Skip to content

Instantly share code, notes, and snippets.

@avivajpeyi
Created February 5, 2025 07:19
Show Gist options
  • Save avivajpeyi/c14c4be1dfe7d4fd7d7ef7ed17afd38c to your computer and use it in GitHub Desktop.
Save avivajpeyi/c14c4be1dfe7d4fd7d7ef7ed17afd38c to your computer and use it in GitHub Desktop.
starccatto_jax_vae.ipynb
Display the source blob
Display the rendered blob
Raw
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyPOjgOZaUsuAPMgPZAqoeRW",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/avivajpeyi/c14c4be1dfe7d4fd7d7ef7ed17afd38c/starccatto_jax_vae.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "PNsEL-pl-MYg"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"# Training a VAE on supernova GW signals"
],
"metadata": {
"id": "_CkroFt3-Nf1"
}
},
{
"cell_type": "code",
"source": [
"import pandas as pd\n",
"\n",
"_ROOT_URL = \"https://raw.githubusercontent.com/starccato/data/main/training\"\n",
"SIGNALS_CSV = f\"{_ROOT_URL}/richers_1764.csv\"\n",
"PARAMETERS_CSV = f\"{_ROOT_URL}/richers_1764_parameters.csv\"\n",
"\n",
"parameters = pd.read_csv(PARAMETERS_CSV)\n",
"data = pd.read_csv(SIGNALS_CSV).astype(\"float32\")[parameters[\"beta1_IC_b\"] > 0]\n",
"data = data.values.T[:, 140:] # cut the first few datapoints\n",
"row_means = np.mean(data, axis=1, keepdims=True)\n",
"row_stds = np.std(data, axis=1, keepdims=True)\n",
"data = (data - row_means) / row_stds\n",
"\n",
"\n",
"for i in range(100):\n",
" plt.plot(data[i], color='k', lw=0.3, alpha=0.2)\n",
"\n",
"print(data.shape)\n",
"np.save('data.npy', data)\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 458
},
"id": "SM9ChGZepx9D",
"outputId": "358027ed-4e92-43ad-b3ab-aea7b98d5833"
},
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"<ipython-input-12-1dd86e3547e1>:11: UserWarning: Boolean Series key will be reindexed to match DataFrame index.\n",
" data = pd.read_csv(SIGNALS_CSV).astype(\"float32\")[parameters[\"beta1_IC_b\"] > 0]\n"
]
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"(1764, 256)\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"execution_count": 113,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "tPEgut-PlhHT",
"outputId": "69483715-e10b-41c8-e5f9-eff3b65f5b6d"
},
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x400 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x300 with 1 Axes>"
],
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAAE8CAYAAADXHOm2AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAaZRJREFUeJzt3Xd4U9UbB/Bv0jTpHnTQFgqUvYeMylBAVtkgggMEFEEEFJmyFESRIYgCslSm/ARFlojI3ohsZBXKHmUU6B5pm/P74zRp06Y7bUj7/TxPnib3nntz0pu0b85973sUQggBIiIiIiIrorR0B4iIiIiIcotBLBERERFZHQaxRERERGR1GMQSERERkdVhEEtEREREVodBLBERERFZHQaxRERERGR1GMQSERERkdVhEEtEREREVodBLBFRMaFQKDBlyhRLd4OIyCwYxBIR5cJ///2H1157DWXLloWdnR1KlSqFNm3aYP78+ZbumkUcOXIEzZo1g4ODA3x8fPDRRx8hOjra0t0iomKAQSwRUQ4dOXIEDRo0wNmzZzFw4EAsWLAA7733HpRKJb777jtLd6/QnTlzBq1atUJsbCy++eYbvPfee1i6dCl69uxp6a4RUTGgsnQHiIisxbRp0+Dq6orjx4/Dzc3NaN2jR48s0ykLmjBhAtzd3bFv3z64uLgAAMqVK4eBAwdix44daNu2rYV7SERFGUdiiYhy6Nq1a6hRo0aGABYAvL29jR4vX74cr7zyCry9vaHRaFC9enUsWrQow3blypVDp06dsG/fPjRo0AD29vaoVasW9u3bBwDYsGEDatWqBTs7O9SvXx+nT5822r5///5wcnLC9evX0a5dOzg6OsLPzw9Tp06FECLb13Tv3j28++67KFmyJDQaDWrUqIFly5Zlu11kZCR27tyJPn36GAJYAOjbty+cnJzw66+/ZrsPIqL8YBBLRJRDZcuWxcmTJ3H+/Pls2y5atAhly5bFhAkTMGfOHPj7+2PIkCH4/vvvM7QNCQnBW2+9hc6dO2P69Ol49uwZOnfujDVr1mDEiBHo06cPPv/8c1y7dg29evWCTqcz2j45ORlBQUEoWbIkZs2ahfr162Py5MmYPHlyln18+PAhXnzxRezatQvDhg3Dd999h4oVK2LAgAH49ttvs9z2v//+Q1JSEho0aGC0XK1Wo27duhmCbSIisxNERJQjO3bsEDY2NsLGxkY0btxYjB07Vvz9999Cq9VmaBsbG5thWbt27UT58uWNlpUtW1YAEEeOHDEs+/vvvwUAYW9vL27dumVYvmTJEgFA7N2717CsX79+AoD48MMPDct0Op3o2LGjUKvV4vHjx4blAMTkyZMNjwcMGCB8fX1FWFiYUZ/eeOMN4erqavI16P32228CgDhw4ECGdT179hQ+Pj6ZbktEZA4ciSUiyqE2bdrg6NGj6NKlC86ePYtZs2ahXbt2KFWqFLZs2WLU1t7e3nA/IiICYWFhaN68Oa5fv46IiAijttWrV0fjxo0NjwMDAwEAr7zyCsqUKZNh+fXr1zP0bdiwYYb7CoUCw4YNg1arxa5du0y+FiEEfv/9d3Tu3BlCCISFhRlu7dq1Q0REBE6dOpXp7yIuLg4AoNFoMqyzs7MzrCciKii8sIuIKBcaNmyIDRs2QKvV4uzZs9i4cSPmzp2L1157DWfOnEH16tUBAIcPH8bkyZNx9OhRxMbGGu0jIiICrq6uhsdpA1UAhnX+/v4mlz979sxouVKpRPny5Y2WVa5cGQBw8+ZNk6/j8ePHCA8Px9KlS7F06VKTbbK6WE0fpCckJGRYFx8fbxTEExEVBAaxRER5oFar0bBhQzRs2BCVK1fGO++8g99++w2TJ0/GtWvX0KpVK1StWhXffPMN/P39oVarsW3bNsydOzdDTquNjY3J58hsucjBBVvZ0fehT58+6Nevn8k2tWvXznR7X19fAEBoaGiGdaGhofDz88t3H4mIssIglogon/QXN+kDuj/++AMJCQnYsmWL0Sjr3r17C+T5dTodrl+/bhh9BYArV64AkNUPTPHy8oKzszOSk5PRunXrXD9nzZo1oVKpcOLECfTq1cuwXKvV4syZM0bLiIgKAnNiiYhyaO/evSZHQbdt2wYAqFKlCoDUEdS0bSMiIrB8+fIC69uCBQsM94UQWLBgAWxtbdGqVSuT7W1sbNCjRw/8/vvvJqstPH78OMvnc3V1RevWrfHzzz8jKirKsHz16tWIjo7mhAdEVOA4EktElEMffvghYmNj0b17d1StWhVarRZHjhzBunXrUK5cObzzzjsAgLZt20KtVqNz5854//33ER0djR9++AHe3t4mT7/nl52dHbZv345+/fohMDAQf/31F/78809MmDABXl5emW43Y8YM7N27F4GBgRg4cCCqV6+Op0+f4tSpU9i1axeePn2a5fNOmzYNTZo0QfPmzTFo0CDcvXsXc+bMQdu2bREUFGTul0lEZIQjsUREOTR79my0bNkS27Ztw8iRIzFy5Ej8+++/GDJkCI4dO2aYBKFKlSpYv349FAoFRo8ejcWLF2PQoEEYPnx4gfTLxsYG27dvx4MHDzBmzBgcP34ckydPxhdffJHldiVLlsS///6Ld955Bxs2bDDUin369ClmzpyZ7fO+8MIL2LVrF+zt7TFixAgsXboUAwYMwPr168310oiIMqUQ5rhCgIiILKJ///5Yv349oqOjLd0VIqJCxZFYIiIiIrI6DGKJiIiIyOowiCUiIiIiq8OcWCIiIiKyOhyJJSIiIiKrwyCWiIiIiKxOsZrsQKfT4f79+3B2doZCobB0d4iIiIgoHSEEoqKi4OfnB6Uy8/HWYhXE3r9/H/7+/pbuBhERERFl486dOyhdunSm64tVEOvs7AxA/lJcXFws3BsiIiIiSi8yMhL+/v6GuC0zxSqI1acQuLi4MIglIiIieo5ll/rJC7uIiIiIyOowiCUiIiIiq8MgloiIiIisTrHKiSUiIqKcEUIgKSkJycnJlu4KFTE2NjZQqVT5LnfKIJaIiIiMaLVahIaGIjY21tJdoSLKwcEBvr6+UKvVed4Hg1giIiIy0Ol0uHHjBmxsbODn5we1Ws0JgshshBDQarV4/Pgxbty4gUqVKmU5oUFWGMQS5ZAQwIQJwP79QJkyQJ06wIgRgJ2dpXtGRGQ+Wq0WOp0O/v7+cHBwsHR3qAiyt7eHra0tbt26Ba1WC7s8/iNlEEuUQytXAjNmyPtHjwLr1gGVKgGvvWbZfhERFYS8jo4R5YQ53l98hxLlQEgI8OGH8v6QIcALL8j7jx5Zrk9ERETFGYNYomwkJwN9+gDR0cDLLwPz5gG1asl1UVGW7RsREVFxxSCWKBs//wwcOwa4ugKrVwM2NoB+OmcGsURERcPNmzehUChw5syZHG+zYsUKuLm5WbwfxRWDWKIsaLXAlCny/oQJ8oIugEEsEdHz6s6dO3j33XcNlRXKli2L4cOH48mTJ1lu5+/vj9DQUNSsWTPHz/X666/jypUr+e0y5RGDWKIs/PQTcPMmULIkMGxY6nIXF/mTQSwR0fPj+vXraNCgAa5evYpffvkFISEhWLx4MXbv3o3GjRvj6dOnJrfTarWwsbGBj48PVKqcX/Nub28Pb29vc3WfcolBLFEm4uKAL7+U9ydOBNJWmuFILBEVJ0IAMTGFfxMid/0cOnQo1Go1duzYgebNm6NMmTJo3749du3ahXv37mHixIkAgHLlyuGLL75A37594eLigkGDBpk8jb9lyxZUqlQJdnZ2aNmyJVauXAmFQoHw8HAAGdMJpkyZgrp162L16tUoV64cXF1d8cYbbyAqzT+L7du3o1mzZnBzc4OHhwc6deqEa9eu5fXQFGsMYokysWgRcP++TCEYNMh4nT6IjYws/H4RERW22FjAyanwb7mZMOzp06f4+++/MWTIENjb2xut8/HxQe/evbFu3TqIlMh49uzZqFOnDk6fPo1PP/00w/5u3LiB1157Dd26dcPZs2fx/vvvG4LgrFy7dg2bNm3C1q1bsXXrVuzfvx8z9PUZAcTExGDkyJE4ceIEdu/eDaVSie7du0On0+X8xRIA1oklMikqCpg+Xd7/7DNAozFez5FYIqLny9WrVyGEQLVq1Uyur1atGp49e4bHjx8DAF555RWMGjXKsP7mzZtG7ZcsWYIqVarg66+/BgBUqVIF58+fx7Rp07Lsh06nw4oVK+Cc8o/i7bffxu7duw3b9ejRw6j9smXL4OXlhYsXL+YqH5cYxBKZ9N13QFiYnMygX7+M6xnEElFx4uAgywxa4nlzS+QwB6FBgwZZrg8ODkbDhg2NljVq1Cjb/ZYrV84QwAKAr68vHqUpKn716lV89tlnOHbsGMLCwgwjsLdv32YQm0sMYonSefYMmD1b3v/8c8BUjj+DWCIqThQKwNHR0r3IWsWKFaFQKHDp0iV07949w/pLly7B3d0dXl5eAADHAnpBtra2Ro8VCoVRqkDnzp1RtmxZ/PDDD/Dz84NOp0PNmjWh1WoLpD9FGXNiidKZMQOIiJATGrz+uuk2DGKJiJ4vHh4eaNOmDRYuXIi4uDijdQ8ePMCaNWvw+uuvQ6FQ5Gh/VapUwYkTJ4yWHT9+PF99fPLkCYKDgzFp0iS0atXKkOJAeWM1Qez06dPRsGFDODs7w9vbG926dUNwcLClu0VFTEgI8O238v5XXwGZTe2c7yBWqwX+/TePGxMRkSkLFixAQkIC2rVrhwMHDuDOnTvYvn072rRpg1KlSmWbz5rW+++/j8uXL+OTTz7BlStX8Ouvv2LFihUAkONAOD13d3d4eHhg6dKlCAkJwZ49ezBy5Mg87YusKIjdv38/hg4din/++Qc7d+5EYmIi2rZti5iYGEt3jYqQ0aNlfNm2LdCxY+bt9HViExOBhIRcPsmzZ7LwbOPGMvGWiIjMolKlSjhx4gTKly+PXr16oUKFChg0aBBatmyJo0ePokSJEjneV0BAANavX48NGzagdu3aWLRokaE6gSb91b45pFQqsXbtWpw8eRI1a9bEiBEjDBeOUe4pRE4zoJ8zjx8/hre3N/bv34+XX345R9tERkbC1dUVERERcNFHIUQpdu0C2rSR08qeOwdUr55mpRAyKSxFcnJqruzjx4CnZy6f7IUXgNOn5WwK776b774TEZlLfHw8bty4gYCAANjZ2Vm6O8+VadOmYfHixbhz546lu2L1snqf5TRes5qR2PQiIiIAIMtvVQkJCYiMjDS6EZkSGwsMHSrvDxmSJoDV6YBly4BSpYBq1YCVK4HERNjYpF41m6e3lf6ig40b89t1IiIqIAsXLsTx48dx/fp1rF69Gl9//TX6mSpZQxZhlUGsTqfDxx9/jKZNm2ZZjmL69OlwdXU13Pz9/Quxl2RNxo8HrlwB/PxkRQIAwI0bQGAgMGAAEBoKXL4M9O8PNGoExMTkPS921Spg7lx5f8cOXh1GRPScunr1Krp27Yrq1avjiy++wKhRozBlyhRLd4tSWGUQO3ToUJw/fx5r167Nst348eMRERFhuHH4n0zZvRuYN0/e/+knwN09ZcX77wMnTsgE2NmzgZkzAVdX4MwZYOvWvAexV6/KvFhAJuBu22aGV0FEROY2d+5c3L9/H/Hx8bhy5Qo+/fRTqEzVXSSLsLojMWzYMGzduhUHDhxA6dKls2yr0WjynHxNxUNEBPDOO/L+4MFAUFCalcuXy4WLF8t0AkAmv8bFAS1a5D2ITZ9/sHFj5rW8iIiIyCSrCWKFEPjwww+xceNG7Nu3DwEBAZbuEhUBw4cDd+4AFSoAGS4QLVUK+OMP42VpLsLKdxDbvbsMYP/8U5Y44BcuIiKiHLOaIHbo0KH43//+h82bN8PZ2RkPHjwAALi6usLe3t7CvSNrtGmTvE5LqZQ/nRwF0OdtoH17oHfvbLfPcxCbclEiWreWZbbatAHU6lzuhIiIqHizmpzYRYsWISIiAi1atICvr6/htm7dOkt3jazQnTvAoEHy/pgxQNOmkHmva9bI0dbbtzPf+MkTYPFi9L47E0A+RmLd3OST161rVL6LiIiIsmc1I7FWWs6WnkPh4UCHDrK+a+3aKdUIFi8Gxo6VDebOBcqUyXwHV64AH3yAbrbOUONjREXlMg1APxLLWsVERER5ZjUjsUTmoNUCr74KnD8P+PrKlFfNqh+ADz6QDUaPTr2fmcBAwM8P9olReAV7cl8nVqORRWb1QeymTUDfvsDFi7l9OURERMUWg1gqNoSQmQJ79wJOTrKyVZldy1LzCkaMAGbNyv7UvlKZkn8AVMaV3KcTHDoExMQA+pnmfvgBWL0a2Lw5lzsiIiIyr5s3b0KhUODMmTOW7kq2GMRSsTFxokx5VamA338H6iafBN57T6786CNgzpyc56amlNwqhXv5n6ugc2f5c+vWfO6IiKh469+/PxQKBRQKBWxtbREQEICxY8ciPj7e0l3LkX379kGhUCA8PLxQnq9///7o1q2b0TJ/f3+EhoZmOZnU88JqcmKJ8mPuXGD6dHn/hx+Atm0BiBeACRNkkuy33+bu4qo0Qeyh/AaxHTvKn0ePykRdL6987pCIqPgKCgrC8uXLkZiYiJMnT6Jfv35QKBSYOXOmpbtmNlqtFuoCqmpjY2MDHx+fAtm3uXEkloo0IYApU4CRI+Xjzz+XM8cCkEHrF18A8+fnvjpAXkdiIyKAl14COnUCdDq5zN8fqFlTdvbQodz1g4ioMMXEZH5LP9qZVdu4uOzb5pFGo4GPjw/8/f3RrVs3tG7dGjt37gQgp62fPn06AgICYG9vjzp16mD9+vVG21+4cAGdOnWCi4sLnJ2d8dJLL+HatWuG7adOnYrSpUtDo9Ggbt262L59u2Fb/an4DRs2oGXLlnBwcECdOnVw9OhRQ5tbt26hc+fOcHd3h6OjI2rUqIFt27bh5s2baNmyJQDA3d0dCoUC/VP+YbVo0QLDhg3Dxx9/DE9PT7Rr187kaf/w8HAoFArs27cv29czZcoUrFy5Eps3bzaMXu/bt8/kfvfv349GjRpBo9HA19cX48aNQ1JSkmF9ixYt8NFHH2Hs2LEoUaIEfHx8CmV6XgaxVGQlJgLDhqVUHwAwdSrw6eDHMnVA/wdSochbeau8BrHPnslAdc8emVur16CB/Hn2bO77QkRUWJycMr/16GHc1ts787bt2xu3LVcuYxszOH/+PI4cOWIYtZw+fTpWrVqFxYsX48KFCxgxYgT69OmD/fv3AwDu3buHl19+GRqNBnv27MHJkyfx7rvvGgK27777DnPmzMHs2bNx7tw5tGvXDl26dMHVq1eNnnfixIkYPXo0zpw5g8qVK+PNN9807GPo0KFISEjAgQMH8N9//2HmzJlwcnKCv78/fv/9dwBAcHAwQkND8d133xn2uXLlSqjVahw+fBiLFy/O0evP6vWMHj0avXr1QlBQEEJDQxEaGoomTZqY3EeHDh3QsGFDnD17FosWLcJPP/2EL7/80qjdypUr4ejoiGPHjmHWrFmYOnWq4ctDgRHFSEREhAAgIiIiLN0VKmCPHwvRsqUQcnhTiAULhBB37wpRrZpc0L17/p4gOlqcWPGfcMNTUblyLrY7c0Y+f8mSRovXv/StEIBI6NA1f/0iIsqnuLg4cfHiRREXF5dxpf6Pqqlbhw7GbR0cMm/bvLlxW0/PjG3yoF+/fsLGxkY4OjoKjUYjAAilUinWr18v4uPjhYODgzhy5IjRNgMGDBBvvvmmEEKI8ePHi4CAAKHVak3u38/PT0ybNs1oWcOGDcWQIUOEEELcuHFDABA//vijYf2FCxcEAHHp0iUhhBC1atUSU6ZMMbn/vXv3CgDi2bNnRsubN28u6tWrZ7RM/1ynT582LHv27JkAIPbu3Zuj19OvXz/RtWvXLPc7YcIEUaVKFaHT6Qxtvv/+e+Hk5CSSk5MN/WvWrFmG38snn3xi8nmFyPp9ltN4jTmxVOT88w/wxhvArVvyy/zPPwNda98AXm4NXL8OlC4NzJiRvydxdIRNnZoIB2Cfm5FYfT0uV1fDot9+AxYcrIseAKJuh8Mjfz0jIio40dGZr7OxMX786FHmbZXpTgTfvJnnLqXXsmVLLFq0CDExMZg7dy5UKhV69OiBCxcuIDY2Fm3atDFqr9VqUa9ePQDAmTNn8NJLL8HW1jbDfiMjI3H//n00TalOo9e0aVOcTXcWrXbt2ob7vr6+AIBHjx6hatWq+Oijj/DBBx9gx44daN26NXr06GHUPjP169fP2S8gjaxeT05dunQJjRs3hiLNWcumTZsiOjoad+/eRZmUuurpX4Ovry8eZfUeMAMGsVRkJCfLSbcmTQKSkoAKFWTVqhqP9gINe8qZtsqXB3bvlqeu8kk/7Wyu6sSmTHQgnF2QlCivKRs6FAhHY7ggAt8Md8F7+e4ZEVEBcXS0fNtsd+WIihUrAgCWLVuGOnXq4KeffjJcbf/nn3+iVEpKmJ5GIyetMdc09mmDRn3wp0u5DuK9995Du3bt8Oeff2LHjh2YPn065syZgw8//DDb15WWMuWLgEgzGVRiYqJRG3O9npxIHygrFArDay4ozImlIuHMGaBxY2DcOBnAvv46cPIkUOPQEqBNGxnA1q8PHDxolgAWALy2/IQFGIpKMaeR489pSsR74KwLXF2BF16QBQkSoUYUXPDggVm6RkREkIHehAkTMGnSJFSvXh0ajQa3b99GxYoVjW7+/v4A5GjiwYMHMwSDAODi4gI/Pz8cPnzYaPnhw4dRvXr1XPXL398fgwcPxoYNGzBq1Cj88MMPAGDI3U1OTs52H14plWxCQ0MNy9LXds3q9eifL7vnqlatGo4ePWoULB8+fBjOzs4oXbp0tv0sSAxiyao9eQJ8+KG8Lur4cTkJ1o8/Ar