diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000000000000000000000000000000000000..87620ac7e74efee566c6ee9d2ed7281ebafb4788
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1 @@
+.ipynb_checkpoints/
diff --git a/Simulando_una_epidemia.ipynb b/Simulando_una_epidemia.ipynb
index aa354d258837bee94c26831f5b36be60444e5189..8818f3e0f6e165b4cc75d94b3ed791648e2750e9 100644
--- a/Simulando_una_epidemia.ipynb
+++ b/Simulando_una_epidemia.ipynb
@@ -131,7 +131,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 1,
    "metadata": {
     "colab": {
      "base_uri": "https://localhost:8080/",
@@ -145,7 +145,20 @@
     },
     "outputId": "4f36827d-6ff3-4554-df30-3e7e27fbfd36"
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "en el dia 0:\n",
+      "suseptibles:  1.0 , infectados:  0.0 , recuperados:  0.0\n",
+      "en el dia 50:\n",
+      "suseptibles:  0.78 , infectados:  0.12 , recuperados:  0.1\n",
+      "en el dia 180:\n",
+      "suseptibles:  0.12 , infectados:  0.0 , recuperados:  0.88\n"
+     ]
+    }
+   ],
    "source": [
     "import numpy as np\n",
     "from scipy.integrate import odeint\n",
@@ -197,9 +210,22 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 864x432 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "def plotdata(t, s, i, e=None):\n",
     "    # plot the data\n",
@@ -262,7 +288,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "metadata": {
     "colab": {
      "base_uri": "https://localhost:8080/"
@@ -270,10 +296,23 @@
     "id": "z_7OPTr-uLp5",
     "outputId": "6d8dbfa6-a52f-4142-f742-6b6a91e2e6d1"
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "s = np.random.lognormal(1.1, 0.21, 1000)\n",
-    "plt.hist(s, density=True, bins=100)\n",
+    "s_R0 = np.random.lognormal(1.1, 0.21, 1000)\n",
+    "plt.hist(s_R0, density=True, bins=100)\n",
     "plt.ylabel('Probabilidad')\n",
     "plt.xlabel('R0');\n"
    ]
@@ -291,12 +330,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 4,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEGCAYAAAB7DNKzAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAclklEQVR4nO3dfbRdVXnv8e+PBIIKJBCOlualCSXShoo2ngS8FygFwWCBqA0aZGBAOlKH5qq13Da91pBGr0P0AveqaTU1SIBioFTwKAcDF6x4kZe8GBJPIHCIkZxIIbwFoo0QeO4fax6y2dl77XXIXvvsnPw+Y+xx1pprzr2frP3yZK0115yKCMzMzOrZb7ADMDOz9uZEYWZmuZwozMwslxOFmZnlcqIwM7Ncwwc7gGY5/PDDY8KECYMdhpnZXmXVqlVPRURHXp0hkygmTJjAypUrBzsMM7O9iqRfNqrjU09mZpbLicLMzHI5UZiZWS4nCjMzy+VEYWZmuZwozMwslxOFmZnlcqIwM7NcThRmZpZryNyZbdYsE+bd8urypi/92SBGYtYefERhZma5nCjMzCyXE4WZmeVyojAzs1xOFGZmlsuJwszMcjlRmJlZrlIThaTpkjZI6pU0r8b2kyStlrRT0syqbeMl3SbpQUnrJU0oM1YzM6uttEQhaRiwCDgDmAycK2lyVbXHgAuA62o8xdXAVyLiD4FpwJNlxWpmZvWVeWf2NKA3IjYCSFoGzADW91eIiE1p2yuVDVNCGR4Rt6d620uM08zMcpR56mkMsLlivS+VFfFW4DlJ35X0M0lfSUcoryFpjqSVklZu3bq1CSGbmVm1dr2YPRw4EbgYmAocSXaK6jUiYnFEdEZEZ0dHR2sjNDPbR5SZKLYA4yrWx6ayIvqANRGxMSJ2AjcDU5obnpmZFVFmolgBTJI0UdIBwCygawBtR0nqP0w4hYprG2Zm1jqlJYp0JDAXWA48CNwQET2SFko6G0DSVEl9wDnANyX1pLYvk512ukPSOkDAP5cVq5mZ1VfqfBQR0Q10V5XNr1heQXZKqlbb24Fjy4zPzMwaa9eL2WZm1iY8w521Jc8yZ9Y+fERhZma5nCjMzCyXE4WZmeVyojAzs1xOFGZmlsuJwszMcjlRmJlZLicKMzPL5URhZma5nCjMzCyXE4WZmeVyojAzs1xOFGZmlqvURCFpuqQNknolzaux/SRJqyXtlDSzxvZDJPVJ+nqZcZqZWX2lJQpJw4BFwBnAZOBcSZOrqj0GXABcV+dpPg/cVVaMZmbWWJlHFNOA3ojYGBEvAsuAGZUVImJTRKwFXqluLOmdwFuA20qM0czMGigzUYwBNles96WyhiTtB1xGNm+2mZkNonad4e7jQHdE9EmqW0nSHGAOwPjx41sUmu2rBjrrnmfps6GizESxBRhXsT42lRXxLuBESR8HDgIOkLQ9Il5zQTwiFgOLATo7O2PPQzYzs2plJooVwCRJE8kSxCzgw0UaRsR5/cuSLgA6q5OEmZm1RmnXKCJiJzAXWA48CNwQET2SFko6G0DSVEl9wDnANyX1lBWPmZm9PqVeo4iIbqC7qmx+xfIKslNSec9xFXBVCeGZmVkBvjPbzMxytWuvJ7Oma8deSO0Yk1k1H1GYmVkuJwozM8vlRGFmZrmcKMzMLJcThZmZ5XKvJ9trtWOPocqY6pW3S6xmRfmIwszMcjlRmJlZLicKMzPL5URhZma5nCjMzCyXE4WZmeVy91gz6ndrbVZ9s72ZjyjMzCxXqYlC0nRJGyT1StptKlNJJ0laLWmnpJkV5e+QdI+kHklrJX2ozDjNzKy+0hKFpGHAIuAMYDJwrqTJVdUeAy4Arqsq/w3wkYg4BpgO/G9Jo8qK1czM6ivzGsU0oDciNgJIWgbMANb3V4iITWnbK5UNI+LhiuVfSXoS6ACeKzFeMzOrocxTT2OAzRXrfalsQCRNAw4AHq2xbY6klZJWbt269XUHamZm9bV1rydJRwDXALMj4pXq7RGxGFgM0NnZGS0OzwZgsAbFc+8ksz1X5hHFFmBcxfrYVFaIpEOAW4DPRsS9TY7NzMwKKjNRrAAmSZoo6QBgFtBVpGGqfxNwdUTcWGKMZmbWQGmJIiJ2AnOB5cCDwA0R0SNpoaSzASRNldQHnAN8U1JPav5B4CTgAklr0uMdZcVqZmb1lXqNIiK6ge6qsvkVyyvITklVt7sWuLbM2MzMrBjfmW1mZrnauteT2WDbW3pNeapVK5OPKMzMLJcThZmZ5XKiMDOzXLnXKCS9ANS94zkiDml6RGZm1lZyE0VEHAwg6fPA42TDaQg4Dzii9OjMzGzQFe31dHZEvL1i/Z8kPQDMr9fArJXc62cX7wtrtqLXKH4t6TxJwyTtJ+k84NdlBmZmZu2haKL4MNmwGk+kxzmpzMzMhrhCp57SBEMzyg3FzMzaUaFEIelA4CLgGODA/vKI+GhJcZmZWZsoeurpGuB3gPcAPyYbyO+FsoIyM7P2UbTX01ERcY6kGRGxVNJ1wE/KDMyslr1l7KVm2hf/zdZeih5RvJT+Pifpj4CRwJvLCcnMzNpJ0USxWNKhwOfIZqlbD3y5USNJ0yVtkNQraV6N7SdJWi1pp6SZVdtmS3okPWYXjNPMzJqsaK+nb6XFHwNHFmkjaRiwCDgN6ANWSOqKiPUV1R4DLgAurmp7GHAJ0Ek2hMiq1PbZIq9tZmbN02isp8/kbY+Iy3M2TwN6I2Jjeq5lZF1sX00Uqdstkl6pavse4PaIeCZtvx2YDnwnLx4zM2u+RkcUB6e/RwNTyU47AZwF3N+g7Rhgc8V6H3BcwbhqtR1TXUnSHGAOwPjx4ws+tZmZDUSjQQH/AUDSXcCUiHghrS8ABr0rRkQsBhYDdHZ21h3l1vYOzerd0+69hNotPo8NZY0UvZj9FuDFivUXU1meLcC4ivWxqayIPWlrZmZNVPQ+iquB+yXdlNbfB1zVoM0KYJKkiWQ/8rMoPj7UcuCLqacVwOnA3xVsa2ZmTVS019P/lHQrcGIqujAiftagzU5Jc8l+9IcBV0ZEj6SFwMqI6JI0FbgJOBQ4S9I/RMQxEfFMmgNjRXq6hf0Xts3MrLUa9Xo6JCKeT91VN6VH/7bDGv14R0Q30F1VNr9ieQXZaaVaba8ErmwQv5mZlazREcV1wJnAKl47JarSeqF7KszMbO/VqNfTmenvxNaEY2Zm7abRqacpedsjYnVzwzEzs3bT6NTTZTnbAjilibGYmVkbanTq6U9bFYiZmbWnRqeeTomIOyV9oNb2iPhuOWGZmVm7aHTq6U+AO8nGdqoWgBOFmdkQ1+jU0yXp74WtCcf2Rh4ryGxoKzTWk6TRkr6aJhlaJen/SBpddnBmZjb4ig4KuAzYCvw5MDMtX19WUGZm1j6KDgp4RER8vmL9C5I+VEZAZmbWXooeUdwmaZak/dLjg2SD/ZmZ2RDXqHvsC2S9mwR8Grg2bdoP2E7VXNdmZjb0NOr1dHDedrO9VbvNMtcuqveLe7EZFL9GQZpEaBJwYH9ZRNxVRlBmZtY+CiUKSX8BfIps7og1wPHAPXisJzOzIa/oxexPAVOBX6bxn/4YeK5RI0nTJW2Q1CtpXo3tIyRdn7bfJ2lCKt9f0lJJ6yQ9KMnToJqZDZKiiWJHROyA7Mc9Ih4Cjs5rIGkYsAg4A5gMnCtpclW1i4BnI+Io4Arg0lR+DjAiIt4GvBP4y/4kYmZmrVU0UfRJGgXcDNwu6XvALxu0mQb0RsTGiHiR7Ka9GVV1ZgBL0/KNwKmS+mfPe5Ok4cAbgBeB5wvGamZmTVToGkVEvD8tLpD0I2Ak8MMGzcYAmyvW+4Dj6tWJiJ2StgGjyZLGDOBx4I3AX9Wan1vSHGAOwPjx44v8U6zNuPeRWfsrekSBpCmSPgkcC/Slo4SyTANeBn4XmAj8taTd5ueOiMUR0RkRnR0dHSWGY2a27yo6KOB8slNEo4HDgW9L+vsGzbYA4yrWx6aymnXSaaaRwNPAh4EfRsRLEfEkcDfQWSRWMzNrrqJHFOcBUyPikjT0+PHA+Q3arAAmSZoo6QBgFtBVVacLmJ2WZwJ3RkQAj5G63kp6U3q9hwrGamZmTVQ0UfyKihvtgBHsfnTwGhGxE5hLNibUg8ANEdEjaaGks1O1JcBoSb3AZ4D+LrSLgIMk9ZAlnG9HxNqCsZqZWRM1Guvpa2Q9kLYBPZJuT+unAfc3evKI6Aa6q8rmVyzvIOsKW91ue61yMzNrvUa9nlamv6uAmyrK/72UaKytDXQmu2b1aHLPqObzPrWBaDQoYP89DqTrDG9Nqxsi4qUyAzMzs/ZQdKynk8l6PW0iG3J8nKTZHhTQzGzoKzp67GXA6RGxAUDSW4HvkA2vYWZmQ1jRXk/79ycJgIh4GNi/nJDMzKydFD2iWCXpW+ya4e48dl3oNjOzIaxoovgY8Angk2n9J8A/lhKRmZm1lYaJIg0X/kBE/AFwefkh2VDnrpm1DbT78Z48v9lANLxGEREvAxskeXhWM7N9UNFTT4eS3Zl9P/Dr/sKIOLt+EzMzGwqKJorPlRqFmZm1rUZjPR1IdiH7KGAdsCQN9mdmZvuIRtcolpLNA7GObO7ry0qPyMzM2kqjU0+TI+JtAJKWUGDEWDPbcx5Q0dpJoyOKVwf+8yknM7N9U6NE8XZJz6fHC8Cx/cuSnm/05JKmS9ogqVfSvBrbR0i6Pm2/T9KEim3HSrpHUo+kdel6iZmZtVijYcaHvd4nTjfqLSKb5KgPWCGpKyLWV1S7CHg2Io6SNAu4FPhQmj/7WuD8iHhA0mgqjm7MzKx1ig4K+HpMA3ojYmNEvAgsA2ZU1ZlBdsEc4EbgVEkCTgfWRsQDABHxdLrxz8zMWqzMRDEG2Fyx3pfKatZJ10C2AaPJJkgKScslrZb0N7VeQNIcSSslrdy6dWvT/wFmZlZuotgTw4ETyEapPQF4v6RTqytFxOKI6IyIzo6OjlbHaGa2TygzUWwBxlWsj01lNeuk6xIjgafJjj7uioinIuI3QDcwpcRYzcysjjITxQpgkqSJab7tWUBXVZ0uYHZangncGREBLAfeJumNKYH8CbAeMzNruaJjPQ1YROyUNJfsR38YcGVE9EhaCKyMiC5gCXCNpF7gGbJkQkQ8K+lysmQTQHdE+M4hM7NBUFqiAIiIbrLTRpVl8yuWdwDn1Gl7Lbtm1DMzs0HSrhezzcysTThRmJlZLicKMzPL5URhZma5nCjMzCyXE4WZmeVyojAzs1yl3kdhZkNf5Sx6m770Z02vb4PPRxRmZpbLicLMzHI5UZiZWS4nCjMzy+VEYWZmudzryZqqskeLDS3u3bTv8hGFmZnlcqIwM7NcpSYKSdMlbZDUK2leje0jJF2ftt8naULV9vGStku6uMw4zcysvtIShaRhwCLgDGAycK6kyVXVLgKejYijgCuAS6u2Xw7cWlaMZmbWWJlHFNOA3ojYGBEvAsuAGVV1ZgBL0/KNwKmSBCDpfcAvgJ4SYzQzswbK7PU0Bthcsd4HHFevTkTslLQNGC1pB/C3wGlA3dNOkuYAcwDGjx/fvMj3QkV6mFT3SHJPFDMrol0vZi8AroiI7XmVImJxRHRGRGdHR0drIjMz28eUeUSxBRhXsT42ldWq0ydpODASeJrsyGOmpC8Do4BXJO2IiK+XGK+ZmdVQZqJYAUySNJEsIcwCPlxVpwuYDdwDzATujIgATuyvIGkBsN1JwsxscJSWKNI1h7nAcmAYcGVE9EhaCKyMiC5gCXCNpF7gGbJkYmZmbaTUITwiohvoriqbX7G8AzinwXMsKCU4MzMrxGM9WS6P3bRvG+j778/L0NSuvZ7MzKxNOFGYmVkuJwozM8vlRGFmZrmcKMzMLJd7Pdlu3HPFzCr5iMLMzHI5UZiZWS4nCjMzy+VEYWZmuZwozMwsl3s9DUGt6LXknlH7tma9/wOdmdGzMg4OH1GYmVkuJwozM8tVaqKQNF3SBkm9kubV2D5C0vVp+32SJqTy0yStkrQu/T2lzDjNzKy+0hKFpGHAIuAMYDJwrqTJVdUuAp6NiKOAK4BLU/lTwFkR8TayqVKvKStOMzPLV+YRxTSgNyI2RsSLwDJgRlWdGcDStHwjcKokRcTPIuJXqbwHeIOkESXGamZmdZTZ62kMsLlivQ84rl6dNMf2NmA02RFFvz8HVkfEb6tfQNIcYA7A+PHjmxf5PsI9l6xd1fts1it3b6hytfXFbEnHkJ2O+sta2yNicUR0RkRnR0dHa4MzM9tHlJkotgDjKtbHprKadSQNB0YCT6f1scBNwEci4tES4zQzsxxlJooVwCRJEyUdAMwCuqrqdJFdrAaYCdwZESFpFHALMC8i7i4xRjMza6C0RBERO4G5wHLgQeCGiOiRtFDS2anaEmC0pF7gM0B/F9q5wFHAfElr0uPNZcVqZmb1lTqER0R0A91VZfMrlncA59Ro9wXgC2XGZmZmxbT1xWwzMxt8HhRwL+MurbY3KvK59We7ffmIwszMcjlRmJlZLicKMzPL5URhZma5nCjMzCyXez0NQL0pGfdkqsYyntPMMu3+/WqXOBrxEYWZmeVyojAzs1xOFGZmlsuJwszMcjlRmJlZLvd6SprV+6DI8wx0TBuPgWO25/ZkvKl27JHUyh5TPqIwM7NcThRmZpar1EQhabqkDZJ6Jc2rsX2EpOvT9vskTajY9nepfIOk95QZp5mZ1VdaopA0DFgEnAFMBs6VNLmq2kXAsxFxFHAFcGlqO5lsju1jgOnAP6bnMzOzFivziGIa0BsRGyPiRWAZMKOqzgxgaVq+EThVklL5soj4bUT8AuhNz2dmZi2miCjniaWZwPSI+Iu0fj5wXETMrajz81SnL60/ChwHLADujYhrU/kS4NaIuLHqNeYAc9Lq0cCGUv4xcDjwVEnPvScc18A4roFxXMW1Y0xQLK7fi4iOvAp7dffYiFgMLC77dSStjIjOsl9noBzXwDiugXFcxbVjTNC8uMo89bQFGFexPjaV1awjaTgwEni6YFszM2uBMhPFCmCSpImSDiC7ON1VVacLmJ2WZwJ3RnYurAuYlXpFTQQmAfeXGKuZmdVR2qmniNgpaS6wHBgGXBkRPZIWAisjogtYAlwjqRd4hiyZkOrdAKwHdgKfiIiXy4q1gNJPb71OjmtgHNfAOK7i2jEmaFJcpV3MNjOzocF3ZpuZWS4nCjMzy+VEUWFPhhwpMaZxkn4kab2kHkmfqlHnZEnbJK1Jj/llx5Ved5Okdek1V9bYLklfTftrraQpLYjp6Ir9sEbS85I+XVWnJftL0pWSnkz3C/WXHSbpdkmPpL+H1mk7O9V5RNLsWnWaHNdXJD2U3qebJI2q0zb3PS8hrgWStlS8V++t0zb3u9vkmK6viGeTpDV12pa5r2r+LpT2+YoIP7LrNMOAR4EjgQOAB4DJVXU+DnwjLc8Crm9BXEcAU9LywcDDNeI6GfjBIOyzTcDhOdvfC9wKCDgeuG8Q3tP/ILuhqOX7CzgJmAL8vKLsy8C8tDwPuLRGu8OAjenvoWn50JLjOh0YnpYvrRVXkfe8hLgWABcXeJ9zv7vNjKlq+2XA/EHYVzV/F8r6fPmIYpc9GXKkNBHxeESsTssvAA8CY8p8zSaaAVwdmXuBUZKOaOHrnwo8GhG/bOFrvioi7iLrzVep8jO0FHhfjabvAW6PiGci4lngdrIxz0qLKyJui4idafVesnuXWqrO/iqiyHe36TGl7/4Hge8047UGIud3oZTPlxPFLmOAzRXrfez+g/xqnfSl2gaMbkl0QDrV9cfAfTU2v0vSA5JulXRMi0IK4DZJq5QNp1KtyD4t0yzqf4kHY38BvCUiHk/L/wG8pUadwd5vHyU7Eqyl0XtehrnplNiVdU6lDNb+OhF4IiIeqbO9Jfuq6nehlM+XE8VeQtJBwL8Bn46I56s2ryY7vfJ24GvAzS0K64SImEI2QvAnJJ3UotdtSNlNnmcD/1pj82Dtr9eI7DxAW/VPl/RZsnuX/qVOlVa/5/8E/D7wDuBxslM97eJc8o8mSt9Xeb8Lzfx8OVHssidDjpRK0v5kH4Z/iYjvVm+PiOcjYnta7gb2l3R42XFFxJb090ngJnYf4Xcwh2I5A1gdEU9Ubxis/ZU80X/6Lf19skadQdlvki4AzgTOSz8yuynwnjdVRDwRES9HxCvAP9d5vZbvr/T9/wBwfb06Ze+rOr8LpXy+nCh22ZMhR0qTzoMuAR6MiMvr1Pmd/mslkqaRva+lJjBJb5J0cP8y2cXQn1dV6wI+oszxwLaKw+Ky1f3f3mDsrwqVn6HZwPdq1FkOnC7p0HSq5fRUVhpJ04G/Ac6OiN/UqVPkPW92XJXXtN5f5/WKfHeb7d3AQ5FGvq5W9r7K+V0o5/NVxhX5vfVB1kvnYbIeFJ9NZQvJvjwAB5KdyuglG3vqyBbEdALZ4eNaYE16vBf4GPCxVGcu0EPW2+Ne4L+0IK4j0+s9kF67f39VxiWyyaseBdYBnS16H99E9sM/sqKs5fuLLFE9DrxEdh74IrJrWncAjwD/Fzgs1e0EvlXR9qPpc9YLXNiCuHrJzlv3f8b6e/f9LtCd956XHNc16bOzluxH8IjquNL6bt/dsmJK5Vf1f54q6rZyX9X7XSjl8+UhPMzMLJdPPZmZWS4nCjMzy+VEYWZmuZwozMwslxOFmZnlcqKwIUPSy2mkzp40PMdfS9ovbeuU9NXBjhFA0ihJH9/D51go6d3Nisksj7vH2pAhaXtEHJSW3wxcB9wdEZcMbmSvlcbm+UFE/NFgx2JWhI8obEiKbNiEOWQDyknZHBQ/gOxubEn3SPqZpJ9KOjqVHyPp/nRUslbSpOrnVTbvwep0xHJHKjtM0s2pzb2Sjk3lC9JAdv8uaaOkT6an+RLw++l1viLpIEl3pOddJ2lGxet9Ttk8C/9P0nckXZzKr5I0My2fmv4t69LrjUjlX1I2X8FaSf8rlU2QdGcqu0PS+HLeARtSyrgj1Q8/BuMBbK9R9hzZCJonk+agAA5h19wL7wb+LS1/jWycI8jmNXhD1XN1kN29PDGtH1bR7pK0fAqwJi0vAH4KjAAOJ7tbfH9gAq+dc2E4cEhaPpzsblkBU8nuuD2QbM6BR0hzM5DdGTwzbdsMvDWVXw18muwO3Q3sOmswKv39PjA7LX8UuHmw3zc/2v/hIwrbF40E/lXZrGVXAP3DjN8D/A9Jf0s2uux/VrU7HrgrIn4BEBH98xScQDbUBBFxJzBa0iFp2y0R8duIeIpsgLZawz4L+KKktWTDLoxJ9f4r8L2I2BHZnAPfr9H2aOAXEfFwWl9KNtnONmAHsETSB4D+8ZveRXZKjhTzCfV2klk/JwobsiQdCbzM7iNofh74UWTXCM4i+185EXEd2dDk/wl0SzqlCWH8tmL5ZbKjh2rnkR2tvDMi3gE80R/T6xXZfCnTyCbYOhP44Z48n+3bnChsSJLUAXwD+HpEVPfYGMmuYZUvqGhzJLAxIr5KNurmsVXt7gVOkjQx1T8slf+E7MceSScDT8Xuc4ZUeoHsVFJlPE9GxEuS/hT4vVR+N3CWpAOVzTtwZo3n2gBMkHRUWj8f+HGqPzKyYdT/Cnh72v5TstFVSTH/JCdOM6D2/27M9lZvUDbR/f5kk+9cA9Qamv3LwFJJfw/cUlH+QeB8SS+RzQ72xcpGEbFV2Uxl303dbp8ETiO7FnFlOnX0G3YN81xTRDwt6e506utWsjmqvy9pHbASeCjVWyGpi2yE0CfIRlHdVvVcOyRdSHYqbTjZkNvfIJsP+XuSDiQ7tfWZ1OS/Ad+W9N+BrcCFebGagbvHmrU1SQdFxHZJbwTuAuZEmivZrFV8RGHW3hZLmkx2zWKpk4QNBh9RmJlZLl/MNjOzXE4UZmaWy4nCzMxyOVGYmVkuJwozM8v1/wF4GO68sToPmAAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "s = np.random.normal(8.7, 3, 1000)\n",
-    "plt.hist(s, density=True, bins=100)\n",
+    "s_c = np.random.normal(8.7, 3, 1000)\n",
+    "plt.hist(s_c, density=True, bins=100)\n",
     "plt.ylabel('Probabilidad')\n",
     "plt.xlabel('Dias contagioso');"
    ]
@@ -312,6 +364,184 @@
     "- Producir una figura del numero de personas infectadas como funcion de tiempo, la figura debe incluir intervalos de confianza ([ejemplo de la figura esperada](https://medium.com/data-for-science/epidemic-modeling-103-adding-confidence-intervals-and-stochastic-effects-to-your-covid-19-models-be618b995d6b)).\n"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Usnado las anteriores distribuciones, se incluye incertidumbre en los parámetros \n",
+    "gamma = 1/s_c\n",
+    "beta = s_R0*gamma"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Se resuelve el modelo para los nuevos parámetros con incertidumbre, se obtienen arreglos para población\n",
+    "#susceptible, infectada y recuperada de tamaño 1000 (escenarios simulados) x 180 (los días que se simulan).\n",
+    "S = []\n",
+    "I = []\n",
+    "R = []\n",
+    "\n",
+    "for i in range(0,1000):\n",
+    "    soln = odeint(deriv, x_inicial, t, args=(beta[i], gamma[i]))\n",
+    "    s,i,r = soln.T\n",
+    "    S.append(s)\n",
+    "    I.append(i)\n",
+    "    R.append(r)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 864x432 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Gráficos para los promedios de cada día, redefino la función para graficar para no incluir el 3er subplot\n",
+    "\n",
+    "r = np.mean(R, axis = 0)\n",
+    "\n",
+    "def plotdata_01(t, s, i, e=None):\n",
+    "    # plot the data\n",
+    "    fig = plt.figure(figsize=(12,6))\n",
+    "    ax = [fig.add_subplot(221, axisbelow=True), \n",
+    "          fig.add_subplot(223)]\n",
+    "\n",
+    "    ax[0].plot(t, s, lw=3, label='Fracción Susceptible')\n",
+    "    ax[0].plot(t, i, lw=3, label='Fraction Infectada')\n",
+    "    ax[0].plot(t, r, lw=3, label='Recuperadas')\n",
+    "    ax[0].set_title('Poblaciones Susceptibles y Recuperadas')\n",
+    "    ax[0].set_xlabel('Dias')\n",
+    "    ax[0].set_ylabel('Fracción')\n",
+    "\n",
+    "    ax[1].plot(t, i, lw=3, label='Infección')\n",
+    "    ax[1].set_title('Población infecciosa')\n",
+    "    if e is not None: ax[1].plot(t, e, lw=3, label='Expuesta')\n",
+    "    #ax[1].set_ylim(0, 0.3)\n",
+    "    ax[1].set_xlabel('Dias')\n",
+    "    ax[1].set_ylabel('Fracción')\n",
+    "    \n",
+    "    for a in ax: \n",
+    "        a.grid(True)\n",
+    "        a.legend()\n",
+    "\n",
+    "    plt.tight_layout()\n",
+    "    \n",
+    "plotdata_01(t, np.mean(S, axis = 0), np.mean(I, axis = 0))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "El día 120 hay 0.01 infectados\n"
+     ]
+    }
+   ],
+   "source": [
+    "#Infectados en el día 120\n",
+    "\n",
+    "inf_120 = round(np.mean(I, axis = 0)[119], 2)\n",
+    "\n",
+    "print('El día 120 hay ' + str(inf_120) + ' infectados')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Ahora, el gráfico de personas Infectadas vs tiempo con intervalo de confianza del 95%"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import scipy.stats\n",
+    "\n",
+    "#Función que calcula intervalos de confianza\n",
+    "\n",
+    "def mean_confidence_interval(data, confidence=0.95):\n",
+    "    a = 1.0 * np.array(data)\n",
+    "    n = len(a)\n",
+    "    m, se = np.mean(a, axis = 0), scipy.stats.sem(a, axis = 0)\n",
+    "    h = se * scipy.stats.t.ppf((1 + confidence) / 2., n-1)\n",
+    "    return m, m-h, m+h"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "m, m_minus, m_plus = mean_confidence_interval(I, 0.95)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Infected population [%]')"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Gráfico \n",
+    "\n",
+    "I_mean = np.mean(I, axis = 0)\n",
+    "\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(t,I_mean)\n",
+    "ax.fill_between(t, m_minus, m_plus, color='b', alpha=.1) #Para el intervalo de confianza\n",
+    "ax.set_xlabel('Time [days]')\n",
+    "ax.set_ylabel('Infected population [%]')"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -332,12 +562,409 @@
     "- Discutir las limitaciones de sus modelos, y qué tanta confianza tienen en la recomendación que han dado al gobierno.  "
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Escenario 1\n",
+    "\n",
+    "Para reducir $R_0$ a un valor cercano a 1, es necesario ver su dependencia:\n",
+    "\n",
+    "$$R_0 = \\beta / \\gamma.$$\n",
+    "\n",
+    "$R_0$ es directamente proporcional a $\\beta$, que es la velocidad asociada a la transmisión de la infección, reducir este parámetro disminuye $R_0$, y esto es lo que se desea. Para esto, el nuevo modelo propuesto reemplaza $\\beta$ por $(1-n)\\beta$, donde $n$ es el confinamiento del cual se habla en este escenario. $n=1$ representa un confinamiento absoluto de la población, con lo que la infección no puede ser transmitida, $n=0$ implica no confinamiento.\n",
+    "\n",
+    "Teniendo lo anterior en cuenta, se replantea el sistema de ecuaciones diferenciales:\n",
+    "\n",
+    "\\begin{align*}\n",
+    "\\frac{ds}{dt} & = -(1-n)\\beta s i \\\\\n",
+    "\\frac{di}{dt} & = (1-n)\\beta s i - \\gamma i \\\\\n",
+    "\\frac{dr}{dt} & = \\gamma i\n",
+    "\\end{align*} "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def deriv_01(x, t, beta, gamma, n):\n",
+    "    s, i, r = x\n",
+    "    dsdt = -(1-n) * beta * s * i\n",
+    "    didt = (1-n) * beta * s * i - gamma * i\n",
+    "    drdt =  gamma * i\n",
+    "\n",
+    "    return [dsdt, didt, drdt]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Retomo los parametros que se establecieron inicialmente para este modelo determinista."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# parametros \n",
+    "R0 =  2.4\n",
+    "t_infectividad = 8.4\n",
+    "n = 0.3                    # para exactamente R_0 = 1 ---> n = (1.4 / 2.4) approx 0.5833333\n",
+    "\n",
+    "# initial number of infected and recovered individuals\n",
+    "i_inicial = (1/20000)\n",
+    "r_inicial = 0.00\n",
+    "s_inicial = (1 - i_inicial - r_inicial)\n",
+    "\n",
+    "gamma = 1/t_infectividad\n",
+    "beta = R0*gamma\n",
+    "\n",
+    "x_inicial = s_inicial, i_inicial, r_inicial\n",
+    "\n",
+    "#Aumento el intervalo temporal, ya que la curva de infección se va a suavizar.\n",
+    "t_01 = np.linspace(0, 230, 230)\n",
+    "\n",
+    "\n",
+    "# usamos la funcion odeint de scipy para resolver numéricamente ecuaciones diferenciales\n",
+    "soln = odeint(deriv_01, x_inicial, t_01, args=(beta, gamma, n))\n",
+    "s, i, r = soln.T"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 864x432 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plotdata_01(t_01,s,i)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Probando con la distribución sugerida en la nota del ejercicio 2 para este escenario."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "R0_01 = np.random.lognormal(-0.1, 0.15, 1000)\n",
+    "plt.hist(R0_01, density=True, bins=100)\n",
+    "plt.ylabel('Probabilidad')\n",
+    "plt.xlabel('R0');"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 864x432 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Tomando esta distribución se obtiene\n",
+    "\n",
+    "gamma = 1/s_c\n",
+    "beta = R0_01*gamma\n",
+    "\n",
+    "S = []\n",
+    "I = []\n",
+    "R = []\n",
+    "\n",
+    "for i in range(0,1000):\n",
+    "    soln = odeint(deriv, x_inicial, t, args=(beta[i], gamma[i]))\n",
+    "    s,i,r = soln.T\n",
+    "    S.append(s)\n",
+    "    I.append(i)\n",
+    "    R.append(r)\n",
+    "\n",
+    "plotdata_01(t,np.mean(S, axis = 0), np.mean(I, axis = 0))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Lo anterior puede no ser claro inicialmente, sin embargo si notamos que la media de la distribución usada para RO es menor a 1, de acuerdo a la información proporcionada al inicio de este notebook, esto impide que la infección se propague rápidamente, como una epidemia. Se puede ver que en el periodo de tiempo dado, la población que se ha infectado es muy pequeña y no se alcanza a ver un pico absoluto de infección."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Continuando con el escenario 1, se ignora la distribución propuesta y se usan mismas distribuciones del ejercicio 1 para $R_0$ y $\\tau_{infectividad}$, junto con el nuevo sistema de ecuaciones deferenciales deriv_01 (que tienen en cuenta el confinamiento dado por el parámetro n) y el nuevo intervalo temporal t_01."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
    "metadata": {},
    "outputs": [],
-   "source": []
+   "source": [
+    "gamma = 1/s_c\n",
+    "beta = s_R0*gamma\n",
+    "\n",
+    "S = []\n",
+    "I = []\n",
+    "R = []\n",
+    "\n",
+    "for i in range(0,1000):\n",
+    "    soln = odeint(deriv_01, x_inicial, t_01, args=(beta[i], gamma[i], n))\n",
+    "    s,i,r = soln.T\n",
+    "    S.append(s)\n",
+    "    I.append(i)\n",
