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chemical_space_jv_algorithm
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from rdkit import Chem\n",
"from rdkit.Chem.Draw import IPythonConsole\n",
"from rdkit.Chem import Draw\n",
"from rdkit.Chem import AllChem\n",
"from rdkit.Chem import DataStructs\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.manifold import TSNE\n",
"import pandas as pd\n",
"import numpy as np\n",
"from scipy.spatial.distance import cdist\n",
"from operator import itemgetter"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv('CHEMBL3888506.tsv', sep='\\t', header=0)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Molecule ChEMBL ID</th>\n",
" <th>Molecule Name</th>\n",
" <th>Molecule Max Phase</th>\n",
" <th>Molecular Weight</th>\n",
" <th>#RO5 Violations</th>\n",
" <th>AlogP</th>\n",
" <th>Compound Key</th>\n",
" <th>Smiles</th>\n",
" <th>Standard Type</th>\n",
" <th>Standard Relation</th>\n",
" <th>...</th>\n",
" <th>Target ChEMBL ID</th>\n",
" <th>Target Name</th>\n",
" <th>Target Organism</th>\n",
" <th>Target Type</th>\n",
" <th>Document ChEMBL ID</th>\n",
" <th>Source ID</th>\n",
" <th>Source Description</th>\n",
" <th>Document Journal</th>\n",
" <th>Document Year</th>\n",
" <th>Cell ChEMBL ID</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>CHEMBL3974692</td>\n",
" <td>NaN</td>\n",
" <td>0</td>\n",
" <td>635.12</td>\n",
" <td>2</td>\n",
" <td>6.34</td>\n",
" <td>BDBM232633</td>\n",
" <td>Nc1nn2cccnc2c1C(=O)Nc3cn(nc3c4cc(Cl)ccc4OC(F)F...</td>\n",
" <td>Ki</td>\n",
" <td>'='</td>\n",
" <td>...</td>\n",
" <td>CHEMBL2971</td>\n",
" <td>Tyrosine-protein kinase JAK2</td>\n",
" <td>Homo sapiens</td>\n",
" <td>SINGLE PROTEIN</td>\n",
" <td>CHEMBL3886737</td>\n",
" <td>37</td>\n",
" <td>BindingDB Database</td>\n",
" <td>NaN</td>\n",
" <td>2016</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>CHEMBL3896141</td>\n",
" <td>NaN</td>\n",
" <td>0</td>\n",
" <td>585.02</td>\n",
" <td>1</td>\n",
" <td>3.65</td>\n",
" <td>BDBM232828</td>\n",
" <td>FC(F)Oc1ccc(Cl)cc1c2nn(CC(=O)N3CCN(CC4CC4)CC3)...</td>\n",
" <td>Ki</td>\n",
" <td>'='</td>\n",
" <td>...</td>\n",
" <td>CHEMBL2971</td>\n",
" <td>Tyrosine-protein kinase JAK2</td>\n",
" <td>Homo sapiens</td>\n",
" <td>SINGLE PROTEIN</td>\n",
" <td>CHEMBL3886737</td>\n",
" <td>37</td>\n",
" <td>BindingDB Database</td>\n",
" <td>NaN</td>\n",
" <td>2016</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>2 rows × 41 columns</p>\n",
"</div>"
],
"text/plain": [
" Molecule ChEMBL ID Molecule Name Molecule Max Phase Molecular Weight \\\n",
"0 CHEMBL3974692 NaN 0 635.12 \n",
"1 CHEMBL3896141 NaN 0 585.02 \n",
"\n",
" #RO5 Violations AlogP Compound Key \\\n",
"0 2 6.34 BDBM232633 \n",
"1 1 3.65 BDBM232828 \n",
"\n",
" Smiles Standard Type \\\n",
"0 Nc1nn2cccnc2c1C(=O)Nc3cn(nc3c4cc(Cl)ccc4OC(F)F... Ki \n",
"1 FC(F)Oc1ccc(Cl)cc1c2nn(CC(=O)N3CCN(CC4CC4)CC3)... Ki \n",
"\n",
" Standard Relation ... Target ChEMBL ID Target Name \\\n",
"0 '=' ... CHEMBL2971 Tyrosine-protein kinase JAK2 \n",
"1 '=' ... CHEMBL2971 Tyrosine-protein kinase JAK2 \n",
"\n",
" Target Organism Target Type Document ChEMBL ID Source ID \\\n",
"0 Homo sapiens SINGLE PROTEIN CHEMBL3886737 37 \n",
"1 Homo sapiens SINGLE PROTEIN CHEMBL3886737 37 \n",
"\n",
" Source Description Document Journal Document Year Cell ChEMBL ID \n",
"0 BindingDB Database NaN 2016 NaN \n",
"1 BindingDB Database NaN 2016 NaN \n",
"\n",
"[2 rows x 41 columns]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head(2)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['Molecule ChEMBL ID', 'Molecule Name', 'Molecule Max Phase',\n",
" 'Molecular Weight', '#RO5 Violations', 'AlogP', 'Compound Key',\n",
" 'Smiles', 'Standard Type', 'Standard Relation', 'Standard Value',\n",
" 'Standard Units', 'pChEMBL Value', 'Data Validity Comment', 'Comment',\n",
" 'Uo Units', 'Ligand Efficiency BEI', 'Ligand Efficiency LE',\n",
" 'Ligand Efficiency LLE', 'Ligand Efficiency SEI', 'Potential Duplicate',\n",
" 'Assay ChEMBL ID', 'Assay Description', 'Assay Type', 'BAO Format ID',\n",
" 'BAO Label', 'Assay Organism', 'Assay Tissue ChEMBL ID',\n",
" 'Assay Tissue Name', 'Assay Cell Type', 'Assay Subcellular Fraction',\n",
" 'Target ChEMBL ID', 'Target Name', 'Target Organism', 'Target Type',\n",
" 'Document ChEMBL ID', 'Source ID', 'Source Description',\n",
" 'Document Journal', 'Document Year', 'Cell ChEMBL ID'],\n",
" dtype='object')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.columns"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"mols = [Chem.MolFromSmiles(smi) for smi in df.Smiles]\n",
"sampleidx = np.random.choice(list(range(len(mols))), size=400, replace=False)\n",
"samplemols = [mols[i] for i in sampleidx]\n",
"sampleact = [9-np.log10(df['Standard Value'][idx]) for idx in sampleidx]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<PIL.PngImagePlugin.PngImageFile image mode=RGB size=800x400 at 0x7FF6AFB146D8>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Draw.MolsToGridImage(samplemols[:8], molsPerRow=4)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"fps = [AllChem.GetMorganFingerprintAsBitVect(m,2) for m in samplemols]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def fp2arr(fp):\n",
" arr = np.zeros((0,))\n",
" DataStructs.ConvertToNumpyArray(fp,arr)\n",
" return arr"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"X = np.asarray([fp2arr(fp) for fp in fps])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(400, 2048)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X.shape"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# draw 60 x 60 grid space \n",
"size = 20"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"N = size*size"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[t-SNE] Computing 91 nearest neighbors...\n",
"[t-SNE] Indexed 400 samples in 0.001s...\n",
"[t-SNE] Computed neighbors for 400 samples in 0.028s...\n",
"[t-SNE] Computed conditional probabilities for sample 400 / 400\n",
"[t-SNE] Mean sigma: 2.009613\n",
"[t-SNE] Computed conditional probabilities in 0.018s\n",
"[t-SNE] Iteration 50: error = 64.2904129, gradient norm = 0.5212628 (50 iterations in 0.077s)\n",
"[t-SNE] Iteration 100: error = 65.1731262, gradient norm = 0.5281700 (50 iterations in 0.086s)\n",
"[t-SNE] Iteration 150: error = 65.1265259, gradient norm = 0.5200158 (50 iterations in 0.082s)\n",
"[t-SNE] Iteration 200: error = 65.0476303, gradient norm = 0.4935639 (50 iterations in 0.075s)\n",
"[t-SNE] Iteration 250: error = 65.4537354, gradient norm = 0.4991030 (50 iterations in 0.081s)\n",
"[t-SNE] KL divergence after 250 iterations with early exaggeration: 65.453735\n",
"[t-SNE] Iteration 300: error = 0.5730352, gradient norm = 0.0037268 (50 iterations in 0.063s)\n",
"[t-SNE] Iteration 350: error = 0.4923524, gradient norm = 0.0011655 (50 iterations in 0.056s)\n",
"[t-SNE] Iteration 400: error = 0.4613161, gradient norm = 0.0006493 (50 iterations in 0.054s)\n",
"[t-SNE] Iteration 450: error = 0.4488063, gradient norm = 0.0002453 (50 iterations in 0.057s)\n",
"[t-SNE] Iteration 500: error = 0.4457672, gradient norm = 0.0003060 (50 iterations in 0.055s)\n",
"[t-SNE] Iteration 550: error = 0.4438342, gradient norm = 0.0001837 (50 iterations in 0.054s)\n",
"[t-SNE] Iteration 600: error = 0.4424226, gradient norm = 0.0002270 (50 iterations in 0.053s)\n",
"[t-SNE] Iteration 650: error = 0.4366567, gradient norm = 0.0002245 (50 iterations in 0.054s)\n",
"[t-SNE] Iteration 700: error = 0.4351973, gradient norm = 0.0003484 (50 iterations in 0.055s)\n",
"[t-SNE] Iteration 750: error = 0.4347247, gradient norm = 0.0001856 (50 iterations in 0.052s)\n",
"[t-SNE] Iteration 800: error = 0.4335482, gradient norm = 0.0002526 (50 iterations in 0.053s)\n",
"[t-SNE] Iteration 850: error = 0.4322000, gradient norm = 0.0002394 (50 iterations in 0.060s)\n",
"[t-SNE] Iteration 900: error = 0.4300847, gradient norm = 0.0002300 (50 iterations in 0.057s)\n",
"[t-SNE] Iteration 950: error = 0.4300343, gradient norm = 0.0001609 (50 iterations in 0.055s)\n",
"[t-SNE] Iteration 1000: error = 0.4283450, gradient norm = 0.0001650 (50 iterations in 0.055s)\n",
"[t-SNE] KL divergence after 1000 iterations: 0.428345\n"
]
}
],
"source": [
"data = PCA(n_components=100).fit_transform(X.astype(np.float32))\n",
"embeddings = TSNE(init='pca', random_state=794, verbose=2).fit_transform(data)\n",
"embeddings -= embeddings.min(axis=0)\n",
"embeddings /= embeddings.max(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7ff6af1a2400>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(embeddings[:,0], embeddings[:,1], c=sampleact, cmap='hsv')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"grid = np.dstack(np.meshgrid(np.linspace(0,1,size), np.linspace(0,1,size))).reshape(-1,2)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7ff6af138358>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(grid[:,0], grid[:,1])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(400, 2)\n"
]
}
],
"source": [
"from lapjv import lapjv\n",
"print(embeddings.shape)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(400, 400)\n",
"(400, 2)\n"
]
}
],
"source": [
"cost_mat = cdist(grid, embeddings, 'sqeuclidean').astype(np.float32)\n",
"cost_mat2 = cost_mat * (10000 / cost_mat.max())\n",
"print(cost_mat2.shape)\n",
"print(grid.shape)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 982 ms, sys: 7.95 ms, total: 990 ms\n",
"Wall time: 205 ms\n"
]
}
],
"source": [