/8ArjqngGffiqHaN9+Wwawfn5me27Hbb9hKBaiHk5neYbNSEoQ+yTJFXFxwN278qxaUJBc/TwFsVFRshTZggWW7gkRUd717NkTNjY2WLJkCUaPHo0RI0Zg5cqVuHbtGk6dOoX58+dj5cqVAIBhw4YhMjISb7zxBk6cOIGrV69i9erVCA4OBgCMGTMGM2fOxLp16xAcHIxx48bhzJkzGD58eI778/HHH+Pvv//GjRs3cOrUKezduxfVqlUDAJQtWxYKhQJbt27F48ePEZ3FPxd7e3u8+OKLmDFjBi5duoT9+/dj0qRJRm2yez3lypXDuXPnEBwcjLCwMJPB7pAhQ3Dnzh18+OGHuHz5MjZv3ozJkydj5MiRhtFgS2EQS1YpIkLWfa1YUQZZycnAa68Bly4BA94VsuCAu7usAvDll8DKlYCZT6so/fNQoSApCUlqe0TCBS++CKxaJWcQ69gRaIft+GBdCyAXfwwL0t9/Azt3AvPmWbonRER5p1KpMGzYMMyaNQvjx4/Hp59+iunTp6NatWoICgrCn3/+iYCAAACAh4cH9uzZg+joaDRv3hz169fHDz/8YDhV/tFHH2HkyJEYNWoUatWqhe3bt2PLli2oVKlSjvuTnJyMoUOHGp6/cuXKWLhwIQCgVKlS+PzzzzFu3DiULFkSw4YNy3Jfy5YtQ1JSEurXr4+PP/44Q8WA7F7PwIEDUaVKFTRo0ABeXl4ZRpn1fdq2bRv+/fdf1KlTB4MHD8aAAQMyBMyWoBBpx4eLuMjISLi6uiIiIgIu+nnryaoIAXzzjSzvmpJeitq15bJWNR8CY8bIRqtXF3xnPvsM+OILLMb7aHFpMapWzdlms2cDY8fo8FZvJX7+WS5bvx74uecmbEJ3oG5d4PTpAut2TqW8PLi7A0+fWro3RFRY4uPjcePGDQQEBMDOzs7S3aEiKqv3WU7jNY7EktWIjQXefBMYPVoGsNWry1j11CmgFXYDderIBb/+mhrhFqQ81op98gQQUMIjTRkCHx/gDOrKBxcuAFqt+fqZR//9J38+eybzjImIiJ4nDGLpuXf5MjBtmhygXLcOUKmAhQuB/9ZdRJ+TI2BTvy7QujXw8CFQowawf79Mji1o+QhiAcDTM3WZjw9wC2URDlc5S8OlS2bsaN6cO5d6nyOxRET0vGGJLXruJCXJi7T+/lueZr9wIXWdpyewYQPwknY3UC/IeIhw4EDg228BB4fC6WiaIPZOToPYiRMxaMtZXMMIeHi0MiyW01QrcAZ10QL7ZTpBnTpm73JORUfLkrp6YWFy8h0iIqLnBYNYsrjERHnq+sABWcJ1/34YjWza2sqB1tdeA7p3lzmaSGgGBAQAVasCffoAzZsDJUsWbsdTgtiSeITop1oA6uy3OXoUDR7uhRf6GKUTODnJMon/xdSSQezlywXT5xxK+8UBkEEsERHR84RBLBWqxEQgOBg4e1aOtv77rxx0jI83bleiBNCyJdClC9C5fRLcD/0BbN0KvL0YgC2g0cipuUqUsMjrAAB4eeHj1uexYlcpfBWbw9lQUkpsRcLFKIgF5Gjs1WspV7imm4e7sKVNJQBSUyCIqPgoRtd9kwWY4/3FIJYKRFwccO0acOWKjMcuXZKB68WLpq9ZcnMDXnwReOUVoFUroG7lWCj37paB67g/AH0x55o1gREj5H1LBrAAoFAgvFQNRACIymmd2JQLziLhYpQTC6QGsbElSsHB3d2sXc0t/UVdehyJLUKiouT0oIWVdkNWR19+KTY2tlBnfKLiJTY2FkDGmb5yg0Es5ZoQ8or1e/eA+/dTf969C4SEyKD1zh3ZzhRnZ1kWq359oFEjeatYEbK269WrMkjdvdt4eNbTE3jvPaBHj0J5jTmln3o2pxd2ichIKABEwNXkSOzvaI9ln99FNqUBc00I+QWiShV5YVx29COx9vbyC0l+glgh5PvCcIwpX379Vc7h8cILQIcOQK9e8sSESadPy6siAwLkF8C//wZ+/13WT9bP/379OpCQAKQUWyeysbGBm5ubYd57BwcHw9SpRPklhEBsbCwePXoENzc32NjY5HlfDGIJgAw0IiLkaeOwsNTb48dyEPTevdRg9f79jKf/TXFzAypXBipVksFT7dpA7VoC5dT3obh6RdbG2noCiGoOVBosN9JogD//lPfLlAE6dwY6dZK5BZn+p7acwPsbUQ07YXuuPYDO2W+QZiTWVBALFMysXePHAzNnArNmyVK6WREidSS2aVNg166MQexff8lAatUqWeosK9OmybY//ggMGJD310By0rk+fWRazpUrwNq18rZ1q4kvCCEhQLt28kOcXtrC7N9/D8ydCyxfDvTrV6D9J+vhk/IHSR/IEpmbm5ub4X2WVwxii4jkZJluGRkp46SICOP7ph5HRMjSSWFhMnjNbS1QDw85i2upUoCfr0Al9zBUKBWP8mWTEVBJBfdapeU/ViFkFPXNUeDkSSAmxnhHcXHA4JQg1t9fVhho1UqWy3rOv/1XuH8QjbEIO+84IdsgNiEBioQEAIBW45LhbG5BBbFHjsjgFQC2bcs+iA0Nle8LpRJ46SXTQeyiRfJQLloEzJ+f+b7i4+XhBGR5tKyC2EeP5ICgWl341+hZg2vX5IWNiYkyV7xmTWDOHHlMN2xId5JCq5XTwD1+jHtedbD18YuohXM4j5q41/F9THD1huEr4YMH8jP6wQfytIi5R2TPnJFvoiZN5I2sgkKhgK+vL7y9vU1ORUqUH7a2tvkagdVjEFsIhJD/nOPj5S3t/bQ3/fKYGBlghofLW0SELHkUEyNvsbGp9/W3nIyMpqVEMnzwADFwRATc9D1FWYcwvOASgkr2d1HCMQHujlqUcE6Eh7MWtgGlgO6vws8P8HOLhV2rpjLSuasFDt4wDk47dpTDQ4AMROfPlx0HZD5euXKyhFSDBkCzZqnbKRTPzbSrOaG1dwUA2GpzkBQbHY1kjT1sEuKg9sxYx1YfxAbt/QTw/x/w+efAu+/mq39xccA776Smdpw4Ib/wZPW3Q59KULkyULq0vJ8+iL1yRf48eDDr5//tt9SLwg4elO9TUxMAjR0LfP116uN584APP8x63zmxcaMcBda/Nd9+G5g0SQbKcXHy96BOV1TiwAGgb19gyBDZr+eBEMBbb8nfZYMGwC+/yJRWGxs5q9qIEUBQkKxwAUC+qGnTEDrwM9R/vB0P4YOgIDmNcPKfwKEO8uNpbw85QcijRzLQfP114Ngx80zRfPCg/CzrZ5+bPz81iH32TD4HZ4N67tnY2Jgl2CAqEMLKLFiwQJQtW1ZoNBrRqFEjcezYsRxvGxERIQCIiIiIAuyhFBoqhKurEBqNEPJfUO5uNkgUrngm3PBUlECYKIEwo/VB2Ca6YJPoiXWiN1aLd/CTGIyFYqTNt+Idl/WiUiUh6tcXon3zGBHi9oK45V5b3C9RQzzyqCrC3cuJJBtbIQARXjVQnDkjxJ07QsTG6IRQqTLvVKtWxi/S0zNjG7VaCHt7Idq3N247bpwQP/4oxPnzQmi1Bf77Lyx7gmYIAYgDld7JUfu//hLCFgmiTp2M6/74Q/4K13kNlXfGjct3/z79VO7K11cIR0d5/7//st7m669lu549hdi8Wd5v1Ch1fWJi6ttEoRAiPDzzfb34ovHbY88e0+1Kl5br9fstWVKIuLjcv960btwQwtk541u0bl0hXn1VfjYdHYWYPl2I+Hi5zX//yc8tINffvZu/PpjL+vWyT46Oxn2KiRGibFm5bvqQ20KcPGlYd/iw/DsCyO2FEGL79tTfSbduQiQlpTQODRU6b28hAJHU8/U0K/JozRohbOXfGGFrK8RLLxl/7t95R67z9haieXPZWSGEKIS/zYXl0SMh5s0TYskSIbZulY/TS0wU4ulTIXS6wu8f5cDu3UKMHi3EqVNCJCcbr/vnHyE6dRKiSRMhOnYUYsOG/H9uyCCn8ZpVBbFr164VarVaLFu2TFy4cEEMHDhQuLm5iYcPH+Zo+8IMYsPChLBHjFiCgWIF+oq16CU2oqvYhiCxV9lSHLNpLOY6ThTlyglRtaoQgbVjRbSNs4hQuYtolUuG/7xX674mli0TYt06GewkK20yDzZbtzbuTIkSptsplfK/eVqenkL4+wvRrJkQbdrID2f37kL06iXEF18Ytz10SEZlf/8txOXLqZFAMbK7y1whAHGk3Js5av/zz/JX/8orGdcdPy7Xfeb6rbzTo0e++9ewodzV8uVCtGgh7//4Y9bbvPeebPfNRzdE8JT/CUdEiQoVUtdfvWr8Ntq2LWXF2bNCTJggRI0aQjRsKP7bFGKIYdq0EaIcrov1nZYLceuW0fPduZP6dnz6NDWg/eGH3L/epCT5vyYpSYiXX5b7adJE/r9ZvVoIDw/TH4VSpeSvu1Sp1OAcEOKDD3LfB3NLTBSiSpWU98ZnGddv3CjXbUYXoVMqhfj+e6HVClGrllz+TrrvV3v3pn65HjBAxpaJiUJ81WqXSIAMPJ906Wf8TzsqSv4MC5O/zJ9/ltH/n38KERub2m7xYiGqVUv9xfboIcTjxxk73aFDxr9Fr70mI+wzZ1LbWWl09/vvQnh5ZXyJrVoJMWiQ/DxUqJD6pc3dXcb5X30lxM2blu59EZaYKN9f+/YZv29NWbJEHrS0B/Gvv1LXL1yY8Q+Jn5/8fzl5shAPHhToSynqchqvKYSwnkJwgYGBaNiwIRYsWAAA0Ol08Pf3x4cffohx48Zlu31kZCRcXV0REREBlwKeljQ5GbhxPgYV6zpl3qhHDzklFSA/Ara2ckNT2reXyW96TZvKbdRqedNoUu/Xri1zUPX053FtbOSl6ba2MpE1pVi/0bllrTbj+VXK1O6ei9Fq/Qf4t3R3NLqzIdv28+bJM6w9e8qrzNO6e1emBHdW/oktuk4y3eLMmXz1r2RJeab45AmBX39TYOZMObHZ0qWZb9OihZxw4li/hWi0cijOojbauPyLRxEyi3LbNpktojdzyC2MffKJTHpN43i5nmh081e83TMe3x4NRIm7KXkKnp5yJw0bApApB716yWmFT5+WeZ6jR8uLAS9elBkrmUlOlhfcr1ol0yCuXZPt/f1loQsnJ1narXx52f7BA2DKFDkr8ZtvAufPA598klrBDZApoV99JfNPbW1lXeOAgJz9vgvCTz/JwhweHrKQQPo/XUIAc5tvwsiD3ZEIFR78dQbTt9TAokWyCl1wMDKUc9uwQU4eIoRMPff3B7ZvB17F71iH1xEPO2yZdBxvfVFN5jN5eMhchZQ6x0YGD5bJ0YDM1Zg2Td4fNUomY5s6gPoSJ7duyaTpVatS140YAXzzjbzftatMPXr7bfnTw8MyefJ378rPYpMmWZb2e/oU+OgjYM0a+bhaNaBCBXncLl7M2L4eTqE31uAwmmITukFACRUSMaLGDnSudQt1S4fBSRkLRXKSPPAeHkDjxrI0xXNIp5Ozfz96oIOLqwIengo4OyP12ojz5+UVwl5egK+vvBXG8UxIkP9D//lH5hEBMp3lpZeAypUh3ngTiqYpqS5arfxjlDL1d0KNF2B7+RyUyUm4X74p5r56CFotUPbxCZQKO4s4O3f4PzqBF88thWNcakHtlV/dA/z84OAAlLp1BLa6BETUfglQqaBQIE83pTL1PpKS4HDpBFThT6CMi4EyMQFCIRsIhRKJHj6IbtACAKBI1MJn2VdQhT+GMj4OiqRE6GzVEBp7xJWritjqDRFTMxBAauqZKR4eqX9LC1pO4zWryYnVarU4efIkxqcJzpRKJVq3bo2jR4+a3CYhIQEJKRfSAPKXUlhsbICKNe1kwppGI292dqn3NRr5n0NPoZCJhomJ8p3q5ib/aOkDzPR1kQ4fznlnXnop520ZwOaK0MicPlVSQjYtARw5gnYLpmMKXsBDz88zrNZP63pZl3LleEiI/IuSxz/ycXEygO2AP1Fr6HTcG/YnAFccO5bFRomJuHJF1uzzKO8KnXsJ1Hl2DiMjJyMxcQZsY8Jx5YobABngrUx8E28uXCu3VShk0NG1K6J+34EOf30PAHh/uB0cQ+yRdNcGYfCET9hDWW1iwQKgc2ccPSrLNDRuDOCbb/B+i474wrUKgoNl3maXLqa7eumSLDF182bGdfq5IubONf6j6+MDLF6c+rhePeDVV4FDh+QsZQ8eyC8ZpUoBbdrIHNKpU+WF+4XhxAmZ++rnJ+Ol4ODU764TJ6YLYHftAmbNgiI0FCNu3AAAfI0xmNShhuEf0Zw5GQNYQL7mdetk3u+FC/KmVgNdlvbA3PlrsOlkaRz5shpC3YBRDc+mXjkKIMa9FO7ZV8TdJF+8EH8YyqbtYejWwIGy2LOHR9bTJisUMhgsUQJYuRLo3h1i6Q9Q9H5L/gIA2aktW+T9efPkT1tbeRB9fOS3EH3N6PzQ6eQbxs5Ofgj1+cDx8TIJ+fff5aBAbCyErS1uV3gF1zwaYXP9qahSRb6VdTrg4AGBmVMTcP+BAiqFCqM/scGUKalFVa5flznaERHyPRl4Yy2qznwHioR4DCu9CSsndcfadcChvcD0C11gc0FnsrtPKzbEwy3/okKFlD/XDRoAJUsiyUaDxPPB0MXFI7R1Xzx74wPUauWdbdqxEPKai6Qk+TqEkD8jI+Xn4cEDGZjq7z9+LN8OaQOr8HDg9m3A4/YpfJI0DV2xGd9jKD7Gd7C1BUq7x2Dvszoom3jN6LnjVE6IdvbF3u7zEdWkHZycAO97p1Hrx+F4FBCIe/4v4pZPIB6pSyM2FkY3Ozv5b1J/02gA25tXUf6f/8H97jkkJwOLWv2ecg2JBrNOPEH5uDhEK10Qq3SEd1wosGMHsGMHflvwEK+jCWxsgKaKE9ifJAPYKZiMzy9Mhh/uIxDHcPD6Swibre99g5QbALwKDT5DMxxCLfyHSriKoRN8Da9zG75Ae2zHY3hiL1oiAq54Ag9sQwccQjMIpH7Rs4UWLoiECyLhgweogmCUx3W4IBIn0AA/4+2Udjpo0TjT47oTrdEWLQx7jcVM2MP0xTP/IBCN8Y/h8VZ0RARccQov4BxqIw72uA8/NOlTAatXZ/VusoBCGRc2g3v37gkA4siRI0bLx4wZIxqlTdhLY/LkyQJAhlthpBNQ8bDz3f8JAYizXibyA9JbvVoIQOxAazFpkukmHh4yZ1anP411/36e+3b5shB2iBX3FH5CACI+8CVhjxihVKaeHTai04nExs3EMvQXJREqnj4VImnDJpknCaWIfbW3EN7eYky/hwKQZ39XoY8QgEhu8YoQp08bdtWrl+x+hw4pC86fFw3KPxFOiBQP67ZJPf2mUIj29eX+/vzipGH5oxKVxSr0ER9U3ZPxjHJMjBDBwaJbl2QByGyZESNkVsuNG0JcuSLT07Zsyd/Z6KNHU9O8o6Pzvp+cSkwUonZt0+kOzZoJEReVmNr49OkMjeLLVBJu6hgByBQlfR5sVp48kSkT1aoJsXOnXKbTybQF/a4//liIPWsfilWfnBdlPKLTPa1OONgli9GjM+ZGR0bKFN3sUuDDwoR4910h7OyEmDMnzYrkZHlQu3QxnQfy0UepbSMihOjXTx78nEpOFuLXX2X6i36f8+alrt+1y+j5krxKGu6fRD3DKkdEiWsIEHFIvQAi2UYlRGCgEGPGCHH7duo+ExPlL7pfv9R9N24sxMyZhiZ37ghxvUqQ2OPaVSzBIDEHI8QsjBaLMUhsRQcxEV8IQAgbGyEaBTzKNK0sDhoxVv2NePVV+Xvdvl2meK5cKcQnn8jUBh+frC+DyMmtFO6Ij/CtOIimRiu+sRlteFgZl4UARCzsxFnUEnfhJxKRmhKnf02AEH2xIsOTPIaHuIYAcRmVRX0cN6xqiGNiIQaLD/C9+B4fGO0zFnZCiSRD2xdxRFTFRaFAsgB0ogb+E4OxUEzDeDEPwwSgE4AQTogUnbBFtMRuAQjh4CAz7OrVk5kCI0bIrKnx4+XvcexYeZhHjZKflfffF+Ltt2UmTfv2QjR/WSfWe70vntmYTuv7y7mnqFpVpgxVqiREvCLzC2mOal4WpUvLrIVSpYQ4Z1tPnLGtL46qXxZ7NW3FPk0bcUDTShzUvCK+dxorSpcWhtt3LhPFXJdPxQzXr8QXrl+LGa5fifnO48VOu07iO5dJokwZIcqUEaKsf7LJ517jNEh8/HHOP175VeTSCe7fv49SpUrhyJEjaNw49dvH2LFjsX//fhwzMbxkaiTW39+/UNIJqHhY9X0UJg8LQ9O2Tvj5b6+sGy9cCAwdivXogbtz1+PjjzM2qVlTDkDF+JSHw4Mb8lL53Iyk6337LU5FVkT9yZ3Qo/xprA9rAURG4mfHQXg7Zgn27QOaN0+3zaZNQPfuiIEDAkuE4PwTOZLwq93b6JXws6HZ3KpLMPLyICxfDswY8wSPw4DNBz0MRSaOH5eVmhQKeQa2dm25/IMP5CjoiKFafOP+BbBxI3SJSbC/eRlaLXBr2wWUWTQe+OMPo25dbzsY5ReNSR1SvXoVompVXNJVwRyMwpj/+qFqTfOfVBJCphHcuiVLF3foYOYniI6WQ8X//gssWoR5G0pj+HDA3V2ekT95Up5t7VtmHypu+w6Kx4/lkLFer15yRLJLF1mqoEYNnLjqirt3ZWnlnExqkZUpU2SBjPQqVZLlm8uXB5Ytk+WeAXmG+L335AhZcLAcdYyLk6fTp04F3ngjY2bB9u0yUyBt9YtVq+SyDLRaORQYGipPMZQtm/rm0ufp2NjIOm6jRxvXwk1Lp5P5FJ9/Lk9vA3IYTwiZu9Gnj1z244/A++8Djo64P+JrvPjTQDjdu4zXXHehckNXnKvXD6dOAYcPCTxJcIQD4kw/X+3aMk/m9GmZQnbrVuq6sWNl7komV//Hx8sTMpcvp96Cg+XP6GhAjQQE4hhq4ALU0OKhW1VULPEUbzyYi5qxx/E61uJXvA5AVqTRIedVBhwd5durZMnUwe+SJeVgtUoFCJ1A+2/bovSlXYZthFIJ8fqbUI4dDVSsiFilE548ASLP3YTy1AmE1glCjMIJcXFAbLgWicHXobt9FxdRHSGxfoiNBZwj7+HFyB2oHXcM1aOPoWzkf7ARqWl261//DTfqv4b4eKDOrjnocmC0Ub//82uH4IB2eOpXCw+qtoC9swoODvL1ODrC5H394HtysrwlJclRbg8PMxbQSEqSeVrnzsmh5KtX5d/cunWBfftS23l7y+FuBwd5GqVKFTlTjLu7PAjmKNuSFZ1OfghDQ+WpocuXZd/feMP0H4QCkuP0z0IJqc0gISFB2NjYiI0bNxot79u3r+jSpUuO9lGYF3ZR8bAiZdAgfTEGk6ZPFwIQy9BfrFplukmrVnJ/15v0lld6HDiQ+05FRsphLUA0wL9yNHT3bsM36kAcTTvwI4WFGa5q+hITRJMmqasaVXoqLqCaiPMqLcS2bcLfX+7qyBE52gAI8cYbcoBp8eLUga2+fY2fQn+FfbVqqcv+2SNHDr280oyaPn4sxLZt4ni9gYY+61xcUjfS6cS1Ui+ljhKkfyIzev99+RQffmjmHa9cKUswpLyGBxfChEvK9Zxrp1wS4uFD+Qv58kvjEZG0I43pr5YuAKtXyyoVlSvL29KlcjBRT6eT13bpLzxLf9MXKACE6N/feN8PHgjh5ibX1aghDyMgRwb1o8KmxMfLUfbFi+UA5vHjQohz54wvFlMo5JWMTZrIITQhR51PnRIivFKD1PeVq6uI+WSKuHfhmbh6RSfOn0sWMTFpXl90jFi6UCvs7eUmVatmuC5RXhj3zwl5GiA8XN6uXZO/vMaNhdBX0Hn8WI4oe3gIMXCgEPv35/m46HSySsXu3fJ27px8fWkb6PbtFydP6MTUqfJzut71XXHMvrn4oNEJMWiQPJbHj8v9xMTI45qUlMXZi+PH5fBjWq+9Jn/XzZoJ8e23chjZ3KKj5cVYR47IC7LSXih45Iis4tKxoxCdO8v11iQ+3vhCRiHk+yfth6yYKpLVCRo1aiSGDRtmeJycnCxKlSolpk+fnqPtGcSSuemrDbRpk4PGKfWu5mNo6hX96fTuLfc3a1Y+OrVmjeGUPKBLvcK+f38hAHEKdcVr3dJFIl27CgGIMI/KwhFRRgFHs2ayVNP633QiJiY1TggLE2LBAtPBi5NTxqusnz2Tp0CB1HWzZ8vHpr6HRkQI0d1llwhGJZGo0hj+u0ZFCeHvEi7GYGZq2sW6dfn4hWVOf+V/pUr531dSkhBr1wpxa1yaq5orVhSJX0wXbVrLU5mN6icJXc2aMjAoX944Ajx/Pv+dKCAJCfJi7fffl1ffjxkjixhERsqiJvrDlDbF4a235LJ69eT2ycnyyxAgixSkyU4RQsj/9wsXplavSBuvjhqVcrH5/v0ZKh/EeJcVXbqkvvf2orkIh4uYjMnCFc8yvHdVKllSrnVr4+C8VSvThRaylD4iPH68cHJTTNG/nxQK+a27Vy/5vlq0yDjl4fRp+WI7dhRi/nwhli1LLW0CyKhZ78oVIe7dK/SXQkVfkQxi165dKzQajVixYoW4ePGiGDRokHBzcxMPcljKgkEsmdvmBbfFDIwVPwVMzb7xqFFCAGImxojMyhtPmCD/TwwZko9OpQSkG2tOEkCadLtHj4TW2V32we2r1PZz58onVavFpI6nBCDEtGkZdicWL5ZVtACZhyqEDBxmzZK5YhUrCtG0qRw8DAkx3bVmzeT2S5bIx/qR3My+h373nRCATvj66AwVcRYtkttUqCCEbuIk+cDdPfOirklJcqMaNWRCm8mEYNMiIlJzBq9dy/FmJvfTsaMQvbBWJEPW73r0zhgRG55g+B04OgpxfusNWeA5bUSl/2VZMf372tNTjsDqayIrlSkjqSni44Vo2VKu8/UV4sIFOSi9ZIkwnAEAZE5g164yFtMvK1NGvvcuXhQiZOslcaz/QvFx6V9FPZw0tPHxEaJ11TuibuUY/ckKAcgA18kptUZw2ptaLXNKC2Hgu2Ddvi1Enz6mv3WmTdJPX0Mv7beFt98W4vp1y70GKjaKZBArhBDz588XZcqUEWq1WjRq1Ej8888/Od6WQSyZ265Z8mKkh+pS2TcePFgIQEzG5EyDvB9/lP8v2rVLWZCQkLsORUTI/7qA6FvvnDw9vTZ1dcy3S4QAxPtYJMLCROpQKCDE3LkiMFDe/e231G0GDJDLvvxSLgfkJAZ58cUXcvvu3WXAklJfP9OzgAkJqcX8v/1WBs36YGbuXCHP5TZIOT3cvHnG39fBg3J2A/1r9PcXRueLc0Bfb3bhwjy8YCEnPqleXYge+M1Qh3UBhgj9hST6QGnXrjQb3b0rR8BOnMjbkz5n4uNTL1pLW3pz+PCMbZ89E6JmTdNxlJ+fHBxMOxHGli0y4DXVHpCB6ciRMrhNKzlZjhSnvfBMp5NZAb/8IsSqVfK6siI30HjihPwlzpsnzw61bGmcL6PTCfHTT/LbaYsWcqj8yy8z5lEQFaAiG8TmB4NYMrfd8y8IAYhnKo9s2yb2kafzR2OWePbMdJu9e+U/3iYB92X05uCQuyGglAoIompV4V9aBklHj6ZZr9OJwT4bBaCTeYfXrsn/8uPHC5GcLNzlQK1RmtYnn8hlH38sR2iBvKeh6id0cHZOHQD29c16nowlS1JH0SZOTI1FDbXKL1+Ww2hNmwrDL/bGjdTcDEAmX376qcg0jyMLX32VecpDTnz0kdy+qfcVkejkKsLa9xZBbZIMM6ipVDJtoag7c8aQqi0UCnm6PjLSdNs7d4SoUyf18JUunfolxpTYWBl0Nmsm3wolSsiz519+mfWMckT0fGIQawKDWDK3PT+ECAGIaKVTtm3v3BFCBa2wUyZkevHErVvyn7adKlHo9FfF5GYEpFMnIQCRNPEzkVmVLn35qxkzUhakJPqFhaUGDWnT9vTT0Pbpk1oZ6Msvc96ltJKTU2crThkwznaEMyFBnipOO7q2Zk26RidOpA7PpS0/pVDIi2hMzfl5/nyOviCcOpV6ul8fIx86JE9nZxd8JoZHG67f2rpVyBzClIOv08ljk48qalbn3j35K8jJCQadTh4eK520i4jyIafxWhZz4RBRdhT2sv6KWme6iHRaT54ASbCFi6c60/kLSpWS9dzjk1RIKlNBLgwOzllnkpPlbDgAHrzcCzqdLBNTsqRxM/1kP/rSSPpq+FeuyIelS8uyMzBejcePZXUYAKhcOWddSk+pBNq1k/e1WjkJ04ABWW+jVgMTJqQ+DgyUde6N1K+fWgundm1Zfql1a1m+aulSWf8pralTZTF+/UxTWahTR/YzJkZOgLB+vfy5ebOc1ev99+W6DP74A8kBFVD74Q54eABt20KWfUo5+ApF6qRFxYWfn/wV5GROlbQzFBERmcIgligf9EGsLZIynzI4xZOUGQk9PDJvY2MjAyYACC+ZEinqo8t0tm6V+/LwkGUE16y1kZHp5csI0dQAIGO59LU5MwSxMH6a9OU19f09cECWulSrgRdfzPw1ZCcoKPX+lCk5C2jeeUfWG7WxkaVVswxslEo5x+fOnXI2I1NKlJDH68MPZbD71VfAoEGy5uqyZRl2t2mT/D2cOCGnDI6LA6pXl/1YulQGs0KkbHDtmpyXt0sXaJ49xGjMxmuvyS8nRERkPgxiifJBaa9JfZCQ9dSzft+Owc/ojUZ257JsVyFlADbUuYq8k8lI7O+/y7nanz6VcdNs/XSIVaoYpmItWzbjdvXqyZ8hIXIKTD39VK3pR1n1I7H6KcdHjzaeMTm3OnSQo8MvvphaVz47arWcafncuZTpabPj4JD1+iFD5PSmQgC7d8s5XX/4QU60cPx4huZ16gB796YO6HbtKr8E7NwpC6Xv3ClnT8Xq1bLxtm0Qtrb4Vj0WXbE548gxERHlm/mnuSEqRpQOaaZziY/PMnjyPrENvXERlx3ey3Kf+ompQpSVURvIdCT22e0o9MEmvPBmVfzzy3Xs/a8N4uNLwM4udVIgU0GspydQpoyc6/zMmdSZuy5ckD/Tj8Tqg1hABq9pT+3nRYkS8rmBTCcqMqlkyYypEXmmVAJr1gBffil/Xrokvz04OaXmOwAp0yKpAbUataom4tRfT3H6aDyC+nrDVmOPVq3kaPKcTx6i7nsdgOSU4e3mzbG75xKMGFYFpUrlbdI1IiLKGoNYonywtVehNs7Cs5Qd9ri6ZtlWGR8LANC4Zz1KqA9izyVUwatApiOxr52ZhD6YB/wiH4cnu+LSvmDUCyqZZRALyJSC27flaGLz5kBiIrBnj1ynnz5WL2066TffGOfL5lVOUggKRUAAMGmS6XVarcwT2LVLdlirRWkApQHgQ8gUhPHjMXIkcO7HW6h79RSSocSddybjn1YTMWK0jNBNTbdKRET5xyCWKB9UKuA/1EZpBZDdtOQ2CTKIVbvlLIg98rSqPHderZo87Z02EVSnQ6tnv8m7dvZQxsdhO4IQfrMk6iHrkVhABrGbNqXmxR45AkRGylHX9Gmkbm7ArFlyoLlHj6xfY5Fy4YK8MAyQAS0gj4GtrXz8/ffAqFFQqdUYszAAvdv+D+dETZxfXgtYLptXrgyMGGGZ7hMRFXUMYonyQZXyCUpKyr6trVZewq52z3ooU58Te/K2F/DkiMk2CQeOwVeEIgIuwI0H+GnKHYxbUg79Tsr1+iBWf5FYeukv7vrrL/kzKMj0Kf4xY7LsctFUrx4QGgo8eiQPtJ0d4O4uh1UjI+Ut5WqtOq298NHRN7F4MXB7gxzZnjhR5g9rNNk8DxER5QmDWKJ8UKmAj/AdykY8Bu4OlvWpTBEC6qScpRMEBMifT58C4eFyJDS9uDUboAHwt01H9Cxpj3JtKyNxibx6/u5deaEXkDG/Va9BAzmoePGi3GbbNrm8ffssu1b8ODiY/ibg6ipvaQQGytuSJTLOVfGvKxFRgWKmFlE+yCB2HkbGTQPu3Mm8YUIClJA1mOw9sg5inZ1T81Bv3IA8df3smVGbqy+9i8mYgj9LvguFQpZJBYDz54Eff5TZBy+/nHkN0pIlgbfflvffew/47z8Z1Ka9ponyRq1mAEtEVBgYxBLlg0oFJCDlfHFWJbZiYw13HTyzKf+E1LxYLJgvRwNHjjRaf01dDVMxGbcqtQYgqw14eMi0hjlzZJu+fbN+ji+/lGfIz56VjwMDs65hS0RE9DxhEEuUDyoVEI+UMlvxWcza5e6OxnXj4IEwOLllP0ynz4u9HV9SFuVPV6Hg/n35089P/lQoUi/Iio6WtUt79sz6Ofz9jWPjDh2y7RYREdFzg0EsUT7kOIhVKBAWbYen8ICLS/b71Y/EHn5WXd45dy71CvkpU+C551fYIxalSqVuo08pAGRlqJw8zyefAN7eMgju0iX79kRERM8LBrFE+ZA2nUDEZz1jV2Sk/JmT4LJJE/lz9l/VEe3oDcTEyDpYDx8Cn3+Ovn++DmdEGUZiAeMgNrtUAj0XFzkT1t69cqIpIiIia8Egligf0o7E6mKzGIm9fBnfhPXF5/gsR0Fs+/bAtGmAgBKbYtrIhTt2AH//DQAIdnoBj1DSKIht2lROOFW5MtC6dc5fQ8WKqbN2ERERWQteQ0uUD+mD2MzmO0i6fhu9datxBnXg4jI1R/ueMEFe6b5jTFv0wRoZxN64AQDYpZK1sNKmE5QsKUtm2dvnbjpXIiIia8SRWKJ8UKmATzATL+AkEjq/lmm7uCeyOkEsHODsnPP9DxoE7ETKSOzJk8DatQCA32NlEJt2JBaQF2t5euZ8/0RERNaKQSxRPtjaAldRGafxApJcM69PFf9EztYVr3TQT/KUIy4uQJKnL+bhQzzt2AcAoHN1wwFtIIDM68ASEREVdQxiifIh7Wn7rKaeTXgmR2K1qqynnDWlfHlgOObhoaMsWRD1YhskQ4USJWTqABERUXHEIJYoH5RKoKViH8ZhOpR7d2faThsug9gkdfYTHaRnmPjg6lUAwJ0aplMJiIiIihMGsUT51EHxF6ZjAmx3/ZVpm8RwmU6QpMl9EBsQIH8uaPw/4PZtnK3YA4DxRV1ERETFDasTEOVTolID6AARl3mJraQoORKrs8tbOgEAXL8OwN8fN5/KxxyJJSKi4owjsUT5lGgjS2yJLGbs+qf1p/DCI6yvnbPyWmnpg9iU6loZppwlIiIqjjgSS5RPWmX2086Gx2kQBi/YZF7AIFNpg1idLjWIZToBEREVZ1YxEnvz5k0MGDAAAQEBsLe3R4UKFTB58mRo9XPJE1mQfiQWWaQT6KeczU2NWL3SpWU9Wq1WBrBXrqQuJyIiKq6sYiT28uXL0Ol0WLJkCSpWrIjz589j4MCBiImJwezZsy3dPSrmElUpQWxCQqZtah9YgAW4BEVUHwCNc7V/lQooU0bmxO7dK2flUirlNLNERETFlVUEsUFBQQgKCjI8Ll++PIKDg7Fo0SIGsWRxyTYaeSch85HYyiF/oge244+4RshtEAvIlILr14EFC+TjJk2AEiXy0FkiIqIiwiqCWFMiIiJQIpv/4gkJCUhIMzoWqT+nS2RGRx1b4+Un+zFvuCfqZtLGJl5WJ1C55r46AZCaF/vvv/Jnx4552g0REVGRYRU5semFhIRg/vz5eP/997NsN336dLi6uhpu/v7+hdRDKk4i7EriIF5GlH/1TNuotLJOrNot93VigTQTHqTo1ClPuyEiIioyLBrEjhs3DgqFIsvb5cuXjba5d+8egoKC0LNnTwwcODDL/Y8fPx4RERGG2507dwry5VAxZWsrf2Y17axtohyJ1bjnP4gtUwaoUSNPuyEiIioyLJpOMGrUKPTv3z/LNuXT/Pe+f/8+WrZsiSZNmmDp0qXZ7l+j0UCj0eS3m0RZKikeoAXWw/sPe6DlAJNt1EkpQWyJvKUT6GftAuQorEKRp90QEREVGRYNYr28vODl5ZWjtvfu3UPLli1Rv359LF++HEqlVWZCUBFUSncHC/Ah4n4uA3xjOojVJMsg1q5E/kdimQ9LRESUxyA2KSkJ+/btw7Vr1/DWW2/B2dkZ9+/fh4uLC5ycnMzdR9y7dw8tWrRA2bJlMXv2bDx+/NiwzsfHx+zPR5QbybayxJZSm3l1AnudzIl19MpbEOvuDrRrBzx8CLRsmaddEBERFSm5DmJv3bqFoKAg3L59GwkJCWjTpg2cnZ0xc+ZMJCQkYPHixWbv5M6dOxESEoKQkBCUTlfhXQhh9ucjyg19EKtINF0nVgigouI67EQsjlTK2wwFCgWwfXueu0hERFTk5Pqc/PDhw9GgQQM8e/YM9vb2huXdu3fH7t27zdo5vf79+0MIYfJGZGk6W5l3bZNoeiQ2NhZ4IEriJgLg4mFbmF0jIiIqsnI9Envw4EEcOXIEarXaaHm5cuVw7949s3WMyFro1HIk1iYxQQ67prvqSl+eWKkEHPKWTUBERETp5DqI1el0SE5OzrD87t27cM7LxPBEVk4fxAIAtFogXUWMmFthmIfPEW/rBoXii0LuHRERUdGU63SCtm3b4ttvvzU8VigUiI6OxuTJk9GhQwdz9o3IKujTCQAA8RlTCuLvPMaHWID3EhcWYq+IiIiKtlyPxM6ZMwft2rVD9erVER8fj7feegtXr16Fp6cnfvnll4LoI9HzTa1GB/yJISPs0MlEvkDcE1leK0HJXAIiIiJzyXUQW7p0aZw9exZr167FuXPnEB0djQEDBqB3795GF3oRFRcqWwU2owM6VQRg4rqt+KcpQayKQSwREZG55KlOrEqlQp8+fczdFyKrlN20swlPZY3YRNu8zdZFREREGeU6iF21alWW6/v27ZvnzhBZI5UK6IV1qH7gGfBmDyDdLHTacDkSm6TmSCwREZG55DqIHT58uNHjxMRExMbGQq1Ww8HBgUEsFTsqFfAFPkG5328BY1/IEMQmRcogNlnDIJaIiMhccl2d4NmzZ0a36OhoBAcHo1mzZrywi4ollQqIR0qZrYSMs3YlRckgVmfPIJaIiMhcch3EmlKpUiXMmDEjwygtUXGgUgEJSCmzZaLE1qHSb6ISrmBnx+8KuWdERERFV54u7DK5I5UK9+/fN9fuiKyG0UisiSD2cbwzQuAMUaaQO0ZERFSE5TqI3bJli9FjIQRCQ0OxYMECNG3a1GwdI7IW2aUThIXJnyVKFGKniIiIirhcB7HdunUzeqxQKODl5YVXXnkFc+bMMVe/iKxGdukElc5vxEs4jjpP2wBoWbidIyIiKqJyHcTqdLqC6AeR1coqnUAIoN6Dv/AOfkDYXQcwiCUiIjIPs1zYRVScqVTAdIzHko6bgbZtjdY9ewaok+RkB66+nOyAiIjIXHI0Ejty5Mgc7/Cbb77Jc2eIrJFKBfyDxqjrDyDdxVu3bgEOkCW2bF04LTMREZG55CiIPX36dI52plAo8tUZImukSvkUmZp29vZtwA4pKQb2DGKJiIjMJUdB7N69ewu6H0RWy9YWqIvTaBh8HjhRDWjQwLDu1i2gNuLkAwaxREREZsOcWKJ8UqmAt/A/DDrYF/j1V6N1t28D9vog1s7OAr0jIiIqmvI02cGJEyfw66+/4vbt29BqtUbrNmzYYJaOEVkLlQqIzaTE1q1bTCcgIiIqCLkeiV27di2aNGmCS5cuYePGjUhMTMSFCxewZ88euLq6FkQfiZ5rWZXYun0b6I6N2DvnFBAYaIHeERERFU25DmK/+uorzJ07F3/88QfUajW+++47XL58Gb169UKZMpxXk4qfrGbsun0buIHycG1RD3BxsUDviIiIiqZcB7HXrl1Dx44dAQBqtRoxMTFQKBQYMWIEli5davYOEj3vMpuxKz4eePBA3i9b1gIdIyIiKsJyHcS6u7sjKioKAFCqVCmcP38eABAeHo7Y2Fjz9s6EhIQE1K1bFwqFAmfOnCnw5yPKTmbpBHfvyp9TbaeixOKvgIgIC/SOiIioaMpxEKsPVl9++WXs3LkTANCzZ08MHz4cAwcOxJtvvolWrVoVTC/TGDt2LPz8/Ar8eYhyKrN0glu3AEBgYuIUKCZNBArhSx4REVFxkeMgtnbt2ggMDEStWrXQs2dPAMDEiRMxcuRIPHz4ED169MBPP/1UYB0FgL/++gs7duzA7NmzC/R5iHJDpQIOoRm+qLoGmDDBsPz2bcAWiVBCyAWsTkBERGQ2OS6xtX//fixfvhzTp0/HtGnT0KNHD7z33nsYN25cQfbP4OHDhxg4cCA2bdoEBweHHG2TkJCAhDQjY5GRkQXVPSrGVCrgJgLwt0cAPn05dfmtW2lqxAIMYomIiMwoxyOxL730EpYtW4bQ0FDMnz8fN2/eRPPmzVG5cmXMnDkTD/RXsBQAIQT69++PwYMHo0Ga2ZCyM336dLi6uhpu/v7+BdZHKr4ym3bWaKIDhQJQqwu3Y0REREVYri/scnR0xDvvvIP9+/fjypUr6NmzJ77//nuUKVMGXbp0ydW+xo0bB4VCkeXt8uXLmD9/PqKiojB+/Phc7X/8+PGIiIgw3O7cuZOr7YlyQqUCPBCGZo83An/9ZVieYbYuhcJCPSQiIip6FEIIkZ8dxMTEYM2aNRg/fjzCw8ORnJyc420fP36MJ0+eZNmmfPny6NWrF/744w8o0gQBycnJsLGxQe/evbFy5cocPV9kZCRcXV0REREBF9bsJDPZuRP4vO0hHMJLQKVKwJUrAIDKlQGbq5dwCdWBEiWAbN7rRERElPN4LU/TzgLAgQMHsGzZMvz+++9QKpXo1asXBgwYkKt9eHl5wcvLK9t28+bNw5dffml4fP/+fbRr1w7r1q1DIGdBIgszqhObZhrmyEjATz8Sy3xYIiIis8pVEHv//n2sWLECK1asQEhICJo0aYJ58+ahV69ecHR0LKg+ZpgJzMnJCQBQoUIFlC5dusCelygnVCpAi5R81zRBbEICcBlVcfO34yhXRmeh3hERERVNOQ5i27dvj127dsHT0xN9+/bFu+++iypVqhRk34isglEQm6YahlYLxMEBon4DIMBCnSMiIiqichzE2traYv369ejUqRNsbGwKsk/ZKleuHPKZyktkNlmNxAKARmOBThERERVxOQ5it2zZUpD9ILJapoLY5GR5q4aLcF2yFahTEXj1VQv2koiIqGjJdYktIjKW4cIuIQyjsA1wAo5TPwGWLLFcB4mIiIogBrFE+aRSAZFwwccOS4EVK4yCWDvEyzusTkBERGRWDGKJ8kmOxNphuWog0K8foFQaUmPtWWKLiIioQDCIJconU9PO6kdinW0YxBIRERUEBrFE+aQPYptrdwJbtwLx8YYg1skmzbSzREREZDZ5nrGLiCRbW/lzQ1JnoHMCcOsWEhLkBB2OHIklIiIqEByJJcon/Uhs2jJbhpFYJYNYIiKigsAgliif9EFs2jJb+gu7VpX4GNizB+jf3xJdIyIiKrKYTkCUT1mNxD50qgC0rGCZjhERERVhHIklyqcMQWxCAqecJSIiKmAMYonyKauR2DbRG4GFC4GrVy3TOSIioiKKQSxRPtnYyJ+mgtg3Hs8Hhg4FTp60TOeIiIiKKAaxRPmkUMhAdgbGIXzaAqByZcOFXXZgnVgiIqKCwAu7iMxApQL+l9wb0/sAbv6pM3bZCZbYIiIiKggciSUyg/RTzxou7NLFyzsMYomIiMyKI7FEZqBSAdVwEbaHHwH2VZCQ4AsAUOs4EktERFQQOBJLZAYqFTALY+HftyWwfXuakVjmxBIRERUEBrFEZmBra7pOrG0y0wmIiIgKAoNYIjNQqYxLbOmrE/zUcSOweTPg52e5zhERERVBzIklMgOVCkhAyvRcaerE3qrYCuhiuX4REREVVRyJJTKD9COx+iBWrbZcn4iIiIoyBrFEZmAUxKbkxDogBo3PLQFWr7Zs54iIiIogBrFEZmBqJNYTYei0dTAwcKBlO0dERFQEWVUQ++effyIwMBD29vZwd3dHt27dLN0lIgAyiN2KTggeMBNo3x5aLWDPKWeJiIgKjNVc2PX7779j4MCB+Oqrr/DKK68gKSkJ58+ft3S3iADIIHYPWiGkeytUeRlI+A6wA8trERERFRSrCGKTkpIwfPhwfP311xgwYIBhefXq1S3YK6JUpqadNYzEMoglIiIyO6tIJzh16hTu3bsHpVKJevXqwdfXF+3bt892JDYhIQGRkZFGN6KCoFIBXngE58vHgatXGcQSEREVMKsIYq9fvw4AmDJlCiZNmoStW7fC3d0dLVq0wNOnTzPdbvr06XB1dTXc/P39C6vLVMyoVMBb+B9eGdcImDwZCQlMJyAiIipIFg1ix40bB4VCkeXt8uXL0Ol0AICJEyeiR48eqF+/PpYvXw6FQoHffvst0/2PHz8eERERhtudO3cK66VRMWNqxi5e2EVERFRwLJoTO2rUKPTv3z/LNuXLl0doaCgA4xxYjUaD8uXL4/bt25luq9FooNFozNJXoqzY2mYssXUUjXH60w2o18LVsp0jIiIqgiwaxHp5ecHLyyvbdvXr14dGo0FwcDCaNWsGAEhMTMTNmzdRtmzZgu4mUbZM1YkNhR8iXukOtLBo14iIiIokq6hO4OLigsGDB2Py5Mnw9/dH2bJl8fXXXwMAevbsaeHeEckgNgEpo/6cdpaIiKjAWUUQCwBff/01VCoV3n77bcTFxSEwMBB79uyBu7u7pbtGZHIkthbOwWfveUBTBahf37IdJCIiKmKsJoi1tbXF7NmzMXv2bEt3hSgDlQqI0QexCQnQaoHu2Ijyk6YAd95nEEtERGRmVlFii+h5p1IBV1AZR1t/CgwaxDqxREREBYxBLJEZqFRACCphf6upwMCBrBNLRERUwBjEEplB2mlnheC0s0RERAXNanJiiZ5nKhWgRgLcQq8j8ZwAUJ1BLBERUQFiEEtkBioVUBlXMGxhbeh+9QLwiDN2ERERFSCmExCZQfo6sQDTCYiIiAoSg1giM0hfJxYAvlGOAVatApo3t2DPiIiIiiamExCZga1tahCrSJRB7DG75sDbluwVERFR0cWRWCIzSDsSq0hOhhLJnHKWiIioADGIJTIDo5xYALZIRHv8BWzZAjx7ZsGeERERFU0MYonMwCgnFoAaWsyMGgJ07QpcuWLBnhERERVNzIklMgOVCkiELbZXH4ka9dRIWqOCk4iSK52cLNs5IiKiIogjsURmoFIBAkqsrjsHV96ZjjjYw0kXIVe6uFi2c0REREUQg1giM0g77WxCAmCHeNgiSS50dbVcx4iIiIoophMQmYE+iHWJvAvVzXh46fNjFQqmExARERUABrFEZqAPYmftbQD37Q/RCL/JBS4ugJInPIiIiMyN/12JzEAfxCYq5AisNx7JBcyHJSIiKhAciSUyA0NObEoQex9++LbuCnw8mh8xIiKigsCRWCIzsLWVP/UjseFww+GK/YDevS3YKyIioqKLQSyRGehHYrUKOWuXGlpoNFlsQERERPnCc51EZpAaxMqR2No4B/+HWuByRaBqVQv2jIiIqGjiSCyRGTg6yp/xOhnEvo3VGL6rM/Dtt5brFBERURHGkVgiM/DxkT83Kl5FQv16iD95Xi7gRAdEREQFwmpGYq9cuYKuXbvC09MTLi4uaNasGfbu3WvpbhEBAHx95c9pMSPwS+N5uIEAuYAltoiIiAqE1QSxnTp1QlJSEvbs2YOTJ0+iTp066NSpEx48eGDprhGhRInUvNjbtwFXRMgHHIklIiIqEFYRxIaFheHq1asYN24cateujUqVKmHGjBmIjY3F+fPnLd09IiiVMqXACVGICQlFKdyTKxjEEhERFQirCGI9PDxQpUoVrFq1CjExMUhKSsKSJUvg7e2N+vXrZ7pdQkICIiMjjW5EBcXXF1iED7Droh8a4x+5kEEsERFRgbCKC7sUCgV27dqFbt26wdnZGUqlEt7e3ti+fTvc3d0z3W769On4/PPPC7GnVJz5+ABaqI0XMoglIiIqEBYdiR03bhwUCkWWt8uXL0MIgaFDh8Lb2xsHDx7Ev//+i27duqFz584IDQ3NdP/jx49HRESE4Xbnzp1CfHVU3Pj6pgax51ALh1//Dqhc2cK9IiIiKposOhI7atQo9O/fP8s25cuXx549e7B161Y8e/YMLilXey9cuBA7d+7EypUrMW7cOJPbajQaaDhtEhWStEHsFnRB6aCP0NTXwp0iIiIqoiwaxHp5ecHLyyvbdrGxsQAApdJ44FipVEKn0xVI34hyy9cXiEoJYjntLBERUcGyigu7GjduDHd3d/Tr1w9nz57FlStXMGbMGNy4cQMdO3a0dPeIABjnxHbHRvhdP2ThHhERERVdVhHEenp6Yvv27YiOjsYrr7yCBg0a4NChQ9i8eTPq1Klj6e4RATBOJ6iEEDT9op2Fe0RERFR0WUV1AgBo0KAB/v77b0t3gyhTvr7AKbyAU6iHF3AayY4u1vMBIyIisjL8H0tkJiVLAn+gCyLhgn1oiWQnltciIiIqKFaRTkBkDdRqwMMjdcpZHYNYIiKiAsMglsiMSvskGaac1bkwiCUiIiooDGKJzKg3fsZCDJUPGMQSEREVGAaxRGbk5J5m2llXF8t1hIiIqIhjEEtkRs4eqUFsQtfXLdgTIiKioo1BLJEZuXjKIPYoXgTatrVwb4iIiIouBrFEZuTqxWlniYiICgODWCIzcvOWQWx9nIIm5qmFe0NERFR0MYglMiP3kqk5serDey3YEyIioqKNQSyRGfnVK2m4r3BjiS0iIqKCwiCWyIxU1SpB+PvLB64MYomIiAoKg1giM1NEyGlnGcQSEREVHAaxROak0wGRkfI+g1giIqICwyCWyJwuX06978IZu4iIiAoKg1gic9LnwwKAnZ3l+kFERFTEqSzdAaIixdkZuHcP0GgAhcLSvSEiIiqyGMQSmZufn6V7QEREVOQxnYCIiIiIrA6DWCIiIiKyOgxiiYiIiMjqMIglIiIiIqvDIJaIiIiIrA6DWCIiIiKyOgxiiYiIiMjqFKs6sUIIAECkfm57IiIiInqu6OM0fdyWmWIVxEZFRQEA/NNODUpEREREz52oqCi4urpmul4hsgtzixCdTof79+/D2dkZikKYEjQyMhL+/v64c+cOXFxcCvz5yDx43KwXj5314rGzTjxu1ut5PnZCCERFRcHPzw9KZeaZr8VqJFapVKJ06dKF/rwuLi7P3RuEssfjZr147KwXj5114nGzXs/rsctqBFaPF3YRERERkdVhEEtEREREVodBbAHSaDSYPHkyNBqNpbtCucDjZr147KwXj5114nGzXkXh2BWrC7uIiIiIqGjgSCwRERERWR0GsURERERkdRjEEhEREZHVYRBLRERERFaHQWwB+f7771GuXDnY2dkhMDAQ//77r6W7ROlMmTIFCoXC6Fa1alXD+vj4eAwdOhQeHh5wcnJCjx498PDhQwv2uHg6cOAAOnfuDD8/PygUCmzatMlovRACn332GXx9fWFvb4/WrVvj6tWrRm2ePn2K3r17w8XFBW5ubhgwYACio6ML8VUUT9kdu/79+2f4DAYFBRm14bErfNOnT0fDhg3h7OwMb29vdOvWDcHBwUZtcvL38fbt2+jYsSMcHBzg7e2NMWPGICkpqTBfSrGSk+PWokWLDJ+5wYMHG7WxpuPGILYArFu3DiNHjsTkyZNx6tQp1KlTB+3atcOjR48s3TVKp0aNGggNDTXcDh06ZFg3YsQI/PHHH/jtt9+wf/9+3L9/H6+++qoFe1s8xcTEoE6dOvj+++9Nrp81axbmzZuHxYsX49ixY3B0dES7du0QHx9vaNO7d29cuHABO3fuxNatW3HgwAEMGjSosF5CsZXdsQOAoKAgo8/gL7/8YrSex67w7d+/H0OHDsU///yDnTt3IjExEW3btkVMTIyhTXZ/H5OTk9GxY0dotVocOXIEK1euxIoVK/DZZ59Z4iUVCzk5bgAwcOBAo8/crFmzDOus7rgJMrtGjRqJoUOHGh4nJycLPz8/MX36dAv2itKbPHmyqFOnjsl14eHhwtbWVvz222+GZZcuXRIAxNGjRwuph5QeALFx40bDY51OJ3x8fMTXX39tWBYeHi40Go345ZdfhBBCXLx4UQAQx48fN7T566+/hEKhEPfu3Su0vhd36Y+dEEL069dPdO3aNdNteOyeD48ePRIAxP79+4UQOfv7uG3bNqFUKsWDBw8MbRYtWiRcXFxEQkJC4b6AYir9cRNCiObNm4vhw4dnuo21HTeOxJqZVqvFyZMn0bp1a8MypVKJ1q1b4+jRoxbsGZly9epV+Pn5oXz58ujduzdu374NADh58iQSExONjmPVqlVRpkwZHsfnyI0bN/DgwQOj4+Tq6orAwEDDcTp69Cjc3NzQoEEDQ5vWrVtDqVTi2LFjhd5nMrZv3z54e3ujSpUq+OCDD/DkyRPDOh6750NERAQAoESJEgBy9vfx6NGjqFWrFkqWLGlo065dO0RGRuLChQuF2PviK/1x01uzZg08PT1Rs2ZNjB8/HrGxsYZ11nbcVJbuQFETFhaG5ORkozcAAJQsWRKXL1+2UK/IlMDAQKxYsQJVqlRBaGgoPv/8c7z00ks4f/48Hjx4ALVaDTc3N6NtSpYsiQcPHlimw5SB/liY+rzp1z148ADe3t5G61UqFUqUKMFjaWFBQUF49dVXERAQgGvXrmHChAlo3749jh49ChsbGx6754BOp8PHH3+Mpk2bombNmgCQo7+PDx48MPm51K+jgmXquAHAW2+9hbJly8LPzw/nzp3DJ598guDgYGzYsAGA9R03BrFUbLVv395wv3bt2ggMDETZsmXx66+/wt7e3oI9Iyoe3njjDcP9WrVqoXbt2qhQoQL27duHVq1aWbBnpDd06FCcP3/e6HoBev5ldtzS5pPXqlULvr6+aNWqFa5du4YKFSoUdjfzjekEZubp6QkbG5sMV2k+fPgQPj4+FuoV5YSbmxsqV66MkJAQ+Pj4QKvVIjw83KgNj+PzRX8ssvq8+fj4ZLioMikpCU+fPuWxfM6UL18enp6eCAkJAcBjZ2nDhg3D1q1bsXfvXpQuXdqwPCd/H318fEx+LvXrqOBkdtxMCQwMBACjz5w1HTcGsWamVqtRv3597N6927BMp9Nh9+7daNy4sQV7RtmJjo7GtWvX4Ovri/r168PW1tboOAYHB+P27ds8js+RgIAA+Pj4GB2nyMhIHDt2zHCcGjdujPDwcJw8edLQZs+ePdDpdIY/4PR8uHv3Lp48eQJfX18APHaWIoTAsGHDsHHjRuzZswcBAQFG63Py97Fx48b477//jL6E7Ny5Ey4uLqhevXrhvJBiJrvjZsqZM2cAwOgzZ1XHzdJXlhVFa9euFRqNRqxYsUJcvHhRDBo0SLi5uRld7UeWN2rUKLFv3z5x48YNcfjwYdG6dWvh6ekpHj16JIQQYvDgwaJMmTJiz5494sSJE6Jx48aicePGFu518RMVFSVOnz4tTp8+LQCIb775Rpw+fVrcunVLCCHEjBkzhJubm9i8ebM4d+6c6Nq1qwgICBBxcXGGfQQFBYl69eqJY8eOiUOHDolKlSqJN99801IvqdjI6thFRUWJ0aNHi6NHj4obN26IXbt2iRdeeEFUqlRJxMfHG/bBY1f4PvjgA+Hq6ir27dsnQkNDDbfY2FhDm+z+PiYlJYmaNWuKtm3bijNnzojt27cLLy8vMX78eEu8pGIhu+MWEhIipk6dKk6cOCFu3LghNm/eLMqXLy9efvllwz6s7bgxiC0g8+fPF2XKlBFqtVo0atRI/PPPP5buEqXz+uuvC19fX6FWq0WpUqXE66+/LkJCQgzr4+LixJAhQ4S7u7twcHAQ3bt3F6GhoRbscfG0d+9eASDDrV+/fkIIWWbr008/FSVLlhQajUa0atVKBAcHG+3jyZMn4s033xROTk7CxcVFvPPOOyIqKsoCr6Z4yerYxcbGirZt2wovLy9ha2srypYtKwYOHJjhyz6PXeEzdcwAiOXLlxva5OTv482bN0X79u2Fvb298PT0FKNGjRKJiYmF/GqKj+yO2+3bt8XLL78sSpQoITQajahYsaIYM2aMiIiIMNqPNR03hRBCFN64LxERERFR/jEnloiIiIisDoNYIiIiIrI6DGKJiIiIyOowiCUiIiIiq8MgloiIiIisDoNYIiIiIrI6DGKJiIiIyOowiCUiIiIiq8MglojIiikUCmzatMnS3SAiKnQMYomILKR///7o1q2bpbtBRGSVGMQSERERkdVhEEtE9Bxo0aIFPvroI4wdOxYlSpSAj48PpkyZYtTm6tWrePnll2FnZ4fq1atj586dGfZz584d9OrVC25ubihRogS6du2KmzdvAgAuX74MBwcH/O9//zO0//XXX2Fvb4+LFy8W5MsjIjI7BrFERM+JlStXwtHREceOHcOsWbMwdepUQ6Cq0+nw6quvQq1W49ixY1i8eDE++eQTo+0TExPRrl07ODs74+DBgzh8+DCcnJwQFBQErVaLqlWrYvbs2RgyZAhu376Nu3fvYvDgwZg5cyaqV69uiZdMRJRnCiGEsHQniIiKo/79+yM8PBybNm1CixYtkJycjIMHDxrWN2rUCK+88gpmzJiBHTt2oGPHjrh16xb8/PwAANu3b0f79u2xceNGdOvWDT///DO+/PJLXLp0CQqFAgCg1Wrh5uaGTZs2oW3btgCATp06ITIyEmq1GjY2Nti+fbuhPRGRtVBZugNERCTVrl3b6LGvry8ePXoEALh06RL8/f0NASwANG7c2Kj92bNnERISAmdnZ6Pl8fHxuHbtmuHxsmXLULlyZSiVSly4cIEBLBFZJQaxRETPCVtbW6PHCoUCOp0ux9tHR0ejfv36WLNmTYZ1Xl5ehvtnz55FTEwMlEolQkND4evrm/dOExFZCINYIiIrUK1aNdy5c8co6Pznn3+M2rzwwgtYt24dvL294eLiYnI/T58+Rf/+/TFx4kSEhoaid+/eOHXqFOzt7Qv8NRARmRMv7CIisgKtW7dG5cqV0a9fP5w9exYHDx7ExIkTjdr07t0bnp6e6Nq1Kw4ePIgbN25g3759+Oijj3D37l0AwODBg+Hv749Jkybhm2++QXJyMkaPHm2Jl0RElC8MYomIrIBSqcTGjRsRFxeHRo0a4b333sO0adOM2jg4OODAgQMoU6YMXn31VVSrVg0DBgxAfHw8XFxcsGrVKmzbtg2rV6+GSqWCo6Mjfv75Z/zwww/466+/LPTKiIjyhtUJiIiIiMjqcCSWiIiIiKwOg1giIiIisjoMYomIiIjI6jCIJSIiIiKrwyCWiIiIiKwOg1giIiIisjoMYomIiIjI6jCIJSIiIiKrwyCWiIiIiKwOg1giIiIisjoMYomIiIjI6vwfKECKvJ9T1+YAAAAASUVORK5CYII=\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x300 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x300 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x300 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x300 with 1 Axes>"
],
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArEAAAE8CAYAAADXHOm2AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAd4VJREFUeJzt3Xd8U1UbB/Bf0r3LaKFA2XuKzLJkDxFZggMFFEEElKUIioATARUVFJBXhhMUWSJ7I3tvyoYCZUMHpTPn/eNpVmfaJk3T/r6fT0h6783NCTfjybnPeY5GKaVARERERORAtPZuABERERFRVjGIJSIiIiKHwyCWiIiIiBwOg1giIiIicjgMYomIiIjI4TCIJSIiIiKHwyCWiIiIiBwOg1giIiIicjgMYomIiIjI4TCIJSIqIDQaDSZNmmTvZhARWQWDWCKiLDh+/Diee+45lClTBu7u7ihZsiTatWuHGTNm2LtpdvXw4UMEBgZCo9FgyZIl9m4OERUADGKJiCy0a9cu1K9fH0ePHsXAgQMxc+ZMvP7669Bqtfj222/t3Ty7mjBhAmJiYuzdDCIqQJzt3QAiIkfx2Wefwc/PD/v374e/v7/Zutu3b9unUXnAiRMnMGvWLEyYMAETJkywd3OIqIBgTywRkYUuXLiAGjVqpApgASAwMNDs7/nz56N169YIDAyEm5sbqlevjlmzZqW6X9myZfHMM89g69atqF+/Pjw8PFCrVi1s3boVALB06VLUqlUL7u7uqFevHg4fPmx2//79+8Pb2xsXL15Ehw4d4OXlhRIlSuDjjz+GUirT53T9+nW89tprKFasGNzc3FCjRg3MmzfP8v8UAMOHD0f37t3RvHnzLN2PiCgn2BNLRGShMmXKYPfu3Thx4gRq1qyZ4bazZs1CjRo18Oyzz8LZ2Rn//PMPhgwZAp1Oh6FDh5pte/78ebz00kt444038PLLL+PLL79Ely5dMHv2bLz//vsYMmQIAGDy5Mno3bs3QkNDodUa+yCSkpLQsWNHNG7cGFOnTsXatWsxceJEJCYm4uOPP063jbdu3ULjxo2h0WgwbNgwBAQEYM2aNRgwYAAiIyMxYsSITP9P/vrrL+zatQunT5/G5cuXM92eiMhqFBERWWT9+vXKyclJOTk5qZCQEDVmzBi1bt06FR8fn2rbmJiYVMs6dOigypcvb7asTJkyCoDatWuXYdm6desUAOXh4aGuXLliWD5nzhwFQG3ZssWwrF+/fgqAeuuttwzLdDqd6ty5s3J1dVV37twxLAegJk6caPh7wIABKigoSN29e9esTS+88ILy8/NL8zmkfI6lS5dW48aNU0optWXLFgVA/fXXXxnej4jIGphOQERkoXbt2mH37t149tlncfToUUydOhUdOnRAyZIlsXLlSrNtPTw8DLcjIiJw9+5dPPXUU7h48SIiIiLMtq1evTpCQkIMfzdq1AgA0Lp1a5QuXTrV8osXL6Zq27Bhwwy39T2r8fHx2LhxY5rPRSmFv//+G126dIFSCnfv3jVcOnTogIiICBw6dCjD/48vvvgCCQkJeP/99zPcjojIFphOQESUBQ0aNMDSpUsRHx+Po0ePYtmyZZg+fTqee+45HDlyBNWrVwcA7Ny5ExMnTsTu3btTjdqPiIiAn5+f4W/TQBWAYV1wcHCayx88eGC2XKvVonz58mbLKleuDADpnuK/c+cOHj58iB9//BE//vhjmttkNFjt8uXLmDZtGr7//nt4e3unux0Rka0wiCUiygZXV1c0aNAADRo0QOXKlfHqq6/ir7/+wsSJE3HhwgW0adMGVatWxddff43g4GC4urpi9erVmD59OnQ6ndm+nJyc0nyM9JYrCwZsZUbfhpdffhn9+vVLc5vatWune/8JEyagZMmSaNmypSFQvnnzJgAJkC9fvozSpUub5e4SEVkTg1giohyqX78+ACA8PBwA8M8//yAuLg4rV64062XdsmWLTR5fp9Ph4sWLht5XADh79iwAqX6QloCAAPj4+CApKQlt27bN8mNevXoV58+fT9UDDMAwEO3BgwdpVnIgIrIGBrFERBbasmULWrZsCY1GY7Z89erVAIAqVaoAMPagmvaYRkREYP78+TZr28yZM/Hdd98ZHnfmzJlwcXFBmzZt0tzeyckJPXv2xO+//55mtYU7d+4gICAg3cf79NNPcffuXbNlJ06cwIcffogxY8YgJCQEXl5eOXxWRETpYxBLRGSht956CzExMejevTuqVq2K+Ph47Nq1C4sXL0bZsmXx6quvAgDat28PV1dXdOnSBW+88Qaio6Mxd+5cBAYGGnprrcnd3R1r165Fv3790KhRI6xZswb//vsv3n///QwD0S+++AJbtmxBo0aNMHDgQFSvXh3379/HoUOHsHHjRty/fz/d+zZr1izVMn2va4MGDdCtW7ecPi0iogwxWYmIyEJffvklWrVqhdWrV2PUqFEYNWoU9u3bhyFDhmDv3r2GIK5KlSpYsmQJNBoN3nnnHcyePRuDBg3C8OHDbdIuJycnrF27Fjdv3sS7776L/fv3Y+LEifjkk08yvF+xYsWwb98+vPrqq1i6dCmGDRuGb7/9Fvfv38eUKVNs0lYiImvRKGuMECAiIrvo378/lixZgujoaHs3hYgoV7EnloiIiIgcDoNYIiIiInI4DGKJiIiIyOE4bBD7xRdfQKPRYMSIEfZuChGR3SxYsID5sERUIDlkELt//37MmTMnw9lkiIiIiCj/crggNjo6Gn369MHcuXNRqFAhezeHiIiIiOzA4SY7GDp0KDp37oy2bdvi008/zXDbuLg4xMXFGf7W6XS4f/8+ihQpkmrGHSIiIiKyP6UUoqKiUKJECWi16fe3OlQQu2jRIhw6dAj79++3aPvJkyfjo48+snGriIiIiMjawsLCUKpUqXTXO0wQGxYWhuHDh2PDhg1wd3e36D7jxo3DqFGjDH9HRESgdOnSCAsLg6+vr62aSkRERETZFBkZieDgYPj4+GS4ncPM2LV8+XJ0794dTk5OhmVJSUnQaDTQarWIi4szW5eWyMhI+Pn5ISIigkEsERERUR5kabzmMD2xbdq0wfHjx82Wvfrqq6hatSree++9TANYIiIiIso/HCaI9fHxQc2aNc2WeXl5oUiRIqmWExEREVH+5nAltoiIiIiIHKYnNi1bt261dxOIiIjyJaUUEhMTkZSUZO+mUD7j5OQEZ2fnHJc7deggloiIiKwvPj4e4eHhiImJsXdTKJ/y9PREUFAQXF1ds70PBrFERERkoNPpcOnSJTg5OaFEiRJwdXXlBEFkNUopxMfH486dO7h06RIqVaqU4YQGGWEQS0RUQOh0wFtvATduAF26AM8+CxQtau9WUV4THx8PnU6H4OBgeHp62rs5lA95eHjAxcUFV65cQXx8vMX1/1NiEEtEVEAcPQr88IPcXr4c8PMDtm8Hate2a7Moj8pu7xiRJazx+uIrlIiogNDP2F22LFC5MhARATz3HBAZaddmERFlC4NYIqIC4sABuX7hBWDXLiA4GDh3DhgwAHCMuRuJiIwYxBIRFRD6ntgGDYAiRYA//wRcXIAlS4Bly+zbNiJ7u3z5MjQaDY4cOWLxfRYsWAB/f3+7t6OgYhBLZA/HjgEPHti7FVSAPH4M6Gfurl9frhs3loFeAPD33/ZpF5G1hYWF4bXXXjNUVihTpgyGDx+Oe/fuZXi/4OBghIeHZ2kW0Oeffx5nz57NaZMpmxjEEuW2gweBOnWAihXt3RIqQI4cAZKSgMBASSPQ69ZNrteulfVEjuzixYuoX78+zp07hz/++APnz5/H7NmzsWnTJoSEhOD+/ftp3i8+Ph5OTk4oXrw4nJ0tH/Pu4eGBwMBAazWfsohBLFFuW79ertP5MCWyBdNUAtOSnyEhQKFC8nLcs8c+baO8Tyng0aPcv2Q1V3vo0KFwdXXF+vXr8dRTT6F06dLo1KkTNm7ciOvXr+ODDz4AAJQtWxaffPIJ+vbtC19fXwwaNCjN0/grV65EpUqV4O7ujlatWmHhwoXQaDR4+PAhgNTpBJMmTcITTzyBX375BWXLloWfnx9eeOEFREVFGbZZu3YtmjVrBn9/fxQpUgTPPPMMLly4kN1DU6AxiCXKbb6+xtscTUO5RD+oq0ED8+XOzkCHDnL7339zt03kOGJiAG/v3L9kZcKw+/fvY926dRgyZAg8PDzM1hUvXhx9+vTB4sWLoZI/d7/88kvUqVMHhw8fxocffphqf5cuXcJzzz2Hbt264ejRo3jjjTcMQXBGLly4gOXLl2PVqlVYtWoVtm3bhi+++MKw/tGjRxg1ahQOHDiATZs2QavVonv37tDpdJY/WQLAOrFEua9tW+PtR4/kk5rIxkx7YlPq3BlYtEiC2M8/z912EVnLuXPnoJRCtWrV0lxfrVo1PHjwAHfu3AEAtG7dGqNHjzasv3z5stn2c+bMQZUqVTBt2jQAQJUqVXDixAl89tlnGbZDp9NhwYIF8PHxAQC88sor2LRpk+F+PXv2NNt+3rx5CAgIwKlTp7KUj0sMYolyX+XKgJsbEBcH3L3LIJZsLjISCA2V22kFsR06SIrBsWNAWJh5ziwRAHh6AtHR9nncrFIWnuGqrx/hmI7Q0FA0SPGGadiwYab7LVu2rCGABYCgoCDcvn3b8Pe5c+cwYcIE7N27F3fv3jX0wF69epVBbBYxiCXKbRqNJCImJXEkDeWKQ4ckc6VMGSAgIPX6gACgUSPJiV29GnjjjdxvI+VtGg3g5WXvVmSsYsWK0Gg0OH36NLp3755q/enTp1GoUCEEJL8JvGz0hFxcXMz+1mg0ZqkCXbp0QZkyZTB37lyUKFECOp0ONWvWRHx8vE3ak58xJ5Yot128CIwcCXzzDVChgr1bQwWAfsxI9erpb9Opk1xv32779hDZQpEiRdCuXTv88MMPePz4sdm6mzdv4rfffsPzzz8PjenIxgxUqVIFB/TJ5Mn26/NysunevXsIDQ3F+PHj0aZNG0OKA2UPg1ii3LZ6NdC1K2CS6E9kS9evy3XJkulv88QTcn3ypM2bQ2QzM2fORFxcHDp06IDt27cjLCwMa9euRbt27VCyZMlM81lNvfHGGzhz5gzee+89nD17Fn/++ScWLFgAABYHwikVKlQIRYoUwY8//ojz589j8+bNGDVqVLb2RQxiiXKf/pSRq6t920EFxo0bcl2iRPrb1Kgh12fOMMuFHFelSpVw4MABlC9fHr1790aFChUwaNAgtGrVCrt370bhwoUt3le5cuWwZMkSLF26FLVr18asWbMM1Qnc3Nyy1T6tVotFixbh4MGDqFmzJkaOHGkYOEZZp1GWZkDnA5GRkfDz80NERAR8TcscEeWmL74Axo2T2x99BEyYYN/2UL7XpQuwahUwZw4waFDa2+h0Msbw8WMZBFa5cu62kfKO2NhYXLp0CeXKlYO7u7u9m5OnfPbZZ5g9ezbCwsLs3RSHl9HrzNJ4jT2xRLnNNHn/5k37tYMKDEvSCbRaQF+ZiCkFROKHH37A/v37cfHiRfzyyy+YNm0a+vXrZ+9mUTIGsUS5LS7OeDuTubyJrMGSdALAmFLAIJZInDt3Dl27dkX16tXxySefYPTo0Zg0aZK9m0XJWGKLKLeZ9sTevWu/dlCBkJAA6EtUZtQTCzCIJUpp+vTpmD59ur2bQelgTyxRbmMQS7koPFxqxLq4AEWLZrwtg1giciQMYoly2/PPAwMHym2mE5CN6fNhS5SQvNeM6IPY0FAgMdG27SIiyikGsUS5rUkTILlMC+7elW4yIhuxNB8WkBm9PD3lZMH587ZtFxFRTjGIJbKHokVl+qRGjczTC4iszJLKBHparXFWL6YUEFFexyCWKLcdOQLs3Qts2ABs2wZks2g2kSWyEsQCQM2acs0glojyOgaxRLlt4kSgTRvg33/t3RIqAExzYi3BwV1E5CgYxBLlNk47S7lInxNraU+sPog9ftw27SGivO3y5cvQaDQ4cuSIvZuSKQaxRLlNH8QOHQoEBQGLF9u3PZSvZTWdoE4duQ4NlSloiRxJ//79odFooNFo4OLignLlymHMmDGIjY21d9MssnXrVmg0Gjx8+DBXHq9///7o1q2b2bLg4GCEh4ejpj63KA9jEEuU2/QzdsXFybSzt27Ztz2UbymV9SA2KAgIDAR0OvbGkmPq2LEjwsPDcfHiRUyfPh1z5szBxIkT7d0sq4q34YBgJycnFC9eHM7OeX8+LAaxRLlN/+GjT1LkhAdkI1FRwKNHctvSnFiNBnjiCbntAGcTKbc9epT+JWVvZ0bbpuzmT2ubbHJzc0Px4sURHByMbt26oW3bttiwYQMAQKfTYfLkyShXrhw8PDxQp04dLFmyxOz+J0+exDPPPANfX1/4+PigefPmuHDhguH+H3/8MUqVKgU3Nzc88cQTWLt2reG++lPxS5cuRatWreDp6Yk6depg9+7dhm2uXLmCLl26oFChQvDy8kKNGjWwevVqXL58Ga1atQIAFCpUCBqNBv379wcAtGzZEsOGDcOIESNQtGhRdOjQIc3T/g8fPoRGo8HWrVszfT6TJk3CwoULsWLFCkPv9datW9Pc77Zt29CwYUO4ubkhKCgIY8eORaJJMemWLVvi7bffxpgxY1C4cGEUL148V6bnZRBLlNsYxFIu0ffC+vkBXl6W349BLKXL2zv9S8+e5tsGBqa/badO5tuWLZt6Gys4ceIEdu3aBdfkMQiTJ0/Gzz//jNmzZ+PkyZMYOXIkXn75ZWzbtg0AcP36dbRo0QJubm7YvHkzDh48iNdee80QsH377bf46quv8OWXX+LYsWPo0KEDnn32WZw7d87scT/44AO88847OHLkCCpXrowXX3zRsI+hQ4ciLi4O27dvx/HjxzFlyhR4e3sjODgYf//9NwAgNDQU4eHh+Pbbbw37XLhwIVxdXbFz507Mnj3bouef0fN555130Lt3b0PPdXh4OJo0aZLmPp5++mk0aNAAR48exaxZs/DTTz/h008/Ndtu4cKF8PLywt69ezF16lR8/PHHhh8PNqMcxOeff67q16+vvL29VUBAgOratas6c+ZMlvYRERGhAKiIiAgbtZLIAlWrKgUo1aOHXPfube8WUT61YYO8xKpXz9r9/vhD7te4sW3aRXnb48eP1alTp9Tjx49Tr5QslbQvTz9tvq2nZ/rbPvWU+bZFi6beJhv69eunnJyclJeXl3Jzc1MAlFarVUuWLFGxsbHK09NT7dq1y+w+AwYMUC+++KJSSqlx48apcuXKqfj4+DT3X6JECfXZZ5+ZLWvQoIEaMmSIUkqpS5cuKQDqf//7n2H9yZMnFQB1+vRppZRStWrVUpMmTUpz/1u2bFEA1IMHD8yWP/XUU6pu3bpmy/SPdfjwYcOyBw8eKABqy5YtFj2ffv36qa5du2a43/fff19VqVJF6XQ6wzbff/+98vb2VklJSYb2NWvWLNX/y3vvvZfm4yqV8evM0ngt7yc8JNu2bRuGDh2KBg0aIDExEe+//z7at2+PU6dOwSsrXQxEthAXB7z3HtCli5TPysjYscCdO5J0uHQpe2LJZrJaXktP3xN77BiQlAQ4OVm1WeTIoqPTX5fyhXL7dvrbppwD+fLlbDcppVatWmHWrFl49OgRpk+fDmdnZ/Ts2RMnT55ETEwM2rVrZ7Z9fHw86tatCwA4cuQImjdvDhcXl1T7jYyMxI0bN9C0aVOz5U2bNsXRo0fNltWuXdtwOygoCABw+/ZtVK1aFW+//TbefPNNrF+/Hm3btkXPnj3Ntk9PvXr1LPsPMJHR87HU6dOnERISAo1GY1jWtGlTREdH49q1ayhdujQApHoOQUFBuJ3Ra8AKHCaINc05AYAFCxYgMDAQBw8eRIsWLezUKqJkU6cC334rl8ymke3XT67XrZNrBrFkI1ktr6VXqRLg4QHExADnzgFVq1q/beSgstJpZKttM92VFypWrAgAmDdvHurUqYOffvrJMNr+33//RckUbwq35ElnPDw8rNIG06BRH/zpdDoAwOuvv44OHTrg33//xfr16zF58mR89dVXeOuttzJ9Xqa0yT8ElMl3TkJCgtk21no+lkgZKGs0GsNzthWHzYmNiIgAABQuXDjdbeLi4hAZGWl2IbKJ//7L+n2CgmR6pCpVrN8eIhiD2Kz2xDo5AfpOFebFkiPTarV4//33MX78eFSvXh1ubm64evUqKlasaHYJDg4GIL2JO3bsSBUMAoCvry9KlCiBnTt3mi3fuXMnquvna7ZQcHAwBg8ejKVLl2L06NGYO3cuABhyd5OSkjLdR0BAAAAgPDzcsCxlbdeMno/+8TJ7rGrVqmH37t1mwfLOnTvh4+ODUqVKZdpOW3LIIFan02HEiBFo2rRphnXMJk+eDD8/P8NF/yIlsjr9B0Tx4plvu2uXTDtbpYrUMPrzT9u2jQos/Xdb8tnMLEk+u8oglhxer1694OTkhDlz5uCdd97ByJEjsXDhQly4cAGHDh3CjBkzsHDhQgDAsGHDEBkZiRdeeAEHDhzAuXPn8MsvvyA0NBQA8O6772LKlClYvHgxQkNDMXbsWBw5cgTDhw+3uD0jRozAunXrcOnSJRw6dAhbtmxBtWrVAABlypSBRqPBqlWrcOfOHURnkL7h4eGBxo0b44svvsDp06exbds2jB8/3mybzJ5P2bJlcezYMYSGhuLu3btpBrtDhgxBWFgY3nrrLZw5cwYrVqzAxIkTMWrUKENvsL04ZBA7dOhQnDhxAosWLcpwu3HjxiEiIsJwCQsLy6UWUoGjLwfz/feZb9u2LdC4sdSIJbIh/UvMkt9WKenzYg8ftlpziOzC2dkZw4YNw9SpUzFu3Dh8+OGHmDx5MqpVq4aOHTvi33//Rbly5QAARYoUwebNmxEdHY2nnnoK9erVw9y5cw2nyt9++22MGjUKo0ePRq1atbB27VqsXLkSlSpVsrg9SUlJGDp0qOHxK1eujB9++AEAULJkSXz00UcYO3YsihUrhmHDhmW4r3nz5iExMRH16tXDiBEjUlUMyOz5DBw4EFWqVEH9+vUREBCQqpdZ36bVq1dj3759qFOnDgYPHowBAwakCpjtQaNUZgl8ecuwYcOwYsUKbN++3fCis1RkZCT8/PwQEREBX19fG7WQChylgEKFgIgI6VnNbJYTZ2cZLXPjRva6yIgsVKECcPEisGMH0KxZ1u67d6/81goIkPk4TMZ0UD4XGxuLS5cuoVy5cnB3d7d3cyifyuh1Zmm85jA9sUopDBs2DMuWLcPmzZuzHMAS2cyjR0DlynI7OjrjuTqTkuQCAK6uMsdnyZLA1au2bycVKErlLJ2gVi3Jjb1zB+BJLCLKixwmiB06dCh+/fVX/P777/Dx8cHNmzdx8+ZNPObk3mRv3t7Avn0yeiYkBDh9Ov1tTacKdHWVGkg3bsjUSkRWFBVl/D2VnXQCT09jSoHJZENERHmGwwSxs2bNQkREBFq2bImgoCDDZfHixfZuGpEoVEiu799PfxvTINbNDYnuySVTcjDFIlFa9L2wPj7Zr14UEiLXu3ZZp01ERNbkMEGsUirNi35eYSK70aeV64PYBw/S39YkiH11kAvOXpfoIjEyxlatowIqJ6kEevoZKNkTS0R5kcMEsUR51gsvANWqGburMgpi4+IAAPFwwYKFGsTAEwAQdZM9sWRdOalMoKfviT18OONUb8qfHGzcNzkYa7y+GMQS5dSJE8CZM7iFYvJ3RkGsjw/Ovfo5JmESAgOBWK30xEbfYU8sWZc1emLLlJEgODEROHDAOu2ivE9ffikmhp9LZDv611dOpsR1mGlnifKkpCTg/HkAwE5dY/TAMtw4+QDpTpDk54fQHuMweT7QoAyQFO0FxACP77AnlqxL3xObkyBWo5GUgqVLJaWgefOs7yM6GvjwQ7ldqhTw9NNy4oLyLicnJ/j7+xvmvff09DRMnUqUU0opxMTE4Pbt2/D394eTk1O298UglignrlwB4uOR4OSGY0m10QPLsG/dA3RV6dfVTM4ogJsbcNunPI7H1MTjJO/cazMVCPqe2JykEwCSUrB0afYHd82YAXzzjfHv6dOlopydJ/qhTBRPfuHoA1kia/P39ze8zrKLQSxRTiRP3RfmXgnbH7XANLyDXbeb4PEi4MUX09g+OhqeZ86iErzh5lYZ85+ciTVrgHlVgYa523LK56yRTgCYD+5SGfw4S8/vv8t1167A+vVSVe7ECaB27Zy1i2xLo9EgKCgIgYGBaU5FSpQTLi4uOeqB1WMQS5QTZ88CAE4mVMYWtIZ/99ZYvgw4Nj6dIPboUXQa3wwVUREj3M6hcGFZnFFVLqLssEY6AQA8+STg4gLcvi2zf1WoYPl9jx+XgNXVFZg/H+jTB1izBti4kUGso3BycrJKsEFkCzyhQ5QT27cDAA7E14ZGA3z1lSy+eBHQ6dLYPjmXIA5ucHMDg1iyGWulE7i7A/Xry+3kl7vF9L2wTz8tFejatJG/N23KWZuIiAAGsUQ5U706YoLKYxWeQeXyiQiIuYJqOAXAmPtqJrlObDxc4eYGtLs4B6dQDU3XjM/FRlN+Fx8P3Lsnt3PaEwsALVvK9datlt9HpwP++ENuv/SSXOuD2O3bAZ6hJqKcYhBLlBOffIL/vXceh/Ak2pS9AO+aZbELkkSYURCr74ktpI1ANZyB131OTk/Wc+uWXDs7G3v7c6JVK7nessU4t4ephASgUyegUSNDhg1275Zxjz4+wDPPyLLatYGiRaViwb59OW8XERVsDGKJcujESQ0ADYJry4xd/oiAFklpB7GGyQ6kJ9a1UPJ8oI9Zj5GsxzSVwBpVAJo0kbzYsDDg0qXU67/5Bli7VgLTkBBg0iSge3dZ16MH4OEht7VaoHVrub1xY87bRUQFG4NYouxQCti8GYiPx4kTsqh8vUKG1X6IsCidwL2wzNjlFMs6sWQ91qpMoOflBTRMLp+xZYv5umvXgI8+ktulSkl+90cfAXfuAFWqABMmmG/PvFgishYGsUTZcfAg0KYNVPnyOHU8CQBQ4wkX+bYHUBj3LUon8Cgq2zvHMYgl67HGlLMpmaYUmBo5Enj0CGjaVCrOvfwyUKIE8O23Up2gfHnz7fVB7J49klZARJRdDGKJsmPlSgDA49qNERHtBBcXoFIlGBIQC+EBYmPTuF/t2lhX/wP8hV5wcwM8AySIdUlgOgFZj7V7YgFjELt1qzEvdv16YMkSwMkJ+OEHwNMT+OUXqQX79tuSgpBS+fJAcLDk0TIvNv+LjQXGjAE++EB+1BBZE4NYoqx6/Bj46ScAwNnqXQHIaVNXV0gdIUgQm2ZPbL16WPrkp/gZ/eDmBngHSjqBh+6RvpM2XUOHAs8/L/PYE2XEWjViTYWEyGv8+nWZaTkuDhg2TNa99ZbldV81Gum1BWTwF+VfcXGSEz1tGvD55/IaadrUOPCQKKcYxBJl1Zw5wI0bQHAw1vn2BgDUrJm8LrMgFsaqBa6ugHcpf1xCWVxHSTx4kP5D3rghPV1//gkcOGCl50H5lrVqxJry8AAaN5bbI0ZIz9q5cxIo63NiLRUSItfZncqW8r74eOC552RyCw8PoHNn+czbtUsG93E2W7IGBrFEWfHoETB5MgBAjf8QPy92AwC0aJG8vlcvzC/yDs6hUtpB7J07KHTnLIrgLtzcAG29uqhf+BLaY4Ohrmda9uwx3s5KrU4qmGyRTgAAo0dLisDq1caJPb76CvD1zdp+TKeyTXNSEHJ4P/4IrFolk2X884/cPnFC8qVPnZL0lDBWFqQcYhBLlBUzZ0oXQvny2FW5P06dkjxAfTF3DB2KmWWm4TCeTDuInTkT01dXwUeYCDeJfy2atcv0tGvKgTVEKd24IdclS1p3v88+C+zfD9SqJX+3aQO88ELW91OnjvTOPXhgrCvrKJjOkzmdDpgxQ25Pm2YczFepkvwI1weyTz7JKhWUMwxiibLi8mW5njQJs3+SUSsvvAD4+Rk30QenlpTYAiwLYk17Yv/7j7MdUfqSkow5sSVKWH//depIIPvvv8CKFZLjmlUuLkCDBnLbUVIK9uwBunSRnsW330amOewF2aZN8uPE1xfo3998XaVKwM6dQN26wN27QPv2wMCBwIULdmkqOTgGsURZMWsWsH077nV4CX/9JYveeMNk/ePHKK2uoBTC0q5OkBzZ6ktsITYWv5xpgBOogYjwtCsUxMcDJ/fHYAi+Rz+nXxETw7xYSt/t2xLIarVAYKBtHsPNDXj6aUNFuWzRpxQ4QhD76aeSx7tqlfzfzpgBPPWU1Mil1GbOlOv+/QFv79Try5aVQPa116TX9n//AypXlv9noqxgEEuUVc2b4+ffnBAXBzzxhLFHCQCwYAEW7SmLbzHcsp5YV1dUjjyAGjiFqJtp1IpVCtc+W4DjcZXwPYZhQdIrKIPLeSalIDFRSirduWPvlpCePpWgWDGZdjZTUVHAmTNyEHMxQdU0LzYvi4kBpkyR2y+/DMybB/j7S89sSAhw+rRdm5fnXL4sObAAMGRI+tt5eEiRl5075QeRTgd8+KF8nhBZikEsUWZu3ZLzh8ndLg8eGL/UBg1KcTo1s+oEKYNYrRbxTu4AgEe30whiT51C+Y9fRUlIZPLYuygK4UGeGdz17bdA377Aiy/auyWkpw9iM00l+PZbKdrq6wtUqybdtp6eUnogxvZ1i/UVCk6dQoaVOextxQqZlKFsWWDhQuDVV2Wuk2rV5COheXM5fc4BamLOHKkj3L69lB7MTJMmkpry/vvy98CBwN69tm0j5R8MYokysmGDJAHOmAG0bAkkJWHMGIlrq1WT02FmMgtikxea5sQmuso52cd30whiz50DAJxADXw+IRYXdt/BEdTFzp32z8lTylAuF5s2sXB9XmHRoK6oKOD774FLl+RvHx+5jouT4DYkxOYjmIoWTZ4gBJLnnVfpewZffllSNACJ/XfskKl4790D2raVHw0DBwInT9qvrfam0wG//Sa3Bw3K2n0/+QTo2tVYWzYiwvrto/yHQSxRWpQCPvsM6NBBItYaNYCVK7HtPyf873+yyY8/GgdxGVjYE2vIiQWQ6C5BbOz9NHq/kmvQnEFVNGjmhurV5cs/L+TF7t9vfipV3ztN9mVRT6yPD3D0qHSb3b0LREbKa/PffyX67dvXPBchKckmbW3fXq71+eV5za1bMisZALzyivm6IkXkx1u/fpIbfOuW5HbWrCnB2N27ud9ee/vvP/nI8vOTurBZodXKD4aKFeU1PG6cbdpI+QuDWKKUIiJkaqzx4yWYHTgQ2L8fdwKqG3pe33gDaNYsjftmFsR26oR5PsNxGHUNQazykFm74u6n7ol9dPoqAOAagtGwoXzQN60dBS2S7F6aaP58udYXwF+2TFIrcyosTL7M3n4b2Lw55/sraDINYvVzxnp4SHdZkSLyt4uLJCeePCkpBXo//CDV6R8/tnpb+/SR66VLpQRzXvPHHxK/N2okA49S8vYGFiyQyiIbNwI9e0p60cqVGeeD5lf6XtiePaWKQ1b5+EjnACBjaHfutF7bKH9iEEtk6uxZoHRp6RpycZFP1B9/RIzywLPPAhcvSm7cF1+kc//kqu++iELsY5V6fd++GO/9DXaghbEX11N6YuMfpu6JPdPwFbyGn/Bfid5SxqtJEyzd7IfqOIWrV3P8bLMtNla+4AHjaUClgKlTc7bfX36R/9++fSWDo0sX4NixHDe3QEk3iNXpgEmT5EeZSuO1qefnBzg5ye3bt2Vqru3bpUjshx9Kl7uVpltq3FhOzT96JLmnec2vv8p1yl7YlFxdpRbqkiVSbcHJST5CVq60fRvzivh4Y4+6/sdJdrRqZUzTGjjQWC6OKC0MYomio423K1WSILZaNekGHDgQERFSC3bPHuloXbNGRienydXVcDPhcdo5hfoeWn0QqyteAlcRjMjo1G/Hyz61MR+vIbxs8igYd3doodAQ++w6283y5dJhHRwsnXTvvCPLlyzJ/pnnhw+BkSMl1qpbVyo/xMQA3bplXEM3LcePy5nyU6cyjteyato0oGpVYyppXpRmEBsbK91jH30kicw7dli2s8BA6WJ3cZGuxk8/BcaOlfSa337L8X+uRiO5poCxFy+vuHdPBnABQK9elt+vcWOZ2QyQ3tjISOu3LS9as0YG6AUFSfmxnJg2TaprnD4tE2v8/TfSLllIBR6DWCq4HjyQqKlyZeO5TI0GWLcOOHECSSHN8PvvErT8848EnStXyt/p8vTEnieHYDpGID4ujS/48HAUfnwdbog1BLF3561EGVzFsscdU21+65ZcFyuWvCC5nlcD7LdpEHv1asbBqL6EzriWu6FNiENIiJwKjIqSADI7PvtMAofq1WWQ2KZNQLlyEjD27Wv5fu7elcB68GCJtcqXB44cyV6bTB04IPFbaGjeC7hMpRnEfvKJ/PJwdZU8EMM8yRZo2VJ+0L31FjBsmEQVd+8C771nHsRmM6DV99qtW2e1Dl6r0E8wUqVK1uvtTpwIVKgAXL8utwsC/XvixReNHfnZVbiwzExYp4681J57TgpnlC8vGTBr16ad3aLTpTPJDOVfqgCJiIhQAFRERIS9m0L2kJio1LZtSo0cqVRIiFLu7krJV69Sf/1l2Oz2baU+/FCpUqWMqytXlrta4qOP5D5vvJHGysaNlQJUVyxTYWGy6O5d4+PExZlsm5Cglj07T7XGRjV4YKIsW7JEKUAdRF1VrVq2/hcyNX26tOXjj9Pf5oknlKqGkyrB1UOpJ59U6s4d1aGD3G/GDAseRKcz+/PiRaVcXeX+q1cblx89qpSTkyw/d86y9vfrJ9sXLqyUm5vc7t/fsvumJyFBnrP+OLVunbP92UpcnLGNt28nLzx1SikXF1m4ZIl1HuSjj+RNoff4sVLNmyv122/Z2mWDBtK8r77KefOs5f33c/baWbdO7u/iIq/v/Oz2beP799Ah6+03Nlap995Tyt/f+LrWX5yclKpZU1521aopFRCglFYrl44dlfrzT7k/OSZL4zUGsVQw7NypVFBQ6k/CmjXl20bJd/PXXyvl52dcXbiwUp98krUPwy++SP/LT/fkk0oBqhP+NQQZiYlKaTRyn5s3TTa+elUpQMXDWU34IDmIvXLFsKyI1+OUsWCOnT5tDPzq1Ut7m6QkpQq5x6ijqCUbtmunVFKS+nxirBqAueqF3klp3/HCBaXatFGqeHH5Zm/aVKkTJ1RYmDGIadcuVXyr2raVdVOnZt7+DRtkW41Gqd27ldq6Vf7290/xAyGLpk2T/Xh4yLW7e978gkx+eSgXl+T/R51OqaeekoXPPJP6PzcnkkyOs/6XD6DUa68pFR2dpV3NmSN3LVTIJPi2s1atpE0//pj9fbRrJ/vo08d67coz7t5VKj5eKWV8f9Svn8196XTyK/Xhw3RX37ql1Nq1Sr35plIlS6b+KE/rUriwUm+/rdThw9lsF9kNg9g0MIjNx27dUmr9evk07dNHqRo15NNO7/Zt+enu5ydddb/8otSZM+rGtST1009K9eyplI+P8cOvbl2lFi3KXqAy+5PbqiTC1Eu9E1KtS6pRUylAtcZGZXgZTp+u9js1UoPxgzp1ymTjnTuVAtRFlFUzZyYv0+mULrCYUoBqhN3qwYOM23L5slLz50ugnJnEROmgNu3pSCsWuXhRqY/woVKA0gUGKhUerpROpyIrSYA+wn9e6lgpLk6i4hTfMonOruo533UKkENz8mTqx/vhB9m8cePkBZMnyyUyMlX7K1aUbYcNMy4rXjx1D29W3LqllJeX7ON//zPub+vW7O3PlnbvlraVKZO8YN48Y/R96ZLtHjghQakJE4y/xsqVk19x06crZcHnbUKCUnXqGGNge0tIMB7z48ezv5+DB40vd2v2UNpNQoJSO3Yo1auXdHmWL690O/5TVSsmqGIINw/4//c/6Q597z3pLChbVk5ntGoln9N6+/bJ60X/odOokVKffabUjRvpfnDpdEpdv67UP//IQ2zeLMcpPFypM2ekFz1loFu3rpwlunfPtv9FZB0MYtPAINaB3bun1NKlSq1YYb78mWeMUUXKyzPPGDZLSFDq4m+71N+/x6qPPlLq+eclzk15l6AgpebOtSzoS0+cm7dSgBrc/kKqdYkVKysFqGbYbgyQR49WClBT8Y7ascNk4z/+UApQ29Bc/fmnyfI2bZQC1Mv4WR09mn474uPlNBsgPcyZmTFDtvXxUapo0fQDtVX/6NQllJENfv/d+Lw//1IpQN1AcXX5uHmAqd55RylARboWVqMa7lADGh1Xa52eVhdRVnkjUj3xhFLnz6fRqGvX1P3vfzfERteuKTmNDUhPblSUYdN9+2Sxr6953DR0aM5OC7/9tty/QQP58nzhBfl74sTs7c+W/v5b2hYSkrxg1So5mF98kTsN2LQp9fuxZk1JN1Aqw1+Fyb/ZFCC37enwYeNrKSmdEwuWevFF2VeNGkqdPWuV5tnGvXtKTZkil9Wr5fPnjTfkV6Re8tkh04tOq1U3UFxtdGpvfDsmJMh/XnpdpK+/btznnTsSvDo7p84XCAgwPz2VhTMJiYlKrVkj8bY+1QGQ2y++mM7nDeUZDGLTwCDWAeh0So0bp9TAgdI92qqVUtWrG3t4WrUy314fbWk0KrF8RfWwXU915pVP1L9D/1VThl1Vr7yiVMOG5umvpheNRtZPmiRBUE6/sJRS6rFXYaUANajF6VTrEoPLKgWohthj/DyeMEEpQH2PN9XSpSYbT52qFKB+xUvmweTUqWpl4b6qBbaqVavSb8fMmebBuT6OSE+TJsaA97nn5Pbnn6fe7pe39ioFqBhnb6ViYowr4uLUVTfpCj3eZZzZfU5+vETd1xRSz2K5yf+/TtUtfkONHZu8m7g4yalMSO7BjoqS7hNAfVVuhgLkOakvvzQmybVoYQhkJ0+WRc8+a97enKQUXL5s/ALcsEGW6U99t2iRtX3lBv0PkZ49TRbevJmzX2VZ9eCBUosXy5sqKEgOjF6TJvJ+Tqd789VX036b57bvv5d2tG+f831duiSxmP4H4uzZFnVO564lS4yfpSkvL79s3C4uTk6ZvPKK/NLo29ewXYRHoPGJPXgggWqdOvKr748/5DTBmjXyw3fXLvPH37JFTvtcuSK9CE2bGh//++9lm8RESXZt21Z+FE+dqtR33ym1fXumT+/uXdlU39sPSNrUhx8q9ehRzv/7yPrybRA7c+ZMVaZMGeXm5qYaNmyo9u7da/F9GcRmU2ysnI6/e9d8+c2bSu3fL709K1YotXy5fFj9739mA6WUUnJK6ZVXJDrq3FlGxoSEyOml7t3Ntw0OTvPDNKpsDXW0y/tq4kSlBg2SX9Of1VmsXiq3SwX5RKX7o19/8faWM1X9+8vn36pVcqrY2mL8pSfq9Yapu0kTAiUvt77zYePCKVOUAtR89FOzZpls/NZbSgFqMt5Tp1PEw88+K8/JtJPE1P37ShUpItvoOzjS21YpiRv1+Z5nDkarLV2/VgMwVw1tcSzVtmtqSq/qsZovpFr3U9cVSgEqUeMk/8lJSWr1asnR9MMDVa+eUgsXKvXzz0rt2ZPiR8OPPxpPRffrJ1EioFRAgPpx3EUFmAyo2rvX2NNToYJS69cbcme/+868TZakFOh0Sp04Id+Xn3yi1Jgx0vxnnlHmj6ukN03fo2Maw+cF48ZJ24YPTZ3KYhd375r3nr3+ujTQ01OpWbPklLGJS5dktVZr39zYl1+2bm/7tWsyAMk0gOrXL5dfP/Hxkt/www/yKyfB5DUyaJA0rHp1pXr3lut69WQQ7JYt6e7yxg2lOjqtVz2wRB3eY+Uk8VOnlPrvP+MPsEWL0v9wb9PGvGv1+HF5fV25kmq3Bw4Y8+wBSb1Ztsy66eJ5UWysdKSfPy9jH44elf+LXbvkd4DZeIw8wNJ4zTntmgV50+LFizFq1CjMnj0bjRo1wjfffIMOHTogNDQUgVmtgZIbkpKAP/+UaZa0Wqk7or/W6YDixWUqGEDeT+PGyVSPTk5yrb+t1cpcfN26Gfc9eLDMbZ6UJPtKSjJeateW2aYAQKeDql4d8PCEzs1dSklFR0PzKBp49AgJ9UJw69cNSEqS3ZVpUwFOd29Bo0sy3F+bIFOlRlapj30z9yMhAUhIANq83ghed66k+dRvBj2BOSefQ0KCFMF+d+7fCHh4Ps1t7568iU4NpDRKZCTQ6+578NTcx11VGPchl+OohfDLJYDLAP4xvXdvs30VLixlXoODjdflyknd0QoVjHOf25LOWWrFqrj4VOs0ydPOmtaThafM2OWFR7hyy7g46UoYnABcRelUJX5Kl5br9Mps6ctVdaxwDmOeWI+n/34NX3zhgddfl5KfKZ0+LSVrvL2BysunosqKj9ESwOx9I6DUdGg0xm2dw2WWhcj2qYtnFu7XBT+teA0D1DxgzBjoHj3GqMUT5PXSwx+//GJ4uqk5OwMBAVJTS1+I1c0NWLECbYqVAyYD27ZJyZ2iDRtKTabnngMuXADat0cvp8HYiB/QpqUOGDNOiku6ucEpIABDWs3GhD+qYfFioFMn84ddtkyqRZ07l067AHz+ufF2xYoyM+v161LYvk2b9O+X227cACriHD76rS3Q8BOp0m968HKbfjYwvU8/Ba5cATZsAN58Uy6lS0vduiFDULZrV9StC8QfPoGwAUsQUE8jb+KGDWU+11yye7dch4RYZ38lS0qVsunTZWras2eBhQvlaY8da53HSNehQ8C8eVID6+FD4/J//gG6d5fbfn5SnHX48LQ/INLxww/A2qR2aNIEeKKRdZuNatXM/+7dW+p4HzwodfwePpQvjNWrpR5faKh8yANSH+3NN2VWugkTgFGjDJ+59erJVMJLl0qFxStX5L/Bz09237ixfNW2aJGl/4o8KTRUXm/btsks0/Gpv5LM1Kkjz7tWLQkjatSQ74Q8LZeCaqto2LChGjp0qOHvpKQkVaJECTXZ9HRVBnKzJ/bePaVaNYzOsGvwH78+qkYNyVusUTk+w23XuHdVQUFKFSumVGCgUglwSnfbjdq2ys1NeuA0GqXuoEj626K12aKbCEx3291oZLboEsqoayih9qOe2o1Gahcaq01opVbiGfU1RphtOwiz1WhMU0MwU72Kn9QL+F11xTLVHmtVLRxN96lrNHL2KjhYUutat5ZMg0mT5LT3Tz9JcYHTp7M8INpmooPklPprVVMn9t3pO0rNxQBVrbDJz97kwTer8LQaMsS4OK6WDJTqql2ZKs3hy89iVRCum53p09PpjIPU7leRkl4b3J5WWiSq+fPTbvNPP8n2Tz2llKpaVSlAHdQ8qV7Ebyo01Hzffn5KlcJVdXx/6vyE27clTWAg5qgkN3cV61NUlcZlVaiQhadQo6PlVPQnn0iv3dq1hlW1koshLFpksn1kpFLDhyudVqvG4AsVFKSUzuQUp/7ysHYzBeiUj49579f588ZUE1dXOX38+utKjRghPf0hIXLKMSV9T11a6+ypXVud+hedpHEdO+bN7qXEREkxqF3bmCYEyBkcJaXdemFx6g+CefNypXk3bxofMrOBk9mh08kZc0DeSylPcFnNf/+Z14UDpPxDhw5KffqpjIzKgZgYYwZCyhNvuerSJclD2bTJuOy//8wHPZQpo9Q335jl0CslHzfvv2+syGJ6CQ62TW7248dpn9i0lqtX5YySvrqG8aJTRZ0fqHqeJ1VT32OqWDF5jpXLxatOJY+qRtitmmKHaonNqh3WqdbYqJ7EAVUv+JZq1kw66DM6m2dt+a4nNj4+HgcPHsS4ceMMy7RaLdq2bYvd+p/NKcTFxSHOpPJxZC5OnZKUBOzZp8EmtIYWOjghyexaA4XjEcE4GSHbO0GDrzESTkiCMxINF/3fh2KfRHi4cf8T8LE8DpyQBCfooDXcDtMFmxV87oQ1KIq7cEMcHsEL0fBGNLzxCF5I0LrDzcXY+dsJu+DkrAGcnKB10sDJCYh18cFjF19oXZxQK3k7V1egv8sFOLk6wcVF/k55PdjFdNkbcHUF/E228fWVX7/u7tJZ5Ooqf/v6Gi9eXvbtSMoO5Zp+T+yVt7/CwJ+Bkh4mC71k2lkvPDJMbgAAl9+eji8GnsfVgHrmPchHjmD0B3XxEorjhasmL4pk16/LpAPOTgq+fbsBH+xB27jVmI6RWLf2W/Tvn/o/9MABue5c7hSw7Qzg6oqxdbdgw15ftN9lnDf+5k2ZqStKG4xKtVI/94AA4LnnNJi7ZBAuFWuJ2uoorkWVwoThhhl5M+blJT0uaWjbVjpgNm0Cnn8+eaGPD/DNN5jxeCCm/lgDfVoDmuefl17Yb76Riv+9esHv2H8YUuRP/HDveaxaJTMwKSUnNGJjZarLFStkd5Zo0ECmJM3uxA62UunsKjyNNdA5u0D77bd5883j5CTdj2PHSk/akSPSDd6yJQDpFftlwhOYpx2Al1/RwPXcKenyHjAA+O8/6VrSP68lS2RmjnbtpKdWv1ynk24nd/csN08/VWzduhnMzJcDGo1MqzpzpvSOTZ4MfPmlFXZ84ICcuaiV/MYsXFj+b11d5T91wAA5bWCl01G//SZnRcqUMT9JmOvKlpWeZlNNm8qb89dfgXffle7WESNkasHOnWXiD8jHzWcfxmL8eHdcuACcOSMneFaskLNcTz0lx+btt7P/VnrwQDqLN2yQCRxMpwvv0UPmIalePXv71jt/Xo7HypXS8a5XHDcxpP4+PF9oHcqd+hcu168AiZD5vPUv9DsPgcA66e77f2EDMDDsfwDk5fXmmzlrq9XlUlCdY9evX1cA1K4UCeHvvvuuatiwYZr3mThxogKQ6pIbPbGxsZJns2KFUitXSv7l6tWS175unVSD2rhRSoNs2SKF9Ldvlx+Qu3ZJDvzevTLY6MABKc9y+LDksRw7Jvl7J09KD2RoqOTpnT8vpTgvXZIBKWFhUnLk9m3JkYyIkCT22FjpDMmLnTT5QVQl6f14teS6VOv0I7DLlzdZuHq1ivP0U/+ik2rWzLh4zRrZ9oknUuwkuasoCRpVqWx8qsfYuFHuZ6hFv9jYq/Ve0MI026yv03qsV/JMDZ07q3ffTc4L7HVSRqNERqo9/zuuAClllZ5798zTmn18rFPWZtWqNP7vkiXPIWHsrLtzx7jy44+VAtTtwpWVBkmqa1dZ/PPPch93d8snUtBbv17uW7Vqdp6JjZw/r65ppK7QndfH2rs12abTGUulLV6cvODNN40vKNNSHckD/xSSk7+LFpXTVU5Okoh9/75x29u3LRq5qc+XtPAEX7bp39+urvJ5nS06nXx5dOsmO2vVyvyD/Y8/bNLlp9MZOzq//NLqu7eumBj5/KpUSRr8/PPGdYmJUourRQulRo2SLsw1a1TUwVDV57lYw0urWTP53rWUTiefER07pi66kPLiqolXffuaTIgRF5eqx9hg/34pcbZ9u1KLFqmrb3yqNpfpp/5DE7UFTxnOIDQNSVIPC5VJ+wELFTJP9tbplCpRQkqgVaok+dC1aytVo4ZKLFFK3W32rPrzT+nIzm6ZwuzIdwO7shPExsbGqoiICMMlLCws14JYKrjCBn6k5mCgah+U4lNPp1M7lt5WvnioqlU1/wWhH0FfqZJx2YIFsizVCOmkJKVLnoGpvPOVVN/L+pHVXboYl0UN/0ApQK1Fh1SjcePijCPwY6vWNkSDS5cqFYBbKgnJp3xfekklabRqLD4323da/vvPONPWWCvFU5GRxi8E0xmQIiKMj5XGOA75EnvjDXVmjQwOc3GRSgP6SS2yE6zoKw05OxvqvWcuKUl+0drC2bMqqYQEsKdRRUVcT+dL0EHof0C9oB87mJQktc78/JT69ltZlpgoOUUdOhhHJZpeOnY032nRojIYsF07qVOaxvfA7dsyqAywfQkmnU6pli3lsd57L4t3Dg+X52463F6jkcGzmZUhsYItW+Qhvb3TnZ8g79Hp5I1r+ovVtJBviotOo1FHnnpLeXomx37ah+rfTjOUrnGIDHpr2VKpwYPl13VyjtLduzI+9bWqO9UQzFQzMFRNxTvq0+Iz1KaQD9T9ms1VQo3aKjFROqJ69FBqA9qo8yivfte8pE4Wb6USXZPzm/z9leEXt15aE/YkX076h6h580wGK1eqJK+JGjWkVNo//6SqrZ2X5bsgNi4uTjk5Oally5aZLe/bt696NmVNnXSwOgHlhiNH5HOlePEUK6KNOdKNa5tHkqdPG3PklFJKXbigVveapxpjl3rlldSPoStTRilAhWBnygHe6u23laqC02pdk0lS+Vsp6cIHVBS81L6d5lHXgQPy2GX97itdiRISmd27p86dk+VbtS3NPiw74x+LvnQXLpQ8KtPOsJzSV96ZO9e4TD9o2fQHQHpq1zZ+3wOyP4uDUBM6nXyBA8p8goqMzJ4tDTA1bJhSv/6as9Mid+5ITwqgTqKaqugdnv195RG7dsn/ra9viv+a9P6f4uLk1NPx43LK6vp189pJSUnGqXf1Fz8/KW9nst2sWbIqvdnqrO2vv4wpmxaX93v/fWOkrT+VMGhQ2jOF2MiAAfLQAwbk2kPazuXLcuBHjpSgsVYt40wXH36orl6VYg6f4IN0A8gErYt6vdYew4/sbWie7rbKw8Ps4R82aJPutjd9K6lvvjEWALpQu6u67FJRhaKS+g9N1EJNP7Wk7qfqyrRFqbuKT59Ov0fXAeS7IFYpGdg1TD8Vj5KBXSVLlsyTA7uo4NIHpIUKpVhx757hw6lJQ/MSSPfvGz+7Hj9Whm7Y9WirRo9O40GSi7o+hz9VyipzHToo9SmSJ37X/5JPSlIRLlK/dtkY87MZs2fLpu3ayXbqxAmllFTgcXZWajB+MDRuX6H2CtCpBQuy+7+TM8kldY09dEqpp5+WZR98kPn9p0xRqgn+U05IUCEhOavXWb++PK5Zbd/06GueBQQYSxbt3Ws86K+/nr1oWikJwsaPV5HlaqsA3FI1amRvN3lJfLyx1z0szEo7TUiQvKzvvjPOAgJIfkryLCP6wTCWTHFsDTExxkGY//2XYmVkpPTcjxypzGrszZ8vd2jcWE672GxkWNoePzaexcig+pZj089za5KWtOSry+qEpqYahu/U01ilXsRvaiaGqCuQ3Ck/PFCAdI6v7faDim33jHSxDx8uZST79pXBi0eOmP8Yu39fqbVr1ZWBn6hfm/2g6nufVr54qKrjhKqH/WnGt76+crbi2rVc/5/JNfkyiF20aJFyc3NTCxYsUKdOnVKDBg1S/v7+6qaFBc4YxFJuuHQqRvnjvvJ3T3FaLzxcKUgua4vmJh9iN28qXZs2arOmlfGUeHLl/gXoq6ZMSeNBevdWClAj8HWqkcFlyyoViuT8L5Oh/D93XaIaYbca9oZ5sKTvVXn//dQPU6WKUoG4qZJcXJVyclLNCp9UgORq28O2bdLWwED5HggPN6YS6DudMxL9ptS4nV3+ixwXnNdXKPjsMws2Hj5cNq5e3RisRkVJmQ19r1rbthmPGL98WZJ+Bw+WHMgUCWrz5iameRbdUeknZjMddG41SUnSDapP3t64UYWHy6Eog0vqyqHkwDA62uan5195RZpgKLwTEyMzrOkjRUASEvWiouw69deSJdKkUqWsMzmMIzl1Uqd69pQqOR06SMpWzx469d7L19SCBdZJQYmLkxNnf/yh1PjxknJQt678ZmnTRjJhHCaFIwfyZRCrlFIzZsxQpUuXVq6urqphw4Zqz549Ft+XQSzlhpj2MhPBQM1c8xWXLysFqMdwk15PPX1NH0BpkCQB4siRSgFqCt5Nu9czef00jDabUjYmRikfRBq//ExGVP3+uyxq0sR8V7VrK6VBklr6d+pTtV26yH2WjN6l7v2z03Aq3l6z3MTFKUOO2tGjMqhE3yllkeQebp2bm0o1g0QWffaZPHZaZc7MHD1qjLT1036Z+ucf4+lLNzcJUrdtM65/+FCpJ59M+5Tjq68agqxJk2TRwIE5elp5hn6iCZuW9YmIUOrXX9X+/fqgWacO+TSX/NmQEOkO9vCQgTA2quGnH+BVrGiiSvzxJxlopD++ZctKqoAFs1Lllu7dpWljxti7JZSfWRqv5ULpd+saNmwYrly5gri4OOzduxeNGlm7wjJRzji5SYVsZxWPxESTFcmVpuPgBjc3k+XJJbYAwB2xuH0bkH+A2whMNdEBAKBpUxys2RcHUB8XLhgXnzsnxe4BQAUESJmdZHXqyPXRo1KBCJAJEY4fB1pjM54dUlKKgpvQl9bakRiCg25NAEhB8HQnLLAxV1dDJSa89BLw449yu18/C3fQty/QsSM0cXFS5ygpKdtt0ddiP3Mmg41CQ4GOHeVxunaVOmEpPfMMsHMn0Ly5zPgxe7ZUwtfTaqVujlYrpYPeeQcYMkTW7dgBHDsGwDjxRXBwtp9SnlKlilyHhtpm/0lJwLrdvnhlbR+EhMgEBHWK30bVgPtSO2r3bpkB5vFj4KOPpOr73r1Wb0ebNkDRosBvd9vDadAAqZFXurS8Bs6fB+bMkddGHvDgAfDvv3K7Tx/7toUIABwuiCXK67TuUifWFfFm9Xr1QWw8XM2DWA9j0VhDrdjMgtiePXF89EIsxgtmQVRoKFAF8q2v0UcBySpXBnq4/IMvHw3G9X+kmOCWLdLl06voVjjdCpcv7xT3AeQLPjlWQu3amf8f2NLUqUBQEHDypLTLzc2kbmxmNBoJCnx8JEiZOTPb7ahaVa7PnJH/w1TOnZMCtOHhUrtz7tz0d1anjkyrs2ED8MILxlqfgPzImTdPivT+95/MrPT99xLA1qgBfXFhBrGWUwp48UX5ffHrrxKr9uoFbD5ZDB5nDsvCefOAixdl1sVy5eSOpkU+t2wBZs2SusZvv208AGm+GFJISJBoUCm4uMhjn0VlRLkUksKkoaHyg8vJyfpPPgeWLJGPMf2MTkT25jCTHRA5ipRBrKGjNTmiTRXEOjlJUfbY2OQgNgDq1i1oANxCsbSDWBh7Ak+fNi4zDWKRIoh1dgaGeP+MNg+W4MSiYAR3fRIbN8q6di5b5Ia+mzOZaRAbECC37f3lVaOGzCrZqRNw6pR0cBYqlIUdlC4tgeDgwcCYMRIFv/FGlquZV6wo/6fR0cC1a2kEj/7+Mu1q0aIyQ4P+PzA9Go301KbsrdVqgVdfTb19s2ZySZbfgljT1561rV4N/PWXTLoyaBDw8ssyA7i8BFzMuxnLlZNq/pcuAaVKybJDh6Ro/uPHxu1+/FF2cvmybKvVytSoP/wALFoEFCsm0yTfuiU/pG7cALZvB5o3x5AhwDOzx2FcwmSsauSPZlmfoyFX/PabXLMXlvIK9sQSWVm6PbH+/jhety+Wood5EAsYIl1PxODWLUDdyqQnFkDVcnEoh4sIv6FDRPLMb6GhQGUkf+unCGIB4Ga1lvJwu9YDkNjKE49Q9vY+2aBVK7Pt9bu4dMk4q5e9g1hA4tCdO6Uj7Ntvs7GDgQOlBy0+XlIo9BFgFri4SCALAKdPJAGjR8u3+4wZkq8REABs3mxZAJtDSuW/IFb/2rt8GebvoxzSH3JAJnGaORNo3DiT3zAuLhJV6/NoHjyQHyn16gETJsjUTnFxEpRevQqcOCHbPX4MTJwoOTsbN8oPp4kTJYAtVkx61yGTjXUYWBoR8MfIkcZ0n7zk6lU5WQBILzZRXsCeWCJrczUGsbGxJsvLl8ffzy7ER4eBwWkFsffuGdIJrn+2EB+8fhN3fSukDngBICEBfkGeuAgdAnELZ84EolEjCWKXYi4Cv3wPbV8omupuSR2fgW7XWyh3dTuubb+I8+fLo6N2J7RJiRIZli1rtn3x4pIKGB0tvZ5A3ghiAYkhBg/O5p21Wukda9hQAszSpbO1m6pVJZ3AZf6PwF9fy8Ldu4G33pLbNg5e9SIi5BgBxs5CR1esmExVHBkpqaE1alhnv99/L727gYHA+PHZ3EmbNhKI6ikFbN0qDW3Y0NjYoCDggw/k9XXnjkx36uEhP6J69jR8VgDAxx8Df/whPxZ/+SULed655I8/5Pqpp7L9diGyOgaxRNbmmk5PLIw9SqkCU29vxHoXgTZah9u3gUuV2uMXAJWKpfMYLi4SIN26hZK4jtOnA9GwoQSxMfBCUMc6QMnUd2vUuww2TmiH9liP3a//BOAzvFh8C3AD0gubojtKo5EOKP183D4+Mld6vqDRSO+pqWvXJHpycbFoF9WqAbuW30KjFeNkwfPPA/XrW7mhmdP3whYpYr9Bd9am0Uhv7P798rq2RhCbkCBz1QPA559LkGwVGo28f1KcyQAATJpkvP3ee+nuolgx4P33gXHjZMzhzp3AyJEyNjMhQX4shYXJj8rChSVW9vGxUvst8Ouvcs1UAspLmE5AZG316mGp+4s4ijrmQWxCAnTRMdAiKXUQe/Ag/lt2F/vQCLduGcZ1oVh6QSwAlJQoVYJYOTMZGSmdjPrT3ClVqQLc7T4QAND03Hw4IREdEv6RlWl9AcOYmwjIgA5tfv3UOHtWziuPGGHxXapVA77EO/CMj5BTy7/9JtUDcll+SyXQs3Ze7KFDkglQpAjQv7919mlNI0fKuD6dTsYBVq8uZ0OCg4F27SS47d1b0qZLlJAiFQcPWjaWLCeOHZMMCVdXSeslyiuy9XWUmJiIjRs3Ys6cOYiKigIA3LhxA9H681lEBVmfPhhV7HcswovmQeyqVZgy0wvb0SJ1EOvubsh9db5xFa6/L0BzbEfx4hk8TvJ541K4htOnZWB7XRzCYv834LZoYbp367nwWdxzCkAJhONprMa9tz6SkVEdOqS5fcogNt86d07KG/3wA7B4sUV3ecrpP7yCX6GDBnHfzrbbaPL8GsRau0LB9u1y3bx5nhv4D0DO0PzxhxSeaN7c2Kvu5CT/Fx06AC1ayNmQ6GjJCa9fX96jH38sP2JtYd48ue7cOYuDKIlsLMtB7JUrV1CrVi107doVQ4cOxZ07dwAAU6ZMwTt26IEgyov0QapFJbaS6Xtdqz7YjWeXvYpP8CE6dcrgQZKD2DK4gtOnJd2uIfbhufs/ytDr9Nrm44r4F/rhFKrB1weo+F5PGbmVTsRsGsTmlXxYm+jcWc7lApKzaEH3X/CvnwMA/ofXsScx99MI9BjEWkYfxLZoYZ392UqzZtLWR4+knm1cnKQTrF0rg6suXZLxgr17S4rt+fMyXqxiRRmo9uCB9dpy5oz8rgPkbUGUl2Q5iB0+fDjq16+PBw8ewMOkvmX37t2xadMmqzaOyCEpBS/XBLgizvIgdt8+BPbtiIXohwBILsEdbTH07JnB4yQnCdbBUVy8KF9w6ZXXSinof58g/tBJfLj/WUnh9fNLd9sCE8QC0p3VogUQFSXFO01LKKVB88svWFFtLD7GBGzdmjtNTAuD2MwlJUkPJ5D3g1hTWm3qXmONBmjdWk4Y3L4tA8EqV5axY2+9JenybdoAH34ILFuW6cs4XUoBw4ZJTm7nzlJXlygvyXIQu2PHDowfPx6uJqMqAaBs2bK4fv261RpG5LC++QaHTrhiHl4zr06QHNGmmrELABIToVm/Di212xGYHMR6lwvMKLYE6taVK80R6HTyRfWEe/K3vWnkmRZ3dzxRV5NZrGvYlbOzjHXK1+kEgDzRP/6QKODYMWD48Iy3L1IEt0ZMxnWUShXE6nSGeQhsLr8Gsfrc7vv3U83DkWUnTkgVBx8f4+x1+YG3t9S5PXFCqrvVqCEB++bNwKefAj16SMqBaTEFS/36q/T4urlJKbssllImsrksB7E6nQ5JaUzVeO3aNfjk5lBJorwqveoEGfXEJpe2KqELQ0nIj8EyDdMpEKtXqxbQuzeWlXobWsh7spabZT2xWeHnB/z9t1wyDKrzixIlgN9/l2/suXPTzo998MAwmkY/P8Tu3TD70fLWW1JhadUq2zc5vwaxXl7Gck457Y3VpxI0bSq/VfIbFxfpNT1xQtILvv9eBoIFBkp5vObNJQ0hPUpJWvjq1ZKS0KyZTBoGSJZNhQq58zyIsiLLQWz79u3xzTffGP7WaDSIjo7GxIkT8fTTT1uzbUSOKTtBbPHigKsrnJGEujgMAKjUJJMg1tsbWLwYB9qOhQ5OcEUcikRdlnVWDGIB4NlngS5drLrLvK1tWzkX+8wzMizclFKyvlUr4Nw5VKokwWpcHLB3r2xy5gwwe7ZsOmmSbUePKyWVwYD8UyPWVFoz02WH6aCu/K5CBalc8NNPMrtd+fIyg26LFjJ5hKnwcKk0V6mSnHXp3Fl+gO3cKcH+q69mWBmMyK6yHMR+9dVX2LlzJ6pXr47Y2Fi89NJLhlSCKVOm2KKNRI4lO0GsVmsowFoXRwAAziUzqq9lpP+Sb+F7FBqdTopfZljWgCwyYQKwYoUU5TS1fLnUajp4EChUCBqNsTdWn1IwaZJx1qWDB4EtW2zXzLt3jT3AJdOoDezo9K9v/WQb2aGU4wzqsrZy5SQXuGpV+bHTtq0EroCcJahdG/j6a+DCBfnoeuIJ+dH6yScyS9e8eTIrNlFelOWTKqVKlcLRo0exaNEiHDt2DNHR0RgwYAD69OljNtCLqMBKL4itVAlbCvfAgfv10SatWbjKlpXzeXrpzTdrSqdDj1oXsN77Ht5udRL411nq8DB5LedMR9MoJedZmzWT4BaQerJFZVa0li0llXbVKiAkxJiB0LatzDY6daoMxLEF/SnioKA0JtHIB6zRE3v2rAyAcnMDGjSwTrscSYkS8jps3lyC1erVJTBNnvUWdepIdYN27eQED5GjyFZmkLOzM15++WVrt4Uof0hv2tnu3fHOp91x6D7wdHpBLCDfNAMHStdJZjZsQIVOHbGhShVg+RngQQ8ZvULWo5ScU124UL75Y2MlOXjUKMMm+nkiDhwwltt9/nmZFapSJWDdOuDoUdsMKNIHd/pgL7+pXl2ucxLE7tkj1w0a5M9A3xIlS8ogrRYtjOkngEywMHlywf1/IceW5SD2559/znB9X30mOFFBlZ1pZwEJYgsXlojolVcse6wnnpDrs2el+nmhQqxGbm0ajSQE795trB07erTZ/3OlSjIY5pdfgH37pEj9pEmSi9irl/TMzp0r21ib/jR7fg1i9c/ryhV5iWenp3DfPrlu1Mh67XJE5crJALmjR+U1Wrx4JrMCEuVxWQ5ih6coOZOQkICYmBi4urrC09OTQSxRiRI4WuZZbL9S2TyI1ekQF6sBoEk7iB07ViZPz4pixeSb6OZN4PhxOZdN1tezJ9C9u6QUnD8vo2ZSGDpULvfvS4mjgABZ3qWLBLHHjtmmafoeSn2PZX5TpIj8X965IwFYvXpZ34c+iG3Y0Lptc0SenvyYoPwjywO7Hjx4YHaJjo5GaGgomjVrhj/++MMWbSRyLPXqYV7XFRiDaeZB7OjROHdBi08wPu0gVquVYo7z52dtJJC+N7ZJExkWT7ah1Uq1ghEjDL3taSlc2BjAAtYbXZ+e/J5OAOTs/zA2VnoeAQaxRPlNloPYtFSqVAlffPFFql5aooIqzWlnExIAADpo088/O3hQiju++67lD+blZbxdokSW2km2p692dveu9CZaU2yslE4C8ncQq+9lzk6FgiNH5K0XGGgoAEJE+YRVglhABnvdyM6UIET5kASpKs0gNgEu6Qexzz4r1ymTaTMydKhc9+gh5bUoT/HyMgZP1u6NPXtWSnkVKpS/cxtz0hNrmkrAoh1E+UuWc2JXrlxp9rdSCuHh4Zg5cyaaNm1qtYYROaxjxzBpcn28iaKYGGvyw86SIFbv0SPLH69VK8mHLV8+622lXFG9ugxMOn3aunVKTVMJ8nOAZq0glojylywHsd26dTP7W6PRICAgAK1bt8ZXX31lrXYROS5nZzglJaSqTqASEqCBhUFsTEzWHrNmzay2knJRtWrAmjXW74nVn17Pr4O69PTP7/x5mTMkg5TkVPSzqDGIJcp/shzE6vTT0BBR2tIpsaXiLAhiX34Z+PXXrFcpoDzNVoO7CsKgLkBSvX18gKgomQ+kRg3L7nf/vgS+QMGc5IAov7NaTiwRJUsniNXFWZBOMHeudB0NG2bjRlJussbUqWkpKEGsRmN8jkeOpF6v0wGJiamX61MJKlVKPXswETk+i3piR5nMTJOZr7/+OtuNIcoXTIPYWAVAkhXja9TFxpWPcAVl0g9i3d153jMf0gdg165Jb6KPT873mZgodVOB/J9OAMi0vfv2AdOmAS+8ILMCP3woE0h8843MALx1q5RNBmSitW+/ldscrkGUP1kUxB4+fNiinWny88gCIkslB7FaKCTEJkH/Nns4bDw6TZZyo87ZmvCZHFXhwlI94NYtKeVrjVPbFy/KWEFPTyA4OOf7y+veeQeYNUtqvv72mzznnj2BBw9k/b17UsZ32zapCLF8ObB2rbwdmZ1DlD9Z9FW6JSuF14kKOpNRJ0mP46F/m2U45Szle9WqSRB7+rR1glh9Af+qVeWHUX5XpIgEo++9J7P+RkbKIK/q1aXK3IQJUma5e3dg+HCZkwIAxoyRdAIiyn8KwEcfUS5zc8PdOq2xBh0RH6cMixnEFmzWHNylFDB9utxu1Srn+3MUb70FlColE0fEx0tP7MGDMgvwypXy3tqwQXpkr16V+rzjxtm71URkK9k6qXngwAH8+eefuHr1KuLj483WLV261CoNI3JYLi449vUmPN0GqGEy2KTUK60Qhf14E4sAPGO35pF9WHNw1/r1wO7dkkI9enTO9+coPDwkB/aVV4BXXwW+/lpyYwGZdXnTJmDOHGDPHpnBec4cSbcgovwpy0HsokWL0LdvX3To0AHr169H+/btcfbsWdy6dQvdu3e3RRuJHE6a084+ioY3HsHZxS5NIjuzVk+sUnLqHJAeyKCgnO3P0XTtKnmw+uDVVNOmHMRFVJBkOZ3g888/x/Tp0/HPP//A1dUV3377Lc6cOYPevXujdOnStmgjkcNJM4hNnrFL48IotiDSVxC4cCFrswqntHq1jNL38JB8z4IorQCWiAqeLAexFy5cQOfOnQEArq6uePToETQaDUaOHIkff/zR6g0kckS1uldAFLxRMjrUuFAfxLoyiC2IgoIAX1+paXruXPb3M3++XL/5plQ8ICIqqLIcxBYqVAhRUVEAgJIlS+LEiRMAgIcPHyImq1NlWujy5csYMGAAypUrBw8PD1SoUAETJ05MlY9LlFc4xT6CNx7J6BM9BrEFmmnB/uymFCQmAhs3yu3eva3TLiIiR2VxTuyJEydQs2ZNtGjRAhs2bECtWrXQq1cvDB8+HJs3b8aGDRvQpk0bmzTyzJkz0Ol0mDNnDipWrIgTJ05g4MCBePToEb788kubPCZRjujLbJkEsZpECWK1bgxiC6pq1WRCtuwO7tq7F4iIkLqz9etbt21ERI7G4iC2du3aaNCgAbp164ZevXoBAD744AO4uLhg165d6NmzJ8aPH2+TRnbs2BEdO3Y0/F2+fHmEhoZi1qxZDGIpb9LnvSbEQynphdMHsRoGsQVWTnti162T67ZtmRdKRGRxELtt2zbMnz8fkydPxmeffYaePXvi9ddfx9ixY23ZvnRFRESgcCaTYcfFxSHOZARFZGSkrZtFBADQuBmnnk1IkI7Z2+UbI+z+LSR4+Nm5dWQv+sFdOQ1iTX7TExEVWBbnxDZv3hzz5s1DeHg4ZsyYgcuXL+Opp55C5cqVMWXKFNy8edOW7TRz/vx5zJgxA2+88UaG202ePBl+fn6GS3BBmJuR8gTTIFb/O2rd60vQAjtwv3BFO7aM7EnfExsaCiQlZe2+9+4B+/fL7fbtrdsuIiJHlOWBXV5eXnj11Vexbds2nD17Fr169cL333+P0qVL49lnn83SvsaOHQuNRpPh5cyZM2b3uX79Ojp27IhevXph4MCBGe5/3LhxiIiIMFzCwsKy+nSJssU0iI2NlWWcsYvKlpXjHxcHXLqUtftu3Cg1YmvWBEqWtEnziIgcSrZm7NKrWLEi3n//fZQpUwbjxo3Dv//+m6X7jx49Gv37989wm/Llyxtu37hxA61atUKTJk0sKufl5uYGN0YMZAeaunWx44AHIuBnCF4ZxJKTE1ClCnDsmKQUVMxCp7w+laBDB9u0jYjI0WQ7iN2+fTvmzZuHv//+G1qtFr1798aAAQOytI+AgAAEBARYtO3169fRqlUr1KtXD/Pnz4dWm+VOZKLc8+OP6PQ78OiRMXh986NieAUaTNceBcACnwVVtWrGILZLF8vvt3evXLdubZt2ERE5miwFsTdu3MCCBQuwYMECnD9/Hk2aNMF3332H3r17w8vLy1ZtxPXr19GyZUuUKVMGX375Je7cuWNYV7x4cZs9LlFOuLubBLFKwfvRbXgD8PHjD7CCLDuDu5Qyph9UqWL9NhEROSKLg9hOnTph48aNKFq0KPr27YvXXnsNVXLp03TDhg04f/48zp8/j1KlSpmtU0rlShuIskqfNhAbC8NEBwDgXYgltgqy7JTZunULePwY0GoBzu5NRCQs7hJycXHBkiVLcO3aNUyZMiXXAlgA6N+/P5RSaV6I8qQ33sCRW8XRH/MRGQkGsWSgD2JPnZIeVktcvCjXwcHGEsRERAWdxT2xK1eutGU7iPKXyEgEJN2CD6Lw8CHMglifwoxCCrJKleQ6Kgq4exewZFiAPog1GedKRFTgMTmPyBZcjSW2HjwAg1gycHMDiiWP67O06p8+H7ZcOdu0iYjIETGIJbIFkyDWtCc2EU7w89fYr12UJ+jzWq9etWx79sQSEaXGIJbIFlL2xDo54aBzQxxAffj727VllAfoJw+0tCeWQSwRUWo5muyAiNJhEsTefAiowGJojL1IBBDmZ9eWUR7AnlgiopxjTyyRLaToiX38GEhMlFV+DGILvKz0xMbFAdevy23mxBIRGTGIJbKFUqVwt3RdhCMIDx8CERGyWKsFvL3t2jLKA7LSE3vlipTi8vKyrJIBEVFBwSCWyBbeegvbvj6ErzFaemL3HsMVlMZOTTNoOK6rwMtKT6xpKgFfO0RERsyJJbIR/QCuhw+BmLsxqIkwaDRO9mwS5RH6ntgbNyTNxDmDT2J9EMtUAiIic+yJJbKRQoXk+sED4FGElNjSaVkjlqROrIsLoNNJIJsRfY1YDuoiIjLHIJbIFn77DbW6V8APeBMPHwKP9UGsM4NYktzoUqXkdmZ5saxMQESUNgaxRLbw6BFcrl5EEMIREwNE3kuesSuj88ZUoOhTCjLLi2U6ARFR2hjEEtmCSYktALgbrg9i2RNLQj+4K6OeWKWYTkBElB4GsUS2kBzEejhL8Hr3ZnKRWBcGsSQs6Ym9cEHKs7m6MoglIkqJ5zaJbCE5iPV0igcSgav3vHACNZBUlJEICUvKbO3YIdcNGgDu7rZvExGRI2FPLJEt6HtinSSd4M8H7VALJ7C+32/2bBXlIZZMeKAPYps3t317iIgcDYNYIltIThtw10oQe+eOLOaUs6RnSU/s9u1yzSCWiCg1BrFEtuDnB1SujPs+ZcwW6ydAINL3xN67B8TEpF4fHi45sRoN0LRp7raNiMgRMIglsoUmTYDQUPzYcSkA4AX8gVOohoaLRtm5YZRX+PkBPj5yO63eWH0qQZ067MEnIkoLg1giG9LP2hWAO6iGM/COymR6JipQ9LVfQ0NTr2MqARFRxhjEEtmQPn3ABVJqy8WdBUHIqG5duT54MPU6fU9sixa51x4iIkfCIJbIFi5eBOrUwevzmwAAnCF1Yl08WSeWjBo0kOsDB8yXP3wIHD8ut9kTS0SUNnYLEdlCUhJw7BiKePgCMPbEunoxiCWj+vXlev9+mZ1Lo5G/t2+XvytXBooVs1/7iIjyMvbEEtlCcp1YpyQpsaUPYp3cGcSSUZ06gLOzlGAzHdy1YYNct2ljn3YRETkCBrFEtpAcxGoTzYNYjSuDWDJydwdq1ZLb+/cbl2/cKNft2uV+m4iIHAWDWCJbSA5iNTodtEhCBPxwzbkMULSonRtGeY0+pUCfF3vtGnDmDKDVAq1a2a9dRER5HYNYIltIDmIB6YWdivfQtfZlYPx4+7WJ8qSUg7v0vbANGnByDCKijDCIJbIFkyDWFZJSwIL1lBbTnliljEFs27b2axMRkSNgdQIiW3BxAUqUgHJzg+e1REQlMIiltNWsCbi5SVmt8+cZxBIRWYo9sUS2oNUC169Dc/EiULgwJmEivt5RH/jlF3u3jPIYFxfgiSfkdq9ewK1bgKcnEBJi12YREeV5DGKJbMzfH6iACyh37yBw+7a9m0N5UOfOcn30qFw/9ZT0zhIRUfqYTkBkY4UKGUtswYUltii18eMlkD1wALhwAXjtNXu3iIgo73O4IDYuLg6NGjXC0aNHcfjwYTyhPw9HlNd07gzcuoVqnosYxFKGNBrgySflQkRElnG4dIIxY8agRIkS9m4GUeaOHgUOHkTLJyPhpmUQS0REZE0OFcSuWbMG69evx5dffmnvphBlztMTAND3uRh0asMgloiIyJocJp3g1q1bGDhwIJYvXw7P5OAgM3FxcYiLizP8HRkZaavmEaXm5SXXjx5Bm8QgloiIyJocoidWKYX+/ftj8ODBqK+vDG6ByZMnw8/Pz3AJDg62YSuJUtAHsdHRUiS2aFFD7ywRERHljF2D2LFjx0Kj0WR4OXPmDGbMmIGoqCiMGzcuS/sfN24cIiIiDJewsDAbPROiNJj0xGLpUuDOHaBbN7s2iYiIKL+wazrB6NGj0b9//wy3KV++PDZv3ozdu3fDLUXhxPr166NPnz5YuHBhmvd1c3NLdR+iXOPtLdePHtm3HURERPmQXYPYgIAABAQEZLrdd999h08//dTw940bN9ChQwcsXrwYjRo1smUTibKvSBEgIEBm7yIiIiKrcoiBXaVLlzb72zu5h6tChQooVaqUPZpElLkff5QLALz8MhAWBnz7rXGOUSIiIso2hwhiiRzevn3AuXMyyIuIiIhyzCGD2LJly0IpZe9mEFkugSW2iIiIrMkhg1gih7BkCTBjBtCqFYNYIiIiK2MQS2Qrt28D27fL4C4GsURERFbFYdNEtmI62QGDWCIiIqtiEEtkK6aTHTCIJSIisiqmExDZimkQ6+kJJCUxiCUiIrISBrFEtmIaxN66Zd+2EBER5TNMJyCyFdMgloiIiKyKQSyRrXh7A+7uciEiIiKrYjoBka1UqQI8fiyX9u0BZ2dg2TLAzc3eLSMiInJ4DGKJbC0uDtiwQW5rNPZtCxERUT7BdAIiW9OX1wJYnYCIiMhK2BNLZEs9egCnTsltJyf2xBIREVkJg1giW9qyBXj4UG6zF5aIiMhqmE5AZEv6MlsAg1giIiIrYhBLZEve3sbbDGKJiIishkEskS2xJ5aIiMgmGMQS2ZI+iP3zTyA83L5tISIiykcYxBLZkunUs6xMQEREZDUMYolsycsLcHU1rxVLREREOcYglsiW/vwT2L8fWL0aGD3a3q0hIiLKN1gnlsiWtFrJhV2+HHjiCXu3hoiIKN9gTyyRrelTCVidgIiIyGoYxBLZ0t9/A126yG0GsURERFbDIJbIli5dMt5mEEtERGQ1DGKJbMl0sgNnpqATERFZC4NYIlvitLNEREQ2wSCWyJY47SwREZFNMIglsiV9EFutmtSMJSIiIqtgEEtkS/p0goQEwN3dvm0hIiLKRxjEEtmSvic2Nta+7SAiIspnGMQS2VKtWpJG8NRTwLx59m4NERFRvuFQQey///6LRo0awcPDA4UKFUK3bt3s3SSijDk5AWfOAL/9Buzda+/WEBER5RsOU7jy77//xsCBA/H555+jdevWSExMxIkTJ+zdLKLM6aedZZ1YIiIiq3GIb9XExEQMHz4c06ZNw4ABAwzLq1evbsdWEVlAKeCTT+T248f2bQsREVE+4hDpBIcOHcL169eh1WpRt25dBAUFoVOnTpn2xMbFxSEyMtLsQpSrNBrj7UeP7NcOIiKifMYhgtiLFy8CACZNmoTx48dj1apVKFSoEFq2bIn79++ne7/JkyfDz8/PcAkODs6tJhOlFh9v7xYQERHlG3YNYseOHQuNRpPh5cyZM9DpdACADz74AD179kS9evUwf/58aDQa/PXXX+nuf9y4cYiIiDBcwsLCcuupEaXGIJaIiMhq7JoTO3r0aPTv3z/DbcqXL4/w8HAA5jmwbm5uKF++PK5evZrufd3c3ODm5maVthLlGINYIiIiq7FrEBsQEICAgIBMt6tXrx7c3NwQGhqKZs2aAQASEhJw+fJllClTxtbNJMqZ6tWBU6eAgQPt3RIiIqJ8wyGqE/j6+mLw4MGYOHEigoODUaZMGUybNg0A0KtXLzu3jigTRYvauwVERET5jkMEsQAwbdo0ODs745VXXsHjx4/RqFEjbN68GYUKFbJ304gy5u0t16xOQEREZDUapZSydyNyS2RkJPz8/BAREQFfX197N4cKiqgomejA3d285BYRERGlYmm85jA9sUQOy8fH3i0gIiLKdxyiTiwRERERkSkGsURERETkcBjEEhEREZHDYRBLRERERA6HQSwRERERORwGsURERETkcBjEEhEREZHDYRBLRERERA6nQE12oJ+cLDIy0s4tISIiIqK06OO0zCaVLVBBbFRUFAAgODjYzi0hIiIiooxERUXBz88v3fUalVmYm4/odDrcuHEDPj4+0OTCHPaRkZEIDg5GWFhYhnP/Ut7C4+a4eOwcF4+dY+Jxc1x5+dgppRAVFYUSJUpAq00/87VA9cRqtVqUKlUq1x/X19c3z71AKHM8bo6Lx85x8dg5Jh43x5VXj11GPbB6HNhFRERERA6HQSwRERERORwGsTbk5uaGiRMnws3Nzd5NoSzgcXNcPHaOi8fOMfG4Oa78cOwK1MAuIiIiIsof2BNLRERERA6HQSwRERERORwGsURERETkcBjEEhEREZHDYRBrI99//z3Kli0Ld3d3NGrUCPv27bN3kyiFSZMmQaPRmF2qVq1qWB8bG4uhQ4eiSJEi8Pb2Rs+ePXHr1i07trhg2r59O7p06YISJUpAo9Fg+fLlZuuVUpgwYQKCgoLg4eGBtm3b4ty5c2bb3L9/H3369IGvry/8/f0xYMAAREdH5+KzKJgyO3b9+/dP9R7s2LGj2TY8drlv8uTJaNCgAXx8fBAYGIhu3bohNDTUbBtLPh+vXr2Kzp07w9PTE4GBgXj33XeRmJiYm0+lQLHkuLVs2TLVe27w4MFm2zjScWMQawOLFy/GqFGjMHHiRBw6dAh16tRBhw4dcPv2bXs3jVKoUaMGwsPDDZf//vvPsG7kyJH4559/8Ndff2Hbtm24ceMGevToYcfWFkyPHj1CnTp18P3336e5furUqfjuu+8we/Zs7N27F15eXujQoQNiY2MN2/Tp0wcnT57Ehg0bsGrVKmzfvh2DBg3KradQYGV27ACgY8eOZu/BP/74w2w9j13u27ZtG4YOHYo9e/Zgw4YNSEhIQPv27fHo0SPDNpl9PiYlJaFz586Ij4/Hrl27sHDhQixYsAATJkywx1MqECw5bgAwcOBAs/fc1KlTDesc7rgpsrqGDRuqoUOHGv5OSkpSJUqUUJMnT7ZjqyiliRMnqjp16qS57uHDh8rFxUX99ddfhmWnT59WANTu3btzqYWUEgC1bNkyw986nU4VL15cTZs2zbDs4cOHys3NTf3xxx9KKaVOnTqlAKj9+/cbtlmzZo3SaDTq+vXrudb2gi7lsVNKqX79+qmuXbumex8eu7zh9u3bCoDatm2bUsqyz8fVq1crrVarbt68adhm1qxZytfXV8XFxeXuEyigUh43pZR66qmn1PDhw9O9j6MdN/bEWll8fDwOHjyItm3bGpZptVq0bdsWu3fvtmPLKC3nzp1DiRIlUL58efTp0wdXr14FABw8eBAJCQlmx7Fq1aooXbo0j2MecunSJdy8edPsOPn5+aFRo0aG47R79274+/ujfv36hm3atm0LrVaLvXv35nqbydzWrVsRGBiIKlWq4M0338S9e/cM63js8oaIiAgAQOHChQFY9vm4e/du1KpVC8WKFTNs06FDB0RGRuLkyZO52PqCK+Vx0/vtt99QtGhR1KxZE+PGjUNMTIxhnaMdN2d7NyC/uXv3LpKSksxeAABQrFgxnDlzxk6torQ0atQICxYsQJUqVRAeHo6PPvoIzZs3x4kTJ3Dz5k24urrC39/f7D7FihXDzZs37dNgSkV/LNJ6v+nX3bx5E4GBgWbrnZ2dUbhwYR5LO+vYsSN69OiBcuXK4cKFC3j//ffRqVMn7N69G05OTjx2eYBOp8OIESPQtGlT1KxZEwAs+ny8efNmmu9L/TqyrbSOGwC89NJLKFOmDEqUKIFjx47hvffeQ2hoKJYuXQrA8Y4bg1gqsDp16mS4Xbt2bTRq1AhlypTBn3/+CQ8PDzu2jKhgeOGFFwy3a9Wqhdq1a6NChQrYunUr2rRpY8eWkd7QoUNx4sQJs/EClPeld9xM88lr1aqFoKAgtGnTBhcuXECFChVyu5k5xnQCKytatCicnJxSjdK8desWihcvbqdWkSX8/f1RuXJlnD9/HsWLF0d8fDwePnxotg2PY96iPxYZvd+KFy+ealBlYmIi7t+/z2OZx5QvXx5FixbF+fPnAfDY2duwYcOwatUqbNmyBaVKlTIst+TzsXjx4mm+L/XryHbSO25padSoEQCYvecc6bgxiLUyV1dX1KtXD5s2bTIs0+l02LRpE0JCQuzYMspMdHQ0Lly4gKCgINSrVw8uLi5mxzE0NBRXr17lccxDypUrh+LFi5sdp8jISOzdu9dwnEJCQvDw4UMcPHjQsM3mzZuh0+kMH+CUN1y7dg337t1DUFAQAB47e1FKYdiwYVi2bBk2b96McuXKma235PMxJCQEx48fN/sRsmHDBvj6+qJ69eq580QKmMyOW1qOHDkCAGbvOYc6bvYeWZYfLVq0SLm5uakFCxaoU6dOqUGDBil/f3+z0X5kf6NHj1Zbt25Vly5dUjt37lRt27ZVRYsWVbdv31ZKKTV48GBVunRptXnzZnXgwAEVEhKiQkJC7NzqgicqKkodPnxYHT58WAFQX3/9tTp8+LC6cuWKUkqpL774Qvn7+6sVK1aoY8eOqa5du6py5cqpx48fG/bRsWNHVbduXbV3717133//qUqVKqkXX3zRXk+pwMjo2EVFRal33nlH7d69W126dElt3LhRPfnkk6pSpUoqNjbWsA8eu9z35ptvKj8/P7V161YVHh5uuMTExBi2yezzMTExUdWsWVO1b99eHTlyRK1du1YFBASocePG2eMpFQiZHbfz58+rjz/+WB04cEBdunRJrVixQpUvX161aNHCsA9HO24MYm1kxowZqnTp0srV1VU1bNhQ7dmzx95NohSef/55FRQUpFxdXVXJkiXV888/r86fP29Y//jxYzVkyBBVqFAh5enpqbp3767Cw8Pt2OKCacuWLQpAqku/fv2UUlJm68MPP1TFihVTbm5uqk2bNio0NNRsH/fu3VMvvvii8vb2Vr6+vurVV19VUVFRdng2BUtGxy4mJka1b99eBQQEKBcXF1WmTBk1cODAVD/2eexyX1rHDICaP3++YRtLPh8vX76sOnXqpDw8PFTRokXV6NGjVUJCQi4/m4Ijs+N29epV1aJFC1W4cGHl5uamKlasqN59910VERFhth9HOm4apZTKvX5fIiIiIqKcY04sERERETkcBrFERERE5HAYxBIRERGRw2EQS0REREQOh0EsERERETkcBrFERERE5HAYxBIRERGRw2EQS0REREQOh0EsEZED02g0WL58ub2bQUSU6xjEEhHZSf/+/dGtWzd7N4OIyCExiCUiIiIih8MglogoD2jZsiXefvttjBkzBoULF0bx4sUxadIks23OnTuHFi1awN3dHdWrV8eGDRtS7ScsLAy9e/eGv78/ChcujK5du+Ly5csAgDNnzsDT0xO///67Yfs///wTHh4eOHXqlC2fHhGR1TGIJSLKIxYuXAgvLy/s3bsXU6dOxccff2wIVHU6HXr06AFXV1fs3bsXs2fPxnvvvWd2/4SEBHTo0AE+Pj7YsWMHdu7cCW9vb3Ts2BHx8fGoWrUqvvzySwwZMgRXr17FtWvXMHjwYEyZMgXVq1e3x1MmIso2jVJK2bsRREQFUf/+/fHw4UMsX74cLVu2RFJSEnbs2GFY37BhQ7Ru3RpffPEF1q9fj86dO+PKlSsoUaIEAGDt2rXo1KkTli1bhm7duuHXX3/Fp59+itOnT0Oj0QAA4uPj4e/vj+XLl6N9+/YAgGeeeQaRkZFwdXWFk5MT1q5da9ieiMhRONu7AUREJGrXrm32d1BQEG7fvg0AOH36NIKDgw0BLACEhISYbX/06FGcP38ePj4+ZstjY2Nx4cIFw9/z5s1D5cqVodVqcfLkSQawROSQGMQSEeURLi4uZn9rNBrodDqL7x8dHY169erht99+S7UuICDAcPvo0aN49OgRtFotwsPDERQUlP1GExHZCYNYIiIHUK1aNYSFhZkFnXv27DHb5sknn8TixYsRGBgIX1/fNPdz//599O/fHx988AHCw8PRp08fHDp0CB4eHjZ/DkRE1sSBXUREDqBt27aoXLky+vXrh6NHj2LHjh344IMPzLbp06cPihYtiq5du2LHjh24dOkStm7dirfffhvXrl0DAAwePBjBwcEYP348vv76ayQlJeGdd96xx1MiIsoRBrFERA5Aq9Vi2bJlePz4MRo2bIjXX38dn332mdk2np6e2L59O0qXLo0ePXqgWrVqGDBgAGJjY+Hr64uff/4Zq1evxi+//AJnZ2d4eXnh119/xdy5c7FmzRo7PTMiouxhdQIiIiIicjjsiSUiIiIih8MgloiIiIgcDoNYIiIiInI4DGKJiIiIyOEwiCUiIiIih8MgloiIiIgcDoNYIiIiInI4DGKJiIiIyOEwiCUiIiIih8MgloiIiIgcDoNYIiIiInI4/wdZQEdinHlFGgAAAABJRU5ErkJggg==\n"
},
"metadata": {}
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"Model saved to /tmp/my-checkpoints/vae_checkpoint\n"
]
},
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.11/dist-packages/orbax/checkpoint/type_handlers.py:1330: UserWarning: Couldn't find sharding info under RestoreArgs. Populating sharding info from sharding file. Please note restoration time will be slightly increased due to reading from file instead of directly from RestoreArgs. Note also that this option is unsafe when restoring on a different topology than the checkpoint was saved with.\n",
" warnings.warn(\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7dd98728e750>]"
]
},
"metadata": {},
"execution_count": 113
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
],
"source": [
"import jax\n",
"import jax.numpy as jnp\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import optax\n",
"from flax import linen as nn\n",
"from flax.training import train_state\n",
"from functools import partial\n",
"import flax.serialization\n",
"import orbax.checkpoint as ocp\n",
"from flax.training import orbax_utils\n",
"import orbax\n",
"from flax.training import checkpoints\n",
"\n",
"\n",
"\n",
"# ------------------------------\n",
"# Data Loading and Preprocessing\n",
"# ------------------------------\n",
"# Assume your data is stored in a numpy file.\n",
"data = np.load(\"data.npy\") # shape (1764, 256)\n",
"N_SAMPLES, DATA_LEN = data.shape\n",
"\n",
"class Encoder(nn.Module):\n",
" \"\"\"VAE Encoder.\"\"\"\n",
"\n",
" latents: int\n",
"\n",
" @nn.compact\n",
" def __call__(self, x):\n",
" x = nn.Dense(512, name='fc1')(x)\n",
" x = nn.relu(x)\n",
" mean_x = nn.Dense(self.latents, name='fc2_mean')(x)\n",
" logvar_x = nn.Dense(self.latents, name='fc2_logvar')(x)\n",
" return mean_x, logvar_x\n",
"\n",
"\n",
"class Decoder(nn.Module):\n",
" \"\"\"VAE Decoder.\"\"\"\n",
"\n",
" @nn.compact\n",
" def __call__(self, z):\n",
" z = nn.Dense(512, name='fc1')(z)\n",
" z = nn.relu(z)\n",
" z = nn.Dense(256, name='fc2')(z)\n",
" return z\n",
"\n",
"\n",
"class VAECore(nn.Module):\n",
" \"\"\"Full VAE model.\"\"\"\n",
"\n",
" latents: int = 20\n",
"\n",
" def setup(self):\n",
" self.encoder = Encoder(self.latents)\n",
" self.decoder = Decoder()\n",
"\n",
" def __call__(self, x, z_rng):\n",
" mean, logvar = self.encoder(x)\n",
" z = reparameterize(z_rng, mean, logvar)\n",
" recon_x = self.decoder(z)\n",
" return recon_x, mean, logvar\n",
"\n",
" def generate(self, z):\n",
" return nn.sigmoid(self.decoder(z))\n",
"\n",
"\n",
"def reparameterize(rng, mean, logvar):\n",
" std = jnp.exp(0.5 * logvar)\n",
" eps = random.normal(rng, logvar.shape)\n",
" return mean + eps * std\n",
"\n",
"\n",
"def VAE(latent_dim):\n",
" return VAECore(latent_dim)\n",
"\n",
"# ------------------------------\n",
"# Loss function and training step.\n",
"# ------------------------------\n",
"def vae_loss(params, x, rng, model):\n",
" reconstructed, mean, logvar = model.apply({'params': params}, x, rng)\n",
" reconstruction_loss = jnp.mean((x - reconstructed) ** 2)\n",
" kl_divergence = -0.5 * jnp.mean(1 + logvar - jnp.square(mean) - jnp.exp(logvar))\n",
" return reconstruction_loss + kl_divergence\n",
"\n",
"@partial(jax.jit, static_argnames=(\"model\",))\n",
"def train_step(state, x, rng, model):\n",
" loss, grads = jax.value_and_grad(lambda params: vae_loss(params, x, rng, model))(state.params)\n",
" state = state.apply_gradients(grads=grads)\n",
" return state, loss\n",
"\n",
"# ------------------------------\n",
"# Create training state with configurable latent_dim.\n",
"# ------------------------------\n",
"def create_train_state(rng, latent_dim, learning_rate=1e-3):\n",
" model = VAE(latent_dim=latent_dim)\n",
" # Initialize the model with dummy data of shape (1, DATA_LEN)\n",
" params = model.init(rng, jnp.ones((1, DATA_LEN)), rng)['params']\n",
" tx = optax.adam(learning_rate)\n",
" state = train_state.TrainState.create(apply_fn=model.apply, params=params, tx=tx)\n",
" return state, model\n",
"\n",
"# ------------------------------\n",
"# Training loop.\n",
"# ------------------------------\n",
"def train_vae(train_data, val_data, latent_dim, n_epochs=1000, batch_size=32):\n",
" rng = jax.random.PRNGKey(0)\n",
" state, model = create_train_state(rng, latent_dim)\n",
" train_losses = []\n",
" val_losses = []\n",
" n_train = train_data.shape[0]\n",
" n_val = val_data.shape[0]\n",
"\n",
" for epoch in range(n_epochs):\n",
" # Shuffle training data indices.\n",
" perm = np.random.permutation(n_train)\n",
" epoch_train_loss = 0.\n",
" n_batches = 0\n",
" rng, subkey = jax.random.split(rng)\n",
" for i in range(0, n_train, batch_size):\n",
" batch_idx = perm[i:i + batch_size]\n",
" # Since the train_data is already a JAX device array, slicing is efficient.\n",
" batch = train_data[batch_idx]\n",
" state, loss = train_step(state, batch, subkey, model)\n",
" epoch_train_loss += loss\n",
" n_batches += 1\n",
" epoch_train_loss /= n_batches\n",
" train_losses.append(epoch_train_loss)\n",
"\n",
" # Validation loss\n",
" epoch_val_loss = 0.\n",
" n_batches_val = 0\n",
" for i in range(0, n_val, batch_size):\n",
" batch = val_data[i:i + batch_size]\n",
" loss = vae_loss(state.params, batch, subkey, model)\n",
" epoch_val_loss += loss\n",
" n_batches_val += 1\n",
" epoch_val_loss /= n_batches_val\n",
" val_losses.append(epoch_val_loss)\n",
"\n",
" if epoch % 100 == 0:\n",
" print(f\"Epoch {epoch}: Train Loss = {epoch_train_loss:.4f}, Val Loss = {epoch_val_loss:.4f}\")\n",
"\n",
" return state, model, train_losses, val_losses\n",
"\n",
"# ------------------------------\n",
"# Plotting functions.\n",
"# ------------------------------\n",
"def plot_loss(train_losses, val_losses):\n",
" plt.figure(figsize=(8, 4))\n",
" plt.plot(train_losses, label=\"Train Loss\")\n",
" plt.plot(val_losses, label=\"Val Loss\")\n",
" plt.xlabel('Epoch')\n",
" plt.ylabel('Loss')\n",
" plt.title('Training and Validation Loss')\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
"def plot_reconstructions(state, model, val_data, num_samples=5):\n",
" rng = jax.random.PRNGKey(0)\n",
" idx = np.random.choice(val_data.shape[0], num_samples, replace=False)\n",
" samples = val_data[idx]\n",
" reconstructed, _, _ = model.apply({'params': state.params}, samples, rng)\n",
" reconstructed = np.array(reconstructed)\n",
" for i in range(num_samples):\n",
" plt.figure(figsize=(8, 3))\n",
" plt.plot(np.array(samples[i]), 'b-', label='Original')\n",
" plt.plot(reconstructed[i], 'r--', label='Reconstruction')\n",
" plt.xlabel('Index')\n",
" plt.ylabel('Value')\n",
" plt.title(f'Sample {i}')\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
"\n",
"\n",
"# --------------------------------------------\n",
"# Save and Load Functions with Orbax\n",
"# --------------------------------------------\n",
"\n",
"def save_model(state, config, filename=\"/tmp/flax_ckpt/MODEL\"):\n",
" \"\"\" Saves model parameters and config using Orbax CheckpointManager \"\"\"\n",
" checkpt = {'state': state, 'config': config,}\n",
" checkpoints.save_checkpoint(\n",
" ckpt_dir=filename,\n",
" target=checkpt,\n",
" step=0,\n",
" overwrite=True,\n",
" keep=2\n",
" )\n",
" print(f\"Model saved to {filename}\")\n",
"\n",
"\n",
"def load_model(filename=\"/tmp/flax_ckpt/MODEL\"):\n",
" \"\"\" Loads model parameters and config using Orbax CheckpointManager \"\"\"\n",
" raw_restored = checkpoints.restore_checkpoint(ckpt_dir=filename, target=None)\n",
" return raw_restored[\"state\"], raw_restored[\"config\"]\n",
"\n",
"\n",
"# ------------------------------\n",
"# Generation function using the separate Decoder.\n",
"# ------------------------------\n",
"def generate_signal(state_params, latent_dim, rng_seed=42):\n",
" rng = jax.random.PRNGKey(rng_seed)\n",
" # Generate a random latent vector (batch size 1).\n",
" z = jax.random.normal(rng, shape=(1, latent_dim))\n",
" p = {'params':state_params['params']}\n",
" return VAE(latent_dim).apply(p, z, method=VAECore.generate)\n",
"\n",
"\n",
"# ------------------------------\n",
"# Main\n",
"# ------------------------------\n",
"# if __name__ == \"__main__\":\n",
"\n",
"\n",
"# Set the desired latent dimension.\n",
"latent_dim = 12\n",
"\n",
"# Split data into training (80%) and validation (20%) sets.\n",
"n_total = data.shape[0]\n",
"n_train = int(0.8 * n_total)\n",
"train_data_np = data[:n_train]\n",
"val_data_np = data[n_train:]\n",
"\n",
"# Optionally, standardize each sample (row) to have zero mean and unit variance.\n",
"train_means = np.mean(train_data_np, axis=1, keepdims=True)\n",
"train_stds = np.std(train_data_np, axis=1, keepdims=True)\n",
"train_data_np = (train_data_np - train_means) / train_stds\n",
"\n",
"val_means = np.mean(val_data_np, axis=1, keepdims=True)\n",
"val_stds = np.std(val_data_np, axis=1, keepdims=True)\n",
"val_data_np = (val_data_np - val_means) / val_stds\n",
"\n",
"# Convert preprocessed data to JAX device arrays once.\n",
"train_data = jax.device_put(train_data_np)\n",
"val_data = jax.device_put(val_data_np)\n",
"\n",
"# Train the VAE.\n",
"# state, model, train_losses, val_losses = train_vae(train_data, val_data, latent_dim, n_epochs=200, batch_size=32)\n",
"plot_loss(train_losses, val_losses)\n",
"plot_reconstructions(state, model, val_data)\n",
"\n",
"# Prepare a configuration dictionary.\n",
"config = {\"latent_dim\": latent_dim}\n",
"\n",
"# Save model\n",
"save_model(state, {\"latent_dim\": latent_dim}, filename=f\"{ckpt_dir}/vae_checkpoint\")\n",
"\n",
"# Load model\n",
"loaded_state, loaded_config = load_model(f\"{ckpt_dir}/vae_checkpoint\")\n",
"latent_dim_loaded = loaded_config[\"latent_dim\"]\n",
"\n",
"\n",
"# # Generate a random latent vector (batch size 1).\n",
"z = jax.random.normal(rng, shape=(1, latent_dim))\n",
"# # Use the standalone decoder. The decoder's parameters are stored under \"decoder\".\n",
"plt.plot(generate_signal(loaded_state, latent_dim, 0)[0])\n"
]
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment