{ "metadata": { "name": "", "signature": "sha256:6b4344a63dae53e8af816e4d2f655d2152f9cc143d571807c43a8af51d14dce5" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Learning PyMC with linear regression example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The aim here is to run through some of the core concepts in Bayesian modelling, seeing how we can implement them with PyMC. A simple linear regression model is used. We will look at:\n", "* **Generating data.** By sampling from the model where some parameters are specified (i.e. sampling from a conditional probabilty distribution). This could be useful if you are making predictions of a model, or generating data which can then be used for parameter recovery.\n", "* **Parameter estimation.** Given a small amount of the data we just generated, we will conduct parameter recovery to see how well we can estimate the parameter values.\n", "* **Posterior predictive checks.**, To examine how well a model fits the data. In this case it should fit the data well because it actually generated the data in the first place" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Do some intial set up" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.rc('font', size=20) \n", "\n", "import numpy as np\n", "import pymc\n", "print(pymc.__version__)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2.3.3\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "PART 1: Data generation" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "The generative probabilty model $P(x,y,\\mu,y,m,c,\\tau)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this example we assume values of $x$ are uniformly distributed between 0-10\n", "\n", "$x \\sim Uniform(0,10)$\n", "\n", "The true value of $y$, which we will call $\\mu$ is given by the standard linear regression equation $\\mu=mx+c$\n", "\n", "$\\mu \\leftarrow m.x + c$\n", "\n", "But observations are noisy with precision $\\tau$, which is the inverse variance $\\tau = 1/\\sigma^2$\n", "\n", "$y \\sim Normal(\\mu, \\tau)$\n", "\n", "And we have priors over the parameters: slope, intercept, and tau\n", "\n", "$m \\sim Normal(0,1/100)$\n", "\n", "$c \\sim Normal(0,1/100)$\n", "\n", "$\\tau \\sim Gamma(0.01, 0.01)$" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Define known parameters" ] }, { "cell_type": "code", "collapsed": false, "input": [ "true_m = 1.0\n", "true_c = 0.0\n", "true_tau = 1.0/(1.5*1.5)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Define the model in PyMC for data generation, $P(x,y|m,c,\\tau)$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code creates PyMC objects, which embody our probabilistic model above" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def generate():\n", " # priors\n", " x = pymc.Uniform(\"x\", lower=0, upper=10)\n", " tau = pymc.Gamma(\"tau\", alpha=0.1, beta=0.1, value = true_tau, observed=True)\n", "\n", " m = pymc.Normal(\"m\", mu=0.0, tau=1.0/100, value=true_m, observed=True)\n", " c = pymc.Normal(\"c\", mu=0.0, tau=1.0/100, value=true_c, observed=True)\n", "\n", " @pymc.deterministic(plot=False)\n", " def mu(m=m, x=x, c=c):\n", " return m*x + c\n", " \n", " y = pymc.Normal(\"y\", mu=mu, tau=tau)\n", " \n", " return locals()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# generate MCMC object\n", "m1 = pymc.MCMC(generate())" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Generate data with MCMC sampling" ] }, { "cell_type": "code", "collapsed": false, "input": [ "m1.sample(iter=1000, burn=100)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\r", " [-----------------100%-----------------] 1000 of 1000 complete in 0.1 sec" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "tempy = m1.y.trace()\n", "tempx = m1.x.trace()\n", "plt.plot(tempx,tempy,'o')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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0M+mdUOgTiooqmDBhApMm5TFz5u3s2vUazc1lmJRIKHSMM2fGUV/fBDi1m+68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\n4JqD1xjtGEWTxP/f3tlHR1WeCfw3EEJiSAApOIFgu6TWptK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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "tempx.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "(900,)" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "tempy.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "(900,)" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now we have generated `(x,y)` from the model, basically by sampling many times from the distribution $P(x,y|m,c,\\tau)$" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "PART 2: parameter recovery using generated data. $P(m,c|x,y,tau)$" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Prep the generated data from" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our observed data in in `tempx` and `tempy`, but we generated many samples. We want to see how good our inferences can be with just a handfull of x,y data points" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=10\n", "xdata = tempx[:N]\n", "ydata = tempy[:N]\n", "plt.plot(xdata,ydata,'o')\n", "plt.xlabel('x')\n", "plt.ylabel('y')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "print(xdata.size)\n", "print(ydata.size)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "10\n", "10\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Define the model for sampling from $P(m,c|x,y,tau)$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def sampling():#(true_m, true_c, true_tau)\n", " # priors\n", " x = pymc.Uniform(\"x\", lower=0, upper=10, value=xdata, observed=True)\n", " tau = pymc.Gamma(\"tau\", alpha=0.1, beta=0.1, value = true_tau, observed=True)\n", "\n", " m = pymc.Normal(\"m\", mu=0.0, tau=1.0/100)\n", " c = pymc.Normal(\"c\", mu=0.0, tau=1.0/100)\n", "\n", " @pymc.deterministic(plot=False)\n", " def mu(m=m, x=x, c=c):\n", " return m*x + c\n", " \n", " y = pymc.Normal(\"y\", mu=mu, tau=tau, value=ydata, observed=True)\n", " \n", " # posterior prediction. This will calculate values of x and y \n", " # which are under the influence of the parameters, but are seperated \n", " # from the data\n", " x_pred = pymc.Uniform(\"x_pred\", lower=0, upper=10)\n", " y_pred = pymc.Normal(\"y_pred\", mu=mu, tau=tau) # but the 'mu' IS tied to data \n", " # if you really wanted though you could set up a set of uniformly spaced x vales\n", " # and calc mu for that, and get predited y values. But the way how it is above \n", " # will give a distribution of expected y values for each given provided x value.\n", "\n", " return locals()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# generate MCMC object\n", "m2 = pymc.MCMC(sampling())" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "m2.sample(iter=1000, burn=500)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\r", " [-----------------100%-----------------] 1000 of 1000 complete in 0.4 sec" ] } ], "prompt_number": 19 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Examine the parameter estimates, and compare to the true parameters used" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pymc.Matplot.plot(m2.m)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Plotting m\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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LtLa2MmbMGE4//XRmzZqVsPpw8ODB3H///Vx55ZXMmzePzZs3E4vFOPPMM01o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\nFJia47GrgP2A84AXgRvo6SZ0CE6E1EjfKoWUEVGKpzGKQy8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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "pymc.Matplot.plot(m2.c)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Plotting c\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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O6RDV1loOWiynavNmaWtWVmtRFqv/ONtkd5u8Jo+bKu9tDf9NmmR9lh3lHiuK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\nQEnScFlV7McBHUKxOsAlwC+Ay1LLfBHYCnwteT4LnAjs6FvXhmTqmTb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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot( m2.c.trace() , m2.m.trace() ,'.')\n", "plt.xlabel('c')\n", "plt.ylabel('m')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Tky2FBc3my16WLvAzKFvYIB+0yMISleahGJLS8ARjqToNfhXlQ4HKpwguwxTD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\nf413jUlgKRY3FIfnuCGEECI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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "PART 3: Use the fitted model to make predictions. Model checking." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The posterior predictive check was actually already generated in Part 2 where we did parameter estimation. But here we examine the predictions (in x/y data space)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "tempx = m2.x_pred.trace()\n", "tempy = m2.y_pred.trace()\n", "print(tempx.shape)\n", "print(tempy.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(500,)\n", "(500, 10)\n" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "TODO: deal with y having more points than x (caused by it creating a vector of length requal to number of input x points)." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(m2.x_pred.trace(),\n", " m2.y_pred.trace(),'o')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "[,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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63bp1Ii8vT2RnZ4u8vLywt9i6knUi88ZMkTomVaSMSxGZN2eKpx+P9owz2y57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\nJat9m1Onif8EsC9TC0CU9mxMRJCtLB29km7DNuxyQ2R8Me2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P32W7B6XB/Oo9zjNN0CVV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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "pymc.Matplot.plot(m2.x_pred)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Plotting x_pred\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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DlYXsJJgkMQsApbgtBtABahYKkobPBTDDohz9Rc8B8+bN89q3b+917drVW7hw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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "pymc.Matplot.plot(m2.y_pred)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Plotting y_pred_0\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_1\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_2\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_3\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_4\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_5\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_6\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_7\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_8\n", "Plotting" ] }, { "output_type": "stream", "stream": "stdout", "text": [ " y_pred_9\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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SkhTyVJnFLGY5e5bVRE6233Ia2IV85p/vQPmhoJykX79+yuVyqa+//jpgX1pa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\nsbVri9WhTh1pbKpWtUaZ2RWoSpWgTx/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QMMqUwWAoisQj8+vVR+bqOwzURCxToczI2RSZ\nk28BMgXNAcRaZYJ2GvJFUfHpKarEYP16bL9TvYvxmTIYDIWHQz5TFwLzgDpI99xFwCZgrHf7wQjL\nDwXz/jIUOMZnKrYwPlMGg6E4MRb4GfFrOm5L/wS4OioSGQyGsxonu/mSkNExXwFzHCzXYDAY7HRA\nuuhO+aVvRbr6DAaDY5Tg999X07Rpx4hKeeGFwXTrFmwGp+KBk8rUKcRvoZyDZRoMBoM/cQR/d9UE\n/ipkWQxnOTHo0+MwbThxYi7/+9/pCMqYwsqVK8NSpopK/UaqTN0E3Oz9/S0wjJwnCnVjHDgNBkPk\nEdC/BgYC99nSzgWGA3MjkMtgyDex3shHTkmgfYRlLAr7yKJSv5EqU3OwuvQuQZSpnPywUvF9ad7s\ncrmSIjy/wWAoWqwh8gjogxB3gvVAGeB9oCGwD+gVRnm9gCqID1YJZCTf2AhlNBgMZxFOOqCvBV4m\n78jBmk8Rr/jisKTEgAzmOsy1FIXlUyJnG+KjOQJ4DVgFDAWaEXwqq7zYAdRC3BR0AE+DwWAIGTOa\nL3ZwA9lAZF5+BsPZQSYwHXgSeAiJXH481yNypgNiVT/XGdEMZxMpKSln/HoMzlNU6jeaQTsTo3hu\np0mM4rmfAS73LlURK0aoT1474Brk6/4Q5p7EKonRFsBBEh0o4y5yD5jzXj7LW490HcYh/6cDQfK4\nMT6fhiAUFZ+eokoM1q/H9jvVu5gI6MWAfwI7gZXAdeQvKls7IBmYQuhzmhkM0WYsvs95PDKKOBOJ\nXp5fZerjEPKk4uvzGXNveIPBUCh4giWGokxNRiYD3QNcmkOe14EbkBfZ3YgPQ15sCSFPUSAO8eGI\nFolAGuJAuzfMMlze9ZZc8sQhjdbJMM9R2GyJtgAOsiXaAjjIFgfKqBQkrSEwHhjlQPmGQsTtdrN0\n6VKys7OjLQpxcXF06tSJxYsXh5Q/NTWVK6+8kuTk5AALyk8//cSkSdMjkict7feIjjcUHqEoU1OA\nceT8tdcFaIC8zC4H3gLaOCJd7qQATwEXIKN47EwEegDVCQzsFwwP8DzQGLH0XIflkzEUXwUiG/g3\nsAyZ06sh1pdtTe/xNwIVgT+BfyF1aKcW8AbSxXYEmIGMTgqHNO/alWuuQDzINQNstpUx2VtmsOu8\nBfgMGAz8A5nGoxywDniJ4F/4vYEBwN+Qevwf4uT7tS3PDd5zNPeedykwxFuuwRAKfyD/1elAoyjL\nYsgn3mk6wuKjjz5iyZIlrF69mjVr1nDkyBHuuOMOpk2bViiyKKVITU0NUKbmzZvHxInrkeYgJ5YD\ns5ABpZcF2T8MaJUveYobRSXOVKgkIo1gMMYDPW3bvyFKTK4kJSUpxFRvFrOY5exZVlNwNKPwgnYq\ngzN06tRJxcXFhX18UlKScrlcqkKFCqpx48bK5XKpPn36hFWWy+VSnTt3Djn/sWPH1IYNG9T+/fsD\n9g0fPlzBswpULssUBS4F7+aRL9JF//8K8hy5LckqOTk5rHsSS3jrMShO+EzVxLebaztiecltiHLH\nNWvWoMxEoQbDWYU3ttyLyMi7UMOo+OMfRtmFWKgfAb4LXzpDUeS1116jdu3a1K9fnyVLltC5c+dC\nO3fZsmW56KKLHCjJtIVFHadCI/jbRfN6MgqjG9BgMMQmk5DYTglhHv+p3/IfxCF8DdDXCQELk4yM\nDMqVK0eDBg1yzNO1a1fi4uJYuXJlvsuPi4ujc+fO7Nixgz59+lCtWjXKlStHq1atmDlzZkD+1NRU\n4uLiSElJ4ccff+TGG2+kcuXKxMXFkZaWdibfzJkz6dy5M5UqVaJs2bI0adKEESNGcOpUcM+KWbNm\n0bJlS8qVK0f16tW588472bFjR76vxx+32039+vUBHPtA379/P/fffz/nn38+ZcqU4ZJLLmHq1KkB\n+ex1ZWfTpk3MmTMH8ZQoh7i0NkWieOjBom6gn/d3X6Q51ksahqKFE5apdKC2bbuWN80fN9bQ4nYO\nnNdgMBRNHkNcBxoC88j/dDJOx8f7G2LtOoK0eoUaAT0hIYFevXoxZcoUFixYwNVXX+2zf9u2bXz5\n5Ze0atWKFi1ahHWOjIwM2rdvT0JCAvfccw8ZGRnMnj2bO+64g/T0dAYPHhxwzA8//MBLL71Ehw4d\nuPfee9m3bx+lSpUCoF+/fkydOpXatWvTo0cPKlWqxA8//MBzzz3HwoUL+frrrylRosSZssaMGcOg\nQYNISEjgrrvuolKlSsybN4/27dtTsWLFsK6poNB1Vbp0aW699VZOnjzJ7Nmz6devH3Fxcdx5550+\n+ZWfz9TOnTtp3bo1hw4dQtyJ/w6cADYhLn2PApURBSoBmUTkZqSXWhNbdRJNipPP1PXARsR5eGiQ\n/bcho8hWe/NtDKHMDhifA4PhrAOxWo8g5zk8o8FzSAv3LPKBOSSEYxytlxUrViiXy6VuueWWgH3J\nycnK5XKpSZMmhVW2y+VSLpdL9ezZ0yd98+bNqnLlyqpUqVJq06ZNZ9IXL1585piJEycGlDdlyhTl\ncrlU9+7d1YkTJ3z2eTwe5XK51NixY33OEx8fr6pUqaK2bt16Jj07O1t1795duVyuiHym7GjZI/GZ\ncrlc6r777lPZ2dln0tetW6dKliypmjRpEvR8KSkpZ9Jef/115XK5VJcuXYL4TB1TcNz4TBVRiMBn\nqgTwIRLywIX4OJTEGj03ARk5sxUZrnwcsUyVBLJyKfebPF9VBoOhuBKpIjWGvF0JXN48T4RQXmUk\npMIeZEqsYLgpwKCdLVu2pHXr1syZM4fdu3dTvbqM4Tl9+jTvvPMOFSpUoFevcKYdFEqWLMnIkSN9\n0hITExkwYAApKSlMmzaN559/3md/8+bNue+++/Bn7NixxMfHM3nyZEqX9p1559lnn+WNN95gxowZ\nDBgwAIAZM2aQlZXFo48+Sp06dc7kdblcjBo1ik8++STs6yoIzjnnHEaPHu0zqq9x48a0a9eOb7/9\nlmPHjlGuXLkcj9fHlSwZrHkt67S4hsLHY/udSohBOy9DHDqv924P864n2PLsRMZ3PgzUQ8z2uSlS\nBoPBEAnNvUtJYAOiODVEwmr87M2jlalQ+BB4HPlYzCkCeioFHLSzf//+9O3bl8mTJ/PUU08BMHfu\nXNLT0+nfv3+uDXhe1KlThwsvvDAg3e12k5KSwurVgYMsL7sscKj+sWPHWLNmDVWrVmX06NFBz1Wq\nVCnWr19/Zlv7eXXq1Ckgb926dalduzbbtkUzVJ8vDRs2pHz58gHptWvXRil1xsctJ7p168bTT/8/\ne2ceb1PVPvDvudxrzDwLVzKXWUnhKqRU+iXUS4bbqIRIocHBW2lCeBVeQon0NogyFN3SpFCEDOEi\nc9yQ+d67fn88Z9tnume6+9x9rru+n8/+7H3WXnvtZ6+9z9rPftaznjWCzz77DNiGeMHcANSLlsia\nnMXpLzGYMuVvpN61XnmmAysRh9LLgG6RyafRaDQh8SkyKXFvxL8JxPlkFhKj7PUwy/vetdhK9+7d\nGTJkCNOnT7+oTE2bNg2Ahx9+OFtlG5aurNLFv8eTChUq+KSlpUl1HzlyhNGjR2d5PnerjlF2VjJU\nqFAhppSpEiX8xYQ1LU0ZGRke6Uopvvrqq4uWvapVq/LTTz/RtWtXNm7cDjziylkFCdH3eHQEv0TJ\nLT5TwRw5Q/myG4H4S1VCPOj+g54wVKPRRI8nkXYnzS0tDbEqDbFFIgsoWLAgffr0ITU1lWXLll10\nPG/RogVXX53V5BOhceiQ/0g1Bw8eBPDrBO4veKWRr0mTJmRmZma5uCscxjHBZMitOBwOn3AMderU\noVu3bsjjuAbpPc5Exl7MzHEZczP+osvHIsGUKe+RelUQ65Q7LREzOYjz+S6gtp+ykhDzmLFoNJq8\nidNtSYrg+MuQSb29KQsUi1CmmKBfv344HA6mTp3KjBkzyMzMzLZVCmDPnj3s3r3bJz0lJQUQ/6hQ\nKFq0KPXr12fjxo0XrVTBaNq0qce53Nm5c2dMWaWsJw5ogoxpMMJQLHTbb4x49LR2aXIfwZSpNUhw\njB3IdA2PIyZ2d7YADyDz8f2OdA7v9FNWClqZ0mg0nu1ASgTHf4x83ndBBrxcjkx1NBOJOZVrqVGj\nBu3bt2fx4sVMnTqVkiVLcs8992S73PT0dJ5++mmPOEy7du1i4sSJxMfH07Nnz5DLGjx4MOfPnyc5\nOdlv92BaWhq//GJOz9qjRw/i4+OZNGmSh0KXmZnJ0KFDL7ngzevWrfNbL2BY4Nz9rUq71r6KriZ3\nEcxnyv0pd7f5Gp9KU5E55tYjvlXpiMLlz4FTo9ForKAfMvpuLpDgSrsAzACG2iWUVfTr14/ly5dz\n6NAhBgwY4DNiLhIaNGjA6tWradq0Ke3bt+fvv/9mwYIFnDhxgldeeYXq1auHXFbfvn1Zu3YtU6ZM\noUaNGtx8881UqVKFY8eOsWvXLlatWkVycjJTpkwBoFq1aowdO5YhQ4bQuHFjunfvTrFixVi2bBkn\nTpygQYMGbNiwIeJr++STT/jkk08As8vw+++/p0+fPgCULVuWV1+N3vzX3j5Tc+bMYdq0aVSqVAmJ\nF5WO2CMWAQWBQW5Ht0SUqwnAUcyZ2AaQy42slpFbfKaCcR0yOs9gGOaIPoNHgaw9EbPG1ngRGo0m\n58HaeTOKAg1di+/wq/AYhsSbciKOLcGIWh1lZGSoMmXKqLi4OLV58+Zsl2fMN3fgwAHVs2dPVa5c\nOVWoUCHVtGlTNW/ePJ/8/mIn+WPx4sXqtttuU+XKlVMJCQmqYsWK6tprr1XPPfec2rp1q0/+efPm\nqSZNmqiCBQuqcuXKqfvuu08dOHBAJSUlZSvOlBHbKi4uzmMxYkZVr1495LICzc3Xp08fFRcX5xEr\ny19drV69WvXr109VqFBBQSHXUlNBsoJNfmIwLVVwnYKirphTcQp26zhTMQgB2q9g02PfDdwMGMFG\neiKj+dyHI4wH4pEowpchkYNDma7bJZtGo8kruJyag7U7oXIlUAOJW2fEwoukUWmNtF1XA68hsale\nCXJM1NqvHTt2ULNmTVq1asXXX3+d7fLi4uJISkpi5cqVFkinCZUxY8bw/PPniXwKSisx/nJ2vXOd\njBwJTqfTpvNbQ6D2K5xuvqyIRzzsbkLslT8APyI+VhqNRmM1pYEFQFukjaqJ+GnOQEb1hTuirykS\ndPgJRJnyRxJRDNrpzmuviQj9+/fPidNpNJrwcLptpxBi0M5QRvPtRSKin3Et3yBmd29lKokcaow0\nGk1M43TbTiF8J/TxiCNKVWTQi8H7rn3hKlPjgWrIkCpbgnbu3buXuXPnsn37dmbNmkWjRo3o2rWr\nlafQRIlLxacnVonB+nX6SwymTLmP5ssEiiAWKHcWIk7o1yLR0vcB/kLjphDlCMIajSZX4Mzm8R2Q\nWRm8P+z+QJSiSNhNZL6flrBjxw5GjBhBkSJF6NChA2+++abffMePH2f8+PEhldm3b1+/Uc9jmdTU\nVGbNmhVS3ieeeCImJkmOoZf8JUluqV8rRvNtAZYBKxC/hS+BzVYJqNFoNF4UQdoab0oiE7LnOpKS\nksjMzAyaLy0tjdGjR+NwOAKGFHA4HNx4441Uq1YtpHJjhdTU1ICR1Q0cDgfJyckxoUxpQuO7777j\nlVeCuSJmTb58+XjwwQcpViw2RzmGMjffBjzn5uuM72SgF5CoZM2Bz60UUKPRaLz4FugFPOuWlg9p\ng76yRaIcIjExMVcpR+ESqlKpyW3cTkrKaVJS/oq4hPz559GsWTO/czzGAlbMzVcZUbBuRJQpPURP\no9FEk6HIfKDNkDhTLwNXAaWA622US5MHiUGfnhikKenpTSM60umU+h0//gorBbIcK0bzTUAsVgrp\nCrRq2LNGo9H4YyNQC+gPnES6/T5E5gU9YKNcmjyIVqKii9Mp9Vu8eGyH9rBiNF9TYL5ruwxwC9Lt\n5z3tTBJ6NJ9Go8neaL4EYAnwCPBvi+TpjEzSnol0F6Yh8fI0Go0mJEIZzVcT6A0MB6oDk7zyXAH0\nQPwViiPDilP9lJWCHs2n0WiyN5rvPDLC2EoWIgNoHkVGIg+2uHxNLuPkyZNMmzaNjIzIJyBetWoV\nvl4xmkuVYMpUOjJJ0MfAfmTocFdEETqIjOYDCZjXGuny2wtMA1pEQV6NRqOZC9yP79RWkZIPeBqx\nqGflppCEtqznGdavX88zz4wjI6NH0LzPPlsEgH//+5TXnkbAHdYLl8cwfaZsFsTE6bad4lpC8m+6\nDlGe3Ef0ge+IPoOSwG/ITO6B0NPJaDR5DIumk5mEWMu3AWsB4y1mTCcTrmXpBUSh2glURKzr3hZ4\nb3T7dQnz7bffctttwzh+/Fu7RbEIu6eTyT7Fi7dh4cLRto7my850MhDaiD537keHR9BoNNZzBeJC\ncDWwDnkz1HLbH+ncfM9kWzKNRpOnCUWZCqdxagsko4cnazQa6/kDqIDZ3bYAcUM4aJdAGo1GA6Ep\nU6GM6ANxCp2OdAem+dmfhPY50Gg02Z+bz+AWZHJ1jcY2DJ8eYwi/xlpi0GfKL6H4LtwKfIIoVdOB\nbsC9eE4wOhPoicxv1Q34JYRytc+BRpPHyKbPVCZimTrs+n0SmVR9Z/YlCxvdfsUwL774MgcPHon4\n+P37/+SLL/7kxAntMxUrFCvWhnbtKlC5cpXgmbOgfPkyPPNM5ONWArVfwRq1fMBWYAwwAkhEAuMN\nxpyfby8yqq8w8BfieL4JmYomEEophdPpxOl0BrsGjUZzCaCVKU1OkC9fPJmZ/0ZeYZFyNXCzRRLZ\nTe5XpmA5MrtdpGTicAzL1nRF2VGmQhnJ9xYyH9b7rt9bgDbAoSBlK6VU0Ak77STWFb1oymeUHet1\noMldWKBMLUEmM3YAtyHTyrhPeqyAu7IhYmuk3TsMvB0gn1amosSOHTvYuTN7+vHNN3dEqbNAvDVC\n5XouBWUqu2TicOS3TZm6G1HNH3T97omM5HvcLc8i4CXge9fvL5GYLWuDlB2SMpUTL/OszhFLip67\njMZ2NOUzyo6lOgD/9yovK3zhXHss1FM2lalZmNNWZYUC+kZYPkjw4Vfc1lmeJ5b+F5cS11/fke+/\nX2ZBSbOBOAvKCYzTucO1rhH1c0XOfa71O7ZKEQnW1W8mDkefqClTweiC+EkZ9MQ3/soiPEfvfQk0\nCaFs5WqNlMHIkSN9trPaHwrB8gc7h5Hur5xQ04LJZWxndaw/Gf3VXXZk8Eegc0Ryvkjk8Vc3/u5V\ndp4Rq4jkvIGOCbW8cK7d3/Mc7vOS3esk9j+Nh7rWT3mlJyGO88byK3ItetGLXvLO8iue7UASLoJp\nWC1cBxjdfMMRU/vLbnneQkbjGPPzZdXNl4TnaL6RIptGo8k7OABGuSWkEPlovmjQCunmO4SYNiLB\nSfamzLkUcaLrxB9OdL144+QSrJP8wA7E8TwB0crqeuW5FTNIZwvgxxDLDvsLN9BXr3t5oVo5ook/\nucI91mpZssKQMdR8wfIGs9pZYZGJhFAtlXbiTwaj3t3rP9hzFQsWuqyuJRvtUW7BabcAMYjTbgFi\nFKfdAsQgTrsFiBa3ICP6/kAsUyAj+R52yzPZtX89oXXxgUXKVKCGOxaw+jqjgVVdg5roEKirN7eB\nVqbyKk67BYhRnHYLEIM47RYgt6F9DvSil7y3/MqlT5LdAsQgSXYLEKMk2S1ADJJktwC5DafdAliI\n024BLMJptwAW4rRbAAtx2i2AhTjtFkCj0WisJvrjRjWhkoQ497e2WQ6NRqPRaDRhYKcylWjjua0m\n0cZzPwN8iow+ykSCrEZKohUCxQiJdgtgIYl2C2AhiXYLoNFoNFajLVO5nzFAU2Cd67eyURaNJq/T\nEJgCdLZbkBiiNRLIOTvBVC9FBgFPIO13XicJmAfURFwBBtopTCTYqUyl2nhuK4lD5ie0i0SgMhJQ\nNbukWlBGJOQn63kfikRYZmqEx8UiqXYLYCGpdgsQZc4DJ5C5SjVCCyQ2YVm7BYkxjiLtXn67BYkB\nUpDBKZ2AfwMFbJUmAnKzZWoU0nCV8bNvGpCGxMYKBSfSRVYbWAAcRyZtnoDvTc1EosD3QCZ0Pgtc\n6dpXGZiJdLmdBTbi/2vscuAT4JQr7zg/5wmVPa51JCHuqyFf0VuR+c2eQq6/mp+8JYDxyMvwLKJA\nzgZKu+UpB8xArukM8ufo5VVOIlKHQ5Avsx2u8uph3oe6wHvAMWBVBNel0eQknZF5/N4GWiJzmF5h\nq0SxhbaW++cdZMqidnYLEiM4vNaaUGjYsKHdQ7T1ohe95PxyqYdGuAr5mHvObkFiiFbITBm97RYk\nxrgV+fi+125BYoAGiO/vAOSj5PHA2TUgU9NsAc+ggwsWKJWZ6T/Q31VXKUWIMQpPncq6HHcOH1bq\nxInQyrSa1FSlGjSQ7WPHlCpaVKmXXlJq8eKcOX9ycuj1qQmfOnXsrV8I7dl2/5+A+T/76CPfvBkZ\nSuXLp9TzzyuVlha43AMHpJw1a5S6+27ZNs6FKFQGw4HtrvagQw63Q20QH40kYATSeJcCXiT7puMD\nfQAAIABJREFUipAzm8dfijjtFiBGcdotQAzitFuASMjpbr58SLT0ju6JZ89Ct24wYwa89ZbvQUeP\nBi70p5/g9ddlu0gRmDcvuCDlykHPELyM3n0XHA44eTJ43lD55Rf4/XfIzIQNG+Cff2D4cHjwwcjL\n/OsvqQd3/vxTzuHNvn2yvukm+O67yM8ZDhkZsDdKnmX/+5//6/RGKUhPt/bcp0/7pl24YO05wuHs\nWVkfPhw8b1wcLFsG338vv7dskbW/a/rlF7mHo0fDnDlm+qxZsHy5Z960NFnv3g2XXy7bf/3lU2Q9\noLtr3RHpbs7J9uhrxEqWAoxFuquTgP8C+4GSOSiLRqPJ5VjReCURuhf+Nci0M6lGwmefSYMMokz0\n6+d7UDBlqmNHePJJ2L9ffgd7YRoKxLFjgfMBvPKKrA8cCJ43VDZtkhfu1q2QlGSmnzvnme/sWThz\nJrQyn34arr3WM61KFZg+3Tfv8eOyXrkSFi0KWexsMWECVK0aOM+pU+b2kSOixLrTrx8MHuyZphR0\n7Qo7dphphw7Jy99g3Dh5wc+cCfFZublHQEaGKO9798KePWa69/P33ntw223WnTcrNm+Gb76R7Z07\n5ZpHjIDmzX3zGspNx45w/fWynZ4OBQp43geDDRvM7W3bzO2+feGRRzzzuitTf/8t2716+TzLnZF2\n4wLSHvyBtA928DTg55+i0Wg0oWGFMpVC6F74lXEb+TZ9urxk/ClQBsePw/nzULSo//1KSeNdrpxp\nkfrnH3kZ+1OqPv8cbrhBtkuVMtMvXPDNf+aMvDiaN/dV6PbskXNHwqZNsv70U1mXcbnQG1YFpWDV\nKrj9dmjZMuty3M+fL5//PIaCCfDRR/LiN152AKtXhye7N/v2wfr1sr19Oyxc6D/fzp2By9mwQe6x\ncW9SU2XtbuV56y2YMsXzOEMxNBTjO++EW2+FJm4zRA4ZAkuWmArXpEmBZfn7b3nmgmGc+733oFo1\nef7crV/Ll4vC9cEH8tFgXGdGRvCyA/HNN7Bxo2faqVNQvz7cfLP87tABKlSAL76ANWtEcf/8c5Ft\n7lwYP95/2Y0a+VqmDh6UMgxlfft2z/27dsG6dWIdHDDAfL4OHjS3ly71VMiASsCfbr//RNqHnKIB\ncD3io1EduA5py+4HKiADWNxJwpzN3hnE53NkgH15ddF1ouvlUqiTX3FrB4jC1DfDkJFZ8ciIMH8k\nAe8Da11CKFCqeHHxqXBf2rQxfT6mT1eqQwelihSR3x98oFTjxqZ/xs6dckyVKnJco0ZK/fvfkjZg\ngJlv/35ZN2tmnufeeyVt0yalWrZU6qabPH0/Nm5UqnZtpW69ValFizz3gVIrV0oZe/cG9iHxpkED\npcqWVapVK6UGDlTqvfdMmdLTxdcE5JrB1wds9WrxYQGlduyQtCeekN8HD0r+zEz5PWyYp8wNGypV\nrpxsN2umVOnSSg0ZolS9epLnyBGlTp4M/Vquvdb0D+rY0dNXaP9+pT77TLZ79TKv5dQp33K++86s\ng8xMpT7+WLb//FOeAfc6qldPrl8ppbZtM/18jhzxfI7275f6BKXmz1dqzBhz3+23K/Xzz/Is/fab\nUlWretbTwIHm79RUpY4eNX9nZCj1yitK/fGH5DX8gkDSypc3f69YoVT79ma9gFL/+1/gOl26VKl9\n+zzTMjPlvhtlJCbK9ubNSn3xhVIVK/r+j0CeMfff//ufb566dc3thx+W/487xr5nnzXPvWOHZ30n\nJ5u/77hD1o8+6nn+OXMu+kw5gdXAh26N0X+Bu6xumKJI4Juo0VzC4FIu8hqu6/aLFZapBshw4EzE\nkTOrjqkUZGj9EdwczEr68Uz4+mvTD2PRIukiOHfO7Br75RezS2zUKOjSBU6cEKtLs2byNQ6weLGs\nv/8eKlUSP5K1ayWtQgU5Ji0NGjaUPCtWeMqxYwfUqAGlS4uV6MQJST9yRNarV4s1wt1n5J13TOuA\nP9LT5cu+XTuxPjVrJuUbDB1qWndOnYJChcTqsmuXdIM+/rhYCN5/X/J88w1MnmxaGipUkDozulcM\nWQ3Wr5d6iI+Hzp3Fb+z116WL6MQJeOopmDZNLG/p6bLvn3/M4++919MyceiQuZ3fFS1FKbFSDB8O\nnTrJfTO63R57TLrG3LvFwLTKgfjy7N4t2wcOyHX/61/m/s2bITlZztG+vZnvxx89y6xUyZTv2DFP\na9OPP8p9++UXsZgYlkZDLqNb95tvIDFR6srg4EGpJ8Mi524l2rDB05p2003m82hYEr27c73p2BHu\nukuONdiyRe67YYEzrF+jR0OPHv678sCzXkG6W3v1ki7Xdq4B2ZUqybpUKfFx8uczBfDQQ3DddWLt\nrFFDrMEGM2fCCy/ItmFxPXXK0wr6228XN53Ax8DPSLsAEi5kn/8z+6DDDmg0mjxNfiSuUCIuy1ST\nJv6/qB97TDTBkiXF2lKmjFKHDik1dqzsX7tW9leuLF/JcXFKFSig1LhxnuUopdRrr5mWKiN98mRZ\n9+vnmT81VY7ZsUOpTp2UGjxYqfvuk30//mhop+ZSsKBS998v6efOKVWsmKRPmiRWFaXEAjRrlmzP\nnq1U/frm+TduNC1RbdqIdezBBz2tBr/9Zo4QC2V55RWlfv9dtq++WqmzZ0W2+HjTCpGRIdaOTz+V\n3wUKyLp5c6W6dnW3JJiWigsX5HfRokq99ZakGVauefOUuvNO2X79dRn51aWLaTUyZIuPl+sEpRYu\nNDV+9zwg1kgQi2D16p778uWTtVFvoNQzzyg1frzUrXveL7/0tEZ5P2Og1Icfyvrzzz0tLe73unhx\nsXoqpdT330vaQw8p5XDIdp06SnXvLpZA4xnwXg4eNLcXLhSrmf+vH8/nVymlli2T3+++K+vy5eX+\nVaok1jCllFq1yvecNWr4po0bJ/lHj5bf3brJ+rrrZN/AgUrNmKHUV1/JcwNKvf++KUutWmZZ770n\nVkWjLt3vc5cu8v8sWlTStmzx+LKrh5jME5Buth2EHl8mE/gKuA8oaGH7FA4Bvl81msA4nU7ldDrt\nFiNiyMWWqezUPQEsUzkdeTUd6A8sA7j6avkafvhhmDrVM+PevWIpOXdOvoDLlYOJE03n2Pnz5ev4\nyBHxV8nMFF+Uyl5eF+fOiQWpQgXxubnmGhn1Vr267H/zTc/8iYliiZk9W/ykRo6EO+6QfX/84evk\nvWWLWAW2bxc/n6uuEsfpxx+HYsXECrBmDbzxhnzZnz8vslesKMfXrm36E33wAdSsCQXdXg8VK4rf\nlruzfN26YnHJyoF+7Vq5zpYt5XwrV8oxFSpI2u+/i/UHxAqyaJHIm5oqVh/Dt+iBB6B7d3P034kT\nULy45B84UEZ1GaPG7nWLlDJkiKyNe7V9u5Q/aZLUb+3aYn1ctEjuSevWZn0YLF8OTZuKBW7XLs99\nP/8MzzwjPmAGu3dLvXfrJs+K4YfnbiVctEgc2MeNk98pKbI2rFHufl1Fi4qfj8Hx4/Drr2K1MfzY\nli+HWrXEWtqkiTwr119vWuhatxbr0siR8tvNMkPnzmJ9OnLEdBoPhCHjY4/J+tAh2b7sMrjCZacx\nfADvvBM++UTq2t0x33j269WT38OGifO44UM2f774lp0+DfffL2lbtsj/rFs3s5yaNeWZfP118743\naQL/+Y9s9+wplsSxY+UZLVlS/lO1a3tc0mYkQOxmpF14lAANlRdNkGC4ryOjg+cj8Xqy6QGo0eQM\nI41GIZczL5Sh81nQrl07ypbN+aD40ap7O8LYL3EtqnJleRm89ZY4DXfuLC/i/fvlBbVnj3RHOBzy\nYnjhBVGcAF59Vbo6Lr/cdL4uVsxzxFD58vIy2bZNGvjXXoN77pEXilGOP/bska6c3r2lzD595OXv\n7Xi7cqWUk5QkL/jMTJEzIUFGDBpDzcFzdFnp0vLSXbZMXryVKonzcNmy8lIynJVBlIwuXTzPW6WK\nvPiaNpU6mD5dusLuv1+6fAYPFvkrVxblZ88e6VqrWhVuuUVCUBjEx8sggLZt5aV8+LCpBJ0/L+c2\nuhQNZeq660TxSkuTF+TWrXJvnnnGU06je/CPP0yH8Nq15TpBlN8lS2QBqcfjx0V5rV9flJcXXzTl\nNLrP6tcXJeXtt+V3795yjy+7TPY9/LCpTHk7e7drZypTxkCAJ56Q9e+/m/m2bpV66tYNFiww07/6\nytxOTZW627pV7lOtWnIv0tKkG7JbN3mujf+u0SVp4K4MnjsnI+m8Q3DUrSty7dkjdWA4vYN8CEya\nZI56NLqLr7tOuleXLhUZ580TpadnT/mAMT4I4uPlXjz3nMhbtao8Jx98IMp2ZqZcW61anjLVqiXP\nqHvXp/EBUL++dHWvWiVK4k03yf/B3whBJKbTi373BOZXZNTwk8DtiGK1CtiGBPybg7gTaDSaAJw5\nc4YD2Riq3rfvayQk1Aqe0Yvz59fw2mtH6d+/f8TnjjVsnROoVCl5AYL5dT1okChHjRvLC8RQehJc\nE8Ps3i1K0qFD4uNkWJhAXgzuo98aNZKv/z//lAZ+yRJo0UL21a0rMaTcY00ZL6533hEF4pZbJL1P\nH3m5LF1q+t1cf70oICDWqI0bRa7SpaGwa1aupUvl3PHxoiCOGSPWteLF5Ro7uMIUFi1q+t3cfLPn\nC9vbYgOiQDZoIFalxYvNcpKSxP9r505RpsqXlzpxV6YM/zJvihQRJS0+3rREgVh5DL+j48dFucyf\nX+Q8elSsPQUKiPzeypTx4t++3bRsXHONOTIzM1PqyvDRadECXnrJPP7gQXPbUKROnJBnoVYtUYZ6\n9pRjKlWCH34QxcE7pMJrr4mCVru2+ZwVLOjrT2RYVkDuQefOcN99nspU797ynEyYIHVgxFHq1EnW\nd94p6+Rk2W8oONOny7P6xx++oQTOnJHn9I47TMXSYMsWUc527ZJ7u2aNpBvKpbvFyPA/vPFG8cUz\nfLqM/1CpUvDf/+JDfLx8BIDcD8PfDuQjoWZNz/zG7zJeEzndeKNZjnGP27SRD6Qoxd66AHwEfI5Y\ntl4CXkUUtAXIYBgLg5poNJcWgwcP5+233yU+vlhEx587N5pz5zqFfVyBAo+jVKiG6NyBrXPzlSpl\ndk0YStFll8kL/NgxcQqvUUPS3V98RkO9YYN8hRs0bCgNvRHAc84c+bIuUkS+yDdulBc/iHLUo4en\nPCkpYrl66SVRBMqXN/fVqiVKgXH8t9+a+66+Wo4ZNEhenobi98svopiVKWMuIApJVtSp4/n7jjtM\nBdDoejHqxLC6FC8u6yJFpD5PnBBZypcXBWrjRnkJG3GeDAXWm8sv9+wWK1FC7sXhw/Dhh9IVa5zr\nscdEKTDqw12pNTC6tbZskfuyc6c4pRtWjN27ze5G8FVuKlSQ9fDhcm+++86U3bCW1Klj5gOzjrt2\nNdMqVpTzZ2aaXU3GdRjO4E8/beYvWlSU5saNzfL+/lvu7dGjYhXs0EG6+R57TJQt93hhIJ5DV15p\nylujhlhpHn7Y7KozaNFCFO/HH5c68o79VaqUKP4NG5pp58+LsunuBJ6QIM9+48by2xh8YDxTJUoQ\nFHdLXu3a4jzvzzIVH+/7HK9YYVo9i7imp65YURQ0o74tpjnwJqIwDUYUqSuRuc4qIdNTaDQxx6hR\noxg1apTdYnD69DnOnRvDP//sDGsxCV+Rspto1b2tlqnbbzdfxkb3QrFiYlno2VO6jtatk/2vvy4v\nw+XLzWNAvnxBlI5Bg2Tb8FkpW1ZeMO5f1o0be1p++vSRPNOmycvmmmuki2LfPs+XdM2aplXAm6uu\nMrdLl5aXV5EiYnG54QbTGmK8zAIpU8bLvmZNuc5WrURxy59fLFszZpgvNyPqt/HCdq8XEPlr1jRH\nV02cmPV5QeqyRg05x88/y0vQsAL+61/yAjesdUY8KAPj5fnzz54jy+Lj5aVfpYqpOBlyp6SIgmBY\nULyjZBtWuf79zRFnBoby1qWLPC+//CL31rAELVgg92XTJrHiefPAA/L8GYqvUXcDBohC2amTHG8o\nAcWLmxYbozyj2879/ntjWMncLTPeXY9G/KXeveV5bNXKf1mNGsnaiMHlruwbuAc1HTxYrsN47rKK\n1eaOe+y1evXg449943LVr2/6BmaFcS5/llULGIJ07dUGPkMc0ZcARs3uROaBS43K2TWabHKp+Ezl\nRnJT3Q8CngCaBskX1HPee36x48dllNVPP8loo7Nn/R/31lvmSKjERKX69Al8ngsXPOMKnT8vx58+\n7e3J7zvKSikZlRUXZ46AM0hMVOrNN83fs2dLHn9xlgzOnZNRYydPesZ7OnvWjB1lxBtq186UBWRk\nnlJmDKrZs+WYM2d8ZQuVjAwZmWWMoLvnnqzz7t5typKcbI6CLFzYM9/GjRLvCpTq0UNiJVWoICMg\n3dm+XUbLnT8f+Hzu12zE3QrE3XcrtWGD+RuUGjRI1n37KvXNN7L9+++yf+tWM1/BgsHL9+bNNz2f\npSlTzOfossv8P1P+RgN+/bWsw4kD5l7et9+GltcY5bdqlYwGDWWuS2+OHzdHXHrKEbKTeSD+QOb1\nqxQgTwLQx4JzZUX4laLRxBi9ej2iYIrf9ibwYgSxDPc4WQoU6K8mTpxo9+WHDTk8mu8oUNGKsr27\no4oVM7sRsoqrAzKCzrBcVK4s3S2ByJ9ffGAM4uNdj4sXQ4eK47s3+fKJY/Py5Z4xem65RXxXDAxf\nqkKFspYlIcHTWd3AsJw8/LB0K4LvfHRG7KG4OLGwNWok1oOCBaXrz7AehUNcnFj4jEjqgaxqRjfi\npk3iV+RwSDen1yiui87lDodYzurW9T9dT5Uq0vWV1RQw7tPTxMWJP5JhBQzEBx94/n72Wbj7brGS\ntWxpWqCMsgxLYNmyvl1eoeDtI/XIIzJgID5ezl29um8k+jfflOf2wAF5nsGzOzdcatTw9X3KCmO0\n3w03+EQtDxlDRnfrroUE+UcDcB6YFWB/EvAw8DzQA4l4/g7i1H4GGJMtCTUaTZ4iGsrUO671M3gO\nVU4iCqHX/VGokOmUfc01sljBK6/IKKbNm333LVsmo8KMbjDwnfrE6BYJ1D0SDPeJoJs3N7tBR4zw\n9Nvxfjln5ScVCuXKmcqUvyCr3hgvYxDl98Yb/ec7ciSwH0+BAhJSIlQMX7JwGeN6bRo+SUaIBKML\n0GDLFt+0SHA4zK7oAgXEv8vdxwtMBWzrVlHqVq2Se9ipU2TPzx9/hJ63S5esA3eGSr58ct/9dUXi\nOSt8CmbgzlBJBk4CXmoxXYHCwOwQykgBrsWcBmsw5kTHbZGJjr2nlNFoLMHw2clNXU6XCtGq+2go\nU7cCzQCvQAI+jWaOPEXGMHirKBggRGBW850ZxFns7v/SS2bUaWMdDQwrw+rVoVs3DJKTs97nPRos\nVrjiCv+WSXd/Iqvwti56U7u2KMyGVcqI6h9tAllPQ8V7RgE3nNksejjwgJ/0I8BUQlOmwAwS6vCT\n5k0SOfQxqLn00UqUfVhQ90637RTXEhVl6nPXckkSSJkKRqdO1r4MHY6sJzi2EqMLzioLn8YkFEtX\nlEbC5WaqALv9pO8GAkSQ88CYButLZBqsY0ijOAQ4ja9VKgUbPgY1Gk3M4fSXaOtovtzIlCnS9RIJ\nCQlmPKLcRHa7fDT+WbMm8EhATZYcBhriO1qvAeKzGQobgDv8pD/jJ02j0WgCopWpMGnY0DPeT14g\nlOlONOHTNNh4V01WzAMmIn5TX7vSklxp822SSaMJGe0zZR+5yWdKc4kRrp+URhNlnkcmS/8SM7ZU\nHOIrNcImmTSakNFKlH1cSnPzaTQaTXY4B3QHngMaIaEMfkMH6dRoNDahlSmNRpNb2eZaNBqNxlas\nVqZaA9chDqJvW1y2RqPRgLRbfYCbgHJ4zjGqgCwim2k0sYGVfjvHjx8n1ZhjKkyOHfsreKZLjNzi\nM9UCeBmZrV2j0WiiwQREmfoM2IjnFA+X1lT0mksSK1/kQ4Y8w9y5n5CQUDrsYyWe3sOWyZIbyC0+\nU4EasiR00DuNRpP9COj3ID5Tn1kjjkaTezl37gJnzz7H2bN5SymKNaxWpn5ErFKH/OxLQQe902g0\n2Y+Afh7fGRayw71AaWQKmXxIwM4wJjLSaDThcvjwYbZti8zlsXr16sRnNWmrTVitTK1yLRqNRhMt\nxgEDgf5Y0623HwkCegD4DzJPn0YTNfJ6nKkLF+rwxhtv8MYb74d97Llzh5kw4SX69esX0blzi8+U\nRqPRRJvrkcmIbwE2Aelu+xRwV5jltQKGAc8GyJOEdlPQWEReVaIMMjMf4+TJxyI6NiFhIOfPn4/4\n3Llpbj6NRqOJJseBT7LYF4ml6ndkTr44ZDqZY37ypKDdFDQajZ6bT6PRXCL0sbi8Dy0uT6PR5DHi\ngmfRaDSamCMeaIeM6y7mSqsMFLVNIo0mREaNGnXRd0eTs0Sr7q20TDVEGrZlwEILy9VoNBp3qgFL\ngapAAeAL4AQykrgA8Ih9omk0wcnrPlN2Eq26t9IydR5p0ApbWKZGo9F48wawFgllcMYt/WPEWqXR\naDQ5SnYtU52BO13b3yIjYp7JZpkajUYTiFZAS+QDzp3dSFefRqPR5CjZVaYWYnbpXYUoU1lZu5LQ\nQ4s1Gk32I6DH4b/tqgycjEgijSYHyetxpuwkN8SZ2uhasiIFz0bzTofD0dDC82s0mthnPdmPgP4F\nMAh40C3tMmA08Hk2y9Zooo5WouwjN/hMhcsngOMSWUZZUEZbJEZOm1x+HbGy6GuJzSWr+FDhMAQJ\n3Pk7UBB4D0hFLFNPW1C+RqPRhIWOM5W7qQMkAx2AK4B/gHVIQMG1IRzfEmgPTEACIWo0uYG9yOjh\n7q51UeC/wFw8HdJDpT5wB/L/KY2em0+j0YSJnZapRBvPbTWJNp33AdfyEzKf2DigNjLh9E0hHN8S\nUbyKu34nWi+ibSTaLYCFJNotgIUkWlTOBeBdYCjQD1GmIlGkQKaf+Qf5H/wbCa+g0UQNHWfKPnJD\nnKm8Shz2KaXvAc8Dp93SZiLdH05gRYjlOELIE4cESjwXhnwaTTToTeBpY+aEWV4p4FXgMDA2izxJ\n6AE0GovQPlP2Ea25+UJRAmYCh4DfAuSZCGxHnEsbhyhQaoj5smIUMjS6jJ990xBTfUKIZTmBTMSq\nswDp8voL6f7y/krNBCYBPZBJVs8iSgaIz4ZRX2cRh/y+fs53OeI7csqVd5yf84TCOjwVKZB5xb4F\n6gY51gm84trehVxXbyQQIvi/zptd+54Evkfq6DSwBuiSxXl6IpazUy7Zvka6Ft25BViFWAdOAIuB\nekHkD0ZqNo+PJVLtFsBCUi0o4w2vZQowC5hOZN1zHwBPAGOQ0C7+LFwpyH/GWDQaTd7E6bakGImh\nKFNvAx0D7L8VuBKoCTwEvBmZfGEzB7GsdfdKTwDuBv6HbxyaYCxwHT8MGRU0AFHMvLkRUYDmufL8\nDZRHutduRJTLAcAfwAxgoNuxhRCLUXtXvheQuDmvYB0VgCNB8nyIyA8yMqon8BGiIBl4X2eqK30A\n4pP1HDAcSEdeSLd6nWMkcp/OufI+j/i7tHXLcx+iPBkRrMcgitS3SKRrjcabEkjATmMpinwIfQvc\nG0F53wMvIdapUchHhCaHSEpKIi4uNmY2i4uLo23btsEzukhJSSEuLk532WlCJpGsLVNv4anQbEEU\ni4A0bNhQIaZ6vehFL3ln+ZXo0Qxpf3ICpbGGNm3aqLi4uIiOPXr0qJo+fbq68847VY0aNVShQoVU\n8eLF1Q033KBmzJihMjMzwyrP4XCotm3bhpz/q6++Ug6HQ40aNSqs8zidTuV0OtXbb7+tHA6HmjVr\nVljHu9Oz50MK3lKgcnAx/s85eU5ZEhIGqAkTJkRcX0bdR4Lruv1ihc9UZcTaYPAn0o11KMAxrdev\nX4/IptFo8gqu2HIvIl1pYywuPh0dAT1PsWDBAh599FEqVapE27ZtqVq1KgcPHuSjjz7igQceYMmS\nJXzwwQdRO/+1117Lli1bKFPGn7dJ1hh+O7NmzQLA4QjFbVVjBdHyV7PKAd37SQimJbWw6LwajSb3\n8V+kq7ck4tsYLnd4/XYAlYD+wHfZE02Tm6hduzaLFi2iU6dOHukvvvgi11xzDR9++CEfffQRd911\nV1TOX6hQIWrVqpXtcrRhIfdjRUf1PqCK2+/LXWneJGE6benJSDWavMtARCF6mshGyH3itXyE+Oet\nx/+Aj5gmLS2NwoULc+WVV2aZ5/bbbycuLo5169aFXb7hB7R//37uu+8+ypUrR+HChWnWrBnz5s3z\nye/uB/TTTz/RqVMnSpUqRVxcHHv27LmYb968ebRt25YSJUpQqFAh6tWrxwsvvMD58/5dVefPn0/T\npk0pXLgw5cuXp1evXuzfvz/s63Gnbdu2PooUQPny5XnkkUcA+Prrr8Mu9+jRozz00ENUrFiRggUL\nctVVV120IrmTlc/Uzp07eeihh7jyyispXLgwpUuXpkGDBvTr149jx44B4iuWnJwMQN++fYmLi7u4\nuNezJncQimWqI/AfREl6GnjZa38K4rA5DJnSAfx38aVger63wndEl0ajyRv8g4zwfCHC42PDW9ki\nSpYsyb333svbb7/Nl19+Sbt2nt+ae/fuZcmSJTRr1owmTZpEdI60tDSuv/56SpYsyf33309aWhoL\nFiygR48e7Nu3jyeffNLnmB9++IGXXnqJVq1a8cADD/DXX3+RkCADpJOTk5k1axZVqlSha9eulChR\ngh9++IHnnnuOFStW8MUXX5AvX76LZY0fP54hQ4ZQsmRJevfuTYkSJVi6dCnXX389xYsX9zm3FeTP\nn99jHSpGXRUoUIBu3bpx7tw5FixYQHJyMnFxcfTq1cvnGPduugMHDtC8eXNOnjxJp06d6Nq1K2fP\nnmXnzp28++67PP7440yaNImSJUvSuXNnFi5cyJ133kmjRo0ulhGtOtHYNy9iPmTi0EPtsma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AXQJ6rncTpfcq2HR/U80aOAa33OVikiIdK6j49/igsX3oAI3RRaAEvdfg9HvtrceQu4x+33FkIb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\nuu7ylb8K2AXdtmlImPolEuTOI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6yHkioTESxPA+4HiYZTyIJQtgDXJd6cjksRD8Ort6jw0FfkDa6CAwH7gmxHlu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\nAxGyf0DkAxH2jn6A9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9e0aMGOG4MmVv7/r16+e6PqVC/ec1FAQicfNNBq4Nsf96oC6S56Uf8JoDckVC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\nhK3XtWtX1q1bx6lTp9ixYwdz5szB6/Xy6KOPsmLFioTIUpe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