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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Group 7 - Noah L. Schrick"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Imports\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.linear_model import LinearRegression\n",
"from dmba import regressionSummary\n",
"from sklearn.ensemble import RandomForestRegressor\n",
"from sklearn.datasets import make_regression\n",
"from sklearn.datasets import make_hastie_10_2\n",
"from sklearn.ensemble import GradientBoostingRegressor\n",
"from sklearn.metrics import mean_squared_error\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.svm import SVR\n",
"from sklearn.model_selection import GridSearchCV\n",
"from sklearn.metrics import classification_report,confusion_matrix\n",
"from sklearn import preprocessing\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Import data\n",
"timing_df = pd.read_csv('timing.csv')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploratory Analysis"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parallel Coordinates Plot"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/509936392.py:3: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(395,0)\n",
"/tmp/ipykernel_77112/509936392.py:4: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(296,25)\n",
"/tmp/ipykernel_77112/509936392.py:5: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(197,50)\n",
"/tmp/ipykernel_77112/509936392.py:6: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(79,75)\n",
"/tmp/ipykernel_77112/509936392.py:7: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(1,100)\n"
]
},
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},
"metadata": {},
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],
"source": [
"import plotly.express as px\n",
"overall_df = timing_df[['nodes', 'exploit', 'appl', 'load', 'runtime']]\n",
"overall_df['load'] = overall_df['load'].replace(395,0)\n",
"overall_df['load'] = overall_df['load'].replace(296,25)\n",
"overall_df['load'] = overall_df['load'].replace(197,50)\n",
"overall_df['load'] = overall_df['load'].replace(79,75)\n",
"overall_df['load'] = overall_df['load'].replace(1,100)\n",
"\n",
"# , [296,25], [197,50], [79,75], [1,100]\n",
"fig = px.parallel_coordinates(overall_df, color=\"runtime\", labels={\"runtime\": \"runtime\",\n",
" \"nodes\": \"nodes\", \"exploit\": \"exploit\",\n",
" \"appl\": \"appl\", \"load\": \"load\", },\n",
" color_continuous_scale=px.colors.diverging.Tealrose,\n",
" color_continuous_midpoint=2)\n",
"fig.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## VIF"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" feature VIF\n",
"0 nodes 4.095428\n",
"1 exploit 1.102242\n",
"2 appl 2.481514\n",
"3 load 5.401378\n"
]
}
],
"source": [
"from statsmodels.stats.outliers_influence import variance_inflation_factor\n",
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"X = timing_df[predictors]\n",
"\n",
"# VIF dataframe\n",
"vif_data = pd.DataFrame()\n",
"vif_data[\"feature\"] = X.columns\n",
" \n",
"# calculating VIF for each feature\n",
"vif_data[\"VIF\"] = [variance_inflation_factor(X.values, i)\n",
" for i in range(len(X.columns))]\n",
" \n",
"print(vif_data)\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot raw features with outcome"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for feat in ['nodes', 'exploit', 'appl', 'load']:\n",
" plt.figure()\n",
" plt.plot(timing_df[feat], timing_df['runtime'])\n",
" plt.title(feat)\n",
" plt.ylabel('runtime')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Show avg timing data for each var step (EX: Avg time for 12 nodes, 11...1, Avg time for 6 exploits...49152)\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/3831858898.py:5: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_77112/3831858898.py:6: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_77112/3831858898.py:7: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_77112/3831858898.py:8: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_77112/3831858898.py:9: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot: title={'center': 'Database Load vs Runtime'}, xlabel='Database Load (%)', ylabel='Runtime (ms)'>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"node_pivot = timing_df.pivot_table(index=[\"nodes\"], values=[\"runtime\"], aggfunc='mean')\n",
"exploit_pivot = timing_df.pivot_table(index=[\"exploit\"], values=[\"runtime\"], aggfunc='mean')\n",
"appl_pivot = timing_df.pivot_table(index=[\"appl\"], values=[\"runtime\"], aggfunc='mean')\n",
"\n",
"overall_df['load'] = overall_df['load'].replace(395,0)\n",
"overall_df['load'] = overall_df['load'].replace(296,25)\n",
"overall_df['load'] = overall_df['load'].replace(197,50)\n",
"overall_df['load'] = overall_df['load'].replace(79,75)\n",
"overall_df['load'] = overall_df['load'].replace(1,100)\n",
"load_pivot = overall_df.pivot_table(index=[\"load\"], values=[\"runtime\"], aggfunc='mean')\n",
"\n",
"node_pivot.plot(kind='bar', title='Number of Nodes vs Runtime', ylabel='Runtime (ms)', xlabel=\"Nodes\")\n",
"exploit_pivot.plot(kind='bar', title='Number of Exploits vs Runtime', ylabel='Runtime (ms)', xlabel=\"Number of Exploits\")\n",
"appl_pivot.plot(kind='bar', title='Applicability of Exploits vs Runtime', ylabel='Runtime (ms)', xlabel=\"Applicability of Exploits (%)\")\n",
"load_pivot.plot(kind='bar', title='Database Load vs Runtime', ylabel='Runtime (ms)', xlabel=\"Database Load (%)\")\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Correlation and Matrix Plot"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: >"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1100x700 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"timing_corr = timing_df.corr().round(3)\n",
"# print(timing_corr)\n",
"fig, ax = plt.subplots()\n",
"fig.set_size_inches(11, 7)\n",
"sns.heatmap(timing_corr, annot=True, fmt=\".1f\", cmap=\"RdBu\", center=0, ax=ax)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Speedup and Efficiency"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# Add speedup and efficiency columns\n",
"timing_df['speedup'] = np.nan\n",
"timing_df['efficiency'] = np.nan\n",
"for idx, row in timing_df.iterrows():\n",
" nodes,exploits,appl,load = row['nodes'], row['exploit'], row['appl'], row['load']\n",
" timing_df.at[idx,'speedup'] = timing_df['runtime'][timing_df['nodes'] == 1][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]/timing_df['runtime'][timing_df['nodes'] == nodes][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]\n",
" timing_df.at[idx,'efficiency'] = timing_df['runtime'][timing_df['nodes'] == 1][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]/(timing_df['runtime'][timing_df['nodes'] == nodes][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]*nodes)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Min, Max, Mean: Nodes"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/1772356950.py:2: FutureWarning:\n",
"\n",
"DataFrame.set_axis 'inplace' keyword is deprecated and will be removed in a future version. Use `obj = obj.set_axis(..., copy=False)` instead\n",
"\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot: title={'center': 'Minimum, Maximum, and Mean Speedups of MPI Tasking\\n for Increasing Problem Sizes'}, xlabel='Number of Nodes', ylabel=\"Speedup (Amdahl's)\">"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"res_spd_df = pd.DataFrame(timing_df.pivot_table(index=[\"nodes\"], values=[\"speedup\"], aggfunc=['max', 'min', 'mean']).to_records())\n",
"res_spd_df.set_axis(['Nodes', 'Max', 'Min', 'Mean'], axis=1, inplace=True)\n",
"res_spd_df.plot(kind='bar', x='Nodes', title='Minimum, Maximum, and Mean Speedups of MPI Tasking\\n for Increasing Problem Sizes', ylabel=\"Speedup (Amdahl's)\", xlabel=\"Number of Nodes\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/2421668426.py:2: FutureWarning:\n",
"\n",
"DataFrame.set_axis 'inplace' keyword is deprecated and will be removed in a future version. Use `obj = obj.set_axis(..., copy=False)` instead\n",
"\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot: title={'center': 'Minimum, Maximum, and Mean Efficiencies of MPI Tasking\\n for Increasing Problem Sizes'}, xlabel='Number of Nodes', ylabel='Efficiency'>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"res_eff_df = pd.DataFrame(timing_df.pivot_table(index=[\"nodes\"], values=[\"efficiency\"], aggfunc=['max', 'min', 'mean']).to_records())\n",
"res_eff_df.set_axis(['Nodes', 'Max', 'Min', 'Mean'], axis=1, inplace=True)\n",
"res_eff_df.plot(kind='bar', x='Nodes', title='Minimum, Maximum, and Mean Efficiencies of MPI Tasking\\n for Increasing Problem Sizes', ylabel=\"Efficiency\", xlabel=\"Number of Nodes\")"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exploits, Appl, Nodes"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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TZcuWsTFjxjAAbMiQIW7rvf766wwAGzhwIFu6dCmbMGECi4yMZMHBwWzs2LGu9QwGA4uPj2dBQUHs1VdfZStXrmRjxoxhHMex5557zrXe9u3bGQDWu3dvtmzZMrZs2TI2ZcoU9tBDD5W6j8Xe27KsXPgNWrp0KdNoNK4CwkMPPcR69erFGGPFkoI9e/YwAGz9+vVu2/v111+LLS9c4HCaNGkSU6lUzGQyuZb16NGDAWBffvmla5nZbGbh4eHswQcfLHU/RFF0PT8sLIyNGjWKLVu2jF26dKnYus4v8P333++2/JlnnmEAXIXiixcvMkEQ2DvvvOO23vHjx5lEInEtF0WRNW7cmPXv39/toGg0GllsbCzr27eva9mQIUOYQqFwi+vUqVNMEITbTgputT8lcT7/5s2brmWpqalMJpOxfv36Mbvd7lq+dOlSBoD93//9n2uZ831fuXJlqa/jNHnyZLd9dXLuc1BQEMvIyHAt//777xkA9r///c+1rHfv3qxVq1Zu3x9RFFnnzp1Z48aNvYqjVatW7JFHHnHdf/XVV1lwcHCxpNK5fx988IFrmdlsZm3atGGhoaGug6vz5BYVFeV2wPz2228ZAPbxxx+7lnmTFIwZM4bxPM8OHjxYLHbn98xkMrl9Pow53ke5XM7efvtt17Lbia0sv3VPnN8vT7emTZu6rbtt2zYGgM2dO5dduHCB+fn5FTvwOo9Z7dq1czuxLViwgAFg33//vWtZ0aTgo48+YgDYunXrXMssFgvr1KkT8/Pzc3tvin4eCxcu9FioKYmz0ORMgM6dO8feffddxnEci4+PZ4yV/fNr2LBhseNpWbdxxx13uL1vo0aNYhzHsQEDBrhto1OnTm7fA2+Ph4wxdt999xX7fjPG2Nq1axnP865Cu5Mz+du3b59rGQDG8zw7efJkse2UZMqUKSw6Otr1+3CeVAsnEzabjcXGxrKYmJhiBYjCx29nQeCVV15xW2fr1q2u72hhw4cPZxzHsXPnzjHGGPvwww+LHVeLeuCBB4oVQLxx8ODBEs8P3p5Hy/JZeFI46f3iiy8YALcLMrebFABgGzZscC07c+aM6zvx119/uZY7jxmF34uKPscXjsnb85zz/JCenu5advToUcbzPBszZkyx/d+4ceMttxkQEMBat27t1euX5xxe2e93Wco1JR1vy/KZeVK4zHv+/HkmkUjckvCiSUFCQgIDwJ544gm37cyYMYMBYH/88QdjrOD9vu+++9yOI86kr3BSMGfOHKZWq9l///3nts1XXnmFCYLALl++zBhj7LnnnmNardZ1kay8yt3AdMSIEcjLy8OPP/6InJwc/PjjjyU2Hdq4cSN0Oh369u2LtLQ0161du3bw8/PDn3/+6VpXqVS6/s/JyUFaWhq6desGo9FYbFQgPz8/tza4MpkMd911Fy5cuFBq7BzHYdu2bZg7dy4CAgLw1VdfYfLkyYiJicHIkSM99imYPHmy2/1nn30WgKMjLABs3rwZoihixIgRbvsYHh6Oxo0bu/YxISEBiYmJGD16NNLT013rGQwG9O7dG7t374YoirDb7di2bRuGDBmC+vXru163efPm6N+/f6n7541b7U9Z/Pbbb7BYLJg2bZpbm+WJEydCq9Xip59+cltfLpdj/Pjx5Yi6uJEjRyIgIMB1v1u3bgDg+g5kZGTgjz/+wIgRI1zfp7S0NKSnp6N///5ITEz0OKpAYceOHcPx48cxatQo17JRo0YhLS0N27ZtK7a+RCLBpEmTXPdlMhkmTZqE1NRU/Pvvv27rjhkzBhqNxnV/+PDhiIiIKNPnIIoitm7disGDB6N9+/bFHnc2uZLL5a7Px263Iz093dVM4fDhw8WeV57YyvJbL813332HHTt2uN3WrFnjtk6/fv0wadIkVxtlhULhsXkdADz55JOQSqWu+08//TQkEkmp+/Lzzz8jPDzc7XOXSqWYOnUqcnNzsWvXLq/2xVsGgwEhISEICQlBo0aN8Oqrr6JTp06uphZl/fzGjh3rdjwtzzbGjBnj9r517NgRjDFMmDDBbb2OHTviypUrsNlsALw/HpZm48aNaN68OZo1a+a2jXvuuQcAim2jR48eaNGixS23Cziq+L/55huMHDnS9fu45557EBoaivXr17vWO3LkCJKSkjBt2rRi7bg9NWUs2lH5559/hiAImDp1qtvyF154AYwx/PLLLwAK2oh///33xZoEOPn7++Pq1asem0feDm/Oo2X9LErzyCOPoHHjxnj77bc9jkRU3n14+OGHXfebNm0Kf39/NG/eHB07dnQtd/7vqYxQUed4J2/PcykpKUhISMC4ceMQGBjoWh4fH4++ffuW65wMAHq93u34XZqynsOr4v2uCBVxHHJq2LAhHnvsMaxevRopKSke13HGPn36dLflL7zwAgC43kfn+/3ss8+6HUc8DbawceNGdOvWDQEBAW770KdPH9jtduzevRuA4/hgMBjcmvWXR7mHLwkJCUGfPn2wYcMGGI1G2O12DB8+3OO6iYmJyM7ORmhoqMfHnZ1nAODkyZN4/fXX8ccff0Cv17utl52d7Xa/Xr16xQ7MAQEBOHbs2C3jl8vleO211/Daa68hJSUFu3btwscff4xvv/0WUqkU69atc1u/cePGbvfj4uLA87yr3VpiYiIYY8XWc3KeWBMTEwE4TtglcbbZzcvL87i9pk2b3vYP51b7UxaXLl1yxVWYTCZDw4YNXY87RUVFQSaTlfl1PCmcMAFwJQjO9uLnzp0DYwxvvPEG3njjDY/bSE1NRVRUVImvsW7dOqjVajRs2BDnzp0D4OhY6hyx5L777nNbPzIyslgHwyZNmgBwtJO8++67XcuLfg4cx6FRo0Zl+hxu3rwJvV5/y6HRnKNGLV++HElJSW79dAr3o7md2MryWy9N9+7dvepo/P777+P7779HQkICNmzYUOLrFt0XPz8/RERElLovly5dQuPGjYt1zm3evLnr8YqkUCjwv//9DwBcfULq1avnerysn19sbGyxZWXdRtHfl06nAwBER0cXWy6KIrKzsxEUFOT18bA0iYmJOH36NEJCQjw+XvS75Gl/S7J9+3bcvHkTd911l+s3DQC9evXCV199hffeew88z7v6n3kz7KBEInH7vADHdyQyMrJY4azod2jkyJH49NNP8cQTT+CVV15B7969MWzYMAwfPtz1/Xv55Zfx22+/4a677kKjRo3Qr18/jB492mPfuLLw5jxa1s+iNIIg4PXXX8fYsWOxdetWDB06tHyBF+JpH3Q6ncfvKQCP/Ykq6hzv5O15rqTzJ+D4nmzbtq1cnda1Wi1ycnK8Wres5/CqeL8rQkUchwp7/fXXsXbtWsyfP99jW/1Lly6B5/liIzOGh4fD39/f9T46/xaNKyQkxO0ip3Mfjh07dsvf3jPPPINvv/0WAwYMQFRUFPr164cRI0bg3nvvLdM+3taYhqNHj8bEiRNx/fp1DBgwoMQe8aIoFrsCU5hzZ7OystCjRw9otVq8/fbbiIuLg0KhwOHDh/Hyyy8Xu4IiCILH7ZX16kNERAQefvhhPPjgg2jZsiW+/fZbfP7556UO+Vj0ByGKIjiOwy+//OIxLufwis59WLhwYYnDw/n5+ZVpbPKSRnEo2jm7PNuoDEWvXt6OW30HnO/3jBkzSqxhKW1oVcYYvvrqKxgMBo9XIVNTU5Gbm+tx+Mzq5t1338Ubb7yBCRMmYM6cOQgMDATP85g2bVqJVyfLytvfekU5cuSI66BYtDanphEEAX369Cnx8bJ+fp5+Z2XdRkm/L29+d94cD0sjiiJatWqFRYsWeXy8aAGkLMcV5/dzxIgRHh/ftWsXevXq5fX2APdamLJSKpXYvXs3/vzzT/z000/49ddf8c033+Cee+7B9u3bIQgCmjdvjrNnz+LHH3/Er7/+iu+++w7Lly/Hm2++idmzZ5frdQHvzqNl/Sxu5ZFHHsGcOXPw9ttvY8iQIcUeL+s5rbzf09KU9xzvVJHnufJo1qwZEhISYLFYKuwinFNVvN8VUa6piONQYQ0bNsSjjz6K1atX45VXXilxvYosT4miiL59++Kll17y+LjzgmNoaCgSEhKwbds2/PLLL/jll1+wZs0ajBkzxuPgGCW5raRg6NChmDRpEv766y988803Ja4XFxeH3377DV26dCn1h7Jz506kp6dj8+bN6N69u2t5UlLS7YTpNalUivj4eCQmJrqqmJwSExPdrkSdO3cOoii6RsqIi4sDYwyxsbGuD8mTuLg4AI4svrQCQEhICJRKpatmobCzZ8+63XdmlkWbPZV2JfNW+1MWzslTzp49i4YNG7qWWywWJCUllbqft3K7Py5nPFKptFxxOOfeePvtt11X95wyMzPx5JNPYuvWrW7V79euXSt2Zee///4DgGLvb9HPlzGGc+fOIT4+3usYQ0JCoNVqceLEiVLX27RpE3r16oXPPvvMbXlWVpbHq/Llic3b33pFMBgMGD9+PFq0aIHOnTtjwYIFGDp0qGu0lcISExPdCnm5ublISUnBwIEDS9x+TEwMjh07BlEU3Qp7zmaMpU0aVBlJdlk/v8rahje8PR4CJb9XcXFxOHr0KHr37l2h76fBYMD333+PkSNHeqzdnjp1KtavX49evXq5jtcnTpwo1/EjJiYGv/32G3JyctxqCzx9h3ieR+/evdG7d28sWrQI7777Ll577TX8+eefrtdWq9UYOXIkRo4cCYvFgmHDhuGdd97BzJkzSxx+tSLeu4r+LJy1BePGjcP3339f7PHynNNuV0Wd48uq8PmzqDNnziA4OLhcQ9sOHjwYBw4cwHfffXfLiyWVeQ4vya3e77J8B0o7hlT0Z/b6669j3bp1eO+994o9FhMTA1EUkZiY6FZeuHHjBrKyslzvs/NvYmKi2/t98+bNYrUqcXFxyM3N9eozkMlkGDx4MAYPHgxRFPHMM89g1apVeOONN7yeV+q2Bq328/PDihUrMGvWLAwePLjE9UaMGAG73Y45c+YUe8xms7k+dGcmVzirtFgsWL58+e2EWUxiYiIuX75cbHlWVhYOHDiAgICAYlc0nUNjOjknsRgwYAAAYNiwYRAEAbNnzy6WFTPGkJ6eDgBo164d4uLi8P777yM3N7dYDDdv3gTgeC/69++PrVu3usV6+vTpYu3YtVotgoODXW3LnEp73261P2XRp08fyGQyLF682G3fP/vsM2RnZxdrXlMWzoNheeeOCA0NRc+ePbFq1SqP7QCd73dJnE2HXnzxRQwfPtztNnHiRDRu3LjYVXGbzebWtt1isWDVqlUICQlxTR7j9OWXX7pV8W7atAkpKSll+hx4nseQIUPwv//9D4cOHSr2uPMzEQSh2Hdz48aNJfapKE9s3v7WK8LLL7+My5cv44svvsCiRYvQoEEDjB071mMt2+rVq2G1Wl33V6xYAZvNVuq+DBw4ENevX3e74GGz2bBkyRL4+fm5hgf05Ha/t56U9fOrrG14w9vjIeB4r4o2DQUc36Xk5GSPY6nn5eXBYDCUK7YtW7bAYDBg8uTJxX7TzuFJv/vuO5jNZtx5552IjY3FRx99VOyz9Obq58CBA2G327F06VK35R9++CE4jnN9/zIyMoo911mT7Pw+F37PAEcBoEWLFmCMuX23i6qI72JlfBaPPvooGjVq5LGWw5mMFT6n2e12rF69usyv462KOseXVUREBNq0aYMvvvjC7TM6ceIEtm/fXuqFi9I89dRTiIiIwAsvvOC6KFVYamqqa66dyjyHl+RW73dZyjUlfccr4zOLi4vDo48+ilWrVuH69etujzk/q6IztDtr2JzvY58+fSCVSrFkyRK3uDzN7D5ixAgcOHDAY//FrKwsVz+uovvC87zrAl5ZWp7c9pSopbWNd+rRowcmTZqEefPmISEhAf369YNUKkViYiI2btyIjz/+GMOHD0fnzp0REBCAsWPHYurUqeA4DmvXrq2wzkhOR48exejRozFgwAB069YNgYGBSE5OxhdffIFr167ho48+KlbVlJSUhPvvvx/33nsvDhw4gHXr1mH06NFo3bo1AMcXZe7cuZg5cyYuXryIIUOGQKPRICkpCVu2bMGTTz6JGTNmgOd5fPrppxgwYABatmyJ8ePHIyoqCsnJyfjzzz+h1Wpd7Ypnz56NX3/9Fd26dcMzzzzjKpC0bNmyWL+JJ554AvPnz8cTTzyB9u3bY/fu3R4PBN7uT1mEhIRg5syZmD17Nu69917cf//9OHv2LJYvX44OHTq4XUUvK2cheurUqejfvz8EQXDr4OSNZcuWoWvXrmjVqhUmTpyIhg0b4saNGzhw4ACuXr1a4jj9ZrMZ3333Hfr27VviVbj7778fH3/8MVJTU13t2SMjI/Hee+/h4sWLaNKkCb755hskJCRg9erVxdowBgYGomvXrhg/fjxu3LiBjz76CI0aNcLEiRPLtI/vvvsutm/fjh49euDJJ59E8+bNkZKSgo0bN2Lv3r3w9/fHoEGD8Pbbb2P8+PHo3Lkzjh8/jvXr17tdqbjd2Lz9rd/Kpk2bPFbt9u3bF2FhYfjjjz+wfPlyvPXWW7jzzjsBAGvWrEHPnj3xxhtvFBtn3WKxoHfv3hgxYoTru9m1a1fcf//9Jcbw5JNPYtWqVRg3bhz+/fdfNGjQAJs2bcK+ffvw0UcfldqJz/m9fe211/Dwww9DKpVi8ODBtzWZVVk/v8rahje8PR4Cjvfqm2++wfTp09GhQwf4+flh8ODBeOyxx/Dtt9/iqaeewp9//okuXbrAbrfjzJkz+Pbbb7Ft2zaPHetvZf369QgKCkLnzp09Pn7//ffjk08+wU8//YRhw4ZhxYoVGDx4MNq0aYPx48cjIiICZ86cwcmTJz2eqAsbPHgwevXqhddeew0XL15E69atsX37dnz//feYNm2aq/D79ttvY/fu3bjvvvsQExOD1NRULF++HPXq1UPXrl0BODrWh4eHo0uXLggLC8Pp06exdOlS3HfffaV+F+Pi4uDv74+VK1dCo9FArVajY8eOZeqDURmfhSAIeO211zx2xm3ZsiXuvvtuzJw5ExkZGQgMDMTXX3/tKgBVhoo6x5fHwoULMWDAAHTq1AmPP/448vLysGTJEuh0umLz0XgrICAAW7ZswcCBA9GmTRu3GY0PHz6Mr776Cp06dQJQuefwknhTBvG2XFPS8bayPrPXXnsNa9euxdmzZ9GyZUvX8tatW2Ps2LFYvXq1qzn8P//8gy+++AJDhgxx1VaHhIRgxowZmDdvHgYNGoSBAwfiyJEj+OWXX4rV2L744ov44YcfMGjQIIwbNw7t2rWDwWDA8ePHsWnTJly8eBHBwcF44oknkJGRgXvuuQf16tXDpUuXsGTJErRp06ZYK4dSlWWoosLDM5XG0zwFjDnGWW7Xrh1TKpVMo9GwVq1asZdeeoldu3bNtc6+ffvY3XffzZRKJYuMjGQvvfSSa1irosOQeRqezdPwjUXduHGDzZ8/n/Xo0YNFREQwiUTCAgIC2D333MM2bdrktq5z+KxTp06x4cOHM41GwwICAtiUKVNYXl5esW1/9913rGvXrkytVjO1Ws2aNWvGJk+ezM6ePeu23pEjR9iwYcNYUFAQk8vlLCYmho0YMYL9/vvvbuvt2rWLtWvXjslkMtawYUO2cuVKV0yFGY1G9vjjjzOdTsc0Gg0bMWIES01NLXFIUm/3pyhPQ5I6LV26lDVr1oxJpVIWFhbGnn766WLD+JX0uZXEZrOxZ599loWEhDCO41z77RyubOHChcWeU3SfGWPs/PnzbMyYMSw8PJxJpVIWFRXFBg0aVOzzLuy7775jgPv8AkXt3LnTbZhO5/4dOnSIderUiSkUChYTE8OWLl3q9jzn0HJfffUVmzlzJgsNDWVKpZLdd999xYbG9WZIUsYYu3TpEhszZgwLCQlhcrmcNWzYkE2ePNk1TrXJZGIvvPACi4iIYEqlknXp0oUdOHCg2FCctxsbY9791j0pbUhS5zFAr9ezmJgYdueddxYbEvb5559nPM+zAwcOMMYKjlm7du1iTz75JAsICGB+fn7skUcecRv+j7HiQ5Iy5jhWjB8/ngUHBzOZTMZatWrl1RB5jDmGkouKimI8z99yeNKS5ikorKyfn6dhC293GyWdA0o6LnhzPMzNzWWjR49m/v7+DIDb98lisbD33nuPtWzZksnlchYQEMDatWvHZs+ezbKzs13rociQliW5ceMGk0gkpc7JYjQamUqlYkOHDnUt27t3L+vbty/TaDRMrVaz+Ph4tmTJEtfjpX1+OTk57Pnnn2eRkZFMKpWyxo0bs4ULF7oNRfj777+zBx54gEVGRjKZTMYiIyPZqFGj3IYhXLVqFevevbvrnBEXF8defPFFt/ehJN9//z1r0aIFk0gkbsM8luU86u1n4UlJ74/VamVxcXEeP7/z58+zPn36MLlczsLCwtirr77KduzY4XVZoKRySNHXqoxzfFnPc4wx9ttvv7EuXbowpVLJtFotGzx4MDt16pTbOmUZktTp2rVr7Pnnn2dNmjRhCoWCqVQq1q5dO/bOO+8U+9xu5xxeGe+3t+Uaxko/3npbLiuqtDKvcxjiou+F1Wpls2fPZrGxsUwqlbLo6Gg2c+ZMtyHRGXPM/TF79mzXsbhnz57sxIkTLCYmxm1IUsYcx5CZM2eyRo0aMZlMxoKDg1nnzp3Z+++/7xoyetOmTaxfv34sNDSUyWQyVr9+fTZp0iSWkpJS6j4WxTFWwZfha5lZs2Zh9uzZuHnzZoW2ufWV2rY/1U3Pnj2RlpZ2y/b9O3fuRK9evbBx40avrpyT8vn8888xfvx4HDx4sFxXlQkhhFQcKoNUb7fVp4AQQgghhBBS81FSQAghhBBCSB1HSQEhhBBCCCF1HPUpIIQQQgghpI6jmgJCCCGEEELqOEoKCCGEEEIIqeNue/IyUjeIoohr165Bo9FUyDT3hBBCCKl8jDHk5OQgMjISPE/XgknJKCkgXrl27Rqio6N9HQYhhBBCyuHKlSuoV6+er8Mg1RglBcQrGo0GgOOgotVqfRwNIYQQQryh1+sRHR3tOo8TUhJKCohXnE2GtFotJQWEEEJIDUNNf8mtUOMyQgghhBBC6jhKCgghhBBCCKnjKCkghBBCCCGkjqM+BYQQQgipsex2O6xWq6/D8BmpVApBEHwdBqkFKCkghBBCSI3DGMP169eRlZXl61B8zt/fH+Hh4dSZmNwWSgoIIYQQUuM4E4LQ0FCoVKo6WSBmjMFoNCI1NRUAEBER4eOISE1GSQEhhBBCahS73e5KCIKCgnwdjk8plUoAQGpqKkJDQ6kpESk36mhMCCGEkBrF2YdApVL5OJLqwfk+1OW+FeT2UVJACCGEkBqpLjYZ8oTeB1IRKCkghBBCCCGkjqOkgBBCCCHkNsyaNQtt2rTxdRiE3BZKCgghhBBCCKnjKCkghBBCajDGGESr0ddhEEJqOEoKCCGEkBoq78pOXFvfHpeW+ePq2rbI2PMK8i7/DmYz+zq0aqtnz56YOnUqXnrpJQQGBiI8PByzZs1yPX758mU88MAD8PPzg1arxYgRI3Djxg23bcyfPx9hYWHQaDR4/PHHYTKZir3Op59+iubNm0OhUKBZs2ZYvny56zGLxYIpU6YgIiICCoUCMTExmDdvXqXtMyHeoHkKCCGEkBrGmnUeGXtehvH8DwXL0k8iO/0ksv9dBE6igqJeDygb9IMqph8k/o1ohJpCvvjiC0yfPh1///03Dhw4gHHjxqFLly7o3bu3KyHYtWsXbDYbJk+ejJEjR2Lnzp0AgG+//RazZs3CsmXL0LVrV6xduxaLFy9Gw4YNXdtfv3493nzzTSxduhRt27bFkSNHMHHiRKjVaowdOxaLFy/GDz/8gG+//Rb169fHlStXcOXKFR+9G4Q4cIwx5usgSPWn1+uh0+mQnZ0NrVbr63AIIaROEs16ZP0zD9kJSwC7BeAEaOMnQdt2Csw3DiPv0nbkXdwOu/G62/Mk2lgoG/SDMqYflNE9wcs0PtqDimEymZCUlITY2FgoFIoyPbdnz56w2+3Ys2ePa9ldd92Fe+65B71798aAAQOQlJSE6OhoAMCpU6fQsmVL/PPPP+jQoQM6d+6Mtm3bYtmyZa7n33333TCZTEhISAAANGrUCHPmzMGoUaNc68ydOxc///wz9u/fj6lTp+LkyZP47bffKiRZK+39oPM38RbVFBBCCCHVHBPtyD31BTL2vwnRmAoAUNbvi8AeCyALagkAkPo3gl/TEWCMwZp2HMb8BMF0bR9s+iTkHFuFnGOrAF4KRWRnR4IQ0xeykNZ1rhYhPj7e7X5ERARSU1Nx+vRpREdHuxICAGjRogX8/f1x+vRpdOjQAadPn8ZTTz3l9vxOnTrhzz//BAAYDAacP38ejz/+OCZOnOhax2azQafTAQDGjRuHvn37omnTprj33nsxaNAg9OvXr7J2lxCvUFJACCGEVGN5V3cjY9cLsNw8CgCQBjRGYPeFUDYY4LEwz3EcZCHxkIXEw7/9DIiWXJiu7oTx4nbkXdoOW/YFmK7ugunqLmTuew2CKhzKmL75tz4QlMFVvYtVTiqVut3nOA6iKFbItnNzcwEAn3zyCTp27Oj2mCAIAIA777wTSUlJ+OWXX/Dbb79hxIgR6NOnDzZt2lQhMRBSHpQUEEIIIdWQNTsJGXtegfHcFgAAL/eHf8fXoW39FDhB5vV2eJkfVA0HQdVwkGO7WeeQd2kHjBe3wXRlJ+zG68g9vRa5p9cC4CALawdVg35QxvSHPLwDOL7uFBWaN2/uat9fuPlQVlYWWrRo4Vrn77//xpgxY1zP++uvv1z/h4WFITIyEhcuXMAjjzxS4mtptVqMHDkSI0eOxPDhw3HvvfciIyMDgYGBlbR3hJSu7vzSCSGEkBpAtOQg65/5yD7ycX6/AR6aVhMR0OmtCrmKL/VvBKl/I2hbPw1mM8OUsh95F7ch79IOWNKOw3LjECw3DiHr73fBy/2hqH8PVDH9oYzpC4mmXgXsYfXVp08ftGrVCo888gg++ugj2Gw2PPPMM+jRowfat28PAHjuuecwbtw4tG/fHl26dMH69etx8uRJt47Gs2fPxtSpU6HT6XDvvffCbDbj0KFDyMzMxPTp07Fo0SJERESgbdu24HkeGzduRHh4OPz9/X2054RQUkAIIYRUC4yJyD21Fpn73nB1FFbU742g7gshC76jUl6Tk8ihjO4FZXQvoNt82HKvIe/Sb8i7tA15l36DaM6EMXEzjImbAQDSoBZQxjhGNJJHdQUvKVsn3+qO4zh8//33ePbZZ9G9e3fwPI97770XS5Ysca0zcuRInD9/Hi+99BJMJhMefPBBPP3009i2bZtrnSeeeAIqlQoLFy7Eiy++CLVajVatWmHatGkAAI1GgwULFiAxMRGCIKBDhw74+eefwfM0UjzxHRp9iHiFRi8ghJDKY0rei/RdL8CSegQAIPFvhMBu70HVcJDPOgEz0Q7zjX8dCcLF7TDfOAiwgnb3nETpGPY0ph9UDfpB4t+4ymK9ndGHaiMafYhUBKopIIQQQnzEmn0RmXtfhSHR0cGUk2kR0PE1aNtMLlO/gcrA8QIUEXdBEXEXAu5+A3ZTBvIu/468Szscw54ariHv4q/Iu/grMnYBEm0D14hGyuhe4OVUACWkJqGkgBBCCKlioiUXWYcWQP/vh2B2s6PfwB2PO/oNqEJ9HZ5HgiIQfk0egl+ThxzDnqafyO+wvB2ma3th019EzvHVyDm+GuAlUER0diQIDfrlD3tKTWMIqc4oKSCEEEKqCGMick+vc/QbMKQAABT1eiKox/uQhcTf4tnVB8dxkAW3giy4FXTtpkO0GmC6ugt5F7fDeGk7bFnnYEreDVPybmTufwOCKgzKmD6OmoT6fSCoQny9C4SQIigpIIQQQqqA6doBR7+BG4cAABJdQwR2mw9V3AM1fvIwXqqGKnYgVLEDEQTAmnXe0czo0nbkXfkTduMN5J5ej9zT6+EY9vROqGIcMyzLIzrWqWFPCamu6FdICCGEVCKb/jIy9r0Gw9lvAACcTAP/u2ZC1+ZZcBK5j6OrHFL/OEj946Bt/RSY3QLTtf2OBOHidljSjsFy419YbvyLrH/mgZfpoKh/T/6oRn0h0db3dfiE1EmUFBBCCCGVQLQakH3ofWT/uwjMlgeAg98d4xHYaTYEdZivw6synCCDMronlNE9ga7vwmZIcXVWzrv8O0RTOozntsB4bgvSAUgDm0EZ0x/KBv2giOoKXqL09S4QUidQUkAIIYRUIMZEGM58hYx9r8OemwwAUER1Q2CP9yEPbevj6HxPoo6ApsUYaFqMARPtsKQehjF/8jTz9b9hzTgDa8YZ6I98DE5QOIY9beAY1Uga0LTGN7UipLqipIAQQgipIKaUv5Gx6wWYr/8DwDFMZ2C3+VA1GkqFWQ84XoA8vAPk4R0QcPfrsJsyYbryB4wXtyPv0nbYc5PzJ1JzTAwm0cRAGdMXfPRAMBbr4+gJqV0oKSCEEEJuky3nqqPfwJmvAACc1A/+HV6G9s7nat2sv5VJUARA3fhBqBs/6Bj2NOOUa0QjU/Ie2HIuIefEp7Cf3wF7m6WwZPGQaPzBy3TgJEpKvAi5DZQUEEIIIeUkWo3I/ncRsg+9D2YzAuDg12IMArq8DYk6wtfh1Wgcx0EW1BKyoJbQtXs+f9jT3ci7tAM5KccAMMBmhD3XCDuuAbwEvEzrunGC1Ne7QEiNQjOJ1DC7d+/G4MGDERkZCY7jsHXr1ls+x2w247XXXkNMTAzkcjkaNGiA//u//6v8YAkhpJZijCH3zNe4+mUrZP31NpjNCHlkF0SOOoCQfp9QQlAJHMOeDkBQz0UIH/ojBL8oCOoI8HIdwPGAaINoyoBNf9ExwlH6adhykyFacsCY6OvwXcpzHiekKlBNQQ1jMBjQunVrTJgwAcOGDfPqOSNGjMCNGzfw2WefoVGjRkhJSYEoVp8DJCGE1CTm64eQvms6zCl/AXC0cw/o9i7UjYdT85UqxPESCMpASBWRYEwEsxogmvUQLXowmxHMZoTdZoTdcB3gBPAyjaMGQa4FL/huKNjynMcJqQqUFNQwAwYMwIABA7xe/9dff8WuXbtw4cIFBAYGAgAaNGhQSdERQkjtZctNRua+N5B7eh0AgJOq4d/hJWjvnEbDZvoYx/HgZBrwMg2AKDC7FaJF77pBtEE0Z0E0ZwE5ACcowMu14GRa8DINOK7qGk6U9TxOSFWhpKCW++GHH9C+fXssWLAAa9euhVqtxv333485c+ZAqSz5JGY2m2E2m1339Xp9VYRLCCHVjmjLQ/a/HyL74IL8fgOAX/NHEdBlLiR+kT6OjgCO5lxGi73QEg7gdYBCB6ZgYLa8/FqEHDBrLgAjkGcEcB0A50gMZBpHoiDIwcH7Gh+VTKAaIlIrUFJQy124cAF79+6FQqHAli1bkJaWhmeeeQbp6elYs2ZNic+bN28eZs+eXYWREkJI9cIYgyFxEzL3vApbziUAgDyiE4J6fAB5eHsfR0cKM1rs0Lz2y21sIaXcz8x5ZwDUcipOkZqPvsW1nCiK4DgO69evh06nAwAsWrQIw4cPx/Lly0usLZg5cyamT5/uuq/X6xEdHV0lMRNCiK+ZbxxG+q4XYL62DwAgaKIR2OUdqJuOpKvChJBaiZKCWi4iIgJRUVGuhAAAmjdvDsYYrl69isaNG3t8nlwuh1zuu45YhBDiCzZDCjL3vYncU18CYOAkSujavwhdu+ngpSpfh0dKoJIJyHnn9tvpM2aHaDWAWfQQzTlgdpP7Cq5hTx39FzheCpVMuO3XJaQ6oKSgluvSpQs2btyI3Nxc+Pn5AQD+++8/8DyPevXq+Tg6QgipHkSbCfrDHyPr4Hv5bc4BdbNRCOzyDiQaOlZWdxzHVVATHgmgkANwDMwh2syOBMHi6I8AZgfELMCUBZgATqKCXZ4/L4JUXaUdlgmpaJQU1DC5ubk4d+6c635SUhISEhIQGBiI+vXrY+bMmUhOTsaXX34JABg9ejTmzJmD8ePHY/bs2UhLS8OLL76ICRMmlNrRmBBC6gLGGIznNiNjz0zY9BcBAPLwuxDY4wMoIjr6Njjic7xEDkhCIKhCCoY9teghmm8x7KlM63iuB7c6jxPiK5QU1DCHDh1Cr169XPed7f7Hjh2Lzz//HCkpKbh8+bLrcT8/P+zYsQPPPvss2rdvj6CgIIwYMQJz586t8tgJIaQ6MaceQcauGTAl7wEACH5RCOz6DtRNH6YrvqQYt2FP/W4x7CmKDHsq9QPHO5oZ3eo8ToivcIwx5usgSPWn1+uh0+mQnZ0NrVbr63AIIaTc7IYbyDjwFnJPrAHAwAkK6Nq/AF37GeClal+HR7xgMpmQlJSE2NhYKBQKX4cDxhiYzVhQi5DfBK0Al59QaPOHPVVUaIf10t4POn8Tb1FNAfGp3LPfgJOoINHWh0RTH7zcn0b2IIRUCmYzIzthCbL+mQdmyQEAqJuOdPQb0FKzDVJ+HMeBk6odSaU6Aky0QbTkuJIEiBYwix52ix72XAC8DHx+XwRHh2UqjhHfo28h8an0P6dBNKW77nMyDSSaaEg0MY6/+cmC86+gjnBVwRJCiDcYYzCe/x4Ze16BLfsCAEAW1g5BPRZBEdnJx9GR2ojjJRAUARAUAY5aBLvJUYPg7LAsWiDmpUHMS3OsL1WDl+kgKIPBCVIfR0/qKkoKiM8w0Q5FVFfYcq7AlnMZYl4amCUH1vRTsKaf8vwkXgKJXz1XwiA4Ewht/fxkoj4NG0gIcTHfPIqMXS/CdHUnAEBQRyCgy1z4NX+E+g2QKsFxHDiJErxECajDwJjomFnZ2dTIbgKzGmC3GiAog30dLqnDKCkgPsPxAsIGb3TdF61G2HIuO5IE/WXYcy477uvzl+VeBUQbbPqLjlFCkj1vl1cGO2oXNNGQaGPyaxoKah94ZTA1USKklrMbU5G5fxZyTv4fwERwghzads/Dv/1L4GV+vg6P1GEcx0OQ6wC5DtAAzG7OTw7MVEtAfIqSAlJt8FIVZIHNIAts5vFxJtphN6QUShQKEghbfgLBLDkQ89JgyUuDJfWwx+1wEqWriZKgjS6eQPhF0YGZkBqK2S3QJyxD5t/vgFn0AAB14+EI6DYPUm2Mj6MjpDhOkENQhfg6DEIoKSA1B8cLkGjqOSYSiuxc7HHGGERzlitpsOc3SyqcQNgNKWC2PFgz/4M187+SXgiCOrJQnwZnE6X8BEIb4xiSjhBSbTDGYLzwIzL2vAxblmMMeFloWwT1+ACKqK4+jo4QQqo/SgpIrcFxnKtjlzyktcd1mM0MW+5V92TB2Twpv7YBdgvsuVdhz70Kc8oBj9vh5f5uzZKEIp2iBVUYtVcmpIpY0o4jffdLMF3+HQAgqMIR0GUO/Fo8Rr9DQgjxEiUFpE7hJHJI/eMg9Y/z+DhjIuzGVEctg/5SQbLg/F9/GaI5E6I5CxZzFixpxzy/kCCDxC/arQO0W9LgVw+8xPdjaxNSk9mNN5H519vIOf5JQb+BO5+Df4eXqTaPEELKiJICQgrhOB4SdTgk6nDIwzt4XEe05OQnCgW1C25NlHKTAbsFtuzzsGWfL/G1BFV4oVGU6hdJIGJozgZCSsDsFuiPrkDWX3MhWrIBAKpGQxHYbT6kulgfR0cIITUTJQWElBEv00AW1BKyoJYeH2d2K2yGa0VGUHJPIJjNCLvxOuzG6zDfOOhxO5zUr6B2wdUZulBtgzqS5mwgdQpjDHkXf0HG7hdhzUwEAMhCWiOwxwdQ1uvu4+gIIaRmo6SAkArGCVJItTEljnTCGINoyijWLMmVNORcgWhMBbPmlj5nAyc45mxwztdQOIHQOudsUFfinhJSdSzpp5Cx60XkXd4BAOBVoQjs/Db8Woyl5JjUGPPmzcPmzZtx5swZKJVKdO7cGe+99x6aNm3q69AIoaSAkKrGcRwEZRAEZRDkoW09riPa8vL7NTg7QV8q+F9/GbbcK445G3IuwZZzqcTX4hVBRZKFwsOvRoNXhlATJVKt2fPSkfXXHOiPrQKYHRBk0LV5Fv53zQQv1/o6PELKZNeuXZg8eTI6dOgAm82GV199Ff369cOpU6egVtNFHOJblBQQUg3xEiX4gCaQBjTx+DgT7bAbr+c3S/JQ26C/7Jgt05QOiykdltQjHrfDCQpItNEQiswK7Uog/KLACbLK3FVCPGJ2K/THViHrrzkQzZkAAFXcA45+AyUMFEBIdffrr7+63f/8888RGhqKf//9F927UxM44luUFBBSA3G8AIlfFCR+UQDu9riOaM4uMoKS+4RvdkMKmN0Ea2aiq322h1eC4BfpcQQl5/wNdLWWVDRj0q/5/QbOAgBkwa0Q2ON9KKN7+TgyUl0xxsBsRp+8NidRlbvGNTvb0VE+MDCwIkMipFwoKSCkluLlOshC4iELiff4OLNbHHM2eJivwZ7fOZrZTbDnJsOemwxzyl+eX0emgzSgCaQhrSAPjoc0uBVkwXdAUARU5u6RWsiScQYZu19C3kXH1VReGYKAzrOhaTme+g2QUjGbEZeW+eaYEzM5E1w5+m+Joohp06ahS5cuuOOOOyohMkLKhpICQuooTpBBqmsIqa6hx8cZYxDzbuYnC0WaKOUnEKIpHaIlG+YbB2G+cRC5hZ4vaKIhC25VcAtpBal/Y3A8HXaIO7spA1l/zYX+2EpAtAG8FNo2UxDQ8VXwcp2vwyOkUkyePBknTpzA3r17fR0KIQAoKSCElIDjOAiqUAiqUMjD23tcR7TkwpZzCdb007CkHc+/nYBNfxH2nCvIy7mCvKSfC7YpKCANauGWKMiCW0FQBlfVbpFqhIk25Bz/BJkHZkM0ZQAAVA0HIbDbe5AGNPZxdKQm4SQqxEzO9Nlrl9WUKVPw448/Yvfu3ahXr14lREVI2VFSQAgpN17m55qzQd1kuGu5aM6GJe1EQaJw8xgs6SfArAZYUg/DknrYbTuCOjI/UbgjP1GIhzSgKThBWtW7RKqI8dIOZOyaAWvGaQCANKgFgrq/D2VMHx9HRmoijuPK1YSnqjHG8Oyzz2LLli3YuXMnYmNpsj1SfVBSQAipcLxcB0VUFyiiuriWMSbClp3kniiknYAt+zzshmvIM1xD3qVthTYihSywuStJcNYuCOowH+wRqSiWjLPI2POyqwaJVwQhoNMsaFo9Tk3LSK03efJkbNiwAd9//z00Gg2uX78OANDpdFAqlT6OjtR1HGOM+ToIUv3p9XrodDpkZ2dDq6XRZkjFES25sKSfzE8SjrtuzKL3uD6vCs1PEOIdNQvBrSALbA5OIq/iyElZ2E1ZyPr7HeiPLsvvNyCBtvVk+Hd8lTqlkzIzmUxISkpCbGwsFAqFr8PxWkmjFK1Zswbjxo0r93ZLez/o/E28RZdlCCE+xcv8oIjoCEVER9cyxhhsOZddiYI1P1GwZiZCNKbCdPl3mC7/XmgjEkgDmhbr2CyoI2lyNh9jog05J/4PmQdmQcxLAwAoYwcisNt7kAXSLK6kbqHrsKQ6o6SAEFLtcBwHqTYGUm0M1HGDXctFqxHW9FNFmiAdh2jOhDX9JKzpJ2E4+7VrfV4RVKxTszSoBXgJVdNXhbzLfyB91wuwpp8EAEgDmyGw+/tQNejn48gIIYQURUkBIaTG4KUqyMPbu42GxBiDPTe5WKJgzfwPoikdpqs7Ybq6s2AjHA+pf+NCiYKjv4KgiaZahQpizUxExp6XYbzwIwCAVwQi4O43oWk1kTqPE0JINUVJASGkRuM4DhJNPUg09aCKHeBaLtpMsGachuXm8UJ9FY5BzEuDNfMsrJlnYUjc5Fqfl+mKTMDWCrLgluBrwIgm1YVozkbWP/OQfWQJIFoBToC29dPwv/t1CAqasZUQQqozSgoIIbUSL1FAHtoW8tC2rmWMMdiN190SBWvacVgyzjgmYUveC3Ny4YmEOEj844r1VZBoG4Dj+KrfqWqKiXbknFyDzP1vQcy7CQBQxvRHYI8FkAU293F0hBBCvEFJASGkzuA4DhJ1BCTqCLd27cxugTXjjNsEbJabx2A3Xoct6xxsWedgPLelYDsyDWRBd7j3Vwi6A7y87o3skXdlFzJ2vQBL2jEAgDSgiaPfQOy9Po6MEEJIWVBSQAip8zhBBllIPGQh8W7L7cbUgknYnEOmZpwCs+TAnHIA5pQDbutLtLFuE7DJgltBomsIjheqcneqhDX7AjJ2vwzj+e8BALzcH/53vwFt/FPUb4AQQmogSgoIIaQEgioUyvr3QFn/HtcyZrfCmpVYaF4FR9Jgz70Kmz4JNn0SjBf+51qfk6gcsz6HOJIEaf7MzTV1bH7RrHf0G0hYAtgtACdAE/8kAu5+A4Iy2NfhEUIIKSdKCgghpAw4QQpZUAvIgloAeNi13J6XXlCrkN+p2Zp2EsxmhPnGQZhvHHTbjqCJLtZXQerfuNrO6stEO3JPfYnM/W/CbrwBAFDU74OgHgshC2rp4+gIIYTcrup59iGEkBpGUAZBGd0DyugermVMtMOadc41+Zol7RgsN0/AlnMJ9pwryMu5grykn13rc4IC0qAWxeZW8PUV+Lyrexz9Bm4mAAAk/o0Q1H0hlLEDaRhXQgipJSgpIISQSsLxAmSBTSELbAp1k+Gu5XZTFqzpJ937KqSfALMaYEk9DEvqYbftCOrI/EShoL+CNKBppbfdt2YnIWPvTBgTNwNwDNvqf/dr0LZ+Bpwgq9TXJoQQUrUoKSCEkComKPwhRHWBIqqLaxljImzZSfm1CQWjINmyz8NuuIY8wzXkXdpWsBFeCllgc7dOzbLgVhDUYbcdn2jJQdbB96A//DGY3QxwPDR3PIGATm9BUIXc9vYJqatWrFiBFStW4OLFiwCAli1b4s0338SAAQNKfyIhVYCSAkIIqQY4jofUPw5S/zioGw11LRctObCknSzUV8FxYxa9I4FIOwZgvWt9XhVaKEnIHzY1sDk4ifyWMTAmIvfUOmTuex1243UAgCK6F4K6Lyw2MhMhpOzq1auH+fPno3HjxmCM4YsvvsADDzyAI0eOoGVL6ptDfItjjDFfB0GqP71eD51Oh+zsbGi1dW8sdkKqE8YYbPpLRTo1H4c18xwAD4d0XgJpQNMiHZvjIagjXH0CTMn7kL7rBVfTJYkuDoHd34Oq4WDqN0CqHZPJhKSkJMTGxkKhUPg6nNsSGBiIhQsX4vHHHy/3Nkp7P+j8TbxFNQWEEFLDcBwHqa4BpLoGUMcNdi0XrUZY00/l1yAcz2+GdAyi2dGHwZp+EoazX7vW5xVBkAW3AidRIO/ir45ty7QI6PgqtK0ne1W7QEh1wBiD0WbxyWurJLJyJc52ux0bN26EwWBAp06dKiEyQsqGkgJCCKkleKkK8vD2kIe3dy1jjMGem1ykr8JxWDP/g2hKh+nqzvw1OWjumICAzrMhqEJ9Ej8h5WW0WaBd95pPXlv/6DtQS71PoI8fP45OnTrBZDLBz88PW7ZsQYsWLSoxQkK8Q0kBIYTUYhzHQaKpB4mmHlSxA13LRZsJ1ozTsNw8DlvuFahi74M8tI3vAiWkjmjatCkSEhKQnZ2NTZs2YezYsdi1axclBsTnqE8B8Qq1SSSEEFJdFG1DXxObDzn16dMHcXFxWLVqVbm3QX0KSEWgmgJCCCGE1Ggcx5WpCU91IooizGazr8MghJICQgghhJCqMHPmTAwYMAD169dHTk4ONmzYgJ07d2Lbtm23fjIhlYySAkIIIYSQKpCamooxY8YgJSUFOp0O8fHx2LZtG/r27evr0AihpIAQQgghpCp89tlnvg6BkBLxvg6AEEIIIYQQ4luUFBBCCCGEEFLHUVJACCGEEEJIHUdJQQ2ze/duDB48GJGRkeA4Dlu3bvX6ufv27YNEIkGbNm0qLT5CCCGEEFLzUFJQwxgMBrRu3RrLli0r0/OysrIwZswY9O7du5IiI4QQQgghNRWNPlTDDBgwAAMGDCjz85566imMHj0agiCUqXaBEEIIIYTUflRTUAesWbMGFy5cwFtvveX1c8xmM/R6vduNEEIIIYTUTpQU1HKJiYl45ZVXsG7dOkgk3lcMzZs3DzqdznWLjo6ulPjsIquU7RJCCCGEEO9RUlCL2e12jB49GrNnz0aTJk3K9NyZM2ciOzvbdbty5UqlxDh583E8uv4wUnPMlbJ9QgghhBBya9SnoBbLycnBoUOHcOTIEUyZMgUAIIoiGGOQSCTYvn077rnnHo/PlcvlkMvllRrfxQwjPvvnMuwiw69nU/HB4JYY074eOI6r1NclhBBCCCHuqKagFtNqtTh+/DgSEhJct6eeegpNmzZFQkICOnbs6NP4GgSqcODZrmgTqUWG0Yrx3ySg/+q/cD7N4NO4CCGEkKowf/58cByHadOm+ToUQqimoKbJzc3FuXPnXPeTkpKQkJCAwMBA1K9fHzNnzkRycjK+/PJL8DyPO+64w+35oaGhUCgUxZb7Svtof/z9XDcs2nUBs7efxW+JaYj/YCdm9WuK57s3hESgvJUQQkjtc/DgQaxatQrx8fG+DoUQAFRTUOMcOnQIbdu2Rdu2bQEA06dPR9u2bfHmm28CAFJSUnD58mVfhlhmUoHHy/c0wrEZPXFPo2DkWUW8/NNpdFy8B4evZvk6PEIIIaRC5ebm4pFHHsEnn3yCgIAAX4dDCACAY4zR8C/klvR6PXQ6HbKzs6HVaivtdRhj+OLQVbzww0lk5lnBc8Dz3eMwu38TqGRUsUUIIQQwmUxISkpCbGwsFAoFGGNgFqNPYuFkqjL3hRs7diwCAwPx4YcfomfPnmjTpg0++uijcsdQ9P0orKrO36Tmo1IWqVY4jsO4DtEY0CwUz39/Al8nXMMHu85j8/EUrBwej75NQnwdIiGEkGqGWYw486SfT1672epccHK11+t//fXXOHz4MA4ePFiJURFSdtR8iFRLYRo5NjzaDv+bcBei/RVIyjCi/+q/MO6rI0gz0PClhBBCap4rV67gueeew/r164td0SfE16j5EPGKL6sfc0w2vP7rGSzdlwTGgGC1DB8+0BKj20bR8KWEEFIH1dTmQ1u3bsXQoUMhCIJrmd1uB8dx4HkeZrPZ7TFvUfMhUhGo+RCp9jQKCT4ecgdGt43CxI1HceJ6Dh7bcATr/72K5Q/Go0GgytchEkII8SGO48rUhMdXevfujePHj7stGz9+PJo1a4aXX365XAkBIRWFmg+RGqNjTAAOTeuOOfc2hVzC49ezN3HHwp34cPd52EWq8CKEEFK9aTQa3HHHHW43tVqNoKCgajNUOKm7KCkgNYpMwuO1Pk1w9IUe6NEwCEarHS/8cAqdFu/B0WvZvg6PEEIIIaRGoqSA1EhNQvzw+1OdsGp4PHQKCQ5dzUb7j/Zg5s+nkWe1+zo8QgghxCs7d+68reFICakolBSQGovnOUy8OwanXuqF4fERsIsM7/1xDq0/2IU/EtN8HR4hhBBCSI1BSQGp8SK0Cnw7pj22jOuAKJ0C59IM6LPqAB7/NgEZRouvwyOEEEIIqfYoKSC1xgN3hOPkiz3xdOcG4DhgzT9X0GLBn/gmIRk08i4hhBBCSMkoKSC1ilYhxbJhrbBnchc0D/VDaq4Fo9Ydxv3/9w8uZ/pmDGtCCCGEkOqOkgJSK3VuEIjD07vjrX5NIBU4/HQ6FXe8vxNL9ibR8KWEEEIIIUVQUkBqLblEwFv9miJheg90aRCAXLMdz209gW7L9uFEit7X4RFCCCGEVBuUFJBar3mYBrue6YLlw1pBI5fgr0uZuPPD3Xjj1zMw0fClhBBCCCGUFJC6gec5PNW5AU691BMPtAyDTWR457dEtF20C7vPp/s6PEIIIYQQn6KkgNQpUTolNo/rgI1j2iFcI8fZmwb0XLEfkzYdRVae1dfhEUIIIYT4BCUFpM7hOA4Pxkfi1Eu9MPHu+gCAT/66jJYL/8Tm4yk+jo4QQgghpOpRUkDqLH+lFKuGt8bOpzujSYgaKXozhn9xCMM+P4jk7Dxfh0cIIaSWmTVrFjiOc7s1a9bM12ERAoCSAkLQPS4ICdN74LU+jSHhOWw9cR0tF+7Eiv0XIdLwpYQQQipQy5YtkZKS4rrt3bvX1yERAgCQ+DoAQqoDhVTAnHubYUTrSDy58Sj+vpyFyZuPY8Phq1j9UGs0D9P4OkRCCCElYIxBtIo+eW1eyoPjOK/Xl0gkCA8Pr8SICCkfSgoIKaRVhBZ7p3TF8v0X8dovp7HvYibaLtqNmb0b4ZV7GkEuEXwdIiGEkCJEq4iEt3b65LXbzO4JQeb9uSExMRGRkZFQKBTo1KkT5s2bh/r161degIR4iZoPEVKEwHN4tmssTszoifuah8JiFzF7+3+4c9Fu7L+Y4evwCCGE1FAdO3bE559/jl9//RUrVqxAUlISunXrhpycHF+HRgg4xhg1mia3pNfrodPpkJ2dDa1W6+twqgxjDN8evYbntp5Aaq4FHAc81akB5g1sBq1C6uvwCCGkTjKZTEhKSkJsbCwUCkWNaj5UWFZWFmJiYrBo0SI8/vjj5Y6h6PtRWF09f5Oyo+ZDhJSC4ziMbBOFvk1C8OKPp7DmnytYsf8ifjh5HUuHtsIDd1C7UEII8TWO48rUhKe68Pf3R5MmTXDu3Dlfh0IINR8ixBuBKhk+G9EGv03qhLggFZKzTRj6+UGM+PIQUvQmX4dHCCGkBsrNzcX58+cRERHh61AIoaSAkLK4p3Ewjs3oiZfvaQSB57DpWApaLPgTn/59CdQSjxBCSGlmzJiBXbt24eLFi9i/fz+GDh0KQRAwbMRIGHzU/IkQJ0oKiE+JNbAgrZQKmDewOQ4+1w3t6+mQbbLhyY3HcM+KA/jvZq6vwyOEEFINMcZw5cpVPDxqFJo2bYrhD42AUhuIb3fsgVkRiOsGe408J5LagzoaE69UVkel1/ZlQGRA0wApmgVK0TRAigBFzWkXahcZFu+9gDd+OQuj1Q65hMfrfRrjxZ6NIJNQzk0IIZWhtI611YHIGKx2BrMIWOzMdbOXUOISOEAmcAhRCZDyZe+0TB2NSUWgjsbEZ0w2EeezbGAALmTb8MvFPABAmIpHkwCZK0mI8hPAl3Nkh8om8Bye7x6HoXdE4OnvjmHb2Zt449ez+CbhGj55qDU6xgT4OkRCCCGVhDEGG3Mv+FvyE4GSyAQOMj7/b/5NwqHcIxgRUlGopoB4pbKuNKTl2XE2w4qzmY7bJb0jSShMLeXQNMCRIDQNlCJOJ4VMqH4HT8YYNhxJxvPfn0SawTF86ZQusZh7bzNoFJR/E0JIRfFFTYHInAV/wCJ6f/XfeZPzgFTgKuUiF9UUkIpASQHxSlUdVIxWEYlZVleikJhlhdnuvo6EBxpqJWgaKHMlC1p59Wmqk2YwY8YPp/Dlv1cBANH+CiwfFo/7WoT5ODJCCKkdKjMpYIzBJjoK/mZ7QSJgFT0XlzgOkPIcZAIg5wuSAKEKr/5TUkAqAiUFxCu+OqjYRIZLehvOZBYkClnm4iM0RKoFV01C0wApItSCz6tit59NxdPfHUdShhEA8HCbSHz4wB0I08h9GhchhNR0FZUU2EVW6Kp/QQ1ACeV/SHhAVqjgLxMc9319vqGkgFQESgqIV6rLQYUxhtQ8EWcyLI4mRxlWXM21F1tPK8tvcpRfm9BQJ4GkHJ23bpfBbMOs7f/hw93nITIgQCnF+4NbYFyHaJ+fRAghpKYqa1LAGIPV2em3UNOfkkYB5bjChf+C/31xHvEGJQWkIlBSQLxSnQ8quRYR/2VaHbUJmVacz7IWO9BLeaCRvxTN8msTGgdI4SetuiZH/17NwpMbj+JIsh4A0LtxMFY+GI+4YHWVxUAIIbVFaYXgcl39FzjIeA7y/BoAKV+zOv5SUkAqAiUFxCs16aBitTMk6W1utQk5VvevOQegnsbR5KhZgAxNA6UIUfKVehKw2UV8uPsCZm0/izyrCIWEx1v9mmJ6j4aQCtWnTwQhhFR3JpMJFy4koV5MA/BSuaPtf37h3+bF1X+5UJAICNX06n9ZUFJAKgIlBcQrNfmgwhhDisGOM4VGOUoxFG9yFCDn0TSwoDYhRiOplJPF+TQDnv7uGH5LTAMAtInU4pMRrdGunn+FvxYhhNQGeouIS3obLuttuJRjQ2aOEd1VaQirFwNBVrz5kLTwkJ98zbz6XxaUFJCKQEkB8UptO6hkm8X8WgQLzmRakZRtKzasnFzg0Nhfkp8oyNA4QAJlBU1IxhjDl4eu4oX/nUSG0QqeA57r1hBv928KtZyGLyVVgzGGbAtDWp4dCoGDVsbDT1Y5QyYS4g2byJCca3cV/i/nOBKBzCIDTAQKVowKzURkdAyUSmV+wb92Xf0vC0oKSEWgpIB4pbYfVCx2hnNZVldzo7OZVhhtxZscxWglbrMvBylvb/bl1Bwznv/hJL46kgwAaBCgxMrh8ejXNPS2tktIYQariBSDPf9mQ4rBjuv59/M8fM81MkeCoJXx0OT/1co56Aovk+f/L617BTBy+xhjyDaLuJhf6L+cY8MlvR3JucUv0DiFqQTU10gQo5UgRmmHSn8VcQ1joVQqqzb4aoiSAlIRKCkgXqlrBxWRMVzNdU6sZsGZDCtu5hVvqBqi5NHElSTIEK0p3+zLv5y+gae/O47LWY5ZnR+9MwqLHmiJYDUNX0q8Y7IxXDfaXIX9wklAjqXkwzwHIEDBw2xnMFjLfjrg4JhgUFsoUdAWSioKljmWa2R8tR3BhVQOi50hOdfmaP6TU/BXX8L3UinhEJNf+K+vlaC+RoL6GgGKQjW1vpi8rKIkJyfj5Zdfxi+//AKj0YhGjRphzZo1aN++fbm3SUkBqQjUToEQD3iOyz8RSdA3xnEVKsNUMPvymQwrLuptuJkn4maeGfuumQEAKgmHJoVmX27kL4Xci9mXBzQPw4kXg/DGr2eweG8S1h1Oxi9nUrHogZZ49M56tbYdLCkbm8iQarR7vOqfbiqhd2W+ADmPCLWACLWAcLWACLUEEWoBoSrBNUO4TWTItYjItjDoLaLjZhaRYxGhz1+WXWhZrpWBAci1MuRa7bjmoa+OJ2oJ5zGB0OQv0zmX59+nJKJmYIwhwyTico4NF/UFTX+uGeweR/7hAESoBdTXSgqSAI0EwZU86IMvZWZmokuXLujVqxd++eUXhISEIDExEQEBAb4OjRCqKSDeoSsNxeXZRCRm2Vy1CYmZNpiK1HsLHBCrk7hmXm4aKIP/LWZf/udyJiZuPIrjKTkAgH5NQrDiwXjEBqkqbV9I9SEyhrQ8Mf+Kv83tqv/NPM+FKyc/KZdf6HcU+CPzE4BwtVBh/WEKs4sMudb8ZMGVPDhvzJVUOJflWBxJRFkpJVx+suBIFFxNmookD86bzItEnNwes53hSk5Bx1/n35Jqm/ykXEHTn/zCfz2NxKuLJp4UvTLOGINos9zOLpUbL5F5ncS88sor2LdvH/bs2VOhMVBNAakIlBQQr9BB5dbsIsPlHJvbKEcZHq7ehqsE18zLTQOkiPIrPvuy1S7i/Z3n8faO/2C2iVBJBbx9b1NM7RoLCQ1fWuMxxpBlLmjnXzgBuGG0lzihEuDoAO+84l/0qr9GVr2/GyLLTyLMziQhv+bB4r5Mn19bkWMRS02CSuLoNF08WXD2jXC/z5e7YFoXMMZwM090NftxNv25brB7TPB4zjHDfOHCf4xWggB5xV79L1oItlvNOLzi6Qrbflnc+fQKCFLvmnq2aNEC/fv3x9WrV7Fr1y5ERUXhmWeewcSJE28rBkoKSEWg5kOEVBCB5xCrkyJWJ8WAWMfJNC1PdEyqll+bcCXHjutGx23XVRMAQCPNb3KUnyjE6aSQCjxm9m6MB+Mj8NSmY9h5Ph0z/ncKXx1JxicPtUabKJ2P95Z4I9cqIiXXUeC/bnA0r3G2+S9aq1SYhHd0qowoVOB3JgAVXbiqSjzHuZoLeUNkDEYrK1b74LFWIj+psDPAZGcw5TlmP/eGXIBbp2qdsxO1zD2BcCx3THBVUz+D0uTZRFzJsbsV/i/n2Ip1RnfSyjhH4V8jcTUBivKTQEpJVokuXLiAFStWYPr06Xj11Vdx8OBBTJ06FTKZDGPHjvV1eKSOo5oC4hW60lAxDFbH7MvOUY7OZVlhKVJukfBAnE7qGuWosb8EGxOS8eKPp5CVZ4XAc5jevSHe6tcEKhnl9b5msjFcN9iQYrQjJdeR8KXkOq76F500rzAOQKiKdzX1cRb6I9WONtU0LGjZMcZgtDmbLRVOJsRCTZmYW41EabUyJZHyKNKRunjtQ+H+EkpJ9UoiRObom3KpUNOfyzk23DB6fjMEDqiX38eqcAfgWzWFrEw1tfmQTCZD+/btsX//fteyqVOn4uDBgzhw4EC5Y6CaAlIRqERBSBVSS3m0DZWjbaijqtkmMiRl21ydl//LtCDbwlzNj3644HhelJ8arwxqj18SzmNXYioW7jyPzcdTsHJ4PHo3DvHhHtUNNpHhRtEOvvkJgKcmYoW5Ovj6CYhQSRDhJyBcJSBMJdAV1QrGcRzUUg5qKY8I9a3XZ4whz5lE5DdXKpxAZHtYZhEBqwikm8Rbdu52khROIvJHYNIVadrkqpWQ81BXYBJhsIquDr/OJOBKjh3mEmqqAuS8q9lP/fwmQJFqodp39uY4zusmPL4UERGBFi1auC1r3rw5vvvuOx9FREgBSgpqmN27d2PhwoX4999/kZKSgi1btmDIkCElrr9582asWLECCQkJMJvNaNmyJWbNmoX+/ftXXdCkRBKeQ+MAKRoHSDGooaOQcsNYMPvymQwrrhnsSM61IzkXCK0Xiy4KfyQkXsT5dCP6rvoLw+KjsGxoS4Rpqv8JsTpzdvAt3LnX2dY/1SiW2kFWU6SDryMBcFz5V1RCB19SMTiOg0rKQSXlEe5FEgE4aobcax5K7littzCY7Qw2EcgwibdMIJ0ErnBzJk99I9yXqaWOAnuKwV6s429aCU2opDwQrSlU+M//623TLlI+Xbp0wdmzZ92W/ffff4iJifFRRIQUoKSghjEYDGjdujUmTJiAYcOG3XL93bt3o2/fvnj33Xfh7++PNWvWYPDgwfj777/Rtm3bKoiYlAXHcQhXSxCulqBntGMoVL0lv8lRhhVnMq2Q8AEI8dfgxIWrOJd8A5uPJeOn0zcwqG0chsVHoHmgDE0CpFBJ6eReFGMMmWaxyFj+BR18baWU2RQCl9+pt2BUH2d7fz8qSNUZCgkHhcQxlKs3LPaCfhCFk4WcQglEtqVg2Nc8G4OdAZlmsdgsviXhOcetpO9vsJJ3Nf1xXv0PVwk06ZwPPP/88+jcuTPeffddjBgxAv/88w9Wr16N1atX+zo0QqhPQU3Gcdwtawo8admyJUaOHIk333zT6+dQm8Tqw2JnuJDtqEnY9l86vv7rP2QZHJOehQf6o13TBlAr5IjWuM++XJvH/i4q1yLimqGgg2/hYT1LajYBOJp5hKsE96v++Tf/GtzBl9QcFjsrNAKTiJxb9I0oPPO6XHBc/S9c+K+vkUBdCy8Q1OTJy3788UfMnDkTiYmJiI2NxfTp02n0IVItUE1BHSOKInJychAYGFjqemazGWaz2XVfr9dXdmjESzKBQ7NAGZoFyvBAnBqL+kThjW2JWLz7HK5nZGH7P8fQMjYaYr0wXM6xYcdlR8IQpCg8+7IUMVpJje7MarKJriY+14oM65l7yw6+gsdhPamDL/E1mcAhSCkgSOldTYRNdCQHNhH0/a0hBg0ahEGDBvk6DEKKoaSgjnn//feRm5uLESNGlLrevHnzMHv27CqKitwOhVTAwkHN8PhdUXhy4zHsTcpAwrlLsORmYtTdTWCAHBf1NqSbRBxIMeNAiiPZUwgcmgRI0CRA5hrlqLq1f7faCzr4Fp3M61ZNKwIVhWfwlbia/ISpqn+nSUK8JeE5BCq8SyAIIaQ01HyoBitr86ENGzZg4sSJ+P7779GnT59S1/VUUxAdHU3Vj9WcKDJ88vclvPzTaehNNkh4Di/2isOLPRvjqkF0jWr0X6a12NjjPAc00ObPvpxfm1AVhQ0xf3Ik5zCeKYaCYT1v5t2ig6+McxvH33nVP1wlgUJCBX9Caqua3HyoMlDzIVIRqKagjvj666/xxBNPYOPGjbdMCABALpdDLqfRbGoanucwqVMDDGoRhqlbTmDLieuY9/s5bDqagtUPxePBxsEAHAXxyzm2/EnVHLe0PBEXsm24kG3DLxcdTY5ClXx+giBD00Ap6vkJ5Wqe4Ozg62rbn2vDdaMd13LtSM0rvYOvUsI52vn75Rf8ncN6qgX41cK20oQQQogvUFJQB3z11VeYMGECvv76a9x3332+DodUgSidEt+N64Atx1MwZctxJKYZ0GvFATzesT4W3NccASoZGmilaKCVon8Dx3PS8uyuSdXOZlpxSW9Dap6I1GQz9iQ7ao3UEvfZlxv5SyErNNZ+jkV0G9GnoNlP6R18pa4ZfAtd9c8f1lNHHXwJIYSQSkdJQQ2Tm5uLc+fOue4nJSUhISEBgYGBqF+/PmbOnInk5GR8+eWXABxNhsaOHYuPP/4YHTt2xPXr1wEASqUSOp3OJ/tAqs7QVhHo1SgYr/x0Gqv/uoTP/r6Mn07dwOIhd+DB+Ai3wnawUkCwUkCXSEfVs9EqIjGrYPblxCwrDDaGIzctOHLTMXOowAGxOsdhJMVgh6GUDr48B4QqBdewnhGFhvQMog6ShBBCiE9Rn4IaZufOnejVq1ex5WPHjsXnn3+OcePG4eLFi9i5cycAoGfPnti1a1eJ63uL2iTWfHsupGPSpmM4k5oLALi/ZRiWDm2Fev5Kr55vExku6QvPvmz12Nk3yNXBV+KWAIRSB19CSAWhPgXuqE8BqQiUFBCv0EGldjDb7Hj393OY/0cirHYGjVyCeQOb46lOMeDLWGBnjCE1T0RiphVSHvmTrgmQC1TwJ4RULkoK3FFSQCoCNR+qQpmZmfjss89w+vRpAEDz5s0xYcKEW84ZQEhFkUsEzO7fFCNaR2LixqP461Impmw5jg1HrmL18NZoEa7xelscxyFM5RjikxBCCCE1Gw3dUUV2796N2NhYLF68GJmZmcjMzMSSJUsQGxuL3bt3+zo8Use0DNdgz+QuWDzkDvjJBey/mIm2H+7CrG1nYbbZfR0eIYQQQqoYJQVVZPLkyRgxYgSSkpKwefNmbN68GRcuXMDDDz+MyZMn+zo8UgcJPIcpXWNx8sVeGNwiDFY7w9s7/sOdi3Zjb1K6r8MjhJBap0GDBuA4rtiNygGkOqCkoIqcO3cOL7zwAgShoKmFIAiYPn2622hChFS1aH8lto7vgG8ea4cwjRynU3PRfdl+PP3dMWTnWX0dHiGE1BoHDx5ESkqK67Zjxw4AwEMPPeTjyAihpKDK3Hnnna6+BIWdPn0arVu39kFEhBTgOA4PtY7EqRd7YsJd9QEAqw5cQsuFO7H1RIqPoyOEkNohJCQE4eHhrtuPP/6IuLg49OjRw9ehEUIdjavK1KlT8dxzz+HcuXO4++67AQB//fUXli1bhvnz5+PYsWOudePj430VJqnjAlQyfDqiNR69MwqTNh1DYpoBwz4/hGGtwrF4SCtE6miUD0JI9cMYA0qZILFSCVy5Jli0WCxYt24dpk+fThM0kmqBhiStIjxfeqUMx3FgjIHjONjt1a+jJw1pVvfkWe2Ys+M/vL/zPGwig04hwXuDWuCJu+qXefhSQgipSEWH4GQ2EfYffVOrKQyKACcpe8OLb7/9FqNHj8bly5cRGRl5WzHQkKSkIlBNQRVJSkrydQiElIlSKuDdgc3xcJsoTNx4FAevZOGpTcew/t+rWP1QazQN9fN1iIQQUmN99tlnGDBgwG0nBIRUFEoKqkhMTIyvQyCkXOIjtdj/bFcs2ZuEN349gz1JGWj9wS681qcxXu7VCLJyXCEjhJAKJXAQBkX47LXL6tKlS/jtt9+wefPmSgiIkPKhpKCKfPnll6U+PmbMmCqKhJCyE3gO07o3xNA7wvHM5uP45Uwq3tp2Ft8mXMMnI1rj7pgAX4dICKnDOI4DJDWnWeOaNWsQGhqK++67z9ehEOJCfQqqSECAe6HJarXCaDRCJpNBpVIhIyPDR5F5h9okEifGGL5OuIZpW0/gpsECjgO6NAhEqJ8MwWo5gtUyBKtlCPHL/5t/P1gtg0pG1yEIIbevtDb01Z0oioiNjcWoUaMwf/78Ctkm9SkgFYHO0FUkMzOz2LLExEQ8/fTTePHFF30QESHlw3EcRrWNQr8mIZjxv5P44tBV7E3yLqlVSQW3hKHwLcQvP6FQFTweqJJBoE7NhJBa5LfffsPly5cxYcIEX4dCiBuqKfCxQ4cO4dFHH8WZM2d8HUqp6EoDKcmxa3qcSc1FmsGCmwYz0gwWt9vNXMdfi10s87Y5DghUSt2ShqBCtQ8hfo4kIlgtdyUSaplAw/sRUsvV5JqCykA1BaQiUE2Bj0kkEly7ds3XYRBSbvGRWsRHln6iYYwh12x3JQ3ORMGRSDj/N7slEpl5VjAGpButSDdacfamwat4FBK+SBMmuXsiUaR2IkglhUSgztKEEELqNkoKqsgPP/zgdp8xhpSUFCxduhRdunTxUVSEVA2O46BRSKBRSNAwSO3Vc2x2ERlGa37SYC5IJIyOpCG9SM3EzVwLTDYRJpuIq9kmXM02eR2fv1LqVvsQ5GrGJPeQSMigkUuoNoIQQkitQklBFRkyZIjbfY7jEBISgnvuuQcffPCBb4IipBqTCDxCNXKEauQANLdcnzEGo8VeqOaheNKQ7lYzYUG60QLGgKw8K7LyrEhM8642Qipw+cmCvCCRUBXtYC136zNBQ7cSQgipzigpqCKiWPb21IQQ73EcB7VcArVcggaBKq+eYxcZMvM8N2e6mWtGerEmThYYLHZY7QwpejNS9Gav49MqJO41DvnNmkoaqclfKaXaCEIIIVWGkgJCSJ0l8Fz+MKpyr59jtNiQbrTiZq7ZQyJhKZRIFDwuMkBvskFvsuF8utGr15HwnFtfiJJGayr8uEIqlPetIIQQUsdRUlCJpk+f7vW6ixYtqsRICCEVRSWTQCWTINpf6dX6osiQZbJ66GCdnzR4qKXIMdtgExlu5JhxI8f72gg/ueDWF6J4IuHetClAKQVPQ74SQggBJQWV6siRI273Dx8+DJvNhqZNmwIA/vvvPwiCgHbt2vkiPEJIFeB5DoEqx5wLTUK8e47Jake60eIhkcj/31lLYSx43CY6RnjKNefhYmaed7FxcPWFiNAqEKmVI1yrQKRWgQitHJGF/qeJ5wgpP8YYrHYGqyjCamew2B1/rXbRcRMdj8dHaKjZIPEZOspXoj///NP1/6JFi6DRaPDFF1+4ZjfOzMzE+PHj0a1bN1+F6HPG7NUAeCg1j4DjvbvySkhtp5AKiNIpEaXz7jfBGEO2yVaoU7W5WF+ItFxHEuF8PNtkg8iAm/nrnU7NLfU1dApJfoLgSB4iXP8XJBCUPJC6pmhh32oXYSlW2Hc85g2byCAVKCkgvkGTl1WRqKgobN++HS1btnRbfuLECfTr16/az1VQGZOf2G03kHVtCAArOCEYKt0kyNWDwXFUqCCksllsoqs2IjXXjOs5ZlzLNiElx4wUvcn1/7VsE4xWu9fbdSYPkToFIjSO5MHxvwKROjkiNJQ8kNtX2ZOXMcbcCvSF/1pcSYD3hX3AMRmjlOchFThIhUJ/eQ6y/PsKqQC+HDUFNHkZqQh0VK4ier0eN2/eLLb85s2byMnJ8UFEvscLIfALmgVj1nKI9mQYMt6BSb8BKv9nIVV2oypUQiqRTMK7rvaXhjEGvcmGlBwTrmWbcU1vciQNepMrkbiWfz/PKiLbZEO2KfeWNQ/+SikiNHJE6hy1DeGF/i+oeVBASZ2nSQVijMEmFm2+w1xX9Qsv95bHwn7+fVmhwr+E5+i8Rqo1SgqqyNChQzF+/Hh88MEHuOuuuwAAf//9N1588UUMGzbMx9H5BsfxkKv7Q6bqBVPOd8jTfwq7LQk5adMhkd8Jlf9USOV3+DpMQuo0juOgU0qhU0rRLLTk+SKcyYMjaTC7EoWU/PvORMKZPDjnhvAmeXA2V3ImCoWbK1HyQICCwr6zkO8q3Bdp1mMTRZSlfYSzkC/Lv6LvdoU/f3lZCvt2ux2zZs3CunXrcP36dURGRmLcuHF4/fXXKWEgPkdJQRVZuXIlZsyYgdGjR8NqtQIAJBIJHn/8cSxcuNDH0fkWx8mg1I6C3G8wTPovkJezATbzYehvjINM1Qcq3WQI0mhfh0kIKUXh5KF5mHfJQ9EE4nqRZKJw8nDqhnfJQ0HiULyzNCUPNY8oMqQZLMW+L4a8PAyIYBDTDLDzFljLXNh3Nt3hISvanKdQs56KLqi/9957WLFiBb744gu0bNkShw4dwvjx46HT6TB16tQKfS1Cyor6FFQxg8GA8+fPAwDi4uKgVqt9HJF3qrJNot12A3nZK2E2/AiAARCg8BsOpe4J8EJApb42IaR6cHaeLlzD4CwQpjj7O+T3fTDZvG/qEaCUuiUL4YU6ThdOIGjOh8oligzpRovrMyz8eRZulnY9xwybWLyYEqORYEXfUARHRAMSmWt54QK9o4BfpNCf36zHV1flBw0ahLCwMHz22WeuZQ8++CCUSiXWrVtX7u1SnwJSEaimoIqlpKQgJSUF3bt3h1KpBGOMqgyLECRh8At6CwrNaBizlsBq2g9T7jcwG36EQjsWSs1ocHzFdywjhFQfHMfBXymFvxc1D9kmW37BMj+ByDYjJceRPFzTF3SYNtlEZOZZkelFzUOAUurWRMmZPBSMwETJgyeM5Rf2i/Q/uaY343qRBM9TYd8TjgNC1LKCpE2nQGN/KQJVdtQPUEKtVDqa8DD7Lc6nDGB22GwVs69OEonE6/N4586dsXr1avz3339o0qQJjh49ir1799JcRaRaoKSgiqSnp2PEiBH4888/wXEcEhMT0bBhQzz++OMICAjABx984OsQqx2JrDG0oYthNR2EIfNj2K1nkJe9HKbcjYVGKqITMiF1WeHkoUV46clDVp61SH8Hc36zpYKCa4rePXk4eaP0gSCcyYNrZKX8UZcKRmCqHckDYwwZRmvxZl/Z+f1GXKNXmco0Ik+IWlaog3nxJl+RWgXCNHJIBd7tec4r41qFFAq5BFarFas/+aSid9srTz75JKRSqVfrvvLKK9Dr9WjWrBkEQYDdbsc777yDRx55pJKjJOTWKCmoIs8//zykUikuX76M5s2bu5aPHDkS06dPp6SgFFJFB+jCv4TFuD1/pKJrMGTMhSlng6MzsqIL1bYQQkrFcRwCVDIEqGReJQ/XinSOdnaWTslPHq7pTTCXIXkIVEldw7IW1Dwo3EZgitDKIZdUbfLgLOynFEmMCncSd+6/pQwj8gS7ruzL8xMlhVvyFKlTIMxPDpmEv/XGapFvv/0W69evx4YNG9CyZUskJCRg2rRpiIyMxNixY30dHqnjqE9BFQkPD8e2bdvQunVraDQaHD16FA0bNsSFCxcQHx+P3NzSq7J9rbq0SWTMAlPORuTpPwMT9QAAifxOqP2fg0Te8hbPJoSQilE4eSixmUx+W3lzGfo8BKo8NVty7/fgTfLAGENm4ZoRV/Mqc36fjPLFF6SSlnJlP39WbI2i0gv7RdvQM8Zgq+h2QV4qS/Oh6OhovPLKK5g8ebJr2dy5c7Fu3TqcOXOm3DFQnwJSEaimoIoYDAaoVKpiyzMyMiCXy30QUc3kGKnoEcj9BiMv+3OYcr6GzXwY2TfGQqbqmz9SUT1fh0kIqeUK1zy0vEXNQ1kK5xlGKzKMVpy4fuuah8LJg59cghvOiecK1WR4y7m9wiM1FZ6EzpGgVH1Nhrc4jvO6CY8vGY1G8Lx7wiQIAkTR+8+KkMpCSUEV6datG7788kvMmTMHgOMAJooiFixYgF69evk4upqH57VQB0yFQjMif6Sin2Ax7oDF+CcUmoeg1D4OXvD3dZiEkDqO4zgEqmQI9DJ5KDyTtLOTtKvDdH6B32L3Pnnw1OehaM1DuKbm93moKQYPHox33nkH9evXR8uWLXHkyBEsWrQIEyZM8HVohFDzoapy4sQJ9O7dG3feeSf++OMP3H///Th58iQyMjKwb98+xMXF+TrEUlX36keb5b/8kYoOAAA4Tg2ldhwUmlE0UhEhpNYo2gfAWQORY7YhXOM+tGq4Vl5r52UorblMdZaTk4M33ngDW7ZsQWpqKiIjIzFq1Ci8+eabkMlkt95ACaj5EKkIlBRUoezsbCxZsgTHjh1Dbm4u7rzzTkyePBkRERG+Du2WaspBxWL6G8bMxbBbzwIAeCEUSt1TkKvvo5GKCCGklqipSUFloaSAVARqPlSFdDodXn/9dV+HUavJFB0hDV8Li3Fb/khFKTBkvA1Tzvr8kYo600hFhBBCCCFF1K2xwHxsz549ePTRR9G5c2ckJycDANauXYu9e/f6OLLaheN4yNUD4B+5CSr/aeB4LezW88i5+Rz0qc/AZjnt6xAJIYQQQqoVSgqqyHfffYf+/ftDqVTi8OHDMJvNABxNit59910fR1c7cZwcSu2j8I/cCoXmMQAy2MwHkX39MeSkvQa7LdnXIRJCCCGEVAuUFFSRuXPnYuXKlfjkk0/chk3r0qULDh8+7MPIaj/HSEXPwT/yO8hUAwFwsBi3IevagzBkfgDRnuXrEAkhhBBCfIqSgipy9uxZdO/evdhynU6HrKysqg+oDhIkEdAEvw1d+FpIFR0B2GDK+QpZ14YgT/85mGjydYiEEEIIIT5BSUEVCQ8Px7lz54ot37t3Lxo2bOiDiOouiawZtKHLoAlZCkHaBIzlwpi1FFkpD8KU+yMYs/s6REIIIYSQKkVJQRWZOHEinnvuOfz999/gOA7Xrl3D+vXrMWPGDDz99NO+Dq9Okinvhi58HfyCZoMXwiDab8CQMQvZ1x+FJW8/aLReQgghhNQVNCRpFXnllVcgiiJ69+4No9GI7t27Qy6XY8aMGXj22Wd9HV6d5Rip6D7IVH1gyvkGedn/B7s1ETk3p0IqvwuqgKmQyJr5OkxCCCGEkEpFk5dVMYvFgnPnziE3NxctWrSAn5+fr0PySl2Z/ES0ZyNPvwamnG8AWAEAMtUAqPyfhiCJ9G1whBBCANDkZUXR5GWkIlDzoSomk8mg0WgQERFRYxKCuoQXdFAHTMsfqWgAAMBi/CV/pKIPIdqzfRwhIYQQQkjFo6SgithsNrzxxhvQ6XRo0KABGjRo4Jrh2Gq1+jo8UoQgiYQmeA504esgld8FwApTzvr8kYq+BGNmX4dICCGkBsrJycG0adMQExMDpVKJzp074+DBg74OixBKCqrKs88+i9WrV2PBggU4cuQIjhw5ggULFuCzzz7D1KlTvd7O7t27MXjwYERGRoLjOGzduvWWz9m5cyfuvPNOyOVyNGrUCJ9//nn5d6SOkciaQRO6DJqQJRCkjcBYDoxZi5F17UGYDT+BMdHXIRJCCKlBnnjiCezYsQNr167F8ePH0a9fP/Tp0wfJyTShJvEtSgqqyIYNG/D5559j0qRJiI+PR3x8PCZNmoTPPvsMGzZs8Ho7BoMBrVu3xrJly7xaPykpCffddx969eqFhIQETJs2DU888QS2bdtW3l2pcziOg0zZCbrw9VAHzsofqeg6ctPfyh+p6C9fh0gIIaQGyMvLw3fffYcFCxage/fuaNSoEWbNmoVGjRphxYoVvg6P1HE0+lAVkcvlaNCgQbHlsbGxkMlkXm9nwIABGDBggNfrr1y5ErGxsfjggw8AAM2bN8fevXvx4Ycfon///l5vpzIwxmC01LA5AaT3QhrUE3bjt7AZvoTd+h9ybk4BL7sLEr/J4KVNfR0hIYTUemaLDSJjsIuOG2MMYD6agJJTgOM4r1Y1W6yw2+2QyuSwiwXjvCiUSuzZuxeMMa+3RUhFo6SgikyZMgVz5szBmjVrIJfLAQBmsxnvvPMOpkyZUmmve+DAAfTp08dtWf/+/TFt2rRSn2c2m2E2F7Sb1+v1FR6b0WKH5rVfKny7VSMEAYqn8XyHPXg8/h/ILP/AlP4PNp6Jx/y/euFqjr+vAySEkForRiPBir6hyLuRA0jM4FgeGmCwT2K5iP+BcUqv12/VrgNmvjkLc/2jEBgSim3fb8JfBw6gXoOGEBkgUE5AfISaD1WRI0eO4Mcff0S9evXQp08f9OnTB/Xq1cP//vc/HD16FMOGDXPdKtL169cRFhbmtiwsLAx6vR55eXklPm/evHnQ6XSuW3R0dIXGVRtkmlR4c09/dFo7Bd+dvQM8B4xsfgwHHluKt7psh05e8vtLCCGkbnr7w1VgjGHgXS3QpVEYvlmzGv0eeBA8T0Uy4ltUU1BF/P398eCDD7otq84F7ZkzZ2L69Omu+3q9vsLjVckE5LzjfVOo6m00ROtp2HKWQoF/MaXdAUxpfxIS9VgIquHgOLmvAySEkFrDbDYh5eplNAjTQKFQgDEtwHb7JJbWZWg+BABto9pg8P69MBgM0Ov1iIiIwKiHH0bzxo3AUy0B8SFKCqrI8uXLIYoi1Go1AODixYvYunUrmjdvXqlt+8PDw3Hjxg23ZTdu3IBWq4VSWXJ1p1wudzVzqiwcx0Etr0VfQXkrMPVKWE37YcxaDLv1PGy5SyDmbYTK/xnIVPeC4+hKECGE3C6BScBzHATecQM4ACpfh1UmWo0ftBo/ZGZmYvv2bViwYAH1JyA+RSWUKvLAAw9g7dq1AICsrCzcfffd+OCDDzBkyJBKHXGgU6dO+P33392W7dixA506daq016zLHCMVdYEufAPUgW+CF0LzRyp6E9nXH4PF9LevQySEEOJD27Ztw6+//oqkpCTs2LEDvXr1QrNmzTB+/Hhfh0bqOEoKqsjhw4fRrVs3AMCmTZsQFhaGS5cu4csvv8TixYu93k5ubi4SEhKQkJAAwDHkaEJCAi5fvgzA0exnzJgxrvWfeuopXLhwAS+99BLOnDmD5cuX49tvv8Xzzz9fcTt3G5hNBDPafB1GheM4AQq/++EfsRkq3RRwnBp261nkpE6GPvVZ2Cz/+TpEQgghPpCdnY3JkyejWbNmGDNmDLp27Ypt27ZBKpX6OjRSx9WithvVm9FohEajAQBs374dw4YNA8/zuPvuu3Hp0iWvt3Po0CH06tXLdd/Z7n/s2LH4/PPPkZKS4koQAMeQpz/99BOef/55fPzxx6hXrx4+/fRTnw9HCjgSAvGvdDCDHULXYHDq2vd15HgFlLpxkPsNQZ7+M5hyNsJqOoDs639Brh4Ipe5pCJJwX4dJCCGkiowYMQIjRozwdRiEFFP7SmHVVKNGjbB161YMHToU27Ztc12pT01NhVar9Xo7PXv2dIzHXAJPsxX37NkTR44cKXPMlc7GwEwikGeHfV+aIzFQ1c6vJC/4Qx3wAhR+I2HMXgaLcQfMhp9gNuyAQvMwlLrx4HmNr8MkhBBCSB1VO0tg1dCbb76J0aNH4/nnn0fv3r1dbfq3b9+Otm3b+jg63+AUAoQuwbDvvQkY7LDvrd2JAQAI0nrQBM+DzfwoDFkfw2Y+DFPOlzAbvodSOx4KzQhwnPeT2RFSHlarFQaDAUaj0fVXIpFAJpO53eRyOWQyGaRSKXWAJISQWo5jpV12JhXq+vXrSElJQevWrV3jEf/zzz/QarVo1qyZj6MrnV6vh06nQ3Z2dplqNrzB8uyuxAAqAUK3EHBKoUJfozpijMFq2pc/UtEFAAAvROaPVNSPRioiZSaKoqugX9qt8MSE3vKULHi6eXpMLpdDKpVCEGr/75pUDZPJhKSkJMTGxkKhUPg6HJ8r7f2ozPM3qV0oKSBeqeyDCjPaYN+bBhjtgFqA0LVuJAYAwJgNZsOPMGavArPfBAAI0mZQBzwHqaKDj6Mj1QFjDCaT6ZaFfaPR6PU2JRIJ1Go11Go1lEol7HY7LBZLsZsoihW2HyXVRkil0lKTicKPSSQSqrUglBQUQUkBqQi1t50GqVE4lQRC12BHYmBw1BzUlcSA4yRQ+A2BXHUv8nI2wKT/AnbrGehTn4ZU0Rkq/6mQyBr5OkxSSSwWi+vqfm5ubrFCvnOZt4VzjuNchf3SbjKZ7JaFa8YYbDabx2TBbDZ7XO7pMZvNMcKYzWaDzWYrU/JSFM/zrkShtGSitJoMqVRKs8cSQkgRlBSQaqNYYuDsfKyo/YkB4BipSKWbAIXfUORlfwpT7iZYTfuRff0A5OpBUOom0UhFNYjdbveqKY/FYvF6mwqFwmMB38/PD2q1GiqVCkqlssIKvBzHQSqVQiqVuiZeLA+73Q6r1VrmZKLojTEGURRhNpvL1QSqMKlUeltNopy1FoQQUlvQEY1UK5xKkt/5OA3ItRV0Pq4jiQEA8EIA1IEvQqF5OH+kot9gNvwPZuN2KDSjoNSOpZGKfIgxhry8vFsW9vPy8rzeprPQfatbTW2TLwgCBEG4rWYejDFXYlHeGguLxQK73Q7A0dna2eG6vHieL1cyQZ24CSHVESUFpNrh1IVqDHJtjhqDLnUrMQAAQRoNTfB8WM0nYMz6GDbzEZj0n8OcuwVK7eNQaIbTSEUVzGKxuJrxFG7SU7gZj9Fo9LopD8/zXjflIaXjOM5VoL4dzr4TnhIGs9kMq9V6y8esVisAR8fuvLy8MiWAnlAnbkJIdUBJAamW3BKDHFtBUyJ53TvxSeV3QBu6Gta8PTBmLYHdlgRj1iKYcr7JH6moL41UdAt2u/2WV/YNBoOrsOcNpVLpsRmPSqVy/a9QKOgqcDUjCAKUSiWUSmW5tyGKolutRXmbRDmTS+f921G447izKVnR76dKpaIElBBSIkoKSLXFqSUF8xjkFKoxqIOJAcdxkKm6Q6rsDLPhfzBmr4JoT0Zu+msQctZD7T8VUkV7X4dZ5ZxXam9V2DeZTF5vUyaT3fLKvkqloiuzdZiz2ZBcLi/3NiqjE3d2djays7NLfV1PTdWKJhAqlQpSqbTc+0YIqZkoKSDVGucngdA1xJEY6Ot2YgA4Ryoamj9S0Xrk6b+E3XIK+tSnIFV0gcr/2VoxUhFjzNWUx3nz1KTHYDCUOsN3YYIgeFXYpyuppCpUdCduk8nksWN74d+MzWaD1WpFVlYWsrKySt2uXC73mCwUvU+drctu9+7dWLhwIf7991+kpKRgy5YtGDJkiOtxxhjeeustfPLJJ8jKykKXLl2wYsUKNG7c2HdBkzqBfs2k2uP88msM9qUVJAZdg8HJ6mZiAAAcr4RK9wQUfsNgzP4E5tzNsJr2FRqp6CkIklBfh+mRzWbzqimP8wrorXAcV6wpT9FmPGq1GnK5nJrykFqncCduf3//Utd1JtoljYrlXG6z2VwjPGVmZpa6Tblc7lWzJapZK2AwGNC6dWtMmDABw4YNK/b4ggULsHjxYnzxxReIjY3FG2+8gf79++PUqVM0JwOpVDR5GfFKZU1+kpiY6NZpk+M4t4Kb232THeLpHHBWBqglEJprwUl51+Ol/S1xm0Xul3W98vytqNcozG69BGPWMljy/sjfkBxKzWgotGPB837F1q8MzqY8Rcfav53ZdIsWOEq6uk9jzhNSMYrW0hVNIArfd47k5I2ShtMtnEQolUqvk4faMnkZx3FuNQWMMURGRuKFF17AjBkzAADZ2dkICwvD559/jocfftjjdmjyMlIRqKaA+NTOnTvL18EuA8CVCg+nRimeLDREoL8arZv9g+DAG8jTr0FW2gacOd8OF660gPPnXhkJi8lkQl5eXpmb8jiv4pd0o6YJhFQtjuNc/SUCAwNLXI8xBrPZXGLNQ+FloijCZDLBZDIhPT291NcvWuvnqebBUydxxhjM3ucoFUoueL5YUx5JSUm4fv06+vTp41qm0+nQsWNHHDhwoMSkgJCKQGdc4lP16tVzjfjiLFDe8q9NBMuxgokMEDjATwIG93Wc/5d0vyL/evuaFa1oLABwMz0Yv+0bgKiwy2jd4l9o/bLRuvl+xNU/jqOn2+FKSgMAldeEhuM4t5N40WY8zv+pKQ8hNRvHcVAoFFAoFAgKCipxPcYYTCZTiTUPzmXOoX6dQ7ympaWV+tr+/v5o0qQJ9Hq9Y84JxuHpPeWfKft2fNE/BIoKKk1dv34dABAWFua2PCwszPUYIZWFkgLiUwMGDCjX85je6hiu1CIC/lIInYPByap/ExJvkomKSlBE0QbR8jOY+Qv4qTPRpf1OgG8KyCcCfCuP2yhvLM4ReypyNl1CSM3n7POjVCoRHBxc4npFJwUsqdmS0Wh0rescGhaAz2oJCKlNKCkgNRKnlRZ0Ps6ywn4gzZEYSKt3gbS0fgGV41EwcZhrpCKIZ4G8GZAqukHlPwUSWVwVxUEIISVz1jKqVCqEhISUuJ6zNiErKwsZGRlQq9WQSqWQ22xYfLcIUXTeylZDy/MceJ6HIAjgeb7IzbGsaJNKp4ocDC88PBwAcOPGDURERLiW37hxA23atKm4FyLEA0oKSI3F6aQF8xhkWmHfXzMSg6rG8SqodBMLjVS0BVbTHmRf3we5+n6odJPAS0o+CRNCSHXhnCVcEATo9XpXEyYA0BVajzFWKEFw3Ox2e7FlBQNdMIDZAZsdIoCS5iz3lDiYiiwrKXnwRmxsLMLDw/H777+7kgC9Xo+///4bTz/9dLm2SYi3KCkgNZorMdiX5kgMDqRD6BREiYEHvBAEv8BXoNQ8nD9S0Z8wG7bCbPwFSs0jUGjHVNlIRYQQUpk4jnMN11qaosmDp8TBbre7mkq6JxIlv3bx2oaCxMFoNOLChQuuxCEpKQkJCQkIDAxE/fr1MW3aNMydOxeNGzd2DUkaGRnpNpcBIZWBkgJS43H+soLEIMNCicEtCNIG0IQshNWcAGPmYtgsx5Cn/z+YcjdDmV+jwHE0mykhpPYra/JQUm2Dc7mzT5bdbi9xyNZ9+/a5zU8wffp0AMDo0aOxdu1avPTSSzAYDHjyySeRlZWFrl274tdff63RQ6+SmoHmKSBeqQnjHLMsiyMxsDIgSOZIDCSUGJSGMQZL3k4Ys5ZAtF0GAPCSaKj8J0Om7E0jBBFCqqXqOk+BMyEoLXFwJg+eBAcHl2uwBpqngFQEqikgtQbnL4PQOb/GIL1QjQElBiXiOA5yVS/IlN1gzt0KY/ZqiLYryE17BRLZHVD5Pwepoq2vwySEkBqB4ziv5lfxlDSIokgXYohPUWmJ1CpcgKMpESQckG6B+Fc6mK309p8E4DgJFJrhCIjcAqV2IsApYLOcgD51IvQ3p8NmTfJ1iIQQUmvwPA+JRAKZTAaFQgGVSgU/Pz9KCohPUVJAah0uwFFjAAkHlmaB+FcGJQZe4ng1VP6TEBC5FXK/YQAEWPN2IztlJHIz3oFoL3lCIUIIIYTUXJQUkFqJC3T0KXAkBmaIf2eA2an7jLd4IRh+ga/CP+IbSJU9AYgw525B5rUhMGatBBMNvg6REEIIIRWIkgJSa3FBckdiIHBgN82OpkSUGJSJIG0Abcj70IZ+ComsFcBMyNN/isxrQ2DK2QjGbL4OkRBCCCEVgJICUqsVSwz+psSgPKSKNtCG/R/8gt8DL4kGEzNhyHwPWSkjYDb+XuJIGoQQQgipGWj0IVLrccGOxMB+IB0s1Qzxn3TwdwWBE6hDV1k4RirqDZmyB8y5m2HM/gSi7TJy014Gx+vAS6IgCBHgJZEQJJHgJRGuZRxffYYMJIQQQkhxlBSQOoELloO/O8jRhOgGJQa3wzFS0QjI1ANh0q9DXs46MDEbdks27Djl+Tl8YKFEIRKCEFkoeQgHx8mreC8IIYQQUhglBaTO4EPkwN1BEA+kORKDgxng7woEx1NiUB487weV/1NQasfCbrsK0ZYMuy0Fov0a7LZrEG0pEG3JYMwAJmbAZskALCc8bosTgoskCo4EQhCiwEvCaIZlQgghpJJRUkDqFFdi8Fc62HUTxH8oMbhdHK+ERNYYkDUu9hhjDIzlQLQ5E4Vr+f8XJA9geWD2NNjsaYDlmKdXAC+EOhIFIQKCJMqRMDiTByEUHEeHMkIIIeR20JmU1Dl8qMI9MTiYAb4DJQaVgeM4cJwWvEwLiaxZsccZY2BitqOWwZ5SJHlIgd1+DWBmiPYbEO03ABzx8CqCK2lwJgrOvg2OpCEEHCdU+r4SQog3du/ejYULF+Lff/9FSkoKtmzZgiFDhrge37x5M1auXIl///0XGRkZOHLkCNq0aeOzeEndQUkBqZP4UAXQMcgxGlGKCeKhDPDtKTGoahzHgRP8wQv+kKBlsccdSUNGkUQh2fE3/z5ghWhPgWhPgc38r4dXEcBLwvObIrl3hBaEKHBCEDiOBmIjhFQNg8GA1q1bY8KECRg2bJjHx7t27YoRI0Zg4sSJPoiQ1FWUFJA6iw8rlBhcM0E8lAm+fQAlBtWII2kIAi8EAfJWxR5nTASzpxdJFAonD9cB2CHakiHakgGzp1eROZIGt34MBckDxweC4+g7QQipGAMGDMCAAQNKfPyxxx4DAFy8eLGKIiLEgZICUqfxYQrgLmdikAfxX4BvR4lBTcFxPDhJCHhJCCBvU+xxxuwQ7TcL+jIUbaJkvwHAAtF2GaLtcgkvIndrjuTeRCkKHK+jpIEQH2OMwWix++S1VTKBjgGkVqCkgNR5fLgCuCsQ4j8ZYMl5EEGJQW3BcQIESfj/t3fvUXKUBd74v89TVX2b+y0zk+sECCRySYCQGMIqvESCunER3VVkNSvu+nMFRbKrooDo+mLQHFleLgvqWZY9R11Qj6yICuQNF19WCCQQJOROMpmQZHKZW/f0taqe5/dHVfd0z3SSTjIzPZfv55w+XV1V3f10TVJd335uMMwWABcN2a61A+UezgsKB+E6+73mSM4BKPcwoNNwnXa4Tvsx3iQMw2yFNKZ594PCgxBVvGAgGmGJjIuq2/5QlveO3fVBVAR5OUXjH/8VEwGQreHCYCD8YMCLuQlNCBOGfwFfbNBTrW0o51CueVJ+LYPrHoB2jwI6CdfeDdfeDbvoe1RA5o+YZEwtCA9SVo70xyQiIjohhgIin2wNA5fUQ73WDf2uHwwuYjCYzISwYFjTYVjTi27XOg3ldBYEhVyfBucAtOqG1nG49g649o7ioUFWDwkKRm741akQMjKyH5JoAogEDMTuOnY7/ZF+b6KJgKGAKI+cmhcM9iWhICAvqmUwoKKECMKwZsGwZhXdrlXK78dQ2BE6u06rPmgVhauicO1txd9D1g4KCnkdoY1WCBkayY9INC4IIdiEh+g08X8Q0SByahhYWA+1oRt6X8KrMbiQwYBOnpAhmHI2YM0uul2ruDeRW5FaBuUcgNYxaNULN9MLN7PlGO/RkBs5aSA8ZGseWiFEYCQ/IhGdpP7+fuzatSv3eM+ePdi0aRPq6+sxc+ZMdHd3o6OjAwcOHAAAbN++HQDQ0tKClpaWspSZJgeGAqIi5LQwgDqoDT3QHX4wWMBgQMNLyAqYgbOAwFlFtysVGxIUvPBw0A8NcWjVBSfTBWTeKv4eRtOQvgzZx9Js4WzQRKNsw4YNuOKKK3KPV61aBQBYuXIlHn30UTz55JP47Gc/m9v+yU9+EgBw55134tvf/vaolpUmF6G11uUuBI190WgUNTU16OvrQ3V1dbmLM2rUuwmoDT0AADErwmBAY4Y3sVsUyh00cpJzMLcOOnWCV5GQRpNfo1ABIYKACEHIIIQIQYgQIIIQIniM5ZDXfClvvfcaQYYNGlGpVAp79uzB7NmzEQqxCd3xjsdk/f6mk8ezNtFxyOkRQANqYw/0Xr/GYD6DAZWfN7FbDaRRAzMwb8h2LzT0DoyYlBcesv0aoNNQ7iF/vobhZg6EDD9oYEhwGLzsP5YhP2Rknx8sfK1sMJH+egT4f5KI6DQxFBCdgJzhjf6iNvZAtyeghIC8gBNW0djmhYY6SKMOZvDcIdu1VtCq2+/T0AmtE4BOQ+sUtE5D6zSgssspIH993rK3Lbs+f8poB1o7gI5DA8CIzislitdiFNRoHCtkZJ8zsH5w7UfhfkEIIUfywxARlQVDAVEJ5Ay/xuD1Hug9cW+CMwYDGseEkBBGI6TRCATPH5bX1FoBOpMLFsWDRCovbBSGioHlVOF6VbhP9vUAlX1n//VT0Ogbls9yfFZBTcXgIFK0JkQOrRXJ32dw061sEPFqXHieIaKRx1BAVCI5MwJoDfVGrxcMBCDPZzAgyhJCehezGPk23l53OCcvcKSgVbqgtiM/YAwJKSpdZH3qmLUlQCbv3W1obQNuDCPfKU8W1mLk9+2Q+cEiDGHUQ8p6SMO7CZm9r4EQHEufiI6PoWCcevDBB7FmzRp0dnZi/vz5uP/++7Fo0aJj7n/vvffioYceQkdHBxobG/Hxj38cq1evZgetkyRnVQCAFwx2+8HgPAYDotHm/Z+zIIQFYORnhdba9WtBTtCcSqWKhIxByypVJLAUhpmBWhAF6AS0TpxGAJHefBeDwoKU9V6QGLTMYWyJJieGgnHo8ccfx6pVq/Dwww9j8eLFuPfee7F8+XJs374dU6ZMGbL/z3/+c9x666145JFHcOmll2LHjh34u7/7OwghcM8995ThE4xvclaF15RoUy/0O3FvgrPzqhkMiCYwIQxAhCEQHvH38mpB7MKwULQJVV6wUHFotwdKdUO53dC5+z4Afv8R1Q232LTagwhRWTQsFFv2Rq3iuY9oImAoGIfuuece/MM//ENuHOOHH34Yv/vd7/DII4/g1ltvHbL/n/70JyxduhSf+tSnAABtbW247rrrsH79+lEt90Qi2/wag0290O/0ezUG5zIYENHp884jAf8X+6rTei2tHW8UKrcwLBxr2WuS1Q/t9EM5HSUUNggp6wY1XWqAkHWDaiYaIGQ1mzERjWEMBeNMJpPBxo0b8Y1vfCO3TkqJZcuW4eWXXy76nEsvvRQ//elP8eqrr2LRokXYvXs3fv/73+PTn/70Md8nnU4jnR4YSSQajQ7fh5ggZFuF18fgzT7oXX4weA+DARGNHUKYAx3KT0Br7c2i7QcFpbrzlrug3B7vcTZA+CNWKbcTcDtLGGBK+mGhzg8LDXnLQwMFmzERjS6GgnHm6NGjcF0Xzc3NBeubm5uxbdu2os/51Kc+haNHj+Kyyy6D1hqO4+ALX/gCvvnNbx7zfVavXo3vfOc7w1r2iUjOrvSaEv25D3qnHwzmMRgQ0fgjhIAQ1YCshmG1nXB/rVIDzZVyYaHLb8bkh4jsulwzpi64qqvEZkxV/rC6DX5thB8iZD0yThO0roVWGWhtAZA87xKdJoaCSeCFF17A9773Pfzbv/0bFi9ejF27duHmm2/Gd7/7Xdxxxx1Fn/ONb3wjN/U64NUUzJgxY7SKPK7IM/xg8FYf9I5+r4/BvCp+QRHRhCZkCIacCsOcesJ9hzZj8kKDFxh6/PUDy14zphi0EyvajCnjNEO5/wTXMeBmJCAkAAMQJgRMQBjwhnP17r313nbA4PmZqAiGgnGmsbERhmHg0KHCGUgPHTqElpaWos+544478OlPfxp///d/DwA4//zzEY/H8fnPfx633XYbpBw6EU8wGEQwGBz+DzBByTP9YLC5D3pHDEoAxjxOJ09EBJxOM6YuKNUzqAaiGyql/Qt+//tLK3gjNdkFozQVH7FJFA8NxwwQwztZ3R//+EesWbMGGzduxMGDB/HEE0/gmmuuAQDYto3bb78dv//977F7927U1NRg2bJluPvuuzF16onDF9HpYCgYZwKBAC6++GKsW7cudxJRSmHdunW46aabij4nkUgMufA3DK+zlzfKBQ0HeZY3LKLa3Ae93QsGci6DARHRySilGVMqlcLR/j0wA7NhBALwahZcQDvIzaYN77HGwHpoF95kd9n9Bl7zmN+GwkDxWgizyPoTN2OKx+OYP38+brjhBlx77bUF2xKJBF5//XXccccdmD9/Pnp6enDzzTfjIx/5CDZs2HCiQ0d0WhgKxqFVq1Zh5cqVWLhwIRYtWoR7770X8Xg8NxrRZz7zGUybNg2rV68GAKxYsQL33HMPLrzwwlzzoTvuuAMrVqzIhQMaHvKsSq/z8dtRqG0xQADyHAYDIqKR4v2SH0ApLYKyk95Bu9Bw/HDg+iHCXz8kQLjwAkbmxLUQJTRjunr5Fbj66g94+w1SU1ODtWvXFqx74IEHsGjRInR0dGDmzJkn/pBEp4ihYBz6xCc+gSNHjuBb3/oWOjs7sWDBAjz99NO5zscdHR0FNQO33347hBC4/fbbsX//fjQ1NWHFihW46667yvURJjQ5xxtCUL0dhdoaA4SAPPv0hhUkIqJj01pDO4mTfJY3AR5gIT9PZMOFhoYXBrIBwkWuRiJXC+FAGAEI4XpNmE62GRMA1+6Ea+8FYEKazX4NxIC+vj4IIVBbW3uSn4/o5AjN9iNUgmg0ipqaGvT19aG6mr98l0LtiEFt8YZyle+pZjAgIhomqVQKe/bswezZsxEKhaDsOPY+WFeWssy6sQfSqoDWCrmmS7kAkd+MaWC9dw9YoXPxq1/ch7/6yJUAACNwTsFcDqlUCkuXLsXcuXPxs5/97JhlGHw88vH7m0rFmgKiESLPrvI6H2+NeuFADNQiEBHRxDLQjOnE8yvkmjEBXgdscyoAF7mO0/A6Hf/N3/wNtNZ46KGHRqTMRPkYCohGkDynyutjsC0G9bYfDM5iMCAiGk7CjGDWjT1le++Tfo7INl0CpAxDGrUF27OBYO/evXjuuef4Cz+NCoYCohEm51ZDa3gjEm2OAhC5kYqIiOj0CSEgrIpyF2NYZAPBzp078fzzz6OhoaHcRaJJgqGAaBTIuVVQyAaDPq/G4EwGAyKiyaa/vx+7du3KPd6zZw82bdqE+vp6tLa24uMf/zhef/11PPXUU3BdF52dnQCA+vp6BAInbppEdKoYCohGgRDCCwZae7Mev+UHgzMYDIiIJpMNGzbgiiuuyD1etWoVAGDlypX49re/jSeffBIAsGDBgoLnPf/887j88stHq5g0CTEUEI0SIQTkvGooDeid/VB/7gPAYEBENJlcfvnlx504lINCUrkM79zdRHRcQgjI91RDZGc//nMf1J54mUtFREREkx1DAdEoE0JAnpsXDN7shWpnMCAiIqLyYSggKoNcMDjTGy1DbWIwICIiovJhKCAqEyEE5Hk1EGfkBYO9DAZEREQ0+hgKiMpICAF5fg3EbD8YvNEL1cFgQERERKOLoYCozIQQkBfkBYPXe6E6EmUuFRHR2MeRejw8DjQcGAqIxoBcMGjLBoMeqH0MBkRExViWBQBIJHieBAaOQ/a4EJ0KzlNANEYIISDn10BBQ7cnoDb2eBOcTY+Uu2hERGOKYRiora3F4cOHAQCRSARCiDKXavRprZFIJHD48GHU1tbCMIxyF4nGMYYCojHECwa13gRnexNQG3oAMBgQEQ3W0tICALlgMJnV1tbmjgfRqWIoIBpjhBCQC/xg0JGtMRCQ08LlLhoR0ZghhEBrayumTJkC27bLXZyysSyLNQQ0LBgKiMYgIQTkhX4w2JeA2tANoJ7BgIhoEMMweFFMNAzY0ZhojBJCQF5UCzEjDGhAbeiGOpAsd7GIiIhoAmIoIBrDvGBQBzHdDwavdUMdZDAgIiKi4cVQQDTGCSEgL84LBq8yGBAREdHwYiigsup99fuIvvkQ7L7d5S7KmJarMZiWFww6U+UuFhEREU0Q7GhMZaPdDHo3/AA6EwMAWHVzEJ61HOG25QhNfx+kyU61+YT0agyUBvSBJNSrXcDiBsjmULmLRkREROOc0Jwbm0oQjUZRU1ODvr4+VFdXD8trqkw/om8+hGT7M0gd/BOgnNw2YYQQmnE5wrOuQqRtOay6OcPynhOBVhpqQzf0gRQgAclgQERExzAS3980MTEUUElG+qSi0n1I7nsOifZnkGx/Bm7//oLtZs2ZiLQtR7jtKoSmXw5pTe7JvLTSUK91Qx/0g8F7GyCnMBgQEVEhhgIqFUMBlWQ0Typaa9hdb+cCQurA/wBqYGIaYQQRmvY+hP2QYNWdMzmnt1ca6tVu6E4GAyIiKo6hgErFUEAlKedJRWViSO57Hsn2Z5BofwZurKNgu1ndhnDbckTalnu1CIHKUS1fOQ0JBksaIZuC5S4WERGNEQwFVCqGAirJWDmpaK1h92zLBYTU/v8HuJmBHYwAQlMv85saLYdVP2/C1yJoV0O92gV9KA0YwqsxYDAgIiKMne9vGvsYCqgkY/WkojL9SL37AhLtzyLZ/gyc6J6C7UbVTERmXeU1NZr5vyADVWUq6cgaHAyMJQ0QjQwGREST3Vj9/qaxh6GASjIeTipeLcIOJNufQXLvs0i9+yK0mx7YQVoITV2KcJs/olHDeROqFkG7Gmp9F/RhBgMiIvKMh+9vGhsYCqgk4/GkouwEUu++mGtq5PS9U7DdqJzuBYRZVyE880rIYE2ZSjp8hgSDSxsgGhgMiIgmq/H4/U3lwVBAJRmpk8rhX90GEaxAxTnvQ2j2JZDWyF3A2r27BkY02vcCtJs3I7A0EWpd4o9otByBxgvGbS2CdjXUK13QR9KA6dcYMBgQEU1KDAVUKoYCKslInFS0Y+PN/68WASfhrbBCiJy1BBXnvB+Rue9H+MzFkIGRmdVYOUmk3v1/flOjp2H37CzYblS05iZOC81cBiNUOyLlGCnaUVCvdEMf9YPBpY0Q9YFyF4uIiEYZQwGViqGASjISJ5V0qh+v/p//DUNrGPEogtF3YEbfgFRHAQDasBCcfQmq512ByNz3IzLnUshgxbC892B2324k259Fov1prxYhG1QAQBgItr4XkbarEG67GoGm+RBCjkg5hpMXDLqgj2YYDIiIJimGAioVQwGVZCROKv2xfmx95CuAUAMrtQGVqQaSNgL9B2FGN0Mmd0BAQUkDmH4BGs69EpXzrkDk7MtghEdgdmUnhfT+l5DY+yyS7U/D7t5WsN2INCM86wNeU6NZH4ARqh/2MgwX7Si4L3cBXX4wWNoIUcdgQEQ0WTAUUKkYCqgkI3FSUa6D7m1vonfXVsQP7UEmtR9AZsh+2g0BKQtmvAdGbDeM6CZIFYcSEqmWc1A993K0nH8VKs55H4zK4b9At/vakfQDQnLf89B2fGCjkAi2LPImT5u1HIHmi8ZcLQKDARHR5MVQQKViKKCSjMZJRWuFxKH96N66BbF3dyLZ1wHldgFi0D9RLaDtMIxEGkb/QRjRtyCTHdAQiDXOhjHnUsyc/0E0nrsMZvWU4S2jm0HqwP/4Ixo9DbtrS8F2GW5CeNYHvMnTZn0ARrhxWN//VBUEA8sPBrUMBkREEx1DAZWKoYBKUq6TipNKomf7NvS+sw2Jw3uQSR0AZGLIflqZkCkJGe+FEdsFI/o2pJtCV+00pGdfgqZzl+Gciz6CUMOM4S1fbJ8/cdrTSO57DjoTy9sqEGxe6I9odDWCzRdDSGNY3/9kaNsPBt0MBkREkwVDAZWKoYBKMpZOKv37D6J7y2bE9u9CKroPSh8BhDt0x4wFmUxB9u+HGd0CmejEkcpG9M5YgMjc9+PsC1dg1szzh23oUa8W4WUk93rDnmaOvlWwXYYaEJ61zG9qdBWMyPDWYpRURlvB/dNRoMf2gsFlTRA11qiXg4iIRsdY+v6msY2hgEoylk8qTiKF7re3o3f3diSO7oGdOQAYsaE7KgGRBmS8G0ZsJ4zYHhw2LRxoPRfirCWYfsEHceE5l6J6mIZBdfr3I7l3rTei0d51UJm+gu2B5ou9idParkawZdGo1SIUBIOA9GoMGAyIiCaksfz9TWMLQwGVZDydVLSrENt7CD3btyL27k6kYu9CyyOAHNqJGY6ETCQh+/fBiO1El53ErqbZSLQtRP17rsQFc/8C59a1wDzNC3bt2kh3rkei/Wkk259F5simgu0yWIfwzCsRbrsa4barYFa0nNb7nbA8GT8Y9PrB4LJGiGoGAyKiiWY8fX9TeTEUUEnG80lFa410TwK923ajb892JLra4dgHAbO3SCdmQKQVZLwLRmwXYukevBGpQ9f08xE6+304+5y/wOLmNkyrqDmtMjnxg0i2r/X6InT8X6h0b8H2QNMCr5lR23IEW98LIc3Ter9iGAyIiCa+8fz9TaOLoYBKMtFOKm7KQXT3EfTu3Ib+A+8g3f8utHkEMJJFdgZkIg7Zvw+pZCc2mQFsa5wNdeZ7MfPspVjUPBsXN0xHpRU8pbJo5SDd+RqS7U8j0f4MModfL9guAzUIzboSkbarEZ71AZiV007pfYq+d0bB/Z+jQJ8NBP2mRAwGREQTxkT7/qaRw1BAJZnoJxXtKiQ6+9G3owN97duR7N4LVx8CrO6inZhF2oGMH4EdfxfbpcBLkTp0z5iPpjlLsLD5DCxumol5Nc0w5MnPWeDGDyHRsRbJ9meQ3LsWKtVdsD3QeH5uRKNQ6xII4/Qu4ocEg8saIaoYDIiIJoKJ/v1Nw4ehgEoy2U4qWmtkelOI7e5G3zs70X9wtze5mnUUMIt1YtYQyX7o/gNoRwYvByrwWv1MVMxeiItazsKipplY3DQTrZGTO3ZauUgf2uAFhPZnkD60AcDAf1kRqEJ4xv9CuO1qRNqWw6yafmqfN+PCfakLiDIYEBFNJJPt+5tOHUMBlYQnFa/JUf/ePkR3H0B07y4ke/d6HZgDXcU7MdsOED+CTrcfm4wA1lY2oLN1Hha0nInFjTOxqGkmLm6cjohZ+lwBbuIIkh1rvbkR9j4LlTxasN1qONebOK1tOUJTl0IYpb+2TrtejUHUAUJ+MKhkMCAiGs/4/U2lYigYpx588EGsWbMGnZ2dmD9/Pu6//34sWrTomPv39vbitttuw69//Wt0d3dj1qxZuPfee/GhD32opPfjSWUo7SokDvYj1t6N2O696O98B457CAgcPUYnZg2k+tGT6cVWIfFiuAbPVbfizCmzsKhpZq42YW7NFEhx4mZHWitkDr3ujWi091mkO18FtMptF1YlwjOu8JsaLYdVPevErzkkGDRBVA5/J2ciIhod/P6mUjEUjEOPP/44PvOZz+Dhhx/G4sWLce+99+KXv/wltm/fjilThk6IlclksHTpUkyZMgXf/OY3MW3aNOzduxe1tbWYP39+Se/Jk8qJaa2R6Umhf28vYnuOILrvHWRi70JbR72gULQTs4NEqg+74eKVQAS/r5qC/kgtLmmcURAUmsNVJ3x/N9mFZMf/RbL9GST2PguVOFyw3aqf6zUzmnUVQtP+AsIs3jFap124Lx0FYg4QNrwagwoGAyKi8Yjf31QqhoJxaPHixbjkkkvwwAMPAACUUpgxYwa+9KUv4dZbbx2y/8MPP4w1a9Zg27ZtsKxTaw7Ck8qpcZI24h1R9O/tRXTPu0gc3g1l+CHhGJ2Y7UwCB9w0NpkBPFtRj02BCKZX1WNRoxcQFjXNxEUN0xE2j/231Fohc+TN3IhG6YOvFNYimBGEZlzujWjUdhWsmjMKn5/yawwYDIiIxjV+f1OpGArGmUwmg0gkgl/96le45pprcutXrlyJ3t5e/OY3vxnynA996EOor69HJBLBb37zGzQ1NeFTn/oUvv71r8Mwik/KlU6nkU6nc4+j0ShmzJjBk8pp0q5C4kC/V5vQ3o1Yxztw3cMDtQlFOjFrpdDtJHJNjl4JVqDHMHFBfatXm9A4E4ubZuHsmsZjNjtyUz1IdaxDov0ZJPc+Czd+sGC7VTcH4VlXe30Rpr8P0gx5weClo0A/gwER0XjFUECl4jf8OHP06FG4rovm5uaC9c3Nzdi2bVvR5+zevRvPPfccrr/+evz+97/Hrl278MUvfhG2bePOO+8s+pzVq1fjO9/5zrCXf7IThkTFjGpUzKhG82UzofV8r8lRey/69/YhtvtdpGIHoK0ub6SjQBeEzKAhUInLAFzm2IDTi5RrY3f3u1i/bwvuC0SwzTARCkawsHFGrjZhcdNMNIUqAQBGqA4VZ38cFWd/3GvmdORNf8jTZ5E68CfYPTth9+xEdNP9EGYYoenv9yZPO385xFtVQL8D96WjMP6iESLC0wYREdFEw5qCcebAgQOYNm0a/vSnP2HJkiW59V/72tfw4osvYv369UOec/bZZyOVSmHPnj25moF77rkHa9aswcGDB4fsD7CmoJycpI343j5vpKN3DiNx6CC00ZVXm9A7pBOz1hqHlINNVgCvBiJ4W5rokBJtVQ25gLCoaSYurJ+G0KBmRyrdh2R+LUL//oLtgbrFaKz7NxiqHghLGH/RxGBARDROsKaASsVv9nGmsbERhmHg0KFDBesPHTqElpaWos9pbW2FZVkFTYXmzZuHzs5OZDIZBAJDh60MBoMIBk9thl46PWbYQs3cRtTMbcQ0nAnlKCQPxryahF2HEWs/Alf3ANZAUBBGEi2GhauVxtWpOAAgpRW29fdgw9F38cudr+LbhomkYWF+fSsWNc7EoqZZWNw0E3OqG1Ex51pUzLkWWmvYXZu9gND+DFIH/geZnvU4FP0Qmlr+CxZmI/PMZqSnvYbQWe+DVXc2hBBlPmJERER0uhgKxplAIICLL74Y69aty/UpUEph3bp1uOmmm4o+Z+nSpfj5z38OpRSkP8Pujh070NraWjQQ0NgiTYmKGTWomFHjNznSyHQnvZDwzmHE3jmMdCwFBI4O1CZY3QgJYAGABXYKsL3XOgiNN+J9ePvALqw2TOySBqqDkYLahEWNZ6Bh4T+jduE/Q2ViSHY8h2T7M+ja989oqPwhLKsN1t73oHP9ByAqwgi3LUeg8XzIUC2MUD1ksA4yVOfdB6shShhelYiIiMqLzYfGoccffxwrV67Ej370IyxatAj33nsvfvGLX2Dbtm1obm7GZz7zGUybNg2rV68GAOzbtw/nnnsuVq5ciS996UvYuXMnbrjhBnz5y1/GbbfdVtJ7svpxbHMSNuIdfYi9cwTRHfuRPOJAG1Eg0HXcTswZAFulgc2Ghc2GibcNA4eFxFnVTQVBYX79VASkAfvgNmCjhHQrYdt7cKTzOrjuoaEFyhISMlgLGaqHDGZDg/+4SIgwQv5yqB7SDI/cASMimiT4/U2lYigYpx544IHc5GULFizAfffdh8WLFwMALr/8crS1teHRRx/N7f/yyy/jlltuwaZNmzBt2jR87nOfO+7oQ4PxpDK+KEcheSCG2O6j6NvajsSBDFxX+7UJA52Yi83EfEQILyBIE5sNE9sME8owcWHDNCxqnInLa9pw9d4mmClAB1KIBR+BHd8KN90LleqGSnn32k2d1mcQRjAXJmSoHkaoFjJY74eGOhj5NRLZ7f7+QrISlIgI4Pc3lY6hgErCk8r4prVGuiuJ2O6jiL79DuL7+pFJhgEjVtjsqEgnZhfALmngbcPE24aJzdKEMGuxrvoTmC6r0GWmseGsflTVVKA1Uo3WSDUqrSCUk4RK9UCle6BSPXBTPXmPu4eECDc9sD1/ToVTIQLVA6GhhBAhQ/UwgnUQgSr2kSCiCYXf31QqhgIqCU8qE4+TsNG/pwu9b+1A/55upKNhaAHA6srrxHwEMIb+4h+DQEegAR9q+jvUGzUAgLR2sF9FsVdFcUDH0W1kkAgoZMICMmIiUhFEc0U1WsPVaI1UoTVcjfpgZMhFuNYKOhPzQkQ2KBSEiJ6BAOHvk91XZ4Y2kTopwvACRF54yDV7ytVUDGr2FKqDEaw/5gzRRETlxO9vKhVDAZWEJ5WJTzkKiXd70fvmNsR2dSLZbUGrCLRMDKpN6AKk90t+wKhDW+PfIBKYesIOxUq7SLlR9Lt9iDm9iLp96HP7EEc/EkggLdMwLQvBQBjhQBgVwTAqQxWoDlWiOlQJ0wpAGhakaUEYlr8cGHhsWhAAtJuAdmLQdgw63QuV9moj3FQ3VDZYpPNqLlI9cNPdgDu0KdXJEGb4GH0n8kNGtu+EHzJC9ZCBGghZWjM+IqKTxe9vKhVDAZWEJ5XJR2uN1JE4et/cgujWDiSPaLhOPTQUYPYMdGK2DgPSRsCqRMCsQcCqRcCo9ZbNWgSMOlhmNaQ4fjt/rRVstx8Ztxe204uM04t03nLG7YXS9kl9BiENCMOENExIw4IwB8KEMAO5UCENC0IKCKEA7QDagdA2oNOAmwJUEtpJAE4CcPqhnCiQiULbfdCZXgg4AFwIuHn3GqU1RBKQwZpBNQ95TZ/yQ8SgmgphVbC50xiltYZ2NaA0dPbmKihXQbsulO14944D5djQjg1l29CuDdfJQDsOtJtd50Arb1+tHG+bcv3X85aFkDDDVbAq6xGsaYJVVQ8zEoIRNGEEDcigARkw+O9lEuL3N5WKoYBKwpMKAYAdz6B309vo2/wOEgfTsFP1gCgc1lZDAcK7OIbwl4ULK2DAClgIBC0EAkH/FvJvYcgSOgfbThK2E0XGiXpBwelDxu3xbk43XB1HiVfiI88/s4rsstYQ0F5/Ce1CaAfQrrcMF0K7ABwvUGgHAg6EcADYkLD9bTaEsCH84yulgAxGYAQrYYSqYITrIMO1sCL1/khOQ5s7ZQOHMEZuOGKtNaAcaP/zQTlw3Qzg2HDtDFTGhnLS0I4DZdv+RbF/cex663IXwa4D7SjvsetAuS7gulBKAcqFVmrQTXsXzFoDSnnN0ZQXOqG1d7GuVe5vouGtg9ZAdhnaewh/2ftQucfZP6rOPgbytmXXKX9Z5a3TQ/rsjNwfwQDcEKBCgAp7924QAhYkLAhhQhoBmGYA0rJy4cEIWzCCQRjhIIxIGGYkAiNSCbOiAkbI8vYJml7AkGPlPxsdD7+/qVQMBVQSnlSoGNd2Edu6A5meXv8Cz4V2XP9CzvV+FXW8X0a1q/JuA7+cZn9FlbBgGCFYRgim6d2sQAiW5d2MQTMxFy2P4yKTziCTsZHJpP1bEplMEradhOOm4IWV7C0/wHg3LVwAKm8fd8g+xZ6XWz9WaFH0ln99WniNKgAhvEvc7K/JIrseeY/9y+TcuryL4uzykIvgUbwYHq+8A+/ddN4B1wMX3mLwH6JgvYYWClo4J3+stfQDhB8e/JsYEipCgA7kyiFkBsKwIU0H0lSQloYMCMiA8EJGyIQRCsAIBWFEQjDCEZiRCpiVVTDDIcig4e0TMCAMzmcyUvj9TaXiuH1EdMoMy0DtBfNG5b10RgFJFzrhAAkXOuECSce7T7hARsEwDYTNMMIVxec4SGkHnaof79pRHHZjOGLHcNSJoTsTRY/dj7iTgKU0AhoIKAFLA0ElUGMEUCMrUSUtVEoLFdJERJgIw0QIBgLCgAXpNxXxA5ByvV+ptYLWecv+r8je7zEKOvtrsn9R591rP2CogtqWgdoX5xjBJO9iUBS/EB+8puyX6jr/QjjvvmAbBu7zf5hHfibRuV//c4/h1wDkammyN+WPcOUti+zj3PrsOr8mJ7ecv871m5q5heuUnavtgfb/PlBebZDwLuAFAPi/sgsIQEpIaQBCAkJ6fUyk4fXTkXnrhPTWCQktpf+qgBISWhoww9UIVNTDClcDZgjKkFBCwtWAqzRcR8F1XO/mOl7TI+3/GzMTABKFf5qify8JrYJeUHDzAoQKAYkQ0J8NFiaggv6ntf3bcQYCEDakYUOaNoQfMAxLQwakFx6ChldTkQsYYS9gVFTCqKiE6ddiyKAJaTJgEJ0KhgIiGhdEQAIBCVFTvMZAO9nQ4Pqhwcl77AAphZAw0WbUos2oLfoaDhSOihTe1THsdvqww+lGu9uHP6soOlQM+9RRODh2bUBtIIzWcBVaI9Vo8UdZaglX+csDIy9VW6GS23bnt0f37guXle1C2Rlo24ZKp+DaKbjpNFQmBZVJw7XT0HbGa7bjZqDsDJSd9IaMtdNQTgZaeZ2shRAFlQMi7/pc5N17++jcOim0/xzvQlxCQwtA+iFH+DUFEtkLbq8Phtd0yrsQ18q/6PbDVOE6L1DBf5zbrl1AqYF12e3+uvzX8l7DLf5a6sSvlSuL3wzpdOgiy6dbxyTgxY+kfzsW6d8seH8ZJ1QFXdEAROogQjUQoSrIYCWEGYaWJhQklFJwXRdK+aHUSHq3vP+KxQMEABh+QLAgXMuvcaiAdisAtwZQlX6ICEI5FpRzok+q8z5l9zEOhgMpMxCmA2m6Xi1GQENaAjIo/aZSfi1GJAQzFIIRicCsqIJZWQUjHMo1kxKWZD8MmjTYfIhKwupHGu+00gUhIVfDkK1tSLon/NlcQyNmODgqUzig+7HH7cMOuxub00fwjtODvSqKFNwTliVsWGjJhYeqXGBo8UNEqx8imkIVkCcY1YlOjaNcxJ0M4k4GCcf2lu3s40zetrzt2W12Ggk7jYSTRtpOI5l3S7kZpOw0lHIhoSG0huHXVEjtBabsvfDvDT2wnL+POME2qTUCQiAsDQS1C5mOI2ynUOWkUemmUeFk/OUMKp00Kp0MKt00qpw0rFOYC0QLA9oMQVthaCsEbYahrTBUoBI6WAkdiABmCNoIAOLkR9SSZgCGYUIKAwIGBCTgSgjXgHYMwDEBJwBlB6DdILQbgNYhaB2BVhEAoZN+zxNzIYwMpGFDmK4XMiwNaQFGUEIGjIFmUuEgjFDI64dR4dVimJFKGOGAV4thlacfBr+/qVQMBVQSnlRootPaCw1DahsSLnTSr20o4ToqY2rELAfdMoUDiKNDxbDT7sbbmSN4I9mJ/Scxl4IhJJrDlXmBoRqt4Sq0RArne2gOVyFoTKyKX1cpJNz8C/WBC/P8C/fBF+1xOzPoecWfm1EnDm/DwRASFWYgd4uYlndvZR8Him8/zraKvOdag4azTTk2+uwUopkU+uwU+jL+zU4imkkhaqfQl06iPxlDOtEDO94LleyFSkShUzHIdAyBdAKVrh8inDSq/FBR4WRQ5ab9gJFG5Dg/62shvQBh+gHCCudCRH6g0GYYMIMDVVGlHlcrADMYgRmqgBmK+LcwpJTItr7TroawFVTKhpNyoDIOVNqFmwGUDShHQtkGtGtCuQFoFYLWYWgdAXTklP7ex6cG+mEYDqSVrcWA1w8jYGDWJ66CVVUzrO/K728q1cT6FiEiOkVCCCBiAhETomHodq01kFZ+SMjr15Bw/NDgAo5GwBFocCw0wMIcVAFo8V5AAqgAdK2AHQT6LRc9RhqHRAL7VAy73B5sSR/FzmQ3DiajOJKKw9UKBxJRHEhEga7jl78+GCkMDP5yfk1Ea6QKVdbw/JqqtEJyyMW2PfSiPXtx7tq5C/XBF/XFLvrT7gnbkQwLKcQxL84jBY/ztlsBhA2r4OK86MW7GUBglMNayLQQMi00h6tO+TVs5Q4EiEHhoiO3nEQ0HUcq3oNMvAcq0Qc3GYVORSFSMZjpOCqcdK6mospJo8KOozLV7a3z11c4GUigaA1EfqBAdtkMAULC9ZvEpft7T/h5BDQMIWCYJgwrCKsigmCoAmakBoGqOlhVTQjWTIFVMwVGMACoNNxMFE68H268H04iDjeRgJNMQSXTcFI2VNqBm3ahMtoLGLaAcgwox/BqMFQAWnkBQ+swAAOA9IKHCkHZAIbOCwk9Sv/uiYphTQGVhL80EB2f1hqw9UDTpCGdor3O0CdkCCBiAGGJREChz7BxSCbxrophj9uLXekeHEzF0JmM4mAiis5k7KR+9a4wA0OaKk0JV8JWbtFf1BMFv8APXNgn3ZObM+JUCYiCi+yCZSuAiDHwy/mJf2kvvLCPGBaChsk24yNAaYV+O5OrpRiosUgVBo50AslELzLxXjjJXriJPuhkFEjFINP9iNipXE1FtvlTjVao0QIVUiIsDISkCcMM5QWLgUCBk21+56QhnDSgMhBaQQjAMEyYloVAMIJAuMoLExW1MCvqYERqIMM1kOHq3LIRqQGsMOCmvNnZM1G4iRic/n64iX44uYCRgpvKwM0GjLTCmZ//MmQJI62dDH5/U6kYCqgkPKkQnT7tqKIjJ2XDA9IlhAYJIGxAREwgbAARA3HL9fo5oB/tThQHU15gOJiM4VAyioOJGA4mo4jZ6RH5XBHTKnpxfqxf2vMv3CuOeWEfRIUZQIgX7ZOW1hpJ1y5oAtWXFyjym0jFk1Gk472wEz1wE71QSa85VGUqjlrXRoNSqIVGDYBKSESkREiYCBgBGEYA0gwCJzuzuGtD2EkIJwlhp/x77wYn7f1fNUyIQAhmqBJWpBaBijoEIrW58DBwXw0ZrkHkzMUQ5vDOIcLvbyoVQwGVhCcVopGnXX38YVeTJdQICAAhLyyIsOE1h4p4j1OWwkHEcSAdQ2cyW9sQw5FUPwKGMeTiPJz3q/yxfmkPmxY7Q9OYlnadgZqJbNMnO+3fZ2sskkgn+iBjR2HFuxFOxBBOxxFx0qhwHFRqhSohERESYWnCONl/864N4aQKQ0RuOZnb1vK/30TjlLZh/fz8/qZSsU8BEdEYIQwBVJoQlcVPzVppIOUW7c+QHYIVCgMdprPP8+8DAGYBmBUMA5FKiMgMLzzUG964+dlxSLNDkRYsA1AC/uTKQEr4Q5ba0Md7Tv5EaMfcL28ZYM0ADaugYaLJqERTqPKUX8NVKhcgejNJxOJ96O/vRjKebfoUhUr2Q6bisNJxhNNJhJ0MIspFAAAMC9qwoIPH7+sh5PA2HSI6GQwFRETjhJB5naGLbB/oDJ3XNCk5aAhW198nraB7vH4BY7K6+EThoSBsnGA/kd29SGA5zfcRg9fjeK816DGO/Z6i2HOO99pSAEGOqT9SDClRF4ygLuiPStQwreTnupkU7EQUdqIPsVgXYrFuJOM9SMf7YCei0MkYkI7DzCRRWzdlhD4B0YkxFBARTRBCCK/pUMiAqB+6XWvtdXYuMsmbN9xqdlZgAFrnJgUemC3Yvw3a77jLKLKtFPnvVbDy1IxU8BlTgUoACEogaECE5MC/hVB2nQFklw2Gh9FiBEIwAiGEaqegCnPKXRyiY2IoICKaJIQQQNDwLgpry1cOfawggUHh40SBY9BzdKnPyXalK2E/XeR9hoSkY772sZ+jS9pvUJA63n7KX04pIKWg+/KOd7E/giX8wOAHhZABEfSWhR8mEJIQJvuLEE0WDAVERDSqRH5zmKINoU7xdYftlcYfrbLNwlzolPL6nqRc6LS3rFOuHxj8mbttDdgOdGxgXPyi4cH0miXlBwgR8oLlQICQgMWmS0TjHUMBERHROCek8IaoDRvHDUfefBp+bUJeUNApb0hc7YcJpJTX/8TRgOMC8aEd1wtIDAoKBkRwUBOmkMF+D0RjGEMBERHRJCGEAAIGEDAgqo8/0o22vQ7p+TUNOj0QGnIBwtaDRr06QQf2XM1DNigMLLPfA1H5MBQQERHREMLymgWhsvhoV1na1UC6MCjolPLX5TVnyk7Olx396mT6PRRrwpQNDxb7PRANB4YCIiIiOmXCyA6Ve/x+HbkhcwuCwsByrjlT2h8Nq9R+D4YY6CydbaKU31ma/R6ISsJQQERERCOuYMjc4+zn9XvQQ4KCzm+25IcLONrr+xA/yX4PwUF9HfI7UAel10eDaJJhKCAiIqIxw+v3IICAPHG/B0cNdJYe1IRpoA+E8ubnONV+D4MCRME69nugCYShgIiIiMYlYUqgsoR+D0oXdpAuGLo1rwN1WnlJ4WT7PQTz5nso0oEapmDTJRrzGAqIiIhoQhPyFPo9pNWQkZYG1p1Gv4fBczzkh4oA+z1Q+TAUEBEREeEU+z1kmygda9Slk+j3YCxv8eabICoDhgIiIiKik1DQ7wEl9HsYNOpSsQ7UsJXXl4GoTBgKiIiIiEaIMCVgSqDixP0eOOoRlRMjKREREVGZMRBQuTEUEBERERFNcgwFRERERESTHEMBEREREdEkx1BARERERDTJMRQQEREREU1yDAVERERERJMcQwERERER0STHUEBERERENMkxFBARERERTXIMBUREREREkxxDARERERHRJMdQQEREREQ0yTEUEBERERFNcma5C0Djg9YaABCNRstcEiIiIipV9ns7+z1OdCwMBVSSWCwGAJgxY0aZS0JEREQnKxaLoaamptzFoDFMaEZHKoFSCgcOHEBVVRWEEMP2utFoFDNmzMC+fftQXV09bK9LhXicRweP8+jhsR4dPM6jYySPs9YasVgMU6dOhZRsNU7HxpoCKomUEtOnTx+x16+uruYXzijgcR4dPM6jh8d6dPA4j46ROs6sIaBSMDISEREREU1yDAVERERERJMcQwGVVTAYxJ133olgMFjuokxoPM6jg8d59PBYjw4e59HB40xjATsaExERERFNcqwpICIiIiKa5BgKiIiIiIgmOYYCIiIiIqJJjqGAiIiIiGiSYyigsnrwwQfR1taGUCiExYsX49VXXy13kca11atX45JLLkFVVRWmTJmCa665Btu3by/YJ5VK4cYbb0RDQwMqKyvxsY99DIcOHSpTice/u+++G0IIfOUrX8mt4zEePvv378ff/u3foqGhAeFwGOeffz42bNiQ2661xre+9S20trYiHA5j2bJl2LlzZxlLPP64ros77rgDs2fPRjgcxplnnonvfve7yB+HhMf55P3xj3/EihUrMHXqVAgh8N///d8F20s5pt3d3bj++utRXV2N2tpafO5zn0N/f/8ofgqaTBgKqGwef/xxrFq1CnfeeSdef/11zJ8/H8uXL8fhw4fLXbRx68UXX8SNN96IV155BWvXroVt27jqqqsQj8dz+9xyyy347W9/i1/+8pd48cUXceDAAVx77bVlLPX49dprr+FHP/oRLrjggoL1PMbDo6enB0uXLoVlWfjDH/6ALVu24Ic//CHq6upy+/zgBz/Afffdh4cffhjr169HRUUFli9fjlQqVcaSjy/f//738dBDD+GBBx7A1q1b8f3vfx8/+MEPcP/99+f24XE+efF4HPPnz8eDDz5YdHspx/T666/H22+/jbVr1+Kpp57CH//4R3z+858frY9Ak40mKpNFixbpG2+8MffYdV09depUvXr16jKWamI5fPiwBqBffPFFrbXWvb292rIs/ctf/jK3z9atWzUA/fLLL5ermONSLBbTc+bM0WvXrtXvf//79c0336y15jEeTl//+tf1ZZdddsztSind0tKi16xZk1vX29urg8Gg/q//+q/RKOKE8OEPf1jfcMMNBeuuvfZaff3112uteZyHAwD9xBNP5B6Xcky3bNmiAejXXnstt88f/vAHLYTQ+/fvH7Wy0+TBmgIqi0wmg40bN2LZsmW5dVJKLFu2DC+//HIZSzax9PX1AQDq6+sBABs3boRt2wXHfe7cuZg5cyaP+0m68cYb8eEPf7jgWAI8xsPpySefxMKFC/HXf/3XmDJlCi688EL85Cc/yW3fs2cPOjs7C451TU0NFi9ezGN9Ei699FKsW7cOO3bsAAC8+eabeOmll/DBD34QAI/zSCjlmL788suora3FwoULc/ssW7YMUkqsX79+1MtME59Z7gLQ5HT06FG4rovm5uaC9c3Nzdi2bVuZSjWxKKXwla98BUuXLsV5550HAOjs7EQgEEBtbW3Bvs3Nzejs7CxDKcenxx57DK+//jpee+21Idt4jIfP7t278dBDD2HVqlX45je/iddeew1f/vKXEQgEsHLlytzxLHYe4bEu3a233opoNIq5c+fCMAy4rou77roL119/PQDwOI+AUo5pZ2cnpkyZUrDdNE3U19fzuNOIYCggmqBuvPFGbN68GS+99FK5izKh7Nu3DzfffDPWrl2LUChU7uJMaEopLFy4EN/73vcAABdeeCE2b96Mhx9+GCtXrixz6SaOX/ziF/jZz36Gn//85zj33HOxadMmfOUrX8HUqVN5nIkmETYforJobGyEYRhDRmQ5dOgQWlpaylSqieOmm27CU089heeffx7Tp0/PrW9paUEmk0Fvb2/B/jzupdu4cSMOHz6Miy66CKZpwjRNvPjii7jvvvtgmiaam5t5jIdJa2sr3vOe9xSsmzdvHjo6OgAgdzx5Hjk9X/3qV3Hrrbfik5/8JM4//3x8+tOfxi233ILVq1cD4HEeCaUc05aWliEDbziOg+7ubh53GhEMBVQWgUAAF198MdatW5dbp5TCunXrsGTJkjKWbHzTWuOmm27CE088geeeew6zZ88u2H7xxRfDsqyC4759+3Z0dHTwuJfoyiuvxFtvvYVNmzblbgsXLsT111+fW+YxHh5Lly4dMqTujh07MGvWLADA7Nmz0dLSUnCso9Eo1q9fz2N9EhKJBKQsvBwwDANKKQA8ziOhlGO6ZMkS9Pb2YuPGjbl9nnvuOSilsHjx4lEvM00C5e7pTJPXY489poPBoH700Uf1li1b9Oc//3ldW1urOzs7y120cesf//EfdU1NjX7hhRf0wYMHc7dEIpHb5wtf+IKeOXOmfu655/SGDRv0kiVL9JIlS8pY6vEvf/QhrXmMh8urr76qTdPUd911l965c6f+2c9+piORiP7pT3+a2+fuu+/WtbW1+je/+Y3+85//rP/qr/5Kz549WyeTyTKWfHxZuXKlnjZtmn7qqaf0nj179K9//Wvd2Niov/a1r+X24XE+ebFYTL/xxhv6jTfe0AD0Pffco9944w29d+9erXVpx/Tqq6/WF154oV6/fr1+6aWX9Jw5c/R1111Xro9EExxDAZXV/fffr2fOnKkDgYBetGiRfuWVV8pdpHENQNHbf/zHf+T2SSaT+otf/KKuq6vTkUhEf/SjH9UHDx4sX6EngMGhgMd4+Pz2t7/V5513ng4Gg3ru3Ln6xz/+ccF2pZS+4447dHNzsw4Gg/rKK6/U27dvL1Npx6doNKpvvvlmPXPmTB0KhfQZZ5yhb7vtNp1Op3P78DifvOeff77o+XjlypVa69KOaVdXl77uuut0ZWWlrq6u1p/97Gd1LBYrw6ehyUBonTdlIRERERERTTrsU0BERERENMkxFBARERERTXIMBUREREREkxxDARERERHRJMdQQEREREQ0yTEUEBERERFNcgwFRERERESTHEMBERGdlEcffRS1tbXlLgYREQ0jhgIiIiIiokmOoYCIiIiIaJJjKCAimkCefvppXHbZZaitrUVDQwP+8i//Eu+88w4AoL29HUIIPPbYY7j00ksRCoVw3nnn4cUXX8w9/4UXXoAQAr/73e9wwQUXIBQK4b3vfS82b95cro9ERESjgKGAiGgCicfjWLVqFTZs2IB169ZBSomPfvSjUErl9vnqV7+Kf/qnf8Ibb7yBJUuWYMWKFejq6ip4na9+9av44Q9/iNdeew1NTU1YsWIFbNse7Y9DRESjhKGAiGgC+djHPoZrr70WZ511FhYsWIBHHnkEb731FrZs2ZLb56abbsLHPvYxzJs3Dw899BBqamrw7//+7wWvc+edd+IDH/gAzj//fPznf/4nDh06hCeeeGK0Pw4REY0ShgIioglk586duO6663DGGWeguroabW1tAICOjo7cPkuWLMktm6aJhQsXYuvWrQWvk79PfX09zjnnnCH7EBHRxGGWuwBERDR8VqxYgVmzZuEnP/kJpk6dCqUUzjvvPGQymXIXjYiIxjDWFBARTRBdXV3Yvn07br/9dlx55ZWYN28eenp6huz3yiuv5JYdx8HGjRsxb968Y+7T09ODHTt2DNmHiIgmDtYUEBFNEHV1dWhoaMCPf/xjtLa2oqOjA7feeuuQ/R588EHMmTMH8+bNw7/+67+ip6cHN9xwQ8E+//Iv/4KGhgY0NzfjtttuQ2NjI6655ppR+iRERDTaWFNARDRBSCnx2GOPYePGjTjvvPNwyy23YM2aNUP2u/vuu3H33Xdj/vz5eOmll/Dkk0+isbFxyD4333wzLr74YnR2duK3v/0tAoHAaH0UIiIaZUJrrctdCCIiGnnt7e2YPXs23njjDSxYsKDoPi+88AKuuOIK9PT0oLa2dlTLR0RE5cOaAiIiIiKiSY6hgIiIiIhokmPzISIiIiKiSY41BUREREREkxxDARERERHRJMdQQEREREQ0yTEUEBERERFNcgwFRERERESTHEMBEREREdEkx1BARERERDTJMRQQEREREU1yDAVERERERJPc/w88+P4zfdqd2wAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# x axis: exploits\n",
"# y axis: speedup and eff\n",
"# At each xtick: compartments 0-100 for appl. Min, mean, max for each?\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"exploit\", \"nodes\"], values=[\"speedup\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"exploit\", y=\"speedup\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv).set(title='Mean Speedup for the Exploit Parameter\\n Across the Number of Compute Nodes')\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"appl\", \"nodes\"], values=[\"speedup\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"appl\", y=\"speedup\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv).set(title='Mean Speedup for the Applicable Exploit Parameter\\n Across the Number of Compute Nodes')\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"load\", \"nodes\"], values=[\"speedup\"], aggfunc='mean').to_records())\n",
"tmp_pv['load'] = tmp_pv['load'].replace(395,0)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(296,25)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(197,50)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(79,75)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(1,100)\n",
"ax = sns.lineplot(x=\"load\", y=\"speedup\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv).set(title='Mean Speedup for the Database Load Parameter\\n Across the Number of Compute Nodes')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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FzsfgQ0RE1IxIkuTwcpMSJk2ahK+//ho7duxAmzZtlC7nDzH4EBER0XUTQuDf//431q5di23btiEmJkbpkhqEwYeIiIiu28SJE7Fy5UqsX78ePj4+yMnJAQD4+fnBw8ND4equjQc3ExER0XVbtGgRioqKMGTIEISHh9seq1evVrq0enHGh4iIiK6bEELpEhzCGR8iIiJyGww+RERE5DYYfIiIiMhtMPgQERGR21A8+CxcuBDR0dEwGAyIi4vD3r176+1fWFiIiRMnIjw8HHq9Hp06dcLGjRubqFoiIiJqyRQ9q2v16tVISUnB4sWLERcXhwULFiAxMRGZmZkICQmp1d9sNuOOO+5ASEgIPvvsM7Ru3RpnzpyBv79/0xdPRERELY6iwWf+/PmYMGECxo8fDwBYvHgxNmzYgI8++ghTp06t1f+jjz5CQUEBfvzxR2i1WgBAdHR0U5ZMRERELZhDS11Lly5FWVlZo3ZsNptx4MABJCQkXClGpUJCQgJ27dpV53u+/PJLxMfHY+LEiQgNDUWPHj0wd+5cWK3Wa+7HZDLBaDTaPYiIiMg9ORR8pk6dirCwMDz00EP48ccfHdrxxYsXYbVaERoaatceGhpqu+z17506dQqfffYZrFYrNm7ciOnTp+ONN97A7Nmzr7mf1NRU+Pn52R6RkZEO1UtEREQtn0PB59y5c1i+fDkuXryIIUOGoEuXLnjllVeuGVicRZZlhISE4P3330e/fv0wevRoPP/881i8ePE13zNt2jQUFRXZHmfPnnVpjURERNR8ORR8NBoN/vrXv2L9+vU4e/YsJkyYgBUrViAqKgp33XUX1q9fD1mW6/2MoKAgqNVq5Obm2rXn5uYiLCyszveEh4ejU6dOUKvVtrauXbsiJycHZrO5zvfo9Xr4+vraPYiIiKhxFi1ahF69etn+tsbHx+Obb75Ruqw/1OjT2UNDQ3HzzTcjPj4eKpUKhw8fRnJyMtq3b49t27Zd8306nQ79+vVDWlqarU2WZaSlpSE+Pr7O9wwePBgnTpywC1XHjx9HeHg4dDpdY78KERERNVCbNm0wb948HDhwAPv378ftt9+Ou+++G0eOHFG6tHo5HHxyc3Px+uuvo3v37hgyZAiMRiO+/vprZGVl4dy5cxg1ahSSk5Pr/YyUlBQsWbIEy5cvx7Fjx/Doo4+itLTUdpbXuHHjMG3aNFv/Rx99FAUFBZgyZQqOHz+ODRs2YO7cuZg4caKjX4OIiKhZEUKgtNKkyON6bjw6YsQI/PnPf0bHjh3RqVMnzJkzB97e3ti9e7cLR6fxHDqdfcSIEdi8eTM6deqECRMmYNy4cQgMDLRt9/LywpNPPonXXnut3s8ZPXo08vPzMWPGDOTk5KBPnz7YtGmT7YDn7OxsqFRXsllkZCQ2b96MJ554Ar169ULr1q0xZcoUPPvss458DSIiomanzGKG73+eV2TfxvvmwEurv+73Wa1WfPrppygtLb3mqk1z4VDwCQkJwfbt2+v9csHBwcjKyvrDz5o0aRImTZpU57a6lsri4+ObfZokIiJyB4cPH0Z8fDwqKirg7e2NtWvXolu3bkqXVS+Hgs+HH374h30kSULbtm0d+XgiIiK35anRwXjfHMX2fT06d+6M9PR0FBUV4bPPPkNycjK2b9/erMOPQ8Fn8uTJ6NChAyZPnmzX/s477+DEiRNYsGCBM2ojIiJyO5IkObTcpASdTocOHToAAPr164d9+/bhzTffxHvvvadwZdfm0MHNn3/+OQYPHlyrfdCgQfjss88aXRQRERG1PLIsw2QyKV1GvRya8bl06RL8/Pxqtfv6+uLixYuNLoqIiIiat2nTpiEpKQlRUVEoLi7GypUrsW3bNmzevFnp0url0IxPhw4dsGnTplrt33zzDdq1a9foooiIiKh5y8vLw7hx49C5c2cMGzYM+/btw+bNm3HHHXcoXVq9HJrxSUlJwaRJk5Cfn4/bb78dAJCWloY33niDx/cQERG5gYac6NQcORR8HnzwQZhMJsyZMwcvv/wyACA6OhqLFi3CuHHjnFogERERkbM4FHyAqqsoP/roo8jPz4eHhwe8vb2dWRcRERGR0zkcfGoEBwc7ow4iIiIil3Po4Obc3Fzcf//9iIiIgEajgVqttnsQERERNUcOzfg88MADyM7OxvTp0xEeHg5JkpxdFxEREZHTORR8du7cie+//x59+vRxcjlEREREruPQUldkZOR13bqeiIiIqDlwKPgsWLAAU6dOxenTp51cDhEREZHrOLTUNXr0aJSVlaF9+/bw9PSEVqu1215QUOCU4oiIiIicyaHgw6szExERUUvkUPBJTk52dh1ERETUgs2bNw/Tpk3DlClTmvUEiUPH+ADAyZMn8cILL2DMmDHIy8sDUHWT0iNHjjitOCIiImr+9u3bh/feew+9evVSupQ/5FDw2b59O3r27Ik9e/bgiy++QElJCQDgp59+wsyZM51aIBERkTsRQkA2lSrycOSM7ZKSEowdOxZLlixBQECAC0bEuRxa6po6dSpmz56NlJQU+Pj42Npvv/12vPPOO04rjoiIyN0Icxl+eViZ+192eb8Ekt7rut4zceJEDB8+HAkJCZg9e7aLKnMeh4LP4cOHsXLlylrtISEhuHjxYqOLIiIiouZv1apVOHjwIPbt26d0KQ3mUPDx9/fHhQsXEBMTY9d+6NAhtG7d2imFERERuSNJ54ku75cotu+GOnv2LKZMmYItW7bAYDC4sCrncij43HvvvXj22Wfx6aefQpIkyLKMH374AU899RTGjRvn7BqJiIjchiRJ173cpIQDBw4gLy8Pffv2tbVZrVbs2LED77zzDkwmU7O8cblDwWfu3LmYOHEiIiMjYbVa0a1bN1itVvzjH//ACy+84OwaiYiIqJkZNmwYDh8+bNc2fvx4dOnSBc8++2yzDD2Ag8FHp9NhyZIlmD59OjIyMlBSUoLY2Fh07NjR2fURERFRM+Tj44MePXrYtXl5eaFVq1a12psTh4JPjaioKERFRTmrFiIiIiKXanDwSUlJwcsvvwwvLy+kpKTU23f+/PmNLoyIiIhalm3btildwh9qcPA5dOgQKisrbT9fiyRJja+KiIiIyAUaHHy+++67On8mIiIiaikcumVFUVERCgoKarUXFBTAaDQ2uigiIiIiV3Ao+Nx7771YtWpVrfY1a9bg3nvvbXRRRERERK7gUPDZs2cPhg4dWqt9yJAh2LNnT6OLIiIiInIFh4KPyWSCxWKp1V5ZWYny8vJGF0VERETkCg4Fn4EDB+L999+v1b548WL069ev0UURERERuYJDFzCcPXs2EhIS8NNPP2HYsGEAgLS0NOzbtw//+9//nFogERERkbM4NOMzePBg7Nq1C5GRkVizZg2++uordOjQAT///DNuueUWZ9dIRERE5BQO37KiT58+WLFihTNrISIiohZi1qxZePHFF+3aOnfujF9++UWhihqmwcHHaDTC19fX9nN9avoRERHRjat79+7YunWr7bVG06hbgDaJBlcYEBCACxcuICQkBP7+/nXemkIIAUmSYLVanVokERERNT8ajQZhYWFKl3FdGhx8vv32WwQGBgLgLSuIiIhcRQgBuVJWZN8qreq67rn566+/IiIiAgaDAfHx8UhNTUVUVJQLK2y8BgefN998E7GxsfD19cWZM2cwevRo6PV6V9ZGRETkduRKGekztymy7z4vDoFap25Q37i4OCxbtgydO3fGhQsX8OKLL+KWW25BRkYGfHx8XFtoIzT4rK6vv/4apaWlAIDx48ejqKjIZUURERFR85aUlIR77rkHvXr1QmJiIjZu3IjCwkKsWbNG6dLq1eAZny5dumDatGkYOnQohBBYs2bNNQ9iHjdunNMKJCIicicqrQp9Xhyi2L4d5e/vj06dOuHEiRNOrMj5Ghx8Fi1ahCeffBIbNmyAJEl44YUX6lwHlCSJwYeIiMhBkiQ1eLmpOSkpKcHJkydx//33K11KvRocfAYPHozdu3cDAFQqFY4fP46QkBCXFUZERETN11NPPYURI0agbdu2OH/+PGbOnAm1Wo0xY8YoXVq9Gjyn9be//c12/Z6lS5c26wOXiIiIyLV+++03jBkzBp07d8aoUaPQqlUr7N69G8HBwUqXVq8Gz/jUHNzs6+uLBx98EElJSfDw8HBlbURERNRMrVq1SukSHMKDm4mIiMhtNDj4LF68GCkpKTy4mYiIiFqsBgefQYMG8eBmIiIiatEcOmE/KysLmZmZuO+++zBo0CCcO3cOAPDJJ59g586dTi2QiIiIyFkcCj779+9HYmIiPDw8cPDgQZhMJgBAUVER5s6d69QCiYiIiJzFoeAze/ZsLF68GEuWLIFWq7W1Dx48GAcPHnRacURERETO5FDwyczMxK233lqr3c/PD4WFhY2tiYiIiMglHAo+YWFhdd6LY+fOnWjXrl2jiyIiIiJyBYeCz4QJEzBlyhTs2bMHkiTh/PnzWLFiBZ566ik8+uijzq6RiIiIyCkafDr71aZOnQpZljFs2DCUlZXh1ltvhV6vx1NPPYV///vfzq6RiIiIyCkcmvGRJAnPP/88CgoKkJGRgd27dyM/Px8vv/yys+sjIiKiZurcuXO477770KpVK3h4eKBnz57Yv3+/0mXVy6HgU0On06Fbt24YOHAgvL29Hf6chQsXIjo6GgaDAXFxcdi7d2+D3rdq1SpIkoSRI0c6vG8iIiK6fpcvX8bgwYOh1WrxzTff4OjRo3jjjTcQEBCgdGn1cmipy5lWr16NlJQULF68GHFxcViwYAESExORmZlZ75WhT58+jaeeegq33HJLE1ZLREREAPDKK68gMjISS5cutbXFxMQoWFHDNGrGxxnmz5+PCRMmYPz48ejWrRsWL14MT09PfPTRR9d8j9VqxdixY/Hiiy/yLDIiIrqhCCFgrTQp8hBCNLjOL7/8Ev3798c999yDkJAQxMbGYsmSJS4cGedQdMbHbDbjwIEDmDZtmq1NpVIhISEBu3btuub7XnrpJYSEhOChhx7C999/X+8+TCaT7crSAGA0GhtfOBERkYvIFjMOLlLmDOm+jy6CWqtvUN9Tp05h0aJFSElJwXPPPYd9+/Zh8uTJ0Ol0SE5OdnGljlM0+Fy8eBFWqxWhoaF27aGhofjll1/qfM/OnTvx4YcfIj09vUH7SE1NxYsvvtjYUomIiOgqsiyjf//+tltVxcbGIiMjA4sXL2bwcZbi4mLcf//9WLJkCYKCghr0nmnTpiElJcX22mg0IjIy0lUlEhERNYpKo0PfRxcptu+GCg8PR7du3ezaunbtis8//9zZZTmVosEnKCgIarUaubm5du25ubkICwur1f/kyZM4ffo0RowYYWuTZRkAoNFokJmZifbt29u9R6/XQ69v2LQdERGR0iRJavByk5IGDx6MzMxMu7bjx4+jbdu2ClXUMIoe3KzT6dCvXz+kpaXZ2mRZRlpaGuLj42v179KlCw4fPoz09HTb46677sLQoUORnp7OmRwiIqIm8sQTT2D37t2YO3cuTpw4gZUrV+L999/HxIkTlS6tXoovdaWkpCA5ORn9+/fHwIEDsWDBApSWlmL8+PEAgHHjxqF169ZITU2FwWBAjx497N7v7+8PALXaiYiIyHUGDBiAtWvXYtq0aXjppZcQExODBQsWYOzYsUqXVi/Fg8/o0aORn5+PGTNmICcnB3369MGmTZtsBzxnZ2dDpVL8rHsiIiL6nb/85S/4y1/+onQZ10US13PS/g3AaDTCz88PRUVF8PX1VbocIiJycxUVFcjKykJMTAwMBoPS5SiqvrFw1t9vTqUQERGR22DwISIiIrfB4ENERERug8GHiIiI3AaDDxEREbkNxU9np+ZFWCshLOUQlnLIlnIIazmEpcLWJizlMLS5DSqdj9KlEhERXTcGH4VZSi+gPGsTrOUXIanUgKQBVGpIkhpQaaqeJTWgUkG6epukhqTSQMiWqkBirbAPLJbagUW+6ucrbfZ9IKx/WHPr+w5CF8QLRhIRUcvD4KOAysu/ovTkepSd/BKmC3sANM9LKUlqAySNx1UPA1QaT0DF/2yIiKhl4l+wJmK+dBSlmatRenI9Ki8dtdumD4uDNqAThLBWzbjIVghhqX62Xnmutc0CSdLYBRNJ4wHV717XPFQazzraaveTNB5VoUeSFBotIiIi12DwaQKlJ9Yjb8NoQFTdSR4qDQxthsCr/d3wbD8CGu8IZQskIiK6TtHR0Thz5kyt9sceewwLFy5UoKKGYfBxMVPeIeRvSgaEDEPk7fDpdj88Yv4MtSFA6dKIiIgctm/fPlitV44LzcjIwB133IF77rlHwar+GIOPC1mKf0Pu+r9CWMrgEXUHQkeuh8TjY4iI6AYQHBxs93revHlo3749brvtNoUqahj+FXYR2VyC3C//CmvpeWgDuyJk+EqGHiIi+kNCCMCq0Ekvasmh4zvNZjP+85//ICUlpdkfH8q/xC5yafuTMOf/BJVnCELvXg+V3k/pkoiIqCWwCli/vqDIrtV/CQc01x9c1q1bh8LCQjzwwAPOL8rJeOVmF5Ary1CauRoAEPKnj6H1i1a2ICIiIhf68MMPkZSUhIiI5n+yDmd8XKD8zGYISxk0Pm1hiByqdDlERNSSqKWqmReF9n29zpw5g61bt+KLL75wQUHOx+DjAqW/rgUAeHb8W7Nf6yQiouZFkiSHlpuUsnTpUoSEhGD48OFKl9IgXOpyMtlSgbKsDQAAr45/U7gaIiIi15FlGUuXLkVycjI0mpYxl8Lg42QV2VshzMVQe7eBPmyA0uUQERG5zNatW5GdnY0HH3xQ6VIarGXEsxak4txOAIBnzJ8hScyVRER047rzzjurTr9vQfiX2ckspVWnIGr92ylcCREREf0eg4+TWUuqgo/aS6Ej8omIiOiaGHyczFp6HgCg9mr+1zIgIiJyNww+Tlaz1KXx5owPERFRc8Pg40SyuRjCXAyAS11ERETNEYOPE1mrZ3sknQ9UOh+FqyEiIqLfY/BxIkv1gc0azvYQERE1Sww+TlQz48MDm4mIiJonBh8nkk2FAACVIUDZQoiIiKhODD5OJCxlAACV1kvhSoiIiKguDD5OJFdWBR9J46lwJURERK5ltVoxffp0xMTEwMPDA+3bt8fLL7/c7G9hwXt1OVHNjI+kZfAhIqIb2yuvvIJFixZh+fLl6N69O/bv34/x48fDz88PkydPVrq8a2LwcSJhKQcAqDQeCldCRETkWj/++CPuvvtuDB8+HAAQHR2N//73v9i7d6/CldWPwceJuNRFRESNJYSAxWJRZN8ajQaSJDWo76BBg/D+++/j+PHj6NSpE3766Sfs3LkT8+fPd3GVjcPg40Rc6iIiosayWCx4//33Fdn3ww8/DK1W26C+U6dOhdFoRJcuXaBWq2G1WjFnzhyMHTvWxVU2DoOPEwnO+BARkZtYs2YNVqxYgZUrV6J79+5IT0/H448/joiICCQnJytd3jUx+DiRXHOMj5bH+BARkWM0Gg0efvhhxfbdUE8//TSmTp2Ke++9FwDQs2dPnDlzBqmpqQw+7sK21MWDm4mIyEGSJDV4uUlJZWVlUKnsr4qjVqshy7JCFTUMg48TcamLiIjcxYgRIzBnzhxERUWhe/fuOHToEObPn48HH3xQ6dLqxeDjRDWns0tqg8KVEBERudbbb7+N6dOn47HHHkNeXh4iIiLwr3/9CzNmzFC6tHox+DiRkKtOP5TUOoUrISIici0fHx8sWLAACxYsULqU68JbVjhTTfBRMU8SERE1Rww+TiTkyqofGHyIiIiaJQYfJ6oJPpzxISIiap4YfJypeqkLquZ/GiIREZE7YvBxoiszPgw+REREzRGDjzPxGB8iIqJmjX+hnch2Ovt1zPiYrBacLL6Iy6ZyVFgtMFktqLBaUGGthEm2XNVWedW2K68twrErZArh0NsAAHP6JSHKO8DxDyAiIlIIg4+TCCEAYQVQ98HNFytKkV5wDr8W5SOzKB/Hjfk4XpSPM6WXITcmhSjg6Z5DEAUGHyIiankYfJylZpkLqHVw87ozGRi7/T+osFrqfKuPVo9Qgw/0ajUMai0Mag0Mai30ag30ao3ttcHutQZ6lQZaldrhkiVJcuh94Z6+Du+TiIhISQw+TlKzzAXYL3WtOHkQ479fBauQEeMdiB4B4ejkF4ROfiHo5BuEzn4hCDF4OxxCXEFYK2Etz4e1LBfW0pyqR1kOrKW5sJTlIDDmbQDeSpdJRER03Rh8nMVuxqdqFua9X3Zh4q4vICCQ3KE/3h98DzSNmKFpDCEEZNPl6hCTW+vZUpprCzdy+UUA115+swx4FmrP4KYrnoiImqXi4mJMnz4da9euRV5eHmJjY/Hmm29iwIABSpd2TQw+TiKqj+8BAEnSYEnmbjy263MAwMSug7Eg7m6opLpPorOUnIOl6DSg0kJSayFJakCtrZo5UlU9SyrNVT9rAZUGkkoNubLMFljqeq4KNFUBxy6c/RFJDbVnKNReoVB7hlU/h0LtFQa1V1hjhoqIiG4Q//znP5GRkYFPPvkEERER+M9//oOEhAQcPXoUrVu3Vrq8OjH4OIt8JfhYAMw8tBkA8FSPIZjXf/g1l7JKMtcgf/MDVy5+eF0k1DczUxeVPuB3YcY+1Giqn1UeQZCuEdSIiIjKy8vx+eefY/369bj11lsBALNmzcJXX32FRYsWYfbs2QpXWDcGHye5esZny/kTyC0vRrDBC7P7JV079Bxbgfz/PQQIGWqfSEiSuuoiiLIFQq6s+tla/XzV51+1VwCApDbYZmJsszJXPWtqXnuGQtLoXfH1iYjISarOEq5QZueSocHHnFosFlitVhgMBrt2Dw8P7Ny50xXVOQWDj7PUBBOVBp+cPAAAGNOu7zXPuio+8jEubpkAQMC7x4MIGvZuvTMsQghArqw6iLo6FAm5EpLaAyq9X7M6OJqIiBpBVKDgt1sU2XVgm+8ByaNBfX18fBAfH4+XX34ZXbt2RWhoKP773/9i165d6NChg4srdRzXMpyleqmrWPLA+uwMAMD97fvV2bU44yNb6PHp9a8/DD1A1annkloHldYTKr0f1B5B0HiFQ23wZ+ghIiJFfPLJJxBCoHXr1tDr9XjrrbcwZswYqFTNN15wxsdJapa6vtF2gMlqQQ//MMS2qn1gl/Gn93Dpu38DAHz7TIRlwGt45vtCmKwCUT4atPVVVz9rEOKphqoJQ40QAmUWAaNZRrFZoNgsw1j9uPr1v3r6wN+gzNlpREQ3PMlQNfOi0L6vR/v27bF9+3aUlpbCaDQiPDwco0ePRrt27VxUYOM1i+CzcOFCvPbaa8jJyUHv3r3x9ttvY+DAgXX2XbJkCT7++GNkZFTNqvTr1w9z5869Zv8mUx18dqsjAAB/j+5VayamKH0hCrY9AQDwjZ0CVdw8zN1ViJyyqvfmllmxL/dKf70aiPTRIKr60da36tlb17AkbbbWhBj78FL1+nfbKgVKzDKsDThW+rJJZvAhInIRSZIavNzUXHh5ecHLywuXL1/G5s2b8eqrrypd0jUpHnxWr16NlJQULF68GHFxcViwYAESExORmZmJkJCQWv23bduGMWPGYNCgQTAYDHjllVdw55134siRI4qeOieql7p+UlVd3+amkLZ224sOvomCHU8DAPz6PQl93Gy8tKcIOWVWBHuoML67D3LKrMg2WpBdbMHZYgtMVuBEoQUnCu3P+GplUFWFIV8NDGoJxZVXwszVwcbUkBRTB4Nagq9Ogo9OZXvUvPbVqRDI0ENERAA2b94MIQQ6d+6MEydO4Omnn0aXLl0wfvx4pUu7JsWDz/z58zFhwgTbIC1evBgbNmzARx99hKlTp9bqv2LFCrvXH3zwAT7//HOkpaVh3LhxtfqbTCaYTCbba6PR6ORvUE1YUSAZcEZVdTuHAUGRV2rIPXAl9AycCq+BszBvXxFOGy3w1Ul4Ps4f4V72/xRWWdgFoexiC84YLcgvl3GpQsalCjMO5Zv/sCy1BPjqVPDRSdXPNQ/7175aCb56Fby1KujUPGaIiIj+WFFREaZNm4bffvsNgYGB+Pvf/445c+ZAq234zbqbmqLBx2w248CBA5g2bZqtTaVSISEhAbt27WrQZ5SVlaGyshKBgYF1bk9NTcWLL77olHrrJWT8rA4FAHTyDUaA3tO2qeRYVVjz7PBX+MbNwv87ZMTRgkp4aCQ8N7B26AEAtUpCa28NWntrEH9Ve1mlXD0jZMUZowUWWcBXr4KPVgVfvQQfrX2w8dBIPPiZiIhcYtSoURg1apTSZVwXRYPPxYsXYbVaERoaatceGhqKX375pUGf8eyzzyIiIgIJCQl1bp82bRpSUlJsr41GIyIjI+vs2zgC56pne7r6X/k+Qrai9PhnAADvrvdjSUYJ9ueaoVUBz/T3Q4zf9aViT60KXQJ16FJ3ziMiIqJ6KL7U1Rjz5s3DqlWrsG3btloXUKqh1+uh1zfBRfuEQHn1cHprdbbmit+2w1qWA5UhEOsqBmHbbxWQAEyJ9UO3VjoIIbAq/TzKK60YFB2AzsHN64alRERENxJFg09QUBDUajVyc3Pt2nNzcxEWVv/9oF5//XXMmzcPW7duRa9evVxZZoMICJikquH0VF8JPiWZqwAA+SEj8OXpqoOU/9XLBwPCqsLY6vTzGLvioK1/K08tBkUHYlB0IAbHBKB/G38YtE17MHF5pRX5JSbkl5qRV1z1nF9irnouNeGV4V0R5MUrQBMRUcujaPDR6XTo168f0tLSMHLkSACALMtIS0vDpEmTrvm+V199FXPmzMHmzZvRv3//Jqr2D1w14+OhqVq+EhYTyn5dCwD43DocAHBfF28Mjaw6TbGovBIp634GALTXFeOcxQuXyirx1dFcfHW0Kgxq1RL6tfHHoOgADI4OxODoQIT4NDx0CCFQYrIiv9R0JbyUXAkzF+toLzXXdXuMKybfHMPgQ0RELZLiS10pKSlITk5G//79MXDgQCxYsAClpaW2s7zGjRuH1q1bIzU1FQDwyiuvYMaMGVi5ciWio6ORk5MDAPD29oa3t7di3wMQqKiZ8akOPmVnNkM2F6FUG4YsjzgMjTRgRPuqg56FbMUzSz5FTqkPoi2/4dP8yZAAHNO0wyFtV/zkPQCHVB2Rb/XA7jOXsfvMZczffgoA0CHIC4OjAzAoOhDB3jq74HLRNjtzJdCYLPJ1fxutWkKwlx7B3joEe+kQ7K1HkJcOwd46tPLU/fEHEBERNUOKB5/Ro0cjPz8fM2bMQE5ODvr06YNNmzbZDnjOzs62u/T1okWLYDab8X//9392nzNz5kzMmjWrKUuvpVyqCjw1S12lmasBAAe9RsCg1WBM56pgVpH9M/734Qx8WPIAIAEv+WxDxM3PoiI7HX2z09Hr8nqgfD0EgLOqMKRru+CQtivS9T1xQtUaJy6W4sTFUizf/1uDa/PQqBDspUGQpxbBnhoEeVU/e2oQ7KFBKy9N1WsPNYI9tfDV1ZwNJgBRcz2gqmeNN6/jQ0RELZPiwQcAJk2adM2lrW3bttm9Pn36tOsLcsRVS12eGi1kcwnKTn0NAEj3GYm723vCRzIhd81LyNs0H8/7pELWqvG3sFKMTVkJ6aqbmVqM+ajITkdFdjr8stPR8Uw67rqwAyiRYZS88JO2Mw5puiJd2xUVkh4BchECZCMCRREC5CIEykYEXP2zXARPmOosu9bXAJBX/RCQIEsaCEkNWaWGkDSQJTW6PJ8Gr+g+zh0/IiKiJtAsgs8NQci2pS4PjRZlp76CsJTjojYaFX59cFvpjzj53COozD+FTw1JOKLtCF+9Cu88PNIu9ACAxjcY3j3ugGe3YTCbzTCbzTCVGlFyLhPy+V8Rm3caXS6dw8iiH2AVoiqQqNQQkhpC0kGWQiFUrSFLalyW1LhkF17UV8KMpIH4fZtKAyGpIEsa4Bo3To0oLYeXyweUiIjI+Rh8nEagHNVLXRodCjM+BQD85HM37ji5EDmfVF1E8XJgN7xteASoBF7+UxeUX7qAb/dnobi4GGazGZWVlTCZTDCbzbBYLNfYVyTgHQk08SFNKpUKKpUK2tCOTbtjIiIiJ2HwcRIhrjq4Wa1C2dnt0ALIt7ZF/I+TAbUWgcMew8uWe1F0OB8dfSVojmzFxp+vFW6uUKvV0Ol0dT40Gg1UKhXUarUtmNT8rFarr9n++7a6tv/+mdcXIiKilo7Bx2kEKqqHMyDvZ2itxTBJXuj+y1r43/wAivtNwEdHLmH14XxIEBjpnQPZaoG3tzfatWuHkJCQa4Ybtbp5HEwshAUQZkDSQ5KaR01ERKScHTt24LXXXsOBAwdw4cIFrF271nZ5GqBqUmDmzJlYsmQJCgsLMXjwYCxatAgdOyq3csDg4yxCoFzSQCVkeP7wHqACsg2xuH3Kuzh8pgB7fjyIt86FA9BiWJAZI+N72AKPIzMpQi6D1ZoLIZcAwgQhzIAwX3mGuXabqLT1FcIM1NnnyrOAfRtQdVq8X/gaaLTtnDp8RETU8pSWlqJ379548MEH8be//a3W9ldffRVvvfUWli9fjpiYGEyfPh2JiYk4evToNe+44GoMPk6i8Y2C1SMEfzt9CDAUAQAqAgbi8JkCHDx4EGmFvsir1CLYS4vVkxMRUM+1cIQwQ7bkQbbmQLbkwGrNhWzNhWy58ixEcVN9tToK/OO7whMRkWOEEDDVfx1Zl9GrcV3/ZzwpKQlJSUl1bhNCYMGCBXjhhRdw9913AwA+/vhjhIaGYt26dbj33nudUvP1YvBxEo13BCo13hhQeAY+bS4DAjB5dMPBgweRa9Zga3EAAIH/d3cPu9AjhAUVxStRafr5SqiRCxq0T0nyhqTygyTpAEl31bMekLSQrm7D7/tcea76WQ8J2uplrCvPVz5LD6DmNS9gSETkKiYrkLw5X5F9L08MhsFJySArKws5OTl2NxH38/NDXFwcdu3axeBzIzDJFnSSy+ElCmGRdDj3WxkkAXxREQ2T1Yw7OgVhTGxrW38hBEoL5sBU+lXtD5P0UKlDoVaHQaUJhUodetVzGNTqUEgqnlRORETNU82dFWouSFwjNDTUtk0JDD5OJMwV8AwIBZCD87qe0MpW7PPohqOnSxDoqcVHo/vYphCFECgrXABT6VcQQoIlfxT03l1gCImG3i+yeiaHZ1EREbkbvbpq5kWpfd/oGHycqE1xDlC9jHVR3Q6/lnngk9MlAIAPRvVGaz8PW9+yyx+iomQFAODSd39HSWbf6i150PoWwauNLzzb+MIr0heerX2g8dA26XchIiJlSJLktOUmJYWFhQEAcnNzER4ebmvPzc1Fnz59FKqKwcdphBCINuZC42UGBFAs++OTi0EQAphwUxRG9qj6R5ctMi4d/RAq//cAAAU//AVy6TC06u+Nst+MKM8tQaXRhMKj+Sg8emWNVx/kCa+aINTGF57h3lBpnR/NhRCALCCufljt27S+eqg0dV/VmYiICABiYmIQFhaGtLQ0W9AxGo3Ys2cPHn30UcXqYvBxEouQEVleCL13GSCAvYW+uFwpoUuIN+aP6A4hBC4fzkPBsTXwv+ljAEDx0UQEdXsEvhYdoFVBldQRskZC+flilJ41ovS3IpT+VgxzQTlMF8tguliGgvTqdVGVBM9wb2j99ID1d0FFriO81AowMoS1dl+Ier5ktW5T4uAR1sSXjSYiomanpKQEJ06csL3OyspCeno6AgMDERUVhccffxyzZ89Gx44dbaezR0RE2F3rp6kx+DiJyWpBm4pCeKAUAPBTSQAA4O2RPWD+tQDZ205DqPch5E+fQJIEROmfEZUwEyKjGOJs1XusWaWQor3g1ckH3tH+ts+2lJpR+psRpb8ZUXa26tlSWomyc8XAuSY6rV0lQap+CNGAdERERDe8/fv3Y+jQobbXKSkpAIDk5GQsW7YMzzzzDEpLS/Hwww+jsLAQN998MzZt2qTYNXwABh+nqZStaFNeCC+5KoicqWwFD7WEwPXHcaqgAvrwLIT++RNIahlaw53wiZwFkWOCOF0VehCgBS5XQmSVwnqmKgCpOvpA8lBD46WDX+cg+HUOAlC1HGUurEDZb0ZYKyx2oaTqobrSpr7SXrtfdZu6jrbfv+aB1kRE9DtDhgyp9/8MS5KEl156CS+99FITVlU/Bh8nsQgZAaICGlQCAPKtAegjAXrvQ/Dudxie7TIgqSzQGm6GT/BLgElAPlQIAJA6eEPdww9yvgnyL0bgkhniVCmsp6sDUCcfSIYrx/NIkgR9gAf0AR51lUJERETXwODjJBZZhlanB1CGAhGASmgxtN8OhA761tZHqx8In6B5ANSQD14CzDLgq4Wqqy8AQBWshxQUBHHRBPlYMVBwVQCK8Yaqo7ddACIiIqLrw+DjJFYhQ633AHAZOZaq43sGRZ2EpGoFvWcCdF53QKPrBUlSQT5VApFnAlSAun8AJPWVZSRJkiAFGyAF6SHyTZB/qQ5AJ0uqA5BXVQByh4stEBERORmDj5NYZBmSXg8AyLX4Q6eyoH+ECQGtN0CSrgyzMFZCzqi6l5equx/KKs7hUvouCFmGISAMHoHhMASEQ+vlD1WIAVKwHiKvegnsciXEiZKqg6DbeUHVoeEBqOo0dQDVZ3b9/llYUWc7qtvFVe2/X3ojIiJqKRh8nKRStkLWVB1zUyb06Bt2Dv7+f7YPPVYB6/7LgAxUepbh1L4PUZZ3us7PU2n1MASEwyMgHIbAMBgiwuEZEQ7NbxqgyALxa3UAaqUHxNXBBHUHGNmJX7atF8DgQ0RELRCDj5NYTGUwG1oBAMxCi/5hv0Hv/W+7PuaD56A2SrDIZfjl+NuwyCWQVBoEdOgHnU8gKi7noOLyBVQU5kGuNKEs73TtYCRJaBU4AKFeN0NvCYDIrbjuWgUEBKwQkKufr/wswwohLFU/CwsELBCi+mdhgSws8K8YAINfmKNDRUREpBgGHyeRKytg0VYd22OGFjGt/KHWVN2QtCTnFC7+sB2tVQmAJOHMpbVQ+3girEcSgroOhtbT1/6zrBaYivJRcfk8yguqw9DlC6i4nAOruRyXLu3FpUt74WNoD53a/0oowZVwcuW50u61LCxo7PSPr6p3o95PRESkFAYfJ5GtlZDVWsAKVAoNugS1QWV5Mc79+DmKjx9H++D7IEkqFKtOI/xPf4FPmy6QpLpv+6BSa+ARGA6PwHAEtL/SLoRAZVkRKgqqQlD55QuQKyugllSQJFXVtXZU6qqfVSpAkq76WV11XR5JBdT0V1X/rFJdaa/5+eq237Xr/ZS5eR4REVFjMfg4iZCrLiQIa9VSV6i1BIc/eR5Bur7oHPYvqCQNhKcE/9vjITl4nytJkqDz8ofOyx++kV2d/A2IiIhufAw+TiJkCyzVN7oyCw30xw+hvd94eOkjAQBSmAHqPv4Ohx4iIiJqPP4VdhJhtaBStgAAJLUaHbxGV4UejQRV3wCo4gJ5CjgREd1QduzYgREjRiAiIgKSJGHdunV227/44gvceeedaNWqFSRJQnp6uiJ1Xo3Bx0mEbIVFmAEAOq0KHlInQCNBfXsIVFGevNcVERHdcEpLS9G7d28sXLjwmttvvvlmvPLKK01c2bVxqctZrBYAVcFHo1FBglR1gUFPDjERETWcEAJlZqsi+/bUqa/r/6gnJSUhKSnpmtvvv/9+AMDp06cbW5rT8K+yk8jWSqiqg4+k0gJaCVJ7b4WrIiKilqbMbIXP898osu/iOUnw0t/Y0YBLXU4iKq1Qi6o7s0sqLaQYL0haDi8REVFzcmPHuqZksUIlqg5uVklaSEF6hQsiIqKWyFOnRvGcay8fuXrfNzoGHycRlTLUqAo+apUGUoBO4YqIiKglkiTphl9uUhLXYpyl0gp19VldarWOy1xERETNECOlk2hkCRpUHeOj1XCZi4iIbnwlJSU4ceKE7XVWVhbS09MRGBiIqKgoFBQUIDs7G+fPnwcAZGZmAgDCwsIQFqbMza45LeEkHdvFQSNqgo+HwtUQERG53v79+xEbG4vY2FgAQEpKCmJjYzFjxgwAwJdffonY2FgMHz4cAHDvvfciNjYWixcvVqxmzvg4iSwEtNUzPno9gw8REd34hgwZAiHENbc/8MADeOCBB5quoAbgjI+TVJpN0FQf3Kz38FK4GiIiIqoLg4+TWM0m24yPwcDgQ0RE1Bwx+DiJtdJ8Jfh4eipcDREREdWFwcdJ1N5a6KSq4OPl6aNwNURERFQXBh8nkVVXDm728OQ9uoiIiJojBh8nqaysgFaqupuulwdnfIiIiJojBh8nqTSX2H72NjD4EBERNUcMPk5SbjHbfvb24FIXERFRc8Tg4yTWq67W7MXgQ0RE1Cwx+DhJRWWF7WedhhfEJiIiao4YfJzEZDIBACqFGho1h5WIiG58O3bswIgRIxAREQFJkrBu3TrbtsrKSjz77LPo2bMnvLy8EBERgXHjxtluWKoU/oV2ElP1NXysUCtcCRERUdMoLS1F7969sXDhwlrbysrKcPDgQUyfPh0HDx7EF198gczMTNx1110KVHoF12ScpLL6zuxWwSxJRESOE0JAWMoU2bek8YQkSQ3un5SUhKSkpDq3+fn5YcuWLXZt77zzDgYOHIjs7GxERUU1qlZHMfg4iSyqruFj4YwPERE1grCU4czCAEX23XbiZUha191vsqioCJIkwd/f32X7+COcnnASqfq4HplDSkREVEtFRQWeffZZjBkzBr6+vorVwRkfJ9GogwEAVg4pERE1gqTxRNuJlxXbtytUVlZi1KhREEJg0aJFLtlHQ/GvtJP4a2UAgJC41EVERI6TJMmly01NrSb0nDlzBt9++62isz0Al7qcpmuwHgAQ7OOatExERNTS1ISeX3/9FVu3bkWrVq2ULokzPs6iVasgaTyh0TH4EBGReygpKcGJEydsr7OyspCeno7AwECEh4fj//7v/3Dw4EF8/fXXsFqtyMnJAQAEBgZCp9MpUjODj5MYwuMQPalQ6TKIiIiazP79+zF06FDb65SUFABAcnIyZs2ahS+//BIA0KdPH7v3fffddxgyZEhTlWmHwYeIiIgcMmTIEAghrrm9vm1K4TE+RERE5DYYfIiIiMhtNIvgs3DhQkRHR8NgMCAuLg579+6tt/+nn36KLl26wGAwoGfPnti4cWMTVUpEREQtmeLBZ/Xq1UhJScHMmTNx8OBB9O7dG4mJicjLy6uz/48//ogxY8bgoYcewqFDhzBy5EiMHDkSGRkZTVw5ERERtTSSUPjIo7i4OAwYMADvvPMOAECWZURGRuLf//43pk6dWqv/6NGjUVpaiq+//trWdtNNN6FPnz5YvHhxrf4mkwkmk8n22mg0IjIyEkVFRYpfRImIiKiiogJZWVmIjo6Gh4eH0uUoqry8HKdPn0ZMTAwMBoPdNqPRCD8/v0b//VZ0xsdsNuPAgQNISEiwtalUKiQkJGDXrl11vmfXrl12/QEgMTHxmv1TU1Ph5+dne0RGRjrvCxARETWSWl11xX+z2axwJcqrGYOaMXEFRU9nv3jxIqxWK0JDQ+3aQ0ND8csvv9T5npycnDr711wU6femTZtmu64AcGXGh4iIqDnQaDTw9PREfn4+tFotVCrFj0JRhCzLyM/Ph6enJzQa18WTG/46Pnq9Hnq9XukyiIiI6iRJEsLDw5GVlYUzZ84oXY6iVCoVoqKiIEmSy/ahaPAJCgqCWq1Gbm6uXXtubi7CwsLqfE9YWNh19SciImrudDodOnbs6PbLXTqdzuUzXooGH51Oh379+iEtLQ0jR44EUDXVlZaWhkmTJtX5nvj4eKSlpeHxxx+3tW3ZsgXx8fFNUDEREZFrqFSqWgf0kvMpvtSVkpKC5ORk9O/fHwMHDsSCBQtQWlqK8ePHAwDGjRuH1q1bIzU1FQAwZcoU3HbbbXjjjTcwfPhwrFq1Cvv378f777+v5NcgIiKiFkDx4DN69Gjk5+djxowZyMnJQZ8+fbBp0ybbAczZ2dl2016DBg3CypUr8cILL+C5555Dx44dsW7dOvTo0UOpr0BEREQthOLX8WlqzroOABERETUdZ/39VnzGp6nV5Dyj0ahwJURERNRQNX+3Gztf43bBp7i4GAB4LR8iIqIWqLi4GH5+fg6/3+2WumRZxvnz5+Hj4+P06wTUXBzx7NmzXEZrAhzvpsOxbloc76bF8W5ajo63EALFxcWIiIho1Cnvbjfjo1Kp0KZNG5fuw9fXl788TYjj3XQ41k2L4920ON5Ny5HxbsxMTw33vC42ERERuSUGHyIiInIbDD5OpNfrMXPmTN4brIlwvJsOx7ppcbybFse7aSk93m53cDMRERG5L874EBERkdtg8CEiIiK3weBDREREboPBh4iIiNwGg4+TLFy4ENHR0TAYDIiLi8PevXuVLqnZ2bFjB0aMGIGIiAhIkoR169bZbRdCYMaMGQgPD4eHhwcSEhLw66+/2vUpKCjA2LFj4evrC39/fzz00EMoKSmx6/Pzzz/jlltugcFgQGRkJF599dVatXz66afo0qULDAYDevbsiY0bNzr9+yopNTUVAwYMgI+PD0JCQjBy5EhkZmba9amoqMDEiRPRqlUreHt74+9//ztyc3Pt+mRnZ2P48OHw9PRESEgInn76aVgsFrs+27ZtQ9++faHX69GhQwcsW7asVj03+u/HokWL0KtXL9sF2eLj4/HNN9/YtnOsXWvevHmQJAmPP/64rY1j7jyzZs2CJEl2jy5duti2t7ixFtRoq1atEjqdTnz00UfiyJEjYsKECcLf31/k5uYqXVqzsnHjRvH888+LL774QgAQa9eutds+b9484efnJ9atWyd++ukncdddd4mYmBhRXl5u6/OnP/1J9O7dW+zevVt8//33okOHDmLMmDG27UVFRSI0NFSMHTtWZGRkiP/+97/Cw8NDvPfee7Y+P/zwg1Cr1eLVV18VR48eFS+88ILQarXi8OHDLh+DppKYmCiWLl0qMjIyRHp6uvjzn/8soqKiRElJia3PI488IiIjI0VaWprYv3+/uOmmm8SgQYNs2y0Wi+jRo4dISEgQhw4dEhs3bhRBQUFi2rRptj6nTp0Snp6eIiUlRRw9elS8/fbbQq1Wi02bNtn6uMPvx5dffik2bNggjh8/LjIzM8Vzzz0ntFqtyMjIEEJwrF1p7969Ijo6WvTq1UtMmTLF1s4xd56ZM2eK7t27iwsXLtge+fn5tu0tbawZfJxg4MCBYuLEibbXVqtVREREiNTUVAWrat5+H3xkWRZhYWHitddes7UVFhYKvV4v/vvf/wohhDh69KgAIPbt22fr88033whJksS5c+eEEEK8++67IiAgQJhMJlufZ599VnTu3Nn2etSoUWL48OF29cTFxYl//etfTv2OzUleXp4AILZv3y6EqBpbrVYrPv30U1ufY8eOCQBi165dQoiqoKpSqUROTo6tz6JFi4Svr69tfJ955hnRvXt3u32NHj1aJCYm2l676+9HQECA+OCDDzjWLlRcXCw6duwotmzZIm677TZb8OGYO9fMmTNF796969zWEseaS12NZDabceDAASQkJNjaVCoVEhISsGvXLgUra1mysrKQk5NjN45+fn6Ii4uzjeOuXbvg7++P/v372/okJCRApVJhz549tj633nordDqdrU9iYiIyMzNx+fJlW5+r91PT50b+9yoqKgIABAYGAgAOHDiAyspKu3Ho0qULoqKi7Ma7Z8+eCA0NtfVJTEyE0WjEkSNHbH3qG0t3/P2wWq1YtWoVSktLER8fz7F2oYkTJ2L48OG1xoVj7ny//vorIiIi0K5dO4wdOxbZ2dkAWuZYM/g00sWLF2G1Wu3+QQEgNDQUOTk5ClXV8tSMVX3jmJOTg5CQELvtGo0GgYGBdn3q+oyr93GtPjfqv5csy3j88ccxePBg9OjRA0DVGOh0Ovj7+9v1/f14OzqWRqMR5eXlbvX7cfjwYXh7e0Ov1+ORRx7B2rVr0a1bN461i6xatQoHDx5EampqrW0cc+eKi4vDsmXLsGnTJixatAhZWVm45ZZbUFxc3CLH2u3uzk7kbiZOnIiMjAzs3LlT6VJuaJ07d0Z6ejqKiorw2WefITk5Gdu3b1e6rBvS2bNnMWXKFGzZsgUGg0Hpcm54SUlJtp979eqFuLg4tG3bFmvWrIGHh4eClTmGMz6NFBQUBLVaXesI9tzcXISFhSlUVctTM1b1jWNYWBjy8vLstlssFhQUFNj1qeszrt7HtfrciP9ekyZNwtdff43vvvsObdq0sbWHhYXBbDajsLDQrv/vx9vRsfT19YWHh4db/X7odDp06NAB/fr1Q2pqKnr37o0333yTY+0CBw4cQF5eHvr27QuNRgONRoPt27fjrbfegkajQWhoKMfchfz9/dGpUyecOHGiRf73zeDTSDqdDv369UNaWpqtTZZlpKWlIT4+XsHKWpaYmBiEhYXZjaPRaMSePXts4xgfH4/CwkIcOHDA1ufbb7+FLMuIi4uz9dmxYwcqKyttfbZs2YLOnTsjICDA1ufq/dT0uZH+vYQQmDRpEtauXYtvv/0WMTExdtv79esHrVZrNw6ZmZnIzs62G+/Dhw/bhc0tW7bA19cX3bp1s/Wpbyzd+fdDlmWYTCaOtQsMGzYMhw8fRnp6uu3Rv39/jB071vYzx9x1SkpKcPLkSYSHh7fM/76v61BoqtOqVauEXq8Xy5YtE0ePHhUPP/yw8Pf3tzuCnarOwDh06JA4dOiQACDmz58vDh06JM6cOSOEqDqd3d/fX6xfv178/PPP4u67767zdPbY2FixZ88esXPnTtGxY0e709kLCwtFaGiouP/++0VGRoZYtWqV8PT0rHU6u0ajEa+//ro4duyYmDlz5g13Ovujjz4q/Pz8xLZt2+xOQS0rK7P1eeSRR0RUVJT49ttvxf79+0V8fLyIj4+3ba85BfXOO+8U6enpYtOmTSI4OLjOU1CffvppcezYMbFw4cI6T0G90X8/pk6dKrZv3y6ysrLEzz//LKZOnSokSRL/+9//hBAc66Zw9VldQnDMnenJJ58U27ZtE1lZWeKHH34QCQkJIigoSOTl5QkhWt5YM/g4ydtvvy2ioqKETqcTAwcOFLt371a6pGbnu+++EwBqPZKTk4UQVae0T58+XYSGhgq9Xi+GDRsmMjMz7T7j0qVLYsyYMcLb21v4+vqK8ePHi+LiYrs+P/30k7j55puFXq8XrVu3FvPmzatVy5o1a0SnTp2ETqcT3bt3Fxs2bHDZ91ZCXeMMQCxdutTWp7y8XDz22GMiICBAeHp6ir/+9a/iwoULdp9z+vRpkZSUJDw8PERQUJB48sknRWVlpV2f7777TvTp00fodDrRrl07u33UuNF/Px588EHRtm1bodPpRHBwsBg2bJgt9AjBsW4Kvw8+HHPnGT16tAgPDxc6nU60bt1ajB49Wpw4ccK2vaWNtSSEENc3R0RERETUMvEYHyIiInIbDD5ERETkNhh8iIiIyG0w+BAREZHbYPAhIiIit8HgQ0RERG6DwYeIiIjcBoMPERERuQ0GHyK6IS1btgz+/v7X9R5JkrBu3TqX1ENEzQODDxFRtQsXLiApKQkAcPr0aUiShPT0dGWLIiKn0ihdABFRcxEWFqZ0CUTkYpzxISJFyLKM1NRUxMTEwMPDA71798Znn30GIQQSEhKQmJiImlsJFhQUoE2bNpgxYwYAYNu2bZAkCRs2bECvXr1gMBhw0003ISMjo959Llq0CO3bt4dOp0Pnzp3xySef2G2/eqkrJiYGABAbGwtJkjBkyBDnDgARKYLBh4gUkZqaio8//hiLFy/GkSNH8MQTT+C+++7Djh07sHz5cuzbtw9vvfUWAOCRRx5B69atbcGnxtNPP4033ngD+/btQ3BwMEaMGIHKyso697d27VpMmTIFTz75JDIyMvCvf/0L48ePx3fffVdn/7179wIAtm7digsXLuCLL75w4rcnIqVwqYuImpzJZMLcuXOxdetWxMfHAwDatWuHnTt34r333sPKlSvx3nvvYdy4ccjJycHGjRtx6NAhaDT2/5M1c+ZM3HHHHQCA5cuXo02bNli7di1GjRpVa5+vv/46HnjgATz22GMAgJSUFOzevRuvv/46hg4dWqt/cHAwAKBVq1ZcAiO6gTD4EFGTO3HiBMrKymyhpYbZbEZsbCwA4J577sHatWsxb948LFq0CB07dqz1OTWhCQACAwPRuXNnHDt2rM59Hjt2DA8//LBd2+DBg/Hmm2829usQUQvC4ENETa6kpAQAsGHDBrRu3dpum16vBwCUlZXhwIEDUKvV+PXXX5u8RiK6MfEYHyJqct26dYNer0d2djY6dOhg94iMjAQAPPnkk1CpVPjmm2/w1ltv4dtvv631Obt377b9fPnyZRw/fhxdu3atc59du3bFDz/8YNf2ww8/oFu3bnX21+l0AACr1erQdySi5okzPkTU5Hx8fPDUU0/hiSeegCzLuPnmm1FUVIQffvgBvr6+CAoKwkcffYRdu3ahb9++ePrpp5GcnIyff/4ZAQEBts956aWX0KpVK4SGhuL5559HUFAQRo4cWec+n376aYwaNQqxsbFISEjAV199hS+++AJbt26ts39ISAg8PDywadMmtGnTBgaDAX5+fq4YDiJqSoKISAGyLIsFCxaIzp07C61WK4KDg0ViYqLYtm2bCA0NFXPnzrX1NZvNol+/fmLUqFFCCCG+++47AUB89dVXonv37kKn04mBAweKn376yfaepUuXCj8/P7t9vvvuu6Jdu3ZCq9WKTp06iY8//thuOwCxdu1a2+slS5aIyMhIoVKpxG233eb0MSCipicJUX2hDCKiFmLbtm0YOnQoLl++fN23pSAi98ZjfIiIiMhtMPgQERGR2+BSFxEREbkNzvgQERGR22DwISIiIrfB4ENERERug8GHiIiI3AaDDxEREbkNBh8iIiJyGww+RERE5DYYfIiIiMht/H/m1AT6gvgktAAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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us3jxYvzoRz/Cj3/8YwDA6NGj0dTUhKuuugo333wzFKV1VvP5fPD5+uctdURERNR5rvXceL1eTJgwAWvXrrXLDMPA2rVr2/xeiubm5lYBRlVVAOZ3cRARERG5erdUZWUl5s6di4kTJ+Kcc87B8uXL0dTUZN89NWfOHAwbNgxLly4FYH4D6f3334/x48dj0qRJ2LlzJxYvXoxZs2bZIYeIiIiOb66Gm0suuQSHDx/GrbfeiurqaowbNw6vvPKKPch47969cT01t9xyC4QQuOWWW7B//34MHjwYs2bNwpIl7jymmoiIiPoeIY+z6zn19fUoKChAXV0d8vPz3W4OEREd5wKBAKqqqlBRUQG/3+92c1zV3rnozOd3v7pbioiIiKgjDDdERESUURhuiIiIqNuWLVsGIQQWLFjgdlMYboiIiKh73n77bfzud7/DmDFj3G4KAIYbIiIi6obGxkbMnj0bq1evxoABA9xuDgCXbwUnIiKieFJKyFCzK8cW3mwIITq1zfz583HRRRdh+vTpuOuuu3qoZZ3DcENERNSHyFAzProq15Vjj3iwEcKXk3L9xx9/HO+88w7efvvtHmxV5zHcEBERUaft27cP119/PV599dU+93wehhsiIqI+RHizMeLBRteOnaotW7bg0KFDOOuss+wyXdfx5ptv4oEHHkAwGHTtq5EYboiIiPoQIUSnLg255cILL8S2bdviyubNm4cRI0bgpptucvU7HxluiIiIqNPy8vIwatSouLKcnBwMGjSoVXlv463gRERElFHYc0NERERpsW7dOrebAIA9N0RERJRhGG6IiIgoozDcEBERUUZhuCEiIqKMwnBDREREGYXhhoiIiDIKww0RERFlFIYbIiIiyigMN0RERJRRGG6IiIgoozDcEBERUafdfvvt5jeYO14jRoxwu1kA+N1SRERE1EVnnnkm/v73v9vLmtY3YkXfaAUREREBAKSUMMKGK8dWPAqEECnX1zQNJSUlPdiirmG4ISIi6kOMsIGtt61z5djj7pgG1aumXP+TTz5BaWkp/H4/Jk+ejKVLl6K8vLznGpgijrkhIiKiTps0aRIeeeQRvPLKK1i5ciWqqqrwxS9+EQ0NDW43jT03REREfYniUTDujmmuHTtVM2fOtOfHjBmDSZMm4cQTT8STTz6JK664oiealzKGGyIioj5ECNGpS0N9RWFhIU477TTs3LnT7abwshQRERF1X2NjI3bt2oWhQ4e63RSGGyIiIuq8n/3sZ3jjjTewe/du/POf/8Q3v/lNqKqKSy+91O2m8bIUERERdd5nn32GSy+9FEePHsXgwYNx7rnnYuPGjRg8eLDbTWO4ISIios57/PHH3W5Cm3hZioiIiDIKww0RERFlFIYbIiIiyigMN0RERJRRGG6IiIgoozDcEBERUUZhuCEiIqKMwnBDREREGYXhhoiIiDIKww0RERFlFIYbIiIi6pL9+/fjhz/8IQYNGoSsrCyMHj0amzdvdrtZ/G4pIiIi6rza2lpMnToV559/Pl5++WUMHjwYn3zyCQYMGOB20xhuiIiI+hIpJYxIyJVjK5oXQoiU6t5zzz0oKyvDww8/bJdVVFT0VNM6heGGiIioDzEiIbyz8mpXjn3W1Suhenwp1X3++ecxY8YMfPe738Ubb7yBYcOG4ac//SmuvPLKHm5lxzjmhoiIiDrt008/xcqVK3HqqadizZo1uPrqq3Hdddfhj3/8o9tNY88NERFRX6JoXpx19UrXjp0qwzAwceJE3H333QCA8ePHY/v27Vi1ahXmzp3bU01MCcMNERFRHyKESPnSkJuGDh2KkSNHxpWdccYZ+Otf/+pSi2J4WYqIiIg6berUqdixY0dc2ccff4wTTzzRpRbFMNwQERFRp91www3YuHEj7r77buzcuROPPfYYHnzwQcyfP9/tpjHcEBERUeedffbZeOaZZ/CXv/wFo0aNwp133only5dj9uzZbjeNY26IiIioa772ta/ha1/7mtvNaIU9N0RERJRRGG6IiIgoozDcEBERUUbpUrh5+OGH0dzcnO62EBEREXVbl8LNwoULUVJSgiuuuAL//Oc/090mIiIioi7rUrjZv38//vjHP+LIkSOYNm0aRowYgXvuuQfV1dXpbh8RERFRp3Qp3Giahm9+85t47rnnsG/fPlx55ZV49NFHUV5ejq9//et47rnnYBhGuttKRERE1KFuDyguLi7Gueeei8mTJ0NRFGzbtg1z587FySefjHXr1nW4/YoVKzB8+HD4/X5MmjQJb731Vrv1jx07hvnz52Po0KHw+Xw47bTT8NJLL3X3bRAREVGG6HK4OXjwIH71q1/hzDPPxLRp01BfX48XXngBVVVV2L9/P773ve91+K2gTzzxBCorK3HbbbfhnXfewdixYzFjxgwcOnQoaf1QKIQvf/nL2L17N/7nf/4HO3bswOrVqzFs2LCuvg0iIiLKMEJKKTu70axZs7BmzRqcdtpp+PGPf4w5c+Zg4MCBcXUOHTqEkpKSdi9PTZo0CWeffTYeeOABAObXp5eVleHaa6/FwoULW9VftWoV7r33Xnz00UfweDwptTUYDCIYDNrL9fX1KCsrQ11dHfLz81PaBxERUU8JBAKoqqpCRUUF/H6/281xVXvnor6+HgUFBSl9fnep52bIkCF44403sH37dixYsKBVsAGAwYMHo6qqqs19hEIhbNmyBdOnT481RlEwffp0bNiwIek2zz//PCZPnoz58+ejuLgYo0aNwt133w1d19s8ztKlS1FQUGC/ysrKOvFOiYiIKJnhw4dDCNHq1Re+OLNL3y31hz/8ocM6Qoh2v/b8yJEj0HUdxcXFceXFxcX46KOPkm7z6aef4rXXXsPs2bPx0ksvYefOnfjpT3+KcDiM2267Lek2ixYtQmVlpb0c7bkhIiKirnv77bfjOhe2b9+OL3/5y/jud7/rYqtMXQo31113HU455RRcd911ceUPPPAAdu7cieXLl6ejba0YhoEhQ4bgwQcfhKqqmDBhAvbv34977723zXDj8/ng8/l6pD1ERETpJqUE9E6PGEkP1ex9ScXgwYPjlpctW4aTTz4ZX/rSl3qiZZ3SpXDz17/+Fc8//3yr8ilTpmDZsmUphZuioiKoqoqDBw/GlR88eBAlJSVJtxk6dCg8Hg9UVbXLzjjjDFRXVyMUCsHr9XbujRAREfU1uoT+wgFXDq1+bSigpRZunEKhEP785z+jsrIy5XDUk7o05ubo0aMoKChoVZ6fn48jR46ktA+v14sJEyZg7dq1dplhGFi7di0mT56cdJupU6di586dcYOUP/74YwwdOpTBhoiIyCXPPvssjh07hssuu8ztpgDoYs/NKaecgldeeQXXXHNNXPnLL7+Mk046KeX9VFZWYu7cuZg4cSLOOeccLF++HE1NTZg3bx4AYM6cORg2bBiWLl0KALj66qvxwAMP4Prrr8e1116LTz75BHfffXery2NERET9lirMHhSXjt0Vf/jDHzBz5kyUlpamuUFd06VwU1lZiWuuuQaHDx/GBRdcAABYu3Yt7rvvvk6Nt7nkkktw+PBh3Hrrraiursa4cePwyiuv2IOM9+7dC0WJdS6VlZVhzZo1uOGGGzBmzBgMGzYM119/PW666aauvA0iIqI+RwjRpUtDbtmzZw/+/ve/4+mnn3a7KbYuPecGAFauXIklS5bg888/B2DeEnb77bdjzpw5aW1gunXmPnkiIqKe1t+fc3P77bfjd7/7Hfbt2wdN61KfiS1dz7npciuuvvpqXH311Th8+DCysrKQm5vb1V0RERFRP2QYBh5++GHMnTu328EmnbrdksRbwYiIiOj48Pe//x179+7F5Zdf7nZT4nTpbqmDBw/iRz/6EUpLS6FpGlRVjXsRERFR5vvKV74CKSVOO+00t5sSp0s9N5dddhn27t2LxYsXY+jQoX3innYiIiIioIvhZv369fi///s/jBs3Ls3NISIiIuqeLl2WKisrQxdvsiIiIiLqUV0KN8uXL8fChQuxe/fuNDeHiIiIqHu6dFnqkksuQXNzM04++WRkZ2fD4/HEra+pqUlL44iIiIg6q0vhpqe+9ZuIiIiou7oUbubOnZvudhARERGlRZfG3ADArl27cMstt+DSSy/FoUOHAJhfnPn++++nrXFEREREndWlcPPGG29g9OjR2LRpE55++mk0NjYCAN577z3cdtttaW0gERERUWd0KdwsXLgQd911F1599VV4vV67/IILLsDGjRvT1jgiIiKizupSuNm2bRu++c1vtiofMmQIjhw50u1GERERUd+m6zoWL16MiooKZGVl4eSTT8add97ZJ56D16UBxYWFhThw4AAqKiriyt99910MGzYsLQ0jIiKivuuee+7BypUr8cc//hFnnnkmNm/ejHnz5qGgoADXXXedq23rUrj5/ve/j5tuuglPPfUUhBAwDAP/+Mc/8LOf/Qxz5sxJdxuJiIiOG1JKRCIRV46taVrK3xf5z3/+E9/4xjdw0UUXAQCGDx+Ov/zlL3jrrbd6sokp6VK4ufvuuzF//nyUlZVB13WMHDkSuq7jBz/4AW655ZZ0t5GIiOi4EYlE8OCDD7py7KuuuqrVg3nbMmXKFDz44IP4+OOPcdppp+G9997D+vXrcf/99/dwKzvWpXDj9XqxevVqLF68GNu3b0djYyPGjx+PU089Nd3tIyIioj5o4cKFqK+vx4gRI6CqKnRdx5IlSzB79my3m9a1cBNVXl6O8vLydLWFiIjouKdpGq666irXjp2qJ598Eo8++igee+wxnHnmmdi6dSsWLFiA0tJS1x/2m/K7qKysxJ133omcnBxUVla2W7cvdEkRERH1R0KIlC8NuenGG2/EwoUL8f3vfx8AMHr0aOzZswdLly7tP+Hm3XffRTgctufbkupAJCIiIuq/mpuboSjxT5RRVRWGYbjUopiUw83rr7+edJ6IiIiOP7NmzcKSJUtQXl6OM888E++++y7uv/9+XH755W43rWtjburq6qDrOgYOHBhXXlNTA03TkJ+fn5bGERERUd/029/+FosXL8ZPf/pTHDp0CKWlpfj3f/933HrrrW43rWtPKP7+97+Pxx9/vFX5k08+aV97IyIiosyVl5eH5cuXY8+ePWhpacGuXbtw1113xX0tk1u6FG42bdqE888/v1X5tGnTsGnTpm43ioiIiKiruhRugsFg0qcnhsNhtLS0dLtRRERERF3VpXBzzjnnJH164qpVqzBhwoRuN4qIiIioq7o0oPiuu+7C9OnT8d577+HCCy8EAKxduxZvv/02/vd//zetDSQiIiLqjC713EydOhUbNmxAWVkZnnzySfztb3/DKaecgn/961/44he/mO42EhEREaWsy1+/MG7cODz66KPpbAsRERFRt6Ucburr6+3n19TX17dbl8+5ISIiIrekHG4GDBiAAwcOYMiQISgsLEz6NQtSSgghoOt6WhtJRERElKqUw81rr71mP5GYX79AREREfVXK4ebXv/41xo8fj/z8fOzZsweXXHIJfD5fT7aNiIiIqNNSvlvqhRdeQFNTEwBg3rx5qKur67FGERERUd/X0NCABQsW4MQTT0RWVhamTJmCt99+2+1mpd5zM2LECCxatAjnn38+pJR48skn2xw4PGfOnLQ1kIiIiPqmH//4x9i+fTv++7//G6Wlpfjzn/+M6dOn44MPPsCwYcNca5eQUspUKv7jH//Af/zHf2DXrl2oqalBXl5e0kHFQgjU1NSkvaHpUl9fj4KCAtTV1fGuLiIicl0gEEBVVRUqKirg9/shpQRkwJ3GCH/Sz/ZkWlpakJeXh+eeew4XXXSRXT5hwgTMnDkTd911V6cPn3gunDrz+Z1yz83UqVOxceNGAICiKPj4448xZMiQTjeciIiI2iEDqPnMnQfiDjzh/wCRlVLdSCQCXddbhZCsrCysX7++J5qXspTH3HzrW9+yn2/z8MMPIy8vr8caRURERH1bXl4eJk+ejDvvvBOff/45dF3Hn//8Z2zYsAEHDhxwtW0p99xEBxTn5+fj8ssvx8yZM5GVlVq6IyIiohQJv9mD4tKxO+O///u/cfnll2PYsGFQVRVnnXUWLr30UmzZsqWHGpgaDigmIiLqQ4QQKV8actvJJ5+MN954A01NTaivr8fQoUNxySWX4KSTTnK1XSmHm1WrVqGyshIvvvgihBC45ZZb2hxQzHBDRER0/MjJyUFOTg5qa2uxZs0a/PKXv3S1PSmHmylTpnBAMREREdnWrFkDKSVOP/107Ny5EzfeeCNGjBiBefPmudqulAcUO1VVVWHHjh344Q9/iClTpmD//v0AzGtvbo+QJiIiot5RV1eH+fPnY8SIEZgzZw7OPfdcrFmzBh6Px9V2dSncbN68GTNmzEBWVhbeeecdBINBAOabvPvuu9PaQCIiIuqbvve972HXrl0IBoM4cOAAHnjgARQUFLjdrK6Fm7vuugurVq3C6tWr49LZ1KlT8c4776StcURERESd1aVws2PHDpx33nmtygsKCnDs2LHutomIiIioy7oUbkpKSrBz585W5evXr3f99i8iIiI6vnUp3Fx55ZW4/vrrsWnTJggh8Pnnn+PRRx/Fz372M1x99dXpbiMRERFRylK+Fdxp4cKFMAwDF154IZqbm3HeeefB5/PhZz/7Ga699tp0t5GIiIgoZV0KN0II3Hzzzbjxxhuxc+dONDY2YuTIkcjNzU13+4iIiIg6pUvhJsrr9WLkyJHpagsRERFRt3VpzA0RERFRX8VwQ0RERBmF4YaIiIgyCsMNERERdcmbb76JWbNmobS0FEIIPPvss3HrpZS49dZbMXToUGRlZWH69On45JNPerxdDDdERETUJU1NTRg7dixWrFiRdP0vf/lL/OY3v8GqVauwadMm5OTkYMaMGQgEAj3arm7dLUVERETpJaVEUHfn2D7VfNxLqmbOnImZM2cmXSelxPLly3HLLbfgG9/4BgDgT3/6E4qLi/Hss8/i+9//flranAzDDRERUR8S1IG5aw67cuw/zhgMf5qSQVVVFaqrqzF9+nS7rKCgAJMmTcKGDRt6NNzwshQRERGlXXV1NQCguLg4rry4uNhe11PYc0NERNSH+FSzB8WtY2eCPtFzs2LFCgwfPhx+vx+TJk3CW2+9ldJ2jz/+OIQQuPjii3u2gURERL1ECAG/5s6rM+NtOlJSUgIAOHjwYFz5wYMH7XU9xfVw88QTT6CyshK33XYb3nnnHYwdOxYzZszAoUOH2t1u9+7d+NnPfoYvfvGLvdRSIiIiSlVFRQVKSkqwdu1au6y+vh6bNm3C5MmTe/TYroeb+++/H1deeSXmzZuHkSNHYtWqVcjOzsZDDz3U5ja6rmP27Nm44447cNJJJ7W7/2AwiPr6+rgXERERdV9jYyO2bt2KrVu3AjAHEW/duhV79+6FEAILFizAXXfdheeffx7btm3DnDlzUFpa2uNXXFwNN6FQCFu2bIkbSa0oCqZPn44NGza0ud0vfvELDBkyBFdccUWHx1i6dCkKCgrsV1lZWVraTkREdLzbvHkzxo8fj/HjxwMAKisrMX78eNx6660AgJ///Oe49tprcdVVV+Hss89GY2MjXnnlFfj9/h5tl6sDio8cOQJd15OOpP7oo4+SbrN+/Xr84Q9/sFNiRxYtWoTKykp7ub6+ngGHiIgoDaZNmwYpZZvrhRD4xS9+gV/84he92Kp+drdUQ0MDfvSjH2H16tUoKipKaRufzwefz9fDLSMiIqK+wtVwU1RUBFVVUx5JvWvXLuzevRuzZs2yywzDAABomoYdO3bg5JNP7tlGExERUZ/m6pgbr9eLCRMmxI2kNgwDa9euTTqSesSIEdi2bZs9eGnr1q34+te/jvPPPx9bt27l5SYiIiJy/7JUZWUl5s6di4kTJ+Kcc87B8uXL0dTUhHnz5gEA5syZg2HDhmHp0qXw+/0YNWpU3PaFhYUA0KqciIiIjk+uh5tLLrkEhw8fxq233orq6mqMGzcOr7zyij3IeO/evVAU1+9YJyIion5CyPaGOWeg+vp6FBQUoK6uDvn5+W43h4iIjnOBQABVVVWoqKjo8Vuk+7r2zkVnPr/ZJUJEREQZheGGiIiIMgrDDREREWUUhhsiIiLKKAw3RERE1CVvvvkmZs2ahdLSUggh8Oyzz8atf/rpp/GVr3wFgwYNghAi5a9O6i6GGyIiIuqSpqYmjB07FitWrGhz/bnnnot77rmnV9vl+nNuiIiIKEZKieaQ7sqxs70qhBAp1585cyZmzpzZ5vof/ehHAIDdu3d3t2mdwnBDRETUhzSHdOTd/LIrx25YMhM5vv4fDXhZioiIiDJK/49nfYQRakDtPxbDO3gMvEVj4Ck6E4qW5XaziIion8n2qmhY0valnp4+diZguEmT0JFtqH/vv2IFQoGn8FQ77JjT0VBzh3XqeiYRER1fhBAZcWnITTx7aaL4ByH/rAUIHf4XQkf+BaPlCMK1OxCu3YGmj5+Kq+ctGu0IPaPhHTgSQvO52HoiIqLMwXCTJt6Bp2PQeb8EYI5015sOWEFnG0JH/oXQ4X8hXPsxjMBRBD5bh8Bn62IbKxo8A06P6+XxFY2BmlPszpshIiJKQWNjI3bu3GkvV1VVYevWrRg4cCDKy8tRU1ODvXv34vPPPwcA7NixAwBQUlKCkpKSHmsXvxW8FxmRAMJHP7DDjt3LEzyWtL6SPQTeojHwWZe0vIPHwDNgBITq6dV2ExFRz+nP3wq+bt06nH/++a3K586di0ceeQSPPPII5s2b12r9bbfdhttvv71Vebq+FZzhxmVSSuiNn9lBJzoN1+4EkOSfRvXCO/CM2Dgeq7dHzRrU620nIqLu68/hJt3SFW54WcplQghoeWXQ8sqQfdJFdrkRbkLoyPtxgSd0ZBtkqAGhw+8hdPg94MPYftScUnvQcjT0eApPg1AyY+Q7ERFRqhhu+ijFkwP/0HPgH3qOXSalgUj9noRenm2I1H0KvelztDR9jpbdr9j1heqHp+hMx91a1h1b/kIX3hEREVHvYLjpR4RQ4CmogKegAjmnfMMuN4L1CB3dHjeOJ3RkO2SkGaGDWxA6uCVuP2peOXyDR8eFHq3wZAjBZzoSEVH/x3CTARRfPvylU+AvnWKXSUNHpG6XebeWFXiCh7dBb9gLvWEvmhv2ovnTF+36wpMD76BRCc/lGQXFm+fGWyIiIuoyhpsMJRQVngGnwTPgNOSc+m27XA/UxgWe0OF/IXz0fchwE4LVmxCs3hS3H63gZHiL4kOPlj+cDyIkIqI+i+HmOKP6ByDrhPOQdcJ5dpk0IgjXfuwIPeZUb/ockbpdiNTtQvOu5+z6wpsf9yBC3+Ax8Aw6E4on2423REREFIfhhiAUDd5BI+EdNBI4/RK7XG85Ej94+fC/EKr5EDJUj+Dn/0Dw8384dwJP4SkJT18eAzX3BPbyEBFRr2K4oTapWUXIKr8AWeUX2GVSDyFc85H15OVtCEYfRNh8COHajxGu/RhNn/zVrq/4B5qBx/FcHs/AM6Box/ezHIiIqOcw3FCnCNVrhxSnSFN16wcR1uyAEahB4LM3EPjsDedO4Bl4eqvQo2aXsJeHiIi6jeGG0kLLKYGWU4Ls4V+xy4xIAOGaDxE6vC0u9BiBGoSPfoDw0Q/QtOMJu76SNTjuC0V9RWPgGTgCQvW68ZaIiKifYrihHqNofviGjIdvyHi7zPy6if2tvl8rfGwnjJbDCOxdi8DetY6deMyvm3A+fbloDNTswS68IyIicnrzzTdx7733YsuWLThw4ACeeeYZXHzxxQCAcDiMW265BS+99BI+/fRTFBQUYPr06Vi2bBlKS0t7tF0MN9SrzK+bOAFa3gnIrvg3u9wIN8d9qWjQmspQvfVQwn/F7UfNGWr38EQvbXkGnAah8EeaiKi3NDU1YezYsbj88svxrW99K25dc3Mz3nnnHSxevBhjx45FbW0trr/+enz961/H5s2be7Rd/CSgPkHxZMNXMhG+kol2mZTS/LoJ5/drHd6GSN0u6E0H0NJ0AC171tj1heqHZ9DIWC9P9I4t/wA33hIRUZdIKSEjza4cW2jZnRr7OHPmTMycOTPpuoKCArz66qtxZQ888ADOOecc7N27F+Xl5d1qa3sYbqjPEkLAUzAcnoLhyDn563a5EWpI/qWi4SaEDr2D0KF34vaj5pXZl7R80QcRFpzMLxUloj5JRpqxZ4U7f5SdOL8WwpPTY/uvq6uDEAKFhYU9dgyA4Yb6IcWbB3/pF+Av/YJdJqWBSN2nCc/l2YZIwx7oDfvQ0rAPLVUv2fWFlm0+edl5aatoNBRfvhtviYgo4wUCAdx000249NJLkZ/fs79rGW4oIwjrIYKewlOQc2rsuq8eOIbQkW0IH9lmj+MJW18qGqx+C8Hqt+L2o+WdCCVrEBRPDoQnB8KTDcWTC+HJgaJlm1NvLoSWA8WTDeHJTV43WsYvIyWiThJaNk6cX+vasXtCOBzG9773PUgpsXLlyh45hhPDDWU01V+IrBO+iKwTvmiXSUNH+NgnceN4Qkf+Bb1xPyINe4CGPWk7vtCyrGCUA+G1pm0EobamQsuB4rWmnhwIby6E6uczgYgylBCiRy8N9bZosNmzZw9ee+21Hu+1ARhu6DgkFBXegSPgHTgCOP17drnechThmo9ghOohw00wwk2xaaQJRshajjRBhhphRJohnXUcU0ACAGSkBTLSAgNH0v0uHAEo1+pFip83A5W1rLVVNxq0HMt8rhARpUk02HzyySd4/fXXMWjQoF45LsMNkUXNGgR12NRu78e806HFEXYaYYSbISNWAAo1QkaaHYGoETLc7KjbBBlujl9nbSsjLdGjQIYboYcbARzsdpvjKFqrYCS8uVavU3arkBTtgWoVkrRsu6fJ7rHiIG6ijNLY2IidO3fay1VVVdi6dSsGDhyIoUOH4jvf+Q7eeecdvPDCC9B1HdXV1QCAgQMHwuvtuT+kGG6I0szsUs4GPNlQkd6HDUpDdwSjZEGoyQ5SRshajjRbPU1t1LWWYYTNgxgRGKE6IFQHPa2tN2/XF/Zlt/gxS4qWbQUqKxhZY5uS1m116a5zt6+2RUoJSMN+SRiAoZvz0gBgrTN0c120njQAqScsR+ej5bJVXbuetS9pHcteTlY3br8yYV3H+3XWbb1P2cb7SKgb3U/03MC5Hz3uPLbZtrhzY8TvRyhQ1CwIzW9e2lV95tRe9kNoPntesdf5rXXWsppl1YvOW3VVP6B6eWk3DTZv3ozzzz/fXq6srAQAzJ07F7fffjuef/55AMC4cePitnv99dcxbdq0HmsXww1RPyIUFcKbB8Wbl/Z9Sz0cH5qsy25mT1OTHaTig1Gj3QMVty4SH6LMD0RA6gFIPQAEjqY5OJmBUnhyzA8uyKQhpP0gku4oR32bSAhLVhByhCPFGZacdezlWPhSWoWvtutm0o0G06ZNM8NsG9pb15MYbogIACBUD1S1EPAXpnW/UkpIPdh2ELKCVKynqQky1BS7FNdqTFNs29iDzqRdt9cIFRCK+UFlv9SEZQUCCqCosflouaIAzmXHPhL3K6yypPsUImE/CXXb2GdiXfMDVzj2m9g+NWlbW+8zejwRvx/FURcdtE3qkJGAOV5ND1jz5rLUrWkkGL+sB2AklrVaDiA6Hg6Q9pi43ibU+BClZw9H5JSFCB2TUHya9XMiHP/ewnGOzX9vIRx1rPqx8+s4946fj+Opp4rhhoh6lBDmX8jQ/FCzitK6bymN2KU2e1xSMPYh0M6HcqsA4QgMsQ8P60PZ8SF/vH1IZBIpJaCHrLATgJEYhPSWhBCVWM96OcKSWTdoLxvRfTjKZKQlrmdQ6kFIPQiE6gAAethsFyItkCIWv9JPJAQkR2iKW3YGoiQByRGg4oKxI4AJobr6dTgMN0TUbwmhQHhzAW8uOFSZOiKEADQfhOYDfAW9+jMjjUhCILJCUySIQDCI/Q05UPNOgObVEBtzJe15SOkY9+Uc0xRfJzZ2yaoTF5WiY6rspfg2pvH9Ci0b3kFnpHGPncNwQ0RE1MOEokF484Bk4+UCASgtVVB9+VD9/rQeVzpDjj3GLBaIYusTQ5RjcD1kwoBy57JMXsflcUUMN0RERH1ATwy+NS8jxfqoeuuCalffS7rOQeYM2SYiIuqHVNUMH6FQyOWWpE9Xx6VFz0H0nHQVe26IiIhcpGkasrOzcfjwYXg8HijK8dnvYBgGDh8+jOzsbGha9+IJww0REZGLhBAYOnQoqqqqsGdP+r7brj9SFAXl5eXdviOR4YaIiMhlXq8Xp556akZdmuoKr9eblp4rhhsiIqI+QFEU+NN8t9Tx6vi8sEdEREQZi+GGiIiIMgrDDREREWUUhhsiIiLKKAw3RERElFEYboiIiCijMNwQERFRRmG4ISIioozCcENEREQZheGGiIiIMgq/fiFNdtYfwbfWPoySrHwMycpFSVYeSrLyMMSaFlvTIl8O1OP0G1+JiIh6A8NNmuxvrsP7xw7i/WMH262nCIHB/lw78BRb8yXZ+Rhiz+eh2J+Hgb7sbn8zKhER0fGG4SZNxgwYile+chUOBhpwsLkB1S0NOBiwps3m/JFAMwwpcbClAQdbGjrcp0dRUezPNUNQQg+QWZaLkqx8FGflIt/jZxAiIiICw03aDPBl48vDTmu3TtjQcTjQiIMtjahuqUd1SwMOtTSaAch6RedrQy0IGzo+a67DZ811HR7fr2qO0JPXet4f7RHKRY7Hl663TURE1Ocw3PQij6KiNLsApdkFAIa1WzeoR+ICTywI1eNgoNEst3qEGsJBBPQIdjfWYndjbYftyNV89uUv+1KYY6yQMxz5VP6IEBFR/9InPrlWrFiBe++9F9XV1Rg7dix++9vf4pxzzklad/Xq1fjTn/6E7du3AwAmTJiAu+++u836/ZVP1VCeOwDluQM6rNsUDsYCjx2EWoei6pYGBPQIGiNB7GwIYmfDkQ73XejNajU42pyPhaLirFwM8edCU9R0vHUiIqJucT3cPPHEE6isrMSqVaswadIkLF++HDNmzMCOHTswZMiQVvXXrVuHSy+9FFOmTIHf78c999yDr3zlK3j//fcxbFj7vSGZKsfjw0keH07KG9RuPSklGsJB+9JX4uWw6pYGHApEe4QaETZ0HAu14FioBR/VHWp33wICRf5sFPvzUJztuBSWEIqKs3JR5M+BInjHGBER9QwhpZRuNmDSpEk4++yz8cADDwAADMNAWVkZrr32WixcuLDD7XVdx4ABA/DAAw9gzpw5Hdavr69HQUEB6urqkJ+f3+32ZyopJWpDLeZlsCTjgpy9Q4cCjTA68WOkCgVD/LkozsptY6B0LAwVerM4UJqIiDr1+e1qz00oFMKWLVuwaNEiu0xRFEyfPh0bNmxIaR/Nzc0Ih8MYOHBg0vXBYBDBYNBerq+v716jjxNCCAz0ZWOgLxsjC9uvqxsGjgabrAAUDULJQ9GRYBN0aeBASz0OtHT8b+FVVDvsDLHuDiuxbqEvzo71DpVk5yFX8zEIERGRu+HmyJEj0HUdxcXFceXFxcX46KOPUtrHTTfdhNLSUkyfPj3p+qVLl+KOO+7odlupbaqiYIh1+akj0TvGooOhY+GndSg6FmpByNCxr+kY9jUd63DfWaqnnfFB+fZlsZKsfGRpnjS8cyIi6otcH3PTHcuWLcPjjz+OdevWwe/3J62zaNEiVFZW2sv19fUoKyvrrSZSgvg7xtoXiIRxKNBoXwY72NL6lvloEGqMBNGih1HVWIOqxpoO953v8VtBJ/5S2JCsPORpPmRrHuRoXuR4vMhWzWmO5kW25kG26uVTpomI+jBXw01RURFUVcXBg/FP9T148CBKSkra3fZXv/oVli1bhr///e8YM2ZMm/V8Ph98Pj7XpT/ya55O3zFW7XiAovN2eWcoCugR1IcDqA8H8El9x3eMJW2bqiFbMwNPNPSYU2/S8sR1DE9ERD3H1XDj9XoxYcIErF27FhdffDEAc0Dx2rVrcc0117S53S9/+UssWbIEa9aswcSJE3uptdSXdeaOsfpwIOmDFKN3izWFQ2iOhNBkvZojYXsqYQ6cDugRBPQIaoLNPfJ+GJ6IiLrO9ctSlZWVmDt3LiZOnIhzzjkHy5cvR1NTE+bNmwcAmDNnDoYNG4alS5cCAO655x7ceuuteOyxxzB8+HBUV1cDAHJzc5Gbm+va+6D+QQiBAm8WCrxZOK1gcKe2lVIioEes0BO0Q09TJGQGIj1kByPnusSg1NxmOcMT9Q4pJSLSQNjQETHMadjQ48ukjrBhtL3e0BGW0XkDEbt+bH20fvy8WcfcJvm+AfNZX15FtaexeQ1eVYVPia33KGqsTFXhVbTY9naZc19a3H69qsrHU2QY18PNJZdcgsOHD+PWW29FdXU1xo0bh1deecUeZLx3714ojl+UK1euRCgUwne+8524/dx22224/fbbe7PpdJwRQiBL8yBL86AIOWnfv5QSLXrYCkbBuF6jroSnZOuiGJ46prfx4Rv7cI99oDsDQfthIPmHf+ttkuw7cZ/SERI6CAt2qLD2qUujx89ff6MJJRZ4VA0+KwQ5Q5NP0eCJBiVFgzchgLUOYrF9JAaqVsdqc18afAxfneb6c256G59zQ8eraHiKCz3hEJr1MJrCsTDUHIm/HJcYklraCVa9pb3w5FO1WHjoZFiI9SwYdi/a8cSjqNCEAo+iwqMo0BQVHqFAU6JlsfV2mVCgRusLcxq/PjYfv+/EMhWqNS8hETJ0hPSINdURNCL2sjkfm4YMHUE9grChI2REEIxuZ5U7p+Z6vd8FPFUoHQcpVTMDWFxZQo9WkiDlTQhSXqWNoGX3mLUOfb3xB0e/ec4NEfUeIYTdO9ITOhue2gpQbfVM9WbPU1sUIRI+sJN8oDs+zBPDQEfro2FBUxz7jNs+YZsOwkLcfAftVYVyXD0nSrcCbtBIDFAJQSpJUIoGqHBb6/UIgo5wFnSEsrDurBtpI4CZwTuuvdJAi26gRe+9PyI6QxEiLgidXVSOv335Ctfaw3BDRGnR0+HJkEZszJPjMl1iSArqkfiwkPiBnhgmEsuEo9fCsY2mKLw0kEFURYGqKPCjbz7zyrB6HKM9TaGE3qpYr1XyIBXr+XJsHxfAnMEuEre/kJ4szLXeR3x7pf1HBwDUhVrcOG02hhsi6hcUodjhaXDyx1oRZQxFKPCp5jigvD6Yv6SU1mXAhJ4oKzR5FXfjBcNNmhiBRjTv3AA1rwha3mCouUVQvPwNTEREmUcIYY7VUftmjOibreqHggd2YO+9X4krE74caHlFUK2wo+UVQc0tgpo/GFpuEVRrWcs316u5AyEU1aV3QERElBkYbtLF0OE7YRT0hiOINB4B9AhksAnhYBPCR/aktg8hoGYPgJqfEIbyBlshyQpDeYPN+bwiKP6842oQIBERUUd4K3gPkFLCaK6D3ngEkYYj0BuPmKGn4TB0aznScAS6tRxpPAKjqbZrB1M9sd6hvKJYj1Ceo3fIcalMzSuC4uHXURARUf/CW8FdJoSAmlMINacQ3uJTUtpG6hHojUfbDEPREKTXH7bDkQw1A3oYkWMHEDl2IOX2Kf7c1C+V5RVBzRnAy2VERNRvMNz0EULVoBUUQysoTnkbI9js6AWK9ghZgSgahhy9Q3rDEcDQYQQaYQQaET5clWLjBNScgcl7h+xLZ47LZblFUPy5vFxGRESuYLjpxxRfNhRfOTyDylOqH71cFmk4bPcG2T1Edm+RFYis0GQ0HwOkhN54FHrjUSDFDiLh8cVCTwqXyrS8Iogeej4KEREdXxhujiPOy2XAqSltIyNh83JZ45E2xwvp1nK0XIYDkOEgIrX7Eandj2CK7VOy8uPCTqtLZ3nxg6nV7AEQ/IJGIiJKwHBD7RKaB1phCbTCkpS3MYLNrccLtTOYWm88al4ua6mH0VKP8OFPU2ycAjV3UMqXyrS8IghfDi+XERFlOIabNInedMYPTvNymdd3IlB0Ykr1pWHAaKlre7yQHZIO2/NGcx0gDavOYYRSbJvw+NsNQ2ruIAjVA0BYvUICUBRAKK3LnMtCab1OKIAw10FEl2NlwrHOXE5WP/n2nd83fy6J6PjBcJMuLTr01w4B+R6IgtgLeRqExksn7RGKAjVnANScAUDJaSltIyMhRBqPJvQOxY8Xsi+XNUYvlwUhwwFEaj5DpOazHn5XfVBbwSka0pxhyBHSoFjLQkka6uz9tRvqostdDW6x7VsFt6RtFeay/b5jy0IkWe+YF+1sG1sP6/2ncpzkdZMfJ1ZXtNOGaF37vbZxnKRtcCx32IYO32vbbZCGDqk3A3oLpNECqTdDRlpg6M3mcsRclnpz7BVphow0QUoDQvVCKF4I1QsoPnNZ9UNoPmtqvhQty5rPhvBkQWjZULzZEFoWFM0PofrM9aofUH12GaxyxdoXVJ9Zl38IZASGmzSRdWEgIoGaEGRNCHEPD8rVYmEnGnz8vLW6O4TmhadwKDyFQ1OqL6WEDDUjUt/24GndukQmDR0wDAASkAZkdN6aSmkA0lwHw4C06kXLZHSdVRZX317ueF38vqxpd0gJSPPL7hIfbnVcPeyKUiMAqIDQAKEIQAOECkAV1jR+udU6pXshQbr15ddSAFAQe4MKhLDevNCseQ+geCAUzQxgitdcVr0QihWSVC9ghSoRDVVaFqD5oXis8OWxApknB4qWDeHNhuLJgfD4IVQPhKpZUw8QXeZjOVLCcJMmotgP9YIhkHVhyPowUBc2A0/QABojkI0RyP2Ob0n1KWbYcfT0IFfr9i8ESk4IAeHLgXdwDjB4uNvN6TIz7CSGoWjwkWYQc4YjRyiDYSSv71znDHHOUJdsX4gFvLj6zra1sS4uNCZ5L+2tSxb6WgfKaFyzzlc0vlnnTyYsx9W1lmUb20brymTbOuq2akMbdZPup8PjxOaTHccsCwMyCCnDkAgBRgiQIUiErXUhSGnNIxw3b77SFHmlCkADpAZANZed80Z0vQpIxVyWEtIIQxohSBkBjAggw+a81AHogNQhoQMwABhWJ6Qwc0msUxKwOvmgCHM5cV3i71whzf0j9q3Xcf+06Tkr7ZKGNA9k/YjD+s/BPC/Wm7BDmAIRDWNQrDSq2oFM2EHMY4YzxQtEe8UUrx3EhOaHUKI9WllQPD4zvEWDleaxl+PCVhvLSnYh/Cec2QtnKzmGmzRprHofB5672frH1aBoGoTmgaJ6oKoaVOGBCg1CqlAMBQIacMj8gRTWXwhCUQG/ByLbB5HthcjxAtleKB4PoETrRH9gVSA6H7dOaWdde9upsS5/6rNilxnMS53818pM0ojACNXDCB6DEayzXscSpo75uLrHYITqu9/TBwBCgeIrtF4FULwF5tQuy4+t8xW2Xu/N65WeBiml+ZU3eth8GREgEo5blpEwkLAs9TBkJASpB2CErMti4RZIvQUyHIARaYGMBAAjCBkJQuoBSD0IqYfM4KUHASuEmdNoCAub4UtGADuQGQB0SCuMAYYVpCQgJJy/eu3ApSb+N+5cah3C2j1Hzmm0CR2d02ioSghZdvhqtU7ay5784ahYtCultvUEhps0OXzoM3iUl81/7Ij1QuxnyK0e1k4TKqBYIcgZfBTrL4G4dWo765Jtp6SwTy2+DY51ULRYmTOsRdcpVkCLC3JWV3KrIBdtf5LtFOsvHdUTm1c0+68fdgtTR2QkCCPUOojodvhIDCzx4UWGG9PTENULxVcI1VcA4S2w52OBpCAhuBTGhRPh6R93FwohAM3sXeiPzCARsYJTADJihigj3AIZboIRaoQMt8AIN0GGm6x5a8xSpMWsFwmYoSwawiJBM5Tp0ZfVE2aEzHBnhM0gZoStABaBcCQeIYTZGRRdjmtxxz8TdZq78YLhJk3e14bipbrZ0GBAExIeVcKrAl5FwqPAXFYkPIqEpgAeRcIjzLqaIqFBhyp1qDCgSR0qIlBhQIUORerW1IBiLSuIQBg6hIxASD32EjoUGBAwIBCxpgaE1Y0rOkr5Ugd0PT7lUwJhdsEqzvBjzavR6/COruC4ulpC3WQByuoKVpIcQ03Yh13maVUWH8is4wmtdXDrBx9eUYaUiBiALiV0wxzmphsSuoyVGdK6OmG/zKG5zmXFsSwSygAJoQessNFGz0lH4UQPpOX9Ci07eRDxFULx5sf3qiSu9xWY4z360b9vfxX9uYwY1rSjZUMiIqPLzjoKdCMbEZnVRl1rqgARj0REtab++PV6Yn3Hcnu/04XUockQNBmAJoPWfBAeIwhVBuGRQas8ts5+GeZ6VYbgkUF48k7AuN76B0iC4SZNAr48rG78FowupgEhAI+mwefR4PVYU80Tm3eWezT4NHOqdOEhdkIaZjiSVhCKhicjAs2IwCsj8MgIPDDghQ4PIvAIAx6hwysMeBQDXsWAV9GhqRJeVcKjGtZLQhMGNOjmS5gBLTqvWPMqzHkVemxqtQtSBwzdGrMRsbp3dfMvG3udnmSd0c46cztI3eo6ju0/cZ00wlYXc9jcTysS0ENm13TX/rn7FClUwAo6EB5IKxRJa945NYQHUmgwhAeGYk2FBgMeGIo5r8MDXagwoEEXHuh2mYaI9ZMRgQe68CACFWF4EIHmeHkQhma+ZHRqlsX2p5nHFR7zJyraJqgQkPAaTfAb9cgy6pBl1MOvN8Bvz9fDbzQgy6iDP8lyll4PFcn+3TsvqOQhpOUjpBYgrOYjpOUjrBUgrOUjrOYjohXYy7onHxGtEBEtH7qnALqWD6F6zRAGR1BzBDcztAkoElCC5ksIYa03oIhmc0SG6CDwQTjWOfaBhABoHzO2HKsnuhUqo8tR6QsMHX/gp7Lc1cDQ16kC0BQBTQE0oUFTPNCUHKhCxMoVAc1Zz67f9nJRlrt3CTPcpMnFpzeh+po70BjyoiaQbb5aslAbyEZNIAu1gXzUBgtRG8xDbSAbR1uyUNPiRW2LhqawgJRAKBxBKNy5X6p+TUWuR0O2qiLHoyHLevmsoOTzaNA8GjweDZqmQfWokIqCiNAQER5EnH/VdeVqS+qXfFNm9mwJeK3/SLyqgEe15hVz3qMI62XNq23MKwJe57bOfUaP45jXFPMvf93qEYgYEhE9DF0PQ4+EYegh6HoYET0CwyqPTqUegmFEYERCMIwwDD0CaYTsqTSsMQGGea0/FqAcQcpahgxDWMtChiEM8xq+sJYVI2KWyzAUGYFihCFkBIoMQ5URKDDLVXvZnFeSXGgXVm8drN6G/v53vgEBJQ0fNwYUtCj5CKgFCCh5CCj5ccstSr5Z5lyvFtj1gkquGRxTOxgQtF5xhenpAepPFMSGc/RXZmBo/eHf3cCgJtbv5rJqBdlMxHCTJqGQFy2RC+BRGzA0twHD8hogcASKaIAQ7Y/cCkZU1AayUBPItqc1Ldk42pKPmkABagO5qAnkoLYlC7UBH2oCHtQFFUgIBCI6ApHOpQuPAAo1BYUeBYU+FQV+FflZGvL8KnI1BTmaghxVIEsRyBIK/IqAXyjmZYAIEDIkIjqsv2CAsAR0KaALgYhQYCgKdKFAVxToQljT9pedo+mifxmZ95b1tV9x1n2u6SLSv8v2KEYEqgxBkyGoRggawlCNIDxGCCrCjrKwWUeGW79gTY2weflUhqEgDM0ZrqS5zg5Y1rxil1nz0B3l5uVYBbrVq2hdfrUvxZovgdh80vdo/cwYUBFGNiIiC2H4EYE5DSMLYZGFCLIQQjbCwlwOIxshkY2wyEYY2QgLPyDM/86k9YwX82Ysa14ISOv2G68Q8CCAPAQhxWGrHHF12p9HCnWi84grB4Tdxlb1rX3H5tvet1kHKba3C+9PpPaXfFu/LYU0zF5naV5qN3t6pdX7bE5VSLtMgTSXhTT/ExPmOlXE5jUBa9ks0wSgKsKaTwwF0WBgLavWH1iqEltWFWiKAlURUBQFimLepBGdT7asKCKurK36mRpCegrDTZo0NBXg+VdOTLJGwqOF4PMG4fMG7KnXMe/zmdMT/EGcnF8HryeIjn6OdUOgLuiPC0VHW7JxuCkPh5vycLQ5FzUt2agNZuFY0I+6kA/1IQ/CUkVYAofDBg6HDaA5tZ4iAYksxUCOYiBHjU71NpfzFAM5ig5PCr/Por98DaHCEAoMoUJaU2eZIRTIhGVnHXsdkteRrcrijyUTf/lKaf8SFda8cMwrScsM82MiYRul3TLHNpDW8eLLYr/UW2+TuB/zF7iAqli/tAFzXhFQ2/jlqapqQrkfQmS1+0u59S/pjut0dZvW7TP/rRQhzcGQ0R4xwxy63954E2ndKh29hdowjLj5aJ3ofCrrE8ucx3C+Olqf3pfRS8dJ/WVICcO6Y92Q1n1DVjeNbs1Lad2Gr0fiwkxvfbT31ZtAhBCd/u+pvfo9vS+/34+SktS/tifdGG7SxOfzobw8tW/n1gG0RMwXms2y2LMqAMCApgbg0Zqhac3waM3wqOa8plrLWgs0rRml2c04Me8wNK3jr6eUEmiOeFDTEr1Ulo2jzTk40lSAo825ONqch6MtZlA6FvTjWMiLupAHTboGCYFmQ0WzoeJwJ66c+RSJPA3I8wB5mkSuBuR5rDItWiZj6xUJv5AQUkIa1i9FQ1qXbSSkbi4jbh3sZRjSfPxDF0gAhlCgGNIcByCjz4gVUKydCmk+OVZIWFOzTlvlaFXmqC8EFPNPZShCAWR0TIOCaE0FHrO+MJeiYxIUmL9AhASEUKzxDcL+BQhEbxu33pw1HsJcNsvtD35hrXfMIzpx7EO0MW/vG7H6AhIQhrU/3XzXjuNLAegC0JO0JX7fnWinoy1SNkQ/JWE+K8bxjwwZ/f/4Zcd8tK7932X0GSMJ2wAJ20U/mJ3Hi9vOWnbM28eytjN/PhLabC3EbWe/h/gHsJiLwnoOiow9oyXuWAnLCftI9l5lwj7MakmWE95bsveaKglpP85FWo9xgRCQCqKPeDHXCWlOrVf0Z00q1mkQgFSk1TNl7jO2bG5vnjYJQzjq2etkbDnJ/xnOJWmVycRlww540jEfK4+F0aTnIiEg93XFxcX4zne+49rxGW7SxKc34oTqtVA9PiheH1SPH4rHOfVB8frNqSc6ja1Ptk5RU//nkTIMadTB0I9BGsdgGMcg9YSpcQyafgx5/mMoM44BsjqlfYd1BbXBLNS2ZOFoIBu1zfmobR6A2kChOZYolIvaUDZqgn7UBDTUtCioaQF0AwgaAsEQcCQEpDqaQ1MEBmZ7MCjbi6IcLwbleDEw24tB2R4MyvFiULYXg3I85rps8zUw2wNNVSB1A3pQhx6IJH+1RKAHY8uRFmveKjMCEfuXeOIHSd8SG5UgYaR72BNRnxD9g6HjsX2p/G7pH5d1pP3ftbRDV/zUCmfWeruu4giCijDX2cuw8q5MCH3WvqLl1nx0/3FhMDHktQp9Rlz4y4p4XTh7MQw3aaIHWxBpqUekpeO6qRKKFgtKmheqN0lg8vihehNCkccP1VMCxTscqlXP67dClOa1/xKWRsAOPfGhqM5RXgs1fAzFyjEMyaoDxJGU2m5IoCHkMy+NBbJQGxyImsAg1IasQBTItS6p+VDT4kFNi4KjzUBL2BzEe6gxhEONqX4dpqnAr8XCT7YZfgY6AtCgHA8GFeViUI4ZmgZne5Dt7dx/AvZfps6/Stv4C7jVX/1t/dXdxl+99l/c9l/Obf+lHWsX4v/qttuZsG/n+oRei8QejKTtAhC9NbDVOYCjLXbPgVXXSHHfcefIuZxs363nY71TsOeB1svmrLCeiShiq9rbLrqNYx+As2cMjt6sJMdqp1cqdizHTGI9OHvKEtqtOLZJ2Ie56HhDyd5rku1Ewj7ies+c57nNYyWek8T36uzVM7eLPkAu2jsLI9pLa/6A2vNWz23ychm/vQSk3na9uH21Kk92fJjzeut69vES25J4fHt7tHnMWDnMOx36iZzyAlePL2RbfWAZqr6+HgUFBairq0N+fn7a9quHgwjWHYYRDkAPB81pKAgjEjSXQ9HyIPRwAIazjqNMDwcg9fTchpqcMIORN7EHybnsT1LHD8XjhXmXcBBCD0AJNQGhBshQHWT4GKSsg6HVQ8a9GszLEylqiWiobckyB1CHBuFYcJDZQxQsQE00ELX4UdOioaZFRU0LUNvS9W5av6bEBaKB2V54VGEOCBQCqhDm90Va84qAvc45b06d9cwxL4qIXx+3rRBQlNh+26znaIsi4NimnTYojmMIAUWBo12J9RLa2sb75IBGIndF/xhIvDQfH/4QH8baqpcsgMUFLitgthfM2gmZ3kI/is9NbahGqjrz+c2emzRRPT5kF52Qln0ZunU7ccgRlJzTUHwYMuzQ1H4dk4QRDsAIBwDUpaW9ACBUDzzefGRnnYJsz1D4tSHwK0XwiDwINdAq9BhaHQzfMRi+ekhvA6A1QKqNyPLUI0trQGleA4DULpvphsCxoB81LXmoDQ02A1FwgHX7fa5191m0h0hFTTNwtMVAWJcIRAzsrwtgf93xd8ttV7QKcY7Q1H7QMm87TQx73Qt+rUOcsNqjWtuag6id80he3qoM7ezDuR3aX9/WsdutG39shsrjg2FI60GU1ks6p4gva3Me7ewjxbpdPbZEXNnJ2QILXTyfDDd9kKJq5ngbX3ba9imlASMSdvQWte5J0kOBhF6k+N4lI+KsY66ThvUt03oYoZajCLUcxTG8Zx9XQIXPU4QsTwmyvUOR5S1BludMeNWcpO0MRerREv4MLXIPguIz6J7DkL5GaFkSqs+A6tOheiNQPGEonhCEGoSitmBQlvkCDqV4PoCmsBc1gXzUhoagNliE2sAA1IfyEDE0844rqcCQKnSpQErrsYOGeZOpEZ1KYdVToEtzWUoFulVuTp1lwprC2tYqM6LL5m310lqvS/OuEt2Q1jaxeXNqvuLrxa+P21ZKGNYvNWe9VOmGRPLvFaeeIkRboaiDYNVRoGtVN3mgU5Jul2L4ayfQKe2sEyL2nKm0fNC3WzchWHRQt/0gkPyDvu26sTZmmsknDsDCC0517fgMN8cJIRR7/I0nfZnJ7GWye4uSBKZwwOpFMufrwntQG9oBhAU84Wx49Dx4UQCfGAivUgivlg+vNhIFGGkfQw+HEGiuRkuoGs3hatSHqhEIH4QhHWNyFAOq1wo+1lT1Oea9OhRfxCo3oHgjyPWGkOs9gnKkNo7ILVI6vvE3+kWr0W8BltZ3ayH5S8D8MlXzP3WrTLSel9CgSw0SGgypQZcqJDxWmQopzacCS/MLQmBYAVCHB1Jat99b25vbqo4yMyAaQjPrSuuLRaQKKaJBL5UQZ4UywzGfZJvOfiAZqX4gtfNXarsfhh3sq6PPNSmjT9rNvA9ASl2bIbTNgJkk/HamNzNhO6WTQbmsMMvV88VwQ91i9jLlQvPndntfMmIA9WEYtSHIY0HI+jDQYECFFzm+cuT4YtdvJSR0LYiw2oSQqEcINQgYRxEO19lhK9QcH7Zio1VNQjVDTnz40SEUCQgJoUgI4ZwHEC2zpnZZdBsRnUds+7j9IH57xVGuJP/wMh8C2ca4og6uWCTbY9xpcMxHx3QqALS4AatJpOmhg+Y1f/M2DXsqBWBY04Rys0yJ1ZMKpBG9FUSJbWO/N2EPQI6VOacirlwmrI9bTlpH2IO7476EWwrHYO5Y/cT9A+aDAXUI6EZ8b58uhdUb6CxTrHJnL6BVZpjfKhftQdSd6xG/veHcB1rXN/fjrOPYJuEY0R5MHbH60e0NtN6HvX1iHcTqSQAarAfyCRl7OJ89j9blIvowPmevUKysrZ4oTXF8QFsP4Is+iM9cVqCpir1OtR/Up0BTVXOqKVAV1VynquZ6VTXXa+ZUU1WrTLOWrTqa+fR4TdWgadH1SlwbFefAbkoJww31GUJTgIE+qAN9APIAWAPoGiOQdWHIujBQb05FwIAW8UOL+JGFQQAqzJ14FYgiD1Dggcj3QBR4zAfqCPPSWfxltSSX4MLB6CeuNXjP/FRLNi+jn2a6NIOZjD3fwlwf/VSNbhN7gJu9f8BxLMOcFzpgfdmpeRHImhfmg/ogItYgbQOAHpuPbiei5eYDA6XQzUAFAxDWemsbM3RFyxPnzW2EYlh3xBh2gIMw4gJdLOzJhACIuPlW/+YCEKojORA5mP8JCXtq/ufknIp26rRfltI+DeuHNlpmWFMrNNvBO2yWxeqIWPg1kHBcc11ECoQTymLbxXpkhRLtZTV7WoVQAeExp4pmlWmAEl0f/fJeDUJRIVRzH0lfqhqrF/dSrGkH+4gr16DErdOguPgt7Qw31KcJIYA8D0SeB3CM15ZB3Qw7VuiRdWGgMQKEDMjDQeBwMPZxqcDcR4EHaoEHWkE+kO+B8Lr7xW6ZKi782b0Xhjk+S4YhZRiQEUhpfucWoFvLYbNMRoBoHURidWUEcCzDWpZSt6bR9dYDUYQzMBlI7LYxw5bhKJPWTeTSXjZ7rmTCtsnmHfsRzm6i6LJ0tMex/2TlUlqfnYa5SjiCtHPbVu/LWcdovU8zesfXkc761r9VdF46j5XQZms/MmFb65M8yatrhIAV0qPtpFTF/raK9l4mhqj4gGdIR2DTY3XaC3/trRNiKIZ/8Y+uvX+GG+qXhE+FGKICQ/x2mdQl0BCGPBaGtHp4UBcGIjIWgpw7yVLNnp0CM/iIAg+QrbL7t5vMJwybT1QmAhDrxWwVlOLDlowrN3sgpT0fscvNQGv2VELqZiBzlHW83tofrN5S6NZ6q9ezVZlhhWejC8d0vg89yf6tdXZIj7UhtuzoqY2bb5uwn1sUH+p7S7ihVw/XCsMNZQyhCqDQC1EYezKmlBJo1mO9O3Vm8EGzDrTokC06UB2I/WevCvObRYWwHu0urJc5L+LKralIqCfMedHW+oR6UAARt78kxxbxx2MAo/5ERD9pW61od5E6IB0hMFlISwxUyUNadF1bIa299YbVu+oIo4bZi5pVUNTLZyMeww1lNCEEkKNB5GhAaWz0vgwZ9vgdO/g0hM0ngLbzFNDO/O3To38n2YEJsRDURplIpZ4VoEQ7ASwxqHUqvDGMEaWdENEv2NJiT5cmAAw3dJwSXgUo8kEU+ewyaUigKWKGGwn7qZuxe5VhXshuoyz6pM7otvb6JGUyxXp2WSIJK4hFF9rWJwJZNAClEMqS944lLxOJZUobv+GF/T8JZW3VbausjY3Ssa80tidpluxw/ym0p6NPz6Sjxjs6brLyhB5LkfBzAgZmah/DDZFFKML8+nJnmUttcbK/f6nDgOUMWdb6uLqObRLDW+I+ZeI2VjsS99NWe1q9CTh6xPpBGKO+LzEwO6dtrDOvjrUTnJLuK6GXMtn2cfuJllnHS/EYzn0xuHUfww1RHyecvxhTqd+zzUmJbKeHq82AlSSotdk7lqyes9erVYPaamh7ZfErZXtJqs39d7MtdnkbK9ttfwpt6ew+OrufNvefwj6i/6bt7TfFwNxeU3pyu25J1mPVQUiyez1TCFDOqWgveLWzvWgvJKoCwp+mB2J1AcMNEaWdEMJ6CHLHUasvhDHqu+J6LiViIdkucyw7ArSMq5tk6tynM2x3absk7UycOsO9c7ktBhCLVf0wvA3wQPvSkJ7Yc0oYboiIqM/qbM+lvV3PNCftkl52TiEkyfYCVDuhLD3bRes4etcS9ilS+MOmJzHcEBERuSTTw5tb+JQtIiIiyigMN0RERJRRGG6IiIgoozDcEBERUUZhuCEiIqKMwnBDREREGYXhhoiIiDIKww0RERFlFIYbIiIiyigMN0RERJRRGG6IiIgoozDcEBERUUZhuCEiIqKMwnBDREREGUVzuwG9TUoJAKivr3e5JURERJSq6Od29HO8PcdduGloaAAAlJWVudwSIiIi6qyGhgYUFBS0W0fIVCJQBjEMA59//jny8vIghEjrvuvr61FWVoZ9+/YhPz8/rfumGJ7n3sHz3Dt4nnsPz3Xv6KnzLKVEQ0MDSktLoSjtj6o57npuFEXBCSec0KPHyM/P5384vYDnuXfwPPcOnufew3PdO3riPHfUYxPFAcVERESUURhuiIiIKKMw3KSRz+fDbbfdBp/P53ZTMhrPc+/gee4dPM+9h+e6d/SF83zcDSgmIiKizMaeGyIiIsooDDdERESUURhuiIiIKKMw3BAREVFGYbhJkxUrVmD48OHw+/2YNGkS3nrrLbeb1K8tXboUZ599NvLy8jBkyBBcfPHF2LFjR1ydQCCA+fPnY9CgQcjNzcW3v/1tHDx40KUWZ4Zly5ZBCIEFCxbYZTzP6bN//3788Ic/xKBBg5CVlYXRo0dj8+bN9nopJW699VYMHToUWVlZmD59Oj755BMXW9z/6LqOxYsXo6KiAllZWTj55JNx5513xn0fEc9z57355puYNWsWSktLIYTAs88+G7c+lXNaU1OD2bNnIz8/H4WFhbjiiivQ2NjYMw2W1G2PP/649Hq98qGHHpLvv/++vPLKK2VhYaE8ePCg203rt2bMmCEffvhhuX37drl161b5b//2b7K8vFw2NjbadX7yk5/IsrIyuXbtWrl582b5hS98QU6ZMsXFVvdvb731lhw+fLgcM2aMvP766+1ynuf0qKmpkSeeeKK87LLL5KZNm+Snn34q16xZI3fu3GnXWbZsmSwoKJDPPvusfO+99+TXv/51WVFRIVtaWlxsef+yZMkSOWjQIPnCCy/Iqqoq+dRTT8nc3Fz561//2q7D89x5L730krz55pvl008/LQHIZ555Jm59Kuf0q1/9qhw7dqzcuHGj/L//+z95yimnyEsvvbRH2stwkwbnnHOOnD9/vr2s67osLS2VS5cudbFVmeXQoUMSgHzjjTeklFIeO3ZMejwe+dRTT9l1PvzwQwlAbtiwwa1m9lsNDQ3y1FNPla+++qr80pe+ZIcbnuf0uemmm+S5557b5nrDMGRJSYm899577bJjx45Jn88n//KXv/RGEzPCRRddJC+//PK4sm9961ty9uzZUkqe53RIDDepnNMPPvhAApBvv/22Xefll1+WQgi5f//+tLeRl6W6KRQKYcuWLZg+fbpdpigKpk+fjg0bNrjYssxSV1cHABg4cCAAYMuWLQiHw3HnfcSIESgvL+d574L58+fjoosuijufAM9zOj3//POYOHEivvvd72LIkCEYP348Vq9eba+vqqpCdXV13LkuKCjApEmTeK47YcqUKVi7di0+/vhjAMB7772H9evXY+bMmQB4nntCKud0w4YNKCwsxMSJE+0606dPh6Io2LRpU9rbdNx9cWa6HTlyBLquo7i4OK68uLgYH330kUutyiyGYWDBggWYOnUqRo0aBQCorq6G1+tFYWFhXN3i4mJUV1e70Mr+6/HHH8c777yDt99+u9U6nuf0+fTTT7Fy5UpUVlbi//2//4e3334b1113HbxeL+bOnWufz2S/S3iuU7dw4ULU19djxIgRUFUVuq5jyZIlmD17NgDwPPeAVM5pdXU1hgwZErde0zQMHDiwR847ww31efPnz8f27duxfv16t5uScfbt24frr78er776Kvx+v9vNyWiGYWDixIm4++67AQDjx4/H9u3bsWrVKsydO9fl1mWOJ598Eo8++igee+wxnHnmmdi6dSsWLFiA0tJSnufjCC9LdVNRURFUVW1198jBgwdRUlLiUqsyxzXXXIMXXngBr7/+Ok444QS7vKSkBKFQCMeOHYurz/PeOVu2bMGhQ4dw1llnQdM0aJqGN954A7/5zW+gaRqKi4t5ntNk6NChGDlyZFzZGWecgb179wKAfT75u6R7brzxRixcuBDf//73MXr0aPzoRz/CDTfcgKVLlwLgee4JqZzTkpISHDp0KG59JBJBTU1Nj5x3hptu8nq9mDBhAtauXWuXGYaBtWvXYvLkyS62rH+TUuKaa67BM888g9deew0VFRVx6ydMmACPxxN33nfs2IG9e/fyvHfChRdeiG3btmHr1q32a+LEiZg9e7Y9z/OcHlOnTm31OIOPP/4YJ554IgCgoqICJSUlcee6vr4emzZt4rnuhObmZihK/EebqqowDAMAz3NPSOWcTp48GceOHcOWLVvsOq+99hoMw8CkSZPS36i0D1E+Dj3++OPS5/PJRx55RH7wwQfyqquukoWFhbK6utrtpvVbV199tSwoKJDr1q2TBw4csF/Nzc12nZ/85CeyvLxcvvbaa3Lz5s1y8uTJcvLkyS62OjM475aSkuc5Xd566y2paZpcsmSJ/OSTT+Sjjz4qs7Oz5Z///Ge7zrJly2RhYaF87rnn5L/+9S/5jW98g7cod9LcuXPlsGHD7FvBn376aVlUVCR//vOf23V4njuvoaFBvvvuu/Ldd9+VAOT9998v3333Xblnzx4pZWrn9Ktf/aocP3683LRpk1y/fr089dRTeSt4X/fb3/5WlpeXS6/XK8855xy5ceNGt5vUrwFI+nr44YftOi0tLfKnP/2pHDBggMzOzpbf/OY35YEDB9xrdIZIDDc8z+nzt7/9TY4aNUr6fD45YsQI+eCDD8atNwxDLl68WBYXF0ufzycvvPBCuWPHDpda2z/V19fL66+/XpaXl0u/3y9POukkefPNN8tgMGjX4XnuvNdffz3p7+S5c+dKKVM7p0ePHpWXXnqpzM3Nlfn5+XLevHmyoaGhR9orpHQ8tpGIiIion+OYGyIiIsooDDdERESUURhuiIiIKKMw3BAREVFGYbghIiKijMJwQ0RERBmF4YaIiIgyCsMNERERZRSGGyI6rj3yyCMoLCx0uxlElEYMN0RERJRRGG6IiIgoozDcEFGf9corr+Dcc89FYWEhBg0ahK997WvYtWsXAGD37t0QQuDxxx/HlClT4Pf7MWrUKLzxxhv29uvWrYMQAi+++CLGjBkDv9+PL3zhC9i+fbtbb4mIegHDDRH1WU1NTaisrMTmzZuxdu1aKIqCb37zmzAMw65z44034j/+4z/w7rvvYvLkyZg1axaOHj0at58bb7wR9913H95++20MHjwYs2bNQjgc7u23Q0S9hOGGiPqsb3/72/jWt76FU045BePGjcNDDz2Ebdu24YMPPrDrXHPNNfj2t7+NM844AytXrkRBQQH+8Ic/xO3ntttuw5e//GWMHj0af/zjH3Hw4EE888wzvf12iKiXMNwQUZ/1ySef4NJLL8VJJ52E/Px8DB8+HACwd+9eu87kyZPteU3TMHHiRHz44Ydx+3HWGThwIE4//fRWdYgoc2huN4CIqC2zZs3CiSeeiNWrV6O0tBSGYWDUqFEIhUJuN42I+jD23BBRn3T06FHs2LEDt9xyCy688EKcccYZqK2tbVVv48aN9nwkEsGWLVtwxhlntFmntrYWH3/8cas6RJQ52HNDRH3SgAEDMGjQIDz44IMYOnQo9u7di4ULF7aqt2LFCpx66qk444wz8J//+Z+ora3F5ZdfHlfnF7/4BQYNGoTi4mLcfPPNKCoqwsUXX9xL74SIeht7boioT1IUBY8//ji2bNmCUaNG4YYbbsC9997bqt6yZcuwbNkyjB07FuvXr8fzzz+PoqKiVnWuv/56TJgwAdXV1fjb3/4Gr9fbW2+FiHqZkFJKtxtBRNRZu3fvRkVFBd59912MGzcuaZ1169bh/PPPR21tLb9igeg4wp4bIiIiyigMN0RERJRReFmKiIiIMgp7boiIiCijMNwQERFRRmG4ISIioozCcENEREQZheGGiIiIMgrDDREREWUUhhsiIiLKKAw3RERElFH+P+5Bvh7SArDNAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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KK1q2bJk6derkdEkhhBsAANBgY8eO1cKFC/Xaa68pKSlJhYWFkqSUlBTFxcU5WhsXFAMAgAabM2eOioqKNHjwYLVt2zY0Pf/8806XxsgNAABoOGOM0yUcEyM3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AADAVcIKN/Pnz1dZWVmkawEAAGi0sMLNxIkTlZ6erptuukkfffRRpGsCAAAIW1jhZseOHXrqqae0d+9eDR48WF27dtXDDz8ceq8EAACAU8IKNz6fT//5n/+p1157Td9++61uvvlmPfPMM2rfvr1+8Ytf6LXXXpNt25GuFQAANBNz5sxRjx49lJycrOTkZA0YMEBvv/2202VJisAFxWlpabrwwgs1YMAAeTweffrpp8rJydEZZ5yhZcuWRaBEAADQ3Jx++umaMWOG1q9fr3Xr1uknP/mJrrzySn322WdOlxb+izN37dqlf/7zn5o/f762bt2qq666Sm+88YaysrJUWlqqP/7xj8rJydG2bdsiWS8AAK5mjFFZVaUjx473RcuyrHptO2zYsFqfp02bpjlz5mjVqlU699xzm6K8egsr3AwbNkyLFy/WWWedpZtvvlmjRo1Sq1atQusTEhL0+9//XjNnzvzR75o9e7ZmzpypwsJC9ezZU3/961/Vr1+/Y25/4MAB3XPPPXr55Ze1b98+dejQQXl5efr5z38ezp8CAECzUlZVqeSn73Hk2P7rpykhKqbB+wWDQb3wwgsqLS3VgAEDmqCyhgkr3KSmpuqDDz447h9w2mmnqaCg4Ljf8/zzzys3N1dz585V//79lZeXp6FDh2rTpk1KTU09avvKykr99Kc/VWpqql588UW1a9dO27ZtU4sWLcL5MwAAQCN8+umnGjBggMrLy5WYmKhXXnlF3bp1c7osWcYY49TB+/fvrwsuuECPPfaYJMm2bWVmZuq3v/2tJk6ceNT2c+fO1cyZM/Xll18qKioqrGP6/X6lpKSoqKhIycnJjaofAIDGKi8vV0FBgTp16qTY2NiT5rSUVD3osH37dhUVFenFF1/UE088oQ8++CDsgPPDvjhSQ36/wxq5GTdunLp06aJx48bVan/ssce0ZcsW5eXl/eh3VFZWav369Zo0aVKozePxKCsrSytXrqxzn9dff10DBgzQ2LFj9dprr+m0007Tddddp7vvvlter7fOfSoqKlRRURH67Pf76/EXAgDgDMuywjo15ITo6Gh16dJFktSnTx+tXbtWf/7zn/X3v//d0brCulvqpZde0qBBg45qHzhwoF588cV6fcfevXsVDAaVlpZWqz0tLe2Yz8vZunWrXnzxRQWDQb311luaPHmyHn30UT344IPHPM706dOVkpISmjIzM+tVHwAAaBjbtmsNKDglrJGb77//XikpKUe1Jycna+/evY0u6lhs21Zqaqoef/xxeb1e9enTRzt27NDMmTN133331bnPpEmTlJubG/rs9/sJOAAANNKkSZOUnZ2t9u3bq7i4WAsXLtSyZcu0ePFip0sLL9x06dJF77zzjm6//fZa7W+//bY6d+5cr+9o06aNvF6vdu3aVat9165dSk9Pr3Oftm3bKioqqtYpqHPOOUeFhYWqrKxUdHT0UfvExMQoJubkGN4DAOBksXv3bo0aNUo7d+5USkqKevToocWLF+unP/2p06WFF25yc3N1++23a8+ePfrJT34iSVq6dKkeffTRel1vI1Wfp+vTp4+WLl2qq666SlL1yMzSpUuPCk2HDBo0SAsXLpRt2/J4qs+obd68WW3btq0z2AAAgKbxj3/8w+kSjimscHPjjTeqoqJC06ZN09SpUyVJHTt21Jw5czRq1Kh6f09ubq5ycnLUt29f9evXT3l5eSotLdWYMWMkSaNGjVK7du00ffp0SdKtt96qxx57TOPHj9dvf/tbffXVV3rooYeOurAZAACcusJ+QvGtt96qW2+9VXv27FFcXJwSExMb/B3Dhw/Xnj17NGXKFBUWFqpXr1565513QhcZb9++PTRCI0mZmZlavHixfve736lHjx5q166dxo8fr7vvvjvcPwMAALiMo8+5cQLPuQEANCfHe7bLqSZSz7kJ61bwXbt26YYbblBGRoZ8Pp+8Xm+tCQAAwClhnZYaPXq0tm/frsmTJ6tt27YNepohAABAUwor3KxYsUIffvihevXqFeFyAAAAGies01KZmZk6xS7VAQAAJ4mwwk1eXp4mTpyob775JsLlAAAANE5Yp6WGDx+usrIynXHGGYqPjz/qDd379u2LSHEAAAANFVa4qe9TiAEAAE60sMJNTk5OpOsAAAAnsRkzZmjSpEkaP36844MgYV1zI0lff/217r33Xo0YMUK7d++WVP3izM8++yxixQEAgOZv7dq1+vvf/64ePXo4XYqkMMPNBx98oO7du2v16tV6+eWXVVJSIkn65JNPdN9990W0QAAATiXGGNkVpY5M4dwJXVJSopEjR2revHlq2bJlE/RIw4V1WmrixIl68MEHlZubq6SkpFD7T37yEz322GMRKw4AgFONqSzTl7c0/H2NkdD18RJZMQkN2mfs2LG6/PLLlZWVpQcffLCJKmuYsMLNp59+qoULFx7Vnpqaqr179za6KAAA0Pw999xz2rBhg9auXet0KbWEFW5atGihnTt3qlOnTrXaP/74Y7Vr1y4ihQEAcCqyouPV9fESx45dX99++63Gjx+vJUuWNLsXfoYVbq699lrdfffdeuGFF2RZlmzb1r///W/dcccdGjVqVKRrBADglGFZVoNPDTlh/fr12r17t84///xQWzAY1PLly/XYY4+poqLCsZdphxVuHnroIY0dO1aZmZkKBoPq1q2bgsGgrrvuOt17772RrhEAADQzl156qT799NNabWPGjFHXrl119913OxZspDDDTXR0tObNm6fJkydr48aNKikpUe/evXXmmWdGuj4AANAMJSUl6bzzzqvVlpCQoNatWx/VfqKFFW4Oad++vdq3bx+pWgAAABqt3uEmNzdXU6dOVUJCgnJzc4+77axZsxpdGAAAOLksW7bM6RIkNSDcfPzxxwoEAqHlY7Esq/FVAQAAhKne4eb999+vcxkAAKA5Cev1C0VFRdq3b99R7fv27ZPf7290UQAAAOEKK9xce+21eu65545qX7Roka699tpGFwUAABCusMLN6tWrNWTIkKPaBw8erNWrVze6KAAAgHCFFW4qKipUVVV1VHsgENDBgwcbXRQAAEC4wgo3/fr10+OPP35U+9y5c9WnT59GFwUAABCusB7i9+CDDyorK0uffPKJLr30UknS0qVLtXbtWv3rX/+KaIEAAAANEdbIzaBBg7Ry5UplZmZq0aJF+u///m916dJF//M//6OLLroo0jUCAADUW9ivX+jVq5eeeeaZSNYCAABOEvfff78eeOCBWm1nn322vvzyS4cqOqze4cbv9ys5OTm0fDyHtgMAAO517rnn6t133w199vka9crKiKl3FS1bttTOnTuVmpqqFi1a1PmaBWOMLMtSMBiMaJEAAKD58fl8Sk9Pd7qMo9Q73Lz33ntq1aqVJF6/AABAUzHGyA7YjhzbE+Vp0Dsiv/rqK2VkZCg2NlYDBgzQ9OnT1b59+yassH7qHW7+/Oc/q3fv3kpOTta2bds0fPhwxcTENGVtAACccuyArfz7ljly7F4PDJY32luvbfv3768FCxbo7LPP1s6dO/XAAw/ooosu0saNG5WUlNS0hf6Iet8t9cYbb6i0tFSSNGbMGBUVFTVZUQAAoHnLzs7W1VdfrR49emjo0KF66623dODAAS1atMjp0uo/ctO1a1dNmjRJQ4YMkTFGixYtOuaFw6NGjYpYgQAAnEo8UR71emCwY8cOV4sWLXTWWWdpy5YtEawoPPUON3PmzNHvf/97vfnmm7IsS/fee2+d5+UsyyLcAAAQJsuy6n1qqDkpKSnR119/rRtuuMHpUuofbgYNGqRVq1ZJkjwejzZv3qzU1NQmKwwAADRfd9xxh4YNG6YOHTrou+++03333Sev16sRI0Y4XVr9r7n55S9/GXq+zfz58x2/WAgAADjnf//3fzVixAidffbZuuaaa9S6dWutWrVKp512mtOl1X/k5tAFxcnJybrxxhuVnZ2tuLi4pqwNAAA0U88995zTJRwTFxQDAABXqXe4mTt3rnJzc7mgGAAANGv1DjcDBw7kgmIAANDshXVDe0FBgTZt2qTrr79eAwcO1I4dOyRJ//znP7VixYqIFggAANAQYYWbdevWaejQoYqLi9OGDRtUUVEhSSoqKtJDDz0U0QIBAAAaIqxw8+CDD2ru3LmaN2+eoqKiQu2DBg3Shg0bIlYcAABAQ4UVbjZt2qSLL774qPaUlBQdOHCgsTUBAACELaxwk56eXue7I1asWKHOnTs3uigAAIBwhRVubr75Zo0fP16rV6+WZVn67rvv9Mwzz+iOO+7QrbfeGukaAQAA6q3et4IfaeLEibJtW5deeqnKysp08cUXKyYmRnfccYd++9vfRrpGAACAegtr5MayLN1zzz3at2+fNm7cqFWrVmnPnj2aOnVqpOsDAADN1I4dO3T99derdevWiouLU/fu3bVu3Tqnywpv5OaQ6OhodevWLVK1AACAk8T+/fs1aNAgDRkyRG+//bZOO+00ffXVV2rZsqXTpTUu3AAAgFPTww8/rMzMTM2fPz/U1qlTJwcrOiys01IAAKBpGGMUDFQ4Mhlj6l3n66+/rr59++rqq69WamqqevfurXnz5jVhz9QfIzcAADQjdlWlNsxx5s7j82+dI29UTL223bp1q+bMmaPc3Fz94Q9/0Nq1azVu3DhFR0crJyeniSs9PsINAABoMNu21bdv39Brl3r37q2NGzdq7ty5hBsAAHCYxxet82+d49ix66tt27ZH3VR0zjnn6KWXXop0WQ1GuAEAoBmxLKvep4acNGjQIG3atKlW2+bNm9WhQweHKjqMC4oBAECD/e53v9OqVav00EMPacuWLVq4cKEef/xxjR071unSCDcAAKDhLrjgAr3yyit69tlndd5552nq1KnKy8vTyJEjnS6N01IAACA8V1xxha644gqnyzgKIzcAAMBVCDcAAMBVCDcAAMBVCDcAAMBVmkW4mT17tjp27KjY2Fj1799fa9asqdd+zz33nCzL0lVXXdW0BQIAgJOG4+Hm+eefV25uru677z5t2LBBPXv21NChQ7V79+7j7vfNN9/ojjvu0EUXXXSCKgUAACcDx8PNrFmzdPPNN2vMmDHq1q2b5s6dq/j4eD355JPH3CcYDGrkyJF64IEH1Llz5+N+f0VFhfx+f60JAAC4l6PhprKyUuvXr1dWVlaozePxKCsrSytXrjzmfn/84x+Vmpqqm2666UePMX36dKWkpISmzMzMiNQOAACaJ0fDzd69exUMBpWWllarPS0tTYWFhXXus2LFCv3jH//QvHnz6nWMSZMmqaioKDR9++23ja4bAAA0XyfVE4qLi4t1ww03aN68eWrTpk299omJiVFMTPN/ARkAAIgMR8NNmzZt5PV6tWvXrlrtu3btUnp6+lHbf/311/rmm280bNiwUJtt25Ikn8+nTZs26YwzzmjaogEAgDp27Kht27Yd1X7bbbdp9uzZDlR0mKOnpaKjo9WnTx8tXbo01GbbtpYuXaoBAwYctX3Xrl316aefKj8/PzT94he/0JAhQ5Sfn8/1NAAAnCBr167Vzp07Q9OSJUskSVdffbXDlTWD01K5ubnKyclR37591a9fP+Xl5am0tFRjxoyRJI0aNUrt2rXT9OnTFRsbq/POO6/W/i1atJCko9oBAEDTOe2002p9njFjhs444wxdcsklDlV0mOPhZvjw4dqzZ4+mTJmiwsJC9erVS++8807oIuPt27fL43H8jnUAAE4IY4wUNM4c3GvJsqwG71ZZWamnn35aubm5Ye0faZYxxqEedIbf71dKSoqKioqUnJzsdDkAgFNceXm5CgoK1KlTJ8XGxspU2Qq+sdORWrxXtJXla/iAwqJFi3Tddddp+/btysjICPv4P+yLIzXk95shEQAA0Cj/+Mc/lJ2d3ahgE0mOn5YCAABH8FryXtHWsWM31LZt2/Tuu+/q5ZdfboKCwkO4AQCgGbEsS/I5f91Kfc2fP1+pqam6/PLLnS4lhNNSAAAgLLZta/78+crJyZHP13zGSwg3AAAgLO+++662b9+uG2+80elSamk+MQsAAJxULrvsMjXHm64ZuQEAAK5CuAEAAK5CuAEAAK5CuAEAAK5CuAEAAK5CuAEAAK5CuAEAAK5CuAEAAK5CuAEAAK5CuAEAAK5CuAEAAA0WDAY1efJkderUSXFxcTrjjDM0derUZvE6Bt4tBQAAGuzhhx/WnDlz9NRTT+ncc8/VunXrNGbMGKWkpGjcuHGO1ka4AQAADfbRRx/pyiuv1OWXXy5J6tixo5599lmtWbPG4coINwAANCvGGFVVVTlybJ/PJ8uy6rXtwIED9fjjj2vz5s0666yz9Mknn2jFihWaNWtWE1f54wg3AAA0I1VVVXr88ccdOfYtt9yiqKioem07ceJE+f1+de3aVV6vV8FgUNOmTdPIkSObuMofR7gBAAANtmjRIj3zzDNauHChzj33XOXn52vChAnKyMhQTk6Oo7URbgAAaEZ8Pp9uueUWx45dX3feeacmTpyoa6+9VpLUvXt3bdu2TdOnTyfcAACAwyzLqvepISeVlZXJ46n9RBmv1yvbth2q6DDCDQAAaLBhw4Zp2rRpat++vc4991x9/PHHmjVrlm688UanSyPcAACAhvvrX/+qyZMn67bbbtPu3buVkZGh//qv/9KUKVOcLo1wAwAAGi4pKUl5eXnKy8tzupSj8PoFAADgKoQbAADgKoQbAADgKoQbAADgKoQbAADgKoQbAADgKoQbAADgKoQbAADgKoQbAADgKoQbAADgKoQbAAAQluLiYk2YMEEdOnRQXFycBg4cqLVr1zpdFuEGAACE59e//rWWLFmif/7zn/r000912WWXKSsrSzt27HC0LsINAABosIMHD+qll17SI488oosvvlhdunTR/fffry5dumjOnDmO1sZbwQEAaEaMMZIpd+bgVqwsy6rXplVVVQoGg4qNja3VHhcXpxUrVjRFdfVGuAEAoDkx5dr3vxc5cuhWp38oWXH12jYpKUkDBgzQ1KlTdc455ygtLU3PPvusVq5cqS5dujRxpcfHaSkAABCWf/7znzLGqF27doqJidFf/vIXjRgxQh6Ps/GCkRsAAJoTK7Z6BMWhYzfEGWecoQ8++EClpaXy+/1q27athg8frs6dOzdRgfVDuAEAoBmxLKvep4aai4SEBCUkJGj//v1avHixHnnkEUfrIdwAAICwLF68WMYYnX322dqyZYvuvPNOde3aVWPGjHG0Lq65AQAAYSkqKtLYsWPVtWtXjRo1ShdeeKEWL16sqKgoR+ti5AYAAITlmmuu0TXXXON0GUdh5AYAALgK4QYAALgK4QYAALgK4QYAALgK4QYAALgK4QYAALgK4QYAALgK4QYAALgK4QYAALgK4QYAALgK4QYAAIRl+fLlGjZsmDIyMmRZll599dVa640xmjJlitq2bau4uDhlZWXpq6++avK6CDcAACAspaWl6tmzp2bPnl3n+kceeUR/+ctfNHfuXK1evVoJCQkaOnSoysvLm7QuXpwJAEAzYoxRRdCZY8d4Jcuy6r19dna2srOz61xnjFFeXp7uvfdeXXnllZKk//f//p/S0tL06quv6tprr41IzXUh3AAA0IxUBKWcxXscOfZTQ09TbISSQUFBgQoLC5WVlRVqS0lJUf/+/bVy5comDTfN4rTU7Nmz1bFjR8XGxqp///5as2bNMbedN2+eLrroIrVs2VItW7ZUVlbWcbcHAAAnXmFhoSQpLS2tVntaWlpoXVNxfOTm+eefV25urubOnav+/fsrLy9PQ4cO1aZNm5SamnrU9suWLdOIESM0cOBAxcbG6uGHH9Zll12mzz77TO3atXPgLwAAIHJivNUjKE4d2w0cH7mZNWuWbr75Zo0ZM0bdunXT3LlzFR8fryeffLLO7Z955hnddttt6tWrl7p27aonnnhCtm1r6dKlJ7hyAAAiz7IsxfqcmRpyvc2PSU9PlyTt2rWrVvuuXbtC65qKo+GmsrJS69evr3U+zuPxKCsrSytXrqzXd5SVlSkQCKhVq1Z1rq+oqJDf7681AQCAptWpUyelp6fXGnzw+/1avXq1BgwY0KTHdjTc7N27V8FgsFHn4+6++25lZGTUCkhHmj59ulJSUkJTZmZmo+sGAABSSUmJ8vPzlZ+fL6n6IuL8/Hxt375dlmVpwoQJevDBB/X666/r008/1ahRo5SRkaGrrrqqSety/JqbxpgxY4aee+45LVu2TLGxsXVuM2nSJOXm5oY++/1+Ag4AABGwbt06DRkyJPT50O9tTk6OFixYoLvuukulpaW65ZZbdODAAV144YV65513jvmbHSmOhps2bdrI6/WGdT7uT3/6k2bMmKF3331XPXr0OOZ2MTExiomJiUi9AADgsMGDB8sYc8z1lmXpj3/8o/74xz+ewKocPi0VHR2tPn361Dofd+ji4OOdj3vkkUc0depUvfPOO+rbt++JKBUAAJwkHD8tlZubq5ycHPXt21f9+vVTXl6eSktLNWbMGEnSqFGj1K5dO02fPl2S9PDDD2vKlClauHChOnbsGLo2JzExUYmJiY79HQAAoHlwPNwMHz5ce/bs0ZQpU1RYWKhevXrpnXfeCV1kvH37dnk8hweY5syZo8rKSv3qV7+q9T333Xef7r///hNZOgAAaIYsc7yTZS7k9/uVkpKioqIiJScnO10OAOAUV15eroKCAnXq1KnJL7Rt7o7XFw35/Xb8IX4AAACRRLgBAACuQrgBAACuQrgBAACuQrgBAACuQrgBAACuQrgBAABhWb58uYYNG6aMjAxZlqVXX3211vqXX35Zl112mVq3bi3LskIv2GxqhBsAABCW0tJS9ezZU7Nnzz7m+gsvvFAPP/zwCa3L8ScUAwCAw4wxKqsMOnLs+GivLMuq9/bZ2dnKzs4+5vobbrhBkvTNN980trQGIdwAANCMlFUGlXTP244cu3hathJiTv5owGkpAADgKid/PMMJZ4yRglUywYCMXVW9bFfJVP3gczBwxHLN59ByVc1y4IjlH2xT851Hfj7WcWvt84Pjqmb7o45zjNpaXDRaacMfcbqbAZyi4qO9Kp527FM9TX1sNyDcRIixbZnKsjp/hEM/qnX8+B/5g3vkj/3xfvxrf0fNj/fxfvzrChBH7l+f4xwRIGRsp7u7SQXLipwuAcApzLIsV5wachK9FyEHv16lbx4c5HQZzvL6ZHmjZHl81csen6yaNh1a9vgkX1RoXXV71BHLh/aLqvUdqtkm9N3HOs4P9zneceo4rrxR8ia2cronAQCNQLiJEMvj+2FD3T/Kx/iRPf6Pf10/5vX78T/mcX7w+cgf/1rH8UXVK3TI8jToCnsAwMmvpKREW7ZsCX0uKChQfn6+WrVqpfbt22vfvn3avn27vvvuO0nSpk2bJEnp6elKT09vsroINxHiSYpW/AUp8sS2lCe2lbyxrQ4vx1TPq9sPLbes2aaVLF88wQAAcNJZt26dhgwZEvqcm5srScrJydGCBQv0+uuva8yYMaH11157rSTpvvvu0/33399kdRFuIqSkdL9MVZmCJWUKluxQoCE7e6PljTkiDMX+IAzF1A5Dh5at6GRCEQDAMYMHD66+yeQYRo8erdGjR5+4gmoQbiJkX9IFmtXx34oLHlB88IDi7Op5vH1AccEDSrAPKMlUz+OCBxQbLFJM1X55TEAKVipYVqhgWWHDDmp55YlpUWfw8cQcIyjFtpInpsXRp9EAAHAJfuEiJC4mVme3P0ulAaPSgK3dAaPSKlulASP7WKHWGEWZg0eEoP21gtGRASnRPqAEu6gmGO2Xzz4omaDs8u9ll3+vqgbW64lOCYWhOk+X1RotOnx6zfLFNLarAABoUoSbCDk9yacJ56cc1W6MUXnQqDRgVBKwVRY4vFwdhBJUGmit0tBnW/sCRmVV1cuBY9x17bPLFVcTduIPhaEjRopC8+ABJZgDSggeUGzwgGLsYkmSXVkku7JI8hc06O+0ohJ+cB3RDwLQoeWY2qNGli+OU2gAgBOCcBMhJSUl+uSTTxQVFSWfz6eoqKijluN9PqVERcmXcKgtWh7P8e8yqgweGYSOnCeqJNBaZVWH20oCRrtrAlRJwKgiePSQkccEFBf0/2B0qO4Ro0On0+LtIsUGD8iSkQmUKhgoVbD42wb1j+WNOTxSFNOS64oAAE2GcBMhJSUlYb3K3bKsUACqKxTV1Zbi86nNoc9xUfIl1b2f5fWprEo/CEVGJYGWKg20V1nV4eB0IGBrxxHblFXVDkaWsRVr+w+PFtVxXVGdp9SC++VVlUywQsHSnQqW7mxgB3lrgs6hAPSD64piWsqKblG9LrqFrJiW8kS1kOVLkSyvZJvqi92MZGwT+mzsY7dFJUUr9rSEBv+3BAA0D4SbCImLi1OvXr0UCARUVVWlQCBQvRyoUqCq9nJVVZVsu/p8kzEmtG1T8Hq88nm8NXOfvB6vvFZ1W6LHqxZW9Wev5ZHP8spjeeWTV5blUUBRqrJ8ClhRqpRPlR6fKpSsCk9LVXi8Krc8KpWlvbJ00PKo3Do8tw+NthijaFP2g9Nn+2udPjvWKbVoU159XdHBvbIP7m3w327biTJ2ooxJkrGTZNfMDy8nVn82SbJr5sZOVJv+HdXhqq4R/i8BADhRCDcRsn9npV59s1QJRkqQlGC81ZNlKVlSgizFS6FTLLaMbMuWbdkKeo5YtkxNm13TZhQMbVf7s22ZOrezPYdHXYJ2UEE72CR/c6yR4o1HHuOR17aq58Yjy3hkW1GyrWhVeaIV9EQr4IlSlTdaAU+6Ap5MFXuj9L3Xp0qfT5UxUar0eVXh9anC51XQU/0+V599UHF20bFHh34QiA6ti7VLJEkeT4nkKZHUwLvQiq6W9ExkOwsAcMIQbiKkwF+uRysrjruNpZrgI6t6bllKkKVES0qwPEq0vErwWEq0LCV6PEr0Wkq0qucJHkst5FGC5VGC15LX45HlsarDkseSZal67qkJTx6joBUMhSVbdnX4ka1gzXJQQQVV3VZlqj8Fja2gOTyvMsHqz3b1vMoOyqg6PBlLNd9jK/Aj71rzSIoOVk/HYyTZlldVnigZX5xMVJzsqFjZvkQFfa11MCZGJZ4oBbzRCoRGlbyqkFcVxqOA8dRcV1R03NNldQWkOLtIHhkVJLZSh3r8NwcANE+EmwhJbZesa7qlyV9RJX9lUMWVVfJXBFVcUaWiiioF7epIUCKppCYc6NCDj479/KNjSozxKjkmSsmxPqXE+pQc61NyTJSSYr01yz4lx0Ydseyr2TYq9Dkpxief19PgYweDwVqn32qdhjtGW322CQQCCgaD8pqgvMGgFCyXKvY3qDZbHlXVjBJVeaJU5YlWlSdRxZ5W2ueJVtAXpUB0tILeaAW9MaHtAlaUgvIo1vard0KZBje4VwAAzQXhJkLOTv1ec4ZOk+VJksebLMtzxGQlq8JOVnEgSSWVCSoJxMtfEaviyhj5KzwqrqiqDkXlVfKXB6o/l9dMFQEV1SwXlQcUqLkDqqQiqJKKoL7zN67u+ChvKPgcGYhSYn1KOiIIHQ5IUbXCUnJsvFKSohTta3hIqott27XCT31D0bHDVFn1cnl1+/GepGlkqcoTpa7ncL0NAJzMCDcRYoL7ZQd3SEEpeIxrgxNqpjSvpPiaST5ZnmR5jgxDniR5PCmyPEmyvCnyeJJk1XwO2EkqroxXcWWciislf3mgJgQdDkCHglF1SKq93l/TdrDmATplgaDKAkEVFh//lNqPifV56g4/MTUhqWY55dDyMQJTjM+j6OhoRUdHN6qeuhhjFAwG6wxHRy63aNEi4scGADdavny5Zs6cqfXr12vnzp165ZVXdNVVV0mSAoGA7r33Xr311lvaunWrUlJSlJWVpRkzZigjI6NJ6yLcRIgvuquS056Usf0ytl92zdzYxbKDRTJ2sYxdPa9eVySpSlKVjL1PQXtf/Y8lqaWklla8PLFJsuJTagLR4YBUKyx5k+XxtDxiJClBVbZqjQ4dXj46EBUfCk1HjC4dWi6trL6IprzKVnlJpXaXVDaqH6O8VnUIijty1Kg6ECUdIxDVFZjiorxHPR/n0G33Pp9PsbGxjaoTACCVlpaqZ8+euvHGG/XLX/6y1rqysjJt2LBBkydPVs+ePbV//36NHz9ev/jFL7Ru3bomrYtwEyGWJ0FRMT3qvX31s1fKZduHg499aB70HzE/YjLVwUimVNUPaSmTHSyTgrsaWq0OjSMlK0EpJl7yJkjx8TLx8bJMvIyJk0y8ZMdJJk7GjpNMrIztk4xPRh7JjlIgGFRpwJa/0qiksnpeXGmrOGBUXGlUHDAqCeiIuVRSVT2vXrZCkyQFgkbflwX0fVnjbo33yijBG1SiN6gEz5HzKiV4qpTgCSrBE1Cip0rxVpUSPQHFW1VKsCrVtVsP9fvpNY06PgCEyxgjU1XmyLEtX3yDHpyanZ2t7OzsOtelpKRoyZIltdoee+wx9evXT9u3b1f79u0bVevxEG4ipGzPdn39zt8l1Tw0zrar7yqy7ZogU9fclow5al63mJqpjSQjT1RQnuigvDVzT1RQ3uiquttDy1Xy+Ix0xKXNUvVdT5KqM4/qvr750CYmaMmu9MoOeBWs8skOeBVd6VXLgFcplV61DXgVDHhlB6rXBQPe0PaSVf2/OJ+kHwyc2EYqMz6V2j6VmqjquR2lUlMzr7O97m1sWQrKkj/okz/Y8P+JX2Mq9NxPG7wbAESEqSrTttktHTl2h7H7ZUU13UNMi4qKZFlWk5/+J9xEiF0VUPn+Bj59N2yW7ECU7KpoBS1Lsmpe4XBo7vHIUs081F6z7DXVYSeqJuyEpoA8vuq55QvIUzNZvkp5vNVzyzLyeI08cVVSXJWkhl2nY+wYmWBszQhQbM1oUJxkx8mY+OrlQ3MlVC8rQZYVI8kjy+ORLEuWdeS89t9oJJUFrepRoiqppLJmBKmqel5yaESp0pa/0lZxpamZ2yquCKq40lbnzpmR/08GAKe48vJy3X333RoxYoSSk5Ob9FiEmwiJjUvTeX3vlSyretKhB/ZVT9VNdayzVP1DfWhs5Kj1R7bXbHfou5pasGaSap5tUybbKpax/DJWiYxVXD15ig8vh6YS2TXbyaoeXrU8FbI8FZKKGlaH8ckyibJMcs08qdbkMUmy7MOfk0yS0q1EWb4kWb6omgu3689qFfmLmQGgvixfvDqMbdhjMCJ57KYQCAR0zTXXyBijOXPmNMkxjkS4iRCvHS3tjmnAHodODzVMGI/EiSiPEiUlNmgfoyoZX4mMt+ToeWi5WMZXWj0/Yr08VZJVJWMdkNGBhhccjJUVTJRVlSQrmHB4HkySVZVYsy5Rnpq5FUySJ5guT7u4hh8LACLAsqwmPTV0oh0KNtu2bdN7773X5KM2EuEmcmI9ss5s2I/+qaJ6jKlF/TY2OnQTWc1oUXnNKJG/ZtSoetmo5OgRpCMnlUqWkbzlMt5ymej6v5sq2spWkqY29M8EAPzAoWDz1Vdf6f3331fr1q1PyHEJNxFixfvkPTfF6TJQw5igjF1yxJ1o/jpu0z+0fORt+kXyJDpzIR8AnGxKSkq0ZcuW0OeCggLl5+erVatWatu2rX71q19pw4YNeuONNxQMBlVYWP2uv1atWjXJ88wOIdzAlSzLK8ubInlTJJ3eoH2NsZumKABwmXXr1mnIkCGhz7m5uZKknJwc3X///Xr99dclSb169aq13/vvv6/Bgwc3WV2EG+AHLCsyr5IAALcbPHjw8V9rc5x1TYl/xQEAgKsQbgAAgKsQbgAAgKsQbgAAgKsQbgAAaAacuvi2OYlUHxBuAABwkNfrlSRVVlY6XInzDvXBoT4JF7eCAwDgIJ/Pp/j4eO3Zs0dRUVHyeE7NcQfbtrVnzx7Fx8fL52tcPCHcAADgIMuy1LZtWxUUFGjbtm1Ol+Moj8ej9u3b17w8OnyEGwAAHBYdHa0zzzzzlD81FR0dHZGRK8INAADNgMfjUWxsrNNluMKpeWIPAAC4FuEGAAC4CuEGAAC4yil3zc2hBwT5/X6HKwEAAPV16He7Pg/6O+XCTXFxsSQpMzPT4UoAAEBDFRcXKyUl5bjbWOYUe96zbdv67rvvlJSU1Oj76H/I7/crMzNT3377rZKTkyP63TiMfj4x6OcTg34+cejrE6Op+tkYo+LiYmVkZPzo7eKn3MiNx+PR6aef3qTHSE5O5v84JwD9fGLQzycG/Xzi0NcnRlP084+N2BzCBcUAAMBVCDcAAMBVCDcRFBMTo/vuu08xMTFOl+Jq9POJQT+fGPTziUNfnxjNoZ9PuQuKAQCAuzFyAwAAXIVwAwAAXIVwAwAAXIVwAwAAXIVwEyGzZ89Wx44dFRsbq/79+2vNmjVOl3RSmz59ui644AIlJSUpNTVVV111lTZt2lRrm/Lyco0dO1atW7dWYmKi/s//+T/atWuXQxW7w4wZM2RZliZMmBBqo58jZ8eOHbr++uvVunVrxcXFqXv37lq3bl1ovTFGU6ZMUdu2bRUXF6esrCx99dVXDlZ88gkGg5o8ebI6deqkuLg4nXHGGZo6dWqt9xHRzw23fPlyDRs2TBkZGbIsS6+++mqt9fXp03379mnkyJFKTk5WixYtdNNNN6mkpKRpCjZotOeee85ER0ebJ5980nz22Wfm5ptvNi1atDC7du1yurST1tChQ838+fPNxo0bTX5+vvn5z39u2rdvb0pKSkLb/OY3vzGZmZlm6dKlZt26deY//uM/zMCBAx2s+uS2Zs0a07FjR9OjRw8zfvz4UDv9HBn79u0zHTp0MKNHjzarV682W7duNYsXLzZbtmwJbTNjxgyTkpJiXn31VfPJJ5+YX/ziF6ZTp07m4MGDDlZ+cpk2bZpp3bq1eeONN0xBQYF54YUXTGJiovnzn/8c2oZ+bri33nrL3HPPPebll182kswrr7xSa319+vRnP/uZ6dmzp1m1apX58MMPTZcuXcyIESOapF7CTQT069fPjB07NvQ5GAyajIwMM336dAercpfdu3cbSeaDDz4wxhhz4MABExUVZV544YXQNl988YWRZFauXOlUmSet4uJic+aZZ5olS5aYSy65JBRu6OfIufvuu82FF154zPW2bZv09HQzc+bMUNuBAwdMTEyMefbZZ09Eia5w+eWXmxtvvLFW2y9/+UszcuRIYwz9HAk/DDf16dPPP//cSDJr164NbfP2228by7LMjh07Il4jp6UaqbKyUuvXr1dWVlaozePxKCsrSytXrnSwMncpKiqSJLVq1UqStH79egUCgVr93rVrV7Vv355+D8PYsWN1+eWX1+pPiX6OpNdff119+/bV1VdfrdTUVPXu3Vvz5s0LrS8oKFBhYWGtvk5JSVH//v3p6wYYOHCgli5dqs2bN0uSPvnkE61YsULZ2dmS6OemUJ8+XblypVq0aKG+ffuGtsnKypLH49Hq1asjXtMp9+LMSNu7d6+CwaDS0tJqtaelpenLL790qCp3sW1bEyZM0KBBg3TeeedJkgoLCxUdHa0WLVrU2jYtLU2FhYUOVHnyeu6557RhwwatXbv2qHX0c+Rs3bpVc+bMUW5urv7whz9o7dq1GjdunKKjo5WTkxPqz7r+LaGv62/ixIny+/3q2rWrvF6vgsGgpk2bppEjR0oS/dwE6tOnhYWFSk1NrbXe5/OpVatWTdLvhBs0e2PHjtXGjRu1YsUKp0txnW+//Vbjx4/XkiVLFBsb63Q5rmbbtvr27auHHnpIktS7d29t3LhRc+fOVU5OjsPVuceiRYv0zDPPaOHChTr33HOVn5+vCRMmKCMjg34+hXBaqpHatGkjr9d71N0ju3btUnp6ukNVucftt9+uN954Q++//75OP/30UHt6eroqKyt14MCBWtvT7w2zfv167d69W+eff758Pp98Pp8++OAD/eUvf5HP51NaWhr9HCFt27ZVt27darWdc8452r59uySF+pN/Sxrnzjvv1MSJE3Xttdeqe/fuuuGGG/S73/1O06dPl0Q/N4X69Gl6erp2795da31VVZX27dvXJP1OuGmk6Oho9enTR0uXLg212batpUuXasCAAQ5WdnIzxuj222/XK6+8ovfee0+dOnWqtb5Pnz6Kioqq1e+bNm3S9u3b6fcGuPTSS/Xpp58qPz8/NPXt21cjR44MLdPPkTFo0KCjHmewefNmdejQQZLUqVMnpaen1+prv9+v1atX09cNUFZWJo+n9k+b1+uVbduS6OemUJ8+HTBggA4cOKD169eHtnnvvfdk27b69+8f+aIifonyKei5554zMTExZsGCBebzzz83t9xyi2nRooUpLCx0urST1q233mpSUlLMsmXLzM6dO0NTWVlZaJvf/OY3pn379ua9994z69atMwMGDDADBgxwsGp3OPJuKWPo50hZs2aN8fl8Ztq0aearr74yzzzzjImPjzdPP/10aJsZM2aYFi1amNdee838z//8j7nyyiu5RbmBcnJyTLt27UK3gr/88sumTZs25q677gptQz83XHFxsfn444/Nxx9/bCSZWbNmmY8//ths27bNGFO/Pv3Zz35mevfubVavXm1WrFhhzjzzTG4Fb+7++te/mvbt25vo6GjTr18/s2rVKqdLOqlJqnOaP39+aJuDBw+a2267zbRs2dLEx8eb//zP/zQ7d+50rmiX+GG4oZ8j57//+7/NeeedZ2JiYkzXrl3N448/Xmu9bdtm8uTJJi0tzcTExJhLL73UbNq0yaFqT05+v9+MHz/etG/f3sTGxprOnTube+65x1RUVIS2oZ8b7v3336/z3+ScnBxjTP369PvvvzcjRowwiYmJJjk52YwZM8YUFxc3Sb2WMUc8thEAAOAkxzU3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AADAVQg3AJqtwYMHa8KECSf9MQCcWIQbAADgKoQbAADgKoQbACeF/fv3a9SoUWrZsqXi4+OVnZ2tr776KrT++++/14gRI9SuXTvFx8ere/fuevbZZ2t9R2lpqUaNGqXExES1bdtWjz766In+MwCcAIQbACeF0aNHa926dXr99de1cuVKGWP085//XIFAQJJUXl6uPn366M0339TGjRt1yy236IYbbtCaNWtC33HnnXfqgw8+0GuvvaZ//etfWrZsmTZs2ODUnwSgifBWcADN1uDBg9WrVy+NHTtWZ511lv79739r4MCBkqpHajIzM/XUU0/p6quvrnP/K664Ql27dtWf/vQnlZSUqHXr1nr66adD2+/bt0+nn366brnlFuXl5Z2oPwtAE/M5XQAA/JgvvvhCPp9P/fv3D7W1bt1aZ599tr744gtJUjAY1EMPPaRFixZpx44dqqysVEVFheLj4yVJX3/9tSorK2t9R6tWrXT22Wef2D8GQJMj3ABwhZkzZ+rPf/6z8vLy1L17dyUkJGjChAmqrKx0ujQAJxjX3ABo9s455xxVVVVp9erVobbvv/9emzZtUrdu3SRJ//73v3XllVfq+uuvV8+ePdW5c2dt3rw5tP0ZZ5yhqKioWt+xf//+WtsAcAfCDYBm78wzz9SVV16pm2++WStWrNAnn3yi66+/Xu3atdOVV14Z2mbJkiX66KOP9MUXX+i//uu/tGvXrtB3JCYm6qabbtKdd96p9957Txs3btTo0aPl8fDPIOA2/L8awElh/vz56tOnj6644goNGDBAxhi99dZbioqKkiTde++9Ov/88zV06FANHjxY6enpuuqqq2p9x8yZM3XRRRdp2LBhysrK0oUXXqg+ffo48NcAaErcLQUAAFyFkRsAAOAqhBsAAOAqhBsAAOAqhBsAAOAqhBsAAOAqhBsAAOAqhBsAAOAqhBsAAOAqhBsAAOAqhBsAAOAqhBsAAOAq/x9+c2BXwXvbIAAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# x axis: exploits\n",
"# y axis: speedup and eff\n",
"# At each xtick: compartments 0-100 for appl. Min, mean, max for each?\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"exploit\", \"nodes\"], values=[\"efficiency\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"exploit\", y=\"efficiency\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv).set(title='Mean Efficiency for the Exploit Parameter\\n Across the Number of Compute Nodes')\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"appl\", \"nodes\"], values=[\"efficiency\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"appl\", y=\"efficiency\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv).set(title='Mean Efficiency for the Applicable Exploit Parameter\\n Across the Number of Compute Nodes')\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"load\", \"nodes\"], values=[\"efficiency\"], aggfunc='mean').to_records())\n",
"tmp_pv['load'] = tmp_pv['load'].replace(395,0)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(296,25)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(197,50)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(79,75)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(1,100)\n",
"ax = sns.lineplot(x=\"load\", y=\"efficiency\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv).set(title='Mean Efficiency for the Database Load Parameter\\n Across the Number of Compute Nodes')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Linear Regression"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Indiv Vars\n",
"### Linear Regression - Overall Runtime\n",
"#### Nodes"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 303728.87235091545\n",
" Predictor coefficient\n",
"0 nodes -32534.157117\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 442361.0172\n",
" Mean Absolute Error (MAE) : 198916.6752\n",
" Mean Percentage Error (MPE) : -3076.0279\n",
"Mean Absolute Percentage Error (MAPE) : 3664.0029\n"
]
}
],
"source": [
"predictors = ['nodes']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.06488133316235689\n",
" Predictor coefficient\n",
"0 nodes -0.085788\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.1060\n",
" Mean Absolute Error (MAE) : 0.0477\n",
" Mean Percentage Error (MPE) : -32832.1198\n",
"Mean Absolute Percentage Error (MAPE) : 33548.5134\n"
]
}
],
"source": [
"scaler = preprocessing.MinMaxScaler()\n",
"d = scaler.fit_transform(timing_df)\n",
"normalized_df = pd.DataFrame(d, columns=timing_df.columns)\n",
"\n",
"predictors = ['nodes']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = normalized_df[predictors]\n",
"overall_y = normalized_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Exploit"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -8788.042556187662\n",
" Predictor coefficient\n",
"0 exploit 50.283347\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 197437.6040\n",
" Mean Absolute Error (MAE) : 62749.3897\n",
" Mean Percentage Error (MPE) : 180.5994\n",
"Mean Absolute Percentage Error (MAPE) : 275.3917\n"
]
}
],
"source": [
"predictors = ['exploit']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Appl"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 42450.91771345622\n",
" Predictor coefficient\n",
"0 appl 1748.317923\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 454831.8590\n",
" Mean Absolute Error (MAE) : 186480.9214\n",
" Mean Percentage Error (MPE) : -2691.9685\n",
"Mean Absolute Percentage Error (MAPE) : 2705.9283\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x6fd6c0c1dc30>]"
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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e1l32BwDMdW6N3lb6dfwJmh8KLAghhHyUIlLzseK0N0JT8sS2rx9pg+UfGMpgGAa/3gsVVR/9fkxHLOrTpsbX3nYnGAnZRTDTVcX6kTa1b3wzRoEFIYSQj85lr3isvugnsf3pmgFoo6/+3s8yDIMdd0NEuS1+HNsRC3rXPKh4HpaGs+5xAIBdU+yg/okMgZT5tH5aQgghH7XCEj42XwvCZe94se1muqp4vmYg5OSqruFRhmEYbLsTjIMv2QyZP43vhHk9LWp8/ZwiHtZdYodAFvSyqDZr58eMAgtCCCEfhZDkXHxxyhtR6QVi27dO6Iw5zq0/+HmGYbD1djAOv2KDip/Hd8LcWgQVALD11lsk5xbDQk8N/xtR/UqTjxkFFoQQQpo1hmFwziMOG64ESOx7vX4QTHRUa3SOn269xdHXMQBqHoxU9CQkBRe94sHhALum2kFN6dO8xX6aPzUhhJCPQl4xDxuvBuKmX6LY9s4mWri5sk+15csrYhgGW26+FSXN2jaxC2Y5mdeqHTmFPKy/zAY2i3u3gYOFbq0+/zGhwIIQQkizFJiQg89OeiEhu0hs++/T7TCxm2mNzsEwDH64EYQTLu8AADsmdcEMx9oFFQCw5WYQUvO4sNRXx5rhn+YQSBkKLAghhDQrDMPg+JsY/HjzrcQ+902DYaipUqPzCIUMvr8RiFOuseBwgF8n2WKag1mt2/MgKBlXfBIgxwF2T7ODimLVacE/FRRYEEIIaTZyCnn432U/3A9KEdveq60eTi9xqtHQB8AGFZuvB+K0W2lQMdkW03rUPqjIKijBxquBAICl/SzR3bxFrc/xsaHAghBCSLPgHZuFZSe8kJ7PFdu+b449RnRuVePzCIUMNl0LxFl3NqjYNcUOU+xrNnRS2Y83g5Cez4WVoQa+GdK+Tuf42FBgQQghRKYJhQwOvYrCtjshEvt8vx8KHTWlWp1r49UAnPOIA4cD7Jlqh0nd6xZU3AtMwnXfRMjLcbBnKg2BlKHAghBCiMzKLCjB6gu+eBqaJrZ9RKdW2Dune42HPgA2qFh/xR8XPOMhxwF+m9YVE7qZ1KldGflcbCodAlne3xJ2Zjp1Os/HiAILQgghMsktKgNLjnsij8sX235ikSP6tTeo1bkEQgbrLvvjkhcbVPw+vSvGd61bUAEA398IQkZBCaxbamLV4HZ1Ps/HiAILQgghMkUgZPDf0wjseRgmsS/gx2HQVFGs9fn+d8kfl73jIS/HwR/Tu2KsnXGd23fLPxG3/ZPYIZBpdlBWoCGQiiiwIIQQIjNS84rxzXlfvI7IENs+rYcpdk6xq/X5BEIGay/64YpPAuTlOPhzRleMsa17UJGWx8Xma+wQyIqBVuhsol3nc32sKLAghBAiE16Fp2PRMQ+UCIRi2y981hOObWqfyVIgZLD6gi+ulU6w/HtmN4zqYlTn9jEMg++uBSCrkIcORlpYOdCqzuf6mFFgQQghpEnxBUL8+Tgcfz+JkNgX/NMIqCrVfqiBLxBi9UU/XPdNhEJpUDGyHkEFANzwS8T9oBQolK4CUVKQq9f5PlYUWBBCCGkySTlF+OqsL9xjMsW2L+7TBpvHdKzTOfkCIb654IebfmxQ8c+s7rXKc1GV1NxifH89CACwanA7dDTWqtf5PmYUWBBCCGkST0NSsfCYh8T2Gyt7w9ZUp07n5AuE+Oq8L277J0FRnoN/Z3XHsE71CyoYhs19kVPEQ2cTLXw+oG29zvexo8CCEEJIo+IJhNh1PxQHXkSJbZeX4+DtT8PrvMqCJxDi63O+uB3ABhX/zbbH0I4t693eqz4JeBScCkV5DvZM7QpFeRoCeR8KLAghhDSauMxCrDzrA7+4bLHtXw1uh2+G1j0lNk8gxKqzPrgbmAwleTnsndMdgzvUP6hIzinGjzfYIZCvh7SHdSvNep/zY0eBBSGEEADsTf+aTwJWDrKqVUbLmroXmIzlp7wktj/4ph/at6z7DbuEL8SXZ71xPygFSvJy2De3OwbZ1D+oYBgGG674I7eYDztTbXzWz7Le5/wUUGBBCCEEANB351MAQHRGAX6b1lVq5+XyBdh+JwTH3sSIbddVV4L7xsFQqMfQQglfiJVnvPHgbQqUFOSwf649Blob1rPFrIte8XgamgYlBTnsnmpXr3Z+Sui3RAghBPufR4peX/FOgFDISOW8MekFmPDvG4mgYtOoDvDePLTeQcUXp8uDigNSDCoSs4vw8823AIDVQ9ujXT16VD411GNBCCEE2++KVw59Gppa7zkKN/wSseqsj8T2Z2sGwEJfvV7n5vIF+OKUNx6HpEJZQQ4H5/Wodf2Q6jAMW1ckj8tHN3MdLOlLQyC1QT0WhBDyiYtOL5DYduhldJ3PV8wTYMOVAImgoo2+OiK3jap3UFHME2D5SS9RUHFovvSCCgA45xGHl+HpUC4dApGXk/58k48ZBRaEEPKJG7j7mej1i7UDIS/HgUtUBgITcmp9rojUPIz+6yXOuseKbd82sQuerhlQ75t0MU+A5ae88DQ0DSqKcjiywAF920kvqIjPKsTWW+wQyNrh1mhroCG1c38qKLAghJBPGL9SXQ5zPTWMLk19feRV7XotLnnFY8hvLxCZJt4D8mb9IMxyMq9fQ8EGFctOeuFZWVAx3wG9rfTrfd4ywtIqqAUlAvRo3QILe7eR2rk/JRRYEELIJ2zWITfR67tf9QUALOnL3lBv+CUiOaf4g+co4PLx7QVfrLnoJ7bdzkwHUdtGwVhHtd7tLOYJsPSEJ16EpUFVUR5HFziilxSDCgA47R6LN5EZUFGUwy4aAqkzCiwIIeQT5h5dXqOjgxFb/8LWVAeOFrrgCxmccIl57+eDk3Ix4s8XuOKdILb9zxldcX1Fb8hJ4eZcVCLAkuOeeBmezgYVCx3Qs61evc9bUWxGIbbfCQYArBthgzb1nAfyKaPAghBCPlE3/RJFr1cMFK9/sbi01+K0WywKS/gSn2UYBqfd3mHkny8Rl1kkts9j0xCM72oilTYWlQiw5IQHXkWkQ01JHscWOsDZUrpBhVDIYO0lPxSWCODYRhfze1pI9fyfGgosCCHkE/VlhVUba4fbiO0b0qElWuupIaeIh8te8WL78op5+PKsDzZdDRTb3redPqK3j4KBprJU2ldYwseiYx54HZEBdSV5HF/kCCcpBxUAcMIlBm7RmVBTksfuKXZS6WX5lFFgQQghn6DUvPK5E4rykjdSeTkOFpVOXjz8KlqUMCsgPgeD9zzHLf8kseMPzLXHycVOUksFXhZUuESVBxUOFrpSOXdFMekF2HGPzeGxYaQNzPXUpH6NTw0lyCKEkE+Q4y+PRa89vxta5TFT7E2x50EoYjIK8Sg4BQnZRdhSmo2yIt/vh0JHTUlqbSvg8rHwmAfcozOhoayA44scYN9a+kGFQMhgzUU/FPOE6NVWD7OdWkv9Gp8iCiwIIeQTI6iUrltbVbHK49SVFTDLqTX2PY/EspOSxcNGdzHCP7O6SbVgWQGXj4VHPeAekwlNZQUcX+yI7uYtpHb+io6+jobnuyyoK8nj18m2NAQiJRRYEELIJ2bT1QDR62MLHd57rK2pdpXbTy12Qp920l3umc/lY+FRd3jEZEFTWQEnFjuiWwMFFZFp+dh1PxQAsGl0R5jp0hCItFBgQQghn5hzHnGi1wOqKdolFDI48DIKOyrVEAGAwC3DoaEs3dtHXjEPC456wOtdFjRVFHBysRO6mulI9RplyoZAuHwh+rbTx0xHswa5zqeKAgtCCPmEvIlMF70e1aVVlcdk5HPx7QU/PA9Lk9jnsmFQgwQV84+4wzs2G1oqCji1xAm2pjpSvUZFh15GwSc2G5rKCvh1sq1Uh3IIrQohhJBPyqyD5Zk2/57ZXWK/a1QGeu54IhFUlK0cOf7mnVTbk1vMw7zSoEJbVRGnlzg3aFARnpKHPQ/DAACbx3SUSlZQIo4CC0II+UTkFPLE3ldMWS0QMvjrcThmHHBFCV+8fkjwTyPw32x7AMAZt3co4EomzKpTe4p4mHvYHT6ioMIJXaqZ0yENfIEQay76oYQvxABrA0ztYdpg1/qUUWBBCCGfiEF7nolev/zfQNHr1LxizDnkht9Kn+TLLOtniZgdo6GqJI/BNoaw0FNDbjEflyolzKqLnCIe5h12g19cNnTU2KCis0nDBRUAsP9FFPzic6CpooAdk2gIpKFQYEEIIZ8AgZBBRkGJ6H3ZKoiX4Wlw/OUxXKIyxI6/9WUfbBzVQfReTo6DxX3YhFlHXkdLLFmtjZxCHuYedoNffA5aqCnizBLnBg8qQpJz8ccjNnD6cWwntNJWadDrfcoosCCEkE/AP08iRK9/ntAZfIEQu+6HYO5hd7HjlBTkELp1RJU3+sn2ptBWVcS70oRZdZFdWILZh13hH58DXXUlnFnqjI7GWnU6V03xSodAeAIGQzoYYlJ36dQxIVWjwIIQQj4Bvz8qH+YY0sEQ0w+44t+nkWLHfDu0PcK2joSygnyV51BTUsBsJ3MAwOGX0bVuQ3ZhCWYfckNgQm5pUOEkqqjakPY+i0RgQi60VRWxbWIXGgJpYBRYEELIRy4wIUfsfc/tT+D1Lkts28Nv+mHV4HYfPNf8XhZQlOfAPSYTfnHZNW5DVkEJZh10Q1BiLvTUlXB2qTNsWjV8UBGUmIO/HocDAH4a3wmGWjQE0tAosCCEkI/cmL9fVbvPQFMZ4b+MRLuWmjU6V0stFYy1NQbAFiericyCEsw65Ia3SbnQ11DC2WXOsG5Vs+vVRwlfiDUX/cEXMhjeqSXG2Rk3+DUJBRaEEPJRyy3mVbtv85iO8Ng0BIrytbsVLCqdxHk7IAmJ2UXvPTYjn4tZB10RnJQLfQ1lnF3qjPY1DGLq65+nEQhOykULNUVsnUBDII2lVt+mvXv3wtbWFlpaWtDS0kLPnj1x9+7dhmobIYSQerL98UGV25+vHSBa5VFbnU200dNSDwIhg+NvYqo9Lj2fi1kH3RCSnAcDTWWcW+Zc456R+gpMyMG/T9kJqz9P6AwDTeVGuS6pZWBhamqKHTt2wMvLC56enhg0aBDGjx+PoKCghmofIYSQOijmCbD5WqDEditDDURuG4XWeur1Ov+SvmxQcsY9FvlVJMxKL+2pCE3Jg2FpUGFlqFGva9YUly/A6gt+EAgZjO5ihDG2NATSmGoVWIwdOxajRo1Cu3bt0L59e/zyyy/Q0NCAq6trQ7WPEEJILUWnF2DcP69w0lU8/faOSV3w6Nv+Yhk362qgtSEs9dWRV8zHRc84sX1peVzMPOCKsJR8tNRig4q2Bo0TVADAX4/DEZqSBz11Jfw0vlOjXZew6jzHQiAQ4Ny5cygoKEDPnj2rPY7L5SI3N1fsP0IIIQ3jum8CBu5+hrCUfLHtr9cPwgxHc6ldR06OI5prUTFhVmpeMWYedEV4aj5aaang3LKesGzEoMIvLht7n7HLaLdO6Aw9DRoCaWy1DiwCAgKgoaEBZWVlLF++HFevXkXHjh2rPX779u3Q1tYW/WdmRuVpCSFE2opKBFh/2R9fnfOV2Ccvx4FJAxTbmtzdFDpqiojLLMLDt8lIzS3GzAOuiEjNh5G2Cs4tc0Yb/foNudRGMU+A1Rf9IGSAcXbGGNnFqNGuTcrVOrCwtraGr68v3Nzc8Pnnn2P+/Pl4+/Zttcdv2LABOTk5ov/i4uKqPZYQQkjthafkYcSfL3DOo+q/rxXrgkiTqpI85ji1BgD8cicYMw64IjKtAMalQYVFIwYVAJsELCI1H/oaytgyjoZAmopCbT+gpKQEKysrAIC9vT08PDzw559/Yv/+/VUer6ysDGVl6ooihBBpYxgGl7zisfaS/3uPa8jS4PN6tsY/TyMQl8kuOzXRUcXZpc4w11NrsGtWxetdFg6+iAIAbJvYGS3UlRr1+qRcrQOLyoRCIbhcrjTaQgghpIYKuHxsvhaIKz4JYtsHWhtAS1UR130TAQB/zezWoO0QMOLFyM4tcxYVOGssxTwB1pYOgUzqZoJhnVo16vWJuFoFFhs2bMDIkSNhbm6OvLw8nDlzBs+ePcP9+/cbqn2EEEIqeZuYi0XHPJCcWyy2/dC8HhhkYwjLjXdE2xoy22RidhFmHhRfFdgUOah23w9FVHoBDDWV8cNYGgJparUKLFJTUzFv3jwkJSVBW1sbtra2uH//PoYOHdpQ7SOEEFKKYRicdovFd1Xkp/D7fhi01RRxJyBJtG2gtUGDtSUhuwgzD7giNrMQpi1UoSDHQUxGIY6/icGm0dVP6Jc2j5hMHH7NphbfMbkLtNUUG+3apGq1CiwOHz7cUO0ghBDyHrnFPGy4HIDbFQIHABhrZ4y/ZnQVpav+4rS3aN/eOfYN0pb4rELMPOiKuMwimOmq4tyynghLzsPCYx445x6HVYPbQVOl4W/whSV8rL3oB4YBptqbYpBNywa/Jvmwes+xIIQQ0rD84rIx/6g7sgvF636cXuKE3lb6ovfR6QVi+1UUqy5/Xh9xmWxQEZ9VBHNdNZxb5gxjHVUYaamgrYE6ItMKcMEzvs7pwmtj571QxGQUwkhbBd+NabxeEvJ+VISMEEJkFMMwOPwqGuP/fS0RVARuGS4WVADAhH9fi17f+rKP1NsTl1mIGQfYoKK1nhrOf+YsWnEiJ8fB4j6WAICjr6PBFwilfv2KXKMycKy0TsmOybbQVqUhEFlBgQUhhMig7MISLD3hhZ9viecJmu1kjpgdo6GhLN7hnM/lI6eoPPjobKIt1faUBRUJ2UVoo6+O88t6wkhbfBnrpO4maKGmiPisIjx4myLV61dUwOVj7SU/AMBMRzP0b99wc0lI7VFgQQghMsbrXSactj3Go2Dxm/Plz3vhl4ldqvzMX4/DRa9XD20v1fbEZhRi+n4XJGQXwVJfHWeXOqOVtorEcSqK8pjrzCbMOvQySqptqGjH3RDEZRbBREcVG0d1aLDrkLqhwIIQQmSEUMhg77NITN7rAi5ffCgh+KcRsG/dotrPHXhRfiNfOchKam16l1GA6QdckJhTDEsDdZxdVnVQUWZOz9ZQkpeDd2w2vN5lSa0dZd5EpIuKq/062bZRJomS2qHAghBCZEB6Phfzj7rj13shYtuX92+LmB2joapU/UTM5+Fpotet9dREK0TqKya9ANP3uyIppxhtDdRxbqkzWmpVH1QAgKGmCsZ3ZXNnHHkVLZV2lMnn8kVZRuc4m6NPO/0PfII0BVoVQgghTcwlMkMi0RTATsCsyVyJhUc9RK8vLq++2nRtRKcXYMYBF6TkcmFlqIEzS51gqPn+oKLM4r5tcNErHncDkxCXWSi1TJzb7gQjIbsIpi1UsWEkDYHIKuqxIISQJiIQMvjjUZhEUKGuJI/QrSNqFFTEVFpiWtOb//tEpuVj+n42qGhnqIGzS51rdV6bVlro204fQgailRv19SIsDWfcYgEAu6bYQV2ZnotlFQUWhBDSBFJzizHzoCv+eBQutn3NsPYI+mkElBVqloPiy7M+otf759Y/IVZEaj5mHnBFah4X7Vtq4OwyZxho1r6QZFkei/Meccgt5n3g6PfLLeZh/WV2CGRBLwv0bKtXr/ORhkUhHyGENLIXYWmYd8RdYvujb/vBylCzxucp4PIRkJAjej+8nsW3IlLzMPOgG9LyuLBppYnTS5ygp1G36tT92xugnaEGwlPzccEjDkv6Wta5Xb/cCkZiTjFa66nhfyOs63we0jiox4IQQhoJXyDEznshEkGFkbYKwn8ZWaugAgCOu8SIXk/sZlKvtoWn5GHGAekEFQDA4XBEvRZHX8fUOWHW09BUnPeMA4fDDoGoKdHzsKyjwIIQQhpBYnYRJu9zwX/PIsW2/zi2I1w2DIaifO3+HDMMg533QkXvd0yuOr9FTYSl5GHmQVek53PRwUgLZ5Y61yuoKDOhmwn01JWQkF2Ee0HJtf58TmH5EMii3m3g2Ea33m0iDY8CC0IIaWCP3qag144n8IvLFtv+Yu1ALOhdt5oaryMyxN7XdE5GZaHJeZh5wBXp+SXoaKSFM0ucoKuuVKdzVaaiKI85pQmzDr6MBsMwtfr8T7feIiWXC0t9dawZRkMgzQUFFoQQ0kBK+EJsvfUWS054im23aaWJiF9Gwlyv7ssw5xx2E72+93XfOp0jJDkXMw+6IqOgBJ2MtXBmqRNaSCmoKDPHuTWUFOTgF5cN79iaJ8x69DYFl73jIccBdk21e28eDyJbKLAghJAGEJdZiHH/vMKhSkmidk62xb2v+0GhlkMfFcVmFIq9t2mlVetzvE3MxcwDrsgsKEEXE22cXuIEHTXpBhUAYKCpjIld2fkfh17WLGFWdmEJNlwNAAAs7WtZbcZRIpsosCCEECm7E5CEvjufIiQ5T2y7y4ZBmOZgVu/z/1ShMNl3o2ufKCooMQezD7kiq5AHO1NtnFrcMEFFmcV92eGe+0HJEkFRVX68EYS0PC7aGqjjGynXPSENjwILQgiRkmKeAJuvBeKL095i2x0tdBG1bZRENdC6KCzhixUnK1t5UVOBCTmYfciNDSrMdHBisRO01Rq23kb7lpro194AQgY4+ub9vRb3ApNxzTcRchxgz7SuUFGkIZDmhgILQgiRgqi0fIz686WoQFaZf2Z1w4XlPSEnJ536HZe84kWvu5rp1KouSFlQkV3IQ1czHZxc7Aht1cYp4rWkNAC64BEnVt69osyCEnx3jR0CWd6/Lbqa6TRK24h0UWBBCCH1dN03AYP2PEdUpfTant8NwRhbY6ldh2EYfH89SPT+yAKHGn82ID4Hsw66IqeIh+7mbFCh1YiVQfu200f7lhooKBHgvEdslcd8fz0Q6fklaN9SA18NaddobSPSRYEFIYTUUVGJAP+75IevzvmKbR/SwRDR20dBXwq5ICpyiRRfYlrTZaF+cdmYfcgVucV82LdugeOLHBu93DiHw8GSPmz2zWOvY8CrlDDrtn8SbvknQV6Ogz1Tu9Z5+SxpehRYEEJIHYSl5GHQnme44Bkvtv3Igh44NN9BaqXLK6q4bPX4IscafcY3LhtzDrsht5iPHk0UVJQZ19UY+hpKSMwpxt3A8oRZ6flcbL4eCABYMaAtuph+uPgakV0UWBBCSC0wDIMLHnEY9vsLJOUUi+3z+34YBtm0bJDrxmUWorBEIHrfv73BBz/jE5uFuYfckFfMh6OFLo4tcoRGE1YFVVGUx1xnCwDAoZdRYBgGDMNg87VAZBaUwKaVJlYOoiGQ5o6SrhNCSA3lc/nYdDUA130TxbZP6GqM36d3bZBeijL/PIkQvZ7tZP7B473eZWH+EXfkc/lwbKOLowscZKLU+Bxnc/z7LAL+8TnwfJeFpNLeCwU5DvZMs4OSAj3vNndN/y0jhJBmICgxB3NKl2lWdGaJE3pZ6TfotYtKBDjvGSd6/+O4Tu893utdJuYf8UA+lw9nS10cWeAgM8W79DSUMbm7Cc66x2H7nWDRhNeVg6zQyZiGQD4GFBoSQsh7MAyDk67vMPqvVxJBRcCPwxo8qACAa74JotfaqorvLVjmGZOJeYfZnoqelnoyFVSUWVRaH8U7NhvZhTx0NNLCioFWTdwqIi2y9W0jhDRrKbnFMNRUbtAhgcaUU8TDukv+EpU55/VsjS3jOjXKz8kwDDZcCRC9v/JFr2qPdY/OxIKj7igsEaBXWz0cnu8gkzU22rUULw+/Z5pdrau7EtlFgQUhpN6EQgY/3XqLY29i8O3Q9lg1uPlPwPOLy8b0Ay4o5okvi7zyRS90N2+82hWuUZli79saaFR5nFtUBhYe80BhiQB9rPRxcF4PmQwqADYArchYChlJieygEJEQUi8lfCG+Pu+LY29iALAZKJszhmFw6GUUxv/7WiKoCP5pRKMGFQCw6Vp5b8XPEzpXeYxrVAYWHGWDir7t9HFovuwGFZV7YADgbDUJs0jzRIEFIaTOCkv4WHrCEzf8yldJXKu0YqI5ySoowaJjHth6O1hs+xcD2iJmx+hGv1nHZxUiKq08m+dc59YSx7yJTMfCox4o4gnQr70BDs7rIdP1NS55xeNJSCqU5OWwrF/1CbNI80VDIYSQOskuZG/C3rHZUFGUk3i6b248YzIxZZ+LxPbbq/o02WqFo69jRK97tdWT2P8mIh2LjnugmCdE//YG2D/XXqaDiqScIvx0k63M+s3Q9ljUxwJXvBOQnFuMOwFJGF9aXp00b9RjQQipteScYkzb7wLv2Gxoqyri9BLnpm5SnQmFDP57FiERVGiqKCDk5xFNFlQU8wQ4/Kq8EujeOfZi+1+Fp2PhMTaoGGgt+0EFwzBYdzkAeVw+uprpYGnfNlBWkMf8nmwvzMHShFmk+aPAghBSK1Fp+Zi89w3CUvLRUksZF5f3hH3rxp13IC3p+VzMOeyGnfdCxbavHW6NgB+HN+mN+nqFJaYAxKqQvgxPw+LjHuDyhRhkY4h9Mh5UAMB5jzi8CEuDkoIcdk+1g0LpKpDZzq2hrCCHwIRcuEdnfuAspDmgwIIQUmMB8TmYus8FCdlFaKOvjkvLe6F9paWDAPA0NLUJWlc7byLT0WPrI7ypVNjr0bf9mzynQtnTfZkzS51Er5+HpWHxcU9w+UIM6WCIvXO6y3zBrvisQtG8lbXDrGFlWL6yRVddCZPtTQEAhyr00JDmiwILQkiNvIlMx8yDrsgoKEEnYy1cXN4TZrpqAIB/noSLHbvwqAcuVsgUKUsEQgZ/PArDrINuYttNW6gibOtIsZteU6n85N6rLZuE61loKpae8EQJX4ihHVviv9n2Mh9UsEGSP/K5bGXVRX3aSBxTljDrUXAKoiuVnifNDwUWhJAPuheYjAUVUkSfW+YsKgmez+Vj94Mwic+sveSPPx6FydS4eUpuMabue4M/HokHQlvGdcKrdYNkpk7Fnoflv8/FpTfipyGpWHbCCyV8IYZ1bIl/Z3WXmfa+z2m3WLyOyICKohx2TbGFvJxkUjErQw0MsjEEwwBHX1OvRXMn+99KQkiTOu8Riy9Oe6FEwN7Qji0UL7vtsPVRtZ/941E41l7yl4mlhM/D0uC07TG8Y7PFtr9YOxDze1k0SZuqkphdJNZjsXFUBzwOTsFnJ9n/ByM6tcK/s5tHUBGXWYhtd9ghkP8Nt4FlNcm9AGBJaQB10TMe2YUljdI+0jBk/5tJCGkSDMNg77NIrLscACEDTO9hhv9mdxebJPjobQqKeIL3nIXNW7DomAfyinnvPa6h8ARC/HovBPOPuItt72SshYhfRsJcT61J2lWdU67vRK+NtVXwNCQVy0+xQcXIzq3w96xuzSL9tVDIYO0lPxSWCOBooYsFHwjeerbVQwcjLRTxBDjjTgmzmjPZ/3YSQhodwzDYdicYv94LAQAs798WOyZ3Ec3kB4ACLh9LTnh+8FyqivJ4GZ6OqftckJRT1GBtrkpCdhHG//Mae59Fim3fNcUWt1f1Fft5ZEExT4D/KrR1cV9LfH7aCzwBg9FdjPDXzOYRVADASdd3cI3KhKqiPHZNtYVcFUMgFXE4HFGvxfE3MSjhN30vF6mb5vENJYQ0Gr5AiDUX/XHwJTvWvWlUB6wfaSNRcGv5KS/R6z6VKnz+NbOb6HXPtnow0FRGSHIeJv77Bm8Tcxuw9eUevk1B7x1P8DZJ/HouGwZhag+zRmlDbVXMYAoA2+8EgydgMMbWCH/O6NpsgoqY9ALsuMsGpRtG2aC1nnqNPjfWzhiGmspIyeXidkDzzeD6qWse31JCSKMo5gmw/JQ3LnvHQ16Og11TbLG0NO1yRW8i0vEyPF30/sgCB7H94+yMRa+fhKTi7FIntDPUQHIum1jrRVhag/0MJXwhfrr5Fksr9aY4W+oictsoGMlowauy1RMV8YUMxtoZ44/pXWWud6U6ZUMgRTwBelrqYY6TZBry6igpyInmuxx6GS1TE39JzTWPbyohpMHlFvMw74g7HgWnQElBDvvm2Ff5ZJ/P5WPWofKlmhtH2VQ5kfD+1/1Er9de8selz3vB2VIX+Vw+Fh3zwIUGWI4am1GIkX++wJFKKwv+ndUd55b1rHJFgqzwepeFyvfR8V2N8fs0u2YTVADA0Tcx8IjJgrqSPHZO+fAQSGWzHM2hoiiHoMRcicqupHloPt9WQkiDSc0rxvT9rnCPzoSmsgJOLnLE0I4tqzz259JaD2WW9Wtb5XHWrTRhrK0CAPCJzUZuEQ/HFzliQldj8IUM/nfJH789lN5y1Nv+Sei36yki08TzIHh+NwSjbY2kco2GtO95lNj7id1M8Nu05tNTAbBZWXeWzsvZOLqDKM9JbbRQV8KU0oRZh19FfeBoIouazzeWENIgYjMKMXWfC4KTcqGvoYRznznDyVKy4BUAvAhLw/kKPQ2XP+/53nPf/aq816LvzqdQVpDH79O7YmVpZsu/HodjzUX/ek3UK+YJsOlqAFac8RbbPqxjS0RtGyXKtyHLknKK8Cg4RfR+eKeW2D3VTqZ7WCoTCBmsuegHLl+IPlb6mOVoXudzLerdBhwO8Cg4FVFp+VJsJWkMFFgQ8gkLTsrF5H1v8C6jEGa6qri0vFe1Rbdyi3n4vMKETXk5Duxb6773/NpqiqKnT4BN8sThcLBmuDW2T+oCeTkOLnvHY+Exd+TWYTlqZFo+Bu95jtNu4ssTjy5wwIF5PWrdDd9UZhxwFXv/32z7ZhVUAGzvgndsNjSUFfDrFFuJyb61YWmggcE2bI9Z5WEtIvsosCDkE+URk4np+12QlseFTStNXF7eCxb61c/e/+VWMApKynNWuG8cXKPrbJvYRfR64TEPCITs0MdMR3Mcmt8D6kryeB2Rgal7XZCYXfPlqFd94jF4z3MkVPqM7/dDMdDGsMbnaWoXPOPwLqNQ9P7SctmeC1KViNQ8UfbVzWM6wESn/hNkl/Rll55e8opHVgElzGpOKLAg5BP0JCQFcw+7IbeYjx6tW+D8sp4w1FKp9vhnoaliQyBDO7aEXg2HGJQU5LB9Unlw8efj8nTaA60Ncf6znjDUVEZoSh4m/vcaQYk57z1fYQkfay764ZvzfmLbJ3c3RfT2UdBRU6pRu2TBVZ94/O+S+EqQHhbv7wWSNXyBEKtLh7P6tzfANCkt5XVqo4vOJloo5gkpYVYzQ4EFIZ+Yqz7xWHrCC8U8IQZaG+DkYidoqylWe3xOEQ/rK1TaBIC9s7vX6pozHMpvNn89Dhcb9uhsoo2rK3qjfUsNpORyMW2fC55Xsxw1LCUPfX59ikte8WLbzyx1wp5pdvXqfm9sl73i8e0F8eBoxcCqJ8LKsgMvo+AXlw1NFQXsmNxFav8P2IRZ7FLnY29iwOW/P8MrkR0UWBDyCTnyKhrfnPeDQMhgYjcTHJjXA6pK76+O+fOtt0jOLS5/P6FzrVcqcDgcXPmil+j90uPiOSZMdFRxcXkv9LTUQ0GJAIuOeeC8R/lTKsMwOO8Ri2G/v0BmpW7xgB+Hiap/NheXvOKx5pKfxPLS1UOtm6ZBdRSanIc/HrI9UD+M7ST1HCGjuhihlZYK0vK4uOWXJNVzk4ZDgQUhnwCGYbD7fih+usUuFV3Y2wJ7ptp9MJPj4+AUid6Buc41T3hUUXfzFtBVZ4cp3KIzEVlptr+2qiKOL3LEpG4mEAgZrLscgD0PQpFXzMOXZ32wrlKvyYJeFojePkqsIFpzcMEzDmurCCos9dWbzWRTgK3BsuaiH0oEQgy2McTk7iZSv4ZYwqxXlDCruaDAgpCPnEDIYNO1QPzzNAIAsGZYe3w/puMHb2I5hTxsuCJ+M7+xsne92nLryz6i14P3PJfYr6Qghz3T7PDlIHY56t9PItDlxwe45S/+tHr1i174cVynZjX0AbCVYtdd9gfDsEtKKzq1xKmJWlU3+55FIiAhB9qqitg2SXpDIJXNcjSHqqI8gpNy4RKZ0SDXINJFgQUhHzEuX4Avz3rjjFssOBzgl4mdsXJQuxrdBLbcDEJqHlf0XlNZAbamOvVqj7GOKkZ3KU9W9SAoWeIYDoeDb4e2RydjLYl9CnIcvP1pOLqZt6hXO5rCWfdYrLscAIYB5vdsDeuWmmL7jaWwkqKxvE3MxV9P2CGQLeM6oeV7Jv7Wl7aaIqb1YJcsH3pFS0+bAwosCPlIlaXOvhOQDEV5Dv6Z2R2za1i34UFQMq74JIhte7luoFTa9esUW9HrZSe9JJJj5RTxsOykF4KqKFb2/H8DoaakIJV2NKYzbrGi3p8FvSywcXQH/PUkQrS/YtE2WVfCZ4dAeAIGwzq2xPiuxh/+UD0tLE2Y9SQkFRGpeQ1+PVI/FFgQ8hHKLCjB7IOueB2RATUleRxd4FjjtNZZBSXYeDVQbNv4rsZSW8apoayAjaNsRO//flK+/NQ3Lht2Wx7g4duUqj6Kif++RmDC+5ejyppTru+w8SobVCzsbYEfxnbEnQDxoZ2KRdtk3b9PI/A2KRct1BTxy8SGGwKpyEJfHUM7sENHh1/FNPj1SP1QYEHIRyYhuwhT9r2BX3wOWqgp4uxSZ/RpV/NVEz/cCEJ6Plds22/Tukq1jYt6txG9/vtJBNLyuDj0MgoT/n0tdpyuuhJCfh6BN+sHwbqlJlLzuJi+3wVPQ1Ol2p6GctIlBt9dY4O0xX3a4PsxHcHhcPDf00jRMRWHhmRdYEIO/i2dq/PT+M4w0Gy8dOlL+rJLT694xyOj0veTyBYKLAj5iESk5mHK3jeISiuAkbYKLi7vBTsznRp//l5gEm74JYpt2zXFVuqZIBXk5XC0Qql1h18eYevtYLFj1o2wgffmoVBRlIexjiouft4Tva3Y5ahLjnvirIwnTTr+JgabrwcBAJb2bYPvRncAh8OBT2wWwlPLV8TsnmrXVE2sFS5fgDUX/cAXMhjVpRXGNHJhNweLFrA11QaXL5RI4U5kCwUWhHwkfOOyMXWfC5JyitHWQB2XP+8FK0ONGn8+I5+LTZWGQABUWTpdGt6XdvvRt/3x+QDxZFFaKoo4usARk7qzy1E3XAnArvshMrkE8ejraPxwgw0qPutniY2jOoiGDI6/iREdx+Hgg3lEZMXfjyMQkpwHPXUl/Dy+c6OvyOFwOFjch+3pOuESg2IeJcySVRRYEPIReBmehlkHXZFVyIOdmQ4uLu9V61UG398IQkal5FP3vu4rzWaKCIWMqEu9otZ6agjdOqLagEhJQQ57ptph1eB2AIB/n0bim/O+9aqOKm2HX0VjS2lp+eX922L9SBvRTTg1rxjXfMt7hG6s6FPlOWSNf3w29j5nh2+2Tuhc43Tu0jaqixGMtFWQnl8i0bNGZAcFFoQ0c7f8E7HomAcKSwTo204fZ5Y4iRJR1eYctyvlimippQybVpJLPusrLY+L6QdcsOt+qMS+b4e2h7LC+5/gy5aj7pxsCwU5Dq75JmL+EXfkFNW+Oqq0HXoZhZ9Lk5B9MaAt1o2wFnuyP1OpC7+LadWVZGUJly/A6gtsttaxdsYY2YRzQhTl5bCgNGHW4ZeUMEtWUWBBSDN20vUdvjzrA56AweguRmy1UOXaLcdMz+fi+9K5ABU9+ra/tJop8iYiHQ6/PIJHTFaV+78654uikpp1cU9zMMORBQ7QUFaAS1QGpux9g/iswg9/sIEcfBElmieycqAV1g4XDypK+EL88ah8Bczqoe0bvY118cejcISn5kNfQxk/jevU1M3BDEdzqCnJIzQlD68i0pu6OaQKFFgQ0gwxDIO/Hodj87VAMAww28kcf83s9sGn/arOs/laoET9jZmOZlJNlS0QMvjtQShmHXIT225rqo3wX0Zi5UAr0baK1U8/pF97A1z4rCdaaakgPDUfE/970yTLUfc/j8Qvd9igYtUgK6we1l5iDsLdQPEeoZWDrCDrfGKzsL90CGTbxM5oUcuesIagraooqqB66CUlzJJFFFgQ0swIhQy23HyL3x6GAWBvZFsndK7Tyo2b/km4G5gMhUqf/WVCl2o+UXspucWY8O9rsYRQALBnqh1urOwDRXk5rKgQWOx7HomE7KIan7+jsRaurugFm1aaSMvjYtp+FzwNabzlqHufRWL73RAAwFeD2+HbYdZVTmw8UiFrZAcjLZlPR17MY1eBCBlgYjcTDOvUqqmbJLKoNGHW87A0hKVQwixZQ4EFIc0ITyDEtxd8cax0ZcEPYztWeyP7kNS8Ynx/nV0FwheWj1X/PbOb1IphPQtNhdO2xwio1IvgsmEQJtubit6rKsnjt2nlyy7XVCon/iFG2qq4sLwn+ljpo7BEgCUnPCXmMzSEf59G4Nd7bFDx9ZB2+Kaa4Q2/uGz4xZf/Do4vcqjyOFny28MwRKYVwFBTGT+M7djUzRFjrqeG4R3ZQOcIpfmWORRYENJMFJUIsPSEJ675JkJBjoM/pnfFwgqJpmqDYRhsuhqI7EKexAqMsVLIAskTCLH9bjAWHPUQ297bSg+R20ZVWV57QlcTUc+JS1QG3KMza3VNLRVFHF3ogCn2phAIGWy8GoCd90IgFDbMBL9/noSLJqB+O7Q9vh5S/ZyJiktMAcBQs+Fqa0iD17tMHHwZBQDYPqmL1LKuStOSvux3/4pPgkRCN9K0KLAgpBnILizBnMNueBaaBhVFORyc1wMTutW9TPU13wQ8fJsCRXkOotMLRNsfr5bOhM2Rf77E/udRYtv+m90dp5c4VztkIyfHEavwOeewGwS1DAoU5eWwa4otvh7CLkf971kkvrngCy5fujkP/nocjt0P2KGoNcPai5a/ViUtjytWd2X/XHuptkXaikoEWHORrcA6xd4Ugzu0/PCHmoB96xawM9NBCV+IU67vmro5pAIKLAiRcSm5xZi+3xVe77KgpaKAU4ud3ptcqibn+/EGuyRyYjcT0c27jb462hrUPKHW+0RUyCwJAB6bhmBUDZYpOlvqoUdrtnJpCV+IC55xtb42h8PB10PaY9cUdjnqdd9EzDvsjpxC6SxH/eNRmGh+y9rh1lg5qPqgAoBEhtDhMjRXoSq77ociOr0ArbRUsHmMbA2BVMThcLCkNGHWSZd3lDCrVAN10NUKBRaEyLDo9AJM3vsGoSl5MNRUxoXlPdHDQrfO52MYBhuvBCCniIcuJtq44Bkv2nd7Vd2TNVXXIzCiUytEbRtVq5oSOytUP91Q2ta6mNrDDMcWOkJDWQFu0ZmYvO8N4jLrvhyVYRj89jBMtGR03QgbsUmnVeEJhNj3vLwuyKTude9lagxuURk4+oads7Bjchdoq0pvZVBDGNm5FUx0VJFRUILrvgkf/sAnRFqBdF1QYEGIjApMyMHUfW8Qn1UECz01XP68V70TVl32TsDjkFQoycthROfyJ+dFvdvUuRz5u4wCDNr9XGL70YUO2DfXvtYTQS0NNDDH2Vz0/o9HYXVqFwD0aaePi8vZ5agRpctRA+JrvxyVYRj8/jAMf5Uuhd0w0kYi5XhV7gYmo7BCXo7tk6S32kbaCkv4WHuJHQKZ4WCGAdZ17xVrLAoVEmYdooRZYsFEbVZWSRsFFoTIINeoDMw84Ir0/BJ0NNLCxeW9YKarVq9zJuUUYctNNhHWV0PaiWW+3DymQ53Oecs/Ef13PZP4I+azeSgG1uPGtHqotej10dcxiEzLf8/R79fBqHw5ano+uxz1SUjVZdmrwjAM9jwIEy2X3TSqAz7r/+GgAhCftKmqKF/rPCON6de7IYjNLISxtgo2ja7b96EpTHc0g7qSPMJT8/Ei/NNKmMUwDMJS8rD6gh8s1t+G3U8PRPuaMs09BRaEyJgHQcmYd8QdeVw+nNro4txnzvUuT80wDNZfDkBeMR92ZjpIyyufRX9wXo9aL1ct5gmw4Yo/Vp7xqXJ/fRMptVBXwqZR5Te3DVcC6nU+I21VXFzeE33b6aOIx1ZHrcmEP4ZhsOt+KP4prWvy3egOWNrPskbXDIjPgde78gyjV1f0qlvjG8GbyHQcd2F/Hzun2Ek1OVpD01JRxHQHtofr0MuoDxzd/BVw+Xj4NgWfn/JCmw13MOz3F7jsHS9xnJJC093ea3Xl7du3w8HBAZqamjA0NMSECRMQGiqZ758QUjcXPOOw/JQXSvhCDO3YEscXOUJLCn/kL3rG43lYGpQU5LB1fGdRHgwAGNqxdrP+I1Lz0XvHE5x1r/3EytqY16u16LV7dGa9k15pqijiyAIHTOthCiEDfHctEDvuVr8clWEY/HovFP89Y+dIfD+mI5b0rVlQAUDsdwygQequSEM+l4//XfIHwGZw7dNOv4lbVHsLe1tAjgO8DE9HaPLHlTCLYRhEpObj0MsoTNvvgk4/3MfSE564G5jc1E2rVq0Ci+fPn2PFihVwdXXFw4cPwePxMGzYMBQUFHz4w4SQ99r/PBL/u+QPIQNMtTfF3tndoaJY/67zhOwiUWGs1UPbY9W58l6GF2sH1upcV7zjMeS35xJVUP1/HFbvdlamrCCP/2Z3F71fcca73t27ivJy+HWyLb4tTWS173kkvjovuRyVYRjsuBsimnj549iOWNSn5jlD0vO5Yk+RFXtfZM32O8GIzyqCaQtVbJDhdr6Pma6aaM7Q4VfNv9eiqESAJyEp+P56IPrteoohvz3H1tvBVeZ20VZVxM4ptlCUl51MrrWarXXv3j2x98eOHYOhoSG8vLzQr18/qTaMkE9F2U1s/wv2D+Jn/SzFSm3X99zrL/sjj8tHN3MdDLIxFKWf7mikBXO9ms3bKCzhY9PVQFz1EZ95v7C3Bb4f07HB0lOP7NwKNq00EZKch8ISAU64xNSq16AqHA4Hqwa3g7GOKtZf9sdNv0Sk5BbjwFx76KgpgWEYbLsTjIOldSh+Gt8J83pa1Ooa5yotMS1L5iRrXoan4XRphtKdU2yhUcsCdrJkcR9L3AlIxjWfRKwdblPv4cPGFpNegKehqXgWmgaXqIwPBtHrR9pgSZ82EDLAhH9fgydgMKRDSzwKrvn8oYZSr29RTg47u1pXt/rlb1wuF1xu+Xhubm5ufS5JyEeFLxBi49UA0bLPDSNtajwxsCbOusfhZXg6lBXksHuqHQbvKV+9ceWLmo35hyTnYuK/b1BUKU/A1S96oZt5C6m1tSocDgfbJ3XBxP/eAAC23g7G+K4mUrlpTLE3hZG2Cpaf9IJ7dCYm732DYwsdcexNDA6Xpon+eXwnzK1lUMETCHHsTfn8je7mOjJZFySvmId1pUMg83u2Rq+2zW8IpCL71i3QzVwHPrHZOOn6TtQrJauKeQK4lQ7xPQ9LE0tUVx1nS138Nq0rjHXKM9f+9jAMb5Ny0UJNEdsmdcajX5pxYCEUCvH111+jd+/e6Ny5c7XHbd++HVu2bKnrZQj5aBXzBFh11gcP3qZAjgPsmGwrqtooDfFZhfjlNjsEsna4Nd4mlgf1KwdafXCYhWEYnPeIw/pKEyeVFOTgs3lorcuz11U38xYYY2uEW/5sddDd90Pxa4VcF/XR20ofFz/viYVHPRCZVoC+O5+K9m2d0BlznFu/59NVux+ULJZi+tB82awL8svtYCTmFMNcVw3rRto0dXOkYkkfS6w4441Tru/wxYC2UhlKlKa4zEI8C03F09A0vIlMRzGvZkN7++bYY1jHlhJLtwPic/Bv6cTinyd0lplU8XX+y7BixQoEBgbi1atX7z1uw4YN+Pbbb0Xvc3NzYWYmvT+ehDRHucU8LD3uCbfoTCgpyOHvmd2kmpFRKGTwv0v+KCgRoEfrFljQywJWm+6K9q8e9v6nubxiHv53yV9igtiqQVb4dph1NZ9qOOtH2ogCi/OecZjbszU6m2hL5dw2rbRw9YvecN7+WLRtSAfDOgUVgGRdEF0ZKDVe2bPQVJzziAOHA+yealfnHCayZninljDRUUVCdhGu+iRgpqP5hz/UgLh8ATyis0qDiVREptV8PuKCXhZYNbhdtd8fLl+A1Rd9IRAyGG1rhDG29a/xIy11+jatXLkSt27dwosXL2BqavreY5WVlaGs3LzGughpSGl5XCw46o6gxFxoKCvg4Lwe6NlWT6rXOO0eizeRGVBRlMOuqXbYXFrFFACOL3J8b9d8YEIOxvwt+cBwZ1VfdDRumpUNpi3UsLx/W9Fkys3XA3Hl815Sm4fy3zPxku5PQlJx0iWm1sMggQk58IgpX2J6bKHs9VbkFPGw/jLbC7WwVxs4tql7JldZoyAvh4W9LbD1djAOv4rG9B5mUqvUW1MJ2UV4VjpX4nVEuliCtA+xNFDHr5Nt0aN1iw9+t39/GI6wlHzoayjh5/HVjxo0hVoFFgzD4Msvv8TVq1fx7NkztGkjmxOSCJFVcZmFmHvYDTEZhdDXUMKxhY5Se/IuE5tRiO13ggGwaaf1NZTElob2b29Q5ecYhsEJl3f44UaQ2HYDTWW8/N/AJu9W/mJgeWDhE5uNm/5JGFfPSqxCIYPvbwTilGssOBx2+CMgPgfnPOKw+XoQ4rOKsG6ETY1vTpV7K2Qxe+XPt94iObcYbfTVsXZ44/c+NbTpDmb441E4IlLz8Tw8rV6J2mqCJxDCM6a8VyIsRTyZWws1drl41ntSbG8e0xFTe5jWeGm517ssHHjB/lvYNrGLzPWK1SqwWLFiBc6cOYPr169DU1MTyclsN6m2tjZUVSXLIBNCyoUm52HuYTek5nFh2kIVJxc7oY2+ulSvIRQyWHvJD4UlAji20cX8nhbouaO8i99lw6AqP5dTxMNX53zwLDRNbPv6kTZYLsXJpPWhpaKIn8d3wubrbOCz8UoAhnZoCVWlugU8QiGDzdcDcdqNDSp2TrbF1B5mYBwZmLZQxe4HYdj/Igrx2UXYM9Xug4FVZkEJLnqVLzGd5dS03fBVeRycgkte8eBwgF1TbOv8u5NlmiqKmOFghkOvonH4ZXSDBBbJOcV4HpaKpyFpeBWRjnwuX7RPjsPOCzLUVEZaHheeFZKkVTSiUyusHGRV6wcLtvqsH4QMMKmbCYbJYFG7WgUWe/fuBQAMGDBAbPvRo0exYMECabWJkI+O17tMLDzqgdxiPqxbauLEYke01JL+RKuTru/gFp0JNSV57J5ih7DUPKTkshMJHSxawEhb8gHAJzZLtOqiokff9oeVoXSqnUrLTEdz9mafVYR8Lh/7nkfimzrM/hcKGWy6Foiz7mxQsXuKHSbbs8O6HA4HKwexy1HXXfbHbf8kpOYW4+C8HtBRq/7JsHIV0y3jOtW6XQ0pu7BElMF0SZ829SpmJ+sW9LbAkdfReBWRjuCkXHQwqt8QHl8ghHdstmg5aHCS+OpGPXUl9Lc2QEcjLWQWlOCEyzuxrKtlNJQV8MPYjhhta1TneS0774cgOr0ALbWU8cNY2fqOlan1UAghpHaehqTi89NeKOYJYd+6BQ7Pf/8Nqq5i0guwozRHxfqRNjDXU4PF+tui/aeXOIsdLxQyOPwqGr+UDpuUsTRQx92v+spkXQsFeTn8NL4TFh3zBAD8+Tgc0xzMYKJT8x5ToZDBxqsBOOcRBzkOsGeaHSZ2k5wrNqm7KVppqeCzU17wiMnCpL1vcGyBY5W5P/gCIU5XSBHeQk0RivKyVTFhy823SM3jwtJAHaubYAJuYzJtoYaRXYxw2z8Jh19FY/dUu1qfIzWvGM9D0/AsNA0vwtOQV1zeK8HhAHamOhhobQhnS10k5RTjgmccrnhXXWF1QS8LzHYyR7uWmnX+mQC2htDR1zEAgF8n20JbTTZTr38cU4EJkVHXfBKw5qIf+EIGA6wN8N/s7g0yA79sCKSIJ0BPSz3McWqNi57l8yrWDrcWqx2QWVCCL057wTVKPJPfzxM6Y24dV0M0loHWhuhtpYfXERkA2MyR/8zq/oFPsYRCBuuv+OOCZzzkOMBv07piQrfqS5n3stLH5c97YcERd0SlFWDS3tc4PN8BdmY6Ysc9fJuCxJxi0ftLn8tWXZD7Qcm46pMAudJVIE09X6YxLOnTBrf9k3DdNwH/G24Nww/0EAqEDHzjsvAsNA1PQ1MRmCDeK9FCTRH92htgoLUh+rbTR2RaAa54x2P6Adcqz2drqo2lfS0xrFNLqQTpBVw+1l7yAyD71WcpsCCkgRx9HY0tN9k8EuO7GmP3VLsGe4o9+iYGHjFZUFeSx87SHA9rS5MfAcAXFUp8u0dnYtp+F4lzvFg7sMaZOJsSh8PBplEdMeqvlwCAW/5JmOucASfL96+sEQgZrLvsj0tebFDx+/SuGN+1+qCiTPuWmri6ojcWHfNAUGIuph9wwd8zu4vVWDlaadJmWwPZGULKLCjBpqvsEMiyfm3RvYGTmsmKbuYtYN+6BbzeZeGk67sqe2ky8rl4HlbeK5FdaYKlrak2BrQ3wAAbQ9iZ6iAhqwhXfOKx7U4wUisU8qto5UArTOthJvV/S9vuBCMuswgmOqoyX32WAgtCpIxhGPz+sLzM9oJebNrrhlr2FpWWj5332CGQjaM7wExXDV9VqAdybpkzOBwOhEJ2WeXuB2Fin+9qpoOLy3vKXNf9+3Q01sJUe1PRZMkfb77FrS/7QL6a37GgNK/HZe94yMtx8Mf0rhhbixUlLbVUcP6znlhx2hvPw9Lw2UlP/DiOTfX9NjFXrIbDzxNka+nfDzeCkJ5fgnaGGvh6SLumbk6jWtKnDbzeZZUmzLKCsoIc/BNy8DQkFc/C0uAfn42KI/xaKgro194AA6wN0b+9AQw0lZFbzMMd/yTsuBMC9xjJWh0AMMjGEDMdzTHQ2gAKDfDvqGLq9V1TbGW++iwFFoRIkUDI4PvSlQYA8O3Q9vhykFWDpXQWCBmsveQPLl+IPlb6mOVojpxCHq77JoqOcbbUQ1oeF0tOeMIvLlvs879Ns8Ok7u/PRSOr1gy3FgUWwUm5uOAZV2VCJIGQwdqLfrjikwB5OQ7+nNG1TsmENJQVcHh+D2y+Hoiz7nH4/noQ4jILJZ5yZWko6U5AEm76JUJejvPJDIFUNKxTK2gqKyCrkIcO39+DrroSMisV0OtopIWBNuwQR1czHSjIy4EvEOJVRDoueyfgpl9ilefW11DGgl6tMcXeDK20Gy7jZW5psjqgNPW6leynXqfAghAp4fIF+PaCH277J4HDAX4a3/DzFY68iobXuyxoKCvg1ym24HA46LPziWi/+6bBeB2RjtmH3CQ+67JhUJWrRJqLlloq+HpIO/zxKBwAsO12MEZ1MYK2avnTnEDIYPUFX1zzZW+uf8/shlFdjOp8TQV5OWyb2AWmLdSw636oqFBZmV5STnRWH+n5XHx3jU2M9nn/thLzQj5WQiGDoMRcUV6JvApLQTMLSqCprIC+7fUxoL0h+lsbiK3OCk3Ow2XveFz1SUBaNUMdo22NMMPBDL3b6jdK8q2fb75FUk4xLPSaT+p1CiwIkYICLh/LT3nhZXg6FOU5+H163Z6KayMiNR+7HoQCAL4b3QEmOqoIiM8RzV7vbaWHky7v8PcT8ayS/dob4Mj8Hg3SZdvYlvWzxEmXd8goKEEel4+/Hodj85iOANiVGqsv+uG6byIUSoOKkfUIKspwOBysGGgFEx1VfH3eV2zf3jn29T6/NDAMg83XApFZUAKbVpr4crBVUzepQeUU8vAygp0r8Sw0TaxWS0Wf9bPEmuHWYsN+GflcXPdNxBWfeIkJm2XaGqhjpqM5JnYzgZ5G42WSfhycgouleUeaU+r15tFKQmRYZkEJFh7zgF9cNtSU5LF/rj36tqs6u6W0lN00S/hC9GtvgOkObP2dsf+Up+JOzimWCCr2zu4ulZurrFBTUsC6kTairuLDr6Ix09EcFnpq+OaCH276sUHFP7O6Y0Rn6SYSGmNrJBFYZBeWiPWYNJVb/km4G5gMhdIhEFlcOlwfDMMgOCmvNK9EKrxjsyEQlk+WUFeSR28rfQy0YedKHHsTgwMvohCQkANFeTlw+QI8CU7FZe94PA1NE/tsGXk5DiZ0NcEMR7MapdiWtqyCElEBwOaWd4QCC0LqITG7CHMPuyEyrQA6aoo4usChwUuJA8DBl9Hwi8uGpooCfp3cBRwOBycr5FEAIFHwyH3TYJmpfihNk7ub4tjrGLwtTVq05WYQtFQVcds/CYryHPw7q3uDZCd8FJwqsW3Sf29waH6PRvkOVCc1r1hUG2bFwNpndpRVecU8vI5Ix9OQNDwLSxUlfivTzlADA6zZuRI9LHTFllfP72WBw6+i8SYyA5P+e43ItALkFFWdYruTsRZmOJpjnJ1xkwaJP9wIQloeF22bYd4RCiwIqaOI1HzMO+yGxJxiGGmr4ORiR1gZ1i8BTk2Ep+Th94fsyo7NYzrCSFsVAiHb9V2V0V2M8PfMbo1ejKmxyMtx8N3oDphVOo/kZXg6AEBRnoP/ZtuLLQuVpmNvxOdXdDbRQmBCLmYedMVfM7o1SaplhmGw6Wogsgt56GikhRUDm+8QCMMwCEvJF/VKeMZkgV+hZ0FVUR69rfTQ39oQA9obwEy36uWdidlFuOaTIOqV8I7NljhGQ1kB47saY4aDObqYNn0gdjcgCTf8EksTuHVtdpNuKbAgpA784rKx4Kg7sgp5sDRQx8nFTrXK/lhXoiEQgRADrQ0wtTQN9bh/JKuRAsDRhQ4NXoRJFvSy0ke/9gZ4EVZe6+Tvmd0aLKgISc4VSy62qHcbrB7WHivPeONpaBo+O+WFH8Z0xILejVuo8bpvIh6+TYGiPDsEUvGpvTko4PLZXonQNDwPTRVLOgYAlvrqGGBtiAHWBnBso1vtDbeAy8e9wGRc9o6HS1QGqksabd+6BWY4mNUrxba0pedzsals0u2AtujaDCfdysZvkpBm5FV4Oj476YmCEgFsTbVxdIFDo03o2v8iCv7xOdBSUcD2SewqkHPusQhKlJx05r15qMxVPWwoJXwhErOLxLbFZRZVc3T9HX8jPuy0aXQHyMtxcHBeD3x/Iwhn3GLx4823iM8qwsZRHRqltyglt1hUmXbVoHZNVuK+NhiGQWRavijbpXt0JniC8ihAWUEOPdvqYWBpMNFar/qifUIhA5eoDFz2jse9wOQPlit/8E0/tK9nim1pYxgG310tn3S7anDzzDtCgQUhtXAnIAlfn/NFiUCI3lZ62D+3BzSUG+efUUhyLv54xA6B/DiuE1qoK2LztUCJuRXTe5hhR+m8i09BCV+IlWe8EZEqXq76j0dhmNDNBAaa0g36sgtLcNWnvIqpsbaKKDGXgrwcfpnQGaYtVLHzXigOvYpGQnYRfp/esN3ZDMNg45UA5BTx0MVEG8sHyEZF2qoUlvDhEpkhCibis8QDQHNdNQy0ZrNd9rTU++DvLTItH1e843HVO0Gih6Oi3lZ6aKGmhFv+SdBRU4RpC9lban3DLxH3gthJt3umNd9JtxRYEFJDZ9xiselaABgGGNWlFX6f3rXR/uHzBEKsuegHnoDBkA4t0d28BXrveIL0fPFkP2eXOqOnDOVSaGglfCG+OO2NR8EpUFKQw6+Tu+C7q4EoKBGgoESAPQ9CsWOyrVSvecEzDsU8oej9uWU9xfZzOBx8MYBdjrr2oj/uBiYjNc8NB+f1aLAepMveCXgckgolebkGTR1fV9HpBaJsl65RGSjhl//+lOTl4GSpiwHWhhhobYA2+uofDIqzC0tw0z8Jl73i4Vsp6VtFhprKmNrDFNN7mMNcTw0CIQP/+BzEZhbisneCTCUzS8ktxvfXS3ucBrdDJ+Omn+tRVxRYEPIBDMPgv2eR2HWfzRkxy8kcP4/vXG366Iaw91kkAhNyoa2qiF5t9TBg9zOJY3w2D0WLT2ToA2ATkq047Y1HwalQVpDDwXk90K+9AVJyuaIqr+c84jDbqbXUJuQJhAxOuIj3EFVXE2J8VxO01FLBshOe8HqXhcl73+DYQof3dufXRVJOEbbcZG9IXw9tB+tWTd+9X8wTwDWqvFfiXUah2H4THVVRtsuebfVqNL+BJxDiWWgarnjH43FwKkoEwiqPk+OwhepmVJFiW16Og0W9LfDjzbc48ioasx3NZWJSM8Mw2FChx+lzGe5xqgkKLAh5D6GQwdbbwTjyml0BsHKgFVYPa9+owwxBiTn46zGbXbKoRICfbr2VOGbbxC6fXFDx+SlvPAlhg4pD83uIcocs6GWBky7vkFA652LLzSBcXN5TKv/PHgeniHXdlxV8q46zpR6ufNEL8494IDq9ABNLl6NKqxAYwzBYfzkAecV82JnpYFlfS6mcty5iMwrxLCwVT0NS4RKVIdaroyjPgYOFLgZaG2KgjQHaGmjU6P8Hw7BZNC97x+OGbyIyKqXjrsi0hSqm9zDD1B7vT7E9tYcZ9jwMQ3R6AZ6EpGJIA03wrY2LXvF4UtrjtGea7PU41RYFFoRUgycQ4n+X/HHVJwEAu7RzcZ/GneVfwhdizUV/0TK76p7SZjlJ1sj4WBXzBPj8lBeehqZBRVEOh+c7oHeF+gkqivJYN9IGq86yhdg832Xhpn8SxtWi6Fh1jrvEiL2f1sPsg5+xMtTE1RW9sPiYJwIScjDzgCv+nNFNKgm7LnjG4XlYGpQU5LBnqm2jZlPl8gVwj84U9UpEVcqbYqStIlrB0dtKv1ZzkVJzi3HVJwFXvBMQmpJX7XGK8hwM69gKMxxrnmJbXVkBs5zMsf95FA69imrywCIhuwg/l1ZB/nZYe5mbUFoXFFgQUoWiEgFWnGGfiOXlONg1xbZJinX98zQCwUlVpxkuc+vLPo3UmqZXzBPgs5NeeB7GBhVH5jtUWZRprK0RjryKFo2/b78TjKEdWkJVqe5zYsJS8vA6IkP0fpBNzZfxGmqq4NwyZ6w664PHIan4/LQXNo/uiEX1CFQTsovw861gAMCaYe0bJYdKfFZhadrsVLyJzBBbeaEgx4F96xYYaMMGE9YtNWvVS1TME+B+UDKueCfgZXgaqkiGKWJpoI6ZDuaY1L1uKbYX9LLA4ZfRcI3KRGBCTpMlEWMYBusu+SOPy0d3cx0sbcIeJ2miwILIBIZh0GbDHdiZ6eDq572adNwzp4iHxcc84PkuC8oKctg7pzsG2TT+U417dKZoCKSiWU7mOFNaPVVbVfGjyaz4IcU8AZae8MTL8HSoKsrjyAKHaieqcjgcbB7TAZP3ugAAknKKsfd5JL4d2r7O1z/+Jkbs/V8zu9Xq8+rKCtg/1x4/3gzCKddY/HSLXY5atlS1NspuSPmlN6TFfRrmhlTCF8IzJhPPwtLwNCQV4ZVW3hhqKouyXfZupw+tWpbzZhgGHjFZuOwVjzsBSWIFwypTUZTDqC5GmOloXu8U20baqhhta4Trvok4/Coav0/vWudz1ccpt1i8ikiHiiI76bYx5201JAosiExYdc4XAJt4ynLjHawdbo2p9qYw1GrcFNSpucWYd8QdIcl50FJRwOEFDnBoghz9AfE5mLbfRWL7nVV9Meqvl6L3L/43sDGb1WQqBxVHFzrA2fL9q1/sW+tidBcj3A5IAgDsfx6JaT1MYdqi6smW75NTyMMV7wSxbXVZZqwgL4efx3eGaQs17LgbgiOvo5GYXYQ/ZtRuOeoZd/aGpKwg3RtSUYkAz8NSkVXIw7PQVLwKT0dBhV4JOQ6bVKpsiKOjkVadbvCxGYW47B2PKz7xH8w30tFICzMdzTCuq4lUU2wv7tMG130TcdMvEetG2DRo6fOqxGYUYvsdtsfpf8NtYGmg0ajXb0gUWJAm9/BtCm76JYpt23U/FL8/DMOQDi0xy8kcfawavkRxTHoB5h5xQ1xmEQw0lXFikSM6GDVukiGGYXDOIw4bSosPlTHSVsGT1QPEltZN6i7dP7SyqqiEDSpeRaRDTUkeRxc4wOkDQUWZdSNs8OBtMngCBly+ENvvhuDfWd1r3YaLXnEo4pXfYC9/3vM9R78fh8PB8v5tYayjijUX/HAvKBkzD7ri0LweNerWj8ssxC+3S29II6RzQ0rILsKsg64SqzcAQF9DCf3bs4FEv3YG0Far23cut5iHO/5JuOKdAPeYzPceq6GsgHFdjTHTwRydTeoWvHyIrakOHNvowj06E8ddYrBuROOVJBcKGay55IfCEgGc2uhiQS+LRrt2Y6DAgjSpkORcfH3Op8p9fCGDe0HJuBeUDDNdVcxwMMfUHqYNUkgrKDEH8494ID2fi9Z6aji5yKnaZYQNJa+Yh2/O+0oUt9o4ygbL+rHLz2YedBVt3z3FrlHb1xSKSgRYfNwDbyIzoK4kj2OLHGvVg2Sup4YFvSxw8CW7que2fxLmOWfUODABql5iat+6/r1Y4+yM0VJTGctOesEnNrt0OaojLPTfn13yf5f8UVgigKOFLhbW44bEFwjxJCQVqy/4VTkEoSjPwZXPe6OTsVadg3q+QIhXEem47J2AB0HJ4PKrnnxcpru5DmY4mmNMI6XYXtKnDdyjM3Ha9R1WDrSCeiMluzv6Jgbu0ZlQU5LH7ql2MrHkVZoosCBNJiOfiyXH2dTY+hpKEsmeKorLLBL1Ygzr1BIzHc1rPAv8Q9yiMrDkuCfyuHx0MNLC8UUOjV4FNDAhB2P+lqz38ejb/rAyZJ9IK863+G3ax/fHqLLCEj4WH/OESxQbVBxf5Fin0tErB7XDJa94ZBWy1Sx/vPkWt77sU+Phg6chqYjNLH+S/0KKOQacLPVw+fNeWHDUHTEZhZj432scmu8A+9ZVL0c95fYOLlEZUFWUx84ptnX6DsRmFOK8Zyz+fRr53uN4AgaZhSV1ukZoch4ue8fjmk8CUvO47z1WR00Rk7qZYoajWaOviBjcoSUs9NQQUzo0M6+nRYNfMzItHzvvsXlWNo3uUG3xtOaseS+WJc1WCV+I5ae8EJ9VhNZ6ajXunuYLGdwJSMbcw+4YuOcZ9j6LRNoH/nC9z8O3KZh3xB15XD4cLXRxbplzowYVDMPg6OvoKoMK1w2DRUFFCV+I30ormgJokhUqjamwhI+FRz3gEpUBDWUFnFhct6ACYCe4flWh5kJwUi7Oe8TV+POVl5iukXIJaytDDVz9ojdsTbWRVcjDrIOuuFs6L6SidxkF2H6HvSGtH2nz3p6Nyrh8AW75J2LOITf02/X0g0FFmflH3BGXKTk8UpWMfC6OvIrG6L9eYvgfL3DgRdR7g4pebfXw18xucNs4GN+P7dgkyyzl5TiilTlHXkWLKqA2FIGQwZqLfuDyhejbTh+zHD/OZeIUWJBGxzAMvrsWAI+YLGgqK+Dw/B7QUWOTO+lrKOGbIZIz94d3agmFSk9O7zIK8eu9EPTa8RgrTnvjdUQ6hLX4w3DRMw7LT3mByxdiSAdDnFjs2KhzFnIKeZh9yA1bbkomvNo/115sMtmMA+UTOR98069R2tdUCrh8LDjiAbfoTGiWBhX1HXqY7dwalhVuxLsfhCKniPfBz0Wk5onKsANsdc2G6Cky0FTGuWXOGNLBEFy+EF+c8cbhV+Vl2YVCBmsv+qOIJ4CzpW6NU1FHpObjl9tv0XP7E6w844NXEeli+1tXGO4bWSGvRsV/B313PkUxr+qCXly+AHcDkrDkuAectj3GT7feVlkQr+LP+cWAtni+dgDOLHXGODvjJq+HMcXeFNqqiojJKMTj4JQGvdaBF1Hwic2GprICfp1s+9HW86HAgjS6w6+iccEzHnIc4O9Z3STW368abIWxlZIZvQpPx5sNg/C/EdZifwwBtsv2dkASZh9yw6A9z7DveSTS89/fi3HwRRTWXvKHQMhgcndT7Jtj36BFoirzjs2C3U8P8CYyQ2LfhK7GGN6p/I98YnYRvGOzAbAFrz6GBDrVyefyseCoO9xjyoMKaWSpVJSXw/qR5ZPzMgtKqlzKW1nlKqanljjVuy3VUVNSwP65PTDXuTUYBvj51lv8eCMIAiGDY29i4B7DjsnvmvL+YbBingBXvOMxbZ8Lhvz2HAdfRiOzUsZK65aa+G92dyiVJtTqbKKFPdPK5+x0NtHCrgpZRW023wNTWnucYRj4xGbhu2sBcPzlMT4vTavOFzJQVpBD5abJcdicHwfm2sNl/SD8b4SN1NOa14eakoIowdyhCsGctIUm5+H30l7H78d2hLGO7BVBkxaaY0Ea1dPQVGwrXWK1aXRHDLCWTDLE4bAJqWIzC+FXugqioESADZcDcHiBA5b3awuXqAycdY/F/aBksTLLMRmF2HE3BHsehGJ4p1aY5WSOnpZ6oicDhmHw671Q7HvOdgUv7dsGG0Y2TllrgH3yPPgyCttLa1lUZqCpjB/HdRLb1mvHE9Hrh9/2b9D2NaW8Yh4WHPWA17ssaKoo4ORiJ3Q105Ha+Yd2bAmnNrpwi2ZXJBx/E4OZjmbVJpbKLebhsne82LaGvhnIy3Hw0/hOMNNVxbY7ITj2JgZvItMRlsLmj9g4qvox+beJuTjnEYurPgnIK646H4S+hjJWD2uPSd1NsOyEF8JT89FSSxmH5jlITJac2sMMbtGZuOTF/g46/XAfKwZa4bJ3vFiWTU0VBSjKy6GEL0R+hUmgJjqqmO5ghqk9TGGkLds30fk9LXDwRRTcozPhH58NW1MdqZ6fJxDi2wtsVeTBNoaYYv9xD2VSYEEaTURqHlad8YGQAWY4mGFRb4tqj1VRlMfBefYY/dcr0RyKxyGp+OdJOFYOaofeVvrobaWPjHwuLnvH45x7HKLSy//Y8QQMbvkn4ZZ/Etroq2OmoxkmdjPF7vuhOO/Jjq+vG2GD5f0tG607MrOgBIuPe8CntPehzBxnc5x2iwXDANsndhENCwHAs9DyFSKzncwbbdZ6Y8sr5mH+EXd4x2ZDS0UBp5Y4Sf2PO5s0qyPG/vMKDMPO1/npVjCOL3So8jtw0TNeLLNkbRNi1aedy/q1hZG2Kr457ysKKjoYaWF2pdTt+Vw+bvol4px7LPzic0TbFeU5YgG3soIclva1xPIBbaGhrIAfbwSJspcemudQbQ6HLeM6iQKLwhKBqBCfqqI8WmmrgCcQIj2fKwpkFOU5GNqxJWY4NM4ScWlppa2CsXbGuOqTgMOvovHnDOn+v/73aQSCEtkigtsndfloh0DKfJx/pYjMySooweLSlReObXTx0/jOH/zHZaipguMLHcUSQu1+EAbrVloYWprfX09DGcv6tcXSvpZwi87EOfdY3AlMFivLHJ1egG13QrDtTnkvwY5JXTCjESdOuUVlYPoBV4ntT1b3x+LjnmAYYHJ3U7G6BQzDYMFRD9H7rRM6N0pbG1tuaVDhE5sNbVVFnFrsJLVqpJV1NtHGxG4momRXL8LYOheVM6sKhQxOVJq0KY1aI7Ux1s4YN/wS8fAtO+4fkZqH6PQCtNFXh198Ds65x+KmX6IogZWiPAe9rfSRW8RDYGIuADawmNjNBGuHW4t6W065vsOx0iyif0zvWuXv+nVEBr694It7gclVtk1PQwnRFQJ5SwN1zHAww6TuptCvQ4ptWbC4Txtc9UnAbf8krBthI7XeqcCEHPzzJAIA8NP4To2e9K8pUGBBGhxPIMTnp73wLqMQpi1UsW+OPZQUaja9p6OxFg7Mtceyk16ibUtPeOLBN/3E5hpwOBw4W+rB2VIPPxSU4IpPAs65x0qkIC5z4GUU8rl8TOpuCt0GrAoqEDL450kEfn8UJrZ9oLUBDs7rge13QxCdXoCWWsr4fmxHsWN2lj4dAsB/s7t/lE85OUU8zDviDr84Nqg4vcSpwVOUrx1ujTsBSaLqmz/fCkYfKwOx7+SzMPFS36O61L9gWG1FpObjeVia6D1PwGDQnucSx1nqq2OagxmEDIOjr2NEPXyOFrrYNLoD7CoMJ70KT8cPN9gS62uHW2NEZyPRvsg08X8rZcGXhZ4adNSUxJKzxWcVQVlBDqNtjTDDwRwOFvVLsS0LOptow9lSF65RbMKsDSM71PucXL4Aqy/4gS9kMLJzq0YPTpsKBRakQTEMgx9uBME1KhPqSvI4PN+h1jfyYZ1aYf1IG+yoMC9h2O8v4LN5aJWlwluoK2FxnzZY1NsC94NSsPyUl8QxUWkF2Ho7GDvvhWJkl1aY5WgOxza6Uv3jmJpXjHmH2fTgFe2b0x0jOhvBPTpTVI59xyRbsZn4xTwB9j4rXxI4qosRPjY5RTzMO+wGv/gc6KixPRWNUffESFsVS/ta4u/Sp8jo9AIcfxODpf3K620cqzRpc8/Urg3erorKliWW8IVQU5KHfesWYqtTALYnYoaDGXgCBltvvxV9z1rrqWHDSBsM79RK7PsckZqPz097QSBkMKmbCb4Y0BbZhSW46ZeIy94JYoEDAAzr2BIMgPCUPIl9APBs7QCZnztRW0v6WMI1KhNn3GKxalC7eg89/vkoHKEpedBTV8LWCR/upf1YUGBBGtQJl3c44xYLDocdo7ZuVbcVDZ/1s0REar5ovBcAuv38EOG/jIRiNaWiE7KL8GtpIhpFeQ4mdDVBQEKO2I2+RCDEdd9EXPdNRFsDdcx0NMcUe1OxeQ518So8HXMOu0lsd984GIZaKigs4WPtJT8wDDCthykGVqqUOeHf16LXT9cMqFdbZFFOIQ9zj7jBPz4HLdQUcXqJMzoaN1769M/6t8VZ9zjR6qG/HodjQjcTGGgqIzItHy8q9BRwOKhXVdS6+PVeiOhmXlgikAgqALYo1/4XUXgSws7D0VJRwKrB7TC3Z2uJJZxZpfN78or5sDPTweAOLfHFaW88Dk5FiYDtuZGX44jlcXgSwq70AMpTbGurKooC3p7bnyB6+6iP6mY5yMYQbfTVEZ1egIuecVjQu+7VZ31is0STxH+Z2LlOVVibKwosSIN5GZ6Gn26xORrWj7DB4A51rxDK4XDwy8TOiM0oFKsz0G7T3Sr/uIWl5GHuYTek5HJhoqOKk4sdYWmgAYZh4BuXjXPucbjhlyhW/yGyQi/GaFu2imJtu3j5AiH2PAwT620AgDG2RvhzRjdRtsed90LxLqMQRtoq+G6M+BBIbEahKPhpa6CONrVIhNQcZBeWYM5hNwQm5EJXXQmnlzg1ek0WDWUFrBnWHutLa7LkcfnYfT8Uv06xxYlKVUxvrGicsvRCIYPXken4+dZb0YRNAFBTksdYW2PMcDSDrakOvj7vi5t+iTjrzk5C5nDYVQ1fDW5XZQ9eWTK6sqEdv7hsrDjjLdrf0UgLPdvqoZgnwOnSqrkAO7m1u7kOZjiYY7StkejpvYQvFOXY6LH1Ebw2D5X+L6OJyJUmzNp8LRBHXsdgbk+LOhV4K+YJsPqiH4QMu3y84pDTp4ACC9IgotLyseK0tyhPxLJ+9S/rrKwgj31z7TH6r5dIyikWbR/+xws8+KZ8GabXuywsOuaBnCIe2hlq4ORiJ9Gsdw6Hg27mLdDNvAW+G9MB130TcdY9ViypT4lAiKs+Cbjqk4B2hhqY6WiOyd1NP1h8KSmnCNP3u4qlfwaAowsdMLDCslrXqAzR5Lkdk20lSk332/VU9Pr2qr41/O00D9mFJZh9yA1BiWxQcWapE2xaNW5QUWZqDzMcexMjCuIueMVhQjcTsV4xAA02kbRMSm4xLnrG4bxnnESlz20Tu2BcV2NoKCuAyxfg0MsoPAsRryXT1kAD60bYVNmrkpJbDKdtjyW262soY4ytEbRVFeEbl40jr6PBVMotd//rflX2MG4e0xFPQ1MRlVaAjIIS/O+SH3Z+RHVrJnc3wZ4HoYjNLMTDtykY0bn282t23w9FVFoBDDWVsWXcxznp+n0oQRaRupxCHpYc90RuMR/dzXWwbZL0xhZ11ZVwYpGj2LawlHxsuso+eT4LTcWcQ27IKeKhm7kOLi7vWe1SOk0VRcxxbo3bq/ri5so+mOloDvVKf5zDU/Px0623cPjlEb497wvPmExRoqCKnoSkoOf2JxJBhdd3Q8SCigIuOwQCADMdzdC/vYHY8feDymfhL+3bplGTdjW0rIISzDrIBhV66ko4u9S5yYIKgO363ziqfIIew7BF3iqWCV89VDILrDTwBUI8Dk7BkuOe6LXjCXY/CJMIKtw2DsYsJ/Y7eds/CUN+e47td0OQx+Wjk7EW5jq3hpKCHCJS8zHjoKtoWKeYJ8B13wTMO+IuEVSMsTXC92M6YkJXY9zyT8Sfj8PxPCwNDMOm2C7T20rvvcOWjyvkU7ngGS8RjDVnakoKomW9h19F1frz7tGZOFw6d+rXybZ1rgbbnFGPBZEqvkCIFWe8EZVeABMdVeyf20PqKXvbtdTEsYUOYksxT7vFIjq9AO7RmeALGfRvb4C9c7rXuEJiF1NtbDftgu9Gd2C7mT3iRMm5ALYX44pPAq74JKB9S7YXY1I3U6gpy2PbnWAcfR0jdr6Zjmb4ZUIXiXX8O+6GIC6zCCY6qmI3NYCd6PpZhdUvlfc3Z5kFbE9FcFIu9DWUcGaps0xkEO3X3gD92xuIrb6oaOUgK6leLz6rEBc84nDBMx7JueW9bg4WbC/agRfsjez36XZoqaUCn9gsbL0dDK93WQCAllrKWDvcBpO6mUBOjoPxXY2x5IQn/OKy0WPrIzha6CI4KVeiWqmFnhoW9WmD2/5JouFJgE3INtXeFNN6mMFCXx0W62/X6OfgcDgI+XkEbDbfAwCsueiHDkaa6GTc8JNvG8O8nhY48CIKHjFZ8I3LrnGitgIuH2suVj936lNBgQWRqq23g/EqIh2qivI4OK8HDDQbZsLSAGtD/DC2o1idjbL02OPsjLF7ql2Nl7RWpK6sgBmO5pjhaI6gxBycc4/DNZ8EsT/UYSn52HLzbZU1PgDg7FJn9GwrWZb7TUQ6Trqyqw1+nWwLzUpDIBXPd3h+j49mUlxGPhezD7khJDkP+hrKOLvUCe1kIKgos2l0B7wMT0PlMjMdjLSk8v+ghM/2Tpz1iMPL8DTRkEMLNUVM7s5W9Wytpy6asDu0Y0v0aK2LL8/64KZfIgA2IdVn/S2xrJ+lWLBsqKmCfu0McKP0uIrzjyrKLCjB99fZZaZyHPbfz3QHMwyyMax28vOHqCjK4+X/BqLvTnbobvRfr+D7/dB6T3yWBS212IRZV7zZhFl/1zA52o67IYjNLIRxFXOnPiUUWBCpOe1Wnnjn9+ldG3yW/4JeFghPzceZChPOAHZ9fl2Ciso6GWvj5wna2DDKBrf9k3DOI0705Fidl/8bWGXK5XwuH2sv+QNgM232aacvtr+whC/63QGo10RXWZKez8Xsg24ITcmDgaYyzi51FlVslRXtW2pihqO5xPfo+CKHep03Or0A5zxicdkrHun55bU6elvpYYaDOYZ1ainqzfvzUTiCEnOhIMeBtqoiBv/2HCV8ITgcYEp3U6wZbo2WpYmVcot5uOOfhMve8fCIef/3sUxuMV+UYnuKvanUkj+Z6arh+CJHzD/iDgDo+tNDRG0b1Wwybr7P4j5tcMU7AXcCkrB+pA1MPvA7e13hwWHnFDuJuVOfEgosiFS8iUzHD9crJt5p+IRCDAOJCWcAW43x7U/DazwM8iFqSgqY2sMMU3uYISA+B2P/kSxxXmbwnucY19UYs5zM0c1MR/TEu+1OMBKyi2DaQrXKxDsj/ijPLvpq3UCptLuppedzMeugK8JS8mGoqYyzy5zR1kC2gooyk7qZSAQWFbO31lQxT4B7gck46x4rqkkClA85THcwkyjAFZSYgz8eswnU+EJGNF+hV1s9bBrdAZ2MtcEXCPEsNBWXvRPwICgZ3NK2yXGA3lb6mGJvCi0VRSw85oHKRnVphemlKbbrssLhQ/q3N8A3Q9qLksC13XQH0dtHS/06ja2TsTZ6tdXDm8gMHH8T896hybxiHv73ngeHTw0FFqTeYtIL8MVpb/CFDMZ3NcYXA9o2+DVL+EKsvugn6iqurOP396X+5BSTXoDpFcqXV9kugRCXvNjJbDatNDHbyRx6Gsqim9bOKbYSSXciUvNFkz67mGjDtEXVRaaak7Q8NqgoK3J1dqkzLGU0qACA2wFJEtu23wnBv7O71+jzocl5OOvOFgArK8cux2FvujMczasdcijhCzH6L/FA1dJAHRtHdsDgDoYIS8nHtjvBuOaTgNS88oq97Qw1MNneFAOtDfEmMh17n0VKJGIDgNFdjPDXzG4NElBU9NWQdngZngbPd1lgGGDZCU8cmNejQa/ZGJb0bYM3kRk46xaLVYPbQaOahFlbb7EPDua6alLJ2NncUWBB6iW3mIclJzyRXciDnZkOfp1s2+BzAwpL+Fh+yhsvwtKgKM/Bnmld0cVEGwN3PxM7zub7ewjbOlIq17zhl4hVZ33EtmmqKODN+kFIyeXinHssLnvHI6uQJ9ofkpyHzaW9OABgZ6aDnpaScy+G/FaepvnS5z2l0t6mNvOgKyJS89FKSwVnlznLdC6OfC4fFz0lVzXcDkjC3KgMOFfx/wxgv4e3/JJw1iNWrLCciY4qpvVgq3q+b8ghJDlXrKcKYIt+jejcCrf9kzDm71diy6BbqClifFcTTOpuggKuAOc9YvHbw7Aqe1aGdGiJxyEpuB2QBC5fgL9mdpNaD151Ln3eSzT588HbFBx7HV2vBFOyYEB7Q1gaqCMqrQAXPOKwqI/kz/M0JBXnPePA4QC7qnhw+BTRb4DUmUDIYNVZH9EN5OBc+wZfHplVUIKFxzzgG5cNVUU2r0XZks0zS5ww61B5tssSvhDzjrhLLE+tjWKeAOsu++O6r3jPyNdD2uGrwe3A4XCgqaKI78Z0xNoR1rgflIJz7rGiiaQV+cVlY/RfrzDTyRwTuhpDU0VRNOkOAFYNbif1FTRNJSI1H0baKji71BkWMhxUAMAV73ixct8Vbbn5Fre+7CP2xB8Qn4OzHrG44Zso+pyCHAdDOrTEDEcz9G1n8N4egtS8Yvz+MEyU4AoADDXZcuYP36bg51tvRRkvFeU5GGRjiMndTdHFVBvXfRPx1TlfsQJgHYy0oKEsL5pv8evkLpjuYI47AUn4+rwvHgWnYsYBVxye79Bgk6nLhP8yEu023QUA/HjzLbqYasO+tW6DXrMhyclxsLhPG2y6Gogjr6Mxv5d4wqycQh7WX2GHQBb1bgOnaoLQTw0FFqTOtt8JxrNQtvTywXk9GrxqX1JOEeYddkd4aj501BRxZIEDupu3EO3vZaWPbRO7YGNpTguArV75+8MwfFOHfAQRqXkY8tsLie23V/WpclmdsoI8xtkZY5ydMaLTC/D5KS+J7um3SbnYfC0QP90MwqRupqIS7gDwzZB2tW6jrDLWZnsqKs8nkDVCISM2aRYAbFppiv6/BSfl4rxHHMbYGeG6L1uevGIvgoWeGqY7mGOyvQkMNd///S/mCXD4VTT+exohlisDALh8IdZdLv/e2pnpYHJ3E4zqYoSAhBycd48TDTcCgLqSPMZ1ZWuFCBlGVDl3WT9LTHdgczCM6mKEllrKWHLcE/7xOZj432scW+jYoJNnFeXl4L5xMBxL82dM3usC902DP/i7kWWTupli9/1QxGcV4UFQMkZWqNvz480gpORyYWmgjrXDrZuwlbKFAgtSJ+c9YnGoNK3vnqlVl16Wpsi0fMw77I6E7CK00lLBycWOVS5ZnOVkjojUfFFxLwD483E4Ohhp1WpC6UXPONEqjjImOqp4+G2/GnUp66orIbt0WMRIWwVWhhpi9R54AkYsqBjdxQgFJYJqx3BlXXKFTKgAcG5ZT5jryf5ckVcR6YhKK3/6V1WUx0/jO2Pa/vK5NBuvBogFq0rychjRuRVmOJrBuY3eB+fxCIUMbvglYue9ECRW+j2VySnioZWWCiZ2N8Hk7iZQVVLARc84jP/nNRKyyxNndTPXwcwKKbYTsosw/p/XKOELMaRDS6wbYSN2XvvWurjyRW8sOOqOdxmFmLz3DQ7O6wHHNg3Xi2CopYKLy3ti6j72d+j4y+P31vSRdapK8pjj3Bp/P4nAoVfRosDiflAyrvokQI4D7Jlq91Els6uv5vlXjDQp9+hMfHctEAA7JDDatmHz4AfE52D+UXdkFpTAUl8dJxY7vneC46bRHRCVno9noeVJj5af8sLdr/p+sCZFAZePb8774sHbFPFzjuogVv3yQ36+9RbJucWw0FPD3a/6QVVJHrEZhTjvGYsLnvGi0tZlbgck4cHbZEyxN8Usx9YNHqhJU1JOEWaWPjGXaQ5BBQAcr9RbcXVFL7Ss5um6naEGZjiaY1I3kyprclTFIyYTW2+9hV98TrXHTOpmgkndTeHQpgWehqRi6+1gUTZMANBWVcSk7iaY4WAulg2zgMvHkuOeSM/nwqaVJv6c0bXKIZg2+uq48nkvLDnhCZ/YbMw55IY90+wwtgFLeDtY6OL7MR1FybjabbqLmB3Nd6XI3J6tsf95FLzeZcE7NgutddVE2X4/698W3Sr0nBIKLEgtxWUWYvkpL/AEDEZ3McKqQQ3bff8mIh1LT3iioESALibaOLbQ4YNVAuXlOPh7ZjeM/+c1oiqMRY/88yW8Nw+ttmx7cFIuRv75UmL7o2/7wcqw5gmdHgen4JJXPDgcYPdUO1ENB3M9NawdboOvh7QXjUNXxBMwOOseh7Pucehioo2ZjuaiOhGyKjG7CDMPuooKXDUn7zIK8CRUvO7Gv08jcT8wucrj987pXuPvwbuMAmy7E4z7QSnvPS5wy3Ck5XFxziMWX5/3Ect30dNSDzMczTC8UyuJp2GBkMFX53xLM5kq4/ACh/dOGtTTYFfmfHXOB/eDUvDlWR8kZBfhs36WDTbZelGfNngTmY5HwezveNo+F1xY3jwnJxtqqmBcV2Nc8orH4ZfRYMAgPb8E1i018fVHNIQpLc2zb4o0ifzSJ6TMghJ0NtHC7ql2DZoI515gEhYc9UBBiQC92urhzFKnGpce1lRRxPFFjqj8N7P7zw8lZtEzDINTru8kggqbVpoI+XlErYKKnEIeNpRWzFzSpw16WEh2OUemlVeuNG2hilWD26FVpfkpAQk52Hg1AF23PMDGqwEITKj+ibepJGQXYcYBNqgwbSGdhEuN6YTLO4k8KDf9ElEiEKKziRaUKyVZ++lWcJV1YirKKeRh0TEP9N/1TCKoqLgyRktFAT+O7Yglxz0wcPcz7H8ehfT8EuhrKOPzAW3xbM0AnF3mjPFdTarsYv/1XggeBadASUEOB+fZfzB5E8Bmyvxvtj0Wla7U2HE3BJuvB4IvqH2+jpo6NL88yZh7TCb+fhzeYNdqaItLV4TcDkjCnYBkKMhxsGea3Ucz4VqaZPdRiMgUgZDB1+d8EJqSB0NNZRyc16PKaorSctY9FpuuBkDIACM6tcIfM7rWegzTTFcNFz4rH+st0/678lLrecU8fHHaW2z+AwD8MrEzZju1rnW7t9wMQmoeO5lr9bCqJ3NVXGL4dM0AKMrLYdUgKzwPS8NZ91jREx7AJkw64xaLM26xsDXVxixHc4y1M27yJW3xWYWYedAVcZlFMNNVxbllPdF7x5MmbVNNCYQM7gUmi0p/l9FQVsD4rsaY6WiOzibayC4sQf9dz0R5KV6EpeFJSGqVWVHT8riYccAFkRXma5SZ7WSOSd1NATCYvJf9LuYW8/FjaQr3muS7qOi8R6yopsjuqXa16oaXl+Pg+7EdYdJCFVtvv8Up11gkZRfj71kNtxw1ctsotN14BwCw52EY7Mx00K9S8b3moIORFqxbaiI0hZ3Yu2KgFTqbNJ8hy8ZEgQWpkV33Q/EoOBVKCnI4MK8HjLQb5gmVYYD/nkVg571QAMAMBzP8MrFLnRP8OFjoYs9UO6y+6Ce2feDuZ/h7Zvcqs2g+WzOgTkskHwQl40rpZK7d1UzmulBhwua6ETaim4iCvBwGd2iJwR1aIimnCBc943HeI05s4p5/fA784wOw6VogZjiYYZaTeZMUfYrLZIOK+Cw2IdC5Zc5SSxHdkBKzi3DBMw4XPePFfq9l3DcNFru56qgp4ctBVth6O1i07edbb9G3nQGUFOTAEwjxLDQNn5/yEq3WKKMgx8GfM7phcAdDCIQMLnrGiQKJMjXNd1GRa1QGNl1l5zd9NbgdxtVxnsTiPm1goqOCr8754nFIKqbvd8XhBQ2T0EpejgOfzUPR7eeHAIB5R9zxat3AZpcIjmEYsd7GBb0smq4xMo4CC/JBl73ise95JAA2AUxNK/3VRUZBiSio+GJAW6wdbl3vMeDJ9qaISMvH3meRom0xGYUSQYWjhS5OLnGsU9dmVkEJNpb+wV/az1JsGWwZoZARpf0FgM+ryVBqpM0Oj6wYaIWX4WwvRsVudYGQwWm3WJx2i4WdmQ5mO5pjjJ1RgydAAtigYsYBVyRkF6G1HhtUNFSQKQ08gRBPQlJxzj0Wz8MkC42V8d48tMrf37yeFjjp+k40hyQmoxBrLvpBT0NJoqItAFgZauD0EicYairDLz4HP94Iwk2/RLHlpb2t9LCsX9tap9iOSS/A8tIgZoytUb3H9kd0NsKZpSpYesITAQk5mPjvm3qd731aqCvh1pd9MOZv9t9cn1+fIuTnEc1qJcVl7wSxAPKydzyW9K35hO5PCQUW5L283mWJ5gysHGiF8V1NGuQ6vErjvN+N7iDVf7Rrh1kjMjVfYrVHmd+n22FiN9M6n/+HG0FIz+fCylAD3wypOmfGV+d9Ra8vfPbhSWzychwMsDbEAGtDpOYW46JXPM55xCIus/xp2y8uG35x2Vh/xR+znVpjlpP5B1e+1FXFoKKNvjrOLnVGK23ZzE/wLqMA5zzicMlLfAWOs6UuzHXVcKFSps3qJvQqKchhw0gbLD/lLdp2o4o08oNsDPHnjK4QCoGrPvE45xFXZYrt3VPtMMW+9t+znEIeFh33EGW43T3VTiqTLu1bt8CVz3thwVF3xDTwBNzOJtrYOcVWFFzbbL4nGpKUdUk5Rdhyk82ia66rhtjMQhx9HYMFvSyg0EyX0TYkCixItRKyi/DZSU+UCIQY3qklvq1DkqmaKOYJsPyUl+j9nql2mFyHP77vIyfHwbyeFlUGFnum1i+ouBeYhBt+iZCX41S7nj2nkCdW16S2eQQMtVSwYqAVPu/flq1d4B4rVt9CyAAnXd/hpOs7NteBoznG2hpLbR5MbEYhZhxwQWJOMSz11XFGBoMKLl9QZeZTfQ0lTLE3w3QHM7TRV8eS455inzu2sOoqpkUlAjx4m4zL3gnVXnO0rRHWj7BBQnYRNl8LxJ3AZNHkYGUFOQywNhD1Nk3vYVanoIInEGLFGW9EpRXAWFsFB+dJN8Othb46rnzRG0uOe8C7NDX56wjJzLHSMK2HGdyiMnHZmw3shv3+Ag+/7d8g15IWhmF7GvOK+ehqpoPTS5zQd+dTJGQX4X5QSoMvt2+OKLAgVSpfI1+CDkZa+G1a1wZZAZJTxMPS456Izyp/Cpd2UCEUMtj7PBK77odWuX/1RT84ttGtstz5h2Tkc0Vj3p/1s4RdNcNEvXY8Fr32/G5Ira9TRk6Ogz7t9NGnnT625HNx2SseZ9xjxZZ7+sRmwyc2G+sv+2Ouc2vMdDKHTau692K8yyjAjAOuSMophqUB21PRsoGzrNZGRGoezrrH4UqFWi0cDtCvnQFmOpphcIeWorkssRmFeBwiHlwOsDYUvWYYBh4xWbjsFY87AUnIqybVN8DOcVBVkse8I+5iKbZtWmlipqM5JnQ1EVX8NNZWwaYxtS9OxTAMfrwRhFcR6VBTkseh+Q4NksVSV10JZ5Y6w2bzPdG2vc8isby/9Jej7plmh0fBKcgp4iE8lS2y9r7KoU3trHscXoanQ1lBDnum2UFdWQFznFvjr8fhOPQqigKLKlBgQSQIhQy+vVC2Rl4Jh+b3aJBVCKl5xZh/xAPBSeUpkvU1apZ4qKYy8rmYfcitym7pivrufIqgLcNr/XN+fyMIGQUlaN9SA19VM+btH58tGmMfYG0A/Roumf0QfQ1lfNa/LZb1s4RrVCbOuseKddMLGeC4yzscd3mH7uY6mOXUGmNsjWr1tBuTzgYVybnFaFsaVDR06vaaKCoR4HZAEs65x8LzXZZou5G2Cqb2MMO0HqZVTg486RojtsR0lhOb/jo2oxCXveNxxSdebKjpff6ssHSSTbFtjBkO5rA11QaHw4FLZIYoXfiOybbQUlGs9c957E0MTrvFgsMB/pzRDR2NG2aYC4DE9+LXeyGIyyrET+M6Sb273/f7oWizgV0pcuBFFLqbt6hVZtzGEpdZiF9us5Nu1w63RtvSCr1znVtj37NI+MRmw+tdFuxbU4KsiiiwIBJ+fxSG+0EpUJKXw/65NVsjX1uxGYWYc9gNsZmF0NdQxnejO+DrCnMQpME1KgMzKmWEBAC3jYPhHp2JLytVK+30Q+1Krd/yT8Rt/6TSIZCu1U76HPfPa9Hrw/Or7navDw6Hg55t9dCzrR5+HNcJV7zjccYtViw5mHdsNrxjs7Hmoh8W9LLALCdztK8iJXpF0ekFmHHABSm57NyRM0udqnxa9ozJxJRKS3pXnfXBl4Osqky7Xh9BiTk45x6Ha74JyCtmexPk5dhCXTMdzdC/vWG1EyILS/g47xEntq2DkRam7nsjKuAFsMtOOxhpIjQ5D7nF1fdYlPl1cheMsRVfAlzA5WPtJXYl0kxH8zotr3wamoqfSzNXbhhpg6EdJZe5NiQOBzjjFouk7CL8M6u7VB8uOBwOArcMR+cf7gNgM+M+Xt1fdOOWBUIhg7WX/FBQIoCjha4o/wcAGGgqY0I3Y1zwjMfhV1Gwb23fhC2VPRRYEDHXfRPw95MIAMD2SV0apDJhcFIu5h1xR1oeF+a6aji52BHFPOkl6REIGfz5KAx/lf4cZcbZGeP36Wza47F2xohMy8cfj8QT9lhuvFOj1MPp+Vx8X1oSfcWAttWm4D7hEiN6/ePYjnVeNltTuupKWNLXEov7tIHnuyycdYvFFR/xOQLH3sTg2JsY2LdugVmObN2Jyk+rkWn5mHnAFal5XLQz1MCZpc4SlTEPvIjEtjshVbbjhl8ibvglYoC1AZb0sURvK706d6nnFfNwwy8R5z3i4F8hNbaZripmOJhjir1pjYZmrvokSAQKm0tT08txgN5W+hhsY4jgpDxc9o6XWEJalVZaKhhrZyyxomT73WDEZxXBREcVm0bXvps/LCUPX57xgZABpvUwxdJGXn3Q20oPc50t8NU5HzwNTcP0Ay44Mt9Bqr1VGsoKePRtP1Ghv8F7ntep17ChHHeJgWtUJlQV5bFrqq3EA8fiPpa44BmPe4HJiMssrNNQ6sdKNv4PEpngG5ctKrz1WX9Lqc91ANjaCYuOeSCvmA+bVpo4scgRhloqCP3AUEVNpeYWY+p+F4kU00cXOmBghbF0gB0jj0wrEJtUCQAzD7ji7DLnaq/BMAw2XwtEZkEJbFppYmU1ac0FQkYUfADAggpPPA2Nw+HAwUIXDha6+GFsJ1z1icdpt1iEp5avw/d6lwWvd1lYfdEPC3tbYJajOdq11EREaj5mHWSDivYt2aCibPiGLxBizmE3uEZl1qgdz0LT8Cw0DTatNLG4TxuM62pco+W8DMPAJy4b59xjccs/CYWlQ0mK8hwM79QKMxzM0avthwuAlQlJzhXNhamonaEGJtubYnQXI9wLTMZvD8Oq7aVwttTFWDtj7LgTIpp7kZxbjH3PIvFthWRor8LTcco1FgCwc4ptrVOyZ+RzseiYB/K5fDi10cXWCV2aZOXEiM6tcHaZM5Yc90RgQi4m/vcGxxY6SLUXyspQE//N7o4vTrOrbjr9cF8mVopEpeXj13ts0LxxlE2VVXqtW2mibzt9vAxPx9HXMfh+bMfGbqbMosCCAGCrUy474YkSvhCDbQzxv+E2H/5QLT0OTsEXp73B5QvhYNECh+Y7QFu19uPO1XkZnoa5h90ltnt+N6TKeQ0cDge7ptgiMjUfbyvM83CJysCu+yFYW83v4KZ/Eu4Glqf0VVKoevz5s5Plqw+ur+hd2x9HarTVFLGgdxvM72UBn7hsnHWLxUUv8eWWR1/H4OjrGLRQUxRNgLRppYnTS9g06un5XPTY+qjK83cz18G5Zc6w/q584l/ZkrwyIcl5WHvJH7/eC8X8nq0x27l1lUs8swtLcNUnAefc40QZDgGgrYE6ZjqyGSyrWxpaWXo+Fzd8E3HZO16s1HmZmyv7oLOJFu4GJmPKvjdIyeVKHKOvoYwp9qaiFSUAm8StrAgfAOx/EYWpPcxgpquGvGIe1l1mg/O5zq3R20q/Rm0tw+UL8NlJL8RnsXlC9s2xr/b71Ri6m7fA1S96YcFRD0SnF2Dy3jc4MK8H/s/eVYc3db7tO153dzcqUIVixd19DGdjMLYxxtyV/QbzAROcbdhguDu0QFsqUOruLmnTxs/3x0kOSeNtmX3c18VVGk+ac97nfZ5bBvrY9tlzTAxzxvLB3lQiccynl3tFcO4tJFICGw5ngi+SYrCfrVYH3pVDfXCzoBEHU8qxbox/j3g0/0U8KSyeAF1CCZ7Zm4r6dgECHc3x7YIBfd6yP3KvEq8duQ+JlMCoIAf88FRkn0khxRIp/ncuF7/cVLZoXhDrgU+nh2rd1RqxGNi9LAbDNl1VGsdsuVqEYGcLTA5Xdjasb+fjvePkorJ2pJ9G58umDgFlzc1h0jWqRf5K0Gg0RHpYI9LDGu9OCcHxjGr8dqdMidgqLyoAkn9wObdeydRLEevHBOCFkX5qd5dHVsdjxZ4UanQR62WD8uZO1HL5+PJiPn64WohZUW5YPtgbvvamuFvSjAPJ5SpyzUnhzlgQ64FoT2u9drECsQSXc+pxNK0S1/IaNI4zPp7WDxKCQPiHFyiuhiISAu0xP8YDo4JVLbbnx7hjT1Ip1f0RiKX4/GwutiyMxGdnclDVStqcvzHBsOKcIAi8eeQBUstaYG7ExI4lMXqnqD5OeNqa4sjqeDyzNxX3ylqwaMddbJ4T0aeeNu9NCcHVvHqUNPLQ2CHA63/cx/9mh/fZ4xuC7TeLkVbeCjMOE1/M1p6HNMzfDv4OZiio78DB5AqDEpD/y3hSWPw/B0EQ2PBHJh5UtcHGlFSA9HWa5vabxZQt8sxIV/xvVrjOPAR9Ud3ahak/JKKxQ3m3uf+ZgRjkq9+uysHCCEdWx2PSd8pOnGt/T4eXrSmVB0AQBN7+MwutnSKEOFvg+RF+Gh8z+tNHu/u7b43S9+38ZbAwYmHRQE88HeeBB1Vt+PBkNu4pqCsAkpPwZ7qqh8PvK+MQr2Mnbm9Opmk+/3saruU1ILWsGR9O7QcLYxZ+uVmMrCoulYHSHcHOFlgQ645p/V316mjJxyZH0ypxMrOGyvYAgAh3Kwz0tsFPsmwNOd5VGFHJYWXCwtJ4L8yNdtdqsc1k0PHWxGAs251CXXb6QQ08zuVifzJJDt00O8JgrsDWa0U4ml4FBp2GbQuj4OfwzyEy2piy8dvKOKw/lIEzD2rx0oEMVLZ0YU2Cb5+NLa68MpxSihxMrUCst81jGcdqQ0FdO768SEqE35scopO4TqPRsHKoN14/8gC7EkuwbPATwyzgSbrp/3t8d7kQp+/XgMWgYdvCyD4lIBEEgU3nc6miYsUQb2yeHdFnRcWV3DrEf35FqahgynIJ9C0q5OjnYomfFqkyuyd/f4t6/GMZVbiYXQcWgxyBaHofqaXNlKRxYpgTrEz+/l2nJtBoNHCYDJQ2qoZnqcPKId5w1NMYy5TDxC+LozEnyg1SglzMC+s78Oq4II2y4iWDPHH8+cFYPMhLZ1FR1dqFLVcLMeqr65i5NQm/3ilHW5cIThZGWJ3gi0vrh+k1ghrgYYXdy2Jw750xWDc6QK/cjoRAewz1Vy6u5JbxS+O9DB4VnMuqoXxWPpjaD0P8DRuh/BUwYjHww4JIPCvblW86n4e3/nzQZ+moNBoNuR+Pp35/5XAmHlb/dam+YokUrxzOhFAsxYhAe8yJ1q+omdbfFbambFS38XE2q/Yxv8p/B550LP4f4/T9GsrA55PpoYjrw7mpRErgnWNZ2J9M7khfHRfYZ7sboViKj049pAhycjwz1BtvTQzu8XOM6+eE18cHUaQtOaI/uYSbr43ABydI6d9Lo/y12mYrSi9/WBDZo9fyVyG3lquUtqoL22+VYPutEsR622BhnAfGhzppJWOyGHR8MTscNBpwKLWSUhzJYWnMQpdIQo0/9twuw9msWiyJJ8mk3UcBPIEYZ7NqcTStEreLm6gCzpjFwIRQJ8yMdMMgX1tqlFfbxlfpVsgxOdwZ70/pp6J20Qc0Gg1vTQzGxO9uqkSvvzZefaqtJjyobKOk1kvjvbBooOGpun8V6HTyfbtaGePDkw+xP7kCNW18/PBUZJ90Oo1YDNx8bQSGfnEVADDpu1vIfG8sLE0eP3dh27Ui3K9sg6UxC5/PCtf7PGLEYmDRIE98c6kA228WY3K4899OPv278aSw+H+KrKo2vHI4AwDZSZgX49Fnjy0QS7DuQAbOZtWCTgM+nRGGBbF98/gVzZ0Y980NSiUgx9E18WqDvwzFc8N9UFjfQVkOyyE/0YW5WuK54erDwwBSginH5zPDHotbaV/h97vleOvPB2qve3GUP14e7Y8ukQSn7tfgtztlyFSQeiaXNCO5hFSGPDvMB/Nj3FUeQyyR4mpeAw4kl+NqXr3K9UdWx1PGQq2dQvyeXI49SaWo4wqw6Xwevr9SgNlRblg22Bu1bXwcSSOlfYp/+0E+tpgZ6YoJYc7UwkYQBO4WN+FASoXaUc6KId54Z1LPC1A5gp0tMDfKHQdTlb0xRGIC0LNJVdvGx8q9KeCLpBgeYI93eiBN/TuwJN4LzpZGePFAOq7lNWDeT7exc2lMnziyutuYYNeyGCzbRY6aIj66gKLPJj5WqXZ2NRffXSGl5x9O7Wfw+3h6oCe2XitCZmUb7pW1INqr72X6/ybQCKJ7vf14weVyYWlpiba2NlhYPD4XuSfQjHouH1N/SEQtl4/hAfbYsSS6z+aCHQIxnt2biqSiJrAZdHw7vz8mhOm2vM2rbce4b27AzoyN1HfGqL3NuawapTAogJyL33htRJ+ysQViCeb+dAeZFa0q151fNwyBTurldmKJFH5vn6V+18cP468GQRDYlViKj05lq71+34pYDPVXb+aUW8vFgeQKyk1SG9aO8MPhexVKSotYbxvYm3GojJMIN0vsWBqjpNgRiqU4db8a22+WKCl1FOFtZ4qZA1wxI9JVyV2zUWZxfjClQskcTBF7l8f2yKxKEwrq2jHm6xtKly0f7K2X9LBLKMHcn27jQVUb/B3McGRN/N+uKvB64zQA0sfit5WaJddyZFS0YsXuFDTxhHC1MsauZTE6jdf0xdcX8yl3UwadhqLPJvbJ43aHUCzF1B9uIbe2HeP6OeLHp6N6VHS+ceQ+DqRUYHw/J/yoZqz6V0H+N9y9LEbJrr4voO/6/YRj8f8MfJEEz+y7R1k0f//UgD4rKpo6BHjqlztIKmqCKZtUW+hTVOgCXyTBK4cyVYqKdaP9kf7umD4/GXOYDOzUQGKVx8erw+Kdj6SuZ14c2qevqbcQSaRYsjMZ3m+eUVtUJL0xEqWfT9JYVABAkJMFPpjaD7kfj8dXcyMwwMNK421/uFqIOq4ANqZsPDvMB5dfGY5DqwZhy8JIHF0TD2sTFjIr2zBrW5ISv6NTKAZPIAZLi8TyxVF+WDXcF27WJpBICVzPb8DqX+9h4GeXsfFsrsaiAkCfFhXAI16FIvbeLkVhvXZfFrltvpw0vXNpzN9eVPQE/d2t8OeawfCxM0VVaxdmbUtCUlFjnzz2y2MCqO+YREooybf7Et9dLkBubTtsTNn4dEbPPUOWDyF9as5n16KsST/O0n8VT0Yh/49AEAReP3IfmRWtsDJhYceSvjuZVbV2YdGOuyhu4MHGlI3dy2IQ7mbV68ctaeRhxOZrKpefemEIpdZ4HLA14+DomniM7bYb/TO9CuFulljWzeyqnsunEjWtTViPNdPBEDR1CBClwX8CAJLfHmVwqJURi4GZkW6YGemG8w9rsWrfPY239bI1QbibJdwVOguRHtY4sjoeS3Ylo6ypE1N/uIUl8V4oqOvAldx6CGVkQAadhoQAewzwsEJpUydO3a8GXyTFywcz8fLBTBizGGDSaVqDwhSxvI8Nyi48rFVxNQUAsZTAhyezsXd5rMZF6suLeTibVUvZ5v+bXRs9bE1wZHU8nt2XipTSFizZmYwvZof3KjFYjqOr4ymlyPmHddiTVIol8V69flw5MitasU22WfhkemivcnwCHM0xPMAe1/MbsCuxFB9M7ddXL/Nfhycdi/9H2HqtCMczqsGk07B1YSS87FTd5HqCgrp2zNqahOIGHlytjHH4uUF9UlQcz6hSKSrcbYzx8MNxj7WokCNDFiHdHR+ezEZiofKuLPazR+mlN14b8Thfll5IL2+B1xunNRYV/d2t8OCDsT1KyuSLJPgzvRJzf7qttagAyIyStb+nI+Cds/j8bC61k/O2M8VH00IBAFy+GN9fKcS5h7UQSqQIcbbAu5NDcOfNUdixNAZrR/pj85wI3HhtBMIVrNO7RBK1RUW4myW+mdcf3UfyPbHW1oQWnhBvyVNth/tg85wIpetvFjTiSq4qrwQAjqZVYstVcjHbODMMMf+Beby1KRv7VsRhUrgzRBICLx/MxA9XCtDbSTuNRkP+JxOo398/8RD3yvRzfdUFvkiCVw5nQiIlMCXCBRP7oLu6cihZvB5KrVCSPf9/w5OOxf8TnH9YqyRni/ftGzlbenkLlu1OQWunCH4OZti3IhbOlr0LLesSSvDKYVIvr4i3JwZj5VDvv4RxXdXaRQVAOVsaoaaNr3T9wu13cf3VBHjamiJJociYHeUG87+ppU0QBPYkleKDk+r5E3JEeVpj97IYg19nTg0XB5LLlTI36DRgRKAD5sd64Jm9j1rVq4b5qKgxfrxepHWUBADLBnvh/SnKO73SRh4Oplbgj3uVaGhXdcdUhNwU7YvzeVD0xnKxNOpT8t/7Jx6isYMMZ3t5dADYDDp2JZYoOXx+fCobQ/3tlZwzU0ub8cYRkjC7JsH3L/dpeJwwYjHw/fwBcLMyxk83irH5Qj4qW7rw8fTQXknM2Uw67r41CnGy4n3Wtts96rR1x1cX81FY3wF7cw4+6qPuwhA/OwQ6miOvrh0HksuxSgvR+7+MJx2L/wfIrubiZZmcbckgTzzdR3K2G/kNWLj9Llo7RejvboXDqwb1uqho7BAi+L1zKkXFhZeH4ZlhPn9JUUEQBN44ch/tAjEGeFjh1usjqXhtRQzfdA3tfBGe2n6XumzT3+AWKJJIsXx3CrzfPKO2qNjyVCTMjcg9RLSnNfYsj9W7qOAJxDiQXI5pWxIx4dub2HO7DFy+GK5Wxlg/JgCJb4zEjqUxKsmbb04MRv4nE7DlqUidrqPvTg7BtP6kw+muxFJ8e6kAfJEExzOqsODnO0jYfA3brhWhoV0AOzMOJoU5I0SD3Hd/cjkmfHtTpYA58Owgvd6vPjj7oAYnMqtlqbYRMGIxQKfTVDoipU2d2JX4yA22orkTq/bdg1Aixfh+Ttgw1jBZ6r8BdDoNb04MxsfT+oFOAw6kVGDFnlR06Dmu0gRHCyMcVMjvif30MkS98M9ILW3GLzfJwnfjjLA+czil0WhYIeta7E4q7dVr/DfjScfiP46GdgGe2ZuKTqEEQ/zs8O7kvgnKOZlZjfWHMiCSEBjqb4cfn47qVSohAfUt034uFvjjufg+s//WB/uTK3CzoBEcJh2b50SAQafhw6n9UFDXrhSvDQBhH1yg/v/NvP5/qX5dW36Hv4MZTqwdgtxaLhbvSEa7QIxYLxvsXBaj02+AIAjcr2zDgZRynMioBk8m72TSaRgT4oj5sR4Y6menVUpLEAQyKlpxI78BxQrBZ+rw8alsxHnbwNfeFEUNPHx9KZ/yVwHI+O7hAfaYGOaMnBoufrtTDqFECjoNmBfjjpfHBIDbJcKOW6U4mlaplDEih4dt33AYmjoEVE7Ic8N9lIqmeF87jA52xKWcOuqy768UYkakK4xZDKzYQ6onQl0t8NU87VbR/3YsGuQFZ0tjvLA/HTfyGzD3x9vYtax3ctQ4H1u8MymYMtzzf/tsjwLLOoVibDicCYIgO4yj+ziOflp/F3xxLg81bXyceVDTp9bn/xY8KSz+wxCIJXju13uoau2Ct50ptjwV2ScKkH23S/HeiYcgCNJk6Ku5/XsVlMQTiCnNuiI+nRGqNQDocaCypROfniZ3/a+OC4SvPWmrzGLQ8cviaAzfdE3j7HT6gL/mBJJR0YrpWxLVXrdqmA9eHx8EOp2Ge2Ukka5DIEastw12LY3RWvy1dYlwPKMK+5MrkKMg9fS2M8X8GHfMinLTm9w2bNNVVDR3Ub+7WRtjZqQbpkY4o7Ceh313SpFY2ERdf7dE/dx81TAfLIzzxLX8emw8k0NlmQz1t8Pbk4IR5ER2LhzMjbBxZhg2jA1Qyyv54MRDLB/s3esC473jD9HEEyLQ0RwvjlJNtX1zYhCu5dVTGSUdAjE+P5uLZp4Q+XUdcLTgYPviGJWY9f8iRoc44sCzA7FiTwqya7iYsSURu5bFapRr64OVQ32QWNiIq3kNAID5P9/BwVWGdaO+OJeH0qZOOFsaPZZEUg6TgSWDPPHlxXzsuFWCqREuj23DQRAEBGIp2rpEuF/ZhtTSvuGf9BYGf7tv3LiBTZs24d69e6ipqcGff/6J6dOnP4aX9gS9AUEQeOtoFu6VtcDCiIntS6J77V5HEAS+u1xI7SYXDfTEB1P79Wp2nV3NxcTvVJ0fr25IoNIk/ypIpQRe++M+eEIJYrysVZQfViZs/LkmHiO/vK5yX+vH7AxIEAT23i7D+ydUMy4AYPviaKWd172yZizZSUZvD/Sxwc6l6hczgiCQWtaC/cnlOPOghgpiYzPpmBjqhPmxHojzttF6YuTyRThzv0bpsormLphxmJgY5oRZkW6I8bKhduh+DuYY188RZ7NqqbhsTfjpRjF+Ty6ngsL8HMzw9qRgJATYq31NRQ3qZX67k0qx93YpxvVzwsqh3oj00C/UTBGn7lfj9IMacgQyN0Kt46ivvRkWxnlgz+0y6rKjaaRyxIhFx/bFMXDS0xL9v4AImRx1ya5kFDfwMHtbEn5aFKUza0Ybdi2Lpbwa7pY044crBVg7UrXIU4ekokbKh+V/s8Ifm8R34UBP/HC1EPcr25BS2oJYbxtIpQS6RBLwhGJ0CmQ/hRLwBN1+Kl6v5nY1bV1o7BDqfA1cNeF6fxUMLix4PB4iIiKwfPlyzJw583G8pifoA/xysxhH0irBoNOwZWEktfPuKaRSAh+efEidMF8a5Y91o/17XIkTBIF9d8rwnpowqLxPxmu1iX5c+C25HElFTTBi0bFpdoTagsnH3gy/rYzDQgVeBUCmgm48m4M3J/Stc6JQLMXa39NwIbtO7fVyAqkiUkubsWRnMnhCCQb52GLH0miVoqKZJ8TRtEocSKlAocKoItDRHPNj3TFjgKvWjBOxRIpbhY04klaFCw9rIRArz5K/nd8fY0OcVEZYbZ0iHMuowoEU5a6INsiLiueG+2LD2ACtXbfdScoJtyMC7bF8iDe23yzB9fwGnM2qxdmsWvR3t8LKod4Y389Jry5eQ7sA78pGIM+P8NOqSnppdACOpleppKZ+Nbc/wtwev5rpnwZ3GxMcXR2PZ/feQ3JpM5bsSsb/ZoVjZmTPiauFn06gzOg2X8hHhLuVVg8WgOweyZN6n4rz0OppIpZI0SmSqFngxeAJJMo/hRJ0CmQ/FS6XHxNzf7oNEzZDxS34cYP/Fz+fIgwuLCZMmIAJEybovuET/G24nFOHjWfJvIt3JwXrPOB0QSiWYsPhTJzIrAZAWt72RkvO5YuwYneKCl8BAOzM2H9LUVHe1ImNZ8jZ7evjg7RKcQdr2G39dL0YIc4WfTJT1caf8LYzxakXhqgdaySXNGPprmR0CiWI97XFjiUx1OIulRJIKmrC/pRyXHhYC5GEbNcbsxiYEuGM+bEeGOBupbVYzK3l4mgamXqqqNCQR0fLofgZEASB5JJmHEypwOkHNdQJV11XRNuY58frRcioaMHywd4YGeSgUhBUt3bh/EPlAux7WYbFUH975Ne1Y8fNEvyZUYWMClIG62pljGWDvTA3xl3j7pUgCLxz7AFaOkUIdrbAWi2ptgCZBLp2hB91DMrx/5XIB5Ddvr0rYvHqH/dl/KxMVLZ04YWRfj3anDAZdKS9OwaRH18EACzakYxDqwbB2oSlcaGXczMAslB8VsY9U9cZ6F4o9xaKRQWNBpiymTBhM2DKIX8y6DRUtXShiae7E6Ev/s64ksc+6BMIBBAIHp2AuFz9dilP0DPk1bbjxf3pIAiyKu+tmUynUIzVv6bhen4DmLIWcG8WzsyKVkxTs3DsWBKNFXsej7OeLkilBF79IxOdQglivW2wZJCX1tury72Q46UDGfC2M+2xj4emzwcgDZ7emRSskfR3t7gJy3anUETdXxZHw5jNQD2Xj8Myq+vy5k7q9mGulpgf646pES5aVSKNHQKcyKjGkbRKJTmltQkL0/q7YlakG0JdLSgjI8X7qbPYDnIyx/wYd8wY4EaN5zqFYvxyo0RJzWHOYYJOpylxWu4UN+NOMTlHfnGkH+bFelDR1r/dLYNEqkwCViSqBjia43+zw7FhXCB+vVOGX++Uoaq1C5+czsE3lwowL8YdS+O9VMyqTmRW4/zDOvL7PydCLz7RsAB7lcJi45lcjAlx/H/Br1AHDpOO/80KgzGLjkOplfjqYj5OZFbjrYlBEIqlOjsA6q5XxNyfbmt4ZlVc1NAB7A4GnQZThQKA+slmwoTDhCmbARM2E6acbj/ZDJhwmHjh9zRw+WIkBNpj0+wImHIY4AkkyKnhIqeGi+waLrKruShu5Kl8dw3FO5OCsTTeSylW4O/CY/+Gb9y4ER9++OHjfponANneXrk3BTyhBAN9bPDh1H69Ig21dgqxfHcK0spbYcSi48eno3rsPU8QBH6+Uaxysh0d7IhtT0eiWMNs/K/AvjtluFvSDBM2A5tna2frEwShRDSN97WlHDflmPpDIpLfGgUHPRnwBEHg17vlVKu9O358OgrjQ520Psad4iYs25WCLpGEUuncLm7E/uQKXMmtp05a5hwmpg9wxbwYd63tfIFYgss59TiaVolreQ0UGZHFoGFUkCNmRroiIdBB4yK7+td7uJhdR93PhM3A1AgXzI/1QISbJfW9lEoJHE2vwubzeajlkl4hkR5WeGdyCBUqV9TQgVFqeC3fXSnEd1cKMdDHBosGemGfAq8BAI6sVk/qszfn4OUxAVid4Itj6VXYfqsEhfUd2HGrBLsSSzAh1BkrZDyMei6fGte9OMpfL0fVFp4Qq39VNg5jM+mo5fLx47UirP8XyEylUnJ0IF/A1c//1Sz+3YqC7qOE7mtnYX0Hlu/u2w2Fq5Wx0kIvlhBK5OCXRvkrXW/KZmooHBhgM+g9PodKpAReHReId48/xLW8BjyzNxXVrV2o1+HFYig+nh6KedHuvSLQ9zUee2Hx5ptvYv369dTvXC4X7u6qSYhP0DsIxVI89+s9VDR3wcPGBNsWRvXKlKa2jY/FO+8iv64DlsYs7FwaQyVRGorWTiEWbr+rtNsFgB+fjsT40N673fUGpY08fC4rdt6YEKRTNfC5QqT6j09HIt7PDiM3X1MhU8V+dlknV0QxBVYdrrwyHD56cGOSihqxYncqukQS+DmYIcTFAqO/uq5k6hXtaY35sR6YFOasUbpLEATSK1pxNK0SJzNrlDoFEe5WmBXpiinhLmo1/zVtXUq/y99ThLsVFsS4Y3KEi4rM9XZREz49k42sKvJ74WZtjDcmBGFSmHLstK+9GfI/mYBX/8jE8YxqledW7GIoIspTu6OlEYuB+bEemBvtjhsFDdhxqwQ3Cxpx+kENTj+owQAPK6TL3FdDXS2wOkG32ZFQLMXq3+6htKkTrlbGYDJoKGvqhBGTDqFYip9uFGNOtHufWniLJVK9dve6CgGegtfE7eImhL5/vs9eY3cYsxjoEil3HAIczeBjZwZTjurOX+mnmg7B238+wCkZgdiUw8CFl4dTj7v+UAZQQo4Qz7w49LFI13kCMXJruciuaUd2NdmJyKvlUmRogFRz9RWsTVh4foQfnh7oCSPWXz861oXHXlhwOBxwOD33X38C3SAIAu8dz0JySTPMOUzsWBLdK8OXkkYent5+F1WtXXC04GDfirgeJxbeK2vGrG2qLcrbb47stZlWbyEfgXSJSJLj0zqkrXyRBD9df+QmKS+Kjq4ejGGbrqrcPvCdc2p19g3tAgzaeJnazSvCzdoYZ18aqreBVVJhIxbvTKYeq7C+gyJjWpuwMDPSDfNj3OGv5e9X1dqFP9MqcTStSmlk4WRhhBmRrpgV6Qo/B9X7iyRSXMmtx4HkclzPb1C6bmm8F+bFuCNYjZFVcUMHNp7NpdrR5hwmnh/ph6XxXhpPkmwmHV/P7Q9nS2Od7p1yXM6pQ0Kgg07VEp1OQ0KgAxICHZBby8WOmyU4nlFNFRUA0M/ZEnyRRGuxThAE3j2WhTvFzTDjMLFzaQw6BGLM2paEdoEYViYstHaK8Nof97FpTrhORQBPW0GgUBgI+5gPoPTZyPkAnEe7eJUFX80IQOk+sk6A/DpjFoP6m9yvbMXy3alo7BCgnS/GujH+lITYEPzwVCSu551Hu0CM/LoOfHYmB29NDMbF7DocTasCnQZsnhPe66KCIAjUcvnkGENWQOTUtKO0iYe/Iifc3IiJVcN8sGywd698gx43ehWbTqPRDJabPolN73vsvFWCj05lg04DdiyNwYheROVmVbVhyc5kNPGE8LYzxd7lsT3aXUmlBL6/UqhkdAQA0/u7YPOcCBXinT6x6X2NHbdK8PGpbJiyGTi3bpjO9zn26+vIryMX7e5qjOSSZrUzXjszDlLfGQ1AO3+iJ9Ld3+6W4e0/Vccn8b62mB/rgXH9HDV2THgCMc5m1eJoWiVuFzdRJ0VjFgMTQp0wM9INg3xt1b6esiYeDqRot9hWFxnf2inEt5cLsO92GcRSAgw6DU/FemDdaH/YGhD+RNqWkz4qo4MdEeBohq1qUkblWDfaH/Ni3A0qZB9UtmHKD7dULg90NMecaDdYmbBVFvqdicqKlHA3S/AEYo0S2L4Gk05TWsB1zf/VXS/fBAQ5mePPNYNhxOr5KEBfVDR3YumuZBQ18GDOYWLb01EY4m+4HFUiJeD71iOez8aZYfjyQj4aOwRYNdzHYMWWSCJFYX1HtyKCS3mpdAeNBoOKiyF+dnhY3abx8RRhwmZg+WBvPDPUR6dtgFyKu2l2OOZE9+10QN/12+CSp6OjA4WFhdTvJSUlyMjIgI2NDTw8VG2Pn+Dx4lpePT6RGTq9NTG4V0XF7aImPLOXtN/t52KBPctje5T219ghwOxtSSht6lS6fNey3hU9fYnihg58IRtrvDUpWGdRUdbEo4oKfwczFYlnrLcNNs+JwIbDmUqXN3YIqANdHX54agAmh7vo/br5IgnOP6zFSwcylC63NGbhqTgPzIt216hokUoJ3C5uwpG0SpzLqlViqg/yscWsKDeMD3VS68wpf94DyRW4XfyIU2JnxsasKDfMi3ZX6+8BkOOBvbdL8d3lAkpbPzLIAW9NDFLbCdGFJfFecDDn4KWDGbiUU6fkdKkO31wqwDeXCgAAwc4WiPa0Bl8k0agI4KkhBsqRV9eupC7QhvuVbVqvtzRmwdxI/e5e3bxffr0Zh6l2PNCXM3ZbM/Zf5nZLylEH45l9qZSq6fNZ4ZhtYI4Kg07D/Q/GIlzmhvvmUTKTxV+W56INbV0ilQKioK6DStrt/jx+9mawNmWhniugunz6FhVPxXng97vluFWoPl7enMOkwvXYTDoWD/TE6gRfg4rvvxsGFxapqakYMeJReqOcP7FkyRLs3r27z17YE+hGYX0HXvg9HVICmBvthhVDeh4Lff5hLV7Ynw6hWIqBPjb4ZXF0j8K0bhc1YcEvd1Qu74vQoL6CRErg1T/uQyCWYoifHZ6K1V0QD990jfr/yReGqL3N7Cg3FNZ36NWqv/jyMK3jie7Ir2vHflkAWGu3Hc73CwZgfKiTxjZ9UUMHjtyrxLH0KlQr8C687UwxK9IV0we4ws1afWGl7nlpNGCYvz0WxLpjVLCjxuclCALnH9bi87O5VJEpD+0a4GGFTqEYmRWtmg2DtBgF8YTiHo0A5Gx8Q2DCZsCYxdBbCvj5zLBuPAEmvr1cgEs5dWAz6aDTAL5IilfHBfZZbs+/HZYmLOxbEYtXD9/HicxqbDiciaqWLrw4yjA5qoURC+fXDcO4b25Ql300LZQasREEgcqWLjxUKCCyq7moau1S+3jmHCaCnS0Q4mIBS2MW6rh8XMyuU2sbrwhjFgNrR/phXD9HmHFY2JlYgp9loXy/3y1Xui2bQcezw3xwv6oNN/Ib0C4Qg0mnYX6sO9aO8P9XGqoZXFgkJCT0Ogr3CXqP1k4hVu5JQbtAjBgva3w8PbTHLctDKRV44+h9SAlgbIgjvlswwGBCkERKYNP5PJVFdWGcBz6aFtqnyZK9xc5bJbhX1gIzDhP/mx2u83M7l/XIVXLVMB+tn83ywV5aC4vM98fC0li/gq1TKMap+zU4kFyONDUR7qGuFji6erDanWprpxAnM6vxR1oVMhVIYxZGTEyJcMHMSDdEeqj3rOgUinEqswa7k0qR3W0Rjva0xqRwZ1iZsNDYIcSuxBJ0CEgegCLC3j+vNtK8sL4Dz/+u3W2zt3CyMKJ2+CKJFLm12heBudFkp8bciORAyFNaXxzlj3Wj/FVUQg+r27DjVglOZlZTXiByZL43Vm2r+su5EUjYdBUtshTgwvoOfHkhD1PCXXrtiPtfAYfJwDfz+sPN2hhbrxXh60v5qGjpxMaZYQYR0W268csW/HIHiwZ6Iq+2HTk1XLXfS4BUk4S4WCDE2QLBzhawMGYir7YdW64WIVmHVba5ERMvjPTDmBAneNmaoF0gxrkHtZixJUnj8706LhCx3jbYk1SKH66SUwA6DZgZ6YaXRvn3KcH3r8Y/l/3xBBohkkix5rc0inn+49NRPTaV+vF6EaWKmBftjk9nhBqcJ1LP5WPS97dU5u2/PxPXZ/HsfYXC+g5sukDGx78zKZjyQNAEgiDw3K+PFsI3JgSpvZ02/oQimjoEOguLrKo27E8mA8DkJyUGnQYmnUYZ94wNccQPT0WCzaRDKiXAF0vQ1iXC6fs12HenDGXdxlAA6Vsx0McGYimBQykV2JVYotQBkKsztCG1rAWpZarGZt2h6WQqB5tBV2rvaycCqr+eSaep/cw3zQlXMYUjCAJp5S3YnVSGk5nKypJDqZU4lFqJ9WMCcFqmLBjgYYWX1BQVANDPxRJfze2PdaMCVEi7Q764gqfiPLA03kuJ02FpzMK60QF4/8RDNLQL4GxphJo2Pr65nK8SE///GXQ6Da+ND4KrtTHePZaFP+5Voo7Lx9aFkTq9VuTdh+6SdoCUlMvBZtDh72iGEFknItjZAsFOFuDyRTj/sBY/XC1U6Qp2h60pG8+P8MPoYEe42xiDRqNBIJbgam4D1h/KUCL+qsO+FbE4kVGNLy/kURLcyeHOWDc6AH4OvXNJ/ifgSWHxL8RHJ7ORVNQEUzYDO5ZG92j2RhAENp7Npdpzzw33xevjAw3uetzIb8DinclKl7GZdNx5c5TKzuHvhlgixSuHMyEUSzEswB7zYnQTmxSzOXYti1H6fKRSAvtTytUSKDVh5JfXkfjGSDBoNKUWfx2Xj/3J5WplkwDZEVI00HlYzcXg/12hxgb64EFVGx5UaZ/7q4MRi66ZByC7nCCA37q1eM2NmPhgSj/4OZgpjQWM2Yw+4QMcuVep9vJlu1LwxWxly2gajYYoTxtEedrgk+mhOJFRhY9OZSt1HL66+IhoPC3CBdqOBIIgqAKVzaRj0UBPXMmtR0kjDz9dL8aOmyWYFO6MlUN8KBvvp+I8sOd2KYobePCwMUFNGx97b5fhqVgPg8Zi/x+wMM4TLpbGeP73NNwsaMQcWTqqg7kRSpt4yK5WNpjSxxuCzaDjxAuD4WtvBiadhvLmTpzLqsVKPWLdHS04eH6EH0YGOSiNDeW8pQPJFZQzcXdEeljhpdEBGOxrixlbk/Cgqg2Ldjw6Z44OdsD6MYF6eaT8W/CfKSxyari4W9wEdxsT+Nibwc3auFc+Dv9U7Ltdin13ykCjAd/MH9AjaZZYIsUbRx/gD9mJ+e2JwXhmmI/Bj/HJ6Rwq0EcOxXTNfxp+uVmCzIpWmBsx8b9ZYTqLqLYuEfYqmC5Zm7CRVNiIJp4QL+xP13g/T1sTeNiYILGwUcUQCAAGf36lx+9BDk0zYUWEOFuoKALMOOTCnl3NVZGIAoCvvSlWDPHByCAH6j7axlgSKYHDqRXYfEFZ/XNi7eAeu4/qA4IgVL57o4MdYMJm4oTMMrqWy8fq4b4qf2dLYxYWDfLC0wM9kVnZht2JJTjWzR/jg5PZ+OBkNjaMDcDcGHcVftC3lwtwMrMaTDoNe5bFYpCvLd6eGIwrufXYfqsYd4qbcTyjGsczqhHrbYOVQ7wxKtgRb00Ixsq9qcira0ewswVyarj46FQ29i6Pfezqi38bYr1t8Pr4ILx/4iFya9sxaKPm44ZGA4yYj7wxIj2ssHVhFBzMOfCRKUWEsk5vZUuXTn6Om7Ux1iSQhUR3jgNBEMiu4eJYehV+uVmi9v7mHCbenhSMieHOsDBioalDgP+dy1Uq7MNcLfHRtH4Y4NEzf6B/Mv4zhcWEb5UTMpl0GjxsTOBtZwofe1N425lR/3cw5/wrD+LEwkZ8cJJUgLw2LghjFNIs9QVfJMHa39NxKacODDoNn88MM1iSVN3ahdFfXVfZKR9ZHd9jE63eQB4drEj66673z6xopQLU6DQavrtcoDNMqPv8XFOGRXeUNXWqHUXoiyF+dnCzNoYJm4mkokYljsDoYEe1KohRQQ5YONADw/ztNY6ymjoEOCILHlN0OtU3eKw7bhY04NPTOWo5DI+zqACAtPJWle7L9wsiwWHS4WRphJ9vFOOLc3mobePj/SnqZbw0Gg393a3w1dz+KGnkIVONimPzhXxsvpCPWC8bvDDKD4N97XD6QQ2lMvlkeigG+doCINv4o0McMTrEEVlVj3gYySXNSC5phpetCZYN9kZ/dytkVLSCzaSDzaDjZkEjLufUK6XT/n8CQRCo4wqQXdOGHAWDKW3eEP3dragxRoizBQKdzPH8b2T0QISbJQ6uGoTy5k58d0W5i6bJ4dfbzhSrE3yREGCv0TG3orkTJzKr8c2lfJVzgxwvjvLH7Eg3ymivrUuELy/kYeetEhWl0fhQp/9kUQH8hwqL7hBLCRQ38lDcyMPlbiM3UzYD3orFhqzg8LIzfWwxur1FSSMPa35Lg0RKYOYAVzw33LAOA0CGf63cQ0q62Ew6tjwVaXBxcim7Div3Klvw2pmxcfmVBL1JidrQ2CHE7sSSXlsFa0Nblwj7kyt6/VrlmBftDgtjpgbPACZ+vlmMG2q6AwA5Zpgc7oL5Me6I8lSO8j7/sBZ7b5dSvxuzGEpFRbSnNWZFuWFimLPGz14qJXCrsBEHUspxMbuOOiGasBmYEu6C+bHu6K8jeKw7Cura8dmZHFzNI9+TpTELL47yx8ensvV+jN5iT7duBY0GSh751sRgOFkY4ePT2dh7uwx1XD6+na+ZkPxbcjkyK9tgxKLj3EvD0CEQY2diCRV3DgDJpc1K7WsAeGaoN+ZrUBSFulri63n98fr4IOy5XYrf7pShtKlTabSWWdGKgT42uFPcjE9OZ2NogN3fEsAnR6fw0ThA0XW1LyGSSFHU0N0boh3NGhQ3DuYchLhYwNXKmBq10WjkWGmuwoZov4JJW2ZlG/x15GXYm3Pw5oQgDAuw1yqpb+YJcfpBDfbdLqXk5t0xM9IVC2I9EK1w/PIEYuxOKsVP14soiXWYqyVeGRuAZp4Q6w9lYk9SKZ4Z6vOPsuLuK/TKIKsneFwGWdq8AgyBnRmHKjS87UypLoe7jcnfdtC3dYkwY2siiht4GOBhhf3PDDRYtdHQLsCSncnIruHCnMPE9iXRiPOx1fv+QrEU7xx7gEOpynPtl0cHGCwJ647ypk5M+v6mSsx0T2DMYlCLupwLcE+BbDgmxBE+9qYauQLy3IDRX6n3ZJBj02xSZ6/rfTe0C3D4XgW+OJen9vo5UW7YNCdC5fKfbxThszOqJDQ3a2PMjHTDrEhXFS8NRdS0deFwKhkApjg2iXC3wvwYd0xRY7GtC40dAnxzKR/7kysgkRJg0mlYPMgLL47yg5UJW+kYVGeQ1Veo4/Ix+PMrSs6lJ9cOUYkkP3W/GusPZkIokSLa0xrbl0SrdGTKmzox/tsb6BRK8MGUECwd/EiyzROIcep+NT44ka1iPw2Q7fb1YwIR72urc/THE4hxJK0SO26VaOxmvTkhCKuG67YN70tUtnTiSm49frtTriKh/GJ2OGZHuvV4rNnWJUKuAg8ip5aL/FrN3hC+9qZUB0LejVBc9AViCV774z5l6z4xzAnu1ib46UaxyuN1R4izBQIczZRGXoWfTlDb3esSSnAhuxZH0qo0bgiiPK2xNN4LY0Iclc7FfJEEv94pw7ZrRZQ8OcDRDOvHBGJcP0fQaDQIxVIM/eIK6rgCfDU3olfx8erwrzTI+qfCwZyD+nYBJoU54/SDGt130IDGDgEaOwQq8iI6jTRyoYoNO1P42JMdDycLo8fGKRBLpFj7exqKG3hwsTTCT4uiDC4qKpo7sWjHXZQ2dcLOjI09y2PRz0VzAJW6+w/9QtWy+tQLQ7QGWekCXyTBtmtF2Ha9SOfMc1iAPcYEO8DGlKOXVbAcubVcTPn+FkQSQq+DuEsoQb/3z2m8Xp/3LJESuFnQgAPJFbiUU6fWuluOw/cqMVBmTsXli3Dmfg3ekBn7yCGPNZ8V6YYYLxuN3zWRRIqrufU4kFKBa3n1VBfHwoiJGQNcMT/WQ63Fti7wRRLsSizF1quFlNpjbIgj3pgQpFeWSV/jt7vlKp9p96ICACaHu8DOjINn9qYitawFs3+8jd3LYijynWKqbZy3DRZ3S7U15TAxL8YD82I81FrTp5W34ukddwGQ0sF5Me4ad7+mHCYWD/LCwjhPXM6pwyenc5SSZgFg49lcTB/gCkc9w+t6AomUQEZFC07dr8GuxFKtt33tj/t47Y/7OP3iEK3nC7k3RHY3g6nKFvU8IDMOUybpNJfJOy3h72im9bwmlRIobuDB1vTR53vmgfqMHQCIcLPEquG+GOxrpyTndbM2oaSdQe+eQ+FnEwGQ59lbhY04nlGNP9Or1D6mtQkLaxL8MK2/i8q4RCiW4lBqBX64UkiF6XnamuDl0QGYEuGidF5iM+lYEu+FL87lYfvNEswY4PqvHM1rw3+mYxH76SXUtwtw5sWhcLDg4MsLeTiQUkHN6GxM2Rrbbb2FEYsOL1tT+MoKDW87U3jbm8LXzqzXGvUPTz7ErsRSGLMYOPzcIIMX8txaLhbvSEZ9uwDuNsbYtzxOozOjOpy+X6PiO+Bla4JTLw41eMeriEvZdfjw1ENUNJMnH3tzDiVXlWcqdIcRi44hfnYYFeyIkUEOOk/AIokUM7YmIquKi9HBjvhlcZTGA7iOy8eYr65TbUtFWJuwcGn9cJ3qm5q2LhxKqcShVOUuwQAPKyyI8UCstw0SNl9Te18PGxPUcfmUnFSOr+ZGYEKo5uAwgHQFPZhSgcPdLLbjvG0wP9YdE0KdexRURBAETt2vwednc6n3E+pqgXcmhWCgmm7XX9GxEIglGPz5VTR2PHqfr4wJwAuj/DXeJ6+2HUt3JaOmjQ8Hcw52L4tFiIsFdieW4IOT2TBhM3DupWEaA+gkUgKr9t3DpZw6mHGYeHaYD36+UaxWSRDlaY1XxgRgoI/uLsayXcnUOEkRn0wPxaxItz5zvuTyRbie14AtVwt1enpowrh+jvhidgQ4TDoK6zuoAkJeRGjqNrpaGVMGUyGyboSbtbHOz0YqJZBTy8XBlAolArU2vD0xGPNj3XUa+0394RbliupkYYTxoU4qRGBFLB/sjVlRrghxtlA5f0ikBP5Mr8K3l/Opc5mLpRFeHOWPWVFuGgUErZ1CDNp4BV0iSZ/L8v8JHYv/ZGEhl+1kVbXho1PZSJZF5rpYGuGNicGYEu6MDoEYv90tpzwcDIEJm4EINyvUcfkob+7UuiO1MWU/KjbsTOEr43Z42proPNnvTy6nbGl7kgSaWtqM5btTwOWLEeRkjr3LY/WO8uaLJHjlcCal65fjnUnBWDHEu8cVdnlTJz48+RCXc+sBAM6WRnhnUgh8HUwx/pubsDNj4+LLw7HpQh72J5drtckNc7XEyCAHjA52RD8XC5WT1XeXC/DVxXxYmbBw4eVhap0/MypaNZIyHcw5SHxjpFZ1kVgexNWtS2BpzMKMAeTsNdDpkZQwq6oNk79XzaDojsF+tti7PE6jIoMvkuBCdh0OJJcrxbYrWmz3pptwr6wFn5zOpvT4ThZGeHVcIGYMcNW4KPwVhcWf6ZV4+aCybbq6oLfuqGnrwtKdKcira4cZh4k3Jwbh41PZ4Iuk+Hh6KBZpccDceCYHP90oBptJx4FnB1Jx7vl17diVWKKRr/Pa+EDMi3bXWJDyBGIkbL6mNm/FyoSFp+M8sXiQp97HrCJKG3nYn1KuFJqnC952pihpVE9u1AUWgwZ/B3Mlg6kQZwu9N1YSKYGcGi5+u1uO/cnlOm8/0McGHCZDSdmU9MZIuOjwpQFIJ9pRGuzn5ZgY5oRZkW4YFmCv9viXSgmcyarB1xfzqSwYOzMO1o7wxYI4D73G5u8dz8Le22UYFeSAHUtjdN5eXzwpLB5zYQGQu66zWbX49HQOteuK9rTGe1NCVJjrrZ1C7EosxbeXCwx+/snhzghyMkd1Gx8lDTwUN3agjqtZW02jAS6WxvCxJ8cqZJfDDD52pnCxMkZKaTOe3n4XYimhc0emDldy67DmtzTwReR8eceSGL0P8uKGDrW5D+fXDVNaJA1B97EHi0HDiiE+eGGkH0w5TLUhZA8q2/DeiSxqcWPQaYj2tIZALEVmZatS0eFgzsGoYAeMDHLEED87FDd2YNoPiRBLCXw7vz+m9XelbiuVEjiYWkEVbZqgbXEsb+rEgZRy/HGvUklDH+dtgwWxHhgf6qRSODZ2CHAioxof6SA5zop0wxezw9UWFfl17TiQXIGj6ZUqFtvzY0iL7d6QwSqaO/G/c7lUBLUJm4HnhvvimaE+OnfQf0VhMW1LopKTaLCzBc6+NFSv+7Z1ifDs3lTcLXk05hzsZ4t9y+M0FkuHUirw2pH7AKDyPZKDL5LgXFYt3j2epXbnHulhhQ3jAjHIx1alADqYUo7XjzyAhRETQU4WKiNYFoOGqRGuWDHEW6vPgUgiRWJhIz4/m9ujrsT2xdHgi0nFmD6wMWVj5gBXigvha29m0PdOIiWQVdWGfXfKKNm7Ngz1t8OKId6I87aFMZsBiZTA/J9vI6X0EX/K0YKDnUtj1I5t6rl8nMisxrGMKo1GcOFulpgb7a7VDZUgCFzJrcfmC/mUNbyVCQvPDffFkkFeBnWZShp5GPnlNRAEcPmV4fDto7Hik8LiLygs5OCLJPjlRjG2XitCl0gCGg2YHemGV8cHas2waGgX4OcbRRr1yppgY8rG2xOD4W1viqqWLpQ08lDc0CH7ydPpTKiIL2aFU2RSG1O2zt3Zn+mV2HD4PiRSAiMC7bF1YZTeX/ijaZVYf0h5RxjmaomDqwbChN2z0Uf3sccQPzt8MLWfksOcpnRTqZTAkbRK/O9cLho7yFHWhFAnPDfcF3l17biSU4+bBQ1KUi46DVTnIMLNEseeHwwajYZOoRjvHMtSYvtrQvJbo1R2igKxBBce1uFASjkSCx91CWxN2Zgd5YZ5MapdAoFYgss59TiaVolreQ1au1tyFH02Uamo0GTt7WxphLnR7pgT7aYx60NfcPkibLlaiF23SiGUSEGjAXOj3PHK2AC9d8yPu7BIL2/BjK1JSpcZmkEjEEsQ+M4jDs3iQZ74cGo/tcfUneImqrh/cZQ/1o/RHmQFkLvhnbdKVMzC5HhtfCDmx3hQ5nESKYFJ391Ebm07JoY54VpeAzqFEozv54TGDoGSy+lgP1usHOKD4QH2oNNpaOEJ8dONYp3ZNC6WRjBiMzRKLY1ZDLXkVIAce7rbmOBmgWpgVpSnNXYti9FLSSeWSPGgqg17kkpVPEPUYWSQA1YM8UaUp7Xazu72m8X45HQOTNkM7Fwag3eOZaGgvgOmbAa2Ph2F4QH2aOeLcC6rFsczqjUGfilC3TEvB0EQSCpqwuYLedRGx4zDxMqh3lg+xLvHasJn9qbiYnYdFsZ54NMZYT16jO54Ulj8hYWFHLVtfPzvXC5F0DFlM7B2pD+WD/HSW/VR09aF768UqoTJ6IKbtTE+mR6KwX52aOsSobiBh5LGDhQ38lDSwENJIw8F9eolTXJYGDHhI+tsyLkc8jGLCZtJRagDwIwBrvhidrheRmFdQgme/z0NV2QjCjk+nRGKhXE9C0pSN/Z4d3IIJoQ6qZzIdcWmt3WJ8M2lfOy9XQaJlIARi461I/ywcqgPaDTgbnEzruTW41JOnQppTBu/xozDxNUNCWhoF2Did6QXyiAfW+x/diB1m8L6DhxILsfR9CrqcWg0YKi/PRao6RIQBIH0ilYcTavEycwaJelehLsVZkW6Ykq4C949nkV1BhRhacxCxntj8KCqDQdSKnAio5qa5zPpNIwKdsD8GA8MC7DvdQaLWCLF/uRyfH2pgHpvg/1s8fbEEIOdAB93YbHuQLrKomTo8xQ1dGDCNzeVlAlL473w7uQQpc+ytJGH6VsT0dopwqRwZ3w/f4BBBG15Efru8Sy1fKH+7lZ4Y0IQ4rxtkFjYhKd33CUtyvu74khaJRwtOLjySgLy69qx41YJzmbVKjmv6sL0/i6I9LTGxew6tUVBdxix6Ah0sqC6QUYsOlLfGaPEo9IUJf/+lBAsjfdSOqZFEinuV7ZiZ2KpyjhVHcaGOGL5EG8M8LDSeR4urG/HxO9uQSiWYuPMMCyI9UBblwjP7bunlLyrDbOj3DAr0g1SgsDC7Xepy/M+Ga/y/PfKmrHpfB7limvEomNpvDdWDfOBdS/dhe8WN2Hez3dgxKIj6Y2+cSt+Ulj8DYWFHGnlLfjwZDZ1IHnYmODtScEYG+LYI/5ARXMnvr6Yj6MaGMWaEOBoho+mhSLGywYAsGx3CiVxem64L3gCMUoayaJDH7dFRexYEg1fmQuptvyP/Lp2jP36hsrlV14Z3qM5vbqxx8qhPlg7ghx7qIOuwkKO3Fou3jv+kOLNeNqa4P0pIRgZRPpx6MthYNBpuPfOaEp+qLgoFn46ASIJgTMPanAgpVyp3epkYYS50W6YE+2uEhJU1dqFP9MqcTStiopSlt9nRqQrZkW6KsWEH0guV1GAaIKXrQnmxXhgVpRrn6TEEgSBa3kN+PRMDgplxayvvSnenhSMEYEOPToGHmdhUd9OSkwVjYl+WhSFcf2c9H4MiZTA7B+TkF7eiqH+dhjmb49Pz5AR6BPDnPDV3P4wYjHQ1iXCzK2JKGrgIcLdCgefNVzerYjSRh52JZZQBm3d8dr4QFx4WIeMilYMD7BHUUMHKlu68MJIP6wa7ostVwux7ZruxNwgJ3M4WxqhSyTRaA0vx/AAeyWDKW87UzDoNOpvONjPFr+tHKj2vvJuQXd8MCUESUVNuJCtPcYeACaFOWPZYC9EuFsZ5JAslkgxa1sSMivbMDzAHruXxYAgSJ+Rw6mVOJKmeawy1N8OMyNdMa6fk1L39afrRUr5InLOTlZVGzZfyMM1GcGWzaDjqTgPrBnh22dJzQRBYOoPiXhQ1YYNYwOwdqRhI291eFJY/I2FBUC22Y9lVOHzs7nUnDze1xbvTQnpkVV2dxTWd+CLc7l6HWjd8fG0flgY56m0S+oSSlDaxKMKDXnHo6C+Q6sHBItBI63O7cyU/TnsTHExp04l62KQjy12LYvp0clU3djjw2n9dM4P9S0sAPJgPJFZjc/O5FA8llFBDnhjQhDW/Jams+sjB5tBx0BfWzS2C6gUzxkDXGFuxMSf6VXUZ8qg0zAi0AELYt0xPEDZ2ZInEONsVi2O3KvEnZImivdhzGJgQqgTZka6YZCvrUpn4Y97lXj1j0yt5FQAmNbfBfNi3DHQW7fKQF/k1HDx6ekcqj1sY8rGutH+WBDr0Ssb/MdZWHxzKZ9yu+zpc8gXEHMOE+dfHgYXK2OcyKzGK4cyIJIQiPW2wbaFkVh3MAM3CxrhbGmE488P7hF5Uh2EYiku59Th7WNZWhVqcqvvvsazw3zwzFAf2JtrVjfpU1gAQIdAjND3z+v93NP7u2BJvBfCXC0NDjlUxJarhdh0Pg/mRkx8t2AA7hQ34WRGNarb+Brvs35MAOZEuymFwnXHoh13qc6OjSkbcd42OJtFylkZdBrmRrth7Uh/naGFPcHxjCq8dCAD9uYc3Hp9RK/9kv4JhcV/xseiJ6DTaZgZ6YZx/Zyw7VoRfr5ZjKSiJkz89iaeivPA+jGBvWpN+TmY4efF0UqXkel7OTrbk+8ef4h3jz9y6RvsZ4t3JoUgyMlcyYtAIJbg5YMZlKY70sMKA31sqeKjpJEHgViK4gayEIHqRkMJCYH2eGVMIEQSqUGFRVkTDx+ezKZGKdrGHr0FjUa2jEcFO+L7KwXYeasEl3PrqZGLOvzx3CCEu1khpbQZl3PqcTm3DmVNnSoGOIoadncbY8yLdsecaHclaas8eOhIWiXOZdUqWZsPknlSjA910ijHPZRagdeP3NdZVABkYdFXUrR6Lh9fXsjHoXukDJvNoGPZYC+sGeHXJ66pjwtCsVSFszBzgCqJUhsK6trxpSxk7N0pIZR6YGqEC+zM2Fi19x6SS5oR9cklACRpdfuS6D4rKgDSv2BCmDMmhDmjorkTOxNL1HpJ9GVRwaDT8Mb4ICyJ9+oVqVcgliClpAU/3SjSa7QCkHkx/Vwsez2ukyOnhotN50mjuXa+GMt2pai9nYURE0KJFHwROe66U9yEJfFeWh977/JYeL9JZoo084Q4m1ULGo0Mo1s3OsAgib6hmBjmjI1nclHL5eNkZg1mR/WtYdbfgf/XhYUcphwmNsgMbjaezcGZB7X49Q4ZW71udAAWDfLss0CzEBcL7FsRR/1OEAR23CpR21pURGJhk0oeSryvLUobeahu44PFoOGbeQMwKVxZkiqVEqhu61Lqcpx+UKNW4gYA1/IaqNafgzlHIWuFlMn62JvC3dqEOknxRRJsvVaEHw0Ye/QVzGSmQ5okdRwmHTdeG6FUFAz2s8NgPzu8OzkYR9KqsOFwptr7AkC0pw287cxgIiO+FjV04Mi9ShxLr1LaIXnbmWJWpCumD3DVSaJUlBDrg+W7U3Fp/TClEYqh6BJKsP1mMbZdL6KKoEnhznhjfJDKOOefiLNZqt/XjbP0J7qJJVJskKXajgi0x5xuJ+54Xzscem6Q0vG1erivQSZyhkAoJm2t7+oYV2iC3Bsi2NkcFc2dWsmQ1zYk9OhvLBBJcS2vHj9eL9I5VgFIr5eWblySqT8k9kl+UAtPiOMZVVROkiaMDXHErCg3jAh0AJtJx/X8Bqz59R6Sipow58ck7FoWq7bjUN3ahe+vqCoB354YjJVDDY9OMBQsBh1LB3vh87O52H6zGLMi//2GWU8KCwW425hg68Io3Cluwocns6nkwd/uluHdySFICHTo8+esbOmi5qcTQp2w5alI0GjAneJmfHjyoVbpmKJ/gUhC4Pnf03Ax2wUbxgVSCxydToObtQncrE0wxM8OOxNL1RYV68cEoLKlkypAGjuEqG8XoL5doCTPA8hdkJu1sYo1sZ+DGX58OkpJ7fG4cK+sBbO2JWm9Tay3Ddr5YjgqdOzaOkX4M50M4ur+2Ya6WsDKmI37la3g8sX4M71KowufhRETUyJcMDPSDZEeurM2atq6MHvbbRWeTISbJebHemBKhAsOplSozdsY/dUNZL431mCzNfmob9P5PNTICqH+7lZ4d3IwojxtDHqsvxPdzYuMWHSD2sU/3ShGZmUbLIyY2DgzXO3fqo6r3Er/+UYxorys+6RbRBAEShp5OHyvUi+uhCYMC7DHJ9NC4W5jjMs59fj6Uj4eVmvvbkzfkohFgzzx9EBPrZkYfJEEiQrKidSyFizV0BEASDXNwjhPBDiaUZ+nWCLFa0fuK6mu5Mdo5vtjDeqKdQkluJRTh+MZVVrVVOFulpgV6YYpES4q3eXhAfY49NwgLNuVgvy6DszYkoidS2Mok8H6dj62Xi3C73fLKTJvqKsFJUf95HQOxvVz+kuK7wUxHvjucgFya9uRVNSEwX59Z5j1d+D/NcdCGyRSAgdTKvDlhTzK831kkAPenhTcZ3pjnkCMWduSkFvbjn4uFjj83CCNkk6plMD1/Aa8dyKL4i/oi6fiPLB8sDfWHUxX0XBvWxiJCWGqxlttXSJZkdEh8+WQczp4GqVpAMktkKtVfKisFdKRVNuJRR+OhURK4JAO/4mkN0biQHI5frxRDKFYCiadhuVDvDHIxxYnMqtx5kGNirslANx7ZzRlZMQXSbD5fB6239IsMV4a74WJYc6I9LDSODOWm2cdTKlQGdMsHuSJ+TEeKp4rGw7f10hA05RtoA53i5vwyekcKgHU1coYr08IwpRw58e2G3ocHIvMilZM62ZgdvaloXpbk+tj6Z5f145ZW5PQLhBjXD9HtPBESC5tBptBx5dzIzAlwsXg193CE+K3u2UqcfLa4GtvikG+tvj1jmFqMzksjJh4dVwgpkS44HBqJXYlllCdNTaTjpkDSD8Mf0dzdAkluFHQgK1XC9WmunbH8sHeeCrOA772pjq/P40dAkTLRkqKWBDrjs9mhGm8v1giRVJRE45lVOF8Vq1KGqgcThZGmD6AJEP7O+ru5FW1dmHZrmTk15Fy1M9mhiGnph17kkqpc9lAHxtsGBuIaC8bpJW3YKaCrDn7o3E9ltobgg9OPMTupFKMCLTHrmWxPX6cfwLH4klhoQNcvgjfXy7ArsRSiGXBS0vjvfDCKP9ezaWlUgKrfr2Hi9l1sDPj4MTawXq5xhXWt2PRDtKe2NGCg0UDPbE7qZTyeDAEujIAuqNLKMHWa4X4/kqh0uUDfWxQxxWgvLlTqyTOVuZC2j3G3sPGBGVNnRoLi3a+CB+fylYJQOsORZVAWRMP6w5mUJpzRQQ5maOfiyW1gI8KcsD2JdF4WM3FH/cqcSKzWolcZ8pmwMqEDVMO6QWguHuyMmEhIcAeI4MdMTzAHpbGLJQ18XAotQKHU5XNswCyZZz0xiiNviIiiRSTvrupMUlR14Jd0sjD52dzcP4hSRg24zCxZoQvlg/27pWyQR88jsJi/cEMFaWVvo+tj6V7U4cA07cmoqK5C7HeNvh1RRykBIH1hx7xlt6ZpL0l3ikU42E1F7/fLdfY4VKHQT62WBLviXA3KzhbGlGvTU7mM2UzMDHMGYf1MJBaEOuODWMDlVw+xRIpzmbVYvvNYr2Kh+64tiEBnrYmPS5Ek0uaMfen2yqX71oWgxGy7i9BELhf2YZjGVU4mVmjZNWuDvtWxCLe185g3kZblwiLd9xV+Rz6u1vh1XFkkJzi+/z1ThneOfaI1F782cTHlgclR1kTDwmbScOs3ow//wmFxZNRiA5YGLHw9qQQzI/1wKenc3Altx7bb5XgaHoVNowleRk9ISdtvpCHi9l1YDPp+GVxlF5FRUZFK5btSkZLpwi+9qbYtyIOLlbGShIlkUSKU/er8fafWUqkQnWY9J2yLPPFUf5YOVTV7IUgCFzMrsNHp7Ipj4ih/qTJlWL3RiSRory5k/LkKFYwBatvF6CJJ0QTT6hk+gOQnhDy8raxQ4g9SaXwsTcFi0HHSwfS1TqY0mnApfXD8czeVBQ18DC9vwvG9XOCVEogsagRB5IrkFWlejLlMOn4el5/pXl6tJcNxn1zQ2kxtzPjYMYActShuDtu6xLhZkEDLufU42pePVo7RTiWUa2X6c+KId54Z1Kw1hM1i0HHoVWD0P+ji2qvH//NDZxbN0zl8tZOIb67XIh9d0ohkhCg04AFsR54eUyA1hb4PxkN7QIVn4+3Jgbpff9t14qQVcWFlQkLn80MVfncBWIJVu27h4rmLnjYmODHp6Mo7tD3CyLhYJ6N3Uml+OR0Dmra+Hh7YjAaOwR4KAvbOv+wlsqc0AdD/Ozw9qRgnd2WKeEu2HmrBJmVbUgp1Y+HkVHRhtKmTspAjycQ43JuPb6/XKCXSmrtCD/Mi3GnwgYH+9n2mrAY622D4s8m4pvLBfhOwc1YTrp8eqAHEgub9LIRN2YxkPjGyB6R6buEEuxPLqest+UIdrbA0dXxaguGpwd64k5xE/X9G//tDVx4ebjBz20IPG1NMTbEEecf1mHHrVJsnNk3hll/B550LAzE9fwGfHwqm9L+Bztb4L3JIRjkq38EuWLewTfz+mO6Hgz3WwWNeHZfKjqFEkS4W2HX0hitB1kLT4iZ25J67P0vx1NxHiiq76B4Fi4ytcd4A9UeHQIxSrsVG3IyqbowJ234bWUcgp0t8OP1Ivx8oxj25hz8uiIOF7NrcTC1QmlUFOFmiZmRbqjl8rErsYRiiqsDm0mnCGBD/ex0jh3k47K3/tRNxlw22AvvTQ7R+zPTlmewaKAnPp4eCoAkAv56pwzfXi6gjLgSAu3x1sRgBOjRJu5L9HXHQp71ogh9ckEA4GF1m0ZLd4Asll85nImjaVWkvHhNvNIOUSyRoqiB7Hr1VKXhZWuCtyYGY1iAvcHdop9vFOGzM4bnGPUEdmYcGWfCg1LF6JKbGoq2ThFiPr2kNjK9O7ztTDFzgCs8bE3w8sEMSAng50VRGGuAZwlAFo7775bjh6tFVCfEx94UNIAqMmYMcMX/ZoWrVcwQBIHQ989TI5mVQ7zxzuQQg16DoUgpbcacH2+Dw6Qj6Y2ROoMP1eFJx+JfiOEB9oh/aSh+vVOGry+SfvELfrmDCaFOeGtisE6iT1p5C14/Qi5EaxJ89SoqTt+vwbqD6RBJCAz1t8OPT0dpVVykljZj9o+qLUhFy9ouoQS/3imjDII0obu7aHUbH408IQRiw+SoZhwmQl0tVdJZCYJAQ4cAp+/X4EMdrG85FJ3yAHJnO+6bRwZfbAYd82PdlTgMBEEg0NEc6w5mqDxelKc1Zke5YWKYs17jLbnF9sGUCtzr1n2xMGLC1oyjUtD9IUseHRXsgIQAB52Ofb72Zvh1RRwVy62IfXfKEOZqCUsTFjaeyUGpjEQb6GiOtyYFY3iAvc738E+HSCLFb3eVDaX6u+smyQJksbXh8H2IpQTG93PCVDUciW3Xi3A0rQoMOg1fzApHM0+E3YklyKlpR3YNF3l17RCq4eLowvwYd6wc6qMXF0Ed7le24quL+ZQySx2Wxnth5VBvJBY2UucSbWAz6XhplD9mR7lRCqm2LhEOJJdjd1Ipatr4+OpiPrZcLdTxSIajQyDG+axaHMuogliq/fN8Ks4Ds2RkaL5Iionf3YSUIKXFhhQVIokUR9Mq8d3lQoos7WZtjHWjAzC9vwuYDDoOyTYEf6ZXobaNjx8XRakc+zQaDRnvj4X/22cBANtvlSDK01otJ62vEO1pjQg3S2RWtuG3u+V40cCMqH8KnnQseoFmnhBfX8zHb3fLICXIA/iZod5Yk6Bealnd2oWpPySisUOAMSGO+OnpKJ1zu1/vlOHd41kgCNKt7qt5ERoZ8VIpga8u5uOHbieIpwd64MOpoTpHNu18EXbeKsXXl/QnnAHkQr5xZhimRLgYrJXn8kX47HQODqSoT4j8ZHooXK2NKTOwkkaeUk6HJrhYGsHH3gx0Og0Z5S1q49Dl6O9uhY+m9VMJpeuOB5Vt2J9SrmSxzaDTMCrIAQtiH1ls77hVoqTusDVlUwRggBzjRHlaY1SwI0YFOcDPwUzjItR91qsOdmZsvDI2EHOi3HplPmQoxBIpcmvbkV7egrTyViV+wVNxHvB3MIO/gzkCHM1gb84xaKE9mVmNF/YrB2KlvTtGr1b4Vxfz8d3lAtiYsnHh5WHUKIggCFS1duHriwVaHRoNgTGLgQ+n9sPEcGeNviX64GF1G76+WIBLOSQ3hkGnGWThrQuvjQ/E0wM9VcacIokUZx7UYPvNEoroK8fvK+MwyFc1OE0XhGIpbuQ34FhGFS7l1GntEnaHPIzrw5MPsSuxFI4WHFxYN1wvRZRESuDU/Wp8fTGfKrYdLTh4YaQ/5ka7q5ybbuQ3YPWv98ATSuDvYIZdy2LUysVbeEIM+PjRaPLiy8P0Io32FCcyq/Hi/nTYmbFx6/WRBne7/gkdiyeFRR8gt5aLj09lUwuegzkHr48PUoqY7hSKMefH23hYzUWQkzmOrI7X2nUgCAI/XCmkTH0Wxnngo2mai4PGDgEmfntThSz4+8o4xOspXSpt5OHDkw9xVbZbcrE0wguj/FHayMNPN/SPXwZIUuPGGWEYE+KodrErb+rEgl/uaLQpv/naCKXuj1AsxaWcOuxPLldr0BPhZgkajYbihg6tRYQiFMPKAJIA9+q4IKXFi8sX4Xh6FQ6kVChJ+zxtTTAvxh2zo9yU7H0V7Y7XJPji1XGBkBJAZmUrLufU4XJOvYrM1cPGhIp/j/W2UTkBvvXnA425NDMjXfHRtNBeLWr6opknRFpZC9LKyX/3K9t08njksDBiwt/RnCw2qJ9mcLIwUrtwzdqWpNIN0me8klXVhmlbEiGREliT4AtvO1NkyzgROTVcvb8b+qA3ab9y5Ne14+uL+ZTLI51GFrplTZ1Kxag2WJuw8OIof0yVSS7vljTj1T8y1arH/B3MsGlOBHW8yEEQBFJKW1TIlsHOFlg5xFvnpkEqJZBa1oLjGVU4/aBGbT6KHCHOFpgV5YbRwQ7YcDhTyTK/O3Yvi9Ep8ycIAucf1uGri3kUT8rWlI3VCb54eqCn1oX5YXUblu9OQR1XAHtzDnYpyFEVkV3NpbKEAMPls4ZAJJFi+BdXUd3GxxezwzHXwOLgSWHxHyksgEcEx09O56C8mayWI9yt8P6UEPR3s8Lzv6fhbFYtbE3ZOL52sFYjJamUwMensylXvhdH+uHlMQEadw5JRY146hfllrkJm4Gbr43Qa0bXJZRg27VC/Hi9GEIJaXL1zFAfrB3pp1Zm1dAuwPdXCrBXQ/aBJjhbGmFmpCu2XNWs5TdhM5D90Xjq9+KGDhxMqcCRtEoV5cvsKDd8OiMUHCYDYokUNwsbceRepdpgL0MR72uL1NIWpZkwm0HH+FAnzI9Vb7H9y41iarS0doQfXhmr/m9W2dKJq7n1uJRTj9tFTUrPYcZhYliAHUYGOWJEoD1szTjg8kUI/+CCxtea89F4g+Ka9YFYIkVeXTvSyluRLismSrv5lgCAOYeJ/h5WiPSwxrcKBL21I/yQX9eOwvoOlDbxoGnzbc5hws/RjOpu+DuagS+S4rlf7yndTtsC08ITIruGi4yKVsqZsa/xyhjSKK9DIMaSnckoauDBwoiJXxZHI85Hf36VHEUNHfjmUgFO3a/Wy4G1O1ytjHH6xSFU1o06tPCE2JVUqkScVMSr4wKxeJAnzBW6GIo8GcXUUwdzDpbEe+GpWA+lMV5ebTuOZVThREa11iwjTWRogIw+GP2Vej6RNk4NQZAS/C8v5FPdFgsjJlYN98XSeC+9DfqqW7uwfHcKcmvbYcJmYMtTkRgRpPpdU+TGAYbJvw2FnGMT6GiOc+uGGtQ1elJY/IcKCzkEYgl2JZbi+8sFKjpsFoOG/c8MRLSXZnMikUSK1/64T7WV358SgmWDvdXeViIl8OnpHOxMVPZbWDXMB6+PD9I5ZpEXQx+ezKZOCurUHvqgpq0Lm8/n96jFLLcrn/DtTar9dy6rFvuTy5XMucw5TCpufm60G76YHYHcWi6OppFGVorGX/4OZpgV5Ybp/V3hZGmkxDuxNGZh/ZgAlDTyUCQjknZPRFWHICdzDPCwhq9C3oq7jQlYDLpSkJGuQlARPIEYiYWNMpvxep1yO03Ql9SoCS08IdIrWnCvrAVpZa3IrGxV243wczBDpKyQiPS0hp9s3ARoJm/yRRIqubewrh0F9R3Ir2tHaZN2ebIidi4lA/UkUgK5te3IruYiu4bsQtRoyImwNGYhxNkCViYsVLZ0qbT6tcHfwQzvTQlRK21s7RRi5Z5UpJa1gM0gVUbdHW81obSRh++uFCiZSOkLDpOOtyYG4/0TD2HKZuDqqwl6hWERBIF7ZS145XCmiqkdQPpnfD2vP8LdrJSyQrY8FYnfk8uxJ6mUUmYZsegY7GsHOzMOMitbtRr4GUKGluf/vHQgQ+W6g88OVCne7hQ34csLeVS3w5TNwPIh3lg51KdHnQQuX4Q1v6bhVmEjGHQaPp4WiqfiPFRup9g9tDfnIOXt0QY/lz5o6xIhfuNl8IQS7FsRi6H++vOmnhQW/8HCQo76dj42n89T8l7wtDXB+XXDNLbmuoQSrPntHq7mNYBJp2HznAiN5M46Lh8jNl9TOfkfWT1IL1fF0kYePjj5kCKJuVga4b0pIRjXr++yPTTFLBsCOg1ICHTA/Bh33CxoxL47ZWAz6ViT4IuL2XVK4wlrExam9XfFrEg3hLpaKL0PxUVPcRGWy1P3JJXiUo7mrBFNYNJpSr4W9uYcfDu/P3ztzeBgIK9AKiXwoKoNl3PrNe4yNcGYxUDOx+N13xBkQZpf106ONMpakV7eopTGKocZh4n+7lZkIeFpjQHu1lpn3YaqQoRiKUqbeCio66C6G3dLmnrkyaKISWHOGORri8L6DtwsaFCRGWrCglgPrBvtr2QBrwl8kQQvHUjH+Yd1oNGA9yZr3gAApFR8ejejL23YPCeCypsRiqUY+/V1lDZ14vkRvrhV2ITMilbMiXLDpjkRej8mQKozdifp5lEpqkKEYil+v1um01JbjmhPa8wygAwtx82CBizakazx+uS3R6GqpQtfXcynxqEcJh2LB3niueG+PVJQKEIoluLNow+ozdHzI3yxYWygyjE8+PMr1EasJ38DfSHnmQwPsMee5fobZj0pLP7DhQVAMryn/qB8MnG1MsZbE4MxMUx5AW/rFGH5nhTcK2uBEYuObQuj1LbjAOBaXr2K3a6DOQcXXh6mtTUKPDK5+klh7PHsMB88P0L92KMnKG3kYcmuZLW7I4DkFMjHRb0Fi0HDqCBHzIx0RYIsI6A7frxehM9l3QT5zLK2jY/DqRU4mFqh1K0Id7PE2BBH5NS04/SDRyOVKREuGOpnh4qWTjLQTeZKqo2YZsJmKCXJyh1Ive1NVUh0chTWd2DjmRwVp87ufBB10OTY19opRHp5K8WNyKxoUyvx9bE3JTsRHtaI9LSCv4O5QR4tPZGbEgSBBlm6bHYNF1+cezyjDHUwZTPw0bRQTO3v0qMsIImUwAcnHmLfHXIkqNgprOfy8evdcoMKxFXDffDy6AC1G49zWbV47td7lA/Lmt/SAADHnx+MCHcrg187QRDIqGjFK4cy1RaVAHD4uUGo5wpwLKMK1/LqlSLr1WFNgi/mxbjD09Zw/wsuX4RxX99ATRsfSwZ5YuVQH8pTQx1YDBrmxbhj7Qh/OFn2XVAcQRD49nIBlaQ7rb8LvpgdrkSYF0uk8JMpRQD0iAehD8qbOpGw+SqkBHDh5WF6y8efFBb/4cKito2PaVtuoY4rwIhAe0zr74r/ncul2raxXjZ4b0oIQl0tUcflY/GOZOTVtcPCiImdS2PUjktEEineO56F/cnKCor1YwLwwkg/rbtjgiBwIbsOH3Ube3w4tR98+sCinCAI3C1pxvyf76i9PtbLBjuXxcCMwwRBkDvz/ckVOJlZbbCPhSL+XBOPAR6aQ466nwR+WRyNA8nluJpXTy3U5kZMzBjginkx7kpOpOnlLXj/xEPKBCnQ0RwfTO1HeZZ8f7mAItc6mHMwOdyFUq5UtHRpbfPbmbHhY/eo0LAyZuFEZjWV/8Kk0/D0QE+8NMof1qZsdAklSCpqxOXceo1EToAMYnp5TIBSIVGsZsduymZQ3IhID2sM8LDSWZTqgq7CQiyRoqSRR5Ep5aMMXR2KVcN9EOJsgQBHczDpNBQ18HCrsKHH1tc/Ph2FUcEOfRIsSBAEtl0v6lVBNK6fI96ZFKJVqk4QBOb9dAfJpc1UsuvR9CoM8LDC0dXxveoytvNF2JNUapD9uDo4WjziYRj6XXr1cCYO36uEl60Jzrw0lNrkKG4KFPHKmACs1XHO6w0Oy6IDxFICcd42+HlRtFK3rjvv6cTawTpVZT3B6l/v4WxWLebHuOPzWeF63edJYfEfLSz4Ignm/nQb9yvb4O9ghqNr4mFuxEKXUIKfbpBJoHyRFDQaEOdtg8yKNnSJJHAw52DvilgEOam+/qrWLgz+/IrK5fp8oR/n2EMoluJIWqXG/I61I/ywfkwA6HQapbDYn1yBbAXTIS9bE0R6WONoehXszNg4vnYI3v7zgVYtvyZMiXDBmxOCKCfT+T/f1pjOGOtlg/mx7pgY5qxxPCWVEjiYWoEvzuVS6Y1TIlxgbsSkFvgNYwOU3E8B8nMpb+6k8lYedTl4GpNlFeFhY4JRwQ6yvBUzeNubwtnCCHQ6jVxkfr6D5BL170sdfOxMMUDWiYj0sEaAo2HdCH2gWFg8+GAsxYXIkXUj8mrb1ea00GmkKZI6zoVcftgllCC5tBk38xtws6AReXWaZ/v6gMWgwcfOTIk4GuBoBk9bU70k01WtXdidWIJfbmrOk1HEiiHemBjmjE9PZyNNZjPvY2eK96f209t3RLED+sviaLx0IB2dQoneJnuaQBAEsqq4OJZRhR1a8nHkGBZgj1mRrhgb4gS+SILfZX4Y8u+1MYuBOdFuWD7YWy/3zss5dVixJxU0GnB41SBEe9mgorkT314uwNG0Sq2dOkNyYwzFzYIGrP41DR0CMfwczLBraYxS8deddJr6zug+d7m9V9aMWdtugy0zzNLn8Z8UFv/BwoIgCLx4IAMnM6thbcLC8eeHwMNWeSdS3dqFz8/m4kSmsg20/CTaHecf1mLVPmWWvI+9KY49P1hjSx14vGOP1k4hvjifp3H3LM/tkBPH9idX4PSDamp0wGbSMSHUCfNjPDDQxwbpFa1U8I+ixbciVg33wfmsWrXqBH1ha8rGrCg3zItxN4ig2topxJcXHnmWyLFutD/WjQ4w6DW080UobuBhy9VCXMiu0/t+bCYdEilhsL9BpIcVZke5Y1Swg178AUNAEASq2/jIrubimb2pOm9vymYgyNkCIc4WCHGxQLCzBQIdzWHMZmDOj0kq0sM3JwThZkEjkkub9TasCnA0w7PDfPHp6Wy0dIrAYtDw8pgAFNXzUFBPcjk0yWSZdBq87EwR4GgGP4dHslgWg459t8tUkla1wdGCg6/m9keIswU2XcjD/uRyEAQ5IntxlD+WD/Y22Pfl5YMZ+DO9CrHeNhgeYI9N5/PgaMHBlVcS9FZByFHWxMOx9Gocz6xS29XShlfGBGD5EG/qOQViCU5l1uCXm8UUoZNGA8YEO2LFEG/Eetuo3cS08IQY+80NNLQL8MxQknz5/ZUCHEypoEYvo4Md8crYANiYsjFw42WVc0Octw22LozsNcdCHXJquFi2KwW1XD7szEg5apjbo65m93Nz3ifjDUre1QWCIDBjaxIyKlr1Ptc8KSz+g4WFvD3OpNPw68o4DNQgRbtT3KQyNvCyNcE7k0IwKtgBNBpN5iCYqVKAvD0xGCuHemuVYT2usUdxQwdW7EnVaBUuD89p4QlxJK0SB1MqlLIKAhzNMD/GAzMGuMLSmIXbxU04cq9SJWhqkI8txoc64ZtL+WjpFOHpgR74ZLqyd75USuBSTh3ePpalVxdAEcsHe+OlUf4GRZETBIFn9t6jTIwAw3edADli+eR0DuXT4GjBwYaxgZgZ6YamDgHV2cisaMXRtCq9bJD1RairBUYFOWJUsANCXSwNClYSiqUoqJd3IdqRXdOGnJp2ykq8O5wtjZQKiBBnC3jYmKh9zofVbSrZNYZgcrgzPpoWChtTNtr5IszaloT8ug61qcFSKYHqti4U1HegoK4dBXUdpGKlvqNXY7nucLIwwvhQJxzLqKJ8Hab1d8GbE4J7zAuobu3CiM3XIBBL8f2CAfjifC4qmruwdoQfNowL1Hn/xg4BTmWS2TYZFa1ab2tjysbUCBeEOFvgl5vFajNH3G2MsW1hFOX9QBAEbhc1YfutElxR4AmFuVpi5VCya6M4gnpxfzpOZFbDxpSNSWHOOJRaQXW1hvrb4ZWxgejfjUNyI78Bi3eqkjw3jA3As8N8DS7WdKGmrQvLdpFyVGMWA1sWDsDIIEfq+o1nc/DTddLnh8WgIf+TCX06ojl1vxprf0+HrSkbiW/oNsx6Ulj8xwqLsw9qsFpGqto4MwwLYlXlSgBw4WEt1u5Ph1AsRayXDcaHOmHrtUd+9kP97bA03gsr9qjuAHW1/koaefjgxENczyfHCK5Wxnh3cnCvxh7yk8VT21XtpQHS0GfviliYsZm4U9yE/SkVOJ9VSy2IxiwGJoc7Y36sByI9rFDcyMORe5U4ll5FxTor4tbrI+BmbUJJu9ysjXF+3TCNO7JOoRin79fggBqLbUPwwkg/PDfcV+3zEASBry/m4ztZsmuQkzkaO4TU32xsiCPenax9Tl7Z0okvzuVRhaIxi4FVw33w7DAfGDEZKGrooJQaaeUtKGzo6JHHgb6wM2NjdLAjRgU7YrCfrdLi28ITUiMMOSeiqKFDLYGPSafBz8FMSXqY/u4YnbblfJEEqaUtuFnQYLABmyJ2Lo2mTvQSKYGVe1JwNa8BDuYcHF87GM6W2gP+CIJAUQMPP98o0pmgqwuTwp0xOcyZOg/IEeRkjg+n9uuR50V3bDqfiy1Xi+BtZ0ryq/ang82k4/L64Wq/fzyBGBeya3EsvRq3Chv17ngVfDpBqQjoFIqx73YZJavujvVjArByqDf1PSqs78DOxBIcuVdJFQvOlkZYGu+F+bEeSCpsVPmcAFJVsmFcoMZNGUDydT47k6sitQfI78OIQIc+Xdzb+SKs+S0NNwsaQacBH08PxcI4T+r6id/epMa7Y0Ic8cvi6D57brFEiuGbrqGqtQv/mxWGeTHq1xU5nhQW/6HCIquqDXN+vI0ukQTLBnvh/Sn91N7uUGoF3jhyH1KC/AJ+v2AAjFgMtPNF2HK1CDtvlajdoUa4WeL3ZwZqXFy7hBJsuVqIn2+QYw82g45nhnn3auwhFEvxx71KjSFbzw7zwRvjg9DIE+BwaiUOpVYoKUFCXS0wP8YD0/q7QCIlcDKzGn+kVSFTYadkYcTElAgXhLla4o2jD6jYdMVdyf5nBqoNecuqasP+ZNJiu13BYntkkAMuKowYCj6dgD/uaeaBaMPr44OwbLAXfrhSSFmlvz0xGM8M8wGXL8J3lwqwK6kUEikBDpOONQl+WDXcR2lX0c4XYeu1Iuy4VQKhmOTWjO/nhFHBjqhq6UJaeQvSNdiOe8r4J5EeVhjgYY0gJ3MVP4CkwkaNRV9fw8KIiRAXC4Q4WyLY2RwhLhbwczADh8nQSd4kCAL5daQE9EZBI+4WN6nlXGjCyCAHvDOJ3O1P/PYmSps6VeR+H53Mxs7EEhixyJRYdfwjgiBQUN+BH68VqXTK1GF4gD1mR7nBwpiFB5WtPSI5jgxywLrR/vC1NzN4ZNEdHQIxEjZdRWOHEO9NDsGlnDokFTVhQqgTtj0dBYAket/Ib8DxjGpczK6jjK40ob+7FWZFueFdmX28rhCy3Fou1h3IUOtj4WpljJ8WPepiNPOE+O1OGfbcLtPq0xLmaolXxgZgeIC93kVBU4cAo7+6TvGf5HCxNMLeFbE9jh5XB5FEireOPqBi7Fcn+OLVsYGgy+zXfd86Q932vckhWD5Es/zYUMgdff0dzHDh5WFaP58nhcV/pLCob+dj2g+JqGnjY1iAPXYuiVZrBqNoojQnyg0bZ4Yp3Y4vkmDqD7eU4rsBUo1w+sUhah9Tbmf78alHY49hAfb4YEpIj8cezTwhvryQh9808Cd+eGoAJoQ640Z+A/Ynl+Nybj21CzLnMDFtgAvmx3gg0Mkc1/IacOReJS7n1lG7XQadhoQAe8yKcsPIIAcYsRjIq23HuG9uwM6MjSsbEjD+6xuolknPPpwWSj03ly/C8YxqHEguV/Kw8LAhLbbnRLnh9+RySi723YIBakOoBGIJfrtTjo9O6afNV8SHU/thQawH1XLNr2vH+8cf4nYxqehwtzHGe5P7YUSgPQ6kVOCri/lo7mbPrI5HYsSiI9yNJFdGeZJKDX3JYMczqpTMhXztTZX8G76YFY7sGi7OZdWilqveUEoTGHQapoQ7Y1K4C+J9bTUujOoKi6YOAW4VNuJmQSNuFjRQRkv64rXxgVg+2FupUPvgxEPsTiqFs6URzq0bRnkl/Ha3DG//SS6MWxdGYqIsLIogCOTUtGPb9SKc7DZWVIfRwY5YneCLAe5W1NimSyjBvjul+PF6MfW39LU3xcI4TwQ4miO3lktZueuCm7UxZW3u52CGANlPQ2zZf79bjrf+fAArExZ+XhSN+T/fhpQgxwG1XD5O369RWWy7w8XSCDMiXTFjgBv8HMhzhaJBlj7ppnwRGWao6b2/PDoAzw7zgTGbAb5IgsOpFXj3+EOV2z0z1BtvTQzucZfhbnET5qlRpM2LdsebE4N6rXiSgyAIfH+lkErdnRLhgs1zSDkqTyBGv/fPU7dVZ+zVU3D5IsRvvIIOgVinzfmTwuI/UFjwRRIs+OUO0stb4WNvij/XDFYxhSEIAp+fy6XmcKuG+eCNCUFKB5G2mGyA5Ca8OzlEyYFN/dgjBOP6OfboAC2s78Bzv96jIuG749y6oTA3YuFQSgUOp1YojTGiPK0xP8Ydk8KdUdzAwx/3KnEis1ppQZVnBEyNcIG9ufKCqVhYjApyxMHUCnjYmODcuqEwZjHUE0AZdIwLdcKCGHcM9CEttoViKQLeeSQvNSS+u0sowc7EEoNtoZl0GjbODAObScfGM7l6L9zuNsaPfCM8rBHkbN4rCeTnZ3Px43XNdun6eGHoAycLI9KbQ+ZASv40w4jN16jbrE7wxc2CBmRV9SxyXJOTqCI3ac/yWIrbkljYiMU7kyGREnhlTAASAh2w5Wohzj2s1flcE0KdsDrBF2GulirPyRdJsD+5HFuvFVE8Hi9bE7w02h9TI1zBoNOQWNiID048pDgIEW6WeHGUP0zYTOTWcvVO7XWxNIKfozkCZIRRP5nFuTqCtlhCpn/m13UgIdBebwWVCZuB8aFOmB3pRh0zijC0sFBEQV07XtifrraLYWfGwdh+jricU6exuIxwt8LKId6YEOrUI6tsqZTA5gt52HpN9Rj4cGo/LIzz6DML7j/uVeKNI2SCbqy3DX5eFAUrEzYqmjuV/DeS3hhJKdR6i49PZWPHrRIM9bfDvhVxGm/3pLD4lxcWBEFg/aFM/JleBUtjFo49Pxje3eRVYokUb/35gJrdvjkhCKuG+yrd5lBqBV77477SZYP9bPHzomgcTa/CVxfyqN2HnCF9+n6N0thDrvYwNDOCIAgkFjapjecGgH4uFtizPBappS04kFKO6/kN1E7byoSFmQPcMD/WnXz/6VU4klap1HGxN+dgen/1GQGKkBcWctBowLaFUahs6cSBlAqlYsffwQzzYz0wc4Cryhx/6g+3KN8JTSobfUAQBD4/m9ur2X93xHrZYIBM7jnAw0ovO2ZdUPSGeFjNxc86Xq+tKVs2yrCgfnrbmSqdcGvaurA7qRTbb5b0acKmvvj9mTjE+6oG5/EEYoz/9gYqmruwINYdG2eSun5tWRPqMDXCBc8N90Wws7nGAlwgluBQaiW2XCmkCkU3a2O8OMofMwe4gsmgo6q1C5+dzqGM1GxM2Xh9fCDmRLkrLdgEQWDL1UJqhOJqZYyVQ71R1tSJgvp25Nd1aCUfO1kYyQoNsrvh72AGcyMWPj6VjVuFqoF83UGjkWToWZFuGB/qpHUU05vCQg59u4EvjvLH5HBn7LxVgqPpVZTqx9XKGEvjvTAv1l2r6k0T2rpEmPjtTbXZJYbaY2tDYmEjntt3D+0CMXztTbF7WSzcbUxUyKXZH43rE/PBiuZODN9EGmadWzdUrS0B8KSw6NPCQv5hvj8lBAmBDnC04PSZk6QmbLtWhP+dywWDTsPe5bEY3C1FlC+S4MX96biQXQc6Dfh8lrJDW6dQjOW7U1R8Fr6aG4GZkW7U722dInxzOR97b5epnOiHBdjjw6n9VAoaXRCIJfjjXiXVOu6OpfFeWDzIE4fvVeKPe5VKJ75BPraYH+uOhAAHXMuvx5G0KtwqaKB2w4ZkBMjRvbAASIa1fHzSnQCqbkFQ9PrwsDHBjddG6PVZdAdBEPjsTA7lUfDRtH5YPMgLALm4Xc9voJwPDcWuZTFIMGCGrIgOgRi5CmTKnBoucjV4Q2iCoe1ZkUSKlJJmXM6tx+Wcul5JfRUxMsgBa0f64d1jWUojLUBzl+ndY1nYd6cMLpZG+HRmGHYnllLdOm2YOcAVzyX4wl9LPL0cIokUR+5V4vsrhdTC5GJphLUj/TE7yg1sJh18kQTbbxZjy9UidIkkoNOARQM9sX5MoFaVR1X2EAAAN8xJREFU0eHUCrxx9AEkUgJD/Oyw7elIKgCstVOIwvoOKkelsL4DBXUdBo+tFOFjZ0rm5Qxwhaueu+a+KCwAsntwJqsGL+xP10hAtjVlY++KWPRzsURjhwC/3inDvttlVKqrKZuBeTEeWDbYSyspWhPSy1swQyZhV8QQPzt8PD3U4HOmOuTWknLUmjY+7MzY2Lk0BuFuVthytVCp81n82USDFFia8PxvaTj9oEarlfiTwuIxFBaKMDdiwtHCCI4WHDiaG8FB/n8LI+pye3NOj3THF7Pr8Oy+VBAE8PG0flgkW3jkaOeL8MzeVNwpbgabScf3CwZgXD8n6vr8unaM/foGuuPahgS1pjIljTw8vf2uShX++cwwzIl219vsqKlDgK8v5Wt0LfzfrDAYs5k4kFxOuUACZCtztsz/oZ7Lx9E0Mh5ZUZ7X04wAgNSLT/j2psrl4W6WmBfjjqkRLkopjOqg+B3oaeInQRD45HQOZRS0Yog3QpwtZC6Wrcir5fbJOEEOH3tTfDYjDHEKOn+5N0SOgjtldg1Xo0W6CZuBYGcLkkzpbAlbM7aStn51gi+2KbSH5aobfSEUS5Fe3oIbBQ3Ym1RGEWUfF35ZHA1vO1N42JiAzaRDKiXwzaVHihxdmBftjlXDfQziGIklUhzLqMZ3lwsou3kHcw7WjvTDvBh36hxxJZcM7ZP/LWK8rPHh1FC9u6TX8uqx5rc0dAolCHG2wO5lMXDQ4i3S0C7AzzeK9DbiUsSigZ6P/DgczQwyV+ppYUEQBC7n1OPLi/nIkakkrExYWDnEG3+mV2nMbXlxlD/WJJCd3OMZVdh+s4QaLdFpwPhQJ6wY4oMoT80uu5pezw9XCimHXEU8M9QbL4zy71FXRBG1bXws252CnBoujFkMfL9gAEaHOGLBz3co3lWstw0OrRrUq+cBgLTyFszcmgQ2g45bb4xQ2/V8Ulg85sJCX9iYsuFgznlUhFCFx6PfbU3Z1M47p4aLWduS0CmUYNFAT3w8PVTp8Ro7BFiyMxkPq7kw45DRynJVA0EQ2HenDO91IzCN6+eI7xYMUClyOoVibLlaiF9ulFBjDz8HM7R0Cil78H4uFnh/Sj/EemsOH8uva8fa39NUiKFyfDOvP+5XtuFoeiWluafRgGH+9lgQ6w4/B3OczKzG0fRKVDQ/Km7crI0xM9INsyJde5QRIId8N6oOI4McMMzfDt72ZvCxM4WLlbFKIXU1tx7LdpP5KUvjvfDBVPWqHG3gCcSYtS1Ja2IjQLZq+3tYobK5E5mVjxIzI9ws8c7kEMTI7Ni7t8r7As6WRpQnhNwfwlONN0RWVRsmf//IF2LD2AAlNYO29ixBECht6iTVG/mNuF3UqJLUqy9eHh0gy8XBI/fRBtKnI7lUf+dQXfhlcTTGhDjqvmE3SKQETt2vxreXCqjMDDszNlYn+GFhnAdFGi1r4uGjk9lUhouDOQdvTwrG1AgXg7tP9ytbsXx3Cho7hHC1Msae5bEUeVL+mu4WN+FYRhXOZtWiXY1aqCewMWXDz0HuNCojjTqawd7sUVheTwsL+Uh184U8yh/DnMPEyqE+WD7EC1y+GOO+voEOgRgLYj2QVdWmNm3WzoyDPctjEOJsgRsFjdh+s5gKHAOAAR5WeGaoD8aGOBrEl+AJxJjywy21RmCfzQjDvBj9N2fq0M4X4fnf03EjvwF0GvDhtFAsjPWAj4JSpCdmeoqQSglw+SKM/PI6mnlChLpaYPlgb7R0itDaKcTDaq6Sd8jjyDD5f1dYyDkWp18cAicLIxQ38lBU34HiRh6KG0hL5bJm/WOau4NOI7/0LNlsVY5PpofC1doYjuZkEdIplGDRjrsobeqEnRkbu5fFUrKrDoEYC36+o3JAKTLY5SDVHrX4+FSOktpDPvYQiqXYe7sU314uoE48k8Kd8eaEIGo3ShAEbhY0qjWTAciiYPEgT5x/WKfk/+BsaYQ50e6YGOaE9PJWHE2rVHJENOMwMTHMCbMi3RDjZdMnLT65Nl8fsJl0eNmayAK+yGLjtSOPOCr6RIgTBIGypk4qT+NeWSu1w+r+XGGulkpR4eXNnfjkVDZVVLhYGuH1CUGYEu6i9bPovtgbigPPDtSq7e+Oc1k1eO7XRyOb50f4Kn3Giu3Ztk4RkooacUOm3tAnRt4Q+NqbYnSwI0YGOSDK0xrtfDEGbrxs0BhHE+QnWDLszUwv0zOplMDZrFp8cymf2hlbm7CwargvFg/ypIquTqEYW68WUXwmJp2GFUPIna4hKo7uKG/qxOKd5HnCyoSFHUuiwWEycDyjCicyq/VSz4S5WmJmpCvife0wc2sieEIJPp8Zhm8vF1CbjpFBDiis70BFS6fGkYSlMYtSqexPJjuZvvamuLR+uF5FU2ppMzadz8NdmcW8EYuOpfHeWDXMB9ambBAEgUU7knGrsBGRHlY4/Fw8GHQaRBIpDqRUUBLX7lg7wg9rR/qhtImHnbdKcCy9mpLiu1kbY9lgb8yNdtPZyVSEJiM2bzuyc6hO1q4vRBIp3vkzCwdTySynVcN98NIof4S890gpsmtpDBIC7dEplKClU4jWThFaO0Wy/wtl/ycLhZZOIVq7Hl3f1iUyyNfm4+mhWDTQU/cNDcD/28JCG3lTnt9Q3NCBogZZwdHIQ1FDB7VL70sEOZljoI8tHCw4aGwXqjVzUdeWLm7owAcns3FDD7VHU4cAX17Mp+yCOUw6lsZ7wc6Mg0/PqJeARbhbIcTZAqcylf0fRgU5YE60O+g04FhGNS48rKVO/HQaMMT/UUZAT8YM2rD5fB7lE3H7zZGY8O3NHv9NItwsHxUdMuWCk6URCus7lKLCm3iaw6/enRyCSA8rhLhYUF2ksiYePj+bi7NZpNLAlM3AmhF+WDFEWQ4plRKoaOlUysnIruaqNQPrDUYGOeD9KSFaO0VfXcxXSticGemKo2mPvBteGuWPGwUNyKxo7dGIZ/EgTzw7zAdu1iZKXcNrGxIoXkZySbNStLw5h9mjcYopmwFH2aZBG2xM2bKMFTLgTZ4s62FjAg6TjgvZdfj6Yj7VmbIwYuLZYT5YOtibKhYIgiw8PjmVTf3dhvrb4f0p/ZS6C71BU4cAY7++ofV72B0O5hzMGOCKmZFuCHR65NEgd/x1tTLGrmUxmPzdLQglUqqT0yWUoKihAwX1j5xGC+raUd7cqfHvbm7EpHJU/B3JwsPfwQzOlkag0Wh4UNmGLy/mUYoUNoOOp+I8sGaEr1KLft+dMrx7LAtGLDrOvDhU7YiqorkTa/enK3ncyCHnYtibc/Dr7TL8erecUpuZc5iYH+uOJfFeeo/3CILALzeL8dkZVaOv8f2c8NbEYJUYBk0QiqVo7ZIVBDwhWjpF+PRMtlJXN8jJXGcX9HHgySikD9BbVUgzT0h1NorkhUdjB8qbOpVOin0JVytjstthYQRHcw4sjFn4416lUqT42hF+eqk9squ5ePFAukapKEAWFFIpodQxkfs/hLtZ4kZ+A45lVCsRNf0dzEgCWH/XPo0n7g7FwkKRvCcQS/DVhfw+VWcowsKIqWRM9cWscMyNUT4Y2zpF+P5KAfbcLoVIQoBOA+bFeGD9mACYGzGRV9v+iAtRTRIqNVlDu9sYI8SZNJVKKmpCuiyQik4Dnh7oiVdkBMD08ha8ezzLYLnm5HBnvD0pmHKbJAgCi3cmK7WTewNLYxbenxKC8aFOKqMUTQZZLTwh3j2ehVP39RsJrU7wxfLB3uCw6FSUtny8lVPDxbQtiRCKpXC04GDlEB+UNJGbhJJGnsE+GZEeVvhkehgCnR6FshXUteODkw+RWEjOx3sr4+6Opg4BTj+owbH0KiqQTBuMWHSM6+eEmZFuGOJnp7Zl3yWUYMTma6jl8vH6+CBw+SJsu1YET1sTXHh5mEYeGV8kQXEDjyo45MegoRjqb4fPZ4WrkETLmzox/tsb6BRK8P6UECwbrN00SiyR4mBqhUZS+fMjfPHsMF+ceVCD7TeLKc4Gg07DhFAnrBzqo2IBrgl8kQQztiap7VQGO1vgqTgPCMVStHWSBQPVYegSooVHdhV6OiIEyG6otQkLVsZsWJmwYG3ChrUpC5bGbFjLfpcQBDadz1PxwVGHH54agMnhLk84Fv+kwkITRBKyy/HW0QdUqw8g26a6DGj6AnICqpOFERzk/A8ZH0RORm3hifDqH5laq2JjFoNy32Mz6BjbzxFj+zmhnsvHn+lVSsx8eUbArEg3hLpaPLZoYkVoKiwUQRAEruU3YNmulMf2OlYMkbfUTeFuY4KL2XX47kqBUvdk5gBXiKUEsmu4KG7oULvjYzPpCHQ0R4icVOliiSBncxWiWHVrFz47k0MtujambLw2LhBzo1Uli7eLm/DOn1k6d+x9jdHBjnhhpB/CXLVniygWFt/O749vLxcYHG7lbWeKkUEOGBXkgD9kGTKetiY4+9JQ8AQSTN+SiKrWLsT72mLP8lgV348OgRiljY+4HMWNHTieodsUi82kw96Mo0KOXjTQE29NDO51h65TKMbF7DocS6/CjQJlW21NoXux3jaYHemGCWFOerX7j6ZVYv2hTJhxmDjz4lDM/jEJ9e0CvD4+CKsTfHXeH3j0N4zxssbH00OVuhuXcurUWrrLYcJmwM/hkSzW194M7x3PQk0bHwN9bPD7yoEGjU2rWruw9vc0qvhWhLUJC/tWxKGhXYDtt4qpIhB45JcT42UNbpeYLAQ6RWiVdRSoDoOsUNCUe6Qv6DSy4LY2eVQgWJqwkFvTrpTi3L1zUfjpBBWeiERK4HhGFdYfytT7+XctjcGIoEeGWU8Ki39BYQGQxMAVe1IgJZStWlt4Qnx9iZSByuFiaYT6doHWLoeVCQtmHCbMOEw0tAvUtkIVC4G+ghmHidUJvrA0ZuFaXj2u5TVQr5PFoGFUkCNmRroiIdChz4N8dEGfwgIgF9hKmQ32tmtFerUYrUxY2LMsFlKCkMWYk12pMw90myfpA7k3hCKp0qebN4QuJBU14v3jyiZLH00LRYSW3RdBELiaV483jz4weKeuC6+ND8SsSDe90lCFYilOZlbjlcO6T4aKEmJFDPW3w53iJrXXLYj1wEuj/LH6t3ukEZ2dzIhOB5ciqagRX1/MV+IHDfCwwpgQR7R1kQmzJY08lDbytB6vlsYsqtiUm4F5y0Yt2goOkUSKWwWNOJZRhQsPlW21zY2YkEoJiCSEWgv/WG8b/LYyziDDNKmUwLQtiXhQ1YanB3pggLs1XjmcCVM2A1c3JGhVn8ihjrxZ1dqF7y8X4PC9SqWCaFI4yQsrqGtHSSNPa9FhaczCyCAHJS8OdxsTrYRJ+ZihmSfEzzeKlUZ4fzUG+9liVJAjrE1ZsDJhw0pWSFibsGFuxNRYMOXVtmPZrmRUy+SobAadGq0FOJrhwsvDUdzQgbf/zKIUJNrw06IojAl2BJ1Ow6ens/HLzRIVou2TwuJfUFgU1LVjxtYkGZvZHZ/NCKN28LsTS/CBzFVvWn8XbJ4TASadhs0X8tQSES2NWRqTIOXwtjNFiIsFfO1M4WBhBDMOE6YcJtr5ItRxBShv5mF/ckWfvT+AJL+tHOKDQCdzOFoYwdqE9Zd0KRShqbDgiyR4UNWGtLIWSvKpzkzIjMPUK5nS2dIIB58dhK3XCnEghfwcRweThVRPCg03a2PEedvCRzbL97Y3hZetqc4EQnUQSaTYe7sM31zMR7tADBqNlE6+Oi5QYyR0ZUsnZZedWNik8/ulC/qEhwnEEvyZVqVEEtQEYxYDL432x8I4D5gbsZBby8X4b5RlxSODHLBzaQw6BGLcKmjA0bQqrXHyPy+KwpgQzWOJ1NJmfHkhnzpRs5l0PB3niecSfFTkeVlVbXj3eJbSrtjdxhieNqYoaeSpNVlShIulEbxlPB6y4DBBW5cIqaUtOJdVq7RpsDJhgUmnQSwllDpg5hwmJkc4Y1akGwrrO/D2sSxIpASGBdhj68JIg0iicmdSBp2Gsy8Nxat/3EdmRStmR7lh85wIiCRS1LbxUdnSharWLlS1dKGqtRNVrV2obuUr7d5DnC2UdtwAMCLQHq+MDaQI6XKIJFKUNXWiUGb4df5hrYo/iT4wZTNgYcxCO1/cp0mzAJn5EuxsQY4fTMgCgSwOWLCUjSQAYN7Pt9V2SaZEuOCNCUF6e4LIUcflY9muFGTXcGHEolPOwfpgfD8nfDw9VMWpGCCP/eGbrkEiJZTWvSeFxT+8sGjmCTF9SyLKmzsR522DfSviwGbSyaTLSwUUKW5pvBfemxyCti4Rxn1zA/XdFr5fV8RhiD9pntXaKSTlowbq0hmyoJu/AmwGHfbmHDhZkqMWB3OjblJcDhwsjGDOYfZZAaJYWHy3YADSyshgrofVXJXdpPzkLMe0/i74Zl5/JR+IvhqZhLtZwt6MAyM2A2wGHbVt5MlXm3ERjQa4WBpTxFH5Px87M7haq0plu6O+nY/Pz+ZSOzQLIyY2jAvEU7EeEIiluFPchJsFjbiR36AyFrEwYsLOnANul1hr4JO+eHVcIJ4e6IkTmaQkU9/HfPjhOLUOj28efUApD+TI+nCc0uK5/lAG9d5XDPGmPEUU4W5jTMW/x3nbgs2kI728BV9dzKf4JCwGDQtiPbAmwU+FH9TaKcTmC3n4/W45pARZAL0wiiTiKvIRuoQSlDbxlDpdJY08FDfwelXEMeg0DPO3w8xIN4wJcVQqRK/k1uH539LRJZIg1NUCO5fG6O3S2ikUY/J3t6jvRbyvrZIfTW9t3a1MWLA3I/1/7M05sDfjwM6cA7FESvEQmjqEehmXGYowV0vYm3NgZcKCpTELV3LrNXq7LB7kCW87U+y7XUZ9Fgw6DZPCnLFyqLfacDpFlDbykKBgUa+IF0f547nhPnobMBIEgRsFjViiQZ3XHT8tisLIIAe9ulVrf0/Dqfs1mBXphi/nkoZZTwqLf3BhIRRLsWjHXdwtaYa7jTGOPz8ENqZsSKQE3j+RRRlMrR8TgBdG+iGltAVzf7qt9BhmHCaubkigqs3ihg68f+IhdeJztTLGe1NCMDbEERIpgYqWLplihSSRFjf0TOsf6WEFsYykKf/rshl0jamp1qZs1HEFqOfyDWKom8hY+t09QBxknBB5UaKpXcwXSZBV1Ya08ha1DG057M05SnLPMFdLBL17jrq+++hEKJaiqKED2TKDqau59QbxEsJcLbF1YaRWtz+eQEwtNvJ/cmmzNt8BNoMOD5lUVq5c8LEnW+t2ZmylQi21tBnvHMvSOu5h0GkIcDQHgw6UNXZqVVtYm7Dw+vggFNZ3YLuaxbonsDVl48VR/pgb7Y7g9zT/TQCSBBu38ZLKjk3xthez6/DM3lTQacDh5+JR09aFtb+nAyA7a3ZmHCQVNVH2z+rApNMwJ9oda0f6qewuJVICB1MqsOl8LsWRmhLhgrcmBumMV++O3Fouvr1UQKmEDIGzpRFivW2ootPX3gxedqZUgZVRQXpdNPOEcLcxxp5lsfC2M0VrpwhVrV1qOw5VLV1/Ce+rpzBlM8gugSkLFkYsdAjEaGwXoKFDoHWMIgeLQYO3nSn8HcjQNn9HcqxiwmZg/cFMtedKUzYDzw7zxZ3iJqVRQ6yXDVYM9cboYEethf7BlHK8fkQ1FdnZ0givjw/CtP7qfUwM3UD+vCgKYxUMFPVFRkUrpm9JBItBQ+LrI+FgYfSksPinFhYEQeCtP7OwP7kcZhwmjq6JR4CjOYRiKdYfysCp+zWg0YCPZCYon5/LVcloWDXcB6+PCwKdTkOnUIwfrhTil5vFEEkIsBl0rBrugzUJ6tUeUik5O1+xJ7VX70MOIxYdzyf4IczNEs6WxjiRSTrbCcRS0GnA/FgPvDImALZmHAjFUjR0CFDH5aOujU/+bCd/r+fKLufy1UZ8a4KFjIAqIQhUt3bpbAWGu1lSeRqRHtZwszZWOnjfOfaAKuy+WzAA9mYcJZvrgvp2vU5U2uBiaYSDqwYZbCVMEASaeUKFQoOHkkZyl1va1Kl1QTTnMOFtT45RqmQLhyYEOJrB0pilxB9QhzEhjlga74UYLxuKN0MQBJ7Zew+Xcuqo52UyaD1elOg04POZ4UpeIuoKi59vFKkUkEdWD0KUJ2ko1sITYuw3N9DQLsCqYT6YEOaMeT/dhkAsxcoh3nhncggAcld+q6ARW64VqZUn2plxsGywF0YGOSDI6VEeSFp5C94//pBSRQU6muODqf0M8i7g8kU496AWxzKqcLu4iSrcmXQadd5p6RQqyQ0VoYmoqQgWgwY2g94rxcE/Cf1cLBDjZYMQZwtKtqppvCOVEqhq7aJUKvl1HSisb0dBfQc6NXweDDoNXrYm8HMwQ1YVV+NxE+9rCxtTNs5l1VIdTy9bEywf4o3ZUW4aOxASKYGF2++oRC8A5Cbu/Sn9EOZqiQvZdfjw5EOd40FNSHt3DGx0jCHVYfa2JKSWtWDtCD9sGBf4pLD4pxYWcu4EjQbsWBKNkUGO4AnEeO7Xe7hZ0AgWg4av5/VHnLcthm+6qvKFP/zcIMR42YAgCJzLqsXHClr4hEB7vD9FfbZHp1CMP+5VqrhyqoOFERNhbpaobeNrtMnVBA6TDjaDrrK7XTfaH2sS/PQibnYKxY8KjXay20EWHQLUcvmobO7ssW/DiEB7JdWLo7kR7M05EEmkKG3qxAY9SILmRkyKTBnkZI5diaXIq2sHg07D/Bh3pJe3qsyPteHHp6N6LTeUSMnCqnuXI7u6DY0d+neKdGH9mABMDHOGr72p2tfbzhdhx60SKlpeG2xN2WAx6AZnVphzmNg4KwyTwpxBo5FjvOGbrqoYbykWIC8dSMfxjGr42pti+5IYzPnxNho7BBgV5ICfF0cryUG/uVSg4miqjmfjamWMcDdLpJa1UNwccw4TL48JwKJBnnq1mwViCa7mNuB4RhUu59YrFYdhrpYwkUWCP6hqe5SXw6BjTIgjZkW5Is7bFjyhGI3tQtyvbMW5h7V6p5H+nfh4eihFUrQyYcHalCQtmrAZSt+r1k4hCuo7kFPD1evcBZB/F5LI+cgfQ1fBUd3WhYL6DhTWdVDhbYX1HT3iYgwLsEdmRSs1zrI0ZuGpOA8sGeSlUVbfPbnUEMyNdsOywd5UoXssvQqv/pGpsgHK+2S8wRETciM8KxMWbr8xiuocPiks+gB9VVjcyG/A0l3JkBLAWxOD8OwwX7TwhFi2OwUZFa0wYTPw06Io0EBTSQR1tjTCmReHwtqUrXbs8f6UELWks9o2Pn64WqAxv0MRgY7mMDNigicQK7XILYyYmBLhgllRbhjgbgUuX6xsBCbz5yhr6lQ7EumOhXEe8LEnDaZ89eAG1LR1Ia2slXKyfFjF1fk8dmYccJh01Lfze91hAMjdQ0KgA0YEOqCfiwXoMl7KK4cycEyN5NDciIkXRvphSbwXOEwGqlu78PT2uzrHJosGeuLtScE9ImgC5Ekyu4ZLkS5TS1v0+pvowswBrhjgYUUZgzlZGIFOp6GtU4RdSSX49nKBQc59csJfd7R1ifDtpQK1hm+GYE2CL14bHwTg0cmRTiM5SR+fzkFODRdBTub4Y3U8zDhMFDd04LvLBTieWU29j0nhznh5tD/8HEizqNo2Pq7k1uNKbh2u5zeo/V69Oi4Qc6LdtPIWpFICd0qacCKjGicyqzXulv/tCHO1xLLBXpgU7gwOk6HRi0QffHMpH99cKoClMQsXXx4GNpNOhaoVKBQD2pJcXa2Mya6GrNAIcCTHHpoKDoIgUMvly7ob7UpBbj2xQmfSaZgS4YIVQ7xVCKoCsQSHUirwrh7FE5NOw6Y54UgIcNBIhk4qasSqffeUXqe9OQfJb40yaAMjkRJI2HwVFc1d+GR6KN6ROZk+KSz6AH1RWBQ1dGD6lkS088WYHeWGTbPDUcvlY9GOZBTWd1DWu0fTqvDbXeUiQM616BJJVMYezw33wWo1Y4+sqja8fuS+Tva0hRGTshMvbuygTpYMOg0JAfaYFeWGkUEOei10YokUVa1dFI+jqIGHwvp2nS11NpMOb1tSbuduYwK+SCIzixGhoK5dbfvP1pSNAR7WiJRFhYe7Waq0Gxs7BMiqasPSPvamYDPosDVja2xLDvGzw2czwuBuY6z2IBaKpfjiXK5OLoKrlTEOPDtQ58iknssnCZcFDbhV0KjCZXG1Mka8ry1MZbvuP+5V6niHfYPuRNjfV8bhqe2PCmbFZFdtaOoQIOqTSwY/v7edKV4dF4h3j2WhiSfEc8N9UdTQgYvZdbAzY+PY84MhlQLfXSnA0bRKqiMwrp8j1o0OQLCz+mM9qagRbxx5oGQ2pw5mHCZivKzhZm0CLl+Eu8XNvUoU7UtYGrPgaWsCd2sTgAac1tNgTB9cWj9crYNoTwuLrKo2TN+SCLGUwLfz+2Naf1eNt5V3OOQFR34dOerQp+CQFxpyyaqmCHiCIFDfLlAqaO6WNBnsq5IQaI+mDqHaXBNNcLY0wjuTQmQZOdoLhPy6dizblaI0vlEkYuqLXYkl+PBkNnzsTKmN0ZPCog/Q28KitVOIGVuTUNLIQ7SnNX57Jg6VLV1YvCMZVa1dcLY0wqbZESpdCgA4/vxghLtZqh17fDCln1JaqURK4HJOHZ5VSJ9UBxoNsDZhg8WgoVMoUapq5QYwUyNc1MqQeoqq1i68fDADySWGE0YVMa2/C2ZHuSHe95FLoERKekgoOlRm13A1nkxsTNkKQVtkaqdirPq2hZFo4gllIxhy/FLH5aO+XaCXS50ccgKqYvjcIzLqo8sTCxv14rzIRyYCsRTJJc24WdCAmwWNKgRMUzYDg3xtEeRkAQlBIKO8VauO3daUjTUj/DA62IGy8G7rFOGNo/d7RB60MGLC18EMPnZmqGrtVJofn183TOmz/n1lHOL97HQ+ZvdFqaatC5+dycXJTN0GVerww1MDkFjYiIMpFVRB4WRhhBVDvOFuQxYC3C7ZP74Y3C4R8uraeyRzfNywM2MjzNUSXnamlMRRLne0kskfrU3YKmMGOSRSAjfyG6igvb6Au40xfGSeHHIF06Idj5QL+hYWArEEU79PRF5dOyaGOWHLU5E9Ghm28MiC4xG/giwItCmRFAsOeZdDV8HR0CHA1xfz+0S2/+JIP42pu7HeNnhvcohK56P766njCrBw+x2lkfbSeC+MCHJAXRsftVw+Sht5KGzoQEFdh97+RupchHuLJ4WFARBJ/q+9e49q6s72AP49eYeEJBAg4Q0iLeKrIMUitp2pTLXal3o7Ha/toHW1Y6trdLy3M057tTPTZXXduePqtNer01kVZ+44tfUua1vbaccBtaWjgIhvHj5QUCC8jAlvSH73j4QjgYAET0gT92ctFnDOMfyyhZOdc36/ve1YlleMby+2IFqnxCers1Fn7sSyPMes7AnhKizPThzSLGdihBr7XpmFJms3fnWb2x7t3X3Ye7yWr3sxEplEBImIc7n8Gh4sx9P3RWFResyw79KE0NNnxxdn6rH2w5Ne+xkDcRyQqFe53H4oem0OIoLlLien/WXX+TH9+6P3YPUjycM+ZkdPn0vjn34GjRwTI9QwOeeGeHKpVKuU8kmGzc5clvCNBscB06K1mDUxDFqlFOaOXuR9Wz1iE66cSQYsTo/G7OQwl8qLJksX/nDk8qhvRWRP1CMuVIWrzmWTo5lcZtDIXYpu7Vp+P7KS9BA550v0v6ibO3rR2t6DKpPVpXvq1h9Od5YoluF3f68UrKT4d5GIA1KjHPN5IrVK6IKkCFZIwQGwMwYGAAxgYGDMsdyz/2vHPubY5jyWMeDajU7877ErHt0i7J8/pFfJwABYu/pwqantjmMvE4uQEBaEBL0KuiCpc6yO5wAG7Cu7Vbhq9sQw6IKkzufhfI6Dni+/Hbeec//zd4YDDAx2u+OzuaMXVSbrHS2TBRznZYVUNOD/w3GlzZOJ6P5kSWYsNi+aJuhj3rWJxaers5Fi1PC/yACcf8zM5ReZsVu/4Bs/Pce/q/rzC5lobe/hX8RCVTKEqWVD2o0/90AclmTG4d38i/jy3K13jPMmG/Hy95Igl4rAmGPuwX8XXBxVTwB39CoZFqVHI3tiGEQcN+g5DPzDdXxvd/7V3Nrm+tz749H/h9to7Uaps/jUaN/p52bF85f+q0xWHDhdf0f3oOUSkcsL7EsPTXA5+dgZQ963V/j9P86KdzynAc+x/zmXXGl1O5nV0d4aLo/Z0d3HX+3w5CrHeEgMU4GDY6zXzZ0jria5HY1C4nIybe/p82iuBSHE/3zv3nDsWp4p6GPedYnFwMuwhBDibf0rQjgO4MBBJHJ87r/QxnEcRBzAOb92fAaqTG23nfvhzrzJRqgVEnAARByHk7VmVJpu3WJ7MDkMCXqVczzOn+kc28CrWz/MiMFHxx1zeIIVEjz/QDw4zvGY7w64rD+4QZ8nEvRBmBCuRlK4CjEhjtLdfJw48F/DGavuXhs6e23o7LGjs9eGrl4bOnuc2wZ9f7Ozd8jqIjJUepwO+17JFvQxR/v6PfpasWREWqUUdsbGNBN5IImIQ7w+yOVE1H+yctnmPBFwcGzo3y4a8HVLW4/HDasmhKsQppKjosEyppNKpFaB1EgN9GqZ67j5kx3Q3m3jl1uOtXqhSiZGUoQaRo3CbfnneH0QlmTG8SfhgSd7l1j1n9uc20WDxnqxsQ2FF1vcdkDsFxuqRHpcCOrNXWMqaEbG15LMOERpFTh1zTykX84jKRFYlB6D7zv75TS3deNwZRMKKkz4uqrZZWljpcmKWUl6zEmJwCOTDG5LPVu7erH/ZB3yCqtH/bf4bEYslmUnuNTgGM7lpjbk5hWjtrUT5+ss+LdH70WKMRi1rR3O2imO+inROiU/QbA/qXCMrw//c3ho+wEAeCYjFpFaBaJ0Shi1CiilYjRZu1Feb8HZOsuIc2eutHTgSksHCoave0e8rM7su0nIdMVilF6bn4LW9l68X+hc7SERYeVDjtUeNsbwUUktfnPg9vMnBlLLJVgwNRKL0qNxf0KoR53/Buu12VFRb+WXe56oueG2SI9WKeWrWKbFhSBUJUNNa4fLpMrhCsy4K6SkUUiw4fFULE6PuaPxDyzpvWv5/Y7Ko81to1qCO9iCaZFYMTsRSWHq2zaqGqy1vQeFF5vxTZVj0uXgFQIRwXI8mByOB5PDEKlVoORKK/aU1NI7qACwMC0aEyPUCFXJEKqSQa+SQa+WI1Qlg0YhQa+Nobi6Ff8oNyG/wjTk7+teQzBCVFLUto5c3GygiRFqzEmJQGqUBnXmLlxtcSQDV1s6xlxoiRDAcb4+8+u5gj7mXXsrJHuiHn9anok6cxfKam8gv7wRhyoaRyx17KnvO4tcSSUibD980aMXPxEHzE4Ox+L0aDyaahxzO+bmtm5nYy5H7YjT18xDKlpyHHBPRDDS43VIjdIiWC5BZ68NFfUWlNdbUV5vGTYuMSFKl26dqZEavgImYwz/KG/Eps/P44qzVv+0GC02Pp6KjITQMT0fd03IztdZMP8dR8Oq6bE6vPnUZFxuakfeP6+4rbjojl4lQ5KzHseEcJXzazViQ5SQiEXo7rPh66pmfHaqDp+fqR+xH8ud9lnwF+6a5T2SEoGCikb++6nRWry1cKpjoh5zVJt8atu3/P6cSQa+sued0KtkeDA5DOHBcuwuquHn8kRpFfiPx1ORER+CvaXXsLOw2qNy9J4KtGqYJLCEqWVYMXsCHp8WyRfxClZIcOZXlFjcEXftft3p6OnDnN8dGfd3A8kRaiyeEYOn74setrLbcPpsdlQ0OK9GOJMJd/doNQoJ0uJCkKAPgkIqhkwiQq3zasSlpna3L5oysQj3GNWYZNTwrb8nRWqgVd7+nX53nw27vr2Cdwsu8peIn3R2AIzysAOgu8Ri4FWoS2/Nx6WmNmz6vJxvcBQkE7tMGp0QpoJKLvFozTkZKkwth0EjH7Js88HksCErDDzt1ujO9BgtMhNDUd3cgepmx/yDsRZM+/694fhBqhE3Onqw/fAlwTtkEvJdFiyX8G8WfZlY3HVzLH739yo+qRi8pM4b5k814uWHJ2JKtGbUa7tb2rpRVnOriuWp2ptD1i5zHJAUrkZokAxyqQhKqRhdfXaU11uG7SwYEiTlrz70JxFJ4epRlTV2Ry4R4ycPJ2FRegz+66tKfFRai09P1eHv5xuw8uEk/OShpDFdkfnnpWbsHFSYKum1L4YcN3gliqfzSQJBgj4I02J0mBajRYpRg7BgR20ErVLKF0xjjMHS2QeT1VHr44PimhFbxDe3dbutHeBu2eKdJhX/OjMOL2QnosnajQZLJ640d+BSUxsKLza7tBYfrUOVTTjkB+WyCbmdBH0QunrtHhVsG3gFuleAar5jdVddsRiuU91IMhNCkRIZjD8fvXrHYwQcE/0eudcx2Ss9TgelVIxKkxUnaswocy77vOKmFbBExEEpFUMhE0MhFUEqFqHe3OW2WArHAQl61ZACUwaNfNTJzVicvX4Tv/7sHF/FM0qrwPr5k/DEtMjb/txlecV+0T9hvETrlJgarUXdzU6cvnb7KzA7nkvHD1KNLmXX+xOKa+YOvqlZ/+fLTe0uKwoIISMLd7aHb++x3dHybyHNTAyFSi6BVMxBLOIg4jgccFZopVshArhdYlF0uQXPvV/k0SXW8GD5iGVmvwsUUhFSBtzG6G+6NVzlOW9jjOHzM/XY/EUFP4EtIz7E0QEwZvgKdHfLcmGZWISYUCViQ4IQy38O4r/XKqXDJmFXW9rx453FuOom8RwsSqsYcxM4Qoj/U0rFKH9znqCPSbdCBqht7cDLu094fN/2dklFpFaBhWnRWJQezTdBGqir14avzjXg7X9cQLVAl+mTwlV4dLKRvxqRoFeN2BxsvHEch8enRSFnkgHvfX0Z2w9fwvGrN/DktkL8S3oMXp1374jNnwJdvD4IGQmhmBqtRUyIEkqZGIwBtTc6UHixGTWtjv4t5fWWO1q6TEkFIXe30Zb+9oaATyysXb1Y8acSwSorKqViPDbFiMUzYvDABL3Li7q5o2fI3AihJ49damrH9gHrzrVKqXMdfYSznK77Tnq+8MOMWEyN1mL9vtMwWbqxt/Qa9jqba+lVMq/O4v+uuuDsvviBrwdCCCFeEtCJhc3OsHbPySHluMcia4Iei2fEYN4UI9RyCWx2hguNVpdW4Z52zgMctSxSI53zIKI0/FyIslozCsobkV/ROGITnpudvdhXdt2lXn+/xDAVHkmJwJxJEZgRHwK5xPOJlH02O2529uJGRy/MHT2ou9mFq83tqHautb/a0o7mNs8ThLsxqSCEkLtBQCcW//lVBfIHrL33VGKYCovTo/F0WjSC5VKcqL2B945cwokaM07Wmj2+GhGtU7rMheivDeGusNTcyUbMnWx02cYYQ/3NLhypakJ+eSMKKkwj1lWobm7H+4XVeH+Y1t8SEYekcDVkEhGutrQHbDMeQggh4ydgE4v/K72GPxy57PG/0ygkWDAtCvfFasEYcKLmBnJ3FrttbDUcqZjDPYZglwJTk4waj6tADsZxHKJ0SixMi8ZD94RjxexEZ6U+xxK9g25KW4+kz85oZQAhhBBBBdyqEEIIIYTcKjYolNG+fo+tMhIhhBBCiBtjSiy2bduGhIQEKBQKzJw5E8XFxUKPixBCCCF+yOPE4sMPP8S6devwxhtv4MSJE5g+fTrmzp2LxsaxT5IkhBBCSGDwOLHYunUrXnzxRSxfvhypqanYsWMHgoKCsHPnTm+MjxBCCCF+xKPEoqenB6WlpcjJybn1ACIRcnJycPToUbf/pru7GxaLxeWDEEIIIYHJo8SiubkZNpsNBoPBZbvBYEBDg/tuiZs3b4ZWq+U/YmNjxz5aQgghhNyW0CtCPOH1Oha//OUvsW7dOv57i8XileTCl0EkhBBCiINHiUVYWBjEYjFMJtdCTCaTCUaj0e2/kcvlkMvlYx8hIYQQQvyGR7dCZDIZZsyYgfz8fH6b3W5Hfn4+srKyBB8cIYQQQvyLx7dC1q1bh9zcXGRkZCAzMxNvv/022tvbsXz5cm+MjxBCCCF+xOPE4tlnn0VTUxM2btyIhoYG3Hffffjyyy+HTOgkhBBCyN0nYHqFEEIIIcR7qFcIIYQQQsYdJRaEEEIIEQwlFoQQQggRDCUWhBBCCBEMJRaEEEIIEQwlFoQQQggRDCUWhBBCCBEMJRaEEEIIEYzXu5sO1l+Py2KxjPePJoQQQsgY9b9u366u5rgnFlarFQC80jqdEEIIId5ltVqh1WqH3T/uJb3tdjvq6uoQHBwMjuMEe1yLxYLY2FjU1tZSqXAvojiPH4r1+KA4jw+K8/jwZpwZY7BarYiKioJINPxMinG/YiESiRATE+O1x9doNPRLOw4ozuOHYj0+KM7jg+I8PrwV55GuVPSjyZuEEEIIEQwlFoQQQggRTMAkFnK5HG+88QbkcrmvhxLQKM7jh2I9PijO44PiPD6+C3Ee98mbhBBCCAlcAXPFghBCCCG+R4kFIYQQQgRDiQUhhBBCBEOJBSGEEEIEEzCJxbZt25CQkACFQoGZM2eiuLjY10Pya5s3b8b999+P4OBgRERE4Omnn0ZlZaXLMV1dXVi1ahX0ej3UajUWL14Mk8nkoxH7vy1btoDjOKxdu5bfRjEWzvXr1/Hcc89Br9dDqVRi6tSpOH78OL+fMYaNGzciMjISSqUSOTk5uHDhgg9H7H9sNhs2bNiAxMREKJVKJCUl4c0333TpLUFx9tzXX3+NJ554AlFRUeA4Dvv373fZP5qYtra2YunSpdBoNNDpdFixYgXa2tq8M2AWAPbs2cNkMhnbuXMnO3fuHHvxxReZTqdjJpPJ10PzW3PnzmV5eXns7Nmz7OTJk2z+/PksLi6OtbW18cesXLmSxcbGsvz8fHb8+HH2wAMPsFmzZvlw1P6ruLiYJSQksGnTprE1a9bw2ynGwmhtbWXx8fFs2bJlrKioiF2+fJl99dVX7OLFi/wxW7ZsYVqtlu3fv5+dOnWKPfnkkywxMZF1dnb6cOT+ZdOmTUyv17MDBw6w6upqtnfvXqZWq9nvf/97/hiKs+e++OIL9vrrr7N9+/YxAOzjjz922T+amM6bN49Nnz6dHTt2jH3zzTds4sSJbMmSJV4Zb0AkFpmZmWzVqlX89zabjUVFRbHNmzf7cFSBpbGxkQFgR44cYYwxZjabmVQqZXv37uWPKS8vZwDY0aNHfTVMv2S1WllycjI7ePAge/jhh/nEgmIsnF/84hds9uzZw+632+3MaDSy3/72t/w2s9nM5HI5++CDD8ZjiAFhwYIF7IUXXnDZtmjRIrZ06VLGGMVZCIMTi9HE9Pz58wwAKykp4Y/529/+xjiOY9evXxd8jH5/K6SnpwelpaXIycnht4lEIuTk5ODo0aM+HFlguXnzJgAgNDQUAFBaWore3l6XuKekpCAuLo7i7qFVq1ZhwYIFLrEEKMZC+vTTT5GRkYFnnnkGERERSEtLwx//+Ed+f3V1NRoaGlxirdVqMXPmTIq1B2bNmoX8/HxUVVUBAE6dOoXCwkI89thjACjO3jCamB49ehQ6nQ4ZGRn8MTk5ORCJRCgqKhJ8TOPehExozc3NsNlsMBgMLtsNBgMqKip8NKrAYrfbsXbtWmRnZ2PKlCkAgIaGBshkMuh0OpdjDQYDGhoafDBK/7Rnzx6cOHECJSUlQ/ZRjIVz+fJlbN++HevWrcNrr72GkpIS/PSnP4VMJkNubi4fT3fnEYr16K1fvx4WiwUpKSkQi8Ww2WzYtGkTli5dCgAUZy8YTUwbGhoQERHhsl8ikSA0NNQrcff7xIJ436pVq3D27FkUFhb6eigBpba2FmvWrMHBgwehUCh8PZyAZrfbkZGRgbfeegsAkJaWhrNnz2LHjh3Izc318egCx0cffYTdu3fjr3/9KyZPnoyTJ09i7dq1iIqKojjfRfz+VkhYWBjEYvGQmfImkwlGo9FHowocq1evxoEDB3Do0CGXdvdGoxE9PT0wm80ux1PcR6+0tBSNjY1IT0+HRCKBRCLBkSNH8M4770AikcBgMFCMBRIZGYnU1FSXbZMmTUJNTQ0A8PGk88idefXVV7F+/Xr86Ec/wtSpU/H888/jZz/7GTZv3gyA4uwNo4mp0WhEY2Ojy/6+vj60trZ6Je5+n1jIZDLMmDED+fn5/Da73Y78/HxkZWX5cGT+jTGG1atX4+OPP0ZBQQESExNd9s+YMQNSqdQl7pWVlaipqaG4j9KcOXNw5swZnDx5kv/IyMjA0qVL+a8pxsLIzs4esly6qqoK8fHxAIDExEQYjUaXWFssFhQVFVGsPdDR0QGRyPVlRSwWw263A6A4e8NoYpqVlQWz2YzS0lL+mIKCAtjtdsycOVP4QQk+HdQH9uzZw+RyOdu1axc7f/48e+mll5hOp2MNDQ2+Hprfevnll5lWq2WHDx9m9fX1/EdHRwd/zMqVK1lcXBwrKChgx48fZ1lZWSwrK8uHo/Z/A1eFMEYxFkpxcTGTSCRs06ZN7MKFC2z37t0sKCiI/eUvf+GP2bJlC9PpdOyTTz5hp0+fZk899RQtg/RQbm4ui46O5peb7tu3j4WFhbGf//zn/DEUZ89ZrVZWVlbGysrKGAC2detWVlZWxq5evcoYG11M582bx9LS0lhRURErLCxkycnJtNz0dt59910WFxfHZDIZy8zMZMeOHfP1kPwaALcfeXl5/DGdnZ3slVdeYSEhISwoKIgtXLiQ1dfX+27QAWBwYkExFs5nn33GpkyZwuRyOUtJSWHvvfeey3673c42bNjADAYDk8vlbM6cOayystJHo/VPFouFrVmzhsXFxTGFQsEmTJjAXn/9ddbd3c0fQ3H23KFDh9yej3Nzcxljo4tpS0sLW7JkCVOr1Uyj0bDly5czq9XqlfFS23RCCCGECMbv51gQQggh5LuDEgtCCCGECIYSC0IIIYQIhhILQgghhAiGEgtCCCGECIYSC0IIIYQIhhILQgghhAiGEgtCCCGECIYSC0IIIYQIhhILQgghhAiGEgtCCCGECIYSC0IIIYQI5v8B5Ka5TMj/4r4AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"predictors = ['appl']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.010048066606673962\n",
" Predictor coefficient\n",
"0 appl 0.04191\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.1090\n",
" Mean Absolute Error (MAE) : 0.0447\n",
" Mean Percentage Error (MPE) : -17606.2312\n",
"Mean Absolute Percentage Error (MAPE) : 17620.2063\n"
]
}
],
"source": [
"scaler = preprocessing.MinMaxScaler()\n",
"d = scaler.fit_transform(timing_df)\n",
"normalized_df = pd.DataFrame(d, columns=timing_df.columns)\n",
"\n",
"predictors = ['appl']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = normalized_df[predictors]\n",
"overall_y = normalized_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Load"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 445536.13965568773\n",
" Predictor coefficient\n",
"0 load -1015.396933\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 442633.9662\n",
" Mean Absolute Error (MAE) : 186136.1892\n",
" Mean Percentage Error (MPE) : -3308.5538\n",
"Mean Absolute Percentage Error (MAPE) : 3331.5614\n"
]
}
],
"source": [
"predictors = ['load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## All Vars"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Overall Runtime"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -58054.89252320345\n",
" Predictor coefficient\n",
"0 nodes -872.584718\n",
"1 exploit 49.805953\n",
"2 appl 1575.244214\n",
"3 load -68.075156\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 189043.5348\n",
" Mean Absolute Error (MAE) : 82436.8687\n",
" Mean Percentage Error (MPE) : 334.3634\n",
"Mean Absolute Percentage Error (MAPE) : 1191.8060\n"
]
}
],
"source": [
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 0"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.0\n",
" Predictor coefficient\n",
"0 nodes 0.0\n",
"1 exploit 0.0\n",
"2 appl 0.0\n",
"3 load 0.0\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
"Root Mean Squared Error (RMSE) : 0.0000\n",
" Mean Absolute Error (MAE) : 0.0000\n"
]
}
],
"source": [
"# Linear Regression - Task 0\n",
"t0_outcome = 'task0'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t0_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t0_lm = LinearRegression()\n",
"t0_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t0_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t0_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t0_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 1"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -8930.11863104882\n",
" Predictor coefficient\n",
"0 nodes -232.287083\n",
"1 exploit 18.859014\n",
"2 appl 151.902207\n",
"3 load -7.775745\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 19547.1452\n",
" Mean Absolute Error (MAE) : 11878.2487\n",
" Mean Percentage Error (MPE) : 766.9344\n",
"Mean Absolute Percentage Error (MAPE) : 912.9252\n"
]
}
],
"source": [
"# Linear Regression - Task 1\n",
"t1_outcome = 'task1'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t1_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t1_lm = LinearRegression()\n",
"t1_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t1_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t1_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t1_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 2"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -33033.61791812297\n",
" Predictor coefficient\n",
"0 nodes 98.141525\n",
"1 exploit 28.211256\n",
"2 appl 1191.485769\n",
"3 load -114.265223\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 164019.5175\n",
" Mean Absolute Error (MAE) : 67768.4301\n",
" Mean Percentage Error (MPE) : 14109.3156\n",
"Mean Absolute Percentage Error (MAPE) : 40718.5528\n"
]
}
],
"source": [
"# Linear Regression - Task 2\n",
"t2_outcome = 'task2'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t2_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t2_lm = LinearRegression()\n",
"t2_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t2_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t2_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t2_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 3"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 64.74568294128446\n",
" Predictor coefficient\n",
"0 nodes 20.863592\n",
"1 exploit -0.002906\n",
"2 appl -0.027356\n",
"3 load 0.227492\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 95.9494\n",
" Mean Absolute Error (MAE) : 80.7147\n",
" Mean Percentage Error (MPE) : -48.7684\n",
"Mean Absolute Percentage Error (MAPE) : 77.1556\n"
]
}
],
"source": [
"# Linear Regression - Task 3\n",
"t3_outcome = 'task3'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t3_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t3_lm = LinearRegression()\n",
"t3_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t3_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t3_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t3_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 4"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 346.4317371043873\n",
" Predictor coefficient\n",
"0 nodes -2.648924\n",
"1 exploit 0.000311\n",
"2 appl 0.000503\n",
"3 load -0.696739\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
"Root Mean Squared Error (RMSE) : 150.2358\n",
" Mean Absolute Error (MAE) : 111.7243\n"
]
}
],
"source": [
"# Linear Regression - Task 4\n",
"t4_outcome = 'task4'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t4_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t4_lm = LinearRegression()\n",
"t4_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t4_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t4_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t4_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 5"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 3.2276550472205336\n",
" Predictor coefficient\n",
"0 nodes -0.344255\n",
"1 exploit 0.000049\n",
"2 appl 0.001636\n",
"3 load -0.001017\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
"Root Mean Squared Error (RMSE) : 1.8391\n",
" Mean Absolute Error (MAE) : 1.4637\n"
]
}
],
"source": [
"# Linear Regression - Task 5\n",
"t5_outcome = 'task5'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t5_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t5_lm = LinearRegression()\n",
"t5_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t5_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t5_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t5_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Nonlinear Regression"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random Forest"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Nodes"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['nodes']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 12, 1)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exploit"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['exploit']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 49152, 10)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Applicable"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['appl']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 100, 10)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 400, 10)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gradient Boosting Classifier"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The mean squared error (MSE) on test set: 359835092.9070\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"params = {\n",
" \"n_estimators\": 500,\n",
" \"max_depth\": 4,\n",
" \"min_samples_split\": 5,\n",
" \"learning_rate\": 0.01,\n",
" \"loss\": \"squared_error\",\n",
"}\n",
"\n",
"reg = GradientBoostingRegressor(**params)\n",
"reg.fit(train_X, train_y)\n",
"\n",
"mse = mean_squared_error(valid_y, reg.predict(valid_X))\n",
"print(\"The mean squared error (MSE) on test set: {:.4f}\".format(mse))\n",
"\n",
"\n",
"test_score = np.zeros((params[\"n_estimators\"],), dtype=np.float64)\n",
"for i, y_pred in enumerate(reg.staged_predict(valid_X)):\n",
" test_score[i] = mean_squared_error(valid_y, y_pred)\n",
"\n",
"fig = plt.figure(figsize=(6, 6))\n",
"plt.subplot(1, 1, 1)\n",
"plt.title(\"Deviance\")\n",
"plt.plot(\n",
" np.arange(params[\"n_estimators\"]) + 1,\n",
" reg.train_score_,\n",
" \"b-\",\n",
" label=\"Training Set Deviance\",\n",
")\n",
"plt.plot(\n",
" np.arange(params[\"n_estimators\"]) + 1, test_score, \"r-\", label=\"Test Set Deviance\"\n",
")\n",
"plt.legend(loc=\"upper right\")\n",
"plt.xlabel(\"Boosting Iterations\")\n",
"plt.ylabel(\"Deviance\")\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Polynomial Regressionwhat is considered high VIF"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x6fd6c48aed70>]"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"plt_mean_squared_error = []\n",
"deg_range = range(1,21)\n",
"for degree in deg_range:\n",
" poly = PolynomialFeatures(degree = degree)\n",
" X_poly = poly.fit_transform(train_X)\n",
" poly.fit(X_poly, train_y)\n",
"\n",
" regression_model = LinearRegression()\n",
" regression_model.fit(X_poly, train_y)\n",
" y_pred = regression_model.predict(X_poly)\n",
" plt_mean_squared_error.append(mean_squared_error(train_y, y_pred, squared=False))\n",
"\n",
"\n",
"plt.scatter(deg_range,plt_mean_squared_error, color=\"green\")\n",
"plt.plot(deg_range,plt_mean_squared_error, color=\"red\")"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## SVR"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"439524.8341302504"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# SVR\n",
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"param_grid = {'C': [0.1,1, 10, 100, 1000], 'gamma': [1,0.1,0.01,0.001,0.0001], 'kernel': ['rbf']}\n",
"grid = GridSearchCV(SVR(),param_grid,refit=True,verbose=0)\n",
"grid.fit(train_X,train_y)\n",
"\n",
"grid_predictions = grid.predict(valid_X)\n",
"\n",
"mean_squared_error(valid_y, grid_predictions, squared=False)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.10"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}
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