{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysis of chemical similarity in `python` using `rdkit`\n", "\n", "This notebook shows simple examples of finding and comparing the chemical [fingerprints](http://rdkit.org/UGM/2012/Landrum_RDKit_UGM.Fingerprints.Final.pptx.pdf) of molecular structures using [`rdkit`](http://www.rdkit.org/docs/GettingStartedInPython.html).\n", "\n", "\n", "\n", "### Required libraries and modules\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# numpy and matplotlib\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import matplotlib.cm as cm\n", "\n", "# scipy\n", "from scipy.spatial.distance import pdist, squareform\n", "import scipy.cluster.hierarchy as hc\n", "\n", "# seaborn -- for better looking plots\n", "import seaborn as sns\n", "\n", "# pandas \n", "import pandas as pd\n", "\n", "# rdkit\n", "from rdkit import Chem\n", "from rdkit.Chem import Draw\n", "from rdkit.Chem import rdmolops\n", "from rdkit.Chem import Descriptors\n", "from rdkit import DataStructs\n", "from rdkit.Chem import rdMolDescriptors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Clustering molecules by fingerprint" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'c1ccsc1': 'thiophene', 'CC': 'ethane', 'c1ccccc1': 'benzene', 'CC(O)=O': 'acetic acid', 'C=CC(=O)N': 'acrylamide', 'CCO': 'ethanol', 'Nc1ccccc1': 'aniline', '[Na+].[O-]C(=O)C': 'sodium acetate', '[Na+].[Cl-]': 'sodium chloride', 'CCC': 'propane'}\n" ] } ], "source": [ "smiles_list = ['CC',\n", " 'CCC',\n", " 'CCO',\n", " 'c1ccccc1',\n", " '[Na+].[Cl-]',\n", " '[Na+].[O-]C(=O)C',\n", " 'c1ccsc1',\n", " 'CC(O)=O',\n", " 'C=CC(=O)N',\n", " 'Nc1ccccc1']\n", "\n", "names_list = ['ethane',\n", " 'propane',\n", " 'ethanol',\n", " 'benzene',\n", " 'sodium chloride',\n", " 'sodium acetate',\n", " 'thiophene',\n", " 'acetic acid', \n", " 'acrylamide',\n", " 'aniline']\n", "\n", "names_dict = {smiles: name for (smiles, name) in zip(smiles_list, names_list)}\n", "print names_dict\n", "\n", "mols = []\n", "fingerprints = []\n", "\n", "for smiles in smiles_list:\n", " mol = Chem.MolFromSmiles(smiles)\n", " mols.append(mol)\n", "\n", "fingerprint_mat = np.vstack(np.asarray(rdmolops.RDKFingerprint(mol, fpSize = 2048), dtype = 'bool') for mol in mols)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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CCCCCCCOc1ccccc1[Na+].[Cl-][Na+].[O-]C(=O)Cc1ccsc1CC(O)=OC=CC(=O)NNc1ccccc1
CC0.0000000.5000.6666671.00000010.8571431.0000000.8571430.9130431.000000
CCC0.5000000.0000.7500001.00000010.8750001.0000000.8750000.9200001.000000
CCO0.6666670.7500.0000001.00000010.5714291.0000000.5714290.9259261.000000
c1ccccc11.0000001.0001.0000000.00000010.9600000.8000000.9600000.9705880.684211
[Na+].[Cl-]1.0000001.0001.0000001.00000001.0000001.0000001.0000001.0000001.000000
[Na+].[O-]C(=O)C0.8571430.8750.5714290.96000010.0000001.0000000.0000000.8064520.980392
c1ccsc11.0000001.0001.0000000.80000011.0000000.0000001.0000000.9782610.892857
CC(O)=O0.8571430.8750.5714290.96000010.0000001.0000000.0000000.8064520.980392
C=CC(=O)N0.9130430.9200.9259260.97058810.8064520.9782610.8064520.0000000.983333
Nc1ccccc11.0000001.0001.0000000.68421110.9803920.8928570.9803920.9833330.000000
\n", "
" ], "text/plain": [ " CC CCC CCO c1ccccc1 [Na+].[Cl-] \\\n", "CC 0.000000 0.500 0.666667 1.000000 1 \n", "CCC 0.500000 0.000 0.750000 1.000000 1 \n", "CCO 0.666667 0.750 0.000000 1.000000 1 \n", "c1ccccc1 1.000000 1.000 1.000000 0.000000 1 \n", "[Na+].[Cl-] 1.000000 1.000 1.000000 1.000000 0 \n", "[Na+].[O-]C(=O)C 0.857143 0.875 0.571429 0.960000 1 \n", "c1ccsc1 1.000000 1.000 1.000000 0.800000 1 \n", "CC(O)=O 0.857143 0.875 0.571429 0.960000 1 \n", "C=CC(=O)N 0.913043 0.920 0.925926 0.970588 1 \n", "Nc1ccccc1 1.000000 1.000 1.000000 0.684211 1 \n", "\n", " [Na+].[O-]C(=O)C c1ccsc1 CC(O)=O C=CC(=O)N Nc1ccccc1 \n", "CC 0.857143 1.000000 0.857143 0.913043 1.000000 \n", "CCC 0.875000 1.000000 0.875000 0.920000 1.000000 \n", "CCO 0.571429 1.000000 0.571429 0.925926 1.000000 \n", "c1ccccc1 0.960000 0.800000 0.960000 0.970588 0.684211 \n", "[Na+].[Cl-] 1.000000 1.000000 1.000000 1.000000 1.000000 \n", "[Na+].[O-]C(=O)C 0.000000 1.000000 0.000000 0.806452 0.980392 \n", "c1ccsc1 1.000000 0.000000 1.000000 0.978261 0.892857 \n", "CC(O)=O 0.000000 1.000000 0.000000 0.806452 0.980392 \n", "C=CC(=O)N 0.806452 0.978261 0.806452 0.000000 0.983333 \n", "Nc1ccccc1 0.980392 0.892857 0.980392 0.983333 0.000000 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dist_mat = pdist(fingerprint_mat, 'jaccard')\n", "\n", "dist_df = pd.DataFrame(squareform(dist_mat), index = smiles_list, columns= smiles_list)\n", "\n", "dist_df" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lwFHvKprDz9kvXrzY0Zu4K02bNmXMmDHOjlFG6hl4YgJs/dbZSVwrC0ie8gSE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\nGwIDA++4MEZxio2NJSIigqtXr/Lss89Ss2ZNmjdvrlkegH379pGQkEB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# set a mask so that only the lower-triangular part of the distance matrix is plotted\n", "mask = np.zeros_like(dist_df, dtype = 'bool')\n", "mask[np.triu_indices_from(mask, k = 1)] = True\n", "\n", "# make the plot\n", "sns.heatmap(dist_df, \n", " mask=mask, \n", " annot=True,\n", " cmap = cm.viridis,\n", " linewidths = 0.25,\n", " xticklabels=names_list,\n", " yticklabels=names_list\n", " )" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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PHq24uDjDyYCjs2XLFr3yyivKy8uT2+1Wp06dNHz4cLVs2dJ0tAp+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\nAAAY8v8B+FWYl8klLPgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# use the distance matrix to hierarchically cluster the results\n", "z = hc.linkage(dist_mat)\n", "dendrogram = hc.dendrogram(z, labels=dist_df.columns, leaf_rotation=90)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lJaXU9UnLXgghhLCDI7vxExISaNPGOmpndHQ0v/76q+2x06dP4+/vz9KlSzl+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# find the order of leaves in the clustering results\n", "new_order = dendrogram['ivl']\n", "\n", "# reorder both rows and columns according to the clustering order\n", "reordered_dist_df = dist_df[new_order].reindex(new_order)\n", "reordered_names = [names_list[smiles_list.index(item)] for item in new_order]\n", "\n", "\n", "\n", "# plot again\n", "sns.heatmap(reordered_dist_df, \n", " mask=mask, \n", " annot=True, \n", " cmap = cm.viridis, \n", " linewidths = 0.25,\n", " xticklabels=reordered_names,\n", " yticklabels=reordered_names,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting the fingerprint and distance matrices for various fingerprint sizes" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def calc_fingerprint_mat(mols, fingerprint_size, show_plot=True):\n", " # Given a list of rdkit molecules of length m, and a fingerprint size n, calculate a m-by-n fingerpint matrix\n", " # :param: mols list of rdkit molecules\n", " # :param: fingerprint_size integer, must be a power of 2 for results to be meaningful\n", " # :param: show_plot boolean, whether to show the plots\n", " # :return: fingerprint_mat a boolean matrix of size m-by-fingerprint_size\n", " \n", " # calculate fingerprint matrix\n", " fp_tuple = (np.asarray(rdmolops.RDKFingerprint(mol, fpSize = fingerprint_size), dtype = 'bool') for mol in mols)\n", " fingerprint_mat = np.vstack(fp_tuple)\n", " \n", " if show_plot:\n", " f, axes = plt.subplots(1, 2, figsize = (12, 4))\n", " \n", " # construct fingerprint matrix plot\n", " sns.heatmap(fingerprint_mat, \n", " cmap = cm.viridis,\n", " yticklabels=names_list,\n", " ax = axes[0]\n", " )\n", " axes[0].set_title('Fingerprint matrix with size %s' % fingerprint_size)\n", " \n", " # construct distance matrix\n", " dist_mat = pdist(fingerprint_mat, 'jaccard')\n", " dist_df = pd.DataFrame(squareform(dist_mat), \n", " index = smiles_list, \n", " columns = smiles_list)\n", " \n", " # plot distance matrix\n", " if show_plot:\n", " mask = np.zeros_like(dist_df, dtype = 'bool')\n", " mask[np.triu_indices_from(mask, k = 1)] = True\n", "\n", " # make the plot\n", " ax2 = sns.heatmap(dist_df, \n", " mask=mask, \n", " annot=True,\n", " cmap = cm.viridis,\n", " linewidths = 0.25,\n", " xticklabels=names_list,\n", " yticklabels=names_list,\n", " ax = axes[1]\n", " )\n", " axes[1].set_title('distance matrix with size %s' % fingerprint_size)\n", "\n", " \n", " return fingerprint_mat" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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0bejQoYwfP56wsDDS0tKYNm0aen3W3yPLli0jMjKS8uXLExwczMGDB5k+fTo/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\n0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shPP/1EUFCQ0nz4d1cVNzc35dkAnTt3ZseOHZpkAxQUFODv78/u3bvp2bMnd+7cUT7G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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "foo = calc_fingerprint_mat(mols, fingerprint_size=8)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UqcOaNWv4+uuv6dmzJ/Xq1SuJ7gohzJgBXYEeTyJzjdnXExNwc3A0brs7OnI3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\n7RGzRcIuCIJgB7JynMPepUsXDh8+zIABAwBYsGABO3bsQKfT0aBBA77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SypuRHVHK5cRl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\ndS8tcFwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "foo = calc_fingerprint_mat(mols, fingerprint_size=16)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EBN7d9G/T4+WhhxncsDHlXFyISnyyUXadPvd2jQbjE8UTQuSNlvO2dnuWi7//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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "foo = calc_fingerprint_mat(mols, fingerprint_size=32)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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TZlR0dSU66eFm2XVWubdrNBgfKp4QomC0nLe127Nc/PXXXwDEx8eTnJyMh4cH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\nkrALIYQQQghRhv0/5La3w2YSijwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "foo = calc_fingerprint_mat(mols, fingerprint_size=64)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9+eabb9i0aRM6nY4uXbrQp0+foj4dQgiNMyrt3h6sMBTnnN2qSlWORUdxNTEB\ngG9OHOW/r/fNUbDb6PXU8/BgcOOmVC3jxpWEeKb/sYsbyY9+j+kmLzXk9MHzRF2KAeDnT7ew7Og8\nKdiFKCRaztvFpmAHSE9PZ+XKldy8eZPu3btjMpl4++238fHxISQkhOeff56goCCio6N5/fXX2bFj\nB2lpabzyyis0adKEefPmsWbNGpo3b46/vz/t27cnJiaGoKAgAgMDAWjYsCHjx4/no48+YtOmTbRt\n25b//ve/fPfddyileOONN/D19aVatWpFezKEEJqm5S8vFZbimrM9XVy4kXS38I5KTsbJxhZHGxvz\ntJgKTs7suxrBnL27uZIQz6BGTVnm/wpd13zzyOerglc5Yq/dNC/HXbuFg4sD9k72Mi1GiEKg5bxd\nrAr2Z599FoBy5crh6urKxYsXqV69OgAXL17klVdeAaBixYq4uLhw8+ZNbGxsaNKkCQDPPPMMu3fv\npnPnzqxcuZKtW7fi5OREVlaWuY26desC4OnpSVxcHGfPniUyMpJ+/fqhlCIpKYkrV65IwS6EeCAt\n3x6ssBTXnK3X5T3KZjQp89+vJyUy6Of/mJdXhB1mWLMWVHZxITLp0UbZdfq82zUZTY8UTwiRP1rO\n29rtWR7++usvAOLi4khOTqZcuXLo/pdYvb29OXToEADR0dEkJiZStmxZMjMzOXPmDABHjhyhVq1a\nfPXVVzRq1Ig5c+bQqVMnlLqbhHV/S9TVq1enVq1arFq1iq+//pqAgADq1KlTGIcrhCjGTOjy9VMS\nFdecHZmUSAUnZ/NyJWdnEjIyyDDe/aBQp1x5XqlTN+eOOsgyPXpxHRMRRznPsubl8k+6k3w7GUO6\n4ZFjCiEenpZzdrEaYY+NjaV///4kJyczZcoUJk+ebF735ptvMn78eLZs2UJGRgbTpk1Dr8/+PLJ8\n+XIiIyOpXLkyo0aN4siRI0yfPp3Nmzfj4uKCjY0NBoMhV+IH8PHxoUWLFvTq1QuDwUDDhg2pWLFi\noR2zEKJ4MqhilV4torjm7N0RVwj2bU2VMmWISEjg9acbsv3i+RzbmJTigxfacCjyGpFJSfSp35DT\nsbHEpKQ8wpnKFrr1OEPm9sWzRkVuXIzG/80O7Nt4+JHjCSHyR8t5W6fuHarQsA0bNnDp0iXefffd\nfO3Xtm1btmzZgo2NjYV6llsHffdCa6uk2xJ5jI6VGxZ1N0Qptc209pH3XXK6bb62f8dn5yO3pUXF\nKWcD1Fjd86q3AAAgAElEQVQ0P8fyC1WrMe65Vljr9UQkJDB66y9ULVOGme1eMs9T71rbh/9r2gyd\nTkdUcjLv79hCVHJyrtgXh49+6PeFph2fYdCs3ljZWHHjQjQh/RaTkpD6wH22mdYSG/voX3b9Jx4e\nLgAWb6O4xwc5R/8UHyx/jh5HfvJ2Yeds7X6UKCA6nY5i8plECFGCaPn2YFqmlZz9x5XL/HHlco7X\nTsbG5PhS6cazp9l49nSBtnt4y1EObzlaoDGFEA9Hy3m72BTs3bp1e6T9duzY8c8bCSFEAdPyAzgK\ng+RsIURxo+W8XWwKdiGEKE6MJfSLpEIIUVJpOW9LwS6EEBZQkCM1SimmTJnCmTNnsLW1ZcaMGXh5\neZnXb9y4kZUrV2JlZcWrr75Kr169CqxtIYQoLQoqb1siZ0vBLoQQFlCQIzXbt2/HYDCwZs0ajh07\nxqxZs1i6dKl5/Zw5c/jll1+wt7enS5cu+Pv74+LyeF++EkKI0qag8rYlcrYU7EIIYQGZpoJLr6Gh\nobRq1QrIfrLnyZMnc6z38fEhISHBfJvDvG53KIQQ4sEKKm9bImdLwS6EEBZQkA/WSE5OzjH6Ym1t\njclkMt+3vFatWrz22ms4OjrSoUMHnJ2d7xdKCCHEfRRU3rZEzpaCXQghLKAgH3Ht7OxMyj0P5Lk3\n8Z85c4Zdu3axc+dOHB0dGTNmDFu2bKFjx44F1n5pcHH4aIvGf5x7+j+Mx73/tBbaKO7xC6ON4h6/\nsNp4VAWVty2Rs6VgF5omD016ePKQKW0xqYIbYW/cuDG//fYbnTp14ujRo9SuXdu8zsXFBQcHB2xt\nbdHpdLi7u5OYmFhgbZcWzX4db7HYBzvNpN/BgRaL/+9mX1j0gX13PmwU94f2lISHAhX3+KDtBycV\nVN62RM6Wgl0IISygIB/A0aFDB/bu3UtgYCAAs2bNYtOmTaSlpdG9e3d69OjB66+/jq2tLVWqVHnk\ne6ALIURpVlB52xI5Wwp2IYSwgIIcYdfpdHz44Yc5Xqtevbr574GBgeY3BiGEEI+moPK2JXK2FOxC\nCGEBJg0/4loIIURuWs7bUrALIYQFZJq0m/iFEELkpuW8LQW7EEJYQEE+6VQIIYTlaTlvS8EuhBAW\nUJBPOhWF43mPOgyt9RLWeivOJ0Ux/eSPpBkNObbxdq7I6Lov42xth1GZmB3+E2cSI5n1TC+ecHAH\nsuevVnYoy5Fblxgb9o1539tHb3H1h8uYjApHLye8B9XCyt7KvD52Tww3fr1uXjamZmG4baDxwmbY\nuNpweOh+bN3tzOsrd3mS8i098nWMzfwaM2BGL2xsrbl4PIL5gz4lPSU9XzGEKKm0nLe1+1Einw4f\nPszZs2cB8PX1tUgbwcHB7NmzxyKxhRAli0np8vVT2mgtZ5excWTi068xNuwbeu75mMi027xTu1OO\nbez01ixq+garLv1O3z8/4YsLv/Fhgx7ZbR39jr5/fkLfPz9h5skNJGWmERL+k3nfzKRMLi4/R+2R\nT/FMSBPsPeyJWHM5R3wP3wo0mN6IBtMbUf/DZ7ApY0v1ft7YuNqQdiMNa2cb8/oG0xvlu1h3LefC\nmC/+jymvzmVgvVFEXY5hcEjvfMUQoiTTcs4uMQX7+vXriYmJKepuCCEEkH1pNT8/pY3WcnaL8rUI\nT7hKZNptANZHHKDT355r0Lx8La6l3mR/3DkA9sSeZvzR73JsY6XTM7n+v5h/ahNxGXfvN51w4jZO\nNZyxr2APQMV2lYj78/7Hf/3nq9iUsaHCi5UASDqXiE4H4TNPcHz8Ea79JwJlUvk6xiYvNeT0wfNE\nXcpu9+dPt9D29Vb5iiFESablnF0sp8RkZWUxefJkIiIiMJlMtG/fnt27dxMeHo63tzcGg4ExY8YQ\nGRlJ2bJlWbRoEXFxcUyePJnMzExiYmIYOXIk7dq1o2vXrjRr1owzZ86g0+lYunQpzs7OhISEEBoa\nik6nw9/fn6CgoKI+bCFEMVJQj7guCYpDzq5oX4bo9ATzckx6Ao7WdjhY2ZqnxVRxLM8tQzIT6nWj\nlqsniZlpLDnza444AU8+S0xGIrtjT+d4PeOWAbtyd6ez2LrbYUwzYkw35pgWA9mj8Td+jaTB9Gfu\nvmhSlKlflqq9qmM0GDkzLxwrB2s8O1Z+6GOs4FWO2Gs3zctx127h4OKAvZO9TIsRAm3n7WJZsK9d\nuxZ3d3dmzJhBfHw8ffr0oVWrVnTp0gVPT09SU1MZPXo0np6eBAUFER4eTnJyMgMHDuTZZ58lLCyM\nJUuW0K5dO5KTk3n55ZeZOHEiY8aM4Y8//sDR0ZHr16/zww8/kJWVRe/evWnevHlRH7YQohgxlsJp\nLvdTHHK2Tpf378ukTOa/W+v1tCxfm/87uIJTiddp5eHDx0368fLvczD+b7vAas8x4+SGvALl3W4e\nA3Uxv0Xh3sQdu/L25tfujLQDWDtY49mpMlHbbuSrYNfp73OMRlOerwtR2mg5bxfLgv3s2bOEhoZy\n7NgxAIxGI7dv3zavd3Nzw9PTEwAPDw/S09Px8PDg008/Zd26dQBkZmaat69bty4Anp6eGAwGbty4\nQZMmTQCwtramQYMGnD9/vlCOTQhRMmSZrP55o1KiOOTsqLR4ni7jZV6uYF+GpMw0MkxZ5tdiM5K4\nkhLLqcTsL4bujj3NBJ2eJxzdiUiJo5aLJ3r0HL19OVd8u3J2JF+4O0XGcCsDaydr9La5/53cPBBH\ntb41crwWuzcGpypOOHo5AaAAnVX+iouYiDh8mtUyL5d/0p3k28kY0g0P2EuI0kPLebtYTpysUaMG\n/v7+rFq1iuXLl9OxY0fKlSuHyZT3KIFSioULFxIQEEBISAjNmzdHqfvP/fP29iY0NBTIfpMICwvL\n8YQqIYT4JyZ0+fopyYpDzj4Qd556ZZ403+mlm1cz/og5lWObP2PP4ulQltou2R8uGpWthkIRmZr9\n4aOxe3UO37qQZ/wy9cuSfCGJ9Og0AKJ3RlG2cblc22WlZJEenYZLLdccr6ddS+Xqj9nz1k0GI9Hb\nblCuRfl8HWPo1uP4NK+FZ42KAPi/2YF9Gw/nK4YQJZmWc3axHGHv2bMnkyZNIigoiJSUFHr16oWn\npyfz58/niSeeyLGtTqdDp9PRuXNnQkJC+Pzzz6lQoQLx8fHm9fduC/Diiy9y4MABAgMDyczMxM/P\nzzyiI4QQD6M03vnlfopDzo7PTGHqyfWENHoda50V19JuMeX4WnxcKzO+Xjf6/vkJtwzJjD3yDe/V\newUHK1sMpizGhX1DljIC4OVYjhtpt/OMb+Nqg/eQ2pxddBplVNhXsMf7zdokX0rm4hfnaDC9EQDp\n0WnYlrXNNX3lyW5eXFp1kePjw1BGRbnm5anQulJeTd1XQlwi8wYsZfK6MVjZWHHjQjQh/RbnK4YQ\nJZmW87ZOPWjYQjySDvruRd0FUQptiTxGx7/d1UI8nm2mtY+8b88/38rX9t+3/OyR2xKPr9mv4y0W\n+2CnmfQ7ONBi8f/d7AuLvu/c+X8QG5v0D1s+Og8Pl2IfH+Qc/VN8sPw5ehz5yduFnbOL5Qi7EEJo\nnZZHaoQQQuSm5bwtBbsQQlhASZ+XLoQQJY2W87YU7EIIYQFaHqkRQgiRm5bzthTsQghhAVmmYnkT\nLiGEKLW0nLelYBdCCAvQ8kiNEEKI3LSct6VgF0IIC9DyXEghhBC5aTlvS8EuhBAWoOWRGpHbwU4z\nLRr/382+sGj8x7kF6cN63FvmlfT4hdFGcY9fWG08Ki3nbSnYhRDCArSc+IUQQuSm5bwtBXsRK8yH\n3ciDdUo2+d1qi5YTv8jNFFXbYrH1lc4W+/hg2YcCbjOtlYcCPUQbxT0+aPvBSVrO21KwCyGEBRg1\nfLcBIYQQuWk5b0vBLoQQFqDlLy8JIYTITct5Wwp2IYSwAC1fWhVCCJGblvO2FOxCCGEBSsOJXwgh\nRG5aztvanawjhBDFmEnp8vUjio/xs2Dl98U3viXbaObXmM/C5vLFXx8x4btR2DvZF3wjQliIlnO2\n5gv2DRs2sGDBgqLuhhBC5ItSunz9lBQlOWdfvAJvjIItvxfP+JZuw7WcC2O++D+mvDqXgfVGEXU5\nhsEhvQu+ISEsRMs5W/MFuxBCFEcywl7yfLsBXvWDTi8Wz/iWbqPJSw05ffA8UZdiAPj50y20fb1V\nwTckhIVoOWcXiznsYWFh9O/fn5SUFN555x0cHR356KOPsLKyokqVKnz44Yf8/PPP/P7776Snp3P1\n6lUGDx5MQEAAQ4cOJTk5GaUUYWFhrFy5EldXV6ZPnw6Am5sbM2fOJDw8nOXLl2NjY8O1a9fw8/Pj\nrbfeIioqikmTJpGRkYG9vT3Tpk2jYsWKRXxGhBBaZyzFRXhJzdkTR2b/+efhAglX6PEt3UYFr3LE\nXrtpXo67dgsHFwfsnexJT0kv+AaFKGBaztvFomB3dHRk2bJl3Lp1i+7du2NjY8O3336Lu7s7Cxcu\nZMOGDVhbW5OcnMyKFSu4cuUKb731FgEBASxduhSABQsW0LRpU5o2bUrPnj2ZOXMm3t7erFu3juXL\nl/P8889z48YNfv75Z9LT02nVqhVvvfUWISEh9O3bl1atWvHnn38yd+5c5s2bV8RnRAihdSVpmkt+\nSc4unXT6vP/Nm4ymQu6JEI9Gy3m7WBTsTZo0AcDd3R17e3uuX7/OyJEjUUphMBh47rnnqFKlCnXr\n1gXA09MTg8Fg3v/LL7/k9u3bTJs2DYALFy7w4YcfApCVlUXVqlUBqF27NjqdDgcHB+zts78oc/bs\nWZYtW8by5ctRSmFjY1Noxy2EKL5K8zQXydmlU0xEHD7NapmXyz/pTvLtZAzphgfsJYR2aDlvF4uC\n/fjx4wDExsaSkZHBk08+ydKlS3F2dmbnzp04OTkRGRmJTnf3RCulAFi7di1Hjhxh8eLF5nU1atRg\nzpw5VKpUiSNHjhAXFweQY/87vL29GTBgAM888wwXL17k8GELXqsUQpQY/0tBpZLk7NIpdOtxhszt\ni2eNity4GI3/mx3Yt1HOvyg+tJy3i0XBnpGRQb9+/UhLS2P69OmYTCaGDBmCyWTCxcWFkJAQIiMj\nc+yj0+mIi4tjypQpNG7cmH79+gHQs2dPpkyZwtixYzEajej1embMmEF0dHSebY8dO5YpU6ZgMBjI\nyMhgwoQJFj9eIUTxp+VLq5ZW0nN2Hp8TilV8S7WREJfIvAFLmbxuDFY2Vty4EE1Iv8X/vKMQGqHl\nvK1TSsufJ4qnDvruD73tlshjdKzc0IK9KZq2hCgJtpnWPvK+9TdOztf2J7p++Mhticdniqptsdj6\nSmeLfXzI33tbfm0zrSU2Nsli8T08XCweHyj2x1ASztHjyE/eLuycXSxG2IUQorjR8lxIIYQQuWk5\nb0vBLoQQFmAyaTfxCyGEyE3LeVsKdiGEsAAtz4UUQgiRm5bzthTsQghhAQX55SClFFOmTOHMmTPY\n2toyY8YMvLy8zOuPHz9OSEgIAOXLl2fu3LnY2toWYA+EEKLkK6i8bYmcrS+gvgkhhLiHUrp8/TzI\n9u3bMRgMrFmzhtGjRzNr1qwc6z/44ANmz57N6tWradWqVa47sAghhPhnWs7ZMsIuhBCWUIBD7KGh\nobRq1QqAhg0bcvLkSfO6S5cu4ebmxldffcW5c+d48cUXqVatWsE1LoQQpUUB5W1L5GwZYRdCCAso\nyBH25ORkXFzu3q7M2toakyn7ce+3b9/m6NGjBAUF8dVXX7Fv3z4OHDhg0WMTQoiSSMs5W0bYhRDC\nAgryCRfOzs6kpKSYl00mE3p99niLm5sbVapUoXr16gC0atWKkydP0rx584LrQClw517jEv/+Hue5\nBA/jce+hXdTxC6ON4h6/sNp4VAWVty2Rs6VgL2KF+SAjeWiSEIVHmQruAmbjxo357bff6NSpE0eP\nHqV27bsPyfHy8iI1NZWrV6/i5eVFaGgo//rXvwqs7dKiuD/YqDAenGTpNor7g5lAHpz0T/FB2w9O\nKqi8bYmcLQW7EEJYQEGOsHfo0IG9e/cSGBgIwKxZs9i0aRNpaWl0796dGTNm8O677wLQqFEjWrdu\nXXCNCyFEKVFQedsSOVsKdiGEsIQCLNh1Oh0ffpjzMdh3LqcCNG/enLVrLTtdQQghSrwCytuWyNlS\nsAshhAVo+QEcQgghctNy3paCXQghLKEgn5wkhBDC8jSct6VgF0IIC9DySI0QQojctJy3LXIf9t27\ndxMcHAzA8OHDLdGEma+vb67XlixZwvfff/9Q+58+fZqlS5fmev3dd9/l0KFDj90/IUQppfL5U4Qk\nZ+fP+Fmw8uG6q8n4hdGGJeM382vMZ2Fz+eKvj5jw3Sjsnewt05AofTScsy3+4KRFixZZuonH4uPj\nw9ChQ4u6G0KIkkbp8vejEZKz7+/iFXhjFGz5vXjGL4w2LB3ftZwLY774P6a8OpeB9UYRdTmGwSG9\nLdOYKH00nLMfOCXm8uXLBAcHY21tjVKK+fPnU7FiRUJCQggNDUWn09GlSxf69u3LhQsXmDBhAo6O\njtjb21OmTBkgezRlz549BAUFMXXqVKpXr86aNWuIi4ujW7dujBo1ikqVKhEZGYmfnx/nzp3j1KlT\ntG7dmlGjRuXoz9q1a1mzZg1KKdq2bcs777yDwWBgzJgxREZGUrZsWRYuXJhjn3v76u/vT1BQEMHB\nwdy+fZuEhAQGDhzIf//7XxYsWMDq1atZt24dHh4e3Lp1C4CsrCwmT55MREQEJpOJESNG0KxZs4L8\nHQghSqIiGIGRnG3ZnP3tBnjVDypXLJBwhR6/MNqwdPwmLzXk9MHzRF2KAeDnT7ew7Og8Fr/zhWUa\nFKVLcZ3DvnfvXho2bMjYsWM5dOgQSUlJnDp1iuvXr/PDDz+QlZVF7969adGiBQsWLGDEiBG0bNmS\n5cuXc/HixYfqwLVr1/jqq69IS0ujXbt27NmzBzs7O9q0aZMj+d+6dYsVK1bw888/Y2try4IFC0hN\nTSU1NZXRo0fj6elJ3759OXXqlHmfXbt25errnSdJtWzZkn79+nHw4EF0Oh03b95k1apVbN68GYDX\nXnsNyH7DcXd3Z8aMGcTHx9OnTx82bdqUv7MshCh9imAERnK2ZXP2xJHZf/55uEDCFXr8wmjD0vEr\neJUj9tpN83LctVs4uDhg72RPekq6ZRoVpYeGrnb+3QML9u7du/P5558zcOBAXF1dGTlyJBcuXKBJ\nkybZO1tb06BBA86fP8/ly5epX78+kP2Epwclf3XPnem9vLxwcnLCxsaG8uXL4+KS/ZQqnS7nSbt6\n9Sq1a9fG1tYWwHzDeTc3Nzw9PQEoX7486el3/8Per6+Q836YABEREdSuXRtr6+xTcudYzp49S2ho\nKMeOHUMphdFoJD4+Hjc3twedOiFEKVeQD056WJKzJWeXdDp93gWVyWgq5J6Ikqgo8vbDeuAc9u3b\nt9O0aVNWrlxJx44dWbFiBTVr1iQ0NBSAzMxMwsLCqF69OjVr1iQsLAyAEydO5IplZ2dHbGwsAOHh\n4Xm2px5wpry8vLh48SKZmZlA9hejoqOjH3hw9+srgF6f89CrVq3KuXPnMBgMGI1Gcx+9vb3x9/dn\n1apVrFixgk6dOkniF0L8syL40qnkbMnZJV1MRBzlPMual8s/6U7y7WQM6YYi7JUoMTT8pdMHjrDX\nr1+f9957j08//RSTycT48eOpW7cu+/fvJzAwkMzMTPz8/Khbty7vvfce7733Hl9++SXu7u7mUZU7\ngoKCmDJlCpUrV6ZixbuT2+4dlfn7CM293N3dGTx4MH369EGn09G2bdsccfLav3Xr1nn29UHxe/bs\nibu7O05OTgD06NGDSZMmERQUREpKCr169XrQKRNCiGxFcGlVcrbk7JIudOtxhszti2eNity4GI3/\nmx3Yt9GCc4hE6aLhKTE69aAhEvFIOui7F3UXhBAFYJspf4+Ovle1z+fma/vLQ8Y+clvi8Zmiaj/0\nthNmQ63q0L/nw22vr3RWU/Hz24a+0lnA8ufoYd87m3Z8hkGzemNlY8WNC9GE9FtMSkLqA/fZZlpL\nbGzSw3XmEXh4ZE8Ns3QbxT0+WP4cPY785O3Cztny4CQhhLAEDY/UiMcz4/3iHb8w2rBk/MNbjnJ4\ny1HLNSBKLw3nbSnYhRDCEuTapRBCFC8azttSsAshhCVoOPELIYTIg4bzthTsQghhCRpO/EIIIfKg\n4bwtBbsQQliChudCCiGEyIOG87YU7EIIYQE6DY/UCCGEyE3LeVsKdiGEsAQNJ34hhBB50HDeloJd\nCCEsQMsjNSK3O/cal/hF18bjPPfgYTzuPbq10EZxj19YbTwqLedtKdiFKCG2RB6jY+WGRd0NcYeG\n50KK3P597jmLxe5Xax8/XmhksfiveodRbdVsi8W/3Df7puqR1ytbrI3KT0Tm++FP+ZGfBzM9ijsf\nNor7g41K+4OTtJy3pWAXQghL0PBIjRBCiDxoOG9LwS6EEJag4cQvhBAiDxrO21KwCyGEBWh5LqQQ\nQojctJy3pWAXQghL0HDiF0IIkQcN520p2IUQwgJ0pqLugRBCiPzQct6Wgl0IISxBw3cbEHk7f8jA\nrn+nYsyCCtWt6DLcGVuHnL/HM/sy2P1tGjorsHfS0WW4M26VrAAI3ZzOsa3pZGVCJW8ruoxwxsr6\n7v6nDxrZ8m8DxiyoVE3PayNtsftb/L/2ZbF9dSZ6PTg463h1uC3unnpMJsXGTzO5dMKITgd1mlrR\neaBtrmNo84Q34xq1xkav53R8LOP2/ZfUrMwc20xo0pbOVesQn5EGwMXEWwzfvZFPXgigqosbADqd\nDi/nMuyPisixr51dO1zLvA/YkpV5ivj4d1EqNcc2Tk4DcHTqj1JpZGWdIyF+AkolAODo1A9Hx17o\ndHZkZp4g/va7QNZD/obuGj8LateA/j3zves/aubXmAEzemFja83F4xHMH/Qp6SnpBd+Q0B4N5229\nJYPv3r2b4OBgAIYPH27JpvLl8OHDnD17//vJGgwG1q617P1ghRAlnMrnj0aU1rydmmBi08JkXpvo\nwpufueFWUc/OlSk5tskyKDYuSOZfE10YuNCNWs1t2bose5vT+zII3ZzO6zNdGbLUjSwDHPzP3SIv\nJUGx/uMMgiba8e4yB9wr6fj1y5yFdKZB8cM8A0GT7Bi22AGf5lZs/MwAQNhOI3HXTYz6zIHhS+y5\neMLEyT05C92ydg7Mec6PIbvW037jCq4mx/N+4xdzHWtjj8oM++Mn/DevxH/zSobv3gjA23/8x/za\n+3/+QkJGOhMPbDXvp9e741Z2AbduDiQ2pjVZxghcXSfmiG1r+xxOzv/Hzbh/ERfbkYz0nbiVnQOA\nvX1nnJz6czOuO7ExbdDp7HB2HpKfXxMXr8Abo2DL7/na7aG5lnNhzBf/x5RX5zKw3iiiLscwOKS3\nZRoT2qPhnG3Rgv1eixYtKqym/tH69euJjo6+7/qYmBjWrVtXiD0SQpQ0OpW/Hy0qTXn7UlgmlWtZ\nU/Z/o+WN/ez5a5chxzam/10uT0/J/oUZ0hTWdtkjcid3ZtA8wB57p+y31U5Dnajf1s6877kjRp6s\nrcfdM3t9cz9rju7KWXArc3z+Fx9s/hdfmcCQDpkZikwDGLMU1rY5RwNbVa7OsbgbXE3OHs3+5kwY\nATXq5djGRq+nnntFBtdrxn/932Bp6wA8HXPeu9pap2f+81348NB2YtKSza/b2bUm03AUozF71D01\n5d84OHbLGd+2PoaM3ZhMMdnHkv4L9vbtASscHP9FcvIylMq+D3dCfDCpqfn7nX27AV71g04v5mu3\nh9bkpYacPnieqEvZ/f/50y20fb2VZRoTmqPlnP1QU2IuX75McHAw1tbWKKWYP38+FStWJCQkhNDQ\nUHQ6HV26dKFv375cuHCBCRMm4OjoiL29PWXKlAHA19eXPXv2EBQUxNSpU6levTpr1qwhLi6Obt26\nMWrUKCpVqkRkZCR+fn6cO3eOU6dO0bp1a0aNGpWjP6tXr2br1q2kp6dTtmxZlixZgtFoJDg4mMjI\nSDIzM/nggw+oV68ekydPJiIiApPJxIgRI3BycmL37t2Eh4dTq1YtduzYkSPW4sWLWbZsGRcuXGDp\n0qX07duX8ePHk5CQnQAnTJhA7dqWe7iDEKKEKOIiXPJ2/vJ2YpwJV4+7Y1gu5fQY0hSGNGWeFmNr\nr6PTUGf+PSYBR9fsaSp952afq1uRJlLiFWsmJ5J8y4RXPRvavuFojpcQpyhzT/wy5XVkpEFGmjJP\ni7G11/HK27Z8+m46jq46lEnx1jx7ABq3t+LE7ixmBaVhMkGtxlb4NLPKcQyVHV24kZpoXr6RmoST\ntS2O1jbmaTEVHVzYG3WFkCO7uJIUz+CnmrG8zWv4b15p3i+wVkOiUpPZfu18jvhWVpUxGq+bl43G\nG+h0zuh0juZpMZmGMJycBqC3qozJGImDYyBgi15fFmvrGljpy+Ne7hus9BXJMBwgMWH6A38vfzdx\nZPaffx7O124PrYJXOWKv3TQvx127hYOLA/ZO9jItpjTQ6OAJPGTBvnfvXho2bMjYsWM5dOgQSUlJ\nnDp1iuvXr/PDDz+QlZVF7969adGiBQsWLGDEiBG0bNmS5cuXc/HixYfqyLVr1/jqq69IS0ujXbt2\n7NmzBzs7O9q0aZMj8SuliI+P59///jcAAwcO5MSJExw7downn3ySBQsWEBERwa5duwgPD8fd3Z0Z\nM2YQHx9Pnz592LRpE61ataJLly5UrFgxV6yTJ0/y1ltvce7cOYYOHcq8efN47rnnCAwM5MqVKwQH\nB/Ptt9/m9zwLIUqZoh41l7ydv7yt7vNlM90916FjLmex57vU/02ZseLQz2msn5HEoMVumLIUl44a\n6P6BK9Y2sHFBMr+vSqX9YKcHxtffEz/qsomd32Xy7uf2lK2oZ9/GTL6ZkcHwJQ7sWJ2Jk5uOid85\nkNfA4WIAACAASURBVJkBq6ZmsGdDJr7dbO7G0uU9/9ao7v5jvJaSwMCdd0e1l4cfZFiD53jCyZXr\nKdnF/ht1m/L+n7/kdTbyjK/uOTiD4SBJSQtwd/8SMJKasgaTKR6lMtHprLGza8WtW/1RyoBb2UW4\nlnmPxIQP8z45RUCnz/sYTUYNfxtRFJiiztsP8lAFe/fu3fn8888ZOHAgrq6ujBw5kgsXLtCkSZPs\nINbWNGjQgPPnz3P58mXq168PQOPGjR+Y+NU9ScTLywsnJydsbGwoX748Li7Zl+h0f0tAOp0OGxsb\n3n33XRwcHIiJiSErK4tLly7RunVrAKpUqULfvn358MMPCQ0N5dixYyilMBqNxMfH/2Ose509e5YD\nBw7w3//+F6UUiYmJCCHEPyrixC95O39529VDT+TZu3PKk26asHfWmaekAFw6kolXPRvcKmaPbDft\nYs+OFamkJZlwdtdTp6UttvbZ2z/9oh1716SZ9y1TQcfVM3eLvoQ4hYMzOeKfO2Kk2lN6ylbMruJb\n+FuzeXkmqUmKv/YZ6TrUFr2VDjtHaNzemr/2GvG9Z0bK9ZREnilf2bzs6ehCgiGdDOPd81PHzYO6\nZSvwn0t/3T2n6Mj833yfp8pWwEqn51DMtVznyGi8jo1tY/OylZUnJlMCcHfkWadzxJCxn7TU7wHQ\n68vh4joOpRIwGqNJS/8VpbLPS1rqelxcR+b+ZRShmIg4fJrVMi+Xf9Kd5NvJGNIND9hLlBgaLtgf\nag779u3badq0KStXrqRjx46sWLGCmjVrEhoaCkBmZiZhYWFUr16dmjVrEhYWBsCJEydyxbKzsyM2\nNhaA8PDwPNu79w3h786cOcP27dtZsGABkyZNwmg0opSiZs2aHD9+HICrV68yevRovL298ff3Z9Wq\nVaxYsYJOnTpRpkwZdDodRqPxvrH0ej2m/yUvb29v+vfvz6pVq1i4cCFdu3Z9mFMmhCjldKb8/RQ0\nydv5y9vVG9tw/UwWt28YAQj7JYPazXPehaViTWsiTmSSEp/dzpk/DbhV1OPgosfneVtO7TWQZVAo\npTj7/+zdd3gU1frA8e/MlvQQEkijmdBFQEDFhojCBYGrKKIgBFDBi/4uiIAg0pUi1atwEUGkK4iC\ncilSLICCgkiVHiCREpKQQvq2+f2xZJNIwJRdsgnv53nywO6eec/M7ObNu2fPnvnFRFi9vDGxus11\n/HnCypVL9m33bLJw5/1/mdJSW+XMERvpKfZzeXSXlcohCt5+CuF1VA7vsO+b1aJx7BcrNRoU/BO+\n8+JZ7q4STk1f+0ovL9S7m61/nirQxqZpjLuvLdV8/AHoVb8Zx5LjHXPVW4bUZFdcTKHnKCdnO0Zj\nM3S6WgB4+0SRnb25QBtVF0qVKl+hKPZPFnz93iAray0AWVkb8PLqDNjn9nt6dcBkOlhoX2Vl35ZD\nNGhZl7DIEAA6/6sdu9a5aP6NcDtlmbP/TpFG2Bs3bsyIESP46KOPsNlsvP322zRs2JBffvmF7t27\nYzab6dixIw0bNmTEiBGMGDGCTz/9lMDAQIzGggkvKiqK8ePHEx4eTkhIiOP+/CMyfx2dya9WrVp4\ne3vzwgsvoGkawcHBxMfH8/zzzzNy5EiioqKw2WyMGjWKOnXqMGbMGKKiosjIyKBHjx4oikLTpk2Z\nNWsWs2bNKjTW3XffjdlsZubMmQwYMIC3336blStXkpGRwcCBA4t7joUQ4paTvF28vO1TSaXzYF++\nmpyGzQqVQ1X+OcSXS6ctbJydzssfBHBHEwMtu3qxfORV9Abw9FV4doz9U4UWnTzJTtf4dHAqms2+\nrGPbfj6O+L6VFLq+4cGKSTlYLRAUptJtqJELp2ys+TCHgbO9qN1UxyNd9SwYkY3OAN5+Cr3H2ovb\nzq8YWfeRiVn/ykJVofbdOlo/W/BPeFJOFm/u2sC8R59Gr6rEpKUw9Kf13BUYwnsPPEHnDYs5lZrI\nuD1bWfjYs6iKQlxmmmOVGIA7/Ctz/tqXVv/KZksiJfkNAgM/AUWP1RJDcvIgDIbGVAqYQWJCe6yW\nM6Slz6ZK1Q2Agsm0h9SUUQBkZixGVStRNfhbQMVsPszV1PF/+9wU5iYvt1JJTbzKjJfmMu7LYegM\nOi5FX2Zqn9mu6UyIYlC0mw2LiBJpp3Yr610Qt6HNFw/SPrxpWe9GhbLVVvJlAuu/836x2p8Y+8bf\nNxIus+TUgy6L3afuLtZEN3NZ/Gdq7+eOpe+5LP653m8BcPFC+N+0LLnwahexxbluQQc19KRL/zbn\n5oqEhDSX9VG1ql+5jw+uP0elUZy8fatztlw4SQghXMCdv7wkhBDieu6ct6VgF0IIV3DjxC+EEKIQ\nbpy3pWAXQghXcOPEL4QQohBunLelYBdCCBdw5kermqYxfvx4Tpw4gdFoZNKkSdSoUeO6dmPHjiUg\nIIAhQ4Y4r3MhhLhNOCtvuyJnF2lZRyGEEMXjzGUdt23bhslkYuXKlQwdOpQpU6Zc12blypWcPHnS\nRUcjhBAVnzvnbCnYhRDCFbRi/tzEvn37aNWqFQBNmzblyJEjBR7fv38/hw8fpnv37k49BCGEuK24\ncc6WKTFCCOEKTpwSk56e7riKKNivUmqz2VBVlYSEBObMmcPcuXPZuHGj8zq9zfSpu8ul8Z+pvd+l\n8XOXXnSl8GoXXRpfDXXtJ0SlWaa1qEq7rGBFj3+r+igxJ+VtV+RsKdiFEMIFnDmH3dfXl4yMDMft\n3MQP8O2335KSkkL//v1JSEggJyeHyMhIunTp4rwdEEKI24Cz8rYrcrYU7G7IVRfAkQvrVGzl9bmt\nsK9LJxbszZs354cffqBDhw4cOHCAevXyLjATFRVFVFQUAGvXruXs2bNSrJeAqy/aU97jA4w69IzL\n+pjUZE2FOEeuvjiTXDipaH2UmJPytitythTsQgjhCk4s2Nu1a8fPP//smO84ZcoU1q9fT1ZWFt26\nyZWVhRDCKZyUt12Rs6VgF0IIF/i7VQSKFUtRmDBhQoH7IiIirmv39NNPO69TIYS4zTgrb7siZ0vB\nLoQQLuDOl7gWQghxPXfO21KwCyGEK7hx4hdCCFEIN87bUrALIYQruHHiF6Xz9hSoFwl9ny+f8Z3V\nx6V9aRz5/DI2i0almp7c82o4ei9dgTYXfr3K0dXxKKqCwUfHPQPC8QkxlnLvy885Ksx9HZvz0qQe\nGIx6zhyKZWa/j8jOyHZuJ6Jk3Dhvu82Fk0wmE6tXr2bOnDmsWrXquscHDRpU7JgjR47kp59+csbu\nCSFEsSjF/ClvbsecfSYGXnwDNm8vn/Gd2UfOVQu/fXSBB96sSfv/1MUn2MjhFZcLtLGabOyZfYEH\n36xJ22m1Cb/Hj/2fXipVv+XpHBXGP8iPYQtfZfwz03m50RvEnYun/9Sezu9IlIg752y3KdgTEhL4\n8ssvb/j4hx9+eAv3RgghSsmJVzp1R7djzv5sLTzTETo8Wj7jO7OPywfTCazjhe+10fLI9pWJ3Zla\noI127Qt8pkwrAJZsGzpj6cqO8nSOCtPiH005vuc0cWfjAfjfR5t57IVWzu9IlIwb52y3mRIzb948\nTp8+zeHDh3n44YfZtGkTqampvP766zz66KM8/PDD/PTTTxw9epSJEyei0+nw8PBg4sSJWK1WXn/9\ndYKDg4mLi+ORRx5h8ODBAKxcuZIFCxaQnp7O+PHjady4McuXL2f9+vUoikKnTp3o1asXI0eOxGAw\ncOHCBRITE3nvvfdo2LAhmzZtYsmSJeh0Olq0aMGQIUPK+EwJIcoDd/7ykjPcjjl7tH0X2f2b00Le\n0vjO7CPzihmvIIPjtnegAXOWDUuW1TEtRu+p0rx/GD+MOouHnw7NBo9OvH6ljOIoT+eoMME1gkg4\nf8VxO/F8El5+Xnj6eMq0GDfgznnbbUbYBwwYQJ06dXjttdcICQlh8eLFjBw5ks8//7xAuzFjxjBu\n3DiWLVtGjx49mDx5MgAXL15k6tSpfPnll/zyyy8cPXoUgLvuuoslS5bQq1cv1q5dS3R0NBs3buTz\nzz9nxYoVbN26lbNnzwJQvXp1Fi5cSK9evVi1ahWpqanMmTOHJUuWsGLFCuLi4ti9e/etPTFCiPLJ\nVsyfckZy9m3uBoWNouZNFkiNzebYlwm0/08dOn1cnwbPVGH39D9v0Q66p/znJz+btRwmgYrIjXO2\n24yw59eoUSMAqlSpQlZWVoHH4uPjqV+/PgD33nsvs2bNQlEUGjRogJ+f/QpXTZo0cST0v8Y6efIk\nFy9epE+fPmiaRlpaGrGxsQA0bNgQgNDQUH7//XdiYmJISkqif//+aJpGZmYmsbGxPPDAA64/CUKI\ncs2dR2qcTXL27ce7ioGkU3nPdWaSGaOvDp1H3jjg5YPpBDXwxifYPm2mdvtADi6Ow5RmwejnluWH\ny8XHJtLgvrqO21WqB5KenI4p21SGeyVyuXPedpsRdlVVsdnsb1kU5cbT+UNCQjhx4gQAe/bs4Y47\n7kDTNE6fPk1OTg5Wq5VDhw5Rp06dQmNFRkZSt25dli5dyrJly3j66acdf0z+2rZ69eqEhYWxaNEi\nli1bRq9evWjatAJeQl0I4XwVfA675OzbW0gTX5JOZZEeZy80z2xNJvyegpeFD4jwIvFoBtmpFgAu\n7EnDJ8R42xbrAPu2HKJBy7qERYYA0Plf7di1zoXze0TxuHHOdpvfmqCgICwWCzk5OTdt9+677/Lu\nu++iaRp6vZ5JkyYBYDAYeP3110lMTKRDhw6OhP5X9evX5/7776dHjx6YTCaaNm1KcHBwoW0DAwPp\n27cvPXv2xGazUb16dTp27Fi6AxVC3BbceaTGGW7nnH2T9yflIr4z+vCopOee18LZPeNPNKuGT4iR\newdWIzk6i30fX6TttNoE3+VDvSersH3cOXQGBYOvjgeH13SL/S+rPlITrzLjpbmM+3IYOoOOS9GX\nmdpntvM7EiXiznlb0TTNjXevaC5cuMDQoUNZuXJlWe8KAO3UbqXafvPFg7QPd/6okKviClEa7vy6\n3GpbXeJtm732frHa75/7Ron7Km/cLWcD2OLquSy2Gnqy3McHGHXoGZf1ManJmgpxjkr79/9mttpW\nk5CQ5rL4Vav6uTw+cEv6KKni5O1bnbPdZoRdCCEqEnceqRFCCHE9d87bFaJgr1atmluN1AghRHmc\nl36rSM4WQrglN87bFaJgF0IId6PIKm1CCFGuuHPeloJdCCFcwY1HaoQQQhTCjfO2FOxCCOECSvn/\nPr8QQtxW3DlvS8EuhBCu4L55XwghRGHcOG9LwS6EEC7gzqsNCCGEuJ47520p2IUQwhXcOPGL6+Wu\noy3xb2xSkzUujV8RzlFprt1QFKVdZ7ys49+qPkrMjfO2FOxuyFUXkXHXi9MI53DnCxDdTHnc56Jw\n55Eacb0lpx50Wew+dXexJrqZy+I/U3s/dyx9z2Xxz/V+C4CLF8Jd1kd4tYsuv7CRqy9qBK6/AFd5\nvzATuPeFk9w5b0vBLoQQLuDOy4MJIYS4njvnbSnYhRDCFdx4pEYIIUQh3DhvS8EuhBAu4M4frQoh\nhLieO+dtKdiFEMIV3Hg9XyGEEIVw47wtBbsQQriAO4/UCCGEuJ475+1yXbCvWLGCnj17snPnTuLi\n4ujWzXnfnp4yZQovvvgioaGhjvvOnDnDuHHjWLZsmdP6EUJUUG6c+MuKu+fs03tN/LgkE6sFgiN0\ndBrki9FLKdDmxK4cdn6WhaIDTx+FToN8CQjVAbBvQzYHt2RjMUNobR2dXvdFp8/b/vgeK5uXmLBa\nIPQOla6DjXj8Jf4fuyxsW2FGVcHLV+GZQUYCw1RsNo11H5k5e9iKokD9e3Q88bLxumNoU602w5u1\nxqCqHE9JYPiujWRazAXajGrxGE/Uqk9KTpb9PF1NYtDOdfz3kS7U8gsAQFEUavhW4pe42ALbeng8\njn+ltwAjFvMxUlKGoGmZBdr4+LyEt09fNC0Li+UUqSmj0LRUALx9+uDt3QNF8cBsPkxK8hDAUqTn\nJ7+3p0C9SOj7fLE3/Vv3dWzOS5N6YDDqOXMolpn9PiI7I9vp/VSEY6hw3Dhvq2W9A6Xx0UcfAdCq\nVSunJn6AkSNHFkj8uRRFKaS1EEIUpNiK93M7cOecnZlqY/0H6XQd7ce/5gUQEKLy/eKMAm0sJo11\ns9J5drQfL38QQN2WRrZ8bG9zfFcO+zZk88Jkf16ZG4DFBHu+ziuQMlI1vvpPDlGjPRjysReBoQrf\nflqwkDabNL6YYSJqjAcDZ3vRoKWOdfNMAOz/3kriBRtvzPNi0BxPzhy2ceSngoVuZQ8vpj3YkVd+\n/Iq26z7hz/QU3mr+6HXH2rxqOAN3fEPnDYvpvGExg3auA+D/dnztuO+t3ZtIzclm9K9bHNupaiAB\nlWeRdOVlEuJbY7HG4u8/ukBso/FBfHxf5UrisyQmtCcn+3sCKk8DwNPzCXx8+nIlsRsJ8W1QFA98\nfV8p0vOT60wMvPgGbN5erM2KzD/Ij2ELX2X8M9N5udEbxJ2Lp//Unk7toyIcQ0Xlzjm7zEbY09PT\nGT16NGlpacTHx9OzZ0+6d+/OwYMHmTJlCpqmERISwowZMzh37hwTJ04EICAggMmTJ7N8+XJSU1N5\n5513aNy4MWfOnGHo0KHMnTuX7777DpvNRo8ePXjuueeK3ef06dPp168f77zzDr6+vgwbNgyAKlWq\nlMm5EkKUPxWtCK/oOfvsfjPhdfVUvjZa3ryjJ58MTKXDq3ltbNee0+wM+zCcKUtD72F/Q3Dk+xxa\ndvHE08c+DtbhNR9s1rxtT/1upXo9lcAw++MtO+r58N/ZPPV/eaPkmiM+1+KD4Vp8zQambDDnaNhs\nYLVo6I0F34y0Co/gYOIl/ky3j2YvP7GfTf98ibF7tjraGFSVRoEh9G90H3f4VeZcWjLv7v2OS5l5\na2PrFZWZD3Viwt5txGelO+738GiN2XQAq9U+6p6ZsYSqwdtITX07L76xMaacndhs8fZjyd5EQOXp\ngA4v72dJT/8YTbP3lZoykuKWIZ+thWc6QnhIsTYrshb/aMrxPaeJO2vf//99tJmPD8xg9r8XOq2P\ninAMFZU75+0yK9hjY2Pp3Lkzbdu2JT4+nqioKLp37864ceN4//33iYiI4KuvvuL06dNMmDCByZMn\nU7t2bb788ks++eQTBg8ezPLlyxk7dixr165FURSOHTvGTz/9xFdffYXFYmHmzJkl6jM6OtoxKjNv\n3jw6d+5Mt27d2LhxIytXriyL0yWEKG/c+MtLJVHRc/bVRBv+VfM+dPYLUjFlaZiyNMe0GKOnQofX\nfFkyLBVvf/s0ld7TKwGQdNFGRorGynFXSU+yUaORgcde9HbES03UqJQvfqUqCjlZkJOlOabFGD0V\nnvo/Ix8NycbbX0GzaQyY4QlA87Y6Du+0MCUqC5sN6jbX0eA+XYFjCPf241LmVcftS5lp+OiNeOsN\njmkxIV5+/BwXw9TffyQmLYX+d97HgjZd6bxhsWO77nWbEpeZzrbzpwvE1+nCsVovOG5brZdQFF8U\nxdsxLcZs2o+Pz0uounBs1ot4eXcHjKhqZfT6SHRqFQKDlqNTQ8gx/crV1IlFen5yjR5s/3f3b8Xa\nrMiCawSRcP6K43bi+SS8/Lzw9PF02pSSinAMFZYb5+0yK9iDgoJYsmQJW7ZswcfHB4vF/tFeYmIi\nERERAHTt2hWA6OhoJkyYAIDFYqFWrVqFxjx79ixNmjQBQK/XM2LEiBL3mevcuXOOEZ8WLVpIwS6E\nKBJ3/vJSSVT0nK3dYGRNyTdxNP6chZ8+z7w2ZUbH3v9l8dWkNPrNDsBm0Th7wES3sf7oDbBuVjrb\nl2bStr/PTeOr+eLHnbPx/edmhsz3pHKIyq51ZpZPymHQHC++W2HGJ0Bh9OdemHNg6Ts5/LTWzMNP\nG/Ji3WD6jzVfEXI+I5WXv//ScXvB0T0MbPIg1Xz8uZBhL/ZfbHgPb+3eVNjZKDS+lu/gTKY9pKXN\nIjDwU8BKZsZKbLYUNM2Moujx8GhFUlJfNM1EQOUP8a80gqupEwo/OWVAUQs/RpvVjYde/6IiHENZ\ncee8XWZz2BctWkSzZs2YNm0aHTp0QLuWUIKDg4mNtX/ctmDBArZt20ZkZCTTpk1j6dKlDBs2jDZt\n2hQaMzIykj/++AMAs9nMSy+9hNmcN0ewOH3mqlOnDvv37wfg0KFDTj4LQogKSyvmj5ur6Dnbv6pK\nelJeQZN2xYanr+KYkgJw9nczNRoZCAixj2zf08mTxFgrWWk2fANV6j9gxOipoOoU7nrUgwvH8+aY\nVwpWSLuS90SnJmp4+VIg/qnfrdxxp0rlEPuf5vs767kco5GZpvHHLiv3/EOPqlPw8FZo3lbPmUMF\nC7ALGVcJ8fJ13A7z9iPVlE2ONW8/6gdUpUtEowLbKSiYr833ubNyMDpFZW/8+evOkdV6AVWX9z0B\nnS4Mmy0VyBu1VRRvTDm/kJjQgcSETmRnbwRA01KxWi+Tlf0tmpYFWMnK/AqjscV1/ZSl+NhEgsIq\nO25XqR5IenI6pmxTGe5V8VSEYygzbpyzy2yEvU2bNkycOJENGzbg5+eHXq/HbDYzYcIERo4ciaqq\nBAcH07dvX8LCwnjzzTexWq2oqsqkSZMAqF27NsOHD+fBBx8EoEGDBrRq1Yru3bujaRo9evTAYDCU\nqM+lS5cCMGDAAIYNG8bGjRupXr36rT9RQohyyZ1HakqioufsiOYGvvs0g+RLViqH6di/KYd6LQuu\nwhJSR8++DdlkpNjwCVA5sdtEQIiKl59Kg4eMHPvZxN3tPdEZ4OQvJsLq5f2Jrdtcx6ZPTFy5ZCMo\nTGXPJgt33v+XKS21VXavt5CeouEboHB0l5XKIQrefgrhdVQO77AS2ViH1aJx7BcrNRoUHHPbefEs\no1o8Rk3fAGLTU3ih3t1s/fNUgTY2TWPcfW3ZG/8nFzKu0qt+M44lxzvmqrcMqcmuuJhCz1FOznb8\nK41Fp6uF1RqDt08U2dmbC7RRdaFUCfqC+PjWaFoGvn5vkJW1FoCsrA14eXUmM+MzIAdPrw6YTAeL\n/BzdCvu2HOKV6b0Jiwzh0pnLdP5XO3atc9HcFRepCMdQVtw5byua5sYTdsqpdqpzVz8Qoig2XzxI\n+/CmZb0bFcpW2+oSb9uqy/Ritd/59Zsl7kuU3pJTDxK9z8QPizOxWaFyqMo/h/iSHGdj4+x0Xv7A\nvtzhvo3Z/Pa/bPQG8PRVaP+qD1Vq6NFsGj+vyuLoThOazb6s4xP/ti8L2afuLtZEN+PEb1Y2L7Yv\n6xgUptJtqJGkSxprPsxh4GwvAH7ZYGb3Ogs6A3j7KTz5qpHgmiqZaRrrPjJxMdqGqkLtu3V06mdA\n1Sk8U3s/dyx9D4DW4RGMaP4oelUlJi2FoT+tp6ZfAO898IRjnvqTEXfy2l33oyoKcZlpDN+1ibhr\nXzqdcF87LmemM/fIbse5Odf7LQAuXgjHw+NR/P1HgaLHaokhOXkQen0tKgXMIDGhPWBfutHH50VA\nwWTaQ2rKKMAEKPj6vY6X11OAitl8mNSU4WhaJuHVLmKLq1fk52vUe1A3ouhLIqqhJ4v8t/me9nfT\nb0pPdAYdl6IvM7XPbDJSM2+6TW6uKO/HkJCQdtM2pVG1qh/ALemjpIqTt291zpaC3QWkYBdlQQp2\n5ytNwf7Ik8Ur2Hesk4K9LC059aDLYucW7K6Sv2B3hfwFu6sUt2AvruIUuyVRkoK9uG7FMdzuBXtx\n8vatztnl+sJJQgjhrtz5o1UhhBDXc+e8LQW7EEK4gs2NM78QQojruXHeloJdCCFcwYl5X9M0xo8f\nz4kTJzAajUyaNIkaNWo4Hl+/fj1Lly5Fr9dTr149xo8f77zOhRDiduGkvO2KnF1myzoKIURFpmjF\n+7mZbdu2YTKZWLlyJUOHDmXKlCmOx3Jycvjwww9Zvnw5n332GWlpafzwww8uPjohhKh43Dlnywi7\nEEK4ghO/z79v3z5atWoFQNOmTTly5IjjMaPRyMqVKzEa7UsQWiwWPDw8nNa3EELcNpyUt12Rs6Vg\nF0IIF3Dml5fS09Px88tb/UCv12Oz2VBVFUVRCAwMBGDZsmVkZWU51jkXQghRdM7K267I2VKwCyGE\nCyhO/PKSr68vGRkZjtu5iT+XpmlMmzaNmJgY5syZ47R+byd96u5yafxnau93afzcpRddKbzaRZfG\nV0NPujR+aZZpLaryfgylXRbRXfooKWflbVfkbCnYhaggZA12N2P7+yZF1bx5c3744Qc6dOjAgQMH\nqFev4FrPY8aMwdPTk7lz5zqv09vMrphIl8V+sNYZ9sbe4bL499Y8x8HYGn/fsISa1vwTgCsXXXe1\n76Dw8y5fw3z8kadcFn/8Xd8AcPViTZf14R8e6/JjuBVr1bvzOuzOytuuyNlSsAshhAsoTpzD3q5d\nO37++We6d+8OwJQpU1i/fj1ZWVk0atSINWvW0KJFC6KiolAUhd69e9O2bVun9S+EELcDZ+VtV+Rs\nKdiFEMIVnDiHXVEUJkyYUOC+iIgIx/+PHj3qvM6EEOJ25aS87YqcLQW7EEK4ghNH2IUQQtwCbpy3\npWAXQggXcOdLXAshhLieO+dtKdiFEMIV3HikRgghRCHcOG+X64J97dq1nDlzhqFDh5Zo+8TERObO\nncvYsWML3D9z5kxq165Nly5dnLGbQojbkGJ138Rfltw5bx/8VeGrRTosZqgeqfHSECueXgXbbPta\n5bt1KkZPCK+hETXQirdv3uNX4mHSYD3vzLPg619w2/2/qqz+1B6/RqRG/6GW6+Jv+Vpl6zodRg+o\nVlOjz78t+PiByQRLZus5c0JB06B2A42+Ay0YjAW39/N8jLCAESiKgWzTcf5MGoZNyyzQpopvX4L8\n+mDTssgxn+ZC0hisWiqq4kuNoOl46OsACskZX5KQNq/Atj/v1vHxJwbMFoU6kTZGDs/B+y/HQWG5\nVAAAIABJREFUsHqNnq++NuDpqXFHTY2hg3Pw84VR4z24cFEB7HXRpUsqze62MnViTlGengLengL1\nIqHv88XelAv70jm0IgGbRSOglgf3vRaGwavghd///DWNI6sSUVQw+uq479VQfEPyTnZGopmtI2N4\nYlYEHn66Atv+tFtl7icGzBaoE2ljzHDzdedo1Rodq7/W4+kJd9S0Mfx1M/5+YLPBtA8M/H5QRVHg\noZZWBg2w3NL9L4r7OjbnpUk9MBj1nDkUy8x+H5GdkV3sOO7GnfO2+vdN3JuiKCXetkqVKtclfSGE\ncAqtmD+3EXfM22mp8OlMHf8eZ2HyQgtVQzVWf1LwT+SxAwqbVquMmG5hwlwLje+1sej9vGLn560K\n7w3Vk5JUePwFM/QMHm9m2qdmqoZqrFxQcMzs6AGFDV/oeXu6mUkfmWlyr42F79vbfPOZDpsVpsw3\nM2W+GVMOrFtZsNDSqZWpETSDcwn9OXHpMUyWWMIC3i7QxsfjAar6DyD68vOciuvI1awfqB70HgCh\nAcMwWy5xMq4dpy53JsgvCm/j3Y5tU1Jh8nQPprybw+dLsggLszH344LvGPbtV/lslYE572ezeH42\n97e08N4M+1UcJ43PYfF8+/1vDTPh56cxbLCpKE+Pw5kYePEN2Ly9WJs55Fy18Ot/L9FqeDU6fRiJ\nT7CBg8vjC7Sxmmz88uFFWo2oRocZEYTf48u+hZcdj5/9MZXvxsSSnWL5a3hSUuHd6UamvWti9ZIc\nwsM0Zn9sKNDmt/0qy1bpmfd+Dsvn5/BgSxuTZ9rP48YtOmLPK3yxOIfPPslh30Ed32/Pex26ev+L\nwj/Ij2ELX2X8M9N5udEbxJ2Lp//UniWK5XbcOGeXyQh7eno6o0ePJi0tjfj4eF544QUaNWrE5MmT\n0TSNkJAQpk+fTr9+/QgKCiI1NZXAwECefPJJWrduTXR0NNOmTeOJJ55wxJw1axZ//PEHycnJNGjQ\ngMmTJzNnzhxiYmJITk4mJSWFnj17snnzZmJiYpg6dSpBQUEMGTKEVatWsXnzZubNm0dgYCAmk4na\ntWs74u7btw+r1Urfvn3p0KFDWZwyIUQ548xlHd1BRc/bR/YpRNTXCA6z327T2cbYAXqiBuYtzBxz\nWuHO5hoBQfbbLR7WWPS+gtUKaSlwYLfKkEkWRr1y/Z/Ww/tUajewOeK3/aeVt/9lpO+gvDbnTqk0\nam6j8rX49z5sY+EsPVYrNGxio0qI/TWlKFCrjsaFmIJvfPw8W5NpOoDJGgtAYvoy6odt5kLyaEcb\nb2Nj0rN/wmKzF3mpWZuoETQN0HExeTxgj2nQhaJixGrLWzN7z14ddzawUi3cvh9PP2mhTz+vAkX3\niVMq9zS3UiXI3ubRVlbem+6BxQr6a+8vLBaYOMWDwf82UbVK8X5PPlsLz3SE8JBibeZw6WAGQXU8\n8Q21F8h121dm09Cz3NM/1NFGu/aUmzLs/7Fk29AZ7UVzVrKFC3vTeXRUdTa+cfa6+L/s1XFnAxvV\nr52jZ5+08kI/D0YMNjvaHD+lcl9zG1WuPc+PtbIyaboBi9U+wp6drZCdY/+/2QzGfO+JXL3/RdHi\nH005vuc0cWftr6H/fbSZjw/MYPa/F5Yonjtx57xdJgV7bGwsnTt3pm3btsTHxxMVFYW3tzezZs0i\nIiKCr776iujoaABHu19//ZXPP/+c1q1b89VXX9GtWzfS0uyJJCMjg0qVKrFw4UI0TaNTp07Ex9tf\nSF5eXkyfPp358+ezY8cO5s2bx5o1a9iwYQO9e/dGURQsFgtTp07l66+/xt/fn1deeQWAHTt2cP78\neVasWIHJZOK5557j4YcfxtfXt/ADE0KIXG6c+EuiouftpASFwKp5z1lgFcjOsv/kTluJrK+x7RuV\nK/EQFAw7N6tYrZB+FQKC4P/GWu0NC3nqr8QrBFalQPysv8ZvYGPLNwZH/O3fqliuxb+reV7QxMuw\neY2OfkMKjpAadGGYLZcct83WS6iKL6ri7ZgWk2k6QBW/vva21ksE+jyPggG9WhmLLRHQqBH0HwK8\nOpKa9S05lmhHvMsJKsH5zlFwVY3MLMjMwjHl484GNr5cY+ByvEJIsMb6TXosVriaCteuxs66DXqq\nVNVo9ZD1ps9JYUYPtv+7+7dib2o//kQL3lXyRry9gvRYsm2Ys2yOaSV6T5V7+oey9e0YPPx0aDaN\ndpNq2dtX1vPwm9WAwn/FLycohPzNOWrUwMYXawzExSuEBmus26TDYoXUVOjcwcq27To6dfPEaoP7\n77Hx8AN5bxpdvf9FEVwjiITzVxy3E88n4eXnhaePZ/mfFuPGebtMCvagoCCWLFnCli1b8PHxwWw2\nk5CQ4FijsmvXro62ufe1bNmSiRMnkpSUxK5duxg6dCjr1q0DwMPDg8TERIYOHYq3tzdZWVlYLPZE\ndueddwLg7+/vGH3x9/cnJydvzlxSUhKVKlXC398+4bBZs2YAnDx5kj/++IPevXujaRpWq5Xz58/T\noEEDV54eIURF4MQrnbqDip63tRs8X/muJk69xhpP9bIye7weVafRqr2Gjx/oi/CX9EZ1QP74DRpr\nPN3LwvvjDagqtG5vxfcv8c+eVPjPBAP/6GKl6X0Fd1pRCp/lquV7MWbk7CEu9T/cUfUT0GwkZazC\naktB0/JGgP+8MpjzylvcUWUBIf6D8+Lc4Bzp8nV7dxMbL/Ux89ZoD1QddH7Cgr8f6PPNCvniKwNv\nDSv+vHVnuNHzkP/UpcTmcGR1Ip0+jMA32MjJjUnsnH6BJ2ZGFL5xPrYivI6aNbHRr4+FN0cbUXXw\n5LVzZDDA/MV6AgM0tqzNJjsHho028tlqHS90s96S/S8KRS18SpvNWgGSnhsfQpkU7IsWLaJZs2Z0\n796dX3/9le3btxMcHExMTAy1atViwYIFjoSv5nuVP/XUU0yaNImHHnoInS5v7t6OHTuIi4vj/fff\nJykpiW3btqFpuR8d/v1cyaCgINLS0khOTqZy5cocPnyYsLAwateuTcuWLXnnnXfQNI25c+dSs6br\nLjsshKg43Pmj1ZKo6Hk7KFjjzPG8/U5KBB9fMHrktcnOgvqNNVq1t7+xuJoMa5ao+BThauhBwRrR\nx/OO60bxGzSx0bqDvWpITYYvl+CIv/sHlSVz9PQdaOH+R6+vLEyWC3gbmzluG3RhWG2paFreqKeq\neJOR8yvJGV8AoFeDCK00DKuWiq/nI2SbjmOxxaNp2aRkfkMlr7wpTCHBNv44llc2xCco+PmCR75j\nyMyCu5tY6fyE/RwlJcOCT434XzuGk6ftn0rc3aRsKiOfKnqunMxy3M66YsHgo0PvkffcXzqQTtWG\n3vgGX5t20qEyvy+KJyfN+rdf0AwN1vjjWF6s3HPk+Zdz1LyJjSefsL9pSUqGeZ8a8PeDH3/S8eYg\nMzod+HhDp39Y+X5nXsHu6v0vivjYRBrcV9dxu0r1QNKT0zFlF+/7CO7InfN2mXzptE2bNqxYsYKo\nqCiWLFmCXq9n/PjxvP3220RFRXH8+HFat259XdJ++umn2bx5M926dStwf9OmTfnzzz+Jiori9ddf\np0aNGo6PVotCp9MxZswYXn75ZV566SXHKE+bNm3w9vamZ8+edO3aFUVR8Pb2Lv0JEEJUfJpWvB83\nV9HzdqMWGmdOKMRftN/+cYNKswcKPi8pV+C9YXqyri26su4ztdDCuTCNW9g4fVzl8rX4363X0eLB\ngtsmX1GYNMzoiP/1Cj0PtLEXant2qCybq2fEe+Yb9pmWvQNvj7sx6u3TH4J8e5GataVAG70uhNrB\nX6AqPgCEVHqd5MyvAQjw7kxIJfuIuoKRAO/OpOf87Nj2vnutHD2mcv6C/Tn+5n96Wj1UcFpOYqLC\nv9/wJOPaMSxeZqTtY3lt9h9QadGs+FNhnCW0qQ9XTmWRFmcvLk9vTaH6vQWnSwVGeBL/RybZqfb9\nPv9rGr4hhiIVu/ffa+VIvnO05n86Wv9l6k9CosK/3jA6ztHCZQbaP25v06CujW0/2vuxWGDHLh2N\nG+Y9367e/6LYt+UQDVrWJSzS/kWCzv9qx651JZyj5G7cOGcrmlYO/lJcc/nyZd566y0WLVpU1rty\nU+3Ubn/fSAjh9rbaVpd42/bNxhWr/eb9E/6+UTlUXvL2rphIDu9VWL1Qh9UKwWEa/Ydbib8Ii/6j\nZ8Jce/Hz/Tr7so6aBnXv0uj1f9brllZ8qYOeD7/IW9bxwVpn2Bt7Bwf3Kqz6RO+IP2CEhfiLCp+8\nr2fSR/YpKVvXqWz9Rgca1LvLvqyjwQjD+hrIzFCoXEWzz5FXoF4j++P31jzHwdgaAPh5PkpYwFso\n6MmxxBJ7ZTAe+lpUD5rKqbiOAAT59qaKXx9AISNnLxeSxqBhQlV8qR74Hp6G+oCN1KxvuZz6Pk1r\n/gnAlYvV+WWPjo/mG7BYFKpVszFmZA4XLqi8N9PI4vn2kfyvvrYv66hp0KSxlaGDTI4vTs78wEiV\nII0+vfKm4AAEhZ/HFlevyM/XqPegbkTRl3VUQ08y/shTAFzcn87B5fZlEf1Cjdw/KIz0ODN7PrpE\nhxn2T4lOfZvMyU3JqAYFD18dLfqFUKm6R4GYK7sd5+lP6+Lhp2P8Xd8AcPViTXbtUZkz34DFAtWr\naUwYaeL8BYVJM40sn28fVV/9tX1ZR02Dpo1tDB9kxmiE1Ksw/UMDJ06p6HRwb3Mbg1+1j7j7h8cy\n/shTLtl/gPF3fVPk+uWe9nfTb0pPdAYdl6IvM7XPbDJSM2+6TW4+TUhIu2m70qhatQgfd91EcfL2\nrc7Z5aZg37p1K7Nnz2bChAmOuYruSgp2ISqG0hTsHe4u3tKD3x54p8R9uavylLd3xUS6LHZuwe4q\n+Qt2V8hfsLtKcQv24spfsLtC/oLdVXILdlcpTsFeEuWhYC9O3r7VObvcXDipXbt2tGvXrqx3Qwgh\niqZ8jIW4lORtIUS54sZ5u9wU7EIIUa64ceIXQghRCDfO21KwCyGEK7hx4hdCCFEIN87bUrALIYQr\nuPF6vkIIIQrhxnlbCnYhhHABd17PVwghxPXcOW9LwS6EEK5QEa76J4QQtxM3ztvlZlnH8kSWdRSi\nYijNso5P1BtRrPabTk4tcV9CCCFKrzh5+1bn7DK50qnIs/niwTLv61bugxAldStep7l9OKWvCnal\nUyGEqPDcOGfLlBghhHAFKcLLFVdftKe8xwd45Ls3XdbHjsenu/wYXH1RI4DNZ+90WR/tI466/Bgy\nLtVyWXyfsBjAtbMQSvOpKODWeVsKdiGEcAWb+yZ+IYQQhXDjvC0FuxBCuILmvl9eEkIIUQg3zttS\nsAshhCu48WoDQgghCuHGeVsKdiGEcAU3ngsphBCiEG6ct6VgF0IIV3DjxC9K5+0pUC8S+j5fPuOX\npo/7gxrwSu0nMKg6otMvMfXYarKspgJtIn1CGVT/KXx1nlg1GzNPrOFk2gUUFAbX78LdAZFowC9X\njjPv9IZbuv8AP+1WmfuJAbMF6kTaGDPcjLdXwTar1uhY/bUeT0+4o6aN4a+b8fcDmw2mfWDg94Mq\nigIPtbQyaIClwLZ//Krxv8U2rBYIj1B44Q0FDy+lQJuDP2tsWm5DVcHbD3oMVgkKVchM0/hijsb5\naA0PL2jZTuGRJwsu6Ofq/QfYuVtlzid6zGaoW1tj3JtmvL0Ltlm5RscXa3V4ekJELY0R+fqY+oGe\nfQdVFOCh+20MLqSPm7mvY3NemtQDg1HPmUOxzOz3EdkZ2cWKUSJunLdvq2UdExMTeeeddwB47LHH\nMJlMzJ8/n8OHD5fxngkhKhxZ1rHU3C1nn4mBF9+AzdvLZ/zS9lHJ4M1bdz7HqENLiPplBpeykhhQ\np1OBNkZVz4xm/Vhx7gf67f2AJee2MbpRDwDah7WghndV+vw6k5d+nUWzgEhaV218y/YfICUV3p1u\nZNq7JlYvySE8TGP2x4YCbX7br7JslZ557+ewfH4OD7a0MXmmEYCNW3TEnlf4YnEOn32Sw76DOr7f\nnldKpadqfPa+jX5jVUYt0BEUCt8sLPj7bTZpLJtuo/84leH/1dGopcKXH9mnYqz52F6oj/5Ex5D3\nVY7u1fhjT972rt5/gOQUmDDNwMx3zaxZaqJaqMYH8wuO7+7dr7J0pZ6P/2PiswUmHrzPysQZ9v3Y\nsEUl5k+FLxebWLnQxL4DKt9tL3q56R/kx7CFrzL+mem83OgN4s7F039qzyJvXypunLNvq4K9SpUq\njB07FgBFsb/bfeWVV2jcuHgJQwgh/pbNVrwfcR13y9mfrYVnOkKHR8tn/NL2cW9gPY6l/sml7CQA\nvr6wm7YhzQq0uS+wPhcyr7A3yb4U5K7EY4w7vAwAFQVPnRGjqsdDZ0Cv6smxmW/Z/gP8slfHnQ1s\nVA+3F1zPPmnl2226Am2On1K5r7mNKkH224+1srJzl4rFav9Vzc5WyM6BHBOYzWA05tv2d42a9aFK\nmP31+nAnhX0/FCzucn/dM9Pt/5qywGC0t//ztMa9j9v/r9MrNLpP4cBPedu7ev8BfvlNpVH+Pp6y\nsGnrX/o4qXBfCytVc/t4xMaOXSoWC1htClm5feQU3sfNtPhHU47vOU3c2XgA/vfRZh57oVXRA5SG\nG+fsCjElJj09ndGjR5OWlkZ8fDwvvPACGzdupGHDhpw6dYqMjAw++OADbDYbQ4YMYdWqVY5tR44c\nSadOnUhISGD79u1kZ2fz559/0r9/f7p06cLJkyeZOHEiAAEBAUyePBlfX9+yOlQhRHkho+Y3VF5z\n9ujB9n93/+aUcLc8fmn7CPYMID4nxXE7ITsVb70HXjqjY1pMde8qJJnSGN7gWWr7hZNuznJMe9l0\n6TceDW7CmofHoCoKe6+c5Jcrx2/Z/gNcTlAIqZr3uxlcVSMzCzKzcEwradTAxhdrDMTFK4QGa6zb\npMNihdRU6NzByrbtOjp188Rqg/vvsfHwA3nFW3ICVK6aN/0loApkZ0FOluaYFuPhqfDcvxXef8OG\nTyXQrDB4ln389I4GCnu/04i4Eywm+9QZXb5KzdX7D3D52na5Qqra42dm4pgW06ihjZVrjMTFWwgN\nhm82XuvjKjzZwcq2H1U6POuB7VofrR4oeoEbXCOIhPNXHLcTzyfh5eeFp4+n66fFuHHerhAj7LGx\nsXTu3JmFCxeycOFCFi9ejKIoNG3alEWLFvHAAw+wfv16IG+UpjDp6enMmzePuXPnMn/+fADGjBnD\nuHHjWLp0KY888ggLFiy4JcckhCjnZErMDUnOLp8UCn8urPmWwtMrOloGNeCbC7/wr70fsub8z0y7\n+2V0isqLke1IMafz5I7xdP1pEpUMPnSrcYtGTq+50cComq8aatbERr8+Ft4cbaTPqx7odODvBwYD\nzF+sJzBAY8vabDZ8kU3qVfhsdd7o841WBVTyxb94TmPzZxqjFqi8u1xHu+4KC9+1b9ilv4KiwLT/\ns7HwXRv1mysFCnZX7z/ceClyNV+z5k00XulrYchoI1EDjOjz9fHxYj2BleG7r3PYtDqHlKuw/C99\n3IyiFv46s92KFVzcOGdXiBH2oKAglixZwpYtW/Dx8cFstn/E1rBhQwDCwsJITEz82zj52+fk5AAQ\nHR3NhAkTALBYLNSq5bqrgAkhKg7Nai3rXXBbkrPLp/jsFO6slHelzaqelUgzZ2Gy5X2hMNF0ldjM\neE6knQfg58SjvKk8S7hXEI9UvYv3T3yNDY0saw7fXvqN1sGNWf3nzlt2DKHBGn8cy6tu4xMU/HzB\n0yOvTWYWNG9i48kn7K+ppGSY96kBfz/48Scdbw4yo9OBjzd0+oeV73fmFaOVgyHmRL4554ng7QtG\nj7wi9Pg+jchGCkGh9vta/VNh7ccaGWkapmx48mUFb1/7Pm5bbaNqeN62rtr/F7pZC/Rx5GheH5cT\nwP+vfWTa+3jqCaujj7mf6vH3gx92qox4Pa+Pf7a38t0OHf8qwvMDEB+bSIP76jpuV6keSHpyOqZs\n0022cg53ztsVYoR90aJFNGvWjGnTptGhQwfH/TcbmdEKeXdUWPvIyEimTZvG0qVLGTZsGG3atHHO\nTgshKjabVryf24jk7PJpT9JJ7vSvSbiXfeLyk9Xu5+fEPwq0+fXKcUI9A6nrGw5A04AINA0uZSVx\nMu0Cj4U0BUCnqDxUtRF/pMbe0mO4/14rR46pnL9gf+2s+Z+O1g8VLNISEhX+9YaRjEz77YXLDLR/\n3N6mQV0b2360F+gWC+zYpaNxw7yR3wbNFWKOQ8JF++v1540aje8v+DqtXkfh9GGNtBR7m0O7ICgM\nfPwUft6gsXGp/f6ryRq7N2m0aJO3vav3H+CBe20cOaby57U+vvqfntYP/6WPKwqvDM7rY8FSPU+0\nvdZHPY0t1/owW2D7Lh2N7yz66Pi+LYdo0LIuYZEhAHT+Vzt2rXPhPLH83DhnV4gR9jZt2jBx4kQ2\nbNiAv78/er0ek+nm78Ru9ochv3HjxvHmm29itVpRVZVJkyY5Y5eFEBXdbTbNpTjKe84u4q64bfyS\n9pFqzmDK0S94t3Fv9IrKxawrTDq6knp+1Rje4Fn67f2AZFM6ow4tZkiDZ/DSGcmxWRh9aAkWzcrs\nk+sYXL8Ly+4fhlWzsS/pNJ/F/HDL9h+gcgCMHWFi+DgjFgtUr6YxYaSJYycUJs00snx+DrVqaPR9\nwcKLr3mgadC0sY3hg+yfAr3xf2amf2igWx/7VJN7m9vo3SPvEwa/AIUXhqp8OtG+rGOVMOj1pkrs\nKY2V/7Ex/L866jVVeOxZhQ+H29AbwMcP+o+zj5+2e15h2XQbUwbYi9+OUQo16yq3bP9z+xg3wsyb\nYw1YrFA9XOPdkWaOnlCYOMPAZwtM1Kqh8WJPC71fNaJp0KyxjRGv2+MM/T8z0z408Exv+1SZe5vb\n6Nuj6CPXqYlXmfHSXMZ9OQydQcel6MtM7TO7BM92Cbhx3la0woYtRKm0U7sVue3miwdpH97UhXvz\n933dyn0QoqRuxes0t4/cf7faVpc4VodKLxWr/bepn5a4L1F6trh6Louthp4s9/EBHvnuTZf1sePx\n6S4/hqsXa/59wxLyD7d/UrD57J0u66N9xFGXH0PGJddNIfMJiwGKVyMVV2lyNhQvb9/qnF0hRtiF\nEMLtyFiIEEKUL26ct6VgF0IIF9BkbXUhhChX3DlvS8EuhBCu4MYjNUIIIQrhxnlbCnYhhHAFJy4P\npmka48eP58SJExiNRiZNmkSNGjUcj3///ffMnTsXvV5P165d6dbNdXNEhRCiwnJS3nZFzpaCXQgh\nXEBz4rJf27Ztw2QysXLlSg4ePMiUKVOYO3cuYF9r/L333mPNmjV4eHjQo0cPHn/8cQIDA53WvxBC\n3A6clbddkbMrxDrsQgjhdjRb8X5uYt++fbRqZb8iZNOmTTly5IjjsejoaGrVqoWvry8Gg4EWLVqw\nd+9elx6aEEJUSG6cs2WEXQghXMCZI+zp6en4+fk5buv1emw2G6qqXveYj48PaWlpTutbCCFuF87K\n267I2VKwu0Bx1wHdegu/lHyjvm7lPghRUrfidZrbR2n72mpdVfqducbX15eMjAzH7dzEn/tYenq6\n47GMjAz8/f2d1vftInetcYl/Yzsen+7S+K4+hty10l2pfcRRl8Z39THkrpXuSqVdK92VnJW3XZGz\nZUqMEEK4uebNm7N9+3YADhw4QL16eReYqV27NjExMVy9ehWTycTevXu5++67y2pXhRDitueKnC1X\nOhVCCDeXf8UBgClTpvDHH3+QlZVFt27d+PHHH5kzZw6apvHss8/So0ePMt5jIYS4fbkiZ0vBLoQQ\nQgghhBuTKTFCCCGEEEK4MSnYhRBCCCGEcGNSsAshhBBCCOHGpGAXQgghhBDCjUnB7gS562laLBa2\nb9/O1atXuXr1ahnvlRBCCFHxpKSklPUuCHHLyYWTSunhhx8mISGh0McmTJhA9+7dSxX/22+/Zdeu\nXaSlpXH48GEuXLiAzeYeVzlSVdVt9sVVdDodAEajkY4dO/L888/TtGnTMt4rIURZSE9P5/z589Ss\nWRNvb2+X9HHu3DliYmKoX78+ISEhKIpS6pg//fTTDR97+OGHSx3/VtmzZw/vvPMOVquVDh06EB4e\nTrdu3ZwW/+TJk4wfP56rV6/y5JNPUrduXdq0aeO0+Ll2795NbGwsTZs2JSIiAg8Pj1LHjIqKuuFr\nZenSpaWO/1e34ndBFCTLOpZS/fr1y3oXxC2Wu66qKJ+Sk5O5//77i9z+gw8+oEOHDi7cI1EefPvt\nt8ybN89RLCqKwmuvvebUPpYvX87WrVtJTU2lS5cuxMbGMnbs2FLHHTly5A0fmzJlSqnj57p8+TLT\np08nKSmJDh06UL9+facOcPTs2ZP//ve/DBw4kE8++YQePXqwZs0ap8Xv06cP77zzDqNHj+aDDz6g\nX79+To0PMGvWLOLi4oiOjqZXr17s3LmTWbNmlTrumTNnAPjvf//L448/TosWLTh06BA//PADkydP\nLnX8/Fz9u5Cens6CBQuIj4+nTZs21K9fn1q1ajktfnklI+xCFJO8Sbu9DB48mOPHj5f1bogytnjx\nYr744gtefvllXnvtNbp27er0gn3Dhg2sWLGCPn360LdvX7p27eqUuPmL8pMnT3L69GkiIiJo2LCh\nU+LnGjNmDC+++CJz587lnnvu4a233uKLL75wWnxVVQkICEBRFDw8PPDx8XFa7Fy1atVCURQCAwNd\nEn/fvn2sWLGCqKgonn76aT7//HOnxI2MjAQgMTGRjh07AtCuXTuWLVvmlPj5ufp34e233+aRRx5h\n7969VKlShVGjRrF8+XKnxS+vZA57KTnj40ohhPsyGo1lvQvCDeh0OoxGI4qioCgKXl5eTu9D0zRH\nfHD+a2/ZsmWMGTOG/fv3M2bMGBYuXOjU+NnZ2TzwwAMoikJkZKRTpnrkV7NmTWbOnEmT3jqpAAAd\n8ElEQVRKSgrz588nPDzcqfErVarEypUrycrKYsOGDfj7+zs1PoDVaiUnJwdFUbBaraiq88uw1atX\nc+LECVauXInBYHB6fFf/LqSkpPDss8+i1+tp3rx5hZ96W1RSsJfSwYMHnZ40hBDuI/d7DOL21qJF\nC4YMGcLly5cZO3YsjRs3dnofnTt3pmfPnsTGxtK/f3/atm3r1Pjr169nxYoVjBo1is8//5yNGzc6\nNb6Hhwc7d+7EZrNx4MABp7/hmDBhAuHh4bRo0QJvb2/effddp8afPHky58+fp3Llyhw5csTpU0nA\nPu3mmWee4dSpU3Tr1o0XXnjBqfFnzJjB8ePHmTZtGmfPnmXGjBlOjQ+35nchOjoagLi4OMnB18gc\ndieRaRJCVDw+Pj5s3bqVoKCgst4V4QZ27NjByZMnqV27tku+jAj2QuXkyZNERETQoEEDp8Z+7rnn\nCkxR6d69OytXrnRa/Li4OKZOneo4R2+++SY1atQoddy9e/fe8LF777231PFzzZ07t8DUjpkzZzJ0\n6FCnxc+VmppKTEwM1atXJzAw0Ckx4+LiCA0N5ezZs9c9FhER4ZQ+8nPl78LJkycZM2YM0dHRREZG\nMm7cOBo1auTUPsojKdidpFGjRlgslrLeDafx8PAgJyenyO2Lu2KMXq8v1vnS6XRYrdYitxeiJD7+\n+GM+/vhjfv/9d4xGI4cPHy7rXRJuIj09nR07dmAymRz3denSxal9XLp0ifXr1xfIvf/+97+dFn/q\n1KlcuHCBFi1asG/fPqpVq8aIESOcFt9VhgwZAkBsbCxms5nGjRtz9OhRfHx8nDJHe/Xq1Xz55ZdE\nR0dTp04dAGw2G2azmbVr15Y6fn7Hjh1j1apVBZ5jZ3zxd8qUKYwcObLQ1WKctUrM119/fcPHnP27\nIK4nBbuTyAj77WPgwIHUr1+fWbNmOb6Zn+uvbyyMRiPDhw/njjvuYOjQoaSmpt60vZeXF6+//jqN\nGzemb9++mM3mAu3/+saoUqVKvP3229StW5euXbvyd7/OoaGhDBw4EL1eX6Q/1LVr16Z3794kJiYy\ne/bsv23fokULnn76afbt2/e3f+gURaFt27Y89thjbN68mR9//PGm7VVVJSoqisaNG/PZZ5/x+++/\nXxcv//Hr9XpeffXVGz5XRVWtWjW+//77Em0rKo7evXsTHBxMWFgYYH+95RaSzvLcc8/xwAMPOPoA\nSr008F/9+OOPREdHU7t2bR599FGnxp43bx6ffPIJnp6ejvtutqRkcb3yyivMnTsXvV6P1WrllVde\ncco8fJPJRHx8PB9//DEDBgwA7PkmKCjI6dN6nnrqKXr16kVoaKjjvlatWjktfk5ODtHR0dx5551s\n27aN1q1bO20e+8yZMwE4cOAAXl5eNGvWjMOHD2OxWJg/f75T+gD7G4P58+cXeFPz3XffOS1+eSUF\nu5NIwS5ExeTn58dvv/1W1rshylhUVJRLVtzI78UXX2TRokUui+/qTwmefPJJVq1a5ZIv5AI8/fTT\nrF69Gr1ej8lk4vnnn3fqCLjZbObIkSNYLBY0TSM+Pp7OnTs7LT7Ayy+/7PQv++Y3aNAgWrduTdeu\nXVmwYAHHjx93FNrO8tdjeOmll/j000+dFr9Tp07MnTu3wBtX+fK/LOsohBA3JcW6APugzMGDBwss\nhejsIqJu3bps2LCBhg0bOqY1OHP+8WuvvXbdpwTOVL169QKj68727LPP0qlTJ+rVq8epU6fo37+/\nU+MPHDgQs9lMfHw8VquV4OBgpxfs1apVY/78+QWeY2devOry5cuO5UD79+9PVFSU02LnSkpK4urV\nq/j7+5OcnOz0K8/WqFFD1l0vhBTsTvLzzz/z0EMPAfaP0o4dO0bz5s3JyMgo4z0TQpSUs5elE+XX\nnj17CkyNUhTF6R/THzt2jGPHjhXow5lXqdQ0zSWrhuQym83885//pF69eo5i1Jmjuz179qRDhw7E\nxsZSq1Ytp31hM1dycjKrVq1i1KhRjjXlnc1sNnP27NkCXw51ZsGuKApnz54lIiKC2NhYlyyJOGDA\nALp06UKlSpX+v717DaryusIA/B7kpkJVwEOKwRHEiiAoAUI7uTBEokgw0QIBRE0ioNQLhktEQFGx\naC0V0aJSJaIiiEFCSoU2hKSiSWNNjI2OCo4EJS3lJiAC4uHWH8w54aI1kf3BIXmfX8Jh1v7UxFnf\n2muvjXv37mHTpk1C4+vq6iIwMLDPS43o9rORiAm7IEZGRgNuwOzfYwsA58+fR0BAwI/qgCrRj4WG\nhgYCAwNV/ZiXL18e5icidZGXlyf5Gv1bbnq3rogg9S6B6Iq3knJ6S1hY2IBdAZEvBMrdgfv370NX\nV1eSe1Z27NiB8vJyVFRUYPr06ZDL5ULjR0VFITQ0FHV1dZDL5di6davQ+AAwb948zJkzB/X19TA0\nNBQ+dtHZ2VlovB8L9rCrmba2NkRFRaGmpgbXrl1Da2vrcD8S9ePq6op9+/YhPj7+e1W/vLy8EB8f\njzfffBOff/75Y38+KCgIEREReOGFF1BTU/PYn4+JicGyZcswe/Zs3L9////+rJaWFhITEzF37tzv\nde5CT08P+/fvh4GBwffaGjY2NkZqaioqKiqwevXqx/68ubk50tPTkZ+f/71mHjs5OeHYsWNIS0vD\n7373u8f+/A/9u+rP0tISOTk50NRkbeOn7uOPP0ZmZiba29vR3d2NxsZG/OUvfxG6RlZWFtLS0lQ9\n1FpaWvjwww+FxX/11VfR3Nys+lr0LoFUV8qXlJTA0tISRUVFAy4zevbZZwcdXykjIwONjY3Q0tJC\nUVERxowZgyNHjgiLDwDHjx/HRx99hLt372LRokW4ffs2YmNjha7RW3t7u7BDp3FxcYiNjYWPj8+A\nlxkR40GvXLkCGxubhx5UFrkLMVIxYR9iDg4OuHfv3nA/Bg0RExMTFBYWPvQfzDNnzmDlypXD8FQj\nw2uvvYaCgoIBk3KGmqamJq5evTqsz0DDb8GCBYiLi0NWVhacnJzw2WefCT/Mt2DBArz77rs4cOAA\n3NzccPToUezfv1/oGlIKCQnBiy++iPfffx8RERFITEwUeqW8n58fTpw4ISxef1VVVTA2NoZMJkNp\naSk0NTUxdepUoWv4+fkhIyMDb7zxBtLT0+Hp6YmcnBxh8fu/9GlqaqKwsFBI7Lq6OhgZGeE///nP\ngM8mTZo06PgHDx7EihUrEBUVNeAzEaMvRzqWjYbYhg0bEBMTM9yPQUOksrISM2fOHO7HGJH+/Oc/\nD/cjAADb1wgAIJfLYWdnh6ysLPz6178WPp9buYZcLkdLSwucnJyQnJwsNL7UuwTKK+Xz8vIkuVJ+\n3LhxOHr0KMzMzKCh0XNRu4jK640bN1BdXY0//OEPeOeddwAAnZ2dSExMFP7vUHd3N2QymapCLfrg\nckZGBtLT0/u89IliZGQEALhz5w7y8/P7jF3csmXLoOO/+eabUCgUkrTx/BgwYR9iXl5eKCwsRHFx\n8XA/ioq6X0qkqamJrq4u1Qxy5T/UVlZWKC0t/UEXPBERPQktLS188cUX6OjowLlz59DQ0CB8DX19\nfRQVFUEmkyErK0v49I2kpKQBuwSiSXml/IQJE1BSUoKSkhLV90Qk7E1NTSgoKFAlokBPu9DixYsH\nHbs/Dw8P+Pv7o7KyEkFBQXB1dRUaX+qXPgCIjIxEUFDQgPakwXJzcxvQaqN8weEcdrbEED2Svb19\nn35P+mlavnz5iLgNkqRVXV2Nb775BhMnTsSePXswf/58uLu7C12jubkZ3377LQwMDJCWlgYXFxc4\nOTkJi6+cnx0ZGYmdO3cKny3f/0r5LVu2wMrKSlh85Ro3b96EmZlZn8OzIly9ehXW1tZobGzEuHHj\nJDl0CvS81Ny4cQPm5ubC73B5++234eHhgY8++gh2dnbIyMgQftYiODgYKSkpQmPS4zFhJ3qE8+fP\nY/ny5YPefdDT04ORkRE6OztVuxna2tqorq7mC8H/oauri7a2tuF+DAAYMAGKfno6Oztx7do1tLW1\nqap+jo6OQtdoa2tDVlYWysvLMW3aNPj4+Ag7MAj0JFoBAQHIysrCwoULsXPnTpw+fVpY/C+//BIO\nDg6qr/Pz8/HKK68Ii5+eno7Tp0/D1tYWly5dwvz58xEQECAs/oULFxAXF4fOzk64ubnBxMQE3t7e\nwuIDPQcrc3Nz+wwIENmf3dzcjIqKChgaGkry0gcAubm5OHv2bJ/+/jVr1gw6rtSHWkc6JuxEaqat\nrQ2tra2q1p/+7UC924K6urqgp6f32D7I5uZmvPHGG6isrISOjg66u7uhUCigra0NhUIx4HsymQx/\n/OMfYWNjI/nvd6jZ2dn94OlLTNhp9erVaGpqwsSJEwH0tEyIPnS6atUqmJubY/bs2fjqq69QU1Mj\ndG661LsEM2fORFBQENatWwcAWLZsmdA58j4+PsjIyICmpiba29vh6+sr9MCmv78/9u3bh7Vr1yI1\nNRV+fn54//33hcUHAE9PTyxZskTVDw4AL7zwgtA1pObl5YW5c+f2aYnx9fUddFypD7WOdOxhJ3qE\nn/pEHy8vr+F+BCK10dDQgMzMTEnXaGxsREREBICekaSie6iNjIxQU1ODhoYGLF26VHjLh52dHTo7\nO7Fp0ybExcUJjQ1ANfUE6DlTIHL3Aei5h2H8+PGQyWTQ0dHB2LFjhcYHenZcFy1aJDzuUBo/fjxW\nrFghPK7yJUZDQwOnT5/ucz5NRAV/pGPCTvQInOhDREomJib473//i5///OeSrWFhYYGLFy/C3t4e\npaWlMDExUU10ETFNJCQkZMAugci2HplMhrCwMBw+fBhr166F6A18e3t7hISEwN7eHhcvXoSdnZ3Q\n+JMnT8auXbvQ2NiIgwcPwsTERFhs5WxxfX19pKSkwNraWvXCJNWMcZEz2HubMGECYmNjYWVlpfo9\n+Pj4CIu/bt06/OpXv5L0/7WRiAk70SOo40QfGno6OjrD/Qg0jJTJlEKhwN/+9jeMHz9e9dnDLngZ\njIsXL+LTTz+FlpaW6v6BefPmCZuSIfUugZ6eHoCeg9r6+vpCRv31FhkZiTNnzqCsrAyenp7Cb8Tc\nunUrsrOzYW9vjzFjxmDbtm3CYiunz+jr6+P27du4ffu26jORCft7772H8vJyREZGYuXKlXj11Vex\ncOFCYfEBqC7DqqurExpXaezYsQgNDZUk9kjGHnYiIqLH6F9dLysrE36pjtKdO3cwYcIE1VkVUSIi\nIhAeHj5klUtlT/JgnTx58pGfiazsfv311/j666+xbNkyhIeHIyAgQPiUGwC4du0aysvLYWFhIXxK\nzKJFi5Cdna3q81+yZMn//fN7UjU1NarLmWpqaoTudmzfvh2zZs3CjBkzVBV8MzMzYfFHKlbYiYiI\nHuHGjRuoqalBQkKC6lKdrq4u7Nq1S/ilOv/85z8RHR0NfX19NDU1Ydu2bXjuuecGHXeodgk++OAD\n/OlPf4JCoRA6P7u2tlbA0z1eXFwcdu/eDaBnPOKGDRuQkZEhdI2kpCScP38etra2SE9Ph6urKwID\nA4XF19DQ6NPnL8VoyujoaPzrX//C/fv30dbWBlNTU7z33nvC4l+/fr3PrH2FQsEpMWDCTkRE9EhN\nTU3Iz89XXarT0NAAQ0NDSS7VSUpKQmZmJoyNjVFdXY01a9YISdiVSfnDdglEOnToEFJSUoRX8JUH\nDjs6OnD9+nXJxr1qaWlh8uTJAABTU1PhOxwAcPbsWZw6dQoaGhro7OyEj4+P0IR9zpw5WLx4MWxt\nbXH16lW89NJLwmIrlZSUID8/H7GxsQgNDVVNBRLF3d0dR44cUbWFKV9Afur4p0BERPQIDg4OcHBw\nQFpaGnJyctDZ2QlLS0tJkrlRo0bB2NgYAGBsbCzs/MRQ7RKYmpqq+pulsG7dOty7d0/VZiP60KyJ\niQkSExMxe/ZsXL58GXK5XFhspaeeegotLS3Q19dHR0eHkJah3latWgUXFxeUl5dj4cKFsLS0FBof\n6Dl0KpPJ0NraCgMDA+HxMzMzkZ6ejgMHDsDNzU3oaNCRjAk7ERHRYxQVFeH48eMICQnBb37zG/j5\n+Qm/VEdPTw/p6elwdHTEF198gXHjxgmJO1S7BLq6uggMDOzTexwWFiYsvtSHZnfs2IETJ06guLgY\nFhYWWLVqlfA1ampqMG/ePFhaWuLmzZvQ0tJSzTAfTNtHdnY2vL29sWvXLtWffUlJCQoKCoT+HQCA\ntbU13n33XcjlcoSGhva5BEoEuVwOuVyOlpYWODk5ITk5WWj8kYoJOxER0WMoZ3QDkGxGd0JCAvbv\n34/du3dj6tSp2L59u5C4Q7VLIHpqS39Sj9YcNWoUZs2aBWtra3R3d6OwsBAeHh5C19izZw+Ant0B\nkTM/nnrqKQCAubl5n+9L0cMeFhaGlpYW6Ojo4OzZs5g1a5bQ+Pr6+igqKoJMJkNWVhYaGxuFxh+p\nOCWGiIjoMWJiYmBgYIDi4mJ4eHigrKwMO3fuFLpGeHi48NtTe1Pe5BkSEoJDhw4Jv8mzo6MDubm5\nqKysxC9/+UtMmzZNSMtE70Ozra2tkh2aDQ4ORnt7O2pqatDZ2Qm5XI4jR44Iiw8AVVVV2L59O8rK\nyjBlyhRERUXh6aefFhY/Li4OsbGxqq/Xr1+P3//+90Ji967e9yeyit/c3IyKigoYGhoiLS0NLi4u\ncHJyEhZ/pGKFnYiI6DF6z+gePXq00BndSgqFAiUlJTAzM1MlRiIuTFKSepdg8+bNkMvl+Mc//gEb\nGxtERkbi0KFDg47bOylvbW3FmDFjUF1drer3F6WhoQEnT55ETEwMNm3ahLfeektofADYuHEj/Pz8\n4OjoiAsXLiAmJgZHjx4ddNyMjAwcOHAAd+/eRWFhoer7IkePKqv3oncH+tPT01ON09ywYYNk64w0\nTNiJiIgeQ1NTE35+fpKucevWLQQHB6O+vh6GhobQ0NAQMhZRScqbPAGgoqIC8fHx+PLLL/HSSy/h\n4MGDQuMnJydDoVAgLCwM8fHxmDlzJlasWCEsvq6uLgDg/v370NXVlaSd5MGDB5gzZw4AwNXVFWlp\naULi+vv7w9/fHykpKQgODhYSs79FixYBAFauXAlvb2+4uLhg1KhRkqxFA4k/5k5EREQ/2Nq1a6Gh\noQFzc3OMGjUKW7duFRp/69atMDExkWyXoLOzE/X19ZDJZGhubhbeI//JJ5+oWi/27t2LTz75RGj8\nuXPnYt++fbC0tMTrr78udHdDqbOzE6WlpQCA0tJS4S8FS5YsQVJSEqKiolBYWNjnRlVR1q9fj6++\n+gqenp5ISEjArVu3hK9BA7HCTkREpAb279+P7OxsGBoaoq6uDsHBwUKvrZd6lyA0NBSLFy9GVVUV\nfH19ER0dLTS+TCaDQqGAtrY22tvbhbdl+Pv7qy58cnZ2lmRE5caNGxEdHY2amhoYGxsLf2mKjo7G\niy++iAsXLsDIyAgxMTE4fvy40DWmTp2K9evXo76+HvHx8fDw8ICjoyNCQkKE3nhKfTFhJyIiUgPj\nx4+HoaEhAMDIyAh6enrD/EQ/TGtrK9rb2zFp0iS0tbUJr7D7+vpiwYIF+MUvfoFvvvkGQUFBQuMD\n301VmT59uvDYAGBlZYWcnBxJYgNAY2MjvLy8kJeXh2eeeQZdXV3C1yguLkZubi7Kysrw2muvITo6\nGh0dHQgKCkJeXp7w9agHE3YiIiI1MHbsWAQEBMDR0RFXr15FW1sbEhMTAYidwiGV5ORkZGdnw8DA\nALW1tVi9erXQK+u9vb0xZ84cfPvttzA1NZXk0h6phISEYO/evQ/dMRE56Qb47gbbqqoqSXrM8/Ly\n4OfnN2Byy9q1a4WvRd9hwk5ERKQGXF1dVb8WPQFlKIwdO1aVRE+cOBGjR48WvoaBgcGIStSV9u7d\nC0B8ct6fsuWmrKwMISEh2Lx5s/A16uvrHzpm8eWXXxa+Fn2Hc9iJiIjoiSl3AS5duoQxY8bA3t4e\nly9fxoMHD4SMdRwqu3fvxqlTp/ocBBWdYJ85cwYnTpzoczvosWPHhMVXKBS4efMmrKysUFRUBGdn\nZ2hpaQmLDwBvv/02PDw8YGZmpmp7MjMzE7oGDcQKOxERET0xZbLWO2lTji4cSYqLi/H3v/9dkukw\nSnv27EFUVBSMjIwkiR8REQFnZ2dYWVmhvLwcf/3rX4VfxnXnzp0+s+NlMpnQlw56OCbsRERE9MSU\n87mlJnUFfMaMGXjw4IGkCfu4cePw7LPPSha/uroanp6eAICgoCAsXbpU+BqpqakoKyvrU8Un6TFh\nJyIiIrUndQV82rRpeP7552FkZKQa7yjq4qqTJ08C6Lm5dtOmTbC2tla9ePj4+AhZA+ipdpeXl8PM\nzAwVFRWSTIl55513JK/i00BM2ImIiEjtSV0BLygowMcff4yf/exnwmPX1tYC6NkRWLVqFerq6gD0\n3HwqUlRUFEJDQ1FXVwe5XC788i1gaKr4NBATdiIiIlJ7UlbAAcDExASjR4+W5IXA2NgYp06dwujR\no3Hu3DkAQFdXFzo6OhAeHi5snVmzZuGDDz5Qfd3e3i4stlLvKv7t27clqeLTQJwSQ0RERGrPy8sL\nKSkpfSrgIpPr119/Hf/+979hamoKoCcxzcrKEhJboVCgtrYWKSkpCA4OBgBoaGjA0NBQ6O8hKysL\naWlp6OjoQHd3NzQ1NVFYWCgsPgBcvnwZmzdvRm1tLeRyObZs2QJbW1uha9BArLATERGR2pOyAg70\nHGqVira2NiZNmoRt27ZJtgYAZGRkID09HQcOHICbm1ufaS6iXL16Fa2trdDW1kZjYyMiIiKEvxTQ\nQEzYiYiISO1VVVXh5ZdflqQCDgC5ubkDvrdmzRph8YeCXC6HXC5HS0sLnJyckJycLHyNzMxMyV8K\naCAm7ERERKT2pKyAA1DNRu/u7sa1a9dGZG+2vr4+ioqKVC8zjY2NwtcYipcCGogJOxEREak9qSvg\nvr6+fb4ODAwUFnuo/Pa3v0VFRQXCwsKQlpaGjRs3Cl9jKF4KaCAeOiUiIiK1p2x/6V0Bj4+PFxa/\nvLxc9eva2lps2bIFBQUFwuL/WDQ3N6OiogKGhoZIS0uDi4sLnJychvuxfvSYsBMREdGIExgYiNTU\nVGHxes8T19HRwdKlS3mLJ6kNtsQQERGR2utfAa+srBQaPz09XWg8IpGYsBMREZHai42NVf1aR0cH\nkZGRQuKGhIRg7969eP755wd89umnnwpZg2iw2BJDRERERKTGWGEnIiIitSV1BTwqKuqRn+3YsWPQ\n8YlEYIWdiIiIfrLOnTsHADhx4gTs7OzwzDPP4MqVK7hy5Qp27do1zE9H1IMJOxEREamtoaqAL1++\nHIcPH1Z9/dZbbyEtLU1YfKLB0BjuByAiIiJ6FHd3d7i7u+Pu3bswNzeHl5cXpk+fDoVCIXSd1tZW\nfP7552hubsa5c+fw4MEDofGJBoMVdiIiIlJ7UlfAy8rKkJCQgFu3bsHCwgKRkZEwNTUVFp9oMHjo\nlIiIiNSesgJuY2ODS5cuCa+AT506FWFhYbh58ybMzMyYrJNaYYWdiIiI1J7UFfBjx44hPz8ftra2\nuHTpEubPn4+AgABh8YkGgwk7ERERjQg3btxQVcBnzJghNLaPjw8yMjKgqamJ9vZ2+Pr6IicnR+ga\nRE+KLTFERESk9npXwA8fPiy8At7d3Q1NzZ60SEtLC1paWsJiEw0WE3YiIiJSe/n5+QMq4CITdnt7\ne4SEhMDe3h4XL16EnZ2dsNhEg8WEnYiIiNSe1BXwyMhInDlzBmVlZfD09ISzs7PQ+ESDwYSdiIiI\n1J7UFfDq6mo8/fTTmDx5MlJTUyGXy4X3yRM9KR46JSIiohFBWQG3sLAQXgFfsmQJ1qxZg8zMTMyb\nNw9ZWVlIT08XugbRk+JNp0RERKT2lBVwFxcXfPjhh7h+/brQ+DKZDI6OjmhqasIrr7wCDQ2mSKQ+\n+F8jERERqb3w8HDU1dUhKSkJzz33HLZv3y40fkdHBxISEuDg4IDz58+jvb1daHyiwWDCTkRERGpP\n6gr4jh07YGpqihUrVqC+vh47d+4UGp9oMHjolIiIiNSe1BXwKVOmYMqUKQAAd3d3obGJBouHTomI\niEjt3bp1C5999hm8vb1RVFQEGxsbmJqaDvdjEQ0JJuxERERERGqMPexERERERGqMCTsRERERkRpj\nwk5EREREpMaYsBMRERERqTEm7EREREREaux/HWxmnrOmtdkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "foo = calc_fingerprint_mat(mols, fingerprint_size=2048)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }