\n -54.160 -49.875 -45.798 -43.457 -41.400\n -40.946 -37.290 -34.359 -32.270 -31.000\n -2.744 4.244 6.656 8.056 9.350\n 0.879 2.863 6.406 8.000 10.989\n -15.343 -13.739 -12.974 -11.957 -10.110\n 9.132 11.091 12.173 13.004 15.726\n 8.197 9.799 11.008 12.054 15.159\n 30.920 34.411 36.253 37.345 38.672\n -9.266 -7.567 -5.888 -2.254 0.429\n -12.839 -10.470 -8.485 -4.891 -2.598\n -1.838 0.153 2.174 3.811 8.447\n -21.283 -18.469 -15.165 -14.059 -12.075\n 10.759 13.756 16.489 18.153 20.448\n -9.251 -4.238 0.373 2.009 3.554\n -3.250 0.391 2.427 5.343 6.808\n -4.034 -1.211 -0.350 2.061 3.977\n -5.947 -2.827 -1.034 0.887 3.807\n 0.993 3.043 5.259 7.162 11.374\n 19.674 22.700 24.586 25.881 27.566\n -19.580 -16.827 -12.083 -7.623 -3.758\n -33.750 -31.367 -30.156 -28.988 -27.264\n 13.017 15.545 17.423 21.176 23.860\n -16.171 -12.183 -8.833 -4.730 -3.375\n -4.510 -3.240 -2.489 -0.427 3.676\n -33.401 -31.120 -29.817 -28.736 -27.115\n 15.645 17.449 18.470 19.554 21.678\n -29.086 -26.226 -23.896 -22.222 -20.506\n -1.395 -0.285 1.019 1.988 3.582\n -3.242 0.445 4.815 6.560 12.224\n -5.081 -2.110 0.672 2.526 5.324\n -2.152 -0.470 0.946 3.821 7.288\n 10.393 13.312 14.416 17.876 20.827\n 26.650 28.696 30.298 33.065 37.033\n -17.657 -12.960 -10.982 -8.191 -5.011\n -26.994 -24.468 -23.660 -22.380 -20.816\n -54.942 -48.783 -43.630 -41.464 -38.681\n -9.626 -7.404 -5.987 -4.919 -3.757\n -20.442 -16.600 -9.231 -4.333 -1.735\n 8.811 12.052 14.577 17.299 20.016\n -4.874 -2.517 -0.464 1.838 4.301\n 1.124 2.907 4.375 5.865 8.223\n -30.345 -24.517 -17.706 -10.362 -8.134\n -9.979 -8.036 -4.666 -1.714 1.311\n 0.865 2.490 4.076 5.145 7.198\n -8.134 -5.432 -3.606 1.358 5.502\n 6.609 8.058 9.481 11.449 16.396\n 3.130 6.356 8.325 11.116 14.935\n 35.520 37.392 39.637 42.282 44.550\n -10.174 -8.786 -7.151 -5.485 -2.593\n -18.639 -11.528 -9.996 -8.578 -6.045\n -1.061 1.373 3.834 4.866 7.565\n -0.134 1.084 2.441 5.047 7.191\n -21.356 -18.472 -17.133 -15.289 -13.706\n 1.835 3.042 4.200 5.967 7.828\n -5.130 -2.379 1.439 2.982 4.755\n 16.576 18.656 21.564 25.848 32.122\n 2.715 5.460 6.589 8.344 11.334\n 5.468 7.626 8.568 9.464 10.988\n 13.276 14.850 16.033 18.767 21.136\n -22.125 -18.470 -16.405 -14.296 -10.966\n -27.493 -23.073 -21.684 -20.687 -19.078\n 26.536 28.634 29.843 33.479 35.951\n 21.402 26.210 28.428 30.852 33.108\n -5.018 -0.063 1.387 2.417 3.763\n -7.862 -2.763 1.328 5.841 9.661\n -15.841 -13.836 -12.127 -7.305 -5.305\n 32.621 34.920 37.198 38.918 40.271\n -29.633 -28.145 -26.029 -18.596 -15.047\n 28.020 29.890 32.217 33.788 38.618\n 2.726 6.960 8.461 10.642 12.706\n 1.320 3.057 6.179 8.219 10.082\n -48.392 -44.522 -39.544 -36.931 -35.087\n -13.287 -6.376 -4.070 -2.193 0.375\n -37.920 -30.949 -24.723 -22.786 -20.756\n 15.906 18.369 19.528 22.385 28.121\n 53.889 55.649 56.980 59.159 61.174\n 13.720 15.971 22.781 26.817 29.484\n -30.120 -26.042 -23.476 -22.400 -20.682\n -19.848 -17.726 -15.016 -12.677 -9.345\n 27.689 37.214 42.369 44.526 46.220\n -8.323 -4.932 -3.387 -2.328 0.031\n -10.400 -7.352 -6.310 -5.102 -3.127\n -53.165 -48.470 -46.166 -44.873 -42.835\n 1.550 3.955 4.963 6.071 7.433\n -19.023 -16.377 -14.090 -12.793 -10.479\n -39.289 -32.276 -29.488 -26.314 -24.405\n 19.386 21.486 23.816 25.402 27.331\n -41.167 -39.301 -37.993 -37.033 -34.768\n -61.338 -57.157 -46.069 -44.708 -41.667\n -30.572 -28.046 -26.449 -24.708 -20.215\n -27.453 -25.244 -23.779 -22.018 -20.306\n -15.039 -12.228 -9.015 -5.105 -2.279\n 6.983 9.120 10.800 17.415 19.673\n -29.819 -28.257 -27.047 -24.819 -20.638\n -5.032 0.148 3.122 4.409 7.023\n -14.905 -12.966 -10.141 -6.609 -3.060\n 3.817 5.930 8.270 10.568 15.731\n -59.291 -55.800 -53.071 -51.932 -50.881\n -13.871 -12.439 -11.341 -9.566 -7.865\n -32.039 -30.155 -28.916 -27.563 -26.591\n 2.041 4.184 7.607 12.399 15.821\n -29.650 -28.076 -24.486 -20.773 -17.685\n -40.538 -38.735 -37.726 -35.275 -33.644\n -55.333 -52.313 -49.726 -48.661 -46.403\n -24.613 -23.323 -21.828 -20.325 -18.619\n 31.915 34.685 37.143 38.223 39.264\n -26.477 -22.898 -19.511 -17.343 -16.099\n 8.687 10.194 13.642 17.618 19.936\n -37.901 -35.714 -32.886 -31.293 -29.325\n -15.631 -10.865 -7.685 -4.681 -2.349\n 0.764 2.602 4.738 6.969 10.477\n -11.230 -8.584 -7.365 -5.183 -2.560\n 16.759 18.273 20.052 21.534 23.935\n 21.152 23.848 25.640 27.884 30.562\n 14.164 15.221 16.157 17.814 19.644\n 29.721 31.075 32.366 34.287 36.107\n -20.813 -17.069 -15.916 -14.804 -13.782\n -2.465 -0.320 3.639 6.719 8.201\n 17.465 18.680 19.892 24.369 26.460\n 1.996 5.294 8.833 11.690 14.002\n -9.462 -7.942 -6.268 -5.284 -2.924\n -12.460 -9.285 -6.415 -4.604 -2.867\n -15.564 -13.729 -10.173 -7.066 -4.504\n -38.387 -34.765 -32.037 -29.325 -27.724\n -15.675 -12.677 -11.180 -9.851 -4.705\n -25.808 -22.096 -19.401 -18.457 -17.137\n -7.466 -5.211 -1.253 7.778 9.897\n -12.253 -10.134 -9.000 -7.542 -4.698\n 10.843 14.206 16.672 18.114 21.170\n -24.800 -19.917 -17.341 -15.545 -14.283\n 16.628 20.198 23.894 25.831 27.802\n -17.268 -13.249 -11.582 -10.239 -8.173\n -51.152 -48.611 -46.162 -44.390 -41.842\n -21.869 -18.048 -15.976 -14.578 -13.053\n -4.802 1.189 4.694 6.214 7.576\n 20.879 28.209 29.356 30.215 33.133\n -8.086 -5.350 -3.801 -2.568 3.676\n -18.525 -16.484 -14.964 -13.655 -10.501\n -3.264 -1.701 0.202 1.607 6.578\n 10.822 12.006 13.106 14.272 16.180\n 34.295 36.982 38.281 40.372 42.579\n -15.268 -13.170 -11.899 -9.928 -5.601\n -20.566 -19.398 -18.435 -15.578 -11.728\n -16.916 -14.844 -14.062 -12.390 -9.901\n -3.193 -1.890 -0.713 0.615 5.030\n -1.606 0.849 3.709 5.388 7.021\n -23.410 -20.471 -19.501 -17.416 -13.836\n 10.314 11.677 12.915 14.364 16.309\n -57.069 -48.998 -44.132 -42.580 -40.797\n -5.594 -2.498 -0.448 0.620 3.313\n 7.683 14.195 16.153 17.246 18.869\n 12.217 15.174 16.117 17.323 19.359\n 9.549 11.792 13.062 14.471 15.878\n 16.166 17.914 23.226 25.256 26.951\n -10.654 -8.903 -6.753 -3.035 4.436\n 9.171 13.760 15.475 17.068 18.326\n -34.128 -30.389 -27.857 -25.794 -22.889\n 26.300 29.008 30.536 32.246 34.213\n 3.569 6.380 8.359 10.368 15.635\n 2.351 9.175 12.506 14.169 15.222\n 32.930 34.439 36.601 40.371 41.737\n -13.468 -9.278 -7.876 -6.591 -4.100\n -43.180 -40.801 -39.482 -37.947 -34.061\n -35.985 -31.897 -28.710 -25.341 -21.190\n 22.091 24.499 26.765 28.521 30.429\n -46.363 -43.799 -42.564 -41.184 -37.506\n -10.810 -8.817 -6.918 -5.339 -2.973\n 16.797 21.250 23.165 24.850 26.944\n -2.756 -1.137 -0.025 1.424 3.386\n -9.713 -7.750 -6.190 -4.973 -3.858\n -31.168 -27.125 -20.678 -15.674 -12.706\n 16.381 18.482 21.074 22.712 24.397\n -21.798 -19.759 -18.441 -17.353 -15.977\n 15.343 18.089 20.498 21.998 25.882\n -5.898 -4.234 -3.543 -2.327 0.181\n -21.624 -18.844 -17.406 -14.860 -10.241\n 3.682 5.984 7.424 9.178 12.277\n 16.439 18.810 22.168 23.354 25.953\n -19.333 -18.129 -17.198 -15.861 -13.144\n -19.419 -16.368 -15.039 -13.794 -12.068\n -3.835 -1.563 0.075 1.198 2.829\n 4.120 5.154 6.320 7.421 10.205\n 23.527 25.794 28.508 33.179 35.826\n -31.783 -25.779 -20.543 -18.380 -15.116\n 25.637 27.645 29.642 31.111 33.570\n 2.862 4.263 5.443 9.484 11.346\n -19.815 -17.195 -15.185 -13.513 -7.507\n -6.988 -2.906 1.100 2.119 3.603\n 0.120 1.931 2.915 4.039 6.456\n 0.579 6.375 9.105 10.640 12.887\n -20.240 -16.364 -12.339 -11.048 -8.659\n 7.264 10.931 12.854 16.533 23.075\n 3.494 5.049 6.255 7.476 10.890\n -40.047 -37.987 -36.681 -34.934 -28.824\n -39.423 -36.657 -34.138 -29.737 -25.021\n -25.201 -24.087 -22.912 -21.491 -19.788\n -22.943 -21.776 -20.629 -17.419 -15.614\n -2.843 -1.154 0.496 1.794 5.803\n -1.963 -0.217 1.487 2.688 4.554\n -13.132 -8.848 -6.001 -3.782 -1.798\n 3.898 5.995 7.472 8.761 10.449\n -28.328 -22.333 -19.516 -16.648 -14.153\n 1.566 8.012 9.355 10.537 12.680\n 7.844 9.547 10.611 11.560 15.467\n 6.241 8.241 9.059 9.963 12.197\n -11.858 -10.351 -8.983 -7.629 -5.707\n -46.804 -44.620 -42.793 -41.377 -39.188\n 9.573 12.983 18.798 20.380 22.062\n 14.904 16.780 18.563 20.024 21.431\n -8.980 -6.648 -3.122 -1.509 5.707\n 26.112 29.238 31.772 35.987 40.246\n 7.170 10.778 14.767 17.675 19.598\n -1.174 0.457 2.868 4.502 7.197\n -25.703 -23.182 -21.879 -20.760 -19.126\n -38.172 -32.655 -28.219 -27.034 -23.418\n 8.667 12.035 13.535 15.254 17.351\n 4.543 7.792 8.557 9.493 11.441\n -11.527 -9.193 -6.399 -5.501 -4.439\n -0.663 0.790 4.667 6.236 11.184\n -26.981 -22.851 -17.195 -15.340 -12.715\n 2.471 4.171 6.502 7.426 9.044\n 34.519 37.028 39.086 41.689 43.587\n -32.716 -28.119 -26.284 -25.133 -18.739\n -11.601 -7.599 -4.007 -3.265 -1.665\n 12.067 15.738 22.550 25.467 28.743\n -28.318 -25.080 -19.590 -17.596 -8.705\n -9.215 -6.557 -3.075 1.171 4.682\n -12.234 -7.236 -5.585 -5.001 -3.011\n -22.608 -20.319 -18.780 -17.001 -14.144\n -35.192 -33.519 -30.225 -27.810 -24.943\n 6.770 9.636 10.994 13.142 14.896\n -26.949 -23.046 -20.055 -13.458 -7.924\n -22.646 -20.288 -15.219 -13.236 -9.592\n -27.568 -26.269 -23.671 -22.088 -18.346\n 10.550 11.843 13.444 17.341 21.162\n -14.915 -10.593 -8.953 -7.551 -5.697\n -6.825 -4.946 -2.146 0.017 2.507\n -14.456 -12.733 -11.527 -9.835 -7.854\n -22.945 -20.628 -18.233 -15.636 -12.097\n -18.466 -16.042 -10.607 -8.549 -6.188\n -14.948 -11.288 -9.927 -8.209 -5.996\n -10.341 -8.030 -4.605 -3.552 -1.546\n -20.677 -18.449 -16.759 -8.084 -3.334\n 31.145 35.798 42.129 49.197 56.698\n 10.058 13.259 14.593 15.659 17.511\n 12.324 16.487 17.454 18.652 20.576\n -0.069 1.608 3.030 7.767 9.593\n -13.624 -11.464 -10.657 -9.006 -6.088\n -5.142 -3.972 -2.296 -1.058 1.084\n 10.023 12.602 16.640 19.072 21.334\n 10.680 13.099 15.613 19.339 22.012\n -6.049 0.092 2.013 3.811 5.798\n -42.371 -40.988 -37.463 -36.357 -34.877\n 22.943 25.028 26.034 27.896 29.845\n -11.602 -6.581 -1.490 -0.253 2.119\n -9.215 -5.709 -2.912 -1.097 0.956\n 9.366 11.200 13.115 17.838 21.018\n 24.390 27.558 29.802 32.163 33.790\n 8.713 11.777 13.649 15.418 17.215\n -18.083 -13.875 -7.125 -4.355 -0.645\n -10.177 -7.820 -5.253 -2.850 -0.761\n 31.904 34.530 35.868 37.219 38.635\n -13.390 -9.748 -7.914 -6.252 -4.316\n -19.407 -16.288 -13.337 -9.284 -4.541\n 25.785 27.098 28.014 28.704 30.307\n 7.141 9.207 11.066 13.219 15.873\n -30.704 -28.752 -27.283 -25.601 -22.033\n 16.909 18.415 19.225 20.369 21.819\n -10.271 -9.195 -7.938 -5.151 -1.730\n -7.334 -5.183 -3.316 -1.871 1.112\n 20.704 22.849 23.983 25.166 26.370\n -39.418 -37.143 -35.956 -35.070 -30.138\n -2.919 -0.381 3.809 11.249 18.126\n -44.906 -42.424 -41.443 -40.525 -36.487\n -19.528 -16.382 -13.401 -8.875 -6.684\n 3.283 5.706 8.695 10.810 13.877\n 10.363 13.344 15.902 17.676 19.859\n -41.354 -39.939 -38.936 -37.874 -35.161\n -33.994 -32.303 -31.271 -30.518 -28.923\n -18.528 -16.639 -15.297 -13.060 -10.701\n 11.059 12.897 14.665 16.527 18.553\n -49.747 -46.870 -42.667 -39.300 -36.472\n 24.630 26.268 29.702 32.840 35.766\n 13.444 16.375 18.114 19.265 21.638\n -18.163 -16.174 -15.307 -13.490 -7.402\n -6.406 1.644 4.608 6.050 9.790\n -14.709 -8.658 -7.144 -5.766 -3.928\n -14.751 -11.986 -8.978 -7.321 -5.329\n 10.169 12.279 13.458 14.522 16.442\n 0.648 2.751 3.796 5.791 8.549\n -30.352 -27.348 -26.191 -24.102 -17.768\n -0.041 1.636 3.525 5.129 7.063\n -54.177 -51.846 -49.673 -46.173 -44.582\n -34.493 -31.626 -29.069 -24.579 -22.697\n -33.474 -29.908 -27.098 -24.389 -21.819\n -21.937 -19.958 -17.142 -14.376 -10.420\n 9.212 12.208 14.052 16.171 25.006\n -23.493 -21.793 -19.613 -18.183 -13.430\n -19.349 -17.058 -15.870 -14.347 -11.935\n -5.500 -4.226 -3.240 -2.128 -0.471\n 16.508 18.983 20.333 24.323 26.068\n -21.464 -18.319 -12.764 -9.973 -5.552\n -12.511 -8.890 -7.215 -5.945 -4.329\n -39.288 -35.552 -33.839 -32.677 -31.442\n 21.466 23.324 24.404 25.971 28.759\n -12.457 -9.007 -6.826 -5.575 -3.285\n -18.627 -15.864 -14.750 -13.163 -11.437\n -3.246 -0.017 1.769 3.918 5.595\n 14.283 20.368 24.256 28.749 30.248\n -42.165 -35.493 -34.124 -31.252 -29.084\n 23.795 27.860 28.812 29.887 31.868\n -4.349 -1.583 0.582 1.834 3.790\n 6.832 9.494 11.592 18.196 20.563\n 7.031 9.117 9.998 11.886 14.077\n -30.724 -28.785 -25.555 -24.539 -22.132\n 17.282 19.115 19.888 21.145 23.154\n -19.113 -17.190 -14.970 -12.575 -10.117\n -21.084 -15.918 -13.144 -11.024 -9.097\n -8.041 -6.366 -4.566 -3.300 -1.700\n 0.075 3.958 6.853 9.796 12.438\n -17.528 -15.996 -14.509 -12.993 -8.428\n 7.034 9.583 10.341 11.174 12.294\n 15.141 18.584 20.745 21.899 23.682\n 6.686 8.092 9.774 12.064 14.492\n 15.020 17.515 19.233 20.964 23.898\n 12.487 15.665 16.973 18.499 19.616\n -12.043 -7.314 -4.330 1.697 4.380\n 15.199 18.855 19.509 20.182 21.963\n 0.984 2.823 4.730 7.739 10.660\n -10.634 -9.184 -7.359 -6.044 -3.076\n -0.815 1.243 2.857 3.941 4.955\n 11.208 13.338 15.469 17.981 19.981\n -39.393 -37.833 -36.676 -34.808 -32.110\n -7.791 -5.656 -4.538 -3.437 -1.225\n -4.464 -1.315 1.017 2.826 4.788\n 11.658 14.753 16.937 19.784 22.960\n -50.277 -48.426 -44.306 -36.838 -32.205\n -2.261 0.430 1.576 3.021 4.891\n -61.555 -55.982 -52.873 -49.546 -47.422\n -1.099 0.987 3.336 4.158 5.492\n -30.514 -28.027 -19.463 -17.493 -15.238\n -4.960 -2.205 -0.657 0.093 1.963\n -22.313 -21.100 -19.300 -17.775 -14.070\n 13.180 14.587 15.432 16.235 17.610\n 43.706 45.547 48.664 57.703 60.348\n -35.958 -34.598 -32.559 -30.757 -28.220\n 0.585 2.544 3.809 6.333 8.152\n -21.174 -17.067 -13.233 -11.462 -10.062\n 4.744 6.491 8.320 9.596 12.014\n 21.010 25.389 27.193 28.675 32.046\n -4.445 -2.347 -1.165 0.297 5.287\n -3.211 -2.020 -0.866 1.559 5.461\n -22.358 -19.792 -18.284 -15.567 -13.306\n -19.611 -13.355 -10.097 -7.566 -4.197\n -22.919 -20.463 -17.149 -15.246 -13.693\n 3.820 8.595 13.486 14.644 16.169\n 0.008 2.368 4.198 