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{
"cells": [
{
"metadata": {
"collapsed": true,
"trusted": 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": 2,
"outputs": []
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "k = 1000\nn = 100\n\nfake_data = np.random.random((n, k+1))\n\ny = (fake_data[:, 0] > 0.5).astype(int)\nX = fake_data[:, 1:]",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "y[:10]",
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "array([0, 1, 0, 0, 1, 1, 0, 0, 1, 0])"
},
"metadata": {},
"execution_count": 4
}
]
},
{
"metadata": {
"trusted": true,
"collapsed": false
},
"cell_type": "code",
"source": "X[:10]",
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "array([[ 0.99793098, 0.73438728, 0.02147011, ..., 0.20627819,\n 0.81959427, 0.24403022],\n [ 0.7374508 , 0.49828781, 0.67181405, ..., 0.63109101,\n 0.54259191, 0.8022735 ],\n [ 0.02716477, 0.20614768, 0.21883465, ..., 0.07600625,\n 0.92495336, 0.13042375],\n ..., \n [ 0.93358462, 0.82313683, 0.97760142, ..., 0.33496804,\n 0.05274658, 0.72094892],\n [ 0.70954478, 0.6490103 , 0.32285314, ..., 0.65693131,\n 0.13329869, 0.56881215],\n [ 0.39669528, 0.90033814, 0.55889899, ..., 0.86199438,\n 0.40545961, 0.4398883 ]])"
},
"metadata": {},
"execution_count": 6
}
]
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "import theano.tensor as tt\n\ninvlogit = lambda x: 1/(1 + tt.exp(-x))\n\nwith pm.Model() as logistic_model:\n \n β = pm.Normal('β', 0, sd=10000, shape=k)\n \n π = invlogit(tt.dot(X, β))\n \n likelihood = pm.Bernoulli('likelihood', π, observed=y)",
"execution_count": 7,
"outputs": []
},
{
"metadata": {
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "with logistic_model:\n tr = pm.sample(10000, step=pm.Metropolis())",
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": "100%|██████████| 10000/10000 [00:02<00:00, 3829.37it/s]\n",
"name": "stderr"
}
]
},
{
"metadata": {
"collapsed": false,
"trusted": true,
"scrolled": false
},
"cell_type": "code",
"source": "pm.summary(tr[-1000:])",
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": "\nβ:\n\n Mean SD MC Error 95% HPD interval\n -------------------------------------------------------------------\n \n 2.583 0.550 0.054 [1.485, 3.524]\n -2.456 1.195 0.119 [-4.574, -0.589]\n -0.720 0.769 0.076 [-2.245, 0.392]\n 8.132 0.823 0.081 [6.723, 9.689]\n 5.091 0.817 0.081 [2.913, 6.413]\n -2.135 1.354 0.135 [-3.995, 1.087]\n -0.036 1.366 0.136 [-1.919, 2.309]\n -0.377 0.789 0.078 [-1.655, 1.242]\n -7.791 0.499 0.049 [-8.763, -6.784]\n 1.188 0.740 0.073 [-0.454, 2.277]\n 4.248 1.820 0.182 [1.520, 7.859]\n 4.752 1.996 0.199 [1.045, 7.163]\n 5.553 0.634 0.062 [4.573, 6.856]\n -0.338 1.460 0.145 [-2.695, 1.872]\n -0.510 1.248 0.124 [-2.560, 1.705]\n -6.995 1.396 0.139 [-10.215, -4.772]\n -2.434 0.464 0.045 [-3.479, -1.568]\n 5.532 1.153 0.115 [3.535, 7.529]\n 2.709 1.571 0.157 [-0.222, 5.926]\n -11.738 0.733 0.072 [-12.884, -10.383]\n -2.980 0.969 0.096 [-4.977, -1.142]\n 7.490 1.734 0.173 [4.124, 9.443]\n 1.440 0.685 0.068 [0.058, 2.544]\n -0.249 1.224 0.122 [-2.200, 1.574]\n -1.166 0.957 0.095 [-3.419, 0.544]\n 6.705 1.211 0.121 [4.792, 8.914]\n -13.082 1.858 0.185 [-16.678, -10.944]\n -4.574 1.276 0.127 [-6.794, -2.023]\n -1.140 1.136 0.113 [-2.602, 1.225]\n -1.387 1.300 0.129 [-3.924, 0.671]\n -3.398 0.682 0.067 [-4.725, -2.255]\n 6.055 1.331 0.133 [3.937, 8.050]\n -1.926 1.159 0.115 [-3.524, 0.291]\n 0.173 1.038 0.103 [-1.481, 2.074]\n -4.849 2.513 0.251 [-8.612, -1.131]\n -1.267 1.134 0.113 [-2.874, 1.107]\n -6.397 0.774 0.077 [-7.812, -5.004]\n 11.590 0.825 0.082 [9.786, 12.624]\n -0.056 1.300 0.130 [-3.299, 1.462]\n 2.791 0.742 0.074 [1.648, 3.970]\n -1.159 0.654 0.064 [-2.327, -0.063]\n -3.698 1.247 0.124 [-6.007, -1.669]\n 0.508 0.785 0.078 [-1.064, 1.807]\n -4.361 1.058 0.105 [-6.067, -2.749]\n 3.099 0.503 0.049 [2.202, 4.121]\n 1.109 0.402 0.039 [0.214, 1.750]\n 6.027 1.053 0.105 [4.346, 7.692]\n -5.708 0.561 0.055 [-6.667, -4.683]\n -2.319 0.695 0.069 [-3.660, -1.049]\n -7.682 1.347 0.134 [-9.894, -5.714]\n -1.813 0.667 0.066 [-3.091, -0.774]\n -15.207 1.406 0.140 [-18.202, -13.021]\n -13.332 1.059 0.105 [-15.768, -11.909]\n -1.182 0.861 0.086 [-2.528, 0.229]\n 2.081 1.524 0.152 [0.052, 4.455]\n -1.352 1.508 0.150 [-3.392, 1.340]\n 7.179 1.165 0.116 [5.350, 9.275]\n -7.732 1.935 0.193 [-10.568, -5.303]\n 0.165 0.520 0.051 [-0.806, 1.117]\n -10.106 1.063 0.106 [-12.142, -7.861]\n -6.094 0.685 0.068 [-7.320, -4.849]\n 8.791 0.890 0.088 [7.363, 10.704]\n -5.375 1.291 0.128 [-7.105, -2.977]\n 1.389 1.137 0.113 [-0.561, 3.345]\n 1.032 0.902 0.090 [-0.984, 2.169]\n -4.701 1.274 0.127 [-6.667, -2.428]\n 5.677 2.089 0.208 [3.796, 10.226]\n -4.813 1.334 0.133 [-7.193, -2.867]\n 3.729 1.607 0.160 [1.714, 6.086]\n -0.744 1.375 0.137 [-2.602, 1.739]\n -5.820 1.230 0.123 [-7.793, -3.743]\n -1.642 1.179 0.117 [-3.503, 0.087]\n -0.772 1.216 0.121 [-3.430, 0.574]\n -7.525 1.474 0.147 [-9.487, -5.108]\n -2.750 1.118 0.111 [-4.962, -0.721]\n -0.771 0.793 0.078 [-2.403, 0.577]\n -0.005 0.817 0.081 [-1.326, 1.623]\n 0.678 1.779 0.178 [-2.529, 3.666]\n -2.127 0.839 0.083 [-3.817, -0.902]\n 0.532 0.938 0.093 [-1.028, 1.909]\n 5.384 0.572 0.056 [4.242, 6.382]\n -1.836 2.180 0.218 [-4.439, 2.351]\n 3.424 0.654 0.064 [2.330, 4.769]\n -2.454 1.299 0.129 [-4.201, 0.188]\n -4.356 1.903 0.190 [-7.305, -1.259]\n -14.353 0.543 0.053 [-15.346, -13.169]\n -0.170 0.733 0.072 [-1.430, 1.067]\n 8.433 0.907 0.090 [6.792, 9.972]\n 4.843 1.084 0.108 [3.145, 7.177]\n -2.983 0.970 0.096 [-4.604, -1.313]\n 1.425 1.099 0.109 [0.205, 4.384]\n 0.836 0.787 0.078 [-0.826, 1.969]\n 11.462 0.695 0.068 [10.112, 12.506]\n -3.978 0.803 0.079 [-5.393, -2.554]\n 11.579 1.445 0.144 [9.491, 13.452]\n 2.198 1.609 0.160 [-0.266, 4.717]\n 2.382 0.981 0.097 [0.810, 4.479]\n 11.601 0.415 0.040 [10.815, 12.387]\n -4.141 1.291 0.129 [-6.794, -2.047]\n 3.635 0.518 0.051 [2.808, 4.588]\n 5.262 0.520 0.051 [4.291, 6.202]\n 9.960 1.299 0.129 [8.256, 12.511]\n -3.598 0.889 0.088 [-5.053, -2.090]\n -2.992 1.019 0.101 [-4.921, -1.602]\n -6.670 0.755 0.075 [-7.755, -4.945]\n -5.064 1.382 0.138 [-7.018, -2.853]\n 4.480 0.567 0.056 [3.615, 5.651]\n -9.045 3.354 0.335 [-13.760, -3.782]\n 5.927 0.671 0.066 [4.744, 7.322]\n -5.509 2.139 0.214 [-7.567, -0.809]\n -7.414 1.477 0.147 [-9.710, -4.925]\n 0.290 0.612 0.060 [-0.859, 1.352]\n -0.675 2.660 0.266 [-4.239, 4.166]\n 1.933 0.509 0.050 [0.918, 2.851]\n -2.177 0.482 0.047 [-2.942, -1.230]\n 3.490 1.057 0.105 [1.843, 5.678]\n 5.860 1.106 0.110 [4.598, 8.173]\n -4.246 0.657 0.065 [-5.702, -3.249]\n 7.015 1.760 0.176 [2.553, 8.997]\n -1.289 0.721 0.071 [-2.344, 0.148]\n -1.926 1.223 0.122 [-4.260, -0.019]\n -2.179 0.425 0.041 [-3.043, -1.369]\n -4.714 1.204 0.120 [-7.209, -3.061]\n 5.668 0.911 0.090 [4.035, 7.451]\n 2.622 0.653 0.064 [1.611, 4.067]\n -5.892 0.559 0.055 [-6.718, -4.802]\n -3.189 1.338 0.133 [-5.689, -0.914]\n 3.059 0.993 0.099 [1.093, 4.412]\n -0.125 1.178 0.117 [-2.352, 1.558]\n -2.488 2.156 0.215 [-5.374, 1.251]\n -0.486 0.621 0.061 [-1.612, 0.830]\n 1.225 0.809 0.080 [-0.250, 2.917]\n -13.704 0.899 0.089 [-15.563, -12.475]\n 0.543 0.606 0.060 [-0.474, 1.675]\n 3.636 0.956 0.095 [2.054, 5.196]\n 4.566 1.175 0.117 [2.805, 6.441]\n 7.648 0.788 0.078 [6.481, 9.131]\n -5.838 1.813 0.181 [-9.137, -3.790]\n 1.252 0.682 0.067 [0.149, 2.425]\n 4.844 0.870 0.086 [3.500, 6.318]\n -5.638 1.110 0.110 [-7.121, -3.546]\n -0.335 0.937 0.093 [-1.908, 1.365]\n 3.498 0.890 0.088 [2.070, 5.159]\n 8.208 1.344 0.134 [5.830, 10.368]\n 5.035 1.065 0.106 [3.005, 6.783]\n -0.723 1.195 0.119 [-2.556, 1.583]\n 7.589 1.894 0.189 [5.333, 10.686]\n 9.842 1.736 0.173 [7.148, 12.568]\n 3.272 1.195 0.119 [0.566, 4.842]\n 1.875 2.150 0.215 [-1.495, 4.611]\n 6.721 0.458 0.045 [5.738, 7.562]\n 6.893 0.588 0.058 [5.786, 7.777]\n 6.223 1.525 0.152 [3.677, 8.488]\n 13.467 1.386 0.138 [11.378, 15.658]\n -5.444 1.715 0.171 [-7.484, -2.104]\n 13.601 1.585 0.158 [10.793, 15.990]\n -3.154 1.011 0.100 [-5.271, -1.340]\n -9.675 1.520 0.152 [-11.664, -6.732]\n -5.303 1.156 0.115 [-7.540, -3.858]\n -3.205 1.594 0.159 [-6.046, -0.166]\n 4.212 1.294 0.129 [2.323, 6.569]\n 5.166 0.555 0.054 [3.986, 6.129]\n 4.144 0.592 0.058 [3.106, 5.067]\n 6.752 0.507 0.049 [5.900, 7.731]\n -7.122 1.469 0.146 [-10.216, -4.465]\n -8.757 1.262 0.126 [-10.662, -6.196]\n -1.254 1.780 0.178 [-2.938, 3.100]\n 1.168 1.351 0.135 [-0.438, 4.015]\n 3.695 1.301 0.130 [1.409, 5.805]\n 2.429 0.954 0.095 [0.996, 4.623]\n -9.520 1.202 0.120 [-11.518, -7.183]\n -4.175 1.406 0.140 [-6.404, -1.993]\n 7.830 1.292 0.129 [5.127, 9.669]\n 3.077 1.611 0.161 [0.640, 5.583]\n 4.102 0.905 0.090 [2.838, 5.587]\n -10.138 1.552 0.155 [-12.466, -7.470]\n 5.318 1.089 0.108 [2.873, 6.878]\n -0.615 1.523 0.152 [-3.289, 2.387]\n -1.539 0.921 0.091 [-2.862, 0.729]\n 4.230 0.542 0.053 [2.891, 5.067]\n 5.555 0.700 0.069 [4.292, 6.881]\n -5.690 0.961 0.096 [-7.710, -3.878]\n -1.630 0.879 0.087 [-3.116, -0.127]\n 3.200 1.054 0.105 [1.361, 5.197]\n -3.992 0.745 0.074 [-5.235, -2.642]\n -2.514 0.996 0.099 [-4.503, -0.971]\n 2.356 0.605 0.059 [1.240, 3.439]\n 3.045 1.257 0.125 [1.396, 5.105]\n 4.499 1.343 0.134 [2.690, 6.905]\n 1.466 0.573 0.056 [0.377, 2.560]\n 9.164 0.845 0.084 [7.769, 10.746]\n -3.756 1.624 0.162 [-6.389, -1.011]\n 1.586 1.019 0.101 [-0.440, 3.226]\n 1.042 0.817 0.081 [-0.163, 2.746]\n -3.762 1.175 0.117 [-5.729, -2.144]\n 1.736 0.907 0.090 [0.471, 3.498]\n -6.072 1.923 0.192 [-9.441, -2.613]\n -1.634 0.800 0.079 [-3.197, -0.441]\n -0.497 0.551 0.054 [-1.595, 0.560]\n 2.506 0.727 0.072 [1.028, 3.739]\n 2.970 0.666 0.066 [1.845, 4.527]\n -0.959 0.533 0.052 [-2.333, -0.177]\n -6.753 1.887 0.188 [-10.786, -4.549]\n -0.619 0.785 0.078 [-1.981, 0.529]\n 9.083 1.276 0.127 [7.550, 12.085]\n -3.220 0.477 0.046 [-4.300, -2.465]\n 9.165 0.953 0.095 [7.600, 10.818]\n -10.683 1.241 0.124 [-12.756, -9.120]\n 2.414 0.832 0.082 [0.884, 3.825]\n -3.232 0.716 0.071 [-4.548, -1.920]\n 7.147 1.097 0.109 [5.421, 9.211]\n -10.548 1.769 0.176 [-12.921, -7.215]\n 4.965 0.906 0.090 [3.168, 6.401]\n 3.735 0.880 0.087 [2.622, 5.674]\n 2.845 1.651 0.165 [0.131, 5.535]\n 20.466 0.872 0.086 [19.102, 22.229]\n 3.677 0.581 0.057 [2.537, 4.854]\n -2.020 1.055 0.105 [-3.586, -0.279]\n -4.730 1.300 0.130 [-7.239, -3.146]\n 9.698 2.095 0.209 [6.660, 12.355]\n -1.676 1.020 0.101 [-3.446, -0.247]\n -7.815 0.826 0.082 [-9.250, -6.151]\n -0.940 0.762 0.076 [-2.385, 0.337]\n 3.953 0.518 0.051 [3.032, 5.101]\n -3.025 0.658 0.065 [-4.091, -1.839]\n -1.002 0.964 0.096 [-2.754, 0.157]\n 12.259 1.374 0.137 [10.115, 14.580]\n 5.757 1.470 0.147 [3.954, 8.963]\n 14.039 0.363 0.035 [13.344, 14.708]\n -1.975 1.041 0.104 [-4.231, -0.523]\n 1.958 0.467 0.045 [1.121, 2.844]\n -5.635 0.545 0.053 [-6.665, -4.538]\n -4.290 1.153 0.115 [-5.732, -1.823]\n 3.720 1.102 0.110 [0.904, 5.012]\n -0.950 1.089 0.108 [-2.488, 1.275]\n 0.997 0.676 0.067 [0.006, 2.450]\n 3.057 0.768 0.076 [1.652, 4.302]\n 7.931 0.741 0.073 [6.451, 8.982]\n -2.732 0.954 0.095 [-4.819, -1.553]\n -0.926 0.576 0.057 [-2.203, 0.118]\n 2.321 0.981 0.097 [0.911, 4.740]\n 3.751 0.716 0.071 [2.510, 4.918]\n 4.907 0.754 0.075 [3.672, 6.424]\n -4.813 0.540 0.053 [-5.913, -3.782]\n -1.099 0.672 0.066 [-2.479, -0.075]\n 3.337 1.544 0.154 [0.098, 5.073]\n 2.029 1.102 0.109 [0.537, 4.677]\n 5.087 1.177 0.117 [3.228, 6.750]\n -5.288 0.868 0.086 [-7.198, -3.391]\n 8.034 0.779 0.077 [6.824, 9.487]\n 7.881 2.523 0.252 [3.954, 11.490]\n 5.738 0.544 0.053 [4.778, 6.711]\n 5.175 0.531 0.052 [4.256, 6.000]\n 3.366 1.048 0.104 [1.614, 4.981]\n -4.745 0.677 0.067 [-5.888, -3.593]\n -5.773 0.618 0.061 [-7.028, -4.646]\n -0.376 0.656 0.065 [-1.784, 0.605]\n -1.070 1.637 0.163 [-3.241, 1.510]\n -9.854 1.885 0.188 [-13.090, -6.447]\n -2.470 0.414 0.040 [-3.155, -1.734]\n 3.089 0.738 0.073 [1.790, 4.450]\n -7.593 0.949 0.094 [-9.588, -6.021]\n -3.862 1.372 0.137 [-6.737, -2.177]\n -0.910 0.735 0.073 [-2.095, 0.223]\n -1.018 0.725 0.072 [-2.288, 0.336]\n 0.853 0.858 0.085 [-0.670, 2.355]\n 1.478 1.000 0.099 [-0.354, 2.991]\n 2.067 0.934 0.093 [0.496, 3.734]\n -1.282 1.088 0.108 [-3.517, 0.094]\n -1.276 2.004 0.200 [-4.274, 1.464]\n -5.149 0.805 0.080 [-6.310, -3.485]\n 7.114 1.270 0.127 [4.762, 9.066]\n -9.835 1.153 0.115 [-11.936, -7.900]\n -5.006 0.880 0.087 [-6.666, -3.450]\n -1.971 0.841 0.083 [-3.450, -0.292]\n -0.043 0.857 0.085 [-1.280, 1.657]\n 6.231 0.867 0.086 [4.803, 7.902]\n -2.891 1.766 0.176 [-5.418, 0.069]\n -1.430 0.398 0.038 [-2.087, -0.642]\n 4.292 0.813 0.080 [2.765, 5.550]\n 3.399 1.070 0.106 [1.363, 5.078]\n -7.852 0.979 0.097 [-9.273, -5.819]\n -10.829 0.608 0.060 [-11.797, -9.751]\n -4.732 1.197 0.119 [-6.675, -2.748]\n 1.736 1.040 0.103 [0.161, 3.530]\n 0.187 1.710 0.171 [-1.970, 3.505]\n -4.324 1.174 0.117 [-6.238, -2.342]\n 0.691 1.276 0.127 [-2.084, 2.151]\n 4.394 0.676 0.067 [3.079, 5.694]\n 0.416 1.227 0.122 [-1.410, 2.801]\n -8.822 1.073 0.107 [-10.803, -7.154]\n -0.924 0.918 0.091 [-2.402, 0.477]\n 6.123 0.600 0.059 [5.146, 7.246]\n -5.051 1.250 0.124 [-6.341, -1.809]\n -2.252 0.770 0.076 [-3.671, -0.894]\n -4.515 0.536 0.052 [-5.483, -3.601]\n 9.647 0.873 0.087 [7.669, 10.914]\n 0.500 1.557 0.155 [-1.472, 3.166]\n 1.503 1.733 0.173 [-1.103, 4.398]\n -3.811 0.791 0.078 [-5.394, -2.314]\n -1.262 0.850 0.084 [-2.766, 0.319]\n -3.121 0.535 0.053 [-4.090, -2.143]\n 2.927 0.709 0.070 [1.419, 4.320]\n -0.906 0.782 0.077 [-2.293, 0.279]\n -0.678 1.732 0.173 [-3.436, 1.990]\n 2.714 0.786 0.078 [1.104, 3.869]\n 4.115 0.649 0.064 [2.956, 5.163]\n -4.821 1.181 0.118 [-6.869, -2.822]\n -2.071 1.503 0.150 [-5.746, 0.242]\n -1.806 1.264 0.126 [-3.520, 0.816]\n 4.100 1.848 0.184 [1.582, 7.310]\n -0.263 0.889 0.088 [-2.122, 1.146]\n 12.029 0.682 0.067 [10.988, 13.217]\n -2.907 0.861 0.085 [-4.796, -1.577]\n -6.580 0.923 0.091 [-8.420, -4.896]\n -1.238 0.687 0.068 [-2.457, 0.091]\n -9.218 1.685 0.168 [-11.822, -6.091]\n 7.329 1.311 0.131 [5.823, 10.064]\n -0.157 0.484 0.047 [-1.144, 0.596]\n 1.383 0.806 0.080 [-0.071, 3.195]\n 3.841 0.767 0.076 [2.485, 5.075]\n -3.374 1.458 0.145 [-5.744, -0.234]\n -4.939 0.855 0.085 [-6.174, -3.195]\n 6.228 0.840 0.083 [4.952, 7.613]\n -1.926 1.273 0.127 [-4.231, -0.267]\n -0.725 2.023 0.202 [-3.698, 2.606]\n -10.419 1.767 0.176 [-13.233, -7.631]\n -7.195 1.410 0.141 [-9.240, -4.791]\n 5.827 0.802 0.079 [4.169, 6.967]\n -4.130 1.204 0.120 [-6.187, -2.004]\n 6.282 1.782 0.178 [2.949, 9.453]\n 3.145 1.458 0.145 [0.300, 5.586]\n -4.440 1.580 0.158 [-7.112, -2.140]\n -1.338 1.062 0.106 [-3.709, -0.059]\n -1.860 0.560 0.055 [-2.941, -0.722]\n 1.508 1.721 0.172 [-2.131, 3.819]\n 9.058 0.650 0.064 [7.781, 10.332]\n -0.661 1.162 0.116 [-2.841, 1.060]\n -2.533 1.182 0.118 [-3.998, -0.131]\n 3.884 0.677 0.066 [2.613, 4.977]\n 2.137 0.879 0.087 [0.770, 3.768]\n -4.493 1.026 0.102 [-6.536, -2.930]\n -2.218 0.714 0.071 [-3.416, -0.973]\n -1.403 0.596 0.059 [-2.326, -0.309]\n 7.072 1.444 0.144 [4.095, 8.771]\n 3.796 0.535 0.052 [2.781, 4.917]\n -2.456 0.730 0.072 [-3.632, -0.900]\n 4.657 1.405 0.140 [2.477, 7.714]\n -2.449 1.342 0.134 [-4.645, 0.171]\n -4.554 1.685 0.168 [-7.297, -2.260]\n -12.748 0.852 0.085 [-14.048, -11.113]\n -2.728 1.807 0.180 [-4.763, 0.043]\n 11.228 1.029 0.102 [9.481, 12.910]\n -0.781 1.112 0.111 [-2.318, 1.406]\n 4.231 0.784 0.078 [2.706, 5.842]\n -0.045 0.843 0.084 [-1.377, 1.373]\n -3.285 0.736 0.073 [-4.614, -1.980]\n -11.722 0.992 0.098 [-13.298, -9.727]\n -8.138 1.500 0.150 [-10.063, -5.456]\n 4.076 1.396 0.139 [0.398, 6.064]\n 8.806 1.248 0.124 [6.861, 11.098]\n 7.016 0.989 0.098 [4.951, 8.474]\n -5.844 1.169 0.116 [-7.732, -3.643]\n -4.534 0.760 0.075 [-6.090, -3.123]\n -2.918 1.309 0.130 [-4.765, -0.817]\n 0.658 0.693 0.068 [-0.608, 1.773]\n -2.091 1.587 0.158 [-5.071, 0.004]\n -3.781 1.361 0.136 [-6.479, -1.518]\n -9.076 1.294 0.129 [-10.818, -6.339]\n 6.598 1.264 0.126 [3.936, 8.201]\n -0.124 1.247 0.124 [-2.028, 2.051]\n -8.970 0.682 0.067 [-10.248, -7.912]\n -7.820 1.886 0.188 [-11.039, -5.563]\n -9.493 0.599 0.059 [-10.852, -8.557]\n 2.991 0.517 0.050 [2.076, 3.959]\n 4.209 1.248 0.124 [2.389, 6.303]\n 2.697 0.682 0.067 [1.520, 3.856]\n 0.559 1.365 0.136 [-1.852, 2.541]\n -13.081 0.886 0.088 [-14.775, -11.693]\n 4.338 1.155 0.115 [2.597, 6.145]\n -0.771 0.730 0.072 [-2.086, 0.691]\n -8.521 0.563 0.055 [-9.551, -7.371]\n 3.237 1.513 0.151 [-0.039, 5.175]\n 10.025 0.508 0.050 [8.971, 10.990]\n 1.439 1.621 0.162 [-0.924, 3.913]\n 3.339 1.151 0.115 [1.403, 5.139]\n -1.577 0.707 0.070 [-2.929, -0.508]\n 0.875 0.889 0.088 [-0.533, 2.303]\n -7.439 0.641 0.063 [-8.559, -6.513]\n -4.162 0.788 0.078 [-5.577, -2.845]\n -11.103 1.002 0.099 [-12.416, -8.695]\n -10.417 1.155 0.115 [-12.006, -7.875]\n -8.051 1.135 0.113 [-9.751, -5.801]\n -1.898 1.041 0.104 [-3.899, -0.197]\n 5.915 0.581 0.057 [4.636, 6.834]\n -0.591 0.885 0.088 [-1.762, 1.117]\n 6.993 1.132 0.113 [5.027, 8.975]\n -3.362 0.815 0.081 [-4.644, -1.785]\n -3.319 2.303 0.230 [-6.310, 1.114]\n 5.026 0.813 0.081 [3.658, 6.666]\n 8.852 1.808 0.180 [6.472, 11.616]\n -1.650 0.993 0.099 [-3.405, -0.143]\n 8.109 0.842 0.084 [6.532, 9.749]\n -6.817 0.774 0.077 [-8.261, -5.407]\n -7.808 0.684 0.068 [-9.096, -6.536]\n 3.521 0.582 0.057 [2.312, 4.420]\n -5.809 0.631 0.062 [-6.680, -4.398]\n -7.903 2.047 0.204 [-10.555, -4.246]\n 4.211 0.822 0.081 [2.899, 5.709]\n 4.227 0.646 0.064 [3.178, 5.565]\n 6.657 1.453 0.145 [4.528, 9.020]\n -0.094 1.493 0.149 [-3.097, 2.088]\n 1.013 0.805 0.080 [-0.399, 2.408]\n -4.613 0.697 0.069 [-6.063, -3.386]\n 5.799 0.679 0.067 [4.379, 6.818]\n -3.258 0.692 0.068 [-4.515, -1.953]\n 1.792 0.781 0.077 [0.356, 3.095]\n 2.777 0.937 0.093 [0.994, 4.254]\n -9.271 1.747 0.174 [-12.009, -6.407]\n -0.028 1.027 0.102 [-1.708, 2.066]\n -8.791 1.403 0.140 [-10.916, -6.774]\n -1.758 0.696 0.069 [-2.855, -0.227]\n 3.564 0.521 0.051 [2.703, 4.500]\n -1.071 1.102 0.110 [-2.903, 0.976]\n -3.705 0.689 0.068 [-5.138, -2.557]\n -2.570 0.690 0.068 [-3.825, -1.087]\n -5.089 1.899 0.190 [-8.220, -1.748]\n -8.014 1.030 0.102 [-10.102, -6.312]\n 1.370 0.595 0.059 [0.113, 2.422]\n 4.752 1.019 0.101 [3.383, 6.684]\n 5.504 0.743 0.073 [4.044, 6.742]\n 3.319 0.758 0.075 [2.156, 4.864]\n -3.897 0.856 0.085 [-5.418, -2.019]\n -8.876 1.553 0.155 [-11.759, -6.484]\n 10.999 1.032 0.103 [9.407, 12.744]\n 0.365 0.610 0.060 [-0.870, 1.539]\n 2.694 0.628 0.062 [1.444, 3.888]\n 