+    "    R.append(r)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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VoVGjRmX+3KppautrvChaJwXTeslP6yS/8qiToj6DtGufUkoppZRSSpWSJlJKKaWUUkopVUpeSaRE5D0ROSYiGwvZLiLyiojsFJENItKtsmNUSimllFJKqcJ46xqpWcBrwIeFbL8UOM+eegNv2I8VwhjD+rhEDidncex0GqGBfgT6+SAiFXVKpZRSSinlJZmZmcTFxZGWlubtUMpNWFgYW7Zs8XYYVUpp6iQwMJDmzZvj5+dX4vK9kkgZY5aISOsidhkNfGism1z9JiLhItLEGHO4IuI5k+HiyteXWwvLfgbA10cIDfQlOMCXQD8HQX4OQgJ8qRfsR3gdf+rV8aNeHX/3vOe6sCA/fHw0CVNKKaWUqori4uIIDQ2ldevWNeaH86SkJEJDQ70dRpVS0joxxhAfH09cXBxt2rQpcflVddS+ZsABj+U4e12uREpEbgNuA2v0o5iYmLM62cm0rHzrnFmGUymZnErJLHV5AtTxg4hAHxoECQ3rCA3q+NCojg8t6/pQ17/6/4NNTk4+6/quTbSeSkbrqWS0npRSqnykpaXVqCRKlY2IEBkZyfHjx0t1XFVNpErEGDMTmAnQo0cPc7bDG8adSqHLzrUcPXkal48fp9OcZDjzJ1cljgs4kwlnMrM4kJR/e5OwQDo3C6NXmwj6nhvJBY3rVrsWLB1is2S0nkpG66lktJ6UUqr8aBKlPJ3N66GqJlIHgRYey83tdRWieb06LJw6INeXlHSni6Q0J6kZLlIzXaRkuDidmsmplAwSUnIeE1IyOOXxeColg6Q0Z5HnO5yYxuHENBZtPgpAeB0/hrVryEUdGjHo/AYEB1TVP4tSSimllFIKqm4itRCYKiJzsAaZSKyo66MKE+DrICDEcVbHZrqySEjJ5GBCKvviz3DgZAr7T6aw/WgyWw6fJj1Pa1dCSibz1x1k/rqD+Pv6MLBtfS7r3IRLOzemjn9V/RMppZRSSqmzkZCQwCeffMKdd97plfPHxMTg7+9Pv379SnXcwoUL2bx5Mw8//PBZnXfIkCG8+OKL9OjR46yOL0/9+vVjxYoVZSrDK9/SReRTYAhQX0TigKcAPwBjzJvAd8BlwE4gBbjJG3GeLT+HDw1CA2gQGkB0i/Bc25yuLHYeT2bNvlP8tvskK3fFcyI53b09w5nFz1uP8fPWYzy1cBNXdGnCNT2a061lPW2CVkoppZSqARISEvjvf/9bYCLldDrx9a3Yr+gxMTGEhISUKpFyOp2MGjWKUaNGVWBklaesSRR46T5SxpjrjDFNjDF+xpjmxph3jTFv2kkUxnKXMeZcY0xnY8xqb8RZEXwdPrRvXJcJvVvx6nVdWfXYcL6eOoBpw9rSvnHuUUWS053MWXWAq99YyYUv/cpHv+0jNcPlpciVUkoppVR5ePjhh9m1axfR0dE88MADxMTEMHDgQEaNGkWHDh0AuPLKK+nevTsdO3Zk5syZALz33nvce++97nLefvtt/vrXvwIwZ84cevXqRXR0NLfffjsul/Wd8YcffqBbt25ERUUxfPhw9u7dy5tvvsl//vMfoqOjWbp0KXv37mXYsGF06dKF4cOHs3//fgAmT57MHXfcQe/evXnwwQeZNWsWU6dOBeDrr7+md+/edO3alQsvvJCjR4/me56pqalce+21XHDBBYwZM4bU1FT3tkWLFtG3b1+6devGNddcQ3Jycr7jX3nlFTp06ECXLl249tpr823v06cPmzZtci8PGTKE1atX8+uvvxIdHU3//v3p2rUrSUn5By0ICQkp+o9UAtpvzMtEhM7Nw+jcPIz7Lm7H/vgUvv3zMJ+tOcDu42fc++06foYnvtzIS4u2MbFva/7SvzXhdfy9GLlSSimlVPXX+uFvK6zsvc9dXuD65557jo0bNxIbGwtYLURr165l48aN7uG333vvPSIiIkhNTaVnz55cffXVjBs3jmeffZYXXngBPz8/3n//fd566y22bNnC/PnzWb58OX5+ftx5553Mnj2bSy+9lFtvvZUlS5bQpk0bTp48SUREBHfccQchISHcf//9AIwcOZJJkyYxadIk3nvvPaZNm8aXX34JWEPFr1ixAofDwaxZs9zPYcCAAfz222+ICO+88w7PP/88//73v3M9zzfeeIM6deqwZcsWNmzYQLdu3QA4ceIEzzzzDD/99BPBwcH83//9Hy+99BJPPvlkvnras2cPAQEBJCQk5KvH8ePHM2/ePP7+979z+PBhDh8+TI8ePRg5ciSvv/46Xbp0QUQIDAws7Z+uRLzSIqUK1zKyDlOGnMvP9w3miyn9uLZnC0I8Bp84lZLJKz/vYOD/LebVn3eQnF70wBZKKaWUUqrq69WrV657GL3yyitERUXRp08fDhw4wI4dOwgJCWHYsGF88803bN26lczMTDp37szPP/9MbGwsPXv2JDo6mp9//pndu3fz22+/MWjQIHe5ERERBZ575cqVXH/99QBMnDiRZcuWubddc801OBz5xw2Ii4tjxIgRdO7cmRdeeCFXy1C2JUuWcMMNNwDQpUsXunTpAsBvv/3G5s2b6d+/P9HR0XzwwQfs27cv3/FdunRhwoQJfPzxxwV2dxw3bhyff/45APPmzWPs2LEA9O/fn/vuu4833niDhISECusqqYlUFSUidG9Vj+eu7sLvjw7nqZEdaF4vyL09Kd3Jv/+3ncHPL+aT3/fjyjJejFYppWouEXlPRI6JyMZCtouIvCIiO0Vkg4h0q+wYlVLVX3BwsHs+JiaGn376iZUrV7J+/Xq6du1KWloaALfccguzZs3i/fff56abrGEEjDFcf/31xMbGEhsby7Zt25g+fXq5x+Xp7rvvZurUqfz555+89dZb7vhKwhjDRRdd5I538+bNvPvuu/n2+/bbb7nrrrtYu3YtPXv2xOnM3YDQrFkzIiMj2bBhA3PnzmX8+PGA1XXynXfeIS0tjf79+7N169ZSPOOS06591UBwgC839W/DxD6t+PbPw8z4eYe721/8mQweXfAnn/6xn+mjOtK9VT0vR6uUUjXOLOA14MNCtl8KnGdPvYE37EelVDVQWPe7ihQaGlrgdTvZEhMTqVevHnXq1GHr1q389ttv7m29e/fmwIEDrF27lg0bNgAwfPhwRo4cyUMPPUTDhg05efIkSUlJ9OnThzvvvJM9e/bk6toXGhrK6dOn3WX269ePOXPmMHHiRGbPns3AgQOLfQ6JiYk0a9YMgA8++KDAfQYNGsQnn3zCsGHD2LhxozvePn36cNddd7Fz507atm3LmTNnOHjwIOeff7772KysLA4cOMDQoUMZMGAAc+bMITk5mfDw8FznGD9+PM8//zyJiYnuFq9du3bRuXNnWrduzYYNG9i6dSvt27cv9jmVlrZIVSO+Dh9GRzdj0b2DeH5sF5qF57RQ/XkwkavfWMFjC/7U7n5KKVWOjDFLgJNF7DIa+NAeKOk3IFxEmlROdEqp6igyMpL+/fvTqVMnHnjggXzbL7nkEpxOJxdccAEPP/wwffr0ybV93Lhx9O/fn3r1rB/QO3TowBNPPMHFF19Mly5duOiiizh8+DANGjRg5syZXHXVVURFRblbbEaOHMmCBQvcg028+uqrvP/++3Tp0oWPPvqIGTNmFPscpk+fzjXXXEP37t2pX79+gftMmTKF5ORkLrjgAp588km6d+8OQIMGDZg1axbXXXcdXbp0oW/fvvlajVwuFzfccAOdO3ema9euTJs2LV8SBTB27FjmzJnDuHHj3OtefvllOnXqRN++ffHz8+PSSy8t9vmcDTGmZnQJ69Gjh1m9umyD+3nekLc6SMt08UbMLt78dVeue1M1Cw/iX1d1ZtD5DSrs3NWtrrxF66lktJ5KprbWk4isMcZ49aYjItIa+MYY06mAbd8AzxljltnLPwMPFTTirIjcBtwG0KBBg+7z5s2r0Lirm+Tk5HIZSasm0TopWFnrJSwsjLZt25ZjRJXrmmuu4a677sr1meByuQq8lqk2K22d7Ny5k8TExFzrhg4dWuhnkHbtq8YC/Rz89aLzGdu9OX//ehM/bTkGwMGEVG587w9u7NuKRy+7gEA//UellFJVgTFmJjAToF27dqY2JsZFqa0/FhSlwDpZ/K+c+aGPVGo8VUVZXytbtmwhNDS0+B2rmISEBHr16kVUVBQjR47MtS0pKalaPqeKVNo6CQwMpGvXriXeXxOpGqBFRB3evrEHC9cfYvrCTZxKyQTgw5X7+GPPSV67vittG+o/rKrIleUi3ZXunjJcGe7HNFca6a50nFlOXFkuXMaF0zjJysqy5rOcZJnC553GejTGYDBktz5nz2f/Z/2fe12B+9qPgFVunv3K4tCJQ/yy/JezOras5y5Lq3xZz11aR04c4X/L/lep5ywPA5oN4NI2FdOtooo4CLTwWG5ur1OqYvz6XM58LU2kaqvw8HC2b9/u7TCUTROpGkJEGB3djP5t6/Po/D9ZtNm6KdrWI0mMfHU500d1YFyPFoiIlyOteVIyU4hPi+dk2klOpp7kZNpJ4tPiSUxPZEf8Dr6O+ZrkzGRryrAez2SeId2ZjtPo9WxuO70dQDWxy9sBlF5EYERNT6QWAlNFZA7WIBOJxpjDXo5JKaVUBdNEqoapHxLAWxO78/Hv+/nHN5vJcGaRmunioS/+ZPnOeJ67ujN1/PXPXhquLBf7k/az7/Q+DiYftKYk6/FQ8iGSMgsfdQeA/DfqVkpVIyLyKTAEqC8iccBTgB+AMeZN4DvgMqyfA1KAm7wTqVJKqcqk36hrIBFhYp9W9Gxdj6mfrGPnMeub/ML1h9h+NIm3JnanVWTB9wSo7TKzMtkav5XY47FsP7Wd7ae2sythF+mu9Ao5nyAE+gbi7/AnwCcAf4d/zrLDWvb18cVP/PARHxw+DnzFF4ePAx/xwdfHF4fknneIw73dIQ4Ewfrf/k9yHrNjcK8rbL3HOh/xyb3O49iztW3btjINS1qWc5dVWVp5Sxt3RQ3fWtHahlffC7oBjDHXFbPdAHdVUjhKKaWqCE2karD2jevy9dQB/P3rTcxZdQCwuvqNem05r1zXlcEVOKpfdZGZlUnssVj+OPIHa4+uZcPxDaS5Sn5DOQA/Hz8igyKJDIwkIjCCiMAIIoMiCQ8I59CeQ3Tv1J1gv2BC/UPdj3X86hDkG4Sv+Gp3SyDmUAxDzhvi7TCqvLC4MIa0HeLtMJRSSimFJlI1XpC/g+eu7kLXluE88eUmMlxZJKZmMvn9P7j/4nbcOeTcWvdFPtWZyq8HfuXn/T+z/ODy4rvmAQ2DGnJO+Dk0D21Os5Bm7qlpSFMiAyMLrcOYEzEMaTOkfJ+AUkoppWqU6dOnExISwv3338+TTz7JoEGDuPDCCwGYM2cOu3bt4rHHHst1TOvWrVm9ejW+vr588sknTJw4scxxpKenc+ONN7JmzRoiIyOZO3curVu3LnO5NZUmUrXE+J4tade4Lnd8tIYjp9MwBl74cRvbjybxf1d3qfFDpBtjWH10NV/u/JKf9//Mmcwzhe7bLKQZXRt2pVP9Tpxf73zOCz+P8MDwygtWKaWUUrXW008/nWv5+++/Z9q0aYXun5CQwH//+99ySaTeffdd6tWrx86dO5kzZw4PPfQQc+fOLXO5NZUmUrVIdItwvr57AHfNXssfe08C8FXsIeJOpTJzYnciQwK8HGH5S3Om8d2e75i9ZTbbTxU8XGjj4MYMajaIno17Et0wmsbBjSs5SqWUUkrVNs8++ywffPABDRs2pEWLFnTv3h2AyZMnc8UVVzB27FiMMcTGxtKtWzfi4+O57rrrOHjwIH379nXfvuPhhx9m165d9O/fnxEjRvDCCy+cdUxfffUV06dPB2Ds2LFMnToVY0yt671UUppI1TINQgOYfWtvnlq4iU9+3w/Amn2nuPK/y3lvUk/Oa1Qz7jeV4crgs+2f8faGt4lPi8+3vXXd1lx2zmUMazGM8+udr28QSimlVG22+F+5789VlG6TYNQrudctnAZrP8hZHvxwkff4WrNmDXPmzCE2Nhan00m3bt3ciZSndevWERUVhYjw97//nQEDBvDkk0/y7bff8u677wLw3HPPsXHjRpYvX17gzWcHDhxIUlL+yxhefPFFd/fBbAcPHqRFC+u2eL6+voSFhREfH0/9+vULfS61mSZStZCfw4dnr+zEOfWDefa7LRgDB06mctUbK/jvhG4MPK/6DkKRZbJYuGshr8e+zpEzR3JtC/INYuQ5Ixlz3hg6RnbU5EkppZRSXrF06VLGjBlDnTp1ABg1alSB+/3www9ceql1H74lS5Ywf/58AC6//HLq1atX4nOpiqGJVC0lItwy8BxaRwYzbc46UjJcJKU5mfz+Kp4e3ZEJvVt5O8RS23lqJ//47R+sPbY21/qGdRpyY4cbubLtlYQFhHkpOqWUUqqcdJvk7QhUJVm0aBFffPFFmcooTYtUs2bNOHDgAM2bN8fpdJKYmEhkZGSZzl+TaSJVy13YoRGf3dGXm2et5sjpNFxZhscWbGR/fAoPXdIeH5+q32qTmZXJW+vf4t0/38VpnO71EYER3NL5Fsa1G0eAo+Zd/6WUUqqWytutTJXd0EeK7IpXrFGvlOrvMmjQICZPnswjjzyC0+nk66+/5vbbb8+1T2JiIk6n053IDBo0iE8++YTHH3+c77//nlOnTgEQGhpaYKKUrTQtUqNGjeKDDz6gb9++fP755wwbNkx78BTBxxsnFZFLRGSbiOwUkYcL2N5SRBaLyDoR2SAil3kjztqiY9Mwvpran07N6rrXvbVkN3+dF0u60+XFyIp3OPkwf/nhL7y14S13EuUrvtzc6Wa+v+p7JnaYqEmUUkoppaqUbt26MX78eKKiorj00kvp2bNnvn3+97//5Woxeuqpp1iyZAkdO3Zk/vz5tGzZEoDIyEj69+9P7969eeCBB8oU180330x8fDxt27blpZde4rnnSnjdWC1V6S1SIuIAXgcuAuKAVSKy0Biz2WO3x4F5xpg3RKQD8B3QurJjrU0a1Q1k3u19mfbpOn7acgywRvQ7djqdNyd2JyzIz8sR5hdzIIbHlj3G6YzT7nVdG3bliT5PcF6987wXmFJKKaVUMR577LF894YCmDVrFgC33HILt9xyi3t9ZGQkixYtKrCsTz75hKSkpAIHmyiNwMBAPvvsszKVUZt4o0WqF7DTGLPbGJMBzAFG59nHANnNI2HAoUqMr9aq4+/Lmzd0Z0Lvlu51K3fHM+7NlRxKSPViZPl9tPkjpv0yzZ1EOcTBvd3uZdYlszSJUkoppVS1984779CnTx9vh6GK4I1rpJoBBzyW44DeefaZDiwSkbuBYOBCCiAitwG3ATRq1IiYmJgyBZacnFzmMmqCC8MN6ef78fn2TAC2HU3i8v8s5r4egbQItXJvb9VVlsniy1NfsjhpsXtdPUc9JtefzDnx57Dk1yWVHlNR9DVVMlpPJaP1pJQCrKG2s+n1Ukp5TVUdbOI6YJYx5t8i0hf4SEQ6GWOyPHcyxswEZgL06NHDDBkypEwnjYmJoaxl1BRDh0L/dXE8+PkGMl2GU+mG51dn8tbE7vRrW98rdeXMcvLo0kdzJVHRDaJ5Zdgr1Ass2RCglU1fUyWj9VQyWk9KKSD3/Yo0kVLKa7zRte8g0MJjubm9ztPNwDwAY8xKIBDQO4FVsjFdmzPrpl6EBFj5dlK6k0nv/8GX6/L+uSpelsni8eWP8/3e793rhrccztsXv11lkyillFJKKVVzeSORWgWcJyJtRMQfuBZYmGef/cBwABG5ACuROl6pUSoA+retz7zb+9KorjXyXabLcO/cWL7ZnYExplJiMMbwj9/+wbe7v3WvG99uPP8e/G8CfQMrJQallFJKKaU8VXoiZYxxAlOBH4EtWKPzbRKRp0Uk+7bOfwNuFZH1wKfAZFNZ39pVPh2a1mXBnf05v1GIe93n2zN58qtNuLIq/s/y79X/5vPtn7uXx50/jsd6P4bDx1Hh51ZKKaVU7Xbg9AGe+e0Z+nzShy4fdKHPJ3145rdnOHD6QPEHV1Pz5s1j79693g6jyvPKfaSMMd8ZY843xpxrjHnWXvekMWahPb/ZGNPfGBNljIk2xhQ81qOqNE3Dg/jsjn70OSfCve6j3/Zxx8drSM2ouHtNfbb9Mz7YnNMXfOQ5I3msz2N6czillFJKVbilcUu56uur+GL7F5zJPIPBcCbzDF9s/4Krvr6KpXElv9ltXkeOHOHaa6/l3HPPpXv37lx22WVs3769zDHHxMRwxRVXALBw4cJi7wXVr1+/XMsff/wx+/bto3Xr1qU67+TJk/n888+L3Ods4ilISEhIsftUBq8kUqp6Cgvy44O/9GJkVFP3uv9tPsr17/zGyTMZ5X6+dcfW8c/f/+leHt5yOE/3fxof0ZetUkoppSrWgdMHuO/X+0hzpuE0zlzbnMZJmjON+36976xapowxjBkzhiFDhrBr1y7WrFnDv/71L44ePVpe4QMwatQoHn744SL3WbFiRa7lG264ocw39i3PeKoy/UaqSiXA18GM8dFc2ibnBr3r9idw9Rsr2Bd/ptzOc+TMEf66+K84s6w3rvYR7fnXwH/h61NVB5pUSimlVE3yweYPcLqcRe7jdDn5cPOHpS578eLF+Pn5cccdd7jXRUVFMXDgQIwxPPDAA3Tq1InOnTszd+5cIGfk1rFjx9K+fXsmTJjgvl79hx9+oHv37nTr1o358+e7y5w1axZTp04F4OjRo4wZM4aoqCiioqLcCUt2687ZnLcwrVu35qmnnqJbt2507tyZrVu3ljqe5ORkhg8f7i7jq6++KnU9VzRNpFSp+fgI49v5M31kB7J72O05cYar/ruCtftPlbn8TFcmf138V+LT4gGoF1CPGUNnEOQbVOaylVJKKaVK4pvd3+RricrLaZx8s/ubUpe9ceNGunfvXuC2+fPnExsby/r16/npp5944IEHOHz4MADr1q3j5ZdfZvPmzezevZvly5eTlpbGrbfeyty5c1mzZg1HjhwpsNxp06YxePBg1q9fz9q1a+nYsWOZzluc+vXrs3btWqZMmcKLL75Y6ngCAwNZsGABa9euZfHixfztb3+rtIHOSkoTKXXWJvdvwxsTuhHga72M4s9kcN3M3/hh4+EylfvG+jfYGL8RAIc4+PeQf9M0pGkxRymllFJKlZ+UzJQS7Xcms/x65AAsW7aM6667DofDQaNGjRg8eDCrVq0CoFevXjRv3hwfHx+io6PZu3cvW7dupU2bNrRt2xYR4YYbbiiw3F9++YUpU6YA4HA4CAsLK9N5i3PVVVcB0L179wL3Ly4eYwyPPvooXbp04cILL+TgwYPl3vWxrDSRUmVySacmfHJrb+rVsbr6pTuzmDJ7Le8s3X1WvxrEHovl3Y3vupf/2v2v9Gzcs9ziVUoppZQqiTp+dUq0X7BfcKnL7tixI2vWrCn1cQEBAe55h8OB01l0i1l5OZvzZh9ztnHOnj2b48ePs2bNGmJjY2nUqBFpaWmlLqciaSKlyqx7qwgW3Nmf1pHWG44x8My3W5i+sHTDo6dkpvDoskfJMlkA9Grci4kdJlZIzEoppVS1NfjhnElVmCvOuQJfKfrabF/x5Ypzrih12cOGDSM9PZ2ZM2e6123YsIGlS5cycOBA5s6di8vl4vjx4yxZsoRevXoVWlb79u3Zu3cvu3fvBuDTTz8tcL/hw4fzxhtvAOByuUhMTMy1vbTnLavi4klMTKRhw4b4+fmxePFi9u3bV2GxnC1NpFS5aF0/mPl39qdHq3rudR+s3MftH60mJaNkv0L8e/W/OZBkjXwT4hfCM/2f0RH6lFJKqbyGPpIzqQozqcMkfB3FJFIOX27scGOpyxYRFixYwE8//cS5555Lx44deeSRR2jcuDFjxoyhS5cuREVFMWzYMJ5//nkaN25caFmBgYHMnDmTa665hm7dutGwYcMC95sxYwaLFy+mc+fOdO/enc2bN+faXtrzllVx8UyYMIHVq1fTuXNnPvzwQ9q3b19hsZwtqWoXbZ2tHj16mNWrV5epjOxRSVTxCqurtEwXf/tsPd9uyLlOqnOzMN6d3IOGoYGFlrf26Fom/TDJvfzsgGcZde6oQvevLvQ1VTJaTyVTW+tJRNYYY3p4O47y1q5dO7Nt2zZvh1Gl1NbXeFG0TgpW1nrZsmULF1xwQbH7LY1byn2/3ofT5cw18ISv+OLr8OWlwS8xsPnAs46jPCUlJREaGurtMKqU0tZJQa+Loj6D9Od+Va4C/Ry8em1X7hh8rnvdnwcTGfP6CrYfTSrwGFeWK9f9ooa2GMrIc0ZWeKxKKaWUUkUZ2Hwg80fOZ+z5YwnxC0EQQvxCGHv+WOaPnF9lkijlHXpTHlXufHyEhy9tT4uIIJ78yrpO6mBCKle/sYI3b+hO/7b1c+3/2fbP2HbK+lU20BHIw70eRrLHVVdKKaWU8qIWdVvwWJ/HeKzPY94ORVUx2iKlKsyE3q14Z1IPgv0dACSlObnxvT/4aOVe9z4n007yyrpX3Mu3dL5FhzpXSimlivLJ+JxJKeU1mkipCjW0XUPm3dGXRnWtITBdWYYnvtrE41/+SaYri1fWvkJShtXlr0VoCyZ3muzFaJVSSqlqYPsPOZNSymu0a5+qcB2bhvHVXQO47aPVbIizhrb8+Lf9bDq+nV3+8937PdzrYQIcAYUVo6q5zMxM4uLiCrwHRFhYGFu2bPFCVNVLTa+nwMBAmjdvjp+fn7dDUUoppYqliZSqFI3DApl3e18e+HwDX68/BMCWtM/w87dGjRzQbACDmg/yZoiqgsXFxREaGkrr1q3zXQOnIw2VTE2uJ2MM8fHxxMXF0aZNG2+Ho5RSbhn79xP//vucXvg1WSkp+NSpQ91RI4m86Sb8W7b0dngVYt68efTq1YvWrVt7O5QqTbv2qUoT6OfglWujeWBEO3wC4/Cru8m9rU/4BC9GpipDWloakZGROpCIKpCIEBkZWeXuWq+Uqt2Slyxh9+grSfjsc7LOnAFjyDpzhoTPPmf36CtJXrLkrMs+cuQI1157Leeeey7du3fnsssuY/v27WWOOSYmhiuusG4SvHDhQp577rki9+/Xr1+u5Y8//ph9+/aVOomaPHkybdq0ITo6mujoaF555RWefPJJfvrpp1KVk83zeVRV2iKlKpWIcNfQtsQk/JOtp611mac7M/2LRFKSd3HH4HP0i3YNpn9bVRR9fSilqpKM/fuJu+deTGpq/o1OJ8bpJO6eeznnqy9L3TJljGHMmDFMmjSJOXPmALB+/XqOHj3K+eefXx7hAzBq1ChGjSr6vpwrVqzItXzDDTec9fleeOEFxo4de9bHVzfaIqUq3bpj69h6epW1YISM4xdhDPzfD1uZ+sk6ktOdRRegVDX0+++/ExMT4+0wlFJKlVD8++9jMjOL3MdkZhI/64NSl7148WL8/Py444473OuioqIYOHAgxhgeeOABOnXqROfOnZk7dy6QcxPisWPH0r59eyZMmIAx1iUSP/zwA927d6dbt27Mn59z/fmsWbOYOnUqAEePHmXMmDFERUURFRXlTqBCQkKs53IW5y3O5MmT+fzzzwFo3bo1Tz31FN26daNz585s3boVgD/++IO+ffvStWtX+vXrR3W6UbkmUqrSvbruVff8iFaX0aNpe/fyt38e5srXl7PzWLI3QlM1nMPhcHc5iI6OZu/evRVynltuuYXNmze7lzdu3Mibb75J3759S1XO0aNHueKKK4iKiqJDhw5cffXV5R1qqcyaNYtDhw65lz2fZ/YHcV6eH6JKKVWdnF74NTiL+XHX6eT0woWlLnvjxo107969wG3z588nNjaW9evX89NPP/HAAw9w+PBhANatW8fLL7/M5s2b2b17N8uXLyctLY1bb72VuXPnsmbNGo4cOVJgudOmTWPw4MGsX7+etWvX0rFjxzKdtyAPPPCA+zP2zz//zLe9fv36rF27lilTpvDiiy8C0L59e5YuXcq6det4+umnefTRR0tWiVVAmbr2iUgD4FagtWdZxpi/lC0sVVPFHotl1RGrNcpXfLmnx100GtiMZ77dzIcr9wGw81gyo19bxovXRHFp5ybeDFfVMEFBQcTGxha4zRiDMQYfn7L/vvTOO+/kWu7UqRPvv/9+qct58sknueiii7jnnnsAWLlyZZljK4tZs2bRqVMnmja17vWW93kqpVRNkpWSUrL9zpwp1/MuW7aM6667DofDQaNGjRg8eDCrVq2ibt269OrVi+bNmwO4fxAMCQmhTZs2tG3bFhHhhhtuYObMmfnK/eWXX/jwww8B64fFsLCwMp13wIAB+c5RXNe+q666CoDu3bu7W84SExOZNGkSO3bsQETILKYVsCop6zeGr4Aw4CfgW4+pSCJyiYhsE5GdIvJwIfuME5HNIrJJRD4pY5yqinh/Y86XySvOvYIWoS3w9/Xh6dGdeGlcFIF+1kvyTIaLKbPX8s/vtuB0ZXkrXFXD7d27l3bt2nHjjTfSqVMnDhw4wJQpU+jRowcdO3bkqaeecu+7atUq+vXrR1RUFL169SIpKQmXy8X9999Pp06d6NKlC6++arW2DhkyhNWrVwPw6aef0rlzZzp16sRDDz3kLi8kJITHHnuMqKgo+vTpw9GjR/PFd/jwYfcHF1gJGeS/AHfq1KnMmjULgIcffpgOHTrQpUsX7r//fqDw7hwff/wxvXr1Ijo6mttvvx2Xy+WO7a9//SsdO3Zk+PDhHD9+nM8//5zVq1czYcIEoqOjSU1NzfU8gXzH5LVmzRoGDx5M9+7dGTFihPuXTqWUqop86tQp2X7BwaUuu2PHjqxZs6bUxwUE5NwmxuFw4CyuxayclNd5s8vxLOOJJ55g6NChbNy4ka+//rpaDTpU1sEm6hhjHip+txwi4gBeBy4C4oBVIrLQGLPZY5/zgEeA/saYUyLSsIxxqipgb+JeFh9Y7F6e3HFyru1XdWtO+8Z1uePjNew/af0KNHPJbjbEJfDKtV1pWDewMsNVFaj1w8X+3nLW9j53eaHbUlNTiY6OBqBNmzb85z//YceOHXzwwQf06dMHgGeffZaIiAhcLhfDhw9nw4YNtG/fnvHjxzN37lx69uzJ6dOnCQoKYubMmezdu5fY2Fh8fX05efJkrvMdOnSIhx56iDVr1lCvXj0uvvhivvzyS6688krOnDlDnz59ePbZZ3nwwQd5++23efzxx3Mdf9dddzF+/Hhee+01LrzwQq655poihz+Pj49nwYIFbN26FREhISEByOnOsWDBAlwuF8nJyWzZsoW5c+eyfPly/Pz8uPPOO5k9ezY33ngjZ86coUePHvznP//h6aef5u9//zuvvfYar732Gi+++CI9evTId+7CjsmWmZnJ3XffzVdffUWDBg2YO3cujz32GO+9916Rf0+llPKWuqNGkvDZ50V37/P1pW4xgzkUZNiwYTz66KPMnDmT2267DYANGzaQmJjIwIEDeeutt5g0aRInT55kyZIlvPDCC+5rivJq3749e/fuZffu3URFRfHpp58WuN/w4cN54403uPfee92fBZ6tUqU9b3lJTEykWbNmAO4fBauLsrZIfSMil5XymF7ATmPMbmNMBjAHGJ1nn1uB140xpwCMMcfKGKeqAj7Y/AEG6+LEQc0HcW74ufn26dC0Ll9PHcCw9jm582+7T3LpjKX8uj3/L9xKlUZ2177Y2FgWLFgAQKtWrdxJFFj3zujWrRtdu3Zl06ZNbN68mW3bttGkSRN69uwJQN26dfH19eWnn37i9ttvx9fX+k0qIiIi1/lWrVrFkCFDaNCgAb6+vkyYMIEl9lC5/v7+7lal7t27F3i91ogRI9i9eze33norW7duZcCAAQW29GQLCwsjMDCQm2++mfnz51PH/jX1l19+YcqUKUBOd46ff/6ZNWvW0LNnT6Kjo/n555/ZvXs3AD4+PowfPx6wRm9atmxZsXVb3DHbtm1j48aNXHTRRURHR/PMM88QFxdXbLlKqQJc8XLOpCpM5E03IcXcIFz8/IicPKnUZYsICxYs4KeffuLcc8+lY8eOPPLIIzRu3JgxY8bQpUsXoqKiGDZsGM8//zyNGzcutKzAwEBmzpzJNddcQ7du3WjYsOD2hxkzZrB48WI6d+5M9+7dc13LC5T6vOXlwQcf5JFHHqFr166V1sJWXsraInUP8KiIZADZHRqNMaZuEcc0Aw54LMcBvfPscz6AiCwHHMB0Y8wPeQsSkduA2wAaNWpU5hGxkpOTdVStEiptXZ12nebLuC/dy9GZ0UUef0MrQ5jTjy93ZmKA+DMZTHrvDy5r48dV5/nh61M9hknW11SOsLAwkpKSKvw8xZ3Dc3tycjJBQUHudXv37uX5558nJiaGevXqcccdd5CQkMCZM2dwuVz5ynY6naSkpORb73K5OHPmDKmpqWRmZrq3p6WlkZGRQVJSEn5+fiQnW4OqZGRkkJqaWmDsfn5+jBw5kpEjRzJ27Fh+/PFHGjZs6C4n+zmlpaWRmprKzz//TExMDAsWLGDGjBl88803GGNISkoiIyPDXW5qairXXXcd06dPL7B+kpKS8PX1JTk52X189vPK3ifvckHHZGZmkpqaSnJyMu3bt+fnn38u8u+Vlpam/2aUKk6Pm7wdQa3g37IlzWe8bA2BnpmZu2XK1xfx86P5jJfP+qa8TZs2Zd68eQVue+GFF3jhhRdyrRsyZAhDhgxxL3u2+l9yySWsWbMmX6+FyZMnM3nyZMD6rvzVV1/lO1f2Z5GIlPq8ngpqTfJc5/mDYY8ePdzv9X379s11/6xnnnmmwPNWRWVKpIwxhfcxKRtf4DxgCNAcWCIinY0xCXnOPxOYCdCjRw9T1srOHt5RFa+0dfXquldxxllvQJ0iO3HLiFuKvWfMsKFwzc4T3DM3luNJ6QB8tyeTI65gXrmuK83rlazvsjfpayrHli1b3G/webvfJSUlFdllrTx5nickJAQfHx/3uqysLEJDQ2nevDnHjx/np59+4qKLLqJbt24cO3aMrVu30rNnT5KSkggKCuLSSy/lo48+4vLLL3d37YuIiMDhcBAcHMzgwYN56KGHSE9Pp169eixYsIC7777bfb7sx6CgIPz8/PLVwS+//EKfPn2oU6cOSUlJ7mu6GjduzPbt2/H39yc1NZUlS5YwdOhQRISsrCzGjh3LRRddxDnnnENoaCgXXnghH3/8ca7uHJdffjmjR4/moYceomHDhpw8eZKkpCRatWpFVlYWP/74I9deey0LFy5k0KBBhIaGEh4e7q4jwP08Q0NDCz3Gz8+PoKAgunXrxsmTJ9m4cSN9+/YlMzOT7du35xs1KjAwkK5du1bY318ppUojZNAgzvnqS+JnfcDphQvJOnMGn+Bg6o4aReTkSWedRKmaocw35BWRUcAgezHGGPNNMYccBFp4LDe313mKA343xmQCe0RkO1Zitaqs8arKl+ZMY+62ue7lyZ0ml/jGm/3a1uf7ewby17mxLN1xAoC1+xO4bMZSXrgmihEdK77JWdUeUVFRdO3alfbt29OiRQv69+8PWN3w5s6dy913301qaipBQUH89NNP3HLLLWzfvp0uXbrg5+fHrbfe6r5fB0CTJk147rnnGDp0KMYYd/JSUmvWrGHq1Kn4+vqSlZXFpEmT3N0Lx40bR6dOnWjTpo078UhKSmL06NGkpaVhjOGll14CrO4ct912G++++y4Oh4M33niDvn378swzz3DxxReTlZWFn58fr7/+Oq1atSI4OJg//viDZ555hoYNG7rvJTJ58mTuuOMOgoKC8o0gWNgx2fz9/fn888+ZNm0aiYmJOJ1O7r333nyJlFJKVTX+LVvS5MknaPLkE94ORVUxUtIbarkPEBkErDTGZIrIc0BPYLa9+TpgtTHmkSKO9wW2A8OxEqhVwPXGmE0e+1wCXGeMmSQi9YF1QLQxJr6wcnv06GE8R486G9p6UHKlqasvd37JE8utN59mIc34Zsw3+PqULofPyjK8tWQ3Ly7ahisr5zU7qW8rHrnsAgL9HKUqr7LoayrHli1buOCCCwrcVpktUtVZZdVTSEiIu6tHZSvodSIia4wx+Ue4qObatWtnqtONJyuDvmfmp3VSsLLWy5YtW2jfvn2Jf9itDvSzNL/S1Ikxhq1bt5bqM+hsBptIA9605y8DLjLGvGeMeQ+4BCh8yCwrSCcwFfgR2ALMM8ZsEpGn7dYt7G3xIrIZWAw8UFQSpaq2edty+v+Oazeu1EkUgI+PMGXIucy7vQ/NwoPc6z9YuY8rX1/OlsOnyyVWpZRSqsp7a1DOpM5KYGAg8fHxlLZBQdVMxhji4+MJDCzdCNGl/kZrjPlDRDzvPBYOZI/5G5b/iALL+A74Ls+6Jz3mDXCfPalqbHP8Zv48Yd3Z2s/HjyvbXlmm8rq3iuDbaQN48PMNLNps3Xdn65EkRr+2nPtHnM/NA87BUU0GolCqqvJWa5RSqoQOr/d2BNVe8+bNiYuLK3Ik1OomLS2t1IlATVeaOgkMDMx178aSOKtrpDy64f0LWCciiwHBulaqwBvsqtrJszXq4tYXExEYUcTeJRNex5+3Jnbn49/28cy3W0h3ZpHhyuKf323l5y3H+Pe4qGoxEIVSSimlvMPPz482bdp4O4xyFRMTo4P15FHRdVKm+0gZYz4F+gDzgS+AvsaYuUUfpWqLpIwkvtuT0/A4vt34citbRJjYtzXfThtIl+Y5DaG/7znJpS8v5Ys1cdpcr5RSSimlKsxZJVIi0t5+7AY0wRplLw5oaq9TioW7FpLqTAXgvHrnEd0gutzP0bZhCF9M6ce0YW3J7tGXlO7kb5+t587Zazl5JqPoApRSSimllDoLZzv8+X1YN8L9dwHbDDDsrCNSNYIxhs+2feZeHn/++AobGcfP4cN9F7djSPuG3Dc3lr3xKQB8v/EIq/ae4pkrO3JJpyYVcm6llFJKKVU7nVWLlDHmNvtxaAGTJlGKTfGb2JW4C4A6vnW44twrKvyc3VrW49tpA7m+d87N8U4kp3PHx2u5a/Za9019Ve3lcDiIjo52T553WT8bsbGxfPddTvfVhQsX8txzz5UxSktISEix+yxdupSOHTsSHR1Nampqqcr/8ssv2bx5c4XEpZRSStUGZbpGSkTuEpFwj+V6InJnmaNS1d43u3Puy3xRq4sI9guulPMGB/jyzzGdeW9yDxqGBrjXf/vnYS76z68sWKfXTtVmQUFBxMbGuqfWrVu7txljyMrKKlV5eROpUaNG8fDDlTfezuzZs3nkkUeIjY0lKCio+AM8nG0ipZRSSilLmRIp4FZjTEL2gjHmFHBrGctU1Zwzy8n3e753L19+TpG3FqsQw9o34n9/Hcy4HjnDWCakZPLXueu5+YPVHE4s3a/3qmbau3cv7dq148Ybb6RTp04cOHCAKVOm0KNHDzp27MhTTz3l3nfVqlX069ePqKgoevXqRWJiIk8++SRz584lOjqauXPnMmvWLKZOneoue9iwYXTp0oXhw4ezf/9+ACZPnsy0adPo168f55xzDp9//nmRMWbfdHLs2LF0796dCRMmYIzhnXfeYd68eTzxxBNMmDABgBdeeIGePXvSpUuXXLF/+OGHdOnShaioKCZOnMiKFStYuHAhDzzwANHR0ezatYu3336bnj17EhUVxdVXX01KitVFds+ePfTt25fOnTvz+OOPu8tMTk5m+PDhdOvWjc6dO/PVV1+Vzx9FKaWUqibO9hqpbA4REfu+T4iIA/Ave1iqOvvt8G+cTLNuLdYgqAG9GvfyShxhdfx4fmwUV3RpyiPz/+RggpU8/bL1GBe/tIRHLruA63q1qFF3Na82pue+5Vy53od9emKhm1JTU4mOjgagTZs2/Oc//2HHjh188MEH9OnTB4Bnn32WiIgIXC4Xw4cPZ8OGDbRv357x48czd+5cevbsyenTp6lTpw5PP/00q1ev5rXXXgNg1qxZ7nPdfffdTJo0iUmTJvHee+8xbdo0vvzySwAOHz7MsmXL2Lp1K6NGjWLs2LFFPqV169axadMmQkNDueSSS1i+fDm33HILy5Yt44orrmDs2LEsWrSIHTt28Mcff2CMYdSoUSxZsoTIyEieeeYZVqxYQf369Tl58iQRERGMGjXKfSxAeHg4t95q/Q72+OOP8+6773L33Xdzzz33MGXKFG688UZef/11d0yBgYEsWLCAunXrcuLECfr06cOoUaP035NSSqlao6wtUj8Ac0VkuIgMBz6116la7Nvd37rnL21zKQ4fhxejgUHnN2DRXwcxqW8r97qkdCePLviTcW+tZNuRJC9GpyqTZ9e+BQsWANCqVSt3EgUwb948unXrRteuXdm0aRObN29m27ZtNGnShJ49ewJQt25dfH2L/h1q5cqVXH/99QBMnDiRZcuWubddeeWV+Pj40KFDB44ePVps3L169aJ58+b4+PgUem3XokWLWLRoEV27dqVbt25s3bqVHTt28Msvv3DNNddQv359ACIiCr6X28aNGxk4cCCdO3dm9uzZbNpk3S5w+fLlXHfdde7nkc0Yw6OPPkqXLl248MILOXjwYImei1JKKVVTlLVF6iGs0fum2Mv/A94pY5mqGkvJTOHn/T+7l73Rra8gwQG+/H10Jy7v0pSHvtjAnhNnAFi19xSXv7KUmwe24Z7h51HHv6z/JFR1Exycc/3enj17ePHFF1m1ahX16tVj8uTJpKWllfs5AwJyrt8ryTV7nvs7HA6cTme+fYwxPPLII9x+++251r/66qslimny5Ml8+eWXREVFMWvWLGJiYtzbCmplmj17NsePH2fNmjX4+fnRunXrCqkrpVQBrpvj7QiUUpQ9kQoC3jbGvAnurn0BQEpZA1PV0+IDi933jjon7BwuiLjAyxHl1qtNBN/fM5AZP+/g7SW7cWYZnFmGt37dzdexh5g+qiMXd2zs7TBrvjzd75KSkggNLdcOfmfl9OnTBAcHExYWxtGjR/n+++8ZMmQI7dq14/Dhw6xatYqePXuSlJREUFAQoaGhJCUV3KLZr18/5syZw8SJE5k9ezYDBw6s0NhHjBjhvl4qJCSEgwcP4ufnx7BhwxgzZgz33XcfkZGR7q59eWNPSkqiSZMmZGZmMnv2bJo1awZA//79mTNnDjfccAOzZ89275+YmEjDhg3x8/Nj8eLF7Nu3r0Kfn1LKQ7tLvR2BUoqyd+37GSuZyhYE/FTGMlU15tmt7/JzLq+S10sE+jl46JL2fHfPQHq1zunmdCgxjds+WsMtH6xif7z+FlAbRUVF0bVrV9q3b8/1119P//79AfD392fu3LncfffdREVFcdFFF5GWlsbQoUPZvHmze7AJT6+++irvv/8+Xbp04aOPPmLGjBkVGvvFF1/M9ddf7x4YYuzYsSQlJdGxY0cee+wxBg8eTFRUFPfddx8A1157LS+88AJdu3Zl165d/OMf/6B3797079+f9u3bu8udMWMGr7/+Op07d+bgwYPu9RMmTGD16tV07tyZDz/8MNcxSimlVG0gZRkKWkRijTHRxa2rDD169DCrV68uUxnZo2Op4hVUVyfTTjJs3jBcxgXA91d9T/PQ5gUcXXUYY/hi7UH++d0WTp7JcK/3d/jwlwFtmDqsLSEBZ99wq6+pHFu2bOGCCwpuoawqLVJVXW2op4JeJyKyxhjTw0shVZh27dqZbdu2eTuMKkXfM/PTOimY1kt+Wif5lUedFPUZVNYWqTMi0s3jRN0BHVe6lvphzw/uJKprw65VPokC69qPsd2b88vfBnNdr5wb+Wa4snjz110MeSGGeasOkJWl955SSimllFI5yppI3Qt8JiJLRWQZMBeYWuaoVLX07R6Pbn1tqsYgEyUVXseff13VmQV39iO6Rbh7/YnkdB78YgOjXl/GH3tOei9ApZRSKtuL7XImpZTXlCmRMsasAtpjjdp3B3CBMWZNeQSmqpf9p/ez4fgGAHzFlxGtR3g5orPTtWU95k/px3/GR9G4bqB7/caDpxn31kpu+3A1O47qcOlK1TYicomIbBORnSLycAHbW4rIYhFZJyIbROQyb8SpaonkIzmTUsprytoiBdAO6AB0A64TkRvLoUxVzXi2Rg1oNoDwwHDvBVNGPj7CmK7N+eX+wUwb1pYA35x/Jos2H2XEy0u4/7P1xJ3SASmUqg3sEWlfBy7F+ry7TkQ65NntcWCeMaYrcC3w38qNUimlVGUrUyIlIk8Br9rTUOB5YFQ5xKWqEWMM3+3+zr1cVe4dVVZ1/H257+J2/Py3wYyKaupen2Xg8zVxDHvxV57+ejPxyelejFIpVQl6ATuNMbuNMRnAHGB0nn0MUNeeDwMOVWJ8SimlvKCs95EaC0QB64wxN4lII+Dj4g4SkUuAGYADeMcY81wh+10NfA70NMaUbUg+VWE2xW9i7+m9AAT7BTO4xWDvBlTOmterwyvXdeW2Qefwwo/b+HX7ccAakOK95XuYu2o/k/q15uYBbYgMCSimNKVUNdQMOOCxHAf0zrPPdGCRiNwNBAMXFlSQiNyGdSN7GjRokOvGxwqSk5O1TvIoqE6GeMzX1vrS10p+Wif5VXSdlDWRSjXGZImIU0TqAseAFkUd4NFF4iKsD6NVIrLQGLM5z36hwD3A72WMUVUwz3tHDW85nCDfoCL2rr46NQvjg7/0YuWueJ7/cSvr9icAcCbDxX9jdvH+8r3c0Kcltw48h4Ye11epqsPhcNC5c2ecTidt2rTho48+Ijw83Nthldr06dMJCQnh/vvv93YoKsd1wCxjzL9FpC/wkYh0MsZkee5kjJkJzARr+HMdqjg3Hb45vwLrJCZntrbWl75W8tM6ya+i66Ss10itFpFw4G1gDbAWWFnMMSXpIgHwD+D/gLQyxqgqkDPLyXd7al63vqL0PTeS+VP6MXNid85vFOJen5rp4u2lexjw/GKe+mojhxL0TgBVTVBQELGxsWzcuJGIiAhef/11b4fk5nQ6vR2CKtxBcv9I2Nxe5+lmYB6AMWYlEAjUr5TolFJKecVZJ1IiIsC/jDEJxpg3sVqYJhljbirm0IK6SDTLU3Y3oIUx5ltUlfb74d85mWYNC14/qD69G+ft7VIziQgXd2zMD/cM4r8TunFBk7rubRnOLD5YuY/BLyzm7Q3pbDqU6MVIVWH69u3LwYPWd+Fdu3ZxySWX0L17dwYOHMjWrVsBOHr0KGPGjCEqKoqoqChWrFjB3r176dSpk7ucF198kenTpwPWL8P33HMP0dHRdOrUiT/++AOAM2fO8Je//IVevXrRtWtXvvrqKwBmzZrFqFGjGDZsGMOHDyc5OZnhw4fTrVs3Onfu7N4P4Nlnn6Vr164MGDAAz5u4vv322/Ts2ZOoqCiuvvpqUlKsQVA+++wzOnXqRFRUFIMGDaq4iqwdVgHniUgbEfHHGkxiYZ599gPDAUTkAqxE6nilRqmUUqpSnXXXPmOMEZHvgM728t7yCEhEfICXgMkl2Nfd17xRo0Zl7gOpfUtLLruuPjzxoXtdZ9/OLF2y1ItReUcd4MEuhtgmASzcmcme01ZPnkyXYfkhJ5e/sowLInwY0dqPLg0c+Ih4N2AvCQsLIynJGjq+3/x+FXaeFVetKHJ7UlISLpeLH3/8kYkTJ5KUlMTNN9/Mf/7zH9q2bcuqVau4/fbb+eabb7jzzjvp3bs3H374IS6Xi+TkZBISEsjKynI/l/T0dNLT093lJiYmsnTpUpYvX87kyZP5/fff+fvf/07fvn2ZMWMGCQkJDB06lN69e5OWlsaaNWtYsWIFERERZGZm8uGHH1K3bl3i4+MZNmwYQ4cOJTY2lk8++YQlS5ZgjGHgwIF06tSJpKQkLrroIq699loAnn76aV5//XXuuOMOpk+fzvz582natCkJCQnueKu6tLS0Kvc+bIxxishU4Eesa3vfM8ZsEpGngdXGmIXA34C3ReSvWANPTDbG6J28lVKqBivrNVJrRaSnfT+pkiqui0Qo0AmIsRq9aAwsFJFReQec8Oxr3qNHjzL3Nde+pSUXExNDr/69eHDeg+51dwy+gw6ReUcErj2GAvcaw6/bj/PaLztZve+Ue9uWk1lsOZnOOfWDual/a8Z0a05IQFn/+VUvW7ZsITQ0tMLPU9Q5UlNTGThwIAcPHuSCCy5g9OjRpKam8vvvv3PTTTmN6enp6YSGhrJkyRI++eQTAgKsQUTCw8NxOp34+Pi4zxMQEEBmZiahoaE4HA5uvPFGQkNDueSSS7jttttwuVzExMTwww8/uLsSZmRkcOrUKQIDA7n44otp1aoVAJmZmTzxxBMsWbIEHx8fDh8+TEpKCmvXruXqq68mNDSU0NBQrrzySgICAggNDWXt2rVMnDiRhIQEkpOTGTFiBKGhoQwcOJCpU6cybtw4rrrqqkqp+/IQGBhI165dvR1GPsaY74Dv8qx70mN+M9C/suNSSinlPWX9JtcbuEFE9gJnAMFqrOpSxDHuLhJYCdS1wPXZG40xiXj0KxeRGOB+HbWv6ok5EEOq07oOqE1YGy6IuMC7AVUBIsKQdg0Z0q4h6/af4l/zf2fNsSxcWdYP07tPnOGJrzbxr++3Mjq6Kdf3akXn5mFejrr2yL5GKiUlhREjRvD6668zefJkwsPDiY2NLVEZvr6+ZGXljB+Qlpb7Mk7J0+IoIhhj+OKLL2jXrl2ubb///jvBwcHu5dmzZ3P8+HHWrFmDn58frVu3zld+XpMnT+bLL78kKiqKWbNmuVtz3nzzTX7//Xe+/fZbunfvzpo1a4iMjCzRc1RKKaVU8c4qkRKRlsaY/cCI0h5bwi4Sqhr4Zvc37vnL21ye7wtkbde1ZT3ujA7kvOjefLBiL5/+vp+kdGtAgZQMF5/+cYBP/zhA52ZhXNerJaOim9aaVqo/J/2ZazkpKalSW0zq1KnDK6+8wpVXXsmdd95JmzZt+Oyzz7jmmmswxrBhwwaioqIYPnw4b7zxBvfee6+7a1+jRo04duwY8fHxhISE8M0333DJJZe4y547dy5Dhw5l2bJlhIWFERYWxogRI3j11Vd59dVXERHWrVtXYKtLYmIiDRs2xM/Pj8WLF7Nv3z4ABg0axOTJk5k6dSoAX3/9Nbfffjtg1V2TJk3IzMxk9uzZNGtmXXK6a9cuevfuTe/evfn+++85cOCAJlJK1RS3xXg7AqUUZ98i9SXQzRizT0S+MMZcXZqDi+sikWf9kLOMUVWgJFcSKw7lXIty2TmXeTGaqq1ZeBCPXnYB04afx2erD/DJ7/vZcSzZvf3Pg4n8ueBPnvl2M5d0bMyVXZvRv219HD6amFakrl270qVLFz799FNmz57NlClTeOaZZ8jMzOTaa68lKiqKGTNmcNttt/Huu+/icDh444036Nu3L08++SS9evWiWbNmtG/fPle52V3TMjMzee+99wB44oknuPfee+nSpQtZWVm0adOGb775Jl9MEyZMYOTIkXTu3JkePXq4y+7WrRvjx4+nX79+NG7cmJ49e7qP+cc//kHv3r1p0KABvXv3dl8L9cADD7Bjxw6MMQwfPpyoqKiKqkqlVGVrWvW6vypVG51tIuX5De+c8ghEVS/rUtbhMi4AohtE0yK0yNuHKSAkwJeb+rdhcr/WrNl3ik9+3883fx4mw2l1E0vJcDF/3UHmrztIw9AARkU15cquzejYtK629pWT5OTkXMtff/21e/6HH37It3+jRo1yjZyXbdq0aUybNq3Ac9xwww28/PLLudYFBQXx1ltv5dt38uTJTJ482b1cv359Vq4s+A4Sjz32GNOmTcvXcjdlyhSmTJmSb//58+cXWI5SSimlysfZJlKmkHlVS6xKzhlfpDbcO6o8iQg9WkfQo3UET47swPy1B/n0j9ytVMeS0nln2R7eWbaHtg1DuKxTY0Z0akyHJppUKaWUUkpVBWebSEWJyGmslqkgex5yBpuoW/ihqro7cPoAezP2AuArvoxoXepL5ZQtvI4/fxnQhpv6t2bTodMsWHeQr2IPcSI53b3PzmPJvPLLTl75ZSctI+pwqZ1URTcPx0e7/1UpVW3YbqWUUkpVnLNKpIwxjvIORFUf3+7JuU9y/2b9qRdYz4vR1AwiQqdmYXRqFsYjl7Zn+a54FqyN48dNR0nNdLn3238yhbeW7OatJbtpGBrA0HYNGdq+Af3b1ic00M+Lz6BkjDHaoqYKpbddUqqEpnuM9jpdb/qulLfUjiHCVLkxxvDt7pxE6opzrvBiNDWTr8OHwec3YPD5DUjJcPLrtuN8v/EIv2w9RrI96h9Y3f/mrj7A3NUH8PURerSux9B2DRncrgHnNwytcq1VgYGBxMfHExkZqcmUyscYQ3x8PIGBgd4ORSmllCoRTaRUqWyO38ze03sBqONbh8EtBns3oBqujr8vl3ZuwqWdm5DudLF85wm+//MI/9tylISUTPd+zizDb7tP8tvuk/zr+61EBPvT55wI+p4TSd9zIzm3QYjXk5fmzZsTFxfH8ePH821LS0vTL9AlUNPrKTAwkObNm3s7DKWUUqpENJFSpeJ576gLW11IkG+QF6OpXQJ8HQxr34hh7RvhdGWxPi6BxVuPs3jbMTYdOp1r35NnMvjuzyN89+cRABqEBtDnnEj6nhNJj9b1aNsgpNJbrPz8/GjTpk2B22JiYgq8r5LKTetJKaWUqjo0kVIl5sxy8v2e793LOlqf9/g6fOjeKoLurSK4f0Q7jp1OI2b7cWK2HWPlrnhOebRWARxPSufr9Yf4ev0hAEIDfIluGU7XlvXo2jKcri3CCa/j742nopRSSilVLWkipUrsj8N/EJ8WD0BdR116N+7t5YhUtoZ1AxnXowXjerQgK8uw7WgSK3fFs3J3PL/vjud0mjPX/knpTpbuOMHSHSfc685pEEx083A6NK1Lx6ZhdGhal7Cgqj+AhVJKKaWUN2gipUrMs1tftzrdcPjo4I1VkY+PcEGTulzQpC5/GdAGV5Zhy+HTrNwVz+97ThJ74BQnkjPyHbf7+Bl2Hz/D/HUH3eua1wuio51YdWxal/MbhdIsPKjKDWShlFJKKVXZNJFSJZKSmcLP+392L/cM7unFaFRpOHxyhla/ddA5GGOIO5XK2v2nWLc/gXX7T7Hp0GmcWfmHno47lUrcqVR+3HTUvS7Iz0HbhiGc1zCEto1COK9hKOc1DKFFRB0cmmAppZRSqpbQREqVyE/7fyLFmQJAm7A2tPBv4eWI1NkSEVpE1KFFRB1GRzcDIC3TxaZDiWw8eNr9uONYEpmu/MlVaqaLPw8m8ufB3PcuCfD14ZwGIbSpX4dWkcG0jsx+DKZhaIC2YimllFKqRtFESpXIwp0L3fOjzx2NxOuX4pok0M/hHrwiW4Yzi+1Hk9h8yEquthxJYuexZE6eyd8tECDdmcWWw6fZcvh0vm2Bfj60igimVWQdWkbUoVm9IJqFB9E03HrUG7EqpZRSqrrRREoV61DyIX4/8jsAPuLDFedcwZb4LV6OSlU0f18fd5dAyGmBjE9OZ8exZHYcS2bn0SR2HEtm+9FkTiSnF1pWWmYW244mse1oUoHbAxzQYt2v7sSqWXggTcODaFw3kIZ1A2lYN4DQAF+v3wtLKaWUUiqbJlKqWAt35bRG9W3Sl0bBjdiCJlK1VWRIAJEh1n2pPJ06k8HuE8nsi09hb3wK++LPuB8T8gzHnle6C3YeS2bnseRC9wn086FhaCCN6gbQMDSQBqEBNKwbQKNQK9FqGBpIZIg/9er467VaSqma7b6t3o5AKYUmUqoYxphcidTotqO9GI2qyuoF+9M9OHf3wGwJKRl2gnWGAydTOJSYxsFTqRxKSOVgQiopGa5iy0/LzGL/yRT2n0wpcj8RCAvyIyLYn4g6/tZjnqlesD+RwVbSVS/Yn2B/h7Z2KaWqj7pNvB2BUgpNpFQx1h1bx4GkAwCE+oUytMVQL0ekqqPwOv6E1/EnqkV4vm3GGL79XwxtOnVzJ1eHEtM4mJDKsdNpHEtK5+jpNNIys0p0LmMgISWThJRMdnOmRMc4fIS6gb6EBflRN8jPegy05usG+bqXw7K32Y8hAb6EBPgS6OejiZhSSilVy2gipYrk2Ro1os0IAn0DvRiNqolEhBB/se9VFVbgPsYYktKdHDudzrGktDyPVqJ1PCmdkykZxXYjLIgry3AqJZNTZ3EsWIlYHX8HIQG+BAf4EuzvsB7tRCs4wFoO8be3B+RsD/JzWJO/g0BfB4H+Pu51vg6fs4pHKaWUUhVPEylVqDOZZ/hh7w/u5dHnarc+5R0iYrUQBfrRtmFIkfs6XVkkpGZy8kxGodOplAzik635xNRMUjOL71pYFFeWISnNSVKas0zl5OXnEDu5shKrrIxUIjctJ9DXhyB7XZCftT3Q10GAnw/+Dh/8fX0I8LUes5fzzgf4+uDvcORs881zrMNHh6xXqqo6fThnXrv5KeU1XkmkROQSYAbgAN4xxjyXZ/t9wC2AEzgO/MUYs6/SA63lvtn1DWcyra5RbcLaENUgyssRKVU8X4cP9UMCqB8SUOJj0p0uktKcJKZmcjo103r0WD6dmsnptExOp9rr0qx9ktOcJKc7SXeWrNthaWW6DJkuJ0npOQlaXHJChZyrIL4+4k6yfH188HMIvg7Bz+GDn48Pvg7B1+GDn4/HeocPvj7WfPa6Qec3YFRU00qLW6ka76X2OfPTEwvfTylVoSo9kRIRB/A6cBEQB6wSkYXGmM0eu60DehhjUkRkCvA8ML6yY63NjDHM2TbHvTy+3Xi9BkTVWAG+DgJCHKVKvjxlurJISXeRnOHkTLqVXJ1Jz553FbruTIaT9MwsUjNd1pThIi3TmlIyXXj79lrOLIMzw1WiwUCKEh7kp4mUUkqpGscbLVK9gJ3GmN0AIjIHGA24EyljzGKP/X8DbqjUCBWrj65mZ8JOAIJ8gxh17igvR6RU1eXn8CGsjg9hdfzKrUxjDBmuLNIyrEQrLdPF0pW/0zGqK2kZLntdThKWluEi3ekiw5lFuiuLDKfH5Mo9n17ENs/58qLXeimllKqJvJFINQMOeCzHAb2L2P9m4PuCNojIbcBtAI0aNSImJqZMgSUnJ5e5jJrivePvuee7B3ZnzYo1ubZrXZWM1lPJaD2VTD1J4fTu9YDVLzrYntx8AP+zKVnsEh3uNcYYnAacWdbkyjK47GWXsacsax+Xvc5p7+Py2MeZZWiYcZCYmCNn+ayVUkqpqqlKDzYhIjcAPYDBBW03xswEZgL06NHDDBkypEzni4mJoaxl1ATHUo7x5+d/upfvG3Yf59U7L9c+Wlclo/VUMlpPJaP1pJRSSlUd3kikDgItPJab2+tyEZELgceAwcaY9EqKTQGfb/8cp7Eubu/eqHu+JEoppZRSSqnazhsd11cB54lIGxHxB64FFnruICJdgbeAUcaYY16IsdbKcGXw2fbP3MvXtrvWi9EopZRSSilVNVV6ImWMcQJTgR+BLcA8Y8wmEXlaRLJHNHgBCAE+E5FYEVlYSHGqnC3ctZATqScAaBDUgOEth3s5IqWUUkoppaoer1wjZYz5Dvguz7onPeYvrPSgFK4sF+9vfN+9fGOHG/FzlN8oZEoppZRSStUUOiatcvvfvv+xP2k/AKH+oYw9f6yXI1JKKaWUUqpq0kRKAVZr1H/X/9e9fG27awnxD/FiREoppZRSSlVdVXr4c1V5vtvzHXsS9wAQ4hfCpI6TvByRUkoppQo0PdHbESil0BYpBaS70nk99nX38o0dbiQsIMyLESmllFJKKVW1aSKl+GjzRxxMtm7lFRYQxg0dbvByREoppZRSSlVtmkjVcidST/D2hrfdy3dG3Umof6gXI1JKKaWUUqrq02ukarl//f4vUpwpAJwbdi7j2o3zckRKKaWUKtKhdTnzTbt6Lw6lajlNpGqxX/b/wqJ9i9zLD/V6CF8ffUkopZRSVdrMITnzOvCEUl6jXftqqROpJ3h65dPu5dHnjqZv075ejEgppZRSSqnqQxOpWijLZPH4sseJT4sHIDIwkgd6PuDlqJRSSimllKo+NJGqhd5Y/wbLDy13L/9zwD91uHOllFJKKaVKQS+IqWW+3vU1b65/0718U6eb6NesX9kLdqZD8jF7OmpNqacg/TSkJULaaXv+NGSeAWcGuNLzP7oyc8oUyZ7Js07A4Q8OX/vRH3yy5/3syR98POb9gsCvjsdjYP51voG5lwNCIKAuBNa1lkVQSimllFIKNJGqVX7e9zNPLH/Cvdy/aX+mdZ1W/IFZLjh9CBL2QcJ+SNhP+y2/w94X7aTpGKQllH/AxhSwLjumTMjMv7nC+PjmJFUBdSEwLGc5ez6oHtSJtCdr3uFMsZ6HJmFKKaWUUjWKJlK1xLe7v+Xx5Y/jMi7AGur8hcEv5B6lLz0ZTmzPmY5vsx5P7oYsZ67yGldm8FVBlhNST1pTKQwEWOEHdSJykix3wpW9rr71GByZs+xfp0KehlJKKaWUKh+aSNVwriwXMzfM5L/r/+te16puK94e/G9CD66DQ7HW/SgOx1oJ09kSB4Q0hOAGENLImurUs1prAsNzt+b4B4NvgNXlzjcAHAHg6289OvywuvLZTU+5WqWy12VZXQBdGdZjlsd89vosp70uw+o26EyFzFTITLEfPaeUAralQHpSTndEV/rZ101WZk53x5Lyq+PRuhUJwfXthCvCnrcTruz5wHDw0UselVJKKaUqiyZSNVhcUhzTV0zn9yO/u9e1lUDeiIujwYxupSssuCHUawXhLSG8JduOpdOu13AIbWIlTUERlftF3jeg8s4F1jVg7uu8Eq0pO8nKXpd6ClJOQkq8NaWewpV0DEfWWSRhmSmQmAKJB0q2v/hYfwN3khWZO+Fyt3jVz9lW2XWolFJKKVWDaCJV06SeIiXuDz7c8gnvnYollSz3pt6pabx07AB1swq49gis64AizoUG50P986F+O2s+8jxr4AUPh2NiaNd2SAU+kSrGNwBCGlhTKSyNiWFI/945CVZqdqLl+XgCzpzIPZ9VygvATJZ1bMqJkh/jH5I/4QrKbkXMO9XNmfcP1dYvpZRSStV6mkhVV8ZYA0Ac+ROObIDD69l3bAOfcZovQ4JJdDjcu4ox3JpwmikJiTl/cB9faHgBNO0KTaKhaTQ07GiNZqfKl18QhDWzppIwxupWmGInV2dO2EmX/XjGc97eJ/0s7myfkWxNCftKeaDkTqwCw+0EK8RKuP2DrXl/ez7AYz7ver9gTcqUUqq0QmrdlcpKVUmaSFV1GWesa5fid8HJXdZj/C6I34FJiWe7vx/LggJZGhTEmrBAoG6uw8/LyGB6fCJdws+DbtGaNFUHkp2o1IWIc0p2jDPDau06cyJPwpU36YrPmfIMIFJyJqd7Y3nwC6YffrA+3GMY+qCcR8959xD1geAbZA9jX8AxDr+ca+6yr8fLnnwDwMdRbFhKKVVl3b/N2xEopfBSIiUilwAzAAfwjjHmuTzbA4APge5APDDeGLO3suOsUJmpOV96k49ZrUtJh61Hz/m0BDKAI76+HPJ1cNjXl91+fmyp68+W+s047Sj4C2Ezn0BubzyIke2vxbdJF70epqbz9YfQxtZUEsZOhrKTquzXYnaCVNSUkVy+sWeewR/gVEL5llsU8bETK89kKzv58rcHP8mTfDn8rHuT+fhaiZgjez7P5PCztvv4lnJ/j+0O+1Ec1jbxAfEhMPUoJBywln0cHtvFY97hsd1Hh95XSimlKkilJ1Ii4gBeBy4C4oBVIrLQGLPZY7ebgVPGmLYici3wf8D4ioopIz2J9Vs+4/Dx7fyxZhvGZBUwudzzZLkwxonJcpGV5cIYl73OhclyYVyZGGdanimdrMwUMjKSrSkrkwwR0kXIcE+Q6uPDaR8fTjt8OB0ZRKJPMCcdPpgSfBkShEHNBjCu/bX0b9ofh/7qrgojAkHh1hR5bumOdTntATYScidY6clWC2pGkv14xl6XPZ2xHtM95jNTKuDJlYDJAmeaNVUjfQB+L26vvCRP0uVjz/vkSbqy1/mUYF+fPJMUsM7HOrf4QPvLoeuEcq8PpZRSypu80SLVC9hpjNkNICJzgNGAZyI1Gphuz38OvCYiYkxBd2gtu4SEvfxl/X+shY0VcQabnz0FhxS3Z4mFB4TTt0lf+jfrT/9m/akfVL/cylaqQA5f+x5YEWUvK8sFGWdY8ev/6Nc9yh6mPq2QR3typuV+zLvOmZYz7L0rI/cw+K4Mayh7k1V8bDWGsbtxOsHlpRAiS9hFVSmllKpGvJFINQM8x3SOA3oXto8xxikiiUAkkGtIMhG5DbgNoFGjRsTExJxVQKkp+8/quMoiCGGOMCJ8I4hwRBDpF0lzv+Y0929OpG8kYgTiYGNcRWaBuSUnJ591fdcmWk8lk5wZQMzGuDxr/e0pLPdq8dh0towLnywnPlmZiLEefbKciMnMtz5neyZishDjtB9dhc5bZRW9T/H7Zz9mAQYxWZgsJz6Cx/osxBh73mWvN/b6LIQK+e2p1PYfOMhu/XegVPnZ9n3OfLtLvReHUrVctR5swhgzE5gJ0KNHDzNkyJCzKicxYR/dvnwFl9OJn58fgpW8iIj16LEMIOKDIPiIj7VOfBCseWvyQXz8EB9f69Hhi/j44uMIwN8/xJ5C8Xf450w+1mOgbyB1/etaU4D1GBkUiZ+PX/lUWjmJiYnhbOu7NtF6Khmtp5IpdT0ZY7W+ZbnAuHLPZ2VZy3bX5NzbPR5zbTfWPHa5BU75t7WMOJeWjTpUVLUoVft8em3O/PRyGvhHKVVq3kikDgItPJab2+sK2idORHyxfpKOr6iAwsJb8cHk1fplTilVs3gOQqGUUkqpcuWNG7isAs4TkTYi4g9cCyzMs89CYJI9Pxb4paKuj1JKKaWUUkqp0qr0Fin7mqepwI9Yw5+/Z4zZJCJPA6uNMQuBd4GPRGQncBIr2VJKKaWUUkqpKsEr10gZY74Dvsuz7kmP+TTgmsqOSymllFJKKaVKwhtd+5RSSimllFKqWqvWo/Z5WrNmzQkR2VfGYuqTZ4h1VSitq5LReioZraeSqa311MrbAYjIJcAMrC7p7xhjnitgn3FY90A0wHpjzPWVGqRSSqlKVWMSKWNMg7KWISKrjTE9yiOemk7rqmS0nkpG66lktJ68Q0QcwOvARVj3PlwlIguNMZs99jkPeATob4w5JSINvROtUkqpyqJd+5RSSqmi9QJ2GmN2G2MygDnA6Dz73Aq8bow5BWCMOVbJMSqllKpkNaZFSimllKogzYADHstxQO88+5wPICLLsbr/TTfG/JC3IBG5DbgNoEGDBsTExFREvNVWcnKy1kkeBdXJEI/52lpf+lrJT+skv4quE02kcpvp7QCqEa2rktF6Khmtp5LReqq6fIHzsL7jNgeWiEhnY0yC507GmJnYf8d27doZvQl8bjExMWid5FZgnWyLcs/W1vrS10p+Wif5VXSdaCLlwf6AUyWgdVUyWk8lo/VUMlpPZSci9wDvA0nAO0BX4GFjzKIiDjsItPBYbm6v8xQH/G6MyQT2iMh2rMRqVXnFrpTb7Uu8HYFSCr1GSimlVO3yF2PMaeBioB4wEcg3Al8eq4DzRKSNiPhj3SR+YZ59vsTucSUi9bG6+u0uv7CVUkpVNZpIKaWUqk3EfrwM+MgYs8ljXYGMMU5gKvAjsAWYZ4zZJCJPi8goe7cfgXgR2QwsBh4wxsRXyDNQSilVJWgiZRORS0Rkm4jsFJGHvR1PVSIie0XkTxGJFZHV9roIEfmfiOywH+t5O05vEJH3ROSYiGz0WFdg3YjlFfs1tkFEunkv8spVSD1NF5GD9usqVkQu89j2iF1P20RkhHeirnwi0kJEFovIZhHZZHdD09dU+VojIouwEqkfRSQUyCruIGPMd8aY840x5xpjnrXXPWmMWWjPG2PMfcaYDsaYzsaYORX6LJRSSnmdJlLkukfIpUAH4DoR6eDdqKqcocaYaI972DwM/GyMOQ/42V6ujWYBl+RZV1jdXIp1zcR5WKN2vVFJMVYFs8hfTwD/sV9X0caY7wDsf3vXAh3tY/5r/xutDZzA34wxHYA+wF12fehrqvzcjFV/PY0xKYA/cJN3Q1KqlFa/nzMppbxGEylLSe4RonIbDXxgz38AXOm9ULzHGLMEOJlndWF1Mxr40P7l+jcgXESaVEqgXlZIPRVmNDDHGJNujNkD7MT6N1rjGWMOG2PW2vNJWN3ImqGvqXJjjMnCGizicRF5EehnjNng5bCUKp1v7s2ZlFJeo4mUpaB7hDTzUixVkQEWicga+x4oAI2MMYft+SNAI++EViUVVjf6Ostvqt0l7T2P7qFaT4CItMYaUe539DVVbkTkOeAeYLM9TRORf3o3KqWUUtWRJlKqJAYYY7phdSO6S0QGeW40xhisZEvloXVTpDeAc4Fo4DDwb69GU4WISAjwBXCvPcKcm76myuwy4CJjzHvGmPewuo9e4eWYlFJKVUOaSFlKco+QWssYc9B+PAYswOpmdTS7C5H9eMx7EVY5hdWNvs48GGOOGmNcdlert8npvler60lE/LCSqNnGmPn2an1Nla9wj/kwbwWhlFKqetNEylKSe4TUSiISbI9qhYgEY917ZSNW/Uyyd5sEfOWdCKukwupmIXCjPdJaHyDRo7tWrZPnWp4xWK8rsOrpWhEJEJE2WAMp/FHZ8XmDiAjwLrDFGPOSxyZ9TZWffwHrRGSWiHwArAGe9XJMSimlqiFfbwdQFRhjnCKSfY8QB/CefW8RZV2LscD6focv8Ikx5gcRWQXME5GbgX3AOC/G6DUi8inWTTjri0gc8BTWzT0LqpvvsLoV7QRSqEUjhRVST0NEJBqrm9pe4HYA+/4887CuX3ECdxljXF4I2xv6Y90g9k8RibXXPYq+psqNMeZTEYkBetqrHjLGHPFiSEoppaopTaRs9tDL33k7jqrGGLMbiCpgfTwwvPIjqlqMMdcVsilf3djXttxVsRFVTYXU07tF7P8stbCVwBizjMJvDquvqXIgIv2BWGPMQhG5AXhQRGYYY/Z5OzallFLVi3btU0opVZu8AaSISBRwH7AL+NC7ISmllKqONJFSSilVmzjtlrzRwOvGmNeBUC/HpJRSqhrSrn1KKaVqkyQReQTrWrSBIuID+Hk5JqWUUtWQJlJKKaVqk/HA9cBfjDFHRKQl8IKXY1KqdM6/xNsRKKXQREoppVQtYidPs4GeInIF8IcxRq+RUtXL9XO9HYFSCr1GSqkqRURcIhIrIptEZL2I/M3ueoSI9BCRV7wdo1LVmYiMw7ov2TVYw8j/LiJjvRuVUkqp6khbpJSqWlKNMdEAItIQ+ASoCzxljFkNrPZibErVBI8BPY0xxwBEpAHwE/C5V6NSSilV7WiLlFJVlP1F7zZgqliGiMg3ACLSS0RWisg6EVkhIu3s9R1F5A+7VWuDiJznzeegVBXkk51E2eLRz0KllFJnQVuklKrCjDG7RcQBNMyzaSsw0BjjFJELgX8CVwN3ADOMMbNFxB9wVG7ESlV5P4jIj8Cn9vJ49GbsqrpZ/K+c+aGPeC8OpWo5TaSUqp7CgA/sFidDzvDNK4HHRKQ5MN8Ys8NbASpVFRljHhCRq4H+9qqZxpgF3oxJqVL79bmceU2klPIa7c6gVBUmIucALuBYnk3/ABYbYzoBI4FAAGPMJ8AoIBX4TkSGVWK4SlULxpgvjDH32ZMmUUoppc6KJlJKVVH2RfBvAq8ZY0yezWHAQXt+sscx5wC7jTGvAF8BXSohVKWqPBFZZj8michpjylJRE57Oz6llFLVj3btU6pqCRKRWKyuek7gI+ClAvZ7Hqtr3+PAtx7rxwETRSQTOIJ17ZRStZ4xZoD9GOrtWJRSStUMmkgpVYUYYwodHMIYEwPE2PMrgfM9Nj9ur38OeC7vsUopi4j0ATYZY5Ls5VCggzHmd+9GppRSqrrRrn1KKaVqkzeAZI/lM/Y6pZRSqlQ0kVJKKVWbiOc1h8aYLLR3hlJKqbOgiZRSSqnaZLeITBMRP3u6B9jt7aCUUkpVP5pIKaWUqk3uAPphjXoZB/QGbvNqREoppaol7c6glFKq1jDGHAOu9XYcSimlqj9NpJRSStUaIvIBcI8xJsFergf82xjzF68GplRpdJvk7QiUUmgipZRSqnbpkp1EARhjTolIVy/Go1TpjXrF2xEopdBrpJRSStUuPnYrFAAiEoH+qKiUUuos6IeHUkqp2uTfwEoR+cxevgZ41ovxKKWUqqY0kVJKKVVrGGM+FJHVwDB71VXGmM3ejEkppVT1pImUUkqp2iYCOGOMeV9EGohIG2PMHm8HpVSJLZyWM6/XSynlNZpIKaWUqjVE5CmgB9AOeB/wAz4G+nszLqVKZe0HOfOaSCnlNTrYhKr1RGSviFxYyLYhIhJXDufYJCJDClj/uog8XYZyvxeREo2DKyKNRGSJiCSJyL/P9pxFlN9SRJJFxFHeZStVjsYAo4AzAMaYQ0CoVyNSSilVLWmLlKoxRGQv0AhwYX1J+h6YaoxJ9mZcAMaYjnnXichtQLox5skylHtpKXa/DTgB1DXGmLM9ZxGx7AdCyrtcpcpZhjHGiIgBEJFgbweklFKqetIWKVXTjDTGhADdsLrvPO7leApljJlpjLmvEk/ZCthcEUmUUtXIPBF5CwgXkVuBn4C3vRyTUkqpakgTKVUjGWMOYrVIdQIQkVF297oEEYkRkQvyHNJTRDaLyCkReV9EAgsqV0QeFpFddve4zSIyJs/2W0Vki8f2bvZ6d/dBEQkQkZdF5JA9vSwiAfa2ISISJyJ/E5FjInJYRG4q7Hnaz+UWe36yiCwTkRft57FHRC61t80CJgEP2t3vLhQRH4/nEy8i8+x76mSXPUBEVth1dkBEJtvrg0Tk3yKyT0QS7XMGiUhrETEi4mvv11REForISRHZaX9pzS67l4isFpHTInJURF7y2PaZiByxy14iIvla85Qqrex/Y8aYF4HPgS+wrpN60hjzqjdjU0opVT1pIqVqJBFpAVwGrBOR84FPgXuBBsB3wNci4u9xyARgBHAucD6Ft2TtAgYCYcDfgY9FpIl9zmuA6cCNQF2s6zDiCyjjMaAPEA1EAb3ynK+xXX4z4Gbgdc8biBajN7ANqA88D7wrImKMmQzMBp43xoQYY34C7gauBAYDTYFTwOv2c2mFlYi+ilVn0UCsfY4Xge5AP6zRzx4EsgqIZQ4QZ5c9FviniGQPOT0DmGGMqYtV5/M8jvseOA9oCKy141aqrFYCiMhHxpj/GWMeMMbcb4z5n7cDU0opVT1pIqVqmi9FJAFYBvwK/BMYD3xrf3nKxEoEgrASgWyvGWMOGGNOYt2c87qCCjfGfGaMOWSMyTLGzAV2YCVCALdgJSqrjGWnMWZfAcVMAJ42xhwzxhzHSsgmemzPtLdnGmO+A5KxfjkviX3GmLeNMS7gA6AJ1nVjBbkDeMwYE2eMScdKAsfaLUrXAz8ZYz6144g3xsSKiA/wF+AeY8xBY4zLGLPCPt7NTmT7Aw8ZY9KMMbHAO1hJZvZzbCsi9Y0xycaY37KPNca8Z4xJ8ogpSkTCSvj8lSqMv4hcD/QTkavyTt4OTimlVPWjg02omuZKu7XFTUSaAu6ExhiTJSIHsFp8sh3wmN+H1YqSj4jcCNwHtLZXhWC1/gC0wGqxKk6ueAo4X7wxxumxnELJB3E4kj1jjEkRkewYC9IKWCAinq1JLqzEq7DnUh8ILGSbp6bASWNMkse6fVjXrYHV0vY0sFVE9gB/N8Z8Y4/49yxwDVZLWHZs9YHEYs6pVFHuwPoRIxwYmWebAeZXdkBKKaWqN02kVG1wCOicvSBWdtECOOixTwuP+Zb2MbnY3d3eBoYDK40xLhGJBcTe5QBWN7WSxNMK2FTU+SrBAeAvxpjleTfYiWav/IdwAkjDep7riyj7EBAhIqEeyVRL7Do3xuwArrNbuK4CPheRSHt+NHAhsBeri+MpcupYqbNijFkGLBOR1caYd70dj1JKqepPu/ap2mAecLmIDBcRP+BvQDqwwmOfu0SkuT3YwmPA3ALKCcb65fo4gD0IRCeP7e8A94tId7G0tZOvvD4FHheRBiJSH3gS64agle1N4NnsGO14RtvbZgMXisg4EfEVkUgRiTbGZAHvAS/Zg0k4RKRv9oX82YwxB7Dq918iEigiXbBaoT62z3WDiDSwy0uwD8vCup9POta1ZXWwumYqVW6MMe+KSD8RuV5EbsyevB2XUkqp6kdbpFSNZ4zZJiI3YA2c0Axr0ISRxpgMj90+ARZhdUn7CnimgHI2i3Uj25VYX/o/BJZ7bP/MblX5xD7PXqxrn/JeJ/UM1mAUG+zlzwo6XyWYgdXSs8ju/ngMK4H8yhizX0Quw7qe7B2sbnWPY9Xd/cC/gFVY3QbXYw3Ukdd1WMnaIaxWpac8ul1egpWM1cGqn2uNMaki8qFd1kHgJPAEMKWcn7eqxUTkI6wW1Visrqxg/UDyobdiUqrUBj/s7QiUUoDoLWWUUkrVFiKyBehQFe6n1q5dO7Nt2zZvh1GlxMTEMGTIEG+HUaVonRRM6yU/rZP8yqNORGSNMaZHQdu0a59SSqnaZCPWLQaUUkqpMtGufUoppWqT+sBmEfkD63o8AIwxo7wXklJKqepIEymllFK1yXRvB6CUUqpm0ERKKaVUrWGM+dXbMShVZp+Mz5m/vqBBZpVSlaHGJFL169c3rVu3LlMZZ86cITg4uHwCquG0rkpG66lktJ5KprbW05o1a04YYxqUpQwRScIanS/fJsAYY+qWpXylKtX2H7wdgVKKGpRItW7dmtWrV5epDB3tpOS0rkpG66lktJ5KprbWk4jkvYVAqRljQssjFqWUUiqbjtqnlFJKKaWUUqWkiZRSSimllFJKlZImUkoppZRSSilVSjXmGilVvRljOJiQyvajSRxPSud4UjqJqZn4+/oQ6OsgOMCX5vWCaF0/mJYRdQj0c3g7ZKXyyczMJC4ujrS0tAopPywsjC1btlRI2VVBYGAgzZs3x8/Pz9uhKKWUUsXSREp5jSvLsHTHcb778zAx245zLCm9+IMAH4F2jevStWU43VrWY+B59WlUN7CCo1WqeHFxcYSGhtK6dWtEpNzLT0pKIjS0Zo6ZYIwhPj6euLg42rRp4+1wlFJKqWJpIqUqXWqGizmr9vPO0j0cTEgt9fFZBrYcPs2Ww6f55Pf9AFzQpC5D2zXg8i5N6NCkboV8iVWqOGlpaRWWRNV0IkJkZCTHjx/3dihKKaVUiWgipSqNMYZvNhzmn99t4XBi/q5PoQG+dGxWl6bhQTQIDSA8yJ9MVxZpmS4SUzPZfzKFffEpHDiVgslzN5jsxOq/Mbs4r2EIo6ObMjq6GS0i6lTSs1PKoknU2dO6U0opVZ1oIqUqxfGkdB6Zv4GfthzLtT4i2J+rujbjsi5NiGoejsOn+C9SyelONhxIYO3+U6zYFc+qvSfJdOVkVjuOJfPiou28uGg7vdpEcFO/1lzUoRG+Dh1bRanKNG/ePHr16kVZb5aulFJKVUWaSKkKt3rvSabMXstxj2ug6of4c/ew8xjfs0WpB44ICfClX9v69Gtbn6nDziM53cmyHSf4fuNhFm06Smqmy73vH3tO8seekzQNC2Ri39Zc16sF4XX8y+25KVXVhISEkJycXOQ+S5cu5Y477sDPz4+VK1cSFBRU5vP269ePFStWuJc//vhjDh8+zLhx48pctlIqjyte9nYESik0kVIV7Is1cTz0xQacWTktRjf2bcX9I9pRN7B8RuYKCfDlkk6NuaRTY1IynPxv81G+ij3Eku3H3ec9lJjG//2wlRk/b+f6Xq24Y/A5NNQBKlQtNXv2bB555BFuuOGGcivTM4kCyrXsqkBELgFmAA7gHWPMc4XsdzXwOdDTGLO6EkNUtUmPm7wdgVIKvY+UqkBvL9nN3z5b705m6tXx48O/9OLp0Z3KLYnKq46/L6Ojm/He5J4sf3gYdw9rS2RwTgtUWmYW7y3fw8DnF/P3rzdxIrlkIwUqVd3ExMQwZMgQxo4dS/v27ZkwYQLGGN555x3mzZvHE088wYQJEwB44YUX6NmzJ126dOGpp55yl/Hhhx/SpUsXoqKimDhxIgBHjx5lzJgxREVFERUV5U6gQkJCAOtayAceeIBOnTrRuXNn5s6dW2Q81YGIOIDXgUuBDsB1ItKhgP1CgXuA3ys3QqWUUt6gLVKqQsxavodnv8u53037xqG8M6kHzetV3uAPjeoG8reL23HX0LZ8s+Ew7y3bw+bDpwFId2bx/vK9fLY6jilDzuXmAW303lSqXLV++NsKK3vvc5eXaL9169axadMmmjZtSv/+/Vm+fDm33HILy5Yt44orrmDs2LEsWrSIHTt28Mcff2CMYdSoUSxZsoTIyEieeeYZVqxYQf369Tl58iQA06ZNY/DgwSxYsACXy5WvG+H8+fOJjY1l/fr1nDhxgp49ezJo0KBC4xkwYED5Vk7F6AXsNMbsBhCROcBoYHOe/f4B/B/wQOWGp5RSyhs0kVLl7vM1cUz/Ouf7Ra82Ebx9Yw/Cgrxzk81APwdjuzfn6m7NWLztGC//tIMNcYmANXDFCz9uY/Zv+3jiig5c0qmxjhymaoxevXrRvHlzAKKjo9m7d2++xGXRokUsWrSIrl27ApCcnMyOHTtYv34911xzDfXr1wcgIiICgF9++YUPP/wQAIfDQVhYWK7yli1bxnXXXYfD4aBRo0YMHjyYVatWUbdu3RLFU0U1Aw54LMcBvT13EJFuQAtjzLciUmgiJSK3AbcBNGjQgJiYmPKPthpLTk7WOslD66RgWi/5aZ3kV9F1oomUKlc/bDzCg5+vdy93axnO+5N7Ehzg/ZeaiDCsfSOGtmvIL1uP8a/vt7LzmPVr+qHENKbMXsuw9g35+6iOOmy6qhECAgLc8w6HA6fTmW8fYwyPPPIIt99+e671r776qlfiqY5ExAd4CZhc3L7GmJnATIB27dqZIUOGVGhs1U12F1CVo8A6eWtQzvztSyo1nqpCXyv5aZ3kV9F14v1vt6rG2HQokXvmrCN7XIkLmtTl/cm9qkQS5UlEGH5BIwaf34A5qw7wn/9tJ/5MBgC/bD3Gyl3xPHxpe27s20pbp9RZK2n3u9JISkoiNDS0XMscMWKE+3qpkJAQDh48iJ+fH8OGDWPMmDHcd999REZGcvLkSSIiIhg+fDhvvPEG9957r7trn2er1MCBA3nrrbeYNGkSJ0+eZMmSJbzwwgts3bq1XOOuZAeBFh7Lze112UKBTkCM/Z7RGFgoIqN0wAlVIQ6vL34fpVSF08EmVLlISMngjo/XkO7MAqBN/WA+/Esvwup4pztfSfg6fLihTyt+uX8IE3q3dK9PzXTx1MJN3PjeHxwp4MbBStUkF198Mddffz19+/alc+fOjB07lqSkJDp27Mhjjz3G4MGDiYqK4r777gP4//buPD7q6t7/+OuTnaxAAmEn7BBAdnBBRK241Eq11apdsGrtbWuvvb3eW7tZf3bXXrvZ1lprRa3Val0oorgRV2QTBMKi7CSBAEnIvk3m/P6YySSBAAEy+U6S9/PxmEe+3+98Z/LJySTf+cw553P47W9/y7Jly5g4cSLTpk1j06aW04SuvPLKUIGKCy64gHvuuYd+/fp58aO1p1XAKDMbZmZxwLXAosY7nXOlzrkM51yWcy4LeB9QEiUi0sVFVleBdEp+v+NbT61jb3E1EChH/tCC6fRJiT/BIyNDWo9YfnrlRK6aOojvPbuBrYXlALz98SEu/s1b3PvZM5g3vtO/EZRuorH4w9y5c1sMZ7j//vtD24888kiLx9x2223cdtttRz3XggULWLBgQYtjmZmZvPDCC8f8vmbGvffey7333tvi/uPFE+mccz4zuxVYSqD8+cPOuVwzuxtY7ZxbdPxnEBGRrkg9UnLafvP6x+RsPRja/9XVkxjRJ9nDiE7NtKG9WPTNc/jqnOE0jugrra7nlsfW8PMlm/E1+L0NUEQ845xb4pwb7Zwb4Zz7afDYna0lUc65ueqNEhHp+pRIyWlZs7uY37/xcWj/a3NHcMmEztt7Ex8TzXcvG8c/vnImA3v2CB3/81s7uP4vKzhQrqF+IiIiIqJESk5DdV0Dtz+9nsY1Nc8ans7t88Z4G1Q7OXN4Oou/OZvzx/QJHVu5q5j5979LbkGph5FJpOssi8xGIrWdiIh0Jkqk5JTds3QLOw9VAoF5Ub+6ZhLRUV2nyl2vpDj+umAG/3PxGBp/rH2lNVz9wHJeyd3vbXASkRISEigqKlJCcAqccxQVFZGQkOB1KCIiIm2iYhNySrYUN/C3lbtC+z+8fFyLoXBdRVSU8Y3zRzJhYBq3/v0Dymt9VNU18NXH1/CDT2Zz0+xhXocoEWTQoEHk5eVx8ODBE598Cmpqarp0opGQkBBasFdERCTShTWRMrNLgN8SqHL0kHPuF0fcHw88CkwDioDPOed2Be87A/gzkAr4gRnOOU1QiQA19Q08vLE2tD93TB+umT74OI/o/M4b3Ydnv342Ny1czZ7iKpyDHy/exKGKWv734jFab0oAiI2NZdiw8CXXOTk5TJkyJWzPLyIiIm0XtqF9ZhYN/AG4FMgGrjOz7CNOuwkocc6NBH4N/DL42BjgceA/nHPjgblAfbhilZPzl7d2cKAqMHQpJSGGX1x1RrdIJEZlpvD8N85h2tBeoWN/ytnO/z6zXhX9RERERLqZcM6Rmglsc87tcM7VAU8C8484Zz6wMLj9DHChBd6RzwPWO+c+BHDOFTnnGsIYq7RR/uFq/pCzLbT/vxePoV9a1x1qdKTeSXE8ftMsLhzbN3Ts6TV5/OeTa6lXMiUiIh3huiebbiLimXAO7RsI7G22nwfMOtY5wQUPS4F0YDTgzGwp0Ad40jl3z5HfwMxuAW6BwCKROTk5pxVwRUXFaT9HV/eHdTXU1AcShsEpUQys2UlOzi5vg/LA9UMcdeUxvJ3vA2DJhv0UHniFr02KJ6ZZwQ29ptpG7dQ2aicRAWDMpV5HICJEbrGJGGA2MAOoAl43szXOudebn+ScexB4EGD69Olu7ty5p/VNc3JyON3n6Mre3XaIVS+vCO3f9/lZzMjq7WFE3rrgfMfdizfxt3d3AbCmsIF/5qVw//VTiYsJdPbqNdU2aqe2UTuJiIhEjnAO7csHmlcgGBQ81uo5wXlRaQSKTuQBbznnDjnnqoAlwNQwxion0OB33P3vTaH9s/pHd+skCsDMuPPybG5uVrnvlU2FfP3vH1Dn0zA/ERERka4snInUKmCUmQ0zszjgWmDREecsAhYEtz8LvOECC7AsBSaaWWIwwToP2IR45oV1+WwtLAcgMS6aa8bEeRxRZDAzvv/JcdwyZ3jo2GubC/n639dozpSIiIhIFxa2oX3BOU+3EkiKooGHnXO5ZnY3sNo5twj4K/CYmW0DigkkWzjnSszsPgLJmAOWOOdeDFescnx1Pj+/fu2j0P5Xzh1Or9gCDyOKLGbGdy8dixn8+c0dALy2+QC3P/0h8zO1MKuIiLSzX41p2r59q3dxiHRzYZ0j5ZxbQmBYXvNjdzbbrgGuPsZjHydQAl089tTqvewtrgagZ2IsN587jDXvK5Fqzsy445KxGMYDb24H4IV1BZQPieH8ua5blIcXEZEOUrHf6whEhPAO7ZMuoKa+gd+//nFo/2vnjSAlIdbDiCKXmfGdS8bw+VlDQsfe2OPjvlc/Os6jRERERKQzUiIlx/Xo8l0cKK8FoG9KPF86K8vbgCKcmXH3/Al8atKA0LHfv7GNh97e4WFUIiIiItLelEjJMVXV+XjgzaYE4JsXjKRHXLSHEXUO0VHG/109iblj+oSO/eTFzfxrTZ6HUYmIiIhIe1IiJcf0z1V7Ka6sA2Bgzx58bsaQEzxCGsXFRPGnz09jdK+mP7Hv/Gs972075GFUIiIiItJelEhJq+ob/Pzl7Z2h/VvmDA8tMitt0yMumtumJjC2XwoAPr/jq4+vYev+co8jExEREZHTpXfG0qrF6wvIPxyo1Nc7KY5rpg8+wSOkNUmxxsM3zCAzNR6A8hofX/7bSgrLajyOTEREREROhxIpOYpzjgdymuZG3XB2luZGnYYBPXvw8A0zSAq2YUFpDTc+sorKWp/HkYmIiIjIqVIiJUdZtvUAWwsDw88S46L50llDPY6o8xs/II0/fmEa0VGB9aRyC8q49YkP8DX4PY5MRERERE6FEik5SvNKfdfNHELPxDgPo+k6zhvdh59+ekJof9nWg/zwhVyccx5GJSIiIiKnIsbrACSy5BaUsnJnMQAxUcZNs4d5HFHXcu3MIeSVVHP/sm0A/GPlHrLSE/nqeSM8jkxERDqNW3K8jkBEUCIlR3hs+e7Q9qUT+zOgZw8Po+ma/nveaPJKqnh+XQEAv3h5CyP6JPOJ7EyPIxMRkU5hwBSvIxARNLRPmjlcVcfz6/JD+ws0NyoszIxffvYMZmT1AsA5uO3JtWzZX+ZxZCIiIiLSVkqkJOTp1XnU1AeKH4zrn8q0ob08jqjrio+J5oEvTGNQr0CPX2VdAzcvXE1RRa3HkYmIiIhIWyiREgD8fsdj7zcN61tw1lDMzMOIur705Hj+uqCpLHpeSTX/8fgaan0NHkcmIiIiIieiREoAePOjg+wprgIgNSGG+ZMHehxR9zCmXwq/u24KjTnrql0l/OC5jarkJyIix3ZXWtNNRDyjREoAeHT5rtD2NdMHawHeDnThuEzuuGRsaP/pNXn85e0dx3mEiIiIiHhNiZSQf7ianI8Ohva/cKaKTHS0W+YM5zNTB4X2f/7SFl7fXOhhRCIiIiJyPEqkhH+tyaNxJNnskRlkZSR5G1A3ZGb87KoJTB/aVMnvP/+xlq37yz2OTERERERao0Sqm/P7Hf9cvTe0f82MwR5G073Fx0TzwBenMbBnUyW/mxauUiU/ERERkQikRKqbe39HEXkl1QCk9YhlnhaF9VRGcjwPLZjeopLf1x7/QJX8RERERCKMEqlu7qlmvVGfnjyAhFgVmfDauP6p/Pbapkp+K3cVq5KfiIiISIRRItWNlVbV89LG/aF9DeuLHJ/IzuQ7quQnIiIiErGUSHVjiz7Mp87nB2D8gFTGD9B6FJHkq61U8nttkyr5iYiIiEQCJVLd2D9X54W2P6feqIjTWMlvRlZTJb/bnlzL5n1lHkcmIiIiIkqkuqmPC8vZkF8KQFxMFPMnDfQ4ImlNfEw0D3xhGoN6NVXyu3nhag6Wq5KfiIiIiJeUSHVTz6/LD21/Ylxf0hJjPYxGjic9OZ6Hb5hBcnwMEFhA+auPraamXpX8RES6pW9vabqJiGfalEiZWR8z+56ZPWhmDzfewh2chIff73h+bUFo/9OT1RsV6UZnpvD766cQFazk98Gew9zxr/Wq5Cci0h2l9m+6iYhn2toj9QKQBrwGvNjsJp3Q6t0l5B8OrB3VMzGWuWP6ehyRtMX5Y/ry/U9mh/afX1fAH3O2exiRiIiISPcV08bzEp1z3wlrJNJhnlvbNKzvkxP7ExejEZ6dxY3nZLHtQDn/WBlY/+vepVsZ0SeJSyboU0kRERGRjtTWd9CLzeyysEYiHaLW18CL65uG9V05RcP6OhMz4+75EzhzeO/Qsf966kM2BguHiIhIN1C2r+kmIp5payJ1G4FkqsbMyoM31WDuhJZtOUBZjQ+AQb16MG1oL48jkpMVGx3Fnz4/jaz0RACq6wOV/ArLajyOTEREOsR9Y5tuIuKZNiVSzrkU51yUcy4huJ3inEs90ePM7BIz22pm28zsjlbujzezp4L3rzCzrCPuH2JmFWZ2e5t/Ijmu5sP6rpwyEDPzMBo5Vb2S4nhowQxSEgKjc/eX1fCVR1dTXadKfiIiIiIdoc2TY8zsCjP7VfB2eRvOjwb+AFwKZAPXmVn2EafdBJQ450YCvwZ+ecT99wEvtTVGOb6ymnqWbTkY2p+van2d2si+yfzx81OJDpbyW59Xyn8/vQ6/X5X8RERERMLtmImUmc0xs9jg9i8IDO/bFLzdZmY/P8FzzwS2Oed2OOfqgCeB+UecMx9YGNx+BrjQgl0kZvZpYCeQe1I/kRzTq7mF1DX4ARg/IJWRfZM9jkhO17mj+nDXp5o+n1iyYT8/f2mzhxGJiIiIdA/Hq9pXAzxAoNfoMmCyc84PYGYLgbXAd4/z+IHA3mb7ecCsY53jnPOZWSmQbmY1wHeAi4BjDuszs1uAWwAyMzPJyck5TjgnVlFRcdrPEckWrmmaQ5OdXH1aP2