{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb) | [Contents](Index.ipynb) | [In Depth: k-Means Clustering](05.11-K-Means.ipynb) >" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# In-Depth: Manifold Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have seen how principal component analysis (PCA) can be used in the dimensionality reduction task—reducing the number of features of a dataset while maintaining the essential relationships between the points.\n", "While PCA is flexible, fast, and easily interpretable, it does not perform so well when there are *nonlinear* relationships within the data; we will see some examples of these below.\n", "\n", "To address this deficiency, we can turn to a class of methods known as *manifold learning*—a class of unsupervised estimators that seeks to describe datasets as low-dimensional manifolds embedded in high-dimensional spaces.\n", "When you think of a manifold, I'd suggest imagining a sheet of paper: this is a two-dimensional object that lives in our familiar three-dimensional world, and can be bent or rolled in that two dimensions.\n", "In the parlance of manifold learning, we can think of this sheet as a two-dimensional manifold embedded in three-dimensional space.\n", "\n", "Rotating, re-orienting, or stretching the piece of paper in three-dimensional space doesn't change the flat geometry of the paper: such operations are akin to linear embeddings.\n", "If you bend, curl, or crumple the paper, it is still a two-dimensional manifold, but the embedding into the three-dimensional space is no longer linear.\n", "Manifold learning algorithms would seek to learn about the fundamental two-dimensional nature of the paper, even as it is contorted to fill the three-dimensional space.\n", "\n", "Here we will demonstrate a number of manifold methods, going most deeply into a couple techniques: multidimensional scaling (MDS), locally linear embedding (LLE), and isometric mapping (IsoMap).\n", "\n", "We begin with the standard imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manifold Learning: \"HELLO\"\n", "\n", "To make these concepts more clear, let's start by generating some two-dimensional data that we can use to define a manifold.\n", "Here is a function that will create data in the shape of the word \"HELLO\":" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_hello(N=1000, rseed=42):\n", " # Make a plot with \"HELLO\" text; save as PNG\n", " fig, ax = plt.subplots(figsize=(4, 1))\n", " fig.subplots_adjust(left=0, right=1, bottom=0, top=1)\n", " ax.axis('off')\n", " ax.text(0.5, 0.4, 'HELLO', va='center', ha='center', weight='bold', size=85)\n", " fig.savefig('hello.png')\n", " plt.close(fig)\n", " \n", " # Open this PNG and draw random points from it\n", " from matplotlib.image import imread\n", " data = imread('hello.png')[::-1, :, 0].T\n", " rng = np.random.RandomState(rseed)\n", " X = rng.rand(4 * N, 2)\n", " i, j = (X * data.shape).astype(int).T\n", " mask = (data[i, j] < 1)\n", " X = X[mask]\n", " X[:, 0] *= (data.shape[0] / data.shape[1])\n", " X = X[:N]\n", " return X[np.argsort(X[:, 0])]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's call the function and visualize the resulting data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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4hvhdWFLSVFJNwpQBALh6uVPUVh3E5O5+9efN/1JBwaGMue1uAPZu+4qE+q3c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IhcFGyGYRjt3YiTtAd2dtpTdZ9q5R7VyX2qlXtUJ/e4e0StAU9EREQsTEEtIiJiYQpqERERC1NQ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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = make_hello(1000)\n", "colorize = dict(c=X[:, 0], cmap=plt.cm.get_cmap('rainbow', 5))\n", "plt.scatter(X[:, 0], X[:, 1], **colorize)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output is two dimensional, and consists of points drawn in the shape of the word, \"HELLO\".\n", "This data form will help us to see visually what these algorithms are doing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multidimensional Scaling (MDS)\n", "\n", "Looking at data like this, we can see that the particular choice of *x* and *y* values of the dataset are not the most fundamental description of the data: we can scale, shrink, or rotate the data, and the \"HELLO\" will still be apparent.\n", "For example, if we use a rotation matrix to rotate the data, the *x* and *y* values change, but the data is still fundamentally the same:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yvu72rE7W8uVeNQ/2UFZVTqwM4Mx+M1PblmG2WPh6dwnNIiPZfTKNnOILqNRq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\ntEFPmDCBpKQkJk6ciFqtZsGCB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def rotate(X, angle):\n", " theta = np.deg2rad(angle)\n", " R = [[np.cos(theta), np.sin(theta)],\n", " [-np.sin(theta), np.cos(theta)]]\n", " return np.dot(X, R)\n", " \n", "X2 = rotate(X, 20) + 5\n", "plt.scatter(X2[:, 0], X2[:, 1], **colorize)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tells us that the *x* and *y* values are not necessarily fundamental to the relationships in the data.\n", "What *is* fundamental, in this case, is the *distance* between each point and the other points in the dataset.\n", "A common way to represent this is to use a distance matrix: for $N$ points, we construct an $N \\times N$ array such that entry $(i, j)$ contains the distance between point $i$ and point $j$.\n", "Let's use Scikit-Learn's efficient ``pairwise_distances`` function to do this for our original data:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1000, 1000)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import pairwise_distances\n", "D = pairwise_distances(X)\n", "D.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As promised, for our *N*=1,000 points, we obtain a 1000×1000 matrix, which can be visualized as shown here:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9Pmx5JYWMUjgfX0/F419jl337a2t87XLEJx6ti9f8peSTOR4Y6UwhFQ/7rzzb\n49serfD1qwmfEMfMVl2m+WSOeldfVMse/s4wBdeKykVZQ6vOgTrgcjvj/KhDSISrXcDrJ9VPBkDx\n9H4sfjLadky08JN5fD3hjZMBIWV03hY/GaVJq5+MpiQIM+FmCnjtqC8OoITqJ6NIiQhwnoVJzISr\nacb50Je8NABwPQWcrzrcTBEZhFPxk3HW4HoKOB06XI4z+7JM7Kvy3o4dXd9YD3gsfjLPRvapYUGS\ncTnN6KzF2dBhluvJAC4n9vS/ngPOhg5PxxlH3uF6jiViQMhs3NeQMjETrmf2qyEAT/bskwNU+vH1\nzF7kHG6HhfCmZ2G+CxlHomrcSQqGwZtCb3YGuNhFnK9dSRWg6RNIhA/Awu9yH3E8OFyPSVIPUCFz\nqPNrbsgiRFQZjs2CSFVfgKKbag+r8e0Y5U4hlajgnbeFPUlg9aj60WgkgNY5c78PSIkK8ll6/JPE\nLmspzHc9/gHc8ZMBlmo1jSYAUynLMUY452r4GDm+jYtmnS3HGMt+MgALl+InQ1XNBgDWWMSZw8NY\nL46+xgJGacyevfsBFh7qkKnfKiBUOMWp8fg/8JPRtluywH0UaGPup04/ePy/okIGAIxpbFWqq270\n6rlSetUeUY+psZ/UHlF046bqyUmPNzUKc4b+pvJtDdclmQiMzBJWOmgMFeO5bWxrHHW59hHlOpZ0\nZNP026D9pma/WZyjRFvW81Edq0PjsjH1GG2DZLsr127KOGp/Xem/WQTo1NV0W0epx5ZMoRpzm22k\naSr1jOxT2rIzy/7yPqVlQ9pEOb+u41rKNcl7Z2Vg9HqdrWPixAhT2pPnyVnuk7N8PvUbUspyLvVM\nYZ1lAshWe4uRa4HF4n61TLKMmifGlHtS75ciHB0jHXeDSj0v74Qin0bdpedVyKF9S8kUJ/nDd4qb\nUgacLYLF4G4EZci94aDaSyS1YJ1hSV/WO1ZsPaA77augUQqzqs7aSM/lfNaAyC7aYwFiADQe/8Y0\nKENVRqjoxDpGLMYKijEV4SyKXXzxD2WiybdGGTd3D3vh5SUKmZwzfvmXfxlf+tKXYK3F5z73OXz3\nd3932f/Xf/3X+I3fYF+bN954A7/5m7+Jvu+f39VX0RnzK88mGMNqM/XHGEOSsDJ7fMfra3zl6R5v\nnbGXvCYsG+eEToJAvns9wRrgndeP8E8Xe7x9tsJXn/ExakzWdmvyMX62NAZYkNAdGmFX1WY3I69c\nXzvucbEKl//7AAAgAElEQVQN2Ayu2GeOV5wcjdVnroSRud6Fsgo9EgKCMWxbOl1LzpvBSYZNVZGg\nUKABjmVmUNUquymVkDTOsnpxltXuOCcYUx0tW9XfJJGi2VhucTMFnAwcOmY7J6y8xZTY6/56ljAy\nsmq9HGecDR2IwHlkvMflNOOs73Axse1r01Vj/9XEYWUAlJD66o+zDZwlU5HlLmrGTYtdFCq0eoSD\nac0EpVKHYsAnIgze4clu5tAvos66GpOQHFCiPLTZUZnuzHNR70zJRaNEBy27mUkMU8o47h1upoS1\nhpUhYlQj7bMalTCK8+PtGGCMQRInVr4WLtUptKImFYrsW8XP5+ArMYPKM8rqyJByCRmkYxtCs+oX\ngRYaW2RKVDz+NZeNOmUqUWCeY+noodpssU3Qj3OuIBQARf1VKMxEpY5Sm7kvdaVPuQqZGCOjHnUK\nPVCXqZotxlgdMssKNLIaLZN4+XsgTE1YGbO0nQD3h5VpY5G15VB9pnUPIzJLW/v/44NzaP1zy/o/\n+e8+9LH7P/tv33f/F77wBfzZn/0ZPv/5z+Mv//Iv8fu///v43d/93bL/J37iJ/A7v/M7eOedd/BH\nf/RH+MEf/EF88pOffG57rySS4fAprFIqYWVOB3z9aiqxyD7+aFWyU379cizHPb7Y42Td4dserWCM\nwT9d7PGJR2u8ezXiE49WuNoF8cIXZlXvcLXnpGbKNFoJ48y7NhoASTh2ToRGxHHHzo7YlnO5Czjf\n9Li4nfFo0xXnxmNhvD3asKSn3iFnVq91zgqpIeDRpis2otYGtJZka9YARwOPy3Zif5vjlcc4pyKE\nYqoRDFayrW8msu2UcDx4Vq8RQDDYzhEnAydVyyBsxAZ01Dls54TTvsM2RKwcxzE7k5AwGoLmcg44\n6zvchsjqLGIfj8tphjeW1W/NS3klsc9uZ05+djkFHHn2tdEYaZkIG+9BoKIyu5kjTvsOBMKFtEHl\nnnAcNW8NfG8wRZ4MTwaenMdIxSYziRpscAbrrqp+rsaEk4EZhuogq35RKrR6z2Oy6VklF8XHZtck\nvAvix6SqMYAFgkZRaCMxqMBTv5kWpavac/CupHqIOcNbWwULcZ9mifOlYWe6Ei4HmKYITb+s6InV\nZTWsTCtsVMgoOtDJXQWIscsUC8YaOOs4ZEwjPFS4GGtqVGdi35k2S2YbVoYMh6IBuF6KCc5LfW1C\nzqnCx3svPjRi26EMZMNEAKAmIivhZbxIaqBkmkuhqtW0fot6gCo82qyarbpMBRSa+g3a/FYqP/qj\nP4of+ZEfAQB89atfxdnZWdn3pS99Cefn5/i93/s9/O3f/i1++Id/+H0FDPCKCpmdZIl8tOmLrSQR\n4c2THl+7HPFtj9gu89bpgDllvH02AGAE8vbZCs4afP2KkczbZyu8ezXi7bMV/v2zPT52NhSbhE4k\np+tOwoCwx7iGop/lZVYbBcD01lvJH3K+4TTQm8Hj/KjDVkLebCWcvyKTM8nW2TdI5uyogzEGN3sm\nKuymmlVTjcSd48i9xysOqKmZMTWOmaIcJTl0knlTj9MVsUYoOJXYZ5r7hgjY9JyVcy2xsCYJnjnH\njE0vk6ogkdOhK4KGiANasoBhtHIdIojYKH8+9LBgNtqm84XiezZUQsEUM057j0TASd9hEiTTSRro\nREwftsbgtO8wi7Piad8VR00vAuHIO4niwBRjIo7GvPIGR4I6eAHB+zJBcuGYIpBCrmFodOIHUAKQ\nzpHKmBx1FsmhoBnxhS1habTd25EweFMcXxVFt1OP2m6KqUDQR9/aX4jp6FlQWyt4ejGOO1ELhVgn\n8V4WNSpceDuKLaYIC6MOkdwPjezMYRLAWSoPEI0xpoR/0fhixTaDarRXRpmxzBorxn7UAJvaDy+E\nDs2Sqc6XCwRFte0Uk6QXaOwlmTimGcDCRuOWaUTmQl0WIeF7lMyYLe252FgaurIa/Vv6s8EyKCeE\nHNCmD3jR5SXbZKy1+IVf+AV84QtfwG//9m+X7RcXF/irv/or/Mqv/Areeecd/OzP/iy+93u/F5/+\n9Kef29YrKWR6x5TN1vD/1ulQglx+/Yq/1Xj+1QtBMmL4P117fOJ8BQD498/2+MQjFjDf/hojGmWG\n5XxPgEySVL+zetOzUfUw1D+IcLENJdT/xTbgjZOBjfinA0BssD7qHUeBPh2KEXmOGVfS95N1V4gB\n4SDU/xgl1P8iQCZH+L2Zohj+Y0E4GvdsEr8bAtBxpHTElDko5arHICtdMsCNGPdvJvbMP+59iemm\naONqCth4j+s54NGKg1oSAa+vezzdz3ht1eNCSAVEzCC7mCY2/Pc9plyjAl9KveuZQ/4/GSduOwS8\nNvTIAJIEyCTi8DOZCFcTn5sIeDpOOBeSAAHIlnAzM+V61dU8Msc9LxC2M6u3nOGIyimzsFl5K+jB\nVMO/IBJdgKQMrHvxWXGmIB5VkWmyNJ3IoyCCkDS+HKdtZlWmpuVWpl9FMqYxqGvIIA2bNAmNOeZc\nFhDqi8WRIDRAZsbQuxJpIBNhlDQEGrvMmGW65xD43rAKjQXPgrUnwkBTK6vNpkUyBqaoulp/lhTT\nIj9NYaMVobpEMs45zKJydd4hzhxgkywtGGWUGfEQccBNbs9WNGMMMGmAzI4N+/cGyBTflhIgc1qG\n+i92qIN0zC0RQH//Bxgg89d//dfx9OlTfPazn8Wf/MmfYLVa4fz8HN/xHd+BT33qUwCAz3zmM/ib\nv/mbbz0ho7aR1096rEWN1XmLt04HPLmZ8ebpgMc3HL4/pIy3TxnJOMshPTYDRza2BnjrbMDVLuBj\nZ0NBNIW9JatLVWvkzDA6JcKw8sIO8+KXUgNmKptIUcu65/A3nDStwzjXxGRTzHi06bGbUrHJrHqH\n803PPhdTxCM5RgNudvJSeufE5uShzpQAM6jObVeEYxBfiU7iqakgKzG5LPtynK96WLE56Sr9ZGAh\neSyCSm0BSpFmtNHBGEYh+5jwSFheIRHOZduZqNUAYO0dHg0DjAF2MRbqMRHwaMUI52zoMOWMc0E2\nZ6arofw1YrEgGSP1g0xOZ0NfkpsptXfTseqNI1/z+O1nRgGsAuR71/6eI5WFxenKlRA0mRhNKP15\n1hwziREPIxqLlCsKUSTDgVIJNpgSdkhVYYo4gMLalee9xj3T51gFfRSGIm/ncVx1rlCmuZ4rxxlU\nH5v7kIySYg6RjLUZzpmCZIIILo2q3KrC9HdxnlQ1WoM4ABYU/F4t66hgaqM8a1uKZDRic/HVKSiM\nqnCR7TVZWjPBK5KJh6qwJleMCgnf88PZ8eKwqNQOA2IWYgFE8LRc97xEOs5+yyKZP/7jP8a7776L\nn/mZn8EwDOJLxed75513sNvt8JWvfAXvvPMOvvjFL+Inf/In37e9V1LIqJ+KgdA7UT2y1UM8im49\nZipJpdTIrduVJaRBK2OikiuGSy5OhpNQPCHqMhhdUWrkXABUozHrNp1krDVIgRZU1SwqOeclEGWu\n2TX1+jJpgEahkmaCd/JiG56cOnkpsqqS5ZlX1XImKvRX3cfvJPfByGrdqr2zVc2IKrIHAGOQKQPg\n8zqwfUVVy7rCN47POxPBWyt1WE2UtV+GmXhtCmcAJcikhQFRhjG2qpdQV9KEZRwxA+1b0eDw4sBW\n9MnH1ucol2ts/Fd0fiGmVEO+vRI7DKvL2ldYx5efQYkg4Cxyw/6z8ltjkVkDpKYvSl/PbQcW56jG\ndJ0EqypLv9t7X8dcfZ6K+UDuPVFlnlXWWWWXHbap51T4csgJan2S7tvf9mu5cbm/0KANFsJjcZ62\nD3dPU+plksjNh3lfWq/8dlvtyEHd5yCOw2t8Xrv3RXHmTt6//aOWl4hkfvzHfxy/+Iu/iJ/+6Z9G\njBG/9Eu/hD/90z/Ffr/HZz/7WXz+85/Hz/3czwEAvv/7vx8/9EM/9L7tvZJCBrj74Ld5y+k59bTu\nfW0dHqd1KfOkqvufd+ue85x/Q6U4n93X7j0v6v1tLPvBL+I3rzRzzzdUCtX7OfvubvsGzt+UfE9f\ntI4Ksm9Geb93fUn/fXH9ac9p7+nANzr/VKGzFGp1f/NfLqHddlj/bvvvv7+tc/jd9uuf1bYxzUvy\nPjHN2nr3n6Cq3p53DXck9PsImxddXiKSWa/X+K3f+q3n7v/0pz+NP/zDP/yG23slPXpaSqf6VbSM\nq7aOqg20jqKLijZMQRRZEI6G8VC1xGF7WjfRcuWvq+FMzao3U6G8KsNIUYzW5ZW0qkQ0ppUpz6jR\n/ajn06KrTf2t+xiVNPlFpH6lui77DNSXVidoPbeiFdPsU3RxSJ3lkPqNr4NRSjIkEoBOEEvUpUV9\nRdpr1/qHKKQ9VP0sNKzK4aJBz1XQC2oemeWkXMe+LS27a1l3KdBanxZtyzZ1TflUH6322FrvIGw9\n7p5DadTL+su6bXqG6knftlX7c/h7eT2H+9vtWhl3t33I8n5tfKNtv2+9+/Y9r365PvGPuU84tQ/q\nN3Ie/TyUVxPJaJiUTByW3himm2qmyTYMixVVF8BJwrZC7VVbzhjYZqI2ErXBUM6YAoeA0Tr6ckZH\n4kDHzBErD5tQ+LHqLKIwgIaOc99oYMwoYf81vhjA/R46h07iVnlhgWlAzCj7nWU9vtpLjDElQKaG\n2TEGRR2nrKPO2zLhqT1H6xpTHQg1lE3nKnMqEzAIHZaAElNN/Wg0aKWRyXYtPhtEkCCWkMCVKMZ6\n9Xx3xmDwdpHuesoJXlRkvbNlktS4ZrqwUI9/VYOFnMVewnU1WKY+JwTJXdM80StvSu6Xw7w21hh0\ntgoRpTUbY9A1Qp2fK50QNSBpDcmjKsJWcOtCQW2LRCgq2vsQ2HLBYYoDJ8Dq4sNFDJHkMTIAkaob\nUdRjh0Ez71u4tGq3++ry/HgXXbSIBqjhZdR+Y9HSfuV6mufZ2GXgTWNNcepsowmov0yhPOvpaYlg\nCqngechGQ8O0ATDLYAELwz1wIGBEcVqGMy/roNluD6bS5+WmeVHlW0iAvZJIZo65MGp6bzlSsqYW\nDprDPiEkrqf5PGaZ4GNmBtYouVjGwHaYUfKoqHPiSnKyrDpXkphpcMqQ+MNMIUE4xMZT3a/hR9Sv\nQf0XYuJAmokg29h/IiYON6I2BCcCw7vqXxGE4aOTkVKQbfGz4B1KT1YEV8gL1KKpA1QoPg66bzl5\n1d8EjahgMDeUVGtQMmNaa+Q3Ft9BDLWdCLaQ64SWwQnOCFWweHkRvTGS6IwrcxbOeiwnOOPr47oZ\nIVc/GrWFxAbZxlTRsF6vXiewRK+cjI23t+oaHksUO5+T/87KPZT7WHLEHHxzO3XirrlkltEntOi5\ns0zQ2je959qvFrFqRIGKeOtH+1KjAZgiiOp2lO360fJ+iKbt80IQFXXV3etq2zLG3GuvKdsNlm02\n90eF1cJhtKlT45LlBhI+xwjf5ohpv++rV9COWW6/09ZBmy+6PATI/Ghl1TkY8ISxl/zlpyuPKeSF\nF72Gyh+FhtmmX1b/mv3Msb0mYWIBwKQOaIJuOIXA0gnSoA3dIvYamfSUZhwzM7mcW2bpHDoH7yRM\nfdlmC7pwQk911mDdO0E6VpCNK5OJIgsVAsoyarN/EqEgJG2biEPE8zXYMgFpJINOklTptWo7BG7L\nGl1Bk6AcnsRD4nD8KogGxxTglSCatfNs1DfsHe+MwcrZggAdDMacSoKxwXIEZms4pbEmRzOGUxV4\nqmmig6RSJlLUswz1zwZwYIDSZSXgpWH1HPu/LFWYva8TQEyKZACiivKICL2rQjYJkski0HTxoara\nViXaqmttISZUIaJzX0n9LX0xxsBbEaiuIgU9R6YaKse76nipQqVFbarCbM9NhMIiaxf/1NRVO5L+\nvmOHMVWFqTTkFoloezBYBM08DKBpmr5a1Bhn6vRZ4p6ZVlXMVGWtZyGRm9XJMze2kZIKwB0gFjAw\nMWbp5b/4PghBcx9SqhC01lF09DLRxrcQknklhYyWlsWldhVjqvogkzwrKhyoog3Vf7d1rUH1aka1\nV+iE4EQFZhVNNyoIVUkAGk+K+6irUoADLWrARTKiuiBCRF1ROqosL+1jyhnOaSrhmgaYwO1ArlOf\nq7IwszWwou5TphE03lPW1bsp26ytbfB7VuOxldWuCoaDeFe6KgdV+rDGMrNNX/TjwUJOX08r8cqy\nkdhVEussoLUt8BjqmJK06Y0FGckGaTjOnH6zYyarOMpEmFldpt+GJGS+ETZeM98xOqkrdbb9sMAx\nKhAW6UqqKk/vt46PNRUxWWtKSCt+zmRsaDlPmIMJH3LvWqSjFGWAYOz9K1JrTclLA/BcR9ofjYad\n8yJ+GqDx9/Q5aoViafkOYjlkfh2qslp/mtohvTyzULsBABmqmTNRHTVBKCq1Kgjr9gxWp1ldYBhC\ncatpjfGt8GnHWeu1woZPph17/n8VMvfVoZeIGh4CZH60UijDaCc2ee9ULZTlYUPzoDarQyJChq4I\nmaKaBYJLfL/6fMl5NahmFtsFKcdVJ1SDwlrSyTVkMf42E6QW/VlUDs1/Dd6p3uXA0sBbutpMWq3q\nog3KqMLDAFUYUnt8nfz0nLWt5cpV+0EyRon0eBaAqsZpBUm9Xk1iVYNkqpHfQAV3DRZpYZDltzeN\noGyEkAooJYBAhBL3U0gIOnalHh+TjQhAKymZRTgYEfTIMpmBSmDMIsgbNGNk4ihCqOjdqKg+tZAF\nIqqqjK9Fn0m9/3cXxVkXBah128Cc7UKpmAbMUlBqvYKEde6zQCqLD4AFRpb3SYXJ8tzLTxU6LDS0\nXk0YV4RJc12KMO7UKeehxbdBtd8sUAxVZ8y6cKrtWthF6BnkiqoIiixIOPntYJaOyre7K2Q0tP/z\n/nPHnyNk6K5Qe1HlAcl8tKLjl3KN9QSwuse7muFRX7ogTnxqUNcwMMbw/5X413jLOdPbUP/RUVF7\nWAPkxCoKdmYEO9nV+ReAvsR24bWt3tdz4+ioL3wOGb3klvFU/X50fxDbEU+SKJNyzryajsQrb99M\nKDlL1kQitIbjNi5Wi2SA+vyrgNP/GpuN+2zKd0F3VIUE24I0TAh7rBSVkEg1Y4SxhhqxWe8rR99V\nhMiTawe203Sm6sy9sTDiT5NFuHWWJ2zKnIMmUxXUmpwMTaT6rujtqcwjqfTFwEkKTEOMpNq+ZrO0\nB8kIImWU8D1taTUmbVHZbWGQDjizZZFjzD1IptrjimFdv0FLQdIcZkXwqBxUFfBS5aXnNmgXKWgE\nHUcA1we//W7RBzVt3FPKgu5undafprLiqKAha22JfaZCQ+tw4kl5Xq1ForQQSLAApWV2T1KPfFWf\nOVTBEMVwn2Oj6hLDf5s75q4HlV7MXRUZoarc/pWXV1LIqE1Esw6qLtxbNvhvBo/dnLDqqiOePqhq\nU5gTwRpxjkwcj2s3JwwrXyCFTvLq8KmqsTb/h3q/G8MLXweDKeeSUpnrorDWeledQXswEuhEyFkr\nWR4997P3FlPI5VgvbCudapVY4B2HRGkN1xx7bCkEVAWipACIQ6OiCs3KSDkXYaA07pZt1gqqVAQ2\nyli0+WjaOkowACApi2WfTiLguGTGoCYTk/TQmtiMhByQZRVqjIFDZc0BnBTt0OupsxaTRPTl+GE1\n8rG31TNHJx1j2LZjjIFFk2JZxtkJ3CWqFG99vpQ5aGVF7V3NTgmI2jRbRn65TpzeGCSD5/jx1JVM\nyyDj+1BtVW1CM6N9NbWFIlRlG98zILuWGCD3OhO8N0gl2LBtbDVVXdZ+2tIiHUU4bT4xTXlwiEKK\nPYcqiimjYGs0AE2Idp/zmnEVOTFyFY2DhL0prDNRnScSAXPYQYAjNvMPgYryBqp6rcjUAwj6fmo0\nJ8ceDtqLKg/qso9WdHWWhKVlDNOTNSjgHDOv8GU1M8uEakwNy8KIwEgiL1tSDWtWSUBVQbm0aw0K\nGUUFjR6vqCKDBRerGmrQwz1RYbKtOgsrkzGQsW0M/0C1m2QRQFNIWHecLgDOlEmc9zNJgAxTj2Gq\nb4/SYrvmebNCefVOVVNU8pCEVFGYTkLqvU5AsTMo0lGkpghGBUw5v60BOQlLwacLhc5VVSIBiKle\nv5X74ayByQa9Gv4BGGPhRDVGBDiTiyDaE5MHWpW4pmiunveAE9KDqvwAte1x320TZwvIC2Gk45EB\neDVwG2azdRLlQBrkjJmNnSvlOrk7Z2GJn82cCabYGKstT0tu5y/iczk5t0ZPUBRSiR7UzGNZ7k+D\nDAx/ciZYkUa8GDALgcu2LB3PBtEdqKeXNpl6Hsidq6o0au7PffYc3LONYFJ77hro805mzEZAHYa0\nMdnUSAJ22W+ySxUeIKjIgAWQtRUa2jakv16Y2ndUddbYeVqCwPuRBV5EeRAyH620lFpdResKe4wJ\nnXMcvr3jB83xrAQqqEYyWhpWKSm1eIoJvfc1eZNoAFrVA8BxqJRWrJkqrRU7CXFel5g4yvIYVFVn\nywqX1XwEdCjbWPVBi8lX88rrsb1nweeBYkOYRcgVJKOre1tXu63qrTikiqDWybJQaw2r33RZ64Vy\nrSwlVUHGXGnSqnorgsYaEMRWIkiqVaNZU1M+s+pSxhuVFaX3QFFoZ+uEpfYwFUSKbvQesaqMBYCi\nvoJmBbkRRM14oKaxxggLta742XZnKxKQE6mdK4m6LYERmAop8GPHCDErAswioNU3yZQFLmzjBNmo\n13TCVaGjtGmHpRrOCQHC2hqaR5OgAUKysHURoiw1AyA3iwMeSlUv2Xp+USfzdl0I1LEjRQ1U//NE\nXdW1SzSm9SqpoNxT4idCjy/3R9ELHbDVzLKtAvy0T2LD03O39hlFMq09R4sxNeumCqB6rkbgGGCR\nerlVt8HJy9kgH0U996CwF1Kep6J8BcsrKWS0qNrJAKAOxdaiQR/bIIEAwRlb7Ss6ocokGZtj9GXj\nF9sWgWStKapnXbXrBKwTKK/YGaFEoQRru4OvEXINsqi1LKYYMXhGPNlWnxcnAmgMGX3vRLVTV7iM\nSNg3yIhaD6j+H4ocfDN53bHJoBIKdJJow9in2MZyqwJX7TROhKvacNooCRoPTgXe0i+E37O2H5WC\nWu2vUXxOCCiLBZ0crQg8kjfVS36PmCILmsZmkwRpllmRmG1WxkP6kGTWds1EpOrVyt4CyEgEAFFz\nAYwYMxgl6rPXXk/53SxejUw4XJfZj3ftH0CdcOt9UCZaabdRhSrBwcMW1ZsiEX1OACDE5T7pVbG5\naF9UwGhfWnaZChtFLu391P3lnjfXrixP3acITEa4tKX7cm60WQyuCupQQaDkkoJsTMMq0+cLNbun\n3mMHduo0OjaEwlhrbTf30rW1xyp06kOiO0ToyLKn6dvLM/w/IJmPVJgVUidI3aaTgXeWw5JDHupG\nHaMPccoEMjW/B3uhczRllSVozkFADdFRHnqSzJhV0BihyyZij/IQc1mht7YJnUwy5caRsNKu1ZFv\njrw/qzBFfbh5YqkOfPq8K2pRQVNsMsaUpFvqqEnyBhdUeDDWC5uMMQUxaviYJP1Q4dQm24Kck5p2\nVJAV9hxVAcUMteV9PUzprPvaV9OYimiJUFCN7rOcF5sNzKjoRMkHvlmOO9R5op3uvDVlDOt+qsJG\ntmnQ0EIysFiMRyZGaUnQTXvfAFT2lAHau0GgEjyzFSgtCgDUBtSMq0FRqcHyODbarrIgynfYY8KW\ntGpL4X7rGOdcnsYiACryapf3rfA6QCVl2FuhWu032pd6bVWYFQM+CcvwwAcHSkkn9qE5pEK3dO12\nWytAlGJt0T5Py0XRHQq2aa9f/WhwP8pRdPMyygOS+WiF1VKMYoL6RJCqwIwwzlB8WhRlOMOCIDlT\nbTKaSlmPzbQItmkF/RhDZRI1shq14sXvrSmJoJRFpkjGS1KtJESA7ZSxGaoRuXNWkoJx+BmiRo0k\naIlJDHyMohI1mmskAWRgKNGmuZ/qROmbCVivQVezSpzQvuuErROjEgt0THQyV/RXxkSOVwFGQCE5\nqH9Ry6pT4daiG723C4Ecs0wIS+HlrPqnmLKYcJYnxpBxB8lkUeMpS6vSmzWyALcd+cbDHkwmGlFa\nS26W56oay1RtPynn4n+iRe16qZmUin1KVDWFRECH6LNdUGn08LwI28KTsEHOKExDfU6sASgtBR5R\npUaX400NTwNaIhdAkcR9fjLtpFvbXyKwA4fThWAyzTFLBKPFGIC5GywQUqrXn3NekAVyZrWUMtey\nJF3TttXHpk2Qdkix1tw3WXyrcjPefIBeVT1vaWcxHgTALdsnwzrRb1bAzFe4vJJCJqalKqJ9kaaQ\nS94VbzkUSEEvOikRe/VzDC5GMF5Qw6p3C7WBrr2IqKonCCV/eplsZcLsrMV2mhFTxmbwElvNSdpj\nKt9KStB8IEFsMiERjgaO6dV7WzJhxkxYWYMUMgbPhnQnOd41npmqH7xlZlomlJwjzpjK/rJMWGDb\nBl+Udxa9p8WkR1RtSL2cs1XJtJk2nZwzJipJsYCGbSX9ILkHGgNN0yzoi6lEACULaD1lvuk9T5lf\nWFXXrXwlBQya054qklk5TjgGcTQk0nhnFr6ZWSwZoVEbpCbjoTFOkAxv0pW/IlwDIBCVmGrOWSRi\nQsJRV1Ww7NtSadyYM8hKsE639Npv1aKZWiM8RP2o8dlkVW4FXZYUA5LeQiMSWBHUsU5s1jrErD4x\ntY/O5uLzREQIRo37Onnmog4DUGw19xnvieoiR59R3Q/U87bagVYYtUQCa2sfrJXMmhkwDUlDhYdO\n6gkJGgUAALLJFTEqDC1JLhsSgAolXQg1qt3SrwMhe993eVAW+w6Q14su30Lqsle2p0RsYL8dI272\nASkTbseIVe84VbHEG0uZsB0jtmPEHDOu96HYRYbO4maM6JzBdtJjI25H/tyMEfs54WaMJW7ZJLnb\ndzNnPrwdI6aQcTtFXO8Dnt3OeO24x6NNj2fbmROSzQnPtgHnRx0utjPOjjq8Jhkzj1ceF9uAR0cd\nBo5KDDcAACAASURBVG9xftRhL/Uvd5x6+XI743TNics2gyt9ud4HDJ3D5TbgchskXA0LnqtdwFHv\ncDvGEoqG0wSbIricNVh1rvj93OxjsR0BPMFsZSy3E4+hCg3vjIwzBx0NKZfx38r4dVJn6Hhce28x\ndGyU306pClBh9KXM2zPx+GoG0pQ5e6WqEJVIwIKUj7ueQ0FgV3NA5ywGYfZ5a0rCNCdU5jElDrgJ\nklTN/FxNKZXUzco+s4aPd6ZVaxLmnDGlVOwfvXMYY0JvLcaUsQ8J25CxnTNu54wxEnZzxnZO2IeM\n7cTx66bExAF9vsbA33Ok4m/jbY0eoRP1FGt21pQ5Zl4mKosfPq7GxZsDCw7nONQR0/ETgj7bEnNv\njonPHxLvT5n9x2JGCAkhpAaNUPmooFkKo2q/UaSlE3WUdNptPDS2/WTknGtkDjG4W8vZPWNkZJGE\ncKPXUj/sQ6N+NM45bsMaRjfGLPYrQil+N1iqxTTKgH4vkq81etWCoHAggGSlqoJrUS+/JEFjzIf/\nfJPLK4lk1DEwteqyXJlZGgRRg0W2zpXK7KIOvMqRFyJK3P7W8J8yIdrKBrNWVyJWsgvqOXI15hIV\n1plOEEGSoWkAS3UWDYnQZf6vbfWi/oopI9jqMErE1zqQZDaUdjWVL/t91ERoeg0xMQ0rl2vl8xGW\nsb2StNOqt8rxQFGB6bgogmvHtR1/LUrMaNFRJmBO7LjGajYdOpIAmowyCFxv8Bah8V9o6bY6mbXO\nj1q3XVVr4E5TBIX0nYhjnYGgEZyVHqyol68jQxOlqS1KxxrVR5TRkoxXkOdTA6jydcnzlmuwz5yp\noBhlqmVibYqitXYu0iRpOVf1FKHGFdPnQCd2vl81Tlm7Gk8qIOTZyKjPUekbqjBZUo+XaKRlnel+\n00zA9xECCluQsDhO6x2WJcK5s7vYdVokcvgstL45inju2FYW56zIRD/FXmaWdSD3QtVnSkS4074I\nnpelLjP/AsLiwxZDLxXTfbjy//3TFsag2Bx0gu68xYUgCUUMquoB0NBrgatdgDUG55sON/uIk7XH\n5ZaRQ1Fbm8Z5UVUJ8tJ23havek1JzOoUg2fbGSERvvOtDb78eIvzow7HK4+vXXJ653evRqRc0zO/\ncdzj61djydf+aNMz28wZfOXpHm+dcVrp86MO1/uA45UHEdtgrnYBr216wADPbmcYUQEaY/Dsdsbr\nxz2udrzKX/dO7D8cKLQIOseIxhoWXLs5FTQzdJaR1qYDEXC9D1j3TM3eDA5XgrY02OPFdsb5pgcJ\nWtE6p+sOl7sAANgMDhqF4GrH1wPUSUaF2G5KWEkaBgNGrtqn/ZwQiXDU1Rl+DBkZhLV3uJpCoTZn\nEDbe49k4Y0wJxx2f72oOOPLcFxVu6msTKWMS/ygiTjOwj0nUYVioznaRI4LPKWPTedzOAUedL4Lo\nZo5FCMbEQnYX+HxXYyzHqm2nTNxyXbrI0DH2rjoEs73OLSZeY1gdrCpdfU8AFjRzqFkeleI+x8Tq\nLNJFVxa/pVwWIERVmMxzujPZK4LhbbSo74SM0zLKjLxfSantgmJ8k4Y6pVyuqVWlRVH3Mqo6EAS5\npl+OIZb0yzrZK3IBgBgirLOIs3yHWBFMUy+lVNIKLNRptBSgetwhY7L42jR91XrbP/wv8KLL5id/\n70Mfu/2jF9+f9yuvJJJRHfOtqLOMMXi06XC1Czjf8ER8vukxhQTveCIGOHrzxTZgMzicH3WAMbgQ\nwaLHbqdUUIDmgwlJoilbjkWmL3nn2LlSQ/XDGBBlfOLRGgDw5cdbfPLNDS63M778eIdPvbXB37+3\nxafePIIxBrdjxNunA/7+vS2++2PHQiLocTNG/OPTHXpv8c7ra/y7d7f4rrc2uBkj3jodsJsTrAFu\n9hGPNj2+erGHswZvnQ48ce1ZffbxRys8u2WVHRELD40qfXbU1ZeXgElUbK8d90VoACiC6mIbQADO\nj6qa71IEysXtjKPB4Wrk45/czCAivH4yyPk7XIq6UCeuZ9sZnbM4k/a0XO4CztddEV56vy7HgNeO\nOC97SITN4EtbmYDLccbrRwOICI93E95YDwBQ/IAupgBvDU6cxzZEZALO+g4hZ2xDxNpzVO5djEjE\ngupI8uAAwLNxwqNVL/Y3RiKzTFxHkqt+5SwupoDTvsP1HAqauR5TCVs0xcwTfWS7HBGwixkrb7AX\nVWx1bOXnnBcNVYevz+PNGEt0C3Z8zRh8XUgQAc467OfIqrGQsR4c1r2H4lJVNc8SedwYUwQLETCL\nSislVYvVSR+oiDeEvEAlOudy7hpZrDkL56oACiHBe4tOhCQR0HUOUUk0meB99X+yFpimCCJC1znM\ncyrHaj+0bphZuPjOL5wziQgmG4SJ5wTnHVJMcN4hhgjnq23HWQfKhBQTfOcR5gDfeaSUqjpNyAUq\n3FrUQrlGi1aHUC0qYHJ+SYb/bx0g82oimX/33r6wmXSC0vD6bU5zDWevscvY4ZLVL0s/Blm50NII\nnYlfcH1BrKl1jakOd+oxr3pwtdco5f580+PJzYTBW+xDxrpjQ/7Zuis2n6Hj/DVTSDheeTy9nTGI\n8X6KGUe9w5GkLRhk9a6G9L2kBegdUybnyPYRjXfG1GCIECSJLl3Dwyt1eSdpD4JQskGEKS5XZepI\n2apkCDxOU8gFieh4h1RXflq8sxjnVO0GrqqlxiYlgjpwFip34/GfqWYcBZjwoZOyHtuqXxKx7SUu\nVB811I6mDNB2nan07EzALEnRmAStz0d9TqwIHr1KRTExE66niCSRIiZBJWNgZDJGVqOWDK0NEljE\nSkNdARdjfKoTmqKCZfTkqg4uJIAGlQOMFFTIlPBIWQWgCh9WF1aVmSKMilx0n56fr6FeS7mOvPzd\n1tdjqipuOfXoeQ/bUrSkdao6TvaXvjafxTH1f3vOFoXcxy57rqG/ue4lEYIWdfT37f/+n+NFl81n\nPwKSeQnI6v3KK4lk9nNiFpFMzEBllT25CXjjpMez26ou00k5JA7pkjLhahdgDPD6cc+rZ1k1P9r0\nxQjZWRRV2CQqBp0MOmexp+pRrxO1NcCzbUBMWdRlO8RMeONkwJfe2+KTbx6VbSERdlPEt7+2xpce\n77DqOFZZzITXj3tkAv7hyQ7/5o0jfOXpDudHXVm9EjgfyuU24GPnK+RMeO96gjHA0DmcrDy+fjXh\nbVG1eWuwGRyrsFa+qNBUXbbuHTYDr4K3YtAHgKPB4/H1hDdPehBYBbcZPPZzwtlRhyc3E14/GRAT\nM/MeX09446RnRLULOD3q8PRmwmvHPZ7ezCAAJyuPVc/35NntjBNVl4H7rrlwbkQ1qKqh25GN96vO\nYTcnRGL1lKpOb6YIAuG493i2n5EByTEDnPReDP4ZJ52HsQZPxxkb7yVwKatdellMhJyxj6lEBzjy\nDjchYlVYY0qPBW5DhDPAmDIeDV1BM2y/qQFYtWjcNGeBXeDFyhgzVt7C6qRNdZKeDtRlvUcJT3Q7\n8cIgEyQ4LE/cY2B0M4WEde95AWX52Z3mVIRQ3zkYCYezXHSxnc87ncQNrGPmGhEhxqVqzBhGLSkt\nJ3sVPt5bxLhUl6mAUeTinEWMjE5UnabqMBV+qkqb5wTnOHhsPhQYxPWMMZincK+6zHnHgU/nwCgm\nRvjOY57mg5QHTBhIsarLNP5ZqzK7Dzm0AqYlFRQiQF6q2V5kebDJfMTyt+/uALBgUdXR2VGH3ZRw\nsvbFFqApjHcTT05rYVsdDZ79TgDcjBEn6w7bkdMya3ZMgFeBq45X9kPnag4TW2m5GturpZ6eH3WI\nmfDu1YhPPFpjN0U8uZnxqbc2+Lt3b/Gdb214FRsYofydqND0ZdpOCY+vJwydxcfOVvjS4y2+860N\ntjKh7GSSGEPG2ZptPc4avKnqsl3A1S7g7bOhCNBMFSXsJh4DNLd2ihlXOxayXtAbAaJGZLsOEduR\nVDCpreVqF8rYnm86PLudAQCPNtU2pnYvIh5XtQkdr3whaABs8zk76nAr96Vtm1V8NVMlkcYaI1xN\nAa+tWbg93bNqC0BBWteiHgFQ2GNHnUMiYIwRg0TfnVJiR1rxb+LjWd32aOgqqUSQnKrWdCiv58B2\nmcBqtzllXI8Jmi2TSQDAlHKxz8yJBcwYmVGmqMqVxc5ywtCI0ruJ/av2cy7+Ur13mGNC7yuxYwyp\n0PvXvSvjAgC3U2DySEEyLIgUJTOppLLHDif0QhCJdEddpt8Aq9v0ulQAxah5kqpQUtYYUNVlrTBT\nW5D3FiFkOFfpzm09ZcB574qar/WhiSECxIb/nNinJoYI5xwOBVarTvOe1WWLtNKo7baU5lYgHarG\nWnT0MpDDyX/6v37oY2/+t//sBfbkg8srKWT++is3AFho6E2ehJb85GbCGycDnt7OZbLXVXkUP5Uo\nSMYa4LXjvhj8n93OON90jYMgq2s6ofjyNhYkvWOWklJ6FckYMX7HRPjUWxv8w5Mdzo46vHnS4+/f\n2+K73j7G37+3RUwZ52L4/443jvB3794W2vX5UYfXjnvElPEPT3YFESlJYbNiATF0DhfbGZ94tEbO\nhHevJ1hBMoO3+KeLPT5+vsJ71xM6ZxdI5nI7FzVU7y3WPR+za5AMEXC88nj3asRbZyuACE8Fyezm\nhHNBMm+cDCX+27tXI948ZXuIjquincfXEwBGMkrGeHqAZFTt1ntbSA6qKrvZV9vaIZJx1uB6ZCRz\nMnR4ups4S6XEXDsdOjzejRhTxmnvYWDwZJxw0nmJ0Mzssd5V1LuLsSCZjfe4CQEr5xCJVaGqOr2e\nGcnMKeN86PFsmnEmSCYRYRtYXZZBYsSvhv9nuwhngTESVr4a/jNVddzcsNMUtSlyvxkjTla+LHLK\nwkrsNHPMxT6jBJn9HMsqW4kVc8iF7UYkDEwiYUTm8j/JZD6OVWjTYmJtVVh4DpIRFe4dJMMU5e7/\nZ+/dYm3JrrKxb85Z17X22pdz69Pttt2+YgIoSDaShQRCjgk2JgIDRjbhImQJ+QHFMgLJF8AgIAI/\nALHACkiRCCZgkDDCQVhExCAkHiKShzzE+fv/we62+3Sfy76ua11mzZmHMcacs9be5/Rx/+dYpwMl\nba29VlXNqppVNccc4/vGNxIyhxgLCQeK0ek6C2N0MDqpgXHOoShoQnMvTwYA+pY8ma7tCHdpe/I4\nPBsJUQu3QzBI2uhReG0b+A8gvzzUwMgwhfPgUPLDGNR33/tHL3nf+Wd+4gGeyYsvj6SR+Y832ZOx\nDhv2ZHYZ35hWGdZcLlmwBfFkJN9jUmYoWSl5sbHYFe+nytB0w4giXeYG9mv0ZPYmOezgcHve4vH9\nCptuwOGiw1NXJ/jyHTIadnChXPS/3qIwmizrjjyZIiNP5pnDNV5zdRI8tDWHC5veYW+S4/kU+Efq\nyVQ44Vwd58lzKjMdykmnNzYF/kXmBkAA9+drAv736izE9s+478aeTJF4MnkgVkjoS/r1bN0jM5o9\nmTjDE49n1Q6YVUnbrcVenYeEUJncEzYEzBsiDADA0brDfpWHNr0nD0OWhvNi6oySGTd2QJkZaJCX\nM3iPypgw8waAk7bDflHA+igdZD15M5WJpQXmncVObrDsBwzOBeBfvA8py90NLhgcStJVaOxYwSJj\noc5EagwAQvLvigH+TUcEl57VvMUAhevtByhweWwewOUZXzXkcYkno1XUBPT8uxxT2GHpgC4DvGXs\nxpgxNhTKeAcZo4hF9L0LwD6AYIBiyI2w0BRv6ToL78GeDBEH0rwc2e4iT0ZCW8GTAVg5gID8+/Fk\nTGZGCZvbnswI03ER8N9O8BRD5J1/KJjM3vs+/ZL3PfvTH3+AZ/LiyyOJyaRGYHCkthvKLyOKEzof\n82eQbCPfpQ3nJYN8vF62J1zGjzSfrPPQvE5xnowMDhLqkPCDdbHwmeUcmMwQxmAHHeRZZAZvObfC\n6KiNJseU85GQjXyn8x2fs1yfgP12cEHqxQOAj+ER6YNA8/Yx50L61Cd9lgphbufJyDFlXbwnkXhA\n30WOhtqVmbMc1yOGpVJMwydxmBB6SfIN7NbLL+chtGkB5QEDx9sX3sOpmP/iOXAuYwadDw+wjGGI\np7L9bCoQ5jLwefcuFr2zoa9Idw4QmRkVw088QDselc2WlXGea9J4yqkJ4SJw3/r4PIjRMDrmz0iC\nKSlVR7zHex9KVYf7Pxpwx2Et6f/RfUn6LF3OzfZ9HMQvwg9S72T8+9iYABgN+BeC7BjjI/FcEWjF\nY82x8+dy0edF28T8F8Tv29vgPCnggS8vH0jm0TQyEs6qCxNkZTKjMSkpzDEpM0pcZG9lUlLFj8wo\nTMuMacmUAzEpaTY7KQ2s86gLE4yY97F4mNRREXC/AIsL5lHaRgQLN8wuE2xhryYco+kpFNb2Lsz6\nhU4839gQ/tib5GgtAbsLxijW3YC9OkPbO+zWdFvKjGZOe5M8MKuMomscHDHDZjXnsGj6HaAQWKrr\nZrRCnWsMdR48N+njnYo8wp0qC4N+mRH4LbjXtIzhr7AtGxPahu+JFZYfYTGSfyT7eu8xLQ3fJxO+\nF5nGTpmF+yJaaqLB5rzCbkGUbA+iJgumJO/7rMjRsJciGIrzpFk2zbPgLcg68uYiGD4rqO8kj8aY\naGBSttmU82MkT6YwPGvnMFbOci2NdRgcfRpWg64yjUzLsxd13WSR6y8Yh6hyg8ETzV7UrHOjINmh\nmSYFGfFeFNRocgDQupjUKQZZhfCYeB9UzsKPwmBk61npO4sYRSz9jbCteBz0Oxl7AfjFcAQsijX8\nLhqAU89HQmfbBoXWmfD7RXiJhMsEl6FryML5SXtKqbBtlmV0fYkqubQZQmEqGqKQsJlsI+ukjVFb\nL5PFOYdf+IVfwJe//GVorfErv/IreP3rXx/W//Vf/zX+6I/+CFmW4Y1vfCN++Zd/+Z7tPZI9IDOq\nnmU42n6Acz5QVwP9lWeNIplBYPsQq0km24rWGclqpDIbHm0/hHCB5BB0nLnfcntNTzIpkqMwYfxj\nwuGMdWsxKfi30mBaZiFsJesEN5Ht1+2ASZnRJ7dT5jrIjogsy7obsG6HIIQpYcQyI6pwZojk0HGB\nt7Z3YVDKOObcDx4NS7hkOmZgN73kAw0h70g8L8oVotwP63yofdP2JEuiFUI+kVQRFVXopneh71NP\niKRRwOWtVaDWynedUHUlE945ogKLsnNjh/C/UkIdJnagYc9SFAA8fGCWAcQq69zABiZKizSssD2w\nx5B6KUYRtZmSKomR1juHbnDohoHu18DP4eADwN8OIgMTDVE3jL2f1CDI9Q8+4itGxf4TUD4IxLIn\nYxnTsQw8Sy0fEpONKhTxf4/BRYUKUSIQ4D+lL6cD+VhWJnoiaehMjDZtH3NutqnY6f5yH4RhNojM\ni4v4zvgvYkHy27asjHc+hqzCcaM3nN77FKSnHxA/k+tJ/2S/dPvROj9e96CX831y/38vtnzhC1+A\nUgp/+qd/ig9+8IP4rd/6rbCubVt88pOfxB//8R/jT/7kT7BYLPD3f//392zvkfRkVi0Bl1WusT+l\n2HvDzJk78xZXd0sczlvsT3O01mNSRDCX8BKPOwySS8Lg3iTH7XmLg2kBk/GDyUCqlFG24CzlnmRj\nVmGQtZQzw/t8+c4adnB4zVVKvtyb5HjyUo1/vU0ssX+9taI8mUmOm6cNXvfYDv7D84tAYd6f5njt\ntSna3uFLt1d44/Ud/MutJfb5HFMK81ePNnjioMLgPJ473kAp8vCu71d47miDxw8q3DxtkLH3IJTh\n2/M2AMN5Rsbt6m6JZWOxam2gfR9Mc7xw0uCxfQL+D+ctU6CJlnyLadJt78K21/creCBQl2+f0T25\nddbAg/CzA75vt+ct9hhL8SA8q+kl2ZMo0G0/YLfOgmJAnRucbnpY77Bb5FAK2KtznG46eA/s1zlu\nrVo454M+2X5Z4DYD/3u8z50NAf91ZtBYAv6rwDJzWNs+AP/7ZYGztkNlDDpHHpB4NSdtHyjMl6sC\nR02HgzKnwnA+5iN5D1RsnDasI3ayplpC695hkmtUSMPB9Lx3g4N1EbOoMo115zApNE43FntVFjwa\neV5XrUWmaXKww8SAzJA3mQL/dZEFj817cPgMcE6HCYfzHsqSZ0ShVY+G6eSyiG6YnKN4MGKY8pxA\n+pTCnOcGw+DQdVzYL9PoOouiiMB/xyoPMsgLKaBtLbJMo23thThRwZ5n2/QYhiEC/4yRZDl523cD\n/r2PyZSBWZZngQAg7bkhKR2dnKdSKrQDRRTmFPgXrbSHFdZ6mBTmt7/97Xjb294GALhx4wb29vbC\nuqIo8JnPfAZFQexOay3Ksrxne4+kkREaZsOzeQVwpr/Ftb0Ki02Pq7slmn5Aziwl2e9o0WFaZbi6\nW0IBgba7aCyu7pZYpxn/noD/hj0ICV8UnExZ5oSfSPhIZo9PXZlAKeC54w1ef30H802PL98h8F4o\nzEYrzDcWV3YK/IfnF3jTE7NwnJNVj//4whJlrvHG6zt4+oUF3vj4DKfrHq+8PCEjy9f/+H6F544J\n+H98v4LzHqfrHjeON3jyco0785byaLzHuh2wPy1IaWCvDDNdx17IC6cNLu0UuFZVgUZ6Z94G5QDv\ngSu7JTrrggrA9T1i8kk+zeMHFW6ftfAArswoN+baHhnyx/bI+PTWhdyda7tkoAB634QVeLoiBQZh\nsx2tOlyeEkW5HxwusYqBzOIPVy2uTDnjf9Xi2qQM9xAATpseVWYwyYhe7LzH1brE4Ij9NeFQCWX8\nA7UxOCiLkAR5uGlxuSrQO4dKk5ZaOxDuclASRXwnB07bDperAmdtD+sJ4F+0UvZBPDMyYoIdioFZ\nb3l3Ig9UGI1iSx9tUlCOzH6dYdkK8E/Pz7odQsh0N8uYKKLQWYu6yDATo+45499/7cC/UJVldi/G\nRCjFSoHFK+mdsdajKMwIpO/7AcZolCWTEZxHWWbBwyFjkVKuNZqmpzB2btB1FmWZBe9JFuci1bko\nMzhnwrkK+N+1RE7Jigy2t8iLnAxJkZ3zPMTASMa/5LwoqFHYTdoP4bYkXmsyMzJIzrlzKgAPcnnY\neTJaa3z4wx/G3/3d3+GTn/zk6LiXLl0CAHz605/GZrPBt3/7t9+zrUfSyAh1NDcKlqXhgyovx/gl\nYVLz70BU7s2NzDBUkKUXfac80zAcz/eeX3To0JaCzNpE4l5me+PiZnYgAyWMHqEEbyePak0eWdOR\nThcpROuQaNpZ2t9yIqlWsQ2AcKYyN6Q2zLFsKRNAsjgm9FmeUZlm6Y8QUtG0ruS+gY85GmVOiX5F\nGgtnry0tJyDYVaoVJ/0q20RMJeJczkeZIO+BMotlAwCEiqHlBdU50//rLPZJlZlw/+SFL4wOCgUi\nxx/6hTERgDAX4xM1BwBOxeNLQTSjNJT2oUyA9KVQpnOjoRyrKxuPTMm5SpljjUFRWCznYmC5VkBG\nJbKMjqwyuVwZj4Q+LSWxMxNrERkdK6TKfpnmXBQuv5ziF1Ia2hupJyNVMR08Yi4SP0VQKg1l+QRn\ncCF0BcQCZOE+JeQF6mo1Cp/R73zeSbg23cd7BLaZGLHtJQ3R+VEhtvFgLued/h9+41OP50MhZWNM\n8FCUisoP2+cv/2+H4YQaLeuVUgHDedDL1yMZ8zd+4zdwdHSE97znPfibv/kbVFUFgPr6E5/4BJ59\n9ln87u/+7ou280hiMuKyi8KtxO17xhw6lkIRVWHBWIi15caKvdaF2bVSCLLn4ZPbD8rIgyMXP8ii\njzGcluX0C8YmJOtaJFdanhlKroP3PhgcKUEgUv6UPElSOLmR7YluLMezjjCjhnEjy3hRijUBCLNS\nx1gW/SYsJQJ2pY/Acf+BsRHDfdpZF5hiAHkUWitWmfYB3JZ+kXsgYceAKfC9knUBU/DJveRZX/wu\nQCwrFAMhDOU80AxD+K0dhpEEEEAhJ5lh984RJsMSMcJgk/97ZoYplYhUyozdC4uLKMy9iwCvVuRl\nKCUsMoeO+6XlT+kn8YSCkjOiqvjg5XNcqjnQtvk3Ue8WBqUwxNLkVmI3usA4TNlcSvqe95F2bHJe\nlr0XSciUP1m2MRl5rtLPFD9JDUNKBIjnmzLPLnj3k+P7xBCk10QDfJxkXIQ5bOMjaZhre5HtUkwm\nJQZctO02PiP7bffbw8JkQgmCl/L3Istf/dVf4Q/+4A8AAGVZQms9Mtq/+Iu/iL7v8alPfSqEze55\nqv6hcexe+vI058l4HpQEnwkUXBMVkoE4KAoGIWEueT4CtdWNtcu8j+WLpZaHUpJ0GcsVp9plSilm\nl5FhcN5jVhGeIAC4HH+Pa8esWovcaMJkrMPBtMBtVmUWI1kXJBUjeT4AQvmApnfBkxEjsGgskRvk\nGnWkrXqPwDizgwvMuWUzzi+C98EopjOzTEftMhlvCiYZAEDKAktzYORJyrOoXeYBZkQJ0eC8dpmQ\nCeTeSL5JWupZtMsknCYVM7XgA551wjwZF8eGIlOafuOHQfTDMkWy/1TjFOiGATnPaNPnQ2jDWol2\nmYRauYyAc1h2QzBakvHfCBGFDb+0JyE0MYhp38lxQvvJYK8UF+UDAmlBI5YeoOfFB+mZ8BsboI4V\nrAHWLmOD1LMAqRgbScZMs/Ll8zyNWM49Hm9Iji3XmBqbFNPZ3pdCXnHgvl/tMiEkpIB8WvdF8Je7\nGYU0Y/8i7bLR/xeetz//mWx39icPPi/l8k/+6Uve9+h/ft891282G3zkIx/B4eEhrLX46Z/+aazX\na2w2G3zTN30TfviHfxhvfvObAdA9/Ymf+Am8/e1vv2t7j2S4bJ0A/xI6ElbX8bLDlVmUUxFaMgCW\nh6EB/jTJ+BfFX5FQkRdZtL3EG/Ge5cg5Xk5hERWSE6EoxCHaZa+5OsVXjtYBwxAl5mfurGh2ax3W\nrcVrr00DBiNe1LW9Ck0/4Jk76wD8t7bgpMaBQ28ap+serzioMTiPm2cNlCIdst06x1eP1nji347T\n+AAAIABJREFUoMats4YSH0uDJSc5Hi+7kWR8XRjsVFko2CZZ4rssW3N9v4L3CoeLFjsVJUte2ilw\n65RIAS2H+eK2hK8Q8N8w8E8Z/7s1aZd573G46AIlG6BQoFT7lPsi+UOipl0zS896h52CaKVFpnHK\n2NtuleHOqg3aZQCwV+ZYW4uNHXBQFtCc8b9b5CiMHiVoZoo8n7W1wTDvFjnOOsr4H9goZUpDQWHR\ndzBKoWXg/5BlbbQHtDIoMzI2zgMwkrtCoa1VxxpmHYVDg1ioisa6sT54bFoRhbmxHpNc42xjMavM\nyMAYpbBsCY9s+gE7pYF1UdtsG/hX8HDGB6IBeRuEHRmvobyHlAVXgtX0Y7B9Oy8plZsR4F90xsTb\nEK0zyfiXBMsU+JckTzFGWUaGnoB/E1SZ03NxjrAcpRRhOC4mSgqzLAD/jLP0fR9wl23tMq11SMQc\nZe4nhmkb+N/+P2iXJTZM2noYy8MMl9V1jd/5nd+56/ovfvGLX1N7j6SREUqu4gFAqLgAzagV4w5S\njx5A8DTEUFBZX2ojZxpv2IePI96KVtFLoTBMxBpyo2CcH62vco2ePYuCsQ7nwQbO8XFI7sY5E8Jl\nYjDL3ITQmXg3FUvFdLkJ9UOq3KDISMcszzTKnEoES8KlXKNgNnmmUfJsdkRkEAzHg6tXmliDhPuF\nPDhqU0o1K9A1KRAGIW3JRK3g3AnBV+QzMzGnQtoLszzEvk6xtHR/wWwyp8KzABDrSgabivNdcvaW\nAMJbvIkeQmWoXzQIl3GI6zJNIc9UdbnQnC/ldRDHlN/FcwIIl7lo0eJtJO+/0VS6jcpOcyhQvE++\nslwjeFSaz01guTwTPImObvi88kwj02Bauwr5N6GSpCKhznRJvRA6X2r3ouFKcBMgxU5Usl4wlDEJ\nIOI2sQ3Ba5QCa5kl15M8K0pFT0k0z7ZzaqjUc7qdoXLLKUaiohEQnEXkY+R7vA5W/haMTuu4XtNp\nKq9GYaY0LJfmxmzjOKO2HvDy9cBkHtTykoyMtRYf/ehHcePGDfR9jw984AN4/etfjw9/+MPQWuMN\nb3gDPv7xjwMA/vzP/xx/9md/hjzP8YEPfADf9V3f9aLtB0n91rJApgqeiIgx7tZZCLnMpZ5MYbBs\nqD6JzJ5Pg4Bjj1mdY93akLXv2TBIuEpzjF6y82mmSDRmCdt573Ftt4RSVHDslZdrzDcWzx6u8dSV\nCb58Z4XXXJ1CaxVYcEJTplBaiZNVj2dYlfmpq1P8vzfm+IbHZzhZ93hst8SS2WUnLAPz7OEaRitc\n34vssjNmot1mVWTnfMjRWWxsEM3crVXIHzpZkYL1wTQPGIhQwo8W5IVc2inQ9i54Q1Q/hrybs3WP\na3sVbp02AEBUctYtk7oyAOEsh8seuVGh7o8sZ2uSsRE5myNue762uLRTBMyBkjVjBv1J0+HqlARC\nb68aXGF2mRi804bYbLmmejKD99hjwct512OSG2RQWHakf1ZlGSZZFrL8D5sWV6oSvaN8GetdCNlN\nc9LJqozBaUe6ZSdtP5KVEQ9D8l866wN+s+4HTAqiJXdDVFPIg3EdJ2Z21qM0CvNmwG5lsGgHfgaJ\n8bhpyXsZPDAtyHuVMs11kQVKv/PELnPOo7VR7ViuS/BC2jbiM2koTzwWYZ6l7DKAjIB4LJKwKWGv\ntiVZGGGdiaeSssso+TJODrfZZVRPJsFL+J6ThwPkuYZzKhxTaMxpPRnxUmxnQ7EzANBKAx7n2GWp\nB5IaEfGYxINJw4fGkBcki1CaH1Y9mZeTkXlJmMxnP/tZPP300/jIRz6C+XyO7//+78eb3vQmvP/9\n78db3vIWfPzjH8d3fMd34Fu/9VvxUz/1U/jLv/xLNE2D973vffjsZz+LPM/v2f7/9cw8sKwESBR2\n1q15g8d2KxwuWuyz1L+Ey2gQJ6YWSf2rIPUvApkH03xUM0bi2FKdMNJLNaT+jOQTyCztlCtjPnV1\ngq8ebbA3yTlcRnkykkcjytGvvTbF0y8sRgKZ13ZLtNbhmTsrfOMrdvH084uRQKZ4MqfrHk9eqmEH\nh5tnlPszKSjZ85nDNZ68VI/yZETd+HjZncuTmRQG8w3lyVS5CXkrzx9Tvo33ZHR2GBu6PCtxk8Nj\nLWMpzx9T3o4HWPaftrm2R5/gNqX922cN9iaRUisU3KowYQIgBv10RbTTujBYtBaD85iVWagWebKm\napj7dYHby2YkkLlf5bizbkO4TCng1rrBbpGjMgZrS5OLCQ9a2+GyvTLHaRvDZUZpSsJUpGsm4bIr\nVYk7mwYHFdGtRSAzlHVmocxNR+Gzo7VFrhWWHRkaILLIBHPprCR/khdUcV7NTqFxsrbYq7OA5Ujo\nVmjNTT+cE9CUcLP3HhOmOgvBgu4DkyEY+E8pzZLvs94SyBQcJQ6yTEKwEr5Kw2XUbyKa2fcxXGat\nQ1HEgV6KoUmbObM00zyZbRzGe4SQW9P0oZ5Mqoqc5VmgMmd5hq7pzkn9SzVMpdWFCsypsnMY1FVM\nwrwoXJZSm8XQnP4vP3afI+v9L9fe/+cved/b/9OPPMAzefHlJXky73znO/GOd7wDQLxRX/ziF/GW\nt7wFAPCd3/md+Kd/+idorfHmN78ZWZZhZ2cHTz31FJ5++ml88zd/8z3bl5mYZLYr0MC1aiyu71ZY\ntVRB8qI6JKerDnVhcGVWQimpLkmD/dXdkrPe4+yNpPE5TyYJCQ3Oo2ZgXmZiEnJ96uoU3nvcPGvx\numtTrLsBXz2KasqvYTHMdTfg2m6Jf7m1xBsfnwXF50Vj8S+syvwNj8/w9PMLfMMTM5yuOly5Ng3X\n0/YDnrxU4wbnyTx5qYbzJD753PEGr74yweGixRMHFZyn413eoZygx/er0Uxrw3kyl2clZjxoAZRQ\n+YpLNeXJAJR4aR2u7pLH9QTn0EzKDEeLFk9cqoPaMnkyHR7br3C66nB9nyiOdvA4XJAy9LW9KjD8\nlAKOFmRY5oyPna6obfFsaH+Hy/y/kD2O112onHln1eLqNCaAeU9S/5MswzTPsLaUFHh9UsN6h2Vv\nQxnndU8CqXVmsF8WIbxx1HS4VBY8iBuujEk4zqWqDIPiWdfjSl1SZUxHDDSS+meVhIHzZGxksJHB\nMJQnM7hQMC1jsoaoiMsz2Q8es1Jj0TocTDIsO/ameyoZsOkddtjTK02GDTMb15ZKS+yxFwvEypjC\nxBT2n5RfDnkyTDIR4yFhrChqKZ6MTgQygaJgQoXzKPmcxBB0HXkydZ0FD6ksTQLUkyeS3kfBYIqC\nKmNSnsx5T0byZKoqH3lGsm3Pgql5kWOwA/Iyh+0sirIIOIvIzYgnYzs7qoyZ4ikpgUDeqbRUs8li\n6ebUwPy7J/MSjUxdU/nh5XKJD37wg/jQhz6E3/zN3wzrp9MplsslVqsVZrNZ+H0ymWCxWNzXMZSi\nHAqJImitUHFmvmToSwxfPBmjFSassyUVGyclGYqqMEHFNsSaeZ/cqBHmokC4QqapgJRWSWVMRWG8\nfvChyNisyoKsv5R4psqYVPxrf5LjdN2jyjVWLREWWlugzDROuCy0DLKLTY9drstS8zmLdlk/EMWY\ndL7IqOzWOYVgFOmIOUdsN2FgWUsJcZPCwLkchRlXoZzVOc2G+ZiiCWedx05FWmo7LN3vfYaWZ84e\nZAB2Ksoyn5ZZoFMXmQ7aZT17UgC9qNMqQ2ZYU87RTDtnzTkJzQhrzXvGb4zCjBMivSeQXoykvOTT\nPCPKt3eojYE3RCPOtcYkR6hCKZ6MUSooLnt47LJ3LUw4oxQcxgOtdVSKefAekywLKs3iwSgFlI6J\nIkbClA5ZTm1WuUJuop5XOk54jyBuWWbkXU1yzd4XvQdGac7vidhV73xQZDZaBTKLLJQH5WGsSjwZ\nwHLYSwcsA9AuSaTk9yfiOFRaWd5F7wUvGRulOOsXcD4yziSsJjiLPBPpIuWWgahjts1AkzBbpBGf\np0SLTpkYE5H/3yYxKKXCtiYzgAKMMeeOG541FQcPQXeVP4/PBO0y9UhmiXxdl5fcAy+88AJ+8id/\nEu9+97vxrne9a2T1V6sVdnd3sbOzg+Vyee73+1m8p/DXpiNtKOc801wV01k100V90PoaHItX8iCa\naaIbG2aPCduq4byThrcVwUvLOTaS52EHFzS4Guuw6QcuJEVMrfmG8J+mpxLLk4LwkGlpsFOaUERK\nDFGZ6UBTXmx6LBqL3Spj+fuIG61a0khbbHpUvP9iY5kIoLHpByrOxvIiFRMamo40vdaseWZ0TORs\nrcOKQ1BpMuWaQ2frdsC6I8YSDZI6aKltuiHci5JrvaxbG/q3YJaTEAzkPjTMGpOZ8+A8l1oA66Cp\noKfW8P0xmuuKGGZiQRQLhjCIrpnunDHAbfj6AEqm7BxVyBTJGcmhAShMRoXLiN6sFA20EjojqRhw\nLgt5HgKu54bq0tAxSLdsYwc01mPd0zPS9A6N9fyccWEwF+nNreiacc5SNJZCiIiK0t1AzLSOvYxu\nIAZaz+sByoOSZ1aMfG4UkwIQ9Mk6zgGz7NXEPDGXKEdLnlnMs0qpw+IxxDwWH2b88f/IwkrryIgk\njZQKEOOt9ViTbBgclw0QurPi5Gid/K8CxiPf5U9C2s65kacRiosl5yfGZrvoWGpcUlZZNGp8/Uk/\nxHFr67evGYy4v+Wi/KD7/ft6Ly/Jkzk8PMT73/9+/NIv/RLe+ta3AgC+8Ru/Ef/8z/+Mb/u2b8M/\n/uM/4q1vfSu+5Vu+Bb/927+NruvQti2+9KUv4Q1veMN9HUMxg4bDm1DM+AqFyTj0BJDHA9BLKjRR\nyzMxyUWRfXOjEZQivOeBy4zzZBTp3GZGI8NYhVmBBkhRI153JPEhhb6m/JsdPHbrDE3vglhmlRvy\nBOocOxWxy5YtYTDLhsgMS67gSbNDMo47VRZo1lop1LlBV5KxnJQZOvZaKqYlT9gDChRtQyoBkzJD\nxrk8OQ/gdeIdeiDkrQjWJeuEBi3fAQT6uKgeyAxayj1L4mZudOAwVUywkLynirer+D7JfRSMwGjK\nwBY1YQ/yRiQxUVhfZabDYFxoqv8iIazKmDAoC4aT8THEqxASQMYMoSx5ISUvZXCOMRuPQhNmk2nC\nU3JNcvudZioygNx4NH3iVbCCBD17CilJzfno3QjNWc61MDpsKxRnWShkFihz53JnCqNDSeVBCfvq\nolwVDa2onLRgNkoBLtCeAaUkjyi8pWH/6B3EaxI6shillCAQ5WfG771JOkX+Hxs7n3hR46qZI+ac\ntOMRDIw2+tygL8wzOh4zz4IwwNjAnMuh4XpA29tTf7Hh1Q9nUP//fbjs93//9zGfz/GpT30Kv/d7\nvwelFD72sY/h137t19D3PV73utfhHe94B5RS+PEf/3H86I/+KLz3+Nmf/dn7yhAF0qSr8/UofPJ5\nr65WuHgise0G+63/VbLdOD8g0lgVn6M8Q4I5wPtgFNNzkDbTl9HztulsUb4rRQCQ4tGABiA9plKG\nncbyHR7xBDhEPO6X5Nzku3RJum16XqNjhnPU8N7FY+Hi/r7XOunXF9s+7ZNwHnLd6fmp8fnea7nb\ne5rSmmk7FX5/KVNT8Za2a9OkizAb76et0T4XXK88k27r969lYEpDetvtR7pw8twkv22fa7rdtlTM\n/dyvi45z0fnc/8Xh/m5jst3djnv+XMdlBF4Cr+q+lpeTkXkkM/7/nxsUYpPMbwklADEpU0JR6clr\nFQtuicyLhGtEzl5m4bKMOPMqDuqC0chxJSyjlcJ80xMmM410asnMLzPyFFJMRvP5SE7MPisBVLnB\nybonDGRwAZOh8ss06z9ZdTyTVdiwJ5MbClO1lqjGUoq3ZE8pz4jBJZ5EZiiXp2UPRsoESN9tOio1\n4MFq14nUzZr7W8IyEkIDYl83fG0bVgSoCwM7UCij6WKfi6eUyv+nagziyeSGju+9D3k54tnIwJey\nAb2nwWvTDQGHAUgMs5T4evKkSBsdy7bIG+CA4Mmk2wqtWdruHKkDWOdH7DLxIgZPHszgPFZdJJlI\ne3QsH/JkLF+XYDLSHwBdZ6qYIIvlvqNSBPSbJGy2w/iVFgpzyKD3pATgPcsu+Vh0TyRmUrmiizAP\nGTYk9CXewkWjybj8cizSloppph6PhNJkm4sy/iP47kdEAtonmmspgWwtMe7ku2yXhsFkCcZh5Omd\nv/ZRmMz5YJTGXpfHyaf/2/Od8p+5PPGBz77kfZ//H3/wAZ7Jiy+PZDKmPASCA2hF9Nyg/cXJjZYZ\nX6lBEcxEBkIpESD7Sj0TAGEQkxCcVxwb50EszwQkV0RN9YD3VCjMOR8Unp3zOF31eGyvxAunDZ7g\nDH3vSVrmq0cbPL5fITMKlaMX+nTdo8goq/75kwZPXqrRWxfySpRSobTyV4/WyIwmFWbe92xDDLsz\nVj6gayXMhKRpOHGTk1d767DYUN7NlJVtAcTyyQ2xena5CFqVG8y5pPJiQ+0tG4vdSR6oxsIO262p\neNukjAZ81VoYzYB+MkCsWpL133QD41o21NJJyzeXieCm84TlSGG1+abHTlJe2nsy8BRKorDZ4D0q\njos2dgjGRvCYypgQjoICzroOsyIPlS+lWqeHD8mXmTZY9hZ1ZrC2A0m2eI+1HSh7XjMd2ZGWWTAU\nzrHqgAuTJu9pe6XIsCHxZKgthQ2rBEiulhicdvCoMhVCZQ3ncHWW2GelUaGtdTtEFWZPho20zNjI\nDAm7bBApobSUMrUzVmeOgzx5JlJPZhxOkvLLKYCfZYqNQgTw4/6KyyqLQXKclHneyFg2jrJ+XKNG\nY7DEPtOGJPeNMVHGn9sKmf8DhdKkDHOQ6A+emArGY9uABA9OqwupzQ9reTl5Mo+kkZFBtsg0dutY\nkbEuTJCIP1v32K2pdozMlAfnMauJeSV5MlK9cof1xXbrDHkSShqYnTM4mrloRTPLVE9LioB50Pqb\npw36weFVlye4cUJ5Mtf3Kzx/ssETBzWeP9kE7bI7iw5PHJBcv3ga+9MCrziooRTw7OEar7w8wY1j\naudw2dFg62mg/+oRrbeDw3PHm5An89heiedPGjzB0vuSJ3OyonoyIrWf5slcmZVBS03Umy/tFLh5\n2uCxvRIeCKUS5hsyoLc5WdMOVE/m1lmLa3uUFHmyItn+w0WHy7MiUJtndR5yY46XZITEIOxNcnTW\nBeMlSbWS4wMQFX3BdURqZihJ7o73IK24DSft8X2ZFFSDZmMHkpJRwFHTYppnqDJD4D98MDa9IyKH\n0In3igKLnvJkrCeaMXkQCvPOIlMKzUA5OMctJWQ6H9WeB8aLCsP6eiyXcry2wcCURkPssPNx5t3y\ngC/eSZEpnhyR3P+Uq7kWGU12qkxhw3p2m96F9XVOJSnW7RCMRF3okH8zYpdpuu5QRhyAYTzJe8q1\nkXeEBv2YaBln/2CA3SPLDKwdMAyxeBklSvpRnkzfOxSFMDzVuTwZMUhdR6zIngsWbhsZMU5tO7C3\nM5aVESZZ31E9Gakrc5GsjMnMyMCk+S7bIXsxICnzLnhIOhqjdLt/68sjaWQkZJCGTgW4lZiuMHG2\nY8CevVYJd9G+53+T/bSKzBbBUjRIo8wr+lTMapJjUsVG2kF+dxw6kk+AAFwRmzSa/rc6/pYzA0xC\nSLK9VK6k33QA44WcIBTSTEdqtYTyDLNszNafUFXT34BIfpBFJOjlN/kkyQy5dozWbX+mYfdwn/g7\ngfVxnffJvU3ujVbUkFLx2FopiFJKxv9LG7K/JM0CREM2SvH9VEFWxvtknVZQnsJXJjwH8VOORW3r\n8P2iZftXl1xbxm2nkReV9IMk/Er/ZUm/p30jFFql4v1OFykjcD9Yx72WMc0XwbjIG+k55Cjvjuwj\nNOd0UE7fubgtkt/G7+T5/dndpCMj7WnxrAJ7TI3l9dN20vM5h/Wq+BmuHUmJ5Qv65m6/bR/zYSwv\nJ+P1SBqZjIs5Cd1YK4VpRSGWWZK74byEFQgLKHMdxB+nZQalGG8os1BB0A7jcJnE/yWspJTiCoHE\nknI+sn0AChtc3aViWMfLDtd2WepkTjP8W2ctrnPBMIByWp47juEyiX3fZBXm63sVnj/lcNngQna9\nUkRVPle0zHmcbXocrujYp+sel2dEpmi6AXt1jlVrcYklXhx7Z511OFr1uLxT4GAayRcnK5KOmW9s\nUABwHDZbNNTOYtNjUhicbSwOWHDUe4+DaVRTWDYW+1xoDCBPMjMae5OY0wIAc/ZeVu2AKUvg1IUJ\n3qacs1QH9Z5m16tkvYTx5J540H3ONcnKtAMpDu8VBWXfD4TNGCgOlwGV0SFBEwDO2p7ybzzVfxmc\nh/UuysrAo/Qaa2uxU+RYs3SNdQ6rC1SYO6bDK0X/SxhPSiKkCtOZijViAPKki0xh3TlMi1TaiH7v\nLIXLAMqhaQcfsJgqU6iTBMdlEi4LiZWeK1ry7x4IFHNh8NFkwo+eewmPpd6MMRpa03aZ6NrxThTu\nUonngpHEjOwji3g94qn0/cBtRryG3ltwWI22E0PjnOJ2FCxLGYl3kuUZrLWhCJlC9FYkoVzCaamn\nMprp+vM4zihcllj1bVr0g17+3cg8gEVmUNszhDReHH8//7/MdxQwehiA8XOTzrLTRbFbE/lk43Nw\noU3w7CeyzTy4EFRyvvTCquBpKUVzJMcze8ICZKZPJxXq3fPMPuQFKMUS94kbz22mMzEhMdyLJz+a\nZcpviN6ED+2OPUOhJMtEevs+KT7HdJ14MbIueJAq7iOMu3T2rMKzIH18/o4RO0vF/hPvhvySALIr\nKBg1nqF6RFaUUrSP421kCFRQQLIf3bPkGkDe0aAAaA/lmKLs6DnQ3K5W8Rg6OWY4F36GaH30YqTY\nWPoJCIEg3i+tVJD0F28YDhgUGHNU0B5wivAZeQ7FI/T0ECbvhzwf9KCn3ow8MePfogGS+3qeiYZR\nKedwD4MXqsI26Xd5hmKfqdFzMfJQkmfvIq8qjAlItk+ew4u8ne2wWfqZPkvpsR6aMXj52JhH08hs\nuiE8/LKIFP+yl+Q/G5IK5eYLI6YfHPrOB0bYqo0JmUF9mBfZp7MusssQY9hKEcONBlYaqiSpsS4M\nzjY9Ew0MztZ9+Bycx7SkLPS6IA0yyuXw2CkN5Z4YhdM1ewlrArNP1z1qnmHnyXqtFc42fRALtY6Y\nXns1yYrkRrHqAIljzhuLTJO8SZlpUhFA4u3xMYTpJhiKeInr1mK3zsMxypwYZq112JXyvogYi5yH\n9x6zygCTHJlWwYOUPjdacTVM8pj2eDuTjLjiXSofs9nT6pq7wTuK7LK8ykJRtipXo5yfysfZslQw\nVWpcr6U0RJSIlSUTOXrGLHrnMakz9M5hJ6tIRNN51Jw7oxVt4zwlPzrvsWGiiTDHYunvMdVYPDbp\nI1JToHwgU6tRHRnZVisuFlepcJ6SeCvLrDSw3qPpx+UCegbfO9b9CkXNeIYuBfACFoIxm0rW+eTa\npPBZOpCDj0fvVAwdp2SQFJOp+FlJWW3bmAx5Nez1JuwyObZzHnWdJ78Jwy0P26RMxdT7SpfgKSfr\ntplo0jnbjLMLt3uAy8vJk3kkNQ+oAiVpTMkARCrIwAmrq561HezgAkkAQKjcODiPRdtjweDlmvWQ\nRHTR8UwtHWh6S6oBnXVokgz3th9C9jp9DjhjFWSlFE5XPZaNRWEUGRmui3K66jHf9EFL7Wzd43RN\n30UdQCnaZ1pmtH1jcbLqcbahv003UDE0lns/WfU4WXU4Wna4vFPgeEVG52TZ4XjZ4XTd43jVY90N\nOFl2OFl1OF3x57rHXk3HOV52OF7RX5lrnKw6SlLVxGibb3qcrHoSpVx1QR+uLgxOVj0mLLZ5uupQ\nZhqnKwqNna46nK17LFuiROfcJ9JvQttesarwfGN5wkCGcLEhZYOmJ7WDOfdBx3RqqYWTGyrAtuDv\nwmRre8cqyzTRO2n7oM0llUbB990OHovOYt0PWPakXrDoe/QDZe5bF0NFZ22PZW9xykKZZ23PngOV\nEMi5RIBi7Mcowb00h8eoZgwQ8RLDIVnnqcDZuo9/gyMFgUwBi3YYGRjL2fCrbkBrPRYM8su70lqH\nRTtg1TmuZaMoHMdYm1II5yf/i2epdcSpbPKeuGSwlLo3UmVTqqQK7TmqCFC4aPAUAuv5uvpEkRug\nsJe1joU0RTNM8f9EAKA/x38D+t6FDH/6PoRPa+lPvCihT1vrwndRFbBM6yYjRMeWYm2eQ2ODHeAG\nFxQEaCUivZkN4DAMwbAE5QD3cI3MS/37ei+PZJ7M//nlMwBkbBa9hQZwqS6w7gfMOLN+kuZi8INb\nZhrLzmKnyIKXs2b5+6Yn8cCGPSKZmaUU5pRU4H2soimzZWGYiYDn0bLDlVmBzjqcrHpcTyjMcv5l\npnHjeIMnL9eBFLDpHY4WLYpM47G9Cs8ervHqK5NwXU1PoqDiNbxw2iDTCld3Sahx0w04XvV40xMz\nPHNnxXiOx3zThyqdV2clrPOB+rpoLI6XHR7bKzFljAoAbp21ePWVCZ473sB7j1cc1Fi2ZARfOG3w\nioMazx1vMGMD9crLNZ49pMqlr7xM+73ioBoVM2v6AXfmdH3XdkusuziwHC87XJ6VOGVM6eZZi92a\nywjsEsNNKOreIwg7nq17XJnR+jtc3gBAmEmfcWVSpcgTJlyHnpF1P2CSE0tt1Q2sC2ZGpIHb6wZX\nJxWsaL65WKZ5VmRh1nu4aXGpKnHctEEgU0oLZIpyaQZHHk00MMQAE8MgagMl4ypFqP9C59INDrlW\nON0M2K8NzhrKaxLG2aZzwcvRbIiMUkE4M0s8haMVnZtQq8UgSfXM1tK9GQYf8ErxTDyHhQEECRzB\nJ2OICmG9eKOC5UjOlrQVyiGck/qPXoNI/RcFFSy7m9R/06RS/+NcHuc8moYmgYLtGKODsnM64hEO\nZFEUGbrWIi8yWHu+2FgwHol3kxIOtNYjqX/Jm/HOP5S8lFf/d//rS9732U/+Nw/wTF6JMBvwAAAg\nAElEQVR8eSSNzP/xr6cAxsWvZLCfi95XazErI/gPJHgGwHVoQKA/lwlYc2ljseXpiyKf6bEUz/hS\nVpZSNIu2g8OVWRkowzl7MCKGSXTqHE1H4pPHyy6UHd6rs6C7dWdBXskJ55uE8stsAOcbi/1pDgXg\nVGjZNcnf3zxr8NTVKZ473iA3isD6Dakb3563YWYrmmmaQ4aLpDLmrM7wAlOhZQAX0P/KThGMR8/q\nwTfPGlzbJQXkE6aTS02a22ctPCgEJ/11Z95ifxql/sWLEE9mp8pCvpNQmKUyJoUcY5EpodXWXLIg\nnQgIeaAffFA1XrSkvixGQ7YHJEHRBdypMDFZNQ1lAaTcrBWRBnaLHPOux06ehRLMlIzJM2YGztuB\nDN2yszQjtz60LUs6gNsk5CIkASoRQJL/sp8UNltziJQmT3G9eEFitEqWCJIy0GIAevZICPiP4THn\nPBw8WjbU8l4B45CZhMuELJDzZE2wRcGqHHs78j6LHJR0Q594l4I5ek+eR8ybicZD7p2UBOi6YZSM\nmbYDIBgYokQTZVoMY7qdCHduh9O2Kcxpf6T/i+pyGiYT8P+53/sBPOjlqQ/+9Uve95n/4fse4Jm8\n+PJIYjJiNDrrsOrpJd0rc6w78mSa3mFWSg2NyC4rMs0aYZrDUTQwkUIAscx6du0BGvTyoAgg4LDE\nlxFYRjQzBE81CUeAj8mYg6Myw1dnNLg/tleFF3BvkoeaLLLYweEWs8uuzIowyHeDx6VpgY4lfdes\n4Hz7rIXRKrDINr3DybLDU1fJk5BEzvkmyucLE00MaOrJPL5fBSzq5ikdW0onP7ZHuTRXZgVun7W4\nvl/h1lmDWZXhzrrnfCCqG/PEQUW1ZHZL3Fl0uMrGxw4Od+aUuyOenryWxwvyZI5XlBh6OG/JCK96\nXJ7R/j0bYucRwptnXMANAA4XsUCa3Mf5pg+Ub8HvZBIiSaqA4jAseb2pxP5J02G/LBIiBqsQeI9p\nwfV9Mh1YaCL13zuqSzN4TuJlY9YNnoUsgU0XPZB2q2iZVkx1BwAo9t74WM2AWUkeUG4UWksGdMWs\nMwfy1gRzbCyVFJix5D4AnG4sqVHYOFhaxoucBzoOUVlHISRJIlZKQSMmlEoZgCwxwoMnwwGDsE6u\nQcJnuaFKrDJgF5kJagPe+6DQDQBOU6Ez7/1W0bKoAED3W7YjjyfFZAA6l47HBMnfSdlq0oYYtL4f\nRscbhkg0IeMSNdJSdlmIy3rSSkuTMaVcwMMKmb2cMJlH0sjIIvkCQgEQttY2sydgxojSLx4AEi8n\nZbkI08jzvsK6Uelncg7yPfWYxIMSxpQYIil25nwEkenFjCEIzYNhptXoxTVqLC0iuRKiTizXmBsV\nCq3lJsrpZ0bzOh1Ccx3PHGWfXIqwSRa7EdXlCKznJoLtURFZB+FMkTmR/qXr5tkfJL9HcV8k/QZq\nW3KG0muT8wFiWNKD86IcRutTmRV516RMsxxf3m0hf9Dsmp8Pnw4gPNhpprCHp41GUkm5kOdHJGsE\n0wA0Mq2hOFwGOAxeIeOcewfqWw26zpwHaK1VuI7AFPNRQkmpeJ25UZwcCmT8u5aLhXxXyLUKWI9M\nLjIuiSzq0nTNmsOCgAsilApeC04pPR3bMzrKLmlmZKUCn0jeDXnH0pwl+kyuV97hUROi4izsMp1E\nGWL7ABIq9cXssqgGHXPrdHI+QDIehPWi9BzbjAtZlFCuWcVkyxFDTa5Fwm0PC/V++diYR9PIyMNn\ntEKdRZaPDKxFpke1YWRQVAoBW+mZKJAbHcIzqQ6ULFopaJO8DGAaaYLPhO148G8YxJwUJHs/KbMg\n+T9l/McOLrDLiK1F8emev++UBnmmsWqHRM2Z5FUqxnzK3AR2llakA6YUscgsYzC7dY75JuakzLke\njeSpSLhsp8pIJVkhSLkAwG5Nmfd7nJW/aCxmdYZVQ+yyOatDF8xQk7IE8B6rbuDSBBT2WvIsdLfO\nMasyGNY+m1WxtsdOReHKaUW1aaZlxvIzZqT00DB2UjJ2MmEFaABBu04Mivc+yK8Io8zzTLrIdHg+\n5FmRCaiwxjyAOjOB+eS93G+iaqc4TZ0ZdI5q1pC3S+EmUS0WlpVW5Ak3doA2RCuWMssySZLJUfTY\nxCiCM/s1ehdlbWSQLwxgPYJWmuCPSok6RhwdKw5jAQ6Dk8kaYHUMsclgKvItmSYszMnAyp8ePJBL\n40oFz0e8s3RglomBZasV5P7FQCDS/YV5JnVixmUBIiYjHoVsNzArziXHluJqAJUO0FqHukpDol0m\nRkrUDERTLYp4jrXVgCRtARgZnFGujE9UmB+Sx/Fy8mQeSXaZdJ+Atk2gJpORoIEk0kGlBobzBDYK\nQCmy9kHyXktVQK6xYd2oaiAQ4+Shtjk/vBK2EV2tmgUhK3bnV63ohhFIOwmGglhRFVOWa5YAWbZD\nICUQpZi8D5Hr93wtZW4Cg6rKSZNt1dpQo0Zq0OzWWTA6Cy7BPKsy7FYZZpzIumDMY1ZnKHONMtds\nNDLMm9jm4Ki4mNS7WTYWnXVhW2F2TUuDVWMxLblEQWlCwiRdH20j5X0HT/RvIKljw7F/6cuSB48q\n11R+m707qWVTZLHOTZWTh1awKKnmSYWIbcrgKwZAKamvwhiBjuoHDT8nAM9iEUU7xfsi3TCSh+mc\nQzNQ3ZpmcOicQ+88fzquRUMhGxKxJEkYYl/5IKIqeFRuYvE8gL73zqPkT2lHPnM+79IQ44yMKg1q\nZUZ/uSFPVkgIPV9PN3iun+QDE0ywFTqncQJhwCgueFdTL1TUJsRjEKKBeMFA9ECkPVFSELUGMRhS\ngdMYDWMUf8Y/oS6LNppsp7UKxkn2JwMSP+X8DCd9x+3Eg4lXKtcji9/qhAvzZVSSh7O9wwNaXk7s\nskfSk5GH02gVsrI9h2SEKdRaqmHifAz9KNDsXysw5VmFKpmSe5HG4cWcZTrVZULIxpaZZZqdrRgr\nsYMbAfVTzi2ZssaWVI1sO1JKXjY2eGA7PPBnRsWCZTzASzEyD7CnYwNov+La7fuTHPsTIgJcYaZW\nZsjTEFHN22cNAZ48m9+tMhxMKU9gzoKX3oOrcpISAICQwT/fUL7N8bLD/pSAfNGME0HOxcYG72lv\nQu14EPAv5IYzbk8W0TETwzerSJlBBFDB93DdWjhPTD6jVfB8vJdtXZhBAwgGyw5SMTUWVCuyeH9F\njwygSYvMpqdF9GQADmnxzJYMmELnSICysS54PuINDKzUnOsYGqU8mQEVa44VRiHX9DynKsykHBCf\nv4wnRdVWdn/Fnsok14GuL1n+AKAKyqdZ2xhSnuQmGNmgcu2p/ZHMjo6GxnmgswOdHz//4h3yS8Dw\npA/GWBhzMVlSIc9UwCYBUVWXqqwxrya894zROB8NyDbeIvcx9WSsjRgPgJEGmohsCgFACAUypigV\n25JPE641le0XY5sakDiObHstyhAes81S+7e4PJJGRu5Vax2WlijM+1VBIaXCBGl50fySwakwGqve\nYpJHCrMwy+6mwkwzXykR7APOYAePzFAsW757BnrICJgwuArF9vKsxNGiDVRbEXgkMgCB2nTentlm\nGvuTHDfPWjzODC4pZwxF4n+T0uBw0cFoFaRi5o3FybLDq69McGveRrmZNXk1t88aXNurQuE274nC\nfLQg4P/abknJjgBunhFN+YXTCOav2gEHE6JOi7L0rCb15ScOatw43gAAnrxU48bJBtf3SaRTKNb9\n4HG0JMN3ZVaE0BZAFOarswInq57IBcxmI9o1Gbpu8EE2SDxPojAX8B44XLS4tFOEl9yDatkbTZOK\ntidgWyYhDXs+iicfzoPDaHGgOGk67FdFlF7hWb9HWhTPYN71mBU55m1PsizOYdlbzlPR6B2137uo\nuNxYhwkD9mkul4Rui0yNcCbx2EfAfzAomkUxKdxVZRorrv5KBfIMlW3m/j7dWGaXRUC/lxCTj5L+\nA3swLjF28juAQBYwW2EgBQTKdKYVPGKyaMcU5jw18hy+S/G78N57haaL1OSui7IyKtEj856AfWGZ\nUV0jJOcegX9Rc86yyDDjowWvxVoXjkfAfwypjTwvPoZSUWYnxYEuKjHw8GRlHkqzAABrLT760Y/i\nxo0b6PseH/jAB/C2t70trP/c5z6HP/zDP4QxBj/4gz+I973vffds7xE1MjKb9EFYUB5m78c4Sfqp\nFJXf1SrOUuRmCJislcxdKd4uwJ/i46pw/Fh1MRAMEgA7zZ8RqjPkNwDwUQhSSAFyXpqBcfGWskAg\nGF+f4/NKM+KV4tK6rIMmIQYJW2SaQgsyY5SQW6a3gP8Ec0qB/3SdhCSlXQH+A0mA9xfyQjpjFXBf\nrleWjMMP0oaEWLKkb42ArtyHXsV7H3GYSO5JnwEAQfRS+ktK/IbvQRQnIQ4oHcgBkpwIfb7wV6Z4\n1qsVrAOMJuBfvBejSIrIKQXPVTDTvg5YTHJP00U8eNkeiMmTJsFs6JoFlFeB4KAxLn6WKQVowCgf\nnnevgd4jJF4CzLYCbRtn6KncDrWtFcn3xPO9QGwSkdwwmt2r9FOlBxq1lx7zbkv6Poaz9eP143Mc\nb6+Sw28fLz2HtA3pD/lfDJU8hWl4TIgAL0dM5nOf+xwODg7wiU98AmdnZ/iBH/iBkZH5xCc+gc9/\n/vOoqgrvete78H3f932YzWZ3be+RNDJyo3rnQ2EpkeqQMru5oVmqBiXAATTTbN2A3CkYDiFY51F4\nz+B/xFaAyMIhKrQGpMijEzAyxqFpJiPhNRNmhEqBY9u0pcwMhSqaGRXwAucRpFlku91ahdCetQOM\nNqHdnkM/gitJiEL2J1or9U83UEZ7yeuUUsHAtP0Q9pFCZ0L7lnbkfESGJ890oKBKJrfU1gnXyPuL\nIkNmFOCBTU9Z+p4HRcFA5HiCh8XvbtSmdQSSg0F3qV8v77b8rxAHCgmJyv10zqPIaMZJuRnRiNKM\nnHAS2b9zAzzIe9KgbaQoWc7SwkrRdrUy5Kk48mTIe+FEQ/EQuBS04eekYOJJx/lG0iNiHOKzz88j\nYy3IEajQdiAshkJpkTwgeKMdPFyOkaERHMa6sRRNwBp5xi10bRf6R2bw4HeFZ+5ehVwYmUylTCtZ\nnHgWelyaOXgB3KbGeLBMSzUL+C99nxoRqUmTZcJAG+ujSTtRpTmWEhCvJO1z+vTJZzyu/Bb7I5IR\nUoB/O39G4WFiMg+lWQDAO9/5TrzjHe8AQNeYZWMz8aY3vQlnZ2cX41EXLI+kkZEl1wqFierIUmQq\nT2b1SiHQSrUCSm0SD2M8i/QYz3L1llekVPyUWZ5QlKHizFM8GUmuE1AYQAjTpThOzjXNtVaUW8Bh\nnVC1M4kFA0w7BdFLlUIoCaC5H0retx88A+UEeMvvgkGIgZEk0PSYcp7STjxvCg+psC7ul6ojSD+k\n7UkWeW50YHU5HxldcryMwfr4XYfvQOK1+OhVpetFfy71ZHIT1Xilr8TLJOOjQtsuue/yfhSatcsS\nTybTgPbxBfKetqNnU0MrDj/JwMwzFBrfNIz24TkRQJ5+J/ZYoDDzVTiMKczi7QnInxkEkgA7KHzt\nvN6pc0yenNsqvA5Yp0yQvPcYWNfN8HUOKr3m6MmIV6955i6TJlnGHgt5i9sepEQQAv0YF9C3kxCm\nAPMpLiLrxFjcbYkU5uitpb+JodheL/0z9oTomgGfeEM+UKzFoxn1QWjz4WAyD9OTqWtSLFkul/jg\nBz+ID33oQ6P1b3jDG/BDP/RDmEwm+O7v/m7s7Ozcs71H2sgYrTDJTAhj5SaC+CkdOTfx4SlZxiKy\ndmKIJwUdZdHqvIGh31UQTJRBRzL+hZVW8SBe5SR4KWKYkvBX5+QFCK2Z4tG0TV0Y1u1i6jLL3gjl\nGADKjKjY05Ky1sVD2a0z9EMWGWas5yVU6F3+TTL+O0vVPMVrORtRmCPpAEBklLWRiDCrMpLxcX4k\nyS/0ZKFhC3Nsr86xUxHwL8QFgAF2pmNPyoz7JkOmFSalCdpiIqEiFOaMWXkphVkSPAOFmftdsA7v\nVTCQeRZzaCRhUDxNGTwnjN+EwZQnIwbi6dIzVfE9rNiTztmQiNdiFOVNaMYwSOafExE53wUAnBnP\n4h3i7DpSmBUbcKLPl3y9VaaRVuIseTBGTqHidojAf8UVZInCHEUqyduJHoZVgHYehj0eYphRLoz3\nQGYQPHmBNcjjQwj1ircji6haiNeUUpjpuFH+BpCEzqS0t9EB+5BJh2wn4LywyIQgEI6dRZxGa8UZ\n/fpCjES8JZnkyfcUi0kNDRBDcPR/SnPm/hAy0YWcvP/85WF6MgDwwgsv4Gd+5mfwYz/2Y/je7/3e\n8PvTTz+Nf/iHf8AXvvAFTCYT/NzP/Rz+9m//Ft/zPd9z17YeSerDuh+wYU0lKdYlA9BR08GDgFoJ\no8hiB2KODM7jrO2CkOGKQ0NnbR94/fJAyuy7H2IYqu2Jgtpw2KfpBrS9Q9OTIOechS61oropa2Yx\njQUyOyxbEtOsclJhnrNwpohNKkWilyI2uWxsENBcNBatdSSQyS/rKYtsniXML60Vjpckmnm27nG0\n7LDpBxwt6DdZd7RocXlW4nCR/LbsMC1N0FHLM41jFtY8XnbIM42jZYcq1zjb9NitslDpcsb/T0ti\ntJWZZgFPEvfcqbIgnrnuBqyYsj0tDRaNpXXrHlVCBT9b95hvLNZdFCFdt5YNOdGt5xsbSkPP1z0W\nG+pPEchccSa4UnS/OyY4iOiq0Dh7S3VgNv2AVWeRGRKdFMHHNMS36CxWIpCpFU7bPhSGK1ggs2RP\nKtcaRmkYRdTcjgUt11Id0tDAnes4SjTWYdU6LDuHdUfGYM2VL8+aYVT4TsKTq25AEwQyo4JA7+g3\nEskcYDR5b5lSwQMSzMywV0SY5LjgnWiZpeFlGUy990kYk8RPpTaNiMyKltngPJp+QMtilELSkfak\nvyUNQSZ3ImzZ98PoTwQzxXPougFtG38XoU2hHlseR0Rws+9Z2YBZaSIjI6yzYYiGTIQ05TM1cmmI\njcgDA69zMey2Dei9TJbDw0O8//3vx8///M/j3e9+92jdbDZDXdcoigJKKVy6dAnz+fye7T3S2mXe\nA51z0KDwisRy5f2UGZFI8susSTLexdqLJyT7plechlgC4IsI5kv4RCGGMYR5JJ5PbsgjEU9LQkhl\nTjTXpmOWDcfZRf5GQkBt70IeTZqNLy+3lH8OYZecBu8y1+G8cqODgyYKuWlBttwoHC46XN+vMOci\nZAAZLgkvAjQITpjBJwZckijPeFvBn2pm7QXZHV4mJZXJFg8ipY2fJUXLCtHe4lwhKQlttAryP0VG\nIbd10l9SxCuA6IgCjineliYJps+K97EolyyCP8UY/Fh9ON1XKVFQJkxGBDIJk6FwWcc4TT+4sG7w\nLDUDFSpxyrL9FjqIwGZkbgWFhyEmfkrYS8J2YmjS6xoclXiWZ5Zyw4jCLNhZmisjeIpDpA6n1z7G\nM/zo3ocBlveR/gcQ3s+Qd7PVnuShpf0djhH+T/GROOjLX/o9NQSpiGY8ftxe8mViqYfz9yTFcsb4\ny9a1+/R/j2d+58Frhf0XH/3fXvK+X/zv/+t7rv/1X/91fP7zn8drX/va0F8/8iM/gs1mg/e85z34\nzGc+g7/4i79AURR41atehV/91V89h9ukyyMZLpOb1g5Ru+xAF9jYAdMiw4ZzZYIKMw+GVaax7C12\nkAWZkU1Pysai7NunMxJPMzkZkLVmAUKt4B1JEdoEW3EcLigZI5lznkg/0Az6yszgdE3HIyCWZqOr\n1uJaVQGe8Jd+cGFQPZiSRzLjWvcC9CuFEE4SKXupaLlsLOabHk/tTHHrrMHj+xUGR/kvszrDfGNx\njat3SnLl2Ya8owknbIrY5GJj8crLNW6wHtmTl2os2BM5WnZ4Yr/CjZMNoBQWjcWTl2p85YgozAcs\njvnkpRrPnza4vhdVlJeNRZ5pPJaoMHs+9zrXWDUWk90Sq2UXyAZSd0YMI7wPIPWqHYJw6Lq1QedM\n7uWysRyeUTyzJiMo3m6Zm0BU8J5wndTQrPsB+5kOg6AkJlJiqAmhtnnTY1ZmWAqFefBY2yEB/imM\n13MSpFZEya4zhcb64ImMcDEzxgA6Bvgb6zArFdatR2nI41FKB1Vnx3jPonUwmjTSslIjTwbKuRgZ\n61hfja5LJgoSIRgG8j4cxoO/vItCOxaGoUmOIfkvRqtQOI72cdBKh20FCxMhTQrDJSFqkAip3J9h\ncJzvQlIv6Xl1XdQ4kyU9Z5HuN4a8EykLIGG0NLQ1DB55rlgdwIxq4sQ2xxTmbYM1zpuJ4pgPT7vs\noTQLAPjYxz6Gj33sY3dd/973vhfvfe9777u9R9LIAGBAnzEWBtYK9lAK1gcT6nGZZBxXxoSH2oNB\nZx9LKKezdoOIs+jEa9GKTkA+U0qpUgTeO0egu3gelWTs55p1omJCZ8ncexlcMqMDJkOqwSZ6YD7B\nmBIAP2Ug1YwBNf0Q8InM6GDcBN/IdExInBQGm4LqwIgaNQDUhcWmo3YAUhmouYxCXRhs+DsZasNy\n87StdT4cSzAp70nloC4IS+kGFwqPeR7480yzsgFde5HF/gNo0BWWU8bhHCo2Ri96lZuRVyuDEiAT\nBx3wAcHlpPuEhCBEEBlMRL4oEAK05FGoQDBw3qPKKIm1NlQMLFPMyvI+SA/J9qT75QFwYrBRNOiy\nVyOkBjk3GY8klFbyc1BlQvEmKrnIzISSAQKQ52rkOdC+OmiRhXMcPCTvJBgRRfklYgyc84zM0/qM\ncS7x5vktDccZ5bvwKCxG3yfbCNMrpZjTeXg+TqJhZ+4ezRdMZuw1xPVpWec025+OmdKX1QiTUSri\nsCnhIAX+U2OWGpfUCzJGkm7/vfzyI4nJABdS6JN1fvwpf8FtHbuwsm67ybsd436OfdEO2+dwj0bG\n57i9Ghf/fr/n6n36+n9tS3h4xx8XXre64Pgv9uwTtXPrWOnO/KfU+Wtgm8/G4d7HiU2qre9b7d1P\nG3f5fZt+C2AUbr3bunPnodSF6y+6RgqTjbc9v815+ZD0q1bxxVd3Paftc1dbbai7nqOcg77gGu/1\n/eI+SY3XRceJ28bw+N2Pc9F+29uN82XUaPsXe+5e7Dof1JK8Kl/z39d7eSQ9mQ1XtquMwZRjfRKP\nPtp0uFwXOG46XKqKwDYDaKZWcgx/3vYwSmG3yrHqLKZFhkXbY1bmMXlTx1yDwYnMRgwBiHcxcIhD\n3PVVS/Vkru6WOF522KkyTMoMpyzpcrLqgqxM07sQVhIq8W6dYbfOAKVCLZajRYsZh7HEUygYTKfs\ndo+TVQelSFbm6m6Jrx5t8MrLNW6eNkFW5tYZ1W+5edYEoJjELXNc3ytxuu6x2FjUBYXLru9X+E83\nl3jttSkA4CuHa+xOqC7Nk5dqfPnOGq+9NsWyoRDcl26v8JqrU3gAz59s8Pg+FV171ZUJnr1Dxcwu\n7RS4PCugADx3vAmSNR7A5Z0Cq5ZKOt+ekzpC01NJg8NFB4AYaItNrMmjFbHgTla0fo+3lfANgCAK\nKiFGAypdPWUhUgqTUYhKGGMN113xHqgKEidNsR6Znc+ZqbexAy7VBY43HfarnLwmof56YhINnjW3\nFDBoYNn1yDWFuKjsdMzDkDlua8eVOCWrv841TpsBeyWVdy5EniajEFlpFFadwy4XMKtZTWLRxpop\nOwWJbCqlI8ahFYxmXBGaqm4ORMl2nEC6au1oAiHeh/eRoQZEJQDBIyWURpgmeZRtH0txCP7o+WVq\nWR5IKRXaAYBNZwnr7GI9GSDiK0VBpRuaxgaRzDR8JWExKXzWNPTZtjbQkAWDyTITygAMTB6S0NiY\nXYYQShWjI+eV1qGh7aI458NYXk6ezCNpZCQcsOxtwGQuVyXO2h6X6wKLzuJyXYZCWsIiq43BSdtj\nN8+wX+VQSgXDsukG7JZE45Wa44P3oahTkenw0ETZj5g5PzhP0z+PoN11wppf3eCDsbjFki4KFJff\nn+R44aTB4wfVKBnzhdMGRaZxdbfE88cbvOJSjaYfcDAtAiaz6YZQj8ZoFeqpbLoBz59s8LrHdnDj\neIMnDipY57HgAmenqx6vOKjPVcZ8niVgXnm5DsmY/+nmEm+4voMv3V4BAF51ucbZuscTB4S9vO7a\nFF++s8KsynDrrMFrr03xL7do26euTvDMnTWeujrBV442ePXVCeCBZWvx7J018kwTxsPCnN4Dt842\nuLZb4nnukxvHG+xNctzgmjpyfSLNI0yvowVX3gTwAl8HEAF+KQpXZBrrljCS/UkO6zxWLFCqoMK6\nKjeYliaEqA5XLS5PihFY3bF45y5jRXVucLzpcFAXONl0sJ6A/bW9u6yMsNZ2CoMll/EWHFBCfFVG\noTRZGksG42RjcVBnOG0GlIYwmjrXWGwc9io6d6mcabTChg3Ofm1C3xyt+y1MBi+KyThH1+JUBNN7\npu2nOV9SrAwAE1pMCLd577HpCHesuR6P80Q1F1KHhFblXAFgxZUxy9yg6ei+eWAUAvTec2VMj7LM\ngjFIjcJmQ89cURh03UCVLzuqgCmGQLPBb1sbKnEWhQlMMwqdxSJ3hN+4YGjSImui8CyLGJi0Wua/\n1eWRZJf9w9NHUIixZwCBYSMezFnbY6/MA5goMXPxUpadhVYKO2UWMIdla7HzEipjAnFmq5ViT8bj\n8qzA6arHtMpQcP7J3iTHnCtjiuij6H4JqD+r88AUO2IdrtNVj1lNJQHEk8mNwpJn/QBJ9CtFM/nc\naC6PTAXHMqOwx9L8B5OcKmOa6MnMqoxZbbEyJkCexbOH6+DJPHu4xj6LXr7ioMYzUhq6pQHjK4dr\nPHmZkrVun7W4tldSeelLNb56tIEHeTJVRpTe5082wTgKNtay9tzRsgtGNTNE51ZAoDlLH8q9mK97\nAAiVRoHobexURHiQvCTpr5pxKin5K4mvzhP+JOytissqCJ6ThofWHZU3bgaaqHbJ8acAACAASURB\nVMzbHjtckllEMK3M7BkLCpUxe3oOGzugTJJS09euG3wQydSM3XSsErBsB+ywJ6OhAlNt1Q3IDJVc\nnpUm7NsPVIJB3oMqU7A+lqeQ+xCUCeyYZUZ6bR6bdoBDOrCPzzt6Mj54IOLVpGzMNM1ASl0U2bgy\n5kjqn7HT1g7ItBSgG5dXFsDfex9oy+J5hFwcETdlsL9tB9YvsyGHRbYPahtGjxhmKUNNFqWimkDa\nLykhQBbZ7ku/9b140Mt/+fH//SXv+3//yn/1AM/kxZdH0pOhaMJY0VUwjHBTkVIF1Tkcw7E+lffC\nmKGXR9x02Zj25v182sKYsij7pPhO/PRBGBCCAaUt+fHDSu2qcNbn2kuuRTAl+a5GbYxTvV5stvC1\nzia24Jlzn6PfzuEr4+0FR9nePsSKLzrw1nHCZABxMpB+bmMsKtkvHAtJQ8m5jOL5yYRjfN3bulok\nHZKesvaAU5R3olXEn4RUkiDOAIShhJD9nuIt6SeJRMbrIcxDhXOPOn4RL6FHXUF70YDjMBFiYTGl\nPBdx4+tRAPhYqdqBCwKVauvcYjgpvQdjXCPd8/z/qUFPlQG2b1VcFzXDyNtIQ1gIv8V9Ukwi3deH\n74K/yG/xFp0Pl40fT5+0Pz732MaDX15G0bJH08hIlcLNMFC4DAqXqgKLvselqsCyt9gvcprdKYVF\n10NDocoMFm2HnTzDbpETfsLKza112Ckynnlx1UJPceLORekPAJDyy6kEifMgRoz3mAXPgmTvB0fh\nmks7BY6WXcAgLGMKh/MWV7g08bSk3w85AfLSDpU5fmyvRD9QuWY7UAJh01M5gSNWYRbJ/LZ3uLnq\n8KrLE9xhhWfvKVv/YEKKxk8cVCH043jdzbMNHtsr8eSlOiQmfuVwjVddrvHsIeEpr74ywdmavJiv\nHm3wqss1vnK0JnXnOWEvX+Ftn7o6wbOHa1JjZm8GoHLHN443yI3GEwd1oEsDwPPs/dw6a3B9j+jR\n+9NYtpqub8DlnYKpwJ77t8W1XQqh3WLFZxl9nAcnrSrkWRYKns24hPO6jYXgGlYFqHLz/7H3rrG2\nZVeZ2Dfneu69zz7P+6gHVS67bAISSElMCAnYTVCUmP5lCZkAwskPhGRFSAh3EiMibCmtFsEB5Q8g\nLCGhUFaC+QESUkckTacDtPMQoYkEgbaNq+wq1+Pec849++zXes1Hfowx5pxrn3Pr2tf3kluhV+nW\nOWfv9ZjrNeccY3wPTKuYOrnYDjjieynpUWupXiDrVYXGqjM4qCliFJ7Mrv0yfe5hnQtRTJ0TUq9j\nWLvzEUVWZgqlijIpA9dXli1FsevOoswV2t6jLmJ04z1wUGVYJfbL8yrDfi3pMo9FY1mF2YXOcrA+\nRF7t4MK6wjWK7HUfU8t2rGkmnX+RaxRA4H+l1ua9ochQ0mWRO+ZCSi2VKMozsMUD3R/xEJKIURZJ\nZXrvUZbXp8taTtEWhcYwOBRFFmyWY7qMfo/2y3aULhOXTjqfyMWRcx9HTnoU4aTfPY7lnVSTeSLT\nZZ//0kX4XQQyK5bxMM6zZ0eE+sp9lAK+dBIp0kdhrCcmS6rJdD8ypqy3S8aUFy6YZumxInGV65D/\nFlViycW3gw2kUUkTyPoBxulF4oMKyQLZnlZ58LQvGJ5ZsGmTEO56hjCLTA2BCGggXCfpsnVnA9xU\nlgMu/DsfVRSk8C7RFkB8oUFcD5UKHdf+JA9kTMcpLzodPyJj5gxMEDKmFH2pQGxhPRi6TIVogR+L\n4CgQIelpJymdgE3uRUrGlPam6w5ce5P9jqJU7lTTdBMQyYObdJDh1JeIZg6OaiFy/pJOkrSXLBRx\nR9SXw5gASc82waKF0KkUwjUHMCJrpp9Z79EOkahqvWe+GEnQAELapHWcjzUIGQy8xyh9Fq5Rcn3k\nmstpSTH8fmTMsJ/kGsg5p/fKeT8avHahy6nnjKSzhLkf9mWj50xKBo3txKjGIuczJl1ezUikx7ie\njAn8zS/9IB718m/+V//LQ2/7Lz75Aw9e6REuTySEWW5aa20o/kvuu8x0mA0KIqc1NuTAN8aETkUr\ncjLUijoRyREPrJosqB4pakqHLy+L545L/rbOB7mMkvW1CubKCDJp29sggGk94f63nSGOhFZh/U1n\nA4dF2P8ywMixOka1bTuSWhEP9G1nsGL9sRUXtbNMYcPyKis2Pitzsl0uc401u2m2gwukRw8EZ81l\nM2DZDCO3zSX/XDUGq2YIzpj0OyG3Vg1pmYn+2V5FCLpVa7Bm98ymp3NtmaRpLBXjKz733hCZVUQ4\npY5UF5rvlwvK0GWmQn2I0FpkG9D0NvBfUsVomlFLB4MgGxR4Vpz+EKRZev8H3k9an2sH2m9nHBpj\nsTUW28FiOxg0xqKxFq2l57ExNFD21tIz6BwaVsLujGOl5qjaLYMO1V+Aho/VMqEy/Bzi4JgpatNg\nKVqRyZdIx7TGoR3ou9Y49JYGnN54dNaPZGAG6zAY+pfyZbxnRQAbCYlpR6pUHFyiLhkCmVUmazEr\nEFWuAYxSbANLzNAA6kIqUP6J9I1IvQSOm1bJ/VRBOkYpBMRYSrKUdgOJEjVPmEgaJg5IdD5pXWhs\n+TweXDD6/XHN4WN67xv/97e9PJGRzD/9l2ckJZPMrq33KLTGvbbDcV1h0fU4rEqIICIQi/cA6U1l\nSmGvzLEdKGW27g32ypghlBmNFH8lkvE+SsikKs3y2bajQu8RO0Xu1TmKTI/sj63zmHGHu1fTzF5U\njUU8UoFMvI72yrAfASlIdLLpDPYn7ETZmgDnzTOFtxZkOCZFfjn24ZQg07uF/4KRV2nh/3hW4NXz\nBi/cmEIp4LXzJrhdPncyxct3N3jhxhTbnmylXz3fhrSYpLheO9/i+ZNpSLkd75WoCmJ6v36vIaQY\nP2Y5S/BMSjJjO54VgUx6b91DKWDGkZrzVNDP+D4sQuG/wMW6DwVnjzGEecrgjmUzYMLOmsYKOTdG\nNCmEuSpo0iDyRdK5AeABnhQo5lWOVUfPkSCkGmPDrFuImR0XwVeDQabA9hRjJFVMj9HgIZFCnWm0\n1qHONJYhNcb752hm0zue1FCKTLa1Dlh1NkRkNU9qOhslW6xjkzKeRIkNtHEIJFhBH6btTKMZ6UBl\nciZF/VTiSTp2iXYzTc+/0AwAMCAjqiyI8nTb2/CsXAdhFqZ/15mRrIzojxVM3pWCfyz821FhXwia\n1rqAEBsblY1rMgBGg1UaTe2mx+Q5+tJ/8+gjmff/w3/20Nv+2c//e4+wJQ9ensiaTK6oJrMZDKNz\nEAaW47rCqh9wVJUhornsqPOZ5jmWPSF/9quCOpp+wH5ZMIw0ZyhnDMPrLEPvCPmT6eiEKamWIPTn\nY5FdajKX2wGHsxKDcThjR8yzFdcLQKmKvZq4K08dVHAemGmSj7mzaFEVVJN5c0Hw3W4gDo2gcbY9\nSa3cXXYEYZ6RdXHTW1xserz75gxvLgja65zHkhWU763JAVNg2CJj87V7DW4f1HjmsEYzWCgAr5xu\n8eKtGb7CA4RAmG8f1Hj57gbvuTXDl++sMZ8UeOOiwXtv7+GLb60BIMCb33Nrhq+cEgpNoqNXz7Yo\nMo1vOZkEVBgAvHFBbpuv32vw7BHVe45mJe4uGzxzNAnnLQNTZ2iWfnfZ4emjCeA9Xr8gKR0gAiPO\nV+Q0KjI83tNgZPjcJyUpWa9bEwaVKUuzAMD5psfJrGS9MM77c+1A7LCrIsPFtsfhpMCiGUJabFdW\nRmbppAigsB5IBmbVG/TGh9m8KFUIf0aWztAAM4Iw54rVFgjCvF9TrWK/zrBoyTmzGejzgzqBMG/E\nGdMF/o+k0Jyn+p6k3ax1IXrJmS9kWDtQODASHUoklWcayCitWuQauUccfHliInUVSSEPNq3JZOE+\nQhNyM63JiLvpCNEFoGEIc1lmIaKQFF+W+RGEuets4nypecBS0Jq2E2jzLoQZSCHMEcEmqbUUiSby\nNbLIYJV+9iiXd1BJ5smMZP7wr8+oDqOzcDGNIzmZs6bDjUlFdrlVAZO8rPISAaTAq5XCQVVgMxjM\nijwMOLs3KM0RS41GYNHBh0aNIczW+QA9nnFKasl+9ksmEs4qGtT2GXIrMjKSwlIgK+GTeYXFpt+J\nZKioumkN9rngv2oGKKVwMKHt37ho8ezxBHcuIxlz3RKMmiIZPYpk6kJjzQrPEsncmFf4yukGL9yc\nQQF49XzLNRnDZMwNXry9F0Q1Xznd4oUbUwDAG4sWzzAZ84Wb08C1OdkrMa1yaAW8et7gxjxCmKuc\n7IJnVYbThIxZZARpBhiOvCVtMIEw55nGxTolY3bcyanw2WLDZMyaIpnL7YBplQVRz7TQbCwpAktN\np2a5HRHkTFFaovLcGoeDSREUqaWj3LIKsTynEsl4eCx7imQkMpGXTbYFYiRjPXVgdabRGIdJTmRM\nGlBYLdj6rzuScR6YlTpJtflwbGOvRjLOx3ThJgFrpF1ECqWO6eRvPJKRpTPjSEYg5o87kgFi9KIU\nqT5LJDO2GLgayaQ95m4kM6rh2ccXyfxb/+h/feht//S//P5H1o6vZ3kiI5k0TSaF/0JT2L9XEFJl\nWtDMtFBRAVhmoJlWmBV55ECwjtAsz8MMbPwz8iICDFMlumYqAgEUovCidaTdVbBXzaTMMPBPKfBr\nTbyQaZUT+olROB13rHt1jm4g8cfUyAsAF/kzQpspUkeGUqgKKpTPJzkGS06XYvwlnfJ8UoTCumiX\nXXLNBbwv733wixEE2HxSYH9CUeC2t6E2I4X/eZ1jycid/QnVYqSQL2k9YuyTx83+JKcBje/Rkus0\n7RAdOkXuf6/i8+PzcN6HwbDpLWZ1HqKbPe7kc54ECLpJwBGe71MegBERKeR4cKqRTGIsiWhqRZp2\nsnhPWmnyPDjn2Xsmppas82GAEJ6M8z7ok3meCHmMC9+Scil0qgRAg9sk13CgQQKIEyEBMtQ5Rd7g\n78khlkAx00KH51tSY9ZFtWRJlflQN0EYYGSQkYhFIP/yubiJZkrBKaBIzqXINbSLXDWpexWI5wDo\ncC5y/wKCS8fPizya8aVQfYmS6N4Qsz/WR6RGE+kPomGW/ozvvg6D266+WUyZjcEZ/Ft4NiIZU9ZS\nsU/ZARk9yuWdFMk8kYX/rbFoDZHBCq2RK43WktTMZU+z2ctugHFEegPoMTUuQnYvuwGXPc3814OB\nB6XOiGwWB5g0Nzywh4YgbYRt3g0uFIEl9bRuTUi/dAPVFAQhJd+3g2W1ZR18T1atQctpBK1otl0V\nGVbNgKan9aVQPlhi8edcOJVi+rajjnqxIekc8Zlpehtm84tNHz5fbAcsW0OzcPa6ueDvZxV53VRF\nRr43/N3FZmA/mB7TMsNFIplzNC1wNC1wsaHITTxxLnjbJSPIJiW1cdMarDsTjNBWDSkxLzjSkOjt\nsjFY8nksG/KT2XQEGKj5GomK81LACHxNxIp625nAJ1ozqEApFQr+QEwZCRiBQBskYSL3PUV2bXm9\nFathE9E3+rKUmWYfGYWCUYS5Jm8Zw4NKx7B0uZexQE5RT2MsGkPAAAK5kJrFurMkNDGKZMifprce\n657tyUEDTGcdNj3927K6gPwL7coUu22OQQJFRhFjzgKlMjDJwCidM4Bg1SweMt5HoIS8N5o7cAE6\n0LWNtR6tRH0gAnBkMjew6oX4zfSDRT9YDIML3jDkF+MSnxnHf7sAApDUl+H9GeOCDI34yQiQIK2p\nxOK+ozRi6hPjk/7DiRJABAGklgOPa/lXhf9vcvln//IcABVUN8ZAgWRl1oMJbP/DqkDHiLF1T0z4\nSZ6FlJio6ooywHow2C+LK0XaSU5+7XWWhZmHqMXKLDgbfQ6WKEGABPfGYdkY3JiXOF12I1mZPNO4\nsyAJFYmyusHhghUATuYkK/MMc1dE30wBIfVzxjWZI+HfWIeLzYB335yGmox1PqC/LrcDbsyrUV1p\n3ZpQqxFNNQBBKuYrrDv2PPNk5pMcr99r8O6bM3z5LsnKXGx6fPuz+/jr18mk6D23ZnjldIv33p6F\n+g1AnJW3WDbnXTemuNjEmszZisAC5+sezx0TP+dor8S9dY/nTiYhVTNjleimJ5DFxbrHMww4+Nr5\nFs/y745nDKcrMlfLNA38ziPUt2QQU4qQaXIPRacMAO6uW9ycVcE+Qky5RHVAOpXzTY+jaYmLbQ/j\nHUv9mwBMua4m0xoXZWUMdfykniyyMuO5Xmcdykzj3nbA8bTARWNQFyQbMyuJF3M0zQNMf9GwrMzg\ncDjJKMrg2fbdleHCv4sQ6K+DJyPPvuGUT8+Dn3wuHXJMPcXfBRDQDRZlnkVEGa8vOnKO06fhPgJY\nt/SsTMoMm44M6ry/KivTcJqsrvMrSC/nPLZbmmCWZUyVta0JNRxZnCPOTVXlaNsBVZWz6VlUbKZj\nUl0m1ShLIc8yUMki18Nahy//8qNn/H/Pf/1HD73t//Gzf+8RtuTByxM5yPyPf3k3DBoSenfWYpLl\nuNO0uD2pcbdpcVJXMN5hwrGq8R6lJsG/e22PTCmcTKIEzb22x1FVhgdH0mkpZyKmJaKcuvBrJH22\naQ2M80Egc1aR9L4QMi82UVamYz2y02U3QpdJ3UXIlKcrSkVt+x1ZmdbgeK+k6Gw7BHTZtGKJl+MJ\n3rrsUGSUIlvfB122V+fYn5B3TVqTub1f4ct3N3jh5hQKhC7bFch88dYsyNV84c0Vvv3ZfXjvCXl2\nc4YvvbXGi7dm+Js7BAg43itxPCvheJ2b+1WYAc8nOS42RGIV3bVVS3I/r180UEphzgZpRKgskGmF\nSaFx57IDANzYr/DmRRPqVt57nMzpXnQDpe2UAs7XPfY4DUm5fQRS5sCDj+TR9zjCqorolxIEMhup\nyViczEqcbjqcTKvQUYrdtgPP/kGzdw+Py56iza2xmORZSOWlKaDW2FFNZpJnhIgsMtzj4r/wanrr\nUGiFJRM0Nx0NLDKAtMZj2Vq2GQAOapKcaU1El3lPA42QRo2NJmYSvWzaODFIa53pBE2uo3MeZZGh\nZ6KrvCcywZHoRUz05NkHEJwytaKUZ8VkyW1nUBYZmt5ca0A2qXJ4ANtmGNVkpABfSpq1MShLzT9J\nKDMdGDOmFgyDCwKZUpNJ6zKpgoF4xUh7AISISdopUZPWCl/4xQ89qMv7hpd/5xf/+KG3/d8/8cFH\n2JIHL09kTUYW71OiFoI8TIBRsuSD31l/XJhLJWgwlmaRzxWCokycucgxroaX8Xgx97s7VKdFQ49x\nG6+c26g9MVyPbONkn9Ke66YGSXuuW6777mFmGKOXjj9Lo3Cpaank2oU8+O46XAO7n56+Cuuq0T5S\nCY9dSRlpS/p3lIFJP0OUFErbE9ZP/k7apBHrPqFt8NBewSn6SYdTUS6G15WJTZp7CnImyb6lDZqP\nHbePbdJInFuVFNzjZEkjQrE1aKSg9wfJ9lGORfO7AGDUYdJ+5HrwZ/KdUvCyPaeqx1ItcVvxbNIc\naYmMTnoNtAIcYi1U9p/cJWjN98f75BjRByZ8P7qnYx4NfefD36H9LloYqOTBvG5/o+c0fOZHf7+T\nmPmPa3kiIxlJl3XOYcsQ5sOKnTGLHFtjsZfnMD7KdgCkCiBIspJ5KBtjMMtztJZmkgLfBGiQqjJK\nl1VssJR2MFJUTtNlQORaiJujcz6gugjWTAVwmQFKhAPQvq3zuNwOAfUlsGfrfCCZUv6ditGLDcnK\nSGHdA1hsejxzNMG9dY+TeQl4BNTWqqFoRjpBD6or3Fv3uLVfoS64VgDiujx1WOMuRwnPHNXYdLSf\nNxck/fLGosU+RyDPHtX42j1yxnzxNqk3P3c8wess+w8QYugOR1dPH9bBGROgyO2pwxrnqz6oMB/O\nKF32zFENeJrdVgxdFfTTxZqso733eHNBStcI95EUsQWxJ9IxU1bobQeCwoK/c56UBFJDrcvtgP2J\npKDoHu06YwIIBNNNR8eIsjIeudLsjMkRAsvK9NaRrIyx6K2L6VitQ50mRThKbXHV07PcDGxVzQi1\nxjjM0jb1FLm0g8e8SkVlgUVrAydIxjaJXgBx21ShHimMf0GnSWrJMGNeIr9d8IJxLoACAJoQ9kxW\nDu3hbIEg0pxPzeZoQ0lnSvQpkU0ahYl9gKwn9aE0XdbzMyeIsixT6HuHLFPjSZvHfWVl0sUnx5D5\ngXOktJz+DOfvItT5cUQy/+6nHz6S+d/+i38VyWBrSK+syjWOKuqce+swzXPc3ba4yemyo6pE7+hz\nADDe4aAiTbPTpkWmFPFr+gEHZYHzhmDPeZJvdZ6cNZ2XGToA+AB7FSKfVnGGudhQuuzGvAzpsv1p\nkRTHBcJM9ZXjvRLnq36ULhOPmMiv6YOSMKUTKM212PTBWmDB6bKDaYGnD6mzf+aoDlYAc9Y5I+n8\nZuQnM69zPHc8wWUz4HTZYcraV08f1sRx4XTZV88IwvzaeY9nGcL87pszrFqDd92YBmsABYQ6zBff\nXOHF23v4EvNnTvZKvPsmwZy/fGcTdNuAqI32zFGN1xmCvWoMnj2q8eaCLKDnkwJvLlpY57E/yZFr\nRQPhkgbCpw9pXefjgH/MdR1RuVagwX3GXj+S0pI04WA9Np0JM+nDKRFZ60IHdYiKkUjLxgQy5vG0\nxD3mysgzMxloQPSIZMzekifiZddjWuTYDgbTPMM0j4ODTHZ662C9CzWWmtNl+2WOi9bgkC20Z0UO\n60iDb92TisSmdzioKZ1WZ6TofNlZ5PxsH9ak4Nzm0U/GAWHwrnOdQJlVkMARewYZVEru7J3zUDru\na7CcLmOlhpguI1SecRFwUeYErpgkmnEtDwY0+XKYMFl6y/WYhnXoUlkZ53xIe25bgTDHQdA5sgDw\n3oc6jKTN2vYqGbOqcq7L0ACT53o0qMhgKlGSDCB5nnFdJpI4wdkVSdu9nbvnN7O8kyKkJzKS+Sd/\nfQqAZllS+D+uS2wHi4OqwKqnIn7vLHKlsR7ohZgWGVb9gL2iCPnvSx5gNsZgXnDhn09Z7HSl8J9J\n2KyigVIayUiHJH7xy4bQVYQCG0JHdzKvQuG/yDSDAaowQ+yNC5HM4azEnUWL24d1kEEXXsFgPaZc\n60kFMp33WGwGPHdCbP9b+7RvKZgvuS3ORW+UTUcEzlv7VeDvAFT4f9eNaYhOxP9lr6bC/7tukGeM\nRDIv3o5+MkLG/Nan5/ibxPjsYjvg7mWLItN44eYU99LCP0cyZ6sOz59M8ZWzLY5nBc7XPZ6/QX40\naeF/y4X/e+s+KA28xqoDHuPCPxEucW3hX1QANvcp/J+tO5zMyiuFf+fJekBmsIKou9wOVPh3hAwj\nMqZEMuwn4yLia5pTlN1yTcW6WPSWqBugqEzqLpedwUGVY9kbklMyDtOCAAT7FUG8FYDLjtB1Up+h\nwj8td9fkz9IOjlJUDHUekkhG0HakisBaelqH3wGw1AxGWnBprcbsFP69J+OxsohAhFD4H5LCf2LN\nDVDh3/udwj+uFv5TAIdznnk7MeKIApkkjJllCm1rUZY6DFTAbuHfhIHmaiQTCZgSyewCIO5X+H8c\nkcz3/dKfPPS2//w/+8AjbMmDlydykPnHf3knRDKyWEdkzPO2x0ldhiK+9T7wahynLBw8LtkZ85CR\nZXtFHgackCNWGKUGJFIBIkdGUhtp4X/LZMyjWRkIf2WusWpMKJpLuqY3LiCzhIw54/UB6rREnmZW\n5aPUTp6RyZYoDKxbAyFj5pkmJePDGmerHkWmsFdHMub5qr9S+K+u8ZM5mhVBbVkpFUzEVq0ZES03\nnWUyJkU2SpHr5XMnU7xyd4P3PrWHL765AgCczCvi7miVFP7pMatL4vjss4LAU4eUnpPCvlLAvM6x\n2A5hoBAh0LMVRTIneyXuXHYjmZjDWYnFpkc3uHC9LjbsjMmkVOepsAxQ+qfpIxlTOrWqyEKnIf2M\nkDF748IAM58UVwr/8pxa79E7Sucs+4E19CzKSKYYFf5FgkauUZVn6IxFlWe47Absl3mMfriD3/SU\nQtsMDvMyRkfGOay6KCB6PzImqUT7KOhpPUnbcGe97hJZmaRyZ5POma4jbV/lNAhGjxbi0lhPaTOA\nQBr9YFElhf9+iJGMqAYACLDyjlOfsUYqDrgcySRkzDSNJ86YfW+Q5xmaZgjs/zSSEc2z6wr/KRw5\njRxkoKH7yNdlBwKdrvf//KP/AI96+cAv//OH3vZP/sH3PcKWPHh5ItNlmdbQIOOxFMJ8r+1xXBFa\n7Lgu0VqHXClctMSdmRYZzvse8yIPKLIL1jhbDgaHVRnENoExhHmS5VxkVYmaMz34Eg3QQkgkpYif\ncjgtMFiH8xXVRojFXlKe25CB1p3LFrcPajjvMVPUWd25JLTZ0YycL586rIPO2WBphkozcGLGZ1rh\ncMbOmIPDYtHi+RtT3GXZe+891p2lDnozxBoPI3w2ncEbFy1u7Vd46qAKkcxXOVX22nmMZJZstfxV\nNix7+e4mDArveyqmxd5zi5Bl38oDzLc+PQcAnK86fOmtNYpM4cXbezhbdWGm/vpFi6cOKrxyd4N3\n3aAB6nivxFcW7chZU5wvN51FbxzeWrR47oRScK+y3bN08t573L1sA6FVIpkj1kVbNgOmbMks6tKT\nMgvQZAC4u+pwc15hEF7FDoQZoG3ONz2OpyUWSSSzHexVCLOPiuFbriWu++HaSIbqgVEmv7cOVZ5h\n0Q44rAtcdkOoxUyLDIskhbZf5Vh2hlQAOoejaY6jSUxH3d0MLKpJkQwh1GKEsmX9NuM4WuHohUiQ\nIlKp0HMNRORmgntskPp3Iziyc8RDKgsd0GTWe0zKHJ2xIRIoiygrk2fEhaJrnQchVBmQ5Zycj4PL\ntMoR1aOjvEzTkFuu1FrqOkfTUKRCAwE9kdaSKkBVZRzJCISZ67CZDu2LkczX64z5OGVl3jnpsieS\njAkwIgyRpUx/0xJQZd6PZlkhXIYg0cafh4eU/8XvUuE/P9oGO+ulRUOMWph/hwAAIABJREFU2rSL\naku2Tdb7epfr1o+ItaSNo+MnhmmhodfvexS/+qtt3D2/h227uuaz+y0JmOf679Xu3+rKF2rn92/k\nZVQ7P3f3QYitXdMqRlap8Tay6J32aEQ00+6xRute0xb5Oz2W/C5IM1ln99zVqH3j7XeRY4Ts2kVV\njUExcdvxdrvHuHK+1/xMEVtXUGxqtw0pIm33uqjRPtN2X3fM3X3Etqfkxd197Zqcpce8Snp8B40F\nj215ItNl//NfnYbfRapf/GQcyLfDe5LjAGIBNdckUFjqDMa7IJ2ugtQDI8aSM5Z0mCDLUpc+0SqT\nByi1eU7z0XlGuk2psKYUpZ1H8HaRfHbOaQAhtsnMcdf7RBYRbZR03aTQWHdkLSAwUPlOFtmP1IVy\nrXDJNaRucCEXvu3sqPPIFKW0RP5dHo8ZgxIkylOg9bohyV/zIHdjXuGtRRtSH2IfDQBnqx435hQJ\nSCH4gI3WJE1Y5RqNIMR4FnzZDCE/33CqyPkofyJIMCEPeo9AHpRoVK5LWluQpTd0ndJOQaKk9JrK\nIvsXSwbhsZB/TDQtM5w+k9SR5TqKx3hQkQlCOiiLDQB43XQ/MpDIeUvhPNMaNtlOrJ075sloBRgf\nbZPJfjmmy4jnE/kyUl8hpYzoBEptjOukBMWAONvJAkgEEO4P14hSZWeTRAOSehKVDrlOabvkOJJG\nk+0icz9Fho3RYXJvY/2EeDNu5z6P7tE1E8krE08//v0v/uG/j0e9/L3/9vMPve0f/cz3PsKWPHh5\nItNlorxc53lgQzdMZjtrWtya1DhrmYzpfGD398yUHpzDouuhlcKNSbQFuOg6HFUVDSY88EiRtWON\nNHmJqyyS8rwn1Ir4Ymw6gqLemle4tyHCX10S1FikVyTN0g4OR7MCZ4Iu45RYzdphZ+sBt/ZJvTkV\nyAQQpP6l4H/JLGZMC8zrHK+db/HM0SQQL+c1uSgeTHKcM1ggrcmIiGRqWnYyLylldmMKKOD1e02w\nDHjmqMarZ1u8cHOGVWNwMMnxpbfW+NeenkMpUnB+901CnKXoMmN9SP99+c4azhG6zAO4uU+umDfm\nMR232BAiThw391n+xjpyCs20wsGkCOCEZ47qYCsg4Ay5ht3gcDgjMubFmuwTRBvNebD+G4KcjOYO\nZ59rLfUOGVMpFUiwrXG4Oa9wuiKQgIZCpn0YcLwHlBYRTItcZWhMj0JrbAyhyzKlQ+csnWJrHaxz\nwbSsYrjzXpHjvOlxVEcXWLEMkBTaqrc4nhRhotIai2VrQ0dP6DLxcmGeURLhA8BgAadFFJTWbXo7\n6pAVp5KNDFScBhp4gK0LqiNJh52pSMYUwmVZaHQMwgDoHRQBTIH2y3tBYqVZqH/u1mRmVR5IoyIT\nkxbiBV1GtRhSWK7rHNvtEGDMQt7MMhVSZn3vUBQ67DPdLxAHSvo9GQivFch0QTngUS+PM11mjMHP\n/dzP4fXXX8cwDPjYxz6GH/iBq0Znn/zkJ3F4eIiPf/zjb7u/J3KQybWi2gjiiyBRifwUi+YUBaKT\ndQqtw9+50tBQcRtEgl263xDJgENfRDKYDv8Ui/rRvopMX+HR5JmGUj7oQck55VrBZxFMoBR97xH3\nkyf7k4EtXBd2bhTRxTKXbRQ7Y2oUmWP9KR2itoL/9p7tcnMd1IsV6DMRliwy+l72XfAx5TzEYlch\nnptESuHvxHisYOFOWUTuXavIkZCIJ/27yDUyzvmLEnaZ65DWK/N4PhSJInFEVXxvVOCgZFohQ0xf\nSHsDORJRx0vuZbifWoXJhgLVUBSHI6PUIHfE3vMMXXk+Pj+vQuxjEqTELaRnpoNGWM7PrwJZMwuf\nR4V3gxBpmdaoMopqYls1ytxHMEt4jj3/TQOZBiClfYqGPWzy/a7NsiyZpLG0PJMKyiEMLMjkXYqQ\nX3nWaODRSEmL1O5xClLSdUrx/hUgQpXOeygn7UbS+dM6aVRO7WQQgrSBBxU5p0jgVKP1077Fy3VU\nyX1Wsj7COjTAJak+PY6MH+XyONNwv//7v4+joyN8+tOfxuXlJT784Q9fGWR++7d/G1/84hfx3d/9\n3Q/c3xM5yNBgQDDM3looqIDnnxcFzWRYZZnCf3rqcqVDNDMrSHHZOlLNtbKNhOfJ4OWBEKUANBuV\nFJSso9J0FfuQSDonz6jIP+E0k/iUyMDRDqRBlmmF0umA+sq0IkQZF/hl/dRdcFrlIV02LbPw4onq\ncW8c9ll6JdMUzQCUohKujwgfrthvRjggAEVlh9MC2578ZQ5nBSZFhlwTsu1wVmDN5MzLxuCQEXUA\ncDSjtNfRrOCfBEw4nhW4u+xQZARskDZ5IPCCKOqj6IEiLOIDKaVQFTqkJWc8I71sKKLzQEDQSdrL\ne/ZgKXQYtB1HkgUPPIIqE+XkPFOYqCykeXq+f0op5FlMjXiQErbimflgyS46FY8UfxR6FkWuRVJo\nNCgTF8tzJBDljACg5OjH65hqqjN63qdFDvGqIVVnDeNcgOjrEbKMgAZ7ZUSxGbYRIBkZ+oxIpExE\ntJKSQkJAjaleGZjkuokOWa44ws81Mj534dLIIhB68YxJJxZy3WWyQJ165KZUhSiZ75AxMU6Z1bye\nS1Jq8jeAYAlQcNuKIqpAy4ASrQGAPJdCfvy5m3rbHXyAqMKcwrglsnkcy+OMZH7wB38QH/oQwa6d\nc8jz8TDx53/+5/iLv/gL/MiP/AhefvnlB+7viSz8y830PuaA5V4Ftr4fF+KBsWtfKgku21gfJWmu\nP5787Uf73t1CajLye7qf9HsK7WkGGiCRyfpKiSNnLOK7nfOia3D1uEoh2TYBNYQ2gNMk8YXUvI10\nGC75LKRK+GUNXAhOjwA0i01hn9GvfmyrK9EEmb0h2uNyJLjLL1CIkiRS70nz6EoprsP5UD9L77FH\nfOm8j8XikOZRSSFdotWdlzRMMJJ7o9S4yE7rqfB9Gt2Gn0isgpXIvsi+1XjdJEJWyTnIISXKDtE1\nxgVunayffp4uch4yicp0jNLkd7pX9LtEben5ja8bwvlJ5Kb559Xjxmso9yTd75Ui/31AArK/9Nqk\nk8Cr55xGJGPZmN2iPpB+jis/5fur+xvLz1z97GpU9SiX8bG/sX8PWiaTCabTKdbrNX76p38aP/Mz\nPxO+Oz09xa/8yq/gk5/85Nc9gD6RkUy6SLGR9Me4I+XP/TUDxtvtJ/zu08/jz5jAuGb7pNO/33ff\n6LKLQJPP/M4ru9uu3eP5a36/9rMHtHP3a79zodL97D6sMhi+3SGufeF2GjVa5ZrB4H73Z/dztbuv\nr3NRyUlcdy7yfXqu6TbqbS7C7ndhArWzgVaA57RbOujd7waGa+QlEkrABQD8Q1yH3fZ8PUhcWe9B\nyCqJJNLfdz9DAgrwHlfWBZD8nsjc3Oc491uuW2cXJZd+ffXvtz/GYxpjHvvy5ptv4qd+6qfw4z/+\n4/j7fz+qSP/BH/wBFosFfvInfxKnp6foug7vec978OEPf/i++3oiBxkPH94M7xErlbj6QoZ1wJEA\nKKJxABT/TNe77nlw8MiSiEmp8aATX4L40NCsOj5BYd1km/AvfDZub9ouenivG3R21/U728T13+5h\n3x10xtvhyrnttu/K/u7Xke4cL71+91t2v/q6BxaZbfr07/t1xAgDpUoiB5V+ec3+Q8d3Tbvu15a0\n5qeSCYOHT7hYSUTLfyegplF0EmfvHAkAge2vkvXTaEwGJR+2BZySGqOnfSg+LqjNFiw0CcTveQ8u\n6czlWsXUs5z7OPqTASeNTGJkRPuWupF8L+/J7qAT2oGdwYgjW0HcyXWSwUklxwvHUHKVYrvCnRjd\nYhnUeL/c+Ig+k32Ophz804ftH8dyXdT6qJazszP8xE/8BD75yU/ie77ne0bfffSjH8VHP/pRAMDv\n/d7v4ZVXXnnbAQZ4QgeZraH6wCTPAky5NQZVlmHRDbg50bjoBhyxTpk4X0Z0mcei61m7LEr9L7oe\nRzWhggC6UR1L07TOhlSHBxHrjE0lZSSNQHWMwRG6bLEdMK/yIGQplszGRe2ygynJplRcECfEE+XS\nL7c9bu5XOF+Rzlbb26DLVHDtheoPPkCIM011IWHM31v1wWVz05kg6Z86Y87qPNRVBF3mvWf2fIPn\nTiZQAN647LA/JcuApw9rvHFBsjNLdtD88p013svaZYIO+/KdDd5ze4bXL0h7zHkEMugbF83o3t7c\nr/DmosXNeYmvnJKagAiIvnx3A6UUm66R1L+xBP+eTwq8dk6IsmePJ/jq6RbORzvl2wc1LpcdWrZW\nUIrQeHKttx1JvwiyqR0so8uohiN1oUmZwViq2ci9D/bLg8ONOWnTneyVUD4WyCV1lzOCy4Fy/NuB\n7sN6MJjmOQotUjaK9c48WjbtksGYpP4N5mWOs6bHcV0GdNngHAqtseoHlCwIe1yXQaCytw6XnQmd\n0GGdQzkP512YlGguglvn4TMV6jGFVjDcJ677OD2TdqXIKoE0GxbWFDh7qpYglswBXZZnwQUWoM65\nH0geRgiwdUHov3VrUJcZGibWBrgx12xkH9vBkLAnfy5p2LrM4BWwbQxrk5FXTNeZoE1mLSkDZJkO\nkjJ9b1EUxPhPjcjSwTKFaUu7xL45RZ5FPbNHvzzOCOkzn/kMlsslfu3Xfg2/+qu/CqUUfviHfxhN\n0+AjH/nIN7y/b4onc35+jh/6oR/Cb/7mbyLLMvzsz/4stNZ43/veh0996lMAgN/5nd/B5z73ORRF\ngY997GP4/u///gfu9x//5R0AIn9BD/skz4LRUsYDgSgDpDwZGWhGsxhEnozoKMksLGdIacyhC7ps\nbL8MMGoMCVw1+XwwLkA2pRgtfJmejaoij4Z4MrJ/0SyT9Xefy+t4MpvOomDVYUGhjaIILxpc1B6t\nVLBKHowL2246u4NgUyhzzR4jZJ5mPYK6c6ZVuA+zKgte7DKzBqjDvrvsWGCSLJhlOV31ePqwxumy\nw6QkiOrxXomzFQmNAlT0bdilUnTD7m36oGcmbqPO00DsPYLeWyqdQixy4smknCTZLrVCTrlDsqS8\nGKVUUCJWKrLaHW8rhXzjqO7Xs1SM9VRMl8L9wIOBWDPL8ykEY1k8fFDjljpUysURBJdhrTQFkoqp\nMh34NR50Xaz36G0EHYicjEM0LTOWVAqkEw+2zMkz6H3ULKNHbNxmt/M3DYzxXqTRyXW9DgEPrvJk\n0kFc1pMMgfwt90K2szvHSbkz6f5lMJABdFdlOt3HlfNN9peus9v2P//UVfjvN7v8h7/2fz70tv/T\nf/pvP8KWPHh56MK/MQaf+tSnUNck//ELv/AL+PjHP47PfvazcM7hD//wD3F2doaXXnoJn/vc5/Ab\nv/Eb+OVf/mUMw/CAPRMnpuVOo8o0qoxQY7lWbKlMmlDOebTWIuMBwjgfBphlP2DZ04xuwwKay34I\nAwzAA46nCojItg/OsYtgdAoc+KdIjWw6i8t2CC6MPXfa69agTPTBerYDrgvSNdt2NqxPgwrZMoue\nV29c+CmKtmItnGmKaradCfpniw1pll1uByy3FD0tmwHwHhcbsi++2PS43A7oWEONhDIHLBuDy4Zk\n6++tyVVSjNc2HdkCTMoM56wy3Q4O+8y/OWT7ZVF8Plt12J8QF+hsRbbON+ZV+G7FttOr1uAmS+/c\nZF7LjXkVXEXPVj3O2VTtbNXhfN3jsjHY9hSdnK/p+8MZRWr31mQTfcEW0WTbTPpuuabrIqTXli2U\nBVY+sFvotqP7MuF7kNovS/Qq68n9lXtSMtS7KnSYJJQ5Pa91lqHmiVGuVXhO64yi8yrTnEojXbPG\nWGyNQWNtiG4KrbEZTLCcKLQK8jWNsWwzYJHzbEcGmHVvsRks65tplFmGMlOoMo1CK5Q5/Su0Coi8\nnL+vMo0yJ8CGTVK+uY6IMwAhcjDOsX2CZ6tkGwY2er+ArrdBFLMdbFIUJ55NZywGtjbPtUaudZD3\n6QbaP70Tln+3AaTQDRbdQJ93g2UbddpPpqLtskjFDIOFtS78EyXmVLNM66jCbG20aQZ4gsG/p1GK\ntS4MQjHd9/gijhQ08o3++9teHjpd9ou/+Iv40R/9UXzmM5+B9x5/9Vd/he/6ru8CAHzwgx/E5z//\neWit8f73vx95nmNvbw8vvPACvvCFL+A7vuM73nbfInjZs8KtVsC8KCg1wL4yh1XJkE0dyJulJkHB\naZ7joCqgQAPMXkmqw0dVic45eIY8e0/H6pxDxTwGDRWw7wE7n9wYDxJw9CC2/MGUJN9XDYkmLpsB\n+5Mi1EhmFWmJiccMkMF5jFSYF5sehzNSTRZPEwCB0CkRxIyhtM57nK6IxLlsTPCqEVfIpre4MS9H\n15T00lqc7JWYstaZUgp3lx2ePiI7ZAB46qBGZxyTG3s8y2TPeZ3jzUVL3jH3GihFaavXL1o8fzLF\nGxek2AxQ2vKrZ1uUucYLN2fYdia04yunWzx1WOMrp+Sq+fLdDU72ypB6Ayi6ev5kyox0SiWRGOcE\n8MCr51s8ezQZ1cHEvmBakteL8x435hWc99i0BlOOkiRCmpRZILl6T1bah7MSxroQyXXccaTrLZsB\nh7OS9NEcTT5E2bvQOghjigpzrlUgEm95YJBIptSiXRYhxwBtO80zrAeDg7LA1hgUWmNrHaosC1po\nHkBRamx5IBIvpcO6CLP6ZUdeN+0QYdakRkDRQWvcSJlZGP+ZIvhAsCMwAv3Woxl/kWkUGT2rYpUs\nUUdvKNqeVjmEgDqr8rGfTBI9eo/wrNRFhnawmHAkm0YR4idDkW4eUo0SMVnng4VAVWYYjEvk/KOu\nm+w39ZMpiiykucT8LA4ePpAud71l8lyPhDNTFebHsTxOCPOjXh5qkPnd3/1dnJyc4Hu/93vx67/+\n6wAITy3LbDbDer3GZrPBfD4Pn0+nU6xWqwfunwYWhVJr7Jc5FBR65gacNi1uTCqcNR0Oq5JsmRmH\nb5zHXlnAOY9ztl8+rAosWMn2rO1wWBVQKvWT8ai0hvEOyis4TqdVOuMZkYJhspnygAZxNnrrcGOv\nCkq/e2wZvD+hn2lNZv+amox0XOerjus4PaZVHnLR8gIvG0pxeQ+sGgOlKB11Y17irUuS+T9jxv+s\nIvXieZ3jLotqhppMlePWfoVNZ7FZ90HC5ca8YhvkCZQCXr8gxr/YArx6vsVzJ1M0vcVThzW+ynUU\npUix+dnjSaitvHKXLABO9sowYLxyl/1k+MWWGszzJ9PgR3O+6vDum2QbAND5ffWsg3Ueh7MCuVZ4\n/mQSGP/PnUzx1bMtUp7FU5yCS2syp0tSURAlhbQm0w021FqcJz+ay+2ACdcW8oxm+QBNCDKeVZ/M\nyRvoiP2AvAeqgdpAEwuaRIjUySLxk5kVzBeSlAr/pJpMTHvVPJDMi4IFXgt6nvIcg3OYFzmW/YAy\n09gai4OSBpWyytBbi2VnQme3X+UsBOvY6wbhXTHOY2o1DKd0BUIOAMvW8mBDyM6qiHWcPFeBXzNw\ndE+Mfxc6aKob5jDOoelp4CiLDE1HA4cUyNtEWcAm90f8ZALjn/sGGUxEsWLTUk1GpP4lJT1lK4SG\nRTa3rdgvD4GFL2ZjZUmimFWVwxgbBgxAIhQBDCjkuQpKAdQevp6J/bL3fqTo/Hd9eehBRimFz3/+\n8/jCF76AT3ziE7i4uAjfbzYb7O/vY29vD+v1+srnD1oKJkN6UC5Z8WeDc9gr+YXjFzZTelSr6a1F\noTVLeFAKbZqTtMaMSUWBq+KjJlRakymgRzUQeU6k7jEpMlRsAjWrstCZCxlTyJrCmu8Gi1mVM8tc\nc02GUjd7dY5ucJhWOTHQeX/yEk55n1opJgsiECX3JzSLmzPxUvanFEmzSDFV2P+bjkifRJBjQMVA\n0VjPaYXDWYm6iITRo1nJ9gMam9bgaK/EqjVM3CyxagyOZwU2nQ0RlRTRi1zjaK/Efi2F3ugSuthS\n8fx81eFkTqmzkz1Sr57XeSAsHkxIIubeZgj7F78c8MwaIDLmXp2jKuTZoXYIqW9WZQkPiSIZ0Srz\n3MnOmdRa5uNawHxSQCugLmiWvM9ADFFptsmsVn53nkjCork3L/NQ6wj1Qe7spkrB+yzA9eUeW+9x\nUBbhnSBSJ+1vvyx4PdqHOKpO8izwWIS35Li2IpEMRTHgd4F+psoH3pNzaFoHkRpNICnmNPgUSR0x\n0xms02GW7RxNlHSVgGcqFThV3pPaspy3OFwC4HeICvw2acduRDOt8jCgizab3AMAqNkErZJ6X5Un\n0YkO6a+SNfKEvJnaT+/WZrT24fNI7MySdSVV9vgGmHdQIPNwNZnPfvazeOmll/DSSy/h277t2/Dp\nT38aH/jAB/Cnf/qnAIA//uM/xvvf/35853d+J/7sz/4Mfd9jtVrh5Zdfxvve974H7r/lHLXzlIfO\nNUUyCgqXHaV1LvsB1jt0NvpeDM4h50Fn2Rsse6r/iKnZchi4MEuLUsTQpm0pD95bh8Ya9M6hNQ7G\nOnQsFil541VnsGgHKACX7RDY++vWIM801p3BsjVoB4dNZ1HmGst2wKajugTVCagzWTYGRU61mW6g\nmkw3kJsg1X9Mgmoz2HQ2sNtFU+tySzWW3rjgZbPgOs1iQz/bIdYdFtsBy4b+VbnGxWZAzhIsi02P\ndWv4M42LDSHXRFPt3pq02mZ1HlxBz9c9JoXG+arHOddk9qcF1XRWHS6bAZfNgMV2CEX+/QnZTh/N\nylCbOV/3oRZzvqZ9na9pf8ezIuz/cEo1mXOuy0hNadOZoEagFNVkmt4iU2R+tulsmDx0A1kArFuq\ntdRFxteeUGeDpdmzVmQPsG4Nls2AgutoIrkjdRmRv8lZ6DTXKlh7a6WwHUiIVKRuRBrIe4/OUj1m\nPZC1hXGeay0aq8GE2qGgy7RS2BiKpjfhe5mIeax63tdAabZCi1RN1BQruDZV5gq5IpJmkalQn4n+\nMgiAASHXAhR1UP3KB0vrWD+xMCJ173yom5ANdHxflaKUWjdQvaXn90JrhY7N1NrBck3HUl2tt1zX\nASP+6O+mM3wcqmdqvhe9sVyToTTlMEg9JtZatFYhErE20hWc8zDGhvXiYBORgKE2ZWJNRuT9d4EG\nj3JR38R/f9vLI4Mwf+ITn8DP//zPYxgGvPjii/jQhz4EpRQ++tGP4sd+7MfgvcfHP/5xlGX5wH1J\njjrUZADMOTd9UldorcVJHWsyW8N53CzDZd9jmuc4Zj+ZrbGYlwU6Y3FclZRnx7gm01jHnh7UmReK\nji+1IdFrkpD5cEKzy6a3OJ6WcD5KnayaAQeT6GBZ5ZTCOpnF805rMpIqk5rMwbS4UpNZtwRgEB8b\ngNSMb+1XWLUGJ3MSoJSaTDtY3NypyXRSk5lX2KtzegGUwtmqxzNHNS7YvfL2AQlb3tqnQeSZownO\n1z32qgxvXXZ47mSC1xmW/OzxBG+yr82dyy5YOA/W41Wuybz71gzbxADr5bsbPH1Y47VzquG8cko1\nmS/fIZFNgWq/eGtG6Q52xhQxTu+BV043eOHGdFSTeWvRYq/OMa9zrBj2evughnEeq5acNhVDYz2n\nW072yjCTP+OIyrAApeHOUVJp8rxcbgeczKswmFtHdQ3no5+M9YLUcuH5nBU5NoMJg4Tz0WyvTmQ7\nvKc01h6nxI6rEhtjgi/NJM+Cy6sH7YPAATqY892YxPO67IfQRom2CEkGLsT78NngRLFBIhT6XYQ5\nZdInRX3Aoyo0KmhOUWXwXgc5mnawqHKNWV2EDpj8klyIKEXuR67vtjNwoEiz6W0QwhxFMPBoOhLW\n3KvHNR5R1Wi4JjMp6XgTtuCe1PkoQvOenDHJ0MygLPOANtNaIcvGNSHH/jpUn4kpMoE9K0XRnjGx\ndvM4lv8vCvgPu3zTg8xv/dZvhd9feumlK99/5CMfeShs9f0W4fn7b+DepUoB2Nn2fvuRLLCXN3P0\n3dsf57rv5TiUKvFXtnlQe0brc3t2V90tBkonvPv9dce47plV441HRLlRA6RJHlfZ5cl5p21I932V\nwY3QTiJMXmVyjxoecubxe+XphVdhm5RQ6ZN1k2121t29LnKMuJ4afZb+rj0RB+lvlWyvAqM/nVVq\n0POZMtijdIsQNlVoE0GDVWxH8jkw7oQIVcTQfd6n9h5OEXlVq9h2DSJr0nZE0AzX3Ce/Q0iStMRp\nxLgNcr4jEiWEBBrPSSSSqG1jmReNKN4JgNPctM94D8ftS+8l7vN7fCeT66jut12ENo+Jnenn8X1W\napxye9TL/+8L/497kZtWaA3k8aUuswyDI1SOkNKUQoCDakVENvGVUYqEBmWWaZ1jx7945zOlkCN2\nFqIXlavIQZEXJfUkcY5mcYMlBJEI9clP4WhY5zEpCERAWmA0S5yUVBsx1jMB0IX1AwGUuRx1QbUY\n5+laFJnGtKIC9YTRM1JnEYvh3npkCgHhVOU61I8641ByeDbjovisygBF9aOqoDrQrMqx7W2wbhay\npwhetoPFfFKEz9aMDDqYFNifFChyjWVrgp+MEC2rIuPtqB40r3N2sOTtpwQ8kMhOlXQ+a/Zt35/Q\nsZwnlWIPYM7R48ACpTRLp7TirMoD6VLES4U/I53EHs9wBUhQ5irwnYRPY6xjwVIXagYiAhmeWadD\nNCIppUlOz9ckz1C4yJnJko5CZJOUIiix9VRLlDqLPN+ZUpjksb5inMcky5IBjKIO6YSmOZ1vpqKV\nwJD5UMfMuQlD5oOIpvdgh8+ovq0V4LQKvBcAUDK7B0U4ad1HKyJfSo0EiERJUc5OayvC3xGRTe/J\nYllqX2kU431U7pa0FkVPUfcu7ofeF4lQpf4q9SetFQoGeEg9Jk/2HfsjQZuOB5t0oEkHFfkszx/P\nYPAOGmOeUIFMIOSq170JlsmNsez9YsNAIp9vDaUi1oNFx6iwXGlWDyCeglYKnbHorA3chIFTcoZT\nH7LPYD7FvhLEbI7GT3mm0PTUDuc9tuwXv+1j3l/yvavOBInzXIsG3BWJAAAgAElEQVQdMvE28oy+\nz7hIr7mAK2ZYWtE+G1ZJVopSX0JI3LB5mVKE1FGglAN9RgOPUsRWXzUmED8ltbBiM7BVa7BqKIXX\nDbTPZTNgWmZYcm1j2QyYVYSeu9wOqIoMl9shoNoCkmuwYZ19Tvetef+LDe1rwdyWxYZqNYKKm9c5\nLtiX53BWYttb+n7Th/0vNrTu/oR8eSbcDunANp3BurOYFDpYT8vAL3UtIs9GgIfUWXpOfXWG/Ga2\nTDalTpPAD2WusWXOEh3LYNUZNL3FJqmHrHqyaG4MzfMbY7EZDLbGYGvoOe0Y4prxBEcD7G1EKgFF\nFjkxrSWodGNsqMPkWqGx5G+05fek0Bq5ojrM1jBnZnDY9PLTYZ382w4OW/7Z8Hoy2EhKsLNEMDUu\nptUkqM4UEy8RwTLOU71FBqpgDqiJfGx4fyqZvGWabJ57BsV0xobaiohUEo+G9iGGeWkdLAy0gx1Z\naWtNCtoj0VGOZoaBrvfAHJ6U6Q+MI21BmxG5U36PZE7P182wvbkRCYW/w8sTGcnILEOkxxU/xIKU\nMTxzsd5D+ViMdJwHd17zTJEJZfABoSL7AWgwk/x5noTyzL9G5lnOPMzcaCN5KYz3AbFkPD1wYjsg\n7VHhu5g3Ig94h9zFmTIQcfvCZpb8suPpoaQJVTK7Cw6GiIrL8o+mVSruR86dfyofXQdTKXUb9ofR\ntpFNH3+mDHtZpGPKktqSTL1kG5l5WhfPUTou4Z/IQC1/yzVKZfKFxyHq0QpxdquUCvyM9LuULS5L\nnLWm94FnsXxdRgis0BZKrbr0n/cjuLBnArDfua67rUhnpzr5KWulx1aSJkxSbrKeSCPtLl4uwtss\nYYavYnr57ZaoocWzfY5srqTMQOm5XAMpHVsl26dLTDHSiabpP5ecxDjNRxSD9PvYjmR/4RwphRjS\nnDvhQZo+owE1ZjzkvUrXG90/LZHO4xlkHqd22aNenshBBqCLWGYRDplxGmFwDnWeBfIbQCkxgGZ1\n0yIPcE/vgUmWBadLgpTqUYdIEQ9Ls6go1644NSE6TECURQ/6SUUWLGZn7PsxK/LwvcjE7JdF6DRl\n/b0yp5SN85hXeexU/XhmByBAl0M6pdDY85S2mbG3idYKFafVpmUWIi7R/qqKDHs1pYMGlpoBKM0k\n3B2AivbiDrlX5wEaLOmhpqcUmQIVi/cnlFLbn5CaAADsVUR0lKgiBSwYbrNxdNzDWYGDSQFjqVir\nlMLBlFJwzvlAkDTOBwmUg2kxSpfJZ8Lkl9RXbxz55tR5gGynabGgQeUJBg4QdBcqWmXLoKYUzYT3\n6jxAoh0P0qUR4zQVBk3raPLiPaAL6oT2yhyDk8kPAlNf+j0ZGMQNdq8g+O4sz3kWr5BpjRm/tuSV\nQ8RNSacVOkL60330TCwVKRrrKPVU8DM2uAjHlvPKFEbPvgzuKdQZAN+HaIUuRM5pmYXUILWXro/I\n96TvoaSXRLeP7kU2Oo5s471HxZBj+d75iPjCzn7KIiOYcr4DT/aUsiwKgn0XBSEEVaGvHHeXoC2w\nZTocv6+sNkLnw+dcPJ5k0TtojHkyBxmJMOQ6UqGUFsmpyk9ZQjEOCLpPWmEE/xQJmdGxwoNKaH0P\nwClSZZYX3yOZ0SA+6JKyEMdFy1FXjACip3k6488Qi5MiX2Kdh2KDJJVM22JBlI6luMGpDprzNH2U\nz6TW45PjiuCjdCCpmoGw3MHtyWU/CqMBSXTLhC8k9R7jyBitN4LaywJvxyT1AQVx9Yy8DnGOzDP6\nW8FDlVmSpqS0VsGGYXQuOiCKDHMRglmZZ26Gj7pcohEGT23XPCu13iPjSEeujUi4CD/Ke4bw7qyX\naRXEwaOLJG8rHY2nlG6OiFL0MmsGRjWZUGDnZ40MwnRIMdG2lE7LR88H1Q8BwGuJw12IxzN+zpwm\nIUxK2RLMQHmFIkt0weSZ8FfBMU7FGlKmVIiK5PnKNPFvZFEKyOS94X2JG2dInakYdWseeOWd9sm1\nvm4Rs8Hr/KGAuJ/gmYT4fkj75J5lyQCi0m0D+Oe6iCtVbPZhHZkMprWbx7G8kwr/T2RNZjsY5sl4\ntqZVaDmvfa8hdd5FO4R6CiA1HKphEE9mwKof4EG8Ae+By464NaJ+C1CBk0iflPPurMV2IO20xhp0\nlo7RWYeBFWcvux7nDfF1Fm1PuWGlcNlRXn/ZDrhoe3SDDfWYRTtQfYHXl47iou2RZyrwbdadQcfK\ntcZ5bDsbHvpNSzUAEtzUgRNyuR2CVtqqIW2zy+2AVWOw2NDPtic46bYjnsyqoX9FprHYDCGXvdj0\n2HTEk8m0wsWmR848mSrXuGBOzKTMcLHuURXEnSkyHTgrlw3VTKqcuDNyrCVL79xjteOzFdVZ7m0G\nHE6j9hlxZDqcrTqcrvrIo2GezI094tac8d/nqx51mWHZULvl5b7gc9GaOEyr1oQaQNNbLJlfJLWn\nVUN8og1fS89ZviVfy8st8Yout0MY+CrhyWRiVx0ttIssAlA2gwnRea50iMIBhJriZoj1R+K4KCz7\nAbmilLDUIUXVubcW62GgmTkihHrVE99mPVjmyfA/scnWKvBnyoQbU/G/kts9OEkBR1M7SSemtZrt\nQOu1hmo6IsYpk5Kmd2h6x/I29L5K4TxwZAzx0cQ6vGfVj455MfJOiE6Z2I7L900fdc16Y8M9kHdT\n6ju9saHtA4uYZlzjyTkKVEBI4Vrrg8ZZyo2RRVJmIh8zlpt5PKkyun4P/+9ve/mmVJgf1/Lf/4uv\nEd/C+UBi2y9z9JZSZZ0liRlB6MgAVLNEes0WAVrRCzzNc/TOcbpt7E5JuH8mfSrNhUy6E5ICkM9l\nYJA0VsvoLu89Nr3Ffp1jyRbHAL2MWissmh6HE+JayAO8bA3qnDvr7YAj1kCTOoREP0VGKaeU8S/E\nz6NZGdJRAAJyq2PipTzs8t2qMSTTwgg7BQTb5MstCY8eTguybM514O9crMmGYNUQR+Rs2UEp4qHc\nXbK0DQ8ESlEa7XTZocw1bu1XIwLe+brH7QPSSnvmqMbr9xoc75FUyws3SYpm3cZzagciwJ6verz3\nqT0AwBffXOHdN2dIJt/42r0GB9MCWhFgwTofziWk7IDAoZlVGakF8LNwl0U7e0Od+GCjrbJo1cGT\n8OjhrAhWBCKo6RGjM0GVGU8IyNY67OU51oYGhqBdxnywKvGC9x4BOXnZ95iXBda9IY09a1HnebAB\nkMd4zdplDUvRyCwdABZ9HwAt1lHEITplANAaKtin2mWS6pW2AAjkTOHP7FpID9aHiEBqVdvBoc6j\n+oA8j31AsUWrBtqOOE0Apcqa3ga0n/Xjjr3pLSM8KRXmENUCrPPYdiSUWvCAlWmFtrcjVBoQddCq\nghTFqwQJmi5pvVCu765qc1Re9iEV65zD5//zD+JRL//Rf/fnD73t5/6Tf+MRtuTByxOZLgMiwsz5\nGG45jIug3vsrn7lk+7AfxKJyOqY6TmlRkZf5AV7BJc+XpAVkBpfOBAhOyQ8Wh8xpwVXOYXRcSTUg\nKTInnBz6mzaW3z01a7yNR3KktL1+/H2a9khOSs5rdK3keOHE48/r+DzXzU/Sdvnk37UTqJ3Nd3f3\ndtOfNN0R+Rfx/kSIafxOvpS2KFAKCsnfuzyeUbuT7dM0UNoGgM28lA+F+d10gTBk5HNKn8kBk0I0\npD4o6VXal+bvvBTbr7m4aft3eR2yD1qo3WmBPE1B6XAFIp9G2iQ/Zfs0zaSTz2jfMcUthm0uuTbC\nEdrlrAR+T3JugX8k0ZUibo3n6CG11xbgQfovPW/wMxQ4SeHaj5dgjKYiGEHWlX4hfSbjvt45aa3H\ntTyRg8ymp+ilyjQOZUZrHepM4866x61ZgbubHkeTAgNHKADNduZFDuM9zpoOmVI4qktcdAP2ywLn\nbYeDqgwPbKk1jGeDMk+hcaYUvPModYbGWzYvM5z3pujoXttjcA5PzyY43XY4KAvslTnOmw7Hkwrn\n2x7Gk+5UaywOJwVONx1HYRb7ZRGinbubFjdnNU43HfbLAsvWYCp4fYYRCy9l2QzQSmF/WuBwVuB0\n2QWJfOHeiFHX2WoskCkM921vg/igBxXM32TzMwXgzmXHMGFSEnj9osXTh6TMfLJX4mvnW3zLCTH7\n31y0zN7f4luOJ3j1jEzFjvZKPHNUwwP4yukGN1iRACCVgMVmwO2DKL65bAY8dzLBK6dkWrY/yXHn\nzgbOE08mzzTec2uGL75J4qrf+vQcf/36Et5HvsTzJxO8ddmh6S1u7lfQCnjtfIuDKXF21i2loQS0\nsO0tFpsuFLRvH9Q4W5HHTce1LoocFU5ZgLQdHJ46rPHWosXtgyrMxkVcMmWdG5alWXUDZkWO1WAw\nL3KgiBGIIB8FQi/1t2lObP+DqsBp0+FGXbFuH0Xz85JEX0utsTEmqF/UVYaWBTKp+A4clmR41rss\nogLzGG3NCorujfOYlRGtuGDOknScAkaw3nMths5B0mCTQmM7OOaNUTZgVmr0xmPNtbGK9e/2qliU\n3/apFw/ZUUhEUxeUwvR+XB9xzmMm78R2CGALGWCc96wUQArcE06FTqoc63ZAzrUu8vTRQV1gUubo\njEXBStOCSE3JlpmO/CoRyxRZmizh4BHr/zGalj2WvT6e5YlMl/3W//UaAOKDbBhxdDTJKR1Q5tgO\nFrOCiJm5Jl0ogNJlIndescEYSf0XnDajTt4jFufJ88OhzDJkPEOUtJh400j+XMifBQ9qS3bcdN7j\nshtwPClxr+lxPClD+Ky1wum2w61pFdI7xnpctD3qPMO8ynG66XBzVoVCvuW8sHGeagAt5eUlhaQU\npctuzMug0gwgGG+1gwtmX9JJENmRtMNErl0p4GIz4Ma8xL11D6UUjvfKkD64YDHLsxUNPMvG4PZB\nhbcWLZRSeOqwxt1LGmjuXHZ46rDmdljc5XTZ04d1QJ0BJJB566DCvTXZCLzG6bJ76x4vsHLzmsmd\nWimsOwNjPc5WHd57ew9KAV96a41vf3Y/dOYAyf8fzUoUmcL5uofzwM15iWYgPbd9FtpcNiZ0UnUR\nkYZvXjR4+mgSzOR64wL44GhWhOL03SWlBc9WXQBR9MYxUksndQxWJ2aJ//0ix3Iw6IwN4pfi6Fox\nmVKWzlqUOsNF1+GoqrDoelR5hpblaVa9wVFVwvhYC8y1CorMAq4AgLO2S/hfUep/N11mvUdnIixe\nBDJlvZ5TaWWuQtqNQAeK2+wCcVOuy6Z3mDJiSyRqMg00YpTmgGlAmtFxlpzO3KuIuzUpadCRgj1A\nz/O6o8FnWpEMjLzPklrbtFSvlPSxpJ0rJmnKYh2l3qZVjm1ngshthDzHY0p69Lp0meiehf3aqIX2\nJ//g+670cd/s8qO/9X8/9Lb/w3/8rz/Cljx4eSIjmSgDI+kyHx4gIOZnBcEVMzvXpMTCepLWGnNC\niNPA64jcBeemaAYVZ1HkZw7kPnIw0vXStsn+JT8b2icINuDK+YzOn1Mwabosrpacj49t8Mn28rdk\ndWQ/8q6G/abtlTwb7zCFqjo/Ppbk85xP98956CTTJtcYEIRc5PL45Jgpd8Ul55J2HrHN8VgeiW7V\n7jXkRoyuhY+z3tDIpCdxPvKi7seniatLyjY+d3SsyIRPb23kxqjRMwPEtFSaqrofsipdND9P91vk\nuji5tWrcpt1jueu+fMASUmZQ90V7fb3L7jkTMizSCK5rXyo9s7vs8kkkbXp9qveba/vf5vKYAqTH\nsjyRg4wsmVLMTWGoIXdgAl+UB0gKjrKOdGYiw+ERoamakslh0YoIYiIdE3PIAsOMuecUcuq9WDfT\negXPHgUsIIV1gD5zoVOkB6RglE+6TZCnCKE57aHQalSIFFdA7xGk7tP15Sd1qgyXZTSODnlr2lfO\nvCFhaqfbiwSPsKll3SIp1orUe3BN5PWLTLN8SIz8lAIjsViJAAgOoQVHnlCR+0LFcQWjCMElz0HB\npmIeIgPjw361on1H6LYO38nxaEbOgqga4VwzRlvR+UdItzwb8D6cO60/nmFnWkFzmixXUvhXcF4H\nZBn4Wcw0Ffzlb5kMZCDkl/DClKLno9AKTmfIlQ5irjn4e2bBl5oh4fy8evggUSP7pxqNR+5kYCT0\nm7ZRD41g8ATBjs87KzVrDQ0fohN5B0V1Qnt+jzKEaxnfHc/vW4wSAnzYx+yBvCsFKy0ACDXJYJsu\n8G4VJ2ChVoJooyApLqVUUN1A8i6S+jQdR56BbOd9k/MXXR7F7ZHzstIn6XR99dhSZXRe75xR5okc\nZNKoQCIMmTFKAV/ysBrJ7DzMKv34Mw5znR5/B0QAgRxHJceXiY1TngqLfufzJMLanWkDaSRxNeqQ\n73dn5+CHH8lnYZ3ddvl4/Lh/FfadLtcV7ne/izWFpG2yTrJhjCLGO4sRWIxSRtFAGuEk5zX62sef\n1y27kVfKRVDhf7TsFv5HRWXIDDx2eCqp/IbtVML1kO1kWx+PE9nf9LlS1EmnRWAh+VIBPxHplLbJ\nPnjmrhAnTREAgDCIqHRdFbeJ+03bS/vPtIJjDhWkXYoGPeM5axCO6QMwQvE7IJOZeD50LA01Ag3Q\nYEP7lYHB87XIA/8lDlKynXTcQoxO1QLC9Q2csORaqMj2z4BkoijXJ2qqQcUJEVQEGAgwIAUOJE/e\n6Jx9cu81/6QUIp+/jvf+cSzvoDHmyRxkOjbQKjONcqIDxHKSZ7hoDI4mORatwUFNRf46j4ZBczYp\nWvbks7FX5thyPWbVUxE2zKQAjnI0RDpFctbCnBZiIjS9CJki7sLgHE7qChfdgHmRY17mWHYD9qsC\nS5ZXn5cFtpasohctORlS4ZbsoQHi2RzWBZZcIN50xEcB6EFtBxJ8BIhtrxVQsLPm5XbAwZQsn/NM\noy6IzyIFU62IwFhkGnWZ4XBWYmDdM4GO7k/yYCSmlMJiS06fl1uyLjhf9TiZlzDW43hW4HTV4+Z+\nBQWq5xzvleGzu5ctADIzu8XF9zuXHY72ytD33z6o0Q4Wt/YrnC6pjtMZh6ePaq71kArBG4s2CGQW\nmcK3JM6Yz59M8Or5Fs4jnMe7bkzx1qINhX+lgDcuWhxMC5yw0ZrzBGsGCBp9vuqDKsPtgxoX7E4q\nOXyBPZ+v+8C5uMntvjEvQyqvM+6K7I0U/tveYlqQntu0yDBFLHrLZKe3DsYTL0xBBTn/w0qcMal4\nP9cFjHfYLwushoFtBAYclCWc96irEoNzXPinVOJBVcB6oLc2pmczkb3xqPOo2TfxCMXuFdfRpPYy\nLfWIyCuqAr0laHSda7R8HWQQmpU60BAAoMo1mt5hVkktTKHpXbB7JvULuj4r1p5bdxYiDSTvuHMe\nE37P1+0QzM4klek91Wq8Jw+musywaUlrr2GNQanz0HsTzQYH64KAZ6r4IEZwSkfSNYnuRtCCmB6m\nAqzioPl3eXkiC/+/9EcvA5AXmDr+KaNgosBdnKWkrPbeUHESGLPKgXERTx5GSTtlmgYbCrVpBlhw\nmC2AgFTmRiIIIYt21qLKMuYyUNFd2ro1xN0RprRWKvi2C79hmudh/bSdWiGQTAueHdUFOWuK6rLI\n3UgqTgq8YR/8Uolqs6wHECAgBRvkWdyXSOAYS+mlzrgg3aIA1GUWQALCzAcodSIGbkUWUw9KKWxa\ng/kkDyZo284GdWfxfAlig4gqywJwUAAuGxO4K5IG23RkD73tiIwqKgRTRtwdsp/P5Zb4LfM6j7wk\n73HGJE/P93+wZH4lXAwBA2x7iymjkSRCHlh9QBjl0jFJh5uqMIgShfdJRPD/sveusZYuZ5nYU1Xf\nZV32rS/n+DCeY47xGPIDRpBjZCQEHEEIBqERCJvEFh5lcJQYhITwyAgwwaAIcU1+hGDJiMAklhKD\nEQjEj9GALIVbgo3FJfwYxNjg8XDs49N9unvvvdb6blWVH+/7VNW3enc3bnfb24I62mf1+tZ3ra+q\n3tvzPq8hL918KpbvhuwJafHSsUBeN6v31+qYYNtNQqo5hmz1+RCykAjC9DXFmBBuyVKNMcULR30u\nZwgpNikWBVwc0xmmmN2o4HjMlTpjvJuJejcoYaiV48sqmik2GuU3JmtLblLuvxAFBAOQpUKBBj7O\nLADGSgcfkgJY2QyKyffM+5t7Dcp1pHz2uHcvv/6WZ/Go27/8P//ioY/9P970zx/hnTy4XcqMf7pB\nRi/FlropYIpIAmfweeBLQSbJPJ50/8lnM3xQFtRePyXJTir69ZNMrF61sUkZmEnM6WMUnifV8IQd\nWQasMcLsbIxM0E4xnfw0Jgf0Ox8SQaLsLywCgxcH3W7yaTuAdO1R677vlDmafTP5mI4ZfXZdTcoQ\nOxX8HjIJMqsz6dAZfB+0AuEwBS3BbJLAIcpmmEIq4sVy0t3oi32gmdVIi6lU9/R5cVW2hC5VSJTF\nrRs9Rh+SlWaAxJ7LpMhh4u/i594NwhLduMwvt1No9qoVgbUrhMFWKyr2o0+M1jwHY2C7wavlKNnn\nHfcbQxJkoolLgiCzzHd6XlZkZOY6/x0iEkKLgosMxD5ki4cuLfY/QOVCjiuFGZUOopqGIL93ipyk\n1m2NSdVeB2WzkM+AIcgf/z3qPrJvzkFjdUzOm4CYeM+Epkb+6AXgdWOEJj6LwGAskHQ+fJ7kwoKW\nIdB7ctZgihIbKuM6ThVLwq4Zn2TVTyqeUwiYlG1BxvOc4ohzGMjCxuv9+EJYcA7xOzP/Y8RMoaCw\nSdZioJB5PDo8++1h/j7T7VJaMj/5/g8n32/2dYvvczsGHDSCySf8MQVmtRmToZmrxqKfIha1mObL\nRl1RMLP9Ableqiej/+bAdWoe02rxETisK7VSqkTRvqhEI/JR3Hus3rmbfCL4XFW55v12lGqHfQhY\nOochCHwVkElV1s0ZdHE5bEWLZ2Y/yz9T662dSTTo1IJrl4UcaWn4zALhlGsSBk32AC7cdC1uC4uj\n3IcVPAEkqLU1ZsZIAGQr0hjJwF42Lr27rcLVV43DphcqoINFlcbBVqsdrlphHwBQuP2EhHTTT/gn\nV5bwIeL5WztcWTdY1BbbwafzhSDZ/Ke7KbnLlupqlMqNYrnRArtx1qNyFt3gcU3h3lcPmmRFUJhY\ndflwASJJpzHZCinjchx3pDnhttJaYU0cHkOBxKz0niSgyAvcdvTJ4iAh7OBDig1ykQ96HnL9kT06\nAolQE8hWB1DGP7OgEVJV8SKUQAkuvJ1y2tFaWFQZOs6Km+KRyECAbhQB06UcJOj15Zr0VuyGkIQZ\nIcUhxPReh8mjsqIUVDovyrpQiVGd9Z5i9gZQmNByY/OFUGGbfIY9p3wk7Yv3/av/HI+6/av3/n8P\nfewv/9df8gjv5MHtUsZkJKA/F7kMKlNDoLIeovhzOWjpivCFz0gGy9xs3x84NHG5S4isYCg/kj48\nRloBedLFKKSW9Knz91LL4QT2Mc6uzQEbQkR0avanu1D6EZPvmYFxWiPlPdECBPReOPGMoF2MyRYM\n798hs+qy76mRGRSfxTXLxbG8j/J+qOEyuY89zXuoTKEBQl1kEVoIKy8aIcZMaFksYHzekvAwlYAo\n3FTlv3kf1hr4kSUGkNxmPuYFn/2Wr8uYXbb0rBF2CAnmxxREZpA40dVjviDxfnOf51iOJcglCrKx\ndMFwYWMfksiSrq38fvUYBtMxd+uQkcCmBdXoPRsF0mRLJrMSzGG/2XVVjrk8H4GcJV9MxdkcnD27\nnqsyFgTr1MbO+iaPdSZd8jikY0zaN48TWvMGNt1rAqWk/uPYjbOXQxdZMHevSfuChv3xmWiP0yCZ\npgk/9EM/hL/7u7/DOI5461vfiq/92q9Nv7///e/Hu971LlRVhW/7tm97YOXjSylkEiFkL+4KY4AT\npZI/Wjic9QGHrUXvZQFhDfmFFvFatw7rRqyOO53HYetwPogFtBtCXhQBLCpx5yxqCwSZfLUVv7Uz\nwgRQWZvcVwzMAlI//bipMYWIm92Aa4sGNzrJ0AYkw7p1Di/uejyxlKz3hXOYYsCNrsfCORy3NV7Y\ndnhqtVQrx6WFc+sllnOzE/aC40biCpMPuNWPeNm6xVk/4bDN3GVNlYP/ANBUMhFGH1LCKPnWAOEu\nO1nVON1NMAAOl1Izva1tIrS8sx2xbBzO+wnXDhrcPB9gAFw7lKTKa4cNbm1GXFnXSWu/dT6idkzu\nDGne3tmOmuA54PqhBNEJYnjZ8UKs0DHgeCnlAYYpoBsDbm0G/NOrSxhj8LGbW3y+Jm4Cskg8f0uy\n8I+PWzx/awcfIp55Yo1bmwEfvSGJms4iAQaOlhWuHTQaIzH42xc3eOaJNc47Kfh2rkSkPkR83slC\nLNKDBn/74gavuL7Cf7q5S67Vku9rPyazbBy2o1iKm25C530ClTCLvqlsrsYIpMJyt7YDrqwa3NmN\nWFRiDa/rCqfDhOOFJAGvGofTXkAAZ+OEK22dxkOMwIvbXpWbkMoLjCFgiiIo6XrzQSwCBv6Xej90\nTdOiaKvMuk0us9ZJ0H9Rm6TMhRhxezdh3Tgcti6BIVbKDMA+WjcZtANncGMrFuzRwuFU5y6tFzYh\nyBW369HCpT6nFRl0nBkDLJsKu2FKFvdCS1YABtaKMkFr/byTAnz9lAlsK4VCkwGA1pL3BA7MY25s\ntIzG8sYfYXuc9WR+67d+C1euXMFP//RP486dO/iWb/mWJGSmacJP/uRP4td//dfRti3e+MY34uu+\n7utw9erVe57vUgoZQLSElrkM6ktcKlplURtFgIm2QndCbQ3WrUOtL9wYqGkeRZiEOSEfwIC/usaU\nDoMwxvLPQIEAqvmzPO4YApy1WFdVcqGRQ60ygvA51Boz1hhMCKiMxZFmZk8h4qipE5kiA/kAYI1M\nwHVdzQKulbM4aWqdtC5pik2xaDHXgCZ7U1kco05aPbV0qe0iiyGtEpIjsiz0Sskk15AyyQe6iDFz\nXko1u+QaarRUc8VgdFFT42AhdXRY1+VgUWk5ZiQG3IWWtQk2YVgAACAASURBVI6IyRUUYq3xJ0Gc\n7cYAxKi5D7KNMZgr6wY+xFRh0wAa6I+Ia0FiHS1rdIOH02c9WTeIUdBnxgDLwg3WqzvyvJukWmfv\ncbKupRRByHGVHPjPdVkYpyLBaRNs0oAzIAL6jEi5PBHAYSuuvYO2Sudx1iQhwuut60pjFvWsrDQA\nHLc1YgT64JMVxJgjALROFLQp2IQ4i6ClFOHULUWUmbMGDa1gWrRRBGaCLxuoW9eh1hIOsRhXqzpX\nZs3zXZ7lsM11YtYNUZ9zC8HHiHVjk8VdChhAzivoMnkXqTS6CjSb7ltqwCwbJIFkrTBrl5ZbiApJ\njkiQbucMnJP5aK1cu67yMc46tcY+C0GQT7N94zd+I173utcBAEIIqKosJj784Q/j8z//83FwIGS1\nzz77LD74wQ/iG77hG+55vkspZEYVEJK0R/+pcnkpyzEtFh9y4aXy31v1va4bi24SDWozeKyLGECa\n7