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@CamDavidsonPilon
Last active February 14, 2019 21:28
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{
"cells": [
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'\n",
"from lifelines import KaplanMeierFitter, LogNormalFitter, WeibullFitter\n",
"from lifelines.fitters import ParametericUnivariateFitter\n",
"import pandas as pd\n",
"from autograd import numpy as np\n"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv(\"https://gist.githubusercontent.com/statwonk/09617f573f81bdc0f874725a19d55d8b/raw/4524e9099849cb33f179b5ae206d383ff55569cd/data.csv\")"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"kmf = KaplanMeierFitter().fit(df['durations'], df['censor'])\n",
"lgf = LogNormalFitter().fit(df['durations'], df['censor'])\n"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 317,
"width": 597
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = kmf.plot(figsize=(10, 5))\n",
"ax = lgf.plot_survival_function(ax=ax)"
]
},
{
"cell_type": "code",
"execution_count": 140,
"metadata": {},
"outputs": [],
"source": [
"from autograd.scipy.stats import t\n",
"\n",
"\n",
"class UpperAsymptoteTFitter(ParametericUnivariateFitter):\n",
"\n",
" _fitted_parameter_names = [\"c_\", \"mu_\", \"scale_\", \"k\"]\n",
"\n",
" _bounds = ((0, None), (None, None), (0, None), (0, None))\n",
"\n",
" def _cumulative_hazard(self, params, times):\n",
" df = 1\n",
" c_, mu_, scale_, k= params\n",
" return c_ * t.cdf((times - mu_) / scale_, df, loc=0, scale=1)**k"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<lifelines.UpperAsymptoteTFitter: fitted with 3086 observations, 2048 censored>\n",
"number of subjects = 3086\n",
" number of events = 1038\n",
" log-likelihood = -2.017\n",
" hypothesis = c_ != 1, mu_ != 0, scale_ != 1, k != 1\n",
"\n",
"---\n",
" coef se(coef) lower 0.95 upper 0.95 p -log2(p)\n",
"c_ 0.409 0.013 0.383 0.434 <0.0005 inf\n",
"mu_ -0.345 0.111 -0.563 -0.128 0.002 9.088\n",
"scale_ 0.027 0.036 -0.044 0.097 <0.0005 531.524\n",
"k 765.726 1026.397 -1245.974 2777.426 0.456 1.132\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x121c60160>"
]
},
"execution_count": 143,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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gIWtt7Rcw11Vce5xn3QaL9m/s95T7KQp+ug3atQFvTKOlIiIiIiIiUhNjDM888wyRkZFMnz6dQYMG8dFHH9G1a9caj0lOTmbUqFH1nst9993HN998wzPPPMP8+fM555xzaNeuHbt27eKHH37g008/5YEHHqBXr15AxZK8mJgYBgwYQHp6OtZaPvnkE7766iv69+/PueeeGxh76NCh/Otf/+JXv/oVw4YNIzIykrS0tMBdDxvaL37xCwYOHMgbb7zBGWecwZlnnsnOnTtZsGAB3bt3D2xQf6DTTz+dqKgopk+fTlZWFqmpqQDcfPPNxMfHH/H1EjkW1Etxy1o7FZhay76bAHOI+E9UzMY6kvOvBv7nSI5pEC4PnDqBsmV/x11csdHfUOcK3t32M318R7aWWkREREREpKE9/vjjREVF8ec//5lBgwbx4Ycf0rt370bNwe1289Zbb/Hyyy+TkZHB22+/TX5+PikpKXTq1Ik//elPXHXVVYH+Dz30EAsXLmT58uW8++67REREkJaWxl/+8hd++9vf4na7A32vu+46Nm/ezJw5c3j44YcpLy9n8ODBjVbccjqdzJs3j3vvvZd3332XJ598knbt2nHddddx7733VluASkxM5PXXX2fatGlkZGRQULnNzW9+8xvi4+OP+HqJHAtMA29H1ewZYzL79evXLzMzs3YH+H0UvjeVqC+fDDS9HDOGS0aMIrrzAHBHNlCmIiIiIiJSZc2aNQD07NkzzJmIiBxbavv7279/f5YvX77cWtu/rudsSndLbBkcTqLOvIG1/vaBpt/kZ7Br0xooygljYiIiIiIiIiIiLY+KWw0hri25sccHNbnztoBfd7MQEREREREREalP9bWhvBxkdZcJnLpqceB1/NZFsOd8cEVCTEr4EhMREREREWlAb731FitXrjxsv/T0dMaMGdPwCYlIi6fiVgO58qJz+c+KPpzjrPhRj835ntL1S/AkdQJU3BIRERERkZbprbfe4oUXXjhsv8GDB6u4JSL1QssSG4jHG8Fi/8lBbaW5O8D6w5SRiIiIiIhIw8vIyMBae9jH4sWLw52qiLQQKm41oJVJF/GNv3PgtePnTNi7GfZtC2NWIiIiIiIiIiIth4pbDeiiUzrzX3+nwOuo3B9g7btQkhfGrEREREREREREWg4VtxrQaZ2SWWm7BLX59m4OUzYiIiIiIiIiIi2PilsNqHVcBK/7BrHygKWJpaWlkL8LCvaEMTMRERERERERkZZBxa0GlBLrxeNy8b7vlEBb5JbFsGGJ9t0SEREREREREakHKm41ILfTgQVyiQkObP4EsOFISURERERERESkRVFxq4Gd3rkV832nB7WVl5VC8T7wlYcpKxERERERERGRlkHFrQZ2+wXd2Ec0k0tvCLQ5d66C4hzY9V0YMxMRERERERERaf5U3Gpg7ROiQtqMvxy+fh7KS8OQkYiIiIiIiIhIy6HiVgOL9roA+N52DA5kbwxDNiIiIiIiIiLS0KZOnYoxhsWLF4c7lWOCilsNzONyMKBzEt/bjjxTPjw4WF4MBXvCk5iIiIiIiBwTFi9ejDGGIUOG1Nhn06ZNGGNIT09vtLway4QJEzDGEBUVRU5OTrjTCYvDff5HKj09vV6+K1UFoNo+mtL3MyMjA2MMGRkZ4U7liNT3d6GpcIU7gWNB2/hIAP7j68sk19sVjXs3wq414HBCdHIYsxMREREREWmZ8vLymDNnDsYYioqKePnll7npppvCnZZUqq7IsnLlSubOncvJJ5/MqFGjgmIJCQmNlFnd3XTTTVx++eV07Njx8J2lzlTcagSDu6Xw5oqfQwNfPw/DHmn8hERERERERI4Bs2fPJj8/n9/97nf89a9/ZebMmSpuNSFDhgwJKXBlZGQwd+5c+vTpw9SpU8OSV31ITk4mOVkTWRqLliU2go6tKjaVD9l3K297GLIRERERERE5vAP3DHrhhRfo27cvkZGRtG7dmnHjxrFjx46QY4YMGYIxhpKSEu699146deqE1+ulS5cuTJs2jdLS6m+q9f333zNmzBg6dOiAx+OhTZs2XHnllaxduzak75gxYzDGsGHDBp566ilOOukkIiMjq50FNHPmTBwOB5MnT2bEiBGsWrWKL774otocdu7cyR133EH37t2Jjo4mISGB7t27M2bMGDZs2ADAwoULMcYwduzYascoKSkJFDVKSkqA4OVrH3zwAWeddRYxMTGkpKQwduzYwFLJFStWMHz4cBITE4mJiWHkyJFs2rSpTte46twAS5YsCVrid3Dh6LXXXmPQoEHEx8cTGRnJiSeeyIMPPhh4H7B/ievmzZvZvHlz0HhjxowJGu9IPtOG9sUXXzB69GhSU1PxeDx06NCBiRMnsm3btpC+GzZs4Prrr+f4448nMjKSpKQkTjzxRCZNmkRWVhZQ8RlUfQfGjh0bdB2qPrOa9tyqWha4c+dOxo0bR5s2bYiOjuaMM87gk08+AaCgoIA777yTtLQ0vF4vvXv35l//+ldIrrm5uTzyyCOcc845tG/fHo/HQ0pKCiNHjmTZsmVBfY/ku3Ak16up0MytRtAhMYp+HRNYvgWuKv0Dr3geDO6QvRGSOoUnORERERERkUN4/PHHef/99/n1r3/NhRdeyNKlS5k1axaLFy/miy++ICUlJeSYyy67jK+++orRo0fjdruZO3cuU6dO5euvv2bevHmBP7IB3nvvPX71q19RVlbGiBEjOP7449m6dStvvPEG77zzDosWLaJfv34h57j11lv55JNPuOiiixg2bBhOpzMovmLFCjIzMznvvPPo0KEDY8aM4fXXX2fGjBmcdtppQX0LCwsZOHAg69ev57zzzmPEiBFYa9m8eTNz585l9OjRdO7cmfPPP58uXbrw2muvMX36dOLj44PGef3118nKyuL222/H6/UGxebNm8fbb7/N8OHDmTRpEp999hkZGRls2rSJBx98kKFDh3LWWWcxfvx4vv32W+bPn8+GDRtYtWoVDkfovJTaXOM+ffowZcoUpk2bRlpaWlAB6sBi4D333MODDz5IcnIyV155JTExMSxYsIB77rmHhQsX8v777+PxeEhPT2fKlClMnz4dgMmTJwfG6NOnT50/04bw/PPPc/311+P1ehk5ciQdOnTghx9+4LnnnmP+/Pl8/vnngaWD27dv5xe/+AX79u1j2LBhXHrppRQXF7Nx40ZeeuklbrrpJlq1asWYMWNISEhg7ty5XHzxxUHvvTZLJ3Nychg4cCCxsbFcccUVZGdnM2fOHC644AKWLVvGxIkTyc7OZvjw4ZSVlfHqq6/y61//mg4dOjBgwIDAOGvWrOGPf/wjgwYN4qKLLiIxMZEtW7Ywb948FixYwPz587nwwgsBav1dOJLr1aRYa/U4xAPI7Nevn60Lv99v73ljlU27+2078PezrJ0St/+x9Clrf/yPtWUldTqHiIiIiIjst3r1art69eqaOxz4v8mb+qOOFi1aZAE7ePDgGvts3LjRAjYtLW3/JZoyxQLW7Xbb5cuXB/WfPHmyBey4ceOC2gcPHmwB27VrV5udnR1oLyoqsgMGDLCAffHFFwPt2dnZNiEhwbZq1cp+9913QWN9++23Njo62vbt2zeo/dprr7WAPe644+yGDRtqfE8TJ060gJ09e7a11tqysjKbmppqo6OjbW5ublDfefPmWcBOnjw5ZJySkhK7b9++wOtHHnnEAvapp54K6Vv1/teuXRtomzVrlgWs0+m0ixcvDrT7fD577rnnWsAmJibal19+OWiscePGWcC+9dZb1Z6jttfYWnvIz/+zzz6zgO3QoYPdvn17oL2srMwOHz7cAvaBBx4IOiYtLS3ou3Kgo/lMD1R1va699toa+9TW2rVrrdvttl26dLFbt24Nin344YfW4XDYUaNGBdqefPJJC9jp06eHjJWfn28LCwtD8pw1a1a1567697No0aKgdsACduLEidbn8wXaX3zxxcB3Yfjw4baoqCgQ+/jjjy0QlKu11ubk5Njdu3eHnPunn36ybdu2tT169AiJHeq7cKTXqyaH/f2t1K9fPwtk2nqo3WhZYiMwxlBQ4qs++OUzEPh+i4iIiIiINC1XX301ffv2DWqbOnUq8fHxzJ49O2jZWpX77ruPxMTEwOuIiAgefLBiBcvzzz8faH/xxRfJyclh2rRp9OrVK2iME044gQkTJrBixQpWr14dco677rqLTp2qXwFTUFDA7NmziY+P55JLLgHA5XJx1VVXUVBQwCuvvFLtcZGRkSFtHo+H2NjYwOuxY8cSERHBs88+G9Rv7dq1LFmyhLPPPptu3bqFjHPFFVcwePDgwGuHw8HVV18deK9XXXVVUP9rrrkGqNhgvTq1vcaHU9X33nvvJTU1NdDucrl49NFHcTgcPPfcc7Uery6faX37+9//TllZGU888QTt2rULig0dOpSRI0cyf/588vLygmLVfQ+io6OrbT8aUVFRPPLII0Ez8q688kpcLhd79+7liSeeICIiIhA766yzSE9PD/kuxMfHV7uvV/v27Rk9ejTff/89W7ZsqXVeR3u9mgItS2wkbeMrvpg7bSK7bRwpZl9FIHdrGLMSERERERE5tAMLMlXi4+Pp06cPS5YsYc2aNUHLsmo65swzz8TpdLJixYpAW9W+QN988021m4evW7cOqFh+dXCh5NRTT60x5zlz5pCXl8fEiRODigRjxozh0UcfZebMmfz2t78Nyrddu3Y89NBDLF++nGHDhjFw4ED69OkTstyxVatWXHbZZbz44ot89tlnnHHGGQDMmDEDgEmTJlWb0ymnnBLSdtxxxwHQv3//kFhVcWHr1ur/ZqztNT6c5cuXA3DOOeeExLp160b79u3ZuHEjubm5Icswq1OXz7S+VeWyZMkSvvrqq5D4rl278Pl8rFu3jv79+zNy5EjuuecebrzxRhYuXMgFF1zAwIED6dWrV9BS2rrq1q1bUMEUwOl00qZNGwoKCujcuXPIMe3atat2v7hPP/2UJ554gmXLlrFr166Qfe1+/vnnWi8jPNLr1ZSouNVIzuyazN+XrKcMF5eX3sdH3juDO2T9CK17QT3+gxERERERkRpMzQ13Bo2manaI3++vsU9VrLq9ndq0aVPtMVWzfHJzQ69ldce4XC6Sk5PZtWtXoK1qg+6ZM2fWmBtAfn5+jeevTlWh6eBNzk844QT69+9PZmYmX3/9daDgFBcXx+eff86UKVOYN28eCxcuBCrueHfDDTdw77334na7A+PccMMNvPjiizz77LOcccYZlJSU8MILL9C6devATLGDVVcYcrlch42VlZVVO15tr/HhVH1+bdu2rTbetm1btmzZQk5OTq2KW3X5TOtbVS6PPPJIrXJJS0vjyy+/ZOrUqbz33nu88cYbAHTo0IE77riDW265pV7yquk6ulyuQ8bKy8uD2t58801Gjx5NREQE5513Hl26dCE6OhqHw8HixYtZsmRJtTMra3Kk16spUXGrkbSO3b+Z4AZ74I+Ghb2bwPohvgNExDV6biIiIiIi0nJV/bFc9Ydrdfbs2QNUvxn2zp07qz2m6m6J1f0xvnPnzpDZIuXl5ezZs4e4uP1/81Qd+80333DSSScd6m2EqGkmzapVq/jyyy8BOP3002s8fsaMGUGzqdq3b88//vEPrLWsXr2a//znP/ztb3/j//7v//D7/fzpT38K9D3ttNPo27dvYGP5BQsWkJWVxd133x1UBGtItb3Gh1P1GezYsYMuXbqExLdv3x7Ur7bjHc1nWt+qcsnNza31NenZsyf//Oc/KS8v55tvvuHDDz/kqaee4tZbbyU6Oprx48c3ZMpH5L777sPj8fD111/Ts2fPoNjEiRNZsmTJEY13NNerqdCeW40kKdpDYlQNP3KfPg6+MrTvloiIiIiI1Lfu3bvj9XpZt25djQWuquVIJ598ckisuj+Qc3NzWblyJRERESF/VNd0zNKlS/H5fEH7d1Xd+e2TTz6p3ZuphapZW0OGDGH8+PHVPiIjI3n11VernYFijKF3797cfPPNfPDBBwC89dZbIf1uuOEGiouLefHFF5kxYwbGGK6//vp6ex+HU9trDBUz8ny+6veBruq7ePHikNiPP/7I1q0l35DyAAAgAElEQVRb6dSpU1Dh0+l01jheQ3ymR6suubhcLvr378/dd9/Nq6++CgR/D6qWq9Z0HRrDjz/+SK9evUL+Dfr9fpYuXVrtMYf6LjSlz+5IqbjVSBKjPPRoW1H5tBi22aT9wZwtUJwTpsxERERERKQli4iI4PLLL6e8vJw777yz6q7wAVu3bg0sQzp4GR/ASy+9FLKH09SpU8nNzeWKK67A6/WGHPOnP/2JvXv3Bl4XFxfzhz/8AajYkL3K2LFjSUhIYNq0aYHZVgfy+/3VFl1qUlRUxCuvvILT6eSVV17hueeeq/Zx6aWXkp+fHyhafPfdd9XOUKtqi4qKColdeeWVxMfH8/DDD7NkyRLOO++8avdKaii1vcZQsU/YTz/9VO0448aNA+D+++9n9+7dgXafz8cdd9yB3+8Pma3UqlUrdu/eTVFRUch49f2Z1sVNN92E2+3mtttuC+z1daDS0tKgQk5mZma1y2yr+x60atUK4Ig2bK9v6enp/PDDD2zbti3QZq1l6tSpNW7Yf6jvwpFer6ZEyxIbicNh6JgUxbL1WYDh9rLf8qrngf0drB/2boY2vcHhrHEcERERERGRI/Xoo4/y1VdfMWvWLJYtW8Z5551HXFwcmzdvZu7cueTl5XH33XdXu0n5L3/5SwYOHMhll11G27ZtWbp0KUuXLiU9PZ2HHnqo2vP17NmT3r17M3r0aNxuN3PnzmX9+vVcdNFFgTsEQsUf2v/+97+55JJLGDBgAEOHDqV3794YY/jpp59YtmwZWVlZFBcX1+p9/vOf/yQnJ4cRI0YENmuvznXXXcfLL7/MjBkzmDBhAh988AF33nknp59+Ot26daN169Zs3bqVuXPn4nA4uPPOO0PGiIqK4tprr+XJJ58EKpaBNabaXmOouNPdnDlzGDFiBP369cPtdjNo0CAGDRrEGWecwV133cXDDz/MCSecwOjRo4mOjmbBggX897//5cwzzwx5/0OHDuWrr77iwgsvZNCgQXi9Xk4++WRGjBhR759pXfTo0YPnn3+ecePG0bt3by688EK6detGWVkZW7Zs4ZNPPiElJYXvv/8eqCjkPvvss5x55pl06dKFxMRE1q9fz/z58/F6vUyePDkw9umnn05UVBTTp08nKysrsAfczTffXOslnHV12223MWnSJPr27cull16K2+3m008/ZfXq1YwYMYL58+eHHHOo78KRXq8mxVqrxyEeQGa/fv1sfViydpdNu/vtwKPoT+2tnRJX8Vj6hLVr37M2f0+9nEtERERE5Fi2evVqu3r16nCn0aTk5eXZBx54wJ5yyik2NjbWulwu26ZNGzt8+HD7zjvvhPSfMmWKBeyiRYvsrFmz7Mknn2wjIiJscnKyHTNmjN22bVvIMYMHD7aALS4utn/84x9tenq69Xg8tlOnTnbq1Km2uLi42tw2btxob7zxRnv88cdbr9drY2Njbffu3e1vfvMb++abbwb1vfbaay1gN27cGDLOGWecYQE7d+7cw16Pbt26WcCuWLHCrl692t522222f//+Njk52Xo8HpuWlmYvvfRS++mnn9Y4xsqVKy1g27Zta8vKyqrtM2vWLAvYWbNmhcQWLVpkATtlypSQ2MaNGy1gr7322qD2o7nGO3futFdccYVt3bq1dTgc1Z7z1VdftQMHDrQxMTHW6/XaXr162fvvv98WFRWFjJefn28nTZpk27VrZ51OZ7V5HslnWt31Oni8uli1apW99tprbceOHa3H47GJiYm2d+/e9vrrr7cfffRRoN/nn39uJ02aZE866SSbmJhoIyIibJcuXeyYMWPst99+GzLuggUL7IABA2x0dLSlYp+hwPfywH8/BwLs4MGDq80zLS3NpqWlVRur+twPVvVvMyoqyrZq1cqOGjXKrlq1qsbz1+a7UNvrVZPa/v7269fPApm2Hmo3xlrt83QoxpjMfv369cvMzKzzWGt35HHB9I8Dr7+LuYHo8srliKknwaC7oOMAiEmp87lERERERI5la9asAah2PyipnalTpzJt2jQWLVrEkCFDanXMkCFDWLJkScjSx5YqIyODsWPHcu+99wZtON+QjrVrLM1PbX9/+/fvz/Lly5dba/vX9Zzac6sROR3Bd/MowbP/xY5VsG8bIiIiIiIi0vSVl5fz2GOP4XK5Gn1JoogEU3GrEcV4g7c4e7LowuAOpflQsAv8/kbMSkRERERERGpr6dKlPPDAA/zyl7/k22+/ZdKkSbRv3z7caYkc07ShfCNKifXSr2MCy7dULEXM8F3I7VHvElu2p6JDWRHk/gxRrSA2NYyZioiIiIiISHU+/PBDpk2bRlJSEhMmTODhhx8Od0rHjE2bNpGRkVGrvpMnTyYhIaFhE5ImQ3tuHUZ97rkF8PY327jp1f230Z0f8b+cyI8A2F6jMD1HQodTIaFDvZxPRERERORYpD23RFqexYsXc/bZZ9eq78aNG0lPT2/YhKRa4dhzSzO3GlmrGG/Q61K/CSwONavfgo5nhCErERERERERkaZtyJAh2khfqqU9txqZx+XgqlM7Bl5/7+8Y3CF7PfhKGzkrEREREREREZHmScWtRhblcXJKp8TA64fLfx0ULy0vh71bdOdEEREREREREWlWwjWzTsWtRpYS6yUpyhN4nUsMX7pPCbwuzs+puGNiWVE40hMRERERaRGMMQD4dSdyEZFGU1XcqvoNbiwqbjWyxCgPbqeDvh3337VhZ/H+rc/i1r2OLVVhS0RERESkLrzeir1uCwoKwpyJiMixo+o3t+o3uLGouNXInA6DMYbjU2ICbaW4g/oUbf6ysdMSEREREWlRYmNjAdixYwd5eXn4/X5tRC0i0gCstfj9fvLy8tixYwew/ze4sehuiWFycod4/pW5FYB/+wZxqfOTQKy8MK9iz62IBIhuFa4URURERESaraSkJAoKCigsLGTr1q3hTkdE5JgRFRVFUlJSo55TM7fCJMLtCixNXObvTUb5+YGYr7yworiVvzNc6YmIiIiINGsOh4MOHTqQkpJCREREo+//IiJyLDHGEBERQUpKCh06dMDhaNxyk2ZuhUGM10WM10nfDgms2JIDQDH7N5nH5wNfKaBp0yIiIiIiR8vhcJCcnExycnK4UxERkQakmVth0LVNDPGRHjokRVUbT/x5Eexe28hZiYiIiIiIiIg0PypuhUGE2wlAq2gPnVpVFLi22+C9tfzbV0FhNpQWNnp+IiIiIiIiIiLNhYpbYdIuIZIor4srT+sIwOu+syix+1eJ+srLoCgbsn4IV4oiIiIiIiIiIk2eilthkhTjwet04HZWfAT5RPFA+VWBeInfAQVZ4PeFK0URERERERERkSZPxa0wifG6cDkdRHlcOKq5cUvMtqVQVtz4iYmIiIiIiIiINCMqboWR02GIcDv4zWlp1caL174PvjKwumuiiIiIiIiIiEh1VNwKo7hIF26Xg7TKTeW/9ncPivtyt1VsKL/zv+FIT0RERERERESkyVNxK4zaJ0YRF+EGIC0pitU2nUfLRgf18e3+Hkryw5GeiIiIiIiIiEiTp+JWGMV4XTiMITU+IjB7a43dv0SxzBlJblFZuNITEREREREREWnyVNwKsw5JkXhdTkrL/SGxhKyVlO3ZGIasRERERERERESaBxW3wiw2wo3baeiQVDFzqwxXUDxu6yLwl0POT+FIT0RERERERESkSVNxK8xivC7cTgenpCcC8Lm/Z1DcUVZI7rYfIHsj+H3hSFFEREREREREpMlScSvMnA5DQpSHlNgIojxOSvBwUcmfA/Ey4yY7Owuw4UtSRERERERERKSJUnGrCejZNpZItwO/rShgHVjGcpXlg9HHJCIiIiIiIiJSHVVNmgBjDGA4JS0pJBZRlkPCtiX4/H4oLWj85EREREREREREmrB6K24ZY9obY543xmwzxpQYYzYZY6YbYxKPcJxLjTGLjTG5xpgiY8x3xpg/GGM81fRNN8bYQzzm1Nf7awyDuiUDsNfGBrXH7sokKzsLtq2A8tJwpCYiIiIiIiIi0iS5Dt/l8IwxXYDPgNbAXOB74FTgVuBCY8xAa21WLcb5M/AHIB94HcgGzgL+DAw1xvzSWltWzaHfAG9V0/7fo3g7YZES66Fr64qi1nZa8Wz5RUx0vVMRtH7s3i2QGA/+MiCkziciIiIiIiIickyql+IW8DQVha1brLVPVTUaYx4DbgMeACYdagBjTD8qCls5QH9r7YbKdlM5/iTgZuCxag5faa2dWve3ET5dUmLYnVfKXRd05+GFa3m6/OJAccsaQ4HPGeYMRURERERERESanjovS6yctXU+sAn420HhKUABcLUxJvowQ42qfH6uqrAFYK21wD2VL2+sa75NVUUND9rER4TE3OUFGF9xY6ckIiIiIiIiItLk1ceeW2dXPr9vrfUfGLDW5gGfAlHAgMOMk1r5vOHggLV2L7AX6GyM6VTNsccZYyYaY+6pfD7piN5BE+F1O3A7DHHe0I+l7ZoMyv3+in23fNWtzBQREREREREROfbUx7LE7pXP62qI/0DFzK5uwEeHGGdP5XNI8coYkwBUbUzfHdh4UJfzKh8HHrMYuNZau+UQ5zywf2YNoR61Ob4+RLqdOB0GnzUUE8kOm0iq2QtAROE2Cn7+Dle7HlCSB1Ghd1YUERERERERETnW1MfMrfjK59wa4lXtCYcZp3L3dCYYY9KrGiv33HrggH4H3n2xEPgT0L+yPREYDCwChgAf1WI5ZJPhdhqcDsMlfdvhw8n40juC4tklFmyYkhMRERERERERaYLqa0P5OrPWfmqM+QcwHlhljDnwboknUXEHxh6A/4BjdgH/e9BQHxtjzgeWAqcB1wFP1OL8/atrr5zR1e+I39BRSIjyEOlx0imloh73ne1EgfUSbUoAKPVrU3kRERERERERkQPVx8ytqplZ8TXEq9pzajHWBGAisBa4rPK/91ExC2t9ZZ9dhxvEWlsOPFf5clAtztsktIr24HE6cTkMp6XFhcSjctZR7reQ+xP4fWHIUERERERERESkaamP4tbayuduNcS7Vj7XtCdXgK0ww1r7C2tttLU2xlp7rrX2c+BEKmZtLa9lXrsrn5vNssSqOya6HQ5G9G4FgMUE4m1/eIUtG9fBvh1QmBWWHEVEREREREREmpL6KG4tqnw+3xgTNJ4xJhYYSMXeWJ8f7QmMMUOAjsA71tqa9vY6WNXdGUPuvtjURXqcODxRAHziPzEo5snfRklxvmZuiYiIiIiIiIhQD8Uta+164H0gHbjxoPA0KmZOvWStLahqNMb0MMaE3IXQGBOyFs8Yk0bFEsNS4N6DYv0OLqhVtg8Fbqt8+fKRvJ9wi/I48bgcFJVVbC12c9nNQfECRzQ780rCkZqIiIiIiIiISJNTXxvK3wB8BjxZWVhaQ8Vm7mdTsRzxjwf1X1P5bA5q/0dlMWs5FZvJdwJGAm7gamvtqoP6PwZ0NcZ8BmytbDsJOKfyv++z1n5WlzfW2NJbRZNfUk5WQSmnd0pk2ca9/OBvR1fHzwCU+yxFpX4oLwpzpiIiIiIiIiIi4VcfyxKrZm+dAmRQUdS6HehCxV0KB1hra7tB1NtAGfA/wB3AmcC/gZOttf+spv9LwArgF1RsRn8DFXt8vQYMstbef5RvKWzio9w4jCEuwsW+4rKQeMctb2DKSyF7E+TtbPwERURERERERESakPqauYW19idgbC37Hjxjq6r9BeCFIzjnP4B/1LZ/c9E5JRqf309aUiTfbc+nGHcgFlu4hbzsVdA2VrO3REREREREROSYVy8zt6R+tYmLwOlwcEqnZABmlV8YFPc5PPh8NhypiYiIiIiIiIg0KSpuNWFxkRUztt7wD+Jzf89Au98P+aW6W6KIiIiIiIiIiIpbTZTDgNPsX71ZYvcvTfSXF5FfXAY5P0FhdjjSExERERERERFpElTcaqLiIt1Ee6vfEq3Tjy/iy9oAeduhYHcjZyYiIiIiIiIi0nSouNVEdUmJITbCzbiB6QBst0lBcU/hTvCXhyEzEREREREREZGmQ8WtJsrjqvhoTm4fD8DffBeHMx0RERERERERkSZJxa0m7LiECGIi3CRFe/jJtmF2+dlB8VKfH/J3QUlemDIUEREREREREQkvFbeasDZxEXhdDsacnhYSi97xJVt37IaCPbB3cxiyExEREREREREJPxW3mjCvy4HT4SAu0o3XGRyLzfuRyNwNULIPrD88CYqIiIiIiIiIhJmKW02YMQaAmAgXp7aB5bZbUNxVvAefteFITURERERERESkSVBxq4lzOQ1OYzgxNZLXfWfxpb97IOa3lvzicijOhfLSMGYpIiIiIiIiIhIeKm41cU6HqXjEt8Pi4GPfSYGY31ryi0oqNpTftTqMWYqIiIiIiIiIhIeKW01cq2gP0V4X8ZGukFjbre9RXpAN+34GX1kYshMRERERERERCS8Vt5q4tvGRRLqdOBwV+28V4wmKx+z5JhxpiYiIiIiIiIg0CSpuNXEelwNjDG6nA5cD3vWdFhR3lhXgs4CvBLS5vIiIiIiIiIgcY1TcaiZcTkNylJNtJHNH2cRAu8VSXFoO5SWwfWUYMxQRERERERERaXwqbjUT0R4Xp3ZuDYDfmkC7d99mtudb2L0WSgvClZ6IiIiIiIiISFiouNUMpMZHEOV14XU7Q2JRRduIyf42DFmJiIiIiIiIiISfilvNwHEJEUS6nSTHVGwmv9m2CYpH715BdmFpOFITEREREREREQkrFbeaAa/LicMY2idGAZBpu/GO79RA3O/3k1tUXrGh/PZV2lheRERERERERI4ZKm41E0nRHtonRdI92Q0YXvKdH4j5LfidkZT+vAoKssCnWVwiIiIiIiIicmxQcauZ6J4ai8fp5KozuoXEEvPWUlBSys85xYBmbYmIiIiIiIjIsUPFrWbE5TTER7oA8Nngj679j7OxRh+niIiIiIiIiBxbVA1pRuIi3IE7Jn5juwTFIkqz8fn9FJX5YOd34PeHI0URERERERERkUal4lYzkhzjIcLtpF2sk1LcDC15JCheZjyU7PoRCvZAaX6YshQRERERERERaTwqbjUjkR4nxkCnVpEAlOIKxKJK95AX0Y59BUW6W6KIiIiIiIiIHDNU3GpGIt1OPE4nA7odV208bc0zlBlPI2clIiIiIiIiIhI+Km41I8YYAJKiKgpYe20sJXb/7K2U7Ez81lLq88Hu78FXHpY8RUREREREREQai4pbzZDH5cDrNOQTxe1lvw20G+unFBf5u7dAYRYU54QxSxERERERERGRhqfiVjPjchq8biclvop9tRb4Tw2K57rbkJNfVDFrS3tviYiIiIiIiEgLp+JWM5MQ6cblNIw9tW1IzIGf+G1L8buiKPOrsCUiIiIiIiIiLZ+KW81MhNuJyxjaJccDYDGU2/0fY49NL1FSXMD6Xfn4dq2BsuJwpSoiIiIiIiIi0uBU3GpmojxOXE5HYHN5Pw7e8J0ViDttKQVFpdj8nezYuaNi7y0RERERERERkRZKxa1mJjbCjdtpcDoMl53cCoC7yicG9dnnSqTYZykqLga0PFFEREREREREWi4Vt5oZj8uB0+EgNT6CHskRgfadNiHw3wk2l1JnFD7tuyUiIiIiIiIiLZyKW81Qr7ZxRHqcWG8Ml/dwhcRP+e4BbGnlXlvZG6Ekr5EzFBERERERERFpHCpuNUOxES7cDgfG4eD8fj0AWOvvENTHUbgLZ3E2BXt3Qv6ucKQpIiIiIiIiItLgVNxqhhwOgzEGr8tJqd8PwN1l1wf1KXPHUmgjyN6nWVsiIiIiIiIi0nKpuNWMeV0OCkt8AGynFSv8xwdiDqDQuiku84UpOxERERERERGRhqfiVjPlMOB1O8ktLqd7QujG8aevfYiy0pKKF/u2QcGeRs5QRERERERERKThqbjVTHVKjiYuwoXf4eG6AccBkGujg/rE5G3AUZxD7s5N2ndLRERERERERFokFbeaqYQoD06HAaBdu4rN5P9WfnFQH2scZJskducUNHp+IiIiIiIiIiKNQcWtZsrjcuB0OHA6DOV+S5zb8pXtwdu+0wJ9IlxOivwGi6WgtDyM2YqIiIiIiIiINAwVt5o5j9NBdkEpbaNDY902vUxpaTFFpT42bfkJsjc2foIiIiIiIiIiIg1Ixa1mLibSRVZ+CTf3dQHgwxmIucryOK5wHWVFOUTsWw9Fe8OVpoiIiIiIiIhIg1BxqxnrnhpLUpQHjCEl/UQA5vlOD+oT7ygi29sRgKyC0kbPUURERERERESkIam41YwlRXtwOhx43U52FMId/Z185O/P676zAn2cxuCzkFtUxo7dWeD3hzFjEREREREREZH6peJWCxAX6WJPfgmD2zsYkJRPlo0LxJK2fkBqtJOS0nJMeRF2xzdhzFREREREREREpH6puNXMpcZHEOWu2G/LWssJcUVBcU/RblpnZ1KOE8++TRQXFYYjTRERERERERGRBqHiVjPXNj6CCLeDaK+LH/I9tGudwpf+HkF9vAVbyYs8jnI/7CsqC1OmIiIiIiIiIiL1T8WtZi7C7STa66J1rJecyDT6tovmQ3+/kI3lAcr9lj25BVCcG4ZMRURERERERETqn4pbLUCv4+LwuBwYAxYAw3J/10A8dncm0W4HxSVluIr3YLd/C9aGK10RERERERERkXqj4lYL4HU5K+6a6HJSVOajjTd46aGneA/d9i5hr7s1Jm8HW7PzwOquiSIiIiIiIiLS/Km41YK4nIbScsudJxbwve0YFIvOWUupO46iMj/7isrDlKGIiIiIiIiISP1ScasF8Tgd/EQbOrdO4HN/T970DQyKx0a48FUtR8xaH4YMRURERERERETql4pbLURStIe4SDelzmgc0UmAYYHv1EA8eu9qotwOSq0Tb95msreth7Ki8CUsIiIiIiIiIlIPVNxqIY5vHUOUx4nDYSjz+bkgNT8o7iwvIm3z62RHdCQ/L5cduUXaVF5EREREREREmj0Vt1oIp8MABq/LQUFJOb/tmsNG2zaoT0zWKtolxZDvcwEW69feWyIiIiIiIiLSvKm41cJEup3sKXXjiU/FG5fCjPKLguIuR8VHXl5WyqZVS6GsOBxpioiIiIiIiIjUi3orbhlj2htjnjfGbDPGlBhjNhljphtjEo9wnEuNMYuNMbnGmCJjzHfGmD8YYzyHOOYMY8y7xpjsymNWGWMmG2OcdX9nzUdcpIsoj5NcTyolEa25tUcec31nBOKReZvA+ilxx+Hbs4GSwjz8pYXhS1hEREREREREpI7qpbhljOkCZAJjgS+Bx4ENwK3AMmNMq1qO82fg30B/4E3g70Ah8GfgXWOMu5pjLgY+BgZVHvNXwFOZw5w6vbFmpktKDHGRbjxuJ1kl0DHaF9Kn3XfPkpjSnkIiKPP5WfVzThgyFRERERERERGpH/U1c+tpoDVwi7V2lLX299bac6goMHUHHjjcAMaYfsAfgBzgZGvtGGvt74BTgWeAocDNBx0TB8wEfMAQa+14a+2dQB9gGTDaGHN5Pb3HJi/C7QQM8REu9haUUlruo2dy8IS3mD0r8bocWCArvxST+zP7CrU0UURERERERESapzoXtypnbZ0PbAL+dlB4ClAAXG2MiT7MUKMqn5+z1m6oarTWWuCeypc3HnTMaCAFmGOt/fqAY4qBeytf/rZ276Rl6NU2jpTYCOKjvOwpdTK+Zxl3lU0IxP2Vd0hsHR+Nozib4qytrN2wOVzpioiIiIiIiIjUSX3M3Dq78vl9a63/wIC1Ng/4FIgCBhxmnNTK5w0HB6y1e4H/z96dh2l2FfS+/649vPNQY1f1PKU7AwkhhEAYRARFnDheBBQfwznoxaNyRFE5inA8F73c6EERcEJUhqP3XBA9AqIIyBQIBEJm0p10p9Nzd831zsN+997r/vFWv11vV3W6k1T1VL/P89Sz3zXstddO+q/fs9ba88AOY8z2RU0vXbj+2zLj3UF3S+MLjDHJczz7ilHM+BTSHlF2nJZbwEnm+UJ0c689EdYwUZswM8a6RJtqrQpxRCeKn2BUEREREREREZFL00qEW1cvXPedpX3/wnX3OcaZWbhuP7PBGDMAnDqY/upFTWd9trU2BA4CHrDjHM/GGHPPcn/ANee691KT9ByMn6SU2rhs+7Z7bse6Cdxs9yi0ZifkO4fmL+QURURERERERERWxEqEW8WFa/ks7afqB84xzr8sXN9ojNl2qtIYY+g/s2vx1xdX6tlXlHzKJ+Ge/l+bSCSZtoVeOVPeh4naAPiuoT3xKG5rniDU6i0RERERERERubys1IHyT5u19k7gb+gGUQ8aYz5sjPkj4FvAzwGPLHRdlQTGWnvzcn+LnnvZGMklSSc8XMfQ7sT85u4J/nPwa0v6RX6WLV4JtzFN0Cjz+EztIsxWREREREREROSpW4lw69TqqOJZ2k/Vl85jrDcC/xl4FHjtwu8K8BLgwEKfqVV69hXDdQwAiewAM+S5buMg99rdNO3pLycmmtNEiSKd9CgA1XbIfL1zUeYrIiIiIiIiIvJUrUS49ejC9Wxnau1auJ7tTK4e2/VBa+0t1tqstTZnrf1+a+1dwA10V23dez7PNsZ4dM/vClnmkPornecavHSBE/42AF400uhr3/7t38HE3TBrJJ/ElI70tiqKiIiIiIiIiFwuViLc+vLC9eXGmL7xjDF54IV0v1p411N9gDHmJcAW4F+stYvP1/rSwvUVy9z2YrpfafyGtXbNpTYbB9Jkk16v/PyRJg/bbb2yG7Xwm1NY45C1Tdx2GbdynHJDq7dERERERERE5PLxtMMta+0B4PPANuBNZzS/E8gCf2utrZ+qNMZcY4xZ8hVCY0xhmbqtwF8DAfCOM5r/ge5XFn/KGPOcRfekgP97ofgXT/KVrggjuSS+292eGMWWW3Kz/CV6h60AACAASURBVJfgl5f0C5Pd8/kTYZ1WEDBZbV3QeYqIiIiIiIiIPB3eubucl18CvgG83xjzMmAv8Dzg++huR3z7Gf33LlzNGfV/sxBm3QvM0d1W+ErAB26z1j64uLO1tmKMeSPdkOsrxpiPLdz3SuDqhfqPr8gbXmYSnoPrOGTSGSbmHDYNDjPBMAfi9ex0TgJQmLqHme2v7AZcZpYoaDJbC2DsIk9eREREREREROQ8rcjXEhdWbz0H+AjdUOvXgZ3A+4BbrbWz5znUZ4AO8BrgN4AX0Q2obrTWLhtSWWs/CXwvcAfwE8AvL4zxa8BPWWvtU3ury1/Sd0jnB5hKbSPy0nz6BQf72sce+xh+s3s+f8Y3UJ8hVTl0EWYqIiIiIiIiIvLUrNTKLay1R4E3nGffM1dsnar/KPDRp/DsO4EffrL3Xem2DGWotTqUUgUqtZBRz3JnfH1v5RZAojFBY+AaCuYYQf0ETrjpIs5YREREREREROTJWZGVW3Jp6p675VJIepSbAU7U4r3O6/v6lFpg3QTxwDbiOCbGEsVrdrGbiIiIiIiIiFxmFG5d4TYNpsmmk8TGI0wN8ic3HuWO6IZe++jDfwVx2CubVonazNGLMVURERERERERkSdN4dYVbqyQwk9lqWS3MsMA61NtOot2o240s+zbcz/WSeDFbdzSEWZPHHyCEUVERERERERELh0Kt65wCc/BMYbiui3M1wMAtt74vX197jpSxboJ6umNxJ0m9VZIrK2JIiIiIiIiInIZULi1Bly3oUA+1V2tZaKQYOwmHsw8r9eeJKDchmIuS70dErYbHJ+YvFjTFRERERERERE5bwq31oBCysNxXFzHELhZUpWDbB5I99p/1/8o/+0Lx8mmfLAxUW2C8uEHLuKMRURERERERETOj8KtNcAYA45HK7+V+fRGjI0IE/m+Pq9w7qYe+7jF9VCdwsYRtXZ4lhFFRERERERERC4NCrfWkE5hC7UgBmBu0/f3tSVMyAe/C5nCMJ0ophV0OD5TvhjTFBERERERERE5bwq31oiE55D2XdpBBECUHGBqx0/02v+DcydfORriGANA0KzSOXw3xPFFma+IiIiIiIiIyPlQuLVG7B7LMZT1MY5DmwSp8gGwp4Orbc4kr3O/CMYhO7gev3QQ22nSbLcv4qxFRERERERERJ6Ywq01Ip/yAQPFjRxiPTg+rcK2vj43mINMN8EtrifEJYhijszVLsp8RURERERERETOh8KtNSSf8jCDW2mTBKA2dAPlsVv7+tw3ffp3O4iwR+6GSAfLi4iIiIiIiMilSeHWGlJM+3iO6ZUNMbXhZ/bKr/Hu4Mih/QA46QGy1ceIgwaEzQs+VxERERERERGR86Fwaw0ZzCZIeS6OA5UAUtXDWNP/T+CV7c8AEGTGCZ3uCq/mwiH0IiIiIiIiIiKXGoVba0gu6eG5DoXRLRx3xom8DI3B6/r6JKIGAJmkR7sTU293ePzBOyEMLsaURURERERERESekMKtNebmrYMkhjYTeHnAEnsp9jzzbb32F7oPE0cd0r6LSWRg/hBup4ptlS/epEVEREREREREzkLh1hqT8Lr/y13XUG50MHGHjGf6+ow+/GEAcuu20rI+nTDkkYnqBZ+riIiIiIiIiMi5KNxao4ayKaqhQ6I5RSc50NeWmNsLgGMMsXEpNTrEk3uxQeNiTFVERERERERE5KwUbq1Bu8ZyOIUx6qlxynGa2M/yjs4beu31zum+Y4MF3PoEcWOeEydPXITZioiIiIiIiIicncKtNWg4m8Bk11EY3Ui50U2yzNj1vfbNTOIf+jIAUXac0CRotttMlFtYay/KnEVERERERERElqNwaw0yxnDDpiKZhAfA7Pw8378t0ddn7LGP934X83nq7RC3fJD50vwFnauIiIiIiIiIyBNRuLVGZRMuruuwbrhI3G4wnnX439GLeu2puMGpRVqpVIpEew5bneb4scMXacYiIiIiIiIiIksp3FqjjDE869pridMjRMk8QafNo1e9sdeeNCEnThwDIEwNYxb6hGF8saYsIiIiIiIiIrKEwq21LJmjndtE0neZrrb50e39zTftuR3iCIB0JkvQiUk0JqCprYkiIiIiIiIicmlQuLXGjRdTDKR9Mp054ihmn9nWaxtlHrdTAyCVTOEGZbzGJI8ffOziTFZERERERERE5AwKt9a4DYNZrJ/DSeZolCa477q39bWfqHW3IcbJAi1/kLlylVI9oNYOL8Z0RURERERERET6KNxa63LjxJlh3Owg7U6H6zfkmbaFXvNz7nsb2G7ANT5cJIhiwuo0j+zbf7FmLCIiIiIiIiLSo3BrrXM9Nm+7mqR3+p/CrBnq/S7YCqnqkW7BS5IzLcK5w/iNCaLYXujZioiIiIiIiIj0Ubgl5NMevuOQDitEzQp3rHt9fwfbPVTeuikyo9uJO22CyHKi1LwIsxUREREREREROU3hlmC8JJGfJc6O06lO0x66hgfiHb328Qf/rLc1EccDIGiUmTn88MWYroiIiIiIiIhIj8ItgfQgzeJO8FK0OiHDaWiR6DVnWxNk5/YAEDsJ8l6MP7sPrzWHtdqaKCIiIiIiIiIXj8ItASCTL5DwHeI44oZh+Ej4g33tTqex8MPFG7uaMIqIwoBSvX0RZisiIiIiIiIi0qVwSwAYySbxHAcvapFqnOCnXvo8vhjd1Gt3H/kniEMAjOn+s+m0W0zvuwu0ektERERERERELhKFWwLAwMAgXqZAObsdp1NnJA0t/F77xs5h8jP3AWAdj9jP4M/tp9Oo0gzCizVtEREREREREVnjFG4JAH4iSW34WTgG4oWVWJktN/f1mZye7v3Oje2k2YmptEIePHjigs5VREREREREROQUhVvSx3McOkELJ2yx7rrv4cvRjb229LGv97Ym+q5DMZOgVp4lOXkf9x+ePtuQIiIiIiIiIiKrRuGW9Fhj8H2PEgWStSMARLkNvfbrnUM4R77RK7vFDRTbJ5mrNGi32rQ60QWfs4iIiIiIiIisbQq3pCeVztAauIp5dxi7sEJrx45dfX2OHD3c+x0mBxkq5gnCmNbsYe47PI/V4fIiIiIiIiIicgEp3JKe7cNZciObSXoO9XZ3FVZz/XP5yqKtibub94GNe2XjuKz3KrSmD9JplDk237zg8xYRERERERGRtUvhlvQUM92vI6Z8l3q7Q7J2DIxDNHZDr892M8HwkX/rldvZTRSoY6IOtWabY/NNpqvtCz53EREREREREVmbFG5Jn7FCimQmTzmzHduuYeKQkfEtfX2iqUd7v62bIPKzjBVS2MnvMj1f4rGpKu1Q52+JiIiIiIiIyOpTuCV9tgxnCcdvIplO01g4IN4dewafiW7t9SnOP0Qcn96aGLsp8u0JNqUDaqVZKs0O3z1eueBzFxEREREREZG1R+GW9PFcB4yD6yept0OcsI5xDN/0T4dbOdOidPfHe+VOZozYTZJyDSlaVFohzSDk6FzjYryCiIiIiIiIiKwhCrdkiU2