2.071 0.904 0.090 [0.110, 3.445]\n 4.431 0.522 0.051 [3.408, 5.425]\n -0.455 0.875 0.087 [-2.438, 0.731]\n -7.333 1.020 0.101 [-9.441, -5.862]\n -0.943 1.755 0.175 [-4.965, 0.818]\n -1.109 0.790 0.078 [-2.519, 0.298]\n 2.051 0.966 0.096 [0.687, 3.633]\n -5.373 0.889 0.088 [-6.786, -3.745]\n -0.365 1.148 0.114 [-1.934, 1.895]\n -11.548 0.833 0.083 [-13.026, -10.170]\n -5.719 0.598 0.059 [-7.034, -4.782]\n -1.938 1.721 0.172 [-5.791, 0.582]\n 12.691 0.793 0.078 [11.193, 14.056]\n 4.896 0.871 0.086 [3.308, 6.259]\n 3.570 0.780 0.077 [2.071, 4.792]\n 1.913 1.176 0.117 [0.443, 4.127]\n 5.538 1.397 0.139 [3.662, 8.404]\n 10.456 0.731 0.072 [9.183, 11.708]\n -1.853 0.701 0.069 [-2.908, -0.317]\n 3.751 1.095 0.109 [1.703, 5.538]\n -10.418 0.536 0.052 [-11.376, -9.354]\n -1.081 0.595 0.059 [-2.275, 0.069]\n -0.527 0.655 0.065 [-1.849, 0.669]\n -6.597 1.503 0.150 [-8.744, -3.743]\n -3.978 0.804 0.079 [-5.326, -2.586]\n 10.838 0.884 0.088 [9.372, 12.660]\n 5.050 0.919 0.091 [3.407, 6.503]\n -1.123 1.407 0.140 [-3.402, 1.364]\n 5.747 0.976 0.097 [4.245, 7.275]\n -4.435 0.890 0.088 [-5.917, -2.944]\n 0.054 0.891 0.088 [-1.953, 1.299]\n 5.806 1.065 0.106 [4.175, 7.918]\n -0.168 1.634 0.163 [-3.279, 2.566]\n 3.135 2.532 0.253 [-0.406, 6.370]\n -4.720 0.424 0.041 [-5.449, -3.841]\n 4.350 0.759 0.075 [2.667, 5.376]\n -4.898 2.102 0.210 [-7.515, -0.710]\n 1.540 1.434 0.143 [-0.812, 3.479]\n -1.046 1.063 0.106 [-2.472, 1.164]\n 3.241 1.158 0.115 [1.013, 4.924]\n -3.241 0.769 0.076 [-4.644, -2.075]\n 4.710 0.681 0.067 [3.395, 5.777]\n 2.473 1.124 0.112 [0.027, 4.314]\n 4.228 1.422 0.142 [1.748, 6.429]\n -0.086 1.612 0.161 [-3.017, 1.831]\n -1.243 0.731 0.072 [-2.362, 0.018]\n -0.919 0.484 0.047 [-1.834, 0.016]\n 1.019 0.389 0.037 [0.240, 1.722]\n 0.726 0.866 0.086 [-0.901, 2.027]\n 10.767 0.402 0.039 [9.919, 11.428]\n 8.571 1.192 0.119 [6.529, 10.435]\n -11.078 1.144 0.114 [-13.390, -9.246]\n 6.589 0.848 0.084 [5.260, 8.336]\n 3.591 1.144 0.114 [1.340, 5.059]\n -15.269 1.111 0.110 [-17.550, -13.794]\n -3.157 1.161 0.116 [-5.459, -1.776]\n 0.774 0.891 0.088 [-0.414, 2.821]\n -2.728 0.729 0.072 [-3.882, -1.292]\n -1.741 0.907 0.090 [-3.137, 0.092]\n -5.092 0.770 0.076 [-6.662, -3.886]\n -3.722 1.811 0.181 [-6.762, -1.490]\n 6.499 0.943 0.094 [4.494, 7.719]\n 16.839 0.875 0.087 [15.261, 18.050]\n 1.478 0.574 0.056 [0.294, 2.455]\n -8.904 0.550 0.054 [-9.822, -7.734]\n -5.398 0.549 0.054 [-6.377, -4.385]\n -1.502 1.326 0.132 [-3.577, 0.399]\n -0.217 1.103 0.110 [-1.735, 1.984]\n 5.861 0.701 0.069 [4.754, 7.143]\n -1.448 1.605 0.160 [-3.318, 1.849]\n 3.065 2.248 0.225 [0.042, 7.577]\n -10.330 1.487 0.148 [-12.859, -7.513]\n 1.150 1.156 0.115 [-1.309, 2.885]\n -0.254 0.800 0.079 [-1.565, 1.078]\n 9.000 0.595 0.058 [8.083, 10.504]\n -4.335 2.337 0.233 [-8.484, -0.457]\n 3.799 0.862 0.085 [2.349, 5.279]\n -8.040 1.278 0.127 [-10.550, -6.132]\n 3.116 0.589 0.058 [2.028, 4.378]\n -0.439 1.005 0.100 [-2.186, 1.753]\n -3.636 1.339 0.133 [-6.363, -1.689]\n -2.036 2.008 0.201 [-4.081, 1.810]\n 5.508 0.798 0.079 [3.627, 6.771]\n -1.407 1.578 0.157 [-4.136, 1.155]\n 3.870 1.583 0.158 [1.961, 7.629]\n 4.483 1.218 0.121 [2.681, 6.727]\n -1.152 1.427 0.142 [-3.478, 1.029]\n 6.101 0.470 0.046 [5.310, 7.108]\n 0.393 0.922 0.091 [-1.466, 1.958]\n 3.995 1.134 0.113 [1.702, 5.701]\n 1.580 0.735 0.072 [0.478, 3.338]\n 3.253 1.188 0.118 [1.087, 5.004]\n -0.587 0.860 0.085 [-2.103, 0.844]\n 0.725 0.747 0.074 [-1.051, 1.756]\n 2.970 0.694 0.068 [2.111, 4.776]\n 7.386 1.404 0.140 [5.180, 9.502]\n 1.150 0.642 0.063 [0.065, 2.415]\n 6.113 0.528 0.052 [5.318, 7.103]\n -6.730 1.071 0.106 [-8.573, -4.718]\n -9.719 1.306 0.130 [-12.028, -7.287]\n 5.995 1.220 0.122 [4.010, 8.304]\n -2.547 0.812 0.080 [-3.827, -1.259]\n -2.799 0.589 0.058 [-3.774, -1.580]\n 6.303 1.011 0.100 [4.487, 8.537]\n 6.657 0.892 0.088 [5.140, 8.271]\n -4.227 0.863 0.086 [-5.590, -2.560]\n 0.143 0.959 0.095 [-1.809, 1.634]\n -5.502 0.549 0.054 [-6.392, -4.278]\n 1.354 1.070 0.106 [-0.514, 3.016]\n 6.096 0.553 0.054 [5.155, 7.173]\n 8.570 0.817 0.081 [7.302, 10.130]\n 7.326 0.667 0.066 [5.883, 8.343]\n -7.327 0.723 0.072 [-8.721, -5.925]\n -2.253 1.078 0.107 [-4.038, -0.365]\n 4.094 0.994 0.099 [2.470, 6.216]\n -2.486 0.902 0.090 [-4.169, -1.212]\n -1.223 1.043 0.104 [-2.781, 0.796]\n -4.853 1.529 0.152 [-8.229, -2.814]\n 1.952 0.810 0.080 [0.419, 3.324]\n 8.622 0.613 0.060 [7.701, 9.882]\n -5.176 2.184 0.218 [-8.411, -2.316]\n 9.073 0.656 0.065 [7.521, 10.099]\n 4.166 0.887 0.088 [2.918, 6.091]\n 5.202 1.282 0.128 [3.886, 7.736]\n 2.989 1.027 0.102 [0.688, 4.563]\n -1.111 0.908 0.090 [-2.838, 0.608]\n -4.202 0.866 0.086 [-5.846, -2.905]\n -9.288 1.822 0.182 [-11.288, -5.468]\n -7.599 0.845 0.084 [-9.000, -5.748]\n -5.062 0.633 0.062 [-6.046, -3.924]\n 4.203 1.492 0.149 [1.601, 6.498]\n 4.242 1.306 0.130 [1.958, 6.221]\n -9.471 1.120 0.111 [-11.011, -7.403]\n -4.649 1.043 0.104 [-6.892, -3.215]\n -6.104 2.052 0.205 [-10.684, -3.770]\n 0.784 0.663 0.065 [-0.362, 2.095]\n 10.043 0.862 0.086 [8.974, 11.798]\n 4.001 1.770 0.177 [1.372, 6.761]\n 2.254 0.991 0.098 [0.164, 3.763]\n -1.801 0.588 0.058 [-2.729, -0.568]\n -3.975 0.889 0.088 [-5.444, -2.125]\n -3.024 0.630 0.062 [-4.265, -1.736]\n -2.387 0.537 0.053 [-3.223, -1.143]\n 0.387 0.839 0.083 [-0.990, 2.136]\n -2.437 0.887 0.088 [-4.100, -0.957]\n 0.893 0.882 0.088 [-0.776, 2.498]\n 8.194 1.306 0.130 [6.040, 10.631]\n 2.274 0.873 0.087 [0.558, 3.879]\n 3.126 0.729 0.072 [1.610, 4.306]\n 8.017 0.616 0.060 [6.745, 9.212]\n -1.447 1.540 0.153 [-4.043, 0.438]\n 2.845 1.319 0.131 [0.353, 4.921]\n 4.884 1.137 0.113 [3.016, 7.284]\n -0.354 0.726 0.072 [-1.620, 1.031]\n -2.888 1.177 0.117 [-4.790, -0.808]\n 7.054 1.066 0.106 [5.420, 8.874]\n 4.356 1.099 0.109 [2.386, 6.090]\n -2.308 1.159 0.115 [-4.281, -0.703]\n 4.964 0.742 0.073 [3.777, 6.512]\n -0.402 1.010 0.100 [-1.986, 1.205]\n 0.421 0.667 0.066 [-0.750, 1.492]\n 10.310 0.737 0.073 [9.029, 11.652]\n -15.597 0.704 0.070 [-17.171, -14.659]\n -4.370 1.532 0.153 [-6.267, -1.828]\n 1.920 1.159 0.115 [0.303, 4.273]\n 7.641 1.008 0.100 [5.942, 9.662]\n -0.429 0.648 0.064 [-1.891, 0.471]\n 0.035 1.077 0.107 [-2.377, 1.669]\n -0.862 0.783 0.077 [-2.282, 0.878]\n 2.720 0.959 0.095 [1.573, 4.707]\n 2.401 0.898 0.089 [1.238, 4.186]\n -4.080 0.987 0.098 [-6.135, -2.826]\n 0.900 0.641 0.063 [-0.238, 2.165]\n 0.713 0.561 0.055 [-0.491, 1.686]\n -7.033 0.639 0.063 [-8.179, -5.717]\n -8.190 0.999 0.099 [-9.884, -6.756]\n -2.763 0.494 0.048 [-3.785, -1.964]\n -0.863 2.762 0.276 [-5.249, 2.825]\n 2.268 0.693 0.068 [1.116, 3.802]\n 7.093 0.716 0.071 [5.914, 8.223]\n -2.926 0.694 0.068 [-4.208, -1.736]\n -5.217 0.560 0.055 [-6.275, -4.292]\n -1.989 0.528 0.052 [-2.871, -1.092]\n 3.737 0.881 0.087 [2.354, 5.396]\n 7.391 1.354 0.135 [5.013, 10.143]\n -3.593 0.703 0.069 [-4.738, -2.358]\n 3.604 1.024 0.102 [1.700, 5.001]\n -3.609 1.757 0.175 [-5.931, -0.608]\n -1.293 1.800 0.180 [-4.443, 1.219]\n 9.960 1.075 0.107 [7.903, 11.539]\n 1.539 1.372 0.137 [-0.787, 3.469]\n -6.887 0.813 0.080 [-8.440, -5.574]\n -0.779 1.223 0.122 [-2.977, 1.822]\n -2.479 0.530 0.052 [-3.363, -1.506]\n -3.113 0.872 0.086 [-4.889, -1.782]\n -5.091 0.752 0.074 [-6.437, -3.725]\n -1.294 0.583 0.057 [-2.589, -0.470]\n -1.483 1.105 0.110 [-3.779, 0.290]\n -5.795 0.676 0.067 [-6.961, -4.592]\n 5.348 0.894 0.089 [3.603, 6.908]\n -1.521 0.643 0.063 [-2.828, -0.315]\n 2.053 1.043 0.104 [-0.177, 3.586]\n 0.706 1.068 0.106 [-0.993, 2.392]\n 5.685 1.174 0.117 [3.122, 7.350]\n 2.052 0.748 0.074 [0.905, 3.419]\n 0.038 0.856 0.085 [-2.051, 1.301]\n -5.248 1.486 0.148 [-7.690, -2.666]\n 11.619 0.494 0.048 [10.724, 12.547]\n 2.378 0.566 0.055 [1.207, 3.336]\n 5.056 0.708 0.070 [3.492, 6.138]\n -5.073 0.561 0.055 [-6.425, -4.231]\n 10.578 1.317 0.131 [8.771, 12.981]\n 4.560 1.104 0.110 [2.517, 6.315]\n -5.174 0.426 0.041 [-5.966, -4.273]\n -4.312 1.510 0.151 [-6.447, -1.556]\n -2.943 1.507 0.150 [-5.945, -0.941]\n 2.126 1.518 0.151 [-0.986, 4.673]\n 7.243 0.670 0.066 [5.569, 8.098]\n 0.340 0.650 0.064 [-0.694, 1.457]\n 0.153 0.557 0.055 [-0.800, 1.242]\n -4.798 0.642 0.063 [-5.714, -3.295]\n 0.168 1.537 0.153 [-2.520, 2.601]\n 2.323 0.868 0.086 [0.688, 3.596]\n 8.335 1.225 0.122 [6.225, 10.236]\n -2.511 1.612 0.161 [-5.560, 0.011]\n -5.127 1.193 0.119 [-7.731, -3.401]\n -11.954 1.261 0.126 [-14.693, -10.321]\n -6.626 1.113 0.111 [-8.670, -4.475]\n -1.070 0.533 0.052 [-1.946, 0.041]\n 3.450 0.645 0.063 [2.035, 4.609]\n 2.453 1.315 0.131 [-0.057, 4.346]\n 2.648 0.698 0.069 [1.400, 3.824]\n 1.255 0.707 0.070 [-0.042, 2.533]\n 5.121 1.928 0.192 [2.050, 7.496]\n 3.503 1.106 0.110 [1.585, 5.409]\n -2.188 0.844 0.084 [-3.421, -0.367]\n -5.054 1.770 0.177 [-7.559, -2.258]\n -3.547 1.150 0.114 [-5.358, -1.422]\n -0.399 1.409 0.141 [-2.595, 2.008]\n 2.600 2.248 0.225 [-1.003, 5.908]\n 0.150 1.605 0.160 [-2.633, 2.612]\n -3.034 0.688 0.068 [-4.369, -1.842]\n -6.410 0.599 0.059 [-7.519, -5.409]\n -4.044 0.854 0.085 [-5.420, -2.676]\n 1.988 0.490 0.048 [1.018, 2.826]\n -2.373 1.027 0.102 [-3.707, -0.253]\n 5.184 2.621 0.262 [0.559, 8.681]\n -9.101 0.973 0.097 [-10.684, -7.233]\n 5.961 0.934 0.093 [4.542, 7.708]\n -5.136 0.731 0.072 [-6.547, -3.706]\n -1.419 0.997 0.099 [-2.922, 0.454]\n 1.841 0.600 0.059 [0.469, 2.887]\n 6.531 0.661 0.065 [5.217, 7.392]\n 4.005 0.465 0.045 [3.243, 4.892]\n 4.882 1.614 0.161 [1.690, 7.172]\n -4.419 1.215 0.121 [-7.137, -2.757]\n 6.567 0.751 0.074 [5.111, 7.612]\n -8.239 1.039 0.103 [-9.754, -5.849]\n -12.730 1.373 0.137 [-14.856, -10.647]\n -11.126 0.844 0.084 [-12.409, -9.392]\n 0.088 1.540 0.154 [-2.801, 1.947]\n -5.190 2.060 0.206 [-8.453, -2.579]\n -5.337 1.285 0.128 [-7.636, -3.600]\n -3.954 2.222 0.222 [-8.422, -1.453]\n -2.771 0.892 0.089 [-4.411, -1.499]\n -0.726 1.531 0.153 [-3.472, 1.374]\n 2.132 1.310 0.130 [0.336, 5.714]\n -5.352 1.237 0.123 [-7.187, -2.575]\n -0.732 1.055 0.105 [-3.064, 0.573]\n 14.757 0.860 0.085 [13.367, 16.162]\n -3.020 0.531 0.052 [-3.965, -2.093]\n -0.175 1.101 0.110 [-2.064, 1.420]\n -3.030 0.697 0.069 [-4.373, -1.956]\n 1.785 1.559 0.155 [-0.588, 4.400]\n 4.340 1.012 0.101 [2.361, 5.721]\n 7.035 0.645 0.064 [5.831, 8.201]\n 0.399 1.407 0.140 [-1.868, 2.770]\n 0.886 1.506 0.150 [-2.552, 3.167]\n -2.002 0.836 0.083 [-3.639, -0.396]\n -6.432 1.734 0.173 [-8.958, -3.369]\n -0.927 1.693 0.169 [-3.451, 1.628]\n 1.688 1.062 0.105 [0.018, 3.640]\n -10.084 1.181 0.118 [-12.076, -8.151]\n -5.935 0.995 0.099 [-7.621, -4.163]\n 5.628 2.397 0.239 [0.424, 8.073]\n -6.517 0.707 0.070 [-7.859, -5.209]\n -13.485 1.478 0.147 [-15.894, -10.192]\n 8.037 0.737 0.073 [6.859, 9.273]\n 5.383 1.136 0.113 [3.186, 7.053]\n -0.999 0.712 0.070 [-2.262, 0.395]\n -5.854 0.801 0.079 [-7.105, -4.169]\n -8.387 0.698 0.069 [-9.531, -7.228]\n 8.084 0.744 0.074 [6.791, 9.441]\n -3.011 0.907 0.090 [-4.790, -1.403]\n 13.917 1.467 0.146 [11.651, 15.897]\n 4.582 0.723 0.072 [3.545, 6.154]\n 4.334 0.990 0.098 [2.780, 5.708]\n -5.607 0.848 0.084 [-7.326, -4.253]\n 1.125 0.767 0.076 [-0.440, 2.350]\n -5.961 0.756 0.075 [-7.356, -4.515]\n -0.267 1.517 0.151 [-2.349, 2.257]\n -4.767 1.240 0.124 [-6.695, -2.753]\n -3.646 1.710 0.171 [-6.445, -1.033]\n -5.416 1.016 0.101 [-7.446, -3.919]\n -1.869 0.783 0.078 [-3.753, -0.789]\n 6.135 1.220 0.121 [3.248, 7.752]\n -4.518 0.674 0.067 [-5.332, -2.836]\n 5.038 0.550 0.054 [3.930, 5.981]\n 0.917 0.654 0.064 [-0.462, 2.028]\n 0.205 1.285 0.128 [-2.269, 1.922]\n -5.173 1.089 0.108 [-6.821, -2.866]\n 0.832 1.480 0.148 [-2.316, 2.707]\n -0.210 0.663 0.065 [-1.417, 0.846]\n 7.057 0.941 0.093 [5.560, 8.856]\n 1.713 1.150 0.114 [-0.178, 3.825]\n -3.371 0.645 0.064 [-4.435, -2.069]\n 4.619 1.488 0.148 [2.444, 7.061]\n 4.792 0.545 0.053 [3.735, 5.835]\n -5.844 0.913 0.091 [-7.529, -4.279]\n -8.593 1.768 0.176 [-11.427, -5.318]\n -2.917 1.033 0.103 [-4.941, -1.432]\n -2.148 0.993 0.099 [-3.738, -0.441]\n 2.255 0.991 0.098 [0.505, 4.247]\n -4.445 0.880 0.087 [-5.741, -2.581]\n -0.441 1.758 0.175 [-2.588, 2.508]\n 1.454 0.656 0.065 [0.122, 2.597]\n 0.043 0.902 0.089 [-1.399, 1.591]\n -1.410 1.751 0.175 [-4.771, 1.058]\n -6.324 0.960 0.095 [-8.324, -4.704]\n -7.789 1.467 0.146 [-9.763, -5.191]\n -3.800 1.090 0.109 [-5.484, -2.024]\n 2.939 0.815 0.081 [1.322, 4.186]\n 1.594 0.837 0.083 [-0.270, 2.726]\n -10.913 1.928 0.192 [-13.777, -7.435]\n -4.984 0.948 0.094 [-6.827, -3.169]\n -4.767 0.484 0.047 [-5.596, -3.774]\n 5.730 2.029 0.203 [1.695, 8.464]\n 4.866 1.015 0.101 [3.263, 7.032]\n -2.094 0.614 0.060 [-3.047, -0.949]\n 2.212 1.242 0.124 [0.390, 4.060]\n -1.860 1.637 0.163 [-4.445, 0.815]\n -8.199 0.805 0.080 [-9.216, -5.606]\n -1.393 1.599 0.160 [-4.004, 1.737]\n -5.749 1.222 0.122 [-8.042, -4.143]\n -0.523 0.788 0.078 [-1.611, 0.833]\n 3.107 1.117 0.111 [1.443, 4.813]\n 14.376 0.775 0.077 [13.295, 15.857]\n -2.256 1.802 0.180 [-4.700, 0.491]\n -8.556 1.628 0.162 [-11.902, -6.581]\n 1.252 1.182 0.118 [-0.478, 3.129]\n -1.340 0.709 0.070 [-2.388, 0.013]\n 4.550 0.956 0.095 [2.628, 6.368]\n 8.252 0.547 0.054 [7.262, 9.322]\n 5.776 1.505 0.150 [3.548, 8.584]\n 5.060 1.525 0.152 [2.885, 7.415]\n 3.035 0.673 0.066 [1.856, 4.067]\n 4.738 1.581 0.158 [1.932, 6.746]\n 1.611 0.807 0.080 [0.033, 3.625]\n -6.748 1.119 0.111 [-8.480, -4.181]\n -2.130 1.125 0.112 [-4.110, -0.121]\n -2.112 1.044 0.104 [-3.916, -0.349]\n 5.670 0.505 0.049 [4.591, 6.529]\n -5.072 0.815 0.081 [-6.369, -3.991]\n -2.777 0.517 0.050 [-3.633, -1.588]\n -0.799 0.965 0.096 [-2.040, 0.826]\n 0.902 0.888 0.088 [-0.755, 2.604]\n 8.088 1.384 0.138 [5.764, 10.591]\n -2.374 0.812 0.080 [-3.891, -1.090]\n -2.868 0.964 0.096 [-4.184, -0.672]\n -8.223 2.901 0.290 [-13.507, -4.059]\n -0.823 1.088 0.108 [-2.398, 1.013]\n -1.690 2.316 0.231 [-5.199, 1.862]\n 4.248 0.997 0.099 [2.474, 5.999]\n -0.202 0.561 0.055 [-1.124, 0.869]\n 1.962 1.125 0.112 [0.323, 4.795]\n 3.552 0.860 0.085 [2.102, 5.243]\n -17.055 0.412 0.040 [-17.714, -16.169]\n 0.570 0.674 0.066 [-0.812, 1.775]\n 1.561 1.343 0.134 [-0.944, 3.494]\n 5.544 1.607 0.160 [3.252, 8.031]\n 8.215 0.710 0.070 [6.751, 9.397]\n 3.658 0.918 0.091 [2.146, 5.370]\n 3.776 1.004 0.100 [1.974, 5.347]\n 0.193 1.054 0.105 [-1.139, 2.840]\n 0.950 0.889 0.088 [-0.732, 2.712]\n -7.741 1.414 0.141 [-9.936, -5.503]\n 3.252 0.797 0.079 [1.605, 4.569]\n 4.294 1.632 0.163 [1.369, 6.541]\n 7.679 0.525 0.051 [6.719, 8.707]\n -11.293 0.574 0.056 [-12.366, -10.193]\n -8.471 0.964 0.096 [-9.792, -6.379]\n -4.534 0.645 0.064 [-5.464, -3.194]\n -6.567 1.434 0.143 [-9.159, -4.509]\n 4.254 0.692 0.068 [3.036, 5.529]\n 3.331 0.648 0.064 [1.857, 4.165]\n 8.703 1.928 0.192 [6.223, 12.577]\n 2.045 1.014 0.101 [0.362, 3.806]\n -9.812 1.447 0.144 [-11.446, -6.650]\n 5.335 0.635 0.062 [4.125, 6.366]\n -1.369 1.412 0.141 [-3.677, 0.903]\n -5.014 0.889 0.088 [-6.478, -3.311]\n -0.024 1.006 0.100 [-1.496, 2.459]\n 4.263 0.686 0.068 [3.166, 5.504]\n 1.594 0.776 0.077 [0.114, 2.855]\n 0.996 0.471 0.046 [-0.038, 1.788]\n 10.006 1.327 0.132 [6.976, 11.892]\n -1.851 0.591 0.058 [-2.836, -0.916]\n -1.634 1.039 0.103 [-3.105, 0.316]\n 2.181 0.988 0.098 [0.674, 3.698]\n 0.685 0.737 0.073 [-0.626, 1.868]\n -1.171 1.451 0.145 [-3.394, 1.424]\n 8.898 1.198 0.119 [7.240, 11.396]\n -5.507 0.763 0.076 [-7.070, -4.182]\n -3.301 0.966 0.096 [-5.053, -1.404]\n -11.967 1.090 0.108 [-13.490, -9.720]\n 6.394 0.856 0.085 [4.841, 7.675]\n 0.949 1.937 0.193 [-1.712, 3.893]\n 7.664 0.939 0.093 [5.728, 8.955]\n -4.078 1.571 0.157 [-6.746, -1.545]\n 10.399 1.753 0.175 [7.004, 13.999]\n 2.111 0.975 0.097 [-0.115, 3.636]\n -3.023 0.644 0.064 [-4.262, -2.093]\n -8.710 0.572 0.056 [-9.666, -7.436]\n 2.502 0.774 0.077 [1.274, 3.758]\n 0.206 1.208 0.120 [-1.686, 2.113]\n -5.022 0.931 0.093 [-6.836, -3.184]\n -5.308 0.863 0.086 [-7.162, -3.958]\n -1.158 0.467 0.045 [-1.927, -0.212]\n -3.601 1.873 0.187 [-5.939, -0.395]\n 6.524 0.996 0.099 [4.840, 8.576]\n -3.019 1.274 0.127 [-5.305, -1.282]\n 8.368 0.700 0.069 [6.503, 9.530]\n 0.953 0.623 0.061 [-0.423, 1.856]\n -2.020 1.082 0.108 [-3.993, -0.208]\n 9.610 0.567 0.056 [8.742, 10.641]\n 5.586 1.113 0.111 [3.644, 7.617]\n -0.318 0.984 0.098 [-1.948, 1.594]\n 2.580 1.558 0.155 [-0.084, 5.117]\n -2.821 1.123 0.112 [-4.661, -1.101]\n -5.198 0.773 0.076 [-6.502, -3.794]\n 6.948 0.588 0.058 [5.670, 7.815]\n 6.114 1.032 0.103 [3.971, 7.470]\n -4.730 1.856 0.185 [-6.946, -1.397]\n 5.348 1.140 0.113 [3.281, 7.134]\n -5.321 0.656 0.065 [-6.420, -4.171]\n -4.185 2.298 0.229 [-8.158, -0.998]\n 1.964 0.719 0.071 [0.634, 3.220]\n 2.719 1.062 0.106 [0.469, 4.495]\n -5.706 0.693 0.068 [-6.600, -4.316]\n 3.397 3.135 0.313 [-2.729, 7.212]\n -1.371 0.929 0.092 [-2.589, 0.411]\n -6.534 1.121 0.112 [-8.264, -4.900]\n -4.843 0.969 0.096 [-6.297, -3.263]\n 8.668 0.866 0.086 [7.380, 10.447]\n -0.812 0.523 0.051 [-1.749, 0.098]\n -6.485 1.452 0.145 [-8.590, -4.243]\n -14.501 0.839 0.083 [-15.643, -12.948]\n -6.417 1.268 0.126 [-8.717, -4.239]\n 0.554 0.530 0.052 [-0.557, 1.400]\n 10.698 0.673 0.066 [9.606, 11.874]\n -6.143 1.017 0.101 [-8.067, -4.254]\n -6.172 2.033 0.203 [-9.939, -2.809]\n -3.311 0.603 0.059 [-4.303, -2.141]\n 1.956 1.095 0.109 [-0.414, 3.914]\n 8.643 0.923 0.092 [7.274, 10.589]\n -4.129 1.576 0.157 [-7.210, -2.243]\n 13.733 0.818 0.081 [12.428, 15.186]\n -8.779 1.967 0.196 [-11.986, -4.394]\n -4.233 0.914 0.091 [-5.929, -2.698]\n -9.019 2.063 0.206 [-11.725, -5.259]\n -0.507 0.785 0.078 [-1.660, 0.777]\n 1.169 1.492 0.149 [-0.944, 4.402]\n -11.428 0.651 0.064 [-12.494, -10.224]\n -3.239 0.488 0.047 [-4.067, -2.435]\n 5.664 1.231 0.122 [3.388, 7.913]\n 3.983 1.594 0.159 [1.363, 6.046]\n -4.345 0.845 0.084 [-5.413, -2.195]\n 1.539 0.550 0.054 [0.630, 2.678]\n 4.184 0.873 0.087 [2.898, 5.871]\n -6.521 1.526 0.152 [-9.190, -4.474]\n 10.650 1.029 0.102 [9.000, 12.592]\n 7.403 0.795 0.079 [5.997, 8.620]\n 1.482 0.990 0.098 [-0.554, 3.095]\n 3.728 0.897 0.089 [1.755, 5.176]\n 4.540 0.746 0.074 [3.270, 5.658]\n 2.491 1.017 0.101 [0.706, 4.206]\n 1.533 1.112 0.111 [-0.149, 3.652]\n -3.342 1.334 0.133 [-4.868, -0.281]\n 1.520 1.122 0.112 [-0.478, 3.324]\n -4.985 1.052 0.105 [-6.737, -2.972]\n -3.970 2.771 0.277 [-8.401, -0.773]\n 3.635 0.832 0.083 [2.207, 5.086]\n -0.431 1.393 0.139 [-2.961, 1.615]\n -3.646 1.550 0.155 [-6.133, -1.501]\n -5.221 2.003 0.200 [-7.712, -1.609]\n -1.708 0.876 0.087 [-2.990, -0.059]\n 2.706 0.809 0.080 [1.342, 4.393]\n -2.212 0.858 0.085 [-3.877, -0.590]\n 2.817 0.596 0.059 [1.678, 3.783]\n 2.550 1.081 0.108 [0.639, 4.715]\n -3.009 1.888 0.188 [-6.007, -0.336]\n 6.631 2.083 0.208 [3.813, 9.781]\n 6.116 2.035 0.203 [2.699, 9.274]\n 3.338 1.018 0.101 [1.159, 4.973]\n -0.303 0.663 0.065 [-2.131, 0.560]\n 3.195 0.999 0.099 [0.847, 4.336]\n -4.900 1.304 0.130 [-7.489, -2.556]\n 6.783 0.645 0.064 [5.794, 8.090]\n -0.465 1.156 0.115 [-2.260, 1.839]\n 1.324 1.057 0.105 [-0.615, 3.416]\n 1.136 0.795 0.079 [-0.393, 2.584]\n -1.229 0.475 0.046 [-2.233, -0.409]\n 2.249 0.989 0.098 [0.684, 4.279]\n -4.216 1.418 0.141 [-6.210, -1.630]\n 2.472 1.831 0.183 [-0.179, 5.296]\n 4.041 0.679 0.067 [2.819, 5.114]\n 4.307 1.893 0.189 [1.065, 7.083]\n -2.177 1.222 0.122 [-4.405, -0.152]\n 0.561 1.801 0.180 [-2.325, 3.249]\n 0.086 1.046 0.104 [-2.221, 2.069]\n -1.369 1.718 0.171 [-3.756, 1.004]\n 4.685 0.594 0.058 [3.381, 5.748]\n -3.340 0.661 0.065 [-4.538, -2.008]\n -2.348 0.619 0.061 [-3.479, -1.173]\n 18.402 0.864 0.086 [16.971, 19.949]\n 8.513 1.144 0.114 [6.131, 10.295]\n -4.983 0.703 0.069 [-6.146, -3.455]\n 7.906 1.370 0.136 [5.094, 9.912]\n -2.183 0.877 0.087 [-3.912, -0.889]\n -2.280 0.825 0.082 [-3.421, -0.427]\n -4.026 0.948 0.094 [-5.618, -2.296]\n 0.908 0.981 0.098 [-0.779, 2.510]\n -7.286 1.273 0.127 [-9.549, -5.455]\n 6.599 1.470 0.146 [4.177, 8.888]\n -0.158 1.737 0.173 [-2.533, 2.969]\n 4.991 1.497 0.149 [2.805, 7.829]\n -6.743 1.650 0.165 [-9.143, -2.807]\n 3.383 0.812 0.080 [1.866, 4.795]\n 4.035 0.387 0.037 [3.195, 4.703]\n -5.766 0.880 0.087 [-7.452, -4.401]\n 5.688 0.879 0.087 [4.429, 7.454]\n -8.669 0.802 0.079 [-10.055, -7.283]\n 0.136 0.823 0.082 [-1.552, 1.502]\n -1.216 0.782 0.077 [-2.559, 0.378]\n 5.619 1.305 0.130 [3.625, 7.625]\n 0.448 0.857 0.085 [-1.028, 2.127]\n 6.023 1.492 0.149 [3.792, 8.438]\n 0.856 0.584 0.057 [-0.127, 1.773]\n -4.188 1.258 0.125 [-6.399, -1.427]\n -5.151 0.591 0.058 [-6.280, -4.209]\n -2.238 0.795 0.079 [-3.755, -0.906]\n -4.649 0.831 0.082 [-6.108, -3.409]\n 1.461 1.383 0.138 [-0.823, 3.841]\n -1.936 0.810 0.080 [-3.457, -0.705]\n -4.089 0.823 0.082 [-5.710, -2.804]\n -0.177 0.641 0.063 [-1.222, 1.349]\n -0.464 0.722 0.071 [-1.720, 0.851]\n -5.621 0.755 0.075 [-6.986, -4.198]\n -3.817 0.631 0.062 [-5.269, -2.752]\n 5.298 0.795 0.079 [3.916, 6.551]\n -2.811 1.027 0.102 [-4.794, -1.199]\n -1.776 0.756 0.075 [-3.199, -0.611]\n -1.450 0.533 0.052 [-2.390, -0.596]\n\n",
"name": "stdout"
},
{
"output_type": "stream",
"text": " Posterior quantiles:\n 2.5 25 50 75 97.5\n |--------------|==============|==============|--------------|\n \n 1.448 2.236 2.697 2.936 3.513\n -4.638 -3.510 -2.416 -1.455 -0.591\n -2.206 -1.236 -0.586 -0.150 0.505\n 6.645 7.573 8.026 8.758 9.659\n 2.913 4.798 5.241 5.511 6.488\n -4.026 -2.884 -2.427 -1.655 1.078\n -1.872 -1.203 -0.391 1.139 2.438\n -1.875 -0.922 -0.395 0.014 1.209\n -8.653 -8.088 -7.822 -7.567 -6.362\n -0.377 0.733 1.269 1.745 2.464\n 1.743 2.911 3.420 5.362 8.360\n 1.087 2.730 5.506 6.436 7.279\n 4.247 5.076 5.476 6.043 6.792\n -2.616 -1.569 -0.701 0.963 2.019\n -2.660 -1.566 -0.532 0.608 1.695\n -10.119 -7.467 -6.753 -6.223 -4.603\n -3.689 -2.614 -2.406 -2.160 -1.644\n 3.402 4.680 5.434 6.531 7.460\n -0.072 1.677 2.354 3.460 6.273\n -12.882 -12.380 -11.761 -11.136 -10.285\n -4.864 -3.737 -2.814 -2.304 -0.950\n 3.970 6.609 8.243 8.797 9.391\n 0.058 0.938 1.517 1.926 2.727\n -2.184 -1.411 -0.179 0.823 1.766\n -3.385 -1.691 -1.062 -0.523 0.649\n 4.792 5.774 6.546 7.498 8.921\n -16.655 -14.869 -12.298 -11.609 -10.902\n -6.768 -5.408 -4.629 -3.980 -1.920\n -2.729 -2.001 -1.340 -0.367 1.129\n -3.901 -2.183 -1.145 -0.554 0.711\n -5.096 -3.695 -3.333 -3.000 -2.284\n 3.754 5.010 5.846 7.330 7.944\n -3.410 -2.908 -2.321 -0.792 0.611\n -1.801 -0.534 -0.071 1.157 1.999\n -8.612 -7.141 -5.283 -2.350 -1.131\n -3.088 -2.127 -1.360 -0.436 0.985\n -7.812 -7.032 -6.446 -5.751 -5.004\n 9.834 10.974 11.869 12.209 12.805\n -3.155 -0.202 0.324 0.748 1.659\n 1.776 2.157 2.608 3.516 4.174\n -2.250 -1.601 -1.203 -0.703 0.041\n -6.007 -4.523 -3.636 -2.698 -1.553\n -1.045 0.002 0.374 1.142 1.928\n -6.087 -5.433 -4.251 -3.421 -2.749\n 2.040 2.755 3.118 3.453 4.077\n 0.126 0.900 1.192 1.374 1.748\n 4.382 5.048 5.981 7.006 7.781\n -6.695 -6.098 -5.710 -5.248 -4.683\n -3.638 -2.821 -2.381 -1.713 -0.933\n -9.878 -8.888 -7.305 -6.458 -5.582\n -3.048 -2.335 -1.795 -1.263 -0.628\n -18.093 -16.083 -15.065 -14.176 -12.731\n -15.711 -13.904 -13.047 -12.571 -11.722\n -2.528 -2.015 -1.091 -0.524 0.332\n -0.113 0.609 1.873 3.525 4.406\n -3.528 -2.580 -1.735 0.219 1.340\n 5.089 6.225 7.205 8.069 9.275\n -10.568 -9.881 -7.417 -5.814 -5.249\n -1.163 -0.167 0.242 0.565 0.949\n -12.104 -10.630 -10.257 -9.861 -7.730\n -7.274 -6.617 -6.128 -5.578 -4.699\n 7.460 8.096 8.742 9.178 10.832\n -7.030 -6.408 -5.784 -4.246 -2.747\n -0.798 0.633 1.493 2.123 3.248\n -1.055 0.619 1.314 1.746 2.120\n -6.637 -5.714 -4.815 -3.597 -2.162\n 3.755 4.195 4.621 6.954 10.212\n -7.136 -6.016 -4.792 -3.481 -2.662\n 1.515 2.323 3.029 5.479 6.045\n -2.599 -1.935 -1.137 0.562 1.875\n -7.644 -7.032 -5.852 -4.773 -3.524\n -3.458 -2.790 -1.842 -0.540 0.249\n -3.383 -1.397 -0.359 0.151 0.724\n -9.381 -8.871 -8.019 -6.149 -4.931\n -4.741 -3.700 -2.742 -1.975 -0.293\n -2.277 -1.184 -0.724 -0.413 1.277\n -1.565 -0.633 -0.003 0.628 1.470\n -2.489 -0.600 0.070 2.339 3.749\n -3.951 -2.600 -1.935 -1.455 -0.930\n -0.861 -0.238 0.244 1.386 2.210\n 4.191 5.046 5.401 5.797 6.382\n -4.250 -3.741 -2.759 0.347 2.726\n 2.312 2.967 3.305 3.933 4.755\n -4.019 -3.446 -2.972 -1.630 0.405\n -7.267 -6.392 -4.060 -2.948 -1.165\n -15.242 -14.698 -14.400 -14.167 -12.763\n -1.445 -0.731 -0.145 0.525 1.067\n 6.792 7.709 8.458 9.229 9.972\n 2.951 4.038 4.868 5.490 7.019\n -4.376 -3.763 -3.218 -2.083 -0.939\n 0.205 0.722 1.040 1.695 4.397\n -0.768 0.391 0.935 1.468 2.099\n 10.289 10.927 11.322 12.015 12.958\n -5.285 -4.703 -3.929 -3.413 -2.057\n 9.413 10.112 12.037 13.046 13.441\n -0.447 0.684 2.368 3.778 4.666\n 0.886 1.652 2.279 3.055 4.639\n 10.815 11.306 11.596 11.870 12.387\n -6.792 -5.101 -4.029 -3.174 -2.020\n 2.785 3.237 3.615 3.927 4.588\n 4.264 4.895 5.376 5.632 6.180\n 8.297 8.904 9.559 10.853 12.689\n -4.970 -4.296 -3.910 -2.589 -1.951\n -4.974 -3.896 -2.721 -2.185 -1.622\n -7.815 -7.306 -6.718 -6.178 -4.946\n -7.115 -6.327 -5.319 -3.677 -2.904\n 3.615 4.045 4.365 4.874 5.678\n -13.872 -12.376 -9.513 -5.930 -3.798\n 4.747 5.444 5.866 6.290 7.397\n -7.650 -7.098 -6.320 -4.774 -0.818\n -9.934 -8.764 -7.019 -6.228 -5.013\n -1.226 -0.078 0.394 0.706 1.324\n -4.164 -3.322 -0.188 1.492 4.354\n 0.864 1.570 1.919 2.287 2.833\n -2.957 -2.518 -2.251 -1.879 -1.230\n 1.760 2.469 3.798 4.216 5.669\n 4.554 5.125 5.442 6.353 8.140\n -5.665 -4.719 -4.123 -3.794 -3.185\n 2.648 6.748 7.421 8.410 9.265\n -2.344 -1.885 -1.393 -0.754 0.182\n -4.218 -2.747 -1.635 -1.230 0.070\n -3.015 -2.462 -2.174 -1.906 -1.274\n -7.185 -5.414 -4.480 -3.771 -2.907\n 3.906 4.967 5.853 6.240 7.420\n 1.532 2.104 2.573 3.022 4.064\n -6.733 -6.290 -6.036 -5.482 -4.802\n -5.641 -4.271 -3.284 -2.143 -0.684\n 1.141 2.239 3.294 3.939 4.569\n -2.307 -0.884 0.023 0.724 1.736\n -5.164 -4.364 -3.208 -0.640 1.740\n -2.108 -0.873 -0.399 -0.065 0.563\n -0.680 0.820 1.194 1.859 2.753\n -15.511 -14.247 -13.542 -12.968 -12.383\n -0.569 0.069 0.602 1.007 1.626\n 1.975 2.695 3.703 4.466 5.184\n 2.826 3.454 4.339 5.647 6.520\n 6.348 6.948 7.511 8.379 9.016\n -9.373 -7.399 -4.692 -4.346 -3.821\n 0.011 0.692 1.336 1.833 2.329\n 3.486 4.150 4.816 5.621 6.318\n -7.185 -6.478 -5.919 -4.612 -3.598\n -1.839 -1.164 -0.152 0.329 1.635\n 2.305 2.753 3.361 4.135 5.717\n 5.664 7.355 7.932 9.438 10.282\n 3.075 4.442 4.902 5.997 7.139\n -3.200 -1.553 -0.775 0.011 1.476\n 5.385 5.959 6.913 9.587 10.765\n 7.253 8.222 10.309 11.283 12.907\n 0.750 2.927 3.571 4.026 5.081\n -1.455 -0.327 1.648 3.955 4.760\n 5.804 6.391 6.727 7.027 7.671\n 5.870 6.405 6.894 7.373 7.930\n 3.723 4.778 6.276 7.655 8.596\n 11.378 12.200 13.634 14.625 15.689\n -7.515 -6.870 -6.068 -3.974 -2.104\n 10.611 12.956 13.557 14.965 15.931\n -5.206 -3.799 -3.088 -2.488 -1.133\n -11.616 -11.115 -9.969 -8.437 -6.507\n -7.606 -5.912 -4.848 -4.372 -3.877\n -5.977 -4.252 -3.365 -2.214 0.112\n 2.264 3.136 4.051 5.140 6.569\n 3.986 4.823 5.156 5.561 6.132\n 3.110 3.684 4.146 4.686 5.114\n 5.957 6.345 6.718 7.134 7.829\n -9.915 -7.826 -7.008 -6.102 -3.840\n -10.757 -9.722 -8.919 -7.999 -6.208\n -2.926 -2.373 -1.950 -1.008 3.254\n -0.610 0.103 0.625 2.174 3.877\n 1.176 2.599 3.666 4.930 5.694\n 0.567 1.724 2.437 2.907 4.318\n -11.709 -10.387 -9.911 -8.464 -7.184\n -6.323 -5.663 -3.845 -3.048 -1.842\n 5.139 7.299 8.167 8.760 9.792\n 0.399 1.412 3.440 4.569 5.423\n 2.776 3.267 3.852 4.924 5.566\n -12.536 -11.451 -10.237 -8.657 -7.489\n 2.787 4.886 5.492 6.111 6.826\n -3.404 -1.522 -0.649 0.330 2.340\n -2.915 -2.300 -1.598 -0.957 0.691\n 3.088 3.941 4.310 4.531 5.283\n 4.259 5.047 5.574 6.027 6.876\n -8.274 -6.147 -5.555 -5.105 -4.167\n -3.209 -2.379 -1.719 -0.840 -0.172\n 1.289 2.339 3.171 4.050 5.150\n -5.170 -4.648 -4.073 -3.361 -2.508\n -4.404 -3.219 -2.543 -1.677 -0.789\n 1.373 1.879 2.349 2.783 3.632\n 1.414 1.993 2.452 4.491 5.180\n 2.753 3.239 4.323 5.662 7.045\n 0.385 1.076 1.467 1.784 2.621\n 7.784 8.372 9.163 9.841 10.842\n -6.263 -4.925 -3.907 -2.527 -0.837\n -0.411 0.931 1.493 2.436 3.257\n -0.251 0.397 0.982 1.512 2.724\n -5.717 -4.798 -3.437 -2.750 -2.073\n 0.472 1.120 1.463 2.529 3.549\n -9.336 -7.501 -6.131 -4.591 -2.333\n -3.260 -2.243 -1.326 -1.030 -0.496\n -1.675 -0.819 -0.479 -0.127 0.538\n 1.054 2.078 2.532 3.033 3.855\n 2.074 2.517 2.800 3.228 4.824\n -2.173 -1.239 -0.905 -0.602 0.020\n -10.697 -7.400 -6.228 -5.386 -4.364\n -2.247 -1.268 -0.373 -0.012 0.492\n 7.451 8.212 8.797 9.478 12.076\n -4.300 -3.392 -3.120 -2.926 -2.464\n 7.722 8.356 9.188 9.696 11.248\n -12.815 -11.842 -10.141 -9.650 -9.147\n 0.884 1.844 2.392 3.155 3.825\n -4.528 -3.820 -3.207 -2.722 -1.686\n 5.230 6.146 7.200 8.049 9.063\n -12.913 -11.876 -11.090 -8.902 -7.150\n 3.277 4.180 5.107 5.653 6.563\n 2.556 3.122 3.449 4.212 5.667\n 0.086 1.572 2.940 4.216 5.535\n 19.105 19.721 20.396 20.980 22.288\n 2.308 3.284 3.756 4.084 4.778\n -3.557 -2.981 -2.063 -1.122 -0.139\n -7.228 -5.400 -4.201 -3.796 -3.057\n 6.724 7.335 10.530 11.656 12.466\n -3.344 -2.603 -1.555 -0.834 -0.128\n -9.239 -8.408 -7.885 -7.337 -6.133\n -2.639 -1.440 -0.979 -0.238 0.147\n 3.062 3.599 3.888 4.228 5.137\n -4.415 -3.563 -2.967 -2.437 -1.930\n -2.738 -2.082 -0.584 -0.230 0.235\n 10.199 10.953 12.530 13.490 14.883\n 3.385 4.555 5.365 7.050 8.613\n 13.342 13.785 14.052 14.306 14.708\n -4.188 -2.593 -2.069 -1.064 -0.431\n 1.182 1.589 1.907 2.263 2.987\n -6.553 -6.073 -5.675 -5.268 -4.359\n -5.732 -5.177 -4.722 -3.619 -1.823\n 0.906 3.262 4.005 4.539 5.098\n -2.418 -1.844 -1.159 -0.166 1.402\n -0.085 0.470 0.919 1.466 2.411\n 1.714 2.392 3.104 3.664 4.423\n 6.346 7.320 8.063 8.567 8.974\n -4.893 -3.141 -2.414 -2.069 -1.553\n -2.091 -1.280 -0.946 -0.629 0.385\n 0.746 1.565 2.301 2.711 4.729\n 2.541 3.155 3.758 4.317 5.011\n 3.789 4.289 4.882 5.339 6.635\n -5.810 -5.122 -4.898 -4.462 -3.596\n -2.473 -1.563 -0.934 -0.638 -0.055\n 0.054 2.656 3.932 4.455 5.062\n 0.484 1.371 1.820 2.270 4.677\n 3.228 3.657 5.565 6.030 6.832\n -7.381 -5.680 -5.341 -4.775 -3.500\n 6.626 7.550 7.859 8.817 9.396\n 3.999 5.823 7.780 10.507 11.549\n 4.730 5.275 5.740 6.159 6.711\n 4.232 4.754 5.255 5.626 5.993\n 1.614 2.392 3.511 4.208 5.023\n -5.847 -5.309 -4.768 -4.184 -3.442\n -7.220 -6.054 -5.713 -5.303 -4.703\n -1.840 -0.670 -0.274 0.125 0.599\n -3.197 -2.716 -1.186 0.337 1.677\n -13.125 -11.118 -10.041 -8.439 -6.454\n -3.248 -2.787 -2.464 -2.159 -1.780\n 1.547 2.513 3.147 3.635 4.376\n -9.463 -8.311 -7.468 -6.885 -5.733\n -6.751 -4.307 -3.457 -2.848 -2.177\n -2.095 -1.647 -0.914 -0.229 0.224\n -2.435 -1.603 -0.921 -0.448 0.258\n -0.655 0.243 0.804 1.513 2.413\n -0.608 0.819 1.612 2.214 2.960\n 0.497 1.423 1.965 2.793 3.770\n -3.497 -1.777 -0.888 -0.525 0.254\n -4.245 -3.419 -0.897 0.534 1.522\n -6.600 -5.767 -5.323 -4.402 -3.569\n 4.235 6.262 7.478 7.927 9.015\n -12.033 -10.613 -9.964 -8.717 -7.900\n -7.016 -5.529 -5.033 -4.218 -3.522\n -3.734 -2.359 -1.812 -1.492 -0.415\n -1.289 -0.656 -0.267 0.478 1.657\n 4.941 5.435 6.278 6.722 8.235\n -5.275 -4.696 -2.805 -1.342 0.330\n -2.086 -1.723 -1.513 -1.106 -0.620\n 2.880 3.693 4.236 4.873 6.107\n 1.363 2.782 3.368 4.336 5.078\n -9.073 -8.628 -8.074 -7.425 -5.031\n -11.834 -11.341 -10.872 -10.340 -9.757\n -6.615 -5.750 -4.794 -3.770 -2.647\n 0.078 0.826 1.662 2.531 3.522\n -2.106 -0.992 -0.392 1.359 3.466\n -6.014 -5.357 -4.538 -3.268 -1.955\n -2.122 -0.085 1.212 1.566 2.123\n 2.950 4.010 4.463 4.829 5.613\n -1.444 -0.612 0.484 1.147 2.801\n -10.990 -9.597 -8.849 -7.909 -7.220\n -2.405 -1.930 -0.863 -0.179 0.477\n 5.114 5.596 6.184 6.564 7.243\n -6.325 -5.871 -5.420 -4.768 -1.758\n -3.902 -2.812 -2.328 -1.560 -0.962\n -5.454 -4.927 -4.512 -4.097 -3.565\n 7.728 8.952 9.921 10.307 11.003\n -1.287 -0.747 -0.268 1.937 3.678\n -1.044 0.121 1.412 2.667 4.619\n -5.376 -4.372 -3.897 -3.240 -2.196\n -2.706 -2.063 -1.187 -0.613 0.439\n -4.089 -3.461 -3.248 -2.679 -2.091\n 0.836 2.586 2.982 3.370 4.034\n -2.242 -1.521 -1.063 -0.145 0.430\n -3.677 -2.615 -0.408 0.900 1.924\n 1.188 2.103 2.793 3.311 4.091\n 2.226 3.760 4.226 4.585 5.092\n -6.693 -5.658 -5.037 -4.179 -2.551\n -5.545 -2.761 -2.136 -0.953 0.832\n -3.431 -2.634 -2.110 -1.308 0.998\n 1.616 2.273 4.157 5.590 7.448\n -2.102 -0.760 -0.208 0.273 1.175\n 11.023 11.461 11.948 12.586 13.297\n -4.724 -3.407 -2.848 -2.242 -1.421\n -8.554 -7.175 -6.586 -5.836 -4.993\n -2.293 -1.771 -1.369 -0.881 0.368\n -11.690 -10.395 -9.617 -8.094 -5.958\n 5.867 6.360 6.835 7.885 10.172\n -1.144 -0.444 -0.132 0.220 0.638\n -0.227 0.828 1.345 1.843 3.140\n 2.365 3.366 3.891 4.501 5.025\n -5.831 -4.315 -3.478 -2.954 -0.320\n -6.439 -5.706 -4.881 -4.375 -3.367\n 4.952 5.429 6.422 6.893 7.613\n -4.167 -3.214 -1.394 -0.885 -0.144\n -3.698 -2.520 -0.993 1.191 2.625\n -13.321 -11.692 -10.222 -8.958 -7.678\n -9.299 -8.438 -7.538 -5.844 -4.795\n 4.134 5.310 5.995 6.507 6.935\n -6.179 -5.143 -3.824 -3.229 -1.760\n 2.786 5.139 6.621 7.516 9.446\n 0.441 2.390 3.289 4.095 6.117\n -7.010 -5.827 -4.616 -2.803 -1.938\n -3.649 -2.197 -1.057 -0.455 0.038\n -2.942 -2.164 -1.872 -1.520 -0.722\n -2.338 0.949 1.901 2.645 3.769\n 7.517 8.583 9.195 9.531 10.175\n -2.877 -1.649 -0.275 0.232 1.058\n -3.889 -3.398 -2.916 -2.119 0.062\n 2.642 3.331 3.971 4.362 5.040\n 0.770 1.481 2.048 2.684 3.785\n -7.095 -5.026 -4.348 -3.628 -2.986\n -3.726 -2.726 -2.167 -1.644 -1.056\n -2.355 -1.919 -1.437 -0.917 -0.309\n 4.112 5.900 7.548 8.281 8.839\n 2.785 3.358 3.858 4.098 4.951\n -3.588 -3.052 -2.497 -2.052 -0.802\n 2.084 3.612 4.338 5.651 7.588\n -4.645 -3.458 -2.572 -1.593 0.171\n -7.392 -6.200 -4.551 -2.930 -2.285\n -14.099 -13.414 -12.747 -12.081 -11.133\n -4.806 -4.422 -3.400 -0.516 0.038\n 9.406 10.351 11.400 12.015 12.869\n -2.391 -1.718 -1.107 0.081 1.393\n 2.510 3.865 4.178 4.798 5.648\n -1.377 -0.791 -0.115 0.732 1.504\n -4.593 -3.949 -3.118 -2.823 -1.850\n -13.251 -12.473 -11.853 -11.081 -9.616\n -10.097 -9.284 -8.649 -7.217 -5.470\n 0.697 3.611 4.499 4.873 6.558\n 6.908 7.785 8.632 9.969 11.252\n 4.876 6.661 7.135 7.734 8.414\n -7.704 -6.930 -5.758 -5.213 -3.605\n -6.645 -4.874 -4.384 -4.058 -3.317\n -4.765 -4.035 -3.467 -1.546 -0.770\n -0.608 0.101 0.712 1.270 1.805\n -5.030 -3.130 -1.819 -0.749 0.139\n -7.096 -4.485 -3.503 -2.874 -1.725\n -10.907 -10.119 -9.129 -8.485 -6.366\n 3.954 5.807 6.950 7.564 8.284\n -1.941 -1.243 -0.285 0.767 2.667\n -10.193 -9.555 -8.848 -8.430 -7.615\n -11.191 -9.749 -7.406 -6.111 -5.585\n -10.875 -9.797 -9.426 -9.057 -8.557\n 2.155 2.627 2.896 3.331 4.271\n 2.447 3.159 3.974 5.448 6.467\n 1.558 2.148 2.769 3.194 4.030\n -2.040 -0.492 0.788 1.876 2.411\n -14.711 -13.785 -13.017 -12.469 -11.533\n 2.391 3.243 4.734 5.388 6.033\n -1.894 -1.267 -0.764 -0.472 1.396\n -9.599 -8.899 -8.499 -8.191 -7.381\n 0.054 2.527 3.506 4.543 5.376\n 8.971 9.750 10.037 10.331 10.990\n -1.030 0.008 0.984 3.147 3.862\n 1.398 2.524 3.274 4.363 5.138\n -2.929 -2.042 -1.469 -1.037 -0.508\n -0.533 0.135 0.792 1.684 2.307\n -8.686 -7.966 -7.237 -6.916 -6.591\n -5.542 -4.856 -4.071 -3.580 -2.742\n -12.416 -11.839 -11.372 -10.685 -8.684\n -12.041 -11.272 -10.628 -10.012 -7.897\n -9.992 -9.083 -8.152 -7.079 -5.827\n -3.997 -2.818 -1.618 -1.258 -0.294\n 4.681 5.550 5.987 6.308 7.046\n -1.722 -1.253 -0.889 -0.288 1.291\n 5.054 6.242 7.031 7.915 9.125\n -4.797 -4.079 -3.264 -2.796 -1.845\n -6.194 -5.124 -4.267 -1.472 1.378\n 3.316 4.470 5.011 5.686 6.507\n 6.464 6.996 8.644 10.542 11.616\n -3.371 -2.631 -1.420 -0.893 0.075\n 6.543 7.640 8.023 8.523 9.860\n -8.147 -7.414 -6.847 -6.284 -5.002\n -9.249 -8.333 -7.834 -7.304 -6.557\n 2.363 3.122 3.501 4.011 4.522\n -7.000 -6.313 -5.900 -5.323 -4.540\n -10.412 -9.929 -8.150 -6.291 -3.819\n 2.771 3.479 4.402 4.877 5.654\n 3.075 3.841 4.108 4.619 5.505\n 4.375 5.318 6.477 7.952 9.002\n -3.392 -0.881 0.129 1.040 1.972\n -0.371 0.467 0.815 1.718 2.588\n -6.102 -5.157 -4.580 -4.115 -3.386\n 4.224 5.459 5.878 6.264 6.768\n -4.678 -3.759 -3.170 -2.735 -1.970\n 0.176 1.250 1.978 2.373 3.021\n 0.908 2.106 2.775 3.502 4.246\n -12.100 -10.999 -8.989 -7.783 -6.413\n -1.542 -0.721 -0.353 0.511 2.506\n -10.886 -10.265 -8.788 -7.471 -6.724\n -3.124 -2.205 -1.842 -1.302 -0.372\n 2.616 3.181 3.492 4.018 4.477\n -2.769 -1.959 -1.116 -0.370 1.160\n -5.262 -4.144 -3.567 -3.234 -2.671\n -3.803 -3.121 -2.542 -2.163 -1.061\n -8.196 -6.714 -4.984 -4.179 -1.677\n -10.038 -8.647 -8.050 -7.213 -5.937\n 0.219 0.978 1.375 1.684 2.597\n 3.175 3.954 4.554 5.683 6.578\n 3.880 4.982 5.716 6.029 6.656\n 2.243 2.773 3.148 3.759 5.101\n -5.161 -4.459 -4.040 -3.419 -1.655\n -11.806 -9.721 -8.829 -7.618 -6.499\n 9.476 10.194 10.511 11.871 12.972\n -0.989 -0.022 0.463 0.782 1.486\n 1.478 2.294 2.596 3.091 3.997\n -0.329 1.655 2.333 2.738 3.223\n 3.414 4.025 4.437 4.804 5.457\n -2.403 -0.907 -0.288 0.191 0.825\n -9.354 -8.175 -7.114 -6.603 -5.712\n -5.003 -1.360 -0.341 0.309 0.795\n -2.452 -1.802 -1.059 -0.519 0.404\n 0.633 1.289 1.724 3.049 3.633\n -6.725 -6.090 -5.615 -4.640 -3.593\n -2.137 -1.305 -0.483 0.361 1.812\n -13.052 -12.144 -11.745 -10.815 -10.181\n -6.951 -6.150 -5.646 -5.322 -4.468\n -5.476 -2.951 -1.382 -0.871 1.231\n 10.991 12.316 12.792 13.265 13.923\n 3.345 4.211 4.882 5.609 6.350\n 2.170 2.972 3.612 4.135 4.983\n 0.314 0.918 1.599 3.034 4.112\n 3.708 4.419 5.006 6.654 8.521\n 9.215 9.956 10.396 11.031 11.751\n -3.177 -2.370 -1.855 -1.351 -0.423\n 1.559 2.765 3.874 4.626 5.512\n -11.456 -10.786 -10.486 -10.008 -9.359\n -2.691 -1.412 -1.073 -0.606 -0.229\n -2.547 -0.892 -0.498 -0.051 0.457\n -8.605 -7.700 -7.046 -5.137 -3.451\n -5.494 -4.609 -3.968 -3.283 -2.660\n 9.424 10.240 10.576 11.402 12.806\n 3.360 4.277 5.123 5.850 6.457\n -3.929 -2.118 -1.065 -0.330 1.237\n 4.265 4.835 5.739 6.606 7.337\n -5.957 -5.158 -4.352 -3.727 -2.974\n -1.827 -0.436 0.239 0.617 1.653\n 4.229 5.089 5.536 6.456 8.017\n -3.272 -0.764 -0.206 0.725 2.633\n -0.372 0.452 2.976 5.817 6.457\n -5.432 -4.985 -4.764 -4.476 -3.771\n 2.747 3.746 4.557 4.922 5.607\n -7.794 -6.628 -5.708 -3.200 -0.788\n -0.811 0.115 2.158 2.743 3.482\n -2.317 -1.876 -1.344 -0.376 1.684\n 0.971 2.471 3.370 4.297 4.920\n -4.727 -3.684 -3.039 -2.718 -2.095\n 3.311 4.298 4.838 5.247 5.765\n 0.031 1.961 2.653 3.319 4.349\n 1.357 3.112 4.297 5.505 6.325\n -3.094 -1.658 0.224 1.300 1.799\n -2.447 -1.923 -1.150 -0.632 0.008\n -2.225 -1.188 -0.836 -0.599 -0.191\n 0.259 0.767 1.018 1.303 1.823\n -0.853 0.053 0.839 1.345 2.199\n 9.919 10.520 10.798 11.054 11.428\n 6.380 7.343 8.646 9.585 10.388\n -13.334 -11.882 -11.025 -10.242 -9.049\n 5.232 5.877 6.669 7.113 8.324\n 1.340 2.514 3.888 4.547 5.106\n -17.627 -15.830 -14.915 -14.432 -13.833\n -5.504 -3.622 -2.735 -2.298 -1.821\n -0.360 0.189 0.482 1.229 2.930\n -3.882 -3.296 -2.822 -2.215 -1.292\n -3.232 -2.379 -1.940 -1.068 0.082\n -6.557 -5.650 -4.907 -4.581 -3.565\n -7.120 -5.235 -3.156 -2.103 -1.499\n 4.217 6.180 6.807 7.162 7.674\n 15.181 16.219 17.118 17.539 18.022\n 0.103 1.111 1.516 1.943 2.399\n -9.983 -9.291 -8.916 -8.541 -7.750\n -6.513 -5.806 -5.358 -5.006 -4.448\n -3.507 -2.844 -1.568 -0.189 0.508\n -1.721 -0.977 -0.622 0.625 2.206\n 4.769 5.302 5.753 6.448 7.194\n -3.445 -2.779 -2.056 -0.347 1.815\n 0.134 1.138 3.123 4.441 7.932\n -12.987 -11.283 -10.567 -8.921 -7.576\n -1.145 0.280 0.952 2.254 3.475\n -1.631 -0.908 -0.275 0.431 1.076\n 7.973 8.629 8.902 9.274 10.418\n -8.469 -6.423 -4.064 -2.829 -0.375\n 2.382 3.214 3.556 4.504 5.356\n -10.550 -8.825 -7.832 -7.096 -6.113\n 2.044 2.712 3.108 3.467 4.473\n -2.217 -1.035 -0.609 0.128 1.730\n -6.356 -4.687 -3.465 -2.470 -1.675\n -4.071 -3.641 -3.152 -0.843 1.877\n 3.698 5.037 5.581 6.004 7.093\n -4.029 -2.797 -1.410 -0.126 1.536\n 1.833 2.720 3.421 4.243 7.627\n 2.548 3.324 4.609 5.488 6.641\n -3.532 -2.552 -0.449 -0.017 0.982\n 5.319 5.770 6.089 6.382 7.144\n -1.373 -0.046 0.624 0.991 2.136\n 1.315 3.116 4.080 4.997 5.470\n 0.067 1.117 1.488 2.033 3.251\n 1.056 2.232 3.388 4.279 5.004\n -2.049 -1.201 -0.714 0.139 1.136\n -0.919 0.335 0.792 1.314 1.912\n 1.797 2.470 2.812 3.370 4.587\n 5.065 6.072 7.472 8.493 9.469\n 0.135 0.737 1.048 1.431 2.791\n 5.347 5.702 5.966 6.573 7.136\n -8.449 -7.551 -6.855 -6.248 -4.404\n -12.234 -10.805 -9.668 -8.638 -7.350\n 3.750 4.934 6.343 6.908 8.156\n -3.789 -3.242 -2.659 -1.828 -1.010\n -3.880 -3.243 -2.779 -2.452 -1.602\n 4.455 5.750 6.277 6.675 8.530\n 4.802 5.871 6.775 7.389 8.038\n -5.494 -4.815 -4.424 -3.658 -2.336\n -1.994 -0.446 0.246 0.975 1.577\n -6.330 -5.882 -5.617 -5.269 -4.164\n -0.676 0.589 1.268 2.398 2.981\n 5.147 5.717 6.092 6.516 7.168\n 7.209 7.971 8.457 9.122 10.130\n 5.883 6.860 7.503 7.834 8.366\n -8.721 -7.729 -7.285 -6.879 -5.913\n -4.142 -3.160 -2.431 -1.268 -0.397\n 2.581 3.429 3.792 4.385 6.641\n -4.169 -3.203 -2.355 -1.722 -1.212\n -2.763 -1.958 -1.475 -0.750 0.847\n -8.018 -5.405 -4.484 -3.841 -2.399\n 0.446 1.423 1.997 2.392 3.485\n 7.629 8.158 8.457 9.079 9.864\n -8.351 -7.558 -4.813 -3.199 -2.033\n 7.671 8.738 9.108 9.472 10.272\n 2.806 3.379 4.126 4.622 6.091\n 3.886 4.219 4.621 6.096 7.752\n 0.736 2.557 3.271 3.612 4.768\n -3.014 -1.686 -1.149 -0.642 0.569\n -6.047 -4.925 -4.008 -3.544 -2.970\n -11.264 -10.525 -10.088 -8.490 -5.439\n -9.077 -8.230 -7.602 -7.208 -5.748\n -6.040 -5.530 -5.180 -4.672 -3.874\n 1.854 2.956 4.462 5.472 6.816\n 2.067 3.015 4.234 5.523 6.481\n -10.921 -10.351 -9.773 -8.813 -6.739\n -6.798 -5.545 -4.315 -3.803 -3.066\n -10.454 -6.869 -5.322 -4.766 -3.482\n -0.269 0.369 0.725 1.114 2.359\n 8.925 9.384 9.822 10.451 11.756\n 1.298 2.430 3.691 5.747 6.761\n 0.012 1.390 2.464 2.932 3.761\n -2.855 -2.227 -1.889 -1.299 -0.636\n -5.567 -4.624 -3.939 -3.360 -2.157\n -4.265 -3.428 -2.958 -2.666 -1.728\n -3.315 -2.735 -2.475 -2.026 -1.160\n -1.248 -0.202 0.245 1.000 2.061\n -4.100 -2.998 -2.507 -1.694 -0.957\n -1.018 0.364 0.888 1.472 2.446\n 5.841 7.225 7.888 9.181 10.593\n 0.575 1.730 2.152 2.873 3.963\n 1.648 2.618 3.165 3.698 4.405\n 6.657 7.654 8.017 8.459 9.211\n -4.043 -2.740 -1.485 0.025 0.453\n 0.622 1.786 2.974 3.932 5.260\n 2.768 4.211 4.682 5.485 7.127\n -1.784 -0.815 -0.392 0.105 0.996\n -4.790 -3.807 -3.092 -1.724 -0.808\n 5.420 6.273 6.852 8.013 8.906\n 2.309 3.425 4.718 5.298 6.045\n -4.257 -3.171 -2.657 -1.028 -0.667\n 3.839 4.417 4.795 5.371 6.959\n -1.866 -1.248 -0.689 0.464 1.785\n -0.862 -0.145 0.458 1.021 1.462\n 9.029 9.725 10.361 10.807 11.652\n -17.299 -15.799 -15.349 -15.128 -14.695\n -6.240 -5.778 -4.589 -2.908 -1.797\n 0.303 1.056 1.707 2.338 4.307\n 5.989 7.010 7.536 8.168 9.755\n -1.891 -0.770 -0.356 0.077 0.559\n -2.311 -0.594 0.316 0.784 1.818\n -2.238 -1.392 -0.748 -0.481 0.963\n 1.516 1.951 2.476 3.179 4.661\n 1.238 1.710 2.143 2.916 4.293\n -6.404 -4.812 -3.747 -3.285 -2.835\n -0.244 0.520 0.806 1.246 2.163\n -0.491 0.367 0.760 1.073 1.686\n -8.323 -7.398 -7.049 -6.646 -5.796\n -9.937 -9.065 -8.061 -7.313 -6.774\n -3.784 -3.086 -2.780 -2.357 -1.905\n -5.157 -3.797 -0.637 1.591 2.967\n 0.683 1.803 2.232 2.813 3.456\n 5.914 6.479 7.137 7.727 8.223\n -4.306 -3.440 -2.916 -2.385 -1.736\n -6.121 -5.639 -5.214 -4.872 -3.812\n -2.781 -2.450 -2.025 -1.625 -0.958\n 2.336 3.035 3.619 4.422 5.396\n 4.802 6.439 7.440 8.144 10.139\n -4.716 -4.160 -3.733 -2.960 -2.276\n 1.594 2.648 3.907 4.438 4.980\n -5.864 -5.209 -4.252 -2.009 -0.422\n -4.404 -2.581 -1.039 -0.104 1.330\n 7.985 9.124 10.177 10.786 11.697\n -0.734 0.353 1.408 2.927 3.614\n -8.469 -7.410 -6.874 -6.216 -5.581\n -2.792 -1.384 -0.913 -0.152 2.217\n -3.425 -2.885 -2.484 -2.080 -1.516\n -4.784 -3.637 -3.164 -2.441 -1.531\n -6.300 -5.690 -5.270 -4.536 -3.494\n -2.560 -1.485 -1.246 -0.925 -0.372\n -4.163 -1.971 -1.254 -0.859 0.184\n -7.102 -6.364 -5.634 -5.275 -4.674\n 3.663 4.727 5.342 6.129 7.053\n -2.817 -1.941 -1.517 -1.019 -0.248\n -0.174 1.639 2.219 2.825 3.601\n -1.067 -0.314 0.787 1.636 2.369\n 2.920 5.258 5.964 6.498 7.208\n 0.838 1.360 2.059 2.667 3.393\n -2.203 -0.429 0.238 0.594 1.279\n -7.909 -6.244 -5.374 -4.265 -2.736\n 10.688 11.304 11.623 11.975 12.533\n 1.207 1.980 2.385 2.800 3.582\n 3.557 4.598 5.060 5.658 6.413\n -6.514 -5.266 -5.004 -4.672 -4.256\n 8.682 9.421 10.207 11.817 12.974\n 2.618 3.662 4.649 5.469 6.454\n -5.909 -5.449 -5.200 -4.944 -4.192\n -6.437 -5.497 -4.796 -2.890 -1.527\n -5.879 -4.072 -2.409 -1.848 -0.831\n -0.879 1.696 2.455 2.865 4.875\n 5.585 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-0.210\n 0.025 2.955 5.856 7.551 8.454\n -10.783 -9.974 -8.907 -8.432 -7.273\n 4.645 5.247 5.643 6.757 7.854\n -6.462 -5.636 -5.168 -4.812 -3.492\n -2.865 -2.227 -1.602 -0.764 0.544\n 0.512 1.558 1.860 2.270 2.962\n 5.316 6.022 6.517 7.071 7.591\n 3.229 3.639 3.992 4.377 4.892\n 1.061 3.859 5.479 6.201 7.011\n -7.137 -4.991 -4.169 -3.597 -2.692\n 5.111 5.862 6.809 7.130 7.646\n -10.001 -8.917 -8.333 -7.736 -5.944\n -14.615 -14.148 -12.560 -11.599 -10.300\n -12.402 -11.851 -11.146 -10.512 -9.354\n -2.679 -1.507 0.585 1.444 2.141\n -8.470 -7.669 -4.564 -3.316 -2.579\n -7.641 -6.451 -5.168 -4.139 -3.600\n -8.422 -5.504 -3.143 -2.068 -1.314\n -4.437 -3.535 -2.703 -1.961 -1.499\n -3.472 -2.020 -0.409 0.646 1.374\n -0.335 1.332 1.916 2.933 5.312\n -7.132 -6.224 -5.595 -4.601 -2.482\n -3.041 -1.554 -0.412 0.088 0.624\n 13.367 13.958 14.669 15.507 16.162\n -3.960 -3.402 -3.055 -2.556 -2.003\n -2.448 -1.094 0.110 0.785 1.339\n -4.685 -3.529 -2.895 -2.461 -2.019\n -0.582 0.513 2.030 3.026 4.444\n 2.398 3.736 4.640 5.086 5.803\n 5.557 6.652 7.064 7.525 8.056\n -1.891 -0.434 0.081 1.738 2.770\n -2.853 0.409 1.228 1.728 3.060\n -3.464 -2.513 -2.125 -1.490 0.121\n -8.789 -8.109 -6.567 -5.074 -3.053\n -3.703 -2.566 -0.642 0.517 1.618\n 0.074 0.711 1.689 2.357 3.802\n -11.999 -11.103 -10.050 -9.026 -8.039\n -7.570 -6.723 -6.185 -5.107 -4.097\n 0.336 4.511 6.524 7.502 8.053\n -8.192 -6.969 -6.481 -6.058 -5.261\n -15.625 -14.494 -13.682 -12.969 -9.459\n 6.859 7.415 7.966 8.683 9.336\n 3.143 4.494 5.631 6.274 7.046\n -2.341 -1.625 -1.035 -0.496 0.394\n -7.124 -6.450 -6.032 -5.370 -4.169\n -9.530 -8.933 -8.549 -7.700 -7.218\n 6.886 7.488 7.958 8.610 9.568\n -4.692 -3.674 -2.854 -2.397 -1.186\n 11.742 12.304 14.364 15.241 16.093\n 3.553 4.132 4.400 4.842 6.373\n 2.730 3.477 4.293 5.320 5.691\n -7.212 -6.216 -5.600 -4.989 -3.885\n -0.663 0.756 1.364 1.623 2.252\n -7.519 -6.400 -5.990 -5.346 -4.642\n -2.317 -1.477 -0.821 1.430 2.366\n -6.695 -5.987 -4.801 -3.745 -2.753\n -6.396 -5.248 -3.552 -2.017 -0.937\n -7.382 -6.015 -5.332 -4.623 -3.724\n -3.729 -2.207 -1.704 -1.337 -0.696\n 2.977 5.940 6.378 6.888 7.677\n -5.397 -5.001 -4.716 -4.243 -2.837\n 3.737 4.746 5.132 5.390 5.921\n -0.525 0.595 0.962 1.393 1.997\n -2.109 -0.699 0.469 1.284 2.227\n -6.981 -6.034 -5.213 -4.582 -2.877\n -2.140 -0.104 0.877 2.168 3.261\n -1.352 -0.698 -0.263 0.357 0.957\n 5.610 6.333 6.763 7.785 9.017\n -0.175 0.849 1.809 2.351 3.836\n -4.502 -3.902 -3.345 -2.982 -2.088\n 2.505 3.479 4.147 6.219 7.392\n 3.829 4.440 4.741 5.103 6.283\n -7.456 -6.481 -5.907 -5.159 -4.060\n -11.555 -9.850 -8.475 -7.857 -5.358\n -5.166 -3.522 -2.644 -2.084 -1.586\n -3.803 -3.109 -2.042 -1.363 -0.465\n 0.336 1.493 2.201 2.981 4.149\n -5.873 -5.126 -4.566 -3.765 -2.680\n -2.865 -2.163 -0.423 1.123 2.317\n 0.071 1.051 1.562 1.889 2.565\n -1.531 -0.676 0.052 0.806 1.558\n -5.012 -2.988 -1.231 0.235 0.943\n -8.316 -7.031 -6.208 -5.677 -4.480\n -9.948 -9.119 -7.951 -6.533 -5.290\n -5.559 -4.781 -4.010 -2.758 -2.098\n 1.322 2.523 3.047 3.598 4.186\n -0.248 1.063 1.734 2.250 2.799\n -13.568 -12.710 -10.982 -9.236 -7.028\n -7.080 -5.482 -4.842 -4.421 -3.241\n -5.793 -5.075 -4.775 -4.468 -3.780\n 1.739 3.929 5.852 7.761 8.741\n 3.263 4.200 4.556 5.519 7.153\n -3.110 -2.548 -2.141 -1.606 -0.949\n 0.431 1.098 2.200 3.406 4.140\n -4.594 -3.614 -1.190 -0.698 0.720\n -9.310 -8.651 -8.374 -7.951 -5.661\n -4.404 -2.640 -1.297 -0.404 1.575\n -8.084 -6.653 -5.309 -4.801 -4.150\n -1.611 -1.226 -0.728 0.185 0.867\n 1.233 1.810 3.432 4.004 4.753\n 12.954 13.834 14.226 15.151 15.773\n -4.622 -3.718 -3.065 -0.129 0.613\n -11.973 -9.537 -7.891 -7.219 -6.636\n -0.556 0.265 0.980 2.604 3.094\n -2.739 -1.875 -1.451 -0.749 0.012\n 2.687 3.974 4.536 4.981 6.500\n 7.262 7.858 8.307 8.629 9.326\n 3.457 4.546 5.624 6.756 8.563\n 2.828 3.403 5.103 6.449 7.411\n 1.814 2.451 3.040 3.613 4.067\n 1.861 3.337 5.264 6.078 6.722\n -0.484 1.257 1.541 1.972 3.554\n -8.519 -7.570 -6.860 -6.136 -4.186\n -4.387 -2.839 -2.319 -1.160 -0.121\n -3.938 -2.973 -2.073 -1.217 -0.356\n 4.525 5.337 5.749 6.013 6.498\n -6.362 -5.912 -4.878 -4.334 -3.976\n -3.908 -3.096 -2.786 -2.475 -1.638\n -2.205 -1.639 -1.081 0.181 0.796\n -0.738 0.343 1.011 1.422 2.643\n 5.588 7.322 7.916 9.093 10.453\n -3.866 -2.996 -2.234 -1.689 -1.013\n -4.415 -3.678 -3.126 -2.068 -0.807\n -13.408 -10.134 -7.935 -5.803 -3.628\n -2.435 -1.888 -0.708 -0.003 1.004\n -5.345 -4.119 -1.830 0.636 1.862\n 2.546 3.336 4.195 5.123 6.142\n -1.118 -0.600 -0.283 0.286 0.882\n 0.255 1.233 1.797 2.646 4.780\n 1.948 2.938 3.373 4.172 5.204\n -17.692 -17.338 -17.123 -16.840 -16.028\n -0.731 0.119 0.609 0.909 1.976\n -1.076 0.471 1.786 2.682 3.444\n 3.261 3.870 5.728 7.103 8.138\n 6.435 7.789 8.336 8.805 9.199\n 2.077 2.910 3.749 4.373 5.308\n 2.041 2.947 3.759 4.607 5.481\n -1.197 -0.683 0.027 0.581 2.824\n -0.584 0.389 0.815 1.514 2.952\n -10.076 -9.014 -7.917 -6.327 -5.528\n 1.536 2.843 3.334 3.840 4.559\n 1.369 2.576 5.036 5.596 6.613\n 6.696 7.356 7.708 8.037 8.703\n -12.418 -11.739 -11.239 -10.897 -10.204\n -9.779 -9.210 -8.788 -7.887 -6.177\n -5.643 -5.015 -4.615 -4.104 -3.269\n -9.453 -7.773 -6.057 -5.485 -4.640\n 3.242 3.761 4.047 4.626 5.804\n 1.937 2.994 3.421 3.876 4.290\n 6.021 7.149 8.337 9.917 12.401\n 0.362 1.267 1.956 2.891 3.862\n -11.508 -10.727 -10.362 -9.448 -6.681\n 4.033 4.835 5.445 5.800 6.310\n -3.912 -2.649 -1.261 -0.121 0.804\n -6.478 -5.802 -5.031 -4.305 -3.307\n -1.514 -0.731 -0.060 0.530 2.459\n 3.195 3.663 4.163 4.821 5.559\n -0.096 1.148 1.754 2.209 2.738\n 0.052 0.685 1.038 1.309 1.927\n 7.133 9.263 10.202 11.006 12.152\n -2.836 -2.365 -1.841 -1.339 -0.906\n -3.068 -2.615 -1.631 -0.878 0.517\n 0.648 1.333 2.089 3.142 3.696\n -0.793 0.099 0.782 1.274 1.849\n -3.547 -2.418 -1.041 -0.077 1.413\n 7.275 7.957 8.557 10.084 11.616\n -6.990 -6.046 -5.430 -5.166 -4.087\n -5.045 -4.112 -3.121 -2.717 -1.388\n -13.505 -12.963 -12.079 -11.247 -9.720\n 4.841 5.727 6.549 7.133 7.675\n -1.701 -0.852 0.656 3.116 3.995\n 5.699 7.103 8.004 8.320 8.955\n -7.425 -5.389 -3.633 -2.794 -1.669\n 7.186 9.473 10.110 10.829 15.067\n -0.255 2.026 2.381 2.664 3.564\n -4.252 -3.575 -2.856 -2.561 -2.065\n -9.739 -9.117 -8.759 -8.302 -7.451\n 1.324 1.804 2.425 3.172 3.899\n -1.686 -0.845 0.320 1.237 2.118\n -6.668 -5.600 -5.071 -4.534 -2.786\n -7.380 -5.705 -5.195 -4.623 -4.042\n -1.902 -1.503 -1.182 -0.886 -0.117\n -5.869 -5.261 -4.148 -1.925 -0.243\n 4.844 5.928 6.285 7.041 8.633\n -5.250 -4.118 -2.602 -1.945 -1.083\n 6.555 8.053 8.416 8.752 9.921\n -0.350 0.577 1.030 1.420 1.969\n -3.993 -2.813 -1.949 -1.185 -0.208\n 8.645 9.149 9.567 10.103 10.581\n 3.406 4.725 5.717 6.423 7.476\n -1.926 -1.117 -0.480 0.314 1.681\n -0.182 1.629 2.564 3.899 5.109\n -4.779 -3.903 -2.485 -1.921 -1.180\n -6.585 -5.741 -5.285 -4.523 -3.852\n 5.754 6.502 6.967 7.459 7.980\n 3.906 5.647 6.342 6.882 7.449\n -6.946 -6.339 -5.510 -3.051 -1.391\n 3.454 4.502 5.274 6.305 7.471\n -6.420 -5.908 -5.303 -4.813 -4.126\n -8.278 -6.109 -3.445 -2.367 -1.056\n 0.634 1.384 1.957 2.519 3.318\n 0.656 2.112 2.915 3.328 4.868\n -6.600 -6.256 -5.928 -5.096 -4.316\n -2.645 1.107 5.044 5.638 7.380\n -2.638 -2.163 -1.605 -0.633 0.408\n -8.327 -7.705 -6.254 -5.540 -4.917\n -6.297 -5.691 -4.975 -3.945 -3.263\n 7.501 7.951 8.496 9.319 10.812\n -1.728 -1.204 -0.802 -0.428 0.141\n -8.789 -7.879 -6.530 -5.120 -4.324\n -15.788 -15.218 -14.617 -13.836 -13.010\n -8.711 -7.434 -6.323 -5.319 -4.172\n -0.248 0.132 0.501 0.902 1.891\n 9.591 10.100 10.690 11.247 11.874\n -8.425 -6.894 -6.036 -5.477 -4.401\n -10.203 -6.912 -5.747 -4.988 -2.983\n -4.303 -3.794 -3.380 -2.865 -2.141\n -0.551 1.504 2.040 2.716 3.807\n 7.288 7.957 8.409 8.997 10.668\n -7.118 -5.181 -3.544 -2.883 -2.112\n 12.428 13.062 13.686 14.416 15.192\n -11.922 -10.006 -9.267 -8.154 -4.248\n -6.050 -4.828 -4.092 -3.550 -2.778\n -11.644 -10.933 -9.502 -7.146 -4.977\n -1.829 -1.183 -0.591 0.242 0.672\n -0.900 0.035 0.866 2.015 4.558\n -12.494 -11.959 -11.492 -10.986 -10.196\n -4.207 -3.629 -3.230 -2.819 -2.490\n 2.911 5.192 5.600 6.475 7.783\n 1.464 2.127 4.485 5.333 6.243\n -5.368 -4.991 -4.502 -3.940 -1.926\n 0.696 1.167 1.486 1.816 2.764\n 2.850 3.476 4.133 4.639 5.847\n -9.368 -7.600 -6.260 -5.229 -4.534\n 8.757 9.909 10.512 11.525 12.535\n 5.203 7.030 7.452 8.049 8.500\n -0.543 0.756 1.516 2.316 3.146\n 1.766 3.117 3.881 4.351 5.244\n 3.270 3.927 4.693 5.200 5.658\n 0.823 1.533 2.668 3.167 4.419\n -0.293 0.594 1.338 2.446 3.641\n -5.174 -4.182 -3.761 -3.032 -0.371\n -0.365 0.663 1.561 2.282 4.003\n -6.699 -5.875 -4.921 -4.340 -2.840\n -8.394 -6.987 -2.577 -1.396 -0.662\n 2.185 3.042 3.528 4.320 5.066\n -3.009 -1.788 -0.126 0.779 1.615\n -6.148 -5.106 -3.494 -2.214 -1.501\n -7.846 -6.751 -6.171 -3.385 -1.618\n -2.963 -2.476 -1.816 -1.013 -0.006\n 1.233 2.039 2.666 3.336 4.318\n -3.877 -2.801 -2.248 -1.774 -0.581\n 1.701 2.370 2.835 3.279 3.880\n 0.173 1.827 2.588 3.264 4.599\n -5.936 -4.668 -2.851 -1.200 -0.166\n 3.772 4.795 6.115 8.652 9.768\n 2.707 4.253 6.729 7.839 9.420\n 1.202 2.584 3.415 4.118 5.157\n -1.810 -0.662 -0.179 0.054 1.086\n 0.847 2.816 3.592 3.928 4.336\n -7.373 -5.754 -4.847 -4.243 -2.274\n 5.794 6.334 6.661 7.218 8.114\n -2.582 -1.333 -0.610 0.430 1.707\n -0.984 0.727 1.363 1.998 3.325\n -0.393 0.718 1.252 1.616 2.633\n -2.230 -1.536 -1.166 -0.892 -0.370\n 0.581 1.490 2.145 2.916 4.253\n -6.201 -5.346 -4.797 -3.077 -1.530\n -0.167 0.573 2.330 4.347 5.333\n 2.842 3.429 4.075 4.618 5.261\n 0.729 2.336 4.716 6.017 6.950\n -4.323 -3.111 -2.030 -1.397 -0.035\n -2.162 -1.126 0.549 2.336 3.633\n -2.731 -0.503 0.245 0.818 1.840\n -3.756 -3.262 -0.738 0.221 1.004\n 3.231 4.349 4.615 5.173 5.700\n -4.535 -3.791 -3.380 -2.922 -1.823\n -3.596 -2.800 -2.450 -1.880 -1.241\n 16.742 17.713 18.535 19.043 19.823\n 6.002 7.704 8.722 9.460 10.223\n -6.041 -5.459 -5.100 -4.552 -3.293\n 5.177 6.958 8.138 8.911 10.251\n -3.965 -2.838 -1.979 -1.488 -0.889\n -3.749 -2.859 -2.460 -1.769 -0.603\n -5.520 -4.724 -4.198 -3.515 -2.164\n -0.874 0.096 0.869 1.886 2.472\n -9.690 -8.070 -7.346 -6.108 -5.478\n 4.270 5.098 7.313 7.643 9.058\n -2.868 -1.802 -0.048 1.076 2.960\n 2.665 3.846 4.773 6.258 7.721\n -9.064 -7.872 -7.025 -6.045 -2.530\n 1.867 2.892 3.409 3.973 4.875\n 3.259 3.795 4.032 4.259 4.878\n -7.442 -6.502 -5.639 -5.030 -4.346\n 4.451 5.016 5.524 6.231 7.751\n -10.066 -9.248 -8.814 -7.977 -7.283\n -1.652 -0.330 0.275 0.711 1.502\n -2.526 -1.774 -1.272 -0.735 0.697\n 3.634 4.395 5.848 6.858 7.663\n -1.028 -0.118 0.326 0.996 2.127\n 3.890 4.886 5.628 7.709 8.760\n -0.099 0.311 0.949 1.372 1.837\n -6.704 -4.883 -4.278 -3.559 -1.594\n -6.191 -5.633 -5.213 -4.621 -4.059\n -4.162 -2.712 -2.175 -1.672 -0.953\n -6.011 -5.409 -4.572 -3.946 -3.262\n -0.800 0.150 1.710 2.338 3.880\n -3.348 -2.566 -2.006 -1.248 -0.427\n -5.781 -4.742 -3.786 -3.496 -2.864\n -1.233 -0.539 -0.301 0.085 1.349\n -1.630 -1.020 -0.528 0.110 1.042\n -7.431 -6.088 -5.510 -5.055 -4.387\n -5.401 -4.185 -3.724 -3.381 -2.813\n 3.840 4.567 5.551 5.849 6.514\n -4.788 -3.385 -2.620 -2.129 -1.168\n -3.445 -2.329 -1.592 -1.229 -0.678\n -2.390 -1.892 -1.410 -0.988 -0.584\n\n",
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