{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Proportion analysis using scanpro"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"A notebook to test the scanpro tool.\n",
"\n",
"The dataset used in this tutorial is a simulated dataset with three conditions and five cell clusters. The proportions of these clusters do not change significantly across conditions."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import anndata as ad\n",
"import numpy as np\n",
"\n",
"from scanpro import scanpro, anova, t_test\n",
"from scanpro.linear_model import create_design\n",
"from scanpro.get_transformed_props import get_transformed_props"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Set seed to make simulations reproducible\n",
"np.random.seed(1)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"-------------"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load anndata"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"AnnData object with n_obs × n_vars = 37079 × 10\n",
" obs: 'sample', 'cluster', 'group'"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adata = ad.read_h5ad('scanpro_tutorial.h5ad')\n",
"adata"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"The anndata.obs table has to include 3 columns, for example:\n",
" - sample\n",
" - biological condition / group\n",
" - clusters/celltypes"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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" sample cluster group\n",
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"cell_3 S1 c1 cond_1\n",
"cell_4 S1 c1 cond_1\n",
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"\n",
"[37079 rows x 3 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adata.obs"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"--------------"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Run scanpro\n",
"* You can use the wrapper function \"scanpro\". \n",
"* Parameters are:\n",
" - anndata object\n",
" - clusters: name of clusters/celltypes column in obs table\n",
" - sample: name of sample column in obs table\n",
" - cond: name of condition/group column in obs table\n",
" - transform: type of transformation; logit or arcsin, default is logit"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There are more than 2 conditions. ANOVA will be performed...\n",
"Done!\n"
]
},
{
"data": {
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" baseline_props mean_props_cond_1 mean_props_cond_2 \n",
"clusters \n",
"c1 0.409531 0.006399 0.007605 \\\n",
"c2 0.374093 0.043683 0.075932 \n",
"c3 0.156935 0.137301 0.157528 \n",
"c4 0.051161 0.401103 0.270136 \n",
"c5 0.008280 0.411515 0.488800 \n",
"\n",
" mean_props_cond_3 f_statistics p_values adjusted_p_values \n",
"clusters \n",
"c1 0.010391 1.015703 0.362148 0.452685 \n",
"c2 0.043750 1.907890 0.148393 0.370983 \n",
"c3 0.184273 0.503052 0.604682 0.604682 \n",
"c4 0.415870 2.019649 0.132702 0.370983 \n",
"c5 0.345716 1.347237 0.259957 0.433262 "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"out = scanpro(adata, clusters_col='cluster', samples_col='sample', conds_col='group', transform='logit')\n",
"\n",
"out.results"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"* the `scanpro` function generates a ScanproResult object that has the following methods:\n",
" - results: returns the results as a dataframe\n",
" - props: returns clusters proportions as a dataframe\n",
" - prop_trans: returns transformed proportions as a dataframe\n",
" - counts: returns counts as a dataframe\n",
" - design: returns the design matrix\n",
" - plot and plot_samples: for plotting"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
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"cluster c1 c2 c3 c4 c5\n",
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],
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"out.props"
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},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"-----------"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualisation of proportions for each condition in each cluster\n",
"* You can plot proportion per condition using `out.plot()` function. Parameters are:\n",
" - kind: kind of plot: `stripplot`, `barplot` or `boxplot`\n",
" - clusters: specify which clusters you want to plot, default is all\n",
" - save: path to where you want to save the plot\n",
"* or `out.plot_samples()` to plot a bar plot of proportions of clusters in samples. Parameters are:\n",
" - stacked: True for stacked bar plot\n",
" - x: Whether samples or clusters should be on the x axis\n",
" - save: path to where you want to save the plot"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"out.plot()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"* You can use `kind` to set different styles for the plot:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"out.plot()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"---------------"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bootstrapping method\n",
"* The bootstrapping method splits the original samples into `n_reps` replicated and run the analysis on the simulated samples.\n",
"* The bootstrapping method will run for non-replicated datasets in the following scenarios:\n",
" - If the number of samples in samples_col is equal to the number of conditions in conds_col\n",
" - If samples_col is not given or set to None, the dataset is assumed to be not replicated \n",
" and scanpro will run the bootstrapping method by setting conds_col temporarily as samples_col"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Your data doesn't have replicates! Artificial replicates will be simulated to run scanpro.\n",
"Simulation may take some minutes...\n",
"Generating 8 replicates and running 100 simulations...\n",
"Finished 100 simulations in 10.57 seconds\n"
]
},
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
baseline_props
\n",
"
mean_props_cond_1
\n",
"
mean_props_cond_2
\n",
"
p_values
\n",
"
\n",
"
\n",
"
clusters
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
\n",
" \n",
" \n",
"
\n",
"
c1
\n",
"
0.409531
\n",
"
0.006574
\n",
"
0.013976
\n",
"
0.657169
\n",
"
\n",
"
\n",
"
c2
\n",
"
0.374093
\n",
"
0.045318
\n",
"
0.073735
\n",
"
0.429444
\n",
"
\n",
"
\n",
"
c3
\n",
"
0.156935
\n",
"
0.138966
\n",
"
0.143901
\n",
"
0.596598
\n",
"
\n",
"
\n",
"
c4
\n",
"
0.051161
\n",
"
0.402073
\n",
"
0.256700
\n",
"
0.110951
\n",
"
\n",
"
\n",
"
c5
\n",
"
0.008280
\n",
"
0.407068
\n",
"
0.511688
\n",
"
0.218473
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" baseline_props mean_props_cond_1 mean_props_cond_2 p_values\n",
"clusters \n",
"c1 0.409531 0.006574 0.013976 0.657169\n",
"c2 0.374093 0.045318 0.073735 0.429444\n",
"c3 0.156935 0.138966 0.143901 0.596598\n",
"c4 0.051161 0.402073 0.256700 0.110951\n",
"c5 0.008280 0.407068 0.511688 0.218473"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"out_boot = scanpro(adata,\n",
" clusters_col='cluster',\n",
" conds_col='group',\n",
" # no sample column given,\n",
" transform='arcsin',\n",
" n_reps=8, # number of replicates generated by bootstrapping\n",
" conditions=['cond_1', 'cond_2'] # optional: you can also specify conditions, or test all of them\n",
" )\n",
"\n",
"out_boot.results"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"* To plot the bootstrapping results, use the `plot` function"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dODs7lxgdderUKXTp0kXl47q5uZU45smTJ8t1zMpU0Tni999/R2pqKqytraGjowMdHR08ePAAs2bNgq2trUzdzMxMeHh4wMjICIcPH0adOnVktn/66adISUlBUlIS0tPTsWDBAjx58gR2dnbqeTGoVimaZ8nd3V2mXJl5lgoKCpCZmYkGDRqUWicrKwu5ubll1qlKk1dXdE6Qx9LSEjY2NjLvCdzd3XH37l2kpqYiLS0N//nPf5CUlCT3/zvfNxARUXXEkSpVyKVLl0o8b9GiBbS1tZUaxuvm5oYXL17gypUr6NSpEwDg8uXLePHiRakfEHV1ddGxY0fcunVLpvz27duwsbEptc2bN28iNzcXlpaWMuWCIGDHjh0YM2ZMiQ9UROXl5+cHT09PuLi4wM3NDVu3bkVCQgJ8fHwAFM51kpSUhJ07d4r7xMTEAABevnyJJ0+eICYmBrq6umJH4owZM9CjRw+sWLECQ4cOxU8//YRff/21Ss3zockc4enpib59+8qU9e/fH56envj888/FsoyMDPTv3x96eno4cuRIidXDiiv6sLZ9+3ZIpVL069evzPiJ5FHHPEurV6/Gq1ev8PHHH5dax9/fH02aNCnx/6C4ypy8GtBsTpAnPT0diYmJJd4TAIVf3gDAmTNnkJqaWqLjhO8biIio2hI0bOPGjYKtra2gp6cndOjQQfjtt9/KrH/u3DmhQ4cOgp6enmBnZyds2rRJZvuhQ4cEZ2dnoW7duoKBgYHQrl07YefOneVu922JiYkCACExMVGp/UrTs2dPwcjISJg5c6bw999/C3v27BEMDQ2FzZs3q3Q8Dw8P4f333xciIyOFyMhIoW3btsK//vUvmTqtWrUSfvjhB/H5Dz/8INSpU0fYunWr8M8//wjffvutoK2tLfz++++CIAjCnTt3hIULFwp//vmnEB8fLxw9elSwt7cXnJychLy8PJlj//rrrwIAITY2VqX4qeKo+9rVlI0bNwo2NjaCrq6u0KFDB+H8+fPitrFjxwo9e/aUqQ+gxMPGxkamzvfffy+0atVKqFOnjmBvby8cOnRIqZgq8rWtCjnibTY2NsLatWvF5xkZGYKrq6vQtm1b4c6dO0JycrL4KJ4jvv32WyEqKkq4deuWsGHDBkFfX19Yt26dSudB5Vfdc0JSUpIAQLh48aJM+eLFi4VWrVq9c/89e/YIBgYGwqlTp0qts2LFCqF+/frCX3/9Veax3rx5I7x48UJ8xMbG1tickJmZKcyaNUu4ePGiEB8fL5w9e1Zwc3MTmjRpImRkZIj7bN++XYiMjBTu3Lkj/Oc//xEaNGgg+Pn5lWif7xuqluqeF6q77OxsTYdARErQaKfKvn37hDp16ghhYWFCbGysMGPGDMHQ0FB48OCB3Pr37t0TDAwMhBkzZgixsbFCWFiYUKdOHeHgwYNinbNnzwo//PCDEBsbK9y5c0cICQkRtLW1hePHj6vcrjwV0akyZcoUwcfHRzAxMRHq168v+Pv7CwUFBSodLz09XRg9erRgbGwsGBsbC6NHjxaePXsmUweAsGPHDpmy8PBwoXnz5oJUKhXatWsn/Pjjj+K2hIQEoUePHkKDBg0EXV1doVmzZsL06dOF9PT0Eu2PGjVK6NKli0qxU8XiG6WKU9GdKlUhRxT3dqfK2bNn5XZeARDi4+PFep6enmIeef/99+V2fFPlqe45ITs7W9DW1i7RATh9+nShR48eZe67b98+QV9fX/jvf/9bap2VK1cKdevWFf7880+lY6vJOSErK0twd3cXzMzMhDp16gjW1tbC2LFjhYSEBJl95syZI5ibmwt16tQRWrRoIaxevVpujHzfULVU97xQlWRkZAiffvqpYGBgIFhYWAhr1qwRevbsKcyYMUOsY2NjIwQHBwtjx44VTExMhDFjxgiCIAgHDx4UHB0dBV1dXcHGxkZYtWqVzLEBCIcPH5Ypq1u3rvj/ND4+XgAg7N27V3BzcxP09PQER0dH4ezZs2XGXBSPp6enYGhoKFhbWws//vijkJqaKgwZMkQwNDQU2rRpUyIvXrhwQejevbsglUqF9957T/jiiy+Ely9fitv/85//CM7OzoKRkZFgbm4ujBo1Snj8+LG4veh9xK+//io4OzsL+vr6gpubm/D3338r+GoTaYZGO1U6deok+Pj4yJTZ29sL/v7+cuvPnj1bsLe3lymbNGmS0Llz5zLbcXJyEubNm6dyu/JURKdK8eRKVFH4RqniVPQHKOYIqgg1ISd06tRJmDx5skyZg4NDmX/X9+zZI0il0hIfSIr75ptvBBMTEyEyMlKluJgTqLqqCXmhqvDy8hJsbGyEX3/9Vbh+/brw4YcfCsbGxiU6VUxMTISVK1cK//zzj/DPP/8IV69eFbS0tIRFixYJt27dEnbs2CHo6+vLfNmhaKfKe++9Jxw8eFCIjY0VvLy8BGNjYyEtLa3UmG1sbIQGDRoImzdvFm7fvi1MnjxZMDY2Fjw8PIQDBw4It27dEoYNGyY4ODiInaT/+9//BCMjI2Ht2rXC7du3hQsXLghOTk7CuHHjxOOGh4cLx44dE+7evStERkYKnTt3FgYMGCBuL+pUcXV1Fc6dOyfcvHlT6N69OztcqcrT2JwqRRPL+fv7y5SXNbFcZGRkiYno+vfvj/DwcOTm5pa4B1cQBJw5cwa3bt3CihUrVG4XKJx8Ljs7W3yuzORzgiDgzZs3ZdYpKChAXl4eXr9+rfBxayKpVFruZXGJqqN35QnmiELMESSPsvMs7d27F2PGjMG6devQuXNnce4VfX191K1bFwDwzTffIDAwEHv27IGtra1Yp2iS14rGnPBuzAdU1WVmZuK7777Dnj170KdPHwCFEzIXzWdUXO/evWXmQRo9ejT69OmDwMBAAEDLli0RGxuLlStXYty4cUrFMW3aNIwYMQIAsGnTJhw/fhzh4eGYPXt2qfsMHDgQkyZNAgDMnz8fmzZtQseOHfHvf/8bADBnzhy4ubnh8ePHsLCwwMqVK/Hpp5/C19cXANCiRQusX78ePXv2xKZNmyCVSjF+/Hjx+E2bNsX69evRqVMnvHz5UiavLlmyRFx51N/fH4MGDcKbN2/KnKeNSJM01qmiysRyKSkpcuvn5eUhLS1NnBjtxYsXaNKkCbKzs6GtrY3Q0FBxAkRVJ7RTdfI5QRAwYcIE/O9//yuz3q1bt3Dr1q0Sk87VNu3atcO2bdv4JolqFUXyBHNEIeYIkmfkyJFIT0/HokWLkJycjDZt2uDYsWPiROvJyckyK9lt2bIFeXl5mDp1KqZOnSqWjx07FhEREQCA0NBQ5OTk4KOPPpJpKygoCAsWLKjQ82FOUAzzAVV19+7dQ25urjgBNADUrVsXrVq1KlHXxcVF5nlcXByGDh0qU9a1a1eEhIQgPz9f7rLkpXFzcxN/1tHRgYuLC+Li4src5/333xd/Lvrc1LZt2xJlqampsLCwQFRUFO7cuSOzHL0gCCgoKEB8fDwcHBwQHR2NBQsWICYmBk+fPkVBQQEAICEhQWYF0uJtF32+K1qBkKgq0vjqP2//IRQEocw/jvLqv11ubGyMmJgYvHz5EqdPn4afnx+aNm2KXr16qdxuQEAA/Pz8xOdJSUkllh+W582bN+/sUAEgN7nWRn/99RfevHkDfX19TYdCVGkUyRPMEYWYI6g0U6ZMwZQpU+RuK+ooKXLu3Ll3Hu/+/fvlD0pFzAmKYT6gqk7e55Ti5cUZGhqWqPOu/SQSSYmy3NxchWJ7V2dk8TsAiurKKyvqGCkoKMCkSZMwffr0EseytrbGq1ev4O7uDnd3d+zatQtmZmZISEhA//79kZOT8862i9ohqoo01qnSsGFDaGtrlxgdkpqaWmIUSRELCwu59XV0dGBqaiqWaWlpoXnz5gCA9u3bIy4uDsuWLUOvXr1UahcA9PT0oKenJz7PyMhQ7ESLOXnyJP/wl+L169clbu0iqo2YJ+RjjqDaijmhJOYDqi6aNWuGOnXq4MqVK7CysgJQ+Bnin3/+EW9vKY2joyP++OMPmbKLFy+iZcuW4igVMzMzJCcni9v/+ecfZGVllTjWpUuX0KNHDwBAXl4eoqKiMG3atHKd29s6dOiAmzdvip/B3nb9+nWkpaVh+fLl4mtx9epVtcZApCka61TR1dWFs7MzTp06hQ8//FAsP3XqVImhbkXc3Nzw888/y5SdPHkSLi4uJeZTKU4QBHE+FFXaVRd9fX2+MSKiMjFPEFFxzAlE1ZexsTHGjh2Lr776Cg0aNECjRo0QFBQELS2td44UmTVrFjp27Ijg4GCMHDkSkZGR2LBhA0JDQ8U6vXv3xoYNG9C5c2cUFBRgzpw5cj8Tbdy4ES1atICDgwPWrl2LZ8+eycxvog5z5sxB586dMXXqVHh7e8PQ0BBxcXE4deoUvv32W1hbW0NXVxfffvstfHx8cOPGDQQHB6s1BiJN0dJk435+fti2bRu2b9+OuLg4zJw5s8TEcmPGjBHr+/j44MGDB/Dz80NcXBy2b9+O8PBwmUmdli1bhlOnTuHevXv4+++/sWbNGuzcuROfffaZwu0SERERERGV15o1a+Dm5oZ//etf6Nu3L7p27QoHB4d3TrraoUMHHDhwAPv27UObNm0wf/58LFq0SGaS2tWrV8PKygo9evTAp59+ii+//BIGBgYljrV8+XKsWLEC7dq1w++//46ffvoJDRs2VOt5vv/++zh//jz++ecfdO/eHU5OTggMDBTnRDEzM0NERAS+//57ODo6Yvny5Vi1apVaYyDSFI3OqaLsxHJ2dnY4duwYZs6ciY0bN6Jx48ZYv369OJs1ALx69QpTpkzBw4cPoa+vD3t7e+zatQsjR45UuF0iIiIiIqLyMjY2lpm89dWrV1i4cCEmTpwolpU2h9OIESNkPue8rXHjxjhx4oRM2fPnz0vUc3BwUGpSa3nxvD13i62tbYmyjh074uTJk6Ued9SoURg1alSpx+3Vq1eJY7Zv317uHDREVYlE4FWqkocPH8LKygqJiYl47733Sq1XfElELv1XOr5OlUfRa5eUp+pry+v/3fgaVRzmhIrDnFAx+PpUPOYF9YmOjsbff/+NTp064cWLF1i0aBHOnTuHO3fuqH20yNvu378POzs7REdHo3379hXaFlFtpvHVf2o6iUTCe6EVwNeJajNe/+/G14hqE17vZePrQ9XNqlWrcOvWLXFux99//73CO1SIqPKwU4WIiIiIiKgCODk5ISoqSiNty7tFh4jUT6MT1RIRERERERERVVfsVCEiIiIiIiIiUgE7VYiIiIiIiIiIVMBOFSIiIiIiIiIiFXCiWtKYzbs7KFTPZ/S1Co6EiDQt6HvF8sHCfzMfUM3zZvYYhepJv9lZwZEQERGRsjhShYiIiIiIiIhIBexUISIiIiIi0hBbW1uEhIRoOgxSE/4+ax92qhARERERUZWTXyAg8m46fopJQuTddOQXCJoOSeO2bt2KXr16wcTEBBKJBM+fP9d0SArLL8jHnyl/4ti9Y/gz5U/kF+RrOiSNmzRpEpo1awZ9fX2YmZlh6NCh+PvvvzUdFimJc6oQEREREVGVcvxGMhb+HIvkF2/EMsu6UgQNdoRHG0sNRqZZWVlZ8PDwgIeHBwICAjQdjsJ+ffArll9ZjsdZj8UycwNz+HfyR1+bvhqMTLOcnZ0xevRoWFtb4+nTp1iwYAHc3d0RHx8PbW1tTYdHCuJIFSIiIiIiqjKO30jG5F3XZDpUACDlxRtM3nUNx28kV1jbBQUFWLFiBZo3bw49PT1YW1tjyZIlAIDr16+jd+/e0NfXh6mpKSZOnIiXL1+K+44bNw7Dhg3DqlWrYGlpCVNTU0ydOhW5ublindTUVAwePBj6+vqws7PD7t27lYrP19cX/v7+6Ny5s3pOuBL8+uBX+J3zk+lQAYDUrFT4nfPDrw9+rbC2q/rvc+LEiejRowdsbW3RoUMHLF68GImJibh//75azp8qB0eqEBERERFRlZBfIGDhz7GQd6OPAEACYOHPsejnaAFtLYna2w8ICEBYWBjWrl2Lbt26ITk5GX///bc4QqRz5874888/kZqaCi8vL0ybNg0RERHi/mfPnoWlpSXOnj2LO3fuYOTIkWjfvj28vb0BFH5QT0xMxJkzZ6Crq4vp06cjNTVV7edRVeQX5GP5leUQ5PxGBQiQQIIVV1bgA6sPoK2l/pEZ1en3+erVK+zYsQN2dnawsrJSx+lTJWGnChERERERVQlX4p+WGKFSnAAg+cUbXIl/CrdmpmptOzMzE+vWrcOGDRswduxYAECzZs3QrVs3hIWF4fXr19i5cycMDQ0BABs2bMDgwYOxYsUKmJubAwDq16+PDRs2QFtbG/b29hg0aBBOnz4Nb29v3L59G7/88gsuXboEV1dXAEB4eDgcHBzUeh5VybXUayVGqBQnQEBKVgqupV5DR4uOam27uvw+Q0NDMXv2bLx69Qr29vY4deoUdHV11fhKUEXj7T9EVC2FhobCzs4OUqkUzs7O+P3338usf/78eTg7O0MqlaJp06bYvHmzzPbc3FwsWrQIzZo1g1QqRbt27XD8+PGKPAUiIiJ6S2pm6R0qqtRTRlxcHLKzs9GnTx+529q1ayd+AAeArl27oqCgALdu3RLLWrduLTMXhqWlpThyIS4uDjo6OnBxcRG329vbo169emo/l6riSdYTtdZTRnX5fY4ePRrR0dE4f/48WrRogY8//hhv3qj/+qaKw04VIqp29u/fD19fX8ydOxfR0dHo3r07BgwYgISEBLn14+PjMXDgQHTv3h3R0dH4+uuvMX36dBw6dEisM2/ePGzZsgXffvstYmNj4ePjgw8//BDR0dGVdVpERES1XiNjqVrrKUNfX7/UbYIgQCKRf7tR8fI6deqU2FZQUCAe4+36NZ2ZgZla6ymjuvw+69atixYtWqBHjx44ePAg/v77bxw+fLhcx6TKxdt/SGN8Rl/TdAhUTa1ZswYTJkyAl5cXACAkJAQnTpzApk2bsGzZshL1N2/eDGtra4SEhAAAHBwccPXqVaxatQojRowAAPznP//B3LlzMXDgQADA5MmTceLECaxevRq7du2qnBOrxRb+m/mAai/pNzs1HQJRldHJrgEs60qR8uKN3HlVJAAs6krRya6B2ttu0aIF9PX1cfr0afE9RhFHR0d89913ePXqlTi64cKFC9DS0kLLli0VOr6DgwPy8vJw9epVdOrUCQBw69atarUssrI6NOoAcwNzpGalyp1XRQIJzA3M0aFRB7W3XV1/n4IgIDs7u1zHoMrFkSpEVK3k5OQgKioK7u7uMuXu7u64ePGi3H0iIyNL1O/fvz+uXr0qzuCenZ0NqVT2Wy99fX388ccfpcaSnZ2NjIwM8ZGZmanKKREREdH/p60lQdBgRwCFHSjFFT0PGuxYIZPUSqVSzJkzB7Nnz8bOnTtx9+5dXLp0CeHh4Rg9ejSkUinGjh2LGzdu4OzZs/jiiy/g6ekpzr/xLq1atYKHhwe8vb1x+fJlREVFwcvLq8wRFW9LSUlBTEwM7ty5A6BwBZuYmBg8ffpUpXOuaNpa2vDv5A+gsAOluKLnczrNqZBJaqv67/PevXtYtmwZoqKikJCQgMjISHz88cfQ19cXv+Sj6oGdKkRUraSlpSE/P7/EHzxzc3OkpKTI3SclJUVu/by8PKSlpQEo7GRZs2YN/vnnHxQUFODUqVP46aefkJxc+rKNy5YtQ926dcWHo6NjOc+OiIiIPNpYYtNnHWBRV/bLDou6Umz6rAM82lhWWNuBgYGYNWsW5s+fDwcHB4wcORKpqakwMDDAiRMn8PTpU3Ts2BEfffQR+vTpgw0bNih1/B07dsDKygo9e/bE8OHDMXHiRDRq1Ejh/Tdv3gwnJydx9ZkePXrAyckJR44cUSqOytTXpi/W9FqDRgay52luYI41vdagr03fCmu7Kv8+pVIpfv/9dwwcOBDNmzfHxx9/DENDQ1y8eFGpa4I0TyIU3QxGSnn48CGsrKyQmJiI9957T9PhECmsul+7jx49QpMmTXDx4kW4ubmJ5UuWLMF//vMf/P333yX2admyJT7//HMEBASIZRcuXBCX1rOwsMCTJ0/g7e2Nn3/+GRKJBM2aNUPfvn2xY8cOZGVlyY0lOztbZnhmUlISHB0dq+1rS7VTdc8JVRlfW6quqsq1m18g4Er8U6RmvkEj48JbfipihApVjvyCfFxLvYYnWU9gZmCGDo06VMgIFaLKxjlViKhaadiwIbS1tUuMSklNTS11uKaFhYXc+jo6OjA1LVyO0czMDD/++CPevHmD9PR0NG7cGP7+/rCzsys1Fj09Pejp6YnPMzIyVD0tIiIieou2lkTtyyaT5mhraat92WSiqoC3/xBRtaKrqwtnZ2ecOnVKpvzUqVPo0qWL3H3c3NxK1D958iRcXFxKzOoulUrRpEkT5OXl4dChQxg6dKh6T4CIiIhIjt27d8PIyEjuo3Xr1poOj5TE32ftwZEqRFTt+Pn5wdPTEy4uLnBzc8PWrVuRkJAAHx8fAEBAQACSkpKwc2fhiho+Pj7YsGED/Pz84O3tjcjISISHh2Pv3r3iMS9fvoykpCS0b98eSUlJWLBgAQoKCjB79myNnCMRERHVLkOGDIGrq6vcbW9/CURVH3+ftQc7VYio2hk5ciTS09OxaNEiJCcno02bNjh27BhsbGwAAMnJyUhISBDr29nZ4dixY5g5cyY2btyIxo0bY/369eJyygDw5s0bzJs3D/fu3YORkREGDhyI//znP6hXr15lnx4RERHVQsbGxjA2NtZ0GKQm/H3WHuxUIaJqacqUKZgyZYrcbRERESXKevbsiWvXrpV6vJ49eyI2NlZd4RERERERUS3AOVWIiIiIiIiIiFTAThUiIiKq9kJDQ2FnZwepVApnZ2f8/vvvpdb94Ycf0K9fP5iZmcHExARubm44ceJEiXqHDh2Co6Mj9PT04OjoiMOHD1fkKRAREVE1xE4VIiIiqtb2798PX19fzJ07F9HR0ejevTsGDBggM7dScb/99hv69euHY8eOISoqCh988AEGDx6M6OhosU5kZCRGjhwJT09P/PXXX/D09MTHH3+My5cvV9ZpERERUTUgEQRB0HQQ1dHDhw9hZWWFxMREvPfee5oOh0hhvHYrDl9bqo5qwnXr6uqKDh06YNOmTWKZg4MDhg0bhmXLlil0jNatW2PkyJGYP38+gMIJsTMyMvDLL7+IdTw8PFC/fn2ZlcPKUhNeW6qdeO0SESmOI1WIiIio2srJyUFUVBTc3d1lyt3d3XHx4kWFjlFQUIDMzEw0aNBALIuMjCxxzP79+5d5zOzsbGRkZIiPzMxMJc6EiGorW1tbhISEaDoMIlIRO1WIiIio2kpLS0N+fj7Mzc1lys3NzZGSkqLQMVavXo1Xr17h448/FstSUlKUPuayZctQt25d8eHo6KjEmRARle3p06f44osv0KpVKxgYGMDa2hrTp0/HixcvNB0aUa3GThUiIiKq9iQSicxzQRBKlMmzd+9eLFiwAPv370ejRo3KdcyAgAC8ePFCfHCZdqJyKsgH4n8Hrh8s/LcgX9MRadSjR4/w6NEjrFq1CtevX0dERASOHz+OCRMmaDo0olpN450qyszWDwDnz5+Hs7MzpFIpmjZtis2bN8tsDwsLQ/fu3VG/fn3Ur18fffv2xZUrV2TqLFiwABKJROZhYWGh9nMjIiKiitWwYUNoa2uXGEGSmppaYqTJ2/bv348JEybgwIED6Nu3r8w2CwsLpY+pp6cHExMT8WFsbKzk2RCRKPYIENIG+O5fwKEJhf+GtCksr0AFBQVYsWIFmjdvDj09PVhbW2PJkiUAgOvXr6N3797Q19eHqakpJk6ciJcvX4r7jhs3DsOGDcOqVatgaWkJU1NTTJ06Fbm5uWKd1NRUDB48GPr6+rCzs8Pu3bsVjq1NmzY4dOgQBg8ejGbNmqF3795YsmQJfv75Z+Tl5anvRSAipWi0U0XZ2frj4+MxcOBAdO/eHdHR0fj6668xffp0HDp0SKxz7tw5jBo1CmfPnkVkZCSsra3h7u6OpKQkmWO1bt0aycnJ4uP69esVeq5ERESkfrq6unB2dsapU6dkyk+dOoUuXbqUut/evXsxbtw47NmzB4MGDSqx3c3NrcQxT548WeYxiUhNYo8AB8YAGY9kyzOSC8srsGMlICAAK1asQGBgIGJjY7Fnzx6Ym5sjKytLnKz6zz//xPfff49ff/0V06ZNk9n/7NmzuHv3Ls6ePYvvvvsOERERiIiIELePGzcO9+/fx5kzZ3Dw4EGEhoYiNTVV5XhfvHgBExMT6OjoqHwMIionQYM6deok+Pj4yJTZ29sL/v7+cuvPnj1bsLe3lymbNGmS0Llz51LbyMvLE4yNjYXvvvtOLAsKChLatWunVKxv3rwRXrx4IT5iY2MFAEJiYqJSxyHStMTERF67FYSvLVVHNeG63bdvn1CnTh0hPDxciI2NFXx9fQVDQ0Ph/v37giAIgr+/v+Dp6SnW37Nnj6CjoyNs3LhRSE5OFh/Pnz8X61y4cEHQ1tYWli9fLsTFxQnLly8XdHR0hEuXLikcV014bal20ui1m58nCKvtBSHIpJRHXUFY7VBYT80yMjIEPT09ISwsrMS2rVu3CvXr1xdevnwplh09elTQ0tISUlJSBEEQhLFjxwo2NjZCXt7/xfbvf/9bGDlypCAIgnDr1i0BgEweiYuLEwAIa9euVTretLQ0wdraWpg7d67S+xKR+misS7Notn5/f3+Z8rJm6y9tJv7w8HDk5uaiTp06JfbJyspCbm6uzIz+APDPP/+gcePG0NPTg6urK5YuXYqmTZuWGu+yZcuwcOFCRU+PiIiIKsnIkSORnp6ORYsWITk5GW3atMGxY8dgY2MDAEhOTpYZBbtlyxbk5eVh6tSpmDp1qlg+duxY8RvlLl26YN++fZg3bx4CAwPRrFkz7N+/H66urhV+PsmLnd9Zx3JeVIXHQaQRDy6WHKEiQwAykgrr2XVXa9NxcXHIzs5Gnz595G5r164dDA0NxbKuXbuioKAAt27dEm8NbN26NbS1tcU6lpaW4oj4uLg46OjowMXFRdxub2+PevXqKR1rRkYGBg0aBEdHRwQFBSm9PxGpj8Y6VVSZrb+0mfjz8vKQlpYGS0vLEvv4+/ujSZMmMvdKu7q6YufOnWjZsiUeP36MxYsXo0uXLrh58yZMTU3lth0QEAA/Pz/xeVJSEmf1JyIiqiKmTJmCKVOmyN1WfOg9UHirsCI++ugjfPTRR+WMjIiU8vKxeuspQV9fv9RtQhkTVRcvf/tLXolEgoKCAvEYb9dXRWZmJjw8PGBkZITDhw/L/WKZiCqPxieqVXZmfXn15ZUDwDfffIO9e/fihx9+gFQqFcsHDBiAESNGoG3btujbty+OHj0KAPjuu+9KbZeTzxERERERVTCjsieYVrqeElq0aAF9fX2cPn26xDZHR0fExMTg1atXYtmFCxegpaWFli1bKnR8BwcH5OXl4erVq2LZrVu38Pz5c4VjzMjIgLu7O3R1dXHkyBGZzzhEpBka61RRZbb+0mbi19HRKTHCZNWqVVi6dClOnjyJ999/v8xYDA0N0bZtW/zzzz8qnAkREREREamFTRfApDGA0r5klQAmTQrrqZlUKsWcOXMwe/Zs7Ny5E3fv3sWlS5cQHh6O0aNHQyqVYuzYsbhx4wbOnj2LL774Ap6enu9caaxIq1at4OHhAW9vb1y+fBlRUVHw8vIqc4RMcZmZmXB3d8erV68QHh6OjIwMpKSkICUlBfn5tXu5aSJN0liniiqz9Zc2E7+Li4vMsLeVK1ciODgYx48fl7lnsTTZ2dmIi4uTe/sQERERERFVEi1twGPF/3/ydsfK/3/usbywXgUIDAzErFmzMH/+fDg4OGDkyJFITU2FgYEBTpw4gadPn6Jjx4746KOP0KdPH2zYsEGp4+/YsQNWVlbo2bMnhg8fjokTJ6JRo0YK7RsVFYXLly/j+vXraN68OSwtLcVHYmKiKqdLRGogEYrun9GA/fv3w9PTE5s3b4abmxu2bt2KsLAw3Lx5EzY2NggICEBSUhJ27twJoHBJ5TZt2mDSpEnw9vZGZGQkfHx8sHfvXowYMQJA4S0/gYGB2LNnD7p27Sq2ZWRkBCMjIwDAl19+icGDB8Pa2hqpqalYvHgxzp8/j+vXr4uT2r3Lw4cPYWVlhcTERLz33ntqfmWIKg6v3YrD15aqI163FUfV15YT1ZKmVYm8EHsEOD5HdtJakyaFHSqOQzQTExGRHBpd0FzZ2frt7Oxw7NgxzJw5Exs3bkTjxo2xfv16sUMFAEJDQ5GTk1NiYrmgoCAsWLAAQOEfilGjRiEtLQ1mZmbo3LkzLl26pHCHChERERERVSDHIYD9oMJVfl4+LpxDxaZLhY1QISJSlUY7VQDlZusHgJ49e+LatWulHu/+/fvvbHPfvn2KhkdERERERJqgpa32ZZOrst27d2PSpElyt9nY2ODmzZuVHBERKULjnSpERERERES13ZAhQ+Dq6ip3G5dNJqq62KlCRERERESkYcbGxjA2NtZ0GESkJHaqEBEREVUhnISWiIio+tDYkspERERERERERNUZO1WIiIiIiIiIiFTAThUiqpZCQ0NhZ2cHqVQKZ2dn/P7772XWP3/+PJydnSGVStG0aVNs3ry5RJ2QkBC0atUK+vr6sLKywsyZM/HmzZuKOgUiIiIiIqrm2KlCRNXO/v374evri7lz5yI6Ohrdu3fHgAEDkJCQILd+fHw8Bg4ciO7duyM6Ohpff/01pk+fjkOHDol1du/eDX9/fwQFBSEuLg7h4eHYv38/AgICKuu0iIiIiIiomuFEtURU7axZswYTJkyAl5cXgMIRJidOnMCmTZuwbNmyEvU3b94Ma2trhISEAAAcHBxw9epVrFq1CiNGjAAAREZGomvXrvj0008BALa2thg1ahSuXLlSOSdFRERERETVDkeqEFG1kpOTg6ioKLi7u8uUu7u74+LFi3L3iYyMLFG/f//+uHr1KnJzcwEA3bp1Q1RUlNiJcu/ePRw7dgyDBg0qNZbs7GxkZGSIj8zMzPKcGhERERERVTMcqUJE1UpaWhry8/Nhbm4uU25ubo6UlBS5+6SkpMitn5eXh7S0NFhaWuKTTz7BkydP0K1bNwiCgLy8PEyePBn+/v6lxrJs2TIsXLiw/CdFRERERETVEkeqEFG1JJFIZJ4LglCi7F31i5efO3cOS5YsQWhoKK5du4YffvgB//3vfxEcHFzqMQMCAvDixQvxERsbq+rpEBERERFRNcSRKkRUrTRs2BDa2tolRqWkpqaWGI1SxMLCQm59HR0dmJqaAgACAwPh6ekpztPStm1bvHr1ChMnTsTcuXOhpVWyD1pPTw96enri84yMjHKdGxERERERVS8cqUJE1Yquri6cnZ1x6tQpmfJTp06hS5cucvdxc3MrUf/kyZNwcXFBnTp1AABZWVklOk60tbUhCII4qoWIiIiIiKg4lUaqvH79GoIgwMDAAADw4MEDHD58GI6OjiUmgyRSlvORSQrVixqypYIjIXVTV+7w8/ODp6cnXFxc4Obmhq1btyIhIQE+Pj4ACm/LSUpKws6dOwEAPj4+2LBhA/z8/ODt7Y3IyEiEh4dj79694jEHDx6MNWvWwMnJCa6urrhz5w4CAwMxZMgQaGtrq/FVIKIite39xPc7OihU79+fX6vgSIiIiEhdVOpUGTp0KIYPHw4fHx88f/4crq6uqFOnDtLS0rBmzRpMnjxZ3XESUQ2grtwxcuRIpKenY9GiRUhOTkabNm1w7Ngx2NjYAACSk5ORkJAg1rezs8OxY8cwc+ZMbNy4EY0bN8b69evF5ZQBYN68eZBIJJg3bx6SkpJgZmaGwYMHY8mSJep9EahM7FStXfh+goiIiKo7lW7/uXbtGrp37w4AOHjwIMzNzfHgwQPs3LkT69evV2uARFRzqDN3TJkyBffv30d2djaioqLQo0cPcVtERATOnTsnU79nz564du0asrOzER8fL45qKaKjo4OgoCDcuXMHr1+/RkJCAjZu3Ih69eqpdK5E9G58P0FERETVnUqdKllZWTA2NgZQOC/B8OHDoaWlhc6dO+PBgwdqDZCIag7mDiIqjjmBiIiIqjuVbv9p3rw5fvzxR3z44Yc4ceIEZs6cCaBwNQ0TExO1BkhENQdzBxEVx5wg369bnMvc3ndSVCVFQtWVIAiIehyFJ6+fwEzfDM7mzpBIJJoOi4ioRlJppMr8+fPx5ZdfwtbWFq6urnBzcwNQ+C2Tk5OTWgMkopqDuYOIimNOIFK/0w9OY9DhQfj8xOeY/dtsfH7icww6PAinH5zWdGhERDWSSiNVPvroI3Tr1g3Jyclo166dWN6nTx98+OGHaguOiGoW5g4iKo45gUi9Tj84Db/zfigQCmTKEzMT4XfeD2t6rkEfmz4aio6IqGZSqVMFACwsLGBhYSFT1qlTp3IHREQ1G3MHERXHnECkHoIgYHXU6hIdKkUKhAKsiVqD3ta9eSsQEZEaqdSp8urVKyxfvhynT59GamoqCgpkk/e9e/fUEhwR1SzMHURUHHMCkfpEPY5CYmZimXUSMhNwLfUanM3LnreHiIgUp1KnipeXF86fPw9PT09YWlqyt5uIFMLcQUTFMScQqc+T108Uq5elWD0iIlKMSp0qv/zyC44ePYquXbuqOx4iRA3ZoukQqIIwdxBRcbUtJ/z782uIXlf6CIF0aSUGQzWOmb6ZYvUMFKtHRESKUalTpX79+mjQoIG6YyGiGo65g96Fnaq1C3MCkfo4mzvDytiqzFuArI2t0aFRh0qMioio5lNpSeXg4GDMnz8fWVlZ6o6HiGow5g4iKk6dOSE0NBR2dnaQSqVwdnbG77//Xmrd5ORkfPrpp2jVqhW0tLTg6+srt15ISAhatWoFfX19WFlZYebMmXjz5k25YyWqCBKJBLOcZ0FLIv/tvZZEC37OfrzNjohIzVQaqbJ69WrcvXsX5ubmsLW1RZ06dWS2X7t2TS3BEVHNwtxBRMWpKyfs378fvr6+CA0NRdeuXbFlyxYMGDAAsbGxsLa2LlE/OzsbZmZmmDt3LtauXSv3mLt374a/vz+2b9+OLl264Pbt2xg3bhwAlLoPkab1semDNT3XYE3UGiRkJojl1sbW8HP243LKREQVQKVOlWHDhqk5DCKqDZg7iKg4deWENWvWYMKECfDy8gJQOMLkxIkT2LRpE5YtW1aivq2tLdatWwcA2L59u9xjRkZGomvXrvj000/FfUaNGoUrV66oJWZ5TIsNgnGaEVVh7VDN1semD3pb90bU4yikvU6DmYEZOjTqwBEqREQVRKVOlaCgIHXHQUS1AHMHERWnjpyQk5ODqKgo+Pv7y5S7u7vj4sWLKh+3W7du2LVrF65cuYJOnTrh3r17OHbsGMaOHVvqPtnZ2cjOzhafZ2ZmlqjDzhKqDBKJBC4WLpoOg4ioVlCpU6VIVFQU4uLiIJFI4OjoCCcnJ3XFRUQ1GHMHERVXnpyQlpaG/Px8mJuby5Sbm5sjJSVF5Zg++eQTPHnyBN26dYMgCMjLy8PkyZNLdN4Ut2zZMixcuFDlNomIiKj6UalTJTU1FZ988gnOnTuHevXqQRAEvHjxAh988AH27dsHMzMu1UZEJTF3EFFx6swJb9/aIAhCuW53OHfuHJYsWYLQ0FC4urrizp07mDFjBiwtLREYGCh3n4CAAPj5+YnPk5KS4OjoqHIMREREVPWp1KnyxRdfICMjAzdv3oSDgwMAIDY2FmPHjsX06dOxd+9ehY8VGhqKlStXIjk5Ga1bt0ZISAi6d+9eav3z58/Dz88PN2/eROPGjTF79mz4+PiI28PCwrBz507cuHEDAODs7IylS5eiU6dO5WqXiMpPnbmDap/OB4+8s86lj4ZUQiSkLurICQ0bNoS2tnaJUSmpqaklRq8oIzAwEJ6enuI8LW3btsWrV68wceJEzJ07F1paJVdY0dPTg56envg8IyND4fZeTy59taLiJPqR4s/SNbMVPj4RERFVDJWWVD5+/Dg2bdokvgECAEdHR2zcuBG//PKLwscpmq1/7ty5iI6ORvfu3TFgwAAkJCTIrR8fH4+BAweie/fuiI6Oxtdff43p06fj0KFDYp1z585h1KhROHv2LCIjI2FtbQ13d3ckJSWp3C4RqYe6cgdRaVx/2C0+qOpTR07Q1dWFs7MzTp06JVN+6tQpdOnSReXYsrKySnScaGtrQxAECIKg8nGJiIioZlGpU6WgoKDEsocAUKdOHRQUFCh8nOKz9Ts4OCAkJARWVlbYtGmT3PqbN2+GtbU1QkJC4ODgAC8vL4wfPx6rVq0S6+zevRtTpkxB+/btYW9vj7CwMBQUFOD06dMqt0tE6qGu3EFENYO6coKfnx+2bduG7du3Iy4uDjNnzkRCQoI4kjUgIABjxoyR2ScmJgYxMTF4+fIlnjx5gpiYGMTGxorbBw8ejE2bNmHfvn2Ij4/HqVOnEBgYiCFDhkBbW1vFMyYiIqKaRqXbf3r37o0ZM2Zg7969aNy4MYDC+4ZnzpyJPn36KHQMVWbrj4yMhLu7u0xZ//79ER4ejtzcXLlvzLKyspCbm4sGDRqo3C6g2Iz+RFQ2deQOqqU4MqBGUldOGDlyJNLT07Fo0SIkJyejTZs2OHbsGGxsbAAAycnJJUajFp8MNyoqCnv27IGNjQ3u378PAJg3bx4kEgnmzZuHpKQkmJmZYfDgwViyZEk5z5qIiIhqEpVGqmzYsAGZmZmwtbVFs2bN0Lx5c9jZ2SEzMxPffvutQsdQZbb+lJQUufXz8vKQlpYmdx9/f380adIEffv2VbldoHBG/7p164oPTjxHpDx15A6qheJ+BtZzhaiaSJ05YcqUKbh//z6ys7MRFRWFHj16iNsiIiJw7tw5mfpFt/EUfxR1qACAjo4OgoKCcOfOHbx+/RoJCQnYuHEj6tWrV44zJiIioppGpZEqVlZWuHbtGk6dOoW///4bgiDA0dFR7LhQhrKz9curL68cAL755hvs3bsX586dg1QqLVe7nNGfqPzUmTuoloj7GTgwBhAKgCaaDobUjTmBiIiIqjuVOlWK9OvXD/369VNpX1Vm67ewsJBbX0dHB6ampjLlq1atwtKlS/Hrr7/i/fffL1e7QPlm9CciWeXJHVSLCAJwMrCwQ4VqNOYEIiIiqq4U7lRZv349Jk6cCKlUivXr15dZd/r06e88XvHZ+j/88EOx/NSpUxg6dKjcfdzc3PDzzz/LlJ08eRIuLi4y86msXLkSixcvxokTJ+Di4lLudolIderOHVSLPLgIPIvXdBSkZswJREREVJMo3Kmydu1ajB49GlKpFGvXri21nkQiUfhNkJ+fHzw9PeHi4gI3Nzds3bq1xGz9SUlJ2LlzJwDAx8cHGzZsgJ+fH7y9vREZGYnw8HDs3btXPOY333yDwMBA7NmzB7a2tuKIFCMjIxgZGSnULhGpT0XkDqolMpM1HQFVAOYEIiIiqkkU7lSJj4+X+3N5KDtbv52dHY4dO4aZM2di48aNaNy4MdavX48RI0aIdUJDQ5GTk4OPPvpIpq2goCAsWLBAoXaJSH0qIncAhf/XV65cieTkZLRu3RohISHo3r17qfXPnz8PPz8/3Lx5E40bN8bs2bNlOlJ79eqF8+fPl9hv4MCBOHr0qNriJiUYW8o8vXTDEwDg+n6oJqIhNamonFDd6W8qPX/JUrQeERERVQaJICi/TuWiRYvw5ZdfwsDAQKb89evXWLlyJebPn6+2AKuqhw8fwsrKComJiXjvvfc0HQ6RwjR57aord+zfvx+enp4IDQ1F165dsWXLFmzbtg2xsbGwtrYuUT8+Ph5t2rSBt7c3Jk2ahAsXLmDKlCnYu3ev2Cn79OlT5OTkiPukp6ejXbt22LZtG8aNG6dQXMwLyut0eNM761z5y7/0jQ2aAl9cA8qYaJzKVhNyQlXFnEDVFa9dIiLFqbSk8sKFC/Hy5csS5VlZWVi4cGG5gyKimklduWPNmjWYMGECvLy84ODggJCQEFhZWWHTJvkf0Ddv3gxra2uEhITAwcEBXl5eGD9+PFatWiXWadCgASwsLMTHqVOnYGBggH//+9/Knyipl6SUP1USLaDfInaoVGN8P0FEpB4SiQQ//vhjhbdja2uLkJCQCm9HnoiICI0ta3/u3DlIJBI8f/5c47FQ1aPS6j+lLT/8119/oUGDBuUOiohqJnXkjpycHERFRcHfX3b0gru7Oy5evCh3n8jISLi7u8uU9e/fH+Hh4cjNzZWZ6LpIeHg4PvnkExgaGpYaS3Z2NrKzs8XnmZmZCp0DKenjncCp+cDTe2JRx/azC3+49b/Chxx/DptbGdFROfD9BBHRu6WmpiIwMBC//PILHj9+jPr166Ndu3ZYsGAB3NzcABROm1C/fn0NR1pSREQEfH19xc6ImmLkyJEYOHCg2o537tw5fPDBB3j27Bk7a6ohpTpV6tevD4lEAolEgpYtW8q8EcrPz8fLly852SsRlaDO3JGWlob8/PwSS6Cbm5uXWCq9SEpKitz6eXl5SEtLg6Wl7NwdV65cwY0bNxAeHl5mLMuWLeO36ZXBYTBg/6/C1YBephTOtRJ9VtNRUTnw/QQRkeJGjBiB3NxcfPfdd2jatCkeP36M06dP4+nTp2IdCwsLDUZYdZX25Vl56evrQ19fX+3HpepJqdt/QkJCsGbNGgiCgIULF2Lt2rXiY/Pmzfjjjz+wcePGioqViKqpisgdb3+7Xdo33mXVl1cOFI5SadOmDTp16lRmDAEBAXjx4oX4iI2NVTR8UpZEAth2BdqMAGy6aDoaKie+nyAiUszz58/xxx9/YMWKFfjggw9gY2ODTp06ISAgAIMGDRLrFb/95/79+5BIJDhw4AC6d+8OfX19dOzYEbdv38aff/4JFxcXGBkZwcPDA0+ePBGP0atXL/j6+sq0P2zYsDLnlluzZg3atm0LQ0NDWFlZYcqUKeJtnefOncPnn3+OFy9eiB3pRQuH5OTkYPbs2WjSpAkMDQ3h6uqKc+fOyRw7IiIC1tbWMDAwwIcffoj09PQyX6vi592rVy9IpVLs2rULALBjxw44ODhAKpXC3t4eoaGhJfbbt28funTpAqlUitatW5eI5+3Y3h5RcuTIEbi4uEAqlaJhw4YYPny4uG3Xrl1wcXGBsbExLCws8OmnnyI1NVVs/4MPPgDwf186FL3mgiDgm2++QdOmTaGvr4927drh4MGD4nGfPXuG0aNHw8zMDPr6+mjRogV27NhR5utE6qfUSJWxY8ciLy8PANC3b19OXEVEClFn7mjYsCG0tbVLjEpJTU0tMRqliIWFhdz6Ojo6MDU1lSnPysrCvn37sGjRonfGoqenBz09PfF5RkaGoqdBVKvx/QQRkWKMjIxgZGSEH3/8EZ07d5Z53/EuQUFBCAkJgbW1NcaPH49Ro0bBxMQE69atg4GBAT7++GPMnz+/1DnpFKGlpYX169fD1tYW8fHxmDJlCmbPno3Q0FB06dIFISEhmD9/Pm7duiWeDwB8/vnnuH//Pvbt24fGjRvj8OHD8PDwwPXr19GiRQtcvnwZ48ePx9KlSzF8+HAcP34cQUFBCsU0Z84crF69Gjt27ICenh7CwsIQFBSEDRs2wMnJCdHR0fD29oahoSHGjh0r7vfVV18hJCQEjo6OWLNmDYYMGYL4+PgS7xXlOXr0KIYPH465c+fiP//5D3JycmRWj8zJyUFwcDBatWqF1NRUzJw5E+PGjcOxY8dgZWWFQ4cOYcSIEbh16xZMTEzEUTDz5s3DDz/8gE2bNqFFixb47bff8Nlnn8HMzAw9e/ZEYGAgYmNj8csvv6Bhw4a4c+cOXr9+rfDvj9RD6TlVdHR0MGXKFMTFxVVEPERUQ6krd+jq6sLZ2RmnTp3Chx9+KJafOnUKQ4cOlbuPm5sbfv75Z5mykydPwsXFpcSQ0AMHDiA7OxufffZZueIkorLx/QQR0bvp6OggIiIC3t7e2Lx5Mzp06ICePXvik08+wfvvv1/mvl9++SX69+8PAJgxYwZGjRqF06dPo2vXrgCACRMmICIiolzxFR/ZYmdnh+DgYEyePBmhoaHQ1dVF3bp1IZFIZG5Punv3Lvbu3YuHDx+icePGYqzHjx/Hjh07sHTpUqxbtw79+/cX59Br2bIlLl68iOPHjysUU/FRIsHBwVi9erVYZmdnh9jYWGzZskWmU2XatGniqpCbNm3C8ePHER4ejtmzZ7+zzSVLluCTTz6RuS28Xbt24s/jx48Xf27atCnWr1+PTp064eXLlzAyMhLnEWvUqJE4AubVq1dYs2YNzpw5I86d07RpU/zxxx/YsmULevbsiYSEBDg5OcHFxQVA4UTCVPlUWv3H1dUV0dHR6o6FiGo4deUOPz8/bNu2Ddu3b0dcXBxmzpyJhIQEcQ6GgIAAjBkzRqzv4+ODBw8ewM/PD3Fxcdi+fTvCw8Px5Zdfljh2eHg4hg0bptC3EkRUPnw/QUT0biNGjMCjR49w5MgR9O/fH+fOnUOHDh3e2SFSvNOlaDRv27ZtZcqKbkFR1dmzZ9GvXz80adIExsbGGDNmDNLT0/Hq1atS97l27RoEQUDLli3FkThGRkY4f/487t69CwCIi4sTOxKKvP28NEUdDADw5MkTJCYmYsKECTJtLV68WGxL3vF1dHTg4uKicMd/TEwM+vTpU+r26OhoDB06FDY2NjA2NkavXr0AAAkJCaXuExsbizdv3qBfv34yse/cuVOMffLkydi3bx/at2+P2bNnl7poA1UslVb/mTJlCmbNmoWHDx/C2dm5xOoY7+o1JaLaSV25Y+TIkUhPT8eiRYuQnJyMNm3a4NixY7CxsQFQOAN+8T9SdnZ2OHbsGGbOnImNGzeicePGWL9+vfhtRJHbt2/jjz/+wMmTJ8t5pkSkCL6fICJSjFQqRb9+/dCvXz/Mnz8fXl5eCAoKKnO+k+KjcYvmkHu7rKCgQHyupaUlzjlXJDc3t9TjP3jwAAMHDoSPjw+Cg4PRoEED/PHHH5gwYUKZ+xUUFEBbWxtRUVHQ1taW2VZ0e9DbcSij+N+SovMLCwuDq6urTL2325anrPn6iitr0tpXr17B3d0d7u7u2LVrF8zMzJCQkID+/fsjJyen1P2KYj969CiaNGkis63oNrABAwbgwYMHOHr0KH799Vf06dMHU6dOxapVqxSKm9RDpU6VkSNHAgCmT58ulkkkEnGiyPz8fPVER0Q1ijpzx5QpUzBlyhS52+R9c9OzZ09cu3atzGO2bNmyXH/EiUg5fD9BRKQaR0dHcWJadTEzM0NycrL4PD8/Hzdu3BAnUX3b1atXkZeXh9WrV0NLq/AGiAMHDsjU0dXVLZHLnZyckJ+fj9TUVHTv3l3usR0dHXHp0iWZsrefK8Lc3BxNmjTBvXv3MHr06DLrXrp0CT169AAA5OXlISoqCtOmTVOonffffx+nT5/G559/XmLb33//jbS0NCxfvhxWVlYACl+74nR1dQFA5rVydHSEnp4eEhIS0LNnz1LbNjMzw7hx4zBu3Dh0794dX331FTtVKplKnSrx8fHqjoOIagHmDnrblQ8nK73Ph0c6ABjxznpU9TEnEBGVLT09Hf/+978xfvx4vP/++zA2NsbVq1fxzTfflDqXnKp69+4NPz8/HD16FM2aNcPatWvx/PnzUus3a9YMeXl5+PbbbzF48GBcuHABmzdvlqlja2uLly9f4vTp02jXrh0MDAzQsmVLjB49GmPGjMHq1avh5OSEtLQ0nDlzBm3btsXAgQMxffp0dOnSBd988w2GDRuGkydPKjSfijwLFizA9OnTYWJiggEDBiA7OxtXr17Fs2fP4OfnJ9bbuHEjWrRoAQcHB6xduxbPnj2TmQulLEFBQejTpw+aNWuGTz75BHl5efjll18we/ZsWFtbQ1dXF99++y18fHxw48YNBAcHy+xvY2MDiUSC//73vxg4cCD09fVhbGyML7/8EjNnzkRBQQG6deuGjIwMXLx4EUZGRhg7dizmz58PZ2dntG7dGtnZ2fjvf/8LBwcHlV4nUp1KnSpFQ+yJiJTB3EFExTEnEBGVzcjICK6urli7di3u3r2L3NxcWFlZwdvbG19//bVa2xo/fjz++usvjBkzBjo6Opg5c2apo1QAoH379lizZg1WrFiBgIAA9OjRA8uWLZOZ165Lly7w8fERb90OCgrCggULsGPHDixevBizZs1CUlISTE1N4ebmhoEDBwIAOnfujG3bton1+/bti3nz5pXojFCEl5cXDAwMsHLlSsyePRuGhoZo27ZtieWjly9fjhUrViA6OhrNmjXDTz/9hIYNGyrURq9evfD9998jODgYy5cvh4mJiTjqxczMDBEREfj666+xfv16dOjQAatWrcKQIUPE/Zs0aYKFCxfC398fn3/+OcaMGYOIiAgEBwejUaNGWLZsGe7du4d69eqhQ4cO4u9eV1cXAQEBuH//PvT19dG9e3fs27dP6deIykciqDjW/e7duwgJCUFcXBwkEgkcHBwwY8YMNGvWTN0xVkkPHz6ElZUVEhMTuRSkGnX8cck76/w5bG4lRFJzafrarcm5Q9OvbW1ROFLl3Q4PKft2Lyqk6euWOYGo6uG1S7XJ/fv3YWdnh+joaLRv317T4VA1pNLqPydOnICjoyOuXLmC999/H23atMHly5fRunVrnDp1St0xElENwdxBRMUxJxAREVF1p9LtP/7+/pg5cyaWL19eonzOnDno16+fWoKr7t74faNQPemad699TlQTMHcQUXHMCURERFTdqTRSJS4uDhMmTChRPn78eMTGxpY7KCKqmZg7iKg45gQiItI0W1tbCILAW39IZSp1qpiZmSEmJqZEeUxMDBo1alTemIiohmLuIKLimBOIiIioulPp9h9vb29MnDgR9+7dQ5cuXSCRSPDHH39gxYoVmDVrlrpjJKIagrmDiIpjTiAiIqLqTqVOlcDAQBgbG2P16tUICAgAADRu3FhcA5yISJ7amjs4vxKRfLU1JxAREVHNoVKnikQiwcyZMzFz5kxkZmYCAIyNjdUaGBHVPMwdpA5cKrnmYE4gIiKi6k6lTpUiqampuHXrFiQSCVq1agUzMzN1xUVENRhzBxEVx5xARERE1ZVKE9VmZGTA09MTjRs3Rs+ePdGjRw80btwYn332GV68eKHuGImohmDuIKLimBOIiIioulNppIqXlxdiYmJw9OhRuLm5QSKR4OLFi5gxYwa8vb1x4MABdcdJtcSfw+ZqOgSqQMwdRFQccwIRyVOQnge8zC+9gpE2tEzLNeC+SrG1tYWvry98fX01HQoVk5z1FM9zXpa6vZ6uESwNGlRiRBWL16HqVMpGR48exYkTJ9CtWzexrH///ggLC4OHh4fagiOimoW5g4iKY04gorcVpOfhzdeJQK5QeqU6EkiXWtWojhVFbd26FXv27MG1a9eQmZmJZ8+eoV69epoO651mzJiBP/74Azdu3ICDgwNiYmI0HVKZkrOeYviZQOQU5JVaR1dLBz/0Dq5RHSuKePr0KYKCgnDy5EkkJiaiYcOGGDZsGIKDg1G3bl1Nh1cmiURSomzTpk3w8fEp13FVykSmpqZyX7C6deuifv365QqoJuFKHkSymDuIqDjmBCIq4WV+2R0qQOH2l/lALexUycrKgoeHBzw8PMRV08ojNzcXderUUUNkZRMEAePHj8fly5fxv//9r8LbK6/nOS/L7FABgJyCPDzPeVnrOlUePXqER48eYdWqVXB0dMSDBw/g4+ODR48e4eDBgyods7KuQwDYsWOHzBc36ugIUmlOlXnz5sHPzw/JycliWUpKCr766isEBgaWOygiqpmYO4ioOOYEWa+/2P/OBxFVrIKCAqxYsQLNmzeHnp4erK2tsWTJEgDA9evX0bt3b+jr68PU1BQTJ07Ey5f/d3vIuHHjMGzYMKxatQqWlpYwNTXF1KlTkZubK9ZJTU3F4MGDoa+vDzs7O+zevVup+Hx9feHv74/OnTsrfW7379+HRCLBgQMH0KtXL0ilUuzatQtA4QdNBwcHSKVS2NvbIzQ0tMR++/btQ5cuXSCVStG6dWucO3dO4bbXr1+PqVOnomnTpkrHXRtV5euwTZs2OHToEAYPHoxmzZqhd+/eWLJkCX7++Wfk5ZXdEQVo9joEgHr16sHCwkJ86OvrK7W/PCp1qmzatAmXLl2CjY0NmjdvjubNm8Pa2hoXL17Eli1b0KFDB/FBRFSEuYOIilNnTggNDYWdnR2kUimcnZ3x+++/l1o3OTkZn376KVq1agUtLa1S7x9//vw5pk6dCktLS0ilUjg4OODYsWOqni4RVQMBAQFYsWIFAgMDERsbiz179sDc3FwcIVK/fn38+eef+P777/Hrr79i2rRpMvufPXsWd+/exdmzZ/Hdd98hIiICERER4vZx48bh/v37OHPmDA4ePIjQ0FCkpqZW6jnOmTMH06dPR1xcnHjL5dy5c7FkyRLExcVh6dKlCAwMxHfffSez31dffYVZs2YhOjoaXbp0wZAhQ5Cenl6psdcW1e06fPHiBUxMTKCjo/joMU1dh9OmTUPDhg3RsWNHbN68GQUFBQrvWxqVxswNGzas3A0TUe3D3EFExakrJ+zfvx++vr4IDQ1F165dsWXLFgwYMACxsbGwtrYuUT87OxtmZmaYO3cu1q5dK/eYOTk56NevHxo1aoSDBw/ivffeQ2JiIoyNjdUSMxFVPZmZmVi3bh02bNiAsWPHAgCaNWuGbt26ISwsDK9fv8bOnTthaGgIANiwYQMGDx6MFStWwNzcHABQv359bNiwAdra2rC3t8egQYNw+vRpeHt74/bt2/jll19w6dIluLq6AgDCw8Ph4OBQqefp6+uL4cOHi8+Dg4OxevVqsczOzg6xsbHYsmWL+DoAhR9GR4wYAaCwU/z48eMIDw/H7Nmc8kCdqtt1mJ6ejuDgYEyaNEmp/TRxHQYHB6NPnz7Q19fH6dOnMWvWLKSlpWHevHlKxf42lTpVgoKCytUoEdVOtTV3cH4lIvnUlRPWrFmDCRMmwMvLCwAQEhKCEydOYNOmTVi2bFmJ+ra2tli3bh0AYPv27XKPuX37djx9+hQXL14U7/O2sbFRS7xEVDXFxcUhOzsbffr0kbutXbt24gdZAOjatSsKCgpw69Yt8cNs69atoa2tLdaxtLTE9evXxWPo6OjAxcVF3G5vb1/pE80Wb//JkydITEzEhAkT4O3tLZbn5eWVmGvCzc1N/LnoPOLi4io+4FqmOl2HGRkZGDRoEBwdHZX+m66J67B450n79u0BAIsWLdJMp0qRqKgoxMXFQSKRwNHREU5OTuUKhohqB+YOIiquPDkhJycHUVFR8Pf3lyl3d3fHxYsXVY7pyJEjcHNzw9SpU/HTTz/BzMwMn376KebMmSPzRrW47OxsZGdni88zMzNVbp+IKl9ZcysIgiB35RBAdkWRtyfblEgk4u0FgiCUqK8JxT+QF8UWFhYmjlooUlquK07T51ITVZfrMDMzEx4eHjAyMsLhw4eVnmi2KlyHnTt3RkZGBh4/fix2SKlCpTlVUlNT0bt3b3Ts2BHTp0/HtGnT4OzsjD59+uDJkycqB0NENRtzBxEVp46ckJaWhvz8/BJvhszNzZGSkqJybPfu3cPBgweRn5+PY8eOYd68eVi9erU4UaA8y5YtQ926dcWHo6Ojyu0TUeVr0aKFeFvA2xwdHRETE4NXr16JZRcuXICWlhZatmyp0PEdHByQl5eHq1evimW3bt3C8+fPyx27qszNzdGkSRPcu3dPnNuq6GFnZydT99KlS+LPeXl5iIqKgr29fWWHXONVh+swIyMD7u7u0NXVxZEjRyCVShXeVx5NXYfR0dGQSqXlHi2mUqfKF198gYyMDNy8eRNPnz7Fs2fPcOPGDWRkZGD69OnlCoiIai7mDiIqTp054e1vqcr6Nk8RBQUFaNSoEbZu3QpnZ2d88sknmDt3LjZt2lTqPgEBAXjx4oX4iI2NVbl9olrLSBuo847/u3UkhfXUTCqVYs6cOZg9ezZ27tyJu3fv4tKlSwgPD8fo0aMhlUoxduxY3LhxA2fPnsUXX3wBT09Phb/hbtWqFTw8PODt7Y3Lly8jKioKXl5eSq0+kpKSgpiYGNy5cwdA4UowMTExePr0qUrnDAALFizAsmXLsG7dOty+fRvXr1/Hjh07sGbNGpl6GzduxOHDh/H3339j6tSpePbsGcaPH69QG3fu3EFMTAxSUlLw+vVrxMTEICYmBjk5OSrHXZHq6RpBV6vsmzp0tXRQT9dI7W1X9eswMzMT7u7uePXqFcLDw5GRkYGUlBSkpKQgPz9f5fOu6Ovw559/RlhYGG7cuIG7d+9i27ZtmDt3LiZOnAg9PT2V4wZUvP3n+PHj+PXXX2Ums3F0dMTGjRvh7u5eroCIqOZi7iCi4tSRExo2bAhtbe0So1JSU1PLNZTX0tISderUkRl27ODggJSUFOTk5EBXV7fEPnp6ejJvzDIyMlRun6i20jLVgXSpFfCyjA9nRtrQMi3XLAalCgwMhI6ODubPn49Hjx7B0tISPj4+MDAwwIkTJzBjxgx07NgRBgYGGDFiRIkPfO+yY8cOeHl5oWfPnjA3N8fixYuVWkJ+8+bNWLhwofi8R48e4nHHjRunVCxFvLy8YGBggJUrV2L27NkwNDRE27ZtS6yMtnz5cqxYsQLR0dFo1qwZfvrpJzRs2FDhNs6fPy8+L7rNMz4+Hra2tirFXZEsDRrgh97BeJ7zstQ69XSNYGnQoELar8rXYVRUFC5fvgwAaN68ucy28vw+K/o6rFOnDkJDQ+Hn54eCggI0bdoUixYtwtSpU1WKV4agAiMjIyE6OrpE+bVr1wRjY2OljrVx40bB1tZW0NPTEzp06CD89ttvZdY/d+6c0KFDB0FPT0+ws7MTNm3aJLP9xo0bwvDhwwUbGxsBgLB27doSxwgKChIAyDzMzc2VijsxMVEAICQmJiq1H5GmafLarcq5QxAE4dmzZ8KUKVMECwsLQU9PT7C3txeOHj2qcEzMC1Qd1YSc0KlTJ2Hy5MkyZQ4ODoK/v/879+3Zs6cwY8aMEuUBAQGCjY2NkJ+fL5aFhIQIlpaWCsel7GubNW3fOx9ElYF/z6i4+Ph4AYDcfE1UWarydajS7T+9e/fGjBkz8OjRI7EsKSkJM2fOlDtLcWmKlkCcO3cuoqOj0b17dwwYMAAJCQly68fHx2PgwIHo3r07oqOj8fXXX2P69Ok4dOiQWCcrKwtNmzbF8uXLYWFhUWrbrVu3RnJysvgomg2ZiCpOVc4dRcun3r9/HwcPHsStW7cQFhaGJk2aqH7CRFQmdeUEPz8/bNu2Ddu3b0dcXBxmzpyJhIQE+Pj4ACi8LWfMmDEy+xQNPX/58iWePHmCmJgYmdt1Jk+ejPT0dMyYMQO3b9/G0aNHsXTpUvV8o0VEREQ1hyo9MQkJCYKTk5NQp04doWnTpkKzZs2EOnXqCB06dFCqR7tTp06Cj4+PTJm9vX2p3yzNnj1bsLe3lymbNGmS0LlzZ7n1bWxsSh2p0q5dO4XjlIc9+FRdafLarcq5Y9OmTULTpk2FnJwcJc5IFvMCVUc1IScIQuHoNRsbG0FXV1fo0KGDcP78eXHb2LFjhZ49e8rUx1sjVgEINjY2MnUuXrwouLq6Cnp6ekLTpk2FJUuWCHl5eQrHxJxAFeHrzS8VepQHr13N2LVrl2BoaCj34ejo+M79lyxZUur+Hh4eKsf1rhECkyZNKrXdSZMmqdwuaQavQ+WpdDOilZUVrl27hlOnTuHvv/+GIAhwdHRE3759FT6GKksgRkZGlrjHun///ggPD0dubq5Syzj9888/aNy4MfT09ODq6oqlS5eiadOmpdbnMolE5VeVcweXTyWqfOrICUWmTJmCKVOmyN0WERFRokz4/0tKlsXNzU1mlQEiooo0ZMiQEsvJFlHkc46Pjw8+/vhjuduUmQz3bba2tmXmzEWLFuHLL7+Uu83ExETldkkzeB0qT+lOlby8PEilUsTExKBfv37o16+fSg2rsgRiSkqK3Pp5eXlIS0uDpaWlQm27urpi586daNmyJR4/fozFixejS5cuuHnzJkxNTeXus2zZMplJoYhIOVU9d9y7dw9nzpzB6NGjcezYMfzzzz+YOnUq8vLyMH/+fLnHZV4gUp26cgIRUU1hbGwMY2Njlfdv0KABGjSomIlTy9KoUSM0atSo0tulisHrUHlKz6mio6MDGxubci2XVJyySyDKqy+vvCwDBgzAiBEj0LZtW/Tt2xdHjx4FAHz33Xel7sNlEonKp6rnDi6fSlS51J0TiIiIiDRBpYlq582bh4CAgHKth67KEogWFhZy6+vo6JQ6wkQRRcs1/fPPP6XW0dPTg4mJifgoT+8dUW1VlXOHpaUlWrZsWeryqfIwLxCVjzpyAhEREZEmqTSnyvr163Hnzh00btwYNjY2MDQ0lNl+7dq1dx5DV1cXzs7OOHXqFD788EOx/NSpUxg6dKjcfdzc3PDzzz/LlJ08eRIuLi5KzafytuzsbMTFxaF79+4qH4OI3q0q546uXbtiz549KCgogJZWYX/z7du3YWlpCV1dXaXOk4gUo46cQERERKRJKnWqDBs2DBKJRKFJ3sri5+cHT09PuLi4wM3NDVu3bi2xBGJSUhJ27twJoHDSmw0bNsDPzw/e3t6IjIxEeHg49u7dKx4zJydHHIKfk5ODpKQkxMTEwMjICM2bNwcAfPnllxg8eDCsra2RmpqKxYsXIyMjA2PHji3X+RBR2apy7pg8eTK+/fZbzJgxA1988QX++ecfLF26FNOnTy9XrERUOnXlBCIiIiJNUapTJSsrC1999RV+/PFH5Obmok+fPvj222/RsGFDlRofOXIk0tPTsWjRIiQnJ6NNmzY4duwYbGxsAADJyclISEgQ69vZ2eHYsWOYOXMmNm7ciMaNG2P9+vUYMWKEWOfRo0dwcnISn69atQqrVq1Cz549ce7cOQDAw4cPMWrUKKSlpcHMzAydO3fGpUuXxHaJSL2qQ+6wsrLCyZMnMXPmTLz//vto0qQJZsyYgTlz5pTv5ImoBHXnBCIiIiJNkQhKfD301VdfITQ0FKNHj4a+vj727NmDXr164fvvv6/IGKukhw8fwsrKComJiXjvvfc0HQ6RwjRx7daW3MG8QNURc0LFYU6gijB3yyuF6i2ZZPjuSqXQ9LWb/7QABS9L/4iiZSSBdgOVpoaskmxtbeHr6wtfX19Nh0LFPMlKRkbO81K3m+jWg5mBYqvPVge8DlWn1EiVH374AeHh4fjkk08AAKNHj0bXrl2Rn58vM7kjEVFxzB1EVBxzApHqytNZUh3kPy1AWuBrIK+MSjpAw2D9GtWxoqitW7diz549uHbtGjIzM/Hs2TPUq1dP02GV6a+//sLy5cvxxx9/IC0tDba2tvDx8cGMGTM0HVqpnmQlY+qZD5FbIH+xAgCoo6WLjb0P16iOFUU8ffoUQUFBOHnyJBITE9GwYUMMGzYMwcHBqFu3rqbDe6eIiAisWbMGt2/fRr169fDRRx9hw4YN5TqmUp0qiYmJMpO5durUCTo6Onj06BGsrKzKFQgR1VzMHURUHHMCEZWm4KVQdocKAOQV1tNuUCkhVSlZWVnw8PCAh4cHAgICyn283Nzcci34oYioqCiYmZlh165dsLKywsWLFzFx4kRoa2tj2rRpFdq2qjJynpfZoQIAuQU5yMh5Xus6VR49eoRHjx5h1apVcHR0xIMHD+Dj44NHjx7h4MGDKh2zMq5DAFizZg1Wr16NlStXwtXVFW/evMG9e/fKfVylunfz8/NLrIKho6ODvLx3ZT4iqs2YO4ioOOYEIqqqCgoKsGLFCjRv3hx6enqwtrbGkiVLAADXr19H7969oa+vD1NTU0ycOBEvX74U9x03bhyGDRuGVatWwdLSEqamppg6dSpyc3PFOqmpqRg8eDD09fVhZ2eH3bt3KxWfr68v/P390blzZ6XP7f79+5BIJDhw4AB69eoFqVSKXbt2AQB27NgBBwcHSKVS2NvbIzQ0tMR++/btQ5cuXSCVStG6dWtxvsp3GT9+PNavX4+ePXuiadOm+Oyzz/D555/jhx9+UPocaouqfB22adMGhw4dwuDBg9GsWTP07t0bS5Yswc8//6zQ33FNXYfPnj3DvHnzsHPnTnz66ado1qwZWrdujcGDByt87qVRaqSKIAgYN24c9PT0xLI3b97Ax8dHZhlE/gchouKYO4ioOOYEUoTzkUnvrBM1ZEslREK1SUBAAMLCwrB27Vp069YNycnJ+Pvvv8URIp07d8aff/6J1NRUeHl5Ydq0aYiIiBD3P3v2LCwtLXH27FncuXMHI0eORPv27eHt7Q2g8ANvYmIizpw5A11dXUyfPh2pqamVeo5z5szB6tWrsWPHDujp6SEsLAxBQUHYsGEDnJycEB0dDW9vbxgaGsqsjvrVV18hJCQEjo6OWLNmDYYMGYL4+HiYmpoqHcOLFy/QoEEtHGqkoOp2Hb548QImJibQ0VG8e6Gyr8NTp06hoKAASUlJcHBwQGZmJrp06YLVq1eXe5SsUp0q8pYc/uyzz8oVABHVfMwdRFQccwIRVUWZmZlYt24dNmzYIOapZs2aoVu3bggLC8Pr16+xc+dOsfN3w4YNGDx4MFasWAFzc3MAQP369bFhwwZoa2vD3t4egwYNwunTp+Ht7Y3bt2/jl19+waVLl+Dq6goACA8Ph4ODQ6Wep6+vL4YPHy4+Dw4OxurVq8UyOzs7xMbGYsuWLTL5etq0aeLKiZs2bcLx48cRHh6O2bNnK9V+ZGQkDhw4gKNHj6rhbGqe6nYdpqenIzg4GJMmvbsjvLjKvg7v3buHgoICLF26FOvWrUPdunUxb9489OvXD//73/9KjKBVhlKdKjt27FC5ISKqvZg7iKg45gQiqori4uKQnZ2NPn36yN3Wrl07mdF0Xbt2RUFBAW7duiV+mG3durXMhNuWlpa4fv26eAwdHR24uLiI2+3t7St9otni7T958gSJiYmYMGGCOIoBAPLy8kpMOurm5ib+XHQecXFxSrV98+ZNDB06FPPnz0e/fv1UPIOarTpdhxkZGRg0aBAcHR0RFBSk1L6VfR0WFBQgNzcX69evh7u7OwBg7969sLCwwNmzZ9G/f3+l4i9OqU4VIiIiIiKimkhfX7/UbYIgQCKRyN1WvPztyTYlEgkKCgrEY7xdXxOKfyAvii0sLEwctVBEkdXYlDmX2NhY9O7dG97e3pg3b57C+9U21eU6zMzMhIeHB4yMjHD48GGlJ5qt7OvQ0rJwQmFHR0exzMzMDA0bNkRCQoJCMZem9q1DRkRERERE9JYWLVpAX18fp0+fLrHN0dERMTExePXqlVh24cIFaGlpoWXLlgod38HBAXl5ebh69apYduvWLTx//rzcsavK3NwcTZo0wb1799C8eXOZh52dnUzdS5cuiT/n5eUhKioK9vb2CrVz8+ZNfPDBBxg7dqw44SrJVx2uw4yMDLi7u0NXVxdHjhyBVCpVeF95KuM67Nq1K4DCcy3y9OlTpKWlwcbGplzxc6QKEREREVUprj/shg56aDoM0gAtI0nhJ5SyFhHR+f/11EwqlWLOnDmYPXs2dHV10bVrVzx58gQ3b97E6NGjERQUhLFjx2LBggV48uQJvvjiC3h6eoq3XLxLq1at4OHhAW9vb2zduhU6Ojrw9fUtc2TC21JSUpCSkoI7d+4AKFwJxtjYGNbW1ipP/LpgwQJMnz4dJiYmGDBgALKzs3H16lU8e/YMfn5+Yr2NGzeiRYsWcHBwwNq1a/Hs2TOMHz/+nccv6lBxd3eHn58fUlJSABSOQDAzM1Mp5opmolsPdbR0y1xWuY6WLkx066m97ap+HWZmZsLd3R1ZWVnYtWsXMjIykJGRAaBw5IciI0vkqejrsGXLlhg6dChmzJiBrVu3wsTEBAEBAbC3t8cHH3ygUsxF2KlCRERERERVgnYDLTQM1kfBS6HUOlpGEmg3qJgB94GBgdDR0cH8+fPx6NEjWFpawsfHBwYGBjhx4gRmzJiBjh07wsDAACNGjMCaNWuUOv6OHTvg5eWFnj17wtzcHIsXL0ZgYKDC+2/evBkLFy4Un/fo0UM87rhx45SKpYiXlxcMDAywcuVKzJ49G4aGhmjbti18fX1l6i1fvhwrVqxAdHQ0mjVrhp9++gkNGzZ85/G///57PHnyBLt375ZZutfGxgb3799XKeaKZmZgiY29DyMj53mpdUx068HMwLJC2q/K12FUVBQuX74MAGjevLnMtvj4eNja2ioVS5GKvg4BYOfOnZg5cyYGDRoELS0t9OzZE8ePH1f61qW3SYSim6pIKQ8fPoSVlRUSExPx3nvvaTocIoXx2q04fG0r1ubdHRSq5zP6WgVHUrPwuq04fG1V5/rD7ndXAnB5+OgKjqR24rVLxd2/fx92dnaIjo5G+/btNR0O1VJV+TrknCpERERERERERCpgpwoREREREZGG7d69G0ZGRnIfrVu3fuf+S5cuLXX/AQMGVFjcPj4+pbbr4+NTYe1SxeB1qDzOqUJEREREVcaHRzoAmKXpMGqEx5NevbOO+RbDd9ahyjFkyJASy8kWUWTOBx8fH3z88cdytykzGe7bbG1tUdaMEYsWLcKXX34pd5uJiYnK7ZJm8DpUHjtViIiIiIiINMzY2BjGxsYq79+gQQOVVwAqj0aNGqFRo0aV3i5VDF6HyuPtP0RERERUPd2/AHDNBSIi0iCOVCEiIiKiamnzhS+AC7JlXAGMiIgqE0eqEBERERERERGpgCNVKtDrL/YrVE//25EVHAkRERFR9dFYZ7XM86R8b7n1thv8X/n4rLAKjYmIiEgedqoQEVG1wCH9RLWXVn6Td9aJ0FuAcdkLKj6YKqrbrvQSZYcg1UAkRES1CztViIiIiIioysh+XoDcrNInIK5jIIFevZozi4GtrS18fX3h6+ur6VComOdZycjKfl7qdgO9eqhnYFl5AVUwXoeqY6cKERFRNeX2/TmF6kX+u1eFxkFEpC7ZzwsQvf41hLzS60h0AKfp+jWqY0VRW7duxZ49e3Dt2jVkZmbi2bNnqFevnqbDKlN6ejpGjx6N//3vf0hPT0ejRo0wdOhQLF26FCYmJpoOT67nWcn49pcPkVeQU2odHS1dfDHgcI3qWFHE06dPERQUhJMnTyIxMRENGzbEsGHDEBwcjLp162o6vFJFRETg888/l7vt8ePH5VqOmZ0qREREREQ10Ijub0qU/fGZqQYiUVxullBmhwoACHmF9fTqVUpIVUpWVhY8PDzg4eGBgICAch8vNzcXderUUUNkpdPS0sLQoUOxePFimJmZ4c6dO5g6dSqePn2KPXv2VGjbqsrKfl5mhwoA5BXkICv7ea3rVHn06BEePXqEVatWwdHREQ8ePICPjw8ePXqEgwcPqnTMyrgOR44cCQ8PD5mycePG4c2bN+XqUAG4+g8RERERVSGHh1wr8SCqLAUFBVixYgWaN28OPT09WFtbY8mSJQCA69evo3fv3tDX14epqSkmTpyIly9fivuOGzcOw4YNw6pVq2BpaQlTU1NMnToVubm5Yp3U1FQMHjwY+vr6sLOzw+7du5WKz9fXF/7+/ujcubPS53b//n1IJBIcOHAAvXr1glQqxa5duwAAO3bsgIODA6RSKezt7REaGlpiv3379qFLly6QSqVo3bo1zp07p1C79evXx+TJk+Hi4gIbGxv06dMHU6ZMwe+//670OdQWVfk6bNOmDQ4dOoTBgwejWbNm6N27N5YsWYKff/4ZeXnv6BGF5q5DfX19WFhYiA9tbW2cOXMGEyZMUPjcS8NOFSKqlkJDQ2FnZwepVApnZ+d3/mE+f/48nJ2dIZVK0bRpU2zevFlme0REBCQSSYnHmzclv+UjoqpHmZyQnJyMTz/9FK1atYKWltY77x/ft28fJBIJhg0bpt6gidTo5JkXCj2obAEBAVixYgUCAwMRGxuLPXv2wNzcXBwhUr9+ffz555/4/vvv8euvv2LatGky+589exZ3797F2bNn8d133yEiIgIRERHi9nHjxuH+/fs4c+YMDh48iNDQUKSmplbqOc6ZMwfTp09HXFwc+vfvj7CwMMydOxdLlixBXFwcli5disDAQHz33Xcy+3311VeYNWsWoqOj0aVLFwwZMgTp6SUnSH6XR48e4YcffkDPnj3VdUo1TnW7Dl+8eAETExPo6Ch+I4ymr8OdO3fCwMAAH330kdL7vo23/xBRtbN//374+voiNDQUXbt2xZYtWzBgwADExsbC2tq6RP34+HgMHDgQ3t7e2LVrFy5cuIApU6bAzMwMI0aMEOuZmJjg1q1bMvtKpVw5gaiqUzYnZGdnw8zMDHPnzsXatWvLPPaDBw/w5Zdfonv37hUVfgmCIOBK/FM8zsyGubEeOtk1gEQiqbT2q7NwwxEI/3GJ3G1/DptbydFUTZHzX5W6zW2RYSVGUvVkZmZi3bp12LBhA8aOHQsAaNasGbp164awsDC8fv0aO3fuhKFh4eu0YcMGDB48GCtWrIC5uTmAwlEZGzZsgLa2Nuzt7TFo0CCcPn0a3t7euH37Nn755RdcunQJrq6uAIDw8HA4ODhU6nn6+vpi+PDh4vPg4GCsXr1aLLOzs0NsbCy2bNkivg4AMG3aNPF906ZNm3D8+HGEh4dj9uzZCrU7atQo/PTTT3j9+jUGDx6Mbdu2qfGsao7qdh2mp6cjODgYkyZNUmo/TV2HRbZv345PP/0U+vr6Su0nD0eqEFG1s2bNGkyYMAFeXl5wcHBASEgIrKyssGnTJrn1N2/eDGtra4SEhMDBwQFeXl4YP348Vq1aJVNPIpHIDAu0sLCojNMhonJSNifY2tpi3bp1GDNmTJmT6uXn52P06NFYuHAhmjZtWlHhyzh+IwW9Vp3DyK2XMH1vNEZuvYReq87h+I2USmmfqDaLi4tDdnY2+vTpI3dbu3btxA+yANC1a1cUFBTIfCHTunVraGtri88tLS3FEQBxcXHQ0dGBi4uLuN3e3r7SJ5ot3v6TJ0+QmJiICRMmwMjISHwsXrwYd+/eldnPzc1N/LnoPOLi4hRud+3atbh27Rp+/PFH3L17F35+fuU/mRqoOl2HGRkZGDRoEBwdHREUFKTUvpq6DgEgMjISsbGxarn1B+BIFbX5fkeHEmX/whwNREI1nSAIiHochSevn8BM3wzO5s616hvMnJwcREVFwd/fX6bc3d0dFy9elLtPZGQk3N3dZcr69++P8PBwmYmxXr58CRsbG+Tn56N9+/YIDg6Gk5NTqbFkZ2cjOztbfJ6ZmanqaRGprPfTju+sM3fLKyyZVDO/gVYlJyhq0aJFMDMzw4QJExS697+8OeH4jRRM2R2FgrdWkn2QnoUpu6MQOtoZHm3Y2UtUUcr6xloQhFLfbxUvf3uyTYlEgoKCAvEYb9fXhOIfyItiCwsLE0ctFCn+obw0ypxL0RdW9vb2MDU1Rffu3REYGAhLy9o10eu7VJfrMDMzEx4eHjAyMsLhw4eVnmhWU9chAGzbtg3t27eHs7OzUvuVhp0qFei/HVaUKOuWJPsLt5wXVVnhUA1w+sFprI5ajcTMRLHMytgKs5xnoY9Nyd7smigtLQ35+fni8MYi5ubmSEmR/01uSkqK3Pp5eXlIS0uDpaUl7O3tERERgbZt2yIjIwPr1q1D165d8ddff6FFixZyj7ts2TIsXLhQPSdGRCpRJSco4sKFCwgPD0dMTIzC+5QnJwiCgGW/xJXoUClSIADLf4lD/9bmGv9Apgn9hQWlbjtWZ0Sp24iU0aJFC+jr6+P06dPw8vKS2ebo6IjvvvsOr169Ej8MXrhwAVpaWmjZsqVCx3dwcEBeXh6uXr2KTp06AQBu3bqF58+fq/U8lGFubo4mTZrg3r17GD16dJl1L126hB49egAA8vLyEBUVVWIuD0UVfbAv3hFNharDdZiRkYH+/ftDT08PR44cKfft8pV5Hb58+RIHDhzAsmXLyhVzcexUIaomTj84Db/zfigQCmTKEzMT4XfeD2t6rqk1HStAyR7psnruS6tfvLxz584yM+l37doVHTp0wLfffov169fLPWZAQIDM0NWkpCQ4OjoqdyJEpBbK5oSyZGZm4rPPPkNYWBgaNmyo8H7lyQlX4p/iQXpWmXXup2fhz/vP0MmugcIxEVU3dQwkkOigzGWVJTqF9dRNKpVizpw5mD17NnR1ddG1a1c8efIEN2/exOjRoxEUFISxY8diwYIFePLkCb744gt4enqW6NQtTatWreDh4QFvb29s3boVOjo68PX1VWpOh5SUFKSkpODOnTsACleCMTY2hrW1NRo0UC03LFiwANOnT4eJiQkGDBiA7OxsXL16Fc+ePZPJaRs3bkSLFi3g4OCAtWvX4tmzZxg/fvw7j3/s2DE8fvwYHTt2hJGREWJjYzF79mx07doVtra2KsVc0Qz06kFHS7fMZZV1tHRhUAHrelf16zAzMxPu7u7IysrCrl27kJGRgYyMDACAmZmZQiNL5Kno67DI/v37kZeX987OG2WwU0XD3sweU6JM+s1ODURCVZkgCFgdtRqGuqVfG4GRQGDkXwCAi5+0q6zQKl3Dhg2hra1d4hvo1NTUUv+YWFhYyK2vo6MDU1NTuftoaWmhY8eO+Oeff0qNRU9PD3p6euLzoj8oRFR5VMkJ73L37l3cv38fgwcPFsuKhibr6Ojg1q1baNasWYn9ypMTHmcq9m3t4wyuSEY1m149LThN10duVinDtlDYoaJXr2KmhgwMDISOjg7mz5+PR48ewdLSEj4+PjAwMMCJEycwY8YMdOzYEQYGBhgxYgTWrFmj1PF37NgBLy8v9OzZE+bm5li8eDECAwMV3n/z5s0yI+KKvrHfsWMHxo0bp1QsRby8vGBgYICVK1di9uzZMDQ0RNu2bUusjLZ8+XKsWLEC0dHRaNasGX766SeFOp719fURFhaGmTNnIjs7G1ZWVhg+fHiJ2zarknoGlvhiwGFkZT8vtY6BXj3UM6iYW5eq8nUYFRWFy5cvAwCaN28usy0+Pl7ljrKKvg6LhIeHY/jw4ahfv75KccojEYq+riWlPHz4EFZWVkhMTMR7770nd04VeernSND6SbHnGa1L1GGnCr3taspVfH7icxjr7VKoflmdKm9fu9WRq6srnJ2dZdaud3R0xNChQ+UO5ZszZw5+/vlnxMbGimWTJ09GTEwMIiMj5bYhCAI6deqEtm3bYvv27QrFVRNeW6p+5m4pfSWP4kqbU6UmXLfK5oTievXqhfbt2yMkJEQse/PmjfgtcJF58+aJKzK0bNkSurq674xLmdf28r10jNx66Z3HPDDJrVaOVAn6vvT3WYre/lPTV//JGn9PoXp/vVd6Z2PR6j81IS+Q+ty/fx92dnaIjo5G+/btNR0O1VJV+TrU+Oo/oaGhsLOzg1QqhbOz8zsngjt//jycnZ0hlUrRtGlTbN68WWb7zZs3MWLECNja2kIikci8SSpPu0Sa9OT1k3dXqkX8/Pywbds2bN++HXFxcZg5cyYSEhLg4+MDoHAI/pgx/zcKzMfHBw8ePICfnx/i4uKwfft2hIeH48svvxTrLFy4ECdOnMC9e/cQExODCRMmICYmRjwmUXXXbVe6zKMmUTYnAEBMTAxiYmLw8uVLPHnyBDExMWLHq1QqRZs2bWQe9erVg7GxMdq0aaNQh4qyOtk1gI2pQZl1bE0N0NFWfd+sERERUflptFNl//798PX1xdy5cxEdHY3u3btjwIABSEhIkFs/Pj4eAwcORPfu3REdHY2vv/4a06dPx6FDh8Q6WVlZaNq0KZYvX17qcqjKtkukaWb6ZpoOoUoZOXIkQkJCsGjRIrRv3x6//fYbjh07BhsbGwBAcnKyzP9nOzs7HDt2DOfOnRNX9Vm/fr24xj0APH/+HBMnToSDgwPc3d2RlJSE3377TZzAi4iqLmVzAgA4OTnByckJUVFR2LNnD5ycnDBw4EBNhA+gcE6YgAEO0CplmggtCeA/wKFWTlJLVFvs3r1bZjnZ4o/WrUuObn/b0qVLS91/wIABFRa3j49Pqe3yy6nqh9eh8jR6+4+rqys6dOiATZs2iWUODg4YNmxYqUP4jxw5IrMOtY+PD/766y+5Q/htbW3h6+tb4j4sZdsFSi6TWDT5HG//ocogCAIGHR6E5zmKzVJd02//qar42pImKHr7z3lD2bk4/viscD4hXrcVR5XX9viNFCz/JQ73i01aa2tqAP8BDrV6OWXe/lO5mBc0IzMzE48fP5a7rU6dOmJHcWmePn2Kp0+fyt2mr6+PJk2alDtGeVJTU0udQ8rExASNGjWqkHapYvA6VJ7GJqrNyclBVFRUiQmK3N3dcfHiRbn7REZGwt3dXaasf//+CA8PR25urkJrY6vSLsClU0mzJBIJZjnPQqD86T+omhMEAVfin+JxZjbMjfXQya4Bv40mqqU82ligf2tzXIl/itTMbJibSNHRtj5zQhkG5v7fiOWF/76mwUiIysfY2BjGxsYq79+gQQOVVwAqj0aNGrHjpAbhdag8jXWqpKWlIT8/v8TM/Obm5iVm8C+SkpIit35eXh7S0tJgafnu2ZdVaRfg0qmkeX1s+oir+1DNcfxGCpb9EiezlKqNqQECavm30kS1mUQigWtT+SuTEQHA7tWKjVAbPUv+BNVERKQ+Gl9S+e1vXgRBKPPbGHn15ZWru913LZP478+v4dctzkrFQES12/EbKZiyOwoFb92E+SA9C1N2RyF0tDM7VkgUOV/+h6h/vfX8q5ZccpdqHo5AISKiqkpjnSoNGzaEtrZ2idEhqampJUaRFLGwsJBbX0dHB6amin2jo0q76iZvHhUiql0EQcCyX+JKdKgUKRCA5b/EoX9rcw77r+WKlkktfaakspdIJSIiIqKKo7HVf3R1deHs7IxTp07JlJ86dQpdunSRu4+bm1uJ+idPnoSLi4tC86mo2i4RkbpdiX8qc8uPPPfTs/Dn/WeVFBERERERESlLo7f/+Pn5wdPTEy4uLnBzc8PWrVuRkJAgLnkUEBCApKQk7NxZuBqOj48PNmzYAD8/P3h7eyMyMhLh4eHYu3eveMycnBzExsaKPyclJSEmJgZGRkZo3ry5Qu1WNK7uQ6oqa1Ufql4eZ2a/uxKAxxm8lYMU0/T/T9R/6LG01DojuvN6IiIiIlInjXaqjBw5Eunp6Vi0aBGSk5PRpk0bHDt2TFymKTk5GQkJCWJ9Ozs7HDt2DDNnzsTGjRvRuHFjrF+/HiNG/N9Seo8ePYKTk5P4fNWqVVi1ahV69uyJc+fOKdSuqvpOiirX/kRU8yQvlj/XUkcAkUaFP7u9XFTq/uYmpX9AJlJW0TLKRERV2auMAmS/LuX+WAB6+hIYmmhswL3a2drawtfXF76+vpoOhYrJfJWMN9nPS90u1asHY8N3L5RSXfA6VJ3GJ6qdMmUKpkyZIndbREREibKePXvi2rXSJyuztbUVJ69VtV0ioqrA1tQAHW3razoMIiKiSvMqowBHtr9GQX7pdbS0gSHj9WtUx4qitm7dij179uDatWvIzMzEs2fPUK9ePU2HpbD09HS0a9cOSUlJVTr2zFfJ2HfkQ+QX5JRaR1tLF58MOVyjOlYU8fTpUwQFBeHkyZNITExEw4YNMWzYMAQHB6Nu3bqaDq9Mf/75J/z9/REVFQWJRIKOHTvim2++Qfv27ct1XI13qlDN5vrDboXqXR4+uoIjIdKcP5qU3dG7EoH46lYw4l6YyG54AbyZ8keJ+vqbuqszPCIioioj+7VQZocKABTkF9YzNCm7Xk2UlZUFDw8PeHh4ICAgoNzHy83NVXhuSnWYMGEC3n//fSQlJVVam6p4k/28zA4VAMgvyMGb7Oe1rlPl0aNHePToEVatWgVHR0c8ePAAPj4+ePToEQ4ePKjSMSvjOszMzET//v0xdOhQhIaGIi8vD0FBQejfvz8ePnxYrvZrX/cuEVE1x+XbiYiIKkZBQQFWrFiB5s2bQ09PD9bW1liyZAkA4Pr16+jduzf09fVhamqKiRMn4uXLl+K+48aNw7Bhw7Bq1SpYWlrC1NQUU6dORW5urlgnNTUVgwcPhr6+Puzs7LB7t2JfQBbx9fWFv78/OnfurPS53b9/HxKJBAcOHECvXr0glUqxa9cuAMCOHTvg4OAAqVQKe3t7hIaGlthv37596NKlC6RSKVq3bi1OraCoTZs24fnz5/jyyy+Vjr22qcrXYZs2bXDo0CEMHjwYzZo1Q+/evbFkyRL8/PPPyMvLe+f+mroOb926hWfPnmHRokVo1aoVWrdujaCgIKSmpspMOaIKjlRRo+h1in3QcZrBuVeKkxQYo/PBI++sd+mjIZUQDZFm7J/YGVgZq+kwiIiIarWAgACEhYVh7dq16NatG5KTk/H333+LI0Q6d+6MP//8E6mpqfDy8sK0adNkpiw4e/YsLC0tcfbsWdy5cwcjR45E+/bt4e3tDaDwA29iYiLOnDkDXV1dTJ8+HampqZV6jnPmzMHq1auxY8cO6OnpISwsDEFBQdiwYQOcnJwQHR0Nb29vGBoaYuzYseJ+X331FUJCQuDo6Ig1a9ZgyJAhiI+Ph6npu+frio2NxaJFi3D58mXcu3evIk+vRqhu1+GLFy9gYmICHR3Fuxcq+zps1aoVGjZsiPDwcHz99dfIz89HeHg4WrduXe65VdmpQkRUBbg2NcVrTQdBRETVwuhZhpoOoUbKzMzEunXrsGHDBvFDXLNmzdCtWzeEhYXh9evX2LlzJwwNC1//DRs2YPDgwVixYgXMzc0BAPXr18eGDRugra0Ne3t7DBo0CKdPn4a3tzdu376NX375BZcuXYKrqysAIDw8HA4ODpV6nr6+vhg+fLj4PDg4GKtXrxbL7OzsEBsbiy1btsh8mJ02bZq4QMimTZtw/PhxhIeHY/bs2WW2l52djVGjRmHlypWwtrZmp8o7VLfrMD09HcHBwZg0aZJS+1X2dWhsbIxz585h6NChCA4OBgC0bNkSJ06cUKozSB52qhARVSU6jzQdAVVD9+r+35LKRESkmri4OGRnZ6NPnz5yt7Vr1078IAsAXbt2RUFBAW7duiV+mG3dujW0tbXFOpaWlrh+/bp4DB0dHbi4uIjb7e3tK32y1uLtP3nyBImJiZgwYYI4igEA8vLySkw66ubmJv5cdB5xcXHvbC8gIAAODg747LPP1BB9zVedrsOMjAwMGjQIjo6OCAoKUmrfyr4OX79+jfHjx6Nr167Yu3cv8vPzsWrVKgwcOBB//vkn9PX1lYq/OHaqqJn93yHvrPN68u+caFIFnQ5vEn++8uFkDUZCRFR5DLY3BQDsXv1Kw5EQUVXTZd9fCtW7+Em7Co6kZijrQ5UgCJBIJHK3FS9/e7JLiUSCgoIC8Rhv19eE4h/Ii2ILCwsTRy0UKf6hvDSKnMuZM2dw/fp1cRLTotehYcOGmDt3LhYuXKhw7LVBdbkOMzMz4eHhASMjIxw+fFjpiV4r+zrcs2cP7t+/j8jISGhpaYll9evXx08//YRPPvlEmfBlcKJaIiKiamD0LEOZR4Phv2F5w87ig4iIyqdFixbQ19fH6dOnS2xzdHRETEwMXr36vw7uCxcuQEtLCy1btlTo+A4ODsjLy8PVq1fFslu3buH58+fljl1V5ubmaNKkCe7du4fmzZvLPOzs7GTqXrp0Sfw5Ly8PUVFRsLe3f2cbhw4dwl9//YWYmBjExMRg27ZtAIDff/8dU6dOVe8J1QDV4TrMyMiAu7s7dHV1ceTIEUilUoX3lacyrsOsrCxoaWnJdMAUPS/q1FEVR6oQERFVQ2b6ZjLP+3aR37ES4REBZ3OuGEVE1YOevgRa2ihzWWUt7f/H3p3HRVX9/wN/zbDNgLIoiKRsIcqiHxc0QcqNQtTU0tKK/OhHQcmVqFw+hqDiwkcF6qNYkIF+1bQysz6V5oJ+3FOE8qNIbiQJCAoKgqxzf3/4Y3JkmRlkmGF4PR+P+4i555x73/fc05E5nHvuo3zNTSKRYOHChViwYAGMjY3h6+uLgoICXLx4EYGBgYiIiMCUKVMQGRmJgoICzJ07F5MnT5Y/cqFMjx49EBAQgODgYCQkJMDQ0BChoaFqPXaQl5eHvLw8XL16FcCjN8G0b98eDg4O6NChQ5OuOzIyEvPmzYO5uTlGjhyJiooKnDt3DkVFRQgLC5Pn27hxI1xdXeHu7o7Y2FgUFRVh2rRpSo/v4uKi8PnOnTsAHn25b+lHn1QlMbGEgdi40dcqG4iNITGxbP5z63g7LCkpgb+/P8rKyrBt2zYUFxejuLgYAGBjY6PSzJL6aLodvvTSS/jggw8we/ZszJ07FzKZDGvWrIGhoSGGDRvWpJhrcVCFiEiD7D5MBZL6aTsM0kNetl6wb2+P7JLsBvM4tHdAv05sf0TUepiZizF2mhQVD4UG85hIRTAz18yE+/DwcBgaGmLp0qXIycmBnZ0dQkJCYGpqiv3792P+/PkYMGAATE1NMWHCBMTExKh1/KSkJAQFBWHIkCGwtbVFVFQUwsPDVS7/ySefKDwuM3jwYPlxp06dqlYstYKCgmBqaoq1a9diwYIFMDMzQ69evRAaGqqQb82aNYiOjkZaWhpcXFywd+9eWFtbN+mcuq69mR3eGLsH5RX3GswjMbFEezM7jZxfl9thamoqzpw5AwDo1q2bQtqNGzfg5OSkViy1NN0O3dzc8P3332PZsmXw8fGBWCxG3759sW/fPtjZPd19FAm1D1WRWv7880/Y29sjOzsbXbt2BfDolcqqrKkCoM2sqTLwG+XvPBfJ2qt0LJnBLfnPXFOl6epru9Q8Gqrbr1QYVHn9H+fx8J1jKi1Ue6Lnv/DiTL6anYBDfxxC2NEwyIS601bFIjFihsTAz7HuQnePY5+gOaxb0jRNranCtkuPy8rKgrOzM9LS0tCnTx9th0NtlC63Q85UIY06Mz6w8QwZ38P7Isf1SL+9/o/zKuW77BYKt6uNvw6O6HF+jn6IGRKDmNQY3Cy5Kd/v0N4BYV5hSgdUiIiIiOjpcKFa0i73MdqOgKjV4SwVepyfox/+8+p/kDQiCWsHr0VyQDL+8+p/OKBCRNTKbN++He3atat38/T0VFp+1apVDZYfOXKkxuIOCQlp8LwhISEaOy9pBtuh+jhTpRn1nZ/6aPo+qeX0a2MBQQD+OAk8yMNzV/K1HRIRUasiEonQv3N/bYdBRERPYezYsXVeJ1tLldfVhoSEYOLEifWmqbMY7pOcnJzQ2IoRy5cvx/vvv19vmrm5eZPPS9rBdqg+DqqQbhCJACffRz9f2aTdWIi06HK3fzWa3nc+Z6kQERHpo/bt26N9e9XWGqxPhw4dmvwGoKfRqVMndOrUqcXPS5rBdqg+Dqo0s7ayAK0mcRFaIiIiIiIiag24pgoRtUrx8fFwdnaGRCKBl5cXjh1r/NG7o0ePwsvLCxKJBM8++yw++eSTBvPu3LkTIpEIr7zySjNHTURE1HxOvtFbpY2IiDSHM1VIJ0V8pfwVtMteV+2NKvrs+W13Vcp3/O2OGo6kZe3atQuhoaGIj4+Hr68vPv30U4wcORKXLl2Cg4NDnfw3btzAqFGjEBwcjG3btuHEiROYNWsWbGxsMGHCBIW8f/zxB95//3288AJnnRERERERUeM4qELUyr1zW6LtEFpcTEwMpk+fjqCgIABAXFwc9u/fj02bNmH16tV18n/yySdwcHBAXFwcAMDd3R3nzp3DunXrFAZVampqEBgYiGXLluHYsWO4d+9eS1wOERERERG1UhxUIdIRSz4tVSnfyplmGo5Et1VWViI1NRWLFi1S2O/v74+TJ0/WW+bUqVPw9/dX2DdixAhs3rwZVVVV8pXMly9fDhsbG0yfPl3p40QAUFFRgYqKCvnnkpISdS9HARehJSIiIiJqXTioomGCIOCXG4W4XVIB2/YmeM65A0QikbbDIh225MztRtPLzjz6r+nnz7ZANLrnzp07qKmpga2trcJ+W1tb5OXl1VsmLy+v3vzV1dW4c+cO7OzscOLECWzevBnp6ekqx7J69WosW7ZM7WsgIiKiht0rkaG0vOFXp5pJRLBsrz9LQzo5OSE0NBShoaHaDoUeU/YgFxXl9xpMN5FYwrSdXcsFpGFsh03HQRUN2ve/PKz+KQN/3C2T73PsaIrFI90R0LOzFiNrea9+p3yNFADYM5brpJBqnhycFASh0QHL+vLX7i8pKcHbb7+NxMREWFtbqxzD4sWLERYWJv9869YteHh4qFyeiIiIFN0rkSF210NU1zScx9AAeHeSVK8GVlSVkJCAHTt24Pz58ygpKUFRUREsLS21HZZS9f2OtmnTJoSEhGghGuXKHuTip29ehaymssE8YgNjjBy/R68GVlQ1c+ZMHDx4EDk5OWjXrh0GDRqE6OhouLm5aTu0Rs2fPx/Hjx/H//73P7i7u6v1x9TGcFBFQ/b9Lw+ztqdC9sQg+x93yzBreyriA73a3MAKNb/dx5Svp3KwewsE0oKsra1hYGBQZ1ZKfn5+ndkotTp37lxvfkNDQ3Ts2BEXL15EVlYWxowZI0+XyWQAAENDQ2RmZsLFxaXOcU1MTGBiYiL/XFxc3OTrIiIiIqC0XGh0QAUAqmse5bNs3zIx6ZKysjIEBAQgICAAixcvfurjPf4YtKYlJSUhICBA/tnCwqJFztsUFeX3Gh1QAQBZTSUqyu+1yUEVLy8vBAYGwsHBAYWFhYiMjIS/vz9u3LgBAwMDtY/XUu1QEARMmzYNZ86cwW+//dZsx217w7stQBAErP4po86ASi2ZAKz5KUP+l3IiUp2xsTG8vLxw4MABhf0HDhzAoEGD6i3j4+NTJ//PP/+M/v37w8jICG5ubrhw4QLS09Pl29ixYzFs2DCkp6fD3t6+SbGWL/i7ShsRERHpBplMhujoaHTr1g0mJiZwcHDAypUrAQAXLlzA8OHDIZVK0bFjR8yYMQMPHjyQl506dSpeeeUVrFu3DnZ2dujYsSNmz56NqqoqeZ78/HyMGTMGUqkUzs7O2L59u1rxhYaGYtGiRfD29lb72rKysiASifDll19i6NChkEgk2LZtG4BHAx7u7u6QSCRwc3NDfHx8nXI7d+7EoEGDIJFI4OnpiSNHjqh1fktLS3Tu3Fm+SaVSta+hrdD1djhjxgwMHjwYTk5O6NevH6KiopCdnY2srCylZbXZDj/++GPMnj0bzz7bvMsocFBFA365UajwyE99su6W4WxWUQtFRKRfwsLC8Nlnn+Hzzz9HRkYG3n33Xdy8eVM+hXTx4sX4+9//GqwICQnBH3/8gbCwMGRkZODzzz/H5s2b8f777wMAJBIJevbsqbBZWlqiffv26NmzJ4yNjbVynUSkuvj4eDg7O0MikcDLy6vRxaZzc3Px1ltvoUePHhCLxfU+P56YmIgXXngBVlZWsLKywosvvohffvlFg1dARLpg8eLFiI6ORnh4OC5duoQdO3bA1tZWPkPEysoKZ8+exVdffYWDBw9izpw5CuVTUlJw7do1pKSkYMuWLUhOTkZycrI8ferUqcjKysLhw4fx9ddfIz4+Hvn5+S16jQsXLsS8efOQkZGBESNGIDExEUuWLMHKlSuRkZGBVatWITw8HFu2bFEo98EHH+C9995DWloaBg0ahLFjx+Lu3bsqn3fOnDmwtrbGgAED8Mknn8hnBVNdrakdlpaWIikpCc7Ozmr9IVJb7VAT+PiPBtwuqVCeCcDt4nINR0L67NTSUrTNpWqBSZMm4e7du1i+fDlyc3PRs2dP/Pjjj3B0dATw6AvTzZs35fmdnZ3x448/4t1338XGjRvxzDPP4OOPP1Z4nTIRtV67du1CaGgo4uPj4evri08//RQjR47EpUuX4ODgUCd/RUUFbGxssGTJEsTGxtZ7zCNHjuDNN9+U/zXsX//6F/z9/XHx4kV06dJF05dERFpQUlKCjz76CBs2bMCUKVMAAC4uLnj++eeRmJiIhw8fYuvWrTAze/Qmxg0bNmDMmDGIjo6WP4JsZWWFDRs2wMDAAG5ubhg9ejQOHTqE4OBg/P777/jpp59w+vRpDBw4EACwefNmuLu7t+h1hoaGYvz48fLPK1aswPr16+X7nJ2dcenSJXz66afyegAeDYrU/u60adMm7Nu3D5s3b8aCBQuUnnPFihXw8/ODVCrFoUOH8N577+HOnTv48MMPm/nqWr/W0g7j4+OxYMEClJaWws3NDQcOHFDrD5HaaIeawkEVDbBtb6I8EwBbc+XrYRBR/WbNmoVZs2bVm/b4SHytIUOG4Px51RdCru8YRNowaOevKuU7+UZvDUeiu2JiYjB9+nQEBQUBAOLi4rB//35s2rQJq1evrpPfyckJH330EQDg888/r/eYT06FTkxMxNdff41Dhw4pzIQjamk+Xx1RmufU60M1Hoc+ysjIQEVFBfz8/OpN6927t/yLLAD4+vpCJpMhMzNT/mXW09NTYU0JOzs7XLhwQX4MQ0ND9O/fX57u5ubW4gvNPn7+goICZGdnY/r06QgODpbvr66urrPmiY+Pj/zn2uvIyMhQ6ZyPD5706dMHALB8+XIOqtSjtbTDwMBAvPTSS8jNzcW6deswceJEnDhxAhKJat9xtdEONYWDKhrwnHMHOHY0bfQRIKeOphjgZNWCUbUuy17nW4CIiEi5yspKpKamYtGiRQr7/f39cfLkyWY7T1lZGaqqqtChQ4cG81RUVKCi4q/ZqiUlJc12fiLSvMbW+GjsLYOP739ysU2RSCR/zOXxNw9q0+NfyGtjS0xMlM9aqKXKgqNNvRZvb28UFxfj9u3bDb5ooK1qLe3QwsICFhYWcHV1hbe3N6ysrLBnzx68+eabKpXXhXbYXLimigaIRCIsHukOcQP3ViwCFo101/rNp7Zhg8NZbYdARKQxd+7cQU1NTZ1fym1tbeu89etpLFq0CF26dMGLL77YYJ7Vq1fLf8m0sLDgK9aJWhlXV1f54ylP8vDwQHp6OkpLS+X7Tpw4AbFYjO7dVXvVoru7O6qrq3Hu3Dn5vszMTNy7d++pY28qW1tbdOnSBdevX0e3bt0UNmdnZ4W8p0+flv9cXV2N1NTUJr9CNy0tDRKJpFW8DrqltdZ2KAiCwh8W1KGtdthcOFNFQwJ6dkZ8oBfW/JSBrMdmrDh1NMWike58nTLVsXLmo9HasjNaDoSIqBV68g8Vjf01T13/+te/8MUXX+DIkSONTmtevHgxwsLC5J9v3brFgRUiNZlJRDA0QKOvVTY0eJSvuUkkEixcuBALFiyAsbExfH19UVBQgIsXLyIwMBARERGYMmUKIiMjUVBQgLlz52Ly5Mkqz7To0aMHAgICEBwcjISEBBgaGiI0NFStt+Dk5eUhLy8PV69eBfDoTTDt27eHg4NDozPpGhMZGYl58+bB3NwcI0eOREVFBc6dO4eioiKFPm3jxo1wdXWFu7s7YmNjUVRUhGnTpik9/vfff4+8vDz4+PhAKpUiJSUFS5YswYwZM2BiotqyCS3NRGIJsYFxo69VFhsYw0Ri2ezn1vV2eP36dezatQv+/v6wsbHBrVu3EB0dDalUilGjRjX5ujXdDgHg6tWrePDgAfLy8vDw4UOkp6cDeDRY9TQvpuCgigYF9OyMEZ62+OVGIfJLKmBrLsEAJyvOUKFGmX7e8PKzp5aWNphGRNQWWVtbw8DAoM6slPz8/GaZUr5u3TqsWrUKBw8exN/+9rdG85qYmCh8QSguLn7q8xO1NZbtxXh3khSl5UKDecwkIli218yE+/DwcBgaGmLp0qXIycmBnZ0dQkJCYGpqiv3792P+/PkYMGAATE1NMWHCBMTExKh1/KSkJAQFBWHIkCGwtbVFVFQUwsPDVS7/ySefYNmyZfLPgwcPlh936tSpasVSKygoCKampli7di0WLFgAMzMz9OrVq86b0dasWYPo6GikpaXBxcUFe/fuhbW1tdLjGxkZIT4+HmFhYZDJZHj22WexfPlyzJ49u0nxtgTTdnYYOX4PKsrvNZjHRGIJ03Z2Gjm/LrdDiUSCY8eOIS4uDkVFRbC1tcXgwYNx8uRJdOrUqSmXC0Dz7bD2HEePHpV/7tu3LwDgxo0bcHJyanLsIqH2oSpSy59//gl7e3tkZ2eja9eu2g6H2ognB1Weva28zCsvnlVYsI5tV3OerNvyBaotZin511YNR0atmaYXqtWHPmHgwIHw8vJCfHy8fJ+HhwfGjRtX70K1jxs6dCj69OmDuLi4Omlr165FVFQU9u/fD29vb7Xj0oe6Jd3TEgvVsu3S47KysuDs7Iy0tDT5IrNELU2X26HW11SJj4+Hs7MzJBIJvLy8cOzYsUbzHz16FF5eXpBIJHj22WfxySef1Mmze/dueHh4wMTEBB4eHtizZ49CemRkJEQikcLWuTMfx6HW57pt/dsrL56Vb0RE+i4sLAyfffYZPv/8c2RkZODdd9/FzZs3ERISAuDRYzlPvrEnPT0d6enpePDgAQoKCpCeno5Lly7J0//1r3/hww8/xOeffw4nJyf5lPsHDx606LURERGRbtPq4z+7du1CaGgo4uPj4evri08//RQjR47EpUuX4ODgUCf/jRs3MGrUKAQHB2Pbtm04ceIEZs2aBRsbG/m7qk+dOoVJkyZhxYoVePXVV7Fnzx5MnDgRx48fV1hJ2NPTEwcPHpR/VmVVYSIidXAGClHLmDRpEu7evYvly5cjNzcXPXv2xI8//ghHR0cAQG5uLm7evKlQpnbKLwCkpqZix44dcHR0RFZWFoBHf/SprKzEa6+9plAuIiICkZGRGr0eImqbtm/fjpkzZ9ab5ujoiIsXLzZaftWqVVi1alW9aS+88AJ++umnp46xPiEhIdi2bVu9aW+//Xa9fwQn3cV2qD6tPv4zcOBA9OvXD5s2bZLvc3d3xyuvvFLvdN2FCxfiu+++U3gPdUhICH799VecOnUKwKNfrIqLixVuVkBAAKysrPDFF18AeDRT5dtvv5UvTNMUnBZJ2qDqmiphvRRnqPDxn5bBuiVN4OM/rRfrljSBj//or5KSEty+Xf+z3UZGRvKB4oYUFhaisLCw3jSpVIouXbo8dYz1yc/Pb3ANKXNz86daZ4NaHtuh+rQ2U6WyshKpqalYtGiRwn5/f3+cPHmy3jKnTp2Cv7+/wr4RI0Zg8+bNqKqqgpGREU6dOoV33323Tp4nn5W+cuUKnnnmGZiYmGDgwIFYtWoVnn224QVCKyoqFF4RVVJSosplEjUrn+Vmdfep8MsVEREREem29u3bo3379k0u36FDhya/AehpdOrUiQMneoTtUH1aG1S5c+cOampq6qzMb2trW2cF/1p5eXn15q+ursadO3dgZ2fXYJ7Hjzlw4EBs3boV3bt3x+3btxEVFYVBgwbh4sWL6NixY73nXr16tcJK20S64mn/GkVEuq2pM1CISD/x330iIt2i9YVqn3y9sCAIjb5yuL78T+5XdsyRI0diwoQJ6NWrF1588UX88MMPAIAtW7Y0eN7Fixfj/v378u3xxeyIiIiIiIiIqO3R2kwVa2trGBgY1JmVkp+fX2emSa3OnTvXm9/Q0FA+w6ShPA0dE4D8HdhXrlxpMI+JiQlMTEzknxt6XouIiIiIiIiI2gatzVQxNjaGl5cXDhw4oLD/wIEDGDRoUL1lfHx86uT/+eef0b9/fxgZGTWap6FjAo/WS8nIyICdnV1TLoWIiIiIiIiI2iCtvlI5LCwMkydPRv/+/eHj44OEhATcvHkTISEhAB49cnPr1i1s3frotaQhISHYsGEDwsLCEBwcjFOnTmHz5s3yt/oAwPz58zF48GBER0dj3Lhx2Lt3Lw4ePIjjx4/L87z//vsYM2YMHBwckJ+fj6ioKBQXF2PKlCkqxy6TyQA8ek0jUWtS22Zr2zA1H/YL1BqxT9Ac9gnUWrFfICJSnVYHVSZNmoS7d+9i+fLlyM3NRc+ePfHjjz/KX9OUm5uLmzdvyvM7Ozvjxx9/xLvvvouNGzfimWeewccff4wJEybI8wwaNAg7d+7Ehx9+iPDwcLi4uGDXrl0YOHCgPM+ff/6JN998E3fu3IGNjQ28vb1x+vRppa+Helzta6aee+65p60GIq24ffs2HBwctB2GXmG/QK0Z+4Tmxz6BWjtt9Qt5pTW4Xy40mG4hEaGzmUELRqRZTk5OCA0NRWhoqLZDoceUl+Sisvxeg+nGEktI2uvPkw5sh00nEmpXeiW1VFdXIy0tDba2thCLG3+KqqSkBB4eHrh06dJTvZ5K37GeVPc0dSWTyXD79m307dsXhoZaHVfVO+r0C09i+1eOddS4ptYP+wTNYZ+gOawf5Vrr7wp5pTV4a+89VDYyScZYDOwYZ6k3AyvqfJlNSEjAjh07cP78eZSUlKCoqAiWlpYaj7E5JCcnIyYmBr///jssLS3x2muvYcOGDdoOq17lJbk4uWs8ZDWVDeYRGxhj0KRv9GZgRZ12OHPmTBw8eBA5OTlo164dBg0ahOjoaLi5uWk+0Cb69ddfsWbNGhw/fhx37tyBk5MTQkJCMH/+/Kc+Nn97aiJDQ0MMGDBApby1i9p26dIF5ubmmgyrVWM9qe5p64p/jdYMdfqFJ7H9K8c6atzT1A/7BM1gn6A5rB/lWuvvCvfLhUYHVACgUvYoX2ezlolJl5SVlSEgIAABAQFYvHjxUx+vqqpKvjalJsXExGD9+vVYu3YtBg4ciPLycly/fl3j522qyvJ7jQ6oAICsphKV5ff0ZlBFHV5eXggMDISDgwMKCwsRGRkJf39/3LhxAwYG6g92tkQ7TE1NhY2NDbZt2wZ7e3ucPHkSM2bMgIGBAebMmfNUx9b6K5WJiIiIiIh0gUwmQ3R0NLp16wYTExM4ODhg5cqVAIALFy5g+PDhkEql6NixI2bMmIEHDx7Iy06dOhWvvPIK1q1bBzs7O3Ts2BGzZ89GVVWVPE9+fj7GjBkDqVQKZ2dnbN++Xa34QkNDsWjRInh7e6t9bVlZWRCJRPjyyy8xdOhQSCQSbNu2DQCQlJQEd3d3SCQSuLm5IT4+vk65nTt3YtCgQZBIJPD09MSRI0dUOm9RURE+/PBDbN26FW+99RZcXFzg6emJMWPGqH0NbYWut8MZM2Zg8ODBcHJyQr9+/RAVFYXs7GxkZWUpLautdjht2jR8/PHHGDJkCJ599lm8/fbb+Mc//oFvvvlGrWuvD2eqEBERERER4dGLMhITExEbG4vnn38eubm5uHz5snyGiLe3N86ePYv8/HwEBQVhzpw5SE5OlpdPSUmBnZ0dUlJScPXqVUyaNAl9+vRBcHAwgEdfeLOzs3H48GEYGxtj3rx5yM/Pb9FrXLhwIdavX4+kpCSYmJggMTERERER2LBhA/r27Yu0tDQEBwfDzMxM4UUeH3zwAeLi4uDh4YGYmBiMHTsWN27cQMeOHRs934EDByCTyXDr1i24u7ujpKQEgwYNwvr162Fvb6/py22VWlM7LC0tRVJSEpydndW6ny3dDutz//59dOjQQe1ydQikceXl5UJERIRQXl6u7VB0GutJdawr/cN7qhzrqHGsH/3C+9k41o9yrbWOLt+pEnz/747S7fKdqmY/d3FxsWBiYiIkJibWSUtISBCsrKyEBw8eyPf98MMPglgsFvLy8gRBEIQpU6YIjo6OQnV1tTzP66+/LkyaNEkQBEHIzMwUAAinT5+Wp2dkZAgAhNjYWLViTUlJEQAIRUVFKpe5ceOGAECIi4tT2G9vby/s2LFDYd+KFSsEHx8fhXJr1qyRp1dVVQldu3YVoqOjlZ539erVgpGRkdCjRw9h3759wqlTpwQ/Pz+hR48eQkVFhcrxt6T7+ZeEA5/0U7rdz7/U7OduLe1w48aNgpmZmQBAcHNzE65evapSOW21wyedPHlSMDIyEn7++We1yz6Jj/+0ABMTE0RGRsLExETboeg01pPqWFf6h/dUOdZR41g/+oX3s3GsH+VYR+rLyMhARUUF/Pz86k3r3bs3zMz+WsjF19cXMpkMmZmZ8n2enp4Ka0rY2dnJZwBkZGTA0NAQ/fv3l6e7ubm1+EKzj5+/oKAA2dnZmD59Otq1ayffoqKicO3aNYVyPj4+8p9rryMjI0Pp+WQyGaqqqvDxxx9jxIgR8Pb2xhdffIErV64gJSWl+S5MT7SWdhgYGIi0tDQcPXoUrq6umDhxIsrLy1Uu39Lt8HEXL17EuHHjsHTpUrz00ktqla0PH/8hIiIiIqI2TyqVNpgmCAJEIlG9aY/vf3KxTZFIBJlMJj/Gk/m14fEv5LWxJSYmYuDAgQr5VFlwVJVrsbN7tJCrh4eHfJ+NjQ2sra1x8+ZNlWJuS1pLO7SwsICFhQVcXV3h7e0NKysr7NmzB2+++aZK5Vu6Hda6dOkShg8fjuDgYHz44Ycql2sMZ6oQEREREVGb5+rqCqlUikOHDtVJ8/DwQHp6OkpLS+X7Tpw4AbFYjO7du6t0fHd3d1RXV+PcuXPyfZmZmbh3795Tx95Utra26NKlC65fv45u3bopbM7Ozgp5T58+Lf+5uroaqampKr1C19fXFwAUZlIUFhbizp07cHR0bKYr0R+ttR0KgoCKioomlW2Jdgg8mqEybNgwTJkyRb7wb3PgTBUiIiIiItIJFhIRjMVo9LXKxuJH+ZqbRCLBwoULsWDBAhgbG8PX1xcFBQW4ePEiAgMDERERgSlTpiAyMhIFBQWYO3cuJk+eDFtbW5WO36NHDwQEBCA4OBgJCQkwNDREaGhoozMTnpSXl4e8vDxcvXoVwKM3wbRv3x4ODg5NXnAzMjIS8+bNg7m5OUaOHImKigqcO3cORUVFCAsLk+fbuHEjXF1d4e7ujtjYWBQVFWHatGlKj9+9e3eMGzcO8+fPR0JCAszNzbF48WK4ublh2LBhTYpZ04wllhAbGDf6WmWxgTGMJZbNfm5db4fXr1/Hrl274O/vDxsbG9y6dQvR0dGQSqUYNWpUk69b0+2wdkDF398fYWFhyMvLA/BoJoyNjU2T4wY4qEJERERERDqis5kBdoyzxP1yocE8FhIROpspfySgKcLDw2FoaIilS5ciJycHdnZ2CAkJgampKfbv34/58+djwIABMDU1xYQJExATE6PW8ZOSkhAUFIQhQ4bA1tYWUVFRCA8PV7n8J598gmXLlsk/Dx48WH7cqVOnqhVLraCgIJiammLt2rVYsGABzMzM0KtXL4SGhirkW7NmDaKjo5GWlgYXFxfs3bsX1tbWKp1j69atePfddzF69GiIxWIMGTIE+/btq/OYiq6QtLfDoEnfoLL8XoN5jCWWkLS308j5dbkdSiQSHDt2DHFxcSgqKoKtrS0GDx6MkydPolOnTk25XACab4dfffUVCgoKsH37doVXSDs6Oqr0KujGiITah6qIiIiIiIiIHpOVlQVnZ2ekpaWhT58+2g6H2ihdbodcU6UF1S7AQ3U9PrbHcT5qq9hH1I/9A7Vl7BfqYp9ARES6hIMqGpaTk4OsrCwUFxdDLGZ1N6SkpATl5eUoLy9XWJ2a6uIvkPqFfYRy7B9Uw75Bf7BfaBz7BNWwT2h9tm/frvA62cc3T09PpeVXrVrVYPmRI0dqLO6QkJAGzxsSEqKx85JmsB2qj4//aND27duxfv163L9/H8XFxfj222/lq1/TX7766iskJycjNzcXZmZm2LFjB+zt7SGTyfjL5GO++eYbtG/fHi+99FKjr1Oj1oN9hHLsH5Rj36Bf2C80jn2CcuwTWq+SkhLcvn273jQjIyOlb8opLCxEYWFhvWlSqRRdunR56hjrk5+fj+Li4nrTzM3Nn2qdDWp5bIfq46CKhiQnJ2POnDlYv3493NzcEB8fj4yMDJw/fx6Ghob8x///27JlC+bMmYOIiAjU1NQgJSUFN27cwNmzZ2Fubq7t8HTG7t278frrrwMAfvjhB4wcOZK/KLVy7COUY/+gHPsG/cJ+oXHsE5Rjn0BEpAUCNbsjR44I3bp1E7Zv3y7ft2vXLiE4OFi4fPmy8Oeffwrl5eVajFA3nDlzRnBzcxO2bdsm35eamip0795dOHHihBYj0y2XL18Whg4dKrz//vvCrFmzBCMjI+E///mPIAiCIJPJtBwdNQX7COXYPyjHvkG/sF9oHPsE5dgnEBFpB1+prAGlpaV47bXXMHr0aPm+zz//HKmpqUhJScHdu3cxZ84chIWFwdLSUnuBallWVhbs7OwwfPhw+b5+/fpBEARcv34dgwYN0mJ0uqOiogL9+vXDG2+8ATc3N4jFYrz66qvYs2cPRo8e3eb/ctkasY9Qjv2Dcuwb9Av7hcaxT1COfQIRkZZoeVBHb+Xm5sp/nj9/vmBvby/897//Fe7duyds2rRJkEqlwpkzZ7QYofbdvn1bOHTokPxzRUWFIAiC0KdPH+GLL77QVlg66ebNm/KfCwsLhTlz5ij8BUoQBKG0tFQoLCzURnjUBOwjGsf+QTXsG/QL+4WGsU9QDfsEIqKWx+HqZib8/yVqOnfuDAAoKyvD4MGDcfr0abzwwguwsLBASEgILC0tcf78eW2GqnWdOnWS/8VJEAQYGRkBAIyNjVFSUiLfP3XqVFy4cEFrcWpTbXuyt7eX77OyskJUVBRmzJiBV199FT/99BMqKyvx+uuv49tvv9VSpKQq9hGqYf/QOPYN+oX9gnLsExrHPoGISHv4+E8ze3IhMFNTU4wfP15h3++//w57e3v06NGjJUPTaY/XmyAI8umpL7/8Mn755Rd89tln2gpNqxpaWM7CwgIrV66EWCzG+PHjYW9vj4cPH2Lv3r0tHCGpi32E+tg/1MW+Qb+wX1AP+4S62CcQEWkPZ6q0sMrKSrz//vswNzfHkCFDtB2OTqmurgYAiMViGBoa4q233sLVq1eRk5MDQ0ND1NTUaDlC3WJhYYE5c+bAyMgItra2uH79OgwNDeX1SK0T+4j6sX9QHfsG/cN+oS72Capjn6D7nJycEBcXp+0wqI1jO2w6Dqo8JUHFN1JXVFRg27ZtGDduHLKysvDjjz9CLBZDJpNpOELdoEo9GRgYAHj0C9I//vEPXLhwAf/73/9gZGSE6upqebo+U7U9AY/eIR8SEoJOnTohJSVFXk+GhpyApkvYRyjH/kE59g36hf1C49gnKKfvfUJeaSUyC8sa3PJKK7UdotYkJCRg6NChMDc3h0gkwr1797QdklLJyckQiUT1bvn5+doOr0GVxbkoy89ocKssztV2iFozc+ZMuLi4QCqVwsbGBuPGjcPly5e1HVaj7t69i4CAADzzzDMwMTGBvb095syZg+Li4qc+tu72pjps5cqVGDhwIF588UWIRCIIgtDgtMtaZWVluH37NmxsbPD999/L/0Kgy/+gPS1166k2zd7eHqWlpUhNTWU9NeLWrVsYMGAA9u/f3ybqqTVhH6Ec+wfl2DfoF/YLjWOfoFxb6RPySivxxg+XUSlreODIWCzCztFu6Gxm3IKR6YaysjIEBAQgICAAixcvfurjVVVVydco0pRJkyYhICBAYd/UqVNRXl6OTp06afTcTVVZnItLW8dDqGl4AE9kYAyPv38DY3O7FoxMN3h5eSEwMBAODg4oLCxEZGQk/P39cePGjSYNardEOxSLxRg3bhyioqJgY2ODq1evYvbs2SgsLMSOHTue7uAaXwpXz/z555+CtbW1MHr0aOHYsWPy/TKZTGnZyspKeb6qqiqNxagLmlJPtWnXr18XampqBEFgPalK3+upNWEfoRz7B+XYN+gX9guNY5+gXFvqEy7fLRV8vkhXul2+W6qR89fU1Ahr1qwRXFxcBGNjY8He3l6IiooSBEEQfvvtN2HYsGGCRCIROnToIAQHBwslJSXyslOmTBHGjRsnrF27VujcubPQoUMHYdasWUJlZaU8z+3bt4WXX35ZkEgkgpOTk7Bt2zbB0dFRiI2NVSvOlJQUAYBQVFSkcpkbN24IAIRdu3YJQ4YMEUxMTITPP/9cEARB+PzzzwU3NzfBxMRE6NGjh7Bx48Y65b744gvBx8dHMDExETw8PISUlBS1Yq6Vn58vGBkZCVu3bm1S+ZZQevuScD6un9Kt9PYljZy/tbTDWr/++qsAQLh69arSvLrSDgVBED766COha9euTS5fi4//qEEQBHTp0gXHjx/HzZs3ER0djaNHjwKA/C8GDZHJZDAyMpL/RaF2UTV91NR6qq0bZ2dnef2wnur35LPi+lxPrQn7COXYPyjHvkG/sF9oHPsE5dgntKzFixcjOjoa4eHhuHTpEnbs2AFbW1v5DBErKyucPXsWX331FQ4ePIg5c+YolE9JScG1a9eQkpKCLVu2IDk5GcnJyfL0qVOnIisrC4cPH8bXX3+N+Pj4Fn8EZuHChZg3bx4yMjIwYsQIJCYmYsmSJVi5ciUyMjKwatUqhIeHY8uWLQrlPvjgA7z33ntIS0vDoEGDMHbsWNy9e1ft82/duhWmpqZ47bXXmuuS9E5raoelpaVISkqCs7OzwhvIlNF2O8zJycE333zTPGuVPfWwTBtSXV0t//nkyZPCs88+K0yYMEE4fvy4fH99fzF4fN/u3buFP/74Q7OBahnrSTWsJ/3De6oc60g51pF+4f1sHOtHubZWR9qcqVJcXCyYmJgIiYmJddISEhIEKysr4cGDB/J9P/zwgyAWi4W8vDxBEB7NEHB0dFS4Z6+//rowadIkQRAEITMzUwAgnD59Wp6ekZEhAGjRmSpxcXEK++3t7YUdO3Yo7FuxYoXg4+OjUG7NmjXy9KqqKqFr165CdHS0WnELgiB4eHgI77zzjtrlWpI2Z6q0lna4ceNGwczMTAAguLm5qTRLRRC03w7feOMNQSqVCgCEMWPGCA8fPlS5bEM4XK2G2ufDFi5ciC1btkAkEuHbb7/FkiVLcOLECQB1/2IgPPa866efforAwEBcvXq15YNvQawn1bCe9A/vqXKsI+VYR/qF97NxrB/lWEctJyMjAxUVFfDz86s3rXfv3jAzM5Pv8/X1hUwmQ2Zmpnyfp6enwpoSdnZ28hkAGRkZMDQ0RP/+/eXpbm5usLS01MDVNOzx8xcUFCA7OxvTp09Hu3bt5FtUVBSuXbumUM7Hx0f+c+11ZGRkqHXuU6dO4dKlS5g+ffrTXYQeay3tMDAwEGlpaTh69ChcXV0xceJElJeXq1xeW+0wNjYW58+fx7fffotr164hLCxM5bIN4aCKmjZu3IiEhARMmzYNP/zwA44fP45r164hMjISJ0+eBPDXP2xP/oO2YMECbN++HcOHD9fmJbQI1pNqWE/6h/dUOdaRcqwj/cL72TjWj3Kso5YhlUobTHu8Xp/0+P4nF9sUiUTyN3bVDnypssCwJj3+hbw2tsTERKSnp8u3//3vfzh9+rTSY6l7LZ999hn69OkDLy8v9YJuQ1pLO7SwsICrqysGDx6Mr7/+GpcvX8aePXtULq+tdti5c2e4ublh3Lhx+PTTT7Fp0ybk5j7dm5w4qKKmX3/9FcOHD8dzzz2H7t27w9vbGz///DN+/fVXLF26FMeOHQMA+WvCgL/+Qfv8888xfvx4bYbfYlhPqmE96R/eU+VYR8qxjvQL72fjWD/KsY5ahqurK6RSKQ4dOlQnzcPDA+np6SgtLZXvO3HiBMRiMbp3767S8d3d3VFdXY1z587J92VmZmr1tci2trbo0qULrl+/jm7duilszs7OCnkf/3JbXV2N1NRUuLm5qXyuBw8e4Msvv+QsFSVaazsUBAEVFRVNKtuS7fDJmAE0Oe5aHFRRUe1CX1VVVXj48KF8f0VFBdzd3REVFYXjx49j6dKlSE9Pl6f/+9//xqJFi/D5559jwoQJLR12i2M9qYb1pH94T5VjHSnHOtIvvJ+NY/0oxzpqWRKJBAsXLsSCBQuwdetWXLt2DadPn8bmzZsRGBgIiUSCKVOm4H//+x9SUlIwd+5cTJ48Gba2tiodv0ePHggICEBwcDDOnDmD1NRUBAUFNToz4Ul5eXlIT0+XP8514cIFpKeno7CwsEnXDACRkZFYvXo1PvroI/z++++4cOECkpKSEBMTo5Bv48aN2LNnDy5fvozZs2ejqKgI06ZNU/k8u3btQnV1NQIDA5sca1ug6+3w+vXrWL16NVJTU3Hz5k2cOnUKEydOhFQqxahRo5p83Zpuhz/++COSkpLwv//9D1lZWfjxxx/xzjvvwNfXF05OTk2OG+CgSoNqpyDVqn0mbfz48di3bx927twJkUgEExMTAI+e5/L390fXrl3xt7/9DQBw+fJlJCQkYNOmTXr7DxrrSTWsJ/3De6oc60g51pF+4f1sHOtHOdYRYGFiCGNx41P5jcUiWJgYauT84eHheO+997B06VK4u7tj0qRJyM/Ph6mpKfbv34/CwkIMGDAAr732Gvz8/LBhwwa1jp+UlAR7e3sMGTIE48ePx4wZM9CpUyeVy3/yySfo27cvgoODAQCDBw9G37598d1336kVx+OCgoLw2WefITk5Gb169cKQIUOQnJxcZ4bAmjVrEB0djd69e+PYsWPYu3cvrK2tVT7P5s2bMX78eFhZWTU51pZiKLGEyMC40TwiA2MYSiw1cn5dbocSiQTHjh3DqFGj0K1bN0ycOBFmZmY4efKkWm35SZpuh1KpFImJiXj++efh7u6O0NBQvPzyy/jPf/7T5JjlnnqpWz305GrpGzZsEH7++Wf56trvvfeeYGxsLGzevFnIzc0VCgoKhJdfflnYsGGDwnHu3bsnZGVltWToLYr1pBrWk/7hPVWOdaQc60i/8H42jvWjHOvoL7kPKoTLd0sb3HIfVGg7xDal9q0raWlp2g6lRVXczxFKb19qcKu4n6PtENsUXW6HHFR5wuP/oL3//vtCp06dBGdnZ8HNzU2YOnWqUFBQIFRWVgoRERGCiYmJ4OjoKNjb2ws9e/YUKisr6xxDX7GeVMN60j+8p8qxjpRjHekX3s/GsX6UYx2RLtPlL7PUduhyO+SgSgN+/fVX4eWXXxbOnz8vPHjwQIiPjxeef/55YcKECcLt27cFQRCEtLQ0Yffu3cJXX30lfw94VVWVNsNucawn1bCe9A/vqXKsI+VYR/qF97NxrB/lWEdt27Zt2wQzM7N6Nw8PD6XlV65c2WD5gICAJsel7MvszJkzGzzvzJkzm3xe0g62Q/WJBOGxl9oTAGDnzp3YvHkzLC0tsWPHDvkrqZKSkvD555/D1tYWH330Ebp06aJQrqamRuF94PqO9aQa1pP+4T1VjnWkHOtIv/B+No71oxzriEpKSnD79u1604yMjODo6Nho+cLCwgYXrJVKpXXaTnPJz89HcXFxvWnm5uZPtc4GtTy2Q/VpZoWnVkwmk+G3337DjRs3YGhoCLH4r7V8//GPfwAAtm7dirfffhu7d+9Ghw4d5Olt6R801pNqWE/6h/dUOdaRcqwj/cL72TjWj3KsIwKA9u3bo3379k0u36FDB4W20VI6derEgRM9wnaovjb/9p8nV1kXi8VYtmwZ3nnnHVRXV2P27NkKI17/+Mc/MGHCBHh4eMDS0rKFo9Ue1pNqWE/6h/dUOdaRcqwj/cL72TjWj3KsIyIi/dGmH/+RyWTyvwRcvHgRRkZGqKmpgbu7O6qrq7Fu3Tp8++236N+/P1avXq0wYicIAkQikcIx9BXrSTWsJ/3De6oc60g51pF+4f1sHOtHOdYREZGe0eiKLTrs8RXSFy9eLLi6ugrPPPOM0KlTJ2HJkiVCVVWVUFVVJaxcuVLw8fER5s6dK9y7d6/BY+gr1pNqWE/6h/dUOdaRcqwj/cL72TjWj3KsIyIi/dNmB1VqrVu3TujYsaNw+PBhISUlRfj8888FY2NjISgoSBAEQaisrBRWrlwpuLi4COvXr9dytNrDelIN60n/8J4qxzpSjnWkX3g/G8f6UY51RESkP9rcoMrjo/s1NTXCK6+8IixZskQhz+HDhwWRSCT8+9//FgRBECoqKoQtW7bIX1vXFrCeVMN60j+8p8qxjpRjHekX3s/GsX6UYx0REemvNvUwpkwmg0gkAgDcuXMHYrEYV65cQWVlJYBHz6lWVVVh2LBhmD9/Pvbs2YOSkhIYGxvj73//OwwMDFBTU6PNS2gRrCfVsJ70D++pcqwj5VhH+oX3s3GsH+VYR6SMk5MT4uLitB0GtXFsh03XZgZVHl/QKyYmBkuXLkVOTg7eeustfP311zh37hxEIhEMDR+9Zbpdu3YQi8V1Xiel76+tYz2phvWkf3hPlWMdKcc60i+8n41j/SjHOmqavLJyZBaVNLjllZVrO0StSUhIwNChQ2Fubg6RSIR79+5pOySVnD17Fn5+frC0tISVlRX8/f2Rnp6u7bAaVXM/F1W5GQ1uNfdztR2i1sycORMuLi6QSqWwsbHBuHHjcPnyZW2HpbK7d++ia9euzfb/UJsZVKn9B23hwoVYs2YNXnjhBVRXVyMgIAA9e/bE0qVLkZqaCpFIhNLSUvzyyy/o2rWrlqNueawn1bCe9A/vqXKsI+VYR/qF97NxrB/lWEfqyysrx6SffsHUg6kNbpN++qXNDqyUlZUhICAA//znP5vleFVVVc1ynMaUlJRgxIgRcHBwwJkzZ3D8+HGYm5tjxIgRLXL+pqi5n4v8+PG4s/ntBrf8+PFtdmDFy8sLSUlJyMjIwP79+yEIAvz9/Zs8q66l28H06dPxt7/9rfkOqK3njrThwIEDgrOzs3D8+HGF/Xv37hXGjh0rmJmZCf379xd69eol9OzZU6isrBQEoe2tss56Ug3rSf/wnirHOlKOdaRfeD8bx/pRjnWknsuFxYL3lylKt8uFxRo5f01NjbBmzRrBxcVFMDY2Fuzt7YWoqChBEATht99+E4YNGyZIJBKhQ4cOQnBwsFBSUiIvO2XKFGHcuHHC2rVrhc6dOwsdOnQQZs2aJb+ngiAIt2/fFl5++WVBIpEITk5OwrZt2wRHR0chNjZWrThTUlIEAEJRUZHKZW7cuCEAEHbt2iUMGTJEMDExET7//HNBEATh888/F9zc3AQTExOhR48ewsaNG+uU++KLLwQfHx/BxMRE8PDwEFJSUlQ679mzZwUAws2bN+X7fvvtNwGAcPXqVZXjb0mVOZeEnBX9lG6VOZc0cv7W0g5r/frrryrfT221w1rx8fHCkCFDhEOHDqn9/1BDDJtveEb33bx5E6ampvD09ATw15TMsWPHomfPnvj9999x9uxZ2NjYICgoCIaGhqiurpZPyWwrWE+qYT3pH95T5VhHyrGO9AvvZ+NYP8qxjlqXxYsXIzExEbGxsXj++eeRm5uLy5cvy2eIeHt74+zZs8jPz0dQUBDmzJmD5ORkefmUlBTY2dkhJSUFV69exaRJk9CnTx8EBwcDAKZOnYrs7GwcPnwYxsbGmDdvHvLz81v0GhcuXIj169cjKSkJJiYmSExMREREBDZs2IC+ffsiLS0NwcHBMDMzw5QpU+TlPvjgA8TFxcHDwwMxMTEYO3Ysbty4gY4dOzZ6vh49esDa2hqbN2/GP//5T9TU1GDz5s3w9PSEo6Ojpi+3VWpN7bC0tBRJSUlwdnaGvb29yuVauh0CwKVLl7B8+XKcOXMG169fb9L11qdN9NaCIEAkEqG8vFxhSpJIJEJNTQ0MDAyQmpqKfv36ISAgQJ5eU1PTpv5BYz2phvWkf3hPlWMdKcc60i+8n41j/SjHOmp9SkpK8NFHH2HDhg3yL3EuLi54/vnnkZiYiIcPH2Lr1q0wMzMDAGzYsAFjxoxBdHQ0bG1tAQBWVlbYsGEDDAwM4ObmhtGjR+PQoUMIDg7G77//jp9++gmnT5/GwIEDAQCbN2+Gu7t7i15naGgoxo8fL/+8YsUKrF+/Xr7P2dkZly5dwqeffqrwZXbOnDmYMGECAGDTpk3Yt28fNm/ejAULFjR6vvbt2+PIkSMYN24cVqxYAQDo3r079u/fz7Zej9bSDuPj47FgwQKUlpbCzc0NBw4cgLGxscrlW7odVlRU4M0338TatWvh4ODQrIMqbWJNldoV14cNG4YrV67IVzUWiUQwMDDAgwcPsG3bNuzbt0+hXFtbFIz1pBrWk/7hPVWOdaQc60i/8H42jvWjHOuo9cnIyEBFRQX8/PzqTevdu7f8iywA+Pr6QiaTITMzU77P09NT4R7a2dnJZwBkZGTA0NAQ/fv3l6e7ubnB0tJSA1fTsMfPX1BQgOzsbEyfPh3t2rWTb1FRUbh27ZpCOR8fH/nPtdeRkZGh9HwPHz7EtGnT4Ovri9OnT+PEiRPw9PTEqFGj8PDhw+a7MD3RWtphYGAg0tLScPToUbi6umLixIkoL1d9raOWboeLFy+Gu7s73n77bZVjVFWbGhp0d3dHfHw85syZg6KiIrz88sswNjbGqlWrkJeXh5kzZ2o7RJ3AelIN60n/8J4qxzpSjnWkX3g/G8f6UY511HpIpdIG02pnHtXn8f1GRkZ10mQymfwYT+bXhse/kNfGlpiYKJ+1UEuVAT5VrmXHjh3IysrCqVOn5Is379ixA1ZWVti7dy/eeOMNdcLXe62lHVpYWMDCwgKurq7w9vaGlZUV9uzZgzfffFOl8i3dDg8fPowLFy7g66+/BvBXPVhbW2PJkiVYtmyZSnHXp00NqgBAcHAwbG1tMW/ePOzevRuWlpbo0qULzp07B0NDQ/l0zLaO9aQa1pP+4T1VjnWkHOtIv/B+No71oxzrqHVwdXWFVCrFoUOHEBQUpJDm4eGBLVu2oLS0VP5l8MSJExCLxejevbtKx3d3d0d1dTXOnTuH5557DgCQmZmp1dci29raokuXLrh+/ToCAwMbzXv69GkMHjwYAFBdXY3U1FTMmTNH6TnKysogFosVvvjWfq79Mk1/aa3tUBAEVFRUNKlsS7TD3bt3K8yMOnv2LKZNm4Zjx47BxcWlSXHXanODKiKRCOPGjYOvry/u378PmUwGFxcXiMViLgr2GNaTalhP+of3VDnWkXKsI/3C+9k41o9yrKPWQSKRYOHChViwYAGMjY3h6+uLgoICXLx4EYGBgYiIiMCUKVMQGRmJgoICzJ07F5MnT5avY6FMjx49EBAQgODgYCQkJMDQ0BChoaGNzkx4Ul5eHvLy8nD16lUAwIULF9C+fXs4ODigQ4cOTbruyMhIzJs3D+bm5hg5ciQqKipw7tw5FBUVISwsTJ5v48aNcHV1hbu7O2JjY1FUVIRp06YpPf5LL72EDz74ALNnz8bcuXMhk8mwZs0aGBoaYtiwYU2KWZ/peju8fv06du3aBX9/f9jY2ODWrVuIjo6GVCrFqFGjmnzdmm6HTw6c3LlzB8CjQaanfQSvzfbg1tbWsLa2ln+WyWT8B60erCfVsJ70D++pcqwj5VhH+oX3s3GsH+VYR8pZmBjBWCxGZSMzGIzFYliYGDWY/jTCw8NhaGiIpUuXIicnB3Z2dggJCYGpqSn279+P+fPnY8CAATA1NcWECRMQExOj1vGTkpIQFBSEIUOGwNbWFlFRUQgPD1e5/CeffKLwmELtX+yTkpIwdepUtWKpFRQUBFNTU6xduxYLFiyAmZkZevXqhdDQUIV8a9asQXR0NNLS0uDi4oK9e/cqtOeGuLm54fvvv8eyZcvg4+MDsViMvn37Yt++fbCzs2tSzJomNrUEDIyBmsqGMxkYP8qnAbrcDiUSCY4dO4a4uDgUFRXB1tYWgwcPxsmTJ9GpU6emXC4AzbdDTRIJtQ8TERERERERaVleWTnuV1Q1mG5hYoTOppIWjKhty8rKgrOzM9LS0tCnTx9th9Niau7nQlZ2r8F0saklDCx0c1BIH+lyO+TQOBERERER6YzOphIOmpDWGVjYcdCEVNImXqlMRERERESky7Zv367wOtnHN09PT6XlV61a1WD5kSNHaizukJCQBs8bEhKisfOSZrAdqo+P/xAREREREWlZSUkJbt++XW+akZERHB0dGy1fWFiIwsLCetOkUim6dOny1DHWJz8/H8XFxfWmmZubP9U6G9Ty2A7Vx0EVIiIiIiIiIqIm4OM/RERERERERERNwEEVIiIiIiIiIqIm4KAKEREREREREVETcFCFiIiIiIiIiKgJOKhCRERERERERNQEHFQhraqsrNR2CESkQ9gnENGT2C+QvnNyckJcXJy2w6A2ju2w6TioQs2qpKQEgYGBMDMzg52dHWJjYzF06FCEhoYCePQ/a1RUFKZOnQoLCwsEBwcDAHbv3g1PT0+YmJjAyckJ69evVziuSCTCt99+q7DP0tISycnJAICsrCyIRCLs3LkTgwYNgkQigaenJ44cOaLhKyaixrBPIKInsV8gZfLKynC56F6DW15ZmbZD1IrCwkLMnTsXPXr0gKmpKRwcHDBv3jzcv39f26EpNX/+fHh5ecHExAR9+vTRdjgqEYruQPZnVoObUHRH2yFqzcyZM+Hi4gKpVAobGxuMGzcOly9f1nZYSolEojrbJ5988tTHNWyG2IjkwsLCcOLECXz33XewtbXF0qVLcf78eYXOc+3atQgPD8eHH34IAEhNTcXEiRMRGRmJSZMm4eTJk5g1axY6duyIqVOnqnX+Dz74AHFxcfDw8EBMTAzGjh2LGzduoGPHjs14lUSkKvYJRPQk9gvUmLyyMkzcdxiVMlmDeYzFYnwZMBydTU1bMDLty8nJQU5ODtatWwcPDw/88ccfCAkJQU5ODr7++usmHbOqqgpGRkbNHGldgiBg2rRpOHPmDH777TeNn+9pCUV3ULF2IVBd1XAmQyOYfBANkZV1ywWmI7y8vBAYGAgHBwcUFhYiMjIS/v7+uHHjBgwMDNQ+Xku1QwBISkpCQECA/LOFhcVTH5MzVajZlJSUYMuWLVi3bh38/PzQs2dPJCUloaamRiHf8OHD8f7776Nbt27o1q0bYmJi4Ofnh/DwcHTv3h1Tp07FnDlzsHbtWrVjmDNnDiZMmAB3d3ds2rQJFhYW2Lx5c3NdIhGpgX0CET2J/QIpc6+istEBFQColMlwr0Izj4XJZDJER0ejW7duMDExgYODA1auXAkAuHDhAoYPHw6pVIqOHTtixowZePDggbzs1KlT8corr2DdunWws7NDx44dMXv2bFRV/fXFPD8/H2PGjIFUKoWzszO2b9+ucmw9e/bE7t27MWbMGLi4uGD48OFYuXIlvv/+e1RXVystXztb68svv8TQoUMhkUiwbds2AI++aLq7u0MikcDNzQ3x8fF1yj3NLK+PP/4Ys2fPxrPPPqtyGW0SSh80PqACANVVj/JpgC63QwCYMWMGBg8eDCcnJ/Tr1w9RUVHIzs5GVlaW0rLabIfAoxmMnTt3lm9SqVSt8vXhoAo1m+vXr6OqqgrPPfecfJ+FhQV69OihkK9///4KnzMyMuDr66uwz9fXF1euXKnzS5YyPj4+8p8NDQ3Rv39/ZGRkqHUMImoe7BOI6EnsF0jXLV68GNHR0QgPD8elS5ewY8cO2NraoqysDAEBAbCyssLZs2fx1Vdf4eDBg5gzZ45C+ZSUFFy7dg0pKSnYsmULkpOT5Y+gAY++8GZlZeHw4cP4+uuvER8fj/z8/CbHe//+fZibm8PQUPUHEBYuXIh58+YhIyMDI0aMQGJiIpYsWYKVK1ciIyMDq1atQnh4OLZs2aJQ7oMPPsB7772HtLQ0DBo0CGPHjsXdu3ebHDs1rDW1w9LSUiQlJcHZ2Rn29vYql9NWO5wzZw6sra0xYMAAfPLJJ5ApGcRVBR//oWYjCAKAR8+q1be/lpmZWZ10ZWVEIlGdfY+PtjbmyWMTUctgn0BET2K/QLqspKQEH330ETZs2IApU6YAAFxcXPD8888jMTERDx8+xNatW+Xtc8OGDRgzZgyio6Nha2sLALCyssKGDRtgYGAANzc3jB49GocOHUJwcDB+//13/PTTTzh9+jQGDhwIANi8eTPc3d2bFO/du3exYsUKzJw5U61yoaGhGD9+vPzzihUrsH79evk+Z2dnXLp0CZ9++qm8HoC/ZnkBwKZNm7Bv3z5s3rwZCxYsaFL8VL/W0g7j4+OxYMEClJaWws3NDQcOHICxsbHK5bXRDlesWAE/Pz9IpVIcOnQI7733Hu7cuSN/1LSpOFOFmo2LiwuMjIzwyy+/yPcVFxfjypUrjZbz8PDA8ePHFfadPHkS3bt3lz+TZ2Njg9zcXHn6lStXUFbPImWnT5+W/1xdXY3U1FS4ubk16XqI6OmwTyCiJ7FfIF2WkZGBiooK+Pn51ZvWu3dvhQE/X19fyGQyZGZmyvd5enoqrClhZ2cnnwGQkZEhnx1Vy83NDZaWlmrHWlxcjNGjR8PDwwMRERFqlX38/AUFBcjOzsb06dPRrl07+RYVFYVr164plOMsr5bRWtphYGAg0tLScPToUbi6umLixIkoLy9Xubw22uGHH34IHx8f9OnTB++99x6WL1/epMdIn8SZKtRs2rdvjylTpuCDDz5Ahw4d0KlTJ0REREAsFjf6F6D33nsPAwYMwIoVKzBp0iScOnUKGzZsUHiGbvjw4diwYQO8vb0hk8mwcOHCehcz2rhxI1xdXeHu7o7Y2FgUFRVh2rRpGrleImoc+wQiehL7BdJlja2tUN9sqVqP73+yzYlEIvnjBQ3N1FJXSUkJAgIC0K5dO+zZs0ftBT4f/0JeG1tiYqJ81kItVRYc5Syv5tda2qGFhQUsLCzg6uoKb29vWFlZYc+ePXjzzTdVKq8L7dDb2xvFxcW4ffu2fJZPU3CmCjWrmJgY+Pj44OWXX8aLL74IX19f+WJDDenXrx++/PJL7Ny5Ez179sTSpUuxfPlyhdX8169fD3t7ewwePBhvvfUW3n//fZjWs+L7mjVrEB0djd69e+PYsWPYu3cvrK3b3orcRLqCfQIRPYn9AukqV1dX+WMBT/Lw8EB6ejpKS0vl+06cOAGxWIzu3burdHx3d3dUV1fj3Llz8n2ZmZm4d++eyjEWFxfD398fxsbG+O677xr9/0YVtra26NKlC65fvy5fGLp2c3Z2VsjLWV4tozW0w/oIgoCKioomldVWO0xLS4NEImnSbLHHcaYKNav27dsrrB5dWlqKZcuWYcaMGQDQ4IrQEyZMkD8bV59nnnkG+/fvV9hX3//47u7uCv+jEZF2sU8goiexXyBdJZFIsHDhQixYsADGxsbw9fVFQUEBLl68iMDAQERERGDKlCmIjIxEQUEB5s6di8mTJ6v8F+4ePXogICAAwcHBSEhIgKGhIUJDQ1V++0hJSQn8/f1RVlaGbdu2obi4GMXFxQAePf7WlFfZAkBkZCTmzZsHc3NzjBw5EhUVFTh37hyKiooQFhYmz/c0s7yuXr2KBw8eIC8vDw8fPkR6ejqAR4ME6qzD0Rboeju8fv06du3aBX9/f9jY2ODWrVuIjo6GVCrFqFGjmnzdmm6H33//PfLy8uDj4wOpVIqUlBQsWbIEM2bMgImJSZPjBjioQs0sLS0Nly9fxnPPPYf79+9j+fLlAIBx48ZpOTIi0gb2CUT0JPYL1BhLE2MYi8WNvlbZWCyGpYlmvoiHh4fD0NAQS5cuRU5ODuzs7BASEgJTU1Ps378f8+fPx4ABA2BqaooJEyYgJiZGreMnJSUhKCgIQ4YMga2tLaKiohAeHq5S2dTUVJw5cwYA0K1bN4W0GzduwMnJSa1YagUFBcHU1BRr167FggULYGZmhl69eiE0NFQhX+0sr7S0NLi4uKg1yysoKAhHjx6Vf+7bt+9Tx61JIrN2gKFR469VNjR6lE8DdLkdSiQSHDt2DHFxcSgqKoKtrS0GDx6MkydPolOnTk25XACab4dGRkaIj49HWFgYZDIZnn32WSxfvhyzZ89ucsy1RMKTy6QTPYW0tDQEBQUhMzMTxsbG8PLyQkxMDHr16qXR82ZlZcHZ2RlpaWno06ePRs9FRKpjn0BET2K/QMrklZXhXkVlg+mWJsboXM+jXaQZbfX/HaHoDoTSBw2mi8zaQWTFRwdbii63Qw6qEBERERERUb10+csstR263A65UC0REREREZGWbd++XeF1so9vnp6eSsuvWrWqwfIjR47UWNwhISENnjckJERj5yXNYDtUH2eqEBERERERaVlJSQlu375db5qRkREcHR0bLV9YWIjCwsJ606RSKbp06fLUMdYnPz9fvmDuk8zNzZ9qnQ1qeWyH6uOgChERERERERFRE/DxHyIiIiIiIiKiJuCgChERERERERFRE3BQhYiIiIiIiIioCTioQkRERERERETUBBxUISIiIiIiIiJqAg6qEBERERERaYmTkxPi4uK0HQa1cWyHTcdBFSIiIiIi0hl5ZaW4XFTY4JZXVqrtELWisLAQc+fORY8ePWBqagoHBwfMmzcP9+/f13Zojfr111/x5ptvwt7eHlKpFO7u7vjoo4+0HZZSQlExZH/mNbgJRcXaDlFrZs6cCRcXF0ilUtjY2GDcuHG4fPmytsNSSXJyMv72t79BIpGgc+fOmDNnzlMf07AZ4iIiIiIiInpqeWWleP3n71ApkzWYx1gsxlf+Y9HZ1KwFI9O+nJwc5OTkYN26dfDw8MAff/yBkJAQ5OTk4Ouvv27SMauqqmBkZNTMkSpKTU2FjY0Ntm3bBnt7e5w8eRIzZsyAgYFBs3yh1QShqBgVqxOB6pqGMxkawGRxMERW5i0XmI7w8vJCYGAgHBwcUFhYiMjISPj7++PGjRswMDBQ+3gt0Q4BICYmBuvXr8fatWsxcOBAlJeX4/r16099XM5UISIiIiIinXCvoqLRARUAqJTJcK+iQiPnl8lkiI6ORrdu3WBiYgIHBwesXLkSAHDhwgUMHz4cUqkUHTt2xIwZM/DgwQN52alTp+KVV17BunXrYGdnh44dO2L27NmoqqqS58nPz8eYMWMglUrh7OyM7du3qxxbz549sXv3bowZMwYuLi4YPnw4Vq5cie+//x7V1dVKy2dlZUEkEuHLL7/E0KFDIZFIsG3bNgBAUlIS3N3dIZFI4Obmhvj4+Drldu7ciUGDBkEikcDT0xNHjhxRKe5p06bh448/xpAhQ/Dss8/i7bffxj/+8Q988803Kl97SxNKyxofUAGA6ppH+TRAl9shAMyYMQODBw+Gk5MT+vXrh6ioKGRnZyMrK0tpWW21w6KiInz44YfYunUr3nrrLbi4uMDT0xNjxoxR69rrw5kqREREREREABYvXozExETExsbi+eefR25uLi5fvoyysjIEBATA29sbZ8+eRX5+PoKCgjBnzhwkJyfLy6ekpMDOzg4pKSm4evUqJk2ahD59+iA4OBjAoy+82dnZOHz4MIyNjTFv3jzk5+c3Od779+/D3Nwchoaqf61buHAh1q9fj6SkJJiYmCAxMRERERHYsGED+vbti7S0NAQHB8PMzAxTpkyRl/vggw8QFxcHDw8PxMTEYOzYsbhx4wY6duzYpLg7dOigdrm2ojW1w9LSUiQlJcHZ2Rn29vYql2vpdnjgwAHIZDLcunUL7u7uKCkpwaBBg7B+/Xq14q6XQEREREREpAMyCu8Kz+3epnTLKLzb7OcuLi4WTExMhMTExDppCQkJgpWVlfDgwQP5vh9++EEQi8VCXl6eIAiCMGXKFMHR0VGorq6W53n99deFSZMmCYIgCJmZmQIA4fTp039db0aGAECIjY1VO947d+4IDg4OwpIlS1TKf+PGDQGAEBcXp7Df3t5e2LFjh8K+FStWCD4+Pgrl1qxZI0+vqqoSunbtKkRHR6sd98mTJwUjIyPh559/VrtsS6nJzhUevhutdKvJzm32c7eWdrhx40bBzMxMACC4ubkJV69eVamcttrh6tWrBSMjI6FHjx7Cvn37hFOnTgl+fn5Cjx49hIqKCpVibwgf/yEiIiIiojYvIyMDFRUV8PPzqzetd+/eMDP7ax0XX19fyGQyZGZmyvd5enoqrClhZ2cnnwGQkZEBQ0ND9O/fX57u5uYGS0tLtWMtLi7G6NGj4eHhgYiICLXKPn7+goICZGdnY/r06WjXrp18i4qKwrVr1xTK+fj4yH+uvY6MjAy1zn3x4kWMGzcOS5cuxUsvvaRW2baitbTDwMBApKWl4ejRo3B1dcXEiRNRXl6ucvmWbocymQxVVVX4+OOPMWLECHh7e+OLL77AlStXkJKSonLc9eHjP0RERERE1OZJpdIG0wRBgEgkqjft8f1PLrYpEokg+/9rxAiCUCd/U5SUlCAgIADt2rXDnj171F7g8/Ev5LWxJSYmYuDAgQr5VFlwVJ1ruXTpEoYPH47g4GB8+OGHKpdra1pLO7SwsICFhQVcXV3h7e0NKysr7NmzB2+++aZK5Vu6HdrZ2QEAPDw85PtsbGxgbW2NmzdvqhRzQzhThYiIiIiI2jxXV1dIpVIcOnSoTpqHhwfS09NRWvrX65xPnDgBsViM7t27q3R8d3d3VFdX49y5c/J9mZmZuHfvnsoxFhcXw9/fH8bGxvjuu+8gkUhULlsfW1tbdOnSBdevX0e3bt0UNmdnZ4W8p0+flv9cXV2N1NRUuLm5qXSeixcvYtiwYZgyZYp8wVWqX2toh/URBAEVTVxAuiXaoa+vLwAozOgpLCzEnTt34Ojo2KS4a3GmChERERERtXkSiQQLFy7EggULYGxsDF9fXxQUFODixYsIDAxEREQEpkyZgsjISBQUFGDu3LmYPHkybG1tVTp+jx49EBAQgODgYCQkJMDQ0BChoaGNzkx4XElJCfz9/VFWVoZt27ahuLgYxcXFAB79xb0pr7IFgMjISMybNw/m5uYYOXIkKioqcO7cORQVFSEsLEyeb+PGjXB1dYW7uztiY2NRVFSEadOmKT1+7YCKv78/wsLCkJeXB+DRDAQbG5smxazPdL0dXr9+Hbt27YK/vz9sbGxw69YtREdHQyqVYtSoUU2+bk23w+7du2PcuHGYP38+EhISYG5ujsWLF8PNzQ3Dhg1rctwAZ6oQEREREZGOsDQxgbG48a8oxmIxLE1MNHL+8PBwvPfee1i6dCnc3d0xadIk5Ofnw9TUFPv370dhYSEGDBiA1157DX5+ftiwYYNax09KSoK9vT2GDBmC8ePHY8aMGejUqZNKZVNTU3HmzBlcuHAB3bp1g52dnXzLzs5uyuUCAIKCgvDZZ58hOTkZvXr1wpAhQ5CcnFxnhsCaNWsQHR2N3r1749ixY9i7dy+sra2VHv+rr75CQUEBtm/frhDzgAEDmhyzponMTAFDJYNUhgaP8mmALrdDiUSCY8eOYdSoUejWrRsmTpwIMzMznDx5UuVj1EfT7RAAtm7dioEDB2L06NEYMmQIjIyMsG/fPrUfoXuSSKh9qIqIiIiIiEjL8spKca+RxwgsTUzQ2dSswXRqXllZWXB2dkZaWhr69Omj7XBajFBUDKG0rMF0kZkpRFbmLRhR26bL7ZCP/xARERERkc7obGrGQRPSOpGVOQdNSCV8/IeIiIiIiEjLtm/frvA62cc3T09PpeVXrVrVYPmRI0dqLO6QkJAGzxsSEqKx85JmsB2qj4//EBERERERaVlJSQlu375db5qRkZHSN5QUFhaisLCw3jSpVIouXbo8dYz1yc/Ply+Y+yRzc/OnWmeDWh7bofo4qEJERERERERE1AR8/IeIiIiIiIiIqAk4qEJERERERERE1AQcVCEiIiIiIiIiagIOqhARERERERERNQEHVYiIiIiIiIiImoCDKkRERERERERETWCo7QCIiIiIiIhq5ZWV4F5leYPplsYSdDZt34IRaZaTkxNCQ0MRGhqq7VDoMbLCcuBBdcMZ2hlC3EHScgFpGNth03FQhYiIiIiIdEJeWQleO/AFKmU1DeYxFhvg65fe1KuBFVUUFhYiIiICP//8M7Kzs2FtbY1XXnkFK1asgIWFhbbDa9Ddu3cRGBiI3377DXfv3kWnTp0wbtw4rFq1Cubm5toOr16ywnJURJwDqoWGMxmKYLKsv14NrKhq5syZOHjwIHJyctCuXTsMGjQI0dHRcHNz03ZoDUpOTsY//vGPetNu376NTp06NfnYfPyHiIiIiIh0wr3K8kYHVACgUlbT6EwWfZWTk4OcnBysW7cOFy5cQHJyMvbt24fp06c3+ZhVVVXNGGH9xGIxxo0bh++++w6///47kpOTcfDgQYSEhGj83E32oLrxARXgUXpjM1n0mJeXF5KSkpCRkYH9+/dDEAT4+/ujpqbx/3cb0hLtcNKkScjNzVXYRowYgSFDhjzVgArAQRUiIiIiIiIAgEwmQ3R0NLp16wYTExM4ODhg5cqVAIALFy5g+PDhkEql6NixI2bMmIEHDx7Iy06dOhWvvPIK1q1bBzs7O3Ts2BGzZ89W+MKYn5+PMWPGQCqVwtnZGdu3b1c5tp49e2L37t0YM2YMXFxcMHz4cKxcuRLff/89qquVf7nPysqCSCTCl19+iaFDh0IikWDbtm0AgKSkJLi7u0MikcDNzQ3x8fF1yu3cuRODBg2CRCKBp6cnjhw5olLcVlZWeOedd9C/f384OjrCz88Ps2bNwrFjx1S+9rZGl9shAMyYMQODBw+Gk5MT+vXrh6ioKGRnZyMrK0tpWW21Q6lUis6dO8s3AwMDHD58+KkGJWvx8R8iIiIiIiIAixcvRmJiImJjY/H8888jNzcXly9fRllZGQICAuDt7Y2zZ88iPz8fQUFBmDNnDpKTk+XlU1JSYGdnh5SUFFy9ehWTJk1Cnz59EBwcDODRF97s7GwcPnwYxsbGmDdvHvLz85sc7/3792Fubg5DQ9W/1i1cuBDr169HUlISTExMkJiYiIiICGzYsAF9+/ZFWloagoODYWZmhilTpsjLffDBB4iLi4OHhwdiYmIwduxY3LhxAx07dlQr5pycHHzzzTcYMmSIWuXaktbUDktLS5GUlARnZ2fY29urXE7b7XDr1q0wNTXFa6+9pla5eglEREREREQ6IKMoXxjwTbzSLaMov9nPXVxcLJiYmAiJiYl10hISEgQrKyvhwYMH8n0//PCDIBaLhby8PEEQBGHKlCmCo6OjUF1dLc/z+uuvC5MmTRIEQRAyMzMFAMLp06f/ut6MDAGAEBsbq3a8d+7cERwcHIQlS5aolP/GjRsCACEuLk5hv729vbBjxw6FfStWrBB8fHwUyq1Zs0aeXlVVJXTt2lWIjo5WOd433nhDkEqlAgBhzJgxwsOHD1Uu29Jq/igRykL+q3Sr+aOk2c/dWtrhxo0bBTMzMwGA4ObmJly9elWlctpuh7U8PDyEd955R+1y9eHjP0RERERE1OZlZGSgoqICfn5+9ab17t0bZmZm8n2+vr6QyWTIzMyU7/P09ISBgYH8s52dnXwGQEZGBgwNDdG/f395upubGywtLdWOtbi4GKNHj4aHhwciIiLUKvv4+QsKCpCdnY3p06ejXbt28i0qKgrXrl1TKOfj4yP/ufY6MjIyVD5vbGwszp8/j2+//RbXrl1DWFiYWnG3Fa2lHQYGBiItLQ1Hjx6Fq6srJk6ciPJy1dc60lY7BIBTp07h0qVLzfLoD8DHf4iIiIiIiCCVShtMEwQBIpGo3rTH9xsZGdVJk8lk8mM8mb8pSkpKEBAQgHbt2mHPnj11zqnM41/Ia2NLTEzEwIEDFfI9/qW8IepcS+1aFm5ubujYsSNeeOEFhIeHw87OTuVjtAWtpR1aWFjAwsICrq6u8Pb2hpWVFfbs2YM333xTpfLaaocA8Nlnn6FPnz7w8vJSq1xDOFOFiIiIiIjaPFdXV0ilUhw6dKhOmoeHB9LT01FaWirfd+LECYjFYnTv3l2l47u7u6O6uhrnzp2T78vMzMS9e/dUjrG4uBj+/v4wNjbGd999B4nk6V7na2triy5duuD69evo1q2bwubs7KyQ9/Tp0/Kfq6urkZqa2uRX6NZ+sa+oqGh68HqqNbTD+giC0OT72ZLt8MGDB/jyyy+bbZYKwJkqRERERESkIyyNJTAWGzT6WmVjsQEsjZ9uMKE+EokECxcuxIIFC2BsbAxfX18UFBTg4sWLCAwMREREBKZMmYLIyEgUFBRg7ty5mDx5MmxtbVU6fo8ePRAQEIDg4GAkJCTA0NAQoaGhjc5MeFxJSQn8/f1RVlaGbdu2obi4GMXFxQAAGxsblf6iX5/IyEjMmzcP5ubmGDlyJCoqKnDu3DkUFRUpPKKzceNGuLq6wt3dHbGxsSgqKsK0adOUHv/HH3/E7du3MWDAALRr1w6XLl3CggUL4OvrCycnpybFrHHtDAFDUeOvVTYUPcrXzHS9HV6/fh27du2Cv78/bGxscOvWLURHR0MqlWLUqFFNvm5Nt8Nau3btQnV1NQIDA5sc65M4qEJERERERDqhs2l7fP3Sm7hX2fDaDJbGEnQ2ba+R84eHh8PQ0BBLly5FTk4O7OzsEBISAlNTU+zfvx/z58/HgAEDYGpqigkTJiAmJkat4yclJSEoKAhDhgyBra0toqKiEB4erlLZ1NRUnDlzBgDQrVs3hbQbN240eYAiKCgIpqamWLt2LRYsWAAzMzP06tULoaGhCvnWrFmD6OhopKWlwcXFBXv37oW1tbXS40ulUiQmJuLdd99FRUUF7O3tMX78eCxatKhJ8bYEcQcJTJb1Bx408qrqdoYQd2j+wT1At9uhRCLBsWPHEBcXh6KiItja2mLw4ME4efIkOnXq1JTLBaD5dlhr8+bNGD9+PKysrJoc65NEQu3cKyIiIiIiIqLHZGVlwdnZGWlpaejTp4+2w6E2SpfbIddUISIiIiIiIiJqAg6qEBERERERadn27dsVXif7+Obp6am0/KpVqxosP3LkSI3FHRIS0uB5Q0JCNHZe0gy2Q/Xx8R8iIiIiIiItKykpwe3bt+tNMzIygqOjY6PlCwsLUVhYWG+aVCpFly5dnjrG+uTn58sXzH2Subn5U62zQS2P7VB9HFQhIiIiIiIiImoCPv5DrcLBgwchEokgEolw584dbYdDRFqQlZUl7wee3Hbu3Knt8IiIiIioDeIrlUnnPXjwAMHBwXjmmWeQk5Oj7XCISMvmzp2Lt956S2Gfq6urlqIhIiIioraMgyqk8xYtWgQrKyuMHj0aUVFR2g6HiLTMwcEB3t7e2g6DiIiIiIiP/5D2XL58GW+++SZsbW1hYmICBwcH/P3vf0dFRYU8z7Fjx5CQkIDPPvsMBgYGWoyWiFqCKv0CEREREZGu4KAKacWvv/6KAQMG4PTp01i+fDl++uknrF69GhUVFaisrAQAPHz4ENOnT0doaCj69eun5YiJSNNU6RcAYM2aNTA2NoapqSmef/55fPfdd1qMmoiIiIjaMj7+Q1oRFhYGQ0ND/PLLL7CxsZHvDwwMlP8cHh6OmpoaLFu2TBshElELU9Yv1K6v9NJLL8HOzg43b97Ev//9b4wbNw6JiYkICgrSVuhERNSM8sru415lWYPplsam6Gxq0YIRaZaTkxNCQ0MRGhqq7VDoMbLCUqC0kZmyZiYQdzBruYA0jO2w6TioQi2urKwMR48exfTp0xW+OD3ul19+QVxcHPbt2wepVNrCERJRS1OlX7Czs0NCQoLCvtdffx0DBw7EokWLMHXqVBga8p81IqLWLK/sPiYc3IRKWU2DeYzFBtj94jt6NbCiisLCQkRERODnn39GdnY2rK2t8corr2DFihWwsGgddXH37l307t0bt27dQlFRESwtLbUdUr1khaWoWPEjUC1rOJOhGCbho/RqYEVVM2fOxMGDB5GTk4N27dph0KBBiI6Ohpubm7ZDa9TZs2exaNEipKamQiQSYcCAAfjXv/6FPn36PNVx+fgPtbiioiLU1NSga9euDeaZNm0axo8fj/79++PevXu4d+8eysvLAQDFxcUoKSlpqXCJqAWo0i/Ux8jICJMmTcLdu3dx5coVDUVHREQt5V5lWaMDKgBQKatpdCaLvsrJyUFOTg7WrVuHCxcuIDk5Gfv27cP06dObfMyqqqpmjFC56dOn429/+1uLnrNJSisaH1ABHqU3NpNFj3l5eSEpKQkZGRnYv38/BEGAv78/amoa/3+3IS3RDktKSjBixAg4ODjgzJkzOH78OMzNzTFixIinPj8HVajFdejQAQYGBvjzzz8bzHPx4kV89dVXsLKykm/R0dEAABcXF7zwwgstFS4RtQBV+oWGCIIAABCL+U8aERE9HZlMhujoaHTr1k2+YPrKlSsBABcuXMDw4cMhlUrRsWNHzJgxAw8ePJCXnTp1Kl555RWsW7cOdnZ26NixI2bPnq3whS0/Px9jxoyBVCqFs7Mztm/frnJsPXv2xO7duzFmzBi4uLhg+PDhWLlyJb7//ntUV1crLZ+VlQWRSIQvv/wSQ4cOhUQiwbZt2wAASUlJcHd3h0QigZubG+Lj4+uU27lzJwYNGgSJRAJPT08cOXJE5dgBYNOmTbh37x7ef/99tcq1RbrcDgFgxowZGDx4MJycnNCvXz9ERUUhOzsbWVlZSstqqx1mZmaiqKgIy5cvR48ePeDp6YmIiAjk5+fj5s2bal3/kzhPmlqcVCrFkCFD8NVXX2HlypWwtraukyclJaXOvuTkZGzZsgXffvstunTp0hKhElELUaVfqE9VVRV27doFa2trdOvWTcNREhGRvlu8eDESExMRGxuL559/Hrm5ubh8+TLKysoQEBAAb29vnD17Fvn5+QgKCsKcOXOQnJwsL5+SkgI7OzukpKTg6tWrmDRpEvr06YPg4GAAj77wZmdn4/DhwzA2Nsa8efOQn5/f5Hjv378Pc3NztR5/XbhwIdavX4+kpCSYmJggMTERERER2LBhA/r27Yu0tDQEBwfDzMwMU6ZMkZf74IMPEBcXBw8PD8TExGDs2LG4ceMGOnbsqPScly5dwvLly3HmzBlcv369SdfalrSmdlhaWoqkpCQ4OzvD3t5e5XIt3Q579OgBa2trbN68Gf/85z9RU1ODzZs3w9PTE46Ojk26djmBSAvS09OFdu3aCc8++6yQkJAgHD58WPjiiy+EN998UyguLq63TEREhABAKCgoaOFoiaglKOsX3n33XWHOnDnCF198IaSkpAhbt24VBgwYIAAQkpKStB0+ERE1g4yiHKH/niilW0ZRTrOfu7i4WDAxMRESExPrpCUkJAhWVlbCgwcP5Pt++OEHQSwWC3l5eYIgCMKUKVMER0dHobq6Wp7n9ddfFyZNmiQIgiBkZmYKAITTp0//db0ZGQIAITY2Vu1479y5Izg4OAhLlixRKf+NGzcEAEJcXJzCfnt7e2HHjh0K+1asWCH4+PgolFuzZo08vaqqSujatasQHR2t9Lzl5eXC3/72N+H//u//BEEQhJSUFAGAUFRUpFLc2lBz865QNmen0q3m5t1mP3draYcbN24UzMzMBACCm5ubcPXqVZXKaasdCoIg/O9//xNcXFwEsVgsiMViwc3NTfjjjz9UKtsYzpUmrejduzd++eUXeHl5YfHixQgICMDChQthYmICY2NjbYdHRFqgrF/o2bMnfvnlF8yePRsvvfQS5s+fjw4dOmD//v2YOnWqtsMnIqJWLiMjAxUVFfDz86s3rXfv3jAz+2tRUl9fX8hkMmRmZsr3eXp6wsDAQP7Zzs5OPgMgIyMDhoaG6N+/vzzdzc2tSYu1FhcXY/To0fDw8EBERIRaZR8/f0FBAbKzszF9+nS0a9dOvkVFReHatWsK5Xx8fOQ/115HRkaG0vMtXrwY7u7uePvtt9WKs61qLe0wMDAQaWlpOHr0KFxdXTFx4kT5GpiqaOl2+PDhQ0ybNg2+vr44ffo0Tpw4AU9PT4waNQoPHz5UOe768PEf0hp3d3d8+eWXKuePjIxEZGSk5gIiIq1rrF+YNm0apk2b1sIRERFRW9HYGycFQYBIJKo37fH9RkZGddJkMpn8GE/mb4qSkhIEBASgXbt22LNnT51zKvP4F/La2BITEzFw4ECFfI9/KW+IKtdy+PBhXLhwAV9//TWAv+rB2toaS5YswbJly1SOvS1oLe3QwsICFhYWcHV1hbe3N6ysrLBnzx68+eabKpVv6Xa4Y8cOZGVl4dSpU/J1+Hbs2AErKyvs3bsXb7zxhkpx14czVYiIiIiIqM1zdXWFVCrFoUOH6qR5eHggPT0dpaWl8n0nTpyAWCxG9+7dVTq+u7s7qqurce7cOfm+zMxM3Lt3T+UYi4uL4e/vD2NjY3z33XeQSCQql62Pra0tunTpguvXr6Nbt24Km7Ozs0Le06dPy3+urq5GamqqSq/Q3b17N3799Vekp6cjPT0dn332GQDg2LFjmD179lPFr49aQzusjyAIqKho2tuQWqIdlpWVQSwWKwzA1H6uHdRpKs5UISIiIiIinWBpbApjsUGjr1U2FhvA0ti02c8tkUiwcOFCLFiwAMbGxvD19UVBQQEuXryIwMBAREREYMqUKYiMjERBQQHmzp2LyZMnw9bWVqXj9+jRAwEBAQgODkZCQgIMDQ0RGhra6MyEx5WUlMDf3x9lZWXYtm0biouLUVxcDACwsbFR6S/69YmMjMS8efNgbm6OkSNHoqKiAufOnUNRURHCwsLk+TZu3AhXV1e4u7sjNjYWRUVFKs0gdXFxUfh8584dAI++3Dfl0acWYWYCGIobf62yofhRvmam6+3w+vXr2LVrF/z9/WFjY4Nbt24hOjoaUqkUo0aNavJ1a7odvvTSS/jggw8we/ZszJ07FzKZDGvWrIGhoSGGDRvW5LgBDqoQEREREZGO6Gxqgd0vvoN7lWUN5rE0NkVnUwuNnD88PByGhoZYunQpcnJyYGdnh5CQEJiammL//v2YP38+BgwYAFNTU0yYMAExMTFqHT8pKQlBQUEYMmQIbG1tERUVhfDwcJXKpqam4syZMwBQ5413N27cgJOTk1qx1AoKCoKpqSnWrl2LBQsWwMzMDL169UJoaKhCvjVr1iA6OhppaWlwcXHB3r17VX5bX2sj7mAGk/BRQGkjMy/MTCDuYNZw+lPQ5XYokUhw7NgxxMXFoaioCLa2thg8eDBOnjyJTp06NeVyAWi+Hbq5ueH777/HsmXL4OPjA7FYjL59+2Lfvn2ws7NrctwAIBJqH6oiIiIiIiIiekxWVhacnZ2RlpaGPn36aDscaqN0uR1yTRUiIiIiIiIioibgoAoREREREZGWbd++XeF1so9vnp6eSsuvWrWqwfIjR47UWNwhISENnjckJERj5yXNYDtUHx//aaLq6mqkpaXB1tZW/komotZAJpPh9u3b6Nu3LwwNuaxSc2K/QK0R+wQiIt1QUlKC27dv15tmZGQER0fHRssXFhaisLCw3jSpVIouXbo8dYz1yc/Ply+Y+yRzc/OnWmeDWh7bofo4qNJEZ8+exXPPPaftMIia7JdffsGAAQO0HYZeYb9ArRn7BCIiIiL18U9STVT7yqpffvnlqVcLJmpJubm5eO6551R+7Rqpjv0CtUbsE4iIiIiajoMqTVQ7td/Ozg5du3bVcjRE6uPjKc2P/QK1ZuwTiIiIiNTH36CIiIiIiIiIiJqAgypE1CrFx8fD2dkZEokEXl5eOHbsWIN5jxw5ApFIVGe7fPmyPE9ycnK9ecrLy1vicoiIiIiIqBXi4z9E1Ors2rULoaGhiI+Ph6+vLz799FOMHDkSly5dgoODQ4PlMjMzYW5uLv9sY2OjkG5ubo7MzEyFfRKJpHmDJyIiIiIivcFBFSJqdWJiYjB9+nQEBQUBAOLi4rB//35s2rQJq1evbrBcp06dYGlp2WC6SCRC586dmztcIiIiIiLSU3z8R88VFRVh8uTJsLCwgIWFBSZPnox79+41Wuabb77BiBEjYG1tDZFIhPT09Dp5EhISMHToUJibm0MkEtV7zJUrV2LQoEEwNTVt9IsskToqKyuRmpoKf39/hf3+/v44efJko2X79u0LOzs7+Pn5ISUlpU76gwcP4OjoiK5du+Lll19GWlpao8erqKhAcXGxfCspKVH/grRA3X6hqqoKCxcuRK9evWBmZoZnnnkGf//735GTk6OQT5V+4ffff8e4ceNgbW0Nc3Nz+Pr61nsviIiIiIhaAw6q6Lm33noL6enp2LdvH/bt24f09HRMnjy50TKlpaXw9fXFmjVrGsxTVlaGgIAA/POf/2wwT2VlJV5//XW88847TY6f6El37txBTU1Nnde/2traIi8vr94ydnZ2SEhIwO7du/HNN9+gR48e8PPzw3//+195Hjc3NyQnJ+O7777DF198AYlEAl9fX1y5cqXBWFavXi0fmLCwsICHh0fzXKSGqdsvlJWV4fz58wgPD8f58+fxzTff4Pfff8fYsWPr5FPWL4wePRrV1dU4fPgwUlNT0adPH7z88ssN3jsiIiIiIl0mEgRB0HYQrdGff/4Je3t7ZGdnN+urU4cOHYqePXsCALZt2wYDAwO88847WLFiBUQikVrHysjIgIeHB06fPo2BAwcCAE6fPg0fHx9cvnwZPXr0aLR8VlYWnJ2dkZaWhj59+tSb58iRIxg2bBiKiooanI2SnJyM0NBQpTNkqGVoqu22lJycHHTp0gUnT56Ej4+PfP/KlSvxf//3fwqLzzZmzJgxEIlE+O677+pNl8lk6NevHwYPHoyPP/643jwVFRWoqKiQf7516xY8PDz0ul+odfbsWTz33HP4448/6qxj01C/cOfOHdjY2OC///0vXnjhBQBASUkJzM3NcfDgQfj5+al1LdQ8WnufQERERKRNnKmig7Zs2QJDQ0OcOXMGH3/8MWJjY/HZZ58BAEJCQtCuXbtGt5s3bwIATp06BQsLC/kXJwDw9vaGhYWF0sckiHSVtbU1DAwM6sxsyM/PrzN7pTHe3t6NzkIRi8UYMGBAo3lMTExgbm4u39q3b6/y+dWla/3C/fv3IRKJ1Hq0r2PHjnB3d8fWrVtRWlqK6upqfPrpp7C1tYWXl5fKxyEiIiIi0hVcqFYH2dvbIzY2FiKRCD169MCFCxcQGxuL4OBgLF++HO+//36j5Z955hkAQF5eHjp16lQnvVOnTpxqT62WsbExvLy8cODAAbz66qvy/QcOHMC4ceNUPk5aWhrs7OwaTBcEAenp6ejVq9dTxdtcdKlfKC8vx6JFi/DWW28pvE1JGZFIJL9P7du3h1gshq2tLfbt28d1l4iIiIioVeKgig7y9vZWmNLv4+OD9evXo6amBp06dar3C1FD6ns0QBAEtR8ZINIlYWFhmDx5Mvr37w8fHx8kJCTg5s2bCAkJAQAsXrwYt27dwtatWwE8ejuQk5MTPD09UVlZiW3btmH37t3YvXu3/JjLli2Dt7c3XF1dUVxcjI8//hjp6enYuHGjVq7xSbrSL1RVVeGNN96ATCZDfHy8yuesPcesWbPQqVMnHDt2DFKpFJ999hlefvllnD17ttFBLiIiIiIiXcRBlVYmJCQE27ZtazTPpUuX4ODggM6dO+P27dt10gsKCtR6TIJI10yaNAl3797F8uXLkZubi549e+LHH3+Eo6MjACA3N1f+uAvwaNHk999/H7du3YJUKoWnpyd++OEHjBo1Sp7n3r17mDFjBvLy8mBhYYG+ffviv//9L5577rkWvz51tVS/UFVVhYkTJ+LGjRs4fPiwWrNUAODw4cP4z3/+g6KiInnZ+Ph4HDhwAFu2bMGiRYvUOh4RERERkbZxUEUHnT59us5nV1dXGBgYqDXN38fHB/fv38cvv/wi/2J45swZ3L9/H4MGDdJM8EQtZNasWZg1a1a9acnJyQqfFyxYgAULFjR6vNjYWMTGxjZXeM1O2/1C7YDKlStXkJKSgo4dO6p9DWVlZQAerVfzOLFYDJlMpvbxiIiIiIi0jYMqOig7OxthYWGYOXMmzp8/j3//+99Yv349AKg1zd/d3R0BAQEIDg7Gp59+CgCYMWMGXn75ZYU3fLi5uWH16tXy9SkKCwtx8+ZN5OTkAAAyMzMBAJ07d0bnzp0BPFqXIS8vD1evXgUAXLhwAe3bt4eDgwM6dOgAALh586b8WDU1NUhPTwcAdOvWDe3atXuaKiJqc7TZL1RXV+O1117D+fPn8Z///Ac1NTXy9Vc6dOgAY2NjAMr7BR8fH1hZWWHKlClYunQppFIpEhMTcePGDYwePbrZ6oqIiIiIqMUI1CTZ2dkCACE7O7tZjztkyBBh1qxZQkhIiGBubi5YWVkJixYtEmQyWZOOd/fuXSEwMFBo37690L59eyEwMFAoKipSyANASEpKkn9OSkoSANTZIiIi5HkiIiLqzfP4caZMmVJvnpSUlCZdCzUPTbVd0t9+4caNG/X+v/zk/8+q9Atnz54V/P39hQ4dOgjt27cXvL29hR9//LFJ10HNg30CERERUdOJBEEQND90o3/+/PNP2NvbIzs7G127dm224w4dOhR9+vRBXFxcsx2T6HGaarvEfoFaJ/YJRERERE3Hx39akCAIKC8vbzSPTCZDdXU1Hj582EJR6SaJRMI3FFGbwH5BdewXiIiIiEjXcFClhQiCgOnTp+O3335rNF9mZiYyMzPrLErZ1vTuHmukugAAQ8BJREFU3RufffYZv0CRXmO/oB72C0RERESkazio0kLKy8uVfnECoLBQZFv266+/ory8HFKpVNuhEGkM+wX1sF8gIiIiIl3DQRUt+Pnnn/mloAEPHz6Ev7+/tsMganHsFxrGfoGIiIiIdBUHVbRAKpXyyxMRKWC/QERERETU+oi1HQARERERERERUWvEQRUiIiIiIiIioibg4z9ERFoikUhw7Ngx+c9UP9YTEREREekqDqq0EH4pUA3ridoSkUjEdVRUwHoiIiIiIl3FQZUWwi8FqmE9ERERERERUWvRKtZUiY+Ph7OzMyQSCby8vOQzGZQ5ceIEDA0N0adPH4X9ycnJEIlEdbby8nINRE9ERERERERE+kjnB1V27dqF0NBQLFmyBGlpaXjhhRcwcuRI3Lx5s9Fy9+/fx9///nf4+fnVm25ubo7c3FyFjY+bEBEREREREZGqdP7xn5iYGEyfPh1BQUEAgLi4OOzfvx+bNm3C6tWrGyw3c+ZMvPXWWzAwMMC3335bJ10kEqFz586aCpuoxfh8dURpnlOvD9V4HERERERERG2NTs9UqaysRGpqKvz9/RX2+/v74+TJkw2WS0pKwrVr1xAREdFgngcPHsDR0RFdu3bFyy+/jLS0tEZjqaioQHFxsXwrKSlR72KIiIiIiIiISK/o9EyVO3fuoKamBra2tgr7bW1tkZeXV2+ZK1euYNGiRTh27BgMDeu/PDc3NyQnJ6NXr14oLi7GRx99BF9fX/z6669wdXWtt8zq1auxbNkyteJ/+I5qa79IN72g1nGJiPRNxFf9lOZZ9vr5FoiEiIiIiEh1Oj1TpZZIJFL4LAhCnX0AUFNTg7feegvLli1D9+7dGzyet7c33n77bfTu3RsvvPACvvzyS3Tv3h3//ve/GyyzePFi3L9/X75dunSp6RdERERERERERK2eTs9Usba2hoGBQZ1ZKfn5+XVmrwBASUkJzp07h7S0NMyZMwcAIJPJIAgCDA0N8fPPP2P48OF1yonFYgwYMABXrlxpMBYTExOYmJjIPxcXFzf1soiISIkfjSbU3fftyjr7uop311t+z1jOaiEiIiIizdPpmSrGxsbw8vLCgQMHFPYfOHAAgwYNqpPf3NwcFy5cQHp6unwLCQlBjx49kJ6ejoEDB9Z7HkEQkJ6eDjs7O41cBxERERERERHpH52eqQIAYWFhmDx5Mvr37w8fHx8kJCTg5s2bCAkJAfDosZxbt25h69atEIvF6Nmzp0L5Tp06QSKRKOxftmwZvL294erqiuLiYnz88cdIT0/Hxo0bW/TaiIiIiIiIiKj10vlBlUmTJuHu3btYvnw5cnNz0bNnT/z4449wdHQEAOTm5uLmzZtqHfPevXuYMWMG8vLyYGFhgb59++K///0vnnvuOU1cAhERachNDJD/7ICzWoyEiIiIiNoinR9UAYBZs2Zh1qxZ9aYlJyc3WjYyMhKRkZEK+2JjYxEbG9tM0RERERERERFRW9QqBlWIiEg/eX/93aMfRJEK+w2qFfPVGF5omYCIiIiIiNTAQRWiVu7U60O1HQIREREREVGbpNNv/yEiIiIiIiIi0lWcqaJB0k0vaDsEIiK9IxI6yH82qPnr51voo4VoiIiIiKgt40wVIiLSeWKZE8QyJ22HQURERESkgIMqRETUasjEN7UdAhERERGRHAdViIiIiIiIiIiagIMqRERERERERERNwEEVIiJqNYJLzmo7BCIiIiIiOQ6qEBERERERERE1AV+pTEREWnP6tbEAgIHfbNdyJERERERE6uNMFSIiIiIiIiKiJuCgChERERERERFRE/DxHyIi0roz4wPr7Ptke796804rS1T4HBJ4XiMxEREREREpw0GVFpb2kZdK+frOT9VwJEStW3x8PNauXYvc3Fx4enoiLi4OL7zwQr15jxw5gmHDhtXZn5GRATc3N/nn3bt3Izw8HNeuXYOLiwtWrlyJV199VWPXQERERERErRsf/yGiVmfXrl0IDQ3FkiVLkJaWhhdeeAEjR47EzZs3Gy2XmZmJ3Nxc+ebq6ipPO3XqFCZNmoTJkyfj119/xeTJkzFx4kScOXNG05dDREREREStFGeqEFGrExMTg+nTpyMoKAgAEBcXh/3792PTpk1YvXp1g+U6deoES0vLetPi4uLw0ksvYfHixQCAxYsX4+jRo4iLi8MXX3zR7NdAyvGxHiIiIiLSdZypQkStSmVlJVJTU+Hv76+w39/fHydPnmy0bN++fWFnZwc/Pz+kpKQopJ06darOMUeMGNHoMSsqKlBcXCzfSkpK1LwaIiIiIiJqzThThUjHDdr5q0r5Tr7RW8OR6IY7d+6gpqYGtra2CvttbW2Rl5dXbxk7OzskJCTAy8sLFRUV+L//+z/4+fnhyJEjGDx4MAAgLy9PrWMCwOrVq7Fs2bKnvCIiIiIiImqtOKhCRK2SSCRS+CwIQp19tXr06IEePXrIP/v4+CA7Oxvr1q2TD6qoe0zg0SNCYWFh8s+3bt2Ch4eHWtdBREREREStFx//IaJWxdraGgYGBnVmkOTn59eZadIYb29vXLlyRf65c+fOah/TxMQE5ubm8q19+/Yqn5+IiIiIiFo/DqoQ6YlDfxzSdggtwtjYGF5eXjhw4IDC/gMHDmDQoEEqHyctLQ12dnbyzz4+PnWO+fPPP6t1TCIiIiIialv4+E8L+Cqp318fzBvO16244ccMiJQJOxqGmCEx8HP003YoGhcWFobJkyejf//+8PHxQUJCAm7evImQkBAAjx7LuXXrFrZu3Qrg0Zt9nJyc4OnpicrKSmzbtg27d+/G7t275cecP38+Bg8ejOjoaIwbNw579+7FwYMHcfz4ca1cIxERERER6T4OqjSTg596NZxo3HJxUNslE2SISY3BcIfhja4Dog8mTZqEu3fvYvny5cjNzUXPnj3x448/wtHREQCQm5uLmzdvyvNXVlbi/fffx61btyCVSuHp6YkffvgBo0aNkucZNGgQdu7ciQ8//BDh4eFwcXHBrl27MHDgwBa/PiIiIiIiah1EgiAI2g6iNfrzzz9hb2+P7OxsdO3atdFBlSJj1ar49X+cb67wSI+o+vafkoq3AQDJAcnwsm24PT7Zdqn5sG6pNWK7JSIiImo6rqlCpGcKygq0HQIREREREVGbwEEVIj1jY2qj7RCIiIiIiIjaBK6pokNyo7xg92GqtsMgHXPyjd4AAEEQMHrPaGSXZDeY16G9A/p16tdgOhERERERETUfzlQhaiVEIhHe83oPYlH9/9uKRWKEeYXp/SK1REREREREuoKDKkStiJ+jH2KGxMChvYPCfof2Dm3mdcpERERERES6go//EOmw7etL69nrjbfwpcKet/5uyhkqRERERERELYyDKjqmPOxfAABJzAItR0K64tn7yvOcjiiDz3IzzQdDREREREREchxUaQFWlX/NIPDk226JiIiIiIiI9AIHVZrJizMbfmtP+YK/AwCKzC+2VDhEREREREREpGEcVCHSUWXTruNVJXl+7WrbIrEQERERERFRXa3i7T/x8fFwdnaGRCKBl5cXjh07plK5EydOwNDQEH369KmTtnv3bnh4eMDExAQeHh7Ys2dPM0dNRERERERERPpM52eq7Nq1C6GhoYiPj4evry8+/fRTjBw5EpcuXYKDg0OD5e7fv4+///3v8PPzw+3btxXSTp06hUmTJmHFihV49dVXsWfPHkycOBHHjx/HwIEDmxTnw7m7GkkdDQCwfDga92z/1aTjExEREREREZFu0fmZKjExMZg+fTqCgoLg7u6OuLg42NvbY9OmTY2WmzlzJt566y34+PjUSYuLi8NLL72ExYsXw83NDYsXL4afnx/i4uI0dBV/sSr2bHgrnKTx8xMRERERERFR89DpQZXKykqkpqbC399fYb+/vz9OnjzZYLmkpCRcu3YNERER9aafOnWqzjFHjBjR6DErKipQXFws30pKStS4EiIiIiIiIiLSNzr9+M+dO3dQU1MDW1vFxThtbW2Rl5dXb5krV65g0aJFOHbsGAwN67+8vLw8tY4JAKtXr8ayZcvUvIJ6VPd8+mMQERERERERkdbp9EyVWiKRSOGzIAh19gFATU0N3nrrLSxbtgzdu3dvlmPWWrx4Me7fvy/fLl26pMYVEBEREREREZG+0emZKtbW1jAwMKgzgyQ/P7/OTBMAKCkpwblz55CWloY5c+YAAGQyGQRBgKGhIX7++WcMHz4cnTt3VvmYtUxMTGBiYiL/XFxc3KRrcjP2VPjs1NEUKe8PbXRAh6ghPsvNtB0CERERERFRm6XTM1WMjY3h5eWFAwcOKOw/cOAABg0aVCe/ubk5Lly4gPT0dPkWEhKCHj16ID09Xf5mHx8fnzrH/Pnnn+s9piaJRcCike4cUCEiIiIiIiJqhTQ2U+Xhw4cQBAGmpqYAgD/++AN79uyBh4dHnUViGxMWFobJkyejf//+8PHxQUJCAm7evImQkBAAjx7LuXXrFrZu3QqxWIyePRXXLOnUqRMkEonC/vnz52Pw4MGIjo7GuHHjsHfvXhw8eBDHjx9vhitXjVNHUywa6Y6Anp1b7JzUupQYNTxzqpZpC8TRnJqrXyAiIiIiItIFGhtUGTduHMaPH4+QkBDcu3cPAwcOhJGREe7cuYOYmBi88847Kh1n0qRJuHv3LpYvX47c3Fz07NkTP/74IxwdHQEAubm5uHnzplqxDRo0CDt37sSHH36I8PBwuLi4YNeuXfKZLJr07zf7wtZcggFOVpyhQm1Oc/ULREREREREukAkCIKgiQNbW1vj6NGj8PT0xGeffYZ///vfSEtLw+7du7F06VJkZGRo4rQt5s8//4S9vT2ys7PRtWtXbYdDemLJp6Xyn+edV57f9lP111TRZttlv0Cke9huiYiIiJpOYzNVysrK0L59ewCP1isZP348xGIxvL298ccff2jqtER64+N+DaetnNk6F6hlv0BERERERPpEYwvVduvWDd9++y2ys7Oxf/9++XoJ+fn5MDc319RpiUiHsV8gIiIiIiJ9orFBlaVLl+L999+Hk5MTBg4cCB8fHwCP/jrdt29fTZ2WiHQY+wUiIiIiItInGnv857XXXsPzzz+P3Nxc9O7dW77fz88Pr776qqZOS0Q6jP0CERERERHpE40NqgBA586d0bmz4iuDn3vuOU2ekoh0HPsFIiIiIiLSFxobVCktLcWaNWtw6NAh5OfnQyaTKaRfv35dU6cm0nvPb7urNM/xtzu2QCTqYb9ARERERET6RGODKkFBQTh69CgmT54MOzs7iEQiTZ2KiFoJ9gtERERERKRPNDao8tNPP+GHH36Ar6+vpk5BRK0M+wUiIiIiItInGnv7j5WVFTp06KCpwxNRK8R+gYiIiIiI9InGZqqsWLECS5cuxZYtW2Bqaqqp0xDplZUzzZTmUWU9FV3FfoGIiIiIiPSJxgZV1q9fj2vXrsHW1hZOTk4wMjJSSD9//rymTk1EOor9AhERERER6RONDaq88sormjo0EbVS7BeIiIiIiEifaGxQJSIiQlOHJqJWiv0CERERERHpE40NqtRKTU1FRkYGRCIRPDw80LdvX02fkoh0HPsFIiIiIiLSBxobVMnPz8cbb7yBI0eOwNLSEoIg4P79+xg2bBh27twJGxsbTZ2aiHQU+wUiIiIiItInGhtUmTt3LoqLi3Hx4kW4u7sDAC5duoQpU6Zg3rx5+OKLLzR1aiK9dvztjtoOocnYLxARERERkT7R2KDKvn37cPDgQfkXJwDw8PDAxo0b4e/vr6nTEpEOY79ARERERET6RKypA8tksjqvSwUAIyMjyGQyTZ2WiHRYc/YL8fHxcHZ2hkQigZeXF44dO6ZSuRMnTsDQ0BB9+vRR2J+cnAyRSFRnKy8vVysuIiIiIiJqO/5fe/ceF2Wd93/8PZyLVTQPWIHIzzRAdBM8gGy5eSDdvDNrN1Kzk6aWloq5yZ2W0kHbUskDprspuZW6laV3axnWXUJabghtu6hraYsiYNoKqAnCXL8/vJkcURnGGebA6/l4zEPne33ne32vz8zj8xg+c13fy2lFlQEDBmjKlCk6fPiwpa24uFjTpk3TwIEDnbVbAG7MUXlh/fr1mjp1qp588knl5+frxhtv1NChQ1VUVHTJ15WXl+vee++96L5atmypkpISq0dQUJDN8wIAAADQvDitqLJ06VJVVlaqU6dO6ty5s6677jpFRkaqsrJSS5YscdZuAbgxR+WFhQsXauzYsRo3bpyio6OVkZGh8PBwLV++/JKvmzBhgkaNGqXExMQLbjeZTOrQoYPVAwAAAAAuxmlrqoSHh2vXrl3Kzs7Wnj17ZBiGYmJiNGjQIGftEoCbc0ReqK6uVl5enmbOnGnVnpycrO3bt1/0datXr9Z3332n119/Xc8+++wF+5w4cUIRERGqra3VDTfcoGeeeeaSt3uuqqpSVVWV5XllZaXNxwEAAADA8zmtqFJn8ODBGjx4sLN3A8CDXE5eOHr0qGpraxUaGmrVHhoaqtLS0gu+Zt++fZo5c6ZycnLk53fhtBcVFaWsrCx1795dFRUVevnll5WUlKSvv/5aXbp0ueBr5s2bp7lz59p1HAAAAAA8n0OLKosXL9b48eMVFBSkxYsXX7LvY4895shdA3BTzsoLJpPJ6rlhGPXaJKm2tlajRo3S3Llz1bVr14uOl5CQoISEBMvzpKQkxcXFacmSJRedd1pamlJTUy3Pi4uLFRMTY/MxAAAAAPBsDi2qLFq0SKNHj1ZQUJAWLVp00X4mk4miCtBMODovtG3bVr6+vvXOSjly5Ei9s1eks5fkfPXVV8rPz9fkyZMlnb0LkWEY8vPz00cffaQBAwbUe52Pj4969+6tffv2XXQugYGBCgwMtDyvqKhocP4AAAAAvIdDiyoHDhy44P8BNF+OzgsBAQGKj49Xdna2RowYYWnPzs7W8OHD6/Vv2bKlvvnmG6u2zMxMffLJJ3r77bcVGRl5wf0YhqGCggJ17979sucMAAAAwDs57e4/6enpOnXqVL32n376Senp6c7aLQA35qi8kJqaqj/96U9atWqVdu/erWnTpqmoqEgTJ06UdPaynHvvvVfS2TNOYmNjrR7t27dXUFCQYmNjFRwcLEmaO3eutmzZov3796ugoEBjx45VQUGBZUwAAAAAOJ/Tiipz587ViRMn6rWfOnWKhR2BZspReSElJUUZGRlKT0/XDTfcoG3btmnz5s2KiIiQJJWUlKioqKhRczt+/LjGjx+v6OhoJScnq7i4WNu2bVOfPn0aNQ4AAACA5sNkGIbhjIF9fHxUVlamdu3aWbV/8sknSklJ0Q8//OCM3TaZQ4cOKTw8XAcPHlRYWJirpwPYzJWfXfIC4H743AIAANjP4bdUbt26tUwmk0wmk7p27Wp1N47a2lqdOHGC0+mBZoa8AAAAAMAbObyokpGRIcMw9OCDD2ru3LkKCQmxbAsICFCnTp2UmJjo6N0CcGPkBQAAAADeyOFFlfvuu081NTWSpEGDBnEqMQDyAgAAAACv5JSFav38/PTII4+otrbWGcMD8EDkBQAAAADexml3/+nbt6/y8/OdNTwAD0ReAAAAAOBNHH75T51HHnlE06dP16FDhxQfH6/g4GCr7T169HDWrgG4KfICAAAAAG/itKJKSkqKJOmxxx6ztJlMJhmGIZPJxCUAQDNEXgAAAADgTZx2+c+BAwfqPfbv32/5tzEyMzMVGRmpoKAgxcfHKycn56J9c3NzlZSUpDZt2uiKK65QVFSUFi1aZNUnKyvLcnvXcx+nT5+261gB2MaReQEAAAAAXM1pZ6pEREQ4ZJz169dr6tSpyszMVFJSklasWKGhQ4eqsLBQHTt2rNc/ODhYkydPVo8ePRQcHKzc3FxNmDBBwcHBGj9+vKVfy5YttXfvXqvXBgUFOWTOAC7MUXkBAAAAANyB04oqkvTdd98pIyNDu3fvlslkUnR0tKZMmaLOnTvbPMbChQs1duxYjRs3TpKUkZGhLVu2aPny5Zo3b169/j179lTPnj0tzzt16qQNGzYoJyfHqqhiMpnUoUMHm+dRVVWlqqoqy/PKykqbXwvgZ47ICwAAAADgDpx2+c+WLVsUExOjnTt3qkePHoqNjdWXX36pbt26KTs726YxqqurlZeXp+TkZKv25ORkbd++3aYx8vPztX37dvXv39+q/cSJE4qIiFBYWJiGDRvW4B1J5s2bp5CQEMsjJibGpv0D+Jkj8gIAAAAAuAunnakyc+ZMTZs2TfPnz6/X/sQTT2jw4MENjnH06FHV1tYqNDTUqj00NFSlpaWXfG1YWJh++OEH1dTUaM6cOZYzXSQpKipKWVlZ6t69uyoqKvTyyy8rKSlJX3/9tbp06XLB8dLS0pSammp5XlxcTGEFaCRH5AUAAAAAcBdOK6rs3r1bf/nLX+q1P/jgg8rIyGjUWCaTyep53Z1CLiUnJ0cnTpzQF198oZkzZ+q6667TyJEjJUkJCQlKSEiw9E1KSlJcXJyWLFmixYsXX3C8wMBABQYGWp5XVFQ06hgAODYvAAAAAICrOa2o0q5dOxUUFNQ786OgoEDt27e3aYy2bdvK19e33lkpR44cqXf2yvkiIyMlSd27d1dZWZnmzJljKaqcz8fHR71799a+fftsmhcA+zgiLwAAAACAu3BaUeWhhx7S+PHjtX//fvXr108mk0m5ubl64YUXNH36dJvGCAgIUHx8vLKzszVixAhLe3Z2toYPH27zXAzDsFpk9kLbCwoK1L17d5vHBNB4jsgLAAAAAOAunFZUmT17tlq0aKEFCxYoLS1NknTNNddozpw5euyxx2weJzU1VWPGjFGvXr2UmJiolStXqqioSBMnTpR0dq2T4uJirVmzRpK0bNkydezYUVFRUZKk3NxcvfTSS3r00UctY86dO1cJCQnq0qWLKioqtHjxYhUUFGjZsmWOOnwAF+CovAA0N796/ZhN/XLvaePkmQAAAOBcTiuqmEwmTZs2TdOmTbPcfrhFixaNHiclJUXHjh1Tenq6SkpKFBsbq82bNysiIkKSVFJSoqKiIkt/s9mstLQ0HThwQH5+furcubPmz5+vCRMmWPocP35c48ePV2lpqUJCQtSzZ09t27ZNffr0ucyjBnApjsoLAAAAAOAOTIZhGM7cwZEjR7R3716ZTCZdf/31ateunTN312QOHTqk8PBwHTx4UGFhYa6eDmAzd/jskheAxnHmmSp8bgEAAOzn46yBKyoqNGbMGF1zzTXq37+/brrpJl1zzTW65557VF5e7qzdAnBj5AUAAAAA3sRpRZVx48bpyy+/1F//+lcdP35c5eXlev/99/XVV1/poYcectZuAbgx8gIAAAAAb+K0NVX++te/asuWLfrVr35labvlllv0xz/+UUOGDHHWbgG4MfICAAAAAG/itDNV2rRpo5CQkHrtISEhat26tbN2C8CNkRcAAAAAeBOnFVVmzZql1NRUlZSUWNpKS0s1Y8YMzZ4921m7BeDGyAsAAAAAvInTLv9Zvny5vv32W0VERKhjx46SpKKiIgUGBuqHH37QihUrLH137drlrGkAcCPkBQAAAADexGlFldtvv91ZQwPwUOQFwD723CoZAAAAzue0osrTTz/trKEBeCjyAgAAAABv4rSiSp28vDzt3r1bJpNJMTEx6tmzp7N3CcDNkRcAAAAAeAOnFVWOHDmiu+++W59++qlatWolwzBUXl6um2++WevWrVO7du2ctWsAboq8AAAAAMCbOK2o8uijj6qiokL//Oc/FR0dLUkqLCzUfffdp8cee0xr16511q4BuCnygjXDMLTzwI8qq6xSaItA9Ym8SiaTydXTggd5Y8HJBvuMnh7cBDMBAABonpxWVPnwww+1detWyx9OkhQTE6Nly5YpOTnZWbsF4MbICz/78B+lmvfBbv372ClLW0SbK5U2NFpDYju4cGZwd6ce3G/5/4iL9Hm3W2jTTAYAAKCZc1pRxWw2y9/fv167v7+/zGazs3YLwI2RF8768B+leuSNPJkN6/Z/HzulR97IU+boeAorsNJv3deW/29VCxfOBAAAAOfycdbAAwYM0JQpU3T48GFLW3FxsaZNm6aBAwc6a7cA3Bh54ewlP/M+2F2voFLHbEjzP9gtw7hIBzRr7/7vda6eAgAAAM7htDNVli5dquHDh6tTp04KDw+XyWRSUVGRunfvrtdff91ZuwXgxsgL0s4DP1pd8nMh3x87pb99/x/1ibyqiWYFb/P/yn/+/46nLrzuSmI6a60AAABcLqcVVcLDw7Vr1y5lZ2drz549MgxDMTExGjRokLN2CcDNkRekssoq2/pVnHbyTAAAAABcLqcUVWpqahQUFKSCggINHjxYgwcPdsZuAHgQ8sJZoS0CbevXMsjJMwEAAABwuZyypoqfn58iIiJUW1vrjOEBeCDywll9Iq9SRJsrL9mnU5sr1btT6yaaEQAAAAB7OW2h2lmzZiktLU0//vijs3YBwMOQFySTyaS0odHyMV14u49Jmjk0WibTRToAAAAAcBtOW1Nl8eLF+vbbb3XNNdcoIiJCwcHWC+Lt2rXLWbsG4KbIC2cNie2gzNHxmv/Bbn1/zqK1ndpcqZlDo7mdMgAAAOAhnFZUuf3222UymbgtKAALR+aFzMxMvfjiiyopKVG3bt2UkZGhG2+8scHXff755+rfv79iY2NVUFBgte2dd97R7Nmz9d1336lz58567rnnNGLEiMue64UMie2gW7qFaueBH3WkskqhLYPUu1NrzlABAAAAPIjDiyqnTp3SjBkz9N577+nMmTMaOHCglixZorZt2zp6VwA8hKPzwvr16zV16lRlZmYqKSlJK1as0NChQ1VYWKiOHTte9HXl5eW69957NXDgQJWVlVlt27Fjh1JSUvTMM89oxIgRevfdd3XXXXcpNzdXffv2tWueDTGZTOr7/9o4ZWx4r0r/0Etu33/pzQAAAHAgh6+p8vTTTysrK0u33nqrRo4cqa1bt+rhhx929G4AeBBH54WFCxdq7NixGjdunKKjo5WRkaHw8HAtX778kq+bMGGCRo0apcTExHrbMjIyNHjwYKWlpSkqKkppaWkaOHCgMjIy7J4n4Cjb7/6ltt/9S1dPAwAAAOdx+JkqGzZs0Kuvvqq7775bkjR69GglJSWptrZWvr6+jt4dAA/gyLxQXV2tvLw8zZw506o9OTlZ27dvv+jrVq9ere+++06vv/66nn322Xrbd+zYoWnTplm13XLLLZcsqlRVVamqqsryvLKy0sajAOwTuiL4ktufXHHSpnGem3DpcQAAAGAbh5+pcvDgQat1Dfr06SM/Pz8dPnzY0bsC4CEcmReOHj2q2tpahYZaX+MQGhqq0tLSC75m3759mjlzpt544w35+V24llxaWtqoMSVp3rx5CgkJsTxiYmIaeTQAAAAAPJnDiyq1tbUKCAiwavPz81NNTY2jdwXAQzgjL5y/oKthGBdc5LW2tlajRo3S3Llz1bVrV4eMWSctLU3l5eWWR2FhYSOOAAAAAICnc/jlP4Zh6P7771dgYKCl7fTp05o4caLV7VM3bNjg6F0DcFOOzAtt27aVr69vvTNIjhw5Uu9ME+nsJTlfffWV8vPzNXnyZEmS2WyWYRjy8/PTRx99pAEDBqhDhw42j1knMDDQ6pgqKioanD8AAAAA7+Hwosp9991Xr+2ee+5x9G4AeBBH5oWAgADFx8crOzvb6nbH2dnZGj58eL3+LVu21DfffGPVlpmZqU8++URvv/22IiMjJUmJiYnKzs62Wlflo48+Ur9+/eyaJ+AKrJUCAADQtBxeVFm9erWjhwTg4RydF1JTUzVmzBj16tVLiYmJWrlypYqKijRx4kRJZy/LKS4u1po1a+Tj46PY2Fir17dv315BQUFW7VOmTNFNN92kF154QcOHD9fGjRu1detW5ebmOnTuAAAAALyHw4sqAOBsKSkpOnbsmNLT01VSUqLY2Fht3rxZERERkqSSkhIVFRU1asx+/fpp3bp1mjVrlmbPnq3OnTtr/fr16tu3rzMOAQAAAIAXMBmGYbh6Ep7o0KFDCg8P18GDBxUWFubq6QA247PrPMQWnojPLQAAgP0cfvcfAAAAAACA5oDLfwDASX56dL1N/a5YkuLkmQAAAABwBs5UAQAAAAAAsINHFFUyMzMVGRmpoKAgxcfHKycn56J9c3NzlZSUpDZt2uiKK65QVFSUFi1aVK/fO++8o5iYGAUGBiomJkbvvvuuMw8BAAAAAAB4Gbcvqqxfv15Tp07Vk08+qfz8fN14440aOnToRe/sERwcrMmTJ2vbtm3avXu3Zs2apVmzZmnlypWWPjt27FBKSorGjBmjr7/+WmPGjNFdd92lL7/8sqkOCwAAAAAAeDi3v/tP3759FRcXp+XLl1vaoqOjdfv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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"out_boot.plot()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"------------------"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Partially replicated data"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"We now imagine that the cond_1 dataset was not replicated. This will trigger a partial bootstrapping method."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"adata_partial = adata.copy()\n",
"adata_partial.obs.loc[adata_partial.obs[\"group\"] == \"cond_1\", \"sample\"] = \"S1\""
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The following conditions don't have replicates: cond_1\n",
"Both normal scanpro and sim_scanpro will be performed.\n",
"Running scanpro with original replicates...\n",
"There are 2 conditions. T-Test will be performed...\n",
"Done!\n",
"Running scanpro with simulated replicates...\n",
"Generating 8 replicates and running 100 simulations...\n",
"Finished 100 simulations in 10.59 seconds\n",
"To access results for original replicates, run , and for simulated results\n"
]
},
{
"data": {
"text/html": [
"
"
],
"text/plain": [
"cluster c1 c2 c3 c4 c5\n",
"sample \n",
"S1 -5.198679 -2.698113 -1.733536 -0.452733 -0.436502\n",
"S2 -4.893820 -3.688879 -1.950396 -0.350114 -0.280595\n",
"S3 -4.553587 -2.826251 -2.222005 -1.144124 0.381781\n",
"S4 -5.288267 -2.241485 -1.281479 -0.853905 -0.476938\n",
"S5 -4.566171 -3.142492 -1.372083 -0.262750 -0.793816\n",
"S6 -4.533900 -3.027010 -1.612283 -0.418396 -0.489623"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"prop_trans"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"cluster\n",
"c5 0.409531\n",
"c4 0.374093\n",
"c3 0.156935\n",
"c2 0.051161\n",
"c1 0.008280\n",
"Name: count, dtype: float64"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# proportions of each cluster in all samples\n",
"baseline_props = adata.obs['cluster'].value_counts()/adata.obs.shape[0]\n",
"baseline_props"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"* Create design matrix using `create_design` function. The matrix has samples as rows and conditions and columns, whith 1s and 0s to specify which condition belongs to which sample (independent variables). The design matrix will be used as the X matrix in the linear model fit.\n",
"* Parameters:\n",
" - data: anndata object, or a pandas dataframe\n",
" - samples: name of samples column\n",
" - conds: name of conditions/groups column"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"text/plain": [
"group cond_1 cond_2 cond_3\n",
"sample \n",
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"S3 0 1 0\n",
"S4 0 1 0\n",
"S5 0 0 1\n",
"S6 0 0 1"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"design = create_design(data=adata, samples='sample', conds='group')\n",
"design"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 1, 2])"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# for anova -> more than 2 conditions/groups\n",
"# The coef parameter specify the columns in the design matrix containing conditions of interest\n",
"# that you want to compare\n",
"coef = np.arange(len(design.columns))\n",
"coef"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"* Since we have more than 2 conditions, use the function `anova` to compare. If you have two conditions or want to only compare two, then specify a contras variable `cont = [1, -1]` with 1 and -1 match the columns of the design matrix with two conditions you want to compare. if the design matrix has more than two conditions but you only want to compare two, put 1 and -1 where they match the columns of interest and fill the rest with 0s, in this case, to compare 10x and celseq: `cont = [1, -1, 0]`"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
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"text/plain": [
" mean_props_cond_1 mean_props_cond_2 mean_props_cond_3 \n",
"clusters \n",
"c1 0.006399 0.007605 0.010391 \\\n",
"c2 0.043683 0.075932 0.043750 \n",
"c3 0.137301 0.157528 0.184273 \n",
"c4 0.401103 0.270136 0.415870 \n",
"c5 0.411515 0.488800 0.345716 \n",
"\n",
" f_statistics p_values adjusted_p_values \n",
"clusters \n",
"c1 1.015703 0.362148 0.452685 \n",
"c2 1.907890 0.148393 0.370983 \n",
"c3 0.503052 0.604682 0.604682 \n",
"c4 2.019649 0.132702 0.370983 \n",
"c5 1.347237 0.259957 0.433262 "
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"anova(props, prop_trans, design, coef, robust=True)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"* Additionally, you can specify cofactors of interest and add them to the design matrix, either specify cofactor columns in the adata.obs as parameter `cofactor` to the `create_design` function, or add it manually to the design matrix. In our case, we will add pair information that specifies which sample is a replicate"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"X = design.iloc[:,coef]\n",
"N = len(X) # number of samples\n",
"p = len(X.columns) # number of conditions"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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