{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%run notebook_setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# PyMC3 extras\n", "\n", "*exoplanet* comes bundled with a few utilities that can make it easier to use and debug PyMC3 models for fitting exoplanet data.\n", "This tutorial briefly describes these features and their use.\n", "\n", "## Custom tuning schedule\n", "\n", "The main extra is the :class:`exoplanet.PyMC3Sampler` class that wraps the PyMC3 sampling procedure to include support for learning off-diagonal elements of the mass matrix.\n", "This is *very* important for any problems where there are covariances between the parameters (this is true for pretty much all exoplanet models).\n", "A thorough discussion of this [can be found elsewhere online](https://dfm.io/posts/pymc3-mass-matrix/), but here is a simple demo where we sample a covariant Gaussian using :class:`exoplanet.PyMC3Sampler`.\n", "\n", "First, we generate a random positive definite covariance matrix for the Gaussian:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "ndim = 5\n", "np.random.seed(42)\n", "L = np.random.randn(ndim, ndim)\n", "L[np.diag_indices_from(L)] = 0.1*np.exp(L[np.diag_indices_from(L)])\n", "L[np.triu_indices_from(L, 1)] = 0.0\n", "cov = np.dot(L, L.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then we can sample this using PyMC3 and :class:`exoplanet.PyMC3Sampler`:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains: 100%|██████████| 308/308 [00:04<00:00, 76.53draws/s]\n", "Sampling 4 chains: 100%|██████████| 108/108 [00:01<00:00, 63.32draws/s]\n", "Sampling 4 chains: 100%|██████████| 208/208 [00:00<00:00, 456.97draws/s]\n", "Sampling 4 chains: 100%|██████████| 408/408 [00:00<00:00, 1185.92draws/s]\n", "Sampling 4 chains: 100%|██████████| 808/808 [00:00<00:00, 1313.22draws/s]\n", "Sampling 4 chains: 100%|██████████| 1608/1608 [00:01<00:00, 1456.51draws/s]\n", "Sampling 4 chains: 100%|██████████| 4608/4608 [00:03<00:00, 1432.32draws/s]\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [x]\n", "Sampling 4 chains: 100%|██████████| 8200/8200 [00:04<00:00, 1773.95draws/s]\n" ] } ], "source": [ "import pymc3 as pm\n", "import exoplanet as xo\n", "\n", "sampler = xo.PyMC3Sampler()\n", "\n", "with pm.Model() as model:\n", " pm.MvNormal(\"x\", mu=np.zeros(ndim), chol=L, shape=(ndim,))\n", " \n", " # Run the burn-in and learn the mass matrix\n", " step_kwargs = dict(target_accept=0.9)\n", " sampler.tune(tune=2000, step_kwargs=step_kwargs)\n", " \n", " # Run the production chain\n", " trace = sampler.sample(draws=2000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a little more verbose than the standard use of PyMC3, but the performance is several orders of magnitude better than you would get without the mass matrix tuning.\n", "As you can see from the `pymc3.summary`, the autocorrelation time of this chain is about 1 as we would expect for a simple problem like this." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
x__00.0001820.1611660.001505-0.3218740.30985410391.9556951.000320
x__1-0.0019580.5287010.005229-0.9798541.08414911469.3483231.000107
x__20.0023170.6540960.006766-1.3053411.25014210681.5263481.000276
x__30.0060451.1727210.012248-2.2070182.35247610931.3859981.000197
x__4-0.0026062.0208930.017690-3.9557033.92992310968.3699080.999961
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n", "x__0 0.000182 0.161166 0.001505 -0.321874 0.309854 10391.955695 1.000320\n", "x__1 -0.001958 0.528701 0.005229 -0.979854 1.084149 11469.348323 1.000107\n", "x__2 0.002317 0.654096 0.006766 -1.305341 1.250142 10681.526348 1.000276\n", "x__3 0.006045 1.172721 0.012248 -2.207018 2.352476 10931.385998 1.000197\n", "x__4 -0.002606 2.020893 0.017690 -3.955703 3.929923 10968.369908 0.999961" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluating model components for specific samples\n", "\n", "I find that when I'm debugging a PyMC3 model, I often want to inspect the value of some part of the model for a given set of parameters.\n", "As far as I can tell, there isn't a simple way to do this in PyMC3, so *exoplanet* comes with a hack for doing this: :func:`exoplanet.eval_in_model`.\n", "This function handles the mapping between named PyMC3 variables and the input required by the Theano function that can evaluate the requested variable or tensor.\n", "\n", "As a demo, let's say that we're fitting a parabola to some data:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "logp = 42.615, ||grad|| = 17.722: 100%|██████████| 19/19 [00:00<00:00, 1635.37it/s] \n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [a2, a1, a0, logs]\n", "Sampling 4 chains: 100%|██████████| 4000/4000 [00:01<00:00, 2270.41draws/s]\n", "The acceptance probability does not match the target. It is 0.8788002200800235, but should be close to 0.8. Try to increase the number of tuning steps.\n", "The acceptance probability does not match the target. It is 0.8834353310005734, but should be close to 0.8. Try to increase the number of tuning steps.\n", "The acceptance probability does not match the target. It is 0.8827839735098203, but should be close to 0.8. Try to increase the number of tuning steps.\n" ] } ], "source": [ "np.random.seed(42)\n", "x = np.sort(np.random.uniform(-1, 1, 50))\n", "with pm.Model() as model:\n", " logs = pm.Normal(\"logs\", mu=-3.0, sd=1.0)\n", " a0 = pm.Normal(\"a0\")\n", " a1 = pm.Normal(\"a1\")\n", " a2 = pm.Normal(\"a2\")\n", " mod = a0 + a1 * x + a2 * x**2\n", " \n", " # Sample from the prior\n", " prior_sample = pm.sample_prior_predictive(samples=1)\n", " y = xo.eval_in_model(mod, prior_sample)\n", " y += np.exp(prior_sample[\"logs\"]) * np.random.randn(len(y))\n", " \n", " # Add the likelihood\n", " pm.Normal(\"obs\", mu=mod, sd=pm.math.exp(logs), observed=y)\n", "\n", " # Fit the data\n", " map_soln = pm.find_MAP()\n", " trace = pm.sample()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After running the fit, it might be interesting to look at the predictions of the model.\n", "We could have added a `pymc3.Deterministic` node for eveything, but that can end up taking up a lot of memory and sometimes its useful to be able to experiement with different outputs.\n", "Using :func:`exoplanet.utils.eval_in_model` we can, for example, evaluate the maximum a posteriori (MAP) model prediction on a fine grid:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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WlZaWhnVelvwBAIATsaQohgzDOEOSR58GXcslXW+aZq91BIZhfE/S93vcdbNp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\nm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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 380, "width": 558 } }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "x_grid = np.linspace(-1.1, 1.1, 5000)\n", "with model:\n", " pred = xo.eval_in_model(a0 + a1 * x_grid + a2 * x_grid**2, map_soln)\n", "\n", "plt.plot(x, y, \".k\", label=\"data\")\n", "plt.plot(x_grid, pred, label=\"map\")\n", "plt.legend(fontsize=12)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.xlim(-1.1, 1.1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also combine this with :func:`exoplanet.get_samples_from_trace` to plot this prediction for a set of samples in the trace." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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ioqHw0xIREREBAJYtWwbP84a8jed5WLp06TiNiIiIiGjqYuBCREREAIDW1lbkcrlBQxfP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wGuLafHQSLESzeGqPKWbzab3HPP3di2EtNeq7SRPQ0wNzfH/v37AZiammLt2rWP8xbVqFHjaDE9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sAf/d0xvP8Lj7GUxvJ4bRM3U9jJkoHTZekp4OSXKZR4TSW6GPy6MUuxKMt4DVlG\nsahzite7VnQJVgZOl6spXHgTo9deYWt9RualYDrXvegigoswXmiGsvjVB7a76jYOksN/cHaFt4sR\n99Zb3fS1NaDXFs/z4PuX5qLxfR+edwkCkiAIgiAIgiBcr2iaaoYxlLGYJQA03u/UKKwAqtuQQzdK\nngKGCzgVbuImfSW6dFROi8p1aewC3AnAVs6TJOB6I1zmOiRYZCmR4TL0Ns+Y7WLYdNN0FnhuswL0\nz1Ik0TTcOuXix75jDhN6B1WEqsBIx/s+/Sg++tA3uAYxHZY3Td3CHJk0HjhdFh8HTj/Ma/EnmelS\n5tfUdgC1WXV8Xzl/UnYuinsDR0uRDZwuV1u48JqjKwRC1dL6cjGd0V1mrxPRRQQXYbywVaiUU+MA\nU9nGP9zhUiDLpbvlYqTR+n7vqyG5z85/f13X8da3vvWSjr3rrrugP0vXJQiCIAiCIAhji646kGpD\nc+M8pQABqHbRNlbzS+yKui+nQ8Zt8Jioy3yQ0oWhGVzoN3dx3eE2KK5kqlNq2KaQEi6x9MdWmSNZ\nzLWKbgJJB2if5WNMjyG2BUWDl89V8I5v3Y4auqghQAwTBTT8P3/xD/j8E2conhgqr3LqFsDQeX1J\nn7fFx4EzX6HYUNnGDke6wY5HjV3ckI4DPneWsryodZyPLfLB+xS2eN5RlQJXgtsYvfEdddbnbV4K\npn3dii6yshPGC6/JWkp/YlB7mQ+FzRr2ICxrM/JsdE93t3HxgN2rzL333gvT3LyDkmmauOeee56l\nKxIEQRAEQRCEMccwR5ec5KkSYlQbZ91Uro4W1xKsPVIixRTdLrFqAZ2EPFY3KRo0dw3cMKbDTqlJ\nBGQBy5DCFsURu8prKXKeEyaQdIHOWYoeugP0zqBcYr9qTxX/07fMoo4eqggRwUKaA7/yp0fx8KmV\nwZqkth2YupUCUym6xH3g/KPA2a9SbKjOApUZXrM3ATTm2ZEp7DE4OE3p/lk5wWsvnS5ZTLElDkZn\nYV4Jbp0lWcNE3fUb3pfCdSq6iOAijBd2hWJLZdsgkXwt+gaD7jBlSG4xFBTlVC8t8+Uqs3//fhw+\nfHhD0cU0TRw+fBj79+9/lq9MEARBEARBEMYYc4PN1nKer+kULzSdAkPS4/coVFiuQSeJYTOmIO5S\nIMkirgvcCbpGbF+VMVkAYlUeUwDIGVRruRRz7AqfuzLN54w6QPcMRRyYDLJVDpw3vaCOf3r7JOro\noaJElyjJ8QsP/g2eXA7VdWssFZrYy6+TvopECCm6nHuUa5vGDq6TDJPiUGOejpewwxbVaczXv3Kc\nglSxRnSJ2hRxtlLysxlObX0rb4DXvxWB5zoUXURwEcYLt0nFWDPW93XXdA4ul1JyE66oGs81mM7o\nAeFZ4u6778bRo0dx6NCh1UwX3/dx6NAhHD16FHffffdzdm2CIAiCIAiCMLZY7uh5fFEAKAbtokvB\nIlViRp4Cus37a7NKIGmrfMic4ovtUzyp71Cdcya5FilSoN8CoNM1EvfUeqLJ43QN8LfxOqI2S4oA\nAAbQVaJLUeBtL53Eq26ZQB09+IiQwEQ/TPFv/vBzOBuA3Yu0gu2iJ/cC0AYhukkInP8qcP4xulYa\nu5l1WTYZaewGPNXJNU/5urMQWHkGSNdEMqThoNxnKx2FNsOpjo56iPujqw0uxnUmumjF8+yChesP\nTdN2ATgOAMe/9vfYddMt61OuNY1CzKWUAkXd9bWDuqlU6Gsfknsp5HmOIAjgeZ5ktgiCIAiCIAjC\npRC21gsGa50uaaicFRqjCjSDG7Gr7pc+0D6tOv9MDJwx/jSPWz4OdE4wQLe/yHNrJs+VRhQWTJcl\nPMEiK5fSBOidV+uVCQbsQud9lW1AkSGBjvd+9jS+dLyLFiqIYcNEivnpOn714KtRg7pu3WB76OWn\n+Rqcqmom4gMzL0I+sRdBEMILTkFPAwoy3fPA0hMUhdwGz2G6FGJqO+mIKddAdlVlZk6MbvF8JcT9\n0a4Wy+P7d7mk8eguSxt1NtoCJ06cwPz8fPntfFEUJ674pEPISk8YL0xvdEuxUa3hRpFG68UWTb9q\nf5RXC13XUalURGwRBEEQBEEQhEvFbXDBvRZNpzBSFBQa7ApWQ3TLxxQ5N2AtnyJIlvD+qKvaKC+x\ntGhyN1svGy5FgkKncyRYoVMm7HC9YVoDF4Zlc2M3z4D+MrscIQOgAf0lwDBhIce//PY53LrNQwM9\nOIiQQsfxhTb+zQNfQGT6FFfyFJi8ifiJvxgAACAASURBVM4VFFwXxR0ce/Jx3P8zP4qX7mmi0aij\nse+b8e6f/QU8duw4s1wmbqIzpGwPnUW81rLUqdQs4i7FpHCFgsbVxPZHCytJQGfK5XKdOF1ktSeM\nF2mw/mejBtZRbBqSu3lgrSAIgiAIgiAIzwO8CdWZaA26yU49AF0cpkchJWrT5eKokhdNp0vFm6Q7\nJFjmv3kKRC3+fOImoDYNGD5dIppOgSZSDpSoq/JfVHkRlKOkOs2yn/4SECjho8iB/gpgWPD0HPe+\nZh47Gg7q6MNBggwavnb8PH75z/4HcqfBa88zYGofS5yKHP/ji5/Fv/+lf42//eynsacSYXdDQxT0\n8Wvv+xPcdfcP4qOf/Ay7FjXmAcNgOHCe0e0TrADdxcF7A/A9KV97NtSc5EqxvNEb3eXzXS7Xgegi\ngoswXgz/0TjV0X3eRz1uw5Dcq2yXEwRBEARBEAThuUHTuKjXhzZUDZtCCAC4NXYWymK6OgyLgbea\nrkp/JpkJU5YOZSr/JGozxmDqNpYHWZVBq+ks4bmQ0XmShhQYnBrXG6YHVKeALAOCBQozueoeFLQA\nw0LdyPCTr92Dhmuijj5spCgAfOFrx/GbH3+EDhHL5+Omb8Wx5RTv/8M/QNUAfAuoWRpundSxo6ZB\n14DHz6d497/+WTz29Gl2O6rPA9Do+C+dLsF5Ol/W5luW7aKDJR53NbHcQZ7OWkrR5XJFkue56CKC\nizC+bBSONYqwNXYhuYIgCIIgCIIgXAP0MjJgaDmrW6pURqOTRTeZ25IEXLhbFd6naUB1huuNuMcM\nliJX3YECLvBnXqg2f5VjRjeAJAbikIv9JOC/tj8QdAwXqE4AWQ70z/J8RTKIPTAszLgZ3vn6m+DZ\nGurow0KKAgU+9HeP4w+/+BRfl+kARY7/9qHP4GQ7h64BDUeDYwBNR8OtEzq2VyhAfP18gsO/9/sU\nmRrb6YxBwefLUpXzchqI+mscLQXLipKQjpx8aNP6SrHczZ0uWxZdhn7fzwPRRQQXYTwxndHt30YR\nq0F0LWVSuSAIgiAIgiAI1x+GuX5Rr+nsHpQlF7aLjjr8maUyXjSdAkp1O8WSqAv0lniOcIW5J5Vp\nYObFFFzcKh0zlklBJykFF9UVyK7xfG6VpUiVJkWM3lmuVfIEiAM+zjCwrwb82D+5GZZeoIYANjIU\nKPC7n/gy/uprZwB/Crlm4OOf+BSOrRQ42y+g60DT1WAb/PfmCR3bfA0FgN/5wMeQl6+3sQOozFKE\niHt03KQR0DnJf7PS0aJEl3SLIsjF2CjcdqsiiWnTmfQ8E11EcPn/2XvvaMnSsz73+XaqXXWq6oTO\nabI0mlHAEpJQQhICRigYhDEs43sxXBsQ4AsIG4PNkrANGEzwMrYvF2Mc4V6MzMXIBMkIJAGWkBUt\nCUmjMLnDdDi5ctXe+7t//L7qqu7pCT0653SP9D5r1TpVu3b4dp2ZXque876/17j+iNMrl6FdiSLM\nlZ/nYpmh/edtGIZhGIZhGF+0JJkkwzxRqmqVchL+CLvIxRBdX6llJ2sATse3Duv7w2BDAgLUZkSk\nUdKH7oSsLpkSpZDEEiijQfjD71g5lLVQ4VJrQ9LQ95mqUvXMpK82oeGWhIeLeM5++D9edjMOT5MB\nGQX4in/x+x/iI6e2GcYL9IdDRgU8uFmxPoAkgsUcshhW6nDLcsRK3bHV7TNIloL0WYKl47Cwonah\nSU9TlYohbD2ktU8rWnylnJcnG2z7uL+fHZYu03HYTyHpYt9IjeuL6Yi2JyJLqioY6Mv+x7KQXMMw\nDMMwDMP40iCtq/VnnqQG1VjCIc4kQ3w5m1yULui46fHNgxrj3F0NbUBBlEQJtA/DgTtnE5DiXN9V\nfKk//I57Gg096Um0TNeTNdTWVBbQX4VJR7JjsKmpQS7iFSdqfNOXnwjSZUjKmLIs+cnffj+nu45e\nlRM76I3hgc2KjSFkkaNdgzRyLOdw05LjyFKD+kIbFg7q+1RjWeG/jcWQT9OftRdtPKT1TrMvfRna\niwZXHuv8hfIlLl1MuBjXF9PZ8Y/HNCT38pCnbO4fT8MwDMMwDMMwvviZBtfOkzZUWeK9nqd1heiO\nurNj4jAJNW9LCvhKo5TLieRIf13joJeOw/47JFSSDOI6xG72naQYhJDaYcihXNT1pu1IxQR6m1pP\nWaiCJoyzfsMdTV5156EgXcbkjBgPR7zlv7yfV7zum1gdeGoJdEaek1sVWyOoJZIueeJYyR3f8Yav\nIpr0JDca+yWK6suwdBPUFoJ0Gei+ij5sn9K2qXSZVt+Memq/2mmS2s4G38bpo0uc4RWm1l5DTLgY\n1xdx+sT2G23rH8x5kpr+sTQMwzAMwzAM40uLfOmycdFOf4wdTwVLW4Jl0tMXcwh/7A3fPxr7JEjK\nErZPq5q+GOh7R5zByg2w71bJmyQJQboRuAp6q7MQ3WKoavvWYY2OztpaRzWWwBlvh3HRaxDXcFXB\ntz//IM+7cRmHp86YOkO2uz22b34lk7TFat+Tp7A58pzuVPTGUEugmUKrHvGtb3gtbJ+R0JlmncSJ\n7mn5JkgzRTEUg5BB04POmbk8F4KM2paQGvd3/vez09OGHu18T3YE9S5hwsV46jEZPPIfgWm/omEY\nhmEYhmEYX3pczHGcq5Z3kVqBplUt08lFwy1VdUyPIYyLbh3SF/liDJ2HdcxoWxIlqcG+W2D5RkmX\nKFEVi8t0rt4FSYvJQD+dg9axkE+5OKuwGXZClksB/QuQ5MTFkO97+QluO9TG4cmDdNno9Hnp9/08\nA1djI1S6bAw9Z7oVw8LRyB3f/93fya3HD0jgbJ/VNaIEakuQpLBwAJZu1rZirFHRk6HW0Tuvypyp\n6yiGqnAZbs2k1E7yJShdTLgYTy3KySN7Cy0k1zAMwzAMwzCMKHrk+OA41fbJQNvrYTjHcEtf8Kff\nJbyXrGkf1c9xDzrndI7+Gngn6bL/6bB0QkG6LpbQibPQNrQqgTEK46XjFBaPq9qktqh2o2IgATTa\n0jGDNYgb5EWfH/qa2ziyVMMBDUaSLoMJ3/jj/4Gv+fq/ysTlxBEMqHHHC1/BD//Ij/Gi5z0njJ3u\nSvp0z8/uJWtLSjQPShRFsfatQiXOYB16a8pxmbqOSV/3PtjQd6+d5rFGPPfXn6R0ebQR1Ne+vcj5\n6yxUxvjSwzl3HDgJcPLkSY4fP37lHatKgVOX57bkiyFp3DAMwzAMwzCML3mmX97nGW6pDSjJwh9x\nN9RiNJ1yVIaWH+ckHLbP6Mt/80D4Qh9JtEyGMNyG85+BrQdDq84oBOf2lZmycFCSp9bSsaMt2DwD\nvgiZLyNVyeRtiZisrvafSZ+zxQI/+fufYqs/IaKiR06fOl//4mfyxlfcynD1IfIkJvKFZE3nvNZf\na0r85IvQPiKpUQzVvjTqaCz15kPKb6k8ZLnuP2tA68gjszRr4TvWwv4nlrF5tZQhI2eaIzPl0UJ2\nH49Hq5JJ65JsV+DUqVOcOHFi+vKE9/7U1V308bGSAOOpw3DzCiG5DZMthmEYhmEYhmHMSGqPHBed\nt5VdUhWqPMlaEhLjnt6fygrvlbnS2K/tvVXlwPhKLTtJrnPtv2XWMpTmIdelpn0HazrPqAuDbWgc\n0LQjF0NtOVTEhKlA460gcTYhaXA4HfB3X30HeRZREdGiT50hb3v/3fzux8/S2H8DURyFe1yChX2q\nTpmMdG+jjipzBptaq690P1kdFo9BM4zBngzVXjTuQ+esKnLmv2uNtrVPf302Rnon2elpQ48manZr\n+tITxISL8dRg1H1kH2GcKfzKMAzDMAzDMAxjnqwh0XARJ1EyDKG1aV1VJuOuqlRgNlnIe41Wztt6\n3jk3ExT91TANaB+s3ATNI5IGaUPhtFEOgy1V0PhK4mK4qdai5kGII8hXwCUSPsPtEFbbg3EH4hq3\nNEv+9queQRxBQcIiXRr0+eU//Cjvf2ALmoeUAZMuSDIsLIcJRBP9HHc1bWm4rXWVpap7ak1NXGrs\n15onw5A704etU2E601Su+Nm46N0at7wb0iVfeqR0GfevmXQx4XId4Nzl/4UZl1CMHjmebL7/0jAM\nwzAMwzAM43Ly9qXjol0s6TDNb5mOhh5tzao7ak1NFwKJjTTXe92zkhzjnoRGnClkd+mEqkZAAiRN\ndJ3+ZrhOCf0NCZilm0OLTgT5Pu03Geq9cRjJPBmCi3juoYRvf8ktAExIWaZLXvX5qd/5IJ9bHWkK\nUjFUpU59GeqLqprxPkwi6mvNk4HanHwxa6FauUH37pIwXWkMky5sntQ47CtJl90at7zT0iXNrzxM\nZdyXgNpj7Iv+NcA5lzjn/qZz7u3OuXPAxDk3cc7d75z7NefcS/ZoHbFz7vXOubc65z7rnOs65zad\nc3c75/6tc+41e7GOx6Qqrxx2VF/anV5CwzAMwzAMwzC+eLh8XHSc6Uv+9A+69ZBdMtqefbmvLUlG\nOCexEceSEt1z+n4ybbOJUrXpLB6F5n619tTaykfxXpUuo46O7a3BpAPLt6giJY5m2TDFBPrnlbMy\nDGG13vOq21b4y192FIAxKQfYIhlt8Q/e+kHOD8NUpWKoazZWJF9G27PqlXFfWTRVESp3yjA1aUkT\nl9JakD59mExUYbMVRmJPs1V8Jdmym8JiN6TLlXJbxr09ly4mXPYY59zTgU8A/w54DXAQ/R4S4Cbg\n24D3Oed+1Tm3a0bBOXcr8D+A3wO+BXg6sAAsAs8A/hbwdufc+51zz92tdTwm3ku2XB6kVGuqXMww\nDMMwDMMwDOOxcO6Rf6zNmvqOMemjVqNFSYlpnsv8MXEGraOzMN3eqr6ndB+WKIhTWDyhfRaW9F6+\npPakKrQMTfqSKd1zgIelm6De0qjm+oq2lSX0QuvSIEzrqUZ885cf5ytu3QfAkJSDbDDprvLDb/0w\nPXIdX451Twsrymrpr4FLoeirOmX7tM6XNiSMoliyZ+kmZc+4RPk2k5GqfbqXSZeqULXOqDv7jHaa\nHZcujxKWO60k2iNMuOwhzrlbkOS44wns/p3Ar+1Gu5Fz7mnA/wRe/AR2fxHwXufc1+/0Oh6XUUf/\neMyT1FT+ZhiGYRiGYRiG8USYCob5OIK8LRFSjFXlkS9JUExzI6djlV2kL+8LB7V91JkJgM7DIbul\nHjJaDkPe0nv1dsiI6UtmFAPltGyfVLbM0i2QN3WdPIylLiYhL2akihcionLId738adx+uAU4RtQ4\nxAbr58/w5t/+GEW+qFYmCGG/B7SewSrE9RAMPFAwbhQry4UwNrp1UG1OUaTPoOjr2oMt6F/QOaei\noxxLugxDmO5ucFG6XBYbsdPSZdTVYw8w4bJHOOcS4K2oomXKvweeC9SBfcDrgA/Mvf/XgTfv8Doa\nwDuAELvNJ4C/BhwPa3g+8BbgwtxhDeC3nHMv2Mm1PCaT4SPtaRRfuR/PMAzDMAzDMAzjsZi20kxx\nkSpbRluXTi4ahtegEdJZM+RHLuoxbbEZbqv1p3s+TC5aDNLlkDJTXKLRykmqNp9iJOnS34KNk9BY\nkuzI6rp2fRmolKHSPQvjcZAuMbkf8gN33cnhxRoVjgkJh1njs/c/yM/998/gmwdm1ThpXaG4UQq9\nC1pbMVTuTOec2oiiTPIiitUytXRDkByR5NC4D9016IWxzVPPUY5038PNWdDwbvye6jssXS6fWAVh\nVHb/ya/zCWLCZe/4biQzpvxD7/3f8t5/zHs/9N6ve+/fDrwM+OO5/X7EOXdkB9fxI8Ct4fnvAS/0\n3r/Ve386rOEj3vufAu4E3j93XAb8pnMu3cG1XJmyeGQok3P6Ryiy/2QNwzAMwzAMw3gSpLniCaZE\nqapChltzk4vyMMkofLFP66oKcZGqXLJ6+L6yIYkxCdOFkpoCcVtHNcEozXVcvgxEqhopJ5IuvfOq\nOGkeVFtPmgfRsKRw28kQ+tNKlwtAwmJS8ne+7lm08oSCmJKII6zypx/7LL/+gZPQPipRlDYkVRb2\nAT5MVcpD4G8Huhd0z1EqkeIiaB/RI4oAFzJdQujuqKfslynFYFblUxa783tKsp2VLllDFU2Xswet\nRfbtdQ8IWSw/Nrfpz4GfutK+3vsC5adMwqYFJEl2Yh1t4IfDy/PAt3nvR1fa13u/Cnwt8MDc5luA\nv7ETa3lUfEjCvvx/olpL/wgZhmEYhmEYhmE8WWqtSycXpQ1lqcxPLnLRpV/Gs4aqR6IYWke0/yRU\ne4wHIUS30PbWIT1qixAnajGqL4FD33PKStJi46SyWloHNekoqeka+aIEx6ivTJdxHwbnwTuONmPe\n9Oo7SRPHhJQIz1Eu8Gvv/hh/9JkL0D6mKpSsJcnS2C9JMdzQ2qtK99lfl3iKIkmNKIXFG6AeKmO8\nD5kuA4XuluPZFCcIk5r6kh/VZXmbO8VjSZcrfV98PLKFaxJNYcJlb/g64Njc61/w/vIk2Bne+4eA\n35jb9M3O7cj847+GBA7AP/PeP+Ywcu99D3jTZZu/ewfW8ehMS/PmSXP9D2IYhmEYhmEYhvGFki9d\n+sfcvK0Kl1EHhei2oRpLOEDIcWlIikSpphJNQ3Sn7UKdsxq7HKfQPg7tQ/oO42KJg2whVJkEWTDp\nw+o92tY8rAqVJFNVTH0RKGHYVUjvqK/2Iu+4/WCLN77iNgAG1KhRcJwL/PzvfZhPnO1JCJUjtUKl\nuaptRh2tdfqVcrgh8TKVSw7JopUbJYiSTAJp0te46K1TWue8XBltz6TL1cqPJ8qjSZfJ8MmNqa41\nL61w2gNMuOwNr597voFaeR6P/zD3/BjwFTuwjtvCzwnwH5/gMb+PqmGmPN85t7wDa7kyxWUBTFFi\nuS2GYRiGYRiGYewcF+MKppOLwqSicijJMM13GXdnfwyOU8mWNFf1SPOQRMO4Oxv9vHVKYiWpqdqk\ndQTSUBnTPKhjJ2Mdg1dw6/lP67ytw9A8on3TBY16ptC5+xckN/rnoZrwoluP8q0vvAGALjl1Rhwu\nzvJjb/0QJztewbnTyUXZgu51sKHvWt7r/gYbkjBT6RI5Vdis3ARxuMciSKfRFmw/HPJcpnLFa/uk\n/+TkxxPlsaTLYOPqz1dr7ekf80247A0vnXv+vtA29Hh8CJjf7yU7sI5/BHwK+APv/fnH2RcA730J\n/Mncpgh41g6s5fGZ/kO4I8U9hmEYhmEYhmEYgcsnF0WJJMdUnkRpeH1ZnosLk37ytlqFqlLHjLYl\nNDrnZu0r7cOqXnGRzt8+rp/jvuQOHvqbcP5uVV40D0q8uAjSJqQt8BMYdjTqedwLI6MnvPZ5t/DV\ndx4EHD3qNBmyODzFD//nD7Pp81lmSZLrPvI29NbCFFgPuCBhRrO2KuckW/bfKsGU5BIbkwEM19Ve\nVM1JF1/BYFP3M9zevd9Vkl35e+GTlS55W21ie4AJl10mtAI9bW7Th57Icd77PnD33Ka/9IWuJZzz\nm4HfvMpDT132+sAXupYnRB76Hg3DMAzDMAzDMHaaOL10gk2SS6oMN9VSk9T0GM3JhLQB+DAqOoxg\nLieSDqPtIF86oZ1nRRKleUCSIqnB0lEdP+hpIhFhvPT6vdBY1v4LB1VxkrdV7TIdyTxY1zV6a7hy\nwre97A7+0ok2FY4eOYv0cVsP8Pd/638xzvdJosSpHrWW1tpbVZWNc3oMwiSiONN+LtLnsHiTMl6S\nHMah8mewHkJ83WxykS8lXUbd3Z36k9QeQ7o8iQqbfFGfxy5jwmX3OQHMpTJx/1Uce2bu+Y5UlXjv\n7/bev/UqD7u8xGT3/7vJGnvyP4BhGIZhGIZhGF/CpPVLcz1qLf3Rdzq5KGvOMldAX/izpoRDUlNF\nShSHvJNRECIXVAkSZ6FV6KDkS1VAtgjNo8BE+05zUdbuh+45qO+D1gFNPMJB1lY2TDHSSOnBJoy3\nYbBGEkd8713P4cZ9DUoiBqSssM3qqc/zT9/+aXzrsCpw0oUgl9r62V/V+Vz4WjfYDOG5iapJXAT1\npoJ0o0jHTIaqsOmeh8Ea4GfSpZro8xpu6by7xaNKl4GufbVcaXLRDmPCZfe57bLXD1/FsfNtPzs5\nGvpqOXbZ68srXnaWOAs9i4ZhGIZhGIZhGLvMJZOLQp6Lr2Zf4uuLahcqx3odxar8cLEqXtrTEN2u\n2pFGHeickSiJEuW5NA9CraFA2+YBhdlORzV7r8fZT8F4Sxks9X2wsKJKl/oKRBkUfUmXfhhJ3TnL\nQr3FD73mWawsZExIGZNygC0+8hef5Nf+50OagFQMJYnmK3r666pIiZIQGNzVfbkofBYRNBY1RSkO\nEmYy0H7bD+v6vppJl3K0++Oi4dGly263NT1JTLjsPocve929imPnG9IOhvHSe4pzLgK+cm5TD/jE\nVZ7j+GM9mP+MXBTGpllui2EYhmEYhmEYe8T85CIX6w/A5ViCYSphRkEygCpBokgCIGuqvchXEihF\nGBm9dWomOtpHFYqbZspvaZ9Q1ksx1iQg7yUqznxSYqN9SKKlEaRLY0W5MpOuhEt/XaObt06yf+Uw\nb7rrGWRpxJCMCsdh1nnrn3yE93xuVdcuxsqFmUqXqoBRT+IkycAXqmCJM91f1tB3s8YBfT9LavqO\nNukrU2bztFqp/Ny46Elfn9FgfffGRYPWcqXBKuPepeO8rwNMuOw+l0cgX02N1XjueQRci7KPl3Np\ndc3vhCyYq+Hk4zxmuTZ5ey4t3DAMwzAMwzAMYw+4OLAjfEVOaqpemfTUTuNitR7Nt65kTbXTTCcB\n5W1Jk0l/1ubSPafjsgVoH4GFwxIo1Qj23aoKk8kYisFMaJy/W+dZOKjz1pcgjlX14mJVuvQ2FII7\n7sLWQ9xy46187yufhnPQo0YEHGGVX/y993P3hTE090uqTMdb11oSFOOhJEVckzCa9FVNM72/6YSl\nrKmwYNBnMtqCrZOhOmdOroy7uz8uGlSFU7+CdBl1gyS7PjDhsvtcPuj7auqrxpe9zq+41+7y5rnn\nBfBPdvVqSW1XT28YhmEYhmEYhnFFLp9cVGtJRIy2Vc0RZ/q+Mu7Njqm1VdFSa2tUdFKToCknkg/9\nNQmANNe5W4ckUrxXvsr+pwGVzlGOdO3+BqzeowqahQM6rtYO0mU/VF5tQv11PUbbsH2aFzzrTr7l\nBTdCCNGtUbA8WeMnfuu9nB9lsxHQSS1k1zSUBzOZSpdM8qQaSwRd/AxCFk0aQoUJ47AHG6ri8V5r\nmjLcmr2/m6T1S0OPp4w6l/6OriEmXHafyytcrkbzlZe93lMb4Zx7A/DVc5t+wXv/mSdxqhOP83jB\nF7hUwzAMwzAMwzCML5zksjzJvC0JMg3RTRsSJdM8Fxep/aYc6ct/+6i2jXshG0UyBI/aeVqH1KbT\nWFEVSxzD8i1AJfFRFRpZ0j0PGw+pjaixT9UcWRPSBBb2qSKmGEnoDLb0s7fG61/yHF5++wEqHH1y\nFhgQ987zD//L+xikSwoETnL9zJphClNnFoobJZInVTETT3kb0poqXeIkfAZVEEqrGoXt3Fyliw/S\npbf7uSpZ48rht8Pt3Z2a9AQx4bL7XN68djX9MpcLll1shLuUkK3yb+c2/SnwlidzLu/9qcd6AGd3\nYs2GYRiGYRiGYRhfMFlDD5A8yReVVTLcUjVH3lLL0FQwTEcq+1LZIu0w+nkcsllGHdh8SC05Loal\nY5pCVGtJdOQtaOxH0mUgoeMr6J6FzmlNGcqXVOmS1CVJGvskNIox9M5fDOp1kxHf8bXP5xlH2hTE\n9KmxSIeN86f5mbd9kKp5WDIlbQZZ1FJlz7gnQVGM1PKEuzSHpbaotqiFA9o/zSWMRl2ts7/KpeOi\nQ+jwqLP74iNbeBTpsnXNpYsJl93n8t9wehXHZpe9Hn6Ba3lCOOeWgHcA+8KmjwHf6L3fxbhpwzAM\nwzAMwzCM64RaexZ3EGf6Ul+GCUQ45bLMZ4WkjVCxkqp6ZTqFaNKXQBluKPOk1lbVyuJxVapkDe3T\nPKKKE1C7kPeSMd01TTyqL0kqNPaF1p4FheqOtyVdumeVrbJxP1mU8AOveyGHluphclHGPrb41D0P\n8qvv+gS0jupespbalrJmCPwdSBJVBeBDmK6e4pzWXmtDvqz7TDK1To06sH1GuS7MTS6qCkmPwebu\njosG/X5qrUduH25JYl0jTLg8AZxziXMuv4rH/Od6uXBpXMWl65e93nU955xrAr8PPCts+hjwtd77\nXW7AMwzDMAzDMAzDuE5wTlUl04EeWVN5LsVAgsSFKo/5rJC8LWGRNpR5Mq1gKceSL70LqkapNbXP\n4jHJmTiFcqDJRVECeF3HexhuShp0zmrftKHw3Kyuypi0pclIkxFsPazrrX2OdqvJD73u+SzkCQNq\nVMQcZIO3f+izvP3jD6i1qRpL3ERxCAAe6/jhtgRMOdF1po0WUSzxU1+WKEpyrbcYa42bp3T8fIpG\nOVZb1W6PiwZ9rrXLI1SR8JnsSe3CIzDh8sR4MzC4isfL5469vGntaiYN7Z97PvDe72rcsnNuAfgD\n4KVh058Br/Ter+7mdQ3DMAzDMAzDMK47oujSEN08hM6OOhIJcab35vNcam29n7fVWpRkamvxIRh3\n67QqLqYhus2Ds2v4AhaPAnE4b5AEvQsa4dxbU1VMUtMxaQ6NZa2j6KsyZvu0ZM3qPRw/fJjve/Vz\niSNHlxwHHGaDf/NHH+ejD66rQgbmMl0aEhPFeDZeuRhKHE1lSZTomo2Dep7k+pwmQ8mhzYc0uWm+\nHakIoby7PS4atNbs8hhVtLbdrrK5AiZcdp8HL3t9/CqO3Tf3/MwOrOVRcc61UBvRVBa9DXi1937r\n0Y8yDMMwDMMwDMP4IiZOZ5NwXDx7PtxSq1AaAnMv5rmkEiHDjipS2se0fRz+dj7pw8aD4BLt2z6q\nPJd8SRkwcQYLy0i6RDp3VcHgglqYhh3lqMSZjklz5b94JDbGfVXDjLuwfi9fduuN/PWXPwsfJhcl\nFOyr1vnZ3/0wJ7cLZcLEaXhkABP4XgAAIABJREFUEkRFkC7jnqpsiqHuZSos4lTSpXlYsiVdCCOt\nw+SkzdPab34s9LgnabTb46JBsiu7rLHEe117j6WLCZfd597LXt96FcfeMPf8gS98KVfGObcIvBP4\nyrDpV4Bv8t5fm7orwzAMwzAMwzCM64W0PquamOa5TENhvVc7znxOSNqQgCiGGgHdOiQ5MwkJEaNt\nWL8viIoYFk9InmQtCYH6itp34gwIFTTjoTJSxh2dN19RpUu+CFmuipNipDagQQe65zS9qHOWVz/3\nVr76ubdSEtEnp86IbLjGT/72B9iqsiBNGiEMt64pScVoFqJbleFe9s+ERVILQunwbHoTXvfYOw/b\nD2u/ebcy2pYIGm7u7u8L9LmklyV0XJQu492/fsCEyxPAe/+PvPfuKh5/MnfseWC+SuT5T+Sazrll\n4Ja5TR/dkZt55HUWgT8CXhQ2/Zz3/nu893s2EckwDMMwDMMwDOO6Jp8L0c2akiHVRBIBp0qTYu7v\n1bW25IRDVSz1xVmei/ca47x1SvvFKSzfEORJCNFdOiYxMJUGVZiSVAzDNUu1zyQ51JYgq0nuTHoK\nqx1sQu+cwnRHHf7GV97JHTcdZYIyXRbpsb25yj/9bx9hkrZCtU6oVMmaureyUCtQVYQcmkkIAw7S\nJavrdfOgqnOSfDaVqXNG93gJYVz0qDdrWdpN6qEC6JIlBOlSTnb/+phw2SveO/f8+c65y6cPXYnn\nXfb6Izu4HuBiQO47gBeETf/Ee/+jO30dwzAMwzAMwzCMpzz5Ugi1RQLGRaGNp6dKFRfPvshPp/oM\ntyVnFm8IIbshz8VXsH1KX/5rLUmOxWM6Jq1LtrSP6NxpQ0KjqqC3Gtp9tjXtKG3MslxqDQmQSTfs\nu67cl82HiCn5oa97Nof2rzAiY0LKfrb53Kmz/Oq7PhVGX1eSLqD1lGFa0jREtwiBuLUlKCaz/ZoH\nob5f+8S1IF22YfNBtUHNV7n4KgQBb+/N9KBp1s08vlLr026H+GLCZa9459zzJvC6J3DMX597PkFV\nKDuGc64O/C7w4rDpJ733b97JaxiGYRiGYRiGYXzRcDFEN7o0z2XclQSJU4mR+TyXrKGqjrwNizfp\n2HGo7qhKWLtX1SRprpad1mG1LMWJrtFY1rjm2oL2KyYwWIOylNRIapIcca5WpOl45ElP5++dV7XL\n+v00soy///XPJW+06FGjJOIQ67zzEw/xBx97cNY2leYSRmld9zYVKN5LACXTMdlBWORtWDwcQngr\n3XdVSaps3Der/LniuOg9aO/Jl2bVSVOm4meXMeGyN/w+F2dpAfA9j7Wzc24F+Na5Te/y3q/v1GJC\nhc1vA18VNv0j7/2P79T5DcMwDMMwDMMwviiJk5loibOQXYLyVarQVlPNtaukDVXFDLehuV8hulUl\nIQJqz7nwWQmTKFH7UWO/KkcoobYISSrRUmvr3OOBzlcVaj9KaspfSWqSHvnSLPy2KqFzTnJj+yQH\nWg1++C8/lzLJ6VHHAYfY4N/86ef4+MkN3VOUSZpEic456UHlZ2sebWv8clybTR3Kl1SRk7UlZqJY\nQqa/DusPaK2PGBfdUYVPVe7e7wskj+phmtM8u31dTLjsCd77+4Dfmdt0l3PuWx7jkB8D5hN+/vVO\nrcU5lwC/CbwmbHqL9/4f79T5DcMwDMMwDMMwvqhJc1WRQBAP2aUhunF2aeVGrT2TI4vHVMkyGc3G\nSY+6sPY5VYpEsfJcai1Im9qndThkv1TaXhWqzihHIdS2CPkrkSpq6isK1XWR1lGONbmotwq9Czzj\nYJM3fvVzGJDRo05CwUq1wc+8/VM8vB3WlDRmwb0u1qjpspDE8V7Xbyyq6scjqdFY0VjraQuPi9Ri\n1T8PGw8pz2Z+QtGkP5Muuz25aLq+y6XLLmPCZe/4aWBeof2Kc+6V8zs48f3A35nb/Gfe+//2WCd2\nzv2Jc87PPW56lP0i4D8B3xg2/QTwC865/Cof8VXduWEYhmEYhmEYxhcTtWZoU3GzPJf5EN0onlVQ\nTPNcxj1Jk+WbNZFo+hqgewE2T4YQ3QyWb1TbTtqYSZfRls6bLUiydFclOyZ9cF4VJ86p/ai+GEZN\nF0H2DCRdOmdg0uWVT9vPa5//NPrk9KmxwJB0uM5P/MGn6BXouKyp8yU1naMI1TXlROsehdHXU1yk\nKp6lG1SVg5dkmYx03Yvjouc+x3FXwmmwscu/MGaVLtMcnj3AhMse4b3/KDCfkbIEvDvIkl90zv0q\n8BngX6L/LAE2gO/bwWV8C5dmw/w4MHgSj2/bwTUZhmEYhmEYhmE89Zh+eXexRAmoAmTSlxjBzyo3\n4lTVKcNNPd9/m0Jvx93Z+TYfVKtQtqDzLZ1QtUiaA06BuINNCZAkVNH0V4Folq1CpGvmi5Iu9UVV\nwngvsdE9DxunoBzz7S86wTNvPsJAg6JZpMfG2iq/8Mefp3TxbHIRSPwUA8mS8UDCpZxo4tC0xQr0\neTQPQvu42q98+Go7HsDWSegHsTIvXYZbWttwe6d/Q48kivQ57pF0MeGyt/wsEipTHPAK4AeB7wSe\nPvfeFnCX9/5TO3j9/PF3MQzDMAzDMAzDMB6XacXEtArkYp5LR1UpUcIlUZ5pXdUrwy1Voey7OeS5\n9PW+92ot8k77NQ9C84hyYZJMLUZJHo5vSWiMeyHQFj2vtWaSpxHyXOYnDvW31OKzfYao8vy9u25n\nZWUfHRqUxKywzcfvO8uvffCMpIpzsxahtA6Tjr7FjsOay1EI/Q0tTc5JKLWOQOuoXk/tyrgH6/fq\nJ8xJlzAueq8mF0WRPpto9xs3TLjsIV78IPBNwMcfbTfg7cDzvfcf3rPFGYZhGIZhGIZhGFdHnEhq\nQMhzSfV8GEJ0XXxpPkmtHdpxurAQKkGK0WycdDGGC59WlYuLYOlYCM6t6dv7worae0b9WebLYBOq\nERCCbethn2lVzMI+rauYaJ/+Bmyfgf45Ggm85S/fCXmbTSSMDrLB2z58P++5tytxFNdClovT81FH\n9zSVI9OKnigJFT9B0iwek3ghCtObglhZ/ZxalvAz6eLLvZ1cFMWz39su4vxuh9MYj4pz7jnAs4Dj\n6D+1U8B7vfcnr+nC9hjn3HHgJMDJkyc5fvz4NV6RYRiGYRiGYRjGVTDqSKJUBQzWZ+G5+VKo8pij\nnCizJF9UW9GFz+qYaRYMQPMQ7H+a9psM4MJnYNiFoqfw2u45TTNybtZOtHAICBOC0rpyYZIc/GQW\nmusjSaI40f4Hnw5pg0+cHfCWt/0F7WqbNj1GpKwl+/npv/Js7lhyCtGddCWRykJVLllLIicJMqa2\nqM8hSiWAvFfVyvp90DmvY+NEFSbNo3DodsBd+vnENVWfLOzf9QqUU6dOceLEienLE977Uzt9Datw\nuYZ47z/hvf8N7/3Pee9/3nv/n7/UZIthGIZhGIZhGMZTnlorVKEkEhGg6pBpRoubEwtxqmqY0RZQ\nKc8lyWetNgC989A9KwmT1jW5KM0kPqZVNf1VXS+tQxFED1GQIhO1OxV9jXleOKjJRZQa8VwWMFiD\ntfugnPCcwzXe+Mrb2KBNjzo5YxaLTX769z/D6iiWbEkXQpVLMhtt7UtJJu9n46LLkcZcuxAovHxj\nmGgU6zOpKug+DBsPSL7MU450nr2YXLQHmHAxDMMwDMMwDMMwjC+UfGlWXZKE3JNJXxUq3jObjYLy\nXqKQ5xInqmaZb9PxHtbv1+s0h/o+aB8L1Sm55Edah94FZbREsVpxin4Y4zxStUwapiNlC9A6EDJe\nJpIuk6GqXtbvAyJe+4xlXvtlR1ljkQE1mgyo+uv81H//PENSBQJPQ3STTKJl3Jfg8V6tUpO+rlEO\ndY/TnJvlm6HWAJfovarUVKats7OqninjHgw7ezO5aJcx4WIYhmEYhmEYhmEYXyhRNAvRnearQAjR\nDaOU5+VC3p613eRtWLlFUqMs9H5Vqt0oylTJ0j4a8lgSVbvkSwqm6K1CY1nnH/dVReIiyY+srsqb\nYQdqbaqFAwyqiMoXs6Dd3qqqTXB814uP8awTK5xnmYKYRXo8fO48v/hnpxW3Uk1mMinOdK1iGDJj\n0H0Wo9CCNJiNll7YL+mS1iRdiqEE0frnldviuXRy0Wh77yYX7SJ7N4DaMAzDMAzDMAzDML6YiVNl\nsww2lWkyWOfiFJ7GikRIFEYuu0iiZbABk1RTiSZd6JyDqC1RMRkoZPbgHRopvXSzpMrIQ1xBfQn6\naxIqC8vQXVP1SZyG43tQX+LBz3yUP3rnO3n3ez/CUjbh1n0ptz79dr7ihS/kyEEkdJKcdOEA/+Cu\nW/ih3x5ydrPkKGss0+XDnz3JW1fq/LU7m5I9cSIxFCVa4zQ017nQUpTM3staEiitQxIy6/fCpJJ0\nATj3aTj2PAmci4TPzEWhTatxDX6ZXzhW4WIYhmEYhmEYhmEYO0ValyCIU1V4wGwKj6+4JCg2ztTu\nMw6Bu0s3qiVnmv0CkjabD6qiJclg5dYQVltTBUveUh5LWUJjSVUhZSFZ4T3v/ZM/4m//6E/wgfe/\nn4wxF/oVD25M+Pzdn+Tf/vt/zyfvvhv667B5CsY92nHJj3/d00hqdc6xREzJEh3e+v57+MDZQq1I\nUTobA+0iGA9U2TJl3NP6vNf2fHFWpbN4QuG4eEmXUQfOffKRn+P0Mxtu7c3kol3AhIthGIZhGIZh\nGIZh7CS19kymxDVtK8ezSUZROts3a+r1KFR07LtNcmIqMLyH7Yeht6bz5W2JmSiGuA5pS5Knc1bn\nyRagfwGc476Tp/jlX/4l8shztuvJE0cew2q/4mwP0gh+523/jYfPnZW0Wb8fqoob254fves2hq7O\nKkvkjFmiyz//489ysh+rymZakeIiwEsSlRMuZtWMuxJP5VjCZCqMlk6o2iXOJaDKkYTPubuRopjL\nuqkmYVz0hqqCnmKYcDEMwzAMwzAMwzCMnWQaFhvFqkCZZrdMeqoQqSaXttDU5vJc0jqs3CwRMc1G\nqQrYuE/SIalB+7ByURzav9YEIo1fnobo9lZ52++9g/G4IokgieF8v6KZRVQVXOhWdEYQR/CBD31Q\nVTH9Vdi8H0h4weGUv/nSG+nQYJMmDYYko23+yTvuoetT3UccxJGLJE9G27OAYO9DjkwDioHuOV+c\n3V99EZK6rlsMoXMaNu5/ZIhuMXzKTi4y4WIYhmEYhmEYhmEYO00UhclFiYTKlNH2LER3Kl2iWJkv\n5UgtNvUVaB+/dFR0MVL+SVzTJKLlm9V+FEWSLHlbxw/Wob5CNRnx6Y/8Ob2JJjHXYkfhPRujiuV6\nxKCAs13PpIK7P/1ZKuckUboXJD9czF+5s81XPX0/67Tpk9NiwNbmKv/s3SepoiRUtIRwYBfpQsNN\nrQ83G1Gd1Gb3ki9KEB24I4T65qEKJtxfd5VLqlxAx466OvdTCBMuhmEYhmEYhmEYhrEbJJmkSFLT\nmGTgYiBsOZmF6E73TRdUFVKOoX1E46DnpctwS2Oc87aqS/bdJmkTpbpO1lBr0rjHKGnRisfkCfQK\nVYY0kojOyNMrPPsbEdsjz5ltT1lNGBVe8mbUga0zMFjDec/3v/wotx1qciFMLmox4O4HH+b//fiG\nKnl8wUVB4pyqcYYbM5lUjsG70Da1LRlTa0O9Dftv130nuYTLeADn/wImc3kw8/c+7Ei8PEUw4WIY\nhmEYhmEYhmEYu0W2MGv7mbbgVIXkQzGcZbxM970oJhws36D35/Nc+mvKdKk19Vi+SeImyVQlE9Wg\ne45aGrFdZNy46Kg8bI0qAFpZxGqvYlJ69tUjNoae9VFKLZrMwnCHm7B1GiYDcgre/LU30apnnGMZ\nh6fBgN/90L2879Q4SJeS2VxnJ8ky3JyNkC6HQSw5bY9TSZfmgZBZk0lKFSMYduH0R6/QPuRnIbqT\n4e78rnYYEy6GYRiGYRiGYRiGsZvki6r4qLVnE4qKoapZiqFEC+i9fHEuzyWH5RtVRTINja0K6JxR\npUdSg9ZBZbqAqmjyNpAQdS/w5S98AVsjuHnRUVaO7eFMupzveTzQrjluffbziRYOSGQkudxJbxW2\nTkFVcLBW8mN33YyPEs6zREZBgwH/6t2f44EOYdR1FSRJECWTfphWlM/uNwlBucNNrT1vw9JxWD6h\nzydOtN9gHR7+GBDPPA7MJhcNNpT9cp1jwsUwDMMwDMMwDMMwdhPnlOcSp5C1ZttHXVV1lBPJFQh5\nLu0w1agjAdM+LhExZTKUDAFlxCzdKHnhCK1FdagmvP5VL2HkHSVwuAUT7+iNK5yDLHFc6FXUMsfr\nX30XNPZL/JRDiZuqhO45Pbzn2fti3vjSE4yosUGLnDHpuMvP/OE9dMZAHCsY13s9XCyxUo5nVTzF\nQM+rIE7Suu51/9OhsU+Ti6JY97p1Fi7cPasKmlKOJaMGG5I81zEmXAzDMAzDMAzDMAxjt4kTSZe0\nPqv6mLbJFEMJiijR5jTXBJ/JQIKheVBTieZbaUbbavuJa5IS+5+utiIXQWMFkho37F/k+7/rb9It\nHK3M0cqgP3H0J16Ti9KIb/2O7+XGIwd0/YX9ynEpR1pnMVaey3AbfMHrbm9y1x376VCnQ4M6I7pb\nG/z8e05S+kj3VY21vqrQOftrIasmDTKm1PNyDIMtSZ5aE458GeRN3bdzkjNr98HmyRDCO0cxCO1F\n13eIrgkXwzAMwzAMwzAMw9gL0jwIhtYsLHfaJjPp671py1GtJQEzzXNpHVGobjkJx3kYrEHvvCTF\ndNyyiyRg6svgIl70zJv5qX/8kzzz+S/lxpUatQQKV+MlX/kKfvZnfpqXvfxVCtud9HWOxn6gmq13\n3IONB6EY4Yox3/OiAzzjUJMOCwzIyBnx+ZNn+fWPXgB8yJwZzu4NpyqZtCFxMh117eLZVKasqfHZ\nR54HSar7Aa3p4Y9L+DxiclFX24fbu/O72gGcf4rNsTa++HDOHQdOApw8eZLjx49f4xUZhmEYhmEY\nhmHsIr01iYzB+mxbthAqYBqSLCC5MthQdUx9WRUhmw9JqkzFTNqApRv0sxzC+v2qfAEdO9hWu0/7\nGFU1YdjbIj9wG1GSzqYlxTXJG1+prad/IbT8NCRPqhIWDmoUtYPVScIP/M799AYDlugAnhE5f/tr\n7uArbwpSqBpLnMShaifOoXVY9+YrVblUBeAll9KGJMr6g8pvKUYhLNhBfRFu+SqILpMuOFXzNPZJ\nGl0Fp06d4sSJE9OXJ7z3p67qBE8Aq3AxDMMwDMMwDMMwjL2kvnTZqGgkYMZ9BeRO81ziNOSqTGZ5\nLgsHlJUyZdKHzsMSHFGqkN1ayInJw3XKAgbrRHFGY6FN1F8FvM4XJao0qa+oaqYaQ74SRjUPQmWK\nk4TpPgzOsT8rectdJyBO6FHH40gZ88t/+jnu2xiptYlIbUNlaC2a9CWAsrbWVk1m+SyjjvbNmrBy\n02zcdZxqnYMtePDPdX+4mWy6OLloU+1P1xkmXAzDMAzDMAzDMAxjL4liSZf5UdEAoy0YdiQ7pnku\n2YLkw2QgMbKwT0JkfkrPqAPdCyErJYEDT1drjnOwsKJcltG2QnrjWqic2dKx+aLWU05m541daC1y\nqnBJW5oW1HlYa/QldyxHfN9Lj9InZ0yNCE80GfKzf3gPW8OJKk6KsURKMVKFy2BdEqc2J12m9znc\nVMVLtqA8l/ZRrTWKAQ/d83Dqo/os5tuLqkL3MtycTXK6TjDhYhiGYRiGYRiGYRh7TVKTeJgfFe0r\niZHBlkTIxTyXtmTKaFs/m/slNKYRIb5S9Uh/TUIibcDyLTo+ztRyQyThUQYZMuqGsN4oSJdIHiNv\nw3gIWa6ql6oIIqQJxQTWHwjbxrz61gVe/8xlOtSZIHHU63b4Z+96gKIsJZUmA+1fDiRdumcBJ7Hi\nvdbu4jAKe1Ov0xxOvEjrSupaIx7W7oELn9H+bk5nlCN9ZoON2WdyHWDCxTAMwzAMwzAMwzCuBbWm\nxMP8qOhyLLEy7s4qQaajor3Xe1lDEiWKLz2uv6ZqlziD5gFoHtZ700lA3kPvgrYlNe1fjpWzkjVR\n6G2msdLjATSWtL0a6r3agtqe1u4DEpj0+c4X7ONZRxboUgccFY57z6zxnz50VqG5+aLupZyoosUl\nsH1aVTxJLsECgJuNi8ZDvgC3vELrTPJQ1OIVots5Fw6ZUxqTnqqDhls7+zv6AjDhYhiGYRiGYRiG\nYRjXinxJmStxbbZt0g8tP16Tg2CW+VJOJBbyRQXpzn+tn/QVyFuMVQWycpNEC4RqkUzv9ddV/RJl\nahEqJqoqqbUkSdIFyZxiCM1DkiTlUBkqaUNSY/sBSOpkxYAffcVhlhcyeuQ4PCURf/wXp/izezd0\nnnRBGTXlWMG3voTOWYmmONPraTVPOQ5jqL3aoW58sdqupp9PVcFD71MVjvdzeS5IRg23da3rABMu\nhmEYhmEYhmEYhnGtiCK13uSLl1ZsjLZDyOzCXJ5LU8+LgcREfVnVLhdHTHsJlOn0oziFfU9TBUsU\nJh3Fcaig6c1kxaSn6pIkm0mX2jJUHqiUp1IWuu40U6ZzQdUyccZKOubNX3MMH6dMSHFUVDh+9b33\n88BaXxUzcaLqm/FAx486Wme+GFqKqtn9F0NVxVQl7L8Njn6ZjklC3k0xgfv/FJW9zE8uCiG6g+sj\nRNeEi2EYhmEYhmEYhmFcS+J0Jl0u4iUOBpuqgnFhOk+tDTgYdyRaGvtUeeKCdKlKiYzhtvarNWd5\nLkke2pecxkBXhcJwfSWZAqGlqAkUuu5kJNHRPCRJMxnM8mU2H4LJEHA8bdHzgy89TJcciPDAZFLx\nC398D93+SOcCrXvcU9VL/4Ke54tak69mEmjck3gpRnDiK1StE9VmcmnUgQf+R8hzmWut8qEtqb9+\nzUN0TbgYhmEYhmEYhmEYxrUma0g8TFuIQEKkHyb7TGVMnM7yWIZb4bglVbBcrBAZSbpMQihu66Ae\noFDcrCHR0lsNo6BLVY0UI+0fZ6pkAVW8jAdQb0vujLaVxVJf0c/1e4EYyoKvuinnDXe26FInpWJC\nzPr2gH/1Zw9QFRMdX5WqXikGENdh+4zWML2/+dDb0bZaqMZdeNqrNaHpYoguynI5/ZEgo+ZDdEMO\nzmDzmobomnAxDMMwDMMwDMMwjOuBfFEiY35UdDGQGHGRRAkoRyXOJGRGXagv6r0kmx037s6mEuFU\n5VJrzqYSxZkqSIZbYVpQMRvjHCdBuoTrJJnkTeuQ2oMG62Gi0ZJCdDfvkwgphnz7l+/jzoMZXerk\njOmR8RcPrfNfP34WheEu6TqjbaDUtTqndZ1aCA+eOpKLk4tKZcjc+Q0SQRdDdIG1e+HCPbrH+TyX\nSV/3dg1DdE24GIZhGIZhGIZhGMb1gHPKWZkfFQ1qn+mvqdVnKmOmmS9FGLtcX1aVS5Lr/Wmey2gb\n8Gq7mea5xJkmDsWphMR4oDBa5yRDqiKcqxbCeheASDJm8USojllT0G7WVBVO5yykDWrlkB955SGW\n6gkjMhqM6ZLzXz96kv/10LrkTbYggTPYVDtUOdG46LShh0OSBcLI682wpgie8XWQZpfe57mPQ/cC\nVHBJpssoTC26RiG6JlwMwzAMwzAMwzAM43ohTmBhf8hRmeIlNS7Jc4mgFtpwRtuSJ/mStidhok9Z\nUPU36G+tUlWVKlyWbtLxWStUikSqWKlK5bNEiVqLvA8ThnJNCKq1oAjSY/EG7dvdCNUyDVWpjLoQ\nZ+xLK37k5QeZRCmeiJyCns/5pT+9l7MbHbU1xamqY/prEjrDLVWzZE0JIRfPMliqQlObipGyZG58\nudY0regpSzj1AVX1XIJXlk1/45qE6JpwMQzDMAzDMAzDMIzribQu6TI/Kroq1FpUjmd5J0mmihDv\nJV1qLVWPuIR7HniQn/uFn+cbXnsXr/yK5/LMO27nTW/6AT51ch0a+3X8dFS0LyUlvNfEoiidheji\nwpShVKJkPIBaA9rHYLghSdII46k3HghVJvDM/THf/bxletRIKYjwrA0TfvFdn2cwHOj+XKTqk6lo\n6ZyVVMkXQyaNU+UNQDnSPY46cPTZcORZEkbTEN3xAE5/WCJoPs/FlzruGoTomnAxDMMwDMMwDMMw\njOuNWhsaK5fKg2IA3XOqAJmG62bNWVvOuAv1Jf7w3e/m27/ze/nDd76L0WhEq+bI/JDf+q3f5vWv\new1ve98nwzjpRJImynTucRgPXQyDdBnNWphqzdBeVJfUWFiB5j5NGir7sHAQqjFs3Q9xDr7itbcv\n8NW31OmS02BIQczn1yv+4/vuw5chRNd7jb+eDJQDs3UyhOhOg4D9LPh2MlA2y2ATbnqF2pvSuRDd\n3hqc+8wjpUs5no2L3sMQXRMuhmEYhmEYhmEYhnG94ZyERG3x0u3DbbXhzFeB5GFU9GTAp+/+FD/4\n9/8xRVnSGUkuxA4Wa7CUQ1GWvOlNf4e7LxQQx6qQSTJIElWaFGMJCy1ClSVxopfZQgjejSUx2sd0\n/PY5VZLUwxSjzsOQ1nFVyRtfsI9blxKG1GgxYEjKe+7Z5p2fPK3qlFpLEqR3QdeIIk0uiuKQU5Mo\nx2XKqCMhNOnB018t0ZPWZ9Etm/fDxslHSpdioPvbwxBdEy6GYRiGYRiGYRiGcT0SJxrnPA2IBcBD\n97yqUerLEi5RIhEC/MZ/+BW6w4LuyBNF0JlIuuSJo11z1GLwVcmv/KffgPbxIGwWJVFcFKYCVRIT\nSQ3KAiqvtTinvJW8rdwUvKpM8LB9WuvMFiVc+puQ1KhHJX/vFQep1yIqIhYY0qXOr3/wNJ85fUHC\nJampsqb7sKpjiqGkUpyp0icKgmfKcFOVLlEEt32VqmGSUPHjPVz4tKpmxr1Hhg/vYYiuCRfDMAzD\nMAzDMAzDuF5J6wqKnWaVgPJcts/oea0d9mtQRSnv+qM/Zil3bI1gOIGygmEp6dLMHEs1CYh3vv0P\nqNpHw3SjOExGilXRMuyptua5AAAgAElEQVRIgIy2VNVSDDWZyEUhcLcp6TIZan3tY6qM2TqtPJe0\nDlunoJhAlHCk4fihl+xnSEJCRc6YjarB//Xue9jY2g55LrH2757V+XurCtVNc60hSnTfEMZFb0mg\ntA7DjS8MeTSh/aks4MzHYDLSGuely7S1aA9CdE24GIZhGIZhGIZhGMb1TH0J6iuXbpv0L7bukKoC\nZuhT+oMhaQSNFLZGXt06Y5hU6rpp1WAxd2x1Bwx6Xdh3m45PwsOlMO6EvJSRfqYN5blEobVoKmhq\nC6oWaazAwj4Yh3ai5kFJju2ToXLG8eVHcv73Zzfpk9FgREzFA4M6v/SezzIZD6AZgnynk4uyJnTO\nSPxkTa0BZu1FVaH2qsEGHHwWHLg95L7Es/Oc+wutu5jMPrdp9c5gc3d+V3OYcDEMwzAMwzAMwzCM\n6xnnVOWSNS7d3l9Xe00QDXljgUkk+bKQOjzQGYfWopGn8pBGjlYGB5fq1OshcHblFv3MWxIWcSqZ\nURbKZIHZuOhpiG6cQL6s/JdiCIvH1B7UX9fEo+ZBTQ7qnNW0Je/5xmcu8ZKjCQMymgzxwAfPwX95\n/z06Z31ZPwcbs2lJ26e1rdZW21BVzoJvy1FoEerAjS+DacXOtKKlewHW7leY8PyEonJ8hRHSO48J\nF8MwDMMwDMMwDMO43okTZa5Mq0wA8GrjKcZQXyaKYr72Na9jWEhILNYcndBa5JzkC0jGvOHrXkXk\nqxB2uwTtI5It9UWghMhJZlQlDNbV1gPKbpmG6EYp1Per3ciXsHhcE4+6ZyVhmgdhsKZqkjgjdvC9\nLz7AsQUoQ55LQcr/d3ePP//sSY2fnk5f6p5XNUo5UaDuNGsmqUn8TJkMJGj8GG59lapt6kuz9zfv\nC2Jq+1LpcjEYePcw4WIYhmEYhmEYhmEYTwWyBrSOXLqtKjRKOUoga/Ld3/1G+mVC6eVMluqOrZGn\n9FBU0Cs8cRLxv33zN0ioRIlahxZPqEIlziBVAC/lSK055URSo9bS9S7muSAB0jygcyQ1VZl4YPOM\nQm3zJVW5lGOIElpZzA+/7ABZ4kmoqDFmRI1//ednOHluVZOZojhMLjqvcw42YNSdTS66XLqMOpIq\nWQNueElod2qFz8fDhbslpYbbUFXsFSZcDMMwDMMwDMMwDOOpwuUVHKD2mO45qDV55nOey7/4l/+C\nXqEskyyCLFZLkQPGVczf/ZEf47abb9Jxw+0wJWis1qIkg6w1m3406kimjLuqWsmakifT1iKHWn0a\n+yRn6ksSMH4Cm6dUGZPVle3iK3COG1bqvPEFK0yIqDMipmR10uBfvvteBv2uRj2DJEn3nPJbumfV\n4hRnkjgukgiaMtySdFm5CQ4/S+uYVstMRvDwJyVxxp1Lx0zvIiZcDMMwDMMwDMMwDOOpgnNqLYpr\nl27vnFOAbb7EG77xm/jdP3gHd73+DeR5TitzxFmdV7/+6/l/fv3X+ZrXfIOqRYogUiZ9tQdFiSpd\nolhZKL7U83GYWjRYgzjWtYuR5AxIuuShqqToQyvkzUx6Cr7NFyVL+hsK0QVedtMiX39bjZKYJgPA\n8+mtlH/33s/jfTELCR73VeESZ7B9StIkzSVdfDmTJ75S2O5gA44/H5ZukARKwuc03oLVzwXp0tsT\n6eL8NGzGMK4RzrnjwEmAkydPcvz48Wu8IsMwDMMwDMMwjOucYQc27psFyILkwr6nS0T018B7qv4a\no0GPWl4nqi+rCoRqNq0HJC8a+8EXEi/r9ylDZdxTBUwcQ5xDrQl5E5qHYbClKpPISaaAztk9r/OX\nJaw/oMqZhQOaYtRdVfVL1oCqYliW/Py7TvKpNU9FRJc6CRP+z69Y4a6/dGsIxO3pOgsrEOWajNQM\nFTCDTRhuzCYYgWTQ0gkggs++QxUy/VWt0Tk4eDs0D3Pq3DonXvbN06NOeO9P7fSvyCpcDMMwDMMw\nDMMwDOOpRt6atd5MKUbQOaXKk1oTnCOqL1HP60SEyo58EXDglPlysc1mtKWx0MVA1SG1ptqB4hQq\ntL0YafLQoKOKlqoM55qqhQgW9isnJcmgdVDbehtqTVpYkfAplOKbxzHf89IjrOQFCQU1xhSk/LsP\nX+BzD59XlUucSOQMtoBSU5OGYXJSvqh7GPdnn0E5gu0zOu7mlyrPpb4yy4VZ/bxk1XyA7i5hwsUw\nDMMwDMMwDMMwnoq0Ds+mB03pb8wCbpOa2oRqcyG4+JBt4vV+mqv6Y9xVRUnWVDbK8o2SFvUloARC\na1E5huG6jqk1Qq7KXJ6LSzS5qJhIdDSWwZXQXVMmS7qg9QHgObBQ43tfeICY8mKeS6fM+cV3PcBW\ntxOkktOahltqSepe0Lmc0zWSGkyGs89g0ldQ78JBtRdljZD7Eqvy5sLdypjZZUy4GIZhGIZhGIZh\nGMZTEedUjRJyUS4yHRWdL6r6JG0oAwUkTdL6bLx01pQwGfclKiYDVbrEGbSO6r18EaoR+AhG06lF\nq2rfiVK9ns9zSWsSHNUY2od1vXKo1p44AWIYdi8u99nHlvirz2wC1cU8lwd7Cf/3ez5PWRYKCgat\nbbStNqbOaVW+RLGqavCz1iZQq1HvglqI9t+uVqS8pc9j3IfVe3f+93EZJlwMwzAMwzAMwzAM46lK\nUoPFo5duqwrYfEhyIV/Utlpbr71XNUvemu1fCyJi1NH4Zec02rl5UOG5aQOSBlQTSZRiKPEy2FCm\nC05tRHGQOM5pMtE0W6V1FKJMoqO/JiFT9CRqQgbN6551hBceckRULDDEE/H+0xN+5389pP1rzVng\n7bivlqDOOZ0/zrTWcjjLtPFe+S2jbTjxAmgeVTVQ2tD6Bpu78uuYx4SLYRiGYRiGYRiGYTyVaex7\n9FHRaa6WmijWuGeQ6ChGs3YkF0nIVGXIc9mWmChG0D6hCpW8pcoSTxAehVp8JgO95yudZ5rncvF6\nic7VOgA4ZbGMtiFZkNzxHnxFEjm+48U3cCyfkDMmY0JBwm9+9Dwfe/AC5MsSOlWpSpxyHEJ9Q/Bv\n2oD6Pt33FF+p2gcPN79E8qjWvDRkdxcx4WIYhmEYhmEYhmEYT3Xax2dtQ1O65yRHam21EKW52oVA\noiRKdYxzkhnpQgjG7Ulc1NTmw+LxuTah0awtpxipTQgkdcpylucCki61ptqM6vtCtU0Y31z01YZU\n9LSvr1iqZ3zXS4/RjIY0GRBR0vc1fuk993JhK+S5uEjXnQxVcdNbneW31JdUrTPuzdZQjmHzQX0G\nJ14QxlcvzD6HXcSEi2EYhmEYhmEYhmE81YkT5bnM4z1sPKSf9WWJlf+fvTuPkiwv6/z/eWLPiMit\n9urq6hVoGJSlbcBGgRZFQREXFBVRUZRBxxWXn4MIOK6MHPWMCyCKDYwbMz9lXFBEkKVt9Yds3YML\nNNDYa3XXllvsEd/fH8/3VtyIyqrKrLwRmVn1fp2TpyNu3uWb2XkzKp58lvLssOdLe9mzXII8kFGa\n8QBMZ1XqrnlPlELZM0Kq+zzTpVj3YE3oS92O1Gn55KFCZThRKAn8mHmfl0LFR0vPH/bAzaDnJT29\nrl970JMUpBD0yANz+obH7VVF7djPRXqgVdSvv/ff1RkEqb7Xz92NvWQGXQ8sJVOHavs9uNTrDL8P\nnYa0fK+0eI104D9535oiARcAAAAAALAR5boHHNL6LWn5Pg+GJL1aynP+uTCIGTCx1OhMQCbn5T7t\n5Rg8CVL9kAcqyrNSoeCZI/1WDJ4s+f6l+vC6ST+XnHnmjOSBl7krYkCk6eVAoR8nDuU8eCLpmY+5\nQk85UlZNLVXV1kB53Xmsqz+4/S4pPzPaz2XQ9wBQ47hvs5xfo9f2ry/ROOkfVzxemo9lUhNGwAUA\nAAAAgEvF3BVnBxOaJz2jpFTzjJVCadjHpB8DE7miZ74kQZdB14Mi7eXh8/kjngVTXvCxymHgmSYa\neMBj0I8ZM4N4rqSfS877uYSBj3Gu7ZOCSZ1lqZNky7Q9G6bfkUl64c3X6OrZvma1pqK6aqukd37i\nuG775H2ebVMoebAnybZpnhr2c8kVpLkjo/1cJA889TrSVTd7idOEEXABAAAAAOBScWZUdOrtfgjS\n8v1eglNZiA1t68PR0N01D6Qo+LZc7OfSWfOARjdmweTyUu2g92spzfu0okHf/9ttSc0T8diZOLWo\nPFxDruDZKYO+B4XKcbpR61TMlml7AMUK0qCnWrGgFz/1Ou0pNLWgVeU00KoqevMH79I9J2I/l1ze\n19fv+nlXj3lmi+Rfz8xez7w5830YSKc+50GnK2+c9P8JAi4AAAAAAFxSijPS7KHRbf2OtHSvP67M\nDzNZJA/IpEuCLOc9TvJln1qUNKHNl6WZec9wqcx6lkm35UGOwUBqLscJRGXv2aLg+0h+vWLFgyQy\nafFqD8KE2M9lMPA15GIfmEFfV+2p6RtuvFJzWtW81iSZjnfK+s2/uUPNkJOqe/xcnbV4TM97tQx6\nfs3qHr9m0lRX8jKopXuk+ljp1QQQcAEAAAAA4FJT2x+nAqW0l2OD27KX/uRLw/4qg56X2+SKMSii\nYa+UbkNqLQ/LkOp7/fjKgmQDP64fR0U3TnrGSbHmpT4qDM9n5k13+10/98JRKeQ9CNJakhQ8wFOq\newlTCLr5+gO6+doFLWpJVbXUU0GfPDXQ7733ToXyfFzjYBgU6jQ90yWEuNbDvo4kCCNJrdPS6sOT\n+K6PIOACAAAAAMClxsz7mKRHRYcgrR0bNsrNFz1wkoujnHtN35YuByrPxbKdttReiSOm895HpVST\nSnNxTHM3Bm1aPvZZ8sBJ6MVzmW/L5T1Lpr3ijXjre72fS3dtOHmo1/Rje56Z8nVPulbXLhS1X6dU\nUE8tlfX+T53S++74jDR32LNo+l3f38yDPs1T8Xq52M+lMQzCSARcAAAAAADARSqUpNnDo/1c+l1p\n5QHveVJZ8IBEeVZnAiKdVakcs1PyxWG/l/bqMCBSmvU+LjMLUmXORz33mrGBrXkwpb3sxxbKfq0z\nY5iDN9Qt1j0rZfF6P1cInuUy6MS+K7EEqdfSTD6nFz3tBu0td3VAp2QaaE0Vv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" ] }, "metadata": { "image/png": { "height": 380, "width": 558 } }, "output_type": "display_data" } ], "source": [ "samples = np.empty((50, len(x_grid)))\n", "with model:\n", " y_grid = a0 + a1 * x_grid + a2 * x_grid**2\n", " for i, sample in enumerate(xo.get_samples_from_trace(trace, size=50)):\n", " samples[i] = xo.eval_in_model(y_grid, sample)\n", "\n", "plt.plot(x, y, \".k\", label=\"data\")\n", "plt.plot(x_grid, pred, label=\"map\")\n", "plt.plot(x_grid, samples[0], color=\"C1\", alpha=0.1, label=\"posterior\")\n", "plt.plot(x_grid, samples[1:].T, color=\"C1\", alpha=0.1)\n", "plt.legend(fontsize=12)\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "plt.xlim(-1.1, 1.1);" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }