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@cgobat
Last active April 23, 2023 16:58
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Concurrent time-series analysis of light intensity and current decay in an RC+LED circuit
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{
"cells": [
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Light curve morphology of LEDs in RC circuits\n",
"\n",
"### Concurrent time-series analysis of light intensity and current decay\n",
"\n",
"**Caden Gobat**, The George Washington University\n",
"\n",
"---\n",
"\n",
"This Jupyter notebook contains the code used to analyze the data collected in the experiment described in [`slide_deck.pdf`](https://gist.github.com/cgobat/5e32510aa0cfd2ddd8b576b414a93866#file-slide_deck-pdf). Click that link (or simply scroll down in this GitHub Gist) for a complete summary of this work, as well as an overview of the experimental design and methodology."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Setup & data import"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np, pandas as pd, matplotlib.pyplot as plt, mpl_toolkits.mplot3d.axes3d as axes3d, json, seaborn as sns\n",
"import matplotlib.patches as mpatches\n",
"from scipy import stats, interpolate, optimize\n",
"sns.set_style(\"ticks\")\n",
"sns.set_context(\"talk\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def resample(oldseries,oldtimes,newtimes=list(range(0,240))):\n",
" lst = []\n",
" interp_func = interpolate.interp1d(oldtimes,oldseries)\n",
" newseries = interp_func(newtimes)\n",
" lst.append(newseries)\n",
" return np.array([newtimes,newseries]).T"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [],
"source": [
"circuit_dfs = []\n",
"intensity_dfs = []\n",
"\n",
"for i in [1,3,4,5,6]: # change this list to use different trials\n",
" circuit_timeseries = pd.read_csv(f\"RED_{i}_V.csv\")\n",
" circuit_timeseries[\"Time\"] /= 1000.\n",
" circuit_timeseries[\"Trial\"] = i\n",
" circuit_dfs.append(circuit_timeseries)\n",
" \n",
" intensity_timeseries = pd.read_csv(f\"RED_{i}_light.csv\").loc[3:,:]\n",
" intensity_timeseries[\"Time\"] -= 3\n",
" intensity_timeseries[\"Norm\"] = intensity_timeseries[\"Intensity\"]/intensity_timeseries[\"Intensity\"].values[0]\n",
" intensity_timeseries[\"Trial\"] = i\n",
" intensity_dfs.append(intensity_timeseries)\n",
"\n",
"circuits = pd.concat(circuit_dfs,sort=False).reset_index().drop(\"index\",axis=1)\n",
"intensities = pd.concat(intensity_dfs,sort=False).reset_index().drop(\"index\",axis=1)\n",
"alldata = pd.concat([circuits,intensities],sort=False)\n",
"\n",
"time_axis = np.array(list(range(0,240)))\n",
"time_axis[0] = 0.01\n",
"\n",
"_current = resample(circuits.loc[:,\"Current\"],circuits.loc[:,\"Time\"],time_axis)[:,1]\n",
"_intensity = resample(intensities.loc[:,\"Norm\"],intensities.loc[:,\"Time\"],time_axis)[:,1]\n",
"\n",
"newcurrents = np.concatenate([resample(circuits.loc[circuits[\"Trial\"]==i,\"Current\"],\n",
" circuits.loc[circuits[\"Trial\"]==i,\"Time\"]) for i in np.unique(circuits.Trial)])\n",
"newintensities = np.concatenate([resample(intensities.loc[intensities[\"Trial\"]==i,\"Norm\"],\n",
" intensities.loc[intensities[\"Trial\"]==i,\"Time\"],\n",
" np.arange(0,210,1)) for i in np.unique(intensities.Trial)])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Compare currents between trials"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Active trials: [1 3 4 5 6]\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"Time\",y=\"Current\",data=circuits,hue=\"Trial\")\n",
"plt.xlim((0,210))\n",
"print(\"Active trials:\",np.unique(circuits.Trial))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Main plot comparing current and intensity decay over time"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(figsize=(8,6))\n",
"sns.lineplot(newcurrents[:,0],newcurrents[:,1],ax=ax,color=\"firebrick\",lw=1.5)\n",
"ax2 = ax.twinx()\n",
"sns.lineplot(x=\"Time\",y=\"Norm\",data=intensities,ax=ax2,color=\"royalblue\",lw=1.5) # units=\"Trial\",estimator=None,\n",
"ax.set_xlim((0,210))\n",
"ax.set_ylim((0,0.015))\n",
"ax.set_ylabel(\"Current (A)\")\n",
"ax2.set_ylabel(\"ROI Mean Intensity (%)\")\n",
"ax.set_xlabel(\"Time (s)\")\n",
"ax.grid(linestyle=\"--\")\n",
"\n",
"red_patch = mpatches.Patch(color=\"firebrick\", label=\"Current\")\n",
"blue_patch = mpatches.Patch(color=\"royalblue\",label=\"LED intensity\")\n",
"ax.legend(handles=[red_patch,blue_patch])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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j1Wq5cuUKCxYsyNUvMTERg8Fgert8nOjoaCpXrszhw4eZNm0ad+7cwcbGhjp16mBtnbvo2+PFdnKiDYq6hfL4ZySTyZ44RmH1yG9seBj7P3PmTJYsWcLff//Nrl27kMlktG7dmm+++QZPT89Cyd+zZ0/+97//sW/fPnx9fTlz5gz/+9//8u2flJSEg4NDrvbHI0uedB2elLtg69atzJkzh8jISOzt7albty6WlpbFnu9AMgyeM4Ig4GgrR20l435MFnKZQHBvBxZvTGDB+gQ+7uuITBC4+0CP1uFVKrcKQH3hQ4g/CXtfBp8R4D3imVYPKmJJWkmn8kFF1KkkydlO2Lt3L/Hx8TRu3JhKlSrl6qfRaNBoNCxfvjzPcapXr05oaCjBwcF07tyZn376ybQisHr16gIdC0uKwuhRlLFGjx7NhAkTuHPnDnv37mXRokVMnjyZH3/8sVBjVKtWjaZNm7Jjxw5CQ0NxdnamTZs2+fZ3cHAgPj4eURTNQjcTExNN//+01+HUqVOMGzeOd999l/79+5u2k2bNmsW5c+cKpc/T8sI7HxZXMhaVUqCqu5Kq7goslQIfvmGPQi4w85d4jpxPR20tIzrBwLUHltzy+oXkWpMQlbZwdTbsaQ/pT1+hrmbNmuUqjKgwSDqVDyqiTpaWliUWS25jY0Pbtm3ZtWsXu3btynMbAaB58+akpKSgUCho0KCB6d+FCxdYvHgxgiBw6dIlMjMzGTp0qNk2Qc7DKK+99+Lm8ZDLwuhRGCIjI+nSpQsHDhwAoEaNGnzwwQe0bt063yiZ/MI/e/XqxaFDh9i5cyevvfbaE8NEW7VqhU6nM4ui0Ol0HD161PR3QdchZ0Xl8XnOnj2L0Whk9OjRJqPAYDDwzz//FLsz7AtvGBQncplAZVclXh4KbKxkBL/pQL3qKrYe0jLjlzgys4zIZAIR8UYuGt7krvefGOybQeo92NMObv1c2ipISEiUMEFBQRw/fpyrV6+anNUep0OHDrz00ksMHTqUtWvXcuLECRYvXsz06dOxtbXFxsYGX19fFAoF3377Lf/88w/79+9nxIgRpodnUf0HngcajYbY2FgOHjxIdHR0ofQoDO7u7nh6ejJlyhQ2bNjAv//+y7Jlyzh48KDJqTEvWQD++usvwsPDTe05n/nly5fzjUbIoVWrVrRp04bPPvuM33//nYMHDzJs2DDi4+NNfQp7HR6Xp2HDhgBMnjyZ48ePs2vXLgYOHMi1a9cQRfGZqicWxAtvGBS75SUT8HRRUtVNgZWlQN8utox624EsvcjsX+M5fyMDVwc5GmsZYUl2XPZcTXKNzxDl1nBpcvb2QkZskea8f/9+sce5ljSSTuWDiqhTSeQxeJSOHTsil8tp1qwZrq6uefaRyWT8/PPPBAYGsmDBAgYPHsymTZsYOnQokydPBsDLy4s5c+bw4MEDhg4dyldffQXAqlWrEASB48ePl5hOOfTp04cqVaoQHBzM1q1bC6VHYZkzZw7+/v58//33DBo0iDVr1jBixAiGDh2aZ/+uXbvSpEkTxo8fz7Jly0ztNjY2+Pn50bBhQ2rVqlXgvAsWLKB79+7MmzePjz76CHd3d9566y3T8YKuQ0545OPytGjRgq+++oqTJ0/ywQcfMGPGDCpVqmTyOXk0rPJ5I4hlpWpDKdCsWTOMRqPJe7Q4MRpFImL13I/Vk6kTkcvg1x3JXLunw7eGincCbXGwlZOQbEAEXC2j8QodiVJ7DkFuDfW/gOr551J/lOvXrwPZiTIqCpJO5YPi0iknkc3jYXslQUk6H5YUkk75k5qaSrt27Rg3bpzZA760eBq9Cvq+NGvWDMjfuHjhVwxKCplMwNNVSR0vFa4OcgxGGPK6Hb1f1nArPItvlsZx6koGzvYK7GzkRKa5csplDVEuozCghPMTshMj6RILnkxCQkJCokiEh4ezYMECBg0ahJWVFd27dy9tkUoNyTAoYWxt5NSqoqKKq4K0DJFWDaz4eogzXu4Klv+VxO+7kxEEcHNUYKtWcNNmGJe9NqCzaQiJF2B3awjdWNpqSEhISFQoZDIZq1atIiYmhjlz5uQK4XyRkGKLSgG5TKCKe7ZH8P1oPRYWAh+948jmAyns+TeNG6E6+r9iS/VK2asLcUlVOF9pHT5p36OJWo1w5iMI+Q1aLgeVbSlrIyEhIVH+qVSpUp7pk19EpBWDUiLHOKjmqcRgFElINtCzg4bg3g6kZxqZtSqejftTyNKDs70CIzIuKD/iVvW16Kx9EeP+zS7IdH9brrFVKlWFqyAm6VQ+qIg6CYJQ5PLCZR1Jp/JDaej1wjsfQvF6dxaGuCQDYVFZJKcaUFvJkctg4/4UjpxPx81Rzvvd7KjhqSJLL5KoNSBHT52UmdjFb0QwpIFLW/D7CZSFC+2RkChvlKbzoYREeUNyPqwAONnJqVNNRTUPJXqjSHKakbcDzcMadx7TIpeDi70ClYWKi9afc7fmb2RZe0P0wezVg8i9BU8mISEhISHxBF54w6AkyqkWBkuVjKruKnyqqnC0lRGToKeqm5IvBznzUh1LthzU8sPaBJK0BtRWMhxs5dzX1eFcpY0kOr2F0ZABxwfC8UGEhdwkLCystFV6roSFhUk6lQMqok4lncegJJB0Kj+Uhl4vvGFQ1rBTy6ldxQIvdyW6LCMp6UYGdLOlX5Att8N1TFkWx+U7maiUAm6OCuRKC86rJ3Ojyi/oLGoiRuzG5exrGKPKRi7050VaWhppaWmlLcZzRdKpfGA0GsvMC8TzQtKp/FAaekmGQRlEpRTw8lBSu6oF9moZMYkGmnhbMuF9JzQ2MuavS2DT/hQMBhG1lQw3RwWJykac8thEikN3BEMale6OgZPBYKh4FrSEhISERPFRpHBFnU7HuXPnCA8PJyEhAblcjpOTEx4eHjRu3FiqrPYcebRKY0RsFpFxelRKgfHvObF+bzK7T6RyI1THwO52uDkqcLSVk5ZhxTnjHCx17amXNhtl+B8Qewya/w+cm5e2ShISEhIS5YBCPcn379/Pr7/+yr///oter89VC1oQBKysrGjZsiVvvfUWHTp0KA5ZX0hyqjTaWMkIichCm2bk3a521KlmweqdSUxdHsebARraNrbC2lKGQi5w8UFToqyXEaCci3XyQYQjb0KVN6HJTJBJxpuEhIQ5sbGxTJ8+nSNHjqDX62nfvj0TJkzAxcXliecdOXKEuXPncuvWLZycnOjXrx+DBg0y63Px4kVmzZrFpUuXsLGxoWfPnowYMcKsuuPly5eZN28eFy9eRBRF6tevz5gxY6hbt26e80ZERPDqq68yePBg/vvf/5raU1JSmDVrFn///TdarZaGDRvy6aefUr9+/Wf4dJ4PBw4cIDg4mMuXL5e2KAXyxKfEoUOHmDp1Kvfu3cPb25tBgwbh4+NDlSpVUKvVGI1GEhMTiYqK4ty5c5w+fZqhQ4dSo0YNPv74Yzp16lRSelRoBEHA2V6BKMLdBzoSUgw0rWNJDU8lv2xL4rddyZy/mcF7r9hhp5bj4awiNUPFaduFVLU/ROXIb1CEroWYQ+C3FBwblrZKRaYi5XTPQdKpfFBRY+Nz0Ov1DB48mLS0NCZOnIher2fOnDkMGTKEjRs35rsSfObMGYYOHUpQUBCjRo3i9OnTzJo1C1EUGTx4MJAdNjdgwACaNGnCvHnzuH37NnPnzkWr1ZqKCYWGhtKvXz/q16/P1KlTEQSBZcuW0bdvX7Zs2ZIr5E4URT777DO0Wm0uncaOHcuNGzf45JNPcHV1ZcWKFfTv35+tW7ealTwuac6cOcMnn3yS66W6MJTK/Sfmw4gRI8SWLVuKixYtEsPCwvLrlouQkBBx7ty5op+fnxgcHFzo80qDpk2bik2bNi1tMYpEZFyW+O/lNPHI+VTxakiGeDUkQ/xxU7wYOOKe+OrHoeLek1rx+r1M8fq9TPHS7Qzx0NlU8fSFaDFlT1/RsKmaaNzsJYpnPxNFg6G0VZGQKDQhISFiSEhIaYtRIdmyZYvo7e0t3rp1y9R28+ZN0cfHR9y2bVu+573//vti7969zdpmzZolNmvWTMzMzBRFURQ/++wzsX379qa/RVEUV69eLdatW1eMjIwURVEUp0yZIrZq1UpMTU019UlNTRVbtGghTpkyJde8v/76q9iuXTvR29tbXLhwoan9woULore3t7hz505TW1pamtiwYUNx7ty5hf04nkhYWJjo7e0tHj9+vFD909PTxYULF4q+vr6in5+fWLdu3eciR0EU9H0p6NmXr/Nh3bp12bt3L8OGDaNy5cqFNjS8vLz46KOP2Lt3L3Xq1HkuxovEQ9wcFdSsrMLGUkZ0vAFdlkjHpjZ8PtAZpUJg0YYEklMNACgVQnbBJrma0/b/46b7d2TKXRHvroC/W0PS1dJVRkLiBWfmzJk0btyY1NRUs/bZs2fTpk0bDAZDrnNOnDiBj49Pvv/mz59fJBmOHj1KrVq1qFmzpqkt5++DBw/meU5mZianTp0iMDDQrL1Lly4kJyebKtYePXqUjh07mmXD7Nq1KwaDgSNHjgBQs2ZNBg0ahLW1tamPtbU17u7uuUJfw8LCmD17dp4lmWvXrs3atWvNtrKVSiWCIJCZmQnAypUr8fHxYevWraY+Bw4cwMfHh19++eWJn9PTsH37dlauXMmECRPo169w1XHLAvluJQwbNuyZBlar1QwfPvyZxigJymN4i6OtHAulwIPYLKITDKSmi7g6yBnWy4HZv8Yxf200774M1bw8EAQBO7UcWxsZaRlBnJK3pEHCR2jSjiM70A1qDoJ6n4GsbAeoVMTMd5JO5YOch4qFhcVzH7tXr14sW7aMv//+mx49egDZv0l//vkn3bt3Ry6X5zrH19eXtWvX5jumu7t7gfM+qtOdO3eoXr16rj5Vq1bl7t27eZ4fFhZGVlZWrvNyrvvdu3dp1KgRERERufo4OjqiVqtNY7/99tu5xr937x43b96kTZs2pjaj0cj48eMJCgqiXbt2uc4RBIG6detiYWGBwWAgLCyM+fPnYzQaef311wF477332L17NzNmzKB9+/YAfPHFF/j7+9O/f/88dRVF0WSg5TwvjEYjer0eALlcnu9yf4sWLdi7dy9qtbrIBlsOxXn/5cczeaJlZWVx9OhRZDIZrVu3lqISShAbKxk1PVXYqw3cj9ETHa/H3VHOgFft+XlLInPWi7Ssn8QrrdU42GbfuDZWAkqFI+fkS/HS/4lnzGwUNxcj3N8OrX8BTa3SVitfcmqSVyQkncoHYjFmja9VqxaNGjXijz/+MBkGx48fJzIykp49e+Z5jlqtpnHjxs8076M6paSkUKtW7u++jY2NydB7nJSUFJMsj58DoNVq8+2T0+9xH4EcMjIyGDduHBYWFmZv2StXriQsLIwff/yxQJ2mTZvGr7/+CsDIkSNNq9eCIDB9+nRee+015s6dS2pqKjqdjunTp+f7cN+8eTMTJkwwaxswYIDp/6dPn57vtfL09MyzvSgU5/2XH4V+kut0OqZMmUJ4eDjLli1Dp9PRp08frl27BmQvB61cuRInJ6diE1bCHJlMwMVBgdpKRnhMFpFxBupWUzEgMJPTN+Ucv5TOuRuZfPiGPbWqZC/lqZQCrk5KIlJ6EOHRFt/Yj1Cn/otsXxfw/i/4jC7zqwcSEhWJXr16MXHiRKKionBzc2Pz5s3Ur1+f2rVr59n/0TfYvJDJZMjy+A4/mign5203h7weiqIo5jlOzrH8zsuR4Ul98htbq9USHBzMxYsX+f77702rH3fu3GHevHn88MMPaDSaPOd8lDfeeIPAwEAOHjzI/PnzEUXRtIJdtWpVPv74Y6ZPn47RaGTu3Lm4ubnlO1bHjh3ZsGEDADExMQwbNoxJkybh6+sLUKSt9vJCoZ8ACxYsYN26dXh4eACwZcsWrl69Sv/+/Zk2bRoxMTF8//33xSaoRP5YWcqo4amiiquC5DQjDhqRbi30fD7QGWtLgblr4tl9IhW9IfuLKpcJONnJUds5c85lJSGuX6MTNIhXv4O97SE1tJQ1kpB4cejWrRsqlYq//vqL1NRU9uzZk+8bKMC///6Lr69vvv8WLlyY53kLFy409WnatClNmzYFst/o88+Yq8YAACAASURBVHp7T01NzfNtHzA9nB8/L+dvjUZjOjevsdPS0nI94CMiIujbty9nzpxh7ty5pqg2g8HA+PHj6dq1K/7+/uj1epNh8+iS/qPUr1+fFi1aMHbsWN544w1+/vlnM2OqW7duyOVyrK2tadmyZZ465uDg4ECDBg1o0KAB3t7eAFSvXt3U5uDg8MTzyyOFXjHYsWMHb775JlOmTAFg165daDQaxo4di0KhICwsjPXr1xeboBJPRi4TqOKmxCjCg3CBLL2IZ2U5495zYuW2JDbtT+GfC2n07WKHd9Xs1QMLlQw3J4E4y75EqwKoEzsaTfIpZHsDEHxGZ68gVMBQLQmJsoRarSYwMJAdO3bg4eGBXq/n1Vdfzbe/r6+v6Q02L1xdXfNsfzTHzKO596tXr86NGzdy9Q8NDaVRo0Z5jlW1alXkcjmhoaG5zskZ08bGBjc3t1zbEXFxcWi1WjPfg5s3bzJo0CAyMjJYtmwZzZs/TMgWERHB+fPnOX/+PFu2bDEba/78+cyfP5/r168TEhLC2bNnefvtt81WKXx9fdm0aRNJSUk4OjoCMHnyZOzt7RFFkYkTJ/LDDz/kqeeLSqENg8jISNO+Vnp6OidPnqRDhw4mvwIPDw+Sk5OLR0qJQiGXZydDiva0IDkVElIMKOQCQ3vac+l2Juv2pDBvTTxvdbalw0vZHsA5zol6q0pctVyNc9xyqib9D+XlacjCNkDr1WBdqZQ1w8xjuaIg6VQ+yG85/XnSq1cvBgwYwG+//UZAQAB2dnb59lWr1TRo0KDIc7i5uZmWzB81DNq0acO2bdu4c+cONWrUAODWrVvcuXMnXyd0CwsLmjVrxu7du3n//fdND+KcF8achEL+/v7s37+fsWPHmiITdu3ahVwux8/PD4CoqCgGDBiATCZjzZo1ufwdXF1d8zSE3nzzTd555x169eoFwO3bt5k4cSLVq1c3WwU4cuQIrq6upjf7nTt3smPHDubNm4fRaOTjjz9mx44dBAUFFfETLRlK4v57nEIbBs7OzsTGxgJw+PBhdDqdWVjI9evX87VUyzKl8aEXJwq5QMsmVcnSiyQkGwiPzo5c8K1hwecDVSzdmsTvu5O5H51F75dtUSkF03lO9krSrYdw1jqQOrGfoEk8A393QPAdh6zW4FLVqzSTkxQXkk7lg0dD7YqLFi1a4OnpycmTJ/npp5+Kfb5HdXrllVf48ccfGTJkiCkJz5w5c6hdu7bZw/LKlSuoVCrTg3vYsGEMHDiQ0aNH88Ybb3D27FmWLl3KJ598gpWVFQBDhgxh27Zt/Oc//+H9998nJCSE7777jrfeeotKlbJfOKZOnUpsbCyTJk1Cq9Vy7tw505wajYaaNWvmawi5urqajnXu3BlfX1/GjRvH6NGjcXJy4s8//2T//v18++23CIJAfHw8kyZNomPHjibdNm3axDfffEOLFi1MKwr5UblyZa5fv17Uj/uZKIn773EKbRi0aNGClStXYmFhwerVq7GysqJTp04kJyezceNG1q1bl2fYiUTpoFQIuDoqsFAJ3IvMIjpej6OdgmG97PnjkJZdx7NrLbzfzY4ang9vPEuVDJWbF9dt1uAYuRjPpGWozn2FGLIeuf9KsMrfSUdCQuLpEASB9u3bs3v3brMQvZJApVKxfPlypk6dyhdffIFKpcLf35/x48ebRZoNHz4cT09PVq1aBUCrVq2YP38+P/zwA8HBwbi5uTF27FizlMg1a9Zk2bJlzJo1i5EjR+Lg4MDAgQMZMWIEkO0EuW/fPgC+/vrrXLK1atWKFStWFFqPJUuWMG/ePL777jsSEhLw8fFh0aJFvPzyywBMmjSJjIwMs7kmTpzIq6++yqRJkyQ/uf9HEAsZC5GcnMyoUaM4duwY1tbWTJ48mW7dunH69GneffddmjdvzsKFC7G1tS1umZ8bzZo1w2g0mpJxVBRy4oNz9vDSM4yERmURHW9AbS3DxkrG9XuZrNiWREKykeb1LHmtrRoXh9x2oj7pNq53RmOru4BMpUHe8GuE6n1LVB/IrVNFQNKp8JRmfoSSiCM3Go107dqVoKAgRo8eXWzz5FAasfHFTUXUCZ5Or4K+L82aNQPg1KlTeR4v9IqBra0ty5cvJz4+HrVabVreqFu3LmvXrs3XSUWi5Hl0/xCyoxZqVlZhZZFFeLQevUHEx8uCrwY5s+tEKntPpnLmWgaBLW0IaqU2bS8AKOxqEttwA6l35uKS8Cuq058i3FuLvOUysCy50NTHdaoISDqVD4ozjjwlJYWVK1dy9uxZoqKi6Nu3ZIzu0oiNL24qok5QOnoVeYPd0dHRbM/j/v37+Ya0SJQdFPLsqIUanipEIDZRj4WFQI/2GiZ/6EKzupbs+CeVb5bGcvlOptm5MrmKzNrjCKm1jmRFPYzR/6Lb2Ybk6xsq7JdRQqIksLS05Pfff+fatWtMnz79ifH0EhIlRaFXDERR5Oeff+bu3bumxBBDhw7l8OHDwMP9ppzMVxJlD0EQcHdSoFQIhEZlEZNgwNlOjr1GzsDu9rRqkMma3cnMX5dA0zqW9Ghvvr2gcKxLpHojafdm4Bi/HovzI0kLXYvK/2eU1valqJmERPlEqVSaagZISJQVCr1isHTpUr777jtTZMKOHTs4dOgQgYGBBAcHc/r06XwTazyJv/76i27dutGwYUOCgoJyxak+zrVr1xg8eDCNGzc2JbCIiooq8rwvMk52cmpVVuFoKyM6QU9sop60DCN1qlnwxSBnurdVc/5mBl/9FMuSPxKJTXyYQEShsiSt9kSifdeQaVUHRfwRDLv8ib70B4kp+Wdjk5CQkJAoHxTaMNi8eTOdO3fm559/BrKrRllZWTFz5kyGDx9O37592blzZ5Em37FjB2PGjMHf35+FCxfi5+fHuHHj8h0nNDSUd999l/DwcL755htmzZpFTEwM77zzjpRD4RHUanWB2zsaaxm1Kqvw8bLA0VZOps5IbKIeuRy6+auZOsyFzn42XLydycxf4rn7wHzvWKduSFT9zSS79AVDBnZXhpF1+D0ioxJLTafyhqRT+SC/FMPlGUmn8kNp6FXorYSwsDBT4YisrCyOHTuGn58flpaWQHZYSs5qQmH57rvvCAoK4rPPPgOgbdu2JCUl8f3339O1a9dc/X/55Rf0ej3Lly83xcC2bNmSrl27smTJEj7++OMizQ8VL48BFL5wh4VKhruTDDdHOfHJRtP2gr1ahp1aTs+OGlo3tGLBugS++y2efl3t8PO1NCUzEeVWJNSaTlpKT1zufoaddi9ZR9sSX38ODrU755tHvTh1Kk9IOpUPSiOOvLiRdCo/lIZehX4q2tramnJenzhxgrS0NLPSl6GhoTg7Oxd64rCwMEJDQ/Os533nzp1cdbghOxTK29vbZBRAdghHgwYN8q0bLlEwgpBdO6F2ZRUu9nJS0oxExevRZYm4OykY+54jVd2VLP8rifnrEohOMM9Nnqlpzn3fLaS69ERu0GJzbhApBz4gLZ/qaRISEhISZZdCrxg0adKEX3/9FU9PT3788UcUCgWBgYFkZWWxf/9+1qxZYyp6URju3LkD5I53frSe9+NZ1Dw8PLh58yZ6vd4s8UZ4eHiehkROrGZ+pKSkYG1tnSuTlYODA66urhiNRm7evJnrPCcnJ5ydndHr9dy+fTvXcRcXFxwdHdHpdHnWM3dzc8Pe3p6MjIw8y5p6eHhga2tLWlpannp5enqaCp/cv38/T90UCgUuLi5ERETkOubl5YWlpSWJiYm5/DNEEWp6ViUhRUZIeBKp2kTUVtCrNZy5JefQBZGJP8fSqr4VbRoYEQxJpnPvykZhZ+ePb/pCLKL/QrfjOBddP0Ph1hTZI4sHPj4+QHaa7aSkJLP5ZTKZqapcRESEaYsoPT0deJgJDbIjYh4v0KJSqUz3VFhYGGlpaWbHLS0tTffYvXv3cpUJtra2Nt13d+/ezRV+p1arTW/Ft2/fzlXAxdbW1lRo7ObNm6ZqdjnY2dmZKsblZHjLyRIHL/a9B9m/ByqVivj4eGJiYkztGRkZaDQaRFFEEASysrJMRXFkUXuQRWZvP8rl2SXGDUYj4mOffY5sQMHHDQZTxM2jVQLzOp6D0aMrqqrZNQ50Ol2uay8IgikWPTMzM9f5MpnM9HZY0PG8ylsXdFwul6NUKgFM34tHV0xzjouiaIqdz+v8/I4rFAoUCgVGozHPsNWCjiuVSuRyOQaDgaysrCIff7RfXsdVKhUymcysCFNRjltYWOS694pyPGd1vaDjj987Of+fk268oHtLp9NhMBhISUkx3QeP/+4ZjcYnrpYXesXgs88+w8LCgpEjR3L16lU++eQTXFxcOHPmDCNHjsTFxYVRo0YVdrhC1fN+nB49ehAdHc3nn3/OgwcPiIuLY+7cudy8edP04JDI/tHK68YuDDIBHDRyaldRUd1DhkIOCVoBQYBm3gb+0y2Tto0sOXE5nbnrMrke/sgtJAgkWTbnge8W0p26IjcmUfPBJ6hvTiU9PZNniWwURbHChUZWRJ2e5d6TeDZ0Oh0TJkygXbt2+Pv7M3jwYG7dulXaYpUYFe27VJoUOvMhZKevvHLlilkxjqSkJI4ePUrHjh3N3nwK4s8//2TMmDHs27fPbF8yJCSELl265OtnsGnTJqZPn05ycjKCINC5c2c8PDxYv349Z8+eLfT8UHEzH+asgOS8mT8LyakG7j7IIjnViIu9HNn/v/rHJRn4eUsiIRFZdGlpw6tt1CgVjywLiCJWiXtwvPsNisx76FWViK71A/bVWuGgkZeqTmUFSafCU5qZDx996yrLpKWlsXz5cnr16oWLiwu//PILa9asYffu3bn6lhedikJF1AmeTq9nzXxYJM87hUJBw4YNcXFxITY2Fp1Oh52dHa+88kqRjALIv553amqq2fHH6dmzJ8ePH2fnzp0cOXKE+fPnk5KSgr29FEdfHNjayKnhqcJOLSMqXk9qRvYSlpOdnE/edaRtYyt2HU9l0pJYLtx6ZPlSEEh36ExEgz/IcAhAqY/F4+o7ZJz4lLj43MucEhISz4a1tTXBwcG4u7sjl8t59913CQ0NJSEhobRFkyhnFMkwuHfvHiNGjKBp06a0a9eO06dPc+zYMXr37p2v5ZEfOfvAj9fzzrF08sq1fvv2bf744w/kcjnVq1c3OTteuXKFevXqFWl+icKjsZZRu7KKKm5KdDojkXF6MjKNKBUC73a146O3HVDIYdGGRDbuT8FofLgIZVQ6EuWznJha8xAt3HCK/w2Lg22IuXMKXZa09Cch8Sg//vgjn3/+uenv3bt34+PjY/rn6+tLp06dmDt3boHpp8+ePYuTk5Op3HBRKGp+Gch+s505cyZt2rShUaNG9OnTJ0+n8DVr1hAUFETjxo3p3r07W7duNTv+/vvvs3379iLLLPH8KLRhEBISQu/evfn3339p27ataT9HLpdz584dBg0aZFYusyC8vLyoXLlyrpwFu3fvplq1amaRBzlcv36dsWPHmjlFnThxgmvXrhXJ8bGiY2tr+9yLWVlZyqheSYmPlwVujnLSMrIjFwwG0ZQYqf1L1vx9IpXFGxPRpj3iHCMIpDq9yn3fP8iwa48yKxLNqZ7EHfmciOgMM0OiJHUqbSSdygclFUd+48YNli9fbhZ2ffnyZQB++ukn1q5dy08//US9evX48ccf+eGHH/IdKzk5ma+++spUkOlxZ7Un6VTU/DI5jBo1ilWrVvHWW2+xePFi/P39GT58OLt27TL1Wbt2LRMnTqRDhw4sWrSI1q1b8+mnn7Jjxw5TnwkTJjBlyhTi4uKeON/jSHkMniNiIRkxYoTYtm1bMTY2VoyLixN9fHzEf/75RxRFUYyMjBQ7duwoDh48uLDDiaIoihs3bhS9vb3FSZMmiQcPHhS//vpr0dvbW9y2bZsoiqIYFxcnnj17VkxJSRFFURRTU1PFgIAA8c033xQPHjwobt68WfTz8xN79+4tZmVlFWluURTFpk2bik2bNi3yeS86BoNRjE/Wi5dup4sHz2jFczfSxev3MsXr9zLFnzYniC8H3xNf/ThUXPFXongtJMN07Pq9TPF6SLp4/9RqMW1zYzFzrZuYtLG5GHr9jKjLMpa2WhJlmJCQEDEkJKS0xShWPvjgA3Hq1KlmbUOGDBGbNWtm1paZmSk2b95c7NatW57jZGRkiP369ROnT59uagsLCxO7d+8url+/XszIyHiiHJ06dRI/+ugjs7ZRo0aJXbt2zfecS5cuid7e3uLPP/9s1j5r1iyxXbt2osFgEEVRFPv06SP279/frE/fvn3Ffv36mbUNHTpUnDx58hPllMifgr4vBT37Cm2GHD9+nHfeeQcnJ6dciWvc3Nzo27cvly5dKpJR0rNnTyZNmsSRI0cIDg7m33//ZebMmbzyyisAHDhwgD59+pisZmtra5YsWYKdnR2jR49m9uzZvPLKKyxZssQsfFGieJHJhP+PXLCgsquSlDQjyanZ4TftX7Lm84FOuDkqWLktiR83JaJNf3T1QIbW5U0e+G4hw84fS8N9XM71IOHYZCJjMknPyB1CJiFR0blx4wYHDx7k1VdfNWu/evUqtWrVMmtTqVRoNJo8f/MMBgOjR4/G1dWVcePGmdodHBzw9vZm4sSJtG/fnrlz5+YZLvo0+WXgYbntjh07mrU3b96cyMhIk1NqZmZmrno69vb2JCaaZ0zt3r0769evJz4+Ps/5JIqXQhsGOp3uiUuESqUyz9jWgnj77bfZvXs3Fy9eZPv27fTo0cN0rGfPnly/fp0WLVqY2qpXr86SJUs4ffo0R44c4euvv36mpcvHl9gqAjdv3swzBv55o1IKVPNQUr2SEoNBJD4pO7bb00XJmH6OvBmg4dLtTKYui+XirQyzcCKDhQeRdX4lrto3iEo77CMWYXWkI7euXCLkgc7cmChBnUoSSafyQUZGRp55AZ4nf/75J5UqVaJhw4amtujoaGJiYkx5PXIIDQ3lwYMHBAUF5Rrniy++IDMzkxkzZpi9wNnY2DB79mwOHDhA//792bhxIwEBAXzyySecP3/e1K8w+WXyIid3x+O5LXIMiZz/vvfeexw+fJgdO3ag1WrZuXMnBw4c4PXXXzc7r0OHDhiNRvbs2ZPnfHlREtepNCgNvQptGNSpU4d9+/bleUyv17N169YKFXZVnjEajSVm8MhkAp4u2eWcVUqIijeQpReRCQKd/GwY+54TKqXAwg2JzPs9gYjYR2LcBTkpbv2J8N1Mpm1LrPUheN95Hf3l77gRkk50/MO+JalTSSHpJJHD8ePHadCggVlbzkppzZo10ev1pKenc/LkSYYPH06PHj0YOHCgWf/79++zadMmTp48iZ+fH02aNKFJkyZmjuHOzs4EBwezc+dOpk6dSkREBG+99RaTJk0Cni6/DECDBg2oVasWkydP5uTJk2i1Wg4dOsTSpUuBhwmVunXrRrdu3fjoo49o2rQpo0aNonv37gwZMsRsPGtra2rWrMmJEycK/yFKPDcKvf7+4Ycf8t///pcxY8bw8ssvA9k34t69e1m6dClXrlxh3rx5xSaoRNnGxUGBlYWM8OgsYhINWKoEbG1keLkr+XKwM4fPpvHXUS0zfoljyGt2NKj1MCZXb1mFiDqrsYtagf2DRVRLnEdq2jbupP6I3uiDu2PR8x5ISJQnwsLCcmVqzTEMpk2bxrRp00ztXbt2Zdq0abm2dD09PXNlcX0SOVki4WEGRPGRLI+PktOenxOcSqViwYIFjBs3jn79+gFQuXJlPvroI8aNG2cKZx82bBhnz55lwoQJ1KtXj/Pnz7No0SLUajVffPFFLn3yy64pUbwU2jDo2LEjU6dOZdq0aWzbtg2AL7/8ElEUsbCwYNy4cXTp0qXYBJUo+6itZdSqokJjoycyVk9UvAEHjQwLlYyOzWxo7GPJ4g0JLNqQyCv+NnRpqUal/P8fIJmSJI8PSLUPwOXup9iknKZuyGuEJ4/gdq2hpGeClUXp6ichUVxotVpTytscrly5gkKh4LfffkMmkxEfH8/ixYvZuXMnu3btyjMBXEHEx8ezbt06fvvtN+Li4ujSpQvr1683bWE8bX4ZyN5+WLduHTExMaSkpFCtWjVOnz4NZKcCP3PmDEeOHGH69On07NkTAD8/P2xtbfnqq6/o3bu32aqzlZWVaQVDomQpksdez549CQwM5OjRo4SFhWE0GvH09KR169ZPFSsrUfFQyLO3FuzUciJis4iKM2ChErG1keGgkTOmnxOrdiSx7WgqR86n07Ojhha+D5Nj6a1qEllnDXYP/odd1BK84maQkryV2xZfobKthJObHo11trEhIVFRsLe3z1U6/sqVK3h7e9OoUSNTW506dQgICGDDhg1FMgxSU1OZMmUKf/31F1ZWVvTs2ZN33nknV2a8R/PLPPqQflJ+GcjeB9+1axfNmjXD09MTFxcXIHvVQxAE6taty+HDhwF46aWXzM7NWSm5ffu22ZzJycnSc6WUKLIrv1qtrlArA8+zNHBZwc7OrrRFQG0lo4anCrWVgQcxWUTFG7DXyLBUyRj8mj3tmujYuC+F5X8mceOejrcDbU0plUWZBYmVR5LqGIjLnbHYpp6jrW4QNwzBXLs7FGsrGfYaOS4OCjTW5ddAKAvX6XlTEXWSy4t/K8vT09MsSiAhIYGIiAizCraQHQHWunVrjh07RnJycqEdrxMSEkxL+G+88Ua+UVyP5pfp3Lmzqf1J+WUg2/n8m2++4f3332fkyJFAtrGwdu1amjdvjp2dncmoOHnyJNWqVTOdm5P/5vGS3ZGRkUXyWyuJ61QalIZe+RoGEyZMKPJggiCY7YWVByqiYZBTva+0kcsEPJyzH94RcVnEJBhIzxBxsM0u0jS2vyN/HtGy459UQiKy6NvFlpqVH9Yez7KuQ0Tdtdjf/wG76FU0SJ9NeuRebnsuICzaneRUI7Uqq1CXU+OgrFyn50lF1CmnImFx4u/vz7p160x/5/gXPO6QCNmhg4cOHeLAgQO89tprhRrfw8ODHTt2FOr3Ljg4mAkTJmBnZ0eHDh3Yt28fO3bsYO7cuaY+kZGRREZGUq9ePVQqFXK5nLfffpvly5fj6upK5cqVWbJkCQ8ePGDmzJkApqyN06ZNIzU1lbp163Lp0iUWLlxIu3btzFZGtFotN2/eZPDgwYXSD0rmOpUGpaFXvobB5s2bizxYeTQMJIoftbWMmpYqbG0M3IvMIj7JgKNddkGm19tpqFFJyepdyXz7azwtfC15o4MG+/8vtCTKrUioOo5UxyBcQiZgpT1N3dtBxFaewJ3U3oRE6KhZWYWVRfk0DiQkAAIDA1m4cKEpvfuVK1eAvA2DTp068fXXX7Nnz55CGwZFeevs2bMnOp2OZcuWsX79eqpUqWKWXwZg/fr1LFiwgL1791K5cmUgO/OhTCZj0aJFaLVaGjRowIoVK8xCMOfOncuCBQtYsWIFcXFxeHp6MmjQIP7zn/+YyXD48GGUSiUdOnQotNwSz48iVVesaEjVFUuemAQ9IRFZ6LJE7NRyk/Nhhs7IruOp/H0iFblMIKi1DZ1b2CD//2qOISEhyI1pNJKvxzbmd2SGNNI0LbnkMBdbZ3cqOStxsJWVqxWgsnydnhapuuLT85///AcPDw9T6GBxUtYrEQ4cOJBatWqZ1Y0oiLKu09NSpqsrLliwgBs3buR7/MKFC3z99deFHU7iBcXFQUFNTxX2GhmJWgOxiXpEUcRSJeP1dhq+HuJMnWoqthzU8sPvCaQ8UnPBILMmvupXPPBeRaZ1HaxT/qHpgyAUDzZyLSSDOw+ypMyJEuWW0aNHs337dqKjo0tblFLl8uXLXLlyJdcqgkTJ8dwMgzNnzrBp06bnIpRExcbRTk4dLwt8vFRYWghEJxgw/v/ClYuDgmG9HHi/mx237+uYviKW0MishycLAjrbZkTUXU+yy7sIxgxqRY6hzoPBRDyI4lqozlTcSUKiPFG3bl0GDBhgtpf/IjJjxgy+/PJLU2SDRMmTr49BWFgYgwcPxmAwmNqmTZuW500riiLR0dFmnqYSEk9CLhdwsVegUgjcfZDtmOigebi10KqBFZVcFPxvUwLf/hpHYFMZDao/XA0wKmyJrT4drVN3nO99ja12H80yunI36xtupgURZyvDzUmJ2kqQQhslyg3BwcGlLUKps2rVqtIW4YUnX8OgSpUq9OjRg2PHjgHZWQ7t7e1xcnLK1Vcul9O4ceNcaS0lJArCTi2nVmWB8OgsYhMNKBUC9ppsXwEvdyUTBjizZEsi207ApbsGOvql85KPZbYBIQhk2PnzoN56nO5NRB2/ndoPRuBm25nrxhkkaO2wUglYW8qo5KLA1qZihjNJSEhIPE8K7XwYEBDA559/bkqHXBFo1qwZoiiasnNVFHL2KF1dXUtZksJjMIjEJGbnPEjNEHG2kyOXZ68eGIwiWw/EcvKqgfgUcLCV0aujhqZ1LB86G4oiVon7cA6djDLjFnqlOxFVp5Ng8zLaNCNqa4Fq7ioc7cqOcVAer1NBFJdOpel8mJWVvZVVkcLhJJ3KD0+j17M6H77wUQmQ/4cjUfKkpBkJjdQRm2jAXi3HyvLhNoAoily/l50YKSxaT4OaFgx6zc4sVFGWFYtzyOfYJOwBjGgduhFTbTqxqVYoFQJV3JS4OmSHSkqUH0rTMJCQKG88q2GQ71bCggULCAwMxNvb2/R3QQiCIO2RlQFyqtvlV/CkLKOxllGrsgorCz1R8Xq0GUacbOVAtv1ap5oFEwao2H86jY37Upj9azzBvR1wtM1eCTAqnYmutRjrhF04hU5FE78FK+2/WNb4lkixDbfCdaRmKKjkpDAzOkqD8nyd8qMi6pRfYaHyjKRT+aE09HqiYeDl5VXhDYOKWCL25s2bQPmNj7dQyaheKbveQnh0FtEJBtKTwxEEe6m2xwAAIABJREFUqFatGjKZwMvNbfBwVvDTlkRm/hLHf990wMv9/5faBBlpjkFkqpvgfGc81smH8Lg+ELXTG9z3+IbwKJGkFAPO9nIcbRXYWAml8mNS3q9TXlREnTIzM4GKFR8v6VR+KA298jUM9u7di6Ojo9nfEhIlhSAIONnJUSrgVriOyAgBe7X5rle96hZ82s+RhesTmLM6noGv2tHE5+GXx6ByJ8pnKTaxW3EMn4Vt7Fqsk/8hsvocYsUW3H2QRWS8AUeNDBcHBXbqsuN/IGGOTCYz7bVKSEjkjyiK6PV6VCpVwZ3zIV/D4PGCFo//LSFREtjayKnmruLePZG4FAHLOD1WFgK2NtmRC54uSsa958SijYn8b3MizetZ8maA5uFDXpCT6vIGmZrmOIeMxyrpCJ43+mPr8jaxVb4gVW9BRJyBRK0RLw8lLvZFrismUQJYWlqi1WqJj483e2GRkJB4iNFoJDY2Fp1O90zfkyL9ChqNRk6cOEFMTEy+S/A9evR4amEkJPLC0U5OVVcRXRZUrqQkOl5PVLwBR9vsvAd2ajlj3nVk5zEtu46ncul2Jq+3U9OuibXJyVBvWZlI7+VoYtfjED4X2+iVWCUdJKrmPKwdmpKQbOTufR0GA5JzYhnE2dmZzMxMoqKiSExMLNGKczm5XCpS9T5Jp/JDYfUyGAxkZWVhNBqxtbV9pkqnhTYMrl27xocffkh0dDT5BTIIgiAZBhLFgtoKsBKp4qbEQZPtexCTaMBSlb16oFQIdG+rwc/XijW7k/n97xSOXUynbxc7vDz+3/dApiTFtS/pmtY4h0zAOvkfPK+9TZJLf4Qq40lKV3D7vg5tmpxKLkqsS9k5UeIhgiDg6elJbGwsGRkZJeoblJKSAoC9vX2JzVncSDqVHwqrl1KpxMrKCjs7O6ytrZ9pzkIbBjNmzCA5OZmPP/6YunXrPtP+RVmionmwAnkmoSrvPKqT2lpG7SoqbNXZeQ+iEwy4OMiRCQJujgpG9XHg1NUM1u9NYcbKOP6PvfsObKs6Gz/+vUNbsmTJeyfOomwI0ELDCgECBAIFCi0QIIzS8vaFHyuhpaWFF1qglBHWS5O+BVIglBWgSYGEsAuUDSGDDNvxtmRJlmxZuuP3h4jBeCbYcaScz3+R5Kvz5F5bj84953kO3c/J7EPdPbsQNEcVzZP/D0/L38ltWICv+UFckRVYq+8m6tyThlaNaNwgP1chzzt6uxey/TyNNEmSxqRMrsvlAtKzFtlCxJQ5xiKuYdcx2GeffbjwwgszbtfBYEQdg8wXjetsrE8R6zLI9ym9Er2uhMGzr8V49cNOPE6ZU4/0cMD37L1eY+lcT97ma3F0vIMp2wkXziVYchkdCZWubgO3Q6YwoKbLN1uyL4kUBGHXM2LdFZ1OZ9ZN0WQrTdPQNG2shzGiBoopx6VQVWzBaZMIRnR04+s812GXOePoHObNCZDrkVn0XIR7/xHu1bEx5ZxI05SHaSubjyE7yG28m4rPjyVfWkuBX0U3YENdirU13URiep/3H42YMpmIKTOImDLHWMQ17MTgmGOO4bnnnhtwfUGmysY6Bhs2bGDDhg1jPYwRNVhMPo9CZbEVp12mJaTT3vF1t0aAyqL0zoXTpnv4YnM3Nyxs4/01CYyvkghTthMtvYSGKY+ScB+ANfElJatPxl9/J16XSX6uQjhmsGFLklBk5JKDXe08ZSoRU2bIxphgbOIa9hqDGTNm8Oqrr3LGGWcwY8YM/H5/v9XNxOJDYSwEvApuh0QoatAYTNES0r+qg5Ce/t9aFGlyhZVFz0d48JkwhX6FE37oZupu6dsLKdf3aJzyCN7GB/A1/RV//W242pfRXH03BbkTCUZ0NtQn6epWCfgU7KJroyAIWWjYicH5558PQENDAx9//HG/rxG7EoSxZLPKFOfJeFwyW5rTixLdDhm38+sP8LJCC78+L8CH67pZ/laMhUsj/PuzLn56jBe/V8FUXIRLL6fTdyR5m6/DHv+QstUn0V7y30jFFxKJpwsuNbfLFPpVCnLVnuRDEAQhGww7MXjooYdGcxyCMGLcDpnqMitOe7qyYVNQ66l5AOnZg/2n2Nl3ko1VH3TyzKsxfr+ojbNnetl/ih0kiaR7Hxqn/B1f/QK8rQ8TqPsf3KHnUasX4PFX0tFpsHFLinCHTlHAgs8jo4jaB4IgZIFhJwYHHnjgaI5DEEaURZWoKLLides0tmm0hXUsqoTXIyNLXycIR051secEG4uWpm8vrN7bwSmHe3A5ZEzVQ3vFPDr9R5G3+bfYYh9S9vnxhMquQC48F6ddJtyhE4l1k+tRyM9VyPV83S5aEAQhEw07MXjmmWeG9bpMu5WQjXUMxmKv92jb3pi8bgW3Q8bn0WkMarQENfze3lsP830qV/7Uz9LXY7z4TpyP1iU46VAP0/ZxIEkS3Z4DaNzt7/i23E5O6+Pk1fwWV+h5WqvvxJJbTjJlEorqhDp0fG6ZAr9KnlcZ8toS5ykziJgyQzbGBGMT17DrGEyZMgVJkvrdlfDNP4BffPHFyI1ulIk6BruWroRBXUv69oJNlXA75T7rA7a0pFjycgfrapN8fw87Z830om6dATBN7JE3yKu7AWv8c3TVT6hiHh35Z4Ikk0yZROM6kgSVxVaKA0MnB4IgCDvaUJ99w04M3n333T6P6bpOW1sbL7zwAjU1Ndx3331UVVVt/2h3sGxNDJLJJEDWVKeEkYtJ101a2nVa2jXiXQaGmd7R8M31AaZp8s+34jz3eozJlVbOn+Xt1XlRTrXhr7sFT/AZJKOLrpxDaB7/ZwxbMZAuupRMmZQVWsA0SWlQ6Fd7LYIcyZh2JiKmzCBiyhyjEdeIJQZDufDCC8nLy+Pmm28eicPtEFOnTsUwDD744IOxHsqIWrt2LQCTJ08e45GMnJGOSdNNojGDLa0pwlG9z+0FgH9/1sUjyyKoisQJP3RzxFTn1wmEaeAMr8RfexPWrrXolnyC5dcSyz8NJImOToN4l44kSRgmeF0yFUUW/DlfJxjiPGUGEVNmyMaYYHTiGrHKh0OZMWMGK1euHKnDCcKoUhUJv1dhYrmVwoBKKKITT/QudvX9PRz85oI8qsss/GNlB/c/GSaZ+iqPlmQ6c4+icbdH6cg7FVnvoGDTlRSuPRc51YrHKVMUsFDoVyn0K8QT6QJJTUEt64qECYKQXUYsMdi0aVNWlqMUspvDlt7aWFGk0pUwaO/Qe31wF+SqXHpaLmccncNnG7q547EQ0fjX1Q91ayGt1bfTXH03SXsVrvBLlH16DK62Z+Cr48iSRL5PxTRhY32SuuYUui6SA0EQdk7feVdCMpnkiy++YMmSJUyfPn3EBiYIO4qqSFQWW7DbZOpb0oWR/DlfV02UJInD93PidcksXBrmugfamHGgi6MOcGK3ySApdAaOI+neG3/N73GFX6Rgw38TD/2TtnE3Y1jSHQd9HoV4l8HmJo1kyiSpgXXYv4GCIAg7xrD/LM2bN2/AXQkAu+++O/PmzRuxgQnCjiRJEkUBFZfjq+QgpON1y71aLu872c6vz8/j2dc6eP6NGG9/2sV5J3iZUJ5eFKTZSmmZsABX6AX8W27FHXoee+wD2qp+T2fuTJAkXA4ZVYH6Vo3OiERRQMwcCIKwc/lOuxIAZFkmPz+fysrKER3YjjB16lRM0+T9998f66GMqHA4DJBV3TB3ZEyablLXnKK+RcPpkHE7+t5x+3JLkv97PkIwonPYvk4O399JUeDrPFtN1BDY/FuckVUAxAOzaKu8AcOSHr+um9Q0RHHaYcq4XPJzs2Nro7j2MoOIKXOMRlw7bFdCJsrW7YrCd6cbJvUtKba0aMiShC/n64qJWyW6DZ58pYM3P+nCMGCPahunTfdQ6P8qQTCSuNuewl//Z9TuOjRbOa2V/0NX7nT4avatvcPAMEwKchXyfCo5LhlZlFYWBGEUbfeuhLlz5/L5559v9xt/+OGHnHvuudv988L2SyQSJBKJsR7GiNrRMSmyRHmhhYnlVuw2iZag9vWOhK/YbTI/PdbLzT/P58Rpbr7ckuSGhW0893pHuqWzbCVWcAaNkx+h03sEarKRoi8vJG/jlUhaB8lkEpdNw2WXaQzqfLG5m883drOxPklLSEM3Mi9nF9deZhAxZY6xiGvAxODQQw9lzpw5XHDBBSxdupRoNDrkwWKxGP/4xz8466yzuOCCCzjiiCNGdLCjwTCMoV+UYWpqaqipqRnrYYyosYhJkiTyc1UmV1gpzlcJRXUS3X2vF69b4bhD3Pzuwjz2nWznhTfjPPD011sbU86JNE9eSFvlDehqgJzWRyn/9GgSm56hsbERhz3dqdHlkOnsNmlo01hfm6SmMdUnGdnZiWsvM4iYMsdYxDXg4sM5c+Ywc+ZM/vznP/PrX/8awzDYZ599mDx5MmVlZbjdbgzDIBwO09jYyCeffMK6deuQZZmTTjqJW2+9leLi4h0ZiyCMCoddpqrYiiynaGjVSGombmffWwtet8LcE31UFcf5x4oO/vT3EHOO91KSp2LKdqJFc+jyHEhezfU4Ot5ij66raXSegK79EVN1Y7fK2L8qbpboNtjSkiLRbVCcb8HnlrNiDYIgCDu/QXclFBQUcPPNN3PVVVexZMkSXn31VZYsWUIqler1OqvVyv77788VV1zBiSeeSCAQGNVBC8KOZlElqoosWBRobddpDmrkuBRc/SxMnH6Ai4BX4aEXIty4sI3D9nMy82AXOS6FlGs3miYvIqf5EZy1d1HW+ST6Zx/TOv5WEjk/6DmG3SYTUCSCUZ1IvJt8n0JpvqXXLglBEITRMKztin6/n5/97Gf87Gc/I5lM0tzcTHt7O7Isk5eXR15eHqoqNmQL2U1R0q2c83wGre0a9V/NHvT3bX6fSXaqy6wsfa2DVe938sbHnUzbx8nxh7hxOVxEii9iQ6yS6uhdBLo/oXjN2UQLziJUdjWm6gTSyUihX6Wr26ChVSPWZVJWoBIYRudGQRCE7bXNn+ZWq5Xy8nLKy8tHYzyCsNNz2tN9D+w2mdqmdEEkn1vGZu39bd7jTC9OnH6Ai+Vvx1j1fifvr0kw53gv3xtnI2adwmf+W9jDuhJf81/wNj2IM/IKLeP/RLdnas9xHDYZm1UiFNFZV5ukIFehwK/icYrbC4IgjLxdfrtiNtYx2LpQNCcnZ4xHMnJ21pgiMZ3GNo1QVMc00+sMvt2MaavaphSLngvTFNQ55vsujtwvvfvB7XJhi31AoPYG7B3vYSpOwoXnEy67HFO29zpGV7dBJGZgt6bLNRflqditO8/thZ31PH0XIqbMkI0xwejEJeoYDELUMRBGgm6YhDsMmoMpQh0Giizh88i9WjlvlUyZPLEiyusfdTGlysoFJ/p62jHLWhhv4/+S0/w3FC1M0rkbLeP/RNK9d5/jxLsMonEdr1uhtEAlT9xeEARhmHZYd8Xt9fzzz3P88cez1157MXPmzAF7MmwVCoWYP38+P/zhDznwwAO5+OKL2bx583a/fzbmRZ2dnXR2do71MEbUzhyTIksEvAqTK21MrrDicki0tmvEu/pubbRaJH56rJezZ+bwZV2S6x9s5d+fdWGaJobqo73sKponPUi3e1+snasp+eJ0cuv+hGR09zqOyyF/tf7A5Mu6dGMmbSdozLQzn6ftJWLKDNkYE4xNXGOaGCxbtowrr7ySQw45hHvuuYcDDzyQa665huXLl/f7etM0+cUvfsFrr73GlVdeyS233EJrayvnnHMOkUhku8aQjYlBXV0ddXV1Yz2MEZUJMSnK13UPKgotJJLpbo39OWRvJ+fM6CbHqfN/z0e447F2moIaSBKJnINpnPw3wsU/AyRy62+n5PPZWOK9C47JXyUkNqtMTaPGl3VJwt/qDrmjZcJ52lYipsyQjTHB2MQ17MTgtddeQ9f7/yO3vW6//XZmzpzJtddey7Rp0/jd737HzJkzufPOO/t9/ebNm/nggw+46qqrmD17Nocffjh33nknzc3NrFy5ckTHJgjby2aVqSy2ML7UiixBW7j/KoYFPpOzj0ryk2NyqGtKceOiNp56pYO2sIZhCRCq+DVNEx+g27UntvhHlH5xKr4td4OR7HUct0MmN0ehNayztqabzRlYGEkQhJ3HsBODiy66iB/+8If8/ve/H5HFenV1ddTW1nL00Uf3evyYY45h48aN/WZI3d3p6VSXy9XzmNfrBb5uNCEIOwNJSm81rC614rTLtLXrBCN6n+l+SYJD93Vy/UV57DfFzkvvxLnu/jbu/Uc7bRGDhO8wmib/jUjheWDq+Lf8gZLVp2LpXNfrOFZL+v2s1vROiY31yX5vZQiCIAxl2InBAw88wKGHHspzzz3HWWedxRFHHMFtt93GmjVrtuuNN27cCMC4ceN6Pb61S+OmTZv6/MyUKVM46KCDuOeee9iwYQOhUIgbb7wRp9PJUUcdtV3jEITR5Pcq7FZlZWKFFY9TIhjWicT6TvfnuBTOn+XjxkvymXmwi7W