{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this blog post, we explore some computationally simple systems with complex behaviours that I came across while reading James Gleick's excellent book [Chaos: Making a New Science](https://en.wikipedia.org/wiki/Chaos:_Making_a_New_Science). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The logistic map: a simple population model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first system we'll compute is the [logistic map](https://en.wikipedia.org/wiki/Logistic_map). As described in the book, this system comes from a 1976 paper by the biologist Robert May and can be described as a discrete-time model for how a population grows. \n", "\n", "Given a population $x_n$, you can compute its next state $x_{n+1}$ with the following function:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def logistic_iter(x, r):\n", " \"One iteration of the logistic map.\"\n", " return r * x - r * x**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above expression is made of two parts: $r x$ is analogous to a growth term as a function of previous population while $-r x^2$ can be described as a death rate when the population gets high. Critically, both are multiplied by $r$, which is a parameter of this model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's build some understanding of this simple system by iterating it for 50 times, with a given start population between 0 and 1." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "from ipywidgets import interact, interactive, fixed\n", "from matplotlib import pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def plot_logistic_iterated(x0=(0.1, 1, 0.01), r=(0, 4, 0.01)):\n", " \"Plots 50 iterations of a population, given the r parameter.\"\n", " vals = [x0]\n", " for _ in range(50):\n", " vals.append(logistic_iter(vals[-1], r))\n", " plt.plot(vals)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interestingly, different things can happen. For low $r$ values, the population will just decrease:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_logistic_iterated(x0=0.4, r=0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For intermediate values, below 4, the population will reach equilibrium." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_logistic_iterated(x0=0.4, r=2.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then for values closer but below 4, strange things happen:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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kbG/XLCV0PXtClUA4Anc63MvJ6PO9GCx3NSNf6nuScNwgfRE1LTyz7RoWu2pE\n0NRAmBZmVXNP68OBdGzTOL5srg0vkDi20AUQEbJUlknBuVVXk6RpItKwUCY6ujlSVaNEQ8LZpQik\nhhW2+LUNlUe9GFP2TtdxvuMmMs4uLXdAc4MSw7y9jVolqeMf1ZnuYwvuEQhTQpWt3pwBeCnDjvT5\nVJbpM8kAUBeCZq2CKU3CacesKfJNwbISb75I5JNEc7cnagGVCdtYvuLL5RMnC6yqb9TuBAA9i+8g\nvW7G1zf4ZvT5wOjb4dGDxrAHuq/rJ9qxiY1Hh6lFE0apwjFEBH0vRKMW5WG2q+aub4IbWg1COZRp\nQ8LQUlrYJDbOZBmTNt5304Ug46tp4/2YaO2OFw2SW2YaTGphgN1goAjQLtkoGox8VcC9bE8bAHD0\n7CqACBSJuSs6eowHekI1qT7RJa5adiFIE6p8Q1jFuCGMRyCUG0t3qGb7fd90A+dWB0nEsquZLlJ9\nNyVErXolziWmc4YiDf6c12vjeyqkHw0SP5RJeVHE3CsZBjDwQzRqakI1BQg62CoFwIZTRbuhSjg0\nWdTrRg9tquEk27/pACx6aDZQ6zImrG/RH3hZACSwTErGLImgiOVHn+m6dMaXAaDuqy9GHRYRENjS\nhM/o/m6q5esLAfnOtmqoCFVG0n2JyTScCqYaDroDNakbSJnR8sl322ruOsgw9tasVSGEyGjK0w0n\nKt11o9MwSQ4beGlyHUhBYrZVw0LXTUCYdHQ3CJPTF/uxb7UicGq5r7B8ro1TQrAZJ1Q5c59uOMlu\ny3RBCrG7VcN008TcY2bKpJJqReCi2SgJ/OjZDgAo1TJ8F2cE2KEC+Ka+pAhPiJQFU/t2tWrKGfOE\nE/x4B/KPEsMRuKvMvZqcQRU9r0jj3ztVx0rfT5LDu1pOojL0vCA5xZQWHtNizdu6Xhtb5j7wwqRa\nRpFl6pxhpw8z8U0efJgAWuSrLgRTdQduXH2S6MGZ68bAEwN5x/WVA7B0X2L5QMRuKUfQrGnaeCbx\nqbJmfjDacJavMuGsr1/cl+mK+q5TvoMuaa8eaWi+zUQ+0ZK6zHfAfNv1KjqumtStV6vJS06SMbHt\nmbuav9CjUi4l8OcRERftGVkYZCLLuBzcVXmSAIVkGQLidsM0D6haJjrvhbbYTzWySVLKB8w0HSz3\no6jN9UNtzqTRbitmvABwNAb3XU1HYbzUF8RuE9lKm0d8E1NSWeOqc65Vq6IdF2kQkeDnGEkpkwW0\n6aQRSCIkQDPeAAAgAElEQVRbsUWKlyC36tVkY9rj5yJ5aYYzdy9U5nirXgU/5JCeMe/39drYgjvf\n1JGc5qaxcf6QmzFz54lPYooAGLNMFwIgrj7RAZux/OhBRAEOsdBWDMAm33bs24tBuBWzMQ6WOsvv\n8ZBNm7Qmlk8hpb5Ff9hCoPtmSsM8LuGopWHUz7T1usu1/HjXoC5PNVkk1bP4DphvW/dliy0xTjcI\nE0lt2zJ3V10oe14APwgTLbZZq2YSqs16FVNxsYC6WKcMUkqJfszoCdwJsGeajpEQNZxqIst0k+Sr\nY51fRFyOL/SS6zZqaj06yZ4zjYg80Y7WNmOmyQLjkZwR9cWjFlmGy3rNWvryC73UuGcA7H4M2Hxc\n0bjUq8NoYySNzxZn7gMuhWpSVIwpJJ89dm4VFRG9yCQ5D8dT5zhfeEizb2qRzXptbGWZgR+i4USh\nlaq7mVhzDKw1lY2bpBYaqG0G2LqEk2qNYcxAU+ZOvpWKQL1ayeiS3Jefo15XQDhi+STXkK9TEfHL\nAKpKAhiw6+h19uKAjHwySHd0ki/tMEzC1LicMtLc4wGsJV8TkHEiiYpLOBRpuDogJb6qPk99FoZS\nYfntOEnKk7pkPAFLrIdO39tupkdSPS9IpINmrZKcg8T3MzSdamahpLNTgGhsV4RAEMqE/S0zbXzK\nAtitepT4HPgh5rsGNs42EFGdOwAcX4zAfbrhJMlDXt7YiuvcAeDMSj+9rr7AxLr/XLuOikg190iW\nMYBivYqWl61zp4in7wVJnTj1g4wPFEtJTiWJ8Dng+5X0KBOqbOERSJpwriYL2sALgWaqKOxLwL2D\nXa0ahBBKwrkaa1i08FAERNGOnpxer40tuBNzr1bURJKSdWdSQKTF6mych40qYyFfAqpmjSV8WKK2\n4VTQjkuUSGumgaOwcSrdZL493VdjTdO6by3rm7D8NmfuTHM3+M4xX9pC3dalFm2wd3jIn+j+Kstv\n0MQY8GoZNVmX9eXXdRQ2TkBDz647UBcN2pxKDIv7Hl/cnsx94EVSHd90x0GG7rPPymNb9bRYQE+Q\nA2mfA9F169WIhZ5ejrTftkaIeNUGHfFxcjEG4bohSRqPYyoieCpm7kq1jLaTlMb2GWqDSZbxU6K0\nZ6qRatXNWkJK+p4afbbiPJwXhGpfxlIL903PnmILZUwkeppkycfvgC22SbWMKSfB8kxRKWQkyxxb\n6OGS3a3kmVK/VESquetVP/tnGpk8w3ptLGUZPw7DSBLpeVEiibS0jI7OyhsBkkQsvr7K3BP5pB4l\nl/gW/b4fVWckbJzJMgDUBKXO8mMAVH21NjRU36ayEGgsv5XuaqOkbjXeEq5LIu2YyXTjfgDScDID\nwk6kjUfMnS8aWbmHfNUSy9Q32uLNmLumuesJ7oGBuau+6WKrs/zterYMhfBCCLTj0JwDD2dvfU22\n6rCFQJURg4S8UJ07ABxf7GKqHoEnXXfgh8rCTqdTnlgkwK4yX5WMEHN/aoE05azmTnOR9qKcWu7H\n7TWXQtKcJdZLeywq8djueUFSEqr3D5c9qbRQkT7qvC/5QpldCJpO1rdZq2Imjmzo2AXTIkWVNSTL\nBKHErpaTXAOI2DmXPenZ09+TVBO1YQeXQvIwtaUNSkpORp9psgzp6PGEoYOq6O9Nvp2YLbaNwBpV\n5yQSToaNqwCoM/euq/lq+vxUXfVtD/FtOJX4ADM/CeNMvlG/xcAa188Tu+E6+oD5RpVDfpKk1E9k\n7Gu+fGJwEOZvrWkwX71skp4dB6+pOEmaVg2pYbzuu53r3GlMNOsaINX5BFcZfZKTUHIo6dhOPndS\nNn5isY+peDymlSrqs0t8l2JwN+wkpbnENXc6a4YvBDx3MB2D++lligjUxYj6gkB1f7zVn0CR+qOv\njbVmPQVAihJ4X/L8Dgdshf0TuBvyOwM/VD5PFqklJi9pykFSEx9XNQGp5Jo8T19dNFp1tc6dy2w7\nulpGDaEIsFPpIqOjUylkjYGwG5UnOdWKxsazCwEfJHyL/oBAmDHsnqvLJzpgD/NVWT79LuOrRARp\niRxnHMlCoPlWKwK1akUB4SSpa0l8RjX/WdZMbHyg+XYGujyQTgz9usN9U0Bqx+WNelLX5rtdq2V6\nbpg8Z6rZ1itggBS8AFpU1VwH12gHvpqHmU3AvZfIIybwosoaADi51Ec7ZvmJphznr7xAKpr7mZUB\nphpOUigAUHSVPnsCt0QaMtXEx8caAEgqZqg9dI89Tx0TTb5I6X2pLwSMCVNU2nTS5H3fMC4zzD2+\nj1PLfVSIJDHSESWy0zlG7J3uP61dV6UhXiiSkNYRa+5jCe6pZJAyd2I4lBgEogFFbypqsAoYXqlC\n10lZSFpXDSCRDUy+UVKXMXcvUJiXvkW/MZTlV5STHhtx6EllfVl9XtXyAcT13Wqi1upbN/vqp01S\nv5FvktSN9V8vkMniQb4R62EsnyWYCvv6nOWnzF1P6ka+gaLlT9WryjtXt5NRNQmAVCc2AHY/lloo\n6qIwXi1BTRcCXupHAHm+4zLmbpbDCIROLvaSsasAHQPs6YaTvOyCFg2uuXNykGrunLkbzmiP+2Kf\nBop0nZ6mlyfSqxcofUkHDKoMnd9HtMXfqUZztOvpZaV8XKrVMkAUgUzVtQUt1uelRPL3CbjHEYgt\nEmvVqnCD9CBAqgQi31HYWIK78WEyhh2x04iNU0UH6ZIAY+MJu60qA0pn7qokYmDjlKgd+BrDzl63\n7lRQq4pEH22b2hBr+QASrZlfV6msiVl+5Btl+dWkLvcNVF830BYNtQ0VAdSqItpApC2IqZylSSLk\nqyV1yXeg+XZYklRP7HHdvx1HD1TiqC/iCnNn+ZL1mBDiNUKIh4QQR4QQ77D4/JAQ4h4hxCEhxK3r\n+kKkm3EAJKF5Akj1LBsnfT7tdxMgpZ83apXk6GqAg3CF+abPjkCo4waYbqRzIPJVJQohRFJ2OG2S\ne1zOeFXNXdlZriVfATNzJ3ar1PszsKRd6Imvxrr5BiLa4p/0u5vdXJfcBxtrMywCaTfSeUT9wxc0\nANgbJ1Xp75r1tOpH3begfk4Ssv4O3fXYWIN7w0kfZiQbpEBHQGWa9KsDH64fKkClJklThk2ygaJh\ns/ruZq0STzAkdcbmCpiQsQgnqRJJ25vV8gGkVSKZ6IEns1LmPtw3ZNd1jFFJEKZldlzuId90QTTI\nJ7WqEmnwpG7i6+u+2aSu6bq0gC7EJXnqoqFq+bzSaa0mhKgCeB+A1wK4EsAbhRBXaj67AbwfwE9J\nKV8A4OfW/IWx8WdHtc4cIHitMx9rLcpJJAsByz15KshwgNSZe19LTnOmnPiyRYM/IyB95wFp6sli\npEUEqeYeyTJTdSezN4QTGgL3XVyWiStK+gyE+RZ9rtmb+pLLHHwe0CamtOKLL6qsL+sVZZGa0iKb\ngZcSH3pOuiyTArbqS3tnlvs+QolkLpJUNwobU3DPsnE+6YEUWFPflI1T/SjXsF0/lXD4JqaFrpds\nZOC+QMqEK5WosiHD3J2sL4BYYrBr7gOPM+yUkSkSTqBGD5FvNakbb/H2Wnx7Bl8gBeG0vU7iyyMY\nIKox51o+bf3vub6yICa+CmA78EOJpZ6nJHWjPgi1TUzRYD8Xv5FHL/XrG3zXqbu/HMARKeVRKaUL\n4OMAXq/5/CKAT0spnwQAKeWZ9XwhgAxg65q7Xi1DYN+uRVLUclK14RgXv1Y9yvuk8onOxrWkI1tE\nCdyblgUYQIa501uX+r4ezUWR1/kOae6GvSFsvBIoDtXcef/42cWv57E21LnMESrRLkk46UY8NdnL\npR0CadcPGXPPJrJT5q7KMhywyZfLzQsaVvFNbOu1QuC+2eErr+RoauBOD4y0cb1eGwDmGUAkvn6Y\nDKpGXHFTrQicj2tr8zTsVj0699oPpVHCUX2ziU9+BnSf+SryCY8eNN0/8nVYspiikmqycWPgh4mU\n0a6nCbis1BIqbWjFmru6GKXAqtxbPOFWB9mFgHzpM7rW+dVBEtbzw6NoEPN8CX8ePIznWj5PcK/D\nLgFwjP37qfgzbs8BMCeEuEUIcZcQ4lfX84UAPfuUbXKJS2GmniotUhUWnbPU1CpVuJQghEhAckrT\nxpXKmvgzYstTCQlIF2AdvOioYgJ32qjDfem6M/GZTE4M6kA2/5WWQsbMvZlWyzRrFVWWYYDd0yJ5\nYu4mCYdLXNF1onZxwmguFU3lJQAsJ8H60k3xB0jfjcsjIi4ZNWuVBPCB9Hkm8pKjnk65HsvdxMTC\n13+DaAJ8UwjxWSnlYeZD4etrpJRPCiEuWE+j0k0E6cOc70SMRde7OUBQB83HbGGYhENyBL27kYNw\n3wuTLHjCbhvpjjL9uoDG3OPjTrNyDwG2yrDJV62ASbV8mlC0gSiQMsPGiTUrmntcP0/nmPBwe8C0\n/KmGSZ9XQZj7Uh/zBZHaqrL8NJLK+Ppm5n6+47Kduqy6It7c02RVUeuRZQqaA+AqAD8CoAXgDiHE\n16WUD+uOQoi3AHgLAFx++eXWC3IGSZOeAxLfmcxLXhPi0nGTxKCpSomuvbtVw3zHNWrjGamlVcPZ\nuAKG++qRMV0XSMGd/JWEaqwnzzSd6NnXo/kGpNVdVDZJgHvBrggUaazSd/a1NiiaO5tfel9Sbg5g\n+17qWl+upvPZJnERGQH44pclKEkEkjB3NQLpeyEEmCRXJ1zLMvfN3MS06eFrqrlnwxdVww6sAAEM\nl3CA6CGfNy4EUaJWSu7rJDvobLtO+XUXuq4q91j0edpA1HXVTUzJFn3NV2fjejIz8W04mSMQ9AHM\nIwKST7iUlfoyeYD1cVP39c2+51YHiW/TouXTQnBudWCMHpQDyZIE97omwXEAl7F/Xxp/xu0pADdI\nKTtSynMAvgrgu0wXk1JeJ6W8Wkp59f79+61fSiW6QDROFLCtszO9vSCTIAfi/tEYtp4EBBgbN5RC\n6klAYssZqYUz9xiMdM0dgJW5kw9p1QAjWn6oXPeCmSb++pe+Gz/z0ksTXypvtG1MiurD0+iT6/N0\nNn7Sl17a7y22UJJcyKt+eCRVq6bPpK0vfvECzPvywvg1h3ReP/V9z7AYURv4v6O+3Dxw3/TwlU9k\nehBZ1lzJAEQ1Znz6akhb6fmiAUSDjpi7XgrJt8ZHvlmWT9eVkk6Ry163zdtgqmppVLHS95QEMD/j\nZqD5Jmfh1LMAqEcEfS9EZ+AbffliRIzk/KprBFad5ZNvO6cNQ301lp8sGqtuNqnr8UU8TZyvk7l/\nE8CzhRBXCCHqAN4A4LOaz2cAvEoI4Qgh2gBeAeCB9XypnlD1AomVvo+KiGQzBbAV5p72jykK4gsE\ngIwsw3MdPQ2Q9IUgKverKvp8ytzrii+1o2/Q52ca0XVJqyZf0wIDAK990UVKpU+qowdJZZdSAWPs\nyyjCj2SreKE0RLVAGlHq9fo9LyqbJOZPlS9T2hhWz6yJPnvVd+7DB37lKnz35XPpfcSAzQssEtLa\n1WSZ2uhkmVElVCl8fR2AHwfwX4UQz9GdhBBvEUIcFEIcPHv2rPViysmCeuKBl/VpGycAFYT1EkAu\n9wDRoCM2zmt8CaSAlB21G4y5a1ILsXzuezbD8tMT/PR69HMdbdFwVNas1K7bmLvBFwDOGSWRQNXy\n44l6lrNCJTQPFC1/uK+aI7D7qlo+LQRnVwdGLZ8vzAlzX0cppJTSB/BWADcgAuxPSCkPCSGuEUJc\nE/s8AOCLAO4F8A0AH5RS3r/mL4Ua4VGfLDCQ4ZENHaEBcEAaKLIOkEZitEAAKbjPxM+Wlw/3tXkw\nq2nuQEpGBprsQBuZZho6cw8ygG1i7rQ3JC3dTL9TN55Qpf7hR+jy6q4ULL1EtkoWAldfKNO+bGt9\nSSyfngOQvtaTxnNdWwiA9FlWKgI//oJnJDIUvw91gXHi9qY5FGrHqKplihwcVjR8PS+l7ADoCCEo\nfFW0SSnldQCuA4Crr77a+opvro0niQetExq1ivICaFpN23XHwvK51kgVCE7yMlsKD4mxJEyRMXd9\ncdDlHs7yXYMvkK1UaTdS37TO3ax3txtVhBIIpczKJwZfAGpEwPR5ruXT5FPKRzUJh1fWkC+Xssr6\nulo/GNvAEsBBGGZYfmed58tIKa8HcL322bXav98N4N3r+qLYknPC9dC866Yb41jp3ICBDNfcqZZa\nr4Chcjogy9wj/yiaq1XVCJaSf9yXXsuns/zdBlmGmLvuS6DY4ovGEOauWzPWqtVjPKI2d+Oz/1MN\nO2XCNM4rcSTfj+dGyvLj5PRqKi2SFKVHtdF9UP9EnykLpafOXdt98KM9uP8C5RLZIkPn2KzXijD3\nTQ9fuTbuVKNT7rLMvaKx8VRPM5dNZsNGHi5y/djoy9hHhuUX9AWiGnyu5XNWY1wIDGCp9oMmtThZ\nX5N8otTls34wyj0WXy5P8es2DP1r8031+eyzoOoamkS673qY+1YYyY28JA+ImDu/56aTls7psowX\npMl0XRvnAJOCuw6sQXKKKr0ZyLgQxIlPvVrG7Bszd43QELtXIoKYPBUBRbrPpZ7WP7UKq57Lyhz8\nms1YZu25fOOgKsvQdRtOmgPhC9Iujbmn95GVZUxGixSfc01rQrWyecxdSukLISh8rQL4EIWv8e+v\nlVI+IISg8DXEOsPXtOxtGGCrFTApc68iiF/sa5NwdOlCvW5Uu66zdD5JeMWOlEheipDnCyBZlRsG\nUEsWAgq3qarF4GuUOfwww/QANalL1zWxZtN13SAqQ6QqBlufAYAblyzyBLDuq+58VSuM0n5QAYle\nOE6+tWoFdaeyGdUyIzUd0HhUqgBSrLvy3Iry7DVAShY/A7jrVS0DP4TjauDVcqy+ehHCpXPRUbYX\nx6/GI9/lfroTmcYDMd62tmjo5w3ZjJcL8v5p1apY6KrVc0lubtVVrkkyh7KJqZ4SF9W3kgA2/76Z\npmmRihdKrRTSZByw59rqgWKmhOqmvqxjs8PXvheiXk2ZRatWTTRszrApdOWf64OAfCOpRWfYBmDN\nLBqqfgxwCSf6fxaw7WBJm1AaBlDTr7vS9xUt3wSAujZu9NUlHE/Vu03AoVfLGH0tLD/V8rO+tJGF\nFiOSfxpOBRUBhFJ9hkleg+UIgGiijepFwptlKcsj9pZO8Mvjl0RHvzdptNm+pGulEV7aPyaGTUBX\nEWofkyyjLqrZjTcA8J0XzOBrv/3q5KXWdN2zK4OkAovm7bQFFOc7YaYvTMali6ay+KUva9EXyoWu\nm7zPgPoqPZdKrZaha2XvOVRyAWliWFv8vGyEb7sP3Y9LcrxNzZr6ou712KgSqiO1CKTSpnE2nq1d\nV2UZI1ARC/GL+QahzLBxdXKpiRUC96HMXfc1Aqtj9B0Gwqo2PpzlK5uY/OGsWS9DNPlmcwRaPsGw\n0JK/rs8LIRKmn9FovawO2t6Gr9rTK0+oT5Z6KnilCTieUM32O8CiUk1K+P7n7MMbX34ZvmP/dPJZ\nnbHxoiyfdH8CbAAKsHNfvQ16IjJprx9m+sJkhAF6ZNOqVROtuslAETAsBE4Vq30/ej+EM7wv+ULZ\nYvgzYyrprKWyTK0a5YJsxs8Qou+rVaMzqDI7VJ3RMfexBHdeTgeoA0DR3FmGPpFlOFNRkqQGCcfg\nmwXs4QuBybdlaa/qaxhoGrAO89UTlPS6s8YwXyb3WFlhRvcPFC3f5MtfcsJ9nVg+0fuE71HgzE1P\nNkVtTjV3zqaijVfbTZZR9Wv6P8/BANFzogiPa7FUgKH3T1/bgQkAF8228K6febGyCYcDEv++F14y\nixddMotnXzijXNfkazKqltHlDFosdJmN7zgeqrnHv1vspuWx9H16lQmNHTpPPvWtYLGnJi3ViD3L\n3PueLsvYSjqz/W4yUyRG9+drpLUZ18SPwsYS3PvapFf0Y1YtQ6E91cACKVvkZWH1mI3T23saiSac\n9U3kk76uo5u05qriS/8exoSXNTY+ZQLWmtqG4fp8Cd/4d/0hUksmqetFfUzfQ/IJYGbY3JffX3aC\nh3FijwO2iblTGWu66SrycbbdCzv4+S+AvlCm96YmDKPP6c1N/O+BtN97Gms2WbS1Pcgw08v2tPG5\n33pV8sKMyDetcx8GwNSGvla6CZircGhvSBHmTvcTnSdv7h8TIVD6hy0EDTa2TQulKnGxRcq4GYtF\nQXn9XstW/fB20gF81J4gfo3gem0swX3gq6shdUKtKuAkIKyyECoBa7OHnWx5tgA2gV47PqcZSAeA\nDsIqAGoLwRCWr4Nlpg1DdPTljNxjT2aW8c1KTtnqHifexKEPdqt8UkujI/7s6HpNg6/O3JNnZ1gI\ndN+penXbvWpPr6zQWRxZ00llB/5527r4ZROqJlOeUa5vJSlCyAN3XuduAkU+HyjfolfhmMyUPwMQ\n70Y1J6dNP+vSB18om4a+tCVUdZafyGG5/ZPKlqZnri4w0c+jqJgZS3CPQnDG0gyTIU06anqlRbcF\nuN6tMifTdTM6Ol23pp6TYfQ1AavNd8hCMMyX1+WbfNsFfOl7qpV08wz5AtFE1E8nBNLw1CS16FHX\nlM3XUyt2ovtzMr51i297GzJ3vQ7cxOKACAz05wmoxIX7FgZs2kBUAJC4Nj5soxFdN90FmtWq25mF\nPXtUrsls0iwnD01DXzY0lr/Uyy6ULcNYa1CVkqtKgC87sAff/+x9uGLflOKb7i8YDqO2hYdLMby9\nwGjOdB9TcDczdxsI83DdCNi1FNQUCSdhQkyXJADsagtBwyQvqCxfXzToACyjr3ZeBf+7Ir4tXZbR\nfBtKqBf51qoCQmRZPsCBVQ2hVxMpK+trlFoMic+hvpzlG/vY7LsdNXeduZsmOv2sR1dA2pemaiJ+\nZo3NqKyUNjzl+ZokHJM1YylhdeArbTuwdwqvfeEz8Ior9irXjdqryogms1W16Pq77qv3a8gOnSMz\nLZSJBKgtflfsm8LfvfkVCmmjCIRvjrLeh7YY6/fXMmDVDmbuOkDYO2G55+f7KgtByrwTPbjmZHzT\nBKVas21aYGy+pjYkvslmIztz132NZZ4WXzr1EkgHEZ2hkfoa2LgGrMN89TKyRHN3ssxd96W9BKo+\nbwYvk+92rJYZaGw1j9FxX8AuW9EhY0XkkyQSK8LyS0QEALDY9TL38de/fBUOcMbrVCAlsDLwQcff\n2symo5s+55GlLnGZPjf1ZbPGIpt6zkJJCecCC6VNfjMpEk8LWUYNVfIAW530QFaXBCLG2qxlfZuG\nkE4HtSkj+KURAZBl+bqep/gm+nxaVklM2+ZbraTnQOubgnRfwA6WppC/jK+RQdYqWBmoFTvDfPWK\nncjXFHUxX87c69uYucdjqsLeYmVl8YaoNNuXxdl4WrKYB15m/dlk9L2LXbdAG9LIuAzjtbLf+HPa\nyQ4MkbsMn+vjfXWglk0Ouw8al7mJ7BKLdSsB9x0qywz8QAMImvRcPklBLRcgcnxbynVTYI2y6pSo\nNemHKrDqzH2YL7WD3rlaxBfgTDitomg4Fo3WwsaH6bm6JGJeCMjXWbNvsh1bYfmmumhem82jh+gN\nVmFoPaJo7My0K7NlYZD67wEL23SizVx6ss5kvCQ4t3zPYaWQOeBlm19GXza2c8HdxtZzQF8nB8nv\nneF92TCUTVrvg1Up5ZdCZvGFt9N0D6N4G9NYgns06YeHLzY2bquVTn2zQGmLCPIWDZ016yysNcRX\nrygp68vD2ToHVoXdmhOURpbfMMhONbOvKVdhu67N18zyqxlfBZAMi8aoaoI3w5Lyv5yxbQvjjVFp\nLZXO8uWBSnpmTR541aKjNVb6fqE6biDeXZwXEZCEU2QhYAu/KZLXfUxz35S7i3yyc6PpZA/8G9Y2\nN4hIR15f5slLT6tqmYi5qzXN0f+zgL0y8JXV0JYoAewSDmeKlABd7vlmuce4aPgKy69UIiZuau9y\nT621ByKg4telLfom33a9qrBruj+bL0/qRr7sunlMhl9Xk0QiX6e4b83mm7PAxJqyruXTorGdDg/r\n+9HRyXy3p3GCG9gdYB/bK3SyaW5CNdo0E8pi4AXE8klBwNbbbmsDUEzC4Ucgmxa/hq0vLYlYk+Zu\nZfm5EUj6gpI839x8QT377EdxtMZYgruVuTvqpCcrUisNAB2trCsvSaqwdJN8wnaH6g+4rQE2sXFT\ngrKlLQT0+4SRaSCsf9cwXz30bThVxvRyFi9+3TX62kpTTWyTrqfIMpaKHapT3k66e9+wIchUCWZj\nqcOKBfi1bFYKvOLr6js+TWbTlE2W7gD3c30BM2CbPuPtUGWb4jhhS76aLCn9LVAKmZdQNcsyO1Rz\n1+tlbaySzJTss+tuhjCOywDx30VbwtXu0eUTmgBFfJ1qBU5FRAeBOWqVwFTDyQymelxVoLd/quFk\nF4Ja6qtLIrpeqvqqwMGTunobioBM4mtk7hbfPJmsOtx3O1XMmJKTKVCZgVfV581146a/M5myEBRM\nfJa9buGIoOfmtgEYLl3of2/KzVnlriHyrX4N232EElh1/dz7sCWDh5XEjkKWKXQq5GaaH4RRttpw\nwzatzZgoMcgygDoZ6k70Kq7pBnvf4ZCB+mNXXoiXXbGnsK/pgCXfUNXwI8+7EE5VZHxNP//Qcy/A\nmZW+5mu+vx949r7kiFFjm9nfvfI79mVefmHzfcWz9uLh0yu5iSIAuPrAHrzqO/dh73R6Ul/DMthf\nevkcXnZgLjlWdpjvrlYNF8w0kgPltoP1DPpsLnPnstWQYgH9c5PZvsNkZSWKwr7xOPECmdsGAJk3\nLQHpQqh/l7kvo5/pXalkpgICWznlsPuQsoBvTiRmAvxRvEd17MBdf/kGYOsEzrZz2LhjniwAcO0v\nX4XnPmPG6KtvsHj3z6nvRqYt+kEoM76/+5NXZu6tUatG0pDm+7YffbbRl9rAWf6bX3VF1tfS5l94\n2eX4hZfpvmam8roXX4TXvfiiQr4/+Jz9+MHnqC+Bbliex1XPnMNHf+MVQ9qbfsdzLpzBP17zykK+\nr4CB6hoAACAASURBVPyOffjGf/lRbCfjLyUnG8be+HEbAHDx7haatUryNiSgLBvfGF9TaaL1uiUW\nDX49ZQFxsiDOfY0VNI5ahGCO8NnfjVDisiZUTQngEe5QHTtw109uBOw1qWSmem29nM7kC0RMmFuZ\ncJSu3S1QY8zbsVG+OjsZ5gsUSX5tgm+B8Leo77ibqSbavJnGDF6ve9FF+J5n7U1OKQTWxpqBIuC1\nxuuWeJ5rlmUMJcy8naa+zERMRt81juEyde4mRcLQ3lFUgY0fuBuYu+kB29j4VMPBn/3bF+NVz96X\nfFYvARC0RT/SxkuAe0HfIm0o7Wth+cN8o5/LhOb5lRhr8y0BHAX6eJzNdMLiME1Z75tKRSgnNwJr\nZ9hlwCuvWqYUcy9Jnkz7AGwJ1TL6/Muv2IMfff4F2D+d9qeJUBa5j7x7rsX5Nl1uNrWXfHek5m56\ns4n5bBlzOAUAP/+yy5R/K745g5o2BembZmwWXc/LBUr+3cXYeBnf8ixf/3lYG4BsHw+7btGNLEAB\nkCkZxo+z9f0geTEGmVGWMexatVkpHX2DwGutydci1TLDZCt97AzT3PX5+cJLZvHBX1M1y42Srchn\n4IdKwYIJ3KnNO3KHKp2/wQcMnS6nvHG9xKQnNh75FgfhIsxdPxismG8RNl7ct8x1uW8uyy+xEOi1\n9EN9mY6cGz04xX3H3UxHBBhrnS2T3mRrXVTLgFfewm6rTslrQ5HF2lzemO0z/rlJahn5Qlkiqo38\nqxk/U1RC1xvFDtXxY+5+9t2KF8w0cd2vXIVXfmcqtZQBHpWNFwfhkcsnG6y5j9438imr5eey/FLy\nwM6RZUzjb990A61a1SLLFB9TQBE2XhyQ1iq15Na5V8uBIunqJjA1MV79cxs7Nlm5ks7ikQ0QSVsV\noX9mJpH0Rqj12thRIdsLZ3/sBc9Q3vEohGAgvIUyh2EHXZ5vGZZfTMs3h6lDfQtMrFIsf43yQJ5v\nmXxJWRNCvEYI8ZAQ4ogQ4h1D/F4mhPCFED+7nu8znTb4S6+4HF/4D69S3sFp2pVpszKSiC2xl3fd\nfE1ZJMCVz3hLgmKtmiEXNsD+gefsx89edanxZTllooQiZEYZl0XkJSe7UfEFF+/Cr7/yAL73WXtV\n3/iYiPXa2DH3VJYpxlpcv6g2XkISKcXGy7Cs8r7FtPzxiR6EUNnZMF9gtFp+GRNCVAG8D8C/AfAU\ngG8KIT4rpTxs8PtTADeu9ztNb+1p1qp4FnuJNX3G/z/MbDXxJitT4VFGPoki42rBl4CU06qf84wZ\nPP8ZuxRy0bTIGVc9cw5XPXNO+cxWNjmsbXrZ5DBf/h3DrFWvourre1mq+IOfeoHRd0dq7jbmbrJS\njDUJ74pft2i1zJb7logIymj5pXyTPiui5VfZzyWSugXaUcJeDuCIlPKolNIF8HEArzf4/RaATwE4\ns54vk1IWOocEKKu5Rz71akWpiR/mC5STw4rp1cWIgFMRxnfw2uyXXvFMXP+271e/K5n3+eOBXnxf\nKnlbwLeMFEXXLoI9QHR/O5K5p5p7CQAsw5pLgNrGae4bEz1sm4qdWsryc8Fd2Rw1Us39EgDH2L+f\nAqDsthJCXALgpwG8GoC2HUw1IcRbALwFAC6//PLM790gxN6pRqZaxmTpKw/LkJYCQBf7VCsieRuZ\n9bol5TCqGivD8ouQEZPVnQp+7yevxA8+d3++bzV6GXaheZ8w95K5jgLj8te+9wD8sBgbb9ZG866C\nsQN3kmWKZaDHJ+lYTu8uMmk3CFhLafklfGvlr1u2YmcLNjH9JYC3SynDvHZKKa8DcB0AXH311Zkz\nERpOFQd/t9iO2gSQSpCAMiy/WbbfCzHTEu2oVQodOzzM/i/DTm2TCRG94KbUnCuxqALF7lnf/T3M\nmrUKznd28A7V0ScSy0sM5eSeUcscG+xbJk+xQdFDMXkqTXLlafkl7TgAviHi0vgzblcD+HgMhPsA\n/IQQwpdS/vMoG6KbEAIzDUfZiWqzMvo8JQGLgCoVLLh+/qmQQPSc+PuJh/sWXwhGYe947fPwkst2\n5/qVIz5MLhwx6bh4dwtusP4zk8YP3Aselg+sNfE5arlnDKKHMiy/VgJYLZtFjL5riQhKJsLz2GZJ\n+yaAZwshrkAE6m8A8IvcQUqZ0EMhxIcBfH6jgZ3sb371auXdozYrA5QkxxRNTDecCoJQKpU8NmvW\nKtBfImO/bvHCglHYr37vgUJ+jRKLX5kjP8raO1//wpFcZ/zAPTlbZsTAWqpksTgAlilZLFc/X6Ky\nplr8uvUSvmUWuTL3VqqEtcRzK2NSSl8I8VYANwCoAviQlPKQEOKa+PfXjvQLS9ortPI4myXjpKDE\n0XSKSRRA1OeyIIFsGEr97L6by9yLGu2HKVMTX3RB2worBO5CiNcA+B+IJsEHpZR/YvF7GYA7ALxB\nSvnJtTSo74WoV9U3rNiMn6mS61tmF2cpANyYZGapOvcyencJsCy3j6BMNVKJBbFa3LesSSmvB3C9\n9pkR1KWUvz7yBozAaPd1kSQgED3/oqDacCrFwb1WKZwgLTOuNtsaTqXQvKcTYcfxHshy74LVA78W\nwJUA3iiEyJxnO6p6YP0Ve8OsHKCUkS5KlBauqbxxK7XxDdLyyyy0teILIk2i7X70wEZZwjYLs+bs\n27nsvsWADojmVWnmvo6E6kZZs2DyFUBhlr9VVoS5J/XAACCEoHrgw5of1QMPLRnLs6JHBADltNuN\nO1KghHyyUTLSRlXsbPDhZUXZeMOpbPujBzbSmrUSgF2rlCBPVVQKSg7X/OB3YKnnFr4uMJ7M/eVX\n7CmUfAXKLX5bYUXAfaT1wHk28PLfSUjWcKqFqyjWVN64hVr+WiqBRp+EXotvfhtoI0uZCG2cJ9FW\nW9Q/xYDykt0t5U1XQ69bq2TeEGYzfWdo3nWB4lLSZtp7f/G7C/s2SuQvtsJGlVAtVA+ct9EDAN70\nfVfgp15ycaEvjXS+YlUUfAdlvu9GV8CMWGopsemKv5mm8HVLLUb5baCNLMUjtOK7+56O9vbXPA/P\n3JtfWQNEVThF838XzjQRFBXdS1jDqRTaUTvuViZ/sRVWBNxHVg+ct9EDAF506WyxlgN48SWzeGqh\nV8h3bQd8lanZ3pj67g3zHXGymBJ7hdl4vDCP2vfpaD/z3ZcW9i3DNN/9cy/GRryhNlqst//zLJPr\n2AorAu5jWw/8hpdfjje83BwB6HbZXBsXzDQKSTjTDQdCpK/sG2ZTjWryN0V9Z5qj9s2ed28zOjGP\nvxTcZs1alMws4iuEwHTdKeQLRH1b5N7K+k5sdFZkE9VabKrhYNcGXXsz7cDeKTxjtrnVzbCblDL3\nPwA/AeBhAI8C+C/xZ9cAuMbg+2EAP5t3zauuukpupgVBKPueX8h3uefKmx88Xci35/ryhvtPFvL1\n/EB+4d4TMgzDXN8wDOUX7j0h/SDfV0op/+W+k4Xv78sPnJIrfa+Q71cfPiPnVweFfO949Jw8vdQr\n5HvXE/PyyfOdQr73PbUoHz2zUsiXDMBBWWBsb8R/mz22t5sdm+/Ig4/Pb3Uztq0VHdtCboCmVsSu\nvvpqefDgwS357ontfBNC3CWlvHorvnsytie2kVZ0bG9/4WtiE5vYxCaWsQm4T2xiE5vYDrQtk2WE\nEGcBPGH59T4A5zaxOZtpO/negPG5v2dKKfMP/N4Am4ztHWnjdG+FxvaWgfswE0Ic3Cq9dKNtJ98b\nsPPvb722k/tncm/jZRNZZmITm9jEdqBNwH1iE5vYxHagjSu4X7fVDdhA28n3Buz8+1uv7eT+mdzb\nGNlYau4Tm9jEJjax9dm4MveJTWxiE5vYOmwC7hOb2MQmtgNt7MBdCPEaIcRDQogjQoh3bHV71mNC\niMuEEDcLIQ4LIQ4JId4Wf75HCPElIcQj8f+LH4Y9ZiaEqAohviWE+Hz87x1zb6O0ybjeXrYTxvVY\ngXvRV/ptI/MB/Ecp5ZUAvgfAb8b38w4AX5ZSPhvAl+N/b1d7G4AH2L930r2NxCbjelvath/XYwXu\nYK/0k1K6AOiVftvSpJQnpZR3xz+vIBoslyC6p7+N3f4WwP+5NS1cnwkhLgXwOgAfZB/viHsbsU3G\n9TaynTKuxw3cTa/0u2SL2jJSE0IcAPBSAHcCuFBKeTL+1SkAF25Rs9ZrfwngtwGE7LOdcm+jtMm4\n3l62I8b1uIH7jjQhxDSil4f/P1LKZf67+HzmbVePKoT4SQBnpJR32Xy2671NrJhNxvV427i93qbI\nK/22lQkhaogmwMeklJ+OPz4thLhISnlSCHERgDNb18I12/cB+CkhxE8AaALYJYT4KHbGvY3aJuN6\n+9iOGdfjxtyTV/oJIeqIXun32S1u05pNRC+V/V8AHpBS/gX71WcB/Fr8868B+Mxmt229JqX8HSnl\npVLKA4ie01eklL+MHXBvG2CTcb1NbCeN67Fi7lJKXwjxVgA3AKgC+JCU8tAWN2s99n0AfgXAfUKI\ne+LP/jOAPwHwCSHEmxEdDfvzW9S+jbCdfG9rssm43hG27e5tcvzAxCY2sYntQBs3WWZiE5vYxCY2\nApuA+8QmNrGJ7UCbgPvEJjaxie1A27KE6r59++SBAwe26usntsPtrrvuOrdV71CdjO2JbaQVHdtb\nBu4HDhzAwYMHt+rrJ7bDTQhhe0H1httkbE9sI63o2J7IMhOb2MQmtgNtAu5jYGdXBji3OtjqZkxs\nYui5AZ4439nqZkxsBDYB99hWBz7+/cfuwpnl/qZ/9//3j9/G73z6vpFc67Yj53D1H96E1YE/kuuN\ng/3h5w/jQ//62FY342lhH779cfzkX/0rxnH/y1/e9DCuvfXRrW7GUOt7Ad5/yxF4QZjvvMG2Y8D9\nY3c+gc99+8Sa//7Bk8u4/r5TuPvJhRG2qpidWRlgvuOO5FoPnlrBudUB5ldHc71xsC89cBq3HTm3\n1c14Wtjp5T5W+j780A7uWwVcX7z/FG55aLyPdLn90XP4sy8+hG89ubjVTdk54P6R25/AP9711Jr/\nnpjuwN/8gdsZ+Bj4wciuBWBk1xsHi/pn65nQ08FW+sPnwbH5Lq78vS/i0ImlzWwWgKht4z4OlntR\n//W9rZ9/Owbcu56/rg5NwN3b/MHTdf2RfW9nCxepMvbBrx3F1x45W8g3mtRbP1m2yr7x2DyCIUx6\nlLY68AAAA8tcevx8B14gcWy+uynt4bY6GN082Shb6cf9Nwbzb6zB/dh8FwsF5YqeG6yrQ7eS8a6O\nkJmubhPmfu2tj+Kf7s4/9dYLQgz8cCwmy6jsxGIPP/yeW3B8sZfre+TMCn7+A3fg1ofXLkdIKREW\nXBzyItilXgRe/RGB7MmlHha7+XNcShnPE/u4/uL9p/AT/+NrhRbCmx88g5e888Zk3g8zPwgLy4LL\n/fGZf2MN7m/+22/i3Tc+VMi3MwisbKOI5YWjG2VBKNH3wpENhlFHIPccW0zYSJ790RcOF54EXTdA\nv8A9d7Ywotooe/j0Co6e6+DImdVc31NLURXVYrfYMzDZX9/6KF73V/9ayHc1ngduDriPary+5SN3\n4Y+vfyDXr+cFCEI5dH7ec2wRh08uo+vmA/bhk8tY7HqFcl03Hj6NX/rgnXjsXH4VUYIjQ8ZrEMpN\nSViPNbifX3ULJQbDUKLnrZe5R4N1s8G94w6fTKWvN0JZpu8F+Llrb8c/fONJ5fN//tZxvPo9t2TY\n4P++7XF86fDp3OtKGT2vIuxvu0QiZazrRvfSc/PvaSFmtethykfPdvB4AWACgJVNZu5RGXD+HC9C\nvijK7xUgeYtJv+b7nlqKKujo3oe3c7gsI6XEq99zCz5yx8bvsRtrcO+6QaEHRQxwfZo7DdrNBZHu\niBeVUYLhfMeFF8gMa3zo9AoeO9dRno3rh/BDmem/rzx4Gq/445uUz/teCCmLgdtWLbobabQAFxlr\nBEJF5kEYSrz3K4/gzIpaztt1ffS8oBBbXM2RFVJwLze+lnoePvr1JzJt6Lh+oXGQgOaQ700WQjd/\nrCzEY7pIv9J1i7Vz+LPtugGenO8WigLWa2ML7sTu9M5f6nr4y5seVnQ1YkLrAYDVLQKRUVfpjBIM\naVB3tUFNg5x/bvoMAB4+vYrTywOcZ+Evhc1FZJkkwbeDwD1h7oWApTiYPna+g/fc+DBuPKRGT/R9\n5SIls29aDVLueXz+3hP43X++H0+yRKyUsjCBK8LcF0sA9mIJwCbppsgzyGPudK0i0tF6bWzBnQaP\n3qG3PHwGf3nTI3jwVPo+3l4yeEdRLbPJzD1+yEEo4Y+gfniUGvVCJ54sFnDnn9OE0idWKkH4mc+K\ngU28WI1BadmojKS4IsCSAFYB37MrkT6vAwdFh3mgF4QyJUqWZ7NMzL1kZHh6OWob31w38EMEoSzF\niAd+aI1A5ktEOfMlJJyFEtddyYl8aCe6ToLuObaIa/7urpFgANnYgnvXMgGoU4ihAulkGU21zNYw\n91F99yhlGdug7sb/7nocsM3hKP2bPy+6XpHFeLuUdpaxXgnmXkYbJnDnfQ2k8yOPLXZcPhaHyzJl\nyUO68GSjvTKgCQCuBQDLsPHFbvHcQcq286+7nMPcz6+a23jHo+fxxUOnRraZERhrcB/OBDsGJrge\n9ru6CdUyrh/iEwePKYnILpuIo/juUYLholWW8TOfdy2yTHeIbxHAoufijyiyGQfrlIhGyrBGK3Mv\n2N+r/XyisbRG5k5t42QmiWCKjINBmvcxtU1KyQC7TKK6gG+nuNyTVy1zvmNm7vTMVkZ4bMjYgnsS\n5mudkDLBtBO4T3+NoLYZVRlffuA0fvuT9+Le4+nuviJsadj1eBVEGEp0RpB/IJtPBrUFLEyyjCXS\n6rpZlq9PFillZl8DBwMbY9tuZrt/k5VJ/J1dJQDNX2CBiGVyoqFGkaNNqFLbOJkpUzXEmbsJOFcG\n6ZEJeX0VhjK5j0ISTpKoXb8sQ7mnroW08gV2vTa+4G5l7tHNc3Dng7YIG3rX9Q/gDz6rvnx+M3ao\n0qYVvmlDmVAlvltKibf+/bfwN187mnymLBQj0KhtVQL0TIqE2P0hvjpAfO2Rc3j5H9+kHN7WWWP/\njLN1LH1lMhorRe49V3Pn88QP8H1/8hV86u70yI48AAXWLsucI8nIEHHrlTxBKHH7o+p+ieX+8IWH\nk4K8hWe574HWtLyFhROOIjmLvIQ0yTLdgU6Yon+P8sC/QuAuhHiNEOIhIcQRIcQ7DL+fFUJ8Tgjx\nbSHEISHEm9bbMNuDN2nufDAXYe43P3QGdzx6XvlsM7Tdk3G9LB+onMmUYabnOy56XqCUKXZGLPHY\nZRnS3PNZmIm5p5q7mhw7vtiDF0icWErBfdQ5iXGwXpJPGm3Jnklzl1Ia5Y/lno+Vvq+U5OVFSWEo\nk2qQMsxdSsnaxsd+WkzgBek4+OojZ/GLf3MnHjiZFk3kSUYLbB7k9RXXtfN8eUSgz4Pf+fR9+Au2\nyZL3n61/zlsSqvTMVjaTuQshqgDeB+C1AK4E8EYhxJWa228COCyl/C4APwTgz4UQ9fU0jKQAKdWH\naZJlyjB3KSWOzfcyGxJWNkGWObkUMfdl9t1rZe7HF6JrLdmuNQpZxgIspgoYel42vdekuevtpM+t\nkc0O2chEEzkPIINQJgm6tVbLDPzQyFLJh4Piag5zX3X95Fplxtdyz08WC/7sO4ZoDkif/ykWwfFd\n0qa2LbAxk9dX/J7znsGwiOAbj53HHUdTkqi00cbcLVFAIstsMnN/OYAjUsqjUkoXwMcBvF7zkQBm\nhBACwDSAeQDraiUfBH0DQ1w1hHeR7/BBN0+Mt5c+NNcPkx2iG8kOTywSc08HQXeNmjtJPBzcOyMG\nQlv1gUmWsZU3DquJj/z551H77fe0M5i7TXM/cmZVYavLPQ8U2BRJYJKubSM+/PtogVEXUg5O2e9b\nKgGKarvMMpspmuNt48DKGa2pL4aB8InFnvJdiyUWAoXlG6LS85Y25soyGRIUyzIFj/ooYkXA/RIA\nx9i/n4o/4/ZeAM8HcALAfQDeJqXM3J0Q4i1CiINCiINnzw4/EdA2KBMmOMiCApAPasdixtv3QmMU\nsJG6Lm1j5oNgdY1Siom5r+c+Ti/3cedRVaqyau5DANsNQqWqJV0I8gGHPrdGIztNc9f69Y+vfwC/\n/cl7k3+XYaNBKJOQnzNiO9ATcy8OTvy5lKmWObOSvmXMFsGp4yBqBwfWvHEwTJb5mfffjr/6yhGj\nr34fv/eZ+/FxdtyG8gwMbHveBu42WSaulul7oZLMpmfWyXnOZWxUCdUfB3APgIsBvATAe4UQu3Qn\nKeV1UsqrpZRX798//OXdKqPLMj3boM1j7k8tpDvkaLBuRujvB2GyLZzLMmtl7nQfo5Jl/vuXHsab\nPvxNRQOnErAuy3tEuwqzexBMG5r45x3LYsyfF/0dzyPsRFnGlnxe6nnK+CQQmm3VMmz0wVPLypHJ\n8x03kUy61rlhYu7Zvq47FeP4oXG7d6o+dJ599eGzShXXWQbuSimkpeKN2qYCp4eZpgPAPA4Wuy4q\nApiqV5VchpQSZ1b6eJQd0kbMfabpZPIe1993Cv9y/6nk31QxNlWvGssXF7teQmZIlplt1azlmudX\nXdSqIrpnvqDFfbGpmjuA4wAuY/++NP6M25sAfFpGdgTAYwCet56G2VZ4kzalarg5zH0+PWaVBjZd\na6bpbFjof3plkEw+nlDtDHxUK9HDLqW5x7IML2ej+2jXq6WB8J5jiwoTcf0QqwMfzVpFSXhxDVd5\nLp4Z3NMyvHzA6RmYe2cQYLpBk3qnMHfzhq/OwMdC10v6gUDootlmBkzfd/Oj+H8/8e3k3wSgF8w0\nFPZn6/dUc2fsuO9jql6Nxo+BedJz2T/TsMoyPTfAb3zkIP7nlx8xts0ewWXlGp0V75tuALAlVF3M\ntmpoNxxl/NF4PbHUU3yrFYELDPfRdX2cYEcxk9xz8e6W4uv6YTInqFSSgHnfdN2yOEbJ2Ut2tzL3\nn+La5soy3wTwbCHEFXGS9A0APqv5PAngRwBACHEhgOcCOIp1WJ7mbhqokW9x5k6Th0Bx33RjZABy\ny0NncO9T6au2TrIBs6yB11w7yj0PO0lOH4RPxbKMlGkymJjQninz4LJZ3wvwSMxsqKKH+ubieCCa\nyhdNDD3zs0mfty4EZja5d5r6Z23MvUC1138SQtwT/3e/ECIQQuyJf/e4EOK++HcH19QAzWzHAdD9\nU+KdmPtFs82M70rfw9mVQZK/Ib39wL4pdAZ+Emnlae4LXS/xXR34mG46aNiYe/xdF+7KLjZkdxw9\nB9cP8Shn7qsD1J0KLpptGneWA2rlEC1OCrgPfOybts+ThY6Huak6WrWqFqFE33FyMdX95zse5to1\ntOvqQhDGxy8cX+wlfTLfdeFUBPbPNIykhbeTmPu+6YZxcSRJ5rI97fies9fb1Dp3KaUP4K0AbgDw\nAIBPSCkPCSGuEUJcE7v9NwCvFELcB+DLAN4upVzXSy97lmQLPTiduYuI/CoAcGqpj3/717cnWjcQ\nae51J7rtRU2W2TNVH0l9uBeE+K1/+Bb+9IsPJp8RaF4w01ASqh3Xx96p4eD10a8/ge9515eVAXV8\nsYepehVAuliQfr93ql4qCnjg5HJyEBu1k4AlYRlJNYxZXjElx8L4rPrs3w1fuHWpaU/cP2s5ZrZI\ntZeU8t1SypdIKV8C4HcA3CqlnGcur45/f3XpBmjmBWFSOZJN0EV9eEpbYC/a3couBPGzJvmD2PGB\nvW34oUy+wyZ90He5fphce2XgY7rhoOFUh2ruF+5qWMfqLQ9FUtHRs6sJQJ5dGWD/dANTDcfaHpNE\noeYDvJS5G+boQtfFXDsC956BEZ/vuMlYW+y62G3w5USECMZCx8XcVD1aCCyVPnQsOUXk+2fMJJGS\nr5fOReDOj+/ouFlcW68V0tyllNdLKZ8jpfwOKeUfxZ9dK6W8Nv75hJTyx6SUL5JSvlBK+dH1NswG\nBqYwv+cGmG3VAKjSxuGTS7jriQV8lWmTTy108bxnzABIs/+0Wu6dqq95hyu3O4/OY6Xv46FTK8ln\nxMae+4wZjbn7mJuK22757k8cfAqLXQ8PnIyut9z3sNL38fyLorQGTbrOwEdFALPtOgZDaub1bfz3\nsx2zKWuMmfusGkLaE2LZkkYb01HyDOzvaPItsUqmzsDH3ikKx9e08Bap9uL2RgD/sJYvKmLUN0Jk\nmTtN7BMJuHuoCGD/dANufMgWGbHeo2dVcH/m3qnoewzRgQ2cFtg8mG7W0HAqxvcLLPU8VCsCe6Ya\nVvJw68NnIUQkUdA57WdXBtg/00C77mjJXvP46DBABqIFse+FObJMxMab9apyzxwsU+LiGn07GnkC\nIla+p11HS/PleQ1q53LfQ71awa5WzThWKeF92Z6Wcv9+kFbrbbbmviXWywndO9o25j3tLPsln/ue\nisBLSonjCz284OJZAEjKIYlN7J2uj+R0xi8djhIy51bd5BS4E4t9TDccXLK7pTzAziBIwMs0oZ44\n38F9Mfgejl9KTJUyL7hYBffVgY+puoOmU7FGIE+c7+Cl7/wSPvftE8ln9z61hLl2DbWqSMo1udYI\nsCSgNXHKpLGchaDrBmjVqplr0AQn1kSnFCaRzdqqZYpUewEAhBBtAK8B8Cn2sQRwkxDiLiHEW9bS\nAG50j3PtuhK1BCzKIQlvIWaY7ThC42Ob+vMoY+5T9Sr2xwBIQEVzoFWrGucRoMqTMw0nTqiaNffZ\nVg3NWgVuEGZeZ/fYuQ6eON/FjzzvguTf1Lb9Mw1MNaqZRZ7yKabcC43B1UTLtoP7YsLcK1o0yMA9\n2SHuYXe7jqaj+TJMIdlzoetibqqGVq1iXRwJtFf6PmaaDppO1ThWabEj5m7aDLjpzH0rrOcGmBny\n4FVZxsecIXQnXwLHsysDDPwQz79oBtWKyCRUU4ZYHET+8eAxvPo9tyQvDJZS4kuHTyf6ILH33nFj\nPwAAIABJREFUU0t9XDTbxK5WLSPLDGPuX7jvJIBoch46EdVAE7hfeXGWuU83HTRqVeubnd51/YNY\nGfj45F3ptvP7ji/hRZfuxoW7mhm99+LdTQDs7BgvZZ46YJPcZTqoSs+hpFKLXZYhgNozRGsdsf0f\nAG7TJJlXxXLNawH8phDiB0x/WLTMt8OkMy9IiQQHIc7cd7draMXgrlaURP4EoOdWCUCd+HqBct29\n03X1ebH5s8iZe8OuuS/1fOxqOmjWsosNEOWZAOBN33cFgEiaATi4O5rmno4DFTjjRb7nIQhlmqic\nscuX87F80sxo7unPJzTm3qprvjbmHmv5Nuaeau4RuDdq5v6bT2QZioZjFWKQfa6jsLEF964bJIBN\nD94Lorf9RMCiau5zBuZOPodPLsMLwqTG/bK5Nna3ahnNfW7KDCJSSnz96Hn853+6Dx++7bGEsdz8\n4Bm849P34bFzHfzVV6LqgEMnlnFiqY/f+P5nAUCyKeXkUg/PmG1iV9NJ3pkqpURn4GO2VYMQZi3x\nC/eexEsu243vfubuFNzjgXflRXEE0k3BcGrI5Pz60ehY0QtmGrjtyDksdb0kmfriS2Zx8WxLCV0B\nZDL71Kd72vUMuBPD1pOo7Xo1U563R/PlPyfPhcll0XNZkyxTpNqL7A3QJBkp5fH4/2cA/BMimSdj\nRct8OdgC6XEZvC9PMWlsrl1H0zFFOTFz1wC03Yh8aUwni8l0QwMyLsukzD1KqJqZJzH3RryI6zmQ\nWx8+iyv2TeF7nrUXdaeCx8514AUh5rtupLnXq5rmnibLuwYGLWXEyIkMJeTLsFFu4IfRQpiJUNii\nGSdKIwnHANisT44vpCRnrl1HS0u+KsydJVRnSNYKwsxrKM+vDjDbqmFXMyJz+h6Q6Ybz9GHuKQCo\nE2CuHbEemuxdN8CuloOKUAccDRjXD/HI6dWkUuayPS3MtmupnNH30Y5LwAAVRG5+8Ax++M9vxRuu\n+zo+eddT+IPPHcYvfOAOfP7eE/j3H7sbz79oBm942WX41N3HcfTsKm48fBoVAfzcVZdi33Q9Ye4n\nlvq4eLaFXXFuYKXvJ2VaNkB+7FwHh04s4ydffBFecPEsHjq1Ai8IcXwxSgo/6/9v70uDLbuu8r59\npju++fXwulttdUvqlmW1FGF5EkaysS2rbZfBDCnbYEzFYKCAQDkO4JD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JlmYahxZxsWXARwF4B3CCHuyjju3wH43UkuqN7uIfQFQp8baVJf5FnV83snqX/PuERXernXKIQe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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.subplot(2, 2, 1)\n", "plot_logistic_iterated(x0=0.4, r=3.5)\n", "plt.subplot(2, 2, 2)\n", "plot_logistic_iterated(x0=0.4, r=3.6)\n", "plt.subplot(2, 2, 3)\n", "plot_logistic_iterated(x0=0.4, r=3.7)\n", "plt.subplot(2, 2, 4)\n", "plot_logistic_iterated(x0=0.4, r=3.8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize this in another way, by showing the iterated values on a two dimensional graph:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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XzyzPhUd+gyqNSn2fLVu2sHbtWqKiopg7d64DqhfiymRaRri9giILKZl5JF/IJS0rj6zc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\n3iZ9iwrzjUZf694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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def plot_logistic_iterated_2D(x0=(0.1, 1, 0.01), r=(0.01, 4, 0.01), ax=fixed(None)):\n", " \"Plots logistic map for 50 iterations on 2D plot.\"\n", " # computes iterated values\n", " vals = [x0]\n", " for _ in range(50):\n", " vals.append(logistic_iter(vals[-1], r))\n", " # plottingf\n", " if ax is None:\n", " fig, ax = plt.subplots()\n", "\n", " for x_start, x_end in zip(vals[:-1], vals[1:]):\n", " ax.plot([x_start, x_start, x_end], [x_start, x_end, x_end], '-ko')\n", " xx = np.linspace(0, 1)\n", " ax.plot(xx, logistic_iter(xx, r))\n", " ax.plot(xx, xx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can display what we observed before in this visualization:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EKWVWSkkjI1unabB3Osx9EhxcYMRmKaqETZLxq2CIcyqH74hpuNd9gqS9y7gy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lj5fA90OjfuTVUqZODAgWzatImq/SZRqeMIlnzwB57v96PWseymatWqZetP1a9sXUqha309/9hh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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 8))\n", "ax = plt.subplot(2, 2, 1)\n", "plot_logistic_iterated_2D(0.3, 1, ax=ax) # decrease to 0\n", "ax = plt.subplot(2, 2, 2)\n", "plot_logistic_iterated_2D(0.9, 2, ax=ax) # stable\n", "ax = plt.subplot(2, 2, 3)\n", "plot_logistic_iterated_2D(0.9, 3, ax=ax) # 2 cycle\n", "ax = plt.subplot(2, 2, 4)\n", "plot_logistic_iterated_2D(0.9, 3.9, ax=ax) # ? cycles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's make an animation of this." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|███████████████████████████████████████▊| 250/251 [00:43<00:00, 5.71it/s]\n" ] }, { "data": { "text/html": [ "
" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from moviepy.editor import VideoClip\n", "from moviepy.video.io.bindings import mplfig_to_npimage\n", "\n", "x = np.linspace(-2, 2, 200)\n", "\n", "duration = 10\n", "\n", "fig, ax = plt.subplots(dpi=100)\n", "def make_frame(t):\n", " r = t / duration * 3.99\n", " ax.clear()\n", " plot_logistic_iterated_2D(0.3, r, ax=ax)\n", " return mplfig_to_npimage(fig)\n", "\n", "animation = VideoClip(make_frame, duration=duration)\n", "plt.close(fig)\n", "animation.ipython_display(fps=25, loop=True, autoplay=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another way to plot this is to evaluate the final population after a fixed number of iterations over the two-dimensional grid in the $(r, x_0)$ space." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "r = np.linspace(0, 4, num=400)\n", "x0 = np.linspace(0, 1, num=400)\n", "vals = np.empty((r.size, x0.size))\n", "for i in range(vals.shape[0]):\n", " for j in range(vals.shape[1]):\n", " def final_value(x, r, iters=50):\n", " for _ in range(iters):\n", " x = logistic_iter(x, r)\n", " return x\n", " vals[i, j] = final_value(x0[j], r[i])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we plot this with a marker at the final value of the population, we find a map with bifurcations, regions where it decreases to 0, where it reaches an equilibrium as a function of $r$, where it can have two values, more and more and then chaos." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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sNctOfM21qmsa7UWEuyAIN8XKj+YS4JFB7iUnwlP9WDY3nGVzwxnTye5Wl3bD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\n7kKI8UKIBCFEkhDiX+3sF0KIxa37zwkhAjs/VOnvMjVTR/9iCQOqvTA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot([rr * np.ones(vals.shape[0]) for rr in r], [row for row in vals], 'x', ms=0.9)\n", "plt.xlabel('value of $r$ parameter')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can also plot this as an image over the 2D sampled space." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HjRm56gwrjkbyx9FrWTmbLDev0WDpJnbPGcS0fdeZPW0ZQz7ojEGWSGoYyowvFgFQvunz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DAAAg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\nScu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 7))\n", "plt.imshow(vals.T, extent=(r.min(), r.max(), x0.min(), x0.max()), origin='bottom', \n", " aspect='auto', cmap='Blues')\n", "plt.xlabel('value of $r$ parameter')\n", "plt.ylabel('starting value $x_0$')\n", "plt.colorbar(label='population after 50 iterations')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Convergence of the Newton method in the complex plane" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a second example, we will turn to [Newton's method](https://en.wikipedia.org/wiki/Newton%27s_method) which, to quote the book, was \"already old when Newton invented it\". Newton's method is an iterative method that allows one to solve equations. If works by using the value of a function and its derivative to find a way to the functions zero.\n", "\n", "One iteration of the method can be written as follows:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def newton_iter(z, func, func_prime):\n", " \"One iteration of Newton's method.\"\n", " return z - func(z) / func_prime(z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will apply it to a fourth order polynomial in the complex plane $z \\rightarrow z^4 - 1$. As the [fundamental theorem of Algebra](https://en.wikipedia.org/wiki/Fundamental_theorem_of_algebra) states, this polynomial has four roots, all on the unit circle. Using Newton's method starting anywhere in the complex plane, we should be able to find these four roots. \n", "\n", "First, let's see what this polynomial looks like." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def func(z):\n", " \"Function to solve zeros for.\"\n", " return z**4 - 1" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def func_prime(z):\n", " \"Derivative of the above function.\"\n", " return 4 * z**3" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def newton(func, func_prime, z, iters=25):\n", " \"Apply Newton's method to a function and its derivative from point z.\"\n", " for _ in range(iters):\n", " z = newton_iter(z, func, func_prime)\n", " return z" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from domain_coloring import plot_domain, contour_domaincol" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(4):\n", " z = np.exp(1j * np.pi / 2 * i)\n", " plt.plot(np.real(z), np.imag(z), 'ro')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LqpI6irU4Q14qHxvvrs72WEOdd8XvXoi1+08QLmvq6JPpdvB3zvJddbYXVu1e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NI/ckACyg2WXHCJwtWsGYTac9ENvTzlQAGNNZppFjr0/vUqyl17ldZEvMb0BaGwwWTJU8BmI9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gKwGj11Nr2GUjvmrlMtSLUo/2AdVHbATKP+8DWEqj9zTKRR3rMOY0dmA7k/XlwORjGYoIws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\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15V5XfynyZPQaknXsD+cItn5j0e2SkW3PU18XdJu++7HZCYc20glq8VqdHruYgyYCEPLp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\nMBZP/uJUTzW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zs70jEDauN4ghk85ZAHYBlO2d34EADQM1A+e6BwhbbRrUc5vcMzQotS5R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\nCNjEEp/YYCs2TzhyqEfEcMr5EojXzBKxWbhkBicf68j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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "plot_domain(contour_domaincol, func, re=[-1.2, 1.2], im=[-1.2, 1.2], N=400, daxis='x')\n", "for i in range(4):\n", " z = np.exp(1j * np.pi / 2 * i)\n", " plt.plot(np.real(z), np.imag(z), 'o', ms=20, label='root {}'.format(i+1))\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, what is interesting is to look at which of these four roots we end up at, depending on where we start on the complex plane. We evaluate a grid of starting configurations below:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "real = np.arange(-1.2, 1.2, 0.0011)\n", "grid = real[:, np.newaxis] + 1j * real[np.newaxis, :]\n", "\n", "roots = newton(func, func_prime, grid)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can distinguish the four roots by plotting their phase, which will be either 0, $\\pi /2$, $\\pi$ or $3 \\pi / 2$. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WPoJWv5Ocqi1tu8Kx+fFrH6U68PxLj8+HFJ6SmESATp3b7XUKVZE8fbSf6XqKepvFj0bg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\nu6wdG2wZsqUwiS00z7o9TBz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1YqK+WDzuFRkLYnQZRXrNMA/WDP745M8wWYhjSMWvb/ge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B/h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\nz/OlKXyaPIMGL6wwUnWyhRBq2k8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TV+VdiFwePkDfzQfxGz3aOzLErCqulvQnJnFaj4gx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KDB0xORNn+/5TvEQjWqfjDotyOSx2iugQxshvQ05RbJ+MWSyU0GtcTim/vwtKLtPkH27nbe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\n8bUgYHnEnAoJt0zA8uq1/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hZ/eVEWS0NvJMNb25/gioDAElGevP4zDPvQZ0uiJugxjJet\nsHT53cReXrXheSJSTa/AcvnarZ/hO9du4IFDq3Ftj2uCgzxx7ef51YYIZe2w0hknLM98tdaZyKsy\n/zRwKyO72tDtHhNrbTo2zcFQjKhPn5Ba8JULvsIvy4vZOd5O5XALygU/2PhcP6ImCIy4DKdiTNhh\nhNBU5qFkyKloQDdBuQkhxEqt9a7pX28HdszXthoxx6cXOHTM7wPAVWfywr1T7Xz98Y0IV/OznSuR\nlkaWG78CX4cU1ZxLIF6husjntjVb+fLENSQCJdpD+XNK9HWsnw2sID8SRRYl92+/gA913k9yjrN4\ntlkRbgwp6ssa6iesR678IjWtSMrQ9Jyi+j5OWuE5375hGM0pIBwucI8fotoYtLii8yl2pB4lJn26\np5ek188hFY6cQ+ZSWfvsHm7H7SpSHQvjBzVacu4JWTUkd/nkc0luGvlD7FgNL+dgLS3T1zHBodEU\natxtaPAjPIEX1Hg7W5iK+ViJKkPF1oZtv8l8TAixmvrF6QDztKILziDwOd2Y3Fw3SAjxbuDdAIGO\nGH1L63NPtv9wFZU2ddY5ac7J9DLD2A6H0Jgm/VofLTU/PbCKS7sPE7Grc7YpS2gigSrZiiSxSzDV\npeixT13PZq6YISzDME7GEpK1buPOEQkZ5LbVW3lyrJ/hwxFCIxKh52ilk4bokE90SJLvDpO5vApC\nE7A8+jomOJDpgiPp1xpxnRHgxxQ9y8doCxXY+73liFyD7za1bthQ16mbod/UqG2dtvtEa32T1nrd\nLF9nGvQcBo4dn1o0/beTbe8LWusNWusN0ZTL8kSa3+76JdoCNyMbczBqUEGFinsIBU5eM/bqCvdc\n91li3Tl8f34K+S2JTyDby5Q6BX+74T8IiOZacmkYhjHfHGHxO6lHqXo2gQlJeGgeio0KKPRr2ruy\nfHXjP3Nz5zbaQ3l0oJ7oUHqiMQWwNQQ7CyyKZbi79yGKPQo5d/fTZ94Mpefk66WiEeNGTwIrhRBL\nhRAucCdw75m+eKQU49MHX0lpkUd1TQltz//OVVGfcEeBt1y+CRX1yVxf5svXf4nnKt2kwiXWdQ8h\n5/i/QmlJd7A+Qbq8uMK/Dl3NQ6XmTqxtGIYx17ZXi7z1sXeT3dpKJaUovjFLKTXH50INyedgfGcr\nX5vYSFhW8ZREFGz8hI8fUo0pFiqhNB5i60g3nzt8I7JZ8tS9zJ3rcvbfAD4FtAM/EEI8rbV+3XSq\n6S9qrV+vtfaEEO8Dfkx9OfuXtNbbznQbQavGgYkkoirwsw5ynsdftavBFzg/S/Cd/RshotCe5Isj\nN+Api/7YxJzN6XmhH+2/EH/KRVQFz+zsZ09HBzeGhudlW4ZhGM1or5fCLzi0XzzK8MEU+UyI4Dyc\nct2covsReHzzBh4NbCC3BIhpFi8eoyVQYudYO+XByPzO+dEgixalostzO5fRsgPOyxm/CYa6Gulc\nV3XdA9wzy98Hgdcf8/sPqS9NO2tRp8Jty7bxzcwG3EEHLzoP/wGao8XhFMT22ITSityVFa5aeoBn\n7l/D4UUt9Ecn537bxyiXHay8JLlNUFhksTJggh7DMBaWC500N61/jslqiGGZgrKFnKcqDsIHN68o\nRCTVNp+LLjhIphzCtTz6khl2HY7Wk9Zauh4AzcflJ1njmmX72J7owP5Vau43cBo5Jn/8gP522xy9\nXXqO3mdeNXXmZqhP+r3/0GpkwKfWpxETzpzP81FhRbQzT7nkwkCIQEYzdmuF+679NE+W+3m8dzlQ\nn4czX709Uii6UlOMHgyhXFj3uue5NqBo9jqyhmEYc2mpE+VtbY/xV/tvBa+eGdopzm8ZB20LEJqN\nyX28O7mZz01ezsPp5QgNVlFgVSSVDh/mYe6PLlk8tncpWgk6zsO0Tq31zY3f6vnV9FfVmrLoT2RQ\neQddnPtBV5XwkJEar1i0hxuX78KL+aSv9vjkVV9nc6WPfzl0LX39aXojmXkLegDytQCrW0bxooqJ\nK2vc0bGJcVWat+0ZhmE0o1G/wAO5tewbbsPJWpQ6Ndll8zvhJjLkk/yVzZe3beQfxjeyLjRA2K4i\nfPASCvfSSYKdBbSr5rzXxypIAsEaumRhl146E4Rfypq+x6fs2+wca8fKS1RIz2lvj7Y1wlaEnwnx\n4I7LKXcoiHgE4hX+efB6AJKBIlGnMq9BT8W3ydWC7Ex3IMsCpSw+tuNmDizbxB+l9szbdg3DMJrN\nBw7dyq++fyH+shp+W41rL9zN5sFFqP0RpHf6178YQkFkRBG6J8QDP7iW+1LXU0mB3+XRuyTN6pZR\nsrUgu+x2poZjyLlceCIg6NboXJajGO6Zu/c1Tqrpe3yClkciUsKPnkOkLepBjraOD5yEJ0g8EaRl\nj094WCNaK/T1jcOOKPsmW0m4ZRJueV6DHgApNMNTMSq74tBTJjhikd+WYl+pfV63axiG0Ww6A1MU\nF3tctOoQCHh002pK6TBazv+KJ1nTOEWNtqDcV6V3SZrD+9o4WEgStqusbR9GBI8Ou2mrXsBVBepf\nL4YWMJmOsX+gDemZHp9GaPrAB6A3msUqyLOr0TVdbRwBsiqw20t0rBgntWIC7dQPLqskiAz7eCHB\n+HVVPrvxq9zasxWhBMWyi9+g1OFSKKLBCiqgYTBI/IAimBasjxw6/YsNwzBeRq6J7aZtUQZXesic\njfAFzqTVsKBAWZDvU7jRKr/Wu4Wvv+6zrIyPobTElj7heL2WlpZgFyTOhEWkq0CqLwPUb6jP9iZd\n2IoV/aOU2l4Sl+SXvKbfy2XfZttwN37k7Hp8pCdQMZ/+tUOonjKxSJlFsQyrU6O09GfQlkZ6oKVg\n5HVVfvbqT/LacI1OJ0t1RYnlHel57+k5whKavlgGFfdwpiRCQenyInfEdjZk+4ZhGM3ideFRru3e\nC1C/SdUQ3zMHJSvOkPQgPCSpjYZI2gU2Bi3+qutBrkrsQ2lJwKmhJYRGJG1Pa2IHoDgYZXIiipMT\nqKBCB/TRm+/TEaCLNgfTSdPj0yBNH/h4ysL3JE7GOqP5PVqC6CzTum4MEfBpDRbQGZe2cJH39PwX\nl8UPcmHbCDrs40wJhl5f4/uv+DQxIflGLskndryavo5J2oL5+f9w0yq+jSt9lvSNoVzNyLWaf7v6\nn2izIg1rg2EYRjOIyiB/0vEzlkbGsVtLBMYlaPDdxiX3a9nt07JN8rHHb+ErU/WV3nclnue6ll1E\n3BpWpb66K/2GEh/4wDe55rLnCccq3HTLZpyOEtpRaFefVcLdi3sP13MJGfNOaN28EWbbBW16w+fe\nxs6n+s84i2b76jS5UoDiZIjWxxykB9LXZFYJujYOsTQ+zr6pVg4MtGFN2Nx50yMAPJ1ZhNICKTSp\nQKFhvT0lkhDY8QAAGI1JREFU36HsOby+YwvfGrycPTt66FyW5uae7bwiumO6GKBhGMbCsK1a4p1b\n38H4/iQ6oMAT3H3df/HV3VcQ/WYcu9y4a5bvCvKLJLlVNVq6coQDVQYPtmJlbdZduZc7u55gSoX4\nSfpCqsombFeZqgapKYsDY0m8sdAZ5f/Rlka2VnG3hxj41MfJTx4yKZznUdMHPhd+6i4O7uqsz+85\nRVO1BBI1pKOI/jJEZNg/YQWAsqGcklQTgsJiH3wI9hRY0Z6mxS0CNCzgOSJXC7B3spXMviR2QaCX\nlFAjQUKLc7RFC3x9zVdnKiIbhmG8nNW0z+07f43D311Cbpki0j9FYTDGunUHOJRpwbo3SWji/NwM\n+q6g1CbJL9agQCwu0p7MsTQ+gSOPzzNU8W2KnsveyRSFfQmEJ07Z+6MliNYK9v4gQ3/3CRP4zLOm\nHurSQE2dWRN1zENraP3PILGBE4MegHyvxeRFCu+KHL++8SmcrKS6L8bWfb2ky+cnuIg5lXqNGAVe\nXCEtRXyPpDgYpVB1sYQ5/g3DWDh6w1mmLqrSuWqMvpYMsijZsq2fctVBueenTZWEZHK1JLdM0XLh\nONayPM6zEYZ2tpMuR05YCBOwPOJuiVWtYwT68ihXI3xOevMufFAlm2rKb0wh7gWuqQMfEJSqzmkn\niWlbYwc9Wh91cfOz3w1oC/JLFG5HkbVdQ7w+8QxCCdysQEw6bN/TQ1U1Pq2RrwW5iUj98/mC4KNR\nood9Qoct1rcN0mHm+RiGsUA4wiLlFnCiVZYnxgnbVfxUDVmRVAYj2MXGt0k5gol1mmpS4cd9Ficm\n+H8u/Q4qAMERi5FcbNbXWUITtqusaE/TtmK8Hvyc4jomCxY0oAi30eSBj9KQy4ewc/KkgY8KKOy2\nMtFHwoTGT9IFKiCzwoLWCotbJ7mj4ymuCGSptHsEJuorB4SjUA1avv5CybYcSJA1CGQ0WkK1RfP6\n1LPnpT2GYRjny9uTj5GKF1FaYEsFSsykJXELjR/mKrUKdFcFNLR05GgNFNgYHOODb/0PbnzDZnKF\nIJuH+mZNf2IJTWugwLKWcQLdRU56by1ABRXxjjyqEVXhF7imDnxA4FWs+sEyS0yiJYQ6itjPRYgM\n+ycNjgodkvL6Iu+/7EHuXXMPd8YmSVphbr9qM7mlGh30CUUrlP3GF0qxhKYrlkMFFIFxiVtQTC22\nuOuWB/n1yPwWRTUMw2g2a5wAf77q+4yUpntSbIXwILG7PiTUaE4B4rESbl+Bmm9xqJAkIV3elRjm\nUz2P8sFL7qeYC7Ar037S3G+u9GiJFtFufbXXbGRRUigEzUhXAzR14KMBy1UzCQdf+KAO+5TGwsQO\n6NlzPAgodkgmL/F538UP8d6WfQTE0eDmA+0P0bN+GBn0ua5vL3GnPG+f5YVqyuJgPoktFKlAETdV\nxi7B8NWC9/7u9/ij1udwhAn9DcNYWCwhuTlc4U+X3ocrPaItJQITEi8sGLlKMtVv1RezNIibV9Qe\nS1EeDxFya9y96KGZ64glJHe3HObPr7qXiakIo6UYtVm6bCyh6Y5M4bRUkOXZC50KDX7WAbOQd941\ndeAjAFWTaHmSrhxf0LrZws2deKRoCVP9Fpnry3z0ld/h/cn9WOL4j1vTMLCzA1W2KHiBE2bmz6eB\nfAu9kQzvbP8FUihqIyGK3Zp1G/YRs8qM+KZAqWEYC1NWlThYSzFUTFAquRSXV3nP732Pr7/1k9z6\nzofJLm/gTaGG+H6FLEraI3mWOBMnPOXt8TQfv/yb7B1pY99UatbgJ+GWWdU9ip+qzZqeRTkagspM\nbm6Api5SqgHti1mPAxXzscdtgpOzh8fFdknpqgIfvuTH3BEdBk4cxipom0R/tmGlKY7wtaBQdfnl\ngSU88sv3EhiX6OUVfGmz7XA3VXUV/y6v4A8W3c+rQ+ehb9cwDOM82VYtcfsj7yX+cJBqQuCvqCLK\nFl/adw0PxC9gINeCF6YeIDRwLrAOaPalW9m/KMV698RZ1reGyzhXfI27H/0dyjWbC1pHT7iZbg/m\nuWDJEDu29Z1QgknWBH5NNLQ3a6Fq/l3sC4R6QWAyvcortW2WMV8BhU7J5KUeH7nsPt4eP3zc8NYR\nRVXlD3e/hUw6ypq2UWSj8qEDZd/BkgovHUIFFKVej6tW7UNUBXJviP3jKUqewz0TGxrWJsMwjGbw\n98OvJfZIiHKroNDvcf3anYhElYntrTz1/BLSmSgtV41QjTbu8mVVNMlnJJWRMF8ZvoaD3uyZ/V8d\nqvB3G79NsRxgrDR7ipSwXYV47YSeHS0BPfswmDG3mj/wkfqEqF4FFc64jVM88QgpJSWZixQfecX3\neEt09KTzZH5ejjGUiRNvLWAL1fDEheOZKLIskBUJlubxnUtJ7BQ4OYHnSfYMtDNaieJr819gGMbC\nEbJqTK1QlBZ59CxLA9DfNYGf8JE5GzUWZHQ83vCekdCEwp6SbBns4fv5Cyiq6gnPsYTkDZEMn7z0\nGwznYhzMJ094TtiuEopUZi26LTwzztUITR34CEBUXlCjS4BVsGjZcWLRulJKMn51jb++6Zv8Tmz4\npEHP05UKH3z2DspFl7Xtw9gNnNsDELGruIGj47yiJok+FyAyqkjsU8jno6xbMsjH+793wrwkwzCM\nl7O/6nqQ9jVpEJql8fp8moRbnpn0eyTZXyOHuY5st+1Zjd4X4bM7buBHxbZZb0wtIXltuMan1n+d\ndD5CdrqExdHHNSvb0qiOygnXMB30zVBXAzT1LlZawLExiQYtIJgWBF4wobncIhnf6PG3N3yLO2OT\nswYMvlY8Ualx55O/S7Vis27xILb0G97b42tBPFxGW/XtioogerhefV4oTS2hmKoECZqszYZhLDBx\nGSQVKhJuO1pGKO6WCCSnV90KEGXZ0JpdR1gVTXQ/VHfG+dyhV/CdQpKKrs363BuC8E8Xf4Udo51s\nH+84LviJuyUi8XK9h+eYjyHKlhnqaoCmDnyEmI50jv2bD+Hh44e/lCMYv0TzF9ffw5tOkvumpn0+\nk1nKnT//fQKux9KOcVobWIzU14KKb1NTFpbQRN3qTE9WaERil+rtKCclwb4cH172A5Iy1JC2GYZh\nNAtLSP5h2bewLEWmGppZfNKRyNd7QwQExi2sav2cebI8b/MlMqJI7IQDjy/iL7bcxqcnV5NXs6dC\nuTLg8L/W30smEznus1hCc1HHECqgjxYx1cw6/GXMvaYOfCyhIFGrd3FqQEBkQB5XlqIWFkyulnzo\ntffyttjorD09+2p5PjJ6KR9/4ibsgMfyVJqeSLYhn+FIwHO40EJVWaTLESYrYZQW9cJ1liY0qus5\nh9ol2VeW+Kv13+OVobIZ5jIMY0Fa5UT4x4v+naBVY2+2DU9ZLIpmoKWKrAhi+zXVqGTkCsn4m4sM\nXSOYWtK4/D7BSUXbsxqeSvCpx17Nb++5ne3V2etpvCk6xd9c9R8cziaOqwlpSx/dUuPYOhZuVpoe\nnwZo6uXsxxHTvT0jaubAqMQlY1f73H3tT7krfgjrBXN6KrrGv2SX8IXd15HNhlm7dJBUA3t5oL6C\na9Oexbz+wm18rPtnTCiPH+ZXc9/oelTcI77FRXqagddqbrr0WT7U9WOWO1HAJC80DGPhujGkWLfk\ne/zD+EaezfYStGokWorkRwLUwoKW3zjMt1b/G23S5UeXtPGhTW8kMBEiMNWYyMGqaFLbfUKjNtuH\nl/HGNb/P317yHV4Xzp6wkvgt0Sz7lj3FP2+9hqlkkGWJNJbQrF86wDO1fmSuPpdVN3iJ/kLV9IFP\na1uO8VwSWRU4OYldqU/68QOCfJ/g4gsO8K6Wp3HE0WKeNe1zTyHF32y/hWw2jBPwuKh/kLhbamjQ\n42tBRyBPIFxj01gfl+y6u56Q0ZcIWyHKFn4Alt+9g+/2fZ9uOwqcnyrxhmEYzabNivDRji1k257g\nvsIi/uLQbfhBReZyn1elDnF/YQUHq6388NBavKJNqVNgVwRWpXHn+dC4ws0JCuMx3l/4TV6xZifv\naH+EKwNlwvJoOfn/ltzCF/W1jDzTiXOZT190krhbwolV8Irhei2yqYY1e0Fr6sBHAJZU6KDCytqE\nRuqlKZQjSF8iqCU8Cp5LTmlisj7BbGtV857n3sbYYAtOrMKGZQdwpd/QrMxHHMoniThVypkgSgki\nT4QRCvwAlNvqxUjVFVP0hjI8WFrM9aED9Nsm8DEMwzgiq0rck1/Mx559HdGfh8ms0VCT3LPlUn6S\nWENHLE96JI4V9rjmjm3814OX0Pl4Y7tNrKomftAnOOHyxPMX8VDfBfQtH+MjK+7lQidLmxWiphVe\nziE+LDiwo4vAWo/u8BTtLXkG8y6y4GCVMJmbG6CpAx9H+oScGkiNVRHYJY0z5WGVfcRF9Ym/hycT\nvHv3b5ItBwHIlwI4ts/alQMNH9Y6VsFz0VqwbdcirCmLWiWEt7hed8xKVehMTZH7cRdT0TCbW/rY\nk2/jW3oD7+x5hDdEZk+OZRiGsZA8Ualx1+bfJfBAnHgRppZD56oxRsYSRJ8JUup02ReIY9XAr0nu\n33EBordMKRUkNNHgyTIa3Jwi9Twk9kryz3Zx99J34yzPcePi3UxUwwhPUuqsX5MuahkkbFUZKcUY\nDvoI7WBVNcI3Y13zralnzwZlje7wFMLSWGUIjfsERgv4YRu9ogiOojQZYvfeLtLjMYK2x7quIS7u\nPEx7MH/OQY+vBTVlUfBcSr4z8/tgIcFIKXZCfoZjXzdejnBgfzsyZ6HFMbP1YzUu7T/E7YueQdlg\n5yz2DbQTtDyCdo0vHr6enbXCObXbMAzjpS7tF3jfc79F7J4YobSi0COodPj0RrN86Ir/pBYD4dXz\nuWkLZElCxkHVLIpdJ+k2EVCLCCoJSalV1leEUR9FqMQlyhEzz3vRdL0HKDKi6NikCN0f4+ffuYxf\nPbgabWn8gCZy0OJQKcn60CFWxUcJhaugwClohGdmN8+3pu7xGSnHWBZJsynQT2DSxSr77H1zkjfd\n9gjXxnbyZ9t/nXLVYWnrBC1uCXkOGZh9LSh6LkoLlJYMF2L0xycZzCeYLIS4uGuQfC3AgWySyQNJ\ngl0FLKt+gPa1ZGg7JtBSWuKrekZm4Og/kQBdsRjMJ/jc/hvoOKyotAoo2GSqITpDOXZNtPH59PX8\nv92bz3X3GYZhvGQ9XmklvT9FT0lT6LIo9R6drvB4dhmpjcMMDqaQ2aOXMeELRMbGi2m0dXxJI9+t\nrwCuriyhPAkVi9hOGzerUbdP4ClJ6ZEkhUUKHVC0PmXhBwRuVmOXFULPUiLpNKQHkRGfyAgoW1BO\nWFSSgkUPZJh4uI8/unMVb7r+cfqTk+zzEgQnPfygWdgy35o68LGHJf/x7eupLa9Q6hDI35jiPUue\npKYtHsmt4pL2QWpaYgmNr8UZBT3+dGBT9Oqz7heFMzw70Us8UGa0EKUrkmO4EGNsIkap6pCbChEI\n1VgdHcESim1D3TgZyfVX7uE97Q/x7ewGNk304ykLy/IA8LTkwEAbVsY+bnmldjRWtEb2gS46Dyms\nqsbJSrwI7Eu3QhtIActCY/OyPw3DMF4qIqKKSFQpdgTJrlL1tCa2wpU+OS9AMljC7Rtjf7Wz3ttz\nhIBaR41KzCGYqd+cKhuGr9V86DXfZWNoL/dNXcxPR1dzaLIXbsjw/637dz4z9CqeWBvmTes38/DI\nMiZTYV67bAff37KeVFuO/LOtCE8QmIDghMYpHUk6e+rPoacT0UpPE5pQhNOaSkcYq+ix8utFfrZ5\nI+M3lbFtzf7bBfEDZqrDfGvqwMcLSpwClAs2pU6F61l8+9BlOJaPLRUxp0zQ8qgikGg8QE13r9hC\nUVUWVd+mNB3kVHybXMWlUApg24rCZIht0W68oTB2QVBt9RmRSWTBQrXUKG9pQXfXqI1G+O7PbqSw\nSFNLefRdMcx72h/ikkCASzq28JPoDr40cv1M8GULNZNleoaopyMPPhOmZa8/s2TRyUN46STj+5Ls\nPBABLeha1ZgcQ4ZhGM1qT7WDYKhK/gaFLjiEWspc2DlMwPIIUC/90xnUDKXiVMZDyPJ08KNBSE01\nIQhm6n/KrLD4v276Hu+KD2CJILXYFr6684qZbX380OsYLsTQVck9Oy5G1SRowWPDS8EXuLaPWlpi\nSec4u3d3oTvzjI5HEEWLwLhFcAzsksaq1Bfg1L+mf9bTBUiVQAtQjqSSsNDSQVn1FcrycBA/pHFa\nKqRrwYbv64WmqQMfPwTedVk6w2XEl9vJDqfIdil01EO6PqpmIUoW2tKIoI8uW8iSxCoLvO4qoViZ\n4mQIUbLqgUbcQ1ck9qRNNaSRPtRKFtIHL6yP/uMActLBi2pE2ULbkFuq8JMe7Z1ZRp7s4k2jd/Ph\nDT/i7fHDvDYMP4+M8eT4YnoiWQ4XEuCJ+hCXBm1raKkR3RqkZbd/XJ6G6JBP5uE29Koqyy8c5vLU\nQW4KjwAma7NhGAvXW2P7cdb+mJwK8fc/vwXH9uuVzY9R05LeVJYDNRtdCcwkuiXrzPS2+64gcPU4\ndyX2AxY/LVl84tDtVEoOgZU5KltbeKY1BqI+T0gXLIQAFExMpLA0jObbQcOeyR6EJ8hPhbBCHr4n\nsC/OkSsG8PM2Vs7CT/igQFQldl5i5wV+SONOCbxQvX2yCsoBL6Lx2itctWofW36whsCeMF6pqS/L\nLwtNvYel63Np92GmakFKg3EQAWRNUm1x8MI2cjqwEAh0RWLV6pG1cjXWiEs54yCpj8tqATpnI31R\nTxOuqCdFrImjw1HHjpQdmeM2PSlZS6AqcSyf6EEI/crl49vfSPo37+eDqee5I7GJpzOL8LUgnY8g\nykfHabWriT4bJLHPPyE5VW6RRWGxR2dXhrf0bOJdiWFM0GMYxkIXlUHeHk9zbyFMbJdNvpxgu+1z\nQevwzLQGS2h6IxlCvTX2uG1UBiP1XhYfvAggoBoVvHvFwwSEwz9MLuGh9GriTpmrl+9j00Aftdjx\nN73A0QCK45MKiur0H8ddNCA1FPfXK8VLBdqu1xETtfqNrx/U+CENCryonilNAaDCCjteZVVnmuuT\nu9hWW0P8oId1YtF3Y44JrZt36ZwQYgw4cL7b8QJtQPp8N2KBMfu88cw+bzyzzxuvGff5Yq11+/lu\nxMtZUwc+zUgIsUlrveF8t2MhMfu88cw+bzyzzxvP7POFqanz+BiGYRiGYcwlE/gYhmEYhrFgmMDn\n7H3hfDdgATL7vPHMPm88s88bz+zzBcjM8TEMwzAMY8EwPT6GYRiGYSwYJvA5DSHEm4UQ24QQSghx\n0tn/QoibhRDPCyF2CyE+1Mg2vtwIIVJCiPuFELumvydP8rz9QogtQoinhRCbGt3Ol7rTHbOi7h+n\nH39WCHHZ+Wjny80Z7PcbhRDZ6eP6aSHEn52Pdr5cCCG+JIQYFUJsPcnj5jhfYEzgc3pbgTcCPz/Z\nE4QQFvBp4BbgQuA3hRAXNqZ5L0sfAn6qtV4J/HT695N5pdb6ErMk9eyc4TF7C7By+uvdwGcb2siX\nobM4V/xi+ri+RGv9lw1t5MvPl4GbT/G4Oc4XGBP4nIbWervW+vnTPO1KYLfWeq/Wugp8A7h9/lv3\nsnU78L+nf/7fwBvOY1ters7kmL0d+Iqu+yXQIoTobnRDX2bMuaLBtNY/ByZO8RRznC8wJvCZG73A\noWN+H5j+m/HidGqth6Z/HgY6T/I8DTwghHhKCPHuxjTtZeNMjllzXM+9M92n10wPu/xICLG2MU1b\nsMxxvsA0da2uRhFCPAB0zfLQH2utv9fo9iwEp9rnx/6itdZCiJMtPbxOa31YCNEB3C+E2DF9d2cY\nL2WbgX6tdV4I8Xrgu9SHYQzDmAMm8AG01jed41scBvqO+X3R9N+MkzjVPhdCjAghurXWQ9NdzqMn\neY/D099HhRD3UB9GMIHPmTmTY9Yc13PvtPtUaz11zM8/FEJ8RgjRprVutppSLxfmOF9gzFDX3HgS\nWCmEWCqEcIE7gXvPc5teyu4F3jH98zuAE3rdhBARIUTsyM/Aa6lPRDfOzJkcs/cCb59e9bIRyB4z\nBGm8OKfd70KILiGEmP75Surn6fGGt3ThMMf5AmN6fE5DCPEbwKeAduAHQointdavE0L0AF/UWr9e\na+0JId4H/BiwgC9prbedx2a/1H0M+KYQ4l3AAeAtAMfuc+rzfu6Zvj7YwNe01v95ntr7knOyY1YI\ncff0458Dfgi8HtgNFIG7zld7Xy7OcL/fAbxHCOEBJeBObTLNvmhCiK8DNwJtQogB4COAA+Y4X6hM\n5mbDMAzDMBYMM9RlGIZhGMaCYQIfwzAMwzAWDBP4GIZhGIaxYJjAxzAMwzCMBcMEPoZhGIZhLBgm\n8DEMwzAMY8EwgY9hGIZhGAuGCXwMwzAMw1gw/n9vqfv5doMqjgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "plt.imshow(np.angle(roots), interpolation='bilinear', \n", " extent=(real.min(), real.max(), real.min(), real.max()), origin='lower')\n", "plt.colorbar(label='angle (rad.) of final iter in Newton method', shrink=0.7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What this illustrates is that when you're close to a root, indeed you'll converge to this root. But the boundaries between the \"stable\" regions are incredibly complex, at different scales. \n", "\n", "We can compute a zoomed version of this image:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "real = np.arange(-1.2, -0.001, 0.0011)\n", "grid = real[:, np.newaxis] + 1j * real[np.newaxis, :]\n", "roots = newton(func, func_prime, grid)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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o+rZF8a0NPt3/EJFOsj9o8cnSDXzmxE4aLZeenhKbCxMANPsd0rbPj3d/nU/P\n3MippsJqWah0BLX4Q87PafRoGqSmfjqDKPjU+xVWTVI81M60VeAK1NiuHhqshiT9uTaUFdf0JKY1\n6rDLkXQntw0foydZuaJNiLSgHCQ4fKiPE7ODREnNyLsC+rtnGZvKkf5Gmr/71T8jJ5e/t0cD0dLN\n6uoCgrnQkwTeDHxwSU6+iAk+hmGsGvU+QbMnYvPABP9p6CF2ujPkpMuGt08wHuR4vLiWQqJBoitk\n1Fa0JlI0ugQfvPHT7PWzfHTydl6a7kVrwe7uEdR5U6kSVkCgLIbtOg+d3Eo+mtu7S5173Dn3TXnn\nrL8zX7RsfBcE8Uy3tEIEAndGIEPF5OtDvm/Xc3xu706Se5JYlvqeNhv9bllCk3fr2G0+qpYgNSpp\naJcJJ4tqWoi3TbPOWf7Qswz6gI/O1flI4ONa639d6kaY4GMYxlVPW/FU9Evxs5JGt2J42xl+fe3n\neX0C5ut1fjo/QksfZ7zwBI/U1/LbT7yTVCau/6gPKL5R2cw3RtfTlmixuTCJI6OXhR6ItyZ47Mg6\n/kfmRsJn86Dn9uyyFecXRBuXiSYeRgRSfVW0BvtYjskb4P+48RvcndnLZ4s3Ut/e5K7B4xf8d7vc\nIi0ottLo0QQyFLSdUCSKgqKVwGoJ/vZNf0+8lM3KsFTr+GitXwB2L8nJLsEEH8Mwrk4C6l0SoWD2\nrgbyRBIRQnoEUlPqZUHIbxOkN87yBxs/wQ2e+7Kns7HY7xf4p7Gb0U0Lf6QNUhqrt8HXTm+kO1PF\ns0M8GV70w9OWEZm2Bs+VBrFacftqgwq76KAcM351JQgNTlnQalfURzNoqZHDityGGSaCLH8ydg92\nd4Pb1x0l0PKK9/ZA3OPTlagyunmG1rc70EIjIkiMW9z3777Ndd7KCT0alnRW10pggo9hGFelap9F\n4v5xzpxqpydfZbzq0DM4Q3lbAv1IG5mRs8lHOYLqkObWnpELhh6Avy6t4cP/8/tITGuyWUFtQDG0\n7QwzX+inkU9zqD0XD09ZmsLwDMO5GaTQ+MpmMDXLyVqB9ZkplJJMNTLc8q4XOF3Lk41sTu7rXfLN\nJ1cLbYFTg9wRkJGgvNZC2VAb8Bht5EjbPrevOwpc/rV6LmbPVB/DuSKWjKfTT94I1mCNjn9O8ea2\nJa3jNS7ABB/DMK5KjW74v9d9jd8p3cvkgU6khsmDnShP0dgR4s1I3JpCC0GQEngby3yg/0HOn44O\n8D/K3Xzqk6sBAAAgAElEQVTw0XuR3YpGLyAVneuLvLP/BT68qZvOpyyKbfEWB7IlKe/rYM+aJF4i\nIJdsUvE9Tk0W2Ds9ROq0xcmhDOPdWZrTSURLmtBzmWlHxws5zuUYt6SREUzvELzhbc/y0J7tyNEU\nT9bX8sZtB5e0bZEWFGfSlJ/rQFsQdSpSw2Vqo1nG72txk1cCUkvapley2n49TfAxDOOqEaQFlSGJ\n1QK7Dn9x7A2ELRupQAviYNKUaFszs03Q/XQ8JNXoFPzHLd9kw3kFpfv8Oh8681a+8eh2nME6ie6A\nfLJJZ7JKzm3yhvR+/jz/eryyh12VRCl9dsjqTJJq0qPWagNbxysEpyLqA/Gu6P7ptKnquQJkIMhv\nKlKqJNGnUqTGBE5dMfr2gIfv/mOyUvDE2DDViQJ26spNV7+ULYPjHDwzjOppkdyXoCazIECXXArW\nygo9Gr1ks7pWChN8DMO4KvgZycTrQ0RTx0NOQlM73Y6dDshumqFa9wiKCUQo4ouKV2eWkaY+qPgP\nbS8B8eq4deXzQGkzf/z4Pbhpn94dEwxlZ7BlhCMUCkHJT7DFUbRlGgjlkTojKG1V5ywsKBtz0caP\n7xOBeUu9krSjES3BTDnFcHeRqaRPOFtAWSAEfGD0Xtalpgkii223HiNl+8vSTik0ylNkn02QOR0B\nFvUNPr95+5JPYDIuwPwvNQzjqhAmYfP6MU7P5rAtxc19J/nKvq3k2+rc0nMCW0Y8XxxgopyhMZYh\nckW8A3cL6GhRkElaOuDLjSxfKt3IY+Nr2Tx8hp5U+ZzaD4UgUBa/tuZBIjSlwwXSOq7V0OkIUTJv\nm8tFJyJ0TWIfSjHxbArlQH29T/71RfRYgW88v5Uja6e4pf/EkszeuhBLaNqcJuQCrKakPGwhQ0jm\nm7yvbQRYGYsWLtAQra4OHxN8DMNY+aoDFpVhTWm8Eyk0XrrJmwt7kNcovrT3Gkbb2gDoSNToS5U5\nnOhk8kSBar+NU9P86o1f5EjY4DOVa/nowddxbc8o29rHL3q+k5UC//vYj/EXu/+B1KgEIloF8DIt\nAhN8lo0s27TvAbcaMXG9xO+MEE2LscNdDG8eZ13bNMCyhZ6ZVopjM+2syc/ipQL8XILa+oCugVn+\nZNs/4SzDBqSvRGNqfAzDMFYWAY0usIZqvHPTi/xg4QnW2z6dVpofSH+TIz1f5mjQzr+VdnKm2UZf\nooTdHpH1WoyNDBKmBL/3tfv5cE+VXT2jXN936hVn91SaHn7L4Wefey9WAI12SasrQtdcU7ezTLQE\nuybwyhGRKxBbqtw9dIxHv7QTuy44lSswlC0u2cytC/GVRWWkjVNfLdDcEcCWFqm2JrPlFIN2gwsV\n1htLzwQfwzBWtDAhkD54CZ+c3eBmzwEcACwh2eyk2ey0eFvqKSKteNEP+IWDP8SpkQ7Elia2E+EA\nac+nGnikbB/LCgmUhRQKS2giLQiVha8sfGXz/q1f4jcffRdt2Trv+omH+chTd8SF0zMOy9SZsGp1\nbZlifDSPaFggBUFKMv46+NItf8GQneTe2wocPtyLBOqhS9a5chuPvpJ64KKlpj4QF7sXHneZvcZG\ndvgrbYBrEUG0yn6pTfAxDGNFKw9Lgu11/mj7p3hTssWFVkAOdMRnawX+6977CJ8o4M5CJgPRzWXs\nb7URpmGykGQ80Y5IRRQ6KlTrCdrbamgt6M+UODTdRX9bmbLv8Vtf+EHa9wqK1+X5yPgdJI+5tDpX\n24DA8tKORuR8EnbItg2jHB7vJH0gQ7MguP/2J5HAn81u4OjzA3RuLtKerC9bMfM8SyqQGi01bS85\nJGYVdk3yllv30rdCd2HXgDI1PoZhGFfY3NRzLXnFNW60BXdvPMAdiRqWuPDigw810vznT76Xzhc0\n1QGorNPIwTrX943yTGeWtqPQ7NLIloSmZHamHaFgKkqjLc2E04GIBKcn8kS7K1hNQWV9vNklNQu/\nXZ1tt3HlCfB66jSnk2TcFntfGkK0+dQGNWqowTfH1vG10xuRQpNcW2E4V1zWnh6I1+/pS5UZ78rS\nqGdxapqZrZLM9mnuLzy3rG0zzmWCj2EYS0JLUHY802ritojEGZvWuibZZxOkzyis1gX+7BTxbuY/\n2fU1UvLCoaekGjxb3wrra4wVEohQIwo+m/sm6E2U2Xr7MaafHSYxadHoD5FNudAePVcPIgOBcjSt\ndo06k4JMvNll/OAq+3N4JVCQeTBDe1Ux/fVhcnlJ6WZJmFZkUy02FKaxhcKW0bLW9MyLtGCsHq8S\nnfJ8/Fb8ex5sanD/4EHellreUPZKVttQl6nTMwxjSdR6Lc7cqZm4PeS9r/s2YkeZ/p5ZWrdVCH9k\nmvLwy6sgwoRAdfmssS+8EF1JNXjz8+/jI4++nusGR7ByPn2bJrln835soXhzbg/3d79AkJLkDquz\n6+7ME/FFy3hXdG1rRCTOhh5jWYhIkJyJkGHcIzi7O+CXbn4IZ1ZSO5zjyQPr8KxwRYQeiGuLDh/s\n4/lDa6g92kXkahL3j1PI1XhT297lbt4laeLgczkuVwsTfAzDuPIEzF4X8H++8UvgaP7xhZtojqYZ\nPdBNcDrN5KkClY0Rs5vODT9+RtDRWaEgEy97yqmoxrsPvIfpmQy7tp9AacGNwyfZnJ/EVzYp2+cm\nb5qE8NEW2E1N2xH5iru4G0tMg7Y02tVoJy4KdksCZQm0BRPvbPLwW/47P5jdT5BXRBkF4cr6kE1Y\nIdga0bCoD4d4RcnkS12kXZ+8rC9384zzmKEuwzCuuCApePcNT7ElMUpnd5ni4faFfZYQ8QrI2tbU\n1kR4RUlyOq6p8XOCX9748Dnrn7R0wO9P7aIcJkjaAbuGTpNzm+ecrxE57JvsoXtdmlKUPifsaBtW\n2Qr9K5rVEkTAzl3H2Hemh2AiSWJaY7U0I3dJvnT7n7LOyTAV1dAJhaxa9G2bWO5mn6MeOtjpAFVL\ngBIkJzRaSkaf6mNkbQEoL3cTL0nplRUkrzTT42MYxhWlJdgtzSefuIlA20xPZdFWnDyEYiGEiFAg\nm5LqGoGee2eKXHhd8sTCc81Edf5kZiufOLKb52YG6fKqLws9AEkrYEP7FBNRjf/+5D14lfkgBcmh\nyhV9vcZ3QUDYpqArroHJZRrYnU0iV9DosIjyIU0t+anTt3Lboz+L8CI2Xnua9bmpZW74uVwrImzY\noMGuC7yyJj2mCTpCbkqMLnfzLmk1DnWZHh/DMK4ILSFMCqoDEuVC5gj8Su4HsCZc+nadoRE4TB8v\nQCTA0gg/rrEBgd1UhAlJsz8iKzSBjvhUtZMHi6/Hk9HClgQXW6G3EnjsGe3jP+ofQBQdQi8urG52\nK0TTWdofhHFhGqQvUB0tvP1JXogGSR7wIKspbwvx2hu0J1u8b8+PUaok6SpUWNdWXFh7aSVxZUhn\nT5kpP09iwkYLjd8m2L7lND2Wt9zNM85jgo9hGJdd5ApmN0n8gkKEmrAtomtohsb+DuSaOu8YeIFj\njS6m8tOU/QSnZvJEkaRVTKJagmq/TWJG4XQ2yEmXD05v5yOP38nw8CQb2qYuuSVBpAXVwKO/vcyL\nRwZZu3OMUz3tqFkXIpCnk3EtibG8BKiBJm2PJcmMRLDXptoHyhOIaQs/4bK5Z5K8W8fqXJn/XpEW\nlP0kI5UcadenmA1Ij1qceVPI7s0n+P/Wfx7vIkswrBQaQbTKBn9W16s1DGNJBCnBPd//JL3bJwjz\nIZs3j7KzY4ybX3cA9/k0f7f/VlqRTdr26UuV2d03ws1rTjCwdoqw12dmu6beGb89/fzpu/nMyWu5\nadtRhrLFVww9+6Z72Zobp9RIkDzq4lkh927ZA4BTlih7ZX6IrjoaUs8nyYzGBViRJ5i9qcVd9z1D\nkFV4xzz2PLeW8XrbMjf04pSWzLaSlKoJZj/Xjy65TN2scDI+zx4cXu7mfceUFpflcrUwwccwjMvO\nbmn+9fHrGS+2YWVCQi0ZShb5jYEHSd4xRcINGGu0UQtdOt0qB2e66EuU6c+UuHbdaVQuwM8LNnRP\ncbzazpb2CVwZobQk0oJo0ZtsLXQ5NNvFS9O9eDJi6nSeBx+6CetzBcKU5sDxPp6cHEL4giipzSKE\ny0mwUN8FIH1Ag3IEU9cJ3n/LQ/xQx2NkTlgEGQ22Jr3MCxNeihSKEye6cJ/N0OjWiJYgOWLRna8y\nMFjkRBgudxONCzBDXYZhXFZhQjC1S6DdiBuGT/LU8WG25Cb4tc7n8USSb+3+GApFRfk4QuJgUe16\nlEhrvphczzdmN1PoqDLb53B4vJMosDjqdyOaFlZNEuZCrGxAf0eJjNvi4GgPWsFA9yxf2b8Fq2IR\ndIY0yg5hNkKWbCZKXQALRdPG0tKWBi3IDpfozlYZK7VRP5VFBqBsGLtT88j3/QFDdjx7q3VzFXEs\nXlU71Ct3l6uynyR50qHVromSisS4RdsxxYzupdmlGN+UYdsK3/t8vrh5NTHBxzCMy6rRJQmzIe29\nJd5YOMA/rXt47pG4qDiemm7hWfHtSCu+2mzj5x99L4nDHjKA+kA8/JF5JE1tDUQJHa/87GjsWRtd\nsRgdSRLlQ0RDYtUlpxqdYGm0pREtSatTIVbYei+rko5XxpaBYE1+lp5EBaUFR9sS2E2XqV2SP3/7\n3zJkZxgLqzzcGEZraNs+zbp8EVeu3IWXEnZAY9hHlm2suiR3VOHUFTKUdG2d4kavDrx8DaqVRRCt\nsr8ITPAxDOOycssau2zRChwONXogP3LRY6uqya+NvYGH/+UG+g5GtPKa0kbo3FCkWErTnEjR+bxi\ndoPEL2iUrVHu/FCJRlbj3gDlaWRtrmdAgAiE6d1ZIYSG9IYSlVKSUEmSVsBMPQkNi1ZeECUUP/Pl\nH+Vn7/gKXx7fxuEXB9m5+xgZp4WzgkMPxLO5Mh11GrNtRCmFloJ6p0X92gZ/ufXjZC6w8Kax/F5V\n8BFCtAP/C1gLHAfeo7WeOe+YNcDfAz3EvWoPaK3/+NWc1zCMlSnyBJN3BHhtLX7lmi/y7swocPFZ\nLX9UvI7H/up6CqWIepdFdVijB5tsLkwym67St6HMi3+yk9S4ptVh6nOuRk5ZEj5RIFeC6UeGKOoh\ngm6Bk9c0ejS9OyYYzM7yYmWAnlSZnlviLR5W2pT187Uim1BL1rUXeXEyTe5Fh0YnbHr3QX4wf4Kb\nvZXd/nkaUKus3PfVvtpfA76itd4EfGXu9vlC4Je01tcArwN+Tghxzas8r2EYK5CyIdtZY33XNN12\n5aIbi8776sRm6r2CM7cKypsVYS5iXe8UU800P9z3BL/X/xAz1wgSM4r0SLy6szT7aF1VhIL8oYjM\naERiVuFnBdW1IZkdRZyqYPRwF8+PDgBx2Jm/rGStyOa5sQGqgceLRwdId9YRGpQHUmje337gnNXG\nV7rVtoDhqw0+3wd8dO76R4HvP/8ArfWY1vqZuesVYB8w8CrPaxjGCqSFoHY8x878KHclq5c89umW\nT7mZoLWlgZ776zjR0aArEX9fpAWdVppwqAkC2k5EdD4liVIru1jUOJdTBsuP/32DlKC6VvHTd36V\nX9nyEN40OCVJczaBr66eyotmZNNqOJycKZA86lGbTVK+pUHi9VO8NN7LYyt3ItrLaB3X+FyOy9Xi\n1f6m9Witx+aunyEezrooIcRaYDfw+Ks8r2EYK5AMNU5JMhsk8cTFV0guqQa/d/odzOxvp3fHBJWs\nR9rz2VqI92Bqc5ts9+JhsvX9UzREP0JB5MX1O8QLPBsrjMqGZDtrKCVpnMyChqANtBQoG6bua/K/\nbn2AGzyXfX6d2V0BVtUCobHF1RNoS34S63QCXU7S7FWImkXbPpepHQ5bto7w1eo13J7Yv9zNNC7i\nFYOPEOLLQO8FHvqNxTe01lqIi/dPCiEywKeA/0trfdEd24QQPwn8JICbzL9S8wzDWEGEhiCr2Ji6\n+CaSY2GV9x36YaZrKdIbS3QlawxnZ7AXFbKeqbXRZfkE2uLEZIGe+f28NNj9dcKxlNlodIUREWzf\nOEKb0yTvNvjC5E5kzUKE8To949/f5Iu3/ykbnAwAo1GWfG+FRsthTaGMvIqCTzO0CdsUUSJO327R\nwq1o7IrFaLmNvV4fdF49wedSi4K+Fr1i8NFa33Oxx4QQ40KIPq31mBCiD7jgu50QwiEOPf+gtf70\nK5zvAeABgExhjXlrM4xl0miXyBDcmqLRHu+YLjSXDBzKBpVQvDm9F3j5HkVV1eTde9/HzKO9yOtL\n3NR/8oLPM1nO8LHSbt6Q3o86nVo4aeQJUgmfkkixwstAVhcdz6ybqqcZ6Jylxy0zvG6SUxMFknsT\nzG6Q/OFNH2etnWIqqnEgSPJTj/8YOhK8cdMhapG74ut6FutI1pmalURevMxCakzjVhWZUxbezoBf\n6v8ilyrqX0nidXyunmGqy+HVDnV9FvhR4Pfnvn7m/AOEEAL4CLBPa/2Hr/J8hmEsgUaHxPmBCSb3\ndFPYNkPCDhkZaaenb5bq17tJj2rcysv/Qrd8sMsXLuqsK5+fPPF2xiby9Nw+zobc9EXPH4WSv/3s\nPXz7jvXIUOBnBNUBgX3LDJWTOeTChqbGSqCyEbdcc4Qnjw6T7AloKZuR5/pQHQF+TtDxxjE+M309\nv3OwD8eK2NUxyts27aMWuSgESStY7pfwXUlYAUGbQrbinhKvpFE2VNdofmfzv3KDd3WEntXq1Qaf\n3wc+LoT4CeAE8B4AIUQ/8Dda63uB24EfAV4UQjw3932/rrV+8FWe2zCMy0jZECYlMtTM3t3gP6/9\nJv9t4l5mSmm0BmFpZiop9K4azZ2S5PNJ8ofOXWclciBKarIyYHGPT6AjfmfyRiabGa5fd5LsK2xD\ncO3gCM+Ga3jh2CDehiqpG8o0aynKMymwNEgTelYKGQjErM1zX9lCz0uabz90E0Ea0q4gmHUJUzDb\nSDDuZdnecQaARnTx+q+rQcIKWLdtjGMH+kidtADFzGaLn7nv33hbss7VtRuUWcDwu6K1ngbedIH7\nR4F7564/iilDNIwVr7Teoj4UIQKBPJ3kD703oWs21CywNQKIph20iKco13c2cCoJ0uNqYfjLbml0\nNqLHOvvWEmnFb07cwMcfv5mNm8ZeMfQEyqI3UeHnr/8qD3zsXsIdAa6M2Nk9xjenNyJb0ixOuIJE\nSYVbtOjYEyFDsFuK6qBNYzDitt0HeOYL19Dak+fkDsh3N1b8ooSXcrJaYKSYY03HLMVaCrujQfKp\nNKUNkqG7T/CLhcNY4ur65TTr+BiGsToJqK0P2HrNKXq3ThD1tKjPJOOQsWhIaSFwCFAVh+owFLee\nHdoSCvr7i+esWPuJagef3ncdGzeN0ZcqXbIZkRYcnOni2swp/mXkOiwf1Kk0B4/38s39GyEwb1kr\njQgEbgmsIP49Ka2zqa8LuG7nUX6m92GUo5GhoHEwz1On1yxza1+dU1N5evMVSs0E1r8W4Gia6d0K\nLeHoeCfTqrHcTTS+A+ZdxDAMtITNG8f4zObPMZyd4Q1bDtHTP3vhg0V8vGxJNBC0aerdZ99KXOvs\nX/Rfb8JvP38/2wbO0JcqXbSAdX639XroUm+5fOjBd1L9RB+NbkWUiZBlG1mykQ3zlrWctBUX89pV\ngfTjZQXcsqTtZIQWgjAhKG/3+cDrP8Pfr/8c/VYdZUOQ1nEhsL66O//XdRU5cbSb6re6qA4KwsEW\n7qyEnRW6CxV+4eQ7iPTVMzttXqTFZblcLcy7iGEYAByfamcsajDdTDPZzDBxrOMVv0e5mjCtKL+h\nQbMQv51MlOPpyifDKv/PsXewuWeSvFu/aOgJlEXG9mlFNv3JEs2Gi7e2QuWeGtoG4Zu3qZXAagq0\no1m3fRQ215Bz9chqUY/g+Ovgi2/+Y36sbYKMTDAeJQkHWkQd8cGDHRcJ01eJWuAim/EGuK2eEB1I\nUmMQ/P/svXecXWd95/9+nnPO7W16H2k00qjLsiVZlo0LGBtjMJjABggbkk2yQArht9lNIKTsksIm\n2QDhRxIIhMUYDAEMNr3Y2NjgbjWrWl0z0vS5vZ7yPPvHHau4SDKSNTOa8369zmvuvXPKc+7MOefz\nfOuRGJ4WbBnqpqLtmR7my0Ij8JAXZJkrzJ1SmT4+Pq8YwoP4fVHuXL6eq5oP84OhlQhHEOwpUsmE\nEVWJaLBRjgRXgiswcwYqpBGOwM0HsBOCUAbcvQk+umQp3zh8OfFQje7o6Q87TwtcZWBKj8lqjKId\nJBWqsGuoA60EoX0hygsNkPUY5jmU5XxJIzxAQFOoRLDVJdI5zDPHutCHI7hBwdh1Ht9+3acYsKJA\nvV7T/9j3bkQ6wIJVIzieQVd07gofTwtylVA9xk0DpiI0GCA24uLETKa2t7Ji06EzFu70mR34wsfH\nxwcnIpAu3PWt13DrbY8zdagB6Qh6GzPE2kaRQhMyHMKGg61MpmpRCnYQT0mO7W1D1CTlTk14UhAa\nF9zx/ddgLC6yunWYmmdSdIOUnACvbt3H4+k+BrMpCpkIKAE1yfGqBAk66VBt9ZAF/9Y0a9CgDVi4\naYh9g220Bou8vfUpPnfsWmLRKkURodIqwXT5Tn4tj1t5fjK5gs07FwHQs2KMhfH0DJ/E+WMITX/j\nFDsPJeruvrRF/IhGC0EwrSkuc/j3Rd/CEtGZHurLRs2zbAH/7uLjM4+pNEsqzYLyAhcj7hDcGeb7\n399IqCZ4ze2bWRCeZHu+50QmznP9lJqCJZqCJTwtMFYopkoRCsNx7JhBtVXTevkYQdNlb7qNbCGM\nkw1hFAzuWpikOhXGzBuYGryYQlbrsSJagMz6s+VZidAsSUxwbH8v9x2/gh8uXEFwTxihwWtR5Fc6\nhBI17h9dhiEVY/k4q1fUi1M2BUszPPgLh6slXszDKBrED0EwrxBKU+oR/PP1X6ZBhmd6iC8bv4Ch\nj4/PvCG93CBy9STVfY3IikR5AcSGHCuax9m6u48f/ewKGldMsig1hcXpKcg5O0TZDeBpSdh0uK7r\nEMcaUmw3exG25PixRmTeRBv1TC+pQZsa+1gUCSir7r8StvBT02c5KqKQMYef37WOhiEPocDdFSSz\nDOyG+v9FYMzCjbg0h4tETJveWGaGR31h8bSg6llETJvOBVOM7WgDUbeUjm+CtWv2c0u4POdS2ecr\nvvDx8ZmHuGFBtVmhq4F6lpalWTAwysJ4mjc3bUVpyZG7+8moZp5oTbB0wSgj+QTNsRJSaNrCBZbE\nJ3h94hlCwuF3d7wL89sNGMvr8Q+pzZJqk0BZUG2Ze1kuPicRIQ89FSQ+LXoAym0Su8Gjd9kYxyYa\nCB4JU4wH2TLVz6o1Ry8pKw9A1o6QCpRRWlJ1TFREYdQkmeWCz73+c9wY9piruUKauZWRdSHwhY+P\nzzyk0CN5/bWb2ZNrY2hfHK+5xqL4FFO1KBFR49N93+R33/ZWdg+386vLtlNTJjGrxu90/Jwl1hQL\nzQiGkEx6JT54/HW4jzTitIAXdwk2VkgHoiT3QiijsUqSUpeu1/6x/EjluYbIWMQGJUJ5IKDYaZBf\n4fCn136fX4nt51bnN5HjQaqtEqfJJWaeuUDlXMPTgqXxMVZHhvi3I9dRfbQZ0aqYur7Ggs4pdle7\n2Rh89rTaVXON+VbA0Bc+Pj7zEKsAPaE0pvQ4HO8gHq9ypNiIJT2uDhWIyRj3LvkxzmIPSxgnapPU\nTfkxPK14pKr4jcd/n8YfhwmjmbpME24uEw7a9K0bobgmSP6zPcSHPMyyZGqdh4w5yOMhVNAXQLMR\nbWlkTaACGuHWrQBmSRAdrv/9qylJ9nKb//2qb/KOeAaIsqxxjB2JFtywuiRT8NK1KMdLKe55YCOB\nrMRuqn8XIh1gOJTke3I1O0udfKzzwTktfuYTvvDx8ZmHxEY9vvq5m8ivr6JNTWl/ikqPxZsHdmCJ\nk5WYn3v9/NiFO/KdfPxLv0LbAYV0FVPLDaQLtYrF+q5Bfqv1F/SYeW7a9D/oegjCU4rOByUTa0P1\nuB/XbzI6q9CgwgoMTaC9wuKWSY5kGigfTOLENU5UIF1N7qYy39v0GZZZQUDiaI9l0TEe716J2VYm\nFa+gLqEORZ4WHM00UKkE8GKKSlQRbilTLQYJHQhSNcLQDD8f7Cfdfh+xOWg40Zp516trfp2tj48P\nAKVWSX6xB0qweGCEttVjXNk7yEdanzhrHRJPK/7v0auJDut6Q9N+Azul8cKK1uY8WTvCFyeuod+K\n8bs33ke5pX6bkY6mZZvGbbXxoifjRXxmHuEJokdMFvaNs6x1rJ61F61XXQ6mJcGcYnyD5NubPs3K\nQBhD1EXPXYUO7rz3NbgxxfV9B+mOZwlId6ZP54JiGR4qHUTUJLIqsWsWctIidUAhXMGhzT24rqTL\niMz0UH9JBOoCLXMF3+Lj4zPPsOOS3NK6K6O1LYshFHcuv5N+KwYEzrp9UdcYHmyiO6co9BhU2uu9\nimRTjb5EGoWgPzIBwDsT2/n06tcSeQDQdfHT+HiA/CLwQtoXP7MA4Qq8hIu3sErYdFifGuSyyFG+\nqq6CFTD6iy7CYzWSq8ooBN8sJjhqN/N0bgFPHF5IZHWORMChpgySgepMn84FxRCazkSecroRJ6bR\nBliWS2pbEKOmSe6XBG6b4DPL78IQwZkers854gsfH595Ri0pUGEPFDSEKjjKOPtGp/C9UjdYinyv\nReGKKmQDYGhuWHTgxKwv40QoqirdZow1q49wbOsiwum6yolMKHKL5XQ8yNyZJV6qqIhiUf8YI9kE\nRx5YyJ7uLlq6s0wMNRAcMwkU4OA7gyyLjvO3x2/lcL6RkOnieAbLu0dpCRVn+hReURJWFTulMKoS\nhcbcHMcqewitccOC9nCZxXM4aF/ju7p8fHwucZQFSweOI+MOzx5rY/CxbobcxDlvb6BY1DNBfrkL\neQujJjAaawSNuovDUQbf3b+KMa/+/sO936PWdIrA0eClXLqXjqONufvAuBQQHuiA4vCzHUR/EKdp\np/Ug1hwAACAASURBVEf3jyTyK01YGYNal1235lUFhyaaMKXHsoZxFsbTLElNXPKiB6iXb1gyiZvw\nCOQlqQMeQmmK7QbFfo87Fn9jzgc1z7deXXNnpD4+PheE5BGPsbsXoComve1pfu22h7j8ZdRdWRIY\n4/CuTmTUYf3lBwguztPfPkHFq8cGWdJjRcfYCTEVFS7VxpMCxwsIRNlg6FgTsubfgmYSZUGksUxq\npySUqVvklAmZZQI3rli39AjyVRniByXOcJQnBhfOm5ovFc8iZ4ewpEd/cgoZczAqoExBZrHJonft\n55HbPkarMfdaVMx3/LuOj888oxaXZC93CDVUWd0wzH9OPUnyHEvtP1yFd37tA8QPSQIhlzWJ42zq\nOkJHJH/aepOVKH939PVMeiXaDEXH5aMUug2ciKDQI4kvyIHUfmbXLMDbmSQ6djLYqtoocXprvOOa\nx/jUgnsplUJYJY20BXY6RNW79NuKeFpQdIJcljzOxsQhnnpwOablYRWh1CHpu+0Qd/ffT4cZm+mh\nnjcagdIXZpkr+DE+Pj7zDCcuwBGs7hhm82QPT8V76LfOrcVAAA+33SawqsCCeJ6D5ZYXXa83nuFw\nvpENP/4And1pJnMxnGUei9ccZNtQN14mArWXF1vkc34ID1RgulWIN/2QMjVurN5vSguBExGUX1vk\n42vv4eZwmoiMsbhjnCmjFzQIpy4IoqY9g2fyyvPooX4i0Sr/pfMRPnfsWlo3K8ZElNyAItxdoOQE\n+EnZ4lWhEhF59oSA2c5cclNdCObX2fr4+IACGXfYNdaOpyQbQkPntFlNO/zJ/rehHcnaluO0hQpn\nXN/1DMxJi6kn2zBNjzdu3EJ3JEtnU47lC0cuxJn4nAsCdOO0UEm4xHrzqKACAbIsSe0WaCFQliD7\n5hIPbPw0t0eLJx7o6xsHmbqsLpiCHWUC0nupI10yhCM1vCca+Kt//c+M3b2A4WsF0ZUZjIqgVg3Q\nFc3yl/vezIfHrp7pofr8EvgWHx+feUZsxEM/GSa/XvCri7fSZpzbbaCgbBwlCaWqjFQSZwxsDRou\nfakpchvK5Gohxg838d3cZSQaS1SqFk66BWn7866LggJdNbjl+q2k7QhSaI5FKhzf1gEazFo9O2ns\nFpv7Nn76NPfNLrvCXZs3IkzNq67fxVQtSkOwPIMnc3HoSWU5Sor8UrdewTruckXbMR57qhF3MMTB\npmYaw2WOFJtmeqjnjQaUn9Xl4+NzqZNb4WKMBPnFZD+OPrdiOn86fDOjIw1ct+DAOWXzBKRHZzTH\nh5b8iNCogTVqUTySxBuJ1IOa/fCeVxyhAAlmzmTSjrIqPsz65BH6E5OkVkyhLI1nCaZWCx6+4f+n\n36q3Ixn3Sjxchb8YfBM4ErOpAnDJNR99KUYLcaotClmVJ1p3PHZsIdHjmsiwYGxnK89u7+VotmGG\nR3ohEHgXaDnrkYToEUI8KITYLYTYJYT4wEU4wRfgW3x8fOYhDc8Y1BoEQcMlJs9eeG2PXeb+Hcux\nYjZjlcQ5zfrLrsW72rfw9fENxI9qil0CL+yrnYuJF1a0902RKUTYNd7Obc3bicsKKiZ5dKgPlXBR\nlkXqWfjw8VvpDWf46cgAk5l43RLgSlYvH8RV82uOXCyFkI44ERMlLYX5WIJQ1iOYBy9koDfl+MSq\nr8/wSOccLvDftdZbhBBxYLMQ4j6t9e6LOQhf+Pj4zEPCk4rcgCAgXbbaiiuDZw40/uvjbyAwZtHY\nlSERqJzTMcbLcb4xsZ4dox3ElcaoCYSCeWZVn1GkLanaFvZYhNh2yT889HasosZOCsJlTW2lIr3O\npa0nQ9aOYCuTpnCZtkiRkOkAEDacGT6Li8/i9gn2qTYYD6INjaoaJxq1IqYDxTXTZSDOLSNytnIx\nXV1a6xFgZPp1QQixB+gCfOHj4+PzyqKlQCVdqp5FXDjAS6col5XNrol2oqvTLGsYP+djxAI1do23\nE7RcxLsmcJ5o891bFxFtaGRzDfvxRjr3eQilCE/VW5ZoA3JLNFpqErstJkrNTLTE2dR/eF4UJTwb\nbeECI7EEhZEgaEF8ZwCz6qENKHQZ1DYW+dRlXz/nMhCznXNxU50jzUKIp095/1mt9WdfbEUhxELg\ncuCJC3Xwc8UXPj4+8xDD0SR2BDjWmOSQ28jyM/RY+nh6DcViiMbUucV3FJwgA7Fx3ti4nQ9ufhfF\nqEe4tYwTrfc68rk4SEegx0PEh9RpPdHSK8ELe7z1VU8yacd4ZvsqhAKvaFF0giQCFQzhK9RI0Kao\nBMKFyFg9Cy63yEBeneEHl39uuredz/OY1FqvP9tKQogY8E3g/9Na58+2/oXGNzr7+MxHNMgamFLx\n4+zql1xt3Cvxf7dcg6oZLEimz2nXk5UYE3acP938Fhr2gFkwqA3F/PYUM0BoXGKVT37v5VaJCmqu\nXv8sv9f0c97StBmAQEYia5I9o23Yan7OhyWaimfx9EgPx0opWsIlvLYagbxAC0gvNeh/w0H+Y+3n\nLynRo7VAaXlBlnNBCGFRFz13aa2/9Yqe3EswP//DfXx8iI57jO9s5FAiz6BbpPdFqtBmFWhPEG8q\nEbdqZ9yfRHOo0MTVLYfYV2wlFLbJrAxzoqDr3CnsOrfQ9ewtbUz/FNRr9DgC6XDCvagsQXqDwwev\n/iHvSx0HYmy3JXZcoM36dlqJeiDzPLPMOcogXYuwOD7B+y+7Hw/Jb/zoPciEg1mG7IDknbf/jD9u\n2kZERmZ6uBeci9WkVAghgM8De7TWH78oB30RfOHj4zNPea6Sb0C6Lxrh42nFlmo3yxcN03iWLC5H\nGVjSw/EM7jlwGeyKU+2xkdMPYZ9XBm1qdMx9QRVsWZEIF8LjddWjTBh+vcMPXv0plgdOPrgXmlOU\nL6vAVBCjKmhvzBO5xKsyvxh7plrJ72qi8boy/zZ2A489tJLUoKDWZJIfcEl15Xm22MZtE2/jjxf+\nmFsiZ54E+Lwk1wC/DuwQQmyb/uzDWusfXMxB+MLHx2euIjgZLHzq65dBw27B1sYF7O5K0mGeXpF3\nxCvzp4+8h+V9w1gvUa3XmzaTH843siCe4fjxRoysiQxpZN70Rc8rjJWX6BaHa5bvw9MCQ2iGS0kO\nbu3GaVAoU+KGBZnbS9y/8dOnuWgc7fHR47eiihYbN+wjWwtTsIPzMr6nL5VmS2eMx55cRtM2QaBD\nUOzViAVlUo9EKeUa2NJvsapjhD/e8VYil32F6+Z2Q/YTaEBdpAtVa/0LZsFdwY/x8fGZY7hhwdgG\nybFbPSqNkrGNkmO3uZRbJOVWSaH73P0UwZwisj/AX+5/M2V1+kz/mBsGBYkzBD4XnSCP7F3M6ESS\nx59eiqgaeGGFF5x/D8+Ljq67p9yqhaMMhooN5OwQndEcXspFhzxUAMZeZ/Pwps+cED2eVvykbPF7\nx65j+4MDyKqk6lp0RPL0Jc4tjutSo2CH6GjNIquC3GKoNSvcFoc/uux+ij0aZUItFyJu1YiFavz7\n2HUzPeQLiMDT8oIscwXf4uPjM8tRJkyukQTyguRhj9GbHP7+mrv52923kn1NiC9u+jz/Pn49j8cW\n8utLn+Su/es5PhojMmiQPKyQzkuLEKHAfAld853c5YSSNeRLmJL2ZVsYSE1w86pdPHx0MU6LRo+F\nEDM/oZsXqJDi8g2HOF5Mcl3DPpa1D5OSVbZUe3k03oczGSa/CG5ZsZtRz+DxaoSdlR625bt5ZriT\nWjZEYnWWSNA+4d56KcvefGD4SDOkPGSlXlVcFkw+ve864ofr18jkDYqfbVsOwD8u/Qa+3WDu4gsf\nH59ZjJZQajewu2zsNoFZsnjf+gcAKJVCeAWLT4++hpFygmohyL1Da5BSs2LlIHtqCyivsAkeDhEZ\n1oTTCvEiz7XoiGJkXwt7lsK66SLOnlY8OLqEtmSBoOGetn7NMzmcb8QQmoeeXYK2DURNIhxf8Fws\ntAQkjJYSpJ9u5R8yN6NciUgHQEMwLXEWV4l3l9ky0c3/qtxG2Q3QE80CsKZzGLddErNq89K19Xxa\nwkUOJ2uo4fCJApuyJpA/aSA67oGG6O4gxT6Xd1/9CJcHXGDud2WH5woYzq9r1xc+Pj6zGDckiL5h\nlKubhpFofjJ5BZ/ftYm13ccZ6Bzj4KMLeOSZAYQtMGxBOtOEcAS7UjEIK+RUAGVpyjcVKe6NkTwA\nwfzpvbmMmgYJJX3yRj7ilZlIJ7i2/8Bp61Y8iz0TbRTyYczjQURI+/adGSDQUcKxTbw7W2mtKNga\nBA35hZJag6bSZ7NywQiHftpHrt2j0mVxRfsxXC2JzsPg5bPhaok4FEGYoAP168FNeoSyJ3vKhSY0\n1qty/H7jk0RkdGYHfIHx5pn1an6drY/PHMOOCz7Y/yP+seNhsk6Y2Ko0xp4YTz3Tz95dPXhBXc/g\n8QTaqFsC1PRnslq/vN2oppoO4SyoMXGDzcjV8gWFBJs2S/5k79uY9OpFCv/n8C2Ewjbe9EzQ04Ij\nhUa2D3eRH4tBJoAX8i0FM4IA1zFJPB7GrEz/DTQ4EUFhkYfTV2XDwGESVpXGPR5WVlIYTDBWic/s\nuGcxAeni9lZP1JoSHiR3mye+X2UJyu0CITQl5f/fz3V84ePjM5sQ4AUFdqx+aeYXa1YHxvleuYWU\nVUFrgRvVyGnX0lkrIU9ne8mygZgKIEomXoPDyNWCasPJyz+UUzjfbuH3jr6JjFdmx1QHXckchtDU\nPBNbmQxt70BuiSNLxmmVgH0uPsGQjVE9/QHshgU67LGyd4S3tz6FnHZhSVsgXMGBsWYcNc8K9Jwj\nhtAs7xlFWYCuN3d9LjZOWYLJNYLgpim+vPoO+i6h4oUAGoHSF2aZK/iuLh+f2YKAYodBYZHCa3CI\n7wwQnIJ7Cmt4YHIpCatKdiSBCOpfWngIRyAcE21p8n0CoSTBvEIojVXUDP3rEn71t99O1TFpa6xX\nkn96qAcAbUK1Rc2CZNR5jgK1I0mgcPKfoJaQZJdp7rnxX2gzHDrMGP94sIlai6TaayPzJuaOGMca\nU/QlpmZw8LOH50oxSKFQWtIYLBHqKlKZiCCrkvCURlmC4Vcr3veqB3lXcivdL1Lk81JAzTMbiC98\nfHxmCW5QUHt1HmoWlE0Kq2uYEwH+ecsNaFdCVSJt+UvV63k+whF4Ec3UWogdNYiMKQIlRXqZycTW\nLqwFJSyhOJhvxh0PI7xpteOLnouDBqHBa3AJRG3ckQjC45TAWzBsjdAaLQRTazXvv/lHrA0GgSCe\nVtiugZ0UyIKJURNU+mwilh/f8xxj5QSjhTi3LdzJ0+lecrUQvY0Zni0Eie8xyQxA63XDPLD0y9NW\nnktT9MxHfOHj4zNLUKbAMj3CQZvG9grJQIVDTU3kDjQQKApqbS5a1B+I542Ybm2goLBQ4UQlyYPQ\nusUm+wcFVrWM8PMji3DKAaQnThdb0+0QlKlPvD+tkKLPeSMdgZvw6OmaojVSINMUIV2KkDuaRHgC\nb7p4nhOWZJYLPvumz3Jj+GTKniEkr+/Zw1dWbKCjNcvYjjYiDRXawoUZOqPZRaYWYSiT4vV9u/lI\ny3ZqzZvZ+NRvMjrSALZEmbDwxiP89cJ7LznX1vPRmhOxfPMFX/j4+MwGBBS7BeXROJctP8rlqSHe\nmNjG23b/Pu3LJ0gGqxzY2sPLrhE2LUqEqgc966DCyNeLDCLAKEmEBrtBkeuXGI6BEJq96Ta8kQjC\n1OgmGzkRwMpLlKmxWzyMmoF06w9nAKNYb35ZP5a4IFap+YwXVhgJh02thzlcaqIjkmdRfIqngdxQ\nkmCm3ptr4rYqP77mn1loRjg1ZPM7pQhf/+GrIK64etVhnr2yXO/B5QPAWDlGJR2mYaDMP6aX8pnH\nbyB81CJmg2dBYYXNoYkm/rD2DgRw78ov0WxcWplcpzKX4nMuBL7w8fGZBSgDygM1hIC/XXAvKwNh\ncsrDStaQQhMyXLy4h5E3zh7QrKctBkkPEXbpbs8wnotRy4a4YfVeDuebiFg2SguePdiJEXWQUsEC\nxXBHFJGLEtoVpmGiXhrYjYYwS5pQzkMZAjdsYFY1blDghQxqDYJKqyLQVsYwFEpJaiMRhCt8C9Av\ngwAdVDAc4uvFDdx8+U6ujB/mP4Y3kAxXqbRaBLbEOH6T4oFr/vmERSKnKhx2JNtqPfzVE28ksjTP\niqZJJu0YTcHSDJ/U7GJBIkOt3eTrhy7H3t5A235FeoWGtQXsmkXq0TDZtYJ4c5rWcIEbN/8Of7ni\n+7w1lp/poftcAHzh4+MzC5AuxHcEGXjLPhZb9csyIgKs7xmi7AaImDZGwZj2T51uTtESMDTa1Miy\nRLRXCQQdvFKQm5btwRKKStKi1BWg5pmnBbe2riqgtMRWBqZQPHl4GZ5pUm1RNO9QlNoMQmmFVaof\n0/A0hj39uqYhD5FxSB4ENxxj6jKNbq0R7SlQGkyAof3Chi8DLSG2IMc7Fm3hCz98DVayxpsat+Jo\nkze07+AL+zdRS4eJTBeavLtwGfceu4yI5eAqydHhJoShMSzFmrZhzHlciflMhA2HzkSe3Tt7ockj\nbUncuGKgeYqEVWXn5uWIqmQok6I5VCJgehy1m4FLT/jUs7rmlzXQFz4+PrME6cLeiTaO9dbotyws\nYdAVzrIn344UGtlZwRsNA/UHpLZUvVaPoQm2lbFrJu0Lc3TFctieSayjhq1MngtnDRvOaccrOEFG\nSgmm8lFWdYzw9MPL6HzC49iNktdcs4P7U8uJ7zSxr8tSOpykYacgMuWhxQuFjHQhUFB0PALZRWFC\nN5ToWTOI0oJ9O7tPBkf7nBEdVBTSUX4SWU7iIHAoyp898lsYNU2tUaAlmClNbokm3FThsfQiFsQz\nJ1LXu5bkAJBC+RWZz0DBCXI8l6xbJTV4YY2sCQ6MN6OUoHXQwwsa1GpxtokuHMfgivCRmR72K4Y3\nh0yzQohPcQZnutb6D8+2D1/4+PjMEqIjHsPjUR6pLKTfmgTgqthBDpeaKLsWTj6ApN6jKThhYDcI\ndECjA4qA5bKkdYKYWSNouC9ZndfTAksoaspkY8NhlrSPIVH8yda3EhuEcrOB8DS7M20kGkvkByQ/\nWPt5mtZpvnbzCj7x4C0Epgwa9irM6ovcezSkDnrYY01kfs3D9Qx0zEO7Alnya8icjVRHnlw2Qu2O\ndiJVVb+9C0gvNag1agJ9BTriJUa3tFMbjLHTMbiidwhTeL7QeRkEpEd2KobhcsJ1rEKaWjpMy2MG\nwlPEBxXlBYrqwQSqtca4FwdyMzpuHwCenv55DbAC+Nr0+/8E7D6XHcwv+5aPzyxGutD2c8n/fOR2\nRtwinlZcERwmbtUoOCECkybSFiT2miQPgA57ICDaXKY5ViIVKL+gr9apeFowXokzWGrgVan9/G5q\nF7dHiyy00tRKAQIFTW4AtKGZyMRZ2TJKvL3AA+WltBpR3t9wlGdu/yRvv/0hxjZpKs0vffsIFBX2\nPa1MHksRTVUwYs5LrutTR5saxzMI7QvVKwZP6xhlgJ3UeEmXjd1H+ZXurYTHBMG0RB0P8+TmJZTd\nS6Nv1MWi7AaQebMeiD+NNjSRQfNESxfD1kSOmsQHMnzruk/zluil2bn+uV5dc6WAodb6i1rrLwJr\ngBu01p/SWn8KuBFYey778IWPj88swiprUlsCXHPvf+fz+W56zQivb3yGuFXF6bIRCmLDHtavjfHo\nzf/E2tWH6G3I0BvLnHHG7yiDI/kmAobHX/R9l/+aHCImQxRVlbc++j7a7rewyppAViA8gesYSKFZ\n0zrCZ569lp9W6tPimAzxkZZdfPdN/8Si39hHZqlBpenFbyPKErztyqdY3DSJ9l1dZ0VWJZVSgFD6\n+TFcAhXQBJI1VseOc3Vkf319p15U0ipI9k21zLuU5PMhZtVoWjKFm5yeKGiIDJmkDpwsCukFBOXF\nNrlshKo2scSlarGsx/hciOUi0wAkTnkfm/7srPjCx8dnlhEb9uj4OXzyztt5w7O3kXZjHCuk0BqS\n+8D4nXFu7dzFl/OXETEdmkPFM+6v4lk8OdiLpwV/0PVTrgvV67wAfK2wkNC2CFZZY8ck5R4XNOiK\nga0MLOnR3zjF50avZ9w7mRm0MhDmS30/YuPtzyBun3pR609k3OOePWvpjOSQw6F6PIVPveq24ERf\nqJO/0KiSdZrwKbdKRq/VfOH2z/CzTf/K+xv2k/UiCAXVZo02NE5M47qX6kP5lcGSHlXHJDBZj/aQ\nriB6XGPU6sJHSyj0ShJNJd57xc9ZHvALP85C/g7YKoS4QwjxRWAL8NFz2dAXPj4+sxDpQuNej8Kn\nu/mnb7yZwhMtUDOYvMahOVzkvrFlbM/3YMmXju0whWKknKDsBrhm4WG+tuJObo6cdDl5WvHx3TeS\nOlDP/NESsHS9QGHF4Kn9C/G0oCFYpupavH3vr/F49WSWUFBYfL73F/yvZd8hc331BeKn0iTxbMnP\nji7GiyoCWV/4aDndB6q1yprLjpyI4QFQAY1Rkkiv/vcst0jS612+cuu/cl0IOswYljBIGWVKV5Vp\nXz2GlZfohENr4szi1+eFtMRK2A1eXehLXU8YkAKhNZUmiV6X5z0Dv+CPGveSlOGZHu4rikJckOVi\norX+ArARuAf4JrBp2gV2VvzgZh+fWYYy68LHjkncMATyUOpShEZNvKBmW6AHaWhGrAQdDXnCp1h9\nbFW/pDPVCEcmG/Fcgz9f931+PT6KIU6vQPtITVI7lADqs9xqs4DnrBAapKmwlUnYcEgEKqSrEf7h\n2C18a/F9p+3nlnCZj238Bn8WfjOVzUniRxVWWZNZ5/Ll6z/HXx+5DRozHCz2vrJf3GxHg4549PRO\n0hgq0xIqsvyKoxxJN1I+FsOoShp2gfDqPaIqbYI/f9V3uSp00prj6frfaknHOBHTprAySBDoT0zi\nzLOU5JdLyQ1Q9SzGSzEaw2VawkWyPVly+xoxy4JAUeFEBVOrJIs2DPGRvm9Pf/eXtjVtjlduvhK4\ndvq1Br57Lhv5wsfHZzYgoNIgKXcIKt0uwTETL6Tr1ZaFJtJToDQeJbnbxC6F0CY4Uc3gsSgq7vHu\nKx/lobElDI010NhQIrO3EdlV4dr+A7wzfhxDWKcdrqiq/MEz/4WmZzgRROsFQBRO3hIMUxE3a7ha\nYghNdyyLQnBHvpV3xo8TnN6nISS3R4s8O/AkXw9cTt5opnGPx+qBIY44LSQC1fp6i4qo4ei8reos\nNEQPWnSvyFJ0g2TsMI3BEom2Ko9NLcYDqk0GhiMYvdHlk9d9hTdFy6ftY0pVeMf3/ojIMQN7bYlV\nXcNUPQuF8LO6zoCjDKqexU3Ne0i2lfjW2DriZo2eRI6cbiR+pG6hNG+b5Dsrv8jyQIRLXfCcylys\n4yOE+DtgA3DX9Ed/KITYpLX+8Nm29YWPj89MIqCakkxudAk3lXBdCZkQbkxNm941K9YM4ipJR+cg\nE8tiTH12Qb2uS1KS7xN4bS7fPLiW6qE4OqBRqRKvvnYHH2r/Mf1WDLBecNhHq3HKB5PEa88LpLUU\nola/CVoBl6lahOS0cAkaLp4W/MfwBh6L9fOvXY+ciBUCWBoaYWljN4/3x5k0g7yzZRd7Kp0EpMfj\nh/tgJDifniWnoaIeIuhR7VBsPtZDLFLlw0t/xIQb52C1laX9w+zb0w3A6Ks9nrj5k7QaUWraoapd\nttthtlQWcvfQFchGm0oDLO8YJxmokqQ6w2c3u6l4Fk/sWExDZ473LT5ETTsMBMb4rS2/QSUXgpSL\nGwlQ2FThvlVfoNeMzPSQfc6NW4G1WtfNoNNxPlsBX/j4+MxmJtZKWFaEfJDqaBThCqSeLlBo1Htr\nmUJR8gKU3ABf6v8mV77x92i9J0goowgUYJIQsXUFXvvqZ9k21c2/DHyVlYEwZ+om/XBxGcIRSGc6\ni0WAndKntZiwDyY4GnBY0zJy4jNDaHK1EI/m+vibYI73NDxJqxFhn1Ol0YCbm3axbaQLrYLccWgT\nLdEinpJ4BQs59yaVF4x4a5F17cfqD+Gd/fzFFd9idWCUKSvIosA433zkSoQrKF1e4SMbvssXsmtZ\nGhrhu1NrOVRo4shQC6F4Dc+VDHSOkQpUzli6wOckrpIYJUnmWJI/71nH1x+/kvh+k2hGE4gJ7ATk\nr6rw2iV7+eDQm2kP5flvLQ/Sa0ZOE/aXKvXKzXPW1ZUCnqszkDzXjXzh4+MzEwjILzCoddsMNGU4\nONh9eg8uDZHuIld0DGEIja0MesIZGowI39j0b7yl9AcYWZPEQbC7HN7au5U/atiP0fE0cPZATEMo\nzMopNUwkeFF1WoVlL6qIBl5Yf2dJaoLxSpwfDS/nzh0bSSbKlLc2ER4DN1Y36hhVKGxpYrI5hazK\nehbFnL23nh86oKnVLJ4a7sV8MElTWfMXB96NFwJrugNCOALVNoUqWXzi2dfSlcyx3epGIVgYT5Ps\nrxI4Q2FKn5cmZLg0L59kbDjFPT/cROqYoLhQU1ygCXUVqGRDxLaF+UlhNT2LJlBa8NHR1/GbLT/n\nmtBMj/7icLEDky8Q/5t6VteD1O8u1wEfOpcNL3056+MzCym1Sa54+w4CUZsD27tf0HhU2oJSJkzV\nq7uplBY40yutDQbZ8fpP8cW3/gs3vfcxPnHtf/D2xPZznp1OeiW2ZnuIDT6/Xszz+mq5glig9oLt\nDaHpiOR5dft+UskS2aEU0oVSbz21urjUZtU7duNGNE1bDYIZiTbnb/yJDnuEgg7i0STx4x7htCJ1\nwKNpl4dR01SbNc6aEirm0rDNIDeYpOaZKMSJNiMNwbIven5JDmSbeW3ns4iqgegvkV3j4sY8dNzl\nNQv284FN96MNMMqS4R1tFJ0gNWXw90O3UlS+G3G2orX+KnAV8C1OZnV97cxb1fGFj4/PDKANwcbE\nIVZ2jKCtFzYddVscli8aJnRKf63RauJEVk9MhrgmJPn7tm3cHi3Sa760W+v5RIRFwpq+oU/r7gCW\nxgAAIABJREFUHC3ATNknBcr0D3mGgNmRWpI1LSN09k/gRDXK1Dh9VZb2jfDu1kf41RsfxSxrYkMa\nWZOo6PxsmBlNVSgMJUgc9U4L7K4mJZm1HsbyAmt7jvGJ6/8DbQrMguTgzi6ePLCQieq5/119Xpof\nDi1HViTu8QiyIpE1iRH0KHkBnsz2ER3RyGnRX3Utdox3snPnArLq0ncnzrXKzc9DApNAFhgQQlx3\nLhv5ri4fn4uM0PV2BH//yK0YUQejLFHWyfga4YEMeTSHiicyddKVCAU7SFHXSIrzqykSkQFWxEZ4\nZMMALU8YBIqqXrdEC7Sp63FGjsAzNL3RDBXvhcHRp9IdzxLdYJOphumM5VEIvjyxiY93/5CvXnMV\n3fcJ2p4SDN8IKqyQlfk13yplw8SPGEj3FOEnQFkgXMHCpjQbUkfwtETaGqsg6k0zx4KwYObGfamw\nMJlm+3BX/c0pz2at4WfbltOwzSBaVAhHEl6aZ3CkEV0yaV80SYsRnJlBX2TmaFbX3wNvB3bxXE2O\nuo57+Gzbzr2z9fGZw2gJmcUmhYWa4LCFVzGJL0+fsPqokCKQl0Sip5vY22MFYpaNdYHSohYEJ0l0\nFpi6qUp+gUGlTSCERlYlgZxEG5qGRWnyztmDHMKGQ2c0x8qmURqCZVwlydthmo0or123CzsmkY4m\nMGkSaSmddX+XHLbELJ1uOXPCgvQ6l/9z81f5WN/d/FHDfg7ZLRg1MKugLY2Wmt27es8qPH3OjNKC\n5W2jqPDJdhQIaGooktppEh2rN4NN7YPiVATyFsHmCrd3P3OiZIPPrOR2YKnW+g1a69umlzedy4a+\nxcfH5yKiJZS7FO3Lx3ltx7PsyHUSMR0ezUQhHcDKGdgpxdXtQycCDjO1CDXX5KrmwwTFhblkrwod\nBWDdwkF2hjqwB2PoySBWUVBr9Lj+yt2MVeJY8uW7p47nksRDNTytuCa5n0cWXEYgZ+AkPbRtomIe\nsniJ5LXrulgVWtRbUJgKI2OdFtMkXEEoe/K9HZOMv9rh09d9iZvCFQxRT59uM3PYCUHxigq6aOFF\nNCLqYnvGiVgfn5ePKRRP7evjVK+ttjSTU3E6xk+KoUBJEd8dwL6qwL+s+wo3hueJa3bm3FTnyyHq\ntTpeGIh4Fnzh4+NzEZEuWHlJMljlw83byDU+yV+Nvoa+rkkOFzswMpK+DUNUPIug4TJcSlJyAoxv\naaPp+hJGy4Ux0vZbMT532Z08WFxB2Q2Qj5ewPYPueJaNDYfZW+ygLVz4pfYdD9UYHk/x30Y20hXM\nUumvYQcUH11/L/dlVvLAnqVcEgV9BKiUg7QULY0FFibTVF2L/ZPNuHsTuGF9oieXnNYtyoSJjYov\n3/BZrglJTjW6rw0dw3tNFpWOIOx6K4qmpiIhP239vDClx0DfKPv2d57oF6elJrwvhHROihsnLLCK\nGkfAQbuNG8PDMzXki4pmbmV1CSE+RX3YZWCbEOKnnCJ+tNZ/eLZ9+MLHx+ciE56APc92M9Zfo9eM\n8e7mX/DR8huxmiuIkRhNoRJT1Sj7j7dC3kIHFKK7xl93f5cz1eZ5uawLGFzWuJvXx3fwtsfeizcS\nJt9bd21VPYtUoPJLWXy641kSwSrfffpyzJyBDGralo1z5/AmhrIpRP7ScB9oS2ONBVi26TAR0yZs\nOIQNh9XtIzwxEcUoSrQBib0mQtW/x8xSgz+78VvTouckNe3wvfxllIbiNPZleO/Vv+Abw+toCRX9\nej3niSE0mWoYM2/UY+k0BCcMkgdPWnu0hOyAxOmvcNe6O1gXhEtCnF+aPD39czPwnef97pzSR33h\n4+NzkYkd91CGyXsG3s6NrXt5XWwXt7TsZPueBRhJzWM7FyPLBtIVBNMCoQxi12fwLvCszBASA8l3\n8quJPRyh/OoilYkII7EEA6mJX3q/AenSEc6zP2HjBg1wJIX72knHwU7OpbnlS/NcZ3WnyaXkBBgp\nJFjaOE5bMM+Q28Cm1ft5eqgHdyyCVaz33hq5TvOhG+/lt5Ojp+2rrGzeN/Rafr59GdIVhCyXJ3KL\n6I5mZ+LULkl6ExlqAyal/SmEBrMkMKsnO7GnVxiopUXesHgPG4JiXhQuPJW55Op6rhGpEOIDWutP\nnvo7IcQHzmUfvvDx8ZkBEoMehc/08NXGXu6Mvw40tExo0ms0qWcsao2QOKwwaor0coP3LXqYBWbg\ngo8jpyp84YEbaJ/SZNJhZEUyuqeVniuzv3RciSE0CsGrFh2k4AT5nY6f84Gx3yI2BHaqnrU2B5NI\nTqAtjY669HSm6U9O8sjhRazvHeQjXd8jKQVfza9gzElQ7TTZmunDcAxGr4L7bvsY3WYQR0uKqsYO\nJ8KQ08SXjl/F/md6iC/MUatZxCx7TrkeZhOeFrjKwFYGhzJNtMcLeErSFsljGh7CA7MqSB2oW+C8\noGDiCsGfveluXhc5RIcZY77l/DyXzj4H+Q3gk8/77Ddf5LMX4AsfH58ZQjqa6JiGcSh0G+QGQLfV\nyLfCZ6++kx/l1hCULq+O7+aGkPOCRqMXgjFPIasC0IiaRCjwGi9cQG1/bJJVgSnsbpvQMyaBrIGd\nVGffcDYTdzBMzS0du/n+8Er0UIRjjSmG3ASbvThB6WAJj607+xBakO8T3HD1DvY6zdy+5VeIBm26\n41m2HO6lqbFIOhMl1FNgUUOaRKAy02c3p3GVweNbBzCbqvzemofotDI42mRbqZfxaJxMe5z44wGE\nhmKHQeRNo9wxcPe069GvmTQXEEK8E/g1oE8IcaqrK87J9hVnxBc+Pj4ziJZQS0iKvQptQjJRpjuZ\nY9RN8X/at56y5iszC91S7UZ1V5l0QkR7c1QOJQhEbfZNtrKhc/C89l3zTLJOmJAQtLdnKbe1IRxQ\nQYW05Zzs0q7NesCySge4Z/AyvO830ZLW5Ic6eH/ofQQz9ZNyI4JIDCoDNaqdiqdGe8jYYdZ3DJ3Y\n1/UD++svmmfiTC5N8k4IHVB8+ap/58qghacVm22P1cHj/HnhdgIRG6MWYHKVwfLX7udr/T/CEn4s\nzxyz+DwKjFC/cj52yucF4Jlz2YEvfHx8ZghlwuQaiReqCyAV9rixex9jtTh3HtvEhsVfY8CKvqJj\n2BAa4j2X/YJd/R08/rOVRJdnWd06gq0uzMPggQNLuT3dwUQmjlpf48ble3nocD/uRPhEhs1cQgcV\nsXgVb18I89FGQrV6DZj4sbrrpJaQlNsFlXaFUHD1wEG2fXsFxVqCg8CVHYO4c9nPN8s5km7EKBjs\nqPbwYDHOF/ZcRfDRONVmjVGtNwCe3OjS3J3lmaFuPpJYy283PDZvGpK+GHOtSanW+ihwFNgkhFgA\nLNFa3y+ECFNvVHjWdNT5+Zf28ZkFZJYa2E1ePVBWgLAlz2S6MISmLZLnjvSmEy0qXin6rRgfbNpP\nW7BAICsoHklyJN94QfpChQ2HeKzC2DNtoAUNTQUe2DeA8ozTmqHOJVq6shTHozTt9jCr+nSrlYDJ\ndYpyr4dsq7L48iHWJ49gFcHKSQpHk+zOtDFYbJix8V/qDDSP4zW4/O39b+auO24i9Z0oRlXjhTXu\nyhKGDfH9JkJoru/fz75iKx848ja+VGjH0fOkbs8lghDivwJ3A/82/VE3cO+5bOsLHx+fGcANCWpL\nnxfPISBo1lOXDaG5e+/lfDKz+BUfS8Yr862HN6JlPXB3ZCKJKc5fcCkEixsn6V8/yLKuUeyHmjEH\nQ+jx4OxycwnOrXO8gGwhTPSQ9aLjd8ICkg4yZdPdkuE/dWzmhsizOHEwKwKkZnRPK0fHmghIP0X9\nQlPxLN7QsoNwoorZUqG4usbEesgNaLyIoqs5S+2KEtKGycONbB3vwhSKhFXlb7bcyudzvTN9CjOG\nQlyQ5SLz+8A1QB5Aa70faD2XDc9L+AghGoUQ9wkh9k//fMmpjBDCEEJsFUJ873yO6eNzKZDvkyST\n5brl47lGoaam5p70Phum4ifjy1/xDtFb7DiBrKTaojCbKmhPIi+A8AEISI9lyTF+t/tBpAuREYGY\n4Ym1UNQLC57SHNZoLxPI1YO7XwoV8VjQkiEy9kLVow0o9kgQ0NKYpyVc5IbIAQCkDYkjCrNYv916\nOYsD+ZYLek4+MFaOc196Bc7BON5IBHJ1gaoNaO7J8rauLdy8eC9WUSMcQe5AA08eWYglPQY6xvnS\n4Mb5afXRc7ZJaU1rfcI0LYQwOccp1flafD4E/FRrvQT46fT7l+IDwJ7zPJ6PzyVBtUVxdceR+hU4\nfakKR5CuRHCm42ssy2Ukn3jF+wU9XFyGWl5EpVwCAY8bl++9YP2hsnaY/tAEcVnFToIbBhWcWXOP\nF/OguTadzQYtA5MsbpvEW1pCSwhkX/y2KIIeBw63Ecy/UB2V2g1Ki22u6j/MV1Z8ka/23Ue/FeOZ\nWhdGFTyr3ngUwCwYlOwLX5pgvtMUKvHkliV4sXrc1XMi1qgJcjub2Fbo5Qe7VhEoKoxKvSGvygTI\n2SEOjvsR5nOQh4QQHwbCQoibgG8A3z2XDc9X+LwZ+OL06y9Sbxr2AoQQ3cAbgH8/z+P5+FwSxA9J\nfrB7JTqgUFEP4QqsvGRj21HStQiPDS6kVAzhKUlZn3+8zZl4f+OTfOnKz7O8b5ha1SJjn1/391PJ\nVMN84qe38N7Nv44b0fTceoR4T/7cXEuvFAFF8hchhCewukpc2XqUxmCZFZ2jJBZlcZaW0QH9grmj\nNDXRA4EXfF5ql2TXOPzNtffwhYU/oc+KnQiUbTULZDfUmLxCI1pqaEPjplxMOcdT+mchSgt0QGGU\n5Gn/X8rSuJ01fvrkKpoeCiBdCKYF0Z4CgdYy+yZbcUciXN16eF5meD1Xx2cOWnw+BEwAO4D3Aj8A\n/vxcNjzfrK42rfXI9OtRoO0l1vsn4E+o59n7+Mx7igsUwYjDhoEDjFfiPHugEzlp8ky6k4pjoffF\nSB6D/JIghfUeyVcwGq/ZiLLdNjj80EK8Ro9tdLOqa4SGYPm8992XSDPamKQ6FSY2ISg7ASqVF4qH\nVwoV8bCSNZyKhRAgshahI0G8EPztW+5i2GlgR6EbS3o0BMs0tJUpuQEGUw1M7mo5rdmoFXCxnpcv\nUmmUZNY5/ON1X+etsTz1nokn2RTK8vpVu3hseCHZiRhYmpbuLM3hedil/hUmZLiIkIerBLJ6ygXT\nXKO7NUvt/nYChbrgTB72mIqkEAKC6ycpJR1uSuycoZHPPHMpq+s5tNYK+Nz08rI4q/ARQtwPtL/I\nr/7seYPQQoj/x96bh8lx1ffen1NbV+/L7PtIo8XaLMmSF5DXYGNjg9l5w/uSmO0lhIQlL+QSnmz3\nPgnkAuEmBLJcAkkITiDANSFgAwaM91WWbO3raGY0+9rd01t1VZ3z/tGSLFnbSDOSLbs+z1PPSD11\nTlVNd1d9z2896XYmhHgjMK6UelYIceMcjvch4EMAVjh1tt0DAi5J9LLg46se4JboXg66af4pdB2b\n+zs5PFSHPWARG1EIH5pXjZPSLnzViR9l1xPvUyihU01qWLqHK/Xz6tV1PKbms7ZzkM7oDL/ou4qB\n/U0I9+LcZGXSQ5R1UvEyyzoH0ITkyb5FVGUYJwOzfph7R9ec1BoialRZkppkyaZJHtuxFK1YswJ4\nvTEi47W/h1CK2TaD2U0lvnrVd7gjcnIclq8kO6ohfrp7JWLSYsnaIValRtgy2bEgojLgRLLVMLop\nkc6Jq4RwtMrE4y3Uz77wWRYSrBzk1znc2b6Pj659lHYjKGB4KXFEW/wZ0EVNywhqUiRxtrFnvaMq\npW4+w4HHhBAtSqkRIUQLMH6K3TYBdwohbgdsICGEuFsp9Z7THO9rwNcAYumOl1PuR0DAgpE8CJ9/\n6jYuu36EOr3I6vgwT08uBUOhl2HjB57jDent3BHJYQr7gp9Pzg0zvUahmiok42W2DnSwtGX8vDu0\nH8+sa/PezGPcl7wSe0Sn0uhflHR2a8TETUja41lKnomndDYt6qWvPsPA9hb+4t63oHmC+Gsr5Kph\nklaZpFUTMKbmM1GJYWQNpKE4uqQ7+lNpAjcGn1r381OKHoAZWeauJ36X0AGbyiKHuFlhoJimMz5z\nwa/91UhTeJY9XjNmQeBFa2+UkOBUTDKHTn6UzC71aWrK8fxMG3b9pWfxWCgutTo+x/HXwNuA7Uqp\nc9IK811K/he1fhn/88jPH754B6XUZ4DPAByx+HzqdKInIODVQignab3P4OPbPgwKrJwiERdUr89z\n9RV9XBU/xE3hCUyxcPE2Z+INmW1kbizyn7vW0pWaoRI3yCyQVcLxDP5p6lqEB+V2D6184fx2MiTB\nUAhLUrV1QhM6Ww908fGrf0GzkWNNaJh3DX0QmfBIN87yuvZ93JLYwV6nlV9NLePpoU4a4kVaozky\noSLxy6bJ70+jNEj0geYppCEYuVbwF7f/G2+PznCqUElfSf7X5GvQDtuIy/N0xItYur8gbUACTk9n\n8zQDuaZjxTFlSJF8LIJ1vLVHKfIdBpHWHFc19vPG1HPU6xe2UOjLHXVpCp/DwI5zFT0wf+HzP4Hv\nCiE+QK2S4rsAhBCtwNeVUrfPc/6AgFcsmgeJviMVf5Mas90S0R9jZ6SZsUqceyfW8K6mzbw9NnnB\ngy7fFcsR1Xbx013X8Hypk0RTgXp7/nEoRc/i8HCG4ckU9JTpqs9yeEfzBQlu1qqCjlXjLEpM4fgG\n3ZEpvv3M1aTrZ1kZGiKqObz58d8m/miE0loXy/B5Z/pprgqZvD7Sz0dSh9jT6XBfYTWTbpxDxTqW\nZCZ5JppEL2hoHighGHq95Ge3/vWRqtoviB5fSQ56ZR4p9fC9kQ0cmqgjtWYSU/dpjMwGtXsuAj2J\nSUYaE/iDEZQOIlnFKJ9oMZ1tMyi1KDK2wzsyz3D9hTeoBlwY/htwnxDiIcA5+qJS6n+dbeC8hI9S\nagp43SleHwZOEj1KqQeBB+dzzICAVxrSgHLDkUahvkDXJA12gcFiis88/A4W3/x3XBW6sMLHV5I/\n338H0RGFU69TyqaQDaPznjdqVLlyaR9V32DX44vpz1poF2hxaeYF/b2NOF067+l6Gh1J6jmT/OI0\nH6v8OmJnnKZdPkL65FyNomPxTHkxi409pLUwutBYZYVZlTmIo1z+34HX8ejepbR1TzK6oxGjrBi+\nXvDD13+FRYbNjF9CE4LNTozvTl3Fw/1LqGRtEg0FCgWbJS0TJEPlBamCHfACvhJUfJPDsykKlRB1\n0RKNkVnihoOrNHxfA1lLVzcGbexsLaC5GtMotQiiN47zwe6neFNsN51BXA/AS1F8cCH4LFCgFkJz\nTvUhgl5dAQEvMV5Yo9jlI1yBH5YsStQaDLdHswxnEnx4+3t4YsPdF7Sej4fP2HiSREKgtZbQDcnq\n+DD7S3MqhHpatCPpW+9vfYQ/mujBa/PAWbgaNkqjVhCxwaGc1AkdtrB7PGa8KN94/HraR3xCeYG3\nN0Z4yj+WTRbfr1OsJPjK9jfy5WU3cV13L6tiw+wutuApjasTvVwWHeMxowdfCZQBXkiwfuN+XKXx\n+alV3NO3llioynQxgmV4pGIlEpkZGsIFtKbaw1Y/Od8jYJ54Umfzs0sxm0vcteIp1kb6sYXLXx1+\nPYaQrG4b4fl8F+Ehg9Q+iW8JplYJ3C6HT278Oe+M76FOC6OLQPQAKHVpZnUBrUqp1eczMBA+AQEv\nMaVGgdIUQgmEJ3h2qINVzSPYukdzchZDSH5WSnJn9MJmAl277AA7M814U3Euax1itHrW5IizognF\noWwdD4Uvw41DOl0gO5lZMFeXULUKzItapoiaVbY7nYw91Mb3c2005hQgMYsKs3iiAEkM+CQGABRy\ne5idodVs19dgVGqBzDuitftpyoKZ1jCyo0rxNoeCG+Ifxm/CkTrrG4eQCHqSC3MtAWdHQzFSSmA0\nlvne1V/jcqvmp/KVZPGi7zHsR/jy8C3oiSqxJ3XKdRruzTm+uOYHrAuNH7HwvLrjeV5B3CeEeL1S\n6v5zHRgIn4CAlxoBetJF+hbCF/gHYvSHMzREC/T2N2JMmmxr6OTO6J4LdgohYfLl9p/yo3Qnf7br\nnewodDHUlWBV/ei8rBaO1JmajHPPyAZi67Lk8lE0VyCthbGEGEWBv6hCyTX5/e6f8dEn3k9mt4+Q\ntSBWJc6usDSvFrR81BxUjWtUGgRGAZw0uD1lQpaH+UScvStDTLdESNtlWqO5BbmGgLmTc2369jcR\nGTTo25hhuxPmFzMrebS3h0S8RDxUZfD5FvyUh+YpZjdV+I/1/8wKEyJaYOE5HZdocPNvA58SQjiA\ny0KmswcEBFxYpAHLWsfYM9mJjPpIq3YT2jvYRGy3hVGCtHHhC96l9QhfPXgT6d0ws0JjeiiFrBtH\nn0dzLV0outomaYnkeeqp5aBRq4o8TzRX4MV8aK2g9UYZq+r87o7307hVHWtVMBfR82Ly3Tr5lS5I\nEFUNFfHpapzh8swQj/98I7G9FtPZOiYyHhP1UcKWS09yMnBpXSQMTWJmKpRlmE8/93bCD8SwpxWN\nCpxkmPFGgRZVqFmdyTc4NNfluGvr+7i6tZ+7Gh9lU0geq6odcJRLM51dKXXeBZGDT0BAwEtMdFjR\nO1HH0tWDrFl2mGXLh5kcSaIN2RQ7fX7tA0/ywWTvBT8PX0nKVRNpQHhMgISJ8vxWyRqKqq+zKX2A\n8LiGjM6/CaQyFaqtQqYjy4b2w7CoSMMvLRqfVejV8xMgTkIj26NTblRoRR2tqKMsyZXLD9EczXNr\najvSAM2tpUhrOYNsX4rRXY0cLqSZdUPzvq6AM+MfaYtw+9JdKE3h+4KZq6o4SUGhVSN7mcJZUSa1\ndhIrr2HtCZMthbm8aZiyb/KFgTfwlexiJv2gavarnUD4BAS8xIRmJWp/jM9038enO+7jtfW9iKqG\n3+LwyZvv41MND1/wRqUAeVkhbLmoN09R6PHJdGRpCBfmNadxpPLz3f1XUU0oWIgWVRL8ooGpS1bG\nR/CqBnbWR3fO3+oyc2uZ8E0T+KFaxWwZ91m/oo981ea2uh0sNqZxUoL4oI+Z144EVQvQoG9/EyXP\nwr8EV82XEtNOlL5chvFKnFivgVcxoayTXakodkikrdjQPcDNrXtx6n3C44ryQJzdk02EdZdMqMg/\n7tnExwbeSE6WX+rLeVmhlFiQ7WwIIf5JCDEuhHhJ+4MErq6AgJcaBZmdig88cRfKF9Q9GCLaICiu\ncnloehm7i620hrLcENvNVSF1wWr6pPUIP1/7r/yq3MAfbP0Nsk6GiUhpXrEsUmmk7TI7d3dgVwSu\nnJ840CsCt95n8aIxenub+MbA9aS2GUjj/C1JbqR2TpNTcXRPoHTFmmWHiRgus67NDeFeZpWB5tUy\nyPSKoNriInJGrQu4Lzg0WUcubrMsNTGv6ws4PbbuMjUdY3Iqjurx0GbME2LkVcTDEJK3pJ7l28Y1\neLZAGZJcNoLWrNBRtKdyPLF9KXtbDa4KjHTAC01KLxL/AnwV+NeLdcBTEVh8AgJeBhhlRcsPLNp+\naBKalbUH6pTFzrFm8l6Ix6cX85v/9RG+keu8oOeR1MLsKLcTP1QLHO4dq2eicv7urrJvsjw+Ruui\nSYwK86varGrCQ1g+v9H+JFbSof1+QWxkfu4zaQqWtoyjXA3RWWTlxj5SVglPaXy44yEWmTE6dEml\noWZRig4qtPwLa0bhCfz9MdpiuWPp+wELj617LG8fQ1X0k1qeKA2siMuOiWYeLS4ntcPAnlYoQyGm\nLB7qXQJAUyTPsqXD6MH79JKglHoYmF6o+YQQuhCiVQjReXSby7hA+AQEvEwQElC1eBMncyTD6ECC\n3lw9MdNBZar8x9BGBr35uZ/ORkSrkl0BRlmg9Ybpnaw777mqUiekedSFS3gRkJF5+Lq0WiB4dIfN\nZ7fcjr49Nv8u7wJ0R3HgiS7CyQptdTlGZhM8drCHsO4e6bgO01Ji5msPWzsr0RxxQpC2m/J57nA7\nQ6Ugt/1C4SmNertAKFWBUwgfO+QSMnz+6e7biA37mGVJaMxAhiW+rzHjRHhk5zKG8wn8S7Ng34VB\n1Wr5LMR2MRFCfBQYA34O3Htk+/FcxgbCJyDgZYZnC6SpQIDSFcPjKSbKMfThEFM/beMHs6su6PFf\nG9nPHa97hvLyCvbqLMsaJs47fiVuOGyZ6WD77k7CV0yBcX7CR+mKuqVTdF85SLFdYm2PkOydX8CQ\nNGDsKo2JKwReTHJz91769jcxdTBDMlHij1p+cmzfkIBqWh6rP2TlBCr0gqVJq2q42RCHZ1I4fhBB\ncCGI6lWq0qA6ETmWuXcUFfUIWy6Vh+tJ7/WPWQf1Cly3bg9CwLYd3aQ3mxTGYkRF0D7keCRiQTag\nXgix+bjtQxfwtD8OLFdKrVJKrTmyXT6XgcE3NCDgZYaQCj/joWWNWr+hKYtetxG7IvAiNWFyjhXa\nz4lrbJ1I3aPcv/8qCnUWe12DpY0T1IXOPRvGVRprUsPkumxmnm5CS5yfWNEcjexsmGXpCQ7VO2Qe\nsuZt7VGaQO8p4M6GWNw5zp80Pcjv3vEgcaFoMWLACy6+jGYR7cnhbU5iVBRWHsqOXnvAKhCugDqX\n9S1D8zupgNMiEUT1KsRdmDrx8x9Jl5l5toHG/Se6PVMHfJ7/zmqMTbMsWTXK1OII727ezzLzwn1/\nXuVMKqU2XqRjHQbOKwAxED4BAS8zjAqk62ep6yoR0j0OTWWoHkjgdDv84dX3siF04W/artLQHQhN\najgNBntGGtnUfeic5xkqptg62o4mFDKkjpQYO7c5hARpS/wZm8edxehjIeabHpbv1Ck3KUxNEk2V\nWZMeJq2FqddPbQSPaBZvWbSN73ffQGRMUW6AO695lh9uWU+4z4T1eaJ2FU3IoKbPBWTCiWEMh/BD\nL/yNZVhSHo5Rf+Dk/X1LUE2DlIKEWeEHS398JDngwva+u5RQXLIFDHuBB4UQ93Ixm5S7M0McAAAg\nAElEQVQGBAQsPKGcpPRYHW+/61HeHNvLJ803seuhJNG1M+hC8smRK1gTHeTmSC/tF6jJYlFZFLt9\nlCFZ0TZGU3j2vOaJmw69o80IVxDqKeANRzlXXSANaF82TsxyGL+7C7Ok5mXt8UMC7/ocJnD7ol38\nUePjmOjo4syCcriSwl8/y9R4BHzBnlwT0QMmehWu6TxI32wdJc8ibjpnnCfg/GkIFei7LEuxL/nC\nZ0BCeodGKH+yGHbSGpVWF83T6Z9NX9yTvWS4eAUMhRDfBm6k5hIbBP5UKfWN85xu4MhmETQpDQi4\n9IkPSL70ozv5QkwSP6Dj1Cty/XV8396ArbvcP3AZ34oX+NFl3yeiLbwF6Aqrwj/e9nV+f+c72Ptc\nJzOXTdCVmCGsu+c0TzpU4g0bt9FXyLB3a2ctCuBc7rEKlClpjuaJGw4TEozK+akepcPQzQqtLJBT\nEcKZMtfF95LUwnMa/6bMVmaqYQr1IWarIfbua2PFbX18qP1hGvQ8vzfxf8277lHAmXGVRqkUqhn8\nRC2o2czr2NOnED1JDScJqaZZShWL3+h86oKVggiYG0qpdy/gXP8DQIhat1ml1Jy/fIHwCQh4GWJU\nFM1PHnnAC59pW0cv6IwV4lzZNMB4JE7vgWY+GL6Vb3X/csHL8Mc0m42hArneNKk9gtFwHVq3YlFi\nGlObe/q4hsJXgsPZFPFDGoVuybksLmVE0to9yeZnl1L3vMDOnr+Ly7MF+qyGDEs2rd7PVzruI61H\n5jz+zmiJNyz+GY9VTD6y9f8GQ1JvF9hVbuOnI7eQCZcIad7RIM+A8ySsuzwz1snUdAyk4IqefiJG\nFV0odKFozuQZnrAREqyWIvajcbQXxSqX6zSmrvCJNhe5a8mTfDTVG7SqOAMXOyNrIRBCrAa+BWSO\n/H8S+E2l1M6zjQ2ET0DAyxylgZuo3ZkmxxNk02E0oUjsNXgm0YXsVhckYkFHEO6cJe8k0BNVLN1H\ne3E6zVnQhOKZ0U4qZQt/gwM586SMnNMiIFxf4o7WnXy7bGM/eN6teSi06RTbFJoLtDlkq+FzEj1H\ncZXP7+9+N9H74jhrFNvHW5ENGj3JSYBA9MwDDYVEsD/fwPLMON3tu9mVb+bazAG25DuZcSIkrDL1\n4SJDpkRUNbTtcWLDLwhxPyTwbMHUlR7XXb6XVbER3hzbgS6CBqVn4hKN8fka8P8ppX4FIIS4EfhH\n4LVnGxgIn4CAlzlKE7h1HvgCUdZ5+onlZFZMMbvY54sb77lg5vuQMPng8sfY3NzN0w+uoJAoUQmb\nRI3qnOfwlEZ7Mse44TO5ux51Dotu4YFbNfj6wzcSOawD516oUOk1S4+TAjfps2FNL3/d9Z806CHg\n3NqA+Ery19Nr8H9ch5cWSNsnfzBFX6jK0qBi87xxlUZvrp58JcQ3ln6bTiMGjdsBmEzs5BvZddw/\ntoKKZ6AXdcyCIHlAImTtPc4t1vDiCmtZnjd37eXj9Q+yyDwxOy/gFUX0qOgBUEo9KISIzmVgIHwC\nAl7maJ4icsiEjTmu7egl54Z5bqiNdWt7+ebIa5lt2sIV9gCrTGtBzfmm0PlEuo8vKp09h1aQl3X0\nrVesqhud8xxl32T7gXZERQejVltlLkYRaUuMvM57Vj3NNx+6jsxe77y6rWeX6JRafUhVoKrxnuYn\nzzsg/Lmqx7cPbsAwBJ4NQtZ6dWlBFteC8Oj+JRiDIdw6j4gQ+ErS55WoKJ2isnhNdD/fLa8/tn9m\nt8RJCHI9Gktu6eV3m5/hSnuAVl0nptkEgmdu1IoPXpIWn14hxB9Tc3cBvIdaptdZCYRPQMDLHQWZ\nvT6D3RESiypsHuvAeirO8+1RGpZPct/kGj43eBtLmib528XfPbLKXTgWWxPMdoOZF5j6uVldLM1j\nxeJh9hxuRpUMRGluwkz4Ai/t8f3edVhZDXWOLjY4rgK2gHXdh/ls5w9ZZtqcb93WJr3K8vpxtrUn\nkR0VyFoIV5Ar2xAUbJ43nc3T9JcaEZ7Gp4duZW+2kZmHm9Fc0NxaWYPYkM/0Sh1SEs1TlJo07v/Q\nF44Ts3Na8Ae8iIvYq2sheT/wP4B7qOX4PQK8by4Dg2ivgIBLAQWtv9B45EtXE/q3DFaultI9mY0h\nlaAxVWD4nm4+2f/WBT/0UmucW16/hUqDZORAA8PF5JwrOetCkbAqGJaHPWzMOaMr2ZFj1bJB/C0p\n0rvP3aJSjWnMdgm0riLxjjyvq9/DYtOcl0Ws3YjxvpZHMZbMEo1W2Lj2APWrJmhJ5M97zoAaRc9C\nKsGK5YOokM8DW1fi/2sjmd0+sSGJ8MELQ75bx40qZJ3L5LtLlNs87isuw1Xz69cWcElys1LqY0qp\nK5RSG5RSnwBumcvAwOITEHCJoHk1txeATNXcLIzYPFvuZlXPEJMNijsati/4cS+3bP6w6ZfcG1kL\nAvb1NdO0cu4P+6qvgxJ40TkKGAHZ4QTFUojEiDqn9HWl1QKZpQFuUvLGJbv4aP2D9JgxzjWm53ju\nL5l8eufb8R7JIBOKrhsOsSg6xXgpTr197hWtA15AQ3FDZh9rWg/z/h98GKKSRMssY5sSGHVlvLEI\nyvRAg1RLHqNqEnswTna9YM2qAZ7I9TBUTfOLkeX81fL/4KrQ+b/Pr1Yuxawu4DPA9+bw2kkEwicg\n4BLELNWCf/1krS/Rru2dWJcVKMkQO6tlGnRJo75wZn9baFy99gBP7eoBQCoNXcxtld1gF8gki0xY\n4TlVbo5253hj106+/5NNhE9Rn+VMlOs1CleX0Q2fj6x6lHckttWCZOdBQVb4l7Gb8B7JYE8pnAxM\nlyOMh+IsSkzNa+4AyLk2f7f7elY0jmGPazhpwayXQFQF3ngYIUEr6mRWTrK+YRBP6mwRl6PNGuzo\na6W1KQtAWyzHf+97M5/o+Dk3hEuERCCA5sqlFOMjhHgDcDvQJoT4m+N+lQDm1IQtcHUFBFyCmCVJ\nao9g8aIxbl6zm3ivjusYPDKzhM8O3c4tz36QP51YuGamaT3C33f+GGFK7AGLx7cuJ1e15zS2v5Ah\nX7LpWDWK0s+iehQUhhL8sHcNkVFxThWaSw0apWaBXzDQdclye3jeogdq2W0bk/0UlrlMXl/FtxVR\nc+6ZbQFnJm46lPI2z+5cTOXyMjKkar3PRC3WCwWy0aE7Oc1NyT2six9Gryj0ikCbsBjf0sSMEyFq\nVDE0ye89/y42O0Ghwlcww8BmoAI8e9z2X8Ctc5kgsPgEBFyCCB/igx6T97YzarcTySmYDLFF72BJ\n8wTFUoi7H7iOP3rXtgVLd09oNvFUidl6A6OuzFgpTtKqnHVcybWojEXpH4+g+WdZWQog5qI/niQx\nMPdMLi8scG/PUpmKsn5pP+9teYzXh4vMtydTTpb549Hr2TLZwZrlhzk0naGgBGHj3CpYB5yevtkM\nzc1ZJnY0osonr8WVoUhnClR8k1sjQ1z92Jtompbkl2hIS6E0qPi1R1nCrFApW/wkv5ZN9sK7fV+J\nKMQlZfFRSj0PPC+EGAEeUUqVz3WOwOITEHCJ4oU1En0+mT0+fqjWrFFO2OwfbkSN2ixfNwCAo1x8\nNb+mngC60Pje+q+zcs0AYn+U0YkkZf/s7oSqr6MsiZ48i1hQtWuI7LZRGnMWPTPLdCbWC2aH4whD\n8gcd93FntDRvwXdvyeYde9/Fw9+8kolnmhjKJ/jAsse5Y812EtY532sDToOl+YyOplAtpxHRGsz0\npemfSfO5iU2En4qBgvCoACXQq4KRfOLY7na4OqfPZcALqAXaLjL/DzUB9KQQ4otCiDcJIebUkC0Q\nPgEBrwDMImhRF63eIREvYxQFlubzlZmlvHXfm/nI0CZycv4P62VmlMPZFGZRoOkKbQ63u/Z4lkiv\nibUnfMa7o+YJMCTFLo/UwbPHDwmp8EOCUqtEay+x/LIhnvy1ryxIcOuMX6LDyHJorI7cahc3Lal6\nBlvynRR9K+jAvoAsT46BEqiZU/ecU5ri8sv7qD6X5uf/8hriA7XPhvABQ6EElEqhWuVnJSgPxnlw\neAmOCqxyr2SUUncppZYBbwMOA38LzKmSaCB8AgJeAVizkvRDNn7exFeC2CBs29HNk9lFjBViPHzf\neg64C+Py+ta6f+ad734Q0R9m63A7Re/sTVIrK8tUE+qM6exe2qOpNUvskHHW5aNQCjeiMXKLB0IR\nDld5Z8uzCxLQ/WBZ44r7P8ZbHvoI+sEwHIlLklIEgucCMO7EEbMGmnPyh0NZChHz2Lajm/RuSfyw\nf6zliTWraO2ZQLVX8D2NPdlGnh9tRSVcvrb67iC4ea4cKWC4ENvFRAjxHiHE/wa+D9wMfBW4bi5j\ngxifgIBXCJFJH/sXAmkkcZIgXMHmZ5eibB+aPIrK4mnHnbdF5HLLZktoktC0oHQ4yn6rgXVNQ6c/\nL6NKZ/M0fdUGRFGvBay+CKVBfUuOma0NNPSe3drjJHSKrQI74VC1DL617p+53JpbsPWZ8JXkCwO3\nYx+2qKYk2mUFltdNM1GMsjQzOe/5A05mqhJFhSTKP3EdLiRITUHJoPXBF0o5HCWUl4xsb6J5zRgT\nuRjDh+uI7zZhZRVXBcHN58Slqef/GjgI/APwK6VU31wHBsInIOAVghICIUGvKsLTiumwJNpQopiz\noarxl4dvw/EMdE3yB133cf08dMI7YgN869ZBDu1qITsax23Qz9i1vX+4jthei3KTPGW/LhX20TWJ\nPNrW4kzXqYGTEpQbJZ2pPH/Rcw/Lzfk96Aa9Ap8bu5mHD/dQytuInjJCVyxvHCcdKtESCYoUXigW\nxyc5EGqEF1X19pMe5oRJ3TZ1kugBQEFkRDBVaCa6YYqrO/tIrHN4a2YzV4YunWDdlwOXUnDzUZRS\n9UKIVcD1wGeFEEuBvUqp3zjb2MDVFRDwCkT4EN9nUnUM7EMhrAmDXU8vwlMa+5/qYtRLMukXzzvo\nOabZfLzrFzVXhKtR8Y3TVnPWhULoikqdOm2TUlHRGJ9IkDhDpx2haq4yLyyo1Cs6Vo/y+SXf5xpb\nP2+3hq8kOVnmX7Ib+eXP1iOeSELRYEnrBOlEidZI7rzmDajhSh1fCRzfwJWnFqdl38QcsTjeiygk\niLKOPSFOW8DSswXljSXc5SU6k1luz2znq21P8bqwv6A96wJengghEkAn0AV0U2scM6cbWmDxCQh4\nhZLs9Un22iB8JtfouO0OfaN1mFX42fQa/rj/zdy4aD9/1foQEe3scTov5s5oia+vGKD3J4vZEu/k\npuX7kKcJ4onFKnjZMNUkyNCLHmSiFsuhTVuEJ09/31JCUGzSqNQJtJV5fr7q/2DOI45j0i/yJ6Ov\n4ydb1xBKVfAXl6nqkrDhk7ZLxK1KkB00T/bNNOB6OsVSCNPy8H2NeMShJz1JWK8FH087UYySoHrk\ncyEkoMAe00kMnN7858YE/nQIu7mIpXtMeAlg5iJc1SuPS7Ry86PHbV9VSg3OdWAgfAICXukoiA0o\nKi06StewsoIHtqwEXfHIj9bz6F2buSlcOa/0728uvofrr/4gaixG72wdTZHZYw+0o/hKUB8rcqg9\nUStM92Ld44M5o5PcV8vUOhXSqHVarzRJUj1T/M2q75x3unpJVun3PLY4nfz0qbWkdunM9ujcsGkH\nUcOh7Ft4SptvCaBXNWPlODOVMLlCGKXgq1f+Oym9xHOVLibdOPcOr6InOYkuFA12gYPHPYmUDnpF\nkDogT+32FDB5uY5vKazGEuXpMDPpCG+N7yToyH7uKC5ZV9flAEKIiFKqdC5jA+ETEPAqwM5K2n4u\nQAhmlgEhiTFlgoS/OHQ7P68bYEO0j1+Pn9uKOa1HuK1rNz9+7jX0+80kV1ewNO+k7KeWSJ7DuTZ8\nW53YtkKAXhak9yjM4qlFjx8SzHZoaC4sXzvAN3q+S8s8KjJ/fmo93/7J9bVTaHGYvdZBSYEjDaR3\n6T0AXo6UXIuJnQ34Mcmnr7+X10dcwOSq0DC+kiy3R/jG0LX4UqM1msNcN0P1UBJlKOIdecQv0+jO\nydY/aUCpScdp8NHTDjd0H+ADDQ/TrDvHdWgPeDUghHgN8A1qardTCLEW+C2l1EfONjYQPgEBrxKO\npgGn9/lUkyZe3Cfeq9M/XEff4QZ+MHUNmbd+nWvt4jm5vn6/4VHuX38ZxuNp9jQ0clVHP8CxmB9d\nKAquiTRBcwXSOk7gKPBDR4sVnix8pHGk/1aPByGfv118fqInJ8t8fuJq7tm/FmfGJpITVBolq7uH\naQnnyLlhNDH/Io8BNWYdC2UApuTW6F58FQFAotAQvD2Wp63rR/yisIpDpXrqoiWKIok1rSP2pYkN\nv2DqURpIU1CNCwrtAqfRI9xQIh0r8fbM5iNZioFL8rxRwCVo8aGW1XUrtVYVKKWeF0JcP5eBgfAJ\nCHiVIXxoeloiDQ0hJf4WG91R5Jco/mH4Rv4wn+azl/3gyCr97DTqUaQSOBlFaHOcfbFGVmTGjv3e\nV4KY6eAnPOwhk+pxwkfpEO7O4x5MEJqtva6EQCiFbwqmV+j4tuKODc/zB02/POdV/aRf5CvTV/HM\ndBe7D7QRPWjiLHbpen0fM5UwMcOhKo2T3HMB54fjGxS8EB2JHNOxBJFUmS9P3kjRC/H0SCf5iRhN\nbTPc0HKAO5NbMIXPYDFF2TURfs0lG5nyUZpAGpDv1imurmDvt4leM8n7urZiCp83xrfTquvEtPmX\nMAi4ZGN8UEodFidWeJ9T5+RA+AQEvAo5mvYulCIyIfEtQWxAY2umC6oaXwrfyq7mHdwY2cu6UOis\n861pHOGJsRhuk09hIENjtEDKqrnddaHwlSDaUMIfSdZWmEfuVcqSFKfDJKdq1pajokcJgZPSqHRW\n0QoGo5X4OYkeX0m+kW/n7/ddT64/SWhah0aP4pIqK3qGaQrP0hSePee/W8Dp8ZVAE4ome5ZrEgfZ\nM9ZIZSDOj/o3ktoriE9KEhKgjofteh6wX4NeVUxdLjB7Zon1a4Bico2Bt7JIW32W3+94jG5rktKm\nEGutqeOsffMvVBlwyXNYCPFaQAkhTODjwO65DAyET0DAqxglBEZZYZQVuiPIKQiNGexTrezf3cY/\nNF7HVR39/HnbfbTo4VMGFLvKJ2OVMPI6Xp3Eriuzc0s3q67ooy5UPLbfkrpJttXFjnXcRoGoamS2\n6Oiuf6w3lxICJ6kxvamKHa1S0RX/2P1fQOSs13PQLfD9/Hq2z7bx+P7FiGkLUe8gWl1u7jhE2TcD\nl9YFYmA2w3QpzD+v/Sbv+NVHiO6zcJZV6e6YYDTbhlHSMEuSYouOlVcovZaZFRkWlIgTkuBkBP/+\n/r9ilWW86LPmEAQuX0AuTYvPh4EvA23AEHA/8DtzGRgIn4CAAACMiqLjRxrgMbPEoLDKwa0a7J5q\n5paBj9BdP82tTbt4R2IbncdZXw64DvftWoVKeoQGLSodYLii5v7yDUK6h1QaValjNZVwpsNoZQ29\nIghNC0JZ/5ilB6DUoFPoAFXWCWeq/NbKR0icwaVRkBX2uhr/Pn0N92xbT/hgCAS0bhpl3IpzefsQ\nVWngKe2MRRYD5oeuSRzH5K6t76uJnrRClHSypTD6uhzji2zMMQsv5qOXap3VqXfIpIqUdtZh3DaJ\nU7F437a72NR6iC+0PHJeZRYCzpVLqzv7UZRSk9QalZ4zgfAJCAg4xlGrS6LfJzZs4kYEXiiMt0TS\neyjKtwY7+afYbax+0x52TTRRKtq0N8ywbtFhtu7volrvI2YN/CaHPc928frrn8MQPlk3jC81DEPi\nmBJKGroj0Ku1rC3NUwgfqjGNakLg1Hu0/1xQbMrw/Tdfwe+kDp6QXe4rSZ9X4slKF88UFvGjhzdi\n5jXoqNJx0wB9kxm6E9MsPpIyXbMYBFwoyr7JHc07+LfyRrK5KKwuw2QI4QryvSmgVi3XDynwBV7a\no74lx/LMOI/v6yE+KpiKpGldOoGhSe4/cBlhvcpbUs+yyQ6KEQa8gBDiT87wa6WU+rOzzREIn4CA\ngJPQvFpvJLNUcwv5IQM/BIUOBQqe6e3CGLAJZwUzbpj+yzy0kobKuKiKjsha/PrrHmNj9BD7nSYg\nQ9aIYOo+QlcIBZoLWlWhuaBXJGbJw42GmF3mEho1qaQUTkrgPNTMhsp7uPtIP64/nVjFYDnNr/Yu\nw+oP4cYUQoK1dobL0tOkQyWaIvmgoehFZLiQ5Hv59eR31qFislav6VQoiHTM0pmewdZdfrv5AZ7s\n6yY+4FPJaAyPprmsa4Rrug/RX8rwnuc+xNvWbuFLLVsu7gW92ri0virFU7wWBT4A1AGB8AkICDh/\njlqAkn0+UgfdVZTTOllslA6lNkmqZ5p6ATN7MkgpaHlQY+qtJT6QfoKcNKkqHVcaZN0wE1aUnKZA\nCjQPdAfMksTKuxgzJdK9EyT2Jhm5McnkRh8zpxMeFzjbUrzt4CdoXzNKf18D1oSBFlI4zR4dXZOE\nDI+WSO6Y2AlEz8WlOZrn2b5OVFghqoLTFPBG1VVZ2TiKpfn0RCdYapZRUtRamWigTZns9lu5cdVe\nokaVNT2D3LP1Cq5L7OMt0cJFvaZXDerSKmColPrS0X8LIeLUgprfB3wH+NLpxh1PYEMMCAg4O6pm\nBVJCYGcl9c8rUntAqwryO+uY2ZPBT/hkGvKgYMknxrn5nk+xzWmjx5ygKzRJi50nYTlohqxZfByw\niuqY6BGzJdzOeva9N85b3vsQib0GqT1QySh8G4yiYGhLC1pRR1tWoGf9IK9ZdYDuxBTt0Wwgdl4i\nDCFrW7+N7pxB9Gigqjqbe7vYOdHMp+u28u/5VcSfDiNNgddVqZWT8QSzbi2TsC5UZHH3OL/3wLt5\nsBw8rgJqCCEyQog/B7ZRM+BcoZT6tFJqfC7jA4tPQEDAOWOWJUZF0LhZ4IYF5UYNxjWmZYolow4o\nxfLPHeR/P/EOIr81xH9f9EMqtslIJMGAmcaXYJYUoayHOVkCpTj8zk7e+/6f8o7ENu7ObkB3FNOX\nK0RLhcZMHl9qRK0qLZE8mpCB0HmZIJUgWw3jhVVtKX26t8WoxfeIKYvGtnH2uYq/vfcNNA8esSYO\n2Pjh2mDruCD0ztgMg6kUe5wWbgwPXfgLejVyCX2VhBBfBN4GfA1Yo5Q6Z1NgIHwCAgLOmaNZWHpV\nobmCUL72eqJPQ3gK2ZhGVFxSTw3h70/wvnf9Dh9/849ZEx9iX7SRGS+GPS2xpsrMXJ6m7rf6+cv2\n/ySqOWyv1gMg7phiZSJPzHAI6d4JlaADLixFz8LSfDylnbIFyfHMVMPkHRujLPAip9/PrC9zffdB\nHti3jH0HW3j3I79H4y5Zc7VoAi8uEZ5AVGsZgGHdRXKks3vZ5Jv91/CB5HfPu0dbwJm4dFxdwCep\nZSv8EfCHxxUwFNSCmxNnmyAQPgEBAefF8SnoR9EdiRs3kZaGVpUI10dzPJbcPc2/b7mdkTe6vHZp\nL1tLjQDs/Z0wH73qfpaERhn20sz6YWZ9mxkvwuUNI/hKBHE7FwlX6kw7ETShODhRj1O0UBWdq9cc\nQEMdEyIvpjWcZ/dY8+lFjwCrrYjn6vzymdWkt2lEJiTHF9lVGihToVUFWlnjuYEOXrv4ILpQSATh\neIU72nYGoicApdS8fZ6B8AkICDhvjgY/H622rDSBFxb4dq1IoZAc+amw8j7t9xg8/ZoVqISidFeW\nd7TvY8DJcKDciK8EntSRiGPWnUsFV+onuN9cqdfqFmn+JVE7yFeCghti99522ron8X1Be8s0Fc8g\naZZ5eqSLuO2wIj1KVZ742JAInLEIp2m3hpXVUK3gFU1aHhHo1ZMLSOquAqGQIYU9plGuamSrESJG\nld0TTXi7EjyeWYxftwtdBLE+C86rbE0RCJ+AgIDz4qjYOf6n1AV+SCANDakfWcnrtSaTvg1OSqH3\nFBDPx5ndneGe3DrC0Soh08UyfHShMHWfsOGSCZUwNf8kEXSxLT9RvUrRt06wPvlKUJUGhpDsnGgm\nl42wtH2c7vgUZd9k73Qjk6MJ9LDPZW2jNNmzx9w2g4UUIcOjPZq9qNdxNg7NZMCSlF2DP11/L2+M\nDpLUwvhK8mT9Y3xm/9vZPdNMayx3Qm+zvkIGZahTprArQ1Fp9BAli6YHdfTqad47BXrM41Pr7+fz\nj7+B5uYsOw+3IAsmaIrlmwb428XfRRdB9eYLQiB8AgICAk7NUZEDIHWBkOCbNUuP5oFQ4CQE0qo1\nmZRmbfMiCi8hsZuLvKVnGz958FqSvYrcbJhyXYhi1EfYPobpoxsSw/ApRS1sw8VXGk3hWbLVMJbm\n0R7JMlqpufENIdGEQhMSecQC7intyOsvWBYqvomtu3gvih05OnaomDoitoqMlRIM5ZJkoiU64zM8\nNdnFTD5CQ3qWZKjC3r4WVi0e4ob6fTw0uYzsSAIjr3PNukNsiu7jPyavZnIoSWjMoP6qaVJWGUca\naEKyZagdtS9GtcGjN1rP8rYx6u3CSWLOlTWXTlXq2Lp7QcSeK3XkEVGpCUW5YmKOm8yU0vza2n6S\nWk1k6EJjkw33rfo2Hx28hS2j7axtGjp2Tr0TddgjBtWkPCFURMZqli5R0mm5T0NzT38NQkLqAZu/\nHL4T04NcXxPxfK1puBuH2AqHjB64uQIWhkD4BAQEnBLNVUhL4Fu1yspuWEPzFKVmDXtSkV9cS112\n6n2SHVmyo3GMrIFRqrm5lA4ypPBthYz6RDIlVjSOsSoyxP1VRXS4ihcKobkabkLgRXRcW+LqtTo/\n5dkkMiwxChp9nWXUiI00YHz5OMMHG8AT1C+Zolw1qY8VmZiNETJdpgdTXLduD2OlBD2JSZ4c6aJQ\ntLlu0UGe6F/MH6z/KY/mlvLUoW5uXb6bJivPIzuW896rHiOiOzzy3GW0LZrkne1b+Jfeq8nvrOO9\nt/+KTmuSP33izVjRKutSg4w6SXb2tiE8wYZNewkJj5IKsSo2zAPWcpx2lz9Z8i0eepAAACAASURB\nVCOutYvcX85w9+g1ONNhUsMCa1WRa1r7OVxMMVZK0BrNATVL0rQTpX8mDUBdtERjZJaoUV3Q99bS\nPA7l61ianCCkeYQ0l7DtUi0JVr6mj+erdbQYJ1a7jmk2/635Z9y+7ePsNppZXT8CgNofQ69ykuhZ\ntXSQ/Y92U/+8RPPOfD5CKaQJaAqvtcrtq7exM9tC/1PtdF09yG+3/oqICNpXXBAUNYX5KkKol3E/\n+li6Q639tY+/1KcREDA3RO3+IY404Dwd1biGUVEnr4CP3HvciMAsnvg7pYFn14TG8b9T2pHj8cIx\nlQ5eSGCW1Anz+qaodWSXikpKxypIpCnId9WEjJCQXQH1z9XGFVo17CnF1A1V4ltDFLokKqRoXDTF\n+KE6jLyGm/YRrqgFppa0WhG6ak34SFMhbYmI+ITjFVpTedalB7klsYM//NwHqd+So9gVo9Sg46QE\nXhS8cC3OgxfFiyir5krRywI/rJAhiV7QUboiNKUhJJS6PFLbDLKrPbS4i2V7VGZDmGMmy17Tx66+\nVpSjYcRdvLyFqApUWCJCPsZgCC9WsxDZYzpOg8Qeq1mQNB+ED8KDQpcktjhHaU+K5AFwUoLCYg89\n6ZJ41EaagnKTQiwtIA/E8Nod2ptmuLK+n935Znof7qba5fB3197NbRGHgqzwyeGbmHKiRIwq4+U4\new+0IioawhO0rRojZHjMOiFcX6M+Ujomks4XXwmeHe6gXAzx8I1/g6vgX7NX8Z19G3CGo6iID4bk\nTWu2cUWsnyvsAZYY2rG+WV+c7uHvnryJG1fvpeybbH58OZrLsVR0ZSmQEJrSqdvuM5eesKNXa/gR\nibIla5Yf5rq6/XwsvYdp36FRj7yq4nquuvUwm5+vXDQlEupuV81/8rEFmWvgA59+Vim1cUEmOwtC\niLcBnwcaqd0xgqyugID5onRwIxpCKoxKrZfUqfBDAuErZi7TcTISZSjqn9UI5Wp3fKEUXkijGheE\n8orq22cYn4rR9IBxTMQIqZi83ECaCjeuyGzTCM/UDjjbblBoV/itDsrVyDxlEpmU5Dt08is8zGmd\n0Iwg0S9xEoJKncBJKyKjGrFhyfCtHqKsEz+gIU1wr5zFcw0Sj9gUbixyTVcfm+9djVMv2bBxPzuz\nyxESissdnDGLSKLC7BIDka6i8iZjQ2n0ikBaR8QOILwjheskSKPWeVuFJCLiEY46pKNlmsKztFg5\nEloFIUGUHKy8jR/SQICQAiEFHuBbx6keAeJIYTzfrj1UtbKGMmr7VBolQoJW0ii212rJiFEbJyLR\nXIGXkOzqb0Eft2oP16EwhoLFGw6zf0c7xoSBm/KxpnWUDpVWHxXxKKcVqqoTqy9SOBw/JiCT4Qr5\npipTdRqiqpFqy7O0boKdO5fjJhRu2mNt0zg7BqI0/cSiqjfxy3QL0gKVVghd8rXh61nZ/QM6jRif\nbPoF79/9G3Qnptl7oBV9Vgcp8BMe08UIlYMJ/KiP3VDGCVUp++YJMTbnwlH3npQaZE1e//SHqQzF\niB/SqG4o07N6iENb2mnYonjikY08Zmwku1IhGivcfc03uDIk+ER6H0tvGOOHU+spuCGEBC9aE87S\nrqWn12/RsXP+nGNHvHqXSLpMaypPwqwQ0apoaLQYQUxPwGn5AvAmpdTucx0YCJ+AgOPwrVpWkllS\n5Ds1EjePMjxQR2jUILVPnWBtkaYg36lRWOJhTeloVZARH5QgtwQatnIsBmb0tWA2F5kZjhByDbS8\nQaFdI73Xp5LWmNoguXz1QQB2DLYyvTZEvNeo9bK6dZI7Ww8Q1l3uObAW37YoNmrc9JtPc0tyB1/s\nvY2B3c1oVY33feg+uq1JPrfvDUzr9RQ2OvzV1d/jnskr2Dyymmpasq5lhGf3dVNsg7a6HPuzDZTb\nPbSyxoHpespNEmX7x8zfpcPxmtDxQrVS707N0nSM4y1OR9epmoKQjx2pkohUqA8XqQ8VSOolbOHV\nhI9TRS+6mGEdqeu17C9f4EZrolP4x813/Pr3RWvhYxYFUbM6HBVFonok46wqUDkTaSq0igBNITXY\nt7cVza+JKb2s4SYlwhdoZQElCzSF0qBUSKAdORelweC+RrSjgbwC8odSbM5GUJ0eWqUmhrYdasfq\nLDKhYugOuCkfFfa5efVuHvvxWvoeW8KvLfkUq688xN8v+j98efl3+LOBN4EUWNMayUMSJ2EQe2uJ\nysoq2efrWbRiin3DTfQfamDDykPEzXNrvLo/20DRsfjg0sfYPNiBNaNTIUq8T6PQKZFlg6hRpWPd\nMJUtLdgztT9s5CFwozbv3/1RjA0z3L3un1lpjXG3G6rFTSV9tJKGXhFYWYPwuMLOnt3MIw2YuELD\nzAvsQR3VZ3GgPcpsZ4jfbf5lkLp+MXn5On7OxNj5iB4IhE/AKxyl1VxLZrHWJuF0VhuouZKKrRrq\n2izTB5JYOZjMxUAKqkmFGz3OBSXg/2fvvePkuur77/c5t02fnd3Zvqst0qrLKrZlGxvbgAvVQEgo\nCQkJCSQ8gTyBJE/ypPxI8vD88kt+CaGkQQgx3QFTjAPYgLGxcZVsS5Zsq5fdlbbvTm/33nN+f9zV\nSrJ6RWvN+/Wa1+zM3nPmzp1bPvdbZ5ZIWJ3juvYDtIeybJjsoeKZTBxooNbm4kYstITQL4/ywNIv\n0WrYbHUFHz94OxsGF1Ps9ZA1kyt+8QU+u+CHRKTNuF/kg8YdbI+2UMk1IJfnuW/15/E1fD23lvJU\nGBGD8uIar4zvwJqthWJnJIVexed3XocAiiUHswydbVPcNb6ePZmmQIRFFE/v7AWpkZ5g3+5WMBWx\nXSblNkV2dypwV5WCi45vz97J26c4Mx4SPbOLGSWJ1V4lHS+ScCqknBIps0TcKGOJwCpAzUVWPcyy\nj7IFQkvsgka6ktwiHYgX//xY/A/No4+4lsqqnBNRWsxareaWeYmr8Yhxc9atI767mLYPazRPIKYs\nalkL7MD6JVxBw4I8B0pJ3Kim6XlFdAzGnu7j5hV/RMc1B3EMj/ABE8OF0VcqFi0e4S/77mGt7fH4\n0jBxWeGdQ78NWhxV2fhMKBRDfG7n9TiPx8ktdRGOIr8oWD9RlWwd7kD5An2zT8NmC6uoscqB4G/a\n6uPtTvJLWz9M73VDXJvey2OT/UE2l4TGF2ab2p5qVzGg0G7gh0D3lKj4gt72KSzps/upBbz9hme4\n0jmrr1fnbJmfMT4bhRD/BXyHoKAhAFrrb51qYF341HnZoiVMrTKo9lXQnsScsLCKgqatx140lCUY\nvc1FGJqwErz+VRu596m1WEpgpyp4ByJkF4FZktgFRa7H4HVveYK/an2MmAwBcGd0mOdLnTxp9nJw\nSyvS00yuEfxw6ZfoswKT/YBZ4rVNWwm/wuXhx1aQX1XljvSz/KwSJaMifHfyZjY+swizJHG7XP72\ninv5cuZKvrLzKiqDcQgrKmlFNFnmSyPXEbOqdMUyDEfbUCFFU7REeyTHk08tIbEH9kc62BNRICEi\nwMwbmKMmtQZFtdlHloPukKXOw3foR8VknM758CXWGLMUVPC9qnOQim9hCkXUqBGSLlFZJSR8pq6A\npu/XEBUX4TpIV89lCcUPeIBJdqmPchSyIk9/XS4RtDzaEgWQ25liJprE7ity0IkE360qSOwWTN3X\nSblFo5eVePOS5/jt9CMstqIEPSBsXhP2AYuHbv4Ur37kQzxzoIs1nQdO2+WVtMq8tuMFPr/rJvIH\nQxhNOhC3pcOKTngCNRkoDpF0yaz0SHTkybzYgFGV1BKKxC5Jw3ZNeUMHX3pNJ/EFOWRVEB6VSPdo\n0aOsoJ2JssDOa3J9gavVD2lqTR6x1gIL4gXyVYdlyTH+R9tPmOoXdJgCS4TP+Teo87InAZSA2454\nTwN14VPn8sMLCWqJwDpzw+s2o7RgW6aFg7oRLymZME3SW/yjrD/j6wTdHdO8pXMz705uISltNvQt\nwBA66Dyd70WUDNyopJYwuOXdR4seV/vcFN5DTZvsjTQxotoYfZXH39x0N89UO9hcU2ws9vHw2CKm\nH2yntLyC4Qna22f42+23YxmKdKRI1TdJ9c2QyUYR0zZ/vfWN9DdNcWXHEKpd8sS+XszxMMVciHzc\nQQrF3pkmwuMSLyzZJ1rZ56SR6SpTqx3QgdjREmoJjbI0tdRsXNFx6q6cNbNZXGYpmLNh0TSG0HOp\n2EFRQkmDLBGXgq7VI+hyBaEUfsREWYfrASEgftDDqBmU2gXlvhoyO/9PVVoGbje1LwpWEIukQorM\nKp/Onil0OYS7JcmPIksYqST5h+57j4lxWWDG+NhV3+ETu1/D1rF21rQdOGWBxJlqhL25Jg5OJ7Ay\nklqHiyoZx/3958TajIUACvuS4Gi8qEJbmtxAsIwzaRLbD5VsAw2DUE1BqVWSW+Sjoz7CVAhD057O\ncmBfmnhbHq9mUi3aXL9kNxuGFtASL/CvA19jp9vENc4UaSNKS9279XNhPhZF11r/xtmOnf9nkzp1\njmBqhUFloAIFi/CwwYO7FuNnLYyigTQ12tbU0j7lxkNl84MLkj2Q45+WfI0r7BAQBeChK+5icw32\n1FrI1sIMTTVQmonTfcMQf9e2EUOE2O0WKGqTvx56I3szjWR3NAZuIUfT1j3Nj2ZWcKCUDOqkeBYt\nkTyx26uYUjH0VD8HGppo7szQEcuStCtINP3xSX68azXhCUmtmGBbr0l/6yT7Jhsxd0bQUkPGZt90\nByruYU5aGFFw4yoINi4dduEgDrup9IU62jWBYUJqlCmIL55hRXr0qEVybojvTa3gc6M38LYrnglW\nraeTHX8ew9hn0fysCjKnjiiGGJ5SaCmptBmopIfMmghPzAU1z0eEL+Z+D1mWoCHan6UtmuOq5kEe\neGw9hf1Jnio53N2wgg+l9h8zxy/Fprg7nuGZPQvxWuWcu/N4+FoghWKqGMHNO9DunpmInN3UZlGi\nrOCF05enY02OXdvbMcqS5DsOMpJJ8KEVP+E3EkPI2Z2vqj2mVY1dAwn6rRx73ARLrBwuILsgKiQp\nI8piq8KhY67Oz4FTZKFeaggh/h+t9d8JIT7NcdZca33KFLW68Knz8kAElh4tQbsSq7FCJSnRkw5G\ncwWr2aeSCSHzxmx20OHg1PErJX+z6t5Z0XMYX2u2VTvYXW1lqhihOhUmVoAb0rt5/9CN5D2HvZkm\nmqMFctUQpYpDz+qDABx4rJOxXWmm0jHWdA/PWT58LeiKZLCEz36rH5Rgcm8jmXwae0mORU2T7JpK\nk9gpqaYCt4CeDrE904lRkqieKmLamrszl3kT5cymgP88mI3tkVWB316jsT/PoobJ2e0n5r6zJX1G\nRlOEtzvc98J1lNeUcN4awc95qAaFFwosdC/t/xWZUFiPC8ZuFBjtJdSBCNIVKFPPK9fXidCOpiuZ\npSuS4S0Nz/Bw4eogw2oqwr/ar+QVV+7kSufo+jWGkPzPBffwhqHfZcdUMyubR05Y4PD5yTakAPe5\nBmQ8iHM7k05H0hVoQ+O21ehonyFuV2mP5Bgrx0nsMCm3aCzps6b9AC1mjh1ujRV24KaKCJuItOky\nFRBjwexznTrnyKGA5o1nO0Fd+NR5WVBukkyt9WnsnsbyDd7a9xxXhIf4s01vpiFWZlnjGM9YXZRm\nGtCGppLWxIeglJa86fYneVssd9R8M36JPxt9NQ/fvQ7hB9WH6XUpLK/yw5Gl9MRnMIViSeM4UijS\noQK9iWmmqxFuSu/kMw3tRAcNSn6YjVOLiHQU6G2cxvUNHtm8FGvGIDWlKRZkkPptQG1bghf9RJBd\nNHBEzE1NIAhEnchYl84FP2ivhKgJ/LjiVYt3UFXmXJuJQ6IHYKISwxizqbQoVNTHHA4jaxA+aFJb\nWibbH6Zxm5qrbaQPd1zGKmpaf2pQTsfILXdBC6yMEbTEmMfWHwBtaBJ2hYcPLERpgVGB6Ghgwcnl\nEvxO6N3884qvsN6xjhrXZVjc0L+bnZnmE86ddx2qrkV5MI7qriFzJqddtk2Divok23P0p6aImDUM\nocnWQvx5+w+4J38FX8v1UEsKdrzQxfKVg3x2+EZG83H+ZeVXuTZU91nNH8S8Cm7WWt87+/yFs52j\nLnzqXFIcCgp1IwI3JghPqlMWBPTCglw/NHTmWNN8kI+0/Yg+0yAibaLrvs7nRl7JTDXCKzv3sNHu\nZmwohZWzUCbYbx3nf7Q+iqttxvwyj1U62VTsYaIWZ/NkB6VlVYShuHFgF3tzTYw+3sHBWhOTDTHa\nUzlaInlCRtCcsuIbjOQSbLa7aHlKkBkI1ltWBJXdCV7cH8eoCiwguWqKfDE9+72C2Btmr20nzWS6\nVK7zGoyKCKwvjoaYi6vlUaIHDvfVylTCgUhprkLOInJQULmugD8UIZ3Kk19dozKaIDp+/DRoq6Sx\nBn2UY1FeXUYVJH5UBVYwW89lZM03jKLkmYeX4Duae4fX0pU9/P0Tgz75H6Z518z7+eYN/8Ya53Cq\nU0TabJ1sJ5OL0J+cPGZeXwuytTCV3QliBwWFbvOMBLNQEGqscG37fjK1MJZQvLJhBzeF96CAf7n/\nNpIWVNo9hCsYycdZkR7Flj7vfvy3eOeKjXy0eVM9JX2+cKmcVy4SdeFT59JAQLbPIL+iRmSnzfo3\nb2HjSDcz+RDGQYeWp09c9r7UKrGXZPnkqru4xnFxjsgIeW2kyo1932frbCBnk72GB43FjI+1UWwz\nuLpxlI8M38pgMTXXFqAjkqWqDFY0jeI3jlFTJrekXuAb1aso7tcoy8QrGow9H+NARBNemqE/Nc32\n8RaUEjy5t5dUSMzFRByZHq0sjRYwtSeFTKkzcjtcSqiwwsqbhMegcEOZa3v2HyN24LC7K1sOoVuq\nGEMhUruhcFue1mSB4gNR9OZmeEsONybwMyfu6SS0pmGnT/SAQ36BxB7IkN/VgNlcxhuLgDh/6e8X\nCy0Dd6ZordCcLOKGmw5X3NYQH/IxyyE+vuhWvtjz8FFj/3Lpd/nE/ltP6ObKVx2kB4UFp04xfylW\nQeIORhluaWCqHOFPF32f14ZLlLXJTc/+Gs0boZISYGhEWZJ7sQnv+gkSdplkoshXnr6G5DUl/qhx\n99lsljp1Lijz9LRb5+VGvsug4bYRlvUdpLTAw5YehZEY1y7cy4rr9nDwNUEdnZeiTPBuyPKrA0+x\nzq7gCOuYZSLSJi5cflpcyhc3XMfwjhZqPVVKnZqH9y1ke6aF9kg2qDXjlCj71lEX8bDhMmCPsvnF\nniAOxQQE1FJBpkvlhQae29pL7UAUvSdKNFZhar2HlzjWeqFlMFb4Yt6KHgQYBYNayqfxF4ZZ3T2M\nY5y4GVPVNymXbczBEOFRgRsVVKfDDCQnyN5UYXKdxvlRglKHQpkcFeNzJIfcX3ZR0fSCh36gkXB/\njlgkKOHhtJcwSyJomTHPMPaEmZyKk1ksj7HMhCcVT9+7ko9P9x/1/lJrkpFs4pju9QAF12FssPGw\n4DnNTSJ8gnYgV2Txo4q904388cL7eEOkwja3yu1bfxnz602YFY0XA2YtbX4k2NcNobmieYTVi4b4\n5uBa7sy1nMlmqPPzQp+nx0VCCGEIIT58tuPn66m3zsuMUpvmX5d8lRuadmOlKvz4sdUYJckTmxaz\nedsCwukS49dq1EtslMoSdDVk+d3UlrnU8iPxteKhsuSOu/6Auz59G/EXbVCCdDqPMjW1mRBT+SiD\n+UaytWPHZ2shnhjq5TuZK2l8xgiEVuJwFo2WQbVg4Qq0AN/RFPclkYXjpwvPd1RYoWIe0oNkTxYp\n9EkrCBtCM12NoCZCGBVBaEaTftMw//3aT/LRjvv4zLVf5PprX6DcGrjMKqlTn5K0CLrBxw74xL6R\nQP+wiaaF05imjzJm21rMs03vRTW6bMCyPCPXyaMKJgJED2o+/ehrGPQKc+81SknYdhkpJY9atuqb\nPPfUQsyMMdc/65To4LcVvkBEPT626h5QUNqb4MNPvIPVT72Lt371I/hfasHJ+0GCgA2iFvxeRkmy\nN9c4N12TU2RV0wif3nkze93CiT61zqXCPBM+WmsfeNfZjq+7uupcEpglgY9guJoK+ggx27agJhA1\ng2ophtFaodARITF4WHjkuyUf7n7kuKKnql0+Mb2cLflO/Jgis0SgYh7LBg7Q6JTY9mKaUodJrRBl\nfCbOmAn22hkcy2N9yyDj1Rh90SmyqTA/PrgEZQnyPQLhHecInw30natePM8uvKdEBM1HIwdNSleU\n8ToVncksjU7xlEOnSlGcaUm53aO62OXTC785l/mzwPS5qvt+fv91gWXtwcl1xIc5re0nFJhlTeyA\nT/bBNAhovWWUUs0iuztFw6JppkeSyOL8iDORJYNa2EInPLL9Fg07D+/nTlaRftLkn9ffwN+2bgJg\nQmmaowXSoaOFxXQ1glDiGPF0IpSjMIoG0ZYiuhlquxP8xdY7aHrWIDSj8BwH6TkkZgsUaiGoxiXl\nHncuSxINYxNJlqbGgzkRKC2YPtDA13vX8sdNO8/LNqpT5wgeFUL8E/BfwNyJSGv9zKkG1oVPnYuO\nNiC3wKDYFTSRTO6EyIjmk6O38NhQH3JfGC+p5notHcLL2uRWuDhZEycbxMeUOhS3hkeAyNxyJVVj\nY83mT3e8g5FtLST7Z2jqnaEpUkQKTcyqclvjVl6wl5HYq5i6QlBtCu52q/uTFGuC70/FMYcdnrE1\nVkFSW1RG9Gr8mB+0OrjMUI7CLBj4Ntw8sJNnxztpDp36Tt7XgnLNws6Cm5B87vYvHJOhlJRh/rDt\nh7zpoQ+i2z0q+w1CMz5anr56TO7x8R3BwZ3NhMYNVIdHIlQln6gixqJ4cY029OF2E5doMKeYtBEC\n3JhmcrVBZEQTmQ34drKK//7GK7jjt57h+pDE14LJUvQo4fPMaBe5mQgipE4d76QDMatimq7VIwyO\nNqJ9QcsWYGsSOx987lzM0RHUEmI2pe/QikMyWTpqGYnGTNT4tw038Ye3b7+sOqzPKzTzKqvrCNbM\nPv/1Ee9p4NWnGlgXPnUuLgIO3gQ3Xb2Fh7YsRZcMZlaCURI8uGEFOuxD2kPYChIKJpzA8qNAVmTg\napm9blYaJK9/xTOkjMOiZ9Iv8gsvvJuKF3Sh7l4+Sls0hy09DKEp+xZvSm/G1QZGBZQRuKgQQWq0\nUIDQGKNOUB/H1ni+hgkHFTqifcJlgrYCN17DVhMtodCrmKjGWNk8ctpzFGfChGcbjzYaJeBY69wK\nO8z6gb089/2lTNxYo+M+84RBzifCqGo6HwRlKrywQa7iEI9WqCz3WZKe4vnBdsx9IdwFVchal2Yg\n9OwquQmNSrj4tkV4Koi9kb4msU/xmbGbub7nYSZUhMnJODSOATBSSlDcnUQanFTYaSsQgKFxSegV\nk2R2NjL8XButT4PhaoR/igajAnJLfKxYDT8fXEKUpbHMowspulpiWj5CaBSa+WF3uzyZp5WbX3W2\nYy+vs3idnzu+LVi/bictTh5ZMNBRj85lY/RfO4hI1cAXXL9yJ+sH9nJ1/34WrBqhZWASoxpcEYyC\nxCwHR2m+Fz7Q/BAQWHkerSh+b/CNFKo2i1MTLGscoy8xRfiI4oFhw+XV4f38866bcXIKbYDfeHS/\nI23MZl/J2f5Fs5V252vK9NmiLY2sBgXsSh2a8g0FoguzmMI/YSbRSxkqpMAXCAXJ/hlWWPYJl/3U\ngnspd3tEkmWy/RLfOYvtrUG6mpanFeEvpCg9nWZF6ygf7HyAhoYibk+VpQtGocEN4lqSHso5dSfx\ni44GmTVRtmbkekGxLThVm2XN85NtZFWZZ8q9GFaw7lXfZOemboyyOL7omY3BUI7CbimhpcaLaDK7\nGmncImh/VGNW9Emb+B6JWZC42cPp9c6kZGIwdcxyyWgZt2Ly9Jk1kq9T55QIIVqFEP8hhPjB7Ovl\nQojfPJ2x5yR8hBCNQogfCSF2zj4fu+cHyzUIIe4WQmwTQrwohLjuXD63zvzFqGq2fG8pm6a7UEmP\nRLrIQHKCd3Zs4OZFOwmNWDy2K8heCRsuvfFpFqfGaVs7SvOSSbSEiSuDKs1+CELC59GK4tf2vp5P\nj9yCKX1Wtxw8Yf+imWqEr+WuYHI8gVBBDSDkPLzduRgISOwSONMGXkTTmCiyqmWEpF05o2mMvEE1\nrWiL50/q7mgxorzvFT+lWrGprCpTbjr705NQgZUkOqTZ9q0lfORz70Pdn4acxdvbN2LaHmYxEAmR\n1uJcXJYKn3nq94VEG4FYyQ5o8h1BLR51X5pXbnwvn995HYl44F6q+CZI8F/S1Vz4s+I9olBhhZk3\nqE6FaX1CkH5O0fGwJpQ5Q+GnAwutEfPQRuDuqrQoOvqOricUNlzKNQtzwkaKS1Bc1jnMRQxuFkK8\nVgixXQixSwjxJ+ew1ncC9wMds693AL9/OgPP1eLzJ8ADWusB4IHZ18fjk8B9WuulwGoOl5yuc5kg\ndJCRVWqWeFHN4HQKUTbIDyeoKpO3xvbzf7X+hEpXjY6WDFtG29mXD7JExstxIlaN3uQ0NFeRVYEb\nEUgXfmPbr/I/9ryFkOHNWXaOh68FMbPGlsEOPv/l12IfsMgtMMgtVMjssSnwlzOyKtC2xihIyq2C\nhmvGMMqCzlj2lA0xX0rYDKxpfqPLn/X89ymXf38qiEsMR6qU2jXlxnM7RYWnFcm9PqntPijAF/z9\nC7dibY7hLyzzvqsfYW37AYSCaG+WVEcWFQ2yllTkiO96PjNXDs0jgpYQKhSIEtXgIloraDuwvBwq\ndyCrEiQUFmh8WxAZ9ylva8DzDJqjRfblmnh2Vw+o2UrWetY1VhMYVYEKK8LpErHdJk1bNN33BZaj\nE9XFOh1qDYoruocRjTWcKYkO+cwUApezrwW+FoyVExT2JmlYPkWTrJt86gRp6MA/A68DlgPvEkIs\nP8vp0lrrrxMc2WitPThJ47ojONcYnzcDN8/+/QXgIeCPj1xACJEEbgR++bueIwAAIABJREFUfXbl\nakDtHD+3zjxDeFDoMcgP+DitJd42sInr1u5kwkvw1th+kjLMGlvxzO2fwhEmj1fDbKl0c3NkOzvc\nFgw0eRXEhmwQPWQsh8XrBvGVJGy6VHyTmjLmemIdwtcCSyieHuuiK5lFGDoIGP2VEQ5OJdHTIWRJ\nzvvWB+cLbWtCIxImDcqtGlbkcQyf7vUHiJhndtj6WjBWiOE3eBiOT49Z4lS9mtJGlE9e8zX+/Pm3\nUGj28A+eP1EaP+gRGxEgYpSaNaWKiSU9hgsN2BlJfibCst4RPCWpbm3ANYL9QhsaK2fgTAqqaT1X\nhFL4Ys7icdrMBlariMJI1IIYGE9y1YJBKr5JWzjPQ/sX4Vge2ZkodrRGdTQy19x0erkguUvQ9qRi\n6av2MlaJs2NLK4YXCCUVCUSbNRXEZIXGBckdEqMWw6z6QVbWGQSNn+x7vL/jYb4dWsfPnl9L/8Ix\n2iM5srUQm/d30ds+xZ79LTRuE0w1xihesA65deYZ64FdWus9AEKIuwh0xAtnMVdRCNHE7O2IEOJa\nIHs6A891b2zVWh+KchwFWo+zTB8wAfynEGI18DTwf2utj5sHK4R4P/B+ADvccI6rV+dSQdmC/JUV\nLMejI5Vl2o3y2nAJQ1SAILXZEHIuUPk1YZ/XhPcBDl3mQb6cW8EXd1+D+0gTUR+qTZrtmxbMxeBo\nS4EV3O2mO7LMZKP0tU2y52CaRR0TFPMhXpyOEnvBZvJKH3M6gVuwgyaMddETXOAtjSxJjDK4N2eJ\nmz7FkkNfYuqs583mI6Q2WuR7LbrM02tQ+apQjp6GGXL5MH7YopqUONlzd5XM9f/SEJrRtD5g8o2f\n3oZdVHhXaV638nmuiA7xdKSXLbaL0oL1LYPcv3MZnnYwKgZus4s9aiGrAjsLxW6NH1FzmX5B1pgO\n+q+ZGpRAekHMmPAD645RlFgzBtH2Cu2JHOlQAUNoHMOj7Ftc0xV0ZPdbBEpLJpuiZKshKjWLbCbC\ntOMQ3ycZKSd4cbgNoywwywIrD+VWQeSgIDylgmysC7RrN2+EDzjvoaN/Em9NgZlSmP1jTfh5C1mS\nDFkNiLJB5bYc31r3+WMaANe5tLiIwc2dwNARr4eBa85yro8A3wUWCiEeBZqBXzqdgacUPkKIHwNt\nx/nXnx35QmuthTju5jOBdcCHtNZPCiE+SeAS+4vjfZ7W+rPAZwFiqe76Fellgm8JrCGHyMoSQ5MN\nvKFt6ynTW6va5XPZfv5h46203G8TdsHvhPzaCuQsWp4QlFoE5TZQvoRqYN6fqqawcpJdpTYQmh07\nO5AliWiqUWnWCCXwRyL1yP4j0I6irXua8W3NVJo1b+5/nicnelnXOow6y6JEmVoE5UlmVvv0Lxo9\n7XERafMXC+7lN2beQ37AIr9c0XGfcU6umZciXY104ZAyiO+Fh+5ZxyPVdYSmNNOvqvAP136DbnOa\njBvm0dxiQmunaYuUyaTD5HekcJdUaG3KMlOI4G+P4zua1lVjFCoOhT1JhC8w20s0JwtkSmGKY1GE\nJ7AzkuW37aAnMs1ELXZC96whNIbwaY/kaAnnqSmTWsqAPtjc2UX2mR5SLwZd7Y2aQnqa5N4LG4Cv\njcBiVE1JEtslmeE23Daf6kgMM6zx27xgmcEoXatHuXv5l2kxohd0neqcB85fOntaCHFk1/TPzl7T\nLwTPAzcBSwhsqds5zfCdUwofrfUtJ/qfEGJMCNGutR4RQrQD48dZbBgY1lo/Ofv6bk4cC1Tn5YiA\nYofEiyq6GzL87epvscyOnHLY3YU2PvMfb6Jjn0++W1Jq02hT0dU6Q9fCDE9Vl9D+M59qowyqJ89a\nf4Qn8MIaWTgigVaAmLaDDK26nD4aDfaYSeZAK7aAam+V7blWGpwyrpanncH1UhJWBTSYWYMlyeOd\nGk5MXLoUMhHSXRmm9qZwIxInd+ECZCPjisjsKvq2QOdsPvzjX8bKGkSHBbJf8cHFD9FpzbCx1Md/\nHLiR5oYCt7Vv48npXnb2mViWT6Hi0JnMUlpZ5uB0ght69iCFppo0yDRF2D3ZRJkYS+NjDJZTZGoR\nQoZLyHApeTY1ZSLRRMwaB4tJLMNHotk92owQGiE0bt4mvs2icnWRXDVC739XqDTb+FZgXRJaH9Xd\n/nyhTJhYK3GbPPCD0g66qcbi7jFWXD/C9++9lpZHTKySYnqpJF9xKCpNPY/9smJSa33VSf5/AOg+\n4nXX7Htnw+Na63UEAggAIcQzBIaWk3Kurq7vAu8B/tfs8z0vXUBrPSqEGBJCLNFabwdew9n58+rM\nU7SA3GIPDE2mEqbJOPWFdNwv8ncvvgujCoUOg9xSD1GVOB1FDKm4PrUL7xrJgScHSG3TTK+UQYzD\nbGPQl13l5AuACiuwFcaMSWq7Zvw6xRUr97Hl2T5qyqA1nD+n+T0tscMu1lSIO1LPntHYxVaUO2/8\nD37ziV8HDbmFYGcNknvOLLj6bDBqmrZHBEYN0ArfERS7BJ/Z80omp+IkNoawWzVL147xroYNWMLn\nxe1ddPaP05eY4prEHizh84niq3l0sI91ncPk3BD7Z1Ks7xzk4dIidhWb2THVjCE1vhIsSGYwpc+C\nyAwro8MANKRLXB0aQgIT/Q5fnb6Oe19cRff3BNl+sGyPm255lgcr63CmIfz6MSafacHOCqy8xqiA\nXThxc98zZfR6Qaw3gzsZxSgY+A0ea/uG2Dbeyj/0382vvudxfm3zrzM+HqOnd4w7Op6j1Thx+YI6\nlwgXt93EBmBACNFHIHjeCfzymUwghGgjcJmFhRBrOXy2T3BkJduTcK7C538BX5/Nnd8PvH12xTqA\nz2mtXz+73IeArwghbGAP8Bvn+Ll15hFCQ8MWk8xVNd7b8+hpmb4rWjPQNMGmviR+NLi7TPRlWNg4\niRSahfY43a1T/GXTYqKjivgewcxqFfTHqlt0To0AFDQ255h2k1QaLZav2MtEOUrjomliJ+m/dbo8\n9ewAVnOZYpfPqJfk+AbhE3NjCFLJIpMTIbyFFdT+EIl9Qar6hcao6qP+btmoYWMjnQrQPuFJwYba\nSt4YXkF0SNBU0wwnGrilbRs/ywzw1EPLUBa889af8SfpDQA8UwvxW0++B2tvCNmvuaFjD+9ofJK1\ntocxa6ExMV7iAg7iokJegXueXkvzYyYIHzcGXs0k54Zwl5RY0jnCp/q+SWW5YKfbxMd2voHRvU2I\nqIezJ0Rogtlq5wK7cHobUBtBgU/fDhrqqqjHiuZRNpR68ARcuXgftvRJxUo0Sp92M8yGq7/4ku9R\nFz7zgot0ztRae0KIDxKkoRvA57XWz59i2Eu5nSBZqgv4+BHv54E/PZ0Jzkn4aK2nCCw4L33/IPD6\nI15vAk5m/qrzMqaakGSurkLVYNqLcaoL4KRf5PYnP0B1NELDwAwzB5NYHUXaEzniVhVTKK5xZshr\nRblFEB0FJ6uRFREEkFp15XMqZE0Q32Oink9jdWuya6ssEJpUqEyjUzxr99aRxLty5IcSxHcbbCl2\nQeLMhA/Ap5bdxYf0u1Aa3KkwbkRiVs6fFeN0eWlhP7OsST93+E1lCZI/DfPNR19NeErRWlVMrjL4\n4YGljFSS/Gx/P/LFGOkXFbk+wcbBBdyyaDvrHY0lji8OfK2YUmX+dvyVfPvxq2l9QmAVFbluk1pS\nIfZHyHWE6Epn2Ly7m4kFNlc6NoutCjet+gpjyz02VTuYuDrOXcNXM7izFS0U0f0m8SGF5wicnELo\nwL0nVFAfyyoqfFuQ65NUV5bwMzYYGiNr8MTGJdBQ45qle7Clx2C+kZhVo302cN0R9dIQdU6O1vr7\nwPfPYfwXgC8IId6mtf7m2cxRzzGsc8Fxcgo5Y3H7KzfxxvgW4MQWn4Kq8DfjrwTATFdY3DSBbBpH\nCj1XQ6YjlMERJkVdC9KJAelp/IQ6Oq6nzlFoCaKxis7ayFLgDim+Ic9re7fzg59cRa4zdE4ZXC+l\nM5ll38YUbgJuT245qzmudgQ3d+zkB/uWU23WFFZXST/gXNB4n7NBuprI+NFiMb5fUyk2s2UqTXNe\nIZQfVAq3wRsP87CzkMGWH9NrRo6y8hRUhWnl8f+P3sqPdywl+bMQnWMK0BTbJLlFatbqFXxeVyyD\n6NY8VhrgSifICIvJEDEJC60crp7hlZFdfCJ5Cy/OtHJApqmuruHlbJwxk2qrh3DBnjao9VZw9obQ\nUuPGFI7tUZY2IuzT1jNFqWZR2tTIk9WFmDEXL2fzT7d88SJt5ToXivnUskII8W6t9ZeBXiHER176\nf631x48z7CjqwqfOBccoK4Q26AlN0WeeOK3V1T7/c2I9396ylva2GdqjOcLG0e0kfC3YW2qi1Ogy\n7IXnshGUKWC2rsol2YPp540GHfZ51cBOHhvqg4k4k9e53HPV5/j81A3YC3NErPNXXivvOry4pwOx\nuMLyBSPcECpyNm4PQ0j+vOUx7n76Kmhxsfc7SG9+nKWdnMLJHf2eUBAZ1VQX1Sjvj/MHTW9jQXSa\nFjuPRLM130HBc9g+2kL0oSgdYwp0IPKUJaikBRgKlMCPBzcClvRpDhf4xw23sH3FVj7Z8fhRQsoS\nBivsMP/e/SjVLpfHBxym/Bif3vdq2lbl2D2TplB2aFhUIlcKUW6yiHQWSDg1Kq7J6mX7Sdhlasrk\nV1sf4w83vhdn1CS8Os97Vz/IGyJnVsm7ziXI/DikDnHozvn06mMch7rwqXMMtZik1CYwKhAb8ckt\nMPBDUFrg0f6gRPqn39MHoJoy0JKTlq2vapd7imnu2bOKge4xUqHSMaLnEEpLbt7wfl69YAfa1NTi\nkkKnQEaraN8+zdqdlxeyJhBZk5/uHkAOhQhnILQuz2cnbuK56Q7Wth8446rMJ8OWftAKZMZmh9XC\nrl7FFWcZ7hERNrF0EaUEZampjjpUGgMrX3T00rL8nBINkQmF8YBDuVmwPbOQ58P9qJDGygmMsiB6\nUJMua6R7xHcTkFkoqTbNxrEBsmRQ9UxwIGS4LOwe5/6dy3i++acnrJvjCIubwwpfZ7hl+ddwteLT\nsfVsmO7h97of4C93vImBKyYpejZ/1vs9fvPe97NLSWo1g/9cfyfXOhB9z7+xu9bCm2K766nqdS46\nWuvPzD7/1dnOURc+dY7CtwUTr6kRbyiRL4TwtoZ5z7vvR2nJ57ZcT747grxhBv1I6rQzbNyIAK2J\nyBqWOL4r6sFyjP/3++9i9brdmFKdUPQYQnOgmKC8P8797jJqTT59v72L50Y6EDUT3Lq157gIaHla\nw0aH6bcVKFpRjC0pXoyWWJicPPX4M2S6GkHkTcySwB8NY3H2AsUSBl9f+znuyl7N94dWMHWNZmXP\nQXY+0E/09MsDXVIcaQ1SZmCxNCsn3ka1qKTU42EU5Vwri+iwZGJhlI5oFkNouqIZMokwfz30Ru5e\n+OOTfr4hJEkRFA79q+bnoTmILw0t+RY1bbDQmqHXjPBHt92LFJpbIzvos4Ib7JvDipvDo5zMZV1n\nnjG/LD7nTL2G22WM0BqhNG40yNwQWjOzVHLnjf/Bd9b+O7bjUVpe4fHpfn4wsgI9EqKyrsT69kEq\nzZqRX6oyeu1pdNEWoJtO7EZ5ulrjj7a8DRX1SdoVoidpjeBrQcop8Y6bH8P3DIxEDVt6pGIlxHD4\nsjuAT4Y2NaKlimitYBUEyoTxO6p8e/1nSC2Zxg9rirXzn3Xja0GDU8ZqLZPYBXZXkUWWc+qBJ2GZ\nHeFXGp5ian8K84DD1s09hKaDfXi+Iz0wKyf+HoVOg8wSEK6YEz1aQrlVk4qUj1q2M55l81AXu93C\nWa3LzWHFbRGXhVYMQ0h+p+EA708enBM9dV5+CH3+HvOFuvC5jHEjkumlJjPLBMU2iW9L/GUFGmSF\n7xeXsaBxBl0y2fTsQvbvacEsCtRYiIf3LcRt9FjUNoHX6DFyi0ep5cS7UmhGIWZsOq2Z4/7/29kr\nKYzFWL148LTWuy86RcyoEnsiDAfCPLJ1CSPbW1D11hOHEcGFMp3Kk0qUqLT6TLy2yt+v/wbfza/G\nNj0WrhmmP3n+gpkPobSk4DroPVGm1yjaGnLs9c49DiQkNKkFM8iFBUIdRXL9imrcoJyW+PbL09Ln\n24JCl8aNB4U55xAavzXIcDySmFXFq5j87u53UNXHt5rWqXO5U3d1XcbUYoLYTeMUKg65lghuwsKr\nWPzR7l+k6M5aAiyFqEhEWeLGA2HhD0WQEnYMthFqqGAYiurtZXI7ErRuUMfUWREKVEixxBrnpfWl\n7sy18NXNV9PWM0XKKZ1ynQ8UG3h8bz/GrjDhWU/bXCbXy/Pad3akqwipyWxsRigBjT5CwP+37fW0\nx/P0xGdwjAuTEx41q4yV47hJH3vaoOyenxTnBWaML6+6k2/n1rKt2MoTXi/TtShvuHUDP/3P9cSH\nvQtSsfjnhoCplQKv0cPMmEeVaZCuIJyo0BXNHNVSxJI+/QvG2fFCF4/3ONwcnmcxUHV+Ppy/lhUX\nnONlch3J6WR11S0+lynltCS7WFOoOCgl+JWrn6Dc7qHLBrs2dzH6fAsH9qQRBfMY95E2CCwKMxa1\n4SjlfXGKUxGcxTmmlxnHCBAtwUpWj6kN83ytzL/vu4F1/YMMNEycdH1NoegNT9Efn0IpQc/1Q7i3\nZFGR+on9eJiWT+LhMA07NNUmH9lUI7QliOloDhUumOgByLsh9o01ER4xaX5WUfMMFprh8zL3MjvC\nHze9CIAajoCAezatoRY/T13HLxG0AZlFBrW0j6jIY2pTCU9QyIRx9bGn8PZIjpWr9vPj/IqLtbp1\n5jv6PD0uDvFTPE5J3eJzmVLoBj/p8y9rvkKTLDPhR/l69gbiK6eYGUyBK+Y6Tp8SEVhdSuUYRkxT\napZEJtTcgSAUeBMh9rkNLLYC83tVu/zrxM0sbRg/aRNMiabRLlJVJg9PLGL/s51oW7NbplGTTj11\nfRbhg2quYToe3lQYfyiCWYHMHUXuuvrzfC+3hi9N34B9Ee7sHMPj5oU7eWByJaPXSj625IenbEh7\nJhhCsmmsE7/Jpbdrkv3b2oLGmGJWc78MPJ75LgOuy8B4FOHJo28mdHAz0dE+g9IS4yUplpb0abBL\n3PX8VfxB05OkjNOq4l/nMmY+xeecSzbXIeoWn8sUZcHNq7ZxvaNYYYdZ6xR5/W0b6EnOcO2aHWdl\n+RS+QDmaUrtgZsCYC3oWSpPaKvmvyWvmlv1avpPnM20nnMtVBjPVCI7hsbfYxPe2rWTvC+1IH6QL\neixUFz1HIqCvc5Kl7eN0LJzAmZJMrlN8c/1ncbXBfw+uoH1gggXJzAVdDV8LfC2YqMQg4dGz9gAh\nef5jTf502X0s6Rkl5ZRYunKIaqMiM2Cg3j9BOT2/T2vVhCS31MPzDIz8sRZUJCSWTBOzaicsQTBZ\niZH+vsMtm379gq9vnTo/D4QQISHE7woh/kUI8flDj9MZO7/PEHXOGulCo1WcuxN/sWYzWkmQtCso\nxBnV6Xkp1Saf5lsOMLUyOGNrITCq8NxkBwDP1SrcOfgKeuPTx7X2uMqgpgw27+7mx7uW8PTWfuxd\nYaQr8B0duNrqzCFUYAHYP95IzTcYnUriRTVdS8b5+OitfOC5X8GQmr7E9GnFUZ0rm8Y62f7gQrQr\nOfBoF18du4YR7+yyjE7EO+Mz3LPkO9yWfoFliVGsgsAPQaYYJjsAXnj+iuLpVZpEWx61I3bcfV3Z\nipmDScLmyQXl1CpBT/L4CQV16hzF/HJ1HeJLQBtB766fEvTuOq3OynVX12VKbBAeHeun0PoYMRni\nPydvIFcLkdFhdm7qPqe5hScYeq4dP+2T7zaJD/tUU4Jb2nfx0YkV3HXvjbSvH8HXYi7uJ+86eMog\n7zrs2d0KpsactHATElmVVFPHBk3XCfDDivhuk9gTIWacBehbK9TSPsOjKdLhAle2DV+0dTGEJh6q\nMh7RhIasoBifU6TROLd09uPhCIt3JXax5snXYoRBt5fRB2LgaDxHYJbnkf1+lkpKgtDkhxOI8PHX\nX/iCVPfMSUXsovgEe/qbeO6phXyx5Vl+LXH+azXVeZkwz1LRj2CR1vqXhBBv1lp/QQjxVeCR0xlY\nt/hcpjhZxcSONNvdYBeYqMQIGS4l10bPpoVr+/DRIPxZy4KtA9O7CATOob8RHKX4tQRZlmRXuZQb\nJZFxxT3br+CbX70JL6LpimUwhGZfvpG9uSae2bSQ5x/vZ/+mDsyMicyZKFsjKzI4MOui5yiEz1yf\nMiyNMx3UZJpaBb+/7icYRYk15LB7On3R1y0VKuM1uViFIEh3cWT0wjav1ALVXOOavn2k+mZAzrpb\nFxscvDGoXzRfmLzB5aprd5Dum547Do9ES0DCsqaTN3wteg5uzcTKSRbbYxdobevU+blyyOSZEUKs\nBJJAy+kMrAufyxTpQ+p5wZ/seRszfonf63wAUyryFQfhCeyMJDwctJrQjTX8mMJP+FjpMiqkiPTk\niC+eoXnxJDRVSfRlsDMSFVJzF2ShQJQlMys0QoGxNwzXZBlYM8REOcZzE+0MbW7nwKb2ufggbYCy\n5+ftx8VCWxrRUaFryTiqwcWaMBEaRm6E+9/+v/m15DbC/Tl8B9TPIU01Vw3R3JZF2bDuvc/xW8lt\nF+yzYsLh72/4OrGGEtunm+lOZIl0FlA2vO4dj/Onr/0O41fKY+NkLkUEWOMWcbPKxFjyuDFs2lbo\nsM9Y+eTJKwpBWzqLsSZ70lYxdeoA89XV9VkhRAr4C+C7wAvA353OwHl0L1TnvKIhPKmY+kYXn