5.811 7.859\n 3.770 5.380 6.499 8.382 11.119\n 30.663 32.731 35.728 41.839 44.791\n -15.709 -13.852 -11.495 -9.231 -2.190\n -25.747 -22.955 -18.128 -16.370 -9.595\n -27.912 -25.602 -23.404 -22.123 -18.654\n 6.189 7.502 8.851 10.111 11.378\n 4.820 7.069 11.106 14.283 17.445\n 59.022 65.410 69.542 71.902 74.754\n 16.210 17.193 17.930 18.938 20.218\n 32.172 33.769 34.661 36.142 43.128\n -16.663 -14.685 -9.562 -5.963 -1.935\n -15.128 -12.460 -10.444 -8.528 -5.183\n 0.866 3.260 4.557 6.380 9.792\n 38.172 44.340 45.880 48.536 51.821\n -39.877 -34.127 -30.842 -29.897 -27.381\n -9.618 -5.518 -3.341 -2.237 -0.710\n -41.733 -38.696 -37.553 -36.463 -34.835\n 24.080 27.922 30.107 32.547 35.231\n 5.725 9.279 13.766 15.246 18.046\n -28.192 -24.749 -21.581 -14.422 -11.674\n -4.054 -1.445 0.739 1.749 4.216\n -27.628 -25.467 -23.407 -21.807 -17.522\n 37.025 38.542 40.307 43.177 45.592\n -24.192 -21.994 -20.673 -19.387 -14.141\n 5.666 10.711 12.621 14.449 17.414\n -27.813 -25.833 -23.976 -20.968 -18.300\n 9.596 11.855 12.894 13.598 15.384\n -32.927 -30.319 -28.893 -27.648 -26.305\n -13.730 -11.730 -10.359 -8.893 -4.805\n 10.136 13.863 15.943 17.939 19.368\n 8.436 11.823 13.352 14.781 16.364\n 34.973 37.938 39.071 40.275 41.542\n -39.205 -36.198 -34.488 -32.650 -30.236\n 13.310 15.311 16.085 18.430 19.982\n -15.149 -12.794 -10.977 -8.669 -7.242\n 43.073 46.907 48.131 49.684 52.512\n -2.052 0.069 1.428 3.817 9.270\n 17.848 19.597 20.969 22.791 24.807\n -2.884 0.013 1.865 3.878 6.260\n 24.363 25.440 26.258 28.187 30.749\n -13.446 -8.388 -6.394 -4.576 -3.100\n 4.653 5.696 6.415 7.594 9.480\n -26.524 -23.529 -22.121 -20.148 -15.431\n -56.325 -49.999 -44.570 -33.852 -30.707\n -12.715 -9.445 -5.255 0.596 4.584\n -29.590 -27.550 -26.302 -24.103 -20.216\n -9.157 -5.238 -3.879 -2.420 -0.455\n -26.085 -21.231 -19.536 -16.928 -12.397\n 30.603 31.937 33.113 33.917 35.375\n -45.561 -42.634 -35.116 -32.941 -29.739\n 10.812 13.519 14.542 15.386 16.962\n -41.843 -39.934 -39.128 -37.719 -36.289\n -10.169 -7.169 -5.880 -4.529 -1.916\n -0.157 1.859 3.920 6.363 9.144\n -21.261 -20.083 -18.744 -16.951 -14.872\n 10.096 15.667 18.742 20.228 22.238\n -2.772 0.011 3.044 4.803 7.299\n 3.215 5.674 7.590 8.787 10.776\n 6.514 8.380 10.110 11.674 15.766\n -7.923 -6.081 0.841 2.252 4.102\n -50.711 -47.548 -44.313 -41.070 -37.920\n -38.494 -36.308 -34.746 -33.573 -32.193\n 28.252 30.023 33.966 38.062 43.458\n -51.285 -47.509 -42.130 -39.439 -33.811\n 17.903 22.645 23.885 26.905 28.381\n 23.296 25.224 26.484 27.672 29.217\n 34.851 37.356 38.884 39.826 42.665\n -51.357 -49.405 -48.349 -45.261 -41.972\n -26.709 -24.988 -24.023 -21.412 -18.679\n 41.367 43.136 44.053 45.330 47.899\n 19.552 23.493 25.771 27.738 30.451\n -18.219 -16.110 -11.804 -8.110 -1.455\n 0.362 3.133 4.426 5.680 8.683\n -32.885 -30.883 -29.599 -24.158 -17.681\n -11.801 -10.211 -8.305 -6.643 -3.336\n -35.408 -33.378 -30.699 -29.421 -28.183\n 6.758 7.806 8.627 9.735 11.484\n 19.954 22.135 23.085 24.728 26.168\n -1.028 3.583 6.121 10.019 12.124\n 28.787 33.024 38.330 42.200 48.205\n 3.765 7.884 11.644 14.046 20.337\n -27.679 -24.743 -22.236 -20.295 -17.595\n -29.629 -27.329 -24.626 -22.549 -20.960\n -10.172 -8.274 -6.510 -4.684 -1.018\n -14.660 -12.477 -9.255 -1.098 0.271\n -2.310 -1.182 0.635 1.703 3.030\n -31.221 -29.222 -25.921 -18.976 -12.875\n -10.703 -8.863 -6.973 -4.789 -2.255\n -41.021 -38.270 -37.031 -35.401 -33.312\n -19.917 -17.745 -16.130 -14.844 -12.651\n 34.757 36.674 37.662 38.487 39.817\n 31.651 33.329 34.386 35.326 37.598\n 0.135 2.521 3.798 5.056 8.747\n -13.966 -12.341 -10.978 -10.164 -7.032\n -33.394 -28.097 -26.433 -24.528 -22.687\n 7.073 9.037 10.675 12.300 15.499\n -29.091 -27.906 -26.768 -21.316 -15.211\n 15.714 18.374 19.094 19.902 22.187\n -1.343 0.558 3.263 5.555 7.502\n -0.629 1.125 4.354 8.292 9.368\n -44.827 -42.702 -41.501 -38.730 -34.789\n -26.907 -25.432 -24.291 -23.201 -20.927\n -3.533 -2.352 -1.490 -0.508 1.714\n 24.584 26.562 27.698 29.152 31.628\n -9.928 -7.287 -6.190 -5.114 -2.517\n -54.268 -52.646 -50.936 -49.282 -45.765\n -56.583 -54.771 -53.227 -49.187 -46.788\n 6.148 8.792 10.928 13.086 14.608\n -23.900 -20.002 -15.759 -9.946 -6.704\n -15.403 -12.337 -11.317 -10.219 -8.306\n 2.854 5.120 6.376 7.666 10.352\n -8.276 -6.529 -4.026 -2.920 -1.614\n 22.494 24.299 25.294 26.465 30.364\n -24.431 -21.660 -20.095 -18.884 -16.984\n -7.942 -5.941 -4.939 -3.868 -2.499\n -0.672 0.743 2.662 5.160 7.328\n -17.688 -16.086 -14.771 -12.704 -10.837\n -10.275 -7.062 -4.673 -1.762 0.413\n 1.228 4.219 6.012 8.959 11.914\n -44.263 -41.549 -39.601 -37.819 -33.312\n 5.393 7.914 9.682 13.998 16.720\n -23.777 -19.829 -18.553 -17.264 -14.781\n 10.901 13.485 19.032 20.559 24.226\n -29.647 -26.548 -25.263 -23.370 -20.909\n -20.770 -19.167 -18.394 -17.568 -15.884\n -9.956 -8.492 -7.018 -5.177 0.086\n 16.148 19.451 21.888 23.599 25.006\n 23.075 25.352 28.384 32.020 34.135\n -14.660 -12.671 -11.769 -10.668 -9.059\n 22.794 25.600 26.928 27.837 29.046\n 29.780 30.733 31.616 32.919 34.259\n 0.253 4.505 6.630 8.564 11.663\n 27.933 30.107 32.225 34.564 36.445\n -46.228 -44.719 -43.359 -41.159 -39.165\n 1.926 6.000 8.031 12.664 15.221\n -3.425 -0.693 1.174 3.759 5.982\n 22.814 26.496 27.901 29.458 33.778\n 56.081 58.629 60.141 61.788 63.290\n -43.696 -40.143 -34.367 -31.993 -29.741\n 18.158 20.394 22.017 27.089 29.052\n -18.977 -16.986 -15.668 -14.604 -10.427\n -7.128 -5.492 -3.972 -2.442 6.120\n -20.339 -17.337 -15.483 -11.560 -7.576\n -0.710 5.320 7.022 7.977 9.344\n 29.567 31.966 33.018 33.897 35.368\n 27.463 31.365 32.758 33.794 35.719\n -2.643 -0.093 2.412 4.186 5.926\n 9.318 13.614 14.815 15.688 18.189\n -18.590 -15.593 -13.724 -11.497 -8.426\n -21.317 -17.976 -16.876 -14.397 -12.493\n -22.417 -19.385 -15.631 -14.067 -9.959\n -1.369 1.090 4.551 6.222 8.970\n 21.646 24.347 26.483 27.993 29.395\n -15.907 -13.100 -7.848 -3.345 0.918\n -3.592 -0.913 0.915 4.096 7.545\n 38.919 44.994 46.484 47.032 48.273\n 7.167 8.820 10.336 11.796 14.620\n -14.720 -8.976 -6.482 -4.176 -1.205\n -7.216 -5.044 -3.074 -0.726 2.307\n -19.138 -17.165 -15.949 -14.766 -13.576\n -0.356 0.915 1.621 2.682 4.125\n -26.801 -24.087 -21.814 -18.866 -17.501\n -18.004 -15.963 -13.021 -11.036 -9.229\n -8.549 -3.954 1.825 6.066 10.961\n -20.691 -18.488 -16.180 -12.837 -10.657\n -14.717 -12.870 -11.918 -10.052 -8.099\n -7.249 -4.467 -1.363 1.648 3.242\n -29.274 -27.098 -22.182 -20.737 -19.301\n -30.864 -29.066 -26.674 -24.384 -20.837\n -1.352 0.608 1.906 3.193 8.766\n -7.000 -5.015 -3.258 -0.723 1.028\n -5.488 -2.175 1.160 2.746 5.426\n -8.434 -7.181 -5.837 -4.425 -1.789\n 14.563 17.363 19.267 22.401 25.787\n -17.989 -16.513 -15.189 -14.198 -10.408\n -1.762 3.714 5.135 7.078 9.083\n -28.366 -26.904 -25.045 -23.070 -19.681\n -1.305 1.058 