"%time row_asses, col_asses, _ = lapjv(cost_mat2)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"grid_lap = grid[col_asses]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7ff6af09d9e8>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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mTWf3z5Nrp7Utngi2HctDF1KTwrjcqOjMjmiPojga4RsiF6S4bkFwtrf9zVx5QWXHnXK3zeyTYmOxbQmP7EbTexRaydRSvTr7PktdsrjZKxPZ+2TyhY/OfY8dufuP6STwf3qGL9zuo8GKnxzCV/dO5hYDJz3FP2bSXowjeyrwwN7skmIun5dj10eZ3RqLsWozjKjhmX0YlkLp+exEDvh6vBhoa4/DIA/diRt/EIcfJuGFX/Pkd1hhrLDPbxh3djK3N/y7StH/T2GuKe71Pe1a5bWu+H2bL1icQnk24yoWPk6hiZCn0Eh+Ca8ek04teZanzNJsmby8oFHeFEt8K4WoKafNMX6kSatmOW3ymuXc6DH3ej6R/7L5LvS6VgU5RS0KWhSc4SkLSoiluuNPLvWK8Zo1yctr0mixhc6RIoYLp1pknqJlgjwaBa9r92PJksNGRSeaq0XQ3LFKbRFcaZknUihFg38pulKsc4zVvbTIhxOFkCxM+slNvP4eja2xYVrWwrylnHJRIhUcfwELl9HYEvObWnnhLS69NZm7QHCGoKXj6HMdvy8UvFw6wrcL7rXQjeZ2aDVjCVyTomO8qa2XGPHOeO3bLJtCvjG+5/PLaJnFC8nrHyFwzP+xeBmNzeTzNLXw+PP86eZk/ozFsTFvzccTaWs+/vn+fUyek8y/eTr3zKS5QHuIBVbL8hz1RLzaT8IXX+G9ppiTD/Hv6c18/pVkbqHAUd9jWXPc3+2F+Cnt3ue4MVnLZuEUnvpuPIkWch2/W3nkiyybkcxfGaxyBv0VtyqUUPxFIhNSqPZmXU2xp/BN+xya3uqb267oYbMUug3CNkU3eTex7Se9UTImt0mrP3sokX+jaStk951RKXJPF21XadzsGq3djGcQvOtts/R9hy1WNL6E+WjF9SWUhN3xsJaSIpZmwV9SKEUL4S+UbCejmOLa/eXR2KB0RrHIC1NZnND8jLm8PbPnhN+S45pkgbB7hZK+zVb8LYVB/rPZmkp8LuBfJdS73TH9RordxJahwOyHKZQWYa7A5GnMLSGkbW7hqhQG/a7XSrtm2gvc+moy/6qpNJXIyNFS4MW+9OsduGNmPBF0aTtwZ4n+7I6XptBcQlrd1MrVKZSeU26LPQKl8HayqVoprHIGvTfVWujI7JLI7+0jEUn0UNIcf/ReEnpTG0IhxbEXe2kldLz377SfdO36+vY0TrtiL58LEi/7f+Qbehu8nbwAvXP7OqoUJ9/XkSdnD+r7M2n6vY+bNvHki0WlpYNSnnvo/dqn5a/Me8vR66mnabuP26qQpu1iL+2EPuzQv4lVzqCPc3RJtSRs6YhE/hqnU1FiD7FyMPWb9s2tlrGHkT02Aas6NieT8AlbljTJ9bJOs28i/zjrqi2x1isIDkkRy36MU9SUEOGsbYw1E1R3g1TYSlWPsV2DE1Nsqu6ntqRhqhc5OUUcfSY6SU+FL+RVpFCKnrhHzw3QKGLcugxKaH7t4Ywp4WfPVnNqctMOFpU891qckGIInmpEyT2KgE+kENOtdQwV3c+9guF7kknwI2+yAYNLxE3XZfl0CrXjEb1ozqoyHDMumX/6+r2oZCvYPsXG6mGj4uyUnVEZcdgayZu6242lusSjVX2WT/eVrrADGx7dy8ZzxAbJpmqlsMoZ9FE2s59vqlLbkUK1SpWsI/zC4BQ5zdc+h9W2J9MxiCvqyAxg3C3pdu2vtpthsho6DOsAldbR4Fe2T+RmVbvRd9SqkVUlEqmXdZidHJEibcGOhjvXxmplZESqVaiVcbmdDE9hVM/1NZvYQn2HAa1VZ6DV/N5NiVy43iCDVazIvdIgsqFK56dQqQ5U4c+GqhWpEd94dSInqbdPCqVnZF8VThLrHSvEU0mtSteKouT2zz+JDdegoaOp+iyDG/jLVxKp4KYfsHpDbMigoZYt1uOrKbYfhov8riOLULU43UItzsGOKTbCjzTEYYao71hKZEVqVbjRxrIphvBWv6JunY8iuSobqBnG9lclH3sUcctlDKjvdO51bD+Oc05K5q8zmF8cRm1VbMQzFfH/v7kvm6VI4XfyGPYaGStkiTc16zPcsnu6SJXLtmaNWho6+A2VjMrGryehspLbfhjfK7Udhrk+yx7j+FRypm1DN2XHb1NZS0VlPKlWZvnEz1htTDJ/ZbBKRrnAh940wR0qVNrKMYYn5GHpjFBk4SMsepKaUYw8garkYIEVaJF3q3e9balxBjvCOn0mr+qO2Ra6yeMWa3KAbe1kk9TJ/mGCBe72vqyM46xrTD+KaxQUPO5BL3vOKGs5wgmJuUw6o1HRLVq8J29b1Q6R7ZHfpS/MkHezJo2KDlFnuxSy/84ohhcVw71EDTKOF0XpY8DyBe594aOwxeN2jw1zWixt4qZHmTGPnTblgO3J9EOt+Z7gFkErjhAZ14/rFoebLvOghVZX6QTDjexHyGexnZl3s2gCAzZk7U/GhiYtFi3hpnv4cC67b88+u6SL8liOt+dy+4Q4hPDocWyaIrJoOULgX3N5dDZDs5ywDsPS1xWRK8S+9DeXsulAjl6Tmn7027zFcb/PX8LeW/c/XHXBJKbcHkfTjT2WQelNVUn8W0rR/xbKStEyyiijjP7jYxW2WEYZZZRRRmmsskrRZTkemU5FxL5jqOuH4g/ef5/xzzFiBLvu3r/HxyCY72VLTDXYFgZL2E3thqK8OR6Vt9Qwn5DtZ5KmxXIe9YEaGftYW7af3ZgzTYsXVVlTnV365e4JghbjtXlPra3V9DNJk7Y2Hn0kLgPziT0Z0j/J4KIFjH+cbB0770N1/4SmTFnGK4sZU88Og/r17BwCz0xl5mK2G8N6/c0A3doaV1bI5dh77/4VtsTchfzrVQbWs/e26etaLsebeV7vSM61TWU/k3MFnswxp8BONYzuZ9vNbTzyVhw7vs/GDOiHywQWzWLq09QPZuM9qehnYrLXpjLpPTZeh3H9dHkUCox/gsUL2GZXRqzRP35uGdMeiTei19uX6v7lJesXVkmDftskTrvno02RQuDWozgohYI+BL76Ba65iuqqOFJgyBAefIx1xiTzc5a4xwEWekOkQlHemvZ2oNtlUviDF5ngcfsrdMSDF7XZ3Pk2TVHCDq71pv/zuKpOUd13O8SeKVIfBEUznGmxm0SqEFRa0/oeVSX5Ls2bb5p9tZmKCkHeQIca7W/pslWOf57DD4pHSAhxXa9fXMS56VIB/fV3/PJrVHZkCsxkuOp+xu2YgpwvctJ47vkwvnGKgQ0a+OfuDE3ut1mL2fsiZi6K224vcMIOXH1aysXA449zRKfQhvZ2fv97Tj89BZlfXM8FV38UdVFbE5cyS2OccoFjlvJoWzzgi9i8kgdXY7UUx/5eO3vNYUFHqE47PtPAbwenmxTun8hxV8WLL+K9jGtP5ZMpk5Te9l0evJjKjsk7O4BvPMKoFBL8phYO+zrPT4zvl0KRHTbhnouoT7GHMG0yp+1D49L47/Y2Pv0VvpqyJujE27nz1HhTlDgFw3G3sNHB6fj9xSrnQ5+xlI3+SEu3klx1lbx/HkMSZr+bb+T/zqK5UzWzigo224LxKYQO/3Syd9y2or4iceWWcb5sRz/tk1tU8HdraTW7y+sZdfbwgOF275M/2SJbu1FLtyC4BlU+dIaGhE2yBf5olq8IXQQ6GXV2toEn++TCuw61zEN0EnZFao3wQ8N9vW9yLsfoUSxe1PX12joefyquJtAHJr7MibvT2k1bNHAQz3xIdZJN/tVkLpgUK1KWoypi/xHcs2sCmU/8kmfe6apOrKvmkuP57B4J5MZGRo2Kf3dGbS2vvMLYvguE/OsVDvpqrFLsjJGDmXF38sbsdxu5pKVr4cVqHFvDDSn2w7eayevtXaP96yP+NIQTE0I+FzQy+nvxCr0zaquYfD5rlygg0RkT7uP3x9HWufpgxLB1+eXU5AnlvIu4+h5yndqvqeKMQ/l9wi0bAvttyAfTusaT19Zz6U3sdWjf/CUz+O1G5LsJoavq+PJ06of2ze8NHysf+k2Tegnqj7g9ReHVKy7vasyJBQRTpzDtnb65RfkexhwKWrzpT4ltz/e0fIm6mAUtproikX+9t7SXENFEuMd7Kdq/vJsxX976C9r1rcMuaNToYbqpdIMWC/w+sW2P/DNemXdHrpU/J1fcvfVq2kpkNygWePqfyc37w7SuxpxYMvjwXJb1XWx4zhLGv9tTat7cxuUpJODuuacXuWQ7f/lLIv2Pd8Wq1O5oauXp15Kb/1Nrzyq6bbgtF8vh+8K0dqbke0q3mgKXpygyffurpXVJxcDNLyXzH/1dN2MOgaVzeT/FAuy6+7sac+J8PH9JofCdNIH5c0oohJu4IcUt/8bNvQuI3rw9mb8yWOUM+rJc/LjbHfliugroy3q5CTOZnguo7ijKd6pZ3xWFFPlI8hp78VcH7RYn8pdoky8hTCoIlvVSSLczir1K7DOKJSaarkfYe66YJC7icumldHvFYs9VewksW1JauRcCTSkMS0n9+HLk+pbtNbfF8dOl0Fiq6naPDzWWnszyeZYkS/cXN5ZWHEZRnFsmCS29GO0CEmqDawy9+2WXplA7NvYyXtvyLE1OP6Sll8tTUUEuOWNED2O+HK1tyWrR5sbe3WnLkrtN27LS0v9inrYUx74yWOUM+sHrx49r3ZGJOChFJZGjjo3LSHVHdQ2bJlQDq5Q1VE/XQKTC2g5IbHuY3RRL5KHJqDc6RYKsw62roYRKtijYP0V9xdUcLSrhlskYrNq6fXIrDe3lM5UGpqhnao+94hVpd9TXc/SxifT9j6auhFA0387OKbL2OWxkT8kgrFuX6EMfM5TBJdquznBMGj/wfvuVno3q6znyyET6cfvEgpbuaM+zWwq15QHVpYtBb1OZXBx806rSdUezEcelKBJ24KalJ8Paag7pUf+sJ7Y/vvQmYgism6zls8fWPR+Ooog9U6T/3WK70kY/W8vBKQRlGx4cC4m6I8qwYQql6cpglTPoO6zBcRtT38mu1Vdx9lZsksIn9fkvMXqdj4xDZWVcwftP16aLGtjTn1QZsGIDtFKtGoPtIrlIYZWBtnapTKcK9hn1BtnKaCck8ve1tv2trb7DqEeoU+nrtrFOCnHQcN9RaZRoRf70KpE6o12XKtJlLdeq0GB5HflInUrDjPSTRK7hw7ngJ/HFXr7sqa9n51059PBE+r5HsPWuH/VbRUXsfv/STxiSJkjop5vH+VLrOkxbdQUNGf5c0hXZBVHEdWfEPvOqDnpdNaNW59tpNrfWWYevfz0+9+VWpL6eAw5gn+Rasifux1YbfbSJl6mIU/9e+sU44iUJFzcwKLJCS1wjrid7ZQo9WmXEdUPj4uLLh0d9xDoZvpjC/77pKM7ejfpO64j6Gj65DTuMSebv8RlGjqWm4zyjTGzgT70irtWZhN99ldXq4zQNxL9Xq+fyFArhmiw/uTKOqFq+T1FXz7pjOe4zyfw1t2ez46nq1EdV9Wx7FsOTS8muFFa5TVHiWfOBadwwMV6Zn7oFe6+TPgyruZmbbuChBxg9Oq7gvVFy4foVaDLLRFdY6A0j7GQTn5GVsLvTCYu8YqortVlgLUdZ27EqUhYrKAr+4V03maJWpTNsarcUESrLUdBokes0elS19QxxrhrpiyS2ed8Cf5AzRb3dDHaGjH4USRz/fOwzX7qUY46Nq+2mlFsWCjx8Jw/cRsNAPnlmygiX5VjSzjXv8dR8NhrAuesxOn0M2bR5/OExps1n7405bZePUgmkwlNPcc01tLRwwgkcdljqeNn2PLc9yp3/YshqnH04W/fjnl1Y5KoWnsvHES7nZFmjH6F/k9u5YinvFziwlpPrqUu5HAyBx6Zw3XPxPsTJO8Qr97TjtT3H8zcx4R5WG8men2WtFKv75Zi7kCv/zstvsc1Yzj6C4emHq7cncuMVzJvNXodw6IkpNuE7EAJTH+S1v8Zhi1udxrp79y9ktDvKStEyyiijjI8JPlZRLmWUUUYZZZTGKmvQi4re86r3O8qx9Rctmkw03qwU4X6lMMcczxtvoRRZ9kvgbVO85EVtKaJTeqBQYNrLfDAxXWLn7sgt44PxLE4uilEKS8wy3fNaUhRX6I4QmJTnpfaehWkbhzYAACAASURBVAfSoF3BS6Z7y+yV6ve2JSx4Pq7YszL4YDbj32BZisCe7giCiXJe1tqjSEoatBV4cT5T+n/ZwcIlPP8Gs+evHP+9FsYv6TtgqDcEwetmedWMPvPy94ZWeS+Y6Z2VHG/zFsXionnJAVUlMW0RL8ykJUUkXXcUi7z6Nq+9s3LDtT9YJZWib3nKJT6pVaOABoN83Z3Wk056dpNLXeG7Miq1a7OZHfzCHVZLUdsyJ+dMZ7nb31Wr0abNZ5zhYheqSDE/vu99n3S4t72tsiNP4WWucJwTUx27CQ9z6UmxYzEUWX0E37yb0Smdio/+NP7JVJFvY709OPkWssk7XG2a/dVJJntQpRp5OZ/wJQf7WapN1bfzHN7hh810bLJdO4DDU/oj/26C0/1FXlFB0WiD/N3/2TBF6oQQeO07TL40zgFeyDHqAHb+G5Up3OhLGznuWzzxcqwwbs/z3TP47pnpjv0NOUeYaY58R/LfCn8zyn4lc7z3xI3TOOeZ+P/5IhsO5O/7MjpFcfNikS9dzJV3kq2KKzcdtSfXXpCuHuqCNo5+jfFLqY7i2PWfbsCXkgOrwEs+cJSrLNKMSIMatzrdbimLo1/tZV/yoAqRdgVbGOFuJxiZIo9+Ps85F3LDg7GgKNfOSfvzx2+kC4KY3ciRN/HanHhDvBi45ADO2ibVoXv6dY49/6Pw0kEDuONH/S80nRarnA99mQXOM0Zrt5jqOqu5wgzZhE5+1gO+7RitnQQ2lapsaTe/92hi+1/yFdf4s5ZOcdl16lzgB77si31yg2BLG3vXOwqd4tlr1XnM08bZqu/GF8zgC2PJdRMHDRjKlTOoSrCMr93KLafT3omfqWHsAZx2d99c/M1pJrhFvtO5V6lzpN/YSd/b/oXAOguZVewajV6HVwaxUcLgmmKOrfxUSxeVamRNq3nPT2USJtN3rublL1DodOoVWUZ/kp2StT2O/CoPPBMbhOWoz/LnC/hkQm2SnKK1TDO/m4ahTmSyda2VsCH+6gJ2vTeuq7kcmYj1B/DW0ckbbJfcwPf/0FVpWlvDZ47ktwlqSdj7JZ5eTFunjqur4PYtOTAhsqxRzlp+YEk3HUODau8639CE8fq09+3vr5o79XulyBZGeNlnE4/9B3/i4r91LSVXl+UrJ/DjFIWat7uSCbO7CrDqqnjwU+yWMKEtWMKYE3pqBVar54NbGbCSOV0+Vj70p92oWELcU1TwvDsS+Te4qIsxh7x2b3jW3IS6mgUF17i2izGHZs1+47eJbb/oBR+a1cWYQ06rP7g8ke+x62JpZHfkc7x8XzL/iV91NebES9UpD9Lc96NsuxYT3NzFmMevN3tccqXlx9tZGnpKi9pxZQqByZWe0t7tugXBEq0ekywRfuvCrsYciq28fwv5hJKoC5fwwLNdjTmxUvNXKSaD+zXJ9SIIuzaF2+rySbR281IUArOaeSGF++SSG3qmDWjJcdVdpfVOnTGjlWeXdDXm0FzkwunJbd9hQkn3UkFwo5cT+Zd6rsskDnnBZAtMMi+Rf/ltPeuCNrfGryfhrflMmt9TTdvSziXPJvNverR0IetCkTv+lcxfGaxyBn2R2dpKqDLb5SxJkK/DfB+WfL1KtUUJN0hbx7/Sx5Ws9JxrTsmVZFHRzITJBCycGbtauqNQYMncZH5jL5+pqEw06K16l2M2SbYqc3pxm7ZjRgqf7AyL5Uv6XoO5fRzbcuT6OMR8An3hUip7CfGbU6KAco/PKJQ0ajnMTNRqMqO5dP3MTMScFErRRUtLv97W3nOS6o55bbGbpRRmp9j+matRrsQ5tmg3Ry8H1gkzLSu521ClwpwUCuUlvXxkaVOyP3tuE1UlLGTArBTq5DmLSqdsyLXF7/03sMoZ9M3sWdKtUqnappKyJLGzA1WWeMQNgjE26ZNbq9b6vfj9drZTYts72EmuxIRQq85BDknk23JfsqUeUQObfiKZv8G+sTKjOyqzDBrTJ7XBMPV65ouNVNjAnolN71pVehO0Hgel8KEfZFP1JVSu7Qp2TeGLHb6nknd7zTBqElzwY0Z9JEzpjEyG/VLEwX9CbUmj1CBK5UM/ZK2P9FCdkSuyUwpR1S5bln59g7U/KivXGzapL11ouSriwBSZjz9hfdUldKoNauxhg0T+wTaULcFvU7CN5Bp22/YSq7/N2GRX1VYj443o7shWcnCKLJd7jCtdEau6Kn7vv4FVzqBvbm8b2FGNjxxQNepsaT8b2CGR/ynfMMAgVZ2MQ1adL7ioZAHl7rjcb9SpW7EBmpHRoMGv/CKRO8wwX/Y1dZ0GcVbWGtZ0qk8n8m1/OGtvRnWnu6Smnp0/yVp9T0Zg3/PJrhZviIIoTv12+G/J9O3EjkSO9QdV6lZsgFaoVKPBwZJzia6T4axs1zLPtVgvwwkpDPoJtrOeYWo7Tcb1qn3GbtZJsZk97udUNRAtP82ITB3b/T55YFdWctk3uhq/qsrYF3p+Cj/sJmp80oAVtVihVmQzNQ5PsbH36Q1Zo45sJ7tWX8lXN0tXiu2Sr8SGZbl+qyKKz+X330rmZjNctGFXEVF1xKAqvpFcwtf2RtvP2C6TcZ1qOxhtnxS59M+zvWHq1XQy6nWq/NCeBqZIV33ZV+K9juXpBzIV8blflkIpOrCGH+/VtdZCTYahdXw+2dTYe5u4VGFdp8Osy7LvtnEK3/8GVrlNUchr84irPOE6FTL2dqY9na6iZMaKnlhgjhtd7DkPGW5NJ/uabe2Vuv0JXvMrF5rkLdvbztd9zQYpd+zhH+72e7+1yCJHOtq5Pm+1tGrLtlYeuoJ//ZXqLPufw24npa/QsWQmT1zItMfiVfke32BMcvrY5XjfCx71S/O9bV272ss3UxXnJn7EvTXH71rjpE/HV3NeXSwlT4MmOb/zuJu9pEHWefbwSdukLtDRNJ1Jv2Te03FdzU2+yZAU+UCW4+lXY5/5ex+y13Z8/RTWTFmbpCj4m6WusFir4FMGOsfqqYo8w5I2LpvEHe8xqIYvbMIR6S47mPoBv7iWFyayyXp8+3TG9aM2yWMLuWg6M3PsP4SvjmZEyuikgqLrjHeVZxUUnWYHn7Gz6pRBdgu1+LVn3WOK4ep92c4OTLG6X45J7/HzvzDh7Th//LdOYdO+Uxd1wYNTY5/53CYO2Ygv75Scpns52vNcdS/X3h8P0c8cwukH9q8WbXeUlaJllFFGGR8T/NtRLlEUHRhF0eQoiqZGUdTjQS2KotFRFD0WRdErURS9FkXRf6keRxlllFFGGb0h0aBHUZTB73AQNsWJURR1L6L5PdwSQtgaJ5Cm4sG/jyUWWbYSakXiTdAmc7WnyGNeCm2BOSG5QECvaGliyfyVlo41Wqg5RZRAKYRQFMJcIaSIFyyBnHZzLFZYCcUfLLPMQinCQ3rBAkss61GoIx0KgTntiSnQe0WrYK6i4kooPWGpYOFKcoNgqfla0+SfL4F8njkL4+iWlUFLG3OXrLzacYlmi3rNyd83QmDevDix3sqgXd4ci7WniCoqheY881pX/twXL2PJfykHemekWaHvgKkhhGkhhDbchCO6fSawIn/ralhJYXU6TPOW421vDyPsbphT7GaGd1Pz33aXK6zlj0a7zCD3OyO1YS8Gvt/O4FbGtDKsld/2Z4AsW8QPjuaIwRy3JqdsyIT0QanTTfBt45xnlHMN9TN7W2hman6x/W+KLaMUW9ZRbBms0HaeuFuTkVfwNdcb7ExjfN4IZ7sqhRhrOeab5xgHW9cQY61hB5t6yfjU/PEm2dRp1nCMoQ53sG+YK33811XzGfEaY95g8AS+OiP9hNwmOM8yg8y3jgVGWeBvfRT96I6Zgr0VDFU0StE4BRP6Ydgn+pdzbeQMa/qUwX7uaI39OPff3s6wI2Ohy+DD+P7VpVO0l0JLG2dcwaAzGf051vo/7nohddPeNddufmCYs4zwWdv7jrf6cc8+/DAbbcB6YxgxnE+d3Huhmu4Igl+42xBnGePzhjjLz92VOm1EYzsnPc7gG1j7ZsbcyoPpD93k6exwJsMPYdjB7PZZpvWD318k+tCjKDoWB4YQPtPx9ynYMYTwuU6fGYWHMEgcyLBvCKFHgakois7G2TB69Ohtp09PoUzohmaN9rOOpRat6JQKFYYY4SHvdYleKYWZnnWLfeU7rfAystZ3mCPcktj+j9v5RV6X9WEd/lDFqWn2eD63M1NejmX3y5Gt408TWLPvjZ5lFviK9bR0WplXyBhitIu9nbgpHAr/VMwdoevR15I5SabmqsRD/5rr/cHDmjuFXtapcYPPOVLfu4tBsJMtTDVZvtMqqV6DF71lDWv2yZ9pno2dqrHTxFslY6zRXnNN4sboXYs5+V2au6kdzxnKxcn1tZ1lmRu0dpn263C31eybcM8VBBsqep8u0qiBmKbCkIRj/9BUXzJOrou6udp6tvEryQqX6x/inEu6iovqsnzrJL5/aiLdcZfyj5filAEr+NX883vsnLCxmtNuXZ83x5IVTzURBmkw3eUaEiLL3nid3XfrujKvqWG33bkvRRm5yzzg227U5KOA8Do1fu4EX3BQIv/Ah3j8w65PdHUZnj2ULRNS8DY2M+aYWMew3MxWVDB8EO/dni7tQin8uz700jXTuuJEXBtCWAsH4/ooinp8dwjhyhDCdiGE7YYN6xnTnAb3u1mbXJcZtqioWaNHJcvXn/eLLsYcClq94x+a9C3OKQYu6mbMif/+cZonuWmvM+21rsacuJLPnZcl0p/0F4VuqrmigmXme0NyYc1i+4/1PPoWCjcIoW/3TU57D2MOzXJ+KLlA4njP+sD0LsYc2rW71pWJ/D/6R4/H5XYF75ntWRMT+T/8sKsxJ1Y7XjE/2f2yVNFfuxlzOvo9hevnn5hPD31zO65LsVK8x2/lu133vDbTveY9ryfyf3RdT6VocysX3Zy8Sp+7pKcxJ161/yJ5uPm7lzTKdXFRBfH9dLNnEvm/voTWbseey/HM07yb4qH8Z+7qYsyJ79mfuSuR+94ynpjd8/5oLXLRG8lt3/Joz1J3xSJNLdydXJN9pZDGoM/A2p3+XktPl8qZxMvbEMKzyGIla1onHcw7Wkr4EHNazEyROXGRt0u+nlGtMeExsJVevZez0jzBffhupxjwTii08/5bifTZJpdUyRbkzUuTNTL0NgIqCX1PZos09eo3/iCFUnS6d0uuotvkTJF87pO9L1eifB+8Z3Yi/4NevErFwOIEpeocxV4D7N7tpcZs18+Ekp7bFrydwqDPNFmhxDdkVJqbot9n9tI9za2xwekLMxZSXeLkA95OvuzeM09LCTFdk5x3ExZQMHlK6Umnupr3309uf24ve2xzLU10u0xvoqaEhSwGJqfYunt3Vmy8u6MlF4e+/jeQxqC/gA2jKFo3iqJq8abn37t95n3sA1EUbSI26MmJFlYCm9leXQkxRrWszVJkW1zTLqISromidoMSYltrMbKX9zZPEwq9wValpfvVWbZMVnpuaBc1Jc69QoUxUqR/i3ZQussjorVLvP4Rhhmovhchx9YJ9UhhnG16rM6JE5vtbPdE/m62UFei/YKirSXL9rbuJW64voKhCa6y0TJKPahWYMcUsdTbrig42BUN2DlFDP2mdlddwjXRrs26kiWHW/RSkGrk4DhJV1/YcGTpIs+ZCnZJEce+jTGyJZTZDbK2TVEpa7fdYuPdHbkcm3YPzSiBsb2oSccaleim22x1Wkuce3UFu49IbnvbsaWVotnqWKn630CiQQ8h5PE5PIhJ4miWiVEU/SiKouXFIL+Ks6IomoAbcXr4LwW47+kwa1hHVafBXSNrfZvaIYU4aCffUaVO5wFaqc72vq5a30UWo4iLq+huG2pxYZoKciNGs9fx1HT6hooMtQM47JxE+o6OM9BwlZ18tlVqbWAn6yf4sKGi+od0O3fqRFUXiKK+R3ZGhV84qYdRrVPt5ynqoY61if0cqNZHd3ilSqsZ5CSnJfJPd5BBBqjsNBnXqnGg7W2SQtj08zV6lkyri/j5mnFOlL5QI/JDdV36PRL3+wUppPvbYUd0HtvVGI7jUhj0A50ra0CXPZIadXZzvGEpioNfdG5Pw11XE7+epJIdUMvXDo3rgC5HFMU+9O8k17e2t81tas0uRr1GpdGGOCzFAuwLX4zreHbWzdXVceZnSOO1vdgp6rrtcdSpdrFTErlDs3x2LHWd5uyKKP77yylqgh66a5w2oqaTbchWs8kY9k6X6bv/CCH8T3623XbbsLJYGhaHX4QvhT3CyLBXWCP8OnwrNIXG1Pz5YVK4MxwVfhuGhKvCxuG1cE0ohmJq/n35ELZrCWFwcwh7tIbwVL4fB5/Ph3DLJSGctF4IRw4N4WenhDDn/dT0pWF++HM4L5wbRoTPh7XDbeH80BZaU/OLhQkh33JIyDcNCfnmzUOh/cZ+HHwId4bxYavwzTAknBn2DT8JL4SpqbltoS1cFH4WNgvrhPXCsPC58JkwO3yYmv9hmB/OCheGYeGIsE44Lvw8/DW0hfbU/BcaQ9h3SghDXg1hqzdDuHNRamoIIYQbQ0vYPCwIQ8K8cHBYHCb0o+3WUAznh0JYO+TDiJAP54V8mN+Pe25ueD9cGk4Np4Sh4eywXrgrXBLyIf2N99RrIezxhRAGHxrCdmeHcN9zqamhWAzhz4+FsPGXQxhyZghHXRTCpBnp+U2hNXwr/C2sEc4JI8PZ4cvhurA4NKXmv/NOCCefGMKoESFssnEIV/whPqa0eDS8EXYJ3w+Dw5lh5/C98Eh4PTW3WAzh95NC2PC2EIbeEMJxj4bwztL0bS9eFsJXfhPCqENDWOOwEL75+xAam9PzSwEvhl7salkpWkYZZZSxCuFjlQ+9jDLKKKOM0igb9DLKKKOMjwlWSYPebo53HO8ldV5W712nyfejeOx8491vZ39V5RbDve7nQj9k7NNd5wFj3KnKQzbxoXtSc3MKvuFZg1yjxpX28w+T+qH4+yBwdIFsgYYCny3ElYDS4kkzbOt6VX5tlCtc6qXUqrkg+KMnre3bqpxnSz/2sEmp226W8wVXGehkNY5ziJ+YliLkcDmm+cChPqvGFgba1hf8VHM/Ujc87F+2tK8q61jb9v7or/0690tda5TdVNncto72pPQuw6WBz7bR0EK2haNzfNCP9AOTAvsVqCkwqMA3CuT60e/3fMAmd1B1LWNu4bqp6bmFwM/fZfgTVD3CzuPjYtFpsVC700xU71F1HnWC181RItqrF0wywcn2sKlq2xviUt/X3ksIaync5k4bGafGIBvZ0q0pKpstRz7PBT9l2DpkB7Pngbz6Wmq6OQpOtFCdmerNcpqFFqQIdV1ZrHI+9KKcN4zVZiYdYXCRKjXWt5k3SoYkdsZiE91nB4UuStE6GzjDDpLFPdNc6XVf7savtaPbjJSck+wI93vYDC0dnRphoGpvOt4aCRETjYENil1FKjXYHC9UJEcsvGi2PdysuVP4YJ1KX7atn9gt8dgv9JAL3NtFXFSryv0+Z48Uua338n3PmaK1YzBWiAzSYIrLDU6IMFpgkbEOssjSFVXjs2rsZJzHJNeBe8KzDnaK5i61YGtd4Cu+7txE/vdd6hLXdZlA6mQ94Xrb2aJPbghsn+ONYIUZy4iFGlOzNCT026zApkWW+kjRV4v9cHeKNKz3z+CYR2npZEfqMvx6R85OET73+be4ZlYsxFrBr2D8DmyWkM69INjcs97Ror3j6CuxpqzJdlGTsKb8wLsOs6XmTjlgsmrt7xgXuT7x2G9xuzOcq6VLv9W6yu8d79hE/ulnc9tdtHRaNzTU88qzrJcQrZsTbGyOGZ1UBFVYT6WJhsukTPvcHR8rH/oid8hbQCejFLRrM9MSDybyX/czxW45OAqaTXWVXMJKOQje9L0uxjzmt3jDtxPbnmpJF2Mefyet8n4nWXp2Q6BRV8VhDpPxVCKb8z3TxZhDs7xfe6lLEd5SyCv4ift7KEVbtPtuD1lCT7zqXeNNXWHMiXOEN8u52iOJ/KvdplnrCmMOrXLGe92rKZ4SvuuXXYw5NGvxE78pGR/f/XOXuLbH00CLnPNT1IJ9qsjkTsacuA8bcUMKhfHlxVjU1nnp1YKHMTXFeuxbL3Y15sQFp7/3cnKyqcXtXNXNmBOrJX+WQqn5gAVmyq0w5sQjd4F2d6QQFl3jIm3d+q1ViwfcZk6KlFHfcUEXY07cn99xfiL3w9ncekdXYw6tOS7+TSLdnVrMV+xyd7VjloL7+5EHqD9Y5Qx6i9cVS2RsK2rRksIoLvRKSfdKhWqNCQm+Clq09+LaaepFgdoZb1qkqsQlzyl6IYUO65VQWqlawMQUA/v1XhSdFSIzE7LgzdeorZdHxUm91GntjIneV1FiRdKizYuSn/9fMrFHcW7iY5+Ygv+Wd0q+3iZvfoK7bqY5KypUdUYQvJaiQPXE0FP2T9yXr6Tot5co6aCoxpvJdG/3ktVhUS7OItgXprWUrilaxCspEmS9qVFLifHWqOCNFJkX3/BSyQm3Ro13U1z76Urni5rug0R325Spcd6Y7sjneenVxKZN1K6xRBstgokrmfUxCaucQa+1iYqSaslatTZO5A+yuVKnXZDTYEyf3Ixalb1UFqpLoZYca3XtJW7uahW2TlFGbYtISadMBmNTPL1tonQ2oYJgjYRSaEM0lJyMYCPJsrmx1iw5gLKqjUu47jDOxrIllKJBMDYFf8Ne+qdKxhCD+uSuYXivqYI3TVGpamykpCOwTtynSdiKkum/2pBGcLhuL127WnVX0UwpjKmNU0V3RwU2T66eZ6x6tSXumwYZG6cQZW1snEwJNW6bnDEpFMJr9pL0bU1rJCpF1183Xo13RybDlpsnNm1jVRpKtFErsnHKak39xSpn0Ac5VsZAXYdIpSrDrZbCh72578p0k1Fn1FnPKWp6MXjLEYls4nyZblrRjDqb+Wli22Ot7hPW6FH0tkbG5xL8sHBKFPtOO3daNdYlRZlmLrCLum43Up1K/2ec+hLy7M6okvEN+5dQ3VX5scMS297W+rY0Rk2n9iORrCpn2S+Rf5bjZFV3GYQ1qmxprG0lj64f+7q6bv1ep9bXnasq4dzr1TnPSSX4WRf4XC+sj7BnBetGXY1yhdign5JiXH+uQo+pLIvdpZvIf7ZtzyLTdZWcv1XyvsvgKk4Z2VNlm63guynKuB1siGGqVXbqtwwGqnSs5Pp9Z/qamm5nn1VrL4caKTlN5o/9QJ2u+vs6dX7sB4nctdbk8EOo7ZZ1IVvD176YSHeMWqt129WrxDAVDklRv3il0Jvi6L/98+8oRXPhgzAlHBJeCJnwQqgMb4djQluYk5o/OzwR/h62DH8Jwo1hYHg5fCcUUqr+iqEYpobfhXvCiHB7EO4L64T3w02p224KbeHc8ESoDVeGivCHsHO4I7wa5qXmv1MMYb98CJl8CNX5EE7Kh7CgH6q5h8K7YZNwTRAuCoPCZeFH4ZlQSKlYLIZiuCg8HIaGrwbhnLB++F74e5iQuu2loTmcES4P2XBcqAhHhz3C98Kb4YPU/En/j737jpOrLPuA/z0zs7uzM7vZkAZpJEAIVQjF0DGU0AUUpIpIkaJiAxHRRx/hUazYQBRFEES69N4DSAmht1AChCQE0pPtZe73j9msW2b3nAmP7/OGNz8++SyZzLXXuc+57+ucc93X7/qFt8KUcExIhU1CNnwiHBe+G5aHFYntbwn3hA3CjkEYHYaFzcMvwkWJGcIdoSOcEy4Ma4VPBmGjsHHYN9wdHknse3EhhKNaQqhsDCHdGMLU5hDe6khsHp4rhLBjewip9hCq20M4tT2EhjKu+zWzQhh3bQj+GsLa/wjhwleSsy3bOkL43hshDHogBPeGsMXjITy8OLnvD0JLOCQ8FzLhvpAO94b9wzPhvdCU2P658GT4TNgmTAxR2CLkw4/DN0NLGezoS8MVYWyYGFKhJowJG4a/hssT27a0hHD6WSHUrh1CujaET+4SwhNPJTYP74X2cEBYEDJhTsiEOeGzYWGYXwbDtxR8XJmixVx4lFgkuJR96bZJ/3n70JmAKJVXToJCKFbIxD1h9WsvrLLvon2hZF45CULnf6tqX1DovOqreO4+wrF/VPsQipubqVW9bh/1uodV9/1R7T/ynP8/vO4hFP8k1WLv6zsUr9tHWHMrMVCVy38mkfP/Ej5KMP6/tl/1aVnER1mUrPqi+rf9Rx37qvv/KL7/r+2jqLTAQGLfH/W6/x/af+Q5/3993T7CwX/U9ZbczxqswRqswRp8LLB6BvSWBm79L36wHj+cwF0/pi15Xec8s5znGIcb4xTbeCiB9Fx3POQRu9vXWBMd4BAzPJvYthC4eDmbz2Xse3x5EfPLqGBaptl3PGi8C030R7/whLYymGczzXW4XxrtRNv5jlvK0PSEf7nbcXa2t9G+5WBvJFDMWYkOHS7wB5vb0vo29C3ftqgMsejlFrnYNx1rXSfZxC0u0FHG2F80x8F+b7TT7eQn7k5Q5todt3jPdu402g0OM83MMgTK23T4hYdM9DPj/cR33G5ZGSzX+S18+SXGPsDm07h4dnEuJcWMZew/ndH3M+UJHipTo/u6BraZx5j3OGYBs8rQ0W1W8GPvmuAp63nSf3lHQxnXbY6CEzQaY7ktrXC51sQMX3hco728bbTXTPW2f5UhMB4CV7SzZTNjmjihtTyGb0sDN/6Ab6/PmRO45X/KClVlY/XLoRc6+Plk5r/y7zNTUc24T/KNh2Lfiz7wrpNM0tSDcZh3tO870lmx7m92m887votkEolUy7rHrXawXaz9qQu5vOHfcmgVGJbm5VGsFcP6a9Fukr9621ItnQuiWsYexrnVYbG+Z5rrk87UoLlLfSinyi98wZcT6Cve7u9+7GTNnQuiWKWS81eP2sikWPtjHOsWt2nstK9UaaSRnjdDPqaErVmDU2xuN+ijcQAAIABJREFUsXldcmxVcrZ3sO+4Mtb3896zk59o1NYVDHIq/dExjrFjrP1FXneGGRo7z3sKeRnT7WujfkpZu+MAl3igky9ZPPaM9QzxnG/2qPwphSVtbDaNha20dc6bXIovjOai+OIoTyxhjyf7Mj2vnMTB/Sm2dMN5S/nxMhpW6mJiUIrnRjEuJmkbBFO8YLoVXfXoWSmbqDbd1rFsyQ8UbK7e0m6qT3l8RaWfKaEe0Qv3q3egdzV2uwHkRG42zp4xpbpwViu/7/i3cGMGdXgpyzoxWZRCB+dsx7yXe4aq8dvw3WmrnsL5WDFFvXwHH77e8zbX1sR7M3hzWqz5VX6qWX0vxmGDvzu3pLRddwTBN5zZgzEYBI2anOn7sb7ntnNpfU9tyzYsLXBxApLGDWaaY3lXMIcm7R7wrmcS9ET5b1dr6KXv2KjFd/1dawxTtKDgfN/qCuYUx96s0e+dHev7dW+4yS1dwRxatVpogSv9I9b+fpdb5sMe2potGj3uRnO8Hmv/XTdo6PVk16jV6a7tMRdKoVWHszzbFcwpEmsadPhv8Y09njHHg92CefHY282x1A0J3nAunl0M6m3d5k1jgcvmMjfB097pr/ZlejYW+Mar8UzRhgL/0y2YUxx7fYGfLo33Pc0yM7oFc4pP7G9ockeC/ku/0WJ5Lwm/BvxOq0UJ+i990/s9gjk0Cr6ZgAy3OPDbjp4qvO2KDN/fJHhDeeFO5s/sG6pmP8fMh+PtVwWrX0B/+3FaSjDM2lp4Jz598IKH+9VnjAsMTZrM7Ydu/JznY33PaKWqxF25KfBAgoU5zWz1JQJvwPQEE/QxM0sGr4Jgdowu6BILNOh71wmClxOkbZ72tIoST6INGj0ofna/4KEeqvcrkZbxRoImWU+ZVfLzFZotKDGu7ni3Hz3VguCxBAzfp7xXMkFQr9Uj/RxXdzywqEi1743KFM8kyPo82w9TdE4zTTExcWZb6cqJdjycoL/WU1ZoLTH6egVPGliYHB7SUUKRtFiX/2KCgP5yP03AXu4lNF8KLxb61v9TZO0+lCDtMuvJfkJVM7PKy3QmxuoX0NcaR2UJgciKLGsNrIsJ6/TDKmzTYmg/+oMrkZVV3Q8hYEQCksTYdGkKeAYTEkjYrW+wbInllZEyJqa5Fazbj253mw7DDRrQtkZdvzUKw42K9T3W2JLLp1KlCQnYlqNM6CG9928EwxIQTEYZXPLzCHV9RAV7YoRsSYYvrJuA7TjWYJkSSy3bmXaJw4RcaaZpR2BsfNbB2v2oC+ZSRYLQQBiV7r+r4/gENXJjVZVswJWTMrYfjdruWL+f2pRWjElQOTK0n2Z9Q6Vja27GREreTFJYP0HkHLpu6VBVmWVIfKhaJax+AX3bI0j3in5RVExObRkvcniEs1T1WsAVqmxrb0P6lYAuIiXlNKeWZJ591xmxvidVMrFCH15iZcRp8fHYF23Rh36fEqlTZe8Egrvfc2gfTdBqlQ6zo7qYwFQl6yDHq+o19qycExOkm3a2k5FGSvdaYBUyvuSEWPt9nCTT68ylpA0xyuYJRKa/79N9WK7VKh1vl5Iixt1Rp9JhxvVh+OakfS8BS3VvE9XJ9ildq5D2xQRasKeNp6pXXKqImJhn0sD3YXD2BiX0VFN8bXx8GeI6Gfau7vukmos4K37rwMGGqS5RtFchckSCh6DTVfV5hKrEZGkTYjqrwpmGyfXynhM5s5+Hm+7YIMV2qb5tF7I4PcHNbPLhZHoZrwxVWyfQY10VrH4BvbqOb05j5GZksmSqGLMV33q0+JQegy3s6lv+bJBhsnIqVNnRQc5OkMeFH/m+k52gWrW8vBp53/NtJyQQOo4i7lmbKdniAslFjE5z0wg2LvXw2Qsj5N3vSBtaS1ZGlbTJRnrE50s+AfbGvrb2WycYLC+vSlaFw+zo4gTtY+F0v/Zpx6qS7Rz9IKc5z14JNmQjkfvcZUc7qFKpWrXxxrnNzdZNIHS8tnHOcae1jVepWoUqm9rJTz2YqLr5MJ90nkMMkpVXKavCsXbwa4cnGvvFtne4cbJS8tIGq/Bb29q3n14h3ZGR9ogvm2ysKmlZGRsa5n4nG5FgY27jGm7amjHZYiCuSjFlKHfH3wvAiWP5/gRq0uTTVKc4ZV1+FN/xGFw5nINy/56zw1L8eSi7JmCvZ6U8aktbqVElkhXZTM40W6pLQIPZWtpVctYRySkew94ybkrwZgSnG+ZbhsqJ5EVyIt801BkJAjrcVMk+na0Xclgb/6hkmwSRs3oQZ01j9ObF0JSpYuwkvvsIlQnerFYFq1+VS3csnUuUpi7BVn0vdOjwodlqDVGToEqhNxo1mu8Do43q02siCRZ1FPubr5suf7c7COZaoVLaiIQTuzvadXjPQkPVGhSTbiiFRvWWWGCE0SpKpkEGxgILNGky1tiyqSZBsMB7qlSrk0D2vRdatZtrieFq1axCP43lWi3Saoxcv83KBsIHVmjTYfQAKaz+EAKzm4uBeWj5p11LB3NbWKeqb2+XJFhWYHEH62ZIr0KFxnytOgSjV2G9FPd5gjqRtVaBpNOk4H3tRsqUbBYWhyWBZYF1o1UjVy2ZV1zngwfO6ibCQFUuq3dAX4M1WIM1+P8ZPl5li2uwBmuwBmtQEqtlQG/X7gZ/c6TdfN5Ut7gqtpa4OxZb4hy/tqODHO5UT5hRlv/XvO5EX7ODqb7hLLO9V5b9Pe9z0EPsfA/nv0JDGUzRVsHF6k2xwD4W+qemslhzH1rg+86zo/0d7VQzEpRbdsdcL7rUsX5qBzc409IEqjErEQTT3eZc+zvbLu5wYR81moHQqtkdLnS2XZxrf9PdVtbY52l1pnft4CXHetOLZTAGYYYOR2u0o3rf1+TDMuZcEPzTTPu42hR/92fP9SsYUgoN2v3aTDt7wEEedU8ZWqww2wrfMM0OrnWi+71WhgYvPKHR4Wbb0VvO8YHFZQg0FBRcZYapLrSb3/ubp7SXMfbl2vzM63YyzWc96eGYEtveaHuLBV9mzg7Fn22ltU76xXPT+N5n+fJO/P2n1Jehpxq0W+Jyb9ndLFMtcVVZ+sXlYrVLuQTBiT7tcQ91EYFy8vZ0kN8mYAwutNgke1lkiWYtXUzPi5znCwk0Bh/1uL0dqkWLDh0qVKiW9YR7bZJAbuAnLxX/NHTO5+o069fw1D7xYgMdgj0sNF1bF1kiL3KMnIv6Kcvrjnnmm2R3y9Vr0SIlJavKFS70WfvH2r/iHhf5jHYtCjqkVaqSd7anDU9QZXO5s9zuAi2d161KzlibOs9jsbn4Nq2+ayfveaWrHr1K3v6+4gt+Fuv7bc228aIGBa2CNKqk3GiivRKcuxu1+nynZlJBcZNskMhzaoxK8Fx0qrtc4SUNnTyCvArbWsf9jpKOsW/UbrL7zNLQJV+Yl/Zdm/ieTWN9v2qx7V2nSbs2BWmRKml3O8jOCUpOL7fEqeZ1PTpkRYZKe84EwxJsbB7tcjd7UUNnEWBepU+Z4DYnxe4jLNdmKw96X3MXOSkn7Wc29dUE5a4tzzD3U4RmxeL5DFGW0Q9RtU2suX9eyB/PpLnz3l+ZZehILnmWmpittyB4x4EaPKjQOedT8mp92jhXxTvvBx+rlMuTHvZEt2AOjRrc6yYveSbW/hcussAizZ2Eg5VMz9N8X2vJqtOeOMW3NGrs6iHSps0K9U5PULq3qIVzuwVzilqPb9fzt3h+ids1m9EtmEOD4G8avJ5ABf0cv7LEMi2dYy8oaNTkFN+O7YkSBFc4SatGhc7vdmjVZJmbfC/W90Jz3Oq3XcGcItNzjlf9y3Wx9v9ynfe82oNc1KLBrX5noTmx9md7zzIdXSSXDjQqOMms2Kf8DqGr4cHKZ6sWLBGck0C9/nWLXObFrmAODdrMMN/t/UjjdcffvOPtbsG8aN/hXK9YlMD/6R61QmtXLX2HoFG7UzwYa9uq4LROtuXKs9QsWKDDLxI8KT/jPTd1C+bFY2/1sDc9lEA68CJvm9ctmEOjDmd6RX2Ct4QFpxHq/VuCuL349wXxuiQa67moWzCH1mYWvc+Nf4i3bzCtRzCHggbL3aKxzKxAUqx2Af0x92ssQdFv1+ZfHoi1v939JWnuRQHogXVBmzV7rcR3guBh/4r1/fiCIruvNxo7uCU+JrlbS0mNQngowc3oLg+U1Gds0OSdmLTRCgssL/GaHxS86r5Y3694pE8dOcW2C9PdGmv/tNt73AxWIqPCKx6Jtb/PspIvuvO1WRATGN5R0FDivLfjzgQ30ofMLrnQ6rW5OwFT9BbzerQdWIkqKY8naG72sLklZ81rlmiKGfsrWkratgpui2HYwoPeKJleadDqgQQtG272vuYSV65CZIb43gMtT/bz+VPxbQ/eeJZMiReQ1mYei9dFV++BHsF8JYI29Qli1apgtQvoQwwrQTWgQqW1EuhyDu/nO23aDYl59a5QUZK+DnUJmJpDq0p3yEthnQQVdCOkSiYmMiJDE1zKIf1oZ3Zojz3+7AD10vkEKYvafs57SsZaMQxdqDNCqp9z39/v7o7BA5BQ8jHnrk7U7/vL0ERsxeqSaZVi2Wl82ejaJbmWxbeFoQnKRuv6+U6FlMqYsQ+R1tbPQ8SIBMSeIXIqS1y3rIxhCUpu1+6ntLRdSDT2VD/TNqqJLxceNISOfu53Q+JldGUMFZU4/kilTII5uypY7QL6px0pVWIiRVL2cUis/Td9Sb4X2zEjYxtbWDeGJJKW9gVHypbQpjzNybG+tx/G8Kq+Jz2b5isJ1H6/KNdDm3ElMiTSKDzdKfK9AkilCrvb2bCYCVYpZ5KDZXrVEFfK2cM3Y31vYXdVcn1yphkV9nJSrP3eTu7zhB+JVMnZwu6x9t80Uq7Xma8SOdgQ+ZjANEzK7iUaD+RxRoKa6v1NKEn8Sot80Rax9l+1YR+WagrDVdk+QWA4zZZ9tGSz0r5g49j8/boqbV2i4URO5FsJyDmHmFTylpeWcqT4JPbXrS/Xa+xpkQ3kbB7TrgIGnUzUi8QTVVN3Sqyp9TZj1AZFUejuyOY4NIGm6GBHKtW0IZJSl2C/blWw2gX0YUb4s5vVGaJGrbxaQ41wubvVJrjAB9rL2U6TVaVOrZxqk2zmn/6cyP9v/MRedpOVVWeQKlWOcIgzfS3WNoq4dw8m1JLPMKii+PP327Jtghv2OBnXWEudyCCRGpHRUu43TDbBk+JRDvE1J3aOfZBqWZNt7e8SJARxjD/b0K4qVKtWJyNrJyfYVfzqSMs41wOGGyerRrVBqtX6mkuNtUms/Vib+JpLVatVbZCsGsONc64HSqrC98Yp1naC4bIiddKqRXY1yJ8TbObClXImS6tWbJ9aha+pdGRM2wCKT6P3O9IoNWpUGqRSnSrXOti4BKS2bQ3xe1vJSxskIy9tghr3+lQictKZtnaEiaqk1amUlbaXdf3GrvEDxz+NM0m1nEidlKzI9wz36SQBVdbdTjVCjVpValUZIudmJxqR4K12iuF+alPV3ca+iRq32yHRsQ85l9xBxY3QqK74M3dg8fMk+PkdjNu0GMTzg6iq5ks/Yevd4m0zhlvPLdKGSKmVUittuPXc1Sl0/7+PRFUuURTtg98q3m7+EkL4aYnvHIb/Vmz+93wI4aiBfudHJRa1afOC6VJStvDJPj1C4rDUMs952dqG28SGZft/12yzvGsTE60jwftXN4TA80tY1sYnh8ZXt/RGq+AprapEtlFRtrzVYks872VjjLJhwoDWHQvMsti7RtlcbZlszSCY5VnN6m1ossoy2Zqtmr3hKVk11rdV2WzLBdq8pNE4VdZfBaboGzrMEWwhlSjN1R0FwQzva9FhslEqy5yzjdpNt9hglbZYBabp+xq8Zon1DTJuFQLKq5p9oN0k1QOmsEqhQ8F0sxUEk60rU6b9Cm1mWGqYKpupLXvs7XNoe4OKDcnE93Lrg1kvsWwhG21DLkHfpe4I2jV6Cik5nxSVOfbe+EhM0SiK0ngdUzEH03FkCOGVbt/ZENdi9xDCkiiKRoQQPhzo965hiq7BGqzBGpSPj1q2OBlvhhBmhRBacTUO6vWdL+HCEMISiAvma7AGa7AGa/C/jyQv+6PpUdM2hz5aaxMhiqLHFNMy/x1CuKv3L4qi6CSKO2DrrhvfYa8/BMFrpnncVVIydnK0DRPm1KBFq+s97F4zjDXcifY3LqZ1bncsstAV/uo1L9vaZEc4xqAyXmFfLfDXdhbj02k+nUre7CgIHnCfG12vSpWjHWvrBJtLK9GkzTVe9ZDZ1lPnBFsaU8axL/GBO/zFHK/b3E52d7TqMhqEvWCmy/zTCg0+Y6p97JJYjb2g4C5Pu9GjauV80V62KCNl1CC4UvCYYKLICSLrlPHqPkdwieBtwRSRw0Wqy7Cf8T5/e7HYJOvQjdlzfPLGbB06POU2T7pFrSGmOt66CfYeVmK5DldY6ilNNlPleGslIgWtxLuW+4tXvGeFqdZ1qAmqykgdPG6+K72hXcGRNrSrkYnTJm0KbvKuO82xtqwTbGRCWXO2xd/M8qzFJlnLF21grTIahL3jTde6xAIf+JR97O0zKhLsnVBMrz7yGNdcTyrNUYexQ7xS5SojScrlc9g7hHBi59+PweQQwmndvnObopraYRiDR7B5CKHfQtGPknK5zFc94jItGkUiFbL28Q2H+XGsbYMmO/qqWeap16RSRkbajf7HXgl6U7/mFVPtqFWrZk1y8mrVesjTRiVopXpFOye3FU9WO2oUey7fVUkmZn4HwfG+4FY3atAgJaVK1tn+yxkJ9FCXajbZZeap16BNlbSMlLscbmfxHfdfN8MZdtOuTatmWXmDDPUHTxucIJf+B1c6wy+0atWhoEbOHrb3TxfEBvWCgs86x/2eUa9ZWkqlCr/0JV92YKzvBYJtFSxSlDDLKvalf1DKNgkCy6OCfRS0K5KK8hiFp6QMTmD/08c591GaO4qlq/kKDp7IFZ+OD+od2v2XfbzmSc3qpWWkVTjNH+3hC7G+52qzrbes0KFBUC1SKfKY9W2WYB/hHrN9xu3aFbQqyMvYQJ1/+Zx8gsD2PU/6jRc16xAEORlfsJE/JOhj36LDFHd4yRL12lWIVEi5wqd8th+xmu6YZYXt3KVRu0YdctKqpT1pXxsk2JS9x02+7mjt2rRrk1Njos1c7eFEXVa/djqX/Z3GTtXK6mpOO4Wf/CjWtF981JTLHHqs9jH0aeAxBzeHENpCCG9jJquw05gAb5thmks7SSZBUNCq0Z3O934CosJv3eAN76nv1AVt1a5Ri2P8OJGC/FedYIXlmjvtGzVYaIHvJxC4qA+c0kaTfxPX6vFEgWsStLaY5qGuYE4xyDVp9D9+ZE4CtuR5Hjfb8i7GYosODdp83i2JeqL83LEarejqv9KswWLvu8x/xdoussTpfqZJs45Ooki9Rvd5wm0eirW/zZPu6wzmFDfZmrQ43cUWJZAy+y8F79NF82jGChyboK9GEHy+kyKykpfZgNk4L4H9nOX86BEa2//NQ2ho46bXeWh2rLlprvGaJzQr6pl1aNeqyQVO1aSExlkvnOF9C7R3kaOaBMsVnGhurG2HgmPco1G71s6xNmj3hqV+67lY+9ct9WsvaNSu0DnLGrT7m5meFp+Z/avXvdAZzKFN0KjDcR7poa3bH77iKYu1dBGzGnVYotVXEsgmtmhxumM1a9TeuWYa1ZvpRdf4S6z9M89x6RU0NBaf1EOgsZHf/YGZ8aFqlZAkoE/HhlEUrRdFUSWOQG+e1E3YDaIoGqaYgklAZi8fz7hVW4mGTkHwnNtj7a/xgKYSrMpGLV7x7oC2LVo8Y3qf4Nehw90JfD9SKJ3jasBVCQL6LW7qIbK8Emkp97k71v46r5ZcBB9q9K6BOw4ts8icEizZdm0edWOs7/s9UfI1tUGj69wZa3+daRpKXPcKafd7Ntb+RkpyOt/Aopib2buUDD0tJGhawN1vky7FEG7jxpnx9g+7SnMJxmFaxksJWLK3q+9z1Ys6tE0lWZjd8YrFGkuwSZt0uCaGWV30/W5JPdZm7W6LWW/wD7NK+ofpCfRc7zO/zwgLnZ/Haor2o1XbpNGtCXqx3HYnzSU6M3QUuCN+ua4SYgN6CKEdX8XdeBXXhhBejqLonCiKVr7r3o1FURS9ggfx7RBCPCd5FVAlV7LuOCWtUrwMSK6fV8yCguoY5llaut/UQGUC1tpAR1eTIJ2YkytZnllsshU/9up+cqYFoaRWaXcM1DwrSelhtaqSOdOUVB+yUynkS0i4obO5Wvy5H+gI45IGWfpd+kmEZ6ozpdMq6Yh8AqGKgVi6vSUBS6Gyn5RQSpGkMxCqZUoGZPQhK/VnX4q8lJFKZJ8fYM72N5+7oz8mbKVUbA4/q7rfLq5J9o1y1aVbB2TSZP9DikWJdqNCCHeEECaGEDYIIfy487MfhBBu6fz/EEL4Vghh0xDCJ0IIV/9nDpftHS4qedjBJxMwRU91kHyv5R2JjLeOCTFiwxkZ+zmoz5NmVtbnHRfre+dUaRXxPE5KsL90lGNKPuUWBPs5INb+VFv3WURpkUnWtk6MFFpOrS19qs/NtEq1/RMwPafaqeTnWZWOT3Ddjre3bD+Be2qCTeGTRH1CXwZTFLsmDoR1RCbpy/nL4dQE+fMDJpTuG1KR5ph4SVL7OElViQCSUWUzO8faH2etPsSzChxkkIqY459gsPElzlBexqk+Eev7EOuXfBJOiRyWoFviqTYuGdTXUmXrBCzZo6zXp3FClZSjEuTfN7NVyXYiOXlHJyDTHXYIqRKhKgQO6V0n+L+E1ZApOs4JLlYhK6tGVq1KOae60qAEG3OfN9VhdlOtUl5WrZyRhrgpwYYq/MYfTbRJp5poXk7etrZ3tnNibTMRt1cxGLWKG6JZfDPD7gkC+iY2dZ5fdo68Rq1aeXlXuyFRlc2ptnaACapl5FWoVWmMQa6VTLH2Oy430vqq1cjKq5Izye4O8+1Y26wqt7rIIHm18mrkZFX6ga+YnID+PtnGfuDzsirUqFYrZ5CcW53Tb6Dvjm+L7K4YhPOK5359/C3hErhGyhjF65ZXfDLfX7KAPqiKGz5b3AitraSmotju4Ze7s2kCactJdvcZ3+ya89Vq1RjsHLcnYsmeY4TtVct36mrWSNlElT8maJ0LN9nfSHm1KuRVyEo7zIY+b+NY2+GqXWkPORm1KtR02v/JrsYnYnav60QTZaXlO3/HcFm3m5qoSuZ825hkLXmZrj9bWsv5CR4CIpFL3GaI4WrUynUq8R7meHslWDPrjuVPvyebpaaG2pripujlf2FE+eqJibDa9UNfiXqLveAuKWlb2EeuTF3Q173nX16yjiH2tI1MGSVcQfC4R83yps1sYasyygahJXBXoahRuFuKsWXeVhdY4D53q1Rlb/uqSSA03B2vWOgp84xWa3fjYvt5dEdBwQse9oF3TbCVDWxZlu9GTe7yiAZN9rSDkQmU37vjfYvc51l5WfvYtt8UWn94XvCsYJzIpyiLZdsheABzBZNFNi2TrVjfyp1vFcsW916f4WXKuS7wnhc8KKfOtvZRUaY259OavKjZBJV2LtFXZyC0K7jPe+ZrtKN1TOyn0Vt/WKbFXd7TIdjHWEPKvG5vW2Ga+YaqspfRZbFsg+BJC71quU0Msp1hZY29TZtp7rbUIpPtaqz1yjr2xYu5677i0/q+U6krX8K4B9Zoiq7BGqzBGnxM8LESuFiDNViDNViD0iizLdT/d/CuWe52s5SUfX3GaMmZp0Hwhn+Z6VF11jbZoQNWEvRGqza3eNKb3vcJ4+1j67Kagy0KXN/B8sDUNJPKvK2+rs2tmlWJHKLayDJfP1/ykDc8ZYjRdvBZVQmqTFaiWcFNlnpHq63l7Km2rLTFh9pdb4VGwb7yNiszbfCyNndqlu8ce5Ke3CtRENxnoWcsN161g63dpy3tQGhU8E/N5uowWaUpKst6dX9fmxss1yL4tFoTyxz7c+3c28qgiM9VMaSMedOh4C7vedFiEwxyoPFlpS1WaHKDGT6w3M42tKMJZY39PfPd6H4dCg6ym/VjChB643XTPe9BtYbY2aFqEvTgX4l27W53r1e9YWMTHGCvslKsy7S53nyLtJpiqMll+Ib33ubum4opl70/w+hVJ8nHYrVMufzRr/zc9wWha1Kd47c+n6Daol2bXzvIa6Zp1yIjKy3tbA8ab6tY+7kW2sEZlmrQpFW1Susa7lE/NzjBTeG+Dg7qLINvU6w2ODLNnyuS0cB/YJlfqFdQrLoIuMRajkoQlFs1+5G9vWWGVi0qZVWo8hPTjE2gTTlLix3N1KigSUFWysayHrJhbE9xuEW9I8wTKRJEMiInq3O+EbHBIQi+ZZk/adCuqFgTBFcZ4qAEpXsN2k3xpNfUa9ahWlpO2r/saP0E5+5VbXaxUIugWejqdHmPYaoSBLZ/WOoEc0WKufiUyLcNc06CTp0h8KUVXNXy7zkT4aY69kxQ9rhUi13c7B0rNGuXlbGWSo/7jNEJ5uwz3rW7X+hQ0KxNlYxdTXSz0/oVfOmOi13v635K5zWLRM71FWf4YqxtQcHPHOkpt2nXqkKVSMo57rRZP5VT3bHAQjs6wAc+1KhZTtYIwz3udsMT9HP/lyX28ZQCWhRUStnfcFfbKtGDzJ/P55ffK17Dlev7B7/h6Hj5hH7xscqhv2mmvW3VxdRciSpZj3rDqJg7/73+4Crf1tqLoDPceOebFRtY9vVD93q2i+0IlTKON9VFvjKgbUtg7WZ9KDx5XFVZ7OsyEGZotauFPTRFKVbKzLGOoTFB9Xrnuda5Wrudu0hkrM38zosDO8dOZnpCQ4/K3KzI143w05i2B/UK1vFmHym3vMhtxpgSE1Qf0uIAi/rY50Q+sI6amOzhWV7zG+9o6Xb0KWxvsMfsOKAtbOEDL2nv4b0aP1DrrJhqjUXajTFTc4ljn2YXlt+JAAAgAElEQVR928TckG5t4cjl+lCL6iI+GEpVTFw51TR/9VoX05NiuepUY9wZIw4eBBs4y9u99ENzKv3C53w5Rlxkjvkm+rSmXtqn1ao861obxWwwPugffu+kPsSqOsP93fuxb8ZHOtkNbtPWjZyUkfFZ+7vGxQPadghGud+HvYiIeWl/tLnPx8z5Wa+z3ySae4YqVVkefJ1R8d02SuJjlUO/3XVdNNzuiETuSsBYfNglfYI5LPOheV4b0LZVm/t6BfPi5+2uMi3W97RCaYJKAy6N17t1laY+QYFi3uy2EizK3njAZT2COcUF+743Y4WWl2o3XWMfmkWz4AqLY33fo6Hk0msUXJGAun+Fxj43MopjvyeBUPIV5vYI5hQZg9MtszRGF3SODm/0CuYUWzj8tcRc6o3brCj5HNssuCqBLuZlzX2DOcW5NC1e0tRV3uwRzCkGq/vM0RpDn3/N+z4scX0atbrEo7G+b+pHiLpNu+vcG2t/j0tKsmSLffGnx9rf6I4ewZxiCuYmd8YyRWdY1kOYeyUadLgkRoMX7rye9n6uz93xoWqVsNoF9NDPZQj9/kvf75VC8ck8iX35/5LkG/EdQYr2pcceJfA+0Nj7/7fuvsv9vb3tQ4m3n0C/TMTePkqPPcmZ7/87Sa76QONL6rv/scdjoO981Pfr+LGjn7fWpOutv28lse+PqbkyfRPvf9V9Dzzn4xHCAP7/Q4mR1S6g7+eQfltX7pOg2H8XX1RZ4vU+b4hRMe1IK1WY4hN96P8VMg5NwNjbNVX6AufxxQR7NIepLtmutUNIpCk6xTEqSnxvhPUMj+m2uJaMrUp4rxI5ypBY31PldJQYfV7k8wkIJkfJyZccO1MTbC4eZVQfxmCESQZZK4b8P1bGeiWFjjk2Qf59P7Ulx14tcngC/sQXskoSzQN2TdDF9VDrq+g19rTIFKNiW+BuYqQhJbznVDouQQ77IKW12ipkHGLPWPu9HCdbkiVbYWKC7qifLrEBmpFxoL1i06vbGFSydUBe2nEJNnX3+SwV/VyfqWuYokVMtKnTfFdWtbSMChWyqn3PzxJVuuzpFBvYTlXnZlClnKxaX3Ndol37S3zdCHVqOgNjrWrjjfCzBBs82YirK4tsxaxiQMnjwDQHJrgS26n0ZXnVnSJWlZ2/5w8GG55gU/JgZxhvi66Knip5eYOdnqDREFxhvKHSXfnqGikTVfmBkbG2g6RdZh3Vos5trWIO+WiD7J4gKO6hyuc7dS1Tii0UqnGpwQYlmMY/tKGJ8mo6z1ONtCEqXJ6QGHW1IQaLukJLjcgWKpyeoAXrCBl/MKqzbW1xM7ta5MuG2C7B2A+q5MCq4lxJKV7zHK6qLc6pOPzc9sarVdt546rpZFv+2adibSOR65yqVlauk5Fbo8pk6znZlFj7dY30M99QrUpFZ6vqalXOcoJNE1D/pzjalnbvDOqRStWy8s52XSKW7AXOM8raajqvXI28kUb4vfNibTNSrre1vLTqzi3QvLQphjg6Act2wiZ89XvFvi2ZTDG4V1Vz5nmMHR9rvkpY7TZFV+INr7rTjdLS9nOI9UxIbBsEL7vfTI8YbKTtHS5fBvOtSYvrPeYN82xpPQfaLtFu/0rMD8V2uUsDe6fZLkoudAAvaHOLJlUin1NtfBm+CwqedbfXPWGoMXZ2uFwZYgENOlxrqXe02EbOfupkyhKJaHOtFeoV7K/GNmUyBmdodbtmNSKHyRlTRuldu4I7LDDDMuNVO8zIfps/lcJyBddoMke77VXZW1VZJZvvaHWdZVoEBxpkizLGHgJPtnN3K4MjDs+yThmPY2063OJdz1toQ4Mdav1Eza1WYokG15jufUvtYqI9bFJW2eKbZrvBfTp0+Iw9bFKGMEmx1PYRL3jAIMPs6gh1CSpUVqJFixvd4RWv29REn7Ffol7mK7FQq6vNs1Cr3Qy1qyHljf3VYs48SrHfoYxPHqpK4mNV5bIGa7AGa/D/Z3ysqlzWYA3WYA3WoDRWW6ZoveX+5X4pKTvaU64MXUuYbZ7HPWdtQ+3qk4l1LSm+As6wzJsafUKtzRLkUbujLfBAgeWKG6Vrl9fjyVKN7ve6Khl72kg2ob7hSszytumeMdpIO9mhrNfHEHj/SZa9w9pbMWSj8o69VXCfBo2C3eRia+d7Y5EOD2qUF9lDvt9e3/3hTTO96FljjbeN7cobu+B5j1lgrk1sa0yCHHB3NGt2n0e1aLGHnQ0us6HcB9pN02SQlN3lYlvf9sbLlnnRMhPU2MZaZY29oGCat3xghR2Mt26CjfDuaCxwX31xE3vPPLXlXXbzlvLoWwzJs9vE0oIhA+H5QlHLd+NU+czs0BF4qCAsCqKdUqLR5f2C5hXMvK+YctloT6rKC1VlYbUM6He6znd8UUamsySsw29ca4r9Ym2D4DTnusT1XdUyQ9R50OXWS7BzvVSbvT3lZfVSaBdMMdSNtk4kmvt8gaktuqrG2/BfGc5OGJMv9YSvuL6zaqG4IG92oikJFP8KCk5wqmv9U0XnuRtlHfe7w6gEG5uNC7h2T5bOKub8C+2svz8H/IN0guN/QpP9zNGhWKHRJvi54U5LuH/xe0ucaYGKzlCUxh3G2D4BU7Rdu5Md6R63d86bYJz13eA+wxK0XV5gnq/Y3QJzRSLt2uzpcN/310QPAw/5l4Mc3/X3Nu0u9GPHOTzWFn5ikXMt6rp1Z6XcY4xJCfLwLTp8xmMeskBGpCDYTJ177KouQevhty2yuwss6qwHb9PheNu7wKGJbgp3rOCw9/7dT749cOloDkvAoA+B793Mrx8o9o8XUVvF/V9n4wS67g2BA1p5qlD034FPpri9knyC+1mYWVDYvYUVxdR0aMM3MlI/qRAl2Ph69nquOJZ0Z6QtdHDcNWw+MJ9rlbHa5dDnm2OqiVp6EWSych42u2RD+u74h1ud5AcautmnpHzChp5zc6z/ozzrBvO1ditDy0r5pvX8xMCPqx2BMc3M7/V5DndWsmvM/WCmD2zlF5p6EWFqVHnfuWpiNnr+5BJnOLuHjF1a2vYmm+aegZ3j+v15914K3dxncuz4Q7Y7c2DbFgUjvWVJr7rinMgj1rV1TGB6RrNdzO5DLhosZb4N+pQk9sbv/MwvnaOp29gzKkwx1VUJ5ANPtouXPN5DdzYr5+vO9xkD87jrNRhpa/W9CDLVsp51t41invSnabSvOX3Gvra0uTaIVR062wt+440eJJlKKYca40rbD2gLW/qZl7zfgy+QV+nPjnBkTOvoRe2sO5PGXmGmOmLmhoyNuZ/c/iKHX0JDN7JmhPFDeeuc+GKCL7fy1w49qGdVOC7NRTG+QwgKGzYzq1dBeZ7U1VWiAwZesEvmcO5E2noxRSuqOWc2Ncn3dXvgY5VDv93VQgn2VoS73RBrf4ErewRzik+ur3vXWwZW7G1X6BPMKTas+ksC5thjhdKMvyb8KYGm6OWma+tn7Ld5Odb+Qhf30STt0OFpz/ggRrC3tZ537+sZzKG9kecuinXtXo0la7GbBZckYEteYmlJlmyx4VY8W/Myf+wRzCn29XnYfeqtGNB2kQ+8anofEfFmja5zQazvW91bMuS2aXe562Pt/2SpphJjb1TwWK+5XAp/8XYfxmOrguvN0R5DbXrLQm9Y0If81aDVBQnY0Tf0QwIu4Jp4grA/TOsZzCnG1gX1PBevi+7yXsGc4t+vSLDePB/4oAQ7qIHCH+Ipus9cQ6HE6Y0inosPVauE1S6g11uhrQRVu127xgQK6PX9LP60VJ9A39dHKBmUUJIi3Nd3ac5dUCxhjMNyzSUXYIeC+gT094Z+zk9aqqT4dHe0N/fHF6St1F2qj+/SfNAClibgSy7rhzMY6GxVNjAaS95Ki2NqiTl3LRo7K//7oinBnGvQ2KddBMU5uzyB/dJ+zl0kSjT2/uZmh1CioUFPNGiR6SdMrEgw5+oLxRRLb7QGViQIqsv66WiRiqiPd9/vETZLwNasD/1HyIE11Yu+V/R9AIKOdlriL/sqYbUL6FPsJ1uCjJGWtqt9Y+0/Z2/ZEqmJKpWxRIestK1KbGSlsE+CPOzOqdLK83kcnmCT6CCfkC+R8ywI9opJ98BnHFhSzHqIIcYbN6Btbhh1JUqHUxkmHNj3897YTa6fsUcOTbCp/Fm1JZmibSQiJu3t0yVbpo6zvqExNc0jjVdXYhOwQqXdEuihTrVrydtRXs5B9oq1P6zfsQc7J9g/2NvaJRf61taKbR+8qXVUlmTJZnzOpFjf+9QUxbB7ozpivwS1BIdvTa5EaiQEPjnwlAVTUn0fRKKVn8elwLfth9qdI0qwYDfdj4oSmcRUmk3jQ9UqYbUL6FuYbF+H9VDdrpZ3hJNNiKHuwzcca7zR8p0LISMjJ+sy5yXqkfwXn1Ar3ZWzrZYyRKVfJvA9KOK3mSLDceV0yGOriCMSBPQ9TLSPTbqCeiSSU+k79kxUdXC2bxtpHbnOAFihQk7Opf6UaHNr30upqCHducAyOaqHs/O58cc+QsaPDetielIM5jurdmCCFq4HqbFzpy4mupimPzbM8ATX7Ww/NtRw1Z1jr1Qpr8bvXBprG4n80OWycjKd25JZOcOMcqyzY+3HGeM7viynuus85+XsY4o9ErSMOMogW8l2jT2tOPbfGGFQgo34X5lkiErVnd+tklIr489KpmF7ICPtMkfJqeh6Us+rNN5Q30jAFN00y8lDem5A5iMOr2Ny/L3IiTux8drkO+dcOkV1BX86imyCjfgLK6ija4cmq/j3CxPYRtlI9OeKvgt2o0j0pfg5N34yWx9BZbeqlso8O53EyPhu1auE1W5TlGKlyiPudqsrpWQc7Bjb2y1xGVaTZle61d0eta6RTna4iWXoBL6v2R/N9pJ626tzgrGGJKgWWInnClzczmIcnOKQNBUJK8gKCm7zsms8KyvjeNvbqQzWXb16V7jKgx62nvFOcaL1Eiigr8Ty93jujyyZyZhd2PyLVJVRffeUJpdYZrmCQ9U6WE3spt5KdAhuUu96KwyScoI6kxM8oXYdu2WucpknPWIDG/miU4yO6WHTHfO87Z8uMtcs29rdvr4gV4YwymOm+6urNWtxuAMdYM/E5bJtghuscJMVhkg7yeBEFS4rsViLS7ztCYtsrs4pNjCyjHP3ug/9yWNmW2JvmzjaNqoTzvkQeKiBy5cW0y9HD2bvmuTs6JY2rpnBbS+yTh0n78xmyfStwYJQXG/PFNg6xUkZhpdR8RleLij8qZ35QbR/WnREWhTXs3ilbeC1e5j+d6I0k7/AxN3KY4b3xhqm6BqswRqswccEH6sqlzVYgzVYgzUojdU2oBd0mO1Z73k+UW/j3mjQ6EnPeCdBuWEpzG/jiYZine2qYKZlplugJUF1TG+0B2a08lLbqvVVXq7Bk14x2wflG2NuB0+0sTRJM+9eCIJXtHlaq7ZVuG5t2jztBa96c5Wu+1JLPeFJc80t2xZm+9CTXrW8n6qZgVBsMvWOGd7UvgrXvU2Lt0w3z8yybWGRJk+Yb/4qHDssf4cPnkxW1dQbIfDK87z0bOlSvjg0tfDUK7yZoFSxFBYu4OknWDBwdW6/eGtO0X9Tgsqa3igUeP1Z3nx+1cZeFkII/yd/ttlmm7CqeCM8Es4Ia4fTQk04LeTDd8KY8HaYntj+/HBxyIUJYVDYKFSHDcIu4bNhYVicyLa5I4TD3woh+0wIdc8Wf3713RA6Csl8vxtWhC3CP0MuXBZqw+WhNlwergxvJj72e5pCGDovhNp5IeTnhbD+/BBebE1mWwiFcG74W6gOU8OgsF/Ihqlhr3B6WBpWJLJvKIRw4NIQsh+GULeg+PM7K0IoJBz766EtbBTmh1yYG2rD3LBWmBtuCo3JjEMIN4d7w1phy1AbNg+5sGnYKOwRXg+zEtkWQiF8N3wv1ITBYUgYEWpCXTg4HBLqQ30i+2WhPuwVzgrZsH8YFA4K2bB/ODf8PfGxvxjeDuuHE0I+HBJqw6FhaDgi3B1mJLZ/LFwZTgyDwolhUDgu5MJZYYuwILyTyLYjFMJXw0OhKlwY6sIfQzZcGA4Pd4bm0J7IvmlhCP/cJYQ/ZkO4eFAIf8qF8Nz5iQ89PD89hO3HhLBJTQib1oSwzdohPDktuf2fbw6hZvcQBu0ZQvWUELY9PoR5C5LZtrWFcNrxIYzKhjB+UPHnaccVP0+C9xeGMPmEot9BexaP4083Jj/25x8J4aB1Qtirpvjns2NCeOWp5PalgKdDP3F1tcuh11vobOtp6VW/W63OT83p6vXdH+70gEOdrLFbzXmFCjvZ1oOui/V/2mwuWURTt9OWS3HOSE6P0fsNgo3d4E0relQW56Q95gCTYliuczrY6MO+rLthEXPWideWvNaDjvczDd3k6qpU2NtkN/vxwMb4wnKu69a2oHjs/LaGE2P21zoE48w3r1dNdTWeM8LEmH40r5tlkgM0dfMeiYwywrsejdWW/KtLfdMZPerts7IO8VmXuWTgg8dBfuhuT2vpVnyZl3WpM3zOrgPatmgzxrEW9pJyy6ky05+MiSmbfNdzfmSnHtKJkZS1beAXZsYWA/zKM37gSY3dpNiqZZxgU79P0BP9pt2Z/2gvhnCeva9jXEz5XUM9249hRa+67VwNj77NkBi25GMvsNc3aOw26TJpPrEBz1wWe+jO+wF/+BVN3WgW1dWcejpnJ6jO2uY4XniT9m4vVLksd53PLjFVm8sWcdh4mnrVnOfruOE9cuW1gOrCxyqH/pSrFEq8rhZ0eNY/Y+1/6U89gjnF1/gnPGOOeQPadoS+wZxi46FfJ3iVe8oC8zT2oYk0K7jAK7H2lzUWj6E3WnBHvKSoX7i6RzAv2ra521MWx+h6Ngau7RXMoRG/jCcrelCL5SWSJG24OEEK4GJX99GGDILl6j3o8Vj7X/lNH/JUs2bXuyGWVLXY8j7BHBo0+7lrY33fYXofW4qEsMvcF2t/jwu09TrzQcES75uVQFfz157rEcyhSbtLvFKS8NQd9XP44PESDOEGnvtlrGt3/ZOOEtmlQge3JNBV+fXVfdMc7R3MnM2r78Tb/+WCnsEcmpqKn8fhtXd47d2ewZzi8fz6mnj7+68ujrM3Ch08HB+qVgmrXUBf7gNtJRid7VosT5ATnt8Pxb1ChQUxYsetofinFJYkSIl+qLmkIEJBMCcBfX1eCRozxZz6hwlycx9aUvLzjHRsQK8f4EVuYSLfpb/UjjkJ2I5zzNeu74ZFwIcWxdovGuA7K2Ko/4utkOnnDeCDfs5pd3xoWZ+2ARRvpvMSCGwvNkcocY5SUpYlmPNL+uFLtuqI3cNpWkCqn+rExt5NiUpg0Ye0lXDf3MTCBFs48xaW3ieqSPNB/Knr82bQ9fny+P2nD5d0NgTrhRCYtyDe95IPaCnxsNPaUvy3/wQSBfQoivaJomhmFEVvRlF01gDfOzSKohBFUTxjYRWxkSmqSrTKTaswMcHr4752U1ny9T7YJEb1qDrFhH76X+2YoCXm9ob3UV+nmHLZP0Gnx6lV1PTzdr1rgpLgPW1bMjBlVRpv4NZ1wyOGl5gtKUxJQNLYWWXJTdC8yL4J1GP29akuMlh3tGu3UwKCzKfsUrLme7hhRhgxoO161pEtUXOdkTbV1rG+d7V5ye3bGll7JmBbTrJ/SR3cdq0mJGiutWM/nTQnqJOLSXUN2VRJtmSqknX3iXVt8q5kSrjI5dkufrnab0eyJeZ2aztbJ2jdPKmfqbHl1vG14FtNLPrpjWxl8bhifX+K6hJxoaKy+G//CcQG9CiK0rgQ+2JTHBlFUR+eUxRFtfganvzfPsju2Nge1rN9jwleKW8z+1jP5Fj7bzvVWgb3oMDnVPuVH8omIGpctG4xZ77yxGVQk+L8+HhsuGrftnkP2bOstNHyjjMx1v7TWTbP6LG08xGHVbNJgqD6Q8caJNdF5S4yTatc4OuxLNko4o81Rd8r10EFaiPOS3AzW1fGSfI9KOzV2EDaEQmo+0c4wAbGqe52jfJyTnKEcUbH2v+Pc9Wq6WqZHIlUq3aB38XmoNPSLvRVOVVd362UMUjOfzsm1vcmxjrMLvLdjj2nymbGOdB2sfafcrwhRvcQ+K6St58zDErQcuJ8O6tR0SUVmBLJybioHwHn7khXsdOv/h/23jtMqipr+/6dyqED0DQ0OSs5ZxOiKGJEVAxgGDFn0BnFMGYdHcOY4zOYQVAUUDCgJEGCoKKSRHIOTYfKVWe/f+xq6Ko+1XtX8/h9L759X1dfRYXFOnHtfdZe97olK7gCNhe460IPRYdNgG594PhTUwOb1wfd+8MxJ6ntbxwBDeqCu9L17ffAg2MgT+O6e/x5OXjYk/MYu12+/5dGyiXXDw9fLXPmFXC7oLAO3HSe2r7nYOg0EDyVjp3HD71Phg7qUFUjKBdFDcMYANwvhDg1+f4uACHEY2m/exb4GrgduF0IUe2K5+EQixLEWMAbLOQtbNg5ljEM4FJsmmIJu9nL07zGF8yhKY0YxzUMQmPITeLnIPxrF/wahj4+uLMI2uhLFDKNzTzHrxQT5VxacBMdydNk3YUFvBaAd0NSIPgaH1zklc2KdLCdvfybSXzDclrRiDu4kIF01t72ZTF4IghrE3CsE+7wQQtNsQKBYAphXqKcMgQj8XI9fvyamb8AQV7mPSYynVz8XM9ozuM0bYbwJjbxFM+wkEW0pS23M5beivavlbGQX3mSyWxgJyfSnTs4n8aKhewKmJh8wFxeZRZhooziRK5mqOXM3wpBSvmKF1jKR/ipyyncTC80mugksZ4S/sUPLGEXnajHP+hF1yx0ObfNkTnz8m3Q/FToNhZ81T/YHEQiAR+9DZPekP8+7zIYOUaKJutgfyk8OwlmLIAG9eC2kXCq+sHkINathv88Dit/hM7d4JY74Sh1p46D+HKxzOXv2g9nHAu3joR6mjK88Rh89ibMnCB7uJx+JQy97NAAUxMcFlPUMIzzgKFCiDHJ96OBfkKIGyv9pgdwjxBihGEYc8gQ0A3DuBq4GqB58+a9Nm3aVMNdqkUtalGL/zdxuFUumTq+VvznNuAZYJzqPxJCvCaE6C2E6F1YqH5UrEUtalGLWuhDJ6BvhZQORk0hpb4vF+gMzDEMYyPQH5j2Zy6MVmA/5RzQqA6xgonJTg4Q1OjpbIWogB0Zej3roFzAblEzpifAPoopUVRnZIKJYCcRwjVgKwJEiLODcmXJWyaUEmaPRh/wTNhDOaVVCij1kMBkB8EaMXRBCnLsxMzQoVyNEkIHpdyyhUCwm4RWD3QrxOOwZwfEourfWiEchP07a852PFAG+zX6iFtBCIjskuWSNUEsBrt3yNeaIBCA3btqfr8G9kNQreNy2NAJ6EuBdoZhtDIMwwVcCEyr+FIIUSKEqC+EaCmEaAl8D5ylyqEfDlazg948SCPG0oBbOYZH2YBGHVESU1lGU26hFWOpx7VcwWuE0LvKTQH3hKFeKbQpg/ql8J8sxoRiAeckoMCE5ia0NWFuFhfJT6ymK2fRmONpwEBO5FK2ZUHhf48dFDGPVnxHXeZyPassK2+sEMdkHLOpxzO05mUa8B9e50dt37sp4zReppDxNOU+OvAIi9mobb+YzXTgCZryMIXcz2m8we4sBobXWUMD3qc1k6nHu4xlsVKxpwJRBNdTRl320op9FLGP97IYVLZxgBN5ngbcTWPupSuP8yP6PPa5hGjHVpqzmQI2cQ67KM5iUHr/PzC4PpzVBgbVgxfv0Q/MkRA8fQWMrAdXtIJLm8LCqdqu2bANjvkbNBgCjU6F3qNh1QZ9+71fwPyWML8FfFsAP42EuOZcRgh45THoWwAntZGvLz+qH5jLyuCqi6BdAfRoAd1bwOxZ+tu+czU80QfubgTjG8DTx8DeP/Tts4UWU9QwjGHAs8iuwP8jhHjEMIwHkRTUaWm/ncOfuChaRoiW/INiAgfnSDYMGpDHRv6FW1GGtYh1nMzjBCsFcA9OzqQHH3KT0v+DYfhXhJTnAh/wsgcu1VgYHZCA5ZAyfPiAn2zQVrG2t5di2jAkReXGjo1mNOJ3vlSyJb9iH+fwE8FKQcyLjYsp4g3UDZrHMZtXWJ5CUvHh4F3OYrhCYEMg6MLjrGU3sUr+c3CzmvE0oXrF4K0coANPUl7pyDmxcRSFrGSccmH0EzZxCXMIVgqCPuxcS3ue0qg0GUMZ7xNOYUD4gE/J52TFwmYCk3Y8xGaKUxSv8vCwnnupr2A3/06MbmxL0RR1AT1w8z3qPrIz3oZHr5Mz7Ap4fHD5P+Dq+5TmPHI+LJ0B0Urjl9sHj34NHQZUbxuJQsszZU13xQBiGFA3FzZOl5Uk1aHsZ1g8AMxK2264oe7x0Fstg8vbz8FTd6UxRX0w9jG47Ga1/fmnwsK5EKk0afP6YOZCucBaHSLl8M+WcnZeceoMG+QUwgObwJlFIUVlHDZTVAjxuRDiKCFEGyHEI8nP7ksP5snPB/2Zs/NJLCWSJpxlIggQYZrGbPExpqcEc4AwMaaxnF0KXSlTwFNpwRzk+4c0Zuk/C/gZqjwLRIHnNGZLb/NJFbZkApN9HOArFirtH2ZDSjAHCGHyHjsptSDtVEaEeJVgDhAkzoMsUPpeyAY2UZwSzEEqyL+qse2vsbiKnmoMk00Us1Bjlv8AK1KCudz2BK+wRpl+KcXkvbRgLu3hIY2U31esYS+BKvKFMRK8xRKl/XOUVtGxjQIribJS48nytQdTgznI9+88pZ6lH9gNS9KCOUAkCJMeVbpm2jwIhFL9CJHscf6V2n7jv8FM8y0icGABBDVmuq88ZsEUDcIrGtu+aQMsmpcazAEiYXhRgyW7/EOIhUmp4xcmRIOwUq1HXyMccUzRP9hDwCLvHSLGRg3G4O8Z0hNunGxXsP7CWIs8A2zXeITbCJbV3nHQ6p+3lo0pvUwO2SfYpNE9cEMGzVQHBrsVgRAouYAAACAASURBVKGYcMbkxBaNXP5G9lvOoSPEWaORMlrDbsvAa2CwSUNkekuGM2ciOKDY912YGav0N2ikPTayzzK1EyLG7xqpwjVELYdbB7BRMRAD7MnQ0SIclMGpOuzdKokwVtixXumajdutOxQGQvI7FQJrwerCs7kgXL2mOyCZqlbYv1uddtm6GVwWs2jThPXrNHxvgKjFZRcLwf6Navua4IgL6H1oRY4Fs9CDg14KXUyAgbTDbrHbMRK0pfruWl6gUYYn+84adaXdqTo7BymLdbxGKfVAeuC3IOHYMOhJJ6V9X/IsT7gBNFOQqgrxpRCiKqOH4rgB9KSpZVDz4eI4hZYrwLG0smQ1xjHpoZF26JGhXtyPg/oKpmpz7FgVe9mAfhryd71oZpkS8uNigIZS1nF48FjYR4FuGnXsbbtYf15QBB5FU7UmR8la6nTY7NBRg7rRs7010zPHB700asHrHgeGhb0Zhhz1JU/rDJnAVkermaLtO1kPeC4X9FcrB9KsF7gtsmlODzRVE4xrhCMuoJ9JN1pSH3cK29JBJ5pwIu2V9uM5C38lxh/IoHIHw8hVSHIZBjzloUpI9QFPaqiBNTfkinJlezuyTOhajYB+AadRRMFBtiOAFzcD6E4fMty1lfAgbfClCb75sPEArQ9qpGaCHRv/YjC+tADmw8FjGtqSHShiKB3wVtp2J3bq4uUyDYbv5fSmLl6cldYJvDg5jaPpoDGgPE5vi2238zi9LQf4ynBj8OBBJVYJA3keH7BoQ5GO3jRnIC1T9t2FnYbkcgE9lPbXkUcuRsoKiQ+DC/HTXGNAue3fqWxFkO/HPa0Oat4cOO/v4K60m4YhGY8XqOVUGdwHOrVJDepuJ7QogjOPU9u3uA3sflIilc0HTa8Bl0bl811PVx20PF75uQoF9eHy68BXmSVrk6zX625T23c+AwpagaPSfMHhgaKOcNRgtX2NkKmv7p/9dzj90EtEUIwVE0UjcZtoIsaK8eIjERBhbfvVYrs4Vzwr6otrRQfxd/FfMVeYQrOptxBiZlSIvmVCFJQIMahMiO80eysLIUTcFOKZhBCt40IUxoW4LC7EFn3XYq/YL24UD4oicYxoLgaJB8TzIiwi2vY/izJxhlghCsQc0UUsEhPFDn3nQohPxBrRQ7wpCsQzYoh4XywV27VtoyIuHhdfipbiftFAjBdXiQ/ETlGibb9TlIqrxWTRQNwvWopHxONitohq9vQWQoilYo8YImaKAvGu6CGmik80+4lXYKIIiS5inygQe8Tp4oD4Seif+LCIiQfETNFc/FMUibvFjWKy2KvZi10IIbaImLhc7BaFYqNoLTaLZ8QBEc/imv3xOyGuOlGIQQVCjOorxIKZ2qbCNIX4aoIQV3cQYmR9IR46V4jNq/TtAyEhxr8gRJPThGh0qhBjnxaiRK8Fv7RfL8RPFwrxTX0h5rcTYvNL+j34hRBi0TdCjDxGiD4FQlwwUL7XhWkK8d+Xheh7lBBH1RdizIVCbFivbx8sEeLjcUKMbyTE3U2E+PROIcL6p90S/JX6odeiFrWoxf/L+Ev1Q69FLWpRi1pYozag16IWtajFXwRHZEDfxU6uZCRN8dAcHzdwKfs1ShYrsJid9OdDnLxAIa/zCEuzorFPYDctWI6D72nPj0zXEDmoQCQBty+BOu+C6y04eRasyoISvJntDOcGPHQlhx5cxT0pRCMV5gWh5yZwroWi9fD0fn3WnEDwJa9wLU25EAfj6MJPaLA7kggS5yaWk8fHuJnCMOaxPottX085pzMPN1PI42NusqiLrw5fMpuu9MVFHZpxFK/whrbQtEDwNFsoYhFO5tOTH5inUS5ZgdI4XLUWchaAZz4M/xU2Z9G94DcSnEw5LkqoQwm3EyKSRfuBldPhofZwiwPuawHfT9D3LRIC85EoicIgCWeQRP8wYrE+S7V8H7x+qewMepUHXhoJJRriGAf9/2iSOD4sfdcLYt4TRcT09/3Dn6Dt4+D4O7R5DCbpk5uJxeDep6FeT3AeDcePhB/V4mIHsTMMIxeB9yPwfQyjF8O+mnUb0cIRl0OPEKEfR7GL7QcVbJw4aUkb5vOLki35C/vox4dV2I5X0IEXNKo1XmUXY9lUhW05mXacTl2l/dlfw5fbIZy8Hwwg1wmrzoXGirbgZZTTjqHsZf/BAciFky4cxVKmKNmSS8MwaEuqJqnPgFvrwiManVQ/5Qmm8ACRSmQaF17u4nM6aRy7QXzL9+wjktx2G1AHF2s5jQJF6eA+IhzFTA5UalTgxkZ/Cpij0dd7Lgs4nXMJVarF9+HjXu7k76hLFu5hA8+wLeW8+7Axh270oXpxSCGgzwpYGTikeGUDCp2wrg/kKgpVtmPSkTJKOcRR8QIn42CaRpXNr5/Dm+fJ+ucKuHww/Gk49hqlOYkbo/DfeBV6tG2JB6NT9XNCMwH3dIbd6yGRLH+0OaBOY3h8rZotKf4wMbuFSRn3vcC5duzvqqmWE1fAlZMhWKn00ueEN86Hi9QFRlw6DqbMglClwTfHBz/OgDaKKulIAo6eBdtCh3o+OQ1o5YffhoJds+V1Ov5SOfTP+JgD7E+RI4sRYzvbmI26ycKjLK3SlCqY1FcsVvTmEAjuYYsl23I8W5S+15XAV5WCufw/5Yl/YZXSnPeYQTmBlKeJKDHWsIH5qAfH+/dWFZgOCni2WOqiVocEcT7mkZRgLv2HmMg9St8rKGYp+w8Gc5B8Ealtqab8vckfhNKeoyKYLGU/KzSekO7hgZRgDhAkyGM8ScxC7zP1d4kqwVx+bnK/Bkt1fgmsCabKF5pAeQLe09CifYEIIVKFg0LA18RZp0FsmnZnajAHyVb87F7105koFvBmvCo9Ogzmw+pOVytnQfG2Q8EcwIxLOvyyj5TmmE/FqgrZhoCPEojt6qfqu2amBnOQ7++aqfa9fRd8+HlqMAcIR+Hfb6jtp26DfdHUBn4xATvCMHOH2r4mOOIC+ipWErB4TI8QYg2/Ku1/ZK9lpzwXdjYodDVDmBRneMRfp9GoaVUJOC2OeMSEZXuV5vzIKgIWbM8EJr+hpu2tzECItAHbFJmLMvYSz8Co3IZ6NPqNUks91RAmP2ikLn7gACGL4GXD4DfFeQNYzVrLz6PE2KfQ9dxGNOON8rNG58TfgliG3YAJP2p0D/yBhOWRdwGrNFKFe363/jxYLAN7tdggsOQumcBPat/bf6s6mIDsc7JNfbvCDyaWt5wbWKPOLmzOcGltLlYPZus2gsfiISAehx9+Ubrm11Iot9j2UEJ+92fgiAvoR9ERv0UzIw9e2mkQi7pQYBlYoiRoSfUyJF5s1MlA5GiloYt5dD7ELO4Blw161FOa05Wj8VmQn+zYaK/BOOyQgVSYABorHvtzKMCeofFZIw35vPbkWuarPdjprmjMBdCNfDwW6TSBoL0i5QHQLgMb1YGDAqo/+I1xZZwHd9RIebT3YZkI9Nugq1p9j+7YLWNqFDha4xYuyHBpePNl6qVatDSs6c02oIvad9HR4LTg67lzoLGOalA3m3W/jAjQTp2zaJqf4fM6alJV2xayuVg67Hbooe5lR/tcyLHYdq9dfvdn4IgL6GdyHrnkpeTKHTioTwNOZpjSfjy9qwQGHw4upT31FPR3A4P7aYIv7bD5sPFoSst4axydDycUgSft7nbb4SaNC2QUZ+HHkyJ27MJJa5pxggbb8v4CmTNP2XYDbsiXwaU6OHByDv/AncaTdeFjJA8pffekLt2ok8JINQAPNsZoDEZX0RpP2lDsxkY36tBLEZABHuI+vGmDoQ8ff+fWFOatFfzYuYHGluf9AY12EyfkQ2svuCptvA15Y49Sk1y5CXeV6YIHOB4HR2vILp71GDjTArfLB6fdrw5qRj0DLrVXpUd7wDZerSHXdRjkNQB7pcBm2MGbB71HKM2x3eGkys57gTNtGE3V4evhoTJnXhk+Jzx8qtp3kyI4+2TwpoUFjxvGjVHbj2gK+c7UwdxhQKEbTrfW7T5sHHEB3YOHL1jMyQzDjgMnToZxDp+zUCl0DNCNQmZxFt2ojwHk4WIs3XlRY1EP4AaK+DctKEoGgZa4mUBrztYIKgAfD4Yr28mb2QYc0wAWDIOmGoK3eeTwPR8yhIHYseHCyQWcxhze1tLVHOCFTxtDx+R0r64NxteDf2mKRw1nPCN5iNykFmUR7biNSXTlZKWtgcEsjmcULQ4OSYMoZBEnUaghzl2Ih0WcxCAKsSEHglG0YBbHa237SQxiIm/RNjlTr08BD3IP49FQOgb+RSvG05y6yWusA14+oRP9FU91IIPmnK5wQaEM6nZgSF1Y3B3y1JcsTbGxgByOSTYp8AJX4mKqhrg2QJezYNQEqNdSvs8tgnP+DcffoGWO7UUXxlgH5CFH4W4GtllujG7q8GF3wN0LoedwsDvlgmi3YXDvYnAp+sgAGG1t2L51Qx+b9J0DXO/AprEgCjC6F7x87qGZepM8eHE4XKopv/P2v+GGUXIh1DCgdxf45l04Sj0HwWOHxSfB6Y1lIHcacE4TWDQYHH9S5D3iqlwqo+IRXlckOB0mwjL98v+FvRBykUtX3LmK/eHuu6i5b5CKT7YazgdEcutreuxMBAaHc95rvu0V/g/nvIN6Zlyd78Pad1P2I6kphCkwanjhHO6+H45vOPx9Pxz7w933yqiuykVjfvB/L2p6UVfgcIL54dobhrVYq7b94W77YV5YhxMQjcPc+sM/b4c3PTrc8/7/l284vIAGHFZAPdx9PxzfcPj7fjj2/xuBXAdHXMqlFrWoRS1qYY0jMqCXE+Ue5tKSl2jDyzzEAsJZMAY3sZ5buYR+NOEMejKDSVn5/yYOx5dD41IYFoBl+q4xMXmVOXTiHppxO9fyNjsVSkmVcYAEd7CPFmymHVt4kgPEsmAMrmYT5/NPmjCCPlzDJ8zX33hgFgEGsonG/M7ZbOXnLHQ1EyY8txLaT4Rm78It38Fea80NS+zlALfwPM04n/aM5jmmkMhCV/PnCJy9DRqvh4GbYVaWgsOfJKBPGJqE4PwIrM5CLDmGyZNsoR1LaMFi7uAPDmRxze7bCU9dByOawehO8Omr2Yk1r18Gjw6DqxvDfcfDym/0bQHMSXESPUMkmgRJXBJBrNd3Hg/DwofgtTbwakuYfw9Es9AID2+BX/4Gc5vCwq6w7a3sxJoXLYShp0KLZvJ14Xf6tkLArLfh8q5wblN47ArYpSGscRABE+49AK22QZvt8FAJhP+8NPcRl0NPYNKHCaxi70GCkBcHvWnEXC5RPsxvZRPD6EaQ8oPBwIuPG7mH67lL6f+TKFwSqqop+rUfBmgksK7lbd5h0UEZPAd26pPDbzxEXUUJXARBN7axkdhBzSYvBoPxMIMipe81bKYP1xAgfLAW34eHJ7iGGxiutH+HEq5l10FtS9kT3GABzemusbB58dfw6SYIJuOYywaNfPDLBZCjKJgoJ0hnrmAH+w7q9/hwczbH8D5qYcwfw3BskiVbccX7DHilAYzOUNpWGS/F4I5K/Bob4AeWuuFojWnRGfzCNxwglKwbd2PQEg8/0UvZi76sGC7tBAf2HiLoeHxwymi4/RW17zWL4MGTU2vOXT645T3oe47a3nwsingkfkiuyw7kgO0nD0aL6rddCJh4AuxcBvHk4G33QEEHGL1UCmVUh8guWNgZYgc4WI9u90Oz6+GoJ9TbPns2jBgOoUoTB68XPpoKJ52ktn/lH/DxixBO7rvNDjl14K1fpEBItUgI6LsTfosfCuJeoJcL5jWscR7mL8YUXc869qewPUPEWcFO5mmwNV/mMYIEUmZ2IYI8z0MEFSQRIeCWsLWm6O0aE9Wt7GcC36VomsZJUEKQ15irtJ9CgG3EUwT4Qgi+JcxyC1m+dNzHfwkQSSFWBQlzF68TVbAlTQRj2ZMiVCyAIILxGjJqaw/AJxsPBXOAqAl7w/CONecnBW/zJXsoSRFjCxLhExawVuO837kXAiKVbRkUMG6vXCCuDlEBd6WRJU1kfLtfY5K9nDK+rRTMQQ7O24gwRePYffqKDOqV2ZbhIMyaAHvUyoO8Pa4qgSgahP/eqsEUDQjEw/FU7cUEEADzMTVTdMtc2LXiUDAHSISheB388Zl62zc9A/FSUshFiQBsfh6iGu2b7hiXGsxBvr99rNq2dD9M+c+hYA6ylUGoDD58Rm3P5yFYG0+dkYeAH2Mw989p6HLEBfTFbKfcIviESbAEtUjhYuaRsHjUdeBkQwY2YQVCwLYMN8CPGk/+y9mM26LmOUSMb1ittJ9PmHKL9IoAlmoE9EX8imnBLBQINit0PfeQoNzSFpZopF2W7rEu1QrEYY6GtuRcfiRo4ceBnWUaiqzLMmximQl7FOduk7CUtcQEvtPIPCyhzDIpVo7JAg2W64o5VUWaQfZBWbtc7X9jhmZU+7dCVJXyWiMyC+HOU+/8zqUygKcjVg471PrYFM8FYUHusbmhfKXaflUGEvOqVerB7I+VUi4uHbEo/Kief8GSKJRbOAkL+d2fgCMuoLcgz1Jb0ouDZho1wc0zkFhiRGlA9dX+HqryKyrQUOPpqTn1LHO+Dmy0pYHSvg0OS21JB9BMo2CpeQYfMeIUKtiadaqpr2is4zsHy6DmskE7jZRHW5rgsvAjgGYaxy4TE9YA8hV3QQODjM8vzZWeoTkeHBZHz4NBa41UVZO2qcScCiQS0EDNZ6NOhtSAy2cdsFLQOANTFKCV+qLPbQYOi3pzhw/yNA6etw2WUcqMgqep2r7AWkqW+vXVGY/CpjJ4p8OwQRO1DC40d4DfwonXgGYaIsQ1wBEX0C+kI660zTaQAf0cDQr6tdyJtwrb0c3xnEqhIg9tM+Bmt7Wm6HgNnkN3mtOeRim6mNK/g5s1yDmXkVtlKLMjg+0pCj1UgHsYjS8tgHhwMZITybdop1AZbmxcST6+tMDkw+Be1K0ajy2S3STTO8w5bXC1BgX8Gs7CmRbQ7dhoQn2O1dBTvTcDS/bKPPAo7oJ8A0baqXKEfcA9arIkp1CXOjiqcDqd2LhMQw/1vJvBkcb9tzuheXto113t/9zx4E67aN0+GHazuhTPKDLgVBtVxh0f2O5U73y7c5IBPe3Y213Q/kKlOS3HgS3Nt+GC/H7ga6u2v/2OVE1QkO/H3a62bdIGOvUHZ9qxd3lg5Di1PSN9VLlhDcBjwHA9Uli2OOICeh5u5jGKztTHjR03dnrQkAWMxqMxU+zLcTzOG9SjPl58uHBzCufwLO9p+X/ADde55M3tRxLX7nXDlWrxdQBmcRuDaY8LB16cNKUun3AjR2ssajbAzmwacVRypu4C+uJmPo0sZ4DpGEo/nuMm6pKLDw8eXFzIYF5F5+qEp2nAZeThwcCPQT42HqeQ8zV6qRgGzDlTBnaXTTJlW+XCzGHQXKOvRXMaMosnaEUjvLhw4+RYuvAtz2pVtZ+fC4/Xl7NxvyHvqcvy4Gn15B6AV50yqFc8pdUFnnPAUI2JlgOD+XSjL7m4MPBg4yi8zKYrDSy7tKSi+dHw6Cdyxuj2ygDTazD8W91cFIDBV8KIe8GTI8WeXV4Ych1c8ICeve09N5xtlxR8H1AfjDecGMepd97hgYsXQMOeYHfLv/qd4aJ54FY/UJPXA7pOBFcR2LxguKH+UOg+VW/bb7kVbr0N/H755/Md+kwHj0yFfqfJ9JbbC/WK4J8fwNE9NYzzbDC/IXRJti9wAz2csKChvAD/BBxxVS6VsYNybBg01GiQlI4ECXawlXzqkquRqklHUMBuAY0McNfg3OynnHIiNKNe1jQbgWA7CVwYFGr08khHnDhb2UMB+eRq0scrI4DJHhI0wYGzBkSXvSHZca6pP/uFfoFgK3vw4qK+RlOvdMSE7CxZaFf3r7FCmYB9Apoaks6dLfYQJYqgMa7sz7uA3VvAmwN5ep0mUhCLQPEOyG9Qdcau5b9UQLHceaMGzbwDu0CYkFODPibClOWLjnxwZn/aCYdh504oKgKPOstVBWUHIFAiU1w1IhjtSMjpc8PDT7VUV+VyRAf0WtSiFrX4fw1/qbLFWtSiFrWohTWOyICeIM5CJvAUg3iGk1nC+5bleJmwn1Ie4B0GcDMX8DCLyEIkEFhFmCvZSn/Wcwvb2ZSxDMAaXwg4MwHHJOAp07qyKROiCF7F5AQSnEKCjw62utLDbgF3J2BAAi5OwLIsH9B+RnApCfqT4A4SbM/Ct0AwnW8YxlUcy8W8wLuEsmCahkjwAps5lqUMYwXT2ZPVvm+PwB1/QP8VcOlq+DkLtiLAslK4eCUMWAJ3/w67szjtQsBHK+CU5+GEp+HV+RDNgmEcKofpT8M9x8DjZ8JP+lKuEpsCcMuP0P8buHIZrMpSYWHRdrhgBgz4AB5YBPv0Kb7ChN/eh0knw8RB8MsEqVqki0QJFD8OWwfCjuEQmpPdpq/fA9d9AP2fkK+/a6hEVcbcYhj+EwxcCo9tgJIstj2egLeWwInPw0kvwPvLsmP4ZosjLuUiELzAGaxlLtEk28GFn26cxRjeV9rv4QDduY79lBEmioGBFxcvcROXcYrSfgEBTmUjEQQJ5CK2FxuLaE1HjRK0R0x4TBziaXiBVsBSW9UqjHQkEAzGZBmHSC5+YBTwikYufZuAHiaUIvUBZBtaeMeAczWG9i8RDMckjKzBdiX9L8NGa4188N95kpd4/6Dqkg8PHWjDQj7ApVgcjGIykKWsInBQCs6PnetpyhO0U/r+IwS9V0AgIYlCNmR1y8cd4VSNfPTHu2D0rxA25b67bZBnhxX9oIlGTvba9+HdJRBIDgI+F/RqDt/eCnbFsY8E4c4+sHvDobpxtx+G3wUj7lb7ZlUp9P9WLlzEhCw1cttg1rFwnIaY7Fu/wfWzIRSXdaIeO9TzwE+job66umr6xbB+GsSSF73TD81OgHNnqNdQzFLY0gMS20Ekx37DB/Uehzo3qTd9+WY44RkIxyBuSi6ExwlzbpPHX4UXt8Df1x2SaPTaoMgFK/pDvqIGQwg48zWY8/uh8+53wRmdYOLlat+Z8JdKuaxlDusqBXOAKAF+4lM2o2ZZ/Jsp7KWUcHJWLRAEiXAzLxHRmGlfw3aCyWAOsj65DJNxqGXM9wl4WKSS7kLARuAtjXH1M2A5qYzFAPA2sFZjpvqgCcVwkIJkJv+va4VkKVcHgeBqTIIcItlEgRJgvMbT0VZ28jzvpEjoBQmzmg1M5gul/YfsYnWlYA4QIMHzbGGrxiz/ruTMqkLX00TepNesUxNMEgKuXS1/X+E9YkJxDB7aoHTN2l3w9uJDNzVAMAortsBnGlJmcybAno2pJKBIAD56GMo02JKM/RnK4jKYV+xQMAHXabCSogm4+VtJ8a04TuGEXNl+Uj0h2/kD/P7poWAO8t9b5sKWOWr3JS+lBnMAEYT9/wBT4wnrpg+hPCKDOcjX8gjcqNG+qTyeGswBQibsiMJLanIyc39PDeYg/z39V1iWTT+YLKAV0A3DGGoYxhrDMH43DONOi+/HGobxm2EYPxuGMdswDLWMSw2xmm+IWFD0E8RYjbrj0GcstqS5CwSrFBTyECZrLBiZApinoS25CGt5xiAwTSOgf4FpoaYqMUcjoH+BtTxjAJRSx3vAcsgygdlKzzCfZZbKQAGCTOdbpf3n7CVgMXA4MZivoUn6TYk123NnFPYoGOwbQ9Yi2nFgpkZAnbPOeiZaHoEvNLJ9y6bLWXo6HC5Yu0htz7y91qyu1eVy1l4dfttnbRs1YYZa3HvLHOv0SiwAmzQahAWmpQbzChhOiPygtl+cYcBdslE9kK8ok6IU6QibME3dsYFv16UG8wrEEvK7PwPKgG4Yhh14ETgN6AhcZBhGumDaCqC3EKIrMAXQaJtTM+RQH6cFicaBmxwNgksh1rTEGAnqKeqpXRgZy/TqaKQ8CrAOKjZQcFQlGiRrz9PhAAo0Uh4ZSHMkQFkAWB3tqK7SMxRk8ODATiPUkklFuDOyDAoUEnIAdas5PTmKU1fHcWiGl476GsSiAr91WsVlhwYaNfh1Gkl2YjqECbkaGRPyM2yky5CkgOpQzyMjkBUaqGsfvQWSRJQOhwd8Gttuz0DPEHGwa9jnZEiH5bjV6Z4C56GHmnQ01OCd1M+R6Z10uOxQP/tKay3ozND7Ar8LIf4QQkSBicDZlX8ghPhWCFExh/ge0CDl1gx9uAjDYrMNbPRELVI4lhH403LdDuz0ol1GanwF7BhcRp0q9HsfBjdqSND1BxpQ9aB7gBs0zsTlGJZBzQGcrjZnnEGVin0XMBgoUFzcPgyGU1Xe0QfcqjGYDKY/frxVaq+dOLmaC5T2V9EEpwVD2I+dwRpDym1NwZd2jN0GnFMffIqAXuCCk+qlaoKCrGMfp/Esenpn6z42Dhtc3l9tP/T6qhR9wwZ5hdCun9qeW9pW3UmPDS5tUZW6m47medC7oaT0VobfAWPV7Jp251oPRoYd2l+kNKfOLTJnngI7ONqAq5Pa/trjwJsWVL1O+bkKHXOgrQW72WeDWzXy7xf2tD68NgNGaDB8awKdgN4EUnIRW5OfZcKVwEyrLwzDuNowjGWGYSzbs0fjmcUCeTTgBqbhpx4ecnGTSy4NuZlZeDQYi2cygLu5GA8u8vDhw00P2vKxRgtWgGdoxKnk4EkyJd0YXEQ+f9eYZRoGfGWDdsjAmpd8fcGAXho8jRYYfIiN/KRtDvJEzMZm2eMlHRcZcIshB5A85IJsP+A9zZWU17BxAtI+P/k6BrhOw7cDB9/wFi1pQg4+8sghFz8TeIwOqBtjdMDPBDqSi5087ORgpyUevqEXDo3L+NpGMKZIEvTy7TKenZAPr6vXUwF4tzP0y5eLYnlJ+1uaw0UaIs8eJ8y+BZrUkTPDPA/ke2HSGGiR6bGpEtr0hitfkAuh3jz52qgd3PuVJjHr9qPgomZyITTfKTf+1IbwTDcNrINArQAAIABJREFUY+CjM6F7IXgdkOeSi6J394Mz1efNnQfnzQJfQ3DmgisXPPVg+DTwa7B0vSdAwb/A8IKRJ4O7qyM0/lxv0x86E4Z3A7cD8j3y9exu8nMdfNYdOvllEM+zy/P/eFsYpLGQXpgD06+GAh/kuuVfgxyYdZ28Bv4MKKtcDMM4HzhVCDEm+X400FcIUWWN2TCMUcCNwAlCiGrb/x0usShBnI0sxYadFvTCliVjsoQAP7KeIupyNBodjtKwmSh/EKU97oOC0boQAlYiFxR7oa5uSUcUwVLkbLkn2cuS7U/6bwK0rQHbcQOCzcj8W2ENWK4/sooAIXrTGU+VOX/1iGCylFL82OhObtZsyz1R+C0Izd3QSkOkOB2/B2FbBLrkQL3sTjumCcu3QCQOfVqAK0sByEgQ/vgBfPnQvEsN2mnvDMPqMmjth+Y1oIqu3g+7gjK452d33swE7PpBvjbqI8Wis7Ivh8hysBfozczTse0ArNsN7RrIgTVb/FoO+2LQMxdystz2eAKWbpYz897N1VVNKhwWU9QwjAHA/UKIU5Pv7wIQQjyW9ruTgeeRwVxZ6VnLFK1FLWpRi+xxuGWLS4F2hmG0MgzDBVwITEtz0AN4FThLJ5jXoha1qEUt/vehfHgQQsQNw7gRWfVmB/5HCPGrYRgPAsuEENOAJ5Ep3cmGfA7cLIQ468/aaIFgE3P4jYkY2OnCKJoyUNveJMJOJrOPr/DQlKZchZeW2vZ7KOd/WMSv7KQPzbmMfuRpkIoq8FsA3twJxXE4swDOKlCvTVVAIPiKOJOJ4cHgMpz01ugyWYEQMT7gN+aymVbUYQzdaJpFc7KdlPMGP7GW/QykCaPpjF+jY2AFfqKM/7KdMhIMp5Bh1NdOGZmYzGQ2H/M5ufi5govohv7zdwDBOwgWIjgKgzEYFGWRstlaAm8shQ0H4ISWcFG3qgtu1UEsS2C+lYCwwHa+A4bYMDTzJmYCtk+DbdPBVRdaXwn56bVm1aHUhLfKYWkUOjnhbzmyQ5kmyjfCH69DcCsUDYFm58vOibpYtxC+fw8Sceh3IbQfpJ8yipHgY35iJqtoQA5XMYB2Gj3wKxAohgX/hU0roHl3OO5v4NcpzTq48WXw5kbYGYHTGsK5TaouEmeAEDA3Bh9EZPC8xAPHZJmqywZHHFMUYCbXs5K3iSUpNk689OEWTuRRpW2ccpYwkBB/kCCAgQsDB92ZSn0Npuiv7OAYniVKghAxfLjIxc0ybqepRve/t3fBtesgZso6Zr8N+ufBrC7q7n0CwShCfEqMAPLxyg3ci5u7NAaUA4TpywS2U06AGG7sOLAxk5Ecp7GO8AM7OJH3iZEgTAI/TgrwspTLaaDR8fJFtnAH64gkGzX4sXMSdZlKN2VQNzEZzuXMZj4Bgtix48LJk/yTG/ib0vceBL0x2Yesu/cgWb7fYKO3RlBfsBGGviXzoZEE+J3QOA+WXAd1NHLx5mNRxENxyeqSOw9n27G961IGdTMOc4fCvu8hHgDDATYn9H4FWl2q9s22OPTaKeWZgsjVcJcB3zWETurBeMeXsGC4LBU0o+Dwg781DFkk/63ClPHw1X8gFpIl7W4fDBwNl76sto0QZxDPs5LtBIjixIYDO+8wihGoS0V2r4eH+knJvWgoKerhhfsWQwMdkYqp2+CSpbJuNSbAb4dOeTD3BLk4rMCNZTChkmylF7jJC49XLz9QLf5STNEd/MBK3kqGNAEIYgRZwrPsU0jIAWzmOYKsI5EkAgmimARZyahK/M/MGMNESgkTSpKTgkTZSzl38KnStjwB162TbLMKrkXAhO9LYZJGomoOiYPBHGRcCAEPEmGrBlvzMRaxmVICyW2PkCBAjNFM0+qJchkzKCN6UM81QIwdlHMf85S2+4hyO+sIVeq6EyDBNxQzg71K+xl8yTcsIJC8NRIkCBHmdu5nH/uV9vdisoNDLN0wUAZcrnHchIBRkyVJJJK8RAIx2HwAHtOQIhNbTcSDcXmyDu08fJqAOWr/myfB3mQwBxlYEyFYdp2UclPi9gOw1zwUVUJAqYAx6uNmJuD7UZAIymAOcjvK1sGa/6hd71gDXz4rA6qQtyuRAHz3NmzQmM/9D9/zM9sIJFncMUxCxPgb7xOxpMml4p0b5Qy9gmUbDUKwGN65Qe2bSAIuX3aoZQLI3hG/lMKbaorw8hj8N0ylSCVPwXMhWJNFP5hscMQF9HVMJ2ZB9RaY/I5adXYnk5LdSFJhEqKcX6u1jRBnKZuqhL4Egs8UtgDzS6xn4QETPtCo4vzk4DNJKmzALI2LezKriFgMWrsJspGSam33EWQdxVU+j2EyVWMgnU2xJSmrnASTFXqmAJOZTrkFG9eJk681BpSpWMvIrQP2KQazTQdgtwUROJKAyRrUffGFiWURVhDMj9WTiM0fSGHkdBgO2DNf7Z/PQlQ57QKZfglXv++lv8nBIx1mGDZPVLv++XNJgEpHLAw/Tlfbv88PBC3PnMFSNintV31d1b8w4bev1UxRllW93gHZNuGDrUrf06NYNqVIAJ/9OZKiR15Ad+LDbpEztmHHoSHDZs8g6CAwM353yNbAluGQWeldpsNbzdFWsRVBknisfmYjs9Zpiv8M22giMn5XARf2jLN4HaUob4akig3I0Sg59eOzPPYG4NM479UlpFRJB48jc4c8r87yhYUEGyBPpsajtyPTbwTYdUov0xlRFbBhfUFVgt1rHZBBL93i8oLNwofdIevpVcjJcHZMTLwaazdWLFWQbROUOXyvHcwMUV/jhvUZ1ouUDqSs6J+BIy6gd2QkhsVVKBC012CKNuN67FXyvQZeWuGjepFCB3bOpnMVTVAPDq5ATdk7Nl9yO9Lht8HVagU6RuOyrHgXwBkatfDX0RNfFV1Ogx40pEgRWXJxcyItqpB4vDi4WiOXOSSDMpMHG3+jsdL+b1xkWbNuYDCEE5T2V2NUCfsOYBCQq8ihF+VCj8YWjEEnXK/B1DTOsFv3Q3GCbbR6RGhzNdgtgp/dA4XHqv1zhb/qiOYEzvZaNyuphNy2kNOKqpqgfmh7vdp1rxHWM2HDBn1Hqu2v5VjLRfd6+OmpQUgfcAk40i4bhxv6X6L2TY86UGCx8uu3w7WtleYj3dbjpQBGZFfGr40jLqDn04JhvIoDDy5ycZGLAx/n8D5+DbZmIy6hISOx4UnyDXNx04gefKLl/1VG0pGG5OAmBxc+XAygFQ9ymtLWYcDnnaGuQ7LOcmySuTi2KQzWWHXviJ2n8OBBTuxykWtrH+MjT2Nh7zp6cgbt8OLAj5NcXDQjj0mco3YOvMUZtKEOObjw48SHg8G04A7U/HUPdqbTjTzs5CaPvAcb99OaPhn661RGX3pyP3fgwU0OfnLJIY9cpvNu8ohUjzswOAn5JFOhBdsGeEvzFph0ITSrA7ku2QLV64AzjoZrdQJ6noHtY7d0nJt07gHjKSdGR7X/hoOh/VgpluzIAUeerHQ54XNNgs6D+TDALaeMOcm/jk54VU/H7thPwNsIHLlgz5EDSYuR0HKU2javULYOdvnAkyv/nB64/DWor9E24Sw6cxUD8OAgBxd5uCkkh8+4WotUNvIpaN5DPg1U/DXvDhc+rbHjhgEzBkIDN+Q55KzcY4MxreBs9SSkuR1ey5EPaLnJPx/wbi40+JMi7xFZ5QIQopg/mIWBnTYMxZ2lLmiAdRxgIW6KqMdJ2LIo/RMIvuMPfmcvXWlMzyyZphETviiW7VxPrANNsxyt92DyJXHcGJyGA3+WbMlV7GUJ22lCLoNpmRXT1EQwj81sooQeFNE1i/IxkCIVs9hHgAQnU4+iLJmiO9nN18zDj4+hnIhXI91SGT8jWIGgBQbHkx3L1jThmz9gWyn0bQodstt1REDAzAQiAsapdoz62Z234FbY9S248qHo1OzKBgFYHoWfo9DWAcdodKeqBDMOu2ZDeCfUHwi5mi0TKhAqhZWz5CJrl6FZlg0CG9nHPNZTgJ9TaF/lKbk6CAF/LIEdq6BRB2jdN0uWbcyEL3fBvigcXx9aZtdZq9iEWVE5ez7NJbWjDwe1mqK1qEUtavEXwV+qbLEWtahFLWphjSzbzPzfgzjrifApYMPDudjR6GeZhGSafsdGFpBDQ7pwHm6NTo0ViMbh05+lNmHXJjC0U3YNd/aZMDkkyXtDPNAjS+bYGhOmJ2T71xF2aJzF46NA8C1RlhClCXZG4MGXxbgeRjAVwUagJwZDyC5tsSsOU0qkYMRpudA5y65zvxBmJmX4sXEe+TTI4hI2MZnHV6xkOc1oyVCGa+XfKxAkyFQ+Zjvb6U0fBjEoq+Zgge2w/iNIRKDlmVD3aG1T6X8FlHwF9jyodz44NDo1VkAkIDgToivB2Rb8Z4OhT/DFLIPyKZDYBZ5jwXNMdmmLwGbYOlVuR9NzIEe9pnho2wVsWwIb5oC3HnQ6H7xZNNgScQEzEohVAqO9AWfYMRSLwZVxoBSmzIR9B2BQP+jbLbt9/2MbfDIPbDY49wRorlEAUVMckSmXAE9Szn1IloYBGOTyLD6uUdomiPE2Z7GR+cQI48SDDQdj+IYmqPs7by2GAU9CSUjKiPlc0KwefDcO6mjUDn4dgXP2y5XuqJAVZSM98GYdvYvk3hg8FZe1rBVh+A0nXKIR18IITmEvK4gRQuDFwI3BPOrTUaNKZj2CgZiEOEQ4PBqYg40cjcD2SQlcnCzfjQu5SHx1PXimSL3vAsFt7OQ19hNH4Ej6+4CmnK2xqBokwAhOYD1rCBPCgw8vXj5lIS012veu4jcGcyJRooQI4cFLd7rzOTO1BoW178G3Y5L7Ysp+4N3HQb+HlKYIARuvhOJJktxjcwEGtJkK+UPU9okDsO1YiG+W8m2GD2z50HQRODSUCyLLYftgSWgSYTA84DkOGk2TykEq/P4qrLj1ELHIsEPn+6HD39W2pgmTL4R1n8uB0O6WFTKjPocWGhU+YrfAHBiW6uhB5KpkoYFtkQejgfqa/W4ZnPY3Wb0YiYLbCUNPgEnPgV0jjf/U+3DPa8l9N2S0euYWuHa42jYT/lIplzhrKOefyJL9KJJLHaaMW0mgLvZfwutsYB5RAggSRAkQpoR3GaHFlhzzHuwogbKIlGYsi8iZ+p0aRTIRAefth4CAoJBs0aCAD8Mwo9pmwxI/mPB0knAYRR6BMDAmJvVKVXiGMpYRpTzJiS1HsB+TkRpMS4BLMdmLZFhKe/gFeEiDbVmegEu2QkjIvxjy9Y39MFet3sdcArzBfkIIaYsghOBitlKuwfB9lodYwy8EKCdBggBl7GcvNzNa7Ry4hIspppjyg/blLOcHnkNNlwzvk8E8EZZ/ZlSSdX56GnZryKiVzIDiD8EMAnH5agZg/flgalw3++6C2DoQyRMnyiCxA3ZfpbYVAnaOALMERCBpH4DwPCh9XW0f3CqDeSIst7Vi33+5H0pXq+1/mSiDeSwgF2ZjAYiWwcRz5QKrCuYtUdgkDl20ZcBmgXmTmtmTSMC510NZAAJBiMchEIJZ8+ADDVLU2s1w7+sQjkIkJgeEcBRu+w9sUXPpaoQjLqCHmYw15w8iTFXaL+NNS75lgD3soforLBqH2aurCipHEzBR48acF7EuRw4I+K9GUPsgbs08swMzNC7uCQRJJ/0J4HfibFUExQPJHuzpoTsCvKN2zZfl1izZoIB31JKgvMMBghZHz4HBlxmVVg9hCu8QSdODNTH5mWWUKDRJt7KV9ayvMuCHCPEWE5S+N86QrM50xMOw7gOlOXsnyABeBQLK1CRZAh9AFf3zBIS+BqGIa7HVkLBgMYsglL6p9r31EyxJVWYMtkxR2y9/M1VgugLxMGxbqrZnaqKqkG4c+CSBKjvxwy8QsrjhAkF4c7La9ZRvIZaBwD1Vo2VETXDEBXTrkKjzXfW/MUBrhn44rv83tjzT72q+5xXfVf8/HG5irrrtVs/vM+97dcdEbwsMjX3P/L3WNSOsiaKIzCzMFFT3mz/rxOh8r3nRZYqbOtneTMfHMPT91xQVaRLL7zTOW3X792dluo+4gO5hBGTI97o1CDI9uQKnBVHeSwEN6FCtrcsBJ7SrugDqtMN56vQ7x2eoG/YbcJlG/n2kA8uq6wRwukY+b3QGknwrHDRTLC7WxaAHVa9vN3Cx2jVDcmTePB1+A0ZpLHBdTB3LevsEgiEa/PlzuBhXWs27gUEnulNHoUnajGa0tGiv7MXLKI2UTYvTZbogHQ4vtLtQaU7BpWCzKn0WkHu82t5/HlVvGTt4B4GhqGV3dgCbBf/I8EHuFWrfTc62/tzmhGZqYjc9rgCnFUvWCY37qO05y1a19MMBnKluXdyrs8yZp8PvhSvOU7s+dxA4M9xW52ict5rgiAvoDjriZzySy+xAXqkecnhCq9KlH9fQjH64yAEMnPhwk8slTNaqWHhzlNQKzEneCLluaFkAT2gscngMmFhXrst4SPZgMeBsN5ylUWzR1wY32GVQtyN7kHiAl51QqLGgeju5dMV5cAHTD9TBYKKGwDXAO9go4FD7kRzkoug/NS6jPDtMaCJ7WLgNuf2+ZDAfrMHTOAk/o6mLL9n4wY2BF4MJNCFPg2Qyln/ShqPxJ7feRw51KeA5rYQRvMt71KEO/mTbCD85dKELtzFWaesthONflgxLm0suCtq90PkGaNhX7bvO2fLP5gNsSX1NH7SeKNmjKhQ8Ac5WYCQLuYwcsBdC4RtqW8OAoimH9DwxpL27H+SraxDwN4fuTyT33SlTT3YvdBiv18+96yXQ+qRkUDdk61unHy6YIvvBqGB73g1NjNSLtrEhP1fA4YApL0KOD3weeSz8PjhxAIzSIFd3aAn3XA5etwzsTgd4XPD49dCikdq+Jjgiq1wA4qxO5sztuBmBQ6NSoQICwXq+YSMLyKWIrozEq9HLvAKhKHy0An7fI8sWz+wqZ+m62JWASSEoEXCKG/o6syuDWmnCtIScHZ9vhxZZDMsmgi+JsDhZtjgSL7lZjOsBBJMRbEKWLQ5D9oPRxbYYfFgiO0wOy4WeWep6LifE58myxQvIp0kWeq4JEszmc35hOU1owZmcj0+jj3sFyihjMh+yne30oS9DGJKxWZul/Sb4fbKs1mh1FhR00TZFCAgsgdIvwZ4P9UaCU0Og+qB9DALTIfpzsmxxBNiyOPaJA1A+CRI7Zdmid3B212zZetj6UbJscTjktc9i2wVsXgAbvgVvAXQeCf76WdhHBWJqAlaZ0MGGMdyOkalhmQX2FcPEGbJs8cT+cGzv7PZ99UaYOk9qip53IrTRqCyqDrVM0VrUoha1+IvgL1W2WIta1KIWtbDGEcsUxSyF2NeSZeAcwv9p78zjo6rOPv49M5NJMgk7hCUFAiqboLIpWpQdEQXc2Ky1WhSXitW3VVv9WNtqXy2KWhULiID4VhGlIlpsRQQEISCyyiqbEAhJgED2ySzn/eNMwmRyM/dMIGDS8/18+DDLPTnnzD33uec+5/yeBxFbwJxCfuAYa0igOSn0Q8Rwb5MS1ufAnjzo1hi66rmgy/EFYGkG5JVCv1RorhPMPIxcLyzNVKF4B7fSjMkdxl5O8g1HSSWZvqTGpHaUSNKBA0h6IOgYY2Awr1TiqiIJA9zQNAZXFcCxACwrUYupgxKVPz4WstjFITbQhDTS6BNT35ESVq2Fw0eh92VwQVpMdRd74Ystak/yoEugUYxpyLLws4JC6uNgEMmWCUOi8d0h2HoQLmwBvdrH5jaQQTiyAoqyoMWVUE8jUmIFCovhiw1qc/fgnlA/tus177ByuyQ2hrQBev7zcLI2wYkd0LgTNO8eW9lAEJZlwPES6NsKUmM8b3k++OK4mj0PaQpJNWh1a6dB986Hgrs4HW04CPXmg3u4bVGJ5FseZB+zcIT8r24aM5BlJNPOtvxJLwz9F2zPVT6xgIRrWsLCayFewzhtyoGhC6EktO3bF4SnesMTOiv2wKzd8Kt0laO27HpcOAgGaCyyBJHcxb+Zz27iEEigFcl8yWhSNUIf5CAZRJD9qLr9SIYD7+HQMi7ppXDdcbULT6Kyev21PjykeYG8mgeP56plcIH6/T9LgT4aC4MBfMxmPNtZHIqsKWlMOyaxlHoaYZc5nAkDb4UjWapynx/GjITZryhNtw3LtsKNz6vXEnVTn3o3/HKwfdUAfyGbZ8kp/50TEHxOGpdpRJv0+uDGF2HFDnA5lOqxSyp8/iQ01LCrefvh4wFQEtKfBX3Q6S64ZqrmTWFxOoz58+nfKRCA2Y/DmP62RaWEL56A9FfUoiqAOxnuXArNom9KA6C0EBZcD0e/UXM/GYQWveCWxeDW6PvOEzBoIeSH9uv7gvDQpfD8VXp9/+AI3LnldCz9IDDvMrghhvWPWKh9PvTAITjZESpJZDzQ6CA4oge4OMC7fMPE8pyiCgcN6cowNttWP/4L+Od+KA3bh5rghIe7wXM2sbEDQUidDVkRuiaPCz4bCdekRi+/6xR0/1ilOAwn2QWZ4yDZZn1wGpv5DcspClNaOBH0oSWrGB+9MHA9AZZQUdaVCDyN4HGbJxyvhBZH4WTEcPMIWNkEetjEFfnWC9ccVTP7cBo64Ghr+5n6Ev7KZ/wJX9i4cRJHRwZzP4ujFwboOxLSQzPM8sYnwpQ/wn3RMzUXFEPLCVAQIVJJdMPGKdDR5ryvoJDhHKgkrGqOk8N0sl2UfmIevPwvKAk7cW4X3HI5vPtQ9LoB3r8UTnxXce+1Kwn6z4AOdntWj52CtuOgKELSmuiGXXOhdfQYxLv/BfPHRoiLBDRMg4f32hvVJQ/A1llqIboMZzx0vROGToteVkq4cC7sz6u4nT3JBe8NgxE287+MYuiwQuUQDifRAQcHQtMYYumEU7d86KXzqJwgsey7BbbFv+f1CGMOECSf78lnb9Sy/iAsiDDmoGbbb2nImFdlQpGFyLXYD9M1clPO3aNmCJEI4JND9uWnsrGCMQe1j3s9WWRZ5OsMJx/JF1TW6BYD0zTUG0u81vqYEgkzrRKlRjCrwDr9ZVDCEoucl5GsYloFYw5q1r6LpZSQH71wVg6s31LRmAMUFcPUWbZ1f7LeWp/iC8Dby22LMz0U8iCSIiRfW2aZrcibSysac1Cq5wXrqlYylnFqL5z8vrKQxl8IW1+3rRr+uRLL3gckzPvStvi6NyyUohKKcuDoJvvqt82taMxBvd+msVt18zHIKq6sTSr0wxtb7Mu/n2k95gWw4Kh9+epQ+wx6sABr6b8fpL0E3F+FTFzgtDD0EWWDVacYLNbI4l3os55RSJQrx458n7U4JyDVILOtv4qQCU5EJUMfSbTmaUQtoFBai/aCqO2bduQFrS8OGfrbdpRGMXz+qL1DGe6qwmkW2BvUwpLK4SIA/AHI17iZ5RGw/O0EUKChs4005mUEgupfNHyF1jlBAXz2l5vynUfeCEHdSQrs78TeKnKXCweUatTvr+LUBrz2as1CX+W0g2XkVfGbhlPgt56A+aX6riaofQbdfT3Wekmnlg+9NaNxWETHc5BAfS6OWjbBBT0s9r86gGEa0Xv7trI+wUkuGNfBvvzINtYLKkFgqH1GLG7mItwWIpzGJJBmk/GpKQKriKcuYKR91Qx0q+iSkSQLGK3hA7/ZoxZCI/FJGKhRvhsjLLNSNaU9ydhsak5rDY0t1KRuN9x6g23dQy+zNpxJCXCjRgq7MTSwVMn6kFytkR582KVqvSGSnu2U0CUajS+2zozkTIALx9hWDcMut6480Q3X26cuvHgcxFl0UUo9pWibAVR+QBDqczt3Tc8Ua6Of6IJxGhmbhqcod2wkTgHXaSzbVIfaZ9BdvSF+HJQLQoR6nXAfOO3VCh15mCTSyhNFC+Jw4qEPc3BoKA7f7Af1406fKI8TmiTAi/Zjk/pueO0aNSDKfvgkF/RI0Rsgg1rCdamnjbpA+d9/1w3aaCwsPsEVpJJUnijajYMkXMzlOq3dHnNwkAzlAnoPkAI8qzGMmjnhufqqTNnRyQL6umGEhkEe6YGrE1QZOK2y/Usj9bftuIFnqUdKedgHF/HEk8zPmG1fWAiY+6rSfLtDCxUeD6Q2h99Psi3ephn8/mbwhGV9S0qA67rDQA1x0Xga0oNEkkK/nBNIRPAqLamnMWan/ByaJCsbCpAQB/UTYcZE+7odThj4Nrg8p0PlupKgXhpc8mv78nRuC/eNVB0O7/zYAdDb/nrtOQGadjot/xdOFTJh5AyVm9SOwa9DfENVBtT/8Q3U53YkuGDmIHW9lgWWS3JBp0Zwd/S5HwC9G8L4liqnNIQslRMmtoEu+ukXYqL2LYqCum36PgfvP5SWOP4OcPXT3oflp5iDvEcm/8ZDGy7kXuqhnyTxaBHM2A5bT8AVKTChMzSKIb/jphyYuU1tg7qxPdx8gb7SNChhcQa8v08NtDsvhKtiWDEvxMc7bOdLDtKeBtzLpbTTiCdeRgaS6Uh2IemL4E6EVoLqMr4phbeKlAvl1kQYlVD1Y20kAQmLiuCDQpWXcUI96B3D715MHmuZw15W0ZyO/JR7aaSROb6c/Qdh+juw7wAM6At3jFZacE1W74Q5Xyql8di+MLyH1gYZQM3GPyKPj8ijCU7uppHWDpcycgtg1nJI/x66tYF7BkLLGPJ6nvwetk2HgoPQZhhcNP60kbRFSlixGeZ+rvxMPxsMQ/Xllv5S2PY+7PoUkltAr3shRSNsQBlFObBlJmRtgJTucOk94Ilhhrz9BMz4DjKL4IY0GHOR3o42UF1fcgz+cUSN85+nQv/GMeY0jcAoRQ0Gg6GOULd2uRgMBoPBklpr0ANB2HACNp2oeudJNAoKYc0G2K+x3c+KTIpYTRbHLVNO2LPTD2t9an92rPiDsP4IbMmqXlzlvACsKYYfNFbqrcgIwGof5OrE8o5AItlGFus4hE8j01AkPnysYz3b2FGt+PX5ubB1NWTbJ7eypPBKxS5NAAAOpUlEQVQHOLYGfHmxl5USthyB9YeU5yFWvF5YuxF27om9LEDpcTi5GryZ1St/YD+kr4ECnd0tEcigUmtmbdDLNBRJsQ/Sj8D3ubGXBcguhNUZ6v/qcJA9bCadkkr6F3sCBNjAXjaxn6BW9P/qo6UUFUIMA/6GWo+ZKaV8PuL7eGAu0BM4DoyVUh44u009zcpsGL3y9Fa9BnGwsB/00kya+9JMeOoVcDnB54Oe3WDhNGii4VP0EuAOvmIRB4nHgZcgE+jAq/TRSpb8QwBGnIK9AbXQIoG/J8PPNHMVf74XblugsiQFJaQkwcfjoJuGH11KeOYEPHdC5TItlXB1InzQEhpo+AQLJYzPgyWlSsjjlfBQIjyfpOcT3M0xRvAOGZzCiQMngjncwij0HKIf8ym/5D4CBAkSIJVWfMx8Omisf0gJ038HH74KcfHg80KvwfD0PEjUUAyWnoKvR0POSnC6VSq1zr+Hi5/S6/vWTBg1B7IL1KYPtxPevQ2GaiaK/sdHcP8TIYVuAC5oC5/MhrYaSwAyCDsfgsMzVbjdoBeajYRuc8GhsQZx7BiMvQk2fKvWhP1++MMz8Gv7yMEAHF0PC2+CklBiqLgkGPUB/ORqvfJvboFHlisftC8IFzeBRTdCS42NAP4gTPwM3t2mFjlL/DC+C7w5XKlm7cghk0mMYg/f4SKOAAEeZQpjNPIXA6xiB7fyAoWhiV8DPHzE4/SOYc0uFmx96EIIJ7AbGAJkAN8A46WU28OOeQC4REp5nxBiHHCTlHJstL9bXR/6sRJo93HlfZwN4iDjJnu15OJlMHqS2lpcRlwcXNUDlr9rX/8k1vAWuykOm116cPInevBbom9ZkBI65ipjHn6f9gCrGkJ3m7YfOgWdplYWJzX1QMYjEG9ze56fD3dFqC3dwLVJsMhGrQhwRx584K2YBs8DvJIM99gskAUI0pYXOEJ+hZm1hzg28iAdbLYO7mI3PelLcdgMSSBoRUv2sx2nzW6PT2fCqw9DSdgMzZ0A/W6FpzREJl+NgqP/qZjD0+mBK2ZDG5vte14/pD4DxyMVwnGw8zFobRO5eeN30PcmKAr74R0OZdR3rbC/oRyYAnv+EMpJWlY+EVInQOfXopcFGNof0leryU952z3w7odw7XXRy5bmw99bqxtiOHHJMHE/eGx2jK7KgGsXQFHY9e4U0K0pbIwu0AXgqRXw0rqK5T0ueORyeLafffkx9GQXWwiE6TQS8DCdf9OT6Hek4+STxr0URDzF1yeRDGZSL4ZF7XDO1Id+ObBHSrlPSlkKzAMi85CMAt4Ovf4QGCTs0oFUk/d+sBZpBCQs0HCfTHmrojEHNVDXboJDR6KXDRCsZMwBigjwCtts617nh8xAZYFMCfC6xpPc25ut9zN7/bD4e/vyk09Uls6XAp8XwXGbx+AiCfO9lXOaFgEvarR9GfvIw1vJTVJKgBmssy3/JrPxRQijJJI88lmGfWLN916oaMwBSktg+QdQYiPu8R6vbMwBAkWwY7Jt1SzeoZ6oIgkEYY7GnOb1OSq5cDjBIGRmwToNteQPL1c05gDBYjj8lopPHo1Dh+CbtRWNOUBREbzyon3du/9pXYcMwE6NfKovf1tZtBeQsDsXth+3L//6txWNOaj3UzVyAO9lB/vYWcGYA5RQxFxeti3/HisJWLhYgkgWsMa+AdVAx6CnAuGmMiP0meUxUko/cAqo5AARQkwUQqwXQqzPybHIPKtBVnHlWCYA3gBka7izj1ZRbZwLjtn450oJUlqFDyzXTm0IZAetNRZB4LCGa+1IvupnJP6gnm8wp4qL1wXk2lzYBVEe5I5rtD2bQqy0on6CZGDvkD7CUfwWalaJJBv7sZR3ourvimyU/6W51kmeAbzZtlWTXVDFjTgAmRq++CNHlQGPxOGE7GP25X1VjGtZWvkmFcnxY+oJ1oqjGvL1opzK0nsAfzEUZtmXzyy0VhjHOSBbR2VbRRLsPA2laC45uKpIoJKNzewPyOYUxZWyc4MXH9lUIYE9Q3QMutVMO/Kn0DkGKeUMKWUvKWWvZs2qJ5Ua0EIFo4rE7YD+Gn7k6/qd1oZE0vnC6GUTcXFRFYrKn2JfeZ84a7WkB7hBI1DPkPaQXMVx12iEMx3isV40SRCQZuPuaSagmcVocQADNJIG9aUtPoubYRJxDMfekTyMIeXp38Lx46MvV9qW795fycUjadgMGkWPD0VSO5U2LRLhghZDbavmmvbWRinZDUM0XKnXD1JxwCIpLYU+GrlsG/7U+vPEi5TbKBqdu1i33e22d7cAtO6n1hwiiUuG1v3ty1/f3lptWRpUgjw7erWw/rxnS3tXVWe647cwyG4S6Mf1tnX3pyvJFqp0Ny7609W2fHXQMegZQOuw9z+BSren8mOEEC6gARBlTlR9BjaHPk2VQrOMJBdc2wp6ayyKPjoRGjVQA7IMTyK89CQkaCwQ/Z2r8OAqXwB1IUjGxRTsk0M2c8DjHiqYpQQg1Ql3abjTRnSErinK91pGUhyM6wqdNe6PTzeBBg7lN4eQ0lTA1JTTSriqEAKmJaubT9mhcUA9Af+rsajYhobcS2+SwmY8ibi4gCaMtVl7ABjLLVxAOxLD/I5JeJjIL2lTYXhaM/E58NQDV9zp/sR74LfT7C9shxN6vh4yfmVKVTfENYCLn7atms7NYdylkBQ+5uKgawsYobEefNdYSG1RcXwmeeCx+6GZxpjv+BI4kzl9N3eo/KRd3rAvGx8Pk19SPvPwzxo1gkcetS/fsje0u7Ziouc4D7TqA20H2Zf/1WWQ4qlo1D0ueOYqqK9xvb42VF0jZeI1p1DvXxtiXzaJekziWRLDrlg38TQhhfE8aFt+AF25ko54wpKTJxHPUC6jNzazx2qisyjqQi2KDgIOoxZFb5NSbgs75ldAt7BF0ZullFGXis5EWOQLwlt74O19KmbS3RfAz9tVHT8pkuxj8PJs+M9X6kL57d3QTyOmRhlbOMFktrKNXC6nGY/RjQtsYqGE84kXXiuGExJudsODiUr5qEOJH978Fv5vq1q1v7enMuhWrhwrjvjhpROwtBjaueDRxnBlDGsz3/pgchHsDkDfOHjUA210VXNIFrCNN0gnn1LG0o37uYIkNB5PgEIKmc5bvM8CkknmASZyMyO1k1RkHVS+9C2roHUHuO0x6NhTr+2gtivueAEK90PzgdDpN5CoEUMHlMtk3maYvkadw9t7wD1XKBm+Dnn5MPVtWLAYGjeESXfBCA2jVEbRXjgwGU6ug+SLod1jUO8S/fIrVyif+eHDMORamPQIpGjMkEFtU9z+jlJrBgPQ9RfQbQI4NfueWwJ/2wCf7FXG/ZGeMDRNv+07j8PkNbAxCy5rDo9fCZ00d8QBrGYJc3mZ42TRnxu4nV/TQDOxug8/s1jKHJbhxMEEBnEH/W0X8aNxxkpRIcRw4BXUtsVZUsq/CCH+DKyXUi4SQiQA7wDdUTPzcVLKfdH+plGKGgwGQ+xEM+ha+9CllIuhYhYAKeUfwl6XAKPPpJEGg8FgODNqrVLUYDAYDBUxBt1gMBjqCMagGwwGQx3BGHSDwWCoIxiDbjAYDHUEY9ANBoOhjmAMusFgMNQRzlsKOiFEDvDDWfhTTQGNEEV1BtPfust/U1/B9Le6tJVSWgb7OG8G/WwhhFhflWqqLmL6W3f5b+ormP7WBMblYjAYDHUEY9ANBoOhjlAXDPqM892Ac4zpb93lv6mvYPp71qn1PnSDwWAwKOrCDN1gMBgMGINuMBgMdYZaY9CFEMOEELuEEHuEEL+z+D5eCPF+6Pu1Qoi0c9/Ks4NGX/9HCLFdCLFFCLFUCKGRUfTHi11/w467VQghhRC1equbTn+FEGNC53ibEOLdc93Gs4nGeG4jhFgmhNgYGtPDz0c7zwZCiFlCiGwhxHdVfC+EEK+GfostQgiNrLAxIKX80f9DZUraC7RHpcTcDHSJOOYBYFro9Tjg/fPd7hrs6wDAE3p9f23tq25/Q8fVA74C0oFe57vdNXx+LwI2Ao1C71POd7truL8zgPtDr7sAB853u8+gv9cAPYDvqvh+OPAZKjttH2Dt2ay/tszQLwf2SCn3SSlLgXnAqIhjRgFvh15/CAwSwi79748S275KKZdJKYtCb9NRibtrKzrnFuAZYDJQci4bVwPo9PceYKqUMhdASpl9jtt4NtHpr4TypLwNqJyEvtYgpfwKlYazKkYBc6UiHWgohGh5tuqvLQY9FTgU9j4j9JnlMVJKP3AKiCEV7I8Gnb6GMwF1x6+t2PZXCNEdaC2l/PRcNqyG0Dm/HYAOQoivhRDpQohh56x1Zx+d/v4RuF0IkYFKdTnp3DTtvBDr9R0TWjlFfwRYzbQj91vqHFMb0O6HEOJ2oBfQr0ZbVLNE7a8QwgG8DNx5rhpUw+icXxfK7dIf9fS1UgjRVUp5sobbVhPo9Hc8MEdKOUUIcSXwTqi/wZpv3jmnRu1UbZmhZwCtw97/hMqPZeXHCCFcqEe3aI8+P1Z0+ooQYjDwJDBSSuk9R22rCez6Ww/oCiwXQhxA+R0X1eKFUd2x/LGU0iel3A/sQhn42ohOfycA8wGklGuABFQgq7qI1vVdXWqLQf8GuEgI0U4I4UYtei6KOGYR8IvQ61uBL2VoFaKWYdvXkAtiOsqY12b/Ktj0V0p5SkrZVEqZJqVMQ60ZjJRSrj8/zT1jdMbyQtTCN0KIpigXzL5z2sqzh05/DwKDAIQQnVEGPeectvLcsQi4I7TbpQ9wSkqZedb++vleFY5h9Xg4sBu1Yv5k6LM/oy5uUIPgA2APsA5of77bXIN9/QLIAjaF/i06322uyf5GHLucWrzLRfP8CuAlYDuwFRh3vttcw/3tAnyN2gGzCRh6vtt8Bn19D8gEfKjZ+ATgPuC+sHM7NfRbbD3bY9lI/w0Gg6GOUFtcLgaDwWCwwRh0g8FgqCMYg24wGAx1BGPQDQaDoY5gDLrBYDDUEYxBNxgMhjqCMegGg8FQR/h/7NuOjvGcZ4kAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(grid_lap[:,0], grid_lap[:,1], c=sampleact, cmap='hsv')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
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