{ "metadata": { "celltoolbar": "Slideshow", "name": "", "signature": "sha256:aa29c49ae8e201b1dc55f55d0eef22a3e004eff3b23e14766719e093cb511761" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "

Bayesian data analysis with PyMC3


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Thomas Wiecki


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Quantopian Inc.


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\n", "
\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# About me\n", "\n", "* PhD candidate at Brown studying decision making using Bayesian modeling.\n", "* Quantitative Researcher at [Quantopian Inc](https://www.quantopian.com): Building the world's first algorithmic trading platform in the web browser." ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Why should you care about Bayesian Data Analysis?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "import prettyplotlib as ppl\n", "from prettyplotlib import plt\n", "import numpy as np\n", "from matplotlib import rc\n", "rc('font',**{'family':'sans-serif','sans-serif':['Helvetica'], 'size': 22})\n", "rc('xtick', labelsize=14) \n", "rc('ytick', labelsize=14)\n", "## for Palatino and other serif fonts use:\n", "#rc('font',**{'family':'serif','serif':['Palatino']})\n", "rc('text', usetex=True)\n", "%matplotlib inline" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('backbox_ml.png')" ], "language": "python", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "YmFja2JveF9tbC5wbmc=\n", "prompt_number": 2, "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "source": [ "* Blackbox models not good at conveying **what** they have learned." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image('openbox_pp.png')" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": "b3BlbmJveF9wcC5wbmc=\n", "prompt_number": 4, "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "subslide" } }, "source": [ "# Probabilistic Programming\n", "\n", "* Model **unknown causes** of a phenomenon as **random variables**.\n", "* Write a **programmatic story** of how **unknown causes** result in **observable data**.\n", "* Use **Bayes formula** to invert generative model to infer **unknown causes**." ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Random Variables as Probability Distributions\n", "\n", "* Represents our beliefs about an unknown state.\n", "* Probability distribution assigns a probability to each possible state.\n", "* **Not** a single number (e.g. most likely state)." ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Coin-flipping experiment.\n", "\n", "* Given multiple flips, what is probability of getting heads?\n", "* Maximum Likelihood answer:\n", "\n", "$$\\frac{\\# \\text{heads}}{\\text{total throws}}$$\n", "\n", "* However: \n", "\n", "$$\\frac{50}{100} = \\frac{1}{2}$$\n", "\n", "* Clearly something is missing!\n", "* **Quantification of uncertainty.**" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "Moreover...\n", "\n", "* Consider a single flip which comes up heads:\n", "\n", "$$ P(\\text{heads}) = \\frac{1}{1} = 1 $$\n", "\n", "* Again, this doesn't seem right.\n", "* Incorporate **prior knowledge.**" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy import stats\n", "# set every possibility to be equally possible\n", "x_coin = np.linspace(0, 1, 101)" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## $$ \\text{Express probability of heads as random variable } \\theta$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import prettyplotlib as ppl\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, xlabel=r'Hypothesis for chance of heads', \n", " ylabel=r'Probability of hypothesis', \n", " title=r'Prior probability distribution after no coin tosses')\n", "ppl.plot(ax, x_coin, stats.beta(2, 2).pdf(x_coin), linewidth=3.)\n", "ax.set_xticklabels([r'0\\%', r'20\\%', r'40\\%', r'60\\%', r'80\\%', r'100\\%']);\n", "# fig.savefig('coin1.png')" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "[,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/home/wiecki/envs/pymc3/local/lib/python2.7/site-packages/IPython/core/formatters.py:239: FormatterWarning: Exception in image/png formatter: LaTeX was not able to process the following string:\n", "'0\\\\%'\n", "Here is the full report generated by LaTeX: \n", "\n", "This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 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random.uniform(0,1) # np.random.normal(0,1) # \n", "# pylab.hist([choose_coin() for dummy in range(100000)], normed=True, bins=100)\n", "successes = []\n", "returns = 0.\n", "for i in range(10000):\n", " prob_heads = choose_coin()\n", " results = [random.uniform(0,1) < prob_heads for dummy in range(10)]\n", " if results.count(True) == 9: \n", " successes.append(prob_heads)\n", " if random.uniform(0,1) < prob_heads:\n", " returns += -1\n", " else:\n", " returns += 1\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111)\n", "r = ax.hist(np.array(successes), normed=True, bins=20)\n", "print len(successes)\n", "print \"Average return\", returns / len(successes)" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "-" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "719\n", "Average return -0.613351877608\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": { "internals": {}, "slideshow": { "slide_type": "-" } }, "source": [ "$$ \\theta \\sim \\text{Beta}(2, 2) $$\n", "$$ P(\\theta) = \\text{Beta}(2, 2) $$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, xlabel='Hypothesis for chance of heads', \n", " ylabel='Probability of hypothesis', \n", " title='Posterior probability distribution after first heads')\n", "ppl.plot(ax, x_coin, stats.beta(1, 1).pdf(x_coin)*stats.beta(90, 10).pdf(x_coin), linewidth=3.)\n", "ax.set_xticklabels([r'0\\%', r'20\\%', r'40\\%', r'60\\%', r'80\\%', r'100\\%']);\n", "plt.savefig('coin2.png')" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 108 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "-" } }, "outputs": [] }, { "cell_type": "markdown", "metadata": { "internals": {}, "slideshow": { "slide_type": "-" } }, "source": [ "$$ P(\\theta | h=1) = \\text{Beta}(3, 2) $$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, xlabel='Hypothesis for chance of heads', \n", " ylabel='Probability of hypothesis', \n", " title='Posterior probability distribution after 1 head, 1 tail')\n", "ppl.plot(ax, x_coin, stats.beta(3, 3).pdf(x_coin), linewidth=3.)\n", "ax.set_xticklabels(['0\\%', '20\\%', '40\\%', '60\\%', '80\\%', '100\\%']);\n", "fig.savefig('coin3.png')" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FnQhUVlZy+iBJMX8+oHVAXXYZcM45cuMhGgjz5+vltWuBDz6QFwvFtl7tNbB6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\nCAyg8nLgv/8V5eOOM+42SERE/WMyifV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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('coin3.png')" ], "language": "python", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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YPFnvz58vLvcSWcFA2QHaYrfbAQAOhwMKV5gjiQ4cAPLz9f6sWWJfJSKzWLhQ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\nuGlVenq6/6wbj3HodXZMrXbMLXsJzGaztbkQYuv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"prompt_number": 11, "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": { "internals": {}, "slideshow": { "slide_type": "-" } }, "source": [ "$$ P(\\theta | [h=1, t=1]) = \\text{Beta}(3, 3) $$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, xlabel='Hypothesis for chance of heads', \n", " ylabel='Probability of hypothesis', \n", " title='Posterior probability distribution after 20 heads and 20 tails')\n", "ppl.plot(ax, x_coin, stats.beta(22, 22).pdf(x_coin), linewidth=3.)\n", "ax.set_xticklabels(['0\\%', '20\\%', '40\\%', '60\\%', '80\\%', '100\\%']);\n", "fig.savefig('coin4.png')" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EufGUG0WRZ++RiFyenGRyJ1qpgmaFczgccDgcqK+vx4EDB/L6XENDA3bt2oWG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\nVQO2uVPVS78kr044QtbBdne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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('coin4.png')" ], "language": "python", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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02+UAvrZnT3buz/r10gc+sPTHWrtW+vCHs9tf+tLyagMQPCe5XYBbIpFIZrdXKBRSfX29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\nIB075l4tQJARgACPce42Yf6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"prompt_number": 13, "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "-" } }, "source": [ "$$ P(\\theta | [h=20, t=20]) = \\text{Beta}(22, 22) $$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Bayes Formula\n", "\n", "$$P(\\theta| \\text{data}) \\propto P(\\theta) \\ast P(\\text{data} |\\theta)$$\n", "$$\\text{posterior} \\propto \\text{prior} \\ast \\text{likelihood}$$\n", "\n", "$\\theta$: Parameters of model (chance of getting heads)).\n", "\n", "* Except in simple cases, **posterior impossible to compute** analytically.\n", "* Blackbox **approximation** algorithm: Markov-Chain Monte Carlo (MCMC) instead draws **samples** from the posterior." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy import stats\n", "fig = ppl.plt.figure(figsize=(14, 6))\n", "ax1 = fig.add_subplot(121, title='What we want', ylim=(0, .5), xlabel=r'\\theta', ylabel=r'P(\\theta)')\n", "ppl.plot(ax1, np.linspace(-4, 4, 100), stats.norm.pdf(np.linspace(-3, 3, 100)), linewidth=4.)\n", "ax2 = fig.add_subplot(122, title='What we get', xlim=(-4, 4), ylim=(0, 1800), xlabel=r'\\theta', ylabel='\\# of samples')\n", "ax2.hist(np.random.randn(10000), bins=20);" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JtIuLpSVL7MuTq5xOaelSax97DgEAgFyStmKooqLC0g6Hw/J4PJb28FLb/f39\nemXEp9twOKzi4mLNnz8/XfGQxZI/kJ97rjRvnj1Zct1FF1nbnZ1S0gVfAACArJXWpbV9Pp+8Xq9c\nLpd6enrkG3GjR1NTkxYvXqy6ujpVV1crGo3K5/PJ6XSqq6tLgUAgndGQpV54QXrkEWtf8gd2zJxP\nf1qaP9+cIidJe/ZI990nNTbamQoAAGBmGLFYLGZ3iMlobm5Wc3Oz3TFgk+99T7r88kS7okIKBu3L\nkw+++13pO99JtN1uqafHvjxApjMMQ1n21ooMYm4tMp1/P9l/PH8/mAkTfS1O2zQ5YKYNDaVOkeOq\nUPpdcIG5utyw3l7p6afty4P8Mzg4qP7+fg0ODsrr9XI/KQBgxlAMIWs8/rgUDifaBx0knXOOfXny\nxTHHSDU11j72HMJsqq+vVzgc1tq1axWLxbR8+XK7IwEAcgTFELJG8lWhs882VzxD+l18sbV9553S\nm2/akwX5JxqNqrq6WuFwWGvWrGEKDQBgxlAMISvs2iV1dFj7mCI3e84801zCfNgrr0g//7l9eZBf\nYrGY1q1bp8rKSoVCoZQ97AAAmCqKIWSF9nbp9dcT7fe+V1q0yL48+WbePHMJ85Fuu82WKMhDra2t\ncjqdWrdunXp7e9WRfGZkDCO3cxg2vK9dIBCQ1+uNb/EwnTEAQPZiNTlkhZNPlp54ItH+9rfNVc4w\ne0IhqbIy0Z4zR3r+eemoo+zLBIwmEAior69PjY2NGhoasoy53W719vZKMhdmqKurixdXkxmrr69X\ne3v7qD+f1eQwHawmx98PZgarySFnPPectRCSzBXOMLsWLJCOOy7R3rdPuvtu+/Igf4RCIZWXl+uE\nE06Q1+vVAw88MO7jq6ur1dDQkNIfDAblHHGjocPhiO9pN9kxv98/rd8JAJAZKIaQ8e64w9r+93+X\nysrsyZLPDCO1CL3tNokTeEi3+vp69fb2qrS0VKtXr9ZVV101pecJh8MqKiqy9DmdToVCoSmNbd++\nfUo5AACZg2IIGW1oSLr9dmvfhRfaEgUy7xuaMyfR/uMfpW3b7MuD/DGyGHFOcRnJSCQy5tjAwMCU\nxgAA2Y1iCBntscfM+1KGHXKIxBYj9jniCOm006x9LKSAdFu4cKEaGxsVjUbV1NSUcpVmokpKSlJW\nootEIjIMQ06nc9JjAIDsN9fuAMB4kj9oL10qHXaYLVHwtgsvlB58MNG+917p+983N8EF0qG1tVVt\nbW2SpLJJebY+AAAgAElEQVSyMm3YsGFKz+NyuUYtYhYsWKChoaEpjY1l5EI/VVVVqqqqmlJmAMDE\ndHd3q7u7e9LHUQwhY+3aJXV2WvuYIme/00+XSkrMvYYkKRKRfvELs1AFZlJTU5OlXVRUpL6+Pq1b\nt05XX331pJ+voqLC0g6Hw/HltytHLpU4ibGxsOopAMyu5BNP69evn9BxFEPIWFu2pO4txMlV+x14\noHTOOdIPf5jou+02iiHMPLfb/fYywwmxWCylL1koFFJXV5cMw1BTU5M8Ho+qq6slST6fT16vVy6X\nSz09PfL5fPHjpjoGYCbN3e/f+HgOO6xYu3YxjRUTxz5DyFinnCI9/niiffnl0hVX2JcHCdu2SW53\noj1njvTCC9KRR9qXCbmvv79fpaWldsfYL/YZwnSwzxD7FGFmsM8Qslo4bC2EJPYWyiSVldJHPpJo\n79tn3jsEpENnZ6fKy8u1atUqlZeX73efIQAAJopiCBnpzjut7U9+UiovtycLUo2251DyEujATLn6\n6qu1Y8cObd26VTt27JjyPkMAACSjGELGicVSN1o9/3x7smBs55wjFYx4Bfnf/zW/gJmWvK/QVPcZ\nAgAgGcUQMs5vf2tOkxt20EFSba19eTC6o4+WkhfUSr6iB8yE0tJSLV68WF6vV4sXL5ZkLmiwefNm\nm5MBALIdxRAyTvJ0qzPPlKa4xyLSLHmq3F13SXv32pMFuausrCy+lLXH45HH41E0GtXAwIDNyQAA\n2Y6ltZFRXn9dam+39jFFLnOdeaa5Ce7u3Wb75Zelri7p1FPtzYXc4vF4dP/99ysajcb7Nm3aZGMi\nAECuoBhCRnnwQWlwMNE+/HDp7VkxyECHHCItXy7dckui7447KIYws+rr67Vu3ToVFRVNaJ8hAAAm\nar/FkM/n07Zt2xSJROR0OuP/6/F4tJRdFjHDkqfInXuudMAB9mTBxFxwgbUY+ulPzYLW4bAvE3KL\n0+nk/QYAkBZjFkOBQEDRaFS1tbWqr69PGe/v71dnZ6dcLpcqKirSGhL54aWXpEcesfYxRS7znXyy\nNH++tHOn2d6zR+rokOrq7EyFXOLxeLR48WK5XC5J5kZ6N910k82pAAC5YMxiyO12yzHOqd3S0lKV\nlpaqv78/LcGQf+6919y8c9hHPyodf7x9eTAxBQXSeedJV1yR6Lv9doohzJzW1la1tLTE35OYJgcA\nmCnjTpPz+XyKRqMqKytTZWWl5s+fn/KY0tLSdGVDnhltbyE+82SH5GLoN7+R+vslXh4wEyorK5km\nBwBIizGX1vb7/aqpqVFpaanuu+8+LVu2TG63Ww888MBs5kOe+MMfpO3bE+2CAnNTT2SH971POukk\na99dd9mTBblnYGBAixcvVlNTk5qamrRu3Tq7IwFjKix0yjCMKX8BmF3jXhkyDEPLli2TYRjxs3Jb\ntmzR5s2bVcccGMyg5M06PR5zU09kj/PPl373u0T7jjukyy/n6h6mb+3atZY2HxiRyXbvHpAUm8Yz\n8O8bmE1jFkNLly7Vli1btGbNGklScXGxXC6XPB6P2pM3ggGmYd++1KsI551nTxZMXW2tdOml0ptv\nmu0dO6Tf/z71ihEwWTU1NZZ2KBSyKQkAINeMe2Vo2bJlWrZsmYLBoHp7e7V161aVlJRo2bJls5UP\neSAQkF58MdE+9FDprLPsy4OpcTql00+XRs6kvfNOiiFMX2dnp1pbW2UYhmKxmPr7+/Xcc8/ZHQsA\nkAPGLYaampq0cuVKVVZWqrKy0jIWCoV0//33a8OGDWkNiNyXPEVu2TLpHe+wJwum5/zzrcXQffdJ\n110nHXSQfZmQ/VpbW7Vhwwa1tbVp2bJl8vv9dkcCAOSIcYuhDRs2aOPGjVqzZo2Kiorim65Go1F5\nPB4KIUzb7t3WD88SU+Sy2amnSiUl0iuvmO2BAemXv5TOPtveXMh+wyfkampq1NbWZnMaAECuGLcY\nkqQ1a9ZozZo1ikaj6u/vl8vlGnf/IWAyHnhAeu21RPvf/k2qqrItDqbpwAOllSulH/0o0XfHHRRD\nmJ5YLKbOzk5JiS0fAACYCWMurZ2sqKhIFRUVFEKYUclT5M4911xWG9kr+creQw9J//ynPVmQG7q6\nulRZWakNGzaor69PLS0tdkcCAOSIcT92+nw+FRQUaM6cOewvhBn3/PPSo49a+5gil/0+9jHp/e9P\ntN96S2IBSkzH4OCgJHNJ7ZKSEhUXF9ucCACQK8YthlpaWjQwMKBnn31WV1111WxlQp64+24pNmIr\nhoULpWOPtS8PZoZhmAspjHTHHfZkQW6or69XOBzW2rVrFYvFtHz5crsjAQByxLjFUFFRkRwOh8rK\nymYrD/JELJY6RS75AzSy17nnWttPPik9+6w9WZD9otGoqqurFQ6HtWbNGsVi09nQEgCABO7OgC2C\nQen//i/RnjvXvPEeuWH+fOlTn7L2JRe/wETFYjGtW7dOlZWVCoVCLKAAAJgx4xZDwWBQ5eXlKi8v\nt3z/vve9b7byIUclT5v67Gelww+3JwvSI/lK3513SkND9mRBdmttbZXT6dS6devU29urjo4OuyMB\nAHKEERtnvsF4Z9+KiorSEmh/mpub1dzcbMvPxsx46y3p3e+W/vGPRF97u8RtALll1y7piCOkPXsS\nfb/+tXTKKfZlAmaDYRhM5ctjhmFIms5/f46f7vH8/UGa+Gvxfu8ZGusLmKpHHrEWQg6HdMYZ9uVB\nehQWSmedZe1jIQUAAJBJuGcIsy75A3FtrTRvnj1ZkF7JU+U6OqTXX7cnC7LP5s2bJYmtHQAAaTPX\n7gDIL9Go9POfW/tYRS53eTzmVLmXXzbbu3aZ//1XrLA3F7LD/fffr/b2dvX29mrTpk3xfsMw9Mgj\nj9iYDACQKyiGMKs6OqQ33ki0S0ulT37SvjxIr7lzpXPOka67LtF3++0UQ5iYrq4uhcNhtbS0qKmp\nacbuAwiFQurt7ZXT6VQ4HNayZctUWloqSQqHw+rs7FRlZaWCwaAaGhrkcDj2OwYAyE4UQ5hVyVPk\nzjvP3KQTuev8863F0Nat0ksvSUceaV8mZA+Xy6XW1tYZfU6/36/Vq1fH242NjfErT7W1tert7ZUk\nud1u1dXVxVevSx6rr69Xe3v7jGYDAMwu7hnCrOnrk37zG2vfeefZkwWz5/jjpY9+NNHet0+69177\n8iD7BAIBOZ1OOZ1OlZSU6NFHH53W87W2tmpwcDClPxgMyul0xtsOh0OBQGDMMb/fP60cAAD7UQxh\n1tx1l7X9iU9I5eX2ZMHsMYzU+8Juv92eLMhOa9euVX9/vyKRiHp6erRmzZppP19paal8Pp98Pp82\nbtwoyZwGl7xaqtPpVCgUGnNs+/bt08oCALAXxRBmRSyWOkWOhRPyx7nnSgUjXm3+93/NL2AinE5n\n/N4cl8tluUIzFfX19WpoaFBLS4taW1v1yiuvSJIikciYxwwMDEzrZwIAMhP3DGFWPPGEFA4n2gcd\nZC6pjfxw1FHS4sXSww8n+u6805xCB+yPw+HQNddco4qKCgWDwWntdReNRrVhw4b4l9frlcfj0Y4d\nO+R0OlM2G49EIjIMY8yxsYzcHLyqqkpVVVVTzgwA2L/u7m51d3dP+jiKIcyK5KtCn/+8VFxsTxbY\n4/zzrcXQ3XdLGzaYK84B4+no6NDGjRvV0dGhsrKyaS1aEAgE5PF44u3Vq1err69PoVBIZWVloxY4\nCxYs0NDQ0JhjoxlZDAEA0i/5xNP69esndBwfQ5B2r78uJX92YYpc/jnzTOmww6Tdu832Sy9JXV3S\nqafamwvZYbr3CQ1zuVzy+/2qrq6O9xUVFamioiLlseFwOF44VVZWjjkGAMheFENIuwcflEYu3HT4\n4dJnPmNfHtjjkEPMqZE335zou+MOiiHMroqKCoXDYfl8PjmdTkUiEa1cuTI+7vP55PV65XK51NPT\nI5/PN6ExAEB2MmIztYvdLGlubmb6QZY5/XTpoYcS7a99zbrvDPLH//yP9KlPJdrz5plXiNi3EuN5\n9NFHtWjRIrtjTJhhGDO2QSyyj2EYkqbz35/jp3s8f3+QJv5azGpySKuXX7beJyIxRS6fnXyyNH9+\nor1nj/T2fpZACp/Pp8bGxvjS2itWrLA7EgAgx1AMIa3uvtvcZHPYRz4ijXG/MfJAQQF7DmHi6uvr\ntWbNGsViMbW0tKirq0tut1v/+Z//aXc0AECO4J4hpE0sJt16q7XvwgvNTTiRv84/X/rudxPt3/xG\n2rGDDXiRyufzadu2bTIMQ2vXrlUkElF7e7v6+/vtjgYAyBFcGULahELSM88k2nPmmJtvIr+VlZnT\n5UZKXnodkFKvDPn9frndbm3cuNHuaACAHEExhLRJnv702c9KRx5pTxZklgsvtLZvv10aGrIlCjKc\ny+XSunXrtGnTJtXX16u3t1erV6+2OxYAIEekdTW5cDiszs5OVVZWKhgMqqGhQY4xlo0KhULq7e1V\nNBpVT0+PWlpaVFpamvI4VpPLDm++KR19tPTKK4m+jg5p2TL7MiFz7NplFsavv57oCwSkLFowDBgT\nq8nlN1aTs/94/v4gTfy1OK33DNXW1qq3t1eS5Ha7VV9fP+rO4YODg+rt7VV9fb2kxA7hO3bsSGc8\npNFDD1kLoeJi6Ywz7MuDzFJYKC1ZYi6wMez22ymGAADA7ErbNLlgMCin0xlvOxwO+f3+UR/b19en\nlpaWeHvhwoUKh8PatWtXuuIhzZKnyH3hC9JBB9mTBZkpearcli3S7t22RAEAAHkqbcVQOBxWUVGR\npc/pdGr79u0pj62srLQUSr29vSouLlZhYWG64iGN/v536yarUuoHX+DTn5be855E+7XXpM5O+/IA\nAID8k7ZiKBKJTOrx80fsxNjW1iafzzfDiTBb7rlH2rs30T72WMntti8PMtOcOal7Dt12my1RAABA\nnkpbMVRSUqJoNGrpm0iB5PP5tHLlSi1ZsiRd0ZBGo+0tdMEF7C2E0SUXQ7/+tRQO25MFAADkn7QV\nQy6Xa9TiZ8GCBWMeEwgEVFZWRiGUxUIh6emnE+2CAumLX7QvDzLbBz4gnXSStY+rQwAAYLakrRiq\nqKiwtMPhsDwej6U9ODgYbw8vuLDo7eWktmzZkq5oSKPkq0Kf/ay5xDYwlv/4D2v7ttukfftsiQIA\nAPJMWjdd9fl88nq96uzsTLkPqKmpSR0dHZLMwsjtdmvhwoUqKChQQUGB1q1bl85oSIM9e6xLJUvS\nRRfZkwXZY8UK6eCDE+3nn5cefdS+PAAAIH+kddPVdGDT1czV3m5+sB1WUiL97W/SgQfalwnZ4fzz\npTvvTLRXrpTuvde+PMB0sOlqfmPTVfuP5+8P0sRfi9N6ZQj55ZZbrO0vfpFCCBOTfAXxJz+RBgbs\nyQIAAPIHxRBmxPPPS1u3WvuS7wUBxnLKKVJpaaL9xhtcGQIAAOlHMYQZcccd5rLawyorpeOPty8P\nsktBQWrxnHylEQAAYKZRDGHaRttbiKtCmKzk/ai2bbMu0w4AADDTKIYwbY8/LvX1JdoHHiidc459\neZCd3vteqabG2sfVIQAAkE4UQ5i2zZut7bPOkpxOe7IguyVfUbzzTvP+IQAAJmauDMOY8ldhIR9g\n8g3FEKYlGpXe3i4qrq7OnizIfmefLRUXJ9qRiPTTn9qXBwCQbfbKXJp7al+7d7OUab6hGMK03HOP\nudnqsGOOkaqr7cuD7DZvnnTeeda+5CuPAAAAM4ViCFMWi0k+n7Xv4ovNlcGAqbr4Ymvb75f6++3J\nAgAAchsfWzFlwaC0fXuiXVAgXXihbXGQI447TvrYx6x9LKQAAADSgWIIU5Y8femzn5X+7d/syYLc\nknzf2a23Snv32pMFAADkLoohTMmrr5r3C43EwgmYKStXSu94R6L9179KDz9sXx4AAJCb5todANmp\no0PatSvRPuII6fTT7cuD3HLYYWZBdPPNib7Nm/k3hpnT2dlpaS9dulSSFA6H1dnZqcrKSgWDQTU0\nNMjhcOx3DACQnSiGMCXJU+QuvFA64ABboiBH1dVZi6Ff/EJ68UXpqKPsy4TcsHHjRpWXl2vJkiUa\nHBxUdXV1vBiqra1Vb2+vJMntdquurk4db+8fkDxWX1+v9vZ2e34JpE1hoZPllYE8wjQ5TNozz0hP\nPGHtS14BDJiuE0+UPvzhRHvfPhZSwPRFo1Ft2LBBS5YskSQ5HI54gRMMBuUcsWO0w+FQIBAYc8zv\n989icswWsxCa+j41ALILxRAmrbXV2q6qkt73PluiIIcZhlRfb+1razOLImCqent75XK51NnZqUAg\nIK/Xq/63124Ph8MqKiqyPN7pdCoUCo05tn3kkpoAgKxDMYRJefVV6c47rX2NjfZkQe47/3xzI9Zh\nf/mL9Mgj9uVB9guHwwoGg/J4PKqurlZDQ4M8Ho8kKRKJjHncwADTpgAgF3HPECbl/vulwcFE+13v\nks4+2748yG3FxdKKFdLttyf6Nm2STjvNvkzIbi6XSy6XS4WFhZLM6W7hcFg7d+6U0+lUNBq1PD4S\nicgwjDHHxtLc3Bz/vqqqSlVVVTP2OwAAUnV3d6u7u3vSx1EMYVKSp8hddJF04IH2ZEF+aGy0FkMP\nPSQ9/zx7WmFqXC5XSt/w9LeysrJRC5wFCxZoaGhozLHRjCyGAADpl3ziaf369RM6jmlymLBQSHrq\nKWtfQ4M9WZA/TjxROv74RHtoKHU1Q2CiXC6XioqKNPj2Je5oNKqysjLNnz9fFRUVlseGw+H4FLrK\nysoxxwAA2YsrQ5iw5KtCixdLo5xkBWaUYUirVkmXXJLo27xZ+va3pbm8gmEKOjo6dPXVV+uEE05Q\nT09PfOlsSfL5fPJ6vXK5XOrp6ZHP55vQGAAgOxmxWCyr1oFsbm5m+oENdu+Wjj5a+te/En0PPMD9\nQpgdu3aZ//5efTXR95OfSGedZV8mYCyGYSjL3loxgmEYmt4S2Ryf7cfz95sbJvpazDQ5TMjdd1sL\noaOOkk4/3b48yC+FhdI551j7Nm2yJwsAAMgdFEPYr1hM+tGPrH11ddIBB9iTB/lp1Spr+5FHpOee\nsycLAADIDRRD2K/HH5eeeSbRLihI3QwTSLeFC6WPfczad9NN9mQBAAC5gWII+3Xjjdb2WWexrDHs\n8eUvW9u33GK9jwgAAGAyKIYwrr/+1bxRfaQvfcmeLMDy5dI735loDw5K99xjXx4AAJDdKIYwrrY2\nae/eRPtDH5I+/Wn78iC/zZuXOkXzxhvN+9oAAAAmi2IIY3rzTbMYGulLXzL3fQHs0tho3rc27Omn\npSeesC8PAADIXhRDGNMDD0gvvZRoH3qodN559uUBJOm975XOOMPal3xfGwAAwERQDGFMyctpX3CB\nud8LYLfkhRQ6O6UXX7QnCwAAyF4UQxhVKCT95jfWvksusScLkKy6WvrABxLtvXvZhBUAAEwexRBG\ndf311vaiRdKxx9qTBUhmGKmrGt50k7Rnjz15AABAdqIYQooXX5Tuvdfa97Wv2ZMFGMuFF1qnbf7j\nHyyzDQAAJodiCCluukl6661Eu7xc+tzn7MsDjOaww6S6Omvf9dezzDYAAJg4iiFY7NljFkMjXXqp\ndSljIFN85SvWf5t/+IP02GP25QEAANmFj7iwuPtu6Z//TLQdDnM6EpCJ5s+Xzj7b2nfddbZEAQAA\nWYhiCHGxWOrCCXV15v5CQKZKvp/tF7+QnnvOniwAACC7UAwhLhCQnnkm0S4oMKchAZnsk5+U3G5r\n3w9+YE8WAACQXSiGEHfttdb2kiXSMcfYkwWYKMNIvTp0663SK6/YkwcAAGQPiiFIkp5+WvrVr6x9\nLKeNbLF8uXT00Yn2a6+lLgQCAACQjGIIkqRrrrG2TzpJ+sQn7MkCTNaBB5qrHo50ww3S66/bkwcA\nAGQHiiHoL39J3WR1zRpz+hGQLVatMvceGvaPf0i3325fHgAAkPkohqDrr5f27k203/9+6fOfty8P\nMBUOh9TYaO275hpp3z578gAAgMxHMZTnBgaktjZr3+rVbLKK7HTppdIBByTafX3ST35iXx4AAJDZ\n+Mib5266SXr11UT7yCOlL37RvjzAdLz73an/fjduNPfQAgAASEYxlMf27DFvMh/p0kulefPsyQPM\nhG9+09ru6ZF+/Wt7sgAAgMxGMZTHbrlFevnlRPvQQ1PvuQCyzbHHSmecYe276ip7sgAAgMxGMZSn\n3nxTammx9jU0SEVF9uQBZtKaNdZ2V5f05JP2ZAEAAJmLYihP3XmnuaT2sIMOSp1eBGSrk0+WTjnF\n2nfllfZkQWZbvny5pR0Oh+X1ehUIBOT1ejU4ODihMQBAdpprdwDMvr17pauvtvbV1UlHHWVPHiAd\nvv1tyeNJtH/xCykUkioq7MuEzOL3+9XZ2Wnpq62tVW9vryTJ7Xarrq5OHR0do47V19ervb19dkMD\nAGYUV4by0H33mUsODzvggNRpRUC2q66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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## Approximating the posterior with MCMC sampling" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image('wantget.png')" ], "language": "python", "metadata": { "internals": { "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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AE6CABwAAAADABCjgAQDATUVHR6t8+fKqU6eOU/+cOXMUFBSk+++/XyNGjLD3T5kyRTVr\n1lRwcLCSkpLs/bt27VKDBg1UvXp1vfLKKwWWHwAAd0ABDwAAbqpPnz6Ki4tz6vvxxx81c+ZMLV26\nVDt27NDw4cMlSUePHtX06dO1evVqzZgxQzExMfbHDBs2TCNGjFBqaqoSExO1cePGAn0eAACYGQU8\nAAC4qbCwMPn5+Tn1ffvtt+rbt69q1qwpSbrnnnskScnJyYqKipK/v7/Cw8NltVqVkZEhSdqzZ4+6\ndOmiMmXKqFOnTkpOTi7YJwIAgIlRwAMAgNuycuVK/fjjj2rUqJH69eunnTt3SpJSUlIUFBRkv1/t\n2rWVnJysn3/+WeXKlbP3BwcHa8OGDQWeGwAAs6KABwAAt+XPP//UyZMntXbtWrVv317/+Mc/JElW\nqzXLfS0WS5a+7O4HAABy5m10AAAAYE6hoaGKiIhQ8eLF1a5dOw0YMEB//vmnmjRpovj4ePv9du/e\nrZCQEPn4+OjIkSP2/p07dyo0NDTH7Y8ZM8b+fUREhCIiIvLjaQAA/pKQkKCEhASjY+AGKOABAMBt\neeihh/Ttt9+qbdu2SklJUY0aNVSsWDE1btxYL7zwgg4cOKD9+/fLy8tLPj4+kqTAwEAtXLhQLVu2\n1JdffqlJkybluP3rC3gAQP7L/GHpa6+9ZlwYZIsCHgAA3FS3bt2UmJioEydOqEqVKho7dqx69eql\nlStXKjg4WIGBgZo4caIkqXz58ho4cKBatGihIkWKKDY21r6dCRMmqEePHho5cqS6du2qRo0aGfWU\nAAAwHYuVE9A8ksVi4dxDADAYY3HOeG0AwHiMxa6HRewAAAAAADABCngAAAAAAEyAAh4AAAAAABOg\ngAcAAAAAwAQo4AEAAAAAMAEKeAAAAAAATIACHgAAAAAAE6CABwAAAADABCjgAQAAAAAwAQp4AAAA\nAABMgAIeAAAAAAAToIAHAAAAAMAEKOABAAAAADABCngAAAAAAEyAAh4AAAC4BSVLlpbFYrntr5Il\nSxv9FACYlMVqtVqNDoGCZ7FYxK8eAIzFWJwzXhu4MovFIulO/j75+4Y5MBa7Ho7AAwAAAABgAhTw\nAAAAAACYAAU8AAAAAAAmQAEPAAAAAIAJUMADAAAAAGACFPAms2bNGgUFBalmzZqaOnVqjvdLTU2V\nt7e3vvjiiwJMBwAAAADILxTwJjNkyBDFxsYqPj5e06ZN0/Hjx7Pc58qVKxoxYoSioqK47AMAAAAA\nuAkKeBM5c+aMJKl58+aqWrWqWrVqpeTk5Cz3mzp1qjp37qx77rmnoCMCAAAAAPIJBbyJpKamKjAw\n0N4ODg7Whg0bnO5z8OBBLVmyRAMHDpQkWSyWAs0I5DerVbp61fHFJBMAAAB4Cm+jAyBvPffcc3rz\nzTdlsVhktVqZQg/Tu3pV2rJFWrVKWrlSWr9e+vNPx+2FC0uNG0uPPiq1aiWFhEjejGwAAABwQxYr\nFZ5pnDlzRhEREdqyZYsk6dlnn1VUVJQee+wx+32qV69uL9qPHz+uu+66S7NmzdITTzzhtC2LxaLR\no0fb2xEREYqIiMj/JwHk0qVL0gcfSK+/Lh08mPvHlS0rjRgh/eMfUrFi+ZcPuB0JCQlKSEiwt197\n7TU+aM3BtQ+iAVdkm+F4J3+f/H3DHBiLXQ8FvMnUr19fkydPlr+/v6KiopSUlKSyZctme98+ffqo\nXbt26tSpU5bbeDPCVVmt0pdfSiNHSnv33v52/P2lf/1L6t5dKlQo7/IBeYmxOGe8NnBlFPDwFIzF\nrodz4E1m0qRJGjBggFq2bKlBgwapbNmyio2NVWxsrNHRgDv2++/SI49If/vbzYt3i8X2lZMDB6Te\nvaUmTaRffsnbnAAAAIAROALvofg0Da4mNVXq2DH76fLFiklt2tjOcX/0UalGDcdtv/5qOz9+1Spp\n+XIpPT3r40uXlhYtsn04ALgSM43F0dHRWr58ucqVK6ft27c73fbOO+/ohRde0PHjx1W6dGlJ0pQp\nUzR16lQVLlxYM2fOVLNmzSRJu3btUvfu3XX69Gl169ZNb7zxRrY/z0yvDTwPR+DhKRiLXQ9H4AEY\nbt48KSwsa/Hu5SX16yf9/LP0xRfSM884F++SVKWKFB0tLVgg7d8vPfecbWG76508KbVuLU2axKr1\nwO3q06eP4uLisvT/+uuvWrVqlapWrWrvO3r0qKZPn67Vq1drxowZiomJsd82bNgwjRgxQqmpqUpM\nTNTGjRsLJD8AAO6AAh6Aof75T9tU9wsXnPsjI6Xt26VZs6RKlXK3rbJlpXfflfbskdq3d77tyhXp\n+eelQYMo4oHbERYWJj8/vyz9Q4cO1fjx4536kpOTFRUVJX9/f4WHh8tqtSojI0OStGfPHnXp0kVl\nypRRp06dlJycXCD5AQBwBxTwAAzz1lu2heYyGzbMdsm44ODb2261araF8N54I+t58u+/Lw0fThEP\n5IUlS5aocuXKqlu3rlN/SkqKgoKC7O3atWsrOTlZP//8s8qVK2fvDw4O1oYNGwosLwAAZsfVkgEY\nYsYM6aWXnPuKFZP+8x/byvF3ymKRXn5ZevBB6amnpD/+cNw2caJUqpTt6D+A23Pu3Dn9+9//1qpV\nq+x9186TzO58SUs2q05yXiUAALeGAh5Agfv4Y2nwYOc+Hx/bUffQ0Lz9WY89Jm3YIEVESEePOvpH\nj7YV8UOG5O3PAzzFvn37lJaWpgcffFCS9Ntvv6lhw4ZKTk5WkyZNFB8fb7/v7t27FRISIh8fHx05\ncsTev3PnToXe4E0/ZswY+/cRERGKiIjI8+cBz1OyZGmlp58yOgbgkhISEpSQkGB0DNwAq9B7KFaU\nhFHi46WoKNs56dcUKyatWCE1b55/P/eHH2xF/OnTzv0LF0pduuTfzwVuxGxjcVpamtq1a5dlFXpJ\nqlatmjZt2qTSpUvryJEjCg8P18qVK7V//34NHTpUmzdvliS1bdtWvXr1UsuWLdWhQwdNmjRJjRo1\nyrI9s702MI87X0FekliFHp6Bsdj1cA48gALz229St27Oxbu3t/T55/lbvEu2qfTffCPddZdzf9++\n0q5d+fuzAXfQrVs3NW3aVHv37lWVKlU0Z84cp9uvnyJfvnx5DRw4UC1atNCgQYM0efJk+20TJkzQ\n+PHjFRISorCwsGyLdwAAkD2OwHsoPk1DQbt0SQoPl9avd/RZLLYj4P/3fwWXIz7eNq3+4kVHX1CQ\nlJIi3X13weUAJMbiG+G1QX7hCDyQe4zFrocj8AAKxIgRzsW7JI0dW7DFuyS1bClNnerct2uX7Rrz\n7J8AAAXDWxaL5ba/SpYsbfQTAGAQjsB7KD5NQ0H6/HOpc2fnvjZtpGXLJC8DPka0Wm3Xnv/oI+f+\nGTNshTxQUBiLc8Zrg/ziKkfgOYIPM2Asdj0U8B6KNyMKym+/Sfff73wZtypVpC1bpDJljMt19qzU\npIm0Y4ejr0gRW67bvf48cKsYi3PGa4P8QgEP5B5jsethCj2AfGO1SgMHOhfvhQtLixcbW7xLUokS\ntpkB15/3fvGibVG76xfZAwAAAFwFBTyAfLNggW2a/PXeest25NsV1K4txcY6923YkPUceQAAAMAV\nMIXeQzEdBvnt6FHbVPQTJxx9TZtKa9cac957TqxWqUMHaelSR99dd0nbt0vVqxuXC56BsThnvDbI\nL0yhB3KPsdj1uNC/0QDcyZAhzsV70aLSBx+4VvEu2S5lN2OGVKqUo+/cOenvf2dVegAAALgWF/tX\nGoA7+Ppr2/Xdrzd6tBQYaEyem6lYUXrnHee+//7X9oEDAAAA4CqYQu+hmA6D/PLnn1JQkJSW5uir\nX19KTrYtYOeqrFapVSspPt7RV6aM9NNPkp+fcbng3hiLc8Zrg/zCFHog9xiLXQ9H4AHkqUmTnIv3\nQoWk2bNdu3iXbFPpZ860nf9+zYkT0r/+ZVwmAAAA4HoU8ADyzO+/S2+84dw3eLBUr54xeW5VtWrS\nyy87902dKu3da0weAAAA4HpMofdQTIdBfujXz/m8cT8/6eefpdKljct0q86ft52rf+CAo69dO+dV\n6oG8wlicM14b5Bem0AO5x1jsejgCDyBPbNlimyp/vddeM1fxLknFi0vjxzv3ff21tGqVMXkAAACA\nazgC76H4NA15yWqVIiKkNWscfUFB0g8/uP6579mxWqWwMOn77x19998vbd0qeXsblwvuh7E4Z7w2\nyC8cgQdyj7HY9XAEHsAd+/pr5+JdkiZONGfxLtkWtJs0yblvxw5pzhxj8gAAAAASR+A9Fp+mIa9c\nvWq7TNy2bY6+Nm2kb74xLlNeefppae5cR7tKFdtl5YoWNSwS3Axjcc54bZBfOAIP5B5jsevhCDyA\nO/L5587Fu8UivfWWcXny0uuvOxfrv/4q/ec/xuUBAACAZ6OAB3DbrlyR/vlP576uXaU6dYzJk9cq\nV5aeeca57/XXpXPnjMkDAAAAz0YBD+C2ffKJtHu3o+3lJY0ebVye/PDSS7aV6a/5/Xdpxgzj8gAA\nAMBzUcADuC2XLtkuE3e9Xr2k2rWNyZNfKlSQnn3Wue/NN6WMDGPyAAAAwHNRwAO4LXPnSvv2Odre\n3lmn07uLF16Q7r7b0T5+XJoyxbg8AAAA8EwU8ABu2aVLtnPBr9e3r1StmjF58lvZstLzzzv3TZgg\npacbkwcAAACeiQIewC1buFD63/8c7SJFpFdeMS5PQRg6VPL1dbRPnZJmzjQuDwAAADwPBTyAW3L1\nqu0c8OtFR9uuke7OfH2lmBjnvokTpQsXjMkDAAAAz0MBD+CWLFsm7dzpaHt52c4R9wQxMdJddzna\nhw5J8+YZlwcAAACehQIeQK5ZrdK4cc59XbpI1asbk6eglSkj9e/v3Dd+vHTlijF5AAAA4Fko4AHk\nWmKitGGDc99LLxmTxShDh0qFCzvaP/8sff65cXkAAADgOSjgAeRa5nPf27aV6tY1JotRqlSRevRw\n7hs3zjY7AQAAAMhPFPAAcmXLFmnFCue+kSONyWK0F1+ULBZHe+vWrK8N4G6io6NVvnx51alTx973\nwgsvKCgoSA0aNNBzzz2n8+fP22+bMmWKatasqeDgYCUlJdn7d+3apQYNGqh69ep6xd0vXwEAQB6j\ngAeQK++849xu1sz25YkCA6WOHZ37Mr8+gLvp06eP4uLinPpatWqlHTt2aOPGjTp79qw++eQTSdLR\no0c1ffp0rV69WjNmzFDMdZdwGDZsmEaMGKHU1FQlJiZq48aNBfo8AAAwMwp4ADd16JD06afOfSNG\nGJPFVWQ+9z8+XvrxR2OyAAUhLCxMfn5+Tn2PPvqovLy85OXlpdatWysxMVGSlJycrKioKPn7+ys8\nPFxWq1UZGRmSpD179qhLly4qU6aMOnXqpOTk5AJ/LgAAmBUFPICbmjZNunzZ0a5Vy3b+uycLCck6\nA2HSJGOyAK5g1qxZateunSQpJSVFQUFB9ttq166t5ORk/fzzzypXrpy9Pzg4WBsyr4wJAAByRAEP\n4IbOnZNiY537hgyxXf/d0z33nHP744+lY8eMyQIYaezYsfLx8dGTTz4pSbJms6qj5fqFI/6S3f0A\nAEDOvI0OAMC1ffyxdOKEo+3nJ/XubVweV9KhgxQQIKWl2doXLkjvvy+9+qqRqYCC9eGHH2rFihVa\nvXq1va9JkyaKj4+3t3fv3q2QkBD5+PjoyJEj9v6dO3cqNDQ0x22PGTPG/n1ERIQiIiLyNDsAwFlC\nQoISEhKMjoEbsFj5+NsjWSwWjnzgpqxW6f77pV27HH0jRmS9nJwnmzhRGjbM0a5QwVbQFy1qWCSY\niNnG4rS0NLVr107bt2+XJMXFxWnYsGFas2aNypQpY7/fkSNHFB4erpUrV2r//v0aOnSoNm/eLElq\n27atevXqpZYtW6pDhw6aNGmSGjVqlOVnme21gXnYZoPc6d/WnW7jzh/P+wMFgbHY9VDAeyjejMiN\nFSukqChHu1Ah6ZdfbNdCh82ZM1LlytJf63NJkubOlXr1Mi4TzMNMY3G3bt2UmJio48ePq3z58nrt\ntdc0btw4Xbx4UaVLl5YkPfTQQ5o+fbokafLkyZo6daqKFCmi2NhYhYWFSbIdde/Ro4dOnTqlrl27\naty4cdmZGax/AAAgAElEQVT+PDO9NjAXCngg9xiLXQ8FvIfizYjcaNNGuv6qUV27SgsWGJfHVQ0Z\nIk2Z4mjXry9t2uR8rXggO4zFOeO1QX6hgAdyj7HY9VDAeyjejLiZvXul2rWd+zZskJo0MSaPK9u3\nT6pZ03bKwTVr12ZdpR7IjLE4Z7w2yC8U8EDuMRa7HtaRBpCtGTOc26GhFO85qVFDeuIJ576/ZhED\nAAAAeYYCHkAWZ89Kc+Y49/3jH8ZkMYvBg53bn30mXbfYNgAAAHDHKOABZLFggW1xtmvuuUfq3Nm4\nPGbwyCNSrVqO9qVL0n/+Y1weAAAAuB8KeABOrFZp2jTnvn79uCzazXh5SQMHOvfFxkqXLxuTBwAA\nAO6HRew8FAtSICcbNkgPPeRoWyy2S8dVrWpcJrM4dUqqVEk6f97R99VXUvv2xmWCa2MszhmvDfIL\ni9gBucdY7Ho4Ag/ASeaj748/TvGeW35+Uvfuzn2ZX08AAADgdnEE3kPxaRqyc+yYVLmydPGio+/b\nb6WoKOMymc3mzVLDhs59e/Y4nx8PXMNYnDNeG+QXjsADucdY7Ho4Ag/AbvZs5+K9Rg2pVSvj8phR\ngwa2S+5dL/Ml+QAAuDPeslgsd/RVsmRpo58EgNtAAQ9AknT1qjRzpnPfwIG2xdlwawYNcm7PnSv9\n+acxWQAA7uiybEfwb/8rPf1UwccGcMf41xyAJOm//5X273e0ixaVnn7asDim9uSTUunrDmycOiV9\n/rlxeQAAAOAeKOABSJJmzXJu/+1vUpkyxmQxu2LFpN69nfsyv74AAADArWIROw/FghS43tGjtsXr\nLl1y9CUkSOHhhkUyvV27pOBg577du6XatY3JA9fEWJwzXhvkF3dZxC4vngPvMdwMY7Hr4Qi8Ca1Z\ns0ZBQUGqWbOmpk6dmuX2JUuW6MEHH1S9evX02GOPKTU11YCUMJO5c52L91q1pObNjcvjDoKCpGbN\nnPv+8x9jsgAAAMA9cATehOrXr6/JkyeratWqat26tZKSklS2bFn77WfPnlWJEiUkSYmJiXr11Ve1\nZs0ap23waRqusVptR4V/+snR9/bb0vDhxmVyFx99JPXq5WiXLSv99pttfQFAYiy+EV4b5BeOwDu2\nwXsMN8NY7Ho4Am8yZ86ckSQ1b95cVatWVatWrZScnOx0n2vF+7X7FytWrEAzwlwSE52L98KFs56/\njdvTubPk6+toHz8uLVliXB4AAACYGwW8yaSmpiowMNDeDg4O1oYNG7Lc78svv1RAQICio6M1i9Wz\ncAOZ/zw6dpTuuceYLO6meHGpZ0/nvsyX6gMA3JqSJUvf0fXPAcDMKODdVMeOHZWWlqZp06apQ4cO\nRseBizpxQvrsM+e+/v2NyeKu/v535/bq1dK+fcZkAQB3YLt++Z1cAx0AzMvb6AC4NSEhIXrhhRfs\n7R07digqKirH+3fp0kUxMTE6f/68ihcv7nTbmDFj7N9HREQoIiIir+PCxc2fL1286GjXqCFFRhqX\nxx3VqSOFhkrXT5SZM0d6/XXjMsE4CQkJSkhIMDRDUlKS6tWrp7vvvlvLli3Ttm3b9Mwzz6h06dKG\n5gIAADfHInYmdG0RO39/f0VFRWVZxG7fvn2qXr26LBaLvvnmG7333nv65ptvnLbBghSwWqV69aRt\n2xx9//63NHKkcZnc1QcfSP36OdqVKkn/+59UqJBxmeAajBiL69Spo23btiktLU1PPPGEunfvrtTU\nVH3++ecFmuNm2E8hJ3e+CB2L2F3bBu8x3AxjsethCr0JTZo0SQMGDFDLli01aNAglS1bVrGxsYqN\njZUkff7556pTp47q16+vzz77TOPHjzc4MVzR5s3OxbuXF4vX5Zf/+z/purUldfCgtHKlcXng2by9\nvWWxWDRnzhwNGjRIL730ktLS0oyOBQAAcoEj8B6KT9MweLA0fbqj/dhj0rJlxuVxd9HRtqnz13Tu\nLC1ebFweuAYjxuKOHTvqgQce0OLFi5WcnKy7775b9erV0/bt2ws0x82wn0JOOAKfF4+3bYP3GG6G\nsdj1cAQe8EDnz0uffOLcFx1tTBZPkfn1XbLEdlk5oKB9/PHHql69uhYsWKBSpUrp4MGDTmurAAAA\n10UBD3igL7+UTp92tMuWlR5/3Lg8nuDhh6VatRztS5ekjz82Lg88V4kSJdS9e3elp6dLksqWLcvV\nSgAAMAkKeMADzZ7t3O7ZUypSxJgsnsJiyXoUfvZs22KCQEH64osvFBoaqj59+kiSfvvtN3Xs2NHg\nVAAAIDco4AEPk5Zmuxb59Zg+XzB69XJeeX77dmnTJuPywDNNnz5da9euVcmSJSVJtWrV0tGjRw1O\nBQAAcoMCHvAwH37o3G7cWHrgAUOieJx775XatnXuyzwbAshvFotFd911l7197NgxlSlTxsBEAAAg\ntyjgAQ9y9WrWAp6j7wUr8+v9ySe2RQWBgvJ///d/Gj58uM6dO6e5c+eqa9eu6tmzp9GxAABALlDA\nAx4kMVH63/8c7WLFpK5djcvjiR57TCpXztE+c8a2Ij1QUPr166d27dqpVatWSklJ0dixY9W3b9+b\nPi46Olrly5dXnTp17H3p6elq3769/P391aFDB2VkZNhvmzJlimrWrKng4GAlJSXZ+3ft2qUGDRqo\nevXqeuWVV/L2yQEA4OYo4AEPkvnoe6dOUqlShkTxWIULS927O/fNnWtMFngmi8WiiIgITZ06VdOm\nTdPDDz+cq8f16dNHcXFxTn0zZsyQv7+/fvrpJ1WuXFnvv/++JOno0aOaPn26Vq9erRkzZigmJsb+\nmGHDhmnEiBFKTU1VYmKiNm7cmHdPDgAAN+dtdAAABSM9XfrsM+e+p582JIrHe/pp6d13He2VK6WD\nB6VKlQyLBA9w/ZHzzCwWi7Zt23bDx4eFhSktLc2pLyUlRaNGjVLRokUVHR2tcePGSZKSk5MVFRUl\nf39/+fv7y2q1KiMjQ3fffbf27NmjLl26SJI6deqk5ORkNWrU6M6eHAAAHoICvoBZrVatWrVKmzdv\n1p49e2SxWFS7dm3Vr19fjz76qCwWi9ER4aY++0w6d87RrlxZatHCuDyerG5dqX59acsWW/vqVds1\n4UeMMDYX3NvXX3+d59tMTU1VYGCgJCkwMFApKSmSbAV8UFCQ/X61a9dWcnKyqlatqnLXnUMSHBys\n+fPna/DgwXmeDQAAd8QU+gL09ttvKyQkRIsXL1aRIkXUoUMHtWvXTt7e3lq8eLEaNWqkCRMmGB0T\nbirz9PnMlzRDwco8++HDD7kmPPJXQECA/atq1ao6ePCgDh06JH9/fwUEBNzWNq238Eeb3QfUt/J4\nAADAEfgCVbVqVa1bt05FihTJ9vYLFy5oCatZIR/s3y+tWePc17u3MVlg89RT0vDh0qVLtvbu3VJK\nitSkibG54P7i4uI0YMAA1alTRxaLRdu3b1dsbKxat259y9sKCQnRrl27VL9+fe3atUshISGSpCZN\nmig+Pt5+v927dyskJEQ+Pj46cuSIvX/nzp0KDQ3Ncftjxoyxfx8REaGIiIhbzggAyL2EhAQlJCQY\nHQM3YLHy8bdHslgsHPnwIGPGSK+95mg3bSp9/71hcfCXjh2lr75ytJ95Rpoxw7g8KHhGjMWNGzfW\nggULVKNGDUnS/v371bVrV/v09xtJS0tTu3bttH37dknS+PHj9euvv2r8+PEaPny4qlWrpuHDh+vI\nkSMKDw/XypUrtX//fg0dOlSbN2+WJLVt21a9evVSy5Yt1aFDB02aNCnbc+DZTyEnttkcd/K3caeP\nz4ttGP142zZ4j+FmGItdD1PoDXDy5EnFxsaqU6dOioyMVGRkpFpwMjLyydWrWVc5Z/E615D597Bg\ngfTnn4ZEgQfx9vaWj4+Pve3j46NCuTifplu3bmratKn27t2rKlWqaM6cORo4cKAOHDig2rVr6+DB\ng3rmmWckSeXLl9fAgQPVokULDRo0SJMnT7ZvZ8KECRo/frxCQkIUFhbGAnYAANwCjsAbYNCgQQoI\nCNDs2bP15ptvau7cuapXr55Gjx5dYBn4NM1zJCRIkZGOdrFi0u+/c/k4V3Dpkm3l+WPHHH0LF0p/\nLdAND2DEWNy/f38lJCSoTZs2slqtWrFihSIiIlSrVi1ZLBYNHTq0QPPkhP0UcsIR+Lx4vG0bvMdw\nM4zFrocj8AZYv369XnzxRRUuXFhPPPGE5s+fr6VLlxodC24q89F3rv3uOrgmPIxQsWJFPfXUU/Lz\n81Pp0qXVrVs3VaxYURkZGUpPTzc6HgAAuAEWsTNA0aJFJUmhoaH68MMPdd999/HJFvLF2bNZr/3e\nq5cxWZC93r2lSZMc7RUrbDMkKlQwLhPc2/ULwwEAAHNhCr0Bli1bpmbNmunYsWN64403dPDgQb38\n8suKvH6ecz5jOoxnmD9f6tHD0a5YUTpwgMvHuRKrVXrwQemvNcEkSe+8I7nILGbkMyPG4h9//FGx\nsbFav369Lly4YM+xbdu2As1xM+ynkBOm0OfF423b4D2Gm2Esdj0cgTeAr6+v/evDvy7OnZSUZGwo\nuKXM07F79KB4dzUWi+0o/PDhjr65cyngkX8GDBig/v3769lnn83xsqYAAMA1cQTeAPXr19eWLVtu\n2pef+DTN/R08KFWpYjvCe8327dIDDxiXCdk7fFiqXNl2xYBrtm61HZmHezNiLH744Yf13XffuXzx\nzn4KOeEIfF483rYN3mO4GcZi18MR+AK0fv16rVu3TseOHdPEiRPtb4Zjx46pTJkyBqeDu5k/37l4\nb9CA4t1V3Xuv1KqVFBfn6Js3zzaVHshrb7/9tnr06KGoqCiV+mtFS4vFok6dOhmcDAAA3AwFfAG6\nePGi0tPTdeXKFaeVfgMDAxUTE2NgMrgbqzXr9HkWr3NtvXo5F/Dz50tvvSV5M0ojjy1YsEA//PCD\nChcu7HQUngIeAADXxxR6A6SlpSkgIEDnz59X8eLFDcnAdBj3tmmT1KiRo+3tbZtSX66ccZlwY+fP\n21ae/+MPR9/y5VLbtsZlQv4zYiyuWbOmduzYwRR6mBZT6PPi8bZt8B7DzTAWux6uA2+A06dP67HH\nHlNwcLAkaevWrRo0aJDBqeBO5s1zbrdpQ/Hu6ooXl5580rkv8+8RyAuRkZFav3690TEAAMBt4Ai8\nAZ588kmNHj1aPXv2tC9cd//992vHjh0FloFP09zXpUu2y8UdP+7oW7xY6tzZuEzInTVrpPBwR7to\nUds14X19jcuE/GXEWBwcHKzdu3erUqVK8v3rj4vLyMFMOAKfF4+3bYP3GG6Gsdj1cHalAQ4dOqQH\nrltN7MKFC7rrrrsMTAR3EhfnXLz7+kqPP25cHuRes2ZSQICUlmZrX7ggffaZ1K+fkangbr755huj\nIwAAgNvEFHoDtGrVSkuWLJEkHThwQKNGjVL79u0NTgV3kXnadZcuUrFixmTBrfHyknr2dO5jGj3y\nWkBAgAICAuTn5ycvLy/7FwAAcH3ssQ0QExOjLVu26MqVK2rTpo18fX317LPPGh0LbuDUKWnpUuc+\nVp83l8wF/Nq10i+/GJMF7ikxMVGRkZGqVKmSGjRooICAALVltUQAAEyBc+A9FOezuKeZM6UBAxzt\nGjWkn36SLBbjMuHWNW0qXb/G2Nix0quvGpcH+ceIsbht27Z6//331a5dO23ZskULFy5UUlKSpk+f\nXqA5bob9FHLCOfB58XjbNniP4WYYi10P58Ab4OTJk1q2bJnWr1+vP//8U5LtzTF79myDk8HsMk+3\n7tmT4t2MevZ0LuA/+kgaNYrfJfLG77//Ln9/f5UoUUJnz57VU089pX/9619GxwIAALlAAW+Af/zj\nHypRooRatGihwoULS7r2aTJw+/btk77/3rkv83RsmEOXLtKQIbYrCki2WRTJyVJoqLG54B5Kly6t\n9PR0tW3bVp07d1alSpUUFBRkdCwAAJALTKE3QEFfMi47TIdxP6+9Jo0Z42g//LCUlGRYHNyhTp2k\nL790tAcOlFxshjPygBFjcUZGhooXL65ChQopISFBBw8eVIcOHVSiRIkCzXEz7KeQE6bQ58Xjbdvg\nPYabYSx2PSxiZ4CuXbvqgw8+sE+fB+6U1Zp1+jyL15lb5t/fp5/aLisH3KnrZ3wFBQUpICDA5Yp3\nAACQPY7AF6C7777b/o/T2bNn5e3traJFi0qy/UP1xx9/FFgWPk1zL99/b7uG+DVFi0qHD0t+fsZl\nwp25eFG6917p5ElH3xdfSB07GpcJec+IsbhBgwZKSkrS5cuXVbduXQUGBiowMFCTJk0q0Bw3w34K\nOeEIfF483rYN3mO4GcZi18MR+AKUkZGh9PR0paen6+rVq7p48aK9XZDFO9zPRx85t9u1o3g3uyJF\npK5dnfu4JjzywtWrV3XXXXdp3rx5io6OVlxcnNatW2d0LAAAkAsU8AZ45JFHctUH5Maff9qmV1+P\nxevcQ+Zp9MuXSydOGJMF7qNMmTJavXq15s6dqx49ekiSzp8/b3AqAACQGxTwBej8+fM6ceKEjh07\nppMnT9q/du/erfT0dKPjwaSWLZNOn3a0y5aV2rQxLg/yTuPGUq1ajvalS1k/rAFu1TvvvKOPPvpI\n/fr1U/Xq1bVv3z5FRkYaHQsAAOQC58AXoEmTJmny5Mk6dOiQKlasaO+vWrWq+vfvr6eeeqrAsnA+\ni/to315autTRfvZZacoU4/Igb73+uvTqq452aKjzNeJhbozFOeO1QU44Bz4vHi9JhSVdvu1H+/j4\n6Y8/Tt78jjA1xmLXQwFvgClTpigmJiZLf+bCPj/xZnQPx45JFStKl6/b/6amSo0aGZcJeSstTapW\nzblvzx7nI/MwL8binPHaICcU8Hnx+LzJwHvU/TEWux6m0BvgWvF++fJlfffddxoxYoSaNGmifv36\nGZwMZrNwoXPxHhgoNWxoXB7kvYAAKTzcuS/zooUAAADwDBTwBex///ufYmNj1bFjR4WGhuqrr75S\nZGSkEhIS9M033xgdDyaTuZDr1Uu67hLPcBOZFyX8+GPp6lVjssC8RowYIUlatGiRwUkAAMDtYgp9\nAWrUqJEqVqyoqKgoRUVFqXr16oZlYTqM+e3eLQUFOff973+Sv78xeZB/zpyRKlSwXXHgmsREqXlz\n4zIhbxTkWNyoUSOtX79ejRs31pYtWwrkZ94J9lPICVPo8+LxeZOB96j7Yyx2Pd5GB/Ak69atU5Ei\nRW54H6vV+teOCbixzEffIyMp3t1VqVJShw62Uyau+egjCnjcmq5du8rf31/Hjh2Tj4+P020Wi0V/\n/PGHQckAAEBuMYW+ALVo0UKjRo3Szp07deXKFXv/5cuXtWPHDr3yyitq1qyZgQlhFlevZj99Hu4r\n8+930SKJS3fjVgwfPlyHDx9W27ZtlZ6e7vR1p8X7rFmz1LRpUzVs2FDPPfecJCk9PV3t27eXv7+/\nOnTooIyMDPv9p0yZopo1ayo4OFhJSUl39LMBAPAkTKEvQFeuXNHSpUs1c+ZMbd++XYUKFZLVatWV\nK1dUt25d9e/fX+3bt5eXV/5/rsJ0GHP77jupRQtHu3hx6cgRKdNBNbiRy5elypVtv+drFiyQunY1\nLhPunJFjcUpKiiSpcePGd7SdkydPqmHDhvrxxx9VvHhxPf744xoyZIh++OEH/frrr5owYYKGDRum\ngIAADR8+XEePHlXz5s21cuVK/fLLL3r++ee1efPmLNtlP4WcMIU+Lx6fNxl4j7o/xmLXwxT6AlSo\nUCF17NhRHTt2lCT98ccfslgsWaYyAjczb55zu0MHind35+0tPfWU9O67jr6PPqKAx61LSEjQ3//+\nd9X661qEP/30k2bNmqXwzJc7yKXixYvLarXqzJkzkqRz587J19dXKSkpGjVqlIoWLaro6GiNGzdO\nkpScnKyoqCj5+/vL399fVqtV6enp7AsBAMgFptAXoEuXLmnZsmUaOXKkvvvuO9199938w4Jbdvas\n9Nlnzn29exuTBQUr8zT6FSuk3383JgvM6+2339ayZcu0fPlyLV++XMuWLdNbb71129srXry4ZsyY\noYCAAFWoUEEPP/ywmjRpotTUVAUGBkqSAgMD7Uf8k5OTFXTdCpy1a9e23wYAAG6MAr4Avfzyy5ox\nY4bKli2rsWPHatKkSUZHggl99ZV03amkuvdeqWVL4/Kg4NSrJ9Wt62hfuSJ98olxeWBOp06dUoUK\nFezt8uXL6/Tp07e9vWPHjmngwIHauXOn0tLStH79ei1btuyWplyyeCsAALnDFPoC9N///lcbNmxQ\n4cKF1bdvX7Vv315Dhw41OhZMZu5c53aPHlKhQsZkQcHr1UsaPtzRnjdPYhjBrejdu7fatGmjzp07\ny2q16ssvv9TTTz9929tLSUlRaGio7rvvPknSk08+qbVr1yokJES7du1S/fr1tWvXLoWEhEiSmjRp\novj4ePvjd+/ebb8tszFjxti/j4iIUERExG3nBADcXEJCghISEoyOgRtgEbsCVL9+fadr72ZuFyQW\npDCngwelKlWk639127dLDzxgXCYUrMOHbYvZXb3q6Nu6VXrwQeMy4fYZNRZv27ZNy5Ytk8Vi0eOP\nP646derc9rb++OMPNWjQQCkpKSpRooSefPJJDRkyRJs2bdKvv/6q8ePHa/jw4apWrZqGDx+uI0eO\nKDw8XCtXrtT+/fs1dOhQFrHDLWERu7x4fN5k4D3q/hiLXQ9H4AvQtm3bnM55P3/+vL3NNXiRG/Pn\nOxfv9etTvHuae++VWrWS4uIcffPmSe+8Y1wmmE/dunVV9/rzMe5AyZIlNWrUKHXs2FHnzp1TVFSU\nIiMj1bhxY/Xo0UO1a9dWgwYN7OfZly9fXgMHDlSLFi1UpEgRxcbG5kkOAAA8AUfgPRSfppmP1Wor\n1nfudPRNmiQNGWJcJhhj4UKpWzdHu3x56bffbCvVw1wYi3PGa4OccAQ+Lx6fNxl4j7o/xmLXwyJ2\ngEls2eJcvBcq5FzEwXO0by+VLOloHzkirVplXB4AAAAUDAp4wCQyL17Xpo1UrpwxWWCs4sWlJ590\n7sv89wEAAAD3QwEPmMDFi1kvF8a13z1b5t//V19Jd3AlMHiQxo0b279ftGiRgUkAAMCtooAHTOCb\nb6Tjxx1tX1/p8ceNywPjPfywVK2ao33hgvTpp8blgetr2rSp+vfvryNHjmjXrl26cuWKxo0bZ3Qs\nAABwCyjgARPIPD26WzepWDFjssA1eHllPQrPNHrcyPfff6/Bgwfr6tWrevvttxUREaH9+/frpZde\n0rfffmt0PAAAkAsU8ICLO3ZMWrbMue/ppw2JAhfTq5dze/16ac8eY7LA9fXp00ebNm2Sj4+PZs+e\nrbVr1yogIEBt2rTRpk2bjI4HAABygQLehNasWaOgoCDVrFlTU6dOzXL7/Pnz9eCDD+rBBx/UU089\npb179xqQEnnlk0+ky5cd7cBAKSTEuDxwHdWqSeHhzn3z5hmTBa5v5MiRunr1qo4cOaKmTZsqMjJS\nv//+u06ePKn+/fsbHQ8AAOQCBbwJDRkyRLGxsYqPj9e0adN0/PqToyVVr15da9as0Q8//KDWrVvr\nX//6l0FJkRcyT4t++mnJYjEkClxQ5tkY8+ZJV64YEgUurnbt2urXr5/8/f21bt06LV++XL6+vtq3\nb5/69etndDwAAJALFqvVajU6BHLvzJkzioiI0JYtWyRJMTExat26tR577LFs73/8+HE1aNBABw4c\ncOq3WCziV+/6fvhBqlfP0fbykg4ckCpVMi4TXEt6ulShgnTunKNv1SqpZUvjMiH3jBiL165dq7Cw\nMEnSE088oaVLlxboz88t9lPIicVikXQnfxt3+vi82IbRj8+bDLxH3R9jsevhCLzJpKamKjAw0N4O\nDg7Whg0bcrz/zJkz1a5du4KIhnyQ+ej7o49SvMOZj4/UubNz34cfGhIFJnGteJdkL96tVqvWrVtn\nVCQAAJBL3kYHQP6Jj4/Xxx9/zD9lJnXpkjR/vnMfi9chO717O5/7/sUX0h9/SCVLGpcJru/w4cOK\ni4tTXFyc9u7dq9DQUDVt2tToWAAA4AYo4E0mJCREL7zwgr29Y8cORUVFZbnftm3b9MwzzyguLk6+\nvr7ZbmvMmDH27yMiIhQREZHXcXEHvv1WOnrU0S5VSmrf3rg8cF0REZK/v+30Ckk6f15atEjitGbX\nk5CQoISEBEN+9uXLl/X9998rLi5O3333nXx9fdW6dWu99tprTjO7AACA6+IceBOqX7++Jk+eLH9/\nf0VFRSkpKUlly5a1337gwAE98sgj+vjjj9WkSZNst8H5LK6vY0fpq68c7f79pdhY4/LAtf3zn9L1\n61U2bSp9/71xeZA7BTkWN2zYUE2bNlWbNm0UGRmp4sWLF8jPvV3sp5ATzoHPi8fnTQbeo+6Psdj1\nUMCbUGJiop555hldunRJMTExiomJUexfld2AAQPUr18/ffnll/L395ckFS5cWCkpKU7b4M3o2o4e\ntZ3rfv3l49avl0JDjcsE17Zvn3Tffc59u3bZLjsI18VYnDNeG+SEAj4vHp83GXiPuj/GYtdDAe+h\neDO6tokTpWHDHO2gIGnHDi4fhxuLiJASEx3tESOkN980LA5ygbE4Z7w2yAkFfF48Pm8y8B51f4zF\nrodV6AEXY7VKs2c79/XpQ/GOm+vTx7k9d67zLA4AAACYGwU84GI2brQdbb+mUCGpZ0/j8sA8OneW\n7r7b0f79d2nFCuPyAAAAIG9RwAMuZs4c53bbtlKFCsZkgbmUKCF16eLcl3k2BwAAAMyLAh5wIefP\nS5984twXHW1MFphT5r+XpUulY8eMyQIAAIC8RQEPuJCvvpLOnHG077lHeuwx4/LAfB56SKpd29G+\nfFmaP9+4PAAAAMg7FPCAC8k83blnT6lwYWOywJwslqyL2c2ebVscEQAAAObGZeQ8FJeEcD2//CJV\nr5zaIQcAACAASURBVO7ct3279MADxuSBeR06JFWpIl296uhLSZFCQozLhOwxFueM18Z9lSxZWunp\np+5wK+a/BJs7PAfeo+6Psdj1cAQecBGZF68LCaF4x+2pWNG2+OH1/vMfY7IAQGa24t16B18A4Lko\n4AEXcPly1unzf/+7MVngHvr1c25/8omUkWFMFgAAAOQNCnjABaxYIR086GiXKCF17WpcHphf5ssP\nZmRIixcblwcAAAB3jgIecAGZpzd36SL5+BiTBe6hcOGsi9nNmmVMFgAAAOQNFrHzUCxI4Tp+/12q\nXFm6csXRt26d7XJgwJ34+WepZk3nvh9/lO6/35g8yIqxOGe8Nu7LYjF6ATfXWADOHZ4D71H3x1js\nejgCDxjsww+di/f775dCQw2LAzdy331SZKRz3wcfGJMFAAAAd44CHjCQ1Zp1+ny/frZreQN5IfNi\ndvPmSRcuGJMF7uvs2bPq3bu3atWqpeDgYCUnJys9PV3t27eXv7+/OnTooIzrVlGcMmWKatasqeDg\nYCUlJRmYHAAAc6GABwyUmCjt2+doFyki9ehhXB64n06dJD8/R/vECemrr4zLA/c0evRo+fv7a9u2\nbdq2bZsCAwM1Y8YM+fv766efflLlypX1/vvvS5KOHj2q6dOna/Xq1ZoxY4ZiYmIMTg8AgHlQwAMG\nmjnTud2xo1S2rDFZ4J6KFZN69nTuYzE75LX4+Hi9/PLL+v/27jw8iipf4/ibSCAgYTNsCkE2SYIs\nQQKCApFhU0AcN0RZRsAbQEHAgDroyOAgGhggImDUQURERL1eN5RNEweVBIZtjEFAQMFhkUUISJSQ\nvn/UkE7TJIQknVPV/f08Tz/P1OlU8VaNfU7/uqpOhYaGqly5cqpatarS09M1bNgwVahQQUOHDlVa\nWpokKS0tTb169VJERIS6dOkil8ulrKwsw3sAAIAzUMADhvz8s/TOO55t51/uDJSG8/+7WrNG2rHD\nTBb4n3379ik7O1sjR45U+/bt9dxzz+n06dNav369IiMjJUmRkZFKT0+XZBXwUVFRees3a9Ys7z0A\nAFA4CnjAkIULpTNn3MtNmkhduxqLAz/WooXUsaNn2/lXfwDFlZ2dre3bt+uOO+5QSkqKMjIytGzZ\nskuatTiIiT8AACiScqYDAIEoN1dKTvZs+5//kYL5SQ0+Eh9vPZ7wnFdflZ5+2rrEHiiJJk2aqFmz\nZurbt68kacCAAVq0aJFiY2OVmZmpmJgYZWZmKjY2VpLUvn17rV69Om/9bdu25b13vsmTJ+f977i4\nOMXFxflsPwAAUkpKilJSUkzHQCF4DnyA4pmOZq1eLXXv7l4uX17at0+qWdNcJvi306elq66Sjh1z\nt73xhnTvveYywX/64ltvvVWTJk1SbGysxowZo5iYGB05ckR79+5VYmKiEhIS1LBhQyUkJOjgwYPq\n0qWLVq5cqV27dmn8+PHauHGj1zb95djAG8+Bt8P6pZOBz6j/oy+2H873AQb8dzLmPHfcQfEO36pY\nURoyxLPt/P8OgeKaMWOGHn74YbVp00ahoaG65557NHLkSP34449q1qyZfvrpJ40YMUKSVLt2bY0c\nOVJdu3bVqFGjlJSUZDg9AADOwRn4AMWvaebs3y9FREg5Oe621FSpc2dzmRAYMjOl6GjPtowM7zaU\nHfrignFs/Bdn4O2wfulk4DPq/+iL7Ycz8EAZW7DAs3iPipI6dTKXB4EjKkrq0sWz7fy5GAAAAGBf\nFPBAGTp71vsZ3PHxEhMwo6zEx3suL1ok/fqrmSwAAAC4NBTwQBlavlz64Qf3cmioNHiwuTwIPLff\nLoWHu5d/+UV6801zeQAAAFB0FPBAGZo713O5f3+penUzWRCYKlSQ7r/fs+2FFyRubwMAALA/JrEL\nUExIUfa2b5eaNfNsW79eatvWTB4Ert27pcaNPYv2L7+UOnY0lylQ0RcXjGPjv5jEzg7rl04GPqP+\nj77YfjgDD5SR+fM9l9u3p3iHGQ0bSn36eLadf3UIAAAA7IcCHigDp05Jr77q2fbgg2ayAJL3f39v\nvy0dPGgmCwDAicopKCio2K8qVWqY3gHAkSjggTLwxhvS8ePu5Zo1pbvuMpcH6N5datrUvXzmjPcT\nEgAAKFiOrEvwi/fKyjpmIDPgfBTwgI+5XN6XJw8fbs1AD5gSHCyNGuXZ9uKLUk6OmTwAAAC4OAp4\nwMfWrpW2bnUvBwdLI0aYywOc86c/SZUquZd/+kl6/31jcQAAAHARFPCAj73wgufyrbdKERFmsgD5\nVasmDRzo2TZnjpksAAAAuDgeIxegeCRE2fjxR6lRI+nsWXfbqlVSt27mMgH5bd0qtWrl2bZpk9S6\ntZk8gYa+uGAcG//FY+TssL4dMvAZdwL6YvvhDDzgQy+84Fm8R0dLf/iDuTzA+Vq2lOLiPNtmzzYS\nBQAAABdBAQ/4yMmT3rN6jx0rBQWZyQMUZOxYz+U335QOHDCTBQAAAAWjgAd8ZNEi6Zdf3MtXXOF9\nvzFgB336SI0bu5d//92akR4AAAD2QgEP+EBurvdlyCNGSBUrmskDFOayy6QxYzzb5s2TsrPN5AEA\nAMCFUcADPvDJJ9KOHe7lkBDvZ24DdnL//VKVKu7ln3+2LqUHAACAfVDAAz5w/tn3/v2lK680kwUo\nirAwafhwz7bZsyUmngUAALAPHiMXoHgkhO/8+9/WzN75bdggXXedmTxAUe3eLTVpYt0Ccs7q1Tw5\nwZfoiwvGsfFfPEbODuvbIQOfcSegL7YfzsADpWz6dM/lG2+keIczNGwo3XabZ9v5/z0DAADAHAp4\noBT9+KP3fcPjx5vJAhTHI494Lq9YIW3ZYiYLAAAAPFHAA6Vo9mwpJ8e9fM01Ur9+5vIAl6pjR+mG\nGzzbOAsPAABgDxTwQCk5dkx66SXPtgkTpGA+ZXCYiRM9l5culX74wUwWAPZSpUoNBQUFlegFACg+\nSguglMyfL5065V6uU0caONBcHqC4+vSRIiPdy2fPSrNmmcsDwD6yso7JmrisJC8AQHFRwAOlIDtb\nSkrybHv4YSk01EweoCSCg62rR/J7+WXpyBEzeQAAAGChgAdKwaJF0qFD7uXKlaURI8zlAUrqvvuk\nunXdy7/+al1lAgAAAHMo4IESysnxnuQrPl6qVs1MHqA0VKggjR3r2ZaU5HmbCAAAAMoWBTxQQsuW\nSTt3upfLlfMufAAnio+XwsLcy4cPW5fSAwAAwAwKeKAEcnOlqVM92wYPlurVM5MHKE1Vq0oPPujZ\nlphozfkAAACAskcBD5TAe+9J337rXg4Olh5/3FweoLSNHy9VquRe3r9fevVVc3lgX2fPnlVMTIz6\n9u0rScrKylK/fv0UERGh2267TSdPnsz72+eff15NmzZVdHS01q5dayoyAACOQwEPFJPLJf3tb55t\nAwZITZqYyQP4Qs2a3hMyPvus9PvvZvLAvpKSkhQdHZ33nO/58+crIiJCO3bsUL169fTiiy9Kkg4d\nOqR58+ZpzZo1mj9/vsaMGWMyNgAAjkIBDxTTxx9Lmze7l4OCpD//2VwewFcSEqxJ7c758Udp8WJz\neWA/+/bt0/LlyzV8+HC5XNZzvtPT0zVs2DBVqFBBQ4cOVVpamiQpLS1NvXr1UkREhLp06SKXy6Ws\nrCyT8QEAcAwKeKAYXC7p6ac92+64Q4qONpMH8KW6daXhwz3bnnnGegIDIEnjxo3T9OnTFRzs/lqx\nfv16RUZGSpIiIyOVnp4uySrgo6Ki8v6uWbNmee8BAIDCUcADxbBqlXT+980nnjCTBSgLEydKISHu\n5e+/l95801we2MdHH32kWrVqKSYmJu/suySP/30x5y67BwAAhStnOgDgNC6X9OSTnm19+0qtWpnJ\nA5SFiAhpyBDplVfcbVOmSPfc41nYI/B89dVX+uCDD7R8+XJlZ2frxIkTGjRokGJjY5WZmamYmBhl\nZmYqNjZWktS+fXutXr06b/1t27blvXe+yZMn5/3vuLg4xcXF+XJXACDgpaSkKCUlxXQMFCLIdSk/\nkcNvBAUFXdLZEbh9+KF0662ebenpUgHfPwG/sWuX1KyZ56Xzr7wiDRtmLpPT+VtfnJqaqhkzZujD\nDz9UYmKi9u7dq8TERCUkJKhhw4ZKSEjQwYMH1aVLF61cuVK7du3S+PHjtXHjRq9t+dux8RfW1RIl\n/f+lpNswvb4dMvjHPvAZtz/6YvvhEnoH+uKLLxQVFaWmTZtqzpw5Xu9v27ZNHTp0UGhoqP7+978b\nSOi/cnO9z77360fxjsDQqJE0dKhn25Qp0m+/mckDezp3OfzIkSP1448/qlmzZvrpp5804r+PM6hd\nu7ZGjhyprl27atSoUUpKSjIZFwAAR+EMvAPFxMQoKSlJDRo0UM+ePbV27VqFh4fnvf/zzz/rhx9+\n0P/93/+pevXqeuSRR7y2wa9pxbNsmdS/v3s5KEjaskVq0cJcJqAs7d1rPSox/2Pk5syRHnrIXCYn\noy8uGMfGnjgDb5cM/rEPfMbtj77YfjgD7zDHjx+XJHXu3FkNGjRQjx498h7Nc07NmjXVtm1bhXBj\naqnKyZH+8hfPtv79Kd4RWOrXl0aO9GybOlX69VczeQAAAAIJBbzD5H8sjyRFR0dr3bp1BhMFjiVL\npO++cy8HB0v55lcCAsZjj0mVKrmXDxyQ5s0zlwcAACBQUMADRfDbb97F+pAh1oReQKCpU0caPdqz\n7dlnpf9eIAQAAAAf4TFyDhMbG6sJEybkLWdkZKhXr17F2haP5ym6+fOl3bvdyyEh3pfTA4FkwgTr\nc3HihLV85Ij03HPSM8+YzWV3PJ4HAACUBJPYOdC5SewiIiLUq1cvr0nszpk8ebLCwsKYxK6EfvlF\natxYOnrU3fbgg9ILL5jLBNjB0097/pAVGipt327dJ4+ioS8uGMfGnpjEzi4Z/GMf+IzbH32x/VDA\nO1BqaqpGjBihM2fOaMyYMRozZoySk5MlSfHx8Tpw4IBiY2N14sQJBQcHKywsTN9++60qV66ctw0+\njEU3caI0fbp7OSxM+v57qWZNc5kAOzh1SmraVNq/3902eLD02mvmMjkNfXHBODb2RAFvlwz+sQ98\nxu2Pvth+KOADFB/GovnhB+s+9/zPuZ46Vfrzn81lAuzklVekBx5wLwcFSRs3Sq1bm8vkJPTFBePY\n2BMFvF0y+Mc+8Bm3P/pi+6GAD1B8GItm4EDpjTfcy1ddZV0inH8GbiCQnT0rtWolZWS427p1k1au\ntIp5FI6+uGAcG3uigLdLBv/YBz7j9kdfbD/MQg8U4F//8izeJelvf6N4B/K77DIpMdGzbfVqacUK\nM3kAAAD8GWfgAxS/phXO5ZI6d5bWrnW3tWxpXRp82WXmcgF25HJZZ90/+8zdFhUlbdliPbEBBaMv\nLhjHxp44A2+XDP6xD3zG7Y++2H44Aw9cwJIlnsW7ZE1kR/EOeAsK8pzoUZIyM6U5c8zkAQAA8Fec\ngQ9Q/JpWsKwsa+K6/DNr9+kjffihuUyAEwwbJi1Y4F4OC5O++06qW9dcJrujLy4Yx8aeOANvlwz+\nsQ98xu2Pvth+OAMPnOfppz2L9/LlpVmzzOUBnGLaNKlqVfdyVpb02GPm8gAA7KycgoKCSvSqUqWG\n6Z0AyhwFPJDPd99Js2d7tiUkSE2amMkDOEmtWtJf/+rZtmiR9NVXZvIAAOwsR9YZ/OK/srKOlX1s\nwDAuoQ9QXA7jzeWSbr7Zc/bsevWkbdukyy83lwtwkjNnpJgYz8fKtWkjpaczh8SF0BcXjGNjT1xC\nb5cM7MO5bdBP+BZ9sf1wBh74r2XLvB99NWMGxTtwKUJCvCev27hRmjfPTB4AAAB/whn4AMWvaZ6O\nHrUee3XokLstLs56LFZQkLFYgGP172/9KHZO5crSt99K9euby2RH9MUF49jYE2fg7ZKBfTi3DfoJ\n36Ivth/OwAOSJk70LN5DQqS5cynegeKaOdOahf6ckyelUaOsW1UAAABQPBTwCHgpKdI//uHZ9uc/\nS9HRRuIAfuGqq6Rnn/Vs++gj6e23zeQBAADwB1xCH6C4HMZy+rTUqpW0Y4e7LSpK2rRJqlDBXC7A\nH+TmSp06ec5CX7u2lJkpVa9uLped0BcXjGNjT1xCb5cM7MO5bdBP+BZ9sf1wBh4BbcoUz+Jdkl56\nieIdKA3BwdLLL1u3pJxz8KD1aEYAAABcOgp4BKyvv5YSEz3bRoyQbrzRTB7AH0VHS48/7tm2YIF1\nOT0AAAAuDZfQB6hAvxzm1CmpdWtp505325VXWrNkV61qLhfgj377zXo2fGamu612bembb6TwcHO5\n7CDQ++LCcGx8o0qVGsrKOlbCrXDptvkM7MO5bdBP+BZ9sf1wBh4BaeJEz+Jdss4KUrwDpa9CBem1\n16TLLnO3HTxoXfHCdwKgbFnFu6sELwCASRTwCDgrVkjz5nm2jRwp9expJg8QCGJjpSee8Gx7913p\njTfM5AEAAHAiLqEPUIF6OczRo1KLFtJ//uNua9JE2rxZuvxyc7mAQHDmjNSxo7Rhg7utalVp61Yp\nIsJcLpMCtS8uCo6Nb5R8Fnku3bZHBvbh3DboJ3yLvth+OAOPgOFySUOGeBbvwcHSokUU70BZCAmR\nXn9dCg11tx0/Lg0YYBX3AAAAKBwFPALGzJneM18/+qjUoYOZPEAgioyUnnvOs+2rr7wvrwcAAIA3\nCngEhK+/lh57zLOtfXtp8mQjcYCA9tBD0i23eLYlJkoff2wmD0pm7969uummm9S8eXPFxcVpyZIl\nkqSsrCz169dPERERuu2223Ty5Mm8dZ5//nk1bdpU0dHRWrt2ranoAAA4DvfAB6hAup/l6FHrkXF7\n97rbqlWz7ntv0MBcLiCQHT5sPVpu3z53W40a1ueyfn1zucqaP/TFBw4c0IEDB9S6dWsdPnxY7dq1\n05YtWzR//nzt3btXM2bM0COPPKKrr75aCQkJOnTokDp37qyVK1dq9+7dGjdunDZu3Oi1XX84NnbE\nPfClsb4dMrAP57ZBP+Fb9MX2wxl4+LWzZ6XBgz2Ld8l6pBXFO2BOeLi0dKnno+WOHpXuvtt6bjyc\no06dOmrdurUkKTw8XM2bN9f69euVnp6uYcOGqUKFCho6dKjS0tIkSWlpaerVq5ciIiLUpUsXuVwu\nZWVlmdwFAAAcgwIefu3JJ70vyx03Trr1VjN5ALjdcIM0dapn27p10qhRPB/eqXbu3KmMjAy1a9dO\n69evV2RkpCQpMjJS6enpkqwCPioqKm+dZs2a5b0HAAAKRwEPv/Xmm9K0aZ5t7dpJzz5rJg8AbxMm\nSDff7Nm2YIE0Z46ZPCi+rKws9e/fX7NmzVLlypUv6ZJL67JuAABwMeVMBwB84V//koYO9WyrU0d6\n912pfHkzmQB4Cw6WFi+2JpXcudPdPn68FB0tdetmLhuK7syZM7rjjjs0aNAg9evXT5IUGxurzMxM\nxcTEKDMzU7GxsZKk9u3ba/Xq1Xnrbtu2Le+9803ON9NoXFyc4uLifLYPAAApJSVFKSkppmOgEExi\nF6D8eUKK/futM+35J8cqX15KTZWuv95cLgAFy8y0ivj8t0JXry6lpUlNm5rL5Wv+0Be7XC4NGTJE\n4eHhmjlzZl57YmKi9u7dq8TERCUkJKhhw4ZKSEjQwYMH1aVLF61cuVK7du3S+PHjmcSuDDGJXWms\nb4cM7MO5bdBP+BZ9sf1QwAcof/0wnjghdelizWSd38KF0pAhRiIBKKKPPrLmp8jfNTVqZD0nvnZt\nc7l8yR/64rVr16pz585q2bJl3qXw06ZN0w033KCBAwdq06ZNatOmjRYvXqzKlStLkpKSkjRnzhyV\nL19eycnJ6tSpk9d2/eHY2BEFfGmsb4cM7MO5bdBP+BZ9sf1QwAcof/ww/vab1Lu3tGaNZ/u4cVK+\nk0IAbOzZZ6XHH/dsa9NGSkmRwsKMRPIpf+yLSwvHxjco4EtjfTtkYB/ObYN+wrfoi+2HAj5A+duH\nMTdXuu8+67FU+d1yi/T++1I5ZnsAHMHlkv70J2nRIs/27t2tM/T+NoeFv/XFpYlj4xsU8KWxvh0y\nsA/ntkE/4Vv0xfbDLPRwPJfLmvDq/OK9fXtp2TKKd8BJgoKkV16Revb0bF+1yirsz541EgsAAMAW\nKODhaC6X9OijUlKSZ/s111hn6y6/3EwuAMUXEiK9847Utq1n+5tvSsOHW1fcAAAABCIKeDiWy2Xd\nKzt9umd7nTrSihVSeLiZXABKrnJl6eOPpSZNPNsXLpQeeIAiHgAABCYKeDiSyyVNmiQ995xne/Xq\n0qefSldfbSQWgFJUq5b1Y9xVV3m2L1ggxcdTxAMAgMBDAQ/Hyc2VJk6Upk3zbK9WTVq9WmrVykwu\nAKWvUSPp88+lK6/0bH/lFWnYMCknx0wuAAAAE5iFPkA5dUbJM2ese2DPn6H6XPF+3XVmcgHwre3b\npbg4af9+z/a+fa0JLCtVMhKrxJzaF5cFjo1vMAt9aaxvhwzsw7lt0E/4Fn2x/XAGHo7x66/SH//o\nXbxXrSqtXEnxDviza66xzsTXqePZ/uGHUo8e0rFjZnIBAACUJQp4OMLBg1K3btakVvnVqiV99pkU\nG2smF4Cy06yZ9MUX3nNcfPml1KmTtGePiVQAAABlhwIetrdxo/U4qa+/9mxv2ND64t6mjZlcAMpe\n06bW575FC8/2jAzrh7zUVDO5AAAmlFNQUFCxX1Wq1DC9A8Alo4CHrS1bJt14o7Rvn2d7q1bWl/jz\nHzEFwP9deaV1Jr5TJ8/2w4etK3VefNFMLgBAWcuRdR998V5ZWdx/BeehgIct/f67NGGC1L+/dPq0\n53vdukkpKVLdukaiAbCBatWsR8zdeadne06ONHKkNUP9qVNmsgEAAPgKBTxsZ9cu66z7jBne7z38\nsPTJJ9aXdwCBrWJF6yqdKVO831uwwLqk/t//LvtcgK9UqVKjRJcLWzPQAwCcjMfIBSi7PhJi6VIp\nPl46ccKzPSTEuix26FAzuQDY23vvSYMGeZ91Dw2VZs6URoyQ7Fi72LUvtgOOjbeSPwJOssujv/zh\n8WXsg+n1SycD/Uzh6IvthwI+QNntw3jggPTgg9L//q/3e/XqSW+9JXXsWPa5ADjH1q3SXXdZz4w/\nX7du0ksvWZNf2ond+mI74dh4o4C3y/p2yMA+lFYG+pnC0RfbD5fQwyiXy3que3T0hYv3fv2kLVso\n3gFcXMuW0r/+JQ0Z4v3e6tXWzPVz5ki5uWWfDQAAoDRQwMOYb76Rune3vmwfO28S0PLlpRdesC6L\nrcETPgAUUeXK0sKF0uuvW/87v1OnpDFjpA4dpLQ0I/EAAABKhAIeZe7oUemhh6xHwa1Z4/1+bKx1\nFu3BB+15zyoA+xs40Lp6p2tX7/fS06Xrr7d+PNy/v+yzAQAAFBcFPMrMyZPStGnWs9vnzvW+jDU0\nVJo+XfrqK+naa81kBOA/GjWyLp1/6SWpShXv9xctkpo2lSZNsn5YBAAAsDsmsQtQZTkhxa+/SvPn\nS889J/3884X/pls3ad4868s0AJS2ffusx1BeaK4NySrwx4+Xxo6VqlYtu1xMDlQwjo03JrGzy/p2\nyMA+lFYG+pnC0RfbDwV8gCqLD+PBg9aZ9nnzpCNHLvw3jRpZj3i69VYulwfge2vWWEX6N99c+P0q\nVaQHHrCK/fr1fZ+HL0YF49h4o4C3y/p2yMA+lFYG+pnC0RfbDwV8gPLVh9Hlsu5ff/FFafFi6bff\nLvx3VatKjz0mjRsnVahQ6jEAoEA5OVJysjRlinTo0IX/5rLLpLvvlkaOlG680Xc/MPLFqGAcG28U\n8HZZ3w4Z2IfSykA/Uzj6YvuhgA9Qpf1h/OUXackS6eWXpc2bC/67ypWts1/jx0vVq5faPw8Al+zU\nKetpF4mJhd8DHxkpDR8uDR4s1axZuhn4YlQwjo03Cni7rG+HDOxDaWWgnykcfbH9UMAHqNL4MJ48\nKX34obR0qfTpp9Lvvxf8t1WrWmeyHnlECg8v0T8LAKXqxAnp+eetV0HzdEjWWfk//EG65x7pj3+U\nqlUr+b/NF6OCcWy8UcDbZX07ZGAfSmcbIZJySpQgLKy6Tpzw35lQ6YvthwI+QBX3w/jTT9LHH1uF\n++rVUnZ24X9/9dXWGfehQ6WwsOJlBYCykJ1t3fozc6aUmVn434aESHFxUt++Up8+UsOGxfs3+WJU\nMI6NNwp4u6xvhwzsg50y+HNfRV9sPxTwAaqoH8YTJ6QvvpA++8ya/Gnr1otvOzhY6tXLmgiqTx+p\nXLlSCAwAZSQ3V1q1yrol6P33rXvmLyYy0jo7/4c/SF26SDVqFO3f4otRwTg23ijg7bK+HTKwD3bK\n4M99FX2x/VDAB6gLfRhzc6WdO6W0NOnrr63X1q3ez2svSJMm0sCB1tn2spi9GQB87eBB6bXXrDPz\n//530dYJCpKio6UOHazX9ddLzZpZl+B7/y1fjArij8emSpUayso6VsKt+EfBQ+Foen07ZPCHfbC2\n4W99VX7+2Bc7HQV8gAoKClJqqkvffms9TmnzZmnLFuu+9ksREWHN1DxggBQT47uZmgHAtIwM6a23\nrHk/duy4tHUrVpRatLD6yRYtrAI/OlqqU4cvRgXxxy+NJT+D7j8FD4Wj6fXtkMEf9sHahr/1Vfn5\nY1/sdBTwDvPFF18oPj5eOTk5GjNmjEaPHu31N48//rjeeustVa9eXW+88YYiIyO9/qa4XyKCgqR2\n7dz3fbZsSdEOILC4XNJ330kffWTNB/Lll9LZs8XdWuB+MbrYeOaPXxop4O2SgX2wRwZ/2AdrG/7W\nV+Xnj32x0wWbDoBL8/DDDys5OVmrV6/W3LlzdfjwYY/309PT9c9//lMbNmxQQkKCEhISSvxvRkZK\nDz4ovfuuNUPzunXSpElSq1ZlV7ynpKSUzT9UipyW2Wl5JedlJq/vlUXmoCCrX0xIkFJTpSNHdo1L\nBAAAC/FJREFUrEJ+3Dh+1LwUFxvP7KhKlRoKCgoq9st+UkwHuEQppgMUQ4rpAJcoxXQABypXon6h\nSpUiTpoC/BcFvIMcP35cktS5c2c1aNBAPXr0UFpamsffpKWl6c4771SNGjU0YMAAZV5sKuXzVK9u\nTcI0aZJ1dunwYWs25hdekG6/XbriilLbnUtCIeF7TssrOS8zeX3PROaqVa0rkmbOtG5FOnpUWrFC\nmjzZmtCzVq0yj2R7RRnP7Mi6f91VwOupQt4797KbFNMBLlGK6QDFkGI6wCVKMR3AgXJ08c9+wX1F\nyefFQKBhfnAHWb9+vcfl8NHR0Vq3bp169+6d15aenq5BgwblLdesWVPff/+9Gjdu7LW9Vq2sezCj\noqyzRjEx1uRztjxJAAAOUa2a1KOH9ZKsS+7375c2bbIK/MxM9+vXX81mNaUo41l+Z8+e1clLnaTl\nPBUrVlT58uVLtA0AAEyjgPczLpfL6z6Vgi7b27y5LBIBQGALCpKuvNJ65a9Pc3MvPDM9vD3yyGNK\nSppRom0EBZWXy/V7KSUCgNJSrkS32ISFVdeJE0dLMQ/sjknsHOT48eOKi4vTpk2bJEmjR49Wr169\nPM5YzJkzRzk5ORo3bpwkqXHjxvr++++9ttWkSZMLtgMAyk7jxo21c+dO0zHKXFHGM8YpADAvUMcp\nO+MMvINUrVpVkjVzb0REhFatWqWnnnrK42/at2+v8ePHa/DgwVqxYoWioqIuuC0+iAAAU4oynjFO\nAQDgjQLeYWbPnq34+HidOXNGY8aMUXh4uJKTkyVJ8fHxateunW688Ua1bdtWNWrU0OLFiw0nBgDA\n24XGMwAAUDguoQcAAAAAwAF4jFyA+/vf/67g4GAdPWr/yS+efPJJtWrVSq1bt9agQYN05MgR05EK\nNWHCBEVFRalNmzYaO3asTp8+bTrSRb399ttq3ry5LrvsMm3cuNF0nAJ98cUXioqKUtOmTTVnzhzT\ncS5q6NChql27tlq0aGE6SpHs3btXN910k5o3b664uDgtWbLEdKRCZWdnq3379mrdurWuv/56zZo1\ny3SkIjl79qxiYmLUt29f01FszyljldPGKcl5YxXjlG8wTvmWU8cpibHKjijgA9jevXu1atUqNWjQ\nwHSUIpk4caK2bNmizZs3q2nTpkpKSjIdqVA9evRQRkaGNmzYoFOnTtl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"prompt_number": 15, "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": { "internals": { "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "PyMC3\n", "=====\n", "\n", "* Probabilistic Programming framework written in Python.\n", "* Allows for construction of probabilistic models using intuitive syntax.\n", "* Features advanced MCMC samplers.\n", "* Fast: Just-in-time compiled by Theano.\n", "* **Extensible**: easily incorporates custom MCMC algorithms and unusual probability distributions." ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Linear Models\n", "\n", "* Assumes a linear relationship between two variables.\n", "* E.g. stock price between Gold and Gold Miners." ] }, { "cell_type": "code", "collapsed": false, "input": [ "size = 200\n", "true_intercept = 1\n", "true_slope = 2\n", "\n", "x = np.linspace(0, 1, size)\n", "# y = a + b*x\n", "true_regression_line = true_intercept + true_slope * x\n", "# add noise\n", "y = true_regression_line + np.random.normal(scale=.5, size=size)\n", "\n", "data = dict(x=x, y=y)" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(7, 7))\n", "ax = fig.add_subplot(111, xlabel='Value of gold', ylabel='Value of gold miners', title='Synthetic data and underlying model')\n", "ppl.scatter(ax, x, y, label='sampled data')\n", "ppl.plot(ax, x, true_regression_line, label='true regression line', linewidth=4.)\n", "ax.legend(loc=2);\n", "fig.savefig('synth_data.png')" ], "language": "python", "metadata": { "internals": {}, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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NWeWjW97XarXi+PHjcLlc0Ov1AOLLmC0vYG0ymVJSKRmNxsQC1J2dnTCZTNDr9Th16hQA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\n9xrj6RiaDk9Ub2FLVWa/YHNNPfFkktvRABbFxCNbWjEMA1/Aj6Ioc4r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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('synth_data.png')" ], "language": "python", "metadata": { "internals": { "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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7cAVkq2iQHSEk7w2OOjCjiiGo4TAtRPFw1JnrKsEfDOCLUScejbkQjoR37Dxf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\nctUitqqycljcUwiYkjHrwwmUF60kF0VRYNzm+fCXGvfim+lRhOVkcm+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"prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "Linear Regression\n", "=================\n", "\n", "$$ y_i = \\alpha + \\beta \\ast x_i + \\epsilon $$\n", "\n", "with $$ \\epsilon \\sim \\mathcal{N}(0, \\sigma^2) $$\n", "\n", "Probabilistic Reformulation\n", "---------------------------\n", "\n", "$$ y_i \\sim \\mathcal{N}(\\alpha + \\beta \\ast x_i, \\sigma^2) $$\n", "\n", "### Priors\n", "\n", "$$ \\alpha \\sim \\mathcal{N}(0, 20^2) $$\n", "$$ \\beta \\sim \\mathcal{N}(0, 20^2) $$\n", "$$ \\sigma \\sim \\mathcal{U}(0, 20) $$\n" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## Constructing model in PyMC3" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pymc as pm\n", "\n", "with pm.Model() as model: # model specifications in PyMC3 are wrapped in a with-statement\n", " # Define priors\n", " alpha = pm.Normal('alpha', mu=0, sd=20)\n", " beta = pm.Normal('beta', mu=0, sd=20)\n", " sigma = pm.Uniform('sigma', lower=0, upper=20)\n", " \n", " # Define linear regression\n", " y_est = alpha + beta * x\n", " \n", " # Define likelihood\n", " likelihood = pm.Normal('y', mu=y_est, sd=sigma, observed=y)\n", " \n", " # Inference!\n", " start = pm.find_MAP() # Find starting value by optimization\n", " step = pm.NUTS(state=start) # Instantiate MCMC sampling algorithm\n", " trace = pm.sample(2000, step, start=start, progressbar=False) # draw 2000 posterior samples using NUTS sampling" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/Users/alexcoventry/Library/Enthought/Canopy_64bit/User/lib/python2.7/site-packages/theano/scan_module/scan_perform_ext.py:85: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility\n", " from scan_perform.scan_perform import *\n" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Covenience function glm()" ] }, { "cell_type": "code", "collapsed": false, "input": [ "with pm.Model() as model:\n", " # specify glm and pass in data. The resulting linear model, its likelihood and \n", " # and all its parameters are automatically added to our model.\n", " pm.glm.glm('y ~ x', data)\n", " step = pm.NUTS() # Instantiate MCMC sampling algorithm\n", " trace = pm.sample(2000, step, progressbar=False) # draw 2000 posterior samples using NUTS sampling" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Posterior" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = pm.traceplot(trace, lines={'alpha': 1, 'beta': 2, 'sigma': .5});" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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nU36nvpbVkwvq61cYUEeOaE8yGF0vYpuyN1OEeE5Paxu209ORPcrmzKGczTlz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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, xlabel='Value of gold', ylabel='Value of gold miners', title='Posterior predictive regression lines')\n", "ppl.scatter(ax, x, y, label='data')\n", "from pymc import glm\n", "glm.plot_posterior_predictive(trace, samples=100, \n", " label='posterior predictive regression lines')\n", "ppl.plot(ax, x, true_regression_line, label='true regression line', linewidth=5.)\n", "ax.legend(loc=0);\n", "fig.savefig('ppc1.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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oLi5Ge3s7CgsLx1w/yuVyITc3Fy+99BJcLheMRiP27Nkz4rVD6xyrnM1mw4EDB3DmzBlc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\n3G73xx7jWG8nXdkIiiLTERxnTTp9TtPXmUyGdwd6iOZSuHQmlpRUiA/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YjIaoZO5u7GtK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Pn/vEj1HNtoPC6KPGm3U3ruuTz6gx/wy1/+kgcffJC/+Zu/4e6776a3t5ftf92K0WgkMzOTUCjE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\nRGlpKUJCQhAcHAy5XA6lUon29nbMnj0bw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7TVXDqNnWnpmZKUpLS0Vubq6w2Wwh9THZ5zrR9tl+dne2G9020X8T07WdzVjGWqj/Nhc6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\nulWPP/54IEscEQjQFn3eQMDPysnJIdRcIyshhhvhpaycP4mb4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"prompt_number": 23, "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Robust Regression" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Add outliers\n", "x_out = np.append(x, [.1, .15, .2, .25, .25])\n", "y_out = np.append(y, [8, 6, 9, 7, 9])\n", "\n", "data_out = dict(x=x_out, y=y_out)\n", "fig = plt.figure(figsize=(7, 7))\n", "ax = fig.add_subplot(111, xlabel='Value of gold', ylabel='Value of gold miners', title='Posterior predictive regression lines')\n", "ppl.scatter(ax, x_out, y_out, label='data')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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7h+bu2gZC8SjDYT8mReVgQ/uayyTZLFb21zYzk4pitFYwQoyZwYe8u/c7q15G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\nDrgfO+tu25xPZy2k9vb2TV/P+i9jkL6D0dPTkxlFBINB/vCHPxT1aCm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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "with pm.Model() as model:\n", " glm.glm('y ~ x', data_out)\n", " trace = pm.sample(2000, pm.NUTS(), progressbar=False)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, xlabel='Value of gold', ylabel='Value of gold miners', title='Posterior predictive regression lines')\n", "ppl.scatter(ax, x_out, y_out, label='data')\n", "glm.plot_posterior_predictive(trace, samples=100, \n", " label='posterior predictive regression lines')\n", "ppl.plot(ax, x, true_regression_line, \n", " label='true regression line', linewidth=5.)\n", "\n", "plt.legend(loc=0);\n", "fig.savefig('ppc2.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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iUiGGNCIiIiIVYkgjIiIiUiGGNCIiIiIVYkgjIiIiUiGGNCIiIiIVYkgjIiIi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URKmoxoELEajIgmIyHRgSY3bSRsNhuiKJLJNAem7Xa7PpMWjUbvCAeXJAmn06m3UFKpFKqq4vF4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\nPsm25LNlSXNfGAsLfJItWxPr+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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('ppc2.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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wvV6vpX0s9L7Ot3y5793c7WaWzfd/4lnbLudcZluv35vrnWGaFhtxsCynT5/W6dOnE10G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/FOG73MDT+8cKXZbN6XkGEymZibmxOLrTo6Os8m+gRa51vDveJZlmWRPNFPV+jzeaFtMBiEx/dp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\nUqlUz5ZhsbC7u8tvf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DU1pba2ttQypeFISCr2yuPLUl3BJm1ZYsh93PTMjOzOR78K7Hab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\nxIkT9LyQJBMrpquryzx9+rTZ1NRknj592gyFQgs+t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"prompt_number": 27, "text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111)\n", "normal_dist = pm.Normal.dist(mu=0, sd=1)\n", "t_dist = pm.T.dist(mu=0, lam=1, nu=1)\n", "x_eval = np.linspace(-8, 8, 300)\n", "ppl.plot(ax, x_eval, pm.theano.tensor.exp(normal_dist.logp(x_eval)).eval(), label='Normal', linewidth=2.)\n", "ppl.plot(ax, x_eval, pm.theano.tensor.exp(t_dist.logp(x_eval)).eval(), label='Student T', linewidth=2.)\n", "plt.xlabel('x')\n", "plt.ylabel('Probability density')\n", "plt.legend();\n", "fig.savefig('t-dist.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EwSPY59B35ulSuHxcLZF33LboS0pK8Prrr8NsNuP11193fm61Wl0GzRFR4F2/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\nAPdMvAerDavx0NSHMDByoDIXppAQGegCiDzlcDj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"text": [ "" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "source": [ "# Fit strongly biased by outliers\n", "\n", "* Normal distribution has very light tails.\n", "* -> sensitive to outliers.\n", "* Instead, use Student T distribution with heavier tails." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image('t-dist.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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vXboUAFBeXg4ASElJwbp165ztjEYj8vLyBvVnIYpUDseNgODtEngpeoCSYpOQ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\nbRtgNgNJScCjjwa4YBpyRo++MRdIr/f/PukT0rF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"prompt_number": 29, "text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "with pm.Model() as model_robust:\n", " family = pm.glm.families.T()\n", " pm.glm.glm('y ~ x', data_out, family=family)\n", " \n", " trace_robust = pm.sample(2000, pm.NUTS(), progressbar=False)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, xlabel='Value of gold', ylabel='Value of gold miners', title='Posterior predictive regression lines')\n", "ppl.scatter(ax, x_out, y_out)\n", "glm.plot_posterior_predictive(trace_robust, samples=100,\n", " label='posterior predictive regression lines')\n", "ppl.plot(ax, x, true_regression_line, \n", " label='true regression line', linewidth=5.)\n", "plt.legend();\n", "fig.savefig('ppc3.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VX1+frm+uBdGntjvfvgt5H7G2ENIA4GlgGJn5WaDr169Lkvr7+2WappqbmzU4OKjGxsY5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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('ppc3.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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BAABgA3Olu4DH7U//9E/V09MjaWY+NAAAALASGR+gDxw4oMrKSlVVVUmSLMvS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LFYTJlMRsXFxcpkMtq6dauuXr2qwcFB5eXlaXBwUE8++aRqamrkLwrp0Ye3q7xkeT46NzV39Na0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\nRmXn+B09e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"prompt_number": 32, "text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "Real-world example: Algorithmic Trading\n", "=======================================\n", "\n", "* Pairtrading is a famous technique that plays two stocks against each other.\n", "* For this to work, stocks must be correlated (cointegrated).\n", "* One common example is the price of gold (GLD) and the price of gold mining operations (GDX)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import zipline\n", "import pytz\n", "from datetime import datetime\n", "fig = plt.figure(figsize=(8, 4))\n", "\n", "prices = zipline.data.load_from_yahoo(stocks=['GLD', 'GDX'], \n", " end=datetime(2013, 8, 1, 0, 0, 0, 0, pytz.utc)).dropna()[:1000]\n", "prices.plot();" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "GLD\n", "GDX\n" ] }, { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ZKb9189bYPnY7v11YVoji8mJ8PfxrAICz2FnFkACATTMbAEC/DrqZOdyojYmh+U81wXTq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\nPGXjmoqL6ykurierr3rP5rp48SL69OmD6dOnA6h+bKVEIlF4rKu3tzc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"text": [ "" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(9, 6))\n", "ax = fig.add_subplot(111, xlabel='Price GDX in \\$', ylabel='Price GLD in \\$')\n", "colors = np.linspace(0.1, 1, len(prices))\n", "mymap = plt.get_cmap(\"winter\")\n", "sc = ax.scatter(prices.GDX, prices.GLD, c=colors, cmap=mymap, lw=0)\n", "cb = plt.colorbar(sc)\n", "cb.ax.set_yticklabels([str(p.date()) for p in prices[::len(prices)//10].index]);\n", "fig.savefig('price_corr.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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F/J7L+DPtWujWxLmt8SUOezsA2NSxg8fbtw86Z2HEVJZEzdaPr4xO5VTj53uT0TEb7To8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\n5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txIQkJCu8YbSU9PJyEhgeBgb6u2e7BwW3M2Z6lRFMVD0HRkvvacg+YQgkfgRX8/H7SS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\nCL79Fs49Vx374GMrNzx5Arve0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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('price_corr.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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PTk4ODz74IPfee++xftOjLqi6mO12OyUlJQGXORwOiouLSU1NpaqqipycnF7/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\nvtt6/0EXjzyk5Sf3K7hcEBQED94vEkwEg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"prompt_number": 35, "text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Naive model assumes constant linear regression." ] }, { "cell_type": "code", "collapsed": false, "input": [ "with pm.Model() as model_reg:\n", " family = pm.glm.families.Normal()\n", " pm.glm.glm('GLD ~ GDX', prices, family=family)\n", " trace_reg = pm.sample(2000, pm.NUTS(), progressbar=False)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 36 }, { "cell_type": "heading", "level": 2, "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "Hm... kinda unsatisfying..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(9, 6))\n", "ax = fig.add_subplot(111, xlabel='Price GDX in \\$', ylabel='Price GLD in \\$', \n", " title='Posterior predictive regression lines')\n", "sc = ax.scatter(prices.GDX, prices.GLD, c=colors, cmap=mymap, lw=0)\n", "glm.plot_posterior_predictive(trace_reg, samples=100, \n", " label='posterior predictive regression lines',\n", " lm=lambda x, sample: sample['Intercept'] + sample['GDX'] * x,\n", " eval=np.linspace(prices.GDX.min(), prices.GDX.max(), 100))\n", "cb = plt.colorbar(sc)\n", "cb.ax.set_yticklabels([str(p.date()) for p in prices[::len(prices)//10].index]);\n", "ax.legend(loc=0);\n", "fig.savefig('ppc4.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MzIy6brxytbe3c/fdd4+ZZ0SkmyUisrFxLFlZWRQWFuJ0OvF4PJSVlcX9bEbWYyJlb21t\nZeXKlTHLPtE8xvq5PvXUU3i93nF/3vF+dsPvJya5COdY115OXRKOHHicEGSXliRdA1RVHfU+Pz+f\n7OxsPB6Pdtzn82E0GrVzSktLOXLkiNZ9snXr1qh8CgoKWLVqFV6vV3s5HI5xyzLePS+nHrECpPHK\nZbFYOHLkyJh5RhiNxqhyut1uGhsbxyzb6tWrefPNN2loaKCyspL8/PxJfzbTVfbx8oj1c21sbKS1\ntTXm8eGm8rO7XJdTl4Qjx/AkBBnwSNI1wO12U1dXh8/nw263U1RURGZmJk899RS1tbU4nU58Ph/l\n5eWsXr0aCI+PsNls+P3+Mb+t22w2HA6Hdr3dbo87bmO8e15uPUYqKysbs1yrV6+mtraWlpYWfD7f\nmOW12+3aeaqqYrPZxt0rbdWqVdTW1uJyuVi2bNllfTaTLfu6detithrFyqO6uhqI/XNVFGXM48NN\n5Wd3uWJ9jvHqIkmxyIBHkq5yiqJQWlpKU1MTZrMZt9tNfX09EG4xqK+v12a66HQ6bYDx2rVrMZvN\nmEwmbYDwk08+CYQf7nq9HqPRGHX90aNHowYbD3/4RP493j1HXjPReoy8Lisra8xyLV++nA0bNlBS\nUkJ+fj7PP/98zHLm5eVp5xUUFLBy5Uq+9rWvRdVfUZSo87OzsykrKwOI+9mMrNtky3733XdTWVlJ\nVlbWhPKIfFZj/VzXrFkz5s/7cn92sX6WsT7r8a6N9TnGq0vCkevwJARFTLajNUEoiiI3apQSSqL+\nN9nQ0MCWLVvYsmXLXBdlSq6WekxFa2srPp9PG0/U0NBAbW0tb7755hyXLLGN9bs5G7+ziqKAb93U\nMjE+l5B/W640soVHkiTpCtHe3k5JSYm2Ds3mzZu1FiUpgckWnoQgAx5JusoN73a5kl0t9ZiKwsJC\nnnvuOfLy8rQF+iLdbJIkjU92aUnSNJH/TUpSYprzLi3v+qllYq6Wf1umgVyHR5IkSZJmkuyWSggy\n4JEkSZKkmSQbZxKCHMMjSZIkSdJVT7bwSNI0MZlM1/ygWklKRCaTaW4LILu0EoIMeCRpmni93rku\ngiRJiUh2aSUEGfBIkiRdQz6ijX2cZTnXcTPZc12ca4Ns4UkIMuCRJEm6RmyjlU/zH/QRJBUDr/FF\nHiX2bvHSNJItPAlhRgctW63WUcdaWlqoq6tj48aNlJWV0draqqWpqsrGjRtxOp1s3LhRW01UkiRJ\nmrofs4c+ggD0EuDH7JnjEklTYbPZMJvNmM1mbUPV4SL7jxUUFMTcRX68dJ/Pp+U/1vWxxMqzoaEB\nnU4X87Vv377LruPIMtbV1Y2b14y08DidTjweD06nM+q43+9n7969lJeXa+dZrVaOHDkChHf43bt3\nLwDFxcWUl5df0/vmSJIkTadMUqLee/Dip5csUueoRNeIGejSKioqQqfT0dDQQHt7u/ZcXb8+vMih\n3W5n27ZtNDQ04HK5sNlsuFwubR+2eOlFRUUUFBSwbds2mpubR6XHMlaeVqsVh8MRda7L5WL9+vUs\nW7bssutos9nw+XxaGe12OxaLhZKSkpj5zehKyzqdjlAopL13u92UlZVpAY7P58NsNuPz+Thy5AjV\n1dVRm+CZzeYxB4LKVW0lSZIm5wR+SniZwwz9Xb2XG9jJV+ewVHNn1lZaPv2DqWWy5FtR5VRVlYKC\nAlRVJTc3F4DGxkbKy8u1Z6ZOp8PhcPDoo48C4QYFs9nMpk2b4qY7HA5WrlwZ9fyurq5GVdVxGyHi\n3XM4q9XKs88+O+bu9hOto9vt1oKmyspKvF7vmGWc1XV4CgsLo6K8vXv3YjKZyMzMRFVVjEZj1Plm\nszluc5ckSZI0MUvJ4u95NOrYLk7io3eOSnSNmObNQ30+H0VFRVogAJCVlYXP5wPCjQuAFngAUa0s\n8dJVVaWwsDDqnsXFxaNaaYaLl+fIc9vb28cMdiZSx8j/Z2VlaelCiHGXBpn1hQeHF762tlbrc5NT\neiVJkmbeLeSgY+ihcD0Zo7q6pMRWWFhIc3Nz1LHNmzdTVFQEELMBIS8vT3vOxks3m82oqhqVrqqq\nFmTEEi/P4crLy6mpqRmvinHraDQaKS0tpaqqCgCPx0N9fT2rV68eM885m6VVV1fHF77wBS3Cy87O\nHvVhyiBIkiRpet3JIv6dJ/jf7CSTFH7Ep6ICIGkGzGCvmc/no7y8nK1bt+JyuYDws9NsNsc8dyLp\npaWl+Hw+Nm7cyJo1a3C73axbt27c1pN4eUZEBjAPbwm6nDoCbNmyBbPZjE4Xbrux2WzjthrNScDj\ndDrJz8+PqrDFYokZ4Iw3oOmFF17Q/r1ixQpWrFgxncWUJEm6Kj3NHTzNHeOe0xnqB2C+Lnk2ijQr\ntm/fzvbt22f/xpMdtLzzSPgVh8PhwGazkZOTg8vl0p6XY41/jbTAxEs3Go00NTVhs9moqqrCZDJh\nt9upra0FwkFLWVkZAPn5+Rw+fDhunhHr1q3j2WefjToWK794dYx0edntdux2O21tbdjtdqqrq7VB\nzSPNesDjdrsxm83aSO+GhgZWrVo1auS3qqoxp7UPNzzgkSRJkqbH33Xs4oWOnSgorM96kDUZxXNd\npGkx8ovxd7/73dm58WRbeO4tCL8ifvjmqFMiQUJVVRXr1q2LSrNYLKNaVlRV1Vpg4qUDlJSU4PV6\n6ejoIDMzk9raWi191apVWpfXZPJUVZWWlhYtuImIlV+8OjocDhRF4cUXX9SObd68GZvNNmbAMyNj\neFpaWqipqUFRFKqrq7Xp6aqqUlxcrE010+l0PPfcc9p1kfV5Ghsbo8b3SJIkSdNj/8AFXu9txR/q\ni5l+aMDLdzp2IoAQgir/Do4HOma3kFJcZWVl1NTUjAoEAG3A8fClYZqamrRGhHjpkfVt/H4/mZmZ\nWrrNZtPOz83NJTc3V0uPlyeEAxir1apdM9zI/OLVsb29fdQxIcS444xmdFr6TJLT0iVJuhoERYh/\npoVTdPAUt3GnsmjG7vV/O918w78dAeTrs9i14Ivk6NOiznH1n6P4/M+ijh1Y9BVuS7r6tqGYtWnp\nx344tUxu+mZUOSMtH/X19VGzlCA8/gbCU7T37t1LfX09LpeLsrKyUVO4x0svKCjAYrGwfv16HA4H\nGzZswOVyRU08GilenlarleLi4pgBzEjx6uj3+8nLy6OsrIyKigq8Xi92u53i4mJeeeWVmHnKrSUk\nSZJmwR84x9+zAwX4Ng/zCRYC8CyvUUd4Su8P2Mke8TU+oSyckTJ879JurXfFE/Tz7z0H+cb86OnH\ny5IW8KmUXH7bdxSAz6fmc6th9GBUaRKmOaaK7FAwvMUFwsFVMBheSXvTpk1UVlZSVFREdnY2DQ0N\nUWNi46VHWnSKi4uxWq04nc5xg52J5Ol0OqN6daZSx6ysLJxOJ1VVVRQXF2M0GrHb7eMGU7KFR5Ik\naYb56OVj/JgLdAOwkHl8xH8ji1SMYj1+hrqXaihljfLAjJTjxrN1nAhe0t5vNpZSMe/OUecFRIg3\ne4+hVxSsKTehG2d2zpVs1lp4Wv/P1DLJ+4Z83k2DWV+HR5Ik6VpzmDYt2AE4TxcewmMQLJiizl1C\nxoyVY7OxlHlKEgDWlJv40/TbYp5nUHR8Oi2Px1Jzr9pgR7r2yIBHkiRphhVgJpuhsTILSCd/MND5\nOU9xHzcwjyRQ4BnlV/w/ZmaF+cdT8zh/XSW/NT/B6tSPcSQw9gBPaRqJKb6kaSG7tCRJkmbBfs7y\nPX6HDoVv8zB3MDQ4uQkPK/l37X0yejqoJmUGhln+Z88RVrX9miCCZPT8NucJ/ih16bTf50owa11a\nnh9NLZP8/y6fd9NADlqWJEmaBXdxHQ2UxUzrYiDqfT9B+gnOSMDzT537CQ42G/QTpK7rD9dswDNr\nZKySEGSXliRJ0hx7jHyKWaK9/yvuIWOK+1vt77/AGt/vqOloplcEtOM5uuhp6Nkj3kszYJo3D5Uu\nj2zhkSRJmmNpJPE7/oxttJJJCg9x05Ty+2ignQfOv0KXCLccvdN3ml8t+BwANVkPcSDQxnsDF7k3\neTHfybx3yuWXpCuBDHgkSZISQBpJ/DEfm5a83uo7oQU7AK/1tiKEQFEUbjBksH/RlxkQQZIU/bTc\nT4pDdmklBBnwSJIkzaFeEaCZUyxkHh9XcqYlz48Zoqe6FxiMo3a6lsHOLJLdUglBjuGRJEmaI5dE\nH/fzzzzMv3IrP+EfxZ5R57QFe/j0xV+y6PRmytp+TVdoIEZO0f4odSk/Mq7gNoOZR1Ju4D9zPjsT\nxZcmSk5LTwhyWrokSdIceUm4Kee/tPfzSeaS8hzfFzv4qdjHYuazsMPM1k5VO6cqo5j1WQ/NRXGv\nOrM2Lf3DH08tk1v+Uj7vpoHs0pIkSZol/yB2som9LGAetXyGkR0dSej4L3GIvxVvAeChHV3aaehM\n1845HriEdIWRsUpCkAGPJEnSNPKJXs7TRR7GqHEy20Qrf82bABzGSwkv46NXS09Gz0/4tLblRERI\nH9T+rRAOir7jf5c/n3c7NxkyZ7Yy0vSQY3gSggx4JEmSpkmT8PCE2EIXAyznOrbxFYxKKgBH8Ead\ne46uqPev8gUeUwo4KC6QThLdkcUIe8N/pj+TmsfRgQ5e7j4IQG3nH3jvui+zQJ+OlOBkC09CkIOW\nJUmSpsk3xZvaqsktnOVF9mppJeSRQfKY1/YSZJ84y1fFf7GIeZj754EvBXypJKPnf8wv5P1Am3b+\n2VA3d5/7Ge/0nZq5CknSVUS28EiSJE2TAUIj3g91R+UrZt4VX+Vn/IEFpPO/xU5OKYPjcQTs4gRf\n5zecInxMSYan+5ejTzfwTPoneCDlesy6VLyhoW6wY8FLfO7iq5xdYsegyO+vCUt2aSUE+RsiSZJ0\nGQ6KC7wQfJsXQ3sJiHCg8z1lBUmDf1bzMPJxkcP64Dv8PnQcgNuVhfwvpYRvKvdxPZlR047P0KkF\nOwwedgaPck/ydTyaeiPJip5Xcz5Lnj563E5bqBd/qG/G6ytNgdxaIiHIFh5JkqRJ8ggv9wZ/Sgd9\nIOAd5QT/rn+CMuUT3M0STtDB++ICXwhuBUCHwi+x8Vndx7U8vqosZ484DYQHIj+jLOOkuIST1vAJ\nITjf28dfdb9FUdIi7k9ZwgMp17Nr0dPcdfbfOBvqBuCPUpaSrZf7YSU0OYYnIciAR5IkaZJ+Kzzh\nYGdQvTjIy+LzrA018RqH+RjZXBQ9WnoIwc9DB6ICns+FbmF373nadF2sTfkk9ytLuZvr+YF4l+90\nvgvdSRAKtxapQR/3D24uulCfzq5FT/P/uj4gQ5dM5bw7Z6nWknRlkwGPJEnSJOVhjHqfSxYfC/wj\nHl14SvmHtJFNdKvLDcpQV1RHqI/7LvyC1qAfgPPJA7ye/QQv9u5nQOh5pM/C28HwYGQdCof6fTBs\nMtZNhkz+Z5bc9POKIbulEoJcaVmSJOkyfC/0O34S2otf9KEAPQxEjYo0CIUV5OESZ3hEuYl/03+e\n+Up4lpaj9xjWtsZhuQmK0xeyN3AWgOuUdAb6FdpCvYPdIQqOBU9RknrjbFXvmjBrKy3ve3FqmSx7\nVj7vpoFs4ZEkSYqjXwR5UezlIt18UbmdW5UFfFv3MC8H/zC4no5g5LLJyehpMnwpZn5L9RnoUAgN\nDu5IV5K0YAfgrOhGJ/RRLQPrO5rJUJK5J+W6aa+fNMNkC09CkLO0JEmS4vhiaCvfEG/w92IH94X+\nhVYR7ro6ScfQSSOeaaEQrO/eTV3vfm0WV8THk8z8s3ElN+kz+ZjBxBbTZ8hWhrrAdCg8mrx06AIB\njt7j3H/uFX7T08pbvSdQA/5pr6c0Q+TmoQlBdmlJkiTFIIRAURRCQpAU+nutNQbgLhaRSQpJQsc2\ncQwARRFDX+QFKAM6RFcKAKuTb+EXmX8y7v3eHTjFf+t00CkGeD79Xr6YcitFZ3/G+wMXB88IZ56h\nJHFJDGBAx79nP8bqeR8fO1NpXLPWpeXeNLVMCivl824ayC4tSZKkYQ6HvHyut4FDXOQu3ULeSH6a\nXIyow/a42s85INwSc0/gBrKVND4WzOZH+t2gExiEjkDP0D5aW/o/JLsjle/OfwD3wHne7D/K7YYc\n/iztdgD2yrIxAAAgAElEQVT6RID7k67HbfrTqLLcmZTD+wNtUccuifBKzgFCfMe/SwY8VwLZpZUQ\nZMAjSZI0zNf73uCg/jzoBS2c4abg/+UbyidxKirn6eIoQ11JIUWwZ+As9Bt4PXQSQqmgE6STTIeu\nXztPCPinvn04A8f5KNCutRX9IXCBNwaOciB4kU8aFvPrrCfJ0Q1Nx/qe8X5+33ea48GhFZmHd50l\nD9ucVEpgsnEmIcgxPJIkXZP+deA9PtXzC8p7fkP7sDVzzohO0A89oXqUAOt4h9OhTl5RVvEA0WNr\nCAz+GVVE+Jt8UEdHMEB12ifJVJKjHnaHgl7EsAM/7XufA8Fwl9XuwBn+rntnVBkthiw8S57h1JKv\nkRL5cz14eSp6/o/pkal/ENLMm6GVlm02G2azGbPZTHV19ah0u92O2WymoKCAxsbGSaX7fD4t/7Gu\nj2WsPFVVxWq1otPpKCgooK6ubkr5AVRVVaHT6aJezz777Jh5zWgLj9VqpampacJpqqrS2NhIYWEh\nbrebiooKsrKyZrKIkiRdg14PeHim7zXt/W+6PRxL/zoGRcdXk+7im+LsqEHIJ7nEvYGf8rLuc3zQ\n3047PdBn0BYH1KPTds66P2kJhqCejr5A+K/ssLE9wzNOJrqFpi3Uw0gGRccSw3wq59/Jjy7tAyBH\nSWXHojJuSTZP4VOQrmRFRUXodDoaGhpob2+nvLwcgPXr1wPhQGHbtm00NDTgcrmw2Wy4XC6WL18+\nofSioiIKCgrYtm0bzc3No9JjGS9Pq9VKQUEBbreb5uZm7HY7FouFkpKSy8oPoLW1Fbvdjs1m066x\nWCxj5jcjg5adTicej4fKykpCodCE04qLi9m7N7y7sN/vp7y8nC1btsQuuBy0LEnSZfq7/t/znf4d\nUcf+IbkEk5KCO3SOHwf3QNKIqeYCEAo3hDI52dkXfTwElSnLyNAlczbUxWHhZVf/GQjqwnnoQsPy\nUkhCx2dS8vl8cj5/3vlbgghS0PNGlo1Hhs/OGuHVbg9ng918Ji2PJYb50/NhXMNmbdDyntqpZXJP\nRVQ5VVWloKAAVVXJzc0FoLGxkfLycrxeLwA6nQ6Hw8Gjjz4KQFlZGWazmU2bNsVNdzgcrFy5MuoZ\nXV1djaqqYz6Tx8uzoqKC4uJifD4fmZmZMcszmfwi1xQXF/P888/z5JNPTuhjnJEurZKSEioqKiaV\n5na7MZuHvq1kZWXhcDhmoniSJF3jHtDdMOKIYE3QwTOBX4eDHQUIMdQdNWx6cGjk81EAAT2PJC+l\nPP1Ofj5wkF2BM+G/robQYECkI5xpOOpJUwxszfocX0m7nWbjl/lpxuO0mP503GAH4LPp+VRk3CGD\nnSvNNHdp+Xw+ioqKtGAHws9Mn88HhJ+ngBYoQLhXJfJMjZeuqiqFhYVR9ywuLh73mTxenoqiYLPZ\ntGAHwGQyhYPBy8gvQlVV8vLyxsxjpIQZw6OqKkZj9HLtZrOZffv2zVGJJEm6mrwXPM8DXf/GrZ11\nHAp5sRlu0dL0OghGIhqFwb+MCoRgfiCZdJEEKGSTRlJ3SlQglBo08Gfpt7E67eP8tq+VAMNargf/\nnuuEgklJ0Q6Xpw7tf7U8aRF/lno7txqyZ6LaUiKY5nV4CgsLaW5ujjq2efNmioqKgNjP07y8PK31\nJ1662WxGVdWodFVVtYAqlvHyXL58Oa+88op23O12U19fj9Vqvaz8Inw+H+vWrRt3HNNwCTNLa3gl\nJEmSppNf9PJI13/gG9zw8+u9b/KL1M/yge4CZ0Qnl+iLDng0ChadiV1Jz3AMPwtEOjn9L4ZPUsJd\nXr36IP868D43dM1nW9/x6JlUAr6ceivfzryPFEXPr/s8XK/P4HMpBbza7cHe5sQv+nk89Sb+JWcl\nWboUJGkyfD4f5eXlbN26FZfLBYSfp8N7TIafO5H00tJSfD4fGzduZM2aNbjdbtatWzdui0y8PCNM\nJhN+vx+r1TpuV1S8/CIBWXZ2Ntu2bcPj8YwaxzRSwgQ82dnZoz6YeEHQCy+8oP17xYoVrFixYgZK\nJklSonMHz/LXfU66xQDVyffxRNLHOR7y82jXz2kVPhQiLThDf7CrA29xVAxOMRfDgp0Q4RaewVNX\n624jTUniFnJAgULDQtyB8+HAZlgb+d937xp6M/jN/C7dIv6f6XHtQfEX6eHBll2hAZ6++DrdIgDA\n1h4P+8/8jPcWf4l0XdI0fzpSxPbt29m+ffvs33iy6/C4PwT3obinORwObDYbOTk5uFwuli1bBoRb\naGI9PyMtJvHSjUYjTU1N2Gw2qqqqMJlM2O12amvDY5EaGhooKysDID8/n8OHD8fNM6KlpQWPx4Pd\nbqeyspJNmzZdVn4WiyVqTNCyZcvwer3Y7fbED3gsFkvMykV+gLEMD3gkSbq6HQv6+Z+9v6dL9PPN\n1Lt5wBAeh9MnAjze8wrnRTcAtt5f8uOQlVcCB/EIL0S+lYrI/yjMIwmf6B2WuzIs6Bn692IyeN7w\nYFQ5fmN+kr+99A5/CFxgd+hMjJKG73e7Poft5rKY34r9oT4t2InwBPzs6T/LitTxx/FIl2/kF+Pv\nfve7s3PjyY6LXn5L+BXxz/816pRIkFBVVcW6deui0iLBwHCqqmotJvHSITze1uv10tHRQWZmJrW1\ntVr6qlWrtBaWieTZ2tqKEAKLxUJubi65ubls2LABm83Gpk2bJp1fxPAxQYDWpTeWhBnDM3KqW2TO\nviRJ17ZzoS66Qv2Udr7Cy/3v0zjwEY9d2sKxYLh15qLo0YIdCLfk/MXAb3lbfxSSQ6AfHFOjEN7y\nQUBj+hOsNtw2dBMBaSKJZBGZJh4eLJqvmEaVZ5F+HnXGlTybtozhw3WInnRK9fx7MOpSY9ZpsX4e\nJSmjA5vr9PPifBrSFWkG1uEpKyujpqZmVLADaAOOnU6ndqypqUl7psZLj6zB4/f7taAi0uITEQlc\nIunj5RmZ9TVcW1sbJpPpsvKDcOvWyBhBVdWoPEeakRaelpYWmpqaUBSF6upqrFarNtd+vLS6ujo2\nbtyIxWKhubl5wgsTSZJ09ekTAT7b2cibgaNkkMwlhlYu7mKA/cHz3KTP4o2QhyxDEv5QH4QGoxrD\nsCnlehGeWhWCNJL5fsrD1AcPcjJ0KTzFPHQJgjp6BOFp5CkCkkIQUqhJKiEkBHU979Ea9PO5lALu\nS14CwEJ9evh+g4GOWUljfcaDtATO8UdJN2JLHXvLB0VR+M2iz/NN79u83HUQHQrrTA9wS5JcV0eK\nr6GhAQgP4h05c6q0tBSAiooKqqqqqK+vx+Vy0djYqM18ipduNBppaWnBZrOxfv16HA4H27ZtY+PG\njeOWa6w88/LysNvtVFdXU1ZWhqqqVFdXY7fbLys/CM8aczqdlJWVaVPmKyoqeP7558fMT24eKklS\nQnqxr4W/6H5Te69D0TbwTMfAhvRH2BI6yA7l+NBFQcJNOCN3XBhgqGsLhmaIB4EBvbZ4IMHwSsmR\nrq9jC8v5h+69/KjbrV32g3kr+B/ziwH4pn87P+nah1GXwr8bH2dlai7twV5c/efJM2SSnxQ9fuHo\nQAcdoo+zgW7s3m10hPp5LquYb2WN3xQvzYxZW4fn9/88tUwe/GpUOTdu3EhVVVXMewWDQe19ZWUl\nW7ZsITs7mw0bNowaJDxeemtrKzabDbfbjdVqZcOGDeMOMYmXp9PppKqqCrfbjcViwWazxWydmmh+\nkTLa7XYcDgf5+fnY7Xa+9a1vjZmXDHgkSUpIP+jdzZqetwbfRTfr32nI4T3Ohxf000NkkESaMDAg\nQgT0Q/1LWaQQDAo6GRjKavjKx30KBA2koidXmPhwILxJ6OdTCthq+iw3XtzMyVCnlp9e6Di6oJwb\n9BkAhIRANxhMHQt0cP/ZVzgd7CIJHT/LeZxV824G4Id+N3/dvgMBGFAIDBvYsWvxaj6Zct1UPzJp\nkmYt4NnxL1PL5KE/l8+7aZAwg5YlSZKGu0GXgaIbHMIgxGDXUTiwOCU6B8fkRKZVhZN6lABPKrew\nW5zkFJ0sJJ1tSV9ieXDYN+zhsZMCf5JawOPczCOGpeTqs/jP3iOkoOfzqQUoisL1uvlRAU+QEEeD\nfi3g0Q1rOdp06T1OB7sAGCDE3/l3s2rezfSLIGvaf6+FOIERo1hPBTpBzki/eslYJSHIgEeSpITT\nJfr5H31OhDI4lTzSKjP44OgI9YVbdoQSHkczbLPPreJDvEl/TYfSxxIySFL03KBk0ioGZ3yMWCfn\nL5OKsRqG9t/5YtqttAZ9fK9rJ5lKCi9lPsa93p/RJcItRDcoGdxhWMDvek9xNNBBaepSbeXjlBG7\nl498H8uN+gxWpI5c+Vm6qkx2Wro0I2TAI0lSQnk1cJine35Fd6QLajBCeSbpTn7W/wF9IsiACO9M\nvsiQTmpIzzF9u3Z9GgYylRRMSpp2bJXuFjYGd43YxBPW6u+NCnZ29p/mKx2/QQ36tElXpck3oeaU\n88NuFwER4i/nLaf20vusbf89ADm6NHYvXo0lKYv/nrGcV3tUWvovYNKl8EPTwwAkK3o2mB5kzWCX\n1qMpN1A272a6RYCn530csz72bC5JkqaPHMMjSVJCWdz5fzkruoYOCMhVjGxLfxqLP3oTxoWkh6ek\nJw+EN/sEGNDxvaRH+NvUB7TzvKKHpV3/SLd+aKZXSsjAR6nPcqM+kzf6Wnln4BT/2N1Cu+hjpP+Y\n/xm+OG9oXZSlJ/6Zk8Ghbq7vGe/jb433ABAQIU4ELrFQn868EYsItg748Yf6uSM5G72SMKuCXLNm\nbQzP9p9OLZMVz8jn3TSQv3GSJCWUnhEL8lUkLeNX855idWArSloAkgOAAAEWXVb4pIAe+gZfIR3f\n6fs9QTE0cNmspHFX7/XQYwjPxAoo9HXpeKjtF/y0+30+5Wvke127YgY7CPjyhTf4bc9Ruge7tUwj\ntoAY/t6g6MhLyhoV7ADkJWWxLGWBDHauNTOwDo80efK3TpKkhHKPskT7t0Ux8v8ZbueTPf9KszgT\nHtNjEKQZdDxquJGfzC8lQ2cY7Koamn4V/lf0g+Kv5hWi9BmgMwW6UiCk43joEi/3HohdEEF4PHSf\nnlBSkMf9jeSc+ye29h7mpZxSFg8uEvi5NAvlGbdP98cgXU2mefNQ6fLIMTySJCWMl/vep6n/OKAD\nBSwGM1Xdb9ObNBB13lfT7iSTZIoC/wJpkBTQMzC0/AjfTC6Omj0F8IW0W1ikS+fT7VvpJXyyAYUb\n9RkwPPuAghJSEMHBDbV0IW1QdA8Bvup/g/ZF/43TS79GnwiQosg/oxHBYBC9Pv5AbUmaC7KFR5Kk\nGXU82MGKjp+zpP0n/EXXm1FdTSN9GIzspxduyj8S9OEVPRAY+lOlFwp/pLuJ/xV8Vzs2YAjyg9QV\nfDP5bl5Lt7ExrSRm/n+UciObMq1a208AwR/6L/LppLxwa05AgX49IqDne5n381R6AXcl50Tl0S0C\n2ngKGewM+fDDD9m/f/9cFyMxyS6thCADHkmSZtTXun7L24ETnBFdvNi3j819Yz8UH0/KQz+sK+oz\nSfl8PbUwPEanV0/qQDL1SU+xXBm9SN9DSUv5h7QSPp2UP255BCKql6AleIGfZf0xlkAO9BsAhQW6\nNJ7NuoOGhX/M2wvLuFU/tOXD38z/ZMwNQa9VfX19vP3225hMJm3/I2kE2aWVEOTXE0mSZtTRkH/c\n98M9lLSUpowyXu0/gkVvxCt6+Md+F4WGhXwh6VbKkm/hJn14oHKlvpBNwfCWDzbdrdw9bOzPeAqT\nFmFAR2Bw4vldhgVk6VN5a/GTrPPtZUCE+OusQrL14WntWboU9mT/f7zdf5IFujTuSV486c/gaqWq\nKufOnePhhx+WQeB4ZCtNQpDT0iVJmlHf7t7B3/fuBCAJHW9nPM19SdePe83ewBm+2v0674UuaMc+\nqV/MroyvRJ23L3SWACGKlMWTeuC+1qvyYs9+zEoq6zIe5PrBVZOliQkGg+zatYsbb7yRpUuHdn0X\nQlxRgc+sTUtvenlqmVi/Ip9300C28EiSNKO+l/4Qt+qzORxq59NJFu42jN9Cckn08amuetpET9Tx\nw6H2Uecu013e/lN/nGrhj1Mt8U+URjl58iRHjx7l3nvvxWAYeoR4PB7a29spLi6ew9IlKBmrJAQZ\n8EiSNOO+mHLbhM89Gbo0KtgB+FzSzdNZJGmShBDs3r2bBQsW8OCDD2rHBwYG2LVrF3l5eTLYGYvs\n0koIMuCRJGladYg+VnX+J28FjnOXfiG/nP8ES3WZE74+T2dkPklDu5sDtys51KZ9aiaKOyNe7VI5\n2N/OyvQbWZ6yACEEL7Tt5r3+i3x+Xj5/mnXrXBdxUi5cuMDBgwe55557SE0d2gbj6NGjnD59mgce\neACdTs6BGZNs4UkIMuCRJGlafb9nJ02BowC4gmf5ZreTp5Nv4yf9bkxKKv879VFyBwcex5KqGHjU\ncBOvBo5ox+aRzOZLf8CadiMfSzLNdBVGOdjv5dBAO/ekLNI2Ch1LTbuLqrbwlPn/2baL7dc/yTcv\n7mB33zkA/rOrlY5QP39pumvGyz0dWlpaSElJ4eGHH9aORcbwLF26lPvvv38OSydJEycDHkmSptW5\n4ftgAWrIx+ruXxEc/Jr7YbCNA5lfGzeP76Q+wO+6TuATfSSjZ7f/IruD25mnJPHuEht3Ji+YsfKP\ntLXzCKvP/ZYAIUy6FL6U8XFOBrpYkXo9f2VcNur8f7t0SPt3PyF+4HNrwQ4ACvyi86OED3j8fj/7\n9u1j+fLlZGYOtdAdP36cEydOcO+9945aZNDj8ZCfP/6yANck2cKTEGQbpCRJ0+rPku8gmfCDUAGK\n9Yu1YAfgg1AbfSP2yxqp0HAdH2aU45i3miWdJgiG/1R1iQF+0fnRjJV9uEP97aw++zpfu+DUprC3\nh/r4sf89ftnl4b+3/Y5vt+3Uzj8d6OTeE1s40N8Wlc+vulpH5V2QNHYLVyI4cOAAR48e5ZFHHtGC\nnVAoxLvvvkswGOSBBx6ICnbOnz9PU1MTH3zwwVwVObHJhQcTgmzhkSRpWq1IupHmjK/w+8BJ7jIs\nJEdJ498GDtBLOMi5T79kQisUL9LNY5FuHtfrMjjK0M7ki/TpM1b2iN5QgNLTv4zaET2Wdb69PDk/\nn+UpC/nmhR3s7j036pwggpsMGRwLXgLgjqRsNi18dEbKPVU9PT3s2bOHT3ziE+TkDK0wferUKVRV\n5d577yUpaWhT1GAwyO7duzlz5gw+n49AYPxA9polW3gSggx4JEmadncaFnKnYaH2vmn+aur69mPW\npfLtlMmN+ajLKWXV+dc4MuDn8/MsPJt553QXd5TTwa6Ywc4ifRrngkMzyIIItnQeZnnKQjwDgwsq\nRr6QD3vI3ZJsovm61YSEYJFh5gO2y3H48GF8Pl/UIoJCCHbt2sWCBQt46KGHRp1/+PBhzp07h8Fg\n4Kc//Sk5OTnY7fa5KH5ik600CUEGPJIkzbgHDTfwoOGGCZ/fFRrgTLCLGw0Z3Jps5sANX455nhCC\ndb69OHtOsDxlAd833zct+1tdb5gXbpUJhFtlsnTJ7Fi8io8lG7n5+MucGBYMXW+Yz2tdrbj7LxC1\nQbsCiHCL1Pqc+1kwuHJzoolMK8/Pz+fmm4em/p85c4bDhw/zyU9+kpSUFO14R0cH+/bt49SpUwwM\nDOBwODh48CB33HEHHR0dc1EFSZoQGfBIkpRQ9vSd5fGzv8Ib6uXWJDNvLX6SRfp5Mc/9ccd+/qY9\nPI5mW+9JBkSIH+U8MuUypCgGnEue4LvePfSJIGuMhdyRGu7icS55ktXnXuejAR8rUq9nsZLONy7s\niNlrsXXx43wqPZc0XWL+qT127BinTp2KmlYuhGDPnj0YjcaomVlCCNxuN+fOnePEiRN4vV5+9atf\nsXDhQhYvXsz7779PKDT2xrDXNNnCkxAS87dQkqRr1lrv7/GGegE4OOBlo8/ND7Ifinnu3r7z476f\nivwkIy8vWjnq+M3JRsrmfYznLu7ktc7jvNZ5HBQR3bojoChlAU/ML5i28kynUCjErl27WLJkSdS0\n8vPnz/Phhx9y9913k5Y21CJ14sQJjhw5wvHjxwkGgzQ2NtLb28v111/PyZMnaW9vp7+/Xy48OBY5\nhichyIBHkqSE0i+iWwn6CY557kOpS/i3zg+19w+nhTcQfbP7GFs6D3M62EWGksQjaTfwF1nTM/an\nJxTgby7uij4YeaANdmMt1c/nF9cl5kKJZ86c4ciRI1EDkIUQuFwu5s2bF9Wq09fXR3NzM+3t7Zw8\neZL9+/fjcrlYunQpfX19HDp0iEuXLrFw4UJuu+02jEbjXFUrsckWnoQgAx5JkhLKt4338MT5X9Mn\ngizSp/NXmaPXuokoz7ydEAJnzwmWJS9grbGId3pP8+mzr0ZNhd/SfYQggr/Mmqm1bxQQ8I3Mu/hW\n9nIW6tNIUvTxL5tFQgiam5sxGo1RA5AvXrzIBx98QFFREfPmDXUdHjhwgLNnz6KqKm1tbbz22muk\npKSQnZ2Nqqr4/X4MBgP33nsvGRkZvPHGG/T39/OjH/1oLqonSXHJgEeSpITyeHouh67/Cp6An7uS\nc8iOM9jXnnkH9sw7tPfOnhNRwU7EWz0npyXgSdMZ2JBzH2svvosgPHPLoOh4KG0J319wL+m6pLh5\nzLa2tjYOHDhAcXEx6elDs8RaWlpITk6OatW5cOECH374IadPn+b06dPs3LmTY8eOsWDBAs6fP4/P\n56Onp4fbb7+dpUuX0tzcjMfjITU1NWrKujSM7NJKCHLhQUmSEs5NSZk8mrY0brATy53JOTGPF6ZM\n3+rM3zIX0pr3Ff5w09Octvw5Jy3P8PPFjyVksLN//37OnDnDww8/rAU77e3t7Nixg4KCAj7xiU8A\nQ+N69u/fz969e3n33Xepr6/H6/WSnJzMsWPHOHPmDBkZGVitVhRFYcuWLRw7dgy9Xk9qamrU2j3S\nMDO08KDNZsNsNmM2m6murh6VbrfbMZvNFBQU0NjYOKl0n8+n5V9QUEBdXd2Eq6uqaszxXPHKE8tk\nyhgvzxlt4bFarTQ1NUUdU1WVxsZGCgsLcbvdVFRUkJWVFTdNkqSr1+7es7zTe5qilIU8kjbx6eux\nfH5ePj/Mfoifd36EP9SHSZfCo2lLqTZO74Dam5ImviHqXOjs7MTlcnHXXXdFja3Zv38/Op0uqlvL\n4/Fw+vRpjhw5wokTJ9ixYwfd3d2kpqbS1taGz+dDr9fz8MMPo9Pp+M1vfkNnZydJSUkkJSWRnp7O\npUuX5qKaV4YZaOEpKipCp9PR0NBAe3s75eXlAKxfvx4IBwrbtm2joaEBl8uFzWbD5XKxfPnyCaXb\nbDZ8Ph/btm2jubkZu92OxWKhpKRk3HL5fD7sdru2llNEvPvFEu+aoqIiCgoKtDLGy1MRQkz7j8Lp\ndOLxeKisrBw1TbG4uJi9e/cC4b1avva1r1FfXx8zrby8nC1btsQuuKIwA0WXJGmWvd59lD85+18E\nESjAywtW8qWMW+a6WFe0gwcP0t3dTVFRkXbM7/ezf/9+7rzzTi0AunTpEvv378fv9+NyuWhtbeWD\nDz5g/vz5dHR04Pf76e3t5Y477uC6665jx44dnDp1iuTkZBRFwWg00t3dTX9/PwaDgYyMDDwez1xV\ne9Jm4zmiKAps/cXUMnnyC1HlVFWVgoICVFUlNzcXgMbGRsrLy/F6vQDodDocDgePPhpe1busrAyz\n2cymTZsmnO52u1m2LDyGrrKyEq/XO+YzGaCqqoqNGzcC4WCkublZS4t3v1jGu8bhcLBy5cqoGKO6\nuhpVVccs44x0aZWUlFBRUTHquNvtxmw2a++zsrJwOp1jpjkcjpkoniRJCeTlSx9qY24E8K+dB+e2\nQFewvr4+3n77bcxmc1Sw8/7779Pa2srDDz+M0WjUZmXt37+fXbt28fbbb/PWW29x6NAhdDodFy9e\n5PTp01r31aVLl9iyZQtnzpwhJSWFjIwM0tPT8Xq9BAIBkpOTMRgMPPjgg3NY+wQ2zV1aPp+PoqIi\nLdiB8DPT5/MB4ecpoAUKEO5xiTxT46VH8hnewyKEGNVqM9Lzzz+PqqqsXbs2KkCLd79Y4l2jqiqF\nhYVR1xQXF4+b56wOWlZVddS0RbPZTEtLy5hp+/bt0yJMSZKuPksM0YsKLhljkcHJEkLQEeonS58S\n/+QpevVSKxcDPfxJRh4LDHOzorLH4+H8+fNRW0N0dnbidru5/fbbtS+UJ0+epLW1lVOnTrF//36O\nHDlCa2sr6enp9Pb24vV6MRgMWK1Wenp6+OUvf0lvby8pKSmkpaWhKAo+n4/k5GRSU1MJBoPcdddd\nWCwWWltHb5QqMe1dWoWFhVGtJwCbN2/WgtxYz9O8vDyt9SdeutFopLS0lKqqKrZs2YLH46G+vp6X\nXnpp3HJlZWWRlZWFxWKJOh7vfrHEu8ZsNqOq6qhrIsFaLLMa8IxXufb29lksiSRJieI7pns42O/l\n7d5TFKcs5AfZU28l+Ki/nU+d+i9aBzooTFnAGzd8lpwJDIB291zg1c5WLEmZfDnr43G/0QJ8/czb\n/FP7+wDceLGZvXllsxr0BINBdu7cyU033cR9992nHY90a0VmYPX397Nnzx5tO4hINxaEu13OnDlD\nb28vy5YtY8GCBTidTs6dO6e16BgMBrq7uxFCkJ6ezsDAALm5udxzzz00Nzdz/vx5vvCFL8xava8o\nM7gOj8/no7y8nK1bt2o/T6/XG9VjMvzciaQDbNmyBbPZrK3AbbPZePLJJy+rjBO532SvKS0txefz\nsXHjRtasWYPb7WbdunXj/s7OasCTnZ09qoJerxdFUTCbzTHTxvPCCy9o/16xYgUrVqyYrqJKkjRL\nMnUp/Gbx56Y1z29deIfWgfC+Tu6+C3y/bS8/XBh7teYId88F7j/WSJ8IL3T4Xl8bP1j0wLjXHO/v\nYJBXo5AAACAASURBVNNgsANwfKCTX3ce5RnjrVOswcScPHmSo0ePct9996HXh9f96e7uZu/evdx6\n660sWBCemXbgwAH8fj87d+7k4sWLHDx4kOPHj5OcnEx3dzft7e0sWbKEO+64g3379uF0OtHpdMyb\nN4+UlBR6e3u1Vp6BgQFycnKwWq3s3r2bw4cP86UvfYlDhw5x5MiRWan35dq+fTvbt2+f62LEd+BA\n+BWHw+HAZrORk5ODy+XSekPMZnPM52ekxSReeqTLzG63Y7fbaWtrw263U11dzfr162loaKCsrAyA\n/Px8Dh8+PG45490vVn7xrjEajTQ1NWGz2aiqqsJkMmG326mtrR2zHLMa8FgslpgVWLZsGaFQaMy0\nsQwPeCRJkiI6Qv3jvo/lV52qFuwAbOk4Mm7As7vnLNbjrxIaXF05IkefOunyTpYQgt27d7NgwYKo\ncTOHDh2io6ODhx56CEVRaGtr4+DBg1y4cIHf/e53dHd3s2fPHm3Q8dmzZ0lKSsJqtXLx4kUaGhro\n7+9n3rx5JCcn09HTj6/NT2pqMqmDg5I//elP43a7cbvdPPPMMxw6dIj33nuP2267LWpMSSIa+cX4\nu9/97uzceLJdWrd9IvyKqG8YdUokSKiqqmLdunVRaRaLZVQDgqqqWovJWOnZ2dlAOJBSFIUXX3xR\nS9+8eTM2m43169ezatUqrTspVivMSPHKEyu/eNdAeLyw1+ulo6ODzMxMamtrxy3PrK7DM3KqmKqq\nWK1WgFGDj4anSZIkTcY3TMswDP55S1cMXK+fz56ecwREiJ/6P+BH7fs5G+iKusasiw5UcpMy6A4N\n8Dfnd/GVUw5ev3QsKn1j2z4uhQbCb5TwrhJfN93Bn2TkzVi9ILzf1Y4dO1i+fDn5+flAeLDyjh07\nMBqN3H333Qgh2LVrFx999BGvvvoq77zzDi6Xi127dqEoCl6vF6/Xy7Jly7jvvvt4/fXXeeONN9Dr\n9WRmZmIwGGjzdtDd3U9I6OkOGMgtKuGGG26gubmZL3/5yzz44IPs2LGDhQsXUlJSorUWSTHMwDo8\nZWVl1NTUjAp2YOh5GpkUBNDU1DTqeTsyvbS0FIjduyKEiApAcnNzyc3NJTMz/vIM8coTK79410TW\n4PH7/do1kRafsczItPSWlhaampp47rnnWLNmDVarVZu739LSgsPhwGKx0NzczPPPP68Vdry0UQWX\n09IlSRrHgb42Xu1s5XsX99IjAihAYeoCXH0XAFhqmE9L7mo8/R1UnHmL9/raEAIMikJR6kJ+dr2V\nted20ngpPM1aj8Lvcp/g/vTFAHzpVBP/0fGRdr8vZBbw8+sfm9E6ud1u0tLSuPXWoS6zI0eO0NbW\nxj333IOiKHg8Hs6cOaNNBjlz5gzvv/++1jXl8/lYvHgxt99+O++++y7Hjh0jKSlJG5Dc3d2NTqej\nK6gjJBRY/P+zd+bxUZVXH//e2ZPJZLInZN8gQCAsicimIgIibnUBa7W+bZXFahf7qqCtWttaQbu9\nrbWKS+tStQKiFqVIAEV2kgAS1qxkXyczk8w+c+/7x00mGRICaFi08/188iHPfe595rk3zL2/e855\nzskDjw2DYOfXP1uMzWbj4MGD5OTkkJOTQ0dHB0qlkmL1GN47oWZYuIY3bx/OuMShCT4/l5y3Zenv\nrPpqg3x7fsA8e6w7q1at6perrke0LFmyhKKiIlatWkVxcTELFizot8z8VP0Wi4WMjAwWLFjAokWL\nMJlMLF68mIKCAv71r3+ddrorV65k5cqV/jQzZzKfgTjdMdnZ2WRmZrJ8+XIKCwtZsWIFxcXFp7Q0\nnhPBcz4ICp4gQb75+CSRZzv2UexsYUZoEvdFnF0B0PuaPuN588HeDSe9LL+WMIsHmrdh8rnkDd23\nlF/HXsovYguIOvoyHaLLv/9v4ybzSIy8EqbCbeGqmg844ekkTW2gMPUGsjXnpnim2Wzmiy++YMKE\nCRgMBkAOQt69ezdZWVkkJiZis9koKSmho6ODLVu2oFQq2bRpE6Io4vV6sVqtaLVapkyZQlVVFSUl\nJfh8Pv9LpcvlwufzodPpEAQBQ/Jwqs0S2EyQPZ05EzKINB0iLS2NcePG0dnZSXOnmzpjHp0hCbxz\noN0/31FxIRx+6NQJ5S4Wzpvgebu/S+qsuP3WgHk+++yzLF26dMDP8vl63bJLlizh3XffJTo6mhUr\nVvQLOh6sf9++fSxdupTCwkIiIiJYvHjxgNakgXjppZdYuXJlv5Vkp5vPQAx2TFVVFfPnz6ekpITZ\ns2ezYsWKQQVUUPAECRLkouWxtl38xtT7lvh83BXcGzF2kCNOOr51F79pLwrc2Ef0/DNhNnc0nJS3\nQ4InYyfxeOwlzKx+ny32en/X+tTrmBuW5m+7JR/1HhtJaj2ac1QstLS01L/0u4eKigqam5uZPHky\nCoWCffv24XA4WLduHSBbgqqrq9FoNHR2duLz+RgzZgxqtZqtW7dis9kwGAwIgoDb7cbr9aLVahEE\nwS+gqqpPoEzJoyt6JMqqnVw5JoWpU6bgcDiQJInR+dO46d922u1eeVJOK1iaIH4EYVoFnb+ZfE6u\nx1DydRU8Qb4cweKhQYJ8g6mydXG0y8oEYyQJuhCOd1l5taYKo1rNjzNGoFdd3LeAzx0NAe2HWrfz\nmuUoryTMJFcbfdrjH46ayHZHoyxaTn5eSLDL3kyWOpyK7hVdSJCtDufeyDEAvJM8hweatlHr7eJO\nY06A2AHQCEoyNOemxITdbmfv3r2MGTPGH0zq9XrZuXMn6enpTJ06lYaGBioqKigtLaW8vByr1cr2\n7dv9K7Y6OjqIj48nKyuL7du309TUhE6nw2AwIIoiLpcLtVqNTqcjPj6e3Nxcjh07hqDWcdu9Syn9\nfB06RRnT/+dbiKKIzWbjsssuIzc3l1UH2mi3HweXDdqrQBsG8SMAuGPC0NUt+0YQ1CoXBUELT5Ag\n31A2tjRxw57PcYo+ItUa/pU/hW8X78TkkVcszYiOY8u0macZ5cLyYOs2ft+xv3dD91d+hDqCY5l3\n0uy1s6K9GLvk5ceR4xitlVdouEQf5R4zLV4HPglilBqmnHgPZ88qLKl3vGv16WTqDFh8bm40ZDA3\nLPWCFwE9fvw4FouFgoICf16R6upq6urqmDJlCqIosmfPHr/7KiQkhPXr1/vz5NjtdkJCQsjPz6e0\ntJSjR4/6l5mLoojT6USpVKJWqzEajYwbN47KykrS0tKYeN33+fVfXwO3ncicSTw6O4UwtcCUKVMC\nrEzbjzdx2ZMfIqlDITaTGL2KBy9PJNGo4Y4JsSgU5y73zFBx3iw8/zyzQpmn5I5bgs+7IeDifr0L\nEiTIl2Z5+WGcovyA7/C4+W3ZEb/YAfi0vQWrx0O4+uKr8N3Db2OmoETBB12VHHP3rhCp8ljxSiJX\n1bzPIbe8omSVtZzDmXcAcEXte/L+EuAT0KHCia9fDA8CfGSrZkfcLUwJTThPZ3VqPB4Pu3btIjs7\nmxEjZGtJT2LBlJQUpk+fzpEjR2hoaGD79u14PB7Kyso4cuQIKpUKl8slu5tGj8btdvP+++/j9Xr9\nFh2bzYYgCOh0OnQ6HXl5eTQ1NWG1Wvn973/P+vXr+f2fn4PYsaA10GFzc1RK4eUl1/nn6HA42L9/\nPwa9nld+ciO/39pAuE7Fc9/KYGJy2IW6dBc3Qa1yURAUPEGCfEMJUQZ+vWO1WvqmjInTaNlv6WCU\nIZxY7bnPHfNl0AhKVsROZaFxNLlVb+FGLhQ4T59Gg9fmFzsAJtHF5MrVWCU3JpzyRgFQSN3CT4Ce\nt+Qe4SPJDd9F8PZcXV1NQ0MD06ZN82e3ra2t9ScWtFqtbN26laNHj1JRUUFXV1fAkl2bzUZcXBzD\nhg1j27ZtdHV1odfr0el02O12RFFEp9Oh1mgIiUvH7rDT0NrBLx9/nAMHDvCXv/yFEWPysadOA48T\nYtJh2BjSRqUAclBzzyqxyZMnIwgCecD3J8VfgKsVJMjZExQ8QYJ8Q1k+Ko8Ss4lGl5ORYeH8acxE\n5sQm8IeKYygFgRq7jSu2byZCraZw6pXkR5w+gdiF4v3OSr/YAdhhbyReGUq8MpRmX3fuFwmqPZ2g\nkAIzjPWoPKG3EYIKh+QFBG4yZDD1Alp3RFFk165dJCUlMXXq1IBtCQkJTJ8+nT179lBbW0tJSQka\njYbPPvuMtrY2JEnyC5m8vDyKiorYv38/KpUKvV6Px+PxF/fUaDSkp6dTZvLQ3t4FY6/D5HHwx7++\nyNSC8dx66618tL8eIhIgSXZdCcDCSyLZtWsXGo3GL3SCnCXnsLREkDMnGMMTJMg3GJfPR7PLSaIu\nBJWiVwXctnc77zbU+ts3D0tmzaSLt9L13NoP2GDvnS8SmIcvpNrTyUMt2+kQXRTZWvGrG6XUK3R8\nCqbo4ilxteKSRFQI/DN5NqO1kbgkHxN1sRfsId4TdDx58mTU3a7Fvtvq6uooLS3l2LFj2Gw2Dhw4\nwIEDBwBZFCmVSjIzM2lububIkSN4fCCotSgFCYXo8cftxMbGEhERgcPh4EBYAejj4WghRCZx5/VX\nMikOxo4diyUmj2/9/Zg8OdGL1nSc127PYf6cqX6r0zeJ8xbD8/p7X22Qu24OPu+GgKCFJ0iQbzBa\npZLU0P4J4FQnPbxUF9lbu1cS+Wt7KTWeLm41ZnJVaEqA4AkVVDxUuZdGt5Ml8eO4ITqVSZWr2eds\nAwSMohZHlwK3TyRTY+T94fPQq1QccLaRpAojTWO4cCcHFDVaeHX9FkYlxfOjq+UaX5IksWfPHqKj\no8nPz2f79u2Ul5fT0NCAyWRi48aNOBwORFG2dMXExBAaGsr27dvl2B2VBnwSksuGV1Ci0YeSEBNF\ndGwcdW1WDLE5/PC2a3ngV3/EbqqH3KvB2cn44anc/90b/KLvvimx/HXtZwC44nP48S4d18wQCdd9\n8wTPeSNo4bkoCFp4ggT5L+Rop5WrdmyhwekgQatj09QrGR1uPP2B54m767bwqvkoAGpBwY7Mm3jF\ncoh3OssxKjTE2MMptshBzAoEPs+7hr82HuUt6zHZsuNU0TdC+Rcp4/h12sQBPun885/SSq57/n18\nScNBo+NX07JYmBlKWVkZkyZN4ujRo5SWllJTU0Nxo5mdWzYiWUwoJR+CQoFXqSM+MZkTh/fR2dmJ\nWq1GpVLR2dnt2lNrQR1CVHwSiXqROk0a5tTZcOBdUGkhYyp4utAnZLDivvncNy0RgA8OtvPo3zfi\n9nopV6WBovd9eP/P8r4WmZPPlvNm4Xlt7Vcb5H9uCj7vhoCghSdIkK85L5+o4IGD+5CA3+WOZ0lG\n9mmPGWkI5/hV11Jtt5EWGkqY6uJaqfXvzmr/7x5JZENnLX9LuJK/JVyJw+fFsPNNf7+IxJ7ONjZ3\nNIKnz3n0eakWL5KHxYEDB3i7uBZfRnfyREnilY+3cNtdl5Gdnc26detoamrCZrPx+oatHD2wH3w+\nUECiMQyTIgpnUzWN1RUgCISF6nC5XLjdbhQaNaJCB2Ex4POSkjyMH9//I+7+xe/hwCrIvBy8NtBH\nQsY8bIJArdmDJEl8uHknt756BG/MCFCpEBS9we0JBjWZURdnUPvXhovjv99/PUHBEyTI15g6h50l\nB4r8q4zu+6KYufEJpIf2Xx4sSRKPHT3Ix82NjDaE81xePrkXkVWnLyO0EbTamwLaPfyyZp98vt2C\nRgAuNcSSq4+gyezw76cRFLglkSydgR8l9taeuhB0dnayb98+8vLymOiN5PXNx6DLDK21ZE4uoKam\nhsrKShwOB5WVlRQWFnKsqR1ELyhVEBqOyeXC2XoARAkEBYgCdrsDtVqF0WgkNjaWVpsI+khu+O4i\nfMc+451X/4oydRw+rw/CIiHrOvlYAElix55idkU1oIzNxBvf67KSRInrciMw6JQ8NisZg+7cZJH+\nryHo0rooCAqeIEG+xpjc7oAl1SIS7W436aH99/1bdTlPHT8MwD5LBxLwz/wp52mmZ8dbybNY1PAZ\nNZ4ubjdmM9+Y5e877ujNigwwXh/FlPA43sy5nPvKd1Ht6uK2mAzuis+ixmUjNzQCvfL8W7B+uvkY\na8taiLE08Oz0dGZefjkA900IZ/PO3XxutZOWnsQccynHu2RRtG7dOurq6uQMyAoFbq0eFGporpHz\nCImAQgmiG1BiNIYTFRVFaGgoERERPPzwDyguLqZ08zvUh+bg0MYwd/wIKo0TcfgUtNo92Fw+aKsA\nj4Ob75nNlCkZtHV5iDfU09wpV38fkxDK2u+NRKUMPqiHhKCF56IgKHiCBLnA2L1eWtxOknWh/YKJ\nT8doQziXRcfyebtcAXxKZDR54QMXsCy1WgLah05qn2sO2NupdncyLSyeGFXIoPumagz8J/26Afuu\nj0rh/fYaf3thQg4ACZpQ1owOzBydoBlA+Z0HHttWzv/tLofao9TEpbD4kIeyqdDe3s6hQ4f467em\nsHXrVrq6LIiigsLCQg4cOIDdbkepVBIeHk6cPowDh46CxwVI6DRqnD4niAKoQomKjmRYTATh4eHc\ncssttLS08PbbbzN27FjKdLnUS7GQOZ06j4qXZ6YQHapGa65idVEjjjF5zB2byF0FcgmImDA12+7P\n5bltTWhVAg9emRgUO0G+cQSDloMEuYDs7mhn3q7PMHnc5IVHsHnqlURrtGc1htPnY1VDDaIEC5JS\n+iUc7OHDxnpu3PO5v/1w9khW5J66svBQ8v0TW/iH6bi/fbMxnXcyZqH+kgU317RVs93awmRDLAti\nM4ZqmkPGmGdXc6i2AVJGgiCgFAT2zoxGpVLR0NDAiRMn0Gg0HD58mI8//piuri7cbjdhYWHo9Xrq\n6+uxWCxIkoRCocDr9SKKIiEhIRgMBiIjIwkPD2fWrFlotVp27NhBeno6WVlZpKenc+euONxoeifU\nXg3OLqJSh7ProUsZHju44Pxv4bwFLb/ywVcb5O4bg8+7ISAoeIIEuYBM+7yQHR1t/vajw0fz1Ki8\nc/Z57zfW8Z+WRkaHGblxWCKPlX2B2ePm/rQc5sQOOyef+abpON89saXf9j8kTeGBuMBz/Xl1MS82\nHSNWreP1EZdxiaG3COVRu5kyh5VJhljiNRf2ge3w+NjdaCEtXEdGRK8Vyev1snXbDu7c2UKjujs+\nyt5JrKWeDXdOZ+fOnRiNRlpaWnjvvfeora3F6XSi0+kICwvDYrH4Ewr6fD4EQfBXMg8PDyciQrbo\nTJo0ieTkZD7//HNiYmIYPXo0WVlZXHvttYSGhnLjq0f58FAHmE7IVcwj00EnFzn93xnD+N0NaQOc\n1X8f503wvPwVBc89QcEzFARdWkGCXEB6al314PD5TrHn0PCtYcl8a1gyALlb13G4S3ZrbWhrZP/0\neYwKO3UQs130fKmimls6GwbcXu+xBbTvPraNV1vLAGj3uph/9FOqL5kPwOrWam4/9ileSSJGpWXb\nuGvJCb0wAddtdhdZL23H6pb/Vo9cms5vLx9ObW0tNTU1HAhNoVHlkuM2GitR+dwszdFQXFyM0Whk\n7dq17N+/H5vNhkqlIjIyEo/HQ1VVFZIk4fF4/EJHqVQSGRlJVFQU4eHhjBw5knHjxrFz505aWlqY\nPHkyOTk5zJs3D4OhN7fQbyYLxFqa8Y0ZTlGrktImp78vTBPMp3PeCQYtXxQEBU+QIBeQx0bksqBo\nBx5JJF6r4/6M4eflczu9Hr/YAXCLIvsspgEFT5PHzrwTH7HP2cYYbRTr068lQRVKk8dOvDoEtaCk\nzeNgWcNujro6aBLtdIgurjek81LyFTS47f0nIMGGlkbujbKSoTPw5In9vNpcFlASosEtV/4WBIGn\n677A2/2G2+Z18ULjUf6YdemQX5cz4UebjvnFDsCK3VXcoGknLi6OadOmUbi9Apw2aKiATjPhoo2s\nKy9nz549vP/++1itVjweD5GRkbi9ImXVNYg+EUH0ICAXC1UoFISHywHJRqORlJQUpk2bxoEDB9i5\ncycjR44kLy+PuXPn0kUo/6noYmScHb2ziebmZrKzs3n5gW8BUFTbxbUvHaOly8OkVD0PXHFuLHlB\nBiFonLkoCAqeIEEuIN8alsyRmddQYetiojGKGO3Zxe98WQwqNWMNERzslJP3CQKnLK/wWMue7gzG\nUOoy8eOGbZQ6OihzW0hUhfL7hMncVbsFDxIIvcvFXzMfI1EVyn86awOLdXoE8CkpFc3klqzljpgs\nXm0u7+3v3vem6FT/nPSKwFtV6CnilIaSokYr/1dcQ6hayWNTM0g2yLlonN7eml50diC11jLhx/ej\n7f7bTRJMGGpL6WxrAUMks9LjWb58OY2NjdgdDnxKLaF6I83NzZg77XKeHSQkRBAEQkNDiYqKwmAw\nkDBsGKMnTMba3sj27dtJT09n6tSpzJ49m5iYGEob7Vz23BeYm+pQONp4/vtTWTw7cOVdQUoYdU9M\noMPuIzZMFayFFeS/lmAMT5Ag5xGLx81+i5mMUP2AJR/OFLfoQ6M4fcBvla2LfRYzeeFGssMCyyls\naG1gblFvbE20WkvTzJv7rRSbX7OB1dZKfztFFUat2wZ0i5uemlUive1u5ulT+dhSFzgph6rXxC+B\nXlBj87vy5O90XlgUJeOvR9k9l+LONuYd2kiLx8nEsGgKx1xNpPrcicP6TiejX9npt+SMiAzl8N1T\nUCoEykx2cv++A0/NMVDruP2KSbx1/Vi2Vzawcet2FM3VhEdGUO/TsW/9WipLZfeVQqGiya2ELotc\njVwhgM/V51MVGKOjiY+OJD4+nrTcAt7eU4evrQ7Colny7Xl867o5vHzUjUYp8MuZafxmTQmvbzkM\n4fEQFsclKXr2PDD2nF2XbxrnLYbnxX9/tUEWXx983g0BQQtPkCDniRq7jWnbCqlzOtAqFKwqmMZE\nYyTfKdnBkS4r18YnsjJvEupBlqZbPG5uKP6MraYWRugNfFRwJdn6getCbWtv5eodn2H3+dAplKyb\nchlXxcb7+7t83oD92z0urF4PUSetErs3KpcPrNV4EFEiIIoSAWIHAi04fX6vddrRo8aGnN8FnxBo\n3hcgXNVX8AgsTBjBX7Mn+8UOQL4hhtpJCzB5XcSpQ1CcYyvFvubOPm4rieNmG/HPf8blKZH8aXIi\nb40WOTLxCsalxHFDdhxPrNnMr15bDQoVxuRM/qejik8+WEtnZycejwej0UiTyQKWNkABkhv8XjEB\ntAYIMZCZmczlUyfjERX87d+7kNR6GDkHUvN5sSOGf/67mU6XDzrb2Pjp59yUnwuJvQInPJgg8OIk\nqFUuCoKCJ0iQ88RzVWXUOeVMwC5R5IljpehVCraZZHfRP2qryDUYeTDr1FmBV1QeZqupBYDjtk5+\neriIdZdcCYBXFAOsM3+uKMPeLSScoo8/lR8PEDyXRcYRr9HR7JYDWq+MiveLHUmS+FnDTt7uKMeg\nUOPxiSCAD4l6ry0g1saPgJwjxifJFhxRQbm3k4oxt3H1sfUctHeAVyH3desVBQLvjZzJ0upiqp1d\n3BabwYqM/AHdLhqF8rzl1cmNCUOnUsjuq25h1+70sHbrbsJa43n9nhsBcDgcvPnmm/x59TaITAaX\nA8uHL/Kq04JeIaLVahEEgcoTdfh8Ivi8yKYwGb0hHFFrQKWP4IpL8xmZGsfRo0exOEWk7Csh7RIw\nxAMCkiDS2d4C5kYwxNAaOZKFV49lf2c1e2psJBk1/PHG9PNyfYKcJUHBc1EwqODZt28fCxcupKio\niH379jF/vrxiYtmyZdxzzz3nZYJBgnxT6LXcyGaQNreTfdbAgN4axwABvn0wuV2BbY+bLyxmbti9\nlRqHnesTkni3YCpapZIwVeDX26AObMdpdeyacjWv1VdiUKm5N1UOmD7gaGNO5Ue0eGVx1uyVoK/h\nQEGA28p/ShKyBYeeQkwC0w0JDNPo+WLsrZi9Lk44u1hw5FOOOy1EqbV8OGoWk41xfDbumkHP+3yT\nERHCR7eM55k9J9jXaqXFbIHa45CQgSMuHYCDBw/yzjvvkJubS8TwMZg3roWqg3JMjk6FLjSEjo4O\nrA4XeLz0MemAQgNhETgM4Vx/6XhGZGVQXl7OkSPtXHPNNRRMn8Vlb7XjUfpA8ILFAq0N6BIicCaP\nASApXENufCi7fzqWDrsXo06JQhGMzwkS5FQMGsOzYMECXnrpJYxGIwsWLGDFihVkZGQwZ84cPvnk\nk/M5z34EY3iCfN040mlh4ucbcIo+FECIQtnHlSPriC1Tr+Ly6LhTjrHH3MaVuwux+3woEHh93BT+\nXF7GHrPJv88fxkzg6tgE5uz4lHqnbL3JDNVTOG0GGfr+NbZ6xm3y2EnU65hXuZ5WsbcmFZI0sEXH\n39/902O9kWBCSCwun0i73cOY0EjeGHkZw7S91hm7z3teAo+HguX/3sojhQcheTiCIPDmnBHUrn8H\npVLJpEmTKCoq4o/PPU9dewd4fah0WkJ9LjxuN4IgYLf3FbFKCAuHkHCITICYZC41eDFKDmbOnMnN\nN9/M8OHDcXlFDE/uwNNlBlMthEaAPo3f35DGtloLGqXAk1elkRN7YTJJf1M4bzE8z6/7aoP88Lrg\n824IOOUdp6SkhJKSEpYtW4YkSRQWFrJixQoAKisruffee/nb3/523iYaJMjXnRdOlPvz7oiA/aQc\nPMuyRw8qdgAmRcSwf/o8tne0khsWwSUR0Txx5FDAPu1uFz85uM8vdgC+nZR6SrFz/6G9/LXpMEQ5\neoVNX0NBT1DyKeJ0cChA6jH7yB0HuzrwuuR2s7uRH5btYu2Y3rIPXwex43a72bVrF9+7ZASb7HoK\nT5iQjhTxx73/4qm7F+DxeHjkkUeorKxEEAQSDSE4HQ7sdiuiSoXD4aTXl6Hwx+kQFQsJWWA3Q3Ml\nmRNm8Pj9ixg5cqT/s5ta2/HUHJSFUbdFBxccrHHy3p2jz/u1CPIVCWqVi4JT3nUmTpzILbfcq4Pc\nlQAAIABJREFUQkxMDBUVFSxatIjly5dTWFhIUVFRUOwECXKWmL3ugLYEqAQBryQxLy6RJ3LGnNE4\nw/XhDNeH+9v3ZwzngdJ9ABhVau5MTmdDc1PAMRavx/+7w+dlReMBPrU3kKuL5PnaKohxDWLF6VY8\nfW/aXkG25ni7hY6EvLa9G1+AKoJqV9cZndtXpaTZygOfHsPm8ZEermNDdTuROjWvzR3DlalRgByf\n1NDlIkqnJkQ9cJBvdXU1TU1NTJ8+nZLmLgoPVcPnqyEijqLYUbzyxlts27wRRbeb0ufz0Wk2o1Ao\ncLvdOPuITbRhoDNAWAwMGw1uCzSWQ3wa8753P2/95Eb/rlarlUOHDhEREcHdN17FK8XNcocPcCv4\nx+52HB6Jt7+XFVxe/nUimHjwouC0y9JXrlyJIAgsXLgQi8XC0qVLWbp0KRkZF7Z+TdClFeTrxs6O\nNi7fUYhX6g1anRAeyYZLryRWqwvY1+nzsaq+FoD5SSnolIOvvvmsrYUKWxczY+NIDw3jn7XV3FW8\nBxEJg0rF55fNZJwxEoCZhz5ii7u2V+B4u2/Gqj7fJ4nu4OI+7qweDSMCTiV+QdPt0krVhVHjlrMn\nfzc6m7caqruFDzydMZFlqeeuZIZXFHn5i3oe2nqcLk//bNXROjWtP5yBwysyd9U+Pq8zE65Rsvam\nccxMi/Lv5/H6+GjLZ4zOzGBEVgaiKPLEn/7Gb9btgOwJ0FoHW98lTgNqpQKn04nT6cTn8+Hz+fB4\neoUlSjWERUJIBKSMAZdbdk9FJkH+rRCdA14l/3dTGj/ID2Pf/gO8ecBBuZjMpWl6fnVtMi/ubuL+\nVdW9wrKbfy8eznVjIs/Z9fxv4by5tJ776KsNcv+1wefdEHDaHOOLFi1i4cKFABiNRl544YULLnaC\nBLkYOJsb0LEuK6/VVTIzpttl1e39afO4MKgCyzV4RZHZ2z7jrqI93FW0h9nbPsMriv0H7cMVMXH8\nIC2T9FDZbXVHSjpFM2bzVsFkDs6cyzhjJJIkUePsYou9PvCbr5LAo+i14EjIq60kQQ5C9nb/eAQW\nhGajcKoBBTEqHTdFZJAfGssvkidwdNwtFI66huKxN/L68CvYOv4ankgbx7ujZ5xTsQPwnXWl3Ft4\nZECxA2ByenD7JF7cX8fndXKyRavbx30bj/r3Ka2oZvRjL3HTXg+XfVzL24XbePjhh8lNjGbmzJnw\nyWuw4R+ECCKi14PJbKXdbMVm9+B0OvuIHSWERUN0EowogORsaK6Sc+/MvBeuXQaRstjB4+SP72yk\nsrKSLZ1prDwazubjVp7e2Mjop77g1W3tXJIUzslR4h32c1uCJMgQIwlf7ecUzJ8/n6ioKKKioli2\nbFm//sWLFxMVFUV2djZr1qw5q36z2ewfPzs7m5deeumMTvVUYy5duhSFQhHwc++9957RmJWVlRQU\nFPTbfvIcBzrHvlz8jvQgQS4yrB4PtxZtY3N7M3mGCN6/5LJBkwhW27so2La+N+9NH1dErdPOto5W\nZsUk+LeVWi1sa+8tKLqtvY2DVgsTIs7ujX5CRCRjjUaOOy38vbme/63YS4fPAaHSwDE5LiUoJVD0\n6ewRPUCkGMJTiZN4IC4Pi+hmUlgskarAnD1XGRP9v081xjHVOHhM0lDg8oqsOt4ceC7Imq5HJt4+\nMgGtSoHDGygcqy1O1le0Et1exStlVsojsqHTRMuuD/n5dgUvL7qJtWvXcnj1auKUajyhanweB11u\nN06PBD5PwHjowiA0HFJzQamC9gY5DmfqdyD9UvlvLwFeNzSXg1JD6uR88vJyeWzX8YChylp7V+Rd\nOdzAlrJOALJjtVw3JmJoLl6Q88M5MM7k5+ejUChYvXo1HR0dfsPE8uXLAVl4bN68mdWrV1NcXMz8\n+fMpLi5mwoQJZ9Q/f/58zGYzmzdvZu/evSxevJjMzEyuuuqqU85psDErKytZvHixf7U3QGZm5mnP\n02w2s3jx4gFduPn5+WRnZ/vnePI5nMwFybRcUlLCpk2byMzMZO/evTzyyCMYjXINn8rKStasWcPE\niRMpKSlh0aJF/r6AiQddWkEuEI8c2c/y8iP+9nVxiWSHGWhzu7gnNYsr+gQe+ySRsVs/4ojNKm/w\n/5ft/fIWTZ9LvrHXrVJjt5Hxn48Ru3dWIFA5dx5pg4iqw/YO3mgtJ1qt4/6EUegUKuw+L3OOrWd7\nV1Ofj+xeYi50l4EAcPcEHXf3K7rdWD3LzLtXXuFQg0Kez/9lX8L9yafOF3Q+8IkST+2uZHu9me31\nZmx9rDs3D48j1aDj83ozo6L1/GNuLkqFgsYuF5Pf3EuN1Smfk82Cqq2G3Y/cySsHG3l+1TqoOwYx\nKagFkfidb+N1OlGpVFgsFr/ryuUKTA8gx+mEQspoCAmThY5WB+OugtzLwKuWBaXogabjROlDMGtz\nGBEbwtq7RzAyPoTfb2rkwfdrBzzXP9yUyuhhOkw2H3NHG4kMDb6rDgXnzaX1f+u/2iA/uSZgnpWV\nlWRnZ1NZWUl6ejoAa9asYeHChZhM8opNhUJBYWGhbJ1EXnUdFRXFCy+8cMb9JSUljB8/HoAlS5Zg\nMpl49913TznNwcYsKCjg0Ucf5eabbz7j0166dCnPPvssIIubvXv3+vsKCwuZM2cOYh/r97Jly6is\nrDzlHM/oW/PSSy/5V2iB/AcsKys740n3xWw2s2DBAsrL5do5EydOZOnSpf6LvGDBAoqKigAoKChg\n4cKFg17gIEHON80uZ0B7a0cL61rliuCrGmsovmwuuQZZpJ9w2HrFDoAAOkGOf3GLIj/Pzg0QOz3j\nL8nM5O/VVQiCwB/Gjh9U7FQ5O5lS+m+sPg8g8b6pmo2jr+HN9nK2dzX7P9dPd44cOTkg4BNQKxR4\nempD+AQ5SNZfMkKQXV7dmkhE4qfle/nBsOEXdLXVs3ureWJHhb8dHaJGKSj48cQU9GolD2yRLSbF\nzZ2MiQ5j6aUZDAvTsvX2fNJf2A4N5aBU4U0dw392lWA8vh+dpRFn2hjY/CaexirqdCGEiy58Pi8e\nj8dfzdyPSgc6PSTkQEQ0tNeD2wmjr4BLrgGlUnYHij5oOCq3k0ZhEhS8cWsGd07oTQT5s5kJdLlE\nXt/TRofdS4dDFnAalcDMEeGMSw4uQQ8iYzabyc/P94sdkENOzGbZXVtSUgLgFx4As2fP9j/HT9ff\nM05fY0NPId9TMdCYs2bN4plnngFkkXa24TCPPvoo9957Ly+88AKFhYUBfZWVlUycODFgW0FBAStX\nrjzleKeN4QF48cUXKS4upry8nPLy8i8tdkBWZX3NWBkZGf4JlpSUEBXVe/M3Go39TjJIkPNJvc1B\n1UnJAb+XkommT0Zjq7enRIOES/RxU/FnLK84hChJxKh1hPURBQLw1oRpdM2dj+OaBfwqJzC2Zfnx\nI0z6rJDnq8tJ0odwYu613J2ewV1Fu9B+sIqcjR9z0GIOOGaLtVEWO4IESontjiYuOfw+LW4H/ekW\nM90xOXLsjgKPE3I1kSh8CvAK6LwaIn0h4FbKP97AW4UPCY80eFzRuWR3o5lni6oCtuXHh9P8wyv4\n+eRMPq3tCOjr244UPGSayiBqGKi1qA9vo+v4fsZkpDAj3APv/BbaGgAJzO04HHZsNjdut9svdlQa\nDeiM8pLx7GngdYG5GYZfCgt+DXk3gqgGtwT1x6ChDBJHwrCRIMjX8lhb4N+nyyXyh83NVLa56bD7\n0KkU/M+kGDb/aGRQ7Hzdkb7iz0lMnDgxwNoB8nM6Pz8fkMVARESg2zMjI8Nv/Tldf0REBLNmzWLp\n0qUAVFRUsGrVKm677bZTnuJAY2ZmZvrHNJvNPP3004PGHJ2M0WgkPT19QNdXVFQUlZWVAdsqKyv9\nYm0gzuj1rKCgYEC30pchMjLSfwH6UlVVNeAFi4qKYv/+/X6zWpAg54tflxzn8SLZSvCDnBReuWIc\nAJdHx1F02dVsM7WSFx7BDw8W8UV31XEUEmX2Th45th+vJPKL7LGsmXg5PzlchEsUeXLEWG5KSAFA\nOcDL0lPHD/t/L7d18W59LQrgjaZKUEkct3v5fskeiq6c498vU2vwf3aPJeeQo4O/dB6VrTgq5OSB\n/lVWAriUqBQKvIhyG4GCkHhKJ9yCw+dFp1DS4XWz09pCoiaU4SEGrju4mc8sssXooZRcjCrNEF3p\ns8Pu8TFv7T5MLm+vFQqYntR775gYZ+CD8tbedry8jP/w4cO4XC4+uv8mHnzrY1paa5iSFUpuejKP\nP/44HWYLKBVg6wLJC4qTLDoIhISGYUwdTpM2FTrqwNwEyXkw5TbQhnRbxSSoOQaCCMNGgKQOCD5V\nKmDuiMCYrIfer8Hq7K0p5vRI3FEQzbTMgWulBfkacQ6XpZvNZhYuXMh7771HcXExACaTKcB40Hff\nM+kHePfdd4mKivKnXpg/f/6g7qjBxqyqkl9OoqOj2bx5MxUVFf1ijs6WWbNmYTabefbZZ3nooYco\nKSnh6aefHtQKdUaCp729nYKCAmbNmuXf9mUn2RPwZLFYAiw4FotlQCEUJMiFoMnu9IsdgFeP1bJw\nZCqT4+WH1NjwCLJDDXxQ3cTdccP5iXVvd7BvL9tM8gN3Tuwwjlxx/Rl9rlZQ0DdjzYbmJrbZmiCk\n24ok+SgTTcSXvEmHzw1eAW+XirGGWA4LLf5l4AAtThe41KAWe2+4gix8IjRazD6X39qABMPUIQCE\ndFukotRaro1O8Y+3cdwcdlhbCFOqyTdEn9H5fBk8PpGFGw/zYUULI6P0vH1tHmnh8txeO1TPyi/q\nMDn7iBABfpCbyM8n974FPjo5A5dPYnu9mUuHGVk2MZHPPvuMnJwcqqqqqNq7g3kGJ+GTs3n11Vf5\n51++ICQkBK/HjdrlwiP5QAwsropSAxHJhI+cSFPNCXDWQ+JwKPgOhBu7xaQEjcfA64OkHDlwuQcJ\n5o2IZHhsCDeNjmZaWuBLZF1HYAC0QoCc+MB0BV8WSZJ4Yl0DH3xhZkScjue/nUqsQX36A4MMDeco\nTKiwsJD58+cTExNDcXGx3zAQFRU14PO0x6Bwuv4el9nixYtZvHgx7e3tLF68mGXLlrF8+XJWr17N\nggULAMjKyqKsrGzQMTMyMjCbzYSHyy8e48ePx2QysXjx4lOOdzoiIiLYuHEj8+fPZ+nSpURGRrJ4\n8eJBXVpnJHiWLFlyJrudMUVFRaxZs4aIiAiysrIA2fRVXl7ezxw1mAj65S9/6f99xowZzJgxY0jn\nGeS/F98AgYzePttcPh8z/r2TPbYW0PrQ6hS4pD6BwMCkiLMXBdquENC45YenDz5sbACDq09Vcoku\ngw2rt/tzlIDRx0Gzhe+njOIt2zFcko8JIdHsa7fJYiegvpL8u1l0y7/3nJME86KTsXm8vHKkFrco\n8v2RKUTreq04aoWCKyISONc8t7+W1w7LMVE7Gy0s3niY/9ySz+aadr73nz5ZpbtPK0Gv4ZnLRwRU\nUFcpFDx1WTaAXKPqUCnR0dGUlJTgcDioq6ujrq6ON954A4VCgSiKtLW14fZ4EH0nLfkWNGCIhvR8\n6Giiue4EJGbApTdAVJIc9O0WCOssRyt48SQPx+pW+cWlWimgkAQ8HoGPS2zcPE7L9Gv6W8xvzIvk\no0MWf/u+y+NIjdL22+/L8Ped7fx6fSMAX9Q78Pgk3l+SPSRjf5349NNP+fTTT8//B5+thaf8AFR8\nMeguPSJh6dKlPP300wF9mZmZ/Z6llZWVfgvMqfqjo+V7VmFhIYIgBCQYfvHFF5k/fz7Lly/n1ltv\n9buTTjdmT3+P2Omhx/0GDDjemXDVVVdhMpmwWq2Eh4ezcuXKQY8fVPD0mIo2btw44Ad9FW655RZA\nviBZWVmEh4cH+Pv6cip3Vl/BEyTIUJKkD+FHuen85VA1ADekxTM1vtcFsavZzB57M0TKq3VcQIZW\nj0qpwKBWMi8uicezxwaMKUkSdU47DQ4naaGhJOhC+n1uq8MNPS/eKhF03n5lHsSBXhc1PpKkcOrG\nfYc2r5NsXTh/CD3M0hPFpzlTefCfJo9iangcl72/g53N8k3rpcO1FM+fTpj6/AYm13YGBoXXdsnt\nkubOgO0ahcD9E1KZHG/k4c3lxIRqeHRKOkadPF+v18vOnTvR6/W4XC5MJhMnTpzA4XDwwgsvYDKZ\nUKvVWCwWXC6XXM2877VVqORSEJmXQFcbWOshKRvGzIDk7vIOkgTtx8HqxRE9kq4QFfQk1Bbla/vt\nvFjWFnXicskxT+8d6GDtgQ5unRB4Y144LRaDVsH2yi4mZ4RxxyVDZ0U73BgYL3SkaaD4rm8+J78Y\nP/nkkxduMoORPU7+6eGTN/vtsmDBAp555hkefPDBfn09wbybNm3yP6s3btzI7NmzB+3v8eIM9ByW\nJClA0PQNmD7dZ27atInly5cHaInKykoiIyNPOd7p6HHlvfzyy/6Qmx6Lz6kY9E7WEyhUUFAwpGnM\n+5q+Vq5c6Y8MPzniurKy0v8HChLkfPPnaWP4QU4KTp/IpLiIAAtCpFYti5E+1LrstM65hQh1/9iW\nYzYLs/dtpNZlB5+AzhHC+5Onc3V8r8Wk0+MBY89yZwlCPQFZjsOUKr4/LItXu45gO8ndovNpuCMl\njRi1jhi17Aa5NzWHX9buxyEOkKTOB4ISVIKC5ZkT+VlKLmVmm1/sABy32ChutXBF4rlzXw3EghHx\n/PVADW6fLD7uGDkMgGlJESgE2WsEMCctmntyk5n49z04u/Pr7G20svk7E6mpqaG8vBylUonZbMZq\ntVJRUcFHH33EwYMHUSgUeL1eLBYLoigGLG0F5GXm2flgM4O1CYZlQdYkGDG5N7lPcyW47BCfBboI\nfKIAipPcYEBkiAqXN1Ck2j0DB3x/uyCabxd8+ettdfjYX2cnNUpDenSvdWhurpE/bG72G/SuyR2a\nmMwgZ8gQu7RWr14NyIHGJy/s6REtixYtYunSpaxatYri4mLWrFnjX0l1uv7bbruNZcuWsWTJEhYt\nWuR3Pw0mJgYbMyMjg02bNrFgwQL/0vFFixbx6KOPfulrEBERwb59+/xWp8LCQjZv3uxfxj4Qgwqe\nHivMrbfe+qUnNRDPPPMMa9aswWQyMWnSpIBAqJdeeolnn33Wn6PnTLM7BglyLhgfM/CDIS86nImR\nEZQ42v3bvJLECYdtQMHzYHmxLHYAlBJOtYv//WI/z+p0HLJayTMauT9zOB68cuZjnxC4hlKAf+RO\nY0tHEzaHCH08HQWaWN6dfFW/4qAGlZp3ci9nybFdOEUf10Yns6GtgVaXC0QFklfil9nj+VlKLgAx\nIRpC+iTnUwoCiaFDE0NyNkxOjGDnty/lkxPt5ESGctNween2lMQIPvzWBP55pJGkMC2PT8niX4eb\n/WIHYEu1iSUvrqEgXCI7MRaFQsGRI0fYvXs3GzZswOl0olQqMZlMAwsdVQik5ILoBmu7HKOTPBLG\nzep1S7RUgcsGcRmg1YNdzjwNyH83Ze/TbUKinsevSiVareOJ9fUA5CWGcFPe0JaF8PhEWju9TP3d\nUU6Y3KiVAm//IJNbJsifM2tkOB//cDjrSs0Mj9Vx/4xznxAySB+GOGi5Jwj4ZAEiCAK+bpfsCy+8\nwJIlS8jPzyc6OprVq1cHeEsG6zcajWzatImlS5dSUFBAREQEixcv7uc6O5nBxqyoqGDx4sUUFBSQ\nlZXFo48+OqB1aiAEQRjQ6NJj0SkoKPBbkgazFF2QxINDQTDxYJCh5p/1VWxpb2F8eAT3pY04rVWz\n3eUibfMH2LozKKfoQjky4zr0qv7vEVcUb2Crubl3g1tJqFuHvU+8SIhOwqF19dar8uF/JVEikKDT\nUe+2d1cdFUEpcXt0Jm+NnHHG55jz+Qcct/e6hkYTw6Gr5/rb/65u5sfbDuEWRX4zKYfvj0wZaJiz\n5l/Hmth4op28mDDun5AaYC37KuyutzDl9SL5BbqzAyr3gz4SVBpGh7i5NqSd99esprm5GZ1OR1dX\nF3a7vd84oaGhjBw5klaPkg67h5iMkSiGpVGZdZUceCwBLTVoXTZcUamgC2NOZhTFx920d/m4PMtA\nUbUNu0ck3AA3j4vk3skJTErtjVsorrHRZvOgQODPnzWjUyv4zXVJ5MT3d20OhE+UcHlFQjW9ddVa\nOz1c/7dydlfbiDeoaO7stTCNHqbj0GNnVpD2v5XzlnjwmU++2iAPzwk+74aA0zrnq6qqePHFFzGb\nzf4o6LP1tQUJcrHzRl0Vdx3Y6W+bPG4eHz52kCMgWqtl/+XX8LuKoygEeDhr1IBiB+BnqaPYYWmR\nA58l0PnUeAUfvWvFJRyaPsHJCuQcOS55g0/tk8UO3bt75Xw510WkntV5LojJ4DcnvugOihY4XO/m\nSEcnoyLlpc/Xp8dzfXr84IOcJe8cbeT2jw/62y0ON7+ZNnxIxr40ycjr14/m3uffoautBWJSwOOC\nhjIOl3xCZVcjerUalUpFa2trv4eGTqcjKSmJhIQEBEHg2jFjKCeSPQnT8en04BFRm+oZ5vQwYXQu\nr3x/ArVWFyqFwJh4PZIk4fJK6NQKXt7Rwj/3mhidoGP5DSkYdIEFX/NT9dR2uBj161JsbtmytLva\nRvkTY9GoBk+J9uEXHdzxj0q6XCI/mBLDy3ekIwgCT6xrYHe1XLC1r9gBOVg6SJAgvQz6LVuzZg2z\nZ88mKyuL2bNnk5GRwaxZs3jvvffO1/yCBDkvfNLWGNDe2Np0Rsdl6w28kHcJz4+9xF+4cyBujE1l\n/6TreWP0NH6dPgGF3otb74QwN/JSHt/J9SFlM7hbJf+c1KdTKPlJ8ihujz+7zKW3x2dAvQGa9VAX\nDl7laSuxf1U2njCd1G4/xZ5nT0tLC9ata7k1NxkiE8DaBtvWwKY3oK0GlToEk8mEyWQKEDsajYak\npCTGjh1LQkICOTk5zL56LtPu+CGFibOxKkKwNddCTSkerZ72lCz+uTCfaL2a8cPCGBMvZ74WBAGd\nWsHmY1YWvX2CT8s6ef7zVu56vXLA+R5udPrFDkBth5tGq2fAfXuQJIm7Xq+iqzvo+dWdbawrlVdz\nmeyBIseglW/pBp2CP9wyNNa5IEPAOSoeGuTsGNTC8/TTT1NcXByQdHDBggXMmjXrrOphBAlyLmm0\nO/mkrpXUsBCuTIz5UmPkGQITXo4xnHlQpyhJ/LLyABvaG8gLi+SPIwoIO6kCepWti7v3FnG0y4pH\n78AudbuylBKhIeBWSHhF5FcQQU7pc3NsGmsbGvBJEhNDYyhxdSfSkyBeGcryrIlnvZhgdJSBh0eP\n4Jn98gP5lwXDyQg/t1l8x8YGCsGxMUOTSO+9997DZrOhzcrj43VFcLwI9m0Eh1Uu+eB209XeHHCM\nIAhEREUTYowhJiqc0aNHEZ2Yyj/cIzBJSQhb2qCjCTrbICoRUpMAsHl8/Oo/Day4cWARsaOqi77G\no38fNLOtvJPp2YHnOjYxhHCd0p9gMDNGS6Jx8Hw4PhG6XIGB5+ZuobNwWixrD5hxeyVUCoF/3JVB\nbmIICeEqjCHBelsXDUFv1EXBab8RJ2dYPjkTcpAgF5KaLgeT1m6j2SGvbvp1QQ6/mHj27pKfZY6k\n3eNmc1sTE4xR/G7UxNMf1M1ztUf5dZXsstljbUcCXh49hTqnDYvXw0h9OAuLi9htbgND95rlPhmC\nv5uexsq6Mnlj9xIkEYERkXpax30Lh89HjauLKXv+I+d2EQVOeOwct1vJM5x98OuKKaP433GZCALE\nhgxNnpfB+PGEVFrtbjmGJ9bAn2bkfKXxysrK2LBhA1OmTGFreRMPvrYBcfPbYGoAlRIkFdj7p5eP\niIhAZ4ikyaulIySZJn0y98xbwN87YjG1dIK5GcnaChEJkHpS7ItdTbXJ1W/MHialBdY684lw00vl\ntCwfHyBKEyM0bPpRDr/b1ESIWsET8xJRKwd3Z6mUAj+eEc8fN8vibUScjuvHyvfhq0aGU7JsNHtO\n2JiQHMr4lGAJiouSoJXmoiD4ChDka82/Khr8Ygfgz6VVX0rwKAUFy0eeffmSV+vLebisJGDbga4O\nnq89xo+O7UVEYnbUMGod7u4kgIHHx6i1mN2uPi+AfcoPIBCp0RAJCAqJEEHlX2IeplSRpO3/cHN6\nfehUp3dRxYVqabI7+fhECzkRerKMpy5OOhBun4haMfDKiZNRCAJPTR/OU9O/WtyO3W5n7dq1hISE\ncMkll/CPXWU899xzULlP3kGtA3tHv+P0YWFERUYSGRlJkyYedMMgdSTi8En8qUlPe1MNtNaDMU4W\nOhIgQpxWS0u7CKISwavk1vGnTmg2Z5SRJdNjeeHz3nIWbV1eWru8HG50kByhITtOXvFWkKbnnR9k\nnfZ827u8/HlLM15R4mczE7g2NwKT3cucUeEB1pvcxBByE88s8DlIkP9mBhU8JSUlZGf3z8Z5csGu\nIEEuFJHaQHdAlPb8pcs/4ehi0dFd/bIyXxWZwAPHi/wJAjeaGrktNpPj9SdZHQQweV38q7nG3+4h\nXRfGj1NH+tvDtKG8N/4Kfl6+HwWwYsREojW91pkTnXbmfbyHwx1dTIqL4KNrJmHUqPikrhWVQmB2\ncmzAyqhDpk4uf38nJpcHjULBe3Mncm3a6YOVJUliceFhXi6tw6hV8fa8POamx57hFftySJLEzp07\nOXz4MGPGjMFut7Nlyxae++2z4LSDLkReoeU+afWVQgU6AzatHlV0FldOL+Dt5jA5l45WA53tVNQf\nJjw6AVLG9F5/CZAUtHR6KUgNZ15WDJdlGZiVM7Cbs/Coha3lXVyapueDL8w0WuSYnGtzjUz93REq\n2lwoFfCP72Zw56Qzc7l6fCJX/ukYB+vlBIF/+7yVyel68pJD/dadIF8jgi6ti4JBBU+wtlWQi53v\njUhmY10rqyobiQvR8vcZ56/IbIvb2U/sPJQ2ml9ljuMPNUcCtt+clMTNcSk8ULmHBm+5uA1bAAAg\nAElEQVTvg1n2YHX7tyTkpeg2DXVmH9VddmKievPgzI1NZG5s4oBzeWjnEQ53yFW49rSY+WXRMY6Y\nu9hcLwcIL8gaxr9m96Zyf+5gNSaX/GB2iyJPl1SckeD5sLKVl0rrADC7vNyx/iDt98487XFflvLy\nckpKSjAYDOTk5FBXV8eTTz5JZXU1+BTg8YLnZKuOADo96MLkVVsJ2VhiUlgfOwNPTAjY2qG5AcKi\nIHUM1h6hI3b/9DHDWVxenpyXfMr5vbffxK0vV/jjd566PgmNSiAyVEWjxe0vFeET4bF19WcseCpb\n3X6xA9Bh97H+sJX1h61YHD7+dnvaGY0T5CIh6NK6KBhU8JwqXidYvTzIxYJKoeBfs/J5wyeiOU0s\nxFCTZ4gk3xBFcaf8YjDZGMNTWRNQKxQsz57Ag2XFSMDlEXHcGJuCVqFkU1sTK9uP9sbwiP4iWfI/\nkgA+JV5gU3MLBaeoC7OmopFPG9qZGGvk+yNT6HAFrvQps9j8Ygfg3YpGfjvJ5nddhZzk9go9hRvs\n9cMNPLT1OJIkEa/XcMTUFdBvdXvxiRJKxdDe0Nvb2yktLaWjowO9Xo9SqeRPf/oTmzZt6najKeTg\n5JNR6iAkFKKSMWSPoVOfAMMLICKBTocVWspBH9Ebo9N32goQJEEWLz7AJ3DDqMGzHq/e1xEQrLzx\nqJUtP5Utc78vDFzpdzb/PxOMqoDg5r5sr+ga4IggFzVBC89FwZeK4bnnnnsoKioa6rkECfKlOd9i\nB0CrUPJp/hzebKpCAdw5LBO1Qp7Hz9JGU2az8kZjJbUOG8XWdqZGxFFk6ZCz8fbgr2Le3Xb3Co9R\nJxXb6+Gt4/XcsWm/v93qcHPfmHS2NLTjkyR0SgW3ZyfxSV2bfx+FAHp179jLJmSxsa6NUlMnCaFa\nnp0yqt/n1Fgd3P3JIbyiBEi0Ot399rlvXMqQih2v18uePXvotDv51fpS9rWLRLaU4tr7IW63h06P\nBA5L/wMVGtCEQOQwSM2DiGHYs/Ig4f/ZO+/oqMr8Dz93WjIzSSa9hxSSkBBaEnrvUhWRYFnXskrR\nXdfdVeyu7q6FsvvbYlkQXbGtBVCxIgSEpQikUEMJpBDS66ROn/n9MckkQyotBr3POZzDLe+970xm\n5v3cb42EpjrUJaeYMKAfW12bayvZbLgppDSYnQXFud+O5FyFnm1na4nxdWXJiK6bpUb6uHS6vXS8\nHx9nVpN2vhG1QsI/F/W8ZpJGKWPLA/35/cYLVDaaKdS2CtoxUZcWbyUiImJHDFoWEbkC3GRylofG\nttv/ZNYR1hafBSBP38j8w99TNeVWDAbsIqdFI5gkoJciyG3Y6uWAAIINb4krX2RXEqvyIM7LOa37\n64Jyp+1vCsp5LHEM6beM52hVHaP8vYjzciOnrokXMs8iEeD/xgwksE2bCH+VC0dSJlDaZMBPqehQ\nMJY3GZvFTnvivNT8ffKAqxq/c/z4cRoaGjCbzbz1vyz2nymGfR+ga6hCqlBgaWovdCQSCUq1O6Fh\nYZxxiwHPIHuDz4ihWBqbIC8LhZsHx168hygvFb/55iwfZ5WjVkh4YUokBXV6ntllL9P/0pQoorxU\nRHmpmBnbs47Nz8wK5ny1gV1n60kOU/O3NrVv3F2l7H8knvwqA75uMjxVPf+5rWwwseLTQo4U6ujv\n58Jzc4JIL2giPtCVv8wP6fF1RPoIokurTyAKHhGRS2RV/gm2VhWToPZkVUwiaqlzoPR/8wtYeeYM\ntCnBUm0y8srZc/jIXKBaAUozSK0gsxKoVpEsC+Tr0laLTLXVxls1F/gyv4xTt0/C27W1P1f8RQIo\nztO+PcxX49T76y8jB/DYsP5IBQGVvL3LSioRCHHrvFfWYF93Ev3dOVxub0XR4oUTgKdHRV01sVNY\nWEh+fj6BgYEcPnwYtVrNns3vQe5psFrBrMNi7qC7t1xJTFQ/xo8fz8CBA9lVr+ZL+oPZAIVZ9j5X\nYYMxAl+dqea3o1XcnxjEO0fKqGw0ctenZ1h/Yyx1j01AQECtuPQCjEqFhPfv6TzjSiYVHNlZHWE0\nW/k4owaj2criZG9HdeYXvy0h/bw91iunwsCRQh1fPXh1qlOL/AiILq0+QZeCZ+bMmR3ub9txVUTk\n58T6orM8cc6eBr2rpgyd1cxbA8c6nfNZYbHdctNSSBDAKOW3h4/gKpHgJXWhRmZ0WHkqhEYeHhTB\n7oIaGkzNLpbmH8hynZGTNQ2MD2q1ODw+rD9lTQZ2FVeT5OvRoTuqBXfF5T/TuMgk7F48gndPFiMR\nBBL93cgoq2eYnzvjQq68+WVjYyOHDx8mJCQEk8nE3r172bFjBzt37kRnMIG+gQ5XCkEB7t64Rg1k\nyZ1zCAsLY/bs2VT/cIEvN+2wu7bCEgDBHosDPLw1B2+lnLTiehqM9p024LVDxdyXFHTFr6U7rFYb\n56uN7Dhdh0ohZXGyFxIB5r1+ju2n7LFIr+4qZ/+KeJQKCVqds6utVtdBx3uR6wfRwtMn6PLXcOXK\nlb01DxGR64LMuup228e0Wo7Uahnp5c0Ad3f6u6nBKgGtK7hY7Curyf7krrdaWdAviI+0rQ08LTYb\nb+cUtIodcJhT3ORSojXO9XbkUgmvTOidppDuChm/HtYaezI66MqFjs1mIz09HblcTkJCAh9++CGF\nhYV89NFH6HQ6qqurMRrbxwsJEik2tQYCoyF8EEumJ3HnnYvQaDRkZmaSJAP36CHUN7du8JDJqLO0\ntnHYU1BLsLtzJ3vvXqhGnFthYMa/zpBbaXTot4/SPfl7SqhD7AAcKdRxKL+RSbHuLJ/gx8bMGhoN\nVmQSgd9OEbubX9eIFp4+QZff9qQk52qzdXX2L6fYtVWkL9NkspBeoSVQ5UKsZ+f9rS6HvDrnWi9h\nCjeSd6RittnsGsUKMkFCoreGsiYD9SYTOpsFc5tfvDiVB2PxY7/WXqQuXq0hQHAWNR4KGSP9vPjj\n8Bin2JuecrKqgYd3nUZrMPG7xHB+Ed9xOntvc/bsWcrLyxk+fDjff/89X3zxBZs3b6ampobq6moa\nGxs7HOfp6cnAYUmk20IxuvlBRDL9x40hNzcXhULBmDFjEASBocN0bM2tIkLjypenq1mX0dojbUSw\nO7cP9mdvQS2puVqivZW8Oufau4me+LzQLnbAIWS/PFbLywuCUcgEjGb7Z0MQwM/d/pM8KtKNo08P\n5GBeI4NDlAwOESsoi4hcKV0KntraWlJSUti2bZujAGFubi4pKSl8/PHHvTJBEZFLocZgZPyW/Zys\naUAiwL/HD2bpwKtTs+SoVst3FypBLrc3+7RI0Nba7B3QaX6IE8Bss3KkVssQd0+Ka5qrQEvtMTOz\nAwNZETeARxnAhuIcTDYrdwdH0WSw8nleGfn1OlQyKZtmJjMj7PJiZGw2G3M+z+B8nR6Au747zkAf\nNxL9O8766g0qKys5c+YM0dHReHl58eqrr/L5559TUFCATqejoqKiw3FKpYr4IcMYP24sWU2uGM3h\n4B8FJaf522e7yV/zSySS1oDr/t5Kfu1tr5szNcILlVxCVkUTM/t7cX+y3XW1/a6hmCzWbls6XC06\nSi13lQuEe7uw4a4IHviwAJPFxos3hjAwqLVicn8/V/r7XbrYFemDiC6tPkGXgmfJkiUsW7YMsD9h\npaen88Ybb1Bb20FaqIhIH+D9s0WOAnxWGzydduaSBM+3xaW8kn0OjVzOymGDCFe3pgAbrc3uEZPU\n4aI6arnou9BSTsdmo7BJ17rTIvDH+Dj+OGSg49Rf92vtKeUlh+OLJ3GqpoF+bkoCVJff46rBZHGI\nHbC/D6erG38UwWMymUhLS8Pb25tx48bxxRdfsG7dOk6fPo3ZbKagoKDDcTKZjJi4eC5o4sl08eRs\nXQR3zZvCji27ofQsBMcTFObpJHYuRimX8n+z2leKB3pN7AD8YVoAu7LrMTRbctxcpLx9VwRurlJu\nH+HD7SO6rvUj8hNAdIr0CbptLfHJJ58A4N1cAG3p0qXMnDmTFStWXPvZiYhcIvKLFkDFJdSIOVlb\nx43/20fzusQRbS2n5toD9w0WCxIbzAkM5JtSe0E5b7mCakNz8HHb2wjgp3DhjtB+/PNMDgAqqZSb\n+3WdTuwmlzHC/8rbBrgrZIwL9mRfsbZ5W8rY4N5vR3Ds2DF0Oh2jR4+mqKiIu+++m4MHD2IymcjP\nz8dqtbYbIwgCERERzJo1iwNVAg1CGEQmUV+ex4G0TGZOGM22vHpCPRSsu/H6yFqaOVDDsWcSOFbU\nRFKYiijRavPzQ7Tw9Al6XGl527Ztjv+LLSdELoUag5G/ZJ6lUm9kSVw/JgRd2hNtSZOeQ+VaBniq\nifN07/Lcu2ND+eBsEXtLq3GVSnhlXM+Dew9WVjvEDsDpunrqTSYsNhuTdv6PY9pa5BKBPycM4oag\nAG7YvQcQcJTabf5N85TLOTFzJn6uLoz08eZ8YxPzQwIZ5NlxL6ZrwdcLkliTnk+t0cz9g0II9+i9\n5pIXLlzg/PnzDBkyBKVSyapVq/joo4+or6+npKQEvV7f4ThfX1/mz5+Pp6cnY8aMoUHfj8O7j0JZ\nDgQNQNPfl+/uHYLeZMVV3vuFJq+E2ABXYgNEoSMi8mPSpeDx8vJq10bi8OHDDmuPiEhPuPG7NPaW\n2UXyJ3nFZN48kYFeXQuXFk7V1DP+y31UG0zIBIGPpiVxS2TnAbhKmZRd88eQV9+Et4vcqX5NdxTr\nnGu9SAVwl8v5v9PZHNPaXVcmq403c/J5NiGe2/uF8e+cXEBAKZEyJziAIFclT8XF4a+0L253RIRd\nfJteQeMi54VxvWsBqa+v59ixY4SGhjJ+/Hh27drF008/TVlZGWVlZTQ0dNwSQa1WM3fuXHx9fUlK\nSmLmzJlUVFQwt6yWbVFxlOnBTSHl+Sl212RviZ195xrYeaaeISFKbhomNuwUuQJEl1afoEvBs27d\nOmbOnElKSgpRUVFkZGSQmprK9u3be2t+Itc5ZqvVIXYADBYrB8preix4/n3qvKPJpdlmY+WRc10K\nHrAHB0drLr38foCyzRO4YEMqkfBZYVG73yqd1cy/c3J4KCaakd7eFOl03BwSwkDN1YuRef9MIW+f\nLiRI5cLfxg28opiea43VaiU9PR2FQsG4ceMoLi4mJSWFjIwMampqqK2t7TCzUyaTMWXKFBISEvD1\n9WXhwoUYDAYKCwsZNmwYSUlKbphsJqu8kWgfJQFuPRevV8p3WbXMefUcLYWm/5ESysPTum+uKiLS\nIaJLq0/QpeCJiooiPT2d1NRU0tPTSU5OZtWqVWg0vWeaF7m+kUkkDPJy50SNve6MRIAh3j0XBuqL\nmlq6ya+8borJYuWeXUf4LL+UaA81G2ckM8DTjTvCw3gzJ5+D1VUgASNWFu7/obmDdkvPKxsVZj0P\nHs5EJZWyZ/IU7omMuOI5tWV3URV37TjqEFrnG3TsuXlsl2N+LLKzs6msrGT48OHIZDIeeeQRtm3b\nRnFxcaeub0EQSEhIYM6cOZhMJu644w4UCgU1NTUMHToUdZtAcU+ljHHh1/b35sO0avIqDcwdrGFo\nqD39+5OMGtp21fgovUYUPCKXj2jh6RN0u3p4enqyaNEiFi1a1BvzEfkJ8tUNI3n04Emq9EaWx0cw\n3K/n7oEVQ/qzraiCzMpaApUu/H1MQrtzsrUN/DenCF9XBUvjwrttJJqyPYMt58sAOF5dz9L/HWP3\njWNRyWTsmT6JcTu+J62mxnlQS08FSesvV5PFwnvnz5PkdeXF+NqSWVnr9PuYUdE7WZHn63RsySsj\nSOXC0Yp63jtTTIjalQ0zBhPr5WwxKy8vJzs7m9jYWGJjY1m7di2ffPIJWVlZVFdXYzabO7xHYGAg\nt912G01NTUyfPh1/f38aGxsZMGAA7u49s/pdTZ76vIiXt9qD0P/yTQn7V8SR2E9FuI+zNamf99Wz\nLuVXGPnicC1BnnIWjdA0d39v5UKVkWc2l3Iot4nYQBeeWxBAUoRYh0dE5EoRe2mJXHPC3VVsnD78\nssZ6uypIWzCBCp0Rb1c5RY16btuRQa3RxEMJkSR4uTNqy160Rrvb6/viSjbPGNHp9bKq6x1ip4Wi\nxtYgWrlEQrK3V3vB00KL8GnG3/Xqu5rGBXojFQQszW6gycHXPm35fJ2O5I/3UaVv7srdXFSooF7P\nbVuPknm73cJkNBpJS0vD19fXEafz61//mgMHDlBSUoLF0nELBLVaza233opUKmX48OHExcWh1+sJ\nDw93So7obT441GqF0ptsfHZES2I/FY/NDCS7zMD2U3UMCVHyr1uvTixWfoWR4c9nU9Vgf58emuHL\nv+5szd7TGa1MfjmH3Ap7ocLTJQZ2na7n9Mp4gjzlHV5T5DpAdGn1CUTBI9LnkQiCI4Zl1rcHOFNr\nr8a7o7iSZxJjHGIH4PPzpVisNqSdpKNX6A3t9t0cEei0vXrIYBrMZvZXVlHUqMdgbbOIW+3dzAUB\n5gUF8fuY9p3Sr5SRAZ58NXc4754pIljlwh9HXNvg4xcOneO/2cWtYucicmvt1aWPHDmCwWBgzJgx\n5OXlsXz5cvbs2UN2dnanFh2ZTMasWbMICQkhJiaGcePGYbFYiIiIwMfnx6s/U1BtRK2Q0M9bQUF1\naxuLMC+7qHCVS3j/V5FX/b5bDtc6xA7Af/5X7SR48iqMDrHTQp3OxtECnSh4rmdEl1afQBQ8ItcN\ndUaTQ+yAPWPKaHH+JemnVnYqdgBG+XuR6OvB4Up7m5QkXw9Wj3Zuvukul/PeqJEAFDQ2sa2kDA+5\nHIVEoNpoZLCnhuHeXu1cEVeTWf38mdXv2vZPstlsjP3kAAfKte2OCW2y7Wd72Ni7dy9Dhw7FYrHw\nxz/+kR07djjq7HQUkCyRSBgyZAjjxo1DrVYzY8YMVCoV/fv3x8/v6nRZvxysVhu/+E8eH6XXIBFA\npZAgYK98fPcYH3411ofsUj3urtJrIjCCL7pmsKfzT3CotxxvtZTqxlZRpJQLDAyxB9Sv+76K3acb\nSI5Q8vsb/JBcQp0pkR8RUfD0CXqU33n48GGio6MZMWIEa9as4dNPP73W8xIRaYeHQs7QNgHPSqmE\nu2NDWTUynnA3Jcm+Gj6b2bk7C+xp6/+7cSxvTx7KB1MTObBgfJfCpZ9axf3RkSwOD2VBWAi/6h/J\nCB/vayp22rKzoIrH95zhvZPFV+V6zx04S/Bb35P04X7WHb/AgdL2YkejkPH+zKE8lhDACq8mXhob\ny+jRo3nvvfdYsGABr7/+OocOHepU7AQFBXHvvfcyduxYxo8fz4033sigQYMYO3bsjyp2AL47WcdH\n6XZ3pdUGDXorNhvojDZmJ2hY+Fo+A546TegjWby6o+N2FxdT1WBm0sqzyJccYfxLZymv69hSBrBo\nhIaHZviidpEQE6Dgvw84VwH3UEr5bkUUY6JV+LpJGRGp5JtHoujno2DtzkqWbyjkwwNaHv2ohL9s\nKevkLiI/F1JSUvD29sbb25snnnii3fFly5bh7e1NdHQ0mzdv7vHxTZs2IZFIOvx35MiRbueVm5vL\n8OHtwxi6m+/lvMYWVq9ezcyZM7u8Vo8sPEuWLCE9PZ2lS5eyYsUKhg8fzsKFC3s0WRGRFmoMRp7I\nPMmFJh2/iAzlF1Ht4yI+KyhmV1klSd4a7u7fviXE1tmj+FNmNrVGMw/EhxOjceOxodE8NrTjFgJt\nqTYYSS0tJ1DpyqRQbxQSCXKpBIvNxj/PnuV0XR3zg4OZH9w3Gm1uza9gzmeZjofD/Dodz47uf9nX\n+yqvnD8fsld+Lmk08Ni+Mx2e12A0EVlTQIKvkiFTb2bz5s38+sEHOHHiBKWlpZhMHS/o7u7uTJ48\nGT8/P4YNG0ZiYiKRkZEE95H3E3C0d3DQ3MwTIPVkPV8csVv+rDb4/UdFLJ3kg0LW9XPhM5+W8L9s\nu+Vx37lGntxUwlu/6tfhuYIg8K87Q5zcWBczPFLF/mfbuzF3nW68aLuB57qcmUif4RrE8CQnJyOR\nSNi0aRM1NTUsWbIEgJUrVwJ2MbNz5042bdpERkaGo1REYmJit8dnzJhBamqq0/0yMjJYuXKlU12+\njtBqtSxbtqzdQ2F3872c19hCbm4uTzzxBDNmzOhybj12abUNLLzSwoOHDx8mPT0db29vcnNzWbRo\nEZGRdn95bm4umzdvJikpiczMTJYuXSqmwf9E+MXeDL4tsj+VfltURqDSlWlBrU/8/827wC/2pju2\nKw1GHhno/MMfqHLl3+OHdHuvN87l8dH5QsLVSv6aOBiLzcao73aR39gEUqsj2+pPCQlUG4388+xZ\nANbn5fH1+PHMCQq64td7pWzJqXCyhH+WU+YkeCxWG/tLtLhKJYwI7P47crLKufBfvcnS6rtq+W0q\nK8TdrGP48gfYs2cPt99+O8ePHycvLw+DwdBhOwi5XE5SUhKDBg0iLCyMiRMnEhMTQ2ho6OW87GvK\n7AQPxvVXsy+nWTw0v8FBGjkhF7mbrFacUtM7o6zO3OX21SI5QsnHB1stcmLm1nXEVRY8ubm5HD58\nmNzcXCIiIhz7lyxZ4hAD69evJzU1lalTpzJ16lTS0tJYt24da9eu7fa4RqNh6tSpTvd8+eWXWb9+\nfZfzevzxx1mzZg1gFyuXMt/LeY0ttNQK7I4eCZ7k5GSWL1+OVqvliSeeuOKsitTUVKdeXMuXL3f8\nERYvXkx6un3RGz58OEuWLHH08xK5vjlY4VyX5VBljZPg+bKw1On4hpzzfFdcjqdCzuqkBDKrtZzU\n1jMz2J+Rvp2L7q+KSlh26LBju0xnYF5IoF3sCDan1PLnsrLwVTinHG8vK+sTgqe/xrkdRLSmdYEz\nW63M25LJd+erAPjN0H68MsUei/TXjDxWZ+ThoZDx5vQEJofag4MHert1frM6LVQW4R0WwUsDY3jo\noYfIyMjg9OnT6PX6DoOSJRIJ4eHhTJgwgcDAQJKSkhg9ejTh4VenO/21wEUuYefvY9mf04i7q4S8\nSiOfpNewKaOGJz4txk8jo6LWAgj8eUFgj6o6j49Rs+VwLVabvc7UfROuTSX6P8zyo0FvZVdzDM9L\niwK7HyTSN7jKMTxarZbk5GQnIaDRaNBq7YI4MzMTwEm0zJgxg1WrVvXo+MVkZmZSU1PTrWfnqaee\n4oEHHmDt2rVOFqLu5ns5r7GF1atX4+vry2233dZtUeQeCZ5169bxxhtvANC/f/8uTVA9vV5HlpvM\nzEwn65FGo2lnVhO5fhnn7+MQNQIw1s95YYjzcF6QT2rrOaG1FyzcVVpBhcGevfKnY6fZMWM8EwN8\nO7xPZrXzFyKjRssvumjxUGl0zooZ1Ecsir9LCie3Vsd35ytJ8HHjtamtndb3FNU4xA7Aq0cLeHpk\nFPl1OlbstbuqKnRGbvriMNXLpyGVCEwN8yFE7UJRoz1Tzd9VjtxmpuhUFolR/Xj31oVsWPs67316\ngNOnT9PQ0IDB0D6rDcDPz49Ro0YRGRlJbGwsc+fOdVhpf0zyKvTMfy2H89VGBoUo+XR5f4I0zpYb\nhUzC5AH2mj8R3goWr83D1mziqmgw8887Qpka586FGiNfH6vlhgQPZNKOn9Df2VvNox+VYLOBQi7w\n5j1h3Jx8bdLspRKBPy0URc51yVW28CQlJZGWlua0b926dQ6rSm5ubjvDRGRkpKMYaHfHL2bJkiUO\ny01XaDQaNBpNO2tLd/PtiJ6Myc3NZeXKlU6NzruiR4InLy8PQRBYu3YtTzzxBPn5+U6q61J5/PHH\niYyMdKjJ1atXOyZ/8R/B29u7XT8vkeuT98cn8+yRU1xo0nFHZCiTAp0Fy5ODBlCmN7CrrBJvhZx9\nbSxCLWIH7C0mNp4v6lTwTPT3bQ7NsFtzVAqBsX4+LO4XwicFhciQYMbZNTPIwwNXqZR5QUH86go+\n21cTmUTC69MGdnjs4uKKAiCXCFxocG7MWWcyc6KqnqF+HqjkUn5YPJo1mXlYrDZmS2vxd5URlnIf\nr/3fX3loyeucO3fOUTjQeJEQBFAqlQwaNIikpCRCQkJISUkhLi7uqr3mK8FssTFy5Wkqm9O+D+Q2\ncvv6XHY9OqDTMU9sKmn38N3fX8Ezn5ew5Yi94OPMBHe+ebh/h9l/r6RWNmezCRhNkJan45fjup/r\nhSojW4/VU15nJj1fh4+blBcXBRKgEVPPRS4NrVbLkiVL+PTTT8nIyADsDb47Cj1psY50d7wtLQHM\nF7u4ruZ8L3dMSkoKa9as6bEe6ZHgSUlJcfjupk+fTkpKSjvldSksWbKEnJwcVq1ahaenJ9OnT8fD\nw0Pswv4Tx0Mh558jO4+/UUglvD7KLmyz6+oZ+tVO9Ba7MNHIZdSaWt0q/dSdd/+eHODH0wkDeOHM\nSRAgX9fI8NRUzs6ZzVujknGRSLhp/z6+LbVbmyTAK4mJTPa/tmngV5NxwV7clxDCW1lFCMDqCbH4\nKBVMCG5vXcgor2Oonz27LcxdyR/CVRQWFjJ48GBef/11Up98kuLiYoqKijAajR1adWQyGWFhYYwd\nO5bw8HDmzp3L2LF9q91FRYPZIXZaOFPWcWd2ndFKnc5CxnmdvXVIs34M1sgJ9VI4xA7Atqx63t1f\nzbv7qqnXW3lmfgALkuzvs5faufWJ90XbHZFXYWTEc2ed6vEAHLug59DzvdvwVaSXuEZp6ampqaSk\npODr60tGRobDMODt7d3hetpiUOjueFtefvllHnjgAad9mzZtYvHixYDd63O2OQbycufb1fU6G/PG\nG28gCAL33Xdfj+4NPRQ83t7ejsju6dOnOywyl4NWq2XlypWOf2vWrGHGjBmcO3cOb2/vdgqzKxH0\n/PPPO/4/efJkJk+efNnzEukYg8XCnzOzydLWMyvUn+XxEb1y31gPd7ZPH8fa7Hw8FXKWRIfz27Rj\nnKqtZ3ZIAL+L7zorK726xqkicrXJSHp1NTMD7S6Bz8aOZfWZM+Q1NrIoNPS6Ep2XG0UAACAASURB\nVDtg/7vMjvRlTLCGOeF+BLm58uz+s7x5ohC5RMDUJto2xtMe+1NbW8vx48cJDw/n5MmT/OUvf6G6\nupq8vDz0ej2NjY3t7iOVSvHw8GDEiBEMGjSISZMmceONN17b12aysn5PJTVNFm5I8OCrY7VIJQK/\nmeKHj1vnP1n+7jKCNXKKa1uzyOYObu+e3Haijltez6PBYLUXGrQJjujkYq2J/x6ocapDBPDge4Xo\nTfYdN7+az6e/juDmZE9e+UUIc/+eR26Fkclxah6Z1X3a/ScHte3EDkBarg6zxdap+0zkytm1axe7\ndu3q/RtfqkvrQiYUZnZ5SotIePzxx3n55ZedjkVFRbVbS3Nzcx1Wne6Ot913+PBhhxhpYdGiReTm\n5gI9T2Lqar6dXa+rMZmZmWRmZiKROFu7JRIJmZmZHXqFBFtHhTQuIiUlhVGjRjFt2jRSU1NJS0u7\n7EDizZs34+npybRp0xz7li9fzrJly4DWFPgWOlOigiB0WANE5Ory633Hef1UvmP7vUmJ3BnTmn3T\nZDbjIpF2Wezvx+BXP6Tz9oW81p6fwJlZs4i5Cv2azFYrVXoTfkoFkh7W4zlUpuXTnDLC3V1ZmtDP\n6f2y2mwcr6rHQyEj0qP7zBuTxcrUzw6xt8ReT+amSH/uiw/lxi9b6mPYcJVJiNKoeHBIGA8MDuPQ\noUOo1WpycnJYv3499fX15Obm0tDQQENDQ7uWEIIg4OLiQkJCAqNHjyYpKYm7774bqbR7C8aVMv/V\nc3x1zJ4eLmnVIgwKdiX96Thcuggkzq80sOyD8+RVGrlxqCerF4a0K84XvuIEBdWtoijaX8G5i6ob\nPzM3gJe+KbPf24I9m60NE2PU7H6y1RqjN1pxVfSorBlv7a7m/rcK2+0fHqkk7U+ihac36Y11RBAE\n+N0PV3aRf4xpN0+JRMLq1at59NFHOxwikUjYvn27Y61tsZL8+9//7tFxsIeb7Nixg+++++6SpvvG\nG2/wxhtvOK3l3c23s9fQ2Zja2lry8vIc22vXriUjI4P169d3GgLTIwvPxo0bWbNmDS+//DJRUVFX\nlDUVFRVFamqqk+Dx9PR0WJDakpub221evci1ZX+5s9jcV1bNnTGh2Gw27v/hMP85V4CbTMZ/JyQz\nP+zHz2xqYVXiYNKqazjRoEUpk/KPYcOuitg5U9PAzC/SKKjXM9DbjdSbRhCkdu1yTEZ5LRM2H8DY\nvHIfr2rg9cn2Jqhmq5V5X2XwXUElArBq7ABWJHWdXvlCWo5D7ABsyStnmG/bDvQCNptA1i/Hc+rU\nKQ4cOIDJZOKFF16gsbGRwsJCampqqKur67CmjkwmIzg4mGnTppGYmMhtt93WawUDz1caHWIHnNPC\nTxTrOVdhICG4c3dmhK8L3z3ccbuPrSdquXVdHnV6a3P9HbuI8VRdJOJscHOiJ7EBrtz1RkHrfqH1\n+MVVmHsqdgDumeDFrlMNfHhAi0YppX+AgsGhrrwoZl2J9JBNmzYB9kDjixN7pk+fDsDSpUt5/PHH\n2bhxIxkZGWzevNmRndWT4wDbt2/vsIDgtZjvpY7RaDROwiYqKorc3Nwu4327FDxr1qxhxYoVjuqG\nLZHXTz75ZDvzUk9JTEwkNzeX9evXO6w3t912m+P4+vXrWbNmDVFRUaSlpXWb9y9ybRnl58WRqtYF\naJS/vTP4l4Wl/OecfTFoMJv55d4MtLfPazd+W2E5a47loJZLWTkinjjP3umI7efqwvG5M7DabD22\nwvSEx/efoaDeHhdysrqBF9JzeG1S+w7uNpuN7woq0ZktHK6sc4gdgM9yyxyC55vzFXxXUGkfAzzx\nwxkeGhKOq6xjS8qp6gZeOJTj5K6TCgJzIvz4R2YBtUZ7nNNNvjL27NmDi4sLK1euRKfTUVlZSXl5\nOVVVVZ3G6ahUKsaNG8eUKVOYN28e8fHx7c67VpTVmZiwpuNiiABqF4lTxtXaXRWs3V2Jn7uM1+4I\nIzbQFZ3RyhOfFnH0go7p8e48PTfQ8RS/4LXc1sKDAs31hwSOFurb1h8k2FPOoFBXMvJ1ON7oNk/X\n0f4K1iy+/GKKUonAu8vCMFmsfHywjupcHTMS3AkUe2X9dLnKWVotlo2UlBSn/YIgOKy1a9euZfny\n5SQnJ+Pj48OmTZucxEB3xwF27NjBk08+ecnzEwTBqfBgT+Z7Oa+xq3t2OK+uXFqbN2/mlltu4bXX\nXiMw0Pnp45Zbbunywtca0aXVO+jMFv6YcYasmnpmhfrx20F20ftuTgF372t9GpAKAvpfzEfWxp+a\nU9dIwuZdGJoDj8PUruTeOs3pnOuNGVsOkXqhNR38rgEhvDOjfSD2XduP8t4ZezuI/h5Kcup0jmPj\ng7zYc8toAL7IK+Omr1vfR4kAjctmdip4vs2vYM6WDKC1WOBLY2J5ckR/smsa+fBEAbr809w8IJSX\nX3qRpqYmGhoaKCkpobq6mrq6unbXlMlkCIJAfHw8KSkpTJ06lVGjRvWK+6qF3Wfq2fBDFRv2O1sU\n7x3rxcE8HTKpwF8XhTBjoN2StSe7gYlrsh3nxQe5cvLPA/n1BwW8vqvSsf9ft4Xy0DR/SrRGgh89\n4SQUWzrCt90WBFDJBcbFuPHKHaHM/lueo5nnU/P8eWq+P2qXS39fdmTVU9tkZeZgN9xcpezLbmT8\nCzlO55T8K14UPb1Mr7m0fnvgyi7yr9HiencV6NLC0yJq/v73v3Pu3LlemZBI30Ipk7JmVPvU6Pmh\ngcR6uJFdZ6/e+9u4qHZC5mRNvUPsAFxo1FOhNxKk6toF1Jd5dFgke4prMFisuMul/HZo+yJ7pY0G\nh9gByKnTcVtMIGnldYS7K3lr6iDHsTnhftzQz9fh0lo5ZkCnYgdgZICGYLULxY0GsNkYEaDh8eFR\n2Gw2GvLOMF2i419ffcSz79VgsVgoLCxEq9VSXl7e7lqurq6YTCY8PT1ZunQpM2bMYNCgQfj6dpzu\nf61Y810Zj20uarc/0EPGf+7puLbPqVLn7KszpXqsVhuZBTqn/Rnn7Z3eXeWSDsRO+22bDRqNNrZl\n1bPq2zLSn49he1YDAR4yJsV1XLjRZLax+ptyzpYamZ/owS0jnAOlf/NOEa+l2kXykDBX9v2x4/Yg\n4nL2E+YatJYQuXR6FMMzbdo0hg8fzowZM7DZbAiCcNkuLZGfBl4uCg7NmcR3xeX4uCicKia3kOir\nwUMuo645nTze0w1/V5fenuoVUaM3caSqligPFeHuKm4I9+P47ePJqm4g2c+DMPf28SQquQSZRMDc\nxo318NAIRgd6tTtXJpHwzfzhnQYt59Y28d6pYjxdZCwbHIaPUsEPi0ezPqsQlUzCr4eEcz4/n4KC\nAt5++22KiopQKpUUFhai1+spKChoZ/5VKBSOFhF33XUXd9xxB2FhYQwY0Hm9mmvJKzudxZgA+LjJ\n+OD+zgsZTo51Q6WQ0GS0v45ZgzyQSAQmD3DjQG5rtllLgUEvtYwXFwTx9OclYIN5Qz3YdqIBo6Vz\nmVFYY8JLLWPxyPapurnlBp74uJQ6nQWZVODro/YCme/sreGrP0Qwd5jdEtVksDrEDthTz7ceq+eW\nERoWj9TwySF7+vsT8/yuSXd2ERGRVnqUpdUSPNTWPya6tER6Qkalln9l5aGSSnk2MZbgbgJ8+xL5\ndU2M/+wHihr1uEglbLwhifkRAT0a+/bJQpbvOoHRamNFYiSrx116cb7iBj3D/rufCp3dpTIr3Jdv\nF7QGEGq1Wo4dO8Z7771Hfn4+vr6+HD9+HEEQOHfuHHp9+xo0LVadESNG8Pzzz+Ph4cHIkSN71X11\nMUP/fIpjha2WmX/dFspDU7svE5Bxvol3f6jCz03GH2YEoHKRYLHa+Ot3ZRxpjuH51XgfanUWPFX2\nZ7vCaiM6kxUPVymBD59obR4qwdkCBLxyRyi/mdZeyNtsNmJXnOFcWXNm10Xj/jDLl7/dYY/xMZlt\neCw94UhpB/jusUhmDnbHZrNx/IIeF7nAgKDr53vxU6LXXFq/OXhlF3l1lLjeXQV6ZOFZtGjRtZ6H\nSB8hv76JxTszOKWtZ25YAO9MGobLFSyGyb6evDOpfQbe9cCrx/MparSLBoPFyvNp2T0WPPcODOUX\nA4IxWa2o5T3u0evE7qJqh9gB2Hq+kgajGaVU4NChQ7z77rvk5OQQFBRERUUFNTU1FBUVdVgt1d3d\nncbGRtzc3Fi/fj1+fn7ExcXh4+NzWXO7mrx5Vz8WvJ5LsdbEgmEalk3smUstOVxFcrizRUwqEXh8\ntj3e8HylkbinTpNdamBQiCvbHu1PqLe9b9qWw1po+Vg398C6uC/qtPiOA+xrm6ytYqd5fFvR4+7a\n6tqVywQ2LA3jnjcuoDfZWDrFm5mD7dcVBIEh/TrPOBP5CSG6tPoEXf4Sr1+/3tHmfePGjd02DhO5\n/lm+7xhpFfYF8+PcYhJ9NDw+tOsifz3FZrOx/OARNuQWEKR05eMJIxjVRRPQH5uL2zdoDSaytQ3E\nenbRhPOi8Rdf41K42L0VoFKQn32a9evXk5WVRXh4OLW1tWi1WiorKykqah8Ho1KpMBqNGI1GVq1a\nxejRo/H39yc2tuPU7R+DERFqilYPxmi2opBdvYD2JzcVk11qz0Y7UaTnj5+VsP7efgCsbRPYjAAT\nB7hR02Dh6AW7wB0XoyYmoGP3q6dayuAwV45faGNBa/Pw3WhwVk63jvbk5uEeGEw23JU/niVN5EdE\nNM70Cbr8dVm1ahU1NTVkZ2fz0ksv9dacRH5Eihud3SDFTR2X5r8cPsov5I1z+RitVs43NnHnvvTu\nB10BJ6vr2X6hgnpj+07fPeH3QyNJaNNhPLdOR+Ine0kr67zD79VkdJAn/5oUT6SHkgSZgRuOfsHv\nfvc7tFotZrOZzMxM9Ho9hw8f7lDsKJVKDAYDkydPZteuXYwfP56xY8f2KbHTlqspdgBqdc7Co67N\n9sW1d+KDXPnfkzG8/stQ3rgnjO2P9u+y4vG2xyJZPtWbO8Z4MjzS2UoT1mxFaotCJhHFjojIj0yX\nFh5PT09H91ORnwf3xIbxyMGTALhIJdzeP+SKrlfcpEMlk+KpUFCmd6790rJ9tq6BNaeyqdQbmRsS\nyH3REVd0T4B1Jwp48H8nsNogRqNi/y1j8VW2X4i6wk/pQmbKBJI37uVEtT0otclsYcOZQkYEXJuO\n2Bdz/wB/yje/yYEDByA4GBcXFzIyMggICCA7O5umpqZ2Y1QqFQaDAY1Gw/vvv4+LiwuxsbE9LgH/\nU+HhGb6knqzHaLahVAj8Znqrq2zVohCOXtBzqkRPUriS524MxEMp5YGpPXOnBXrK+fe99orj+RVG\nbn+9gOxSAzcmevDg9B/fTSjSxxBdWn2CywsuEPnJ8ofB/YnzdONgeQ2FjXq+PF9KpJuKANWlZVdZ\nbTbu3JfOh/mFyASBdaOGsbBfMC+dOOPofL40OoJXz+TwUPpRx7jPCotRyaTcHhF2Ra/j+bSzjiq9\nZ2ubePdMIX8Y1nUF445QSCWEqF0dggfAx/XaZ9PYbDZWr17Nzp07CQ4ORqPRkJaWRmhoKJWVlWRl\nZbWfq0KBzWbDZrPxzDPPMG3aNAICAvqsRedaM3OQB0f/PICjBTqSI1REt3FR9fNRcPKFeBoNlk7r\n6qzfWc0H+2tICHFlzR1BqFw6tkBF+Cn44bmr4/YV+YkiurT6BF1maUkkEkd15dzcXMf/BUHocXfU\na4WYpXXtaDCZGfLpbvLq7daDARo1R26ehFwiIbehEV8XBV4uXVtLvi4sZd6u1v4xComEhtvmU6rT\n81VRKcFKV+aFBKH6eAvGi6JFH4yJ4rWRnZcH7wkR737P+frWzJ9XJw7k14MjLutaZ7WN3PhNGme0\njUwL9eWz2cm4XWYgck9Yu3YtX3zxBX5+fuh0Ok6dOoW/vz+lpaWcPn3akVLeFhcX+2I+ZswYnnvu\nOVxdXRk5cmS7xnoiHdOgt7D9eAOeKilTEtx4eUs5T31S5ghGHh6pJO0voqj5qdFrWVrLrtB9v264\nuN5dBbr81e6qU7nIT5cTNfUOsQNwpraRo9V1/D7zGD9UVKOUSvlk4gjmhbb2zsrS1rH2bB4echkr\nBsZwtKbW6ZomqxWz1UaYWsUDsXbhbLF2/AUe6du+Xs2l8vrEBFK+O0yT2cKkYG9+FX/5FqMYTzWn\n7piM2Wp1Kq74aU4p/ziah4dCxt/GxTPAq2fBzJ2xceNGPvjgA5RKJe7u7hw/fhw3Nzd8fX3Zu3cv\nRqOx3RiFQoEgCAQFBfHss88SGxtLQkICXl5X/h7+XKjXWRj7fA4nCu0u1uhABXVNFqfMq/Q8HQaT\ntcvGpSIinSJqlT5BtzE8Ij8/wt2UuEol6JurJLvJpewsK+eHCrsA1lksPHTomEPwFDbqGL/tf2iN\n9kaUnxWUkF3daA+Jb14fHk+IRXlRBWGpRGB14iB+l3EMAC+FnKcT4rg7qn314ktlToQ/pfdOo1pv\nIszd9ar002ordk5U1XPrtsOO4oInaxrIuXNyt71cOmL79u28+eabmM1mFAoFOTk5uLi4EBgYyL59\n+zptByGVSvHw8ODmm2/mlltuITIykpgYsdv2pfLYh6UOsYOAc8p5MxqVBBe5hBMX9GgbLYyMVl71\nIGsREZFrixjDI9KOIJUrm6cP55n000gEgVUj4jl8UW2Xtm6oA5XVDrEDcKqu3h6kZxHACv3UKl5O\nbN9gE+DhuGhuDA1CazQx2NPjqvbZclfIcFdcm494VnW9UyXlvDoddUYzGpeex/fs3buX9evXU1dX\nh1KppKSkBLPZjI+PD1lZWVy4cKHdmJa+VyqViqSkJO69915iY2MZMWKE6L66DP6xtZK1O6vbFQ8E\nHE/lHioJ2x+P5MXPy3nmE3tV6DExSnY+HXlJXdJFfsaIQct9AlHwiHTInLAA5oS1Ftkb5uvB+nP5\nZNc1IBUEXkxs7a81wMMNqSBgafYxa+Qyak0WQAAbJGi67pAe6aa+Jq/hWjIqwBM3uZQGk71tw3B/\nTY/FTlpaGv/5z3+orKxEJpOh1WopLS3Fzc2NhoYGDh482C5ORxAE5HI5MpmMiIgIFi1axNixYxk5\ncqTovuqG4xf0NOgtjIhStUs1//ZofSejWhkY7EKIt5znNrW2wPjhrI4vMutZPFrMYBXpAaJLq08g\nCh6RHuHj4kLGnClkVGsJVroS42GPVynR6Xgw7QgKKbhIZAzx1PDP4UN480wBX1woJdZDzfpxVxaA\n3BeJ8FDx/YJRrMu6gIdcxlPDO24I2ZajR4/yzjvvUFZWBthj5PR6PS4uLqhUKvbv398uzVwikTiy\nrwIDA5k0aRKTJk1i4sSJREeLQbTd8czGUl7cUgHAtAQ1366IRC6zi56cMgNZhc51ppIiXKmst1BQ\n2Wqx1DZZif1DNpaLYsUVXdTpERFxQrTw9AlEwfMzxmqzIUCP407c5DImBTjXKXk4/Rh7K+zNEXUW\nKxMDfBjm7cmrYzx5dcyQqz3lq8bGcyW8nJGDSi7l7+PiL6uuznB/T4b7dz/u5MmTvPvuu1RUVKDX\n6ykqKsJisSCVStFoNBw5coSSkpJ241xdXbFarbi5uZGUlMT06dNJSkpiypQpovuqB9TrLA6xA7Aj\nq5HtJ+qZ09zY8/ZXL1BU3VqU8oYhbnzxSDilWjMT/pxLQZUJpUJAAjQanB/Rb0x2Z35y15ZLERGR\nvoUoeK5TTtTUYbBYSfLRXFag7OpjZ3k28wxyicDrY4ZwV8zlZTEV65yfkIuuYmXma8Xpmgbu2H7E\nEYMz9+t0Ltw95Yp6hnVEdnY2GzZsQK/XU15eTn5+viOrSqVSUVxczO7du9uNUygUSCQSZDIZ0dHR\nzJ49m+joaBYuXCgmElwCEkGw98hqo1X+9lUldU1WbhvrSU65c3BycY2JhzaU8KdF/hxfGUNWkZ5w\nXwWL/3kBaD33nome/GdZyGV970R+pogurT6BKHiuQx45eIL/y8oFYEG/QDZPG3FJWUhZNXU8nn4K\nAKMV7t93hLlhAfi4XlolYoC5wYHsa7bwyASBO66wYGBvcK620SnguEJnpEpvIlh9dQRPTk4Ob7/9\nNmB3Wx0+fBi1Wo2bmxsGgwGbzUZqamq7OB2ZTOYQRIGBgYwfP56hQ4cyceJEkpOTr8rcfk4oZAJ/\nmO3L376txGYDrLDzRCM7TzThKpewcLgHb+6qcZx/vMDA8QIjabk6Ml+KZkyMPbbsxVsDmP/X89Tr\nrET4yflzir8odkQuDdGl1ScQBc91wA8V1fxiTzplegN3RobyxqnW7J3PC0rZW1bNxMCelbM/Uq3l\nvZxC2rZ4Nllt1BpNlyx4Chqa+L/juWCWgGBjblgQ04P8L+kaPwYj/T3xUyocnciT/DwIvMRK0h2R\nn5/Phg0bkMvlGAwGduzYgUajwd/fn9raWhQKBenp6TQ0NACtRc/kcjkuLi6YzWY8PT0ZMGAAs2bN\nIiAggLvuuktcXC+DRr2VaS/kcfCcDkECMgmYrdDymd+Z1cDa+0JIilSy8UAt359sdBw7nK+nUW9F\n3dz1fFK8mty/x1JQZWJAkItjv4hIjxEtPH0CUfBcB9z2vzQKGu1Vg984ex4EwemJoaexk9uLy5m7\n4wdMVhtIAQuAwOxQfyLdVd2Mbs/XhWVUGozYs7EEvr1Q0e2Y3qRCZ+BvR/LQm638ZnA40Z72J3Z/\nlQv7Fo5h7YkCVHIpfxgaeUV1ei5cuMA777yDXC5HrVbz4YcfolQqCQ8Pp7LS3pU7Pz/fkWbeInQE\nQUCtVmM2m3F1dSUoKIh58+YRFBTEnDlz6N+/+0BokY55b4+Wg+fs3xmbTcDcnDTYsvAkRiiRSgRu\nHa3h2U/KaZuXHh/cXtT4esjw9RB/LkVErmfEb3Afx2azUXJRnMzcMH++LrCLi1/2D2VcQHvrTsuC\n2pa3zp63i51mBvm488zgAdwSEeR0bpXeSE59IwM0bmgUnadaB6tcnbY1ChmPHjrBKD8vUiKvrOno\nlWK2Wpm25RDHq+xpxx+eLSbr9omOBqIxnmr+Nj7+iu5RVFTE+++/j9VqJTIykn/84x8IgkB0dDSl\npaUYjUYMBgNfffVVu7Fubm5YLBZkMhmhoaEkJCQwZcoUgoODWbBggWjV6QHF1SbuWVtISY2ZeyZ5\n8ci81oD6TsvwC3ZX17RBdvF74oKBqgaL0ymv3BN4zeYs8jNFdGn1CUTB08cRBIFfRYezLjsfAD9X\nBWvHDMM62obBYiVG49zOILu2npu/P8Sp2nriNW5smTqa6OYUcn9XZ7fNUG8Pbo1yFiYHy2uY+d0P\n1JlMaBRy9s+bwEDPjrNRbuoXxCMJ/VmffR6lVEqZzsDfsnIAWGswsSwu4iq8A5dHYYPeIXYAynVG\nMitqmdnP74qvXVRUxIcffojRaGTUqFE899xz1NfXExcXR1VVFY2NjcjlcrZu3douTsfFxQWFQoHV\naiU4OBhfX19uvvlmPD09uemmmwgMFBfbnpL8VA6ltfYsq0c/KOWHs02suiOA/gEu3DnBkze/ryEz\nr30QvdFs4+vMeh6Y6UN0oAK1i4RGg/3v5OsuZWT/S7d2ioh0iejS6hN02Ty0L3O9Ng9Nr9AiCJDs\n2322zbbCcrRGEzeE+LG1uJxyvYEF/YLYU1bF0Zo6pgb6ckNIa3HA4iYdsZ+l0mhufWKdEeTHtpnj\nAKg2GLn5+4PsLa8i2duTz6eOIlildLrn9K372VFS7rDw+7q4kDF/Ev3cul4Ebt5xkM8LSh3bs0P8\n+WbmmG5f47VCZ7YQ9s5OqvT2eioKiYRTd0wkSnP5i1lxcTEbN26ksbGR2bNns2LFCoqLixk0aBCN\njY1YLBYEQWDv3r2OOJ0WZDKZI2jZ29ubgIAAhgwZwuTJkwkNDWXq1KmiVacb3kitZs1XlWhUEn47\ny4e7Xy9qVyHZUyXhv78JY0t6Pe6uEmoazHx1uJ6y+jZWHBvcO8mL/zxgF/u7Tjbw508rkEsFXro1\ngOQo5++EyE+XXmse+sujV3aR94Zel+tdX0O08PQid+7K4IOcIgDuiQnj7YmJnZ770A/HefVkHgDx\nnm4cmD8BD4Wcv2adZUVGFgCrs87y2eSRLOgXDMD24gonsQNQ1sYd5u2iYPesCR26u1o4qa2zLyLN\n8Q6VBgPDtnzPofmTHJaijoi96FhMF+f2BkqZlG/njeCRfafQW6w8Mzz6ssVOSUkJn332GVqtlrlz\n5/Liiy+yYcMGhgwZgoeHB1VVVahUKo4dO0ZhYSHQWttIIpGgVquxWCxIJBKGDBmCWq1m4cKF+Pr6\nMmHCBIKDg6/a6/6p8lVGHcveLHZs/+bt9nWLwF4kcMFfz2M0N3++beD4QEuaFwyrQJBnq6t28kA3\nJg/8cT+vIiIi1x5R8PQSx6vrHGIHYMPZCzw2JJr4DtxFBouF15rFDsApbQPfXCjntv4h/OdsgdO5\nn18ocQieUHX7J9NlAyLb7etM7DSazJQY9K1PzQJghRqjmQ9zi3h22IBOX99ziQMo0xvYV1bNKD8v\nXky+sviYq8GIAE/+t/DyrUylpaV8+eWXlJeXM3v2bDZs2MDixYuJiYkhKSmJ0tJSPD09qaurY+fO\nnU5jJRIJrq6uSKVSbDYb0dHReHh4MHjwYKZOnUpQUBCjR48WCwj2gFe2VvHwBmeBU6+zMilOxe5T\nTa0CHcAGRnObEwWw56QLCFYBGzAw1IXfzfXulbmLiACiS6uPIAqeXkImaS8yZJ0ID7lEgrpNnyYA\nTxc5b505zyltvaMDOUC0e+uT6bQgP54fGsc/T+Ugl0h4dkgsD8ZFdTonq81GcZMeHxcFSpnUXjSw\nNVvdCR+XrlPWVTIZGyYkdXnO9UJpaSlbt26lqKiIadOmsW/fPm6//XYCAgIYMWIExcXFuLi4IAgC\nX331FRZL699JJpMhkUgc7iuNRsPAgQNxcXFh0aJFBAQEEB8fT1hY369XYQmrMwAAIABJREFU1Bew\nWG38/t2S9uuFDSL9FfxpcQAL1hSg1dn/Bl4qKdpG60Xn2z/Qd4z34I+L/IjwV6CQie5DkV5EDFru\nE4iCp5eI93Tn4YQo/tlcMPCRQf3bBRy3IBEE3p2YxC93Z9JotrAsLpxZof7M+Ha/vQM5NhAgyk3N\nYwkxTmOfGxbHc8Piup1PndHEjK0/cKiyBjeZjC+mj2KMvxdeCjk1puY+Qs2rxqKIYJYMCL/s1369\nUFZWRmpqKrm5uUycOBFXV1fuu+8+1Go1o0ePpqioCJPJhEwmY+vWrY6+V4IgIAgCUqkUNzc3zGYz\ngiAwcuRIlEolAwYMYOHChQiCwOjRo5Fe5YrOP3Uu7mHV8rncsKuWQWFKMlb25+9fVyGTwqPzfdmV\n1chr26rxdpPyy/GeHDirI8xXzkOzvB19tEREehXRwtMnEIOWe5n8+iYEILwHdW8sVhsGqwWVzK5L\n799zhLeyW11aKwb3Z/XIhMuax8tHz/JUxkmHNcdNJqXqjjmU6vQ8kpZFvcnEC4nxDPPRIPuJu13K\nysrYvXs3Z86cYdSoUchkMh599FHMZjNDhw6loqICd3d3mpqaOHTokKO2TtvCga6urshkMiwWC1FR\nUY4aOnfeeSe+vr6EhYURHv7TF409pbzWzIr3yiiuNnP3ZA13Tuw8iD/6t9nklBlb6+i0icsZFObC\n8b+J9YpELo9eC1q+/fiVXeTDwR3OMyUlhR07dgCwdOlSVq5c6XR82bJlbNy4EW9vb1atWsUtt9zS\no+ObNm1i8eLFHU4lMzOTYcM6bwjd2TW1Wi1Llixhx44deHt78/jjj7NkyZJuX3p3r6G796AtP4qF\nx8vLi9raWqd9q1ev5tFHHyU3N5fNmzeTlJREZmYmS5cuRaPR/BjTvCZEdCF06owm/pWVR6PZzJIB\n4UR5qFFJWv9Eq0cOpKRJT3qllomBPjyX2HlMTXfUm0xO2w1mC18XlnJzeDAbp4y47OteT5SXl7Nv\n3z6ysrIYNmwYCxYsYNmyZdTW1pKYmEhVVRU6nQ6lUsmxY8fIzs4GWmOgZDIZMpkMtVqNXq/Hy8uL\noUOHIpVKiYmJ4a677qKqqsohokRaWfx/hew+abeQ7TjRSKiPnMkJ6g7P/fbJcBb89QL55SYGBCk4\nnG9wHAv2Ft9XkZ8nycnJSCQSNm3aRE1NjUM8tCz4y5YtY+fOnWzatImMjAxSUlLIyMggMTGx2+Mz\nZswgNTXV6X4ZGRmsXLmyW7HT2TVTUlLQarXs3LmTtLQ0li1bRlRUFNOmTbus6/XkPbiYXrfw1NbW\nkpGRwdSpUx373nzzTe6//34Ahg8fTnp6uuPcJUuW8Mknn7S7zvVq4ekMm83G2C/3cqDC3tvH31XB\n8YVT8FdeecuDjjhX10DM5h1O+z6fOpKbwoOuyf36EuXl5Rw8eJDjx48zcOBAhg0bxpIlSygsLHSk\nmCuVSmQyGfn5+aSlpTky22w2GwqFPZ7Jw8MDo9GIQqFg6NChhIaGYjKZePDBBx39sKKiOo+h+rlS\nXG0ibPlZp6aef7nVj2cWdV8jyWCycvdrxXyd2UBciIJPfh9KpP+l94ATEYFetPDcdoUWno+cLTy5\nublER0eTm5tLREQEAJs3b2bJkiVUV1cD9sSJ1NRUx1q7ePFivL29Wbt2bY+OX8yMGTN44IEHWLhw\nYafT7OqaEonEyTq0fPlyqqurO1zfe3K9nrwH7a7X6Z2uIW3FzqZNmxwKLzMzE2/v1uwJjUbTTmX+\nVCnXGxxix75t5EB5TRcj2mO2Wsmrb6TJbO723GgPN15Kjnd8AOaGBjA3LKDLMdc7FRUVfPvtt7z1\n1lvo9Xruuusu3nvvPebNm4dSqaR///5YLBb8/f2prq5my5YtHDp0yPFDI5VKcXFxQalUolarMZlM\nxMTEMHfuXAIDA4mLi2PVqlVYrVZGjBghip1OeO7jSi6qx8jBs7oejXWRS/jod6HUvxtH2stRotgR\nuT6wXeG/i9BqtSQnJzsWerCvl1qtFrCvpeC81ra12nR3/P/Ze/O4qO57//95zuzAMDDsOwyLoIIC\n7itRSUxTTRqjadPbpL1NYnJz2297u5j2tv12ub1Z7PLtr2maNGlzc9PctlHTa9tsdSOauLMogiI6\n7MjOwMDsM+f3x8CwiEuqAdTzfDxIOOdz5jPnfGTOec17HU9ZWRm9vb2XFTuXm3PYozPaW3O58ihX\nc45XWoOJmHR78OgLtlgs9Pb2kpbmT502m82EhY315RuNRioqKi5rRrsZCFeridSq6XL4G1qKApg+\nQn+rToeTVe9+yCmLlQiNmrfXLGJBVPhlX/OtvCw+l56E1e1hhiHkmvpJTWc6OzspLy+nrKyMlJQU\nHnroIb7zne/w4x//mJiYGFJSUlCr1RiNRhobG9m7d2/gA6pQKPD5fGg0GpRKZeADFR8fz+zZs4mO\njkaSJLZs2UJfXx8Oh4Ply5dP8RVPb/rt3ov2HTdfneCRkbkhuc5ZWgUFBRw7dmzMvhdffJHCwkJg\n4mdpWlpawPJxpfHxPPLII2zduvWy53S5OQ0GA2vWrGHLli288cYbnD9/nm3btvHyyy//Q/PBlddg\nIqbUAf7000/z7W9/O7B9qcW+FVArRP5WvJAvHapkwOPh23MymW0MverX//TUOU5Z/K0Uup0uvnbs\nFAc+ceUH70S1e24Wurq6OHHiBKWlpcTHx/PQQw/xk5/8hJ/+9KcEBwcTGxtLSEgICQkJ1NTUcPjw\nYVpa/LWShuvnDLuvIiIisFqteDwelixZQlZWFg6Hg3nz5nHnnXdy/vx5Fi5ciEbz8bggbyRO1Dv4\n4bYuJAm+e18k+aaxPdf+da2RNw71j9nXbb1YBMnIyFyZ4WDgN998k9LSUsD/LB3tLRl97NWMj2b7\n9u2IojjG0jIRV5rzjTfewGg0BmqPbdy48bIWo49yjhOtwURMqeDZvXv3mOCiiIiIiy7mciLo+9//\nfuD3oqIiioqKrvcpTioLo8M5eveKf+i1znE+gvHbtxLd3d2cPHmS0tJSIiMjeeCBB3j11Ve55557\nUCqVREREEBQURFpaGrW1tezatYuamhp8Pl/AoqNSqRAEgaCgIARBCPTKmjlzJkFBQYSEhPCVr3yF\nnp4erFYrK1b8Y/9uNxuWQS9rfthIV79fwOw8ZmVBppZXnognO8EvBpfPDCIlUklD14jrNUR7c2cC\nykwPSkpKKCkpmfw3/qgWno6j0Hnsioft3r2bjRs3EhkZSWlpacATYjQaJ3x2DltMrjQ+mqeeeorH\nH398zL7RWVzp6enU1tZeds6+vj4KCwvZvHkzmzdvpru7m82bN/Pkk0/y9NNPf+T5rmYNJmLKBM/u\n3bsvUm8mk2nCC7zUBYwWPLc6T2Sn8QdzC+0OJ2pR5Dt5WVN9SpNOd3c3VVVVlJeXo9fr2bRpE2+9\n9Rb3338/Pp+PiIgIFAoF2dnZmM1mPvzwQ8rKyvB4PIiiiCiKKBSKQIXk0NBQLBYLSUlJZGVlkZ6e\njsfjYdWqVRQUFGA2m5k/fz5BQXKzyWHM7a6A2AHwSXD4rIP7ftLCqZ+PxDT9/POx3PfTZnyS3337\nwqM3f7C8zNQz/ovxD37wg8l5448aFx21wP8zTPXzFx0yLBK2bNnCU089NWbMZDJdZDwwm82BZ+6V\nxkfvKy8vvyhF/b777sNs9teUu5o5d+/ejSAI/PrXvw6Mvfjii2zcuJGnn376I893NWswEVMmeMrK\nyi5SasOpZsOYzWaKi4sn87RuWDJCQ6i6ZxVlPRbS9cGY9BOn+N6M9PT0UFlZycmTJwkKCmL9+vUc\nOHCAL3zhC9hsNiIjI/F4PGRkZGCxWDh69CjHjh3DbrejUCgChQB1Or97Lyoqiu7ubrxeL4sXLyY3\nNxeXy0VaWhpr1qxhYGAAq9XKypUrp/KypyXpMWrCg0V6B8daGM+2Otlb6mDlXA0KhcCnFoZS/fN0\nalpdzEvXEm9UXWJGGZmbgI+h0vKmTZsC5VzGU1Dgr3q/Z8+eQFLQrl27As/TK40Ps337doqLiwkN\nvTi8YnSw8JXmnMiQIUnSGEHzUea7mjWYiCkTPIIgBIqzjeall15i69atmEwmjh07xksvvTQFZ3dj\nEqFVUxwfPdWnMWn09PRQXV1NZWUloiiydu1aysvL+fKXv0xPTw/h4eGIokhsbCwajSZg/ent7Q1Y\ncyRJCrit9Ho9DoeD3t5ecnNzycrKIiwsjODgYO666y7S09NpaGigoKCAkBC52eREqJQCbu/FX2fd\nA0pWf7mTTy7VsvPpSERRwKBVsiZXRdAod5YkSZxp8BCiE0iKkWvsyMhMxPbt2wF/EO/4zKo1a9YA\n/iJ8W7ZsYdu2bZSWlrJjx45A5tPVjINfYMybN++qz+tSc6alpbFlyxYee+wxHn30UXp6eti8eTMb\nN278h+a72jUYj1xpWeaGo7e3l+rqak6fPo3P52PZsmWcOXOGN998k/r6esLCwnA6ncTGxpKQkMDJ\nkyeprKyktbUVSZIQRRGfz4dOp0OlUgUqJff19ZGSkoLJZCIvLw+bzcby5csxmUz4fD6USiWzZ8+e\n6suf1vz336089JvmsTsHldCvYbis96EXo/nRK1bePuQgSCvwu2+Fs+E2HYIAG77dzc4DDgQBtj5h\n4GsPXNxcV0bmejFpdXjurb62Sd6cOeY8t27dypYtWyZ8r9G9/R577DHeeOMNIiIieOaZZy4KEr7S\n+Pg6OFfDpeYsLy9ny5Yt7N69m7CwMDZv3nxVbqhLzXe1azBmTBY8MjcKvb29nD59mtraWpxOJwsX\nLqShoYG3336bqqoqwsLCcLlchIWFkZ2dzYkTJ6ipqaG2thav14tKpQoIF61WiyiK6PV6ent7MRgM\n5Obmkp2djSiKzJgxg8zMTFJSUmhpaSEvL29Cs67MCN98vpetf+