2.339 3.806 7.474\n -2.928 -1.434 -0.499 0.354 2.366\n 25.926 27.904 29.655 30.956 33.696\n -47.342 -44.099 -39.026 -35.021 -32.654\n 7.548 10.894 12.679 14.954 17.017\n -0.417 2.361 3.959 6.593 9.341\n -19.107 -17.707 -16.880 -15.366 -13.170\n -6.405 -4.399 -2.728 -0.064 3.338\n 7.224 10.504 12.141 13.259 15.313\n -28.048 -25.644 -23.473 -22.119 -19.932\n 28.157 29.597 32.235 33.620 37.156\n -3.014 -0.737 1.027 7.374 11.989\n 8.631 10.826 12.715 14.052 16.732\n 3.482 7.481 8.881 9.994 12.761\n -6.073 -3.711 -1.364 -0.308 1.059\n -25.737 -19.423 -17.725 -16.665 -15.459\n -6.890 -5.718 -5.130 -3.787 -2.627\n 15.645 20.115 21.408 23.594 27.294\n -41.736 -39.057 -36.049 -33.046 -30.455\n -32.377 -26.155 -21.297 -17.904 -14.998\n 13.053 16.397 23.514 26.852 31.338\n 17.134 21.192 25.166 28.762 29.965\n -37.784 -31.021 -28.591 -26.586 -22.574\n -27.216 -21.119 -18.904 -15.911 -10.589\n -19.392 -16.192 -9.580 -8.633 -6.944\n 12.548 13.845 14.896 15.990 18.117\n 9.173 11.013 14.508 16.442 19.422\n 7.310 8.267 9.511 10.284 11.278\n 12.809 15.678 19.657 23.682 25.740\n -28.308 -27.016 -22.298 -20.199 -15.198\n -5.453 -2.999 -0.005 1.519 4.047\n 4.066 10.172 12.210 14.025 16.309\n 19.616 23.352 27.415 28.438 30.130\n -3.712 -2.211 -0.268 1.166 2.934\n 0.454 2.849 3.840 4.906 6.873\n -18.838 -16.508 -15.225 -13.324 -9.701\n 33.640 40.362 42.449 44.895 48.750\n -5.732 -4.664 -3.228 -1.408 2.375\n 41.639 42.831 44.264 45.994 48.157\n 19.352 24.229 25.419 26.657 27.931\n -10.327 -6.251 -4.635 -1.448 0.633\n -12.720 -3.864 -1.848 0.501 2.215\n 25.555 27.809 30.101 32.406 33.902\n -12.088 -8.628 -7.174 -4.231 -1.111\n -2.751 -0.635 0.840 1.827 3.245\n 14.490 17.203 19.181 21.011 23.577\n 18.758 24.048 26.296 31.418 34.104\n -3.113 -1.069 1.352 4.337 6.378\n 23.843 26.675 27.608 28.467 30.460\n -7.134 -0.916 0.374 1.731 3.586\n -5.044 -3.457 -2.574 -1.540 0.233\n 26.080 27.612 28.880 30.051 33.403\n 36.628 40.557 42.657 44.036 47.177\n 2.083 6.811 8.249 10.004 12.467\n 10.628 15.642 16.736 17.441 22.326\n -9.747 -6.820 -2.883 1.760 5.242\n -51.961 -47.130 -45.564 -43.424 -41.795\n -6.409 -4.175 0.446 5.102 10.852\n 4.599 7.895 16.790 19.144 21.058\n 10.778 13.609 17.453 19.904 22.373\n -10.810 -8.727 -7.361 -6.242 -4.829\n 7.527 11.177 13.289 19.229 25.481\n 24.464 25.969 26.714 28.839 30.913\n 3.130 5.096 7.097 10.872 12.350\n -25.051 -22.394 -19.718 -17.540 -15.762\n -1.530 2.861 4.495 6.446 8.344\n -8.634 -6.524 -4.604 -3.629 -2.207\n -22.380 -19.276 -17.797 -15.740 -14.483\n -20.573 -16.826 -15.636 -14.530 -12.985\n -1.363 1.984 5.769 7.051 8.113\n 18.795 20.270 20.950 21.904 23.780\n -5.951 -4.199 -3.219 -2.330 -0.922\n -2.682 -0.706 3.351 5.011 6.314\n -14.759 -12.329 -10.700 -8.650 -4.343\n -23.140 -20.416 -17.377 -15.997 -10.064\n -1.263 1.313 5.481 7.275 9.328\n 37.173 40.917 42.697 43.462 44.840\n 22.119 23.473 25.014 27.744 29.720\n 32.936 36.009 38.606 40.034 43.068\n 4.567 7.861 9.810 10.905 13.563\n -7.135 -3.781 -2.410 -0.716 0.987\n -5.805 -2.979 -0.897 0.084 2.469\n -50.106 -48.381 -44.209 -41.856 -37.200\n -31.528 -29.165 -27.692 -24.921 -22.550\n -1.576 0.709 2.895 4.473 7.892\n 25.225 26.330 27.213 27.975 29.953\n -24.932 -23.665 -20.290 -18.149 -13.186\n 24.461 33.236 34.777 37.274 38.777\n -22.224 -17.953 -16.579 -14.321 -13.093\n -8.220 -6.194 -4.962 -3.022 -0.880\n -10.195 -8.294 -5.105 -3.823 -1.773\n 24.395 26.848 31.145 33.137 36.446\n 6.875 11.392 12.778 14.216 16.276\n -4.560 -0.018 2.706 5.040 7.426\n 12.583 15.238 17.891 19.444 21.426\n -11.888 -9.320 -7.705 -6.412 -3.436\n 18.434 20.184 22.070 24.015 26.080\n -3.978 -0.857 0.545 3.909 6.825\n -0.502 3.291 8.808 15.003 19.862\n -0.808 0.813 5.385 8.258 9.796\n -14.252 -11.767 -9.751 -8.203 -6.472\n 1.446 3.806 6.800 9.930 11.706\n 7.267 10.655 11.992 14.285 21.563\n 2.008 5.275 7.253 9.054 12.334\n 13.888 16.302 22.269 25.605 28.849\n 3.789 6.276 7.880 9.946 12.229\n -26.145 -22.293 -20.522 -19.124 -17.830\n 40.976 43.266 43.880 45.033 46.844\n 6.380 8.851 10.595 12.156 13.828\n -12.111 -10.168 -8.710 -6.761 -1.233\n 45.255 49.252 56.412 59.636 62.931\n -6.957 -5.617 -4.400 -3.122 -0.830\n 1.751 3.893 4.980 6.410 8.209\n -13.353 -10.775 -9.650 -8.288 -4.773\n 11.014 17.388 19.482 22.249 24.410\n 12.584 17.810 21.179 24.677 26.788\n 5.452 9.765 11.801 12.668 13.754\n -18.313 -16.606 -15.676 -14.634 -10.748\n -7.585 -4.632 -2.441 1.572 5.741\n 1.960 10.456 12.547 14.057 15.651\n -19.353 -18.293 -17.193 -16.020 -13.948\n -25.230 -22.515 -20.577 -18.398 -16.598\n 16.535 17.763 18.386 19.534 22.397\n 7.999 11.334 12.919 14.023 15.714\n 37.919 40.199 40.865 41.848 43.899\n 2.612 4.287 5.958 7.919 11.107\n -23.583 -21.761 -21.091 -19.888 -15.755\n -51.059 -48.288 -46.289 -45.303 -42.773\n -22.212 -18.719 -16.370 -14.540 -13.726\n 4.441 5.844 8.239 10.764 14.465\n -18.032 -15.645 -13.627 -10.809 -5.368\n -5.141 -3.635 -2.712 -1.009 1.877\n 10.540 12.339 13.254 14.034 15.540\n -6.612 -5.322 -4.388 -3.399 -1.670\n -32.198 -30.479 -29.197 -26.247 -24.011\n -15.305 -13.074 -11.634 -10.516 -9.197\n -21.231 -19.855 -18.038 -16.448 -14.718\n -24.850 -22.416 -19.565 -17.070 -15.474\n -5.822 -3.663 -2.370 -1.390 2.118\n -18.345 -15.909 -12.379 -8.440 -5.488\n 2.934 4.885 5.873 7.232 8.913\n -13.856 -5.390 -2.586 -1.433 0.590\n -4.560 -2.443 1.767 4.103 8.234\n 17.762 20.242 21.732 23.296 25.624\n -2.258 -0.486 0.511 1.392 2.264\n -3.773 -0.984 1.223 5.409 7.950\n -13.624 -9.858 -7.404 -6.220 -3.240\n 14.579 16.206 18.889 20.993 24.740\n -41.227 -37.081 -36.267 -33.797 -29.695\n -7.036 -2.977 -0.532 1.940 3.424\n -17.244 -15.138 -8.287 -6.047 -3.674\n -57.143 -51.024 -49.239 -48.070 -46.440\n -13.861 -10.084 -7.833 -5.648 -2.068\n -7.176 -5.102 -2.103 -0.001 2.326\n -31.646 -29.849 -27.661 -22.878 -19.770\n -10.417 -8.385 -6.829 -5.862 -4.092\n 31.779 34.722 35.971 38.692 40.838\n -21.244 -16.756 -15.578 -14.490 -12.532\n 8.969 11.252 13.292 14.242 15.958\n 23.403 27.349 30.393 33.075 34.074\n -21.155 -16.776 -13.210 -9.625 -5.831\n -36.032 -34.008 -32.754 -31.528 -26.718\n 41.287 44.189 45.673 51.309 54.770\n -2.667 2.462 7.652 9.659 11.617\n 19.507 22.040 22.904 23.611 25.172\n -10.606 -9.364 -7.976 -6.518 -3.681\n 42.861 44.518 45.675 47.798 49.385\n -13.036 -11.540 -9.461 -7.836 -5.827\n -45.605 -43.635 -38.909 -36.852 -34.453\n -18.332 -15.809 -14.388 -13.333 -12.332\n -7.254 -3.561 0.175 0.991 2.272\n\n\nσ:\n\n Mean SD MC Error 95% HPD interval\n -------------------------------------------------------------------\n \n 32.511 2.396 0.165 [27.857, 37.342]\n\n Posterior quantiles:\n 2.5 25 50 75 97.5\n |--------------|==============|==============|--------------|\n \n 28.232 30.947 32.530 34.037 37.730\n\n", | |
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