LqAI5jkgxDrRfYLhTXjjATiyU22GSesKkkc66YJq6pKv6/rCoOXmItQt4sGu6rFP20hcOijpsb5\nOGFVi4+adCMscbCoHCwMdn6CgcEiSrnZzeBx2FaJ+rzWImhNJfEDlp5lYmStMZsck9FyxR0LiwHb\n3qeYzLJxiRGZCY8lRQvpOLjtVOMk1ghlizEGp9txlti2UCRaW7t0XR+E+4oMvGsN3ocIQIVVGYc5\nWta4tRkQYxas1w6ESXo7eHzeyQLOGnz0xhYGIkBeOh8QY8TVA7EGpdx0jsmcrOSch4sKg5dFs61l\nrHz8dpdiMoRaP3W8SNZKr8LI6FgJMYMvOh2HtDJZsyQiL7KTz1VfKWRozWxUy44qUINqzb2W7ibE\nPUIWuRAEFMLg+1JpVIxxKaBdGcBZBYEYp27eCFsIGZbQADIKjJVmKRBizOCbRZVjMgzUU8DstLxx\n6wy6KWBZWxVQBrsxJOE1+ZgScTdDQFOZWSlozkVPOhojUGcB5WRgAcdqjBLnayqHYfKptDiLlokl\nIoJmGH1K8qUwzC7orAjc5Xak2zDkGk3cP4bHl8/yOGXXcrkEAJyfn+N7v/d78X3f933pt/Pzcxwe\nHqbv6/UaZ2dn9z3fpRQy5EAiAgWQAD41d3IrAQyOyz61lUHcOoOVLnKTj2jVpF3WWTNikxodUbPq\ni+QqFIwChr51+WydQwPNLaicIHwShDmgrRwaFUgL59BNEuwXGHJMwqO2FqvaYTsJKaYzBgvn0nUl\nY9th0NrkrXPJLzxMQSpzBoHYcswRMdXq80smttx5P0kQmYsnz7PQ/ABAYMliHTpMPmruAMEEEqjv\ntBb6QnmhVq1YM6tCw2Y+wqrNz0Mhtl5Ukj/SiuWxbh22g0+AAmsM1gpuoBChsDP676NlPYMwn3UT\nnjhqsagFQeZDxJV1g8NFNQvU39mO8BE4XlYFi0GUfdYNrDVYNtBKnPk8lTXoaotTuhe7CUT6TeHB\nEOZGF7B9CDOAlJfBRuE5+pCsyX0IM63DpVZBNQYJar6u87QmCGUMmYiytGSGIMLEx4yujMgJkykW\nWjwPnzUt6ipUSmtGxpaMm3Xj0rWXtS0ERibeBET49V76b1ELslAs9bm7TMooqFuvseqyzNaOjyat\nG03lkjUzhZCqYwKAtZoXN4W7BIwxfD9zi4axL7lOhnK7dJxJMVbCrx9He9wZ/x//+MfxPd/zPfiO\n7/gOfNM3fVPafnBwgPPz8/R9s9ng6Ojovue6lBDmspUDsgz+lWiyEOefF7Xyt9LMTr8j3vf4slkN\n6sbIz8JUR0wZwIBqNMXEK10jAUhAgf3fyxYR7+KEijy3Xrg87qJxXWrO5SVIf3OvY0q3ASdRLFwd\npQZvinPzmQivjshB2znAIrtnJFieny29Yz3G6IMSMGBNhv6Goh+ohUogXIPYqmnmIHGmEGIQmfvz\nWYO6vIw+WAInmBycL1kX0t9ef+axkfvtQUPtoqDy/vmA3F/lOY3Jf/tjPeq4i/pfSNtjek+zuYL8\n+0WNKDJe917tohjC/jnLAHw5f8pnKrcRNs374HUsn6f4/V73Xl67/Ny/rwe1fVDA427lO/5U/x7U\nbty4gbe85S14+9vfjm/91m+d/faqV70KH/3oR3F6eophGPDBD34QX/ql9yfcvJSWDN1llTVY1NkE\nrZ3BWS/BwO2g9e1jdpEBQOvm7rJVLQCBRSWm+bpxaSXkYaxdxUXAIy9cRMg46GIfBcI8xYijusZ2\nmrCs3KyoFBPglhqzWTiXki/FXeawrIR593yYhJVAM8KZGAaIBcUkT2OEnddAkjHbStx/B5qhTncZ\nrY4y50U0doNWrUC6y4wRjZnWhYHkrTTV3e4yQKjaz7sp0eV3atlwG91ZB4sKKy2wVh4foay5aonS\n3RaiFBE776TQ1EUQ5oNFldxpBCPQLQKIu6t0lxlIkD+uG1xVV1qISBbNdvCJKSFGYTO4tZGyCqwC\nyvv+xJ1eLJnR46njBV447fGyozYFgukuExhuGYSOya1Fd1ml8PRyeZ0KFmEAqf8J4mACbaVWaq1u\nn8rZWYG6ppIxSwhzjEjJmVUwSfP2MWKyOTFYPgOqmJMa6S6jECNXGOu+UMhOahXljH/mxZjE2Mwy\n2E1lkusakAWv0/w1snosKhHk2zGgrQw2fZgpgHRzLWuLyhicDz6hAkMEKiuuM44L5jVtB4/GCZSZ\nyckhRDhn4ZxN1gzZk4GsjMyoiwqlKyVXQxI+6YajtcM47ONojzPw/+53vxunp6d417vehZ//+Z+H\nMQbf/u3fjt1uhze84Q34wR/8QXznd34nYox4wxvegCeffPK+57uUQiboil/ZeRU+U8CQE6+ZappS\ntRxp9oZCJZOJb2YmtTR5UeQ/MyYmUsCoJroRs0Q1vJysxYFWQjR9cW8lhFm2AS5qjkIU14Dcbt6v\n/OSjlIlhQsSXfcQljNoWQpJwUqlLzwmahXWpbRMmuw8RLzXfdI097TpcsE/6TpdCEZAtrTiHgg1b\nry375XsmLNXGwtrQUxPeTFgzx82+1VL2//y3PZi0yYAOWjD5mYvvNlcutTDJwrGIyaoC4szCmCcA\nIr/cYp9933/5jmmRJCuvPCa/jvQ7odChgFKbAjZvjHCLBRPT/SLm/e6l7hpjYNmfxfZ7WVwWBh5z\nKDRQslLItUvYMPtyv9/uOrfJ8ZBsaWcGdV4vFu+wPF16btydoLgP155fN8/z+7Xy/I+jPU5v2Tve\n8Q684x3vuOfvzz33HJ577rm/9/kupZAh83KIjMkIysirxkSuJCAPII8cn2mdQVsJYszrd/H/5oUW\n0FwZkxOwLDLZoDGSSSyJmCbFaAwkbuKjsOwulS5GLBbxoy+cQ4Qy4hotF+2cWBTWoDJGKSwMFpUU\nouJ5Wt2PbeEUwWYMFk7QbcYgI8tCVDSMLDJMsiTLsbMMxJoUTC4TDcWqUFhnlH9bY9DW0t9tnX3V\noxeEzqjcckSBLTRusGxysbVulOdbNi5phqX1M2q8h5o4KW+MkWTEVYMUkzHGpNgNIMHcdQFGkPMG\nHGmcZfQBfow4WlY4WtY46yYcL8Vi2iodzNFSOMxIK3SqcZ5l4xBqWZCILjtURFxTeZx1Qm+z1fK/\njBsSFZjzuDLdS9CYTIjUbnXxI0xWGZ251hKhx3dDjbiMqbBfgOyyJKR2VefkWWr4YxD3mIFJtW4A\npFhciBpbAoEuVKyyO7QMrAsKU+ZNRZRnZZO1BCB5GWi5yD6le1ssF+ZwuZDjq4vaJou3jKNSEZNk\n0pj2owLJ/qFy1iqSrVWqJ1rwcj8yn6YgVgwtG0CFnYW63vJ8LK0aMi7EGDPU2bCPMAO8/ENulzYm\nE6IEDndjUIy+UMFU1iRIKSkvujGiG4WfqRuD5M+ov72b5KUPnigfoaDpvdDRjF6OybXZZfCQTiZt\nj6SaIY+YFfoLdacR0bOdJlhr4BSNZnRbxt0LXcZ2kpyJiscYmfzO5Drxg5fFfDf5GdrHh4jzcUoZ\n31yYprRw5FK5ZUbzdvRpMaSO1ak7R6hRfGIJMEYERa0uhslHqZHuTKJTIR0Lt9XOaP6EFIKi623y\nQf50uw+Sm0CAwOQlU7/WkgKTkhQ2OvGHKWCTuNAEDbeopaIhkXPnLHalxdXOOuE36waPs92UeMhO\ndyNOdxNOFRHXVEIeerYbk+tv9EHQZ53sd6AFzg4XgnA7WFQ402ucdRM2/YRtn2lmyn/z/pnzQwqa\nbvQYJ+kXKjBUBiZ12ZSutswsEGdFtSp19UxBxmCILCVgUkG/zThh5z22o8fOe3Q6nnaTR6d0M70P\n6HxAN8nveR4qc4HSzeSE4rzgci46S369PLakmJtJmfwcH6R24nOTsZl5UZWR+V/pmKKCxjHW+yDA\nAt3WVEZ58pDmObnPqCRxDWDf8XPS9WJSGh9fsB2UTMpl8m+MMXk0ktVZWC6JqqYMcD3CRkX4Yf4+\n0+1SWjJZo2MAOJv51FZKazZrJjmYS9eZMXky0GIprVhrgHhBv5s0EOf7ymlj8mfznPTPOmOw7/oQ\niDS0AiG0/jmdE/o8qmXSxcHn4jn3a1Nkss3inovPGPPx7EMKOubQ8Jmy62LuVqA1mYgc1QVVwnB5\nvLNl0Da/C3FDZkuGNOpl7RsKwxCzJl9OcgfNHYpCF899EaPWg5GYEy2JyhmEIAqCc/JbpTVDCAOm\nMGNMhvfDfX2ICLro8x1PIVcuFeizAYrSYzxHjICJeYFif7FPnJWcC27PixjU+tT9iz6y1sAGzdvi\nQq5uT6uWRGVYLyiPidpacXGFgKCxEtjkXIZXZgsEIFq6ZXUxijmmkFBlxiSvQbl8ukJd5fyrnElW\nDVkGOD4IYeb45Rh01qSicUSZ8hj2Ub6fzCqw39h3tuzHQmBYZADJbCyC/Vtem6M9W28sKZDcoybf\nN5AtmsdlzFxa6+CCdimFDDBHxTDwl33/8sIzDQe3U/MyKVEsxxZ4TLks8JjiOyQuw2qcrMpH10E5\naGbQRhCxs/8crJuSa2KQQqOMx0CPN8Xz6C2LRcRtxOXTH71/nWLb7D5wQQVOzPs0uwH0SuV9FM+7\nHwso9ym/h2J/ACm2VaKx+F7L42fUHvHuZLxQnC9vywpIjqfkfAeOGcZ5YszCjO4NLtB8PsaF6EJN\npJQmo9TSOIXEmfjv/Nx3+/fjPf6dHllgh7O+LPt8lsRY9FfcOw8g4yTujcwZXBrz9qnq3aVCYAEE\nc/fzUtmRffa0PG1UVsrzhhhUOOUTmAsOZ/wpKUrmwU9hTBY06bwX3A8/7xWnuV+Mhkry42ifDYvk\nYdulFDLbUVwxjTM4UD88ifVubiZcW1e4sRlxsqwkBlLnKoase3FrO8FZ4GRRJWqZW9sJRwuXgu7U\nfGsnJjWRMSOEWBAQ6u/Bx1SXPWoC5RQCri9bvNT1OGhqrCqHW/2Iq22DW/0g2ctNhc4HnLQNbuz6\nRJB5UFc4aiQmcKMTypmb3aBotTERaFbW4M4wSL0QRNzphSqjdQ5HTY1Pbjs8uVrgVjegthbLyuG8\nl4TTW92AythEuLmqHQ41n4WknIDkxdzY9HhiLTVYbm1HrBuXYhw3NwOuH7SYfMC6rfDCeYenDhcA\nhLrjZFXjxfMeTxy0+ORZDwC4sqpxpHVbbpz1qYYLIJn5nRJR3tpI/sowBRyvatw462GMIMkkeVJo\nbpw1uHbQ4JOncv6XHS/w/C2pLUMf+8uOF7hxNmA3eDx13MJZoYo5WTc4WdV46XxAiMDVdQ1rJKn3\nE3e6pBG/8sk1PvLJDQ4XFU69kE6SvPNvXtwmdNk/e9kBPvzJDZ55ItPa9GOYgRVizLGO804oTZhU\nuajngA0AyYXIRa2txW23XlS4uelxddWk+ARjWac7qQm0GSZcWQlibq3v904/JAF7ZSlMBmQlEGHl\nNP4S0TrJOfEhJGEcEXE2TAlkECEWkcwxcekO+nyDMksftE4SI0NUZgIoWWzEWS8M20tNiD5ZSnyk\nspJMSUt4mAKOFvLb7Z3HurF4aTftKSxiUV5dSYzt5naaUfswBna0kDjj7Z1QxdzZipvzznZMeUmT\nj8ktSxRfP0ry5hTEvToU57WGSaOhcBPKfZGIk1xn1koMtHKPx+b4XAr3XEoW5h/7d38NQDTvbhRN\nct1IALxxVpPOshuDiVdtZRNrLRMrh0mEEwEBU5xbINzWulzqmWZ14+b1ZRonSY8sCNVrwB4AtpPH\nYV3hfJxwWNdJczQwOBvHJFTYzscJjQoGcqABSK4zeX5JMN2MUoSKwmdZOZyNI47bJtUQMWZODFm5\nrDMayCQlQ0CpBLG/BmXKXTaZpoa/7QapGcMEym0vZQYOCuYFwpF56jPlACMYID13J8XQStjz4bJO\n23mvZdA0ROBsJ5xnBlJE7NphC8QMari1GfDU8QLWGtzeDPBRYM0xRtzejri6bkSIbsYU+Oe9UZB8\nwZNrnO1GhQgLZX8IEdcPG7DkwSdPezx53OLG2ZAC/z7kBEb+m/57SarMkO3J5yQ9vqNqr7AV3+Om\nzwsfYy9tncd4+Q6tQYKdl+1MoeBlMiaFCpDLCXjdR2INWk4ceXEfNamT1EesgcMx5tWVRphzjBHb\nUeYerQEaqIPP1iQZPQD5/U6nTNu1xWYICdJcWuE+QOOLCjYILMKW+28zkPnZYNAYpcQfbXE9uYdu\nFK4/cpxNIaY5Tpc2FQjSNOVcq2zxlPEXnmMKAf/Xv/wyPOr2tt/69w997P/8L/6zR3gnD26X0pLh\nYHTGoKmy1K7tHOlEXivlghTBUIkWNXqhCq+dSSgXZvaXq6wxBnWxqYxHGP09xRJ0+6Qul1ZpXGpr\nsdB/kwAzRq2cF2NCiFVGvtfOYqEoMubRkHRwihGV3gSZiheaJ0PGZmtF4AhlTGZ/Ln3LhNlyAlhj\nsNgTRtJ3tObuFlRcIBtdKIg0I5sAtWvZJqgzQPYTQZ/fE/uVi+CyQKQ5a/Q8zKcQoRejoIyIUmMA\nnQtviLKIwAjtTARSaQEfonCNrWocLqoEWz5cVJLDpEF+ZngzqH+4rDFOAYeLCq0G3FmAbTd4HC6l\npMGhXkOC2LlA1n7GP8eYLKiCIisLzJVjnksUY06tgiaIJDP6SaSaNRK0TqwO6tIrSRmXlWTMV6Go\nZxQkTwYogt8hJjZzChcKExknFk6vSZg/1IVHAcNAOO+FAoaIMe4jeW3zome8B6JGfRCKGSqFmXU9\n6nsX5gAfWJBtbu2QniaqwBxV8SoRcuyPWlkfar12QnfGrPClOIzLLlajxxu9xxQrhFhpYq19LkVP\nHk+71D3AQcQBRvoM8Z+bNBHog5f9cyC69KcyiSxEqWXOP7nOfLADc/8wsOc7BwOO6seHaH9GBVBZ\nZ51CqazoKdpiSMLBx8xSLIxiOlnA3/P5SQVP9mDep8E8rmFSHEEXueKZSn9u6p84zzmxxiS6+1JD\nJPqMsNoSpiuoOpP2TTQkyHEXMtWWzLXU+hn4jTGTQTLWMKnL0hWCkCgqujDKhNQxLb5Immxlxc0z\nqoUiSCWr1T4F0cakvCEV+wrK+2YSp1jtrBYfk2Jfk14vFWcLUd2vajEX41bcYtm9E2MBEDBZ8FiT\nLTqSbiY3Wygy3W1OAOT1SsQW5wch9z7Nmfkfx3AorrM/Hy5yetCyBwpyWf2N6ErWZZLxLZ8UMIxb\nGEM4eR43BMuIawoJOUbYOYVgpb9nhB6KvpUYKOddmVSZYmCzVIY9UJH+x3Yvx89+jIS77TN1PKr2\nj+iyT7MFRNiYtXJOOKNaEbnIMltxPpZ9OHJRsnPt3Fpzl2Qtk/mYpOaggdQoiCa6Bei3putgUo2L\nNcqdyb87raVOenVnRGNqHJmdCVu2ybzm/inAH3NOgg9RETouMTjn8rbznB/mYzCBlD7lGHXRK/qO\nrAC8hrEmCfSyn8vFnJbMPqcWAFTO7S3+2YVD11AJLZXtNrEwN5VJVSAr1dJrtaqMkX3p3gOEhbnW\nHCVyqYUQcd5PWKp2TJbeVq0AY4TLje6tVl1kh4squU+Mvu/d4OEV5t3WLnHAhRDhQoSzrABpYCkQ\nCn89GSWkH8WqszGjnhKAQJ+IY7X8FFQYknstuWpCnC2sHDM8GZFsgDJzA5lROAqiDABMiIBlXKYE\nUdAKQZoHnG8BLI2c9yXAxQKJiSOmewFGtWRMVMWnEDYhZqbmUFggdE3xXFIRU2ohzap1xgwEKpUd\nZ4BByxKwkizPJRVYlRWhGOco7o3KnlXTJSugtFSzssBEUqjAdIWAepTNPp7TPpZ2KS2ZEJGgvJUp\nYJAmL36pGt6eolAVg2sstObyk43aDa/JFtOAzr+RCwkQy8Tr4k3XGUsAJJ93zLk11phUeZDEfpWx\nyXUhwiUggHk5GbEyhZy1TYsGyFUz+Vy8/xKfzwQ7Tn7GAriNmvLkc64NF92ZpWLm/U/BP832KQp+\nFZYILRVylCVhr31SWi60DEKMmltDjT+mJEuhxMllmbmN+STMoeL3gZaJ5qgwGZW/yfaQhEfeJgKl\nqSx63YdVKEn5wr9KraGUbEu4tM3FxDhurS1gyEASZD7IM7O870X9T4szvaeYzwuoVQOkfuOxtJAk\ndyzztaUyFia7p61aHaJQ0aLObmNOk3JO0B3GPDPGSOiWGkNM85VzUp5HPA9S1jyPubuTWvPYGn35\nXDInuI2fFELWKIllWjeyVZhRhnd7R8p1IMVjLrBISqugXFtKgfi4WmkBfqp/n+l2KS2ZGHEXFUWM\nAPa1tWI7t9HcjZGmakFFc5/6QTLwzGyAJCSpWjNA9leXSVkAUsyE9+GLCQrIbxWya4ImOC00TtqL\nBjmKfXOlwnw9Qpwjra90nzrJomD695+VbS5g91wzsdTU8mSSBSSke5f+zQtLaR2W52YzMwGfrTDD\nvk+LWOH2iDlOFgphyAWwFLZcUErLjr/RBVjeL62CUlAmt02ICLQOaV2oZREB2CBQd2PmeUcBRV8V\nvv3ZwGCfp3ch77uEVqf+RwZyyDHzRdGA6LDcj1RQygsyp0NyOQCwMiZHpbnYZXZRCyjnpMw5au8W\nQj9TxnbY2E8EAEC/19wO+XeMOQ6T+yv3SSiuXX7Kc9694Jef5SOy1/K93K18Xqb2OLnLHnW7lEKG\nAJDeh0Sgd9w6bAYvtdhHpblnZUwl4GudVAdc1S4hzLZDwKoRRM6ysQnZAii6rDIpyGgiYGKGK1fI\n7qu0YEOoXuAEUbaqBI11Pk44arRqoSLFIiIWzuJWP+JKK9saPffZOKCxQst+qx9wddEiBCHVpBZI\nNN3pMKEyJlG4T0HgzNeWDbajx7rR7T7HCzIoQsSLDwJLPVnUWNQuLUSsz7MdPAyQXE2LWuj3Vxog\n5/ejpWTUGwMcL6Wi5pEGw6UmjSyQd7YjKmtwuKxmWh5RZHe2Y/oUwssh1XrxISZaf1pep9sRTxxJ\nddEXT3u87Fj+Td/6zfMBLzte4GBR4cZZDx+komU/BXz8difFy4yQXcYoAIAnj9okhP7mxS1e+cQK\n592UIK23tyNCiHj51WVyBX7s5g5PX1viP720K2KG8nxlZUwKQEHuCUpsN3gMU64lz4A9qXFkzCDV\n2yG7wKbPtVCWSh66bqUI26qtEntCN4ZETsp2ezeqBb1XGVOtz86H5OqlVR6izCUqSwa5ZEDjMm1/\nhIBbaivQ5tbl6p4xRpwNHqva4rBxCNof68YlQlEfhOgSyAH628rccNhKZcx1k+l42IKO2xCBg8Yl\nVyj3mWLEaYFS244hwaeXDYvg5fclVEfSj0u9P7qPCcKJOv/342uS+Cufs8qYIbN3PI52KV1Q92iX\nUshw4lv1cVJo01dqTLYAgKwdGpMzyPN5TNqHpnF2v3GR2tMyUaDMivsiwiwW33mc04HnzNy0DrqN\nzyRBxuyakGOKGu3IZjitnYr7Ftomg5/WZK13ny6jbGXGf2H8pfO4NJl0ErHPMM/Kp2uL/cA4T852\nz33J/cuMf8ZzyjgP9819b5J2Tz93SYVTuWxxWr0RuudiRKqWSXdc5QShBpPrpBDKyjFQqRuL+3pn\n4INBMEgxp27wspiEmBBJpQtiH3bN5+Uz0xXEOEkaz5hbK+yvi/qo7LtyPwbE9998bZWZIADWEJqb\nA8AV3XE2AEEsD+2qJEg4fnIG+/6nJGEmK1ZuTmheirHIfV2acyU4B2kc8pAS2s392Jy5O7ZatvJd\nlON3ZrlGzPqTmf6cm2WTqrRyI+W9UMkhOIHjnyAIt/9C/gG2SykQRUuQwCw5xqYolOoAEucRCymR\np2giD1mhUfRKoz6oRTR6OQ//iAzKvl3R6pKfN+T4xRRCioMASAlpU4joiuQ0NrrG+BsH5hQkx2Yo\nchW4HRCtMISoeQtA5z0G/XeE3NNuklyV3nvtsxxrSfsWrgFyWyXEkz4TOdE65a+S64vLjN87DZB3\nes2u4FLrNZ7DQDzdVJ3GNowu0uQuk/cTEkS51/fF70CuKmkN4zT67nUH5oVY+oQg5+E9dIPwsNVO\ngvmd8qiRM6zTTx9iisN0o1gZwrmWj9kNPp1zoUmqpIyX8wQ9b47vpH9P5bPFFD8afVTespiqYqZ3\npc8fY+Y8G8txGmJ6Ti7oRLZ13s+ULwDYeY+dF568fiI/WUA/efTKXTaEkLjLiKiLxRhhLHHwQS23\nkGJ+yVVaukX1+zDl2AyZzgGJpxIBuN8Gn5+P44fygu+cZQE49qyZxxusQTq/MTkOVK4L2Y0WM+LR\nM08opudLz6SuObpU+Un3cozZzUqvB8/1OJoxD//3mW6XMhnz+3/7rwDkRC3xqWdz+mRR4U7vcdw6\nJeCjCZyRUOe91Fg5bJ26lFyqRZMtn4KPST/L/BFnoYR/ot3Uqu12k8cYIq4sGpwOIw7qCrU1OBsm\nHDU1zsYJIebyy+u6wp1+ROMkKfSgdume7wwjTpoGp+OIVSWMzSy/7IxB5z0O1E22naT88vVlC2cM\nbnY9ri1anA5jyvjvlRnhfJxmGf8LZV6evAiWhSaR1ZLN5wAAIABJREFUtpXFS7sBV5fiTjrrxd3Y\njVKv5/ZuTBnlzhq8tB1wbS1urU3vcbiocHs74sq6xs3NAAsjbMiaaHh7KzVaSm2fFRxPd+IyY57O\nna0wGqzaCptO+pD1ZNrK4tZG6tVcOWhw86wXF4u6mq4eNOhVSLzsuIU1Bh+7ucXJuhEXn9aTOVnV\nsNZo+eVcT+ap4wU+frvD4bLSpEeHVssl/91Lu8Qs/eqnDvAfPnGOVz65TjEjotQAxtVyPZlN71FZ\nkzLKgWwJ83gSYDKoz8RNZqofaR8xtsRETRKTHi3rdOzkA876SRGKUsq6XABLMEsJAhmDAE8k1iUE\nrDL3THKZcY4BGZgyeJkL67rCbvTFPBJX2hhCSoxcaoLl0SK7885Txr8IgbX20e1uwrpxuL2b9L7z\n9X2MONJaP7e2UxK+ATJffYhYt+Jmo8vtzs5j1VicdT4h2OjuElej10qvmZHZa1/QC8HUBLoa2Y8A\nNLvfJOAN34UxBv/7m/75vZa6h27/w7/964c+9n983asf4Z08uF1KdxljMrtBtC5jDI4XIiSOFg7n\ngwiYMQiK5KwXbXNRG5zpYDpQYXLWyyCTbHeX6pCzNZVBF4RBwBgAIeYERStlBSqHWYyGsZHzQTL5\nQ4y41UvW/kv9gCttndBgq6rCzW7AtUWDGIFlJRPlxq5H4yyOmxov7jpcX0oRrHVVJe1nCEL/8lI/\noDIGBxrrGUPAjX7Ek6sFTofMJjCEkIpHHTaS7b40MmknH3BzN+DassFhW6VJ+9JuwJVlg9NeFvDj\nRS2TvXU46yecLGvc2Y1Y1Q53OhE4L256WBhcWzd4aTvgykqKgl1dNQkc8OKZ0Ogcr2qxTPR6tzYi\nkG5tBpysG9w8G3CklDLXDlvVzANO1vJMXBw/cUfiMAbAJ253UpiMygIkTvPUyQInei4fIl5xfYVt\n7/GJ2x1OVjWMMXjhtBfakWWFzztZJKQSqWJIA9NPwsTsQ8TT15YKVbf4D584xz976gAffuE8LVRc\neEsYN+9dkj6lNMFZN6XFyIdccG1Ru5mG2Y8hCZjjVY3T3Yi2FmVp2Tic7SYcaumC45UwUEts0uNo\nUePKqknC5KXtkDVziOuWljvHzEUxmaWWLR6DzL9eYzKtEoQyrrSsHFZG8o8oICjAzgaPdW1xsqiS\ndXNlKUX9aF2TNirGCNRCExMicLJ0uL3zuLqqUsyltD5u76Rw4JVVToqlMPIh4qXdBGsktrMZZN04\n7TwOlbaGb8kHKWB30DqcdRLr6rXgId1rck0k5FoCLYRM9c9EZe7P9zxdYK09ivbZsEgetl1KS+Zf\n/9a/hzFzFtaogbrTTgVNLwMjxozHD8hJj5shwFmho+mmkGgq1o0tIKGMJ+SYCY8npXiJnW9VO+8U\nXnuyqHE+SmXM2lpsxgkHdYXt5OFDwKquMIaAVeVwNkyoNRdkVeWaMaeDAAY244RVVWEIAY3Nmced\nl+MBaDkB4PpCFtjb/YArbZNo/5fOYQhCdXM2TIlRQBgJXEJGbacJS7WWmsridjfiZCGL8LlaMv0U\nsGpEsJws69Q/tGwMtK5LKzxaDOIDkj1PP/jpbkpBfPYj83s2vXCYEV59rpUvl41Q14gm7lJc5VQt\nnWPlIpP3JFDwk1WtZRs8njgSYfT8rQ4n6xoHbYXTbkKMEcfLGsbIvZ/tphTfuX7Y4MbZgMOF8H+1\ntdbdMQZ/d2uXSh4888Qaf/viBq962QGCLjrjFJK2T2th0kVv22e2gJIKBsiLJi0ZTsVF7VLdHQIr\nSth3ZY2WRpB7kj6EuialbALjU6tWgCml8OMCGZHhxpMmB7O423byBcItfxISPKmrdwziRl5WLs2L\nSmMxzOXajqIELiuLzRhwqJU+gUwPQ5YO1p457SRIf9r5mSVDgXPYyn63d2JJUchQQVzWwghw1st5\nbu88DhqLM7UApU+oXBqFsdsEkQ8xgzpiGT8zGWBAaLTcVwZ0sL9YZfN/+6++5MJ17tNpP/rvHt6S\n+dH/8h8tGdGy4jyATV8zcwCmkKsucrcYAfJtE5cv+QcR3iHFXEIR6Jcxkicvj7cF3FksHGAyOsG8\nxEW8+nODi8mMF3hz2KtBo0wA9GdHm2jBvcZPqEkSlSIPLYM3aMYc+ZkmZaflQsZcGv4758jQtFdX\nTMx+9ilq9US9N5nEpQ9erstrMoFTKHPyAsX7iXoM35WFAWKO73BRMVzgrLkwJ4SsDIxThIhE28Ek\nwxDzYu5suS37y1O2e8j5ECESIWjS9hAzu27pZw96Htg5jJYuLmqxVsdlTror4MyY070nlmDdMyXu\n7TWzt38OLmeQwP5+AUWVy6JZ3VZSnliZXPIsEqVHLO4fhiUIWDYjfyJt138jg04stPQyMnDAIM7u\nkwAG3osxYl2xYKArnjkzCMRkeVBwlYs+/2zxPYNOBDhT2Rz4Z0A+RLlObQ0GvQ9nzQx8ABRQ8OJd\n8h7ZpGSCAmLUtRZtdr8/6vaPEOZPszEr15k8QHNSY4APwnvlg50lo0UVGCFK0C9azJO1QsknBUST\n8wwosPLgl1GYzm2lymRKLvP0Zce0kA8+wFd5W+NEaMQov1lIYLNxAVbdWElYxXy+qihMQWElfSCu\nC+FLy0mfAkawqG3Q84hLzalPXCaS5MuMQQLPlYnwiKijSQmQBvK7DzlDnqSJFFLy3LKI8LdRGXzL\n5FBnRbCMIccrAC4wc2oV7s93mYKrMWuNJJ+U95yFwf625Dox2b1BRYNCB6aEHmfAAbdNQTL5faHt\nU4OduU1iTEwFFEQGuRQzDAVYRg/Kzc4+UuA4xBzk5sKW0Fock8j5M0kIq2wp4wQUzMbkPBlrmFdm\nYPQC1giYxFxQHqNsBkaRkxmZeFELEek8FFR3n2uO5IzFSeeItnzOfP5sWdwvl6cqfs/xQD0vsrvM\nFtcR2qGcGzW7Z5OTWn3xPab7LnKjYhZSd+P9/uG1Sylk6DbplGDPQEukOvE/W2Ow6aaEtqqnTKrH\nQO62nxJtx3aQgOR5n10AQB5szkgg05nMGFC5IBqQy9pX68Qk3gxBmXWNmvNCXXLaedRWtjELuhtl\nkT/rAwaXETVtJZ+nnUfrJpx2cm/dlIWKVM3MVQo3g6C7li6755bOaeVNO0OynY+ybQwhUXMM1qL3\nXtx5xQTdThN2UwEuMOLGaJzFdpKKipJLZLGdJvSjhzFS0XM5OuwmQXNtR7m/VYEU200ey9HNFAGi\nh3aTRzvaJCg6RRM5a9BNUgmlmXKp6LLC5DCFWbJjr6gtoq+IcpsUmcZAfE/Eli8FlMRBJGs8aP5V\nBHyEDXPh12t1SpagnoKWr1bBQ1vCWiLdcrlrEl3ScqLQGp0IO6OConYWlZNcJ2elFLZRzrQYhXC0\nYjE2m0s1M1O+doS8y28xzhfd8tqJ24wWp+4SYo7hxMKrQKWFLM6dDal8BZXAylotF+7Q+TznVpW4\nycgmTuub7tIpxCIXTOKKgy/YLGIW8oca/+mmeQIt3WVC9S/z7Xgh8dujRSWErU4o+Ucv85YEroet\nQ+WE2HPyLIGQhZoxGblGpoQ8dq0wuhdKUaf5No+jfQ4ZMpdTyEwhJJeGaApRg2oxTeZJXVIh5Dz3\niAwt5MsfC/da0E+r7rJId5lOzoJcVl6iBYzmDgAQ5tpCOx49/11SYyBZTKOPmGJ22VWmsFyo9cc8\nmH2Q+61pyTiAlBrc1/BTyQ6ZZGdiRgr5EJK1kOHXEc5kl15GCeXfjQpbH0kRkvfNrj9aMvNzheSK\nyucszw91TZRWjI9xppEHfT5aTsIdld1TMf2GGYNvadkk7R45KZILGX+zZF4oLApmyufveq1CE6VV\nw+dymiFO15kJtBxKV1fOMSndTwZAMNlRZdS6KIkbqSQld5Seq9zO8wf+VlzXILum6MIsrQTJ/RCx\nGOUm0nPT1UXLgm6soNcgA4YzeVv5x2quVTQpr4pxGuYqWZM50fh8Zd4Wc7uoEDlImWcgx0iqwiyy\nscwtgjBdWBXGxqCiO8wadW8ywF/kGpkch5WkoRy3teoGhcu5diB9TciCiEKJz/o42mM67WNpl1LI\npJeJbLonvzYHVOGTLRtjNyUyxJiL951d09y9Hyd1vi9pnAj8N+/NWQUf2Gz9VKoJESpZx6zB0QdN\nTU7ue27WO5tdFMZw8ikQopjoVbHgGAjpHyc7/0QznSebRcQZHbkzc4vOFX0SFS5OAtPKWF2AlF1A\nz8PS0Mawf4pzFFpxba0mXMrCVlubfN/pOro4R+R74r7st3TvNlueMLkkMxfbGHOiIfeVBUczwO2c\nBZraanp3BZknr5oEdBCqeAbYaflUzqZj6Uai28mJr0pJQAFv8uJU6zXqVDZa+qFyJm2vi7LSHD+V\nMksT9YQ0dkSYiBCnEJqXuS4TKaWvZSxFk+uqOCtcglH7XeKForHXVpyFlcY1rI6F2tqUQFzruGT/\ncQzIttx36flVIOQkR8Db7LJrKiuuTZ1TtTPwBqncc1sxyVb6r9V+4wyrdJ2odc7yXXCsmZD7i+OB\nvjZrTPq3s4J0NXE+9h9XTOZzyQ13KYUMYw9ASAt/UP/5OAWEWtwVjQtqSjM5TeDGIUpSpDMGkxd6\ndqnpLiSE+4setTdjkFhp2UIMChAwkFogkhcxhojJC3kiM5OZAEa699pKMukiMsFMC675KFZKpNUj\n99sGucfB0uSWJNLGFVaZkWOcQaIHGbVvrCGajKzPJv3mjEENus9C0hx9lG1TjLCxSJQLOd5DUAJs\njrEEI79xH4l5EXEUYKxNMR5aSYjyTJNq/kPwiNGlgL+4YoA6WM3byHERa3KyaoiMBwHWx+I95pgK\nXRm0xsp4Cl1ppbtsP6Zj1fVlTUFXomSfk+e4ywwMxmRmAFpbxiJpSSFmyyNGKBItatyGYzDHH5j3\nws8YI6xFEpS0xOiKMjHz9jF+BuQ4gcizbPMzdgSrLM1BudBoWSHPEURm7gtfnTUm15QBRdF80RPW\n4nnmPPdxannN95cmiktM+xntsBTbiZwbLJ6WPQ3pXCpUqAiSLJPChaeiUlepAKmtwWhy7SmJuZiZ\n4sg+FqGT79yGLFiDMiuICxOPpf2jJfNptpR4ZpBRWFG05xJWGOhGKTRcr5pHQgYhEz5mpJGckxMe\nQBqwU5oIYgLLQgxYLRkAa5Kbhy4iOb9J184IrzL4PP+3NXkBI1W5LOZ5oaHLKrloAgBL1mf5TheS\njwXVeuHSSqgoZFdXBLOyoX2iriFd1C6qOZLcVOrGspEVA2PKgeCC6GN2bUV1bSEi0bDP3GCxWORL\nd1mBdBNUnEnIsEScyeUoztFoUTfyvOkayL8BvG7ePv8kAWUeI7oWp7EWdKGmpcnt4t6KCbFVWtDF\nulQE9Oef/Ict9qOFlz+Lxdvs/+XfuBDKos6Ykfw/QISTWJOyjS41nsIZA7+HEON18nctRwF5biYt\nOmMwmYxUE+tJF3fk46lEpHOrOKLFMyPK1ecxyBQ0fGbSDyFEXezNzHK3hp6CTC1DWpl0DpO9EEB2\nM/L+crqD/m7i7Lw+yNwghVC2eR9t+0ch82m2YRJPeBVyRUVCSlkzZJh8QpgkxuMYkxtt1ACvMz7T\nc/gAO2b3VtYQs3aSBlewmjQn370zUhnPGKGwCVJedpgiOitxkN4HbEej9BtQapWI3RiUokU09G7K\n5x2miN0QkkU0TCFNKmcNeh9RkWbDB5gg53eqbfXeY/ARFYIGJbNFEwxrsVtYH+CMWCSjD2ni0yLq\nvVfLg9aL3DMpcAj3nQKD52L1DF4soyFIchwiLSsPq5bMULqQYBVpp1ZOsgqQrCkKaQpZHQHJgpKg\nbFCXYYa2i9JQBOpp2ej9UwEQAZ0FGCD9NlNGrElWbylcaE3lEgwS5OcCKQtQTImZzlmpKqkus5lw\nUOhCzq9QLdwaLR+Qj4sQN8/k1fVWuPtq5WqrrMFgcyJhjBHOWVjOj8Lt5IMs9N4AMbLEQxbgJLs0\nxqAqLAkiPktOMqduqClaTEHv31jJKzPA6CQxmhVgW5cz/kfWXLIG1mS2i9YJS8XCuxlIhe+U55Ac\nNZlvAQJO8SGi1WTSRS33sawtlpXFSvOfQpTYZ1NZsVzqnKOzqE1SCkcrAIgqCSGgtrk/qBDTJUel\nxlkDN+Gxucsed/vzP/9z/OzP/ize8573zLb/xV/8BX7qp34KAHD9+nX8zM/8DJqmue+5LqWQ4Ysj\n/DNts9kaSUHpEBHtnmZaLDQxZuQMS9n6mDWfEAXuyWuyWZMtDkB8sy6IacWM6dJqIS1GjDkfxwck\nSLEPEd5kODUHX8rniRksUDuaV3NoNUtKy+JoEpyYSLbaFoF8L/0iOQVRLTWFd9OMjxFe75uLo9e8\nnFn9G7WCbDTpO6IgiVgDh30h7yqgMk4EQswgAIPs1gqQe4uQPBsHJ9eGSS64EDW/SEsVTFFMtwha\ngLItFcAq3GMGmeqf40fGSJGEGLIrCsU2ji9jTXLZUTCVFC0WcWamSC6RLOZ0nc3cdVBXV8j5QLwu\nx7UthCNQuM9CRHQm0bmUMG8+Fwoggtgle9ZSYaLwOjnZEqlvSwufVl/5rVw2I6354t1GLfyX5iRE\nQZHnmZ/P63iKRSyjvCqt6NTHeo+cl/tAEApJkx66iDeZDIIo+3bfkrQQ6+2iZmZrxNxVx9IGZXtc\nMuYiaPijar/4i7+I3/zN38R6vb7rtx/5kR/Bz/3cz+Hpp5/Gr/3ar+H555/HM888c9/zXcqM/9e9\n648B5OApkFlzuUCHGNM2NrWUkxZnjCkmWQ6wo9hWmv3W5kQsZw2cs7PvkgGOlBVNAECuTjm/D9me\nE0a5yAvMMjMN8Pe6CDqXjQKCfuCrqypBoUs/s5stICXqRX6THB0tX2BJsU6oau4rQfQg/U7tmjBg\nBtNLfzv536wxaBQ6TRRR0oqRyxeU/E+tcymGZIz45ZnY2VinVlNILpmIHH8gt5xBzm7neX2IqrXO\n808ApJLRptiXFkA5XsrfJp9pREpGX7IOVCyBCcCpgHnyqFXYvbyTfvSolMF5Wbu0Yk+F8kHuskmF\nT+VsKhUgbAiTBLEri40yCtTOKD2KsBsQXED3H9F5yUWrCzEt333BxjebXIcxj8NywaDQLbPd2X9E\n3REMQXcSwRU8dz7XHtFmnCMVgSyUOA58FKWGSl96FhXYns8ZikRhurp0bHMslsof+4HPmO5p79kB\naE2dPUGY9MSI//4rnsGjbv/T//2Rhz72X3/NF9z399/5nd/BF33RF+H7v//78d73vjdt/5u/+Rv8\n2I/9GL7gC74Af/3Xf43nnnsOb3nLWx54vUvJwlxqL0YX/wxJDimoyyQ2xjeA/Mka7OUgKms7lJxE\n5TVDGbtIWla2kGipkAm695nPSNxY+ru6aEZN7uqmmI4TQSgaUzdKoH6YmPyYtWmASZWy+A7KSEwB\nxrySbgxarliSPQF11fmYPn0Uug8fIwYvEOpJAQC7ke4eclQJ8aEzch5nslCV74JeG7zkRPS6UPU+\nCNNzjAlF1HmfEkrpFiG7Qu8lYTTo/p33wvgc5b53k09uMfld3Hq1lfydnTJH996nMULXqDUm5b5w\nAaFLjQKGjMhSWdOmvp18nBEdMi+nG4Xssh9DWtibyqKtLRZKqNnWDovGYdU4rFuX6uycK4XOelHh\nYFHhoK0S/cqmm3DeTdj08jlMAee9EGSe91LTZ/IhCZpVK/V7NoPHeZ/palaNw2702HQTNr3Hpheh\ntKhtosmpneSFyL+NVvbMbje65zJYIitJzppkyXDulWzKkw+JLJQCJgRxt7Jvuym7TsW9G2duWcJ+\nOy8USjsvTNH8670wgNMl102TjouQGKUHpVKyxug4Nmmssi4OXb0h5qqrHJtJwKpFPWpKAJ+dcVgg\nJ3XSm1AqjY+LgZn997B/D2pf//VfD1e4NNlu3bqFP/uzP8Ob3/xm/PIv/zL+6I/+CH/8x3/8wPM9\ntLvsF37hF/D+978f4zjiTW96E778y78cP/ADPwBrLV796lfjne98JwDgV3/1V/Erv/IrqOsab33r\nW/Hcc8898NxJ0wgxCYZG4aGNJkrVhRVDEjpqTSyLK1QlefBIDRBqHdlC4oRI1wctIfql870FAK3i\nfAcfsKjIzExyyohFZQBF17SVFFVb1Ywvycm2g3AkrRqL88HjQJPLGkdrRCZ644TwsjIGjcJVQ4zY\njsJYO0wRy8YKZBNqqQQk/3Ljssa9GTwOG4dllWMD3RRw0Dh0yotGduZF5RLpYeelIFU3yX1uJw8L\nYFVX2I6Tskf7lEjnjMFmmlBbi3U1H2Ln44TDupYkzcphO044VO42Hm8MsKrdDMp+rgzXAHA2TjjS\nfWnh7UaPRV2rxSGCadU6WWi0XDKQE0GbymLRZDKYTT8lDjAikyYvSsaycTDGpGJm60WVSgCUVk1p\n0VJrf+KwwSdPezx51OKTp30qQRCiJHECwsUm55Jn3w0+HffEYYOb5wNWrcOd3YDjZaVkouIHX9TC\nTt2oVXPtoMH1wybNoZc2Q7JCeF9kPyBTMK0QWhwxAq1yfzElgMfQCuOYkmRPEURNZRNEP0ZBYTaV\nxarOC9a6cTOLaaHXAYDaAdtRkqzXlRBpHtVVcofx3iKESTzEiMOmTq5TWqYhCou0NSbxAa7qCr33\nWNV5PAYVmv3k0VYujcnR57gWRwjdbCHGlHZAxmkfpTghrSe6kPnb42ifDVqZk5MTvOIVr8ArX/lK\nAMBXfdVX4S//8i/x2te+9r7HPZSQ+cAHPoA//dM/xXvf+15st1v80i/9En7iJ34Cb3vb2/Ca17wG\n73znO/G7v/u7+NIv/VK85z3vwW/8xm+g6zq88Y1vxFd+5Veiruv7np8atjU5N0Emv82U3JN8xoiZ\ngCgXE6sLAwXMMHk0lZu5RACkwD//PLQaZvKzcKDkhdkHYZDdadU9sh8vaxE0MUo2MUn/tmqx+CDB\nyEUtAoOVO7djwKI2GCdlutXJ3U0hBVAZMLfGYFWbxCy9G4K687JLbKPbRi+5Ao0zWNVWrQTZxxqh\n+j9X4WOMkcW6EqthoUSbR42w6C6c7tsK4eVOK4NuxgkHTY3zYYQxBgd1hVXlYCDCZl0J1X+EsFLL\npBRhta5lYV/Vch5jJJhLpt6DpoIz8nk+CRPEYV3hdBTCy8aJgGWl1NEHrFoZ1ptOKh1SMYnF+AgR\nGEafLN9VK4KjqSxiyHk0gCz61oi2e7SscdYJaSUFHDP5ncljSoL1ch0KmCePWnQUMiHHDO9sx0RT\nZI3B8arGi2cDrh+2+PjtDi+/ssAwBVw/aLAbPa4ftnjxtMdCq5Y+ddymBbufAm5vxkz8edCAuTwU\nYglRiCxYRPnKShiFMZv0BZMoM3vAqHOB5JJ0OVl154lCJCCQtrIyZlToOIggijrNxiCVYQFRRlZV\nhbNhvCvwHyJwqNVg7/RjwR6teVwx4kCF00bJYE+HEatalBnmwJCeqa1kPaGAoRKQ4r7I7uQSVl6Z\nXCpkUGJQCtDGKUXNYxIGnwk8wX4k5emnn8Z2u8XHPvYxPP300/jQhz6E17/+9Q88z0MJmT/4gz/A\nF37hF+K7v/u7sdls8Pa3vx3ve9/78JrXvAYA8NVf/dX4wz/8Q1hr8eyzz6KqKhwcHOCZZ57BX/3V\nX+GLv/iL73t+ZvobmyctkUDeB6B28D7Cuzxxkg+4YFANiMkCIvdVmcXNwD9jOAVRLbxByuD2EUIO\nqWwBU0GVPvkIXwnUepgilrXyewXhIBtDxAKqQavQqV1Mi8DgI1YQAVI7p+41tbIgWmfrkNx0pe+4\nnyLWDdD7iFqfY5gCauuSe4LoMmdk0Rx8UAFMpmdxtx00cpHehzRBFpU8U2yUskfdZUct1BUhDNGd\nDziAsFNbGCyrmBI0pT6OrGhW4069D3AahwGQWJkTz5q6MiJk4YmGk1bDqnWFfvIpn8IYgxVcKjbH\nydF5jyZIYiLjSZXGeIg6o0a4qJHoZGShkOOsQSqZzIV33FuAS+JEY5AWI2tE0FXOoB99UpDGSdh5\nu8GrJp2LuBkDLEYptWyNxHB8EESfU1ddW9mE8OuVxXiYgpZ6psuKiyESBJfBcYlhZbqUjODLAXNu\n249llsAJvrvBSw0Wya8KaGAT2aTX340B6mjUmnDpWQcfEnv6GAKWhiUGYho/ZUyGcRi2Qd2+jJNy\nrVjCJbTlshhrgyfwXJU241CrgGshQJOqEDCjCmfJ8pf+ELYHXScic7yKfC11rE0hwtztdfqcaVx7\nf/u3fxu73Q5veMMb8OM//uN429veBgD4si/7MnzN13zNA8/zUELm1q1beP755/Hud78bH/vYx/Bd\n3/VdCEXFyPV6jfPzc2w2GxweHqbtq9UKZ2dnDzx/GZAvs5b5W5o8xhRmdGYi5v7WEoOfXVD3v+4c\nYZIXjsKVpvswz64MFNIisgaZ6kLNd8HMy6LOwUg/d4gZ879/j+VXW/QLfckAs9Mxw/cn1gFjUkJY\njIL5J9Mst5UlFZgB7YxJAph9EFFq6LkkMkstlEF4BmercgFGflYgsx2kPjf5nqvUL7m/UuA/MiOb\nJYdzX5c0HolBgK9j7z0yl6F8Hqsvl8exL8WykcWJFk7U/1FxIc8XD2TQvi7+xkkWZB9iOs8+qKV2\nNllcjJM0JXOAfjLGQqsr6rm4zxwHlnNUyjkSKHRiptXhM+cDs8t1n4k4RKCBTX1vjE0sDxzffA8C\nCnFgTg7fUVmig2NN2AOQ+NooZyKEmJTvXDL1ndI0mZSkSWBApfFMsg7UtszCF2Foi+tV+qySNCyI\nzX1LhkmiZe/yvDEKGtIa3FV++lG2x+0te/nLX56C/t/8zd+ctr/2ta/F+973vk/pXA8lZE5OTvCq\nV70KVVXhla98Jdq2xQsvvJB+32w2ODo6wsHBAc7Pz+/a/qCW4JjFRI/IwXeghEvmBTt/xoSoAZCC\ndoSRcsTSokkZ2nGOCglRs6Eh2jSTLuXasl/Fl8QiAAAgAElEQVSyjmI+T4hqjcU5TNWpNVQuRCUX\nVn4mtd5M3sbnsMiLb4YMa5C1sOCYOBogCLPghGuLv9EdB2QLDypYSubnUDwbTLYIYOY5F7QEjYnJ\nTcQSA+wDq3XdpQBcmd9UvE/9nZop0UEwmbut7C8BUOTzcLsxGVqdxg5KwTDPjC/HSYhimUZdCzk2\nQtHf+43LZjn3RSEKuayAvieOhWHSMRMKOHLI+UFUqPi88sl7RTpvCdulKyyzMBvMxYcKUL3ZYr3P\ni3/M/WWLecXse74v6fMMUol6ny6aGQ8gIe8U5rP+QUzjms9Q7leen/1AJZPzkO+NYIQMmc9IOD4L\nVeEcm9W5Vuxniu8JOfaAVZ3WSyj6MvKBHkN7XEmej6M9FLrs2Wefxe///u8DAF544QXsdjt8xVd8\nBT7wgQ8AAH7v934Pzz77LL7kS74EH/rQhzAMA87OzvCRj3wEr371gwvmlJYMMfjphmktJA1btifh\noG+ZkOTS1Cfv00WNFkp5Tm4zqkFTiyO/VNBzkqsrQattwXdlJRBP7qraMWlPJivjNNS4hO8oo88I\n9wSoUWdoclspJFo1W2vkuhYmFV1Lv0Fh00YRRTbzmVFrBlQjU0siRokPlTkGrWrz4nqSGE9byba2\nsgpOMEm4kHuLVggtsBCBhtQgVgRL4ywaZfBtrJyrSlZVRONcilctnENbObS6H62uxuUEXpac5hgo\nrRyrFkOlfyEi8YBVVsYO92ZfMshNWDQXNDI5hKisDUpfNEwBS616yeqX3eAx+ZDgyKu2wrJx8ldb\n/ZTv4gJzGm+RgPmylhjjshbgAsEDjbqriCZb6LkmZZUOFNw6R7wu0EnxQqkkxcTwTCsu6f5G+q5E\npPGd106SMnksx+xC35uzBovKzeDvrZOCejyWY2vpJI63cA6LyqF18resHBYFmGThHBbOYam/NXo+\nQIRbo/RGjVqLC2dRW0nAbJxNUH7C7FlinXNA9rWpL2T+24TGZOy40XQHWjTitZhbfY+yGfPwf5/p\n9lCWzHPPPYc/+ZM/wetf/3rEGPGjP/qjePnLX44f/uEfxjiOeNWrXoXXve51MMbgzW9+M970pjch\nxoi3ve1tD8wO/fu2v09nPS4ERqn9Xfy7yVKv3HafVvKp3XWtB7T7DeRPZZCXgb6LjtsPBF506v1t\n+9/pRvt02r5mnq719zwtj6ZLLH2/x/7lu4sXXFoUVl3B6YZMB5daP2YL+uwaekMG8+egZW5VIZCx\nlY/h17v6XTXpfL3ifu/xnPvtov7cp7PZ3+9e4zzte9/r3f0r59q+MnnPc2BuuSXS2/sfds8m1s/l\nsxoel/B6HO1SJmP+F//r/5P+7dU/IJn6OZFKJlgmHAQIzxSfN5AnGuMeF70Yns+p9koLyBioVpyT\nNGutb8MWosRYnJF8mdZJALCEIQMSYCT8WO5L6mDUapkMkyDOSgsqnd8wn8QkpuWTZZUg01G1zhx3\nytdIz1ig4pYKbbZqofVTSLBn8V1neDNrg0yad9ArlJkB+oWz+rw2IXUAIS9kLkNtbVHEymDnPdaV\nwElbLRdNCDQ11NK8Jv8T4aXGENVW6bWMJttFnCzrpAnzfROyyzFBNBWZlNlPtCzKcUNrhfuSSYGI\nRWD+O6HPxhQQ5qMWmy6Xp+41JyeEmK53vKqF+FXHN8fLzfMBBwqXXrUOm97jeFnhznbE0bJG5STP\niqg4Qpi7UYAuEcDpbpy5XEsIMxFznB9lXkyj1ik9A2Ui7r73iMKTfcTxw1LGnJ9iwZcB+nnidIwx\noc1qJ8hI1sEphWVAznGprU0utKBjx8eYSpU7Y+FjLhVNPjSOEwAziP6icgndmp4vXVssQGuym84W\nbuP5fpmI9b997efjUbdf+H8/+tDH/ndf8ejv537tUiZjssXI2EamrdgfyJxA/ON+bCWdSEaq5b8I\n+oDLOE8RaEwDKM4Wr/KcZcbvRf76PTCSxA5CnMVjuJ33V37n/vn4mJIMpwuedbrgHlikaabRxpyH\n5IuJUcZa+BmL+ySvE5E2fCd0Hcj9sdpm2dekkinQeUX5aQCpkBxN+xiR6uaI5WESb1gZjJ1iSAtd\nSgZM7zsn7paLadn2GZk59kLMFoM1LBGd3x9RaqkCZ8gJipP+MVmRiZ+TDxj1b/IhgQFqZ7VcgCgO\now/pky44nq9ymtTK30Oub5S4zazRewnpXsgQznsl0wCfg//OwjrOBDf7sxyftLbYRxxbOaE1v0su\n0HxHfH9sQhIb0jvlOQ2K9wCjpcpjcm3JZ3Zv0z1oDbP+zSymV143FGMYyGvCvoVb9kMsxlREYTnu\nzZ3Lp8J/5tul5C4rF3gG59JCAZMWAiAPKACwMRfFYiJfjFmAlAPkrmuBAU5qXlmgED2Ut8uwKxer\ncpFiS3xhIWtuWQvKwUUKoZzoJb9RO2OGfD5vsXAX/ROKZy0boaulrMvPxnvIWlmA5DAQuccMZ+5b\nsiWXQrykHQnsE5cna56c+xO6ABrwvfP9gX2XH2oOaZVOTywR7L+Y+7yUuby+dlvSypNgx93B5/K9\nlgFpnt9EwMSoZJMoxl2GwmYFJtO6SCloMwMFhNn+SCi/kletTIakZZGUsZhrywBz8AuQAQEhEsJP\nMEsev+Vzz/ssg1Lu15KlsLedfTt7d8X+BCnEeLH7L93gnjuRAgjKDG6Rx0VZskDcjsjvrbwHuiOR\n58ZFbf8ZPlvtsxFbedh2KYXMp9ruFXsp4bH3aqXm/qBGLemi694rprK/jQPYmmxGiuCJd53jIuj1\nRbfKha10lZWLXTrf3nHl4kv4MPcr+2T/mahN8t7LW6KgZE7B/u0mH3np9kS2gMQFOr8g65WIYMjv\nNCCmjOwyzsP7iygWoL37N2a+YNzLlVrSiXAhnO+TXY90O/H56K7LvHMZ1gsVKgYZpEJBw++ihcd0\nntKlmyH7mSqH10xjKSKDXwzh9VpFEzHds7zDXA7AzvqS1mKm8C8X7nu1fagzir42erAtRkfqXxgQ\n8ne/2J0FZgg2ufP5+fbjMRetEyUUueT+K4/JaDXo+0KqblquH/N4Fbfd8xE+rfbZyPh/2HYphczE\nWu/OolG/NXMOdt2E1aLCrp+waCuljclkj20ltb13g5AILhuHfvRoa4dNP2HZVHeRIFL7TnQXUKp2\nPXdQ9mO6qHaTRwgRh5r9vWwqtLXFWT/hUPmmSBsy+YCD1uHObkqVE9eNS7Qvd3Yex0uH084LTYyX\nWEuI4pfe9AHrVvY918zzo4XDYetwazvhyqrCnc6jdlKbvBvkPHc6nxIIG6U4P2yd8IuNcg0AWDcW\nL24mPLGuYIzBrd2UmAyOFxVubEZcX9fwMWJdO7y4GfHkQQNngDv9hJNFjZd2I64ta9zcjQCAK4sK\nB0oB89JuwMlC/m0g2fqMw9wZRlxpa0xRasTfGUYYSA34zSQZ/UdNDWctjpoat/oBAHBt0eLFXS/v\nW2nkry5a9KPwVx0vahhjcGPT42RRo6ks+lHsMvJ8TT6iG6c0Fg4WwgfW1g5D6XIyBne2Y+rL64cN\nXjofcPWgSXQybRGroxAgWnA7eJysanz8docnDlvUVZvGUTeKbfnJ0x6jljywRmI0f/viBv/06hIf\n+eQGzzyxxqafcP2wxZ3tiCePWvzHmzssaovzbsIrrq/QjwH/5GSBlzYDbm3GFJN5+tpS3JFFSQVg\nDr2nxQVka3PTS+IrLW/SOCUewOQCFF4y8rQxRuesQauJp+eDMDmsasngv7JokkA56ydERFTGog8e\nx62MlVvdgKOmxs3dkAQtkCHM1xcLAMALu05iZZqnxxjNcSsAo5e6HsdNjZvdgOOmxkv9kJBko8a+\nVnWF02HEYS1UNozLCPmmT3kyzKsivxkFkAGwGadELSP3YdD5kOKUj7p9DsmYyxn4/9r/5Y/ADH6v\nzs2mcUnQlGypBjlWUFmbaCHoMqB/OxZaXdmofRKiSO3OGC0BW3xvNfCcAuM+pEWrG4MKtBxcB6AL\njVDHlNrHdgwK2zQ4HwIOWwbk8z5MEGQgt6kkCH60cNiOAQeNBN4XldU4gZafDfMES/62HeU6ttBE\nSYtDYs0EDIAERBfOYjcFLCv5XNUO29HDGKH22I4e61qEY1vAU89H4S5bal0Paowb5SrrlC1gO3kc\n1hW2k8dBXSXBb5I1JM+wGSccNw2MAU6HEceKUmQ56s004fqqBZDdUYRmjypojUHKrG8qO4Mpn3cT\nDpfVzKXJhbhVmHCMUbjL2grdSO6ynJxJOhIAaZw+cdjgvBcushfPBvSjBOl9KAL/GsTnGL2zHXG8\nqvGxm1s8edTi5vmAdVth0084Xta4vR3x1Mki1QW6eT6grWWRf+KwSVZEBPDCnX7mCuMiyT4md1mM\nObgfI7BsXFK8DJCEIPnZyoA9+3wfFMNn3fcWkOKHcHDeWwRw3gt1EMfZYu93zovNOKniU2n8Jbtz\nQ4w4G6X84MI5dIlUdcLCucIFK+fcjlOinFnXFQbvZyXJec4yzkPhTCYR9mt6xqIy7eMI/P+bD/7H\nhz72v/nyVzzCO3lwu5SWjPcRxojroK6zJWOtwa6bsFxU6GjJxJwtHGMmziwtGWrz5aAHsouE+S1Q\nWnwRTDbRR/gwpynvxmlmySxqyU3Y9ooCGkpLJgoJZu9TIavSkjntPI4WDme9kGjuvE+YfmeB3RCw\nbP5/9t4u1LblLBt8qmr8zDnXWvvvnGNiND/2R2zRFsWkRbRje2FQMDcqhiQQoe+8VUS9UBIRCYRu\n0ogGL7wIHZGjDQoSECGosdtc+GljRAK5+Pw+2yQak3P22mut+TN+qqov3vept8Zca59zPNkr7NNm\nbBZz7jnGqFGjRo16/573eeX/u1FQL6ergNPO43wfcW8dFpbMbhLSTloyFLKrxolQUmbmXvN11q3H\nw/2M++sG3kEtKo+rKeFOH8q+BHnxX9xNeGYjlgJ5zWjRnB/EkrnbNyIwIBrp3b6VBQkimOaUsQ6h\nkGXGnHHSiDYppIYBV6O0ddo2CN7jrGvxaBzh4HC3b/FwGJCy5Dc4ONzrW6FUiQlnfYMA4OFuxFnf\naA6JCRcRuhn7Qyz5VierBtshom885mx5Nc45XO7Nkrl/0uHRbsK9k7a4v/pKYHGB5zwcY8Izp0J2\n+exZX7k0jabmhavxmiXzzy/s8MZnNvgvX7oqlszr7q7waDfhG++t8M8v7rFuPS4PM96slszd+yuc\n76aFJfNN91dLAYIa4GJ5MjWyLAPY6WJPJYzCgO9AYUVX2hsyRNclE9ad0BtthwkeUsJgNwn3nY4C\ndmMswm9KCad9g5wzLocZp12Dh4dxGUtMIlCeUWvoK/uhWDcZmneWxWIGgIfDiLO2xfmon8OITvNx\npICax4kKmNO2wUFRj7MCV1jziChGku0Kcs2V2lSHWQQZhSfRmLdnybx2TJmnUsjwxY8xY1LSxL5v\nME0JfR8wTlFdZblopwDQNh7DOKNrA/pWGHgPkzCsTnNCr+6rWqsSUrtUEvGopaUs/n6LbVgAVRLr\n5AU56UX7vRoiTvuAy8OMs1VToJTr1uN8P+PeWoggV43wNtF9dmdlbq+UZdFn96Yo0OarIcI5h5PO\nXvTzIeLZTaNWkAjiKQmMepxz+Q3KRRpTxle2Mx5sGpz1NkHPDxH31+LiA4C76wZzFPLPi0H2navg\neTTMeLBp8eJe6qPcX7d4eJhxf9Xg0TDh3qotKJ0X9iO6IIv/nM298JX9iPurDo/GCXfVBXa3a/Hi\nOOJBL5bKnMTdwTHMOeMr+xHPrnt4OHx5P+Ab1uIucfqyPxxGvP50ja7xOEyyQNzfdEgpq5tUxmNf\nKQCb3oilXtgOeOakL5p9TBmjIt9OV/KabPqmWBkXe1mE62Tf2pLh4vzcWaeuMvk8ZmF2DgWOTNbe\nC3WJ/ZcvXeE/ve4U/+3LW2y6gBcuR3GlfWWHNz5YF7LM//eFHbrG4+rhjG+40+NbntuUOfRfv7xd\nvFskTaWbWBBsvoA4KIB4zyyPsJ9SETYxGkSaTNbjnMoYc75dHmas24C76i6dU8adVYthEsESc8am\no5UI9PB4cT8iI8scGcy1VltjGaK8xJzx7Lo3IZNRGAReOIxwAO72Ha50rj0aJ1V4NH4TBHnGuXg+\njLjbdwV+750rlhSvwZIAMUlBvtZ7xCRkslNFfnjQ1IBDPIKW/gfcnkp32f/8kb8qwUxuOQMhOAxD\nRN8HTFNCqwsykVcZVW7KLFpqrw+/a3yxaGpLpjb9LYtX3B0hGE9RXW9jUIbgjbpNes0sH6aETS8a\nXc5Clx7VnbUdo+VHtMbltNUYCssBMEcCwCKHBhAiRe8cvuGshQdwOUTcVddZGyTrWNxnUiOG5nqr\nrjZqYVaOQCyBR0PEvZXENrYjmaTF4qKlBYgLjULJAeUYWjQXoyy8d7qmwJkvxwlnncVk6MduvOS+\n1OUBdnOEQ8XCDKF89xobIUvzWdviQi0d5jKdtY1wg8VUFq6Lw4zTvin5UwBdoLIIkviSz4rzo2YS\ndg7YDmIVTnPCnU2Ly70IGroA+9aXecPf6K5MWeq8vHA14tmzbuHqZfzjYj9fs2Qe7Sa87u4K//zC\nrlgyJyrkzlYNvnh+KJbMG5/ZFNLN7TAXSybljNffW1WIthpSvrRkalRbhri6AItbFrhvMgg3AIVq\nm6u45oAjK/F+jCV2dZhiYckGUEhCvSoXZDDYjjPWjbAnF6EAg7Tf1Tn1cBBhQ1cVCwmShPNinHCi\n8b6TpsHlNKHztGRSyebfzRErzdsiEwVh/YLys2dbp1BwTEetjURr0TtXCu399Nvf+NIL3qvY/o+/\n+edXfe5t9OeltqfSkmHcI2fTYEgnEyrfNQkyKSU5AWSC+8X/c15i+AFBiHiHxUvEhQJYIqics/hA\n433Jm6FLJWWUl4qaIRcTKRgmxIVR25EQSF7EULwzWhluLCBF2g6vsQrSudBPTpdhTVZpNBhOtdas\ncSATzDGL9SMWg8Z9HAqdTN/YIhNzlvrnWWCinfad7odVsLgS6YC6EBZIH6vBIUFaSeK0ZE7+a9Un\nLomwwo5LgTIlif/wPr3mQKy8AzF0YjX68nwLizBQ5kIbfInT8bmJQlHPFY3fOMBB68crxQvng1Ph\nzxrvzglGK6UsiZZRlA8yJHekxlFre9MHzNGE27oNmHuxwDZdKAJGPgN2oxQyW3cBsYp9bLXAmRRV\nkznPRTzpjZM7jfBpMlEz+E8hc0yQSYF4TNUkz1tpZRqjIKoVuFIKgd/Lc8hH55jLjhQz6xAWuW+0\nVPjbSoE+5LqjNUiOt14pZjg3+xCEoh8Z3oVS6ZaCpcw7KpzZoPnHW63Utrre5CJ8JJH6trbXErrs\nqUzGTHwJgAJp5SSb1TUWNXGstsMyUPI3pjkV7WYulPLpGgS4JERSo6u0PgYT+VIy+DdpAh2gAVH1\n0UopWwk0E3Uj7gbRgllhMWYb+HE2l5/QplsyX84oiXw8dtDKkc65gk4aZlKSK0V+Fvr/IYrVMlSl\nfRmT4TWcE4uEeUWHSYguWcHwMKWFNrsfU0HaHKLsG/TY/Zyw1/4xge6glTLp46YACk5o2slL5p0w\nG4xaSndMghSLKWkBKGCIEcMsVsVhnnGYZwyzHOfhCl9YVhfnfo6WNJoMQUXlg8+R1UunOVVklaa8\nDFMsAsI7KA2/CfBWFQgqAsLn5dBrGeUmiABog8emC+hb+WRmuFSxnMvffoyVYImVgOH/RfDs9M9i\nf8IKsBtjaZNcaKvGKmN2zbIyZs0yTd4xy8ux4H+d88X9nEfChpBKsulclaVgEmrKyzo1fC9oDbEU\ndPBOq61KZcz9XFXHnKNm8+txWkH1MM/Yz1IpdYxJOe9kjjmdq95Jxdcp8V2LiCoMWC5csv1RLJ1Z\n52NdBnoBa8/y3s1H6wePu63NfRV/X+vtqXSX/dD//lcL8xwQCwbAAiVWu9MAc8UEV+VIaDsU/LUG\nQItJfkeZuNS66C7jb6y2SbcCtbk6x4FaHi0MmYBGcVJrWySo5G9E7tByKtpb9Zt3Dvc3TfGVF/LP\no3vhOfxk4HqlBIuE2MZkKBkODUk9AdEcPURLJ2xV+mF5BXQjcMy7wNLMtKqM5mdSdwQFEWHIfMnl\nXiooaPDwYBlqX6y4+lj2+4wAg2ru1KgtoLKMK+EGWE2bOreiXiQoqOrAPWcSaX1qWplGA9DPnHbY\njwLMmFPGoK7NmKFuU1cgwSQL7YLVhQHk2Z2QVmbT4nw7lsD6xX5WuLDAme+pq40lDIp1UnkEHkcr\nU1fGPB4vtnOM0My5SjrOS0aMY5AAgSg3teHccoGuxz9VKxTfPcBQpXNO5Xf2g6wQRTnNqZxfM0E4\nyJz01TtZBEjpX9XXuh/VccfHsM85Z7z/FtxTv/f/fP5Vn/u+7/nmJ9iTl9+eSncZ0WVB3RmAocum\nKRYQQKfaIOtxUMAAYk04B8HqK7yWRaMAEzpclJK6rwTKkgH4EhcShJZN8EmtKPJKrdoA7x1GrdY5\nTElfAKvNvhtiWajXnS/1Y/YKGNhPwrxUc581XjjRGD8Rq0fddMHhSuMl25ExGQn+b1ovMRmP4iKj\nJktLhlxqXeNwuU94sBbW26shAp3HYco46z0u9wn31gGsf/JwN+OZjUCNd1PEadfgYphxb9Xg/DAv\ntHsH4GKYcUeBBh4icCb1hRO+TDfFdp41JgOLyaAR+HbwuByl/bOuxaNBYjJEl93pWqkxHxNOu0ah\nzpK3xJhMzgIOcbCYDBe8dRdwmCQmQ+FUYNfDXIT03U2Ly/2sMRmUWIMlVspvjMnshhmbXkomP3vW\nl/gdoFQ6+ebKmESR/bev7PCWZzfYjRF31g3OtyPunXT45xd2GOaEy73kyYxzEgGzn3GuQgYA3nB/\nvXCFAUBual42Y0gIPpTFkuWl61wyONIJPT4mw3lyU0xm1UpM5qRvAB3b/VFMRiw8Kbe9aQMeDdNC\n2OcswuV+3yHA4cXDIDQ5egxjMoz1nQ8jTrsWuyHiTtvi0TQWpWdKCV0IBd68bkLh54sZxfqmW4zW\n3KzWUS0Ix8iKmuaeHdSiuo3t6+iyr3IjQWWMqSRmdl2DeRbBwk8KCLquglYgbHRBdaqpMSBMuvQl\nukzQIcE7OM+Au2noLKhUa1NCvy6uKyJqKMDoL7djfXF1AIBWjcXVENE2Hqd9KMg0AAXNAmggVIP4\nzgkM2WtftsOMO6sGuynhpBOBMWeUks9Eoq0ay5O53M+4swo40f55B1wOCXdXArt2zuG0l5f8pJMS\nzhRiq8bj4hBxf9PgYpA8mbt9g6txxp2+wXaMuKeIJAcpi9sFjzt9s9D+LscJd7q25CRc6P8vpwln\nbVusr7O2Rf0enQ8T7vUtHBzOhwkPNNmOwfnLacJzbY/T0JQgOlFNw5TQEzyhAe2uESp8XuNiLyWV\nGVtLWeZfzrk8u1Ur1sTZWtxXwM15MiX7PwlB5pcvBjxz1uHLFwMGJY1M2XKSiC7jgn6xn/F6hSm/\n8cEaXzw/YNMFPNyOuFfBm/ea6Pmv54diyTx31uObH6zLHP78i/sSZ+HcpsD16iKkoKnzZIi8ozAZ\n1JXYNh4xWsG6VeuAVvjWNjp3qNlTASNSLWVB6tFlRugz+9ZlgS4DwEknCpyhwZbWwuU4C4Kw7wTI\nAHNnxZzxaJjgHXCna7GfI+7qnLvTteVd7oIAh1gi/HKacdqKoGm8lAHgFKT7nOSZKWfMGQVgsWqC\nEnAC4LqjCtV/9O2pFDLcnHMIVRS8riVTu0UWbi8NcothckSnkfPiWJ5LBBmvaW1CYxWKHMKyFgzb\npnuEQABAA3+en37haiGjc+Ml6NjoZF8GUwHAqkAuKWzkBSFggMYXR6pmnU76e/BYuPvYzz4YaMFX\n95OLu0+BBV7q18SUS1JohgT/U84FBADIYrsKHkGDqUxsE1daUE3f6/liMXYKpkjZ6FSQLd+k1zFi\njRC6Pxqw4qEHeeyCd/BFO3dFCAAooIxCecMFpzF2an4674RuhcfnXAQEUWoUMrReuA5Si+8bj1mF\n+kqFGq0lwn9JdknQgOSXCMpvP8VSZ4YW1zBbPZrL/SR1ZZRYc9VJUmaBGDPPLFcuK28uIXPjAiFZ\nkiTfoRqEkryBSeoES85dWkSMo9ZjxDFN1TznNep3mdn49Vjf5J7rVKCnbPBiunZzNgs36dygtRyz\n8ZlxrtOyIfCkUebw4vKCrkVYUj25ynMC2Bog46zlzW/J4ngqg+mP2Z7KvlKbijFhmiJmpXGpg/6A\nkQLGKPt4DH3LAAp2ncF/CUSm8jnHfC3gK4y0Euyfk+2bk4EJnLO2Y8oYJrEEqKWJ+S99OGi9djlP\nYMWHKeIwJcmsV+16qq+frM75fko4aEBbAtYZ21HaZPCf5+ecS9C+9o+PswSYp5jV5JdrbEcNsE4J\nu4ljJdfdjWJF7saEMWZc6bHbIWGr7pTtmDSTPxUNfk4Zl2PEXgPkU0rlbzvNmJMEawFgN0dMKWOn\n/+f1GfOJSQLC22ku476dZ3HHOJZXdtjNs8JrJRhMuHdMWfNmZFEZpoihmiNcvrYKv5Z4hXyOcyrP\nVZ6pw76Me8R+lCD7bojYDfMigH91sP9fHWbElHF1kO+X+xmX1SefIRffy4O4DS8Vgn15mMvfxV7O\na4MkiZ6tBVJ9ofuvDjNOV0JztO5COe+q+tsOM7b8HOQ+7F5m7JQWiUH7OUosaZhiCe4vgBTq6nLO\n7iGrpZ9y5ZlIBMjkAoKhC4rvxm6K2Om8KXT9nnByLbvhBXK8mySfpS4uRlbm/RyxjxHBAYcYEbzH\nIUY0rlJaVSk5zGKZDzonxhhLIB+wAH/MGZMCAWadl/WaIG47URzHGAWAdEuWDAX5q/n7Wm9PZeD/\nf/pf/68yoerNe4dxnNF1DaYpFjaA+jiO4TSJv53Z3l0TMM4RXWMukgIUqCykEkj3grbhC0Lrgyik\nmDI2faPw0SA++5jQ6/Visoz/Xn3RrKobNusAACAASURBVM0i0FV9qZQlgC6dSevS8F7mlEvezJQE\nOvzcqbiStmPEWR+wY0yG2mzjsJtSQZORvoba51Bdo2t8ybdxKkA2nSQ0nnQBj4aIu73FsS4OwjLg\nnLjxTruAi2HG3b7BpQqes07Gw0H41k67UCY3QQ+NuylPRlkaQsA+SlubJqBx8hx2k8RkTtoGl+Ms\nlpAXV+Fp26IPXnjRNFn2cpAcCQafM5b5K1MVk+nbsKh/UjMZ78dYxvJsJa6y01VTXHW0EPlMnTML\nDBCX6cPthPsnbdHkixUAcWOSkcA5y5P5hjs9Pv/iHm98ZoNB3bGXKkT+9fyAlVoyb3nuBIcpIrgq\nT0bv4/X3VkVg0HxhCQPAgv2EANNyGFTw0RLhWKSMEtMCLD7JmFbSYL/3hlKjEtW3wiNYJ20eplQs\nJ4GHk7FD+AavhnkRk6Fb7E7Jk5kQU7KYjBOLeNM0SBD37EkrycJ0z/YaO4k56/xxJSbDPDXCouck\nnHd1WQnmxsi4GTKSlgxjOARV3Eag/f/8uy++6nN/6rvf8AR78vLbU+0uo0UDGILrODmMx9l3FAHl\nnJm69Tk8nHXu/71ilrkUFEx0oXm+kLBcF2pwdLUZmglovKFvTPBdvxZfsprLKyaLFVHTA8y9QbdG\nzclmlB9V3koy3iWi63h+guSu0A0RM/sLOKekoerWoGuF7kW2W7uqHFB82kSIFf4ndaupS7u4Geja\niBX6rC59YHlKSkOEyt3ifTUHqJFaX8h0DOcKDF3GZcneTYgvLcnyHbJwx5SRVON2xSUrVuWmC+pi\nlIVtrGIgzBkhjxrBLV3wuiALEIHca+OcStJo33qsGo+xNUALCT77NhZ3mUC6Tah4nY+xEhZOX4Ka\nJHOZJ4PKjWZjAkg+kHO5uAsjx8HZPGLOWvle3sOs/aSAtks2lZt0IWTysv5S7z2iPv8EmTd0nQFA\n5wMcXMmx6oNHcOIO8zmpy07mSs7qdmV/ADhN3Kxfy9p13ThzkxMtWvYdv8xPcPt64P+r3AS2LOiy\nsqjGhBA85jmhaTzmOSIEeTGbikSPmuk0Ra1FLjQYwQtggBo2YAmfrLdSb6rvis/fAfDiswZEA445\ni3WkbqLGS8Z/uzJLRgpsJTShwTjPyPCaP2CL7zBHdE2DnfZtFOkDwGDHDBAPmnvARXY/RUHszEkr\nWnpBoHWSQ1O4y5IDWqlrPqWM/ZiQW7n+uvXYjwkbtSgOc4J30mbXCOpt1YbCHLCfIs56eWG3h4RV\nEOtn3QRsh6TxIlc0+e0Y0a5EItMFJvQ3HttpRteHkpB5paSGTq0caoRZ3SFX6jJb9QGP1L3WeWl3\n1XcYNWfmrhdL73KaEVyLtnGFlLFrXFlcD3PUxDwI6aXS99RwXQcUgtJDjFh1PXaqjTNWV7MD8FMW\nGFeAINthxqr1WLW2aNG1uh3mQvXinOR3XB1m3L2/wtVDYV9mouWj/YR7mxZXhxlzFBfcs6ddcZP9\n28WAq4OxSz971iPnXGDLGWqxqzXjnAi/lFjZM8NnYDuRhdmsfcCEEi0gus7IeFGjyygQD1MsysNh\nigvyVubPUNE5VaDIfhJk4HZeWjIxy/qwaoSCaDfPBV1GyzblXAAD5ALczRFdECYJGlJTkvnbeo9t\nnHHatspdJjB/Ce4bBQ9jtyS/lP4sq5kuM/7zrQmapzLO8ZjtqXSXveN/+7/L96RwwaAPEFgG+QEL\nHDp1BfBY/gZUft+ja7GNuoYH/b+FqffIXUaXAheZOueCrpb6xZyjuRAIb2S+APtPbRm4PoFYVpaL\n2INNg0GFEq9vlpMr1SXrT+9QaNjzDYsGgGrBXOYmABIUpUuAsR6Wba6vLcf6wmTrYNYGIO6VusRt\nyhlrReaEo/FkW8xlYIB2zvZdiAtFG73Xd2UBp+ZNKh+jcrEAeB2zolux1lLroLSrzq1zZICb82Ro\n7Txz2mGv1EODxiGOyy+3JfCv+Vpq1exGs0iYaHln3eDRfsaq8SXIT3ff5UG4yx5qHk3OKLk20MWP\nc+84TyZnQ5fJPfmFJ4HxyoWFAyzeBVpMPITkrLSQ6BKrXW/F+tc5R+RbbeGXAHxlwdR5KnM2ShzO\nHcZC6Kmokyn5nrKEgNC/GLSeACFey+aDWYT13Khdn9zM2sp47y24y/7wM//yqs/9ie/6xifYk5ff\nnkqBWLJo54hhkL+UxDpxzmHWQF2MFuyfpqiEmhFRM9Gdk9gMgEWG/qgZ+fWnZCmnKviv4AACChQM\nwHaccxinqNZKxl4JJvcaQOYLxd9kslMLlHo3BATshrkERAERBjFL7AQAdkPEfrLA/zAnXA6yAO2m\nVF7EYZZx2ymggAIGECvo0UGC7NTWUxYIs3dicWxHjlFWeHMsn4c54WoQDe7iEPHoIPf7aJBYwKXu\na5wE6y8OEVeMZSRhIphiwqNBAv+sjXM1SpY2IaeA5Bw4OAQnGuWYIi7GSd1Qkv/CgC/dkIS0OgC7\nKWI7zgWuu53m8lx3U8TVKJZD7T57pLVqalDIYRRwBpfV4KX+SfCuBPgZVL/YT7jcy+fFXgL0j3YS\nkD/fTkJquhWG5PPtqGzJIx5ux3INar3n2wnOOTzcTjhdNXjI83YTHu3kfMmTmqv9I861vfsnHTad\nQIfP9Xeey7+Lqq8GRJgKMIFZ+4O+IwQHiGWSCjCC4yJ5aa4S5hJXoYJFS4UWz2GS8ZV3CfrOSH4M\n68/sJpk/jTeLkS7Yq2nGxSj5QJ336EOQOjZOOfOmGVfTjMb5Qni5mwUAwGfO+OCVvocElxw08L+0\noGQNGGIsAICDBv4p0KZEIEDCMAt4YrwlgszXUuD/qRUy3JZw4yVs8uXayEUDst9r6+Zx432sxb/k\ndUDt1uJBx8ljN8WPaAXx+7G2VvoCg1PXm1lP18fCOxTfcNI/sRCuX6O29Opr1Bop/eXOiWsx+CXT\nANunq6C+P96XK7+5cl1qjIwFlWP1mDK2sJgIIGSFOS/vu4aShsV1ltaJCEJ/3aJdzDP7rBX3nM0H\nzwWPrjJaquFoQQyVO42ULfW5TfAFou4cFm0wsbDRhTUcn6uW8XG7czRW8eNzHvd33K/l/Rz9ftRP\nwOJb9pz1t2oAOY/8oq3l4keUGF3Q9kyWCyT7vHifYfO0cVY4ThIpXanYSu8EPRRUVoowc67MIf7x\n/02FYGMcpiDfHvN3G5v7Kv5eyfaZz3wG73//+6/9/olPfALvfve78b73vQ8f/OAHX1FbT6WQAWrT\n2D6PBUzO1xflev9xeylXNTPy44673oeb2nqpfQCOBE2+dj26FtJj7iEtjl3e803H8Xe2+VLtXe+r\ntXHMt2R9XP5W9/9x2+IequtlHLf3+PGU4/O1tup99SegMTbcrGTkjAWpav37y32vr21zKFe/HT1z\nPZ6/pmp8F/P66ALXz8vXrsW+MK5Y9+tmcEw1h46uX9+X7cdj99+0vdTzu0l7Xigk1XF8PvUZ9emv\nRBP36j59qe3GPr1sy4/nI/ta2wcUkq/m7+W23/md38Ev//IvY5qmxe/DMOA3fuM38Lu/+7v4vd/7\nPVxeXuLP//zPX7a9pzLwP2p+RtN49Mw81sD/djthvW6w203o+1BiMIByVSk7734/CVKnazAMM7ou\n4HCQT2pXtD6CV9bgBGSHErx0LqPxwDSrb9+Jen8YZqWVkRyFVRvQtQFXwyQkhocZCQZhXncNLvdT\n8U+vuoC1pv5f7sUlcrmf0LcBh8kgy94LxJlFy66Ucv6sl/LLL2ylTs35ftbCZFJSYNMG+c0Z1f9K\nyy+Pc8LFbOWXTzuPF3aT0so4nO8jNq3AmnmN+5uAmICzPuDfLmc8dyq0LecHKRHwb1cTnjtp8G9b\nmZT3Vg3urSQw/pXtiLtrqa+Tdd8UDfp8p28KJPWR0vdvmoALDeyftg2Cc1LvY5QaIfe6Dl851EXL\ngLt9q0SKCfe1hO+XdwPu9i3WWrkzZykw5vQZPzpI9c6EjPvrDpfDrPEhiVMwmfB8PwnoIUY8s+nx\n4m7Eg023gDDXCYbeSelwB7nOM6cdXtyOePa0q6wkzbwHcLFXWhlFl91ZN/jSowHfdH+F//rlLd70\n7AaHMeIb761weZjxhvtrfP7FPVZtwL+cH/BmpZV59kyqaH7pS1elP//pdadL0s+MAmNmXCJnUtyY\nML86iOuIsZkTfQ/nmBGa2hUsLrETLV9NNutG72OcEy524v6S5FGpQMptO0g+Cd3Ldzfy7C72E077\nBg/340LQM7byYC2MD1/ZjwXCnDMK/Pi5tZQ4eOEgc+CFw4h7fYsXDyO6ilamDwH3tObMg1WPnTJR\nCJggLSDM3kkZCjKGd5ACd61zGKIAC0iiu2kbDFFKOd/Gdt0Wf3Lbm9/8ZvzWb/0WfuEXfmHxe9d1\neP7559FpVdp5ntH3/cu291QKGdasMCZm4zMjQzP/RGOrtTItMqTxjOPj2TbbrTW27MrpBaZrjzKV\ngCxZmWP1x75FIl2yXY8sri7JSyLIM+ufMd7q8c7eKvEF23ckCXSiaouJcHMUBuVZ24M3rilJGJNA\nPf8Ajf8koaTx2fovx7BvlkjH63FRMKZqa5NU6w7Sbkw6tgBcGQ+UcUnVtb260Qo7dmYNFI6zK/ed\nq/1R26CF5WALKBPpaKk5uAKF9ZlWj+1PGZBHwGOFiYAWF/vM/Tlb/kjScLSvLIBUtc3FYRFEzkvL\nolgt9X6YNVKTRAJmCd5oEavg4rUT1MJxRn6aoG5XOPjK/QvQ9Wo8bs4pGWYlLOU3Dai72r26dGex\nXVoRxX3jzH1lLlpzdSVYlj63knkPGL0+zG1KaDJdVg5YuMB4DOOIRPXRVZY5Hg6WJ6P7M+8PDkH7\n5vV8gNfC7brLbtF0euc734kvfOELN1zT4cGDBwCAj3/849jv9/j+7//+l23vqRQyzOxnXgy/M8g/\njlFBAGqJBL6g9n2eE2J0cC5i0uD4OMblJHfG5ixuBiCqnzcpPDqpNpt0lRQiTAkOt7MEQpn3Mc0J\no08lWZPaqnMCPMhKkOnhkLSfwxzRzgJ7DrNTjTuXa01KLw8odNoBhymg8VIB8zAnHGbWz0gVfX9G\ncCIQuiwwgMY5zDkXxJGMhaCeDpNc56D3IxBmp+1rhncWhNlhzvCQTPqDVqI8aBvOAcPsNaajmd3R\nKFtSZoa0BNXXTVImaleuHZwwDAACAkheRDIDrGMSa4MLu3MOY4wA5PdRxzzmhCFFOCe/5ww0SbBo\nU8oqrMV5NkcJ5jbJKTLIq2DMQmFTCW9hhEhqLVi+T4lDHSkxVCDIZMCtFj78ZOkDwJgXasr9XAnY\nIvSSsRTU0qe+tlW/NHSchyK4co3IW9aLkdwfAyWkzPjZEl1Z0JOw/y/jLlVsyle0Nv769ThXghcB\nQCECiDLhcsUX5z1cTohZBHvrPXy2/Js2eHQa55FPyZVhzLINruzrfMDkWbcowecAVqxiQnBwgIOs\nGR7AnJTNQK8dsigQzGEjCvL/L1vOGR/+8IfxT//0T/jN3/zNV3TOUylkzJIxiS2WgUCacw7F3Ofv\nBUKZVNtLGd5zfy7HLy0ZWhNQYeNLm84BPhwnStpLX2ucNTNt0bJzfYxZFDlLolgsfa4tBrNknEi2\n0h7HJTsteJZscSk0PEko5Mv1qbGrNeKDJeIlVY/5f7E2LOGQlkPK9SLHP3EblkUMuXyyzaC8beV4\nyOJLq4ovYbFkvMVLEpZxiJhk7GMywEDKpuGjOjYVy4RZ7Ev4alSNPkPnha4BxxYHLR45R65Pi6WA\nKjIFJy2UrNEE/cxsl3N4GW/g7/W2sF70P0knkcVzjk9COe54F/tmMRq1WlSqOKeuF9XYU1n++Y6I\ndVNbGPw0a0WtH/5VVhD/z8A4LRZeobaUAONMqwPnKZuyebyV/uuYu/qaMOh/CdDrMQFAcnVQ30AJ\ntExyNup/EzAO3jMtwL4b2EQt2ard29iOLbvb2G6yjH/lV34Fq9UKH/3oR19xO0+lkKm34wBmbYUc\nHyefuLbfhMorCxw+bqvzSRJs8lv7y/3c6I6gO2F5b9Bz7L7qPnos74N5MPx/TUgox6Nqp0L0OOaF\nOAS3rPRX5cZd68/xS8KcmEXftY+hOoeWobALWJs5L9vmQs1re70/r6tEfW81U4HXFc1hyZp9nI19\n7draV1ks7HjGBbho1bfdcMGg1r14hvoJswactgcuXjCaGo5LPbZEzrlsOVrBk0XBFY3fOUNr1ZYC\n9Dnn499hgi0qi2oTfMlFcQ7IyRb8elGpLYoEVzpNd5n3dl85L6+5yPnyxjhRf+dmbrEjglgiw9SS\n4uZg9C6F1UEVnOSyIgeX91Ej1Rov6MIEUUJDmVseHipIHBCgrj9VfihgnAN8PYdh85bvpowtBd7t\nCIOvYhn7d1xDLvKJT3wC+/0e3/Ed34E//MM/xNve9ja8//3vh3MOP/3TP40f/uEffsl2nkohQ82c\nD4rWiHOuiq0kpOQXQkisEWmj1CKPZsXwuz0gV84RK0cyS+SaasV4HkdkiVUNzFnqxRCCunRfZLEs\neG2N2wi81BaLOVYuELW0Et8qAhL0vxJDkM8AK54m2ddClTGljDYLz1bWejLMi2GC25wyvObCZG+J\ngAlZkxLlMyZonZMluWFWbX5K2T4zMKqrbuaCCZR2ACC7XKzD4FEIQGMCXEApxDbp9QGhoWnUwiR3\nW2pYCVQWvRQzYpDcJmZ/e0gCZ0wZjaPFZVRCc06IKQGlLnvAnHPJj/DqCnNO2slwhRCVY+JpCpR5\nC5g1o88sZTTeCFcJV3dOLVOdA0yETM7iXjkvxz9oO7mReTR7K6UcNfYyK6FlsfIqQe0dCryZlV6p\nEMh0U1edsyRdVywqE1rZVe9XWlq8tNjrd7IkVSaz8gHAOZvD8OY1cLB4LPtZ3OY5lzicc0r0WhUt\ni86Op2Ur84iJnWQH0HXBA87b/SwsSeTSRs6mgERFL3rnihVZUI6Z329XCtxm4B8AvumbvgnPP/88\nAOBd73pX+f2zn/3sv7utp1LIkGUZsMmayKIck/5lrfcB0IGhXoVynHNOj1uyNJs1lDWOYwHSnFPl\nonOAcjNxktUZ00zeFN85Ezp9WTAkEC/CkMck/Z19pq9+jglzsBgO5MplMZF7EgE0RXHzSBzB+jJr\nSQEilaaM8n8PlIVgUhCFlADQErrJAAIiGAwEMEeNX8D2O4eyoPF8usVYQVMqWhqbNK0snk+QAt1G\nBB/UDNQyFRIcfEkSjdmEUFNciLkImKiCmkIj+KSsuhmzd/DZLZ4b7ysmGeuUswpJKRkwF+FQUcur\nCeayARZMc6WLDwpOqAAFDKyrO49zoGTLFxBCrn6vgCt56SqkCy9mKFVMBZ1mP3Xhzq52JTtkZWtI\nGab768kLaxNmkc1OtPrZoQgu+6ysUWdWRJ03Uyds2vttln6dR7WwLCvFEMACIRoKmGJpTcO50hda\nrSUmlB2yT5rLpFYW98tFgeSRXSoWMvcHL6UuxDORijuucQ7Jy3g1ziG6Za7Pk9y+FpbMk9qeSiFj\n2sQyN2b5V6NwXHW8nVu3cXxOrbXUcRx5eEsyTqjpzBf6ON9DFgJXXaOOEVyPkVicgXGkvFgwFtpU\nNooK869XcY5cxwboHrEgcukHZEGs848T6nYq5JO2MWv/Z2qJ+fqxdXC6tMvjy/PU89SikuuagGVf\nRJNfvj0JGS4vE1zra1HJXjL1ikuDLR0nx6ba/8Lfj6IZXMSTux6sl+PNJSbjpSgjyFgHjpNONOdc\necY6xcpGtJaHaeyM19HNB2exCoJVdB0Fm0vZFngusuyb16ALtXkRMA7TbDEaXi/B2g/ewSVzrzZ+\n6faidczFF7AFncKluPycBf+p67OfTMbl/dC9WCfh8knRZQZIYL2gNXmtbO60xknyZKvtldpMKjyJ\nGqNrlfsDAKjA8Ln63TnkpAILwqsnycK5tOWzotQ0cfM2tq8Lma9yI7pMrAdaMmodzAlNIxUzvY+V\n0FCa7ezLcc65QqrpnCu0NOXFrF7YzBcwqQ+3sfacc0h8gZK4TVLKyowriLUmCCVJm3wh0KS233hB\nieUs7grvgJAlc0RqvidFkZlLBtBFoKCYUKg7xigULsMc0QaPcYpILAeglhBLC8eYELMWZQriRhtm\n88l7kFNLLLaDEn4OU0If5HNuxRJrgxBvTn2Gd4JsWzVCpjlFL3Q2DljNhqg5TJaT411GDg7DnAEl\n9txEXyyZwyQWVuOsTk7rHbSiAw6zqNknrdfvKJbnqskYk5RfXukYSyldQZeNKZZF2Ok4j0lQSRlA\nHzKGaHxq2ZsmfYgJTcqFbmRUNxzhunVwvVg3quHHlOCcL7RF9WJKYcm6RoUoMvpiJZPmRuaNoBCb\nYKhDlj8WV5Psp4uNcOuCInMSg5HFXvK/WmV3zkCBOgfnisKVkgEUnFPrSxUbWnG0hGj9eiduP7ri\naOnVyhEFZK20pUqY8VnVCgV/N3emgW3IvNxkCme5AFklam5BmTcm8CX+Zdd2Dos4EN1fjNU5fneA\ny8u4X82PBiyZKP6jbk+lkDErpKaREeQYYP7a2pIxq8dcZ/KSLHMI6nhPPbll4yTMiNG0SaDOsbAt\nVv2gK6MumFYspcoCkE95Qd21do4/j/bDgsrFSqi03/oF4lbvm9Ny38I6gWhgdp75sRkf4K0xduKc\nQKLpwqLrRGI75v4o44AqlybJ4qeyorTpywtrfRE/euVuS3kBfuBi1Hm6qMSytAUrlzb5PIFKkwbK\nfdRbRgayKzkPjZInBsdxU5Ra3WamlXMzNJexDmR7Nsb3ZW4nBv4brSDKcaRmT5oZMhoz1lNTxJRY\nIsz952AWs1dlpGt8ie3QUmq1DEFDpnPWH2I8UZNForoc63pGUvVVxr9tfCEebYL0ty7/IP2nZaTC\nIytZqZc26znL+Aiflew3Vy1LYPPZr7TWUx8kCbsPoSRjcpydk9+dExbnAlRIlkfUOEPHARW6Tse+\n95KgGXIoJdv77G8Nwvy1QJc9qe2pFDKMyXBy0bWVMxBjRIyiodMCydkWdgoMidcohj1mOCdxHO+v\nx3uWMRpXCZdULB1aOMnlAiCYNDY0e7lWSnkRxJ2jWjSzwnaBIojo4qtjMqbdaukCiOXD6URNWMoF\nSD+mWbOSsy1iwadFTkXITnzoSRbFGBNmWnNRSiGMaiWlnJUwNGMOuVTQTNnccIypTHVMJjJp1GJG\n3mWNyWi1UBgQAhBhwTyj7G8O/E9Hx3uHEntJGfBRtfKU0GZfxVoIBBC0EYtyeZdUE88luVXGLWmR\nKonduOI61fa8kSEy2Jzh4DS+k1XAIhnQghpxTObWBETBqDfuW7pUzc1agt/ZNHm+D6IoyMtCty9b\nz7Aqow5YuOgy1EVW5ozCnLGMwXgxd01IqgCLdIF5B0/3kVNIrzNUGbnbAKttVFsMtOzkfBHg2VWx\nD1clkAJlDChsRalwRQMhGs3Y1eXYVovbsQ8ZQAtf+NdaFS4FGadSuIFdrxYyzDWCIh55nsvqLvMO\nORsTxJPebqnZW9meSiGTNGifSyY/XWIeSV1VKSYkrfvOB5+ryUVEGYP6OWelpqkFS9ZzzOWmLYEo\nM3E5CQLNEGtJ2wwlIOuDHJeDARK8F0HQeApOpZ2vIMRzFE1yThm+cjdwExZbFZzJEGjwAgpIOch1\nvSKtkpWKZqExAPBJi4ypIJRCUyIIiEYCchFgsy7QkdfgAh9zsXrmmDAnV5gGxJ0HxOTVulmiyyJE\n25uzCD66dYgGIviAQALeM7xDyMZSfdIJ4zQgL9ucgbUKCEnStPaY1U96kCaLT5/ggkw0Yibluy7a\nPiGo958MC0TTkVoeIFln1vjH9TwZxitEsTDlobak6Q4DgKTWNxUVQypacm/wQm0Sjo5rtGRArcRA\n+5RhcSSDbaOwWORsCZte+y1aei5CzcF+rz/rZFO69TiH5zLf7DtnN89PVdvQxTtVY5NhgpnAB3mH\nq3ciZ7X4lqg5Hsvxq3OmiBalJWzKJYfOgBaBz812Q5eQ4h053hJyASU86e3rlsxXuRX3Vj2OWYKw\nAl22TwofOc8OTynBe39EQUNBweS02sWUF1pKDYF2zlxv9Utp/XACnaSGXV2rRge56hins7+mqaH2\nWguZ+qWyZExZ9FK2850zHzzvFyoYo7OCayllLdKmffSWTMmXdolmqqGpFXzbmRtLXEZZIZ/mg+eY\nFT+8M5qZ6AzBBixjG9TkF/QyzhbsemFJWYLtxS+fmXCJ6jdDXQndTS4LLjX/GuGVqzHnghcB1FZF\nVKHMeceFkkH2rNerM/h5DCc0r7F0jxqqrLZWqGjV7wfvoW7nOIFOpoFY6KwWyURcxhBIu1InbDp9\nYLQUHIgeqylmjn6Hxbzo+qyTNuucGGCJYLNjrO/8nYAFeR5MDnWlDYIu2BdWZwXMhev1ukSIicDI\nR30192uJKak1W7MbpHKsucxY0MyrguHcLSdjvnZkzNMrZOQLyltZXqBcvWTVy2jHoJwr7AC+emFN\nY5fNLV5mWjbSVh0Tcovzr39i0Zd6Hxel68fk6jrX7wmoXSO5DAe4GOqiTIERtaCmLZS2UPusweZc\nIdAWAjmX+APP57WNWcH6WIRepSVSuEhMhovbUkjSOy0y0pBu7E9MQHbWFq/h637DBF+5tjt6Pqhc\nSrA/ChAGhEVYqFZPl1p1rCy0ucQvMihQa+ulmrNcrPWe1HsmWnB1Dh/m8Rw4RviV+6jaXM7PJYrR\nL/bZLC/9Q1mp5f0AEYi5oKi4oMr9EzWZ64bkfeDc4fPVfpqAVLczTymCvVIGKw8E72NhKVTjgHJv\n9o46Z/eYq0bLnerzcaiPwyvajtfwxbM7PvaGn29bBryWLJmnsjLmG37mD4vrivkxvqSaozxBfxRU\nM7QYSzXa7/VnfXxtvbD+Bd1kIfjqN4eu8ws3R9FkimW0vD4zxGkBWT/MKpJ7XJaatiRUO7bOL7iz\nbgtJZa1R1b7uejy4P8YsgVHVpIfmegAAIABJREFUtp0zmhWeV7LNsy2uKVsAuEbk0Z8equsywDuy\n1LWz4LSHFE9bNUJ/w7owq9aXypSA5W7UmueUUmGnjimjLyWq7T5fd9otnoPsl0Aw8xUonPh/PpMp\nSvtlDGGLfNH09f8NA8c6j07bBsy/YFZ4r67c05WwTBPqa/EP49+iZl3mpX7WyEKez4z9Eq/QRZdI\nxL4NZb8Jflxrx+t8T0kC9d6ZCyxl4PX3VsjZYma7UYpwnfTCot03LNucS+lh5lQxaM+iaodRUJ1d\n4zEowhNAQSyy/3NMWpyPDOapCCpuRQlKhsaj0Gc7qeo330EKcY4B54J3TquVymffmmvYrqmfwGJ+\n8f1cyGD9rJM7v+ctd/Ckt7/43Iuv+twf+u8fPMGevPz2dFsy9fdjUZiXxwGoHr4KAWqFyDgWBHUO\nDBs0Les61NGsHNM+TeId78tH52Kxn77fpYJoPuF64tbH1G4XnpNA5lxzh/ije2I/zfKRbhcNWt1z\nPtu9HFsr/M1X91/2qbsiZxVa3t0wbig5MEULhytgAt4f6W9yhrLq1mN0fSxcdlWfGC8yK8kfjVlp\n66jRDBMiwBKOav1aPt+iCGGhP1/bjp91uR6fddWmNnxjO9faxbELzhbb4/utN1cJUrp7+CfWWIYp\nJ7WLy1xiPL9cxqGAKIBlm/noO+MlN7mSSiC/HocbrAjp9+PH6aZUhccdw+P8YlyW59Btl6tzafUt\nFqe87PptubW+Hvj/KrebJgQnPWMtdJ0B9tLU56WkmbreI9N3k1F8NtcFznWBYiSbAOCOYjJA07hr\nFkmtOS1h0lW/q83yESoqjHT9/bqxzSzuDtK01O6QWGlSosna9XI1DnW/AaVdyXZfRusi12Td9vo8\noU6RY51zElzXl5eaO2ACimtRzJYwCiiZJkS7rWM1cq5YM7TACAIAgOycgBqyuA27IBxSo9Y+4fOu\nxQDdgfXCUv9/kfyZzRXUeq9WVSh9I8SZVgz983QROVcJRUfrxZ4xtXLuD9W4ERLMfZyvfOYxmQVI\nmDORjDnnRYVMxhW0LJJo/UksKomXZLVcXUEbdo0v1g6fd+vM0pyi5HhtulBqy3BytQo/Zn5X34jF\numqDWiROGMGzuNemKP0FzMrZjwbW5/uQckavbQyTUcrYWKOMCefrnLNae7m4LwnYodVHC56JqFQE\nipDUZ1umhlq4cBbDddV8relwnvT2WnKXPZVCBjAhcGNchvuL/zovznspS+hx1s9SUB2jTK6bxfz9\n+DrHvz3OG7mMJZkgubnt6xpRPQ6AWRmEIV+/3o3deGzf+FmSDMs4La9l8aJlvk6tvXNBsrbtZozR\neEnaedz3Oo/lpvEogXq3UKjtmuyb/nZ8pZuG56ZjY6WcJFT3CwgaMgu3VVONYd3fOpazNF4MQsxr\npnpeuOVzQHUchzRlQTN5WidVP50+s4Tqt2SuJ3jGf3ShVS2/KFZThQLLFvgOTuDMAAqEuWT163wp\nrmJnaDwK7QJZ9hIT4njRTVvIQx2tW7IXqDtXYcOGhlPWhbwU5LVw5zw5VuTkHGf7KWqOJkd93vFv\ny+NuTxDcYtNPfHsqhUw+jhTDLJMUFTUWzTJwfilscs4FBh2agBgjmqZBjBEhaPp4sQ7qxdIXYkRq\nOgAUvizHx4iCvAohYJoS2lbiKfOc0bauMBY0mihGGHTOqVyHEzDGhKbxBeKcMwrJJ1/yoP59ItRE\nY5Os765xys8lN5VTKn57ChyJk0ibhDBTe2XNmq4NJQfIB7FK2iAZ5EzWc85hmCLWnVS9nKOcN04R\noZNPLjx8CRhXiFncZc6pxuqBcc7oW1fiS2MkT5TEbgDVtp2RcwIZq8aXejOyQGRsOi85OTFj08r4\nHuaEoEy7LCTHeErKEkugldV6uVdJ5lPWXb2JUZkA5pyxaQKGmNC2jS7mRjfiYPdeC1znTKM2Pi+b\n24Qh8146Z+O+nxI2fVMWQMYRWBNonBM2fUCGxVuGKZVckJNenhXr18uFDSkFWGJnziZQd2OU/JHG\nI00Zm75BTLnEL1g7aDdGTDFh3QYcpqhw9owuOKy7gGFO2I8R3jl0QWI7pytZdhrv8OJ2KhbXHBPu\nrKUy5vluwr1Ni6vDvFACafVt+g4hA+fb0YAYMEuHc/Qwzegaj90QselDYZIAoHB9iSEOU0Lf+vKc\nsrZJUAtpbmrkKQWh02dICHgRWunxitNXu72GZMxTKmToOihYf91RCYb6rxx3dExpKy/PO7aQ6uvK\nacdoMgvEA0RcLT9DcIuJzmtJjs0SEu293VANd5acHqEh4X62VceQeB3mECQNVGaYf1+QSqY11vcg\nfXMlE/yYd4xxm1ztK/d+ZG0dW2Ri05iVWdxz+iDr+0jVeEFfWOQsRcqKhZYLsICkk7x3QNyARM/V\n1kEJEKvAqFkV6sBtbRXEnKXoVBbEGhuj9VIQbfpshfuqmj83TKpC05JtX+lDNe+4UDK2dT0mVuVx\n6AKW/PU4EVFzS3r861uxmJavjrnw+IySofmCdzjkLBVeE11ry1weIhJjsWZ4D/Y8qtfZnlMyGH25\nXxD5CGHIcIYadLBFnm2w37mySOpxseduVm3GEnixfE6VlVqN2Q1Lx8KqWYzzLUmD2xJet7E9lUKm\nNjNpwbjiLyVya+mnLufpDPBa8KK2dHjOsaBZBjndoh83IdJCkEU7q7luCZuuCBzAlWP5m3PCibZA\nPwWJM4Vg91Vfk0F0YIlQY/KdaIHWd54ZNMPZVRQcdH00wTKRc6bvXAajJjlMkLbr2EkTfFkMeL9N\ncKU/TjV6KUwmbdcuCx4/J2srBEmcbIvbxdBfvtyv+Nmdk0W+a8wCcSpEgnNwjS3MfaPZ6dniQgQG\nOLXuTIClkhVOXzvXDcZfHASp1iuSCnrMlBKSozXA6p6yOBKF1aiFZHPPcjiCdxonsEA041JdFQuJ\n1WfbyDPsGlYhNUHQNfZ8mXhLmh0yj886xjFLDCt6S0hEzjhbt7KQa3xinBMOWdBlc0w46UPJiWmD\noLJOeq3EGoROZq9W76QWKr/TAzWnjE0XCnpxilJlFVl+n6JaadkWa1oWk3K9rbuAWkiTVobXlNgN\nsGolcbprfIn7+BJLzMVa78iz5w1lSvchn7e9O+bCJUIvwynZqM25/+jbU1kbdOFzLqrNct/x541t\nVOeIxZGW+4/avSmec9P1SrIjUKwQfgdUK4vL36g10/qxa9jie3zN4/urNe+i1cK0ueP+iuZoWh7b\nKBontby0vMbyflGYn6/3Z6nhU+MFlhZH0QizHcfrFqQRNHmS7WSjyOdGLVXa5Z9prlacSza6oY5R\nh/U4R/2ja/FY2+Z1U9UXuqwo1MXFZ/TvFBS0Lqmxc8mpYybXnwldPihj64oiZJ+FxSJVcRy6lHKd\nQCtjQ3cPXaQ1mzI/G/6pm7TQI6li0HhX6tEInVBSck9xA5MEdE5kupD+1ySewmBh1yNt0aylO3j9\nORnwgfvpiqMwZftkTDD2AcaFDFjDsTh+V7I+D7q2OO61pVstJeVZ1uN9/F5w3+Osmyexua/i72u9\nPZWWDLdaMIQQgGoCLILOR4tHnSdTH3sTlPFxrrOX2uhT5wsv1638sJUGQ68L/bnFHZEEuVafQ4FT\n39MSk2+LSKpeGmrE3FJ1LN0KgFk/VvVwqR0fB0rZb1oyhCezeBrPC7TgqvuelYrnWJvj9XjPkyLA\neA1ux9BlXkcWDEPL8bc5aUDYq/sRhrqqEW45S/Y+EWC85hgT+rDUuSgMmY+Uneb3eIlZmZWVJCHU\nu8LKy3Z7mKumZjCotfP6eMC0ZaL22P/jT7HGfIVEkzgOBQjvnYm7DMynlKUujHfqoqwsGb3+M31X\nxsA7YcWOKeOkDziMEatOLIN1a8H5VRcwR7EG2uBwsZ9xZ91grTGyNjisWmN9jkmQZsxjmryhzXpl\nh161vgAg2J+cjZ1aLEWzZBgXYe2hJsg9tmqptNX8h74bIxFoiuSzGJBZ8PX16V6r1xS2qafJePvr\n680T215DRtJTKWRu0pZrgeKYhXz0/OoFusRqHiNoruHgUftrLRZjGvgyJpJ1kZXr2TGAWQYUMCZ4\nrp/H/qaEKq5jwsgEzLIflh2edeHDjbCXDEODLce3ohmpBOOx1SEfslBdv289XwPJFFS5ulZtAQhV\n5XXrkNYLNGbjKoulGtbqnuuYRfUbLZnC9WYJn8dWFMeznkK5GruEas7JGUUXSXkpBF/JdtNiUy9e\nuepXffzj9B8ucrYg2nYck5F2a9ZgcwU77UTRdCtFhgoKzyVYgPRIVDiWCDQyXNhiHjMQYONfYP7O\nrFM+I6LNMlAqfWbeMMxCb7wDfG0pL2+Y/aZLa87LXKfjsanHHhzzm5RSHperZ3O8ljiUmORtbV+H\nMD+BrZizSQLJwkOWFp8lppIqWGlM8MHiGjlJTIaftIw4KRasAQuBUveD3+UgvnQWf5HvTSOxmbZd\ncqnFmCtiTvltniXQH4LDNGV03TGUmlaZK3Epxm2KZt9YFjhQsemiWjCqxbXOIOc2x4RWKdq9y1V8\nBqXtaU5onbzwXetL7Zu+DZr9bVogratJUUjMlQBECMyKLKvRa61qkX3rqxrpdTwmYyioMWA/Jpz1\nApeje2pUUlLJHdGcFh3zKRn3FIuk1dafc04tGVSChMF9WKwGDmOMWDdB2tSV7+CFWDNlX/rE5ySx\nBdHuhTG7oqVRb3UTlmizYuVNYjGMs5V9lppDGatWTgjeqWXgFfnlS24MAOw1276O/1AZqFkIaJXy\n3u+sGok3ae0iZvwLOjBh3YqFe9I3GEPCbpix0XhNq+6u7SDIrpNOaPRHzafZDrPMvZTx4KQrVlYI\nDl++GAAAz5x2ON9NuLNur4FNUs64OsyIKZf9YpHp+5IddsME54CTvsFhigVhtuoqykp99cdZYkz7\nUY4b5owmmBuUMRa+dxSSUbS3onjVrsti4d+WIfPakTFPp5Cx4KgF/h8XHzELJMM7j2PtLiVhreWx\nx9YPjye0+boPv8bpX7cyimWRzCrgVidvcivCUN1dISzjMdfdgBVk0l93u6SUhRyrOp5ulqXQWvqr\n5TezMqhRtli6/hCq+EV1TQL62PeYM9pqTIUEVNsraqi4dNAGpR8xFt45JfT61ieUWyov6RS1c3ot\nGUt7jnUsZorSXwboY8rIXtgFWBun8YYMy1mgubkLFcghlzIDLWnknQisjXOYk9GjMPAv9o9o+nQv\nFkJR/T7GhA6secI4izu6l+WiT2Zjxm1kDI2BXOINdp1jt6VzGRb0twA/xx5I8MniPymL0AZEWYje\nFfdUG6riayljDOKiu9xPWHcqTLUExRRzWcABcbmd9AY/n2Mq6K6YjeIF+htdXov4hgNcRikxXiph\nZpR320GEIxUQUWAIla+tWVfiOUAoVhHH38NMTb4rHKMinPV99NV7Wp6hWyI3n+T2GpIxTyd32bP/\ny/PXYhM1Moz5MTdxlPH3RcZ/VoRZRkGacasRZM67gu4S7rKaz8yhbUNxgYlgsjwY6dvSldQoMoj7\nKFBCMGRaPTHZXt2nY3eIc8DZpitCoana4q1x4teuwZpx93ghouDhvREtduz/r91lpc/OLc4BIDk3\nlYBtgxWJIvdXzSPVhqXG13orUdAFj+D5ki8T7ABBYXlFxT1z0iwsmHHOpSrnseYnC0DFhKBjUHjY\nqmM5ljFLxr9k/ltdlGPusuCccJdBLBk+fy7g9XMCzPXFrVTPhMXR6udX85UxM54LZvBaNdMTeWgZ\n/3XbdH1ljmE1Z6AWCpyh/Fi5k5n2nAe7YcY4Jzxz1uN8OxbkW6fWTN94nO8meCece+e7CXc3bRG6\nrNLaaNXWoHpg1HlzmOLCrUhBwJjQOKcFuIVziWNMC3uYIpog1t5xrI5tFjci7FnV7upjF7spn0uI\ndL0fAP6Hbz7Fk97+8z8+etXn/o//3d0n2JOX355KSwbQly4DMcYiLI7dZVxAUzQSTX7nQs0EzNpt\nttg8Snsl1gNOkDoz2ywbTjipT6M0GHNC2wb91JLNutCOY0Sniw3dZtMktW2axmMcI/o+XLM8KDDn\nWcagaapEwjkpiaDRvJQAcMrXCCBTFu2yb8NCwEjSn5ERshIhF6tW3Tz8ZPKl9w6rNhRSwWEW0kS+\naMMcEZxD14ZSNRNZkt58J5rxSs8LPmCYBK4KqCXjXLWwAIc54aQTAsvdlHDW+0Ix450kXgKyKI6z\nLDqrVuJOFDbOoRy3arwRVAK4HCLur5tiyaRshdF6db9657CfIk66gENMBZrJgl2EYDs4zFnGkUSP\nnQayJ0VdcXEHpJpjDRbhc9yPAgEeJro0k5JMGrSXJbFbTSjc9KHAaQEhqSSizMFcZK5yl3WNjOuc\nLPC/6gKQUBIpD1PUwL9o/qsulCTNdZdxvh1x76Qr82iaE853E+6ftLi7aSXBdkq4txFBQ0Hy3FlX\n3rdVC3zx4R4A8Pq7K3zlasT9k7bEP/hepCzJmill3D9pTRgApf8vXo3wzuHOusFW3WRXh7lYVTkD\nPshz3o8RZ+sWF7sJZ+umjCefOZxZMcUlne17UsuY48f3iu7gW9leQ6bM0ylk6F3JBjVMKRUOsvJJ\nVw9dailbvMZZWzw/uFDa4+bhF9fitVllELAETXNb0RWXSx7MMkHTbqXUZWEsQLV7Y2mt6fSNK622\nmCSmY5pR3R6Tx6hx2Qu3nIV8KSTOsFzQCCSwWESFbqL7IGkOBMzFlZuKkr9y+eUscajajRcrF1zO\n9hljQkxeq3tSiALwQjNCi2auuMrIW5agZQxgiYB0F8o4mPBNulKVAmo5F2r85FwZh5ytdkxMKOCI\nEqeq+kO2aCLNHBiTyZgTLQ4Zt1bHcdJkWxG8vrg/ffVM1EtZQcPN3ZayafMl0TPlUm8nZQM7lOfr\nlgACChl+JxJwVheTuOTsPr03S6aGHNN1xxwTwpvHOZX/zzFjrfGjOWWsdDG2+XiEYCy+LK0E6wyg\nIj8TYWixJKTlnHZsW00Szu0a2WfvxXKcbQ6LuDqGKdfvGZ9T7Tav3Wv56FpPcvt64P8JbsfJkfIg\nl+6F42OA62iTm46R/+BanOal+sJTj+MnNeT3+m+2r0aeLfdXGd1HW+2Co4UmAU7VPCt3Arebxue4\n70DlmnE2benW4gJY8kAqV1t9fgEo6CVL7sXR+PhKQJfFVdtaunGknZqFmW7BBAEO8Fo8trbOBJps\nrql6H91jLI7m9XkFjdk4J6JCKHCEC6zWkMXKUVJJ7V/jfXGXAbIASExM/t+oezF4hw4CMQ4V+so5\ntxACx/cUqjHyTseijCEs7yS4cj982HSXMT5xnC9DsIccY5YorSxoieKoik0XHLzzmgSaVVsn6ENi\nKkxo7BovUGQVXhKv0f25LrYnY5QyyrnQ7zEtEYAldqhQ5JSstHbOilzTa9P116jrkvdUvyveS79c\nGauqlHJ9HFwBCpQ4ENTlqakIy3lmz+o2tuP3/UluOWd88IMfxOc+9zl0XYdf//Vfxxvf+May/4//\n+I/xsY99DCEE/MRP/ATe+973vmR7T6WQqRfBY3jmIuhfLc7cyvesAWe3POfG7TEP7LjtJSjArA0R\nGMvja4FjgscmuQET7EU71pzsmteFp117qQkXF2I22g3Clxd1SyqBlVVYLQUlF+A6hmCFyZyD1l5f\nAgWkm67kofDF51ba8q5YTOxbLTgMDm3wWTVgFxqvD0IrU2vmRUhlI3q069fPE4VMM1QluIVFDgXc\nwEVbmAPMgmBLwbnyR027cR7JGapNxtEVxubsjvuSi+CohQeDy7463sgnTcAX1w6Wz7wWcHKfrvSJ\nVR6ZV1MDEehe4/XICtA2Hj6yDoyWsZ6lnsykFgwgi3zXeLSNx26YFY0oGf1dcMhwYh2rRcQEULpr\nmYVfJ9Ty+eZsmf1E69XKmygBvsyZxpNpwtgRyjjp2GRY/IlK0lJRM0EjioicTILO47nFOkfV1H+i\n2y3KGHzyk5/EOI54/vnn8ZnPfAYf+tCH8NGPfrTs//CHP4w/+ZM/wWq1wo/92I/hXe96F87Ozh7b\n3lMpZOqg/TEUeZ5mtF2LeZrRtI1ooRUyjGCAeZ4ljtE2SDEJUeYcEZQpshZGFEQpJXGfORRoIl07\nvvr/PEswsu8bTFNE04hPnXGZSQsvtW1AjPwtWiC8DQVUMAwSj2Hchu1RsJCAU+4pFYHVeAlmEuJa\nMqVjRtu4EjepqWTaI7eGdxnBe+zHWQK9AMY5Fghq1/gSF+BCsB8FquqcwzhJXIW/kZZ93RGW67Af\nZ6y7Rl0imhSni/Q4R6y7piwAh0lIGbsmYJylrU0XEODQBY/dlOAdcNJ5bEcRD50GrU86j3EWRBhj\nN+f7GWd9QBskTgMAXSNAgZgzDlMqmuaqkfZX2r+WizGAyzGWNu6tGlyOEfdWDVjMbBWCopEoSFxJ\n7OT4M2Z1rCHLmKfC0SX3Ly6ndRdweZhxtmqK9UQgwH6U5zTMCWdKOEmCx/0Yi2C/s24WVhC3Y2Fj\nwl7m3dVhhoNRDq27UGJSjZdEy+AdtsOMKeYCOab7rGs8nj3r8XA74nw7wXuJjzzaTXj9vVWJD/3r\no6FYknPM+MZ7K2QA/3J+wOvu9vjiw4O810WAilB5Q3VcjXykJXRvI1DEF64kVvTC5YAHpx1evBrL\nMYTNr7uAy70WWJuixNHUcqOQo3XD2BWFExGAw0wBaRYVYfy3st2ilPnbv/1bvOMd7wAAfNd3fRf+\n4R/+YbH/277t2/Do0aPHGgLH26sSMvM84xd/8RfxhS98AU3T4Nd+7dcQQsAv/dIvwXuPt771rfjA\nBz4AAPiDP/gD/P7v/z7atsXP/MzP4Id+6Idetv1aw64FDjLQNCpYVFgQCFB/994jhGBaOl06VUZ3\n7cahoCmorvLd+iOfOmiN8iWlXAQM2ZL5Gy2QEHwBCDhnyCxhZRam5nlORbAQNFAekCLUnHOF/wzQ\nPBPW+qiqapLPjO6L7KsckSJc/OKlZTVA55y25cQllTSjWhfKuYAEBBbbNhJLYXC/a31BetGX3zVh\nMY4EEcRs57fKwEvgAAWNdwYAGGPCqnEKc5WcGYCuIoEW04WSs+ZwdCJgiMACqpo13mHd+WIBjlHA\nAbJ4WJwuAti0HsE5tF5iKiet1yCvjNkhRjSZNd0dZmdIvb7izGLwuK5fAqgbp1qMCMCYYsZan81x\nxv9KkY7e2366qtZdKEKGdWGCWibU0GsLq208gkNhw84A7p+0C1csUWDrLmh+iiwdFIh943H/pJWF\nWy2Yh9sR90+6ct0zFcwUCIcp4f6mLVbEGAUsAIiQ2A0R93Q/R4dChnk7dzct6no8jUIRdwpYOF0J\ne/TZusU4J5yuGksSrcZt0wsIpWYgyN6Vkg0o1zeLh8elnLEizr2yuOqcs9fSdnV1tbBMmqaxWDeA\nt771rfjJn/xJbDYbvPOd78Tp6Uuj516VkPnUpz6FlBKef/55fPrTn8ZHPvIRTNOEn/u5n8Pb3/52\nfOADH8AnP/lJfPd3fzc+/vGP44/+6I9wOBzw3ve+Fz/wAz+Atm1f9holCKvIKtcqkWQTimVSAv8V\ngiPFBDQowX8mZ5bPlBYxmJo8k9d0kGvlbMLiOPBfWy4pZcxzUktEPmvX0zgm9L1ZUDw+BIeuC9jv\nI9brpiRt1ozNTeMxTYr86qQ/MWdMU8K6bzDOEX0rbVOIcILzeoBM+sMUsdYFh0Mg1P2NlsUF1l1T\nvXzS9jBFtBCt+aRvsB/VSgyCdGLCG+nVea0muGKpSF+AwxQRgscwRrV+ZvheSgicrNriKiuw3CwR\n1P2YcHct9PpXU8KqbUqbHg67KaqLCdhPCSkDZ71opPsp4aSzXI0EERwFDeYEXfbcSYMp5RI4n3Tx\nOtNzG+/x6DDj3qrBVseLczV4h7YqyzyFgIyMTSulATZtwG6KGKMQcWZkrNQC7yoSUQBFEG+HCXdX\nbUlqlCRMsS5PV00RVLthLpYgYzN89he7Wd2N5jajQsHvFM6iPMi9r1txuBEOvR9lfIWvLGPdesQM\nnHQBJ33Aw61Ak9etCIvdMON8O8EBuHfSIaWMRwpfFutDnvM33lvBObEqNl3Avz2SZMw3PbvBFx/u\ni2XDtZpuxX89PyCmjDfcX1cB/awMFw5Xii575qzD+XbCnXWDF7cz7m0suZP3f3WY8eC0w6PdhK7p\nSlJm7e5KGQsvAIEHNZEpSz4DKAL/ttBltxn4Pz09xXa7Lf+vBcznPvc5/MVf/AX+7M/+DJvNBj//\n8z+PP/3TP8WP/MiPPLa9V0WQ+Za3vAUxRuSccXl5iaZp8NnPfhZvf/vbAQA/+IM/iE9/+tP4+7//\ne7ztbW9D0zQ4PT3FW97yFnzuc5972fZfMoZSTTbL0L9+/mP339RkdcxN3/MN7dST/vi3ZT8efy3A\nfMnHJJs33vpj2rr52GPCzOv7burT8dgft30TLYchsG4ap5ufDwBkXD+WcZl0Q1tpsb8i+MT1ZyD+\neON8q/vNSV/3m/77402INyV2Y/1ebiW3gn+OhcNUgak+xQ1q+27yNNAl6mHC4nHAlWKR47oHxRQk\niwMW4Ihj4NpiCXYM76E+3lgD+Bmc9V/asTErwILKZct+1/uuXZO/Hd0nv9Vt1IH2EtOCBeRL36TD\n2u/lONSxrPIc+f9q7I+fLf/qcarJUV11rdvYrl/nlf+93PY93/M9+NSnPgUA+Lu/+zt867d+a9l3\ndnaG9XqNruvgnMODBw9wcXHxku29Kkvm5OQEn//85/GjP/qjOD8/x2//9m/jb/7mbxb7r66usN1u\nF2bXZrPB5eXlK75OTefP/5ccGY3RAGaNOOfggy9WCVARa3pzndXb415gm4THE/MIyaLWChMp6wz+\nkhBXubz4O91j5l5bJmtK3+1805rlBWrU5URCQMAQZ8EvA/iAvOS9uqAYVAZgKCFF2NTY/+BJvkiC\nQ3PPcfGoy/PS6miDR6f984S2AAAgAElEQVQuppr2xjm6zxw6JT7s2qDIo1CEFLPdk3OabAmsO1/c\nYH3rqwz/jOyktC+0/10wn3sTHPpgCwlLBNBVlDRqu9YMeiZjMnDLNr0DJtXwY85YN+Zy3DQBwVky\npnMoVkqNxOsbj1Yp9zPsGfA5cZHk76vWEhqDd/CtfJI0klYfc59osTBTHhD3FvvBxZ2LPsegMCxX\n7jIirvpGPAKdJjnSXWYJrwmHSYqNDVMqsby+9bizbnC2kjiMcw53Ny3OtyPurJuSJ8PyyU3w2A5z\nccPtxlhyXOrAPxWNs7VYyLsxLtxlrb4PJyuxeie1kMQl1hTqHSo0wTtseik3IAXeZNz5DokVlYvw\nC9UnnwHrH9Xusb4V+hrOtye93Z4dA7zzne/EX/3VX+E973kPAOBDH/oQPvGJT2C/3+Onfuqn8O53\nvxvve9/70HUd3vSmN+HHf/zHX7K9VyVkPvaxj+Ed73gHfvZnfxZf+tKX8P73vx/TNJX92+0Wd+7c\nwenpKa6urq79/ko2atsluVLdZaXCZWNEU6yCmZAW7jLnLBmT7rKcllr8otZMrT0nEyYywev4EOMq\n4i7LWcAAXSdAgK5bUtSM44y+N/dOShmTuo3EHSbBf7rLWJtG3GVO3WUo7UY9f903JZkSwCJ2Yu4y\nlH3iLgsFdgxIgtyqC5g0SbGvYgAMVksVRo9xjiXA7x2w6RscxojNqsEwxhLgTyljGCXDmosSIC/k\noG60wxTF9TZEhF7+z4qJBaygBIgR4ma7oz797WHGatNom/Is9mOy8Y7iLtuo4DjMCWv1mR8UALBq\nDNLq4bAdI1YbzV+Bw5Rzycehqy044OIgSZtXOgYASkyhdpfNuvBt2qCJpAH7OWKIEZ0Xv/+qCSW4\nTssCMOG4myLurFrs1F3GBFyOFRfJvY71YYo47V1BlAHA5f6rdJdpFv6ucpfN6rZLWYAZJ73Hw61U\nslx5SbQ9TAmPdhO8ChcAJWGTCZd0lwFWW4bcZW96ZoMvPNzjDffXC48AF/1/fTSIu+zeSovI1Zam\nwwtXB2GBUEDC2brFw6sR9zR5k5bYHBO2Q8T9E4+rw4z7J+YuK0msTqHSKVfVU3NhE1i6y6SfdJeR\nJueJb7coZZxz+NVf/dXFb9/yLd9Svr/nPe8pAuiVbK9KyNy9exdNI6eenZ1hnmd8+7d/O/76r/8a\n3/u934u//Mu/xPd93/fhO7/zO/GRj3wE4zhiGAb84z/+I9761re+bPslMKmCglpMCAHzPIugqZBi\n/OR3ChcJlgexfoJZPzUp5rElYzvko87roICJSsbIDP+m8QskGWvJiMCQGE2MSbVIlFiM9JP7RcCw\nPTs/o+sMqcSFIqiAESRYKu4D0Ux9WTC4YAfvqrLJRoVDAdMVSyAheNOgpyogv+6agnry2s66bzBO\nCX0XMCgibNWGgkCrmQAAEUyAxH7kfBF6J3o/Dq6wC0wQxBT3j0riedoH7CfL8G+8w0nv1W+eCpXM\nbkrYtL5YKYAIHlpz40x3Usa9dcAYrXBa6y2Df5glKXBKGXdWIizOulCC6Zum0fLGVn65ryyZExW0\nmzZg04aFOwZQNoZk046082e9xMo2fSPCSPM9TlQjD97hMFupYQrNGl12pugyCh6CYWjZQK9HC4bW\nDd1CK6WROVXCTGQj5fRe0GVjjS7TBbcLDq+/t0JMGf9yfgCz77+oggOQBf6hll8OCv54vQqdF65G\nvP7uCl++GEq/ZH6KQHnurEPKclztRiXC69mzHs4Bl4cZdzctLvYz7p1IOecaXdY1Hvc2YoXdO/n/\n2HuXmFuSq1zwi4h87L3//z/vqnK5bMrGF+teEDLYNIPWtXtkyT1ogQRWFzYFI8SMQYGELjKvASom\nqBmAe2K1aBmEgQEThBhYgJGAgVXCBnMbkHD5/ahTVefxP/bemRkRPViPWJF7/+fU4xzfvy4VR//Z\ne2dGRkZGZsaKtda3vtUhpqz+Lgk2zXzNRPjKaEjn0DWsCbJg7YwmI4urRVvmpgdZ/qcPxvzpn/5p\n/NIv/RI++tGPYpom/MIv/AK+7/u+Dx/72McwjiPe9a534UMf+hCcc3j66afxkY98BDlnPPPMM+i6\n7hWdY+4n2CsIdHXDdmlbJ9P2bJZA4tS3yLIaC+/K+TCnlJG+7PZRTFPz/kswntSR1VbZbhMjle21\nua20r3xg5rxZ+uRK+9BrdGW/6ZdQwSuCz9izUwa8aJG5xK5YX03O4BTN9q/0s5yvJjUt42v3lesh\n80Otadpj9/lM5LiUoSkDSp+hEfDz+vJZSDILewKlpS5mNVr55p1xF3OJtOUAJFfIPaVu9VjKTI39\nvhWpnKv69nfd4F6f1559cn/n9e41VemzOTtG/2bvqG7LxDjhbDtu15dl24NYDexOV85jGSwyxH8y\n9+oZH5XRDB3knd5fZDjdfNs5z9t5x7/aff9RymsSMqvVCr/927+9s/2Tn/zkzrYPf/jD+PCHP/zq\nTiA3t3o5CzNz7dCu+b5k4hRBIdv1815vVt49j628DwhAE39WlTooa3H5lGOL0MKsTZtaoNQpWTTL\n5FxnsSzXJZMcTX5ZX9zCClBgtbZPcDXLQJn4LWVGmVDl9N45TGafvUYinjd9lmNmwaZWGIivK6FA\nkO159Tq5XbFCiCYigtWy3godi1yPOMKFOoXq8mpeSDhF8HPbgioCnPqBppm0ozaxt1jhHWAmNFcQ\nfikXweVBiw3pdzT32GpAEqRZ3UtuK6XCQSb16wm0tFP6UxzmcEBhLHYK1RUzoJw/cz2blVLpXtjk\nKsnOMgoVzMQDKSgtEQAK75bvztD9qDDP+kw4lP1yS8QUXHw4ZYzBC5WyTWKThNlCmC68akz63OTi\nr7OzgqwZ7CORs1hAXqGUeg3ljSS8LmQwptzBnHIxezUBMUaFIYdQCCWVINN7rSM5ZdQnY47R/DPI\nVa6Z+cpSBJbAkWUyFFLMGItpaxyjBl22RkV2DhVBprRNEGavEOW2LcABqxEUCDMUAJAz1PcjcFd5\npL0IO/E1oTDsjmzTl0BJgHwyPeeIAUowWzEBUPxA4x22HAMhQZPLrtEsicMY0UnsBpzCacWEIJrI\nMFJw5jAmdK3HZigQ6p5BAAAqE1vKYMhzgAdwNiQc9mKOomteDwnXlg3atvhkxJey5iBLOMc+mYxF\nQw50EQ7H24hLi5JPPiEjRpp0llxv0TicbCMOe4Ijq78rk0YkPhnvHMZAUPM+eGwm8mFsp6QQ5oSs\nAZtN8Bp7Qe2RGedsiFh1lImyFd9dWwJkM8gssxkTE4NSvMeqL+N4uo0ap+KdnVCdLhrEJ2MF9COX\neno+JsqV8zKbtVZdwGYsGS2vHXTIAE63Ex456nT8pkh+k6urVmHK2zHh8SsLMpGh+GTsIumrL6+R\nc8bbri3x7TtbPHa5r+ZqQQy+eExmskcv9UUQobAhvHg8wHvyB51sCLp8dz3iMgMLMgC0JEyO12PF\nEL3m4FsLBxfhPXKKaBGYIigXbTFR07XGh+qTeQPJmNcGYX7oZbY6syav+Xar1ei+PQuIeVt63F7N\nAqbOrrmpfEf1vWgvu/3a7c+e6zNtnrd/328p++DFu+ecb5MVsOnDbN95/TiviClt33lUS7OwZ+Rq\nJTi/jsR1zttP7c3q5/r3vC/zJnbrlAlN9ter4FJPTUXmL+asfVbtiDWlhKxt2+PtuatPmHNkcx77\nLKPur72HUjfJsXuerbmZUZ+V2fHlr5B0OtNXWQSJFplR0Jk1AWX5K4u5+hkTWiCLD3f8W67Dmfbt\nxDsfn3uVMt6z531er6qze++kT/N2H0pxr+PvO1wupibDZccp73Y1DKlnj7H1gH1ayTk+nnP7Uf+2\ndl9ZuVkzyL7rkHq2zbJ9f1/EBDffL+Myb9Of004y/bXXIO2Q+YHNaTv9rsdZTRVmRSzXICYefemr\n8WHNymhYOg6wQW/WDFRW3MpQgLIaB6AszEGPZ7OeuUYbT+H5pG5W39aRfskEZ8dZOM6C52twBh7M\nE513qAgyxcziXeE5k5gZGVe62jJp5gwFcsh4C7eYN8dlSFxKgdfqPUaNKpOxhHfVNUv/5+em58Qp\nLRHR/9D2RvvmGEpfzJxCcRQYlCEMEQ3TFQWOync8/jklzcBq4cWiJYggo/6YSHsHTf8sArThZ1gR\ndrmY4OTTOUcpvlHH2zTBK4R8l/MOyGaMvRk7kc5yn2S7c7vP1YMq/9M7/h92EX9KSknhyWrmCk4/\nBVIstDLy3TmncTE5ZWR2JovZTM4BlEh/D4/samBA8bsUnwHM5GA5zc6j+gcyn9NX20l4lMReZV+p\nlDOqxGY2EZiY6lLKSD4rXYfz9OI5AzqQYyWeoNDKF2e2mEoa9imBBRykf/yJULItEksuXRtFQpdc\nHdqecr5lNqMkRM5YKZOSZq/kyVxs83IPYkZFlDglobAsZUpZiS0l/TKCZD7MaHgCGLlfITnASxIw\ncGZMr7l4xBeTMiHN5P5MnKHTxqKI/8KhZHX0Lulql2htiEFg1OcPsKzH8vxmvhcuOIycLZTaL1T/\nU8rozDHCZixkkd4ssiytP1BoaeS69Tl0wopM/RG/yRgpJYL4XcZINEkjv1+BkWnERlBYqgXqPERK\nuewcIdFWXVDElvB+Cc+XoAoBTsjGpqls30nQwmJkk6gIhBJ4S8JfUo3LGBBcuSTtA9i3lYmfTJ5N\neReCzyZ4tryjxRdWUg3wa0Fjj2zaqE2QD7K8ijXy//ByITNjHv2f/y8A7HCN+eAxDROarkEcI0JL\nsTJSL2dDkDlOcJ4IMuMU0bSNkmoCtfZgE6CJb8Z5gj+Lb0cCKIVOJmeg74lGpmk8QvDFT8LZ/EQI\ntG3AMEzKbSYZNm0MzTBEhUGLz0fg0uL3iWzzvXSpr44dx6T9k8DIYYz6coTglMZcYJkSINnOSC/F\nljxOFD+zZvoXGZ+z7YRDpn/ZMCWNHH+2JbqZZRe0/fV2wtLECElaYiH4FEhzExzWW/JzSGI0gCDW\n3jkl53SOOLBOtxNSpsyZzhGFzEEXMKaEo54mNSXI9E5TKS8ap8JGYMBAId1csA9JYL3ekb8mOEdQ\n3VWD25sJ11eNcpUdtI36VBpH/VkEusetJ3/LeopYNjV8WV68MVIQo2Cylm3Aeow47BvcWg+4uuzo\n2XaFh+14O6EPHmdjxJUlxaHQZJ9wMkxEXZOhCcMsZFm0NPmktAy0g4Ql+bG8g2oWwpUm/h/x1ZwN\nkTJjMoRZYka6xuPaAW27c3Z/gkzRZN756AEA4PkXTvG2a0t8+cUz1jhorMQR/103VgCAr7x4ptsA\ngTAXn9K372xw46jHt+9s8OilHi/c3RIsGyRUFm3AogsUw7NqcbyZFE4vCxRJaSAkmVaASQ6eDfsU\nhehUxqgNDv/58YNXOvW94vLfv3F6/0rnlO9964Pvz73KhfTJnGtLzfv3Wf9H5QvJ0Df5Xv6FvX6d\n2T5t0tpiZ/2xPpzd89W26HLMfB9m5979va8vtg9p57j5GMyG1bSjvgLel7TNuh9p1o/52NmV53nn\ntSVl67vYj8Sbn1/6N2+njMVuH+2ElLK99roNW5/6Vs5VjYX2SX7v7/TOPdA+ynjbT3M/je9q3tbO\nOVBfT5r1xbwOO52bb58/83supPYj7bne+rDdM9fPxvkPx+77SN+dnGfP87J3pW/MknvLq1QPbO17\nPdsPo7jX8fedLhdXk3Go0GVN2yCnvB9dJizMhghzHvEvmtA8/bLzZMQVzQWusAVIYKdoN1YDAaCU\nMAA07bKQZmr7zinizD7DEvFvNSCpL4U0M8cU/4WKZrVqmSWgURJNMYmJthRmwSE5Ux/7LpT4AUck\nmF0T2AQlwXf0vu1Lv7xgtJNoLBKcKQy20v3tSCy4i66055wjNFkfFOlmj5egQvJ5uMruLGwDzlH6\nAKG3d45W4esx4YnLHQcKkrAUZtxhyli0dA83o1ynhzB+OOdwdxNxZVnYDtRcBijjMwCcDoRCWw9J\n79VRzyzNQp8DCsbMAN6yWmATIw6aBqfTRGzRHOu0DHQNQgYqVyt9OBkmHPUNzsaIPnhsY8KyoWDQ\ng65R7WbD+evXY8RR3xSfGIATzuUifi1rfpXrbEMxOUm5cUSagJgCN5y+YtUFDdTNIBSgdw4n2wmH\nfaMq2pQy0eyvWrqvgKLlXjoZ9Dofu0znEdPXV148AwC889EDfPWlM2UEkCKgg2/f2SIlQqfZiH8J\nKqUAULqO22dMkMm0/3bKi4mIO68eUBqAq4cdTjlgUxB5jsdhjiizWUEFSSbjbgkyv++Je7MUv5by\n/33ztWsy/+UhaFb3KhdSyKx+/P9hE9VM0XJQ05eN+K/q8Zsap0iU/4a1eW8+GXOM917bEhi0sg54\nh6YJVcR/14WKpl8mfNkv5iuhjpHgyqYRJoMCfZZ2RFBQH1H9FtaAI45mJuHUYJJrZe4zSR9gzWXB\nmB6tSa7xjvPS0IRnWQT6Jmh+DemPmMi8Q0VzIjBkACosnMMONFn43MQOv+AIeO8ILusc0Dc1e4CY\negbeL+cEyNznncOy9cS6nDNH9TscbyMOOl/ZxpXdOWUME5meiOLFY4iU+TEBGu3vHXA6UF6QYUq4\nsmxwvCWBFLjfR12rjnMxoQnrwDLQWG1jwkKePXns+MsYM6bMfkXQsZuJmJvvDiMuda2ajEQASR76\n9RRx1LfabkwZZ5zzBQAOWejMndk75jJzvdIOnOPxYUg5Px824n89RIwxq6nJ5pM5XDQ420bcXRN3\nmZrLLi8IMOEcXri7hXCXTTHRPgDfurPB26+v8KWbp8i5ONrFr/hd11dIOeNrL69Ja+MFp0Dmrx9S\n0PfN4wHXDzvcvLvFjaMOLx4P6HnRIKzWfeNxZ028aWdbgspPsdDI5Ezm3GIuyyq0rRDumQdQ6os5\n9nseW+FBl3/55tlrPvY/P/7g+3OvciEd/4J6ijEiR5pMmq5TIWGp/p1ziDwh+eDJV9OEQi/Dxwjf\nGVH4F7kaQiANyVL9+9r5b52zOeed2Bj6TprMMESl9c+ZqGG2W8tdRm1ttxNCIO3I7rfCQATMyP6V\nEieTsd1GLBZNpSVJfRF21F7hXhLtR/Z51iwWXVCq/541mZa5sGRCbzlz4bKjJGXeOeUxW/LxJEyo\n70Q/7zR1gJhu1htOcLYljeZsS79PB+Iyk/ER4QPQ6nW9nZj00FFcw6rjF53G9GQbcWXZoPMOm6lQ\n/aeccTpEpnMBTrdFk1kyXY+Hw8vrCTdWDaZMNuQxFTDCAddbNAG31xOurRrc3UTt3xAzc5cVjWQR\n6dxvWQWcTBGX2gbHw4gtC/Gcs/ptFiGgdUX7HTm3za3NgKuLDneHEcsQsI4Rh22DO9sRl3vi4Drs\nGpywf+Z0mnC5b3FpUV7rW2uivG9cTZApgkdW4QoccfTcik9jPVC808lmQkpZJ2CJC7m0JJ/P8WbC\n1YNWAyinlPGNWxtc4TgZgGJ23np1qVQxosnIuRvv8GXWZN7xCAmYdzxysNdc+5WX1kiJfDMFDi5B\nyMDXXl7De4fHLvd46XjAI+yPuXHU6YJj5Wih88LdLR651OPm3S2uH/W4czbqs7xiC4NoMiLcBxZC\nXeOx5Tgo0WQA4GQz8bvzkOJk/kfYvV5juZBCpvJdiB1chEOm72LmyijElVInZ0JXiX07pUQoM78b\nG1OhzcRen6AwaNlHaDcJtmLbrrEHC/pEEGYW0lsi92tfDkV21z4RQauJ0HAu6ydBYp0ixUo7+3w7\ntdmt9gfRvijbqn5BEWjFR1Mj51KiCGzdj5IWN6Egb5wr2+manPo7ZGKIKVcwVI+CcgKK/V1MItZv\nI9H/lJ1F6HLqc6hPRZ4diV3JJgbGOa7P7bqSYtvyYnlA0V3SV2k/5ozAeGdvxtb6tGL1mwWvGW99\nJhnMnGD8LID20U6qYDNX+QO8+Cxc8c1krueq+yvPB9cB+J3iV0Sf2TKBS1+SfhYYO0w7+rxJW/Nt\n+n6jxA3B6T57Xgs5dnxh0o53xh/CFywUNvTe1sX6Jdxsu7YzL/wsnlfsnDBv92GVN5CMubhCBgBh\nh2MERLPIRdgIm7LCm3NGcCWiP4GhzzQbVMKmPhn9ZccTlEnQk1MGHJCQTPqAQuUvE6983zfZ64vO\n9ZyZwLRPORthV++3gkGEXBFsSdsu8G2vQonOJ2Na+mGtizLR65DnmqNLhRlfY6krkNpcBAnsBJH1\nWsokXSZYrQPrSya4svRpHmIQeQJPfG6JXUhGeBU6kKxQZtrOgluvs2wD9ynyMcFnncyT6Yv0Tcdy\nz3N7XszTvpw3LCOqydreqzJGNZCDRr9uqzqXnfhRYipsvNO8mzKRV/Mp/1AfD+93qOddex22PTEh\n5izHlLifDAezDuJ6fM+NaTVlwOVcmcvEZ4fZu+wAtkKU2CfNXWO03mIyhJoKJb9N0OOg2wEbs2Th\n9RyzxW2XfDKmzTeSNHhI5UKiy+6xaHh4pzx3GfPK9lOd+9fdi7LJ995/r5LmQvMefapXiPfv16st\n+9oQ7WDeJxGUdb1X1/bOuR7ig5Py/u/0+8Gf934t6r08Z/sD7YsIq9cxYb6eXt3v2FcTWE31X921\nzH1o5+3/jhb3Ov6+w+VCajIAzFItAYm1iMzhdudMkHYine+3dWxxM7OS9b/oNrjqWFq5udmknWd1\n6jbKcXaS3deu7YcVCPYa903cu/Dpsq98yjl2+23PgR1zYUVZwhWqFfe8L6gnXzFviT08mbbm980S\nbCbT9/n1iNnHufqa5xDuij151p69J1LXsRlzX+ZcaasEbRZNKfCyPTujBZmxS6KVICvtjPbJ2GsE\nHFxMosWkVN8H1s4g56rvgXOFYFP2OQiKjFQR0djEjCbByPa5SCiBvKK9yuJBmipEl25Wr1gcrGlV\nxrKcUzQ6ed6M9o/y3XsHpBIoazUs8wjzeEPH0T5L8hlcrZ2X57bWWOFKe3o/cul/gbYTqWc24/Ow\nypsR/6+3MNIGKdL3nIDc0QvMwiZnr76Y8mBlICUyeTnJwWL8N2lXCMkL5R0LMhNMLu3vChD2F+z4\nRcT8VZG9w5rVIL4O9bPYB3qfb6WYy3QitJPPjr9nvxAqfpzZBJzqc1hWWwksm/t/xOSWcmlT/QF2\n4kpFQFkzYZwdoxMMOwTkXOLfAaCTVVIfF/efjPrq0wGKmcyawKyPSNrTW5LFsQv1aUjSMXkkpJ76\nsbKwEJQ2o9oFnDIPW4EigsBr38o1+OwKMtL0Pc9/Z8tQXYSD+LXsvbWmSadCphwvAiHnwk7sIQIR\neg6PIkzt82kFlBxjF1HSZkb5rc8nzKTNAtTnuS+Mn0u78Es2BUZW051nf46d8J0ICJRF4bnaiFlo\n3EtLzHu213VqjedhyZk3kuP/QkKYl//H/81GzlnCH++BYQC6DphGoOFI51kSMoAgzM67VwRhtrEy\nFsIcQqgYAJqmgfPE+pxzRtu12qZzJVMmMQJkNE24B4SZ+rAfwlxs5/a3RPwfHfXw3imSbR7xXyDM\nBVYdQmFwthDmEKQdgroKg4Fci2WQdo4YpZeMAhsmQpRtGcK8MRBmsVsLek25y1yJgxljUnizc8TS\n6x0qepG+I6iwZOp0roYwN15SEgcc9gFjyjjoPEfqJxx0Ho0raQlattPHlLGNJeJ/1RJsuAuchtkX\nG/vpEDVp2ZVlgxOOqRFIq01g1nivcTLe0aeN+AdocreTxBCT9s+DUGybiZBkt7cjrvQCYS4orJNx\nQhc8zqaIqwxhBkjgnYyTXtflvmXGBOOPAU3U8in+B7k/0o5zFPGPXNJzj7HcO4nRGWNWtmPJtNkG\nj6NFg7OBIMzeORwtG9xdE1uzwNZfPB6QUVi/JWnZt+9s8dYrC2Vllv6J1vGf3nKImDK+dPO00hp6\nTrImUOhv3t7g0cs9vnV7g7dcXuBbdzboBRHKrNWLNuDW6YCrBx3urkccLRpFj40TpYfumsLFNnC2\nUM9wZmE+EGbqnAkqvxkJzv2OG3Wsz4Mo//7C+jUf+65Hlw+wJ/cvF1eTSR6cWYu3yZJItBxZdpyj\nlrK2I/vtX1nVuLoN05au7mUFaExbc83F58JBlfecrxzndvpgV0/lT2agomFIHWtUrVeWUC2jaBuu\n6o9oUbV5yp2zH+acxfwi2g2qOnxLFJjAq2LjDLbjLdusVqFmhj1mMqkv7dtzkrkD2k7RfAygQftE\nGQ2FCVnGTerLyjplRorBXIvp76Rjt+uPkWvRewTRFOp69qdohAAYtYdKi9H6rqDY1FSTyn5R6qOs\n4veU6rmf9Uc2O1ebzlIGAt9P0jh4LDg9djJ/JZi1mEylruxPGSBGsqIhJVfuuZjHVFOWG4RiTrPc\nYHLPJP5JG5F7Js8CSn9h+wb7LBrNy5gGBfGo2pgr75aYgbPpX0YZg4dS3tRkXl9RTSZGII60sV+R\n9tItgHEA2o4EjvNkVgOAEFTDsRH/TdNonMzcZOaDr7QY/XS7Ef9N2+hvoASGAsSV1vUtxoE+gfJC\n07Y6Toa4zALa1mO7nbBYtMi5CAY5PgSKvRFNxTlguWwxDBQnM02JUzkXrWWuDQH00soxcg7RTIj/\njHnDusJTJkwEwxBVO1osGmw2xCG2WlA+Gf3sy5plPUzwntImF0gylK9sO1JcjHCjSd56um5eaZsX\naTtEHDBn2slmwuUDCraj4EFiAXjrlYUGKiZQfEvOFCi3ZO3mbChxMqLVAMDLa+IjK+SRbILKwKHR\n5O5uIq6uSJuR/h30AY0Dx5tQvSXHcT12sMRmmnDUtTgZJgwpccQ/xccAVNcGSm5jRB8Cbm0G3Fj2\nuL0dsOC8Pgdtg5NxxNWe0g833uH2MKL3HmfThKt9p7xaAPDyZoAHcag5R59CCNn6Eq0ugZ4SMX/j\niMZXUnVvx4iUS1phCTyUYNmTzYSDPmgczpQybp1SfhaJNTkbIg444l8m/Ecv9WrCC97h6xxc+eSN\nFb5+a423X19VCJESKyEAACAASURBVC3RxJ6/eYqYMt79+JEKA6AIky/dPIN3wNuvr/At1ma+cWuD\nx68sMEr+KUfa8csnAx6/ssA3bq3x6OUF7pyNWHDa78YEQo8xa5rlKWZlPpgSpcAmJgzq44bjxzZj\nfCgR//9+83VoMo+8qckAaQIyC484gWdQ/j3S/hRYyGQSLOyDIchzoFAX59RHkxP5UObBmFI8PEGV\n4RFzrISLMDRrAjVOsJu4bYFWJ27fwpqp6xEplYkqSV9cQkpkfhOWAFkdidYgcTIigESY6MoxZjWj\nyTYylRXWAOpr1uNK35xumziCW9rwvrRXzpX0u3MmvsWsYqXtGMtLT9uZ4NFkUZSsiuWvXEeDYt4D\n2EeSyKkeuS/OEQzWucKmC1AgpdVkhOU5QmDIBQJNsOiShGpMxNickDHyNUi73pG5SOrJ2EZW2wKf\ngybwxH1IiNyXKWdMKcG7oEIMsD4S0WKKnyWqsCNWgCknjdMRjSWmhOgo+nzK7N+BjH9Cdg4uJwJJ\nJGonyDWL5so+vxJHxM9NFr/PzPeYjQaRjY8rZe5/0QZUS0jlWvQ5SYZh3GgK0bQvz4B18qvWmbKC\nAbhVbRuupK8QM60rri8VXkVbrxUEN/uUOuV73q3rnPmOh1beSI7/i6nJ/O+c2tmHIjxyAnwDjBug\nXwLDhrSalEmDkSJ3dpoA7+DaDnma4JoGOUb4pjFV69U+XOEtm7Mwi3/HuXN8Mt5VlDc5Z9WcQhMw\njZNypwWmpwGAaYxouwbjOKFtm1fEwky0Mk79JSIgJKumMA+I0LBaUM6oqHBC8NhsJiwWpKVNU0TT\nBPXJCBuBCDnRupyDalHDELHoG2yYhbnvyspcfDJAzZ3VBIftSAwCANTnAhCFiaw2xWcTgsPWcKZt\nmOm6Fe2ua8gnE7NmxDzZRqw6jzY4FRg9j2XKRCsjtv5F6zjjI6VZbo0mtR6T0olcWQbVZoJ38IBS\nzEhsSGBfDEDaSuMdNrH2ydgyxKTggOAc+hCwjREHbYPb2wFX+x6ZhfSYKLPmyUA+mfUUcW3RyeOL\nMWWcjCMC+xavsk9G8psU31i5H/fzyeRMLMTOFc3Gsg9PMePSqsWp+GQaGnPRVI83E9HvLMgnc4N9\nMs4BL58MyJloWKaY8Shzmd28u8VbLi/w9Vtr1WyBAkZ55yNEjfKlm2cqiJwrmV2fuLqEc8BXXlrj\nrVcX+PrLazxxdYmv31pXLMyrLuCgb3DzeFvxnA0TLXokpUDLTOatoYsReh3R5FZ9o1pVz5lN+zbg\nu671eNDl+Rc3r/nYdz4EH9G9ysUUMh/6v3jJH4FpIEHTLUmLaRe0rTHmssiajA/0velJ8PhQTGuR\ngQIp1cuREPaaywBU5rHzzGVtR2YuMpd1GIcRrThiud1hM6CTiYBXVOMwIoSApm2w3WyxWPb6MtmV\nFTnmafJumWpF6GSWy1bpbCxIQJz/1s5uzWU2xbPQ02yZZn+xaFQwiSltu51YcCWsVi3Wa6JuXy5b\nbLeTfi6Y9iXljM2GUhss+6YgnAA1r21HMn8Jrcx2jDhc0LilzDnlXRmLzRhxtGzhnMPpZsTlVRlP\n74j+5C1XFgjOYT2Ss/awJ4qczZSwZL6qzUQr8WVLEwZAE+utswnXDmpzmQgmay67vYm4zrQyshI+\n7EmQdKFM4Es21T1+QASZR22L43HEEAlckHJWobNoGgQ2+2VQDpY+BNzaDrix6HFrOygx5mHb4GSc\ncG3RIeaM1nvc3g7oQsDpOOFa31H6A368b6635Pj3TgEUco2t95hywjKQyWsSc1nOOwSZA1P1LNpi\nYgNIaAdPtD4HnGJBtJdbp4OayzLoHq26gJdPyQQeUyaBA9LeGu/wDRYqb7++xLfubPHE1UWlHYCF\nozj8/9NjB/oMOBZ6DsAXXziFdw7veGSFr9/a4K1XF/jKi2d4+/WVcuw1gQTBS8dbvO3aEl99aY23\nXFng1ulA6Sq8pMgg6qApJiW+JO47WiSNkZ61021UQAXx+VGqjIdhLvvS6xAyDwOIcK9yMc1lQBEE\nzrNHkwVKTuW3FNF27PecoCHFeqxp/x66LK3az49TlYnPsg1UYIKZSm250MrpyyTqfUloNq9HwqDY\n2OUc1q9ijyvt1J9AWQ3afaUPJd5E2rRkls6JppSVD634kEpcT+TjbXuAMVHIitkXlJmsqm3dlAlO\nK9dtk5iVzJkAQI5XFabctsBqZawB8GSbkXLxxczHhuoTJLbxxWwk4yUJzIhok7ZLPngRWsE7Rqll\nPmfxhwCEQJN9Dk4josVNLH1rPYEUREC03qvAAKDUMI0jBF3H+3MuA94Fr8c6R3WjyypwmkxIMNJo\n5N4XwkzRfsR0RYSkWX0VMm5tcNU9Fq2iCcTW7ABlqRYSS5vjpnG1JuIdk13ywMvCDtyPvg2VKVZu\n04LRZYIGC94puWfP/HX2HD2TeTbBo2eyzL4NKjzlOoESFiF+GMd9lPHomqxCRhBpqX6dH1x541jL\nLqiQSbFoMjkJ3KPergInF8e/7nOgS4vsv3EFxC91Zzc/J/K7SJxMSgku1T4ZzbrphHSS6gDFP6N+\nGkiXmNpmJkTEJ+O8q46xyB+q6zW7Z0qF7HL+V3w4gsLafbot55kMlyDJLDKs+JIyQiD/ivfFp0O/\na5+N2N+lDelTLNKANISZD0f+NDBPhBdASLNc+3asUx6gdy3I48GCSVFBKH6EyMg+tsjx5MSCy5X+\nZOPLEV+Mwosdqj7LrVKEkpijTFs1r1j9lzM0jsYKmxLjU3wScXac+CzoUa7blXGR+BaAYnMcCNVl\nY2ekjxWnGWy8icQ+GR+JeY5TdrooyIByjOnkmrPWKb6f4jfR7yhCU34r4rM8BrN3w7zGuTzPVXiC\nKymqZVyseVzr7Xwx/hU1M5YXx+3BjTkn7e809cDLw/TJ5Jzxa7/2a/jXf/1XdF2H3/iN38Db3/72\nnXq/8iu/gitXruCZZ565Z3sXU8hY8xebFJDIoY9hTaazYQ20fdkO0JMoZrThjLZbNNp2TZ+i7ejT\nQAIrJfLJ5Ghyz7DA8Z7h0MiIU0RKicxj2xFN26jfRTJwWp9M0zYYtoPyn4UmKCpt3I5ougbjMBIK\nLkXN9Omcq2J7pjECjtBlbRuw2YyaVZN8Ml7jXAZGulifTNcFdvJH9fM0jcd6PaFnZNBmM2mcTN8H\nrNdkBss5o+s8zs5GrFat+oT6vlGfzno9wjmg7xtlld5sCsN0QsaiC4g5o2uCItJyplXmeiBTR9cG\nbIYJQMmMuexK5s2DvsHphkwuwZM5g0xuCVNKOOgbAA53zkas+obzemRd4QqB5XqbdCV+aRFwOiR0\nbEq0msndTVSfzLVVUCSaxE1cWgSKqwHFo3hQugLH51mEgJNxwmHbYImwM0Gsp6iTtwOwahocjxOO\n2gYvbQZcX3SIGThoGwyREGZ3tiN69slcX/RIyLjctxhiwvE4oXFkentkuVDtRx93Y16a+2ZkYhVG\nYaH6X/J9oFQQhe7+bDtijAmXVy1ePhnUlNYEjyurFmdDxMkJMUEfLBq8dEKZKkVDmsfJPHZ5Aeco\nvuUtl3ui8od10pOge+cjB4Ajn4wslKyW8q7HKI5GMmw+f/MUT95Y4csvnqkfcJjoWXni2hLfuLXB\nE9eIIfrqQYf1EDXrpzw3TfBYdUGZmA8bj+1EaSBunQ6KpEw50zO6nfRcb6Ty6U9/GsMw4FOf+hQ+\n//nP49lnn8XHP/7xqs6nPvUp/Nu//Rt++Id/+L7tXUzuMlsyL7fEPCa/5XtVN9VmNFne7rQ5a8sc\ncy8X1Xn7ZMV1Hih+33HVtnuo1LtxLTAv1Stfzeilzo67x+VWK06pOz9nvW+33/M6eXacXX3P25xv\nUzj23v3lu9zyoqnd32ax9zHZs42BZDqWVrtIEFYCWbVLrFBBTgHFuJP5n53cFYzC53OmHxnGlOnA\nQZ1OEWFST1bTYjqTvpTrqu+Lvd7S70LuKP2D6Z/22RUtgY5xKrzqbYW0Ulb8AIxwsybRIlQsMEFI\nJ6We9KOQUZacLxJHI/Xnf7auA2b95fM5Q7LpnAZgWkJNaUcFtbZfp7x+0MW51/53v/Lcc8/h/e9/\nPwDgPe95D77whS9U+//hH/4B//RP/4SnnnrqFfX1YmoyUqahmLfanpBlTUfbQ1NMYyPH0oSWNJzQ\n0p9z5ZhxoG3TWJ/DNyRkAiHZMvsBJDWANZ/57InWghOaTeOkWsY4kEYjmg1Yu3beqbYCQAPcxPEf\nmoBhOyiAQDQmgM8ZPMaBkj4puo21ka4LGEdCg5F5i5Bp05Q0Tkb8KeT4n9B1TRVDs91OihAjcAFH\nvAeH7ZbOsd1KnExU7cY5aMwMaVOTAhNyhoIDKO6mmODO1lR/M0b0XcB6O2HRkWay7Bo1t3UmN03K\nGesNaT3eAaebkltGVsSn2wlHyxZNCBgmiekgDexsoOyfwVOSLdKcyAYvq6zb6xGXFo0Ky5gyhkyw\nXMmMuWgog+ZRH3C8LXEyEgXfc6rN4Jxm5XzsoMd6mrCSzJgxofFkbOkYydh5j9YXE8iYEhbs+L/c\nUz6ZPgScJnLS394OuNS1SAAuBcpT03nKN3Opa3C177RvL23I8d8GulYJlKQcMxzr0gQOtCwC9Oph\niZNxDtiwdt63xKrQsH/ugJkitmPCpWUjkh0pAy+dDDhcNLjOMTdjpGRix5uJ7ytweSUgGXrvvn2H\nHNqPXV7g5vGAxy73LARq29Y3b28QU8bbr68gliwRVM45PP/CKbx3+G7OsPmOR+jzyRsrBXTI8/C1\nl9fq+H/86gIvnQxYdQF9G3CwcMp0MMaEk82EnjO6StKz7Zhw9YC0NhE2x4w2Oxvivee411gepinu\n5OQER0dH+rtpGrXm3Lx5E7/zO7+Dj3/84/jzP//zV9TexRQyOQOZzWDWFOZDQZYpwiyT8JAiwmUa\nqH5oyPwWWmDalroWLCAQaAYI7DjyZ0UgygJX9mGWgTNGIKOCLE/jpOYyH7wi1cTEJu3YVAMClxZB\nlqL4hAimXChpIq+ifCVorHPee0KnSQxLEGjqjDpGzG0Cc95uI1qeMEXg9IwikuOkH2Kia9uArhOa\nmliloxbTWdsSdYxQfPRtUNhyGzwGRgCJsKFUzwXCLAghMZctOkohTYGCJHTXAyWO6jgwMuYSMJky\n09iwJDvoiUqk9Q4xE3lix/fhzECYj3qP0yESoozvxeVFIDOZcwgeDEP2qp2smgYDC4hlKCmqRajE\nnMAxokxJ4xWRdjKMOGglTTMh/w67FuspovUeZzHiqGvg4BS1dnccdVIWWpnOFyojoKamlxW9PHOk\nPdGzL3Q0YobKGXBsQvMOCmE+WDQ43ZLZrwkejXe4ckAJwm6f0oJj1QXcPqMATXmrTjZsWmbtQ1Bt\nt89GXD/s8NIxpWqeQ5gfu9wDGfjW7Y36b5xzmhb6bdeWCN7hqy8RouwrL57hbWwWWzLabZwSDhcN\nnri6xEsnA564tsTxZsJjlxcsRBJON1Gfm67x9JxMCX3TaNzUoiWhctAH5dATk9ul5cOZYh+SggQA\nODw8xOlpSe9s56S/+Iu/wO3bt/EzP/MzuHnzJrbbLb77u78bP/qjP3puexdUyPAbN45Gk1nQ96Yj\n7SS0Bd480YNIAmWiTxFO45Z+22Ns8QGIqIRZ9kEDMmOOCAjkHI4JNpZmGib1u0zThKZrVCuBKw++\nbgP7fFLGOI4qnIbNgLZv9WbaRGohBIxb0mSUXWBKmKak/hjxr0xT1EyaAmGWlzPGrBH8Fia92ZB2\nIxDmtg2a5lkEjGgyImBIk3FYLMRnE7Bej1hwxH5KJfNn31PsDwAWTCMWi1azdJ5tJuVfW7IAmvj8\nChQAsJ0mzZx5vB5xtGy1TeeA082Iw0WDxnuOoSkIpGEqKaTPBt7XBJ1AAeAOx0eMAtlNHMiYgWXL\nMUWNw511xKVFwO11BA87B3CyP4Yn72VLQvzxox6nMWHVNrg7jBrnkgGFGvfBq8ACgE1M6LzH7WHA\n5a7FnWHEInhsYsKqCTjbRlzuWqScsWL/jPCYXe5aygLK0/hLm4GQXZ5QZo1nqLJ3zDyQ0Yeg0f9k\n3gOuHXQElOBn+IwFyILHtG08JvZV9K2k8A6iwCOljJeOtzhatqrhDFPC0bLF3TUJlpSBK6zJZJBg\nF03mLVcWuMkZK4FizpJ7/i3WZJ64toTkrQGb4bxzeP7mKYJ3eMcjB/jKi2f4rhsrfPGFU7zjxqqk\n7l61ON1O+OrLazx5gzJxPnFtiW/f2SiEWTTmYUrYjgnH6wmL1mM9ZM0UezZkHC0anGwmNQe+fDLg\nYEHpph89MovgB1YenpR573vfi7/6q7/Chz70IXzuc5/Du9/9bt339NNP4+mnnwYA/Omf/imef/75\newoY4KIKGev490bLCA059NtFMYPJdikNqeYqgKzWI8dYx79oSMKXFkDCLJT0zlaSA1DHftu1ajIT\nh791/IsjX7aJAJH6IqiatlGBJUGb1L2Z43+aeCXaaqCkaBLi+BdNZh6MGQI5/nMmKhkJ+CQNZKo0\njzmAQDSRti2BmxRHk9B1HptNbUbr+6ACR/oopeeAtbkGZVNAt8GrpiJmrmXXMG2Hw5KdqgA0jqFv\nKS3wFGWy8zjbTlh0gWhAWHB3hij0jIkvAeBw0WAzJjTBK8ljYClyyimIp5hxtKBgTHL2k+ZyadEw\nBJcc5d4By8ar1rBqG2xjxKoVk2k9aY4pI2ZyMHvWgs6mCUctCZijliapo9Yj5oxLbYvTcaKgzJFM\nZ845dCEgpoTb20mv60pPKZEF3iyPffGT1E5/a6IEip9kZWJgmlBibc62EVPKOORJVsauCR7XDjsM\nU8LLp5OCM26dDLhywJqMc7i7HvU8UySaGTiHl08G3Djq8MLdLWDGK7Hp9YmrS2QA37i1qXxLohk/\neWOlmszbri3xxRdO8d2PHuD5F04rTeZg0eCdj6zwzdsbvPORA7x0MuCxywush4gpJpydjWS+VU2G\nHP+r3qPxDbYcN3PnjBY5wjB+/bDD6XYq5sAHXB6mJvPBD34Qf/u3f6s+l2effRZ/9md/hvV6jQ9/\n+MOvur2LGYz5v/06fUlxpslMpI2kSJ873GUzTUb2if9GjrVFhJgINOfZP+PgGxIEEvVvucyoe8WU\nJYGZ0zip1iJlGqfik2ET1jRO6pMZhxFdTytHYYQGoKa1aZyq8y+WnUbbC1+Zc+BgzP3cZTlnjGNS\nTUYKaTcNpkl8MkW4TlNis1wxofV98d+IBrJYBAwD7ZOy3UbVZGxckQRviiYzDBNzpyUsRRPKWSPo\npQwT+WScI56yw0WrjnLvgO2U8OhlCtwbGREkTAPjlNCJ78yY5GTVCZDZ5mjZVqZSgSEvuyIwzrYR\nR4uA9VjyuR/11FYvzNae/DgpA48fdRhYk1lPEUNk7jIAC4kbCaESPGPK6LzH3WHE5b7FyTihDwED\nswasp4hLXYuYMxrncTwWpNmlriUTIo/bnWHkwEuKyZEcOII4y7kwRccsRKXA1QMJjC10OoKyShmK\nvBMhvxmT+qHkuOM1TbzCFiCBjCfWJ8PmJAEbvHhMQuXRywvcOhlwnYM1a1gyMQLElPFWjuwHiuB0\nAL784hmCd3jyxgrfuLXB264t8eUXz/DORw+wZj9JGxxOtxE3727xjkdWeP7mGZ4wPhmKffHqcxo5\nGLNnbX+IFNQ7xoyjpdVkHM62Ew4XDc628aGwHn/99nD/SueUJ650D7An9y8XU5MR4UFGZKN5eDYK\n+1IHqOuIoMi5wGyqY2ZLgPlvbx9mN3u4+Xcuv/Uw9rfYwEtF5IjgcAXRIya3Eow5C+R0BSQgdW0/\n5sGY9nxWiFi/koAA7HEl4FJW+HV9Mbk5h0ozknZsHYmTEYobCd4syCSoaa8+L9XVmA7nNAhPrqUE\nxZVgxnJvi09B7PtA8RvY8ZDv89veNkV7lE9zSr1vjVD3BImhInOXQJ7Fx9ExgaQ43anfFA0jfW3E\n91Z3hSZ6ZE070Hkyp2XWRlpPE70DCYY+eATn0YUSiyTPsWgwfTDBmJkCPEWz6ThdgvQXKBpMlRkp\nO6WZUR8OUAkduS3eQQMihdG5CdRv8e9YRJ+8C0L5QuZO0irlNXauHNO35P8YY1ITnQNYKDhNNzHG\nrDREEoFvIczLLpBmk8nvt2jp94LNZUq30wU0kcZs0XpMwSFMiepFGk8hC3UAcg4PNRjzISoyD7xc\nXAhzBUXek6LwvDrzbfsUNbst5/34V+zCh/fBYXcUwby7T+vkev+8nXvBmud9yHl+7LzP9vLynnb2\nnX//de+rb4+zidPKOQ0k1vTpPHiyvQ3pnPPa9uy1pD3tntd3uz3Nrnm+X45N2i/+DbMNhVSyGpPq\nPGaf2abw52pbqUOPS9bP80qajdG+60j6ycDpPKtfnXO3vVdS7ld3772X88n4v/LTveL+2GuzxXGf\ndP+e/lXAn9cyFq9mAF9F0fX3a/j7TpcLqsnI05FMhD5/D57MZl66buqIeUz8OXKchAyL7wUoD0xh\njSi/swPgi0aSXYEwm5JSQvCBJ9oSvT+vJ+kF9IHNUOe+dx4xErJs30QpfhyLdst6vFfNQiZqy0s2\nn0jmwgAQzaSwBHhfs0VTpD+xOpO/JzBRZ+FJk7bLuQrbs2gzUiyDtFwHZTmthV/i2BLwdU0xqUZg\nWQRkgpI8Ic6V7J7eZ2VA9p6c2nQeyoQq7AEe5A8ogrZmAG5CiXHRnDKxZNYkSCzdD1nFt75kjowp\nIbHDfYhJn63gBLFFN0zef1n5TykDAcrcPCaCP4+pJFfzjrQZnxNtZwe/tDumpNpJck7vdfaJM4/S\nvW7h+bxZr9OySEyR42fmz5CHjrk3QIqU6RiJV5FtgduS6wSb2DJo0p9MzusxZqxcHccip5BkYjae\nh0ynZC+zJJbjlNCuWvpkgksH0l5PNxOmSAGVI9P3DxONM4Knd8KRmVX+yH9EEOaGoc196zHFhJxJ\nwx1jQkpeWSMedHkjsTBfTCEjxfla13KOBIyYvqw/RYoPXC/OTGeuNrHZc0jbe8T8PAgNqE1eOWUl\n1RQfijWXzU1ost17rzExwYAMavOS0/PQiaEBeeJ7sWYzYz3aOR+1UyYfC2+Wz7kgC5IlUnxSxt9j\n60g/hCVaTGVz8xpQsoLOzXRWGMk1JRTfTMPwXGQyM8lkHzzdOzGniSmHBBj5qJpgJikBVZgJNmVC\nS8lv6YMw88iEm3NxendNMZctTNbEwJNuZ8xvLfN3Uf6awBOlU3OZ9DujTJQZZIaLWZBh4rshB7/0\nNeakJrEFX6dQ+QPkbwlOAAnEgZa9BBvSVFUgzOU+KTDAkIhmgGN8ysQu46OJynIJoOw5J4tQ8Mjk\nrHBoFKEtwlJQgDFRDIpkSLXPLkBAhJiyMnfLgAjL9kHfaBzM4YKAIgKzXnaUakHirU45uv+QfYqH\niwYrw3AwJuIr64JHG4Qg02tm1y7Rs7PimCEq5ItaPSz3xxtHxlxQIWPRZeKbEaExbgoTc7uohY0S\nYWaKifENocniWKPMKnTZDDzgAUwJaFriF0PiyaQIj9dM9W9oZURwCChgGqcS9GTQZRW4gPPZyIss\nqLA5usymX5a6dtKnOBmZ9Audv3PQ4M6SfnlSRFih+icHvDjvZdt2S2PY90EFkaDRSHihQsAJ6MCy\nPktA6DhS/9uWKFuCd4w+c2pbB6BO5UUbMHC+GwrqJOfrsqNzymQV2FE9JaJyl1V21xD0mQRCVlJL\ngGJBBP10yCmFjxYNCw1hIqb71fBkKqkCpkT2+u0U0TcBrZsFFoIgy5ZzTNIvH7QN7gwjrvYtsRS7\nQvV/OhG6bDNFXOk7ZBAj85gSTsaoJJpX+g4N+3FEw3EcyyMTv4AnbOK0gZ8fEdgSB6SszJHh+RPl\nAjpcEK2/0MoQIpCCFk82E7xzWDFT8ZVVyxofwdFzhrJAX+Mg0NunA64fFnSZTb8MAG+9Ss70b97e\nqAbqnKH6v7aEA/A1pvj/6strvPORFb5080zRZVNMOB0iHr3U40tMO/ONWxtcP6KA0THmilamZRLN\nu+tRaf+P+bukbZbMnxITtOqtV+vBlTeQjLmg6LL/+rEy8UtUf9PVCDERLM4X7Uao/kNbo8vETObD\nro1U23ElkNM3tCRsWtU6nHMIHNEuq72UEhrOTyOZN61QoGZLwKXVhuIUNWfNNE0aAzPXmLz3Gp8T\nQgAcsFj2HPHfKLpM6kuQpXV2SyG0mAkGdE6DLiUJWGNW4CIM7CcFfxYBICg3QaIBUIFBEf92LKAo\nNNuWHF/XrSlLRnaySg4TycIpk+PA6DKgEFxKrplxSvzdqbBpGzPpOqKhP+C0BGJGy6w5duZ+DhPR\n1Q9ToXgROLNk2nSusAS85aijFW8TsJ0ixpQVXSZotNb7CkE1pYTGe5yNEw7aBpsY0bEAkVwzq6Yp\nfefAzG2MOGwpe6iYU84Y9t5x0GrwRfMUfrN5nAxQIvFl8hZzWceZVyXGSCb/KeYCngBpKaebCas+\nVOYy7wipRb8z88yV5+POGUGarx7QRH9p2ZC5TDWZUs8Gb8qz0HDs0Tdub+Ad8PgVQovdOOrx7TuU\nGVOmgCY4nA2CLjtQnrMXFV3GDM6OFjhjJM1pwYiyKSYs2oApUvzP8WZSjrizbWR02YTvuv7gqfW/\nfXe8f6VzymOXHg6s+rxyMYXM//rf6MtO0rJAwZXdsmg0ksxMl+0sUCTi3+afmQaip5GyjyhTzG2+\nAZoGYLOWBkO6osl0fadxMt57FRbKCMCaSdM2SiMjcTJWk7HxNimR34P6A9WEAKiwOTha0YTJaZ1J\nk/Hqj2kaz+mUiyksMJ27ZLgUsxEFWYom4zSQM8bEQZr7k5aVfDPB5KQhaGrfN2iYYmWziVgsxM9T\ntCnRZIQBQDQzgVFL/9uW+t14r3E0y67RgMs2FDTRakFCV9BDRFDYaEIsoKDIUqJJQibAvqU4nZYR\nQRZ9tWFNGQ2VTAAAIABJREFUMfJkcrqdcGnZIjgYgkzHvhhahKw4gLPn6PdNTCZpWV0G1mQSClvA\nNiYcctKyK30HybEjQupkjGi9wzYmXOlb9c+MKeF0nJS65tqiZ/YCWlx4sAZjhPhcowFKKubA7Qh6\nTLaLCWyYiGVB4Lo24n/ZUcroQmwacLKZcOVAYMnQwMwmkE/j+mEHOKfw5Zt3t6qNAwUk8sQ10mQk\n/4z4dPq2aDIA8LWX1nji2hJffekM73zkAF9igsycs+aBeeRSjy/dJHjz115e48Zhh9MhIsaELefR\n6RuPtvFYcDKyNji0jcd6IO33ztmIo2WtyRxvJqy68FAm9ReOX7uQeTjBoeeXiylk/uvHyg+NgRE6\nGCNMgOKfAWib9cXMBc9ck3GuFjTzWJl7aDJzKLKN1rfmLrqEpLE2sj3GWB0rWoo9bq7JSP3Fqmez\nWKj8KXIZtg27zWo9sm3u1xHhY/fN42/EwS7CqGm81gHIvzIyZUvT1H2TWJ3SZmKWgRLvY/svkNAp\nleyMI68gdb8jW//1o4VSxohvxrOZq2HznbAPiNlMVvzDFDWQTx3lxvGv8U2xQGtFQF1ahL0R/wDw\nyEGLKREceYwJU86sQZBAAnahzJn7sI0RfQhqIpv4kzQaX3Gdtd5jYM4zugZqaxtTyUXjieRRBJKY\n1ATCbH1SwqggPjpJnyCw3JJJEzrJyzmtcBZIsgiVnIvJS/LC2GuXINujZVtlVRWHv7y964H46Q4X\nTQVh7hsPOIq4987hykGLU06odrwmzUieHXHK37y7xaOXenz7LiUve+l4i2UXNJZKTJnDREJnyRRI\nQ8xYdfR92QZdjDgUzfhsiHjrQ4hLuXk8veZjHzn6znpJLqZPRhBiMvFLca4EW4pZzDrzRaDYbJm2\nrhyr7c00GSk5AQj65FYxLEaTEZ6yEALzhkX1wwgIQDjMUkwaL+ND0Y7kePnMOSvYQXwykplTUGYA\nmJ9M/CeEELMCQcxf0ncbt2Kd8d47Y0ZzTK7JzATMgSYR/9479aM4V9I4Sx3RPpzznK0TVeZOAEzA\nWfpoUw6IAJA2AcC1JVHXGNlMFzwG8bGwxtGyoBtz5omG0jn3jdfYlrlAHqfCXdY1Qf0nyuDrHOAo\n0DO44pimtNFeE38tGq9mEvHTLFoHyU/ZeqHI92j4fjiUyXhKBIIWc1LnPQYWMOspYsUakAABRNNp\nuN5BS9xlPYMjNrEwGRy0DUX8s1CSR71xrtJi9qZfRtEgyDxWBL8ssrYTIciWTIEvwj14ihtJOVMK\nB+eYjoXMSPR8eyYsLdxlYj473Uw4WjZqPrMmt5wpoj4DuMVZNqU/IrSuHnTwDhrB/+07G/20cTJC\n4PniyYAbhx1eOt7i+lGPs+2E9UhU/ymRMGyDwxEzQ7SNx7KjFOJd43HrrPhkYi6+u9XDovqfq8MX\nuFxMIWMRYKJ5OKBaalV1UtmWGU4qQsrWlaWUfjdAASto5gi0nf4JOsnQz7Mmk9OMVJNNXiIolObd\naEL7EGVax5W61h9EJgQ5ttZgpD3aZrJGGuFSt1Mju5yTtusAzAKpLkGXMnHPUWSCNLPbpA8ixOxx\noh1J1blPKfJE5OQ6rKaj10yTp6BGSwrn+vbK+KigdcUPQmNY6oqZyjtHaHlFUjEeJWU1xYk5iyZM\nICqlf2E/jilTxk1zbYLcIs1K+u65TyVIMtLjwKmKCXFGgZmZr4H6ap38U8rIDnCOoMyBUXVgBiWX\n+ZkT7YL7INqb1UDkvujzBUr3JM9MGxxyLlT40h9xxkuQqiLjUmYznJCLZmVk6BrPWmOtmUk/Boac\nC8uAtCnosjVTAa0YfCBgkRUHWsr9smatUw7UlJTgYk4VISMLHTnnyFptZvNY452aKUXbflhmojeQ\njLmgQsZO/jbrpe7Ppd6+Y725LNGKBEBg42ScRxUgQ8td2pY84CmGw5rH5oGNsu9cqyOvvCiXXmlD\nEqLJbxEYAJtwrA0gC3S5xMOoUMt2EpA+7D6CdEw2wmVfNs0CH55fpz1e6orpzAopHXYVOrYtp1k2\nJT7H9s06d6uYII67EThtZJOTLWKCqceB2rHmnSJMTV+zxI5kSMruZAIWiwAvcF05H8CZMwWc6Or+\nWNOdJLSazJqIjtkVqBrDwxqUc04FoXwmFhAifMisU/KzUFuJIMeZtOTs6Fmi55vPzypUzsXxL2NF\nLZbnrnrWnMC4s/YFyHrPaUyLsBIznUDRM9+XzGPr4VTING0NRLC5ZjKPrwAQ7KuitC5DIUmV9AoU\nD+PVTIjgGaaccdCTz69dNFiPUevGlJEdQcAjLygECUexWwSlboLT++a4f21bNO4HXebGl4tcLm7E\nPwBNQmaTjMn2ql42+/Luvp12TTv2WNu2EUaVgLHzuD3MCBzVFMS8ltJef0tlhkO9f4c5IM+OT6ZP\n5rLsqp7qlzbmk2bd7/o665iZEq0vE8h8uK0mIkJjHmA5P04EFh2famXSaDW2jXLs/nWHnF8m5vkY\npVwi5EtMiJiH7EKAJuN5+miJU7JpmGMitmL6LrlHsuYtkfTNKWeMImgyBYrax8mhaDUAGC7sqtTL\n0o4zx00pIXKbOZNQkH9TogDDMSb6nvl3Svo3pd102HZccy7bafzMcwLzzKEWmJOYjWXxAvrUMZOF\njXlWieS0BECKdmATjjWeUIIjCwKKhTJ/ntCGA/viBF0oZJbBU1xV2/jCR8b7Ax+7nRK2I/npRKva\n8naBNsvfloM3JT2AtJlSfmhC5o1ULqYmA9QCQGaOnADHzntrPqv8Mqn+bdtzATuzo7Pnc3X79vA9\nwko1FCMEdurtyDwzgefdSdCazmxd29a8vnR23+QPmOHTyQE7wmJ+zL628n3OP79OqlZWoPacwj4g\n/apvdW1ytH2fn1+KOOnJqlX6nvJcM5IxkFW3K3WsBoQS0V+fx/ap/p4zMxXAqX5stdwEqVO2J9E8\nquugC8nmnEI/I9oF9bGsdWTfzn3QPzmehZRz8HzNCdkI39nCgP+TR9zeKwCi+GHfYzDvj13Q7Nvv\nXHGyy+vNO3SbnIOELmA2FS1MNaliXpQsoXbR5R0wptIvGWdlpHBFUx9j0udIM6GaZ0vGoHruzrkn\nD6K8GfH/eotdqlbLW2+ebutP8fU2+Q77HfUsCtxf59wjbGj77mrfAgRkAtlLfAmo6Wt+DHVpliwt\n136a0vf5S1u+u512SwZJuiy7rVDCzI9zrtYwRFhZhF05Z01tY0k06yFn7WGGZiomt2Jiy5nMWnI+\nMR/VExVdu9drI7NLcrky2cl1z4WXjJv3hVAzgxYP3pXJQwSXoKk0jbCTFTZdi0CZG3PLAk9gwTkg\n8Ker0wjbYZJrLczItYYjJiepJ5H76rQ3gx4cRfY3zqLLnEGXUbxM8I58NNWzWB5/MWt559jHU8ZU\nhTsfpzBp46x32SAVebvLRWh7fg6FOmhiExQhwHJlLgPAUfdZwSLaYQ6epuR0ZArrGq8M0NsxwQs7\ndyQNhrZH9ef0bVBH/6S0MQHO0bn6xiM4ej+6xqt21vN3B+z4ox50eSOZyy6okDECotoGnkUEqsz7\n9jnq52AA5+ogTmkLRljpUiSZJRr5Zah6rj6dc5VvRdBfNumYrmINMqya6IzZy0Kh9/mArOlO2ix1\ni/3OCh75nE/eZR1cT77iKynCqgif+XVYH4113ttJSvw3ACofTS3Qyu3IOVfOZSm1GaxMaGBibe+c\nCoLgCNkVc1ZqmH1aiYybrGpFswCgAgZgHwmggkL8MgIacI4mVuHREkFY+i5MxPSozOcHq524WX3L\njGwW6iR85JP3C3uzJefU/rGAEYRZcNxf7XcBH6gWZRYBVuDY/otmJFQ/maQ8PIoQtUzK4r+Q/kqm\nS6EXtMdY31cRZDRewrYsJsnM98w7D4DiboIjQSLCpWPzWBNp0TfGxFQxFFzZsjBqg1OU4cAajHOJ\nQQvMrC2ptvmZ3o5JY3QAFoK5CM3/yOVijkDOtZCoqP7P0UrsNiHT3PGvGP8OsH85YM10MzJNO/Hv\n84nYegJjro7JRKRptRPx19j68+OkEJnkri9HtuvQ5eITESJKu99us4784puxQqWcv9QtvherCdnz\nWUE0v1XyO8Z526k6775+yktefAS1Q9r2157bjqkIFOuDsP6huYlDUurKOImg8+ZPtEJJwewd8aqp\n+DcLE4vuA6AknuI/kW3k7C/+lyIInJrPrO9JTD4j+2iEHJO0mV0BE4yQLNfDAifXwkq1VxkTfk7E\nGT4fz8KcQPQtE9+LUVOIO72+KVJAp5BPinARqv6RtYlhSuyLyeqrke3zv46DJUloFOEhGS7Fv0L5\nYcgfszB+mzFyvZF8M4Px0WwN1Yz4XDYTCaOJ/TUt+4Kstvogi3Ov/e87XS6mJiPFUvX7AORYBI3M\nKgBvd2bfjCkA4Blxvg2oEGbik6n6kNU0RT959Y1cVvVWzqQM9eJy2afFyDbRhvaZxObaQ2XuMpOn\nhSOXbXKuetINwVUP2xwx5qp+ZzPMRXhIf2wOmTkEed6eFXxCplkgzEVw1uCJ0hdJCe2c0/TMAKoV\nMuS7CBNjYin9yDqBiyYCQNFEOubmnsoEnJ0448v5IpiFOYAU4EzHtr40MLG2kXKuNA+BuHkHJBS2\nYdGsxORiHf6CLhPtxqLQJFizYcJM4RrLDnDgWKpM0OrgHXJyO7b9xD+FGcEuJDIKFFsJNI05UgI6\nNUCW+y+JzZyjGCcV5oCa7ERAK7pMtIsZfY08+gJhnpujJEZqM9IE37cEYV60HpuRzF4CQRZI9d31\niEXrlZNOErAJFDtlNoU5p/loxilhM9H3iYMynSvjJoGob7IwX1RNBtivqQD7NRmdQcw+K6D25Zp5\nJeWcB0Qm+copr32RSjOz2kyjudf2+fd9KCn7e58DVTSAvKcfRVupTWHUVvnc51OphYGtW84378e8\nbwAqAWXbrsegfNprqjSuqs9Fq7Ea1nmFVutQ+O15TloRHDlDGQXs9YjZiX4Xc5leqxm34HY1mZTL\ntUvb4h+Kaa6pFF+M3g9uJ7CmYdFo1lzmUWhkxEwmWo0Vut7te6YsCszpuIsGMx9PEZQAKsRaymXx\nQWNZo9asJiPXX6H4+DO4krJZ/nR/ZJNXcBrrMjLSLArKzmhQVqCNTPsPoKDyuP0MqIbSMmGmmP/G\nmFQDjCxcRcj+Ry8XU8jMhYFzZZvEzdg8M/smBxE08t3W3Z05Z39pzx+K4DATt5i5ABRfjNkmZjWY\niYQuqQiOStik/cJm57edCHJtSit/sr2+5LlJbtfEtLvPrmhL3VT1vZi4ivCY92feph2DuYlM+m77\nZjUnoTqRlXXOhRwT4FgK1uRiruHImX9L30R4lMeg1JWYDJ0oUwEg2JgUm9uEfpd27Llniq5eg01i\nJj4ZgT9nFK+bA5vYct5ZKWfeJtcrUGYRMKWfTh30zkG1KLuAyNqXun35FAEhY66mslTiZmwdMp3V\n/bXHTMzs7EVbdQburMIkqSYrmpqFDY8xY4hFWI0zOPQQM5ncuO7IAmmKJDgGNsWNph7Boem70v+z\noBm5X+OUuC9ZodXCUPEwit63N81lr7FYmhgBAdjcMTmj4i6TumLbERtKZVqbwZqlvp5zzx2w9e0u\nB4UuayR/JjQZMkq6ZaDkklHzFRVx2lvzk9SfO43n9nyAhJE6/U3b9pNWsIUPzGoh1sQmSC+gBESW\na9qN6lffhq9z2tjofgEQ2PZsH6wpzoIHbL/ltshxYpqxgZuiGdicJXJdTXAMJ86qachc7w2aSlbM\n4sQtjwhV1uh3FkSCJgKALKYztboSsi2mLPGZSnwpgk2KPF0WOSbjRMgyG9Hvqs/GS24Yp8GplFbZ\no+V9AJvqkDElSljm6TYju0SBkpkNL+Qv1+uX9NIyHCJoRHDqPl+0I0Goeed0jBrvtC3P5iSzNqrS\nORPPnIn4T8UcZvnkADJR5pwVEZa5b1J/ywJBGJOFrHPZ+hLxz4wCx+sRizYo35g48dsQ1AQo8TXC\nHhBTVtPZFIUhnCiRMoCtmMtmQvVBlTeSfnRxNZmdNMr8ZzWZnXpzjWWfJjOrX5nYcv292ldrDvu0\njbkmk3OuNBmrbZQulHaQ62Pt/upcqhHsDxjVVaj5rC55j8YjZRcoMNc6bN2kx8i+uaP/PGd63ebu\n8WWsZqvnZK8zq2lIj59rIDxYCeX7fJzq6Pz6GuUa6uDS3WuZazDyJ0+bCJfzfG8ZUA1G+k6fqZpQ\n5Mzi3ykxIFk/yz5GdYnPA7NVrYG26+IEBaZt+zXXvnRfltgeGr8CxijoOKvdWN+Zk7E1WpBoWWIu\nq8xg5k9g3db0NRrTGQVcOv0+mk+pMxpzmWReHWNSNvPJgA4mvi7bpmURkG1yvdaU9lCKex1/3+Fy\nMTUZKTkRqaXVSizTsmgjmnDMsjDzMfLb5pWxgsY3UOBA5j+rwaRMTt0ZaaY67Hl2EaZlIbrU4rCT\nY0bq55yJHJMTnwH1JCTtJ0Hk6Co9I8ZIqQQMw7M1vc01mpwzpimineW1sQzLzpnMkc5pcjP6LCzO\nlE/GMXtyyUcTQtGaYiwxM2VOzkqmaZOreV/y0VitsGgx0PwzzqHKPSOazJQKYaashusMmaTVSD1J\nSiZjMUzMGJyLz0cmxMLCTKSafes5yp5W55vJIyYg+AyfBF1G7V7KFOW/CGSKKflkiJkZKGSVUkSr\n2kwRi4aSsbWBVvatp9QAC35ehO6fTEEJq4Zyw4imsY1RWQPE/5KRmdyTrq/3JZuoaEACvZXnQtBh\nbVM0D9EuPYp2BRRtUHKvCNw456zILXm1Fgb2GwAmzASOlsUBbwEaUs44QdrRsq2CMSVD6q1TYmG+\nekB5Xo4WRLZ55aBVP4nwjt1dj3js8gLfuk35Zm6djZpP5qAvmTq3Y8JmSlh1Aesxao6j023E5VWL\nu+tRiVVPt3TOu+sJh/2DZ2F+Izn+LybV///yDH0RewpQzGOWsn/O0KzfxUzmsUPzL/UsLFqOF6p/\nOV/TQROY+QDfNGqiyrmwLNvJX8w88r2a+NmMJia0uUAoJiLpI8oyUi/TYXmw1D7Y1M3Sj30Cpwid\nYiKTUkxRu3VqDrK6rkzS1A8RVE4Fixxv0wvI9mJyo5QB1iRoQQGS+tneZvvbs+3dAbh80NFEydcW\nU0mkNX9M5mY02RfMGEqxMRvC6CyZIr0r+WSCR2Fmbj08gCvLOhGbTREQXH0P9PpdHScTmAxTHgXS\neFA5l4UlOjin0GWgpG5uGXGm5jhXnP6tdzvX3Zu0C3b7fLJPLMTbpsTJyEQrJqyBTVcCKbaIMEGt\niU/McsyJZkHnrc1lQj4pSehkbDpJ7+2K+Y1ILyMzRcdC9R8TVn2D7RhZI4Si4SQQdmBosmXzlvYF\naRi84wRrLSZhBuBra4LDYf/gDUanw2uftg+676yAupiajI3mV5OVWdbK9mwHy9c+GduWHsfwZrsd\nMOfKtSDSeoWOpjJ3zcw98+872+yuDEgInhU0drLR+tbchXub0/ael4vQ99tz1uaw2qRTm4f21XV6\nzBzJRaateT/mvhhrvpPfu+Y954ofxgo6va6cK01Atu2Mp/YdSG42NsgIKAzOHvvHUiHf/JglFA4u\nl8nBLpOt+mRyQYpJ/8m3g6pv83Nl8zs7YQ0o7VVmRDmONRhpUUgzA98zz2OQ+HVJOSPkoEGrct1y\ni4s2KdvLQgR8Hrlvzu4w/RGfDZn06ufSOTkPE22msvgQJJ1tNrBGKbQydqEjCxQn9wAM8TaLBJvW\nIGfqV0GYJWUSEOZt0fDkeZOFizJqNyW3kIXBr4eofqX/6OUVidjPf/7zePrppwEAX/nKV/CRj3wE\nP/mTP4lf//Vf1zp//Md/jB/7sR/DU089hb/+678GAGy3W/zcz/0cPvrRj+Jnf/ZncevWrVfes3sF\nXZ5XX4WPhS8boVT9zvWxO+2ZOufY4l+pwLnf5H/esecdf27b9xiquW/lvHbndezvfdXP2/aKb5uZ\nvO9X515Kt/gF5Pt5fZz7xPbVKW2ei2KndpCrsckZyjqQzF827QhPGH1HEQ62bXOO+e98r/p7+in+\nkbKgoYWK8KiVPhf/3L3uaebzvJL7e786sr9a08EsX2Q/Zn4jszgRs6AzwlWEJ+2HCqOqPsxiShYy\nsnDgcXazPxlPOaYgAcUvZhZv9oIeQpn37dX83a/knPGrv/qreOqpp/BTP/VT+OpXv1rt/8u//Ev8\n+I//OJ566in8yZ/8yX3bu6+Q+cQnPoGPfexjGEdKDvTss8/imWeewe///u8jpYRPf/rTePHFF/HJ\nT34Sf/RHf4RPfOIT+K3f+i2M44g//MM/xLvf/W78wR/8AX7kR34EH//4x1/BJaIWDGUpRZ/i8E9x\nv7AQ81eKNcxZtu2ca8YGYMEFcxgzZIWeKFsloBH8cNCgypyy+lws1UxKCTHG6sGTrJe2vp0I1bnP\n3wUYIOcBgBhjBTqQdqUfsk9WfDHGaugs/5NAkJO2ncwLWvLEWISYRO7HmBD5OuS2xVgg1PrSa9vF\n/0HJ07L6cqYp8fei5VgIs5wrxqSQ4pyz+mMAqOnCHlvGgc4/pYSJ+dkmc+1WuEwpsfOZ7uXIPilx\nnAtLsHPFXCZ/cn41rTinJhYPegFjJtgt/SU9p3cEuZXIedGgyIGdEDMwsM8FgPpehpj0r/FezWli\nQgreq7lMcs9If8X8KPBwuXd0z82igDUJge0CUGivOOsFYSZR+CmjYiX2jNYaJoIlD1NhXR4milfZ\njhGbMWLLf5sxUdKwQIGUmyFizX8brrseyCTWc3rkrvE429I2SUZ2NkScbidsR/KxnG0p18x6IA6z\nMaZSb6BP4UGT1N8LTtntQBk9M8indLqdNCvm3Fz7wMpDlDKf/vSnMQwDPvWpT+Hnf/7n8eyzz+q+\naZrwm7/5m/i93/s9nfNffvnle7Z33xF48skn8bu/+7v6+5//+Z/xQz/0QwCAD3zgA/i7v/s7/OM/\n/iPe9773oWkaHB4e4h3veAf+5V/+Bc899xw+8IEPaN2///u/v/8VArXWEadasKitxddCQQRDHEs9\noEajCRDA/uVskGpm5p1rUqms9sT/YeNExDkvQsP6R9Rxb1ZjMUaFIct+qT9fuYuAKjEMuQgnA3+2\nwsc5Bwtt1mMw8zdESRudddKXYqPzZVKWTJrk/C/b5mSUOvn7QhgqwqNum+pJe1JfSDal71HHEAwW\ncPrnXO3sF4EiaB8LI42MRBKBJyaWkbNfFs2kIMoEXBCcmEQkqI/iMzZMUTLFTN8N1QlAE3FggbGZ\nEsZEtPFjIiCAc4SEaoJTh3pw5NDvAvlYcs6IvFjYxoTAtrbW04SYchFQLfNxtcFjGyM2kfsUE4YY\nMcSIbYzYpoR1jBQDEjO2Em9i4juUvibVcULynASGKOfM52XfhYypcyQMusarz6TEvpB5StIcd0zr\nItQuFKkfSGDw36L1Gr0vEOJVH3DQByw7+lt1AafbiTJT9g1BkxcNTrcTDheNHnO0aNA3Hscb2n68\nKcKB4M8Bh32Do0WjEf3rIaILlMvndDsRsixlHC0apERCqGcWgUucQvphFPc6/t2vPPfcc3j/+98P\nAHjPe96DL3zhC7rv3//93/Hkk0/i8PAQbdvife97Hz772c/es737+mQ++MEP4utf/7r+tqr6wcEB\nTk5OcHp6iqOjI92+Wq10++HhYVX3FZWcAZvdck5yGVhYSCrlKlbGaDIeNUjAIs9sqfR1jsvRJRyK\nhmQ0FuQE3zTs5wiqrUh2TAsMkGOyI3tDdoKeKseklOBdARLUdmtW62fxNDnROYSkc96eRWpl0LXk\nTLDqBKGGKYg4WfHb2BhBmAFQodA00vc6jXLJhlnic0g4hGKTN6t7QaRJ2wJfbhrSapzLijiTaxOh\nUPOecQI1NmEIMmqMCa2T+BaqP0dxeV6h02TBycDYPyNVSUhACQ+nmNEx7YiDm+U8gZJDekemKOcK\nkaVTFubiRLcBpCJoBYW2iQnLJmjfc6aYmDEl/RSkWcP3TaLPAWDRBHbuM7ULTzLqcxBtxlPWTOlT\n0V6KliTjUWs0YAbiQodPoAiwozwrX1nXOBUc0pZNox1TiYsR/8hmFMe/eUUzcLhokAGcbetc96KB\nLju67rMh4hKncb68anG8nqhOJl/aqgNWPWfD7IKmTM7ct8HwlLXBK1UMxf9QHEwbHO6uJ1xaNuSD\nycBB3+B0M+Fg8XDc3vMp7EGWk5OTaj5veJ7z3u/sOzg4wPHx8T3be9UjIAgoADg9PcWlS5dweHhY\nCRC7/fT0VLfZzt2rrP/hd15tt94sb5Y3y5vl3PLoUVt97pbztr+ysg+mfNA9PFzVQ5JdAFDN2wBU\nwMi+fXP9vcqrNhh+7/d+r6pHf/M3f4P3ve99+P7v/34899xzGIYBx8fH+OIXv4jv+Z7vwQ/+4A/i\nM5/5DADgM5/5jJrZ3ixvljfLm+XNcjHLe9/7Xp23P/e5z+Hd73637nvXu96FL3/5y7h79y6GYcBn\nP/tZ/MAP/MA923vV8vAXf/EX8cu//MsYxxHvete78KEPfQjOOTz99NP4yEc+gpwznnnmGXRdh5/4\niZ/AL/7/7d1LKHR/GAfwL8ZICKnZSJFLLkspJXU2EzIbMWGQYnPGJRSNSzHlkuvGRGFBjY0FKzbI\nhlm4LCip2ViINDEJaeKcev6L99/krZd35B0zfp7P9tTM79tM88ycOef7s1hgMpmg1WoxNTX10adj\njDH2hfR6PRwOB6qqqgD8uthrfX0dHo8HRqMRPT09aGhoABHBaDRCp9O9+3hBeTMmY4wxMQRndxlj\njDEh8JBhjDHmNzxkGGOM+U3QdJcREaxWK5xOJ7RaLYaHh5GUlBToZf0zqqqit7cXV1dXUBQFsiwj\nLS0N3d3dCA0NRXp6OgYGBgD8quhZWVlBeHg4ZFmGJEmBXfwnud1ulJeXY3FxEWFhYT8i8/z8PHZ2\ndqCQ51vlAAADBElEQVQoCkwmE/Ly8oTOraoqLBYLrq6uoNFoMDg4KPxrfXJygsnJSdjtdlxcXPic\n9fn5GV1dXXC73YiOjsbo6Cji4+MDnMaPKEhsbm5Sd3c3EREdHx+T2WwO8Ir+rdXVVRoZGSEiovv7\ne5IkiWRZpsPDQyIi6u/vp62tLbq5uSGDwUCKotDj4yMZDAZ6eXkJ5NI/RVEUam5upqKiIjo/P/8R\nmff390mWZSIienp6IpvNJnzu7e1tam9vJyIih8NBra2tQmdeWFggg8FAlZWVREQfyrq4uEg2m42I\niDY2NmhoaChgOb5C0Jwue6/KQAQlJSVoa2sDAO8d9mdnZz5V9DidzkAu/VPGxsZQXV0NnU4HIvoR\nmff29pCRkYGmpiaYzWZIkiR87uTk5P878QiPj4/QaDRCZw5I3dY3FTRD5q0qA1FERkZ663ba2trQ\n0dHhc0XP32obgtXa2hoSEhJQUFDwx8JPETMDwN3dHU5PTzE9PQ2r1YrOzk7hc0dFReHy8hLFxcXo\n7+9HXV2d0O9vvV7/2+aEvmb9VN3WNxU0/8m8V2Ugiuvra7S0tKC2thalpaWYmJjwHvtbRc93tLa2\nhpCQEDgcDjidTlgslt+2exAxMwDExcUhNTUVGo0GKSkpiIiIgMvl8h4XMffS0hIKCwvR0dEBl8uF\nuro6b3M7IGbm176ibuu7CppP8feqDERwe3uLxsZGdHV1oaysDACQlZXlc0XPd7S8vAy73Q673Y7M\nzEyMj4+jsLBQ6MwAkJubi93dXQCAy+WCx+NBfn4+Dg4OAIiZOzY21vvtPCYmBqqqIjs7W+jMr3Hd\n1tuC5pfMn6oMRDI3N4eHhwfMzs5iZmYGISEh6Ovrw9DQkE8VPaL4SC3RdyVJEo6OjlBRUeG9ajIx\nMdG7L5OIuevr69Hb24uamhqoqorOzk7k5OQInfk1rtt6G9fKMMYY85ugOV3GGGNMPDxkGGOM+Q0P\nGcYYY37DQ4Yxxpjf8JBhjDHmNzxkGGOM+Q0PGcYYY37DQ4Yxxpjf/AcHyucKR0MoZQAAAABJRU5E\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(D, zorder=2, cmap='Blues', interpolation='nearest')\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we similarly construct a distance matrix for our rotated and translated data, we see that it is the same:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D2 = pairwise_distances(X2)\n", "np.allclose(D, D2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This distance matrix gives us a representation of our data that is invariant to rotations and translations, but the visualization of the matrix above is not entirely intuitive.\n", "In the representation shown in this figure, we have lost any visible sign of the interesting structure in the data: the \"HELLO\" that we saw before.\n", "\n", "Further, while computing this distance matrix from the (x, y) coordinates is straightforward, transforming the distances back into *x* and *y* coordinates is rather difficult.\n", "This is exactly what the multidimensional scaling algorithm aims to do: given a distance matrix between points, it recovers a $D$-dimensional coordinate representation of the data.\n", "Let's see how it works for our distance matrix, using the ``precomputed`` dissimilarity to specify that we are passing a distance matrix:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LS0MGLAttQ+Sva7B3dkarzcPZ2YXK8nJObtmI3NKSmswM1I6O9Jo0tcksZflP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8aJ4QHejB9w++8BRwVH8lJQhCiR2kOUSD2feR5VsDMAfgMiaa1uJGJSx9jL3YzsyzuO1xwxqE3t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\n2nYMo23HC5ey3P7lWVzqYiklDZDw6V3FAy/fc/Mbe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import MDS\n", "model = MDS(n_components=2, dissimilarity='precomputed', random_state=1)\n", "out = model.fit_transform(D)\n", "plt.scatter(out[:, 0], out[:, 1], **colorize)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MDS algorithm recovers one of the possible two-dimensional coordinate representations of our data, using *only* the $N\\times N$ distance matrix describing the relationship between the data points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MDS as Manifold Learning\n", "\n", "The usefulness of this becomes more apparent when we consider the fact that distance matrices can be computed from data in *any* dimension.\n", "So, for example, instead of simply rotating the data in the two-dimensional plane, we can project it into three dimensions using the following function (essentially a three-dimensional generalization of the rotation matrix used earlier):" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(1000, 3)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def random_projection(X, dimension=3, rseed=42):\n", " assert dimension >= X.shape[1]\n", " rng = np.random.RandomState(rseed)\n", " C = rng.randn(dimension, dimension)\n", " e, V = np.linalg.eigh(np.dot(C, C.T))\n", " return np.dot(X, V[:X.shape[1]])\n", " \n", "X3 = random_projection(X, 3)\n", "X3.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize these points to see what we're working with:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ziYIs+yihb7agAJJZwDg/MFC6Vjbf+ehHb+OTn/wkPT3LALfALN9DozLmYKe2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EfM//XCxbCJl8/n2j1bL3U+zzeWXM30ao2bV2Ov5sa7Gvt1JXN1rbHkemDabK6lz0oiSfKSaMHa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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits import mplot3d\n", "ax = plt.axes(projection='3d')\n", "ax.scatter3D(X3[:, 0], X3[:, 1], X3[:, 2],\n", " **colorize)\n", "ax.view_init(azim=70, elev=50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now ask the ``MDS`` estimator to input this three-dimensional data, compute the distance matrix, and then determine the optimal two-dimensional embedding for this distance matrix.\n", "The result recovers a representation of the original data:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LS0MGLAttQ+Sva7B3dkarzcPZ2YXK8nJObtmI3NKSmswM1I6O9Jo0tcksZflP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8aJ4QHejB9w++8BRwVH8lJQhCiR2kOUSD2feR5VsDMAfgMiaa1uJGJSx9jL3YzsyzuO1xwxqE3t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\nCM1B3Cq3EncM7UxJ67UNr4sCN9JtaJtmbJEgCILQHMQVt5Xw8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = MDS(n_components=2, random_state=1)\n", "out3 = model.fit_transform(X3)\n", "plt.scatter(out3[:, 0], out3[:, 1], **colorize)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is essentially the goal of a manifold learning estimator: given high-dimensional embedded data, it seeks a low-dimensional representation of the data that preserves certain relationships within the data.\n", "In the case of MDS, the quantity preserved is the distance between every pair of points." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nonlinear Embeddings: Where MDS Fails\n", "\n", "Our discussion thus far has considered *linear* embeddings, which essentially consist of rotations, translations, and scalings of data into higher-dimensional spaces.\n", "Where MDS breaks down is when the embedding is nonlinear—that is, when it goes beyond this simple set of operations.\n", "Consider the following embedding, which takes the input and contorts it into an \"S\" shape in three dimensions:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_hello_s_curve(X):\n", " t = (X[:, 0] - 2) * 0.75 * np.pi\n", " x = np.sin(t)\n", " y = X[:, 1]\n", " z = np.sign(t) * (np.cos(t) - 1)\n", " return np.vstack((x, y, z)).T\n", "\n", "XS = make_hello_s_curve(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is again three-dimensional data, but we can see that the embedding is much more complicated:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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SCOXyMGaVxaaDSIToC/90gUgw5mNdCTQ2t9DQ3MJv3FZa7Kn4bfGYhgF5ZQRa\n65FVBdP0c6yyjX356XzjA4/wR9//FVXBJIYSk9CSktBS1pCZkYRafxm7zcoD2zfOPfAcNNe10/R8\nItJwAhY5ncEaN5ZNXpLXSDQduYRNTiagB3H6S/Aaw8j+BEzNT5KaTPu1FlzO2zn6vWM8/snteL1e\nTnzNQ0bgAKZp4ut9lT7FjWlI+I1hLAkQXuMN1+ON3CzrK1up+m4SSWYRAG/Xn+eRv48b8XsudVSm\nIBbMXclIJ3IPamxs5NVXXx3d5n3vexKr1UZxcQmf+MQn2blzd1Tm9MorL5GUlMTf/M1ncbvdfOhD\n7xOCGS0kCXTdh2EY2O3OcUIZmmCJRVcol8LfF+keEn4PpmnESCijz3T+VVW1jgroct9gK5paudg1\nyE+PHudK1ha0kE5woBndYsPIKAjPebAXqWQTcks1/fnb6fa1cdhro+xKJYGkbOJy1kH1ZXxxTiSv\nG2lQY01pKY3dPWyJj59zDnPRXNVDieMAV1JPI/XKWAwH1dKvWJ+ZTUFx+ObRWjmIM+ilLniEUuNR\ntJBGp3kF13ApAX0YbSDceaSzrRuHpxis4X1vKbudI/XfxgylEhdIZ6O5gwG1iu13JSFJ4VuHaZo0\nXx0iydxM5DNM8m6koeISW/asnTDXheUIrqRl0JXIysixNE2ZsGjK3H//w+zevZ8XX3yBM2dOk52d\nQ21tNU1NjTQ01EdNMO+++z7uuuvekfGNGRutR5NbQjBlOSyYmhZ+Io5UtImdUIaZWIItqrsGpkaP\nAqiqDVWNnVUWjTJ8Y7mUgUn+VetI+b3gHHtYLGMPMrIsjSydT3w/FU2tfKcb3LZcTm5+BLmnBTPO\nhZZRCJ4BSM6E5koU/xCq141VMslWdZJS0rAkJHG4pobt27ZxorWfQHoO1s4G7ivLpTA3Fc0/TKLN\nHpV3kpHv4orUweaSvXSlN9KnX+KxP11HX4uPnpNebIqDpBwbrd5LJLsSud74azSrl43yE7QFT+Md\n1Ijf52V4eAinK46KhgukDe1Gsuhozl5KnLdRWrqd1r4qmnynefjpFEo3bJgwB1eWhVbDTZwc9lcN\nK+1k5qUzvxZpkc9jOXIEVzMr7UFiYlpJSkoKNpuVvXsP8PTTH4rJiHZ7+Bryeof5m7/5Cz760f8Z\nk3HGc0sIZvjaGzvBNC0cTLJaLLHJTJdmIUkSuq6t+BvN5MbTKyGXciLhpcaLXYNIGRu5fOkqRkIe\nRmoe5mAhrSTaAAAgAElEQVQ3UkoGUu0laKnC0ENYe9vItCuojniUgS4siWF/nCEpJMXH88BaJ9er\nKmkOWKnzhnCfOcm71mZTUFAUldmWbSqk5/FrNB5pQUmGvXfHUba+GHOdySvtZ+m+7ERO1bj/ozZq\nq+oJfS8Rm7+EhuHf4HQ6act8Ae2kxKVv2enzdGE4B1HUGiRNpc17nAfy/weSJJGXuo6UUBY2Wz0A\nHvcQL371Ov6mBNRkH5YNR/E0ZGOqGusetpCZs3bKXBdWfGH8a1YGK/0aWykMDQ2Rlhbbqk2dnR18\n5jN/xhNPvId77rk/pmPBLSCY4eU9faQyT8S3tzR5fNEsig4zdxBRFHUJrLLFMVXkZ3tYWXzax2Kx\no+P3+Qil5iB3dKAjgQlmSy2quxcpuxiLDPGZ2UhGkKysLNxY0Ae6kdtD7HfJDOs6A7099Lmy2JZu\nkp2ShB4qwDrUxK+v1uHGQiIh7i7OxulYeL3N/Q9uZP+DE/8mSRIPfHDnhL8Vrs/CLB8mJbQR2ImH\nFlrjmkg8+l5sUjwpAY3G4eNk7E0kK7EUh6+fPqWSVDNsUQ5nXKawLNwM+I3vVZJUd1f4HO+BXuUo\nT31l7ZxVokZ+Gv3b/EXUGFczdbms0ZUj2qsBt9tNScmamO2/r6+XT3/6j/mTP/nzqC3zzsVNL5jA\nqFhGlt5Wm1VpGAa6PnMHkTBLJTI3Ns7kfprzyaUcH8UaS4LBIK+UX8enaewvzsNuUbne2IiqSNy/\nqYzKI+eQzHSyNTfuy6fRFQXNMNDW7sGQVNS0DAISqJJGEV6KSkqxNvew16VwSUqg9doFcPewZsNe\nslPDDZ1lReFH56vojk9HU1SykxPxXanhPXu3zDHbcPpIZ0cXznjHgnoMpqWnsPWZQa6/dALTkCk8\nKNP+XAI2KexLlRSThFAO3e56Ml0lpKzT2fW7OrXHT4JF58HHCrHZwp13tAE79nFCFRq0L0i45k5t\nMJgchTmzNboyl3RN08Tj8WCz2UaP383L2HGPdfPo733v23g8Hr797f/kv//7W0iSxJe//O9YrdaY\njXnTC2a4mLgNWZbQ9bFuHEs0+sj3hd3552q1NWGkJRKZ+Y4z09wVZWWccpqm8W9HL9O1Zh89gx6+\n/JtT6JpGQFbJzMvn9pqT/OmDh0h/4zhnC0vpLng3nWeOEpeRTWt2KV6PGzMpHd/lE8jZeZT7dcz6\nBg6qGm/263QEoSMuDc1wkHHlLJkH76a5tZW6yusM2FMJFu/AlCQ07wD09/GeOeY7POzlJ587h71x\nKyHLIMVPNHHonXOL7GQ27CxmwzjDs79vgGtHq0lhDVa7So/1LGXrbfiLj3L/B0tJSk6mbPPUh8vE\nsiD+Wh8WOQ7TNHEUDd3wXGYjktowJpyRyFxYaKL9coio1+vjla9VQnM+ur2H9b8rsWlfcRRHWCkP\nBlNvCLFuHv3JT36aT37y0zHb/3SsjLtXjJFlBVkGw4juEulcLHRJ9kZ6O44bLfLqBc52vsw+zvRz\nt91g0YHov5eBwUF+fOwcpzsHyMjNJ2mgjeY1t2OTJGo9ftybDuKpvopRtg1P7UXaUkpp//ZPWb9u\nPXlVx2hPKCGxbBNtphW7HiToHSTY6sOWV0JeSiLO4V48XjdvB4ZpsNsZUB3kZWVhzbRBu0ztsddh\n7Q6s+Wvo73Vj1XWsVhteA1RrHKFQCItl+mCttuZOvvXHx8mufQLNppFekk79L6vZdKiPztZenPFx\nFBTnTftan8/P8/9xEV9DPNZUP3d8OJ/s/LF6rfc9sZ/B7jeofrEcwxLgdz5awO0PbB1pIzZzbeK7\n37OdI8o5BusV1OQgD78v9o2cV1LZt/ly+vk6UjpvQ7KFl/QrnrvEul1aFCI6V/7y8M3WPBpuEcEc\nY/l9Y7MxWWyYZweRlcBCu58sBQODg3zpZCVHnBvRt7hwVJ8jN28bnqqr5G/bQ0hS0DSNkCShKgqG\notDvTOVMyIk/dwfVzW7yC0pRLFb6r1/BbRhszs2i+9IplNRMCqxedq1fw/maemwZGZjd/UhZRfS4\ne8h0GaQkJuJXiynOSmN4yENmSjK9nn7U+ARcATfbku1YLBba2zr43l+dxBy2k3+byXs/9SCSJHH0\nv5uxd63FarqQgzK9zT1YCpx8/29Pkt11P8N6H6kPnuSxj+yf8t5f+a/LOC/cS7wkwSC8/vXXef/n\nJxY4f/Jjd8HHZjp60392kiRx55PbFvnJ3Ahz+UYXmmgfWdKNjLFwa7SjrRNP/zAFZbmjS6+GT0UZ\nty856CQYDCxJCsRyc7M1j4ZbRDAj187YcuLKsjCj0QQ52gFG82WmXMrlLupuGAZfe/F1roaseIaH\nCGYUE7LGocgqQ/kbkQNdZAx1obn70Ht7MDtbILMM092PqRsodZdwZGRimgZm8Wb6WxrI2ridNZu2\nE3jrOR6Iy+V6TjLXZTut3iDqhXMYpkJecQGqaXCyvQ5ZVSlVLCSH/ATt4UutLDMNra2T+LZa0pIT\n2Z3m5N7iXEKhEP/v+89S0vkHmKZJ69UKnpV/y+MfPkjFa4M4egpo9V8n074WwwKd0jHKmt9Ff6OO\nFCzgas0Q2ZsvsfvA1gnHIdQbh3Xc5xDsjsPr9fLit87huZaCHBdk9/tdbNpTuqSfT6yZvzU62SqN\nbBd57URrdCbhfvvXV+n+bQ5xZHIh9TIP/O8iXIkJZG22Un+5A5eShWEaKAUdxMXdjP0+w8du/DUf\nrid8c1VxuiUEc4yVZaWtxg4ikXmFA5FC09SqjV5fyoWK/9HLFfyfV87RkFSALIHdmU3K4DBW+tBt\nORAKYAb9/N72UurbrtKsOxlKTkauP48R8JNRUIxbMskuKAMgXwnh7K0l1Owg0T/Ih+7bQ5dfp7zX\nwJaQQ9CUqWut5yGjA0WWKMjLJY4mHIOdlBoG23MTuNLczuuXL6JarBxwyvzOowdwjIuMbahrJLFz\nD0GvjqSruKT1XPzVWyQlXsNhpJNiKcIttdOgvYVzWwVbDhTT+U0NWygVJIgP5XHy2demCGZcng+t\nMoQqWzBNg6bOav6fxwIEOzJwZsC67AOc+sYJSjb7iItbeKRu7IjuA+BirVEwR5arxwTU5/PS9qqL\nDEs+ALbB/Zx98RR3v3czG3cVI8sNtF9tQ3FoPPDIhhV7bceCm+293lKCufRW2PTjxcYqW5rl5sh7\nMQxtNL0lGkXdx7OQY2CaJm9fruDo1Qp+0qfQllSIKavoGTmYQ/109vezN06mtyNAevMlfmdTPnds\n2cHp/suklm0j1TQp2LqLobd/zTPFVhr6hjg/2IE82MFD9gC/9/TvMjw8RFxcEYoi8/K1BnqxYI93\nYge0/HyyNCgabsStS+xLsbBpx26uNrVxuKqVSwGVvNw8rKqC1d1CXNzEwgXJqUn0a9UkGhtBCh/f\nwf4hgl4oTd/N5f5jaJqER2pj7YZE1h3M4MI3z1HA/eimRp/zIsXK1PqtDzy9g8P6UTyNDtp76ykZ\nuhc9kIBkJtPfWU+PqwlLMIfBwcEbFsyWhg4qz7SSmGln16GNq/bmeGPpLuHPRpLGlm0DAS9dtcP0\ndXZjoJNWaiVVG4sCX7+jiPU7oj3rqRbdymMlz21h3FKCudQ+zLGTOTzezB1EFm+VLUWUbCSXMsJK\nKfwQCAT4yFe/TbmrmP5uN8G8dSN5kyZ0txNUFEI97TQ3XeDP7tzJuz78LkIhP919A7x9rYZmpQC7\nqVOa6iI/M4v7d28DVEKhcHm+SDDO+BD5rZkp/LCxEbIlTF0jVffhtFnZV1Ywuk1tWyvHNCf1ShBv\nQRHV7j72ZMbTbWQyNDQ0ocdkYmIilp2VVJ/QsOiJdHOZVN96Ki/VEqy3kh+8k2DAoFp5HvfhQt7u\naqPoPW7an38TVbGyPnUHCdvKpxwbVVV59CPhTpuv/ihA4Fc5DDqG8PUFiTez8QSu4CgYIDU1HHH7\n2k/O0/KWCmqIre+ys/3g9PVuqy41cPIrEqn+u+g3BmivPM1jH9m36M9ypTBZRE3TxDRDvPrDS3Sf\nTgDFoPQBg30PrKO6vIOO9gHyB3dil+1cKX+Te/9wGNPUWMnpLtFipubRS+0eWgpuCcGc6sNc6vHN\nGZYvo2eVxfJhYLoSfLKsYLVGp7zbYvjtyTP8xYvHac7ehLpmN4HB15AK1iNJCqYWhBMvgGFgyjKD\nux/ize4Gnhg55t86c524vXcjV1zHk5RJc+UZ/vehstF9z5bPlZOWyocLuvlNyzXU+ERyA33szssm\nfEmZuIeGeL2ykU5XDpKhhdNs7E68fi/WoA9FsYxb2gt/du/+9D7OfMVK32UnxdoztLneoLj1A5zg\nx2gWA9NqZ6P1Efq8Z3BVb+DuT/moXdvNYHOAxIKrHHps9uTttXuyePOlK6SmbMbQPdT436R0v8I9\nz6zBYrFQfqyCnp9tIlVKB9Pk4jcukbeul/SMtCn7uvLyAKn+cK3aODmJ9qOJaB+KRvTnyuXiiWpC\nx3aSJbtAh5bnGinY1ENfY4hi9R30xV/HNCBJTaf1UhfBOwIEg0H6OjxcfdmNqcskrvOSnBFPXkkW\nrkQXhmHy6g/L6b2uEJ+pcOA9uaRnpy73W100uq4v+4N0LLh5z+5pWZ4oWdM0Rns7rrxScDMTnvfk\nykKWkfcSyyfl2T8nr9fLf758hFermig3nQTe8X40Q0e7fALScpEMHVXzEdJ0GOiBsq2wYS+D7XV0\nD/tH99Mr2bElprB+9wG0oUFySGF7WdGM407mHZvXs6m3lx9eqiOYUcAv2rzc4WsjJ9nFLxr66cje\nRK1hw+Wuxdpay7A1DskJuxyhkSXZSMF8k9d+XE7neSvdCbX0OZyYcV1sS78TDAlHXALF8dsxepLR\nzSCqVSIY14fLlcE73pkz76NaUJbDvk/Xc/31oyTIBh97YgNZeWMRs131XpxS+ujvCb4ymmsuThHM\nI7+6yPlft5Hf78GeYpCWkwiyzkwYhsGJVy8S8hvsunMdCa7FF51fDjzdGnZ5bFUgQcqmq/UiaWVW\nqs0u0uWNSIpEn+MSnl6NX/5lO8awjbrGSvavexhPX4ALP+kkLs+Px1tH2o5hut3tuM4+jo1E+u1u\nfttziaf+PnnCku9qZGhoiPgoNBdYadxighkm1ksFY8XFl275Mpr+2am5lPKk6jwBlis1Z3h4mI/8\n5884raYyLKcQyC6B5urwP9NzoKsVpaOBdIcNn6QymJoNW27HDHhR6q+iuMYK4eeZPrqNcAUo1RFP\nkarNPPAMlHcMoK7fRX1tHW4ULjc18nCuCzNvM9nAcGcPHRYH+40BdrlMNhbmEh8fPyFa88Thy/T+\neCcuKYUE8xDHpO9TlrobWZLxMcCax4ME6s7QVD6MPzRESVYB698XmrCkOxeapuH1elm7tYh128YC\ntwKBwGgKRO5aF5elVhLMXAAGndcoXDtRkBtqmmn6QQ5lrmJa+6vI6NpGS1wFpX/gn9a6NE2TH33h\nGI6L96BKNn780us8+YV1JCWvvnSDwk3JnH2tjiQjHFE84LjKbRvzUVSFZ5N+TELjXiRJIZhaQUJv\nAZmO7Qx43RQOrKe2+QL2gWJSzfXUVr9NmeNuek6fxd+ajcXhJd6eiSVkp/OilWDQi81mm7H4wkxL\noCsJt/vmy8GEW0wwxyLkYnezNwx9Qk/KCCth+XIuJqe3TFcwYSn8EjMtndc0NfOJ7/yK82oq+u4D\n0F4H7Q2w9RBY7XDxCFSeozgzlYcO7ud0VQNVW3bjvXYCpe4iJdv3sTd17IHl43fs5NsnTtOmqWTL\nAZ6548brUQYlmfqGerrSCpFVC774VE40nKNkpI6AOhDCetVDgnuA9R9bM/rUHe7KEl626q4ycEhp\nQLjReEHyFvq2PofDTCNtk8ZdT97HhWPVDNSbpHgK0KROskoyMU2djpZuXv1mPfqAHUtBH49/bO8U\nIS1/q4qT3xxGcieh5Z3kA/+wj4ZrnZz8TzfSUAK2tV089Td72Ly3jP73X6LprTpQQux7MpGUkZJ+\nEVrrunEZh9BVE6/ToD1wjMxDtdz73ifx+/288p2LaIM2srYq3PbgFmoq65HO7cYycv5n9t7NyRfe\n4MEPLE3tz+hhUlCWje+ZZmrfPgWKwe0Pp5PgiuetX13moXWfoCOzDl9wGIt1FwGvGxwQ57Thlv0E\nvQb6QBB3oAObZcQXbsgkqGl4Az1gD9+XNPsAVquNsfvUTMUXwnOKXI/La41OFXCPx33T5WDCLSSY\nphm+EUtSbHyY03UQUVXrtOIZOxb2MLCQPNClcujXtLTy02PnqO/q5qQWT6uajJlVBO4+0HXYdAB8\nQ6AFkdLzSJRNSqQBChWNh96xkW8fO82VuCyy3vsREloreWz9WA6c3W7nfz1wiFAoNK6f6I1ZmWWu\nOJ5v60ZOt4BpkqD7Sc3KRW2ponrISedrNkoqM4j3HuInHS/yzL/chiRJ/OzfjtFzPBlTCaHn1pNl\n7MUmOwFQMwd56s/3ExeXMBJsYvKLv26kqPUpJGRCQwO89e1jlP5TPs//cw1p9Q/S3eRhaFji88/9\nins/mcc9795BIBDkF/92mss/0sgL3AG6gnp1A1+q+A6Z6dmU+B8DwLhi8PK3X+WdH9vHoce2wmOR\n4zD1M163o4grttNQsZm4UAkOKcjA1XY87iF++eVyEq88hEWSaTzRhaFfJHuNa8p+Vq5dNDfrthey\nfsfEOsimEbb8spPDludQoI8W12XM0B5sdhuB7Mu0tVVjMz0gKaT4N+BxtpOQYcVQdXq8tfRYFPxK\nD/uecSHL4SCz2dNdImgj207OFV3eJV1hYd40SMxW8utGmUkoZysuHitu9GEgErUbCs0/vWVpLsLw\nGBdq6vnsmQbqnIV0DA+BrMD63ZCaBddOgmqDgBd7Zz2k56MkuFBr2mnbupdfZWzmcNN1/vqeA/gC\nQTrdFezZW0xmWuqkG9F0Y8//IK7Ny+JgQzMnPV3YFIWi7DTiOwZ57+ZCvvXFNyg7d4hUJRskMGuK\nGRgY4PLxenp+sANLyIVig9BQOp69v8HdlIvsCHLo6cTRXn+SJFF1rRapMwt5pGmzJZBCe5WXUMhA\na0thoGcYZTgFhyQRP1RK7Q+c7Linmzd/UI1y5G4c3goUbwpByUOc3UF8z0a6BltHrWBZktEGpgY4\nXT1Tx/mfeUCTKb1H5fZHtpKWnkLC/pPUV5hIVpmk5ERy/L/HmTdexV+VQfKIbz5ezqD9QgW3P1zE\n6X1vEzx7J6ocRyXPUdRn4/jLlzhw/5YbLsyxlJx7s5KGoxpIBhsecdB8rY+Bqw7kOJ1d70mlZH14\n6XrLO/J5+dRp0of2YJg6gTUX+MD/OMiZ50+i+xWSyzpZW/cUAM3d1TS1n8WbOkhZ/joSH+xmY0Yu\nQbeP7PWZlG0eK3E4c/EFg3Cz5sj/5l9Pd+J+Y4fbLSzMm4KwD4CRps4LP3Fma7UVi/Hmx/weBsb7\nWMf6Uka36EA0+N6pS5y51EDIXg+KDA88HbYsGyvAEgddzVD+Bvb995AaGmBNZx0d+QUkrg3XNQ0U\nbOCV+rP8yX0HYjrPp27bReq1Wtp0FUdXP46qLn76Uzdd1f1s1JLCdcMBLaEHp3M9R35URW7fvSBJ\n6B4DXUtlx5257DkULjpgmhMbBGghHSnei29wgDiS8JjtOEoGsVptqJluzCY53A/VDCFZdWyBdAb7\nu/C3x+FUHATjujGHTSQUPGYHjgQ7fktotIPPsNlJ4baJD3jdnT2c+BeJdN89DLt9nHitllO/eJ57\nPryW4g05WPO3Yx2xiAOGm/gkO6ZzCAYYeQ8mSnwASZJ46s8Pcvroec6/UUPq+XdgP1JKy5sDvNB8\nmkc/vDJTUWquNlH/g0xcZrgYwWufPU6qs4R0ZyFIEie+cYq8f0zHarWSnJrIg38ucfX4KVS7xF13\n7ERVVe55XzhV5/Tr4K4JF4/IT19DSlIaaz/eQtmGogVeb5HXyEhS+HNbWK/RMUGOznU/cUnW5Ypd\n4fXl4pYTzMVyIx1EViKTfawLi9qNrR9Y0zS+8LPD/LC8DnPrQbDYwoE9tVcgvwzcvVC4ATCRSzag\nVJ0hYdMOntpcxHcGrBMeGVRz5ujNxRAMBunv7yMlJRWLxcIDm8N9/069eoXK720nwcxho34bR7u+\nSXHaVhxZBnufcYZbPAVT6ZErSDM3IEkyLcYpPrBt14xjrd9SRsHdrfQfu4o7qBPIquGP/upuAB78\ndCE//4eX6D6dgNVmZVPGQXqKXiEnbw+2nDb0Sxpb8+6k3PtbPHoXJdkbSU/JZtP7uhhqP4zhsZG/\nQ+a2B7dMyBusudpM8vAhAsEAw20KKeY2uq+6Ofevdu79kpO6va8zfGIbJibW2y+x+9BB7LY6jn/9\nDfquqQwqDZS2JNDe3EV2fgb77thGzYvgsoSXLeOkJLrOOODDcx3p5Qkua6nsx2VuGv3d5dmAm7qw\nYAKWgRwGBwcYHtCoP9+HLdHkwEObpg3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qCs0Xv1l5fQOcjrdhm5XGoD/IYFstFbkThZPJ\nZKKwNJ/BzgPIikSReR5WzyEAVBqRxqEjFCe2ICsKDe37aXy1mub6DlyGXDLmqrnujrGUiq7DAiYh\nAwCNaKC/0o63z88LPzhNvNOMNivAkntsdDeEcGQZWXdbSlOW5ThvPFtFb5WAyhJj80MV2OwpM213\nVzdDA0EKS/POW55NrVaz6f7FE94zGo2Toqq1Oi2SEBt9rSgKiDNFdXkhXP2uopnATNbdvGYEpiwr\nQEojG8FMlNq6kkE/k3Mpz66AMjMpLOPJ0c9WZNu6utlx7CSvxgxYdXoURSGaVcbv9j5J4/xb6PUG\nkAQRo3s2r5+o5qObU8Lv/utWcf91Y+0o//17ntj7PBGzHZUjg2whyh1Zeh7+6N38Z3UtyZyU2U/T\nVsP8RamizZsWzGET0Nffz/ebx8p4KYrC5CSasXB4rVZLRNMzQstJUomhmMITrj648xSHHrHgjNxK\nXX8jg+pa5jm2sPvlEyS+XsPidbMnXH/r3y7ksc6n8VfZ8YaD5DoqcAllxPbm8i8f/E8WDf0D4aE4\nPeFdlKUXYE64qPrFTqxSNiPuNGfrHNqPbadgVhbxWByDD3RO3ZT3xGgwskAqommgHXNYwaY2UZRT\nMEqxdzZGUj3GoyXQjX1WSqs0WE30D/onBaoYDAYWfBxO/kZAE84gOmsP9z6U8r0OdkYpyqygrf91\nYn4Bq5iN/2A5/W+5iVrM9DytJhLex833p7RmwZg63EVCMfw9CZpVfXzvgRqWaD+OXdQRaY/x2GtP\nsyrzPvrx0nn6ILd/cgW7XzhB92/nEffqifrgW08/xQPfm0N3Y4COp3LRJ/N4I/8wH35k7qggPR9i\nsRjdnT043Y5JPu+s7AzM6w8SeFOHTrAwmLGPD95ecY6WZgrvrA/z4jBzwnwmrWnXjMBUFIlEYmwT\nFQQRjWYmK4i8/Yf8YnMpZ65A9sT0lR88/jQ76toISTJeRzaWwtl0hAawdveS63YgiiIWtUh3Xx9S\nRiEAgXCAt0438NHNG6bs4Vsf+yC6HZVES5chyRKSJJHRX0O6282nZ8m80VSNIMCGiizsNtuEACS3\ny8XC2mNUhUyIeiOm1mquO0d+o6LIvPy7fURtbVSH/4JBZSdqaeVDfz9xUzz5fABnZC2yLGGK5uEV\nW1DsCq7IfGp2bGXxuont2h1W/vbnN7Dj5bdo+7dN6FQpGjklJqJtmYdgE4mFkhTFbqG+fysL02/G\nIuXhtRzFHUtphYIChZIdVY0fu6ChuHD+ee+K1WxhgXkOAIlEgmPt1cR0Cuo4zE8rxWQ00TfopTrQ\njKwTUIVklmTMwWRMjW3k+ent6aU37CXsD2Lyq1lWsmBCP9fduZAlm4IEg0HS0q4bFbxFczNoswQo\niCwjGbLSL57GksjFmSinzfcmhar17PrZbjbdmyo0vfHjhTzbuo3B3ZkklDC5znLU7bnUmvdTkXEd\n4cEkpnjqMGQU3HS8bkN6GPpOiigBE/FeHRq0WHsXsft7Q0iSSJGqDDRg6riRXY+/yu2fXsb5Eu87\n23p45f92ou0sI2buZOHDXSy+rmzCfG/7xDLq19QTDETZvHD+OQ8h1yKmKjU23m0x3cjIyLzi/svz\n4ZoRmIKgQqVSI4oaEonIjN3QMQ3z0r97Lhq+s/lqx/U28s1L7+xt4q9/+iivlmwmtukW5OpDMNCD\n2DeEEPITam0mFAqx0t/A329ew64/7WIwGkVQqbH0t+A6DxOIoiiEVTpEQUCtUqNWqYkMV3HISU/j\nI+kpzTSRSPBfbxymWdZhRuKDxW5m5+Vw36pFLGhqJhjtZd7K2Wi1Wk5WnkalVjG7opSUsIftT+6l\n8xeLWcsWmmz78ZoqefBHFSxcUT5s8h6+f8NmOEEQQEiRX4/UJhR05zaDr7huIcf/8CoZLXcgCAKd\n1p24yMLvjSAmDSSJIUc0BHxhpGXHueWhTA79/iWIq8lal2TLXesmtdk/6KXH34dBracou2DKfivb\nq9GWe9ANP3+Vp86wpnAxNf4WHHPGfGunqutZXpASiDnGNE41ttFnCGIp8GD32RCNDmpbGinLKZrQ\nvtlsnlQguKQ8n/6/q2Lvo9V4AwY81mzU3QWEZS86tRVFUYh1mPnBwy9TutLFnZ9axd2PCPz4A5UU\nsgGn2cVAMISSSB0EZUVC1kbG9ZAqh6a2RwmEE6hIaYNx9RCO0DwaY3vAOU4oJjWMDzIKhcI8870T\nRFqsaJxRbvhsDgef7iTNewPogEQmlX9+g8XXpSJjTxw6g1qtYu6SMkrKCxkJbHkf58d7tXg0XEN3\nP+WATp0ME4mZtHtfuhCbml3oYmj4ZgZerxdJSmCzOdlnyEO2OlEQoXwF7HwSuXg+Qt0xdEN9uKx6\nZhnA6w+QrZYwuh1o1WpUaU4WiK3n7EMURQqUEC2yjCCKSCE/s82TH9cXjp2iMWc+gigSAB6vP8nX\nc7IQRZHyopQ2m0wm+cnnX0TYfR2ykOD1m17g4X/biCAIdFXHMSuZKIJCkWkVjmQmFlcvqfs1xkO7\n4n4nr5/ejbl9CT3qEwQ0LfiSbUTKDvLg3yyi5ngjex7tRE6omHWTlus+kOKGNZmMLP+4hb888jOU\niIbC1QJ61RCBP7ox4OGU9o/YtZnUpf+Wr/7wFhxOG0vWjdz3yVHVnf3d1Kl6sZW7CQTDDDZWsaRo\nMklDQgva4Welp6ubHl8HaW125LPcetK4LjxON/ktAQKaGOaAgMOeDoJIhInm6fNh5eZ5rNwML/56\nP00vDtAZq8fr7SdfXE2N9Bx2inA0uYm1u3lGeZXuSiBggWg6vQEfpuw4SuZxjnW049W3Y5HySMpJ\nwqoeCm+NIYoiNz+0kJ8eeY7Q3iIUlURGZgZRRxPuPD9SbRKVqKFfd4K117lJbXEpofnK/5zGfmoL\nDkGAEOz4+WuYHDoCg0ECPTIoAv1pIWKxKH9+5AjWhvXIikz1/D3c+4/LEMV3/rf3bsB7tbQXXEMC\nE8b73Kamc3qnMTVpwsXnUk43SYLX2883//wCJzIXMBAMo2t6kSFLDoICCsOLKyWguwlFrcFpt2Eu\nnU/l7j/zinU2sWW3EX3rZZZlOrm5wM09a89fReTh1fPYevIUflSUmrWsnzdn0jVDshphnC8urDMR\njUYnBG+8/Kc3Mey+A53KiKJA5BUz+68/wqrrF+Iu0tOBHx2pH3gsrYGMzGJSGe0wstlWLCnmxJbt\nnPivftKN83Go1xPZ8Ayf/dd7CIUivPhVL5m9qfqSVZU12Nw1LFw1m2g0ys6feklbNBdNhgp/e5j0\n+T4a5vwFa8cyVhsfQIWW+NpnLirtoDXUQ8IF/T19uNLceI2+Kf2R6njqOehobyfqFLCUZzKgh869\nbdgK0xFFkUQ8gTE5UYLmZOXQ1juIPSeVLxfxh8jUXLq2cNtDK5E/LhMOh/ntVw6gOqlHaS1AsvXh\n0qWCbWp3BSjx3Y8la4iGvtcQJS22RdVkkUPy2HrSfWYCUjdPDH6Vz/2/G1l/Yyq6WFEgd7aL094z\n4LegrYix5D4HFctuZtfTb5AIiVy3Ko3iObnDo0n9LpIDBnSiOPrTjw8YcS3uo/ZPnbiUOSSIEAso\nPP6fr+Bu/PCoJUesWk/lviMsXlPB+QLdZhpXw+F5DGNjea8Wj4ZrTGCOIGVKm5lIt4sRYlPlUl5N\npAk+3yA/evI5flk3QPi6exFFEZVZg5hRivzyb0lmFiK4s1Eqd6OLhBDOHEEryLjv+ms07bX0xWRk\nTzYaQHPzA7gbdnP/htUX7Fej0ZBtNRIPxIgmklMSJZSYNVQH/ajMKZNfetSHwTDGJHPkzdO8+L1a\n5nTfSFQTweTQoFVZCflTwV+3fnQ1v23bTtOrAkM+P46sEIN9Hkwm64RgMEVR8FU6mKu7dfS9vtoG\ntFo1R/fW4+heCWJqM3VEZ1N/6HkWrCyjr6+XeKaK7OXDm3cetPS9yoOPrOb579Zz2l2NkuVl7Q3F\nUwq+8VAUhZqOesxFBQB0nz5FutpOR383/ZFB9IKG2bmlCILAopxyjlVX0xvswWnOJNPsRqvVkpab\nhVLjI6KW0UYUynIm+nY1Gg0VpgLqa1pR1OBULOTlTM2YdCGIoojZbOaTP1pP3ekmnvtONXP6Pg6k\nzK2CI4Q8mMSkdjA/83oScoysjTEO/CyB0WdGrRhwCIUUR+7khZ/sHxWYz/zwCPp9W1goiMhGmUTW\nVhauTvkdN394IvlDS0M7Xa19zF5YhLUkTqQ6glZlIJmUaOk4Q+8fHMSTvUTMPZhteoqENZzc+RsW\nShEcw7l4KkFNMj6yX0jj9o4LEy9MD66mw/7ksbyvYb5HMTM1Kkd7m7J/WU5ewVzQK+fDTCQSPPrk\nX3jiWA099lw600uQzQIYzMg6I8pQP4rZDnNWQHcL2q2/5obSPHLWLMWjxHFqBPxd+1iR7+Ebg9kM\njmtbuai5Cbx+ooZXNPmoPQ6keIzuPUf42PqJG+LaijISVTXUdndiJMkdy2ZNOKRs/2E7FbEHaVS9\nRknyVsL+EOEVW/ngjSmTqSAIrLmrjK6tA+TG74Qj8KcvPM/DvzHjcDpG2xIEAdGQnKBbCLoEoCK3\nNIv9pjr0kSWAQljwkpmnASQ8HidKvndsXYUw1kINFUtLaP1mJx26JMb8ufQFIjx7YBt3r7plytWo\nra+lrq2R3DWz6PT1E43FSIgxlJNN6NaZMOZbOVJ9moPHqimx5zI/vYzlhQuQWsHg9Iy2o0JgUUEF\nhxqPM+iU2ReuwdIlsqxoLLDHZXfitFmG5335ZBsajYby+WXo/8XIaz/dStKrx1g6xN9++Rb++C8v\nYj25BVDwz9+GO2amN9BCoaICBWRFRiKJ/7SZQzurWbaxnEirGb0M3p4ASlKkd1cU+R8nHzZ2PVtJ\n8+8zEQcXsT26D886L451rxD3OmloaGAB96IgUS80YfXno5JjDERD5OVt5EzPAUqSy3FmWPDm7OTG\nNeMDn5Sz/p2avSi1fu/8gXemEQgE3rMapuob3/jGN871YTh89ZbfeTsQxZTVUJZT2spMFUyWpASK\nktIaYYx0IJGIjQb0qFQatFr9ZWqVKZOuIIjnCQy6MP7w4jZu/e5/s81QSNeim/HHEijBABTMgdqj\nCLllKPEI1J+AgjkI4QBkFtAfitAVipMlxPjiB29lZWkBOWkefG3NVCV0YDBjaTrB58pc5KZ7zjsG\nSUryYkMv4bQCQEBUqfENDrCpMGPCdYIgUJjuYWluGgtyM9DrdKOm7UQiyp5f9+IKz8eotdMm7KU/\n/xW+8uebMBr1QOoZeOLnr6PbswVRTBViFjpz+PNTj1H1ZITuQCPlywsAsOTIHD14HGnIwKDrCGu+\nYCKnKB2rzUrM0Ux9yxkC+kZct9Vx28dXjyZuDybbGLQMkjQMoS3sYX5WOhk2J7vajpK+pgydyYDB\nYaF/0Eu5KR+1WhyeWyr45dE3nqS1NIkvS+H4nkNYHTYsBR6MFjN9TR2ULq6gvq4OU0U6gsNAWm4W\nzQ2NFDiz0SVVtPS2I+hVBLoGKRTcDA75CBSoMbvtGGxmEmaBREcAh3U8bZk8YQxXAg63lSW35LLs\nnkwWbixAp9OxcFMeoZwj2Na2M9gbJvbUDZgSmRz0PUZCieKlBlAw2tUIgooFm7PY82IlQ/uzEAMO\nlKgGb6KFhKWb0gVj1UAURWH7d3qweCsItWtwhCro7fChEXXc+60yAh0Kuu4y4kEZ/0CYzngV/oiX\nQVMVS/JvwmVPp9H8HMUf8nHzJ+aj02mG10NDylwvMpGRaLRnxvhV5XGvx3D5e86VvzdvHyPzE0Yt\nMpWVlQiCikWLFp/3m1czTKap07euKQ1zog8TZs4fMVbd4+wCzpNzKS+3H3i7GuaZ+kYe/MUfqStb\nC+WrYflNqUVzpsOxnRAcAlFE3Pci4pnDJEsXIzScQPRkkxzsw2tOw7v8Zn4x2Iv60T/zzb++D4DP\n3Xo9cw8fo6WvntVLiinNz7vwTATQyfEJuZ664bSac2Eq9iPn4iGSL8exqNPItywi+6+S2Ow2YrFU\nIMtzv3qTqt8LFA7F0KgU1EYFX7iHXNVmMmPz6flVC4fmn6B0bj4HX2jCUpHAec9ONt+1Ftsw3d7g\nkI/sxVaW3piO2TSZUuuO9TdS2XyKqFrCJBlZUFieomqUlOG5KSiyjF6vIx6P0N7vpSM5gKCIRNp9\naNdkY/E4kGUJ7+xBYgZI1xsJDw2h81hJxONI6hS7D7KCAMSGMx/SXB7WxKx4ewawWzIxGk2caq5B\nN662o85kJJIMXvCeTAfUajWrNy1maGiI498fwCaY8BgK2VD2ANta/gOHUoTJYGZJ5t1EhJ0kEgli\nPhXN0jbsShEJwuRp5jFwunZCu4qigCQSCSbQyMMHAUXE2reYupPVZC3U0nCgi8iAmXSxgqirnSx5\nOX2JOiQ5iUFjpmROLhvuXDzc3hi37OUXax4vaN+uSfdq01zH+zAD2GzO81z77sU1JTBHcL7E++nE\nCAcrXH11Kdu7urnpv5/Br7aDWgM6Y4qaTlQNL5SIZqAbW2cNCZMd3U0fxt/agDR7KUrYD4dehZVb\nQBBRnOk88VYX3xzX/oall879+YFZ2fym+hj91kzM4QHuLnSd89qzDyIjpu1PfecWnsp5hVCnmpIF\nGm5+YD09nf089vV9xHuNnDlVz1I+S7XuRczxPKKxXiRRoSx6E9FEDIspj/a6g+z8fx2kHX8AnSDQ\n+sZRGks7WbTGxpm2BpqMA5hLndS3nGJuKI/ctFTahiRJhEIhTCYTS8/KZVQUhRWuuRyqbMaS7UKM\nK6QF9Axp/bTaglgyUgQCR2uPk2VcAKRo+Cw6EwQTCL1R8iwZJIQBjr55gIAQw6GKUeBI+Rs1Y/wc\n6HQ6stIzR1/nebI51FCLozj13mBDF8vcE3MPZxKnjzVw6Ll2+npMOG0JNBoNWsWKRtTijizAGS/m\niLQNLV5+dFeCaEcaDnOCwvhaAGRpCLUjOqHNSDhCR/QUpr4MrDEDA0IdskakN1bHuiwHWTkZKMop\nXvtZC2p1DvMyV5GMiLR29jIU7yaR0cz190+mBjwXLq481qXUmJxaiM4kq83FYepamLm5BTM/lBnA\nNSkwZzJfUVHk0YdclqVhwgTdtArKi/1RBYNB/rD3CDFF4MU39+KvuB48uaDRwhtPQaActHrwdqGq\nOYinqIyM0jl4V92RMmnb3GTv/jWrnAZ+YjBBRkGq4SEv6sTlmvMFMt0uvrYhA78/gMUyG51usplk\nalIH3ajGrlarWXtXOS/9tIqWgxIHMqt489E2bG/dh6IozB2Kckb7CgvN9xCWBzlp3Ymj9TqQdMiK\nwonYy5j3NmKpvAthOK3AFVzMqR3PsmjNHJqkHhz5KSHlLM2i7kQ7uWlZ9Hr7ODxUi8ptQGqNsNBS\nTJZ7zJwsCALzSspx9jnobO9DJQvMK13CybYzWIpGKPwEFm5ayf5te6m4ew2dDa301bdh05qJaR2E\nE2qiyRiLN6wiEAzQVNdAqLcHjT7CovMIQIvJwoJEIY3VqbJkC2yFWKbQjGcCzXXt7Pq6gjt4B4Ky\ni6aOWvJyCjjY+xQLE58ioY7SIx3HH/CTO1hEoX0NRyLbcBvzaWY7JLWoi+u479MTa3G98LNKFsU+\nSUP6EY60/BJNwopzqJDTseMc3ZFO1oMZrNhUQXaJi+3f7gOvQszSxoZ/1jJrhR9PWtkVISi4nGLN\nU/tFrzaBORnvB/28xzATNSonF6AGtVo3rQWoL7bdYDDIV371OC91BpHX34265RRD+pxUoWabB7Ra\nyJsNJ/ZASzXOimU4HvonhPY6Eq2nxubjTKO0YgFfu2sDz3z5W7S99QIYrYi9rXxqxeQUkLcDtVqN\n2z2Z6HpyrmqK1CEUCmGxjG10oVCIX33iBBn1H0QAduw6TLs8yAIlZY7XaNUoUurwErE1YTFbMBpN\nnAm9gIiaoNxF6Z7PcUL4HW4xJYQkJYHeNpyjeXZu3vDrE74GTKVuetq7MbpMVHbUku7woFJNPChl\nezLJ9oxpfxaNie5gBJ3ZgCCIJANxPlS8mdce24M8x8K6Vesw6vW0N7Yy9FYDc29dgEolYLdZWbR0\nEaqqIRYWVoyu0bmeCZfdicv+zpvNTu7pwB1MCbs5zg106E8Sue0xrH+xYY1kAgJOCmhU3kBWUgwy\npRmLaHdso6QwH0d5kA88fPekeca6TBhEkTRxDhZxKc3iHooMqxCFtbz16P+w5SMSKpWKnIIMPvQD\nMw3Vp/BkOcjKOU8F7ytkBr1ck+7IdeOJNd754KKJaSVW65WpzHK14ZoUmNOpYZ6dSzlywkxVEZkJ\n4oHzn0IjkQgf/tWz7HMsgNJsqD0KizYiREOgN6V8laWLoOkUj8xz82zprfhKliLHIqwdqiMjy8qf\n/ANgcWBoO83tBS7UajW7vv55vvSbJ+nz9/LBZYV87Nabp2V2Yyk4IzZHAY1GS0tDF7//4nHk5hyE\n7C7u/XYpFYtL+cN/Po+28lZiYgJRDcbOBfTJrxERk2iNIlqDiHlhA4aVz3Ljmix2/sqFuX0ufZ2o\nQwAAIABJREFUdmEOIhrOqJ5FpzLhytfSObQTVcSGemkVH/nUjQC440ZC/hB6q4lAr49sMbVRBCIh\n+toHcczK5Pj+E4hxBblTRb7kZF7B1IcJSZIwanREjzQTTNMhIJKHi6L8QlZIEeLzx07tBWUlRHta\nCftCWNypPuPRGC5VKjp3bL1Sa/TOpUCcHyaHiE8JohNSuZ5Gk54Nty7jldpmEl4/mrgVmSS9+sOU\nWx8iFo3T4+1E7dZiK4vygYdXTTkffXYIuVFGrRGR5ASKKoEoqIgrIVToSSQSo4cXs9nMguXnPuDN\nTPH3SzHpjuBquM9TpZUE3tcw3wsYee6ng3N1cgFqAbVag0qlGdaERiLmpheCcP55vbT/CCdnb4Ro\nDEJ+MNlAFFFpNMjBQWSVBl1rNR8tcfDZBz7M5pZWXqvei0UtcP9HbkcURWbv2UdTxxCrivNYMS+l\nzTjsDn71vz55Becx0QowVUDP+FzVZ799ivSq+1NfroEXvvMUwU9Haf5VAUqyGxNZxONxZBK4NEXU\nKi8hiCFm3arif//7fWiHyzdZnQYeH3icvv1WElKcHMMCkkqMso0W7vxsMeFwCKNpA4ebq0AtkG/N\nJNIeYSjhI1NW4/MPcmjgMN6+Hhyrymk5WotrXh5CRMJhz6K9vZ88/xC2s07g/oCfx468gCrXgs4i\nMitqZmXZmLaTbnVR3dWDJTOlFfrbvSwqLqe1u4seXxeCKGL2CZSVpVJbLtXUN9NCVFEUGuqbSC+2\n0rxhK4N7i5DVUQrv9lMyexWmrxl5zrCdjpNJFHcfn/uH5Zx6eS/HX/KRbq4g3/8RQn8ZYof7EDfc\ns3RS+3d8fgnPKduItxlp4ATm1sX0KWcIWmqZtcn0ruGDnbo0WpKJEbqXYtKdfm00pWG+LzDfQ7hy\nGuZILmUicbWQDoxF5E4FjSgiylLK/Np2BsIhKKjAlAxRkuHCXtfFIzevYVZpSoMqzc+bFNX6gTUr\nicfDl5W6cik4u0rLVFVmkr6JG2ByUM/pPT3kxe6kTvs69YltiIoGr6qGVbpPIwoi3lnP8fkf34Ak\nyaPpPTkFmXz58TSqKxt49UcdJAZqkCr286G/vwGtVoter2dr/V5cS/ORkhIvvrmHAtGDSdDy0mAl\n2lIXKo2avs5OpD91YCl0wYAOuS+CYitE7zDh7w4wEPTRFR1AK4ksLKzgz5VbSbtzHqIoEuzzUVvf\nS+mAF5czFeiU4U4n2B6mfaALFCjRpePKTJlVk8lUmpQmfSRn8tJNfZM31+mDoij87pHXCW9bjErR\nk1jWzH2PWdHp3KOmvMzcdD71Hx5SWpSIIKjIyOkitFuFW5UyjesFGwONUz/rer2eD//jSG3NRezb\neZTmYyfw5FrZePfkeqLvHozcM2FCWsnbi9KdHiGaCnR7n0v2PYMr4cMc03jG16WcmnRgJnymU40v\nEPCj1eomnKZvWb2M73zjxwyt+hAUz4eaw1ie+C4bb76VzNY6/tfH7sDtuDjf1kxMJ5lMDFeYP39k\nsXtxhMDRADosJJQIjoV+rJkWhghSqr2BpCZOg/AKJVyHKKgIC/2krzk3R2r5wlIqfjt70vtdvd1o\nCmycPnGKts428tfPJZTQ8cZre3FUZJO2oIC2yjrMFRk4izLRaXVEfEHUWQaG+gehK0xQo6bNE8ZS\n6iQmSbz85k7UedbRQCWzx0Z/8wDReGxC3yU5hZRQOGlM48tvnY3LT4EYr81cmc218lA1iVfW4RRT\nUai+HVv41oE/kGefi3NdN+48E0pSZOWtpbg8KQEajUbZ/cQZWgNxdEIOFpuRqDJEWuHFjWXVxsWs\n2nhZw76qcWVSXUa+f+lWh/HXXoix6t2Ma1JgXi4mpzBcqK7mzEXlCoJAPJ7ga395kSPGbPSxEA9m\nqrlv/UokKYkkxSlasISIUUUoMoBxVjnXeRR+cvf6S+hjGifA2GEk9X/pIqq0wMf/+Wb+bH2NwVoV\ntrwE939xCyqVip+efpau3R4UXYRNnzIgiu101zSQUSRw0/0budR7YtQbOFlVhXlWGlnlFUiiQMgX\nQu+xIqEQD0YwptkI9Q6h1+rQi1qUEFj1JoJH27l54Uaeq3yVLm8QdbMOt9mOLcOEIRTG29iDJEiY\nPVYSLUNkXHfxaQ2Xgovzl41obldeQwkNRdDJVpJKEkmSUfwmbMIcsjTr6Hy0kw5zM8WW1fxh21b+\n6j+LcXnc/OHrb2E9fAfZmmbOeHdidkaY8wEDm+65MMXitYpLT3UBzmt1mOpeX/1Ru1cS15TAHPNh\nvj2Nb3IB54kpDOfCzNWphF2HjvHVZ3bQ6y7E7NLjXrqe/2k8wXVd7TidqXQFvQjZnrTR35ExcKkp\nLtNzAJjKvJ06jOguuCGLosj9X9g86f2/++GdJBIJ1OqJ0cnxeHQ0FeVSYNAbsNttRKMJlEAEk82C\nzmjAJKsZ6hjAlu0iMhDEZDIRrO/DMbcYk9mFtiXMpuU30T/QT73QS86auSRCMbob+4gPBMgRnHSr\nB9FmWGjccYKPFG+cFFE73RjvLxvjSx2r9nFxZj4Yr6EoisJffv4m3ft1iIY4130qE7PVyGHf48wO\nPIgsJmhiO7NMy4mEoxijWfh0NQiCQGbXFva98BI3P2gnVO3BLqhIMxSTllNMZOGr3P3Z80W0Tgeu\nnmCpyxnL5aS6pK69kOn+alqnK4trSmCO4dI2/LNz/S49l3JmNMzdlVV8+lSIwJ1fROppI9rbhnBs\nD0RC/Pb1Bj56wzqO1zczUFtNZ20jnnVbcPa38JF5b49c+0pihHx+jAFJNZy3evmRxRrNZD7UieQV\n49s/f186nQ632oY9L4vTx0+hmmUkGY5Tqs1GE1E4+MdKwmIcxWnHY7IzUHeK8owS5ucsRq/Tc6Du\nGOW3riAsx9C4dcTDMdT1AZKzNSyfuxRJklDdXEbLsS6KmLro9Uzi3JvrxWys8NpThxn6/VqcpHyx\n2//tFVSuAAutH6JZ2I0sK4SEFkzCFgYGQvQmT6MfyiWojmC0ahE1SioVyxqCyFj/KstEooLpxdWk\nRU3PWC7XpBuJBHniiSew2+2YzWai0ei0BFYpisIPfvAd6uvr0Gq1fOUrXyM7e+b2r2tUYKZwIQ0z\nVcA5MSnX72qpS3k2fvLafnxNXdB4BjRaJE8ug12t6FdvYUdmOs/9zy/pyZ2LfMMnIDRE+r7n+NnD\nd+JyTc5zvBhcCZ9s6jASG6e1q9FotMiyNPre1QSVSsUsVRa1tV3keDIYeKODhVnlzCovpWegD7nE\niqMgVdy671gLN2Yvw2gYKzXmcrroCMSwOc0kpSRJdMzLyaRTDCGIAn3tPXhDAyR8QTJbPczOe+eF\n5tkQBIGW+k6e+/YZEr1GjCVDfPTf1qDX63n5j3vY91QTBhykl1gQDDHMOBnZYDXtpQwKb5CmMjPH\nfj0A7VlBTgV/hegtpV+soyxxN35fkMCy17nj3jUIgsC6zzjZ/ZNXUA15EItbeOAz716e0ncLLsV0\n39TUyK9//avRa268cT15eQWUlpbxwQ9+iLlz51+RMe3evYt4PM4vfvFrTp06yU9/+h98+9s/uCJt\nXwyuOYE5WaOY6pqpCjhrEcW3RzowE0E/h0/X8kZ/DG55KJUq4vfCMz9Hd8MHKUr3IIoirSozyqxl\n6ABMNprL1tA/6LtkgXklDgtTEQ9M1NrH+9CuHlQ1VjOYDJKj2Ci1F2JZv2J0PdqHunEsThu91jo7\nnfb6TsoKxsqNzc0qo7v2GFKxiKzIaI8PsXj19UTPHKavtYtBVRhzcRrWnGyaAwHMPZ3kpGfN+Dwv\nhGceqcF1/B4A5DaZJ7/3NPF4gsSTN1IQuZtO5TC91QLRskMUM4gqZiYWlumwHKZ4MUReHsIg2ogo\nPvLXy2T056AJbkRRNtAePUGjfz9lUTd/euQgd3xxMTX7uhAwEvc0seH+bOyO92Zi/LsBY7nlIwJT\nYM6ceTz66O85cuQwTz75BOnpGdTV1dLc3IhGo7liAvPEiUpWrEj5rSsq5lJTc/qKtHuxuOYE5ghG\n/CvjcbkFnM/T20gPl9HGuaEoCn+oakLJnwX24SogRgsaixVjyym6kxEMBj2KJKHIY2H4QmgIiyl/\nWsZ0vrGeTeyQ8gPPtNY+/p5cXL97Tx3CV6TCmu5hwB/mRHUNa8uXj36uQ0M4GkerT1WliXgD9Awm\naJZ6QVKY5ygm05PBJhbR2NSOIMPCFanc1jWzl/HsGy9iX5uBKaHDYrYgWES6j/RelQIz3mlGSkrI\nsoJGoybQpiVyJgtTwoQiC2SxjIbQdpQWO5Hbn6HxSQca2YgnPpeh+uPM+syb+FtFskpg072reeqX\n22mJ7ydXsxxDMBeT2Ehmy50ozQo/rv4vSn0fJXOY3GDPD3cxa3HwPZu6cHG4uixcgiBQWFhEPB7n\n0KHDfP/7P0aWZXp7e3BcZNT9xSAcDmE2j913lUo1o1G516zAHJ+vON0FnKcr6GdCkIxKRJVMoAwT\n/Sj1J1DMDvqX3wayjFZO4PG/TuzwViKzlqPy9XJ7opWszMk5ad29vby0/wgRjZESl5Wbli2cYh3O\nzyg09VjPTTxw9WHi3A7WVrJfqkPjM5OsOc2SdSsZ1A9MuGZBSQU7ju6l1wWdLa1IPWHS1pSQM1zw\n+cCJM9xktuF2unE7J2r1giCwonwZxyOdWOwpXtdgr49Sk4OrEb3xOszezYiCmrAqgDbHR6jJhKxI\njGxdMhLRWBirxcoS592j3x08ZWL21/ooebB4NCcz8fKNiLEeDqp/jpiVYGni80BqXaRuDzqDiZF7\nousvoK+3D2OBafSa9/FOYmz9h4aGRkkLRFEkIyPzXF96WzAaTYTDodHXM53Ccg0LzBRSPsorVcD5\nXLjyGubZQTK357t5q6+d5srdJB0exKAXQatHaamBRBRDfhk3rF3DPUVuDtccZUlZHmuXfmhSu9uP\nVvHvhxppz56H2mClIBqn/fW9/M2mtRNndAFGofE4VyWRi1njK23Gbmhv5sjgGZJqGUtAZMvi6y8Y\nvHW6/gxvBE/SH/ahIoijIJ0dW7czz5ba8MPhEHq9AZVKxQ3z1rLzxF7Mq+bT2taGlGfEGxjAZXFi\nLHDR3d5D4TkqOWSlZeBtGqSltxVEyFZcFBbNrAVgIiben5rKRrZ+r5lIn5qB5gSS+nl0mJHVUeab\n9WR8JMrx757CkMinUXgdQZPEZFeBNpESpMOJ9nF9H7bhQ0FLcysDz1ag91kxJR2UBUpoKP05QkLF\nyKFMl+MjONCNWUmR1yfyasjInEuK8ebycwjf7nq8M7iaXBSTxxIITC8t3vz5C9i79002btzEyZNV\nFBeXXPhLVxDvC8xhTtIL51JeHZic2pIKkrl+6SJ+47Tz2+27aG6p4dBggsD6e8CRgSJJxI69ir3A\nwpoFc1mzYO4523+ydYhBkwchLQcJ6I0MsT+s4m+mvPr8P94LVRI5H6Zjw0skEhzwnyZtRRGyLBOL\nRtl7/CArZi1kzDQ78XCjKAp7+k6QedNsYifrcc/PJT4UQb+4kMh+P89UvQaZRuSuKAt0hZTmFuEz\nJ3BbTWjVGhRFwRcJ0lXfRigUIpJwk+FJx6A3TDnGeYVzmKuUDK/B5OjedwqKovDcN5vIqLuXWDSO\nNSbTyKvkqzeg04uI0ovc/jeryZ5byR//z2Pkt91EIDyA5A/QsV0hVvBLHM0bSOgHKP3YAB5PMQCJ\nWJL4oAFzctjMlgBBVhFa8yyRFgvazACf+coGju48Sce+U6CPc+vDueh0BibnDp4/h/ByCrO/j4uD\n3+/HYpk+gbl+/UYOHTrAZz7zEABf/erXp62vqXDNCUxJkpDliekLF7uJv11cGWYhmUTibOEzkfWm\n3TtEZcl6JHc2kX27EUQ1hP0giqiHenErOp7dc5APrFpyzhy/BCLCuPxEBdApU0Wrntske+GAnncG\ngYAfVVrKjKegoNFpCTHAxA13/KabIByOYC9w4+v2o7Po0Wm0xCMBCiyZNAvHyVuzePT+Vh5soEQp\nRBh2E+eXFVFz/BSNZ+qZc9MystR52Ew23njrIDfPu27mJn6RUBSFbY/vo682gatEYMsDq0bdCZFI\nBKU7FdAkxUBARECNKOmoDj/HX9+cMr0tWbmQihdm88i9z+A68wH00XSogeai3/DQ03HM5nQcjjEG\npeKyQlotj2EdKEIt6GhSvUq6O4uHv7NxmOFJBlTceJ8b7jv3uIf/d46/kevgygnR9zGGsTVMaZj2\n6etJEPjSl746be1fCFe3OnWFkfJVjqQwpG5ySujMxDJcms9vBIqikEjEiMXCyHJyWPjo0WoNkwTQ\n3p4Aca2Z3oO74PRBqD6ARwqTF+7F5PTwcvH1/JexnP/zl1eQ5ak5OFcbJdIddlRnDiN7O/F0VHPf\neQo3nz3WZDJBLBYaFpYCGo1uyrG+E7DZ7EidASRZQlEUIv4QDpUZjUZP6uyo5uyfhMGgB1+cfEcG\nkZYBwn1+/Ke7aDp2mpDXj69vYGzDNqqQJIlSTSbeuk5i4SgelZV5OWUU2rOxm+0pJibTTM/84vCn\n/9hB47+uQHr8LpofWcvjP9w5+pnRaERV2DX8SkAijpca6pXthJM+tv7sNIlE6oCk1+sxJbMwhLNQ\nSXpUkh65JYeW6l4cjjGfrCRJ+P1+FtySRo/9Tdqtr5LtLiFv+aXl7wmCMPwnDuftjtxLNaAidU/H\nWw5kUhy1SRQlgaIkURRptHbt1VekeTKuDkE/lUn2vUu8DteYhikIAiqVDkFIBaCMr1U5/X1fWtDP\nVBG7Gs0FUltCQzTV7iEoySj3fhGG+kkc3oFLTKDZnKrkIWp1HHbNoa2jnfzcvElNfGLzWgqPHKdR\nE8OlamTTLYswGIzsO16F1WigonTEXCigKGOn+ysf0HNl/b4jAVJrnHM4/FYNilaFM6Fn2bzVwxvt\niBVAZCRUHlQIAqx0VnC08gwlYjpVzx1j1uYlVO7Yj31JNpVdNQiHQqy9aSOGQRlVrkh5XhnZ/nT6\nGr1keZawO3hkQm1KdeTq3JC79uhxKKkoa6PipmuPEb409vkD35nP899/koYDfiLtelbIf88QzSAJ\nJF4q5uFFP+aeL67i9ofWIOc1Ez7uwyR48NOOXmugtykAQDweZ8dLezn46yBKfQFejR8xo4m5cytw\nzTrB7Z9Ye9bI3n4q1+Vxq478XU3362oay2S8l4tHwzUmMCFlyhTFMeqvmTtNjkXlng+XU/2koaWN\noLEIxeKAfS+jsjkRXZmUJzpo02nHRpKIoVZN/VALgsDmpQtHXwcCAb78wh5aC5dAV4Ab6nfx+S0b\nONHQzLHOfjx6LVuWzrsEXt3pwaGaY3QlB1HFYcPsFZiMw6bXsyKg093p3JmZiyzLSFLivGs68llu\neg656TnUNNbivLuAQzv2UHbPKvRWE8lQjJBrkLanD3Pn6ps4fuYERp2OkvxibFYzILA2fxG79x0l\nbgRtBBZaCumtr8ecnoZxGv09lwrBNJHsXTzrdXZeBrd/GX73yRrqO9qp5xX02ClmMwPUkendxIEf\nhSlaVIvdbeGY8Gfscgk6lZE0j5tZyy14+wZ59AuHSb61mGR8kAQx5qo+TUP4BeRFYe769Kbpm98l\nc6uevTdIw9deHIduJBymq6ESUVAwpxfj9mRcgVlc3XgvF4+Ga8wkC+O1vJkjRJ/Y/7n7k6Qk8XiE\nRCIGKKhUGnQ600VFlO47XkVNxQ1oypdCRj7oDEjFC/DPWUlHRCLzxOvIsSiyt4ebk51kZ6Vy+x5/\nYz8fe3oPH396D0/uOTip3acPVdE+Zx0qgwmVO4PXtDk8v+tNvtch8Er6Mn6nL+PH295EFFVotQY0\nGv0VEZaXkopz+EwlLXkxtCsyEddm8PzJHUBK643HI8OBXQpqtRadzjjF4ePiNBiTzkA8GCGhSOgs\nJhQFNCoNdpcLj8nNtpZD9C/WU5cfZfvxPYyY/8wmA7dUrOHOwjUs16TjPnaEnNoa5F07GezsJBaL\nEYvFLtT9tOOGz+XQnfsCXrmBrpwXuf5zk1MCXv/tabJa7maZ+ePExSE8zGGINro5QT4bCfcpPPvb\n15Ce30QeawGFiOTnlOYPlC8qZut/Hye99l5s5JLFchRFIqFEUMt6Io1nHx5m5rd5tjk3FWw13pw7\nHmPm3HOZdAGSySTtx19hnjPIXGcYue0tBvp7ZmQ+M4+x3897uXg0XIMa5ghmuuTWiAlzKpwr8vVS\nBE+Xz489awnBQT/9Z46gLLkBVXgIqyQRWXs3H1U1oci1ONLNLFi/EYAjp8/wuJANZRlIkRCP9rRS\ndqaOBbPG6NiS48yVALJGz5udAaS5KeJrUWegUnAgCOpp8lNOvWidvd3UdjVgVhvolH2YPanNXRAE\nYh41rx7cSUAbQx2DjeWrMJstly3IdUmJ5PbTWOxamndVkb9yNjqtgdZXjjI4ICHku+msqiI7LQuh\nQEvtqdNkZGVjddgZ0ViE+josGjWxcBBNOEzLc38hfzhXbSA3n4wlE4shh3w+IvV1oCjoCouwuN8e\njeHFYP6KMkqez6a9rZPsnAqMximcrXLqWTCIVuaabuVY4ClMZDCHu2ljDwD1r0isiLvJoJAMMWWt\nONXRzxO/3MqhJwLM9sWRSKBGhxYLQaUPQZtAlx6ZtrldKiYS0Y9omyPP92TTbiwaoa3mMBqSqKyZ\niFojJW5x9PtFGRaqepqIhIZIDjQjA5bMCtwZ2W9ndJcxsyuJ932Y72PaMJlZ5mIiXy8W6+bN5vHX\nDiHMWoFoUDMY8JIpJnC7MlECPiw2I0sqyid8p7FvEJxFdFfupw8tsc4W/vr4EPcv7OBT6xZjtVq5\naU4hbx48SqB4MVIyTkX3cexmA00jsxJEtHJyGiprnHtTaGxv5q1kLc7VOQwGI9Q8c5qFKzJI0XXJ\ntJysxbR5OUa7GxTYunsPH1px62WNpmPfW2Q3NfGAWsvpujAHhsz09tQTTcJsYyb+Gy1oclO5hc17\nqimr6iY9YMVgtdCSnUfWkiVotVpARaCjHX1bG7pwCOOAF+2WLZhNJkydbXgzPLiyU5toNBwksW8v\nWcPPw2B/P+E1azFO44ZkNJooLSthJMfxbKy7v5gndm8jo/NmUMuYlnTSe7QHv9IGiOSyEiEWpdH+\nNKXRj6XWQ9yFQXCy/5Eo9sQcepVa0lVzSegGaFVvw+G0UbIok9v/qXzKPq8eTI6qHQkSajr6Okvy\nU5Ygr+8Mdb40bLoEZqMOgERCYmBwgFl0k56eOog0dh0ibLFhvEjGondDMFIwGMRstrzTw5g2XLMC\nc+Y1TIb7A5icdnGheo8Xgsfp4jurCnmqaj9noh3sqeqjP6uUYM0x7nHBotV3TPrOooJsHn1zN72W\nXBLeXhKLrqffZOQvcpi+7Qf47j2byclI51+XSuyo3odepXDbLWvwDgVp3L+fnqzZ6Pz93JNtnFG2\njVMDjThXpSoU6MwGHGVZ9G6vRkrXowTjeKwuTE4rAgIIAiGrMiHoJoWLM8knEgn6+vqI73idmCgi\nOV3McTgwOLPIWLsOgFdr9qJz2On2DqJ3mTH0eclu6Mczq4Ch09XY9x3A11gPCxdBURGR/ftwaTR0\nShLZnnRCHd2Yy0rRqbXI0THTbKC3myxBIWUCBIco0N7VgcFi5mJ8aNOBwtJcPvobDQe2PU2kt4es\nFzbRzx4W8CBqdChAq+YlCpap2Pvyd3FLc7AaHDSoDrIk+SUMop0eqZpGcTvGNaf5n9/8zZTVZN4t\nEASBSCRCmj6GKKRya112E929cXrIJtbThkEr0BLUYbW5SHcEGYllyHNpOdPVQn7xbC7WL3q1Q5bl\nGS9LN5O45gTmO+fDTPUnSXEkKTn63gUjXy8Bxbk5fCkrkw//KUpu+ToCkShiYSnOgaOTBNrRmjqq\nOvuY72uiyVVMIBlDbzahElVIskCTaCKZTCLLCdKcVu5bu3jUVGw22/n+ZjO1Lc3kFWeSljY9hY7P\nBWFc7JSiKKhUAnfNvx5ZljHmm9la9SYMC0sAVexsYXlxaO5s4a2h0ySrq1hw5gjFlnTo7SE0azZk\njZnSbIKR/phEpt7FUJ8fan2sKltCoLODtEgYv1aNrFYTq66GW27BW1xCRzyOkJtH5NgRIt1dJAry\n8Wq0WLNyR9vVmm2EkxImjQZQiElJVCYDIwI0Nf+JeYUw/RtuVm4Gd30ig199eTdu/3Jm6UwciP4E\nC1mE6MESyEbeVcxq6xzaE0fwWU6Ro5lDT/AoBfL1pKvKUenibPmM5V0tLEeg1Wrxjg+4VyApaCiZ\nu4pgcB6xeJxZdjsdLXUEQoMM+rzEomFCcRXuRYs5Oxjwnbinbw+pvfPqHNv04JoL+hnBTBZ1TkW+\npn4UI8Ly3AEol4dYLEZAa0EQRWxmMxaLmaConXDNiweO8i+dKv7sWUZlxY1kVe3ArRFQCSJiNIRN\nr8WejJBM/n/23jtKrvM88/zdUDmHruqcI7objQwCIACCWRApkspx7HGYsS15bdmj9fGZ3ZHt8Wq9\nu+MztrzSWrKtsa1RoihmUqQIRkQio9HonHOo1JXjvftHdUADDRChAcKCnnP6VHfXrRu+79b33Dc9\nb3KhJ6WIVmtAq11O6DEYDLTU1eK+RTG1RXH86ZlppmemV3gCNhWvY+74ANlMmtDELCURE3q9EZvN\niVar57767QTe6Wf2wggzR3rZ4brc1ScIMOf38X77KWZ8syuOu4iTgR4cG8tpUAXSG2oYi/kxSRIj\nc7NMmXW833GSUHierfUbMHckSJ2bwdAZZ//eT+MTBYRsFkVV8VmtmPR69KhkU2k0zS1YCwrQjI8h\nGU3kLFb6RscQtm5DyWWZGx4mHo1icxcQqq1nNqswl1WYLa3AWVLO1eoK84kot6euUNDm72VHroad\n/DEyBrbyZZrVzxLMjGGQbNTp76cy+Qia2kmc1iIGtK/Qp30B88ePsnFX0y05r9sNWZY0dz7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5LNEk2nsThKKK9dR7i0hvPDfbibi2guKr1t130tuDKJwurzqfKP//gdfvCDH1BcXIzZbMFoNFJX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits import mplot3d\n", "ax = plt.axes(projection='3d')\n", "ax.scatter3D(XS[:, 0], XS[:, 1], XS[:, 2],\n", " **colorize);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fundamental relationships between the data points are still there, but this time the data has been transformed in a nonlinear way: it has been wrapped-up into the shape of an \"S.\"\n", "\n", "If we try a simple MDS algorithm on this data, it is not able to \"unwrap\" this nonlinear embedding, and we lose track of the fundamental relationships in the embedded manifold:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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B7auNR4xsp39M7H7M236Y6aOGmxdSvtVzQBo9B6SZHUOkQXTNV+S//ObKGcyN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\n/fxzZyBjrrzJ5KQizY+u+UqzM/zyWVy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ExGQqXxEREZOpfEVEREym8hURETGZyldERMRk\nKl8RERGT/R+73qklHmTvMAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import MDS\n", "model = MDS(n_components=2, random_state=2)\n", "outS = model.fit_transform(XS)\n", "plt.scatter(outS[:, 0], outS[:, 1], **colorize)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The best two-dimensional *linear* embeding does not unwrap the S-curve, but instead throws out the original y-axis." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Nonlinear Manifolds: Locally Linear Embedding\n", "\n", "How can we move forward here? Stepping back, we can see that the source of the problem is that MDS tries to preserve distances between faraway points when constructing the embedding.\n", "But what if we instead modified the algorithm such that it only preserves distances between nearby points?\n", "The resulting embedding would be closer to what we want.\n", "\n", "Visually, we can think of it as illustrated in this figure:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![(LLE vs MDS linkages)](figures/05.10-LLE-vs-MDS.png)\n", "[figure source in Appendix](06.00-Figure-Code.ipynb#LLE-vs-MDS-Linkages)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here each faint line represents a distance that should be preserved in the embedding.\n", "On the left is a representation of the model used by MDS: it tries to preserve the distances between each pair of points in the dataset.\n", "On the right is a representation of the model used by a manifold learning algorithm called locally linear embedding (LLE): rather than preserving *all* distances, it instead tries to preserve only the distances between *neighboring points*: in this case, the nearest 100 neighbors of each point.\n", "\n", "Thinking about the left panel, we can see why MDS fails: there is no way to flatten this data while adequately preserving the length of every line drawn between the two points.\n", "For the right panel, on the other hand, things look a bit more optimistic. We could imagine unrolling the data in a way that keeps the lengths of the lines approximately the same.\n", "This is precisely what LLE does, through a global optimization of a cost function reflecting this logic.\n", "\n", "LLE comes in a number of flavors; here we will use the *modified LLE* algorithm to recover the embedded two-dimensional manifold.\n", "In general, modified LLE does better than other flavors of the algorithm at recovering well-defined manifolds with very little distortion:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zJyCkKZw/ji4+jjKtE7ryElpHhlNeXkVMeAjdLLn0tWTzzqCeuFcUsz4gGrQO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\nKVvSOBhtmuENlYpdMfezcus2H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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import LocallyLinearEmbedding\n", "model = LocallyLinearEmbedding(n_neighbors=100, n_components=2, method='modified',\n", " eigen_solver='dense')\n", "out = model.fit_transform(XS)\n", "\n", "fig, ax = plt.subplots()\n", "ax.scatter(out[:, 0], out[:, 1], **colorize)\n", "ax.set_ylim(0.15, -0.15);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result remains somewhat distorted compared to our original manifold, but captures the essential relationships in the data!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some Thoughts on Manifold Methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though this story and motivation is compelling, in practice manifold learning techniques tend to be finicky enough that they are rarely used for anything more than simple qualitative visualization of high-dimensional data.\n", "\n", "The following are some of the particular challenges of manifold learning, which all contrast poorly with PCA:\n", "\n", "- In manifold learning, there is no good framework for handling missing data. In contrast, there are straightforward iterative approaches for missing data in PCA.\n", "- In manifold learning, the presence of noise in the data can \"short-circuit\" the manifold and drastically change the embedding. In contrast, PCA naturally filters noise from the most important components.\n", "- The manifold embedding result is generally highly dependent on the number of neighbors chosen, and there is generally no solid quantitative way to choose an optimal number of neighbors. In contrast, PCA does not involve such a choice.\n", "- In manifold learning, the globally optimal number of output dimensions is difficult to determine. In contrast, PCA lets you find the output dimension based on the explained variance.\n", "- In manifold learning, the meaning of the embedded dimensions is not always clear. In PCA, the principal components have a very clear meaning.\n", "- In manifold learning the computational expense of manifold methods scales as O[N^2] or O[N^3]. For PCA, there exist randomized approaches that are generally much faster (though see the [megaman](https://github.com/mmp2/megaman) package for some more scalable implementations of manifold learning).\n", "\n", "With all that on the table, the only clear advantage of manifold learning methods over PCA is their ability to preserve nonlinear relationships in the data; for that reason I tend to explore data with manifold methods only after first exploring them with PCA.\n", "\n", "Scikit-Learn implements several common variants of manifold learning beyond Isomap and LLE: the Scikit-Learn documentation has a [nice discussion and comparison of them](http://scikit-learn.org/stable/modules/manifold.html).\n", "Based on my own experience, I would give the following recommendations:\n", "\n", "- For toy problems such as the S-curve we saw before, locally linear embedding (LLE) and its variants (especially *modified LLE*), perform very well. This is implemented in ``sklearn.manifold.LocallyLinearEmbedding``.\n", "- For high-dimensional data from real-world sources, LLE often produces poor results, and isometric mapping (IsoMap) seems to generally lead to more meaningful embeddings. This is implemented in ``sklearn.manifold.Isomap``\n", "- For data that is highly clustered, *t-distributed stochastic neighbor embedding* (t-SNE) seems to work very well, though can be very slow compared to other methods. This is implemented in ``sklearn.manifold.TSNE``.\n", "\n", "If you're interested in getting a feel for how these work, I'd suggest running each of the methods on the data in this section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Isomap on Faces\n", "\n", "One place manifold learning is often used is in understanding the relationship between high-dimensional data points.\n", "A common case of high-dimensional data is images: for example, a set of images with 1,000 pixels each can be thought of as a collection of points in 1,000 dimensions – the brightness of each pixel in each image defines the coordinate in that dimension.\n", "\n", "Here let's apply Isomap on some faces data.\n", "We will use the Labeled Faces in the Wild dataset, which we previously saw in [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb) and [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb).\n", "Running this command will download the data and cache it in your home directory for later use:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(2370, 2914)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import fetch_lfw_people\n", "faces = fetch_lfw_people(min_faces_per_person=30)\n", "faces.data.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have 2,370 images, each with 2,914 pixels.\n", "In other words, the images can be thought of as data points in a 2,914-dimensional space!\n", "\n", "Let's quickly visualize several of these images to see what we're working with:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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X15HYx3gjqPV6Pe7krNfrC0dmIUM4hCyo3WlSL8TBwIJYmf/BYBDRMGez+vm4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(4, 8, subplot_kw=dict(xticks=[], yticks=[]))\n", "for i, axi in enumerate(ax.flat):\n", " axi.imshow(faces.images[i], cmap='gray')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We would like to plot a low-dimensional embedding of the 2,914-dimensional data to learn the fundamental relationships between the images.\n", "One useful way to start is to compute a PCA, and examine the explained variance ratio, which will give us an idea of how many linear features are required to describe the data:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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w+ctQ3WjBusID0IWqcN/kgZDLZP4uiYiI6Bxee/JXQgiBBQsWoKKiAmq1GosX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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import RandomizedPCA\n", "model = RandomizedPCA(100).fit(faces.data)\n", "plt.plot(np.cumsum(model.explained_variance_ratio_))\n", "plt.xlabel('n components')\n", "plt.ylabel('cumulative variance');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that for this data, nearly 100 components are required to preserve 90% of the variance: this tells us that the data is intrinsically very high dimensional—it can't be described linearly with just a few components.\n", "\n", "When this is the case, nonlinear manifold embeddings like LLE and Isomap can be helpful.\n", "We can compute an Isomap embedding on these faces using the same pattern shown before:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(2370, 2)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.manifold import Isomap\n", "model = Isomap(n_components=2)\n", "proj = model.fit_transform(faces.data)\n", "proj.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output is a two-dimensional projection of all the input images.\n", "To get a better idea of what the projection tells us, let's define a function that will output image thumbnails at the locations of the projections:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from matplotlib import offsetbox\n", "\n", "def plot_components(data, model, images=None, ax=None,\n", " thumb_frac=0.05, cmap='gray'):\n", " ax = ax or plt.gca()\n", " \n", " proj = model.fit_transform(data)\n", " ax.plot(proj[:, 0], proj[:, 1], '.k')\n", " \n", " if images is not None:\n", " min_dist_2 = (thumb_frac * max(proj.max(0) - proj.min(0))) ** 2\n", " shown_images = np.array([2 * proj.max(0)])\n", " for i in range(data.shape[0]):\n", " dist = np.sum((proj[i] - shown_images) ** 2, 1)\n", " if np.min(dist) < min_dist_2:\n", " # don't show points that are too close\n", " continue\n", " shown_images = np.vstack([shown_images, proj[i]])\n", " imagebox = offsetbox.AnnotationBbox(\n", " offsetbox.OffsetImage(images[i], cmap=cmap),\n", " proj[i])\n", " ax.add_artist(imagebox)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calling this function now, we see the result:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QdR2PPvoo7rvvPo6soqqbxWLB+vo6FhYWsLS0hKGhIRZSDocD0WgUlUoFFosF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drYtChQVWo7aG/jdrIl6e7uZisLyvOklrfVasWZM2dgMBhw/vx5pNNp7N69Gz09PchkMlCr1ahW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Rj8cxMzODhYUFHDhwYMXf0VhSJpNx1/CJJ55gW5lyuYzR0VFotVqoVCrMzMzwoq/T6ThyhwQe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XV1eXqlUgkLCwvI5/PYunUrOjs7ZfNlJFepVILFYmno0wagjjdmNptRLpfrNm02bcpYMZ5K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fj3Q6jc2bN8Nms+HXv/419Ho9hoeHYTKZUCgU4PP54HK50N3dvA3q8/mwbdumRZ+BCkEq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\nYdG+SqXC2bNncfbsWdx+++3vwjO2Ob70pS9tqWaLdHbDw8O49957t31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hPPDAAxgcHITf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 10))\n", "plot_components(faces.data,\n", " model=Isomap(n_components=2),\n", " images=faces.images[:, ::2, ::2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is interesting: the first two Isomap dimensions seem to describe global image features: the overall darkness or lightness of the image from left to right, and the general orientation of the face from bottom to top.\n", "This gives us a nice visual indication of some of the fundamental features in our data.\n", "\n", "We could then go on to classify this data (perhaps using manifold features as inputs to the classification algorithm) as we did in [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Visualizing Structure in Digits\n", "\n", "As another example of using manifold learning for visualization, let's take a look at the MNIST handwritten digits set.\n", "This data is similar to the digits we saw in [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb), but with many more pixels per image.\n", "It can be downloaded from http://mldata.org/ with the Scikit-Learn utility:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(70000, 784)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import fetch_mldata\n", "mnist = fetch_mldata('MNIST original')\n", "mnist.data.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This consists of 70,000 images, each with 784 pixels (i.e. the images are 28×28).\n", "As before, we can take a look at the first few images:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2JOFEo1EcDgeDg4N8/fXXmM1m0tPTOXDgAGVlZUkp/oB4ful36bU6NTXF/fv3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\n5coVLl26hMfjSRrP8YtIF7SFhQWCwSBWq5WmpiZaW1u/1nMmF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(6, 8, subplot_kw=dict(xticks=[], yticks=[]))\n", "for i, axi in enumerate(ax.flat):\n", " axi.imshow(mnist.data[1250 * i].reshape(28, 28), cmap='gray_r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives us an idea of the variety of handwriting styles in the dataset.\n", "\n", "Let's compute a manifold learning projection across the data.\n", "For speed here, we'll only use 1/30 of the data, which is about ~2000 points\n", "(because of the relatively poor scaling of manifold learning, I find that a few thousand samples is a good number to start with for relatively quick exploration before moving to a full calculation):" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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QPH8Z2z/t/9iLAEH4X+bg4EBqaioRERHk5+ezaNGiJ5YXnwLh/4V9p0+zKKCdtQWWnMjC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\nG6NRi7W1CYMhC9AAZvL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b3d2egD9xWT83cCqrDmwmW8jFzWDNrMH1HhKz2cy+1G9o87jo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# use only 1/30 of the data: full dataset takes a long time!\n", "data = mnist.data[::30]\n", "target = mnist.target[::30]\n", "\n", "model = Isomap(n_components=2)\n", "proj = model.fit_transform(data)\n", "plt.scatter(proj[:, 0], proj[:, 1], c=target, cmap=plt.cm.get_cmap('jet', 10))\n", "plt.colorbar(ticks=range(10))\n", "plt.clim(-0.5, 9.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting scatter plot shows some of the relationships between the data points, but is a bit crowded.\n", "We can gain more insight by looking at just a single number at a time:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ZWLVqFf773/+iW7du+OijjzjpgIiI6P8xtJHDOH78uLwzw4wZMzjpgIiIqBSGtmowGo1q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\n8Yd48cUXhRBCXL9+XYwcOVIIIcSSJUvEN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import Isomap\n", "\n", "# Choose 1/4 of the \"1\" digits to project\n", "data = mnist.data[mnist.target == 1][::4]\n", "\n", "fig, ax = plt.subplots(figsize=(10, 10))\n", "model = Isomap(n_neighbors=5, n_components=2, eigen_solver='dense')\n", "plot_components(data, model, images=data.reshape((-1, 28, 28)),\n", " ax=ax, thumb_frac=0.05, cmap='gray_r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result gives you an idea of the variety of forms that the number \"1\" can take within the dataset.\n", "The data lies along a broad curve in the projected space, which appears to trace the orientation of the digit.\n", "As you move up the plot, you find ones that have hats and/or bases, though these are very sparse within the dataset.\n", "The projection lets us identify outliers that have data issues: for example, pieces of the neighboring digits that snuck into the extracted images.\n", "\n", "Now, this in itself may not be useful for the task of classifying digits, but it does help us get an understanding of the data, and may give us ideas about how to move forward, such as how we might want to preprocess the data before building a classification pipeline." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb) | [Contents](Index.ipynb) | [In Depth: k-Means Clustering](05.11-K-Means.ipynb) >" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }