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@benbovy
Created April 3, 2015 12:34
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NA vs emcee samplers
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{"metadata": {"kernelspec": {"name": "pygchem_py27", "display_name": "PyGChem (py27)", "language": "python"}, "language_info": {"version": "2.7.8", "name": "python"}}, "cells": [{"cell_type": "markdown", "source": "# Comparison of the NA Sampler and the emcee sampler for highly correlated likelihoods\n\nWe compare here two different Markov-Chain Monte-Carlo (MCMC) samplers.\n\nThe first sampler is the Neighborhood Algorithm (NA) presented in [Sambridge, 1999](http://gji.oxfordjournals.org/content/138/2/479.abstract). We use a Python implementation of this sampler, taken from this [cosmogenic](https://github.com/zploskey/cosmogenic) package.\n\nThe second sampler is the Affine Invariant MCMC Ensemble sampler implemented in the [emcee](http://dan.iel.fm/emcee/current/) package.", "metadata": {}}, {"outputs": [], "cell_type": "code", "metadata": {"collapsed": true, "trusted": true}, "source": "import numpy as np\nimport pymc\nimport emcee\n\nimport seaborn as sns\nimport matplotlib.pyplot as plt\n\nimport na\n\n%matplotlib inline", "execution_count": 1}, {"cell_type": "markdown", "source": "## The likelihood\n\nWe compare the two samplers using a highly correlated gaussian defined in a 2-d search space as the likelihood. The corresponding misfit function would correspond to the negative of the logarithm of this gaussian.", "metadata": {}}, {"outputs": [], "cell_type": "code", "metadata": {"collapsed": false, "trusted": true}, "source": "means = 5, 5\nstds = 2, 2.5\ncorr = 0.99\n\ndef bivariate_gaussian(x, y):\n \"\"\"bivariate gaussian-like.\"\"\"\n global means, stds, corr\n \n mean_x, mean_y = means\n std_x, std_y = stds\n \n x_part = (x - mean_x)**2 / std_x**2\n y_part = (y - mean_y)**2 / std_y**2\n corr_part = (2 * corr * (x - mean_x) * (y - mean_y)) / (std_x * std_y)\n \n return np.exp(- 1. * (x_part - corr_part + y_part) / (2 * (1 - corr**2)))\n", "execution_count": 2}, {"cell_type": "markdown", "source": "Plot the gaussian in the 2-d space.", "metadata": {}}, {"outputs": [{"metadata": {}, "data": {"text/plain": "<matplotlib.colorbar.Colorbar instance at 0x7fb1046af2d8>"}, "output_type": "execute_result", "execution_count": 3}, {"metadata": {}, "data": {"text/plain": "<matplotlib.figure.Figure at 0x7fb1047f07d0>", "image/png": 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3797N5EgsIrl9+3ZIwhcVHmpYlXQi1deHFhIRkYrQQiLSobLCw3irbzw2F7KF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\nu1Whx91919bWQs1IPHvd8iL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Om2jGiIhUwKvA0865e8e3n3fOPQeMe+9fPuvB+orahVyw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\nrfABeCAPOgAAAABJRU5ErkJggg==\n"}, "output_type": "display_data"}], "cell_type": "code", "metadata": {"collapsed": false, "trusted": true}, "source": "X, Y = np.meshgrid(np.linspace(0, 10, 200),\n np.linspace(0, 10, 200))\n\nZ = bivariate_gaussian(X, Y)\n\nfig, ax = plt.subplots(figsize=(7, 7))\ns = ax.pcolormesh(X, Y, Z)\nplt.colorbar(s)", "execution_count": 3}, {"cell_type": "markdown", "source": "## the Neighborhood Algorithm (NA)\n\nIn the cell below, we setup and run the NA sampling. The chosen parameters are the same than the setup chosen for the inversion ensemble presented in my thesis. ", "metadata": {}}, {"outputs": [{"name": "stdout", "text": "Min: 0.433, iter 1, 1025 models\nMin: 0.1587, iter 2, 1121 models\nMin: 0.08978, iter 3, 1217 models\nMin: 0.05469, iter 4, 1313 models\nMin: 0.03381, iter 5, 1409 models\nMin: 0.007688, iter 6, 1505 models\nMin: 0.006263, iter 7, 1601 models\nMin: 0.002043, iter 8, 1697 models\nMin: 0.001113, iter 9, 1793 models\nMin: 0.000708, iter 10, 1889 models\nMin: 0.0006836, iter 11, 1985 models\nMin: 0.0001953, iter 12, 2081 models\nMin: 0.0001953, iter 13, 2177 models\nMin: 0.0001953, iter 14, 2273 models\nMin: 0.0001953, iter 15, 2369 models\nMin: 0.0001953, iter 16, 2465 models\nMin: 0.0001953, iter 17, 2561 models\nMin: 9.053e-05, iter 18, 2657 models\nMin: 9.053e-05, iter 19, 2753 models\nMin: 9.053e-05, iter 20, 2849 models\nMin: 9.053e-05, iter 21, 2945 models\nMin: 9.053e-05, iter 22, 3041 models\nMin: 9.053e-05, iter 23, 3137 models\nMin: 9.053e-05, iter 24, 3233 models\nMin: 6.771e-05, iter 25, 3329 models\nMin: 6.771e-05, iter 26, 3425 models\nMin: 6.328e-05, iter 27, 3521 models\nMin: 2.431e-05, iter 28, 3617 models\nMin: 2.431e-05, iter 29, 3713 models\nMin: 2.431e-05, iter 30, 3809 models\nMin: 2.431e-05, iter 31, 3905 models\nMin: 1.411e-05, iter 32, 4001 models\nMin: 1.411e-05, iter 33, 4097 models\nMin: 1.411e-05, iter 34, 4193 models\nMin: 6.533e-06, iter 35, 4289 models\nMin: 6.533e-06, iter 36, 4385 models\nMin: 6.533e-06, iter 37, 4481 models\nMin: 6.533e-06, iter 38, 4577 models\nMin: 6.533e-06, iter 39, 4673 models\nMin: 6.533e-06, iter 40, 4769 models\nMin: 6.533e-06, iter 41, 4865 models\nMin: 4.174e-06, iter 42, 4961 models\nMin: 4.174e-06, iter 43, 5057 models\nMin: 4.174e-06, iter 44, 5153 models\nMin: 1.563e-06, iter 45, 5249 models\nMin: 1.563e-06, iter 46, 5345 models\nMin: 1.563e-06, iter 47, 5441 models\nMin: 1.563e-06, iter 48, 5537 models\nMin: 1.563e-06, iter 49, 5633 models\nMin: 1.563e-06, iter 50, 5729 models\nMin: 1.126e-06, iter 51, 5825 models\nEnd time: Fri Apr 3 14:36:37 2015\nInversion took 0 minutes and 2.61 seconds.\n", "output_type": "stream"}, {"metadata": {}, "data": {"text/plain": "True"}, "output_type": "execute_result", "execution_count": 4}], "cell_type": "code", "metadata": {"collapsed": false, "trusted": true}, "source": "x_search_range = (0, 10)\ny_search_range = (0, 10)\n\nni = 1024 # nb. of initial models uniformly generated\nns = 96 # nb. of models generated at each iteration\nnr = 32 # nb. of Voronoi cells resampled at each iteration\nniter = 50 # nb. of iterations\nne = ni + (niter * ns) # total nb. of models generated\n\n\nlo_lim, hi_lim = zip(x_search_range, y_search_range)\n\nna_spl = na.NASampler(lambda (x, y): -np.log(bivariate_gaussian(x, y)),\n n_initial=ni, ns=ns, nr=nr, ne=ne,\n lo_lim=lo_lim, hi_lim=hi_lim,\n d=2)\n\nna_spl.generate_ensemble()", "execution_count": 4}, {"cell_type": "markdown", "source": "Plot the inversion ensemble.", "metadata": {}}, {"outputs": [{"metadata": {}, "data": {"text/plain": "<matplotlib.figure.Figure at 0x7fb1047f06d0>", "image/png": 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1/CF/9mdGuuP+moFjrea9NEKj0RDDYR/RaBSDQR/VavnVrgeapnF6eoHxeAyb\nzfVqd8gqFEVBo1EHQRAIBIJrb6MjkRiur29gNpuhKBJYlkOv112KZX355Zdrq06/hnA4guvra/h8\nXgiCYFhB63Q6xe1tARxnBkEQ8Hh8kCQJo9F05xXyonindqGq6kaitqIoLClnLLLOHmK12lCv1xAM\najVl5XL5VTug+zgcTsNT942gXC7i7OxUT24pFPKQZdfBTPKqqiwtNNxuNyaT8V6TYIzh6I7bG71e\nF5eXWqqsz+fHaDRZ2iFsi9aQbLcuOFmWcXubw8XFBRRFQTabwdnZekaDoiicnp4vuQ21Wpwz/fxD\noRDG49HOVRVIksTZ2SUmkwlsNg5e7+uNdqvVhCiaEY9Hkc2m0W634fV6QVHUXvzdHo9/Xq/DQBCE\nRw0GZVlGrVYBgEeN62KxhK6csSrrzOVyzzu35qAoMgKB8EaTsaIoaDaboCjqTdoubMv97Eq73Y7p\ndLrzZ219iKWsx35/AJ/v5RIAWZYB4GCM6dEdt0coatnY0DS5N8n+16YMV6sVJJNJ3WBeXJyjWq2t\nFYdZcH9CfpzBNQHH7W8F91T8R1EUTCYTmM3mjQRdBWGGSOQcw+EMJycJpFLXEAQe/f7AsN3CKlYl\nl6iqitvbnH7tarUqer2uHifZRBBX69y6OYsFzNnZGSRJMlSZY5dQFK0rMgBAr9dDLHb6tid1j0gk\ninw+D5OJgaIosFis+n2rqU/kwTAmSJIIt9sLm82OYrEAs1lbeE2ns4PQsfv8888MHO23n/1LMpkk\nAfw9AN8CwAP47VQqlbn3998C8F8AmAH4x6lU6n9YdaT30ggxjBnNZgN+fwCCIGA0msDn2/1qZDwe\nYza7SxkuFG5BUfRGgfhOpw2WpeY3sw00Tb+qniYUiiCVukYwGMB0OgHPi/B4jIvNbMpoNEKv14bb\n7Uar1QDDmOD1rrdiv7+Ttdsd8Hg8sFqdeuvnVfR6XYzHQ1AUDZ7nEY8nttoZ1+tVKIq8OCM9tjIe\njxAMBvUxQ6EwstncXoP11WoFH3zwgb7giMdjaDabLwqKvjXhcATlchGAClmW4fH4d97/ZzabQRQF\n2Gz2tXbRzxmRUukW5+fnulG6ubnBZDJFJBLWFyyTyWTJxfo14C8DMKVSqR8mk8kfAPjd+e+QTCa9\nAP4bAN8B0AfwfyWTyf87lUp9/txg76UR8vl86PW6yGSyj+podslTKcNaIHi9VXqxWMDV1TsoioTx\neAhBENC54znKAAAgAElEQVRoNDau27gPwzBIJM4wGg3BcY43NUAA0Ou1cXl5CUBLdlikHa+DJMmY\nTCYASAwGAwDkWoWhqqpiPB7g4kI7rizLyGZzG/c06vW6c9eib/66d88lSGM2Gy39/8IdsynlchEk\nSczPnVi7hTZBLO+CF9pw7wP7FMCtVstgGBocZ0E+n0E0erK1bBBNU0u7eYvFjPF4Aqv17ppxHAdR\nrL36vF/Ld7/7vX0d6jcA/DMASKVSP0omk/cPfAHgi1Qq1QOAZDL5xwD+PICvlhECNk8ZlWUZlUoJ\nNE2trF5fBcMsS7FskjKsdWGkQFEkKMoEkiRxfZ3GN7/58at9ygRBHEwQ9aFK8CaqwbHYCfr9Pur1\nLkwmdu3JWRCEJTcaRVGg6c2/09FoqMcaAa1Is9XKAtCKjzudFlqtJiwWDuVyGcHg5hlozWYTgYBP\nv17dbhedTnutBmcejw/ZbBbn51pcMJvNPruAEUURtVpl3orD/F7Fjx7S7XYwm83g8/lfzPwURREU\nRSIS0a6N0+naakGyQJLkpSzQ2YyHz+dHsVhEPK4Z1nK5fBDp659//mMDR/sPVv3RAWBw77WcTCbJ\nVCqlALgB8GEymQwAGAH4lwD8k1WDvbdGaFNKpQLevXsHkiQxmUxQqZTXmuR4nsdoNILD4UAwGEKh\nkIPdrk14o9FkbV/wbDZDv9/D6WkCgiBgPJbg8/n22gRvOBxgNBrC5fK8WFu0aEOgKAo4zrZ2wzpV\n1dyWVqsVsixvrHAdDodB05sFrFmWRaNRRWjuDeF5Hqq6eSKD0+lCvV7DeDyG2WxCv9+Hqt4Zs2g0\njtFoiF5viGj0ZKPFgyiKIAgCPD+D3X5nvNxuN9rt9XaL2jXz6UWjsVjiyXNQVRXl8i2SySQIgkCr\n1USr1Xq1IVIUBdVqGQQBmEyWvRi2fD4HjjPD4bAhn88gEomvLAoXBEGP1QDaAu01rr+FzBHDmCDL\nElwurXGdJIn6dbBabQeSZLG37LgBgPurpoUBQiqV6iaTyf8MwP8KoA3gzwC0Vg32tTBCqqrCbLbo\nNyPHcSCIpxMZJpMJ2u0GaJpBs1lHKBSB1+tBs9mE2WxBInEGQRDm6cN3GTT3RUafot1uwuVy66t2\nLRC6W4WF+9RqVVitZpycxFGtVjGdTp4NkPd63aU2BKVS6cU2BAsikSjq9Srq9QZUVd1bwNbj8SOd\nToOiaMiyvJVIpN3uwM9+9gUuLk5BURRsNgc6nd7SSthms2PT+aZQyMJut0GWFYzHQz2eCWhxnk1W\n0RaL5UXX1ng8ht/v0113Pp/fEK23QiGHd+8uQVEUut3u0ufYBYIggKIIuFxaFmIikUC5XMHZ2fMi\nshzHIZerwOv16QaYZbev9yNJEicnj939Tqfr4Apa9+iO+0MAvwngHyeTyV8H8NPFH5LJJA3ge6lU\n6p9PJpMsgN8H8N+tGuxrYYQIgoAsL9d8SNLTvvR2u4F3794BAEgSsNk4PWsqk8nA5XIv+ZcXci02\nmxXT6RQcZ39y10BRFBKJUzQaddRqdVgsFnDc/nrMa+0ZtAkjFovNYzVPG6HxeLSkhhCJRJDPF2Cx\nrNeWIRjc3NX5WoySTfJ6vUu6aFoN1GzrsWu1Ck5P79p8OBx2FItlDIdafIllua3S6XmehygKsFpt\njwLvJpMJw2FXf62q6tbxqwWiKMLhsOnG2O12o9frr/3+6XQKgiDWKvxdoBn/5V0MQaze1WgdV8+Q\nyWRBURTMZu69dkVugrHZcf/+qj/+bwD+UjKZ/MP56786z4izpVKp30smk3IymfwMgAzg76dSqeyz\nI+FrYoQAgGWtyGaz4DgLBoMh/P7HmSyqqi4VqdI0tfQQLDp4LtorMAyDVquxJNeSyWSeNEIcZ0W1\nqvUYkmUZ19fX8Pv3V9W+bjdSVVVRr9dhtZrnKdYMeJ7fed3RoUBRFEajof55O53uqxJHGo06XC4H\nptMJXC6tOSHHdV/VZ6larcBkomCxcMjns4jFTpZiJSaTCYIgo1QqwmKxoNFoIhbbLiaygKIoCMLy\nQm7dpIh0+ho2GwdVVefirHHYbDb4fMtZfYVCHjw/w2QyBs8L+PDDjzEaTeB0imAYBo1GQ1c1XwVN\n04btwBdJJJIkIRSKGq5gbyT70o5LpVIqgL/x4NfX9/7+dwD8nXXHey+MULVahqoqYJjtu3V6vV6o\nqgeCIMDlenplRBBa0doCnhdBEBM4nW4MhwOoqhYknUyGsFgsGI3GUB5kVz8XiHe53BgM+vjyy2t0\nOg0EgxEUi3kEAuGdqjMskCRJj9W02+1nz7NSKeH73/8U5XIJiiKj2WzDarWv7d5SVa0pm6IocDrd\nB+IrX59gMIxqtYJmszVXKl9f0eIhlUoJJycnEEUBfr8fnU4Lg8FobQXqer02b8F9V4/G8zxMJgrR\nqGbE3G430unMo8B7OByBIAgQBAGJxDl4ngdJklsnwZAkCZKkUKmUYbXa0Gw24fO93Mq+UikjHA6B\nZVmk09dIJq8gyyokSVhKa242G7BYWCiKALudQzDoR6GQgc8XQqfTg6LIcLnce3WBlctFxGJRsCyr\nK+snEodbl/Wd7/zaW5/CVhy8ESoUcjg9TYBlWQyHA303sQ0EQbw44btcHtzcpMEwNERRgqJoWlI0\nbUIkEkW5fKunAgPAH/3RH2I2O4HZbJ7LtcyeHdvhcKLX6+KHP/xz+u8WLSN2TSx2gnq9NncFcggE\nnp5ACIIATdNIJE4BABxnhyCs36CvUMjh/PwMJpMJxWIRiiIfpJTMKozSXVsoWHQ6HZRKJVSrNZyd\nXa7lkrq9zSMej8FisaBWq6LTacPj8UIUBVgsd3VpBEE8a1hMJhNkWUapVIDL5USv14HJxK5dt/WQ\nYDCM2WwGnp8hEomvZdAkSZw3eZRhMjEwm83o9wfweLyo1e7SmrU4lhfNZh3RqBaLdDgUDIc9XF4m\ntzrf10KSd/OFNne8bfnDS/zkJ39m4Gh/1cCxVnPwRohlTUtts1utzk6PpwWen3c9PdxBhMNRVCo1\nEIQKSZJfdHs83M4vRDL3wTrFdBRFYzgc6CvvVqv1SL7mOabTKdxupx4zi8fjyGZzOzNCsiyj1+vB\nbDbvvI3GNizcVR6PBx6PB4IgreXWVBQFZjOrJ4KEQmHkclpigdWqZYm53e61Au8P3cXZ7Pp1W09h\nNps3iut4PL55q/swJEm7Xg6HtptRlLvkIK/Xi1arpe86F7v2TfT7jEYUlxdfkvR257IOx1YOO0J5\n4O966+K82Wym69T1+z3U63Ukk99Yu53CfXcfsCyaeQgEgyFUqxW0Wm0oigKXy4NqtazL3LvdPoxG\nI4iiAJfLtTSpkiT56HrtSk5pOp2i1aojEolgNBqiWu1vtYNpNOqQJBGqqiISiRn6INtsDuRyOXg8\nHvR6fbDsesoaBEEsTdDA3fdIEARisQTS6QwoigLLWlYqUj+sl6JpZknmadfYbDYoioxyuYrBYASC\noGA2C6hWq4hE7rL87HYHZjMelUoJAAGfzw9RFN909xEMhpFKpWCxWCAIAmy2w6jFe45vf/u7b30K\nW3HwRshkMqNUKsLt1tKk3/pGiMcTyGSyGA4HMJlofPrp915Meb5POBzF9bUmkimKot52+ZC4P5mX\nyyXE43ddPv/gD/5ffOc734XVqiVadDqC/rlZlkW9PobdPgLHccjn83C51qsv2pR2u6lnMVqtVtze\n3i6lUt+nVqtAlmWYzdzShF2rVeH1umC3OyBJEtLpjKFabE6nC1arDeOxFgdaN6itZXNquwaSJOad\nTO+C+AzDrF18SRB3iRaKouhZavtkoe59enqG6XSKyWSCi4urR9fK7/fD7/ejXq9hMpnCarUiGn27\nlhQsyyKRON+r0X4Nxrrj/oqBY63m4I2Qz+cHz/Po94fwegNrPcitVgs8PwVNM4brOWntkROoVIo4\nP9cmrJdSnu9jMpkOQuxwXUgSugFSVRVer1t/HQ5HkM1qigILTk5O0Wq10Gg04fUGdpZ08bAAkWHo\nJ41QoZBDIqHF7DqdzlIwXFVl3e1I0/RGbqZ1oWl6q2B6NBrHF1/8GTweD05PT1GtVmGz2db+PrUu\nsTXQNIXr62u4XJ55/dTrsuRei8ViedFrcGgabO+DAQKOO6GdwrLs2g9frVaFy+VALKZ14iyVbrcq\nXHyJdVOe10VVVVSrFaiqApoO41AuzUPZEq2AcPVn3Uddhsl0J2Kr7RoGTwqdsiyrGxePx4N+/662\nRZYPy9V7n36/h2QyqRdq2u12pNOZte5lLUOxjGRSC+hr7sDBq9LCt6Xf76HVaoIgAIfD/bWp2XkL\nvvjiWXm2LfgrBo61msOY6QxEVRX9weU4bisNsXWQJEmXp2+32682QoVCDhcX53N9ugHa7d5BPLDR\naBzpdAYsa5oXPFIYDgdwOJwolUrguLdJwfb5fOh02shkslBV4PT0HO12Gzw/haIo8Hr9sFgsjwzL\n/ZiV2+1FOp2G1+vFcDjaaevw+8xmM7RajfnnCDy5A9MM//Lv112RT6dTeDx3KgxOpxPt9m4Tep5i\nMpnMVUe0nU2r1QLDbLczfA4j+oh9VXhPNmyP+MoZoVWTjpEsUp4lqQaLhXuVC2FRjb5wNQYCAVSr\nvzLqVF8FSZKPVMo1d1sLbrf3TbPStFiU5grsdjswmUhEo9q5ptNphEJRUBQz3x27UavVl2KKVqsV\nFosF4/EIbrd3L4WIPM+j1arrSuPpdHpeOL2cNed2e5DPZ3B1pcVOcrn142ssy6LZ7GHR4cEIxYRt\naLUaCAbvSgF8Ph9arY4hRojnedRq5XnSAA+bzbkzEdFKpQSCIOYdWLmt+0HtmqM77kCwWKy4vS0i\nGAyg02nvdHV73/AoioJisaDvGDYR/SRJ8pGM0MJ43ldnOBSM2KFVqxUA6ryJ2Osf7Mlk/EhqqNPp\nIRgMYTweo9Fow+32PnLrkiS5VwXyZrOOi4s77bOLiwtkMlnEYsvfqdai5Bz5fAEAwHE2tNtNDAaa\nll00Gn92Z0RRFCiKRjabA8syGA5Hr1J92Bar1Y7hcAiHQ/t+Z7OpYTHCRqOKq6t3+ut0OrMTI6TF\nEP2wWrUd/+1tETzPv/g5ZFmeN74zQ5Yl2GyOnRfafvHFTwwc7d8zcKzVfOWMkMfjxWw2Q63WhM1m\ng9u9n5V6pVLC5eWFHi/JZrWHYt223bKsoNlswG53oNmswO32ol6vQVFksCyDwWCIePz0YFoJv4ZG\nowGPx6VLsBSLRcxms7USAyqVsl6T5fX69YaCqoql2NVoNNTHs1q1Tpm9XhdWq/VNJYgoilpaVEiS\n9Ow1JUlSFystFLJ6jEcQBBSLpZVCpn5/QN8Beb0vKxvsAq/Xi3y+j0qlApIkQBAkLi6uXn7jGjwU\nC6bp3SzSJEnUDRAA+HxedDr9F41QpVJCMnmlP//pdPrgBE8Pha+cEQI2L6gzgoeSKFarFTzPr30e\n4XAUo9EQjUYbV1cnaDQGoCjoygWhkIJsNveqJIvRaIjhcAiXy712XdMuEEUeTuddanogEECt1oDZ\nvNqlWatV5qtSbWFxfX2NePwUBEEgGo3h+voGbrcToihBkmSEw9pOdDDoYzIZIxIJo9/voVarbtVP\nyghCoQhubtKIx7UkgWKxtFIVGtB2w/evl8lk0pvirWKhfvEaVFWFqqpbx11OT89fPcZTyLKq70g0\npZLNWobcRxRF1Os1EIQWo1vWj1xuTd5ut+FwvLzj0vqW3V2jhWrELheRn3zynZ2NvUu+kkbobSCW\nVvODwRCx2J07bp0A6kKtgWEY8PxsaQWmaXdt/xDX6zVYLCbE41FUq1XMZtO13YVGQ9OMXhEPaC3P\n13GJKYqyFINyu11z5XIOBEHg7OwCPM/DbqeXHvbhsK+7wPz+AEajvLEfaAMW59ntaokC5+eXL7zj\nsabhwkW7QJtEq3pzQ6MUKkqlW1AUOT++uHVpAUEQhqc5x2JxlMslEIS2m9y2c6ssy0u9lxYxuoUh\nCgbD8++BgqoqMJksa7kUFUWFKIr6jnc6ne7ci/HTnxrpjvt3DRxrNUcjZBCarlwRJEnqygIEQcwz\ntsZgGBPG4zGi0ZO14jtWqw2lUgFut7bq6nQ03a/naLVamM2msNlsT/rGZVlEIKA9qPF4/Fm1730Q\nDIZQKt2Cpql5x1kWbvfLagKKojxwuU0QCCwbr6cmiIfGmyTJNy1A1HpRbRYDs9kcSKfTc1Xzma42\noHUMLuLqSnP9FItFDIev77TbarXg9Xr0eM5kMlmqsToEFiKur6HRqOHdu3f6vXB5eYl0OotY7M6o\nbeN9iERiKBRudffrU6r9RrPO7vgQORohA3lqNcbzY5yfa6twVVWRyWTWKhgkSRKBQBg3N+l5Swnm\nWdHRSqUMr9eNWCyMdruFRqP+6H8fT8RvG1va5MFWVRWTyUR3ZZnNZiiKBJbl1lpd0rQJ7XYLXq8P\nPM9jNpstGaBisQCGoaEoCliWWymD81Y8186+0+ng5ORE/zzaAiP7aiM0nU4QCt3VXXEch3q9sfV4\ns9kM3W4HNpvtYFrRA9pzcD8upyiKIYsTTV7J+PrEVXzrW9/e6/GM4miEdogkSUsr81WKx09hNpvX\nkmchCFUP8nu9PgwGj7toiuJdXVOn03lzI7Quw+EA/X4XLpcTjYaW3rvpDs7vD+g1RVpzwbuU82q1\njJOTuH6dCoVbCIKw1Ljw0BAEAY1GFRRFYTKZwGYz6zEjo0oSvF4fyuUKYjEtdlev17cOrPf73flC\nyYtms4Zer6vf151OG9NpFyTJ7aWlyUMCgSAymQzOzrSkn0wm82pVe0mSoKrq3jNaf/rTLwwc7d8x\ncKzVHI3QDqFpGqPRWH89nU4B7L6wrtlsAiAgyxJcLg9sNjvi8YRhdU37ZDDo6TU1Pp9/azfi/Zqi\n+6iqsjT5eTxujMfjgzVCqqqiUinhgw+0TLler4fr6xTOz89hMrEol8uGtAbhOA6CwCOXy89fW7fe\nwdRqNb1g1e32zNPzgXw+B7udg93uxfV1FoFAZO/9pxYxumazCVVVkEicvyr2WirdgmW1xJHRaLzX\n/kPvi7zQQ45GaMeEQlHdpaaqBCIR4wVLCYJCu92G1+vFl19+iWg0ovvLb25u9JTkQzA8PM+jXq/M\nu38KCAYjK1fAD3dsRgd3Keph9lMHXu9j+Z+XmE6n4PkZHA7nzir4u90Oer0uJIlHr9eDy+WCy+WC\nzxcAQGEymeH09MKwyWjRRK7RqEEUha3jaA/fs0i0IElNPZuiqHmiQeVNmiASBIFAYHWzzPsqFx6P\nT79f7tPptOH3e/UdI8/zqFYrCIX2I8J6dMcdeRKWZddWPN6WUCiMXq+LdDozzxS6C9ja7ba1ius2\nRZZltFpNMAyzUZBdKzK8qxW5ublZWUgpy7KedSiK4qNWGK8lGAzrCSVa9p1tYzdKtVqB2czoySQv\nGdZtGI2GAGQkk1cYDgeYTseYTEywWCyQZXkntU+KoiCbTePkRIt1ZjI3uLh4t7Eh0po5akZTEHhQ\nlNZOgqKWjTVBHKb8jiAIaDZrump7NpsFSZKPyi9msykCAR+GwyF6vS4IQisrcDr3UxLxs58Z6Y77\ntw0cazVHI/QVYRG4LpWWWxpMJhM4ncYG2gVBQLVawtnZGXiex+1tbm0X0MOiwpcm/FjsBJVKGYBW\na7JN5X+tVoWqynqfnodCntum9wKYp+GSevsLh0PLYjNarbrX6+HyUnPtkCQJlrXgyy9/CYvFujM1\nhGq1jPPzM/1eOjs7RaWyukj2KUwmE4bDEbrdHkwmE66uPgAATCazedM6MxqNhh7XPDSazTuZJQA4\nPz9/lEEHACxrxhdffA6XywWrVUua+fa3v43b26Jez7ZLju64IwfBQ8FRq9Vu+M3ZaNT0lGCTyQRR\nFDEY9NeqTxFFccmts87O5jUuzF6vC7ud01taDwYDNJtN+P2bu9ye4mHyCbCbzENN2HYKi8UCu92B\nwUBTDTeqFflTPKxt02pl1m9SqKoqfvnLn8HhsMNspjEcjpYKcy8vr1AuFyHLMzgcroNtA09RNARB\n0K+zJElPpkPPZhN89NHHyOUy8Hrj6Ha7MJstS/Vsu+Tjjz/Z6fi74r0yQofQXGrhGyZJAna786DS\nTYGF5tjjXYksyxgM+jCbX+7nss4x7l8Hrbh2stZ7w2EtRravpn6j0XBJU87hcKDZbBk2vsViQS5X\nhtfrA0mSaDYbMJmMV+sIBkO4vc3DYjFDVVWI4vYFmgtGI81tZLPZn0z/DoW0flGLvlnZbHajXVep\nVITf79d3uyxrRrlc0ncQizRmv9+OZnMI4DCe8YeEQmFksxlEImEQBIFyuYzT08cqFyRJgWXNsFis\nMJstYNkZgKfr2XbBz3/+UwNH+7cMHGs174URajYbEEUeDMNgPJ7olduyLO81DVIUxSXf8O1tEQRB\nvkkwdRMWrbBDoRBGoyH6/d6rZGucThcKhVskEieQZRmlUunJh/IpGIbZa1M/l8uDWq2q7xja7daS\nEoURnJycIZvNgSQJmM3czlpwnJycQpY1t+Jrkx+azSZomsD5+Rk6nTZqtccBdIZhEIslUCyW0O12\n4HBslqKtPZ93q3+apjGdLsvraO44LYhfqZRgsZghCAIcDtdWgqSqqupqFEaqXZ+dXaDX60JV1WeT\nP1QVGI/HiMXiSKVSGI3GcDgcMJkse9F8PDTjvS4Hb4REUYSiyPpqTJZl/PjHP0YwGILJRKPfHyKR\nONtLT5FWq4mzs7tdxsmJVhi4SyOkGZAGaJqGqj6OZ6zD/VbYdrsd+XzhVX1YtCA4offySSTOD/YB\nsNlsaLVmyGZz8zot+tmi323Rsrv2U5ho1GQmijNEo6cAtMl6MBg++X9aFiOPSCQCs9mMXE6Ldz10\nLdVqVbTbzfl4PoTDEYRCYaTTKUSj2m63Uqng8lJLLR8O+2i1WrBYWPR6NTSbPXzyybf08TKZ7MZG\nSFVV5PMZxGLaM5LLae3ajcwWXEUkEkW9Xp0vFGhcXX1zr72OPvroWy//0wFy8EaI52ew2e70wgRB\ngNNpx+mpFvgNBmX84he/hNXKQVWhNzMzgodtFEwmFtPpFHa7lokkSdLOJ99ms6Znk02nU1SrlY3j\nAA8fBJZlIMvyqx4Qm8128DvABYfQHPDQeCpt+inG4zHMZlbX7IvH46jVqkuxnV6vi263DY9Hq9/q\n97uwWCxwudw4P3+HarUMALi4uNIzytrtNs7OTgEAdrsZxeIfLh2XYTafmqrVMt69e6eLtl5cnKNc\nrhoaN9OKp3twOJxPxrCCwbcRxgWAX/zCSHfcbxk41moO3ghZrTYUi3ldSqXVai5dfJ7noaqSLlCZ\nyaTh94dfXWyoVXKPwHEchsMR/P4QvF4vCoUcPJ4paJpBrVZbyw01Ho/R7bZBEIDT6Vl78uZ5Hk7n\nnS9ZM66bV8SbTKwuW7OqFfZXCVVVUSzmwTAmSJIEl8u9Vfxu0Q7htWrU29BqNSEIM72+zMgFD0nS\n6HTa8Hi86Pf7eC7fQFUf75gfnke329G7GQNaJ9dOpwOXyw2O43Bx8Q4PeZieTVHUkip2tVqHqhJQ\nFBkej3+toL6iqEvXiWEYQ1u2N5sNsCyNy8sLtFrNg9PSAw7TG/ESB2+ECIKAzxdEOp2Zt68loCh3\nfuVMJr10k5+daY3AtnFb3Wc6HePiQkvLDIcxl99PIJE4w3g8hiTJaxUG8jyPfr+Dy0vNWOVyOVAU\ntdZuzWQyod2+C/grivKo+d1Dngrs+nx+tNttZLML99nL6dRaHE4rUAyHo+9dC+VyuYiLi7v+Tjc3\nNxsboYURYFktxXhd8VkjqNdrcDrtcLkiEEUR2Wxureu2LsFgCL1eF9lsDmYz9+zzYrPZUS4XYbPZ\nQdM0arUqvN7lwk673Ylut6UvrsbjMZzO1a4rSZL1UgJJkuB0ulGt1gFoWoiJxAnicc3FmclkwLKx\nF12Rfn9gPh/cda3dNvFlIX90/76XJAHxuDaez+fHcPhYHustObrjdogsSwBU3R1mtdqRTmdAkiR4\nXlxKkZ3NZqCo7SeKWq0CRVHQarVxfn7nT76/wtqkpbXWSfMuO+vs7OzJGoOnIAgt0J3JZEBRNGaz\n2bOFr+PxGJ1OEyzLgud5uN3epQJGbSe5XqD2bgKMQpZl3NykcXq6P/kRI6Co5f5OHGeBJEl6bK1a\nLUNVVbhcnievp6qqEARej0Wqqop0OrPzwuMFiiLpuwuGYfQdwrq7oX6/h9FoCFVVEQyGnzSez4mi\nPuTq6hsolYqQZRl+f/jRTt7n82E0Gs7lorTiVL9/tQLB6ek5isXC3DvA6Qa2UMgiEPDDbGZRKOSR\nSJwiEAig3+89mWjQ6bQxmUxgt9vhdLrg8QSQTmcAAIHA05/7JRYdkgmCwGzG37vmD7/7w9p5/PKX\nP3/rU9iK98II9XpdvHt3Vyx2v8o+HI4inc4gGAxAVWW0Wp2t9ZrK5RLC4SA4joPNZkEmk8bl5TvM\nZrO1hSEVRYGiKLrRYhjTUnM7QRBA05rrYTgcwmazrWx895zm2UM6nbvkA2BZrmdT7k+AFEXBauVe\nlcjwGrZN2ZVlRTc6ADCZTOH1aj/nchlcXWmxg0LhFqqqPPquBEEAx91dF61B3P5EXx/eb4oir/09\nDAZ9SJKA8/MzqKqqN//bNqmBIAh9V/Icp6eb7dIIgtCzJBcp2ovi2NFoBK/Xg/F4jFarCVEUYbE8\nvper1QpcLgcikRCazQaazQb8/oCeJCJJEvr9HjjOurYxajQaiETC+sJEaw3fQCAQAEmS6HQ68Hg8\n6PV6ODQj9L7yXhihh0HK+1X3CwHC4XAAgqBfJRhIkoTue/b5AiiXy8jlclBVYq2ajFqtCkAFw1AY\nDEY4PT1HMBhCPp+F3+8BQKDZbM9lTDrw+33odjsYjYbw+V4Xo9lUiWAVsrw8AYqiuHcDNJ1O0WzW\nwRhicyIAACAASURBVLJaMazTuVlMJxqNI5vNgWEYSJIIt1sz5MPhAKFQUDdOicQJstnsIyPEsiyq\n1bKeyj4aDfeqPO50upHNZuD3BzAY9EHT68c4h8MBzs81o6DV4sTQ6/UOskXFfRYlFy6XG41GAyaT\nCdlsFsFgGB7PY/c1Qah6vy2/P4Bc7s491u/3MB4P4fV60em0QNOmtT6/IMyWdsZWq1V3EwaDYV2N\nnWUtOy0U3oYPP/z4rU9hK94LI8Tzgr4SlyRJry24jxFFo5rbT4MkSTgcLoTDj33l0+kUNE0vTfST\nyQRmM6NPWsGghHz+FrFYHKen53PtL80NocUrNGPJcRyy2eyrz10UBd3HrigKeH57jTW324ubmxv4\n/X6MRsONJsD7jEZDDAZ9OJ3ujVyYANBq1XF1dbezS6fTG13j+yvt5d+TkOXl++eh0V2g7bLToCgK\nBEHuTYgS0GIxZrMFw+EAVqtzo3b1qqou7Vx5fgaTab9tBbZBk52qIBaLwOfzI53OIJn8cKPPvmA0\nGujJSk6nc/6MvWyE3G4vSqWSnuZdLpeXXJbreibeAmPdcf+mgWOtZq9GKJlMkgD+AYAraGlefy2V\nSqVeet+iyt5kYiDLys788i6XNvm63S4Mh2OYzcsTp1aHkIXH48JkImE2E/Qd0mw2Xcpko2ka970n\n91faT3X6fC2xWALZbA40TUGS5FfVrVitVpjNZozHI9jt7q3EOBuNOsxmBqenWguJ6XS6Uar0w52d\nUdlpNpsNt7c5WCzcXO0gN1ehfgzLsoZrwG0CTdNbta0Ih6O4vr5GOByGKAro94d7b7C2DTabHbIs\nI5vNQ1EUeDz+lQZIVQl0u1243W40m42lxdLDXeu6z5jVaoUoCshksvPX708pwr5q9ebz+N8D8C0A\nPIDfTqVSmXt//9cA/G0AKoB/mEql/v6q8fa9E/qXAVhTqdSfSyaTfxHAfw3g31j1hkIhC6uVg9nM\nQpaVnT5MNpsNVqsVk8kEgUDokQ+9Uinj3btLfUJst1u6ZprT6UK1WtKFDtvtFszmp9NKFUVBv9+H\n0+nEdDqFKEpP/t8mkCRpqHGmKOpVWl6SJCAQ0FaT4XBk492eKIpLiQSv2dk95OTkDM1mE81mC8Fg\nZO/Nx3YNRVE4Pb3Q3XjvgwFa4HS61m6eFw5H0Om00W5nYbfbl5IhFt14OY4Dz/MQhMfek+dYN2Hj\n0PjmNz/a16H+MgBTKpX6YTKZ/AGA353/bsHfBfAdAGMAv0wmk/8olUr1nxts30ZoCsCZTCYJAE4A\nK2eWUklTal7U/LTbbb1QDNiN5ScIYoXraLkOwWazo1bT6pYoioLH48fNTRqdThsUReH8/HF9xEL/\nK5PJQBQFBIPhvWVc7ZOHsvwPX6uqqmciOp3uR6vNeDyBXC4/39m9XiftIUYJmB4qBEFs3Qn1fcLj\n8T6ZNReJxHT1AuBp1+xXjV/96hf7OtRvAPhnAJBKpX6UTCa/9+DvIgAXNG8XAW1H9Cz7NkJ/CMAM\n4EtojtXfXPXPsiwvFZ06HA78yZ/8CPH4CWRZ2VrGZlvsdgdqtaoe9ykWiwgG7+IEHMehXpfw3e9+\nFwzD6PI4iwm2Xq8hHo/BYrEgHo9jMOhjOJw+e7x6vQZZlvTPaaTRbbfbmM0mYFnLzhQFBoMBHA4H\nut3uo3MvFHK4uPj/2XvTGNfS9DzsORuXw8N9Z22slbeXOz3T3TPds8lWoHGQyII1zhiBk0CGYguO\nE8MBDMeKICD54T+BY8WGHBiIFSNSZDgypMSBHAOyx9JImp6WutWjnumemXtZxZ3FnYf7dvb8OOSp\nYq2sqkNWVfd9gPuDl6zDQ/Kc732/933e59kBwzA4Pj6GqipzOy+dkWVucC6XS9MSqQaKYkyX73mB\nh4X7VC+4D6xwJ+QC0Dv1WEkkEmQymZw1V38JwHeh74T+72Qy2Tt7gNNYdRD6uwC+k0wmfzGRSKwD\n+L1EIvFqMpm8cEfkdrsxGnURDuuLxYcfPsMXv/h5w3ek3W4DkA2GzLIRDDrRarXQatWgqiqePNmd\nGzrt9/vY3d2Az6f3f54+TSCXyyEY1G+G0aiFUOjkXDnOimKxiGDwPP1UELrY2orA6XRClmXkcrk5\nT5O7oFQqIRLxwOOJo9fTZUg2NszeaTxBvV5Hq1WDw+HA5mbCeG48HmNrK2p8Ty+9tId8Pm98Dxd9\nH3dFo9HA9nYMLpfet6vX67BaNeMxAORyuannkAqHw3Gt2+ZpnPZwui0u+tyapiGTyYCm6Vud12OB\nGb+5oijI5/MGOWdra2vlrM5KpQJRFOH3+8/t7jVNQ61Wg6Zpht25mTB3J/SXrnqyB+D0D2YEoEQi\nsQngbwLYAjAC8M8TicQ3ksnkb112sFUHIQdOImgbAAPg0jvX4/Hg+fMcarVnUBQVo5EMkrSi39cl\n0iUJSCYPkUi8tLSmXKvFYzIZT8tGHjidLrCs3iweDGSD9aY/HoAgZFgsJ+W8dnsIh0N/jaLQODzM\nGNTOQqEIjnMZMvYz6MGuD7c7YHzW8Vg597rbguf7cLn86PcnIAgL2u0hbDZzjn0aBGEHy9qhaZg7\n98lkgvF4ALv9JAC02wOwbH9O1t9MlEoN7O7uGN+nzeZENptDLKZfN7VaFcGg36Dol8slTCa4Vtmi\n3W5hNOrDarViOBwjErmdq+pln7tcLmF9PWZUBAqFIiSJurMs1UOCWb95Pp/FwYHu/KooCj788Icr\nLcMVCjlsbKzD5/OiWDwGTVuM3tJMXHU2/Pwnf/I9fOELnzP1/VcoIvwd6FWs30wkEm8DOC1aZwOg\nABCSyaSaSCTq0Etzl2LVQeh/BvB/JBKJb0MPQL+QTCYvr0cBc9z+Xq+Ler2GUCiMTqeFer2GSCSM\nfD6LtbUN0xvM/X4PJKkZMxe5XB4MY7mUscNxHHK5NFiWmyoOZ+DznZS6nE4XWq0T+RyOc16qiXXR\nsKJ50FAul4xjatp5irJeKuyCJPWs0syejM1mQ71eBcf14XA4kMvl4PEsl/Zqs7EGkwrQ2XunrQlk\nWZr7LXw+P+p1/togNBoNDJkY4ETeyTxocwHH7XZhNBp+ooKQWZipHAA6OWOVhBNFUcCyNuN6WV9f\nn1MCr1bL2NvbM87ptMW9WXjppVdMP+Yl+FcAvpZIJGaqsz+bSCT+MgAumUz+SiKR+DUA7yYSiQmA\nFIBfvepgKw1CyWSyA+Drt/17l8uNZrOJZ8+eQRQFbG3F4fF4EA6HkU5nTGcB9XrdOcmdzc2Na3Xp\n4vFd1GpVyLKEQCB8LitedM7A7fYinU7D79dl9s00SuN5Hjs7WwiFwmi1eDx/foRY7CTIKIqCwaBr\nzFmMx+NzfjPHxwVQFAVFkeHxnC89XIfNzTiazSYajSb8/tCtdg83gd/vR7VaRqfThT5QbIXbfXLO\nFovV6GEBQL3euFb/DLiISm7uQCtF0RgM+gbFn+d5hEKfrl7HojjLMpXlxRlxZuAq09nTKiqAOWMZ\nZ/H8+Y9MP+ZFSCaTGoC/cea/D089/w8B/MNFj/cohlVPIxAIgGFo2GwWozekm3yZvxU9rewL6I12\nm+164VEzlHU5zgm7ncVwOIDX6zc1q/P7A3A4nGg2m7DZ7Od6DOPxaI6iarfb53Zm5fIxNjbWje/l\n8PDwVrMUq7ZYuGrYNBgMoVwugedbUFUVdju7UGCcTMaGtNBkMrlyIboNwuEIyuUSGg0eqqrA6XTf\ni6L3Y4DX68PR0dHUA0k8J7S6TFAUhclEwGAwmM6iFeeGq0OhCA4PD3FwcACCIHB0dIQ33jBXcPSh\nenpdh0d5NbtcbuRyGbhcLhAEgWq1ApY1f6AsEokhn8+CZe1Q1ZtbKkuSBIqibp313HVW5zKoqgKr\n1Qar1TZ9PF+Os9nsaDRqhj+MJElziytBYG6Bdjo5iKJ45xKRIAgYj+/vkozFbq64vLa2iVQqNSUO\nAGtr5rM1b3Nen0ZwnBMc57w3i/CNjS3U63VUqzX4fIG58i7DMIjFNpBOZ0EQWIqt/ZMnL5t+zFXg\nQQehfr9/4QU1o++m05mp3hu3tOGyzc3t6azB4q6Wqqoin8/C5eIgijJIknpQviNOpy5j4vV60e32\nzg3V0jQNq9WGTCYDkiQhiqIhGAvoMjen2WCj0Qgez912NYVCDk6nAwyjoFCoYmtr+1FkdjRNz303\nL3D/uM/r5irmom6Xbi4L9TSSyWdLO/Yy8aCDkCRJOD4uIRAIn2sQ0zT9oCyVR6MRWq0mAL2H8vLL\nLxl/VyodYzKZ3EoDaxlwudxwODiMRkMEAqELyztX9a5isXWkUmlYrRYoigKHw3Xpjb+I+naj0UAs\nplsEOJ020LQdpVIZ0eiLHcALnJhCUhS5cg2/F1g+HnQQ8vl8YBh2CYwjczGZTNDp8IZx3fvvvwdV\nVY0gxHHOBxWEAD2w3lb0lSTJaw3WBoMB2u0mbDYbBEGAx+O71FpCkoQ5lQqLxbKwdcZ9Qld9qEDT\nVIRCkYV7NbIso1IpgaIoWCzWOyuof5Khqira7aYxI9ftnjBkF8HsOtQddiV4vYEbi+k+Frwoxy0R\nq/RxuQ2azboRgABgZ2cHxWLOkO2p1+tYW3s8+l1moN1uLuxv5PcHkc1mjRmKYrG4EDPtPqFpGrLZ\nNPb2dkHTNI6OdIbhIgSSYjGHJ0+egCAItFqtqQ+O+QO6V0HTNCMxeghlT92OPQ+GYaaMSz1pGQz6\nc2MabrcbPN9a+LgXXYef1CD0ohy3JHS73aX6uBSLefB8AwCJz3zmsxeWjhoN3ebZ5wtcODdCUfQc\ni87lciOfP0Y2m4WiqAgEwo/OHvuuOE9dvnxxtlqtcLt907kKFlar/c7KxTzfhCCMoWm41J5ckiRU\nq6UpqeBm0kiNRgPx+JZBxjg4OEAmkz1HXNE0DZqmGe8/mUzg83mN99EN0lZrE93rdZHJ6GQKSZKw\nsRE3nakoSRIqlWPQNA1ZVrCxsXXld1suH2N7O24E8VnSYrPZ0e22jPkuRVGg3YCCeJPr8LHjISQT\nt8GDDkL5fB6DgbQ0DahMJg2Hw4KvfvUrGI/HeOedd/H221+ee02xmEc0GoHDEUU+X4CiyOcy+mg0\nhmxWtyUGgFqtjpdffuXRXhRm4LS/kaIoF3pAnYbD4YDD4TBler5er4HjWKytRaEoCg4Pj7C9vXvu\ndeVy0aDMiqKIYvF4Yfbj6cACXLwAzEp1NE1hOBxha2sbDMOg0xHmXmfuIPL1KBRyxrUK6N+D2UHo\n+LiA/f09EAQBSZJQKOSvVC8gSWJuFzmzY9eDPIlMJo3hcIzxeIxXX12c2iyKJ15kqqpeex0+Zjx5\n8tJ9n8Kt8KCD0NbW1lIkXGYYjQZ47bW3AOizMLFYBMPh0NiuS5IElrUZWXk8rjPyLiorxeM76Pd1\nRaKLFrxPG8z0N7opFEUy6OV678txobab1XpSirJYLDfarYZCoalN+AEoisLR0dHcEOlgMIDdbjFY\nkZIkoVgsIRZbA0EQKBaLYFk7mk3+QuPEu+CmVuw32VksCpvtRL2AYZhrS+qyrMz9RuPxxLBjDwZD\nyOUyWFuLgaIo5PMZxOO7CyV56+ubSKXSYBj6VtehLstFPApPoWTy+X2fwq3woIPQsqGq5yesTzeX\nL6OHXwYz3F0/KTDb3+gmOOuUqtPkzy/KZyfqZ1nybFG+6rcmCAJbWzvI5fLQNCAUis7NTo1Go6ml\nuw6GYQx5pHA4CkmSIIoiNjfNo6L3eh3wPA+LhYYgiIhEYmDZ8/0Pq9UGUZRgsTBTzybzS1Rn1Quu\n88xaW9tAOp2ZnpMyJ6lUq9WwublhzN04HA4UCsWFFPQpirqVftzMwDIcDkHTZOTzGWxt7Vz/h/eI\nx1p5+VQHoUhkA++//z5effVVNJsN9PujuYXEYrGg3x8YDdzj42M4HPefEXU6bQyHfVAUZczwLOMC\nVBQF5XIRNM1AkiREo2uPwgDO5wtMdyYhDAZ9UBR94ffDcS6kUilYrVaMRiNEIms4Pi4YiYiiKFeW\n50iSvPR5r9eLSqVikC14vgm7fX540ezvstVqYXs7bjzOZnPGrrzb7aDRqIMgSOzs7KFYzKPXG4Ci\nqKVYAHg8PqTT+g5EEMRrd3skSV4aLBRFmrsvZz28ZULXets1fiOW5VCr1QxF/7tgPB6j1WoiGDSX\nzZZIvCjHPTqEQiE4HA589NGP4PG4kUi8jOPjAgAYE89bWzuoVsuQZQUez3nztVVDd4zsG7pusiwj\nny+YbvoGAKVSAXt7eyBJEpqm4fDw6Bw1WxRF1Os1ALrEjCBM0Om0QFE0FGW+/FGplKH7XAEEQSES\niaLb7aDf78HpdJlmwsayLKzWjanmmudS+Z2Zg6aqqggGSdTr9Wn/T989dLtd8Dw/x85aFAzDwOXy\nIJVKg6JIMMzyqdgUNR9oZyWwTqeNYjGHarWMyWSC73//T/H1r/+lhROXVquFdpufo+YTBHHl37tc\nbtPUPoLBMDKZjMFyy+XyFxrZmQlFUeeSBJvNBlm+u7vvaDRCp8PPaVKahcNDM8txf8HEY12NT3UQ\nAvSt/SuvvApRFFGrlY0LfaYWYLPZHtRw3GQymaOY0vTFWb4ZYJiTPglBELBa52V5Zuyy2XeWTCZB\nEEAi8cQ413JZ74PwPA+v1w2PRw80rVYLR0dJRCIh7O3totlsTO0UzKEqUxS1cFCbfUZRnJ9Xcrvd\naDSaWERw9iLMZGRuitvKzkiSYvSDJEkydgv1eg2ZTBoulxM+nw/tdhu/+7vfxE/8xJ+79pjNZhPd\nLg+v1wdFUfCtb/077O7uTwkXloVLrv1+D72e7vAcDkdvpH/HMAyCwQhSqTQIgoDH47tUfd4s+Hx+\n5HJ5xOP658tmMwgE7r4LareXE4CAF+W4Rw991udEkn9nZwepVGapMhuLYjweo9frGtYPPF/HrCog\niuKdRDMrlZIh2Hk6u5QkCeXyMSwWCpIkYX198xyzqFarYH9/37j4NzY2UKmUjOf14Vxt+hlGWFs7\nkS7y+Xw4PEwiGNRLQYFAEP3+aqnKZ+F2u1GrVQ0ywfHxMbze5Wbcp9Fo1CFJE9A0g9FojM3N+I0I\nBltb2ygWC1Mx33lLa1EUYLHon8Vms6Hb7Sx0zE6nZZA8ms06dna2EQwGwDAWtNttdDrtayWz+v0e\nJpMRdnd3oGkanj9PYmtr+0afzWazrZTcwrIsVFVFJpOBqmrw+QKmKb0vS9vu4OCJ6cdcBR5FENJt\nrqWpWGkVoVAYHOecy3T1slAVgL59v+kFQ1E0RFE0/k6W5aUoc98UPM8DkBGNhsHzTYxGQ3g8PqRS\nKVAUDVmWb00AyOcz2N7ehsViAc83p0OTuvZVpXKMN9/8PIbDPhwODu+//x4ODuZr2DPa64zRxDAM\n+v0TNqMsy0aTn+M4NJsNoyTVaNTPNc1bLR75fB6qall62fOihcDpdIHndb8nALDbHSsbbNR3Lgp2\ndvQyq6IoyGZzN1p4KYq6UMlia2sbv//730QoFDLs4hftR51mzsmyAoqijbk9l8uFVuv6IHTaEkXX\nfVxHp9NeekntruA4zvTrMBSKIJlMTsvp5iqoHB0lTT3eqvDgg9Bg0IfNxiAc3kA6ncKbb76O8Xgy\n1Wrj4fP558pCM5n0s2yl6xAOR5DJpBGLRUGSJI6PjxGP3z/VWhBGRnM7Go0hk8kgGAzdqsxzGpqm\nwW63G8OWfn8Avd7JTsRiscBqtRrfYTS6du6GjERiODw8xO7urmFDTRA03n//PWga4HZ7jEXR6XTh\nhz/8AVKpI/j9QdhsLFwuN1otPdP++OOPEIvFsLW1hWQyjXZbhNfrg9mo12uQZRE0TWM0Gp8TStX7\nP+YsjrMhZ5qmr511m0wm4LiTgHcX9fWzsFqteP31L+Dw8Dk8Hg/G4wlef/3zC/2tTnFOwuv1QpZl\n9Ho9ozytN+qvL1XPBnZn37MgTD61dhQMw2BjI45SqWLY25uFF+W4JaHf72N9PQZBEOB2u8CyLIbD\nISKRKDIZfdFsNGpzZaH9/f1bldK2t3fR6bShadrCcwjLBkGQVz6+/XGJc1Tm04/Plt4uMggjSRLx\n+C7K5SoIggDDWBCPx2G364OGelAioKoqCoUs3nzzdRAEgcPDQ3i9PtA0jVaLx5/+6fcwmQzg83mR\nzWanw79Z04OQKIogCM0I6oqiIJfLL4XUUa1W4PG44PHEMB6PUSzmr9yxOhwOHB3lDBJEv98DRZl3\ne8Zi6xiNxuh2u/jxH/+JhXchdrsdL7/8FO12G/v7TzAeT1AuVwBo8Hr91zrPAnqy8vx5EpubGxCE\nCXi+vVLb7cswHo/RbNbAMAxEUUQksrZUx9rZrpKidFKO2djfT5h+zFXgwQchj8eLarWKSCQCWZYx\nHA5B0/qFMhO5JAgSsiwbJQZFUW5dSluWJcTtQaDb7cLtdmMw6Jsq7EkQJOr1GtxuD8rl8lx5MxAI\n4/Dw0DAIuyzjJQjCuKEqlZKxKNE0bdzQtVoFBwcHRmZ/cHBgOOF6vT4Mh33s72/D5/OBJDWk0znT\nPuNpTCZjOJ0n2SdFUUtLNDRNNUgYdrsdDHP1rUaSJPz+kMGmM1MtulIp4/g4D5/PC5/Pi+fPf4Qv\nfvErC392iqIMRQWOcyIYvBnLj6ZpbG1to91ug2HolQYgXT6oBIbRZ6LW1jaM67DRqM7ZbB8eHi3t\n3EqlolG21qWSzJ+hM7cc91MmHutqPPggZLfbMZmMUSgU0Gw2MZlMEI2uIZ1OwevVb4xIJIqjoxTi\ncV2fKpfLPfjBskURjcbQaDTQbPJgGIupWXskEsVg0Ee12oDfH5rLAu12OzY3r1bKPouz8jMzH6ar\nMJlM4Ha7IEkyJpMJPB7d8TUSMd8czuHgUKkcG8Gh0+mAYZaT+Z79LhZJHliWBcua33xvNhtz/TeS\nJDEcDu5c0r0J9CC7+h7QaWkmRVGQTmeMQHN217OsGTid5u8zrrvRaIRarWa6aO1DqNzcBg8+CAG6\nba/X68Pa2iZ6vS6q1QZCoZhx0RAEge3tXTSbzXsppU0mEzSbdVAUjWjUfDr3TTPPi6BpGgaDPmia\nmSuh3JZGfBHcbi9SqRQ8Hjd6vT7sdn3hC4ejc9bGh4eHWF/XM0GbzYZ2u4GdnV30+31MJkPQtHUp\nO1KKouD1Bozdhm42uBxdQpbVLZ7D4RBaLR4MYw6z6jbQCSSKcU8oigKL5f7Ox0y0Wjwmk9GlQrWn\npZkoipoLNKJ4MvejadrSdOXG4yFisRN6N8uykKSq6e+zv39w/YseIB5FEDqNy4bgCIIwZbG+KWbD\nZ3t7uxBFEZlMBvH4w9qFKYqCQiGLSCQCQdANwhaRPLkpOM45NcvT1QdmC4I+5LiDfL4ATdOwsRE3\nShMEQcDhcCGdToOiKLAsg93d/ave5k6YCaUuG16vD4IgoFZrguM4eL3LnWsZDAYYDgfweLznCDmJ\nxEv44IP3oCj6HNHGxuZSex93wXg8Bs830Om0wDAWOBzc1NbhPEut2WzCaqUQi+1MhWoPsb29N/ea\ny6SZACAcjuHo6GhOEeS2qNUqUFX9++W4k8HryWSC8XiEjz/+CE6nE1tbcTQadbjd5gzynkYqdWT6\nMVeBRxeEHhparabhJWSxWBAKBQ0FgIeCSqVk+NcAOkPstFCrmdCDyvnjkiR5aeBzuz3GTWuGivZD\ngdVqPWf3LAgCGo3atDkdM2XHXi6X0O224XQ6kUo9RzS6Ycz2AHpP5u23v4zxeDwVE13ebc/zTUwm\nI1AUBUEQbqSNpygKms0aPB43IpEQaJqEomio1Wqw2+3nBGhFcYL1db1kTFEUfD7vOfPI2TgDTTMQ\nRWGut2m1Wk2xZm82m3C5nIbdRC6Xh93OwmKxoF6v4OnTpxiNhphMxnjvvT/C5uYu/P6Hsz7cN14E\noU8Bzkqs2O0sBoPRJ9bc66FiPB6j3W5gb28XkiQhlUqborjO801EInq5JxQKo1arzAWhGRZhst0F\nkiRBlkWDfahLShUXZql2ux3EYjG0WjxiMb1M2mg0EAyG0Ot1z7Elz/bdRFGCwzG/pJlZbr4MgjDG\n+vpJWTccDqHZbCMYDBplT5Z1gGUdiEQGS+uN7e29KMd9KuHzBZDJZLCzszMdmG08uHKcw8GhWq0g\nEolC0zSUy+VLM8BmswlRnEBRFEQisUchWPpY0Go1Dc0/hmEQi0UXUhy4Dmc3GvfVnz7LPqRpGjcZ\ndbJabRgM+iCI2bA4CU3T6eose37nMGNwRqNRDIcDyLJ6L/NHJEnOmVp2Om0jwTtdDlxm3wkA0ukX\n5bhPJViWBUmSSKXSoGn6wQUgQM8G+/0eMpksFEVBNLp+4SBks9mE3c5gfT1qyKvE4zuPlnXzaYHF\nYjUWwX6/v1LW22k4HBzK5aJRlhoMBqCoxZMYh8OBSqULkgQ++OADkCQJt9sDirLMldhmsNlsBlnJ\namXh8ZhrzLcootE15HJZWK1WqKoCimKMHqDH48fRUQoMoyuymO0ddRovdkKfQHS7HcPUamZGdhFW\nrWu1KCRJQqlUgNPJQRAEWCzslQ6aeo1dLysQBIFwOLRyKu8nGT5fAOl0Cru7exBFEeVyxZRy3MHB\nExSLBfR6fXCc60K7AVEU0e/34XK5lra7JUly2oNJg6YpaJp+38xQr9cgSSIYxoJQ6GIx0Gg0BkVR\n4PH4YbFYrk2AdMaj+coaN8VpuaTxeIxSqQibjYXf71+Z8n4qdWji0X7SxGNdjRdB6BK0WjwoCtjd\n3TG1fr9KVKslJBIJ40bOZNJXvl5RlDl5lfF4BKfzoQ3vPl7Y7XYEApGl7Jo3Ni5Pgt5999v49//+\n30KSJDgcHL7xjf90aVnzZT2YcvkYoVAAHOfEcDhAqVS8dOaNoqhzJIRFMBj0MRqN4fV6zwVaTdNQ\nLObBMAwURZ4y7sxPrnq9LsbjEXZ2ttHrda/8nGbjsVYsXgShSzCZjLGzo2c3DMPA63XP1X0fOe80\nLQAAIABJREFUA87aPFit1gttrmeIRtfw/PlzBIMBTCYTyLK2dCrvbLc5Y4t90mG1Wle6a65WK/jW\nt34XLMuCokj0+338xm/8C/ydv/PfX1jiWhYIgjAWfYeDA0k273S8eSUECSRJweXiEAr5US6X4XJ5\n5oJMuXyM7e24EZyOjo6WEoT6/Z4h1up2e9Dt9q6858zEi3LcJwxnJ9wlSQbHLf9CMhckRqMRWJaF\npmno9wfw+y/3RNGz812MRiO43Y6lkxKazSYsFhK7uzsQBAH5fBbB4GeW+p5nMZvvUBQVXq//E8cY\nTKdTsNttANRpj8WNTqeDo6Mknj59bWXnMbM2P/u4VqtiNGotrJyuE2uOUa9X4fN5QVEMaNqC58+f\n42tf+w8BzGxY0nNBhiSJueuZ4xwQRfFckiUIAiaTMTjOeavAcXY3skol/hfEhHuEJEmmm7t5vX6k\n0ymsr+sOnaIoPTrl32g0ZriZ6lbV12fgqqpCkkSMx/pcw0UOqWZBkk7mPKxWK+x2u6naeNdBHxp0\nGXIqqVQKNpttJVnrqhCJRKBpOtuMomhMJhM4ne5bKXRLkoRutwu73X7jYG21siiVjhEIBNFsNmCx\n2FEo5LC+voZw2Idnz1KQZelapmChkMPe3i48Hid6vS58Pi/cbg9UVUGlUjYUSyhq/vMpigpZlo17\neDgcwesNQhRFVKtlMAyDRqOOSCQ81VIswu8P3dg8z25njfOYTCYYDscIBFZzPb0ox90DZFnG8XEe\nLpcTk4mITqcDl0t377zrVtvhcMBisaBabcBut62srms2biIjNBwO0W43EQwGcXxcg98fQCQSxWQy\nmbvBzcJFKt6rvJEkSYTHc9I4DwQCGA4HptlSz9BoNCDLAjRNg83GLsVH5+OPP8Zv/Mb/CVVVsLv7\nBH/1r/4cCILA7u4+Pv/5t/H7v/+7EAQBNhuLz372jRv3NweDAXq9FsLhMHq9Hvr97o3Kp36/H5PJ\nBLVaE06nCxaLBZomG4v8+vo60unMtUHIarWCoij0ej3EYlFIkjwNqBomEwGArpVH0/Nl87W1DWQy\nGVgsFsiyApdLTzwqlWMkEglomga324lerwe32w23241UKn1jLT+v14d+v4d0OmMIt64Ky1QaWSYe\ndRCqVE4a77lcFrFYBMFgCPV6De22NMeamcm2zyQ6wuEo6vXKdAd1sbQ6wzAXMo0+qWi3eezt7UEQ\nBOzt7aLRaADQ2X9nyylmwO32IJfLY319Dd1ud2mOk5dB07S5ev1g0IfLZS7TqtvtwGajEQzqC3a5\nXDJdraJWq+JXf/V/QyAQAEGQODz8IX79138VP/MzPwsA+LEf+7N4/fU3kc/nDBXrWT+oUiljPB5C\n03Aps05/jwoSif2ptBKLbDZ34/O02WzG+y4ibnsRFEUGoBtXFgrHsNvtEEUJPl8IP/rRj6CqGljW\ncU7CiyCICwV5rVYbNE1Dq9WELEvodHiMRmGjh3YbOJ2ue1FMyWRSK3mfRCJBAvgnAD4DQADw15LJ\nZHr6XBjAb5x6+WcB/Hwymfynlx3vUQehmRS/qqqw2SzweFzTORjdjwY4WVAajRoODvRMQVEUvPvu\nd/CVr3wVBEFgOBwaw5yfZsxuOouFQbc7BE3TxkJ92mHTLOgZsRXFYgksy95Ju+s2iMXWcXSUAsva\np6Uai+lEjH6/j729ExZcNBpDOp0xNQg9e/ZDOByc4TXl8/mQTD6bew3HcXjllVfn/q/V4kEQKqJR\n/bpvNpvnJKdUVUUul4aiSBgOh1BV3aKCpmmoqnpr4z2KojCZCBgOh3A6bSgWiwtVL6xWFrlcHk6n\nA71eH5KkoN3uYjDoIRpdgyTJN6JsS5KEdruFYDCI8XgEQRBQr1fhcnluNOP0ELDC/O2nAViSyeSX\nEonEWwB+afp/SCaTNQA/DgCJROKLAP4egF+56mCPOgjRNDMtwbmgaRqGwxF8vsBUn6sOVdXgcrmN\n7f9puN0uI+t2OByo1+sXvodeouJBEIDbfbGQ4kOBIAhoNuvQNN0p9qbEApKk0W634fV6QZIU0uks\nJhMJoiiaorF1EaxW61KUxxcBQRCIx3eWugOzWKwYDE4GSNvt9jlb87siFApjMhkbpS1BEBbqZfR6\nPYTDJzsGv9+PZrM1F4TK5WPs7++D55vQNBVWK4NMJoNmswlF0YPQbZXINza2UK/XIQgDsKxzocAc\nCAQgy7rtx0svPYUgCBiP+3j69CkAveJRq1UWPiev149U6nAagERwnAO1Wg0UZb10lum2uEvQXgQ7\nO3vXv8gcfBnA7wBAMpl8L5FIvHn2BYlEggDwywD+s2QyeWUG+6iDkK6TVUW73UalUsGTJ08gyxKO\njpI4OEjA4/GgUCiCJKk5+YzZ7meGWbZ/FpPJBN1uyxAozWazoChq6Rpct4EuGVTB/v4+NE3D4eEh\n1tY2b0SmCIcjaDYbaLfb0DQCr7/+hUfb7LwJlvkZQ6EQSqUims0WNE09N8BpBl5++VXs7u7jBz/4\nGCQJUBSNX/iF/+Hav3M4HHMBstNpn1N3JggCFEUhFAqD55tIp9OwWCz4whfeAkEQaLVaaLdbtx4Y\nDYVCNxatpWnaSAb7/T6CwZP3nrn6LgqO01W6T9tA9HoDBIOha/5ycYxGIzSbugirIAhwuTym9x2B\n6+cATYQLQO/UYyWRSJDJZPJ0zf6nAPwgmUxeS9l71EEI0BdOAIhG19FsNvH8+TO89tpnjaxqc3MD\nqVQGHo/PkM8QBBGx2CYymfRU6mRwIXOM5xvGrBAAbG9vL2QbLssyNE1bqe5ava5bnAP6wrG3t4d8\nvnBjy4ZAYPV2GJ90rILU8tf/+t+EKIpTer17ocAaDIZQLObR65UBaLDbHXPuuoA+01Ov1xEKheD3\nB/D8eRKf+9wbxvF9Ph9Sqcy9qRa43W40Gk1sburfcbfbvbFX0traBo6OUrBaLZAk2XQvq1arMefg\nmk6nlxKEVogegNO107MBCAD+cwD/aJGDPfogNMNg0IckiQgG57fQoiiCosgLJ7lnO6DLZmcoStd7\nmg2oiqIImr6ablks5mG3W0GSJAaD4Y3dSW8Lgpjf7quqavQIXuDTAYvl5j2t62ymPR4veJ5HNpuD\nqqrY3NxGu92C36/LP+nlRXO8kjRNQz6fhc1mw3A4gNVqvzbhs1qtYBgL0uk0SJICQNy4vEtR1FJZ\nbJOJgHq9Bq/XB4ZhljYCsMJy3Heg73R+M5FIvA3gowte82YymfyjRQ72iQhCtVoVdrsFGxtrqFQq\neP78OdbX9e01z7cvvcAIgriyXBWJRJHNZhAM6pTaRoO/UmpFt6UOGTX1yWSCarW8EiWASCSGZDKJ\n3d1dqKqKbDaLePxxyQy9wMOEbj1wQiuv1aro9bIAcCmz9DYol4+xu7uDQiGPWCyKRqOBbPZ6uayZ\n8/JDRKVSgsVCw+v1oFotw+32QhDE6//wFshmV1aO+1cAvpZIJL4zffyziUTiLwPgksnkryQSiSCA\n7qIHe/RBSHeLlBEK6RnTxsYGJEmCxcJOrb7vps8Vj+9MRUxx7bEEYQyOixiPbTYbZPl2VNSbQs/m\ndlAuV6cN99VanL/ApwezErjZIAgCtVoVu7s7YBgGHOdAq9VGq8UvZbZq2dCrEQT29w/Q6bThcrnw\nwx/+AJ/5zOtLeb9V3e9TosHfOPPfh6eebwBY+EM+2iCkKAqKxRwcDge63TbqddZgsxAEaSp5YNHB\nV58vgHy+gHhcL3EcHx8b0/irAEmSn3qa+QtcjX6/h1aLB0BgfX3jQalD0DSDwaBv9FIHgwG8Xh9K\npco9n9ntoKoqGEYfI5nt1CKR6NK+88cmsDzDow1C5fIxDg4OQJIkOM6BTqcNWfaj1+tNa8Orh87M\nkZBOZ0AQBFjW8cIG4ZYYDodotRpgGAtEUUAoFDWkmZa9cNbrdUiSAJZ1PNgyz23Q63XRbvOIRqNQ\nVRWpVBIHBy89mB1zKBRGOt3F97//PUSja2BZB46PiwgGH2diRdM0+v0hJEkyZIEYZnmisbncyspx\npuLRBiGKoowmvNfrQ6fTwfPnz+HzBZZWLlgE9zUt/UlDq9Uw2H4A8M4738b29jZUVYMoSlcyznRl\nbj0ZkSQJGxtbCy+0pVIR4XAQHOcEzzdRr9dMnxe5L7TbLWMwlSRJ+P1+dDrtBxVod3cP0O120G53\nwfMt+HzBR+3uu7W1jWKxBE1T4XBwV/p53R0PI5m4KR5xEKLR7XaNuQZJkrG7e/BgsrrbYjgcoter\nYziUIEki1te3ljrgNoOiKOj3e7Db2QdhV3F64SmXSzg42EcopCcX3W7n0j6BqqoYDvuGjbYoiigW\nS1hbW5Sqrlswdzr67Eu3m597VhAEMAxz7W+iKArK5WNQFAmKom890GkmNA1zg7myLMFqfXgzb263\n5xxV/L5wmnEqyzLK5WMwjC79FY2uXRsgCcL8ubDL8KIct2KEwxHUahW0Wi3IsoJgMPLoAxCg7wBe\nf/0p+v0JFEVBJpO9lkZ7V5wWLh0MOuh2cefsfybzc9vfRBRFY8GUJBk220lgdDpd4Pn2hX83Ho/h\ndp+UQHV3zsXecybhkkjoA7+1Ws3QzJu51Hq9HrRaE9A0c+VAY6GQxcGBnhQNBoOVsSSvQjQaQy6X\nRjgcRqfTgSwriESWZzd9W8zsGnT2KnMvO9HTPWfdDdaG8XiE/f09EAQBTdNwdJTC5mZ85ed2GXK5\nzH2fwq3waIMQgJVml41GHbIsQlVVsCy3lBKGps2byFEUde1ckhmYCZcC+vBfJnO3i7lQyE1VkvVA\ndBtNuGh0fTpczKDdbs1R6QuFIny+i8sadrsd1SoPv18fuhVFEYuWKWq1KmKxKHieh9/vh6Io6PX6\nWFsDarXynEttNpu7VO5Hv0YcxnMcx6HZvJuJmxmwWq2IRGLI57MIBPygKOpBMs/y+Sz29nZB0zR6\nvd6luo6qqqJUKoKmKaiqhlhs3bREtFIpGT1nAMjl8qAo0jg+QRCwWB5WmfCxJuGPOgitCp1OG3a7\nBYGAvpgWi0XDLM5MEAQxXTR16N4+i0uQ3BZn1YIZhrm1nlqtVsHGxrrBTuR5Hp1O+8ZT6AzDGFlm\nNLqGdruFTCYLTdP1AC9zBSVJEg6HC6lUGhRFQZblG+0ko1Fd0TubzcHpdBnnPRPLncFms0xHAc4P\nh5IkCVmenwVZFVX/OnS7bXz2s581Hmez2QcXhGw2m5F0uFwu8Dx/4euKxTz29nZBURREUUQ+Xzj3\nWw8GfXS7HWiahmAwvHCpmSTJuZKr0+lAuTzP0pMk6eyfged5CMIYqqpXZ1ZZ2jbTLn6VeNBBKJ/P\nYziUTdVxug2Gw4Fh2QsAa2tryOXypgchYGaml8ZoJF3bgDcLJEmj0+nA4/FAlmUMhyMEg7fLqmRZ\nnqPHe71e5HL5O0uh3GQg8bY9hUgkisPDQ+zv78PpdOLw8BBbW/rvTpInPUhN09DpdOH1Xi5xZLGw\nyOdzsNvt6HZ7CIcvLsUNBn1UqxU0myw4LrCw5bYkSXjvvXfRbrfwuc+9ea2ywAxne1kPiaI9g6oq\nZx5fbCNitVqM87dYLOcGz4fDIUajoXHvHh4eIhpdX4joQFH0nKI4z7ewsRHH4eEhLBYLRFFEMDhP\ngGq1eFgsJNbWto33W1vbXNl3/KIctwRsbW0hlysZ5ZH7Ak0zczufdrsFh2M5atoc50QwGLuRoONd\nEQ5H0GjU0Wq1oGm4k4QJxznnGGXHxyV4vQ8r074MNE1jfX0L2WwOBEFga2vHWLT1HmQVPN+aOs1e\nvbsKBoNQVRWCIGBr6+LS4WAwQCaTRigUhN1uw/PnP8Srr752reisqqr4B//gf0Kr1QBF0fjmN/8t\nfu7n/is8ffrZK/9OB4HxeGwIfYri+Wx+hpn1ud5zDS8cIO8KhrGiWCzC6XSC53m43RcnH2dFh2de\nQzN0Oq255HFnZwfFYumcrM94PEa7zcPh4IzkJRyOoFoto1qtodPpYn19Ezab7UoZrslkhFjstG1H\nFL1ed2Xsw0dajXvYQQjQJUPS6QxOy4asGuFwBMViflqmUgGQ92Y/sCyYtdt0uz1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WAAAg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\n0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fV6AxsbZ10Mu90u6vUadDrdTIOEkiSh2WyAYVi0Wk34fB6YTCZIkoSDg9hCTonZbAY0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\nR0dnZ+hBSEdHR0dnZ+hBSEdHR0dnZ/z/cnDrXFb2dk0AAAAASUVORK5CYII=\n"}, "output_type": "display_data"}], "cell_type": "code", "metadata": {"collapsed": false, "trusted": true}, "source": "na_models_x, na_models_y = na_spl.dimensionalize(na_spl.m).T\nca = bivariate_gaussian(na_models_x, na_models_y)\n\nfig, ax = plt.subplots(figsize=(7, 7))\ns = ax.scatter(na_models_x, na_models_y, c=ca, alpha=0.4)\nplt.colorbar(s)\n_ = plt.setp(ax, xlim=x_search_range, ylim=y_search_range,\n xlabel='x', ylabel='y')", "execution_count": 5}, {"cell_type": "markdown", "source": "We clearly see that, with the NA parameter values chosen above, the NA converge well towards low misfit regions. It is also able to globally represent the correlation, but only through discrete patterns. This may be related to the discrete geometry imposed by the Voronoi diagram. ", "metadata": {}}, {"cell_type": "markdown", "source": "## The emcee sampler\n\nWe apply here the emcee sampler with 100 independent walkers. The initial position of the walkers are randomly and uniformly chosen within the search space. The total number of models generated is the same than for the NA-generated ensemble.", "metadata": {}}, {"outputs": [], "cell_type": "code", "metadata": {"collapsed": false, "trusted": true}, "source": "n_walkers = 100\ninit_walkers = np.column_stack([\n #np.random.normal(means[0], stds[0], size=n_walkers),\n #np.random.normal(means[1], stds[1], size=n_walkers)\n np.random.uniform(*x_search_range, size=n_walkers),\n np.random.uniform(*y_search_range, size=n_walkers),\n])\n\nemcee_spl = emcee.EnsembleSampler(\n n_walkers, 2, lambda (x, y): np.log(bivariate_gaussian(x, y))\n)\n\nemcee_spl.run_mcmc(init_walkers, ne / 100)\n\nemcee_m = emcee_spl.flatchain", "execution_count": 6}, {"outputs": [{"metadata": {}, "data": {"text/plain": "<matplotlib.figure.Figure at 0x7fb102fbe350>", "image/png": 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r/Mmf/OlmV0skuiclkynK5TLhcJhTp94hnU7jcrkIBgMEAgGam1swm80olcqr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\nISGEEJr5/xNuhGvQj1c9AAAAAElFTkSuQmCC\n"}, "output_type": "display_data"}], "cell_type": "code", "metadata": {"collapsed": false, "trusted": true}, "source": "emcee_models_x, emcee_models_y = emcee_m.T\nca = bivariate_gaussian(emcee_models_x, emcee_models_y)\n\nfig, ax = plt.subplots(figsize=(7, 7))\ns = ax.scatter(emcee_models_x, emcee_models_y, c=ca, alpha=0.4)\nplt.colorbar(s)\n_ = plt.setp(ax, xlim=x_search_range, ylim=y_search_range,\n xlabel='x', ylabel='y')", "execution_count": 7}, {"cell_type": "markdown", "source": "We clearly see here that the high correlation is much more \"continuously\" and well represented than using the NA sampler.", "metadata": {}}], "nbformat_minor": 0, "nbformat": 4}
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