1SW5YFOSNjzvRLAUEq26gufpuks7dsMfeo3T1yXgbHwCjd7Exl10mz6fS0p6ePahtEgmCIAjbZth1DA477DAOO+wwkskkr776Ki+88AKLFy9m4cKFjB8/nhNOOIHjjz+eioqKYR2vo6MDALfb3evxrbMBsVis35+7/vrrueCCCzjuuOOAdF2Fe+65p9+6CltXXg42BqfTydq1a3s9npubS0FBAYZhsH79+j4/FwgEyMvLQ9M0NmzY0Of5/Px8/H4/yWSy3wSnsLAQn89HIpHotwZ2cXExOTk5dHZ29jtzUlpaitvtJhaLUV9f3+d5XddRFIVoNEpjY2Of5ysrK7Hb7YTDYZqbm/s8P27cOKxWK6FQiNbW1j7PV1dXo6oqbW1tBIPBPs9PnDgRWZZpaWmhvb29z/OTJ08GoKmpqc/aEFmWmThxIgCNjY09W3W2Lr7ZsGED1dXVANTX1/e5TqxWa0+yWVdX12fRjt1u70k+a2pq+jQncTqdPdfSpk2bSCa/NW3vdlNaWtozFk3Tej2fk5PTUwp8/fr1vXpxSDrk2HPQ8NHSrtPZlUCW6LV4NicnhxMP9fODPe08+HQLjyyL8tZH7cw8IIXHOZn84rupjC7EHXwa36brof5Z1nrnkbCkf+9yc3Pxer3kegy+3NjA2i8l7FYTjxNynCYTqgrw+3PFtbeLXXuQnl0tKirqFdM3//aJv3s737UH6XP1zR1HI3HtGYaBLA88L7DNiw+tViszZszgjjvu4O2332bBggVMmDCBu+66i2OOOYYf//jHLFmyZMhuUFu/MX17i9XWx/sb9IYNG/jxj39Mbm4u99xzDwsXLuSII47gl7/8pdhy+A0FBQU9f0Cyhc1mw2azjfUwvhNVgcJciQnlVnJcMp1JG6pq7fe1Aa/CmUekmLFfiroWmb8ss7G5SSZlKaZt3M00Vd1Op1pFbvd/2D94ESWxfyCZX39QyJKEyw5+j5le5xCRqGmWqW/teztjJIlrLzNkY0zZeO1B+lw5HI4d+p7bXcegvr6eZcuWsXLlSj7++GMAvv/97yPLMm+//TaBQIC77rqLvffuuwcbYNWqVVx88cUsXbq0J5MC+PzzzznllFNYtGgRhxxySK+fue6661i+fDkvv/xyz9oC0zT5yU9+Qnd3N0899dQ2xSDqGAhjJdZpsKkhSSiq4/MoOGwD5+gt7Rr3PxWmJaRx3iwf+09JFz1SEzXkbrkVd+ifSGaSTu+htFbejO6o7Pc4nQmDaMygMKBQVWzpU6lREIRdw4jWMWhoaGDhwoWceuqpHHXUUdx2221omsa8efN47bXXWLhwIQ8++CAvvPACuq4zf/78AY+1ddqjtra21+Nbp5i+vfZg6/tXV1f3JAWQnnHYf//9+fLLL7cllB7ZuF0xFosNeCsmU2VbTG6nTLE/hd+dIt5l0BbWBtxJUJCrcsVP/VQUWfjLM2EefTFKe1RHs1fSOv52WsfdRso2Dmf4FcpWn4ineTGYfXcQOe0yfq9CU1BjY32Krn5aSH9X2XaeQMSUKbIxJhibuIadGJx++ulMnz6dW2+9lc7OTi699FJeeukllixZwtlnn92ro2JlZSUHHHAAbW1tAx6vsrKSsrKyPjULXnzxRaqqqigpKenzM+PGjWP9+vV97s98/PHH2z2FlI2JQX19fb/34DJZNsYUbG1ANZqZWGHF65aJxHVaB9ja6LLLXHaGn2n7Onj9o06ue6CVJ1dGSaRUYvmn0DT5/4j7T0DWIuRvnkfR2vNRuvv+f1kt6VoLre0am+qTvRZCarqJ/h1vM2TjeRIxZYZsjAnGJq5hLz5sbm7m3HPPZdasWXzve98b8vWnnHIKP/3pTwd9zS9+8Qvmz5+P1+vl8MMPZ+XKlSxbtow///nPQLrKYW1tLRMmTMDtdnPuueeydOlS5s6dy0UXXYTdbufZZ5/l3Xff7fkZQcgksgT5PhW/RyEcM6hvTdES0gh41T49F6wWiZ8c4+WY77t54Y0YL73byburE5x5dA77TKqmZcLduFufwtdwN87wi5R9/gnB8muJ5f0IpK+/A6hfFWJqC+t0dHbj8ygoMnR0mbgdEuNKrKiKKK8sCLuqYScGf/zjH5k0aRJ+v7/f5xsbG3nvvfc48cQTAZg2bdqQxzzllFNIJpMsWrSIJ554gvLycv74xz/27DhYtWoV8+fP56GHHuKggw6irKyMRx99lFtvvZV58+YhyzKTJk3ir3/9KwcffPBwQxGEnY6ipKsYOu0Sdc0pmkM6VlXC65aRv9VzIeBVOOd4L9P2dfD3f0W5/6kwx/7AxYnT3HQU/oSEZz/8dTfjCr9CwcYrcLa/RLDqBnRrYa/3KwykWzq3hdO3HawWicZWA1VJUVlk6fO+giDsGoadGJx33nnceuutnHDCCf0+/8Ybb3DjjTf2JAbDdcYZZ3DGGWf0+9wpp5zCKaec0uux6upq7r///m16D0HIFA6bTHWplRyXTlNQo6Vdw+dWsPezOHFciZWrzw7w2EtRlr8dZ1NDinOO8xLwTqFlwr24W58gt+Fe3KHnsMc+IFhxHfHArF6zBw6b3Gvho1U1qG/RUGQoClgG7BQpCEL2GjAxqKur49577+35t2maPP7447z55pt9XmuaJu+++27WtbsUhLGgKBJFARWfR6a+VaOxVSOpmeS4lD6vtagSZ8/0Mr7EwpIVHfx+YRunHunhh3s76SicQ7d7f/x1N+GMvkHhhl/S0f4iwcrfYVjz+n1vh11GN2Fzg0Y4ZlAcUMnzic6NgrArGXS74ty5c3sSAUmSBlyoJ8syfr+fK6+8ktmzZ4/OSEfB1KlTMU1zREo870y2FrdwOp1jPJKRs6vGpBsmTUGNuqYUiiLhdfdNDrZqC2s8sizKmpokB+/p4MxjcrCoEpLWgadlMb6m/0VNNqLZKmir+C2d/pnpmsz9va9uEo4ZmKZJWYFKab4FZRjrDnbV85RpREyZYzTiGmq74rDrGEyZMoVbb72VWbNmjdjgxpqoYyBkisY2jY0NSVx2Gad94M1Ehmny/Osx/vlWnLICleMPcbP3RBuyBLbYh/jr/oAj+hamrBILnEyw/NcY1sCAx4t3GcQ6DYryFErzLYO+tyAImWHEEoP6+noCgQB2u33kRjfGsnXGYGs5zWy6tbOrx2QYJrVNKWqbNKxWCYsq4bRJA36L/2hdgn+s6KAtopPvU5h9uIf9JttQ9Ag5TX/D27wQJdVKyjaOtqrf0eU7asDZg2TKJBTR8LgVSvPStxYGWpi4q5+nTCFiyhyjEddQicGAawzee+89qqure3YhNDQ00NDQMOQbHnDAAdszzjGTjXUMttYJz6ZfkF09JlmWKCu0oCgQjRt0J01a2nU8TgW3s++3+H0m2dlrgo2P1nXzwpsxHnwmzMRyCz891otR+ksSOd/HX/dH7B3vULT+YqJ5p9FePg/DktvnWFaLREFAJdxh8OWWJImkSmmBBaWf5GBXP0+ZQsSUOcYirgETg7PPPrvXrYOzzz570AVIpmkiSRJffPHFyI9SEARURaK8MN1boTtp0BzSaApqNIcM8rxKn9kDWZbYb4qdvSfZePPjLp59tYP/+Wsbsw/zcMTUA0lOepCcpkX4mv+Gt+UhnNG3aKu6kS7voX1mD2RJwp+jEO8yqG3S0A0ozRe7FgQhGw2YGNx8883ss88+vf4tCMLOwWaVqSiykuNS2NKSojWskeNS+l0DoMgSh+7rZO+JNh5ZFuWJFR2sq01y3gm5GGVXkPB8H/+WW3HE/kPRuvOJ5p9Je/nVGGrfbyguh4wsQV1TetdCnlcmP1fFLvouCELWGDAxOPnkkwf9tyAIY8/nSScD9a0pmoIa8YSBP0fpd5rf61b4+ak+Xnm/kydWdHDrIyHmnuSjJG8azc5JeBsfJKd1Md7mhTiib9BadRPdOT/oM3vgsMtYLRKxLoON9SnCHQaVxZZ+t1MKgpB5hl3gCNK3C7Zs2dKrZ/iSJUtQVZVTTjml38ZHgiCMLqtFouqrD+atJZUL/Gq/yYEkSRw51UVRQOUvz4S54S9t7L+bnZkH+ymtmE9Xzg/wb/kT9viHlKybQ6TgbNrL/h+m4u51nK1bJ91OmdZ2nZSWpMCvEo6RLq/caWCzSOJWgyBkoGHvSmhqamLu3LlYrVaefvpp2traOO6443pWTDocDhYvXjysPgo7i2zdrphIJACyageJiGl4uroNvqxLEo4ZFOQOXpioo9NgxXtxXnm/k+6kyb6Tbcya5qHC04y34X48bUuQ9Sjdzj1oq7qJbs/UfncumGa65kF30iSVSqLIEjabhRyXzIQya8a3dxbXXmbIxphgdOIasbbLt99+O42NjZx55pkALFmyhGg0yh133MGKFSsoLi7mrrvuGoEhC9+V3W7Pul8OEdPwOGwyFUUW7FaJ9g6DroS5Gu8aAAAgAElEQVQxYDtnj1Nm9mEebrokn+MOdvHF5iR/+FuQ9zYHCFb+hpbqO0k698Te+SnFa88id8stSHq8z3EkSSLXo1AUUCkrdFAYsON2yLSFdeqaU9+5Y+NYE9deZsjGmGBs4hp2YvDmm28yZ84cTj/9dABWrlxJcXExxx57LKWlpZx++ul88MEHozbQ0ZKN2xXD4TDhcHishzGiREzD53UrlBdasKqQ1EyicZ3Wdg1tgA9ol0PmxEM9/P6iPErzVR54OswLb3UTyTmGpkkPEimYg4RBbv2dlKw+DVts4N/zWCxGZ2cMm1XGn6PQGNRpaEtl9O+ZuPYyQzbGBGMT17DXGHR0dFBWVgZAMBjk888/57TTTut53uFwoGnayI9wlGXyH6yBNDc3A+Dz+cZ4JCNHxLRtigIquR4Zw4SuhEljMEVbu47TIeFxyv3eYshxKVx+pp+Hl0V47o0Y//6six8dWcg+E26gK+dgchvuxB7/gOI1PyVceBGRkp9hKo5exwgGgwB4PB5sVhmXHeqaNSSgtMCSkT0XxLWXGbIxJhibuIY9Y1BSUsK6desAeOGFFwA44ogjep5//fXXexIHQRDGns2a7pzo9ypMqrAxvjT9PaA5pJPS+k+IrRaJuSf6+K/Tc7GoEvc/FWbJygRR/4k0T3yQaN4ZSEY3/vpbKV5zBpb4Z4OOwe2UsVllaps1trSkBrytIQjCzmPYMwYnnHAC9957LzU1NbzzzjsUFxczbdo0amtruemmm3j11VeZN2/eaI5VEITtZFElygqt+DwG9a0pmkM6XnfvlsvftPt4G1OqrPxjRQcr/9NJQ5vGOcdVoY3/A505h5DbeDeO6L8p/eJ02ot/QbR4Lqbc/31Qj1NGAjY1arRF0rUPfB4Vl10asLSyIAhjZ9iJwaWXXoqiKDz//PPst99+XH311aiqSiwW4z//+Q+XXHIJc+bMGc2xCoLwHbmdMuNLrVjUFA2tGsmUSY6r/1sLiizx4xk5lBWoPPZSlN892MZxh7iYfsCpJN174qu/E3f7MgJ1N+GMvEJb1Q2Ao++bfvW+DtvXtQ/sNo0cp0LhV7c8MvEWgyBkq22qY3DJJZdwySWX9HpsypQpvP3221gslhEdmCAIo8OiSlQWW7DbZBpbUzSHNHweZcDqhYfs7WRypZUnVnTw9KoYb3/axZlHj2PK+D+RaDsEX8N9OCOvU7L6dLpsP6He/aN+j7O19kGOSyaRNAlGdaJxnUK/SokorywIO41h1zHIRtlaxyCZTAJgtVrHeCQjR8Q0OmJdBk1tKZqCOk673G9Dpm/65MsEj7/UQTCic8D37Jx6hJt8eQ25W/6MK/wymBpxzzSC429Ac0wc8v3jXQbRuE5Brkpl8c7Z1nlnOE8jTcSUOUYjrhFru5xMJrnrrrt47rnnCAaD6Lre92CSxOrVq7/DcHesbE0MBGFb6IZJY2uKLS0aSNKQU/vJlMnyt2O8+E4cVZU4fbqHQ76n42l9HF/Tg1gSm9GsRbSXXE608CcgD/4HLaWZBMMavhyF0nwLPrc8YDtpQRC+u+1uu/xtt9xyC4888gjV1dVMnTo1a7KybJwwCYVCAD0ts7OBiGn0KLJEaYEFq0WmtjlFW1gn4FOQB0gOrBaJEw/1cNAeDhYvj/LQP6Ns2OLgx0edT1CaTGHrAnydb5FXex3OyEraKn+H5hi4XLpFlSjwqwQjOms7u/E4ZQr8Knm+/ns+7Gg7y3kaSSKmzDEWcQ07MVi2bBlHH3101lU3zMbEoLW1FciuXxAR0+iSpPSHs8UiUdOYojmooaoSdquMZ4DbC4V+lcvOyGXp6zGWvx3n0w3d7F4xjv3HX8chZa/ibf4rrvZ/Yev8lFDZVXTknQZy/2uRZFkiP1clpZl0xA3W1yaJxhVK8iy4HGN7e2FnOk8jRcSUOcYirmEnBvF4nGnTpo3mWARBGGO5HgWrKhGO6XQmDEIRnWjcHLBzoixLzD7Mw25VVla818m/1+i8uzbA2qlnM3vPAyhrux1H5A3yN12Ds30Fwcrr0ezlA76/RZXwexW6kwaNrRqxLpPyApU83zatkxYE4TsYdiq+xx578NlngxczEQQh87kcMqX5FiaW2ygvspLoNunqNgb9mcmVNn5+ai4/O6Gb71XqvPxuJ/Mfq+JF6W6CZVeiqwHcoecpWX0y7tYnwBy8SqrNKlMQUOlKGGzYkqS2KUlXYvAxCIIwMoadGFxzzTUsX76cxYsX99zzEAQhuxX5FUryVcIdOh2dxpC33rwuOP4gjfnnBvA4Ze55RueeT8+lvmoBnTnTUJONFGy8goL1l6Ik6gc9lixJ5PlULKrMpoYUqzd1s7khSXdSJAiCMJqGPT939dVXA3DjjTdy44039vuaTNuVIAjC4GRZoqzAgixBW0Tv2dbocsiog+wcqCiyMG9OgOffiPGvf8eJxHbnZ8ctIC/0N3JaHsETegZ7/EOC5fOJB2aB1P+tCkgXR3I6JOJdJrXNKeIJg7ICC173wD8jCML2G/Z2xXnz5g2rOtnNN9/8nQe1o2TrdsWtzaxUNXvuy4qYxl68yyAY0QhFDWJdBpIEXpfSqzBRfzG9/lEnf18eZUK5hfNO8FBqvEluwx3YO97DlKzEA7MIll+Lbisecgy6btIW0XHY0glLQa4y6mWVM+08DYeIKXOMRlwjVscgG2VrYiAIoymlmURiOi0hjVCHgc0iDfnt/Z3Pu3hkWQSA6Qe4OHKPDqpiC8lpfRRFC5G0jSdU8Svi/pkgDX6H0zRNIjGDlG5SHFApzVexDVC1URCEvkY8MQiFQrz11ls0NDRw3HHH4XQ6aW9vp7q6+ruPdgebOnUqpmny/vvvj/VQRlRbWxsAeXl5YzySkSNi2vnouklzu87mhiQOW/r2wta+8f21iA1FdJ5+tYP3VieQgEmVFk7f+wsONG7GFvsAU7bTETiF9op56Jb8Id+/K2EQievkuBSK80av7kGmn6f+iJgyx2jENWIFjgAWLVrEnXfeSXd3N5IkseeeexKPx/mv//ovzjjjDH7zm99kXDOUbJwwCQaDQHb9goiYdj6KIlEcUNA0lZomDd0waW0Loyr9JwZ+r8LcE32c8EONdz/v4q1Puvif5yYw66AHOLPif/EFl+BtXYyj413aKq+jy3fUoLMHDruM1SoR6fi67kFp/siXVc7089QfEVPmGIu4hv0b9Nxzz3HLLbcwY8YM7rzzzp4P1N13350ZM2bw2GOP8fDDD4/aQAVB2PlIUrpqYmm+iixBV1Ii1CGRGGTnQKFfZdY0D7+Zm8cB37Pz7L9VfvvvX7Kx+E8kXPtgTaynaP0lBDZdi5xqG/T9FTld98DnUWhs1VhXm6QpqNHRaaAb2Zf0C8KOMOzEYNGiRRxyyCHcdtttHHjggT2PFxcXc9ddd3HYYYfxxBNPjMogBUHYeSmyxPhSK3tU2xlfbJDvM4nGDNo7dIxBPpwddpnzZvk457gcNtRr/Ob5A3nXcx+RgjmYkoKv5f8oWX0ajvZXYIiZPatFoiCgkug2WVvTzeqNCdbVJGkLa+i6SBAEYVsMOzHYsGEDRx555IDPH3HEEdTV1Y3IoARByDxWi4TLDqUBkwnlVqwWiZZ2nUisb8O1bzp4Lyf/7yd+kimTGx5z8Jv3ruId5110O/fA1rmaovUXEqj5LbLWPuhxZCk9e1AUUHHYZUIdOmtrk6yvSxKNDz4GQRC+NuzEwOVy0dHRMeDzDQ0NOJ3OERmUIAiZS5ahKKDyvSor1WUWTCDcMfgH8/hSK9dfmMfsw9zUNRv87oV9eCLxv0QLzgRMvE0PUrz6dOyRN4acPZCkdI+HfJ+K16XQGtZZV5ukoU0bdAZDEIS0YS8+nDZtGn//+9857bTTkOXe+cSaNWtYvHgxhx9++EiPb9R9O5ZsMHHixLEewogTMWWGb8Zks8qU5ssossTG+iSxLgP3IA2RnHaZY3/g5rB9nTz4bJi/rYS6/a7j7D2/T0HL/djjn1C07nwiBecQKb0UQ+27wPHbrBaJglyFaNxg45YkyaRKeaFlm9o6Z/t5yhbZGBOMTVzD3q7Y3NzMqaeeSiqV4oADDuDll1/mmGOOQdM0Vq1ahdvt5oknnqC8fOAGKTsbUcdAEEafaZpsaUlR16yhG19VMrRJg+5g0g2TJ1d2sPI/nZQXqFw0o5Xdu+/GFVqGZCTodu9LW8Vv6fYcCMPcCdWZMOiIGxTnKZQVWrCL2gfCLmpE6xi0tLRw++23s2LFip7bCg6Hg0MPPZQrr7wyo5ICyN46Bi0tLQAUFBSM8UhGjogpMwwUk26YtEd12jt02jsMurpNcj3ykB/On6xP8NA/I3SnTH50mJUTypaS2/wXrF3r0dVcIoXnEyn5GYaaM6zxJZIG7VEdn0ehrMCCP0cecov1rnSeMlk2xgSjE9eI1jEoKCjgD3/4A6Zp0t7ejq7r+P1+FCVd9SyZTGK1Wr/jkHesbKxj0N6eXqSVTb8gIqbMMFBMipxuiJTnU+noNGgKpmhp1+nsMvHlyMgDfDjvNdHOdXMtPPTPCI+tSPLZ+BO54PB9qQgvwNX+IrkNd+CIvkFbxW9JevYbcvbAbpUp9EuEojrra7spL7JQHFAHLau8K52nTJaNMcHYxDXsubTp06ezYsUKIL24x+/3k5+f35MUPP/880ybNm10RikIQtbwOGWqS61MLLNis0m0BDWSqYETdK9b4dLTcvnxDA9rapJc91gxK80/EKz4FSlbJY6OdyhZdza++juQ9NiQ7y9/laRYLDKbG1NsaUnRlRB1DwRhqwFnDEKhEBs2bOj5d319PZ9++ik5OX2n7AzD4KWXXiKZTI7OKAVByCqyLFHgV3E7ZepbUzS26njdMo4BqhZKksQR+7uYXGFl4dIIC55OsfbAMzhj/33wN92LK7wS/5ZbcUReJ1j5W5KuvYacPfA4ZWQJNjdqNId0rKpESb5Kfm52NeERhG014G+AzWbjiiuuoLW1FUj/Yj7wwAM88MAD/b7eNE2OO+640RmlIAhZyWmXGVdiRVVS1LdoxBIGiizhsEk4bH2ThJL8dDvnJ1ZEeendTuqaJzB35m2UuR/F2/IQzuib2Nb8lPbiS4gWnYupuAZ9f5dDxm6VSKZM4gmDzY0pZFki4BUtnYVd14CJgcvl4r777mPdunWYpsm1117L6aefzr777tvntbIs4/f7+cEPfjCqgxUEIfuoikRlkQWHTaajUyeZMmmPGmDS7wyCRZX4yTFeqoot/P1fUa77q8SsH57HsRP2I9B0D87oawTqbsIZeY1g5XUkXXsM+v6KIuFQJBx2mbawRk1jkq7u9LoDu1XCNIe98UEQssKwdyUsWLCAo48+mkmTJo32mHYYsV1REHY+umFS25SirknD71WwWgb+VG4OaTz+UpTVm5KMK7Ew95gUE1OL8bQsxtJdj2YtIlz8C6KFZ2MqjiHf2zTTSUlSM8E0sVnTtxdK8rat9oEg7MxGvO1yNhGJgSDsnDTdZFNDksY2DZ9HGXRbo2mavL8mwd//FUXT4aRpTo6p/oD85gU4om8BEp2+wwhW/IaUc/I2jSPWaRBPGBQFFCqLrIMmKYKQKUZ0u+Kjjz7Kc889R1tbG7ret8SpJEm8/PLL2zHMsZONeVFTUxMARUVFYzySkSNiygwjFVP69oIVWZKob9PwONLrAfojSRJTd3NQXWrl4WURnlgZZ8V/duOk79/JjKKHyQ3+HVf7y9jiqwmV/JJY4ZmYsn1Y43A7ZaLRIKvXg67nUVls6XftQ6YR117mGIu4hp0YLFiwgAULFuD1ehk3bhwWi2U0x7XDZGNiEIlEgOz6BRExZYaRjMlqkagqtmBRob5VI5E0yR2k5kFujsJ/nZ7Lmpokz7wa468vGizzn8+P9z+M6Tl/xN7xDvm1v8EVfZVg+a9IOYdXajaZiGORoCXkoztlkudT8LqVQcs77+zEtZc5xiKuYScGTz75JAceeCB/+ctfMq6IkSAImUlRJMoLLTjsMvUtGi1BDb9XHXBKX5IkdquyMaXSykfruln6eow7X6ri7UkL+Nkef6MkuhhXaBnW+Ge0l15OLP9UTNk25DhUBfJzVaJxgy/rkrgcMmUFFgpylUGLIwlCJhp2YhAMBvn5z38+4knB888/z3333UddXR2lpaVcfPHFzJ49u9/Xzps3j6effnrAY61du3ZExyYIwtiTJIl8n4rbLrOlNUVTUMdhk8hxDbylUJIk9p1sZ6+JNv717zgvvBHjsvq5nLbvkczy3YQz9h75m+fjjKwiWD4fzTF+yHEoikRujoJpykTjBhvq07sXivzqgPUXBCETDTsxmDhxIps2bRrRN1+2bBlXXnkl55xzDtOmTePll1/mmmuuwW63c+yxx/Z5/c9//nPOOOOMXo/V1NQwb948Tj/99BEdmyAIOxeHXWZ8iRWnXaOhVaM5pBHwKqiD7BZQZInjDnazZ7WNR1+MsvCNKl7Mv4/5Bz3E+K6HcAeXYot/QnvJ/6Mj/2SQh/7iI0kSXrdCV8KgrjlFe1Qn4FUo8KtZsf5AEIadGFx22WVcfvnlHHTQQRx22GEj8ua33347M2fO5NprrwXSrZ0jkQh33nlnv4lBRUUFFRUVPf/WdZ0bbriBKVOm8Ktf/WpExpQNsrGVtIgpM4x2TIoiUZpvwe2Q2dKSorVdw+Ma+n5/eaGFq87y858vEjz2YpRrVp7PFdOnsr9xO/b4h+Rvvhp79FXay65Bc1T2+tmBYnLYZWw2iVhnujBSJG5QXmgh17PzF0cS117mGIu4hr1d8YILLmDdunW0trZit9vJzc3t05VsW3Yl1NXVcdRRR3HHHXcwc+bMnseXLVvGZZddxssvvzxkt8bFixdz44038vjjj7PXXnsN632/SWxXFITMlUyZNLalaA5pdKfAn6NgUYe+398c0rh7STuRmM7sg7r4UdH9+MJPo2gRUvbxBMuvIu6fBfLwF1jrhkkoomNRoSigUuhXsYm2zsJOasS2K3Z3d1NZWUllZeXQLx6GjRs3AjBu3Lhej289/qZNmwZNDOLxOHfddRcnnXTSdiUFgiBkNqtForLYitet0NCaoi2i43HJuIa431/oV7nmnAAP/zPCE2/Ca7lXcPbU6RzuuhVb/BMKNlxBLPwq7eVXodnKhjUWRZbIz013jtzcmCIUNSgKqAS8w0tWBGFnMuzE4OGHHx7RN+7o6ADA7Xb3etzlStc2j8UG75L25JNPEo1Gufjiiwd8zdasaLAxOJ3OPosWc3NzKSgowDAM1q9f3+fnAoEAeXl5aJrWq9HUVvn5+fj9fpLJZL/rMgoLC/H5fCQSCWpqavo8X1xcTE5ODp2dndTV1fV5vrS0FLfbTSwWo76+vs/zDocDi8WCy+WisbGxz/OVlZXY7XbC4TDNzc19nh83bhxWq5VQKNTTK+ObqqurUVWVtrY2gsFgn+cnTpyILMu0tLT0tAz9psmT00VmmpqaerbibCXLMhMnpreRNTY2Eo1GAXoadDmdTqqrq4F0Y69vXydWq7Un2ayrq6Ozs7PX83a7vSf5rKmpIZFI9Hre6XT2JKSbNm3q0xjM7XZTWloKwIYNG9A0rdfzOTk5FBcXA7B+/XoMw+j1vNfr7dl29Omnn/aMeStx7W3ftWfqoHdJdCmldCdNzFS452/MN1VVVQHQ3RniuKkxJpfIrPhQ5baX9uK5onv4f/s9RFXiMdwtjyIF32aj52KaLQdjSip2u52ysvS10dLS0ufaslgslJaW4rJLrN/UzJr13bgdJvleE59bXHvZeu1tNRp/9yD9t0+WZXbffXdgZP7uGYYx6C2KMZvr2noH49u3I7Y+PtR9lcWLFzN9+vQ+Mw5COqn65oWVDTRN6/OHMNNlY0xjde2pChT7TcaXWlAVCEVhODdJq0sM5h6b5Ih9Umxq83D5yktZpd5Bp3UyLm0Tu4V/z8TIbSjdfT9oBiLLEl4XeJ0mnQmJ+jaJYFQa1nh2FHHtZQ5N00ilUjv0PQdcYzB9+nSuvfZapk+f3vPvIQ+2DWsMVq1axcUXX8zSpUt7MimAzz//nFNOOYVFixZxyCGH9Puza9as4aSTTmLBggXMmDFjWO/Xn6lTp2IYBh988MF2H2NntHUG5Jv/r5lOxJQZdoaYwh06NU0pwh06dquMyyEPq5Rxa7vGfU+FaWzTOH6/GGeWLSCvYylmqoO4ZQLxCb+lM3cGSNu2uDDcoWMYJuVFFvJ9A9dg2JF2hvM00rIxJhiduLZ7jUFJSQlOp7PXv0fS1m/6tbW1vQLeOsU02EzAqlWrcDqdI7Y7QhCE7OHzpBsvtXfohCI60biObkCOUx603kB+rsrVZ/t59F9Rnn8fXlk9j5P3OIETndfhTa3H/eWldOSfRnvpf6Nbh1+FzudRiMZ1Nm5J0dKuk+eVeyoniuJIws5owMTg22sKRnqNQWVlJWVlZSxfvrzXt/4XX3yRqqqqQRORjz76iD322ENUYBQEoV9Ou4zTLlMUUInEDIIRjWBYJ9Zl4M9RBuyUaLfKnDfLx5EHpHj21Q4eeW8Pltof5/xJf2Vm4K94m/+KreM9QuXz6PIdMezZgxyXgsthEus02Fifwm7VyHEplBVa8DjF7gVh57JNTZRG2i9+8Qvmz5+P1+vl8MMPZ+XKlSxbtow///nPAIRCIWpra5kwYUKvRYrr1q0TswWDUNUxPa2jQsSUGXa2mBRZwp+jkOuRCeQYNLSlaGlPd2wcrBhRZZGFX/7Yz9qabpa8FOSOTy7m1ZLjmT/lanLjn1D05SVE8s8kUnIpurVg2GPxutN9FhJJg7aITlfSoKLQQsCr9FlvNZp2tvM0ErIxJhibuMa87fJjjz3GokWLaGxspLy8nIsuuqinJPJTTz3F/PnzeeihhzjooIN6fmbvvffm3HPP5fLLL/9O7y3qGAjCriWZMtnSkqKxVcNul4f1bd0wTV77sIunXokiYzBnyhJO9N+NVYqTcO1DsHw+Ce80kLbtm79pmoSiBhImhQGV4jx10PbSgjBShvrsG/PEYCyJxEAQdj26YdLYmqK+VUPT010ZByurvFVLu8Yzqzr4YG03ubYIv9t7Prs53kBXc4kUnEWk5BIMS942jyeeMIjGdLxuhbICdYfPHgi7nqE++3b59PTbe32zQX19fb/7fDOZiCkzZEJMiixRWmBhYoUNn0cmGE4vUBzoO1JLSwstLS0U5KpcdHIu150fIJCfxy/fvZcH6m7E0LrxN95L0dpzsUfeGN4+yW9w2WUK/SqdiXTnxi0tKTR9dL+vZcJ52lbZGBOMTVzZeVNmFzdUcahMJGLKDJkSkySl1x54nDIt7emmTC3ter9llb9dLKa0wML/+4mff/07ztNvzOKtlh/wP3tfQVnHuxStv4hI4RwiRRdiWPzDHo8sS+T51HTfhQaNaNygwK/i9wy8UPK7yJTztC2yMSYYm7h2+RkDQRB2XRY13ZRpcqWVfJ9CMKwTTww9iyjLEjMPdnP12XlolkLOf/Nv/K3h1yS7u8mtv5PCdedji76zzbMHbqeM36sQiRmsrUmysSFJIpl9s5rCzm3IGYOuri6efPJJXn/9ddasWUM4HE5n234/kydP5qijjmLWrFli66AgCBkrx6XgtMs4bOm1B93dJr4cGXmIe/2VxRZ+dV4ez70RY8kHp/H0pmP41e6/Yaq5iqJ1c4kUzSVadB6G6hv2WCxqevagO2nQ0KqRTJmU5lvwuGQUUfdA2AEGTQzee+89LrvsMoLBIFarlYqKCkpLS9E0jXA4zKpVq3jllVdYsGABf/rTn9hvv/121LgFQRBGlKpIVBRZcNpl6lpStIZ0vG4ZTQdlkLlVm1Xm1CNzOPogF0tftXPtx3cyu+JpLqz6A/4tt+KIvkWofB7d7v1gGxYV2qwyBbkSbRGdjng3bqdMwKuS5xONmYTRNWBi8OWXX3LBBRfgdru55ZZbOPbYY/vMCsRiMZYvX85dd93FBRdcwNNPPz1i3ReF7ZeNszcipsyQ6TFJUrpLosMus6U5RSSu061Z0HToTBg4B6mcmONSOOu4XKrLu1i8fDavN0/jyinXs7f+FkVd5xEuupCOwjkYas6wx6MoEoV+lUTSINZp0h5NEorKFOdZ8OdsW2nmb8r089SfbIwJxiauAbcrXn311bz22ms8++yzFBYWDnqQlpYWTjrpJI466ihuuOGGURnoaBDbFQVBGIiumySSJppuEorqNLZpSJKEzzP0lH5TUGP5WxHeW53g+4FXuGziDXhtMbq80wiWzSfp3mubZg+20nST9qiOqkJ5oZUivyLKKgvbbLu3K7777rv86Ec/GjIpACgoKGD27Nl89NFH2zlMQRCEnYuiSLgc6b4GVcUWJlZYcdolWtt1IjEdY5CFhUUBlXNnBbj+okJqOYIL33uS1dF9cIRfoXjdHLyNDyDp277aXFXSMxqyJLGpIUldc0osThRG3ICJQTAY3KbbAuPHj++3B/bOLhvrGNTV1fXbzzyTiZgyQ7bGtGXLFvJ9KrtV2agutaDI0BLU6BpiB0N+rspVc0qYNLGYyz74Cws3X42RCBGovZGC9ZdgjX22zTsXALzu9GLJzY0pVm/qZktzkpQ2/ONk63nKtphgbOIacI1BKpXC4XAM+0A2m414PD4igxK+m2/vu84GIqbMkO0xWS3p4kg+j0JTUKM5pNHZbZI7yA4Gq0XivBP9TBnXxeMv/YTXWg7nisnXs5v+CkWdq2kv+QWx/B9jKq5tGpfLLuOwSnR0Gmxs0Ih1mZQXWnA5ht6Fnu3nKZuMRVyijoEgCMI2cjlkxpemby/YrNAS0gf9xi5JEgfv5eRX5+dTXlXBNR/fzy2rf0d7uJv8mt9S8OV/YY2v3uZxyF81Zgp4FVraddbXJWkJaaNeOVHIboNuVwyHwzQ0NAzrQO3t7SMyIEEQhEwgSWpikJcAACAASURBVBL5PhWHVaauOUVbRMeqSnjd8oALAgtyVc4/KZ/Zh2s8sXw6//3Rflwx+Xr20ZdR1Pk57cWXEsv/Eabi3KaxWFSJglyF9g6DdbVJcnNk8nwqOU4ZxyA7KQShP4MmBjfddBM33XTTjhqLIAhCxnE7ZSZVWMkN6zQFNVpCGn6vitUy8G4Bv1flotMreeltN79+/R5mFDzDWZX3k9d9HY7o67SXXUHKOXmbxiHLEgGvQkozicR0QpEkDnv6sSK/KhIEYdgGTAxOPvnkHTkOYQTZ7faxHsKIEzFlhl01JkWRKAqoeF0ytc0pWkI6DruE2znw2gNJkjj64Dz2mJhi6YrjueLjg7h4/K1M1ZZTFP+U9pL/Jp4/G1Petv/TrZUTDcOkM2FS25SiPapTlGehIDfdSXJXPU+ZaCziEm2XEXUMBEEYOZpu0tCaorVdJ9Zl4HammzUN5fN1rTzyzwgHef/JTyv+l4Crk0TeTNpLLyflmLDd4zFMk464QVfSJN+rUJKv4nVvf3EkIfOJtsuCIAg7ULq0spXdxtkYV2JBN0xa2zUMY/DvYLtPyufaC6sIeWYy79MHeaPxQLrrVpD/xfm4W/+BZHRv13hk6asFijkKreH0AsWm4NDjEXZdAyYGl156aZ9swjAM1qxZQ1dXV5/XL126lN12223kRzjKsrGOQU1NDTU1NWM9jBElYsoMIqavOe0yFUVWJpZb8bhkmkMa3UMUI/K4VM4/dSJzThnP85GreXjzxWxu0jE//wP+DfNQE5u2NwwsqkShX8Ew4O0P63n7/dptqn2ws8vGaw/GJq4BE4OXX365T8GiSCTCySefLCoc7uQSiQSJRGKshzGiREyZQcTUV65HYWK5lZJ8lUjMGLJqIkBFRSE/n7M3exxwCI83X8HnoYm0fPlvUu9ehav1GTCS2zWWdElnBVXqpq45yebG5JDJSqbIxmsPxiauIdsuf9suvCRBEARhuzhsMuNLrbgdOo1tKZqDGm6ngtshIQ3UM0FSGL/HgUyYUMba95O8U/s5e+uvk/jPPfgq30MffxGaffua1tksIEtmT1tnr1vBbv0qaVBE74Vd3TYnBoIgCMK2U2SJ4jwVr1um7f+zd+fhUVXnA8e/997ZMluSmWyQnSUgIIKCIEtBRZG6VFHcxa3+cK17KRbX1rUqam3rrqC4FBS0CIqgWMGKCuLCJhBIAmSdyTaTZZZ7f39MMyUmgcnGZML5PI/P0947k3lfzp2ZM+ee856qAGWVQUpdQWwW5aDVClVTXwaOO4+hg5xs/MZGYsPXSLv/jcG9C+tRl1GXeCrI+nbHo9eFSjZX1QZxVasoEjgTFDJS9FgjmCwp9F6iYyAIgnAYNc09cMarlLoDlFcFqKtScdoPslOipMOXdAojThyEZ6eZzVsKGaytR/7uMRJz11GbcT0BY0a7Y9EpoaWNAP6ARlllkLoGlcw0PckJ4uvhSCVavhcym9tXNS0WiJxig8gpcqGyygYSbAqFJX7K3AGcCTr0uraH8gOmLExD/o+xyatZ9UU2A/yfIu/8hMTq76nP/R11CSeDdOiP9dbWxjdNTnTXqOze5yMYhFSH0vatjh6mN157EJ28jviOgSz3viGzzMzMaIfQ5UROsUHk1H4Oe+j+fqhzEMRmkQ++EZJswJ86jZN/vYtvv3Kwc/8WxqmrSfb+kbjML6nqM4ugse9BXzMtLa3V45IUqpRYVRtk934f9Y06khN0MXFroTdeexCdvNq1V0J1dTUAbre7xR4KYq8EQRCEjjGbZAZkGjCb/OwvD1Bbp2KJkzGbJJQ2bi8EzP0ZOTmdku3JvPPlUKY43yKr8QMSqjZRl/076hMmg9SxQkYJNgVvvUpRiZ+KqiDOeIWkhFChplgZQRA6rs3Kh4MHD271AtA07aAXxtatW7suum42atQoVFVl48aN0Q6lS+3eHVrrnJubG+VIuo7IKTaInDpH0zQqa1Uqa4NU1wbx1GvodRJ2i3zQWwxq9XZWrdmGxfMVxyWsxWg0YO93EnUZVxM0tBwd2LdvHwDp6emHjMfboOHxBjEaQ/MR+ibpiDP2vBGE3njtQffkdajKh2KvhF7I5+vYGueeTOQUG0ROnSNJEg67gsOu0OhTqfKolFcGqKoJougkEtrYuVGOH8TUMzJx79Sz7ru+HB1YiW/bRxhKd2A+6grq4yc2Gz3w+/0Rx2ONk7DGydQ1qOwt9VPrVUlP0fW4yYm98dqD6OTVZss+/PDDhzMOQRAE4QBGg0yqQyYpXqGiOkhxRYCyyqb6By1/sWuKmcRBv2ZaxmaKftT4uXA7/dWfqPryaWoS8kk/5nR0ltQOx2M2yZgMEpW1Kvn7fKgqpDp6VudA6BpdNh60fft2Vq9e3VV/ThAEQSC0c2OqQ8dROQayUvUEAqFljsFg68XmfJahpI26kmPHTWSXehJS0Eu8620+XPwuu37aAFrHKx02be0MEnuKQ3suBMWeC71Ol3UM3nzzTW688cau+nOCIAjCAYwGmZy+BgZlG0m0yZRVhqoWtkbT2fCnX8Cok35D7uDh9LHXcXrK63g3v8yqZR8i+92diiXRFuoc7NrnY9ueRkrdbccixB4xDtQLWa3WaIfQ5UROsUHk1P3irQpGg4RB76ekIojNKmMxtfIbT5JotI7An5uD1baUviWLMOm+prx+Fxu/PY3hI4eClg0dXGWQaFPw+TVqvCquGh92s0yKQ0dSvIJBf/hXLvS0duoq0cjriO8Y9MY6BoeaaRyLRE6xQeR0eJgMoeJIRr2ffeUBfD6NBFvrSwlVXQI1qZfjswwl0foGFH7HOGUJe37axv6SWoaNmYwS5+xQHAZ96NZCMKhRU6eyq8hHVY1MeoqeeGvHlkp2VE9sp64QjbyO+I6BIAhCLNIpEllpekxGmb2lfsoqgyQlKK3XPZAkGmyj8Zn6YTW/h7bnEwbIm6mpKWTxWx5Gjh5J3rCjOzx6oCgSiTaFQFCjoiqIt8FHqkMhOUFHXGujGUKPdsS3mKr2ji1HD7Rr1y527doV7TC6lMgpNoicDi9JCk1MHJBpCM07cAfw1KmobUwIVPVOavpcTVXKxcSn9SMnoYLz+vyDqh/n89GyVQQbOleoTqeEyirLssTu/X627mmkxBU4LLvy9uR26oxo5CVGDHqhQCAQ7RC6nMgpNoicoqNp3kGcKVTzoKxKxaQPbaPcgiTj0o2g1p7JUSnrSS9bjFm/mr3e7by/6FwmTToOZ2bHRw8kScJmlrDESdR4QksbfX4d6Sn6Nqs4doVYaKeOiEZebXYM2qp8KAiCIPQ8JoNM/3QD9UkqVbUqRaU+XNVBHPbW5x74FCfVfWfhswwlwfw6upLvsetf5rt1W/g55STGTBiHbIzvcDyyJIVLKxeUhFYtZKTqMRmO+IHqHq/NjsHo0aMPZxyCIAhCF4gzysQZZfQ6KCj2U+oOABIGvUTiLycoSgr1CZPwxQ3EZllEn+JlmJTPKandzuK3K5kw4Rj69hvS4dEDCO0iqSiwrzxAfaNGerKeeJvcraMHQue02TF4/fXXD2ccgiAIQhdKStBhNMh461WCQY3SykBogmJ8y9sLQWNfqtJvwGwZSnLpG5hLfiTR8DfW/+dE9hVNZPT4E0Bv73AsJoNMikPCVR2ktq6RBKtMUoKOeKuMUYwg9DhijkEvZLd3/A3cU4mcYoPIqWexmWVs/90y2W5VKCj2UVYZwGC0tKw1IOmoS5yCLy4Pq+Ud0kuXMUn5iL2VW3j3HTdJ/UYz4ugc4m0d+9pQZImURF14D4iKGh9WU2i5Y99k/UE3iYpELLfTwUQjrzZ3VzwSHGqHKUEQhN6kwadSVOqnxBXEbPpfp6EF1YelchWWsjdx799Jox8+Kzud1e4LuWhaCsMHdXzuQZOgquGtV6lr0Eh1KOT00YvRg8Okw7srCoIgCL2LySDTr6+BOEOoMFJFlYrDrrTcsVE24HX+Gp9lMDbL2/StWEKW9QWOc3zFiytvp6Aol2kn5qBTOv4rX5El7BYFk0EL7bkQ1MhKM2Btq7MiHDZHfAv0xjoGO3bsYMeOHdEOo0uJnGKDyKnnUxSJ+poCFP8+zKb/1j6oV1FbGTz2m/pRlXEbrqy5BB3jGZH0E3cfdRv6fe/wxMvbKNxX2+l4DHqJ5EQdFdUqPxc2Ul7ZsboHva2dmkQjLzFi0Av1xs6OyCk2iJxig6qq2MyQmWWg2BWgsiZIqSuI1ay0uL2gySa8Sb/BZx6Mrfwd0lxLuUz/IsdUfsP8d39HVm4up5+Y3qkSyE2FkSprVXYU+aj2KKQ69W3f6mgjp94oGnkd8SMGgiAIRyqzKVT7YEiukdy+eoLB0JbOgVa2dPabB1GZcQeuzLvQJY1kTOoG7h9yE/Guf/LAC0WsWFfVqR0WJUnCYVewxMnsrwiybU8jhSU+sWtjFLQ5YjBnzpx2/zFJknjooYc6FZAgCIJweJlNMllpBuwWhX3lfiqqgljj5Bb3+zXFjCf5PHzmo7CWvUWy+1/MMj3NxJpPefqbu/niu2wuO8PJUTnGDscSZ5QxGSQ89Rp7igPUeFUyUw//pkxHsjY7BkuWLGlxTJKk8L0fp9OJqqpUVoZqa8fFxREf3/mZqoIgCEJ0JNhCv9iLK/yUuEKTE53xSovKiT7LUCozZ+O3DMFW/k9G6L7l2eMu5Z2i3/Ls25cybbyNX4+PbzmpMUJNZZXjjKHaB76Aj359Da2XeBa6XJsdg23btjX7/z///DOXXHIJl19+OZdddlm4E+DxeFi4cCHPPfccjzzySPdG2w16Y9nn3thBEznFBpFTbDhYTnqdRFaaAUucwu79obLKSQktvyo0nY3a5IvwmYdgLXsTq3sFV+Y8zXGJa3ni23vZvDOdi6alkJWm73CcOkUiJVGhoipI/j4fmWl6nK2tojhETrEsGnlFXMfg/PPPp3///jz88MOtnr/33nv5/vvvWbp0absCWLZsGf/4xz8oKioiPT2dWbNmcfbZZ7f5eFVVef7551m8eDHl5eVkZ2dz7bXXcvrpp7frdUHUMRAEQTgYV3WQ3ft9eOtVJECnk3DEK8i/+EElB6qwut7HWrYIk/c7qhptzN9zHStKzuPk0RbO+lV8pwoYaZqGu0ZF0zSc8QopDh12iyir3FGH+u6LePLh9u3bOfroo9s8n5eXx+7du9sV3IoVK7jjjjsYP348f/vb3zj++OOZPXs2H330UZvPeeihh/j73//OpZdeyvPPP88xxxzD7bffzueff96u1xYEQRAOzhmvMCDDQF6Wkf6ZBuJMMuWVwRZLG1VdAjUpM3Hn3Ett8gXYLQo3DXyER4dfy3ebdvPYa8XsL/d3OA5JClVItJllyiqDbN3dyJb8xnD9A6FrRbxcsU+fPnz++edcfPHFLc4Fg0FWrFhBTk5Ou178ySefZNq0adx1110ATJw4kerqap5++mlOO+20Fo8vLCxk4cKFPPDAA8yYMQOAE044gT179vDFF18wadKkdr0+9M4lLtu3bwdg0KBBUY6k64icYoPIKTa0J6cEm0KCLfS/rXEyu/f7KXMHsVtkzKYDfltKEg220fhM/WiMOwqb612OkTfyj1EX8lL+zTz82m84Z7KNyaNsLUYcImU0yKQ6ZHx+DU+dSpXHR1WtQp8kHcV7dyJJvaudIDrXX8Qdg8suu4w//elP/O53v2PGjBlkZWXR2NjInj17mD9/Phs3buTxxx+P+IWLioooLCzktttua3Z86tSprFixgqKiIjIzM5udW7VqFSaTqcWthjfeeCPi1xUEQRA6Jt6qMCBDotjlp7ImSI03iM2iYDmgg6DqndT0uRqfdSi2srewVX3CzXkPMt75GU/9ey7fbU3htAkOhuQaOjzHy6AP3dLwBzTKq4JUe4NUuyTiLRo+v9ZyHwihXSLuGFxyySW43W5efPFFPvnkk/BxTdMwm83cc8897brPn5+fD0Bubm6z49nZ2QDs3r27Rcdg+/bt5Obm8uWXX/LEE0+wc+dOMjIyuOWWW/j1r38d8WsLgiAIHWM1ywyIM+Cp1yivDFBRFaDEG1q9EJ5HIMk02MfhNw3AFzcEm+tdxsrreNZ6Ca8V3MRf/3kW6ck6ThljZfRRJpQOllbW6yRSHTrqG1T21EpU1kroLQ0k2kOjCCax90KHtKvy4U033cSll17KV199xf79+5EkiczMTMaNG4fFYmnXC9fWhkppWq3WZseb/o7H42nxHLfbTXFxMXfddRc333wzGRkZLFq0iFtvvRWHw8HYsWObPb5pgsXBYjCbzeGhmiaJiYmkpKSgqmqrpSidTidJSUkEAgF27drV4nxycjIOhwOfz9fqvIvU1FQSEhJoaGigoKCgxfk+ffpgt9upq6ujqKioxfn09HSsVisej4d9+/a1OB8MBlEUhZqaGoqLi1ucz87OxmQyUVVVRWlpaYvzubm5GAwG3G435eXlLc73798fnU5HRUUFLperxfmBAwciyzJlZWXh5awHahoSKykpobq6utk5WZYZOHAgAMXFxdTU1ABQV1cHwK5du+jfvz8A+/bta3GdGAyGcGezqKgo/LwmJpMp3PksKCigoaGh2Xmz2RzukO7evRufz9fsvNVqJT09PRxLIBBodt5ut9OnTx8gVMr0l7eq4uPjSUtLa5bTgdefuPbEtQexc+1pGih+qKuWqK2NJycjAbRA82tDO5VEg4Ns3Sc4lC+4fdC9nJ3xNk/v/BOvLRvAks8qOWe8n2F5TqxWKw0NDZSUlLR4/ZSUFMxmM3V1dZSVlbU4H29R0ZCp9XjZvrOSRKtG3yQN438XRcTitQehtjpwZKUrrj1VVZHltjtN7S6JnJiYyNSpU3G73djtdgwGQ3v/BEC4HsIvh5KajrcWtN/vx+1289xzz3HiiScCoTkG+fn5PPvssy06BoIgCEL3kSSwxoFBr1EflHFVBzDoVFQVwh/hkkKlaQxG+0ioG465/F36qVt56ugZbKw/g79svos3Vpu4UPIzYWTn4lHk0FbTCRaNSo+EBqQmalhMnc30yNKubZcLCgp4/PHHWbt2LY2Njbz88stAaBLh7NmzD/kL/UBr1qxh1qxZfPDBB80mVWzevJnp06fzyiuvMH78+GbPueGGG/jss8/YtGlTsw7Jo48+yuLFi/nmm28ifn0IjShomsaGDRva9byerqk3nZKSEuVIuo7IKTaInGJDd+Tk82vsK/fjrg7ibdAwm0K7JzajBTBXrcFa/g7m6jUowVo8ciYPbHmK70r6M3aYiRkn27HEtf8WgNvtBsDhcAAQDGpUVAUxGiVSEhRSnTrijLF3a6E72qrLtl3es2cP559/PpIkMXHixPA8A0VRyM/P56qrrmLBggWMGDEior/XNOxRWFjYrGPQNLz5y7kHEBoKUlWVQCDQrGPg9/s7PImlNxY46k0fYE1ETrFB5BQbuiMng14it6+BNKeKqzrI/ooA5ZUBHPHK/+oNSDrqEqfgi8vDVz4Ym2sploZdPDz4Qj5MnsXfN1/N5vxGrjwzgSG57Sur3NQhaKIoEikOBW+DRkGJn2qvSkaKHoddjqnP/WhcfxF3n5588klMJhPLly/nvvvuCw/5H3/88SxfvpykpCSeffbZiF84OzubjIyMFjULVq5cSU5ODn379m3xnIkTJ6JpGitWrAgfCwQCfPHFFxx33HERv3Zvp6pqr1uGKXKKDSKn2NCdOcUZZTJS9AzMNGCzhLZ1/uVGSAFTFlXpN+HOvAtv4lQk2chZzmd5fcKF9DEV8dd/VrJyvbdd2y+3lpMkSVjjZFIdOrz1KjuLGikq9cdU7YNoXH8Rjxh89dVXXHnllTidzhYTK1JTU7n44ot56aWX2vXiN9xwA3PmzCE+Pp7Jkyfz6aefsmLFCubNmweEhoYKCwsZMGAAVquVE044gUmTJvHnP/+Zuro6cnJyePPNN9m3bx9PPPFEu167SW97wwPhiUO9aT2vyCk2iJxiw+HIKdGmYDJI7C3zU+wKYjZK2MwH/FqXDXid0/BZBuEr+ydW9wckN+zg6eHn8VrR73nns+n8XNDIJafFk2g/9B4JhYWFAK3W05FliaQEHZ56lT0loY5KZqoeYwysWojG9Rfxv4rP58Nut7d5Xq/X09jY2K4Xnz59Ovfffz9r167lhhtu4Ouvv+bRRx8NLz1cs2YNF1xwAZs3bw4/55lnnuHCCy/khRde4IYbbqCyspJXXnmFYcOGteu1BUEQhO4VZ5Tp19dAvz6h36Cl7iD1jc1/jPlN/ajKuAV3xh/wxp+ELMtcnfkAT466gaKicu5/qZz1m+u7JB5rnEyiVWZfeYDthT7KqwKoauyMHhwuEY8YDB48mE8//ZRLLrmkxblAINBiEmGkLrzwQi688MJWz02fPp3p06c3O2YymZg9ezazZ89u92sJgiAIh5eiSGSkGkiwqZS4/KGCRB6VBKuM6b+TATXZhDfpLHzmQdjKF2Fx/4thfMmCsWfw99338Oq/TmHXXh8zTrZ3as8FCFVPTHFIVNYE2VHoozJBITlRR7xF7vBukL1NxCMGs2bN4ssvv+SOO+7gq6++AkLrKVevXs3MmTPZsmULV155ZbcFKgiCIMQuq1mmX7qBwTlGUh0K3gaVEleAhgNGEPzmQVRm3EZlxp3Ux0/GpAtwe//fc//wP7D+ezePzS+jqLTjey40Uf57a8FqlilxhfZe+LnIR7Un2Om/3RtEPGJw4okn8uCDD/LQQw/x4YcfAnD33XejaRpGo5HZs2czderUbgtUEARBiG2yLJFoU4i3yFR7VcrcAVzVQeoaNRJsMrIkoSlmPMnn4TMfhbX8Hazu5Zzg+JhXx2zisW1/4pH5oxh3tJlBOQbysgwtl0S2g8kgk+aUafCplFcGqfGqpCYq9EnSH9FlldtV4Gj69OmceuqprFu3jqKiIlRVJT09nXHjxpGYmNhdMXarWFq2Eimn0xntELqcyCk2iJxiQ7RzOrCDkGgLsrc8tDFTok0OTwj0WYZSafo9fvNgrBVLcHq+4eGjr2WN6zf8bcsdfPG9Gb0Opp9oY9KxZhISEjocj8kgY3LIeOpU9hT7qWvQyErTYzZJaBpRvcUQjbZqV4Gj3uZQRR4EQRCE7uepV9lX5sdVHUQDHPYDah9oGkbv91jL38FS+TE6XzFBycw2+UJe2XkNPxaYGJRl4LJf20lKaHcx3xb8AQ1XdRBrnIQiS0gS9EnSkZzY+b/dUxzqu69dHYOlS5eybt06ysvLW13mJ0kS8+fP72Coh19v7Rg01VDX6XrPhSxyig0ip9jQE3NSVQ13TagwUlWtSkqi0uyXuhyoxuJ6H2v5Ekze75C0RnymgXxQ+0cWfHMMmiZxzmQLvxpp6fQvfFULbeusaaGOgl4n0T/dgCO+47ctOqo72qrLKh/OmzeP559/Hr1ej9PpPOgGDLGkN9YxaNrgpDetuxY5xQaRU2zoiTk11RowGWV27fVRVhkkxaEg//d2r6qLpzblMnzmIdjK3sFS9QmGhh2ca7ye0VPO4+Fvfsvbn2h8tqGeqWMtjB0W1+EOgiw1L+dcURVgT7EPMJB4mCsnRqOtIu4YLFmyhAkTJvDXv/6VuLi47oxJEARBOEJZ42Ry++rJ3+en1BXAZlawxEmhL2NJotE2Cr8pF595EFbX+5i8P5Bd9zqPDfuCD2tuY1XRr1iwvIZvtzZw9VkJHdp34Zec8QoV1UF2FDWS4tD1+i2dI87M4/EwdepU0SkQBEEQupXdojAoy0B2mp6gqlFeFWxWHlnVO6lJuwp31hxqnOcQ1CVhDe7iXOudPPmrh5h5Yi3bC3w8PN/Fz4W+g7xSZCRJIjlBh8EgU1jiZ9seH6XuAMFeWhwp4o7BxIkTw/ULBEEQBKE7xZlkcvoaGJBpwGyUcNf84ravJNNgH0dl1l1U9b2eGt1RKJqP+Ip/cn7cdcyd9i2BgMqTb7qZ96abwpLO1z+wmEL7LjT4NHYU+vi5wIe7OtjrqidGfCvh7rvv5sorr+T2229nypQpOJ3OVu+zjB49uksDFARBEI5ciTaFYJqe/H0+KmuCJNia3+MPGlKo7nMN1TWJpNYvJ1XdgKFuCycotzH41HN4v3wWyzfKPLrAxW8m2ZhyvDk8b6EjZFnCYVfw+TVcNUEqa4Mk2hSSEhTirUqvqH8Qccdg//791NbW8uGHH7J8+fIW5zVNQ5Iktm7d2qUBdrfeWMcgOTk52iF0OZFTbBA5xYZYyykpQUdQhb2lfsoqg9jNMkEVJInQHAJJgT6n4faPwNS4EqvrAwz123C63+AS+yYmn30tz389kfc+q+XHnQ1cOi2eVEfnZvkb9BIpiToafSru2iAV1UESrKFRDpu56+YfRKOtIl6ueN5555Gfn89FF11ETk5Om0snzjnnnC4NsDv11uWKgiAIvVGNN8jeUj+eehWdIhFQodGn4bAr/9tDQQtgrlqDtWIx5up/IweqUBU7tc5z+NB1De+steAPaPx6vJVTx1jQKV3z4zAY1KioDmK3hEo/d2XnoKt12XLFHTt2cOONN3LNNdd0TWRCt/H5QpNtDAZDlCPpOiKn2CByig2xmpPdopCXLePzh2oL1DWo7C8PUF4ZxBKnYjJI6PV66hKn4DMPwlc2EKv7QwwNO4gvW8B0yw8cN/06Xt14Ah/828O3Wxu4bJqd3L6d/3dQFInkBIWyyiA79/pIc+hw2OVOb+0cjbaKOOK0tLReU7vgQL2xjsHu3bvZvXt3tMPoUiKn2CByig2xnJNOkTCbZPQ6iXirwsAsAxmpOn7OLyZ/z77w4wLGTKrSb6Iy4068CVNRdXZM3k0MLJ/NnJHzuOnMeuoaVB5b4OadT2qabebUUbIskeJQ8P13cuLm/Ea25DewZ7+P+oaO/f1otFXE3/S//e1vmT9/Pjt37uzOeARBEAQhYjpFIitNT0q8hrdB5g88GwAAIABJREFUwlUd/N+XvGzA65yGO/suqlOuwBfXHzlYQ3zJa5yi3cxjZ3/NpGONrNlQx/0vV5C/r/NLG2VJItGukOxQUDWo8WrsKfZTUOInEIyN1QsR30rYtm0bsixz1llnkZmZSVJSEorSvDxkrJVEFgRBEGKfTpHo49CIM4LdIlHjVfE2aDj+W6XQb+pHVcbNoR0bK94jrvY/mDwbyGz4A9fnnce4gVfwwscWHl/o5twTbZw4qnMrFyC0tXNT9USfX/7v7Q4/mak9//ZNxB2Dzz77DFmWSUtLw+/3U1xc3J1xCYIgCELEFAWcdo2BOUZcNUEKi/1UVAVxxIc2ZNJkE96ks/BZBmMrW4SlcgX6hgISSl9mrPUHss78P/7+5WgWra7lqx/rOWuSjWH9DF2ycs2glzDHyeyvCNDg0wgENMwmmZREHXGmnneLPuKOweLFi3E4HN0ZiyAIgiB0iiyHqhTqFImCYj+uqiCqBjaLjMUk44/LozLjVnzmwVhdSzDVfo2pdj3ZDbu46/gZrBp4OUu/UvjbokoGZOg5e5KNAZmd/5VvM8tUezTKKoMokkRZZWg3ybQkPamJCkoXrY7oChF3DKZPn87555/P9ddf353xHHa9sY5BampqtEPociKn2CByig1HQk6JNoU4o0RdvUa1N8j+sgASYDbJaIoZT/K5oc5B+SIslR+j9xXhKHmBM+0/MO6837Kq4AQ+/E89jy90M+ooExeeYsfaySWI8db/3X5XNZlar8quvT689QoZyfpWRw+i0VYRdwzcbjdJSUndGUtU9MaOQUJCQrRD6HIip9ggcooNR0pOJoOMyQDxNhkJKCwLEFQJLWvUSfgsQ6k0ZeM3D8Lieh+TZwNx1evoU7eT3yRfwPgrLuajTYks/9LD9gIf50y2MmZoXJf8upel0KqKOL9GcXkAb71GRooOZ7zS7HspGm0VcffnzDPP5J133mHv3r3dGY/QBRoaGmhoaIh2GF1K5BQbRE6x4UjLSZElMlP1ZKToQNOo9gQpcQXwBzQ0xUpt8oVUZs6hNul8/MZ0lEAZicV/J73o98wY+hVzLk/AYZdZsLyGe1+o4Jst9V0Wt0EvkeLQUdegsrPIR2GJn+ABqxei0VYRjxjIskx+fj5Tp04lKysLp9PZoq5BLK5K6I11DAoKCoCetdd6Z4mcYoPIKTYciTkpikRuHz3pSTrqGzVKXAHKKoPEW2TiTDKN1mPwm3JC2zlX/AuT9zvM1f/GUL8DQ/KF/PHCi9lU5GDZOg8vf1DN5vxGLjzV3iXbL8uyRFKCDm+9SkFpAFWDrFQ9iiJFpa0i7hisW7eOxMREABobG9m/f3+3BSUIgiAIXU2SJIwGCaMhtMeC0eBnf0UAX0Aj3qqg6uKpTbkMn3kItvJFmKtWo/OVkLj/WUze7xmTdhVDL5vI8i/rWf6ll58LffzmVzZGDzV1enkjhGKSZSgqC6BpkOLQoWmhPSEOp4g7Bp9++ml3xiEIgiAIh41eJ5GdpsdkkCkq81NeFSDRpqBTJBpto/Cb+uGLy8PqXobR+wPmqk8x1P+MMfkizh5zIYNzHPxzVQ2vLqvmk6+9nDPZxpDczi9vjDOGRiD2lvmpqA5SWS6RaNMIqhqKfHh6CO3eXioYDPLTTz+xb98+DAYDffr0YejQod0RmyAIgiB0G1mW6JOkw6iX2Fse+iI2KBJ2q4xO76Am7Up8lqOwli/GUrUGXeM+Evc/jdG7ieFpV9H/8nFs2Obn/c89/PWflQzOMXDRqfZO79wYZ5QxGSQaGjWqPBLVXglbgY+MVP1h2ZypXdF/9tln3H///ZSWltK0KaMkSaSkpHDvvfdy0kkndUuQgiAIgtBdHPEKNouMuyZIqTuAqzqIIkOiXaHBPg6/aQD+uDws7g8x1m3GUvkJhrqfMaRczNgB5zNyUDL//q6OZV94+PMrFZw50cZJo8yd2rlRkiTiTKHRAn8AKqqD+AIa/dMNnV42ecjXjnTb5W+//ZYrrrgCp9PJJZdcQv/+/dE0jfz8fN58800qKipYsGABxx57bLcG3JVGjRqFpmls2LAh2qF0qZqaGgDsdnuUI+k6IqfYIHKKDSKntvkDGpU1QUrcASprgjjsSmiHRC1IXPVarBXvElf9b3SBCjTJiDd+MjVpV9FgP4Eqj8abH9fww85GkhIUzpxgZdQQU6duAXg8HgDMZgvlVUHiraGKibIE5jgZa1z7OwmH2nY54o7B5ZdfTklJCYsXL8Zms7UI/NxzzyUrK4sXX3yx3UFGy6H+cQRBEIQjU4NPpajUT7ErSJxBwm4J7bugNO7HVvEuZvdyjPXbkdRG/KZcqlMuxZN8HkGdk5/yfXzweS1FZQES7TK/GmHmxOPMmIyd+6WvqhoV1UFUVQNNwmqWyEjRk5yotGtuw6G++yKO8ocffmDGjBktOgUAVquV8847j++//z7iwHqKCPtFMaWuro66urpoh9GlRE6xQeQUG0ROh2YyyPTra6B/Xz2yBKWuAJ56Fb+hD1V9r6Mq43Y8idMI6p3oGwtw7nucpD1ziatdz9H9DMy50sm10xNITdTx/r89/OUNN5W1wXbHcWAdA1mWSEnUkebUk+pU8AVg514fu/b6KK8MUN8FW0dDOzoGhyJJEn6/v6v+3GHTGzsGRUVFFBUVRTuMLiVyig0ip9ggcoqMokikp+gZnGMkI1WPqmqUuYJUeSTqEqdQmfUHqlOvpDHuKNCCWF3/Inn3H7CXvIwuUMmIPBO3XOTgdxckUlEd5LHXXewo8rXre6ekpISSkpIWxyVJwmFXsJhkil1Bthb42F7go9rT/s7HL0XcMTjmmGNYvHhxqz0yj8fDokWLOProozsdkCAIgiD0JJY4mX7pBobmGhmQZQAJ3NVBAsZMqvreQFX6rXgTTiWod6Bv2IVj72Mk7bkHU+03oGkMyTVyxyUOVBWeWOjmwVddfL25vkt+mMaZZFIdOlISFGrrVHbt8+GuCXbqb0e8KuHGG29k5syZnHHGGVx66aXk5OQAhCcflpaWcv/993c4EEEQBEHoyeJMoSqJeh3s2e+n1B3AYtIRSDgNn2UQ/vLFWCo/Ql+fj9W1FEPdFmpSL8OTdA6ZqQnc/39JfLOlgTUb6njlX9X858d6Lj7NTnJC55Y3QtNtBoWKqiA7ixpJtCs47ToS7XK7aytEHM2oUaP461//ygMPPMBjjz0WfiFN00hOTmbevHmMHTu2fZkIgiAIQoxJTtChyBLllQG89SruGhVVzcKScANpcYOxut7HVLseQ8MOHEWPYPRuoib1crCMZOIIM+OHx/Hv7+pY+rmHR+a7uP1iB32T9Z2OS5IkkhIU6ho1SlxBKqqCZKboSE/Rt6tz0K5uysknn8zkyZPZvHlzeDOl9PR0hg4dik7X+R6PIAiCIMQCh13BYVdo9Kl46zVqvEHKKmGv8XRSsgZjK1uEueoT9A17sFW8i6FuKzXJl+FN+g3o7Ew+zsKQfkaeWOjmqbcrueNSBymJnf8elSQJi0nCYpKprVMpLA0A0CdJH/GukBEvV+yNemsdg6Z1r1arNcqRdB2RU2wQOcUGkVP3KHEFyN/nw2SUsRkasLhXYHX/C1Pt18jBWlTZgsdxBrWpl9FoGQ6SxP6KAE8udBFU4ahcI8P7Gzl+2P/2Xmia12c2mzsUk6dOpa5BxWaRccYrJCUoTBh3PNCBOgbPPvtsh4K48cYbO/S8aBB1DARBEISuomkae8v8FBQH0OtDtQ/i6rdiLV+EuWoV+sYiJII0modRk3IZHueZaDob+8v9rFzvZVuBj6palWMGGrnyjPhO1z1o4vNreBtUGhpVnPEKl58/AUnqQMdg8ODBEb3gL+9bbN26tZ0hR48YMYgdIqfYIHKKDSKn7hNUNcorg5S4AtR6VTTAgIe+jctJqF6OybMBWfUQVOzh0QOfeShIEpqm8dmGOhavriXFoTDjZDs5qQEkSerwiEFrsd189UQUWWqzY9DmDY3Vq1cf8kU8Hg/z5s1jzZo16HQ6Zs6c2fGIo6Q33knZt28f0Lv2Whc5xQaRU2wQOXUfRZZIc+pItMlU1qr4/Cp1DfEUVs6gNmkwaaYlmKs/Rd+4l/jytzDVbaE65VK8zjNAsXDSKAt9k3TMX17NX/9ZSZpD5eSRfiaOzu6S2FIdChzia6/NjkF6evpBn7h8+XIeeeQRysrKOPbYY7nvvvvIy8vrULCCIAiC0JsYDTJpztCtgKCqYbPI7CsbznayyTIOwF61ApN3E0bvJpyFezB6f6A29VJ85qMYnGPkT7OSWf9TPe9/Xs3C1UaK3NWcM8lGnKlztxckSTrkCoV2T4EsKiri/vvvZ926dcTHx/PnP/+Z8847r8NBCoIgCEJvpsgS6cl6zCaZkgoHe6ouJj5xMH2NSzHXfIbeV4y97HWMdZupSbkMr2MaOsXM+GPMJJvL+OInHV9squf7HY1cdKqdEXmmbo034o6B3+/nhRde4MUXX6SxsZFzzjmHO++8k8TExO6MTxAEQRB6hUSbgt0s44pX2Fcxmu1yDlnG/sTXfITR+yMmzwb0Dbsxen+gJuVi/OZBGPRw8sgAJ49N5Y0V1Tz3XhVDcg38eryVARmGbokzoo7BV199xf3338/u3bsZOHAg9957b3hGvyAIgiAIkVEUiRSHDqtZZl95CvnlM8mwDCHBvQRz9efo/KXEl76GwfsTtamXIWtHoUpGcvromXO5k0+/rWPlei+Pv+FmSK6B80620zepa+sIHbSOgdvt5qGHHuLDDz/EZDJx/fXXc+WVV/aaYka9dVVCZ9e99kQip9ggcooNIqeewR/Q2Fnko7wqSB+rC7trCZbKjzDUbUFW6wnqk6m0n0FV0gXICUPDz2v0qfz7u3qWf+mh0adx8mgzZ/3Khl4XWQGjC88ehyy3vVyxzW/4t956i3nz5lFbW8tJJ53E3Llz6dOnTzvT7vnaW0M6FsTSGyNSIqfYIHKKDSKnnkGvk8hM01PvUynxOnFbriJeGkSKcSnmmnXo/GU43Quw+LZTE7iUOsepaLIRo0HmlDEWxh4dx/uf1/LJ13VsL/Dx27MTuqZ6YiR1DCL98pQkiS1btnQ6qMOlt44Y1NTUAGC326McSdcROcUGkVNsEDn1LK7qICUuPwC+ADRW7SPbvxRb9Ur03q3IWgNBQyq1zul4Ui/Cb+rX7Pnf72hg/ofVBINw1q+snHicGVlu+3u7wyMGZ599dq/8Nf1LvbGOQXFxMRCbb5C2iJxig8gpNoicehZnvIIzXgGgrkGl0JDBDtc1pOmPwuh7HYdvI3H+ChJKX8JYt5nalEvxJk4BOTT58JiBJuZepefNj2tYtLqWrzfXc+ZEG0P7GTr0Pd5mx+CRRx7pYIqCIAiCIHSE2SQzINOAJU6i2HUiJYqVgaZlZCkbMTTswFzzBfqGnRjqfqQ2+UICplDhI4dd4YbzEvh2awPvranl2UWVZKXqmDHFzsDM9q1e6JpCzJ2wbNkyTj/9dIYPH860adNYunTpQR///vvvM2jQoBb/PfDAA4cpYkEQBEHoPjpFIjPVwKAsAwZbGpuVyymIvx6P/WQC+iT0vlISip/HueduzJUfgxq6DSFJEqOHxPGnWclcNs2Op17liYVuXl9Rjbdejfz1uyuxSKxYsYI77riDmTNnMnHiRFatWsXs2bMxmUycdtpprT5n27ZtZGdn89hjjzU7npSUdDhCFgRBEITDIt6qkJ2qUVOnQ034NT+XDyLD8B4Jnk8x1Odjqf4MY/0OapJ+wpNyPgFjJhDqWIw/xsyoo0wsW+th9Td1/LCjkfNOsnH80EMXR4pqx+DJJ59k2rRp3HXXXQBMnDiR6upqnn766TY7Btu3b2fo0KGMGDHicIYqCIIgCIedLEOCFXKzjOyPG8je8hupkQeRavgQi+drdL79JBb/HWPdT9SmXEJdwmSQQl/tRoPMuSfZGTM0joUf1/Dqsmo+/66OoKoddHJi1DoGRUVFFBYWcttttzU7PnXqVFasWEFRURGZmZktnrdt27Yu3axJlqN+N6XLZWd3frONnkbkFBtETrFB5BQ7mvIy6CWy++ixW+wUu84iv3wQqdK7OOrXYGjcg6VqFYb6HRi851KbfAFBY9/w38hI1XPnpQ7W/VDPsrUeGv3aQWseRK1jkJ+fD0Bubm6z403/CLt3727RMSgrK8PlcrFlyxZOO+00ioqKyMjI4LrrruPss88+PIHHAJOpe+toR4PIKTaInGKDyCl2HJiXJEk44hXsVhlXwlDKyzPxlOSR5F2OvXEj+sYiEvf/HaN3MzWpl1Af/yuQQqsdZFli4ggzY4bGcdHHXbyJUlepra0FWu6dbbFYgP/trX2gbdu2AbB3717uvPNOjEYjS5cuZfbs2QSDQc4999xmjz9U2eba2lrMZjPbt29vdjwxMZGUlBRUVWXHjh0tnud0OklKSiIQCLBr164W55OTk3E4HPh8Pnbv3t3ifGpqKgkJCTQ0NFBQUNDifJ8+fbDb7dTV1VFUVNTifHp6OlarFY/HE95q9EAJCQkYjUZkWQ4v4TlQdnY2JpOJqqoqSktLW5zPzc3FYDDgdrspLy9vcb5///7odDoqKipwuVwtzg8cOBBZlikrK6OysrLF+aZtUUtKSqiurm52TpZlBg4cCISWHzWtTQ4EAkDoTdK/f38gtM3qL68Tg8EQ7mwWFRWFq6E1MZlM4c5nQUEBDQ0Nzc6bzeZwh3T37t34fL5m561Wa3jn0V27doXjamK328OFwHbs2IGqNp/wEx8fT1paGgCbN28GaFZJVFx74toDce2Ja68mfC4QCKAoSri20IHXnhSEKvPxlPuTyVJySG78HKV+NybXctSqH/HEnU6pZRqSOSN8bbgqSlAkDeiBIwZN9QN+ucay6XhrQ/zDhg3jueeeY/To0eEOxYQJE3C5XDz99NMtOgZHKpfLhaIovapSZdOHZG/6VdCUU28pMQ7i2osV4tqLHT6fr81aBDoFHHaNoC2PRv0oiooGYgm8T6L/B+KC+8j2voYtsJ0K6TzQzgqPHhzKQfdK6E5r1qxh1qxZfPDBB+GeFIR6stOnT+eVV15h/PjxEf2t1157jYcffpj//Oc/OByOiGMYNWoUqqqycePGdsffkzWNgBz47xrrRE6xQeQUG0ROsSPSvAJBjXJ3gKq9GzCXLMbpW4vRvw9J8+MzDaA2aQae5HMJGlIOWfkwajPvmobcCgsLmx1vGmL65dwDgO+++45Fixa1ON7Y2IhOp8Nms3VDpIIgCILQs+kUiT7JenKGHI86ZDbFCVdSbRpDULFhaNhF4v6ncRTcj6l63SH/VtQ6BtnZ2WRkZPDRRx81O75y5UpycnLo27dvi+ds2rSJuXPnhucaAKiqyscff8yxxx6LXq/v9rgFQRAEoaeKM8pkZyYRP+wqXOm3UBp3BvW6TCTNh9X9L5IK7kXSGoG2bxZE9QbTDTfcwJw5c4iPj2fy5Ml8+umnrFixgnnz5gGhbZ8LCwsZMGAAVquV6dOn8/rrr3PjjTdyyy23YLFYePPNN/n5559ZuHBhNFMRBEEQhB5BliVSnHrstnG4Uwfizl+M2fUJtsBPGOp3IKk2oO1KiFGbY9Dk7bff5pVXXqG4uJjMzEz+7//+L7z08L333mPOnDksWLCAMWPGAKEZmU888QTr16/H4/EwbNgwbr311kOuQGhN03Paus8Sq5omFhkM7auP3ZOJnGKDyCk2iJxiR1fkVVcfoHznWuS975FQv44T768FSeHbTVtbfXzUOwbR1Fs7BoIgCIJwoGBQo6KsBHXPIs649h9IEm12DHpf2b926o39IrfbjdvtjnYYXUrkFBtETrFB5BQ7uiovRZFI7dOHtOOvR1KMILX99d97FrF2UG/sGDQV52jP0s2eTuQUG0ROsUHkFDu6Oi9J0YGsA63tjsERP2IgCIIgCEecg4wYiI6BIAiCIAhhomMgCIIgCEKY6BgIgiAIghAmlivS+5YrNu261ps2SBE5xQaRU2wQOcWO7sjrUN99vetfUAB63xsDRE6xQuQUG0ROsSMaeR3xtxJ644BJRUUFFRUV0Q6jS4mcYoPIKTaInGJHNPISHYNe2DFwuVy4XK5oh9GlRE6xQeQUG0ROsSMaeR3xHQNBEARBEP5HdAwEQRAEQQgTHQNBEARBEMJEx0AQBEEQhDBRx4DeV8dAVVUAZLn39PtETrFB5BQbRE6xozvyEnUMjkC97Y0BIqdYIXKKDSKn2BGNvHrnv2Q79MYBk7KyMsrKyqIdRpcSOcUGkVNsEDnFjmjkJToGvbBjUFlZSWVlZbTD6FIip9ggcooNIqfYEY28jviOgSAIgiAI/yM6BoIgCIIghImOgSAIgiAIYUf0qgSPx4OmaeGlG71Fb1y2I3KKDSKn2CByih3dkVdtbS2SJLV5vnf9C7ZTb5x4COD1evF6vdEOo0uJnGKDyCk2iJxiR3fkJUnSQTsaR/SIgc1mA3pfgaPeWLhJ5BQbRE6xQeQUO6KR1xE9YiAIgiAIQnOiYyAIgiAIQpjoGAiCIAiCECY6BoIgCIIghImOgSAIgiAIYaJjIAiCIAhCmOgYCIIgCIIQJmm9tcqPIAiCIAjtJkYMBEEQBEEIEx0DQRAEQRDCRMdAEARBEISwI7pjsGzZMk4//XSGDx/OtGnTWLp0abRDipiqqrz11luceeaZjBw5kilTpvDwww/j8XjCj7niiisYNGhQi/9+/PHHKEbetkAgwPDhw1vEO3LkyPBj1q5dy7nnnssxxxzDSSedxCuvvBLFiA9t/fr1rbZB039LliwB4JRTTmn1vNvtjnIGzW3dupWhQ4dSUlLS7Hgk7fLjjz9y2WWXMXLkSCZMmMCTTz6J3+8/XKG3qa2cVqxYwbnnnsvIkSOZNGkSc+bMweVyNXvMH//4x1bb7aOPPjqcKbTQVk6RXGc9tZ2gZV579+496Pvr2WefDT+3p3weRvLZHUkb7Nmzh2uvvZZRo0YxZswY7r333mZ/ozOO2E2UVqxYwR133MHMmTOZOHEiq1atYvbs2ZhMJk477bRoh3dIL730Ek899RRXX301J5xwArt37+aZZ55h586dvPzyywBs27aNmTNncvrppzd7bv/+/aMR8iHt3r2bxsZGHn30UXJycsLHm3YB27hxI9deey3Tpk3j5ptvZsOGDTz22GNomsbVV18dpagPbujQobzzzjvNjmmaxh//+Efq6uqYNGkSXq+XoqIibr/9do4//vhmj7Xb7Ycz3IPKz89n1qxZBAKBZscjaZeCggKuuOIKRo4cyVNPPcWuXbuYN28eHo+He+65JxrpAG3ntHz5cm699VYuuOACbr31VsrLy3nmmWe44oorePfddzEYDEDoPTZt2jSuuOKKZs8/8Po93NrKKZLrrKe2E7SeV0pKSov3F8CTTz7J5s2bm3329ZTPw0N9dkfSBtXV1Vx++eUkJyfz6KOP4nK5+Mtf/kJJSQnPP/9854PUjlBTpkzRbrnllmbHbr75Zu20006LUkSRU1VVGz16tHbfffc1O/7hhx9qeXl52pYtW7SSkhItLy9P+/zzz6MUZft98MEH2uDBg7W6urpWz19++eXajBkzmh177LHHtFGjRmmNjY2HI8Qu8dprr2mDBw/WNm3apGmapm3YsEHLy8vTdu7cGeXIWuf3+7U33nhDGzlypHb88cdreXl5WnFxcfh8JO1y1113aZMmTWrWTgsXLtSOOuooraSk5PAkcoBD5XTWWWdp11xzTbPnbNq0ScvLy9M++eQTTdM0LRAIaMOHD9fefPPNwxp7Ww6VUyTXWU9rJ007dF6/9Mknn2h5eXnaihUrwsd6yudhJJ/dkbTB3/72N23EiBGa2+0OP2bNmjVaXl5e+HOlM47IWwlFRUUUFhZy6qmnNjs+depU8vPzKSoqilJkkfF6vZx11lmcccYZzY7369cPgMLCQrZt2wbAoEGDDnt8HbV161aysrKIi4trca6xsZFvv/221Tarqalh48aNhyvMTqmoqODpp5/moosu4phjjgFCeRuNxqj+yjyYDRs28Pjjj3PVVVdxxx13NDsXabusW7eOE088MfxLG+C0004jGAyydu3a7k/iFw6Wk6ZpjBs3jvPPP7/Z8QPfXxAa4WpoaOgx77GD5QSRXWc9rZ3g0HkdqKGhgQcffJDJkyc3G/ntKZ+HkXx2R9IG69atY/To0SQmJoYfM2HCBCwWC59//nmn4zwiOwb5+fkA5ObmNjuenZ0NhN7wPZnVamXu3Lkcd9xxzY6vWrUKgAEDBrBt2zYMBgPPPPMMY8aM4eijj+aaa67p0blt374dg8HA1VdfzciRIxk9ejT33HMPHo+HoqIi/H5/zLZZk2eeeQZZlrnlllvCx7Zv305CQgK33XYbo0aNYuTIkeHh656gf//+rFq1ihtvvBFFUZqdi6Rd6uvrKS4ubvEYh8OB1WqNStsdLCdJkpg9ezZTpkxpdvzA9xf878tm6dKlTJgwgWHDhnHxxRfzww8/HIYMWjpYTnDo66wnthMcOq8DLViwgNLSUu66665mx3vK5+GhPrv79+8fURvk5+e3eIyiKGRkZHRJTkdkx6C2thYINdKBLBYLQJdN4Dicvv/+e1544QWmTJlC//792bZtGz6fD5PJxLPPPsuDDz5IYWEhl1xySY/5wvmlbdu2UVhYyKRJk3jhhRe4/vrrWbZsGdddd12vaDO3283SpUu59NJLm80d2LZtGxUVFQwcOJDnnnuOOXPm8M033zBz5kwaGhqiGHFIUlISTqez1XORtEtbj2l6XDTa7mA5taawsJBHH32UoUOHMmHCBOB/HYPa2loef/xxnnzySRobG5k5cyY///xzt8R9MIfK6VDXWU9sJ4i8rXw+HwsWLOD0008Pd0yb9OTPwwM/u5s+Fw7VBrW1td3aTkcIPdnWAAAMk0lEQVTk5EPtv8UeJUlq9XjTZLdYsWHDBq699loyMjL485//DMB1113HBRdcwNixY8OPGzlyJNOmTeONN97g1ltvjVa4bZo3bx7x8fHh4b7Ro0fjdDq58847WbduHdCyzZrEQpv985//RFVVZs6c2ez43Llz0TQtfGth1KhR9O/fn4svvpgPPvigxZB2T9LWe6mJLMsHfYymaT2+7Xbt2sXVV1+NTqfjqaeeCsc7Y8YMRo8ezaRJk8KPHTt2LKeeeirPP/88TzzxRLRCbtWhrrOmPGK1nT7++GPKy8tbnYjcUz8Pf/nZ7fP5gMjaoDvb6YjsGNhsNqDlr0yv19vsfCxYvnw5f/jDH8jJyeGll14K33PKy8tr8djMzMzwaEJP9MuZ0gCTJ09u9v9/2WZN/z8W2uzjjz9m4sSJOByOZseHDx/e4rHHHXccNputx7ZVk7beSwe2S9Mvm9Z+ydTV1fXotlu/fj033XQTZrOZ+fPnk5WVFT6XnZ3d4pep3W7n2GOPZfv27Yc71EM61HXWNFs/FtsJQu+vQYMGMXjw4BbneuLnYWuf3U3fQYdqA6vV2upjvF4v6enpnY6tZ3cBu0nTvZmmSURNCgoKmp3v6V599VVuu+02RowYwcKFC0lJSQFCvcalS5fy7bfftnhOQ0NDswkrPYXL5WLRokUtJn42DaU7nU4URWnRZk3/v6e3WWlpKVu2bGHatGnNjtfV1fHuu++2+HDSNA2/398j2+pAWVlZh2wXi8VCampq+P3VxOVy4fF4emzbLV++nKuvvprU1FTeeeedFsvaVq5c2epEr8bGxh7XbpFcZ7HaTgB+v5+1a9e2eH9Bz/w8bOuzO9I2yM3NbfGYYDDI3r17u6SdjsiOQXZ2NhkZGS2KkKxcuZKcnBz69u0bpcgit2jRIh555BGmTZvGSy+91Kw3L0kSL7/8Mg899BCqqoaPb968mcLCwlZ/mUebJEncc889vPHGG82OL1++HEVRGDduHKNGjWLlypXhoWkI/Uqw2WwMGzbscIfcLt9//z1Ai0lHRqORRx99tFkhFoDVq1fT0NDQI9vqQEajMaJ2GT9+PJ999ll4qLTpMYqi9Mgcv/jiC+68805GjhzJW2+9RWpqaovHvPfee8ydO7fZPJDS0lI2btzY43KK9DqLtXZq8vPPP1NfX9/i/QU97/PwYJ/dEFkbjB8/nvXr11NVVRV+zNq1a6mrq2PcuHGdjlG577777uv0X4lBNpuNf/zjH1RWViJJEq+++ipLlizh3nvvZeDAgdEO76BcLhe//e1vSU1N5fbbb8flclFSUhL+z2AwkJmZyfz589mzZw9Wq5X169czd+5ccnJyuPvuu3vc/cK4uDiqqqpYuHAhqqqiqirvv/8+zzzzDBdffDFnnnkmaWlpPPfcc+zatYu4uDiWLl3Kiy++yE033cSYMWOincJBrVixgh9//JHf//73zY7LsoxOp2PBggVUV1ej0+lYvXo1Dz74IBMnTmTWrFlRirh1W7duZfXq1Vx55ZXhWwSRtEtubi6vvPIK3377LfHx8axZs4a//OUvzJgxgzPPPDOaKbXIyefzccUVVyBJEnPnzsXj8TR7f0mShNVqJTMzk4ULF/Ldd9+RmJjITz/9xJw5c9Dr9Tz22GPNlptFO6dIr7Oe3E7Q+vUHoeV7q1at4ve//32ry52TkpJ6xOdhJJ/dQ4YMOWQbDBgwgLfffptVq1bhdDrZuHEj9913H2PGjOmaz4xOV0KIYW+99ZZ2yimnaMOGDdOmTZumLVmyJNohRWTJkiVaXl5em/8tXbpU07RQoY9zzz1XGzFihDZ27Fjt7rvv1iorK6Mcfdt8Pp/2wgsvaFOnTtWGDRumnXzyydrzzz+vBYPB8GNWrlypnXHGGdrQoUO1k046SXv55ZejGHHk7r33Xm3ixIn/3979hTT1PmAAf6Y2a2UFkpTTCwX/FP5XTIuBU9EL0ywmFuokuzBIcnURdqGCFYUlXZRahjXKlKWZ17ESSbxIbSKkhDfZsmVROZpYyjy/i/DkKWfTX/l1+Xzuzrv3PXvPzjaevXvPexw+fv/+fWHfvn1CRESEoFKphOrqamFqamoFe+icBw8eLLjAjDPnpbe3V8jJyRHCwsIElUol1NTUCNPT0yvVdYd+PqZnz54t+vmqra0V2/b29gr5+flCTEyMEBcXJ+h0OmFsbOy/OhSRo/PkzPtstZ4nQXB8XA0NDUJwcLAwMzPjsO1q+D509rvbmXPw8uVLobCwUIiIiBASExOF8vJy4cuXL3+knzJBmDf+R0RERGva6hpPJiIiov8UgwERERGJGAyIiIhIxGBAREREIgYDIiIiEjEYEBERkWhN3iuBiICysjI8fPjwt/UOHDiAixcvoqCgAGNjY3jy5MkK9O73xsfHkZWVhba2Nvj7+zvVpq6uDsPDw7h69epf7h2R62IwIFqjcnNzkZiYKG739/fDYDAgNzdXsrTs3I2Djh07hqmpqRXvpyPnz59HRkaG06EAAAoLC5GSkoKuri7JXRGJ6AcGA6I1Kjo6GtHR0eK23W6HwWBAVFQU9u/f/0v9vXv3rmT3FtXb24vHjx/DaDQuqd3GjRuh1WrFpYBX29LgRKsBPxVE5HL0ej1iY2OxY8eOJbfNzMzE6OgoOjs7/0LPiFwfgwEROaWgoADJycmS7eLiYhiNRmRlZSE8PBwZGRno6uqCzWZDRUUF4uPjkZiYiIqKCsldCAHAZDLhyJEj4shFUVERBgcHf9sPi8WCzs5OpKamSsqtVivKysqQlJSEsLAwpKamoqamBt++fZPU8/f3R3BwMO7du/d/vBpE/y7+lUBEy/bixQuYTCZotVp4eXnhxo0b0Ol02LlzJzZs2ICTJ0+ir68PBoMBPj4+KCkpAfD9bnjFxcUIDQ1FaWkppqen0d7ejry8PNy+fRtxcXEOn/Pp06ew2+1ISkqSlOt0OgwNDUGr1cLHxwcmkwkNDQ2YmJjA2bNnJXWTk5PR2NiIr1+/Yv369X/8dSFyZQwGRLRsHz58wPXr16FWqwEAHh4eqKqqgt1uR2NjIwDg0KFD6OvrQ3d3N0pKSjA7O4vKykqEh4ejqakJ7u7uAID8/HxkZ2fj3Llz6OjocPic/f39UCgUkkmHHz9+RE9PD06fPo2jR48CAHJyciAIAsxm8y/7CAkJwczMDAYGBpCQkPDHXg+ifwGDAREtm6enJ1QqlbgdEBAAAEhJSRHLZDIZlEolxsfHAQBDQ0Mwm804fPgwrFarZH9qtRp6vR7v3r3D9u3bF3xOs9kMpVIJmUwmlnl5eUGhUKC5uRl+fn5QqVRQKBS4cOHCgvvw8/MDALx582YZR030b2MwIKJl27p1Kzw8fnyNzP369/b2ltRzd3fH3B3eX79+DQCorq5GdXX1gvu1WCwOg8HExAQ2b94sKZPL5aiqqkJ5eTlOnDgBuVyO+Ph4pKWlITs7G56enpL6mzZtAgB8/vzZ2UMlWjMYDIho2eaHgvnm/5r/2ezsLACgtLQUUVFRC9YJDAx02N7NzU3cx3yZmZlQqVQwGo3o6upCT08Puru70dzcjNbWVsjlcrHuXEiZCzJE9AODARGtKKVSCQBQKBTYs2eP5LHBwUFYrdZFJwR6e3vDYrFIyiYnJzE8PIygoCBoNBpoNBpMT0/j0qVLuHPnDrq7uyVXVMyNFPw8skFEvFyRiFZYWFgYtm3bhrt372JyclIst9ls0Ol0OHPmzKK/5H19ffH+/XvY7XaxbGRkBHl5eWhraxPL5HI5du3aBeDXkYG5+Q6+vr5/5JiI/iUcMSCiFbVu3TqUl5dDp9Ph4MGD0Gg08PT0RGtrK96+fYvLly87/IsCABISEtDe3o6RkRGEhoYCACIjIxEXF4crV67AYrEgJCQEFosFTU1NCAwMlCz9DAADAwNQKBSIjIz8q8dK5IoYDIhoxaWnp+PWrVuor69HXV0d3NzcEBQUhPr6evHSR0fmljLu6+sTg4FMJkNtbS2uXbuGzs5OGAwGbNmyBWlpaSgtLZXMLwC+X/K4e/fuX8qJCJAJc7NwiIhcxPHjx/Hp0ye0tLQsue2rV6+Qnp6Ouro6yWWVRPQd5xgQkcspKirC8+fPMTo6uuS2HR0dCAgIkExGJKIfGAyIyOXExsZCrVbj5s2bS2pns9nQ0tKCU6dOLXpJJdFaxmBARC6psrISjx49EhdMcoZer0dMTAzS0tL+Ys+IXBvnGBAREZGIIwZEREQkYjAgIiIiEYMBERERiRgMiIiISMRgQERERCIGAyIiIhL9D+onSZJULHAzAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,6))\n",
"line = lambda x,m : m*x + 1\n",
"slope, intercept, r_value, p_value, std_err = stats.linregress(newintensities[:,0],newintensities[:,1])\n",
"params, _ = optimize.curve_fit(line,newintensities[:,0],newintensities[:,1],p0=[-0.002])\n",
"slope,intercept = params[0],1\n",
"\n",
"sns.lineplot(x=\"Time\",y=\"Norm\",data=intensities,color=\"royalblue\",lw=1.5,label=\"Mean intensity data\") # units=\"Trial\",estimator=None,\n",
"sns.lineplot(time_axis,slope*time_axis+1,color=\"orange\",alpha=0.75,lw=1.5,label=\"y = %.5fx + %d\\n($R^2$>%.2f)\" %(slope,intercept,r_value**2))\n",
"plt.fill_between(time_axis,line(time_axis,slope+std_err),line(time_axis,slope-std_err),color=\"orange\",alpha=0.5)\n",
"\n",
"plt.ylabel(\"Normed LED intensity (unitless)\")\n",
"plt.xlabel(\"Time (s)\")\n",
"plt.grid(linestyle=\"--\")\n",
"plt.legend()\n",
"plt.ylim(0.45,1)\n",
"plt.xlim(0,210)\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Analysis of diode voltage drop ($V_D$)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The diode drop across this LED is 1.8124 ± 0.0002 V\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(figsize=(8,6))\n",
"circuits.copy().rename(columns={\"ResistorV\":\"Resistor\",\"CapacitorV\":\"Capacitor\"}).sort_values(by=\"Time\").rolling(50).mean().plot(x=\"Time\",y=[\"Resistor\",\"Capacitor\"],ax=ax)\n",
"plt.xlabel(\"Time (s)\")\n",
"plt.ylabel(\"Drop across component (V)\")\n",
"plt.xlim(0,210)\n",
"plt.ylim(0.2,3.2)\n",
"diode_drop = np.mean(circuits.CapacitorV - circuits.ResistorV)\n",
"print(\"The diode drop across this LED is {:.4f} ± {:.4f} V\".format(diode_drop,stats.sem(circuits.CapacitorV - circuits.ResistorV)))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fitting the current behavior ($I(t)$)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Slope: -0.0057 ± 0.00002 A/s\n",
"Intercept: -4.4318 ± 0.00241 A\n",
"R-squared: 0.9977878540986967\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"linearized = np.log(_current)\n",
"linearmodel = lambda xs,m,b : [m*x+b for x in xs]\n",
"(slope,intercept), cov = optimize.curve_fit(linearmodel,time_axis,linearized,p0=[-1/50,-4.5])\n",
"uncertainties = np.sqrt(np.diag(cov))\n",
"\n",
"slope, intercept, r_value, p_value, std_err = stats.linregress(time_axis,linearized)\n",
"\n",
"plt.subplots(figsize=(8,6))\n",
"plt.plot(time_axis,linearized,lw=1.5,label=\"Linearized data\")\n",
"plt.plot(time_axis,linearmodel(time_axis,slope,intercept),label=\"y = {:.4f}x + {:.3f}\".format(slope,intercept))\n",
"plt.legend()\n",
"plt.xlabel(\"Time (s)\")\n",
"plt.ylabel(\"ln(Current (A))\")\n",
"plt.xlim(0,210)\n",
"plt.grid(linestyle=\"--\")\n",
"print(\" Slope: {:.4f} ± {:.5f} A/s\\nIntercept: {:.4f} ± {:.5f} A\".format(slope,uncertainties[0],intercept,uncertainties[1]))\n",
"print(\"R-squared:\",r_value**2)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"RC_decay = lambda times,init,tau : [init*np.exp(-1*t/tau) for t in times]\n",
"(I0,tau), _ = optimize.curve_fit(RC_decay,time_axis,_current,p0=[0.012,172])\n",
"uncertainties = np.sqrt(np.diag(cov))\n",
"vary_tau = lambda t,C : I0*np.exp(-1*np.array(t)/(99.05+(diode_drop/_current))/C)\n",
"\n",
"fig,ax = plt.subplots(figsize=(8,6))\n",
"\n",
"plt.plot(time_axis,_current,lw=1,label=\"Data average\")\n",
"plt.plot(time_axis,RC_decay(time_axis,I0,tau),lw=2,label=\"$%.3f e^{-t/%.1f}$\" % (I0,tau))\n",
"plt.fill_between(time_axis,RC_decay(time_axis,I0,95*0.8),RC_decay(time_axis,I0,105*1.8),alpha=0.5,color=\"silver\",label=\"$^\\dagger$\")\n",
"\n",
"plt.xlabel(\"Time (s)\")\n",
"plt.ylabel(\"Current (A)\")\n",
"plt.legend()\n",
"plt.grid(linestyle=\"--\")\n",
"plt.xlim(0,210)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Intensity as a function of current"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.40469905 2.77869274] [0.00332858 0.01708078]\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 576x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"logmodel = lambda x,A,b: A*np.log(x)+b\n",
"params, cov = optimize.curve_fit(logmodel,_current,_intensity,p0=[0.5,2])\n",
"uncertainties = np.sqrt(np.diag(cov))\n",
"\n",
"fig,ax = plt.subplots(figsize=(8,6))\n",
"plt.scatter(_current,_intensity,marker=\".\",c=time_axis,cmap=\"plasma\")\n",
"plt.plot(_current,logmodel(_current,*params),lw=3,color=\"deepskyblue\",label=\"{:.3f}*ln(current)+{:.3f}\".format(*params))\n",
"plt.xlabel(\"Current (A)\")\n",
"plt.ylabel(\"LED intensity (%)\")\n",
"plt.title(\"Aggregate concurrently sampled data\")\n",
"#plt.xscale(\"log\")\n",
"plt.colorbar(label=\"Time (s)\")\n",
"plt.grid(linestyle=\"--\",which=\"both\")\n",
"plt.legend()\n",
"plt.xlim((0.0125,0.002))\n",
"print(params,uncertainties)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 504x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(7,7))\n",
"ax = fig.add_subplot(111,projection=\"3d\")\n",
"ax.scatter(_current,_intensity,time_axis)\n",
"plt.gca().invert_zaxis()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.6"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"position": {
"height": "472.4px",
"left": "1166px",
"right": "20px",
"top": "120px",
"width": "323.4px"
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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