Preprocessing.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b71503ab-e5c4-45e3-9530-60c01ab21a0b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Preprocessing complete. Files saved correctly, including User_Key in test set.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\PMLS\\AppData\\Local\\Temp\\ipykernel_20324\\3049161546.py:9: FutureWarning: A value is trying to be set on a copy of a DataFrame or Series through chained assignment using an inplace method.\n",
      "The behavior will change in pandas 3.0. This inplace method will never work because the intermediate object on which we are setting values always behaves as a copy.\n",
      "\n",
      "For example, when doing 'df[col].method(value, inplace=True)', try using 'df.method({col: value}, inplace=True)' or df[col] = df[col].method(value) instead, to perform the operation inplace on the original object.\n",
      "\n",
      "\n",
      "  train_df[\"Annual_Income\"].fillna(train_df[\"Annual_Income\"].median(), inplace=True)\n",
      "C:\\Users\\PMLS\\AppData\\Local\\Temp\\ipykernel_20324\\3049161546.py:10: FutureWarning: A value is trying to be set on a copy of a DataFrame or Series through chained assignment using an inplace method.\n",
      "The behavior will change in pandas 3.0. This inplace method will never work because the intermediate object on which we are setting values always behaves as a copy.\n",
      "\n",
      "For example, when doing 'df[col].method(value, inplace=True)', try using 'df.method({col: value}, inplace=True)' or df[col] = df[col].method(value) instead, to perform the operation inplace on the original object.\n",
      "\n",
      "\n",
      "  test_df[\"Annual_Income\"].fillna(test_df[\"Annual_Income\"].median(), inplace=True)\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from sklearn.preprocessing import LabelEncoder, StandardScaler\n",
    "\n",
    "# Load datasets\n",
    "train_df = pd.read_csv(\"participants_training_dataset.csv\")\n",
    "test_df = pd.read_csv(\"participants_test_dataset.csv\")\n",
    "\n",
    "# Fill missing values in Annual_Income with median\n",
    "train_df[\"Annual_Income\"].fillna(train_df[\"Annual_Income\"].median(), inplace=True)\n",
    "test_df[\"Annual_Income\"].fillna(test_df[\"Annual_Income\"].median(), inplace=True)\n",
    "\n",
    "# Convert Reg_Date to datetime and extract features\n",
    "train_df[\"Reg_Date\"] = pd.to_datetime(train_df[\"Reg_Date\"], format=\"%d-%m-%Y\")\n",
    "test_df[\"Reg_Date\"] = pd.to_datetime(test_df[\"Reg_Date\"], format=\"%d-%m-%Y\")\n",
    "\n",
    "train_df[\"Reg_Days_Since\"] = (pd.to_datetime(\"2025-02-01\") - train_df[\"Reg_Date\"]).dt.days\n",
    "test_df[\"Reg_Days_Since\"] = (pd.to_datetime(\"2025-02-01\") - test_df[\"Reg_Date\"]).dt.days\n",
    "\n",
    "# Convert Birth_Year to Age\n",
    "train_df[\"Age\"] = 2025 - train_df[\"Birth_Year\"]\n",
    "test_df[\"Age\"] = 2025 - test_df[\"Birth_Year\"]\n",
    "\n",
    "# Drop unnecessary columns (KEEP User_Key in test dataset)\n",
    "columns_to_drop_train = [\"User_Key\", \"Reg_Date\", \"Birth_Year\"]\n",
    "columns_to_drop_test = [\"Reg_Date\", \"Birth_Year\"]  # Keep User_Key\n",
    "\n",
    "train_df.drop(columns=columns_to_drop_train, inplace=True)\n",
    "test_df.drop(columns=columns_to_drop_test, inplace=True)\n",
    "\n",
    "# Encode categorical features\n",
    "label_encoders = {}\n",
    "for col in [\"Edu_Level\", \"Family_Status\"]:\n",
    "    le = LabelEncoder()\n",
    "    train_df[col] = le.fit_transform(train_df[col])\n",
    "    test_df[col] = le.transform(test_df[col])\n",
    "    label_encoders[col] = le\n",
    "\n",
    "# Standardize numerical features\n",
    "scaler = StandardScaler()\n",
    "numeric_features = [\"Annual_Income\", \"Reg_Days_Since\", \"Age\"]\n",
    "train_df[numeric_features] = scaler.fit_transform(train_df[numeric_features])\n",
    "test_df[numeric_features] = scaler.transform(test_df[numeric_features])\n",
    "\n",
    "# Save preprocessed data\n",
    "train_df.to_csv(\"preprocessed_train.csv\", index=False)\n",
    "test_df.to_csv(\"preprocessed_test.csv\", index=False)\n",
    "\n",
    "print(\"Preprocessing complete. Files saved correctly, including User_Key in test set.\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0c86284d-c3bc-4db3-85aa-6258e2b6e190",
   "metadata": {},
   "outputs": [
    {
     "data": {
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K8JxwHA4fPjzOY9jHJ9Le8PxxH99RVlxG50FCv58IwnzZI5smvsNIXcXxh9RHGwJEzIsjopSLI0dElKwlpmwuGoFIu8HcA6zHggYcRhq2bNmiqTp2eWTMY2nVqpX2YKMhhtLPdsMzUCiBjBLH2B/mSmCtF5TyRjoR5gwlNKXLTp9CAQgUOUCvuFODBg00cEDwiFE2BC9ozCEoQeP3epCihnLQGJmye/uxrpJvoxQNUsztQEMa/wYT9jE3BaWV0bOOESWMYCXkfb8RvD/2iARGnTBihlEPpBZiP4DGOF4rUqxQLALvAeaq4H4olIAUvOvNT8Nzw3GFIBCBDB4P5ZpR2hvl0ZHGdyMDBgzQ0TrMg0LqFwJIFKjYtWuXBh6Yy4PPOVjGjBmj7z1KUSP1FAUb8BmiEAPec9/AAZ8t1gPCZ4cRMgSGmDvjLDYQHxx7WNsJrxNrIGGuFF4j5rrhcexCD3jfsCYQSu3js8Axj2ACpbxxG75vCLIx6oNjDu8R3m/8e5RiRyom9oX1hhLy/UT5bgT2CGYxyoPj5Z133tFjEK81UHhumAOHQh0YLULqKj5z+729me8wEYWQpC6XR0Tkr5T39dyolHdMTIyWwa5QoYKWA0fJZfz9zjvveO7/22+/WU8++aRVrFgxLY2dI0cOLRW+cuXKBJXy9n2OvuWv4erVq9aQIUOsfPnyWenTp9cSwCjZnDNnTqtHjx4Jfl9OnjypJa3x+D/++GOc25csWWKVL19eX0eRIkWs1157zZo+fXqcMt2+pbzh119/1bLkePy8efNaL730khUVFRXntdjllVu0aKHPH/fHe/PYY49Zq1atSvD7fjOlvPF6KlasaE2ZMsWrhLht2rRpWnoZ7y32V65cOeuFF16wjhw5ct1S3nDlyhVr+PDhWoo8TZo0VsGCBa1BgwZZly5duuGxZjt37pz+m+LFi1tp06a1cuXKZdWoUcN6/fXXtdT19eBzKFOmzA3fF7wP8ZVGP378uN6G547XgOOsbt26+r74Hpcff/yxPtc8efLo+4XXdPDgwQQ/J+yrc+fO+hrxWvFe+ytljWN+3LhxWqYc98udO7fVuHFja9u2bV73Q5nsmjVr6meDDffHa7HL1ifk+4nj7uGHH7YKFCig+8L/UeLeWV49vlLe/o4JnD98m0UoE962bVs9vlAivVOnTtZ3332n95s3b57f94qIQlsY/pPUARoR0a0CIxWY64Pec99RICLT1qxZo6M2GFG7mWqPFL9FixbpfEgsbow5UESUsnDOERFRkGCdJl/2PJfatWsnwTMiokC+w5jrhrlWSPFEoREiSnmS9ZwjTHpEGVhMBEWOOE5IyP8lIgoFmMA+c+ZMndCO+TfoacaaRZgjwx5nouQPizYjQKpevboWeUBJelTNQ1W8YJc9J6KkkTo5NyqwABxKdmLCKXpbUTlm37598S78R0SUnKBMMirWYWFUVN+yizQEWiaciNyBNZNQTGTZsmVy6dIlLWKBjloUiyCilCnZzjlCQHT33Xd7yt6i4g0WN0QvDqoWERERERERpfg5R5cvX9Zyoc4F3FBKFpexrgQREREREdEtERz99ddfOukRKShOuIz5R0RERERERLfMnKObhYmSvitiR0RE6EZERERERBSSwRFWFccq2FjF2wmX8+XL5/ffYKX04cOHe10XKaWkWFiZoD5XIiIiIiJK/qJi54dmWl3atGmlcuXKsmrVKs91KMiAyyin6c+gQYPkzJkzXluklHTxWRMRERERUShLliNHgDLeHTt2lCpVqujaRijlfeHCBencubPf+/tLoQsPS+XSsyUiIiIiolCXbIOjxx9/XP78808ZOnSoFmGoWLGiLF++PE6RBiIiIiIiohS9zpEJ9cNbJfVTICIiIiKiZCBk5xwRERERERG5jcERERERERERgyMiIiIiIqJ/MTgiIiIiIiJKquCoSJEiEhYWFmfr1auX3l67du04t/Xo0SMpnioREREREd0ikqSU95YtW+TatWuey7t375b69etLq1b/X12uW7duMmLECM/lDBkyuP48iYiIiIjo1pEkwVHu3Lm9Lo8ZM0aKFSsm999/v1cwlC9fviR4dkREREREdCtK8jlHly9fltmzZ8uTTz6p6XO2OXPmSK5cuaRs2bIyaNAguXjxYpI+TyIiIiIiStmSZOTIadGiRXL69Gnp1KmT57q2bdtK4cKFpUCBArJz504ZOHCg7Nu3TxYsWBDv48TExOjmFGtdk/CwVEF9/kRERERElDKEWZZlJeUTaNiwoaRNm1aWLl0a731Wr14tdevWlf3792v6nT/Dhg2T4cOHe10XKaWkWFgZ48+ZiIiIiIhCS1Ts/OSdVnfw4EFZuXKldO3a9br3q1atmv4fwVF8kHp35swZry1SShp/zkRERERElDIlaVrdjBkzJE+ePNK0adPr3m/Hjh36//z588d7n4iICN2cmFJHRERERETJPjiKjY3V4Khjx46SOvX/P41ff/1V5s6dK02aNJGcOXPqnKN+/fpJrVq1pHz58kn1dImIiIiIKIVLsuAI6XSHDh3SKnVOmH+E2yZOnCgXLlyQggULSsuWLWXw4MFJ9VSJiIiIiOgWkOQFGYKpfvj/LypLRERERES3rqjkXpCBiIiIiIgouWBwRERERERExOCIiIiIiIgoSMHRunXrpFmzZlKgQAEJCwuTRYsWed3eqVMnvd65NWrUyOs+J0+elHbt2kmWLFkkW7Zs0qVLFzl//rzpp0pERERERBS84AgV5ipUqCCTJ0+O9z4Iho4ePerZPv74Y6/bERjt2bNHoqKiZNmyZRpwde/e3fRTJSIiIiIiCl4p78aNG+t2PVisNV++fH5v++mnn2T58uWyZcsWqVKlil731ltv6bpHr7/+uo5IERERERERpYg5R2vWrJE8efJIiRIlpGfPnvL33397btu4caOm0tmBEdSrV0/Cw8Nl8+bNSfF0iYiIiIjoFuD6IrBIqWvRooVERkbKr7/+Ki+99JKONCEoSpUqlRw7dkwDJ68nmTq15MiRQ28jIiIiIiJKEcFR69atPX+XK1dOypcvL8WKFdPRpLp16yb6cWNiYnRzirWuSXhYqoCeLxERERER3RqSvJR30aJFJVeuXLJ//369jLlIJ06c8LrP1atXtYJdfPOUYPTo0ZI1a1avLVr2Bv35ExERERFRypDkwdHhw4d1zlH+/Pn1cvXq1eX06dOybds2z31Wr14tsbGxUq1atXgfZ9CgQXLmzBmvLVJKuvIaiIiIiIgo9BlPq8N6RPYoEERHR8uOHTt0zhC24cOHS8uWLXUUCHOOXnjhBSlevLg0bNhQ71+qVCmdl9StWzeZOnWqXLlyRXr37q3peNerVIcKeNicmFJHREREREQJFWZZliUGYe5QnTp14lzfsWNHmTJlijRv3lx++OEHHR1CsNOgQQMZOXKk5M2b13NfpNAhIFq6dKlWqUMw9eabb0qmTJlu6rnUD29l5DUREREREVFoi4qd735wlJwwOCIiIiIiooQGR0k+54iIiIiIiCg5YHBERERERETE4IiIiIiIiChIwRHWG7r77rslc+bMkidPHi3AsG/fPq9iC3369JESJUpI+vTppVChQtK3b18tve0UFhYWZ5s3b57pp0tERERERBSc4Gjt2rXSq1cv2bRpk0RFRWkpblSku3Dhgt5+5MgR3V5//XXZvXu3zJw5U5YvXy5dunSJ81gzZsyQo0ePejYEWkRERERERMEQ9Gp1f/75p44gIWiqVauW3/vMnz9f2rdvrwFU6tT/Lr2EkaKFCxcGFBCxWh0RERERESWbanV2uhwWgL3efbJkyeIJjGwYgcqVK5dUrVpVpk+fLim46jgRERERESUx72jEsNjYWHn22Wfl3nvvlbJly/q9z19//aWLwHbv3t3r+hEjRsgDDzwgGTJkkBUrVsjTTz8t58+f1/lJREREREREIZVW17NnT/nqq6/k22+/ldtvvz3O7WfPnpX69evrqNKSJUskTZo08T7W0KFDdQ7S77//7vf2mJgY3ZweydpJwsNSGXglREREREQUypI0ra53796ybNky+eabb/wGRufOnZNGjRppVTvMLbpeYATVqlWTw4cPxwmAnFXysmbN6rVFy15jr4eIiIiIiFI248ERBqIQGCHgWb16tURGRvodMUIFu7Rp0+qIUbp06W74uDt27JDs2bNLRESE39sHDRqkc5ecW6SUNPKaiIiIiIgo5TM+5whFFObOnSuLFy/WUaFjx47p9RjJwbpGdmB08eJFmT17tl7GBrlz55ZUqVLJ0qVL5fjx43LPPfdo4ISS4KNGjZLnn38+3v0iaPINnJhSR0RERERESTbnCCW4/cF8oU6dOsmaNWukTp06fu8THR0tRYoU0XWPMBK0f/9+HYkqXry4zl/q1q2bhIcnfLCLpbyJiIiIiCihc46Cvs5RUmJwREREREREyWadIyIiIiIiolDA4IiIiIiIiIjBERERERER0b8YHBEREREREQUjOJoyZYqUL19esmTJolv16tXlq6++8tx+6dIlLfedM2dOyZQpk7Rs2VLLdjsdOnRImjZtKhkyZJA8efLIgAED5OrVq6afKhERERERUfCCo9tvv13GjBkj27Ztk61bt8oDDzwgDz/8sOzZs0dv79evn65jNH/+fFm7dq0cOXJEWrRo4fn3165d08Do8uXLsmHDBpk1a5bMnDlThg4davqpEhERERERuVvKO0eOHDJu3Dh59NFHdaFXLBKLv2Hv3r1SqlQp2bhxoy76ilGmBx98UIOmvHnz6n2mTp0qAwcOlD///FPSpk2b4P2ylDcRERERESWLUt4YBZo3b55cuHBB0+swmnTlyhWpV6+e5z4lS5aUQoUKaXAE+H+5cuU8gRE0bNhQzp496xl9IiIiIiIiMi218UcUkV27dmkwhPlFmFe0cOFCKV26tOzYsUNHfrJly+Z1fwRCx44d07/xf2dgZN9u3xafmJgY3ZxirWsSHpbK4CsjIiIiIqKUKigjRyVKlNBAaPPmzdKzZ0/p2LGj/PjjjxJMo0ePlqxZs3pt0bI3qPskIiIiIqKUIyjBEUaHihcvLpUrV9agpUKFCjJp0iTJly+fFlo4ffq01/1RrQ63Af7vW73Ovmzfx59BgwbJmTNnvLZIKRmMl0dERERERCmQK+scxcbGasobgqU0adLIqlWrPLft27dPS3cjDQ/wf6TlnThxwnOfqKgoLQuO1Lz4REREeMqH2xtT6oiIiIiIKMnmHGEEp3Hjxlpk4dy5c1qZbs2aNfL1119rqluXLl2kf//+WsEOAUyfPn00IEKlOmjQoIEGQR06dJCxY8fqPKPBgwfr2kgIgIiIiIiIiEIiOMKIzxNPPCFHjx7VYAgLwiIwql+/vt7+xhtvSHh4uC7+itEkVKJ75513PP8+VapUsmzZMp2rhKApY8aMOmdpxIgRpp8qERERERGRu+scJRWuc0RERERERMlinSMiIiIiIqJQweCIiIiIiIiIwREREREREVGQgqMpU6ZoEQa7nDaKKnz11Vd624EDByQsLMzvNn/+/+cA+rt93rx5pp8qERERERFR8KrV3X777TJmzBi54447BLUeZs2aJQ8//LD88MMPUrJkSa1i5zRt2jQZN26clv92mjFjhjRq1MhzOVu2bKafKhERERERUfCCo2bNmnldfvXVV3U0adOmTVKmTBnJly+f1+0LFy6Uxx57TDJlyuR1PYIh3/sSERERERGF5Jyja9euaTrchQsXNL3O17Zt22THjh26MKwvLPqaK1cuqVq1qkyfPl1HoYiIiIiIiEJm5Ah27dqlwdClS5d0RAijQ6VLl45zvw8++EBKlSolNWrU8LoeC74+8MADkiFDBlmxYoU8/fTTcv78eenbt28wni4REREREVFwFoG9fPmyHDp0SM6cOSOfffaZvP/++7J27VqvAOmff/6R/Pnzy5AhQ+S555677uMNHTpU5yD9/vvv8d4nJiZGN6dHsnaS8LBUBl4RERERERGFsiRbBDZt2rRSvHhxqVy5sowePVoqVKggkyZN8roPgqaLFy/KE088ccPHq1atmhw+fDhO8OOE/WTNmtVri5a9Rl4PERERERGlfK6scxQbGxsnsEFK3UMPPSS5c+e+4b/HvKTs2bNLREREvPcZNGiQjlQ5t0gpaeT5ExERERFRymd8zhGCFJTlLlSokJw7d07mzp0ra9aska+//tpzn/3798u6devkyy+/jPPvly5dKsePH5d77rlH0qVLJ1FRUTJq1Ch5/vnnr7tfBE6+wRNT6oiIiIiIKMmCoxMnTmiqHNYzQmobFoRFYFS/fn3PfVB9DushNWjQIM6/T5MmjUyePFn69eunFeqQnjdhwgTp1q2b6adKycjXR/7r2r4aFqjg2r6IiIiI6BYvyJBc1A9vldRPgYiIiIiIbuWCDERERERERKGGwRERERERERGDIyIiIiIiIpeCozFjxkhYWJg8++yznutq166t1zm3Hj16eP07LCLbtGlTyZAhg+TJk0cGDBggV69eDfbTJSIiIiKiW5TxanVOW7ZskXfffVcr1vlC9bkRI0Z4LiMIsl27dk0Do3z58smGDRu08h0q4KGSHcp6ExERERERhczI0fnz56Vdu3by3nvv6QKuvhAMIfixtyxZsnhuW7Fihfz4448ye/ZsqVixoq6bNHLkSC3xffny5WA9ZSIiIiIiuoUFLTjq1auXjv7Uq1fP7+1z5syRXLlySdmyZXXh2IsXL3pu27hxo5QrV07y5s3rua5hw4Zy9uxZ2bNnT7CeMhERERER3cKCklY3b9482b59u6bV+dO2bVspXLiwFChQQHbu3CkDBw6Uffv2yYIFC/T2Y8eOeQVGYF/GbURERERERMk+OPr999/lmWeekaioKEmXLp3f+3Tv3t3zN0aI8ufPL3Xr1pVff/1VihUrlqj9xsTE6OYUa12T8LBUiXo8IiIiIiK6tRhPq9u2bZucOHFC7rrrLkmdOrVua9eulTfffFP/RrEFX9WqVdP/79+/X/+POUjHjx/3uo99Gbf5M3r0aMmaNavXFi17Tb88IiIiIiJKoYwHRxgB2rVrl+zYscOzValSRYsz4O9UqeKO5OB6wAgSVK9eXR8DQZYNI1Eo2lC6dGm/+8W8pTNnznhtkVLS9MsjIiIiIqIUynhaXebMmbXIglPGjBklZ86cej1S5+bOnStNmjTR6zDnqF+/flKrVi1Pye8GDRpoENShQwcZO3aszjMaPHiwFnmIiIjwu19c73sbU+qIiIiIiChZrHPkT9q0aWXlypUyceJEuXDhghQsWFBatmypwY8No0vLli2Tnj176igSgquOHTt6rYtERERERERkUphlWZakUPXDWyX1UyAiIiIiomQgKnZ+0q1zREREREREFEoYHBERERERETE4IiIiIiIi+heDIyIiIiIiomAER8OGDZOwsDCvrWTJf9cbOnnypPTp00dKlCgh6dOnl0KFCknfvn11TSIn33+Pbd68eaafKhERERERUXBLeZcpU0bLdXt2kvrf3Rw5ckS3119/XdcxOnjwoPTo0UOv++yzz7weY8aMGdKoUSPP5WzZsgXjqRIREREREQUvOEIwlC9fvjjXYxHYzz//3HO5WLFi8uqrr0r79u3l6tWrniDKDob8PQYREREREVHIzDn65ZdfpECBAlK0aFFp166dHDp0KN77IqUuS5YsXoER9OrVS3LlyiVVq1aV6dOnSwpejomIiIiIiFLiyFG1atVk5syZOq/o6NGjMnz4cLnvvvtk9+7dkjlzZq/7/vXXXzJy5Ejp3r271/UjRoyQBx54QDJkyCArVqyQp59+Ws6fP6/zk+ITExOjm1OsdU3Cw1IZfoVERERERJQShVlBHpI5ffq0FC5cWCZMmCBdunTxXH/27FmpX7++5MiRQ5YsWSJp0qSJ9zGGDh2qc5B+//336xaCQCDmFCmlpFhYGUOvhIiIiIiIQlVU7PykL+WNuUN33nmn7N+/33PduXPntNgCRpIWLlx43cDIHo06fPhwnJEhp0GDBmmKnnOLlH+r5BERERERESV5cIR0uF9//VXy58/vGTFq0KCBpE2bVkeM0qVLd8PH2LFjh2TPnl0iIiLivQ9uw9wl58aUOiIiIiIiSrI5R88//7w0a9ZMU+lQovvll1+WVKlSSZs2bTyB0cWLF2X27Nl6GRvkzp1b77d06VI5fvy43HPPPRo4RUVFyahRo/RxiYiIiIiIQiY4QvobAqG///5bA56aNWvKpk2b9O81a9bI5s2b9X7Fixf3+nfR0dFSpEgRTbGbPHmy9OvXTyvU4X6Yr9StWzfTT5WIiIiIiMi9ggxJqX54q6R+CkRERERElAwki4IMREREREREoYDBEREREREREYMjIiIiIiKiIAZHf/zxh7Rv315y5swp6dOnl3LlysnWrVs9t2OaExZ2RXlv3F6vXj355ZdfvB7j5MmT0q5dOy3JjbWSsIAsyoITERERERGFRHB06tQpuffee7Xq3FdffSU//vijjB8/Xtcpso0dO1befPNNmTp1qlavy5gxozRs2FAuXbrkuQ8Coz179mgp72XLlsm6deuke/fupp8uERERERFRcKrVvfjii/Ldd9/J+vXr/d6O3RUoUECee+45z9pFZ86ckbx588rMmTOldevW8tNPP0np0qVly5YtUqVKFb3P8uXLpUmTJloqHP8+IVitjoiIiIiIkqxa3ZIlSzSgadWqleTJk0cqVaok7733ntd6RseOHdNUOlvWrFmlWrVqsnHjRr2M/yOVzg6MAPcPDw/3rJNERERERERkkvHg6LfffpMpU6bIHXfcIV9//bX07NlT+vbtK7NmzdLbERgBRoqccNm+Df9HYOWUOnVqyZEjh+c+REREREREJqU2+mgiEhsbqyM+o0aN0ssYOdq9e7fOL+rYsaMES0xMjG5ez8W6JuFhqYK2TyIiIiIiSjmMjxyhAh3mCzmVKlVKDh06pH/ny5dP/3/8+HGv++CyfRv+f+LECa/br169qhXs7Pv4Gj16tKbnObdo2Wv0tRERERERUcplPDhCpbp9+/Z5Xffzzz9L4cKF9e/IyEgNcFatWuW5/ezZszqXqHr16noZ/z99+rRs27bNc5/Vq1frqBTmJvkzaNAgLezg3CKlpOmXR0REREREKZTxtLp+/fpJjRo1NK3usccek++//16mTZumG4SFhcmzzz4rr7zyis5LQrA0ZMgQrUDXvHlzz0hTo0aNpFu3bpqOd+XKFendu7dWsouvUl1ERIRuTkypIyIiIiKiJCvlDViXCCM5WNgVwU///v010LFhly+//LIGTBghqlmzprzzzjty5513eu6DFDoEREuXLtUqdS1bttS1kTJlypTg58FS3kRERERElNBS3kEJjpILBkdERERERJRk6xwRERERERGFIgZHREREREREDI6IiIiIiIiCGBz98ccf0r59e8mZM6ekT59eypUrJ1u3bvXcjop1/rZx48Z57lOkSJE4t48ZMyYYT5eIiIiIiMh8Ke9Tp07pWkd16tSRr776SnLnzq1V67Jnz+65z9GjR73+De7XpUsXrUjnNGLECK8qd5kzZzb9dImIiIiIiIITHL322mtSsGBBmTFjhuc6lPN2wiKwTosXL9ZgqmjRol7XIxjyvS8REREREVFIpNUtWbJEqlSpIq1atZI8efJIpUqV5L333ov3/sePH5cvvvhCR458IY0OqXl4DKTcXb161fTTJSIiIiIiCs7I0W+//SZTpkzRhV9feukl2bJli/Tt21fSpk0rHTt2jHP/WbNm6QhRixYtvK7Hv7nrrrskR44csmHDBl1UFul4EyZMMP2UiYiIiIiIzC8CiyAII0cIaJyBDoKkjRs3xrl/yZIlpX79+vLWW29d93GnT58uTz31lJw/f14iIiLi3B4TE6Ob0yNZO0l4WKqAXg8REREREYW+JFkENn/+/FK6dGmv60qVKiWHDh2Kc9/169fLvn37pGvXrjd83GrVqmla3YEDB/zePnr0aMmaNavXFi17A3glRERERER0KzEeHKFSHQIep59//lkKFy4c574ffPCBVK5cWSpUqHDDx92xY4eEh4frPCZ/kHZ35swZry1SSgbwSoiIiIiI6FZifM5Rv379pEaNGjJq1Ch57LHH5Pvvv5dp06bp5nT27FmZP3++jB8/Ps5jIP1u8+bNWsEO85FwGY+LtZOcJcGdkGrnm27HlDoiIiIiIkqy4Ojuu++WhQsX6kgO1ilCGe+JEydKu3btvO43b948wXSnNm3axHkMBDm4fdiwYTqPCI+B4AhFHoiIiIiIiEKiIENyUj+8VVI/BSIiIiIiulULMhAREREREYUiBkdEREREREQMjoiIiIiIiP7F4IiIiIiIiCgYwVGRIkUkLCwsztarVy+9vXbt2nFu69Gjh9djYMHYpk2bSoYMGXRdowEDBugCsERERERERCFTynvLli1y7do1z+Xdu3dL/fr1pVWr/68c161bNy3zbUMQZMO/RWCUL18+2bBhgxw9elSeeOIJSZMmja6dREREREREFBLBUe7cub0ujxkzRooVKyb333+/VzCE4MefFStWyI8//igrV66UvHnzSsWKFWXkyJEycOBAXfcobdq0pp8yERERERFRcOccXb58WWbPni1PPvmkps/Z5syZI7ly5ZKyZcvqYrEXL1703LZx40YpV66cBka2hg0bytmzZ2XPnj3BfLpERERERHQLMz5y5LRo0SI5ffq0dOrUyXNd27ZtpXDhwlKgQAHZuXOnjgjt27dPFixYoLcfO3bMKzAC+zJui09MTIxuTrHWNQkPS2X4VRERERERUUoU1ODogw8+kMaNG2sgZOvevbvnb4wQ5c+fX+rWrSu//vqrpt8l1ujRo2X48OFe10VKKSkmZRL9mEREREREdOsIWlrdwYMHdd5Q165dr3u/atWq6f/379+v/8dcpOPHj3vdx74c3zwlQHremTNnvLZIKWnglRARERER0a0gaMHRjBkztAw3Ks9dz44dO/T/GEGC6tWry65du+TEiROe+0RFRUmWLFmkdOnS8T5ORESE3se5MaWOiIiIiIiSNK0uNjZWg6OOHTtK6tT/vwukzs2dO1eaNGkiOXPm1DlH/fr1k1q1akn58uX1Pg0aNNAgqEOHDjJ27FidZzR48GBdJwkBEBERERERUcgER0inw0KuqFLnhDLcuG3ixIly4cIFKViwoLRs2VKDH1uqVKlk2bJl0rNnTx1FypgxowZZznWRiIiIiIiITAuzLMuSFKp++P8vPEtERERERLeuqNj5SbvOERERERERUahgcERERERERMTgiIiIiIiIKEjB0bVr12TIkCESGRkp6dOn14VdR44cKfbUpitXrsjAgQN1AVgUW8ACsU888YQcOXLE63GKFCkiYWFhXtuYMWNMP10iIiIiIqLgVKt77bXXZMqUKTJr1iwpU6aMbN26VTp37ixZs2aVvn37ysWLF2X79u0aQFWoUEFOnTolzzzzjDz00EN6XydUqOvWrZvncubMmU0/XSIiIiIiouAERxs2bJCHH37Ys/grRoA+/vhj+f777/UygiQs6ur09ttvS9WqVbX8d6FChbyCoXz58pl+ikRERERERMFPq6tRo4asWrVKfv75Z7383//+V7799ltp3LhxvP/mzJkzmjaXLVs2r+uRRofFYitVqiTjxo2Tq1evmn66REREREREwRk5evHFF+Xs2bNSsmRJXdAVc5BeffVVadeund/7X7p0SecgtWnTRrJkyeK5Hil4d911l+TIkUNHowYNGiRHjx6VCRMmmH7KRERERERE5oOjTz/9VObMmSNz587VOUc7duyQZ599VgsvdOzY0eu+KM7w2GOPabEGzFNy6t+/v+fv8uXLS9q0aeWpp56S0aNHS0RERJz9xsTE6OYUa12T8LBUpl8iERERERGlQMbT6gYMGKCjR61bt9aKdB06dJB+/fppUOMvMDp48KDOQXKOGvlTrVo1Tas7cOCA39vx+JjP5NyiZa/R10ZERERERCmX8eAI1ejCw70fFul1sbGxcQKjX375RVauXKnzim4EI1B43Dx58vi9HWl3mLvk3CKlpIFXREREREREtwLjaXXNmjXTOUaoOoe0uh9++EHnCT355JOewOjRRx/Vct7Lli3TOUnHjh3T2zC/COlzGzdulM2bN0udOnW0Yh0uY/Spffv2kj17dr/7Raqdb7odU+qIiIiIiCihwix7dVZDzp07p2sYLVy4UE6cOKFzjVBsYejQoRr4IC0OC8T6880330jt2rU1cHr66adl7969Oo8I90d6HuYh+ZtvFJ/64a0MvjIiIiIiIgpVUbHz3Q+OkhMGR0RERERElNDgyPicIyIiIiIiolDE4IiIiIiIiIjBERERERERURCDIxRlwMKvhQsXlvTp00uNGjVky5YtntsxzQkFGvLnz6+316tXT8t6O508eVLatWun6x9ly5ZNunTpIufPnw/G0yUiIiIiIgpOcNS1a1dd2PWjjz6SXbt2SYMGDTQA+uOPP/T2sWPHyptvvilTp07Vkt0ZM2aUhg0byqVLlzyPgcBoz549+jgo+b1u3Trp3r17MJ4uERERERGR+Wp1//zzj65NtHjxYmnatKnn+sqVK0vjxo1l5MiRWt77ueeek+eff15vw4KtefPmlZkzZ0rr1q3lp59+ktKlS+toU5UqVfQ+y5cvlyZNmsjhw4f13ycEq9UREREREVGSVau7evWqLuyaLl06r+uRPvftt99KdHS0LvqKkSRb1qxZpVq1arrYK+D/SKWzAyPA/cPDw3WkiYiIiIiIyDTjwRFGjapXr64jREeOHNFAafbs2RrwHD16VAMjwEiREy7bt+H/efLk8bo9derUkiNHDs99iIiIiIiIkv2cI8w1QrbebbfdJhERETq/qE2bNjryEywxMTFy9uxZry3Wuha0/RERERERUcoSlGilWLFisnbtWq0u9/vvv8v3338vV65ckaJFi0q+fPn0PsePH/f6N7hs34b/nzhxIk66HirY2ffxNXr0aE3Pc27RsjcYL4+IiIiIiFKgoK5zhCp0KNd96tQp+frrr+Xhhx+WyMhIDXBWrVrluR9GeTCXCOl4gP+fPn1atm3b5rnP6tWrJTY2Vucm+TNo0CAt7ODcIqVkMF8eERERERGlIMar1QECITxsiRIlZP/+/TJgwAAt0LB+/XpJkyaNvPbaazJmzBiZNWuWBktDhgyRnTt3yo8//ugp5IDKdhhNQrlvjDp17txZCzTMnTs3wc+D1eqIiIiIiCih1epSSxBg1AYjOSi7jSIKLVu2lFdffVUDI3jhhRfkwoULum4RRohq1qyppbqdFe7mzJkjvXv3lrp16+pcJTwG5i4RERERERGFzMhRcsGRIyIiIiIiSrJ1joiIiIiIiEIRgyMiIiIiIiIGR0RERERERP9icERERERERBSs4OjcuXPy7LPPSuHChSV9+vRSo0YN2bJli+f2sLAwv9u4ceM89ylSpEic21H+m4iIiIiIKBiCUsq7a9eusnv3bvnoo4+kQIECMnv2bKlXr56uY3TbbbfJ0aNHve7/1VdfSZcuXbRct9OIESOkW7dunsuZM2cOxtMlIiIiIiIyHxz9888/8vnnn8vixYulVq1aet2wYcNk6dKlMmXKFHnllVckX758Xv8G961Tp44ULVrU63oEQ773pZTp6yP/dW1fDQtUcG1fRERERHQLB0dXr16Va9eueS3oCkiv+/bbb+Pc//jx4/LFF1/IrFmz4tyGNLqRI0dKoUKFpG3bttKvXz9JnToog12UxBiwEBEREVFSMx5pYLSnevXqGtSUKlVK8ubNKx9//LFs3LhRihcvHuf+CIrwb1q0aOF1fd++feWuu+6SHDlyyIYNG2TQoEGajjdhwgS/+42JidHNKda6JuFhqQy/QiIiIiIiSonCLMuyTD/or7/+Kk8++aSsW7dOUqVKpUHOnXfeKdu2bZOffvrJ674lS5aU+vXry1tvvXXdx5w+fbo89dRTcv78eYmIiIhzO1L3hg8f7nVdpJSSYmFlDL0qIiIiIiIKVVGx85OmWl2xYsVk7dq1Gsj8/vvv8v3338uVK1fizClav3697Nu3Tws43Ei1atU0Ze/AgQN+b8fI0pkzZ7y2SClp7DUREREREVHKFtQJPBkzZtTt1KlT8vXXX8vYsWO9bv/ggw+kcuXKUqHCjeeb7NixQ8LDwyVPnjx+b8doku+IElPqiIiIiIgoSYMjBELI1itRooTs379fBgwYoOlznTt39tzn7NmzMn/+fBk/fnycf4/5SZs3b9YKdpiPhMsoxtC+fXvJnj17MJ4yERERERHd4oISHCGlDWluhw8f1oIKWL/o1VdflTRp0njuM2/ePA2g2rRpE+ffYwQIt2MeEYosREZGanDUv3//YDxdIiIiIiKi4BRkSC7qh7dK6qdARERERES3ckEGIiIiIiKiUMPgiIiIiIiIiMERERERERFRIoMjLOzarFkzKVCggISFhcmiRYu8bscUpqFDh0r+/Pklffr0Uq9ePfnll1+87lOkSBH9t85tzJgxXvfZuXOn3HfffZIuXTopWLBgnDLgRERERERESRocXbhwQdclmjx5st/bEcS8+eabMnXqVC3HjXWOGjZsKJcuXfK634gRI+To0aOerU+fPl5lvhs0aCCFCxeWbdu2ybhx47Ry3bRp0xLzGomIiIiIiMyX8m7cuLFu/mDUaOLEiTJ48GB5+OGH9boPP/xQ8ubNqyNMrVu39twX6xfly5fP7+PMmTNHLl++LNOnT5e0adNKmTJldBHYCRMmSPfu3W/2KRMREREREbk75yg6OlqOHTumqXS2rFmzSrVq1XQhVyek0eXMmVMqVaqkI0NXr1713Ib71qpVSwMjG0af9u3bJ6dOnTL5lImIiIiIiMwvAovACDBS5ITL9m3Qt29fueuuu3SB2A0bNuiCsUitw8iQ/ThY+NX3MezbsmfPbvJpExERERERmQ2OEqp///6ev8uXL68jRE899ZSMHj1aIiIiEvWYMTExujnFWtckPCxVwM+XiIiIiIhSPqNpdfYcouPHj3tdj8vxzS8CpN0hre7AgQOex/H3GM59+EJghRQ+5xYtewN+TUREREREdGswGhwhFQ7By6pVq7wqz6FqXfXq1eP9dyi2EB4eLnny5NHLuC9Khl+5csVzn6ioKClRokS8KXVIzTtz5ozXFiklTb48IiIiIiJKwW46re78+fOyf/9+ryIMCG4wf6hQoULy7LPPyiuvvCJ33HGHBktDhgzRNZGaN2/uKbaAYKlOnTpasQ6X+/XrJ+3bt/cEPm3btpXhw4dLly5dZODAgbJ7926ZNGmSvPHGG/E+L6Tj+abkMaWOiIiIiIgSKsxC/e2bsGbNGg1sfHXs2FFmzpyp5bxffvllXZPo9OnTUrNmTXnnnXfkzjvv1Ptt375dnn76adm7d6/OEUIA1aFDB52H5AxusAhsr169ZMuWLZIrVy5dBwmB0s2oH97qpu5PREREREQpU1TsfPPBUShhcERERERERAkNjozOOSIiIiIiIgpVDI6IiIiIiIgYHBERERERESUyOEKJ7WbNmmkFurCwMFm0aJHX7QsWLJAGDRpIzpw59XZUsnM6efKkFldAWe706dNrhbu+fftq6W0n/Fvfbd68eTf7dImIiIiIiIITHF24cEEqVKggkydPjvd2VKh77bXX/N5+5MgR3V5//XUt0Y0Kd8uXL9ey3b5mzJghR48e9Wx2OXAiIiIiIqIkX+eocePGusUHZbnhwIEDfm8vW7asfP75557LxYoVk1dffVXXObp69aqkTv3/Tylbtmy6qCwREREREdEtMecIKXVZsmTxCowA6xxhjaOqVavK9OnTdQ0lIiIiIiKiZDFyZNpff/0lI0eOlO7du3tdP2LECHnggQckQ4YMsmLFCl049vz58zo/iYiIiIiIKEUFR2fPnpWmTZtK6dKlZdiwYV63DRkyxPN3pUqVdC7TuHHj4g2OYmJidHOKta5JeFiqID17IiIiIiJKSZIsre7cuXPSqFEjyZw5syxcuFDSpElz3ftXq1ZNDh8+HCcAso0ePVqyZs3qtUXL3iA9eyIiIiIiSmnCk2rECOW+06ZNK0uWLJF06dLd8N+gJHj27NklIiLC7+2DBg3SuUvOLVJKBuHZExERERFRSnTTaXWY97N//37P5ejoaA1ccuTIoWsWYR2jQ4cOablu2Ldvn/4fVeew2YHRxYsXZfbs2XoZG+TOnVtSpUolS5culePHj8s999yjgVNUVJSMGjVKnn/++XifF4Im38CJKXVERERERJRQYdZNloBbs2aN1KlTJ871HTt21DWLsHXu3DnO7S+//LLOK4rv39uBVpEiRXTdI4wEIQjD0ytevLj07NlTunXrJuHhCR/sqh/e6mZeGhERERERpVBRsfPNB0ehhMERERERERElNDhKFuscERERERERJTUGR0RERERERAyOiIiIiIiI/sXgiIiIiIiIKDHB0bp166RZs2ZSoEABCQsLk0WLFnluu3LligwcOFDKlSsnGTNm1Ps88cQTnrLeNpT7bteunWTJkkWyZcsmXbp00RLhTjt37pT77rtPS3kXLFhQxo4dG8jrJCIiIiIiMhscXbhwQSpUqCCTJ0+OcxvWLtq+fbsMGTJE/79gwQJd5+ihhx7yuh8Coz179uj6RcuWLdOAq3v37p7b7bWQChcuLNu2bZNx48ZpGfBp06bd7NMlIiIiIiJKkIBKeWPkaOHChdK8efN477NlyxapWrWqHDx4UBeJ/emnn6R06dJ6fZUqVfQ+WNeoSZMmcvjwYR1tmjJlivznP/+RY8eOSdq0afU+L774oo5S7d27N8HPj6W8iYiIiIgo2ZTyPnPmjAZRSJ+DjRs36t92YAT16tXTxV03b97suU+tWrU8gRE0bNhQR6FOnToV7KdMRERERES3oNTBfPBLly7pHKQ2bdro/CLAaFCePHm8n0Tq1JIjRw69zb5PZGSk133y5s3ruS179uxx9hUTE6ObU6x1TcLDUhl/XURERERElPIEbeQIxRkee+wxQdYe0uSCbfTo0ZI1a1avLVoSnoJHRERERES3tvBgBkaYZ4SiC/aoEeTLl09OnDjhdf+rV69qBTvcZt/n+PHjXvexL9v38TVo0CBN4XNukVIyCK+OiIiIiIhSovBgBUa//PKLrFy5UnLmzOl1e/Xq1eX06dNahc62evVqiY2NlWrVqnnugwp2eCwbgqwSJUr4TamDiIgIDcKcG1PqiIiIiIgoaMER1iPasWOHbhAdHa1/Hzp0SIOZRx99VLZu3Spz5syRa9eu6RwhbJcvX9b7lypVSho1aiTdunWT77//Xr777jvp3bu3tG7dWivVQdu2bbUYA9Y/QsnvTz75RCZNmiT9+/e/2adLREREREQUnFLea9askTp16sS5vmPHjroWkW8hBds333wjtWvX1r+RQoeAaOnSpVqlrmXLlvLmm29KpkyZvBaB7dWrl5b8zpUrl/Tp00eLO9wMlvImIiIiIqKElvIOaJ2j5I7BERERERERJZt1joiIiIiIiEIBgyMiIiIiIiIGR0RERERERIkMjlBiu1mzZlpZLiwsTBYtWuS5DdXqUDShXLlykjFjRr3PE088IUeOHPEq6IB/529D8QU4cOCA39s3bdp0s0+XiIiIiIgoOMHRhQsXpEKFCjJ58uQ4t128eFG2b98uQ4YM0f8vWLBA9u3bJw899JDnPjVq1JCjR496bV27dtUqd1WqVPF6PKyT5Lxf5cqVb/bpEhERERERJUhquUmNGzfWzZ+sWbPqYq1Ob7/9tlStWlXXQSpUqJCuX5QvXz6v0abFixdrqW6MDjlhAVnnfYmIiIiIiEJ2ztGZM2c06MmWLZvf25csWSJ///23dO7cOc5tGHHKkyeP1KxZU+9HREREREQUksHRpUuXdA5SmzZtJEuWLH7v88EHH0jDhg3l9ttv91yHxWDHjx8v8+fPly+++EKDo+bNmzNAIiIiIiKi5JNWl1BIl3vssccEa8xOmTLF730OHz4sX3/9tXz66ade1+fKlUv69+/vuXz33XdrUYdx48Z5zV9yiomJ0c0p1rom4WGpjLweIiIiIiJK2cKDGRgdPHhQ5yDFN2o0Y8YMnVcUX8DjVK1aNdm/f3+8t48ePVrnPDm3aNkb0OsgIiIiIqJbR3iwAqNffvlFq80h+PEHI0oIjlDqO02aNDd83B07dkj+/PnjvX3QoEE6v8m5RUrJgF4LERERERHdOm46re78+fNeIzjR0dEauOTIkUODl0cffVTLeC9btkyuXbsmx44d0/vhdlSqs61evVr/Lcp4+5o1a5bet1KlSnoZJcGnT58u77//frzPKyIiQjcnptQREREREVHQgqOtW7dKnTp1PJftuUEdO3aUYcOGeYomVKxY0evfffPNN1K7dm2vQgxY86hkSf+jOyNHjtS0vNSpU+t9PvnkEw28iIiIiIiIgiHMQn5bClU/vFVSPwUiIiIiIkoGomLnJ/06R0RERERERKGAwRERERERERGDIyIiIiIiokQGR+vWrZNmzZpJgQIFJCwsTBYtWuR1O4oyoIBCxowZJXv27FKvXj3ZvHmz132KFCmi/9a5jRkzxus+O3fulPvuu0/SpUsnBQsWlLFjx97sUyUiIiIiIgpecHThwgWpUKGCTJ482e/td955p7z99tuya9cu+fbbbzUQatCggfz5559e9xsxYoQcPXrUs/Xp08dz29mzZ/XfFC5cWLZt2ybjxo3ToGvatGk3+3SJiIiIiIiCU8q7cePGusWnbdu2XpcnTJigZbsxElS3bl3P9ZkzZ5Z8+fL5fYw5c+bI5cuXdW0jrHdUpkwZXUsJj9W9e/ebfcpERERERERJO+cIAQ5Ge7JmzaqjTU5Io8uZM6cu9IqRoatXr3pu27hxo9SqVctr0diGDRvKvn375NSpU8F8ykREREREdIu66ZGjhFi2bJm0bt1aLl68KPnz55eoqCjJlSuX5/a+ffvKXXfdJTly5JANGzbIoEGDNLUOI0Nw7NgxiYyM9HrMvHnzem7DXCYiIiIiIqJkHxzVqVNH0+D++usvee+99+Sxxx7Togx58uTR2/v37++5b/ny5XWE6KmnnpLRo0dLREREovYZExOjm1OsdU3Cw1IF+GqIiIiIiOhWEJS0OlSqK168uNxzzz063yh16tT6//hUq1ZN0+oOHDiglzEX6fjx4173sS/HN08JgRXS95xbtOw1+rqIiIiIiCjlcmWdo9jY2DijOk4YZQoPD/eMLFWvXl1Lhl+5csVzH6TmlShRIt6UOqTmnTlzxmuLlJJBeDVERERERJQS3XRa3fnz52X//v2ey9HR0RrcYP4QCiy8+uqr8tBDD+lcI6TVoeT3H3/8Ia1atfIUW0CKHVLvULEOl/v16yft27f3BD6oeDd8+HDp0qWLDBw4UHbv3i2TJk2SN954I97nhXQ835Q8ptQREREREVHQgqOtW7dqYGOz5w917NhRpk6dKnv37pVZs2ZpYIRg6e6775b169drOW5AADNv3jxdtwijSSi8gODIOQ8JKXErVqyQXr16SeXKlbWYw9ChQ1nGm4iIiIiIgibMsixLUqj64f+OVhERERER0a0tKnZ+8phzRERERERElNwxOCIiIiIiImJwRERERERE9C8GR0RERERERIkJjrD+ULNmzaRAgQISFhYmixYtive+PXr00PtMnDjRcx0WekWJblSpS58+vRQrVkxefvlluXz5std98O98t02bNiXmNRIREREREZkv5X3hwgWpUKGCPPnkk9KiRYt477dw4UINZhBEOaHUNxaFfffdd6V48eK6hlG3bt30cV9//XWv+65cudJTAhxQGpyIiIiIiChZBEeNGzfW7Xqw6GufPn3k66+/lqZNm3rd1qhRI91sRYsWlX379smUKVPiBEcIhvLly3ezT5GIiIiIiCjp5xxhVKhDhw4yYMAAr1Gf6zlz5ozkyJEjzvUPPfSQ5MmTR2rWrClLliwx/VSJiIiIiIgSP3J0I6+99pqkTp1a+vbtm6D779+/X9566y2vUaNMmTLJ+PHj5d5775Xw8HD5/PPPpXnz5jq/CQGTPzExMbo5xVrXJDwsVYCviIiIiIiIbgVGg6Nt27bJpEmTZPv27VpA4UaQfocUu1atWum8I1uuXLmkf//+nst33323HDlyRMaNGxdvcDR69GgZPny413WRUkqKScJGr4iIiIiI6NZmNK1u/fr1cuLECSlUqJCOHmE7ePCgPPfcc1KkSBGv+yLYqVOnjtSoUUOmTZt2w8euVq2ajjLFZ9CgQZqe59wipaSR10VERERERCmf0ZEjzDWqV6+e13UNGzbU6zt37uw1YoTAqHLlyjJjxgxNnbuRHTt2SP78+eO9PSIiQjcnptQREREREVHQgqPz5897jeBER0dr4IKCChgx8i23nSZNGq04V6JECU9gVLt2bSlcuLDOM/rzzz8997Ur082aNUvSpk0rlSpV0ssLFiyQ6dOny/vvv3+zT5eIiIiIiCg4wdHWrVt11Mdmzw3q2LGjzJw584b/PioqSoMrbLfffrvXbZZlef4eOXKkpuQhNa9kyZLyySefyKOPPnqzT5eIiIiIiChBwixnRJLC1A9vldRPgYiIiIiIkoGo2Pnur3NEREREREQUihgcERERERERMTgiIiIiIiJKZHC0bt06adasmRQoUEAXel20aJHX7Z06ddLrnRsWenU6efKktGvXTrJkySLZsmWTLl26aBU8p507d8p9990n6dKlk4IFC8rYsWNv9qkSEREREREFLzi6cOGCVKhQQSZPnhzvfRAMHT161LN9/PHHXrcjMNqzZ49Wrlu2bJkGXN27d/fcfvbsWWnQoIGW+962bZuMGzdOhg0blqDFYomIiIiIiFwp5d24cWPdrgeLsdprFvn66aefZPny5bJlyxapUqWKXvfWW29JkyZNdN0jjEjNmTNHLl++rGsbYb2jMmXK6FpKEyZM8AqiiIiIiIiIkvWcozVr1kiePHl04deePXvK33//7blt48aNmkpnB0ZQr149CQ8Pl82bN3vuU6tWLQ2MbA0bNpR9+/bJqVOngvGUiYiIiIjoFmc8OEJK3YcffiirVq2S1157TdauXasjTdeuXdPbjx07poGTExZ6zZEjh95m3ydv3rxe97Ev2/chIiIiIiJK0rS6G2ndurXn73Llykn58uWlWLFiOppUt25dCZaYmBjdnGKtaxIelipo+yQiIiIiopQj6KW8ixYtKrly5ZL9+/frZcxFOnHihNd9rl69qhXs7HlK+P/x48e97mNfjm8u0+jRoyVr1qxeW7TsDdKrIiIiIiKilCbowdHhw4d1zlH+/Pn1cvXq1eX06dNahc62evVqiY2NlWrVqnnugwp2V65c8dwHle0whyl79ux+9zNo0CA5c+aM1xYpJYP98oiIiIiI6FYNjrAeESrHYYPo6Gj9+9ChQ3rbgAEDZNOmTXLgwAGdd/Twww9L8eLFtaAClCpVSucldevWTb7//nv57rvvpHfv3pqOh0p10LZtWy3GgPWPUPL7k08+kUmTJkn//v2vWyEP6yY5N6bUERERERFRQoVZlmXdbCW6OnXqxLm+Y8eOMmXKFGnevLn88MMPOjqEYAfrFY0cOdKrwAJS6BAQLV26VKvUtWzZUt58803JlCmT1yKwvXr10pLfSMvr06ePDBw48GaeqtQPb3VT9yciIiIiopQpKna++eAolDA4IiIiIiKihAZHQZ9zREREREREFAoYHBERERERETE4IiIiIiIiSmRwhBLbzZo102ILYWFhsmjRIq/bO3XqpNc7N1SncxZ08L3d3lB8AVDpzt/tqIJHREREREQUDKlv9h9cuHBBKlSoIE8++aS0aNHC730QDM2YMcOrzLatRo0acvToUa/7DxkyRMt+V6lSxev6lStXSpkyZTyXc+bMebNPl4iIiIiIKDjBUePGjXW7HgRD+fLl83sb1i9y3oaFXhcvXqylujE65IRgKL7HISIiIiIiSvZzjpA6lydPHilRooT07NlT/v7773jvu2TJEr29c+fOcW576KGH9HFq1qyp9yMiIiIiIko2I0c3gpQ6pNtFRkbKr7/+Ki+99JKONG3cuFFSpUoV5/4ffPCBNGzYUG6//XbPdVgMdvz48XLvvffqIrGff/65Li6L+U0ImIiIiIiIiEwLaBFYpMEtXLhQA5f4/Pbbb1KsWDGdP1S3bl2v2w4fPiyFCxeWTz/9VFq2bHndfT3xxBMSHR0t69ev93t7TEyMbk6PZO0k4WFxAzIiIiIiIrq1RCWHRWCLFi0quXLlkv3798e5DUUbMK8oIaNB1apV8/sYttGjR0vWrFm9tmjZG/DzJyIiIiKiW0PQgyOMDmFOUf78+b2ux4AVgiOMCKVJk+aGj7Njx444j+E0aNAgOXPmjNcWKSWNvAYiIiIiIkr5bnrO0fnz571GcJDqhsAlR44cug0fPlxT5FBlDnOOXnjhBSlevLjOK3JavXq1/tuuXbvG2cesWbO0ql2lSpX08oIFC2T69Ony/vvvX7dCnrNkODCljoiIiIiIghYcbd26VerUqeO53L9/f/1/x44dZcqUKbJz504Nbk6fPq0LxTZo0EBGjhwZJ3BBIQaseVSypP/RHfybgwcPSurUqfU+n3zyiTz66KM3+3SJiIiIiIiCX5Ahuasf3iqpnwIRERERESUDyaIgAxERERERUShgcERERERERMTgiIiIiIiI6F8MjoiIiIiIiBITHK1bt06aNWumlejCwsJk0aJFce7z008/6cKuWIg1Y8aMcvfdd8uhQ4c8t9euXVv/rXPr0aOH12Pg/k2bNpUMGTJInjx5ZMCAAXL16tXEvk4iIiIiIiKzpbwvXLggFSpUkCeffFJatGgR53asbVSzZk3p0qWLrnmUJUsW2bNnj6RLl87rft26dZMRI0Z4LiMIsl27dk0DI6yVtGHDBjl69KhnsdhRo0bd7FMmIiIiIiIKbilvjPgsXLhQmjdv7rmudevWGsR89NFH8f47jBxVrFhRJk6c6Pf2r776Sh588EE5cuSI5M2bV6+bOnWqDBw4UP78809dIDYhWMqbiIiIiIiSpJR3bGysfPHFF3LnnXdKw4YNNR2uWrVqflPv5syZI7ly5ZKyZcvKoEGD5OLFi57bNm7cKOXKlfMERoDHO3v2rI5CERERERERJXla3fWcOHFCzp8/L2PGjJFXXnlFXnvtNVm+fLmm333zzTdy//336/3atm0rhQsX1nlLO3fu1BGhffv2yYIFC/T2Y8eOeQVGYF/Gbf7ExMTo5hRrXZPwsFQmXyIREREREaVQqU2PHMHDDz8s/fr107+RPod5Q0iLs4Oj7t27e/4NRojy588vdevW1flKxYoVS9S+R48erXOcnCKllBSTMgG8IiIiIiIiulUYTatDmlzq1KmldOnSXteXKlXKq1qdL6Tewf79+/X/KMRw/Phxr/vYl3GbP0jNO3PmjNcWKSUDfk1ERERERHRrMBocoVACynYjRc7p559/1jS6+OzYsUP/jxEkqF69uuzatUvT9GxRUVFa+c438LJFRETo7c6NKXVERERERBS0tDrMKbJHeCA6OlqDmxw5ckihQoV0PaLHH39catWqJXXq1NE5R0uXLpU1a9bo/ZE6N3fuXGnSpInkzJlT5xwhBQ/3L1++vN6nQYMGGgR16NBBxo4dq/OMBg8eLL169dIgiIiIiIiIKMlLeSPIQdDjq2PHjjJz5kz9e/r06ToH6PDhw1KiRAmdC4R5SPD7779L+/btZffu3bpmUsGCBeWRRx7R4AejPbaDBw9Kz549dX9YSBaPj0IPSNtLKJbyJiIiIiKihJbyDmido+SOwRERERERESXJOkdEREREREShisERERERERERgyMiIiIiIqJEBkfr1q2TZs2aSYECBSQsLEwWLVrkdTuu87eNGzdObz9w4IB06dJFIiMjJX369Lro68svvyyXL1/2PAbu4+8xNm3adLNPl4iIiIiIKDilvFFhrkKFCvLkk09KixYt4tx+9OhRr8tfffWVBkMtW7bUy3v37pXY2Fh59913pXjx4lq1rlu3bvq4r7/+ute/XblypZQpU8ZzGaW/iYiIiIiIkkVw1LhxY93iky9fPq/Lixcv1tLfRYsW1cuNGjXSzYbrsWjslClT4gRHCIZ8H4+IiIiIiCjk5hwdP35cvvjiCx05up4zZ87oIrK+HnroIcmTJ4/UrFlTlixZEsRnSkREREREt7qgBkezZs2SzJkz+02/s+3fv1/eeusteeqppzzXZcqUScaPHy/z58/X4ArBUfPmzRkgERERERFR8kmruxnTp0+Xdu3aSbp06fze/scff2iKXatWrXTekS1XrlzSv39/z+W7775bjhw5okUdMJrkT0xMjG5OsdY1CQ9LZez1EBERERFRyhW0kaP169frXKKuXbv6vR3BDuYi1ahRQ6ZNm3bDx6tWrZqOMsVn9OjRkjVrVq8tWvYG9BqIiIiIiOjWEbTg6IMPPpDKlStrZTt/I0a1a9fW22fMmCHh4Td+Gjt27JD8+fPHe/ugQYN07pJzi5SSAb8OIiIiIiK6Ndx0Wt358+e9RnCio6M1cEFBhUKFCul1Z8+e1flCmDcUX2BUuHBhrU73559/em6zK9NhrlLatGmlUqVKennBggWaovf+++/H+7wiIiJ0c2JKHRERERERBS042rp1q6bD2ey5QR07dpSZM2fq3/PmzRPLsqRNmzZx/n1UVJQGV9huv/12r9vwb2wjR46UgwcPSurUqaVkyZLyySefyKOPPnqzT5eIiIiIiChBwixnRJLC1A9vldRPgYiIiIiIkoGo2PlJW8qbiIiIiIgoVDA4IiIiIiIiYnBERERERESUyOBo3bp10qxZMylQoICEhYXJokWL4lSz6927txZbSJ8+vZQuXVqmTp3qdZ9Lly5Jr169JGfOnJIpUyZp2bKlHD9+3Os+hw4dkqZNm0qGDBkkT548MmDAALl69erNPl0iIiIiIqLgBEcXLlzQtYsmT57s93ZUr1u+fLnMnj1bfvrpJ3n22Wc1WFqyZInnPv369ZOlS5dque+1a9fqgrAtWrTw3H7t2jUNjC5fviwbNmzQ0t6ohDd06NCbfbpERERERETBr1aHkaOFCxdK8+bNPdeVLVtWHn/8cRkyZIjnOiz22rhxY3nllVd0cdbcuXPL3LlzPaW59+7dK6VKlZKNGzfKPffcI1999ZU8+OCDGjTlzZtX74PRp4EDB+q6SFgDKSFYrY6IiIiIiJKsWl2NGjV0lAiLvSLu+uabb+Tnn3+WBg0a6O3btm2TK1euSL169Tz/BusYYQFZBEeA/5crV84TGEHDhg11cdk9e/aYfspEREREREQ3vwjsjbz11lvSvXt3nXOEBVzDw8Plvffek1q1auntx44d05GfbNmyef07BEK4zb6PMzCyb7dvIyIiIiIiCongaNOmTTp6VLhwYS3ggOILKODgHC0yLSYmRjenWOuahIelCto+iYiIiIgo5TCaVvfPP//ISy+9JBMmTNCKduXLl9diDJiD9Prrr+t98uXLp4UWTp8+7fVvUa0Ot9n38a1eZ1+27+Nr9OjRkjVrVq8tWvaafHlERERERJSCGQ2OMJcIG1LpnFKlSiWxsbGe4gxp0qSRVatWeW7ft2+flu6uXr26Xsb/d+3aJSdOnPDcJyoqSrJkyaKlwf0ZNGiQFntwbpFS0uTLIyIiIiKiFOym0+qwjtH+/fs9l6Ojo2XHjh2SI0cOLapw//3365pEWOMIaXUo1f3hhx/qaBJgRKdLly5a8hv/BgFPnz59NCBCpTpA8QYEQR06dJCxY8fqPKPBgwdrel5ERITf54XrfW9jSh0REREREQWtlPeaNWukTp06ca7v2LGjrkWEQAajOCtWrJCTJ09qgIQCDVjbCKW/7UVgn3vuOfn44491nhAq0b3zzjteKXMHDx6Unj176v4yZsyojz9mzBgt8pBQLOVNREREREQJLeUd0DpHyR2DIyIiIiIiSrJ1joiIiIiIiEIRgyMiIiIiIiIGR0RERERERP9icERERERERJSY4GjdunW6wGuBAgW0+tyiRYvilPrGwq+33367lvNGSe6pU6d6bj9w4ID+O3/b/Pn/P0nK3+3z5s0L9PUSERERERGZWefowoULUqFCBXnyySelRYsWcW7H+kWrV6+W2bNnS5EiRbSk99NPP63B1EMPPSQFCxaUo0ePev2badOmybhx46Rx48Ze18+YMUMaNWrkuZwtW7abfbpERERERETBCY4QwPgGMU4bNmzQNYlq166tl7HG0bvvvivff/+9BkepUqXyWs8IFi5cKI899phkypTJ63oEQ773JSIiIiIiCok5RzVq1JAlS5bIH3/8IVhC6ZtvvpGff/5ZGjRo4Pf+27Ztkx07dkiXLl3i3NarVy/JlSuXVK1aVaZPn66PR0RERERElCxGjm7krbfe0tEizDlKnTq1hIeHy3vvvSe1atXye/8PPvhASpUqpUGV04gRI+SBBx6QDBkyeFLzMJ+pb9++fh8nJiZGN6dY65qEh6Uy+OqIiIiIiCilCkpwtGnTJh09Kly4sBZwwAgQ5hzVq1fP677//POPzJ07V4YMGRLncZzXVapUSec6YV5SfMHR6NGjZfjw4V7XRUopKSZljL02IiIiIiJKucKsAHLVUEEO84WaN2/uCXayZs2q1zVt2tRzv65du8rhw4dl+fLlXv/+o48+0nQ6pODlzp37uvv64osv5MEHH5RLly5JREREgkaOHsnaiSNHREREREQkUbH/XxnblZGjK1eu6IZUOicUYYiNjfWbUociDTcKjADzkrJnz+43MAJc73sbAyMiIiIiIkqomw6OMO9n//79nsvR0dEauOTIkUMKFSok999/vwwYMEDXOEJa3dq1a+XDDz+UCRMmeD0OHgMpd19++WWcfSxdulSOHz8u99xzj6RLl06ioqJk1KhR8vzzz9/s0yUiIiIiIgpOWt2aNWukTp06ca5H+e6ZM2fKsWPHZNCgQVpE4eTJkxogoUBDv379NA3P9tJLL+laSFgU1nekCel3eAwEUHh6xYsXl549e0q3bt3i3Pd66oe3upmXRkREREREt3BaXUBzjpI7BkdERERERJTQ4Mj4OkdEREREREShiMERERERERERgyMiIiIiIqJEBkeoMNesWTNd1BUFFhYtWuR1O6rMderUSW/PkCGDNGrUSH755Rev+9SuXVv/rXPr0aOH130OHTqkayXhMfLkyaMV8K5evXqzT5eIiIiIiCg4wdGFCxekQoUKMnny5Di3obYDFoT97bffZPHixfLDDz9otbp69erpv3NC5bmjR496trFjx3puu3btmgZGly9flg0bNsisWbO0Et7QoUNv9ukSEREREREFZ52jxo0b6+YPRog2bdoku3fvljJlyuh1U6ZMkXz58snHH38sXbt29dwXI0K43h+UAf/xxx9l5cqVkjdvXqlYsaKMHDlSBg4cKMOGDZO0adPe7NMmIiIiIiJyb85RTEyM/h8Lt3p2EB4uERER8u2333rdd86cOZIrVy4pW7asrml08eJFz20bN26UcuXKaWBka9iwoZw9e1b27Nlj8ikTERERERElbuToekqWLCmFChXSYOfdd9+VjBkzyhtvvCGHDx/W1Dlb27ZtNd0O85J27typI0L79u2TBQsW6O1YSNYZGIF9GbcREREREREl6+AoTZo0GuB06dJFcuTIIalSpdL5RkjDc6412717d8/fGCHKnz+/1K1bV3799VcpVqxYoket7JErW6x1TcLDUgXwioiIiIiI6FZhvJR35cqVZceOHXL69GkdLVq+fLn8/fffUrRo0Xj/TbVq1fT/+/fv1/9jLhKq3jnZl+ObpzR69GjJmjWr1xYtew2+MiIiIiIiSsmCts4RgpPcuXNrkYatW7fKww8/HO99EUwBRpCgevXqsmvXLjlx4oTnPlFRUZIlSxYpXbq038dAKt+ZM2e8tkgpafx1ERERERFRynTTaXXnz5/3jPBAdHS0BjdIo8N8o/nz52tQhL8R4DzzzDNa3rtBgwZ6f6TOzZ07V5o0aSI5c+bUOUf9+vWTWrVqSfny5fU+uC+CoA4dOmiJb8wzGjx4sPTq1UuLO/iD631vY0odEREREREFLTjCKFCdOnU8l/v376//79ixo65FhFQ6XIc0OIwEPfHEEzJkyBDP/VGGGyW6J06cqGsfFSxYUFq2bKnBjw1zlZYtWyY9e/bUUSQUdsDjjxgx4mafLhERERERUYKEWc5KCSlM/fBWSf0UiIiIiIgoGYiKnZ90c46IiIiIiIhCCYMjIiIiIiIiBkdERERERET/YnBERERERETE4IiIiIiIiOhfDI6IiIiIiIgYHBEREREREf0P1jmif126dMl6+eWX9f/cV/LeV0p8TW7uKyW+ppS6r5T4mtzcV0p8TSl1XynxNaXUfaXE1+TmvlLia0pJ+0rRi8DerLNnz0rWrFnlzJkzkiVLFu4rGe8rJb4mN/eVEl9TSt1XSnxNbu4rJb6mlLqvlPiaUuq+UuJrcnNfKfE1paR9Ma2OiIiIiIiIwREREREREdG/GBwRERERERExOPIWEREhL7/8sv6f+0re+0qJr8nNfaXE15RS95USX5Ob+0qJryml7islvqaUuq+U+Jrc3FdKfE0paV8syEBERERERMSRIyIiIiIion8xOCIiIiIiImJwRERERERE9C8GR0RERERERAyOiJJW0aJF5e+//45z/enTp/U2IiIiouTs8uXLsm/fPrl69aqkBAyOKGTgS7dy5Up599135dy5c3rdkSNH5Pz58xKqDhw4INeuXYtzfUxMjPzxxx9J8pxCzT///CMXL170XD548KBMnDhRVqxYYXxf27dvl127dnkuL168WJo3by4vvfSS/jiY8uSTT3qOcacLFy7obaEqmJ/V2bNnE7ylBHgdixYtkp9++ilkj3O39+XmuYIoKT3wwAPayervvIHbTLl48aJ06dJFMmTIIGXKlJFDhw7p9X369JExY8ZIyEIpb3LH5cuXraJFi1o//vijlZJcvHjRunDhgufygQMHrDfeeMP6+uuvje0Dj1myZEkrQ4YMVqpUqaxff/1Vr+/bt6/11FNPWabVqVPHOnXqVJzrz5w5o7cFavHixbqFhYVZH374oecytgULFli9evWy7rzzTiuY/vnnn6A+/tq1a60rV67EuR7X4TZT6tevb02ZMkX/xmeWN29e6/bbb7fSpUtnvfPOO5ZJVapUsT777DP9G8cg9tGmTRurePHi1jPPPGNsP+Hh4dbx48fjXP/nn3/q8W/SsWPHrPbt21v58+fXx8a+nZtJwfys8F3yfe7xbaYdOnTI+v333z2XN2/erMfDu+++a2wfrVq1st566y3POfeOO+6w0qRJY6VOndpzTIbace72vtw8V1zv+zZ8+HBjj4fj7ty5c37bGybPs3/99Ze1evVq6++///aci8aMGaOvxY02TWRkpPXzzz8HdR+xsbH6GqdNm2YtXbpU30OTnL/zzm3JkiXWihUrrN9++83YvnA+9PcbgutwzjClb9++VuXKla3169dbGTNm9LTNFi1aZFWsWNEKhv3791v/+c9/rNatW3te45dffmnt3r3b2D4YHFmWVbhwYf2CHzx4MOj7KlCgQNBOJI888kiCt1D7wXn44Ye1ARcTE2NlypTJ8wX85ptv9EfUtGCfWPD4dmPO/tve0qZNq4ERTs6mXbt2zRoxYoQeh84gc/Dgwdb7779vdF/xNfDxI2uygZozZ07PSfG9996zypcvr6/z008/1YDapCxZsuiJGdAwaNCggf797bff6jEfKATfp0+f1uMA+8Flezt58qQ1a9YsDWJMatSokVW6dGn9ri5cuFB/1JybScH8rNasWePZZs6caeXLl8968cUXPQ0Q/I33DreZVrNmTe3kgKNHj+pxUr16dStXrlzGGsI4r+7YsUP/njNnjp730CmFz810IyTYx3lS7cvNc0V88BmaOP8dOXLEuvvuu/WxcC7v0KGDV5CEIMzUeRbBftasWfW8lD17dmvr1q0arCBAL1asmJU+fXpr27ZtRvY1adIkvxte46BBgzyXTWjcuLGebwFBX7Vq1fQ15s6dW987HBMnTpywTInvN9++Dv+vVauWnusT67///a9ueDy0j+zL2LZv326NGjVK27ymFCpUyNq4caP+7Wyb/fLLL1bmzJkt03B+x/FWr149bSvZ+xs9erTVsmVLY/thcGRZOspRoUIF/fLhDf/444+tS5cuBWVfr776qtWxY0e/PeqB6tSpU4K3UPvByZEjh7V37944X8Do6Gj9opji9omlSJEi2gPnFjTUMHo5e/Zsfd/s93HevHnWPffcY3RfeA/9/bDs27fP6EkTr8Pu2EDv+rBhwzy9+SaPDcDztnsvca6YOHGi/o39ozMgUDca/cA56pVXXrFMwvfphx9+sNzg1mf1wAMPWHPnzo1zPYKK+++/3zItW7ZsnvMTGm41atTQvzF6jkakCTi+8D4BGsIDBw7Uv/F+osc2lI7zpNqXG8ef8zfD3/bJJ58YCVqeeOIJbcxv2bLFioqK0t57jMLZDWsERzifmIDPpWvXrtbZs2etcePGadCKy7bOnTtbzZs3N7IvPGc8Pn4bnRuuv+222/RvU98pZydoz549tZPIHr3BiBze0x49elimrFy5Uj8z/B/vJTb8jY6UL774QjsEypQpYz355JMBvSb798I3CMOG7JsPPvjA2GtK72hHONtm6ARAx4dpaKeMHz8+zv4QwOP4MIXBkQN6Pvr06aO9fegdQWqTqd4QG04g+DFADyZ6yII5ouMWN35w0PjYs2dPnC8EhnLz5MljmeL2icVt6OXDydj3ffzpp5/0PTbBPpbxHjZp0sTr+H7ooYf0x61hw4aWKeXKldMGKY43nIw3bNig16N3E73tJiGlEo0SjBIgpQm9Y3ZvlomgGY+DoBzHGtIrnaMheF1//PGHZVqpUqU08HeDW58Vzjv+UnAQmJsOmAHBCTpqoFmzZjoCYrqBj156NKzPnz+vPdurVq3yNELQQRVKx3lS7cuN4y++0QHfEYJAYfQfDUIbOnRx7GEUEaMgJkeO0B6yM16QaobHde4b7SRTDVOkyeM1+GbYIGPDbgOY4gyOSpQooSPMTvitNBWIAQKf7777Ls71CIoQmAEC3YIFCwY0BQHnIrw2BM64bG8Ybbx69apl0n333We9+eabnjaFHVz27t3b6O+881xr78O3ozwiIsLYflIn9Zyn5OSuu+7Sbfz48fLOO+/IwIEDZcqUKVKuXDnp27evdO7cWcLCwgLaR7Zs2aRly5biVgGDNWvWyK+//ipt27aVzJkzawGDLFmySKZMmYztp3jx4jox+JFHHpGvv/5a+vXrp9efOHFC92VCgwYNdOLstGnT9DI+BxRiePnll6VJkyZiSnR0NDoMtFLc999/L7lz5/bcljZtWsmTJ4+kSpVKTFq1apVueL9iY2O9bps+fbrRfaHIAz4vX9jvlStXjOwja9as+n+8jzjm0qdP7/Ue3nPPPdKtWzcxZejQoXp847jDRNPq1avr9ZhkXalSJTHpjTfekPbt2+vx/p///MfzXn722WdSo0aNgB///vvv9xyHBQsWlPDw4NfMwffqxRdf1EInRYoUCeq+nJ9V3bp1g/ZZ4b177733ZOzYsV7Xv//++3qbaZiIPHXqVGnatKlERUXJyJEj9Xqcb3PmzGlkH88++6y0a9dOz92FCxeW2rVr6/Xr1q3T3yjTxwT2FazjPKn25cbxlyNHDj3u8Pj+7NmzR5o1axbwfs6cOSPZs2f3XI6IiJAFCxZIq1atpE6dOjJ79mwxBYUx7PN4mjRpdPJ9rly5PLfjb39VVxMD36OFCxdKw4YN5YUXXpDevXtLMNltulOnTkmxYsW8bsOxiO+wKWiL+WsT4brffvtN/77jjjvkr7/+SvQ+cG4A37ZEsIwaNUoaN24sP/74o7Y5J02apH9v2LBB1q5da3x/aEMfPXpUIiMjva7/4Ycf5LbbbjO3I2NhVgqAHhH0zCEHH+kr9957rzV9+nSdo4FeJUwSDRVuFjCYP3++9vihNwnzj2xIQcN7aQKGuNGzgl5u9CBhaBW9pejt8TevJVRglA3vW9WqVXVeFUYWnZtpd911l/XRRx/F6XVBuh3mTZh+bejldgPmeWD0A+mcNvRsYkTMDShuEYxUWcwpwWvwTc0JFEYJ0Rtsb8jdxnGIY8J5PTa3Pis7Lc0EpKhgxKZs2bJWly5ddMOoAa7DbaZhtA/vKd5DpBjZMEfCZEYARjgwouicW7Js2TLteTYFPcuYyO9v3gOOc5OT1N3cl1vHHzJCRo4cGe/tGOkzke6G49lfIQ6ch/DbgbkgpkaO0JawRyrtYw5FQWybNm0yPj/s8OHDmh6LNgQ+s2CNHNnZDTjX+c7zxesyOaKNNiVejzPdHH/jOozA2CNHJooxYW4lPifbgAEDdN4YUvjQPjRp//79mmaJOXBoo7Vr187auXOnFQzPPfectlVwTCALCyPNOP9huoCdtWSCfkPlFodSojNmzJCPP/5Ye2qfeOIJ6dq1q5QsWdJzn927d8vdd9+tpUBDAUqhotf+gw8+0J7L//73vzoagpEk9Nr/8ssvRvd37NgxjeYrVKjg6e3GyAt6RJzvYyDQKzFv3jzZuXOnjhphlA89js6RCZPwHn3zzTd+R3TQA2lC/vz5tZexQ4cO4gaUye3YsaMMGjRIRowYIcOHD9e1CT788ENZtmyZ1K9fX0LV/v37tWeuVq1aekzg1BboSK8vfIe2bNkSZzQAJVNxPNq9f4H6888/daT6q6++8nu7v/LvN2PWrFkJvi+OF1NQhhw9izg3+ZYoR+lXkyOlv//+u4787927Vy+XKlVKevToEZSRI/szQZlcZ28+SvWjlx0jzoHAqC7Oo/iO4nUEW7p06bREuG/vbKjvy43jD6MeeDyMMPuDEYolS5YE/L1CZsuOHTs0W8PfbyUyVHC8BHquAPxOlChRQlq3bu33doz44Xv2+eefi0k4h6Mc9JtvvqnnRPz2ly5d2tjj4xzrhBGQxx57zHMZI1fY5/Lly43sD7+1Dz/8sCczwD5P4XcFv8133nmnjqBiGYdA2wT4vHD+QzbFxo0bdSQTo7Q4JlKnTq2jjKHo8uXL0qtXL5k5c6Ye23gt+D9GhHGdqcweBkci+maiUYha7QgqMGzsCyc7DO8iiAoU0gU+/fRTrQfvu44DAjUT0HjDsCa+IPghsIMj/Fjj5OJc64HiQkpOz549NV0gX758Xo1s/G3yc0IQ6TucH0zr16/XwAjHhB1kIthD6mKg8FhIEUQDEWkq1wtOTL2HSOfADxoCWewPQS2OdTSE8DyQJmsKAn90BPg2do8fP64/dqbWZUHQb6/BgvQpNLiwj1deeUVfD9K3QvVci04U3/cPaST4noXyAoLBTmNGygjWeXMjOKpSpYq89tpr8aaGheq+UtLxh+eK3/H4UtdxO9Ko7TSrYMLzwHuL1L5g2LZtm3z77bface3sfAg2tPvwuhDAm4KOVqRx/vzzz3oZbTS0P02nUKNTBgFroUKFNJDGcY9OUKR14jcFwaYJh/63rlF8sP9gQFCJ9dHQhkFbA+mIJnHOkYj29t7oBJIxY0YjgRF6QNDL0qlTJ+0pQM8FfkzRG41o2OQX0F+P0eHDh+P0mgUK+c3XawSvXr3ayH7Q0MAJ0t9IDuaEmYRG6KuvvqonlWDCCOXcuXNlyJAh4pb77rtP50UEA3rF7B9IdDS4AfMH0KGBk7Sz4fj4449L//79jQRH6Om1oafWnlcF+J4hIDTZ843vDM4PaDjiRxPnJ/yAoiE0evRoo8ERglS8f/a8FewX5zp0ogwbNkzniQUKIyr/KwCkvaLOxgbevy+//DLg0RX08CZU+fLlxSQEso0aNdJjEAs447PCeRaNflzGPIpA4fcBj4d5U+gtDSac/55//nmdO1W5cmX9/XMyNZfUrX25cfwlFl4fRoDQoXMzcAxc773B7c52TWL3k9CGuJPpfeG4wOZPMF+Xv2Mx0H3hfI5zBbZgQocMOg4RnCAYw28h4Ng3mQFVpEiR67b/TIxc+oPOSGx4fARJGJE1GTgzOPrfBDakxWBEB4HKgAEDdFIlGg158+Y1OskLhR5QVKBNmzY6BIhhW3zR0HN/8uRJY/txq4ABVKxYMU4KCE4gSEU0lZKD9+qpp57ShhpGW3xHckwHR/iiYWJrsF26dEk/I/QIo8HmO2o5YcKEkEoLw/Hl7+9gwokfAcvtt9/udT16ktBoNcEO9HCs+R7T+MzwA2FyhAo9lnZjDSd89PIh5QIBjKkRNxu+VyjIgMfG54+gskWLFjJ//nztEcZ5xMQkWrx32PA6fOF6pO4Eeh7C49woGQL3Mf2D/cwzz2ggi9FY53cLRWpMFR/B9xZBOI53fFa+DTeTaTL2b8RDDz3kda61U1VNvn9u7MuN4y+x3ErecTNJiPu6/rkdhQr8ZQ6ZbMeggwadrxhVwSiV/T3DyJHJwjs//PBDnPYfrkPbBR3MpqEwDc5/yPTCuQFFjJAlhQAdKYN2oZpAMTj6X48jhvRxAkXaGX7MEBzhxwYHMIYiTcHj2RV4MC8CvViA/FJU8Xr77beN7AcNNVR7Qe8vGuBI80C6EdLEMLfKdAUvf9DrjIDMBIysIIDEXBk3KnghMEIjBHMUgn3s2cElgkkn0/NlAMe3v8YGereRgmF62BuvwQ5akD6IUTIck927dze2H/zY+PZcAjobTKV52COVGB1CI9VZqSkYkGqB/HT8iGEen11JDiMQmKdmEn447WMQARF+bPA5fffddzrHwERwhJRHNCyQ/455CTi/2tDhgQ6qAgUKBLQP5PEnFaSq4gfad5QNn5mp75WblU7xebnFjX25cfwR3QiCBgQp6HTC7xaOQ6R02vMSTQZHkydPlsGDB+vvMI55u9MGKYronDelQoUKca5DRxG+T+PGjdOONpMwiGHP51u6dKl26CF98KOPPtKsLPxumcDg6H9pOUhvw8R4Z8oZDmIEFSYhrxmNNpyMMdy5adMmPbjsEtKmoEGKXkxnAQNE2sEsYOALB3DVqlXl9ddfD/ixcDJBQ82NwMgu4YmADJ8Peil8R3RMncTcaoQkJC3MdBlnfHcQBCHwxzydevXqSdmyZWXOnDl62VRRC6QJogPDLp+MgAzBDL7PSPk0ya0GOEYikCNuj8AhBQPvGxpyGEU1CecdO/jDCOaDDz6ofyNlIZCSsvGVKMd5LxiBvxtzK5IyjdlEWvfNfl4pZV9uHH9ECWlroow7OrnwG4z2BdoWaCvhnG8SOlP8dba7NUJaokQJ7Ug0zZ4fCEiHxXxjjAbbxVZMYXAkIlu3bvWknzkhnQ6NOJPQc4WGKoY6EZDhy4JIGM/BZISN0SLklsZXMccNqJBiaiIjAjv0aiP9xw04HpCzi+Fv31r9wUjjCza308LskTAEx4ACJAgy0atjj8iZCo7sNUXwHUKaAlJVkTqATggTvUiYJ4ggD8cy/r4eU8eF83uLXHukB9qTa02PWqGXD/M+ELziWEeFI7shibRi0wEMRlkwEoYeP3yncZ5Frx9G5WrWrGlsX0iRxqgXKqEBRizRAAlG8RO30pjdWrsO3Pqcgr0vdA6iUwYda1gbCPMT3JqLRuSE6QY4znEsotADMjaQ6o7fMPwumx5lQbo8Khbb50Csx4Ygwtk5amI+n29nGzr2kDlkukgC4DcJ6yghgwJVBO3fK7soiCkMjv63eJrvB2ynmzgXATUBP552Ly0m2NpV5ZBvjdx/UzBEi3x3NLLQcAzmiIvvF9r+cqCxaqrQACaho0cbXwZ/Izmm5+a4NULgVjELt9PC7NxjO60NIxI4xgElie1RERPQ8MF3Fb1kaCyiUYpjEt8vEyloSBvFiCuCo/hSSIMVNCPYw7GIBj3mhAWDm4twIr0DI4nYH+ZOoXEAaLRiMUH0BJqA0VEcb0gXvPfee/U6BMpoHCAVw3TJejfSmN0o+uD25+TGvnAM2BUmrzcvLRhz0RLCrVEsN0fLuC//0G6x22I4Hu0iQghWkP5mEtpfOCchU8jupLTnAaGD0tTvSbb/zedzwvcLmQfIXDINgwoYLcJvO/aLTj3YvHmzsWVjgKW8/1cxDFU90LuNHFD0NCECRW871kwxkXPvNpT+xbyBL774Qr94mGSNQAm9xKah8p7zy4EvP4JKjJKZKA8N6NnGSAOGatFz4FuQwVQQ4TaMHF6vmIXJYWK3VatWTYM/VFbDcWCnkOL/jz76qKYckX/oBcO6K/Z6RAj+0MOI69Cr7sYIKhr5OA/6W9ogsTBijmMeJXmdSwwgFx9rjJgaqcd+0DDAGilOeN/QMDBd1MIe1fnkk0+8SuSbTGN2c+06tz4nN/aFoNJOpbtRgZakSM10vuaUsB/uK374HUR7CZ0n+M6irYkONYySoggUGvimIN0cHV1YlsSubolzFNq7GKFdt26dkf2s9cmssdt/2Hewqmqi4w7BJOaG23Oa8VuJQA0Vc01gcPS/Hio01hBpo0ACJpLhhIwCCViE0bcqkKkUAqRG4EMOZroCXg/2gd5LBBD4UiNIMpXS5BZU7EKvPU4sbsDQ8/WYXKzyesUsTMzXSqpqOWi0YfQSo7II9Oz37KWXXtIUMZPVtZA+gIIP/sq8o9EVapD+hZEOdMxgtAA/ovZCgTg2fCsEhQpMPEZKBNI4nQ0N/Fjboy4mYJQP6VO+aR0IMpE6ZWo/bnJz7Tq3Pie395UcYXkKLDAfrDWC3N4P9xU/u42JTkP8VuG3Cd9pnKfw++ivuEFioVMGvxO+oyn4rqGTnGtdXt8tnVaHXG0EQhhZwbovaIw4e/0wXIdhwfhWhQ40hQAHbjDTFQA/NhiGxIYvBfaLCXkmg6Ngl4cGnIzs9Bg3oBfHd0QHozl4TRgRC6ViFklVLQclNfHYCI6c6w9g/o6/6nKJhTQpHNf43mLuhe+oosngyK2gGSluGIVAB43z9SAtDJ0qgcLnjkABaV/4bK6XLmJyiQFMpN2/f3+c4h9odJjs+UXPJUZgfYMjXBeM9WzQa4n30l5/CvPekEKNxj06pkyMSLi5dp1bn5Pb+3Ljc7Lhs0LxFBS78ddpY2c7BNoh6tZ+uK/A9+XM3MF5CNMEggW/hegA9Q2OMOJi+nzxyy+/aHEpf+9dMDri3ejgvaWDIwxx4gSMoThA49vZAEfjBA0rk8ER0sOQG47HdeZjYr+4zTT0uqEABFLs8EVEShrWcQq18tDoSX/rrbduOCHeZFqiL3zpe/bsGZQJ3cEsZpFU1XIAaVm+C7OZror33HPPadCCzgWTQVdSBs1Y18hfIx4/CiZy7DEKa/9Aupk2jFQSHGcIIvE60EGFYx2LgJpcCBn7QRCOjhl73hQ6vzA/x14M0SQce/bEYLwezH/D+4p1N/CdMzFK6ubadW59Tm7vy43PyYbXhAY3AjHMiwzW3Bi39sN9hRZMpUAhK3SwOs+BaP+ZLOX93nvvabsInQ7o6PDtnDQdHLnWwWvdwmrXrm3dc8891oULF+Lc9sknn1ipU6e2xo4da3Sf6dOnt6Kjo/XvTJkyWb/++qv+jf9HREQY28/y5cutJ554wsqSJYuVI0cOq3v37tbatWstkxYvXqxbWFiY9eGHH3ouY1uwYIHVq1cv68477zSyr+bNm+triYyMtB588EHrkUce8drcsnfvXitfvnzGHs/3deB1VqtWzUqVKpU1bNgwy7SsWbPqa7D//vHHH/XvTZs2WSVKlAj48StVqmSdPHlS/65YsaJejm8zJUOGDJ7vUVK4du2afr9ee+01Y4953333WW+++abnPPHbb7/p371797YaNmxoZB9DhgzxOvfZn1swxcbGWq+88oqVMWNGPW9gS5cunTV48GDj+5kwYYJ12223efaDvydOnKi3mYbz+sGDB/XvF154werQoYP+vXv3bitXrlxG9vH7779bpUuXtkqVKqW/Tfjtypkzp35vjx8/boXi5+T2vtz4nGz4bL744gujj5mU++G+EudGv4PB+E2EmJgYq2/fvlbatGmt8PBw3dDGfPbZZ61Lly4Z20+hQoWsMWPGWG65//77rW7duunvrt2GPnTokFWrVi3r888/N7afW3rkCOk4SP3BRFcULrAnHqOUKHrSMZJjepTFrRQCzPVAdTes/4Io2+Sk6qQoD43RPdNlLhMDKU2Y1GiKb0lNTGbEnIIRI0YYK2bhZrUcTIa087Hxtxs9cJh4j1xuNybk+oP3E6MROJcgTcdUDzcmoyMVFscbCnPgb+Sn+06ATSxULerdu7dntA0pRUg7C+b7iOMBFfFwXsV5ECMfSGkyXYYa+8FIADZ7oW3TqSROeP4o6oOJ/yj4YI9OYfT3n3/+Cbm169z6nNzelxufkw1rktmVH4PJrf1wX4G1k9yG14TfDVT6tVOxkfViOrvi1KlTWhghxZVDt25xJ06csEqWLGk9+uij2oM1f/58K02aNNarr74alP2NGjVKe//QU585c2Zr/fr11uzZs63cuXN7eopNOHv2rOWWIkWKWH/++aeVkvTr189rQ2/L448/rj0VGBELVfXr17fmzJmjf3ft2tWqWrWqHn8YjcDfJuzatcty0/vvv6+9Vy+//LL12WefeY1gYnMDeh1N9zzv379fP6O7775bRwvatWtn7dy509jjo4feOeLgHMkOtl9++UVHty9evKiXgzGa46a2bdtad911l9WlSxcdyfzrr7/0ehx/ZcqUSeqnR0nwOb3++uvW008/HfRj2639cF+h4erVq9Z///tfz7nVCdfhNoy6mPLkk09aU6ZMsdyC39mff/5Z/77jjjv0dwR++ukn/U6bwmp1/5ughol2mLyLSnLIcx48eLDRfaBHGT21KG2IXmFE83a1EPS0I7965MiRRveJ3gKsqo7/owcBIwWovodeM0zsDkWYi7Fv3z79GyMsptehsqGajJOzPDnmt5guUblt2zavhdpQ3jYY3KiWg/cKFX1QMhTz9YLZY2/vLz6m1y7xna9ir+mFkWf0WvlbkTy5wvtmr//iVklc9NpjjQpM3sVng4m82B++U5ibFuhIM851OM/ahTFwrsNIhA09jRilx7nDJMw5w28GfkuQf48Kg4D5QOjBxchIYmC+aELZ64gl1s30uAY6N8fNfbnxOcWXvYHjHHMicE73zd4w9brc2g/3lXg4H2GE142Kepg7hd8hlAX3XRQVWQgo8vPss896LTQeiNGjR+v6SZiv5W8NStNr/7lVDv2WDo7wptpQWhgNRaQC+Z4gTayabQ9n4gPEQnSosBHMFAKk3iAtB4UeUM8eDW80QrDuBxrIKO8dStVD8PhY4wVpgnY1FHzx8ZmhUEOwJ+IHCwIUBBAoe20XBsEPOIIXpM8EK/gLJnQwICjHMYbPqmXLlhooYd2FUOd20BxM+P7YC13bi/YhcPBN+UXVI1PwfcUx//7772s6px2MYdFWBJ579uwJ6PHxo48UM/xg2wEfJgTbASCK7CBgMrlgqpuBv78FTO3U1UA7AVDR1IZ9oCgN0m3tClvowMG5CYENvt+hsq+k4nyN/ph6XW7th/sK7FyLTjT7PIQqyeiUNF2cCPA7iwXQ4yskhvU8ETyZWucoMjIy3ttwbjJRrThJyqFbtzCklWCSmvP//v42AROfMWyLiaYjR440OqzpDybrjh8/Pk66zObNm3Visknbt2/XIgUomIBCAkgRxHuHCbYooGACJrwXLVrU+vLLL60zZ87ohlSmYsWKWT169LCCmXaJ1Eds+Nu0xx57zKpSpYqnMALs2bNHr2vdurUVDEiB3LJli7V161ZPWkkwnD9/3po+fbpOlMTxgCFwTNw8evSoFYqQcoHJ3P7SFUyxJ87eaDPBPr/ZW3yXTcqbN6+1Y8cOvwVpcL4IVNmyZfUcF1+q4Jo1a6zixYtbwYLzPNI7kLri3EyIiorSlDCkkdjnQPyNc8WKFSssk1CsACmdSNGx4W+ch59//vmQ2pczjcj3cwnG50SUlCnMaH/ZRb/8QXEf0yngKdEtPXJ0o9WybSbXPsDQLSbRorcWq7X7DnsGmhphw0gUFkFEVO+7YCDq3ptcWA8T0e+8805PeWjsy1ke2sQEOZSJxEgE9uX7fiJNB+l2Jrk1UoX3a+XKlZqG5oQFTTF8jN5TU9Arj1QSlPN0uv/+++Wdd96Jsx6CSRglRe8bRk6RyoV0lptJGfKFku4o1YyJ1Dcq725qWB/HAfaH99F3/RyTIwU43yBF73qplSZWAU9oYQccH6bgXLR9+3Z9/5znJfQGorAG0u4CfXyMkturpqMgA9Ko7DXYcM7HcW568j3OP0j1iG/dEhOpnSgxjHOs71orGKnFd8FOyzUBv0/+0g+R0oyywIF+Tm7uy5k+ir99R9/sy6ZTcImSIoU5Y8aMWqY+vownZExVr15d2zgmXb58WaKjozVLKpQyKOIT+q8gADcb9Dz99NNaRQwN9cTCUCDWVUDAgHQjJ5MnZ6RoYRjXd8gTNeJvu+02CbXqIZifhTWafOFkE4yVnpHig8YjKhraa1/hBxwNbayrY6+VYaLB7a+SIK7zXUwtEDgxo5GLhgjyg9FARIMAFdCwTkGtWrV0vZ5gLJAJqAT00ksv6Xdu0KBBOkcn0HV6kMONYAV/xwffKVPBEY5vNOrRWAtWcISg+IMPPtA5gvjuIlUPr9N3rSgTbjboQUpujx49POmfiU35QIeDPb8Snw+Oc5wrfFMWE/sZYZ0cOzjyPTaOHz8elMqdSOfDQt7Id0cHDtLEsC9UPDVVsRPzqfy99+hgQaeXSZibgFRz34AF15k8L7mxLzTY7PRk/O0WdG74q9aJ63DewjkRAXWgx71b++G+Er8vPI7v+j/BquSK3yakmcUXHKEdY/L36+LFi9qRjAWWAanaaP/hOrQ1MQhgEs6rmKNvL9jrO75jrIMjqYeuQgmqywUyFIp0nD59+miteaxh40wjMO25556zatasqSlMeN6oDvXtt99qaprp9XPcqB7ywAMPWK1atbL++ecfr/cT19WtW9cKxroH33zzTZzrV69ebXRI+qGHHtK0sz/++MNz3eHDh7WWP9Y8Mpm6gpQc5/vnfB9x24svvmgFA9bX6tixo6YSIPUSKTQbN260QtGSJUv0exXsinz4nD766CM97vEdQqVE06lTbp//AO9bnjx5rEaNGun6G6gSikp8SLdDdb5AVa9e/bqVRkeMGKH3MQ1pxXY6H96nffv2eaqg3XvvvcbWvkK1yWPHjnmuw98NGjTQc4hJqNCJcyBSs+20YlT0wrkPt4XavvB7iN8jN+F8irXkcL7o37+/bvgMcd0zzzyjnyXSVhctWhQS++G+Er8vpNVly5bNyp49u264jMe2L9ubCVhvD98nf2miSGnGbSbX5Ovbt69VuXJl/d4iNdr+jcB7hTWeTMNvByo+v/POO9bChQt1P87NFAZHNyGQPNHvvvtOc91RLhRzPYINC4ChEYrFAvFFRHlyfLnbt29vXblyJSTLQxcoUEC/2GgwYsPfmD+FBfyCsVigcx6QDfsyWS4Si5fhBILPB4ErNvyNBeGw6KMpeDwsbByfjz/+2OgidAj20EhFsIzjDw1EzD/CPCRThg4dqoEXjnW34AfOXlQP8weD8ePmL0e8Tp06us+///7bSiqm8uRPnz6ti36iY6Nx48bWf/7zH+vIkSNGnuO0adP0+7ls2TK/gS1uw31MQ0Bk5/mjrDw6ouzPDucSE9ABhTlVOP4w1xIb/sZvCjq/TMIcHTSgcM6159/ib1xnulPPjX3htxffHwTGH3zwgdHzUHzwW4hg3BfmHOM2+xyGhmUo7If7Svy+Zs6cmaDNhMuXL1u1a9fWth8CCSxDgg1/4zp0vOI+phQqVMjT2en8jcA5CedF07CPH374wQo2BkcuNQ7Q4EXvlcmViRPa+EbhAjSM7dEd0zC5HyMqgEmHCIrwpcBohMmDGJOd0bCxe3bee++9oE2Od3OkChP9MSqAda6wYeK1aeilul4DCrfhPibYJ2H0pmPEau/evVaw1tdCQwqNT3xe+CFDo9R08O/kxo+bDcExXhMawfnz57cGDhwY1Nd2I26ugxQIFDLBcYERKYy+YsPfaBzj+xsMKIpgj5g3a9bM6tChg44A4/hHh4fJc8XXX39tTZo0STecN0yvzYJjbNasWZ4RKrv4QzC4uS/nCDa2zp07a6dlsGCU3N85F9fhNsBoFp5LKOyH+zKzr4SYO3duQAE8gh90LlSoUEE7hPAbib9xnenOxPTp03t+F5y/ERilst87k3AuRxGwYGNw5FLjACfmm9GzZ8+gLKyKoVYEapS8RqqCDQ1DZ7UcX2icoNKgCWgcYng7ob2+CAISW70RvfUYkXriiSeswoULa6MY31ME6KiM56xcFoghQ4ZocG47efKkFQz44Zo3b56OxmJk6pFHHrGWLl0a1BRcN4MjpKrgvVy1apXfFE9TMBL68MMP6w8pNqSv4rpgQQrkjBkz9G9kBiAlzB5dxOcZKDR28P10a4FlNHgOHDiQ4vYFaHRi9AgpVDhfYBH4cePGeaUrmoD0UQR+vnAdbrMrkwaapu3WfrgvM/tyK4XZrUDsvvvu005d+zcCo+XQu3dv/R02DZ1DSCW+XkU+ExgcJdOe02B9ORDNmy7Pi5SfU6dOxbkePYC4zYRRo0bpD5ovXIdGcDAEc6QKjUM02vz1kiLtCDm169ats0zBZ445HXbPrO+GUUXTx0VSHOs4MeOYQM+9XVo+GMFlsL6fOXLk0CAPKRzotYzv8wrV8x9GwhD4ITcdcy+Rbom0OoyAOINPt4wePdrvuStQeC3btm0z2sGFZRHsMujBhtQb5POntH35wnfspZde0u8dUhRNwrGOwA9zMhA8Y8Pf6MlHWilMmDDBqlevXkjsh/sys6+U1tZcv369Pl8sqYLOIHuOFs7xpqaQOOdrYbNT27HfYKW239KlvG+WGyvIB3tfeMy77rrLaMlS3zKVNlQSQbWSK1euBLwPLJY2d+5cLe3qhOpQWOzMzSpEJqBkOyrfoNSwPyhPjTLlqHplgl3CNj5JWcrW1LGOMs1YTHf16tVaaRDHH1YDx+VQKcXqXPTT3+eVEj4nu0LZli1b9HOyPzO8dpNLDCQEFrhFtU03zumBQhXDBQsWaDn8HDlyBHVfWCgSVSVxfqpcubKWBza9MHpS7MsJpYyxb7yvqO6Fankmy6HDnDlzdMFNlCUH7ANVvNq2bauXUVLerogWCvvhvszsK6W1NX/99VetZorHOX/+vLYxBw4cKOXKlTPyHO1KeAmBCskm3PLBEX6kR40apSVz7fKv8cEaMShBG0gp75QUHKFePlSsWFEbN84fbDw+1vxAiW8TZWZxQsIPl29pcqy+XLp0aWONKqzMjjKRixcv1oaTE0r1Nm/eXEuxB7oKM0pa4/0pVaqU39tRxhbrHB06dEhMSIo1bYJ9rOO9QcMaQST+/9dff2nwjNeA0uRVq1aVtGnTGnmObgVHyflzatKkiTYk8+fPH/Bjodyr/dnhNaP8Pz4zU50BCWXqc8T5bubMmZ7ysr4lqE0E6Cg3jPXC0NmE84dvEIH1o4IRpAd7PSA392WXMp4+fbqum4d9tGrVStcetJdsIEpqoRYcpUS39DpHgMWqxo0bp4t73oiptW2C6ezZs9e9/dy5c8b2haDIrtf/wAMPxLk9ffr0umCqCQULFtTFS32DI1xXoEABMQVrkuC1+AZG9noi9evX1+Nl9uzZAe3nRuut4Lg0ubBtUqxpE2wYTSxUqJB2WmBDr7Pvosqm4BjHdwdBut1oQw+Z7/fN33GT3D8nvGdYE8135BfrOeE6u3H65ZdfSqDQC+sMhvB6sQ4GRgeCte6HG7DYNYKjpk2b6mKtwXgt6Jhxi5sj8W7sC8c3ep/xGSEwx4gy1ntD1gEWTCeixKlXr560b99e17MM9PcvIfA7hN8sLBrutGLFCv2taty4sZkdGUvQC2GYrGu60lRS5ZxigilyMePb7NtNwCRaTIrDY6JiHS7bG0rzmpxEbtfux+R7ex+YW4LrMB/JFFSW8rc+gG3nzp2a+29iP9fLs//888+N7CcUJoQm9ljH2j+oiIc8YxSBwNoomOdhunqXv+9VfJdD8XPCc/dXrAPl2JFDbhL2lTt3bq28h4m1STHPKBi5/TgPoSooJU+Ye4iJ9agY62+JBlNwLrLnmfnOkzA5N8Kt/XBfwVuiIbnMOQp0X3379tXfYczZwrp1KMZkslS4r3Llyvk913711VdW+fLlje3nlh85AkSa6L3ctWuX35xnzA8JFUhTcQtSO8D0iun+DBgwQHuyn376abl8+bJeh1585LUiX92UP/74Q4eZ44NeRvRCmkhRGjJkiDRq1ChODjNym19++WV58MEHJam4mW2b2F72efPmeVIQ7dQ6jOohxbJmzZo6KlG7dm25++67Q+p75dbnhHlt9vv//vvve/Wgowdu3bp1UrJkSTEJ3+H169frZ4XvLVJlMQKNzwkbUklDEdI3ixcvHtR94LwQFRWlIx/2nAj02mKE3rT58+fLxx9/7NnXnXfeqaN+jz76aEjuC3OL8DuOEflgjsi+8cYbnt8PpF8Hi1v74b6SBtpW18ssSU4mTZqk7+XKlSt1XjiysDCyg+9vu3btjKeA//LLLzqVwhd+q5B2bIyxMCuE2QvP+duSqoIXKn8Eo5S3yWpNWAXet1TyypUrdQGyu++++7or1SfWuXPnrO+//15L2gZjzajbb79deyDi8+WXX+p9AoWysSgVXrBgQR0Vs1d3RuU9XIfbTJeWTak9V75QchUV0ExWq0suVdBMvndYJ8peKwrHnH0Z25133qnlUjdt2mQFu1oY1p7BulhJca41dexh1PLpp58OyqglLF68WEfcfH+fcB0WtzUFJfUfe+wxfewSJUpoOXRsOB7w+WC01tRrdHNfyXnknG4dyAb566+/4lyP34qkyhTBItJYD9OUf/75x/r00091XaVgnNPz5s2r1X59YX1InA9NYXCUBPBFQEoJykWijr5zC6UfASyuiDVLbPZq8GhUYagVDY833njDCiWdOnXS9S/8wQ81Sg/jPiYgNbBx48aetCw7GMd19loBScVEoxGLLJ49ezbO9VhTAbfZcGIONAUTgSTWk0GnAhpaeC+REoZAPSU3rkx8TniPgrVuky80DJAy2qdPH02PQPCKlDSs5zRx4kTLbfiuIQU4MfCcnRsWUUYD58EHH4xzWyCwUCnWpmvZsqW1YcMG/f3AhutbtGihZW3tFeoDhXLFKGuNtbX8BWi4zdQ53c19JXWHDRqMbpTjd2s/3JfZFGb8fpkuJZ8UgdjRo0f1O1u5cmV9rdWqVTO+j+7du+tvB5YmcXayIaWuS5cuxvZzy1er84WUnGCWaly6dKkONWIyNyavOVOK8PfJkyfFTYFUKkGRBKQrVK9eXS+/8sorWgEIpXEBla1QkMG+HGjZVaQ6xFcNClXrTEBJSqRWImXlueee0//bqVso1oDUj61btxpNoTl16pQOB+OreMcdd0j27Nnj3Ofw4cNaeMJfZafkWsEmvon+qCqXL18+rRQZCBx7SM/ChvKrSENACh1KpGND5bqIiAhJCm5VAAq1SkM4JlDt87777vOkPZoq95qYIhOB6Ny5c4LvO2PGjIBScHGuReVPf5566in5/fffjRTMQGGMZ599Vqu3+oNzOtJo7EqlobKvpPhe4TcLad84T+G482WqCp9b++G+Em/JkiWeoiooDILiTs7HRrsGKbN2GfFgLrGCYlAoZISiOCacPXtWPv/8c02pw28xvjNo42IrVqyYmIaqwZiOgHaYXWEa7SP8pmCpA2NFpIyFWSEMvdYjRozQVCb0ZNo9RoMHD7bef/99o/u64447dJGspJ6IbKKHDD3zzuHYBx54QN8zGyJ79Kaa0Lp1ayt//vzWCy+8oD0T6GV2biahuASGmp2T7vE3rkNK362Q5hHIcYGeNixki/fMd+FZjFBghBSfZaDQm169enVdxBFD6qYW6A2ltEQT+8H5D+e5Nm3aWHXr1tWFm52bSbt377bc4GaRiWDDhHAUgokPCshgQrkJeG8OHjx43dFuU++fm/tKiu8V0iyx0Pdnn32mGRUoJoTFRpGWPXv2bGPP1a39cF+J58wM8U2NxYgRUkn9jaAmBkZdseGxP/zwQ89lbAsWLLB69eql+zMlXbp0+nv+7LPPatvJDcjiQfbV2LFjrbfeestau3at8X0wOLIsa/jw4Vo9DF8CfDHskyLSdO655x6j+8KKy8kplzmQHwEEk/acI+SPY47HsmXLPLejKhCuMwFB1rfffmu56YcfftDc2U8++UT/TkpuzgEKNN3oRhUT0QFhrzoeCKTnJcd5QG5+XoF8Tjb8WGI1c8z/QMcNfuScWzCtWbNGKw+ZSuubNGmSbjjOMOfRvowNaVxIBa5YsaJlGtJgf/755zjX4zpU9Ay08YFAwY0gAoHYjap1mgrE3NxXUnx/MY/vm2++8XRuIfUH0GDF99YUt/bDfQUO8zmDPZfczUAMVqxYoe0/N6AKHtoPmHMebAyOLMsqVqyYFhLwPSn+9NNPxk/OyD9HYzu5CORHoG3btppfj9Gj8ePH62M5G6zohTFVWhEnlWCWYL0V5paAby61vWFuUExMjLEGL35ocDJGTxUu2xvmTKD3PimEQnlyG37Y/I18IIfc9CRXN8pQo9CIc1QZPX8NGzb0/Ghjkq2JUaWkKjJRq1Ytv8tBYF7p/fffH9BjI78ePdnxwZIGuI8JTZo00Xl78XnqqaeMNRbd3FdSnG/R4WCPjN12222ejkQE0rjNFLf2w32FFjcCMduVK1c0e2Pq1Kmeecb4nUcBLdMwX2rHjh1WsLGU9//KN/ubQ4J5LViNPFB2vilgkUCUpf7xxx811963XGMolQ1/9dVXdVFUlJ1Ejj9KAzvLoH/00Ud+F4dNjJEjR8rQoUM1XzdDhgySXITalD3k416vdDZyeDt16qSlxBM7v8ku3YnFHZHbnFwW9wylzyq+54o8cZSNDrUy1J988onm9NswNxGlwlHWu1SpUlr+dfjw4Zrzb2JBUcw5Q/65v/l7wfDDDz/IvffeG+d6LDbau3fvgOc2Pf/885I3b16df+T0xRdfyAsvvCAvvfSSmPCf//xH54Fh3gX2ifK4OBZRch1zLhcvXmysrL2b+7pZmL8QaIl0zL2wz4F4bTi2q1atqvOOTS6u7dZ+uC8zML8ovrnT06dPD7mFnA8ePKhzgA4dOqS/T2gTYs7ea6+9ppenTp1qdH84b+B8h/Zljhw5JGiCHn6FgLvuukt7+Hx7jJBuF1/lMlOlwpO6bHigaTnoMUAU7280ANf7q5aSGEiFQc8/Pp+yZctalSpV8tqSSijNLQHM90EeNXrxUQIYG/5GL/u7776r6W4YLTVRhh0l0devX++5/Pbbb2t5T8xtcas6WlKlJib2e5UUaWHBLkMNOKacI7+o+NihQwfPZVRbM1EiP6kgfXj79u1xrt+6dased4FAygoWV8RvRMmSJTX7AMcBqjLiOEHFOpNpLRjtzZUrV5x0WIwwIhvAJDf35ZxjN3/+fJ1njA1/43fMNHxf8b0F9Koj9TEiIkJfn8l5sm7th/sK3LBhw/Qxq1atqmXr8T12biahIqj9mpwwRwfp06Y8/PDDVvv27TXzxPkbi+yR4sWLW6bh9w/7weeDbIBgtQVZrU5Ee6g6duyoixKOGDFCezBRNeTDDz+UZcuWaSQcahDFXw96SNyG6nyoXJeYCkD4TK4HIx1Jwa1qYYG8d05169bV6laPPfaY1/XoKUM1LPRooUcGo4Ko0BcIjIyi9wi93VhguUqVKloBEL3B6J0LpIJXcqvAZ6oKWmRkpKc3DqN42J9zhKdIkSJ6jqpWrZqY8sgjj+hngl64MmXKxBnNxgiM6fcenz8qlWGhTft8hcqQWOjUBHwOM2fOjLeHdvXq1WJSs2bNdKQBi5nanxmew+OPP66VsL766isjo2++i6W2bt1aN9MuXrwoX3/9tS64aO8LC/QGY9TezX3t2bNHszNQxcuuRIr3M3fu3DpKULZsWQmWAwcOyPbt23WUFpX6Qn0/3NfNy58/v4wdO1Y6dOggwXbbbbdp1hKq7zrhdeE7gApvJuTMmVM2bNig3yfneR7vIRZrxffbJLfagkyrE5GHH35YT4xodCAtDOlbd911l15nOjBCwIUfTN8Sw5cvX5Z58+ZpeokJaERdL53JZBnMhAokDk+q4Ce5MNWHgZOYv2HuSpUqycaNG/XvmjVr3jC4Tuiwvr2SNUp9ogE5atQoPTn7pgeFimCnuyVFWhjSRhAgBRNKuiKNDj+aOLbQIK1Vq5bndvxQ40fWlGeeeUaDI6Qxo8Eb7NROLDOAdFI0EJCSBUgZRJlbU4EYfjewJeS5IOgMJB0IgUlCjgl0gKCEOEqNh8K+unbtqh0AKANsf7ewlAJSibt3767nx2DBbzK2YHNrP9zXzUM7D0tMuAEdds6S4c6OViynYUpsbKzf9iTO6QiWTHOrLcjg6H/wg4Y688GG/HHkZ/r2PJ87d05vMxUcIQfeCXOncN2ECRN0VIDMMN3oshtTaGRhLoYNc9SwzlGg0LDA+iFoQDnhOrvRgZOqiUY5ggW712jlypWeYxsjFHidoQTz6ezP+/3335dMmTJ5bsMPAxr+GA0xxc25Fm6M4PXq1Uvn3iBg2LRpk66NZgfOgGMeAbop6GjCaKhbQTga3FiP5+2339aeU4wi4XjHaw5qXrwf6IDAyLDpuRL+oHfYxLxct/aF0XdnYAT4G7+JWCPNNIxcvvHGGzqPCnBOx4hpvXr1QnI/3FdgEJxjPaAhQ4ZIsGHUa/ny5XHmPGIU22SmS4MGDWTixIkybdo0z28k1vFEEBOqnaDA4EhEF9DDB2ovKPX999/rAYwfb/Qmme559tegRpTtL8pPrAoVKsS5DmlNaGCPGzdOWrRoIaEAP1wJCUDcXjzX1IgOGjHoQccJDClF+IzQCMDjooHXsmVLvV8gvaVOr7/+urRq1UpPkHZjAI0FpNBhkjxs2bIlQT3UN4IRqP79++tEdXynkBYEGDWwv2uhMskaP5qAzwUjb/7S3UxOPHU7LQwL8mIBPyyC3LZtW+3xO3LkiPYyOgPBxOrWrZu+ZxiNx/Hu2/uHfcW3GGhyLTJhQ4MdHV74/BGYJDVmyscPKXtYBBPBrBO+Y6aPl3feeUdHMB999FH9P6BjAA1GnE/QYRBK++G+Anfp0iUNItBZiHQ93xRmdF6bgt9etCv+/PNPT2Es/J6g2AmCGVPGjx8vDRs21PYyXh9+P5Aii8W+kQZsGgpFuZIVZWz2UghD0QXUs4ejR4/qxH8sLomJoijKYGoSGSaLYTIeyq46J5Ch3DX22apVKyvYUL8fay0lhcRMiEd53IRswYZJvFjryLeQAAoOXLp0KdGPixLGdlnKOXPm6ARGLBD8zjvvBGU9Frs86cCBA3ViN7YXX3wx4LVY/EFp1KZNm+rx7VxMGWvnYLKoKW6Wva5du7YrxSTcXHsI6+Rgoj/OC85FsPv27avllJNCoGtSuVFkwgm/Ff7WOUoKbhYeCYV9OZcsQMl6LOaNIgy///67bvgbv8mmy9mjJDQmv/tCYRqsERhq++G+zPx+xLeZXnAb0I7Aa7OLfqEMNooymXblyhVdJ3TAgAFWz549rffeey9oi7IvWrTIa8P3FwvB43U62xmBYnD0v0pKe/fu1b9R3aNGjRr6N1bgxcFkqkoJNhygzz//vOcytlGjRllz5841ts4M+K5jc/r0aV236fHHH9eKYSl1nRm8jze7OKg/aJDaXzQERvfee69+dmiw2ovFmYCqOFgnClC9C0GLHViE6voKbsPn4i84QgVFU4tjus2NtYeSqtqQG+cKVH7CwtE4f2MtNrsjwN5MQ8Bqf3eTWigELG7uy3dRamd1WN/LJuH8bS8m6oQg2vQ6R27sh/sKXSdOnAjKmkPXg2qt6ORzCzqXH3roIWOPx7S6/6VF2AUSMNxprzWEOQSoTGUC0kgw3If0G+RoomqJ2+vZIBhGehbStVJqugcqsaGSV6A5tUgxa9++vf6NVCBMlEfqGSq5oc7+d999Z+T54vNAIQTMS0B+sP3ZYJJwunTpJBgw7wOV6X777TeZP3++VrXB60KlNKTCBQOG2zEZ1QkpW6E0D8jNdDc308JwPGAium9BCZyrsAZcKJ4r3Cgy4ZuWiDVK8PuB6lDO9d5Mp8vQzUmqtZLQjli4cKGua+hbHffBBx8Muf1wX6EL1RiDYc+ePfr9wm+HPc8RxR4whw9pxsGu4uu7ppzJaTAMjv43mRYfJCoboSgDFhy18+BNVlBCzj0a7/aEPzd/EJCniS8IGlypU6c2vi9U17oRzHNBQzwUAjB8wfPly6d/o0IS5ukgXx3zIiZNmiSmYMJnu3bttGGPxXSxKCKgYY/qTKahahzKiGKfqBqHKmtw5swZnS+B12oKShhj4U9MjEeRB9O5wW7PA3KzChpKnuM4wwT/YFdac7vakBvcLhO/e/durXAKdqltW3JZBPlWZS9K7TbMwUAjEXP5UIDEnseCjjV8v+3OHejbt2+y3w/3lbh9YX43fjPQGXijud4mlk3w7eTF7y8qhPp2TuL3PxBLlizROVroGAKUKH/vvfc0SEIHEYJNzMV0A+Zr4zMy2b7kOkci+oVALyMaiCjpaa9SjFV4MVpg8oDFhHus/YL1ZlIKjLphgj2q7WG9KFPFA5Jy3SEEKvii43PCiMqUKVO0QYyeEoyuYGTHFBREQFEQlI23Rz+w8j16YVDMwCRUBOvXr59W0nK+V6hk2LhxY13/wxRMYkXgjM4GBGSTJ0/WkQiMWqFaHgI0E9wse41JpijHH+wqPG6sPWRD8Q0Ug8FEYRwTqLqGjhQscYD10NwONEx9j4NdZCK5wrGJ6pPBzk4AFC7CceI7UhbICHN8I+am9uXWyLm9ZtmNIHjGc0nu++G+ErcvtIvQcMf5B39fj8lzLfaJLBe0aXFux75xLkTBJfw2B1q1uGrVqto+we87MjdQAAK/VWg/B6PyY3xFuhDCoNozlgSYPXu2J/MrUAyO/gc9pygv7GxgoWoY3nDfstuBQOoUFpvFAeUv/SKQVCNE8gll6gCyR1nw4zJr1iwNHlAZpUuXLtK8eXMja78kRXA0bNgwreiCBgbKUaM3GEEgvvgImuw1gUINjmeUBceoivO9wgnfrjZjChrWCCQwGobj2l5UD8cKqtiYHKVyC6o9osGNUcRgcvNHFCNEqDaEnwJUGUIHjl1tCCOYJs9/bn2PsYguei3RY4rRUXx/8VgY+cNl0yOKbv5OoUfWWW4Y51nT2QDOnnInNEoQvOB7jKqDztHaQEYu7TQcVJKzPyuUO8Z5Cr8lwRg5x3kI50LsCyO0OB+F4jmJyB+klGM6R5s2bbzOp1jHE9V9ccwHImvWrLJt2zY9F+C8hPYR2rfBKLPuhHamv6woTKcw2UF6SwdH8ZWJxoeOxs/zzz9vfBFYfJA23+gXlwNJNXI+tv34zo/Xub9gLQKLBjAabnYJR/TY4sfNX2nx5Bwc2UPSGNFBSp1dehpfTIzooAczFEs2431BLxJOYM73CkEMRnPQWDAFvfN4PARJeP8w2oHeJszfQsog1kIItfcQZUsRSLqR7uYmjLJgvhtGjfC5IEUMDcjElj5P6u8xAgY8BkZQkBptPxYCW5QVR/BnEkYvr3c8mDgG0fGETi2M7mIdNEAggYYB5kUizdMU9KSjBDA6hpyLpaJzBd9rfM/wfmJ0M9BMASy+jvMq/o/PBimKeGyU/kcHlcmOKDdHzomSEr6r6ERBFgw6uDBlBO0wnPswP8dfqvvNtjePHTvm6Twz2faKD9qz+/fv1xRBnANNdwo53dJzjuKr9X769GmNiDERDw3kZs2ahcTkUGejEBODMd8D80jsHFr8yAwePDioa3GgUYW5OmiQoLGNkRasIYDngJ5B3/UlkjPk0/pC2mAozmGxofGBfeJzwb6QZoTjAnnV6FEyCSdJBEIIjtCLhdxnBEdoyJlc08vN9/Dbb7/V7zDmzwU73c3NtDD8yNgFSJKDQNakSooiExUrVoxT5AcLjqKhb+qcgQUkccw5FzFFwIK0GUxExus1Bb8R6ERBukyxYsX0OjRKMGcW+0I6TevWrTXQsNdHSyx0zGBfSGHu0aOH53o05JDWbtK+fft0xMsXzkf43TfdkMN7g/OFv04bU+cKt/bDfSX/eUBOaIdhhAjBEX6DMYcK3yn8JpsaE/n66689v+V4z9BBiXNeMLKU8LzxWHYHLjpcMRKMTIdguKWDoxv9aOEHb/To0UaDI7cmh2KiP4IRZw41UmfQm4AfN9NFIdAYQGUXNLrRQ4EDFr3rGNJFDySCMozAmByZ8AcnAt8Ga6CpJP4EOgHUht56nCjdWkn6xRdf1JMYGiLoFUZDAcPhqNKDxpfp1DD0JOGYx37xPcIxgWPFZPUuN99Dt6qg+aaFYQQbwRHmKwYjLQyNxrfeessrXQsLCJqu9oc0LFQA9U3VQy8mrrNHtANNb3K7yIRdHMRfeq6pEVIEW87ACPA3UtJM5/jjfI2Ghx0YAdJnsIg0FqbG6CkmYNuLVAcCwaq/yoz4DHGuMAkNRgR5CJJ9Oz1M93jjNxhzmzCqmDdv3qB12ri1H+7L7DwgtJd85wGZhOkNmGqB0VLsx+7IwDnkRoUhEtuGRueJU6DZUE5oo6DDEPOKkNqLcxH2h4GMoDBWFDwF2rdvn5U9e/aAH+e///2vde3aNc/f19tMwfouu3bt8vtcTK/90rt3b12XJUeOHLo+kL/9YnFdrCWRnBUpUsRrw/oGeM44BrDZ6xyZWvsK8ufPr8eZ27CmzZ49e6zNmzfr+gdYNBML0gYTFhv9/PPPrbVr11rdunUL+fcwpaw99Nlnn1mpU6e27rnnHqtfv366YRFsXIfbQnFNKiyeax9jeP+w8DGO8wceeMDq1KmT5RasnWLiNwSwmPKqVaviXI/rypYta5mUPn16a8uWLXGu//777/U2wMLRJtaAueuuu6yPPvpI/3Ye61iAHQu0m4Q1BUuXLm1t2rRJ19LCIt5YvDJ37tzWm2++aXRf+NzdWKvMrf1wX4ErUaKErsXoe6wPGTLE+JpAaHNicVbbxx9/rIuv4zg3uaamW9A+wffVuY4S1iYzsa6lPwyOrmPnzp1GGozOBoG92Jy98JxzM7kI3X333WfVr1/fOnbsmOc6/N2gQQOrVq1alklocOALf+nSpXjvgy/pmjVrbnpxXjswudEWjAXFsPCrvTgw4G+8r/gxNQVBydNPP23FxsZawYTP5sUXX7QqV66sixwvXLhQr58+fbquAF6wYEFrzJgxlht27Nhh9Fh36z10HstRUVHW1KlTrbNnz3oa9yYX2UNHg33sOX9E0SC1G6emFC1aVH+cfQ0dOlRvMwGLa2PD5/7qq696LmObMGGCLtpasWJFy5Tff/9dG8GlSpXyBH7owEHjxF9wFiwffvihBu+J5VzIG423MmXK6IrweH3Y8He5cuWMN+yaNGmiQcv27ds91+FvnD+aNm2ql5csWWIkKMMq91iwF+efDBkyWOPGjbO6du1qpU2b1lqxYoVlAoJjwDnilVde8XR8YUNQPnjwYMs0dLBh4fVgc2s/3FfgcO5GJyEgIMdvob3YLM75JmEheX+/ibgOt7mtSZMmGtAkFr6rzvYs4Htsf7dNu6ULMiRkqBU5z6jAEWiKDHI+McSIv2+UFmYCUgeQ/oMJu/aEWRQXuOOOO7TaEf6f3PlWJbke03OBkE6CIWgMSTthCBdzkZD/GkolmzH/DGkDKMSAuQlIdcRQO/KQUbIeKY8mKk8lBFLtMDfN1HC7m2Wv3aqChnQprLGBCoLOia5I/0EqE6p6mYJUWxRi8E1twsRd5Kgj/TJQdqlcvH/IFfe3JhUm5KPiUCgWmfBNU8HPKtIHkcKCqmuoGpXYSc++hXvAvs552WSRHUy0RlU3zCGwv094P5GOiypvSD3Cdw5pb1jUPFCYI4bPH8e5/VlhDqSJx7bfR/y2Im0KGypoovwv9oXvWDBKu+P3C20HpJoHs7CJW/vhvgKHczjSVdGuwNQDzAFGatiKFSt0Dh/mCLmdwuyWzAEWbMDrsQvQ2PBbgt9EZ5psoIvL227pOUeoy+4P1jvCxDh8EChlGyhnwIOTsL2wLIIVlIXGAlaYaIZJyKagoYNGAQozOOcRoHFsIp/WjbLhpgOem4GTir24mRNOKCYbpm7NYcF6Hpj4jM8CEybLly+vrw8nq1CvuubWewgIgvCjhvfNuUA09o8fOlPQKETBGExUB3xGaMihkW16bhUaimic+gZH+NExdU6yOxPcXJPKzSIT+EF2fo/QGEc1JTT4A2ngB7OAz43m5mDuKDoH7UVt8XrsKnmQkIW/bwTnIBR/wOLa2F+woFogiptgQyVVTIRHIw3zMrDhO4CAzyQshol9oSGKxptvp42pyfdu7Yf7Co15QL4VkH3hdyS+tcSSM8uy4iyhgevsDmwTFZ+dbumRo/hO7vihw49Az549E7w42I3s2rVLJ6Tbozfo0UQP9IULF/SHFP/HlwQlaAOBhhO+5HYFEVSMQwUgNCDtXgM0eAItjOBbNjw+pns0AWvx+FZ5MdVbYMNnhYnCqNaEXkx71AjFLLBo4M0Eh8kBeufRQLVXkEbv2Pfff68ltd1meuTITQiIMPKG84OzJwxroqEH2sQoi9trD2G0C730aCCgxCtgRBEB9fDhw3Vtp2CsjxZsbhWZSOl8R6tMQ4chOmx8iyQEC34/8B22gyWcBzEChuMC5dJNwfcJwS0yDfxN8k/saGJS7Yf7ChyKjGCzS1CjHYhjEW1CjCCZWBfS7vSfNGmSdtghM8CG39zNmzfrKAwyE0Jp5Gjt2rWuFj27pYMjN2ENBXwhULULaQnLli3Txg9GjqBPnz7a+EajxORQKoIGVDmyD0iMeqCxE2oNUwSPSA1DVTJ/9flNvx6knWHkCkPtzrQSfGYoG22ycepGyWYcF0iVsYeksQ+MLJoK/p1u1AOGkrk40Zn8zNwqe+1muptbaWFudnS4tSYVUleQpoKg0l7KAOdWVIXCe2qiypp9XsJ6eOgsQYcN0s4QkDlTP0zCCB/SY1EtDsErOjvwe4LvsbMyqQkYaR43bpxnTSj02qJiFNLtTMKacThnuJ0pgM8L32WU5cd7iu+YyXMSFnhHqWPTn0tS7Yf7Cq1Of/zG4tznDLjsFGacs9yeWpHZhXWQnHwHBm7WLZ1W5yb8KOOHH+lMyONHuszTTz/taZggOLJ7bQPhG+umlNj3hRde0J6dKVOm6I/z5MmTdWQHP2r4EpiGxg3KCSOlxF5rAz2LvsO6oVKyGccByoeibLfde4oTB34UTM/PudEaRrgdizCGYtlrN9Pd3EoL8w1QgsmtNalwvhg0aJCmtTnhc8JtpoIjzCdCcIKgFakqGLXH6DLmdZqGgA/nPuwLaT44tu00cKSmBVr+3Aml9vHaMNKGNY0AHQA4Z/z111+aDmSy4xCdhsiuqFy5cpxzkqnRSgRDCJDxO4KOFPSgYz4uljPAEgOml9nAY5vOaEjK/XBfiYPOrYRC+zBQdiou0vYweuTWe5jc4JyIEcHEBkesVucS3xK2zgpUgCocJip4ubUfVJn6559/PH9fbzMB1dRQxhhQghUlcu1qUI0bN7ZClVslm1G+OCFbKHKz7LWbVdBQrQ7lXVENEhv+NllRacOGDdbSpUu9rps1a5ZWbkIlJZTCvl4FysTAe+VGyVxUhbLPEU6oCmWy2h/eq08//dRzeevWrXpcOEvomoJqfvh8wHmco4qc6TL8eF32vpxmzpypt5nkr3Kr6QquderU0Up4qPaHypYoaxxI5ayEWLZsmdWwYUOtMJkS9sN9Jc71KhQHq1pxcpTJpy2a3PfHkSMX+faSBqPXFI/pxn6w6KHdWxrfAoj2vk0smIoqLvZwLHpC7KouGAbH3DATkKs7cuRI7bmMr1iHzdQipkiTQc6xb64xhr4xMmbKjBkzJKVy6z20q+MgNcCZ7talSxfj6W7xpYVhjpiptDCMqmAi+oMPPqiX0XOP14IRRszPQUoVUnCxkKkp+Iz8LfhpmhtFJuy5YfbICmDkA2m4SOlEhVLTc6gwyuFvJBapqiYhNbtGjRpxrsd1uC3URi5xLOTPn99TfAGjRM6CKsGAUV/MQUTlU8z78J3kb6oymVv74b4Sx1Rl28Sk/CKrJr4UZqTmuumll17SirKhgsGRi66X1mSnSAQ7fcrUfpxfeDe+/AiMsB80OJDehrlHVatWlaVLlyZ+2NTHDz/84FmRHX/HByVgTcEJy1+eOxpdSA2j5PceupHu5kZaGOYiojPAhqALpbTteZBINcH+TAZHzz33nKZ6II0pmFUSkYqFOYqYx+mvyISzoEogaVs49nwbUjg+gjGnExXksESDb+ECBHym8/gRVOIciwaN0yeffBISy0D4QvCIAAnpdEi3bdOmjaZII0iygyXT88SQfusGt/bDfSWOqeVZblbXrl113hFScdExYPJ8uyQR1YrxexZKWJDBJcj/dKOH3639uA2jUygqgFEolCdHNTkcughmMIqDuQym9nO9fHoERpjfYqrSy+OPP649v5jDYhdJwI80JikjEAy1zykpuP0eulEFzY21hzDqi8ez10HDKCzmf/znP//Ry6jAh5Eqk50Bbq1J5VaRCewHc6fs6lOAzw3HgnMk00Qp4NGjR8vs2bN1LRbMq8McI8y3w/kK84Mwb9XkyCW+V1j6wR4ZwzkPvdAImkyXzkcj7vXXX/d8p1DwBMUfTI7yOeGYRlBpzz/CaDCCPlTNIwomf78f+O46y+SbgE7jL774wmtk25TwJKxW7FYBCI4cucStRm5SNKYRpKAMOX5o/A3fmmjwOAMW/GCjSAJ6hdF4NDGJ0YaeUqRb+CsYgGFqNB79VctLrPHjx2sFPDQGMMqHSmt2yWZM7qbk9R66ke7mVloYStZiNBbBESarowGPURVnA9I3eAmVNancKjLhr8QvgnKT8BmhGh2KFuB1oSIegmOk2CFDAJWnTAZGgOMYBQvQWbRo0SJPIw5lr30Xxg4UAj506qFinZ2CjUAMrxPFO/B9Ng2ZFAjQsaECJYJbu7EaDG4sP+Hmfrgvs78f6GAx+fsBOK6DlcYW62IRnyRjcgIU3Zr69u1rRUREWI0aNbI6duwY0pP858+fb6VLl85avHix1/Xnzp2z7r33XuuOO+6w/vjjD6P7xOTtjz76yBowYIDVs2dP67333rMuXrxodB8pnVvvYdGiRa0hQ4bEuX7o0KF6mylTpkzRoggowoDXhQ1/58mTR2/D8WlvidWjRw+revXq1rp166z+/ftrsQQUtbDNnj3bqlKlihVKkqLIxM349ttvb3r/mKyN59+5c2ctQHPo0CFrz5491ubNm/W8FOpKlixpTZgwIc7148eP19tMuHbtmr5fr732mv5OoagPJsCj0M8TTzxhzZgxwzpw4IBl0vnz5/U7i+MO+/LdQm0/3Ffo/H4AfjMeffRR68KFC9atqHHjxgEVXWFwRAHLnj170CtQDR8+/LqbSWhYo7KRXR0PJ86aNWtq5TPTgRGFFreqoN2ospGJCkd//vmndd999+njoLG4YMECr9tRIe+ll16yghHIRkVFWVOnTrXOnj2r1+F7ZaKhj4bvmDFjPJd37typ1eO6du2qje18+fJZL7/8spVU8D7fbAUlnIfwnO+//37tuMFnjnNR9+7drXnz5mkFUhPOnDmT4M2ktGnT+v1O4Tp0uplgB0MFChSw2rVrZ73//vvW/v37rWBCVTxUtfzss8/03DB9+nRr5MiR1u23364dD6G2H+4rdH4/7OqWOO5Rta1s2bJWpUqVvDaTzp8/r21AdNwFo1qxE77H/irD/vXXX0YDWQZHFDD0aposMRzfF925oSQrApgsWbIY/6IDehjx2GiYoAGJXh2UcQ4G9AZjVCp//vye3kv0pC5atCgo+0uJgl322tkbhR9OX7iuQYMGVig6ffq0dfXq1TjX//33314jSSbg+MZoAL67qVKl8gQKGH1+6qmnAn58BD9btmzxXEZwh++WDWW30QhKKoGWl8XyCatWrdLeZ5yXEDygQYDy8oGyg+3rbcEoOVysWDENlH2hoWWqFD8ef9++fZab3Fp+ws1lLriv0Pn9GDZs2HU3U7Zv367nXbSXcE7H6BvOExkzZrQiIyMt03yXq7Ghgw2dR6ZwzhEFDNWsMFcBE4VNljN28lc97uzZs1qZLxhzGFARDOU7kfeO6lCYtIsyzqZhUduh/9feuQBZOb9x/KfCmuJfaYhdNQwxlJLpMoyURNNNK7ORKJEt1Uw3DIYxKpHcdqaZTOWWJNNloimlmlRoSiUlSjW6oGQsuYQa+5/Pw3vm7NlT2j2/857znv1+Zo7OxezvXN7b8zzf5/s89pgbPny4Gzt2bKx5Eb0wDjq++xdykbD6gMJwQfv444+tpy2w14bXX3/delvoeevZs6c18wZulD441tDedOjVMU7hd6JRNt5KmX144MCBKf/90tJS66WKb/SnTzCgVatWbu/evS6qYKKBHTXmGR06dHCLFi2yQdjBoGofwyPDBgdDeo1wTwzsw+k5ot8IZ0MfFBcXu7AJY/xEmOtorei4aB6rHzIdjBgxwgyyGLbOuYTPQ68qjq6+jLKgpKQkZvIwdepUV6dOndhrXDetXLnSqymSKkciZejtYIBaGOXbRJDNNG7c2NvfKywsLHcjM9u6desKz/uCLPa8efMqZJU3b95sPSAiu3Tc6Za7ZbssLFXq169vVb7E7Z3hiz5kJY0aNSr74IMP7D5VL/7m0qVLy32fyICjVjnis/C5yPi2b9/ePleTJk1suyC7vXv37rIog6STCh/bBzfuR71y3qxZs7IVK1bY/Y4dO5aNGjXK7iM1ys/Pj9w6WisaculEGEwd9K1S5fHN//73v9gxnftbt261+2vWrLHh6D4VStz4fqj0BY+5cSyk8saavlDlSKRMv379LBNCpoCsbTrnlyTy888/2y1dWXTmYaQTnKiSuT9RGaBSIP4bhlImcxdke2SQaZRcejIxeyiXZlJ16dLFXN2YZYPLGpbo8e5+2Gwz6DFKUCnCOQ7HOubxUAV58803bXZJusEVb8+ePRXcu3w6hAaVwzBcDMMEBz4qpPxmbJNk15nvxXd5vMHp2bqO1oqWyxvOwSgqUL0EsyCZ90XFmfOKr7leJ598csza+6yzzrLjBc6WXEv5rNIH8zR5/zggo65JK97CLFFtoX9g1apVaV0jscnvhRdeKHvwwQetwfa2224riypUjoIMaXxWuaSkJO1Vt1whDB13WC5oVCpxIwsggz527NjYYyosbCdRpaioyL4r4HPs2rXLjBjoE/PhbJkpk4l0GjJQOSRTOmzYsLI5c+ZY43G6+f7778u6du16zN4jn9CXkOwzlZaWpqVnIVPQb8fvR/UyF9bRWtl/rMVtNKjkAC6XPHfrrbd6W6dTp05lM2bMsPtUslHaYGKBmoj7vqHv8lik4k6XiIIjkTKUTjdt2pTWNeJLqNyQS7Vp06bsoYceijleRQkc9rDYxBmPsj2uUzQwzpw50y6Gg/siO2yvw5K7ZbssLFUwNcE8gKQA31/btm1NPsoxJFmTbRRMJtItq8MJatGiRZYM4mIDdzfky2zjjB4gkPFNnz59LDDH3IJj0ZIlS2y/4ndasGBBKA3WuPDxWaMGhhls38lc/dgu2f6xz4/KOlrLz1oBa9euNcMnpHsjRowod/MJBgmslQiW9sjffLFu3bqy5cuX2332Y4IikkAtW7Ys27hxY5lv+L2S/V2cBhs0aOBtHQVHImU4WbJDkNUWlbejJMuCK1OgNyZYwmpWZI+OOywXtFycPVSd5noRqFBF55aOoAVIBi1cuNC+v1atWlkAgXunT9jeuYgCLnQCpzcSDPHbfSoECQv2Tfqm4pMYVPwI/ugliBrdu3dPOrcpAOVDz549I7OO1vKzFowbN862dxw7seanfzC4dejQocx3IiZZEEHfEft0VBk8eLApLIJkJckj5muSSDzeb1lZFByJlKlbt66doLn4ZIcksx1/EyeWLaWS5DN7LvwRltwt22VhIjmcoBnSSjUsCMa5P2DAAO9DGBloSuPx+PHjTTaKrNm31I1tL0h2Uc1keC0gg/Q1jyU+aZGYyOB8QmCUKGWNAnxf8VKmRBgxgEwyKutoLT9rAWoGBg6HQY8ePcratWtXbjbjvn37LCjzGfB16NDBJLCJUI3zHfDFJ+RJ4DB/klEAzZs3NxMrn8iQQaQMltPpBnOCp556yi1btswaDRMbG3ft2uWiRqJxBc3j3ET22V5jNEJDKIYINOlu2LDBrFcDfvnlF2tMTZUGDRqYJSkmI1iV1qxZs9zrWL7GW5hGkW3bttnv8sUXX9hjmneHDh3q14Y1ZEaOHGm24VjxXn311fbc6tWrzaIaq2os+6sKx7pPPvnEGqux28bmmu07Pz/fmpMnTZpk//rk4osvtt+JMQbNmzc3u3DuY9frywgiOIZjNLFu3Trb9nOBAwcOHPdYUKtWLXfw4MHIrKO1/KwFGBcEx4d0g6EEduDst5y3AIOEpk2bujfeeMPbOitWrKhg2AJ//PGHW7VqlUsHjGe4+eab7bjKb/Tuu+/a5/KJgiPhxa0u3dxzzz128XHHHXfYyTlMR7x00aRJk//8HMG8BVGRJ554wrVv3z4WHG3evNndfffdNvuKC26c6s4991wvzm5hu6CFOXsoV2dShf25Zs+ebdtj/DbD3LeioqKUgiOcpgiGGjZsaEEQ7lmsk07XPeaT4AIJJBs6d+7sZsyY4U455RSbP+QzuRG4UIUx0ysMCFq3bNniLrzwwqSvc6zwEWCGtY7WOsfrTCCSGWEklAmISOItXbo0NgeN8+L111/v5e9/9tlnsftbt251+/fvjz3GkfS9996z79c3O3fudH369LH1Fi9ebNeFBIEcs8aNG+clSWl4rUOJag9OIpRT428+oIEwkHbkAkhH0DO/+uqrx72JzPcBgeRu0ZtJFSZIzZLJc7Zs2WKyt1SYPHlyrOcnUyANXL9+ve0HvqBPNRdneg0dOtQMM5K5atFbx2s4D0ZlHa3lZ61AEou5D8e6bt26pWV+YlgmEyf9K4lNJovlxnFv2rRpZb5Bvt67d+9yUr4PP/zQ5HUtWrTwts5J/MdPmCWqK2T5mPr89ttvWyYwkWRzTSoL0ouFCxda5iMXoLxO5oO5AKJq5OXlua+++iomGWCaOeX2Rx55xB5//fXXVpFA8uaLY8ndqPDxPJl1cWyouJFxTMzU8jsi32KuThTp2LGjO/PMM63ywXYJhw8ftqo62wbZ26hVZUePHl1B5stnoiL72GOPpbwGGXnkMFQRgf2WLDByxEBCShWJrHSUQKrVsmVLO0YgF0WiCGTvqRpwPiSjj1Q3CutoLT9rAWtMnTrVKsDJZkK+8sorKa9BFYW/T5UqGSUlJSbPnTdvXkrr7N69m+KKu+CCC9zatWvLzU3iPMi1TeJ50gfTp083BVEinOeHDx/upk2b5mchb2GWqLbcd999lqnASpEMKvNlxowZU1ZQUGDuWj7A3eqWW27x3tycDW51omrkuu11LhLGTKpMQDMwM9dwF6SKyI37OE9SPcqV4xPziHyZP+TyTC/m5LCtx2fVuc9zmFpEbR2t5Qe2Z99W+Jk2mcgUnPO//PJLcz9NB6ociZRp1KiRZUzRwZ9xxhmWaSEzTIQ/c+ZMq/ikyhVXXGFaUzZXGgwTdaWsGSVUOUqdwYMH21TzoA/otddec99++22sekOPBNpumr1FdkBDP1UH+nDatm0b6zmiSoDBBT1i8RnQKEHVi20uXt9/++23W99R1OD4RFY9PhsMy5cvd7179/bSpN64cWM7R7Rr184auumtopJEFS7oIbz22msj3XdZWlrqduzYYeetiy66yNWrVy/S62it1Ld5+mTSaT5D5fp4fVR8RhQVVIF9sXPnTjvXBiY7l156qfUApaMvkvdNBY7zPWzfvt2qV8OGDXMFBQWmYvKBgiORMsiJkD4QJLFxzp0717Vu3doabdkJf/3115TXiHcGSwbyC1G9+OGHH8yxBhkO2yAHy8LCwtjrXGRxAU6Tpsiei+4TAbmJDzmuqBxcEPLdIx8l0RUv++H34Fg+aNAgkxylipIborqBbA6jAv5NlzMtAcmzzz5rhibJ4PoMyawvh9/FixdbIqtFixYxJz4cNdm3SXZ06tTJ+YSgi7/PsQGjGGTaBEfz588386WNGzd6WUfBkUiZyy+/3FyFyPLhhMJOMnHiRNO2Tpgwwe3bty/Tb1HkMOoDEtkAF/YE6slGDWDpHQUIULgkGDBggF18xLsmsh9RtQ9cBlNFyQ1R3QhDAUMFBXttkgpB/2N81YXENT1JXJ/5+kw33nijjVqJB3fXJUuWeFf1UH2bNWuWHRtOP/10C8IIjqiI0T926NAhL+soOBJVhswDO/iLL75oF6ZcANB43L17d9v5jxw54p577jmL9H2B/CLZxQdVKyFEdhLmTKpMgL11cXGxBRAYM8RXXLgftTlsGCNcddVV/mxxj4OSG6K6EIYCJmyTiby8PJPAIkWMB7kbiXPmHfmEihuyQQKi+OCIf5HocjzxQlo6mUS1ILFpt6ioqGz//v3W4DhnzpyyTZs2eVsLK1umIQfWkfEWkr6nwwsh/IJ9bS7aNgdgPoOZAFa9uUa6xjMIIdJDmCYTBQUFNjYjkVmzZqXF+IGRGiUlJTGDi+DzYMvOeABfaAisqDKJRUeMF8aPH29RPKVPn9x11102CXnBggU5MwRWiOrCp59+6saMGRN7zMDXNm3auClTpthj7NjJmvoY2JspMwaG255oT1UUPs8DDzyQ1vEMQlRX1q9fHzMvuOyyy0ya5hOuv7geS6fJxBP/2v0PHDjQ3XvvvVYdp9oM9ATRSzhy5EjnmyeffNJGdtDnfvToUVMucf+jjz6yircvJKsT3hzX4kucvqldu7YdUNLp8iKEyJ2ZVGFCIFG/fn3T2ecCQ4YMsVkoBLTMFEGO880337iXXnrJegtw4RNCVA5aAkii0BOEOyP89NNP1gNEwijRHTKbqVmzpvvuu+/sPdOfiAkEfZeA6+j9999vrRbpSGTTt8VxiOtNTGKQEeJSxznEFwqOREo7B8FRsEMTHOEcwsBW37Rq1co9//zzdlElhIgWuW7bTCWFfioanjlBJ/bq0HsZJcIYzyBEdQMbfCos7FvBQHuqHgyLZv9i34ryOJJf/k1ucS0YdSSrE1WGuLp///6xJmoa77B5pcqTaB2ZKpRoyc5SUk128cEJXAiRnXTp0sWqKoFtM02111xzTex1kirpmIkRFsiJsbQNmp8TDRmiBkFqoADg2BoErSSnsOAWQlQebLwxrQoCo2AmEJXZG264wUWNkxKObekMigjG/utYyutI7Xyg4EhUGbId8fTt2zdta2ERDkGmOT5A00wUIbIb5FnYNlMdCmyb413IXn755UheHAQgKeEzkCzKBQiMmFNHBQkpM71HWABT7QvkQEKIyoHLbjIHSJ5LdOCNAk2aNPnPgMWXGmDevHnHdUPFmtzndyhZnYgEx2u0Q5KDZaUQIrvJVdvmhg0bulWrVlWws40qSJiTjWdAEslrPsczCFFduOmmm6zHCPkcfTlALx89fJglHC8AyDZq1KhRYRbaiSTRfbJt2zZTJJC04TvEJMKXGZiCIxFJ0LZygJk6daoZNahyJITIpKyO5mRfgxWzjd27d9txluDPZ9OzENWJvXv3uh49erjPP/88Zk7Dc02bNnXvvPOOKygocFHuOQoLjB9wN0WBwABajr98hz5RcCQixcqVK920adPcnDlzLPOCVKdXr15m2CCEEJmgsLDQLV++3AbAYs2bKJ3x0XcZBnwGqvBr1qyp0MdJ1Q+r3smTJ5frFxNCnDhcclONZSgr0H8UtA1EiZr/utWFGRxxDKLvnIHhLVq0sB7WdB2L1HMksh6yE0ygJyg6dOiQKyoqcn/++ac1dtPMKIQQmYQ+HBI1UQeZDHNLkhncIJ8pLi425z0FR0JUPenQqVMnuwUX/CRUopZ0KAu5rjJhwgQLhpAwoxpCophOVDkSWQ1ad6pFXbt2NU1p586dLWNBZhaPewVHQgjhB/T6OGrFu2nFQ7Yb44w9e/aE/t6EiCpI6ZhlNGLEiKSvI8dlrliUeo4yIeM77bTTrMqW2LOajiq9Kkciq1m0aJE1BWMfmyvNzkKI3OTgwYPWJAzYekdpqCMcOHAgqZtWQK1atewzCiFOHBK5VD2OBQmHiRMnhvqeosadd94Z6lgEBUciq1m9erXJ6a688krLZjKtnQnTQgiRLfz2229u2LBhNtwxsJMlu8kJHX08c52iQH5+vtuyZYsNpEwG86jOOeec0N+XEFFGSYfUobUiTGqEupoQlaRt27ZuypQp1viH3v2tt94yIwYuQN5///3YRGYhhMgUI0eOtHEDWMpi1ctt/vz59tyoUaNclIb1PvroozbQO5HDhw+bQ1S3bt0y8t6EiCpB0uFYKOmQfajnSEQOZCtUk6ZPn24XITQ2YoMphBCZoEGDBm727Nmuffv25Z6njwADmahkhclwt2zZ0qpeNJAjDQx6jSZNmmQjEzZs2ODOPvvsTL9VISIDVeUVK1a4devWuby8vApJBwYs05OUq6MAooiCIxFZOFGTqWUyvYIjIUSmQDbHHKBEIwPmmXDhg+wuSjON6PFcvHhxzJEKrT/zRAiQzj///Ey/RSEihZIO0UPBkRBCCJECHTt2tBlH9BwFmWEywkyH//HHH22uSdQoLS11O3bssAAJM5x69epl+i0JEVmUdIgWCo6EEEKIFNi8ebONGWD+WvPmzWMOVQRKXAwxx0QIIZR0iAYKjoQQQogU+f33392MGTNMKgNI7JjNxmwOIYQQ0UHBkRBCCFFFjhw54i655BK3YMGCYw5PFUIIER1k5S2EEEJUEeaXJLO+FkIIEU0UHAkhhBApMGTIEPf000+7o0ePZvqtCCGESBHJ6oQQQogUKCwsdMuWLXN16tRxzZo1c7Vr1y73+ty5czP23oQQQlSOWpX8/4UQQggRR926dV2vXr0y/TaEEEJ4QMGREEIIUQX+/vtv98wzz7jt27e7v/76y1133XXu8ccfl0OdEEJEGPUcCSGEEFVg3Lhx7uGHHzY5XX5+vispKbH+IyGEENFFPUdCCCFEFWCI4+jRo11xcbE9Xrp0qevatas7fPiwq1FDuUchhIgiCo6EEEKIKnDqqafatPvzzjsv9lxeXp49V1BQkNH3JoQQomootSWEEEJUAay7CYYS5x4xGFYIIUQ0kSGDEEIIUQUQXvTv398qSAEMhB00aFA5O29ZeQshRHRQcCSEEEJUgX79+lV4rm/fvhl5L0IIIfygniMhhBBCCCGEUM+REEIIIYQQQvyDgiMhhBBCCCGEUHAkhBBCCCGEEP+g4EgIIYQQQgghFBwJIYQQQgghxD8oOBJCCCGEEEIIBUdCCCGEEEII8Q8KjoQQQgghhBBOOPd/hmx2/YkkxkUAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# Reload original datasets for comparison\n",
    "original_train_df = pd.read_csv(\"participants_training_dataset.csv\")\n",
    "\n",
    "# Visualizing missing values before preprocessing\n",
    "plt.figure(figsize=(10, 5))\n",
    "sns.heatmap(original_train_df.isnull(), cbar=False, cmap=\"viridis\")\n",
    "plt.title(\"Missing Values Before Preprocessing\")\n",
    "plt.show()\n",
    "\n",
    "# Visualizing categorical feature encoding\n",
    "plt.figure(figsize=(8, 5))\n",
    "sns.countplot(x=\"Edu_Level\", data=original_train_df, order=original_train_df[\"Edu_Level\"].value_counts().index)\n",
    "plt.title(\"Education Level Before Encoding\")\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(8, 5))\n",
    "sns.countplot(x=\"Edu_Level\", data=train_df)\n",
    "plt.title(\"Education Level After Encoding\")\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bb0569f1-d6b1-4e14-9c4a-5fd4051451e5",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}