iHcAeoh1xaXgE6dSCNWHH+4xED\n3/nNqCwtCTSCyHe+GMJ3fzuyXxTBujt+jAVIRuZ6MmmC51Onr22SP+fIz7vrgCx4ZKY9FouF6upq\nzGYzNpuNwsJC2tvbOXDgAAcPHiQoKChgsSkoKKCmpoaamhoqKytxu92oVCo8Hk8gIFmlUqHT6XA6\nnXg8HubPn09sbCxJSUkoFAruuusuFApFICU9Ly9vildgcnB7JNxeiSDNRxcYpaedLHys3d/oU5RA\n6wFBAocSPGIghuFztwdRU+fj6FnnRXNoRQHHcPllwd8g1/r3BEKCZMEj8/EwaYLnnmsUPP8rC57r\ngewkl5m2DAudlpYWent7mT17NlarlXfeeYf9+/fj8/kwGAy4XC4WLlwY6HZeWlqK3W5HrVYHbmhB\nQUFoNBq0Wi2SJNHf309aWhomk4nc3FwGBwe57bbbUKvVhIeH097eTkZGxoRpmjcjfzjQxz8/fwGH\nS2JWkprHbg/niTvDL1sJFaC2yc0d/9ZJ3QXPcD9Pv7ixjw1Cfv+5KE6e9fL1n1pxuiXQ4K/zLkgQ\n5AZBwuFQUlwYxK6qfr+FSIAv/6aD330l9uO6bBkZmVsI2cIjM+3o6+ujqqqK9vZ2Ojs7ycrKwufz\nUVFRwb59+7BarURFRdHf38/MmTMRBIETJ05w/PhxBgYGAl3LBUFAp9MhiiIhISGIokhfXx+hoaHM\nmzeP5ORkQkJCiI2NDWQS6PV6vF7vTV/ZezQOl4+wB8/6hcgovn9/JP9300h/q5pGNzWNHuZnq4mL\n9Ge2rftmJ3876AhYZMYwqrN5pE5BVzejXFsSaLwQ5gClFNj1w88a+d7rYzM6Dv4kkcU5N2+BTJmp\nY9IsPHefubZJdmbLz7vrgGzhkZk2DAudrq4u2traSEtLw2g0cvLkSUpKSujs7CQuLg6Px0NoaCjp\n6emcPHmSiooKOjo6UCgUAbEzHKMz3MrEbrfj8/lYunQpBoOBWbNmYbPZeOihh+jo6ECSJDweD/Hx\n8UREREzxSkwuTrd0kdgB2HViMCB4/ne/jU3f68btAWOoyPvPRXH8jJuK804mLDIS6APkV0FdA17Q\nSqD2+vcNqAnTiliUo14rwP6qi1tMdFjkKswyNziyVpkWyIJHZsrp7+/n1KlT9PX10dzcTFxcHDk5\nOVRXV/Phhx9SV1dHYmIioaGhKJVK5s6dS11dHfv27aO5uRlBEFCr1TidTnQ6HWq1mrCwMBQKBQ6H\nA7vdTnp6OqmpqeTk5CAIAtnZ2SxatIi6ujrCwsKw2Wy3RLVkj1fidLOTCL0iUPvGEKzgi6sN/HZP\n35hjs+LU/OVDGy/9ZYC/VwziDvKAJNBjU3LHty7Q2u8ClQThwKAKPIqRF49ueijhtwCFOUfaFWu9\nJIaGkhanodzsj+dRiLB+UTC7K8aKnneOD3L3YrkMgMwNzMdQh0fmoyMLHpkpo7+/n6qqKgYHB2lo\naCAyMpKcnBxOnz7NO++8Q2VlJdHR0cTExOD1epkxYwb9/f387W9/o7a2NhCoPDg4GHBbabVaQkND\nGRgYoL+/H4PBwMqVKzEajSQlJaFUKnnwwQdpbGzEYrEgSRIxMTFER9/89YvsTh+3/6iRD07bEYG5\nQixrlir5RLGClx6Pw+6Q+J8Dw1lSAn/cY+OVHQ5QSKDzgCAAPlB5aXUAaobEjADBbrCIGEJEDEEi\nja1exvi4lNKI2AFQ+UhOFPj65yNZ850WfD7weuHYWSd5aWpO1rkCh3Zbb902KTI3CbKFZ1ogCx6Z\nScdqtVJZWYnD4aChoQG9Xs/MmTM5c+YMR44c4dChQ4SEhJCcnIzD4SAuLg6NRsP+/fupqqrC5XKh\n0+mw2WzY7Xb0en+tltjYWPr7++np6UEQBFasWIHBYCAzMxOfz8eKFSvIzs6muro6YNVZvnz5FQNz\nbxR+trOHt0sHiTcq2HKvkTaLl/8u6aOu3U1usoasBBUfnPZbT3xAmbeNshKRZ0vgc0Wh/E/JIDBi\npbHjhdAhd5IU+M/FsTqjSI1WcaJSAs3QsaLPH6vjG4pnHjpOJQr86hthbDtkZXTbt78eGeS/vhrD\nhv+8gNcHKiU8slYuByAjI3PtyIJHZtIYGBjg5MmTuN1u6uvr0Wq1ZGVlcf78efbu3cv777+Pz+cj\nPT0di8WCRqMhJSUlIHSsVitarRZBELDZbIEA49jYWJxOJ93d3bjdblJTU5kxYwaJiYkYjUbi4uLY\nuHEj586do6mpCYDo6GhiY2+e7J9X9vTxtVc6AsHDr+3vY7QyOVBtJyV63Md9lHB5/f3+cTvHBSGP\nVisT4VQAAu1dXtD4/LE6Si+oR+aZmaghNERApRR45vMRpMYryYofm82VlaDi7sUhHP15EqXnnCyc\noSUvTe5AL3ODI7u0pgVylpbMx87AwAAnTpxAkiTq6upQKpUkJydTX19Pe3s7JSUl9PX1kZmZidPp\nxOfzkZycTEVFBRUVFfT09KBS+R+MDoeD4GB/n7Dw8HB0Oh29vb3Y7XYMBgMrVqxAq9WSnZ2Ny+Vi\n/fr1gbn0en2gYOGNbNXZX2Vj685udGqRHz8QRWa8msd/3cYLu3rH6BU/wqhticIMLaVmh3/bJwRu\nxApBQCMK2DzS2AlGL9OwJSaQfs5IYLKEX/SMd12Nw/3XdJSKsWv/1Bs9vLbXSkKEgt98KYa0WLmv\nlszkMGlZWp84e22TvJ0lP++uA7LgkfnYGBwc5MSJEwA0Njbi9XpJSkqitbUVq9XK3//+d9rb2zGZ\nTGi1Wnp6eoiPj6e1tZVjx47R1taGJElotVoGBgYCdXSUSiXx8fF0dHTgcDgQRZGFCxcSGRlJQkIC\ner2erKws1q1bR21tLQMDAzgcDtLT00lISJjiVbk2GjrczPw/ZmxO/99+cqSS2l+l87X/aue5d3vH\nHjyUEj78e06imoqfpXGg0sFvfimyu72THtWgX8jYVOAVQenzV0d2iBDhGPFwSYwVOYyae/R7+cbt\nH4VSAe6/ZlzjCsjIXD8mTfDcWXttk7yTKT/vrgOyS0vmujMsdERRpLm5GYfDQVJSEl1dXTQ1NfHu\nu+9SV1dHWloa8+fPp6mpCaVSSVhYGHv27KG+vh6Px0NQUBB9fX04HA4iIiLweDwkJyfT19dHU1MT\nkiSRlJQUaOaZnp6OUqlk/fr1REVFBaowezweli1bhijemBV7HS4f/++vvbRbvKTFKANiB6Cxy8Pr\n+y288F7viCiBscJEgE/OC+aXj8SgVgmsLtBR+6l+3viFG5xD1hTf0As9ChB8EO4CRPBKfjeZODKX\nf/5LWMhGn8M4fvlY1MQDMjIyMpOAbOGRuW7YbDYqKipQKpU0NzfT399PQkICAwMDALz11lucPn2a\nlJQUUlNTMZvNiKJIVFQUR48epbq6GpfLhUajwel04vV6CQ0NRZIkoqKiUKlUtLW1BfavXLkSjUZD\neno6KpWKvLw8Vq9ezfnz52lvb8fr9ZKamkpycvIUr8zV09Dh5vBZOzMTNeSm+mNXPvVUC/97xL+G\nWjU4PdKIkUWCpAgFTd1exsTdjLbuAK2/zSDO6P9+4/ZIhH6yAcfo2jsS4BtSSRr8lp7hlwu+sW4q\nH34r0Hj9KI2y8AxZg8L1Iq9/I5ri/CCUyhtTcMrcvEyahWftNVp43pUtPNcD2cIjc80MCx2VSkVX\nVxddXV0kJSWhUqlwOp3s2rWLkydPEh8fz/Lly2ltbeXs2bMkJSVx6tQpdu3aFQhIViqVDA4OEhIS\ngkKhICgoiPj4eBoaGnC73QH31bAbzGQyERISwrp16wgNDeXAgQOBHlhLly5FoVBc4eynD+VmByv/\nvQmr3YdChD9+PZ77luj52/GBwDEOFwgiYwKI7U4JhQhenz+WJt+kweeDE/X++jYbFusDYgegu9+L\nwz0qbWo4JkcxZMkR8Ft8FENv4hs6cPh9+zTgUA+N+SDY409LH+dCEwS/VefO+SM1dCRJ4nC5P/Nr\nUb7iho6lkpG5auSg5WmBLHhk/mGGhY5arcZisdDa2kp8fDxxcXF4vV727t1LZWUlBoOBhQsXMjg4\nyJkzZ4iPj2dgYIBt27bR29sbaAExODiIRqMhPDwclUpFYmIiHR0d1NbWIooi8fHxLF26FKVSSWZm\nJgqFgkWLFlFYWEhjYyNVVVWAPz09NTV1ahfnH+DF9yxY7f7IYK/Pn2Z+3xI9MxLUVDWO1KWZnaym\nsmFoW4IvrA5j+SwdL75nISxIwdbPR6PXifzvEStBGpG7F/gFR90FFz9/s483PxwYETPgt8oMC4/R\nLivP8AECePFbdbq0oByx4GBTIwxqkVItI/N54at3G1m/XEtRXhC9fT4qqr2YkkW+tdXOH/7qBuDO\nlUre/p3+Oq6gjMw0RTbOTAtkwSPzkbHb7ZSXl6PRaBgcHOTUqVPExcWRkpKCz+ejpKSEkydPolKp\nmDFjBjqdjtraWoKDgwkPD2fPnj20trbi8/nQaDTYbDa8Xi/h4eEoFAoiIyNRKBScP38eAL1ez/Ll\nywkNDSU6Opr4+HjCwsL45Cc/iVar5dChQ0iSFLD+KJU35p91qG6sy8cQ7LdO/fnJBB77dTsdfR4e\nvT2Mf15j4BuvdnCizsl9S/R8db2R6mqo+q2e+nq48Bbs3An/VORvq9HcLLH6Sx2cHRjwdzKHi1PO\nhxkTBySMHVMACgFcCn9cz4AKOvT+e7nSCwlW8AqoGyL4wYMG9HqBuiYvy+630touoVKC2zMy3Tvv\ne3j4yUFefjr4WpdORkZG5orIMTwyV82w0NFqtVitVmpqaoiOjiY0NBSn08mRI0eoqqrC4XAQGxtL\nYmJiYDs1NZWDBw9SW1uL1+tFo9Fgt9uRJIng4GDUajWhoaEYjUbq6+txOBxoNBry8vKYM2cOdrud\n+fPn43A4WL16Nenp6bS1tXHmzBkUCgUJCQmYTKapXqJrosfqZe0PmzlW6yA5Ssm730skJ+nqatCs\nWgX79o1s/+AH8L3vwX+/M8A//8iCV+f0C5aJLOvDKerC0Maw7vLg/0o0+jUdQf7AZjfQqwObioho\n6O0Fn1tAo4U3X1PyiTv8Yu1r/2njZ791Xvbc+yrCCNXLJn+ZyWfSYniKz1/bJLvS5efddeDG/Cos\nM6k4HA7KysrQaDQIgsDx48cxGo1kZWXhdDo5evRooOlndHQ0hYWFgT5Yubm5nD59mtdffx273Y5G\no8Hn82Gz2dBqtQQFBaHT6YiNjeXChQucPn0apVJJUlISK1euxOfzERMTQ1RUFJGRkaxduxZRFDl+\n/Dg2mw2lUsmCBQsCcTs3Mka9gqNbU+gb9BIaJH6k+Jbe3ou3/37MxkM/bwc9l82eGtPzyq2AQc3Q\n7wKEuvzxOQBWtV/s+ACXCoK8aEJ9dHskMMD9d6p5+RkdISEjb9RjufxNWqHw/8jI3NTIWmVaIFt4\nZC7JsNDRarUAHD9+nNDQUOLj43E4HFRXV1NVVUVTUxMRERHk5+dTU1OD2WwmJycHq9XKe++9h9Vq\nDQgSu92OSqUiJCSEoKAgDAYDgiDQ0NCAIAiEhoaycOFCkpKSEASBwsJCBgcHWbt2LbGxsfT09FBZ\nWYkkSSQkJJCZmTmVSzRt+N3v4OGHQZJAr4cPPoAf/rmdHQcHJn6BfSg62TsUiayS/FaePjX4FH7r\nznAA83D2l13htxINZ2gJQ7/7RlxxB7eHsLhg5HvUX/e4WP/o4Ji3DtEIDDglkCAjTsWZ/cEoFLKF\nR2bymTQLz2rztU2yxyQ/764DsuCRuQin00lZWRlqtRq1Ws3hw4cJCgoK9LY6f/48J0+eDPTBysvL\no6Ojg8rKSkwmEzqdjp07d9LT04NCoUChUGC321EqlWg0GkJDQwkJCUGv12M2m7Hb7QQHB5OZmUlR\nURGdnZ0sWLAAj8dDdnY2S5YsAaCyspKuri6USiXz588PCDEZP0ePQk0NLFsGlbVuPv1UO3b1BO4k\nrwA9QeAW4Ww4RNnQRblx+LxI3iHxYtFAt9bfJkISePJLSp7+pRsR1B0lAAAgAElEQVQi7KAalbIu\n4bf4+ESQBFISBM7tC0WpFPB6Jdq7fHzua4PsPeTPzEpPUHC+SuXvsSX5Kz2fOaxhRqacsi4z+ciC\n59ZCFjwyAUYLneDgYD788EOUSiUmkwmXy0VLSwtHjhyhubmZoKAgsrKysNlsnDp1irCwMFJTU9m5\ncyetra0AiKKIy+VCEATUajUGg4GQkBCCg4Pp7Oyks7MTnU5HTEwMK1euRKVSERkZyYwZM3C73dx5\n552EhoYyODjIsWPH8Hg8JCUlMWPGjCleqelNZZWPufd349N4INThFyjDosQnjLimWoOhxx8wXJAP\nJxvteFQe/zEOhT8zy6EmJEhg3T0Sf/izF8JtoB3XvXy4yKHHn9+u04E+xP8Zbe+SmJEmcqFepL9P\nHLIojaBWQ3OllqhI2cIjM/lMmuBZdY2CZ68seK4HsuCRwel0Ul5eHggc3r9/P4IgkJGRgdfrpb29\nnYMHD9Lc3BxIF9fpdJw6dQpRFMnOzmbv3r3U1NTgdrtRq9UBoaNQKNDr9YSFhaHVanG5XDQ3NyMI\nAmFhYeTm5pKfn4/FYmHNmjU0NTWxbNkyZs6cCUBNTQ1NTU2o1WrmzZtHUFDQFK/W9GL/fomqKlix\nAmbNEjDXSRQs8dAX0z2qMKAEnovFBj6gORStpMItefHqHaDxDL1OGBExAxp/ZpbCC0aHvzHo6JYT\nw3jhko20HAqwj/TICgn2i53nnlHxmQ1yKKHM1DBpgue2umubZF+a/Ly7Dsh3mlsYl8tFWVkZKpWK\n2NhYSkpK8Hg8ZGRkoFAo6OnpYf/+/bS0tCAIAjExMcTHx1NVVYXFYiEvL4/a2lp+85vf4HA4UKlU\nAavOsDssKioKjUaDSqXCbDbjdDrR6/WkpqZSXFxMZ2cn8fHxAavO5z//+YBgOnz4MA6Hg8TExIAA\nkhnh5ZclHtns/12rhb27JfYe8NHXD4Qq/QUBYagC8jgLioS/9k68lWBJS7fP5W/8CX6Xl0fwp56r\nJNAOWX1cypFU9fH33kCvrYmjowXFSHXoyAi/VUejka06MrcIslaZFsiC5xZktNBJTEykpKSEwcFB\nMjIy0Gq1WCwWDh48SFNTEy6Xi6CgIHJycjh58iQlJSXk5eVhMBh47bXXsFqtqFQqVCoVHo8HlUqF\nIAhERUURGhqKKIp0dXXR0dFBcHAwycnJLFmyhKioKDweD/feey9ms5lFixYFWkDU1dVx9uxZtFot\nS5YsISQk5ApXdGvhdku8f0DiZ/8fDIsLhwP++zXIyx86yKEAjT9uZnRX9Isafyqg2+cAcZT4ECUQ\nvCMp6UqnvxM6ImKQx9+BYpgxzdVHB/aMzKcPhm89rOONHT6CdAI//w+VLHZkbi3kSsvTAtmldQsx\nLHSUSiUJCQns27cPi8VCRkYGBoOB7u5ujh49SnNzM4ODgyiVSubMmcPp06dpaGhg1qxZBAUF8cYb\nb9Dd3R1o2zDc/0qSJMLDw4mIiEChUOBwOGhsbMTn8xEVFUVWVhZFRUU0Nzdz++2309XVRWJiIkVF\nRQiCgNfr5fDhw1itVhITE5k9e/YUr9j0w+2WuH29l5L9Q3/7HsEfjwN877vwnX+HTz/k5c0Dg/6U\n8mG8jPI2TWDtGX1DHo7JGX3YgBJR68On8I3dP7pKszRqn1skTK3kd8+rKZytJDleDkqWmX5Mmktr\nZf21TfJ+qvy8uw7IgucWwO12U1ZWhkKhIDk5mX379tHd3U1qaipRUVF0d3dTVlZGXV0dTqcTn8/H\nzJkzqa+vp6GhAZPJRExMDDt27KClpQXwr7/T6USj0SCKIhqNhoSEBFQqFV6vl7q6OhwOBwaDgcTE\nRNauXYvVaiUlJYX09HR6enq4/fbbiYyMBKClpYXKyko0Gg0FBQUYDIapXLJpy+69PorXecfsE90K\n7igW2PYGqFRQew4k0cvn/t1KxRlPQICgHtcsdFi4uIbEiOIynye3MGQPHlWp2SX6A6JHKyAfYNGC\nJPAv/6zgV1tv/PpIMjcvkyZ4VtRf2yT7ZcFzPZC/dt3EuN1ujhw5wokTJ8jMzKShoYFt27YRHBzM\n4sWLUalUlJSUsH37durr63G73aSmphIeHs7BgweRJImlS5dSXV3Nc889R1NTE6Io4nb7C9Hp9XqU\nSiWpqamkp6cjCAIdHR1UV1ejUCgwmUysXr2a9evXY7PZuPfee9FqtcTExPDAAw8QGRmJJEkcOXKE\niooK4uLiuO2222SxM46BAYm//EXi4EEJnW7smChCVzu8/ZaAwwEFSzzMnu9h0QqJZ//FQGywcijj\nSvTH5sCIBccHuIYsRB7FUJbVKEa7q4ThjaFjXKK/Zo93rGXoqw9p+d7XVbz8CxW/fEaFjIwMgRIM\n//DPJdi4cSNGoxGj0ciTTz550fjmzZsxGo1kZGSwY8eOqx7fvn07oihO+FNRUXHZS73UnGazmeLi\nYkRRJCMjg5deeulqVi7w2nnz5k04dqU1GI0cw3MT4vF4KC0tRaFQBDKoDh06RHJyMsuXL6ezs5MD\nBw4ELCqSJBEaGgrAiRMniIqKIj8/nzNnzvCXv/wFp9OJUqlEFEU8Hg8GgwGXy4XRaCQ6Ohq3243V\naqWxsRFJkkhKSiI5OZm1a9fS0NDAjBkzkCSJCxcu8JnPfCaQadXZ2cnx48dRKpUsXrwYo9E4lcs2\nLenrk1iyDKqr/dv//m2Bxx4WeeFlHwoF/PwZkfBw//eW5170UXUaUPgYtAl8/ms22l1e0OIXM04B\nJBG0Xr8bSsIvdIatPV7RH7szuvLxsM5RCKMCk4c6qSsEsGogyA0CfOFTGn723XGKTEZG5mMJWi4s\nLEQURbZv305vby+PPPIIAE8//TTgFx579+5l+/btlJaWsnHjRkpLS8nPz7/ieHFxMbt37x7zfqWl\npTz99NPMnTv3kud0pTkzMjIoKyvj2LFjbN68OfCl+HJYLBY2b948YeX5K63BeKbMpTVebW7YsAHw\nK7kdO3ZQUFBAWVkZjz766ITf+GWX1sUMCx1RFMnJyaGkpASz2UxCQgIzZsygs7OTmpoajh8/jl6v\nZ2BgALVaTWRkJBUVFRiNRhISEmhvb+fdd9/FZrMF1nlY4DgcDkJCQkhKSkIURQYHB2lpacFqtRIV\nFUVsbCxr1qzB6/ViMBhYvnw51dXVLF++nIyMjMC5lpeX09TURGJiIgUFBVO4atMXp1Pinz4H20d9\nVJRKcNiguxs0GjAYRm4C3/mBhx//bgCCPCPiZHRGlRfyUrSEqJScbXPS1SWNxN+A3+LTrwGFD/Qu\nf9HB0Yz7uJmMGsznRozEe/6sZtUKuU+EzI3DpLm0ljVc2yQfpIw5T7PZTEZGBmazmdTUVMD/TH3k\nkUfo6ekB/HXQdu/ezapVqwDYtGkTRqORF1544arGx1NcXMzjjz/Ovffee8nTvNScjz76KPPmzcNi\nsQS+XF/p/QC2bNnC1q1bAb+4OXbs2Edag4vO75Lv9DHy7LPPIggCGzZsYM2aNTz11FOBsU2bNvGN\nb3yD1atX8+ijjwYUm8yl8Xg8HD16lPLycnJzc+nu7uZ3v/sdNpuN4uJioqKiOHLkCH/84x85d+4c\nCoUCi8VCWloara2tmM1m8vPzCQ4OZtu2bfz5z3/GbrcjiiJOpzPQAsLtdpOVlUVGRgZ2u52WlhbO\nnDmDJElkZ2ezdOlSPv3pTzM4OMidd95JQkIC/f39PPjggwGx09fXx3vvvceFCxdYsmTJLS12bLbL\n32gffhS2v8mYEJmgIFAoBKKjhTFiByA12+MXOzAidhj1fwWc7XTw7I8ULJitxGgQx7qtHCoiDQpS\no9To3Bp/N/RLnGJIMPz+VxruWCUyN1fguWdUstiRkbkU19mlZbFYKCwsDDzoAQwGAxaLBYCysjKA\ngPAAxlhtrjQ+nrKyMnp7ey8rdi43pyAIbNy4MSB2AMLDw6/YL/Db3/42ZrOZb37zmxcJ0yutwURM\nukvLYrHw9NNPBxSYwWDg+PHjgH/BRrs1DAbDJf8BZPxCp6ysDEEQmDNnDgcOHOCll14iKiqK4uJi\nenp6OHLkCMeOHSMoKAitVktLSwt5eXmUlZVx4sQJ5s6dS19fHzt37qS5uRlJkhBFEYfDgU6nIzo6\nmoGBAZKTk4mKimJgYIDOzs6A+yo1NZX4+HjWrl1LV1cXERERZGdnYzabWb16NXFxcYHzra6u5vTp\n06SkpFBYWPiRmmPeTJw5I3HXejCbYekSibf+ykXiBeC9v4/aEPzWnd+9PLKr5YIPrxeSE0WaW320\ntPkummM8Dic89u92TlWN7IsLVxCsVvLlh5V8abP/lrDnfYHi+0CyCv5Cgz6BzQ+oaO714PZIfPcJ\nHYvnKXl3m+wVl5G5ItfZiFRQUDDG2gHw4osvUlhYCPitH2FhYWPG09LSAs/dK42P55FHHglYWi7F\n5ebMz8/nT3/6U2B/WVkZ27Zt4+WXXx4/zRgMBgMGgwGTyXTR2JXWYCIm/W51/PhxTCYTO3bsICws\njLKyMu677z7S0tImXDCj0UhFRcVl/Ya3GsNCB2DOnDkcOnSI559/noiICNauXUtvby9Hjx7l5MmT\ngF9Jnzt3juzsbLq6ugI+VZvNxr59+zhz5gxutxuFQoHX60WSJJKTk+ns7ESj0ZCeno5SqaS9vZ2O\njg76+vpISEggIiKC2267jeDgYOx2O+vWreP06dPo9XpWr14dEDR2u50DBw5gt9tZtmwZMTExU7Z2\n04Gv/Jtf7AB8eBCeeRb+88cXHzd7FuwrGdl+/TXYsMG/pt97xsWPfuYPHv/EapE9H/hwOiU0UQJO\n79DdNRBzMzKHUgHt7aPfReDRh5R8/9/G9iVbvVLBiz9V8S/fBI9NweNfUPD8s3LGlYzMP8THWIfH\nYrHwyCOP8Oabb1JaWgpAT0/PhDGRw9aPK42PZjiAebTlZiKuds7w8HD6+vooLi6+rMXoozDRGkzE\npAses9lMWVkZxcXFhIaGMm/ePAoLCzl37twl1eWl+P73vx/4vaioiKKiout7stMMr9cb+MfMz8/n\n6NGjPP/884SFhXHnnXcyMDDA4cOHqampwel0YjQaqaqqIiEhAa1Wy8mTJ5k3bx5er5ejR48G+lN5\nvf40Z4fDEVDkVquV3Nxc9Ho9zc3NWK1W2traCA4OJicnB5PJRFFREY2NjSxatCgQtHzPPfeMibmq\nra2loqKCpKQkiouLb1mrzmjG31N6L2GBff01+NL/gcZG+PT9sOFeePjfnPzhzx5stpHj3t7j9RcL\nFMHZqWbREjhc5rfKoPGMVFAGNm/Scu6MgvcOuAP7ls2b+DbwyINKHtigwOkCY7j87yZz41NSUkJJ\nSclUn8aV6TsE/YeueNju3bvZuHEjkZGRlJaWBgwDRqNxwufpsEHhSuOjeeqpp3j88cfH7Nu+fTub\nNm0CID09ndra2ques7y8nPPnz7N582Yee+wxXnjhhQnnu1outQYTMemCx2QyYTKZAr48g8GA2Wym\nvr4eo9F4kRq8nAgaLXhuZsYLnbKyMp577jmCgoJYu3YtTqeTo0ePUldXR39/P/Hx8VRUVOB0OgkO\nDubcuXMUFhaiUCioqqriww8/xGaz4fF4Aq0ghl1PnZ2dpKWlERMTQ09PD3V1dbS2tuLxeDCZTAEr\nksPhQKPRsH79eqqrq1m4cOGY9g8ej4f3338fi8XCsmXLxri2bnW+/CX43EPg80FICDzyxYmPi4sT\n2P7GyPZv/8fNb/9nVIwOkj9dfEy8jsTh4xAIz3MqQfKCQiIxWsFPtwSRW+ADq+APTnYqqTgusmbF\nxOcQHCwQHHytVywjMz0Y/8X4Bz/4weS88Ud1aYUu9v8M0/zziw4ZFglbtmwZEwcL/ufs+Gep2WwO\nWGCuND56X3l5eUCMDHPfffdhHjJTX82cdXV1SJKEyWQiNTWV1NRUnnnmGTZu3MgLL7ww4XxXw+XW\nYCKmRPCMZ1gBDhekG8+t6s7yer2UlZXh8/koKCjg1KlT/PrXv0alUnHHHXcgCAKlpaW0trZy4cIF\nMjIyaGhooL+/P2CZycvLY9asWZw6dYoPPvgAi8WCz+dDkiQ8Hg8hISEkJyfT3NxMfHw8M2fOxOfz\nUVdXR09PDz09PSQmJhIREcHSpUuJi4vDZrMFGn12d3fzwAMPoNFoAufd2NjIkSNHSEhIYNWqVbJV\nZxwPfEYge4bE6TOweBGYTFe3Pq1toyKMh+vijBY7jPsd/KZ0p79HRHM9fHjch9stjGnk6XIjIyPz\ncfIxJIJt2rSJZ599lq9//esXjQ0ng+zZsyeQ9r1r1y6Ki4uvanyY7du3B7wx4xkdLHylOXfv3s0z\nzzzDuXPnAsd3d3cTHh5+yfmuhsutwURMieAJCwujr68vEFGdnp4eUH2jGS5UdKvh9XopLy/H5/OR\nn59PTU0NL774Ij6fj6KiInQ6HcePH6ejo4Pz588zc+ZMzGYzR48eJSwsjMbGRjIyMli7di01NTXs\n3LmTzs7OQHyOx+NBoVAwZ86cgFWosLCQsLAwamtrsVqtXLhwgZCQEHJzc0lKSqKoqIiuri5mzpyJ\nRqPh7NmzrFixgpSUlMB5+3w+PvjgA9rb21myZAkJCQlTuIrTm4ICgfEJao3NPj486mNGhoAxTODQ\ncR8GPbzxlhu7A+blKfxCRxwVozP8/yGhE24Q6LdJeIeLMQ/XzRli/2EvP/q+is8/7D8m3QQPf0EW\npDIyHyvXOYZn+/btgD8oeHxiz5o1awB49NFH2bJlC9u2baO0tJQdO3YEYj+vZhz8guVSBf8m4lJz\npqWlsXnzZp588kk2bdqE2WzmySefZPPmzf/oElzVGoxnSlIstm3bxlNPPcX8+fM5duwY27ZtC4y9\n9NJLbN26FZPJxLFjxz5SNcYbHZ/PR1lZGV6vl4KCAsxmMy+//DIOh4OioiLCw8M5cuQIFouFyspK\ncnJyUKlU7N+/n6ioKHp6eggPD+euu+6ivr6eV199lebmZlwuF5Ik4fV68Xq9zJ49m87OTurr68nM\nzCQmJoa2tjYuXLhAS0sLHo+HzMxMwsLCuP3221EqlajVau644w7Onj1LSkoKn/3sZxHFkaoGbW1t\n7N+/n9jYWDZs2DBmTObKnDrtY9l6O339/urJaqU/owrlSO+qP7/judiaM7p/lQS9HQqWLxRRBfsw\npQqcqfXywbGRr5c73vZQuUfDogUSzS1QWAB6vSx4ZGRuJOrq6gB/leHRDPckBHjhhRd47LHHKCws\nJCIigu3bt4/xllxpHPzWmm9961tXfV6Xm3PXrl1s2bKFZ599FpPJxObNm6/KDTV8XeM9BVezBhfN\nI/fSmnp8Ph+lpaUB11VjYyN79+6lv7+f5cuXk5CQwMGDBxkYGKC8vJzU1FRsNhuVlZWEh4czODiI\nwWAgOzubwcFB9u7dy5kzZ/B4PDidThQKBTabLZBt1draSmJiIiaTKdDgs6+vj66uLuLj44mIiGDB\nggWkp6djt9tZvHgx/f39DAwMUFRURFRUVODch1tD1NXVsXTp0kDHc5mPxle/6+T//cYzsmP4T1s1\nQfG/i9xW+EN2JMAjgkNBmEZNxTGBV9908X9/OtJEdFGByKG/yEE5MjIwiYUH57dc2yTHEm6a591U\nIhfRmEJGW3Ty8/NpbW3ltddeo7u7m2XLlpGWlsbBgwc5ffo05eXlREdHM2vWLPbt24dGoyE4OBhR\nFMnLyyM0NJRdu3ZRVlaG2+3G4XCgUChwu92EhoYGup7r9XoWLlyIwWCgurqawcFBmpub0ev15Ofn\nExkZyapVq7DZbKSkpBAZGcnZs2fJy8u7SP339PSwZ88ejEYjmzZtCnRPl/noGEIvYWUZJXC0GvB5\nwOVhrOgZNqYJ+C1CPgUWC+x7H77ysJp39nk4XOYjOlLglz8am34uIyMzCchaZVogW3imgGGh4/F4\nKCgooKOjg3379tHa2sqSJUuYOXMmH374IX19fVRWVqLT6ZgzZw7btm1DkiQMBgOCIBAXF0d2djZ7\n9uxh3759OJ1OnE4nAE6nE61Wy9KlSzlx4gSSJJGRkUFsbCzNzc10d3dz4cKFQPVkvV7PqlWr0Ov1\naLVaZs2aRUdHBwqFgqKiIkJCQsZcQ0VFBadOnWLZsmX/ULCZzFisAxKL73RQdXbINzUceyOByeSv\nnTPYpQSXAnTuoXRzJrb2dOoAkf17BZYv839Ounokwg0CSqXsvpKRGWbSLDyFrdc2SWn8Dfu8m07I\ngmeScblclJaWUlhYSHd3N3v37qWhoYFFixZRWFjIgQMH6O7u5uzZswiCQFFREf/1X//F4OAgSUlJ\nOJ1OwsPDWbFiBXv37uXtt9/G4XBgt9vx+Xx4vV48Hg9LliwJFApMTk4mPT2dwcHBQJByR0cHCQkJ\nREVFUVBQQFZWViC+R6lU0tDQwMKFC8nMzBxz/gMDA7z77rsEBwezZs0aVCq5I/ZHodbsQxAgI81v\nljl73sfrb7rZ/meJ6hoJBB+oR/1dewX/z3C8zqAKfKI/pdzouGh+naQiwaDmXx8X+D9fksWNjMzl\nmDTBU3CNgqdMFjzXA1nwTAHDFp1z584xb948li9fzr59++js7KS5uRmbzcbatWt59dVX6ejowGQy\n4XK50Ol0FBUVUV1dzbZt2+jt7cXpdAaqJA8MDJCbm0tQUBC1tbUYDAZmz56NTqfj1KlTDAwM0Nra\nSlBQEFlZWRiNRlauXIlCoSA+Pp7Y2FgaGxuJjIxk5cqVKJVjPZ7V1dUcOXKEFStWkJ6ePkWrd+Py\nr99y8qtX/HE6D39Wwbw5It/4DxdW69ABoxt+DuPD38V8GLc4lFIuoYyx4/GNvHZuqpZdO5VERspC\nR0bmapAFz62FLHgmGYvFwi9/+UsKCgpYs2YNJSUlNDc309PTQ29vL3fccQfbt2/n3LlzmEwmRFFE\noVAwf/583G43r7zyCk1NTfh8PqxWKxqNBqvVSkJCAnPnzqW0tBRBEMjJySEmJgaz2UxnZydtbW24\nXC6ys7MJDg5mxYoVxMTEEBwcTEpKCg6Hg56eHpYtW3ZROrnT6eTtt99GEAQ+8YlPoFbLLQY+KtU1\nPmattA9tjSoWONGf8Gi94sVv0RnGJSK6VCyYB//2DYlfvOIPSP7xN9WsXCyH5MnIfBQmTfDkX7i2\nScrjbsjn3XRDFjyTzLDb6cCBA5w/f57BwUEuXLjA6tWrOXDgAKWlpcTExGA0GvH5fKSnp5OWlsZL\nL73EiRMnEEWRwcFBFAoFVqs10LeqsrKSvr4+kpOTycrKore3F7PZTF9fX8B9FR0dzezZs8nJyUGn\n05GSkoJOp6Ouro7MzEwWLFhwUerf+fPnKSkpYdmyZcyYMWOKVu3G59RpH7m3DQme4erIw1zqz1jC\n784aOjhYB7/8DzUPflaBQiFbcWRkrpVJEzxzr1HwVMiC53ogC55JZmBggNdffx2v10tdXR1Lliyh\nubmZXbt2odPpSEtLw+l0EhkZybJly3j99dfZvXs3SqWSgYEBBEHAbrcjCAKrV6+mo6ODxsZGwsLC\nmDNnDiqVisrKSgYGBmhubkan05GZmYnRaGTFihXodDoSExMJCwvDYrHg9XpZvnz5ReW8vV5vID5o\n3bp1aLVyds+18vkvO3j1DS8gjWRWASoluMdXO5YAn4BaJXDPnSI/fFJFSqKIVisLHRmZ68WkCZ45\nbdc2yYnYG/J5N92QBc8k09fXx49//GPy8vJQq9X8/ve/RxAEcnNzA/2p7rjjDvbt28frr7+OKIpY\nrVZcLheiKOJ0Opk/fz4hISGcPn0a8PfXCg8PD/S96ujowOl0kpWVRUhICIsXLw60h4iOjkYURerr\n68nPz2fWrFkXnWNTUxPvvvsuixYtIjc3d7KX6Iajv1/i69+Es2fh7vXw1a9MLEpqaiSy53hB7xjJ\nsJLgi59R8sXPKnngMSdNrRKSBDqNwD9tUPH8sypEURY5MjIfB7LgubWQnf6TjE6n46677uIXv/gF\nDoeDBQsWMDg4yODgIHfffTe1tbV8+ctfZnBwEI/Hw8DAABqNBqfTSXp6OoWFhZSWllJfX09KSgqz\nZs2itbWV48eP09vbS3t7O4mJiURHR5OTk0NOTg7h4eHExsYSFBREW1sber2e++677yKrjSRJvPfe\ne/T09PDAAw8QLHeNvCoefQz+NNTk8/39EB0t8dkH/CLlr3+V2LYDUlPgi1+UUCDi9YkgSf4fYO4s\nBYsLldQdkz+OMjI3JbJWmRbId9hJpq2tjR/96EcsW7YMp9NJZ2cn69atQ5IkvvOd79Da2opSqaS/\nvx+1Wo3L5SI0NJRPf/rTnDt3jpKSEoxGI2vWrAk0F+3r66O5uRmtVktBQQFGo5HFixdjMBgwmUyo\n1Wq8Xi+NjY0sWrSItLS0i86rs7OTnTt3UlBQwNq1a6dgZW5cysrHbZfBZx+AkhKJu+8N6BrMdQK/\n+TU88VU1ToULhQo23a3gsYfkj6GMzE3Nde6lJfOPId9pJxmj0cjy5cvp6Ohg+fLlpKWl8dRTT1FW\nVkZISAgOhwNRFHG5/Nk39957L93d3Rw8eBCv18uyZcsICQmhrq6OCxcu0NbWhsPhIDs7m5CQEObN\nm0dycjLx8fHo9XqUSiXNzc0kJiZy//33T9jjqqSkhMbGRu6//370ev1kL8kNT9FKqK0duw2wr2RE\n7ADs3Qe//2+BL3xegSTpZFeVjMytgmzhmRbIgmeSGRgYIDo6mnvuuYcXX3yRLVu2oNfrkSSJ3t5e\nPB4PHo+HoqIigoKCOHnyJAMDA6Snp5OTk0NTUxM1NTV0dXXR0dFBfHw8OTk5ZGVlMWPGDKKjo0lM\nTATAZrNhsVhYtWoVMTExF52LxWLhzTffJCcnhwcffHCyl+Km4Ze/gIR4OFsL69fBunV+IZOfP/a4\n/KHOHP5GeJN8kjIyMjK3OHLQ8iTj8XjYunUrr7zyCoIg4McoSQoAABgmSURBVHK5sNlsiKKIzWYj\nNzeX2bNnc/bsWZqamoiKimLBggUMDAxw7tw5enp6aGlpQa1Wk5WVRWRkJPPmzcNoN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"text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('ppc4.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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lCRCFEGKGaTQ6uIWtnCT8POSneZ+FpBCHjR6CANxDBm9zMhwcntEW2wXKbHMc\n21W2Ofy5t5HrY9KwKzJiaVqQMYgiSvIbLYQQF6EWo5uvhHZwQ+hx/jr0B4LG2Ufrvc6HZnAIUMNx\nKtlHD0FUFMpYzjN8kQxSLRNKCCpgwKVqIrfGLODXnftZcvLX3HWqkm4jMHkXJ4Q47yRAFEKIi9AP\njD/wG97lXU7xr7zJv/CGmZZOCipDtySFMMggFRsqNRznXjKJDdqhV4XmBEDhx0m38nbfabO38rXe\n46w5/Tsag53n/8LE+BjjfIkZQwJEIYS4CO3ntGV7n3F2+wblUv6T+7iaNLJYwKX9npyCAe9zmgeN\n5/ie8QIvUIeqwsK2S4nri+Vridfy7cTrMQZEC892a9x5qpIeaUmc2uRZzCJKEiAKIcQ0ZxgG+4xG\njhhnJ5p8RllkOWYVTuqMZjqN8HOWv6Es4YDyl3iVIj5pzLe0EO03TrOd/WbebiXAwlkJvHZJAU84\n7sWu2vhZyh2DWiH3B5qpC+jn5yLFxJAAUURJAkQhhJjGQobB/aFtXB98nIXBn/Oz0OsA/B23U6F8\nlu9xIxV8lh8Gd7Eo8O84A//G28ZJSxm3cAVnl7BWWMJ8nKRajtnVeZzbG5/i7b5GAEpmf5Ld8wqI\n7XcbmaPEcplt9vm8XCHEJJEAUQghprE/GPU8YxwEwg2A60LVdBp9HKeNFqObT3IpbxnH0fADcJIO\nfhh82VLG3ym3U2Rkk2Us4G+5hX9Q7mSbspplXIESUKEtFnrsdBPkpe7DZr5b4i9jx9zPsSRmHtkx\nl/DM3PtIVeMn7drFOZAxiCJKssyNEEJMY6EBd20Dg58H3+QRdpo9glcaSZZjIkvZRPywdTcV7QcA\nuHmWjdgUG/HBGP5v6DM8qFfh6zt1tvwBz+H9TIKTzyQ4J+pyxPkm3cQiStKCKIQQ09g9SgarlLMB\n2vXGPB42dlrigKNKKw7CLXuziOGH6nIzTQvolLfvMbcf6/gzP2p/DWfzFrL0J1DsIS5TZ4Vbj0Lw\nw5Y/UdNz4rxflzhPpAVRRElaEIUQYpo5YbTzEW1cxzziFDu/V7/E6qCbZ4wDvEsjA1ewUQ3YZ/sO\n79HIx5U0LlfOtigGh7jr/6yrxmyZ9AZPkkKC2fLUR4hfdexjccxcElS5hUw70oIooiQtiEIIMY3s\nMPazMPR/yApt4abQL9CNbmyKSq0RadUbHPAZhkKnEeBa5lmCQ4BF9lSKEm8wt7+ccM2g2cmX2hIt\n2//e/me2qA2ZAAAgAElEQVQWffRL6vtkxrIQFyvFGDigRIyZoiiDxuUIIcT54Az+nAbOBmZf4way\nlAU8EzrILuPMBBLFONuKaIAaVAm1xaEAGxPvZG3iTYPK3dt7ihAGWbGXUtH1Z77TXkUIg+X2y9k6\n+14+1fg0DYHWM0eHC19sT+OjUAcLbLP477R7WBJ7yfm78IvcZNxHFEUB3+PjKySrRO53M4QEiBNA\nAkQhxPkQMgx+1vcmb4WOs0y9gh/E3Igz9G8cYnDLXRKxXBe6lHZ6uI65bDP2hwNFQ4EeG/TEAOHQ\nrnLOfTwQezVdBHgncJrL1dlcYZtjKe9IsJVmo4vFtnnYFZXCJg9bO94dtq4ft6fy/mXfmNDrn0km\nLUD0bh5fIdnFcr+bIaSLWQghpqif9P2JdYFq3Lb3+BvlD3wisJl13EosNgBs/bqCW+nlje6PeLel\njWr/CWiJg85Y5nUmm8EhhDug81uf5Yutz5Hd/N/c4v8fMpq2Utn1Pj/rrOFzLTt4tGM3l6mzWWK/\nFLsSvk18bdY12PvfMgbECEeDbeftfRAT6DxNUnG5XDgcDhwOB2VlZYPSi4uLcTgcZGZmsn379jGl\n67pulj9c/qEMV6amaeTl5aGqKpmZmWzZsmVc5QGUlpaiqqrl9Z3vfCeqcqeqGTXCOC8vj6qqqqjT\nNE1j+/btZGVl4fP5KCoqIjk5eTKqKoSYQU6FOng+WMdcJZH77GefgPLH4BGICZndxe/SyHeNF/kK\ni/lL9UYeNJ7jPRrPFnRmAkKT0gUBFQI2GullecLlvBY4duaY8P+29R4487NCL0G+2+HhtNEFwPO9\n9fQYQdbPvsMs+o74K9gz/0s836VR3uKlhd5w/jN1+0riNefhnRHTQXZ2Nqqq4na78fv9FBYWArBh\nwwYgHFjt3LkTt9uN1+vF5XLh9XpZunRpVOnZ2dlkZmayc+dOampqBqUPZaQy8/LyyMzMxOfzUVNT\nQ3FxMU6nk5UrV55TeQANDQ0UFxfjcrnMPE7n9F7+aUZ0MVdXV1NfX09JSQmhUCjqtJycHPbsCS//\n0NLSQmFhIdu2bRtUvnQxCyHO1alQB9mdv+RDwi1wd9muYmfCVwB4uOdlNqivDZqVjAEpRjz/Y/s8\nfxF6jtNKJ0aPCl0xgBIO3ALhp6IkKnZ2puaT3/IcHyptg8qJFD5biaGdXjPpjpgreCXlS0PW+YFT\nz/F0V725/f05S/jX1DtRFZkhe64mrYu5pmJ8hdxYZKmnpmlkZmaiaRoLFy4EYPv27RQWFtLc3AyA\nqqp4PB7uvvtuAAoKCnA4HDz++OOjpns8HlatWmW5P5eVlaFp2pD344jhyiwqKiInJwdd10lKShqy\nPmMpL5InJyeHRx55hAceeCD693KKmxFdzCtXrqSoqGhMaT6fD4fDYW4nJyfj8XjOWx2FEDPTc8E6\nMzgEeDl4hCf79hEyDL5ivw570DZkPp0e/jpQTWNLCEOPh65YIsFhtjqfTFsqi2wpfDPxeu72u/kw\n0AHBMwGc2V0Y3o7HzhfjrC2At9ovG7bOv5y7isLZi1kZfyWPOe7m544VEhxOFxPcxazrOtnZ2WZw\nCOH7pa6Hx8n6fD4AM7CCcI9d5H46WrqmaWRlZVnOmZOTM+L9eKQyFUXB5XKZwSFAampqOHg+h/Ii\nNE0jPT192DKmoxnVxTwWmqaRkpJi2edwONi7dy9Lliy5QLUSQlxs5imJA/YYlAV28vXAM/QZITDO\nzEi2mcnmjfoUHQOzQq9K7uyF/KNjGbf4f82/99SG8ypAUA0fY+vXNwzsS/smC9UkPm5PZVffUbLs\nl/KjxFuHrXOyGkdFWu44rlpcMBO8DmJWVhY1NTWWfZs3byY7OxsY+l6anp5uti6Olu5wONA0zZKu\naZoZgA5lpDKXLl3KU089Ze73+XxUVlaydevWcyovQtd11q9fbwaNRUVFZhf7dCUB4jD6f/BCCDGR\ngkaIir69fBhqIz/m41yjOHjfOPM3RzE4TIv5s9nPYxkBE77JXxVIQTf8Z2O9EFyuzuE7sz7JG33H\nqQ2efUQeKhAEDAUVxVwI+2pbKum28NjqhxJv4iEGL4EjRDR0XaewsJAdO3bg9XqB8L20f29c/2Oj\nSc/NzUXXdcrLy1m7di0+n4/169eP2OI3WpkRqamptLS0kJeXN2LX8GjlRQLYtLQ0du7cSX19/aBx\nmNPRjOhiPhdpaWmD/jFJ0CiEmAhf7XqO73a/xE96X2dZx6/5r9jPcrd6FQuVJFLUOOvBypn/GAoO\nI4Ea+7f5J9udPGm7n+PtveFu4yAQhFQ1npTYGPYFT7Or50Nrl6ABKUoc30tcwo6k+1gZcxWr4xbx\nYspq9FA3D/n/yFcaX+CZjnrERew8zWL2eDykp6ezd+9evF6v2dPmcDiGvHdGWuRGS09JSaGqqor1\n69ejqip5eXkUFxebE0bdbrc5a3jRokVRlRlRW1tLVVWVOQ/hXMtzOp3ous5jjz3GkiVLWL16NRs3\nbmTTpk3Dv2HTgLQgDsPpdA75D0K6l4UQIwkYIf6r721OG12sibmWdDV8E/lZz5v8v8A+AkaIPwdP\nwZkWkG4ClPW9zC7jSLiAUL9WwwE35MXKJeSol5FDeHzg3ytvcjrUFT5OBb/Rgz/YwxdafktfpMnx\nTBkxQRsHLvkWl5x5Ksrn48/Olr7jRCWv9oRnOf+m8wCfaV/Ic5d8fsRWGjFNnYdH7bndbgoKCigt\nLWX9+vWWtEjw1J+maWaL3GjpEJ4r0NzcTGtrK0lJSVRUVJjp+fn5ZgteNGU2NDRgGAZOp5OFCxey\ncOFCNm7ciMvl4vHHHx9zeRH9xzQCZhf7dCYB4jAGTp+PrJs0nEcffdT8ecWKFaxYseI81UwIMRW8\n1NfAaaOLe+3pONQEc//Xup/lycB+ADb1vsFriV/lub46ynp3ne0KVqD/GjF1hr9fyUo4SFQIB5Fn\nfo7Hzq9jP2+pw3+l3Mtq/7N8FGq3zHTuNfujwzsTDDu/SfmsGRz212cEzeAw4nfdh3ih+xCfTri4\nBt1PJbt27WLXrl2Tf+KxTpT2vQ++AyMeUlBQwKZNm3jooYcGpUUmmFRXV5vLyFRVVZn309HSI93W\nW7duNVsNq6qqLMvJ9J8gM1qZHo+HjRs3UldXZx7f1NREamrqOZUHmGX2XypP0zRLmdPRjFjmJtKM\n/PDDD7N27Vry8vLMD3m0NI/Hg9PppKamhkceeWTQtwSQZW6EmGn+tnMn/7snPDA/XU3mrTlfZ66a\nSMAIEde+yRzfBxBjqCTabbQo3WcmiZyJ5EIACmtirqFHDfDb4MEBZzEsg4BSiac54W+HrM/L3Ye5\nu6XS8ni9/gHjt+NvYGvSPcNez/XHn2Bfn7XHpHLuZ8iftWiYHGKiTdoyN38afjJGVJY9aKlnpPWw\nsrJy0DrBubnhiUwlJSXs2bOHyspKvF4vBQUF+Hw+s0dutPTMzEycTicbNmwwgzGv1zsokOtvuDLT\n09NJTU1l3bp1FBQUoGkaRUVFFBcXD2r9jKa8JUuWoOs6DoeD/Px8cwmeoqIiHnnkkSGD5uliRgSI\n55sEiEJc/Lb17uc/empJVeJ5rq+OYL8g8BeJn+JbcZ/glNHBNZ2b8RvdZwJBw7LQdXh9QhVC4eVo\n8uzplMXdwp+Nk/xHby11oeZwWlAhPhRDd0K3GST+vW05P469k8ZQJ4eCLVxjS2OOGguAp+cweU1u\nUM/UKQSfTkznrb4T3Bgzn18nfdrSyjnQoUAL95x8moOBcDfajbGX8sqlLhJU6WSaLJMWIO7+xfgK\nue3blnqWl5dTWlo65LmCwaC5XVJSwrZt20hLS2Pjxo2DJoWMlN7Q0IDL5cLn85GXl8fGjRujGu41\nXJnV1dWUlpbi8/lwOp24XK4Rg8No61hcXIzH4yEjI4Pi4uJpHRyCBIgTQgJEIS5u3sAJbmp7wmwZ\n7D8LGOCJxM8QUEOUBqtppDO8M6CAEho8kKcvHC3aFZXLlNkcMVqBM49N7rVbWxiDKthDEFLYnfJl\nAoT4rP40bUYvyUocv0t5gNtiL6fHCHDX6Upe7/sIgK8lXMsTqZ+K6traQ71sbPFyMthJTtwlpNuT\nuD3+cuIVCQ4n06QFiK+NM0Bc/m25380Q8hdACCFG8XbwlCUg7P/zx9VUftT3CoeVljPrCwIYKDYw\nIq2I/cxVEjitdBEgxBGl1WwhNAzAFoBA+LnJs4042o0A9NlwKPFcbU9ltf4sbUb4aSctRg+r/G4a\n5hZyiS2Rl+e6+EPPYeKxkRf3MQzD4Af+V3iiYz+X22bzm7n38onYeQB80Ofn26c9HA92YEMxWw5/\n1W5jz2VflODwYnYeJqmIi5MscyOEEKNYbJuHTSHchatYA75jtHHYaO0XB4Z/MBSD++1XW/7Ifl/N\nIaD0W9Cw/71agcvtc7jLfhU/TLiV3SlfxhV/NavjF1GVls9cNZGgdTFEOo0+/tj3IQBxip374jNY\nFb8QRVF4svMAP2/bix7q4b2+Jr58+kUzX0HjC7zac5z6QIsZHAL0EuSP3dYJK+Iic56WuREXH/ma\nKIQQoyjvfZNgZHyfQnhm8ZmWmFCku804s7/fk/GeNQ7ygv1LvGM0skS9lJVqOs/11aHTczZPvyDx\nizHX8dNZZ59Qsi32cwC8H2iiLuDn/5t1O3fpT4Xv02dO+zFbeOJcZ6iPRDXGzHssYH3KyrFgu/lz\nXd/wT6FYHJs24nshhJgZpAVRCCGG0WR08tWuZ3k2eJD+zSdLbJcQS/ixdZ2hgDkjOT4Ua8kfxGCR\n6uBv7bewUg0vGeOyn3nmcf+JKwZcYiTy9zG3m3l7jAA/6XiDa07/gmubfsmipl/w+16N55MfwKmm\ncLkyh5/PuZvZRizOD3/JrCP/wR0fVdIaCgefn090kqycrc/XZ11r/nx/Yob5czw27o6/glvi5rM1\nbSV3xl8x7vdNTGGGMr6XmDFkksoEkEkqQlycvtDl5pnAB2d3GAAKzyfk80DbM/RydpbmbGLAMGhP\n6DLHIsYEbTxrL+De2LMB2YFQEzd0VdCnhizlHon7S660JdNl9PFBQOcfO/7E9p5+5z7jzZSvcFPc\nAnM778QOPN1Hze2/S76Jf0oNP0f5gz4/z3RqXGGfzZrEq82FrwNGiMfa3uZ4sIM1iVezJG7eeN4m\nMQEmbZLKrl+Or5AV35T73QwhXcxCCDGMt4ONlu3r1Ln8fextHFZ0bLEhCIbCM42BGFT89EC3CjHh\nG2hfCD7ft4PmmP/FrDOteR9X07i918lOez3Yz9xoe+x8o/sP/DLpHnL1SuqCw3cBrzr5W2oWfJFF\nMeFFePUzLYYR/lC3+fOimFQeSh78RAe7ovL9JHkq1IwkrYAiStLFLIQQw8hW55s/K8BP4+5mS2Av\n3wv8gS57L8QFwRbEZig8Puse4rGBqkBIDb9Q6CWIbliDuLyYhdAeB22x0BoHPXZe7j3K37TvGjE4\nJKDSQjd5zW4+63+afYEm/lfSUtQz/dVzlFgenL144t8IIcSMIy2IQggxhA+CzbzYfSgc8CmwQr2K\nnX1HqDYOWY7Ljf8YD9uW8ffBV0ibFcOx3h4wzn73vlKZw2XKbEuedbNuotcI8Q8df7KedGDPXWTm\naCAScAKxQQ4brRzuaeXPfadomFfItTGpvN/nZ1ncAtJjkhFiWNI7LKIkAaIQYkb5Zc871AZOclfM\nVdwfe/Wwx73Y10A7fWZg9nrwBD2GEX4+su3sXXa5egVfDTzDR4RnCauxCll9l3LUaGOR6uC5xHxz\n7F+Eqij8/ZxbSVTsrG3/o7m/1whxpTqHo6G28I28xwYhlVvj5vNOqIl2pccy6/nDUDunQ11kx11K\ndtylE/DuXBx6e3vZs2cPy5Ytu9BVmXqki1lESbqYhRAzxsauN/lWxwv8W4+PB9p/y5M9+4c9Nl1N\nHrR9s20B9KnhV1AhFyfftWWbwSGEF9Fel3gLJ5L+ildnf5UUNX7YcyyJucSy/Xyvxgspq0nsjocu\nuxmcbnQsp+1j3+WDBX9BUr+ZyYvtc7lETRzTe3CxO3ToEF6vl1tuueVCV2VqknUQRZQkQBRCzBjP\n99Vbtn83YLu/z8Zm8g/xy7hSnUOObT4bE+8kXrWRG/Mx7jEy+Zmax0txX2SeOovblLNLwzhIYJl6\neVT1SVHjLNt2VC63zebpeZ/jMttsZisxPJpyM7fHh8vLjEnlFccavpWwmO8nLsWTmo+qSIsQQCgU\nYvfu3SiKwq233oqqyu1NiPGQZW4mgCxzI8T0UNTxIlt63ja3/znhdn6YcOuIeQJGiP/Ts4cfdf+R\nrjPL2nzWnsFzs/PNY9qMHv4l+BatRg8P2pZwjTo36jr9sO011ne8SSw2HkvK5ZuJMslkrI4dO4am\nadx6663Y7dNz5NSkLXNT9cT4Csn7utzvZggJECeABIhCTA9tRg/f7ahib/AUd9mv4meJdxGj2EbM\nc3/HDn7bZ12PUAG6kx8idpS80eo2AthRsSvS6jUWhmHw1ltv4XA4WLRokbk/GAyyZ88ebr755gtY\nu7GZtADxpXEGiKskQJwppudXLSGEOAdzlDj+e/Znoz6+xegZFBwCXKHMmbDgECBekT/FY3X69Gne\ne+89brrpJhISEsz9R48e5fDhwzIGcTgySUVESb6uCiEuak/17udL7c/yo64/0m0ExpR3FjHED/ge\nPYdYnp21eiKreF51hQLU97XQY5x96os/2M2uzg852td2AWt27vbu3cvJkye58847zeAwFArxxhtv\n0NfXx/Lly6dtV7MQU4X8BgkhLlq/66vnix3Phjf64Fionf+dcDdP9u0nHjtfjr1uxJZAu6KSZ/8Y\nzwXOTmZZqCYzn9mEDGPKTxB5r6eJvOPP8FGwg3R7Ei9ffj8vdx7j243VhAwDu6Lw3ILPce+sj13o\nqkaltbWVvXv38slPfpLk5LOzzI8fP46madx8883ExMRcwBpOA9I7LKIkAaIQ4qL1St8Ry/bLfUe4\nLfhr9oWaAHiybz8vzHINWqewv8K4JZYAsaGrnQVNW1kck4Znwf1capt1fio/hFOBTh44+Tve7D7J\nrfHz+aljOXWBFj4RO5fFcWmDjv9h8+t8FOwI1zvQyo+b3+LXbQcIYYACAQzWnn5tWgSI+/bto6en\nhzvuuMPc138M4vLlyy3HBwIBaUUcigSIIkrSxSyEuGjl2Odbtq9S55jBIcAfAg18aIzczfq5mEye\nmfUA34ldynV9l9DeGQLg3b4mfqLvmfhKD8EwDJ7t0Mg/+Xt2d39EgBCvdh9n2fFKvnLqDyz98Df8\ntt26ZM/j+ju81X3Ssu/p9nr6CFn2haZ4xNDd3c0rr7zCvHnzWLp0qbn/xIkTvPrqqyxZssQyQQXg\n3Xff5cUXX5zsqk4PhjK+l5gx5OuVEOKiVRB7LSdDnTzdd5BFaipfj1vM8vb/MdPjsZOixI1QQth9\nMYu4L2YRK1rcQKu5vyPUdz6qPUhR4062tr03aH/wTHAXwOArp/5AXfw3WGCfxX/ob/O9xlfOHqgA\nBuhGL6m2WPyhXiDcQvAvc+8YVO5UUVdXR1NTE3fccYfZymsYBnv27CEpKcnSmgjQ2NjI22+/zbFj\nx0hKSroQVZ76pvb3ATGFSIAohLiofT8+m+/HZ5vbP4u/i3/o3k2CYmdzwj3MiSJAjFibnM3r3Sfo\nJUiyGsv3kz55Pqps0R0KDBkcnon5TJ1GgPX6Hn4+905e7jo27IGpSjwb593Gob42vp18Hc4p+Ozm\nQCDA66+/jtPptCxV09jYyP79+8nJySEx8ewTZILBIG+99RYnTpzg9OnTHDp0iF27dvGFL3zhQlRf\niIuCBIhCiBnlb+Jv4m/ibzqnvJ9JTOfdK77C/l4/2XGXcLl9tiW9rk+nuusomTEprEy4ciKqS6xi\nI0mNpfVMqx/A95Ju4L5EJ6tP/p5242wrZlcoQHOwmze6P7I8s7l/kPiNpGspTJ66i3EfOXKEI0eO\nsGzZMmy2sxOIfD4fCQkJg1oN6+rqqKur48SJEyiKwhNPPEFsbCwZGRmTXfXpQbqJRZQkQBRCiGF0\nhwL8oPkV3ug5wbK4BfxL2h0sikllUUzqoGPf6T3NsmOVZsD2U8dy/jYla9x1UBWF31xyD1899RJt\noV7+MvmT/OuZbuHt8z/NfR89Rw8hHGo8RUmL+UHjH/nwzMSU/u6f7eRrc67h/tlTM3AyDIPXX3+d\n+fPnWyacNDU18e6775Kdnc3s2WcD8siM5uPHj9Pb24vH42Hfvn1ce+21fPjhh7zzzjsX4jKmPgkQ\nRZTkSSoTQJ6kIsTFaV3za5S3eM3th5Nz+InjtiGPfbh5Nxv0s8cuiknh4JVfn9D6BIzQoKetVHUc\n4fuNf0QP9tBtBGkxeqyth0CiYudU+oPMUqfmEjAnTpzgwIED3HrrrcTGxpr7a2trsdvt3HDDDeY+\nwzDw+XycOnWKI0eO0NjYyHPPPccll1xCIBDg1KlT+P1+EhISeO+9wV3zU9WkPUnl2d+Mr5D7viz3\nuxlCWhCFEGIY7/U2Wbf7moc9dp6aYNm+5Mx2Z6jPnHncZQS4LsbBNbGOc6rPUI/i+0Hjaxzo1Qcf\n3K9b+Sdpt07Z4HDPnj3MmTOHO++809yn6zp//vOfWbJkiWW9w6NHj1JXV8eRI0fo6elhx44dtLe3\nc/nll3Ps2DH8fj+9vb1cc801XH311RficoS4aEiAKIQQw/hU4kJ+33Xo7HbC8OsFfi/5E+zu/ohn\nOjUyYpKpmHc3baFelh9383bvafO4GFS2X/ppPjfLOSF11PpaBuxRwDDIsCdz/2wnqxKvIm/WVRNy\nronU3Nxsdh3PmnV2Lcm3334bwzAsAWNPTw81NTX4/X4OHz7Mu+++i8/n47LLLqOrq4sDBw7Q0dHB\nvHnzWLx4Mbqu89RTT/Hzn//8Qlza1CZdzCJKEiAKIcQw/jLpk8xRYswxiF+bc+2wx8YpdrbP/wyG\nYZhLsvyqbb8lOAToI8RPW3wTFiDmz87k120HgLONhklqHL+an8dtCQsm5BwT7Z133sEwDMuEk7a2\nNmpra7nhhhtITT07xvO9997j1KlT1NXV0djYyAsvvEBsbCxJSUkcPnwYXdeJiYnhtttuIz4+nhdf\nfJH29nZL0Cn6kd5hEaUZtVB2Xl7eoH2aplFeXk51dTXl5eW0tLRElSaEmBm+Mec6Hpt794jBYX/9\nn8oSP8xj/OaosUPuPxe/nL+Sf7/kTn7kuJHXrlzNn65czQcLvzolg8OOjg5eeeUVLr/8cj7xiU+Y\n+9977z3q6uq44447zODw9OnTvPbaa+zbtw+v10tVVRXPPPMMSUlJtLW1cfToUZqamrj++uu56667\nePvtt6msrKSnpwdVVS1BpujnPC2U7XK5cDgcOBwOysrKBqUXFxfjcDjIzMxk+/btY0rXdd0sPzMz\nky1btkR9uZqmkZOTM+b6DGUsdYy2zKlsRrQgVldXU19fT3V19aC0goIC9uwJPw0hJyeHBx98kMrK\nyiHTCgsL2bZt2+RVXAgx6YJGiGPBDuapCSSo4/sTuXpWJvclpvNsZ4PZuneVfQ4/dSwfLWvU7IrK\nd1NuGP3AC+zAgQO0t7dbuo47Ojrwer1cd911zJ07F4BQKMRbb71FZ2cne/fu5ejRo7z55pvEx8cT\nExNjthouWLCA5cuXc/ToUZ588klUVcVmszFr1iwUReHUqVMX6lJnnOzsbFRVxe124/f7KSwsBGDD\nhg1AOLDauXMnbrcbr9eLy+XC6/WaT8YZLd3lcqHrOjt37qSmpobi4mKcTicrV64csV66rlNcXDzo\nUZqjnW8oo+XJzs4mMzPTrGM0ZU51M2oWs6qqhEJnHzPl8/koKyvjpZdeMvc5HA6am5tHTBtIZjEL\ncXHwB7tZ+dHT1PY2kqbG8/z8z3FL/Phb4o4F2pmtxNBLEIcaj22IySYXq97eXt544w2uvvpq5s8/\n++jD/fv309HRQXZ2tnkD1zSN48ePc/DgQQ4fPsybb75Ja2sr8fHx6LpOc3MzNpuNZcuWEQqFeOml\nl+ju7sZms5GYmEhMTAzt7e0AzJo1iyNHjgxZp6lo0mYx73hyfIU88EVLPTVNIzMzE03TWLhwIQDb\nt2+nsLDQvF+qqorH4+Huu+8Gwo0vDoeDxx9/POp0n8/HkiVLACgpKaG5uXnEBpvS0lLKy8uBcPBW\nU1Njpo12vqGMlMfj8bBq1SpLfFFWVoamadO6UWnm/JUagqZppKSkWPY5HA5qa2uHTdu7d+9kVlEI\nMYn+tWUvtb2NADSFuvnrplcnpNzL7bNJtsUxz5Y4o4LDQ4cO4fP5uP32283gsKuri1deeQWHw0FO\nTg6KotDe3s7u3bt5//33qaqq4tVXX+XFF1+kp6eHQCDAsWPHOH36NIsXL+auu+7iT3/6E7/97W8J\nBALExMSQkpJCb28vra2t2O12FEWxrJko+pngLmZd18nOzjaDQ4Dk5GR0PTyz3ufzAZiBFYSHe3k8\nnqjSI+X0n83ef5zvcB555BE0TWPdunWWgHa08w1ltDyappGVZV3zNCcnZ8Qyp4MZ0cU8nKFaAyP8\nfv8k1kQIMRV0GYERt6eDgBGiPdRHii36RwhOtGAwyBtvvMGVV17JLbfcYu4/ePAguq6bz1Y2DIPa\n2lp6enp47bXXaGpqYs+ePXR1dWGz2Th9+jR+v5/LLruM5cuXs3//fl555RUMwyAuLo7Zs2fT19eH\n3+8nNjaWmJgY4uLiuPfee+ns7Lxg1z+lTXAjZVZWlqV1DmDz5s1kZ4cfbzlUY0t6erp5/x0tPSUl\nhdzcXEpLS9m2bRv19fVUVlaydevWEeuVnJxMcnIyTqd1Mtho5xvKaHkcDgeapg3KEwlup6sZHSCm\npaUN+gCbm5tRFAWHwzFkmhDi4lWSdAP/3f4+J4Kd2FH5u5Qbx11m0Ajxz817eK3rI26Mv4Qfp91E\nzDB35wUAACAASURBVDCTVwbmO9Cr47DFMd8e3YzcVzuO8/mjv8cf6uFTs6/i6Ss+TZw6+rkm0rFj\nx2hoaOCWW27Bbg/fYnp6enjrrbdYtGiRuT5h5LgPP/wQn8/HkSNHOHjwIAkJCXR3d9PU1ERsbCy5\nubm0tbXx9NNP093dTXx8PPHx8SiKQktLC3a7nfj4eFRVZdmyZcTHx1NbW8uKFSsm9bpFuLWvsLCQ\nHTt24PWGF41vbm7G4Ri87mfk/jpaOsC2bdtwOByoarj13eVy8cADD5xTHaM531jz5Obmous65eXl\nrF27Fp/Px/r160dt5ZzqZk5fxxCcTueQQd+SJUuG/UYRGQMhhLj4OGOSeeeKr/DC/PvYd+VXyZ+9\naNxl/tRfy6NNb+HpPMr6Zi+PNr01ap7uUICVR57heu3/ceUHT/Ar/f2ozlX40cv4Qz0AvNB+hP/U\n94+r7mNhGAZvvvkmXV1dLF++3AwO6+vr2bt3L8uXL2f+/Pn09fWxe/du6urqeP7559m9ezevvvoq\nDQ0NqKrKyZMnaWpqIisri+XLl/PSSy/xu9/9jmAwyJw5c4iPj6ejo4POzk4SEhJQFIXrr7+eT3/6\n0xw+fJjExETWrFlDd3f3pF37tHKeZjF7PB7S09PZu3cvXq/XvFcON3Y/0iI3WnqkC7u4uBifz0dV\nVRVer9ecKe12u1FVFVVVWbRo9N/X0c43VHmj5UlJSaGqqor169ejqip5eXkUFxdbusWnoxndgjhw\ndpGmaeZSOAPHE/RPG8qjjz5q/rxixQr59irENDXXlsC9iQsnrLyabuts2j3do8+ufaq1jlc6jwMQ\nIMRfnXyVb6RcM+zxXaEAXz/u4WCftRWkNdR7DjUeu8bGRvbt28fNN99MfHw8AH19fbzxxhs4nU5u\nvvlmIDwxpaWlhd27d9PY2MiBAwc4fPgwcXFxdHZ2mt3Jixcvxufz8cEHH5jjCVWbjbbObhQjxOxZ\nifT19XHVVVeRlZWF1+ulra2Nb33rW7zzzjs0NjZO+S/zu3btYteuXZN/4rF2Mb/3Xvg1ArfbTUFB\nAaWlpaxfv96S5nQ6B7XOaZpmtsgNl56WlgaEA09FUXjsscfM9M2bN+NyudiwYQP5+flm9+5QrXwD\njVafocobLQ/AypUraW5uprW1laSkJCoqKqKqz1Q2IwLE2tpaqqqqUBSFsrIy8vLyzOnxW7Zsoby8\nHKfTSU1NjWV9pZHSBuofIAohRMTtCZexvb3e3L4p/lJzkH1bqBc92MMV9tmW7qggIUsZoTN39X09\nzXzQq3NLwnwutSea6eVNtbjbzpzjzHo6l9ln8ZXk8/+4udraWuLi4izL1zQ0NHDixAluu+3/Z++8\nw9uo7z/+Ou3hIcsr3jNxduLY2QtIwiyUldABLW3JgE4KvyZQaKGLEEoXLYQApYy2kAGEEQKxM0p2\nbGc5w44tj3gPWZZtbel+f8iWrTjDaabLvZ7HT3Tre987Kbq3PnM6MpmM1tZWjh07RlNTE9u2bcNu\nt7N3716USn/7v4aGBtRqNddffz21tbWsXbsWt9uNXq9HoVBgd7noaO8CuQp8EBFrYMHN17N7924q\nKyt56KGH2L9/P8XFxYwcOZL4+Hjq6+sv+bVfCKcaEp5++unLc+Lz7aQycrT/r4e1a/vtsmDBAlas\nWMGjjz7ab1uPsSU/Pz/w3N20aVM/Y8yp2+fOnQucPrRLFMUgwdY3QeZcnGs+pxvvXMf0uNZfffXV\ngNVw06ZNzJ8/f8Dzuhr5UpW5uVRIZW4kJCTOhCiKvGA5xDZbLUecZkpcFmLkWh42jufp1r04RC83\n6JL5MPEWBGBl2xFeNh/hhNuCCx8yBF6InYlRruHe2k14EYmWa9mReidD1X4X15L6rbxs6bXyZCjD\n2JV6N9EK7RlmdeG0t7cH+iWHhYUBvckpycnJJCUlBWoaArz33nsBN3RbWxtyuZzOzk7cbjfjx49H\nq9WSn5+PxWIhJCQElUqFz+fDbrfj8slxe0RQ6yB1Mrr2cnJSjSxcuJDDhw/T1NTE2LFjSUtLo7Ky\nknavmrrEa4gK1/OzaxIwaK9+W8hlK3PzzpoLG+Rr84Pm2WM9XLNmTT+Xao/IW7JkCQUFBaxZs4bC\nwkIWLFjQr2zNmba3t7eTlpbGggULWLRoEWazmcWLF5Obm8u77757zumuWrWKVatWBWoaD2Q+p+Nc\nx2RmZpKens7y5cvJy8vj2WefpbCw8LzE69XG1f+/RkJCQuIqweRqp8DZxBhVJCPUA3MfCYLAjyLG\nIYjwXoffddXktfPzlt0By+Bntmr+ZS1lvbWCDzor/Ad2P4MfjhzHQ8YxjCt/B2/3ymavnZfbjvD7\nIdMB+HrYUP5uOYa72/L4E+O4SyoOjxw5gtvtDmqVV11dTU1NDVOmTEEulwdqGhYVFVFZWUljYyP7\n9+9HpVLh9Xoxm80kJiaSlZXFjh07qK6uRq1WYzAYEEWRzs5O5HI5arUan0+BO3kMtDdAcylJN97H\ntSlONmzYwNixY5k+fTomk4n9ZXVkz72Hb687SUejBbCwtdzKzh9c/YXEBysVFf7P66nWMkEQ8Hq9\nAKxcuZIlS5aQk5NDZGQka9euDRJjZ9seHh5Ofn4+S5cuJTc3F4PBwOLFi/u5ss+EIAj9kkXONZ/T\nca5jeiyGubm5zJs3j/z8/EEtDkGyIF4UJAuihMT/PrvtDcyp+QCb6EGJjPfjb+aWkNQBH//rln38\nomVP8Mo+z63no6fzSOPO4O0ifMcwnL/Hz2FaxTp22RsCm34ZNZGnYiYFlgvtTWyx1TJKbeSmkJTz\nubQBY7fb2bdvX7/OJ7t37yY+Pp7U1FS6urooKiqira2NrVu3IpfLycvLw+v14vF46OzsRKPRMHny\nZEpKSgJ9mUNDQxFFEYfDgc/nQ6vVIpfLmThxIhZrJ0WmRhzDv0KIws1keRXTcseSnZ1NVVUVer2e\njUzgvVJn72StjRAW63/568mEai5vNvf5ctksiP/u7yI+L75+t/S8+5IgWRAlJCSuCKIoctBqQSnI\nGBV29Wf7/c1yGFt3XUQ3Pn7QtI0DzhZ+FDF2QL2V7wvL4q9th2jy2v0rRAICUYWMRHkI4TIV7ack\nltwe6q/j9pchM7m5+mOavXYmaWJ4OHJc0H452hhytDEXdpFnoaysDLPZzMyZMwMWmZqaGiorKwMl\nbfbv309XVxeffvopgiBw9OhRKisrAx1ORFFk3Lhx+Hw+1q9fj8PhIDQ0FACHw4HX60WtViOXyxkx\nYgQajYba2lruuusuvh0by/qPNzA0I53Zs75NdXU1ra2t3H///ZzokLPoL4f9E7U2QEcThPk74KRE\nqK96cXhZkbSdxACRLIgXAcmCKCFxdtrdLu4p2MkX5mYmGoyszpnGj4/s551afyu0n6QP44+jJ5xj\nlCvL9xu38WL74d4V3f/lp2vj2J58FwCFjibMXgfTtXHoZMp+Y9R7uviss4oH6rfg7TuICAICD4SP\n5HP7SVo8dnI00fw8KpfrQ5IDx7tFL2avkxi59rLVWPN4POzatYv09HQSEhIAv9Vwz549xMbGkp6e\nTl1dHWVlZRw+fBiTyYTVamXHjh3IZDJcLhddXV0kJCSQmprKf/7zH1paWgKt8bxeL06nE6VSiVKp\nJDk5mbi4OGpra5k0bQa7PBmUbv+YxCHR/PbBu2luqEej0XDnnXcGrJiFNZ3k/iYfrPUQGgNhQ8iO\n1xMdouRPt6UyIlZ3tku8KrhsFsR/rruwQb55l/S8+5IgCcSLgCQQJSTOzsPFRfzJVBpYviU2nk8a\n64L2qZp7K8m6gRWEvhI0emzcUPshB50t/awwLZnf4wXzIZ5u9XeUGK+O4ouUOwmRqfhtawGvWY7S\n6LEjeGWM1USyy17vtx52ZxwHEGFP2t1M0sVerss6K1VVVdTU1DB16tRAkeIeMThlyhQEQWDv3r20\ntLSwfft2tFotn3zyCTabDa/Xi8PhQKfTMWHCBIqKiigvLw/0Te5JQOnpgBIVFcWwYcOorKwkOzub\ne++9l4W/+DMnrV5Imw52CzePjeG1x+4P6unc0NCAyWTiL/tdvFvpt+Q+dl0Cv7vp0rjZLxWSQJS4\n2pBczBISEpecOoc9aLnF6ey3j+wq7zoQq9BxIOVrfGGrY/bJ9wK6LkauJURQ8tvWwsC+B5wtLKzb\ngkv08Z6tt8QNAuyyNYAggCgGuZl7Bix1Wa64QOyJK4yLi2P6dH8iTE8GstFoZNasWRw7dozq6mr2\n7duHy+WipKSEo0ePIpfLcTqdyGQyRo8ejdVq5f3338fr9RIWFobH48FmsyGTydBoNOhCQhmSOgxH\nWwOCIPC3v/2N1157jVdffRVzbA7oOsHdBZmziJ4yOiAOm5qaKCsrIzY2lmnTpjFtGvy62Y5CLpBm\n1FzJ23d1I2k7iQEiCUQJCYlLzn2Jqayrr8ErigjAj9KH8nlzKG+crARgdGg4uds+Z3RoOG/nTGGI\n5tJl4F4oMXItMoRARnGETI1SkKMW5HjE3vqF77SX+cVf3/C3IA3cbT7s88A2yDTM0sVfwtmfm4aG\nBkpLS5kyZQoqld8i19jYSElJCZMmTcJms7Ft2zaOHz9ORUUFVquVLVu2BKxKNpuN+Ph4IiMj2bFj\nBzabDZ1Oh0wmo6urC1EU0Wq1qNVqwhMyOFHdSMPJdoxzfkCucIDnn3+eG264gaP1Nrp2t0D6TDD4\n4wnvGGOktbWVkpISoqOjmTZtWtDch0ZfvZ+bq4bzrYMo8aVFcjFfBCQXs4TEudltbmFnWwu5BiOz\nIv3JFMc7rPy9qpznyksC+90Zl8i6STOu1DTPyUMNW3mpvbh3hQgV6d9ip72e7zTk4xJ9ftHn634Q\ny8VeYegTUPsUOLsjEAFuCUlmui6ONq+T+w3DGam5Mt0XRFGksLCQ0NBQsrKyAuv27dtHWFgYWVlZ\n7Nmzh8rKSoqLi1EoFGzcuJGWlhZ8Ph+iKKLRaBg+fDi7d++mqakFQS5Dq1bj8bjx+XwolUq0Wi1p\naWl4PB6OtPpwZd8DtUegtYLrrpnJ7dkJKJVKhKQclmz29E7QYeWjOzRkJsYyfPiZu8oMVi6bi/nN\n9y5skG/dKT3vviRIFkQJCYnLwhRjFFOMUUHrhoeGYfV6gtZV2bou57QGRJ27i0p3B6PVRqIV/d2X\nRZ2tuN0yipK+ToRSSa5pLfU+m3+jF5JkobS5XYxURvKPjGuocFlZbS1juDqCn0SORSO7cl/FXp9I\nUWUNDWWlXDd9Cnq9Pw60paWFI0eOkJubS1NTE+vXr6e8vBy73c7Ro0c5ePAgoigGhF9aWhrV1dV8\n8skn+ACfTAkeL51uOyq1gtDQUOLj40GmxO4R+f6iRfzi/UM0H1wPMUMhbTJhYeHMnTuXESNG4PT4\neMt0hB0ljdBqAk0Ivzw8mu2zL7w/toSExLmRBKKEhMQVZX58Eq9WmfB2WyXuSUg+xxGXl40d1dxZ\n/Rl20UOyMoRtqV/lHWsZpS5/q6+pynjuOroVAINcxa5xt7DUkMPDDTsQBRGFU81JpxeQsxcL7+oq\neSolm5vDrnwShc3tZfrz73KgqRNNUgb/Su3ijmF6CgsL0Wg0TJw4kZ07d2Iymaiuq+dEdS0Hd36B\ny+XE5/O706OjY5HLBbZv347b7UatVtPlEsFjB0EOSg1CaATpaUOobbNTFz0BtOE8/Pwb+AxJkDkT\nRJExuVN486k7CNXIsTo8vLilknTnCXZ02iDBX+i6qLaLnZWdzBl69ZdFumqRXMwSA0QSiBISEheN\nGruNX5UU0+X18uP0YUyKiDznMXOih7Bt+nXktzQyKjScu+KTLsNMB86TTXuxd9c/rHZ38re2YkrS\n76XCZUUhCEzdvyGwr8Xr4u3mcvLa6hE71AB4ICj28ITDehlnf2Y6Ozt58p2NHHBqIC4ah8fH9z/c\ni3FiKBMmTKCsrIzVq1fT2NhIlbmDlavfR7S0gs9DQrgel0xNsyeUqoPF4HWhUSnQaDQ4HA7wiaDQ\ngjoEdOFoNTJyJk5inykSjn4KIVE4kmcAIgwZBbHDuP+mVEI1cto7Opn8+PuUWICoDIgKFjRGnfTY\nuiAk77DEAJH+p0lISFwUvKKPuTu3UNLZAcBHDbUcue4mkrSnL11zxNrORw21pOj0fC0hmemR0Zdz\nugNGHpxZgqx7OU0Vxqa2WmqdtiABaFSoUQuyM453e+SVt5AeP36crq4uUrMnQVt3/GddOU6tmqys\nXDZs2IDZbMZms7F37142bN+D6HCCIAOlGltING0mE7hM/mxsuRKXy4Xb7Uan06HR6uhQGHC43BiS\nh/H8T+9nzdt/B9MxyJgN+CBuOAwZGZjTv/bVMlVVRU2HSIkiE6K7b6pPRKMS8Pjgl9cnkp1w9ZZC\nGhRIFkSJASIJRAkJiYtCk9MZEIcAHR4P+y2W0wrEYquFKf/Jo6s7/rDQYub3o7Mv21zPh2eHTOW2\nqk+x+lwMU4UHdTB5r6XK/6K7XE2YTMlDccOZERbLzcWbaPU4Gakz8MP4EZQ7OrgmfAi3GC+/hbTC\nYuPlg7Uk6WSMttUwfPhwhg8fTrrDzUu7jlNy5DDEpnJfjI3169fjdrspLS0lPz+frq4uvG4XyBSg\nD4VOC22lh8ArgkwOog+8TpQaLeFhoURFRSGTyZiemcnXv3kva959h5Wvvk5M1mRmx4ts64qH+DG9\notrrhsbjGEIjmTLlTpo7PajzinB6/KYuhUzG8Z+NI9GgRi6TxI2ExOVCEogSEhIXhWiVmhStjiq7\nPzlDI5Mz+gwt9N6vrwmIQ4B/1lRdtQJxtj6eyqx7qXV3kqkKD0ooSdeG9u4owjxDPBqZgkmh0VRN\nmk+jy0GSWo9SdmaL4qXmSEsH49/Yg6elDjrauG7GdPJn++ss1pw4zj+mRFE6cjpVB/cRI1dhsVhY\nv349dXV1OJ1ONBoNCVGRVLbboaEKfD6UChluH+BzgSBHrgsnJSEWlUrFkCFD+Na3vkV+fj5vv/kG\n1ogs9rV4wByDOmU8H/xkGMkGDa2ddhb+9VMau7xMmj6Vt+/LQhAEYkKV/PveoTy8vhKfCMtvSSZF\nqmt48ZBczBIDRBKIEhISANi9Hn5afIB9llZmRkazYuT48xI2CpmMTdOu5bGjB+nyenk0M4t0fchp\n900+xaqYpL18rdAKu5qZX7mJSlcHCUo9vxySwwNRI856TIRcTYRc3W/9T+JHccJuZWNbLaN0Bv6W\nOTWwTS9Xkq7t327vcvPEtlI8pmKIiIbUkWw+2UarpZ2jhw+RmJjIwYM7cNrtxOhUbNy4keLiYrq6\nupDL5YSFhaHX6zlx4gQqtxuv4EOulOF2u5EJAip9KPoQA7HGUCIjI7nnnns4duwYq1evZsyYMYwf\nP57lxTrIHg2CgNMLD64up6m8mOxEPQXLFxAZ0v++3jHWyB1jr0y5n/95JBezxACR6iBeBKQ6iBL/\nC/y0eD9/NPXWI3wqazS/zBp9Sc4liiI/OlzEO7XVJGt1/DNnKtWOLuqcNm6MjmeI+tIUPK52dTDs\n6Ls4RW/Q+teTr+H+yKygdYe7zLxUX0KIXMHSxDFEKgefFaumpoZbX/2UA9okkPsrdguNVez7WjZN\nTU1UV1cTEhLC/v37+fTTT+ns7MTpdBIWFoZOp+PkyZN0dXXh8/kQBAG32w2AXq/HYDAQGhpKREQE\nN998M1arleLiYtLT00lPT2fs2LFcd911zH7xCF+YOvyu6MbjfgtWTBbIFPxk1hD+eHvqlbtBVxGX\nrQ7iq+svbJAHvio9774kSBZECQkJAA5bLUHLxdb2S3YuQRB4YWwOL4zNAeCJkgP8tvwIAHFqLfum\n30iC5uJbFf/eWtJPHAJs6qgJEog72xu5tnijv+g1kGepo3D8bQiCQKPLzl3HNrOvo4UZYbGsHXEt\nEcr+VrDLxQOfHuGfxxrQKmS8dctobsmIDrTFq/VpOBiS6hdlLgfUlLIoO5U9e/YQERGBzWbjjTfe\noL6+PtDxJCoqCrPZzMmTJwF/272eP7VaTXh4OAaDgYiICGbOnIlWq2XHjh0MGTKEa6+9ltGjRzNv\n3jzk3YL0tQXp3L78Q2rabOgzRlPf6aMnALGxw31lbtqXGcmCKDFAJIEoISEBwA0xceS1NAaWr48Z\nctnO/ZeqXstlvdPOuoZqfpR6+m4Zf209zKcd1YzSGPlVzMTTFpl2eT2Uuzr4pLOKE652Zuvj+IZh\nGO4+rfD64nD7O4EIgkCVvZObivMC4hBgf5eZFo+TaKWGpRUF7LA2AbC5vZ5fVO3nhcwpF3L5/zWv\nH67lteI6/zV4fdz+wUHqvjWOY8eOMWnSJAqPNiOKzdBUDZ3t0FLLFGUkKr2BNWvWcPDgQWw2G3K5\nnMjISFraOqirNyGXEbAWer1eFAoFkZGRGAwGjEYj48ePJyEhgYKCAnQ6HbNnz2bs2LHMmzcPmUyO\nTOa3hh04cACn00nR7+5ArVbz7v4Wvv52GaIICpnA/ZOuzsx1CQkJSSBKSEh082jmcMKVSn8MojGa\n+5LSLtu5o5QaOjydgWXlGcrEvNF2nB/WbwdgQ2c17V4XSYoQPumoZoTawB/jp/Hdqm28ZzWBIEL3\nMKvMR+n0enihMbhFHj7AK+O9hmrS2tawKnM6dx7dQpfP7TdydRtbohUaIhT+vsQNbnvQnBpPWb4U\neHw+PqswA3BDmhFFd2zortpgK6/n5AkqamOYNWsWANlGNbKKw/jamsHRxciMVEpKSli/fj1WqxWn\n202EwYDX46HUVIXX4wWvMzCeTCYjPDyciIgIIiMjSU9PZ8yYMRw8eJCWlhZyc3PJycnxC0O5knv/\nWcbqAy3EOav57fXR3HP9VLTa3nCBe7KjSI5QU1TTxbTUULITpZI1lx3JOywxQKQYxIuAFIMoITEw\neqx0p/J5cx03FWyhx2Y3Qh/G/uk3o+52U/bwYN02VpqPBpYTFXpqXDbA3+9YLchxer2A4BeIfU51\nY0gSGy21wSd2yMHXrSJFSFDqqXX2CD7/8QpBYPOYG5kZ7reorm6u4OvHt+FDRI7Ah6PmcPMlLF3j\nE0VuXXeADaZWAG5Oj+Sju8YjEwQ2V7UyZ3UR2LugvpywtCzaf/YVAEpLSzl48CCbj5o46FSjsnfS\nsf1DWpoacTgcdPqU2FyAvQ254MXrcgO9VlOFRkd8TBRGo5GEhATqtekcO16GWrQx/5oJ3DhnNu6U\nHASlmtuGR/KPfc08uDIPXDaIzmR8aiT7Hxl7ye7L/xqXLQbx5Y8ubJDFt0rPuy8JkgVRQuJLiCiK\nPHLkAG/XVJKk1fHWhCmMDA3nHydN7G1rZVZkDF9LOHcruLdqTaytP0maTs9vho0jRHH6rN0uj4cF\n+3byWVMDI0LD+GDyDDL6ZDiHKJT0df4e67JSbutkZGhwmZxp2iGspFcg6oXu83Vb+5x4QY6/Rt8p\nnHR2IUfA22NCEQmOxxLwWw77rEhW6Xl3xGymhMUE1i6ITiNRraOwo5WpYTHkhgb3l77YHG7uDIhD\ngA2mFr7+0WHmpBhZODaB3w1T8Op+C3EzZ/Kvr4yhpKmdG599k8pjhxmdnsQv546j9V9vs2/fPpxO\nJzKZDLU+lKbaRvC4wCfipe91K0ATRlxCFBnJCUybNo1X8o/TVF8A4QnYU2bzlmIS1ZZoPiuoAGC8\nopnscAFCh4DabxVs7gzusS1xlSBpO4kBMqgE4v79+1m4cCEFBQXs37+f+fPnA7Bs2TIeeOCBKzw7\nCYnBwzu11YGM5WaXk3uLdnNfYgo/PbofgJeqyrB5PXw3OeOMY3zSVMu3Du4KLDc4HbyTPeO0+/6+\n7DgbGusBf/LLDw4W8um02YHtyRo9apkMZ3d/31C5gjhNb9Zwoa2ZN82lqAU5BtRYRL8btMRuCbiR\ngxDoFoDdyz6BI852/pV2LfdXbvPHF7pl4BOCrIwPxA7jpbpSunwektV6vhh3E8ma/qV6poXFMi0s\n9oz35mISquprRfW7zVeXNrL6SDV7d25n+fy5PPbVawEoLy/njqf/SqXVB/HDKD52iEXrX0cn+ruc\nhISEYG63Ym1q9Yton6t3aJkMlGGgDSE6Noavf3Uudrud7bv20tSugjFfhaRcUOtxCCKflbVBazXY\nrRyISmHZnRP5oLWSNrs/CejBaZfn/khISFwaBpVAfOaZZ8jPzw+83rRpE2lpaVx//fWSQJSQOA+q\nu4tZ91Bh6+DJkkNB6z5tqj+rQNzV1hy0vKOtGbfPx29Kj3Cw3cKc6Fh+mD4MgGanM2jfplOWE7U6\n1oyfyZMnDiEXBJ4bnk2EUo1H9PFY/R7+2HIIr69b7cn6uI5lwKke6x5R6BW6RaJ/pxCZkvnGDBYY\nM3inuYL9na28UHcMV3dW880RiTyXPolHE8dQ5ehkhM5A6BksopeTdIOO5bMzeWxbWa/Bs7kWHJ0c\nTZ5IVFQUbrebf//739TU1OCNTgFXM3z2GrQ3Y5OJhIaH4PP5qK6tw+MRg+IMAdCEoAwNZ0xqPJMn\nTUarVnHgwAEMBgP3fed7bNthgDC9/157fNBSg0ArYkQSdLcOHBOnY/8jY9lU2k5KhIp5WYbLep8k\nBohkQZQYIINGIBYVFVFUVMSyZcsQRZG8vDyeffZZAEwmEw8++CAvvfTSFZ6lhMTg4LYh8fyi5FAg\nU1cjk2NxBZccGRESdtYxphiCXatTDVE8dvQgz5f7LZPrG2rRyOR8JzkNh9eLjN4It8Vp/YXnrbGJ\n3BqbGLTuvqrNvGMt8y/I8Pf97SsI+77u++DzCiD6uybLBBl6QcFsbQJ/qTnGjxJH8M2YDL4Zk8Hi\nuOHssjYxWhfBhNBIAGJVWmJVl6YO43/L0smp/HBCEit2l/H0vz+BqHiITmBUVChHjhzhrbfeIjs7\nm2nTprF+xV9g+xfg84EgEqbVYDab8fl8eJxuoE+ZH4Ua9AbQheCOzyRyRApVFSZUKhX3338/TpGC\njQAAIABJREFU8+bNIyoqil/X7aWq3QltddBpBn0yX581jrXHmvGKIr+em8rIGL9r+YEpMae/CImr\nA6nMjcQAGTQCccKECdx1111ERUVRXl7OokWLWL58OXl5eRQUFEjiUELiPDjUYcGFLyCw2jyuoO3Z\nYRE8MWzUWcf4Smwir4+dwtr6atJ1ofw2axzX79watM8OczM1djuvVVcE1i1MSWdR6uktkzvamvjW\noZ3UaMzotTLaRWd/Qdjd9xhOeQ3gkiH4BARRhs8nIiIQKlfRYffxUUctHzXVcsRm4bWs6QAM1YYx\nVHt2IXy10FxXw3VCM4fnXcuGSjNK0Uf7xn/y8ZAwbrrpJgoKCnjiiSew2WxEaAS8KPE67HRZ2/F4\nfbicjj6jKSAkArQ6GJIGYZHQUkvNiRM8+sC93HLLLcTG9rqIa05WgbUFDPGQNBpcMhL1WmxPTccn\niijlV66VoMR5IlkQJQbIoBGIAM8++yyrVq0iJyeHhQsX0t7eztq1a1mzZs2VnpqExKBir6U1aNnZ\np+afXq7g9fGTUcnkpx7Wj/sTM7g/sVfsTY6IZHdba9Dyh/V1Qcec6l6udXZRaGsmVR3KnUVf0KS1\ngMaN67QPsm6F2Hdbz2u3DDxyRB+IQm+NGovXHXAzA3zSevKc13Ux8Ph8/L24jha7i+zoUNadaEIt\nl/H45DQSQgfelcXn87Fr1y4SEhIYN3EKm178AseRQhwle1ibNYkbpgxj2bJlVFZWBjLEZT4fDlsn\nMpkMmy04nACtAdQhftdwdDxYG6GpCsOYKbzz7E8Zm9lb3ujkyZPU1NQwKSWCXW3ddTFFwCPw3KYG\nYkOU/PS6uAu9VRISElchg0ogAixatCjwOjw8nJUrV17B2UhIDE6mR0TzB3qKU/sVVpRKzdNZY5kb\nFcuwU9zLdq8Hj08kVHn2mLwVo8ahlcs50G5hbnQsS1IzaXW52NjUENhnRmSva/qt5hN8u2oLorJb\noIbIQX6KMuxtvNH9bx+ToQg4Zf5SNX0SUzQyOY7u2MIEpY7aPtaz4brgzOhLQZvDzbc+LeZjU3Ng\n2j1XlVfdSvG3p6GUy3izuI6XD9YSrVXx5znDSAkPdm3X19dTVlbGlClTUCqV7C6touOjV/0Wv1Ez\nEAs+42cf/gG9Ro0oirjdbmw2GzKZDLv9lPqM6hDQhEBEAsRkQnsT1FdA8jgYdyPekFSaff7+x7W1\ntWwrOkGFM4yZ40fx8UNaHv7ExJv7WnqFOPDI+ycZn6DnuqzBYYWVQHIxSwwYyS8gIfElQxRFIlUq\nbotNoK8pTqOQ81Dq0H7i8LVKE+EffkDYR+/z8KH9Zx1bJZPzzMhxfDp1No9kDkcQBB4fNpLlI8dy\nR1wCvx81jkcye1vafb9yR684BNB4g0Lk/BMWwCvzxxX66C5uDbGCHpxy8PktnXoU4BNIU4fxcdY8\nHoodwU/jRlM45nZ+kzqB0XoDtxgTeXvErP/irg2c9WVNxL20jY/Le5N4+kre0jYbNZ0OdtRYuH/D\nUXbWtrO+rJmvvn+wd39R5JE3PuTmt3bwUpuBFrubN998k/X/eJn0CVMAGby7Ak7sQ6WQ09HZSVNb\nO63tHdjtTrq6unpPqNRCeDQMSYWR00EXBo2lEBYDN/0MJn8X5El02H3c/8pedu3axb6Kdr63Rc8T\n2zzM/vNxHvuwhsyQEEaEh4In2LK8p6oTiUGEKFzY3xmYP38+RqMRo9HIsmXL+m1fvHgxRqORzMxM\n1q1bd17bLRZLYPzMzExeeeWVAV3qmcZcunQpMpks6O/BBx8c0Jgmk4nc3Nx+60+d4+mucbAx6CyI\nF5uioiLy8/NJT09n3759PPbYY4SH+y0MJpOJdevWMWHCBIqKili0aFFgm4TE1cK7tVW831BDhi6E\nJ4eNRiM/u2v47qIveK/B72aVCUIgcaTGYeOTxlpuiU0I7Gt1u1myvxBPd2HcP5WdYH5CEtMiB177\nTyYILB02IrDs9Hp4pKyAAouZDoXzNEcI4JL1sSR2P5REAdwCCAJqUc6BUXexurWCgzYzc8PjudOY\nSp3LRoJKh0omZ46h9zp+njKOn6eMG/CcL4Qf5pfgPE0dxh6G6FXE6dV8ZjIHCcdDTZ3UWh1o3F2s\n3LidP1TLQWXgQN4Odr32PL+6ew7z5s5ly8+fpP74MRQqNQq3SFdnJ512J6JXBLFvopEcQsMhNApS\nRoKtA+pPgDEVZjwQyD7GLgNbG7TX0hkZzdSp83jo3Uoc7l7ht2qHX+yq5JASoaKqzR+zKggwNa1/\nGSCJq5hLEIOYk5ODTCZj7dq1tLW1sXDhQgCWL18O+IXa5s2bWbt2LYWFhcyfP5/CwkKys7MHtH3+\n/PlYLBY2b97Mvn37WLx4Menp6cyZM+eMczrbmCaTicWLFwdK5QGkp6ef8zotFguLFy8+bbH/nJwc\nMjMzA3M89RoGI4Oyk8orr7wSyGAGf3X4EydOnPc4FouF3Nxcysr8WZIVFRU8++yzAbd1bm4uBQUF\nALS3t7Nw4UJWr17dbxypk4rElWJDYx237N0WWL4/KY3vpw7lpN3GrMgYIlXqoP1/WXqIX504HOzz\n7OOyfWvcVO5N7I1Ba3Q4GLLhw6AxNk6fxQ2xZ+7TLIoiB21mtDI5WdreUievN5fy+/pDlDut/oLW\nouj/iSr4en0ZHqGPhUoEhdg7V2+PFUMEm4qR+nCMKjXPpE1ghuHK19wrNXexraaNZf85gdnhoecG\nh6rl3JgayXGzDYNawV/njGBsdChHWjrJeWMvTm+3RBfB2FbNu7ePY4cngqc27IWju8DRhSY1i/tE\nEx+ufx+1Wo3NZsPhcOB2uxEEAYejbwKKDDR6CDVC6mhw2qCjDSJiYeodEDkMXN22AbsFraUeO0Yw\nJPHcbck8el0cT22o4elPg2NHe/jJNbF4RTjZ5uIbuZHMzzZeupv6JeKydVL5y4YLG+RHNwfN02Qy\nkZmZiclkIjU1FYB169axcOFCzGZ/e0iZTEZeXh7XXXcdAAsWLMBoNAaetQPZXlRUxPjx4wFYsmQJ\nZrP5tM/jHs42Zm5uLo8//jh33nnngC976dKlPPfcc4BfDO7bty+wLS8vj+uvvx6fr9cbsmzZMkwm\n01nneLUzKC2IL7/8MoWFhRdszcvLywv61ZCWlsaqVatYuXIlRUVFGI29X3zh4eHk5eVd0PkkJC42\n/zE3BS1/2FjLP2r8GcOJGh17ZswjXqMDwO3z8bvy4uB4vj7Po0xdSJD1ECBWo+E7Kam8XlUJwBRj\nJNdERZ9xPj5R5M6SPNa3VQPwZMJ4fpWcQ2FXC9+r+A8i4mnOL/MXbRbxZyHLeqYlgJs++rW7rqFb\nBoLIUXs72OErh/OpnHI3BqVqYDftElDYaGXWO3uxefwPCEEAURQYbtTz2g0juOW9A1icHuSCQInZ\nxtjoUEZFhZB/zwSu+XchHrsNak9gjktnv1uPtrIIij6H8BhQqXG88wde9bmIC9XQ1taGx+PB6/Xi\ncgVnn6PSgz4cUsaDzwmtNX4L4tz7IG2cX4D7BHBYwVwN2nAcCSN4YlYytw6PZFKK3xr4f3Pi2FvV\nxefH2lHKBRye3g9KZrSG78+68oJc4r/kIscgWiwWcnJyAuIQ/M9Li8UC+L10QECoAcybNy9g5DnX\n9p5x+j7vz9Sys4fTjTl37lxWrFgB+EVtWtr59Zp//PHHefDBB1m5cmU/LWAymZgwYULQutzcXFat\nWnVe57jaGJQxiLm5uRfF1RsRERH4hdOXiooKTCYTBkNwoVej0ciBAwcu+LwSEheLnPBg643N29ve\nrMbRxfeLC9jf7v+Mi355FsRtsYlsnHQN/xo/jb0zbiSij8g6am1nRN4G/llbxTXRUaybNJUtM69h\nh7mF+wp288jh/VhOEShbrfXd4lAEuY9fNxTxbdNWjtstp/FsCf54Qx9+66BbDsgQXTJ/PKGIP/nE\nLQNP979Oud/C2Ofh0O51U+Ps6jf65cLl9fHItpKAOAQYEaln6z05FNw7mX8fb8Ti9L8vXlHkuX2V\ngf2mJxqI7WyA5pOQNgaaazj2+QcoW06y5JZrYe8G+GgliD5Eh4PWNgtddid2u6NXHAoCKDQQGg2Z\nkyFhFFjq/aI792649ecQnw0uOdhsUH0EbK2QOBoikxCBRpsrIA4B9Go5EVoFXh843CJapYxIvYIH\npkazZIZU53BQI17g3ylMmDAhyJoGfiNOTk4OwGmfpWlpaYFn77m2GwwG5s6dy9KlSwF/t6A1a9Zw\nzz33nPESTzdmenp6YEyLxcIzzzxz1pjJUwkPDyc1NfW0rmij0YjJZOo3hx5xO1gZlBbE1tZWcnNz\nmTt3bmBdT6zD+dATv9De3h5kIWxvbz+tcJSQuFIUm638YEcxFpeHH49O4ztZSQDMj0/mBaeD9xtq\nyNSFkN/aSLmtExBBEPmg6SQfNp3kjXHTuDchjd8NG8fSEv+PnOkR0ayZMOOM5WweOLCP450dAGxt\nbebO+ERKOq3csGMbHsELPoED7RbyZ1wbOCYg2/p0O3mz9QS1XXa/EJTRW7uwpxeyW0Dhk+PB57du\n+WTM0Sfxi5RxfNpaS05IJCEKJa83nqDD7WFWaCzLa4upc/nLt2RoQsnQhl7M231e3PPxIbbVtAVZ\nZBNCNMxO8ov3EGXw/Q1V+b92nU4nu3fvZuXtE/ne+kKaj25ncoiXmRmZHDp4kDVvPwMOEUQfWFtB\nBk63APT+CFBpdeh0OizGkaDSQkcTaMJgzA0w7ga/ePQI4OqClnK/hTFujP8+9yE1IjgUYePRdv5V\nYKbnTbS7RF77Rgpfz428eDdO4spwCbOYLRYLCxcu5L333qOwsBAAs9kc5I3ru+9AtgOsXr0ao9GI\nTOa3ac2fP/+s7uGzjVlR4fewREZGsnnzZsrLy/vFTJ4vc+fOxWKx8Nxzz/F///d/FBUV8cwzz5zV\nyjkYGJQCccmSJRdtrIKCAtatW4fBYCAjw1/PLT09nbKysn7qXxKNEleKWzbuo7rTX7bke9sOMsYY\nSm60/xfyD9KG8YO0Ybh9Pra2NHH93i0g9Ao0H/CniuPcm5DGzzJGcXtsEu0eN9lhEShkZ3YiNAbF\ntcERq5XPWuvwhDj8Y3sFtpgbebhqFyZnB202DwqHimx1FPs9wa7v/LYGcKhA3R176OlJQhFQ+RS4\n5B4QeoWU0+clJzSKnNDeZJiZfeIMb41J4k81R5EJAo8kjUQrv3RfZVtPmnmnpIHEEA2P5qagUfjn\n2Wxzsbq0gQ/K+1yrAHE6FX+9bnhg1c8mpZJXZaag0Up8iJo/XjuM8vJympqaGDlyJEeOHOH5TC/N\nhggM4eH89je/ob29HaVCgcLdhsft9b+ffeKbQAYqPRFDx9HiCYWORkCEzOkw6W6Qd/vpXQ5/YopG\nB0PG9lpeRUgMVyEC8zIjeHRGcAeb9w/0/64LUZ+7LuZAOVZv570DbcQbVHx7ciQy2eB+kA4qLlGY\nY15eHvPnzycqKorCwsJAvKDRaDzts7PHwneu7T0u7MWLF7N48WJaW1tZvHgxy5YtY/ny5axdu5YF\nCxYAkJGRwYkTJ846ZlpaGhaLhbAwf7WG8ePHYzabWbx48RnHOxcGg4FNmzYxf/58li5dSkREBIsX\nLx70LuZBJRB71PmmTZv6bTtbNtO5uOuuuwC/STgjI4OwsLAgc3Rfej70p/LUU08FXl9zzTVcc801\n//V8JCT6YvN4A+IQ/N/vJZbOgEAEePFIJT/ecxifwktIpIJO0RVULjC8T/3CU8vYnIkoUYeJrsBJ\nX6004dU5e7815CKKaDt/ajzSe5AANGq4NjGBLY5aAJSCDLerW4h6u+sVynt2Bo+8N0mjh+sN8QA0\n2Zx0erykhWqDfo2nakP409BJA7qOC2FfQzvz1hXi6e4DXdzayTu3jKXV7mLiP3dTZe0W0X3u9Ttf\nGcswoz6wHKFRsu++ybTYXIQpZezds5uQ+HhEUWT37t3U19ejUCj4cP16Dh8+jFqtxuVy0W614vP4\nwOchCIUGojMgIglzewteuQjp42D618Cn8bvlRQc0nECt0eJMGO0Xhj1z9IFKJsMoaHlgcgw/nN0/\n4Sg9OriQd1KEiq+MvjgVHEoaHUxacYxOp/9931PRxcpvpFyUsQcTW7duZevWrVd6Guem7CCUHTrr\nLj2iaunSpTzzzDNB29LT0/sZW0wmU8DCd6btkZF+a3VeXh6CIAR1S3v55ZeZP38+y5cv5+677w64\nd881Zs/2HnHYQ487HDjteANhzpw5mM1mrFYrYWFhrFq16ryOvxoZVAKxx/efm5t70Uy3fX9prFq1\nKhAYe2rAqclkYt68eWccp69AlJC4mOgUcq6Ji2Rrvb9DSZhSwYwhvV88dV0OfrD3IGJ0F8igUwSN\n0F0oWoBkjY6/jOxft+tcNLb4QCmAUgRRxKvy+l3HAUTc8lOKFgqA3k2qK4p30rModbZzY1gSL5pO\n8I+WE8Ft8brxndIvL0Gl4ztxQ3mpuIofbj+CVxS5M20Ia26YgOwyu2w2V5sD4hDg88oWAD6rbO0V\nhwAiJISq+f74JJxukR01FqYnBsdAOcxNHK+sRK/XU1JSgsfjwWQyUVZWxpo1awJZrK2trYEklCDk\nKjDEQvxw6GgBlwVP8nCYugB03S52jxMqTISotYgJ4+jyenszv30wPSWMri6BA9V2DnU4+FFNNSlG\nNbeNiQg61cPXxnK8wcHGoxayYrW8892Mi/ad+/FhS0AcAvy7wPylFIinGhKefvrpy3Pi83UxZ4z3\n//Xw+T/77bJgwQJWrFjBo48+2m9bz7M0Pz8/YMjZtGlT4Hl6pu09IWSnM9SIohgkAPsmyJzrnPn5\n+SxfvjzI0GQymYiIiDjjeOeix7X+6quvBvIjeiyKg5lBJRB7LH133333RRtzxYoVrFu3DrPZzKRJ\nk4LiGl555RWee+65QI3EgRbnlJC42Hx040T+cMhEm9PNd4cnkRKqC2zrcHsQda7elLPuRNWG6+5C\nr5CjlyuCHu5e0cevKw7xj1oTZruHUUojb06czNCQ4Di+Tn2XX1gA6Dyg7GPpEyBBradd1knnqRYu\nn8Ako5F7Intb8L0yOpK3tpXhPY1/KyBmgXRNCDuzb0YvU/KjHX5xCPBeRQMbqpr4SurlzZ4dHRVc\n429U93KsLjhjOlytoOy7M7j+nQM8nu+PcXowO4EXbxyOKIrs2bMHt9uNKIq0tLRQV1dHU1MTr7/+\nOi0tLahUKqxWK06ns78wFJQQaoDUcf5+yPZ2SMiCibchhsd1u/s9UFcKcjnEjKLTqwSPu08yj/9f\nnUpOSbWLvoL8UJ2tn0BUKWS8ft/5ZXkOlBSj6qzLEpeYi+xiXrt2LeBPLDk1u7dH5C1atIilS5ey\nZs0aCgsLWbduXSDT+Fzb77nnHpYtW8aSJUtYtGhRwB18LvF1pjHT0tLIz89nwYIFgVI0ixYt4vHH\nH/+v74HBYGD//v0Bq2ZeXh6bN28OlMUZrAwqgXgpeOCBB864LTs7O1DkskecSkhcCUKUCn6RM+y0\n24aG60kO0VJNb5Fkl8/HoY425kX375O7ouoIT1d0u4zksNvWyDf27ubHmcPYb2kjNyKCWZHRtHod\n3RZDARR94t8EWBg3lDtikrm9dFPQt4hClPGzIdksScsMOqdCJuOJ1LE8XenvFmJUqLB5PTi8Phwu\nH8hk3B+fzl+HT0IvV+LwePH6gp9krqAYvMvDLenR/PmaLN46Vk9iiCYQWzgnJZKlE1P58/5qwlUK\n3rxpNP+ptvDFyV6rxkv7a7kpRo6yqRyVSoVcLqejo4PS0lLef/99jh07hlwux+fz0dzcHFRDDQCZ\nwl/PMGUcdFmgqw0ShsGY6yBuGCCAxwt1JX4hmJAFXiV0dr8houCPXexGLsAPpsbxb3kb7xR116cT\n4Nqhl6ZN3rIPanh9Vwvx4Ure/HYaYxL8P2runmDkZ/NsvLmnNbBN4jJykZNUepI+ThVsgiAEfuys\nXLmSJUuWkJOTQ2RkJGvXrg0K1zrb9vDwcPLz81m6dCm5ubkYDAYWL17cz5V9Kmcbs7y8nMWLF5Ob\nm0tGRgaPP/74aa2fp0MQhNNa03sshrm5uQFL5flaIq82Bl2h7IqKCl5++WUsFksgEPRKvwlSoWyJ\ni43Z5WRfeyup2hCyBhAzWNZpZdi2j/3Gge6P4uFZNzM6zNBv37sObeW95ureFW4ZGocGh6/XQjgs\nTE+paPYnkni703MDOQoi3xiSxgZzLRa3E9Q+kPtIU4WyZ8xtRCu1nInCjlbMbiczwmOYW5DPTktv\nO7qJ2mj2zrohsPzUvlKeLvAHiM+MM7Lp1kmoz9ElZiC0OdzsbWgnJUzL8D6xghfKFyfbmPV2r1WE\nk6XQVseQuHhuSjcyTdPB5s2b2bJlC06nE7lcjsViweMJtsAKgkBYWBi+hDF0tLeDUoEiaSietBwY\nOrG7aLgP6k74E1fis9CqlNg7ZOBUoFHIcLj8WeyovejVArPTw1l+UypjhuhxuH2syKunus3F7WMN\nWO0+fKLIXeONaFUXVvls1fZmPiluRybABwd7xfLIOA1Hnhx9QWP/r3PZCmU/9/mFDfJ/10vPuy8J\ng8qCuG7dOpYuXcrSpUsxGo20trYGil+eT0V0CYmrmWp7F9N2fk6tw45cEHh7/FS+Fp961mMyQ8JY\nN2EmSw4X4PR5+FXW2NOKQ4BZhthggeiVoZbJewWiAKXeNlB1PwQUor/1XXfpHESBfzVVdO8r+GsT\nomB+VOZZxSFATmhvmZTJYVFBAnFfdRfFrR2MjvS7up+aOIy70+Nod7mZFGNAKb/wsq21HQ6mvrOX\nkx0O5ILA6zeM4r6R8Rc8LsDMpAgWZyfw8s4SOL7HX7A6PJaGZjOvF/yHj0y7cFrNaLVaHA4Hdru9\n3xihoaGMHu0XUiqVnNhps2kxpKIYdy2HW+yYu9w4y8pQ+ER+/72bsIgiTo+PByfGU9fm4USLg1kZ\noWwusbL2gJnc5BCeujm4+LlGKeMXNyXg9YnM+2sJW0r9pYxWbm9my4+zznmfzV0elq2vodrs5JsT\nI7lvsj/T/F/7Wln8r6rTHlNtdp12vcQVQNJ2EgNkUAnEZ555pl8HlQULFjB37lxJIEr8z7Cquoxa\nh188eEWRX50oPqdABLgjLok74pLOud+PkoYjE+Cj5hrcbujUuzlmaweHDxwKv1tZeRp3rq07Vkzf\nv39yglrHQwlZ5zx3X36QMJw/HqgAlRfsSuhQU29zBAQiEPT6YvBqcS0nO/zJJV5R5Old5RdNIAJ8\nQ9fEia5jbI5NAYfNb+XbuwHa6rGqlYSqVDQ1NfU7TqvVkpqaSlhYGEqlktzcXOJTM/lt1zDa3DIw\nWaChDLxuYkeMpPwns9CfUnYmKRwmp4Zg7vLw28/qKWt28kmxlU6Hl9/fmdzvnMca7AFxCLDD1MnB\nGju5KWe3qn7zHyY2Hm0H4LNjVuLClcwdHs5OU2fQfjIBeqIEvjFxcGdz/k9xCesgSvxvMeg6qZza\nQeXUaukSElca+2ni584HzSmFq7VnKGR9Jo52Wni+6ijvNVWfcR+FS0mqGIFb8FLQ1UKX6PbXKFR5\nQekJ7pogQqysNylGIyqDxkpThXBo4q2kaIMTOs5FaqiOOfpEaAqBDjVZBj1TYiPOfeAFoDnFOqZV\nXJzafhaLhRdffBGHRyQ2JRVVVyt8sRry/gHmWlBpcHW009raGnScWq0mKTmZrKwsIiMjmTRpEopR\ns3k3ch6rZNm0uQRoKIfaYxCdDEkjaXTDH7bUn3EuHx62UNbcK+L/uKWROkt/C16ETkHf2yETwKg/\n9/3YWxUsBPdV+UshTU4Nfv/vHG/gt7cl8Pp9qbz0tS9flvJVy0XupCLxv8ugsiBKSFzNiKLIoi8O\n8erxk4QqFfzzumxuTTn/rNsfpg5jfWMNBe1mDAolfx6Vc+6DujnU0cbUfZ9i8/mDw59MG8OvMoJr\nd/6u5BhPHDnsz0xWB2fM3pEUT35rA1av25/B3B1++EB6GqM0RhodDiYZjUwv+rS7eLNAhcvG4U4L\ns43nd60yQeCTWybyVkktdq+Xbw5NCHQZuVQ8ND6JD8qb2F3fTrhawQt9Clr/t3z44Ye0tbUxfcYM\nvrt6J0U7tkPRRrB3+bubuDvBHexOVigUGI2RWGR6Tnp1WHTpPDg3h86hM9lc5vG3IDx2FJw2GJLu\nH6fH8OOWsamkgydvPP18DNpgkefzwZy/lHDo56OC3McJBhUvLkjhJ+tOIiKy4qtJpEdpTh2uH9PT\nQ/nosD++UBBgWrpfGN43ORKrw8uG4nZGDNHw61sTLjimUUJC4soxqJJUZDLZafsgmkym/hmAlxEp\nSUUC4KOqRm77rLcnabhKQdu3b/iv6sd5RR+1DjtRKjW6AXYJqXPa+OqBrRR09FqpkjV6tkyYx8Jj\nu6lx2rhvSBqfn2zhi/ZGCOnNeu6xDPwsaRQrqo72G/veuDTeGj0DgGaXg5gta4O2b590PdMjBkeP\nXp8oUtPhIFKrRK/87wVpeXk5GzduZOLEiZharPxg7S5aP3oN2ptAoQS3Gzz94wyNRiMGg4FORQhN\n+mQwDIFhk5k0YQI2j4fiY0fA0Qmx6aDWIUdAr5Bjtfn8RbA7VSycGsOqr50++1cURW56sZTPjlmD\nLD7lT485rQDs+e461+e0pMGB1eElM1rNrzfWUW128Y2JRu4cL7mPLwaXLUnlmbxz73g2HpsrPe++\nJAwqC6LU6k7iasbidActd7g9eEQR5X8hEOWCjGTtwDNs3T4f1xVuosRmDVqfoNbx9eIv2Gv1i8Yn\nTQe5ISQxqPwJAAKoBRkrKo/0qZ0X2MT8mF4XYbRKw68zx/Fkmb9kzbfi04PEoSiKPH/QxNa6VnKi\nw3liwtCA5UoUxX5CxOPz8b0th1hraiA9TMfq67MZETGw2MMdtW08X1SJTiHnV1MzSTcorEDcAAAg\nAElEQVToznmMTBBIDjt7Ms3Z6Ojo4LPPPkMURSZMmIDVauWhJ39D2+G9/nun0vhL0pyKUosiJBR5\nRCQzZkxmY4sGIrMgw98Cb++Rw8TihJA4iEn1HyP6E5atTpER4aEIbiXZWTp+/9X+MYUADreP0iYH\nz9yayJaSo7i6DcRRIQpWbW/m77taiA5R8Ma30gOxhgP5AfO7T+v5+Yf+zjgzMvR8d3oUt4+NYNbQ\nK9cDW+K/RNJ2EgNkUAnEM8UbHjhw4Iwt8CQkLhdfSYlhaLieE+3+mKwfjkpDeZZexxeTOqetnzjM\n0Ibw+sipTN23MWj9jJhIYuQ6/t1RiqfP08Ip+gAh+AHikhOJjnH6YCvRExlj+HZ8Ok6fj0x9sEh4\nobiS/9t9DIBPqptw+XyMigjloS+K8Yg+fjtxOA+P6/UEvHL0JG+W+sVHsbmD7205xM47p5/zmqus\ndm54v5Aut18F7aq3UHL/jLP2l74QfD4fe/fu5fjx42RkZOB2u8nPz+cvL7xAW1sHqDXQ2QYuW/CB\nMqW/F7I2HE9CFs2RCewNG0tT8lhQyMBcA13tEJVIc0i4v3l2IOZLoMe3XNPpxPr0BM5EU4ebWX88\nTkmjgxC1jKduTuDjI+2oFQJfHWvgJ2tPAtDc6WH+a2VU/GrcgK7b7vLx5Ee1geXt5V1sN/k/48/e\nnsDPru9fa1PiKkZKUpEYIINKIJ6JBx54gIKCgis9DYkvORFqFXtvn8FnNc0Y1UrmJUZftnPHqrQM\nUWlpcPldmhqZnPwJ80jRhvDV6CT+UV8OgFom49boRMalG7mmOorvndgR1KM3qBeeD+hS0YKHF8vK\neXbc2KBzJnVbONudbg62WkkJ1ZISqmNX4/+zd97xVdX3/3+eO3OTm9zkZidkJxBCIJAwwxQIiooI\nEsQ6qrWI9uuvdaO21aq1othaW1sZrR1qqwK2ioMRZkFGBmGTSSB73yQ39+Ymd/z+uMlNLklICGFE\nzvPxyONxz/6cc0/ueZ33dLae7S2r47dHC2lrT9x5+sAp5of6Eetlj10rM7Q4rV9m6J4lDVDRbOLN\n9LMYzVaiNCq+OlvlEIcAhQ1GKg2tBKv7jqO7VHJycjhz5gwymYzw8HBKS0t55ZVXKC0tRaZQQltr\ntzhDu1nWDVzUEDoStMPALwxGTKHETQ0VxaCvA59h4D0MaM/67dCEbYLdImkDLEK3/sgX8ofdleRU\n2q+l3mRlY3Y9mc+PAmDt/5wzp0vq23q05vaE0D4Mx4tDl03e3VUlCkQRke8p3wuBKCJyveCplHN3\n1OCVTekvLlIp2xLnsDIvC6PVwovh8Y6s4vUjJxOgcOHb2jLiXDUEKu3u1R3VlfYi2BJbe7/eC3Zq\n6bTEKXqxypXojUz9zwHO640oJBI+mzeOKf5efJJf5lhntNad77qIRhtQ3WIiFvv47o4K4p2jZ2k2\n28Xej2K7l+oxW63M2ZjBqdpm+x560DWRGlW3FniXS1VVFTk5OezNrWBXfjWBGldq9rzHwYMH7V1g\nDCZoauq+odzVbjX0i4TAGIIioigLGgtunlBfjp+xDL1cC6HtxaNtdKsp8cSUYM7VtnL4nJ5Qfxf+\nlhpz0bFeGIbdNZF+/igNWjcpdc32a/yDCdp+x8a6yCW8vTiEpzYVc2HomZfr4GSBi1xFRBezSD8R\nBaKIyPeE0Wovvhk3p9v888Zmfn/uDC02C0eb6slqrOPk1AWUNZtwNG4Gu8WwTWgvjC2110QEVMgY\n6eKJ0WzpVhbm/ZPnOK+3W85arVZeSs8lO3U6bVarPQbRR8ML46IpbDKwvaQGgEQfDRN8O8NF4r3d\nyVwyjS3F1UR6uLKgh37LZXpTuzjsjptcyqIoP15Njh4097LJZCIjIwOZTMaeE2f55b4qyE+H49uQ\nCRZkEoEWfWP3DaVyNBoNDa5BEBYPXgEQmUiZZxA0VKKsP80zt47nxVsSGbc+k9w6+7X71cwwsir1\nfJlrv0ajfN349exI3BT9F2CPz/Tjk8w6ztaacJELvL6gs0B2qFZJ+nNxbMiqx89dxgPtxa37i0oh\nYXq0miAPOfpWK1+daMDfQ8Zf7wu/pP2IXAeILmaRfjKkBOK8efN6nN+16beIyI1EoaGJLbVlhKvU\n3OoT3G15qcFI0o40WlSdrtgcYyMnGhvwlbqAQQYu7a3ezPZWbdFWDfkVbYANJDaMFoF7tx9lvG8R\nexdNcRKJMsFZkMklEgRB4OmEKJ5OiHLM/2r+RDYUlNFqtbE0KhCXC4TmCC81I7x6r6Po56rA31VB\npaF7Pb/bI3z5cP6YHra6dGw2G0ePHqW1tRWFQsGZM2f4LqcYvvkzGBoAAXOrHnMP22q1WqKjo5k1\naxYHG5XsJdjeO7mhGkpPgHsApoBRJI+MwlUp4/ijE5j30VH2FDXw3qFyNi6N455RfhjarCwZ6XtJ\n4hAgyFPBsRdHcaLcSJhWQaDG2Zoa6ePCyj7cwcZWKy1tVrzcOh8NGzLreLRLh5QfTNBifDcRF7lY\nwmZIIloQRfrJkBKIq1atutZDEBG5bshpbmBS+rc0mO3Z07+KHMPLkc6JB+/m5KMzmsEFp1jDsVvT\nCFa5IrTKsCksdquhwopaZeWvoxNZ8FUmjW1muwu63XWZUd3A1vPV3BkZ4Nj/T8eE8/nZCk7UNeGh\nkPH2lJE9jlUhlXDv8GEDPlcXmZStdyXx3N5cjGYLI73dyNMZiPF0ZfX0S+vg0hvnzp2jpKSEyMhI\ntm/fjiAI/OlPf+JkTj4YWqC1ZwsmMhfwCeKeu+YTFRVFQkIC4R7D2bvhIJw/AR4+dmuiWQABFn96\nkm/vG01OjZE9RY2AQI2hjce+yuPU4xMu6xzULlImR/SvYLm+xeLYBuBfh2v50YdFmMw2HprizV/v\nD0cQBA4XOZ/3oaJmURwOZUQLokg/GVICMTHROYOvsdHu4hFrMonciHxWec4hDgHWlebxcmQCBrMZ\nV1mXf22rBBqV4Nq+rlEOCJQajdwc4M/Wlk7rkN5i5j9lJTS2drGRdUlQUF9QN9DbRUHmkmmcbTQQ\n4KpEo3TusjKYJPi6s/Wu/hcN7y8NDQ0cP36csLAwJBIJX375JVu3buXQoUNYLBb0utqeNxTk4OUP\nYSOJH51ASso05s+fT319PfkHjiKYW7G1xxjKBAFze8yfyWLjT4fLGB/knP3dYOrJLjm4WK02Xt9S\nzt8P1FJYY08Gem1BMM/fHMDDH9nFIcDfDtSSmqhlfryGadFq3k6rdOxjWtSldcwREREZmgwpgdjQ\n0EBqairbtm0jOjoasBfJTk1N5dNPP73GoxMRubp0zeAF8JYpmbxzB4fq6ghwccFNkOEilRKkcqHM\n2IKkUYpKLqXZ0ilEPGQyQl3cON9itxJJBQFL6wXWoY5uKiNDmBvSPXZNIZVc1D1stdn48FQZZc0m\nFkf7M0Lb//qOV5KOsjWurq4kJSXx97//nZMnT/L1119jsViorKzEYrF0204qlRIUHEyLXwzVmkjk\nvkG8+sSDTA1Rk5GRgZ+fH4/cOQ+PmErWZZXh66bA3Aafn65x7MNDKePeMX68e6iUCr3dbf7UlIFb\nWPvLu7sqeWlzZwIRNvjll2XcmaBxiMMO9Cb7uS9M8OIfPwzni6M6YvxcePm2q5+EJTKIiPYUkX4y\npATi8uXLWbFiBWCviZiRkcG6detoaGi4xiMTEemZVUfy+f3xs3gqZfx1ZgJTAwan64TebGZdzjl7\nHT25FcEqECl48kVdBQAVLS2OWnoyQULqsGA2FJfS3GqxZ8sK4CqV8sTwGLxc4ngiJ4NGcxtPho0k\nRubJuqOlmCx23/KDw4fx2+Q4tC4DyxD+yY5TrD1eAsCq9LNk/GAyMV7XViSePn2a+vp6JkyYwP79\n+3n55ZfZsmULjY2NVFZW0tLS0uN2vr6+TJ48GUngcL6okEPkBNpkCh77YDt7Hp9BcnKyY91lo/xZ\nNsqecFPc0MLpagOnawyM8nXltdnhBHsoyX40iV1ndYRqlCSHano85mCSed7Q43yzFZ6Y7c87O+yW\nwrHDVNwa3zmeByb78MDkS0tsEblOEV3MIv1kSLXai46OJj8/H7AnrGzbtq3b52uB2GpPpCf2ltUy\nc/MBx7Svi4LKB1L6XV6k2Wxm4/lSFBIJS0KDnYpu5+v1xGz51mn9WLU7Z/QXlFxpF4nhLmqK9EbH\nzJuD/FgzIZFwt56FWnqVjk2F5YSoVTwaF4ZUMvCHivt7aei7WDvfmTmCJxLDB7y/y6GyspK8vDxi\nY2NRKBS8//77bNq0ierqanQ6HTqdrsft3N3d8YyMR+8dRVBIOClz5vD74waoLgIXNe7Domj8ed/F\nvRtazGhcrt17+fp91TzycWdIATa4NV7D5p9EI5EI/C+viYYWC7NHuON6iUkyIpfHVWu199Luy9vJ\nq7PE590NwpCyIHbtpNJVEIot+ESuR4qbnQsnV7e00mKxdisV0xMtFgszd+whs84uWP5Z5M83M6c6\nxGWYqyujPDw42R6H6yaVcqaxqbPIcgft7uE4jUcXgShwe2BQr+IQYIKfJxP8eu5cdKmEurtwqq4z\n0SHEffALWfdFS0sLmZmZ+Pn5MW3aNL755htWr15NcXExBoOB8vLyHreTy+UkJibiETOW7eVAWCL1\nPqEoT5/D3yqjMsQeY/jklO4Z5D1xLcUhwPJpvthssCOnETeFhMVjvZgfr0HS/gIwXWydJyIi0s6Q\nEoheXl7d2uodOXIErVZsFi/Sf7JqdBTrW5geoB2w27Q/zAn2wV+lpNJoTwZYFB7QL3EIcLi2ziEO\nAbaUV3K2uZlItZp3cvL4U14BGrmch8LC0cjlfFFaztm2ZhyVjLuIxFWjR7MiKpLHM45yqqGRmwP9\n+cnwSK4Wn9yWwP1bjlOmN/HQqCDuignoe6NBwmazkZ2djcViITk5mfLycu655x4yMzMxmUwUFxf3\naA2RSCSMGDGC+fPno1KpyPcYCYFeUH0WdOXoYuM4/sg4tuXXE+Su5KbIwRHTV4NHpvvyyPSr1+VH\n5DpDdDGL9JMhJRDXrl3LvHnzSE1NJTIykszMTNLS0ti+ffu1HprIEOEPJwr52YGTAIS4uXDozukE\nuvbPomWx2nhoTzafFpYRplaxYW4SCd69x40FuLpweNE0/l1QipdCzkMjuncI6Y2Klu7t5txlMnZX\nVvPUkWOOefWtrRQumM+5ZgNnm5ux91K2oZbJUEgl/HZMAg+GhwPwUfLllVAZKKN93Mm+L7nvFQeZ\ns2fPUlZWxtixY1Eqlbz22mts2LCBpqYmSktLMZt7zhoOCgpi8eLFyGQyZs2axdSpU/n3znQ2FJZg\nHRYPgsAdsT74uim4N6F7Ue8rQZvFRkG1CX93mVONQhGRS0b0Dov0kyH1SxMZGUlGRgZpaWlkZGSQ\nlJTEm2++iUZz5YO7Rb4fvJGd7/hc3NzCh3klPJcQ3a9tP8g9z4f59mSLvMZmHtqTTdbimRfdJtRd\nxcqx/dt/V5zf8e2/6PWtrRTo9U5LzjY3U240siYpEZkgIaepiTuCAnk1flS/Yx37otpo4vPCCjQK\nOUujA5EM0n6vFDqdjhMnThAeHs7UqVPZvHkzb7zxBmVlZVRVVWE0Xtgz2Y5arWbp0qXI5XImT57M\nrFmzOH/+PEVFRfzkrnnEJTawOaeWGG8VK8Zfvf7DOoOZWb/L5WiJETelhM9XRDEvzuOqHV/ke4Zo\nQRTpJ0NKIII9DnHJkiUsWbLkWg9FZAiilsvAaHKe7ieVBmerXqWxe1ePgZBWUs2HeaUEuir5RWIM\narmM6b4++CqVVJtaHFnH47bvIMHD016KxmbPPpHIbAR9/RVxHh5snz6DIJVqUMbUQV1LK5M27eds\no11UbS6q5OOUcYN6jMHCYrGQnp6OWq1m2rRpFBQUsGTJEjIyMqirq6Opp57J2OMMFyxYQGBgIFFR\nUSxYsICamhrKy8uZNGkSkvbkoJsiPa+4K1nfYqFU10a4twJlezHqP++p5miJ/fo3m6w8tbGYEy+N\nuqLjEBERERlyAlFE5HJYO20Mi9PSaWg1kxLsw8OX4PZdGhnE28cLaGgvIv3j2NBu69hsNs7o9Khk\nUsLdXfvc53/OlnPXtkyH1+dkXROb508kQOXCwXmzWLz/AEfbyzgZLBYO1NZ2WgCkto4mJ5xqbOTV\n06dYkzi4haS3F9c4xCHAv/LKWDdrNG6XIKwHSkWzCVe5hJImE387XYKXUs4TY8NxlXeP4zx9+jQ6\nnY4JEyZgsVj4f//v/7Fz505KS0tpbGzsNc5w/PjxJCcnI5fLue+++zAYDNTV1TFhwgSk0qubxZte\n1Mwtf8yjrtlCjJ+S3U8NJ8hTgdnqPPY2y+D6CCt0bbgqJXioej7f7/Ka2ZfbTJi3nPkJHr2uJzJE\nEF3MIv1EFIgiNxSzg32ouu9mGtva8HFRXtK2wz3VZC2awZaSasLUKm4L9eerc5WUG1u4NcSPQFcX\n7t6Rycaz9ozY15JG8IvE4b3uz9Bm4aHdR51+r3eWdRZTjlSrmaDVOgSiEz14iZraBr8Th7+r8zXy\nUNiLb19JbDYbD2w/xkc5ZcgEAblEgtFsl8K7SurYvqgzlrK8vJyCggJGjhxJbGwsb7/9Nl9//TUn\nTpygvr4eq9Xa4zFCQ0NZvHgxRqORRYsWoVQqMRqNjB8/Hpns2vwsrvxPKXXN9nJAeVUm3tpWye+X\nhrBiui//OFBLYU0rcqnAr+/oX8Z0X9hsNu5fe56PD+iQSwXWPjiMh2Y4J/w99a9S3tnaeU+OCFRw\n6KXhaFxFkThkEV3MIv1EFIgiNxwKqQQf6aWJww4iPdz4SZy9PMxzh06x+lgBAH4qBe9OjneIQ4CX\nMnN4fFQEnr20nyvSGxzWyA6iPJxLz7w4MpZtlZWcNxjsb/5d9Y7NnpCCAGqZjJ9GX3qsY1/MCvbm\n50nR/Da7EI1Czj/mJFxWTcS+KNW38G52ER/l2Lt9mG02zOaOGooCacW1tJgt2NpayczMJCAggGnT\nprF582b+8pe/kJGRQUVFRa/CUKPRcPfdd2OxWJgyZQohISEIgkBiYiJy+ZVrE9gfLrQMdkz7e8jJ\n/kUc2cUGQrwUhPsM7N69kC3Hmvj4gM5xrEf/UcJ9yV7IZfbvt8locRKHADnlrWw+0sh9U70GZQwi\n1wDRgijST4akQDxy5Aipqal4eXmxdOlSoqKiWLx48bUelsgNxvunixyfq4yt/K/SuWevDXubud4I\nVavwUymoao9llEkEPp7tHN8XoXbj9C3zKGxu5midjo+KSjBbrSilAhUmE7Eeam7y92WOv/9F6xpe\nDr+eNIJfTxpxRfbdlX+eKuHhnScwX3jNuvSCDlErOXk0G5vNxtSpUzl69CgPPfQQBw8eJDc3t1dh\nqFAouO222/D19SU+Pp4xY8agUChITExEqRwcwTUQtp5s4JWvyxEEUMkEpBKwWMHfQ8YTs/0c67m7\nSAe9RqGxzflatVlsmK025O3mablUQC4VuglXD5U9NrJc18aB/GZi/JWMDhnc2FcREZFrj6TvVa4/\nli9fTkZGBhERETz77LP85je/udZDErkB8bvARZ3sp2VBaGfZk1+Mi7lonUW1XMb22yazMNyf20L9\n+N8dyYz27p6d6iqTEa/RcG9EGN/eNJXtc6bz1axpZNw8h4+mTOLhyMgrJg670mK2kFnZQJm+5zZ0\nl8rpOj1P7j3NywfzOFOn58c7TnYXh8C8EB9Gad1JkjTzml8bI0eOxM/Pj+eee47ly5fzySefkJOT\n06M4lEqlTJgwgYcffpj4+HgWLVpEUlISEydOZMqUKddUHJbUt3LnmgIOFDbzXUEzO87o6Wj9vP7e\nME6VmRj3qxwmvZbL/3L1F99ZF/65v4571hTx+uYK2sy9v6DMH+PBhIhOYffsfF9Uis5HgotCwpoH\ng5F2eUo8MNWTBeM8yK0wMeYXOdz1x3OM/WUuH+2v7/+Ji1xbbJf51wupqalotVq0Wi3PP/98t+Ur\nVqxAq9USHR3Npk2b+r1848aNSCSSHv+ys7P7PN3CwkLGjx9/yeMdyDl28NZbbzFv3rx+7fN6Zkha\nEMG5q4pYKFtkIOyvquVMQxOzAnyJcu8usBpb2zimayDMzZUQt+4JJx/eNI6lOzKpNJj44fAQ7okO\n5p7oYLJrG3CVSYn1vLjFx2K1MVrrzn9vdq5PeN5g4ExjI2M8PQlwufpdR3qirqWVmZ+lc6JWj0Iq\n8PEtY1gyfOAFr0v1LUzdcJB6k93F/nFOGW1Wa7dXVqkAf5kSTlHuGSJvmoxGo+G9995j8+bNHDt2\nzJGZ3FMSSlhYGHPmzMHDw4Px48cTERFBQkICbldBTPeHgmoTLW1dxt1hKbXB7twm3tteR2u7wFvw\nbiHFb4/CvY8EkX8frOeHfz3vmK5ttvC7ZT3HLKoUEva+GM3enGY0rhImRXW/Lj+a4U3qBE8ajVY8\nVBLH8dfvrqWmya5mrTZ465sq0e08VLgCMYhJSUlIJBI2btxIfX09y5cvB2DVqlWAXfzt3LmTjRs3\nkpmZSWpqKpmZmYwbN67P5SkpKaSlpTkdLzMzk1WrVjk1zegJnU7HihUrupX86mu8AznHDgoLC3n+\n+edJSUnp67Jd9wxJgZiUlMSjjz6KTqfj+eefdxKLl8qRI0fIyMhAq9VSWFjIkiVLiIiIAOxf9KZN\nm0hMTCQrK4tHHnlErLn4PWFt7lkePXgUsMfv7btlOgnazu+2pNnItK17OddsQCmRsGHGRBaEONe+\nS/bXUvKDFKw2m1NtwEQf5/ux3Gjki5JyfJRK7goJQhAEVh45we/O5KGUSQhWK3CXy3l11ChcpVJu\n27cPg8WCp1zOrlmzGHsZ9/dg8ZfjpZyotVuxWi02Vu7LvSyBeKBc5xCHAAUNxk6B1HEprRYsRTkU\nFQeQnJzMhx9+yIcffsjJkyepr6+ntbXnMkNeXl7MmDGDgIAARo4cyYQJExg9ejTu7tdXG7kxwSoC\nNXLKG9rsM7poRV83uUMcAjQYrVQ0mvsUiHsusDTuPnNxy6OLQsK80Re/Lu4qabfjurtILjotch0z\nyAKxsLCQI0eOUFhYSHh7UX6we/o6xNP69etJS0tj9uzZzJ49m/T0dNauXcuaNWv6XK7RaJg9e7bT\nMd944w3Wr19/0XGtXLmS1atXA3bNcCnjHcg5dtDRyOP7wJAUiGvXrmXdunUAREVFXVT190VaWhrP\nPvusY/rRRx913LRLly4lIyMDgPHjx7N8+XI+++yzyxi5yPXCn86cdXzWm838o+A8v9OO7lyeU8i5\nZgMAJquVF7NPUdViQiGVcHfYMMw2K8XNRkLdXC/aPq/C2ML4LbsoM9rdso9Eh3NPWAhvnc4FbJht\nZnL1dqGzcP9+xmg0GNr9jLq2Nt7JzeUfEycO9ukPOp/mlPPU3hxswFvThnPfyCAAChsM/P5IETKJ\nwDOJEQSp7RZRnx5d7+0K0QZUnIMWA/fffBN1pee585WXOH36NKWlpVgsFtra2rptrVAoSEpKYtSo\nUQQFBTFnzhzGjBlzWS+QVxIvNxn7nhnBuzurMFtt1DSZKa5vRWew8NGhOjRuEhqa7W7z+GAXwr37\nbguZGOocC5gYdmViA5+42Zctx5s4kG/Az0PGH+4bnMxqkavAICep6HQ6kpKSnISTRqNBp7MnQGVl\nZQE4ibyUlBTefPPNfi2/kKysLOrr6/vMO3jxxRd57LHHWLNmjZMFsq/xDuQcO3jrrbfw8fFh2bJl\n34sOb0NSIJ49exZBEFizZg3PP/88RUVFTl/cpbB27doeLYNZWVlOrmuNRtPNzC0ydPFWOj9sLxQs\nsgsydQua9Pz44BHAbn0saGqmosVEqJuKnSnTiHJX93icr0rLHeIQ4IOCc8wN6Ew+6FquxmyzceSC\nHxyl5PqwzCwfPYyPzpRxvEaPUiph9fTOpJWKZhP3bz1OW3u9voe2n2DmMC/cFTKmbzhEWbO9wPiX\nhVWcvG86SpmEyYEaXKQCLV0SIKQCWHR1SOsqeGr+TPwby8n4x2peOnWKwsJCTCZTj8JQIpEQGRnJ\nlClTCAoKYvLkycyYMeO6CD15f3cVW042Mi1azZNz/ZFJne+rSF8l797dWYsz5ucnya/qLMh+9yQv\nYnxdeGKer1MsYE8U17by7rYasIKbi4SlEzx59wdXRrh5qKR898sYaprMeLpKu52XyI1DYmIi6enp\nTvPWrl3rsNoVFhZ2e0mLiIigrq6uX8svZPny5Q7L4MXQaDRoNJpu1ry+xtsT/dmmsLCQVatWkZWV\n9b0xJA1JgZiamuowL8+dO5fU1NRuX15/WblyJREREY63lbfeegvo+abVarVkZ2f3Gfcgcv3z50kJ\n3LHrIAVNzcwL8uOJkVFOy38WG8Xn58s41dCESirBaOlMgNhf3fnDdb7ZyGvHcvj71J5/XPydYght\naBQy5vj7MsJDTU5jk7NLFfukq1SKwWIhWq3ml3Fxg3C2l4+Xi5z0e6Zwqk5PoJuSALfO5I4qQ6tD\nHAKYrTYqmlspajQ6xCHY3cjZ1Y1MCvTERSbli9uTeGTnCfRtFp6ND8K/rphKWTjD1TF884+17Dl2\njPz8fIxGY6/t8Xx8fJgyZQqRkZHExcWxaNEifH19r9yFuAR++Lez/POg/V758lgDGecNfLq8d9fT\nN0cbnMQhwMwRagI85ES/eApDq5Xn5/vzysKe2/y9sLGcU2UmQKC5xYZMIuCm7F+9wgaDBavNxtbj\nelRygQXjPJD0o5yRj/uQfITc2FzBOog6nY7ly5fz+eefk5mZCUBdXV2PL2sd1re+lnelI2HlQpfz\nYI53oNukpqayevXqARurrkeG5H+3Vqt1BLfOnTvXIeoGwvLlyykoKODNN9/E09OTuXPn4uHh0evb\ni8j3g5Ge7uQtSsFstSLrwUrn46Ik67abKNQ3o2ttI3nLXseyLlVXAOzJFb2wYJkkBOwAACAASURB\nVFggj0VH8H5hAUhs1FpNzNv7P/bMmc7W8iqsNhuv554mv0uP5WeGD+ehiAiCVSrk14kFEUApkzDO\nr3uWdazWjfH+HmRUNgKQ4OPOaB81tS1t3a5VWnEtkwLtL17zwnw4++BMsrKykEhaCBw/htdee42v\njh2jsLCQhoYGWltbe7Qaurq6kpCQwNixYwkNDeWBBx4gKCjoSpz2gLBabXx0yPk35L/ZvbuwANbs\nqXV6YZAKMCXSjeRVuRhb7Vfx1c0VzB3pTnFdG80mCz+Y7OUQgTqDxWl/F073hM1m44frivlwvw6J\nYE84AVg6UcOnj4f140xFhhxXqA5iWloaqamp+Pj4kJmZ6TCkaLXaHp+nHQaYvpZ35Y033uCxxx5z\nmrdx40aWLl0K2EPO8vLyLmu8F9tfb9usW7cOQRB4+OGH+3XsocKQFIgajYa3336bOXPmkJaWNuAY\nI51Ox6pVqxx/q1evJiUlhfz8fLRabbc3mIuJxl/96leOz7NmzWLWrFkDGpPIxTlZ38SRmgbG+2r6\nzBLuDz2Jww6UUikjNXZB9NukeH6ZfRqFVMKTsdH89nQejW1mtAo5z43qvVsKgIdcBhKb48Gfqatn\nT00ND0TaH8BzAv1YeuAAJxsbmefvz/MjR6K6ym3eLgeFVELa4vH8/VQpAgIPxgVT0GBk3fFiXGVS\nms2dQsWtS5u8goICKioqiIuL47XXXiMrK4uysjIqKytpaWnpMQlFLpczbNgwpk+fTkREBEuWLCE+\nPv6Knl9VYxs1ejPD/V3Iq2qh1WxjzDBVt8zIrkgkAm4KCU2mzpeHQI/uhbgbDBae/KSEnEoTLa1W\nsAog2O8VV4WUMl2bQxx28PjHJRwrbmn/XMrhX8SQEOrK/83xYdsJPW0WG0qZwGOzffo8ty+zGvlw\nv/13rmtHv88ON/Curo0Az2tbPPz7zO7du9m9e/fVP/ClWhCLs6Ak66KrdIiqlStX8sYbbzgti4yM\n7PYsLSwsdFgN+1redd6RI0cc4q2DJUuWUFhYCPS/osnFxtvb/i62TVZWVvuLrvPzRCKRkJWVNWS9\njoKtp/oQQ4DVq1eTnp5OZGTkgJNUNm3ahKenJ3PmzHHMe/TRR1mxYgXQWW+xg97edARB6LHMhsjg\nsqW4iju2H6bNakMplfDtzZO4Kajvh+CVoMLYQk6jnjiNO759tOz7yeEjvF+U7+RK3jBlCkuGDbvC\no+yZNouV47VNaF3khHv03S+6L/56spjH95zCbLPx2qQY7o8NJv7D/ehMZsCGINiNFkl+Huy6ayKt\nTQ2cPn2ayMhI1q1bx969e2lsbKSoqAij0YjBYOh2DKlUikajYeLEiSQkJHDzzTdz0003XfbY++LT\n9Doe+Ns5Ws02gjQyyhrsmddLx3vyyfKIi4rEbacaWfjnfFrabPi5y9j99HBGBjonjSxbc5ZP0zsf\njgHuMiqazI57RSYRmB/vzuZjduusq1yCwWSl682UFKYi42V7TOjJ0haOnDMyPlxFbFDfJZI+3F/P\nA2uLu81XyARq/hTXZ9a0yOBxNZ4jgiDAkwcubyfvTOk2TolEwltvvcUzzzzT4yYSiYTt27c7nrUd\nVrj333+/X8vBHv61Y8cOtm7deknDXbduHevWrXN6lvc13t7OobdtGhoaOHu2M/FxzZo1ZGZmsn79\n+iErDmGIWRBXr17Ns88+6yhQ2RF8+sILL3RT9P0hMjKStLQ0J4Ho6enpcF93pbCw8HtR12go86dT\nRY5YN5PFyp9PFzkE4t7KGlafzEMllfL6uDhiPHpOGhksAlQuBKj6V6PwJ8Mj+fu5Iow2+4N/jIeG\nhYPgDrVYbbx8OI89pXWM99OwKnk4yj4sjy1mC3O/SGd/eT0SAd6bEcdjoztdiRvyy/nlwTzkEoF3\npo9kbsjFBfjpWj2P7DrhsD69cCAXpUTSLg4B7A+9/UsnMc7bjSMZh/H09CQrK4tXX30Vo9FIQUEB\nBoOBpqambsWuBUFAoVAQFxfH7NmzmTx5MosWLUJ6lSysP/2k2FFupkMcAnyWoeOns5uZGt37fTYv\nzgPDH8fRZrGhkDlbFhoMFl76soyvTzTQ1a8c4aegQt95HLPFxsPTvEmJ8+CpT0oxGK0gCJ360AaG\n1s5rNirYhVHB/a+decc4D0YGKTld1hn7qFIIrP/RMFEcfl8ZZA26ceNGwJ5YcmEi59y5cwF45JFH\nWLlyJRs2bCAzM5NNmzY5spf7sxxg+/btPRa8vhLjvdRtNBqNkxCMjIyksLBwSItDGGICsUMQhoSE\nEBAw8BpsHYwbN47CwkLWr1/vsA4uW7bMsXz9+vWsXr2ayMhI0tPT+6y7JHJl8VQ6366eCrv767ze\nwPwdBzC0uzIP1dSTvyilW/yewWzm3wVlCMA9UcEXLU8zmMR7asi97Wa+Lq3Az0XJwmFBTnUTB8rb\nRwp5PcPeC3pfu+D77bSRva5vsdrYkF/B/nJ71wurDZ7Zn8Oj8aEIgsDZRgP3bjvqEOGLvsmi5MGb\n0PTSS9potnD7l5lOrkkArUqOVBCwtFsZgtxccKsp5uh5A2fPnuWf//wnZrOZoqIiGhoaaGxs7BZn\n2NEpISAggNtvv53Jkydz++234+3tPaBrNRCe+qyEqqbe4/i65nCU1rfyj+/qcFNKeGSGj6MjSeY5\nAwcLmxkf5sbkLoWob/9jPvvym+0TAvae2ghU6517cwsCjApWYbUJmM2CfeWu1hsBnpvvx0DRuEo5\n+HI0b39TzUff6XCRw6+XBLB4/PVZGkhkEBjkJJUOy1lqaqrTfEEQsLSX7FqzZg2PPvooSUlJeHt7\ns3HjRifx1NdygB07dvDCCy9c8vgEQXCy9PdnvAM5x4sdc6gyJF3M0dHR5OfnX+thOBBdzFeHkmYj\nt2w5xMn6JhK0Hmy5ZRIBri58U1LBbTsPOq17/q55Tt1PWi1WZny1n0PVdndesp8Xu29Pvq6SQC6V\nZVuz+TSv3DF9U7CWnYsmdVtv+/ka7tmWjc5k5qZgLWklnT2jXWVS9CtSEASBPaW1zPrPYadtc+6d\nwXCvnjuPHKlqJPHf++0Cp/23MF6rJmNZMp/nVfF2VhGKphpWBCnwtBgd7qKysjLq6+upqanBZDJ1\n269UKkWlUjF37lxuueUWZs2axYgRV74XdFe2nWzg5ncLnOb5qqVU6+0Pg3snefHhj8IRBIG6ZjMJ\nr5ympN4ucm8aoWbnM8P55ngDd7xXgMVqF5OfrYjgriR7txHJI1lOOs9u1enogQxmC0glMG6Yinsm\na7kjQUPCS7k0t8c0RvnJ+fkCP0YFq5gYeemdYSxWG9J2hVvbZCb0ydMY2mMdlXKB/NUjGKbtu+6i\nyOBx1VzMPz3Y94oX4w+TxefdDcKQsiB2MGfOHMaPH09KSgo2mw1BEAbkYhYZWgxzU3Hirlk0t5lx\nk3feuglaDe5yGU1tdutLlLtbN/fv8fpGhzgE+K6qnlP1TSR4D93OODcFa50F4rCerWvLtmZTZ7KL\nl7SSWkZp1Zys0yMVBN6ZFut40x3n60GEh4qzjfaSMmN93Inw6L3QcpCbEpVMitFsARvIJQJf3p6E\nUirljhAPQmosNDZK+cMf3rELqbo66urqqK6udrTI64pcbrdUjh49mgcffJAJEyYwceLEboHfV5LT\n5UZu/UMBRbXdE2SOvjwSg8mGyWwlLqjzuuzL0zvEIcCuHD1VjW18sK+WjupIVht8sL+Wu5K8MFts\nPYjDTtos9nlmC6SfM5J+rpTS+ja2PxvJu9tqULtIeGVRAMFePVt2CypN9j7OYS7dRN7+3GZS/3iO\nqkYzD0zz4i8PD6O8wewQhwCmNhvFtW2iQBQRucEZkgIxJSWFlJSU74UJV+TS6SoOAYJdVaSlTOV3\np/JRSaX8KiG2m2XQR6lwcntKBQHvHrt5DB1WxIciEQT2lNaR5OfBzxLCu61jtlrRtTq7b59KCCfJ\nX4NWKSfEvVPoeCjk7L9rMmtPFCOXCvwkPgz5BdWZz9TpUUglRGpc8XdTsvHWcTy/395B5Y3k4YR7\nqDh8+DB1dXW89957WK1WjEYjVVVV1NTUUFNT022Mrq6umEwmvLy8ePLJJ5k2bRpxcXHXpND1zz4p\n6VEcPpisJVDT8/0S5q2wJ+K0ayxPVykalRR/D+f71L89i1kmFbhjjIYvjzYA4KoQMFsEWjuKhvdg\nnNl2qpG37w5mSnTP1sIvsxqo0JlxV0l46C8lmNpseKgk7H4hinHhnd/xfe+fp1xnf5H62956UuLV\nLB6vIX6YCydK7JnRUX4KRodcHz3ARa4AV7AOosj3iyHpYr7eEF3MQ4O/nDnH04dOAfD7KaN4aHjo\nNR5R/7HZbDy5/xQf55YRonbh47ljGantX5mfn+w+yfsnzgMQ5q4iY2kyPqpLF8cPbD3Gh2fKAHhx\nQiSvJzuX98nLyyM3N5f169djMpkQBIHz589jNBo5d+5ct1gdFxcXzGYzUqmUxx57jEWLFhEQEMDw\n4RcvG3QlmfibM6QXdWZR3xznwRNzfbl5lMdFX0jX7K7m9W8qUCslvH9fKLNGuFPXbOau9wvZn9/M\nxAhXPn8sEr92kdhmtvHXfbXU6s3cPcGTkS/mYLZ1SdC54FCLxmn4/PGei2w/9XEZ72yxC2+FrIvQ\nBB6c7sXflnd2anFffgJ9S+dx3r0viJ/e7ENtk5k/7ajFarXx2Bxv/DVieZurzVVzMT9+6PJ28t4k\n8Xl3gzCkBOL69etZsWIFgiCwYcOGPnsxXi1EgXhlsNls/Pl0ERnVDUwP0PKjEUNH0A02H+WUcP+O\no47pRF8PMlOn93v7zWcrqW1p4/ZwvwGJw0MVOiZ/6hy7VPrwLILULtTU1HDkyBHWrl2LXq/H3d2d\nU6dOIZPJyMnJ6THOUKVS0draSnJyMq+99hpKpfKqu5N74uNDdTzwQRFWG7i7SNj77HDGhlx+KSCb\nzcaqr6vYcbqJsSEqXr8rEKXcfq51ejP+T57AbG3vQ20FLrgM/308goWJPSeOuD183MlF3FVc3j/V\nk3+u6Py/ef7Tct78qhqAAI2M9FejRVfydcJVE4j/d7jvFS/GnyaKz7sbhCHlYn7zzTcdwe133333\ndSMQRa4Mbx7L54X0MwD8Pa8Ys83GI7GD193hu+pa3s89i0Yu56Uxsfj1Uc/wWlKsb3GaPtfUc+u5\n3lgQ4X9Zx7f28EAwtbaxa9cB1qxZQ0NDA35+fuTk5ODu7k5xcXGPcYZqtRqDwYCHhwd/+9vfUKvV\nxMfH4+XldVnjGyzunaRlZIALZypaSI5yI9xncO6JP+2o4cVN9njRHafsxazfvddeB/PXX1XYxSGA\nAKE+ClrabFQ12l3BKoVAYljvItXXQ8a5mi5hBB1Vc2zOCc8Aq+4OZGasG2X1Zm4d606gWAhbRESk\nF4aUQPT09HQ04Bb5/pNW6hyvtr20etAEYl6jnrlp+zG2uz0P1NSReeuVL7w8UBZG+PN6Zr6jK0lt\nSxvxn+xh6+2TCFZf+XixyQGeLI0J4LO8CgB+oNLz88dXUFtbS3h4OLm5uTQ2NlJbW8uJEye6be/q\n6kpraytms5l3332XsWPH4u/vT0xMzBUf+6WSGOZ6UUE2ENLPGnqdrr+gJV6En4LfLwvmhY3lmNps\n/HyBPyHevVv5Pn4slGV/Ok9lgxk/Dyml9WZHHKNc2t0tPj+he7tEkRsI0fgn0k+Gbo0Pke89CVqP\ni05fDum19Q5xCJBVp6OpvRbfqYZG/l1UTG5jdwvYQChqNDBpw34067dx77ZsWi29927ujTitO4eX\nTGWsT+c1OFmn55eHcwZljH0hCAKfzE/gq2nBLDr0MRWfvo+7uzsNDQ1kZ2fT2tpKeno65eXl3bZT\nqVSYTCbmzJnDzp07mTBhAsnJydelOLxSTB/uXFB7xojO6eUzvFEp7EJOKoHHZ/swNtSVb5+KYufK\naObEXTzWdOpwN4rfHYnpb/F89Fgoru378lZLeeoW30E+E5Ehj024vD+RG4YhZUHMysoiOjoasHc2\n6fgsCEK/G3SLDB1eHx9Lm9VGeo2OWI0bc4J8sNpsAyoyva2skteO56CQSlg1dhRjvDTIBAFzuw9u\nuLuaqhYTU7ft4bjO3tbMRSph603TmOF/ee38Vuw+weEqe8bqv/LKGOfrwTPjek44uBhxWndC1C5k\n1zQ65jW2mi+yxeDR2NjIypUrycnJITo6Gl2FjUOHDuHp6cnhw4cxGru7vDviDL29vfnggw9wdXVl\n5MiRA+6dPpT58UxvLFYbaaeaGBuqYuWtnS7/5Gg1R16O5WBBM2OGqRjXg/WypdXCtuN6hmnlJEb0\nbN0UBIFZI9Xkro4lp9zE6BAXfD2G1E+8yNVAtCCK9JMhlaRyYUPvrlzLh46YpHJlefrgSX53wt48\nfWGYP5/PnXBJIrGk2cjwL7c7LIbeSgVFd97Mrspq/phTiEYu463EeJbtO8zh2nqnbe8OG8Yn0yZe\n1vjj/72Xk3V6x/QTCeG8My1uQPtKK67h9m/SMVmsuEglfHv7RGYFX7nuIhaLhaeffppjx44RExND\nWVkZZ8+eJTg4mMzMTGpra7tt01HP0MXFhaeffprZs2cTGBjoeKET6Rur1YakvZB1QYWJMS/mORJR\nHp7pxV+WX5s+3iJXjquWpLIio+8VL8ba8eLz7gZhSL1e3oiWhxudCkOLQxwCfHGukn0VdeTpm3gv\npxAfpYL3JiYwQtPphrPabByorkMmEZjko+V0Y6OTO7nW1Eq5sYUFwwJZMCzQMT+/qbnb8TXyy/8X\neWBEMCsP2F3BComEu6MD+9iid+aG+HB06XSyaxpJ9NUQ42mvi9dgauPj3DJkEoH7R1x+G0GbzcbL\nL7/MgQMHiIqKwtPTk/379xMQEEBbWxvbtm3rcTuFQoFUKiU5OZnnnnsOjUbDhAkTrnl28lDirc3V\nvLSpEqkAP5rpRfZ5o1OW8l/31PP6Un+xFI2IiMgVZUgJRJEbD2kPlsJTDY38JD3b4SlZsOsAuXfO\nA+zCZsneQ/yn2B4Ld19ECCdrmjozO4EYdzfC3Lq76e4MCeSDgnOO6eHual4ZMzBLX1eeS4xipJea\nHF0zKSE+JPhcXizlCC81I7w6Y9gMbRamfX6AE+1Wyo9yStl152RHK7VLwWaz8c4777Bjxw4CAgJw\nc3Pj4MGDaDQavL29+d///kdra/dC0nK5HKlUSnBwMM899xxxcXHEx8eLL3WXyP/ONLPykwrH9Htp\ndfT0NQ7kuxURAUQXs0i/EQWiyHWNr0rJK4kjeDnLboG7P3oYcqng9BuX39SM2WpFJpGQUatziEOA\nj84WQ1t7s2CJDVeZlD0pM1BIu1u01k4cR6KXJyUGI7cE+TPTf/AC/BdE+LNg0PbmTGZ1g0McAvyv\nvJ7CRoPDutgfbDYbH3zwAd988w1qtRq5XE52djZubm6EhISwZ8+eXtvjSSQSPD09ufPOO7njjjsY\nMWIEUVFRg3JuNxKnS1u443dFjhI1HS801gse6D+e5UWFzkzKb4oorW/jgemevH3vwK3SIjcYYqKJ\nSD8RBaLIdc9LicN5aHgILRYLMRo1+Y163GRSR8mXuYF+yNpdmD0JPzsCWAXUEgWBrj2XhZFJJPzf\niKEnbPxdFUiETiGhlErQuvTf/fivf/2LLVu2YDabsVgs5ObmolAoCAwMJDs7m9LS0m7byOVyBEHA\n1dWVxMREfvCDHzBmzBjGjx8vtsAcIO9sqUFnaM9wv/AStn+3Y0KVrP/xMMaszON4sb0A+W+/rmVi\nlCtLJ4vlv0T6gWhBFOknokAUGRKEqDv7yUZ7qNk7bwb/KDyPt1LB0yM7kx8y6+qJ06g51dAECLww\najjfnq8mu64BmSDw9oRR12D0V5bhnmr+PCOenx/KQS6R8Mfpcf3qM71p0ya2bduGwWBw1DAUBAGN\nRkN5eTn79u3DanUuydMhDGUyGdHR0SxcuJAJEyYwY8YMsT5pHxwpMvLguhIqG8ysmK3llbs6M5lt\nNhsFlc6ue4VMoNVsc3qgl9ebufsP5zlR4tyd5nyNc79tERERkctlSGUxX6+IWczXB+/nFvKT9GzH\n9EvxsbySEIfJYuFYXSP+KiWh6sEtgDwY1Le0sf6UvVfy8rhQvC7B+jcQvvrqK9LS0mhqaqKmpoa6\nujoEQUChUGA2mzl48GC39ngSiQSFwi46g4KCmDFjBlOmTGH27NlidnI/iX4qh4KqThH49TNh3DrW\nHo/6888q+M0X9hZ4CODpKmHHCxE0GK3cvKqItvb+ynHBSk6VOAtJd5WE9NeiGBF0/XYCEumbq5bF\n/HDW5e3kr4ni8+4GQbQgilxz8hr0vJadi9lm47nR0Yz1HpglantFldP0odo6AJRSKRN8r49WbhfS\nYrYw4z+dCSYf5pSSnjoVl8vMQu6JLVu2sHPnTgwGA2VlZdTU1CCRSJDL5chkMo4cOUJNjXP3GkEQ\nUCqV2Gw21Go148ePZ+bMmYwbN4558+aJ7uRL4Hyts5Vvc1YT8cNcCPVR8N+MztqW2GBSpCvlOgvz\nE9Ts+WUEmw43Euot59ujTU4CMS5YwaYnwkRxKNJ/RG0n0k9EgShyWRyurmf5vqPUt7bxs7gInh59\nadYkg9nM7C3fUdJs7zW8tbSKnLtm4zOAvshjPD34T3FZl+nr3+V5sk7vlGByok7P6Xo943wHb+w7\nd+5ky5YtyOVyCgoKKC8vR6VSIZfLUSgUnD9/nlOnTnXbzsXFHqupVCqJjIzklltuITw8nLvvvlt0\nJw+AZVM0fLivs5brmm11fLS3gR2/CCfaX8Gp0k6r7dZjerYea2bJRA82PBHKlBh7wpHaRcqWo53l\nmJ6/w5fYYFEcilwCYpKKSD8RBaLIJdFisfDG8VzO6g0sCQtixb5jVBjtD7Zn0k8x0deL6QH9L9yc\nXdtASbORjqj8OlMbp3V6pgdc2kPPZrNRoDOCxZ6tPMvfl1cTLr9EzZUmyE2JUirB1N5+TymVEOA6\nOA/8ffv2sXnzZrRaLaWlpeTm5qLVanF3d8disdDa2squXbsc7qIOF1eHRVEqlRIQEMDUqVMZM2YM\nycnJTJ48eVDGdqOxLq2OQzkGgjUymk1WdHorIKBvsfLut7Ws+3Ew1vWlHCkyUlrX2R1n4+FGzte0\nEupjd+//aJYX3mopB/MNJMe4siBJ7KssIiJyZRAFosglsfzAET4qLAHgo8JibJb2EjLtnNMbmE7f\nArGhtY1b0r7jYHU9EilYLQACGoWMERp1X5t3I628un1cErDCvrJ6rNdZnMzx2kbqTWYm+WtQSu0u\n5EA3F/6VMpZnvzsDwOrkWALdes6y7i+HDh3iv//9L8HBweh0Or799lv8/f0JCgpCp9Ph4uLCd999\n52iP1yEMZTKZowuKVqslOjqaW2+9FR8fH374wx+Kxa4HyOF8A4/+tQzH7SgAguBw9aldJPhr5Gx+\nJpzb3iqitItFWSoBN6XzdV843oOF40VhKDJArq+fRZHrGFEgilwSuyo6Y9RswHCNG7k6AwA+Lgpu\nCuxf3+LfncrnYLW9rZ0V8HGVk+zjw88TYvBTXboFrcXinG1rttk4UFlHvNYDf9XlCa7B4NcZ+fzy\nUC4Ak/w92XXnJEe3k8VRASyOCrjsY2RmZrJp0ybCwsKQy+WsWbMGX19fhg8fTkVFBQqFgtzcXCoq\n7IWYO4RhR7kai8WCu7s7/v7+3HrrrQQHBzN37lxiY2Mve2w3Av9Jb+R0aQvzRrszPqoz676gstVZ\nHNL5WSEV+Ol8+wtVUXUr32Tr6cpTt3rj7S7+TIsMIqKLWaSfiL88IpfEWC8NpYYWx/Rr42KpNrZR\n39rGvVHBBLupnNb/S24RX5VUMNxDzUsJsajbW9fp28xO6w1zU/HFXOeex0azhRX7j7KjvIaxWg8+\nnpmEp7LnDN95Qb5M9dOyv8qemOIukzF32wHcZFK+mDOJOUGDV/T6UmmzWPnV4TzH9KFKHV+crWRZ\nTNCg7P/o0aNs2LCBwMBAwsPD+eMf/4i7uzvx8fEUFxfT2tpKc3Mz+/fvB5yzJdVqNVar1VH3cMSI\nEaSkpODr68vixYtFq2E/efQvpazdYX/heemzKt7/cRA/nOGJQiZheqwbWrWUOr2l23atFhs7jjcz\napgLLnLBbljsYuG5J1nsRCMyyIgWRJF+Ipa5GQRulDI3rRYrTW1mnsw4zlm9gdSwIB6ICiGvsZko\ndze0Sufae7elHeCb0krH9F1hQWycZReBZxqamPrtXupMbUgFgX9OS+QHkSFO2/8i8zSvH8t1dJZI\n1GrIXDjrouPbW1nDB3nn+XdhZ3HnKb5efHf7jMu/AAPEYrXhtm6rI84QYNMtiZdtNTx+/Diff/45\nWq2WmJgYXnjhBSQSCbGxsRQXF+Pp6UlTUxO7d+922q4jM1kqlSIIAsHBwXh5ebFw4UJ8fHxISUkh\nLCzsssb2faesro33t9chkwo8ONOTyJ/ldut4khjuws5fRJB51khlg5ldp/R8naWnTOf8cjQ/wZ1v\nnrdf7999XcOz/6rAaoNnbvNh9b2Xb1kWGRpctTI3D2T3veLF+OfYG+J5JyJaEG9YtpdW8X/fHcdo\nsfDS2BEsj+1dEOyvrGVxWjrVLa3cExXMP2ckIpUInNQ1MuK/O6hqMaFVyNmeMpVEb7vFY19lrZM4\nBNhVXu34HKtx5/gdszlYXU+Mhxujvbpnxe6vqAWh/YdIgKy6BpK+3M2Om6f2aElUSCXMDfLj2xLn\ncjeSa1yKRSoR+POMUazYcwKz1cbCCH8WRvj3vWEvnDx5ks8//xwPDw/uuusufvzjH6PX60lISKC6\nupqmpiZUKhXbt2+npaXT2isIAnK5HJVKRWtrK1qtlqCgIIYPH868efPw9/dn9uzZSKWDX2Ln+0Sj\nwcLUlwspqraXrflonw6rPefEiayiFib+vIDccvt6CplAaxt0tH3sePFRD/3ahwAAIABJREFUKzqt\ntE/d5sPDN3lhtthE17LIlUF0MYv0E9GCOAgMNQtic5uZwH9vo6ndzSsR4NiiWYzy6jnwPfqzNAqa\nDI7pv88Yyw9jQrlnbzqfFHVa6haGBPDfm+xZrjvLq5mzbb/Tfmb5+7Drlmn9Hqf7x5vRm7u45WyA\nTeCFMTH8Jqn3DOXSZiMzvt1HYZMBD7mMzXMnMSOgf7GRV5IaYytNbWbC3VUDqh94+vRpvvjiC5RK\nJXfccQfLly+ntLSU8ePHo9PpsFqtyGQyDh486KhnKJFIsNlsSCQS3N3dMZvNKJVKYmNjcXFxYeHC\nhQQFBZGUlER4ePggn/H3j4IKE4t/d55j550LiYdoZRR3ZB93/WqtF8ywdUx3Zo5venoYiyaKSSc3\nOlfNgnjf0cvbyUcJQ+p5JzJwxFfUG5D61jaHOAR7D9/i5pZeBWKdqa3bdFGTgc3nnS2EXS11M/y9\nmRfkx7YyuzVvpEbtcC/3B32bGX2bpXtPWqCx1dx9ZheC3VScuHM2eY16hrmpurm+rxU+KgU+qksf\nS05ODps3b0YikbBs2TKefvpp3n//fRISEvD09KSqqgo3Nzfy8vIc9Qy7JqCoVCpkMhkWi4WYmBi8\nvLyIjIzkjjvuwNPTkylTpiCTiT8F/WHh2+c5eUGbO2yQMkaNj7uMt7+qsbuaOzWg03od+HnI+Omt\nWqbFujIzzu0Kj1pEpAuiBVGkn4gR6DcgQa4uzOhSqzBc7crki3Qa+X+jIhyfA1RKUiOCWHUsj2aT\nxfHQkwsCL40Z4VhPJpHwzZwp7L1lGum3zeTUnXMv2h94fc45pmz+H4t3HKak2YhKKkUuucDyYgMP\nuYxHRvQdH6eSSRmj1Vw34nAg5OTk8M477/DVV19x5513kpeXx7x58zCZTCQkJNDQ0IDNZsNkMvHF\nF184FbuWSCQolUq8vOzfq5eXFzNnzmTYsGHce++9LFu2jLi4OKZPny6Kw0sgt7y7OAT4cE8DN41S\n88UzYQR5ydG6ynj/4UAeTdECdiv97YlqQn0UjItw4dsXQ/n5Yl9RHIpcfWyX+dcLqampaLVatFot\nzz//fLflK1ascJTP2rRpU7+Xb9y4EYlE0uNfdvbF4yl726dOp3OMNzo6mvXr1190P/09h76uwVBD\nfDLcgEgEgW9vnsT6M+cxWiw8GBPSa3YwwCuJsUz396bUYGResB+Bri6YO8wk7ca8qQE+jNU6Z1xK\nJQLT/ft27e4sq+aR/Z3/6Ier6ylZdjP/uWkS9+zNwGixMC/IjweiQpni53Vd9lMeTPLy8ti6dSsG\ng4HbbruNzz//nNtvv52AgAAmTJhAbW0tUqkUm83Gt99+69Q3WSqVIpFI8PDwoLXV3pItOTkZlUpF\naGgo999/PyaTiUmTJjl6K4tA2jE9+RWtzBntRkxg72WWvNUyKhrab/qOh6VNoM0CP/lLOYXvxVCa\nNMJpm5eX+KKQCWjV4s+tyPeTpKQkJBIJGzdupL6+nuXLlwOwatUqwC6sdu7cycaNG8nMzCQ1NZXM\nzEzGjRvX5/KUlBTS0tKcjpeZmcmqVasYO3Zsr2O62D5TU1PR6XTs3LmT9PR0VqxYQWRkJHPmzBnQ\n/vpzDYYiN3wMopeXFw0NDU7z3nrrLZ555hkKCwvZtGkTiYmJZGVl8cgjj/TYYmyoxSD2l8LGZmpN\nrYz11iC/oNzJaV0TM7/eT3VLK2q5lG/mTb6kDipd+f3JAp48dMLJnfyf2RO5MyzwcoY/5MjLy2PX\nrl00NDQwd+5csrKy+P3vf49KpSImJoa6ujq8vLyor6/nwIEDjvu2I55RJpPh5uaGIAgOd3J0dDQW\ni4W7776bkJAQR8bz/2fvzeOiuu/9/+eZfYYZBhj2nQFBcEERXGJcoqKJ2ZpF03zTNL23UZP2d29v\n06Ym6fJIe9sbY27a3t/3tjVLv/fbvXGrbWoTI1GMuwgSEUHAYUd2hm2Y/Xz/GBlAcItERc7z8UBn\nzufMmzMfZs55nffnvUgM8dP3O/jWb33hEnqNjCM/TmRGwti1Mz8s7uXB1+twe0VUcoGhaAeByCAF\nF95OvTkHLXHHcdNiEJ8suTEjf5ox4jgtFgspKSlYLBZ/HPOOHTtYt24dnZ2+smMymYy8vDyWLVsG\nwNq1awkJCWHLli3XNH4pubm5PP/88zz66KOXPcwr2ZTJZBQVFfkF5nPPPUdnZydbt279TPauZQ4m\nIpP6lra7u5sdO3b4/+AA7777Ls8++yzg+wCcPHkSgOzsbNatW3fFD9CdxC/OVvOvx0rwirAgPJiP\n77vLX9gZID3IQPnjyzjb1UtKYACRus9ejHpJZOioWMPqPtvYO9+BVFVVcfDgQdrb21m0aBFtbW08\n++yzuN1upk+f7heCMpmMQ4cOUV9fD4wUhkqlEoPBQG9vL9HR0cycOROVSkVMTAxf+9rXaGhoIDMz\n099fWWKITbuGir/32b38/mA3r19GIN47y0Dlf03hXJOTWJOChzfXc77FhSDAq2tuXa1NCYlrZpw1\nqNVqHZXkZjQasVp9fceLiooARlxnc3Nzef31169p/FKKioro6uq6oji8ks3B8+lwZ89gvPZnsQdX\nn4OJyqQWiDDyD759+3a/i7moqIiQkBD/mNFoHOXmvlMRRZEXT5z113U72trFtuomvjxlZJ3CELWK\nuz+j13A4s01G7osJ54NGX0KLXiFndWz4Ddu93amqquLYsWNcuHCBuXPnMnXqVL71rW/R09NDeno6\nfX19/pqFJSUllJT47vzlcjlerxe1Wo0oigQGBmK32/F6vSxcuJD4+HjsdjvPPvsser0ep9PJ4sW3\nrg7k7cz/7LPS1j0yGerk+YErviYxXEViuG95vuh1M8cqB4gJUTAtThLfEhOAcRaIWVlZFBQUjNj2\n1ltvMWfOHMDnYQwKGhl+lJSU5PesXW38UtatW8cbb7xxxWO6kk2j0ciKFSvYuHEjW7du5fz582zb\nto133333M9mDq8/BRGVSC8ThdxBWq5Wuri6SknwJGWN9IEJCQiguLr5i3MOdgky48vOr8eaZKv5U\n3UCCXscv5s28qofx/RXz+XVlLU02O2sSo0kzGq7ziCcO58+f5+TJk9TV1TFr1ixmzJjBiy++yIUL\nF0hJScFoNCKTyQgJCaGmpoYTJ07gcg1lkstkMpRKJRqNBrlcjsvlYurUqcyYMQO3201iYiJf/epX\nqaqqIiMjA53uzo7ZvBFOnreP2na69soCcTiBOjkrM6+/d7iExJ2I1Wpl3bp17Ny5k8LCQgA6OztH\nOFuG73st48MZTFgZ7tgZi6vZ3Lp1KyEhIf5OUWvWrLmiR/J6jnGsOZioSFnMF9m0aRNPPPGE//lE\njhu4UQRB4L/mT0d+0eW+NMrEmqRrbwu3s7aJb58spbCjm521F/jSwat/SeQygfVpibw6e+ply+1M\ndCwWCzt37mTnzp3o9XoeeOABtmzZwjPPPINGoyEmJsa/LNzW1sauXbs4fPgwLpdrRJFrtVpNaGgo\nLpeL0NBQ7rnnHnJyclAoFLzwwgusXr2arq4uFi1aNOnFoccjsuNYD7/Nt9JjG93qblG6dtS2jl7x\njowplpAAfGVubuTnMuTl5ZGUlERxcTGFhYV+R0pISMiY19NBB8zVxofz2muvsWHDhhHbhmc5D8ZX\nX8lmd3c3c+bMYcOGDRQVFbF3714KCwv9WcfXa+9a5mCiMqk9iMPJy8sbkW1kMplG3R1cSTS++uqr\n/sdLly5l6dKl432IN5WvpiVwb2w4XQ4X6UEG5NfhQjzT1XvF55MNi8VCSUkJVVVVJCcn8/DDD7Np\n0yZKSkoIDg4mIiICjUZDYmIi586dY//+/bS1+brODN7harVaRFHEZDLR3d2Ny+ViwYIFZGRk4HA4\nmDlzJg8++CCVlZVkZWVhMNy5Htjr4cmfN7LtqO/zFx7Yyr+sDuGFB0PQqX3z+sW7jWz8Qwt17UO1\nNUXA4wWF1FBG4nMkPz9/VBvMm8L11kFsPQFtBVfcZfv27axdu5aNGzfy2muvjRgzm82jrqUWi8Xv\nkbva+PBtp06dYu3atSO2P/7441gsFoBrspmXl4cgCPzqV7/yj7311lusWbOGTZs2Xbe9a5mDicqk\nz2IGnzjcvHkzH330kX/bqVOnWLdunT9JBS5/F3GnZjF/Vo60drL4g0N4Ls7Jl5Pj+M2irFt8VDef\n6upqysrKqKioIDY2ltmzZ/PLX/6Sw4cPo9VqkcvlBAUFYTabOXPmDBUVFVgsFkRR9McZajQaBEFA\nr9fj9Xpxu91kZGQwdepUdDodBoOBp556CpfLhUwmY+bMmbf6bd82tFjdRD5bOWr70mk69v9wqJbm\na39p45U/DrWBXDEjgL0/kHpRS9xcbloW8+OlN2Zk+7RRxymTyfzVP8ZCJpOxd+9ef4z/mjVrCA0N\n9Yu0q42Dr7rIxx9/zJ49e67pMC9nMysri9dff52qqir/vnl5eaxcuRKv13vd9oa/hyvNwURE8iDi\nS0i51FU8WNtoEIvFQm5u7s08rAnLXeEh7MldwLaaJhL0Wr41LeVWH9JNpbq6moqKCsrLy4mIiODh\nhx/m97//PT/72c9QKpXo9Xr0ej3Tpk2jtLSUvXv3UlJSgsfj8QtDpVKJQqFAoVCg1+uxWq0kJCSQ\nkpLClClTcLvdLFmyhDlz5mCxWPxdVSSG0GtkaJQCdtfIi1l+qY2uPg/Bep+L8KUvhKJRynj/ZC9z\nkjVs/tJn75MtITHZ2L59O+BL2rg0kXPFihUArF+/no0bN7Jt2zYKCwvZsWOHPzP4WsYB9u7dS3Z2\n9jUf1+VsJiUlsXHjRp577jnWr19PZ2cnGzZsYM2aNZ/J3rXOwUREEoj47qqSk5NHbX/nnXd44403\nMJvNFBQUXHO1dQlYHh3G8ujJVfajpqaGqqoqzp49i8lk4qGHHuL999/nmWeeQRRFDAYDcrmcWbNm\ncf78eQ4cOEBBQQFOpxOFQuEvcq3V+no1h4WF0dbWhiiK3H333WRkZOB2uzGbzSxYsACZTEZHRwdL\nliy51W/9tiRAIyMtWsWntSO7n8hEgfhHmnjlaSMvfzkQQRD45gMmvvnAjWfkS0jc9oxzq73q6mqA\nUQJrsB4rwJYtW3juueeYM2cOJpOJ7du3j4jPu9o4wMcff8zLL798zcd1JZsff/wxGzduJDs7m6Cg\nIDZs2HDVZeEr2buWOZiISEvM44C0xDy5qampwWKxUF5ejsFgYMGCBRw4cID33nuP/v5+goKCcLvd\npKen09/fT2VlJYWFhfT19SGXDwW6abVafxcUm82G1+slMzOT5ORkgoODMRqNLFiwgJSUFGpra5kx\nY8aYmXUSPuwOL9qnzo3YJngExC4NuHzzfuztcBrbvPz8vV4CA2S8+S9G0hJ8XYX+dnCA77/Tg0IO\nb3zdyLJsqYyNxOfHTVtifvTs1Xe8EjszpOvdJEESiOOAJBAnJ7W1tVRXV3Pu3DnUajV33XUXx48f\nZ8eOHbS2thIeHk5fXx8pKSloNBrOnj1LUVERHR0dyGQy/+dGq9WiVCpRq9UolUqsVitms5mkpCQy\nMzPp6+tj5cqVBAcHo9PpcDqdZGVNvpjO6+HEWQcPvtRGq6wPFMO+m+0acA0tnPzXN4L41v/uxn3x\nJl+lgBWztLz8z3pW/FsbDl+3QvQ6gbqdUQQHSoUfJD4fbppAfKTsxoz8JV263k0SpCVmCYnrpLa2\nltraWs6dO4dMJmPx4sUUFxfz4x//GIvFgslkwmAwEBgYSHp6OqWlpZw+fZqGhgY8Hg8KhQKv14tK\npUKpVKJSqQgICPAXcV20aBEZGRkIgkB8fDxTpkwhJiaGhoYGkpKSCAubXEv314soivyvH7bT2uUF\nuQYCHSATwaYE95DH1hwt53yDxy8OAZxu+EfBAMfOOvziEKDPJnKhwyMJRAkJiUmD5EEcByQP4uSg\nrq6O2tpaqqqq8Hg8zJ8/n7KyMg4ePOjvvON0Ov3CsLy8nNLSUsrLy/F4PKhUKr9AVKvVqFQqNBoN\nNpsNURTJzs4mMjKShARfBu2jjz7KwMAAQUFB9Pf3k52dfcV2UHcKLVY3G3/XSkOHiwWpWp5eaiQ1\nWn3V13k8Ij/5bQ9v/7Wfxnb32FVevbDhIT0ZiUr+vNvB0RIXqId1UlF4fGLSJSc+XEFduxN0LlQq\n2PIv4fzTyjuzRqfEreemeRC/cIMexF2SB3GyIAnEcUASiHc2dXV11NXVUVNTw8DAADk5OVRXV1NY\nWMiRI0f8nkBBEJg1axaNjY2cPn2a06dP43a7UavVOBwOf89krVaLVqvF6/XS09NDSkoKiYmJTJ8+\nnf7+flavXo1Wq8VkMtHS0kJaWhoREZMns/auV2o4em6om4lMgN9/I5onFxmv8CrY9LseXn6rGxB9\ngu9SLS36ftbfp+eP/3Dib/ctiD6RqHOB9mI9RC/88cUInnqzheFf7RM/iyMnVYpFlBh/bppAfLj8\nxoz8dap0vZskSEvMEhKXob6+nrq6Ourr6+np6WHWrFk0Nzfz4Ycfsn//ftxuN6GhofT395ORkYHd\nbic/P5+ioiIGBgZQqVTIZDJcLhcBAQEoFAoMBgMej4fu7m5/T9C4uDgCAwMxmUx85StfobGx0V/x\nf9GiRZPCazicgqqRre68IvxoW7tfILZbPTz63Q6OlTq4a7qaHT8xoZAL7Cu62DbvCuIQUeDtv/f7\nMjlVF8eccnDJQD1ULBsZ/OlgL5deB0tqHJJAlJjYSNpO4hqRBKKExCUMCsPm5mba29uZMWMGXV1d\nHDlyhH379tHd3U1sbCzd3d2EhoZiNps5efIkxcXFWK1WlEqlv0fyYGZyUFAQHo+Hvr4+ABYuXEhw\ncDDp6ekMDAzw1FNP0dPTg81mQxAEgoODycjIuMUzcWtYOFXHgVLbiG0alU/xfXRigBd/1cXpejvI\nBQ4Ui3z5xx3sK7FhF9xgAAYU4B22viwCXgBh6OKod4LmYvDhgJxQUYc+UkFN65BIjDGNPj0eLbfz\nzyuv7MmUkLitGecyNxJ3LpJAlJC4SENDA3V1dXR0dNDY2Eh6ejoGg4HTp0+zb98+mpubSUxMRC6X\no1AomDFjBqWlpZw6dYqWlhZkMhkqlQqHw+EXhoNlaOx2O3a7neTkZBITE0lNTUWhUJCWlsaSJUso\nLy8nJCSE3t5eFi5cOCm8hv+zz8rmXR0okPHUtEj+130a4uMFdr4Yy4YtF9hV0Iv7YnigzCUn8N46\nem0eMLhAByCCDv5RMTDkDUQAuRO61SAIyATwehkShiK+GEPNsMwUrQeNTOQ3L0SQ+71GnC7f5vgw\nBUmRCqqbh0Rjae2wzBUJCQmJOxgpBnEckGIQJzaNjY3U1tZitVqpq6sjOTkZQRCwWCwcPnyY6upq\n4uLicLvdCIJAXFwcLS0tHDt2jNraWn9LvIGBAdRqNQqFgoCAAPR6Pb29vQwMDGA0Gpk/fz7BwcEk\nJCQgl8t5+umnaWtrw+v10tvbS1JSErGxsbd6OsaF2lYXe071kxCuZNXsAOxOL6X1DsoaHIQFKgg3\nypnznZqhJVyXDETQa2X87w3hvPSbdlqs7pFGvYIvXlAA3z/iyKVkcXA7YFUzPVFJVaWAXRyWhILX\n9zhkZPHsN78UQWyMwBObmv3bFHJ486uhfOPtdv+2bzwcxM/XS1nkEuPPTYtBfODc1Xe8En9Pk653\nkwTJgygxaRkUhjabjfPnzxMXF0daWho1NTUUFhZy+vRpf1axw+EgLCzM34+zsrISl8uFTqejr6/P\nn70sCAKRkZFYrVY6OjoQBIHFixf7ey4LgsDChQuZPXs2p06dIigoCJvNxsKFC5HJ7owSKlUXnMx9\nsZauPjcIYDLIUCvlNHW5/Z68henakfF9Si+4BfocXjb8svmiF+8S9Scf9oIrXaA8vt17esHuANRe\n32sDXP7M5qmRKs61OBFF+OqKQF74YiA7DveOMCMTBJ6/34jdJfLxpwPMSlLzo6elwuQSExxpiVni\nGpE8iOOA5EGcWDQ1NVFbW4vT6aSiooLIyEgCAwOpqamhrKyMY8eOYTQaCQsLo6urC6PRSGhoKAcP\nHqSsrAybzYZarcZu9yVF6PV6RFEkJiYGm81Gf38/brebpKQkMjIyCA8PJywsjLCwMNasWUNjYyN9\nfX04HA7i4uL8ZW0mIg6Xl+1HehGBxxcY0Khk/GRbB9/7Y+tQsoj/q3HxwiT6/gkJlNHZ5x3a5hkS\nyHq1jD778HVhRupF7zCTwvBtAjgBh9InCpXeMZNWBKDy1/FoVTKiL8YautwiD/2oiQ8Lbchk8N/P\nhfH8/VJ/a4mbw03zIK6uuDEj/0iVrneTBMmDKDFpaGpqoqamBlEUOXfuHEFBQaSlpVFbW0txcTHH\njh3D5XKRlpbmXxpOTU2loKCAv//973R3d/sLWw8MDGAwGBBFEZPJhFqtpr29HYfDQVBQEIsWLUKn\n0zFlyhQ8Hg+rV68mNTWV48ePYzAYcDqdLFiwYESrvYmG2yOy8of1fHLWl3X81kdW9v8onkCtMFKU\njRCJPuQygQ++G8/bu3vZ+meBXm0vGC8G/9nl9PXKfJ4/EehWgWkABqdKHGZbZLQAVQIKt08wXiaW\nUwR0ahlRIUOnQKVCYPer0ZxrcBGokxETKp0eJSQkJi+SB3EckDyItzcXLlygpqYGQRAoLy8nICCA\niIgIGhoauHDhAocPH/a3t5PL5XR2dhITE0NtbS0FBQV0dnYCoFQqsdlsaLVaVCoVKpWKyMhImpub\ncTgcyGQy5s+fT3h4OFFRURiNRsxmMw8++CD19fW0tLQgiiLR0dEkJSXd4ln57NS0uGjocCGXCdz1\nSu2IsbxXY3nx/7ZyqsYx2uMn+LKIZTL473URPH9vMADtVjfT/rmR1n6Xbz+XnKEq115fjUK/J3CM\nuMNLl8wGYxEHPYpjMDNJxae/iP9M719C4vPgpnkQ76u8MSMfTJGud5MESSCOA5JAvD25cOEC1dXV\nKBQKysvLUalUREVF0dzcTGdnJ4cOHaKxsZGEhATCw8OpqakhKCgIp9PJ8ePHaWxsxO12o9Vq6e3t\n9dcxBEhISKC9vZ2enh5/S7zs7Gy0Wi3JyckoFAruv/9+YmNjOXLkCBqNBrvdzvz581Eqlbd4Zq4d\nt0dEIR8SWe8d6uFLP7uA2wOJEQpq21xDDjwR0mNUlDU6GVGs2u/l89k5+JN47s7Q+W3OWtfIp5Zh\n2cHDy9IoPaDyDvNGekd2SBG5mLwy7Dn4ROMYHsTMJBWP3hXA954MQSaTYrEkbh9umkC89wYF4oeS\nQJwsSAJxHJAE4u1Fc3MzFosFjUZDeXk5giAQERFBZ2cnAwMD7N+/n6qqKuLj40lOTubs2bMoFApM\nJhNHjx6lqqoKh8NBQECAv25hYKCvxVpERASCIHDhwgU8Hg9Go5GlS5ei0WhITExEp9ORlpbGypUr\naWxspLq62p+4kpKSciun5bpwukSefLOJvxzvIz5Uwa6XY5hl1pDynIXzzS7/fkqFiGtYxRiVHJz+\n5yJyGQTqZHT1+b4fJoOcyl+aCdb71ou9XhF5bvXIX+4Xg6JvWVk2XBSKvjI1g/s45GDV+ISkzAsq\nD6jEMT2LjyzQsfMH0Tc2MRISnxM3TSCuqroxI3tSpOvdJEEKspG4Y2hubqa6uhqdTkddXR1ut5uI\niAh6e3uxWq3s3buXs2fPEhMTw4oVK6ioqODMmTPEx8dTXFzMnj17sNlsaDQa5HI5vb29BAQEoFQq\n0ev1hIeHU1dXh91uR6VSMXfuXJKTk1GpVEyZMgWNRsMDDzyAyWTi2LFjAIiiyNy5c1Grr95L+Hbi\nrT1Wdh7ziePaNjfP/qKZk28mjvAmAoTo5bR0DynEpAgVX5inZ/OuTlQKGW8/H0lmopp/39aBKIp8\nf22oXxxWNDh554PeoezkQU+jcNHt6F9lHhbE6JVd9EqKvoLYAypAAIcMPAIywBveP+IYE8MULJ2l\n5ecbQkds//CAi+d/YMM2IPKDf9Hw9aelDikSEhISg0gCUWLC09LSwvnz5zEYDDQ0NNDf309kZCR2\nux23282+ffsoKSkhLCyMpUuXcuHCBYqKioiLi6Onp4f33nvP3wFFo9HQ39+PTqdDr9ejUqmIjo6m\npaWFc+fOIZfLiY+P56677kImkzFlyhTUajWzZ89m7ty5tLS0cODAAeRyOeHh4aSlpd3q6flMtPd6\nRj7v8T3/6T+FseaNJmwOkdlmNe9+PYJHX2+kscNNQriS/B/HEWpQojgfSlGhwIUTAl9aAtu/E+O3\n9c62AV59r40LfS5ftZpLk1lGOScEn0gUh+2DADa1r36iXASPANVBeEXB1zLPeLHOYYeW7f8RyZzZ\nckRR5F9/aOOP7zuJjZRRWePBdrGr3//36gAOp8gLX9WO4yxKSNyGSM4/iWtEWmIeB6Ql5lvDoDAM\nCgqivLwcq9VKREQEXq8XnU7H+++/T2lpKYGBgZjNZpxOJzU1NYSEhOByuTh06BBtbW0IgoBKpfK3\nuTMajSgUCkJDfR6nhoYGwLfMvGjRIgIDAwkJCSExMZGAgAAeeOABdDodhYWFDAwM4PV6ycnJQaud\nuGKjotHJvO/UYu331ZPZ/EwYLz7iqwHY2euhxeomJUqFUjE6ju/734cf/3jo+Ztvwgsv+Jatlz3d\nzeGWTlCII2MJBxm+NDyYkDI8C3r4r+vSwIDSN9am9QnGwdcFD4AIq3N07N7ua7Py250OnnlxZAu/\n4SgV0HDYSHjonVGPUmJicdOWmHPP35iRvcnS9W6SIHkQJSYcra2tVFVVERQURHt7O2VlZYSHhxMZ\nGYlGo+HDDz/k7NmzqFQq0tLSMBqNlJaW+rug7N+/35+AMugx9Hg8GAwGNBoNBoOBoKAgqqurcTgc\naDQapk+fzuzZs+nv72fevHn+4tapqalYrVZOnDiBIAiEh4eTnp4KyXsCAAAgAElEQVR+q6fohkmN\nUVH8s0TyPu3HHKninhlDSSUhBjkhhsuX57m4uu7nyBF47mse4r7YQOeA21eG5kr5IYPXHq8Atoun\nKLvc1/1EeXHQJYBd4dvXIQOdB2QOImO8eEXIiFfzzGMqvvLU0HFW1Y70il6Kyw1tnSLhoVfcTUJi\nYiNpO4lrRBKIEhOGQWEYEhJCd3c3paWlhIWFERsbi0qlIi8vj3PnzuF2u4mKiiIhIYHS0lIqKiqY\nPn06J0+eJD8/H6fTiUajwe12Y7PZCAgIQKvVEhAQQGhoKM3NzZSVlaFSqUhISGDJkiW43W7Cw8OJ\niIggODiYJ598ErlczpkzZ2hvb0cQBLKzswkICLjV0zRuJIQr+Wru9ReKXrAA8vKGnt91F/zntm6f\nOITR4nCw6LVX8BXLVlxMMulVglPhGxdl0KL0LR/LRJ849Arglvn+l3tBK9Lc4TPe0e3gnZ+pRvya\n7OkKYGSLPZ0GbL5650SEyEhNkryHEhISEiAtMY8L0hLz50tbWxuVlZWYTCbq6+uprq4mODiY4OBg\nBEHgyJEjVFRU0NXVhclkIj09nbKyMmpra5k5cyZNTU3s37+fgYEBVCqfaHA4HCiVSgICAjAYDOj1\nejweD3V1dSgUCoxGI/PmzSMuLg5RFJk3bx7d3d2sXLmS6OhobDYbBQUFeDweIiIimDZt2i2epdsH\ntxteew0KCmDRIvjmN0UWrG/lZGPf6J1FoEPrE4DNGgh1+ESgR/CJQwRfpnKzDoLtIBd58G4tf39f\nQAwa8NVHHJ7k4sZnC4HsGXKO7dQjv5hYY3eIpC7vpv6Cb//gQIGueqWvjI4IOOUU7tOQlSmJRImb\nz01bYl5uuTEjH5ul690kQRKI44AkED8fhgvD5uZmzp07h9Fo9McZFhYWcu7cOdra2tDr9cyePZuq\nqirKysrIyMhAJpPxl7/8hZ6eHn/tQafTiUKhQK1WYzQa0ev16HQ6zp8/7y9tk5qaytKlS2lvbycn\nJwePx8OUKVO46667EASBiooK6uvrUSgUzJ49218CR2Jspizrpqqn3xcXKGNkJ5Q+JdhU0K6FJt88\nxsWL9Gv76XS6fN7BTg245RfjDQVe/q6X1/5/FwQNgMYzRuFsfJ5F4L57FCTGCKiUMorOepiSIOPg\nUQ+V5/EJT+9IMXhwt4q750/c7jYSE5ebJhCX3aBA3CcJxMmCJBDHAUkgji/t7e1UVFRgMpno7Oyk\npKSEgIAAvzevpKSEM2fO0NLSgk6nY9q0abS2tlJSUkJcXBxRUVFs27aN1tZWBEFALpfjdDoRBAG1\nWk1QUBABAQHodDpaWlro6OhAq9USFRXFokWLUKlUhIaGkp6ejs1m47777iMoKAiXy8WxY8dwOByE\nh4czc+bMWz1VtxVer0hHB5hMIJMJeL0iTzztYfunnReLXYu+eoUuma9bishFgSb6BF1tELjkREaJ\nNPc6fe3yAjy+JWWvAE45MocCvUpOz4B3SCBeWjgbfJ5EZGPHOtovis1LWLFExgdbVSjGSLyRkPi8\nuWkC8Z7qq+94JfYnSde7SYIkEMcBSSCODx0dHZw7dw6TyURfXx8nT55Eq9WSlOQ7IVVWVlJYWEhb\nWxsqlcqfmVxSUoLRaCQtLY1du3ZRW1uL1+tFoVDgdDqRyWT+LijBwcGoVCocDgf19fUIgoDJZGL6\n9OlkZWXR2dnJypUrqaurY8GCBUyfPh2AmpoaKisrUSqVzJo1i6Cg64/Nu5OprRXJXQWVlZCaCnv3\nQEGRyONPeSCuG3TuoZ1dwkjP3cWvjuCUM8Ok53StA4KcFz2Bw/b1Analr/6hSw4h/aB1D/VoHo4H\nRjaEHoZLBn1D8Ym/+YWSyAiBZYtkkjiUuGXcNIG49AYFYr4kECcLUpKKxC1nuDDU6/Xk5+ejVCqZ\nPn06oihSXV3NsWPHsFqtAMTHxxMQEEBJSYk/OeTo0aPk5eXhdDpRKpV4vV7cbjcqlQq1Wk14eDgq\nlQqFQoHFYsHhcGA0GomPj+fee++ltbWViIgI0tLSsNlsfPnLX0atVuP1ejl69Cj9/f2Eh4cza9as\nWzxbtyff+75PHAJUVMD3fwCL77k42KcEjdun1bwXaxrCJdmUAqLKy+muHggaLHODL2HF6fX9LwAK\nr29pWAR9sJc+1zATw+1d7Ps8cj3bx4LZco4e9D3+5vNyvvxF6TQoISEhcSnSmVHiltHZ2cm5c+cI\nCQkhJCSEgwcPIooiGRkZKBQKamtrOXbsGJ2dnXi9XgwGAwkJCZw6dYr+/n5mzJhBU1MTb7/9Njab\nDYVCgUwmw+l0+pNRIiMj0ev1CIJAe3s7ra2tGAwGoqOjmT9/PuHh4djtdh577DEqKyvJzs4mMTER\ngKamJk6fPo1arSY7O5uQkJBbOFu3J7/9g5cXXvbQ0wPIZb4sZKCvD77wgMBr/wnnuwSfx2+QS4Th\nCOQwonr2oEgcdDgqRAhwotJ76HN6R8cfCox87WBMokPGFx+XkzNDwb/9k5r6Rt9BJMRJCSkSkwxR\n8pJLXBvS2VHiptPZ2cmRI0dobW0lLCyMI0eOkJ+fT1paGpmZmTQ3N7Nr1y7y8vJob29HLpcza9Ys\nenp6OHDgAAkJCaSkpPCHP/yBXbt24XK5UCqVuN1uFAoFKpUKk8lEamoqgYGBOBwOKisr6ezsJDY2\nljlz5vD000+jVquZN28eqampOJ1OvvKVr5CYmIgoipw4cYJPP/2UsLAw7rnnHkkcjkFjk8hXv+ah\nowNcLnwZxYhotfCNfwWTSaDgEwWbX9agHh7y5x5c+h3jQuVlyMMIPnF3yVlKqffg1I0sVzMkOoUR\n/9GvAKua5Eg1f/q5nhe+qkEmE0iIk0niUGJyIt7gz2VYs2aN/2b/pZdeGjW+YcMGQkJCSElJYceO\nHdc8vn37dmQy2Zg/xcXFV3yrl7NpsVjIzc1FJpORkpLCO++8c0U7w7FYLGRnZ485drU5mGhIHkSJ\nm0ZXVxdlZWUEBwcTHR1Nfn4+/f39ZGRkEBgYSF1dHUVFRTQ3N+NyuXC73cycOZOSkhLy8vKYNm0a\n8fHx7Nq1y5+AMhhPqNPpkMvlaDQaYmJikMvluFwu6uvrsdlsBAcHEx8fz8qVK+nu7kalUnHffffR\n1tbGypUrCQ8PB3wJMqdOnQIgOzubsLCwWzlltzVtbb6SNsPZvBkeewTMZoH//LmH//m9l+hIGf/4\nRTBPf6eXpuaLCSeyYckl/sLYgOPiKUnuGfvsJILLIw7FHYr47HWrwOgcoTmNOoG4CBWmEIFfbh6d\nlCIhMSn5HDyIc+bMQSaTsX37drq6uli3bh0AmzZtAnxCbd++fWzfvp3CwkLWrFlDYWEhs2fPvup4\nbm4uecMLqwKFhYVs2rTpiiE/V7OZkpJCUVERBQUFbNiwAbPZzPLly6/4Pq1WKxs2bPDFcl7nHExE\npCQVGHU389hjjwG+O4UdO3aQlZVFUVER69evx2g0jnq9lKRyZYYLw8DAQPbv34/VaiU9PZ3Q0FBq\namo4ffo0dXV1iKKIzWZj2rRpWCwWmpubMZvNmEwmdu/eTU1NDV6vr7Kyy+VCrVb7Yw4TEhLQarUM\nDAzQ1dVFS0sLBoOBiIgIZs2aRVpaGl1dXXzhC1+gtLSUGTNmkJOT4z/O4uJiGhoaiIyMZM6cOWOe\nBCY7m14X+dG/g1YLv/qFyE9/6eV4ge+znzNH4FCeHJVKYPeHXh54bKhzyYyZXrqU/TQ0e31JJ25h\nZA1DBHBeXKIWGMp4HvwTXGlZ2oOv7Z7aC3qfSAw3ymg6ZvTXQJSQuN25aUkqi2pvzMjBhBHHabFY\nSElJwWKx+MNzduzYwbp16+js7ARAJpORl5fHsmXLAFi7di0hISFs2bLlmsYvJTc3l+eff55HH330\nsod5OZvr168nOzsbq9XqL1F2td8HsHHjRt544w3AJwYLCgquaw4mIpPeg7h582ZSUlJ49NFH6e7u\nZvny5X6BuHbtWk6ePAn4vEnr1q1j69att/JwJxRWq5WysjKMRiNms5n9+/fT1tbG1KlTyczMpLa2\nlr1791JZWYlKpcLlchETE0NXVxdHjx4lISGBrKwsTp48yZ///GfcbjdyuRyPx4MgCAQFBWG32wkN\nDSUsLAy73U5PTw+1tb4TYFxcnD8JpaGhgalTp+L1emlsbGTt2rXo9XoAenp6OHHiBC6Xi5ycHCIi\nIm7ltN22/PVvIi+/4ns8MADP/JNAjUXGX3eDKIp86YsyVCqfIDtXIYLGBUYHiCIlXRfjBeX4up4g\noBWVDHQLCHoX4vBs5UGvYJ8G1B5fgotsdLKJXzTKICLOS0uD3FczUYAXvq6UxKGExFiMswa1Wq3M\nmTPHL4wAjEajP6mwqKgIwC/UwCfwXn/99Wsav5SioiK6urquKA6vZHPDhg2sWbNmRP3awaYLV+KV\nV17h+eefZ8uWLaM8mlebg4nKpBaIVquVTZs2+RW+0Wj0C8KioqIRcWdGo3HUh0JibAbb4AUFBZGS\nksL+/ftpbm5mypQpzJo1i9raWvLz8zl9+jSBgYF4PB6USiXBwcGUlJQQHx9PVlYWFouFnTt3Yrfb\nkcvlCIKA0+kkPDyc3t5eNBoNycnJyOVyenp6aGxspK+vj4iICMLDw8nNzfVnMz/22GOcOXOGu+++\nm7S0NP+xnj17lsrKSiIjI5k7d67kNbwMf/2byONrGUr8AOx28HoF1v/z6DmbmiFCmG1I012aTKIU\nCQpzUfqHIP7yoZvNv3TQ0iEO7eeW+drp9ahB7wK9w+chHG5jGN9Yr+Anr4v09wvMmSnw3D9N6lOb\nhMTlGecl5qysrBHeNIC33nqLOXPmAD7v2qVlwZKSkvzX3auNX8q6dev8nrzLcSWbs2fP5r333vNv\nLyoqYtu2bbz77rtXtGk0Gv3Ojku52hxMVCb1WfTkyZOYzWZ27NhBUFAQRUVFPP744yQlJY35AQsJ\nCaG4uFgqdXIZuru7OXv2LIGBgaSnp7N//34++ugjkpOTuffee6mtreWTTz6hoKAAk8mETCajv7+f\nsLAwSktLiYuLIysri6amJn73u9/R29sL4C90bTKZcDqd2O12MjIy0Gq1dHR0YLVa/cvJU6dOJSMj\ng+zsbOrr63n44Yepr6+ns7OTZ555BoXC95G32+0cPnyY/v5+cnJyiI6OvpVTd8vweET+4zU4egwW\nzIdXXmZMz9u//2RYvOFFkfjgAxAVNfbFRlB5x8xBGc6FNpFvb7Kx828+tScIILpl4BFIi1fwyzeU\nBOoFjhaK/OsrgMfl8yaKAuGBcqwON04XPLtWzctf1/C1p0Va20SSEgSpnqGExOX4HFexrVYr69at\nY+fOnRQWFgK+pMSxkvwGvWtXGx/OYMLKcM/gWFyrzeDgYLq7u8nNzb2iR/J6GGsOJiqTWiBaLBaK\niorIzc0lMDCQ7Oxs5syZQ1VV1YSOG7jZ9PT0cObMGQIDA5k2bRr5+fl89NFHmM1mHnroIaqrqzl8\n+DDHjx8nJCQElUpFS0sLSUlJFBcX4/F4yMnJoa2tja1bt9LW1ua37XA4MBgMBAYG0t/fT2JiIqGh\nofT29tLU1ERDQwPguzuMjIzk3nvvpb29HZPJREZGBlVVVdxzzz3Exsb6bZ4/f55PP/2UiIgI7rnn\nHmSyyZvN+h+vwQ9e9T3+4EOQyeC7r4zeT6Me+fzBB2Hndt/j06Ve/vV7Dnp64bkvK9j1oYeiMx7U\nSgGH65Kr0SVPT53xLTcDiKLAc19W8KvXtCP2yZ6jpPiMyP/5I2BXYgqBon+oCQkWcDhFggJ9fz9j\noIAxUBKGEhK3gry8PNasWUNoaCiFhYV+R0pISMiY19NBB8zVxofz2muv8fzzz4/Ytn37dtauXQtA\ncnIylZWV12zz1KlTnD9/ng0bNvDcc8+xZcuWMe1dK5ebg4nKpBaIZrMZs9nsj0UwGo1YLBZqamoI\nCQkZdbchicaR9PT0UFpaisFgIDMzk3379rFnzx6SkpJ45JFHqKmp4ZNPPuHEiRP+vsfV1dWkpaX5\nl3bnzZtHe3u7PwHF4/ElNrhcLhQKBWazmebmZvR6vX9p+MKFC7S3t9Pd3U10dDQmk4lly5YREBCA\nw+HgoYceoqysDLVazZe+9CX/srHH4+HgwYO0t7czb9484uLibtnc3S4cPzHy+bHjY+/35htw/0PQ\n0QEzZ8L/eReOFXr59R9dbH/fQ1+/b78N3xlWfkZQMjtHpPisB9FzMSlFNqQQzXEy0qMVVFuGklni\nY8YWeO/+l5LVuXLa2kUevk9OVKRvP61GEoQSEtfF55DFPCiqNm7cyGuvvTZizGw2j7qWWiwWv4fv\nauPDt506dcov3gZ5/PHHsVh8/aWvxWZ1dTWiKGI2m0lMTCQxMZHXX3+dNWvWsGXLljHt3egcTFQm\nvUC8lME7jOTk5DEF4eXuCF599VX/46VLl7J06dJxOcbbkd7eXkpKSggMDGT27Nns27ePDz/8kNjY\nWB5//HHq6urIz8/n1KlT/h7HZ86c8ccLVlRUkJOTQ29vLx9//DFnz57F4XD4E1A8Hg9ms5n29nZ6\nenrIzMzEYDBQV1dHT08PFy5cIDAwkIyMDMxmM4sXL6a+vp4FCxbQ09NDTU0NDzzwwIgvd319PceO\nHSMiIoJHHnkEuXys/myTj7sWwO5/DD1feNfY+82bJ1BfI9LaCjExcK5KZMVaOw6/HhR9mccyRmQe\nW6oExMHSNR7ZxYQTCNDC7reMfPe7Ijjtvmxmpxy1Z+xyNIIg8NiD0t9M4s4hPz+f/Pz8m/+Lr3eJ\nufso9By94i5r165l8+bNfPvb3x41lpWVBcDHH3/sLyOzd+9ecnNzr2l8kO3bt/tX+y5leHLI1Wzm\n5eXx+uuvU1VV5d+/o6OD4ODgy9q7Fq40BxOVSS8Qg4KC6O7u9mccJScn++8qhjNYWPNyDBeIdyqD\nwtBgMJCTk8OBAwf44IMPiI2N5YknnqC+vp79+/dTVlaG1+vFbDZz9OhRwsPD0Wq1nD9/nuzsbJxO\nJ8ePH+f48eM4nU7cbrc/HjExMRG73U5rayvJycmEhobS3t5OS0sLFy5cwOPxMGXKFEJDQ7nvvvuw\n2WxoNBoefPBBzp49S05Ojr9/Mviya48cOUJjYyNz5879TF/8O5mXNoJcPhSD+OIVzm1arUBCgu/x\noRPui+LwYvVcmTC69rUA3b3DnosC2BQgg/4+gYZGkWqLANahJeWKCskjKDE5uNSR8MMf/vDm/OLr\nFYiBC3w/gzT+bMTw9u2+WJOkpKRRiZwrVqwAYP369WzcuJFt27ZRWFjIjh07/JnG1zIOPoF3uQLV\nY3E5m0lJSWzYsIGXXnqJtWvXYrFYeOmll9iwYcM1276Ua5mDicikFogA27Zt47XXXiMnJ4eCggK2\nbdvmH3vnnXd44403MJvNFBQUXFe19TuJS4Xh4cOH+dnPfkZUVBRf/OIXaWpqYu/evdTU1DAwMEBK\nSgoHDx6ku7sbg8FAc3MzmZmZ6HQ6Tp06xeHDh7HZbLgvZj24XC5CQkKIi4ujsbGR2NhYMjMzcTqd\nVFdX09nZSVdXF7GxsQQHB7No0SKioqKw2+2sWLGChoYG2traePLJJ9FoNP7jbmlp4eDBgwQHB/Po\no4/6E1QkhpDJBDZ+Z+wxl0tEqRRGPN77iZuOLpH4WPAJw4uZx4N10YZ3yRPGuhYN9WI+XOBh9b1K\nThUP7XXfKkkgSkhMJKqrqwFfF5HhCILgDxnasmULzz33HHPmzMFkMrF9+/YRq3FXGwefN/Dll1++\n5uO6ks29e/eyceNGNm/ejNlsZsOGDde8LCwIwqhqF9cyBxMRqVD2OHCnFsru6+vj9OnT6PV6pk2b\nxpEjRzh69ChhYWEsX76c9vZ2iouLaWpqoquri8zMTPbv348oiuh0OlpbW5k6dSrx8fEUFxdz4MAB\nrFYrLpcL8AlDlUpFRkYGlZWV6PV6kpOTCQ4OpqKigp6eHpqamjAYDJjNZmJiYliyZAmdnZ1kZ2cT\nEBCAxWJh0aJFJCUljTj2goICqqqqmDdv3pihBBKXx+0Weep5B9ve9xAZJpCaLOOTo14CDF76Bnyf\n89AQgfZ2cWQbvEu+AjJRxoOrZLy/34VWA9ERApWWofGURIGKgwH86i2R0rOwKlfgoQclgSgxOblp\nhbLnNtyYkROxd+T1TmI0kkAcB+40gdjf38+nn36KXq9n+vTpFBQUcODAAYKCgli1ahU9PT0UFhbS\n0dFBfX09OTk5HDp0iO7ubkJCQmhpaSExMZGMjAzKysr8PZXtdjuAP85wzpw51NXV4XQ6mTJlCuHh\n4Vy4cIHOzk7/cnJycjIGg4FVq1ahVCoxGAzMnDmTqqoqoqOjWbx48Ygs5K6uLvbv309AQADLli1D\nqZRarF0v7/zOxfpvO4c2DH60FZeUrhmjdjWDScki4JaDU0bmFCX5eQJv/dHFS/8xZDckCDrOGD6P\ntyAhMeG4aQIxp/HGjBTE3FHXO4nLI625Sfjp7++nuLgYvV7P/PnzKS4u5qc//Sk6nY41a9bgcDg4\ncOAAvb29VFZWkpmZSXNzM++//74/IUSpVLJ69WoaGxt59913qa+vx+Vy4XK5kMvl2Gw2MjIycLlc\nlJeXExcXh9lsxm63U15eTldXFx0dHcTExBAaGsq8efNISkrC4XAwd+5c+vr6qKmpYfny5aM6npw+\nfZrTp08zf/58UlJSbsUU3hF0Wsc6+Y/h2RsUgsPb4Q1PUpF5wCnw6WmB3/xOYO3DSt74lYuOLp/9\nDV9SjfehS0hIXA1J20lcI5IHcRyY6B5Em83GqVOnCAgIIDMzk5KSEvLy8lCpVKxatQq5XM7Ro0fp\n7++nrKyMlJQUrFar38soiiKBgYGkpKQgCAK7d++mvLwct9uNzWZDpVLR399PdHQ0MTExnDt3juDg\nYFJTUzEajZw5c4a+vj6amprQ6/WYzWYiIiJYunQpdrudtLQ0QkNDqaioYNq0aaOq0/f397Nnzx5U\nKhW5ubmo1erLvFOJa6GmzkvOqgHaO8F/NRF9SSgKtRe3BwxKOb2tcl/vYwWjE1QGsarAqeTnbwp8\n418E6hq9/GOfm9goGQ+skO5PJSQGuWkexDlNN2akMHpCX+8krh1JII4DE1UgiqLIsWPH0Gq1ZGZm\nUl5ezkcffYQoiqxatQq9Xu9PKCkpKSEmJobg4GA++ugjFAoFer0ejUZDVFQU8fHx7N69m6NHj+J2\nu3E4HP7MZIPBwNy5c/n000+Ry+WkpqYSGRlJTU0NbW1tNDc3+7OT9Xo9y5Ytw2g0otPpmDp1Km1t\nbQiCwNKlSzEYRi5JlpeXc/z4cebPnz+ihZ7E9SOKIuWVIp+e9vLCKx4utHhB5xnyFHoFdCoB24Do\nK1kzoPQJR5kXTPbRBj0CdGiZPUsgP08gUCpiLSFxWSSBKHG7IQnEcWCiCkTwiYKqqir27NmDw+Fg\n1apVmEwmPvnkEwYGBigrKyMwMJAZM2bwpz/9CYfDQWRkJAqFgqCgIObPn8/u3bvJy8vD6XRis9kQ\nBMEvEJcuXcr58+exWq3ExcWRkpJCd3c3tbW1WK1W2traiImJISwsjKysLFJTUwHIyMhAqVRisViY\nO3fuKPHndDrZs2cPHo+HVatWodVqx3p7Epfh6EkP3/ieE9uAyPe+qWLNgzKefN7Jtvcv9tMbjCUc\nnoTixScMB3FdFImIEDYwwr7glPOf31NxzyI5GRmgVkviUELiStw0gZh1gwKxSBKIkwVJII4DE1Ug\niqLIW2+9RV9fH8uXLycuLo78/Hx6e3uprq5GoVCwZMkS3n77baxWK1OmTMHj8aDRaMjNzeXIkSNs\n376dgYEBBgYGcLvdiKKIw+EgJycHwN/2aPr06Wg0GkpKSvzLyTqdzl/TcMmSJcjlcqKiooiMjKSh\noYHg4GCWLFkyKtGkurqa/Px85s6dy7Rp027F1E1oBgZEYrNsdHYBiAgyX4u9MasxDNd1lwpEtwD9\nKmQyeOIZN+994MTrhZV3K/jlTzQkJ0uiUELiWrlpAnH2hRszcipqQl7vJK4fSSCOAxNVIHq9XoqK\nikhJSWH//v10dnbS1NSEy+Xi/vvvZ8uWLTQ1NZGenu5/f8uXL6epqYlf//rXdHV14XK56O/vR6VS\n0dvbi9lsJj09nZMnT6JQKJg2bRqhoaFYLBaam5tpbW3F6XSSnp5OQEAAixYtIjw8HKPRSGxsLE6n\nk7a2NhYuXDiqFZ7X6+WDDz6gv7+f1atXo9frb8W0TXgamrzEZQ16/K5cqgYYlpU8MtAwOUrBt76u\nYOUKgeRkgfZOL3Y7xEZP3t7WEhKflZsmEGfdoEAslgTiZEESiOPARBWIoijyt7/9jba2NqxWK1ar\nldWrV/PnP/+ZsrIyf0yg3W4nJycHg8HAL37xC6qqqhAEgb6+PpRKJb29vZhMJpYuXUphYSE2m434\n+HjS0tJoa2ujpqaGrq4u2traiIuLIzw8nJkzZzJlyhR0Oh3x8fHodDqqq6sxm83Mnz9/VCHSpqYm\nPvzwQ7KysiZ8A/RbjdcrMu8+Oyc/9XJNAhHAA4gytGp4/p8VLLtbzv0rpdZ3EhLjhSQQJW43JIE4\nDkxUgej1evnv//5v2traWLFiBfn5+Rw5coSIiAhiY2Ox2WyYzWZmzpzJli1bOHbsGEqlkr6+PsCX\n/axWq1m5ciX19fXU1dUREhLCrFmzkMlklJaW0tvbS0NDw4jl5IULF6LT6YiLiyMwMJDu7m6cTieL\nFy/GZDKNOEZRFNm3bx+tra3cf//9Y/bhlBjJoUMixZ/6+irPnj32Mm9rm5foVBcehRsUot8xOC1V\nYPUyOf+5xe1vjoIIJqPAT/9dxf0rFJhCpKVjCYnx5qYJxMzmGzPyaeSEvN5JXD+SQBwHJrJA3LNn\nD+fPn2f37t3+jik9PT0EBQWxYsUKtm/fzq5du1CpVPT19eIOWWQAAByISURBVOFyufB6vbhcLpYs\nWYIoilRUVACQnZ2NwWCgpqaGpqYmWlpacDqdpKWlERAQwMKFC4mKiiI8PJzQ0FAEQ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"prompt_number": 38, "text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "* Clearly the regression between GDX and GLD changes over time.\n", "* But it does so gradually.\n", "* Can we build a model that allows for gradual changes in the coefficients?\n", "* YES!" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "Improved model\n", "==============\n", "\n", "* Assumes that intercept and slope follow a **random walk**.\n", "* At each time-point, the coefficients can move a step from their previous values.\n", "* This allows the coefficients to track the regression as it changes over time.\n", "\n", "$$ \\alpha_t \\sim \\mathcal{N}(\\alpha_{t-1}, \\sigma_\\alpha^2) $$\n", "$$ \\beta_t \\sim \\mathcal{N}(\\beta_{t-1}, \\sigma_\\beta^2) $$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pymc.distributions.timeseries import *\n", "from theano.tensor import repeat" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "skip" } }, "outputs": [], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## $$\\text{Priors for }\\sigma_{\\alpha}\\text{ and }\\sigma_{\\beta}$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "model_randomwalk = pm.Model()\n", "with model_randomwalk:\n", " # std of random walk, best sampled in log space.\n", " sigma_alpha, log_sigma_alpha = model_randomwalk.TransformedVar(\n", " 'sigma_alpha', \n", " pm.Exponential.dist(1./.02, testval = .1), \n", " pm.logtransform\n", " )\n", " sigma_beta, log_sigma_beta = model_randomwalk.TransformedVar(\n", " 'sigma_beta', \n", " pm.Exponential.dist(1./.02, testval = .1),\n", " pm.logtransform\n", " )" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## Define regression coefficients to follow a random walk." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# To make the model simpler, we will apply the same coefficient for 50 data points at a time\n", "subsample_alpha = 50\n", "subsample_beta = 50\n", "\n", "with model_randomwalk:\n", " alpha = GaussianRandomWalk('alpha', sigma_alpha**-2, \n", " shape=len(prices) / subsample_alpha)\n", " beta = GaussianRandomWalk('beta', sigma_beta**-2, \n", " shape=len(prices) / subsample_beta)\n", " \n", " # Make coefficients have the same length as prices\n", " alpha_r = repeat(alpha, subsample_alpha)\n", " beta_r = repeat(beta, subsample_beta) " ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "## Define regression and likelihood" ] }, { "cell_type": "code", "collapsed": false, "input": [ "with model_randomwalk:\n", " # Define regression\n", " regression = alpha_r + beta_r * prices.GDX.values\n", " \n", " # Assume prices are Normally distributed, the mean comes from the regression.\n", " sd = pm.Uniform('sd', 0, 20)\n", " likelihood = pm.Normal('y', \n", " mu=regression, \n", " sd=sd, \n", " observed=prices.GLD.values)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "Inference!\n", "==========" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy import optimize\n", "with model_randomwalk:\n", " # First optimize random walk\n", " start = pm.find_MAP(vars=[alpha, beta], fmin=optimize.fmin_l_bfgs_b)\n", " \n", " # Sample\n", " step = pm.NUTS(scaling=start)\n", " trace_rw = pm.sample(2000, step, start=start, progressbar=False)" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "# **intercept** changes over time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = plt.subplot(111, xlabel='time', ylabel='alpha', title='Change of alpha over time.')\n", "ppl.plot(ax, trace_rw[-1000:][alpha].T, 'r', alpha=.05);\n", "ax.set_xticklabels([str(p.date()) for p in prices[::len(prices)//5].index]);\n", "fig.savefig('rwalk_alpha.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 67 }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CMEq18ILBiGdDXOMFawADw6No0sVXtVh/Vb+oue/27X4BUA99QPgk8mYx2AJM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WPiQTJTHVNEP8PF/czw2DFWhgVn4wJCnL13C32YLFG0edFZDfSjMj1O4fE5G22zGGdn3e2UOAfP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\n4cuX5FNxQ0QAAKaYbAkKfspNInWwGkxoWqLo8cBrdTU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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('rwalk_alpha.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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fvDg00KQo9vaGUSnGAmI8M/LhYzJaYv45smNgY4/fwAfZtVcM5dxJmc7oZxqy\nvb3eIDo6a6DjOeOopFN39tSdXmNPKvhWi8ZCCWBJzfi3dDwM9LgHv7NNgaM7fM5ar9Q3CZSS98iA\nx8F9xyCbjznvNjfnnbDk1fnzQ5ABKEPH1Z6JB6i1jnI0iKgm6WJAr/WOgabBRwJC+OIIoXU4185U\nmm2DdffxcT8P4UvumI/TYOB2/XppdHpqAGgZXbzYPQojIzgPH3bCurMzfP7TbDbcU8KGjncE2ArK\n5EmI8nB4ND+jgFxoyJJqAwgmoZVxrjiwgUXpozhQPoeHXf9Jp9hQ4fXRHhem2miXMlSMGW0xAEsP\n2ylFR01QVvTfSskRF4MKt70WQcqN1pzK4Xy3B0Vp48F5GN7JZD7NAG9SocKHBMWpPB1ydz8BHa7d\ncH9pJ/3g2WwuLuU8jMrly0Mw76hoArYEb8ia5dApDMCaz7U8GAT5P9dv1Qwan21QSO8xV/M4R+Zy\n/lteMU7wjgjDbDZM6RhMeJwz5WGAlLKGjORcMSAoZfhsLt8/6588HslPr1pz5IQ5vb4+bJvnU869\nWn98jMfWkTjLqc/3vOAetcgdugH+lNJvi5DRSsui5dHp3tyANCPUjA+fDV6QJ66NTgKwZ+TIDtPx\n8fzqNeStpcFOTQ0ALSMmIh4Ik4hq/RdfHEZPShkqMCscG8QMT1tpco1UuPxuMGXvx4/TII2E8XMu\nv+aV2dhmusieDflup0qyH04PPnw45KeNAG2wp5T/0TcUT40njrigtAwgMrXl6Ia9efiLAnQqzkDW\nqY5U0OkZOqSdXry9ctqaETMbdPMrDanBBH2rKd+9vf4xECzZtXHDWwaUufbLbSQi5/OcVsio4xiv\n0gh6HMxvG7ZME1tGTRnxtGFNuc57IleOluQczFRLAhfPawMlR4iyLb5GAgnPB4j+bW72tYoGcxl5\n4hzrADs2rhujKDhXZyYoM0/MxxoYMnjIPuZ41O43dv/87LaMFRknUEc3GOj4WoBzA07mlGXAUWiO\nMfA2iGJO2Tl1f4h6MQfgqWvGGp2aGgBaRpNJt8GWH+fgkHAqcCvYGnCxAc375HcbCyjPq/1X8/Jt\nfA0EMF5ub4KsBEP0MQEBk9yPl0ge2WCQ289rmG9jCjRrZDJlATktYWVkL8x8yXbAFytL7mMgxL3c\nDo+FP2ef9ve7dIwVIcfznjKFh55RxDSSBiAGwxi32p5VOR5jvDGoKWVoKDz+CRJsGGvjbD4lz5x+\n9HkGWRnrI9f8AAAgAElEQVQtqBnU2jyqjU9tDi4jj5Xf/TkjSTX+8W6jaPnjeganHn8clbwmY+jU\nK0X4AN5adONxkfud+mZsbEoZB0o1PWMQ6PNNBrEJcvns8Xd0Z4xqjpKvOSbbtI+5PuYU8M5nNoNt\ndCpqAGgZXbrURXmSahPFymfR5HySNKb0a5SGqZRhes2K3/1dtR8JLnyf9A7H+JWT3iDGSsYrrFz/\nlH1yXUBN0Vvh1dpkT9e1QQaFpcwbsUXGzr8dHw8jVEQNXE9USl+4nEvtfe7jkLcE8QnkXc8zJntj\noMapEfOiJiMZXVrWv2X/Pcm5OBbJ+DZQjm/u7p1z5qTgsJTT8z/nUA1gJlgfA1nL2rQIONWcFD67\nNrB2/rL252+pD1NX2tlrdGJqAGgZ4S1/E8kGKL3uBCy1qJBXJOQ1XRDKRFsEWGqU9RUmgIxTGrV2\n53sWpNba9CQpIwJjinKZYqqBCb9c00LY/Pz5+dqmZf22x+/75udF/a0pYXvYf0r+N3qyxBwbk1/L\nk3UE5y4CRjVZO+1vy4BM6gj/922T07E562hqo1NRA0DfFqpFa1xvssgTs/djD8mUXp2XcOZ5NS8m\nyRGc9MIMwKg5+aZ7zQlWaoqnxp9MIWXdVgLSUrrPFOguKv6sRdcWjWutJuc0Hnyj55ecDkryHHfa\nrpT6vK6BkbHjat+/qbricdO3EbR9S6gBoGW0s1PK3bv1aES+17zhRemUjCaUMl/Q66XfBigYRO+p\nUaNapCBTJaXMG9gMfbtfmYYgTZMvn1urRyJ1taoXWFOECbDGwNkYYPG1XDBaK2r09bm3o2TUGmVB\nsFd1+NlFyddUdBnhS6/XfK09NTrJ6cJFYCmjfeZVjc+ca2DV6PmjMZ32TaSaY1bKfI1Vo2eaGgBa\nRufPl3Lt2njedswwMKGo2cBLd/GhU0AYJy9jd8E1S6ttcGue0BhIGcs9j6VGkhxBytUUjmaM1Wqc\nNF1VAzVZa1Lrs/mRqSqPgfuUQMNRqul0uDOwozK+n6NbCVjgz1hIvtY398l79pxEMed4Aj6t7F2D\nlPv7JMDjnAQ7k0knn7llv9MpCfo8LmO/jfWj9tuyiGSNvI1Eo28e5dy3bFkGDdIXvUzpwHm7CuTY\n8vskZGTMhtT6npFejrtwoT0Q9QzUANAyOo3BLmV+wzKu5UcKpDEpZX6ljQ0UVKvnyXZkusbnpqfP\neb5/LeVWSg/OvNqpxptlymiRobIXdhrglJGoNOSAFD7nFvdZAP44yOPi9zFwxDmlzEfUVqExkDHG\n28fRjxrPDPSpZ3L6M+WPc2p9WQSWav/V2m2e44ywlPhJjX2jcTCT89S6oSabjNtYSYBrG3PT2mUr\n2pALgyEAkbc5sO7LNtu54pp+z76MnVsDaNPpcMfyUhp4PyM1ALSMvP/P2CqC9E48SXiyL7/XCMBh\nJT4m2FYitVQGk8rH+3NGnrwU1pPN+9igOKy8nCJDMbiPNZDmKEB6NsnPGr8SHDhdSKSN43xvg4wE\nOX+qUPcq6YFU/j73m0InSXPUvFlHEXd2hs6BU4Y5Npbr5NMqwDoBX20u8zDVo6PhZpi1aOazSqkv\n0jHi81iqmP+8tByq6QLrOl8/Vwj689gCDrcnnxHmiLX7k9HYXK3oYzguI992oFgZav2dIH/MIc37\nOtoDLz0Os1n3nLO2EeKpqQGgZXT3bilffFHPDdvzdZi/Fm7l+Brl72PewqqfDZKYsDnZUSA80drn\nAq68oWIqA7cxjVMpQw8IBQRoykLovLbvMZkMdzn2uRhKIlLuB0aulGGR+GzWby7G2NX4nYoveX0a\nWnS97LPbkf/7nEWRtNr1auctAlvZlhzrlLlsd/7mcakBYjagrEUE7Onn7zYgtSjCWPv4nx2DIdri\nCBHy6l3f0wGB6BtRLx9T+1wDcTXD5wiWnQdfk/OOj3sg4DnEHlIJAplbHJNzg/liI20epqNU05cu\nDUAWuFZt/6yMqNT4UANm5mmCVtpqQGRHKeUqaya9AtLtzGhoAirPF9sT+l7jGffyfmecO5uV8m/+\nTQNAZ6AGgJYRAkoUyN6vJ+7R0dAIp7JPA2awlHtH1GpXkjzhcoVWeqqAHSs4+lRTcry7D4tWdfhY\nlL2f4WOg400J6Sftdw2Kdxl2NAB+5soq2kF7MRA8NoAt5WuefI6rFRffUTgGTmNeoscgFXWms8ZC\n5Ql8fF2Tx26RMa0Zhto9a4ZlrD0YERt78yfPdQ1SLW071q+URRtSy30eY4DgDTDND0cO875+yO1s\n1teGZP8A6W5LjnEtGpnXyciKxyVlnPvm3DQf3D4bzSzE92eut77e88ZABTDleZaAM+e1221ZyKiS\nQZ3HgWsuigqOAQXuBbmvuYdWbSzhres3aa/lJ6M4zAuAp/WeAWwCowRs/p61eYDUv/zL0uh01ADQ\nMrp7t5T/83/q3gyTzYKZXofzz6UMQREKyQpuOh0+n2vMCDGhvLTZEzBBmq+VEywNpZWwjVUCALfb\nijHbkEbYfLRn55qQVAD01d8TYKAQ3C/SGt4csQYUzS/Gs/YU7HwUQxre2pj5sSEJvtzXHBcbCdqQ\nOz/b+Nug2HgZ4KUclDJUzgnU/dlK2OOWtQu19iAjKQ/5ew1g5bzK69YAR/YxgWoCf/cbmU95dFqj\nlt5xKgdecL5Tfdkf9yPTRAncOccRCadzefejZWry5e+0FTKISB46zeMd5N23dBKsL8wvR3F5OcJR\na2vqBd8/Zc5zFrBi0FiTx5SlBJvuh20A9yml1zduZ46/0381XczLkTvLFfy6caM0Oj01ALSMHj7s\nngifQCGReynzxtmC62fsIPT2ImyQrQj4zcqo5kmUUi9YtiL25CMMjuF3Cg8FVwM+mY6iHVb+gASD\nvewnhhPPyorGz0+j7+Z1Lc+eAI7fspbAIWv+z3bUPNtsE23NVX7ZFt6tNPM835972mB7jBK0cRzG\nxPwxbxLI5fcEhZYvGwVHM+CBDSS/+XO+I5e0fXOznqadzYYPEfXcsAGeToeP9KjNmZSl9NgdwUr+\nQp4DbkvtsQuOiuVz+BwVdjtK6WWIcz03nKYzkPXvjiokUEZX8G6QjdzbKeO8XAVl+Uz+mG929DK9\n5WshX97N3f+br3n/BFVuC/fmv9xvrCYv5nfykN/gM3Oed8/BWh+5bqbLAGOOONIOHjxL+21/ptNS\nrlwpjU5PDQAto93d7unBqXycr83wtMGBlUApQ8NvgJEFen5xz/QGADJppEoZejgJsKz4xjxR7unf\nUrnZqNhbd27bStG/ZdjewATK71ZE6Qn5Xum5p9G38kyvMb3kGnjIsR7zVG1wM1JXe4yFr2dgZO/R\n8mOAN5v1Xme2wwAiFeiYYa4ZszTYtShjrfgzyYDD323YKG61AfL4mx++Z0YaOM7yke3ifxt/+Ol5\nWbtGGkgfV+v3GE9KmR8DiDEnneu5kiuc6H8uouAhxvzvHcVJ4RtoJ988ZzK1lGDTZMDq/z1vzdec\n/5bZ4+NhdLz2zMEEtlBNhhIojo0N8y3nT22RiHV6glVAThaL11Z4ef6nbvI92hL4M1EDQMvo8uVS\n/vzPh5ECrzyy519KL6yeiAYrWazryYcCNEDJ6Ic9C08wAxG/DAgyBeJ7GNC4bb5veicZNck28Z3+\nOLzN+7lzQ+BXynxuvGZgzDsbTvOLtjlUj7InlO82JnjJKEwqoAR3Y+ApIygGnvxnZVxKLye0k/HN\nMTavE9A5IgVPM2oEuV/Jk5QbG6m8b9aj+f/kka/tKENGPy0LjtJkOzx3zMtaW3IMPK+ZE54/Gd2q\ngUCub175vdbm5Df3SNDma2Vtk//Le9bGiHuMHZdjlrJUk9favWjf7m7/X6ZQ4Unez9f3yrxMGWXE\nyGB1jHKeZ1TeBeKpDwxOas5ZAlTPKQATD9XmM21yCQGUq9zy8yJA3WgpNQC0jK5eLeWll7rPBi9W\n3PlgzVKGgmkPs4bi0/jkBK0prfxeAwWpSDypx45Jb8jKzGDCPBgzVvmq9a12rI8zLxNcjL27zaUs\nTseM3ePbrFjGAGMpq/dvkQEZo1V4lqDEYI33GkjknIwacF/mYg2oeF56njntlpG4RfxYBjbOwp9F\n9+UaNfn9ptAy4LEK4Vw6jU7KnnsQ/WLD2HxK+5he4DOrXFnlR2QGOUCnc06C3nRAasCeiM/e3rye\nd0TWzkZNnhZFwdvT4M9EDQAtoxdfHBaaeVKcRCnWDHRt4tSoppTzuxV7/r/ov6RVjWe2vXbu46ba\n9ccAZ41qv6/621lpEV9rv52lD8u+r0JPyrBy3UzRPC5aZvhs0Fybs4xWka9Gp+cNYIRNBzH6gJyL\nF+cfqnx83IGX/f3hdh0bG/3WGAmmHaVcW+uOu3p1MfhdhQ4OukgX7QGsnzvX7dYMIMpVZfTD72MO\nIzVGfKYPjU5NDQAto/39Ur7+uu5B1pTiot9qoAHKqMWToFUM5Sq/1a57UgNf+74oCpO1HQnq8nhH\nCExZz+HvjjT4mLOOTfJw2Xf3oXbfWhplLLWyqE2rvK96zFlpVf6ucs9Fcs5nDOGqbVnWvgReY1HG\nZZ9XuddJaSyaQNQDg+qCbtNJwHjt/7EI7u5ut8iEfZY2NrqIxtZWv/ptEU2nXQ0MRfQAor29TmcT\nMQLo8NrcnF9ltiqR0gPosJUIO/xfvNhtTljTT6sSQK2UYdnF7m4H9IhYzWalfP/7q/GqUZUaAFqV\nUCK5RN3vprHfuVYW4nKcFWntt2zPaZXlWCQhwUy2YQycJPk3+uvf7W25rqOWwuIabsuYkcpxSdA0\nZuCXReQyZelzsw01ynFNHmdUsJT54l4oVzzxnt7gGKDN9qQsZR1FjgnvtRU7tX4vAhTmhY3zoloO\n88rXd9/GVvP4fpY/f0+e1WrE8nenRNyvnLOLIlNjcuV2jemH2vG1NpfSAYTDw74WBX55qwifV1tt\nab7VZDrH5fi4Bzzo0K2tDjRsbXW8A1DAW7/PZp287ex0bSf1xfUZCwNb2s/mmgC+UvpUF6sMs/j6\n6Khry+7uMI21ttYBKD9mwzVmNZ6MOYi1PY/yXI5DvgBztfne6MTUANAy2t0t5d69eaUJGczk77x7\nAowZUqhW2GqFW4se8O5rO+zr9iwyMouAVq1vywDL2Iogn5dAqQZ08rv7OXbtMWAyZpBrVDOWUC1y\nlOf4vqXMy4mLSWvAZCz3b56nocmtEJJqq4z4bjkzub5tUeQiKf9f5d6+Zx6TNBYFrLW/dq3sxxhA\n4nON54vkadHcWZVWuX7KVa39s1kPADY25mtmxiJQuQout8twYTDvABBSUwCezc0uHXT58hCsbG8P\nU1Xc6/CwB0zU5wDadneHdUKbm12/LlzoPsM3p8ESBO7u9vuE8Z+L4Dc3+9Waly/X5YVzebFSj+Oo\nZ0o+k9pLeQXkcd319R4gZp1pjlWjE1MDQMvoxRdL+Vf/avlxaQRPcvxJ/1ukEAEINaA0Ft1Ypb2n\noRoAy9/zv5oBGgOXi37L72N9XGbAlxmW/D4GUGvXTY9+UTtW/X0MWNeOr/WtZtjHahX82X2q9WsR\nWBrj0bJjxmiRLNSA5tj5Y8fU+JjbFdRey+6x6DP1H+kwLOp3KcNVTY6ajPVj7DvtIEpzcNB/zo1B\n19e739fW+n1sagA3N3Dc2+tTPESovvvdDgCsrQ2fW8i5RLCI1Dg9BFg6f364xJzoCW0AaBwd9aBk\nbK6PgUv/Ds+9N1DuzQX4I2V3cNCnIL/znfltK8b0ZSuCPhM1ALSMmCSNTk7LIgSNni6dBlSMKeJF\nv61y3aRcZuzjx4zPKu0rZei1L6PavfyAzYzUjbUhDaeNsVeUjq0w8jUx7GORYPrIM++uXBkCJ0db\nskAYkOF3X5sUzNZW/x396NVb584N9xpKXk4mHdjZ2emXyZ8/3zmcRDy4Hiu+vHUF7bWc+PNk0tfq\nEO1xYTK1QPSd4usHD+qOW03OADuMD2DQ+/q4rbSRd1avERnL6ybP0sFo+vXM1ADQMvK25k+SxqIG\ny6INp6UnGbY/DZ0mqrPqMSelVfm6ypid9LNpmWE/y28nodPI5qrX5N3Fnhiq3H/IUYaxyNJY8amN\nKefPZsONRBNcuU3eudtghYhHAhnalp5/trnGs1qBNkYUYEA7MqrDsm6iGsfHnVFPkAC4sSH18m82\n2GPfLPfdUZtShsXURGtyTIjwkHaazTrD/8ILXR+ow2E1GOdR4Htw0KXDGMNaO/zbbNYXSF+61P12\ndNRHmba3+1QTQIRIkR8j4lShdxF31I+04qVLw5oqwKDBJtfztTjW+wfRH4Mn5Mhpbtrd6FTUANAy\n8gR73LTIwK3q1Z7VoJ3l98dJNWNaC5svOmfst9PSKrxdBjgW1fEsu88iDz9/43PWkC36/DTJGw+W\nMlxJs0obDU5yk1KADakFp6a8qST3xYBjsLJmgx27DXzguY0lvGfM/dT19ORNOX7oHO8Zs77epztI\nEZXS9fHBg2HkhcJep6ecSqPdGxvzNT4YYiI7pJKynZNJzzePm430w4d9lKeUYbQDXsIjj1Ep85sR\nwgPAnoEcx9IH1xLBP8Znc7NbqfVnfzbcnZ/0mZ/1x9J2jxnAB+BLPRXAE1DpeiXGrrbMHnnjZSDu\nSBLA15srJkBrdGJqAGgZEUpelZYp70X/LwIgpwEnJwEITxP8fFPpT9X3GgB6GvdeFjE6SySpBnj8\nGAEiFV5ibGPk+2VKBoPtugqMPGCCe7Oax7vukhK5dKn/nECntlkdfMi9ZmygDD5ocy31xHvu3k0h\nMAa2lN7ocv2Dg/47BbwJ9LzTsVNb8MggwY/GoP92BBmTzc3uRbqJZdqAoq2tUq5dK+V73xvyi7TU\ngwdd2w12SukjMsnrHG/vi2OZcBqxtjIvib4TSVkUnQSQMDbULMFLVohxPrze2emBMMfw7mJo+oIc\nAzIBVVtbfSrwSTnmzxE1ALSMmMgnoWXGYdH/J0lNLftvbG+Yk97jSafAxhTTN5G8I20pQwMx9lpE\ny/5/knxZJUo09nlsP6xShukB6m0wMmtrnTF48KBfjs017FFfuDC/L00CD6I8RBkwjBcvDg1kPn7A\ndX326A1EEoyUMozkILMJEGqRzEV857v3erl/v1/ltL7egQgiOgAh0jc23OZbKf2+N9NpH2Gghif3\nwnHdj8eOqAPn08/Dw1K+/LIHlESBqA/iml9/3QOehw+HRcy0xeOe88YFxJka8thYxvKRGSmbywiZ\n8Ooz5H1np98XDttw8WL3n3cx5zoG2PwGIGL1W6Yhvcye7/D9+LjjJffZ2mqF0GegBoCW0c5ON9G9\nkdYyOqvRa3R2Qonx2e9jnxcBScL0rCrJ9JNrD/KVNJayehyAaYwcxVy2TLxmyBcRRhNA49oHvhOZ\ngH+XLvWGHWCBoTk+HrbXwIS9Wfb2euN//Xpv0Jft6OsHUdpgrkq18V023qUMZYPr4OETNSGqcu1a\nb9SQu6Ojrq+0ndQdxrOUfgk148D1Ll7s+H3x4jDiBt9r0Shken+/T7Ht7XUvyNGL2awDOA8eDOut\nPGcuX+4BEoDUhd+ZJrQsOapVyvzWDK67YWl7ps9c3zNG3M/XR9bW1/vl8AnISK9l1KkmP07Zpmw4\nSmlHy+CwlKGsNzo1NQC0jEDwR0edZ4ZiZvLjYdXOO+l9Huexq6a/nhUwZo+VNISfvVZKPWoxFuGw\nAsbQ1lYDOlrgiJvrKGrykUbz8LAzHvv7vcfoFFGNFnmz+/udQcJbtJHPyGDWqCxa1bRIhlDSePbU\nfJA+snfsNAZggBU4TmllYezmZreqadWoLGOTG+BhYDD4Tpks2iV4GUh1P50aI63npd5OwfFQYFJC\n9+/36RZHrjI950jYgwfdf+yFM5l01/nqqy7aQHGzNx80gChlGIWyLF6+3O06TD2K0zuuYzHQ9Wo1\npxENtJBP+uHHVDgVBm9dX+O0oSNB588PgQjtY6l8yiC8BZBYVoiqeexr6bVF8mCHwDI25kxfvty9\nW/YN6pbplkYr0zMNgN57773y0UcflWvXrpWXX365fPzxx+UHP/hBKaWUO3fulF/96lfl1VdfLbdv\n3y4//elPy9WrV+cvkis78DSZfPfv9zlvANFY2H4VqnmRte+LohYZnTDV0mKnTbOcFbStmh4w2VMy\n6MCbTOO1yCuv/U7omxUbjCWeby61zeWq9qqt0PnPy4bX1jrF9uBB951w9v5+L1fuWynDIlmMCwWn\nKHjSSTZ0YwXk2X7kOnlYynAVlflAX1DOrNhhjAxEbRBsGEoZGlf6AAhgXh0edimIr78e7xPRD0cO\nasaGCIGNcqYxbPASACdodFGu98vh2gaGV670Baxcn3H2eLud8JOokEH6bNY7ZUTKcNauX+959/Bh\nKXfvlvLP/9wDL+SVtq6vd8/Hsq47OOgfL8Hx6EXqj4gGwTsXSXMd85t0Ms/OAgwa9O/vzwPw4+Ou\nD0S3EiQhW47SIKPw/Pi4my9ff92vSiulrwW7cKF3blNPeGuAUoYr9gzaXSwNWEG+MiKYKVffk+Mt\n38jBiy92stToVPRMA6AbN26U45E6mLfffrv87ne/K6WU8vrrr5ef/OQn5Re/+MX8gffvl/IP/zAM\nPZcyLNrzhEeQXYPg1QZeFoliwECkQseg1KIUY6t9UDSZ/uH/9MZOmu6AnOfO32rfUxnxP8rKnmKm\np2x46btTJjUl5TD1Im+ee2BUnHOHXNRYyrB+hHFwKqL2H+0k/0/BL0qcax4c9J66+88zh+Ab+6fs\n7va7xVJ0aoBVyrzSpS8GQal0+c5xNnBetcK5rPSxEbPcG0jQJ/OW/5hj+TRuyDJEigA58rOfcoUP\nRaiLqOYsGKixV4yjJeYH8kPkgjZ4vjEvKXIdA3EG+f5uoMZ1uZevZaDKHji0j4gGhhpQgx6azTqA\nlIXSTitlKskRPb7TZq+yo++l9GDw/Pn+HqR/Ul7NR4PMr7/u/0PXJohyZA2whTzTBtoPKMLhSafW\netdz3FFG8xLAxnyqjXemAO3c0l//7nY0OhM90wBojG7fvl2uX7/+6PvVq1fLrVu36gdfvFjKn//5\nUOl5/wcLZyJ61zJMp921MFSl9Iqhpljs6RuopAflyeK2ODVncGVv10oyDY3v58/+P49f5ftsNnyo\n33TaKWR7bPTZhZWOxoyRjQSvRWkkK38brFUicNBJwCNpqY2NYZ0HStLgGANXSt82R3iuXCnlL/5i\nuPzY6YCMYmTE0ADHyjrHGfBFhKmUYVSG629tDcFVgtOdnT4qROQha0BWSfchR5YXjB77vdTIxrC2\nfD4jWgatLBff2OhBgc816GH8HO1xBC6jt57LjuZkdIXj4J3BytjYQo5OMZ4skSdllKurSplftedC\nZRvnBNDWRQaxzG1HQzyu2YZa2szREKdQmRel9HVi7h8r1jKqkyns1OFci/4D1rhnpv0cuXMk3u85\nXpa5lFnP7VpqtQGhM9EzD4B+9atflWvXrpXf/OY35YMPPihXr14td+7cKdeuXRscd/369fL3f//3\n5a/+6q/qF3LaoZT6hK8ZnVqY/P79fqIQtnbNA8eiaCeT+oMKvbKGV4ZLrTz4TvtKmQdbCbIMkHKC\nrkIoiq++6kPNKBKKMg18bDTx2DCcaRhc1Jj1G/a+EuDxnWLc00TAViVHazY2ujoK99ljauNeSl/M\nijG9enWowL3PjNMoyEzNg/bnNCSl9B47K4649+XLQ0PssH8pQ0ONx+2i2YsXuy3+l9U1jRH95b7e\nCblmHHIuca4fYml5gRzZcs0FbTDPEoiwhw7HJt9rBo3fveqnZpQ9P/OaOab5eYyfXmJtYEh7Fjkd\nY/dyVCmfNm/g6MgsQCMjJXYIARi8mNsGdDx3zM8EK6WX5wcPevCe+pP+ps4jIkwUkciYa60YMxct\nWyfVZIIxzd8SHFlGa3J7kgL+RnP0THPv9ddff1Tzc/369fLGG2+U3/3ud+XLL79c/SIUctqIOmyZ\n0REDBwxFKlUm7mTSgwJP/FKG4XMvh3Q0BKXr5bFpXCEroQxTZyrB+WiMq/s8ViRqD+z+/S6UTHoL\nz6mU7tooIxti8wFecl3zmPSB0wP0Cd7YW+UcVnNALMu1sjXvU0kliOI3K25eFLseHfW1Pbu7HRA0\nr0yADy+vtYKDb448orw9joBD9z8JGaR4lmXXHluAN0vMfa4jVKXMRzMdMZhOu/Ha3h5GFWtRh0wd\nAAJtsCDLZH62nE8mnbGy88Kc9JJi2uLIllcEYXyc8nIqj756fLkX/LZx9/87O0PZt3FOvtTmCDTm\npLjPCZgnk37ptaMvy2g264EHm07SVu+uvGiMxpytGo+dznTabmurG9/vfrd3AA4P+52dDfCoy/Kc\n5Zp2HNxG5trFi32KGdlh7OHfmB3I6E/NMbNutSOYY5uOUwNBp6ZnmnOAHz7fvn27fPXVV+X69etl\ne3t7cOwoKEJhodgcSq4ZPygnElGPnPS18LHvzaQ/OuqjKEzitbV+VQf7f+TL3ocVMV5XTkCUvDdI\ns8dqpWRjT4pkb2+4CZprnFyoXMt5L6JUkrWX0zX37vWAwlEnK3naheJzoXPNUDtqhneIVwbYJeqx\ntdUVKKZyMrioFXKbHyxrhgB2jLUjXE5V8DvAhbH0c5EwIPTP+8e4fZYdR+BIYQBOOAaeLEr5lNIb\n/VKGkQjfh7a7xqXmdDgl7fYZtBlMw0vvETSZDEGRjZCjXfbEnfLg+q53yRS1wTR8J5KEbqBvOSfQ\nA5a7dET8OaM602n/mIoEOMvADjIGUGCeM682N/tl7r5+Daw5epg60zSdDlPEHO9VYqXMO5isriul\n277k8LAHJ4wnoMx9Q258TRfRe26U0us49A41ZszR2nL7GmCv8X7MFtR+aymwM9EzC4BY2UWhM3Tl\nypXy8ssvVwFPNf21s9OtOLDRTGVcytCjWdV7yuNqOV7yy8fHfbEs9/cqCtJENYCCIrIXbQVuIw8o\nyi5Gs4cAACAASURBVNy+24txpSh0Y6Nr2/e+16dobFxOO0nTi6q9ktIIOOqUK4/oE8rIK4VshFCQ\n8IVUB8bOdQIXLnRpNYAj3msp86uenD7hf9c1JPiykfV+LIwrwCeXW3uVEGNCXQvXc0QrvXMXO2c6\nAsON4odftfEz1aKRPscpKMuyDZ6XK1MIDj9saMwbpw0BgjaoNnSOeCagcpvS8UGWABw10H8WsiPi\nOZ2AB3C1yvyz3oHHBsul9E7EtWv9PF9V352GasA5FyRYVt3/4+Me6CBHlk9krJRh+hcQc+HC+HjV\nfrt6tR8XeEbU3gs8ViH3rdETpWcWAL3yyivlgw8+ePT91q1b5a233iqllPLqq68Ojr1z50558803\n6xfiYXpJKGOvxvBkzMljxVJK3curRYYcQeHZNFk4PZ329TSQU2EO7Xry26hwXfrmtrkIl/D5pUt9\nyNl98X0Ij9uoeqmvlVbNw+F6vi6fbTDdJ6diMARZWF6rH7FXijHhmvTj+Lg3KBhgIiksNz887AAz\nY+DIjGXHoNLjwrG0Mb3pWticSBeRQiKOm5udVz6dDnddBlQYAM9mw5qNyaRPo9mjrYEb98ttz/Zz\njMGol4lntMBzyICVjfScJnYbMGSOxiC3WXiNF19K325774uMUTo9Y3P/cRMAi755V2hAyiLQw/gD\n3v2duQi4/c53xvc6e9J0UiDAmHqpu1P5X389BDdJNaf0JMS4sBUBIHJnZyj/j4smk36RSKNT0TML\ngK5evVquXbtWPv7441JKKZ9//vmjz6WU8vHHH5ePPvqovPzyy+Xv/u7vBv8NCC+qpqRNTDSH5V20\n6aiIPXqnuBwyL2U+1wsYckgXyihNzThxzVr+2dElgy5HAMh1j1FGrjjH9/FTnTkHpWVgYnKfrBQz\nSuV0gseMeiFHFBwV4zgMGMdjnM+d64EEfSBtZOOQYw4YwShnsaX75j4CZviekUaO8TUYG8YN0Pbl\nl70xQ1HipRqMe88d7odc7u0NI54JTOBdphXgAf9zL0d9GAOOz3GhbaxUysico2xOSwPgXIMym/Wp\nmywmzagXvOe9FuXJd/PzSVCuPDXg8TGMmwEf8k8KnWgj7SWKy4KMZ4FqgOjgoEuPl9LrCcvA47y3\nwdDjBD55n0anpsls9qRG5tmgn/2X/1J+9l//6/wfteiOl0UasNQmF0aR46hDGDM0ea5ftTqkMe/U\nr7xmpuCgbM9JJh39zKdiwysUdC2lUatJ8dLcmuFyVMXnO1pmg+uoiwEVymsy6b0415jkShQbZffX\n45I1PxTYG9ByffhEvQVePqkm2sZxFKHu7Q3TL7NZV+RMvU3KJrUW7lPyxzVWRA0AaHkswCNrgcxb\ntxuD6x2PM7pj3iWQ95jbyeD6jm4dH89vD7FoTiySaafTvBSa/2kL/Vt0bUchvQghV9oBeNhdexHh\naNy/372QaYrradeY0/GsE8DeEV+nd7+JPMk0ZSmrbQ/SaJQa55bR2MNQHbnhOK90gsYiOvZCTzrZ\nHre3wjVrxX6lDCddLfVRC/1ncS+PE8GILwrTO6WD4XIBtVfp1Oqw3MZloM2pH0f7dnZK+eMfu7Yg\nA14N6Cc1OxXqGivua7CRoIDlv46ksMrFvAPQcD+A0f5+zxN4sb1dyj/9Uw8GLlzoahQywkNbnCrN\nVUI2yNQ4eTl+pjK9hN51MrQxHQNHewBwBluOTjlKZmOFzAJiXdzvh3WeO9fvy7Vo/iQgslw5ouXV\njQZ3jjx+9dXQKXJ/XINiOXGkOAnQxXjQRj8jjc00GfsXXuj67qXpzKla4fg30fg/biKCC6C3jkIG\nc+7+qchylqlx2tTSXo+FGgBaRhZCe2UomGVP4rUy+baGKw0yakQaAsNnwHF42HmiGCAMro2U6zVI\n7cBfPBzGwVGSjBD5fRm5GJa28lRxvGWeyYNhNjDDkFEjkxGyWvEyvHJqbGOj/x+AefXq/Oqiw8Mu\ndP/gQW/gMLT373fvLAf+i78Y3j/Tf/Ac0GLjTTv4DWPs9JqNt8eRsD81FmMGNaOWfAY8UVi/ttbz\nOvnqAnsDI17IogvSx4B7LYro9DSySR9zTDP950iVo5EujMcRyP2sPN7ZFsbRuxojx2tr/b5WV68O\nQSMvVmvRftf8eMwdJXSa8Fkk5JsVbqUMx9OgPBePnJUcXU2Z8QrBZ5X33wBqAGgZ3b9fyj/+47zS\nJWyahnfV96Q0kmf57ySpr1LmI1M2SjVyGolj1tb6glLv3YKncnQ0XGFmg0tkYmtr3hDkO8oiHw7o\nvthIWMEQtfF5TqHYM7fHTn9JWW1t9X1zZKoGyE7zmejBgwed/OXyZ9pKVIpHd2TqxN5rDYS58NU8\ncdE4bbNRyFoUR4smkx6gJf8MHFyoTBTMYAtydIVxJ0LENbj/+fP99b1jL7LovvC7X8iIwZ8Bbs6f\nlMmM8CS//SiN2ayP1lgmx1Zp5rxdW+vADulQgHSuAhtLj3humhelzG9qSRTNY/2njoo8KXIEmP4k\nQKfv3i+I8fY4OSJtubcj4vICH5+P3xlra6bBANCNTkUNAC0jdrBFaLM2wsDCRqNmwPM3KAU/DeNY\nFInfDUS4j+sJPKGzrsDtzpCvJzMTmJVoXjVlJUKNQtZhOCW0SpjdfXMfrEAw7C7u9KMtMKQAHK9m\nwthhLABh3uq/lPlaFht/v7vmx3xJw2tQ4eMxkDwmhDHwxo7Ub9DGMUALebUVhp170z6AVO7d4z5k\nZMD1I46I+H4GFVmr4zH0KrOa0fD4JYjjRVH3V1/1v927N6zDcY2dyfLlYuv8L6N7fohojWc5x3Mp\ndDoRjjjV5AlAQpQNo8t5Dx4MeezUqsHQItDCPECmAWSuyeKabl+Com96xMKADxDD89FWPT+vA4D1\nHINH8DJr48wnz5Va+otrms9jJQuNVqYGgJYRq65MtfQBtQUoBEcFbCTSGCyKztQMUE6OmpHNlEEq\n3VoUKQ1KLRpk5Q+IYHWTi265ZgLDTKXl9b0SzlGiGniYTIbKZ22tS1l5Wb6jFKV0AIOniLsYlL7g\nAePVcQ320yFKYcM6Rk6J1HiJkeKBpgcHPRi5dq03xqSeTkPIpVegwccsFl7lWgahjsbQH9do5VPo\nMZq0xfvTpPz5VYuSpeEopXvi+fe/3/9PW3lMggGgo7f5bC3a43cT/Sctwjme5zWHZsypMTDKF/Ln\nOrjkl52BGn84Hv7PZj0gTPnNyGcpfdQDgJgPB+X6Ts85WpQRwKcZNXIqc6y2cxUyn52ix6nKXbGZ\nv8ig9Zz5ghx6YcSznH78BlADQKchFHuGl70M2kWypfQGwoLtVU1WHn5l3YONTEZongTZcBEFwojl\n7sEmK2ivljFodHGoeWqQZrDna5TSG/XaQyc9Ppx38WJnKKfTPvWyvz8MIx8dDXd1xUNkqbGVuI2P\nC3sX8ZKVOd44kaJiR95OSgbGRJJms17esuDZK+5Wud9pDBhtMeip1cydRn6JarH4oHZNZADv3iDb\nq8yyDWNAYhFlamOVCN0yMkA7CWXUl884KKwQc+G+twVwOgfZh3c8OqWU+TRd1qz4/qsuoMjo31nJ\nxfj05aTXNsBzBNgRGuswg0sf4ycB1NJtvONYmH/wxA4YqbO2CuzU1Dh3ErIHbIGFjORZquqQP2CC\nwroMqfNgTiuBRd6xl197go4p8lWUvT1PrxBBuZPignIjO/MiozdEVfCEHj7sXl4in2CI0LE9UGpf\nMAz2mDNKAV/X13vl5U0BMQbclxofRzUykpbEvRwV4Ly9vS418/Bhd81Ll7onubOJ5EkJZZy1APTl\n6KjfrXdRyoPreEXR41jxArgCZKyyUOAk5FU7J0lblNIbkCdhME4LXJ8E0Y5FkcNa5BX9hG4qZaiL\nsq7IdU0JXPL4MVnMaJZTy6a8fs5H6x7XGxqU0dfaOXb0vHkm93aE07WgBm5jUTw7eachj1Wm3Z+U\nPD8n1Di3jGqrA4z0V/EmrBxPunxxzIs04ClluFQ6Q/iL3v0Z48L1WCYLkKA+4P79Yd9yOTLKhHAw\nIeHJZLh1wKVL3fOysmCVyExuDAk/KBC2csG4pcJ98KCUP/xhmN5iJ+H19eEu3/SP+6xSN8F5KML9\n/S7Ndu9ed8/NzS7y9Gd/1oe4V01p1VKe9BevkKjObNalAFeNFiQYwDgATj2uy2TcoCc94MdFtI3I\nY6OzEfJdyjxIzahEFu9COAwGF0ROvfkgj+rx3EL2PL8sy+n8ZcmBHS7mHlGmjHg6ouK+WK6tw3Jf\nLtq8iNLxysiQ05VpR5bplxyrRo+NGjdXIYd5nxblyhunwpJOEsL3dVkm65DxmEF1jcXOTh/JcS0N\n3hee2Pp6l4LiKecGO6yuQPl5VZi9Qo7J/D2GOwt+Hfa2UiUKtL8/r4xQOESLSB8kyMMos3z+8LDf\nNfpf/Iv5Ogmu5xVXGXWxovS5ji7STvr5OMLgNUBE/ZMLxW2kfO6TAD2l9DyeTk+Xvmh0crLBTbKh\nz/o2ywcptkx9JaDxnEe+0Tu5wjIjPl44YNC0uzsfsaFk4Cxp5lKGfR9LgS1b0WUe+jl8JwVGjc5M\nDQCtQt7rJJc9PglyztmAZ9n+E+l95DV9nPcPIT1EXQob1nlfHkcI+M1Rl0uXhqsYiAABVpwTv3ev\n9xRRTH48RBYUOnzstBfvk0kPiFJpjNUVjIXeKRoGcNFP2sVYuI7m4sWuALdWi2JKMOlxdq0Y/TBA\n8tjB19M8tmAsnZopTNqCfHCMI2mL6p58rdN+Bng14PPNIQOLJM+lXKmYNVGWOcsgEWc7C07pueB4\nba2TDZ6DmPU1mSbm8zIglCDPDonn5Wn36Bnj4RgwAlzWSiPaSrAzUQNAy4giy5qRtHexigeeaSso\nw6dO4wBGShlONoMN1+wwwa1YShnWH1FXw2/0k4lEisuFz5AjKQAdf5/N+gfIXr48PJ6dapnILKkn\nbVfz2LIGYSwluIzS0Fv5ljI0tHkfR6Dg8/p6//y0s9Cq5wMIJ5OeN7V+1MCNqWaQTpLOhZC93d35\n/3ydVT7nd4PdBny+PbQIHNWOXTXC4UUiXnWa/69KjuwmuPGc8OIT2gxlpHaRPPucnJeL5qrb5Xnu\ntP8yp6vRQmoAaBk9eDB8urcNBwbAxcdeJgoo8C6yTCx7JentG1ykV+SCQyaGN/JywR81Ka4TWlvr\nC3/twXu1hGtMUGqTybDNtGFjoy+8Zdl2KcNIECHp8+c7UJQK0v0xYCplCKz8O1T73crJNQVWujUg\nxTkJ+Hh3Aehs1tdLlTL0KB9HsSMvImnIVimd8nYfaoAmPe7HTa6DOwt5nPN9kVEbMxar3jOdipqT\ncZJUcqMnR4vS/aellLecd/yHc+lj/d/Yd66ZVIuGLZur1l+ltIjPY6QGgJYRACQnSi0H7j1jDg76\nugiKk8ltA3psrGrhWoTeK5HW13sAQx2LN/Bjzw4XL2OkqKXgCdI2mAZUgC0AGFEip5EOD3vQ4xVW\nudvz2loXKYF37Cqb+fP8nMogo1oGOVY0juik4vC14bnBihWYaxfsKQIM+WxlmccYJLioMqNo3Msg\nCkDqsQJIQk4njPXRx+Z/5hE883VrAKAGQPNzvi+iRUBkDOwuuvei/8yvRW1d1o9F/VoEShf9n333\n9Za1rRZNWKUf2W4ft8p9V/nP1z/J92yTqRbVrPFjEdXkLOd2tstzp/b/2D34nPe0PC9qd01P8nsr\nij4TNe4toz/8oZT/8T+GG52BwDFczis7hTObdekkVgQRvrUB9sqGjFbwO8bQz65ykXAp/cRwjRLn\nMlFcwItX4zojFDVgKmuBjo97gzybdf3y5JxOeyDklRi52VutoNwgI8ElBEjw/VIppUEfAwY2SF4R\nAgChviaXwdcAU4IyAxsXSrt+ijHJAnvC/ICm/f3+ad7wJu/P55qCNNCij1nvM6aMPbbcd6zGagzA\nGOT7/EXjVEt15n08fshFtjE9bH+ugSK3C5mwTPoelhlf3zLgd89nA2XzKQ1d9sPtzO8p33lt89HH\nL+NtKf2cc5tyjHIMvRrVfHS7azKYcuh21vhmwoHzsRkJTr5YH6QOGQMkKQOuFUR3JbDKtuTvPsc8\nyGvlWP7FX3QraRudihoAWkaEXo+Ph88hckTHRaJESyAm2OZmbwBJnVDA59RXLmPHcDEp+N+TzoWo\nBkvcNyd5KcNN/gyimKSHh/3S1Y2NrqZnNutXHnlJN+eRCnPBsxWfV3IZeMEngJdrn7g+YMfjkjzO\nQucEUgYBnAfPE0SRZiINs0gpjnmBrtECUPIcseQPbdva6h/HYBBpsJfGepW22KgkiEmjU/svaxB4\nT9BhQ2Kw6jSCrwkf3Kc0FLXPNh4Ab8gF5YsMSzoc/D4G5viMrLFPVs1AJXD2cch0DXyN9dXthK8J\nVGqpV/fdY0df8741oI1sTiY9nx0h9bnmo/tQ++w2jsmf+8Uc9jHue4KaGqhEFi1/rqPkPrU6wDGQ\nXgPD2Ub0Wk1X8b2U4ZzxHPK8Mp+Irjc6FTUAtIw2N7uN646Ouh17UQBEdKi/sTJxMXIpvRE7d264\nezJLwEvp02VWQPmQRIMAlIEVAu8s/faEM2BAEbhehcm1s9MZf6furFAousO4s8cPkYy9vX7fJBu4\nrI/JpaL05/i43zekprxyx9pcRu7VW94LhHO4TynDlF9N8Se/XPtUylA5OYXp/uYjHzKyZQV+eNht\nmri9PWyXQYtXA1Jv5jTb2LLhbHuCxfTI03P2OfkaO78GkNKYp5Gq8Z/z/F4DZPmqRVzMyzRktf7B\n82xrgvIx/tVkawwcZH/H+pbH+LtT5+5Dptzz5XmSnx39zGNq7XYK3/xOXvlYv+hHrjqlH553yJLH\nNuUVcl/9n2uMfD2TfzPQzOimP+f9U16SbzX5twPs8+Avj81odCpqAGgZXbjQbWLH5MHglNJP3tw1\n1JvH8X8WPPMfSuDgoCu4poZnc7MDXDwLyisRsp6EtvA/1+a9ZlT4/eCgS7Hs7HR9/c53uncb7vSI\niTCVMiyQtpK1AbaRrCmhVBQcm++zWQ8KSbX5Iai0x8vDrazyHmPKyco+larTkgl+PTZut8Fw3tcG\nC0Bjw+SIYN6f1JqfiebnuPl+pG8MCNzuBCKWtwQsHt+awXAkwPfPvvO775+Am7Hh/Nw4z6AuDbyP\nyTbRzjE5GzsesnzUDFTtfINop88NXGxk3U/zJWWpNod8PRvWWkqolL42z1tAMNfSSfAjbLLftIOo\nePLZpQQ1cGZe4BRevjw/jmNA1LolxyrHrTYPDNhqkdcEpF44Yn2eY+r71R55lHPT8pJz2f24caNF\ngc5ADQAto6Oj4aZeTET2gfATfk1WTF7Oa2WAssGYAnqIKKCUMIylDBXhIpDhiAuT0IXKDx5039fX\nS/nzP++iPX7WljcX815B7B3Eoz4ysnMSvnrPnTTaJv+eCpklsVYC9iYdvneNAEbIYNT/kULMNvAb\n2yPkGFiZcV2fnwY+I3O19ls5ovhcxM41a+lTX8Ptr/EXWfE9Hd1y28zXmmHnM+fwG+mHRamUGv/M\nW8h8ByRY5jNSYCDlvtt5SIOUQIVzcj7XQFZGWN1GR+lsaF1vY9nJ6Ej+NjambqPTuSnPWePoZ6xl\nusbXz3dHvvIc98XRV84xb9KJwMExWOYeGT2C3N/8LUGRfxuLulh2vNzffMMBSz7lcVyjpgfgo+XR\n/PP71aul0empAaBltLfXASCEt/aMmPRUiQDVIiFWsEy08+dLeeGFYT2Nldzubhel4XpEhfC0XCvC\nvTjPDw/1wz8vXeoiPfa8SqkbI4DP5ubpl6Ja2TktQlE19/M7n92H8+e782qAMw1RelnZt7yXxykB\npe/htvlcGzMr82XAblEbUYT+jnfusfFWDLSZlBh1ZmOpBrfn+HhY28U41fprg1PjHd9rkb6MAox9\nNn/yc/LO8uU0TA00Zd9Lqc9rOxDuh8eF3/1bbYyTzwY82Ta3wUbfsp1RPcuAwRPnWy/ldR3ZgFKW\nceT82TxwH7JPtMn1fwkEPQZJ+XtGePK309KYfqgBvRoYrQHSGhgau/eYHvP/vmbNoWm0MjUAtIy+\n//1S/vW/Hv5mEOMJwEaDPMfKT10mFWYycAHgZOSG41A4u7vd6qvJZBiBSkOGV0F7jo878ADo2d/v\nN7FDuZfSgwsrPoqSxygNlFNU/Od+ZXjchicNGDyq7Qachrb23xiwq/2XACQNaE2xpQHJ99o9ODeB\ngdNENQVoo+xNG5PSyLuWLCMl2ZdsWw2YnFTpLvJg87dFQIf3mkGpXdf/5XyF32N9fRJUk8GawawZ\nOhNyafkB3DiqcBZKOXa9Ic6V5dG1eAaNdl44bpEuWQZiag4Lv2d6z8cvki33Oe+zSE4T/Lg+1GA1\nI281sOT3jLiljPpa1Go2OhU1ALSMvvqqlP/7f+e9HQsmxG9bW0PlZKPDcT5+mbLKicmLGhCKlnlC\nOuBmf7+PLtmLrykDe5jedJH7pxH2uZnCykLcyWS4YiaJe+HVUtDrKE+Gpbm/qfbfWIRhEf8XGd9V\n7jEGHHws59eUYJ5To1Wuz3evBDSwynuO8XOs36t+PgnVQO0Y0D3N/98WqgFyG8InTeiLTM24fQYA\nfm6cIzxsCovc5R5n7qvPpTTAO9xnmjrba/1cyjBt67omruMFEwYr6fTYyfE8cuQqo745fxk76pr4\n7HrRMd2c88/3fBLP33uOqAGgZbSx0UVNPFGM5L3kNoU+J0MqsLMqs+m0S29cvNgXBH/9dTepLlzo\nVq8ljRnWjDakMbOCcp0H0ZmaFz2W8kDRwDsKrlE8YwogjaoVxyJPfgzsZT+55lh6ZhHQ+FPTmEe7\n6HMpdYC0yueU65Oc/02hjADVxvUkNObN16590vuctk2Pk2r6zu/+PZ099MXubh+BdM0fhcB2snJV\nZ6b20TfoH9csEoHJqDNAJVdP+tE/dkwTRKXOTmfRcyzrxtLBwV6w8jdl0ffzNhhZE8W5Y/VfjVam\nBoCWEUKWYCUnhH/Lc7OQlfNcC2Ohr6XBfN/a/byCiOs/DsIDK6VPheUS62wLlAY4V2txHT9cdYwW\nGQSUw1hEJZXLWKTCim1RO9yeMZA01taaQal5+qu+vo1UA7bmSaYPa/Kecs67ATqffU4tvWDjbe8+\n0zE1T5zzagsdxsbZ9CTGuAaAs1bIqdFcWGC+53fXWXmVGPfLWh3zl4guaRsXf/t8AJXBhscMXuN4\n5dgt40u2z+/JN3jnMXSbfT79y73XSpkvtM62mAeOwHurlARHmcZudGJqAGgZseMyVCv2WzTxxv6z\nsnQO2cWtjmx4knsy5cQdu+cqgIXfPAEd4RmbtLXvtN3LaolModROSifxnldpY63Ny6jm9Y29sk0Y\nVnulmSI1b8ZAnT+PATD/tog/i35bdGy2pxZ5yuhIDQSMOQ/L+p/7x9CmrKvK1K83u3MqZAwMmKe1\nrRXSKPp9jJcGFjW5yXobjqUds9lwGwKnimvyTHRlMulTUzXQZ3AEr8xbrkMfzBP6lvtyUTBeyjDq\nw32JcOSY4RjVAHEp83teOf3EfccA6ZjT4X7x3cAtwbOPT56nPNeAr+WNl/nCvnGMjdvscxudmhoA\nWkZ375by+efD33JzszEDADmKNGa8xrzPmjGFavVFVrzLimpzUlLEXXucBm3Ipao1I+vj81EPtMe8\ncbttyHx8Kpw0TuZnDYiZErymcaldx7tYezxqirDWP3vgBrmuQ/Aqnlr7F90LJWnimrW+W+YwqJYP\nroWxWmY4fP00sLWxzRqLUoZ1J9zTaQIDgUwv87vbDW8B85nCNb8sb/6c4Mvzx/cDHJg3Ln71OPDd\n5ycIyJV4nOfalePjrv4va/VShn2fWm2ivzsVlc4eiy3GxraU/uHHBnjWB8i/+8PvqVdq7Usecp63\nrUgg5W1Kag5HylItlc5Y1PZjslx4rlhWasC6Fr1KgF6TQY83TxNodCpqAGgZUVsDZfQlvcL0QHJi\nlDJcFQGhpKzEUDZeHu8JRsSIAmOuU8oQoI1dezab32nVBtAeM+2tAbIEe+xCnYolFdSY5+dniMFP\n+sFn3jN07/bBd4+Zx8e1BlzfNQbmeS3qZh6nl+pVV25vevGOWnh1HMenIvTvRC2oK8Co1vb/ob0J\nCBPMZ6TPcuzxzG0IDJbdZ+5hg2FjZBkY4y/fE7w4WsHxadzxpEkRu67EMpLABj7WHIYEgsxDgK1l\n3W3i2tl2g19Sznt78/O9Fn1mSwzPM29i6XYYDDly5r5x3nQ6XLgAcNnb679zTQOjnOvMYUds4H8N\n3NYcFo+T+wVvciuBBPLIJXz25oXmb0YSuW8tupT88jzK/xK4ezx8nHmfzk7OQ1+70ampAaBl9MIL\npbz8cvc5vd9UhOnJO0eeUQMb6zQ4Nsw5GWpeuD8DWHxth1Z93+m020gLA8H9eZ9Oh8/8QvHxvrfX\nK0SUhtN43jHaZGXDdyt9e7hpVOwdY9ycSrLyQzEBDpxe4Nq1VSH2vNMo8hkeoZBsVL0XVM1bNh/M\nD9pP1MXy4jEsZWhYeFwLvLBRT7K8IZMGZTXA5DowQHOCMtpLutT8cQTCbfI4Ja99jAGiPfqak2ED\nYyDr+bGzMx6RHJtrBi1prKbTfo+s2vEu+Pd9qKdjzufjTFK+bPzc1gQPKbOu2fM8st5x9Mq/8zmd\nlOR9AsUaT/Nz7XsCNcuq5TP1YOrgMWCQ/beesD7AKfRGtdYV1k20x9Fbz3mKrvmPcbbOSkcv2+/7\npCPb6NTUANAyYtfkmmIwmLCyReEg9OfODZVSepxcr5R6WiQNVc0TLKV/SKuVFiCBFRn7+0OQhQKw\ngacdx8fd8W67QR1Km/+YvN4kzV5WGkI8MQPEmheZwI3CQJQTy2/ps/tNYTi8hE/wkLGxwUkl6g3n\n6Ad8qUVpMu3E7xlNshJMTw+ZQDG6DU7p7O0NUw4YPPiWqUrzoua1phzAUyv2zc15L9mg1hEYgVVB\n8AAAIABJREFU2p7XstEae3hpDUByfi6n9li4DzaiyAUREsCxjZqNH+NI+zFweX2Od3QJHYDxqwGY\nBDOzWTeWni/cO/tlfuQqoZqeyt899xLk8PLy9Wx3Okrug6MqbkMCb/+WY24QlVG1BHP+jc/J2xrw\nhg/I39pa/7Bit9XtTb1m59BL2pmje3s9ry1X6D9+cyrT90qe45TOZt17ew7YmagBoGV0/34p//iP\nw0mA0KPYHGK3x8UksfG0gjD5eAS8pshd15CRJT+Wg3vt7nYAYX292/3Z6amMSCQoc7ut5F2A6RU3\n9nyZ3BgIvhONgZd535riqS0rxTCsrw/3XYIw8F991Sscp9bwvlmC7+LkBBHpMVoOfN+ad2ogi9Ir\nZbj3UcqHjZxBG7/xCA72E/G9AAYO+dM2e+8XLswvs810lPtvuUgQ7vF0NM1LlA0UbXAttzb8/OeU\nhfvl69WiD7U55v8hy4LntYEXbcXA2fu3N++xz3smr/ie7U85S74Z7PH//v6wT5ZLwF6mvXgoc441\n7cvPdlCQM8uz+ZoAJkGjeQr58xhwTjKfEjxY5vIY6pQAHQZu8Ke2m7/7UJMt3z/7aj7gNDqNvAjM\npbzTJ5yf2nYnjVaiBoCW0aVL3bOyEozYe+SBlCxXzLRPrcCOCEqmuEqpT66MDvgdhfz1130olwl9\n/nw34UhZWTFY6ee9PfkzKlFrA8c4+gUQ43enijKVgKHjN4MVtyM9zlLmI0neQK3mUTrcbaDgqAJg\nz/dDWdKWmhF2nYABh/mQsjDGX8ua2+cHnwJsAEQG5lDNIPs6TmOlPIx526vILP8nmM/jPW4ex+Pj\n+VRXRinytzSqycscJ7dz0WfLlWtazkIGvWOvGtX4kak/Ox38D+Ad0yX+7N9O2y+uM3YtO2/LPtvJ\nQrfVgBTEnPNc2dnp+HH+fCnXrnWOUy7SqF1r1f6uOo7JjzHZ4/siB6JFgM5EDQAtI6d7MsTOfg+X\nLs0XItozt1eXwMXelL22TJOlQrG3b6M8m/X1CKSrUHwoESsFPyahlPlagLE0iaMzbkspwzoG88LG\nPD0jgBr3Sa/Hyq+UoZF0u+zF5xbxCe5qqRVHsPCwHLUqZVjPYUOcRd38z73dD8Y2d7vlWhTsugbL\nNSO1tFYqyUyRLDNqHp/kaaZY/EoPeZHRy3b6laDS3rjrvvj8pGk2GxaXU2+V0baMMBgcLTOEi8Dc\nIuDg+Zn1hoAdp0iQkQT/jiya1xkRdPtrcpBG3PNhLBKXPDHw8XVon/ViRogTRBsUEqn73vd6HbOI\nxkCMx7rWzpOMo6+TcyF1rudx7hx9GsDW6BE1ALSMMDpEE1AQpE4S4EA2IJCPt5CTyrAhcxTJ3g6h\nTyjD2NNp9/yx7e3+Xhjz2azvj0PobruXqNJf+pyT0/wxMINy8me6hv+pT7LicsohvT0DHYOBk5CN\n2N5ev8Jlb69PKfB4katX+/RmzVurGQR/L6WPEO7uDsHi5mYH1AA6XNMrvACx3DPBiOUvQSr9OTgY\nGpEaGbQ58pEy4vQg8uCU5HQ6v21AjvmY14uiJw3lVW6ZNnRUA4OfoNbFpQaaGJOaTAAQZrPhdhC7\nu/MRORt/7uV2bm524H5z8/GAN9roFLN5BjGn7Oxk9GRtrWubHR3OyTHPeWeAUwM/tIHrpuzV5CCd\nIvoKT724wvJu0Iajh7y4BpKHWhuc1KgGaHLMamDQ45O/WTfmfChlvhje7ct25nUbnZoaAFpGnkie\nwN7ReDrtlU9GJnIlCoqJKEgqDyb05mb//85Or3wzLWSlYMNaSn8/Jtp02t/b0QSOtbcPHR/39/bD\nVxN81DweG2YUQHp1fKdP5pkVSQJHe65j9QE+195Vjg98ZTUVq3msqAw63V+DWu6HoSV6cHTU14ld\nu9YvXTZ48b1KGRYawzuMwIMHfTtqr4zosaEa4wm/Ad4Zicklw/QFYAA4cEqJz5ZronDcx8DNc8cG\n2Z57pjsNysxrastIcbh93AeQxj0YF+7j+UJbPC42/kTneM/5a9rf7x0Sy7+BRc6llFn6PJ129zx/\nvq85hAek5OmDDbcfNZPGf+x9bA4loHXfbcxrMun9gJxuNaXcee4DWilUtjzMZn1tD84Lmwgyf9wG\nX9syYB1Yi7Qu41P+lsdyDYM1XsyzMXCV15tMOl60NNipqQGgZfTwYSn/8A9DZe+oBEqdd3ZOTiCB\nonaKJhUegv7wYSl/+ENfW5Sgh4ljg2IQgbF1jY9z4u4Hhiq9RxsJlJ53y7U3yf0zWlPKvNFz6s1e\nHQZqa6uf1LnMvZShkXaEJJW1FWstYkTbbRStiGpKyG03L7LmiPHlxd5CFF7evz9Uph6LlIVa2D2j\nQLmSxat3DFAcVXIf4bXTTtmPy5eHq5kwKgYbGS0yOCHqkvymL2trw2Jqrm+gCj/cB0cYHKUope+T\n54rlnYgc4JY5ROoonZ4k98GyknK4tdUZYwwcRs7OlPvouQNAZZy3t/s+4yhduNDpHICRjfWyaMfj\nIM8N1x8ZPPp9Oh2m4eAlem6sNhH+ZnE2zuj6eienHJ/nGaymfjCocz8yzVlKHbQblCRospyn7eCc\nsWhPoydKDQAtowsXSvn+9zshZkkjkwRlZqXPZHK6h1SKPWEb9FL6WhOiTTzF3ZERR5FQJChrvAC3\nLZdWenLZMDG5rfgN6Lwqw1ErlF4pvQfG7/zmyE0pvefsVSgGgjs7HUD48sshCHCkCO+XJca5V1EC\nC7xjAxQDwlTC8CS9RY5Jz9Vpwqx7sOH2GBr01AyVFXK+O21nb3826z1gG3r4QyqAPpHuuH+/4w/g\nib18iF44amY5QF6crkwFbnBN2+3lOsJlI5P1IAYCyAwRmORdGksD5N3dbmXgbNYDO2+QaOBl0Ob+\njXnojlzWjBpyb8DAvEeODCZdFwYvWcXpvh4ddWP41Vd9P7z83vPW7c/x9DUzKpgAN8nG3byE7Ewx\nn2gnbcooNvPd0VLa7bQutZilDAvpM9rrsTD5v4zQOK0K5Vy2w2B95utbb5u//j8BdDpE2adSSnnx\nxS5F3+hU1ADQMmIylNIVO1v4PelL6ZX7zk7vVeLZoliZVOvr/XGAJJYm28PPFQo2HDZkX3/dH+9J\n6cnIO2FkokRMThf7AoSYeKUMJ7GNrBU0AM7nkD5zmmRnZ6gwUH7nzpVy/fq898t3vDhHkeC1FZ2V\nk4tnGScfZ9Dozc04x5EAR+Jq0YxUsPY6Hc1w1Ail7RQB13ExbfJ+Y2NoICH6RkoAhQlo4Z3NE91u\n88BLvF37lgYTxWwPPyOkHhOf4z2d7Cm7H2mY7H1zLQNE2gVI8hjxP4Y3xyINPAAFniQgYtyoYbN+\nYLxstNwHDDwy4kiFU+DT6TCVbUDvFNls1js1OGtEkJElwB6ficaQ+kOHZG2VDXwa91qkA7LsbG3N\np92TZ/AJBw39mI7S5ma/XYjli/t7e4uaDsz5n7IDTw1CON4OqfvhlHfaCcuxdVkCz+RDyosj2Zad\nRqeixr1lRGTDStETnOJgGxkiN76Gw6p7e10dR+azeWWO2kAg8+5WpCgzDJWNFu3wBPMOyVyLugIU\n0Pnz/W7RNsZObxgkobgN2qzwrODs1fihf1krgCKjoBdDdP58d54L0tPwmFeOfuzsDA3O+npXn2OF\nmR4+bXJhbk1ppdHL8fL44NEbTJlHyEGG282XjCq6zTV59uo/RwHW1rqIiNsBsGHsiQp5V1xHFzDW\n5kmG/s1XR51ms37lXa5OymsY5DgyaDnY2+scA+aejTiGFXlNg+Z0p+Vmb6/r/1df9W3MSEECCH83\n4PQmojZwBn7MScYW4HPxYj9mlvcEIsi9U84cxzUBJgYyXulocES7cjwZ51L6SCvtZR7a8fCccAGw\nDTyR88lkuIfY+vrQwTTAyMhKKcNUnGWTY+iD5SAjMFzbAKkGbAyOzX8DcDuu5gP9sdzUdBE6YW+v\n03+tBujU1ADQMppO+432MqSMp+UQNuSJjreVEzAjSBkKRml5EnANjoeYhOfPD3cXtTfFJEbZucaD\na3EOhdf7+50R4XiMzeZmp4RRUJkWqrXNn1N5PHzYfXedSSnD5bq+/9FR96BaCl8dtXF0wIWus1lf\nJ0GdVkZorKwy+sV7hsD53UCANJKjeamQMUi0E/DgNB/AINvggk5eTj2mZ4kc2hDbAEN4sk5H0Nbj\n465NW1v9Axhr6R5HVpBjruPHnTC2NsguMDa/HCWj/67F8jPx7CEz91x4zhgeHnay7Qgu7eGzgTNt\nJC2eNVGZQnMKK+WllH5OMq/hn1POk0kfXTK/M/rgyDJtcIrbzsD6+vChpXfvDgGl51DOU+sudCBt\nSbBqvTCZDKNaHO+5VMowElfKMBqZm05a7tw3O0IGXY6u0iZHxzwXPC55D1+PeYf8wXM7F57/dnTd\nDzsddqzSyeB6HN92gz4TNQC0jA4PO+PsiWGlTl4+PSi/qMvA4+XFBCFNwQTBUBEVsffFpM7og8P3\nnswURF+/3gMXJpaXfnvJLP26eLGLZv3LfzlUJPaKSWUB8NjPxxEge4eOZKEoaDMGCX5xvj36hw+H\ntVicayAAD3m+GeOCUXI7SukVeik971C4Br7p4VlxWaFxTys9FJgNUi1ilUay5iF7x3HzzoDHBtve\np59E75A955UyLKb3NQ1sSHXCrwRM/Ec7bbgB3hsbnYxhtBw1c4TOhsJpGqIgtJd+ZXH9wUEnN/Sf\na3I95tKFC/2WBJZhQLMjoAlCDQy8k7RlwTqk9o5cJgjj+gnszW+icoDJBGfwzW25eLFva0YdreMs\nGwlsAJfefJPreZ4DrA2YmG/JK4At8xD52dkZXtMLEdAxnieuhXL61g6W019jgMf1S5ku4344PMii\nAYvlzTw0X9OxggyYEtgxBxudmhr3lhGCaqHzw0ON2PFgrRxqBYEoCOeCrVzTq7dCAGRcvjwMyXoi\nMVkcPeF5WV49g1I4f77zaO3xpTdMeo3PpfQRC6IxABP4YQCRhpjQvUP/Lr4upS/05V5439eu9Txz\naoOoiT1nKAGkDZiVTyohDKtBg42wo172/PlupZWGyOfaANBe2kMbMIYJnlCEWT/msePa02m/N83F\ni11d26VLvaw6zZe8sBHkHgAvg0EDEPrmqJa9dOTU+yNNp137PF4GabwYCxse2uENAOEp40I00emz\nUnrQRTQlxzfBrPfvSiNlAJAOUfIzASgAxjUuyWMbWhtcA32ua9lg/hMV9k7RGTVL45zzwXU6u7vD\nUgF0JLWGWaxuAEJ7ac+lS/Mpdx9j/rjv1pd8Zn4QefT4GBxmmwzKElQ5ApPn1sBNXjP1jI+z/s//\ncx4blDc6FTUAtIzsHTHxmGQGDChRVl55wmKMShkqaXv9gAILPkrWhYupCNNw2vtC8ZGywLty1Agl\n9s//3LcBReh0H0rRSqkW0chaJ1KEpPIwMKV0bYIfBwedASKdCHDCEKLotrb6KFMCR/pDxM58RnEZ\noBqEwPsEfoAwR0vgHw+unEz6VX5WilzXv9lLrR1j4EK/HD3JUDi/Gcxl5CeVJEBud7dbPfTHPw43\n1WP86RNLrV1TZhm1ogagm8el9GNDXU4WFrOM28CEdljeLeMG9Ab2gCN4xDmOCjhSyDkXL3bvGEv+\ny+vwXova2agytnke42pjnADJEUrPN95rwNPG2OCSOqjZbLgxo+vuvJ/Y/n4nF/CYa2YUlCgcdWM2\n7sx5gyN46nQdPETezp/vx9WP9nHqi2iQee/+u6Yu9zuDl3zns/93P9JxTbCTY+SxM3jPOZKyYp1g\n54YxcWrQDtn3vtetBGt0KmoAaBltbHTREQTV+V0MCYodpeuJTv2QyYYqV0yh9F24XPMGat457fIK\nEd6ZXN5IjeXzABEb4FKGRhiAkHluyICC1Ia9U3u7tClD9rnCyEaGfrHizREx10TZgEP2Bg3SMPjc\np5Shp2oQSLG6r2tvmDEl+uCnSts4OtIEb7PgF37YI7XMOc3kKFsCLffF7TDodhTHskTU8PCwK/j9\np3+aB4FuK89VoqAZoGTl77ofR1lK6R/ai2w4Umbv2ZEIG6TsryOZNjxOIXFt6igM4IhKkdpIZ8Vz\nixeURjllzADWffD42dnJiAJODJFh7y3EdTGo5nEpHbBhl3jX1aTsnD8/vC/zlY04s1YnU8e80DGe\nzzg729s9MLJsEaHLKFyuxESGGCPmih0Gz68cGwMW7utFFQmMPHedrnWECsAGTxhH69Ta5rV2egzg\nMupjGWbeNzo1NQC0jHZ3S/l//6/7jPAheCh76hiyRsATxN6a6ybSc0TpWBnYu+e6Ds/mZwo+nXpy\nqieVDWHwNII2PHt7fdsvXhyCB9cz1TwcfzawM6/SG+Y/ojaldP1iozO33XUxnA9IM18yVWBglkbG\nhs3GDcPJ+BnMotwfPuyiKni1BjO0JyMkWS9D5Moy55e9S4MilG96jBD985jUwuiAZWrR7DUnaN/d\nLeXevc4wOupHkS0AC2DMyjfva+M6DUe5EuQnH90n+OD/nepALpwy4Tc2p8SYEv358svembGcoAM8\nlvDGe9sk/xP0OB0Lr2rpTv8GH+DZ5cvD+2XUwfVhzCdkhfpD89pjjWz6M0AfkEQ/aKOjvqy2Ozrq\n9/gCkDiSZN1FHZYdGUfSmPvoMUf/DH65pleqWr9wbzuJDx/20Wrqh3Klpp0099tye3DQ9ZW0KrqG\nPtte2OFKJ5f/rfdpaylDcNfoxNQA0DK6erWUv/zL/ruVMe82KpDBjqMdLtzz+Vbm9uQwCmwcmOkS\nT+gM1zrSYI/ahdDul6+XKQffw+3wPdNA5XcrYX9P79ch3oyOZSoJ5YpXhXJZRDWAmmOY7c6UBDxJ\nL9lAxAYGb9ibAvo8g9KMGNSAXE0OLFPJowSjtagUCt0eaynD3zw+tO3cuVK++93hCiQMiPeTAmz4\n+WSkjAGsBhQG8jW5cV+TVwbvnAtvHfky+Njb62rZaIfn5O5uDzgSlDlSxRjiVNCXjMR4hRi8yuMc\nCXMKiDbbsHtu2EDneJtvAE+nesw/KFNBGHz3nzbB2wRg02m/oAI5yYgdQKaU4UrEBHT0yfqBfvua\n/A6A8WpAxuDoaAhsAK/M3QcPhtt9kB7lPDsFzLHj4+463/3ucJNGO53wKedz8pSxc+SS+eN+NjoV\nNQB0UrIByFeGRX0OwpqFk7UUhScvhKJj91MUiGtarCDdrpxQfi0y/pmuySiJr5nttfFJqgElG1yU\ngnm1iIi0lNJHhUrpa1US5DgaZcPxpOj4eLjSbjrtU0ZQLVXCuaUMjYzraXIvEffFG9gZ1ORKFYNw\nK90c1xx/f8/wfUZnILzqmgOBYcX4AZLwomkj98i9UkoZGhIbY0eCMCbes8pzEkB6fNwbsOPjflsI\nHIgE0vCEexioeE8ngyJkwKkQUkCA+UzFOBrica05Z5an/4+9c92x9DrOc+29+3yanp4ZUqIoSxwp\nQP5FIgjfgMQbkEhbCJBAAQTbyEFIHESiECDuf6IMX4BJ+Q6EuQKPbiAmJP8NbJNWZFniYWb6fO7e\n+bHysJ6v+uvpmR6R5lB7AY3u3vs7rEOtqrfeqrVW/d8n3XtM63wwUwFwqnJA2wAwPAfQb8PPs81q\nV720tJT95D6mP8gL4hozZ2aGKDgl3vvMDgl1Z7Vgn+yS0mAwAhvDe3F4T09bqH5vL/UYIKnKv20K\n/1uuT05ykQDj4PdMypXLBABdVsiFcDFqr/HiqqyuUqoiqyDGHmxdvm6WxQqiGov683GX2sYn7TMK\nRoP+QeH8S7UzIgHP/HwaV0JFMENmEAw4RqPz56YBDlkGbnm0fFQAS7ExiujKRmU3/NvsgJ9PfSob\nRhsiuuyHr6sGmt/+cTHLgjEDrGB0mZc+1sX17gPDrs9g0BhXQE9EbggKO4Bx5xkV1Lt4PDHSADvy\neZzsbRbM+sTz1cxWnwNSxwi5AjhHZL6LmSczgvWHPsYRA9iNx+fzifgx4K+sMm2z8TcL7FWnntPj\n8fkNEglJzs93x4QCo7Ozk3VEdijIqPOS/IzDw5YPB+tJ3RkHgA6/0cmAKhxgHFfLPHqKv33MEmwo\nTJbHnEOOJ+VKZQKALivz820PnY+zVIV2VXBgJWjQRKne728LhDxK6VPav+3nf1wJghU0XPZ/RK5E\nYpXOeJwr/gifoVwxLF7i73c77FIBQ19xzgr3G1yZeYg4b8Af1i7+vsiI9jFLVe78fQVyNugAe69U\nAix6zxjeUUNMfrYZ0T6W1DlCMCA7O+dBVm2rl51jzAE2rGg0MALgeddz6mlg17fi0GPgvjVDPRo1\ndqW2F0BW2SSzafxmbi0tdbf46AOXNtC1T+38ABjoL8BgTdAmf4mQmBdx0IeDQTfHhn5dWmpbaPD+\nmgdJvhIrTwkRus9hn7y6LeL8fkqMHXPScwmwRsiN3871ZB5WOXXeaA2rTspjlwkAuqzgOdT4+tNQ\nqOdFk8SKsTIFVjp9rFY1eE/6tz3xvr8/SsB0EfPQB2T6ysPqa8btYfVHWR4f5wZ1jyJnDwMalTGs\nbAE/zjkZjzORG7mo+V59wMUed/W+3WazTDWB2yymgUntQ+pUgYvrSm4L1yPnu7sZSqn7TtXx7gNi\nm5vtOYyP97yqzBdsgA2V20x/eI7ZKFZ2ZDxOZmBnpxtK8ypAfrg+orvzt+vp0D1MA32HTEacTwJ3\nAXBUIPgoc9XJ+gZT3tmbujCutV+8uhB5oH2np7l4wiFewJTH1zJaw28cNutcQ567v58buAJuaMvC\nQjc1AnC7s9PNByWpnFVzzldyuJQxpt1Piy36hJYJALqs2DurXqivqQalKu5HMe4fR7Hyqx55zSGy\nR1rDKH3tqf9Xw/ewe/tASPUUKwCp/VYNvI3tRc/oqzM/fYDhSUuth3/j9RF6ceJnH0jtC0nxf19d\nbXxteJFxGwjazDO9YZ6TTal/lQ8Dmsrg8OyIrmOB0beRMXjz5ncPA8gXhXl9ned0XZXTJ5NuF6Hn\nw8O87+iom4Df194Kdmqujf+2zFrfEOLh+dRjezv7szIhHjeH2MxKjMe5xQTbFBC2rTljBp1OIHf+\nDHXxb+7pO7aE66amuqHdWmo+V5UBxgeAMRjkeMGiVpmlf2C/zAiR9Ow+hzGlDZxJyH489Dug1M7H\nYNBNYKceHIx9eppjurl5npG0TI3HEZ/9bMTNm+f7aVIeqUwA0GUFAXTCalVaVlAGDPbAeVbEeaBR\njYev7QNJ1UhzfaWf++p6GRjz3/bIHqVcxPJc9Flf3/Rd87C2WEFEdJM6K6NVPb2+d1Xl2McGoYAN\n0vy71tUMB//bq43oAgHXGeWJoaGNtQ4846LP/WyUsOvhlTAVwNc+s4F1fS/yom1wLwInGGBAhRkH\n+t7bDkR0N9TjHY9TnDjvJFazb57P9O1o1Iz0ykoaQjYarayV+6YyctXJqHqj6oD6f0Qu015ezjbw\nvVkFkmatc1xf5+5wDQBgfz+fZzDkMXXIhmIWpoYBrTedCE4ojj6zzHiuO3/I8xLw7EUGtAfm7Pg4\nw1qAVwCsQVSVtYWF3LDTh+gaFDlfD0YIORuPsw85S4+2GDwdHHR31nb7695Ik3PAnqhMANBlBe+h\ngoOKzK2UEHIbIRtJ7x1DqWxMVZZ9HqFBQzW8DzPKfb8Npmyk7L1dBqBqsdKuQMLshie5wy0XGRHT\n8xgRMyT8XfuyGvPaNn/mlS/23K2wUVCVKavjUw2/DUkfle/+473Oh2CvmvrTt/zZz6ptdalGuAIY\nj4H71CtTaqiqrxh0cS+GcXa2JRo/augPw1rPDXP/1pypvgKLgxHjpHeOcyCM1fccvmflmgFbnbcu\nHg/Aw8PAYd/8RmaOjjInx3WEadjZaUBmOOzuos5zuLYWh83Y04dFF55rPvE9ImWGcA/f2Xj3JUQz\nfvyu/Q074tworjMbMzuboT+e7Tk5HDZ2hSR0thmZmkpdz/5uy8vdhGX0DsyQwRj967qPx91E67qq\n0WNqnQNbhf1xvhHzdDCI+NznWl7TpFypTADQZcXxdDMKFYAwsVwqQOgz8nxXDbTDEfW7PmN+Ual1\n7Hteva4PdPFdjWdX0GGP7CKvrbIBrHRCuXh/Fi+VdZ/yDBs6e6J9fWyvt7a3jinKxvWvrArvwRus\nm7ZFdL3gOl61Xy4ygI9TDDDqD8VyWmXW8u5N7AaD896n+/+yelQwyHgdHeXGd7U4ubkPTDssRj0B\nMXt7XZmvMsfzHQbhGvIwYA1gQC7bY8qy0TeOl41p33zuAz/MExgBNgetxdtDcB9sBwbcINzz2PWp\nIX/vz0O/kIgMICOEubLSzYPqc0b433JKXff2sr7kR3mlF07D/HwCQo6v8XjA6rnPbt7sPuPgoNXX\nydP37vXPe4dNPS4Xha0rSLIccAQQG4l6AQT9i3xS0DmTJOgnKhMAdFnZ2Ij4xS/a39WjJlnQFGVF\n9TUUxvdeduyNwSK6y5It5H2eeF+ohmKGg9+VGYk4r/QuYp88+ZnEKLXq/VcFV3NBvIz27Cy9bQ5C\nNANRjcZFrBJKE2VGOMDPof7VKFZFVkufJ19DGd592gbf4LfKSX02IK0ySjV8UcN7fh+/a4jiorbU\nZ1n5+jv6F8PnMJHlBQYGL9b79kR0WQsnmvKDQais3EVtYA66LfRJParG/URIw0Cu/rjtGP2Ibnuq\nIe9jEevvqicGg3y+wZyX+WPgCd9Ybi2/BnmuI0ybd4Z2fZkfDot6fpgRtCwDUE5PW5+ureUcuwhc\nVfAf0Q25RTTZuXatC5DpB3Ya534nFHMN72f5O/OU/DrvlI4edp85f8r/135zyLiyjwZT1nkkPmNH\nWMK/tJRja31U9en+fvs5OLgYAE/KpWUCgB6n2HPBQ35YgrAVsyeMWZPhsE3OiH6DhzLkeX31oXjS\nVAVuzx6vzwwMzyNXgO+tSFDA/I2XVdkFU7pWljbK9qCGwzwHincYNLjfeB9KJKJ7MG0yGGRCAAAg\nAElEQVTdURfDUr0y97eZJl9LnxssOOTj8XZ9+4BS9eIvYgF4lr1M2sXndb+T+qyHPbuPnajguQ8E\nU1i+b7auggYDGcJJhKpglbxvEPUCqNBm53MZXPQBI8uhx5HxpwCsxuO263NE1yP3cuaIbt5UBX2M\nK6wEDhHyVAGNZcG6hN+es8wtxps2Tk93j30wS8Z7GJe+FVbMOa7lO4MdlntXB4Z3ACQYe6+YGgwy\nHGgw4HP+kCnYHdpKPhNbDbAx4QcfpGzQdp9p6P1zaBP3ApIMwkmy9j5p1D8ix6o6hoBC3gOQ8q7V\n1l+WV9rF3PVKO+bS1lZjnNy/yGsFj7QJPTApVyoTAHRZmZtrW7gbyCCAVWlV6piCkNc9QfiOGDP3\nVg/dxiqiC1yqEo3oGnb/2BOLyD2ByA+wQbJCM4vizd9q3ezFkhDIuyqgqIyHQUtVvmw8R9u9KVhE\nl0Uwu2U2gPaRm0W5CLDZiBqQVdAZ0c33QiZqIjHv8v2AzGrERqPuzraMKXVi2a3b2AdaMeQGEYxJ\nBTe+pyr9ylbRp3jXOAJ9xp7/a9K05RADYLlDwWN0qEtlT8yW9IFMyxWGnXdGdDeYNAio/5M3Q93o\nC9oM6CCfhP2BmDd9q8w8VgbWsKF1U8EK4msuDu9hg8N6DIMZsMpOVIaGa+hD2u5wqIGHmRjq6dAS\nmwjS1wBHNvQ0aNna6jKNgED3JeDaq7TcV4BSDua1U+Expv2ETD0mjLN1aNXfPG9h4fx4MjYHB9ku\ns0bMCbNWvI/fg0Huel2Z1rOzlgM0KVcuEwB0WYEyjeh6xX1UtZUM31f62GEBQkk2ijbAVvYRXSV4\nUX3sffAu0+NmUfoodxQU4Q6us/c3HHYZE7MmFZxVg+rVFRXk+F3VoFd2hfah4PAEYRbMAHEPis8g\n1l4p3qivNRB06MD1cHsMeirYq8qrjwHwypOIbJPbZnBlRV5Br98J22jwRt0N0Ctgof9riArjMzub\nm91VUAy4w8gZFMC04Dlj5DCKvJf6EMKqJ9JHnAcaNjI1Z6nObdq9s5NG0ADeOWkAPSc7e66x58ve\nXuYNme3kp+Z4uA2W9QrorVe4vwJFg05kg/f6gFGzIhWY0a8k3jqnh7Gr4BagDviwLLOsHvbDLNnO\nTjekimzPzeU4HBx0+zMi98mZn0854z11flgHG/R43lV9YR1knVJPn6+svcGLv6Nf7RhW++GtJiK6\nBwVTh+okfOYzMSlXL78zAOjVV1+Nn/zkJx/+/7Of/Sx++tOfxu3bt+Nv/uZv4gc/+EFcu3bt/I07\nOxG//GX72wqvMiPQkZxhYwOIooXG3d/vho3M7vStlLAStvL0/aNR1+jVQzetTB3Tdr4Gy0IdevLq\nl8pwUUcUq+lnFCeAcDzuj43XMFn1QqmvP7PCgBYnfwAA4/f6uVXp8PzBIJfOuk9YHeKN5uhzfrvf\n7cV5HxCurW01qK1sAOO9t5crcPwO+s4MQwWLMEoYwxqydT4UMuNwgMcA4z47G/H5z7f8DDN4NtyE\nukhQNlinTZyrBbvC83d304Dy7tEoV+Y4GdkA0mPq0AIy4j6uOS3XrjWmF2PuzQjN8rqdnguAZ+9E\njQxixP1s9tgxaPNcRWdEdPvBzpONvWXa488z+NxzGN0Ca0Md2RH67Kybp0XIh/oBCiLSQI/HGRKi\nWKa9W7nnivUBDg3J6Iy19ZadPtguh4MA1vQjhxI7LMj7kD3XyXJvUFRlwEyr7/G99LvZMebpzEzT\nMcvLefwKpYKryn76XZNypfI7AYDu3r0bd+7c+fD/jY2N+IM/+IP4+7//+4iIePHFF+P73/9+/OVf\n/uX5m4fD3BrdtK6F3swLSsdeLrHq+fnuMl+zDigZYud8x7UoAuLI9rDrMQY2+KbwfV5PBRUR50MX\nTLLqrXKtD+OkzYAFkpn7kicft1Tq13/T/3V8UMIYRt9bQxj0FZ4ufU/yJP1blQ/G30rIYNbygDG2\nfFih1+dgFGyw63NhRRg3noUBIbRqhUwYsybRYiz4bcVP+GJqqskv82Fv7zzrAPCpzAIGiwRXPGmM\nE+81wKM91PPgoNtvfWxc7X/eRV/U8B85FrwHEEzYgf/NZvr5yIrZqIh2H0uej45y3xfm7OFh7kqN\nHDnUY4fE5w0i49xfGVG3heegG+yAmXEwMGTlVs3XMfPlOWw2x4AR9oJnUid2Oe7TR8xTAxczKHYC\nPZeOj9tilfff74YDPdcNZL1HEO8x0Kt6jneiWwDU1I0x8JxB5/PjUKznOs9+772c5wC5GpI361fr\nOSlXKp96ALS5uRlra2uxqr0S7t69G7dv3/7w/xdeeCHefPPNfgCEEsTIoMgQTjwrChPengYxYLbR\nd84HXgBhAAyYcx8MaoiPm55lsnE/3pfzXfb3m5LwBHa4B2VhL5TPbcioixMWUXj2Zs18VaaF4gnt\n/quhlBpSQRk5+TDiPDgyvd2Xg2FlVNk9+sIGgnc4EZx2OBRgL5dxMNiwIXV93R+1T/y5mZ/6DIeJ\n8OhpBzKzuxtx/343HwPFyyqU+fkmsycnDfR88Yvnd7at7AveOPWlLuxjMjUV8eyzXZbNoQT61g5F\n9XwNNBza8k8dRzMNdSz5HDmCKaBP33uvXQPTUQ0hMsn7AAJ9oUue6SR23o2O8FJo15exqwwJfWD5\n93jwOXMUxsHLwmkf+gb9UI08rJzlF6drdrb7PuqMbmM+IROV6aQ4ZNg3J2k/7BlAC0Dv55n9qkwM\n40T/uc5OIDcos4NIm5C3PsDI86oDwz01XEtdqY/zrOr4VvA1KVcqn3oAdPfu3fjmN7/Z+ez69etx\n//79c9f+4z/+Y3zxi1/sfshhqPY6Hb+1EXBog5UlGGArw4rqTdVjMKyUDVhQDtev57buNkJbWznZ\nMIRMFMINCwvnV3p44qIYUHqe4PRBVXZmX9w/9tSqp4QCsCdfn2dmICLzmnwgZAVo9rb6QJFBHn1P\n8eoLs0cYYytjnmHvnZCZ+6uv2MjW3CuzRX1sR1+bXC9+VlbyfkCxDajPhhoMkh14//2I3/ymtWV+\nvn1+//7F4ZrxOL1cs2U2jsvLOaZsUWBgjDzSj84zMeDnx5sf0j6HDBg7AyKfyWUZ8zxkTnhcWHLs\nnDP6jhwnMzXID8dKYIArw4pzgxPhgz1ZbUddbbxhlVh+7j2rKnjmb+4jxMW7YYYikr0DTMA6z893\n2YyaU0SpIXB0GoUxsNG3U8CYm+FBTsx4VDDhOYC+5Trvgh3RZdGdj8j427mhTrD36M/abvrecmWn\nyCyz7YY/r7lA43FzmCtQs605O8tdwCflSuVTDYB++tOfxssvv3zu86997WsR0diha9euxd27dyOi\nhcbOlZmZFDAbGRsbl+pd2uNg9Y6ZESay6e/p6VSW/twMyM7OeQ+/5iw4N8Rx7ojcWAwl4SS7iFTk\nTGAAgQ0KbUN52OukLihM+sLG0+CL91TmxKs4vI8JS1ytjGqIiPdZyVYFUhkn8glWV9MgV+aI/ulj\ntNyWGtpxKNHsBcDJ40a9MMr2Qg3K6niY6bHXbGbOQALlu7ub2zE8/3x3tR+bAcJQILeWt62trpcM\nE2kZcNgDoGjD5j7lbwNFG5N6VppX9/AMs4XVI6dtyCbX07c+iNJzj/2LHLa0PDN2tLPKP3VAlm3s\nDS76wJIZEK/yoj3Ur67M8/5UNso+NsPzzGEnAxJCy3aqaJdl1eCJ/2k3Oy17bP2M6kxWpxHwyzgC\n2ng3LJyZHM85s+O1P+lT61z3RXXkkFmDryq/Vb9UB4r2Mkdh6Cx36FnmklMgJkdhPFH51AKgd955\nJ9bW1mJlZaX3+7feeivu3LkTq6ur8aUvfSkiohMW+7B44lXasf7uE2wbGSaSY/oRucphe7vdx4aA\nKGGULfWxR2gPyOGDiO7mYKazUfYoQvae6AMEtM+f0w7n/BASc4Kq+4ZSDTXFxpTPDa6Y7DZGVuou\nZsXcbr+LvqQwTlD8e3tdgMH1ZscwBvUdBh0oNYcq3C81fBPRn//g+lcAWsfL48YzbOz8HlYsjUYt\n1BWRxyeYpeE+WEcMjFcIAQwAy0tL3ZCGQ3fU3fLheWQ5oW9gk7xE3KHHKuMVwLg/MDrMHXvZ7vs+\nR8c7E1PsJPADGHE7qAt94sRd79/j8Iffw/esxDNbwbVOjua99K2PwnAf1zw5+qHqtCpfZks9fxlb\n2EYnRaMPmd/OOaOPvPcRsgUbAvCjXpVxZvWac6DMvFBvg2Ke4/kO0DcbZ71rnejnUMyEVmfMoN3j\nVHPybG9OTjJvDPl+5plumGxSHqt8agHQz372s7h//3689dZbEdHYnb/6q7+Kr33ta/HCCy9ERHwY\nGnv77bfj9u3b/WAJGtcCGnFeGUR0DYNBArHqanAxXmtrmZjq7/tAV2Wg/G7/dqmhFSY/f8MucD+K\noTJEVbn7Gbu7LcfIjIfZLbw5e85W0qbDaSdGwsDL4bA+UFNBC8tuaRv30t6aZ8FnZhyQg+oNun+q\n4WFsbHRrWBEQ6DwD1zGiqzz9Y4Vs+XCfVFofY8Xp4cfH3YMd6XNCjN7bxAyUx8vGEQMFm+D+rAbW\nwMIMVZ/XbJCzv3/eCCAnJGdTeGddds6PN0XEYDpE6MI1ZlMAiexLRX/ZoFWvvzJ2lksbat4VkWEk\ng0DrE8v07m6GyJgTAAqDHkAHz7Axrqy2+yCiuxCEhR3u852dNMqwh5ZtWM/l5QRkroudR5gn2Mmp\nqcwnM6BkrOfmWui3tse6q4Juz0H/Xa+1vqKelIexPdZffocBGPOTsXYo2cyadaTzOCflSmUwHvdZ\nzE9fGQ6HcSbjsLa29mEe0GuvvRa///u/H9/4xjfO3bf+Z38W6//rf/U/1DSrPeXqdVHqxKmg4mFD\nYaVZqdg62ZyLYwrYIR1+bHj62ofiZ6J5Qtc22bi5nqbiK/Cy4a5K0kmCtS+qcXF9bVxcrAitHDGk\n9qKrt96n+Owp8ttt9jgZPPGdwVw1kg4duN5uPyDMn7mtriPGBEYC41MZjqqcDTLslUd0QyMRmWR7\nkQF1cZ8YpF0E+L3023UAMFTASr/5fTZsHl975QYl5N+Z4XCIi5wQwJMdmDqvnc/metRx53rmrxlA\njwesIoCQEAnLqUkSrkbbpYZzLiqAUFid6pjQPo6bMKtVga37tu61VHUC9wAyqyN1UZ/YUf1tlD6Q\nxGfWNVUXmZnq69OqG6rTaBmtugQ5Ybwn5UrlU8sAUTY3N+ONN96IwWAQf/EXfxHf/OY344UXXogf\n/ehHcefOnbh///6F4CcizhtxK1kUM8qwGuU+pXPVYmVKfaxMfY0TK6vBeJyCAcGr/yiKDa3rWdt2\nWWJxNV78vup49D3rIpZt6oJpVBVnH9ixUfBzK8i0cqyf+13Vw3TCMV43RwHUsFBEeucX9bVX38EY\nEeoy29IHMmrdHXaq7CeGsQJ7b87p51D36njYc3ab6liaHYVBcTgGkAcDdnzcWDTmIUyx5xvgw3lk\nGHHqghEllyUi38mRCTyPRObt7Ra2pt+WltqYOsfqUcplQJU+OT3t6hSXo6MMxQGoeTby6Zw1fgDV\nCwvn5yYyCVvphPPxuLstAyvanDuF3FMPO3pXKR6vWqyTDXoM+ixzD3N4DIqqo1s/Z3x+m0Dvd7D8\nzjBAVy3rP/hBrP/gB12q/eMSuosMqJX6VSf101RQoo8DiCK6DAvPedT3XVYqsKqeHNd4nB4FgPUB\nnfq9la1DmlVZjka5gsebVbofDQ4uei/sHSDAc6H2iX9zb59hqMwLq8P8jtHoPFvC82s40XWpwM4h\nJW+dgHx4OwBCTLAe1NMrDm3YzFLwLgCMwZnHjmcb0JmVdVvNIA2HGZqsITAAA/JAP/WxZpZR5IT5\nRH8QzrxI3+3v50npbP76uAxMn6F3WwyqKgMLIN7dzXCfgRB9Y/mz42rZ83zoAyWP6jxdxLIR1jLL\neBFD3SdffaHhSfmtlE89A/TEZTjshgou8saftPTFny383l/ld61YkUd0KXQ8cgOi8bi7ad7j9Ntl\n12KMnERpBsuKqnrBlD5vzu/HCPg9Bjk820tykQ8+IweHe9izxgmmroNDRw7/4EmTG1SNi+vcx5rV\ntjnXgeXlGGGfoVWZHPqEv8nL68uTgFlBRpCPwSBX2Zh9oW3cw2c15NcnK4AYGJiIBCLIq0LvHSem\nb8HART9ug0FRH+h1OPPoKPdzos7efHA47O6izgo9GG3LO8nxW1utv27c6O5x5BVnHq8aaqxApoaj\nDw+T2XlYcd4Xe01xNphXdbl/HXoDVFaGrg+U9bHUNQRYQ9+8y6wfcuX2XwRsPM6eCwa7i4u5N92k\nPHaZAKDLij0jG7warugzfBcpzprzYOPZt8fEp708LqB8GCCyYnCeQt8zHqd4zxAMZqWs699WXDUs\nU9mjiFTMlZ2pni2G18wFzwFY9LFPNmb0QVXA5AlFtPfeuPHwfnzUAqDa2+sm0Hp/oOPj9r3BDKCr\nsgv24M/OciUlBpBr2cTUK6sGg+6iA8bJq8suK+Nxe99weD4HA8aN/KG+VZwGnQYGyFRENxRoI9yn\nZ8y6eDwJMXkcas7NaNTGga0LGKe6COD4uPXnrVutLoSo3Cbqb8BmcGB9Z6fF8guo8cox9zuFe5ET\ndhYnTGj9CgCpIIY6OT/RdYStqwyvgawZUTsIU1NND5l5o3+twzw+BlEGUswPmDnvhTYpVy4TAHRZ\nqTR2X6kG0ArLBUULle3Tmn8XC0yNQcVVCsoEz29pqZu0+bD3P6xYIeK5odDJgfFPNWS8oyZO1vei\n4KammiGqtDfPccgk4jxF/jDG62FtJbeEXA9W0fSViwBffScKe3MzARlj7ERpPof5wehjJDwGGADA\nDgYaT39hIfdQob8Gg/zMSazszM5c9LL6On72+Jnfp6cJgglx1LHGMPMM5IfvT09bO+qmlwAKDN38\n/OOHP5wPVsOyzllk/I+OMpma98zMtL7e3Gx/s1qVuhJWos/sJEZkOJDtMTw/vLKPZ8D8AC77isOb\nDmc6zGWgCIAjp4qxrg4s13A4tUEPe1b1gZV6LcDRm2JaNyCbXGsmCjvDM5EV5AhWjM/tLE3KlcoE\nAF1WvOV9TWqj2AtzqR53pZXxOp+G8rgszWUFr50l5BhhK+bHqRtLY/Ee+3JUHrVeGDhvUHjZ++2t\n9eUBofwcysSrZilwLYQUvAqJjeEuAzt9uTcu3i8Fg0gYiFPR+8BaDVfg1R4cNAPKIacAi5WViJs3\nzxuACqIGg2xrRKsTn8NIANCWl9tO6D6ag3rWfWloK+yQc4wwkD7+AmYCuawhp8PD7P+a21HHvY4B\n4AKZsnwaODCmo1F6/IyrZcqfVWaiL7TE9RhN5yGho5Ar9jCamWkbYyKLm5tplJFZAzazJoRed3fz\n+cxL78oNazszkxttMvbOuwR0eR4g63zuEKjTCjjXb2MjnSQzfjynPpv+QgYtI7Qb2WUue64ZDDqs\nCwuJ/q8pELCIvAdHgHlwlfD+pJwrEwB0WfG2/Eb6FIevPPlRtFNT3WWhfi6K2asnHqVUL9yeGGyK\nvdqrFJ4NAGTis9T5SQrsAJ5tRE52cnce9R0o8L4VKo9aME54YjV3wNddBHIchrgsX4s64x0D4HxQ\nJUqQ89YuSkatMmDKH0Vtj3l/vwsW2eUc2XVOR0R3szoAQM3xwPgtLWXIzExJXxjHv+mTk5NcWo7n\nPDPTwgjPPpt5TXj9DrMAcMglqiE35sT8/HnDYVbGTgsbRGJQh8M8XsSJsxHd7SWqo+T2np7mIaYG\nJ8iBASchITblrAyTSw279+klnlkT5jmZfjhsIOH+/ZSPs7OIBw8uBnfepZnPDBDMjjqPiOvOznIl\nm1cFWv4AUAZ7tNm5Wg5xWRcgm0tLGSLb3Exd6TlrRw8Qj27ygbqAR/plbi6f73Fyv3m+eF8mh91Y\n+cfnMKGcSFCTt3/X0iV+y2UCgC4rTqLsKzYuXtGBAjADVCcHwru7mxMtIpWGvYLqLVcjh1fKxGH5\n82iUnoaVi59XvUfnr0xP5/lETMiTk+4W/49T6CNAIW2k7j5F+zJgiAd+1X0wAD2Mr59zEYvimL/Z\ngQpI/RkFA0C/sZGeryVExPjv77frULre3RsQgALHgPSF3AjjwTadnrZkVp7nVUwo44huAidAh+vc\nF32fIzcO7RgUMP4AFwwMuSU2UGbRkPuDg2asj46a3IzHyUABhGCfHsVj9jygf7e22vxEJliW7f6O\n6Do9fO+cEAxmRIJO5yW5jMfJKCCT6ItH9fqZwz4agzGGVYP5AuwdHra6ra5mf5qtMWDDiYGxId+K\nPYhcz776npy0vnVfw/D5SIqaQF0Bov++SF9aZxIKu3Ur5xdzkno7VHp8nMe8mIVFz9I+QJ37inqh\nS6tecGhrZiY3fMRZcH9zkDbPRD/cvNnY0Em5UpkAoMvK1FQaY6NtFEBdHmwP0t5ERNfTpOAF3b+f\nHrAniBV39TL7fgAtsAuEJ5hAXhqNcau5LRgjnodBog20jQ3KHmXJa0SyOySImsol8dYGFaaiGgjC\nZxeBMDM6GE2HbMyU4XnzTCup6slbWVu5+6eyQhHdPWNQrGZbnAyLQeJ9vBNZhDWz101oh7ZZzgDI\n3iPFbB5epQ1cNR4OR3jXXr/Pcm4Zd19W440MDAYZoojo0v82zoRqeK9X/e3t5W7M16+nAe0rnn/0\nYc1J4e+FhQYIADLUg7oYVCAnfO++9pxzGIjwDODPuzib2XAYpAJhA1a3kXHACZqaavUHUM/Ptz47\nPU2mMaIbgkIX1HlEGM9OFSGa999vzyAvy0DGc+mZZ/J+s4y0yTmTZk/MvNSx9NxAr/U5Kt7UcTTK\nQ4DNLiGDZtM55Na5UnZCrfPJ85ydTTBlMMTqu3v3UkaWltrO2sgQ41x1PLmTk7PAnqhMANBlhbDE\ngwddgwXQQMC9rJSCIvXeHPYQMIbT003oib2THF2NiBkJDF79sRIglr2wkM+HHTINHZHXk3vBezj8\nke3uUfqcOg9wsZKouQenp+19ZhFslL3ag2W7THoUHcCQcMr09PlEybpSi7ahfDC2fG5ggTfmZE36\n3gbGLFlVwBH5fFaibG62z31OGt7j7m4qWQOLCoCcOMmy8erRQr8Txqvg0CxbNZY2LsiEN/bkGgMo\nrqt5GPSH+5HrUfjkC3n+AHpqXoplns+dT2HmFHk9OWnyZuDmPLO6+zCGnPqSkD472z0uw7Lg9jm3\ng3cyH3gX8w359JgSmoxorJmPIEFP4NDMzydbSZ1p985OmzveVJH+83y7fr29BxnxNh8GCDh4NeSO\nPHiO87O8nLrCWx2gi2jv3FybH9VhqPkzPo+O3a45agVQdVGx7Fqn1TA2zyf06v4E6CC/BrOkAzB/\n6Tfqjp41gOF9dih417vvZl3Y64lxxo6Q/M+7ed+kXKlMANBlBYGfmmpKm7NmHDMGfJBUao+eiW9a\n2MsZUYR4w/Zm8cgc6rqIVu4LxcDcsLrDAMCGCqUPvc/hhcTnCX3xHkJVGPmpqfa7GkQ8GCeOUvdq\nTP2b95jGJ1RUc5BsKG3ETKtDrdN2wkyMoYGJAYJDLrXuEQlEOSmdfBO+J+8AxUpf2PtGhlDuyE0f\n1V+TcyMS0KJkUdbb23lvTea1QTNDZANoT9hhCD6rnrf/pj3kr9AvfL642NoBmONZdQsIQjXcSzgW\nRySiG+7jeocLAZr7++2+a9famCwvd/c1Ylxh5gxW6HuHfyoLgZGCqXFCtwEP858xIwy2uJj9w6or\nMxCDQRtTjCQOC0DUoW4MNM9AVk9Pk/FzoQ/pa5hTyyLMh8GVZcFMoJP0aT/7B0Uk6DVDU8ND1qv0\nlx0a614+g0GtIJ//yU0zG+m5ZjnnvDXG6+ioyY6Bzu5uc4yRderCs3D0Zma6bB3yzPWM28pKPmtn\np8kBdoK6A4ioE3p5Uq5UJgDosvLP/xzxv/93ThiMuj04lBSx3Ood+loUHkAhojuhUdzkMuDtcJ0n\nfEQ/BWxvysqusi3c72cxsYjnAzh8HXVFyWDgUJJ45ngnDqdB/Zo6p75WGAYmc3NdY2Kvc2kpl0+j\nZCLSEHkXZDNp7gvvQGwFSp38mROBzZYsLTVKn3ejPP2u0agl86L4HW6qeQIRXS/XQMGgkOuoO8qd\nHA4MtVf5eCktIVLLTM29QHYwctST8BRGExkgkdub0VF/wAUGDZDiUI7ZUfY7gerf3c36un41/wO2\nifAO+w0dHraVQF567iTtvjllmUImDAZdbGwNzgBBMDZmghhf51FRHz6LyPlwctL6wQmyAACcg7qq\nK+LhOXXIcU1CRh7MENd+oW5c67lF+w8PMycMPcHz6/5LBimwveRCuW/c5x6PyiRRao5lBfz0N885\nOWm6zSyZ57yZKM81wCRzFHaPvDSzwQAi7pubawwd7K0dWOrvRQaT8kRlAoAuK1DPKH57XtDcKH+S\nSm3U7TFauWAkeZ4ZHivR3d32N5MNMEF4yGyFjaTZACYm4RIrQe7BYDDJdncjPvigTV5PeoM1vCN7\nb+yI++BBerbEq3kGq3T6kredi+N6zs52w4ncgwcGnUwYBeO5s9PNx6Jf6Gvac1HYBQoeQEqbUIqw\nZZyHZI/SgNEgrDIw43EqPLM7jI+NIgnodTdfxtysGu9h/Hl+RJf14X08h/4y6HXIgD4BKFF3HIHV\n1S5Q2t9Ppe28Gd5p0Ev9OaWea3y9l7oToqK/qSNsT98ZfWYod3a6+R787f4AhNAnNoQOo9jD97yk\nfxhDv8N9a9DNuwE5AAccKC+hhv10vXg+IBDZcB9hqJ0cTz8Y5FEqO2o9Z+fCjhr68ebN7j129phz\nyDJsWkRzLJgHzH/OnjPIMVtU2Tv6ozpP7iuze4QsB4Nk3+xgeS5QqDfPIlyJU1DD2LTdToeZSIB+\nRAImGE70NEzqpFy5TADQZYWkSk9OAwu8JiagvQCYEbyciBRkDAPKy8UrL1B8gHxXxDkAACAASURB\nVCCDEcCDaXomWWUIqmfJDwwArAHsFEaWZzvRFoVF3QFlPP/gICf/8XGrK6ELFBOGyYbFAG487u4f\nAqPActmIDEfidbJCzRue1fAa7cWIAwwNBCK6ORjT0+09Ea1OrApi8ziWSzvRs+YioehqjgMGzwCJ\nEISVNWDLhhO63DktNkoo9779Tni/DTmgkzHmeV4thKEkoRYHgWLDAPC5dSuZCsbdMm9Awnd+jmUE\nOTdQNINJaKWCQPoLmaUtn/lMF0j6Hof/6BcbPRt7s0SWJRtVgIbZtRquqeEfjPrp6fnVnJaByhxO\nTeW8dsiQ+rB6i0UAnt/II89BRms9LcPUmfmPPJLTaCfFcwEnEH3CvaQd0F6+I0xkhwYw38fMma1k\nnjj/KyKBBiB0ODy/ISnj5TC7mUozvU7WN2sHMPfBtZYXr6ybnW2MMuye5d6y/LTsI/cJLRMAdFmZ\nn889SOwh87O7m4AEYWYirK11lZUVBQqTCYSyAbw4nMPuqBb4vb1cRkrdnNSJsTRYMOuB92eGi3ob\nLKAQoKBriIQ+gbnZ3m6AcTRKcAKVfHLS3YAMZWQK28/hfjNvzpliBQUUOc+2Iq7gCiXkPA+3C4+P\nMOdw2N7z4EH21TPPJIvx/PNdpeSwhPORUG4ADhRjRNd7Nsj0Sh9ocIcHDChQqlbUNdxhD72G1LjW\nYQ3es7KSBonrj466htWyDDuzttYfErbR51kYOxsTDBLjYPCNAeQ6hyJcf8aSEMJolGdZARIMbCog\nYewIu3m++Td97zAkbZmZabJpwMb88vj3FYA9rAShD+TPoMJs5s5O+xyA4XAnOgWG2WDGrAx96Dw4\ng3nk3rJN/gw6cXm5CxJIiPaqKe5nlejZWZvXyDtpB8vLWW+eB7Aw22oH0jLBuMCEe44gT144YPDl\nHzuRBsfMV94fkX3m+V6BpAHZYND0p8E/OtZh6D5APimPXSYA6LJydNSMX1WQKFA8ErxOVpCgeIzw\nUQRWKgg1MePZ2Ubdm2nCsJJ0DA3u5DiAz9JS+x8PA4O0u5sK0kmlw2FTlqb/nTBMmyO6bAaf2UgP\nBhHPPZffweCYBSOcBBBxv3HtYNBAhr26yhChZK5dSwNB/0R0E1zpGxRczW/BOHA8AnS8T6QGQMKI\nAJZgbWCoSGY1SIZKJy/HyptDHL26yWDbRsyK0MWAB5morCLjSD6OwxSMI4bGBor3cQ/s13CYq/XM\nIh0fJ1sF3e95w/gh8xHdUBeGAtkk58oePzLtvqJPDYxgRnjWgwfJppkVtQw4jNLHVFS2rCaQR3T3\n4ALoI5eV8aRvKvNjYwqbSftgJM2m8Bvn4NlnU1ZdF1gkDDkyHdEN8TFGZkoAV5VhnprKXDzC0wAM\nh7go1InxQe85XIncMydu3co6Mp+dS1nHj9A9fegQOfqthibNbBtcM//N8tIXPjcPx6rmMzG+9XgX\ndAPOKDoS5phicBeRbfPYTcqVygQAXVbYNCuiK4hMLhTWb36TmfxMNAx39dzt/fFM7jk8jPj1r7s5\nMEzemZlG2UfkxGaTM6h/GIvDw+bpopzwxBzGqPF7M1TUEQWFUcC4otBQchgWJ9QCTPAKeQ/KHYAG\naKRu8/P5blP3tJs8GPKZ5uYSJJIfsLub+R2EKe3xmZWBgVhaat6XQ2PUEcVob5P2ATzoc95FH8Ny\nONmX9pFMyeoce6v8rkYu4jxrYPqdA0UNOBzS42/ajpzjsXO9PXfkDK94air7H4PIWFSDCkBkCTzM\nHM+CMcJ4VfbRYUXkBqbO1wBqMJAYe3a/JhEalpbnGGhXI+c+druYu2YG+G55uRuqtMdfvf+aV+J2\n0x+wNOR8YNArw8f4cwDseJwnu+OEADwAAsiJGR63nTqwoSKgCT3H+BpsHh+3RPPBoF1H+Ng5fDwv\nIgEZht9O1uFhbvRXdQJ97nCv+8b6Bv3A0nSvoPJqO2TCgJb2VMaOPDVALn0V0U0KN2iGJeM78grZ\nYRzdYucEfUxKBbLFOyflymUCgC4rKCWob3t7TCxvXoWyhVqPyHtgPEytGmhEpNLA+NhImGrG4LFa\ny/Q126ajBNjHaH6+u8LABWXnHa1RSN7+v+YjoAgcq+YZKGLobfqNn42NBEecAo2hswcV0T00dWqq\nKQMUqHMu7t1rfy8uthAMfeAcIbMFABAUDOweS9fpCzMmeNZmZPiuhphQdPb2h8MMKdmA26BzL8+q\nrA/P8m+zQNznUBNsCgwiOVQ2FHipsDrcA+DhfQ7XMS6DQRpry6nl1SFX1xvwR36O+493Akjdbn6c\nZ+ME4L29LvtG2M4AjzGv48A7KmPj/w0cPEY1EToi+8E5IjVsQt1pT0Tuq+P6eNk14zQe5xJ4FgOQ\njzczk8ylQ3mMqVkUGBozZOT6AXA45NZJ1PQbzszJSa64m5vLPY543q1bKbP0pXXc3l67x/lo3GsG\nl7FA/3q+eI6iqwBvDsExfrAxTkMgxOzwck1CN4NHqA+QZVBkxhJG9uCgOU6e/5ZBxgKAZrBs2ZiU\nxy5PLQD627/92/jKV77y0b/IFDSKH3AzP59gBeU+O9uuef75rhEHXOBN7e/nGTxMKoyJDSh7QtjL\nZdKORrkMGa/THrk98xs32nXs0uoTslHIKDnnlnhS+rOTk0br46XhHcEoeKIOh61+eH/sp8H7UaKm\nhu3ZjEbtHid526ui/jAQp6etboCmiK6Cg90ZDJqS3djoXuP8k8oCAGgApjA9XhFVQ54wZxftXO1w\nGAqXtiJ3VZbMSFEYJ7+DTQc5aXt1NQGWATognGfDFkR0ZYt2cR/vcp0wOhg3GDbvYcQ1FOc8ObcE\nEISxMAOGsQKQ4wg4PLO2lt/3sZ6AEOfTecwxzDZM9DU/BncRubjBDKrrTH/BWgAYt7dTRwA4p6Yy\n98eMnFkoQlzIJJ/VHDEvIGAc2ewPkOEQHECiyj+FQ2kdPjV7B2gFdG5utm1FFhfzvso6UTeAG/1E\njht149kwgfSFmU3rH+rD5+Rv0l4DIfotopu3ZxYGJ5d70EcG7DhY6IeIzOUj5Iej2JdTaVmALUJX\nkvfYp08m5ZHLU9N7d+7ciTfeeOPD/9955534u7/7u4/+xVtbLSSF0YddmJlprAphAc7AQSC3t9Or\ntOKyAoNWnZpq9zNRvFKBiR5xnna1h0AytnMnxuOmaFDS3EOoJiKVkfcbqp4udcZAMTHx+k5OmnJz\njJt6Awio2/x8Aiee5dUQNn5mM/Ck6AuDBYxfRBcoYBhQ9igOKxfGsnqUVp4OiaAsI7qKtTItvI/2\nuzjs4fewvN5sjQ+CxAi7Pn3G2p4wjAoMCDsSY6xoB0rfO88C6AyO3A+wPU46tUECfC8snA9bMAaE\n1mAO7N3XUAYbw5nBcKjZGysCdpgzERkaJqG9hpCQcctuZYLoLwwmRhxWEOeI6x3C45nU2Y4FY4K8\neP5zL46WjwU5Pe2uDKMPMK6Ei/f2It57rwvoDMgMvNmB2KAdx485hfMCu0EY1/OfMTw6avpmaanl\nJpHPyBxZXOzmXZEMbfDlOQALxXMIoRp4G3T0MayeL7QRWad/eRb3jUbp8BqQoq/5zM+kL9A3164l\nc8T4PHiQbTVjBSOOA4Et2d9P8Ebe4aRcqTw1AOiNN96I119/Pd5888145ZVX4u7dux/PiwE2LBs9\nPc1jHTAYZ2dNOX/wQdf7qZtoYVidjzIYNIG+f7/r1RDacs5FRE58syBQ+3t73YkxGHRj1wA1h7QO\nDnK3XrxITzYmtL0bNvPCCG5sJMDCmJqNsMHAsAKgPvvZfC5tMwNiEOaTsb0E3sWADcVjr5v8B7N3\nFYhUQ+7Sl4PjkEYNiWDInP+DkbCBRIkaZNScBnuqNsb0L2ACg0ndoO/JP0DGAJ70zdlZnhtH25E9\nDDDPoP8N/ngOxmNxMb1tfsyMOP+JNtMvDisaZNrIMHZm+jCGOBZOoIeZYZ8iFwNnQp/0pUHY6Wn3\nuAnmgNsT0ZUnxpkcGeY/9aX+zg2BibUM2bEABJBbt7OTz3EIubI5BgDoJQN1AKDD8g57VyDufEec\nFd4NU4LTOB7nuVeEzDc2Iv7pn1I/mUmzDJqFcsiJvmIsahKy56HD2DBBzF3m6OJiN0HeOrCvzTiO\ngG7mC3Wg72Gw6GfPQ9qyu9sYelbnGvT5cGDr1OpcTcpjlacGAEVEvPjiixER8fWvfz3efPPNj+el\nLDe3YUSp7O424GLBxFAwyVHQ5JmYFcKbWljIEBFn5xweNkDFxLVCchIye/eY/rWS8rb4PPu999q9\nZkYwTBFd7xkFwySMyPZziOPaWk5ke+jOncKTgfGZm2vP+4d/SMC2spL9xHO8JNcK4/g4N0F0LgTj\nAJgj+Rul6bFzWMZ7x8AeOV/IVDnPYAzqyjmus8GhDxhHh/Cox+Ji1xC7YKj4m7Hb2kpmhLoMhxmW\nnJtL0GjPfW8vn83YAw6XlrqHidZwGwyimaGIZENYMRfRZcAcOsMAwiIZpPIeG1L6CeNIG/COKxNF\ngjb9tLGRbfM40tfMGfc1c5e+jWh/IzOwrs88k4YWGXSOieWK9lB3FlnU/maTRlghAytAKnUgORmD\naICFzqKdThRnhZ7nDXPfezsxXhFZT+YLYKn+MJYknpOETYga3XftWuaxMCfn5zMZH7kz40XYCdBC\nuBuZAHQx51zM5tBXgL7T0wbQInJH5tXVTD43g1TnMvc7NEbf0Renp62NhNF8dA5M5fJyhscsjw5T\nOr9sdTV3oJ+Uxy5PDQAaj8dx586diIj48Y9/HBvkbXzUBdbBxgcFw1lPDqlAOeNxOil6dTXvnZlJ\nDwyvlWXdo1EifsAHSpRcEUASjA9Ax4ck2mu2B+6kU4wHinF/vykBQAl0sPOPAE1LS0nhAuScs4LS\nR5FTRxQ1hgb2AibJdDVgycYvostIOczlEA9tdrzcxsHgiu/sOZrdMGPgvDDnMTn8haJEeWOgvBTX\nQDPifCjLHqtZn83NXOk1N5f5Uc6rwmPvyxXi+QaF43GGye7dS7aEvsDo2IDwt3N3zKjxHkCRk6gp\njIXHhmdj7AC+FADdtWvtHT7Div7l/Rx9Abj0ztHue/qa/qZuAAGDBfayYUUmcuzQFc9lTHg2IarV\n1Uy0h4U1+Ab0rK3lmMFksDkr8saKSEKNzvGq4VaDCP8wv2FhGHvaBmPCSeg8jz5xmA8QzlxnPHHw\nHMba3k4Qwpze2Ih4++3MYzILCVjjGeTPoCNg4dCVsEJ1XtOfyDZjFZGgfmOj6RO2HkFOCDF6bzRC\ngcxVs6XoKY8TfVt3+nYdkRueDbD3SkBWyE3KlcpgPK6u5ie3vPPOO3H9+vX44Q9/GN/61rfiq1/9\n6kf+zvU/+ZNY/8//uZug5hwFPD0m5c5OAwQk8XH44vFxY4siEjAxCfkMo+fwBxPZcW2MCWxSROYe\n8D9sC56mY9S8n994ZAAb7kd5eA8cJiNK3oqJSctEh+Ug2duG2V6NPX5+UMK80//XPjMTgcLGkKKc\n+tgaAx6Mhb1hg7iIbDv7GNFm7/9B+zG+EemFO0nVYRXAslkv5Iw6kNdDOIHcJYMZDOzZWdfrj+ga\nLNP0laWL6J69RR34m/e53xyGQDbo85qzQn85v4QxNdNmg0pxvslolM+M6Oa38TkyjOPhsBl9Rhuc\nk0M72OeItsAseMd0rnf4CmDj1UT0u1eA0leekzABBhLUz3lZe3sJMqgDP34mc572eR4jw8jf5mY6\nEA6x2Olz8j9j6JV5Bmpul8M2JK7jZKG72EuIcYBtZ75g/NE7nkcAV4M9+sOh9dEo2U+ebWDOGJrp\noj0wnIQt6SuHNhcWcpEHbakhcsAOc4F3Un/Pn5mZJr91XyXqcPPmBAQ9QXmqANC/RFn/kz+J9T/6\no65HazaFcArJeLANeB2cFH56mrkYUKpWKN5TA+Vp44QCITHOoIF6GOhEdI+gsKcP/UqsmXdCS3vl\nxtlZJhsyIVn2jjEHbPFuwmNWAg6NMfkdS4/oMlUo1po86sRYU9K0gzrxvIgu0+It/21cIlLZO6zm\nZMaI7B+zH7yLOD5JnDYOKFue49ARhszsECEVZGdhobsLLmNJG1GOABuMvHMGfC9UvAGJw1UYP8YN\nBc53FcCZTSOhGsNp9g55QckzDrA85CZRYNcwloNBrmyr4MfG+v79zAPiO4plB+CCDEXkXIKZxHCZ\nXbWcenzpI+rqXC8bVUAzBpbv6UvYEgAUsk2op+aqmNWqTBp9ThK4++HkpJtXZ2eGZ6KHYDAd1sPJ\nMsvIuAwGycggD2aJIpIBWVlJWfMxOehZFno8eJDOhFlBA7aqGxhb2BTGgTApLD/ACUbOeWDMR+SV\n+e2NJakvss2YEdKDYeVerjdbV5OvHYblXieoP/NMA0iTcqXy1ITAfvzjH8ePfvSjD/8fDAYfzyow\nBNg5CggpygnQwzWEvba3U3HPzeVy5F/9qkuXO25ug+5kYjM79bOILpVvj6wuCcUoskEaLA+KmeJ3\noLQ4XBLjx/s58gDFiIdLCJD4v5etYozxzpjQsE0YACY/IT8UNcoa5W8c76RMK6OI9g6Mh0FkRDcc\ngOIlLGdK2uyfQR3s1o0b5/NeeJ9DiF6pYkbF5405/ANwcE4RCp98FCdZRrQ6bW6msgUA2gDYkzXQ\nr7JgIwuARmaQcfLRCOEapDnkarnFm2a8zfgZGGI0MMRLSzkG9PfJSRuz1dUuE2fGg7F0+2DPmKN8\nz3gyFy1rOA0R3fkDaBuPM9zBSigbNN5DOxhPGC5AJw7G0VHO2+3trnH32MCwAHi8ZxByY3DKUScY\nVm8ZwBihR0i0BwiwqskhUdrLWOEguv8BeeiG+/dTL1UQSZ/OzkZ86UutX7a322csZrAc8MO9MHGj\nUZsL29v5GfsTsUUAzyQvCf0EmDYrZ8BTgScLBPb22vv++Z8zSR1ZXlpq76bvZ2dz00iDI2+sybgy\n1p6nk/LY5alhgF566aX46U9/Gtc+5o2f1r/97Vj/t/+2S7fbe0RZWRBNQ2PonQ8RkfkKTFYUhg0z\nTAqJfc51sHfuDRZ91IGZoNXVzDvA2I3HScECGgysTKXDZtk48g48VeoDKITlQaF5eT8el1kd+tYe\nsnN2eCfMAeFAJyhi8DACvtfJiu4fjK1DIhFZB+rF2PAezjez0QC4oiQxrhFpcCwrDgFiTAFpZtnw\nDmk7VDn38U6HA52/5XCIvXgzbM6Dop2WXQMwzrby2FJHh0o9V2gn42CgRv+g+B2Opd6ACrNwDicx\nRwC4ZkEcgjHzc3bWjOLmZndPFstWNdwkZBOGpp47O92+YJy96g75ow7kADk3qa6GBFyS4+MQptlf\nJ0TDpHBGno9yQNYBljgJAFD0DX0FM2cWh3ECWHItIVgzNDg3fjdtI1zE+BGecu6jx8E5jCQVw9LN\nzqZcVqYQ2VhezkRjWFN+KovmHCPazBysutybrEakDhoOc9UsOZ+HhwnEqL/7BVC0tJRjbtaXcnzc\nGKAbN2JSrlaeGgbo9u3bHzv4iYgmfNeudfMxnKNQY+VMDjwLr+6wl10TER0+woBhBJn83u/DXirv\nRKE5vIPhePCgKWhoe5+9c3aWuypTbDxQ2lNTCcIcSiLkE5Hgj8MYnRNAf05PNyVEgqnDiYBBK2D6\nkVARVDJJlPfupUFA2a6uZhKwAQP1gbVx2AxFbEbBuR18R8Ezc44RDITzeAhbIhc2DiSSn5zkSkAM\nCcwNY8p1BhI+iX4wyDwK2DLGAFklGRjjgnwgkwYsgE0bJeQN+eN6jCPLnf18nuMkcYfYAAZePo+B\nAiyzd5RDNIwpxm4w6B5lYobUQO7kpLEx9+7lbsPLy201FvPMqxoxZjg8BrFsPWGGY3ExVzMeH7e5\ncO9e9rH7kTnDnGYeDgYJsFjJxzPof5hTZIE57YM+YaKdP0JOmp0dA1KSrP0985w+JNcFnUjIiIR8\nxgewAbiG8eNsNLZcQHeR2A4gnZ7Oa2EYI7oJzwDBjY22jByGbWWlzYf5+ZYrQ64PBfnBUUHGnc+H\n7NopmJ1NUIW8wPhYh7u+gDF03LVruSu/nQOu291tfcCKXecm8QNQmpQrl088AHrttdciImJjYyNe\neuml+PrXvx4RLQT2wx/+8KOvwMpKbioWkWyLWR8mysFBbkrFigkmOIrEYQ+HDZyDAQhgwnhvExtS\nJxEfHeWhrYAyJwnW3U2Pjhrt7P1MaB+xb4eX3F6Hk/BwACZOoHVIzBPdtLFzQJzXYubDm+WZrcLY\n471iUGDTNje7Rph+8koYxsEeJwncDnl5aXcNhzof4uwsY/4OOwFyMV60G4aG8XdSPbIWER+uusMo\nIm8YU7znDz7oLnvHiwVksKu430efIjeMP171jRtdYA0o9HVmChn7OkfsNddcF8JphIaZP4DVW7dy\ns1BArEEIKyBpA+Ep56cxVsyHr3ylPZdwLfIFc8bYIGeWT8A39SNRFQ8fmYno5tCgBzzWzEmzh8gx\n4IpneJ7RF86xct8wJsg6DhR95FwZr1ajOKF8PO5uAbK52cAG2xgsLDTdR3I2QOf//t98HnMe5geZ\nYGwAFScn3Vww+oVnI2f8OKka0DQz00Du7m7rL47dQX+aHQccwmD6sFzGys4uny0upmzt7mYbkBVy\n+Ah7MXcZW3QI7+G66elk7M1WozsODjLHbTyO+MIXYlKuVj7xIbC7d+/GYDAIqsnfg8Egvva1r33k\n71//9rdj/T/9pzSKzmewksEzsPGqDAr38TcT0Zn/9ja83NOTKqLLeHhSk7B8ctLdpItwGgl/1JmJ\nDQ2LkiKvycd1OFRDzgTeJBOTZzpZ2kbdRtE0eg1PkVNjEADljbcNe2FAigFHIQGKfA10NMqvhma8\nCqOGngCSBjxuM3VAPrjeyhdWg/6jbig/QiKWEcAHMoenbsMHe1CZx5rXw/NgAwxovCUD/YtRQhHT\njx473gdA4pm0wXOBtiBvgAHmklfNAHQBb2b0WGDADtoG2Wb6eDfGE4DC+9nzBQDFOJhtot92dnJz\nUYAo88ws6v5+uxYwXHNrxuPcRJQ5hww6QZ45QH0BnAAh5od1j4EF99uIuxggEYJBPqxznMx9dpZb\nWzDu1Jd+ZqwjUp5nZ1O/0QZAreWi6ghYNjPnhLYIeyFDsL6EI+3sWH86eR1dRzvQhc5H9DJ3J++T\nH4rMepsPgFtNlDd4o60Ov1sfGLAaLHEfzs2kXKl84gFQLe+880688MILH9v71r/73Vj/L/+lG/ow\nqEFgDUJ8rYUWJeIwGJPJwIoJ5LwFe9fOZeDaqvzG44zHU1+eCZizQWIyOr6OgfEqBIw5tDPetsMs\nnrwYWupNG2tOlT07KxArLXvoADr6jdwAwNbycuY+YKi4zjkaDgWYKbKXaIaHPImIDG3xwzNtwMx2\noahOTrpJ6F7pQjsA0TYE43FjHba3M8xF38/PRzz3XCptGzqzMP4cwOzzoGoiNLLNeLMHVUTr49XV\n3NzODImBg+cA8kZSq7dHgLWBCWC8+d55VoRzFxczBw05nZ9vn6+snAcOACVvUcCYwjIiR2ZimAfs\nzUMfezUPjIxD0iTfAjBhBPf3cy46IZ7553lNPTC4MBbOH/H8NlMKCK6hXOsaA1nAvvOPkEPCM4NB\nG3vrHOYWINo5TMylDz7IsBXhWzYxJAHYcx7ZNnhgx/q5uZyPo1EDsIwlwNkhTEL4yBBgyX3rHL3j\n49zsE3YLOWS8d3ebHKJHKqNf5cF6zmaXsUGv2yH2XEQ2fS/brEzKlcpTA4Du3LkT3//+9+P27dvx\n9ttvx5//+Z/HN77xjY/8vev/7b/F+n//712AwGRE0L2XDsobqtiGgYnFShiEnolpatthswp4IrrM\nhA1HnTCm3L2hoD0te20GATzHwAVjjnK2txaRBh/wFNGuQVnhicEuUSfXnzIYZBthro6Pc9UE3k/N\nVfDKN69Gga1iozSzY1Dz3q+nD9BSDBbN7vhaK7DxOBO/OTOp9rFZMG+iifdLnfFykRXyb6DbGWtY\nOJQuHj55KSRx0zcOVTrXiP4jOdvPdF4PYwDgMBA0a2RvnLAuIczxuCl0VnHRH7CUZlbs+ftaZI86\nDIe5dxbAEibI4wtoiMgcLIDK8nKTOYAHBTDIUmi8ckABbSZMRDFQcQ4XgAYnxXPPfRbRzffxpqjM\nw4jUUfU5laHjN/3puYPD4ZPUKQbMdu5Irmasj47yCB7GnBym6ekcV2SF9xJiQ/9GJICszsHsbAtp\nOtSEnuYdgBr3kfPNYCQJ6+OssQ0I21Gg/ziOp+pPOzYG/2Z9GA+zvNURrYydx9A2ZFKuVJ4aAPTS\nSy/FW2+9deH/H1VZ/9M/jfXvfjeBDQrPnpW9NzxUJiuTASPrHIq+iYMysdfMczxUXiGDknUdTC1j\nrFhp4rrxDHselarlGgxkX6n5Bk7YBfRdu5YrdJzbY0WB4nBfoNxYLuwVL3xvTxZ6nXFwfou3qXd4\nhD4F4DlU5qRSs2YGCSgxng1QQYni5QLqYAzMknkVCYoNIEOSqfeOwful76gX78OYRnQT1zG+UPSM\nq5kw+gcvn9UovNtjzLXc5zw5gN/WVne7A55D28kdm5tLQO+wH87D/n7m2jjfx6wp9aEfI1KW+A7D\ny7PpM3bZPj7OFVQGH6NRA2f0M3Whznj9gAnmPkv9AVms6uJ6H13CfcxZb+NA+7gGoIy8Mo+ti6oR\n5ho7MThlDkPhSDAuyExlC2F8qJfB3cxMzikSt3d2crUegJz+ZIwBjMwfdIwXOlAXgCqyBKtoYEmO\nFcwr4+CVbfTf3l7W0W2CdTo+ziXs5HkhA8iJwQzPYD7AQlf9UVlbO6cOdTs3c21tchjqE5RPfBI0\nZY0t4S/4/yMr778f8YtfZBIb5/ZgDFC8eL1Q8RHpgdtLiEiD7Qnq4ri7EyhR9o7H+xlmb1hBhKKw\nEvGKFQMrJqzp2OrRoIz9XteVgteFoYloSdrvvZfGwdQ/Son3YzToG1iLq/8osgAAIABJREFU8TjH\nYmEhDQ/jgYFw0quVP+eNeZWHgRrjeHLS3keyIQYGQ02d6TvyaRz6OTpKipyzzzDSsF7efJLkcZTe\n/n7rs93dNJj7+y1vhOegSA1AaS/9zjtsXGFNvAILwOTE6YgEBvQP74buN4tCmAKwNRw2Bc2qIuaI\nQzZO0KeuGG6Mo/d9IRkWNoFxIdxBX5rpZJwd+qJtDiWNRrnTtttGLs1g0D2zCjYsIo0h7AVhN/JJ\nbt1Khoi2oitgR1jG7vEwuwYwpG8Gg+4cn57OhRs8x+EgQkHen8isUEQaf2SADQgNNJ1QDTNYwefJ\nSVu5BlCMaNevrmYSOWwwRt0bBjpETgjWwIDd9p95pn0PU3py0oCB83Pqqj5A2/Z2MtM4t2wfgGzS\n94RcWSjy4EHqWDtoyA7tNRuEY2SnzDq2smnoXBgopxlMmJ8nLk8NA/THf/zH8c4778TLL78cf/3X\nfx0REa+++moMBoP4zne+85G9d/1b34r1V19NQXZybFVwCLVPf4/Iieu8AcCGk9/68i4wBrAJdd8h\nTyCHc3iml2OjoAzEmORMOuprsXAoyB4kxsnUOUbVgMugLaKbVMw1TGwSDh2+od4GQ/aI6S+UnROe\nobbxAgFWAAfnSnA9/e5EYlgnPFj6HENAeAU5QMFjVMyUVNqbvrHhx1sFPGEA6Bv6Avlh7L3c3Eul\nzXoQAiLsBMvFe2rCM6EWM2G8jzATYI5xog6EjM7OMmwFEPIcwUM3C8m79vdz/xbAI3KMITw+zmXB\nyKe3auB6EtDpK9qNzDCOyCxMGnlHx8cJsGALmNPemfjsLDenZMUTcujdpSlO2B8OEwgQFkcmADUA\nH/obOYKlZhFAROoMlk4D6Egk5j4O1fVO9g7RO4fNLJPBJnN5PM5xH48bA0h4c3ExAZhXAFIPgG4F\n2ABz+oCVlt6Pi5V75IjBspnlpCA/tMf7fqFjYAYBpICkiNSbDkdVPWnAZjaH9nh/Jq7x/PO91IsQ\n795exO/9Xp5JNymPXZ4aBujLX/5yfPnLX46IiJdffjki4uM5EHVpKeL559NL9IRE8REnjuhSnl6l\nBc3tZb9cR3Esvsa38fxqompETmQbb+cXWTnhqaG8ItJz9AnQZkLsRXKfgZqpa8fRaZsVNXUlARiW\nx7koKEM8LO41Te++oO9rmMMeIwZ4OEwwCXMHqOU+sw/0NQoKBcZ15DmxmscGir5GsZoxNPiLSLbn\n8LB71pU3Q4SdsJfosBn1Q8mTDO5wFNfOz+c+JAAZ+piTuBnXo6PWvl//Oj1n5Jc5gKHmWWY/f+/3\nEnxgmB1SgcnDywVIAiJu3eom+CMv1IEQzf5+9wgM5iIy4jADhpvcMnZD5h18ByA6OmqGBtkk7OKV\nlrSNMSRf5vg4WTGMKcwORp7k6goyuYc28L3l3uwBLAH78QAqAKLvv9/ACAc8cw2hPc8L+mE4TAeA\neU9hOw3mj9lmWLLFxdxjif2Xfv3rBGTI/+xsnmsF08lYWifZaZyZ6W5+eHSUzNJw2Oq2uno+PG0Z\nsnPLM+w8OtfOIU8OSWU8ySljvrNKk7FEf+Es8A5YOIMkfqP/aTNOjBcETMqVyyceALEPUF95/fXX\nP/oKbG1F/OY3TfDZSRnvzzkXDgNEdPcfgVLGe1xaakYG4+kQEh4rHqJzG5w/YXBlRggGIKJLlTOZ\nHzxIY1BzbvDE8L6gwDECpmrrCoWaE2OlbHCIYu1LeLZnZO/IeSBencP1JCVSj4iuEkaZUD+MLfWj\n7xyj5xkYCPbW4R144xg0PEaWBo9G3SMo7CHaU3T4kR1jORbCiagYHYeh+LEipN9RtsgCY2Uv2CFU\n2mv2BdagjhN9ioySj3R62mSbEIITcL2TefV0YVDrHlL0SUSX0fKO5LXOdZWT5wqy4XAK84kjT5wE\njQEy+8V8BxiMx8mkGUTu7ubhxzCJ5BUBjAFHPIcQMWDFgMYhV/KykFXGwcwuegRZ39nJ/Dc2aYXd\nILflV7/qzkUAmPOCaL/nel204TDxBx90d0U2Q4681hwkH04K+CR8zUox5r733hmNml597rlkhgif\nIpMRrc337iXr6LmDg0TI2HJ6fJxOmXUQuUOshmTTyvffTzllzjCXcBTRWwBrxo/+Zyz43AB+ejri\ns5+NSbl6+cQDoJdeeikGBhYRwT5AH0t57rm2YZrzX6CyCbn0sTTe3n5xsYEnn3MzHOYmbOQcOHHR\n1KpXetmDQOkS0+a5MzPnk11R+nVPHzM1PBtPFsofL4VJ5yWkjAPeHt9j5Aww8NgBY06odTjQ4T0M\nN0reTBH9y7UGJzwH40G/oIQrg+UkbK8o8mZ4BkDT083LhlXy8ltWb5mt8h47tAEDTMiB9y0tZZ4B\nRof6cT3MgYEvxpL8BdpuhshhDOcOmdnycn8fmIrRQa4MsKgL9+zs5G6+GA9kDeMIOKF/dnYyZwrA\nsLGRbWQMV1YSNPG5nQFAicGsQSF5SdTHuSHvv59MKQCQNmFQYUjoQxgU+sX7Sx0dNQdqaqo9EwDo\nkDMJ8YSAYcjIc6vvY3zYfdjhPrPC9P3MTGOvKhvNd87FIlTHuFOoLw4J7IbZCq4nYR82j13f/VNB\nFOCc9sBwMG+2tyPefbfJg2UZOWGe0s88F3AKQEfmvX+RWdS+ULVTEAwEDT49JwCugH6YcWQDPWlm\n3itm0cf0lVl86lTTCiblSuUTD4BeeeWV3s9//vOffzwV2N1tB9l5pRJCi4fgMMDubhPWtbVu7kZE\nggEnD09NZSJeze0xAxTRzfUZDHKTNerAtXV1Ae+2IcbYojxQjiTbUghloCyYdCjXygRQTyY8HhZ9\nZBobpee9hQAZbr/zJbjH9eI+2kD7MbwYN8Ccc7c8HtTbCZGDQa7Eog4zM+17vNuzs1TyhILsxTIu\nhAJR/tQFtsBbJIxGucdHXXpuJsThvVu3sv2MM/krGNHt7fOAEhmI6HrTc3OZ2GmK333LOCEPhKNu\n3WqfbW21epIj49Cq8ym80sjhS0Ad8lGPouAaWCjndTF2AMmInEvk9vDDfeRHPXiQwAYww1J45hvM\nUGXEPF9hMAi1AZQd0tvbyyRzngkABsghw8jo1FQDVrA55Paw1QJAwPlfzuuh/+xIIRujUf+GrgYQ\n5MFZVzEe6BmAQ0Q+H4BBHzHe6AQn0FcGiHE1i0tbra9h73zUD/0Aq1hDSjCX6BUcBeQVMMP/dlLN\nhjv8zAabDjPjGB8eJkuK/kP2zLKRJO+0BuvISXmi8okHQJQ7d+7EG2+8EewE/c4773w8p8HjeXAM\nAQYGgxLRTaglfGSjYuqd/2uoCA/G7ElEN/SDgUX4obkdNqN+NRyEobcyqFQ6IQCWp6L0fD4RbBNt\nAEjwTlO7hN+o78JCGhGvnqE4JBfRVSpmgxzn93UYZOc+GbhStxoawtg6Du9DCNlfp+bbEAqZn8/c\nEx97AbPlHAOMkWUBAz89nSBiNMokaodEYQoYC4feDOq8R4xzZxgXh1eQCQr9xPXeX4i6wgIwnjx3\nczPPMiIswFJy9mDh2ST60h5Ciicn2QcRaQBJ3I1IY2DZBYgAKjc20lDbEahhZd5hJgYgQNI548GY\n1RARcwR5w4iyb4yTepmjMGQkXwPW6j43hPJWV3MsDUbZ0+nGjcyXAgzSXudfWf8gxw4VUgDR5LSQ\nr2Vnhb6i7SQ+szkfbWFc6S8Dbvra7Np4nAnmbDwJy8x9AHOedXzczvxila4dQetX62k7B4Do99/v\nrmIEyKGDAfwR3RAa7bTTg42AuaXfvEINZ8NMXO1XdAD1n55un3N6/KRcqTw1AOiNN96I119/Pd58\n88145ZVX4u7dux/fy2dmkqWBdvcuvN7XhM8dnrAiZ6KhlO3xkodgwfdJwdUQYjTxdLyU3ADLRgKv\nysm5NVmb1Ss8DzAwGDQlzHWACgMTJynae4ZW39pKsMA1pqLdHzZEBpEOYWGMzBLwOVS6z/Yx0+O8\nA4Mb5yrhCdrjg+Knf1kdRp1JgMXQ8SyMNgoPKhx5wQOtTJXzZpzjheeP5+gwIOzP0VGyAhhMgBuK\nFlANS2MmzXWHkSCUt73dWDAnizOG7KFjNsWAkTyZzc2UbcsD+TTIKGAZAIU8nZyc38uGej/zTMS/\n/tcpvzBSGFYADuAOpi8iHRjA9r17Cf6RT+SOXae9r4wXEHiXacaJeQXzcHCQB2Q6VI3MIPs8g5VA\n5F2dnjZHbXe31WN5uZs7xHyHKaqhYHSUw/wROTZerMBv5AE2hrGA9XaYy04J9TNLjFFnrGGiT07y\nHK/p6e5p86NRhosJieN0AWAAzMgRgOP+/QT/OErUZXm5hQxhrMmfYhzNQBIqBJw9+2z2NfqBPmR+\nHB83kGVZ8vEbPNuLVPjN/Tg5U1OZOD4pj12eGgAUEfHiiy9GRMTXv/71ePPNNz+el16/3oSayUSI\nCzQPRctk8rlJ1fCZ2nQeAN8DBGwcAVfOd4g4H+bhs77Qk3N3MDQRWUcnTKJEvKLGMW+AAO92rBwP\nl8nPcl+3mXAOht+Mkb36ypBEdMMdNuYoFsAbjIUVMEoJhUmOB/3ufW8MVDASGMPDwyYTXOuQB1Q3\nBsrMGeEVvPOtrWQdvPLHuVzeodaeLtfi/fNsxhdjTjgOTxQjYraLOgCuMNi03yznYJAhMTMGDuei\nlI+OGvDZ2emGrhg/s6bDYdewcD+AsrJVzL9nn005MvNmD/v+/ZbcS4j52rUG4nEu3Ia9vRZWIhTk\nfKt/9a9SdghvMO/MROKkMB/NxJLcjifvrQNOT9u7GaeI7mofQCasBHljw2F+98UvZtvG42RyPU/M\ncvbNIeadV3o5pHpy0mTXLBKhW+sYwI6dLNrp+VCZZurBQdK1jmtrOS98qjzzGN2yvNwAMKfLm5Fl\nlSL1PDnJ8XTOI0vtP/e53NDRjLLBG59HZH2Z+8wJ5q3HxPmV43EyqMwLAFt1Omn7JAz2ROWpAUDj\n8Tju3LkTERE//vGPP54l8BENqf+f/9P+RlniWeOtVzBjAFKRP8oHWtVeGgbKZ9dg+NgILjskJ489\njEpve9KhiOxt0SZCX9TboRPCAOSfACbsCXlPGAyblaJzaJyDAHhw3oRDa/7MihBvnLyKuvmkwRTP\nsAdPfWEB8OSsaFCGZusASxhmWJP5+QRIhBQcMkVhYZzm55tyxntljxHCkDXcRJ8hJ/QzXilLnekf\nFC5GEwVL3o0ZLPqTfmZcuQYlDGuDYqZtBqwOTy4uNgNCPzLGyDntRqYwMM57cCiK95ydpXF0aM9h\nrc3N9gzmHYm3GxsRv/xlzl/YDGRwcTHi85/v5r5QB4d4NzZynJEZAwuMMe+PaAbZh25SaDN6hVVb\nW1utHcxj5jThRJwDvv/Vr9KoAyoBUGzOxzg5lwTdRjuYDzCdBt7ei+zgoP1/40YCXANsgx3u5wfd\nxlijU2AvFxfb9gnIMeHGvb3UKfSJdQ5z0KkFOAcwVYNBMkNnZ21MzE4CWtnzi9VcCwu5yaQ3goSp\ndA4jTjDjafYZnWR9bZsyO5vnjNGHlivyxMgBnZQrl6dmI8SIdhDq9evX4/XXX48//MM/jK9+9asf\n+TvX/92/i/U/+qOu4mIykrSIoe7Ls2AS4CEw4TGyPDeiGwNG4aIU7JVwrWPzeMYoMorpU+roujl8\nEdGdoAAOJnpEl5al7t7LBAPkcIx/u3AN77dScT6QgQ5Jm9SVPAvvYQQQjUglSZ8ZpFhBm+kAJKF8\n2VStxuYj0nihvFCCNe9maqq7NNyJzIASh/0sT4Bc9x+5JWztT10dyjg4aCEq+s3fu/4wA2ZmajgX\nJop7aDcyhMJfWWl5GITm7PlbxjDeGGbnvlmGAdXIAkuXkTF+NjbOOwEcnOmdu0ej9k7CRjgY3MOq\nIfra9aH+MDvIg+ehQ5V49ixfN6g2o8LcMBBFdgEkBmBci6w7b4dQdESXRaUNGG+zazBoLFUnLEYC\nPnv1MM7IBNuC+DnMaeSR78yEeZyY695PCZbRIXBvOri9nWOLnNCvzD2HH5nPBhH871Vw1Nn9R0jT\nuogQr/MYPeZ9bJCjAsi0GSSDnP391v6VlXSyI3IceMfiYsQXvtAA6KRcqTxVAOhfoqx/5zux/h/+\nQ/vHoQZPehLzbNBtIGB6WNWD0ONpRbTfoH4EnMl661abDJxujrGwd+mYswGM2ZMaPoroemSVFsdQ\nmTmhAOxsvOgj/nY9zBbwbD8LJeHtA+hv9ojx5nnkkdig8z6DC4cKUdym3q2MCQEAdDmGYnGxe0wF\n7XO4CEWOMcSwcj39SLsxmLTJhh3ZOjrq0uFWknjn7OZL3SIyhEloAq8SmQMQOY8FpoD3Hx1lfgrP\nRg4Ac06axbDSjzs7rW7e54b2eYm0x4uwE+9zYixABgOC3CPThHuQp5OT8wwb85GVRrzDm9bRB/Sz\njTTzBUBIe5Cx2dlkwAxEYRFhHJkLDqnwPEKxzstD1jCaNaTlHCp+A4Dr/QYUgA6HqwBahPNhF81G\nAupgXZj3yJpXUFFn2Be2EuAe6sz2B4SaDPZx7pAxQElEt+4OsVJPh7n7GGTaOD2dzqll2aso0YfM\nTTuj7EBOG5xuwLwlx8x5jA5v1b4FkBICdc4bCfE3bjQ5n5QrlQkAuqSsf/e7sf4f/2N30iCYTEom\nCUoP0AO1ikeEIozoKsHT09yx1ydJY+A4JdlUP8aTpEa+NwXt8Bs/Bh94i7AqXtaMYnRozsbcVC8h\nMpSEw4HUFYVupQ7jYG/Oio++cYiiJgZSD4cPqB/KkkJ9al5PRBd4YCBv3crVLNTn+Dg3OGT3YK/s\n8YaXPrSTfjA9DiPAiimzhRhL77dkY+UcJACHFTgyNz3dDPLGRo7T8nI3lEZ/AnJ4PvLHsmIMihlP\njMvxcXezPWSQUnOUMHTsru4tAngmYwaYNXOHcWKcvRABY4OMnZ11QxswDIQiASeWWYNJMxv29L1L\nM0aRJFqzE/SZAQHMHSDEBdbHrJzZCmShMnqe9/Q1deU79qeKSFml72EmAX2AYjst1I36mc0D5NjJ\nQufRL+RR4WRQN7cNsMJYRHRXOdphARRUAMcPrJJZcWSQOc9z0NeAZfSH860MQPmfMSJxG3ly2Jao\ngdvrFAlCdF7JSl1xDJBJQoHjccS/+TcR//+EhEl5/PLU5AD9i5WpqZZ4Z5YDxY1Hs7ycSsWrxJgU\neBSwJUwgJ5CSiGfWZGEhkxpRLDyXJNMHDzLXhFARy5IxJExUAIonMR5HRLaPiek8HECIgYfpchQn\ne5h4Ap+d5VEiePsRyQJYAXupKe+mz5wIHJHgibbMzjZvCONCwuNgkLvTEoY8OMjlyeR1YcBv3uwC\nANrKszgNHIVFGJH+BjTBUtgY0Xf0NTkNTlCdnW2enROYGXezNzaOeJGHhw3sEL5CJq9fzzACfcaZ\nTMjO9nYCMBQ1VDzyVJUz1w6HLSnZeW2ANcaJvBwzLQbNBtU2dhw0iczgnfu4h42NlhfD5nH0Kfds\nbaWMcZjpcJgMbA3bwj5aPjGUg0FubmqA60Rl2EBAijfAQ1YqWwqgMJBxjh4yQr87vEzxnGXsmTf0\nHWCVZ1uGCV1aT8FcEEp0rg+A0Duro59gtMiF4lBV3o9h9yq+ytpQD9pmdgom0iCE8apgpYb4uR5d\nsLSUqwM/+9kEThG5+GUwyO1QkAnG5OCgydivfpXzjvPrkBFvkbK11Q0dU6znqL/D1Oh65B7neFKu\nVCYM0CVl/Xvfi/Xvfjc3JIM6dr6HFcjWVi6LteLsiw/7sE3uN2NBgaEhqREviQmAdw8rdHJy/qwY\nlJWNk1eH2ShHnA+d4Zm4ANycr8NBk5XmxxCg8Mh/omDoMfAYX+6JSAPlkI9p42o8rVg2N5Nt4HBK\n2BfA22iUgIA6RZw/sBEjDyiN6II+GzWAD4bEYciIBkzseQLSAIywKQYggED6EoBMyA9PFIXL8l88\ncsJn5Btg1GFi2IHYSfKVhaIuJyfdPDba5TwiDAshIpI7K1NnOTSbFtFlIckZoW4c57C2liwWfbe9\n3dpz82Yaj8q4eLy8Eo4+Nej2ppjOj/JccJgLRwegDdCquUfMJ6/KM2thgOgfy6lZD7M/ZpOGwwSJ\nXOM5iS5jpZR1AqAAwMGePwDGwSBlh3Ph2HaA0A3ywy7qDjcaPDFP6Au3l/fQTr4jvGrwABhFP9EO\nh/3NvABkSDJGhyDPW1sZdvZcMDttxt8hYOrqvDSz4eRTeg+lOqfYLR179NWvRty+HZNytTIBQJeU\n9ddei/U/+7NUaigUDHZECjtCDAhwnJ4wiScGEwJDFZH0OJMXJQq1ixE3sJiby8mCEiOUgZKuDJYT\nGjEyePemnw0wUFC01WE17vdEh2Fw2MS5KSgrJzbXMBWMDcbFK1kM8CK6ya48y3kP9P3WVraLPvG+\nOFboGA1YE54NEMagMZ4YWXvqyAJeMTlCsBG//nXS4LTPoUczJGYRMdLDYR6L4BwnQIbDiM5Pwwtf\nXe3mADnPjXFFtpybhCExuOZag0hO8ObAS8Cq2S2UusNnw2EmLJOcCpCC7drcTBnb32+ABwA0O5u5\nEhh67/Xj9tgxsYF0qMKMlxkEABnH3dS5ADPLmDOuyCtAEtkwM2QAwv9mX32tdzu3rBhY4jSx0qrm\ntqBH6G+HehzmJG/JW0swnsi8E6l5nhPqqwOFvFQHAjlmdRy5RzU3hznG2JDw7j51Ejp94pwrvn/w\nIPM7uQ5GDvkEAALuaK8XxqBv0SPMFwAyegMdsr2d+VBeNGF94rPWvvCFtrpwUq5UJgDokrL+2mux\n/j//ZxetW1k67m/vDs8RYONt9xFe5w4AGgAXeOJWkkzE/f2caBG5jBiFAuDAM0ZpA8RQCAYPzgWp\nioyfiPOUdZ+nioJBWZIoCouC8Y7I+gAmCNPUUAKKgBwK6o9yd35NZZAIhcHYEKOnT0iWdQJ2DTHd\nuJHABaVdlS/jHtENG5jd4FwpQoFHR+3Z3tDNeRYATL+XewFKhF9Iko/oghdAMSAIT3VpKYEoBsDh\nNtgMjzMG3+Ed6gWreHbWFDkyg4HAENK/DnMBUpGb6enczI82+4gCjPD8fHrGGD3n3wGumWcYf9rG\nHHNODcbSYMOg1vU1W8WxH+R/+Ww85hT1wYhGdEGnk6wNBlwYI5gq5jxzyeNlYOqwGbJKWNfh5oiU\na8JNABSYxYgu0+S8H0Aqc9lz3e2poLmG+Kkzegtm031p4MRcY1wI67L0HbaRcamskvUbIfDDw8zP\nBMwCZOk3yxX1J+Rp8GV20uwxjBEAinuYszCRc3MZUmOMAJiTcqUyAUCXlPXvfS/W/8f/SMOK8qfb\n8CaZGAYYJyfNQ0UBOnkVRY0BMLWKd8VSy7rUncRWQhgYWG+ahpeNkYjosgZmpSj2xLjXCcjcTx2d\nq0CbHLvnPvINOIMHRWSFyPtYIop3idKwEbLiREn2sQ8orLOz7nJWlBt1Zgduzm9z+GZ5OUNIGC5A\nRw232VOErYB9ODhoXqXrCPuHgkWO+p5LewiloZABdzaW1Vhj6M1akmeF8uXZzm+gPt5niDPP3P+M\n//Z2k+PRqIX26As7Dvw2S4DRor6susP4Eo7B697ezhAdDCJAAwOGvCCTGGn62YmpGDQDf37qKfb0\nOW02Q2JACOMD0wjzw2cROTZeNWWAxVxyjlEFTTVMRZ1gCw4OcjWe2Trn99Qkb89L7+xutoq+Nni0\nM3RyknsVcZCwgbz1Dfc5RMjfDn/TPwY9ZmprsrwT/iO6if/WWQaLnne0ldy1paXucRYRmYjv1AWc\nz52d7t5o6Cnkm3uQKYcwkYmtrexrO0TUYXEx9fukPHaZJEFfVkyDLy2lMYtIRWfQwBlEhEOWlzNs\ntbTUpWL39jKcc/Nm234dz5twwObm+U36InJSPfNMThyU/GDQ6oCiIeTk8JTDcIAxJiETDYaBsF5E\nelAOyziPgWIWBxDwwQeNbfEqGXt9eM4RCdS8RNmG3YmgDnXZ4EZ0AQ0rbshbiWjvXFtr921u5mnT\nt261H8KJhHIANxgox/MNCAGLbGB5dtaYHhRcRNLre3t5XARGxbv44uEDCiIS7HpptVk7AC5sAkYC\nhsDF3j51MZhFlpeWMsk6orsKifG/ebO9//79lHnGn7qzMABD6xAUy4k53wr59EaBo1Gr495eF/QT\nCjY4gemw/Bi0YUSdlwXrBQhfWUkg0sd6UneDVedrkagKGGI8YPsA5e6TvhDqykreS/0932CjMMAA\nQ451MFBweA5Ay/1sZDk9nfs0ue0AQFZd4kzQt/QP8k340UnUZqBpp8NENfxqR8nAEAaGtrJTNA6K\nHQrmCmGxykTCYqIn0JF1M0+ebVbSwJJ5gY6hL+lH6sLnVS7391tY/OQk9QC5fciMWchJuXKZAKDL\niveKIAkZVsYhFoTU3iRKfGUljQt7PDCBCA/gnTLx9vaaoZmaat40SiIic1E4fR4vHaXosAIAhERM\nDGBd2VOViKlwPO6IVASAEnt/LoQoUKzePZawGMaMxD9YFg7Z5JkYdp7n1UO02X+bjo9ouRlzc8mw\nObZuZTQctr4ej3P3V0KbUP3UFyBFTpGNrpUueQWs7GKs+Y1SvX49AWyfQrbnT503N7ths+EwAWNE\n9h/y4Q3tqKvDY04SBfgBfsyomE1DxpBj9oxZW8ucEZ5hg0C+DtfDsDi8DAghUT2iPePoKHNPGBMM\nckTXeI5G6SS4DQbvzEODCkAnLBGePgCAZxkomdlBb4zHrd/p55pATlthCOlHn3pvoGlnA/nxHj+M\nOXPKIAvml/AU74joboT4uc8ls8i8gDlBLgFzHMaJ/BHi9lgwvmdnKcv0EePsHEja1xecYJyZczio\nzEmPDbJKAfxtbiaggK3mNwAQXV8ZLgAtziG5bXYIabf/N+gcDhN00gf0LUfbsKLS3zmpHX1nlmxS\nHrtMQmCXlPXvfS/Wv/e97qZwNrpMKhgTJjv5LuS/QM2enqZB5lqTpDICAAAgAElEQVQ8LrMeKyt5\nYKATGVGqGF+vqLIhRDETQmLCA2woABpAkvOIIjKkYRCD0UMJGPywqghj7JVuFJgtvndCtxkBQKaL\nGRbeYfbFwAejsL3dfjiagWfSL7B6GH7CAGbpyBPCu4Zh8blEhD3oK+dhDQbtQM3T01yFZoAIQKV/\nqb8NEL9Z+eQ8FIyKwSLPwctEgTpkYwNAPyJnZiIcikDuSYbmPeRPmVV06AfngDEH8B0cdJkGwMjx\ncS5Zd7gYJnV6urvlA3Un5IOHDzABNBtoRqSBM4NheULOHKqiIPvucwCfQYxlH0bHeVcGQ8ilmTvq\ny7xz//IM577RXgw2wId+YswwpN5olHsBjbyfZ3s+owuYsxhnrjNjAmMESDeLRl8aNFSniv8dInKx\n42Awa1BkkAqodm4O4XkcDYAH/eXVwA4t24y6f6kPAMh9jgwz5mdnXZbP/eDFJtbBhOUm5UplwgBd\nVlBUPrLAYaKqHBF0LzMdDJqQLi62Z3ASMJ4PIObWre6qKRQT7NDJSZ7GTiHOv7HR3R2ZCQQVjSIk\nsRRFRW4OBeWys9M80uEwwZgVkr0f6si5RTZmGDiUPN4SK4MAGA4pwYSRv2DavHrx5CTZoKC88MJn\nZiKefz6NBOET9vcABJjRAnTivb/7bruHRMyIBmi2ttpzCVvBBBCCXFpKZcXYbm2logVcULe+kAgM\nBwCZVWwYNPoD0Golb4YjIsGjgQAGYm4u2QR7zsgY8nRykiADuZyaau3HI3WYFYMAoLl/P8EX/XDv\nXia6es+stbVWB0IRlj/YGYdzqDt9YGCDoSbU6jlihsggmr9JqAWsmsXxRqg8ezzOEJ5BrBdTHB6e\nl29ALaE72FIbVRJunURL0jV1AnCQcwKgN1gEbNSFCS42woQm0R2WO/QO4Aj5csI5aQS0jaT4vmJd\nw99+JnJFMQCpwIo6GPQiG94HaHk5mXaSlAF+Pu6GsPXsbOovgL+dY1h1AJP7nmvYe4vk5w8+6OZ8\nIuO0EUDGfL59ewKAnqBMANBlBXo1okv3szkbChKAZC/Dgh7RhHp5uSl1DIlDRd76HOUCI/JP/5QT\ntCrEqan2zHv38t2800l1p6cR//APeVYTyoqQCJ4QwIBNBQE3KFwmJobh3XfbdzdutGf6hGYrffI0\nYBNQvoBBJzI6bIfSQ4l66SzvwNDv7WXyYQ2XeWUVFDdL9Q1sHGMn/BnR+oPVPrB0zz2X7ByAcGMj\njz2JaJ8tL6cyfe65pL4dprCBNstHGAlAefNmMoswByjaiC7r4bwEjDeGH6VNvd9/PwE9v2GzkD0S\nuT/zmQwR0G9moPb3mwxtbXV3cJ6aas+ivuxJY9BCX8IuMR+8oID5RKgGMEa/mDVDTmlLlfla6mf0\nHaALUI8eYENE5gbG08AGQIIMOtGZ79A3gAm+d84ZDguhQDsCGxupP6am8qyuixgV2mJ56LuG/vLi\nB885AJuvMzgyA+ids999t90DyEdnVL3Jexx+5BnoCbNSlm232+wlq+jQDb/4RY4nzB1ytr/fDcei\ne9D3DikyZwH2zA3rc1jKw8OmQ9DNsMh7ewlGKxDEKUZ/TwI4T1QmIbBLyvp//a+x/qd/mgqLjHwU\nPcYUpgXK2kYHI+QVAShIe6IAKbxv7iHExdJn5wY4l4RdRpmgKFuMOO/Z2EijbzrZgAwww6RjsvOZ\nWQA2fTRzYaXjFT/OuzADYY8bo2Dq354lyojrnPgJMDs763r1VjCjUe6MjPI1A2VgCM1N3TGoZkR4\nF32PZ+sEXNppz50+dEIkxZ457T08TJYvorsFAArb4VL3Y588OnQVkStcGC/Lz85Ou98Km77oy8NC\nSRsEUjeHY50PQj/SbzBCsDqsBMOIMfcwPg5FUBeeS584fOW+vqjYkCKfLKtGrghX1UR4rx7r2+CU\nehp8sNrOSbOMN/POht/sCnKJg0JbLd88g/6p4RbXy3lRBnO+nnaiXwCzvsagpv5m7GlDzXFyqNk6\nwNd42wbrLMbLbQL4mil27pC3x6De5Aw6F4jn7u01RpM+WF7OOWKmjTw8DnIlh9P2YDRq/Ye+YYzQ\ngzgljO3hYctvmxyGeuUyAUCXlPV//+9j/dvfToOBQTatj3K2IbJRr96QlZcVMsaaTcoIfXlJO5Q5\nigxPwWfsROTEQvmiXHjn/ftZVwASFP+1azl52TUYoEUuE2EsErxruMUgwh6ZvUOURDXaEWnYaQNK\ngLZh0CO6CeDDYVNCGHMO5UQ5ff7zXeVkYARlDdizN05/YkwBPg5bnZ6mgnJiOp4aTJeBJHXm2Q5N\nAILwIlnySt+gpA36eA8Uec2R4ho+Ozrq5jFQb/KZqN/SUsoPwAQAwvO8Qzqsho8sQNa8EoqCLJNj\nwT4+GEDPD65Htqvxpl1OZEZ+rO4Mut33NvLILWNEOMOLBJADjGst1hve/sE6xeEsnAaur/vpWF8w\nH2qCvsPFdoqcd2KGrOZG4VzVa+l7fswY0h+MjXPLDCD6Co4By72Z34BM929fzg1jRlt5P6ASgOaw\nsgGKdTU62OPB9eg4QmIAPuSGuQPbah0LE8x5YYAeds6ueo6+trOHjuJedtSelCuVSQjssrKy0kIO\nGC0LNPkO9jY8mSK6StUsgw0XCtyT95e/TCq2Tor9/dwAjknO2TIoMdPorouZGcJaGHhW6rB9PWGi\nhYXMHyCR2Ks5SMi0cgUo1QNhKRgjlDcev2ldb3TGdVDs5EcQMmITwOEwN+FDYfL9/fsRv/lNN1GS\nMQHAmv62F28Qyz08H4Nx7VoC0/G4fxdiAw2PvQ2h63d62sKf1LEC7ZpXYObAeSrUGTlgH6nhMI+m\nAMiQz+PcIfoU0EP4gHbVlWTIsfMTzPy4zl6VBitEuMtsn+WGcfLGldQNhsYMio2vWQ0YXQChPW/G\nx2FZxo78njqGsCBeWm5AZXADkK3skYEZIenBoIW5GX+eySo6jLAZA0KqyIVBMG3nc3SZgbmBG8AY\nAEgIxs80KGJxB8XsieebQRbzmrGFiWQM0bWVzTSrZPYbNm1mpjG+6BbrHtrJD+10wjjyDwCdn2/t\n9+pM9MX8fGNkkGlSI65fb3mIBnd2YlkIw+fcj+NK6BF5ZW4/jL2clEvL7wwAevXVV+MnP/nJh///\n/Oc/j7feeivW1tbi7bffjldeeSVeeOGF8zfixaNkUbgrK91VHig2JrgnqJUIOSIYA5gKs0JTU+2E\nXyaiBZ7EvXv3uktQI9Lo2bu2QkV5AByuXevmWeBJbG7mSedWFExCh2BgD3gXic1nZ7laBwrZBoF+\nc/+hCAaDpIe5vubFWDlGdHcGhtUhR2VmJg2zPTNYKH5oq8NvDonRRod5UGjUH+9vdbVdQwjNgMpM\nhPMqkCd78E6yJK+GsaQeXo1m9shgm3s4lJTPvIoIRctmg3XjN9Pz1eP3mHpjQpQ5oV36z1457Se8\n1JfTAbD34gKvrMG4LSy0JcQOEztcjaw7FIRX7dCQWQeAMYDMOWxcx5ienDQHghV/GHne5xVg1B1g\nCyhx+wHWPBt95CM4AEIGQLTd4SjqSH+SgAszxPsqs8T3DnsZNFQgZycBuSJnyoYdhhf58XvRG+x9\nZVk2UKTvDaItj1NTmbdn1uX/sXdvu7om13nfa86167VfvaEkylRkxghykoMICHIBpnmWIzMGjABO\ngEQSFSBAEESKDR/1ISXrAkyYd2DzDlp3INAnOQlgSXEUWyKb7LXvtZubHLz5qf5frW/17F5N23Lz\nK2Bizvlt6q3NqDGe8YxRVQVkvtcw09nZtg56dIBNDLbKF8DVabN5xKaZmzcnE20eyHOBDFn0Osbq\nxo2ZK2h86Ls3hVYP5XOVXwgA9NFHH40f/vCHr732e7/3e3/1/+/8zu+Mf/pP/+nrXxar5Y1RrC6l\nW8FODcNqjN55Z2OTfu3XppfkjqkezNVcB3k2FrYFef36jCV7XtmDNTmQIehR81eubMqVYXv8eGsX\nxgvgWr0thpyBAC7G2J4h+VIffBYQapjGdz0LYyC3wy4sd0U1L4dSoBAfP56hPUcN6LvDFzsO+qLf\naGZjB1QY3zEmGDs7m7veumWe9y8MKNwoMbYsGQavp8ICkcBAx1H4qXktWBCgugDO4ZX6JvwkR2GM\n7bsFTxI3yWJDuqsRrKyNMb1YgLNnVF29urXRPXk1BHKKKHyeNkXvbiSggUPg/4Y35GSsicXdeo2V\nU3/P7GFIMQdlFwq+Pd92995vxigyvsKrTWBe63z0aJelszZq/I3ZGPPIBICoslXGaV9YlUwAYvp7\ncrIrM73OAfDdF061vsmd71t7gEJD1g56baiyOXCnp2P85Cfb386vWtlOzg1gfXIy51od1Ynklh5p\n3hn57/z2GhvvdfdZWSbrRP8//XSeVP7xx9trQm90S3P4HB0CZJm7k5NNzzgj6uhonoFVtu5Q3qp8\n5QHQw4cPx3vvvTfu8cj///L9739//PZv//a4e/fuZ1fgUD5hp54J0UUxxlwEjak3IZFCa0iCAuIh\nUe5NzKuRoeAk4X7yyW4ORxenZ5YKtwBv3py5Pffvj/H//D9TMTuro97RGLvszRhTqQAaL17M5OKO\nhf71IkV9qYFtAuPR0aY4/s//cyb/CnOdn0+PihJ6+XKbJ1R3tycDJz5bFguobN6CdjEq5nZNSnz3\n3a1+W4MlqlN+zrsBagElQKQ78cpQ8eibO6TNdh+OMZkaRwsUdDP4TYJ2rhT2hXw9ejSfX5aP7Ki7\nnxljzpv6MIiMFMMj5+H4ePc07TIxQg4SYsnejRtboqd1QO4YXs8FuKytAqbHj3fXHpDW0E+N0dnZ\nNjfGHtBngM2rA/nUSUa0ESgrG/bjH8/veg+4kGOHpcK+yS2pc3T//gRtxrtMTcFOSz9vLo2nNo8x\nwYGxJBdeI6tCMs2DLCNCVrCAdlQ2/Nw2e4/+e/lyOxWZfvE+3QJEN2xd8FfHZWV+tZeeJG9O/i6b\nRT8YQyDQWPVi1LJd9+5tP2WNG1bzXHpNaFx/OkdswMuXG8M4xgSnh/JW5SsPgD766KPxne9857XX\n/+E//Ifjm9/85vj93//9McYYf/AHf7C/go8/3sABIav3w0BaKLzd5nyUDqbI1lwYHq86AIHu3Hr8\neDfkVnr5pz/dzQmpkrJwvM7DkGPht9Ofr1yZCxjYUhewR8mos7dDf/zx7s6sggn9tcDRyT0niFHj\nhQkTMvLGj/IDthwt0LM3jDevrl5aTyiW9A3QliHSZuyGIk+l4Qb94mU+ezbpa6GSnoi8LwdBCGWM\n3e3Ba46NcBAjCpQVRK6hV+MpbOK4A89oKBOb4LM8a/Xy1p8/3wwGLxyAwEyQHfWQq3v3JgiSL1Pg\nU8O1Gk1jUbaq63DfGug4AywdUwd4mkvt5AAVqK/HBJiPMiBea+5a53mMaSTlYDnLp6Fn4BdLZ11c\nvz7PSCrLw1AbJ2Ch+WrGwljpUx07MjTGBIDyvoyFsWue0ipHAL8wUp017a0TAkQYt4arhIMqX0Kz\nwBgduAJI+rXArPlE+r/uiC0QbLivIVX115ECCh892vSzPrsWhcPXNo+xC7qav9WwuDV4fr4BdXJw\nKF+4fKUB0B/90R+Nb3/723vf+63f+q3xJ3/yJ+P3f//3x71798bf+Tt/Z9yRU7MWwGaMKbAWAPp8\nVVRjTAU0xqSs66nz+BrGWf9ungfAhXGxuG/fnmEGxoDCldOB+XBjtfbbVt0kUN5/Y8xVFvWwgL3u\n4iqT8uLFtugBQv3odl9hj9PT6fE7OBKg4OFjkYxz21uPaYxdz3yM6XE110JCqzFvjgEQc/nyBmKa\n7zTGDEGUOUBl37mzMUT3729eP+Dz6tU8r6Vy0hwUgJHhWT17ys8YUow1/DxcoAz70xw04KyUenN8\nVi+eETLejFo/e3w887i6dV3OCpkgWwVf6lDMu3EZY9ZzfDwPsyyoKEjV5hXEl2HVv9u3N7nr7q4y\nHX48C8htXfpDRsq0lOGgNxjUgm9nwNRQCgHXkfLMMh7es06Nf99reKX9bJiMfOlnjXLlsvqioTA7\nCLETTexdDzGke+gyemhfCO/ly3kcQ5PM65B2rTQkVTYTQLFGqpM5WsCe9WC87QDDcplvzI46sbj6\n2vE0pgXQZIYD1/kqs1+Ae3y8OW+H8tblKwuA/uzP/my89957e0HNgwcPxve+972/+vkn/+SfjG9/\n+9vjX/2rf/V6RU+ebBRslVmTJRkAC5IR6uFsx8dTWd6+PXdRNVGXkqAcAYd6fAz2+flULIzltWsz\npGVrPuPwta9NNsrODDcSYzsAuV4weXIyFTHPlGJhAOVV1KulJIENW/p5U15viObatQ00ABPCfA0h\n3b277bAo4ATCtGuMXeq7O8w8Y4xpcArqvI5luX17nrFRqt2JyS9ezERvSuveve05QmFf+9rWdizf\nq1cTyMm3KCU/xjQcKysCZGJjuuOLMR9ja4sE13rslGlZIH3Tb9t1e7CicQWgmjckh81zHz6cN7V7\nDVszxkzsv3JlGpsmQTcJtGFRCaVyaBjeGqeClIZ/GcWOE2DVg05rcFeQYJ4KaAq6VgNnLZcpbVK9\nSy6bfG6cHbIJ7NE3Tdhv/of5XUPWbVPXZecVeCm7W4PLSbMugRXA1voaYxtH27K7GYKsep4jNTre\nDVEJTRXE+AGgyKzxL8Bs+N9arpNQ5qmAGXNkPsaYp9ELGRe0AMsvXsxDRIHSrmkOqbUrP4/+pGu7\ns7LO3OpgNHWgeVOH8oXLVxYA/ehHPxqffPLJ+OM//uMxxgZ6fvCDH4xvfetb40c/+tEOM/R7v/d7\n40/+5E/Gv/yX/3L8xm/8xm5FN29uJ/fycCiV9Y4ripvCPzqaxrasyBib8XvwYBN0C4HS4W2dnc0L\nS31HjsPJyUar2hEjP4ZXaoHbqskbefhwM+q9FJNx6LZPVxVIStYnBosx5+134QuPvPPO7mGD2gDU\nME76gDIWBixDJGwnkZgiphxLTY+xyyxQFmNMxcRwdpt1AZq8oTVRW99dhnjjxpw/IaCf/Wz3IsWH\nD6fRkd9y9+5MFB9jF7w1PEAeCmLGmEZNnf7WTknfwAHluSaaNhxEDm7fnicbl5EB6o0pkNEdLaen\n29H8DFvzXHpYqGevjIg2kgGAbIxpKMoOqGc18owIuWmxjhvGqxEsI0E26sF37MsSKdplfQk9eY/j\n0Fyl1sWREvotm1HD3RBj29+QUefW+ljndc3nMgZdY5U7Y1zQx8Bjmh8+nMyjuSQLnt1rXLBO5pte\nolPLiFu7K0PkO/RKd5vtA1oFyg2BrTv6tI1D9vjx7o5Zc/H++3PejL+xpfsLoIV2bQy4dWs3V6jt\nrdx5JnBMlxzKW5WvLABa836++93vjt/8zd8cY2xg6KOPPhrf+ta3/ur9e/fuvQ5+xtiO/P/P//Nd\nI1hq3iISYrKjalVElB/Dymha1BSDHRK8K2yJkErp/jGmF/7gwTTewAcFjw34+tcnGKgHxojx4H79\n1yfNa/FjWk5P58nPY0wPEPukD6XDKUBhEedoACFXr847rly+6kj6MeYOMH0DmsaY42GsJHcXcJ6f\n7x4S2YP+gK0qpj6fsivdLqdmjLlL7cGDyfIJddmyjmWQwyUXq3Waj+YPlNko4GCA6iE7D6ZAiawV\nNOg35VxDP8brLIjxKts5xm7+Ayax10wcHW1gShsY9ipxxpRR0w/PH2Pbkah+MthjEMqcrPk/xtQ4\nW7vY1Bp3cmI9rCCjxrMhrwIe7QMUeegMqrbWeOs/2TT3ZSyUGu+Gx7G4Jycz2Z9+uXFjW9OYjebz\nYFJ7hlb7Y4yx2fRO21A2WJK/td3EaPXQAcak+Szm3bj2ihHzY90ZpyY/AzPAhvn20xDcycm84Fgf\n9M04Ns9MOF69z55tTuiTJ1sODoBeh2wNIWujsb9yZbMvV65Mp6rnPFmnHRtr1Puc2UN5q/KVBUDK\nw4cPx/e///1xdHQ0/vAP/3B85zvfGb/xG78x/vRP/3T8s3/2z8Z77703Pvnkk/H3//7f31/Bet5G\ncxZqLCD/giM/jF63ZfMsgA+L6tKleY5J2QneXD0m24y/8Y0NpDUB9dmzuf3a9vsqd0bq+vUNLK1b\nvt0B1p1DKFqnRtc4UH6Uu74CJR98sDs+PfwLA3Tz5qTQ9fPp000R9iykUsUYDsmW7p4y5sKIgEC9\n6DF27wNz5sjZ2UxelC/VnIfmH3n2O+9MJQk0NXEV6MKiffLJ9j6mpqGsy5en0WHk1cuojDHB59Wr\nmxIGpFe2oj89SLHGpX8rni8/iBFh8M7PJwN469Y0wrzpBw9muzFVFDoQIXzIePU+NvMAXJcZa6gA\nEDN+BRnqIRNlfQCIfr5js45JxxNYkzy9hhvLWFjHPZHd58mHz52dTeNrrTKk+g0UlRkBRHuEgfvB\n/vzPp265eXPW4yT3x4+3EE4NK2eKnDcRtwxtATE5sC4+/XSu8bK7trdzSgCZhpf0zzMxMC5zxp6Y\n++Z6+TxQWQDR56lHAjcH4Z13Nh0s/7GMdeX+9u0x/pP/ZOozjpS1TNeRWfr+nXdmuJ8+6kYPY+q6\novbD2EufoAsO5a3K4SqMC8qHv/u748P/7X/b/qnSRaET9s9TGDOGpTH358/nrp51x0lBV0GMsIHk\n4dLSDKMzWSxE55YAKBbpets9MHH//uxjmQM0NGBXtku/bt+eSqRec2P8+qPe5qLY4tx7oxpCqNIR\naukpskAPo12mirJcvWHKUq6P5wNlgBbjJ1+jBsIYMij78lUA3h45UIBorBqGwTx1G/u+qw9qAAoM\n9oGcfQVgIH/Gbg27SJ4eYxpYRg4T5j3h4zI/ZLosQr3c5rgAVsDYmvfzpuK5+67M2FdWAKnNWMwy\nT2PM5HbJtAADOeh4lR3yWgEbI72G2d4EhspqSc4dY4LJMlZyCm3X5jj09xhTN8hVJGPqZaCBdDsW\njW/NCeBv/QGcdew6TuazYUvPtG6ri+ggOYTWUZkea7n5U8bOWFTnds0ZZ/Nlx96DBzMn0mfWsDQZ\n8ayTk6mjOn8F6mNM/SJc2F2xxo6dEE4/sEBvXb7yDNCXLlevTkamCqyHbzVkYMEUjKxKS0iEQX3x\nYvPg0eTdim33B+OpHWPMUNDLl2P8m38zqX1tePJkKgafpSgZHgqKMm0O09WrW9js1asJZrrlGiMB\njFBo61UAlBQj0ji7sQFIzs5m+yQYAws1RPXoxpiKUl3dgUHJCgUAjs3h0NYClIJVTIRxuXVrkwuh\nBVtulXXO2w5e6q1buyE7/QAkhS7H2AVX165tOQcUfhkeIKLGXj9amlvS0IexPT7eDMTHH+/mc0i6\nb3iyieG86efPN09fAjvZaV7OPsehXv8K2shvw5tvKmSlIQ5Arnl3LQ3JNMzY9nCCGmpUL4PbUNwY\nu6E667NHWphDfez3ASB5S9Zok4DJJHbHey9ezBw0YfFf+ZXZF2NQ9unp003W/9//d/tu5aZ5RfqA\nOS0TUVZYHmKLMQYKz88n47yCxDHmBcaY7TqfZVF8rrvxCjjMVXPAmnBMB/mc32vC9b1722uuk6nz\nZoxW3VeGii7Xtq4D+ZyPHk1Ai7Xq2GGTsXqH8lblAIAuKqen2/1RznTpKa718KtQLYRS6qWu60le\nujR3GpVip2h6VomdR5iOBw/mNnT5FpT31auvJ8cBDK5UaF0Wpd0p3VoOEDifxLh0S3W3UI+xmx9V\nw1+6vmGIMaZxa+xfLk1PgQa8yqqcn2+faxJydzpVMQk7NZG9IIIiblIxAECJ1TME0DANY7yeT7Ea\nWwaAMWEIeh4JD/z0dDfxmsJ/+nQq3+acNdTk9wooVnCOjfJdBq45KcZjBTFCotoxxq5RNF5l5Qom\nOr6KOSez2s77f/RogqqCZ8ZhjO17Dx9Odk97PbOG2A+ZMs7dKQiwkMnmx+iTHLfKijwx7eflk33z\n9uzZxrg+eDCN9NHRDIU0pKYPndMyCZ779a9PYNSwaMEgPdJclUuXNsB0fDw/J5Hd0QkAd3eraqNd\nfj/72W44bd9291ev5ufqSHCa6Fz12PHqdGQsVS8ZNR/61DVNnujgMaZj1VxB8u7vFy+252Bk6B3O\nXoEN0GNebOEvaC0YWp078vvq1e59ig0DrxtxDuULl8PoXVSak2MBdZG8qVQhAzy2CfOS5d9UQVAS\nvHs/mBuL6enTbfHcujUXhi2WKx1M2dWAATPYG7fMv/POVBq98PT0dF79MMbc5VTDpV0NTfDSyiDo\nC2XBq719e/YB8wIQff3rM5RkXOXVOEjuypXtmpE1sVExB48e7SakmssaMQDpTfNKSVFGvR0dNV7j\nuoZOyjapQ85SKXUyKBTlBNgVMGAF1sRfc8GgKoARY2yuCoa16dGjCXAvXZrgWf+1scZPHR2zAh/z\nYYyEFHvBrVOjHaRn/iq3jiZo8qr3G65ldLtu+39zQsyHkEt3FvkbS7rm5Ny/v60TDoN6JRqbt1ev\nts/97GfzQE1G/N697UwiYPjx4ynfY0y5MHZlpzvnjx5tzHCBWs+YESJfd7thjAHnO3d2w/GMNCej\nYKZ6jxyQAe1oKA3TBSxK4lYH/SaX6MqVqTtcPkx/dHdqQ4LGDEgpYFQnBo1M3bw5GWihX46q7zbd\n4ORk6iH9bbJ4dWR3ugltFjyZE3L46NHUMfp3dDTPjDqUty4HAHRRIbjdrSEXg8JvKEWpEbp8eVsc\njx5tRv7Xfm0qbIfzNbfI89SL5XHkv6Tmhp6EHbrLrBRst4M3V4ACwCA9f757tH1pZj+vXs3LAHls\nvOYmdZeBQMlb7PXcUbz1GIHAdaeHxG+JoteuzQTgMXaBBgWu7z2ribIVr69H3T6UZTKWDFDnuIq/\np+Kaz8uXd6++GON1IFVwRel6r/3Qz9L4a8iLAcA0qINhPzqaIY7OsbwI84yta/ihOR1AUw28tpq/\nhnl6tACD2LN/uuawNsZaonnB2fPnW5jOiebksedkMSw1fObZ1KMAACAASURBVGXE1t1Bxg6QaX7S\n2t8VrPtMQ5gvXozxp3865wPTevfu5lx94xsTCAMIH388mUyG2AGT5qq7LNe7pcrE3bw5Za8nPq+y\n596vysu+wzYxgvQFp4Fzpl6J54Cd+SEH5p+8W3PGSd7d6ekYf+NvbOPVM9Ma6tUHzChQDzRLnq5u\nIEMNx925M9tiA8mtW9uzJZh3XdPvlaeuEc9vzmZDc83tMa8F202ilyzdPKZ33x2H8vblAIAuKnZT\n1CMfY5ddseOnYTEL6/79DfzcvbudkdJ479Wrm1fBG0R38swoiuvXp7ITwnLfFINNETk7aKVTUb3+\nv3lzWzyYCx4dxUkhYBUsTKDjl35pKmwMUmPpCoXEO2UUq2QpgTIQDD3Gpjk9FGk96jVfpDu99IFS\nZBB7wzJDB1Q0SboX0tYQCKP0u6hv4InipaB7EJ2x0iZzc+XKxgKU4WEsSrFTqvfv7ypX9QNvQLpQ\nnd0zd+5s7QOgKdYCj97fRkHfuTNPoCUTDtEkK3UKGF7gBKBgOO0gQ+v3uWXBxpgyx+tmZIVuhUMa\ngjL3vO81MZfsNFTNSK2Js8CS0G/lDigvQ4nN+pVfmU5Fzwz75JNNvhviGmPuhtRfAKWA7ObNTX/I\n77O+sDVkv+FDBtXfK0OJIQImXBVTsGC9V8cIUXNmMJbGWvjo9u0JTpsIr81nZ5tDgxl/8mTuMBXe\nJgvNzWpeosR0AMKhs0dH2/MdQbHqie62IicPH26vA2XqK2vWPKHKqf+7hX6M3aNOrl2b424NyrfU\nr64lYTrh/UMI7EuVw+hdVCxyigNSbxJpE/fGmAv/4cNNuUs8pFzqRaBmKZkmtwFCY8zTlBnLTz/d\nvETGisJhrLSVV1d6lTdhmyylUfDGQ2u+CwOF9vX57gizmOVwjLG782uMmZytbQ2RtV1i5Jcvz1vr\ny3ZQyIwNo1JmhDGm8Cn2botuomT7zzig+ut56icDWiW35lmUQaqBJSvaQ8kBNs2pMO+odmBMyEIo\nUb8wlcAbwKQ/WIqyJA1RyLeSlAkwYoNcvcKY1Ij2brfmmfzlX04l32sysDvaNMb2XCznyckG8h4/\nngnyjhB4773d85WwWMLNT55MWd7HGGDsfNd8Agl1fIS9jJV5AwyPjyfbcufO3B3Yc6NsVR9jgsEy\nOUJhmM/T05kor/9jTDCBhSo4OTqa+VyVO3Nk/rSZvNQxEaIvI1qZFJoic8AfmXM/IQN96dIG9NyM\nfufO1i/O4+XLcx5evNiujzk9neHkq1df3/FUea3T8uzZPLCQ/nC57ZMnG5Ayx5K06SbABzP9a782\nWSnsdfPMMFTWltdqKxquJevVY0DmGLuh5XXjgvl8/HgbyxXsHsoXLodt8BeUD3/3d8eH/+gfTSUC\n1fM+CD+F6oLJ27e3axCqgMaYSkjSYENLFPLjx/OeI8qwNC3PpjFk3kSvCahX1JOeGSYLFYCgTBh0\nRtVCRO+OsXuuyxhTMQJEFFwTGv2MMdmQ5jA0ybGMSMOQ+3JOAB/t8H8TDpvzs7I+ZaDME7AJJBm3\n5oeI1TffpJ9nGCWPXr06AUJzclbmUJvUa26MEQDVNjaZuPkgY+z2sbvzmhfR7eI80IZkgT6AqzJp\nXNQ3xq4hcYwAmX31agJ949mwk+MKjNHly5s8AcyAQuUR20KuC5IwT/pAVo3XCr6AgDoUzaExjj09\nWH11HG7dmofoAZH6Y456zpg2PniwGemGl7AazZtx1YTwDCdm3YK9hnQL6K13cqnfn3468+tevZrt\nU3fXKwdKW5srJJxTx0C+FybXKfZAXceTrJIZfaiu0EdtF3Kz/qwBOqC6xfxhYNQHPHGG9IVs0rHk\n29yU3SP/3f3YsHfz4ayxpg7oH5a8uW1A5ze+sTnYh/JW5QCALigf/u//+/jwf/1fd3eDdGHVCApL\n3b6960laRI1No+rXmH4vWKRwXLBJUVmoFGu9MQpnjGnoKW5hCl5Dcy4Khp492xQf5VcKFttw69a8\nVoMHgoavURzj9Xh9mRteNQPhe2vC4hgTJFKIDa01cbnGZIxdQ81Ta85AwxbqxwBorzZpB4AlGbzh\nSPVRzA5bkyC9nu/T8fC3eWzOEZaPES1zRoYaCmkeUUNDY0xW5f79aRjs7sE0AR52Oa7bjpsLpd01\nJJgv4MQ4PH48DckapjWHmCdXsQhLMKbCJR1roLRsmfwLzBdgr90ciq5t4MxcjjEBXHe26SuABXTo\ny+PHr4dsKpd37swxf/JkbpCwvnoIXucaKCBfT57shufr7Hh2GVAsC4D54MH87hoqW/OFOGRyEgEg\nhp0caF/bXMB9fDxz/v7iL+Zn7frCzKzMq2foO9lteFx7CwTLzpKH5rEJoUpkLghpKLrPpmcbhqrD\n63MNrTdkXza4rLA+Aly+qx0d03ffnYzioXzhcgiBXVR4JYSxO0LGmMpcuOnKlS2uTxEIFQEcFuHR\n0UYTU4a8L4ofNW9XhAXw3nvzzKCzs+0zn3wycxx6pswYc6FItKZkypBYoPXanY6sTzUujLpdJjzA\n27fnQXU8nlVxUSBVEIBfd4aNsZt3UzbDmN64MU9ULdUsn6qhr+4M6zkqVTzNXWG0GZEqIH04OtoU\n5k9+MtmMMXaBl2fXu3VJ7crg9UoO+VAAXXfrVInbXos6bx4PZsNckGHy6ywjsvD06bzH6fr17W9h\nK2OAudR2eT9lkgpssF+KgyOFiQCCTz/dPUahh00aI4ZDGGctQtU+Y+4BOKyJMElBrXGUEC8849oX\n4Rhj6ggJLG7Dm2TAOrEVX2jGc3/yk91cKOf0cDLIGnnr7jPyiplonlpLw3Nk0jrSXuxaQ91jzLFb\nQR/Za+gQ+Gj4rqC8z20O1qtX2w7Ps7MZ1jk5maCMXgSquyaAlrOzbezKigM9BUrqoRMrqxwB4Ht1\nShrGLiDSnzUPyLrrul0Zn45NgVJz5+7d22ViOdv0fY9mOZQvXA4M0AXlw9/5nfHh//w/7yL78/MZ\npqIMGioaYyoGykzc3AmiFsLPfrYBGMramSoUrmRIBldoTDyaYaB8eGU+b5FrE0XlWbZdi4djYhpm\nGGN6RBaqBF8JmJKd3R7POFDkNQwNI/KKm+fSkGBBY/NxmqhJSdULRrXzdBlMbWruS73lVclRcO4j\nKyArO1NPffXu1NFtuhhCOR/Gi7dXb3pN1NR+hpMCvH9/JoryiOUSUJrGDKPTUG7zIOR7jDFBasMQ\nbY/5GWPKe42U9z2rOVLGkjGrwT462s2dEf7o/NcY8fixTfqrPUJQxhogJAuVLf02Txgn+UVCUurF\nGALYPcRulcW2oUxbz8YiO+t6MJ/kgt7Q7oJrLFtz38pqrOwq/YFR9j26BDtIXs7OdnNZymB23Ko3\nAQ+pAvTH+fkMI5W5s85cQkwO6Vvrgc7p2js62pWVMtnGwNyZjzog+xi3ho/NZ18X5mrIrfrNPNQx\npDfMNyem4W85SMaFTP/qr+5uzz+UL1QOAOiC8uF3vzs+/O535wti9hQ2KniM6ZFXgZVloZDQp/fv\nz9BEd1ihsC0W76m7nsydOxsjBFRZiMAZYESxNPyAuaFAKNgxpudC2fByKDGAqLs8alSrqLszQ15Q\nWRc/+raGhwDLenINh5Wm724Kz9ynzChp7dS/hlQaiqxybe5SQxG8ScaOomviPGZD3ea64Kfz0Lwa\nY1FQJ6Qk/Oq0645tDaTPyOEhJ5cuTSU7xpQ5yZ76SV54yt2Wbr6MqbAfFown3WMWJFMXKGIyamDN\na0MbBdDkoADDKeWMrXNTjC3vWW5Rw3YNg7ZuYbTOiVLGEFviipt792Y+UnOLjNPDh3OnlLVV58N4\n+L8hpW5VLyAhtxKs62wUjGIVAEJMbMGlMSg4BeABDbKLraL3ulaxLGPMc3fK+lon+np8PENhPvPi\nxcYQYVPNa0NvY+zu1gKu6LUVtDT0Rx4L+BriBUIaJiRT5rQsdnfTWgNr+Ji8Vb9pA6eiTqSxff/9\nTa4O5a3KAQBdUD787/678eF//99PMEJBMfYFI02c85kmiNajt4NGeOTu3SnIlBFjYFHwqihpn3n8\neJ5hUYaFF/jo0Wyv50jgtOgAu3rQFqlF2wVfSrbnfOgf1okSZbDLWPUwRUbTFmOedsHkGnvvLi/h\nJsas4IiC0+Yx5uul+UtV11szD906bQw6RuZH3kKZH+PhGcaGAgSGKLoaXvPY/DGgdIxpIDyreTJV\n7trZre0M9dnZvP+pdxaZe+NpvMgM0LTmd2DrGjZtwrr+WE8NFVtH2s24N2TZXW8F5c3HEdrrmmmY\nh8wZU+dsNQHd809OZk6SvmMjjFPbeH6+exceoPPpp7sApSxWf1ePrGETILW7O8mjE73pncuX5+4p\nc9pkfnUCC+tJyGTTXDDkxsQa6Fi0/dY0fdj8srOzebif768J7g1F9xwvTDr9qb6C5Ia4ynACFg3V\ndWw4MD2UsUyv3ZDrZoeyZdXzBTwNzRdk0o9NT2iOZOfF72vXxvj1Xz8wQF+iHADQBeXDv/t3x4f/\nzX8zjY5zGIrQyzCMsYvWmyzK27eguluBsmt+iYV58+YECwrlQwG9ejXPy2nIgadu+zrFNcZubL5K\nTj8oDcnajaOPsUstq6OAonkLNRgAXv/3GcqhB0N6n/IzD+ZAvJ0SXMEmQyDMoY8UOY+OAeG5Y3n8\nFCRph+91Tsw5dlBYUZixyagOy6t3XtDQRM6Tk22OjZkxOj+foTAGof1r0ucKGOR6Xbky86dOT7fX\n5XRpuz4CXgBOx6Xy1UPuSt0XQD56NA0BWT45mYm9K1NR2TBmwGmZQXJPTsmkvvou5qlXgQhVY8WE\nlSRHkwvsRGV8jGmwGEavY0AZ3jXs280KcrhcY6FOa6IOUnXMjRszNA3cNjell6EWTJZ9BPwqh2Sw\nhtgaw7phR58+neOgn9YL2Xn+fDe5vqDbempoDWjGrshL4iiQEebM774OPDaPEwDG/gDb5oZzUKbZ\neBsTY2md1Ca4CLhsWXd1mhchUMn28s3MN31U5mqMjf0/MEBvXQ4A6ILy4W//9vjwd35nV2mUxqTk\nm/8D0Kz5CmWLKLzmIVS46wkXHBV08KYAllLlKGNKs3XXwJdKryhY0A3DjfF6no2fek6r12VhN/ei\nJ+2OMceK4ikF3vrVWQNDQZaFYOh8j3FhWFdPrDlA3UlGQZU9Wilz2/YZt4Z0eov6yuphxIQg9MNu\nQcaDwi3LRlGuOUEFhw0P6R8gTLZ6qKCkX/lh+8aGYl/zF5z3M8brIbium0eP5k5HIajmizCikl2N\nY5NE3YFG3pqEbxsz4CuhWb8rL8BgQdYYk6mRo3Lv3gR6Bc92SsrjMidjzDWDMbAeC0obJiozpY6G\nkK1D66SOElBi7AqcrTfgwQGiZbZWlvru3ckm1+gat+b4mGvOjNea0Es+6Ibj4+nM0YV16OpE9WBU\nDpWEbzLT/Ls+s/qw4e3mMpJTTGbTD65enQ5Ac3MaivS782pN9Uyf6n6OL5BKLwBIzQ+rTaEnC/h+\n9VfnGUKH8oXLAQBdUD78B/9gfPgP/sH0sHueQ0MLFHKp4Xok9SK6+Ood1csCerpI67VRSJ6t/nrr\nns97AkzExC0qQGqM1z2qKjsLf+1fFSVwWNai46IO+Tk14Lz8JqLqN8p7PQrf2NXDe/lyGtoaLt8B\nGjuWgBOmrR5fafAyPpSUuWPQ5JmsoQPjTOmZqyZ7YhXk52AzXACJVbJbpqFBbWn4Sp3+1waXWxp/\nclJj3LNvCrIYaWMoERRTKKSy5jM5ggEzwxhWjjgDlXdjXfABBHaHG8NovNZxUI9Slq0sINnt5Zrk\nA0A1zrZrF6gXgDLAXgOYG+5kXCuLjOLz53PnWOdQrlfDOtaLPqzJ//RAdU8NflnJ7r7SbjrAM5u3\nKCHc57CxAEHZYc+r44b1AIy6lskh0FxGGiDz3J6grJ4CefrW7+o4stA8IrqFLPrdvLNV1wr/et08\n0ZGvXs2dmwWfvs9hIoPruVxl/g85QF+qXP4P3YC/9kXeDPbAlQ9NLB5jLuIxJg1aqprQjrHL6Mh9\nqHfd7aw94K4LbIwJCiz+K1fmTh0eIEDx/vuThWloag0t9ZC+shzNAVKH/vp+mQYKpUBODgtl3B0d\nBRAMDoXacKLPNIxT5WycgdU+A8Bxt1J/gBJnsQB4nk+xykdoKKiJ6isbV6WlYHPGmEpb3srjx1PG\nHJP/+PGWF3X16mQn6pHWoJ2fz51T5gTjVqPNgNZgYdXIRbfYNkG6IcyG1LCLjJJ+AMZutx9jAibz\nJrz37ruTnWKAa4w6jwwgNuD996ds1XCpp4CgianGDlABdno6sxvPXQPzwQe7uzPL0LpipaCkP+o0\n/2PMsez40QESzQtk3QvGMKpL/Z4LHALg9+7N+dSGTz+dsoDJwlhaG+acYb59e/duruYdFSi9fDlP\nD8fWFDw3fFrWzJhi95onSK/Qj/1sWduGOckO2VBHgXUZreoY89MxMDcN052eztCcfFHPX21B5cXz\nsU5C2UKWjx/v7hRWb53dQ3mrchi9i4r7doCdR482Y+TSUCeZ1uNhHMvMNMeDAmcALKayLaXShRYu\nX95Ol67H5n07bo6PZ8JjWQX5Fg0lYEeUq1e3mHKT/MbYBSDaWAas3m+BQPMzXOCq7d2q3B0sY8z6\nPZsBLYvGy2tyNTZFzgVD2ryPMgByfgog3nlnHv53fDzPbnnyZIKVMea8Hx3tnqHSXXHdLSas1BOE\ntdWxBmPsXm4IKK0Jl8CFG7IBqDGmEjcf6vjgg9eTPhmvjnOf/eLFpniNDY9cn7w+xlTevftMgv6D\nB9PorOxOvfa/+Td3Zao/5hc7KjTU3LuVzHa+i6MZGiqxEaBji7kqc2Gd2GX58uXs04MHM6+LjB4f\nz4NL1VlGtSwiEHl2thvusX7JTUN3QJ/wpWMJyGpZYHkkmJWOl/VTQI/9sDbIcI+26E4s+uTSpRkq\n4hhJysfQAb8FekJzxmA9rgO71lBfz/4BiICT9WDUggMhNTqmDHKZnIb1x5igDhiytqrvetaVubfe\nu7boOMCxzHR1G4cFGMTYc27u35+Oq3k+lLcqhxDYBeXD/+V/2XKAIH+Kimfu0D2Lg0D2CHy0bXNP\n6k118QEMXciMbinf7kq6cmXXm3Z4XPMKxpiKieHuVu1+bo3Jl41qgjPFSQFT2GNMIAhIOAjOM3l2\nlJy+1VtTt3FSCrQYUQoRKO2OEYaHUsfwjDHbPcas8+nTTck44NJcmqOGgOqNAh8uC23OjnDT+fm8\nZqAJ9aXHtZknuLafd9mxK/s1xjRWKwvBsAOf6HZz3Dwov8mU/AXhJobv6tW5I4yhZhQKNoCBhj1f\nvpyHIJZx025saNnGypmxL4v49OlmnNcLg2/c2OalyeMcCLLX+dTGhhzIOgCn/efnM3m67dJmcm0d\nm5MxdrfEV6aBjYafGdImDANqzgzTtjpB1hJZUlfD8kBNxxyjZcx7Q7sxMX4FCdYpmZGvQy6tn7I6\nDUs1WdmcVyeUGawO9dwe0Alg0GXqI5Mr80xGywCZQw6E9vVw2ePjXTCiTT7XvKS+7zOrLvFjzXKS\nyMDJybxz7lDeqhwA0AXlw+9+d3z4m785FQcl/+rVbvKhRSk/o0zLGLt0r0U0xuvJ0zV45+cz9NC6\n1vwIC5I3Jum4sXoKisHDQAEKFvwYu8l3XYSUpDZUESieJb+gsXmgp7lBFna9K6CjXi/2QRitp+Ua\nj+4OoSALvNZ8iwJPB629ejV3QAlBNVwifq80P4QRb86J8ab4xfXR2I8f73qrDGy9wtLkDJBxb8iy\nnyNrZLWHI2I+lIYGOqdNpC1jdfPmFkrB8I0xd7cB6NrYKyRWr9xnbYUuiDPWBWYMr/nV3ublMKQ9\nZZqsMCR9DmBnDTds0hCwz3iN3DV3xgXAwEPzVDBYDRdafwBC573haWuwsmU9dy6xKwX0nseRwqho\n/xqaKfBSdxnbp0/n+uw4afezZ5PRbJ7fyuLSbyuLtxbtM65Njq9TtK+UVSrY6q7EArQC1TL3TcKm\nh7yGbS7AMbb7AC8n1/zWKVj1XWWfbvM5MnL79oEB+hLlAIAuKB/+3b87Pvxv/9vXw1fdxVBv1eK6\nfHl6ZC0MPmXbG9EpzAo5BctI+EwT+ijllQWiDLv1doy5wNDPFOwYu3kXDA5DxUNBz6qnOUWl0PWh\ngM9idvYRBVk2ot4VMNm4PhZFWxvaAcYoPyGnhvoapnRfk1u8GdQxdnMrtMHBefXQjBNWxY4b4Qks\nEAVM0V26tBs+sRTLgjTsVOaPkQV2CsK7G4UBb/I+INQwWGl/sqVdxtprTaa/eXNr1/37c3wk2N+7\nt5unoE/q0IYq/uZWlIki9wBoASuQ0PoY1+bQ1WHAwKq/uRVleN5UVrVZ56H5YQ7gs1aa71HHBmhc\nAVi9f3LEmQLkVwbXeuVMNZzV3B/zIsSHcdRv3yNj+igsBlya2zXPbYzd/Db5YnUC9zEe+4qxMufW\n/hrWIwcr8wuo0LedE+u24eqVPcNwigAAKA1jdQ5WZr+hNJ+xZq2LtS8rGG5Y3TOc3XUob1UOAOiC\n8uH/+D+OD/+n/2k3eXOMKfTN7bHwLl2a27wfP56Kleey5gtZ0PUe1l0hFgrg5HV5AxKgHTBnoR4f\nv54EDHA1V4OCUOwSGmMyQIARj543WQYIcKky8/wxpqFlRBl+CkBYAYDjKfNK9VVeQ71Zv+u1F7hR\niIBJt7mWbejcNuxh3pqTgfHq7pErV+Z5Mc0BYdAB4DF2twZrc5N1x9gFkABfdzjpd8MZVay2autX\nt1Ub9wIBMgH4CGGRc/MqD8lnyL0zXlYm0fgAZt0FVZk2T7bWOxTT/JDh27dnv8l0GT7jXxbL2Opr\nD+I095WBgqaOcwF+jRrjCWgCekKFBaprKKShX/OjfiCCYVaqG9Z2YucK/o1RmauyjyvjRuYx3uQO\niMWilMmoDHEGgHCyV9n2jIZwO6baUxCrvWVotad1r9/jpHbOrQmgSJ3mA7AHfCTd75vHVddwVqvP\nK+9lxjoHq1k2b2PsMpkffDDD84fyhcvliz/yC15u3tx2fTQvoMJJycmJUE5PN+V6+/ZueOrmzV3v\nvYoauLEAVi+UwqYcX7yY9z85W4UCBmAowSo3BqMJqU1udF6IcAsF3ms6sCfAGlZE/yTyUQCr0Rhj\nt//NZ7pxY0v2Ng5AQreno9p7oJj+ax8mriwSRog3bUeV763MB9BiTj/9dJ4lRLFp8xgTFMj9qnF5\n+XImBGPgjMPly5Pmv3p1xvVX49NE3soIOSEjgNTJyZbETwYbrmjeiXnBiL3zznZJpbNKtMO1A/Xw\nMXoMhZ1G2lhW6vnzyYw2fEyezalzkG7f3tYfGSNnTZjVr4Y1zTeDBeDfurUl+hcUjDHHr0aNMWv4\nWb8YtDV80x1XEpq1Ubiz+VB9dpnGHj2wsgsNO62hIM8C8PWjybIN3SllfmuUC9ZtxgAG7BYD1oVE\nu7HAWAHHAFMN/coUV8b1TVs6TwWfPfiyIVRrtqHTy5d3X6NjzL35b7juJz+ZCc7y4sqaNxReh0f/\nP/10e658qj6nsksn60M3VZgHjDZ5OZS3LgcAdFFB966e3xhTINdQFNaiHgXG49/+2/l+lVNP5B1j\nGnTPbQ6MSwHHmLdW22HFG0T11utsPoxE4IZvGhZ59WpLiGwIhjGhXJsHYCyERiiAMhG89DF2FVtz\nFACDBw92PcorV3YVKENvizDFu1438OzZxsRhy6rYVy+whthYjDHHAEDDGgnFeQ8AeO+9WR/aHwAC\nKoEmRqMHzBln4A3FXcPHA28OmfHsnVc9rbky21yhd96Zu92OjqZh+/GP59wDX+aphwKen09QpE/7\ndq59+unWF+zOgwdTHrXVuN658zpr89OfzlOSrYselFfA4LuYh7t3d52JGtcyOWNMowLE1BEQEjFH\n8l0avgSYG87wfcaMDO8z8Ldv7yawrwXIIasFsYyozzGyT55sRlyfmtRtPOqcdE2s40QP6V+/C9gW\nBGCh1WFextjdLdv+kVF1ONrD3Jvrjrd2lkmiG1aGqfMpFFoWHePSkBNnB8AtcF1DYeSv+UPPn2/6\nX5+9Vwew2/yx7nQXwG3cnj8f47/4Lw5J0F+iHADQRQXTQZHVu1DWcBZPl+d4fDwNg8VgCzMB//GP\n5/fHmMaZNwgo3Ly5bZWW5GkB+Ux34jRXZ4zdHRiNgTfBWSgHeCmYAf7kpgi1YUmOj+cZO2PMMesO\nh33sjwRL24opJkqj95QVVFG8Vf5lI4yjsRSWBNJ4xfXk5IIIxamniZLmBKP0/vu7ITD9BGCa7Ass\nAUdlrTyLAWw+inqFB7vd1lwao3ffnSGXUvEF8WQNgHO+jTFnjLFuNaYUPmDw7NlssxDXJ5/sGo/u\n8NNWOTo8avkdDiBsn7v7pwfmNeHa5wBVRvLRo90QwloYrwLMJmNb410PlW9jRAYANs8lm+omw+aE\nzHIQChbKRjVfaIzdEHlDd2U2Gn4GRD79dBdslg1qKK1OWNcv4NkND94z72WVVxC8sjYAgPZa080L\nbOhOvWPsMm7WnLmnm4Qk6biCXfrBs3rYKmBk12ydDix0Q2Cdozqs2McegUGuyZz5aKJ6mSLjS644\nlG8CyYfyucoBAF1UTk7mlmiAouEWSrE5QleubCyABXv58vRyy7J063CpYp4dBclIn55uHudPfzoN\ncJNAX716/WDEeun1Kpp0iYW6fXsLX+hbD060WKswxd0pD95JvZqG95TVCxtjhmvE171+6dLuzo8m\nBHdHBkDD+Arz1Yj3Xi4hImf88Mi0v4ZDO2r4KGJtwETU2z893cKTDW82ubKeb0FQQxqe57WGgbQH\nWBQ+e/p0A9Q12hTqGna1C8mZOYybnJ41JKC/f/mXM8+J8gZkgRBg7dmz3bvKerAdkHh0NENungvE\nM3ByttawE3ZVfRhTbZDTUUBmjk5ONhnoXDRPQ+jx2HOFiwAAIABJREFU0qW5g9Hnmpi6zqU14Bnm\niZNCjzQU2fGmS8jMPlat81o5KTBum8so9NRsoGkNUfcZQBZw0s/bFQlg6U8vy+3r3utzmgCMIQUY\n6ES6zlxXtskLfVS2Wt2OjSgzbg1hZLGTTRSX3tBxMJ7kk+zrU0OndCVAvDJ/Za7YFkxrGVdOyXvv\nzXykywcT/mXKYfQuKpTVrVtbXsoKKrrQSnmP8Tr4qEdwdjYPWWRwKQaKp3kKkjV5NzWWDEATf1+9\nmp/FfvCiAQILrjkePnf//hh//udTwVcB+D7DWBYKi6StFM7Nm9P78bwCDMxRFSym4+HD7TNrGHJN\nyrxyZQt1rJ6WnAQswxgTTDaPoPkXDkQUYqtRlj/QmLy6KUW5LA4GbDit1D4FzEDwVuv16Rtj0/wK\nbe+uIM+rLF65shn6eszmUb4X8EHu11NzzUE9+IZu7ADjnQoXXL/+ek6D75gHhg1wYTTI0LVr27j/\n9Ke7TAEgahx54wWSnAn11xkBAIFKa8iacaUKMFfDC7z5bY4eP97NnSmL4v8mbdegYjdrYB892mUt\n9jE+nuE9DkLlp6FCa/nRowlKHePguZ9++npYprLbkLHQHtCl9Lob7KGxW8Nh2kqfOmOpaQfYPXWU\nmaITHB7aaz7KJKrHPPcgQ0C0RwuUlVplTH/cRVeG251fgJVnGbfmCDX/6fnzTf9KIueAszHNb7p2\nbbsP7FDeqhwA0EXlyZMx/s2/2fVO/O7BXpTW+sMba7Iso9qdYhiWbonn/Z2fzxupC46AHSwIb5Pi\np5SuXJnGXGnMmrKkBF6+3MIhf+Nv7NLw9VbHmM/v2UBVOIzeycnGyjx/PhWosfO5MSZI8J7Ti9HN\n8p4kHANcwjhPnszxpkwANuPUM2OEiXo31fn5Nk4vXmwsioRn+QFnZ/PwQX32I3+Acrp8eQvrlY2r\nshtjN4RxdLQpO20uK1RGqrlL2n5yMne3dVdMQ7ZYsLIJ6ipDoL9+AEqyr90NRzx9uo1VE29PTqYh\nKXvWtWWX1BjTSDRc5DVzrz9dJ/rMODBW1qSx1Odbtyaw/9nP5uWzBeYMMyaUnFSuClp6jlLBZ3OW\ntJ/hLTtU5sdnAD+7SLuhofIMNHbtM66ASs8T82zyWONqvnsCuX53/q3709ONkSh7jZloGHINrSnV\naQBzwaJTsbFLZfYKpuvsWS9th/lQd0GW+T493T3wFKN+69ZuCJhsGduune5YPTub11j4v+F2Tq+1\n2bCoULRcK0dKCO1hfX/lV8ahvH05AKCLyu3bGzXPsNUQie2WtrXg0KxdzOK3VfLvvLPlbPSQK6Ck\n3jUvb4ytDY8fz8TAu3fnjiKGR6GEf/zjqbB4daXhm4tAYXTnUUMoV6/O75cSbp4QJUfBdFt+lYC4\nO6+r4b4moGPLyoyMMetlCOxi8n3MDGV3+fLu1SYnJ2N8/PEuY8CoeQaWooxCD2OT93Hp0jzbCBMF\nBJcmB9js7loTmZ8/34AT2fFcIJdxVi9PFHBiTOQuaKewX8OnvEhAquCMgXXlQT3xgibPLri9dm1T\n2uovML10aav3zp3d5M7KPRnBMDDS2EFsag0I7x0LseZQSIj3OQbla1+bgMq6xepZu80zq7NQsOf9\nXoZ7/fq836xOlPEzPw0Vq7OHaBqzPkcOFgYFUCzoLSNRx8k8AOrGeYw5XtZ882lswmiunM8J1aiv\nIe4yP57Rfr54sc1NQ0TYEMB+dcCaTkBWyY/2AE6cTOupbak80xlkTThsdQTNAaBKRrrN3prtOu0c\nlo3Sp8rejRtj/Nqv7bLcPYOrdRzKW5UDALqo2IY7xmQsLESKrBTw8+cb4hdOoqAJ6kohW7AWVPNs\nKJDGlRkGnu3Vq9vOgnr5PF4UcpOQx9ilxClm4TYKX/tL+RdUjDGN/hozpxQAPIcMNjxnHJtw/ODB\n3J1GqQBhcmkaKuKhU66256KitXNNyqR09e/27d0QmPLo0cxpEXPntXc8hVBsX++uj8uXZ9gKsOrO\nIs/blwNRJexqB0yhtvR8HuPDcFLyDCiQe+XK7BfjwoiXGajhI6M1qmS/hlJOBMNcQEVuT04mQDEm\nNd7dOXfp0gRKjC6g7qdGlSGRP9QcuzFmLhIAox8Y1u7Is14L6JsL0xBWQ0sNmT59OhlH6wyb1hA3\nw2xtCuVgFcmSAy39VG4ACnqjSbIYjW566KGIdWyAVmHohw8nAJWH5XtCTQUT6i1LWmbS2BhDjs6z\nZ/OWdDK1OnNlldbcNjJQMGMujb2xoZsrm8YQsOHAkmupC3QyR4suqAPHyeCo0o0Am/npXJIXAOrF\ni023ky+Oj88a20N563IAQBeVon9KYE16a7x9jKmYu3tgjNe9DIur9Kyf5l+UHu1OLdtwx5h077Vr\nM9wkfESZlopW6hXqbw/hY0QZn+vXX/egvV5Ppf01hhgjRv3SpS3kI4T3zjuTTm+eSvNDbt3a6vY/\n41JmgAKpMW+YiYJ3hIB+SmoGnr72tQnEChLlSDAmvdLj4493QygAafNLzBMjY9y1v8ACmMQsNXke\nMGJY5PM07MdLpKwZJ3KBpTJvQPODB7tXBpDVMiTyuux0czqwkKWcmcqWevS3ISXGAd0PMDdx3+7J\ngpKybHVOtLehH2NPNpoL0vBeWZnmlPnp2FYn1JhZW4xmAZrnMZqA7Mo8MH4NJa5hHGvFOm1YvvmC\nvq8tBc50HDbF/BtfYd/T05mX052rDYMDpUBCd/HRf+Tk1asZ6pOLdufO7J/dhT3AlX7EAlYX9zkd\nd7Lf53ddr05AgY15Eo4rm9a8OePQ7frWr/ltrlbBDP2BPcaKWetkQT2Ab6/lOZQvXA4A6KLy6NEY\n//pfb39jbpq/QfnIS6lQV8FUIZeyHmMuXIuXMrHIV6+jISSgrIxST0hm4C1OBqjhHgqhNHVzT8bY\nZXgaFqsyti1UeEfogldT8OYZTZb1DP3RvzEmYGgelnYBdUBgwwzGVA6Fv3m3DJ0x8L721WCYc+/V\ni3Wx6927c16dt+TASOPb/smzKEtDEWMlymSNscvOGD9nNzXZm/e7JgirH4jSf+9jGu7dm0yeHCjz\nhz1iDPWxQKM5EmWkes4So8LovHq1Gd8aiLOzue1fsrw5sZ4Y7wIXco91A9BtEGh4q8al66fy3HCP\nMagsamtD5YCm51y6NNcUdqXhFUAA6K2+ADbKZjWsSOa1t/k0AIlSgMZ5aFhc/yQI+3Eqd3Ni6Dcg\n0DlUxo78+V3QT/+UpWtYsGEtutY8lv3q2mqIsn2mlxseLfAzxut3mqdV8NZwPN3k8Fugym/y2DGj\nz8kFxuv0dCZPA17axnF0dck3vjEO5e3LAQBdVO7cGeOb39z1pAn6GLthFR4lD17C7RrmqtIYYy4K\nSqYKvVT0GPNkaZ7KBx/seqTNJfB8YQRXB5SOHmOyKoxSww0NYVCaa55Cd9eMMRUI5c3I1VvxrF55\nUU+0bZeDw7B2Z0kVoLE6Pp6eIcXenR6eaYeNcXCFA0NXg0OxFgyZI8mXZSIoTcasJ3iPMY2g3KKG\nJBkhffK8hvawf48e7Z45VRC3AityOsbWpnv3Xr8DiqFkwCQXF9yUffFsc0GGgXdrot74GPP7NVbu\nrGPMzSXgLDeKjFpn5l8SNpkoy0SmGs5ldG7dmoYO02t+ypi2HwAo4F8dQDbMs3DLGLvsgXvU7FIk\n8w8ezHEFDIWTuya7Fhsqsv7KinltZY4wqAUn1hkZGmP+vQJ/oJx8e67PCnGvAB8wqMxZtwULHX9A\nsKF5Y+qza55TD4L109Pjy8YDudra+WrIy3fqIHWnHiDZnX7dkWad0C3ksPIOtK+hTEycNrx6NcZ/\n/V+PQ3m7cgBAF5WXL7eQEoNEIZVGtfgoWsqBElFP6XKKgHdGEfRCxhoNp33Kf2mycL1ln/Fsi9Ki\nL8PTnRsUpbNxhHWqjNRH6Y0x+8qDVu8Yu0r1wYPdranAE/asrMnp6f7k0eYwqAPoYTgKJBnS5nwY\ne+Do0qV5oGMTi41bQ2ZlpRgsxo0yqlJvuGIN+ZClXob66tVMMNVvY12Pc4xpuO1OapivIQ+KXmmu\nhrZ0XDyjyfDaTpGbA3U3fKX/wNPjx7sGsYnKDMV6lsoa/vX9O3e2ECmv2Zw1L8l2dSHo1TAzUEJ0\n6qohHGM37LLm3JydzSMaJJtrY3NsyuyQHcyezRAMXJ/56tUms041r1H95JO5zslFw3Lmf9VLQGpz\nruTzGDfhmsqDsJF1KcEd83jz5i4TXgBSwFSWuiFieo4e4liarzo4Y2yffe+9CYDWEGDDYMBl1+QY\nW5sL8AB2bWrYtHl72MGePt4xHmOyOd36XnkRtsYOdWPI1atzgwU26ORk5kW1fuvrcA/YlyoHAHRR\nETIioPXIG8+3EBoq8nrzZQAaeRqoeCGJUszCBRavLZlVzBZ8aWkLyAKtwqEYfH/NaWjYqHkcqwGv\nJ9zQXpkcCvTjjzemipKziI2dvIOTk5mQTHGsB6aJl69nc6zJrT6L/WkIzlhSXO4dU+pVmz91Xr26\nATMFQNKGnnljbsaYfTf+PHE7+cqOMAza4vtrGFBd2uFzBX+VOcakh8A1dFqlL48BwANOTk8nE9GE\n7zJEQMW1a9suFqCXgSU7a17N48fzgD6yAShrw8o+XLo0jTigcXY2k8Z7htSVKzO0ZydgwzNkSr6I\noxcadgIyGLjT0+0ZdARjTraAG/0+Pd2ef3S0ezZX2Q4g01rvOhZ2JMeeY3w7f5W/yjXg4L0rV+b6\n9DnhVXPXkHIdKXJZuaKDOBrNBfO5tr3yLTzVHY/mX1uFurXp0qXJNmJjO7crkFef+QAufcZ8NXey\nDg6AW53JMTLnPRzSb5tBfvmX51gB/g5j7SnoQNYv/dLU+RxQa+3rXx+H8vblAIAuKn/zb47xX/1X\nm9JxZkiPZ7eAFaCmtGwNUv9//nw3P+Tq1Xmug1j6SsH/9KfTEFlsDrETyrCgul2UF+j/hgNqbBmK\nMaZCsdDHmP3yGUayFLPnPX26KYV79ya9zINqaOLsbMbNSysXtFn4jh7gFdez7eWovL4m1hofCgwA\nLOtjTLEZxqvsSPNcxpheHEXYPCRjW6+9Cqz0/JoHMcYEsmt9ZRhrcOsV+9FfxkuIp7kIY+wqdAbu\n/ffnGVKMuHkQuiQ79Z5rMLE6tjqXhWg+x507G2BaE3MxEJgiXvGjR7vndLlL7+rVzcgwqs15A3AY\nY+PGSWkuzRhTxjgnrlIR9iIv8jP0pXkk6q+MkDUyoF1eBy7b5qOjTY7fe297rwCKIW3CdK99qL7o\nOT/kT3L5jRvzFPAmHgM5+rFux26+YuX8+vVNp5mb6gl9L3tS54BMAh+r3sOe0i3AzXrGWDcUcH44\nXRiXXkVivKQJVHfVkW159mwClnXt2QVGNrBswsMnJ9sYNd0AgOdESgEwXtrQ8T6UL1yOzs/r+h7K\nWj78H/6H8eFv/dbczs0jWHMhLNJuvawHrgA/FiSF4owgTEXDEAUD6kTdjjHfb7JmQ0dVgtpWRYyF\nKVugXgqkoS2fYYTXEODLl9vuLjs8xpiUrrBavUXjUqPjp0YWAKhC1Mbj481jdtWFECGA6PkFnA3/\n6H93TLVv9Y6bWLtexllPnoIy7gwGBV0D/KZSVq5gpl58wy0NhXp2vf0+S1+UNe+jxqqfK4uJzWOA\n3DNlbDt3nVvhp8o5xq+hIyCp7WpisPl/8mQzEj4H4HWsAaleYNuxLHgHiJpTVPbNc4EjxtKPuRtj\nd/u0UHEPOORkYBCME2ZX/+mXtnWMOQfu52q4EuCpLrGOtFM/L12a41OAVjmq7sKajTEZVe3ByABL\n+mPOqi84K9WN+qh9fqojPKOJ+u0XoKOu5pKdn+9e9VNZ666trsMypGX9OWH6r40AlrFyzZAxktDM\nOTXGwNQKGDsP5OzrX98A8aG8VTkwQBeVd9/djhpvWKgGjrdLKdj63jCKhVcmhefSuD3DYVt5QUbD\nImO8nnfSUAivpSG4hiDWxOaGkihCyl2ybFmQslvFzxJzf/azrS+/8iu7IGqMLdy0GvzS3KjoS5dm\nrJ6S4nk3pl8QY6wKuk5PN9bMfVQOKBxjN7egoY0yUfplfO0g4j23VDGt+QNCRmu/VwW3vl+gCsio\nV7vW0FUZluZRlI1i4Cn7GscyUWRk9dwxcAyApPPmV9Sbbhjj8uWNZbhxYxpcYSSXY65ArUDupz/d\nZeu0//r16UB4/rNn84LOyoe+t40N4zV3w7P03RiSCe9bFzWOmC0g3LwCYMKgR0cTqDQ02OMMvF7P\n33OMbZ20Mml1GjBHPmON6gdmRV7MzZtTr9Xpq/OHmeVoPH06dYrk9oINfSrA7jqrjhpjN3TuuRwW\nYc6CKczJ2dnuDi05W+vlxkDb+fk2Hxwl66cbCqoznjzZDcsZSyDmzp25Rh4+nMzdGLvhYHW+erXp\nqDrH1TPVL2dnu9eOHMoXLgcA9HmKxVOl0xh4i4XdBM4mUdaT4LVQTGdnG9iwUBse2eelriEMr60G\nXFmBR/9Xl4PbnPHSXBDGgWJjELQf2JMU+uDB9BrthDJex8e79w15bd1GKnGQMXj//d1EzBoVz3/0\naPc1yZ4AFEoay+McFuPd854aZpJcW6DRcEbHseyBulDalHznzHgW1NRQ1PCWBu8OkSrHhuuaCL0a\n6h4+WFkuE1hlXOYFy4bVE9pkZG3FBwLr/QIgN29uoPj4eOa2OAfGs8fY5lRCtZObGyrVz8uXJ7t0\nfLy18WtfmwwKILbmn5TZ8Lp61m3fxgbDwHFp+FaosKxdt8YDoPoLHAiLa4fdeJgNuwrl+4yx+3zj\nQBYLhAH3MgZrXprPAw6M/L/9t1OutcUaqDwDdrbwk7vm62CLfNe4cUyUztEKvDifGF6ApyyTfLwe\n9UAH0MHN+RE6BJSlFmhDwZldiHfv7o47EMWBBYwKDOsIlS06PZ1trmNbJ7PpFHVqDuWtygEAXVQI\nO4VVpTvGXJhlgQjn6inViMkbELdnhKs4SxVX8ZaJKajSDoqsxnEtzTlg9IGws7PtkDMhLIxUExdf\nvtyM0oMH06Cdn285HD0i306lMWbuBsNoJ5O+AzCffjoP1cOcUEoNCa3bYTsvwnAdpzUxXbvkdpSB\n6g4Ryu3q1akE30TX18j7Md7AYGWh32ek6nV2F4wwTlkYodEmOCuVxYatxphhuYb83NXWsFU9c/Ki\nf0oZC/0Y4/UdM01cLfiowbHrEmi+f39r140bM+Gzhp1RlWOyApgyRWW5GsJicHp+zhjzgkvz1DH0\nWzvIXg19k7PLGmOmTk+n3H/66TYPmKwx5pwC0daFO+/MLbZBoUOsPyE23wGQtam/geayM8ABh+Xl\ny8mmqtOOP/JA/5ThIWsA3rVrUz+QefV1jPc5gtig5uoAJWQWm/XBB3NMAEjOA5mwxhvW1NcyZRi7\nn/xk6+u//te74Gw9nVwB1o6Pt+9i1PQBACQrQqV1ZOv0Vn8fyluXAwC6qIih82xrAAt4KP7G+us5\ndKGOMZkaYMJBio2Zn53thoBKv/aAsDVvw0Kxo6ZtXPNInDSqbsmFWJjmu4hb+7lxY4z/7D+btPG9\ne7vJoGdnW7ji4cN5YrUkS9Qwzw3guXx5JoCWAl49wP4/xlRap6dTufW6ieYvUe5rThKlNMZkCrBJ\nVeqXLs08FiHQKqomWxbArDtfqsTKJHmdEgb4Km8NERhv/et7+r+GK0vnAw1Yqt5231Cj8IyfhszW\n8EXzpzpXBQwFYZL+x5hA6NGjTV7ee28XVDV/q4a6Y6Aeh3GSDfNXACH0aQeiOsp8rca3TK71bd4K\nwoAhf5M5ToVjDt5993WPvmNzejrXpXG0luW1kD1zdn4+L+OtU7I6ZOTEXBVcAo+XLm3rGxjDpHaM\n3n13l0XBCjdNYIzdeZfgy+BbIwX6LeYdYLArt4CujhygDnDRXQ2BcW7JJOZX6O7x43mXGBbt1399\nl0Ulmw1BW4uerZCDd96ZjHl1QxOcjZW/VwdiHZ9D+ULlAIAuKrbDNg7cxVmaew2NWABNerTwLl2a\nwMO218acC45Q+2dnuweXNbFTO7AipU59xuK6fHkuKmEIRm2MWY9DHJuACwQwSj/5yda+69fH+L//\n79kH4IB3/t57s73AoPHpLoyGWcbY9bwbstPGJiwDkT5bBmVVvlUcZQCa7Hl6um1BbWjIvN+4seU4\nreeBjPG6UqKI0e/a3PBEd6Bggpqkqf31VOsp95nNg9i3m4bBXGXVUQI9gXgNrzF+Lqn13V7noE2U\neAFr2RLj5nqVDz7YDQlbK+poGzAcHZuyaUDY1atbf3rUwArYVgDasS4Q6npe57lJuet7+i0sd+/e\nbq5SzypqOEpf6Z3W53tlpfd93xlbTUpWKjsFr8DxOpf9uX17OgGffjpPQl8Z0yZHm6P1t/WBBeOw\nGGvjTY8Bu2Xex5gy8e67U4cAYQ1nn55O3WadAzHGk5xeubJ7jyH9Sy8Dl9rotzaRs3VzwNnZGH/x\nF1vd8qUaSqxTVYa3uWdCbfTeoXzhcgBAF5Vnz8b4y7+cxh/wQPuvTBA0T6nYCeB4ePWMsbvNtEa6\nVGe9pQIkoa+GxiivMjZVIpcvz/MmfvmXt4VTRkSMfN3pACBIIER5N3H1/Hwm9V2+vAEefdO/lQFR\nVoaiRrPGr4yNft25s8swACIMAJDUix+1oaAWA4SBw+Cs7exuluZA1YBqR5NOARb1dldLx3l9XsHS\nGFPOuruwoZiGWwCr5uD0vbJAK61e4GtsfX8NJZW5kl/TkGBDGStYAxzkVgFm2JGySOrblxfhdfWT\nkxV0dVfVGh40b/WugcZ63V3v5vn4eHr5K/gBfpvf0TDJCu4qewXkTdrV9ovyQFq39Y198v6+Ndnv\nFyDKqVn12IsX814/RlnorUC6ocOWS5c2UHXr1i6rVTayYKOJyEDOlSu7R2VwPBv+thkD2yf3Ddvd\n0K75ATquXZtnhgHUxnZlgeuokEHOKcb5V391yvq+c9mMV3XbGFOPYKMO5a3LAQBdVIRkCGRzBijc\nMaaHhsYntBafs2iqDFbFQtHy0seYoGofA9At3gBPjfwYM2bthnpe41/8xe7OGIat27O1z6m6+nN0\ntCk7iZiUQxOd6zUrlMVa9nnLZdVKo2uXcW44hHIF3rwmj6iM0L4iJGgXjfY0kZjBK0Bbcxx6eF5j\n+fVK5RY0t6w72shWqfoyHJ7p82UeCpbVb6yaz9C50dYViPd3x6nzREkXOPi7Rno1tE2eHmOCoStX\nplHz/AKuzzLYLZ0jY8pIMpjqb47S+rx1rNQp3EumMIs1ZgzszZvb513jUsDTeVZv80LK0hRsNses\nY135bt8wTa4U6TiuslCnQp97mj2HiMPVhOE6fca+TJr2rDmVnS85VPSAOaDPtIUOxIL0mJJurqDX\n9MXY0a2A23o8xxi7Bzk6jwfT41llo/tMzoJ8RyHtnjuEHRpjrq1u+R9jjoPXzMNn6bNDubAcANBF\n5eXLLf5rsVJuFiSlVGW0etwWSBXCGLtKgKcgFIGNqOI7Pp5bVClX2/Lr7Yyx69ldubKBLwsfYNGP\nnpnC2+GFliF48WIDUj/+8bys8fbt3fNMaqTG2PVgVmPUsIyxXJWvcS6IWI14d7KMMU+ELjs2xuz7\n6uXrG4AIwJQWt4tjjJl3UEOvbca1YGsf+0Fm1lwH87/mQTQ809N5jWGVYXOA/kOXro96/cI/dm1Z\nP8CPNaBcxFB0rMoWlX1aDZtnFsyoo8BtBfJjzDXD8GKBAHAHC3JMtMcJwa0fU9nQXR0Y896ddPpb\ndrCOk+c1v6v5S8LgHd+ui657aQDaevnytvbLXJf9WJnTrrWy4u7ho9vWHCAhqjJrZT71WZsaulvD\n1nUOMUly+bAwHCvjiSHSHuB8jN1QnHF2LQUZav7ms2cb6MSM2e2nrffv7+5qrcwaG2OwMrSH8tbl\nAIAuKh98MMY3v7mb48MY8dDqKSqlnsfYpS0pPuGRs7PJoPDyLf4aTguriofn2VvHx9g9EA1TI6F7\nDUUJ+6CbV4/WQucJ/Zf/5Vzsq+dWcNO8oXqqFMYYu7s5uiuuY9XdPZRRDarP2KVVL2qMXQOpXW23\n3Tc8PMYGCDVPaHRGxm/Kr+B43zPLKjTxsmNXI77uilnHd4zXc5z+upUViAKWBXlyoxoabFhHvwt2\nxpj1dkzXcSj4buhsBUnCIN6z3st69D1r6fHjKcPmrcnRY8xwrRzAMWbdwFbDOisbM8bMPxHWXncZ\n+WyTphu2B84ZWbJcYK3t5F2eDIbl7Gyek3URQ1bgZr1iSY+Pt3rq5HVsu266xvpM/bBzSuiL49d+\n0wOeZXyA2ILBgkZsjV12dqzVsXlTwSY72uH4eMtNMhZXr27Oo1zMd9+deki+5xoZMMf0gd1sh/LW\n5QCALiqoTV5DL7mrAhljP3Ve5d/QhYWqvl4TMMbri6tAaN2yi2K9fn0qkG4LtvD99IwJSqnJeRRJ\nvVpK/Jd/eftck2AbElgN9BgTiFGCFFDDM+q/fXsXoFFIDYuV1lcfZdVQkMLAdTcT0PX8+e62Y8/G\nCDx9urVRvpR5PD/fPazS2HkeCnydxwJjBlAdBXvq87nVkP11BDxl9Tr/DIpEXDuZhDPOzjZGoaxm\n2aKyN/27zILnj7EfQIyxCzLVsy8896axLUDHYFg7DKkwyK1bM3nWc4Wejo7mFvsCmTXk1N9AEjan\nYU7MzBi7icddN3VI5CIeH8+dS82jsT38G9+YbAXQ0TVfR6IsOAeiThs5t77WvKCyJvtYu7bf75Xt\nMg8FrC9ezB2mBZr+ttbVbxzsWqWjj493d2XSJ92kUAfG+hdiW9lHutfnjH3Z3H2yYJzp0DH2g+FD\n+VzlMHIXFUl/a2imzMgY+8FP4/F9XZ1VJupo+MJC97fP2areo/kZDwZyVSTaoC7M0+o9V4HwKN1K\nfXQ0D6NTVz87xuxvqVx9vnJlN2RmHGvACsovY44/AAAgAElEQVQANfWUTfAsoKG5MlU2NRLG+PR0\no5x5t+q3q8UYvPPO7qWZXl8V9dqPFRA2mbhGt6FUY63/DQv4+SyP87NKk9p/XqX9WueDMRpjGrfn\nz6e81lDevDmB5M+7lAXRPszTGjpbjelqhIXphOzG2HYIMvSA+N27M/lXIq/1dfv2ForGej15Mo1d\nnZXKq7ICmY5tNzus+SB0inDPGPNzgJn8ROEu3+GU9YyytX4hJOE+GyLWsG4ZkzV0Zy1UlxX897N0\n1Mr2lRlUl3Hq6dpl1xXP5bA8e/a6nlrnohscMIB1Xk5PZ55iAZ7nNBG/of+zs+35TUcoA7o6dm+r\nEw5ljHEAQBeXmzc3erJMy3rg2hi7CpUyRMv2MDkXnFpcPYyrIQLAh6fRHBg/ng/MCKFRvM2LALp4\n4cINFqAF1vCXhX18vCURY1p4ScJM9egs8DIpZ2czBEB5lOlCWVNsq1fV+9XWGH8Vf0OGZcwYQoyO\nRGcn3Y4xlScwZ0tv55MXrF9lDFavWBsKSCsrzd1pSPXy5ZnnpT0FRZ5XQ7lPCWq3kOaXZY3WPIqr\nV6dn/FkF23nr1px36+f8/Oe3i2UFCGX99iWJfpbxqPHl9Qs3OEMGGyMXhLe/yrfE48qF9dv8IWu2\ncltnxLrSpwJ6bVbHmltoDjCZa8F80AtjTJB39+4EbAW95KA3uNcJbBvX0vyijvWbZNyYGZMy2p3P\nPn+M3QNYeyyHPDPrTv7k8fE8ewqQW52zpjRgywroyB4wWGe27M3jx7vHUFQH+pFjaf0CimPMzxwS\noL9UOQCgiwrWQqEEUKHQvcXb3ALMBONnCyrDhIlBmwuz9a6aLuyVGaJY797dTRTUJopFAqP4PYXX\nmPwYMyRhYVFSly7NOLirKNb8lTIMlC7Wx+Je82Aa3mleQ72dS5dm7L1hxRVwAmWUb5M/tcX777+/\nq0hKR/N2hWwc9gZc1pNdKe8yDOrWRmHFMXbZwTWpcy1vYgPa9xoNbQIM3xZgML7qa9jg85ZeAupc\nmOPjGfr7MuCn+VAAgvF8m3rX+siHu/DkiFg/TnIma/LnxnhdlseY8tRdRM35EY5iIO0SlLfTnJA1\noXwFAi9ezENQne10fDzbWGMN2JcZOz2dDHNBg34BYftAZ0F518ebwEq/I/elfeqaWcNi60/XRVmo\n5pVx7PTj7Gwbqx//ePb7xYsxPv54t/11dsh02c4Cl85Vvy9/iF3gZO37rg0njx5t+n2M3XECMNfr\nQw7lC5UDALqouFKBB9RQBuEdY4KCfewQ48eDtFgdstXtpG9iBgpqMEko7fv3d3NEmrvTmD5DrL2Y\njJOT13eeVfGU3eAVr2GCer4N3RSMFDhgm/aF0ij9JpZWQawKlXK+cmWCuAIwu9nQ2p0b8wr0SAK1\n4+PWrd1QZqn2dVfOZzE1P8+8nTW82ucCKeaqn19Domupd19A90XbfXKyhXd8vyDvbcHPPoDytu0b\n480AT7swKcfHM3w3xjxQ9ObNXeAv76aG8qJnM8Ty4LCKDqMs66Z9qyHu2mjStnzFV682I0oGC7oc\nEqnurgWsCedijAl8qpOaEFyABlg1NLQCkzKlZLKyuYZsfVdZQ2CrXvCZ6h6h7rbRoaZr2Nz3ta9O\nVddKmal9/QEOC86MZxm8jo/5evRoO4fu3XfnxhNMn3q6W/JQvlA5AKCLCoXtfImyMmPs/q43RCmc\nnMzzLJ4/3wVIwMW6fXUNXTX0UA/tzp3dRMfm6liEPTNIe2qE6jHXmNeDa337khsZWuxJ+4A+r3Iq\n8GF8ymD1PJieBKs0hFRKWoLzvXvzsxS5djt9W9vUXzald0B5RilzRoRh8HzK/t9HXL6AswmdSneH\nNARTgNbcgoLlt2VmeNOvXm3jt+5Q+SLgZ91x+WUAD1lteNlc6bP1aH04DmGM7f3uErKNu0YReLGm\nP6v0/cePJ+uKoW1yeMNEBd+rUyIM1/w/Y60vDuS8fn06BdYvlthnuy7ffXc+syHpnnlVpmtlwMjY\nGBNErTvZyur4XEFEx1pRL31VdqihRE5NnQTyfnIyxs9+NkFKQV2BU4FUc3iMdUNRGM+ysQXwXm/U\nQL0FlJcubbuQ79zZ5OSTT2YYkw497AL7UuUAgC4qlEoXxAqAumjH2AT600/nttU///MZx22iYxfd\nmtPhdYtCnb7z6NHG/GBOxOJdHNoF/+TJBFhusB5j3gOGjVoZI30pW6Ovr17NbbKUgKTAMXYBkz4w\nFABfmS1KRA6MZz97ti18Y4QZUue+kEyB49HR7u3Lwhfmi1G4dGkahZb2o3WQjZ8Xq/N5S3e/vCmn\nYy2UOmPAaDQ3qNR7v7fPqOxrE4PoTq21YE7eBH6AzKdPtx/J6PJtHDdhHa4J7wXYZRcaLjJeZRZr\niACR8/OZ7F92aIwJmNXR560Mxfpef4RsOyauGFlz/MrgVcecnc1EfUm+LRikMbY5+eCD19laa+7O\nnd2EZg5bgY02GMd79+bYdN007LNPXoAA/TevZdTrYO1jjuqY9fDCFaQBF5yjgpACfvNhHWCy2z7j\nAFBVJ2ibdIZ+t+Pn7+r6yoTQakEQB0ff/vIvd8HS4TToty4HAHRRefZsu+/KYqXgCK6FWC/NVlkK\n5ebNXS+rrEbr6eLvwuNRMC4YjNPTyeKUAreIeIDdmdGESMalxtH3XVBYz4XiBHpstaesew9OqV1b\nhvvcNVeGQnz6dHqVgNcKAt8UDlBXlfKlS9Ooy6swHk6zdQgaur+KZx+b8/NOPGw+T73ljmFzpQAv\nxqmf7f8rKCjAXb+zr59kZjVA2qSt5NE1MGsBfsoOvnq17TC6f38z+ubIDsc7d6ZhcoN4Q1YNVwB4\n3Ull/WBEyHKBtyKkbEt4wxzWRfP4xth9jvb4bsduBVqV64Ic49+8FIZvNb7kGBvl2AChUMzMCgre\nFHai2/o8jl+f7/X1zrfOwyp7fb2ythr1grWC233juP5vownwcXS0ez+XeXPGlz4DOQ51LXvbtWfe\nAKQy7jaWWAdl4FYWqwC1DLm6ATf1Y53LFGHwjNeNG5OhO5QvXA4A6KLibJoxdj0ECsViPzqaJ6ae\nnW2sxY0bmyKXCM2Ij7EbZqrnWG9jjE0xn5xs7Xj8eDtHBHg4Otpee/58VzE32Y7h6RUVVXw920Kd\nPJsVaGCavF+6fzW2FPUYuzdte69jSSGvLJm6VvoYi8ODdYgkpawdjB7v7urVeS4IMIC5KuvW+a3B\nWHcUvYkRWUuVeJV9t5HzxDvmwjVHR7sngH/WT5+pP77XnBWf2VfWPvkcUNAQkjZeu7Z7Ea/nkN8x\nNlmVV4LVuXdvU+C3b09PvuMkhFNvmiwyEFixsp7a291L2uH7QsI87lev5hzY2WQXV+Wi9ZITrCI5\nKfO5hjiOjydT+llhs/bR/BbA9kwdbXznnXkr+8pSq4PMafu+sHx/AG2sEINd4FR5azi4ct127gvl\naU/Xhs+vjoE6rEF6D4h9+nTmoXlPHqRxunx5yo4z2NZn9G/6pGGr99/f1mb7IAexeTpjTPlr3ZUX\nQGwFTp6trXK6Xr48XIT6JcsBAF1UnA1TI1iDwjsHIm7f3haEe7/G2GWHxtgFAEo/QwlINrZwPZ+X\nYMFeuzZvZ7d4ui1VP7AIPYG61HYVCY8W61BFK3lwjF2F0fAMynlV7mUC1lJAudLfvNuVGTo52RTC\nxx/P+tdcLcbADePARBXNmmdhjijiemhj7Hrlqxdc4FSjwpA0nLEyADV69cgLwHiqBWAFLfsAUV9/\n02vrnFapAwnYSzshsRFuyfZZl2O2H9evz7BJQytOMffMshOrYfVj/TQHrDJc+e/Yd2y031q4e3c+\nF7Pys5/NuSf/6m+5e3f3rJmepIxJkVuEsVoZpH1zaQ2VmSgzC5A0QXcfmAIs6QhrSF3qXlkK448t\nKQgtWO13y7IAhtrb9dnPGofqxa4fOsnr1kQZGrpH/SvYqwwVlDacVL1uXgrKxthNXWhb1Q2096iR\nFvWpy/gIrWlDdYlxafK1XWSH8tblAIAuKhYTwXNQGMHnDckf4Vk8erQbT28IrUl4lFDj2MAUhWwB\n15NdE5vdMTTG694VzxjT0fOHKPIamnqGK5Dy2TGmYqQsVsPjM/t+r8rS32XIChrVzYBQOO+8M9ml\nzgcFIhdAv8xLkxEbfqjSbZiC4RA+owRrhNvu9unoaHp4BTyrYdOG27d3AQDFTkEWKKvL+KzhuxU8\nrHO5DzgB34yreQagG2qRV8EAkbHz8y0kZndUwT8Z1PZ9F1D2f4pfnlHBWLdvA+AcEuGuMXZzxo6O\nNiYVeOM8GIOyqGVblTKuNZzWpTEjT+fnM5+mhqxyVea3RngfYN13jtaaq6Nt++a77FfvA9MmdXWO\nyEAZ6wLllS1RJHWTyRp681jm0/lc5r3M5cqe0jllgT3f+NAX5qLhtzK63itgqgzR1yuL7ln7WF45\nPdbVGrYve0XfFnyVnXQsSrf0W3+H8tblAIAuKlWIDSGcnc2TPi9fnnTro0e7YZ0mF/usheIUUYvm\n2bOZSHrjxjx8rQl8jGlDMaWRKQaGYIwZXvBs75exWAFKw0dVAl3w+iNMUDahQMb/pdL72YJJ/3ex\n1zNroqrXOg5+M4bdrSHfp7kXVTj7lLvxaT7FPkDoO5RVARm5AZ5r1Jrv4Bllfapsu9Nr9dQZ3jU0\ns4LhepByrRjCHjbJMDGCbefR0fa969enHF27tgF2r+lHQzbGs47AZ4Ex7Rzj9bvyGFD5bmTR0RI1\nLH6ePduYpvv3JxslpLuup65R80DubR8vuOwYeS5ZryE3H3KbgMwyi03WNgfmt3LQsfR7ZTDMZ4F+\nHbiyNw3xtK39XPvcOshhAYD+GNtVzvVLHQUOZYouX55ODtBCn3W+jFHXDflcwRqWrvrSDtHj48nk\na3v7WGasOn49IqCf73xV1xa0S5+wdsz9Cpz0ZV/i+6F8ofILA4D+3t/7e+Of//N//lf/v/vuu+Ph\nw4c7n/mDP/iD8bu/+7u7X3zwYIz/6//apRpR5s7NeeedaVjL6tSjU9YwiXDBy5ebQr5xYzcU48bk\nMeZCK0hZFV6ZEmeV1LjzgrvtvAYfO9LEu8bKtYOi0P4VRO0Lq/i74YO+f+fOLkW9FoqE8u1zClLW\nvKWycDyygknzViVVL3XNIfEsgKcghSLtvGszeSgb8uTJBCNNuvX9jiOFuIYitHkFnyvArBFsXsbV\nqxsLsgLDjmkV/4sX82JHycs85vv3p/wJi63t6Jjs+7syWc+8OSHGvWusOXj90QeMz9e/vms8bFoY\n4/W8t8q38cd2rWO+OgG+X+Ouj2TOcQF1sMhDx10u4r5QWEFH5bVreozJQq1tVDrfa4iV/HZ9FQx1\nfXu2n87pGqLrOmp/OraeV726ArCCX8+yvtc1UPk2xi9fTiYQIJL64NlCW10nHXvsXNeK9zpOHA46\nyBp04GtB9KoLK29dz4fyVuUXAgB99NFH44c//OFf/f/w4cPxwx/+cPztv/23/+q1H/zgB+M3f/M3\nX//y0dEmmBbJGFviG5rUAlsp7n0MRZXG6u1auA8fTmWNOqaIxNMBIt5Oc0MAFbulupjeRGGPsRsX\nV2oMhA5W73JVgn6qwFbauUmiNd5V4mVNGJyGYMbYZc/Oz2du1Bi7yqGAYv3dkFkBUA9QxGDU4GqD\nfJ3Oufer0MscGpMaQsq1MtFQWuVJP1dA05/KTee2uU0AM/Cwsibaz8uV9Hzz5gSSvafs5GQDsW86\nFHRlv8xNk2rJaMvKSK1hhJXZaFjFWnr8eLJIZT1qtIBe7bKTynOFNMgXw6aNNYrm2TgI7XR9NYxa\nJ4L8aY81sK7bAgdz1PC2w00rEz5fwGLsVp1U56ogbmUXy46UAakB9/8+3djP1zmqHqDT1qt4VpC2\nMkfVYQ0T+79nf5kLc962Pnu26WaMeAF515pxaJ8xUXVkC6bMPxmoc9xxan/JyNe/Pq8vOZQvXL7y\nAOjhw4fjvffeG/d6ON4YO+DnX/yLfzG+9a1v7a/AuTnn55Mul8fQBLfSu6uHpFRxlY3o4WMWN8PL\nKNRjqPGsYunOkgKFKiVGqTHlvt+Y+D4wU+VVdqJ9Xz0X36HQHfJWZVJw1b+Vhn6MK8OLIRCmKMPS\nuhqaaMigHjP26+RkY/+8V5an3nEBIMAgWbZGporX39rRpM32sf1fgfT6/DIMHe8yGWTN8QVV3Gso\npJ62tjx+PPt269ZU5EdH83617sSr01CA3FCd+W7+iXaQ1+PjXc8bW2IsGnrQV4xUdwCenm5zWhkY\nY/bTNTUnJ1udjOLaJt/tGjFHBUzVCQVkBUHkvwyg8QJm3Ae1tntfO2o0K8sF6S0F6R3TMqyV1c6l\nPr+JUVrb2PHoWHIWyMb6XUD72rXtLCPjCxy1vytY4/zIT1uZTHr2/v3Zn5XBad/aD/k31ZFHR1NW\nezBlQ5kFkT2tXd0FcN29W33v54tcTXMor5WvPAD66KOPxne+852d1+66W2WM8eDBg3H//v3xzW9+\n882VlHp1rs8aflrPalg9nfVzEvcuX573A1F4RfSMigVFyZZpKMvAUyxb0dLvASP+7+83vdbEQaWe\nIIVUr34NqY3x+iFlVf4FOU3kbC5BleebDHiZkCrdeoLyq/Z5yZ33KtsViDIQNXAFv2UG/K5nayx8\nt8anyncNX3QugYjV2GF39G09YXjNqShLN8a8D+r+/d1woef13iohw/ar849ROTnZPWqhHvcKFiQ+\n9+66tt/fayigfcO+lB0ps6nNGF13Z5n7MjcFv5XDljoIHJ0ymWUI6niszBYHhd5ZHZGC5Mq//u+T\nlRVEkTVgs4C8Y1BA13a/SdaNVV9bgVtL10jDhnTACnLoODqxffP3m0AZdh2r3dDqqjdWMNu+VE+t\nzkodVyBsjNfP4PLdNZFaH5rzuDqFR0djfO1rBxD0JcpXGgD90R/90fj2t7/9mZ/53ve+N/7xP/7H\nb/7A06fzLrCzs90FR2HXc1pZky5YC2qMuY2Yx1MF3nwE9fq/Sr/PbR2rwqnHUSM+xlQyfe7q6ZWi\nbuir3hHF2S3aKHhKrIqrTNkYU/lSNlXsq2c3xgSM9Yx4X+t4tk++6/fqGZcZalI25VilCtD6u8Cm\noEy99c6rbPW94MpzKgNNYuc9+lyvdGgfX76cuVWdJzK6sl8SQwEbVzWsYS3eLPmg6OWu1KBoD/nF\n1HU8Vs+3AMWpwzxq7GvDdQC9fBB997uH2VnL5u/0dPfOMmFosrCuqxVwFQxrj74AlNevb45TvfgV\nRK9MTkNz1SmdX0WfC0wKrlr/m0DbKsd+S9D1vufo+/qMjlW/U5YSgDYP5GF1fPYxUKtDtP5dfbkC\nFic4czL3sVuVW+2vrisD8yagVVC5D6Csc7Ce5lzQU4BeVqq7AQ/lrcpXFgD92Z/92XjvvffGnV6D\nsKd89NFH43vf+96bP3B+voGgGqoegW6BVmDHmGEyR/jvM8D7PC2Kj0KnJPr6GLteUZXa2hYKnFLh\n3VIw9byFkVbvtKCu/SgjsxqUMkHqLJ3bLaXGo3kOxgM7U3Zl9bZWZdQx0+Z9SnT16j5v6fg2edqY\nVvFWcfXqDMagXu0awuo4VmY6l+1bjTCmZYwZKly9y4IxrzFMT5/O8X3nnd1rBJzcrI4COfLcv/eF\n1FZDvYav2taV4eyJ2eRWO4+PN8B25coGvgGbNd9MWNP8dby7pox3DU+ZN7KkDfpJ9q1h11xYI2ud\nnb+yMCur6HPr+lzZHyB8BfsdgwL4ltW5WZmH/t35IWMN16mv67AgnOzYcdX2+W71T+emn+la92Oc\n/X1yssnI+fnrGxXWflWnrvX2tX1yXND/prICP7InNFzd3vVdmeyhtIfyVuUrC4B+9KMfjU8++WT8\n8R//8RhjC3X94Ac/GN/61rf+Ktz10Ucfjffee++zK7p+fYz/9D99XQl1AZShKBvRcFWT+3jCY+x6\negR+38WrVX7qWBfbytjUsPt7X2x7nyFq2afMOhZte0Gd73aBNxxYqvvSpXnGztqntkO+gFLWqmNg\nrFYltZbPAj9taw3fOrZjzDyOgtYxdj3T9RqFzqX2kZUVUHxWO/eBa8+Ssyb81Gd2jMbY2v7w4TQc\nr17NHJ/eQ3fnzusM0JqE/aZQyUXFfJrret9NxAfETk52L/d8+XK72dsa2+epHx3thpkBgzVsXDk1\nZqt8AxE+52DFAvlu4S/I6ZzvAzJKweu6dsvkru+t8lH5B3y6G7TP7m4kY7PKa5nwdYwLDpvYvhp1\n42bH4Coza1J/jyyoHt23BozHp59uddy69Tpj0zrWPDwOmf/3/azz0jZ084W+1blsUj+2sEdg7ANc\n67xe/sqa8H8v5Ss7emvez3e/+93Xdnn96Ec/ei05+rVy9+7c9TXGLoCwfb0C3MVroe5TSF0IKxNR\n5fhFWYoVrHyeUkNfz7sKkBIGZIQbFAqNYt3nHWEs9nlU2n7Rz1pWJbH+rlFYjQPF1P/3zcOqZCjH\nJvMaK4mzq0FbGR7119D4WSnvMnZvGhMKt3LpUlm5L2WUADVG+8mT2Z4aBSca1/Ns8mjDTQz/m372\ngfIq+j6jbFYNDSN16dK2bbke8LNnGzir47CWFQitxmxdA2VBjN8KcI2DQznXPnyess5lf5qjsk/G\n136ubW+d5HXdkdY56e9+902OwJt01D7guLbpTW2u41SmpKxV5+FNfT0/n+CzgKZ9XFlQvxu6qr5e\nn0dO36RLKuerDvO59bMr81cAus+xPZS3Kl9ZAKQ8fPhwfP/73x9HR0fjD//wD8d3vvOdv2KAjo6O\nxt/6W3/r4koYvN70i2JfD1Hrd/b97f+LQE4VzT6FvE9hflb79ynXN/2v7DMIjOmaTPpZ5U1GZp9C\nXQ3i+tqbShUYo96E0xqS9nVVJmtIcR0Txlf4xKF7VaJjvB6y8PuzjJMzhHiOBdsN+1Q5MgIdp5OT\nDWy6AFIeR8dJW5ybU9bp+HgCKHk3a27Om2TmTV5rGQPjWznQjwI/7cQoAZ12gTn9/OxsW5vXr89D\n9Dxzncs3lRqnyl1lvKxsyxq2e1NexmeNTf/eZ+i+bJGjJQ/pi5YCoH2/1z4br31HF/Qzn1XeNrxz\ndratI6HPzyqrDO9r58+rvEnn7hvPNQy26kvtu3PncB/YlyhH5+efZTkP5cN/9I/Gh//H/zEN/75E\n5H2x4yqxVaFdNOT7FHjpeEq2v2tE1ufWE6134XNVwJ8nBLbP8Km3nvvn6V9/t84VHK0Ko4m6zTui\neNcbq1cDtoaW6nHWmBnHjnG9O+O1JqG2vMlwtDSHoUniZRJrYFfgqN7nz6fH21yrXjTqQsXz83lP\nlRyfJ0+299999/MD3IvKqsDX/tcBWFkTnvzZ2e7N5H3PqdQ1LG8CaGspcPyibOsXLW+S57dxarT9\not+cAQ7Lmwz8mwxtn/V5Qsprfxv6Loj+d1Vsde9p7F+1Uvn+dymvvwDlK88AfelyfDxDCQUk9aJW\nr2ZVwjVcAEqT3wpuVsZFnZRzt2oLuTSE0uev4GiMXSO+GqN9IZr19/r5Gl+fa7we1b4vpNHv+Ltj\n2TNSevN3vXPGuyEiITqshzyWMiHGvkmgPMbm3lDiR0dzR9IKSmss9oUrCmJqQLxXlkMfhNd6urF2\nyC3xPfWenOyykmsuloP8jo+3z3m+HAxbwMn7Fymf5RSsTGcN8ZuK9p6fvw58FHOpL3/dy0Us5tuU\nNwEpO/qcJUOmPou1I39NGP8yhZ4ko3VcxtjN7fmyBfjvKfdf1fLvQo5+QcsBAF1UXr4c45NPtr+7\nBbtgoXTlSl2uYGGMaRBXMNMQg8+tnlgNLXDQ0sXRuhgQW3LVv+9ZBVFruENZwxfaIkeCAV8PH5MU\nKozW8QRIPIvhc4N7d/M0Nl5ghtXwubOzedZRP1t2pSCs4bPz8+39a9deDzOZr315HmuYr6zcWhy5\n37u4zBNl3mtW9j3v/Hyr45d+aRfo9WRj8rIv38DuqefPLz5VtnNVENt6992A/UUKI6ld+8qzZ3NM\nfpHLagzN/fHxFh7562Qoj49382roCZsgrKkvWgBl+XeHciifsxwA0EVFXkYZCh74GNvCWxctY7DP\n61+VlTp8rnWs4Smv+84XocvrkTd5uc9/099lfda2YCGc+bMa2IILuRpO6O3p1s0r6niVTen/TY60\n1b6HxmkfpWreCgA7NoDb0dE8LbljUGaDkXn69PWk7zUUWOarz2mCM2YJ4Pu8ShwQefp0+25PAgc0\nr1zZPe6/obpuAX/27HUDsg/stI+fh8n5IgXrc3T05rwGbZWXdChbMXZj/McT/lnZodPTed5QHYw3\nFQn/TcY/lEP5AuUgNReV69e3fIgacoUBG+Oz8wdWcLIClzfR2PtyRVrWMEtBgvf73pva8Fn1riGb\n1r0a+bZbwiomhdFcgVLbc1EuBCOs3jHmAXNvyqdo8voYE4Bg24Ai4bTugNLPFfyg9inefqbJymWz\n9BfYaWLoZ5X12W3b8fHWtx6w5zvYt4aQgPWVNXn2bDOa+5idJnz/uzSqn4f1aY7TzyNs8lUo5vrs\n7M07u/5jKA2PjrGb+N/QPxk8sD6H8nMoBwB0USkDseYvrAtv30L8rNfKbHzZuC5DSRliPMZ4PRxX\nYNTrHvaFVz7refIMGr4BDoS5nM9yUbmo/z0p9qKdLCsYUnfDW1gRRsP4CNn1uwUBLgQFnNYcLt+p\nMt/H7L2p3eruuNQ4dH6ePZsHyI2xG4YcY56b4y6sjpmQmEM+bW3/9wF2Wj4P6zPGZPoOBm8Wc/1V\nZMN6JpO8vh5eeGB9DuXnUA4SdFG5fn07C+ivc3lbL7AsU71/pUCtDMeaiHzz5nZVQVmg7lbrFux9\nrNGbSg+JvHLl81P7bTdQKM8AKNNXAM4uqZWZKXAUtnMJ4qNHE+z5fVG/PJcHO8b8PAO/npeiHWPM\n+ZEDM8bWByyXPh4d7W4F1tcyOy9fziaupeIAABw/SURBVKTp/xCFbFxkwMn24dbrrfQ4gF+ELdDy\nyn7R870O5edeDgDoP/byZbzANdTl92pssWB2xF3keWGB1tIdYMJD+5KrhamwEcfH87UvUtpuoa31\nNGbn+FwEIOVX3LgxQcSN/6+9c1tu27re+AIt62AlFsnkojO9iQ69TyT1PpOIfoDKSh+go9J9gEZu\nX0AH3/QuI6kvEMvsA0RUX8AWnQeIoM70pje1oEnj2PFh/y/w/4jFLYA4kCAh4fvNcHQAsbmxNwF8\nWHsd7vQW0UwiPLWVBaBQ5uTk1Xw9QP8Niwn8kER6S2PAmqOjuWzr5evX402l/+pVvNUH74OjdtmB\nYMRcE0IGggIoDkQzxTnkjRpcDPs9BWrBERaZJtKb0yMqRFmnqrexRZS9nBfmh6Q/D0D4IOoriZiL\nO74wx+QoECoMoYPQeWN6w4ltkJRPZ0dOim476Q0e1aExnoiOg/Axxs9G3M9Shuzl4xA/cFy1Bbvt\nDwfrISrQlxksbVYqXAIkZIiU/MqSAL08EeWQN0qwFo6bLZa/bGdqkV7fJdzw0vgavX/vL7VgaSbq\nhmlHs2kfGvxE7iH7f3hNTfk3c7uiuZ1fZpjHZ+M4gTMw/A3ev+8VZLiBiwRmedyYENKeZBkS7SRx\n6IVDNepxTU8HEXMiwRJfVL4cDSxveeVKiXLsh9iDlS0qfYN+XZdopjzAnMNhv8xjQUhOUADFof1f\nRHqtBCK9xfrSEvbUG3YDEem1MmjHXS0ABnWk1p8F35ipKd8Hql+7aXyOdE0fXTj2zRuRH3/0jxHR\nUnj6x/iOyjkXIhdLTRC+mHc8hUOUQIyiv1qghgHBEvc0ryNhIFzm5gKLiLYCJrE8YeyHtZyEJcUw\nUapfeN/09GgdrK8jcPaGoE9jUSSEpIICKA7H6X1ath2GYZExJrhJw6FW5GoIc9zNwhYzEFy3bvWG\n4+cBblS4AKOwY1a0EzT8d3TyQTt5HjL64iaAMYWVSyRw4O2XdmBQ4HeC/vz8s+/w/MEHveIBFiBE\nw+E4Zmb8Y3j58upSD9ru59Cr0wfg+OBsLhIsidy6ldwXBCJqGI7Eb9/6Y4L5CUviCbAs98EHFD5R\n6PQJtPYQMjIogOJ49y54yrdfQCfk++knkYuLICJnZiYICU/z9KtDsvPO74HPQuQWntQRzaWT4PVb\nBsOFHIIHlhS7JEYcsPpoCwOsK+iTjhDTjs5pQvnDjgHp9PH5EJ8ffxxYfOwQXMyzPn4IIVRdv307\naBtO3drSpy2MED5YXtO1rqKS3YX5QtkRfVnEj/4OIAoOySRxHuCBAGIHwjQs/H7cYFzyEs9psK09\nN72EAyEFo0BXpoKCiz1uuC9fBjd3uxzC9HQQiSMS3DT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"prompt_number": 45, "text": [ "" ] } ], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "# **Slope** changes over time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, xlabel='time', ylabel='beta', title='Change of beta over time')\n", "ppl.plot(ax, trace_rw[-1000:][beta].T, 'b', alpha=.05);\n", "ax.set_xticklabels([str(p.date()) for p in prices[::len(prices)//5].index]);\n", "fig.savefig('rwalk_beta.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80 }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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yl41riZQGeREU69atk3Xr1sm2bdsmHdfR0SE7d+4cERSrV6+WcDgs/f39EiiU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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('rwalk_beta.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80, "slide_helper": "subslide_end" }, "slide_helper": "subslide_end", "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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2S6u/3+3Yns26kJPNcqglHOZ9CxYwwPh8bnZWOs2hrWSSX8Kexy/nkRHXv2PN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"prompt_number": 47, "text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80, "slide_type": "subslide" }, "slideshow": { "slide_type": "subslide" } }, "source": [ "# Regression slowly adapts to best fit current data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_subplot(111, xlabel='Price GDX in \\$', ylabel='Price GLD in \\$', \n", " title='Posterior predictive regression lines')\n", "\n", "colors = np.linspace(0.1, 1, len(prices))\n", "colors_sc = np.linspace(0.1, 1, len(trace_rw[-500::10]['alpha'].T))\n", "mymap = plt.get_cmap('winter')\n", "mymap_sc = plt.get_cmap('winter')\n", "\n", "xi = np.linspace(prices.GDX.min(), prices.GDX.max(), 50)\n", "for i, (alpha, beta) in enumerate(zip(trace_rw[-500::10]['alpha'].T, trace_rw[-500::10]['beta'].T)):\n", " for a, b in zip(alpha, beta):\n", " ax.plot(xi, a + b*xi, alpha=.05, lw=1, c=mymap_sc(colors_sc[i]))\n", " \n", "sc = ax.scatter(prices.GDX, prices.GLD, label='data', cmap=mymap, c=colors)\n", "cb = plt.colorbar(sc)\n", "cb.ax.set_yticklabels([str(p.date()) for p in prices[::len(prices)//10].index]);\n", "fig.savefig('ppc5.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80 }, "slideshow": { "slide_type": "skip" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BgNNg5poJeUzPcp21+zWUUZ1W+e59p5bJjG/L+uI0kC0MkiSNO0eOHOG2O5bz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"text": [ "" ] } ], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "Image('ppc5.png')" ], "language": "python", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "-" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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Ofy75T8J9fdw6/2Zqv3wXvVNyIc1O+jf/xL/fPXhF3qgZZy+9mJbJ9u52no60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5mEkahpqOfwgQNkZ2bSt29fGhsbEdJ7Qr9z5QsF/bT4AlS2dfDujiKqQtDhg7c/+RC0RjkofPMb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"prompt_number": 49, "text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "Conclusions\n", "===========\n", "\n", "* **Probabilistic Programming** allows you to tell a **genarative story**.\n", "* **Blackbox inference algorithms** allow estimation of **complex models**.\n", "* **PyMC3** puts **advanced samplers** at your fingertips." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 80, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" } }, "source": [ "# Outstanding Issues\n", "\n", "Scalability \n", "\n", " - Variational Inference\n", " - see also Max Welling's work for scaling MCMC\n", "\n", "Usability \n", "\n", " - still too difficult to use\n", " - wanted: library on top of PyMC3 with common models\n", "\n", "# Further reading\n", "\n", "* [Quantopian](https://www.quantopian.com) -- Develop trading algorithms like this in your browser.\n", "* [Probilistic Programming for Hackers](http://camdavidsonpilon.github.io/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers/) -- IPython Notebook book on Bayesian stats using PyMC2.\n", "* [Doing Bayesian Data Analysis](http://www.indiana.edu/~kruschke/DoingBayesianDataAnalysis/) -- Great book by Kruschke.\n", "* [Get PyMC3 alpha](https://github.com/pymc-devs/pymc/tree/pymc3)\n", "* [My blog on all things Bayesian](https://twiecki.github.io)\n", "* [IPython Notebook underlying this talk](https://rawgithub.com/twiecki/pymc3_talk/master/bayesian_pymc3.ipynb)\n", "* Twitter: [@twiecki](https://twitter.com/twiecki)" ] } ], "metadata": {} } ] }