tXb6v20hHtNBi4aGgMr+4OzH37y9s7qTqUz0VDO88iy3o9tY3aSUREJHIcM5Fyzq00s8pmh3oCxcHttHAGBdwF/No5V3G8OTzOuQeBBwGmT5/u5s6de1rfNCcnh9N9jkhVUlnHpldeC+3/56dnM7h34ik/X1duq/bUUe107hzH1/++hqW5hQA8saWOc6dN5JIJ/cL+vduDXk9to3YSERGJHMedI+WcaxxW93NgrZk9EuyNWgP89ATPnU/gw/JGg4LHWj3HzGIIJGhFBHqu7jGzXcC3gO+Z2a0n+mHk2Jbm7scXnDszaXDP00qiJPJERxm/+dwUpgzpCYBzcNuTa1mzu8TbwERERES6qLZW7fsHcCbwLPAv4Czn3FMneNgqYJSZDTOzOOBaYNER5ywCFgS3Pwu84QLOdc5lOeeygN8AP3PO3d+WWKV1i9c3rTXxqTO0eGtX1CMumoe+ND1UFr3W5+fmhavYcbDC48hEREREup7jJlJmNjb4dSrQn8A8pzxgQPDYMTnnfMCtwFJgM/BP51yumd1tZlcET/srgTlR24BvA0eVSJfTd6iilve2HwrtXzZRiVRXlZ4czyNfnknvpDgASqrqueFvqzhUUetxZCIiIiJdy/GKTUAgubkF+L9W7nPABcd7sHNuCbDkiGN3NtuuAa4+wXPcdYIY5QRe2rifxorYM7J6MaBnD28DkrDKykjioQXTuf4v71NT72dPcRU3PrKKJ75yJsnxJ/qTFxEREZG2ONEcqVuCX89v5XbcJEoix+IPC0Lbl58xwMNIpKNMHdKL3147hcZaLevzSrnl0dXU1GvBXhEREZH20KY5Umb2DTPr2Wy/l5l9PWxRSbspLKth5a5AscUog0sndo4qbnL6Lh7fj598ekJo/73tRfznP9biC64lJiIindRdpU03EfFMmxIp4CvOucONO865EuArYYlI2tWSDftwwWF9s4al0zclwduApEN9ftZQ/ufiMaH9VzYVcsezG/A3jvUUERERkVPS1kQq2pot6GRm0UBceEKS9tS8Wt/lk1Rkojv6+twR3DJneGj/mTV5/OTFzTinZEpERETkVLU1kXoZeMrMLjSzC4F/BI9JBCs4XB1aRyg6yrh0ghKp7sjM+O6lY/nc9KZl3R5+dyf3v7HNw6hEREREOre2lvD6DoHqfV8L7r8KPBSWiKTdvNisN+rsEemhktjS/ZgZP7tqImU19by0cT8A//fqR6QkxHDDOcM8jk5ERE5Kwdqm7QFTvItDpJtrayLVA/iLc+4BCA3tiweqwhWYnL7F65uq9X1K1fq6vego4zfXTqb8kdW8sy2wrthd/95ETHQUXzhzqMfRiYhImz04t2lbBSdEPNPWoX2vE0imGvUAXmv/cKS97C6q5MO8wD/X2Gjj4vGq1icQHxPNn784jSlDeoaO/eD5jTyxYo93QYl0AmZ2iZltNbNtZnbU4vFm9m0z22Rm683sdTPTpxMiIl1cWxOpBOdcReNOcDsxPCFJe2heZOLcUX1IS4z1MBqJJEnxMSy8cSaTBqWFjn3vuQ08tUrJlEhrgqMw/gBcCmQD15lZ9hGnrQWmO+fOAJ4B7unYKEVEpKO1NZGqNLOpjTtmNg2oDk9I0h5aVOs7Q0UmpKXUhFgevWkWEwc2JVN3PLuBp1fv9TAqkYg1E9jmnNvhnKsDngTmNz/BObfMOdc43P19YFAHxygiIh2srYnUt4CnzextM3sHeAq4NWxRyWnZdqCCzfvKAIiLieKi7EyPI5JIlNYjlsdumsn4AakAOAf/+6/1PLlSPVMiRxgINP+UIS947FhuAl4Ka0QiIuK5NhWbcM6tMrOxQOPKnludc/XhC0tOR/MiExeM6UtKgob1Set6Jsbx+E2zuP6hFWzeV4ZzgZ6pqroGbpytan4iJ8vMvgBMB847xv23EKiCS58+fcjJyem44DqBiooKtckRWmuTuc22u2t76bVyNLXJ0cLdJm2t2geBJCobSACmmhnOuUfDE5acKucc//6wKZHSIrxyIr2S4nji5ll88eEVbMwP9GTevXgT1fUNfOP8kR5HJxIR8oHBzfYHBY+1YGafAL4PnOecq23tiZxzDwIPAowZM8bNnTu33YPtzHJyclCbtNRqm+Q0bXbX9tJr5Whqk6OFu03aNLTPzH4E/D54O5/AJNorwhaVnLIt+8vZfrASgMS4aC4Y29fjiKQz6JUUxxNfOZNpQ3uFjt27dCv3vLwF55yHkYlEhFXAKDMbZmZxwLXAouYnmNkU4M/AFc65Ax7EKCIiHaytc6Q+C1wI7HfOfRmYBKQd/yHihea9UZ8Yl0li3Ml0Okp3lpoQy6M3zuTsEemhY3/M2c6PFuXS4FcyJd2Xc85HYF7wUmAz8E/nXK6Z3W1mjR8q3gskE5hPvM7MFh3j6UREpIto67vsauec38x8ZpYKHKDlMAeJAM45/t18Ed5JWoRXTk5SfAwP3zCDr//9A97YEvhQ/dHluzlUUct910wmITba4whFvOGcWwIsOeLYnc22P9HhQYmIiKfa2iO12sx6An8B1gAfAMvDFZScmvV5pewtDlSlT0mIYc7oDI8jks4oITaaB74wrUXZ/CUb9vOlh1dSWq0aMyIinkvu13QTEc+csEfKzAz4uXPuMPCAmb0MpDrn1oc7ODk5zYf1XTy+H/Ex6j2QUxMXE8Xvrp1C35QEHn53JwArdxZzzQPLeeTGGfRP6+FxhCIi3djtW72OQERoQ4+UC8w0X9Jsf5eSqMjj97sWi/BqWJ+crqgo44eXj+N7l40NHdtaWM5Vf3yPTQVlHkYmIiIi4r22Du37wMxmhDUSOS1r9pSwv6wGgN5JcS0KBoicKjPjljkj+M3nJhMTZQDsK63hsw+8xyu5+z2OTkRERMQ7bU2kZgHvm9l2M1tvZhvMTL1SEaT5sL5LJvQjNrqtv1qRE/v0lIE88uWZpMQHRgNX1TXw1cfX8Kec7SqPLiIiIt3ScedImdkQ59we4OIOikdOga/Bz5INzYb1naFhfdL+Zo/K4LlvnM2Nj6xmT3EVzsEvX97CxwfK+flVEzUnT0Sko2x9qWl7zKXexSHSzZ2o2+J5AOfcbuA+59zu5rewRydt8v6OYg5V1AHQNyWemcN6exyRdFUj+6bw/DfOafEae/aDfK758/sUHK72MDIRkW7kH9c23UTEMydKpKzZ9vBwBiKn7tm1eaHtT57Rn+goO87ZIqend1Icj980i2umDwod+3DvYS7//Tu8u+2Qh5GJiIiIdJwTJVLuGNsSISprfby8sWnS/2emDjrO2SLtIy4mil9+5gzuvDw7VISiuLKOL/51BX9Ytg2/X/8uREREpGs7USI1yczKzKwcOCO4XWZm5Wam+scRYGnufqrqGgAYnZnM+AGpHkck3YWZcePsYTzxlTPpkxIPgN/BvUu3cstjayiprPM4QhEREZHwOW4i5ZyLds6lOudSnHMxwe3Gfb1jjwD/+qBpWN9VUwcRWD9ZpOPMHNabF785m5lZTfOmXttcyKW/fZvl24s8jExEREQkfFQjuxMrOFzNe8E3qmbw6ckDPY5Iuqu+qQn8/SuzuHn2sNCx/WU1XP/Q+9y7dAv1DX4PoxMRERFpf0qkOrHn1+XTuITP7JEZ9EtL8DYg6dZio6P4weXZPPSl6fRKjAXAOfjDsu1c8+fl7C6q9DhCERERkfajRKqTcs7x7Af5of2rpqo3SiLDJ7IzeflbczhnZHro2No9h7nkN2+z8L1dKkQhIiIiXUJYEykzu8TMtprZNjO7o5X7483sqeD9K8wsK3j8IjNbY2Ybgl8vCGecndH6vFK2HagAIDEumovH9/M4IpEmmakJPHbjLL5zydhQVb/q+gZ+tCiX6x96n73FVR5HKCIiInJ6wpZImVk08AfgUiAbuM7Mso847SagxDk3Evg18Mvg8UPAp5xzE4EFwGPhirOz+vuKpvWQL53Qn8S4GA+jETlaVJTxtbkjeO7r5zA6Mzl0/P0dxVz8m7d4dLl6p0RERKTzCmeP1Exgm3Nuh3OuDngSmH/EOfOBhcHtZ4ALzcycc2udcwXB47lADzOLD2OsnUppVT2LPiwI7V8/a4iH0Ygc38RBafz7m7P5+twRNK4VXVXXwJ0v5HLVn94jt6DU2wBFRDqb/pOabiLimXB2YwwE9jbbzwNmHesc55zPzEqBdAI9Uo0+A3zgnKs98huY2S3ALQCZmZnk5OScVsAVFRWn/Rwd4ZVd9dTUB6qgDU6JomzHOnJ2dmzZ887SVl5TOzWZmQAZsxJ4aEMtBZWBnqh1ew/zqd+/w9z+jhrfMhJiVL7/ePR6EhEAvvqW1xGICOFNpE6bmY0nMNxvXmv3O+ceBB4EmD59ups7d+5pfb+cnBxO9znCzTnH3WveBAKLnX7tE+M534Meqc7QVpFA7dTSXOD6Tzbwx5ztPJCznboGP34HbxQYWyr9fPeycVx+Rn+th3YMej2JiIhEjnAO7csHBjfbHxQ81uo5ZhYDpAFFwf1BwHPAl5xz28MYZ6eyfHsROw4Gykgnx8cwf/IAjyMSOTkJsdF8+6LRvPStczlreFNlv4LSGr75j7Vc8+flbMjTcD8RERGJbOFMpFYBo8xsmJnFAdcCi444ZxGBYhIAnwXecM45M+sJvAjc4Zx7N4wxdjqPNysycdXUgSTFR3SnosgxjeiTzBNfmcWvPzeJlLim46t2lXDFH97hf57+kANlNd4FKCIiInIcYXsXHpzzdCuwFIgGHnbO5ZrZ3cBq59wi4K/AY2a2DSgmkGwB3AqMBO40szuDx+Y55w6EK97OoLCshldyC0P7XzhzqIfRiJw+M+PKKYOIO/Qxa2szeeS9Xfj8Dufg6TV5LF6/jxvOyeI/5owgLbjIr4hIt7f6b03b07/sXRwi3VxYuzOcc0uAJUccu7PZdg1wdSuP+wnwk3DG1hk1vskEmJnVm9GZKR5HJNI+kmKNH1yUzfWzhvCzJZt5bXPgM5Pq+gb+lLOdx9/fzVfnDOfL5wxTL6yIyOJvNW0rkRLxTFgX5JX2U15Tz+PvNw3ru3H2MA+jEQmP4X2SeWjBDB69cSbj+qeGjpfX+PjVKx8x555lPPzOTmrqGzyMUkRERESJVKfx5Mq9lNf4ABiekcRF2ZkeRyQSPnNG9+HFb87m/uunMDwjKXS8qLKOuxdvYs49y3jwre1U1Po8jFJERES6MyVSnUBNfQMPvr0jtP+VOcOJjlJ5aOnaoqKMy88YwCv/NYd7PnMGA9ISQvcdKK/lZ0u2cPbPX+f/XtlKUcVRy8yJiIiIhJUSqU7giRV7OFgeeKOYmRrPlVMGehyRSMeJiY7imhmDWfY/c7nz8mz6psSH7iur8fH7N7Zxzi/f4K5FuewtrvIwUhEREelOlEhFuJr6Bv70ZtMyWl+fO5KE2GgPIxLxRnxMNDfOHsZb/3s+P79qIlnpiaH7aur9PPLeLubcu4ybF67mnY8P4ZzzMFoRERHp6lT+KsI99PaOUG9Uv9QEPjdj8AkeIdK1JcRGc93MIVwzfTAvbdzHn3K2k1tQBoBz8NrmQl7bXMjIvsksOGsoV04dRLIq/YmIiEg7U49UBCssq+GPOU29UbdeoN4okUbRwTlUi785m4U3zuTcURkt7t92oIIfvpDLWT97nR8+v5ENeaXqpRIREZF2o49pI9ivlm6lqi5Q5nlMZgrXqjdK5Chmxnmj+3De6D5sP1jBY8t388yavFBFv/JaH4+9v5vH3t/N2H4pXDN9MFdOGUivpDiPIxcREZHOTD1SEWpjfinPfJAX2v/B5eOIidavS+R4RvRJ5q4rxrP8uxfw/64Yz/A+SS3u37K/nLsXb2LWz17n639fw2ubCqnz+T2KVkRERDoz9UhFIOccdy/eROMopAvH9uXcUX28DUqkE0lJiGXB2Vl86ayhvL+jmKfX7GXJhn3U1AeSproGP0s27GfJhv2kJsRw6YT+fGrSAM4aka6lBUQk8o2+xOsIRAQlUhHp+XX5rNxZDEBMlPG9T47zOCKRzsnMOGtEOmeNSOeuK8bz4vp9PLVqL+v2Hg6dU1bj46nVe3lq9V4ykuP55MR+XDqxP9OH9lIvsIhEpuuf8joCEUGJVMQ5WF7L//v3ptD+grOzGNEn2cOIRLqG1IRYrps5hOtmDuGjwnKe/SCfxesLyCupDp1zqKKWhct3s3D5bnolxnL+2L7My+7HnNEZJMbp36WIiIg00TuDCHPXolwOV9UDMLBnD7590WiPIxLpekZnpnDHpWP5ziVjWLv3MIvWFfDihn2hpQYASqrqefaDfJ79IJ/4mChmj8zgouxMLhyXSZ9miwKLiIhI96REKoK8vHE/L27YF9r/+VUTSdL6NyJhY2ZMHdKLqUN68cPLs1mxo4glG/fx6qZCCsuakqpan5/Xtxzg9S0HgA1k909lzug+zBmVwbSsXsTHaFkCERGR7kbv0iPE4ao6fvjCxtD+1dMGMWe0CkyIdJToKOPskRmcPTKDu6+YwIb8Ul7dVMirmwrZWlje4txN+8rYtK+MB97cTo/YaGYN782cUX2YMzqDEX2SMVPBChEJo2U/b9o+/7vexeEh5xx+f6AqlwvuA0SZEaWiQdJBlEhFAOcc3312Q2hYUZ+UeH7wyWyPoxLpvqKijEmDezJpcE9uv3gMu4sqQ0nVmt0l+PxNC/tW1zeQs/UgOVsPApCRHM+sYb2ZOaw3s4b3ZnTfFF3URaR9vfmLpu0OTKQa/I6KWl/gVuOjqs5HdX0DNfUNVNf5qarzBbaD+033NYS26xv81Dc46hr8+ILb9Q1+6hr8gft8Lfd9DQ6/c8Fk6YiAli5pNU4ziI2KIjrKiIk2YqMD27FRRkx0FPExUfSIi6ZHbDSJcdHB7Rh6xEWRGBdDj9hokuKjSesRS2pCbOBrj8DXtMRYkuNi9H9dACVSEeHpNXm8tHF/aP9nV04kLTHWw4hEpLmh6UncfO5wbj53OBW1PpZvL+Ltjw/y9seH2HmossW5hypqeXHDvtAw3bQesczI6s2Zw3szPas32f1TiYtRNUAR8Uadz8/hqjqKq+oorqyjpLKe4qo6SirrKKuup7wmkCiV1dRTUesL7Nf4KK+pp7Kuwevw28S5wDIXNAD17f/8URZYZiOtRyy9k+LISI6nT0rga2A7PrgdR0ZKPCnxMRqp0EUpkfLYrkOV3LUoN7T/+VlDuCg708OIROR4kuNjuCg7M/R3ure4irc/PsTbHx/kve1FlFa3vGqXVtfz2uZCXttcCEBcdBTjB6YyeXBPJg/uydQhvRjUq4cusiJyypxzlNX4OFBWQ2FZLfvLaigsqwntF5bXUFQRSJbKa31eh9uuGv91GoF5rw3+I7ut2p/fBf63l1bXs6e46oTnx8dE0T8tgf5pPejfM4EBzb4O6BnYTk3QB+idkRIpD9X5/Nz21Dqqgp/wDO+TpCF9Ip3M4N6JXD9rCNfPGoLf79haWM6KHUWs3FXMih3FFFXWtTi/rsHP2j2HWbvncOhYelIckwf3ZMqQnkwc1JPxA1LJSFZlQBFpUlHrY29xFXuLq5jX7Pi8X79JXkl16L1EuCXHx5CSEENyfAyJ8TH0iI2iR2xgeFxCbGC43FH7wWF08TFRxMVEERsduMXFWGg7NjqKuOio0FC8uOgoYmOMmOAQPWhMlgIJU05ODnPnzm01xgZ/YHhgg9/ha3DU+wNDBH3Br7U+f2hYYnVdA1V1DaHt6vrAfkVNoFeuMWEqC95Kq0++Z67W52dXURW7io6ddCXHxzCgZwJDeieRlZ7I0PREhqQHtgf27KF1DSOUEikP/WzJZj4MLgwaG2387top9IhT9S+RzioqyhjXP5Vx/VO54ZxhOOfYfrCSFTuLWLmzmLV7Drf66WVRZV2zqoABmanxZPdPZfyANLIHpDJ+QCr+oyYIiEhX4pyjsKyWbQcq2HagnG0HK1j9UTW3v/MahyqaKonuSmh6zEeFFSf1PaKjjF6JsfRKjAvckgLD03omxtGzRywpCbEkJwSSpZT4mBb7nWVuUHSUER0VvvdT9Q1+yqrrOVxdT1FFHYcqagO38loONt+vqOVQeR3V9SdOvCpqfXxUWNHq7zM6yhjUqwdDeieSlZ5EVkYSo/omMyozmX6pCRrR4CElUh55fm0+j7y3K7T/vxePZcLANO8CEpF2Z2aM7JvMyL7JfH7WUACKKmpZt/dwi1t5zdFDbQrLaiksO8iyYBELgB4xMHHrcsb2TwleRANf09V7JdLp1Poa+LiwgtyCUnILythUUMbW/eXHGHpX28qxlnrERtMvLYG+KfFkpiaQmdr4NXDLSI4jPSmelITOkQxFstjoKNKT40lPjmdEGwosl9fUs6+0hoLD1ewrrWHf4WoKSmvYV1rNvsM1FJRWU1PvP+bjG/yO3UVV7C4KDCVvLiU+hpGZyYzum4KV12MDDjKqbzL905RgdQQlUh7YvK+MO55dH9q/dEI/bj53mIcRiUhHSU+O58JxgYV9Afx+x45DFazdE0iqcgvK2LK/rNWLarUPVu4qZuWu4pbPmRTHyL7JjM5MYVRmcmg7PSlOF1KRCOD3O7YdrGDN7hI+2F3ChvxSth2oaFEB9ETioqMY1KsHg3onwp6m4/++dTaDe/cgrUes/t4jVEpCoKdvdGZKq/c75yipqievJJAs7SmuYtehSnYXV7G7qLLFuoZHKq/1tRgu/uTWlUBgqOCYfilMGJDKhIFpTBiYxqi+yRoi2M6USHWw4so6/uPxNaE3SSP6JHHv1ZP0z0+km4qKMkb2TWFk3xSunj4YCHz6uPNQRehT6tyCMnILSimpar38VFFlHUU7i1mxs2WC1SsxlqyMpMBQkPQksjISGZYRGBaiic0i4VNeU8+6vYcDidOew6zdU9Jqz3NrUhJiAj3ZfQIfilQX7uTKC89iUK/E0Fwh7mo6f+IgjWbp7MyM3klx9E6K44xBPY+6v7qugb0lweSqqIodhyqCwwDLj/m6qqj1sWZ3CWt2l4SOxcdEMa5/KhMGpjJxYBrjB6QxOjNFlWRPgxKpDlRV5+PGR1axOzjZMCkumj9/cRrJ8fo1iEiT6GbJ1fzJA4HAJ5bPLV1G2tDxfFRYwccHyvm4sIJtByqOOf6+pKqekiMKWzTqnRRHVnoiWRlJDEtPYkhwQvOgXon0TYnX0B+Rk1BT38AHe0p4b1sR724/xPq80jZVjxvSO5HxwTmQjfMh+6bEt/hwNSdnL0PTk8IZvkS4HnHRjM5MOapHyznHgfJaPg4mVW+u+4jK6BQ+KiynrJUEq9bnDw0pbxQXHcWEgalMz+rNtKG9mD60l4aLnwS9g+8g1XUN3PLomtCL1wz+75pJjOzbejeviEhzZkbvhCjmNhsWCIEhQ/mHq/n4QHkgwSoMTFL/+EDFcat4FVcG1pD5oJUkKzbaGNCzB4N69QglV6Ht3on0S01o+mRcpBvy+x0bC0p5Z9sh3ttWxKpdxdT6jj3HBSAjOY4pQ3oxbWgvJg/uSfaAVPUMy2kxs9AcuNmjMhju283cuWeHEqxNBWVsyC9lQ34pufmlFJTWHPUcdQ1+PthzuMW1YHhGUiCpyurF9KzeDM9I0sipY1Ai1QFKq+q55bHVLYbd3PWp8Vwyob+HUYlIVxAVZQzuncjg3olcMLZlgrW/rIZdRZXsOlTFrqJKdh6qZHdRJbuKqqg7zpu++oamic2tiYmywIT2tAT6BS/i/dMS6JcW2O6XGthOiFUVUuk6Kmt9vLPtEK9vLuSNLQdbVNE7khmM65fKtKGBxGnqkF4M7t2O68VNXdA+zyNdUvME6/yxfUPHD1XUkltQxsb8UjYGE6y8kuqjHr/jUCU7DlXy9Jo8IDCCYUZWL2aPzOCckRkMU2IVokQqzHYequTmhavYfrAydOz2eaNZcHaWd0GJSJcXFRXoVRrQswdnj2h5n9/v2FdWw65DlcFEq5L8w9XklQRuxUesfXUkn99RUFrT6qebzfVMjKVfagKXn9GfWy8Ydbo/kkiHyz9czeubC3l98wGW7yg67gcQwzOSOHtkOueMyODM4en0SooLX2BX/C58zy1dVkZyPOeN7sN5o5tKDRZV1IbmUq3eXcKGvFLqGlq+zosr61iaW8jS3MDC8v3TEjhnZAazR2Zw9sh0+qYk0F0pkQoT5xzPrc3nh89vbLFw23cvHctXzxtxnEeKiIRXVJQxsGdgqN45IzOOur+qzkd+SWNiVUVesyQrv6T6uJ/EN3e4qp7DVfWcOTy9vX8EkbDZW1zFixv2sWTDPtbnlR7zvN5JcZw3ug9nj0jnnJEZDOjZowOjFGkf6cnxzBvfj3nj+wGB+X4b8ktZvauE1buKWbOnhMNHFDraV1rDM2vyeCbYYzU6M5lzRmZwwdi+zBqW3q2KVyiRCoNtByr4yYubyGm2/ktcTBS/unoSV0wa4GFkIiInlhgXE1ij6hilemvqGygsq2F/aQ37m31tPBZYA6smVNq5f1r3/bRSOoc9RU3J04b8YydPY/ulcOG4vlwwNpPJg3tqrqB0OQmx0czI6s2MrN7AiFDp/ve2HeKdbUWs2FF01FpnjQsJ/+3dXaQkxHDB2L7My+7HeWP6dPmCal37p+tADX7H6l3F/H3FHhavL6B5sZ6s9ETuv36qFtwVkS4hITaaoelJx60k5vc7DlXWUlhaS0ZKGIc4iZyivJIqFq/fx4vrj508xUYbZ43I4KJxfTl/bF8G9Urs4ChFvBUVZaGKgTecMwxfg5/1+aW8+/Eh3tl2iA/2lFDf0PSmt7zGxwvrCnhhXQFxMVHMHpnBvOxAkaQ+KV2vGqASqVNUXFnHhsbJenmlrNxVfNS8AjNYcFYWt188pstn5CIizUVFGX1TErr12HmJPMWVdby4YR+L1uWzaldJq+fERhvnjurDZRP7c9G4TNISI7Cy3qL/bNrWfCnpQDHRUUwdEiig8s0LR1FV52PVrhJyth7gldxC8g83Fa+o8/l5Y8sB3thyALMNTBvSi3njM5mX3Y+sjK5R0j+s7+7N7BLgt0A08JBz7hdH3B8PPApMA4qAzznndgXv+y5wE9AA/Kdzbmk4YwXwO8eKHUVU1zcwOjOF/mkJmBl5JVW8uqmQD/ceZvvBSgrLajhQfvw5AueOyuB/Lh7T6sJqIiIi0jEqa328trmQF9YV8NZHB0NDTptrkTxlZ5LWIwKTp+Y+WNi0rURKPJQYFxMqYHHn5dls2lfGK7mFvLKpkM37ykLnOQergwUtfrZkC2MyU0JJ1YSBqZ22CmDYEikziwb+AFwE5AGrzGyRc25Ts9NuAkqccyPN7Frgl8DnzCwbuBYYDwwAXjOz0c65Yy+KchrqG/w8tzaf+96uZv/S90PHU+JjiI2JOmEFq0YZyfFcPD6T62YO0TA+ERERj9Q3+Hnro4O8sK6AVzcVtrpodXSUcc7IDK6YNKBzJE8iEc7MGD8gjfED0vivi0azt7iKVzYV8kruflbtKm4x7WVrYTlbC8v5/Rvb6J+WwLzsTOaN78fMYb2Jje48xSrC2SM1E9jmnNsBYGZPAvOB5onUfOCu4PYzwP0WSEnnA08652qBnWa2Lfh8y8MR6D9X7+X7z2086nh5rQ+O0fEUFxPFuH4pTByUxsSBaUwc2JOx/VKI0sRTERGRDuf3O1bvLuGFdfks2bCPkiMqjTWaOqQn8ycP5LKJ/bvknA2RSDG4dyI3zR7GTbOHUVxZx2ubC3klt5C3Pz7YYgHrfaU1LFy+m4XLd5OaEMOF4zKZl53JeWP6kBgX2VNjwhndQGBvs/08YNaxznHO+cysFEgPHn//iMcOPPIbmNktwC0AmZmZ5OTknFKgGQ2OlDgor4MeMTAoOYr8Cj9VwaIk0QbZ6dFM6hPNkNQoesUbvRKMmCgfUASVRRz4CA58dErfvlOqqKg45fbuTtRObaN2ahu1k0hLzjm27C/nhXUF/PvDghbzM5ob2TeZT08ewBWTBjIkXQUjRDpa76Q4rpk+mGumD6aqzsdbHx3ilU37eX3zAUqrmz70KKvx8dzafJ5bm098TBTnjspgXnY/LhzXl/TkyPvgI7LTvBNwzj0IPAgwffp0N3fu3FN+rgNJu/kwdyt3fv58UhNicc5xsKIWXOCXH9OJuhk7Qk5ODqfT3t2F2qlt1E5to3aS7qBuzx6K/vY3yhb9G39VFVGJiaRe8SnSv/xl4oYMAQJrPS36sIAX1uXzUWFFq88zIC2BT00ewPxJAxnXP6XTzsEQ6WoS42K4ZEI/LpnQj/oGP6t2FoeGADZf6L3W5+e1zQd4bfMBogxmZPXm4vH9uHhCPwZGyLpt4Uyk8oHBzfYHBY+1dk6emcUAaQSKTrTlse3qi2cOZXDNTlITAmOkzUzVpkRERDpQ3MaN7Pivb+Pq68EXGBbir6zk8NPPcPi55/noa99jYcMAPthzuNXH90yM5bKJ/Zk/aQAzsnpruL1IhIuNjuLskRmcPTKDH30qm9yCMl7J3c8rmwrZsr88dJ7fwYqdxazYWczdizcxcWAal0zox8Xj+zGyb3KL59xbtpeFmxayeMdiKusrSXoiicuHX86C7AUMTh18ZAinJZyJ1CpglJkNI5AEXQtcf8Q5i4AFBOY+fRZ4wznnzGwR8ISZ3Ueg2MQoYGUYYxUREREP1e3ZQ88H/4Kra6XAk88HPh9Dfvdj9l3w35CUEborITaKedn9mD95AOeO6kNcjEaQiHRGZsaEgWlMGJjGt+eNYXdRJa9uKmRp7n5W7y7BNStWsSG/lA35pdy7dCtnDErjqikDuWLyQHJLVvDtN7+Nr8GHzwU+jKmsr+RfH/2LF7a/wH3n3ce5g85tt5jDlkgF5zzdCiwlUP78YedcrpndDax2zi0C/go8FiwmUUwg2SJ43j8JFKbwAd8IV8U+ERGREzmd5TykbYr+9jdoOP6lPtrfwJXb3uLPUz7DnFEZzJ88kIuyM0nSWo0iXc7Q9CRuPnc4N587nIPltby6qZCXc/fz3rZDLZYxWJ9Xyvq8Un726jv0GPYb/Bz9YYzP+fD5fHz7zW/z7KeebbeeqbD+53HOLQGWHHHszmbbNcDVx3jsT4GfhjM+ERGREzmd5Tw6PtrOq2zRv7ETJFKxzs+l+9dx0/f+GJETz0UkPPqkxHP9rCFcP2sIpdX1LNtygJc27mPZloPUNQQqAFraWzQ4H8ebDulr8PHopkf5/pnfb5e41P8tIiJyfKHlPJxzdUDjch7NzQcaV0l9BrjQVN3gpPirqtp0XkxNtZIokW4srUcsn54ykD9/cTorv38hP/n0BKYM6Uls2lrM/Md9rM/5WLxjcbvF0mX6wtesWXPIzHaf5tNkAIfaI55uQG3VNmqntlE7tU13baehHn//01nOo8Xvq/myHUCtmR29iGE3NS4+fnIUFn2i8/y4hs1m6zogpEhx/L/7/9dt8/Xu+v/weLp1myRkJUxr67n2eVtzEk99zGtQl0mknHN9Tvc5zGy1c256e8TT1amt2kbt1DZqp7ZRO3V+zZft0O/zaGqTo6lNWqd2OZra5GjhbhMN7RMRETm+k1nOgyOW8xARkS5KiZSIiMjxhZbzMLM4AhVmFx1xTuNyHtBsOY8OjFFERDpYlxna104e9DqATkRt1TZqp7ZRO7WN2skDp7Ocxwno93k0tcnR1CatU7scTW1ytLC2iekDMxERERERkZOjoX0iIiIiIiInSYmUiIiIiIjISVIiFWRml5jZVjPbZmZ3eB1PJDGzXWa2wczWmdnq4LHeZvaqmX0c/NrL6zi9YGYPm9mB5mvBHKttLOB3wdfYejOb6l3kHesY7XSXmeUHX1frzOyyZvd9N9hOW83sYm+i7nhmNtjMlpnZJjPLNbPbgsf1murETnR9MbN4M3sqeP8KM8vyIMwO1YY2+Xbw72C9mb1uZl6vJRZ2bX0fYmafMTNnZl2+zHVb2sTMrmn2P/OJjo7RC234+xkSvJasDf4NXdba83QVrb3HOOL+8F0rnXPd/kZg8vB2YDgQB3wIZHsdV6TcgF1AxhHH7gHuCG7fAfzS6zg9aps5wFRg44naBrgMeAkw4Exghdfxe9xOdwG3t3JudvBvMB4YFvzbjPb6Z+igduoPTA1upwAfBdtDr6lOemvL9QX4OvBAcPta4Cmv446ANjkfSAxuf01tEjovBXgLeB+Y7nXcXrcJMApYC/QK7vf1Ou4IaZcHga8Ft7OBXV7HHeY2Oeo9xhH3h+1aqR6pgJnANufcDudcHfAkMN/jmCLdfGBhcHsh8GnvQvGOc+4tAhW6mjtW28wHHnUB7wM9zax/hwTqsWO007HMB550ztU653YC2wj8jXZ5zrl9zrkPgtvlwGZgIHpNdWZtub40//0+A1xoZtaBMXa0E7aJc26Zc64quPs+gbW7urK2vg/5MfBLoKYjg/NIW9rkK8AfnHMlAM65Ax0coxfa0i4OSA1upwEFHRhfh2vDe4ywXSuVSAUMBPY2288LHpMAB7xiZmvM7JbgsUzn3L7g9n4g05vQItKx2kavs6PdGuxmf7jZ8FC1ExAc3jUFWIFeU51ZW35HoXOccz6gFEjvkOi8cbKv25sIfJrclZ2wTYLDkQY7517syMA81JbXyWhgtJm9a2bvm9klHRadd9rSLncBXzCzPGAJ8M2OCS1ihe1aqURK2mK2c24qcCnwDTOb0/xOF+g3VR39VqhtjutPwAhgMrAP+D9Po4kgZpYM/Av4lnOurPl9ek1Jd2JmXwCmA/d6HYuXzCwKuA/4b69jiTAxBIb3zQWuA/5iZj29DChCXAc84pwbRGBY22PB15C0MzVqQD4wuNn+oOAxAZxz+cGvB4DnCHQrFzZ2iwa/dofu9LY6VtvoddaMc67QOdfgnPMDf6Fp+F63bicziyWQRP3dOfds8LBeU51XW35HoXPMLIbAUJyiDonOG2163ZrZJ4DvA1c452o7KDavnKhNUoAJQI6Z7SIwz2NRFy840ZbXSR6wyDlXHxwK/hGBxKora0u73AT8E8A5txxIADI6JLrIFLZrpRKpgFXAKDMbZmZxBCb7LvI4pohgZklmltK4DcwDNhJonwXB0xYAL3gTYUQ6VtssAr4UrB5zJlDabLhWt3PE+OQrCbyuINBO1wYrmQ0jcFFc2dHxeSE4L+avwGbn3H3N7tJrqvNqy/Wl+e/3s8AbwZ7HruqEbWJmU4A/E0iiusMHdcdtE+dcqXMuwzmX5ZzLIjBv7Arn3Gpvwu0QbfnbeZ5AbxRmlkFgqN+ODozRC21plz3AhQBmNo5AInWwQ6OMLGG7Vsa0x5N0ds45n5ndCiwlUA3lYedcrsdhRYpM4LngvOcY4Ann3Mtmtgr4p5ndBOwGrvEwRs+Y2T8I/BPPCI5F/hHwC1pvmyUEuti3AVXAlzs8YI8co53mmtlkAsPUdgFfBXDO5ZrZP4FNgA/4hnOuwYOwvXAO8EVgg5mtCx77HnpNdVrHur6Y2d3AaufcIgLJ82Nmto3AhOlrvYs4/NrYJvcCycDTwevPHufcFZ4FHWZtbJNupY1tshSYZ2abgAbgf5xzXbk3t63t8t8Ehjn+F4Fr7A1d+cOZY7zHiAVwzj1AGK+V1oXbVUREREREJCw0tE9EREREROQkKZESERERERE5SUqkRERERERETpISKRERERERkZOkREpEREREROQkKZESiSBm1mBm68ws18w+NLP/blyN3Mymm9nvvI5RREQ6DzP7fvCasj54fZnlURyTzeyyZvtXmNkdwe1HzOyzrTxmrpkt7sg4RU6G1pESiSzVzrnJAGbWF3gCSAV+FFx4sSsvvigiIu3IzM4CLgemOudqg4vWxnkUzmRgOoE1fQiud9Tt1seSrkU9UiIRyjl3ALgFuDW4Gnfokzkzm2lmy81srZm9Z2ZjgsfHm9nK4KeO681slJc/g4iIeKo/cMg5VwvgnDvknCsws13BpKpxtENOcPu84PVjXfD6khI8/h0z2xAcKfGL4LERZvayma0xs7fNbGzw+CNm9oCZrTazj8zscjOLA+4GPhd87s+Z2Q1mdn+zWD/R/DFH/iBmlmRmDwevcWvNbH4Y202kTdQjJRLBnHM7zCwa6HvEXVuAc4MrnH8C+BnwGeA/gN865/4evHBFd2zEIiISQV4B7jSzj4DXgKecc28e5/zbgW845941s2SgxswuBeYDs5xzVWbWO3jug8B/OOc+Dg4X/CNwQfC+LGAmMAJYBowE7gSmO+duBTCzG4743i0eY2Yjj7j/+8AbzrkbzawnsNLMXnPOVba9OUTalxIpkc4pDVgY7HFyQGzw+HLg+2Y2CHjWOfexVwGKiIi3nHMVZjYNOBc4H3iqcV7SMbwL3GdmfydwDckLflj3N+dcVfA5i4NJ1tnA02bW+Nj4Zs/zT+ecH/jYzHYAY9sQ7okeMw+4wsxuD+4nAEOAzW14bpGwUCIlEsHMbDjQABwAxjW768fAMufclWaWBeQAOOeeMLMVwCeBJWb2VefcGx0btYiIRArnXAOBa0SOmW0AFgA+mqZ3JDQ79xdm9iJwGfCumV18jKeNAg43zult7dueYP9UHmPAZ5xzW9vwXCIdQnOkRCKUmfUBHgDud84deUFJA/KD2zc0e8xwYIdz7nfAC8AZHRCqiIhEIDMbc8Rc2cnAbmAXMC147DPNzh/hnNvgnPslsIpAr9CrwJfNLDF4Tm/nXBmw08yuDh4zM5vU7PtcbWZRZjYCGA5sBcqBlOOE29pjmlsKfNOCXWBmNqWt7SASLkqkRCJLj+BE3FwC49lfAf5fK+fdA/zczNbSsmf5GmCjma0DJgCPhjleERGJXMkEhoFvMrP1QDZwF4Hrym/NbDWBUQ+NvmVmG4Pn1gMvOedeJlBdb3Xw2tI4tO7zwE1m9iGQS2AeVaM9wErgJQLzqGoIzJXKbiw20UqsrT2muR8TGMa+PniN/PHJN4dI+7KjP+gWERERETl5ZvYIsNg594zXsYiEm3qkRERERERETpJ6pERERERERE6SeqREREREREROkhIpERERERGRk6RESkRERERE5CQpkRIRERERETlJSqRERERERERO0v8HDPVzDAGKuw0AAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 864x432 with 3 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plotdata(t_01,np.mean(S, axis = 0), np.mean(I, axis = 0))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Infected population [%]')"
+      ]
+     },
+     "execution_count": 21,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Con intervalo de confianza del 95%\n",
+    "\n",
+    "m, m_minus, m_plus = mean_confidence_interval(I, 0.95)\n",
+    "\n",
+    "I_mean = np.mean(I, axis = 0)\n",
+    "\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(t_01,I_mean)\n",
+    "ax.fill_between(t_01, m_minus, m_plus, color='b', alpha=.1) #Para el intervalo de confianza\n",
+    "ax.set_xlabel('Time [days]')\n",
+    "ax.set_ylabel('Infected population [%]')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Escenario 2 \n",
+    "\n",
+    "En este escenario se busca reducir los días en que un individuo está en contacto con otras personas mientras está contagiado de 8.73$\\pm$ 3 $\\Rightarrow$ 3 $\\pm$ 1.\n",
+    "\n",
+    "Este aspecto fue tenido en cuenta en el ejercicio 1 en el parámetro $\\tau_{infectividad}$, por lo que en este caso la distribución de este parámetr se modificará para cumplir las condiciones del escenario.\n",
+    "\n",
+    "(Se asume que las personas infectadas se aislan por el resto del tiempo en que están en la fase contagiosa de la infección, el cómo se ejercería este control de aislamiento está fuera del alcance de este ejercicio.)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "tau_inf = np.random.normal(3, 1, 1000)\n",
+    "plt.hist(tau_inf, density=True, bins=100)\n",
+    "plt.ylabel('Probabilidad')\n",
+    "plt.xlabel('Dias contagioso');"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Se evalúa el sistema de ecuaciones deriv, con la nueva distribución para el tiempo de infectividad tau_inf, con la distribución de $R_0$ usada en el ejercicio 1."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 864x432 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "gamma = 1/tau_inf\n",
+    "beta = s_R0*gamma\n",
+    "\n",
+    "S = []\n",
+    "I = []\n",
+    "R = []\n",
+    "\n",
+    "for i in range(0,1000):\n",
+    "    soln = odeint(deriv, x_inicial, t, args=(beta[i], gamma[i]))\n",
+    "    s,i,r = soln.T\n",
+    "    S.append(s)\n",
+    "    I.append(i)\n",
+    "    R.append(r)\n",
+    "\n",
+    "plotdata_01(t,np.mean(S, axis = 0), np.mean(I, axis = 0))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Infected population [%]')"
+      ]
+     },
+     "execution_count": 25,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Viendo el intervalo de confianza de 95%\n",
+    "\n",
+    "m, m_minus, m_plus = mean_confidence_interval(I, 0.95)\n",
+    "\n",
+    "I_mean = np.mean(I, axis = 0)\n",
+    "\n",
+    "fig, ax = plt.subplots()\n",
+    "ax.plot(t,I_mean)\n",
+    "ax.fill_between(t, m_minus, m_plus, color='b', alpha=.1) #Para el intervalo de confianza\n",
+    "ax.set_xlabel('Time [days]')\n",
+    "ax.set_ylabel('Infected population [%]')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Recomendación \n",
+    "\n",
+    "Basado en los resultados obtenidos, yo recomedaría al gobierno implementar el escenario 1, un programa de confinamiento de toda la pobalción, ya que para este caso se observó que se alcanzaba el máximo de contagio en un tiempo mayor (máximo ligeramente menor a 0.08 aproximadamente en el día 70) que en el escenario 2 (máximo un poco menor a 0.150 antes del día 25). Atenuar la curva (escenario 1) es una opción atractiva debido a la capacidad hospitalaria limitada, y tener un pico de infección demasiado pronto (escenario 2) puede ser conflictivo debido a la poca preparación que se tendrá para lidiar con la mayor cantidad de gente infectada.\n",
+    "\n",
+    "### Discusión\n",
+    "\n",
+    "Los modelos utilizados tienen muchas limitaciones, en primer lugar, hay muchos factores que no se consideran: la ṕosibilidad de reinfección, las muertes, las diferentes poblaciones (en términos de edad y posibilidad de transmitir/contraer la enfermedad en base a esto u otros factores). Como se mencion'durante la sesión, el modelo en que se basó la actividad es un modelo básico en el que no se consideran todas las variables y parámetros posibles.\n",
+    "\n",
+    "No haría mis recomendaciones con mucha confianza debido a las limitaciones de los modelos, sin embargo estos, aunque sean básicos, muestran que es mejor hacer lago (distanciamiento social, confinamiento de las personas infectivas) que no hacer nada, ya que en ambos casos los picos de infección son menores que en el caso en que no se toman medidas. "
+   ]
   }
  ],
  "metadata": {