/jA\n1bwhsQkpNEoLIqOS6EFFOS3RUQ9cyZLFB5BCk7Ar1NoNlJYk7DK5Wph0pEhzqMDEq7MkrAqD+RQH\ndzdDVWDlJF5U40YEoUnBVR372TDaTX40jpkx0LZGS/2yyMS5GGgZWHq0FrymbTtfmb4as+ww8QqX\nj954DzUt+UGxg7Vtw0ynZrDlhUtbPx67s2mk0EwMpTCaFVk3xKemV/NHTS+csF3JuWAIydtiOdat\n/Xd+UlrEgDPKfYkruGvoFXzrp9egUy6is4IybC7ypjgjajFJvlfgd5b52WA/zrA1VzdrDg2YmmhD\nmaRdPu48h9g208Lk5haUrfnD6Nt5cOU3z2tmXZ2XGfPw/Ku1/tzsnz8F+s9kbF34XOZExxTfufMm\nvnXjanpSM1S2NhCf0bS9by8f6Q56dH3ouXfS6JTmar8c2UfryDiD5lAQwDrQMMHAlRNkayEmyzF8\nLTjopMHUPLRrAMYdiPooRx+TplvnJGjA0GArzF1h7ixeT3jIotztghJ87Ok30Nc2SdSs0eQU536P\ni8noTByxM4qMa6JDkg2pPg50JPn9xi0XRPgcos+K8ZvJUT6b7eDuH1xPeEmOpliJ4Z0tiIqg0ClJ\n7PfRcjae4RLb17wwOFdN8ws9z3P/8DISr8iyZ1cbshyIFRVWyJhLa2OerngmaAJ7ElKhMuMhTXKb\nYM2Nw3XRU+dlhxDCAd4G9HKEltFa//WpxtaFz2WANsANS7wwuHGBsqDSpImMBh3YzZJG/aiB59dE\nsUyYWu/xwdZn+aeDr8EUilUtI5in2bnbVQaZWlCsTgrNyFQSaajAqWop4k+FCU0pys0WVkFTahVU\nmxUq4YEvzqx+0OXGrEhMP2oRmvHRWySj12hkwcAqCJp6J+mKBunqJ6uNdCHpaMwx2BBG+EFwcXKT\nTbKvckFFz5F8d2w1Rk3QFCsxkJyg2GMxPdxALSnJ9RpUr8tjPh0nuce/pCxAlbTgL5bezx3RIB7n\nQKWBPVYLlAM3nfAFiXiZXCmEnfRPWoCy6AVV1xN9GUodFr+VfgQ4frf2OnVg3gY33wNkgaeB6pkM\nrF9hXsYEbhE4eBPIXx5H3jFF4YoK5TaFn/Qodiry/YrcQsheWyHdkcXOCNDwV4/dwcFCElMGJ9mX\nVl0+El8LxspxxspxXphspTWU5w+772ckn6DrCyatXwuRfsogniph3TaJVdLYWY2TVTS94NP+iKbl\nQYvwPgtZk9jZ2Vgha34ejeeVIzeBCNxcoUwQszF6reCKa3bRvnwcsyg4OJKi7F/AIOLTYEF8Gh32\nMSoiELYdmt/peuiiCZ8PdD3Iqlu2k684ZN0QVzSPEEqX8R3Nkrdt5/3LH6Xcqhi/SuJGL53AH2da\n82B2KRFpc11sJ2XfItZYAgHOlKTlMUFjtIRl+gzmUyedq+TZ7HhmAVXXxK2afHjX2/F1Pc6nzsuO\nLq31O7TWf6e1/odDj9MZWLf4vIwptUiqKUG4I8vo3iaEe6i1M8hicCHSAhpXTNISLVD2LKouhAct\nqmnFSK6FUr/Fa7p2MFk7ujtz0bMJGS4jpSR7x5rwCxYfu+lb3BTeT7sRQaH538vu5oNrfoeG3T7F\ndoFUEtOoMb3UoNzuEx41SG/xUKbALiiaXgiEmpaK8YiB1+ChbRA1iXAvnYvURUMELo62nikmphOo\nSYfkiyaeoxh7hebeN/0jK+ww7xu6nh/3N5FqKhA3q3jHaWNwsfCUQUfXNGMzrShT8KZbn+QNkQIX\n6x7rDZEKt/Tdxz0taRpkiRajwHDxF9lnxnh63wI21Pog4SHCPuWRMFbxHApWnUfC05qfDfUz3PYj\nes0ybaEcu600lYogOqwZe7XHTwa+yp2Za9hZOHniiikUytaYjyUwgXUrhuqurjovRx4TQqzSWm85\n04H1o+Flim8Lmn5xmIHbd1PKhZAVGWRZHbrx00GjQxVRLE5N0GCX+Wj/d8mvqJHco4jtl8iaILs7\nxc58CxJN3nUo+xbZWoiNzyziycFeJgtR3rfqUX58+z/yK/EpusxAIH10fC0f+OLvkNyrAjdbXONY\nLj2JGUoLa9z35o/zj+/9dw7cLHEjYq5Qm/BBuprWpxQNmy2i6RLm/2HvvePrusp87+/a7fSm3iVb\n7nYcl9ipTnUqPbQJnQtDGRhgChdm7uXNzJ2Wee87cCF3IEBmqEkrI3kKAAAgAElEQVSoAwkJENIT\nIM2O47gX2ZZlyeo6R6fuut4/jiI7iWNLshxLyv5+Pucj62ivvfY+Pnvv33rWs55fVfHY0u3XEV7Q\nQ0+YLEv1cd2inWi1BdwgZN6e45m3fpkleoBnTJuHdi1h+eIjzE8NnVXRA9AWHkIVEllfIrMINMVj\ns/XaiouA0HlXNMM1YZtWzS0L85DHlQv3InIq2rAOvQFeLChdrFQYXqqe1QiQYksSP4lx7bMfZ8gL\n0RIYRlNdgoOCfIPgx1d+g21WDVvSza86zWW6GiHVpi06hD5aniKLX9PL56t//xqfjc+sY3au6roE\n2CyE2COEeEEIsU0I8cJEGvoRnzmIExQICYO5CNVVOXi51w+g1hdprh6hPjyKrrgMlKKcoxf4mwt/\nzVcOvZWq7S7CUcm2S7bubAUJal5FaSpgZw2aF/fz2XkPsTHcR0IJAcciQj/NVfKrOy6hqsNFSMnQ\nChU3KEl3VGAlRmhtGeSJQjsfSfTy4xu/xtcvvpKn7l5Jaq87LsyEC+F+l76DMcLtGbJRA5F5/Xxd\npSY5d2kn256bxzPBFuZVDGMXdZxml6qQyVWbP0pzMo2hOLQ39xPXS2fUePRU2J7KzsFaMskgXT0V\nYKpoOcGvOlbwTKKVHyy+Y1wUv5aUpIfSGQINhswwLUv6ODKQws3qOBGFkUUqH3z//fSaCf7rubXE\nduvED7lnvm6UAE+lnGc0VgNLtSTJH8f45OY/o9BqIwIeRgxWbdzNncMX4ngqSaOAKwUh1caTCqan\n4ngqipCkrRCbDrfgugrCgLd/4FG+WLWVgIic4ZPxmdXM3gKG10+14evnSfI6wTUEvVe64EES2DVY\ni/Jyvx8Jyxp6qQ2NYnkapquRt8sJkR9L9BB/7138r+/fRPyQhxVXSFwyQN40yB9I8K6lz7ExtoOL\ng/ZY3sZLXbcPOzm+2/0GQoPlKylXr2JH5bEIk1RoiGS4u38VG8I/Z20gwm3Nj3HXB3fzr99/V1n8\njAUIFAdS2wWt6wfo1FyG8qly0cTXATLksvPJ+dRsleiPRelsS2JcmMNyBQXTYEl1H0HVQREeCaN0\ntg8XRXhEAxa7f7cQpcpDVJsYGY3Crhil84qcLZeRhGKw4IJODg1V4EiV9vgg7fFB9qRr6EvX4lTb\nFNwAOzL11DaOMBIPU0pHCA1Pr/KRannJOhIG10iMjMCsc4jt0SlVSwLDAjNVrneV3C1RTR0rITFr\nHTYdaiUUNikWArTWDjGYi3BeXRdH8kmaImn6zRhB1WH3Cy2oJQEBiXDhj4Pz+XGg36/a7DOnEELE\npZSjTNCe4kT4wmeOoTiSwFGNBZceoiudpCJSIFcXxOsrr+qQukTYAg+BNVbS9kguyZqqrnEX5z+J\njVD3327jW72X0VeM8b/m/5IVhknfao8mVSesGHCCR5kpbT6y7yZ6f9NMMuMiVShWl32/pCbHBU1A\ndYjpJZ43G1ikZ9CFytXhQ/zb+hHy6RTRo8emRoJpj+c6Wrlg4QGGOk+e1DmXEEWV1E7QSpJcvUq+\n2eOzKx7ja/fdgDmk02nYLK3sPWnS+WuJKiSKkLihssh1CxrBtEe+WbCu+jBVaujUOzkDhBWDXy26\nl29nmvnF0dXYhsKoFUICRkag5wx+1HU5ZqVbdj03JPkmQWi4LFZGFqp4ATBGINbtTs3DTkBmvkpu\niUVys8HCFV3s39YErqBYI3FiLk5YjFdKH1muYicdFi3s4chDLdhRlXwkgGoKDo7UIxzBI50JpO6x\nV63nXeuf5emBNmTAI9SpEevy6F8nMF2NvaV68IWPz6mYGbeRiXIn8EbKq7kkryyKcsqaPr7wmWPY\nYQV7fon/3vIbsk1Bvta5kfa6AfYONKMWBVgCdV6OqFZe/edKwcBolJ5I4iX7uTzksaHtITzkeGQn\ncYr0kfsLCTqfbaLmUPnp4AQFpRYLZbT8NTveOiBrB/niU29n1WW3skiPUK9FeWDt7VyY/TT6Q0EC\nmWMjbllSqTAKBGoKWEfmZtheeGPu9toxSxDFkTghwchKl7++7DdcHt7Ll2PXohYUhoajUHm2j/ql\nVATz9C/OYndHSWzTUS0XfVThotj+12xV14lQhcKfJrp4X7wDZSyt8Rf5ev7l0XdTXFhiZVs33dkE\ng11JlKKCEy4X3Bydr/D1D93Gz4bXcd+WlRTOt4k/GiI0dMw3ztMFrlE2/VUciVQFiv3Sp0iuXuV9\n73+AhFrg34JXk97TgGYJkErZlmWsfIMoCqQCni5paBtEV12W37CHA99dhBVXkCrkmwR4lKM6EQcE\n/HzXKkRXiHBGEBqUOCEF4cCftz3M9eFBwHgNP22fWcnsEj63jP1cKqWcUrjbT26eY2glD3E0yIAT\nZ2Moy6qKIxRsA+GCnhPceM2T1CWz4/kgo1aI0miAG6pemRivCmXCDyxXemwptBE9xPiouFg59vUa\n0+NSl+Pl8zXFJRCyuSO9fnwfNWqEX2z4BsPXFLFi5baF6nLFuQd+uwZ2xObkVJeRVnDDHtHFIxjN\neaQuiXWoCBd6r3J4+o1f4VPJLmpVjw2rdhNbkGZJ88yJ9rxIwiixpKYPGSoXCszMV1n/lm28LXpy\nX6nXAlUoRJUgYcUgrBj8vG8N0S4PWdSIG0WWVvYSqCwiNYkb9rDiglKdy2G7gh3pOlAkuuEQvLGv\nbCQKIKDnepvln97OyDvyHH2bRd/5MLT8pVPLxVrJn6d2AHBu8xHQJN7LSjW86MuVaEtTu7yf1tgI\nSaPIV1vuZnilR+KQS3K/S+yAQrxDQSkJYokii5r6kH1BnBqLj7zntyz7s+1UfriTf3zHnVwfHhyL\nzvr4zCm+Ovbzj1PdgR/xmWMoDiT3wOd/8x7UG37Ie1NPkXWC9NQlkJkwunCZFx9ib7qa5liarR3N\naAM6V4YPcHyC8mTZbLl877EN1OSO3dBz8zxEvvwVkwrUL+4fz0dRhWRpbS937ljH2y58jlWBsnv3\nSiNIQ2WGo8tCVOxQyFxW4ua19/H1jstIZ0N4/aETehjNZuyoRE+VuLJpLwHF4R71HOSBBH1vMnni\n0ltxJTxj2tw5fBlPbFnC8mVdJE9hWfBaY7oaHoLzkod5IdKEVHWClw6yMbUTV8pXJNefbRpCo+xp\nUUB1xwXkeU1dOI0KXdkkR2U1UpXc/PCNoIBSUjBHo/QEwwSbBMGRcs7OZ9c/xAWhDrYN1TNUiuKm\nHAILcvQHU1Ruk6iWRC0KtlgaW3ItdOcSKLnjhJEsT6m1LumlNx1ncVU/IdUmawf4ZMMj1GtR/mrj\nr/nWgTcRP+wSP1weVUR6wXsmwWA8iTzXo7pmlD+OzOdn7Q8ed5a+6PE5NYJZl9xsCyG+BTQJIb72\n8j9KKT9zqh34wmcOEhryaHwM/mboAyQu6Me0NbzBAHZUcsem8xG6h8xr9CfjhBNFzll8gKrTHBmW\npF5eqaKVl6h4GiimQGqy7CitSQzVxfZU9LEq0AmjRHvdALcPXsp/r32IlrFVP5+e9zBfSr+FwmCU\n6xbt5MnRduYnh9i8YzEqvGK0PKsRUL2in/5d1eTmB9g1WofclMBKwPvOeYanSw187+hF7Omtoaky\nzbqVHUQ062wf9Ss4kkvyzqbn+OmRNQRfCOGEINud4D+DF5Nv3MTHEj1n+xBfwt/VPczqD3Ryy5br\nODhaia66LE30cl70IF6lwm3epfQdrig/FTQP4ZSnmhRTwQlKSimFQr3gnGAX92RWU7R0GAigCBhN\nJyEiSS9QUE0I90nuyayh6Or0dlUQ7VFQHMi1ekTmZ8ilw5yT6qEtNgyAgsTytPI1hcs7Y7u59aLL\nsQci6IVjBsCqJck1KciARyJYYrAY5bCTG7+OfHwmzOy6pb4R2AhcSznPZ9L4wmeuIqFqm4t1sBoR\nAVZ4uBU2FU/rY3kEAtCofethftD2ALo4PeHTpuVoWtTPUE89ekGQq1dwEg5KoTwtIBVJuhCiMZJ5\nSbv68CijToBPdLyLiyoP8B+bL6ahfgRV9cgttXiiez5Lq/vwpMCJu+P7mwsIR+AFPAq/q6Wu2+P5\n51dRqBUUFtnEt+v8cNt6VrfWUxnIc1HrwbN9uCclWwpw67bL8LoieMtKIAXKiM5IIcS/brqWqy69\nlXZ95jyQq9QIH0n0suHif2fADfFIbhlvjG1lqaHw+aMXYd5XAyscFi/uJm6U2HywBYYCeGEXqSqM\nzlfQivCdvg08dXAeblZHUXhJqqVZ5eEFPVA07v3JRRTm28T26BTqPeat7maeZpEKFDCrNbLOMUuJ\nATNK0dFZFxgCItSoEf597Z18dOS/UfWUhl6QKK7EjCuY1Q5qxKYvG8U0dWJ+oUKfOY6UchD4kRBi\nl5Ry61T24QufOUyuXiW90kHNK0SbRnnX/C3clVyLfD6BPgqFeskHmp6clsTTWjVAMlika6GFE9Gx\n6iwCcRPLDYMLGB6tyZHxaM/xOJ5KdybBD/rXE94XIL+lDpkEUeWSyyR4uj+KUlBRXp6/P8vxgh6K\nJYgdLteNcROCQoPHJy54lNuHNqIdDLI7XMu6hsNn+1BPSSxokjmcQFEk0lJR8io1z8KgVcHi9Z20\naeGzfYgnZJEeYZEOFwd3AwFc6fFQ5yLCY5EVVyoYisvFCzoozdMJqjZ9hTj7jtRgFzWeeWwpgVGB\nG5I47SXoDeAFJcIUaAWB6yk467KUcgaBLoPAFYO8sXE3Bc/gQK4K4CX1l2xPpXMkxQcXPE2NeiyR\n/6qQyxPXf4V3NH+I/nQUeoJ4IY9Fi3s4NFiB6yp8/bw7iCu+J5fPJJmldXymKnrAFz5zktE2lewC\nFzUnUUrlEH1lpMCmkVa+s+a7VJ9nkpUaEeHQooU40dL0yeJKyYp4D12VSdJWHGF42D0RjIyCXJKj\nrWqYqH5iH7mA6rC4qp+d/XXkWxzQPJYv6KY+NMqWb68k16Jhx2fhlfkyhEe5lECwvORbBj3UUQ3h\nSYoVCsPnePyPq+/myvB+vq1uREqwzHI13rPtwXUqWmIjdOnVSEeAK4gcVtCKLol9gsbLM6fewQzB\nQxIJWtghgXAFhwdTpBoLRDSXoGpTcnUaIhnalw3y5HfXkG+WNGzsYmWym65iim1GAwtrBjg0kqIy\nUiCiW6RLITLPxHDCYDoqu7O1RHWTykD+Ff2XXA3HVdgY3cnLjUWbtCgPr7yTR0pxhpwoN//+rWys\n3cW7F24lLAQpJeRbU/hMjdl/e50UvvCZY+RrFZTLhzFMHduKgAQv6tIYyTBshnm2OJ9PJbumvd+w\nYvD5qqdIO2GGq8Js+uNijHlZPnjV0/RbMTpy1SeM9rxIULVZ13CYfI2BobiEVJtP1DzC+xrPJbXL\nY+hcgWvMvCTZieKFXfSESV0qy3A+TPFQDDWtEe8o/334UpMfXfpN1gd0cp6G2pLH7QpTm8piujP/\nMg2pNpGaPKWOOMISBIfLeV5D57n8bd39qGLmTHOdDF2o3Lvyu3yh8jqePtJKqSfC814TQpHUJrNU\nBAv8Y/M92FLh8egatKwgawbIuQEimsUFzYcAqKwrixpNeHy08QkerlrKY3esY7QnxpbBCA1NwzRG\nM+P5Wq4UBBSXETNMcyrNcv3EU89hxeAN4RJQ4h3XfZ2A0GbNZ+vjMx0IIT4rpfyqEOJiKeUfprIP\nf3gwh3ADgmwbpPti2C/WuxEQriigCI+KQIFv7r2EvfYrR5rTQUoN87mah3j2QCtewGNB9SD9Voyj\npQTxU6xCenFlTUSzcKRCUi+wwhCY7SW0ksQYEaiWmJ0jEwHCVFhS34+uuqys7SEyPwNCopUkR97g\n8svLvs76gI4tXb6VXoZ7OAL1JjHDxJsFas+RCgHdHve/8lTovVhw73VfZd4Myu2ZCDVqhJuqnuLO\ntf/Bey79I8saerlq/l6+sfhO7mz/FYv0CPvsaoLDkkAa+rpSdOYqXrIP21PZm67mutQ23hQeJW2H\nCPd6VDyvog3p9O6uYcvhZiKqRd4xcDyVB7cuoz8b5d/m/2xCkZuwYvgRHp/pYXZ5dX147OetU93B\nzB9K+kyYfL2CaMshhkLjkRExlj6gCokqXKqjeXrdcl7DdJPzSnx873uoeCTI4DqX/QNV1AazU/KQ\nGrYi2NJlRWsPPVXz8HRwQhLFKTvKzyZk0iaWLJAuhbixaQsLA718x7uErbuT5BoF37vydlQkX+hb\nxaAZpWO0ikXndVIVzM24Wj0nwpWCkqtTG80hVwjyL1RgJQWfv+Yelhtnp2Lz6XJN2AYCrKrZBjUv\n1rg6di6uVHB1gZ6TKAWVkqPzTHcLy2t7sVyNbV0NXLlwL9eHB1GFwfuqn+Rz81dQudPFyAn6LpQ4\npspjR9rJ98RQSoLG5f1cVb+HJXrgrJyzz+uXWXCbOZ5dQoh9QMPLTEkFIKWUK0+1A1/4zCECI5Kc\no4IjEN4xgdBeNTS+zYHOGh6pXsalwZ3T3v/DxQp6/9BIVEqEK7BMnYDi4LiTWzFmKA47R2q5Lv0e\nksEiQ+fbXLxsP5u7mzF7ImfeQHI6ESALKtlsHPdIiv9bU4uwBcaoQFcgt8zke/2XoCkuB7JVpAIF\nFif7xu1EZjpFV6djpIo/X/AwEcXi8w/chKy3saoUvtd5AYp4khsie8+KQemZ5PrwIF99y1GGHq0n\n2DJKydEI/TrO9oYEgfOG+dSqx/hEcvd4AcGLglmKLTbWYQ296BHuVimdY1EVzeMdSVKq9viL+Q/y\n9ugofiDex+fVkVLeJISoA+4H3jyVfcyOu6vPKZEq5OsFuuHgVIEQEtkXJDCssKe3htVNR6gy8uAK\nNqdboHr6hY8hXJxFBUb1EMIRuEWVUScw6ahFQHFZkurn0eeW0pu0iFQUOZJLYhb12TYywYs7KIZL\n7b0BVNNF7ofMfIXS6gLhsIm7Pcmj2kKaa0doiQ2jCjlrRA+AJwWDfXGeqF7MYw+tJJQV2OcWcXvC\n9B6u4KfGWu5013Pvsh8RnUMrjsKKwe1Lfsj3ay+gz4zz9spN3P6hDSyPH+VTFc+Mrcg6JvijSpCv\nXnkHfxV7F7I7hJuy0FWXv2h7gOBHbIKKzcUBD1/0+JwVZtl9VUrZC5wrhDCARWNv75FS2hNpP3vu\nsD4nxQ4pOKty/POqu/ntyDkcLcbZUWjELuqc19TF80cbsUwddI+31Dx/Ro7hwmCaj618gtv6r0Y4\ncPmKPbhTmJdypIKCZN3KDhZF+/n5LzbQ2RhGyZ89v6epogYdQs+HUc1yYrcVVcgttvj7NfeyKTeP\nxx9eRy4YoNOppGlxGnVKLphnD0NxiVYUeOjZFWgKFFocUmETuzeKmRLs31ePnjAZcB2ic+yZvkiP\n8I81x6xerhuvmnxiP7k3RwoE19/Bk/mFdBSqaA8Pcn04e1w5iTn2AfnMDl7b/JxpQwhxGfB94BDl\naa5mIcQHpZSPn6qtL3zmCEbOw0qXcwO+3vQ4d2Tr0YTHC6U2ntqyqFzL54jAjsKRNRVA77QfQ1QE\n6CpVEDqqUFhWImMFxy0qJouHYGPlLtYGD/ELawNqRsMLeQh7hib4CPASNsqIXn5+jd1IxJEQ0a7y\n3JwZVxi6usRXzv8pbwhneCy9BCsGbtJBHdY5WojTEh05e+cwBTwpSIRK5EUMNyARjiC3s4Kqwx7B\nAUGhTuMD73lk1iU4nymuCdtcE95JwbPQhXpWzVt9fGY5XwaukVLuARBCLALuAtaeqqEvfOYQDQ8q\n/O3ge/mPizrpy0XJ7qhEBCSxgwpmErLri7xv5TP8z6rtnInR5Q7b4uGfrUPPgtoXYE+0hvWNUy++\nt69Yy9rgIYSESLcg2z6NBzuNvJhPVVeXxqpSqY9l2bmtpWyoOiaAPF0weJXJAxterGCsclFiP78P\nnoMwVcLtmVkneqBsNms62rgglWEXkVZQTYlwJUOLHc4Pd5zlo5x5+OahPjOJ2ZZCMIb+ougBkFLu\nFUJMaNmOL3zmEIoDNZs8Rrc0E3ZB1kH6QovVF+7j4zWPsjrgERA6Zyqkvs+qwdMhs9xFyyiYJQNX\niimtTDJdjbv3nsO96grchERfN0rAU7COnHga4WwhlbL1hJEXtMZHCKk2rhSk2kZId1QQHBQgJMPv\nzPPQ+m+MRz5G3AL3Dy3HarRZt+ggo9bszH9RhSSk28dC5bZCcGhMBKkCaSo0aFlebfrHx8dnBjA7\nhc8mIcTtwA/Hfn8vsGkiDf1J5TmIVASZ+SrZNgiGLRQkD+eW0eOcuHLydNGmD3L9W58CCfPO7+KN\nS7adutGroAhJIlrC6o7gRDzi4RKWOcN0uoBgY47mVT3YC4uMlML8dd3vuDK1m+Z4BrWugKdD/w0m\nj11wGzFFMOjm+f5oFddv+wCWq9HYMIyhuNSHR8/22UyZ9sQgy9ccQmpjte8FOEHB8FKFv7zkdyzS\nfdHj4+Mz7XwS2Al8Zuy1c+y9UzLDniQ+00GhSqFQ7yFVCAUsIprJpnQLv+xaya9Xfpcq9cw8iFYa\nKl8arSPYp3KkPkFlMD+lGj4AuuJSG82y9Pxetvx8Bf1O9cyq2ixB6pJiJsiAIuFogKORGF86/GaG\nSxG6+lIwGICYZEH9AL/Nt/JMth0PwdO9LcQCFlHdJBUonO0zOS1eTF7XhAsSjEENIy0ZXCX4qzfd\nzSeS3Wf5CH18fE7FbJzqklKalPN8vjzZtr7wmWOYCYXMYg+UcqLp8JEkh+MVxI0itqPy4+ySM2JZ\nAbDfNun8XRvFdgsGIlA39X2Zrsaenlr+Ye3dbCutKBs+BihHFWYAQpbzeqrrMvDTKpJZD/lMgj4S\nOAFBuFZgrs3jHg2x/2g1vwutGLfsWFl99Cwf/fSQtQMMlSK0xYbJWCFCjTnMgzFGNpr818XfICYc\nbBnyE3h9fGY6M+O2+prhT3XNMayYQKkuIYPllURqTmV3Xw0AFzYc4sdd552Rfl3p8eW+q7ES5StI\njdnE9NKUlrNDOWnWGTX4+qHLybVI9KwYt0OYCbghDyIO9n3VBDIewgPFlghPkmsS5BbbLGvoRaoQ\n2BXiqUNt5B1jyp/HTCRrBfloy+/5h4bfYLsqcksC4QoW1Pdza99VfHTfe7i5f/UZs0jx8fHxmQq+\n8JljuEFY09IFthifjllRfxTL09jU30y6GOTf083T3q8qFD5R8wjrNuzG6NORHqflKB5QXOJ1WY5u\nraNyxQDFc4p4xpkflkgFvJiDF/LQCgJRY+KFX1lbR4nZaEGb0NBxZaQFZBtVCotM3rT6eb7Y/GvU\nkkC1QfYFef73i+jKpc74ObwW2J7KocEK/m3PRq646/MMPl5PqdpDacuz74VmHtq1pFxOIdPI/+x6\nM66cTeW2fXxeR0yXT9csihr5U11zjFC/ZNP+Nqpa0mQLAdQtMfYM1uA4KnJnjFA/ZOaHz0jfqwyN\ngOoQHBQoK4qEVHvKVYgdqbCm7ghDqRH2PzgfkSznLJ1JpCqRenkOSzgCq9bmDYt2cv++pbiOMm4F\nAiDTBuF9Kqp1TBSZcYXC+QX+etVDfDRxAFu6uFGP4B6FQh2oRYEyGyfTT4AnBZrmMtKdIJgXmFUe\nMuJwSesBnt6yEqtgsF+rZmFDP0HVxkPiT3j5+Mw8BDMrfXIiCCGagD8BNgANQBHYDtwH/EbKk4+0\nfOEzx8gshKb6Yf5x4S/YZ9bxVeMKsr0xtIyKDEsq3tbNB5KbgekvKNfhFHn8j8sJRMEcDdGXjBM3\nilNazj5QitISGUFBEumWuAGBE5le0SDVssiRugdK2UE91K2irMmgqy7zUkMUXZ2ailF6RqtQC8qx\nHCNPjBvAIiBXp5K9uMjt53+fDUEHVZSd1vWqIoMXBBAlBbO9hO3Ojcd/wTHwPIVQdYGSE0G4Aj1q\n8fBzy6jpkQhPkKvU2HOwnnNW96DMulurj4/PTEQI8R2gEbgX+FegHwhStq64DvgfQogvnqyCsy98\n5hiV2yUj6Xpui17BUCmC/VwKJelx+eUv8N6qJ8ceymemiu6jhYV4cQfZbKLYKlk7QFQ3p2TDMGoG\n+V33UubVDaK9sx/rSAVKbvpEg/BAuILE4mEa4+Wl5J0jKUaNGDe27mLAiqIKiYegPTFIbJHJ4eEU\n5pEoSAj1KoSGy4OKUlLBuirD7avu4vLQMb+lgNC5tK2DzX1NVEfyNEQy2N7cED5R3SQRKTK4oxqh\nlpew29kAxoiKnvdI7gMzpXHd1Zu4ueZJVDE76xT5+LwumF2B6H+TUm4/wfvbgf8a8+9qOdkO/Byf\nOYZqSlL7HQ58YzH5bzQSPSLxgh6Hcyn+6dAb+JehZQy6ZybZ9K3Rffz9Jb/EdctmqbWh7PhKpsnS\nFE1zWfs+uv7QRO/BStT0NGh0CcItR3rcSFm0eJ5CULVZneziwwufRE+r/OLJdWzpbeLgaCW7hmux\nPI2aUJYVdUeRFRYATliimhInKMjfkOUna29nQ/ClS/d32TYPbl3GSH+MkGajIKf8ecw0dMXFtLWx\n2j1jb7qC2AHGpwOFC5sHm7H9/B4fnxmNkNPzei14FdFz/N8tKeX+k23jC585iBQCPS9xDUF6CagF\nhZ7ROLWhLD/YtZ7rt374jIifGjXC1nwLsjNCMRPkhb6GKa9iKjgGV6Z2oRYFxpA6bcvYFVswb9lR\n2tr7SCweprS5gqpAngsj+7ltxwa0nGDVygN8+9wf8P0lP+RDbU9ScMr2AjHN5KIFB/DCLqGB8nn1\nXSj53frbWG6EUEX5csp4RX6UTfGWhz9NIFkinCoS1iy8OTbds6b2CDJlI1xAlFfyKWPaz9MFiiV4\na9NWUuqZySnz8fHxOR4hxN9NZDt/qmsOU6hWcKIOiqlglsorrM5p6GHrHxfyw3nL+Vzq0LT3+Uj3\nQtSSQEQs5GlolZ1Ha/mfu95O1AUnKsuh2NPQDdKQ4IGsKxHSbG6qf4Z/2HoDgQz8Zss5PPnCGqqO\numTa4VC6AqtJpV4N8YlkNx9JHOagU+KpYiv3DKwCpVzDp7azeo8AACAASURBVPdChV+++SvUq2EG\n3Tz/lVvIPX3n0pVOkk2HWdDaR8IoElSdORPpOR4PgbQV9KyClfJQDwQJjHp4GgysEvzpm+/nk8kd\nlKfffXx8Ziyza6rrZGyeyEa+8JnDmBWgmOUohDMcpLsqMb7q6j/3Xcin1nVMe3G5t7Ru467SWoKG\nw5KqfgqOQUyfvFXGqqZuNtstWDEVxRJ4+tSvTKlKWhf1EtEtFCHZfqiB+/SVRB+IEhpyiXUrCLcs\nTGKdHqNKJR/q+jihuhxmycBLG1yyZhf9xRh7dzRB1EGqIJoLdDlJPrvvWmKGyYGhShTFI2zYzJt3\nhMpAfs5FeV7O+cs62FZRD4djaAUBAoaXqqy/fCd/mdrn5/b4+MwG5ojwkVL+aiLb+cJnDmNkwFlg\n4uY0hK0gpaAvG0MqkB8NUZAWCRGa1j4/kHyGu1hL/kCCgUiB5ik4jtueSlUgzxuWbueB/euwU+64\n+/ekEYAURHQLQ3E4lK6g/j6D/eElhDLl3JPjc69VS5La45LaA8evfOt4bBlmXBCqFhQXO+RWlcBW\nufXwVTRHR1CFpLLhpdOHc1H02J5KydUoOAaa4tE5kqI5lWZvNoh+MEDPBsG33vxNrgq5+DPpPj4+\nE0UI8U7g74ClwHop5QkNR4UQt3ISqSal/Myp+vKFzxwmMCIpCEnrvAFGCiEGcxGs3XHsNoe7Lvk2\nCWV6RQ9ATBEoL8SIj0BmQZBFicnX8ik4On/YuYBUTRazxoUp5sZKQ0LEYUnrUaqDOR59finhTo2I\n7RLITGyI42kwskhFSCjWeijVRa5esIcnfrUaKy7ZN9xMZvEA7YmhOTmddTyuFAwUo1xbu5Ob4i9g\nA99KXMgLmUaE6qGaEmlIthZbada20aoZBMTUi1j6+Pi8BryGicmnYDtwI/DNU2z3oiC6GFgG/Hjs\n93dSNio9Jb7wmcNIBQIBmw+1/JEn0ot4+PlliITHO85/llq1yJmo5dPjqpRqXUo1kBKSoqtPuo5P\nVDeZ39bPoe0NkLRRhnTkFIIH0vBorBthXUUnP923mrrHFfSCgxQTi8RIBUophWKTg1JUIGmxvrWT\nT1Y/yiPhVYT6BcU6Sd/+KkYbglzSfICsHZyyMetMp+Tq5GyDsGLS5Qb45Pb3UthUhVoC2eQystJD\nqyjxo8613B9chhCS2xf8mCbtzJRP8PHxmSZmgPCRUu4CEKe4P0spvze23SeBS6SUztjvtwFPTKQv\nPxY9hwkNe4TvjfP//vAdbLvtHGJ7NaSQHMxX8sHd72fNpndz2MlNa59JxeGWa39EpDmL7aroYvLh\nmpKr0xIdwQt4KAPG1ESPJolW5cmbBj/YcgHqU3G0opyw6AHI16tkFku0URUv6LGs9ShHC3EW6BI3\nKAkNSKQCwhEUBsN0F5KUXG1O+XEdT1C1sV2V//3cNbz/js/AryrR8uVImDQ8KrYouL0hYgGThkiG\nkqPzuc63YsoZZLLm4+MzV0gB8eN+j469d0p84TPHCaY9Kne4qKYk3+yhFhV29tXREM2QyYT5p96r\nseX0TdG0aFEiion3TJLCviRP97QyYk5uOXNEs3iutwkMD7fKmvQxSF2imAIhJJajUvdbneSByZ2j\nGxDkL8khVfB0yaLFPaRLIa6q3UNUCaI35gmMegSGFRCgFFR2dtZzKF1BXyF+6g5mIWkrzPLKXryS\nir5slPQSSb7FpXrJIF/Y8GvyDYJIl8LB3fVs7m0ioDrsHqhlwJ18cruPj89rxzTW8akSQmw67vWx\nl/QjxINCiO0neL1lCod9C7BFCPFdIcT3gOeAf55IQ3+q63WCkOUaNp4mKQ6HMBod5jcM8sCzK3mk\nYhPXhKdvVD7gxHHCEs+QhAMWQW1y+3aloDGRwXwhWc7xmQTCAy/g4UkFa2uKUD+o5uSFnWsI1J1R\nlBVZ2qqGaQxnmBce5GOpzUAEzyubwAZGoLTQQgwZKIMG2d4A6nJJQyQz6T5nOparsn2wHn1Ap2Cq\nCFGufq0pHrpw0Yqg58qiE2DvwTqEJrFnQBjdx8fnJEzfNToopTzvVbuRcuN0dSSl/I4Q4jfA+WNv\nfUFK2TuRtn7E5/WCLIsCGZDgCbb0NtGxq4Fw1/RbKFSoOWrX96JYgqpwHm2S013d+SRB1casckGf\nXFspoK2tn6vPf4FolyTaM3nRY0UVBtZ5KOdm+PDSpzg6GufdVU/zhcod1KgRADTNQypgZCTSUUCC\nF5SIlgIX1h2cdJ+zASkFridwoh7CGpvOk3B0MMEtv3ob8UMu4QGPWIdCIR8klCzxznM306AFzu6B\n+/j4zFVM4CgwAiwSQlw6kUa+8HmdICQ4EY9lyw/TPG+AfHcMrarIxTdu4YpQaVr7enOkwM0L7iEw\nLNi1u4m+YmxSeS8B1WHL/lZSTRnwJt5O6hK9Kc+hgzU8uHcJWmnyw5gXRY9eUyQWMnlHfAuPrv0P\nrgnbL6l5tKSmj0KNghOGQNQEATLsYBd19o7WTLrf2cCoFWBkIIZaOO62IUD0Bqh+To5XbY70u4iu\nIBtaOvhS9VP+yi4fnxnOTLCsEEK8TQhxBLgQuE8Icf8ptv8o8DhwP/D3Yz//biJ9+cLndYJiS4L9\nKkvjvSxMDBDfq2Kng+waqeP9h67m1pFWCt7k82lejW47hWdAuCZPZTA/qZVd86NDnL/4ANndFSj5\niUWkhAdqXmHjvL3EanLU3htAL0zuSvR0wfByIGlTnxrlz9sfoU0Ln9By4brqHWQ3FBlZ4aHrLvqo\nghG2aWgYnjNGpC+nPTHEhmV7kU3HhLJiC9SSQDWPfdauIZCa5MG9S+hx5/YSfx+fWY+cxtfpHIaU\nv5BSNkkpA1LKWinltado8llgHdAppbwCWA2kJ9KXn+PzOqJip8sjvRegFSSGJtHSKgHNwVAc/n3H\npRxeUMEttZvHPadOh+sindzcahHelGDLKpV1zYcnXOcm7xoMlSK4gfIwQrgTiPqMWVr89rHVhPqV\nSef1FCsURheCOj9HS0WGz7fdz3Vhk1cbG7w71oGx5td0mlV8d9NFBJZm+fiyP/Do0CKi2txM5lWE\nh+OpKKrLi5+uYkP8wEu3y8xXqF7ex2fnP0yt6o+tfHxmPLMzD68kpSwJIRBCBKSUu4UQiyfS0L8r\nvY4QHoQGPfSCxEqUR+Wd/RXk7ACKIvnZM+vYZk1PknONGuHKZbtRbGBfhM3dzRNu25NPcPiPTeg5\nMSHRI1zwApLVF+1FcQTJ/ZMTPXZYYEcFalGwpvEIdy/5yZjoeXUSSoi3RTv5yf7VRHcZeJ5gU6aV\nsGbN2To+qpBYngoHIyhjlbTVksDIHbtrFisUiu0muuKxMXzkjBTJ9PHx8QGOCCGSwC+BB4QQdwOd\nE2noR3xep2h5iReUyL4QW90mvKKGmlVZpE9fDZqLEvt5yliJnhPkRyee4CqExGqyUAeNCW0vNZAB\nj2f3zKNyP5MavXi6oP9qG+kI3rRqKx+teoKoMjF/qZv7NhD6TZxci8QeCTJaF6Q6OL11kWYaYc1C\nXZDD7A8jLIGRKU+jAmSbVLLri7xp6Xb+ue4JokrkLB+tj4/PqRDMmMrNk0JK+baxf/6dEOIRIAH8\ndiJt/YjP6xQjJzGGFYLN2fKy5KJC86oefpZr4PESuHKKPhHHcVHoAE1XHQYJetiecD2fikABPIEX\nPvUxCA+8oMfqJYcIdhqEhid+3COLVPrWA1mNSEWRv6l5hJXGxESPKW12pesYbQcrWe5zsqvXZjqG\n4mB7Kh2ZKnYN19KTT6ALj0taDiAND+EIjIzE0yAzXyX6hl6+c/F3+FrDsxMWjz4+PjOAGZDjMxmE\nEKoQYvf44Uv5mJTyHinlhBJV/YjP6xTVkhhpBVQPfW8IOyoZzoe5d/BcDqYreWPzdj5Xufm0piqW\nGmEcqRDqlxQGggykIqQChVO26yvGiFfmyXYmxnN3Xg036oLhse2PC6g4JCd88RUrFYr1Hl7UYd2S\ng3y77V4SysStFTRUPtXyMF8Yfjv2UAg1bhHWpi85/GxjeyoZK0hUN7l5wT0EhU2vk+SpXDsvjDQS\nShVx+2OolmRwlcKfvPEx/rbqeX8Fl4+PzxlHSukKIfYIIVqklIcn2/60Ij5CiAohxANCiH1jP09Y\nLloI8RdCiB1jFRrvEkL4w8EZQOKgS+J7cRIdHl7Qo7AnyeaDLUQMi+/+4RKGp2FFzjsbNuO8dQQZ\ndlmS7J/QsvaSo+F6CjJ8iv4lqDmVcLwEChjZiUVcPA1yzQK1tsjFy/azsXLXpAXe85bDX29+B2Zv\nmHUrOriifd+ccmPvK8Y4OFLJO6o2cVXIZX1Asszo5ar4TjqHUji2ip4VDKwRfPXd/8n/U7XNFz0+\nPrMUIeW0vF5jUsAOIcRDQoh7XnxNpOHpRny+CDwkpbxFCPHFsd+/cPwGQohG4DPAMillUQjxE+BP\ngO+eZt8+04RqStSigmKDvidEX0cIMb+ELspTOqfzQPtEshsWPsH/ffItPJZeQdPKXubFh07apmAa\n5PsjKAXlpNEetSRwGiy8bQkSXRO76ArVCtn5ABJNd/nr+vtZFZhcgb29dp533vNXJPYqjC7wKDgG\nMc0kpM4dT6r+bJRsV5zHmpbw5YMtHBlIEdoaKlerdiDX4pFvt7n8nN38fOg8Ptc5nxsXbuXy2C4u\nCxV8EeTjM1t4jaepppEvTbXh6QqftwCXj/37e8CjvEz4HNdPSAhhA2Gg5zT79ZlGFAfCPQLlimHS\nvTH0YY3W+iE+1vEu4kaJLzXex3Jj6lNe841+5LoMbjqEqpw6KqOpHgRcpCMQ9qsrHyFBGTAQDhPL\n7RFgxwSypcDa1sP8Z+tvCSuTryrcoKpotQXSgSBoHlHdnFPRHttTWVrdx6b9CX6xYxWRbUGqejwK\ndZBrc5G6pLFtkOEn6njUXkpVS5pVjd28kGnklx0reffC57i5eufZPg0fH585iBBCyDKPnWqbV/v7\n6SY310opj479uxeoffkGUspu4P8DDlMuLZ2RUv7uNPv1mWZCAx7FrSkSO3QUGw4dqGEgH2VrTyPv\n2/rh03LYvipkcnXbHiL7DA4ceMVX5BW0pwZRAy76yMm/nm5bCbfSJrn/5KLnxTBsoUqhVCX56Dl/\n4C8b7iesTGzV2IvY0uXLw/NZ/fgnUHdHSTVkuHH1c8TmUN0eVwqSepE3VW3FjZenGvNtLgNrIdda\nFj2LFvZwXcNOhAfRAxpDHRUoSKqDOZbU9HHXnrW85+AVZ/lMfHx8JspMqNw8CR4RQvy5EKLlJecg\nhCGEuHLMsPSDJ9vBKYXPRN1Ux9TVK059LO/nLcA8oAGICCHed5L+Pvais6ttzu2lwTMJvSCp3uIR\n63IRrkDYCkOHUti2yobGDvbYLoedqf1/qELhnPARzAqJPqTRk0+cdPuhUgRNc7GqTpLjI8EbDBDe\nZ6BaJ7/i7LDC4AqN4TUuTr3Fm2NbWR+Y/FTMH0o639l3Ae5IgFKdw4KKQYbtCI6cW4sjn+lv4V93\nXUOoU0c9Gij7cgkQjgBRNmDdGN2BVMEYlaglwaauZo7kkySMErGwyZ7h6tMSyz4+Pq8hs2tV13WA\nC9wlhOgRQuwUQhwE9gE3Af9HSvndk+3glHdsKeVGKeWKE7zuBvqEEPUAYz/7T7CLjcBBKeWAlNIG\n/gu46CT9fUtKeZ6U8jw9MPFVNj7TR6xTIkMute2DBLaFSdshPrvv3Xxg9/sYdPNT2udHEr186c0/\nRbFhX3fNSZOcHU/BcxUwXiWSI0E1BaFehdQ+96QXnBsQlCoUis021c0j3Hf5rSw1Jrasfnwf0uOO\nbCWfev4mih1xpCJB93C8uSV4XqQtMUwuHaa4wMQzjvtwBahRh6wd4M7hC4h0l//mxFzcnjBHM3EM\nxWFoKEqhFCA7jRYoPj4+PgBSypKU8utSyouBVuAqYLWUslVK+adSyi2n2sfp5vjcQzmkdMvYz7tP\nsM1h4AIhRBgojh3kptPs1+cMYmQ9klsM8jtr0S34/d4FBMI2paEQ32lYyecrOqa033XBw5g1Lqrm\nYXkahuKc0MOrOTrCoY5aeBXdo1oCqUK4TyJOFhRSYWCVwGsq0lY7zFcW/GTSogdgxCtyy85rcXfE\nUQXUrRikKZbGUOZmheaMGYKMjurA8cEs4YJnKzz33AI69ihE0y6eBsITUG3ieYItA00o/QHcZocj\njkbV3LQt8/GZU8zGAoYAY8GUo6fc8GWc7pD1FuBqIcQ+ypGdWwCEEA1CiF+PHdjTwM+A54BtY31+\n6zT79TmDCA+i3S6JAy7GqEQMG5QGQ+jJEt/fdz5v3Xctvy0EJl3kcKkR5kMX/p7A9jBPb2/He5Up\nIsdT0TIqWvYET00JUpSjDKdyXy9UK7j1JuvmdfKVBT+Z9OotgIeKKhf94ZMUO+JYLRbV6/poiw8T\nUu1JGa/OJjJmEBlzePl/j6dDQ90IgSGFaG9ZcSoOxPeoBMMWxeEQhcerES58YNkzLDf8MmE+PrOC\n2TXVddqclvCRUg5JKa+SUi4cmxIbHnu/R0p5w3Hb3SylXDI2RfZ+KeXcyQad4wRGPUK9ClrCwjsS\nJjcQoWO4kj+7/0NstiZf5+e8yIFybsiAxvO9jSec8lKExDPkiUchCrh1Jsaw+qrCx9Ng8FwVMyW4\nbtlOvtc2uSXrrvQ44uTYbFrccugG1N1RREOJ9uZ+asLZCZutzlZiARNc8Yobmagw6elNUbnzpdOL\nsSMu2uMJRMBlyRv38tub/jdfqNyBLvxwj4+Pz8zDH5L5nJLEQQ95KEihRiGzwqVUNIg0ZPlm3xWo\ntQ+z0lAn/JBbFxjCTHkEBxRKRQPHU1FfZurpSYEX8FCsl+1TlqdejENB4gclwpNI8UrhNLxcpdRk\ngRR8qfZBAmJyuWKjXokbt32Y9AtV2HUWF1+zE8tTicyhysyvhiokbdFh9rv1L62hJEA7HCR2EIT7\n0kifp4FZKUkkC+wZrOHZmmbaYyOv7YH7+PhMjdd2Rda0IoRoBRZKKR8UQoQATUqZPVW7uZmd6TOt\nKLZEtSShQQ8UcEyV4v4ELww28J5nPsrne8+nMMFE1ho1wr03fhkrKQltDTFqv7KIt6a4CEegHh8X\nHLOuEBK0IgQy3glFz8AqFU+TpGqy3H/N/6Fem7jocaXHl4fns/bhTzO8swo75bKgpZ+SqxGcQ8UJ\nT0V3IYGae+mtQdiCcLcgPPDKaJcbEDjtJfLFskv9fONEaxx8fHxmLLNwqksI8aeU02i+OfZWE2Wn\n9lPiR3x8JoxWktQ/qCI8hdF5guH6CF5OZ0e6ng8Vr+fG6uf4kwmM9Bs0gVTASkgODVeQrCuiHGfw\nqQpJ5fwRRp+vfKlXlwSpSSq3O2VH9pcJn1yDitlogQJPrf4OKXVi7uCu9Nhm2Xy592qefHw5Rklg\ntZU4f8EhIqo1p4oTQrlAYcHRGS5FqAjmsTyNpFEcn8KrD41ydGGa0QPJ8TaeIQmOSKTy0s9CqpCv\nU3ALGpeds4/l0Z4plQrw8fHxmSSfAtYDTwNIKfcJIWom0tAXPj6T4sWaOYkDLlYiiFoQ7FfqUKM2\nm7Ys4KH12/mnht9RcxLRkVBCaK05An+MYToJOkIl2hND6IqLKwWuFIR0m8wJZs+CvSrgIIUY94aR\nQlCsULBjoARd7rjodlLqxFZvHbRzfGXgCu7dcQ7a0QBuzEO0lFjT1E1Iteec6AmpNi8M1KOrHtli\ngLxlMHg0QbQqT3vFEKlAAVsqWM6xD1+qkuROBa30sikuXVCsFJhr85zb0Mu/NN5/0v93Hx+fmYdg\n1k51mVJKS4wNgIUQGhOMO/nCx2dKCBdqNnsIV+LsVzGTGtkr8jz8h3PY0NjOV9f+mDWB4RM+CI84\nOS5r28/jO1ZjJzwyf6il+zKHttjw+EqpqlCOIxGvXDQPxgvoxQ5L5Ni39kXx44QEowvArrJZ3tTL\nBcFT5xu9YJW4beByNOFy71NraF/aQ6q9QESzcKWYkyu2TFfjsT0LCUVN/nTpo9wU309YGGTOLfFY\nsZ6fD6wl7xhENIvCSAjNEngBCQqEhl4perLNCtlFNjcu2sZ7Kp6icpJGrz4+PjOE195gdDp4TAjx\nt5TtsK4G/gz41UQa+sLHZ+pIkIpAL3iolqCwK0owC9mkwWc2vRtnIMSqcw/wtbZfkPUUKlXJNivO\nJ57+NE5Op2WzQ88lKooDrqdgeyq64mJ7Kp5UMOoKmEMhlJKCYgqMjMDIueOCRwpBvkYl1wLBQYFd\nK/lY46vat+BKj82Wyy1dN7BlfyvYgua2QZatOEzSKBJSbRypzEnRAzBQiiKGDYoZnWvP20NCKec/\nVakR3h4d5fzgr7i55zpGrBDRygKFbBzFEiS2CRSnLHxcQ5CvUxhdbqPHC/zNuQ/y1ug+P9Lj4+Pz\nWvNF4COUy+R8HPg1cPtEGvrCx+e08bRyVKZil4fwJJ5h4OkGdr3Dln2t/P/svXeYXWd97/t539V2\nL9NHU9WLZUm2LHe5gkO3KYFwSICQhJBwEi7JvSmc3JObPOfmSW4ICSEhhBDwAYxpIRA6uHfLTbJl\ndY00Gk1vu++96nv/WDMjyVaxbNlo7PV5nv2MpNnvKnuvrfXdv/L9vaP861QfaOUN73qE+8eW49ka\nwpGMXyrRG4JAh4lHOum/aZq03qDgxql7BroeYBsB1CV6XWBUwIsL9Lqa2y/UOgWBqTDKiswzJitv\nmCKcg3sio16FT01t5dvbtiBcgcw5dHUVSBgO7bEyAeJVN3pinqITozVWoT81w5EleVa2T/K5matJ\nyLB+yRIeV6f20qPBxzru4AtTWxmvpWnYWVq3KzRb4SYF0xcKll0yxBKzwWf7v0dKGHPzziLRExGx\nmFmM3/WUUgHwb3OPsyISPhHnDOmGn578vtDnZcLSUFJjykhjxuD7P78Mv7tB/zckI1dJ3LRCuuBl\nPbZcMMDNzdsZcFoJVAszmh9OcpehoaJ0w+0LHzQ7QLMDymst7GUNks/GSI57jF+i8c7HP8zXL/kC\nSzSfXW6SjLD5X0ffzBP7+sGVpDvK1KoxOpqLLM9OAbzq6niOp+4b7B7v4Pcvvo2qMrnjqQs4YuXY\n+0g/mUNgVMPI2TeabsTJgb28garptPbMYhUERsVn9CqNi6/Zy+e7fsRaw5izLojETkTEq4JFZj4o\nhHiG0xyxUmrDmbYRCZ+Ic8/cJdm6PcA3BbOehVpTIRlzKA5lcZPg5gOkLei626P23wv8Rff3sZWG\nj8AODGacBJbhIaRCBALpgt4AoxZglFyMmRqdgzPEJ9uZXq+YWq/jtLkwmeCOyjr+a2QDR0aaETMG\nelVAp0v/8nF6UmHX2as1nfVc9s+00JiNcXdlLd/8zrWYhmLTxmEec3XMHUmkp1AaWEWQviA2FUN6\niuJkC4aCsSs0/vwd3+R96Wng+dYDEREREa8wb3mpG4iET8TLhvBDodL6lKA8lcJJQcqGiS0Kpflo\n3XWKS1Ms+e0a7/zA/8lnP/Q5+o0paoHFVCzFqJlhWgsgAM0OJ8ibJRdjto6YKRJ0NDP6eo+WjhJC\nKHJfbqaRF3xh5A3Yq+tIIyDWXyabqLM0M/Oqd1x+LroIWN00yQGp+P7geuLjiuJqxf3PrkJWdCYu\nBaMs8RIqnHZvBiAVRlsd9iWprbVZv3SY709tZNIbYGtiH2npssqIoj0REa8mxNlNH/qFopQafKnb\niIRPxMvKfCFyesgP+yYVpIcEExdrOIZJ5yEXPI+l/36QPx76bZb+9l4+1H4/5VickXiWYT2H8EGv\nKqyChzFVA+DIry1n67uf5NNtd/KG7/9BOLF9s8BL+xj5Bms7JkkZNvHz1HgwLOA+lmKzjnOvnh/j\n4QQ6WaOOE7y4j6khfSzNY2Z3M37OQ+8HFMjyse256TlLACNAb24Qjzv05AocfTAFwmRnsZ/c0lkC\nJbhjci2ur/E7vfdwU3xmrr4nIiJi0bMIA+BCiDLPP/Ii4RD0P1RKDZxqbSR8Il52FrqwCH9KFzq2\nKZTQMEs2QVse0XBpuXuIwjOdfORDH+KPbvwBa9Nj7Im34TpJ4rM+5nSdwvo81fcWuXXjP9BQOgNu\nEzdu2cneQhv9mWk0oX7h7ei6CKh6Jrr00YTi2ekOarbJurYxAiVIGzYHi82U6zFSMZuWRJVWrQKE\noudIuYliPUagBL+87Cm+fmAzq1om0GXwgsdmSBQ/3bsWc38cXYKSetiafhKCeICRtbmk9wgAH+28\nkw/0/i7xCYlvwexIlljrKDHNpeAk+Mvdb+ar+Wn+oe+7dJ+FM3ZERETEOeQfgKPA1wi/Vv8KsJxw\nIPoXgetOtTASPhGvCMcbDgKIQCF9cFM6gZFAOj7SiSMaHmv+ZZZ/f+pt5N53lNZUlYl6HuEr9v9a\nmv/rpu/TY07zrL2Eop+k7MeIa86C6IFXpn7HVwIn0DGlx3gtQ9GO0ZKo0h4rs2NqCXXH4IK2MeKa\ny/RMClUwuXzVIfbW2jlcbmZsNI8s6XzodQ+T1Wo8U+tmyg5FxJG97aFVQDzgS5UrkMMxtg+lkS02\n3a2zdCRLp41k2b7O0UoOTfcJDIUfU5yyfltAqr3CxvYRZuwEH+6+jzvK62l5ChABjSYBmmLHeBcb\n24dptqrkWms8MdLDh7138+2V340iPxERi5xFWvL4NqXUxuP+/nkhxHal1B/P+fuckkj4nEOEUngx\niZMSWCW10OUUcYzjPXiUDoGu4cclKB3hh4JI+IrMYQfn7zuZXq/jZhTG743x3pZDHLJb2VVbgqc0\n3EDDU3IhNXT8pPeXQ/xIFGXPIlCCvVNtuK7GzSuf4ZHDS/GmYvzu6+/hoN3OXaNruGH9Ht7T8ig7\nGz3cU11Ly9JZUlqDzelB+mIz7BvoJNlf5NrkHjZbJqPJA/zqvv+GLoIwHWVLEoMa3hV1ll02xmwj\nzuiBVkb1DLO1OCubJ0kb9smPUygShoM3ORftOY2ffZ0jUwAAIABJREFUoxLQkytQcOL8fs+d3Biv\n8afbN9NaDSgu1fFyHrKiUS1mmciU6EyU0ISiJ19g9+5uPpG5kr/r2IYmXp1WABERr3oUi9XAsCaE\neDfhvC6AdwGNuT+f9oQi4XMcdkaitLDQq9EkyAz6Zyz6EoGi3KUTGOE4B+f1JarjSYQraHlCYpVO\nvgGlgZOSVHpEWPdyRGGWn//ceWuZRpMkNhsgFml97rzYOf5noAs8S6A0iZIsPAI9HHzpZMFuDmh6\nRnAo38nR6RyJmINleOgyQJcBmgxIGg7NVnVhX/NjL+Y5kwjylcALQnXgKYkpfcbraVxfI6a71FyT\n1bkJdkwtoTtdYGlymifGl3Hh2jA1pD+bRFfw53e9g8SQTsqHeyrreWJgA9UuRW7NLOUnm/n8924G\noNwLiXUlgofzvHvg92lbO8mbu57lA90P8YXBrRhFiV4TWNdP8YULbluYfbV7TY1Pjt3Ewz/cwMCW\ngPWtoyc9t4prse9oO3pFnjK9BYACvS44+GAfxroSfrfgfYduQt+WRgkfo6yQNQkCgrgiZ9UXliZ0\nB2lLHp3oI+h4lDN7ZUdEREScU94HfBr4LKHQeQT41bkp7f/9dAtfs8JHKEWgCdyExKwEKAnZ9x+l\nPV7moQPL0EYsyisVzY9rxGdOLkhKfRpGVVHY6CKsAFXX2NI2xuPlPsSMyeQVPh33SvTGXAGpFjod\nl7sllY0NVEODQGA2NZhqShCf0MjvPaZs3KRg8uKw88ZfWaO2K0HmUIBRO3YzC4zwBu/GBbqtkJ56\nvjiaKyp+pThe3AALDs8IIAhNCGFuUGlGEBgCpUFggG+An1C4GZ9YZ5WluRLq+62IwKTcn6SYj6MS\nPtLy0XQfTVPous9hkSdpOVzfsZ/vH16P52kEgSCfrtGRLFN0YiQNh6prIoWiOVblSClPS6LKwFQz\n9akEZr5BU6bK8uw0AyMt9LTPcuDJHvJrZtg1287M7mam2tLsHlhJTMEzQS9Dzy7D61KwtEZ8VxK7\nOQjTR/1FivEUxoxOuRLHXFempKcxSwI357O2ZYodK+Ms+amGeKiF7+avp9opaHR4pNYXeVP/Lj7a\n/AC9x9XQrDUTfKb7Lv72XTPc+tDV1PLTz4v6+EqQMeswaxIYitN5MipToToaBEqg9mX4/SMfpOlp\nQbYYXkC1dkGQdZElHXzYOd7Jpo5hDOnTbNUQ7Q3GJ7M8YcPlUad7RMSiZTGmuuaKl996il8/cLq1\nr1nhU+nUmN3oo6UbpB6Jk5gIqLsGw0EWVdNRhqKjf5pxr4XO+0B6xy0W4CYl5QttCARGwuWS3iM8\n8vhqHj/Yh6rrYUmFEdBo1kkN+wilqLZq1G+ocHXvAG9u2sFXxy7n6QdWIiaTkFFU+zzye+fSNpZg\ndo1AtdioLg9DC7CbA6Zy0PlgeBilPo3yRQ0QoDxJ/KBJdiBA90NvltmVGnaTQrMhv0dhVBW+FTol\nF1dI9Brk93ooGf6b9MGLhc7IgSFQIvy7VQrw4oJGTpKYCpCewk4fE4y+KZA+OEkxtw2wigrfkggf\n6q0CPxa2pNtNCifvg6HQCjpmKTzfQA8ngPsxRZDyiefrrO8YZUvuMN/ov4nMEZdAN9AaGm5G4sV1\nXCvAlQo8gVHSqFqKb85k0A6Fd2GzKCjFUkyuShNPOkwJRbUYh5LOQCxA2JIJ0YyK+xgFjcTOFJV4\niieS7cQ3FDmytx2zKpmeSZF+IoZ/oYNheggPGu0+SCgtD0JBW7Twm8M0lfChciiLkIT1NZMWDWEh\nYop6TCEdwTNPLEW0OExsNsgcguJKhZ/yETEfZ2eWH4u11H2Dj7fezVLjmPhJSJM/adnB+CUZjtZy\nwPPTXY8e6Sc+JrFbTh2uVJqCtIsVc6mOJ+l4PPRc0uvH1lgFINugUQ3b16uzcWbyCZqsGi4aDMcR\nmqJPrwNRkXNExKJlEQofIUQr8FtAP8dpGaXUh8609jUnfJQW3qh9S9DSXWB2dzPF9S4lTyJ3tiEC\ngbDCb8oTe1pRWY9yr0l24FgYxUlKpi+E9256jF/LP0KPLvFRXD/dRm+2QLNV5b6BFYjRGHpVhaKn\nPRRaX7r4Nq6I2VjC4MLe7/LXN/wSA+VmBieaiO9OgPAp9musuGU//9b7X7RrAd+prOSrRy5julcR\nPJNFKI/ptTpv+uWH+eX8Nu6truFfd1yD0xRQCiSxaYV28xS/u/QRnq508/M9a6nNxEiMB4xf59PX\nN0lW8zj0WA+BIZheryHWl3AOp9BsQXJIMLvJx8g1EAeSmEWNao9PortI5f4sXgxqfR7NT2gUl4PX\n6oZpk4QHQ3FUdwPGLOisox+I4/TaUDQQAQSxANmQ0AClK9y5+2VgKIJYAHGfeNqmK19kaXKaKxP7\n+feeX6Jle4NESgMk0hPIpMCPheMqEOCbc1G1cQsvGb5/XlIhXYEcjlFt0UAJRD1M3WgljSCmMGYl\nfl2igOJqH60a/r4xkYS4j5sRyEmTam+ALOt4VR2/KRyeKrwwiiUCwu0ed43Bcd4Yau4b1Vz2TYlQ\nHDFt4scVxZWgdFi2Yoz/1rWN/+W+Feu+PD/YsIEHm5dy+4YvneCdYwmDP2m/g/fuej85s3ZCuiul\nOzglC689OOV/ZkpXKF2hGQHO3gwdT4d1VfOjQOZJTPgUKxbtK6eY2NvKyv4xLsiOctfwSmaO5ohV\nBe9++310Rp1dERERrzzfA+4H7gDOqghkUQkfpYURCM0Jxxf4liDQOCH1cyZmV2moi0vYQym0p5vx\nWzxWrxghYzZ4bNcyrFyDwNYJqgayLsGROJlj6Zt6i6R0Y5UvXvplNpp1svLYXKgfbvp3/t/xG3l8\nsod8tsrs0ThCgZ3RyP3yMPeu+SYpGQPCmo3lRoq/77qTv53eTNm2qLkJSn0af/6Rr/LOVAkIp11v\nig1ysK2NB9QypmUGJylZ+6Z9/HX7E2jCoFnu4P7uleyik/juGPn3HuVHa76LITRu02rs62xjZGgJ\nXkLyv2/8HBvNOv9j9Dr2p7poZCVLrj7K3y3/Fn/S9A4OPdRLeRn80+u+zD8Mvp4DhRjdl48hheLA\n/k7Ecp8PbL2fr+25hJmtOn2d0xw+1Aa6Ip+tUhiMEwSABDVt4SUUomAg/PCGL+cFwlz6LTDC6JSy\nAkTCI560aU7V6EwU6TQLJIWL8EFWbcyihW+Er53wBJ4ncJNhpGiBue3Oi47ACH93vHfN/LUkXIGX\nmhNMerjN+ZqY8DjDYz0+XSQCTt0hdRYcL46UFkZgLM2jFlj09E6hftRG9pBOvamZ92sf4K9Xf2dB\nMAO0axZLMzOUnDh5q7awXTfQQpV1so/E/L/NnU/mvjjxmVMX4StNsLR7kuvb9vGAtRw30Pjx4XXY\nBzLESwI3o7h3fCVuy9NzYywiIiIWG4LFmeoCEkqpP34xCxeN8LEzkpn14Kd8srt1ylvqBDUdc1In\neVSc9j/weXxzLn3jamzesp8bmvZwyG7l/fmHuau6hp1Dq2nrn2RJssh0I8mBp7uRNYnT7OPFJJoT\nfjv/vzf9iGtiMC9M5mnSLD7edief07Zy59FVeBkfL66RuHmcL636Gg0lIAiLzu+ot7CtsozbH72c\n2JhOo8PDSijq7YppP8V/VKBVL/H/HXkjz+7qITGkU+8IUD0OkxmDFt/g+p3vpD8zzeFSM0dHm1Ce\nYPoSn36zzlv3vo2GZ3BkrAlV1TE0qHd5fGliK3HN5cdPbCAxolF9QxlVj/Fng7fgqzDaIXpqfHtq\nC4V6HOEIhh7rwuuyETEffcTk1ievQLN84ntiHK62YxQ0AlMxVW1CmmFqB0JhoTTmanye82YcFwFB\nV4h4KHoyiQZNsRqtZoWcVsMQQRhRaTjoVRczJlGaFv6bL3CyKryRB8dtcxGO3hKu4NBUM/9WvBJ3\ne56WuS8w8ZkA76st/PrrPsSFy4/yHyt+iCE0LGFwSfYwPxy7kIxZX/Avumf7BWhlDaU//7OgTIWy\nAjq6Z7D/q43UWDjp/lRojqL4jS5uXbMEP+3T1z9J41Ca/O6wqH/yOoeP9N0biZ6IiMWMUou1q+sH\nQog3KaV+dLYLF43wmbzG5V+u/QrfmLqUbUcuRGgKYUucJh+v32W2YpDfrpEcP3ldg1CKqYskzRvH\n+eTqb5GWDhcYJpoYBuK0a7sYf2eG4UYON9DIWnVkewN/MoaK+yipU+zX+JO3fof3Z6ZO2LarfJ52\nfD499joe/8F6vJQiNQjyqgazG8GuxvmjobcxXkvTlSwS11y2T3YxNZzFmNFotIcFRE4uQDQ5fHds\nE4ESrEhPEdNclq0aw1rrcXi6CfFEBufCGnXPoDtVACAXqxPvGWff/iUIR/DEvn42rzpMS6xKx/IS\nj+5aTuowVK5rMFrLoJRg49pBDu1dTvVwikqvYNDT0WWYwnEn4jwolpJL17GmNZSmMIYsgrkCZDlr\nQGBg5xWyIcM6FhVGTE474Pwkny0RgKhJ9FaXXLJO1mqQt2pk9AZp2VgQPjgusu6i1Q0MQyB8iVlW\nuGmJkw8QrjgW+TleVC0WBNhjCfzWOm6Hh3NQw6yE17JeV3TcoXNo1zI+/6F+fjM7gCUM3pHeyXeH\nNxEoiSZ8AiVPnd5qdljTM8bBiRbUba0kq8FpRU+4CMySIj4uqSQDWuIVfust3+K+rasYrDTx5713\n8oZ4jYUQUkRERMQrx8eATwghbMBlLt6vlMqcaeGiET6pphrXxMr8XTVHfbWNmIiFtRo1AXWL9PIi\nlWtNxD0JEhPPFz+NnIbb6vLbS+/nUkthiBPbUFq0JH/RuoPZoM6jdjM7an00ugx2zvaRe8pEyYD6\nJTU+mBnBVzAd1PlJtQ9X6Xx9ZAuHxpvxSyYxDdy8z2yTQh+OEczd0CWK/vQMELZMr28ZxW2aoOTG\n2JAd5pu7Lyb5YJLiapNSS4yOZImSZ5E2bLJGg1knTn/zDKPlDPXJGEeOdtF61V5qnokufGx0rHE9\nnLtkS5481IuyNWRZQ3dEWMA8nGBvzcQcMdBsgd0b1oF4wwkCR+AnArS4QgTgjySYFglUix/WsjyH\nMFXznBTTmZjvLpv/Obc8iAWs7xwlUIKY5pHUHBKaTUw6GISiStk2ouGGRoeuXKhraX7Wp9ytUetS\nBGkfraShjt/PIkJ4Am88gQxgZj1k90vi08fET/aQz6e/+xa45Qd8NDdEpxan4ekLoy/imgtGgNKP\nEyIqjPR0thU4+EAfqSEwqi9sMI9vCsavAOEHYPk0fIN7Cmv4t54Hj3tWJHoiIhY7izHVpZRKv9i1\n57XwUTJs15auoi1d4WE7rGeQpo8KDIRgIZVSPZzF7KpSbxUkx1TYPj2HCBSTV3jccMEebk4exhCJ\nk+5PE5KsjNGjF+hIl/i3R65Byzn4VpyZ9YKWfJm/nLqQTqPArYevoFSLsaJ1irTRYEP3MAC1VSYN\nz8ALJGOVNlK7TUbcFka0Zpo6imxoHV3YnyF9cmaNa1J7uK10Ob4ZFp6O7mljakmSXKpOW7LCZC2J\n42kEP21B+AoxVxvz6O5lJJtCbxV7X4b0qKK4Kiz2lZNmeNPTwWv2KBsaSoIs6vhxtVAAvFALYymE\nLxZqYuZFw8lEz0tmbheaLfBSARdvOkjWaOAqeUKhblo2iAnw4wplO0jHxUvqBPqJfkDpoz56TTLd\nNFc4rMIuscU0eG8eMZey83IewdtKTG5vonmnQnMCCASZAbj9yBa2xAe41DKIGy4Vz8LSPHZMLUFU\n9RO3Bai0S+muDtr2n50JVLlPctHmfTz1+Ar6uqbJGI0zL4qIiFh8LELhAyCEyAMrgYVIhlLqvjOt\nO6+Fj5eE8UvBmtbQf9DNhze/H8Py8KsGQg9v1MBCBMEeSaKWOlSmDZJjx+56TlrS0jXDJ7t+Rl47\nuegB+Ho5zycefTvJp2P4FmTL4KYMyss90kvK9KQLPDrdT1eiyNqmcWh6/jayZoP++DRvzz7JLQc+\nRmAAAehFnRk3x+GYTVx38QPJ6uw4Gb3Bn+5+O+33aZR7w1oPFHhDScbjccb1PNaogZsJUKt8pC3D\nehYRFuzWailEINACqPTN1bWK42pqFMiKdkIKav7PvxBhMPeWBSkfvaaT6yuQNmzc4w6w5Fk8Vujn\nawe38L833sq66w5Q+34/u34rhrAlXXcz1ymlFtI1iWkf/T6Nyc0gbYFqbxCUjLCDbJFFfhAgaxqF\noRz020xpFolhndSYT3w6wL+1jff80kf43S33MLJtCfmLJknpNpOjWaQfrhc++HkPfcqg+V6L2OxZ\nOl8K0BpwtJzD6KoihGKwnGdVbvJlOeWIiIiIs0EI8ZuE6a5uYDtwOfAwcMOZ1p7Xwme+KLbW66HV\nJIEn8cZSiFYHBWizOoF+bA6RCEB5gnqbIDnOgop1k4KtnQOnFD2+CvhJPcGfPX4Lsf0xAgO8tKLR\nppCtDZrvjjPbyLLT00jGHGKat1BQ+lzimssbMzt4stFLdreG8BWNVklghvUwg3s6kLYgfVhyuL0H\np9NFWj65lMDdWEGMJEJfHhmOLcABLxXM3cwEyjixY2de/PnxRSLZVRjp0WwdY12JjW0jwDF35fkZ\nWE88vpKmpwXv3PNxVl92mOHr08h4HeWYNLKSWDFYED/zGFVF54PgpATTMQutzUYWY3jJ4JhIXkQI\nR8CUiR9TVLuh2iMxC4LsgE/rvSb/OnUTHU8F6Fs8DpWaws41GaYO40M65qBJatQ/a7fverOkuAqk\nrSiO5hANjanH09hNio+9486X52QjIiJ+YSzGVBeh6NkCPKKUul4IsQb4qxey8PwWPlKhd9W4oHOU\nwWKeQiFJfEWRN/TtZrDWxJODvRCAHI4RzBXYahUNvcYJoqfSAx9qfoDjomEAFIM6n5m5iDvG1jAy\nk0FNWNR7XGRNw+qusK51kiPFHE4mQWxKUDeSOI0007E87SumyMfqNFk1DOlTdi2KTpypSpKKZ/LA\nvhV0jfpMrdcI4v5C5EF4ApSg3B8QxBWioRHL1ykvjaGOJMF4zhU43xGljv19saI1BHotLIBu9Dpc\n3jkEsDBNff7nbCOBNS0prgr9ZvY80UfQFaCNxvATAdObFJ0PCqR7YtQHwkiHVQxoekZSa4/jX1RG\nVSzQA8S0ufhqf8LLJUz3SXDbXZxsaHqY3Q+jtzhck5nmocGlSFcQmxJ4cUl+n3+i6eYLwIuHI0Rm\nrrFRjiTZVKczVeXqtoN8zb+SSy4+wM3JKebtGCIiIl4FKCBYlDeWhlKqIYRACGEppfYIIVa/kIXn\ntfCJxx229ByhM1bkppZdfOarN1PtNBluy5HUHa5cdpCSE6fQHqfUsCjty6Nk6A7sJgVGVVFcLvns\ne/+VC4xjE6SPeBX+aOhtbDvQj3I0tKTLxb1DTLckcX0NXwnW5CaYtpP8z7U/5OOj76XpCZ3ach81\nZ1w3sbuViVYbM+ZhjyXI9RXwAoml++wvtKIcjeJSDXt5A2rP8ZCZazUWTngHbgyl4XQzlRY7cwZ+\nwgPpgr2hxpbeoYVfPzdyNllNIrzw8+jnPYwJAz/vYkyZ+EmwZiR2RhGfVqfsTIrNBlhFqM2msC/y\n0OM+voCOtROM7m+FQJy/NUDzpxSAshRKKIQSyIZATBn4ccXsOmh6RmDuj7M93YXcnSI3oLBKodo5\nU8fW8anPUl/Yjl5e54Aroa5hZBzWtI7z4c57uT7e4A/f/igZGUMTkeiJiIg4LzgqhMgB3wV+LoSY\nBQZfyMLzWvjUHYOCE+cvun5AWgo+2RRglORCrYEmFHmrRt6qMW0leSaTQdS10BBOCJSm8FbXuDHu\nA5IjXoXfP/ROdg53ghIk0jYXz0UdNKFIppyFfQ/XslzRfIiN5hjWmEFs1g9Ta8ZxJnbTFq5ngaUo\nDuQRHtSUwE/7xFtqlFcKtCnz9C3esKijOC8EzRGYswInp9hyyzPM2glimnvK5ysVpv36W2c5/Hg3\nybWz/M6q+/ib0ttof1AwflmAXpXECiC9U4sfEUByPCD1I4GSMQorJD1bCpR7LHLxBiM72zFnJU4u\nOO0E81cMAYEZYORt3JqB0AOuXDlAUrepehYPDyzFLxtoWQfD8CktETizMdSOPK1P+5hFj6kNFlpd\nYVRB+grpgZsI/asAfAvsvEDpc7VgGrRdPsrQkRaQcNXGfUgR8NDAciZqaa6MlTFE7LS1cREREYuc\nRXgPUkq9fe6P/48Q4m4gC/zkhaw9r4UPwMd7fsbyuVlFX3j757m7spbbnt1CuWHRmS7THKviKUnO\nrHHV+v08erifYCw2N5ZCksvUsJXL5wsr+JfdW6nPxlm1bJQlyeJp9ztaynBF735uLVxGZiC8gWh1\nQWAeZ92rjjnwhgZ6YqGWxz6aQgYnMe57jSHt8LUSQZjqqvvGKeujACQK29WxnkxxYFmMFT9oMDHa\nxCefvRldQblHYJQU1fU2YJE95J8xcjPf4Zc57LPvq6up90Hv5YcZ9QSNTh8V8zEmjbAWyD2uYP4V\nJLAC0BX9SydImza68IlpHob0cQIdQ/pctfwgXqBRcOIkdIeB2Wb0HSnklgLeFpvCXe0kr59gYiLL\nb2++jwdnlrNnpB3T8qiVLTYtHWLXWAeaFmDpPoXxNH39k8zW4nz6utv49ODreHvLk9wQH8PokcwE\nHikZjaOIiHi1s0hrfBZQSt17Ns8/r4XPBekpbowf+6Z5XTzguvizfPCqR3nM7iJQkmk/xc8n1xEo\nwcGZFlZ2TrCfNuyRBLWugKSn8fGRrQyUm1nXPkaiyznlTXceXwkCJXiwuoovb7uS7nI4pNNZ4j5v\n9AGwMLNJ6erEm/BiqiU5xygJ6ApzIpwdNrPFpad3KvSaOQ12oGMfTdG926O63uPAr+qk2gpc0jbK\nb3Tcx+O1ZXzpP1+HamhU1jpkjuiIF5ifll4YAUpMwMhgP3IJvPGyJ/n+4xfh5ny0jIMcjC8MTJXe\nsfb4l1PAKglGUSO2tkB7oowpvROuUV8JCk6CqmsyONGEaXo0xpJ0PCAIWqFUirGxfYSHO1u5pGmc\nb66/lV49hd+0l2CFIiDAVwpNCHb2KHwEzdJmv9tMj15gOohzlRXwxrX/iUSgzdk9pF7joj0iIuLV\nyXktfOQplMNSI8VSYz5iM8tHc0Mccit8OXMptz56FVaugZNXJJcW2dA2ypSdpDNROuP+5juKdBFg\n2zpfuWcr2QOSQPOpt0iEHqA09fJ427zKCL2GAgJDo9Yp6Omdoj8zfcZ1k/UUelWEM9nGLP6Pt4Rm\nffNsNLfzr/1bsQ7F8FIBjbwgOf4CXIjnmas3So4FxGYE98xuIaXDje/ZxqMTfZR3JLCbFaLJRk1b\nBEkffIFWlaHvkSdQukLac5PoE8e5RcOZxe5xxdXSCdOxWkOg1QXvXLqDHcUu4pqLRFH3DcbraVxf\nI2XafKzvDpavmGbYy/DR//hNPAuq3QoxbbIjs4Qtl+1j+3gXtycv4o+b96MJSRiQ1Bb2udmaPxCD\n5YbNsbEr88+NiIh4zbE4R1a8aM5r4fNCOORWuL24mW8MXIz/cJ7WMYWbTFNaEaB253hwJgkB9PVO\n0ZueYbia4+h0jst6D+MFGk6gocsAXQQ4gcZTD6xiy9Y9XN53mIeG12FfU8bXfeKmi/ZsyzGDv4hT\nonRFbEyjvtyj0e+wdukILbHKGSNtmlAkDRsvoRi/xUEp+M3sAMd3EbVoSXbf+K+s+a+PgoDCaolV\nlGj22b8vmhO6ITdykju/cSmJUYVoh2WbhxBCsbfaRX//BFXHZOpAczheo6uOX9cxjpooLew6E54g\nNiWptwdIJ+w2C4xjw1ONisDpcBENDVmTWDOCjhuPUmrEqNkGtYkkbhaeLXeyf7qVnlyBZalp7EDn\nY313cLE1QatmYQmDWV9x2+xa8rtBc0PTJqFACEVcc7mwbYSvD2xmT7WDT3X9NKrNiYiIOCOLPdV1\ntixa4WMrl3+cXcNnH7qBtvt1smWfQPeZXamhXTaLVjdp/U6Mcq9JtSdg6NkOBq02AGLjOk+Z3VRm\nEuRby2hSMTWRYcuqQyDgsfvXoHRFYCrsqomZqzE10ITUXmNXx4tBQXxJhTopWtpK1B2D3Glqep5L\nyrAJYgEUDV63+dmFaeTHYwmDx97y93ynspJPPXMjs4U0uQMBev3FvT+xQkAsHHuGUYeJ/+xFsxWx\nTkHXhiIV06I+1Iq+dYY/Xftj/nLnW3BTDjHLxVSCajlGLaHR3jPLdCFFMBrD6i/T1zTL4ekm3ANp\nNq86TMM3GCllKAzlMKRPX3YGJ9CpZssMPd7F40+uQKU9fmXtz3hXaoSEnO9EDOts9rlVPjt1LT//\n9qXkyz61NomX85E1SX1vjun8LM1Wlb7cLPdsX8tfGHX+puPhk76GEREREa9VFq3wedQ2+Oyj19Nx\nt4aThtm1GsIHZ4nDBbkCz470UGvXSA8FiEBS7QpCQ0DAzQQ4hzNoPsy6WbSyhlUT7N69GnVRDTUR\nC713ahrMGJRLmdA8MKp5OCVKV0hHkNstmJVplBmwNDdNTHNfsOgB2DfbRnw47J57Z/Pjp3xei5bE\nFB52MQbdLtVK6Nb9YsXPPMKH1HDo+GdUBDsL67AKCtEC5UqcOwvrcPZlkMsqbO0aYKSe4emB5Wjd\nNd7Z+xSVrhj/seNa6u0mtq9zQ99+fr73YvZOtfGZDV/noepKvrz9BiqOxd8v+xYBgg/u/AAA3asn\n2NA0ws2pIRIyvnBM88X5n3rgJtL7DJoOhccXGAJZn/OHUjBcytDcWiVv1diy/iDfe2oTP82u5f7L\nP0eLlnxJr0tERMSrlOPmJr5WWLTC5x+HX4c5ZjCzDpwuF1HXELYg11Khyaryu9fcyfBleR795CUk\nxgLq7QJfV8cMAQk7smRdonSFm1G4GVBTFgKQ1bm6CMGidP19JQmsgFhrHXsiQa1TcsvWR9k+233W\noqfoxBgfyaHlA5JDklatDJinfP67Ukf47JLZ0oMAAAAgAElEQVQCk0dz1C6pIR9OkD56ljbFp0Fv\nKNJDc9tTEvOuGE//YCMddZ/y0TR37N5MckQRzwjaNhbYVVnCfQ9dgGxWNOWqvGPJU3zyvjdiSLip\ndw9fGL+GR+9bi+EKao7BP0zcyF13bSK/B9Q6GJvJIIXiq8lVvD65h4RQDHoJbpveyj3fu5i2QYVZ\nOSZ6qt1qYVyLH1McN56OpO5wwYph9jzWz5sSH+TBTV/HEFEVT0RExIkITnTAfy2w6ISPq3yOenWc\nQCdYWicIBHLKQnhg9ldYmp9GE4p3pXcwmbS4u/1SMoM+8TFJeWWwYBp4Kk6Y/xVxZgRoNUnyZyn0\nnKCy2mGonqc5Vj0r0TOPVtRJD0gKl9hsME9/o07JGLev/xKvG/k4ftUAAfUmSXzm3DsTmpVj21RC\nkBr2SQ3P/a4sGL+jm/JYF0tKAW4CvH3N3Oq/ha5SQKMJ7vjy5cSnAzpqAb4hqBWa2aaa6TzqoYSg\n9UnBtJNgsGDxyYE38kneSKajjL0jjzUDTcMnjp4od0t8Kzg2iFRX2N6Jr1drrEJwySC7d3fz8bYr\n+aeuR8/56xIRERGx2Fh0yZv7GiY3/PgPOPiTZXQ2F9ENn8zSAmJJg1Wtk2TNBtuGe2nSNMpBDDnX\nPZ2YCNCb62H9SMRLR4BsbxDEfZqfFpSWQ+zaKUQjvPkmdecMG3g+Cd3Fz3rUlig6OgovKELRq8f5\nvSvuRNQlxXUeMxsDgldYzut1RX6vjzU3P8ysBCSmfGKFUJjEpwIyR3yM6txYFSecKJ8a9he60TRb\n0bIjoOtOQduDGk1PaRg/zNG6wydz5ETRY2cklU0NlHXsWpYNQXk0jRuc+Jq1xCok2qv8fGA1jzTO\nXTQsIiLiVURwjh6LhEUjfFzl881Klt968ANoZQ15aYHl2SlWd0xwaecgVy87SN6q4QYaSgkMNAzh\nU1sSRh30hsIbT2A113/BZ/LqQLgCTffpXzbB5KUBHReN0Z4qs2rd0dO6Mp8KX4nQ48eReAnF5paj\nL2idITTen30GMh5a2kWvSso92i+0HksJ8cLb649DemGNkVkJSEwExKeCk+bey30Cw/LC+p45RCDQ\nKs8XippQbF4yhO9LfnP7+5n1a2d9XBEREa9uhFLn5LFYWBTCx1Yu22zBdyY3ozzJhssOcGHbKADN\nVhXnuK/4npL86qrHsIROIzBIjB5zWY5NSuLW2d+UI56P1oDUz1KMF8NCZk0G5Mw6nYnSi0pxAYw3\n0mg1SWxCckXmwAte16Il+dsrv4VfNkJvny1VGk2L4tI+a3xT4K2p4ZSsE0SREhAkTv2VS8rwd298\n5v0v9yFGREREnDVCiL8VQuwRQjwthPjPuTlcLwvn/d3BVwH31hP82o9+h4OzLazoGydrNrC0k4+e\nLjkxvrL3UkpBAxcN71hzDHZTQGVv/jVXwX6uUKYi3leGVpvYtGD6cpevbP4iyZYaxXoMQ774VIoh\nAuqegVjSoN7t8/rEkbNaf0uywLsv20bLshncuhHOpzrvr+6zQyhFoIPvSmRFO6EOTekKvalBUref\nt04TirZchepEkvHBplfwiCMiIs571Dl8vDR+DqxXSm0A9gF/+pK3eArO+1vDV8od/M4PfgOzrUag\noDtZOO3zAyVwB5PctOOD/PPQDaAg0MNBjUHWI9Aj1fNiMWYk1fEkasaktNZly5pDfHzfe2hK1ljX\nMv6Stz9WSuNVDQhgzD+7DiRNSP6y7THe1vMMesyjelmN0VscfPPVU6WupKC4XNLSUkY95zpWpsL3\nJFXPOunalblJVqwcZcWqUb5ezr8ShxsREbEoUKFz87l4vJSjUOpnSqn5iMYjQPdLPrVTcF4Ln9lA\n458PXEesp0xf8ywbWkfPuKYlVsXPe0wfbGLPkQ4aF9dIfGSEqTfZrOgfDx0qXz33wlcMpSn0mqDz\nHhm6BVsBhwrNLM9OsTw79ZKiPQABgnyiTmqvgYr7GC+iUs4SBh/MPU7gCzKpOoGrUek6ry/xs6LW\nKlEaTB1uev7YlDO8/LoIGC+nOPRUF//zqbdiqyjlGxERESLUuXmcQz4E/PicbvE4zuu7wvB0E1Mj\nWa7sPnzGaerzSBGweuko+WUzKFvjljU7uLZ1P8lkg0NPdr/q0h8vKwLM7iqx3jJaQxKfVIxeG/DD\nmz+FqmtMT6XP2a5M6aHJALtF8cdX/pge/cW9UWmpsWzJFG2pCtihUCgu0wiMxa12Ax0q3cDa8ilF\nTjLdoOad3KXZU5JN7cP4qVBQTvrPT4lFREREvERahBCPH/f48PG/FELcIYTYeZLHzcc9538AHnDb\ny3WQ57WPj5by2Lj6CN4LVCum9OiwSryj5Uk+fv+vkDhs8JPWtTQna9R35cCK0lxnQ5D06W2aJa67\n7NqXwc4JPnjVA3xx5iqMnE1Xy+nTjmeDJT0O72/H9OFv7n0za276AtfFzz7qk5Vxbl/1dR63m/gb\n/w0cLS8BoN4maNopTvDjWUy4ScmVr9+JKT1+PrnheeJHmYr2dIW8WSc4TUjTaqrjH07xjvSvs+2i\nb73MRx0REbEoOHcdWVNKqUtOvRv1utMtFkJ8EHgLcKNSL1+b2HktfOKaS9564e23h8vNPD7eww+4\ngPY7dcq9UBvMUDXSiJiKUlxnSXq3wfDBXrw4GA2o9vkcbeQpexaX9x960d1bJ2P7dDdGSSM9APas\njv8S3qwWLUmrVmbsgS5UJkBrCJx2F980UBoneOIsFvS64sFDy1jRMYlsCNScqzjMOZEHYEgfKRSB\nOvlrt22oD/doksyg4NLrz654PCIi4lWKYsEI9ReJEOINwB8B1yqlXlbfjVdF4mfeA2ZDfphCIcns\nbIp6m6Te5YdvqiMi0fMCUbpCybCmR3qQPehjd7os/aVDWFMaDx3tJ36WoyheCFIo3KxPtUfwpvc9\nxHWxl1aDssLwWbL1KEGLQ/LCGbSCTrVbMPHOBo384rvsG3mBPx5nz64e/Hgo5iAUPWZnFayAyWrq\nlNFRN9C4uOso0hG4Kbgmu+eVPPyIiIiIM/FPQBr4uRBiuxDicy/Xjs7riM+ZmGykqDgWluZRMWye\n2nMhwpYkuipUu8xF5SR5PiA8gWhv0JovM3aoGaOiGH2Ly0+v+wzfK2/gkLsU1z33857qvkHVMdGq\nErvF58HxZRxsepBVxosfrJmVcb69+ut8bclq7pxaw4GRZir9PgnLY3pTwJL7Fk/kR0modsEtW7fx\ndKGL7mSBBwaWw3gMgPg9aeyLHXoys/hKPE+U2r7OaC3D4aMtJIqCN77nYW5OTgHR1PaIiAjOZarr\nJRyCWvFK7WvxffUFqp5JWm9weKaJwaEWDo618vRQN+a4jnQE9cE0SkbDRc8GpSn8vEswZYWuyZrC\nyQh6O2e4rXApn33oBthc5NLec58iMaXHzGwSoyIxZiUj+1uZ9ONnXngG8lqCj+aG2JgdxkvApk0D\nNOomylR4MYGTloui3V0o8JKKj7fexx/2/Yy45rK57whBPAAZOqb++dX/han5VNznt7PXPJPB4RbM\nEZN6l889Iyv5xNhlv4AziYiIOC85P3x8XjEWhfDxlaDsWpjSo+4bDJVz3Ht0BbXRFFrMRwzHkDLA\n6XKPdW2d//ez8wplKvQpg/xOyX23b0Yra5SX+8zU4uyttLP1wr1c2nXkJbetnwxNKFLpBl5CkdsP\nIu+w3jx3XUdXJPfTfu0wUiiWd0wia5LCSknnbwwws06e/9eKgswBybfL63l9vM6N2V00PAMR90gO\nahTWB+S0GuO1NFmzsbDM9vWF2V2qoaFXBK3bJMVKjNRJjA4jIiIiXguc16kuRVib8OxkB6WDOfSu\nGv5QAqMiafTZaA2B39AQlkKMxReHijuPEAELRbJaWSO/B4yaonhdnSuXDvDYT9ZTCbKUskXa4+WX\n7Th8JVjZPMkT+RROxuD3LrqbrHzpEZ95ro836F/1Nb5Z3MzX9l0CbTZ23GDHgR60FXWqYzGSY+d3\nXjQ16vPFL76JqV+7nw83PcydiSIH0i1odozLN+1jzM3SmShR9w0OzrYwPZAHJVi3cZCSHUPWJfEJ\nhZuEtlyF38g/CqR+0acVERFxHrCY5mydC85r4WP7OuP1NKVyHNnRwD+SROkKNx0gCwZKgiyd16dw\nXqNXJE5/AyEV2mAMoxowdoXg7qv/iTHf4j1dq9GSHvIcFzI/l5ITD4tyhaJ6VZVthaVMZJ6lTXvx\nNT7HYwiNVUaSP2vZw4ST5q5vbQHAt8DJBbgpQaCDnZXEZ04+GPR8IDvg85PPXM3Xtl5KX9cUtZEU\niQQ8vGc5jyd7QAncho4+YSJMhTIVu57tRdYFVkHivnWW9yx7ko82bScrI9ETERExRyR8zh9cR+fg\nriUQCIIAmLPpj0wIXyIqHGjpGIprV+9n23AvnogxcYnk9rf/Iw0l+Or0lWAEbF3+woeFvlgGC3lK\nB3NIAUwYbBtZzVjXj2k793XU5I0aTl7RummcumNgF5L4MzFGrxak+grYD+bJHPaRJx8F9wvFtwRm\nVdH0oMlsrAutS+HHIbnPxLdMnHyAFOBlfYQj0MuSvi1HObhrCW3XjHD7mq/SqaeAcxdNi4iIiFhs\nnNfCh0A835o/4qUjIdVeobE3yz1PrSV5WCdmg7e1yHcLm5l2kwzXcly26tBJu4TONRe3H+WuyRTm\nuEHzM4rJiwQrXqRz85n4SP5RrDd57K+1UfVMphN1BiodIKE8m0BcYBMYFk27f7EtX4EOXkxS6xT4\nFhgVKK13wJXIhgSlSC0t4gcS6ycZ4jMBbkJS6RbYTZDdL7AKiqkjPZgdCkPz+cTIG/mrJT+eEz8R\nERERhBHu8zvTf845v4VPxMtCYAV4T+Vof9bHSWlMXuuALZFDae6Kr2JVfoLWWOWVOx4E6ZYq9miO\nQIPLtu4mIc2XZV+deopPtOylFjzDTODw1+M3MjLWTWOJhz5pEhiKeoeP2gvVzjDklBz1X1GDLyWh\n1KcRv36SZsNlcLAVp6QhKjoiCNvwg5hiaX6GhO6w+qNPcfv3rqVpl6Jp9/yBhmJVbyjU6ipHZ3LY\nns7tqQ38QdPAK3cyERER5zUC9Zqr8Tnvk0aLxWvlvEaFr6N0BSgwihr5fQFKE0xe5vMv13yFdGcZ\nrS6o2ubLHuE5Hn/OZbgzXUYZUFwpeXvLky/7EM2ENOnWU/x0/1qcpoDVq4ahu05gBShTMXa55Hc+\n+l2Wvns/E5tfmbZ3JaGwXGP4lwKcLRUK5ThH9rcjK1pozxAAAoI2h00bBmi2qryv/WH+rGUn//6r\n/8zYFWE6bGEumQjrmILDSRoVk7ju8pb0My/7eUREREScz5zfwkeB3+QRJCL185IQoehR3XVEu02g\nKzxLMHq14o43f4ob4zWu6RrAbXfpyhaRr2B1rxdoVD2TA890Ex8VuKmAzw9dw19NbXpF9v+Hm35O\nEAsoOxbXLDtA34oJhCtIrCzws6l1PLW3Hy8bUO4JPypCKZTGy9IC76Qk1//KY/zLDV8mGbfxJuKh\n6/gcwvv/2bvvKLvv+s7/z8/nW25v04s0Mxp1jdUs23KRcaHYQMD0AEmcZEkMYUN+m2yyuyT5pZz8\nNiH7yx4WsvxICIQsCZ1gwIAxGPcuyZYtySojaSRNr7fXb/n8/riSLGFZVtdc6fM4557jmXvn3s8t\nPvel96e8BX7U5W0rd5KwK/gI8l4IQ0huCkr+w22PMPOuEhPvqDJ5nWRsk6D5fSPceutLfPPWf+Cv\n+7/LYlOv79E07RcodX4uDWJeT3VZRUi8YJNf5BOclpR6XIyCgTIb5wW+1GRVIHzwQoq7B57jh8NX\nMZOzmN4In37z15j1A/zPsZt4aGgpfQunaQvlT9nk8nzzEWzdspTglKRyY4Hok1H2xju5ufXCL6oG\n+O3EMDff+Rm2V7vYWuzjxoX7+NTMnTiOyY7xTmTBAAWVFkVtSqIEpFeBlRdYBQhP+piV8/N59E14\nU2InAD2JDJlEBObsegsRu77bLNlaoOjVpwHHigkeliv4YOxpAD7Z/DJ/sOkl9jqKe3NXU3ADRM0q\n74y/wIbAhZk61DTtMtBAoeV8mNfBBwWxEY/YCDhhn0q7hO4yajo4L5qqNQKjVq/2xIfg/8g3YOUE\nMqoQ7RX+beJ6wmaNw/kmrlkwfEEOJ3w9EaPGG67fyaNbV2EcihCe9MmuVfxGcgsX45wZQ0gG7BAD\ndpoPxtKMuwX+x1CISrPHwIphnOY0+ydaUWNBqklB8foS/239T/jG2LW0Bgs8s20ZHY8JjFp9nnx2\nZf1/qabdJ3ktBUyvNTBL9dOYnQiEJxRmGQJZH8OBH6XX8oHm55guRxCzNn7SJZoqsb5j5FVTkOlK\niDWpVw4sNIQkLGzWBWBd687jbqlDj6Zp2lHze6rrOFZJ0f40BLaHUUEPP+bO/xN3LzUB1RaP+JBP\naMandaug1uphFgTmvhB7ZtrwlWRRfPaShB6oV3x2znZg5CV2pv6GLumbJCIuzUdz7Eg1RdQEtnTp\nimRZ1jVJ61VT5JZ7uDmbv912B/v2dfDMC8uw0hKhAAHpZSbv++CjeOvzjLzTJbPUwD/unxbT6ySf\neP99uBvyFK+q0HHDGOkNDtm3FskvNJCO4qlvrefTw29hOhMlOiyxxy1uWbCfkmsfWw8F9TOupicT\nOOoC7PnXNO3KcXRX1/m4NIiGCT4ARk3RtMcjNGIRTpVRhtLh5xSUVAhXYBXrvalm1iluXrsb+6os\nRllQ25FgtJi41MOkPzmLv6CCkjB9teBT/f9OyghfkrGssQ3e+7YnsdrL7JrsoOjatAQLvGvBS6iQ\nR7C5jFO2wKy/tm5YMX21oBaV3Pi+F5AonJqJOW1T7PUYvwVqMYkyIHnNNIvtKWLhKsZ4gOGdHci8\niTseJt/vM30NSA8O/GwRxq4o+bVVPnrXA0jhEzZrr6r4GAGPDzc9fUleJ03TLh9CqfNyaRTzeqrL\nDVMPNse/ngoS+30m26IsWDbF8P5WZLWh8tsFo2yFSNRQczYq4CPLBsmXBW5QMXG7xw/f/FlWWAF+\nXd3ONpWk9dpJFkbTl3TMg5lW7lrwIi3Li/xErEIIxV8dfgcf636EO8MXv5+UJQz+uv0l/rj1OR6t\nJOkwcvSaDt8tLCW12SK9VtK/ZIKEXWYo3Uw2HUFN2lSaBC/NdvFQejlMB1CGQtQEylbkFgkS+wSe\nL/n2zLWUqhZeyK+fUXX08y3AS7pUFtRoiheZ29qGGXDZXuim6pmYRypyR89VemawH4Siw6iiu6xr\nmqadvnkdfIyIy8xVBi3bT5yGsYo+0YMm0x1RMFT9S+YK78Qu/Pr6tFC4xk3LdpOuhdk82IdVsph4\ng89Td3yaTjPKfqfAC+PdVNeU6ImlL+rW9ZMJmC6Hyi389GdX47W6RPZZDIWbeDi+kjeHnse4RFNe\nURnk7eEK9fUxNjuK3VhFiO4zqfaZJKIVVreNkUuGOJRK4S8XTO5rIblTUm0SlJdXUEUTM2fgxH1y\niyTWz1p4aCBBYMLEXFbESQcRNYndWWRhc4b2UJ6AdHlH8zb+5LG7cQ6GeaSyDGqSVGeOtW1jjJcS\nZMohVNlgw1UHaDde3Y1d0zTtjDRQteZ8mNfBpyc4R+umMQpjnYRmX5lAVFJg5xThSBmAymwIUb6y\ng48SsG7NAV7YuYhob5UdhU5E3iS/UGIkKtw9+CGag0XSlTBKCRa2pgkYl74vQ2uowLbZbtyIoqUz\ni/tCC8XdSeY6I5cs9JzM77Q8yoPvXE55NkR5Lk7VNemOZekKZ3lD8yB/v/k2MBShd02yLJYhYZUZ\nLyd4ebSDQMDBXuKRzYYxJwI4/RXuWLwXxzeYrMSIWxUs6R37+erABJVVZVKPBMn7Nr4BaS/B4/kw\naiqAdAQtq2b5av/9BISu9miadi4aayv6+TCvg09ECD637OvcddvHsX4YOHHbsA+eL4mFK1Smr/Cz\nSRT4CZdt2/vpegQef3Yj1aQg4UItBql4iYhZA+pBoz2cu+SVnqNChsNsPoLwofh0C83jHnZe4t86\nv4LsSjvMN675IhY+L1a72VFewHWR/VwfnGbCM/jyy3fWT1zuDBJKOtR8k+ZAkZv79xMxaiStEl97\n4kYAetrnKLj1gyKbA0WgPoWVtMr8Vvtj9JhRfnXNc9z31BtofcFHSUGpzaTQY+CHfdyox/9c9S1k\nYy3R0zRNmxfmdfABWGbZLOmcYqyrl/jBeusA34Rym6CSieDnLISaX1+SF5tQEN5nk9pbf33cIFRv\nzGMYPuqFBLP7mygvtLi26/ClHuqrSBTJaIlJI3zsZOLpaxR/0PEz5lszzTV2EICVdhpiR9dGRTjo\nOvgmBDKKbDHAbDVC0bGJWVWKrs1vLHiKuyKjfNW8geCM4OC+drLdQda3jeIoia8kL052sbR5mltD\n9crm3cln+eHbBqj9ezNeAIoLFIuvOczXl34bKQQJGQL0ji5N086R4oqr+Mz7fzJawuBTi75LYW2F\nXJ+BMiC9wuBjv/ojlnROE+0skFyYufI6th9ZEAvg2+pYSwPfEpTfWOAL1/wrX7n6y3gBhVEWlA/H\nLulwX4uPYE3zGEZLFS8I+W6D37rtYQbs+RV6TmW55XLXB54gfa2DX7DY/eQihnZ38tKhbm5pHeSu\nyCh538XKGCT2eyReNklPxRjMtrJzpoOntiynWrH4YMdzx+5zsRXlswPfIPihCXK3lGlaM42nJB7q\nSOjRNE07T66w7eznVPERQrwf+AtgJXCdUmrLa9zuTuAz1P+J+kWl1KfO5HGkUCzunmZfsROrYNB9\n6zC3RPbwZHAx4/kY6ZEE8goJrMpSKNsn1FQmEqwxezCFUZTED/koA8be4vLoxs/TY0Z5pmLAsiLe\nVIiW/rlLPfRXkahjp0T7voCAIrvKY6IW58mKzzUBryHWsCRkiD9qeQbWw0eanuLJch9tZp5+a45l\nVgQIEpWw5qZBhl9eijJBVAxGJlJYQZcbr9nD73Q8xE3BE9P7TUHJTwa+yS4H2o0aMWmQkJFL8yQ1\nTdMuE+c61bUDeA/wj691AyGEAXwOeDMwAmwWQvxAKfXy69151hd8JddCm5nnYwsf5f9OvxMnGue2\n1r08UBggYZVZ0TLF5skoF7G91CUlXIEyBCvaJknZZTa7BqV9CVAw+naXB2//DD1mFEd5/I+RO3Gm\nQiwbGCF8ZI3PfGJKjw81P8ujhRXY+0JUemrgCB4dWcLPhlbwnWu/wIA9/4MPQMoI89ftLwFRFlsz\nR357Ykj5h77v8/5f+zDlYpj/vOwJ3hzZzfZqJ7eHJl7z3KKwtNkQAH36sqZpF0ojncFzPpxT8FFK\n7QIQ4pRrbK4D9imlDhy57TeAu4DXDT6Hc8186l8/gPSg2OtCwMdqVvxscgXZcpC+5Bw7RruQpStk\nrYOAJatH2DvYRWuwwHWxIXwEj0xGKbdZfHrTN3mktISv1Jpps3Kkq2FuufblEyor88nOuU4+fvjD\nOAdiuJ0Ore1ZMttbyMkodrzK1spCBuyZ17+jBtFiRHh44Pscdgu0GwECIsIyKwdcmsMaNU3TgCtu\njc/FWNzcDQwf9/MIsPG1biyEuAe4B8BoSeBGFW7Mx8wZsLCGnbMZe64LN6zYZibrh8BdAZQEZfkM\nTTUTOWjyxKH1POWsp5ZSyIgit6bKfbPrKHo2Nc8gZafoi9Wnt+Zj6AHoi88x/nIbwlDgC6an4rTu\nglrConRjlVvDB7kY/bouth7z8ntOmqZpjeJ1g48Q4kGg4yRX/YlS6vvne0BKqS8AXwCIL29XcnEB\nwzVoX5Ljzq6XeaZrETP/1MvMOoGyrpyUKhQoQ5F8IEwg66EkzK00qDV7pLqyFF9s4olwP6u7xkjY\nlXkbdo7nKom9sEh1MoysSKhIAjkfqwQ106dJzvtNh5qmaY1NAf6V810KpxF8lFJvOsfHGAUWHvfz\ngiO/e1229Lilbx8136To2jjK4De7nuRvwn00b4e5VRIvpK6ITu3KUATHLQLZI60LbEF5UY1PbHyI\nH4ytwdwHc+Ew29yFXL9o6JI1HT0TIcOhK5Xl4GgEFMT3S4RySa8w+S9X/ZSoDF7qIWqapl3mrrwD\nDC/GJvDNwFIhxCIhhA18EPjB6f5x7Uh7a9eXvDX2EhuDY+QWQyDnER0WSJfLLvgIv757SxyXXYQn\nkMe1rpq8QfHAmz7DJ1KDvKt7G7l+gW8rAsFaQ4Seo7ojGZqXzgJg5xXlJoNVb9nLb8SnLvHINE3T\ntMvROQUfIcS7hRAjwA3Aj4QQDxz5fZcQ4scASikX+F3gAWAX8C2l1M4zfayoVf/WT0oTt6OGbwqM\nmsKL1LdxXy6UrF9EokZocQ7ZXsEPewhHEJ6od1kf+SWP773zMyyzIljCICYrVNtcAh0lFiSzeA10\noKOvJEuSM0T7s9RigpnrXT654MeXeliapmlXDqXOz6VBnOuurnuBe0/y+zHgbcf9/GPgrL/NPCXY\nPtXFD4LriaWeJZYsUehKUVygwPKhfBmdXigVyoSlXdPc2HKAyVqcp8f6KGRSKANy78uz+bov0GLU\nt0rvdYp8bvAWEDDQMQ4wb9pRnIrjG0TMKr/Z9jg/za1m92wbhQWK9gVp/urwO5DC5z92P8QbQ41T\nvdI0TWtIDRRazoeGWT0qhOIbj93IN+QNGGVJ851TfGDBdn4+tZwDezuQ1cYPP37Uo3/RJCOzSYRQ\n/FHzNnY4ghdnu8gkPNIDkv+66mGmPcF38t3MuDGemFlMTyLDqpbJhpriksIn64So+Bb//t2b8UKK\nwIoscy+2klsaZEXbJP/l5ffy6Pqv6LU+mqZp2nnTMMEnFS6TDsaRZQOzIJje08KX9t52ZBqo8UMP\nAhCKA/vbSeywGA1EWf3i7wEQnJYYzT5ezOPbYxvYGuul6Aao+QYtwSK+Eg0VeqA+xbVzqoOP7vp1\nbFvhhRR3L32WL2+5g3I+wB7Rhu9L9nNMcBsAACAASURBVDjyyAF+mqZp2nmnd3XNT4ZQdEcydK7O\nkXOCVF2TsZ/0UOzzkAWDBti5/br8kMfNA3vZ8sOriI3UQ0xoWpJdArWrSiRiJfyftLDP78RY5tMZ\nzjVc2DleQLq8p/9F/jW/ES+k8KMu/2fv9ST3+Ri1AOV1Pr921bOssS+jBVyapmnzjgJ1me0Qeh0N\nUyoxhGKmEuGutm20h3OEJxXRAwbSuQxSD4ASPLFnKc27XgkztYSg1u1w6+JBBlomCGR9zIzBVCHa\nUAuYT6bqm/zb9uuQ03Z9MXfZQDyTwKgpEgc8IltCPDGz+FIPU9M0TbvMNEzwAYjbFW4N72N1bBTf\nAOGCG2uwqseRiqJwxQnb8EVNEN4dOHZ9uUmSXVvjkzf8mP/W8QAARlVhVAWlik2ggas9AJb0WN49\nid9a7yFmlCSB9Cvl1txSl/+1+FtYQld8NE3TLqgrbFdXwwQfU/jMViK8b9tvsTnTx8xNDvabZ8Bs\nnBcbBX7SRbRV8ZIuvq2OnT4tfEFgrv7ftZgkvVrxlzd9j3sSYyy2otzRtJPxTQI34uO5Bula6FI+\nk/OiM5RDmv6xqp1Rqf++2GnwkU2PMWA3/nPUNE2b146u8TkflwbREGt8AHwlKDkWpZdSbPeaSF09\nS8hyGmqNj/ABBSu6J4hb9W/5oVwTk/taMPOSQFbhmzB7R4V7b/o8a+z6biZP+TydWwKGItGfxjY9\nElZjtKU4FR/B4vYZBtPdmFmJdBXFDsnNv7GZP23ZfamHp2mapl2GGqbi4yPojadZvOkQ1RaP7IEU\nw0OtjfMMBKj2KuashSl8VsXG6QvPsjCWgZh7pBcXjL3F54FNf39C6PlMegmPDC9BuILFqVkWxeca\nPvQAlD2LgOmyeMUYwgcnKshtqvCX7Y9e6qFpmqZdOfRU1/zkKUGmGuK9Hc/TsmgOe06CVMfWxMxn\nfsKlY8UUty4dxAsoFken+UhyCx9MPceiyCzLeibwTcj1Sv72lm+R9y3+fHqAv51dyi3b38fnfvYW\n2uN5+lePEjQcAoZ7qZ/SOSm6No8NLuHm1CC/3LGZA+MtKAmZ5YqO5ixfzK7mnYN38oVs16UeqqZp\n2uXvCgs+DTPV5foGe4Y6aV5YYHo8QdOkQqwpUy1GL/XQTklZilhTkVLVZvPEQlq3Cn5Y2Mi9yWux\n0vUmq0qCMBVck2NzoZ8fVteyc6aD7niOZLBMdO0wLcFiQ29fP8pTgmw1xHsGtvGe6C7uHvwQqYeD\nFHrr65xGx5r4hrOBlc1TPJ1dzJvDe1lkze/3WNM0TWscDRN8AETR4I//5W6SGcis8FHjkfk94aMA\nv74Vv/JCE6ndPkbVp21LvR9XrldQ6gSjq0Qg6OC8lOQ7c9ewpH+CNa3jl3r0F4SvJEPTTUzkY9y7\ney2xp8JUOyG0do7MRIzIXpu5SpJdQM01uTe6hj9oOnCph61pmnaZaqxqzfnQMFNdAJ3LpqkNlMis\ndulbPYYKXPpDl9QpXkGh6lWM/L7kkdDzyoerkpQU+j1Ed5lVXRP4viA4A6JksH+0lbxzeR5XbEmP\nNd1jGNLH2B8it9in3O0y0DrB8qVjJA74mHmDQilIMVtvaaFpmqZdIArw/fNzaRANE3wChsv65lF+\ne/WTRA6aDO3uRFQu/vCVqVApB2Uo7KxERVyEx0l3likJfsIhNiRPCD2+JXAjAlET9LTN8eHOZ4iF\nqgQyCisvIG0jhUI2wgKms5CuhklPxlEGoEBWJc8e7OPQY71IR9HyosJ4KUqqOc9d8W2Xeriapmna\nZaRhpro8JQhIh157BqMCVlbihi9+MFC2T/BggMR1U5jSZyYXwY84mJZHZSyC8F5JQMpQRF8OEJk4\ncW2OZ0Ghx+cjb3qYX4q/yErL4l9CJdKeQroSUKSrYVJ2iZrfMG/RaUvYZQB8i3pgVKCUwM7UrzfL\nCqsI2XyYorr8nr+madq8coVNdTXMt0rUrLEtvYCtsz2U2xVu1Ee4F3CFjwJlK8x8vark2/VFyLE9\nFoV+j5VNk2RrQToiOcJmjc5gju/uv6FeETpSiFIhHydq1CtCRxQ6DTIbanz+ln9lUzB7rPP46uQY\n9y3qw4n5qIBPphyiHLYwxOX3gWwNFtiwYojnX1j8SlAcDxAdq5dKlQHlNsVH1zzOdQE91aVpmnZB\nXWHBp2GmuuZqYQ4camN0JsmqGw+8quXD+SY8QWDKgL4SbesnSSybQ7RX8C24c+OL2NIlaLjErCqG\nUIxX4izfeBAvcdxWc9PHLB29Q3CDguwqjy/e+mXuDFePhR6AjzU9Qbm/hhfy6Vs8ScSuXZahB6Dm\nm0ihUBHv2HEE0cMS6dR/KLVKVF+Z2yO7LuEoNU3TtMtRw1R8Ck6A7u45xva3smN8Uf1AwPMd2xTI\nmkC69WkY4UFv2xytwQIBw6XcZLHN7Ob+rWsQjiDRk2VlyyQRswZIWoMF+nqnObi/HVmWiIJJIKMQ\nSuHakolbPe59y/9mXeDEhctpr8Sdz3wcI2PSsnKGJfEZ3PP+5OaXiFmju3uO8XwbKKg0Q3QMlBRk\nlyv+6/qfcpU9r/fsaZqmXQYaq93E+dAQ366eEjiewe/1/xwrLQlOS9R57tGlDIUf87CW5PEWVWhe\nPU2522XfoXbe2LSLP+u8n0O5FNW5EOtXDfHuGzfzyZX3c3f7U8xWw8xWIzi+QXckWw9QjkDWBKFZ\nHyckySyRfPINP2K1feLUTdor8bn01Shf4LfUWJK8/EPPUStTk3SsmEJJsLOAgswSyR03bePX44cI\nCD3NpWmadkEpUMo/L5dG0RAVn4pnMV2M8BcvvQPfglpc1df3nM+CgAF4gs5kjnWpEfpD0/z95ncQ\nWjfHt8c38Hezbyb2oyjhTsG2Wj+3vXEvH4hmAdjUfx8Pllu4P72a2WqEpgUZMoNNSFfg2TB5Z40n\nb/0snWaUo1mzqhyeqAT5q/0fZuqxLsTqAj2dc5fFIYWvxVOCTC0MQHOgyHQlSipYZjxZQxwMMnYr\n/K87/4V3RkqADj2apmna+dcQwSdoOKTCZYYOJREBhZ9wMGat+nboc3GkPxapGqFIlVioSsU1uTG2\njz/b/g5Su32KuSbGvSZaDnugfKopA1kT/NPgjbSuzPGm8AiWkLw1nObG4IP8W3Y1+VoQp9/A/lGS\nzFLJ7179CE1GgGcqHjur3fzbyEZGZ5IoJVjZPYGzaYLOSI6YVT0fL9e8dTjfRMmxeG/PNjZF9rCt\n0ouBz0wpQiFQX+/0mUNvYqJ7C33WNFcHMrQYkUs8ak3TtMvcFTbV1RDBxz8y9aMCPqktJplV5yH0\nAEZNIGtw8/V76Apm2JnrZNePl/GHh3+ZjkcMzIoiceDECkz8kEdsGNxtCT7V9CH+eKmHnZZUF9ZA\nCYxZCzsnKHe7hNoEyesn+dKeG9jZ3UXeDTBRjCOFYlnnFHGrQshwaA4Uz/3JzHNVz2RsNsEfr7+f\nX4tN8EjF4uuHr2V8dxtmUeC1+LQvmaEznOOJzBK+XriW0Zkk37/h86y0w5d6+JqmaZevK2xXV0ME\nn5pv0BnOccBowwuKejo9x2ku4YGT9MCHXel23rjoZf710U107fVIHDAwaq/xQVD1v7WKCqtYD0Hg\nwwsmSkIlCeW2+k0rbT5uNkJHKo+jJEHDYXFi5oS7uxy6rJ+OghvASQf46uhG/smxyD3UQeyQj7VK\nYq7OovbGmXmpjanuOIl4iataxzGlz58cvouv9N93wg44TdM07TxRqqFOXT4fGiP4eCZb9vWBI7Hv\nmMYfTiHL57AAWAFKMLBimJ37u0k/1sGfvfBB2nYqhK9eO/S8hnKLpNgp8AMK3wAv4tHeM0fpwTbK\nlQgjUyGGrVbCbUU2dA1fttvUTyVuVVi5coTdwx2IWZtkRpFeIal2OixpmqP91kO8+KXVFMsh8sEg\nW5eaBG2HfeMd7Fhgcb3OPZqmadp50BDbh0zpsXThJOFDJtOHzjH0UN9x5TU7FGoB3rpmB+FxRftz\nPlbxzANJrtdgblOVaquHE1XIRUWuu3qQX+ndjBOF8LgACUZJUh6JMVpMXratKE7FV4KFkTTSUBgd\nZXJLoJb0EWWD5bFJVsdGMEsK4YEX9SmPxMjtaiZ0yCLj66kuTdO0C0ap83NpEA1R8ZkpR7m25RDD\nZg9YCiqc9VSXcAX2khyWEhza18ZorpOO7NmV+WpRSW6Fi8hb4AtCC/Ks7RhjYTjNRxKDfHpxhdSP\nbYrdEmUphA9DO7uY6oky0DaBLd0rpvoTsyqMlxOo6QCuoRBW/XkbFcGDw8sp7kvQUVXED/j4poG7\npExLU45PLrmfN4fKNEhG1zRNazhqHkx1CSH+CrgL8IEp4DeUUmMX4rEa4ttkrhTi33esry9oNv2z\nDj2yWv/DxS2zvGPxDpI7TJp3KM62AJPvE1iJKsJ5JfS4StJkFglLm1C0inQVkVGBf6STvPCg9nKC\nZ/cuwvXPwwrtBlHzTXwlMIvi2PsA4AUVtRdStG49snaqpGh62cefCRwLhYZoiI+ppmmadvb+X6XU\nGqXUOuCHwJ9dqAdqiG+UjZ2HaW/N4sR8ROksi1QK3LiHF/XYvrOHb229hvC0d1bTW0cJFyLhKrK9\nwoauYWq+wWghwZuiOwEoZUMIH6JjPsIXx7q4u2EFjiRkOGf92I2m6NpMFaMAJ+7IMxTVFu+EdVVC\nQWBOMr67jcfzyy/ySDVN064k52ma6xynupRSueN+jHDWJYnXN++DT9mzGC0lmM1GiA1JZOXsyj0q\noEgtyLJyxQiRwyatT1hI9/X/7rXMDhjUkorMWBw3b/H4iytIV8P80eKfsiFgA7B+ySHcoEA6ivhu\no96NHFCWItpa5GChiarXELON5yxoOKxuHqfW6p5QsVOGIjxinNB3rRYRKEOxct0h/qj1iYs/WE3T\ntCuFor5T+nxcoEUIseW4yz1nMhQhxH8XQgwDv8IFrPjM+2/dmmewa7AbUZEUuxX4AuRZBEFXkC+E\n6ElkCI8rArmzn9MsN0lCG2eoHEyxcc0+bk3tYXe5k0+0PMJiK3rsdlGrSqldEj/k4VtgtpVxp0Ig\noJAJ8Z7+FxkqNZ/1OBqJIRRV36SlK8vMcBJZqWduM2cQnnzl/ZSuopYQVDsd7u56ijZ9gKGmaVqj\nmFFKXfNaVwohHgQ6TnLVnyilvq+U+hPgT4QQnwR+F/jzCzHIeR98olaVQLKCsS1GtfnMw4qSIFsr\n9LfPsv/lLvY/v5hk7izbQggotkvSaz1CVRviDtclDvKx5CgkR4HoCTf/0677+aXr+7DyEaopxbqF\nIzw/sgzlgXAs7h9ZxUDzxNmNpQFJ4SOEQjivlHwCcwK78Mr74YQluQGHH775syyzbOq9RDRN07QL\n5iL12VJKvek0b/pV4MdcoOAz76e6Sq7NsvZpavF6teeM+3caCr9msDIxgVmUJPeffS8sJSEz4INQ\n9LfM8r1b/j/+oOnAa96+17S5ZdF+Zm908MKKl8a6sLOCtdfs5zdvfwTbuHz7cp2MIRQrmiax2sv1\ngyB9sAr1Rc1Qr6Rl+yVfvv1LrLACWEKHHk3TtAtJAcpX5+VyLoQQS4/78S5g9znd4SnM+4rPVCnG\nyEQK0V3BdyUycwbNKxWokAc1ydMTiwiPnv0pyeUWiWcJwsNQ7FNsSB1mjX3qU/VMDO5MbWfRtTP8\ny87rETtivOXdz3FjbJB/HtlE15Emp5crTwkqnoUtPVwlkSgChktrosDE4QhGDcLT9V16hU6D2u1Z\nPrvuG9wcdPVOLk3TtCvLp4QQy6lvZz8EfOxCPdC8Dz4LohlqrQZTgy2YVYFvnX6qlI6gp2eaiFVj\n/Gt9RDJnN1VWi0nKLYJKq88n7vgJv5McxMTg9QpmhpC8N5pjb2Ccf8q/AbsKj4/1M9cSpjOcO+Xf\nNjqJYudcBzMzMXq7Zrmp9QCT1Tj7ci10RbOk+0PUBuMoCdlFBh/9yH28J7rrhA72mqZp2gWm1EWb\n6jr1MNR7L9ZjzfvgM12JkimEkE59O/ppn9qsQJmKw9s7ET50zvhntTmukpLMbaoRiNTojhdYERgn\nIE6/6uQpn/c+/9u0PWEys86nkg9jtfqXdY8uTwmKns3MgSY+eutD/GZyG21GhJJf4+HmOL/72K8S\nSZZBQDUu6Hr7Ie6K7gLAUZ6e4tI0TbuIznWaqtHM++CTsMscdJtR7VUonF7gOLo1unXVNJN7W+l8\nqt6DS4kzCBuiXomophTKE3iu5PPLv8aAHTqj8d9XilOYiqA661u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mn99y2apB\nVjcBX4ge1toCdEp63MzuWqCS66IGOTXMOd2lx2V1q8uXv5iTfcA1kq6S1EQ4WXdnnWuqh53A3dH2\n3UClq2WHga2S2qL32C003oTUqjmZ2VHgHUmbol23APuTKS9V4mT1PTNba2YbCH/3XlxsTU8MVXPy\nc7qrh9Q0Pr78RXxxsjKzEvANYBfhh/gfzOytetVcRw8Bt0o6QHhl5yG4KKu9hFcvXgXeIPy9aLSn\nzFbNKXIf8ISk14GPAD9JvNL6i5tVo4uTk5/TXeL8yc3OOeecaxipueLjnHPOObfQvPFxzjnnXMPw\nxsc555xzDcMbH+ecc841DG98nHPOOdcwvPFxzjnnXMPwxsc555xzDcMbH+ecc841jP8DUQmOwPob\nlgAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "plt.imshow(np.angle(roots), interpolation='bilinear', \n", " extent=(real.min(), real.max(), real.min(), real.max()), origin='lower')\n", "plt.colorbar(label='angle (rad.) of final iter in Newton method', shrink=0.7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, not a simple boundary!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you're interested in this sort of image, you can find whole galleries on the internet. For example here: http://aleph0.clarku.edu/~djoyce/newton/examples.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lorenz system " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final example of a complex system we will look at is the [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system).\n", "Initially, this system appeared in what is a classic paper of Chaos theory: \n", "\n", "> Lorenz, Edward Norton (1963). \"Deterministic nonperiodic flow\". Journal of the Atmospheric Sciences. 20 (2): 130–141. doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2.\n", "\n", "It consists of three partial differential equations that can be seen as a simplified climate.\n", "Inspired by [this](http://ipywidgets.readthedocs.io/en/latest/examples/Lorenz%20Differential%20Equations.html), we can build our own visualization of it. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import clear_output, display, HTML\n", "from scipy import integrate\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib.colors import cnames\n", "from matplotlib import animation" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def solve_lorenz(N=10, angle=0.0, max_time=4.0, xmax=1, zmax=2, ax=None, all_points=True):\n", " if ax is None:\n", " fig = plt.figure()\n", " ax = fig.add_axes([0, 0, 1, 1], projection='3d')\n", " ax.axis('off')\n", "\n", " # prepare the axes limits\n", " ax.set_xlim((-xmax, xmax))\n", " ax.set_ylim((-xmax, xmax))\n", " ax.set_zlim((0, zmax))\n", "\n", " def lorenz_deriv(x_y_z, t0):\n", " \"\"\"Compute the time-derivative of a Lorenz system.\"\"\"\n", " x, y, z = x_y_z\n", " return [10 * (y - x), \n", " -x * z + 28 * x - y, \n", " x * y - 8./3 * z]\n", "\n", " # Choose random starting points, uniformly distributed from -15 to 15\n", " np.random.seed(1)\n", " x0 = 4 * np.random.random((N, 3)) + np.array([1, 1, 1])\n", "\n", " # Solve for the trajectories\n", " t = np.linspace(0, max_time, int(500*max_time))\n", " x_t = np.asarray([integrate.odeint(lorenz_deriv, x0i, t)\n", " for x0i in x0])\n", "\n", " # choose a different color for each trajectory\n", " colors = plt.cm.viridis(np.linspace(0, 1, N))\n", "\n", " for i in range(N):\n", " x, y, z = x_t[i,:,:].T\n", " if all_points:\n", " lines = ax.plot(x, y, z, '-', c=colors[i])\n", " else:\n", " lines = ax.plot(x[-10:], y[-10:], z[-10:], c=colors[i])\n", " plt.setp(lines, linewidth=2)\n", "\n", " ax.view_init(30, angle)\n", "\n", " return t, x_t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at a couple of trajectories using this function:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "max_times = [1, 3, 5, 7, 9, 12]" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VvzzE+LLX+UbDMupCSQAGPIdNNrS6YVqcMnYly2nY/VmuuuCcYfm9eUB2/HkoaWfZ3N2J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6rkyTO/y2zPVJAQKkwxYkwXlVURiorShEIZisImI8qSVNb0oHkcyqwybjph0X7vU1tQBEBDNPKe\nyxMcLqZtsyG2kam5WTPtliDp+Ogzg/zbOee/z6uV4WbRebO5eOYkkBLbL7j9ybdoeHUi2bxHeS4a\n3m8Q6YFY0mFZwscE52bsXJfZeE8xesJd9OKVtjEAFBkw8Yw3qfAFkLog7XHI0z0YCdCyEnIVsk0D\npC4QjkTLSDwJCEsDf0caPZLlgkVzuPzqk1naeAOjfH0ENQPT8fOrTbORwMXjJ1OZl89f1qx1px3X\n1RGR9dT540gpabc1ko6P7nSIK89ZeOhOrjKkfHnhGYxrP4qM9PK/TafRbuZR7Ety1qiHuG/1V1iX\nymOXFSfpvP8kGVM6tNspXuiehiYkMdtHRzpMV9otBprMNagGhUG5J84oTy+Tz9nG42/N4XcPn0c0\n46fESHLm6A3ccOILfPOMv3PVsa9xXNlOgppJa7SQn/35Eu58YgFSaJTO6+FL09wJCXnCg18Y9GU8\n9PhS5Dkeyn0ZbKr445oCHI8bo2NKuhnpTbt1w2ydpPTSkcznnFPmHJoTfBipZOgj8uke/vfkK7lt\n5lcY7YxCAN78DPllfZRUR8iv7MEoiiE0GC/Gct/8G99VWyjs81ERyiNtWeyI9AzMgQCLG7bziZqt\nGMLtDog4XmKOn+aOEkqKh3YhLeXQ+PYXz+acye7sEdsveOClVfzh1nrmjXiVp+LXsDThIepk95tW\nDG4tlT4nyz+iYcZXP8M/Xm10m9+BupGlIMGr6fx9dy3gXqSnBBbzhx9fRKnHh2MIorpJKM9LUBp4\n4uCJSTxxiScmMeIQ0A08mkDU9+HNOlzzxQV84WtnsrH9V1Qbz1KiuU/qu7iWeze34NMNvnDMccSz\nWf62bh0AlcUhLhq9GS0XE9E9MbG7DL9PVZ9WXEIIbvnU1RS0lBCxQ/y8YQGdZogSf4ILpvyeN5Ze\nyr0dC+lwUrRYCWJOFvtdMeEQcTK02AneiNZgtri9B83ZQtJZL025CQWx3PPynq63ecF6gv4M0xdt\nYHO6mG//z5e4/dGzWF5/FE29xbTHw+zoKueF1VP52V2X8rX/uZqVO0eDBuUnd/O1E59glC+CB41i\nzW0V2pw2sIHRuRbWjP9zPLphE9IDQnNYNMotfJqUFnHpIeYE2N1YfkSMK1XdZB/TpNKR3LPwy3Sn\nYty/+XXW9DTQa8bQhUZtqILLJ5zEtNLaA75+dlU1T23fwtKWXdQVlRzw9w6lny1/hj8dvxlwp3mm\npZek9KHvnDog+6MMDTd97XzE/z3JU+u34vgEr27eyZXfvJcffOlKptX9B6+2/JV13XcwIdBNuSdJ\nxtHYli4i4LuQC8d9g57eJM8v3Qx+gd8WVJYVILYLRoTyeaOzmqZoPjXhGEf5UjzcdDWP/foxbvzp\n31je3EofJvhA18CnudmUKR1MXWIKG3TJuHHlfOs/zmP8pGo2ddxMwPxfyo0AuhCktdO49sUAkOGG\nY45jVLiA3y15i95UmplVVTzW/BZPzHPHDnXbNmkZIOl4KW8/bgDPuDIY+X1e/nTBDVz65K/oqYQf\nNZzB12peZrSvl0tOuo0nl57Ei/yRmPYHLihdRjcZdAQaAok7hR7g0c5ZTMv7CTVjLgFgQ7IKJ6vR\nlHRLTSQcQUJqhAwICB2MNKcEt/GiPJrJZ9XT19rO2vUVvP7gOEgGAEFW2lg6IAQY4A1a1JzVyJcm\n/IMqbwwdQbkeQBOCNZ0FxPPihMwgleE4tqjhltWjicvVICBckOSiEnf6fZftuONKHQ9T0qcPxGk/\n6FQydJCUBPL50syzP/Trjh8xiqe2b2FxYz2XTZ5+CPbsn1vV1kJt2SZqfClsKdll6cScAD3ZIN8+\n5+rDvj/K0PKDr55H9X2v8ofFy3A8gpZsnC/86EHOnjuRqxd9gtOnf3a/3z8+93/TsvnxLc+SNdzZ\nBsfUVpGfKzVR5gvREIvwbPtCrgs/QpHm46yilTzSdBO3/uBHLF/bwC/vXsyOnj5sjyDJPk/aEoo9\nXhYcczRfuOwUQgGNFc1fpFQ8QrkRwCt0shzFDzcsZEdfA+OLS7luxmx6Uyluz80iWzhhLBuSz1Pq\ncVu2dtsGUSdAZzqf/1h0xWE4q8pQUxLO566FX+Jz/7iZvkr40Y4z+MKo15mZt5uLTniFLZ1b2Lj2\nerbPu4kV8ScxnHUEtQgOGn12BYWBT3D1+PO45a/f49KFfaQdg1d663CyXjb3uRMK8jVJowmTDCjW\n/LTYCcb6u9HZzCvxcVAVp6DKnZ7f0xxm9WOTAQFSUhgW+GdFOHXSW3yybC0AOoJKPYhHaOzszacn\nL4bX0ZkZcif0RL1f5U+r1uF43SWKzx29jbBuY0qbFttD1A7QkijkpkWfGohTftCpZGiAnTVmHD94\n/UVeadpJRyJOeejwTlH81muP8KtZ7rTKqGMSlX4iTpBtO6qpnjowLVXK0HLtZSczYWwl377t76R1\nsIKSvy/bxPNvbOaU2XUsmDueGRNHUlwYwrIdNm5r5ff3v8aq7buRQXfx1K9ftYCVMXcdv2KPO8vy\n15sqOL14BHUlLZTrAWb77+T2jc18dtJtPPDLq8maFuu27GZzfRuW7TCqqohjptRQmO+OsehOvMKG\nnV+l2ttOWe6in5Uj+dPuL/OXzRsJGAa/O+M8/IbBfz7/ArFMhrk1Nfx5+6vcc/wqACKOScwJ0GcH\n2bG5hvCM4MCcZGXQG1lezN1n3chVz/w/0lUxbm4+lfmFW7mkYiXjy9qoO+0HLN0+Dq3+M8yZ9hOm\nTaimKBzEtGzWbt7NT2/7FVdc9DAAL/XVEbf96LafFd3u7MU8NNZJSVE8QFVeilLNT6eTptbfywjv\nClYmRrItVU4cP3rIy4iTHQjGKC9pZlbJTuYV7CBPd+sX+dAo1wPoQqMpksdObxIBjMKHT4+D/0K+\n+5JFWtigQX44yRdHuklUj2ORcAJEnSC71o3BM+vISCOOjKMYwkqDIeaPHstzO7dx2+pl/Oe80w7b\ntl/YuZ0x5auZHOzDkZJGSxB3fMRtP/ONSw7bfihD30nHH83fJ43ixh89yLruLhyvIOORvLBmGy8u\n34awwefRsR2JZTs4HrBza1meVjea0TWlNO50n2pTGYu51TW8ubuJl5Jfoiz0Awr8UIWfBeHneWPn\nsfRpn+KU6uuZNWU0s6aM7t8P2+llV+Qhmnv+SKV3O+P8XsIiiCYEpjaVv7Vdz8+WrUYTgpsXnEtd\nUQmv7NjJoxs24jN0TqgbSUXqCWr9SWzp0GjpxKWfqOXnypp/HYhTqwwh1SVF/OW8r3H1Y7fQM7KT\nxdHxrOyr5l9Gvs30vBbmjtsK426iJfZrHllSTUdnMZpwqBuzm2s+1YQuJDvSJTzcPh0EFFDE1qRG\nWzJMZTBKgaaxxbIpMA1CuVn7XU4ar2ZzfH4jx+e7sx9jxT7EUZKglkXbZ8kPARRqPsLCixCwsaOI\ntlAUqUlKsmFqCyI42iheaP00/6h/GScoEUJySd0mKjzugrSNpkHMCdJrBrhx9hcO/0k+RMSBSoQf\nwOBYROsIs76znXMfugevpvPoxZcxubT8kG8zYWY57eGf8+jcv1HlTdNjZ1md9dNklvB28xhunX/v\nId+Hg0C8/68cciom3uG1t7by0z/9gw4z7Y5VAJASkevNkhr93z8qmM/9v/pXDENna1cXn7jrbmoK\nC/jZOWdyyeMPEDQ8PHjmRKrtr1MQyJCVkqiTISFNso5G1CrDlIWAjV/rImy4C8HmCQ/5mhcjtx3H\nfxk/33gCf1zjPt3+/NQz+fTEqbREo1x4z330JFN8ed7x3L/rWZ6c+zAlhkmHnWFtJkCTVcqS7eO4\n4xN3HeYz+ZGomBgELMvm6w/dx8rC9QiPxM7CUf5uLqxay5RQKx7x7kVVHQmrEiO5edspaEGB1umj\nLn8WLzTV899TV3N53dtsiIdo09MkOouZXxkh5DXJSkmfkyYhDzxjzUCQp3nIF150IbAdwRu7yrDK\nupBAOF3I7KIeHPJo9dzBefe9QURLgw4jynt45vhHyddtWq0MG7IBGswy3twwiT998rZDeBYPmg8U\nE6plaBCYUlbBZZOmc9/GNXzhuSd48MJLqTjE3WVfW/w410x4mypvGlM67DA1Yo6fqB1gatdFh3Tb\nypHtpOOP5qTjj+aNpdu4/ZE32dLeTdYQ/bPGAHwWnHvsBL51/VnoudXqa4uKMDSN5kgfk0vLOb9u\nAk9s38zXl7Rwx/z76On4KmOKmynV/RRKP1nNotyI4MhehHDXbfKKED6xd2aLpU2j13MDX3ypjWVt\na/FoGr847SwuPHoSKdPkhsefpCeZ4sTa0bzZuZ2vTFpKiWGSlTY7TcPtIrMCnMHlh/s0KkOYYejc\nfOmVPPjm29zS/DiUZml0SvjllgXowua4kkbG5XdS6o3jSEFrJswr7ePY0FVFeUkckJzsn4GnsBCa\n4E9bxvLZscsZH0yyKxYgVNbDYw0VzC5Mc3R5D2V6gCIJWWlhYuPIPWOmNbxC7y/WCLCutZRmLHxl\n3eAICjKFHFvcjYOfTN5vuObBNfRJNxHy+Ey+O+kt8nWbjLTZaXmIOCEiZpDLy68buBN8CKhkaJD4\n3txTWdPRxvqudhY99hduOeN8ppRVHJJtPbV9EynPYq6qcKdJtlpZep0gXVY+axtquPPTFx+S7SrD\ny7zjxjHvOHf6fdOubtZt2kXWtDm6tpxJE6sRYv8HNq+uU1dSzObOLta3t/OjkxeyoauDLT1d/MsL\ny/ndgvvIepdgZO7GsDdgiPe+fDnSi/DPJ+O9kNs2erht9XLSlkV5MMTNC87hhOoaMpbF5x99gnVt\n7YwqKGBe3ShWRG/jkpKdSCnZZVn0OUG67XzWbBnD1y96/7XQFOWdLpk7h9Mik/j+M39lfd5WPHlu\nJeml0Vpe2XU0GdPAsTU0UxLEonxkDOEB7+48/n3ReTy6YxMAOxP5RMU5FIonGSV9bM9KKke1syaS\nxytvTuGUsS0cXdGTi4l3x0XKNFjWVEG3ZhGu7MSHIJUOMtEQjC3uxiGEmf9b/vXxZrb1dSP9IITk\nwvGbOLtoF1JKmiyLmBOi185j7bqj+dZnZh3OU3nIqW6yQaQ3neLKpx5iXWc7mhBcMmEKV0yZyaSS\nsnfdOAAcKdnQ1c7Wnm4uHj/5A21jfWc717/2ax6d8wTFhkmfnWVN1kurVUBTpoQZPf/NmScPmQJa\nqkvgCPPjF1/mrhUruXb2sfz7qSfTkYhz2ZN/Y1tvNx5N49KJ07hiygzGFWTAXAfWTqRMAgZCL8fR\nj2Z1TzFPbN/BQ1vWkzDdApDn1o3nhyctoMgfIJHN8uUnnuKVnQ2UBIN8Z/7J/GbrXTwy6ynydZse\nO8varI9Wq4CGVCkL+T/mTBs/sCfmg1MxMUhtamzlF689wfZAAxQeuEvL25TH7+b/G+NrKnmrpZlL\nH/8r2PC92cfwL7X/hSbbeam1mmYtQ3XYLZTbE8mnrbkCr+0h7LXw6g4ISVZKTE+WvLIeCvLdKtZZ\nS8dOlLKwrB2fbuNoNaRCv+G6J9axtHUXTsCdPTZ5dAsPzniGgObQZWdYl/XTYhVRnyjjsvDvGXfU\nkFnA+wPFhEqGBpm0ZfGzt17lnvWrsHN/mxF5+Uwpq6A8GMKnGyTMLA19ETZ3dxLJpDE0jVVX3dA/\nNflAmqMRLn76N9wx50kmB/vISJs1Gei0gzSZJSx94wTuvvqnh+MwDxZ14T/CvN28i88+8CBloRAv\nX3c1PsP9vP/ojZd5YNPa/pM9Kr+AyaXllAaDeHWDeDZDQ1+ETd2dxLJ7Fz4+bsRIvjHnRGZXuRfu\n1liM6x99gvXt7RQF/PzkrDP4/sq7uWfOUxzlj5OWFqsyGt12kCazmFWvnc4d135/AM7ER6ZiYpDr\n6o3z0LK3eb11I22yh6yWAUcjbIc4sXgKN5yxgPyQWxi0N51i5l2/Awm1RiGLPzcHeq9CEGNjTwmP\ndFRzdHkDJYHE+243kgohU4XMK+yiKjd9nsAn2e3cwLWPvsjWSBeOX4KA6vIeHtQnI+AAABAiSURB\nVJj9d6q9KZKOxeqsRpedR7NZxLbXz+E313zjUJ6ig00lQ0NZfW8Pf1q3kqfqt9CbTh3w90bk5XPy\nqFq+OnvePx1n1BSNcNFTt/DrY59mXrgDWzpszZo02yGazRLWtI/iF3PuIuD/5wnVIKMu/EcYKSXn\n//leNnV28o2TT+Tzx+1tpdzS3cld61byzI5t9GXSB3yP0eFC5teOZdGEKUws2bvQ8PNbt/Ht556n\nL52hprCA7y88ja8vuZc/zHmamaEeLOmwKWvRkouJ5c213HLqnRjGkBpNoGLiCHPu3+5hfVc7Wkrw\no9MX8JnJHmTvl8BpBmBJ6wiWRMrIahbCk6HAl0TTHCxbR3c8+B2d0b40x5W1ETDcbjqpj0cL/zuP\nby/m+y8sJi6zOD73z1ZSEuWe2U8zIRDFlA4bsjZtdpAms5Sl2+u44+w/DrWK0yoZOhLYjkN9pIct\nPV30pJJkbZuAx8PI/ALGFZUwIi//PbvQ9rW2o42rF/+RX856npPC7ThSstPKsNMM0moV0ZQqYU70\n+5x50pDpHttDXfiPQK/tbOCqhx7Bo2ncfvFFzKsdvd/PLcdhe283W3q6iKRTZG2bkNdLdV6YCSVl\nlAdD+8XErr4+fvryqzy3dRsAp4yp5TOzpvOdt+/ht7Oe49i8bmwpqTezNFkBWqxidiRKOUf8nONm\nTDych34wqJg4wvx+1VJ+/tZrCAtCtoe7Fy1iZlUYmfg9MnEvgv0flpOmgSYk/lzisx/vCYjgZ2hI\nzOYnr7zGi/X1OH6JNAAkFaURbp/1PJODfVi5B+bddoDdVgnbYuVcGf41E8eNfvf7Dm4qGRrupJQ8\nvGUDv9rwF347YzEzQj04UtJsZai3grRbYdrNArqXXsyPr/r8QO/uR6Eu/EeoPWOHvLrOd087lc/M\nmIb2Pkn/O+3s6eXO5St4eP2G3EOEwddOnIfuE9xR/1d+P30xEwJRbClptDLstIK0WQW0Zwtw1nyO\nb332skN0dIeUiokjTF8mzYn3/oFYNouWFuQJL/+14HQ+OXkSyCikn0NmXgNrA9JuQeQqsksMhD4a\njHEI3/HgPZmtvT7uXL6SxzZuxNQcpE8iBSAkddUd3Db1Bcb4E9jSYYdl0mgGaLWKaMsWUFT/Ba67\nYEgu3K2SoeGsN53ixsWPk/K8wc0TX6bCk8kVkcvSYAXptvNoNwtY8eY8/nz1fw/07n5U6sJ/hHKk\n5IeLX+KeVasBGF9aymUzp3PGuDpKQ6EDvmZ7dzdLGpt4Zss2Vuze3f/HOW/ieK6ecyw3LXkOf94S\n/m/8qxQbJpZ0aLCyNFrubMp2q4BNr8/ntmu/fZiO9KBTMXEEenDTOr718nMIQKQFmiWYWlnBZTOm\nc/rYsRQH3QqmUkqQCRA64MeRkm1d3bze2MizW7axqrUFqYP0yv5SF4bH4rS6Hfxi3OuEdStXasVk\nlx2gI/fA3LzkXP7v6q8M2PF/TCoZGo5M2+beDav5zbpnuGbSMq6p3IxHyFzdFIvddoAuO48uK583\nl87i/s/9cqB3+eNQF/4j3N83b+FnL79KayzW/72awgJGFRRSkrsBZCyL1liMnb0RYpm9g6d9hs5F\nkyZx2czpvLxrJ3/c8ixfnLSMK8q3ogvISJv6rEWrE6DTCtNl57H89bncfc2PDvtxHkQqJo5AUkp+\nvvQ1bl31NgA+qWOlHHBAIKgtKmRkQQHFATcm0rmY2NHdQ9zMggaOIcGD2xLkvislxTG+MeltFpXu\nQBOQlhbbsw5ttp8Ou4BuK491r53G7dd9b2AO/OBQydBQIKVECMGW7k7GFZd+6K6APWLZDH/bvJ7f\nr32FY0Zu4j/GLGe0z51hEHNMtpnQY/vossN0WXksWTaDey/7Bbquv887D2rqwn8E2hMTm7s7GV9c\nSta2eXbrNh7bsJEVu1tI5qbLv5eq/HyOqR7BgrqxHDNyBE9t38xtG17mxNGb+NbolYzwuuMr+uws\n2yyNiO2jIxcTy96czX1X/+xwHeahomLiCLTnPv3DN1/mgY1rSVpuDPg0HduUOJZ0z/qeMy9AahI0\n0AyBvd+fROIPZjivbivfqFlFmSeDlJI+x2SrqdPneGm3C+g281j7xjzuuvamw3moh4JKhoaCxdvr\n+cPby1gTb2NEfj7XTp/NJ8YeTYHP/76vjWYyLGlp4u/1W3ipdQ2n1NRzzcgNTAu5tScs6dBmZWmw\nfSQdD21WIRE7yPI3j+Puq3441GYEvBd14T8CPbp+Iw9tWM/SyC7qCou5dsZszhhTR77Xh+U41Hd3\n0xaL05NMgXCLNVbl5zOyIIzX0HljtxsTr3esYcHoeq4ZuZ4JgSgApnRotbI0Wn6S0kOrVUivFWT9\nG6dw17VD+ul3DxUTR6B7V6zi+R3beb2riar8fATu9T+6TxmJ9ycJh5OcVVvPddXrOcrvrgWYlTYt\nlklTf0wU0WOG2LlkAbdc881DcjyHmUqGhoIL7ryX9b3t2H7JSZXNrOypIG37mVpWweTSckbk5VPo\nDyAEZG2bzmSCXbEo6zrb2J1uY1plO2dUNnB+6U7KPG5gOFLS62RpsjR6HR8Jx0u7VUBHJkzn2wu5\n+ZobB/ioDxp14T8Czb/1DhoSEWy/5NSqJpZ2VWFJH9PKK5lUUk5lXj5Ffj9SujHRkYyzKxZlbWcr\nbdkOjqlo5YwRDZxX0kCx4a7SbediotHSiDg+Eo6PDquA1nQBmZXn8ZOrjpilBVRMHGGklMz97W20\nmwmkz+HUqmbe7ByBgxdd08jaNs4B7uNCSPyBDMdWtnJm1U7OKW6kwHBblWzp0G2bNNlua1Dc9tNh\nh9mVLMK34VN87/IrDudhHkpqbbKh4PTCGuo3d1AwMsGf5z1DxtZY0lnNmt4ytkaK2dbhJyV1vIZN\nvj9DdSjGhMIYi2o6mRLsIWzsrWRqSYc+x6TFgm7HT1bqdNt59DlBNndXMi/xeb53zakDd7CK8gGc\nll/DX3b2MaK2lzvnPkva1nm9o5q1veVs7y1kc7uftNTxGVZ/TEwpjvGZ0Z1MDvWSr++NCbM/JsQ+\nMZFPnx1gfUc15+k38omrZg/g0SrKPyeE4JTASJ5s2cr4uk7umPssCcvg9Y6RrOstY3uskF7T1x8T\nYX+a6rw4NaEo08OdTAz2EtL3TrPPSpuIbdFqC3ocP1lp0GXn02f7WdNSw5WF3+Sky6cO4BEPDNUy\nNIAsu51k6iW21rfx5pLXOPvERsaURNE+xLOdLR2S0qLXlnQ6GlHHiy01+pwgPXYefZaf5aumcMs5\n36e0qODQHczAUE/BRxjTaiaVfoN1G5pZs+5NzprbSG1x/EO9h7UnJixJl3RjwtonJiJmkFXLp3P7\nou+THwoeoiMZMComjjCmtZNUeinLV+1ke/1bnHl8E6MK37/i9L72xES3JemWGlHHhy0FESdEjx2i\nJxNiw7JjueOy7xHwew/RkQwY1U022KXSr9PatWi/72kIArlVhg00dCEQub+lRGJJiY0k4zh02xpJ\nBClpkJE6ttSIOgEidpCk42P17lHMt67girNOH4jDOxzUhf8Ik0g9TXv31ft9T0fgFzpeoeNBoL1n\nTDikHUmPrZGQbkxk0fsfDCJ2kKTtZWVTLZ/0X8VFp84biMM7HFRMHGFiib/S2bv/0Aa9/z6hY6Dl\nYsK1JyYsHNKOQ7elk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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 6))\n", "for ind, max_time in enumerate(max_times):\n", " ax = fig.add_subplot(2, 3, ind+1, projection='3d')\n", " t, x_t = solve_lorenz(angle=0, N=20, max_time=max_time, xmax=30, zmax=40, all_points=True, ax=ax)\n", " ax.set_title('time: {}'.format(max_time))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "What is more interesting is to show this plot as a function of time, with particles (climate states in the analogy) close together initially." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 6))\n", "for ind, max_time in enumerate(max_times):\n", " ax = fig.add_subplot(2, 3, ind+1, projection='3d')\n", " t, x_t = solve_lorenz(angle=0, N=20, max_time=max_time, xmax=30, zmax=40, all_points=False, ax=ax)\n", " ax.set_title('time: {}'.format(max_time))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The key takeaway here is: even though the particles were initially close, the difference between them quickly explodes and by time 12, they are scattered through the state space with no noticeable structure or proximity between them. To quote Edward Lorenz:\n", "\n", "> Chaos: When the present determines the future, but the approximate present does not approximately determine the future.\n", "\n", "Here, the larger the time, the larger the breakdown of the \"approximate prediction\"." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Conclusions " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, I tried to present three interesting problems about chaos theory or rather (to quote [Wikipedia](https://en.wikipedia.org/wiki/Chaos_theory)), systems that are highly sensitive to initial conditions. It's quite striking to think that these behaviours can be illustrated by computationally simple systems, but that they were hidden in plain sight until the 70's. Euler and Gauss did not know this existed, Laplace thought that with enough computing power you could solve anything. Science has gone a long way since. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This post was entirely written using the IPython notebook. Its content is BSD-licensed. You can see a static view or download this notebook with the help of nbviewer at [20170523_ChaosExamples.ipynb](http://nbviewer.ipython.org/urls/raw.github.com/flothesof/posts/master/20170523_ChaosExamples.ipynb).*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" }, "widgets": { "state": { "afb5e9fbf0d4439ba86095868f3376bf": { "views": [ { "cell_index": 15 } ] }, "beee02e530ce4599851806dd8f18de65": { "views": [ { "cell_index": 7 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 0 }