{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Generic dictionary learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reference: [Dictionary Learning](http://scikit-learn.org/stable/modules/decomposition.html#dictionarylearning)\n", "\n", "Dictionary learning is a matrix factorization problem that amounts to finding a(usually overcomplete) dictionary that will perform good at sparsely encoding the fitted data.\n", "\n", "Representing data as sparse combinations of atoms from an overcomplete dictionary is suggested to be the way the mammal primary visual cortex works. Consequently, dictionary learning applied on image patches has been shown to give good results in image processing tasks such as image completion, inpainting and denoising, as well as for supervised recognition tasks.\n", "\n", "Dictionary learning is an optimization problem solved by alternatively updating the sparse code, as a solution to multiple Lasso problems, considering the dictionary fixed, and then updating the dictionary to best fit the sparse code.\n", "\n", "$$(U^,V^) = argmin_{(U,V)} 0.5 || Y - U V ||_2^2 + alpha * || U ||_1$$\n", "\n", " with $|| V_k ||_2 = 1$ for all $0 <= k < n_{components}$\n", "\n", "After using such a procedure to fit the dictionary, the transform is simply a sparse coding step that shares the same implementation with all dictionary learning objects(see Sparse coding with a precomputed dictionary).\n", "\n", "Using: [sklearn.decomposition.DictionaryLearning](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.DictionaryLearning.html)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "import os, sys\n", "import numpy as np\n", "from skimage import io\n", "import matplotlib.pylab as plt\n", "sys.path += [os.path.abspath('.'), os.path.abspath('..')] # Add path to root\n", "import notebooks.notebook_utils as uts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## load datset" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading dataset: (True) exists -> /mnt/30C0201EC01FE8BC/TEMP/atomicPatternDictionary_v0/datasetFuzzy_raw\nloading (True) <- /mnt/30C0201EC01FE8BC/TEMP/atomicPatternDictionary_v0/dictionary/atlas.png\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_dataset = os.path.join(uts.DEFAULT_PATH, uts.SYNTH_DATASETS_FUZZY[0])\n", "print ('loading dataset: ({}) exists -> {}'.format(os.path.exists(p_dataset), p_dataset))\n", "\n", "p_atlas = os.path.join(uts.DEFAULT_PATH, 'dictionary/atlas.png')\n", "atlas_gt = io.imread(p_atlas)\n", "nb_patterns = len(np.unique(atlas_gt))\n", "print ('loading ({}) <- {}'.format(os.path.exists(p_atlas), p_atlas))\n", "plt.imshow(atlas_gt, interpolation='nearest')\n", "_ = plt.title('Atlas; unique %i' % nb_patterns)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loaded # images: 800\nimage shape: (64, 64)\n" ] } ], "source": [ "list_imgs = uts.load_dataset(p_dataset)\n", "print ('loaded # images: ', len(list_imgs))\n", "img_shape = list_imgs[0].shape\n", "print ('image shape:', img_shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pre-Processing" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "input data shape: (800, 4096)\n" ] }, { "data": { "image/png": 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9waqf7p3QJ0HHdXRKnLVWXATjcItL+Th0HO/eJ62k+6onQHtri/tZh47L/f06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\nevBwFgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array([im.ravel() for im in list_imgs]) # - 0.5\n", "print ('input data shape:', X.shape)\n", "\n", "plt.figure(figsize=(7, 3))\n", "_= plt.imshow(X, aspect='auto'), plt.xlabel('features'), plt.ylabel('samples'), plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2IAAACqCAYAAADP/PzWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uts.show_sample_data_as_imgs(X, img_shape, nb_rows=1, nb_cols=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generic dictionary learning" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitting parameters: {'n_jobs': -1, 'code_init': None, 'max_iter': 200, 'dict_init': None, 'fit_algorithm': 'lars', 'random_state': None, 'n_components': 7, 'tol': 1e-08, 'transform_algorithm': 'omp', 'alpha': 1, 'transform_alpha': None, 'transform_n_nonzero_coefs': None, 'split_sign': False, 'verbose': False}\nnumber of iteration: 50\n" ] } ], "source": [ "from sklearn.decomposition import DictionaryLearning\n", "dl = DictionaryLearning(n_components=nb_patterns, fit_algorithm='lars', transform_algorithm='omp', \n", " n_jobs=-1, max_iter=200, split_sign=False)\n", "\n", "X_new = dl.fit_transform(X[:1200, :])\n", "print ('fitting parameters:', dl.get_params())\n", "print ('number of iteration:', dl.n_iter_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**show the estimated components - dictionary**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "estimated component matrix: (7, 4096)\n" ] }, { "data": { "image/png": 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7l3IKsQUzV5ZGI77P6rPbOHe0xtVY1d0Dueqsru/tdnyfPii/WNV8ypNiiK1O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\nQX4lX6F3fQ/0KNfqAXffNKY7b6dpvU4TZVG9x2lsPRNoLJDQVERj3f9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y8vHVOcPdnwvv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\n/6NuAG/dZQJLAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "comp = dl.components_\n", "coefs = np.sum(np.abs(X_new), axis=0)\n", "print ('estimated component matrix:', comp.shape)\n", "\n", "compSorted = [c[0] for c in sorted(zip(comp, coefs), key=lambda x: x[1], reverse=True) ]\n", "uts.show_sample_data_as_imgs(np.array(compSorted), img_shape, nb_cols=nb_patterns, bool_clr=True)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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vsL2mayLdBmCL7dOALdV5RBwNXPNo2HymjlwGbKxebwQun384EVGCplaMnK26CcnAjyRt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\nEVGMJKSIKEYSUkQUIwkpIorx/2Eh+P8cVmhwAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ptn_used = np.sum(np.abs(X_new), axis=0) > 0\n", "atlas_ptns = comp[ptn_used, :].reshape((-1, ) + list_imgs[0].shape)\n", "\n", "atlas_ptns = comp.reshape((-1, ) + list_imgs[0].shape)\n", "atlas_estim = np.argmax(atlas_ptns, axis=0) + 1\n", "atlas_sum = np.sum(np.abs(atlas_ptns), axis=0)\n", "atlas_estim[atlas_sum < 1e-1] = 0\n", "_ = plt.imshow(atlas_estim, interpolation='nearest'), plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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r9SXoLoGAhYyx55IxcXoefxwch7xLJzYpC9bUEF60iJ5HH6X0wx+a0HMZo6eqDwAPDFp3\n+4DnceA9Q+z3ReCLJzjmVmD5+EY6sQ7tbEMEapeMT3uyfrOXllC/tZm2IzFKq/PG9diGMVOYpMyT\n6E3x7P/u4+UnGmEEP/SsgBAI2gSCFoGQRSBkEwjZBAc/D9sEQzaBsM2s0wrHpdeTcXI9jz5GoLyc\nyOmDh6Maf3mXXkrr979PprMTu7Bwws9nGKN1aGc75XMLiESD43rc4+3KdrabpMwwRmnGJ2Wqyp4t\nTWy6r554d5IzLqllwTkVOI7ipB2cjJLJOGTSDpmUeo/u63TKIZPKkE45pJMO6VTGfUy6j71dSdLJ\nDKlkhnTCIZXMkEk5gDtn3AXvWTjuN0bDpckksU2bKLjqqgnpdTlY/qWX0Prd79LzxMYxz61pGBMl\n0Zem6UAX56ybM+7Hzi+JUFSZy6GdbZx12exT72AYxpvM6KRMHeXB777M/hePUTE3n3d84swxj259\nKpmUw9YHD7DtDwdp2NnGJe9bQt0ZZRN6zpmod+tWnFiMPK+910SLnHkmdmkpPY89ZpIyI2s17mpH\nHZ2wkvrZS4rZ+cxRMmkHO2CaLBvGSM3oT83uLU3sf/EYq6+ex3X/uGrCEzIAO2ix5pr5vPsfVxKO\nBvn9d17i6d/UT/h5Z5ruRx9DwmGi5503KecTyyLv4ovp2bgRTaUm5ZyGMVKH6zuwgxZV8yemir12\nSQnpRIbmg90TcnzDmO5mbFKWSmR4+jd7KZ+Tz6q31415qpGRqphbwPW3ncuS86p4bsNrNB/smtTz\nT2eqSs+jjxJ9y1uwcnIm7bx5l1yM09VF73PPT9o5DWMkmvd3UT47f8JKsSrnuz9smw+Y+5lhjMaM\nTcqe23CQWEeCC69f6FsPSjtoccH1i8jJD/LkffWmK/k4Se7dS6qhYcJ7XQ6Wt3YtEgyagWSNrJTJ\nOLS81k3lvImrEYgWhskrDtNkkjLDGJURJWUicqWI7BKRehG5dYj3wyJyj/f+syJSN+C927z1u0Rk\nnbcuIiKbReRFEdkuIp8f6wUNR1drH88//BoLV1Uwa0HRZJzyhMI5AVa/Yx6H93Sw/8VjvsYyXfSP\n4j9Z7cn6WdEouWvWmKTMyEptjTHSKYfKuoltplFZV0DT/s4JPYdhTFfDTspExAa+A7wdWAbcJCKD\nxxr4CNCuqguAr+POE4e33Y3A6cCVwH94x0sAb1XVs4AVwJUi8paxXdKpPX3/XgQ4710LJvpUw7Ls\ngmqKq3J56v56MmnH73CmvMkYxf9E8i69hOTBgyT2mdH9jezSX3pVMcFJWUVdAV3H4vT1JCf0PIYx\nHY2kpGw1UK+q+1Q1CdwNXDtom2uBn3jP7wMu86YfuRa4W1UTqrofd/Tr1erq8bYPesuE1uEd3tNB\n/bZmzr5iDvklkYk81bBZtsX51y2gs7mPVx4fcuo8Y5gmaxT/E8m/5BIAU1pmZJ2mA11E8oIUlE3s\nfa+/erRpv6nCNIyRGklSVgMcGvC6wVs35DbetCadQOnJ9hURW0ReAJqBh1X12ZFcwEioKpt+tYe8\n4jBnr5s7UacZlbnLS6ldUsyW3+8nHjO990Yr9tRT7ij+F1/ky/mDNTWEFy4g9uSTp97YMCZR84Eu\nKusKcH8nT5zyOfmImMb+hjEavjf0V9WMqq4AaoHVIjLklCUi8jER2SoiW1taWkZ1rqP7umh5rZtV\nV9URDNljiHr8iQhr372QRF+arQ8c8DucKSv21FNYhYVElvs38030/LXuOGnxuG8xGMZAyb40bUdi\nE9rIv18oEqB4VpSmA2ZYDMMYqZEkZY3AwGGaa711Q24jIgGgEGgdzr6q2gE8itvm7E1U9XuqukpV\nV5WXl48g7Nft2NhIMGKz8NzJb2s0HGW1eSxeXcX2TYdJxtN+hzPlqCqxJ58iumYNYvuXdEfXno8m\nk/Ru3eZbDIYxUPNr3aAT356sX+W8ApoPdJke5YYxQiNJyrYAC0VknoiEcBvurx+0zXrgA97zdwN/\nUvdTuR640eudOQ9YCGwWkXIRKQIQkRzgcuDV0V/OicVjKfZsa2bR6ipCkeydyGD5xTWkExn2bGny\nO5QpJ7l/P+mjR4muXetrHLmrViHBoFuVahhZoL8qsXISBsgGtwdmPJai61jfpJzPMKaLYSdlXhux\nW4ANwE7gXlXdLiJfEJFrvM1+AJSKSD3waeBWb9/twL3ADuAPwCdUNQPMAh4VkZdwk76HVfV343Np\nb7R7cxOZlMPpF1RPxOHHTeW8Akqqo+zYdNjvUKac2Ca3HVd07fm+xmHl5pJzzjmmXZmRNZr2d1FY\nnkMkb3Lm2jWN/Q1jdEZUZKSqDwAPDFp3+4DnceA9J9j3DuCOQeteAs4eSQyjoars2NRIxdx8yufk\nT/TpxkREWLa2mk2/2sOxhm7KarM73mwSe+opgnPnEKqt9TsUomvX0nLnnaRbWgiMsrrdMMZL04Eu\nqhdO3piMJbOiBIIWTQe6WLS6atLOaxhTne8N/SdD0/4uWhtjLMvyUrJ+i99ShR2w2LHRlJYNlyaT\nxDZvJnq+v6Vk/frjiD39tM+RGP1GO/i1iJSKyKMi0iMi3x60z2PeMV/wlorJuZrh62lPEOtITPig\nsQNZtkX53HzTA9MwRmhGJGXbNx0mGM7eBv6DRaJB5p9dzq7NTaSSGb/DmRL6XnwR7e0lz+f2ZP0i\ny5ZiFxURe9K0K8sGYxn8GogDnwM+e4LD36yqK7ylefyjH5vj7ckmoeflQJV1BbS81mMGxDaMEZj2\nSVmiL039liYWrq7M6gb+g51+QTXJvjT7nsu6e3xW6nnySbBtctes8TsUAMSyiJ5/HrGnnjI90LLD\nqAe/VtWYqm7CTc6mnKYDnVi2UDY7b1LPW1FXQCbt0NrYc+qNDcMAZkBStvvZo6SnQAP/waoXFVFY\nkcN20+B/WGJPPU3OmWdi52dPG7zo2rWkW1pI7NnjdyjG2Aa/PpUfeVWXn5OJHpl1FJoOdFFWm0cg\nOLnDxPRXl5rG/oYxfNM6KVNVtm86TPmcfComqSv4eOlv8H+kvpP2ozG/w8lqmY4O4q+8kjXtyfod\nb1dmqjCns5tV9QzgQm/5i6E2Go/Br0fDcZTmA92TNj7ZQPmlEXLyg6ZdmWGMwLROylobY7Q29LD0\n/Fl+hzIqS86bhWWJGR7jFGLPPAuO4/tQGIMFZ80iNH++Ga8sO4xl8OsTUtVG77Eb+CVuNelQ2415\n8OvRaD8aI5XITGoj/34iQmVdwfGJ0A3DOLVpnZTt2dKEWMKClVnXIWpYcgtC1J1Vxq5nj+JkTGPZ\nE4k99RRWXh45Z5zhdyhvEl27lt4tW3ASCb9DmenGMvj1kEQkICJl3vMg8A7glXGPfAz6qw4nu5F/\nv4q6Atqbekn0mRlKDGM4pm1Spqrs2dLE7KXF5OSH/A5n1BatrqSvO0Xjrg6/Q8lK7tRKT5K7Zg0S\nnJyBMUciev55aDxO33PP+R3KjDaWwa8BROQAcCfwQRFp8HpuhoEN3uDXL+CWtP33ZF3TcDQd6CKU\nE6CoIteX81fOKwCFZtOuzDCGZep0Rxyho/u66G6Ls+aaeX6HMiZzl5cSitjs3trE7GUlfoeTdVKv\nvUaqsZGSD3/I71CGFF29GoJBYk8+SfS88/wOZ0Yb4+DXdSc47Mrxim8iNO3ronJeAWL50//geGP/\nA53m/mUYwzBtS8r2bD6KHbSYt2Jqj6YeCNrMX1HOvudbyKRMFeZgPU9sBCDvwgt9jmRoVjRK7tln\n07Nxk9+hGDNMMp6m7XCPb1WXAOHcIMVVuRw1JWWGMSzTMilzMg71zzVTd0bZlBqb7EQWnltJsi/N\nwe0nbXM8I/VsfILQ3LmE5szxO5QTyrvoQhK7dpFqMpPMG5On+WA3qlA1r9DXOCrnF9K0r8uM12cY\nwzAtk7KGV9vp606xaIqM4H8qtUuKyckPsmeL+VIfyInH6d28hWiWlpL1i154EQCxjRt9jsSYSZr2\ndwL+NfLvVzWvgHgsRWdLn69xGMZUMC2Tsj1bmghFbOYsnx5tGCzb4rRzKjjw0jGScdOLqV/vlq1o\nPE7eRdmdlIUXLSRQWXm8qtUwJsPRfV0UVeYSifrbAaZqvltSZwaRNYxTm3ZJWTqZYe8LLcw/p2LS\nR7CeSAvPrSSdctj/4jG/Q8kaPRufQMJhclcPOTRU1hAR8i660J1yKZXyOxxjBlBVmvZ3UuVzKRlA\n8awowbBN075Ov0MxjKw37ZKyg6+0kopnWLRqelRd9ps1v5C84rCpwhwg9sRGcs89FysS8TuUU4pe\neCFOTw99L7zgdyjGDNB1LE5fd4rK+f62JwOwLKGirsA09jeMYZh2SdnuLU3kFISoWVzkdyjjSixh\n4apKDu1oI95jSluShw6RPHAg66su+0XPOw8CAVOFaUyKbGlP1q9qXgGtDT2kkhm/QzGMrDaipExE\nrhSRXSJSLyK3DvF+WETu8d5/VkTqBrx3m7d+l4is89bNFpFHRWSHiGwXkb8by8Uk+tIcfLmVBSsr\nsOxpl2+y8NxKHEepf67Z71B81+M1ms/2Rv797Px8clesOB63YUyko/u7CIRtSqujfocCuD0wHUdp\nOdjtdyiGkdWGnbmIiA18B3g7sAy4yRvVeqCPAO2qugD4OvAVb99luNOanA5cCfyHd7w08BlVXQa8\nBfjEEMcctr3PNZNJOyxaPb2qLvuVzc6jqDLXVGHiVl0GZ88mVFfndyjDFr3oIhKvvkqqySTVxsRq\n2tdJ5dz8rPlx2j+I7NH9pl2ZYZzMSD6xq4F6Vd2nqkngbuDaQdtcC/zEe34fcJmIiLf+blVNqOp+\noB5YrapHVPU5OD6h706gZrQXs2dLEwXlOb5MvjsZRIRFqys5XN9BT3vc73B84yQSxJ59lrwLL8D9\n5zU19Fe1xjaZgWSNiZNOZjh2qIdKn8cnGyi3IERBeY7pgWkYpzCSpKwGODTgdQNvTqCOb+PNNdcJ\nlA5nX6+q82zg2RHEdFysI0HDrnYWnVs5pb6oR2rhuZWgbtu5map361a0r2/KVF32Cy9eTKCiwlRh\nGhOq5VAPjqNZ056sX9W8Ao7u6zSDyBrGSWRF2baI5AG/Bj6lqkP+lBKRj4nIVhHZ2tLS8qb392xt\nAmXaVl32K6rIpaKugN2bZ25SFntiIxIMEl2zxu9QRkREiF54gTs0RtqMN2dMjGxr5N+vcl4hvZ1J\netoTfodiGFlrJElZIzB7wOtab92Q24hIACgEWk+2r4gEcROyX6jq/Sc6uap+T1VXqeqq8vI3z2e5\ne3MT5XPyKa7KjoatE2nR6kpaG3poPdzjdyi+6Nm0yR0KIzfX71BGLO/Ci3C6uuh78UW/QzGmqaP7\nOskvjRAtDPsdyhtUzfcmJzdVmIZxQiNJyrYAC0VknoiEcBvurx+0zXrgA97zdwN/Uresej1wo9c7\ncx6wENjstTf7AbBTVe8c7UW0H43R8lr3tC8l67dwVSViyYwsLUs2NJLcu3fKVV32i55/Htg2PY8/\n4XcoxjTVtL/r+Cj62aS0Jg87aJnG/oZxEsNOyrw2YrcAG3Ab5N+rqttF5Asico232Q+AUhGpBz4N\n3Ortux24F9gB/AH4hKpmgLXAXwBvFZEXvOWqkV7E7s1NiHjtrWaA3IIQs5cUs2dzE+rMrPYZPX98\nBIC8Sy72OZLRsQsKyD33XLoffti0rTHGXU97nJ72RNZVXQLYAYuKOfk07TMlZYZxIiNqU6aqD6jq\nIlU9TVXv8NbdrqrrvedxVX2Pqi5Q1dWqum/Avnd4+y1W1Qe9dZtUVVT1TFVd4S0PjDAmdm8+Ss3i\n4qwrrp9Ii1ZX0t0W58gMm7qka8NDhBcvJjxvnt+hjFrBuitI7t9PYs8ev0OZUUY7zqKIlHrjKfaI\nyLcH7bNSRF729vl38bmXUX/VYFUW9bwcqHJeAS2vdZNJO36HYhhZKSsa+o9F0/4uuo7FWbS6yu9Q\nJtW8FeUEgtaMqsJMNTXR99xz5K+7wu9QxiT/8stBhO4ND/kdyowxlnEWgTjwOeCzQxz6P4GP4jbJ\nWIg7DqNvjuztxA5YlNXm+RnGCVXNLySTdmg5ZAaRNYyhTPmkbPezR7GDFqed/ebG/9NZKBJg3lll\n1G9rmjG/OrsfdqsuC9at8zmSsQmUlZG7ahVdG/7gdygzyajHWVTVmKpuwk3OjhORWUCBqj7jtZ39\nKfDOCb2KU2h4tZ2q0wqxg9n5ZvMfAAAgAElEQVR5a69e6E5/17ir3edIDCM7Zecnd5gyGYf655qp\nO6OMUE7A73Am3aLVVSRiaQ7taPM7lEnRvWEDoQWnET7tNL9DGbP8detI1u8lUV/vdygzxVjGWTzZ\nMRtOccxJ09uVpLWxh9lLi/0K4ZRy8kOU1uRxaKdJygxjKFM6KTvw0jH6ulMsecvMqrrsN/v0EiLR\nILs3H/U7lAmXPnaM3q1bKbhiapeS9euvwuzasMHvUIxJcKpxFsdDf+lT7eKSCTn+eKldWszRvZ2k\nzeTkhvEmUzop27HxMHnFYeYsP9mP2enLti0WrKpg34vHiMdSfoczobofeQRUyZ/iVZf9gpUV5Jxz\njmlXNnnGMs7iyY5Ze4pjAqceZ3E8NLzaRignQPnc/Ak5/nipXVxMJu1wZO/M6qRkGMMxZZOyrmN9\nvLazjaXnz8Kypu+0SqeybG01mZQz7Rv8d23YQKiujvCihX6HMm4K1q0jsXs3iX37/Q5lJhjLOItD\nUtUjQJeIvMXrdfl+4H/HP/ThOfRqOzWLirL+fli90I2x4VVThWkYg03ZpGzHk4cRYOnaar9D8VX5\nnHzK5+SzY1PjtB33Kt3WRu/mLeRfuW5azWuaf8XlAHQ/ZKowJ9pYxlkEEJEDwJ3AB0WkYUDPzb8B\nvg/UA3uBByfjegbrbOmjuzXO7KXZXXUJbielyvkFNLw6M9rCGsZITNnW8TufOsKc5aXkl0T8DsV3\nyy6o5vFf7qLpQFfWjk80Ft1//CNkMlO+1+VgwaoqclasoGvDQ5R9/ON+hzPteWMgPjBo3e0DnseB\n95xg37oTrN8KLB+/KEenP8GpXZK9jfwHql1Swpbf7yceSxGJBv0OxzCyxpQsKUv0puntTLJshpeS\n9Vt0biWBkMWOTYf9DmVCdG94iOCcOYSXLPE7lHGXf+U6Ejt3kjx40O9QjCms4dV2okVhiiqnxnyw\ntUuKQaFxt6nCNIyBpmRSFu9JkVsYou6MmdnAf7BQToCFqyrZs7WZZDztdzjjKtPRQeyZZyhYd8W0\nqrrsV3CFOxBu1x9MFaYxOuooDa+2U7ukeMp8RirnFRAM26ZdmWEMMiWTsmQ8zbK11Vj2lAx/Qiy7\nsJp0IsOeLdOrwX/n734P6TT5V/o6UPqECVZXk3POOXTefz/qzIxBgI3xdayxh3gsxewpUnUJbs/x\n6oVFJikzjEGmZFajwNLzZ/kdRlaprCugtCbK9o3TpwpTVWm/+y4iy5eTc/rpfoczYYpvvIHkwYPE\nnn7a71CMKajBG4i1dkn2N/IfqHZJMR1NvXS3xU+9sWHMEFMyKQtHbArKcvwOI6uICMsuqKbltW5a\nXpse88r1bdtGsn4vxTfe4HcoEyp/3Trs4mI67r7b71CMKahhVxvFVblEi8J+hzIi/UmkKS0zjNdN\nyaQskhfyO4SstGh1FXZw+jT4b7/rbqz8fAquusrvUCaUFQ5TdN276P7To6SOTv/ZGYzxk0k7HN7T\nMeVKyQBKq6Pk5Adp2GWGxjCMflMyKQvnTtmRPCZUJBpkwTkV7Hr26JQf4T/d2krXQw9R+M53YuVO\njR5lY1F0ww3gOHTc+yu/QzGmkKb9naSTzpQZCmMgsYTaxcU07GyftmMsGsZITcmkzDixFZfPJpXI\n8PJjDafeOIt1/Pp+SKWmfdVlv9Ds2UQvvICOX/0KTU3thNqYPAe3tyECNYuK/A5lVGqXltDblaTt\ncMzvUAwjK4woKRORK0Vkl4jUi8itQ7wfFpF7vPefFZG6Ae/d5q3fJSLrBqz/oYg0i8grY7kQw1VW\nm0/dGaW8+KdDU3Z4DHUcOu65h9zVqwmfdprf4Uya4ptuIt3SQvcf/+R3KMYU4GQcdj19hNnLSgjn\nTs0BWOcuL8WyhFefMdX2hgEjSMpExAa+A7wdWAbcNGCqkX4fAdpVdQHwdeAr3r7LcOeaOx24EvgP\n73gAP/bWGeNk5dvrSMTSU7ZtWWzTJlKNjRTfdKPfoUyqvIsuIlhdTbtp8G8Mw4GXWol1Jll+UY3f\noYxatDDMvBVlvPrUEdKpjN/hGIbvRlJSthqoV9V9qpoE7gauHbTNtcBPvOf3AZd5E/VeC9ytqglV\n3Y87T9xqAFV9AjAtPcdR1fxCahYX8fzDr5FJTb2xr9rvuhu7rIz8yy7zO5RJJbZN0Q030PvMMyT2\n7fM7HCPLvbKxkbziMHOXT+1BtE+/qIZ4LMXe51r8DsUwfDeSpKwGODTgdYO3bshtvAmAO4HSYe57\nUiLyMRHZKiJbW1rMh/dUVl5ZR29nkp1PH/E7lBFJNTbS8/jjFF13HRKaeb1si959HQSDtP/8F36H\nYmSxzpZeDu1oY9kFU38Q7dpFxRRW5LD9iUa/QzEM302ZT7Oqfk9VV6nqqvLycr/DyXq1S4qpqCvg\n+YcO4mSmTmlZy3/+J2LbFN9wvd+h+CJQWkrRO6+l/Ve/ItkwtTtrGBNn+xOHEUumxfy/YgmnX1jD\nkb2dtDb2+B2OYfhqJElZIzB7wOtab92Q24hIACgEWoe5rzGORISVV86l61icPVub/Q5nWBL19XTe\n/xuK33sTweqp/2UzWmW33ILYNi3f+KbfoRhZKJNy2PnUEeadVTblBow9kaXnzcIOWLxiSsuMGW4k\nSdkWYKGIzBOREG7D/fWDtlkPfMB7/m7gT+oOQLMeuNHrnTkPWAhsHlvoxqnMO7OMkuoo2x48MCVK\ny5q/8Q2snBxKP/5xv0PxVbCykpL3v5+u3/2Ovu3b/Q7HyDL1zzUTj6WmdAP/wSJ5QRasdMdYnKq9\nxg1jPAw7KfPaiN0CbAB2Aveq6nYR+YKIXONt9gOgVETqgU8Dt3r7bgfuBXYAfwA+oaoZABG5C3ga\nWCwiDSLykfG5NEMsYc0182k/2stLj2Z3VVjvc8/T88gfKf3LjxAonnoDYY630o/+JXZREc1f/aoZ\nWHOcTNCQPgdE5GUReUFEtk7GdWzf2EhheQ61i6fX5+T0i2pIxTPs2dLkdyiG4ZsRDY2vqg8ADwxa\nd/uA53HgPSfY9w7gjiHW3zSSGIyRmXdWGXOXl7L5t/tZsLKSvOLsq+5QVZrv/Bp2WRklH/jAqXeY\nAez8fMr++uM0fenLxDY9Sd6FF/gd0pQ2YEify3E7Gm0RkfWqumPAZseH9BGRG3GH9Llh0JA+1cAj\nIrKo/4clcKmqHpuM62ht7OFIfSfnv2sBYslknHLSVM0voLQmyitPNLLsgmrcjvuGMbNMmYb+xuiI\nCBfesAjHUZ68b4/f4Qyp57HH6Nu6jfJbPjEjplQarqKbbiJYU0Pz176GOtlf/ZzlJmRIn8n20qMN\nWAFhyflVfpx+Qom4Df6PHerh6L4uv8MxDF+YpGwGKCzPYeWVc6nf1syhHdk1JJxmMrTceSehuXMp\nuu46v8PJKlYoRPnf/z2JV1+lc/3g5pvGCE3UkD4KPCQi20TkYxMQ93GdLX28+tQRlq2tJidveg4X\ns/gtVUTygmz5nRmnz5iZTFI2Q5x9xRwKy3N4/O5dWTWgbOsPfkhiTz3ln/o7JDg1p4qZSAVXvZ3I\nmWfSdMe/kdi33+9wjDe7QFXPwZ3p5BMictFQG43HOItbH9iPWMLKK+tGH22WC0UCnHPFXA7tbOfw\nng6/wzGMSWeSshkiELS56KZFdDb38fzDB/0OB4CejRtp+frXKbjq7eRfaWbaGopYFrVfvxMJBmn4\nm78h09npd0hT1YQM6aOq/Y/NwG84QbXmWMdZ7GjqZdczR1l+cU1WtgsdT8svqSG3IMSz6/eZTi7G\njGOSshlkzrJSTjungi0PHKBpv79tNpIHD9L4mc8SXrSIWV/8omnUexLBmhpq//2bJBsaaPzMZ9G0\nGTJgFMZ9SB8RiYpIPoCIRIErgFcmIvjNv9uPHbQ4Z93ciTh8VgmGbM65ci6H93TQsKvd73AMY1KZ\npGyGufi9i4gWhnnwv14i1pnwJYZMT4yGW25BRKj9zrdN4/5hyF21iqrbP0ds0yaav/o1v8OZciZo\nSJ9KYJOIvIg77uLvVfUP4x17a2MPe7Y2cealteQWTM+2ZIOdfmE1ecVhNpvSMmOGMUnZDJOTF+Kq\nvz6TRF+aB//r5UlvX6aqHLntNhJ791Hzja8Tqq2d1PNPZcXXX0/xzTfT9uMf037vvX6HM+Wo6gOq\nukhVT/OG6EFVb1fV9d7zuKq+R1UXqOpqVd03YN87vP0Wq+qD3rp9qnqWt5zef8zxtuV3+wmGbc6+\nfPqXkvULBG1Wvr2Oo/u6OPhKq9/hGMakMUnZDFRWm8dlH1hG0/4uHr9716T9ElXH4ejnP0/3ww9T\n8Q//QPS88yblvNNJ5W23El27lqO3/wttP/2p3+EYE6zltW72Pt/CWZfNJpI3szrCLD1/FvmlETb/\ndr8pLTNmDJOUzVALVlaw8u1z2fnkEV5+bOLnm9N0msO33krH3fdQ+tG/pOSDZpDY0ZBAgNr/+A75\nl7+Npn/7Es1f/4b5wpqmHEfZeO9uwrkBVlw2+9Q7TDN2wOLcP6uj5bVudm82o/wbM4NJymawNVfP\np+6MUjbes5sn79szYVWZTjJJ49//PV3rf0v5pz5FxWc+Yxr2j4EVDlPzjW9Q9J730Prd73L09ttN\n4/9p6IVHXuNIfScXXL+QcO7MKiXrt/gts6iaX8jGe3bT0x73OxzDmHAmKZvBxBLWfXQ5yy+q4YVH\nDnHf/7+V9qOxcT1HpidGw1//Dd0PP0LlP/0TZR//q3E9/kwltk3VFz5P6cf/io5f3cehj32M5MHs\nGOrEGLtjDT08u34f81eUs3jN9Bu9f7gsS7jsg0vJZJQ//mQn6phSYWN6M0nZDBcI2Vz83sVc9ddn\n0NOW4N47tvDKE43jcvPr2biJfddcTezpp5l1xxcpef9fjEPERj8RoeJTn6LqC5+n78WX2Hf1NbR8\n+zs4CX961RrjI5NyeORHOwjnBrnk5sUzvlS5qCKXtdctoOHVdl5+fOKbWhiGn0xSZgAw76xybvzc\naqpOK+TxX+7i3i9t4dDO0U3JlOno4PCtt3Hoox/FiuQw9+c/N1MoTaDi669n/gMPkP+2t3Hs299m\n39XX0P3II2a+zClq8+/20drYw1vft4Sc/JkxBMapnH5hNXNOL+Xp++vHvTTfMLKJScqM46JFYa75\n5Aou/8gyEr1p1n/zBX77rRc41tAzrP2deJy2X/6SvVdfTedvf0vpx/+Keb+5n9xzzp7gyI1gZQU1\nd36NOT/8AWJZNNzyt+z7s3fQfs+9OHHTFmeqOLyng+ceeo1la2dRd2aZ3+FkDRHhre9fgh2yeORH\nO3Ay5geHMT3JVOy5tWrVKt26davfYUxrmZTDS481sO3BAyR609QsLuaMi2uoO6sM235jLp/p6KDt\nl7+k/ee/INPWRs6KFVTd/jkiy5b5FP3Mpuk0XRs20PbDHxHfvh27pISi664j/4oriCw/fUpWh4nI\nNlVd5Xcc4+FE96/Wxh5+c+dzhHOD3PB/zyUUCfgQXXar39bMhv9+hSXnVfHWv1iKWFPv37IxMw33\nHjaipExErgS+CdjA91X1y4PeDwM/BVbizhl3g6oe8N67DfgIkAE+qaobhnPMoUy1pExVUXVQR93h\nC1QRy0IsQcTK6i/JeCzFK080sn1jIz1tCXILQyw9bxazaoPkHXqB+MbH6H7scbS3l7yLL6b0o39J\nzsqVvl2TqtLX3UV36zF62o7RfewY3W3H6OvqpK+7y1u6SScTZFIpMqkU6XQKTvExsAMB7GAQOxgk\nEAwRjkbJLSgkJ7+AnIJC8opLyC8tI7+0nPzSMqJFxYjlb0G0qtK7ZQttP/oxPU88AZkMgVmzyH/b\n28i75GJyzlqBnRf1Ncbhmu5JWdvhGP/z9eewbIs//8w5FJbn+BRd9tvy+/1s/u1+ll1QzSXvXWwS\nM2NKGO49bNg/xUTEBr4DXA40AFtEZL2q7hiw2UeAdlVdICI3Al8BbhCRZbhzzZ0OVAOPiMgib59T\nHXNEVJXOWDtNxxpobmukvb2Zrs5Werra6evuIhGLke6L4ySSOMk0JNNI2gEHxFHEAen/gvYeZeDz\nAe9J/+sB71mI+566e9oq7hGk/1jixemg3v8cAScAGrQgYCHhAFZOmGBODqFolJy8fPIKiiksKqO4\nuILykmoKikrJyS8gEs2b0C//SDTI2ecXs6S8lQObm9m1W9n2YAJEECdCQfwsyi8+k6q1Z2GfNQ8q\nJ3bKpHQySayjzU22WlvoOtbiPrY003Wshc6WJtKDGrqLZRPOyyOYGyUQycHKLyRkB0AsLCsAYnOy\nHFIBdTKokwEngzppEskEvUePkNpXT7Knh0w69YZ97ECAgvIKCsorKSgrp6Cswn1dVkF+WTl5JSXY\ngYkd5kBEiK5eTXT1atLt7fQ89jjdDz9Mxz330P6zn4FlEVmyhJyVK8k58wxC8+cTnjfPTHs1yTqa\nevnfbzyPiPDOvz/bJGSnsOqqOjIph21/OIhtCxfeuCirf9gaxkgMu6RMRM4D/lVV13mvbwNQ1S8N\n2GaDt83TIhIAjgLlvD6H3JcGbuftdtJjDqVuTrV+7q/fi/YkseIOVkIIpi2CToighghJmICECVoh\nAlaIgAQJWEFsCbrPxcaWILbY2BJAxEYQRATpb2bnfchf/6i/8UMvMn6JkKqDoxkcTeNohoymyTgp\n0poipSnSmibtJElrirSTJOUkSWvSfa5J0pIiI2mcoKJBIGRhh2wCkSCBnDDhnBwi4Rwi4Qg54Vwi\ngQhBBctRLMdBkimkrw+NxdDeXrSzC+fYMdLNzWSam9Ge19uUSSQHa+FS+pZfQlfpQo51Bmlp6MFJ\nv/7vKBQJkFccJrcwTLQoTG5+kGDEIhgSAiHBDoKIg0gGyICmSSXipBJ9JOO9pPp6iff0EOvuoK+7\nk2RvjFR3DKcvjqTU+3uGCHpLIJBLMJBHwI4StHIJSg5BiRAgTNAKEhALG8EWsMVtSGnBqG/kjioO\nkFG32DejkFGHlKZIaoIUcVJOH2mnj5QTI53uIZWKveFvl3KSEA5g5+UQKconWlxEQUkJecUlRAuL\niOTlE86NEo66SyiSSzASxrLsMfxL8+KPxeh9/gX6nttG77bn6HvxRXRAu7NgdTXBuXMIVlQSqKhw\nl/Iy7KJi7OJi7OIi7MJCJBSatC/D6VpS1tnSy2++9jxOxuGdnz6HkllTo+TSb6rKU7+u54VHDnHW\nZbNZ++4FJjGbQOoo6dY+UkdipI7GSLfGcfrSaF8aJ55G0w5WJICVE0AiAez8IMGqqLvMimKZqvjx\nLykDaoBDA143AGtOtI2qpkWkEyj11j8zaN8a7/mpjvkmBakC1nVe674Iessgqg5OJoFmkqAp0DQW\nGYQMSBokjliADcfzKwsGlmq9Xqclg14PTeRk7w/xnleapo4iGcV2AEdRBzQjoIKqBUTAygcrhNhh\nJBA+dVKYAWLeAjjHE78MDg6qGTI4pNRx/1sRxdHi49tpvqL5Cqfp8RHjdeA1tCjRln1Egbk2aH+u\noAoO0CZIm3t97v8LaYSMuGWFguVW3SJYYmGJTQSbXLGxJQ9birGtedgScA9R4C0n4aAkcUiJQ9py\nSNtKKpAiEQANCAQFCVruYgtYguU9nrSkTN3/04y6VdBpB007OEkH0oqkFSsFVlrIyUTId3IJqkVQ\nLQLD+aJIgB5RMofdBDyjfSS0m943JOoZFMdLCB3Uu97jpa0D/kIqr/+lHBTB/ZOI9G/Xv20QitfA\nJWuwtL+k2F0sR5F2kFaFnW3AUD1x+8/H8Y+IDvj8eP+8X99aBq3o17/9FGzfOha7txzlibt2uyVk\nnz7bJGQjICKcf90CMhnlxT8eItaR4OL3LiYSnZmD7I43zSjJhm4SeztI1HeQPNSN9g8uboFdFMHK\ndZOwYHEYsS2ceBqnL02mtY/E/k702aPHj2eXRAjPLySyoIjwaUXYplfxCU2Z9FVEPgZ8DGBpeRWS\ns41wQS5WfgFWYRF2aRl2YR5Wfg52UT52YRQrHPY56vGnjoPT14cTi+N0xcj0xMn09KHxNE5fCieR\nItHXRzKZJJ1MuY+pNJm0Qybj4GQUx1EU8RY4XnYkFqKC5QSPV9mKilvlqkN+nQJvLk0U+lPQ15MD\n9V457jezl1CAI4KqkrEypCWNI0pGFMdycCwHlYy72GnESmPZaQKBDKFQhpyQkhu0CYUFOywEwiFC\noRB5oRDBcIRgKEw4HCEUiiC2W02JZbuPAxMEEd54dW67Pzc79hYnM+AxA+kkTrKXVCJGKh4jFe8j\nFe8mHY+RSfbiJGJoMkYm0YckHTSZIZkJEc/kkHSipMkho7lkyMPRKKoR0BCiISwniKUWltpYWNiE\n3NcIQQQLyyvVdavLxa00H1Da+3oi7F7e6+teXy+vX/qgdwb/VYf+m79+bGNk1FEe+sF29mxpomp+\nAW/70DIKy02V8UiJCBdev5BoYYjN6/dzZG8nl31gKbOXlvgd2pSU6U4Sf7WNvlfbSNR3oIkMAMFZ\nUXJWVdJTGOJwSNirGY7GEsQSGWKJNLFkH+mkkhuxiRYGyA2HKIwUcFpOmDlpKO11sI720vdKK71b\n3emyApW55CwpIbK0hNDsAvdHsgGMLClrBAZOwFbrrRtqmwav+rIQt8H/yfY91TEBUNXvAd8DWFVt\na43+C3TiLg3gIPQFi4lHytC8SoLFteSU1GAXVkNBNRTUuEtuyeBvoilFLAs7GsWORqGi1NdYkmmH\nQ+29vNbay5HOOEc7+zjcGaepK057b5L2WIpkbwdlqaPUyDGq5RjVVivV0ko5nZRLJ2XSSbEMMeSG\n4pb29Uu9eRO/WUDYW/rFNUicEDEi9GmYGBHihElaEVK2RTqcwQmkcAIBCCS80jsHK5jGCkawQw4a\nBAlG0GAAAmEkGMQKhrDtIFYgSCBgY9lBbNvGsgNYto1t2e6/Dds63nnEsmwsy3Y7lOCWDgridjJB\nvPXyemIlbolhfxV+fwPq4wnYoLaLctLETXlzlf+Jt85kMm9aZ9n264f6yklONcW0HYlRv62ZNdfM\n45x1c7FsMzLRaIkIK6+sY/bSEh750Q7Wf/MFznrrbNZcO59geOxV/dOFOooTS5HpTpLpSuL0JHF6\n0zi9KZzeNMkjMVKHugGQghA98/LZk2vxVCrB1uZu9j17lPSAAcVFIBoKEA3bREMBArbQm8zQm3QT\ntUT6jUOWFOcGWV5TwAWFhazI2MxqT5He2Ej34w1YuQHCi4rdJG1RMdYMnVKs30jalAWA3cBluInT\nFuC9qrp9wDafAM5Q1Y97Df3fparXi8jpwC+B1bgN/f8ILMS9a5/0mENZuHS5/n9f/xa97U0kO4+i\nPc3YvS1Ek61USAcV0k6ltFNOB/agKsW0FSaZU44TrcTKryJUXE0gv9JN1nJLIVrmPuaWQU4x2FOm\nMHHcpDMOXfE0Hb1JOvpStPUkae5O0NTlJlyHO+McOBajob0XR0FwqJFjLLNeY2XkCEvtRmpopjJz\nhLxM5xuO7VhBktFqMrnlEK1A8iux8sqxc4uwIgVYOQVIuACCuRCMuI+BMFhBVCwcCZByIJFRkqk0\n8ZRDIp0mnkgQj8dJJhMkEgkSyaTXTi1OOhknnUmTyaTJpNNkMhm3o4W+3jN2MJXXSw/dxUYsG7Ft\nRCysUAQ7HCUQyiUYySWUm0dObh55kTDRsE1+JEhBJEB+JEgkmN09bKeC6dSmbH71Un36qWeprDtF\nffwE60mk2d/ifo47+1J0xVN09qWIJTKkHYeM434+Mo6SUUUVMt4Xc27IJifkfiHnRQLUFucwpySX\nuSVRCn36Uk0lMzz963pefryRcDTAmZfUcuals4nkzYwveVXF6Um5bb5a+kgf6yN1zH3MdCRgiFla\n1AInHKA312ZnrvCHvjiPHOs63syhIj/M8ppCllTlU1caZU5pLnNLc6nMj2CdpNdrLJHmUHsvB1vd\nH+17W3rYfriLXUe7SXpjzNXkBPnz4gLOx6amLYUdz4BAaE4BkSXFRBYUE6zJmza9aydqSIyrgG/g\nDl/xQ1W9Q0S+AGxV1fUiEgF+BpyN2wjlRlXd5+37f4EPA2ngU6r64ImOeao4TjQkRiKd4UhHnMMd\nfTS099HY3k1XSyPJ9kas7kbCvUep0FYqpJ0KOrwEroMC6R3yPA5C3M6nN1RKPFJBMreSTLQKCmux\nS+YSKZ9PXtU88qN5WfOlG09laI0laetJ0hpL0BZL0t7r3my7+t742L/0Jt2bsONAxrsJD0UEyvLC\nLMuLsTZygBVWPXXxnZR27cRODSjtKpoDJfOhuA6K50HxXHdd4Ww32fV5qAhj6plOSdnKlat027bJ\nG9Innsqwp6mHHUc62XG4i11N3RxubiUYO0y1HKHYOkqEHsIaJyRxQlaKgDpYKLY4WDjYONgoFhm3\nkwyWV6JqIRok6RTQTgktFNIbLCVUOpfi6vnMq6liSVU+iyrzKcyZnOTo6L5Otv3hIAdeOkYgZLHs\ngmqWnj+L0prsuU+PldObItX8/9g78/ioqrv/v7+zz2QjBBJ2wio7iAi4dXHFDW3doNrW1v58+mif\naqu1ta12ebQutbV2fWrVLta1ohYVUXGrtuyCLLJDgLAmIXsy6/3+/rg3ECNLIJPcSThvXvc1M/ee\ne+5nMsOZzz3ne76ngcTuBhJ76knsbiC5px6rIbm/TMIrVIc87PHCTix2plLsSCTYFk9SgUU1SvNf\nvuygjwn9uzFxQDcmDOjGmD55FOaG0qo7nrTYsLeWFaXVLNtWyQfbqti4tw4BRuHlwqwIU9VHYYPd\ncy4hL8HB3QgOySM4IBd/7yzE1zl/P9rFlGUKx5qnzLKUivo4e2qilNXFKKuJsbc2Sm19A6m6Cmgo\nx9NYgT9WSShRRSRRRXaqijyrkkL2UeSYOb98fKhlt+azw9OHvf6+VIf7U59dTLzbULw9BpOfk0XP\nnOD+rSAriPcYnH8yZTVbseMAACAASURBVFFRH2dvTYzdNVFKKxvYUdnIjqpGdtdEqaiLU1EXoz7+\nyWGgJnJCPnJDfvLC9tYtYj9mBX14PYJHBK8H/B6hyNdAkVRSoOUUxHeR37CZcNUGPGVroaHCrtDj\nh15joO9JUDTG3gpHQDDnqN+fwXA40mHKunqexZSl7KhsZGNZLWt21lC6YzvVO5dDzRpyrT0EUnVI\nMglxD8S9eGM+QjEfXrXjFD3i3b8diaZJQ00TUJIei1gwhRVI4AkkCAfidPM3kuu1CHhCWHQjGuyD\nlduPYI9B5BYNpEefYvr37U9hbqhdzFLFzjqWvb6N9Yv2oJaSUxBi0LgeDBrfg16D8/AFMnt4U1NK\nqjpGssLp9drTQOPuepJ7G/A0M19RD5R6lLWpJBs1xWZSbMWiAiU76KN3XoieOUHyswLkR/x0jwTI\nDfvJDfnJDvnIDvooyg0xtDD7mH6b2kp1Q4Jl2ytZvr2KZduqWLatEk80xUl4mSx+pnj89HB+1iyv\n4CmKkDUwl0DvbHy9IvgLI51idqcxZWlEVWlMpKiNJqluiNFYsYN4+Rasyq14q7cRrN1GTsNWukdL\nybWq9p8XVy9btRcbtQ/rtR8brH5soi/7QgMJh8P7/2M0DW95BDwiJC21AyhjSerjKaoaElTUx2j5\nUQV9Hvrlh+mdF6ZHdoCC7CDdIz6Kgkl6BmL08DWS742SSwMRGvHE6yBeD7FaiFZ/fIvX2VusDqJV\nkGyxNE8wzzZcPU+AwlG2Ees1zh5iNBjambaaMifP4nqa5UQEZjbPiSgiNwDjmoVffE5Vm/IsPsWB\n8It5QFOexcPWeTCOpf2KJVNU1ifYVx9nX00NFXtLKduzkep9W6mv2kG8bg9WtJZgAiLxIJFELlmp\nHCLkEPKGCXoiBL0Rgp4wIW+IoIQIeEL4vCG8nkCbUvyoWiRTURJWjLgVJW5FiVqNxFKNRK0GYqkG\nYqlGGqSWBm8tcX8VBKrJ8jeQ60sQEi8BX4igP0JWMBdPJB8J5uIN5+GL5BKIdCMQySYUySYUySEU\nySEYiuD1B+3QBm8QvH578ziPzUxeQ02ckhXlbPmwjO1rK0klLMQjdO8doeeAHHoOyCWvMEx2fpCc\n/BCBcPv+wKsqGrew6uKk6hMkamLUlUdp2NdIoiqKVRPHWxMn1JjC06zNr0fZikWJY7o2YVEe9BAq\nCNEvP0L/7mH6d4/QPz9C3/wwvfNC5IQ639CtZSklFfWs3lnDqp3VrNpRTVlpLX2jFqPwMhIvJ+Al\n3CxmtTHkJZnjR7oFCRSEyS6MkNU9jD8ngCfbjzfL73oPW3ukxDhuEREiAR+RgH1HQa884BBLCEWr\noWIjlK2HPWvpu2ct/cvXMa1mKeKM1FuWUB3rwZ5kL3bU9WIv3amRXGokmxqyiUmYooAffyBIIC9A\nXiEUBRL0CMQo8EbpLnXkp8oJRfcitbuhoRyq6m1DlWjlYr3BXAh1g1Ce3bOVXQiBwRDMto/l9j0w\nQSKvH+T06tQTJAzHPZOBjc3CKZ4GLgGaG6hLOJA/8Tngt2J34VwCPK2qMWCLiGx06qMVdX6CqtJS\nXvjWLYgzwVfs/Cb7ZzrL/pm3Xjz48IgPL3aeRY/Yj709AfqJH59nKH4Zjd8TJOAN4Q354CD3SaoW\nmmiAVCNoDJEY4okh/mo7RYxPwOtBfJ5WzYTTpIWmLEhaWEnFH7fwJSCMByUI3hwIRvD4Dz2rNGkl\niCdsM2fnXUyQ0gRJK4Gl9nP7sRxlN0oSJYGSBFIoSadNTTo5DxUhZe+Tj8/7RuwJOUPwkpB8ElYO\nyR05lG/PoezfzY2LXYdHEnhIIiTxiH0dj1jORBjFI02TZDxOL6MHwbe/p9GLz8mF6cOLz86rKEF7\n8wTsVD8t8KlFIlVPLFVPfaqW2mQ19alq6pM11KeqiWkD4ty49xGhn9i/Tdpsalw9wlpgHdKsvW6a\nKe1xMj7Zx2R/+hqn7P4k6MLH7/+bctZ8vL7m9cv+187cbjlQt0jT66bnzoxwZ0PEDtsVj/PoTEIS\nYZjAcI8HEUgFIWpZ7EpabE6k8CfDhDWLHLLJi+WQW5tF7p4s/BIiLkK8xd83oUkSJImTIClJUqRI\nYmFJkpRYWM6GWFjiJBsSCxVlvzven27IPo7ogT9d07H9ieIP7DuaX05jytJNKM/uRep7EgFgfzaW\nRBQqNsDetXj2bSK/soT8yhJG7FsJ9Xvt1rk5R/JWwVzI6W2bpT4nQiDbNleBLPt52DFcTaYrkGMb\nrkC2XSYNSUgNhk5ExuRZjEg3Tg5e2mrhllpYVsLOWecYFstKoJqAZANILeoDKxQgEAnhyQrg7RbG\n1z0bX0EO/qLu+HoX4I107EoBqkqqpo7EzjKSZdUky2tIVtZj1URJ1SfQhigaTeJJCQH1EsCHRyKI\nz4/H48MjzqPH36oh1Uwg5QzrJjVByko6eQeTxJNx6qx6ElachJUgZkWJWlFiqaj9PBUlmmpsZoaa\npekRwf6pzoX9t/Yf52M5JLXZMjNNphTL3rTp+f4kRc3Kt9xa1td8v9WsfndIAA3YcQbN8eAl4ssh\n6M0i5LV7iEPeCH5PiIAniN8Twu8J4pcAQY8fn0TweQJ4xWvfALn8XTOmrKPwh6DXWHtriWVBrAYa\nK+0tXg9W8sAmXgjl2uYqmGvPCg1md/x7MBgMx0TzPIuDioqoGLWFQDBEKBTGH44QzMknmJWNPxjC\nE/TjCQfxhAJIKIAE/J0yQF1E8OXl4MvLgZHHXo893BdHY3GsaByrMY4mkiTjMRLRKPFolGQiRjIe\nJxWPk0zESVkWmkphWSmsROrAsnaW5TwXJwehY2gEO0F0U5JFjyLIgc4hD3byZRUsy54EpiIo9sxU\nS+3ci5ZdjZ1L0IOTAFztXlFN2dMd1U9QfAQ1y8mHqI79sg2O3dPHgdyQoo5Fa1q/T2nq5LJ7pRTU\nmT+1P3ezhadpVRrnHGmq82MdXk0pcQSP00va1JPl9Xrs9DlNqXS89nJ04vHgERDHvNjGzvmc9s/Y\nTaEpdW4oFCuZsmeHpixSSQvLsnNmqlqkkvZ++/ymXJr2WtGWs160Zdnv0bKsA8m8VZ3Pr6lPQ/fr\naNqPKili1OEsvacHvlPNsVrUJeqs8oMHUU+z3I5Nvdmy/xUINOXzdP6w+5dT3F+m9RhTlgl4PHbP\nVrgbMMhtNQZDVyRz8ixOmqTjv/SlY3sXxyEiggSDEAzidTeLiMFw7Dz4g1YV65xzSw0Gg+HoWAwM\nE5FBIhIAZgCzW5SZDXzZeX458Jbat9SzgRkiEhSRQdg5Fhe1sk6DwWBoNaanzGAwdHmcGLFvAK9x\nICfi6uZ5FoFHgcedQP592CYLp9yz2AH8SeBGVU0BHKzOjn5vBoOh62BMmcFgOC5Q1TnAnBb77mz2\nPApccYhz7wY+kdj6YHUaDAbDsdIp85SJSC2wzm0dh6EHUO62iMNg9LWdTNfY1fQNVNWe7SWmIzHt\nV1rIdI1GX9vIdH3QTm1YZ+0pW5fJS66IyBKj79jJdH2Q+RqNvozGtF9tJNM1Gn1tI9P1QftpNIH+\nBoPBYDAYDBmAMWUGg8FgMBgMGUBnNWUPuy3gCBh9bSPT9UHmazT6MpdMf++Zrg8yX6PR1zYyXR+0\nk8ZOGehvMBgMBoPB0NXorD1lBoPBYDAYDF2KTmXKRGSaiKwTkY0i8j239QCIyGMisldEVjXb111E\n3hCRDc5jvov6+ovI2yLykYisFpGbMkmjiIREZJGIfOjo+4mzf5CILHQ+62ecjOmuISJeEVkmIi9n\nmj4RKRGRlSKyXESWOPsy4vNtprGbiDwnImtFZI2InJJpGjuCTGvDTPvVZn2m/UqPvoxuwzqy/eo0\npkzs1U9/B5wPjAJmisgod1UB8BdgWot93wPeVNVhwJvOa7dIAreo6ihgKnCj83fLFI0x4ExVHQ9M\nAKaJyOeAzcBDqjoUqASuc0lfEzcBa5q9vg94MIP0fVZVJzSbop0pn28TDwFzVXUEMB77b5lpGtuV\nDG3D/oJpv9rCwdqvqWRe+5Dp7RdkdhvWce2XOqutZ/oGnAK81uz17cDtbutytBQDq5q9Xgf0dp73\nxs5L5LpOR88/gXMyUSMQAT4ALgUUCB7ssz/IeX8HdgE1wHrgay2OnwWsBRqAt7GT+B2Nrn7Of7oz\ngZcBwU4a6GuNvg74u5UAPVrsy5jPF3th7y04MayZqLGD/g4Z2YaZ9itt2prarykZ1j5kdPvlaMjY\nNqyj269O01MG9AW2N3td6uzLRIpUdZfzfDdQ5KaYJkSkGDgRWEgGaXS61pcDe4E3gK3OoZTzeKTP\n+h6gWFVzgenAXSJyklN3D+B54A6gO7AEeOYoJf4KuA2wnNcFQJWqJlupr71R4HURWSoi1zv7Mubz\nBQYBZcCfnSGUR0Qki8zS2BF0ljYsIz+XTtR+beIY2gcRaa9k7pnefkFmt2Ed2n51JlPWKVHbRrs+\nxVVEsoFZwM2qWtP8WHtqdGJCnheRMhGpEJHfOvs9IvJDEdmK3cu1AntIZzIw5GiuoaqrVTXW9NLZ\nmur4PLBaVf+h9tqGPwbGi8iIVuq/CNirqkuPRlMHc7qqTsQeFrtRRD7V/GAGfAd9wETgD6p6IlBP\ni67+DNBoOAiZ8rk0a7/ewR46ynNi885yNIZF5K5m5T8jIqXNXpeIyHdEZIWI1IvIoyJSJCKvikit\niMw7XEyQiPw/J/5qn4jMFpE+zv4/APep6gTsHqnJwAtAN+d4H+CPwAgR2SIi32xW54+dOKW/i0gN\ncO1BrhsWkV+IyFYRqRaR90Uk7Byb7sSxVYnIOyIy8iDvdwtwCXADkO/oKwH6NHu//YDRInK9iOwU\nkV0icmtrPpc0ksltWIe2X53JlO0A+jd73c/Zl4nsEZHeAM7jXjfFiIgfu0F7QlWfd3a3u0YnhuZl\n7J6vYuy7saedw9c622eBwUA29oLPb2P/BwDwOo+3A4VHuNbvRaQBe5hyFwcWiR4NfNhUTlXrse9k\nR7fybZwGTBeREkf7mdjxBd2a3dm6+l1U1R3O417sH4TJZNZ3sBQoVdWFzuvnsD/jTNLYEXSWNiyj\nPpdm7dfr2O3FydhhCtcAJY7GaCuqugx76HM4cDHwKvB9oCf2b+E3D3aSiJyJ3Rt/JfYw1VYOtGNP\nAVeJiKhqFTAfO/bN4+h+Cfv7/xZ2GMXNInJes+ovwf7/0A144iCXfwA4CTgVu6f/NsASkeHOtW92\n9M8BXpKPB+xfBszG7uW5FngWyHE0+ZxzAXo5j58FhgHnAt8VkbMP9vdoDzK8DevQ9qszmbLFwDCx\nZ40EgBnYX7hMZDbwZef5l7HjIFxBRAR4FFijqr9sdqgjNE4G+gDfUdV6VY2q6vvOsauBXwK12A3E\n7dif6TnARqfMZc6jB7uH65Co6g3YDc4Z2MOVTT1n2UB1i+LVTtkjoqq3q2o/VS129L2lqldjm8fL\nnWKufcYikiUiOU3PsRvUVWTQd1BVdwPbReQEZ9dZwEdkkMYOorO0YRnzuTRvv5zHIHaP+svAWaq6\nydG4rRXV/UZV9zgG4D1goaouc3rQX8AeGj0YVwOPqeoHTo/87cApznBqU/D8GU4P1hXY3+03ge9i\nGyYLeFFVNwN/wv7cm5ivqi+qqqWqjS3euwf4KnCTqu5Q1ZSq/sfRcBXwiqq+oaoJbPMWxjZvzd/v\nTaraB3gR27i9qaozgdXABU65pnbsJ047vRL4MzDziH/RNJDpbVhHt1+dZkFyVU2KyDeA17B7UB5T\n1dUuy0JEngI+A/Rwust/BNwLPCsi12HfVV3pnkJOA74IrHTiHsC+O+wIjf2Brc1iF5rTx7lub+Cv\n2N9FH7AA+64S7LvKnwLLsBvkw6KqKeB9EbkG+G/g10AdkNuiaC62GWwL3wWedoZMWqWvnSgCXrB/\nu/ABT6rqXBFZTOZ8BwH+B3jCMSObga9gm+1M0tiuZGIb1pnaL2ydDdg91X2BqNjxR5ud40diT7Pn\njQd5nX2I8/pgB/ADoKp1IlLhaKgFAtimbhf25/pr7Ju217HbwK8CDSLyM+f4e83qbh5j2JIeQAi7\nZ/9gmppib1FVS0S28/HYsJbvL+nUCXZc7e0ishE7YL2llq3A2MNoSyedoQ3rsPar05gyAFWdw4Fh\nqYzAues4GGd1qJBD4PRMySEOt7fG7cAAEfEdxJjtxJ4F+QpwotMdvxr7LrSfU+bUQxi6I+HjQEzZ\nag7czTTdiQ1x9h8VqvoOdkwLzl3v5GPQllYcHeMPsr+CDPkOAqjqcmDSQQ5ljMaOINPasM7afolI\nLnasVlJVvygiv8Oe/dhEr5bntIGdwMBm187CDpbfoaolIjIN24BdiN1zNktVq0Tki8Df1E6ZcCgO\nF4dUjj0sO4RmIRjNNO03TU6PYn8OPxxeoqrXNqt7saqe7fT4bXHOX+scH+Bco93pDG1YR7ZfnWn4\n0tD5WIR993iv00UdEpHTnGNPAd9yhnKygZ8BzxytCRORQhGZISLZYs+COg+72/1Np8gLwBgRuUxE\nQsCdwApVXXuoOg0GQ+YhIieIyJkiEsQ2K40cmFG4HLhA7ISevTgQL5UOngK+IiITnGv/DHvoswRA\nVZdhm5xHsFNLVDnnLQJqReS7Ygfse0VkjIic3JqLqqoFPAb8UkT6OOef4mh4FrhQRM5yYtduwQ7Z\n+E8b3ucdIhIRkdHYPUFHO0vdkAaMKTO0G85w4sXAUOyYj1LsWAiwG5vHgX9h36VFsbuIP4GIfF9E\nXj3UZbCHKkuxkyA+gD3DdLajoQw7Nu1u5/gUPh7TYTAYOgdB7KHVcuwUBIXYPetgtyUfYs8sfJ00\nGgpVnYedUmcW9k3mED7ZhjwJnO08Np2XAi7CTiq7hQPGLe8oLn8r9tDsYmAfdtJXj6quw57o8Bun\n3ouBi1U1fpRvrznvYsfzvgk8oKqvA4jI1SLieqjQ8YJZkNxgMBgMhuOUZsOX/mMMFzGkEdNTZjAY\nDAaDwZABGFNmMBgMBoPBkAGY4UuDwWAwGAyGDMD0lBkMBoPBYDBkAMaUGQwGg8FgMGQAnSp5bBM9\nevTQ4uJit2UYDIYOYunSpeWq2tNtHenAtF8Gw/FHa9uwTmnKiouLWbJkidsyDAZDByEiW49cqnNg\n2i+D4fijtW2YGb40GAwGg8FgyACMKTMYDAaDwWDIADrl8KXB0FVQVTZUbaCsoQxFUVW0xRrFTWlr\nmvYfLI3NwNyBDO42uP0FGwxpRFWJrd9AcPgw7DW1DYbjG2PKDAYXKK0tZc6WObyy+RU2V29OS50n\n5J/ABYMv4IJBF9Arq1da6jQY2pOKPz1C2S9/SdEPfkD3L17jthyDwXWMKTMYOpCkleQ7736Hedvm\nATCxcCJ3TL2D4fnDARARmv41vQb2vz7wcKBXQVVZXracOZvn8ODSB3lw6YNcPvxy7px6p+l9MGQs\nDR98QNlDDyGBAGW/+hU555yNv5e5mTAc3xhTZjB0IL9f/nvmbZvHdWOu44oTrqBvdt+01Du6x2iu\nHnk122u28+fVf+Yf6//B6ILRXD788rTUbzCkk1RVFTtuuRV/3770e+hXlMyYyZ6776bfb37jtjSD\nwVVMoL/B0EEs3LWQR1Y+wueGfo6bT7o5bYasOf1z+/PDqT9kau+p3LfoPjZVbUr7NQyGtqCq7Pz+\nD0iWl9P3F78gNHIkPW68kdo35lH75ptuyzMYXMWYMoOhA6iMVnL7e7czMHcg35v8vXa9lkc8/Oz0\nnxHxR7j13VuJJqPtej2D4WiofPxx6t56i6JbbyE8dgwABV+5luCwYez+37tI1dW7rNBgcA9jygyG\ndkZVuePfd1AVq+Lnn/45EX+k3a/ZM9KTu0+/m41VG3lgyQPtfr3OgIhME5F1IrJRRD7hjEUkKCLP\nOMcXikixs79ARN4WkToR+W2Lc95x6lzubIUd8246J7EtW9jz8wfIPvNM8r/0pf37xe+n109/QnLP\nHsp/82sXFRoM7pIWU9aKxu5TIvKBiCRF5PIWx74sIhuc7cvp0GMwZBJPrHmCd0vf5ZZJtzCi+4gO\nu+7pfU/ny6O+zDPrnmHe1nkddt1MRES8wO+A84FRwEwRGdWi2HVApaoOBR4E7nP2R4E7gFsPUf3V\nqjrB2famX33Xoe7NNyGRoNePPjkJJXLiiXSbcRX7Hv87sY0bXVJoMLhLm01ZKxu7bcC1wJMtzu0O\n/AiYAkwGfiQi+W3VZDBkClXRKh764CE+3e/TfGHEFzr8+jdNvImR3Udy76J7SViJDr9+BjEZ2Kiq\nm1U1DjwNXNKizCXAX53nzwFniYioar2qvo9tzgxtoP4/8wkOG4q/qOigx3vecANYFrVvvd3BygyG\nzCAdPWVHbOxUtURVVwBWi3PPA95Q1X2qWgm8AUxLgyaDISP4x/p/EE1FuXniza6kp/B7/dww4Qb2\nNOw53nvL+gLbm70udfYdtIyqJoFqoKAVdf/ZGbq8Q0wOkkNixWI0LF1K5JRTDlnG17MnwWFDaVi4\nsAOVGQyZQzpMWWsau/Y412DIaBKpBE+tfYpT+5zK0Pyhrun4VL9PMTB3IH9b/beDrgZgaBNXq+pY\n4Axn++LBConI9SKyRESWlJWVdajATKFx2XI0FiNr6qFNGUBkylQali5F4/EOUmYwZA6dJtDfNGqG\nzsbckrmUNZbxxVEH/Z3uMDzi4ZqR17CqYhXLy5a7qsVFdgD9m73u5+w7aBkR8QF5QMXhKlXVHc5j\nLXZ4xuRDlHtYVSep6qSePXse0xvo7NTPnw9eL5HJJx+2XGTKZDQapXHFig5SZjBkDukwZa1p7Np8\nrmnUDJ0JVeXxjx5ncN5gTutzmttymD5kOrmBXB7/6HG3pbjFYmCYiAwSkQAwA5jdosxsoGmy0eXA\nW3qYrkUR8YlID+e5H7gIWJV25V2E+gXzCY8bhzc7+7Dlsk4+GUSoN0OYhuOQdJiy1jR2h+I14FwR\nyXcC/M919hkMnZqle5ayZt8avjjqixmx1FHEH+GK4Vfw5rY3Ka0tdVtOh+PEiH0Du31ZAzyrqqtF\n5KciMt0p9ihQICIbgW8D+2eSi0gJ8EvgWhEpdSYzBYHXRGQFsBz7hvJPHfWeOhOpmhqiK1eRdcrU\nI5b1dutGaORIGhYYU2Y4/mizKWtNYyciJ4tIKXAF8EcRWe2cuw/4X2xjtxj4qbPPYOjU/O2jv5Ef\nzOeiwRe5LWU/M0fMxIOHJ9Y84bYUV1DVOao6XFWHqOrdzr47VXW28zyqqleo6lBVnayqm5udW6yq\n3VU1W1X7qepHzqzMk1R1nKqOVtWbVDXl1vvLZBoWLQLLIuswQf7NiUydSuPy5VhRM+HVcHyRlpiy\nVjR2i52GLEtVC1R1dLNzH3MawaGq+ud06DEY3GRbzTbe2f4OV5xwBSFfyG05+ynKKuLc4nN5YeML\n1MZr3ZZjOI6on78ACYcJjx/fqvJZUyajiQSNy5a1szKDIbPoNIH+BkNn4Yk1T+D1eJlxwgy3pXyC\nL436EvWJep7f8LzbUgzHEfXz5xOZNAkJBFpVPnzSJPB6qTdDmIbjDGPKDIY0sr5yPc9veJ4LBl1A\nz0jmTUgZ3WM0k4om8cjKR9hVt8ttOYbjgMSePcQ3b2710CWANzuL8NixNCxY0I7KDIbMw5gygyFN\n1MRr+Nbb3yInkMPNE292W84hufOUO0lYCb71zreIpWJuyzF0cernzwcg69TWmzKAyJQpNK5aZRYo\nNxxXGFNmMKQBSy1+8N4P2Fm3k1985hcZ2UvWxKC8Qdx9+t2srljNPQvvcVuOoYvTMH8+3vx8gsOH\nH9V5WVOnQCpF49Il7aTMYMg8jCkzGNLAIysf4Z3Sd7j15Fs5sfBEt+UckbMGnMXXxn6NWRtmMWv9\nLLflGLooqkr9/AVknTIV8Rzdz034xBMRv9/ElRmOK4wpMxjayL93/JvfLvstFw6+0JVFx4+Vb0z4\nBqf0PoW7F97NqnKT89SQfuKbN5Pcu5fI1CPnJ2uJJxQiPGEC9QtNXJnh+MGYMoOhDVhq8f33v8/Q\n/KHcOfXOjEgU21q8Hi/3feo+eoR7cPeCu92WY+iCNCxdCkDW5IOuPnVEIlOnEFuzllRVVTplGQwZ\nizFlBkMb2F2/m33RfcwcMZOIP+K2nKMmP5TPOQPPYUPVBiy13JZj6GJEV67Ek5eHf+DAYzo/a8oU\nUN1v7gyGro4xZQZDGyipLgGgOLfYVR1toTivmFgqxq56kyLDkF4aV64iPHbsMfcgh0aPBq+XxpUr\n06zMYMhMjCkzGNrAlpotgD2jsbPSZCi3Vm91V4ihS2E1NhLbsIHQ2DHHXIcnHCY4bBjRlSbm0XB8\nYEyZwdAGttZsJcufRUGowG0px0yToWwymAZDOoiuWQOpFOGx49pUT2jMaKKrVqGqaVJmMGQuxpQZ\nDG2gpLqE4tziThXg35KCUAHZ/uz9Q7EGQzpoXLECgHAbesoAwmPGkqquJlFamg5ZBkNGY0yZwdAG\nSmpKKM4rdltGmxARBuYOpKSmxG0phi5EdMVKfL174+vZtkTKTcOfURNXZjgOMKbMYDhGGpON7Krf\n1amD/Jsozis2psyQVhpX2UH+bSU0bBji99No4soMxwHGlBkMx8i2mm0Anb6nDOxg/931u2lINLgt\nxdAFSFZWkti2rU1B/k1IIEBw5Eiiq4wpM3R9jCkzGI6Rpp6lrtJTBrC9dru7QgxdgiYD1dYg/ybC\nY8YQXb0aTaXSUp/BkKkYU2YwHCNNgfEDcga4KyQNDMo1MzAN6aNx5UoQITRmdFrqC40Zg9XQQLyk\nJC31GQyZijFlBsMxUlJTQq+sXp0yk39LBuTaxtLMwDSkg+iKlQQGD8abnZ2W+ppmcJoksoaujjFl\nBsMx0pQOoysQ9oXpldXLBPsb2oyqpi3Iv4nA4MFIJGKSyBq6PMaUGQzHgKra6TC6iCkDOzbO9JQZ\n2kpy1y5S5eWElBWXHwAAIABJREFUxqXPlInXS2iUCfY3dH2MKTMYjoGKaAV1ibouMfOyieJcOy2G\nyZxuaAuNK+whxnT2lIGdRDa6di2aSKS1XoMhkzCmzGA4BrrCQuQtKc4rpj5RT3ljudtSDJ2Y6KqV\niN9P8IQT0lpvaOwYNBYjtmFDWus1GDIJY8oMhmNgfzqMLtRT1jQD08SVGdpC44qVBEeOxBMIpLXe\n8Bgn2N8MYRq6MD63BRgMnZGS6hKC3iC9s3q7LSVtDMwbCNim7OReJ7usxuAG8e3bqZnzKhII4MmK\n4MnKItC3L+EJE1p1vqZSRFetIu/SS9OuzT9gAJ68PDvY/8or016/wZAJGFNmMBwDJTUlDMgdgEe6\nTmdz76zeBL3BLhvsLyLTgIcAL/CIqt7b4ngQ+BtwElABXKWqJSJSADwHnAz8RVW/0eyck4C/AGFg\nDnCTdtKgvJq5r7Hrhz/Eqqv7xLHu132VwltuQTwf/743LFtG5RNPIsEA3tw8EMFqaEhrkH8TIkJ4\n9GgaV5ueMkPXxZgyg+EY2FqzlWH5w9yWkVY84mFA7oAuOXwpIl7gd8A5QCmwWERmq+pHzYpdB1Sq\n6lARmQHcB1wFRIE7gDHO1pw/AP8PWIhtyqYBr7bne0k3VizG3vvuo/LJpwiNH0ffBx7A260bVn09\nVl0dlU8+yb5HHyOxYyd97r0HTyiEJpOU/98fKf/DH/BmZyPBIKmaGjQaBb+fyKT26WkNjRlDxWOP\nYcVieILBdrmGweAmxpQZDEdJwkpQWlvKOQPPcVtK2inOLWbdvnVuy2gPJgMbVXUzgIg8DVwCNDdl\nlwA/dp4/B/xWRERV64H3RWRo8wpFpDeQq6oLnNd/Ay6lE5myxO7dbL/hBmIfraH7V75C4bduRpxY\nMG9ODgBFd9yBv/8A9t5/P9t276boBz9gzz330PjBB+RdMp2iO+7YnyTWisUglcITaZ+EyqGxYyCZ\nJLZmTauHVA2GzoQxZQbDUVJaW0pSk10qyL+J4txi3tr2FolUAr/X77acdNIXaL6wZykw5VBlVDUp\nItVAAXCo6ah9nXqa19k3LWo7iL333098Swn9fv87cs4886BlRISCr1yLv08fdt52GyVXXIEnO5s+\nDzxA3kUXfqxse/deNaXZaFy5ypgyQ5fEmDKD4SjpiukwmijOKyalKbbXbWdw3mC35XQZROR64HqA\nAQMyY63U2OYt1Lw6l4KvXXdIQ9ac3PPOxV9USNWsWRT819cJ9Ot4/+nv1QtfYSGNK1Z0+LUNho7A\nmLLjlGh9HZuXLmL9wn8Tb2zk7K/dQPc+/dyW1SloirkamDvQXSHtQJPRLKku6WqmbAfQv9nrfs6+\ng5UpFREfkIcd8H+4Opv/pzlYnQCo6sPAwwCTJk3KiIkAFQ8/jASDdL/22lafE54wwfUeqtC4sTSu\n+NBVDQZDe2FM2XFE3b4KNn+wmI2L57N15YdYqSTZBT1IxeM8+YNbuOim2yiecJLbMjOerTVb6R7q\nTl4wz20paadpSLYLBvsvBoaJyCBs4zQD+EKLMrOBLwPzgcuBtw43k1JVd4lIjYhMxQ70/xLwm/YQ\nn27ipaVUv/QS+Vd/AV9BgdtyjorwuPHUzXuTVFUV3m7d3JZjMKSVtJiyNkw1LwbWAE2RxQtU9evp\n0HS8ULl7J6UfrSKvsBf5vfuQ3b0AESERj1FTtpeasr3s3rieTUsXsWeznQk7t2cREy+YzvApp9Fr\nyDBqK8p58ef/y/P3/oRPXfMVTrrwUkTE5XeWuWyp3tIlhy4BcgO5dA9173JpMZwYsW8Ar2G3U4+p\n6moR+SmwRFVnA48Cj4vIRmAftnEDQERKgFwgICKXAuc6Mzdv4EBKjFfpJEH+FX96BPF4KPjqV92W\nctSEx40DoHHlSrLPOMNlNQZDemmzKWvjVHOATapqIjaPgT2bN/LcXT8kWn8gr5AvGCQQCtNQXXWg\noAi9hw7n9BlfYvBJk+nRf+DHTFduz0Jm/PR+5v7+Qd59/FEqSrdz7n/9jzFmh6CkpoTP9P+M2zLa\njaY1MLsaqjoHO21F8313NnseBa44xLnFh9i/hE+mychoErt3U/388+R9/vP4e/VyW85RExozGkRo\n/HCFMWWGLkc6esqOeap5Gq593NJkyPzhMJ///k+INzZSuWsnlbt2EG9sJK9nIXmFReT2LCK/T18i\nuYcfaguEwlx88/f415N/YclLzzPy9E8zYMz4Dno3nYetNVvZF93H8PzhbktpN0YVjOLZdc9SF68j\nO5DtthxDmql47DHUsij4f19zW8ox4c3OJjh0CI0rTbC/oeuRDlPWlqnmAINEZBlQA/xQVd9Lg6Yu\nzZ7NG/nHXT8gGMniyjt/Rl6hfbc7cGzbOhzF4+G0K6/ho3+9xaJ/PmdM2UGYu2UuAGcNOMtlJe3H\necXn8fc1f+ft7W9z8ZCL3ZZjSCPJigqqnv0HeRdfTKBf553YExo3jro330JVTY++oUvh9hoxu4AB\nqnoi8G3gSRHJPVhBEbleRJaIyJKysrIOFZlJHDBk2Vx55z37DVm68AUCnHThpWxdsYw9mzemte6u\nwNySuUwsnEivrM437NNaxvUcR6+sXswtmeu2FEOaqXzyKTQWo+D6692W0ibCY8eRqqoisX37kQsb\nDJ2IdJiyo5lqTvOp5qoaU9UKAFVdCmwCDjoupKoPq+okVZ3Us2fPNMjufKhlMfcPv8IfCjs9ZEXt\ncp3x55xPIBxh8exZ7VJ/Z2VD5QY2Vm1k2qBpbktpVzziYVrxNP6z8z9Ux6rdlmNIE6pK9ezZRKZO\nITh4kNty2kR4vBPsv2Kly0oMhvSSDlO2f6q5iASwZyzNblGmaao5NJtqLiI9nYkCiMhgYBiwOQ2a\nuiTrFrxP+bYSPnX1V9rNkAEEI1mMP/cC1i/4N1W7d7XbdTobc0vm4hFPl1xeqSXTiqeRtJK8te0t\nt6UY0kTjsuUktm8nb/olbktpM8Fhw5BQyOQrM3Q52mzKVDUJNE01XwM82zTVXESmO8UeBQqcqebf\nBr7n7P8UsEJElmNPAPi6qu5rq6auiJVK8Z9nn6BH/4GMOKX9ZxxNPH86Hq+HJS8/3+7X6gyoKq+V\nvMbJvU6mR7iH23LanVEFo+if059Xt3SKDA+GVlA9+59IKETOOZ3/pkJ8PkKjRxP90AT7G7oWaYkp\nU9U5qjpcVYeo6t3Ovjud3D+oalRVr1DVoao6uWmmpqrOUtXRqjpBVSeq6kvp0NMV+ei9t6nctYNT\nr7oG8bR/KGB2fndGffosVr0zj/qqyna/XqazZt8attZsZVpx1x66bEJEmFY8jUW7F1HReLik9obO\ngMbj1Lw6l5yzzsKbneW2nLQQHjeO6Jo1aDzuthSDIW24HehvaAWpZIL5zz1F0eChDJ00tcOue/LF\nnyeVTPLBqy1Ho48/5pbMxSc+zh5wtttSOoxpg6aR0hTzts5zW4qhjdT9619Y1dXkXTL9yIU7CeHx\n49B4nOi69W5LMRjShjFlnYBVb79BTdkeTrvqix06/Tu/d1+GTz6V5a+9QqyhocOum2moKq9teY2p\nfabSLXT8LOsyrNswBucNNrMwuwDVs1/CW1BA1qmnui0lbYTHjgUwcWWGLoUxZRlOIh5jwayn6XPC\nKIrHT+zw60+a/nnijQ2sfueNDr92prCifAU763dy/qDz3ZbSoYgI0wZNY+mepext2Ou2HMMxkqqu\npu7tt8m98ALE13WWO/b16YO3Rw+iZgamoQthTFmGs+KNudRV7uP0q65xJUli76En0OeEUXzw6mws\nK9Xh188E5m6Zi9/j57P9P+u2lA5nWvE0FOX1ktfdlmI4RmrmvoYmEuRd3HWGLsG+aQiPG0fjChPs\nb+g6GFOWwSTjcRbPfo7+o8fRf/Q413ScdOElVO/dw6bFC13T4BYpK8VrJa9xRt8zyAnkuC2nwxmU\nN4gR3UcwZ8ucIxc2ZCTVL80mMHiwvWZkFyM8bizxLVtIVZt8eoaugTFlGcyqt9+gvqqSqZ+f4aqO\noSdPJbdnEUvnvOiqDjd4p/QdyhrLuGjIRW5LcY3pQ6azsnwlH1V8dOTChowiXrqDxiVLyZs+vUsu\nRxQe5ySRXbnKZSUGQ3owpixDSSWTLJr9HL2Hj6D/6LGuavF4vEw8/2J2rP2I3Zs2uKqlo3lqzVP0\nyup1XA5dNnHp0EsJ+8I8ueZJt6UYjpKal+0sQ7kXdc2bitC4ceD10rB0idtSDIa0YExZhrLmvbep\nLS9j6uevyog73DGfPZdAOMzSV46f3rINlRtYuHshM06Ygc/TdQKkj5acQA7Th0xnzpY5JmdZJ0JV\nqX7pZcKTTiLQr6/bctoFb3Y24TFjaFhw/IVWGLomxpRlIJaVYtE//0Fh8RAGTZjkthwAgpEIY888\nl/UL3qe2otxtOR3Ck2ufJOgNctmwy9yW4jpfGPEFElaCWRvMeqidhdjatcQ3bSKvi/aSNRGZOpXG\nlStJ1dW7LcVgaDPGlGUg6+e/T+WunUz5/JUZ0UvWxInTpqOWsuy1l92W0u5Ux6p5edPLXDT4ouMq\nN9mhGNxtMKf2OZVn1j5Dwkq4LcfQCqpffhl8PnLOO89tKe1K1tQpkEzS+MFSt6UYDG3GmLIMQy2L\nhS88S/e+/Rl28iluy/kYeYVFDJt8CivmvUpDTdee7fT8hueJpqLMHDHTbSkZw9Ujr2Zv417e3Pam\n21IMR0Ati5pX5pB9+un48vPdltOuhE88EfH7qTdDmIYugDFlGcampYso376VKZ+7skPWuDxapl4+\nk2Qsxut//A2q6racdiFpJXlq7VNMKprECd1PcFtOxnB639Ppn9PfBPx3AhqWLCG5e3eXDfBvjicU\nInziiTQsWOC2FIOhzWTer/5xTKyhgXf//ih5Rb0Yceqn3JZzUHoOKOaML1zLpiULWDGvay6/8+72\nd9lVv4urR17ttpSMwiMeZo6YybK9y1hdsdptOYbDUPPyK0gkQs6Zx8es4cjUKUTXrCFVVeW2FIOh\nTRhTliGoKm88/Buq9+xh2tdvxuP1ui3pkEw8fzoDx53IO397hIrS7W7LSTtPrn2S3lm9+Uz/z7gt\nJeMw6TEyH43HqXntNXLOOgtPJOK2nA4ha+pUUKV+8WK3pRgMbcKYsgxhxby5rJv/HqdddQ39Ro1x\nW85hEY+HaTd8C38wyCu/vp9kousEfi/evZhFuxcxc8TM4zoNxqHICeTwuaGfY87mOWyu2uy2HMNB\nqHv/fazqavIuutBtKR1GeMwYJBIxqTEMnR5jyjKAvSWbefuvD1M8fiKTL7ncbTmtIju/O+f9982U\nbd3C+0/91W05aSFpJbl30b30yepjAvwPw3+N/y/C/jD3LLqny8YVdmaqX3oJb34+Waee6raUDkMC\nASInnUT9QhNXZujcGFPmMrGGBl7+1b2Es3M4/xu3ZGRw/6EYctJkJpx3IUtfeZGNizt/Y/jc+udY\nX7meW0++lZAv5LacjKV7qDs3TriRBbsW8Nb2t9yWY2hGqq6eurfeJvf8aYjf77acDiVr6hTiGzeR\nLCtzW4rBcMx0HgfQBVHL4vX/e4iq3bu58KbbiOTmuS3pqPn0NddRNHgYr/7ul+zbucNtOcdMZbSS\n3yz7DVN6TeHsAWe7LSfjueqEqxjabSg/X/xzosmo23JahYhME5F1IrJRRL53kONBEXnGOb5QRIqb\nHbvd2b9ORM5rtr9ERFaKyHIRcX2tn9p5b6Cx2HEx67IlkSlTAahfuMhlJQbDsWNMmYvMn/UU6xf+\nmzOuvpZ+IzM7juxQ+AIBpn/7djw+H7N/cTfxaKPbko6J3y77LfWJer47+bsZlbA3U/F5fNw++XZ2\n1O3gL6v/4racIyIiXuB3wPnAKGCmiIxqUew6oFJVhwIPAvc5544CZgCjgWnA7536mvisqk5QVdeX\n36ie9Tz+/v0Jn3ii21I6nNDIEXhyc2kwQ5iGTowxZS6x9t/vMv+5pxj9mbOZdNHn3JbTJnJ7FnLR\nN29j345SXv+/X3e6OKM1FWv4x/p/MGPEDIblD3NbTqdhcu/JnDvwXB5d+Si76na5LedITAY2qupm\nVY0DTwOXtChzCdAUIPkccJbYDv0S4GlVjanqFmCjU19GEdu8mYbFi+l2xRXH5Y2FeL1EJp9sksga\nOjXGlLnAro3reO0PD9F3xGjO/tqNXaIBHThuAqfN+CLr5r/HB3P+6bacVmOpxb2L7qVbsBs3TLjB\nbTmdjlsn3QrA/Yvvz3Qz3hdonr+l1Nl30DKqmgSqgYIjnKvA6yKyVESubwfdrabqmWfB56Pb5zv3\nTV5byJoylcT27cRLO28oheH4xpiyDqa2opx//vwusvLzmX7L9/F1oWDcyZdcztCTT+Hdvz/G+gXv\nuy2nVTz0wUN8sPcDvnXSt8gN5Lotp9PRO7s3Xx//deZtm8efV//ZbTlucLqqTsQeFr1RRA6a9VlE\nrheRJSKypKwdAtGtWIzqF18k56yz8PXokfb6OwtZp9hxZXX/etdlJQbDsWESMXUgtfvKmfWzO0nE\nolz+w7s6ZWD/4RARzr/xW8y658e8/ND9XCTC8CmnuS3rkMxaP4vHVj3GlcOv5NKhl7otp9PylTFf\nYe2+tTy49EH6Zffj3OJz3ZZ0MHYA/Zu97ufsO1iZUhHxAXlAxeHOVdWmx70i8gL2sOa/Wl5cVR8G\nHgaYNGlS2rsUa19/nVR1NflXXZnuqjsVgSFDCI4YQdWz/yB/5swuMQrRnmjCIrpuH/Fd9ZC00ISF\nJpttKYWUIkEvoWHdCA3vjjc34LbsLo0xZR1E5e6dPHfXHTTW1vC52+6gR/+BbktqFwLhCJfd/mNm\n/exHvPyr+7jo5u9mpDFbsGsBdy24i9P6nMbtU243jXcb8IiHu06/i931u/n++9+nV1YvxvUc57as\nliwGhonIIGxDNQP4Qosys4EvA/OBy4G3VFVFZDbwpIj8EugDDAMWiUgW4FHVWuf5ucBPO+btfJzK\nZ57BP2AAkalT3bh8xiAi5M+Ywe4f/5johx8SnjDBbUkZh6YsohuraPywjMbVFWgsZR/wCeLzIH4P\n4vXYz30CXg+pHXEaP7R7eP29swiP70nOGf0Qr2k3040xZR1A2dYtPHf3HViWxZV3/oxeQ7p2MHkg\nHOGy7/8kY43ZpqpNfPvtb1OcV8wDn37AZO5PA0FvkIfOfIirX7ma/3nrf3jigifol9PPbVn7UdWk\niHwDeA3wAo+p6moR+SmwRFVnA48Cj4vIRmAftnHDKfcs8BGQBG5U1ZSIFAEvOIbeBzypqh2+IGxs\n40Yalyyl8NbOleewvci96CL23n8/lU8/Y0xZC1K1ccr/9hGJ7bVIyEt4TA8i43sSHJKHeA/93VFV\nErvqia6vJLp2HzVzS4htqqJg5gg8ka4TgpMJSIYH5x6USZMm6ZIlrqcEahU71n7EC/f/BH8wxOU/\nuIuCfv2PfFIXIdbQwPP3/IhdG9dx2pXXcPIll+HxuLum5+aqzdzw5g1Ek1GevPBJ+mT3cVVPV2Nz\n9WaumXMN3UPd+fWZv2Zw3uC01CsiSzMh5UQ6SHf7tftnP6PyqacZ9s7b+AoK0lZvZ2bXT35C9fMv\nMOzdd/B26+a2nIwgsbeB8r+sxqqN0+3SoUTG90R8x2bi6xfvpvLFjfi6BSn40ij8RVlpVtv1aG0b\nZm6r2olkIsH7Tz/OMz/5HuGcXGb85P7jypABBCN2j9nwKafx/tN/Y9bdd1C3r8I1Pa9ueZUZr8yg\nMdnI7876nTFk7cDgvMH89szfUhOrYebLM5m7pcM7jo4rrGiU6hf/Sc7ZZxlD1oz8q65CYzGqXnzR\nbSkZQWxzNXv/8CEaT9Hz+nFknVR0zIYMIOvkXvS8fhxWLMXe331I40futetdDWPK2oHdmzbwxO03\ns/CFZxh1xplcffeD5BUWuS3LFQLhCBfedBvnfv2b7Nywjr/e9j9sXNKxeYTiqTh3L7ib2/51GyO6\nj+DZi55ldI/RHarheGJi0USevfhZhuUP4zv/+g73LLyHRKrrLFqfSdTMnYtVU0P+VVe5LSWjCI0Y\nQXjCBKqefibTU7W0O42ryil7dCXebD+FN0wg0D8nLfUGB+ZS+I0T8fUMU/H3j2hcuy8t9R7vmOHL\nNFJbUc6Sl19g2dyXyMrrxjnX/w+DJ57stqyMYd/OUl5+6H7KSjYzYOwETr38C/Qd0TKpenpZsnsJ\nDyx5gNUVq/nyqC9z00k34feYGIiOIGEleHDpgzz+0eOM7D6Sb078Jqf1Oe2YJlWY4ctPopbFlksu\nQS1l8MsvmckqLaj+5z/Z+d3vMeAvfyYrAydAJONxyreVsHfrZhLRGIFw2N5CYSJ53cgp6EE4N69N\nn2uspJqyP60k0DebHteObpf4LyuWouzhFST3NtDz+nFpM31djda2YcaUpYE9Wzax9OUXWDf/PdRS\nRn/mLD59zXWEsrM7TINaisZTWNEkGk1hxVNo3ELjKTRp2SkuVVHL/rzFK+DxIF5B/B48WX68WX48\nWf42dWsfiWQiwbK5L7HkpedpqK5iwJjxnHLZTPqOHJ22HxVVZcGuBfxxxR9ZumcpBaECfjj1h5w9\n0Kxp6Qbzts7jvsX3sbt+N6MLRnP9uOv5bP/PHtXnbUzZJ6mZM4cd376FPr94gLwLL0yDsq6FFYux\n8VOfJjJ1Kv0e+pXbcgCINdSz4PlnKPnwAypKt6GWddjyXr+fnIIe9OhfTPH4iRSPn9jqUZfkvih7\nf7ccT9hHz/8ejzer/W5GU7Vx9v5+ORq3KPzv8fh6hNvtWp2VDjVlIjINeAh7VtMjqnpvi+NB4G/A\nSdh5f65S1RLn2O3Ya86lgG+q6mtHup7bpkxVKd++lc1LF7Hpg0XsWr8WfyjM2DPPZeL501v1n0bV\nNlGp2gRWvbM1JrEaklgNCXurT5CqT6KNSdtkxVK2yUpZ9kwZjyA+QS3QaNI2XmnAE/HhLQjjLwjh\n6xG2t54RfD3DeALpCdRPRKN8+MYcFjvmLK+oFydMPZ3hU0+ncNCQYzJoO+p28M72d5izeQ4ryldQ\nGC7kq2O/ymXDLiPkC6VFd2tRVZKxGI21NdRV1tBYV0+0rpF4Y5RYY5RUIommUlhqoanDN8wAtJhV\n1/KvIyKIx4PH60E8HvyBAMGsMMFImFBWhEi3bLLycglmZbky2SKRSjB702weWfkIpXWlDM4bzDkD\nz+Gz/T/LyIKReOTwNwLGlH0cTaXYPP0SEBj8z38iXncn0GQqe+67n32PP87Qt97EX1jomg5VZd38\n93jnr3+iobqageMmUDR4GIWDBlNYPIRQVjbxaAPxxkbijQ3UV1dRW15ObUUZteVl7NywltpyOyVF\nfu++DJ96GhPOu4js/O4HvZ4VTbL39x+Sqo1TeMN4/D0jBy1XWR/nP5sq2FxWRzSZIpqwiCVTxBIW\n8ZRFPGmRSFmE/F7G9s1jXL9ujO2XR3bwkzPWE2UNlP3hQyTso/C/x+PNNvnMmtNhpsxZmHc9cA72\n8iOLgZmq+lGzMjcA41T16yIyA/icql7lLPT7FHbCxT7APGC4qqYOd82ONmWxhgbKtm2hrGQze7Zs\nYtvKD6mtsP+DFA4awgmnnMG4s6cRysq2zVZjklRtnFRNnFRtHKvpec3H92niED/GHvBE/EjQgyUp\n4qkY8USURDxGPB4nlUyBCgKIgiokNUUylSBlpUhqEsXCIoUlFiqW3SPmA49f8AS8+Pw+fAE/vkAA\nfyBIKBAm6A0T8IYIEEQaPaSqEqSqYx8ze95uQXw9w/jyQ3jzg/ZjtyDevCDenMBR97IlYlHW/vtf\nrJv/HttWfYhaFnlFveg/aix9ThhJ3xNGkd+770FNWllDGR9VfMSHZR/ybum7rK9cD9jB5l8Y8QUu\nHXYpQW/wqPS0Bsuy2PvRWjbOX8aODRupLN9FMhnFslJYVgLVFJYVA1phtlxAPEE8vhAerx+PN4DX\nFyCYlUfhwMH0HzOSoZPGkJXXPqsbJK0kc7bMYdb6WSwvW46lFoXhQk7vdzqjuo9iRMEIhnUbRsT/\n8R8RY8o+TvVLL7PzO9+h768eJHfatDQp63rES0rYdP4FFFz3VQpvvdUVDVW7dzHv0d+zdcUyigYP\n5eyv3XjUaZFUlX07S9n64QdsXraErSuX4/F4GXnGZ5h04aX0GFB8oGxKKf/ramIbq+hx3RhCQz4+\n+3Tj3lpmfbCDf28sZ+WOaposgNcjhHwegn4vQZ+HgM9DwGs/VjcmKK1sBEAEJvTvxg8vHMlJAz9u\nCmNbayj700r8vSL0/OoYky6jGR1pyk4Bfqyq5zmvbwdQ1XualXnNKTPfyZS9G+gJfK952eblDnfN\ntjZqTb0YiViUeDRKrL6OxrpaorU1NNbW0lBRSV1ZBQ37qmisrCZWXYdfAvg8QSKRPHoUDaBn0UDy\n8gvxWj67l6suQcrp8SL1yb+peiHlt0h6ksQ1QTQVI5aI0ZiIE4sliSUsYkmIpXzECZL0ZpPyHWMX\nsFpwhJ6HI+FJxfElG/BZUbI9KbL9kOX3kRUIEfGFCHmC+OWT/+Esv4WGhf/P3nkG2E1da/tZkk6d\nXjzjce+4Y5rpEHAoAdNCDx0SSEhuSC5JCPemfeSmVxIIKXTTO6a3AKEa2+CKe/e4Ta+nSVrfD2ns\nsXH3lDNGjxE6altLR5p1Xu299tqSY2LmhrAKYoQL41g5UczcMEbMwohaSMTECJtI2ETCXrLC1sYG\nlk7/gKUzprFu8QJSzc0AWPEYoZJ8nLwQrTlKbaSVNZl11DoNOIaLGHBA4XAOLz+Uw3odRJ9IGZLJ\noP5EJoObSuOmUrjpNG46hZNMkkmlSKfSpJNpUok0yVSGVCpDKm2TyGRIZWzSjoOjYKuiooAi4hIx\nw4SNGFEzl4hVRIgIhhgYCAYGJgZWu7m3Hm8unqBGP1vjtffoZu2s/uSi/gQOioOL7Ul1bNwt/9Qh\nowlSdh16N8bGAAAgAElEQVQpN0HKacXGADOEWGGsSJRQbpxoTi6xggJyigvJKS4iVphHLC+HeH4e\n8YIcovEoZii027Wcdck63ql8h7fWvMWH6z+kKd0EgCD0z+tPRW4FFTne9M2DvhmIMh91HJZPPgMJ\nhRj8zNNBbrJdsO6mm2h86WWGvvIyoYqKLj336nmzefb3vwCUoy+8jAmnnN4hNdX1G9Yz88VnmffW\na9ipFMMnHsWka75BTmER9VOX0fz+OorOHU7OYb03H5NxXP7x9jJufWMJqnDwgCKOHlbKMcNLGds3\nn4i1c7tqmlPMqWxg9pp6Hp2+hvUNSc4/pB8//NJISnK3vPwmFtRQ88ACrJIopVePxSrs2laKbKUr\nRdl5wKmq+lV/+TLgcFX9Vrt95vn7rPWXlwGHAz8DPlTVB/z1dwEvqeoTOzvn6PIhOuWiX3hlt/tZ\na/sxEP+f91+7f9I2N/wfUMP7jIkhbdPuOThVJaNKRl0yrpJylZRCSiGphjd3IalKyvUyTm6/IBfT\nSWI4LRiaAJJgJpFIBiOuWAUWkeI4sdI8cstLKawoJze/gJBpYZkmlmlhGRamZWAaJqZhICJejZnj\n4DgOGdsmlU6TTKdJJdOkW1pINbeSaUmSbkmQaU2SaUljJ9LYrRmchIOdcHGT4GZM1AmjbgSVGK4R\nxzW9PzITiBkQN4SoATERov7niEDEECIC5m78SKsqrioOuvmzqi8f1MZVT1YozubeVOrLj7alrZHt\n/L/dM4Dhf94yb7v/goEpJoZYu/08eIpLEMN/7iwvIzb+3IvhE6/ZWfD223L1nvWq20zeOsVfbr9P\n22f/u2vbt21SF3BdL4bQ8WMJHfz1gApbJKGwux2xbTeDq44n7dT174s/V69+Vn2bN98l3Voyete6\n5dq3//+ttx7x18sDUebTMHUq635wE31vvZX8U7JySKusIlNZybJTv0T+5Mn0+dUvu+y8C997m5du\n/xNFFX348g9/Rn6vjm8+TTQ18snLz/PRs48TisY49aRvEPkEco/pS+HkLTkCF25o5HuPz2ZeZSOT\nx1fwszPHUJq7960ILSmbv/x7CXe9s4J42OTm00Zx0WH9N/8Gp5bXU33/pxhhk9KrxxLqHeQx211R\n1mNSmYvItcC1AKPLhmBJaBtHvmVp84+CKiBb/Ui0/UBs+Qyq4v1OqaAYuIonENTFUQfbdbDx52qT\ncW0yOCCKiCKGi2EoYioYIIYiIRALQiEhEjGx4hah3AjhnAixwlzivYopKC+loKQXBfFCYlasx/Se\nSqVT1Dc20lRTS3NtLS11TaSaWki1JGhpTmEnMzgpBzft4mRcNCWIYyCuRcgRQhhYmJhiYImJJSYm\ngiEGpi+S28STIYKBIFgYEvJql8QFFNlcJ9Q2efdW2CLY8NfK5rqjNiHn4t11F8HBwAYyCDaGpDEl\nQdhoJWy0YJJAJI1LhjSQRGg0TBojcZpzCkkVlkMsH7HCGGbYm4fjWNEcjGgeoVguVjjuNRWHwoRM\nA9Pwm5/Fjwfbyfe9q9cm9VWOKrj+8207SsZ2sDMpnHQSO50gk2jGTjbjJJtxMwnUTvlTGqO5nmjj\nJvISjRQkEuSkIeyC5Vq4bgRXI6TdHFzNISMxbKK4WCgWKt7kPfy+wBNjs/jFv5ceslkLbvVCte03\nIDvc8rlGbZvq2/9GZORI8k7azzuuuC6s/A/MfwYa1kLzRmipgpZqCMUhVuhPxVA+BvpPhH4TIX/r\n2rBQ374UXXoptffeS/GVVxI9YESnmz7zhWd46/476TtyDGd//8ed1ukrlpfPUed/hQOOPJZ3b78b\na6ZNU7SZ4mO9Yc5UlbveXcFvXl5IQSzEHZcczJfG7XttYU7E4uYvjeK8g/vx42fncfNTc5m9pp5b\nzhpL2DKIDCmk7OsHUnX3PDb9fTall48mMiRI4rs7fH6aL10HnAw4adRJ46RasdNJMqlW7GQzmdZG\nnGQDTqIZp7UWbamB1lrMZA3h1o3kJNaTa2+dh6VSS1js9mO2DuVddxwNReMZ0aeYgwYUMmlUOYNL\nP39vB2vrWpm5qo756xrZuHoxBRunMTLzKaON1YyQtcQltXnfpMSoj/QhEa/AiZXixkuR3DKs3BKs\neBGhWD6hnALC8XxCkRhmKIIViiBWGAwLxATD9IXAbuC6oA7q2jh2BjuTxrHTZFIpnEyKdCqBnUpg\np1uxUy3es5DyRAypJjTZiKQaMdKNRBMbKUxVUuxUY+xBDwtHhTQhHAxcBEVw9zFdoPii03ul8CYT\nh4jssH52u6SxqLYqaIr1IR0rw40UQCQPieZjRPIwo3mY0VxC0VysaA6haA6hcAwrGscKRwmFo1ih\nCIYV/kzHhH0liCnzqH/yKdb/7//S77a/kvfF/VSUNayFTx6EWQ9A/WqI5EPxEMgth9xeEC+BTBIS\ndZCs94TaxvngpL3jCwbAQZfC4dd5og1w6utZevIpxA6awIB//KPTTFdV3nnoXqZPfZLhhx/Fad/6\nHla48wPeneY0m/76CalEKy8s/ydWfoTJ3/khdy5yuOe9lZwyppxffXk8xTkdb4vrKn98bTG3vbmU\nI4YUc8clh1Dkn8euT1J99zzsqgSx0SXkHtePyMDOiVfNdrqy+dLCC/SfhDfQ73TgK6o6v90+3wTG\ntQv0/7KqXiAiY4CH2BLo/wYwPNsC/TeTSUJjJVQvgU2fYm+Yj7NhPuGaRQguCYkzwxjD04lDeN49\nkn6lhZwwsozTxlVw8IDCHlMTtidsbEzyzpJqPlxew8fL1jGscRpfND7mSHMB/WUTACkrn9aSMRi9\nx5Iz4ECs3qOhaDDEinZfUGUrdhoa1+Ikm7HTSZxMCjuTwk61+DVTLTipJtxMEs2kwa+dQtvaEvFe\nGPaVzeJUvHhCw0KsiD+FMUIxrFgeVjTXr7mLEQpHMcJRrFAYiRVBbu8OF1MdRSDKILViBSvPO5/I\n8OEMfPih/c+fJOrhrV/BR//y/j4GHw8HXw4jJ0NoF3FJdgrWz4G1H8Gyf8PS1z0xN/FaOOJ6yCmh\n5s472fT7PzDgvvvIOXxih5uvqrz78H189OwTHHjSaZx49XVd0tNZHZeqO+eRXtNE2TcOpC61gWf/\n+Esaa2p4s+gYDj/1NH40eTSG0bnPy9OfrOWmJ+bSpzDKnVccxrAyr3bQbc3Q9J9KmqetRxM24QF5\n5B3Xj+iYkv3vGd4JXZ0S4zTgz2wZ6PcX7Qf6FZEoMAU4CH+gX1Vd7h/7v8DVeGFX31HVl3Z1vu5O\nifEZEnWw4j+w7E1Y9gbUr6Y1XMpLsdP5bfXRbHRyGd+vgKuOHsTp4/oQ7sQ8YJ2N4yqfrK7jzUWb\neHNhFcvWV3OCMYtzwh9xvHxMVJPYkQKMQcdiDDkOBh0DvUZl7Y99QM/g8y7K3NZWVl54EXZVFYOf\nepJQn/1oiDDXhTmPwGs/8ZomD70Kjvo2FA/e+zLXz4F3fg+fTvWaOo/5Lu4h17Js8tlYpaUMeuzR\nDu8g8eGTj/DeYw9w4ElfYtI113eZ4Ngc2H/BCHIOLqcxmeH6u96lePpjDEysYcwXTuKL13yjS2rs\nZq6q47opM0hmXH48eRQXHLolzsxNO7TO3EjTu5U4NUkiwwspOmc4VvHnoyNAkDy2u1CF5W/CB3+D\npa+hZoSFfc/le7VnML9a6ZUX4ZpjBnPV0YN22dslW1BV5qxt4NlZ63h+zjo2NaUYZa7hvwre58T0\nm0TtRjReioyaDKPP9oSYGXSFDug4Ps+iTFVZ9/0f0PjCC/S/81/kHn10J1rXxWyYBy/cCGs+hH6H\nwWm/hz4TOq78TQvhzV/AgqlQMpz6yHms/+N99P75LRSdf36HnWbGc0/x9gN3M/q4Ezn1G9/psh6x\nTe9W0vD88s2B/TXNKS6/+yMWbWjid+eOo2zZ23z45COUDxnGmf/9P53S2WBb1ta1cuNjs5m2opbj\nR/Ti1+eOo6JgSyYBdZWWaetpeGklqJJ/8kByj+rrdYbajwlEWTZQtQg+uA0+noLm92XeQT/jdysG\n8p/FVQwqifPTM8ZwwsjuS2i4M2zH5ePV9byxcCOvzNvAyppWck2bG/vM5Wz7FYrq5oAZhlFnePEb\ng44Ds8f0GwnoYXyeRVntAw+y8f/+j17fuYHSr3+9Ey3rQlLNXlPlh3d4cV8n3QIHfqXzatSXvA4v\n3ojWrGT1jFG0rm5h4D13Ez9s34fBm/XKC7xx9x2MOOIYTv/29zG6KJFvYl41NQ8uIDq6hJJLRrGx\nKcWld01jTW0r/7jsEL5wgPfbsnTGNF667Q8YlsXkb/+AgeM7UPTuANdVpny4il+/tBDLFH74pZGc\nPaEvOe2Sztr1KeqfWUpyYS2hfrkUX3AAobLtJ7ndHwhEWTax5iOY+l9QtRDGnsf7I77Pj17dwPLq\nFiaNLOMnZ4xmYEn3dwpIZhzeXLiJl+dv4K1FVTQkMoRM4UsDlK/nvMXIyicxEjXQayQcciWMvxDi\n288oHRDQkXxeRVnrx5+w6ooryD36aPr97faen5Ms2eiFeLzyv1587iFXwqSfdo0fySTgnT/g/PtW\nVr5Wgu3EGfTYk0SG7H0z6ccvPsub9/2LIQcfxpk3/g+m1TUtBKnVjVT9cy7hPjmUfnUclc0pLrlz\nGjXNKe668jCOGFKy1f616yqZ+odfUFu5lqMvuoyJZ53XJc2rq2pa+P4Tc/hoRS3RkMEJB5Rx+vgK\nThxZRjxsoaok5lZT/+xSNO1ScNpgco6o2C9jzQJRlm3YKXjnj/DOHyC3jMxFj3L3kjh/eWMJrsLP\nzhy9Vft7V5FxXN5eVMVzc9bx+qcbaUk7lOSEOWV4LhfmzWVM7atYy//tBaUfcJrXo2nwcT0/QD+g\nR/F5FGWJufNYfc01mIWFDH78McyCgi6wrgNpXA+LX/bibetWQN0qSPg92MvHwuQ/eWkstqG6OcXs\nNfXMWdvAnLX1LNzQRCLj4DiK7Xo5DPNjIUpywhTnhCnJjTC4NIcR5bkcUJ7HoNIcQuZOxOvG+aTv\nuYaVD9di5OQy6MlnsSr67/HlTXv6Md595H6GHXYkp9/wA6xQ1wgyuzrBpjtmIVFvOKOViTSX/Gsa\niYzDfVdPZEL/7aeeSCcTvPr3v7Dog3cYeujhnPL1G4jldX5PSNdVPlpZy4tz1/PSvA1UNaXICZtc\ncsRAvnrMYMryoziNaWqfWExqcR3RkcUUnTscM2//GqYpEGXZyvrZ8NCFkG6BCx9gfclEbnxsNu8v\nq+G0cb351TnjKeiCoSlcV3luzjr++NpiVtW0UhgP8aWxvbm4Yj1j1zyMsfhlsBOQ3w/GnecF3xYN\n6nS7AgK2x+dNlCXmzmX11ddg5ucz8P77CPXt20XW7SObFsKnz8Cil2D9LG9dfl/odYDnPwoHQulw\nGH7KVuEOtS1pXpi7nqmzKpm+sg4AQ2B4WR6j++STF7UwDSFkGgjQkMhQ05KmtiVNVVOKtXWtuP5P\nWdg0OGJoCaeO6c1Jo8vplbedJKl2isQ9N7Lqz68TLTUYcMu1GIOPhIoDd9nTU1V579EHmPb0o4w6\n5gucev13u6zJMl3ZTM3989GMS69vHMjsliRfu38GpiFMueZwRlXsXGSpKh+/OJX/PHgP8fx8Tr3+\nv7ukObMNx1Wmr6zloWmreX7OOizT4IJD+3HdcUPpVxij5YN11L+0AiNiUXTOMGJjS7vMts4mEGXZ\nTMNaeOA8qFkKZ92OO+4C/vnOcn7/yiJ65UX4wwUHctTQznkYVZW3FlXx21cWsWB9IyN75/Hdk0Zw\nYuFGQm/9Apa84iVjHHOOJ8b6HxH0nAzodj5PoiwxZw6rr/kqZkEBA++7N/sFWd0qmPekN22cB4hX\nAzbiFBjxJSgbtd2a9Yzj8saCjTw+Yy1vL67CdpXhZbmceWAfDh9Swpg++VvFIO2MZMZhWVUzizc2\nMa+ykdcXbGRVTSsicNjAYs46qA+Tx/ehILb1C2/jA3+h8v/uIKc8Rd9jajEjFvQe67UKHHgxFG5d\ng+Y6Dm9NuZNPXnqOcZNO4Ytfvb5L0l4AtM6uou6JxRjxECVXjOaVqkZufHw2/Qpj3HPVYXsUArNx\nxTJe/MvvqF23lkPP+DJHX3hZl9X0tbGqpoW/v72cJ2euxVXlgsP6c8Ok4RQnHGofXURmXQvxCb0o\nPHPofjGGZiDKsp1EPTx6Kax8xwtyPfoG5qyt54ZHZrGiuoULDu3H/5w2isJ4x1ThqirvLKnm1jeW\nMHNVHQOK49x48gjOGOhivP4TmP8URAvhmO94uX3C3R/jFhDQxudFlLV+/DFrrvu6J8juvy97U184\nGVj4Asy4G1a87a3rN9F7kRt9NuSVb/cw11WWVzfz+Iy1PPnxWqqb05TnRzh7Ql/OmtCXURV5HRLC\noaos2tjES3M38OLc9SzZ1EzYMjhlTG/OO6QfxwwrxfTzdtU//Qzrf/S/RAf3of81h2DVfuL1BkVg\nyPEw4VIYfSZNjU28cOvvqFw4n0NOP4vjL/tql4SbqKs0vraKpjfXEB6YT/ElI/nnx2v47cuLmDio\nmH9ctiVZ656QSSV5e8pdzH7tJUoHDGLSNd+g38gxnXAFO2dDQ5K/vbWUhz9ajSHClUcN4uvHDsac\ntpHGf6/ByAlR9OVhxEaV7LqwLCYQZT0BOwXPfMN7w/zSb+Hw60ikHW59Ywn/emc5hbEQP5o8irMn\n9N3hH7+qN7zOjhIDqir/WVLNra8v5uPV9fQpiHL9CcO44ND+hOuWwP1nQ7IBjrwejvzW5gzYAQHZ\nxP4uytxEgqq//JXa++4j1K8fA++9JzsFWe0K+OQB+GSKN+xRwQAvwev487cKb0jbLvPXNTBzVR3z\nKhtYV59kXUOCjY1JMo5iGcKJI8u4aGJ/jhveC2tnMWD7iKoyr7KRJ2au4dnZ66hvzdC/OMZlRwzk\nwkMHUBAP0fTmm1R+57uEKioYcNedhOIZmPUwzHoIGlazwhnKS2sGYbvCF7/2LUYfe0Kn2dseuzpB\n3dRlpBbXET+0nOQJffnVq4t5bvY6zprQh9+eN36fUystmzmNN+76O001VYw+9gSOu/RqcgqLOugK\ndp81ta386bXFPD2rktywxVXHDObKoWVkpi4js6GV6OgSCk8fjFUS23VhWUggynoKjg2PXwELn4ez\n/w4TLgZgwfpGbn5qLrPW1DOqIp8jhhRz8IAiDh5YRMgQ3ltWzTtLqnlvaTUNiQzj+xZy0MBCDupf\nRGE8xKw19Xyyuo6PV9dT1ZSib2GM608YynmH9PP+iCs/hgfO9YYruuxpr8o+ICBL2Z9FWcu0j1j/\n4x+TWb2awgsvpOx7N2Lm5XWjhduQbvGSsM560KvZF8OLCTv0ahg2CRWDyvoEs9bUM2t1PbPW1DOn\nsoG07Y1YUVEQpX9xnIqCKBUFMfoVxTh5TDlleV2fNDRlO7z26Ubuf38VH630egSec1BfDhtUTL/K\nJeTdchNmLEb/228jNm4cTdVVzHzor8x872NKIy1MHraRkknXwSFXQbTzguTdlEPTm2toemctYhpE\nvtife1tbuPO9FbgufOvEYfzXicM6rKYuk0wy7ZnHmPHcU5ihEEd8+SIOPPk0wtGuF0CLNjTxp9cW\n8/L8DeRFLb521CAulgjpdypRR8k7th95J/THiPSMPJ9tBKKsJ2Gn4KELvF5KF9zv5f7CC4p8ZPpq\nnv1kHXMq60lm3K0OK4qHOGpYKb1yI8xaU8/8dQ1knC33c1BJnIMHFHHUsFLOPLDdSAIr3oGHL/K6\noV/2DJQM7bJLDQjYG/ZHUZZasYLqO+6gcepzhAYMoOLnP++U4X/2GFWoWeYlwV7+Fix/G9JN3tBo\nB12Cjr+I5Zki3l9Ww4fLapi2opbqZm9M27BlMKZPPocMKOKQgd5LZHl+dmZs/3RdI/d/sJJnZlVu\n9q0DG9dzywd34oYyLBg2jITbCqqMm3QKJ5wwjtAHf/a+l1COVzt4yFUdmuzWTTskZlfR+NoqnMY0\nxrgSXu8V4tZpK6lpSXPWhD587+QD6F/cOfm86tZX8uZ9/2LFJzOI5uZx0KmTmXDKZOL5Xd/zd/66\nBm59fQmvfrqRvKjFVeP7cn6LIPNrMfLC5B3Xj5yJvXuMOAtEWU8j1QxTzvZ6Z37lURh64labM47L\nwvVNfLy6jpTtcNTQUkZX5G/VbJnMOMxf10hjMsOB/Qq3P/jswhfg8au8IUwuexrys7CJJCBgG/Yn\nUXbIuHE69ZRTaXzxRSQcpviySym9/nqMWDc1y6h64/mufh9WfQAr34XGtd62gv64Q05keZ/J/Cc5\njJlr6pmxspaNjZ4IqyiIcsSQEg4eUMiB/QsZ2Tt/l8PIqSrJ5iaaaqppqqmipa4OO5PGsW1c28Z1\nHcLROJGcHCI5OUTjOeQUFZNXXEoo2vECL5lxWLF2E4s/+Zj182fRsmweJJoIZ2xKGtO8XHE8K8Yd\ny8mjvd6ch4ZWYM28xws7sRPQ5yA44HRPnFVM8AZN3wNUlUxlMy3TN9A6qwpNObQWhXkwDx5YW4Pj\nKkcMKeZ/ThvF+H5dE16ybvFCPnr2CZbN+BArEmHM8V9k7PGTKB86vMvTNs2rbOCOt5fx8rwNqCpX\nDerFV5ImkfWtSMwi98gKco/qg5mb3Sk0AlHWE0nUwb2TvV6ZF9zv9V7qSKb9A166CfoeDJc8ESR+\nDegx7E+ibGwspk+MGk3xVy6m+KqrsEq6OIDZsWHjXE+ArX4fVn8ILVUA2LFSqksOYWHsYN53x/JB\nXQFLqpo31yT1LYxxyMAijhhSwlFDSxhYEt/hj3QmnaJ69UqqV6+ibn0ldevXUb9xPfUb12OnUntl\neiSeQ25xCTlFxeQUFnlTQSHR3Dwi8RzC8TiRWBwxzc12iQiu4+DYGZxMBjuToammioaNG6jftJG6\n9ZVUrVoBqkRzchkwbgIHHHUsvY0IlT/5GaxYxobygbxcNo63eo8j3as3Rwwp4YgKixPS/6bfiicw\nNs3bYmR+X+g9DspG+9MoLw2ItSU1h7pKek0TyQU1tMyvwa1KYBswKy48kGhhhmPTOz/KOQf35csH\n9WV4efc0Z9esXc1Hzz7Bog/ewclkKOrTj9HHfIEDjjqWwt59ulSgratPMOXDVTw0bTUNiQxfyItz\nXSRO/+o0WAaxUcXEJ5QRPaAIycLxpQNR1lNpqYEHz4UNc70Ys/EdMD6b68JrP/aGfDrgdDj3Tgjv\nv8NZBOx/7E+ibEL//jpjzhysoi4Kpm7aCJUzYO0MqJyBVs5E0i0A1EX6sCA0hvfSI3i1cRBrnSJC\nro2hDuW5IQYWRRhYGOWA8lxGlOdQnBNGHYdUayup1haSzc2kE63Y6RR2JoOTSZNsbqZ6zSpqK9ei\n6ok507IoKOtNYUUfCssryC8tI6+0lLySUnKLSrAiEUzLwrQsRAzSyQSplhaSLc0km5toqa+jqaaa\n5toammuraamv2zw5mcxefS2GaZLfq4zC8goqho9k0IEH03vY8K1SXGgmQ92jj9EwdSrJOXMA2NRn\nCNPKhvNRrDcLS/qRikUYmJdmVGgNw2U1/XQVve1KSjLrCKmDAKaGsa3DUPNgxB2B0dQbyw7hoMzC\n4U0y/JsMg/oVMHFQMV84oIwjh5Zs7iHa3SRbmln84XssePdN1n7qCdC80l70Hz2O/qPH0XfUGArL\nuyYTfyLt8OLc9Tw7ex3vLa2mnytcHcvh6IxB1FYkZhIf24vIsALCgwqwCraTp64bCERZTybZCI98\nxWtGOO13MPFrO943kwQ7ueNek5kEPHWtNyDvxOvg1F9BF+XVCQjoKDpClInIqcCtgAncqaq/3mZ7\nBLgfOASoAS5U1ZX+tpuBawAH+LaqvrI7ZW6PTvNfyQYvFqx6Cc6GuaQr52JvWEC6qZFmO0J9JsZq\nu4zVqSJqnBwSdoiQkyGuSSwng7D3vwWGaWGFQ5ihMOFolKJ+/Yn1LkPz80lGo7QiNLUkaW1O4rTY\nOCkXMi5kAEdx1MHGJo2NLRkSVoKWUCupUBI3nMGNZpCIAzEXKyqEzbA3SYiwYxJKC6atWGkwMgqO\niwKqLqqKayiugGuCayjpmJCOC6545047aZJO0pvbSTJuZvNkuzaO61BcZ3PYApsjF7oM2QCG/3Wt\nLYFVZcL6YqgqCpMqKCIWKadU+tDPrmBAqoLBqT6E1Mu1VWs2MCdnMTNzZrMwPh/XaCWGRZ4VJTcU\nJzeUS04kn/xIIXnRYnLjpeTFy8jPLScvVkxeKI/ccC4xK0Y8FCdkdG0Or8aqTSz7+CPWzp/Lmk/n\nkmhqBCCSk0PZoKGUDxlGr4GDKaroQ1HvvkRzczvNlurmlDdSwNwNzFpZx4GuwSkS4lhCRP374+SF\niA4qIN4vF6t3DqHeOZj54S5vhg1EWU8nk4QnroJFL8LhX/e6nZeN3pKEsbUWpt8F0/7uNXuOOAUO\nugyGn+xlyt44Hz6eAnMe9baf8gs44vpgeKSAHsm+ijIRMYHFwEnAWmA6cLGqftpun+uB8ar6dRG5\nCDhHVS8UkdHAw8BEoA/wOjDCP2ynZW6PPfZfdsr7G07UYTdX01S1job1K2ipWkuqbhN2YzVOcz3p\ntNKcidFkR2i0w7TYIXANLCOMJSHMtrkVxwzlYJkxLDOGYUQQCSGYGP4cERQDwfMXKoKim2WbSAhD\nLAQLQy0QEF/WGSrE3RARMQkLhA0hJBASsLzvebcv3VXFVshsnpQ0SkockkaGpJmmxUyQMFO0Wgla\nzVaarVbSVoqMmSFtpUlbaWzLxrZsHNPBMW1M00AMwRBvHjEi3iQRwkaYuMYIOxGiTpiwGyLihog4\nISKORdixiCWF3BqbWKNLJAEhjWJZORihreMC7VQTmVQdiUwdrZlamtxaWo0kaoFrOqQlQ4oMacMm\nhUPKcEkKpEyDpGGQMdruhQliIGoAJoLh3S81MTAIEcLCwpKQd48lhCFhTKPts4khxua5iIFpmRim\ngVRgml0AACAASURBVGGYmJaJaXpzK2T5n63Ny5YV8kW3RTgcJhQJE4lFCYcsWus3UFu5lPqNq6it\nXEFt5Woce0vtZSwvn8LyCq/JuaiYXL/pOZaXTzQvj1huPtHcXCLxHMxQaK/FUiLtMGNVLe8trWH6\n8mrs9a0Mt4XxmIzBpJwtTZppS0jGLTQ/hFEQJVocJVoUIbcoRqQggpkbwohZYBkdJt5214ftXrrk\ngK4nFIULpsAL/+3Fgk37OxQPgVFneokbZ94LmRYYdhKUjYQ5j3kCLrc35FfAuk/ACMHI071ksIOO\n7u4rCgjoTiYCS1V1OYCIPAKcBbQXUGcBP/M/PwHcJp5HPgt4RFVTwAoRWeqXx26U+Rnq12zg6e/+\nBhREQfDnKu3WiS+JBENl87I3GZhSgCElmGJiGiHCYpEbCdErFsaSMJYRwhILQ7o+tkZR0oZihxQ3\nYmDGQ1jxMJHcGOG8CFZOCDNiYoRNL/bH9K4bVdRRcBUnaZNpzmC32litGaxWm0hrBk06kHIQ28Vw\nwhiaA3YR2MBuhqmpbhGX7askDPZMMNqqpFxIW0qjCwlXSSYcEq7S4kKTq9gaBSrArPDqUneE6z0H\nURei4NUg7iXiOgguoi6oNxfU69ABvrgWHBHA8AS3mJvnbPXMOP60qy+3ABgPjMfKdTDdetSpQ51a\n0qlaNq5oQJdvQt0WIL0z670XBDERTG8uBmJ4MYIiBoY/F0O8+yXe3DC8+1cuwhkiIOACScdlmiqG\nhsmVfHLNQvLMAnJacsipiRMzcwgZYRygYRtrHHXIaIaMprGxcdTGxsFRGxcHFxcHB8XFxfW/223n\n3ufdJRBl2YxpwZl/gRN/5PWaXDDViwtThbHnwtE3bMkvNumnsORVr3aseQOc8isYfyHk9OwsyAEB\nHURfYE275bXA4TvaR1VtEWkASvz1H25zbNvYR7sqEwARuRa4FmBc7wM4LHLUbhvuqufwXW1z7y7e\nT4JiG17TXMaEpAWuBRpyIZKBiI0ZtbDiISI5EaJ5EWI5cWLxONFonFAkjIQMxDQQU7zBJg3xKtP9\nH7XNtIkmX8WIIWCKN2+Le5I9EzUdgdoubsJGUw5uysFuSZNuymAnbJyUs3lybRfNtM1dNmsUVdT1\nbTe861EDDMvwakn8ScMmhAw0ZOBaBkRM1BAMIKoQFSgSQXxhIP736AkJ/3sR/zxsWRYBtW3UtsHO\noBlvjttOVDkOhrj+LfHmhtEmQsAwBXFtTLsZSTUiqXpINUGq0QuFSTWhqSZItUC6GU23YKdayGRS\npDNJ0naKjKs4KmQQMq5BRk1cNbDVxMHEcS0cNXGxcNRC1cLREI6GUA3jumGUMKoRXI0AYZQQSggI\noZTjqVIDF3wJ46LibJY2Km7bU43ieJM6uOqgrrcedXyBY+PdOAf2QPC0ABu3sz4kYSJmDlEzvnke\nMiKEjejmuWl4tZAhI0RMYphiYoiF6U9tNZH7SiDKegK5Zd6A4Ide5TVjOPZnu12bfq3YyNO7x8aA\ngIAdoqr/BP4JMG7sWHW/2g/TbyayQm3NRxaGYWCZFqFQyBvkuq02IGC7iGVg5oXB75wYBoIuTHuI\nKjhpLzY5k/TSfDiZLdvaMC0v2bhhQVuNmrQpTflsmd6Hz5bTfv1W+6sntDZ/9pZd18HOpHGdDLad\n9nrROhmcdAbHdsikM9hpL6VKJt3Wy9bGdRXXdXFtF9dxAMV1FfXXt4lyd/O5vFpETzX6MYmAq2kS\nbmob67e233F1s+mKgKugfu9fFXT3dWMgynocsa4f/iIgYD+gEmg/unQ/f9329lkrIhZem0zNLo7d\nVZmfIRKNMmDY4D0yPiCg0xDx0nVYEYh2fZLYXWHgie0ez00/2K3dsi+ZR0BAQEDHMx0YLiKDRSQM\nXARM3WafqcAV/ufzgH+r1xNqKnCRiEREZDAwHPhoN8sMCAgI2G2CmrKAgID9Hj9G7FvAK3jBLXer\n6nwRuQWYoapTgbuAKX4gfy2eyMLf7zG8AH4b+KaqOgDbK7Orry0gIGD/IRBlAQEBnwtU9UXgxW3W\n/aTd5ySw3WzNqvoL4Be7U2ZAQEDA3tIj85SJSBOwqLvt2AmlQHV3G7ETAvv2nWy3cX+zb6Cq7tmg\ngllK4L86hGy3MbBv38h2+6CTfFhPrSlblM1DrojIjMC+vSfb7YPstzGwL6sJ/Nc+ku02BvbtG9lu\nH3SejUGgf0BAQEBAQEBAFhCIsoCAgICAgICALKCnirJ/drcBuyCwb9/Idvsg+20M7Mtesv3as90+\nyH4bA/v2jWy3DzrJxh4Z6B8QEBAQEBAQsL/RU2vKAgICAgICAgL2K3qUKBORU0VkkYgsFZEfdrc9\nACJyt4hsEpF57dYVi8hrIrLEn3fb2Egi0l9E3hSRT0VkvojckE02ikhURD4Skdm+ff/PXz9YRKb5\n9/pRP2N6tyEipoh8IiLPZ5t9IrJSROaKyCwRmeGvy4r7287GQhF5QkQWisgCETky22zsCrLNhwX+\na5/tC/xXx9iX1T6sK/1XjxFlImICtwNfAkYDF4vI6O61CoB7gVO3WfdD4A1VHQ684S93FzZwo6qO\nBo4Avul/b9liYwo4UVUPBCYAp4rIEcBfgYnASKAOuKab7GvjBmBBu+XfAH9S1WFkh30nqOqEdl20\ns+X+tnEr8LKqjgQOxPsus83GTiVLfdi9BP5rX9iR/8o2/5Dt/guy24d1nf9S1R4xAUcCr7Rbvhm4\nubvt8m0ZBMxrt7wIqPA/V+DlJep2O317ngVOykYbgTjwMXA43jA3ipdLb6t7v4syhgNJ4IFt1n8F\nWAW0AM8AxXtgVz//j+5E4HlA8JIGWtt7Nrvhe1sJlG6zLmvuL97A3ivwY1iz0cYu+h6y0ocF/qvD\nbGvvv7LJP2S1//JtyFof1tX+q8fUlAF9gTXtltf667KRclVd73/eAJR3pzFtiMgg4CBgGllko1+1\nPgvYBLwGLAMa2+2yJ/f6dryBotuXPwb4B3AZ3nW2An/bAxP/DPwAcP3lEqBeVe29sK8zUOBVEZkp\nItf667Lm/gKDgSrgHr8J5U4RySG7bOwKeooPy8r70sP81x77BxHprGTu2e6/ILt9WJf6r54kynok\n6snobu/iKiK5wJPAd1S1veDpdBv9uJCnRKRKRGpE5DZ/vSEiPwKWA32A5/De2kbu5XkuAurx3grb\ncwnwnKr+R1WbgR8DXxaRvN0oczKwSVVn7o1NXcQxqnowXrPYN0XkuPYbs+AZtICDgTtU9SC82sqt\nqvqzwMaA7ZAt96Wd/3oLr+mowI/Nm+TbGBOR/2u3/xdEZG275ZUi8n0RmSMiLSJyl4iUi8hLItIk\nIq/vLCZIRL7mx1/VishUEenjr78D+I2qTsCrkZoIPA0U+tv74L0QjhSRFSLy7XZl/syPU3pARBqB\nK7dz3piI/EFEVolIg4i8KyIxf9uZfhxbvYi8JSKjtnO9K4CzgOuBIt++lUCfdtfbDxgjIteKyDoR\nWS8i39ud+9KBZLMP61L/1ZNEWSXQv91yP39dNrJRRCoA/Pmm7jRGREJ4Du1BVX3KX90lNvpxNM/j\nNR0Ownsje8TffKU/nQAMASJAPp4wy29XTD8g3BakuoPz5AO3AP+9nc1jgNltC6q6DEgDI3bjEo4G\nzhSRlb7dJ+LFFxS2e7Pt1mdRVSv9+Sa8H4SJZNczuBZYq6rT/OUn8JxcNtnYFfQUH5ZV96Wd/3oV\nz1ccBiwGLgVW+jYmd6Ooc/GaPkcAZwAvAf8D9ML7Lfz29g4SkROBXwEX4DVTrWKLD3sYuFBERFXr\ngQ/wYt8M3+7n8J7/fwOTgO+IyCntij8L7++hEHhwO6f/PXAIcBRQjF/jJSIj/HN/x7f/ReA52Tpg\n/1xgKl4tz5XAY0Ceb5PlHwvQ25+fgBf+cTJwk4h8cXvfR2eQ5T6sS/1XTxJl04Hh4vUaCQMX4T1w\n2chU4Ar/8xV4cRDdgogIcBewQFX/2G5TV9k4Ea8W7Puq2qKqSVV91992CV4Cvlq/ButnwHi8tvoP\n2pVxBfBnVZ28k/P8HLhLVdduZ1su0LDNugY8B7VTVPVmVe2nqoPwnrl/q+olwJvAee3s65Z7LCI5\nbTV+fpX6ycA8sugZVNUNwBoROcBfNQn4lCyysYvoKT4sa+5Le//lzyN4nSSeByb5L1hXAKt3o7i/\nqupGXwC8A0xT1U9UNYknBA7awXGXAHer6seqmsKLBTzSb05tC54/1q/BOh/v2X4DuAlPMLnAM6q6\nHPgX3n1v4wNVfUZVXVVNbHPtBnA1cIOqVqqqo6rv+zZcCLygqq+pagZPvMXwxFv7671BVfvgxdG+\niBeYfjEwHzjN36/Nj/0/30fPBe4BLt7lN9oBZLsP62r/1WMGJFdVW0S+BbwCmHh/JPO72SxE5GHg\nC0CpX13+U+DXwGMicg3eW9UF3WchR+PFUs314x7AezvsKhv7A6vaxS+0pw9eVfCbfo2aiReEOtO3\n7zRgIfAJnkPeLiIyAfgiO3aqzWxd84a/3LT7l/EZbgIe8ZtMdmpfJ1MOPO39dmEBD6nqyyIynex5\nBgH+C3jQFyPLgavwXgqzycZOJRt9WE/yX3h2tuLVVPcFkuLFHy33t++Kje0+J7aznLuD4/rgBfAD\noKrNIlLj29AEhPFE3Xq8+/oXvJe2V/H839VAq4j80t/+Truy28cYbkspEMWLUdueTava2eSKyBq2\njg3b9vpsv0yAR4GbRWQp3kvwtrasAsbtxLaOpCf4sC7zXz1GlAGo6ot4aj9r8N86tsekLjVkB/i1\nUrKDzV1h4xpggIhY2xFm6/Ca4w8C8Kvk5+M5k5C/z8gdCLr2fAGvaXS1/4edC5giMtqPU5iP140Z\n/zxtTaWL9+RCVPUtvJgW/LfeiXtyfGfg23HgdtbXkCXPIICqzgIO3c6mrLGxK8g2H9ZT/ZcfrvAP\nwFbVy0Tkdrzej2303vaYfWAdMLDduXPwguUrVXWliJyKJ8BOx6s5e1JV60XkMuB+9VIm7IidxSFV\n4zXLDqVd+EU7mzaLJr9GsT87bw5fqapXtit7uqp+0a/xW+Efv9DfPsA/R6fTE3xYV/qvntR8GdAz\n+QjvDfLXfjV1VESO9rc9DHzXb87JBX4JPLobImxb/onnuCb409+BF4C22I0HgTNE5Fjfod4CPKWq\n+1JTFhAQ0IWIyAEicqKIRPDESoItPQpnAaeJl9CzN1vipTqCh4GrRGSCf+5f4jV9rgRQ1U/wRM6d\neKkl6v3jPgKaROQm8QL2TREZKyKH7c5JVdUF7gb+KCJ9/OOP9G14DDhdRCb5sWs34uVMe38frvPH\nIhIXr7f6VXi1aQFdTCDKAjoVVXXwgmqH4cV9rMWLhwDP4UwB/oP3ppbEqyb+DCLyPyLy0g7O0aqq\nG9omvObKpKpW+dvnA1/HE2eb8GLJru+YKwwICOgiInhNq9V4KQjK8OK7wPMjs/F6Fr5KBwoKVX0d\nr8f2k3gvmEPZOi4M4CG8EIqH2h3nAJPxXhRXsEW4FezB6b+H1zQ7HS93428AQ1UX4XV0+Ktf7hnA\nGaqa3sPLa8/bwFK8eLjfq+qrACJyiYh0e6jQ54VgQPKAgICAgIDPKe2aL0N70UoR0MEENWUBAQEB\nAQEBAVlAIMoCAgICAgICArKAoPkyICAgICAgICALCGrKAgICAgICAgKygECUBQQEBAQEBARkAT0q\neWwbpaWlOmjQoO42IyAgoIuYOXNmtar26m47OoLAfwUEfP7YXR/WI0XZoEGDmDFjRnebERAQ0EWI\nyKpd79UzCPxXQMDnj931YUHzZUBAQEBAQEBAFhCIsoCAgICAgICALKBHNl9+XnCa0qTXNOE0pRHL\nQEKGNzcFDG8SkV1KayNmYfWKI8aOxiUPCNj/8QeOvhUwgTtV9dfbbD8O+DMwHrhIVZ9ot+0K4Ef+\n4v+p6n3++kOAe4EY3kDjN+h+lGfIaW6m8cUXwXE2rzOLisk75WTP9+wh6rq0fPABmskgpoWELIyc\nXKJjx+xVeQEB+xuBKMsyEotqaZ2+gfSaZpyGVIeVKzGLyMB8IoPziY4sJlSe02FlBwRkOyJiArcD\nJ+GNvzpdRKaq6qftdlsNXIk33mD7Y4uBnwKHAgrM9I+tA+4AvgZMwxNlpwLbHaO1J1L9tzuovfvu\nz6wfcM/d5Bx55B6X1/jcc6y76YefWd/v9tvImzRpr2wMCNifCERZFtEyfQN1Ty3BzA8THlRAuH8e\n4f55WIUR1Ha9KeOijoLq5jm7eC93GtOkVzaSWtlAcmEtDa+souQrI4mNLe2aCwsI6H4mAktVdTmA\niDwCnAVsFmWqutLf5m5z7CnAa6pa629/DThVRN4C8lX1Q3/9/cDZ7CeizG1pof7xx8k7+WR6/+TH\nAKhts+Lc86i99749FmWqSs099xIeNpQ+v/wlajvg2Kz74c3U3ntfIMoCAghEWdbQ9E4lDS8sJzKi\niJJLR2GEzQ4tP+eQcgCcxhQ1Dyyg5qEFFF88kvi4/SLLQEDArugLrGm3vBY4fB+O7etPa7ezfr+g\n/qmncZuaKLn6KqzSLS9wRRdfTPVtt5FasYLI4MG7XV7rtI9ILVxI75/fQmz8+C3lXXIJm377W5IL\nFhAdNapDryEgoKcRBPp3M6pKw2uraHhhObFxpZRePrrDBVl7zPwIpdeMJdw/n9qHF9I6u6rTzhUQ\nEOAhIteKyAwRmVFVlf1/c+o41E6ZQuzAA4lNmLDVtqKLLkRCIeqmTNmjMmvvvRezqIiCM87Yan3h\neeci8Ti19+9ZeQEB+yOBKOtmGl9bRdMbq4kfWk7xxSMRq/NviRGxKL16DOEB+dQ+spDWWZs6/ZwB\nAd1MJdC/3XI/f92+HFvpf95lmar6T1U9VFUP7dUr+2unm996i8zq1RRfecVntlmlpeSfcQb1Tz+D\n09CwW+WlVqyg+a23KLr4YoxodKttZn4+hWefTePzz2NXV3eI/QEBPZVAlHUj6TVNNL25hvgh5RSd\nO7xLe0caEYvSq8YSHlRA7WOLyWxo6bJzBwR0A9OB4SIyWETCwEXA1N089hXgZBEpEpEi4GTgFVVd\nDzSKyBHidR28HHi2M4zvamrvvQ+rTwV5J5203e3Fl1+GJhLUP/74bpVXN2UKEgpR9JWLt7u96NJL\n0UyGukcf3WubAwL2BwJR1k2o41L31BKMvDCFZwzplu7gRsT04teiJnVPL0Xd/aYnf0DAVqiqDXwL\nT2AtAB5T1fkicouInAkgIoeJyFrgfOAfIjLfP7YW+DmesJsO3NIW9A9cD9wJLAWWsR8E+Sc//ZTW\n6dMpvuRSxNp+2HF05EjiRxxB7QMPopnMTstz6uupf/oZ8idP3io2rT2RIYPJOf446h55BDed3udr\nCAjoqQSirJtofreSzPoWis4cihHtvv4WZk6IgtOHkF7VSMuMDd1mR0BAZ6OqL6rqCFUdqqq/8Nf9\nRFWn+p+nq2o/Vc1R1RJVHdPu2LtVdZg/3dNu/QxVHeuX+a39IUdZ7X33I/E4heeft9P9iq+4HHvD\nBppee22n+9U99jiaSGy3KXSr8i67HKeqmqaXeryuDQjYawJR1g3YNQkaX19NdHRJVqSliB9cRmRI\nAQ0vrsRpCt5SAwI+r2Q2baLhxRcp/PKXMfPzd7pv7vHHEx44kNr77t/hPprJUPfgg8SPPILoAQfs\ntLyco48iPHQotffdz36gbQMC9opAlHUxqkrdM0vBEIrOGtrd5gAgIhSeMwzNONS/sLy7zQkICOgm\nau+6C2yb4ssu3eW+YhgUXX4ZidmzaXn//e3uU//009gbN1J8xc5rycDzQ8WXXeY1n077aI9tDwjY\nHwhEWRfT+vEmUkvqKTh1EGZBpLvN2UyoV5z8E/qTmFVFcnFdd5sTEBDQxaSWr6D2wYcoPO88wgMH\n7tYxheefT6h/fzb+6teobW+1zWlupurWvxA7+GByjz9+t8orOPssrIoKNv3ud6i7bQ7fgID9n0CU\ndSGtszZR99QSwgPzyTm8orvN+Qx5X+iPVRqj7ukl2PUdN8RTQEBA9rPpt7/FiETodcO3d/sYIxym\n7PvfI7VkCfVPPLnVtuo77sCpqaH85pt3uyOTEY1S9p0bSM6fT+MLL+yR/QEB+wOBKOsCVJWmt9dQ\n+8giIgPzKb1yTFYODi6WQdEFI3BbbTb9bRbpdc3dbVJAQEAX0PzuezS/9Ral3/j6DntI7oi8k04i\nfthhVN16K05TEwDpVauovX8KBeecQ2zc2D0qL/+MM4iOGcOmP/4JN5nco2MDAno6gSjrZNRVGp5b\nTsNLK4mNL6X06rEYsewd3SoyIJ+ybxyICFT9fU7QlBkQsJ+jts2m3/yaUP/+FF1++R4fLyKU/fAm\nnPp6qu/4OwAbf/c7JBSi13e+s+flGQZlN/0Ae/36nXYiCAjYHwlEWSfT8Pxymt9fR+6xfSm+qGsy\n9u8rod45lF0/AaskSvW984JUGQEB+zH1jz9OaslSyr7/PYxweK/KiI0ZQ8GXz6F2yhTqHnuM5tff\noPTaawmVl+1VeTkTJ5I7aRI1//wndk3NXpURENATyX6F0INRVVpnVxEbV0rh6UOysslyR5gFEXpd\nN57IkELqnlqC07LzBJEBAQE9D6ehgapb/0L8sMN2mL1/d+l1ww0YoRAbfvJTQn36UHzVlftUXtmN\nN+KmUlTddts+lRMQ0JMIRFkn4tSlcFsyRIYWdLcpe4URtcg/sT+43pBQAQEB+xcNzz6LU19P+c0/\n3OdRRUJlZZRcdx0AZT/4PkZk33qXR4YMpujCC6l/7HHSK1fuU1kBAT2FQJR1Im1CJtx/50kYs5lQ\n3zyQQJQFBOyPpNesxcjJITp6dIeUV3Lt1xg89VnyTz21Q8oruuQr4DgkZs/ukPICArKdQJR1Iuk1\nTWAZhHrHu9uUvcaImITKcwJRFhCwH2JvWI/Vu3eHlSciREeM6LDyQhVe6qDMho0dVmZAQDYTiLJO\nJL2miXDfXMTs2V9zeEAe6TVNwdAnAQH7GZkNGwl1oCjraIxYDLOwEHtj0Nko4PNBh6gFETlVRBaJ\nyFIR+eF2tkdE5FF/+zQRGeSvHyQiCRGZ5U9/7wh7sgF1XDLrmgn3z+tuU/aZcP88NGFjVye625SA\ngIAOxN6wAat3eXebsVOs3r2DmrKAzw37nDBLREzgduAkYC0wXUT+f3v3HSdVeTVw/HfunbZ9WVh2\n6UWadJHYEIMiir3EGntNjEajMXljjEneRBNN1LzGaGLvJXaxIoJYsAFKkyK9Lmxld7ZMu/e8f8ws\nLitlYcvMLs/Xzzgzt56ZYZ8587Q7RVUXN9jsMqBCVQeIyDnAHcDZiXUrVXV0c+NINdHNtWjUxdcr\nM9mhNFt9YhlZH8Sb336bYg3D+I5Go8RKS/EWpG5NGYC3oIDYZlNTZuwbWqKm7CBghaquUtUI8Dxw\nSqNtTgGeSDx+CZgozR3qk+I6Qif/ep6u6YjPNv3KDKMDiZWUgGr7qCnbYmrKjH1DSyRlPYD1DZ5v\nSCzb4TaqGgMqgc6Jdf1E5GsR+VBExrdAPCkhsj6IleHB7pQ6Fx3fW2IJvp6ZJikzjA4kmqh9qu9M\nn6q8hQU4ZWW4kUiyQzGMVpfsHuhFQG9VPQC4AXhWRHZYtSQiV4rIHBGZU1JS0qZB7o3I+iC+XtnN\nnvsnVfh6ZREtqkGjbrJDMQyjBdQ3CXoKUrymLNG8GjO1ZcY+oCWSso1ArwbPeyaW7XAbEfEAOUCZ\nqoZVtQxAVecCK4EdjqdW1QdVdayqjs3Pz2+BsFuPG4oRK6ntEJ386/l6ZYGjRIrMRcoNoyOo7zyf\nyqMvIV5TBph+ZcY+oSWSstnAQBHpJyI+4BxgSqNtpgAXJR6fAcxQVRWR/MRAAUSkPzAQWNUCMSVV\nZEM1KB0rKeud6Oy/zjRhGu1TM0aJn9dghPg8EXFFZHRi3czEMevX7d3FHpMgtmUzkp6OlZXa5VT9\nPGpmBKaxL2j26EtVjYnINcBUwAYeVdVvRORPwBxVnQI8AjwlIiuAcuKJG8ARwJ9EJAq4wE9Vtby5\nMSXbtk7+Pdv/yMt6drYfO9tn+pUZ7VJzRomr6jPAM4njjABeU9V5DfY7T1XntMkLaUH1c5SlehcL\nT9dETZmZq8zYBzQ7KQNQ1beBtxst+32DxyHgzB3s9zLwckvEkEoi64N4uqRhpXuTHUqL8vXKMkmZ\n0V5tGyUOICL1o8QbJmWnAH9MPH4J+JeIiG4/a/K5xEeYt3vRzUXbmgZTmZ2ZgZWVZWrKjH1Csjv6\ndziqmujkn9pNAnvD1zsLpzyEUxNNdiiGsaeaO0q83tnAc42WPZZourylPU31E9u8ZVsn+lTnLSww\nNWXGPsEkZS3MqYrgBiMdMylrMImsYexrRORgoFZVFzVYfJ6qjgDGJ24X7GTflBo9rrEYsZKSlJ+j\nrJ6nwMzqb+wbTFLWwuo7wnfEpMzbIwvEJGVGu7TXo8QbrD+HRrVkqroxcR8EniXeTPo9qTZ6PFZa\nCq6b8rP51/MUmln9jX2DScpaWGRDEGzB2y0j2aG0OMtv4y1IN0mZ0R7t9ShxABGxgLNo0J9MRDwi\n0iXx2AucCCyiHYgWFQHg7dY+kjJvQSGx0lI0arpOGB2bScpakFMTJbS4DG/3TMTTMd9aX69sIuuD\nqGMmkTXaj0QfsfpR4kuAF+pHiYvIyYnNHgE6J0aJ3wA0nDbjCGB9/UCBBD8wVUQWAPOI17Q91Mov\npUXUT8TqSfE5yup5CgtANX5pKMPowFpk9KUBsfIQpY8uIrY1ROcLhiY7nFYTGJJHzezNlD6xmM4/\nHoIVMP+EjPZhb0eJJ9bNBA5ptKwGOLDFA20D2y6xlOKz+dfzNpirzNu9e5KjMYzW0zGrc9pYZFM1\nxf+eh1MdJf/yEaQNzkt2SK0mbVhnOv1oIOEVWyn5zwJileFkh2QYxh6Kbd6CBAJYOTnJDqVJl9CI\nWAAAIABJREFU6i8FZUZgGh2dScqaKbRyKyUPLEAsoetVI/H3bR+FXHNk/KCQLhcPI1YRouS+eUQ2\nmUsvGUZ7Et2yuV1MHFvPa2b1N/YRJilrBicYoeypJdg5fvJ/NhpvQcfr3L8zgUGd6HrVKBAoeWAB\nsbK6ZIdkGEYTxYo2t5v+ZABWVhaSnm5GYBodnknKmmHrW6vQqEPn8/fHk+NPdjhtzluYQf5PRgFQ\n8doKtp/43DCMVBXdsqXd9CcDEBG8BQVEt5iaMqNjM0nZXgp9W0HdvBKyJvTC2zU92eEkjScvQM6x\nfQkv30rdPDMyyjBSnToOseLidlVTBmauMmPfYJKyvaBRh4rXVuDpkkb2hF6736GDyzikG75eWWx9\nc6W5BJNhpLhYaRk4TruZo6yet6DQ1JQZHZ5JyvZC1Yz1OOUhck8dgHjNWyiWkHv6QNw6h8q3Vyc7\nHMMwdqF+BKOnHTVfQqKmrLgYdZxkh2IYrcZMMrWHoltqCH60gfQxXQkMyE1ODOEQm75dyoYli9iw\neBFbi3ddpR9Iz6DH/sPpNXQEvYYOJ5CZRen6tWxatoRN3y6htqqSXkNH0Hf0gXTt0w+x9jzR9HXL\nIOuIngRnrif9gOS9N4Zh7Fq0KDFHWTtrvvQWFoLjECstw1vQNdnhGEarMEnZHlBXqXhlBZbfJuf4\nfm1+/trKrcx86hGWffoxrhNDxKJrv/3oM3w0Yu18aHt1RTmLP5rB/PfeAsDj9RGLRgDI6JRHWmYW\nnzz/JJ88/yTpObnsN/Zgxp11Phm5nfYovuyJvahbWMLWV5fT9boxWD5771+sYRitYltNWTtLyhrO\nVWaSMqOjMknZHqj+eCORtVV0OnMQdqavzc6rqnwz830+fOoRouEQo445jn6jDqT74KH405s2yMB1\nHLasXsH6bxZSs7WCwgGD6DFof7K65CMi1GytYM38r1gz/ysWfzid5V98ypEXX8n+h09o8lxG4rXJ\nPX0gpQ8tpPKd1XQ6ZUBzXrZhGK0gunkL4vdj57av2uzv5irbTNrIkUmOxjBah0nKmii6uYbK99aQ\nNqwz6WPa7lfa1i2bmfbgvaxbNJ8eQ4Yy6Yqf07nnng8usGybbgMG023A4B2uz8jtxLAfTmTYDydS\ntuEcpv7n/3jnX3ex7NOPOPryq8nq3KVJ5wnsl0vmuO5Uz9pE2v6dCQzas9o2wzBaV2zzZjyFBe1m\n4th69TV7MTOBrNGBmV7qTaAxl/L/LsNK85B72oA2K8zWzJvL0zddx+aVyzn68qs5+w+371VCtqc6\n9+zFOX/6GxMuvIJ1ixbwxK+uZsPiRU3eP2dyXzxd0yl/8VszGtMwUkx082a8Be2r6RLAzs1FfD6i\n5lJLRgdmkrImqHp/HdGiGjqdPrBNmi1VldlTXuaV2/+X7M75XPi3fzJq0nF71QF/b1mWzYEnnMKF\nf7+X9JxOvPSXW1j+5adN2le8NnlnD8atjbLVTCprGCmlvqasvRERPIWFpqbM6NBMUrYb4bVVBD9c\nT/rYAtKGdm7180UjYd6+904+euYxBh58GOf++U5yuibvV22nwu6c87930LVPf964+3bmT3unSfv5\nemSSPakPdQtLqTWTyhpGSlDXJVpcjLewW7JD2SvxWf1NTZnRcZmkbBecqgjlzy3FzvWTe1L/Vj9f\nVWkxz//+1yz99CMOP+dCTvzF/+ANBFr9vLuTnp3DmbfcRt/RY3j/4fv49MVnm1T7lXVET3x9s9n6\n2gqixbVtEKlhGLvilJVBLNYua8oAU1NmdHgmKdsJNxSj9LFFuLVROp+3P5a/dcdErP9mAU//5hds\n3VzEqb+6hYNPOyulOuJ6AwFOufF3DPvhRD576VnevOdvREOhXe4jlpB39mDEZ1H6yEJiW8NtFK1h\nGDsSTSQ07W2Osnrewvj1L9V1kx2KYbQKk5TtgEZdyp5cTHRLLZ3PH4qvZ1brnUuVr95+nRdv/R1p\nWdmc95e72e/Ag1rtfM1hezwce9UvGP/ji1n++SyeveVGtm4u2uU+nk4BulwyHDfkUPrIQtPx3zCS\nKJr4e21vs/nX8xQUQjSKU16e7FAMo1WYpKwRdZXyF5YRXlVJ3pmDWnVKh1B1NW/98+988MRD9B9z\nED++7W7yuvdstfO1BBHhoFPO4PSb/kh1WSnP/PZ61sybu8t9fN0z6XLRMGIVIUof/wY3bC6TYrQ9\nEZksIstEZIWI/GYH6/0i8t/E+i9EpG9ieV8RqROReYnbfxrsc6CILEzs809JpertHYgVxZMyb7d2\n2qcs0ewaNU2YRgdl5ilrQB1l6+srqFtYSs4J/Ug/oPXmI1s9by7v/eceaqsqGXf2BRx86pltOrqy\nufqOGsN5f/0/Xr/zVl6+/Y8cePwpHH7OhXh8Ox6d6u+fQ+dz96fs6cWUPb2YzhcMNTP+G21GRGzg\nPmASsAGYLSJTVHVxg80uAypUdYCInAPcAZydWLdSVUfv4ND/Bq4AvgDeBiYDTRsN08Y0GqXivy/g\n69MHu1P7nD/Qk5jKI7JqJWnDhyUlhgUlC1hctpiwEybshAnFQkTdKDE3RtSN4qjDGQPPYFiX5MRn\ntG8mKUtwghHKnl1KZHUlWRN6kTW+dWqsIqE6PnzqERa8/y6de/bm1F//noL+7XPm+9yCQn785zv5\n8OlHmPvWa6yeN5fjrr6Bwv0G7nD7tGGd6fSjgVS8vJyS++eRd97+ePObdkUCw2img4AVqroKQESe\nB04BGiZlpwB/TDx+CfjXrmq+RKQbkK2qnyeePwmcSoomZRX/fYHIypX0vP++lOqvuicCQwbj7dOb\nsoceIvuEExC7bX/YrahYwQXvXICr3/Vps8TCZ/nwWB48lodQLMQnGz/h9VNeJ91ryjdjz5ikDAiv\nqaTsmaVoKEanswaRMabl+1tUV5Qzf9rbzJ/2DnXBKsaedDrjzjp/pzVL7YU3EODoy69mwNhDmPrA\nP3n2d7/k4NPOYuyJp+/wElAZYwuxs/2UP7+U4n/No9OPBpI+Mj8JkRv7mB7A+gbPNwAH72wbVY2J\nSCVQPw9OPxH5GqgCfqeqHye239DomD1aIfZmc7ZupfTee0k/9BAyjzwy2eHsNfF66Xr99Wz8xfVU\nvvY6uT86vU3Pf9fcu8jwZPDcic+RF8gjYAfwWJ7tkty5W+Zy8bsX8+iiR7nmgGvaND6j/dunkzKN\nuQQ/2UjVe2vwdArQ+bLReAszWvQcW1at4Ku3X2fppx/jug79x/yAg089k+6D9m/R8yRb39EHctHf\n72PG4w/w+cvP89XbUxh59GQOmHwS2V22T7oCgzrR9doxlD+7hPJnlxJZU0X2sX2x/KY500hJRUBv\nVS0TkQOB10Rkj9qmRORK4EqA3r17t0KIu1Zy//04wSAFv7mp3daS1cs69lgCI0dScu+9ZJ9wPFYb\nTRs0a+MsPtn4CTeOvZE+2X12ut2BBQdyXN/jeGzRY5w64FR6ZqV2P2EjteyTSZk6LrVzi6mavg6n\nMhxvVjtzEFagZd4O13FY/uVnfP3uFDYuXYzXH2DUpOM4YPKJdOqWkj+kW0QgM5Pjr/klYyafxJw3\nX2XuW6/x1duvM+iQwxk24Wh6Dx+JZcUTL0+un/wrR1L5zmqqZ22idn4xWUf0IuPQbqavmdEaNgIN\nr1HWM7FsR9tsEBEPkAOUaXxSvjCAqs4VkZXAoMT2Db9xd3RMEvs9CDwIMHbs2Da9xEV41Soqnn2O\n3LPOJDB4UFueulWICF1v/CXrLryI8qeeossVV7T6OWNujDvn3EnPzJ6cO+Tc3W5/w9gbmLlhJnfN\nuYt/HPmPVo/P6Dj2qaTMrYtRt6iUqg/W45SH8PXKotMZA/EPyG32r0cnFqNoxTLWLviab2ZOJ1hW\nQk7XAiZceDnDJhxNICOzhV5F6iscMIgTf/E/VBZv4et3p7BwxjSWzvqQjE55DDlsPEPGTaCg336I\nxyL3pP1IG5VP1fvrqHxnNcGPN5B1RE/Sx3Rtk0taGfuM2cBAEelHPHE6B/hxo22mABcBnwFnADNU\nVUUkHyhXVUdE+gMDgVWqWi4iVSJyCPGO/hcC97bR62myLXfcgRUIkH/ttckOpcVkHHQQmT/8IWUP\nPkTuGWfgaeWBC6+ueJUVW1dw94S78dm7L5cKMwq5fMTl3Pv1vXxe9DmHdDukVeMzOg5piesSishk\n4B7ABh5W1dsbrfcDTwIHAmXA2aq6JrHuJuKjnhzgWlWdurvzjR07VufMmdOk2NzaKHVLyqlbWEpo\neQU4irdbBtnH9CEwJG+vk7FIqI7iVSspWvktGxYvZP3iRURDdSBC72EjOOC4U+g/Zuy2mqFdcRyX\naMghEooRDTnEIi5OzMWJxu9dR3EcF3UV11XUVVTZdt8Uli1YliCWYNmCbVtYHsH2WHi8Fr40z3c3\nv41YLdfEEY2EWf3VbJZ8MpNVX83BdWKkZefQe/go+owYTe/hI8nOLyCytoqq99cRXrEVJD5iM214\nF9KGdcHONgnavkxE5qrq2GYe43jg/4iXU4+q6m0i8idgjqpOEZEA8BRwAFAOnKOqq0TkR8CfgCjg\nAn9Q1TcSxxwLPA6kEe/g/3PdTaG6J+VXc1V/Mov1l19O11//ms6XXtIm52wroW+/ZfUpp5J30UUU\n/OZ/Wu081ZFqTnj1BPpm9+XxyY83+Tsj7IQ55bVTSPOk8cJJL+C1vK0Wo5H6mlqGNTspSww1/5YG\nQ82BcxsONReRnwEjVfWniaHmp6nq2SIyFHiO+Mio7sD7wCBV3eVEVjsq1NRV3OoIsfIQ0Y3VRDZU\nE9kQJFZSB4Cd649/wY/sgq9XVpP/sCKhOrZuLqKiaBMVmzZQXrSRkjWrKNuwHk2MwOnUrTu9h4+m\nz4jR9Bo2Eq8/na3FtVRsrqV8U5DaijqioSiRUJRoKEq4Lkq4LkYkpEQjguum3lQYluVg24rtUXx+\noXNhJgX75dO5bydyu6bHk7eAje219iixrasOsmrul6xdOI91i+ZTUxGfBDKQmUXXvv3I79Ofgk79\nyQpmY21wcMsjANidA/h6ZuHrkYmvZyaeLmlYmb4WTR53JOpEqYxUUhWpoipcFb+PVBGMBKmOVBOM\nBqmJ1FAbqyUUC1EXq6MuVkdMYziug6PxW7Ivyi4i2GJvu3ltLwFPgHRPOgE7QLo3nQxvBlm+LDK9\nmWT6Msn2Zcdv/uxtj5tSS9BK8Tc7KUsVbZmUbfj5tdTO+5oB06djtfNBRTuy6abfUvXmm+z37jt4\ne7RO15B7vrqHhxc+zHMnPMfwLsP3aN/p66bziw9+wU0H3cSP929cMWvsS5pahrVE82VzhpqfAjyv\nqmFgtYisSBzvs12d0AlG2PrGStzaGE5NFKciRKwiDLEGw5QzPdjd0gkMycLqFUDzLMLRKDV1RUQW\nrCJcXUu4toZQTQ2h6iC1VZWEgkFCNdWEqquoC1YSqa3GiUW2O7ftTcfjzSE9e39suwti5eNG01n9\nlc3KOcUoH+BoGkgi0VIXT6wW24lguxEsJ4LHCeOP1ZIZrcUTq8UTq8PjhLBjIWwnjGoYtWK4GsO1\norjioji44qDioALgoqI07atesFQQtRKPbQQP4EGwEXxYGkAI4HjSiHkCuJYfx/bj2D4iviw2be7G\n6qUhth/AFn99FhEswthWBNsTw/a42D7F4xe8fsGb7sEb8OANePGm+fCn+ykceDA9R4wjXBtka9Fa\ngmVbqNxSxMb33sKJfjfrf25aAf06jySvohtZFZ3wz/+uU69aipsGmimQbqFpVvw+3cb1geNXHK8S\n87mEJUpIIoQkTB1hqt0aat1aqp0aamI1VEWDBKNBqqPVBCPBbYlXXaxul++sz/KR6cuMJzeeAGme\nNPy2n0xP5rYEyBILS5KbeLvq4qq7LUmMOBEqQ5VscbZQF6ujNlpLMBok5sZ2eRy/7Sfbl71d8pbp\nzSTLl0WaJ410bzrpnnTSvfFkL+AJ4Lf9BOwAXtuLz/bhs3z47O+mELDFjj8WD7aVSBwtG4t4wp/s\n9669cuvqqP74Y3JPP61DJmQA+T+/hsrXXmPr66+T/7Oftfjxa6I1PLX4KY7vd/weJ2QAR/U6ihFd\nRvDK8ldMUmY0SUskZc0Zat4D+LzRvrv9ueNURaj4eA1hp5awW0dtrIqaWCU10a3UxCrZGimhzgnC\nwj18JeJHJACSgVidEbsPHm8GYuUgVh5i52IpeGIh7HAokUyFsZwq0CiiUdAIolXAZvAUYfmKsP1h\nxKOIR7EsxbLB6wWfT/D7LHxeG7/Pi8/nJeD34/f48XjT8XoCeD2Z2N50bE8A2/Yj3jSwPSB2PPGz\nbEBgV7VV6sZvrgPq4KriWDaOWDiWTRQlpA4hN0YoEiEcChMNlRINh4iGQ4RrQqRV1BAuV5xgLkQ6\ngesD9QM+hAAq6aik4drpxDwZhD3xBM+x/TsJKpK42UD/xA08GS62uxV1K1G3iqBTyfwta1F3MWgd\nPoFOvhwyPblkeHLI8OaSUZ6N307Hb6XhsXb15eNL3LKALjvcIj7/UCLZVa1/xPfTX23w//i2e6Kp\n6XQq2fOY67ev/6xluzURlMgO9jJaRvUnn6ChEFnHHJPsUFqNt3t30kaNonr6jFZJyj7e+DFhJ8yZ\ng87cq/1FhMl9J/P3OX9nbdXaXY7aNAxoRx39Gw4p75XXhTc3PNdwbf02gCKSRcCbjSWS+KUdXyci\nCGBZ3y2zLIk309kkEiYX23axPdXYnqp4853XwZemBPyC32/h8/vx+X0E/D4CPj8BjwePCjYK6oCV\nCfZQsEeB7YvH58biSZEbS9yi4CQeO2GIRRL3YYjWQSwEdZUQ2xJ/7kTiy2KR+GN14+fSJl6YV6zE\nzcYCLHXw7rJWRMDjj8dv2fE8JlOJf50KeALx9Z5AfBvbg2t5qLNsah2oiwqRmEsoKtRFPESiXiIx\nD9GYl1jMg+PauI4HV21cx8ZVG1wLVRsVC2wLdQX1WMQ0gGpaPK9UCLlQG4lBuATVzSjxRAp1kcRE\njt4GtS8e8WyrrbKwsMVCxEKI18LItn8/8ddd/1/9wsbpbuMl30uH2+WUA/Uxa6Pne7r/9pqaxrW/\nFDX1Bd+bhp2bS/rYDtHqu1OZE4+i5K67iRYVtfjlo2asnUFeII8Duh6w18eY1GcSf5/zd6atncbl\nIy5vweiMjqglkrK9HmrexH2B7YeUHzh2rJ730P0EQ1Gq6mKUVocpCYYpDobYUhVmTVkNq0pq2Lj1\nu6anHrlpHNw/j0P6d+bIwV3Jz9pZDU471LiWRvX7icGOEoX4aIF4YtjwS1UELM8eJxcWkJG47a3K\n2ijTlmzhi1VlfLmmnLVltdvWdc8J0D8/k35dMijMCZCf5Y/fMv3kpHnJDnjJDHiwW7mfmZEE97f+\ntAcdiUYiVH/wAVnHHoN42s1v772SNXEiJXfdTXDGDPLOO6/FjhtxIny08SMm952M3YQBWzvTLbMb\nI7uMNEmZ0SQt8dfanKHmU4BnReRu4h39BwJf7u6EAuRl+MjL2HU/idpIjJXFNcxdW84Xq8uZuayE\nV77aiMcSjhrSlbPG9mLC4Hw8djvvs9KUBGxn+4mdaAJNHsdVPllRyktzNzD1m81EYi656V4O6pvH\nBYf04Qd98xhYkEm6r2N/uRhGS6n5/HPc6mqyJk1Kdiitzt+/P75+/aie3rJJ2edFn1MTrWFi74nN\nPtakPpO4a+5dbAhuMJPJGrvU7G+5RB+xa4CpfDfU/JuGQ82BR4CnEh35y4knbiS2e4H4oIAYcPXu\nRl7uiXSfhxE9cxjRM4eLx/XDdZVlW4K89vVGXv5qA+8t3kJ+lp9Lx/Xj0sP74veYSUvbkuMq/529\nnntnLKeoMkROmpdzftCLH43pyYgeOVimxssw9kpw2jSsjAwyDjss2aG0iayJR1H2xJM4wSB2VlaL\nHHP6uulkeDM4uFvjLtJ77ug+R3PX3Lt4f+37XDz84uYHZ3RYLVL1oKpvA283Wvb7Bo9DwA57Sqrq\nbcBtLRHH7liWsH+3bPbvls2Nxw7mg6XFPP3FOu54dynPz17Hzcfvz6ShBe3+MiTtwSfLS7n1rcUs\n3RxkbJ9O/O6EoRw9tKtJjA2jmTQWI/j+dDInTOiwoy4byzxqImUPP0L1Rx+Rc8IJzT6e4zp8sO4D\njuh5RItMA9MzqydDOw9l2tppJikzdqmdt9vtPa9tccywQp689CCevPQgvLbFlU/N5YJHvmRVSXWy\nw+uwNleGuPyJ2Zz/yBfURGLcf94YXvzpoZwwsptJyAyjBdTO/QqnomKfaLqslzZqJHbnzlRPn9Ei\nx/uq+CsqwhUt0nRZb1KfSSwoXUBRdVGLHdPoePbZpKyhIwbl88514/njSUNZsGErp9w3i5nLipMd\nVoczd20FJ/3rEz5dWcb/TB7CtOt/yPEjupmaScNoQcFp0xC/n8wjxic7lDYjtk3mkROo/ugjNNL8\niVZmrJuBz/IxvkfLvYeT+sST5PfXvd9ixzQ6HpOUJXhti4vH9eOdXxxBz07pXPr4bB7+eFXSZ2Lv\nKF6Ys55zH/ycNK/Nqz8bx1UT9iPgNTVjhtGS1HUJTptGxvjDsdLTkx1Om8o6aiJudTU1X85u1nFU\nlenrpnNY98NI97bce9gnuw+DOw1m2tppLXZMo+MxSVkjPXLTePmqQzl2WCG3vrWEX720gHCsxcYe\n7HNijssfp3zDr19awMH985hyzTgGF7ZMR1zDMLYXWriQ2JYtZO9DTZf1Mg47FElLo3rG9GYdZ3H5\nYopqipjYp+WaLusd0/cYvi7+mi01W1r82EbHYJKyHUj3ebjvx2O4buJAXpq7gcufmGMSs73gusqN\nL87n8U/XcPnh/Xjs4h+Qm75vdDw2jGSomvoeeDxkHnlkskNpc1YgQObh4wjO+KBZLRzT107HFpsJ\nPSe0XHAJpgnT2B2TlO2EZQnXTxrE3340ko+Xl3LDf+fjuKYps6lUlT9M+YbX5m3iV8cO5ncnDm3/\n88EZRgpTx6HqrbfIHD8eOzs72eEkReZRE4lt3kzom8W733gH6psuxxaMJTeQ28LRQb+cfgzJG8Lz\nS58n6kZ3v4OxzzHfkrtx1g96cfPx+/PWwiJueX2R6WPWRHe+t4ynPl/LT37Yn59N2C/Z4RhGh1c7\new6xLVvIOenEZIeSNJkTfgi2TfC99/Zq/8+KPmNV5Som95vcwpF952ejfsaaqjW8uvzVVjuH0X6Z\npKwJrjginlg8+8U67nxvWbLDSXn/+XAl932wknMP6s1vJg8xoysNow1UvjEFKz19n2y6rOfp1ImM\nQw6h6t139/gHtKpy/7z7Kcwo5OT9Tm6lCGFCrwmM6TqG++fdT220dvc7GPsUk5Q10a+OHcy5B/Xm\nvg9W8sgnq5MdTsp6Yc56bn9nKSeN6s6tpw43CZlhtAE3HCY49T2yJk3CSktLdjhJlX3cZKLr1hFa\nvGdNmJ9u+pT5JfO5YsQVLTJh7M6ICNcfeD1loTKeXPxkq53HaJ9MUtZEIsKtpw5n8rBCbn1rMdOX\nmNEzjX26spTfvrKQ8QO7cPdZo8yFwQ2jjVTP/BC3uprsk09KdihJl3X00eDxEHznnSbvo6rcPz9e\nS3bagNNaMbq40V1HM7H3RB5b9BhldWWtfj6j/TBJ2R6wLeHus0cxrHs21z73Ncs2B5MdUspYUVzN\nT5+aS78uGdx33hi8plO/YbSZqjffwM7vQsYhhyQ7lKSzc3PJOOxQqt5pehPmrE2zWFCygCtGXIHX\n9rZyhHHXjbmOsBPmgQUPtMn5jPbBfHPuoXSfh4cv/AEZfg+XPTGb0upwskNKurLqMJc+Phufx+LR\ni39AdqBtCjXD2BMiMllElonIChH5zQ7W+0Xkv4n1X4hI38TySSIyV0QWJu6ParDPzMQx5yVuXdvu\nFcU5lZVUz/yQnOOPR2wzITNA9uTjiG7cSGjRot1uW9+XrHtG9zapJavXL6cfpw88nReXvci6qnVt\ndl4jtZmkbC8U5gR4+KKxlATD/PSpufv0HGahqMNPnprLlqoQD104ll55+9Ys4kb7ICI2cB9wHDAU\nOFdEhjba7DKgQlUHAP8A7kgsLwVOUtURwEXAU432O09VRydubX59tqqpU9FolOwTTdNlvayJR4HX\nS9Xbu2/C/HjjxywsXcgVI9uulqzeVaOuwmt7+dfX/2rT8xqpyyRle2lkz1zuOmsUc9ZW8JOn5lIc\nDCU7pDY3Z005J977CXPWVnD3WaM5oHenZIdkGDtzELBCVVepagR4Hjil0TanAE8kHr8ETBQRUdWv\nVXVTYvk3QJqI+Nsk6iaoeuNNfP36ERg+LNmhpAw7J4fMww7b7ShMVeXf8/5Nj8wenDKg8T+H1pef\nns95+5/Hu2veZXnF8jY/v5F6TFLWDCeO7M6fTx3OpyvLOOYfH/H6vI37xDxmwVCU3722kDP+8xl1\nEYfHL/kBJ4zsluywDGNXegDrGzzfkFi2w21UNQZUAp0bbfMj4CtVbdhv4bFE0+Ut0sbDjaNFRdTO\nnk32SSeakc6NZB03mVhREaH583e6zedFn7OobBGXj7gcr5WcbhcXD7uYdG86/57/76Sc30gtJilr\npgsO6cPb146nX5cMrnt+Hj95ai4lwY7bz+zbLUEm3f0Rz3yxjkvH9eO9649gwuA270ZjGG1ORIYR\nb9L8SYPF5yWaNccnbhfsZN8rRWSOiMwpKSlpsZgq33gTgJwT990JY3cma+JExOul6p13d7rNY4se\no0tal1adl2x3cvw5XDD0AqatncbS8qVJi8NIDSYpawEDumby0k8P47fHD2HmtyX86qWd/zJr7578\nbA2VdVFeueowfn/SUDL8nmSHZBhNsRHo1eB5z8SyHW4jIh4gByhLPO8JvApcqKor63dQ1Y2J+yDw\nLPFm0u9R1QdVdayqjs3Pz2+RF+RGIlQ8/TTpBx+Mr3fvFjlmR2JnZZExfny8CdN1v7cmKD7/AAAY\nwklEQVR+SdkSPiv6jPP3P79V5yVriguGXkCWN4v7592f1DiM5DNJWQuxLeHKI/bjokP78OmKMmrC\nsWSH1OJUlQ+WlnD4wC6m/5jR3swGBopIPxHxAecAUxptM4V4R36AM4AZqqoikgu8BfxGVWfVbywi\nHhHpknjsBU4Edj/cr4VUvfEGseJiOl9xRVudst3JPm4ysS1bqPv66++te/ybx8nwZnDm4DOTENn2\nsn3ZXDjsQj5Y/wHflH2T7HCMJDJJWQubMLgrEcfls5Udb0LAlSXVbNxax4TBLfNL3zDaSqKP2DXA\nVGAJ8IKqfiMifxKR+rarR4DOIrICuAGonzbjGmAA8PtGU1/4gakisgCYR7ym7aE2eT2OQ9nDj+Af\nuj8Z4w5ri1O2S5lHHoWVnk7Fs89tt3xj9UamrpnKGQPPINuXGhdvP3//88n2ZXPf1/clOxQjiUxS\n1sLG9u1Eus9m5rdtPjK+1X2wNN4XxvQhM9ojVX1bVQep6n6qelti2e9VdUricUhVz1TVAap6kKqu\nSiy/VVUzGkx7MVpVi1W1RlUPVNWRqjpMVa9T1TaZHyc4fTqR1avpcvnlpoP/LtiZGeSefTZV77xD\nZMOGbcufWvwUgnD+0POTGN32Mn2ZXDL8Ej7e+DHzSzpuFxhj10xS1sL8HpvD9uvCB0tLOtxIzA+W\nFTOoIJMeufv2tfUMI5lUlbKHH8HbuzdZxxyT7HBSXt7FF4FtU/7oYwBsDW3lleWvcHz/4ynMKExy\ndNv78ZAf08nfidu/uJ2IE0l2OEYSmKSsFRw5JJ+NW+tYWVKd7FBaTHU4xuw15RxpaskMI6lqv/iS\n0IIFdL70UsRjBtrsjreggJyTTmLrK68QKy/n+WXPUxer4+JhFyc7tO9J96bz+0N/z6KyRfzli78k\nOxwjCUxS1grqm/dmLmu5oe/JNmtFKVFHTdOlYSRZ2UMPYXfpQs5ppyY7lHaj82WXoqEQmx5/mGeX\nPMsRPY9gYKeByQ5rh47uczRXjLiCl5e/zIvfvpjscIw2ZpKyVtAjN42BXTM7VFI2c1kxmX4PY/ua\nUZeGkSyhxYupmTWLvAsvxPKnzEUFUp5/v/1IP+pISp9+klhNNVePvjrZIe3S1aOvZlyPcfzli78w\nr3hessMx2pBJylrJhMH5fLm6vENMjaGqzFxWwuEDuuC1zT8Zw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l_idx = [1, 30, 40]\n", "fig, axr = plt.subplots(len(l_idx), 2, figsize=(10, 2.5*len(l_idx)))\n", "for i, idx in enumerate(l_idx):\n", " axr[i, 0].plot(atlas_ptns[:,:,idx].T), axr[i, 0].set_xlim([0, 63])\n", " axr[i, 0].set_title('col: {}'.format(idx))\n", " axr[i, 1].plot(np.abs(atlas_ptns[:,idx,:].T)), axr[i, 1].set_xlim([0, 63])\n", " axr[i, 1].set_title('sum over comp.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**particular coding of each sample**" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 3))\n", "plt.imshow(X_new[:20,:], interpolation='nearest', aspect='auto'), plt.colorbar()\n", "_= plt.xlabel('components'), plt.ylabel('samples')\n", "\n", "coefs = np.sum(np.abs(X_new), axis=0)\n", "# print 'used coeficients:', coefs.tolist()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**backword reconstruction from encoding and dictionary**" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "model applies by reverting the unmixing (200, 4096)\n" ] } ], "source": [ "res = np.dot(X_new, comp)\n", "print ('model applies by reverting the unmixing', res.shape)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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SdGLT8GKDj2L0nO89unHxrGStO8eVth1OMpqIrOfppgrqyDj5XHuLk5zrpo7Z6WHLPD0R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\nDwDQP2C2e/td8aLBf6Iry5zfBwCp3d4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uts.show_sample_data_as_imgs(res, img_shape, nb_rows=2, nb_cols=3, bool_clr=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "" ] } ], "metadata": { "signature": "sha256:d4215b10e3d82d9bebe1f8ffb6bcb8bf0258242871f8b37a3fd1da21cf8f0ad6" }, "nbformat": 4, "nbformat_minor": 0 }