DabJJn7ZXwK+fxEQB/+m5G/r6FEoP95Wt42OigF3+DJ3SSSYqLY7NN/X1RBERERERERFZVQq3ZImNA2nioZ2E2XHqHQdjI4L8Jr498CO9Pjc6jzNdC3vlMDGA35oh2amwY9Cn0uwQRBEny62L8QoiIiIiIiIiskYo3JIlHMcQJgfxMnnqwemD4Yd339rXr3j/B3q/Yz9DJz0KQL51AidsUWuFTFYUbomIiIiIiIjI6lG4JcvKpzw8x8ECqcpBTBT0wqtTNjW+21e2xsHtVPDaJQajGVphTKsTIyIiIiIiIiKyWhRuybJSvkuUKDKf2kTk53GiFlGiwJc3/kKvz6ipELXqvXKYHMQaHydsMJpxqTY7ADp3S0RERERERERWjcItWZbvGtr5zbSTgzTD01sTx3bc2Ndv/XduP10wDlEiD0AxmiNdP04YxbRDrd4SERERERERkdWhcEuWNVZIUUgnGMwmmasHJBqTEIfYRJZJO9DrN9p8HBN3euXIy+C1SyRrR0mEVWJrCSKFWyIiIiIiIiKyOhRuybJSvsumwTTpZIq2P0Dk+nhBFRyP3/L+a1/fu/cf7/22bpJWfgtAN9xqVzk4XUdEREREREREZDUo3JKz2jSYhsFtkB5gummA7gqsn7xlG23r9fq96vDvUWkGp280Dk4UkO7ME0zuoxFERLHO3RIRERERERGRladwS87KGINxfbJDG2l3ItxOHWzM5jwcTezs9cubJu/++myvHHsZwkSBLakWQbtFPQi598j8xXgFEREREREREbnCKdySJ/SsLQOkEi7GT9FstvBbcwCEL3hLX78XdO5i79zpcpgcwAFSpkP72IOEkSXQwfIiIiIiIiIissIUbskTSnouYWYMLzfCVJTG2BCAKFGgmR7v9fsN/xO89xtTnDo73jo+1hh2REegVaLW6nDPYa3eEhEREREREZGVpXBLzmnD6BDuyA5cx9DphL36xsiNff22mCk+tHehYBxahe04DiRdh/L0May1OntLRERERERERFaUwi05p02DaRKui+e6NGtzeK3u+VoTV9+GNaf/Cf2B91d85vGQ+6ZP1RgwDlu8OTLl/XQ6AROV1oV/ARERERERERG5YincknMyxhAlC7i5EebcUdywudDgUBu6oddvszPNi50Hecdd0AwBY2jltuC3S2AttXqdI7ONi/MSIiIiIiIiInJFUrgl52V8ZIRg6Ool9aWNL+krrzMlAH7nrm459tJYx2UsY/Am7sNEwWpPVURERERERETWkBULt4wxm4wxHzLGnDDGtI0xh4wx7zXGDD7JcV5kjPnUwv0tY8wRY8y/GmNecZb+9gn+7lqZt5OxYpKU3/3n4rbLva2JlbHnUVl3S6/f7/t/zRYzyZ55+Orxbl2YHGawdRQ6TUzcJta5WyIiIiIiIiKyQryVGMQYsxP4BrAO+BTwCPBc4FeAVxhjXmitnT2PcX4R+HOgDvwTcAzYBLwK+CFjzDuste9a5tbDwEeWqT/25N9GlpP0XPCzmFSB/W2HnUGZMDUMQJBe19f3R5xv8RfRK/kf98L3boROegS3U4EIvOk9HB8eZPNo8WK8hoiIiIiIiIhcYVYk3KIbSK0D3myt/ZNTlcaY9wBvAd4F/MITDWCM8YHbgRZws7X20UVt/w9wH/B2Y8wfWmvbZ9x+yFr7f63Ei8jZjQwNYHbcQnX/12kGEWahfm7T9zNy+F96/V7sPMhfRD8GGB4vw44iWCdBrnmSsO4yMTWlcEtEREREREREVsTT3pa4sGrr5cAh4M/OaP7vdFdh3WaMyZ5jqCGgCOxbHGwBWGv3AvuANJB7unOWp2bnaA5rHFK+S7VW7W1N7GTGmNrxql6/57t7+AnnawB87ki3rp3dSMp3CDohicYExNEFn7+IiIiIiIiIXHlW4syt71u4ft5aGy9usNZWgTuBDHDrOcaZAqaB3caYXYsbjDG7gV3A/WfZ3jhgjPlZY8xvG2PeZIw517PkKdowXCSfyVLPbMRtTvfq29lNff2e6zwCwGcOLVQYQyZXwDbm8esnaZROXqAZi4iIiIiIiMiVbCXCrVOf0Nt3lvb9C9fdTzSItdYCb1qY0z3GmI8aY243xvxP4B7gYeA1Z7n9RuBv6G5//FPgm8aY+40xN5zvSxhj7lnuD7jmfMdYCzaPDtAcexaOn6HePr36qrLuFhrF05nkT3pfYZOZ6rvXZsfwwxrtZo19hxVuiYiIiIiIiMjTtxLh1qnDk8pnaT9VP3Cugay1nwBeCpSA1wO/BdxGd2vjh4HHl7ntPcALgVEgD9wC/APdwOtLxpiN5/UWct6skyCVcGi02vjNmW6l4zK/6aV9/X7Z/SQAzXDhPjdBnB6m0WzhVY/Rmdd5/yIiIiIiIiLy9KxEuLVijDE/A/w78DXgWrrbGa8Fvkh3RdbHzrzHWvvr1tpvWGtnrLU1a+13rLWvAf4RGAF+43yeba29ebk/ul9+lEXGBrKkUhmq6Y34zSlY2I1aG35mX7/rnEMAzC86/n9gaBSnOYvTnOH4zDztUGdviYiIiIiIiMhTtxLh1qmVWWf7/N2p+tITDbJwrtaH6G4/vM1a+4i1tmmtfYTu6q17gNcYY15ynvP6wML1xefZX87T1pE8wfiziRM5gsj26sPkIEee+au98g3OIV7vfo7vLj4lzc/QSI5SbUXMnTjE/XseZb4eXMDZi4iIiIiIiMiVZCXCrVNfNjzbmVqnDmI625lcp7wc8IGvLnMwfQzcsVC8+Tzndeq083N9pVGeJMcxWDdJwvOpt0MSzdNna3Uy6/r6vs79Eu97oP/+dcODmPoM1YkDtCozHJiuXYhpi4iIiIiIiMgVaCXCrS8vXF9ujOkbzxiTp3seVgO46xzjJBeuo2dpP1V/vst8Tn0xcblzuuRpcgwkkklm/HHcoIKJuv9bWrmtVEaf0+t3rXOUzWaSryw6XstJ5CiM7yDhOlCbxtZnmSi3qLY6F/o1REREREREROQy97TDLWvtAeDzwDa6Xztc7J10V079rbW2fqrSGHONMebMrxB+beH6amNM3+FNxphnAa8GLPClRfXPNMb4Z85p4f53LRT/7sm+k5zb9tEsdvwGTLLARGVR3mgMk7t+qq/vn/h/yrvvA3t6ByPW9RnwApzaSVozh7nn8DwPHSvTifoW7YmIiIiIiIiIPCFvhcb5JeAbwPuNMS8D9gLPA76P7nbEt5/Rf+/C1ZyqsNZ+2xjzYeANwN3GmH8CDtMNzX4cSADvtdY+vGicXwN+zBjzNeAo0AauAV4BuMBfAf/fCr2jLLIun+JIOkt2sECzYqF8FAa3g3EI0uuIvAxu2ADgmaa7eO7Ok/CiDd37Yy+DVxinUJmm3KowNzNJcnw93zk0z/N3Dl+s1xIRERERERGRy8yKfC1xYfXWc4CP0A21fh3YCbwPuNVaO3v2u/v8HN1w65vADy6M8wPA14HXWWvfckb/TwJfBa4H/iPwZrpncn0W+A/W2p+3dvF6IVlJN28dxPUzuINbmKu1cMJmt8HxOPC8d/X6Ocbydu/vuP2e/tVbkZch78O4W2F9eJwT5e795aa2J4qIiIiIiIjI+VmplVtYa4/SDabOp685S72lG5B95DzH+STdgEsuAmMMm6+5mWMPlKhWPObrbYoD3fP7O6lhYieJE7cB+Fn3s7wvfBVz7QzDqe791k3SSY3it6YZK45wol1luuaz54Tllm1DeO6KZK8iIiIiIiIicgVTeiBPy1A+jU0OUEx5OKVDRJ1Wt8HxmLzqtb1+rrE8z9nLnz/Yf3+YyGOISQTzXGsOM11u0ezETFXbF/AtRERERERERORypXBLnrbrto7hDG6BVJH5UqlXP7f1hwj9fK/8N4k/Ys9kvf9mxyNIj5GoT5BxwYtb1Nshh2cbF2r6IiIiIiIiInIZU7glT5u/bhdxephsyieyMbO106uuGgO7+/puNZNL7g+Tg2AMbqfKzuARavXmqs9ZRERERERERK4MCrdkRVyzeZSU77HeztCqlwnCGIDj17+pr98/J99BvRUsuT9Ij5OsHWMwaQjbVcDSCMILMXURERERERERuYwp3JIV4WWH2LpjN25hPQUnYLLSPXsr9lLUhm/o67vv0YeX3B+mBrFuAjduM1zeS6VWZc+JygWZu4iIiIiIiIhcvhRuycrIrSMxvI2EZ8h6IWApNzsATO34ib6uN09+AuJoyRCd1DDJ2jHSTkC7VqIT2QsxcxERERERERG5jCnckhW1abhA1nQYcyvMN7rbD5sDu3kgdUuvz7XmEPmZ+5bcGyYHif0MQ0lIzD4CrTIPHStjrUIuEREREREREVmewi1ZOdkRvNwIGzdvJevGuA7U2t3VW97m5/R1NSfuXXaITnKQQjCFF9SYmppgtt7m3iPzzNTatMOlq71EREREREREZG1TuCUrJ5GFkV0kPQc/KJPzLNXWQiC17Xv4cnRjr+vm6a+Qm7l/yRBRokiYLLK56OOXD1GaPs50tc29h+e593BJq7hEREREREREpI/CLVlZxgU3hZsZIBdM9622+pb77L6uyemHlh0iTBRJtKbZkQ1IdcpUmiFH5xu0OhH3HS2t6vRFRERERERE5PKicEtWVmYIihvIDY6Scvubnn/ri5m2xV55/NhnOXl435IhYj9HJz2CS8gWr8TO5DyOMZwsNWl3IsqNzmq/hYiIiIiIiIhcJhRuycpyXChuYjCTIBk3SIUV4oWthCP5JB8wr+3rXtr7JfYvsxgr8gt4rXn85jR+c4ar1+VodiJmagF7TlboRPGFeBsRERERERERucQp3JKV5yYxfoYgu5FsZ5YwOn1O1siu5/Z1fbV7B/90//ElQ8ReiiC7HhOHeK150tVDbBhIM11tUQ9Cvn1wjvuPlggVcomIiIiIiIisaQq3ZOUlMrD+mUReGtdGdBadu/XibVnu3/2rfd1/svUJfv8e2DPXP0zk53HDOonmJInmFIMpw0AmweGZOodn60xXWuw5WbkQbyQiIiIiIiIilyiFW7I6vBRg8D2X9vRjfU3JDc/oK/+w+20ePlHhrXdCuGghlnU8WrnNGBvidOqkS/tZX0xzzXiBZhBRboXU2xEiIiIiIiIisnYp3JLV4acZGd+IWXcNibhFa9HqrdjPsu+md/R1f7f/lwC8+Y7+YWIvgzUeycYEXlDB6dRxHMP6gTRBR8GWiIiIiIiIyFqncEtWhzGsu+o5eI5D2neYnZ3pa44GtvWVX+beh0vE4Socry0exyHIrAcb4bXnyZQeBSCTcOnEMWEUU2+Hq/wyIiIiIiIiInKpUrglq8cYRosZvMI4ueZJgs7pECr2Mhy6+e193f/G/0MAfv7LYE+fQY91E3RSwyQaEzhRgN+cJum5hJGlHcacKDUvyOuIiIiIiIiIyKVH4ZasHmMY2XETNreOdNLjZLne19wo7iLyMr3yS9wH8OgGYA+fcbh8mBwE45BoTJAu7Ye4uyWx0uowUwtW9z1ERERERERE5JKlcEtWlZMdYriQJZ/0GGgcJo5Pn5Nl3QRHn/nmvv4f9N8DwLu+c8ZAxqGV3YzXmsMQk648zubBNNVWSGwtU5XWar+KiIiIiIiIiFyCFG7JqhtfN0Z7cBeu69Oo96/eqg8/k05ioFd+qXs/65mlssxirNjPELspErVjJOonKXohYRQzVWlxYLpOudFZ7VcRERERERERkUuMwi1ZfWPXEXsZkr5LvTrXf6AWMHHN6/vKH0j8MWCJ+7sB0Mpvwe00wMbkZh9k24BPudlhutpiz8kKNR0uLyIiIiIiIrKmKNySC2LjSJFEboBkp4ITNvraKmO30sxt7ZVvdB7nBnOQP75/mYEcjzA5SLp2CLdTo0iNgUyCaiuk1Ah48GiJRqCAS0RERERERGStULglF0Rx427i9CiRm+odBr/YzPYf6yv/ZeI93HFs+ZAqyK4ndlKYuEO6vJ/xRIts0uNEqUmp2eGBo+VVeQcRERERERERufQo3JILwk0XCVNDeA7Y0iGcsP8A+Mr4C6gO39grbzBzvNh5kO9MLj9eJzVEon4SLyiTqR9jLOezaSjDyVKTIIz45oFZmsHSEE1EREREREREriwKt+SCiRJ5wsIWZuMcTlhf0j6/6aV95b/y/4j/8e0mXz4GU/07GYkSBTqpYdxOA785RaI5QSHl4ziGo/NNSs2A+4+WVvN1REREREREROQSoHBLLpjk8BZMYZwwBr81C3H/tsPqulsojb+gV3aN5cfcb/KH98Ebvgi/ckf/eGFyEDeo4AZVUtWjOJ0au8fyJFyH6WobAGuXOZVeRERERERERK4YCrfkgtkwkCaRTNHxs0RuEr89v6RPacNL+sq/7/81I3TP0HqsDPsXLcayboIguwGvU8NrzZJsTOAYw+ahDJ0wphNFTNfaq/lKIiIiIiIiInKRKdySC2Yom8DmNxKnhimFSZxoafBUH76emS0/1Fd3m/eF3u9f/RpE8em2MFEk8lK4YRO/OUOifrzXVmp0ODBVp97W1xNFRERERERErlQKt+SCso6PKW6g3IpwOjX85vSSPqUNL+4r/4r3v9lmTvbK77l/UaMxdFIjuJ0qyeohUtWjmLjDpqEMs/WA2VqbB4+VeXSiulqvJCIiIiIiIiIXkcItuaB2rssyMDRGmBqkkRpfdvVWO7+Vk1ff1lf3S+6ne7+/chxe9a9wYuFMeusmaeW34sQRTlgnM/8IhZTPhmKayWqLx6ZrzNXbHC81V/XdREREREREROTCU7glF9S6fIrYz1IpXMXJcpOgPofTXvpVw8rY8/vKr/W+yrPMY71yO4I3fgkeWTi2K3bTxG6CZO04bqeO35ymkPa5drxA0Ik4XmpyZLbB49M1Oov3NYqIiIiIiIjIZU3hllxwKd9hw3CRbL7ItBkhqCzdmhgmBzj8rLf21d2e/diSfu+5b+GHMbQzG8BakvXjpCuPg7UYY9g2kqXWCjleanJgusZ3Ds0TKuASERERERERuSIo3JIL7qYtg+zavIHEhhtIpLI061WcsLWkX334+r7yteEe/vlZ3+6ry/qLCo5LO78Ft12GOCY3+yDYmEzCY9Nghmqrw0S5Rb0dcvehpV9qFBEREREREZHLj8ItuSjGCikKxUESiSQtv0h79hD1oP+rhtbx2f+CP+qru/rQ3/HO550u7yuBtafLsZcmSuTJzO/FDSokmlMAZJMeV4/lSfkuh+fqBFHEvkkdMi8iIiIiIiJyuVO4JRfN+OgQ4eB2EoPjuHGb2UqDMO7fLhhkxqkPXtcrJ1ozvHD+k319Dp+RUbVzm7FuArddJl3aj9NpAGCMYdNgBixMV9rM1gL2nqyszsuJiIiIiIiIyAWhcEsumkLKZ8eOXewaLZDJ5hkNjnJsrtHfyRgOP/s3+6quOvL3pDm9jfHd9y4du50ZJ9GcgENsvAAAIABJREFUwsQBubmHMFFw+v51eSqtDo9N15ittZmpLf1io4iIiIiIiIhcHhRuyUU1OpBndNNVJMd2M5Ds7i8882uG1vGZ3v7jfXUfTfwB0O1/aJndhbGfI0wOkKydxA0qJOsnem0Jz+Hqse5XFOcbHfZP1lb2pURERERERETkglG4JRffyFWMD2RwjcN4dIzj8w3ixQdpAVNXvZYgNdIrP9d5lGvNkV75w3uXDhtk1mMdB6fTIFk7it88/VVGxzEM55KUmh3A0upEK/5aIiIiIiIiIrL6FG7JJcHLDDK44yYGky4pJ6IZLA2bJnf/dF/5s8m3kVnYnvgPj8F902fcYAxBZhy/Nds9f6t8AKdT7zWvyycJOhGlRof7jpRW/J1EREREREREZPUp3JJLw/j1DOTzgGEgOMl0tbmkS2XsVqojN/XV/Uf3873f77gLPnek/57YyxBk1uO3S3itWdKVg73PKxpjWD+Q5kS5SRBFPDqhryeKiIiIiIiIXG4UbsmlI5HBH9lKOuHhRa1lu0xe9ZN95d/0P8a15nCv/P4HYM9c/z1hcoDIT+N2GnitWVLVQ722wUwCLJwstZirB4iIiIiIiIjI5UXhllw61l3HupFhEp5HJpgmjpduTWzntzC97ZV9dR9Ivp8EnV75rXf2Fmd1GUMnvQ63UyXRmCDRmMRrzfaarxkvUA9Cwiim0uogIiIiIiIiIpcPhVty6XBckvkRwvQwCcdQLc8t223mjHBrKyd5TeLOvrof/QwcX/QRROv4tAo7cKMWicYJMqX9EIfdxzoGLNSCkIePV6gq4BIRERERERG5bCjckkvL0E4iP08ynSGuTsEyq7diP8ORZ/5qX927nA+y2Uz21f3KHWfc56VoZ9bjBnWcsE527uFeWz7lM18PmKu3+e7xMvsndf6WiIiIiIiIyOVA4ZZcWrwEQ+u3YlIFMA5Oe/nVW9V1t1Aaf0Ff3f/a9Km+cnNpLkbk54m8DKnqEdywSapyCICNA2kKKZ+JcouDM3Wmq20aQbgiryQiIiIiIiIiq0fhllxy1m26Ci8ziJPMMTc9QaezzDZBY5g643D5zdNf4cs339VX99DM0vuC7Aas45GqPE6ifgKvXcJxDMO5JNeMF2gGEeVWhweOllf4zURERERERERkpSnckkuOm0gxuPEqhgaKJBNJ5qaPM1VtUW33h1yd9CiHn/XWvrrtD78fn9Mrrn7rm3DkzB2GxtDM78AJW3hBmczcw5ioDXTP30onPCrNDmEUc2imvirvKCIiIiIiIiIrQ+GWXJI2bNpObnCUdHGYca9OxofZWkBk475+tZEbaWc39NV9IPvBvvIvfgXee/8ZD3Bc2rlNJOonMVGH/PR9mCgAYMtQhlorZLLa4mS5he379KKIiIiIiIiIXEoUbsmlyUuwaecNbB0bZMvYEEPhLNmEy9G5Zn8/43DwOf+tr+pl0dd5ttnXV/eFo7DnjOO7okSBMDlIunoQt1MjU3oU4gjXMewYzVFthbTDiINavSUiIiIiIiJyyVK4JZeuzBC5wfXkhjYw6NQZSDu4Biqt/u2JUaLIsWf8Ql/dxwvvY2ehf8XVW++Ev/wuRIsWfwXZ9UR+Dq81j9+cIlk/DkDKd4ljy3w9YLLSXp33ExEREREREZGnTeGWXLpcH4Z3guMxMjREvnmCQjrBXD2gE/VvTyyv/x6a+W29st+e5xPrPsRNI/1DfvogvPJfIFqUewWZcdxOFTeokaoexm9MAbBlOMt8o7tVcaamgEtERERERETkUqRwSy5tySIU1kNhIxsyEUU/JpdwmSg3OTrXOH0GlzEcfO47+24dOvZF/uAZh5Yd9s1fPf3bOj6t/Db81ixea4505XG8dolc0sNamKw0eXSiqu2JIiIiIiIiIpcghVtyaXMcGL4KjEM6N8RGJhjJpxgrpEn6DpPl0yuqrONz8pr/1Hf77m/9Np/+wRZvuLZ/2ENVuGvidDn2M7Rzm/CDEn5jksz8Izhhk+0jOWZrAcfnm5wsNWl1olV8WRERERERERF5shRuyaXPT8PgVhjYzEDCcu2IR8JzyCRcgjO2J85tfjnV4Rv76nY++Ie8emfMu1/YP+zv3Q1fOHK6HCUKBKl1uJ0aXnuezPxe0r5h93ieaqtDtdXhviMlolhfTxQRERERERG5VCjcksvD4HbAgfQgTukQ64sJfHf5f74nr/3ZvnJ2fg+5mQe4bghevKG/73sfgGpwuhwmi8RuCq89hxtUycw/iuc4FNMJJiptGkHI0bnGCr+ciIiIiIiIiDxVCrfk8uA4MHIVFDcDkI5qOI7BNSw5XL6THuXEtT/XV7f1/neTqJ/kN26Czbn+oW+/Z1HBOATZ9WANqephvKBMqvI4GwfThFFMvR1ystxiVgfMi4iIiIiIiFwSFG7J5aOwHrwkZIZIt6ZI2BDfc6i3wyVd5ze9jPK65/bVbfvO7+HZNn/xkv6+D8yccbNxaBW2gTGkS/tINKbwG5NsG8kyU2szV2/z3RNljs1rBZeIiIiIiIjIxaZwSy4vI7sgNw6Oj9+cJuU6lJqdZbtO7v6ZvrIflBg6+u8Yw5Lzt173uTNuNg7Nwk5MHJJonCBdfoyCrbK+mGai3GKuFnB0rrmCLyYiIiIiIiIiT8WKhVvGmE3GmA8ZY04YY9rGmEPGmPcaYwaf5DgvMsZ8auH+ljHmiDHmX40xr3iCe64zxvy9MWZq4Z5HjTHvNMakn/6bySUlPQipImRHGE7FFNzugVlRHC/p2kmPcOjZb+urG9///5KdfYjrhvr7VgI4Uj1jAOPQKuzAa5XwggrZuYcZ8jtsGc5SbnYIoohvHpilHeoLiiIiIiIiIiIXy4qEW8aYncA9wBuAbwN/DDwO/ArwTWPM8HmO84vA14CXLVz/GPgq8L3AZ40xb1/mnucBdwM/Dvw78D6gAvwO8AVjTPJpvZxceoavgvQgA7ks2dZx8r7l6HyT2C79imF9+AZmtv5oX922e2/H7dR47/f09/3Fryx9VOylaOc2kaifxAmb5GYeoOAExBaOzDUpNwPuPVwijJaGayIiIiIiIiKy+lZq5dafA+uAN1trf9xa+1vW2pfSDaeuBt51rgGMMT5wO9ACbrbW3matfZu19jbgOUAbePvisMoY4wIfBjLAq621P22t/U3gecA/Ai8E3rJC7yiXikQG8uM4uXVks3kG3TZJz2Gysvwh71M7fwJr3L668Uc+wq4BGE319w2WWYQVJQoEmXGS1aN4QYXc7INcN+KS9l0myi0qzYC7D80Tx0vDNRERERERERFZXU873FpYtfVy4BDwZ2c0/3egDtxmjMmeY6ghoAjss9Y+urjBWrsX2AekgcXfuvte4FrgDmvtpxf1j4H/ulD8BWOMeTLvJJeBoR2QGWJ0oECuPcmA16EdRpwoLT0Hy7pJ9n3Pn/TVDUx8g6Ejn+ND39/f988fWv5xYWqITnoUvzmF154nP/sQm3OGdMJjqhbQ6kR86+AcrY62KIqIiIiIiIhcSCuxcuv7Fq6fXwiVeqy1VeBOuiurbj3HOFPANLDbGLNrcYMxZjewC7jfWju7qOmlC9d/O3Mwa+3jdAOxrcCO83sVuWw4LhQ34uTGWL9hEwXqbBxME1nLVLW1pHuYHODws97aV7f+0Y+Sapzoq/vCUfiRf4aT9aWP7KRHifw8XnsOr10iO/sgWwouBjg8W6fUDLjvSGkl31JEREREREREzmElwq2rF677ztK+f+G6+4kGsdZa4E0Lc7rHGPNRY8ztxpj/Sfc8r4eB16zGswGMMfcs9wdcc6575SIpbICBzaSSSXbm2qSDMqP5JI0gIlzmgPna6E3Mb3hJX92Ob/8OP3vt0r7/55eWf2SQGcMaHzco4QVlcvN72DmSYSibYLLcIopjmsvtbRQRERERERGRVbES4VZx4Vo+S/up+oFzDWSt/QTd1Vgl4PXAbwG30d3a+GG6h9SvyrPlMpVbB9lR3IEt7Mo1SLmGXMLl2HyTSquzpPuJ695IK7upV3bDBm8p3c7rdi09L+vzR5Z5nnFoZzdirMVvzuC2S2Tn9jCaTxHFlmYn4v6jWr0lIiIiIiIicqGs1IHyK8IY8zN0v3j4NbpnaWUWrl8E/hT42Go921p783J/wCOr9UxZAakCrLsWXA/H8VhvZhjOJRnOJZirB0v7G8Ohm/s/upmff5hfTX6KT/5If9f3PQDt5RZhOS6t/FaMjUjWT+AGZTLze8mlfE4urN765oFZpipLt0eKiIiIiIiIyMpaiXDr1Oqo4lnaT9U/4XKWhXO1PkR3++Ft1tpHrLVNa+0jdFdv3QO8xhjzkpV+tlzmUkXIDENhI0NOg20DDtmEB0Bsl67IipJFjt7wy311Y4/9Pfn6IXafscbvrXee5ZnGoVnYgcGSKe/Ha5e52hwlii37p2ocLzU5MF1jz4nK8iGbiIiIiIiIiKyIlQi3Tn3Z8GznWp06HP5s52Kd8nLAB766zMH0MXDHQvHmVXi2XM5cH8ae0b1mRsg1TuAYg+8ays2lWxMBKuPPZ2bLD/fV7bzrt3nPs2f76g6UoXK2bMo4NAs7scYjU3oUvzXLTakJtgymKTcCjsw1eHy6xkPHS3zzwCwPHStzstzELhO4iYiIiIiIiMhTsxLh1pcXri83xvSNZ4zJAy8EGsBd5xgnuXAdPUv7qfrFUcOpY79fcWZnY8wOuqHXYZae1SVXmkQWhndCdhSiNn5zmnzKp9zs0Oosf8D75O6fJkj3/3O7/hu/zIdfXOur+/17nuC5xnQDLgyp6mES9QlGGgfYtS5L2veYrLQ4NNPg0GyNA9NV9k1U+dbBOeJYAZeIiIiIiIjISnja4Za19gDweWAb3a8dLvZOIAv8rbW2fqrSGHONMebMrxB+beH6amPMMxc3GGOeBbwasJwOtAC+CuwFXmyMeeWi/g7wBwvFD1gtlVkbipvATcDQDrYkqxSSHgMZn4lKi8nlzr8yzpLztwCec+BPcTi9ePCBmXM81xiaxatwohaJxgR+fYJiZT+jWY/rNhTZMpRhIJ1gthZwvNSk1Yn41sG5p/myIiIiIiIiIgIrd6D8LwFTwPuNMZ80xtxujPkS8Ba6WwLPTBD2Lvz1WGu/TfeLiGngbmPMx4wxf2CM+TjwLSAFvM9a+/CieyLgDXRXhv2DMeZ/GWN+f6H/q4E7gT9eoXeUS53jwuZbIJEj5fvsNMcYSHlsGkzT7ETLblHspNfx+C3/va8uP/sgn9j5ub66V/0rhH2bZc9gHJrFXbidGonWNInGSTKlRyGOSPkuA5kE14wXaAYRR+YaRHHM3YcUcImIiIiIiIg8XSsSbi2s3noO8BHgecCvAzuB9wG3Wmtnz353n5+jG1Z9E/jBhXF+APg68Dpr7VuWefa3gFuAT9E9t+stdA+S/13gB6y17af8YnL58ZLdrYljzyDluzxjMMZzHEZzCeYbAaVGZ8kh882Bqzl6/X/pq7v5+N/yA853euV2BK/9tyd+tHU8msWrcIMqfmuWROMk2fm9EHe3RTqO4boNRTphzIHpOs0g5OhcY2XeW0RERERERGSN8lZqIGvtUbrB1Pn0NWept3QDso88yWfvAV7zZO6RK9i6a+BYvfsVxdokW4ubeXzeZTCToBGElJoB24azfbdUxm+lNHs/Aye/3qv7q8R7+KH27ey1W4FuwHWgDDvP9m1OwLoJmsWrSJcPdDfRYsjaiPrQ9d2VZcB1G4rsOVFmuhbgu00KaZ9i2l/p/woiIiIiIiIia8JKbUsUubQMbYf8evCS5OpH2TqYpJj2GcomcR3Dodl6f3/jcPy6nydIDfdVfzb5NtKcPq/rzXdAM3ziR1s3QXPgKtywjt+cxmvNkZt9EBZ9BPSqdXlK9YCZWpuHjpV4ZKLytF9ZREREREREZC1SuCVXpsxQd3tibhy8JEXT4Jr1ebJJl82DaRwDldYZZ3A5Ho+98D1LhvrH5Dv7yp947NyPt45Po3gVThSQbJzAbZfJT9/bC7gSnsPW4SxTlRZH5hrMVNvcf7RE8IQHe4mIiIiIiIjImRRuyZVrZBekB8BLQXUCt13l6rE8YBjIJJirB9SD/mVY1vHZ+5IP9tVdZw7zbu8DvfLH98NH9sI5v8HpeDSLOwGHVO0ITlAjP/Wd3hlc2aTHNeu7h8wfnm0wXW1xz+F5mkG0Ai8vIiIiIiIisjYo3JIrl+PC8FVQ2ADZYSgfhajDpsE0mYTLUCbBdLVNJ+pfLRX7OR5/7u/21b3Gu4O3eh/rlT/xGPzzwfOYg3FoFbYTexnSlcdxwhaFyW9j4u6qMccYrllfIOE5HJltUGoG3H+09LRfXURERERERGStULglV7bsMAxug0S2+1efoZj22TGSo5D2ySZcpqqtJbc1i1dx/Lqf76t7k/dpXuN+pVf+y4chPtfqrQXt3CbC5CDp8mM4UZP85N04Yfe5jjFsGswwmO2GbYC2J4qIiIiIiIicJ4VbcuXLj0NmFJJ5aExDc558yiPpO2STHp1o+YSqtPElTG3/P/rq3u1/kGebfb3yj30GphrnN40gu55OepRU5RBup0Zu+l7c4PRB8uuLaTphTK3V4Z7D8xycqT/BaCIiIiIiIiICCrdkLXB9GL0a0oNQ3NLbnrjl/2fvzqMsS8s633/3vM8ccWLOjMh5qoIqqKIKSigEhIaWQm0UuSrItFQcQS4quO5tVBoHGqEF524BxcartG0rKIjdSDFIzfOUWZVD5BDzcOZhj+/9Y0dGZmREZAwZETk9n7VyRZ69373PPknWqVU/nud5i2lcy8AyNCaqi6u3AKb2/TDVnhctOPZ3zq+zTzsz//qdX4Oav7pHCVI9+OkBnPoZTL9MZuZJrNbU/PnurMOp2SbDM3XGK23UioO9hBBCCCGEEEKI65uEW+L64Oah7/lgOmDnoHIa29DRNY2urEMriIjipVsBz9z08wR2YcGx/+P8Cnu1kfnXP/JVaIcXXrm00O3Eyw5iN8axWlOky0dwaqcA6M277O3N4gUx7SDi/hOz6/u8QgghhBBCCCHEdULCLXH9SHUmw+XzA+DXoT7JoYEcrmmQtQ1Ol1pLXqYMh+N3/Pai419zfpkhbWL+9Q99ZfUVXJGdp53bhdWewW5O4NZOki4lWzA6poFSMFpuEUQxRydrVFoB8WoHfAkhhBBCCCGEENcRCbfE9UPXk/ZEw4HiXqiPY8QB3VmHzowNQLxMG2DodPDsnZ9adPxbzvvopjL/+ke+uvrHia00rcI+DK+C3RjBak6SnXoY4pCD/TnaQcREzWN4psnDJ0vcd2KWUmOV6ZkQQgghhBBCCHGdkHBLXF8MC4ZeDFY6aU+cOUpfzsLQdSxDo+4t31sYpLo58vI/WHT8W857sQnmX6+2egtAGTbNjoPokY9bO43pV8hPPoge+/PtiWPlFsMzDabqbZ4arXDPsRkeOlkijGRHRSGEEEIIIYQQQsItcf2xXCjuguJuUArKp0ApMrbJbMNnpu4tX8HlFnn2zk8uOJbSfL5ifxBIrllL9RYAukGrsJ/YdHFrJzH8KrnJh0nHDXZ3Z9jXm2N7R4qpqsexqQZHp+rMNjweGC6t/bMLIYQQQgghhBDXGAm3xPWpYwc4WSjugdBjwGmRdU16sjZeGHNmtrnspUGqh2Mv/siCY3v1Mf7M+t3513d9CR6cuPDKi9A0vOwggdtz3k6KT2A3RgHIuRY3biuwqytDHCumah5+FHHPsZlld3oUQgghhBBCCCGuBxJuietX/81gpcDJUYxLHCgaZByL7qyDpkEriJa9tF3Yw/AtH1hw7DXGI/yh9Xvzr3/tfnjH/4Hnyqt/pCDVjZfdjt0Yw2pNk6ocI106DHHyLLaps68nSxApjk7WGau0ODJe5cmRygp3FkIIIYQQQgghrk0Sbonrl25A3/OSHRStFKnqCW7stbFNnbRjrlgR1eh+Aadvfs+CY3cZ9/Np62OcbVGcasEvfiup5HrTV+D+iaQT8mIiu0A7f3YnxXHsxii5qYfQIi95bF3jQF+O3V1ZSg2fM6UW5abPA8OzHJ2s0b5IKCeEEEIIIYQQQlxrJNwS17d0ETqGID8IqU608mnyrk7GMTF0jem6d9HLq313MPK8dy849mrjET5n/Q46Cwe+t0L4jfvhzw+v/FixmabVsR8jaGA3xzHbJXJTj2D41fk1KdvgUH+elh9xaqbJyZkGz03UeeRUmZFya/V/BkIIIYQQQgghxFVMwi0hOndBfgCcPOg6260GrmlQTFvUvRC1QqlVedsrGLnxJxcc+27jCf4u8zsLdlE862+Pwm89uPJjKd2i2XEApdvYrQnM1jSZ2aexm+Pza3Rd49BAnq6sQxzDRLXNqdkGp2aaNC6y86MQQgghhBBCCHGtkHBLCEh2TnQL4OTRG5Psy3qkbBPL0Ck1FwdUFypvfxVjB9++4NgLoyd5aOCj/Ol3+9zSvXD9v43B51ZRwYWmJ4PmU73Y7Smc+mncygnSs0+BSirDdE0jn7IYKqbZUcxQb4dUWj6PnCoxPN0gjlfogxRCCCGEEEIIIa5iEm4JAWA6MHAzZHqgMITTHMMMW+Qck2p75XALYHbH6xjf/2MLjuVKT3Pns7/NR14S8vZDC9f/zXMwUl/d44VOB638Xgy/RqryHFZrmvzE/ejhwvbDlG3QX0gxUmoxXfc4Pt3g6bHqMncVQgghhBBCCCGufhJuCXGWW4D+54OdhmwvQ4yRtZNTQRRf/No5M7vewPj+H11wLFM+wp4Hfp0374v54X0L1//U15NZXKuhDJtm5w3EZppU9TiGXyU79QhWc3LBumLGZnd3lpm6z3TNo9YOiaR6SwghhBBCCCHENUrCLSHO53ZA1z5wO8jm8qQbI2Qdk5Fyi6a/uhRqZucbGDvw4wuOparH2XvPB3jHocUh2Zu+AodLq3w+TcPLDuKn+nDqZ7BaU6TLR0iXnoH43C6JKdvgQF+OWjug4Yfcf2KWuszgEkIIIYQQQghxDZJwS4jzaRoUhiDXD4Uh+lIR27QZOtM2kzWPeIXh8mfvMbvzexk99K4Fh93GCPu//T6+eNfigOv934a7R1b/mKFbpJ3bhdWewW6MYjfGyE8+gB4059eYhk4x43ByukG56fPcRG31byCEEEIIIYQQQlwlJNwS4kK6Dr3PAztLdvAmBt0WRa2OY+qMlFsr7p54VmnoNZx5/s8uOGa3p7jxmz/NF163OOD62MNw15dglR2QxFaaZscB9DjAqZ/B9Epkpx/DqZ2CuWfsL7g4lkHDj2gHMZO19upuLoQQQgghhBBCXCUk3BJiKboOg7eDYZIqDuG0JyjaIZoGTT9a+fo5lYE7OfWC9y84ZgZ1XvyNt/Llu5ZuE/zckbU8p0mrsI/A7cJujOE0RnCrw+QmH0CLPAC6sw4NL2S00uLYZIOnR6s8PVrlyZEK03WPajtYdWAnhBBCCCGEEEJcaSTcEmI5ug4DL4BMN0P9vXR6I6S0iKm6t6bb1HpfxPAtH1h0/MavvY2vvK6+aMj83x5d+6OGbhetwj4Mv4rTOI3ZLpGbegSzPUMhZbGtkKLc9Dk50+DxM2UeP1NmeLrBo6fKPHyyxL3HZ9f+pkIIIYQQQgghxBVAwi0hLsbNQ/d+zOIu0ukM28OT6HHA8Exj1TsoAjS6X8CJ2/7jouM3fOOn+Kkdo3zkjoXHf/Cf4PQaR2QluykeIjbSOK1x7OYo6fJzpEpHyDo6+3tzdGUdurIOGcek2g45PdtkeLpBFMecnGlIBZcQQgghhBBCiKuOhFtCrCTXD4VB+nbeAG6BQ+YYWTNmpNxa022anTdw7CW/uej4/u/8EncaTy045sXw3m+t41k1HT8zQDsziOlVSJWPYrcmyY/fhxvWyDomWcekO+uwuzvDoYE8UayYqnkMTze49/gsJ6Yl5BJCCCGEEEIIcfWQcEuI1Sjuhvw29u7cjZ0u0BdNgIrxw9VXbwG087t57mWfWHR810O/yad3373gmBfBc+X1PW5sZWh2HCQ2bFLl5zC9WbIzj5MqHYF44cywPT1ZZpsBx6cbnJ5tcmq2wWhFBs8LIYQQQgghhLg6SLglxGoV90C2h4H+fkzLpE9NM1ppUWkFa7qNn+7n8Cv+ZNHxV4/9V765968WHPvFb8Ea5tcvpOl4uR142SHs5gR2YxynMUJ+8gEMrzK/zLUMbhzIs6c7S60dUGkGnJppEq6h7VIIIYQQQgghhLhcJNwSYrV0A/qeh54u0tvbT9EKGDTKlJo+DW/pnQ+XE9l5nv6eP6edGVxwfMfIP/I/3N8EzrUFvvHLcNeX4C+eWd9jR3aOVscB9NjDqZ/BbE+TmX2SzMyTaPG5YM42dQaLaabrHg0/5IHhEjN1b02zxYQQQgghhBBCiK0m4ZYQa2E6sP1W8p29DO7aRz6u0G/UmKp7a25RVIbNse/6KOWBOxccv52neMZ5Jw7+guNfOJqEXJ9+Go5XWBOlm7QK+/DTfdjNSZz6aazmBLnJhzC90vy6vGthGToTlTbTdY8nRircf2KW07PNtb2hEEIIIYQQQgixRSTcEmKtrBQM3oadKtCz8xCd0TRFvcFYpUXDX1sFF5rGyPN/lvEDb11wOKX5HHHfQQ+Lh2793TH4hW/C4dKiUyuK7ALNjoOAhtMYwW6Oky4dITP92HwV156eLB1pm5m6z7HJOmOVFidnks8nhBBCCCGEEEJcaSTcEmI9rBQM3U42k6O4fR/9apoey2eq5q3rdjM7X8+pF/zfi44/4P4sv3tg6X7E938bvjIMa97YUDfwcjvxM9swvRLp8hGs9jS5iQexm+PomkYxY3OwP8eBvhyVZjC3m2KTUsOXnRSFEEIIIYQQQlxRJNwSYr2sFAy+iI7OHvq3DdEdjWMrj3a4vgnwtd7bOP7iDy86/qZT/4l7bvx7PnjL4rbHP3gC3vCPEKyfYUymAAAgAElEQVRjLFZkZWl2HCK08rjVk9itCVLl58iP34seJG2IpqGzsytDpRVQafk8fqbMvcdneeJMhamaRxRL0CWEEEIIIYQQ4vKScEuIS+HkoP/5pIrbiawcPf4ZJkvVdVc3tQr7ePbOTy46PnD8C7xt9Df44mvbS173H/4JnpiGyloLxzQNPzNAO78bsz2LWx3G9Mpkpx8hXXoGLQ7IOCbFjMNIqcWJ6QYnpuucmm3Oz+O6/8Qs9x6fWfPMMSGEEEIIIYQQYiNIuCXEpUoXoXs/2b49pDJ5ulonOT1dptoKVr52CUGqh2de+We0M9sXvk3lOW7+5rv46quneNuhxdd98B74sX+BP3wc1lpQFZspmp03EDqd2I1RnPoIdn2U3ORDWM0JenION24rsLcnS9o2mal7DE/XOTxe5enRCtVWwEMnSwRRTCzVXEIIIYQQQgghtpCEW0JshFw//btvxOzeQ2dnJ7vi01RqNSaqbZprHTIPxFaaY3f8DtM7Xr/o3MF/ey/v7D7MX79u6Wu/fBJ+68E1vyVoGkGqm1bHATQVzg2cHyNdfnauVbGOaej05V329+U42J9nf28O1zKYrHlEccx9x2e478QMo2UZPi+EEEIIIYQQYmtIuCXERilsZ++B5zO05wbMbDe7GcGlzUzDZ3imwXi1Td1bQzWXbjBx8K0M3/qri07tfvDD7B75In/9OnhecfGl94zDp59ex7B5QOkm7fwevMwgZruEWz2B2Z4hO/Mk6dIzECdhna5pGLrGjmKaMFI8N1nnyHiNkVKyu+Lp2abM5BJCCCGEEEIIsek02fns4jRNe+jWW2+99aGHHrrcjyKuFuXT+BNHqM2OUZ0ep5bdiY+DF8bU/RAdjW0dqTXd0vCrHPrGTy863s5s59gdvw26yd8ehc9esLFilwu/93Iouuv/OGZ7Frs1QazbeJntKMOmnd+Jn94GmrZgbRjFPDtRo5C26crYuJZBIWVhmxr7enPrfwghhBBCCCGEENeUF73oRTz88MMPK6VedKn3ksotITZaxxB27z66egbYvXMnB4xx9nQYdKRtujMOkVJrbtuL7DxPvea/0+hYOGzLbYzwvK+9Dbsxxpv2wY/sX3jdTBt+6duX9nFCt0izcABl2KSqx7Gb46TKx8hP3IfVmlpQHmYaOvv7cjS9kONTdU7ONHj8TJmRUot7j89QavhSzSWEEEIIIYQQYkNJuCXEZujYCcU9kCriFvootk9yqMvEtQx6cy5hHDNdX+PWhprO8O0fYvTQOxed2v+d91M89RV+/GDMz9+88NxECx6bvoTPAqAbeNkhWoU9mH6FVO0EVnOS9Owz5CfuQw/q80utuYDrQF+OroxDwwsZrbSotgIeOVXi/hOzTFbbTNbazDb8de8sKYQQQgghhBBCgLQlrkjaEsW6KQWlYZg9Do1paE6juvbz9FRAO4iYqrXpzrmkLGPNt05VjrLn/g8tOt7ODnHitg8x3M7wM3cvPPdHr4SdG9QZaAR1nNopYsMhdDsJ7Q5i06XZeSOxubAHMp6rVGsHMWEc05d357sZU5aBYxq4lk5/IbnOMnS6MjbaBS2PQgghhBBCCCGuHRvZlmhuxAMJIZagaVDcDZqe/FIx2sxz3NCzn2emIOuaTFTb7Cim0dcY5LQK+zj83X/M/u+8HyNszh9366e54e6fxLn9N9C1/ZzfAfjZp+HXX7IxHy2ysjQ7D2F6JezGOFa7ROB2oUc+oV2gVdiLMmwgGTw/2JkGoNT0afoRANVWgKaBbeh0pK35Vs2sa2IbBp0Zi4F8ipxromlI2CWEEEIIIYQQYklSubUCqdwSG6IyklRwlU6CV6OS3sGpmmKi2sYLY/oLLq659gouVEzf0b+he/hLi05Nb3s1tx9/J+q87uM37oEf2JP8vssFfSPyIqWw2lNY7Rliw8ZP9xMbafzMAO3cjiTYW0YUK2YbHlGcvC43fWIUWcckbZt0ZZKATNM0+vIOmqZRzNjz1W6WoUnoJYQQQgghhBBXoY2s3JJwawUSbokNUx2FmWNQPgVejTNaL6XAotoKKbcCBgopHHN9Y/Cc2kn23furS557WfuTjNCz5LnbemF7Bt5yEDLWut76nDjCaY5h+FUiO4fv9qAMBy+7DS87dNGQ63xBFFNuBkzV2miahlKKQtrG0MA2DfLuuYJT09DpydmABih68y5591I/iBBCCCGEEEKIzSbh1haScEtsqNo4TD8HlTPgVak7fZxsmJSbAeVWgG3oDBTc9VUjqZjdD3yYdOXZRad+1n8PX47vuOjl//R9a3/LpWiRj1M/jR55RE4B3ymizBReZgAvMwj62irUvDCi3g4JY8VM3cM0kpAsjGIKKYuzA7wytkHGMcg4Ji/aWdyYDyOEEEIIIYQQYlNIuLWFJNwSG64+BVOHoTYGrRINq4vhVoogjpmqetiGTnfOWfft8+P3MvTEpxYdH6WHH+J3GWsvXdk0lIWPvhQK63/rBbTIx62dRCMisnIETiexmcbLbMPLDq66kms5fhjT9EMA2kHMbMPDtgx2d6XZ2ZUhN1fhpaGRc030DenBFEIIIYQQQgixEWSgvBBXs2zPueol3STTmOKGbCfP1DMUUiZTdZ9u1p8wVfvv4NnCPg58+z0Ljm9jint4OyfveD+PmLcyXNf4vUfPnT9dhx/7F3j5NvjgJX+1gDJsWh370aI2bu00blAnsrJoYRunMUo7O4SfGVh3yGWbOrZpz7/uL7g8PVphtuHTCqL544auJ7syWjqDHSl6co7M6RJCCCGEEEKIa8illU4IIdYnXYSBF0CmB3Lb0Ntl9juzZGwDQ4eJapswjtd9+yDVzVOv+TwzQ69ddG7nox/ntc/9Gq/rb/ALNy++9lujcM/Yut96EWW4tDr208rtRA+apGoncBojpKrHyY/fh10fgQ2qIN3ZlaHpR8zUfWbqPqPlNqdmGhyfqnN6pskzY1XuPT5Ly49WvpkQQgghhBBCiKuChFtCXC5uHra/CFId0DGIHbdxaycppiw0Dc6UWpd2f01j/NA7OHrH7yw6la4c5Ya7f5I3u/fxsZeBeUEh00cehGCD85+zIVc7txs9aJAqP4fdHCNVOUp+4j7c6nGIL+1NM47Jzq7M/K8DfTn29GTpyjpM1z1OTDeYbXg8erpMpRVs0CcTQgghhBBCCHE5ycytFcjMLbHpogDOPAB+E3/6OOOVBtPuHsaqHts7UljGpWfQWuQz8Mxn6Bz75qJzvtvN8Zf8Jh99MsfXRxaee/M+uGsXdKcu+RGWeKY2bu0UWhwS2TkCt0hsZgidAq38XpRhr3yTNSo3fUYrLXpzLt3Zs7sswrYOF13T6Mk5uNbaBt4LIYQQQgghhFg7GSi/hSTcElsijmHiCWiWiGaOcWqyxGlzBzUfdhTT6Bs0I8qpnWLfvR9c8tzJm97DKx5YekfFn7kJ3rBrQx5hES0Ozu2uaKYJnU4iO09kpmh1HCA2NzZZq7YDzsw2z+ZadKZtTF0jZRmkHRNd07hlRweOqctsLiGEEEIIIYTYJBJubSEJt8SWmn4OauOURw4zW6owrPpo4dCRskjbJra5AZ3EStF/5HN0nf7qkqdvaf8JJfKLjn/kDril59LffllxiNMcxwhqxIZN6HQROh0o3aTZcYDIXvxMl0IphRfG1NohrSCi3g7QtGRul2VoWIbBQMFlV3dmQ99XCCGEEEIIIYTslijEtat7P5gOHcB06zDbmxNUjSLNuMBopUXWMSlmbDRYf1WRpjF+6O2Utr9qySquR9yf5mud/xc/MfZ9qPPG8v2/9ya7KL60HzagU3Ix3cTLDoKKsVpT2I1RrNYUQaqbTOSBZtAq7CVwu2EDKqo0TcO1jAVtiGPlFqdmm8RKUUhZeGHEWKVNZ8Za8h5KQdo26MwsbKFMWcaGtJMKIYQQQgghhFiZVG6tQCq3xGVRnySaPEx16gxxo8RsYFGxephtRYRRjIKNmcelYvqP/OWyVVzvUL/G3d7BRcf700mb4iu2g2tCejNichVjeiXs5gRKNwntDkKngDIc/HQf7ewQ6JuTz7eDiBPTDXQNUvbyM7gMXaczvTj4StsGadukK2uTT1nkHFNaHIUQQgghhBDiPNKWuIUk3BKXTbsCY49Dq0RYn2ZstkYtuwulmUw3POrtcMPmcVmtKfZ/+xfRWPx98GS8ix/3P7hkq+JZtg6ff90mhVyA4Vdx6mdAN4isLIHTQWxmiKw0rcL+DZ/LdVY7iAiieMlzCpiqeYv+/Ft+SMo2SFkGWcfEtnRswyA9F5LFStGddRgqpjflmYUQQgghhBDiaiDh1haScEtcVkELzjwIfg0aM+BVGbOGmGhqTNc9vDCmkLLoTG/AzoJK0Tnyr2x75tNLnv5E8CY+Fb2R+UnsF9idh1+5FbZnwdikIiU9bGM3R9Ejj9hwCZ1OQqcDgGbnQUKnc3PeeA2iWNHwQmabPk0vxDQ0DP1chZ1r6vQXXAxdn5+hFkQxB/tyi9obhRBCCCGEEOJaJeHWFpJwS1x2UQATT0JjGhozxM0ZztBHTaVoeAHlVgBobO/YmOolLfIZevyT5KYfWfL8H/Z9hI+d3EPBhoq/9D0++XLY17Ehj7O0OMJuT2G2Z0HX8d3uJNjSDPx0P+3s4Ka1LK6VH8bEc9+zsVIMTzcwDY3zQ8LOtEUxY3OgP0dvzr1MTyqEEEIIIYQQW0fCrS0k4Za4IigFpWGYHYZ2GWqj+Ok+nqun8MKYyWoLBaRtk0LK2pBh5nZ9hP33/PKS5wKnyNHv+ijD7Qw/c/fS1//yrfCKbRsy+315SmEEVZz6CACRU0haFo0UseHQLuydr+y6kgRRzNmv3nYQcabUpCfv0JNNgq18ymSomCbvLj3IXgghhBBCCCGudldkuKVp2iDwYeDfA13AGPD3wG8opUqruP6VwNdX8VY7lFKnz7vuYh/gPqXUHau458WeS8ItceVozsL4kxDUYfYEkZPncKuIF8YEUUQ7iKl7IcWMvWHBSOfp/822w59d8tzUru/nj9Sb+PIpk4nW0tfvysFdu+D1uzbkcZalRT5OYwQ9bBGbLqHTQWTlULqFn+7Dyw6i9CszLKq2As6UmgBkHJOca9GRttA1jd3dGfoLUs0lhBBCCCGEuLZcceGWpml7ge8AvcA/AIeBFwOvAo4AL1NKzaxwj13AO5Y5fRPwg8CTSqmbLrhOASeBP1/iujNKqT9b5cdY7rkk3BJXltCD0/dD5MPMMaIooJ7bS8XXKDd92kHEVN1nqDO1YNbTpdDDJjse+RiZ8pElz48degezg/+Ou/5x+TKt23vhLQdh/2YXUqkYqz2L1ZoE3SC0coROgdjMEBsOrcJeInv54fiXUxjHlBoBU7U2pqGRdy26sw6moXPzYAEAQ9dwreV3cBRCCCGEEEKIq8GVGG59FXgt8B6l1O+fd/wTwPuAP1VK/fQl3P//A34EeK9S6lMXnFPAN5RSr1zv/Vd4bwm3xJUnjmHyKWiVoXwSvDrk+mkYeYZnWoxVWgRRTDFjk3U2rlrpYq2KAMO3/iqfGLuJL564+H3e98Lk5w2dyQD6zaKHLezm2NwAepvQKRLa+bnZXH14me0o48oc4l5vh5yaTeZzbetIYc4FlZah0Zt36cu7GLpG1rkyZosJIYQQQgghxFpcUeHWXNXWUWAY2KuUis87lyNpT9SAXqVUYx337wbOADGwTSlVvuC8hFvi+lUdg5mjUJ+E1iwYNuNaHzOtiNmGR8OPSFsGXVln495TKXJTD7Ljsf+y7JJnX/pxno0G+NMn4YmL1mwmXrkdbigmXxS39MC2zMY9LjBXzTWD1ZoCTSOy8wR2B7GZAk2nld9NkOoBbWMq3TbSWLlFM4gA8IKIQtqmI50ElpahYRsGt+zokGouIYQQQgghxFVlI8Otjfi//F819/Nfzg+2AJRSNU3T/o2kqusO4GvruP/bAQf43IXB1nk6NE17F9APVICHlFL3ruO9hLi65AfAzsDYY2C60Jym3ztGKrsLcHDMgKm6v7HhlqZR672dp17zeTrPfI1thz+zaMmB77yfnak+9r34w/zjaI57J+DByeVvefdI8ut8P3EjvHYHZDai8EzTCVI9BKketKiN0xjHrZ1EGQ6hlUML2yjzBJGVoZXfQ2xtdLq2fgPn7YLphRGj5TZTNY+mF2IaOj05h0dOlUjZyde5qWs8b1sebVMn+QshhBBCCCHElWMjKrc+BvwS8EtKqY8vcf4PgJ8DflYp9cfruP9h4CDJ3K7vLHF+uQ/wGPDjSqknVvk+y5VmHbr11lvTUrklrmihnwRc7XIydL45TSu9nWM1k9FKmyCKGSqmMDahMkmLfAaf+H3yU0v/M1LrvoUzN/0CJ1su/+NocuxEFY5X1/Y+bzkAPWm4cwBsHdDAuJT8RikMv4rTHAMUkZkisguETicAfrp3rm1xA4PBDTZT95iotrHPq9ra0ZnCNg1MQyNtG3RlHHQdujIOhi6BlxBCCCGEEOLKcKVVbhXmflaWOX/2+JrHSGua9gqSYOvJpYKtOZ8A/ifwLNAGDgEfAN4E/KumaS9USo0sc60Q1wbThsHbkvlbs8NgpUhVTpNtQG92kNlWyEzdpze38bvuKcPm9Avfj+mV2H3/r2O3pxacz00/wg1ffxd927+HHTe/FWUkzxDE8G+jSduiriU/T9eXf5/PP5v8/L1HFx7/ob3Jz+1Z+J5BsFab32kakVOg6RTQ4hCrPY3dGMNujBE6HRhBHbsxBppBOzuEn+4H/cpq/evKOnRmbPwwKZodnm4wPNMANBxTJ+daDE83SVn6fGXXof4cnZkrc86YEEIIIYQQQqzHlT6J+Kfmfv7X5RYopd5/waEHgR/WNO1vgR8iqSp730pvtFxSOFfRdeuqnlaIy0nToHMXZHpg5GGwc+w0jqEmnsW3B5nyDKI43rAdFC8UOp089/JP4tRPs++eDyw6Xxz5V4oj/0pp+6sYO/h2LMPmlYPwysFza7wI/uUU/MmTq3/f/3ns3O8/9Rj80i3wqsHl1y9F6SZ+uh8/3Y8WeTiNMczaKZRuE9lZ9LCJWz+N0nS87BB+qveKCbp07dzuiYcG8gRRjFJQavp4YUTDi/CjCF3TKKZtlFJomsa2juWDzmQjAlNaG4UQQgghhBBXhY0It85WZhWWOX/2+HLzspakaVqRJJxqAX+5juf6k7nrv3sd1wpx9bIzsOtOmDqCZpjkg+P402eIVJbTs0V65qq3DD2p7tnoAMPLDvHUv/sr0qXD7H7ww4vOd458nc6RrzO7/dWMH3o7Sj/3NeQY8H27k19hDFUfvjGS/PzCXEujrkF8kW7q330E9hbOVXAVHEiv4ZtOGQ7t/K6kbTGoYbcmMb0SSrMI7Tx60MStnSQ2bNq5XUkb4xUUAllG8sH78ufCq1gpml7EqdkG5VZAIWUyUW0teb1jGuRcE0PXeeFQByn7ygjxhBBCCCGEEGI5GxFuHZn7eWCZ8/vnfj67xvueHST/FxcZJH8xZ3ujrpzJ0EJsFU2D3kNQL9IRK5q4GOUxnMZxqtZulG7hRzFhpDB1jXzKIu9uxOT2c5qdh3jqNZ8nXT6yZMhVHPkaxZGvMbPjexnf/6OgL/w6MnUouvDGubbDt99w7lw9gG+NJj8rHvyv4wvv/TN3L3xt6/DqoWRIvbvab725XRVbdn4u6KpiN8exvBliwya0CxhBA6WZxFaadnaQ0CleUUHXWbqmkXVNbtxWoNIKCKN4yXVBpBgtJ6HXts4Uj5wqkU9Z2GYSmCkFvTlH2hqFEEIIIYQQV5SNGCi/FzgKDAN7z98xUdO0HDAGaECvUqqxhvs+DdzAMoPkV3H9u0mqt76ilHr9Wq8/7z4P3XrrrbfKQHlx1QpacOZBpkoVwuoYulejYhRp2UUUGn4YMVX32VFMo29iMJOZeYJdD//2sudnhl7HxP4fRRnrC07u+tLq1r1mCN73wnW9RSKOsLwSVivZ/jGy0kRWlsjKoQyH2LDxskMEbhdswgD/rVBu+oyWW6QdA/O8NlbH0immbQxd58aBPGiQsoz58EsIIYQQQgghVmsjB8pfcrgFoGnaV4HXAu9RSv3+ecc/QTLv6k+VUj993vFDAEqpw8vc7+XAN0kGyd90kfe9GXhGKRUscfxfgS7gLUqpv7qEzybhlrj6KQWlE1AZgVYJ6lMEQZugYy8nyhFjlRZeGNORssmnzE0NuQpj32bwyT9a9nx54E7GDr6D2Eqv6b5jDfijJ2B0LkKvB8mv5XzpDUmL4yWJIyxvFqs1BZpGbDiEdp7IzKJM91zQ5RSvmBldqxXFioYXcvbfEGEUz+/M2Jdz0Of+8DK2we7u7IKAK+ea8+2RQgghhBBCCLGUKzHc2gt8B+gF/gF4BngJ8CqSdsSXKqVmzluvAJRSS/6npaZpfwm8lQvCsiXW/TnwfcC3gNOAR7Jb4r8HDOC/Ae9Wl/AhJdwS1xS/CSMPJdVczWlolTijupmN0jSDiHorxItihjpTmzZ4HgClkpDrqT9edkmj4yCnX/CLRPZy4/xWVvHgm6PLD6jfnYdtGXj1YPL73rXlaQvFEaZfxp6r6Ip1m9ApEFl5lG6iDAsvM4if6lnUgnm1UEoxXmnjzbU1Nr2QnpwzP9AekhbIjGNy265OCbiEEEIIIYQQy7riwi0ATdOGgA+TBEtdJO2I/wv4DaVU6YK1y4ZbmqZ1AqOAArZdbN6Wpmn/AXgbcDNJsOYCMyQ7Jv43pdQXN+BzSbglri1xDLPHoXIGvCpUTtOMNM5o2/GUwXTdI4hitndcStKzSkqRnX6YnY9+fNklgV3gxIs/TJDquaS3enACfu3+ldf9yq3wiu2X9FbnBV1ToGJi0yEyc4R20rqIpuOn+/Ay25LXV6mGFzJd9+Yr/ZI5bjGDnWkyjsnu7gxdWVtCLiGEEEIIIcQiV2S4da2ScEtcs7w6jD5yrmXRb3LMy1Iiz0TVo7/g4ppb10rnVo6x9/7/eNE1x17yEdr5Pet+j4cm4UP3rbxOA146AO99AWQudc6+ijG9ClZ7Ci0OUbpFZGeIrDyRmQFNI3A68bKDxNbVv//FWLlFueXTnXVI2QZZxyLrmNw0uP4KPCGEEEIIIcS1R8KtLSThlrjmlU9B6SQ0Z4hqE5yarjNiDlLxNWxDp5CyyDhb10Zn10fYf88vX3TNyPPeTXng5ese2H6qBkfKcPcZmGydm9O1lNcMwd5lcplOB+7oA2u1GaBS6GEDuz2NHjSTHRmtLKGVJ7JzoOlEZgo/s+2qHkhfb4fMNDwafoihaRzsz5GyTTrTSVKoodGbdzB0DQ0wpbJLCCGEEEKI646EW1tIwi1xXfBqMPoohB6VydPMlmZoGjlKRjd1PyaOFTuKabRNHDR/Ias1yc6HP4rTHFt2zez2VzN+8C0ow72k92qH8J8egEen13d96rzsrxVCh5NUfd3We/Gh9VrkYbemMPwqcN7Oi3MD6QH8VC9+ZhuxeWmf8XJQSvHMWJWUbZC2zyWAGcckNZcIapqGqWu8eHdxS/9+CSGEEEIIIS4vCbe2kIRb4rqhFJRPQvk0UbNEZWaMSqVKLbOD8ZaBaWj05bY+YDH8KgPPfIbC5PIDs7z0ACdv/VWCVPclvVczgEem4Lc2+B/3798N6bkArD8Dr9y2RLXX2Z0X2zOg4nPti2aWyMomVV1WBi+zjdDuuGp2X4xjRbkVcPbfNXUvpOFHGJpGFMdYps5QZxrXMujO2gx0pIAkFEzbV+fgfSGEEEIIIcTKJNzaQhJuietO0IaxR8Gvo5qzDJ88SSs2GVZ9FDIpcq65uTspLkOLQ7pOfpm+o3990XXDt3yARtfNcIlVQN8ZSyq5lrvLPw5f0u1543mjw27rhRdeMC9fDxpY7WmMIOmZjKxMUtVlZVG6lQylT/Xip3uJreylPcxlopTi+HSDMIrJOCadaRt9rtTN0ME2DPb1ZrHNc3/fNA1yjilVXkIIIYQQQlzlJNzaQhJuieuSUlCfhOln8b0Wwyeew29UKVu9VLUcCiikkkHhZ+cmbVnYsIodFgFmB1/DxL43b2rw0w4hPu8rdLoN/3wS/uHE+u73xTeAscQfoxYHmO1ZLG8WlEIZDpGVIjKzxGYKpVvEho2f6iNI9ybh11WkHURMVNuEc3+YXhBhGhpdGQfXXlihZukatmmQcxdXdW2bq/o6SyP5e6pfrDdUCCGEEEIIcVlIuLWFJNwS1zWlYOYYtcmTlGaniMpniOKIWWcHDWXjBREAkYLtHSmsLR4MbjdG2Pnwf8ZuTy27JjJcTr3wl2kWb9jCJ4Mggvsm4FQ9eR3G8DfPrXzdD+2FN+2DvL3MAqUwgjqmV8II6qBpxIZLZGaI7AyxkQZNI7Tz+Om+q6qF8Xzlps9sw18QTLX8CF1jQSXXWd1ZZ9Ex09BJWQaupWMZOts6UnSmLan6EkIIIYQQ4gog4dYWknBLCMCrw+gjoBS1qZM0qyVqkUWYGyRCZ7ruUfdCBjtT6JqGvsXhgR626T32BbpO/fNF103veD2T+96MMpZLjjaXFyXtjrNe8vqJaXhgcvn1H30pPL9rhZvGIaZfwfJKaJEPuk5kJEFXZKSTz6rphE4HfqqX0Om85JbNy8kPY8I4XnCs3AyI4oX/LmsFEUopDEPH1KEjbZO2DGzToL/g4lo6eXdrdwIVQgghhBBCnCPh1haScEuI89QnYeoI+DWoT4FfZyrKMRIVGK/5QDJAvCNtU0hdhtY4pcjMPsmuh3/7ostCK8vwbR/Cyw5u0YMt79Ep+H/uvfiaz74aetOru58WeVjtWUy/nLQw6haxmUpmdplplJFUOAVuF366b35Y/bUojGIipZip+5RbAYYGWdciZemARjFjo2tJa+lQMWlp7EzbEngJIYQQQgixBSTc2kISbglxgShIAq5WCVplaE5xZnKWdor2m7YAACAASURBVHYQz8jR8AKm6j6daZuca255FddZhldh6PHfI1M+ctF1Mzu+l8k9b7ysQ9lP1uC+cfjvR5IWz6Xc2JkMWT/YCW87mPx+NfSwiemVMb0yaBpKM4isLLGZJrIyKM0ETSNwuwhSPYR24aqu7LqYdhBRaiYhbKnho2mgaxrFbFLJZ+k6HWkL0LhtV+eWt9kKIYQQQghxPZFwawtJuCXEMoI2jD0GfiMJuhpTRFHEs2Eflcik2goJopi0bWAZOp3py9MKiIopnv7fDBz5ixWXnn7+z1Pt/67LGu40AvjQfXC4dPF1+wvQiuA374Du1MXXzlMxRthM5nX5teSQ4RCZqSTsMtPzLZtJG2PPVTuzazXiWFHzQrwgIlYw20j6RQc7U+RTNr35c3O8lIK8a9KddWRAvRBCCCGEEBtAwq0tJOGWECtozsLEUxCHUJ8kqE0x0tBopgepB8n3y2wzwNA0urMOlqFdtoHedmOMbc/8GZnSMxdd1yzs4/TN7yV0Vxp4tXmiGL7/n1a39tYe+J5BMHW4pQeyq+0IPTuc3q9g+NX5yq6zVV2RmUl2XtQ0QrtAkOomdDquut0Y12K67jFZa9NxQRhr6RqFtIVtGHTNVXopBVnXpJCycE0dUyq9hBBCCCGEWDUJt7aQhFtCrFJ1DGaOQtCC2hh+u4Fn5jkVFGgFMeVmQIwiiBT9BRcAQ9MuT+uXislNPcKOxz6+4tLpHa9nas8PElurHHq1wUbqMNNOfv7BE6u75mdugqEs3Ny1xiI0FaOHbUyvhOlXAYXSzWRml5kmNlPEhguaTmy4BG6RINUzd+zaqWZq+RHtMJp/rRRMVNsopcifN0vO1DUKcyFYytK5cVuBvGvKboxCCCGEEEKsgoRbW0jCLSHWII6SgKs+Ce0K1CeJ/BZn/DR1q5tIwXTdJ5773gnjmCiGvGuRtpPWN0Pf2sBLDxoMHP4sHePfWXHt6A0/QWn7Ky/bAPZmCGfqEETwKys/LgAFGyo+vPUgfO9O6HBWvmaeUuhRC9OrYAQ1tDic243RJTZSxFbSyohmoDSd0C0SuN2EVu6abGX0w5hWkIReSimmah66ruEFEds7U6TmdmM82J+jmLlMbbhCCCGEEEJcJSTc2kISbgmxDkEbJp+am8dVgeYUBC3GVSctsxM0jaYfEcQxXhBRa4fzlyY73EFX1iZtGxhbGCSlS8+w/ck/wm7PXHRdrFucef7PUeu9/bJWLD02DV8eTtoR7x5Z3TW78/DxO8FZZ/akxQGGX8X0K+hhG4DYdOaqutJEZmqulVEnMlOETpHA7SI2U9dUddf5ZuoeEzUPQ4NCyqK/4OJaxporuIIoZkcxjaaBqet0pi2pAhNCCCGEENcsCbe2kIRbQlyCoAVjj4PfBK8CjRmI2lDYgUoVaPgRkxVvPvNo+hFBFNPwQtphRDuIcUwDpRQdc/+h75j65u/AqGLy4/cy9OQfrLjUS/Vx+gXvw8sOXdbwZqadBF3jzdUHXcu5vRd+7mboWc2gehVjBDVMv4rh15lvZTScuequFLGZSnZlBAKnk9AtEtqF+eH114qGF3JypoFtrS857EhZmEbydyg9VwWmabCzK2mJNTSNrqyDIQPthRBCCCHENUDCrS0k4ZYQG6BdhfEnIPKhVYbaOBBDxy5w8/PLFIpSM6DcCGgFIV4YA1BrBURAHCm8KMY+r22xkE5mIOmahmvqG17poodteo99ga5T/7zi2lZuN2M3vJNWYd+GPsNaKQVVHyIF3xqFzzwN4Tq+6t/9fHjFtnOvM1ZSJbYSLfLnwq4qepRUd53bldElMlJJsKUZKN0kdDqS0Osa2JkxVoogitd8XcOLaPkRaFBpBRhakpUWMw5nsyzXMkjb5ny4FcWKYsZmV3ca29j4v/tCCCGEEEJsJgm3tpCEW0JsoFYJxp9Mfl8bS3ZaVBF07AQnv6DyKYwVfhhRaYX4UUw7iPDDiODcnG9qLZ+zMUIQJaFCMWOTdzdnNz+zXWLg8GfJTz244tpWbhdjh95Bq+PApjzLWk004V1fu/T73DkAH3gRrKl4SMUYQQMjqGIEdbQ4Al0n1m1iM5nfFRkplJlsNBAbzlzgVSSysld94LUeYRxTb4fzM76afoQXRguqFtO2QWfaJueac0c0tnUkf4YZJ9nFcSWGpqFLJZgQQgghhLgMJNzaQhJuCbEJmrMw8RREIbSmk2quyIfCDnALy7b3+VFMFCffWZVmgD9XIVNrh0RxMux7uu6zo5je9NZFtzZM/+G/IFM+suLadnaIkee9m3Zu92WfO3Wxr/yjFfjFb63uPq/cDrGC798NNxTX8SBxiBE2MP0aRlBLHkzTkuouI9mVMTbd+fldseEQ2gVCp4PQLlyXgVesFMz97xfGislam2orAM5WeSVtnrqmrXqgva5pFNIW7lwrZSFlkXNNHPP6+/MVQgghhBBbS8KtLSThlhCbqD4FU4ch8pKAq1VOfl8YArdjTUFQK4g4PlVnourRCiLMuWoUBdiGTtY1Sa9jyPdq2I1Rhh7/FG791Ipr/VQvIzf+JM3i8zb8OTaCUvB3x+Azz0B+rvCnGlz8mpu6IDu3tmDDG/fCYHbt7312WL0R1DGCRnJQN4gMB2W4xIZLZLjnKrx0az7siuz8NTfDay3qXogXRChgstrG0FfuH43imIxjYs31mlqGRiFlYWgahq5TzNgUM8nGDml7c/7ZEUIIIYQQ1y8Jt7aQhFtCbDKloDEFU0fOzeRqzc5Vcq0t5Do126TcPNeqCMnuiw0vwgtjgiimM22vql1rvZ8lXT7CwDOfxm2sPNU91gzGDr2L8vZXwBbuCrkej0/Dr96z+vWfeTX0pS/9fbXIn2tprM0FXucqvJThnAu85mZ4oWmEVp7QKRA6ncSGe9mr5a5UZ1sfYwVKKSZrHkopLFMnbRk4lkHWMdF1sA2DnGsyUHAxjYV/V1OWgb2aYWxCCCGEEEKcR8KtLSThlhBbRKmkXXHyaYgjaM8NnlcR5LdDumtVt/HPG+atFEw3PMqNgFjFNP2IUjPA1HUGCu5mfZJ5qfKzDBz5HKnq8VWtn9r1fUzv/gFicwNSoU0QKXh0Cio+fPyRldfvysGPHICXDaxxRtcKtDicC7vmKrxUDJpGrNso0yU6u1Oj6QJ6EoZZaSIrn1R6Wbnrsq1xNZRSNPwIL4iYafhEsULXIGUbZB0Lx1ocYmVsg4xjrroV2DZ1+gsuOceUajAhhBBCiOuYhFtbSMItIS6DVjnZXRGgMQ3N6aSSK90D2d51BRNJ22KDIIoZKbcAKKZtTEMjbZsrXH3prOYE2w5/huzME6taX+25jcl9P4yXHdrkJ1u/kzU4U597oeC3lvmavKETfvfOTX6YOMIIm0ngFTbQIj95LN0iNpy5Xy6x4cxVeekoTSeycoROntDuTMKwK7yC7nJoBxG1dkCtHS4aPt/0QlKWAavMqAxdozNt41g6tmGQshf+sxzFih3FNB1pC8uQ/y2EEEIIIa5lEm5tIQm3hLiMvFoScsVREng1pyBogZ2DwiAYa2svVCieHq0Rq5jK3CDuejskmvsaTFkGHWkbZ5NbrAy/Qv+zn6dj7NurWh9aecYPvIXKwMuu6PAljOEH/mn584OZZAZa2YN33ACOAQOZJPzalAIepdCjNkZQRw+bGGFzfnB9bNgo41yVlzJslGbOn4usHKGdJ7Lz0tp4EXGsaIfRygvnTNd96u0A09DQl5gL1pWxsQ2djGNimzphFLOzK3PRe6Ysg0J6k1qNhRBCCCHEppFwawtJuCXEFSBoJe2KfgP8OjRmwKuCbkHnLrBSq76VQlFphbT9pO1KKYUCvDCi5UdU2yE51yRjm/M7yG0mPWxSPPUv9B37wqqvmd3+Kib3vpnIKWzik63f6Rr85RH4t7HVX/P3d8ESHW+bIw7nqrwaF1R5mXOhl32uyku3kx0bgdhwCe0ckZ0ntPMow9miB772+GGc7P54nlo7pO6FtINwfiB+V8ZesXWxkDIxdJ2sY3KwP4dlLFwvrY9CCCGEEFcmCbe2kIRbQlxBogBmjkFjEkI/aVlszSTnOnaBm1/7LZUiihXlZsBUzaPuBQSRmq/s2lZIYRrL/8fxaucMrUockp15jG3PfBbLm13VJX6qh4l9P0q19/Yrbo7UN0bgPz+8+vUpE95yIPn9QAZu74Wt7EzTIh8jbKAHSZWXFid/B5LQy5kbYO/MBWBOUukFxIZDZGWS0MvKS3vjJYpjRaTUXNB18aqwUsNH1zUcU6cn65B1L2wx1rBNjZ7syjP2FIpCyiLrbH6bsqFrEroJIYQQ4ron4dYWknBLiCtQHEN1BErDyTDx+kQyjF5FkO2HTPe6wgU/iudDLoDZhketHS67/uy354W7L1pzc7wuNfhy6mfo/f/Ze/MYSdLzTu/54s6rzu7q7jl6Ls4Mh9eIpHisSB0kZYlaeSlZgtYCvFjBC61sYIGVF/7HBgzDEgRDCxg2IMGAd2FDlmVLuwt5ZQor7eqgKFKiDorkkOI9nKN7evqsO684v+/zH19kZmRVVtfRWVlHfw+QyMzIiMioKyvjyd/7vq/8a+ZWD/760155H/ee/gnS5tVTUUqXS7jTN7czBX/wBsQFpPJgya6ffMZIrwGPNOB7Lu+WXtNsWD+G1giVlimvPk4RI1QBQqCFOznpNShvdHyU36DwW8ighfSbVnodA4VS3NlOaJdCukrgu8wdUFY5jmBxRuWNriO42IoQAi40womN+gf4roN7bL/gFovFYrFYLCeHlVszxMoti+UUozX01+HeN83tZNOkuYoE/Ibpy+UdrXSskxS8sdHf0w9pDUorOsnuZEk7zlDanCw3Q49m6DFoLyQQR5JeTpGwcOszXPrOb+Ko3SfxE48RwerTP8nG4z+IDA6fajtu1mL4mT+ezr4cYURYleUIvu8RaPgw9TZqWiNUPixtdIq+kV4AjotyglHKq7ytnWAoHM30RiO8bInj8aC1SWAWav/3OVrDaifZ1TD/OFBKM1/3cYQg8l0a4f0Tl4HrsNgIcI8oqwPP4UJz9++X5wpC73SlPS0Wi8VisTxcWLk1Q6zcsljOCGnXSK4iMX25+uuQdAAF81chmp96kqmdFKQ7mmmvdlK0Nj2FkkIS55KsUlqlMYLrykI0HDAnxCGFl9YE/Vtcfvk3aa29dODNsmiZ1ad/gu0rHx72kToN3OrBp25AIiFX8HvXpv8ciyH8p8/Cjz55jCmvEiEzHBnj5n0cmeAUCWAa2WsnKMVXUJY5+mMljtpxkV4D6TfNJWidqp+V5cHJCkU3LcilYqOX4d3nFzKXimbkHVlsASxPEFtgEqah79KKPLQ2jfmXmsH4Oo6za6KlxWKxWCwWy7SwcmuGWLllsZwxZGHKFTu3QWYQb5qLzKC2DK1L4BxvTx2lNdtJTjsu6KXF8MS0UJpcKVbbKVKr0SErmIt8lhrBXrvc5wklC7f/jJVX/jV+tn3gzZLmVVaf/nE6F78bfczfk8NQKPjsTbjZGy3LFPzbV83t6mn+Uf6Dfc9lk+b60BV4bgHmZxWa0qqc2hjjFDGOTCppLwflhKbEcZD6ckzJ46CUUbkByquX4ssIMCu+zjeFVPSyg0+j3MlaN524PM0lke8O+wm6jmCxvvv1J/QcFuoBjy4cfGjHQXAcwVzk2b5jFovFYrE85Fi5NUOs3LJYzjC9NZPmQkO8Df01yBNwPZh7DMLmTA9Ho7m23ifL1dDQFFLTzwo2+xmh67LY8IeT4o6Kl6yz/MZ/4ML13zvUdr2F51h78hN0l9917AJwWmyn8Nlbpo/XgELB//Oy+RYf9D/c9z1i1v2RJ+Bdy7NvVyZUvkt8Uf5/Hk5xHCS+yvTXRPHlNUrx1bCljpY9UVrTzySD94CrnXSXaIqzgmbksTRBej0oge8QuC5vWWkSeM6uvoUWi8VisVgeDqzcmiFWblks54CsB2vfgbQDWR+SLUjbJs1VXzZN6E9o0mAmFd+526Wd5HSSHKU0GlioB7TCKSQbtCbqvM7F137nUI3pAeLWU6w9+aO0V95/ZmTXTlZj+P1r8G9eOdx2n/zRY+jTdUSETMek157iywnQjo9yA3D9UamjcMrEVx3pmdSXcqNTN13TcrpQSnNjsz/1dFU3yQl8l4tlCWQj8PBcB88VLNR85g4huhwhWG4EM+mVZrFYLBaLZfpYuTVDrNyyWM4RSsL2m7D1hilfzDqmZDHrgnBh/nEIWzOP7fSzgje3YvJCkxaKNJe005xCauZrPgs1f3onmFrT2Pg6F659kubG1w+1adJ8nPWrP0J75f0ovz6d45kRWsO3NuGNDnzqTbjege4+fflfvDC6nRTwHz8FH3n0VAyhNAwmORZJKb7SUnwpc5BClMJrkPTyhyJMC7eS+gpRXm089VVpfm+xTJs72wmFUrTjvCyNFNQDl8YBJ1sOqPkuke/y1sstFo9a1m2xWCwWi+XEsHJrhli5ZbGcU9IOrL9qElxFBvGGEV2qgGjR9OZyZ3uypLSmkxS8uRmjtCLOJFtxTi41l+cjAFwh8N3pRYqEymmsf42Lr3+S+vbLh9q28BpsXP1hNh/9CEW0PLVjmhWphC/dg1TB77wKrxywXdlbF811N4f/6HF4yzy8fRn8U5L0Aoz40oWRXhXxNezxJQRa+KahveNX0l++SX3hlus4pfyqI706yjfXVn5ZpkUuFVJpNnvZobZrJwVKKy60Qi42zevji4/PDydAOgLb08tisVgsllOOlVszxMoti+WcoxR078J6WbcWbxnJlfdBS5h7FGqLw5TLrIhzyWurPZRWrHczCmVeqwulCD2XuZqPgyCYdu2cVrRWX2L5+r+jsfXtQ2++deXDrD/+wyStJ85cKWMng5/+g6Nv/yvfB8/MT+94jhWtjPAqEhw5KHfMTOoLTIN7YcSXdn2U448lwMDZIb9qpQCrobwGyg2t/LIcO1v9jFtbMa4juDwf0YpGJY2OMJMi5yKflVZoSxctFovFYjmFWLk1Q6zcslgeIvLYSK54C4oUkm3Tn6tITIqr9cjMyxbvtlN6aYEQ0M8k3TSnk5j0jdSaQmoeW6zhPWAT+j1RBfXtV1i+/vvMrX7h0JsnzatsPPYx2pf/DtKfbQP/oyA1fHvTpLoGfPpNU8p4UH7tY7Bytqo2d6OKUngNBFiKI1OGLfonyS9hbmvHH5viqNwI5YUot2bSX14N6dXOnPy0nF7Wuyl32wlO+dqstKYV+fiuYLkZ4LsOS42Q0HNYmRsNWqj5rk13WSwWi8Vygli5NUOs3LJYHkK0NpMW118BlRvpFVea0Idz0LoMXjTTw0oLxa2tGDCiK1eK7X5ONy2GpTiuAxeb4fGdsGlN1L3O0ht/yOKtPz3SLraufJiNxz5GMvcM+owIDq3hWmc0lfEzN+FmF15am7z+0iEHFRYKJPAPnzf3X1g63SkwoQqEHEkvR2ajfl9gUl1OgHK8oezSziABZpYN0pCm4X2tlGA1pBuhvDrKi2aemLScD3Kp6CQF99rJUHQ5Diw1QgYBLgEEnstzl5oTE7C+6xD5duiCxWKxWCzHiZVbM8TKLYvlIUdJaN+CzWvmxD3rmf5cSRvQ0FgxExfd2Y+yv9dJWe2kpIUc5GlY76bkUhO4DqFvTs4cIYg859iEl5duMn/7z1l8808I47uH3j6LLrD1yPexfeXDZPXLx3CEx8fNLvzWy/Dpm8ez//kAfvIZc/vpefiuC2ek2k+rUfJLpgiZ4agMISt9lRy3kvjyxm7vbHo/FGClBJOlCLNTHy37kUtFLy3Y6GUobf5+lNIUSnFprkZtj2Z5gecQeC71wKUZeizUD/YaH3gO9eBsSHuLxWKxWE4aK7dmiJVbFotlSB7D5nXorRrplWyZ0sU8Nv25mpeN6JrhybZUmqQwNXTX1vrkUqE0FFLSy8zyXGpyqfBdwUormmpD+omogub6V1i68ce01r9ypF3EradK4fWhM1HOmCv48d+bzXO5whQHKg0/+zb4kSfAd83yM4PWCJWP5JdKcWSOUNmOpvdumfryyuSXNxJgwiwfpruEqIivaJgEU26EnvFwCMvpZzvOWeumw1LGKnFWEPourmPSXXPRwWVVzXcJPJfoABMmpNIsNYJDT4kE8B2HuZpnyyotFovFcqaxcmuGWLllsVgmkmybaYtZz/TnSjtGduV9QJiyxdrSTEWX0pq0UEitWe9mCKBTThSTypzMddOCmu/SCCcfl0BQC9yJJ3wPgh+vmXTXrT8liO8daR+9hbeydeV76ay8FxnMTfX4pkUvh0Tuv16V7RT+5E3IFNzowN+uH+25ay783SfN1MbvfQQu1O6/vgAasw8cHhytKgIs21OAIZxSegVo10WJABwjxZTwwPXQYiQPtOMZCebV0G6IcsPh7WqvMMvDi9aaOJcoBavdlIP2ou+lBYHnHPj1MwpcGsHR/kfUApfAdQlnOKZVa0098FhujGSx6wiWGoGVbBaLxWI5ElZuzRArtywWy33RGvrrpmwx74PMy/5cZaLL8aB1BaL5E+sflEnFVj9ntZOS5KYp/V4USpPkCt91uDIfTV1yDVGS+tbLLN78ExbufO7Iu+ktPM/2lQ/TXnk/MmhN8QBPDqlNueNnbhrhtVXKr+Pih64aIRa58NHH4NGGSYKdCQYJMJUhhhKsvK9y8/cJZQrMQ7k+iLIE0nErKTCvTIGNvnDl+MME2ECCmYtNglkmo8sPGA5CITWb/Wz/FSfQSXJcR8x8AmToOcxF4wK4Hpikmr8jOppLzcVWcKgSzZrvstiwf1sWi8XyMGHl1gyxcstisRyYgejaeM2kufLYSK64bEQvBomuxRMRXUprbm8nDCfe7SDNNb2sQGrNajslk4qlemAiPoAjoB54xya8nCKmsf5VFm99htbaS0feT9K8yvblD9Je+QBZ48oUj/Dk0NpIr8HtP78N/9NL4AAHO5U+HI834cULRnxdrp/yhNd+aA3oXb2/HLUjBQalBPNRrgdl8ks77kiICXdCEsw1JZBOMJJgXoRyzG3bE8xyHORSMcu38EprNnvZ2H+PrTjHEcN/EWM0Qo/aIS35Qt3HdZyxvoJaw2OL+8RQMZJtuXnISR4Wi8ViOXGs3JohVm5ZLJYjoSR075oeXaooRVfbNKIvYkBAcwXqF07Vya9Umjc2+nTTgnaSI9Xof0QuFUluhNdcbTa2wyli5u7+NQu3Pktj61tH3k8eLtJeeT/tSx8gnnv6XCVvNhL43G1IJfzu67CeQGOfsESvuP/jOxGY3l4ff2L8RDZ04ZHGGWlyvx9ag5al/Bqkv0oJJvNSgo0nwbRTpr5cd9gDzPQJK6dEVpriA6iy9NEkwCoyrJRjp+m1wGI5CFJp9I4PTAqp2Y73TghPYr2bTrRkFw8orJYaAa5jEsdVhICVVoRbSbl5J5B6s1gsFstkrNyaIVZuWSyWB0YpI7q2rpsEl8yM5ErbpmcXnOjUxUl004LtJB+eaySZop8V9DMzdUxqhn1oHl+sz7Tfipt1aK69xMKdz9Fc/+oD7au79A7alz5A58K7KcLFc2Jp9kdp+NIq3Cl//X7tm4fvFVblfSsHWy9T8JFH4cOPQO0sD5TTyoivQRlkeS1UgaMyM1l1gOOaksgyAaYdz/QCc9zK7TINVvn9U46PdoMyERag3MCkwbzITJN0/Ifm99XycLDznKSXSeJsfxO/2kkRAhbruz+0mJQgcx3BfN3nynzt0OmyWRN4zpiYs1gslvOGlVszxMoti8UyVcZ6dMWmR1eybUTXYOpibdEkuvz9SzFmSVooXrnXRZVlXgB3tk35YvWtdy1wWWlFE/dxXAiZ0Vr7EvO3P8fc6oO9XufhEp2L76a98j7i+WdR3un6ORwnt3vw5VX4P75hUllbR2sJdCCu1Meb3qcSnluATzwFj57+AZkHRqjClD8O02DF5L5gAI5jyiIdF4Q76gtWCrLqfXCGcksLp5wq6RsJ5oZoJxj2CdNusEueWSzniX5WEGdyxzJJNy3G5FAhFc3IoxF4tA4xBfOkCDyHhXowFcGltOZCMySqCL3Ic/COe4KyxWKx3Acrt2aIlVsWi+XYUAriTdi6BlnZjD7rlomuPqgc/Do0LkI4d2pOTAelije3YjpJPnZuXijNza2Y0HO5PBee6AQtITOizuvM3/krWqtfIEiOOIawJGk+TufCu+lcfA/J3NOmAfk5p53Bp9+E334F5ndUB73ePt7nvtqEtyzAh+7TNs1z4F3LcMSBc6cPVZS9wPIdibAcR+XjiTAhyhJII74oSyJV2Rh/WCI57Bs2/k0aJsOGIiyo9A0bJMPsSa/lfFFIxVacs9ZN8U55IiorjIibVp/Lmu9SD71dyx5brO0aFDAg9J0xGWaxWCzTxsqtGWLllsVimRnxFrRvQn+j0qerY2SXzMDxjeiqLZ6a3jyq8j9Ea/jWnQ65UtzZjpEKXCG40ApPT+mH1vjxPeZWv0jr3udpbL38wLuM556mc+G7jPRqPfnQCAGt4Zub0D1ga50/vmF6gx0HcwH8Vy/CBy4fz/5PJVrtSoENJJhZXhxMhg1KJAeP4Q5LKatCXTuDKZMB2vWNCCuTYgM5ZoWYxTI9CqnoZw9QL17BTE3OxkRZkksWG8GeYgtMEjvyXYId6S6lNa3IY2FCKeh+NEOPwLOvExaLxWDl1gyxcstisZwIeWJEV/tWeb8/El1FZsoXo0VoLJt01ylBo3n5bpdCanKp6KUFW3HOowu1sbKK45q4eFSETKltv8rcvb+htfpFgmTtgfcZt56ke+FFussvkrSeRHmzLdU8rawn8GZ3fNkrW/Dpm9NJg12q/Dmsx/CfPANXGvtvtxDAe1dMGuxcMpRhGU4pxQZ9woQuyms5sUxSC2fUKL+UYAh3hywrxVhViAmn7A/mTeghVjbXd3x4CFKQFstp6wdgNwAAIABJREFUIysUb2729yx57KUFoe8y6SUx8J37SrG9EAKaoU/tAHHbXCquLtURwiTMWkd4PovFcvqxcmuGWLllsVhOHFmYhvTtm1CkJsWV9YzsyvvmvhuahvSnJNWl0Wz1c25tJax2EpJ89Omz0uC7DqFv3jK3Qv/UforrZm0aG1+ntfpFWmtfxi36D7zPLFqmt/QOuhdepLf4AtI/PSWnJ02h4LU2vLoFf377/uWGn797PMewcMyDNBMJdQ9+6i3weAtevDAaznCq0Bqh5TAdJlReSrAcoeSepZIIgWbQH8zZnRDDGUqyQWJsZ9pLO65Jgw1TYv6op1iZGNOub/uIWSzHiNaaJFe7pmFqDWvd9NAfUimt6WUFgXew9ygLNR/PNc8xF/nDKZePLU63D6YrBEuNwPYes1hOCCu3ZoiVWxaL5dQRb5pEV3/DnFjmMWQdSDpQxGad2qKRXSec6troZdzeToafDEulSQpJVpgT4kIq2knBUiOgGU6vt8ixojVeukFz/au0Vr9Ec/2rOCp94N0q4dFffIHe0tvpXngXSePxUyEqTzPrCfz6N+FTb570kTwYtT1+zKkyMvhn3nq0/dY9+N5HdvdLOza0Bi0RujDpMJkj9KhMcs+EWFkyiXBNM30GiTB3JMGGUmwgzByqTfWBSuN9b5gK08PE2ECQBaYvmU2LWSwzRylNrtS+6/VSaQYECNjuZ7iOQAjBheb0P32IfJd64O1KsEmleWyxNubPHSG42Ar37dd2kv1GLZazhpVbM8TKLYvFcqopslGqS+aVpvQdk+5SuTmJqy9DbQnck431S61px6YJfS41a92UdpKzHedIpakHrhFcGhrR7hHupx0326a5/lWa639Lc+1v8fLpdF3Pogv0lt5Gb/Ft9BffRh4t2d5GFaSGeztCdX92C2724CCnGH9041gO69Sw83sweOf3E89A4EDTh+9/1FxXt5nZn9+gZHIgv3aIsOEyVVSOnjIp5qCHMswZTZmkWj7p7OgnNiEttrOE0vFLSeZVUmOj5fbvz2KZHYVUbMc5mdxfjB2GfiZJCznxg7WFmo/rji+v+x6NcP8XRt91eMej8w885dIrpZ7Fcp6xcmuGWLllsVjODFpDslVJdWmT5Eq7RnhlfUCZNFd92UxgPOFkUCYVr9zrorUZ5T5oUJ9LRTcpQAiiSsmiBhqBh7+jfMBzxalOfbl5l9rWy7TWvkJj42uE/el1Vk/rV+gtvpXe4tuJF56z4uuIdDIojvkt0UYCf3oTttOzkzb7lx+B1pTDEk1/SqWYWiF2ibF8XIrpopRnkoliTHhlT7GBGHN2iLHBxTxO+fjOcsg9U2NDSTZY5pXllI4tqbRYTgFKa3ZUXpIU0rwHqdDPJf20uP/frdYEnsPluehAfcX2w3UcLrZCHAFX5mtTf8nwHGHLMS0njpVbM8TKLYvFcmaRBfTXjOzKekZ2DVNdXZP6QhnJVV+GoHliJ1uZVPQy80aykJp77ZS0UBRS7lhPT5welUtFfccbSSPCXALXxXdP6aefqiDqvEFz42s0Nr5KY/NbpmRrSqT1K/QXnqW/+AL9+efI6pftCfUpQWuI7/Oj7mZGhPWKvde5H//2VVPSeFr5b94LLyzCcnRCv5JaVQSYrEyYlKUokxVptkOMwWj65KDBPk6ZChvIMWcoxyjl2ej2XsmxQcN+f3RdCrFdabKyh5nFYjk9aK25vZ2YyZQPaPCV0szXfRwhaEXHM2HSdxyaU07Ja8xEzPna4SoFBoMDTuV7NcuxYuXWDLFyy2KxnBvyBDq3oHMHlCwb0/fLVFcPZNk3KpwvZVf9xBJASmu6qaT6PyqXivVutqtMIM0VvTTftY+8FGG63Lbmu8zXfaIDNrM9aUza6zs0Nr5GY/Mb1DrXp7r/PFwknn8L/fnn6C8+T9p4zE50PGdMkltSwV/eMSWbAP/3t821X/lTz6db+bMvg5LIH74KB6j4GXKpPn7cM0PrkRwbJsbkjp5iytzXyggztcNkVvqM6eHtcQE2TJON3XcOKMi8MonmVRJlFUkmPKqTLi0Wy+kiLSS9VNJJctJCHajE/jDkUlELXIIpJ7dcR7BQP3zc13EgcF0W6veXYkprrszXhsMGjkLgOkRnrO3FecbKrRli5ZbFYjmXaA3JtunX1b0H6LJfV6+8dI38QkBt4VQ0p9+LTCrTeLaCVJrVbgoaMilJc0WcS3pZgVTm00FXCJo1j8B1TnVJ4yS8ZJ365rdpbH6dxta3CXu3pv4c/blniBeepT//LPH8W8jDRduE+yGhUPCPPgVJMd1Jjp3dDvqB+ZEn4Ofefv/JmqeSYXJMgt7RW0zL4QU1uK3GJ1PCjp5jpSAbS5A5ZXmlab4/6j1WllhWpNrO/Zrplt4wmVaVYeZ6R0+ySvN/i8Vy+pFK00uLnZnUB0Jrzb1OeuheY7k08u4gpZzN0Cd6wE81Qs8h9F1qvotUmivz0a52F4Hn0Ajte55ZYOXWDLFyy2KxPBQMZFfnNvTWzLIiHaW68n4puzDJrtoihK0zUeKWFJJ2XLDaScmloignNW31zZl2Wigi30VrCFzBfN3Hc85oDwqt8ZM1k/ja/Ab1rZeJetNv7iTdiHjuaeL5txDPP0s89yRFsGBPbC378j9+Ab66Bu0pi65f/AC8d2W6+zz1lD3HGJRRlrJskCijcnsgx3ZNqoSKJHNMz7GBJNtVTilMGmwo0MSwST9ClNJs92vnKD1W6WE2lixzxyWZ4w9TaLZ/oMXycJDkknyfgQFxJummxQOVLsZZQei7ww9umpFHbUKivxa4eK5D6Dk0Q2+YRmtFnk19TRkrt2aIlVsWi+WhRCmIN0yyq79hlsm0LGPsmWuZmOXhnJFdQfNUyw2NppdJ0LDWzVBKE+cFSWHeTEmp6KaSJJeszEVnblLjvmhlSh23X6W+9S3qWy9T234FZ4o9vgZIr0bceopk/hkjwVpPkkfLNvllGaI1fG0dbnTh//wWzAcHm2wJo5LKSbx9ySTPFkP4qWfh+YUz4eBPlqEkq8oxWfYfk6OSSy1Bqcrjmkm9yIairEyKgaiUUopKT7JKokxUBNn9ZFm111l1OqaopMqqpZjlMgaDA6wws1gearTWxLl535PkinaS70rvd5Mc3zOp/tBzaEXmvYsA5moB4YnUw8+GvFBcno+mIvCEgOVGuG+Sz8qtGWLllsVisTCaxNi9VyljlJVkV2/UoN6vQ7QA0Ty4h2soOmtyqUmlEV6rnZR+JtmKM7b6+a4+FJ4rWGoEZzfVtQ9CJoT9O9S2vkN9+zvUtr5DGN89lufSwiVpPUHcepKklF9p81G0E1gTYTkQf3YLfvmAb82+ewX+3lPw4jKcN2d96qiKsmHZpRortTSN+6uSTE0uu4RdsmyQJjPll84oPVZJloGolF8eQJhBRbC5o/Tazp5lg+malfLM6kRNOwHTYjkfaK1JC4XSmo1eNlzejo30Os80w+kl0yLPoRaY4QLzZS+1ZuANbw+wcmuGWLllsVgsE1AK0rYRXb1Vc1IiCyhiI7zy2Fy0BMeHqEx3ebVT/ea/nxW8vtYjLcb/Nyqt6CQF/UwOpZfGCK9mYKYY7ezXcN5w8y5h5w0jvrZfodZ+HT/dOLbny8MlktZVktaTpfx6nKx+yaYuLEM2EviVr8Df3Dv4No81AAHtDP7hW03PLssppiK+xhJlSlXSZcWOdVRlu73SZWLYe8w09C+FmahItLJMc5g8Gwo1s+wg0gwq4szxUGVyrCrEjCgrr8v1qpM4R+LMvvZZLCeJ0ppCnl93kklFO86nMrygl0lyKakH3ljvsuVGQOi7vPjYPF75vtnKrRli5ZbFYrEckLQL/TXTsyuPjfDKE9Ova9C3SxWANqWM0bzp23XKStWk0mQ7+j6sdlI6STHWD6JQil5SANDNJBeaAfXAO3PN6aeFm20Tdd6gtv0qtfZrRJ1rBMnasT5nWrtE2rpK0nycpPUkafMxstqKPQl8yEgKeGXb3L7Thz98A75+CO96sTZ+X2noZPCP3w6X6/BdF6fbWN9ywlTk11jKTFdSZoPEGWoPwTbh/Kl87R/0LNOOYFB2OUyasTOJtkOcVdNm5eMj8bb7l3AszVaZrDkUaHukzIbrDBNp7nDIgMVisUyDQio2etnw44X1bgoCnlpu8L6nlmhFJsF1KuWWEOIx4BeBjwPLwG3g/wN+QWu9eYDtfwD49AGe6qrW+saObd8G/A/ADwBzwHXgXwG/rLWOD/xFTD4uK7csFovlKBQZ9Nehdw+SdrksLVNd/VEp4yDdFc6ZyYx+7VTKCan1UG5pXf6TBrbjgo1eSloo0kKx1AiYi053OebM0Rqn6BP2blJrv0at/TpR5xpR98b+2z4gWbRM2nhsKMGMALuE8mr7b2w5s2gNf30X/v11+MIhkl17MXeAP+lCQ7+An33bwfb51By8eMH6hHOD1hUhVkmXoRBKmethskyWcq3sY8Y+aTOYkDgbiDQj0YYirFzHCCtGpZpjsqySPKOynz1+GavpM11Ntw1FWjV5NuqJpoU3JtqGIs+WcFosDyWvrXa5Mh8dm9yaysflQohngL8AVoBPAt8C3g/8PPBxIcSHtNbr++zmGvALezz2TuAngK9NEFsfAP4E8IHfBm4AHwX+e+BjQoiPaa3To3xdFovFYnkAvADmrpgLjPp29daM9JL5eLor78H2DbMcDX7DJLuiOfCiE/1SAFwhcCsTdR5brAMwXysIfYc4k8RZwWo3Y7ufH7w7dolUmqW66artCM5XCkwIlN8gXniOeOG5yetoRdC/S9i9USa/rhN1ruNnWw/01EGyTpCs01r/yp7rSDckqz9C2ny0FGCPk9avkEcXTvWQBMveCAEfvGwuYEoYu+WExt+7Bv/u2uH2d5jpjv/7Nw637/CQLl8DmYK//xYIZ/jrebkBH7oM1ZYz5+UlaioMp0m6gI+e5s9mILwGAqwUZrtE2kCaUeCofDx1xih9NjF5NvwaSvHFoI9ZeT0UaEaama9zJM0YSLNJEm3Hsvt9gFUVZ4Pk2eh5R3JMi8FgggmJtIFMY7Sd/WW1WE6eB5l0eaD9TyO5JYT4A+CHgH+qtf7VyvL/GfhnwL/QWv+XD7D/3wJ+Gvh5rfWvVJa7wFeBF4Af01r/brncAf4N8JPAf6u1/uUHeG6b3LJYLJbjYpjuWoWkrCuSmRFeRd9MZSxSUOWZZdAclTSesmb1aaF45V4Xqe4/ynovOmmBVOZ/cpqrYWnkUjl+GmEafZ4b4XVYtEbogqB3i6h7g6h9jah7nbD7Jn62PZNDKPwmSesJ+gvPk9cuktUuUYQLthTyDJJL2Jzw0We/gD++YUTYHx1/sPBc8GNPjUs2jUmlvf/SwR2/IyCwHvnkqfYro1q6ufO6kjwbirNBcq0q4fR9SziNrCrLN4dlnCORVhVrw5LOikgbybTBeuMybb9+aINj0UMJVu1zJsZEWnVS56hvmjOWVBuUhlqpZrFM5vW1HpfnwtNbllimtl7BJK+e0Xo06kQI0cKUJwpgRWt9n+HNe+7/AvAmoIBHtNZblcc+CnwK+KzW+vt3bPc08CqmRPEpfcQv1Moti8VimSFaQ9oxwqu/YRJdWoPKIBuUM/aN/EKZN45Bme4KmicuvDSaQh5+uziXdFMj8DpxUYotTTsuUOW/r0HZ4+AtugIagctSI8A9pxMcj4JQOUHvNmHvFlH3OlHnDcLumwTJ6rE+rxYuQkvS+hWUVyOrrZDVL1EEC2T1S+TRBYpgHuk3rAg7Q3Qy04NrP3oFfPpN6B0g4dXO4NM3H/zYziM/9tTotiPge67Ao437b+M50Dhdn3VY9qNMou0SZ7t6nI0k227BVpFqg33tJdNgRyptd8JsUJY5LOfcKdSYkE7DKVNslUTajue5n9wam9I5lHmjHmu7eqhVykB391qzcs1y+jluuTWNssSPlNd/WBVbAFrrjhDic5hU1wcxIuqw/AwQAv9XVWyVfLS8/g87N9JavyaEeBl4DhiILovFYrGcZoQwoiqag6XyLEdJM5mxt16WM2aALtNdienh1V+H9i3TvwsHwqYpaQznZiq8BIKjTFD2XY+5qPyXPG/6e3WTgjgzpqyXFSS5HDvJTnNJOy24sTlqLblQM19rFLhE3sMZg9COT9q6Stq6SpsPTl5JSbxsi7B3i7D3JlHnBmHvTcLeLdyif6TnNb11IOzfBqDWfu2+6yvHJw+XSBuPot2AeO5plFcjbTxCES5SBAsoN7Ai7IRpBQdbbz6E/+z5g+/3v343pEcQ4YWGz92GO4f+uPjoSA3/74zeRX/y9fH7v3P/P6MxfumD8MgOEXYhgnM+yPZsIiqpKyZ2GJs+QyGm9xBoepdQM8MF8h3pND2UcMBwP3uyb0ptZ880uK9YGwizB5VrorKv4c+iWoo6nlKrDjcYl2s7e6/tlGzO8NitaLMcN9OQW4N/5S/v8fh3MHLrOY4mt/5xef0vjvjcz5WX+/5bFkLsFc16634HaLFYLJZjxHGhtmguvMUsUwriDZPuijeN8NIaZDrq4RVvQvs2JuMkIGiUZY0t07T+FOMKwXzNZ742EnNK6+EJgFSaO9sJtcRMn1Qa2rGJjGjgznZy4OdqBh6ua95wNgIPzxXnv/TRcSmiZYpomd7yO/dcTagCP75H0L9N1L1J2HsTLTxq7dcQKiPs3zn6IaicML5LGN8FYP7uX+25bh4uIlRBd/mdOEVCb+ntICBpPoEM5sjDRZQb2f5gZwghIDriu/AfvjrdYzkI/2hHk3ypTMP+G93x5Wsx/P71w/UCO4rkm8R/t8ef0DuW4EL5ki81PNmCv/eUTXs9dAxETHl3JkINSqmmd5RrDsSaZq9kmkAZsUZVqFVvD4YT7POVTJJrQowk2p6CbWfKjfFy0KFkq5aEVkTcULJV5dz9j3OYVNsh9sbTbJWy0aFUq0wmrUo3dko4K9zOO9OQW/Pl9V4NLwbLFw67YyHE92ME1te01n8xy+e2WCwWyynGcaBxwVwGyML07eqvj4QXjCY0FjFkPSPFBo95UVnW2AKvdqrlQFU4ua7g6lKdge5qxwVpYT45Xu2kLNYPFjfppTl5GQcrlOb2dowGXEfQDL2HR3btgXY8ssYjZI1H6F7cOy0vVIGbbeMn6yb9lXeJOtdwi5igf5sgvlee0BwNPzVDpxfumLdCc2tf2nPdLLpAkKyxfemD+PEqnZX3ImROPP8Myo3IaytIv47y6kc+HovFdUzJ4CT+ybsOt69Uwl/ehq1stOxTN+C1Nszt81LWzu7/OMDXNsbv/xnwG9+GyIXvujBxk1NBruD5RXjfpens75EGNK3Qmz1ikK4yzEyqDdg1jECPUmqDBJrW4yWgA6FW3naU2r3+sARUj/6/7TXpc4CoJMXGRNtAYg1EW0WcURFx7Fg2UbaNEm1DQSeq+xxIu8H2+zAUalXBVpVugonSbUzQ7SXeBqJtMPxAjD1m5dvhmcq0xGPk58rrf3ncT7RXjWeZ6HrPcT+/xWKxWB4Q14PGsrkMGExo7G+Y66wPaJDSyK6B9Nq+WU5pVOB4ZlJjUE5r9MKT+or2RZTtmqsJr5XWwY43k4rtMu0lpWa9l3GhEZJLRZxJskJyp21KHpU2z9EMPXa293IQxz795rSjHW+YBNtzGiSAVrh5Fy9r48er+MkafrJupFj/NkIVRN03kF79yOWRQbIGjJJg9fbewfU8WMDPtuguv5Ogd5vOxXfjqIK49STKDcnqV5Benbx2Ee349k225VgIXfiBx8aX/fjTB9s2k/BLfwPf2oJG5azmXrz3NgMSCX919+DHeRJ8cRV+c6/6lCPQ9OHZMhqQSPj4E/CDj09v/5ZTSKWs8cQEG1Qk2yjFNioH1aPbu0pER7cFClSB+UoqAk7Lyj45uGyDCcm2yvdqrCcbwCjBtku6MZ56oyLq7iveyuceHMfOHnD7flvFSITt7h83KIN1x6eWDo+hKt0mS7jqfscTcIPvQ3Va6skzDbk1SEfN7/H4YPmhZnkLIZYw0w5j4Ddm+dwWi8ViOScIUSlpLFHKlC32143wStrl8sJMb5SJKW1M29C7Z5aDSXYNhJdfP9Upr4MQuA4XmyMRdnk+QmnNdpLTTyVbfSO+cmVkV5xJ7iS7zxilNlMcD6I9NBD5DvXgIZ36KBxkMIcM5kibj91/Xa3x0i3cokfQv42bdYl6byJUTn3zmxThAs2Nrw8F1VEYbNdc/yoAyzf+CIDFCetqBAJNFi3j5l3S5lWk36QI5sjql8sm+peQfoM8XEQG82jntH+GajnrBC784h6t9a614fV25X4HfvuV2RzXaaWbw0tro/vf3IT/5cvwwoQ/+lyZnmUff2L3Y5fr8Hjr+I7Tcg4ZSrZx3XQiom345JOEmx5Ktt3Lqym30XTQYepNsWN9uSvlNtq/Lr/4I8i3YcoLxktLzf3dAm5cpFWXj6TUuIQbJemqPd3GpduY+Dug3FrZTlhIQlxvHqLQbJf3aQZMJU4+jXcd3y6v9/qo8tny+rCfOwwayf/6hEbyx/3cFovFYjmvOIOG802g8q69SE1ZY7xlrouyb5XMRs3riwQ6t03KS0tAGNEVNMz+Tnlp4344QrBYC1iswaMLpknNdpyz2c/pZwXuDiFVKE03zQ/85lQqzWY/Z6OX4TqCcEfT+0E5pG87QIMQFNEiBYv7izDAzbs4RUzQu4UjU2rt19COR2v1S2S1FebvfZ6stkIQ3zva4ZQ/5SBZB6C+/Z1DbR+3nsLLtuhceDdeukVv+R0IlZM0r6K8iCJcRnp1lG/LJS3T4ck5c6nyn78A2yl8Y5MTPqu+Py9vwWdvQWsKZYRvdPfva/bNzcnLX9m+f7rt6bm9H5tEJ4cPXIJ3Lt9/PVfAixehbv245Tg5jcKtSkW+mY+Yqik3GO/dNj7sQFRk2phgUwXOUNypkWCrPgdUesAdIP02YCjiKjJtRxKu1cuoKR+x3gTfK+VWQs0T0RS+Ywi9XxO6/XYgxDPAK8A14JnqxEQhRAu4jVF6K1rrA892EUJ8A3gB+NAe/bYQQnwU06T+s1rr79/x2GBC4nXgKX3EL1QI8cX3vOc97/niF/fqN2+xWCyWc4tSkHVND69kG9LOcOLSUHrJZNTXS5bNX4U7kl5Bw9w+h0mltFD0suJgK2u4XTa6TwtJLnf3oGrHBVIrpDKN7h1H0Nqn67brPLw9wY6MKnBkgp9s4BY9ou4NABobX6fwm7TWvkLht6h1r5/I4Q3KMvvzzxF2r9O5+F7cIiZpXUU5gekb5tXJo2WUVyMPF005scVimch2Cq9WOhT/1V34vWsndjgH5lLNTAhdjuDvvwW+e4UjTSS2WCwzYFgOqsbSaqMkHNxtxyzWXZ5daVL3HEDz3p/6Z9y49vr1ez315IMewgO/E9BavyqE+EPMRMR/Avxq5eFfABrAv6iKLSHEW8ttvzVpn0KI78WIrb0ayQ/4DPBN4PuEEJ/QWv9uub0D/PNynf/tqGLLYrFYLA85jgPRnLlUkQVknYr0KkeGaVUmvLJRT69hc3sNOBDUjew6B0mv0HMIvYM1rwdYagRIrekmBWrHJ4Hr3Yxm6COVIslNzGA7Lojz+0cOcqmo+a5pgB9awXEgHA/lNEn9JgD9xRcA2Hj8hwDzqeSuTYoEL90sSyW7hL3bODIh6N/Bzdq4RZ9a59oDlUkOGPQbq2+b4P2gkX5r7aV9t9UI8mgZoRX9+bfg5l36iy/gFH3iuWfAcciiFZRXowjmUW5gxZjl3DMfwntWRvffswI/+zaTzJrErR788Y3dUy/jAr6+MXmb4+BuWQm/nsAvfcHcXp5KvmPEegI//SwsVfbrCdPIf2nKz2WxnGvGenGNqN4uPAfp+6bFR1D+73U8CqXzqRzCNLxPmd76C2AF+CRGOH0A+AimJPB7tNbrlfVNAE7riR+1CiF+A/gHwD/VWv/qpHUq634A+BPAB34beAP4GPDdwOeAj2mt0wf42mxyy2KxWCwHQ+ZGdiXbpmfXUHrpUnqlRnoVmbmtquWNtfJSpr0c71ymvfajmxUUUrPeTfcNwqe5Is4L0lzRSQuk0tSCytmYhlrgEnj7lzkKBP5DPBly6iiJo1L8eA1HJoS9W6Zhfud1lBvRWnuJtP4Ic2tfIqtdJIhXT/Rw83AJP92gu/R2ou4NukvvxFEZaf1KWTa5SOE3kcE80msYMeZFp6aJrsUyKwoF1zuH3+5v1+Bv18Hf50/mc5Ps+gkROlCtnu/lZtjB/aTX5bopvTzAvx2L5aHj9nbCUsPnrZdb1Eu59d5P/Cyvv/LyKxuxfnafzfdlKnILQAjxOPCLwMeBZcwHf78D/ILWenPHunvKLSHEInALI/keuU+/reo2b8OkxD4CtDCliL8F/LLW+gDzUu67byu3LBaLxfJgyNw0rk+2dkgvZR4rUiO/ZDaSYLpMLLlhKb3qJvXl1R5K6TWJXGo6Sc7t7YRcKYpivNQxk5p+erCySY2ZIFmbUc3LfM1HCEHg2mmTQ7TCkRlutl020r+L0JJa+zWUG1Hf/BbKi4ja1xAqxy36o/4gJ0zhN3HzHr2ltxPE9+hceDd+skZ/8QWETEmbj6OFQx5dQLkhRbhQTqC0Z8AWy07aGXQyuN2Hz96ET7150kd0eD7xFLQOHmzehe/Ah67ApbrpQWaxnAfOjNw6r1i5ZbFYLJZjQxamp1faNvIrbYMqpZbMy35eZcqrSI38GpY4YoSXVzPSK2iA4z+04quXFaiK2yqUYq2b4h5AHkitSHJFWuzTdXlKtJMCpTRKa3Kpie4j1LSGhfrRu0oHrsB1zrlA0RqhUvxkE6fo4yfrJi3WvwNaUWu/ShEsMHf3r0nmnqa+/fKwr9dpYFDKmdavACD9FlntIkJLktYTCJWTNh5DC4ciWkK5EUUwh3IjtPsAZ88WyxminUFZR4WtAAAgAElEQVQ2xZdopeFPb8K9eDRnDuAzN6F3wFaSs+THnpp+Guwdy/COpenu03f3T+dZHl6s3DphrNyyWCwWy8zRGrJemfLqmKRX3h89JtMdwqu8rSSjhvY18KJRY/uHtMzxoGRSkRW7m9xPm61+Ri41/UwilSJX938f1o1z5AO8VYtzuWsqJYDSmvmahyMEAkHoOw9lSaaQqeknlm2VPcTMaLha+3WUG1Jrv4oWnuktVvQQWuEWfTTi1KTGpFvDlTFx60lqnWt0ll/ETzdJWlfRwqUI5iiCBbQbkIdLaDegCObMdEqvjnKCM937z2KZNrmEpCLSNPCXt+FGd+9tlIZPvn7sh3YmWAjhw1cOt03kwUcf239C6GJo38qcZazcOmGs3LJYLBbLqUIWpfQqyxuzXpnmAlRRljaWwmtY5piVU2y0kVxeVIqvstzRDey7xRMgKSTFfeRWO85JC4Xg8D8bjaafyj3TaP1MkpUTK7XWJLkicMc/btdoVloRvms/hp+I1njZFkJm+MkaQhWEfTMkvNZ+jSKYp7X2JZLGY8zf+zxJ41Gi3s2TPuo9GUqyuaeptV9je+X9hL1b9Befx5EpWe0y2vEoQtN3THp1pN9EeTWkV0O5Z3tAhsXyoEgNf3EbrrUfbD+ffnPUTN+ymw9dgfoR54AoDU/NwQcvm/srtuxzpli5dcJYuWWxWCyWM0ORGuE1SHxl3UqZYzEqa5RpWfaYGvGlBkNqHPAjU+roR6P0l+0LdCaRSk+UW0mu2E5yHCFQStNLC7IJ8bBOmtNNil3S64GPS2suNMOZ9Tc7rQhV4OZd3LyLU/Txsm2cIsbLtvGyNo5MCXq3UH6D5tpXiOeepLH1Mnkwj5/tMebuFDGQeZ0L7yZqv0734rvx0k2S5lUEmjxcQrkh0m8aSeZGSL+O9OpoN0IL10p3y0NNoeCv75rpldPklS3489tQm+Kg2EzyQCnjk+S7LsBcpcJbani8Cd/7iBkeMGerv6fGccstO/vYYrFYLJbzgheaS2N592N5Uvb36pi0VzXxpVXZ0L5sbj+Y+thbNVKMslzPDSqpr7qRX7bc8dTiOmL45rFKPYClxujdeqE0uRwvydzu56x2BfPR0ft97UU/k9xtJ/iuQErNQiPAFYJa4D5UpZEmBbVAES4ccQcKoTK8rIsjE7x0E6EKgvgOCJewewMtXIJ4FafoI7Qkar9OVr9M1LtJ4TXwiimfNVcYpNRaay8BsHjz0+X9Lx9qP4P+aP25p6m3X6O98j7C3k16Cy8g/QaOjCnCZfJwAYRjGvYHC2jXR7o1lN9AOQHa8ayot5wpvLKp/FlhLYbP34XikJLr179pvtb79RTbSh/s2O7Hl9cmL/9X3xndfv8lSCX8ncvw7BFfss8CT7ZMiehZ5QwfusVisVgslgPjR+bSuDC+XGsjswZJr6xn+nvl8ehxVUl5DZJfWcdspwadd52RXBvKr8j0/3qIhMVZxHME3o5ystq8y3IzROrp9iFLc8Wbm33qoXm+XlKQFZK80Kx2U1zn4L8rSmnmaj7zNf+hkmJDhIN2I/JaBEDafOxou5EZjjJTKh2Z4yfrgCbs3Sr7jr1G4Tepda6hHQ8v2cDLtlFuRJCsUfgtvLwzxS9snEHj/3r7NQDm7v0NAGHv1pH2l4dLaMcjiO/RXXwb2g0I+ndIWk9QhIsImaNdn7R+Be14CK3IaitoxzdCMphHOz7KjVBeNJ0v0mI5B1yowd998vDbfeKp/dfRGr61ef++Z/txrQ3//rpJY9055DyRz5t2jHxlDxF2nrjahMUpvLTlEn7+u+Cx5oPv66BYuWWxWCwWy8OMEOAF4C1PTnwpaWRXNfGV90fljkqWwisflT3mfUi2zDJdriccI73cUoANSh5t8uvU4rsCn+mWDkaeSzOaQyrTVL+b5PQySVYo5CFbZaS5pBMXbMc5jy7UbG+wI6LdAOkGSN+cgSRzTwJwWF0lVIFQOW7eQcgcP90ArQj7d1BuQK19jSJoUdt+Fek3CHs3EVohZEYY3yUPl/DTDZQT4Khsul9kBT/dGN5ubn5jeDvs3znS/qQboh0fL++S1q8gvTp+sk4RzJfCUeNlHfoLz6IdHzdrk7SeQDsBQkvyaHmYLJPBHMrxS5H28E6/tVh2IgS8sGQuD8LPvWN0+/U2vLHjhe5G1wgwT8Ba8mDPdVZ5o2su0+C/MIFdnl+A0IUPX3L4wcZ09j0JK7csFovFYrHsjeNC2DKXSRTZKPFVlV8DBk3uh/IrN6mwofwqG90LZyS+BukvLzTL7AneucIVAtcVBDWHhZopeyyURh1CbuVScW2tj+sIemnBza2YwHVohuatresIGqF9mztLtOOhHQ/l1QDImo8C0ONFALYePdz+nKKPkDle3kGoHD/ZQAsIe7dRboijcqL2ayjXRAzC3pt46TZFtISb94i6b5AHCyaVVhwypnEIXJmaNCuUAwUMfrZFrXt9eL+58dUj7T8PFsz3QEv688+hhUPUuUZn5bvNJM/4LvH8W5BuDUcmFOEihd8Cx0E5PtKfK5NmAdJrmJ+TG5oyTYvlIeapOXPZyT943lz3cvj6hkmN/eUd+PbmdPuUnSa+vTWb/b+y7fP9jx/fZOpz+uOxWCwWi8UyE7wAvCWo7/FxapHuEF89yHbKr7wscSwFWJGapNhAjA1wg7LvVym9/DIJ5k6/L5RltniOgENMhQxch+cvt1jrpKz3UpqRIs6KYRnldl+y2jXC4WIrpDGh95jldKO8Onggw3kAkjlTu9S9eLT9CZniyBRHZrhZG0dlCJUTxKto4SBUTti/g1AFyvHw0w2i7g2y2iWEymhufJ20dgmhJUEyu9okPxuddda3Xx7eXrj958Pbjc1vHmnf0qujhYeXt0maj6OcgLB/m6x+may2glA5ThGTzD+DEh5+ukk89xTa8XBkNizXBChCU66phVcOBQjsUADLmabhm15bAB+4fLLHMgtWY7g5hcRWoeB//SrcmzDxs18IsslDnKeC/U9vsVgsFovl+BgksfaTX4M+X3nfyK9BLy+tQWUjATZIgKUdiDfGSx9hlP5yqwmwwJQ/Ws4VniO4PB9xcS5kvZsNk1/r3YyFmkaj2Y4LNropq9qIrvmaP1RoUeASeQ/3xMaHCe2GSDdEAnlt1HvwgVrqK4mjcpyij1PEODrHzTo4MkFoiZt1TamlG+EUferbr5DVLyFUTuveF0haVxFaU9/+DhpBEczNdBJmNdEWdW8Mb9far1Ere5zBePnm4q0/PdJzZdEFQBMk6/QW3op2PGrtV+kuvRPl1fGybYpgjjwyPxuhMrJB3zOVk0cXyrSZ+T5px0MLH+kbQYdwrEizWB6AizVzmQa/dgniAq6XZZ///IvQCqDhSg7RWvPQ2Hd6FovFYrFYTo6B/GIP+TXo+ZX1Teorj83kxyI24muwjsxGSS+VmymPyZa5VvcTYJUkmE2AnUlcIVhphcP7l+cilNZ0koI3N2MW6+bn2o6LoQDTaO5sJ0S+SzhhRJcjBK1yZNRD2azecjAcF+W4028srzWOTBEqR6gCL98eijQ/WUMLF6Fyou4NpN9EqHzYywzhEvRu4WVb5NFFHBlT61wnD5fKfbWne6wHpJp2a2x9a3h7/t7np7J/jUBg/r6z6AJu0cct+vQWngMcatvfobPyPjNMoH+HpHkV6TdxZIp2AyPfhItQGXl0sRRp2gwQEC7acZFeE+24ZQmuLZm3WO5HzYO3Lprbv/aD5vr2dk7NO773WlZuWSwWi8ViOb3s1/NrMO1xKL7K9FeRQpFMFmCqkgJL2ua+KiqTHwHHL6XXjlJI1zfHZDnVOEIwX05S1Jjm9b10JDhXOyk13yMtJvf+6KcF23GG1qCBuehgb8YdIWjVDvb7IRBWnFkmI0QpzIw0K6LFiasdOeOlVSnOctwiHoo0N++YwQBa4mUd3KyNdgOcok/UuU4eXUCogub6l0mbV0Ermhtfo/Bb5ZCAWwg0ygkROkdMedrq/RiILdgp0kalnPN3/2p4u779ylSeV3r1YQIuaTyK0JKwf4fu0jtMOm37VbrL70KVfc7coo9yQ1PSKbxyWUxWv4QWHsrxEAOp5vilWPOQXg1dDh5A2OEZFsskrNyyWCwWi8VydhlOewygNvkE0AiwrFL6WF6GAkyN1huWQBYjGVbEkHVGy6mcsLmlAPOCHbcDewJyShAIGoE31ndrqRGwHWeoCT3st+OcNDcyK1eKOD14g5BuWtBJDjbpT5fHVg8PL0sFJll2nOUdE54U1/5Onw+EY5rKuyGqnJJ5LGiFm/dKYWZKNoVWCFXgp+to4ZV9z+6a0kLAT9fNYIBgHkfGNNe/Rjz3FEIXNDe+Xkohd9i8Xzk+jsqP72vYh7HSzt7N4e3mxteGtxfufG6qz7kzpWZ6mzmE/dv0Fl8YSjM/vkcRLpHVLgwHCPjpFvHc0+U6Lm7eJatfLid2ugitkV4D5YXD/WgnGMq5gWyz/98spxErtywWi8VisZxvhBiVP95PgA1KIPPYCK08MfKrSCuN7cv1ZF5JgZVN8bMeqK1Rk/xhkkCMEmBuYNJf1VSYTYLNHM8RLDfCiY9dbI6Wb8c5uTxY+mQrzlmQwYHa4kulyQpFUhyts26cS+60J3TrPU40SM1wIuWAucjfVZ3lOFaEWQDhIINR6javrRzfcymJW/QQWiJUYUQaRqR56YYRabow0za9GmhJ2LttUnJOgJdtE/ZuktUvI1RBa+0l+nNPI7Si1rmGcnyUV8PLTqass8peKTWYMFygItwGzN37m6kcR+E1wHHRwgxgyMNF8nAJ7bg4MsNP1ugtvq2UYh5R9wb9xbeiHH+YWJNejSJYMOWewsVRebkPbyg8ZdAcSjUtXJRbG962vdYsVazcslgsFovFYhECXA/cOYgmzAYfoHWZ+Kr0/hpIMFmmvgYM+n1VJdhYEqy8X+0H5vgjATa8Dkf37Zv4mTJfO3hvkAvNybJsEkpr2kmBmhQd24duWtDLjrcp704KqcmVIs3HZVw/k9zrJrvW18rk0mr+wcWtEDC34/vtOrZ003JAHBcZjF6789oRx2oeBK1NaacujEgregglyyECRn4JXeDH62jXN8k1VRDEd01qTrhmu7xL1LlGVr8y3Fdr7SWS5lW0EAhVDNNg0qsN91OVWyeJV4yPY/DTTfx0c2zZzp5qtc7rUz2GaootDxbKVJkgiFfpzz1d3jcpNuk3yeqXh4MJgv5t+gvPD8WZn26S1i+j3AiEC2i0cJD+3EimoZF+c9iHDeGaklHhQpmGMwMO7OvWSWDllsVisVgsFstBEQL8yFzuN1VokgQblEEWWSUJhkmC7RRgAymWx6N+YGOlN46RcWMyrCrCfFs2copxhGDhEOKsylIjmPLR7I9G000khRql2LppQT+Vu37N8kKTFopCHi6V1k4K7nXGRVkuNfVgf0HmCsFiI7AizDIbhADhonHL0s7GbJ9fK9yiX8qufCjYKEs+hS7w0i1zqOhSpPXwkzWKYG4oyZobXyNpPm7SblpS234V7bgUwTxCFThFzP/f3p2HyXbXdR5/f6u6+/bduYEEGIKyyDoxjAbZ8oAEZjKIwigTfHQeWUSYwZEBhAAuI4sOo8wMu84oIIMKCCMgoIBE2RQQkFWWsCYBEggkuTe56bWqzvnNH+ec6lOnq3q5Xbe7q+/79Tz1nK7fWfrXNzldVZ/+/n6/fYvfoztzdKUiLlsdZu+ketA33blxYN+B2oqfACxdz/6brxo8Zkxzrw1ThV6trEsrX2bp4O2K/2+izf6br2Th6A+RTR3sV7G1uvMsHb1TEZxFm33z32Hh6A+VAV2bVm+BrJzfrj9ENNpE6tGbOVpcu1/RFmRTB8pjpsoKuzZ5e9+efm9guCVJkjRumwnBqhCrCsN6y7VHbU4wKMKvVAVh2eBk+ANBWA/qf91vlYFXa6pWFVYbJlm+GZaGqeb4qjt2YHjIVq1UuZnakhPzHY4dHBz+2ekl5pc3NpfSycUe3zq+sCoISwkOzU4x1Vr5MNduMfBcmjjRIhvDXGnfO9UT8x6tMlSLlBHZMq28U1av9Yisw1TnZDGHV9m2b/479GYOrzyfu7oIBlvTRJ7R7t7M/pNXsnT4B/oB3aHjX2T5wG1J0epP1A+Qtff3K912SxXbMO3e4NDx2cYQ0WHB2v65bw48P3T88+PvGMVcddW8awBT3bni37oWmk11biTyjKUjd+xXqqVos//klcyfdc+VOdmiTStbBqC7/1ZFe3mNdm+e7v6z+8/PWsw4vNSm1T4LZvcX70l6G5unciMMtyRJknZKxEql1Xr6E+PXq8Aa25WDy4qwbKUiLGUroVhnAfKbVqrGUs5KGFavCpte2dbDMOcJ0wjVSpWbMayKrZPlLHbWr/66fm6Zg/umWBhy7FI34+TCYEDWzXNaERyZnWZmeneHXNOtoG0Qp92mVazquCuknFZvqQy7iuCs1VvsV6NVVWukrF/FFnmHmcXrioAwZUSesf/kN4o54crhpjPz36WVd+jtO9avkDt0/AssHrlT/5zZ+atJBNn0oWJIam1xgd2uWIShC7Vfm9UiDU3T139mVduoY9fzg8Mab5o7pWsNs0v+r5QkSdKa6hPjryelYv6vgQBsaaUirFoJsn98vhKE1UOxvFd83Vle+bo5TxhRVoTNNMKw6cGKMSvDtAkz7RYz+9cPdo7un6aT5Sx1Byu/lroZJ5e6tGpT/C92M5Z7xdxh850e8+MrGDgtOr2c6XaL1hgmWMvzxKHZKabbK/+mM23DM024aJFPH9jpXgyIvKiwruZhWwnbiuCs1Z0vfiuVIVkrW6TdnSe1pvuB3L65q+nOntUP6WZPXkU2U8z9RRnitXuLHDjxZRaP3qn/vSJl7D95BVl7th+6RZ4R+TLtsrpqLzPckiRJ2msiYGqmeGxEnpWh1/LgBPm95SIkWxWGpcEhkP3Qq1dUhnXnYTmr7WsML2uV1V+tskKsP1yyFoq12nt6bhCNz0y7xUx78P+VI7NTnHN4MAjOUmJuqcd1c8vcJma3s4ubttDJWO5lYxt0tdTNWOj0Gm05R2anR078P9WOgTBM0vqKCeunSOVtVV/oYMelVIRqVeiVerSy5TKQy8uArEcr69DqLRavwbXjZxa/V4Rm5ZBUUsbM4vVAIm/Plm1FsLdS6Zb3Q7uZk1cS0aJ96GzaZHD8inW7vBmGW5IkSWe6VhtmDgAH1p4jrFIPw+rVYP1Ht2gbOKcWguVZOXdY7XmnsxKOVfvqH+2jCsOmBsOw1vTKMMrWlEMmNVK7HDK52WGTOyFLicXu5iblH6Wb5ZyY6w5kxQvLGXPLXeY7Gd3lfOh5nW4GEbSHVF3um2oxu4HJ/ptmp1pWi0k7JaJY1bEevm3jt//uTUucdXCau9/mMAdmyijqrU+EE18dy/UNtyRJkrQ59TBso3qdMgwrt1mn+Lq3NLw6rJo3LGVl4JWtVIpVbd2FlWGUqbYd6Ot0LRArloUvwrCplSGTrXJ1SYdOapdoR3BoZnwf1Y7tH6zi7GQ519y4OHKFybmlHt0sJx9SOtbLMuY7GfPLvdU715CA627OVlXZDZOlxLED0wRF9djMlIGYpLUZbkmSJOn0q4ZJbmDKMGBl3rCqGqxfKVarEMt7xTH1FSXrQybrgVd/Uv18RChWn1SfWqVYbfhkvUKsXQvFrBbThJlpt7jjLQ+O3J9Iq+YxgyJ0Oj63+cnKEjC31KWbbWyg5c1LXZbKRQJu6GYEQasVHN0/3o+vQbB/pj0y5JM0OQy3JEmStPtsdt4wKOcTyWuBWGOoZN4dbG+em9cqxPqT7JdzieX5ymqVefm8CsZohAD1IZJVSNaeKr5uTw8Or7RiTLtQECPn4jp01ql9hMzyRDcfPgSybm6px2J3hgBuWuwV5yS4abHD0piGala6vcR1c8u0G5P2Z3nirIMzA7dmAAdmpgzCpF3KcEuSJEl7Q0QZJu2H6Y1MHlZTBVkDoVhtQv2su1IpljeGY1XVYlXY1RwmmWfleUsr84lV4VmzYoyyEqzVmGOs/2gPTshvOKYJ0W4F7Q1UOc4eWjnmdscS3SxxYr7L2Yc3EXRvwNxyRqeXk6XV1WTzSz062WAQ1+3lXD/XWRWE1aWU2DfV5uzD+wzBpG1muCVJkiRVgdLUvo0PnYRGtVh3cChlFZbV9w0LxlIzDMtXP8+Wi+GU9WGUw+YYq8Kxarhkv4KsNtdYfbhltB1WqV0rCGbawa2PbOam3Lhensgb4dZCJ2O+sbLk/HKP5W5OGhKE1XXzxIm5Dt86vsAaGdiG5AmOHZih3YKDM1OEYZm0JsMtSZIk6VRtpVoMiuAq760MmayHY1lvZV/eK593i0CsL60Ou/K8eN6sHut2asFZDqwTkPWHVda2A/OQ1cKxKlCTJshUKygGHK6Y2d/iFkNW1MzyNHSC/Uoi8c0b5tnXbpHY2Nxiazm52CNPOXOLRcXYuKOtBByenaI95vv24L420xtYNEAaN8MtSZIkaae0WtCaAWaA0RN8j1QNiezPKdZtDKWsD6esrTg5eJHVVWMDc5A1K8gawyrrYdmAaMw9Vm1btWCsqiSrtTnUUrtQuxWsXeMY3OWcw8Uwxy1mW/OdjIVOjxMLXY7lOesUjJ3i9+jRyxJb7mxNLyWuuXHzCw5AETEeGRIq1rUjODQ7teWgzyq4vclwS5IkSZpUEcUk9e21PxSuqV89VlWQ9VaGVdYDs7wRkDU/ca8aYpmvriKjbOvPQVYdn1ipJGvOQwYr1WRTK1ViVVBWX9my/3WrFqhZRaLt045oFoNt2pHZKY7MTnGbI7Orhk2OQyfLObnYDLm3JssTx+c73Org5udG6+WJuaX1+zO/3OP4wqmFZ3WHZqZot4MgODzbXhV2BQZgk8hwS5IkSTqTDVSPnaJq7rH6pPsDX3dXhlU2q8hSs+Ir1SrHysCLMgAbFpTlvaKirF9JVnsMrShjsEpsaFhWm7C/PvwyWlaWaVudjonpZ6fazB4e/1x7tz06e0pDMm9c7NLtrX3eyaUuy918S7deSjC/3KVX/kpY6PQ4ubQ6LMsTHJhpM9VqcWBfm+l28U1bhKHXLma4JUmSJGlr+nOPlZPyb0UVbOX1kKwx/1ie1Sbtr1aqLNuHXS9lg4FXagRhQ8OyfKVtIDQb8j3qE/nXHwPzlQ0ZnlkP2AhDM028OIWytWP71w/Wzzm89UUFioq1LgmYW+qx0MloNWb+z/PEQqdHL0/0spzrTi7192UJDu/bwxFKwJHZ6bH8Gopg7PO5rWcP/5eRJEmSNHEiipUd22P4qJKqKrDe6Ee90qz/qE/IP6Tyq18Vlg0Jv0YFZp3BgKyqdlurwoyoBV+t4UMvV1WfNdtaDs2UgJl2i1sdKkKysw8ND8s6Wc7cUo9ulrh+bplzDs+SA3mec/PyeIdy7jYLnYxra2HelqRiAYZzjsyWCzew7mqjW2W4JUmSJGlvirIaaqvDLusGJtuvwrBsRFBWttcn66/OXfVBL40OylaFZqn2dRd6tYCsukZ9Jc1RQ8WiNvxyoOKstRKWNSvQ+m0twzPtOTPtFmeV84bd+shKALbQ6bHUGxZA7w1VJds4qrZ6WaKb5Zxc6nLD/PJA++lkuCVJkiRJG1VVljEFbH2oVF89/GqGY/35yar92ZBjRwzLBFYHZ43Ksf7QzTS4v5oTbWBoZ9pgeFYGi83gbL2QrDlkc+DhsE3tjAMzUxwYUz6+G501xh8uT4kb5jvsm2vTLnPvbi8xv9xluh1MtU9PGG64JUmSJEk7rdUCWltb+XKUYcFZtQDAQHVZVlSf1ecwq4Kt+oT9q1ThWQKqYKysJKsq3aiHabVQLevWzs8a18pXB2qr/+HKf7sYDMHWCsuGzY9mkCaNRSuCsw/tGxj62clyFjoZ0+1gxnBLkiRJkrRppzM4g1pVWNYIzPLBqrJhwzPzbHB/FWYNs6rCrB6oMTw861ehZUBvRNXaRoM0Bodr1kO0/rxojSGd9TCNaFSqtVeu4YIC2sNm2i1m9p/e4cuGW5IkSZKkU1eFZ+MeqllXhU79CrKsEaLVq9KaIVpthcy8FrgNrUJrfL96NVozEEu16rRmqNYP02rt1K7Z3A5dUKBUD9P6FWojhnwObW+t/Dfqf92odJMmnOGWJEmSJGl3i1iZr+t064dX2WBFWRWUDVSi9WrttaGbqfZ1PVAb/U0Hq88YEn4lGkM80+rQLM9ZO1RLw88fKoZUltVW8BwY3hkU4dmIcK055LO+tWpNY2C4JUmSJElSpVpl83QO5WyqV38NDdRqwzjrFWkDgVp9eGi+UsW21lDP4psPCdKGBGtr7k+1irVh4VvtMez8NcVKuNkMyGBwyGe9Oq3f3q5dY8i8bM1qOE0kwy1JkiRJknZSFd7Q3r5ArVKFUs2qs6HBWr0qrTFUtB6m5fWKsfr8aGv0oX/MRgK2EdVr1bWqhQpS7bxhFWyr2jYatLUGvx42f9rIarY1grWBa9SHolrZth7DLUmSJEmSzlQR0N7haCBvBGujqtKac64NO7YZquXrrfbZ0Kw4q1emNZ8PPaYa6lk7pz4HG2n191gzcKsea2lBMHwIabMtymMZEratCt7qIVu1vzH32y4J3wy3JEmSJEnSzhlYlGCH5Y1AbVXglgbbhoVvzWBuIHBjdUC3rvrQUeiHaQxrq65f2z+yrQreGBK8NdvK71G/1oaq3SrNoaEt6C0zOxWzG7zAmnbB/zmSJEmSJEm7QD9o20XyYSFZs2qt2td8XrU1h5+OWHCgWRW3IcMq0JpDQuuVbmV7a4rljM44/okMtyRJkiRJknar3Ri41aVm6DYkhBvWPn2A+U5aGEcXDLckSZIkSZJ0auoLImxGe3pslVu7OPqTJEmSJEmS1ma4JUmSJEmSpIlluCVJkiRJkqSJZbglSZIkSVV8G8QAABFHSURBVJKkiWW4JUmSJEmSpIlluCVJkiRJkqSJZbglSZIkSZKkiWW4JUmSJEmSpIlluCVJkiRJkqSJZbglSZIkSZKkiWW4JUmSJEmSpIlluCVJkiRJkqSJZbglSZIkSZKkiWW4JUmSJEmSpIlluCVJkiRJkqSJNbZwKyLOjYjXRsR3ImI5Iq6KiJdFxLFTuNaPRsQbI+Lq8lrfi4gPRcRjhxyb1nh8bDw/nSRJkiRJknajqXFcJCLuDHwUOAd4B/Bl4D7A04CHRcSFKaUbNnitpwAvB04A7wKuAc4CzgMeDvzpkNO+CbxuSPvVm/pBJEmSJEmSNFHGEm4B/5si2HpqSumVVWNEvAT4VeCFwJPXu0hEXAy8Avhb4JKU0s2N/dMjTr0qpfT8U+u6JEmSJEmSJtWWhyWWVVsXA1cBf9DY/TxgHnhMRBzcwOX+J7AI/IdmsAWQUupurbeSJEmSJEnaS8ZRuXVRub0spZTXd6SUbo6Ij1CEX/cD3jfqIhFxHnA+8HbgeERcBFwAJOCzwAea16+5RUQ8AbgNcBPwqZSS821JkiRJkiTtceMIt+5Wbr86Yv/XKMKtu7JGuAX8WLn9PvBB4EGN/Z+PiEellL4+5Nx7AX9cb4iIzwGPSSl9fo3vWT/+UyN23X0j50uSJEmSJGn7jSPcOlpubxqxv2q/xTrXOafc/hLFJPI/CXwYuDXwXOAXgHdFxA+nlDq1814CvJUiXFuiCKOeA1wCvD8i/lVK6ZqN/zir7Lv88su54IILtnAJSZIkSZIkVS6//HKAO4zjWuOaUH4cqvm/2sDPpZT+sXx+MiIeSxFa3Rv498CfVyellJ7ZuM4ngUdHxFvKYy+lmNR+TSmloelVRCwvLi7y6U9/+nOb+WEkjUVVOfnlHe2FdObx3pN2hveetHO8/6Ttdwfg5DguNI5wq6rMOjpif9V+4zrXqfZfWwu2AEgppYh4B0W4dR9q4dYa/pAi3GoOb9ysL5R9sHRL2mbVcGHvP2l7ee9JO8N7T9o53n/SZNvyaonAV8rtXUfsv0u5HTUnV/M6o0KwE+V2/wb7dV253cgqjZIkSZIkSZpA4wi3PlBuL46IgetFxGHgQmABWG/1wo8B88AdImJYIHVeub1yg/26X7m9YoPHS5IkSZIkacJsOdxKKX0DuIxirOSvNHa/gKJy6s9SSvNVY0TcPSIGViFMKS1QrHg4C/y3iIja8T8MPB7oAW+ptZ8fEdPNPkXE+cALy6evP9WfTZIkSZIkSbvbuCaU/8/AR4FXRMRDgcuB+wIXUQxH/M3G8ZeX22i0/xbFHFlPB+4fER+hWC3xURSh19PLMK3yDOAREfEPwLeBZYqJAB9GMTH9q9nY/FySJEmSJEmaQGMJt1JK34iIewO/TREsPRz4LvBy4AUppRNrnV+7zsmIeCDw68CjgacAi8CHgf+VUrqsccrbgSPA+cBDKAKwG4D3AK9OKb1zqz+bJEmSJEmSdq9IKe10HyRJkiRJkqRTMo4J5SVJkiRJkqQdYbglSZIkSZKkiWW4JUmSJEmSpIlluCVJkiRJkqSJZbglSZIkSZKkiWW4JUmSJEmSpIlluCVJkiRJkqSJZbg1QkScGxGvjYjvRMRyRFwVES+LiGM73TdpkkXELSPiiRHxlxHx9YhYjIibIuLDEfFLETH091JEPCAi3h0Rx8tz/jkinh4R7e3+GaS9JCJ+ISJS+XjiiGN+KiI+WN6rcxHx8Yh43Hb3VdoLIuKh5WvgteV7zO9ExHsj4uFDjvW1TxqDiPjJiLgsIq4u76UrIuIvIuL+I4733pMmTKSUdroPu05E3Bn4KHAO8A7gy8B9gIuArwAXppRu2LkeSpMrIp4M/B/gu8AHgG8BtwYeBRwF3go8OtV+OUXEvyvbl4A3A8eBRwB3A96SUnr0dv4M0l4REbcHPg+0gUPAk1JKr2kc8xTglcANFPdfB7gEOBd4cUrp0m3ttDTBIuJ/AM8CrgbeA1wPnA1cAPxdSunZtWN97ZPGICJeBDyb4nXs7RT33Q8BjwSmgMemlF5fO957T5pAhltDRMR7gYuBp6aUXllrfwnwq8AfpZSevFP9kyZZRDwEOAi8K6WU19pvA3wCuD1wSUrprWX7EeDrFMHXhSmlT5bts8D7gfsDP59SetO2/iDShIuIAP4WuCPwNuBSGuFWRNyB4g8888AFKaWryvZjwD8BdwYekFL6x+3suzSJIuJJwKuAPwH+Y0qp09g/nVLqll/72ieNQfn+8hrgOuD8lNL3a/suorifrkwp3als896TJpTDEhvKqq2LgauAP2jsfh7FG/zHRMTBbe6atCeklN6fUvqrerBVtl8L/GH59MG1XZdQ/FX7TdUbjPL4JeC/lk9/+fT1WNqzngo8BPhFite2YZ4A7AN+vwq2AFJKJ4D/Xj71jz3SOiJiH/BCimrlVcEWQBVslXztk8bjByk+8368HmwBpJQ+ANxMca9VvPekCWW4tdpF5fayIR++bwY+AhwA7rfdHZPOANUb+16t7SHl9m+GHP/3wALwgPKDg6QNiIh7AL8HvDyl9PdrHLrW/feexjGSRvs3FB+Y3wbk5fw/z4mIp42Y88fXPmk8vkYxnP4+EXGr+o6IeBBwGPi7WrP3njShDLdWu1u5/eqI/V8rt3fdhr5IZ4yImAIeWz6tv6EYeU+mlHrAlRTzJdzptHZQ2iPKe+3PKCpIfmOdw9e6/75LUfF1bkQcGGsnpb3nx8rtEvAZ4K8pAuaXAR+NiA9FRL16xNc+aQxSSseB51DM7/qliHhVRPxuRPw/4DKK4fn/qXaK9540oQy3Vjtabm8asb9qv8U29EU6k/wecB7w7pTSe2vt3pPSeD0X+BHg8SmlxXWO3ej9d3TEfkmFc8rts4AEPJCiYuR8ig/YDwL+ona8r33SmKSUXkaxcNEU8CTg14BHA98GXtcYrui9J00owy1JOy4ingo8k2Li6sfscHekPSsi7ktRrfViJ4GXtlX1nrsHPDKl9OGU0lxK6fPAz1CsnvjjI4YoStqCiHg28BbgdRQLoRykWKH0CuAN5Sqmkiac4dZq6/0Vumq/cRv6Iu15EfEU4OXAl4CLyvLxOu9JaQzK4Yh/SjHU4rc2eNpG779Rf+GWVKheoz5TX5wBIKW0AFQVy/cpt772SWMQEQ8GXgS8M6X0jJTSFSmlhZTSpymC5WuAZ0ZENczQe0+aUIZbq32l3I6aU+su5XbUnFySNiging68EvgCRbB17ZDDRt6T5Yf1O1L8JfyK09VPaY84RHEf3QNYiohUPShWAwZ4ddn2svL5WvffbSn++n11+eFc0mjVvTTqA/GJcru/cbyvfdLW/FS5/UBzR/na9QmKz8Q/UjZ770kTynBrteoX38URMfDvExGHgQspVsn42HZ3TNpLIuI5wEuBz1IEW98fcej7y+3Dhux7EMXqpR9NKS2Pv5fSnrIM/PGIx2fKYz5cPq+GLK51//1E4xhJo72PYq6tezbfX5bOK7dXlltf+6TxqFY1PHvE/qq9U26996QJFSmlne7DrhMR7wUuBp6aUnplrf0lwK8Cf5RSevJO9U+adBHxW8BvA58CLh4yFLF+7BHgG8AR4MKU0ifL9lmKNyD3B34+pfSm095xaY+KiOdTVG89KaX0mlr7HYHLKVZFvKAaThURx4B/opi75AHO3yWtLyLeATwSeEZK6aW19ospVgm+CbhDSukmX/uk8YiInwXeDHyP4nXsmtq+nwDeRfHHn3NTSjd470mTy3BriIi4M/BRipVt3kHxxv6+wEUUwxEfkFK6Yed6KE2uiHgcxYSeGcWQxGFz9VyVUnpd7ZyfppgIdAl4E3Cc4gPC3cr2n03+MpNO2ahwq9z3X4BXADdQfEDoAJcA51JMTH/p9vZWmkwRcS7F+8vbU1RyfYZiiNNPU1R1/VxK6a21433tk7aorJR8L/CvgZuBvwSupRii/1NAAE9PKb28do73njSBDLdGiIjbU1SWPAy4JfBdil+GL0gpnVjrXEmj1T5Er+VDKaUHN867EPhNir+YzQJfB14LvCKllI2/p9KZY61wq9z/COBS4EcppjT4EvD7KaU/2c5+SpMuIs4GnkvxQfm2wEngH4DfTSl9YsjxvvZJWxQR08CvAD8H3JNiaOFxivm2XpFSumzIOd570oQx3JIkSZIkSdLEckJ5SZIkSZIkTSzDLUmSJEmSJE0swy1JkiRJkiRNLMMtSZIkSZIkTSzDLUmSJEmSJE0swy1JkiRJkiRNLMMtSZIkSZIkTSzDLUmSJEmSJE0swy1JkiRJkiRNLMMtSZIkSZIkTSzDLUmSJEmSJE0swy1JkiRJkiRNLMMtSZKkMYqIB0dEiojn73Rf6iLigxGRGm27sq+SJEmbYbglSZK0SRFxhzIUet1O90WSJOlMN7XTHZAkSdpjPgHcA7h+pzuyAZPUV0mSpKEMtyRJksYopbQAfHmn+7ERk9RXSZKkURyWKEmStAnl/FRXlk8fVw5PrB6PHzWPVTXnVURMR8RzI+IbEbEUEV+JiCfVjntyRHw+IhYj4uqIeEFEDH3PFhH3jYi3RMS1EdGJiG9HxB9FxL/Y4M+yXl+nIuI3IuJrEbFcXv9FETEz4np3j4jXlcd1IuJ7EfHGiLjbRvojSZJ0KqzckiRJ2pwPArcAngZ8Dnh7bd9ny31reRNwX+DdQBe4BHhVRHSB84HHAX8NvA94JPBcYAF4Uf0iEfEE4FXAMvBO4NvAXYAnAo+IiPullL51qj9k6Y3AA4H3ACeBhwPPBs4BfrHRn4cBbwOmgb8Cvg6cCzwK+MmIuCil9Okt9keSJGkVwy1JkqRNSCl9MCKuogi3PptSen59f0Q8eJ1L/ABwXkrpxvL4F1MMDXwpcCNwfkrpmnLf8ylCoksj4sUppV7ZflfgD4GrgB+vji/3PRS4DHg58DNb+FEB7gz8y5TS8fLav0kR6D02In49pXRt2X4M+HOKEO5BKaUv1fpzHvAx4DXAj26xP5IkSas4LFGSJGl7/VoVbAGklK4APkxR8fU79aCqPO6vgFsBt6td45cpKqSeVj++POd9FJVcj4iIw1vs63OqYKu89jzwBor3kPeuHffYsv/Pqwdb5TlfAF4N/EhE3HOL/ZEkSVrFyi1JkqTt9ckhbd8pt58asq8Kr84Fvll+ff9y++MR8WNDzjkHaAN3HXHNjRrW12+X22O1tqo/92rO31W6a7m9B/ClIfslSZJOmeGWJEnSNkop3TSkuVdu19o3XWu7Zbl91jrf7tAmurZKvcJsSH/aQ/rzJNa2pf5IkiQNY7glSZI0eaoQ7GhK6eSO9qRQ9edeKaV/3tGeSJKkM45zbkmSJG1eVm7bax51+nys3D5wh75/027rjyRJOoMYbkmSJG3eCSBRrHy4E34f6AIvLVdOHBARMxGxnUHT/6VY6fF5EXGfIf1pbWAVSUmSpFPisERJkqRNSinNRcTHgQdGxBuAr1JUc71zm77/lyPiCcBrgS9GxN+UfZimCNweCFwH3H2b+nNDRFwC/CXwsYh4H/BFigDw9hQTzt8SmN2O/kiSpDOL4ZYkSdKpeQzwUuBhwM8DAVwNXLUd3zyl9PqI+BzwTOAi4GJgnmLlxbcAb96OftT6876IOB+4FPi3FAFbp+zP+4G3bmd/JEnSmSNSSjvdB0mSJEmSJOmUOOeWJEmSJEmSJpbhliRJkiRJkiaW4ZYkSZIkSZImluGWJEmSJEmSJpbhliRJkiRJkiaW4ZYkSZIkSZImluGWJEmSJEmSJpbhliRJkiRJkiaW4ZYkSZIkSZImluGWJEmSJEmSJpbhliRJkiRJkiaW4ZYkSZIkSZImluGWJEmSJEmSJpbhliRJkiRJkiaW4ZYkSZIkSZImluGWJEmSJEmSJtb/B0PZoCnuZzHNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 317,
"width": 603
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax = kmf.plot(figsize=(10, 5), loc=slice(0, 100))\n",
"\n",
"utf = UpperAsymptoteTFitter().fit(df['durations'], df['censor'], timeline=np.linspace(0, 1000, 10000))\n",
"utf.print_summary(3)\n",
"utf.plot_survival_function(ax=ax, loc=slice(0, 100))"
]
},
{
"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": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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