[ec3019]: / ML Term project.ipynb

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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "73d9aedc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1309, 12288)\n",
      "(1309, 12288)\n",
      "(2618, 12288)\n",
      "(2618,)\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "from PIL import Image\n",
    "import numpy as np\n",
    "\n",
    "# Function to load images\n",
    "def load_images(folder_path):\n",
    "    images = []\n",
    "    for filename in os.listdir(folder_path):\n",
    "        if filename.endswith(\".png\"):\n",
    "            img_path = os.path.join(folder_path, filename)\n",
    "            img = Image.open(img_path)\n",
    "            img = img.resize((64, 64))\n",
    "            img_array = np.array(img)\n",
    "            img_array = img_array / 255.0\n",
    "            img_array_flat = img_array.flatten()\n",
    "            images.append(img_array_flat)\n",
    "    return np.array(images)\n",
    "\n",
    "\n",
    "# loading Images\n",
    "X_bleeding = load_images(\"C:/Users/Sharath Balaji T/Desktop/DatsetForUse/Images_Bleeding\")\n",
    "X_non_bleeding = load_images(\"C:/Users/Sharath Balaji T/Desktop/DatsetForUse/Images_NonBleeding\")\n",
    "#Labelling Images\n",
    "y_bleeding = np.ones(len(X_bleeding))\n",
    "y_non_bleeding = np.zeros(len(X_non_bleeding))\n",
    "#Concatenating features of both bleeding and non-bleeding as X\n",
    "X = np.concatenate((X_bleeding, X_non_bleeding), axis=0)\n",
    "#Concatenating labels of both bleeding and non-bleeding as y\n",
    "y = np.concatenate((y_bleeding, y_non_bleeding), axis=0)\n",
    "\n",
    "print(X_bleeding.shape)\n",
    "print(X_non_bleeding.shape)\n",
    "print(X.shape)\n",
    "print(y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3c1f38cd",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Splitting Data into test(30%) and train(70%) data sets\n",
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1d83b965",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: RandomForestClassifier\n",
      "Accuracy: 0.97583\n",
      "Precision: 0.96517\n",
      "Recall: 0.98728\n",
      "F1 Score: 0.97610\n",
      "Confusion Matrix:\n",
      "[[379  14]\n",
      " [  5 388]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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qUqWKHnrooVLnBf5VtWrVdOjQoWJJi6NOnjypNm3a6JtvvtEzzzyjNWvWKDU11T6UWfSzdCTOi/094qii1/S2224r9ppOnDhRhmEUW5KJO1XhbNxtalHu7u7q2LGjPv30Ux08ePCCS2kU/cFLT08v1va3335TaGhoucVW9MctJyfHdCPFufPqJKlNmzZq06aNCgoKtHHjRk2bNk0jRoxQeHi4+vXrV2L/ISEhSk9PL7b/t99+k6RyvZa/GjhwoJ544gnNmjVLzz77bKntFi5cKE9PT3388cemP/SlrYl2PmW5czA9PV3Dhg3T1VdfrR07dmj06NF6+eWXz3tO5cqV5ebm5rTXs2rVqvabFK677jpFRETorrvu0vjx4zV9+nRJZ1+X7Oxsvf/++4qJibGf+9cJ6WUVEhKijIyMYvvP3ffXz8W5yvtzcSEX87M49/1RdPzdd981vZYliYmJUXJysiTpxx9/1OLFi5WYmKjc3NwLztPq2rWrVqxYoaVLl5b6OT2f1atX67ffftOaNWvs1TZJ9nlsZY3zYn6POKroNZ02bVqpdwmHh4ebHlf0mnb456PyZmGPPfaYDMPQ4MGDS5yYm5eXp6VLl0qSOnToIEmmSd2SlJqaql27djm89IMjiobEvv/+e9P+olhK4u7urpYtW9qrLZs3by61bceOHe2//P/qrbfekp+fn9OW0bjyyiv1yCOPqGfPnhowYECp7Ww2mzw8POTu7m7fd/r0ac2bN69Y2/KqZhYUFOiOO+6QzWbTp59+qqSkJE2bNs1eySiNv7+/WrZsqffff98UR2FhoebPn6+qVasWu7ng77jzzjvVrl07vf766/YhxaI/dH9N9A3D0Ouvv37Rz9O+fXvt2LFD3333nWn/22+/bXocFxcnX1/fYp+LgwcP2ofnL5Xy+Fl07dpVHh4e+vnnn4tV94q2ktStW1f/+c9/1LhxY9Nnr7T3Z0JCgiIiIvToo4/q119/LbHP8733SvqZS9Krr7563usrLc4iZfk94qjrrrtOV1xxhXbu3Fnqa+rl5fW3nwcoCypvFhYXF6eZM2dq6NChio2N1QMPPKCGDRsqLy9PW7Zs0WuvvaZGjRqpZ8+eqlevnu677z5NmzZNbm5uio+P1759+/T4448rOjpaDz/8cLnF1a1bNwUHByshIUFPPfWUPDw8NGfOHKWlpZnazZo1S6tXr1b37t1VrVo1nTlzxn5HZ6dOnUrtf/z48fr444/Vvn17PfHEEwoODtaCBQv0ySefaNKkSQoKCiq3azlX0bIQ59O9e3dNnjxZ/fv313333acjR47ohRdeKHE5l8aNG2vhwoVatGiRatasKR8fnwvOUyvJ+PHj9dVXX2nFihWKiIjQqFGjlJKSooSEBDVr1kw1atQo9dykpCR17txZ7du31+jRo+Xl5aUZM2Zo+/bteuedd8q9ijBx4kS1bNlSTz/9tN544w117txZXl5euuOOO/Too4/qzJkzmjlz5t9a4HXEiBGaPXu2unfvrmeeeUbh4eFasGCBfvjhB1O7K664Qo8//rjGjh2re+65R3fccYeOHDmiJ598Uj4+Pho/fvzfvdwy+bs/i+rVq+upp57SuHHj9Msvv+jGG29U5cqV9fvvv+vbb7+Vv7+/nnzySX3//fd68MEHdfvtt6tOnTry8vLS6tWr9f333+v//u//7P2V9v4MCgrShx9+qB49eqhZs2amRXr37Nmj+fPn67vvvlPv3r1LjLN169aqXLmyhgwZovHjx8vT01MLFiwolmw7EufF/h5xVKVKlTRt2jQNGDBAf/zxh2677TaFhYXp0KFD+u6773To0CHNnDnzbz8PUCYVersEysXWrVuNAQMGGNWqVTO8vLwMf39/o1mzZsYTTzxhZGZm2tsVFBQYEydONOrWrWt4enoaoaGhxl133WWkpaWZ+mvbtq3RsGHDYs8zYMAAIyYmxrRPJdxtahiG8e233xqtW7c2/P39jSuvvNIYP3688cYbb5ju4lq/fr1xyy23GDExMYa3t7cREhJitG3b1vjoo4+KPcdf7xIzDMPYtm2b0bNnTyMoKMjw8vIymjZtarz55pumNkV39/33v/817S+6y+zc9uf6692m51PSHXmzZ8826tWrZ3h7exs1a9Y0kpKSjOTkZNP1G4Zh7Nu3z+jSpYsREBBgSLK/vqXF/tdjRXdMrlixwnBzcyv2Gh05csSoVq2a0aJFCyMnJ+e81/DVV18ZHTp0MPz9/Q1fX1+jVatWxtKlS01tLuZu09La3n777YaHh4fx008/GYZhGEuXLjWaNm1q+Pj4GFdeeaXxyCOPGJ9++mmxu2rL8t7cuXOn0blzZ8PHx8cIDg42EhISjA8//LDEO3XfeOMNo0mTJoaXl5cRFBRk9OrVy9ixY0ex5/D39y/23KXFFBMTY3Tv3t3++Hw/079y5GdxoffmBx98YLRv394IDAw0vL29jZiYGOO2224zVq1aZRiGYfz+++/GwIEDjauuusrw9/c3KlWqZDRp0sSYMmWKkZ+fb++ntPdnkYyMDGPMmDFGw4YNDT8/P8Pb29uoXbu2cf/99xvbtm2ztyvpbtN169YZcXFxhp+fn1GlShXj3nvvNTZv3mz6bDoS58X+HnH0btMiKSkpRvfu3Y3g4GDD09PTuPLKK43u3bubfp5F13no0KESfy5AebEZxl9WDQUAAIBLY84bAACAhZC8AQAAWAjJGwAAgIWQvAEAAFgIyRsAAICFkLwBAABYyGW3SG9hYaF+++03BQQE8BUmAABcgGEYOnHihKKiouTmdulrPmfOnCnxW4TKi5eXV7HvLHZ1l13y9ttvvyk6OrqiwwAAwFLS0tIu+D3a5e3MmTPyDQiR8k857TkiIiK0d+9eSyVwl13yFhAQIEnyuvp+2dz5PjrAlfy87KmKDgHAOU6cyFL92jH2v5+XUm5urpR/St4NBkjO+JtdkKuMnXOVm5tL8ubKioZKbe5esrkX/65JABUnMDCwokMAUIoKnWrk4eOUgoths+bU/8sueQMAABZjk+SM5NGiU9+tmXICAABcpqi8AQAA12ZzO7s5o18LsmbUAAAAlykqbwAAwLXZbE6a82bNSW9U3gAAACyEyhsAAHBtzHkzsWbUAAAAlykqbwAAwLUx582E5A0AALg4Jw2bWnQA0ppRAwAAXKaovAEAANfGsKkJlTcAAAALofIGAABcG0uFmFgzagAAgMsUlTcAAODamPNmQuUNAADAQqi8AQAA18acNxOSNwAA4NoYNjWxZsoJAABwmaLyBgAAXBvDpibWjBoAAOAyReUNAAC4NpvNSZU35rwBAADAyai8AQAA1+ZmO7s5o18LovIGAABgIVTeAACAa+NuUxOSNwAA4NpYpNfEmiknAADAZYrKGwAAcG0Mm5pYM2oAAIDLFJU3AADg2pjzZkLlDQAAwEKovAEAANfGnDcTa0YNAABwmaLyBgAAXBtz3kxI3gAAgGtj2NTEmlEDAABcpqi8AQAA18awqQmVNwAAgAuYOXOmmjRposDAQAUGBiouLk6ffvqp/fjAgQNls9lMW6tWrUx95OTkaPjw4QoNDZW/v79uuukmHTx4sMyxkLwBAAAX5/a/eW/luZUhDapataqee+45bdy4URs3blSHDh3Uq1cv7dixw97mxhtvVHp6un1btmyZqY8RI0ZoyZIlWrhwodauXauTJ0+qR48eKigoKNOrwbApAADABfTs2dP0+Nlnn9XMmTO1YcMGNWzYUJLk7e2tiIiIEs8/fvy4kpOTNW/ePHXq1EmSNH/+fEVHR2vVqlXq2rWrw7FQeQMAAK6taM6bMzZJWVlZpi0nJ+e84RQUFGjhwoXKzs5WXFycff+aNWsUFhamunXravDgwcrMzLQf27Rpk/Ly8tSlSxf7vqioKDVq1Ejr1q0r08tB8gYAAC5r0dHRCgoKsm9JSUklttu2bZsqVaokb29vDRkyREuWLFGDBg0kSfHx8VqwYIFWr16tF198UampqerQoYM9EczIyJCXl5cqV65s6jM8PFwZGRllipdhUwAA4NpsNiet83a28paWlqbAwED7bm9v7xKb16tXT1u3btWxY8f03nvvacCAAUpJSVGDBg3Ut29fe7tGjRqpefPmiomJ0SeffKLevXuXGoJhGLKV8a5XkjcAAODanLxIb9EdpBfi5eWl2rVrS5KaN2+u1NRUvfTSS3r11VeLtY2MjFRMTIz27NkjSYqIiFBubq6OHj1qqr5lZmaqdevWZQqbYVMAAICLYBhGqfPjjhw5orS0NEVGRkqSYmNj5enpqZUrV9rbpKena/v27WVO3qi8AQAA1+YCi/SOHTtW8fHxio6O1okTJ7Rw4UKtWbNGy5cv18mTJ5WYmKhbb71VkZGR2rdvn8aOHavQ0FDdcsstkqSgoCAlJCRo1KhRCgkJUXBwsEaPHq3GjRvb7z51FMkbAADABfz++++6++67lZ6erqCgIDVp0kTLly9X586ddfr0aW3btk1vvfWWjh07psjISLVv316LFi1SQECAvY8pU6bIw8NDffr00enTp9WxY0fNmTNH7u7uZYqF5A0AALg2F/hi+uTk5FKP+fr66rPPPrtgHz4+Ppo2bZqmTZvm8POWhDlvAAAAFkLlDQAAuDYXmPPmSqi8AQAAWAiVNwAA4NpcYM6bKyF5AwAAro1hUxNrppwAAACXKSpvAADApdlstjJ//6eDHZd/n5cAlTcAAAALofIGAABcGpU3MypvAAAAFkLlDQAAuDbbn5sz+rUgKm8AAAAWQuUNAAC4NOa8mZG8AQAAl0byZsawKQAAgIVQeQMAAC6NypsZlTcAAAALofIGAABcGpU3MypvAAAAFkLlDQAAuDYW6TWh8gYAAGAhVN4AAIBLY86bGZU3AAAAC6HyBgAAXJrNJidV3sq/y0uB5A0AALg0m5w0bGrR7I1hUwAAAAuh8gYAAFwaNyyYUXkDAACwECpvAADAtbFIrwmVNwAAAAuh8gYAAFybk+a8Gcx5AwAAgLNReQMAAC7NWXebOmftOOcjeQMAAC6N5M2MYVMAAAALofIGAABcG0uFmFB5AwAAsBAqbwAAwKUx582MyhsAAICFUHkDAAAujcqbGZU3AAAAC6HyBgAAXBqVNzOSNwAA4NJI3swYNgUAALAQKm8AAMC1sUivCZU3AAAAC6HyBgAAXBpz3syovAEAAFgIlTcAAODSqLyZUXkDAAC4gJkzZ6pJkyYKDAxUYGCg4uLi9Omnn9qPG4ahxMRERUVFydfXV+3atdOOHTtMfeTk5Gj48OEKDQ2Vv7+/brrpJh08eLDMsZC8AQAAl1ZUeXPG5qiqVavqueee08aNG7Vx40Z16NBBvXr1sidokyZN0uTJkzV9+nSlpqYqIiJCnTt31okTJ+x9jBgxQkuWLNHChQu1du1anTx5Uj169FBBQUGZXg+SNwAA4NpsTtwc1LNnT3Xr1k1169ZV3bp19eyzz6pSpUrasGGDDMPQ1KlTNW7cOPXu3VuNGjXS3LlzderUKb399tuSpOPHjys5OVkvvviiOnXqpGbNmmn+/Pnatm2bVq1aVaaXg+QNAABc1rKyskxbTk7OedsXFBRo4cKFys7OVlxcnPbu3auMjAx16dLF3sbb21tt27bVunXrJEmbNm1SXl6eqU1UVJQaNWpkb+MokjcAAODSnD1sGh0draCgIPuWlJRUYhzbtm1TpUqV5O3trSFDhmjJkiVq0KCBMjIyJEnh4eGm9uHh4fZjGRkZ8vLyUuXKlUtt4yjuNgUAAJe1tLQ0BQYG2h97e3uX2K5evXraunWrjh07pvfee08DBgxQSkqK/fi5c+gMw7jgvDpH2pyLyhsAAHBpzq68Fd1BWrSVlrx5eXmpdu3aat68uZKSktS0aVO99NJLioiIkKRiFbTMzEx7NS4iIkK5ubk6evRoqW0cRfIGAABwEQzDUE5OjmrUqKGIiAitXLnSfiw3N1cpKSlq3bq1JCk2Nlaenp6mNunp6dq+fbu9jaMYNoXLGXRznAbdEqfoyLPzAn7Y+7uef3OlVm3YLUk6+vXzJZ73xCsfa9rbZ8vX1a8M0dPDeqhVk+ry8vLQ5xt2a8yUD3To6MlLcxHAZWL9lp/0yoLP9d3uNP1+OEtznrtX3do2KbHtqOcWat6H6/T0v2/R/f3aX+JIYWU2OWmR3jLcbjp27FjFx8crOjpaJ06c0MKFC7VmzRotX75cNptNI0aM0IQJE1SnTh3VqVNHEyZMkJ+fn/r37y9JCgoKUkJCgkaNGqWQkBAFBwdr9OjRaty4sTp16lSmuCu88jZjxgzVqFFDPj4+io2N1VdffXXe9ikpKYqNjZWPj49q1qypWbNmXaJIcan8duiYnpy1TB0SXlKHhJf01aaftOC5gbqqxtmycr2eT5m2Yc8uUmFhoT5as02S5OfjqfenDJYhQ70eelXxQ16Rl6e73pn0L8uupg24qlNnctWwzpVKGnX7edstS/lem3fuV0Ro0CWKDChfv//+u+6++27Vq1dPHTt21DfffKPly5erc+fOkqRHH31UI0aM0NChQ9W8eXP9+uuvWrFihQICAux9TJkyRTfffLP69Omj6667Tn5+flq6dKnc3d3LFEuFVt4WLVqkESNGaMaMGbruuuv06quvKj4+Xjt37lS1atWKtd+7d6+6deumwYMHa/78+fr66681dOhQValSRbfeemsFXAGcYfnXu0yPn3ltuQbdEqfmDavph72/K/OPE6bj3do01Febf9b+3/6QJLVsUkPVIiqr7cApOnHq7O3ewyYs1r7lT+mG2NpK2bjn0lwIcBnoGNdAHeManLdNeuYxPfbif7Vo6lDdOerVSxQZ/klc4euxkpOTL9hXYmKiEhMTS23j4+OjadOmadq0aQ4/b0kqtPI2efJkJSQk6N5771X9+vU1depURUdHa+bMmSW2nzVrlqpVq6apU6eqfv36uvfeezVo0CC98MILlzhyXCpubjb17thUfj5eSt2+v9jxKpUrqUvr+pr/8bf2fd6e7mfnIeTl2/fl5OSpoKBQrZpUvxRhA/hTYWGhhj01T8Pu7KirakZWdDiwKhdYpNeVVFjylpubq02bNpkWq5OkLl26lLpY3fr164u179q1qzZu3Ki8vLwSz8nJySm2+B5cX4OaEUpb+Yx+/yJJkx+5VXePnavd+zKLtbsjvrlOnsrR0pTt9n2pOw7o1JlcJQ7tLl9vT/n5eOqpB3vI3d1NESGBxfoA4DzT5q2Su7ubBvdpW9GhAP8YFZa8HT58WAUFBedd0O5cGRkZJbbPz8/X4cOHSzwnKSnJtPBedHR0+VwAnGrPgUO6YeAUdb5/umZ/sF4zxvVVvephxdrd2aOF/rtis3Jy/1dlO3IsWwMfn68br2ugg6ue0f7Pnlagv4+2/nBQBYWFl/IygMvadz8c0GuLUzTtP3cx3xR/iyt8t6krqfC7Tcu6oF1J7UvaX+Sxxx7TyJEj7Y+zsrJI4CwgL79Ae389Ikna+sNBNbsqWkNub6OHn3/P3iauaQ3VjQlTwhPzi53/xbc/6po+zyk4yE/5BYXKOnlGP3z0hPan/3HJrgG43G3Y+rMOHz2pZreMt+8rKCjU+Gkf6LVFKdq0JLHiggMsrMKSt9DQULm7u593QbtzRURElNjew8NDISEhJZ7j7e1d6mJ7sA6bTfLyMr9d7+pxrbb8kKbtP6WXet4fx09JktpcU0tVKvvr07U7nRongP+5Pf5a3dCinmlf3xEzdXt8C93RvWUFRQUrcoUbFlxJhSVvXl5eio2N1cqVK3XLLbfY969cuVK9evUq8Zy4uDgtXbrUtG/FihVq3ry5PD09nRovLp3H779Rqzbs1sHfjynAz1u9O12t65vV0m2j3rC3CfDzVq/2TfT49KUl9tG/W3P9uD9Th49l69qGMUoacZNmLPpKPx04dKkuA7gsnDyVo70H//e5OvDbEW378aAqB/qpakSwgoP8Te09PdwVFhyg2jFlW1EewP9U6LDpyJEjdffdd6t58+aKi4vTa6+9pgMHDmjIkCGSzg55/vrrr3rrrbckSUOGDNH06dM1cuRIDR48WOvXr1dycrLeeeedirwMlLMqlQM06/F+Cg8JVFb2Ge34KV23jXpDa1L/t8RH705Xy2aT3lu5tcQ+6lSroieGdFPlQF8dSD+qF+eu1oxFX16iKwAuH9/9cEC3DPvfsgdPvLxEktS327Wa9vhdFRUW/mFstrObM/q1IptRNGmsgsyYMUOTJk1Senq6GjVqpClTpuiGG26QJA0cOFD79u3TmjVr7O1TUlL08MMPa8eOHYqKitKYMWPsyZ4jsrKyFBQUJO/Y4bK5M5wKuJLMlIkVHQKAc2RlZalqeGUdP37c9OXtl+q5g4KCVOPBd+Xm7Vfu/RfmnNLe6bdVyLX9HRV+w8LQoUM1dOjQEo/NmTOn2L62bdtq8+bNTo4KAAC4irOVN2fMeSv3Li+JCk/eAAAAzstJw6Ys0gsAAACno/IGAABcGkuFmFF5AwAAsBAqbwAAwKWxVIgZlTcAAAALofIGAABcmpubTW5u5V8mM5zQ56VA5Q0AAMBCqLwBAACXxpw3M5I3AADg0lgqxIxhUwAAAAuh8gYAAFwaw6ZmVN4AAAAshMobAABwacx5M6PyBgAAYCFU3gAAgEuj8mZG5Q0AAMBCqLwBAACXxt2mZiRvAADApdnkpGFTWTN7Y9gUAADAQqi8AQAAl8awqRmVNwAAAAuh8gYAAFwaS4WYUXkDAACwECpvAADApTHnzYzKGwAAgIVQeQMAAC6NOW9mVN4AAAAshMobAABwacx5MyN5AwAALo1hUzOGTQEAACyEyhsAAHBtTho2tej30lN5AwAAsBIqbwAAwKUx582MyhsAAICFUHkDAAAujaVCzKi8AQAAWAiVNwAA4NKY82ZG8gYAAFwaw6ZmDJsCAABYCMkbAABwaUXDps7YHJWUlKQWLVooICBAYWFhuvnmm7V7925Tm4EDBxbrv1WrVqY2OTk5Gj58uEJDQ+Xv76+bbrpJBw8eLNPrQfIGAABwASkpKRo2bJg2bNiglStXKj8/X126dFF2drap3Y033qj09HT7tmzZMtPxESNGaMmSJVq4cKHWrl2rkydPqkePHiooKHA4Fua8AQAAl+YKNywsX77c9PjNN99UWFiYNm3apBtuuMG+39vbWxERESX2cfz4cSUnJ2vevHnq1KmTJGn+/PmKjo7WqlWr1LVrV4diofIGAAAua1lZWaYtJyfnguccP35ckhQcHGzav2bNGoWFhalu3boaPHiwMjMz7cc2bdqkvLw8denSxb4vKipKjRo10rp16xyOl+QNAAC4tKK7TZ2xSVJ0dLSCgoLsW1JS0nnjMQxDI0eO1PXXX69GjRrZ98fHx2vBggVavXq1XnzxRaWmpqpDhw72ZDAjI0NeXl6qXLmyqb/w8HBlZGQ4/HowbAoAAC5raWlpCgwMtD/29vY+b/sHH3xQ33//vdauXWva37dvX/t/N2rUSM2bN1dMTIw++eQT9e7du9T+DMMo0xAuyRsAAHBpzp7zFhgYaErezmf48OH66KOP9OWXX6pq1arnbRsZGamYmBjt2bNHkhQREaHc3FwdPXrUVH3LzMxU69atHY6bYVMAAODSnD1s6gjDMPTggw/q/fff1+rVq1WjRo0LnnPkyBGlpaUpMjJSkhQbGytPT0+tXLnS3iY9PV3bt28vU/JG5Q0AAOAChg0bprffflsffvihAgIC7HPUgoKC5Ovrq5MnTyoxMVG33nqrIiMjtW/fPo0dO1ahoaG65ZZb7G0TEhI0atQohYSEKDg4WKNHj1bjxo3td586guQNAAC4NFdYKmTmzJmSpHbt2pn2v/nmmxo4cKDc3d21bds2vfXWWzp27JgiIyPVvn17LVq0SAEBAfb2U6ZMkYeHh/r06aPTp0+rY8eOmjNnjtzd3R2OheQNAADgAgzDOO9xX19fffbZZxfsx8fHR9OmTdO0adMuOhaSNwAA4NJsctIX05d/l5cENywAAABYCJU3AADg0txsNrk5ofTmjD4vBSpvAAAAFkLlDQAAuLSyrslWln6tiOQNAAC4NFdYKsSVMGwKAABgIVTeAACAS3Oznd2c0a8VUXkDAACwECpvAADAtdmcND+NyhsAAACcjcobAABwaSwVYkblDQAAwEKovAEAAJdm+/N/zujXikjeAACAS2OpEDOGTQEAACyEyhsAAHBpfD2WGZU3AAAAC6HyBgAAXBpLhZhReQMAALAQKm8AAMCludlscnNCmcwZfV4KVN4AAAAshMobAABwacx5MyN5AwAALo2lQswYNgUAALAQKm8AAMClMWxq5lDy9vLLLzvc4UMPPXTRwQAAAOD8HErepkyZ4lBnNpuN5A0AAJQrlgoxcyh527t3r7PjAAAAgAMu+oaF3Nxc7d69W/n5+eUZDwAAgInNiZsVlTl5O3XqlBISEuTn56eGDRvqwIEDks7OdXvuuefKPUAAAAD8T5mTt8cee0zfffed1qxZIx8fH/v+Tp06adGiReUaHAAAQNE6b87YrKjMS4V88MEHWrRokVq1amW66AYNGujnn38u1+AAAADcbGc3Z/RrRWWuvB06dEhhYWHF9mdnZ1s2gwUAALCKMidvLVq00CeffGJ/XJSwvf7664qLiyu/yAAAAMSw6bnKPGyalJSkG2+8UTt37lR+fr5eeukl7dixQ+vXr1dKSoozYgQAAMCfylx5a926tb7++mudOnVKtWrV0ooVKxQeHq7169crNjbWGTECAIDLXNFXZJXnZlUX9d2mjRs31ty5c8s7FgAAAFzARSVvBQUFWrJkiXbt2iWbzab69eurV69e8vDge+4BAED5ctb8tMtmztv27dvVq1cvZWRkqF69epKkH3/8UVWqVNFHH32kxo0bl3uQAAAAOKvMc97uvfdeNWzYUAcPHtTmzZu1efNmpaWlqUmTJrrvvvucESMAALiMFa3z5ozNispcefvuu++0ceNGVa5c2b6vcuXKevbZZ9WiRYtyDQ4AAIBhU7MyV97q1aun33//vdj+zMxM1a5du1yCAgAAQMkcqrxlZWXZ/3vChAl66KGHlJiYqFatWkmSNmzYoKeeekoTJ050TpQAAOCyZftzc0a/VuRQ8nbFFVeYSouGYahPnz72fYZhSJJ69uypgoICJ4QJAAAAycHk7YsvvnB2HAAAACVys9nk5oT5ac7o81JwKHlr27ats+MAAACAAy56Vd1Tp07pwIEDys3NNe1v0qTJ3w4KAACgiLO+zsqihbeyJ2+HDh3Sv/71L3366aclHmfOGwAAgPOUeamQESNG6OjRo9qwYYN8fX21fPlyzZ07V3Xq1NFHH33kjBgBAMBlrGidN2dsVlTm5G316tWaMmWKWrRoITc3N8XExOiuu+7SpEmTlJSU5IwYAQAAKlRSUpJatGihgIAAhYWF6eabb9bu3btNbQzDUGJioqKiouTr66t27dppx44dpjY5OTkaPny4QkND5e/vr5tuukkHDx4sUyxlTt6ys7MVFhYmSQoODtahQ4ckSY0bN9bmzZvL2h0AAMB5Fc15c8bmqJSUFA0bNkwbNmzQypUrlZ+fry5duig7O9veZtKkSZo8ebKmT5+u1NRURUREqHPnzjpx4oS9zYgRI7RkyRItXLhQa9eu1cmTJ9WjR48yTTsr85y3evXqaffu3apevbquvvpqvfrqq6pevbpmzZqlyMjIsnYHAABwXq6wVMjy5ctNj998802FhYVp06ZNuuGGG2QYhqZOnapx48apd+/ekqS5c+cqPDxcb7/9tu6//34dP35cycnJmjdvnjp16iRJmj9/vqKjo7Vq1Sp17drVsbgdjvpPI0aMUHp6uiRp/PjxWr58uapVq6aXX35ZEyZMKGt3AAAAFSorK8u05eTkXPCc48ePSzo7CilJe/fuVUZGhrp06WJv4+3trbZt22rdunWSpE2bNikvL8/UJioqSo0aNbK3cUSZK2933nmn/b+bNWumffv26YcfflC1atUUGhpa1u4AAADOy9lLhURHR5v2jx8/XomJiaWeZxiGRo4cqeuvv16NGjWSJGVkZEiSwsPDTW3Dw8O1f/9+exsvLy9Vrly5WJui8x1x0eu8FfHz89M111zzd7sBAACoEGlpaQoMDLQ/9vb2Pm/7Bx98UN9//73Wrl1b7Ni5d7AahnHBu1odafNXDiVvI0eOdLjDyZMnO9wWAADgQpy1rEdRn4GBgabk7XyGDx+ujz76SF9++aWqVq1q3x8RESHpbHXtr/cAZGZm2qtxERERys3N1dGjR03Vt8zMTLVu3drhuB1K3rZs2eJQZ1ZaL+XAimcc/kEBuDQqt3iwokMAcA6jIPfCjS4DhmFo+PDhWrJkidasWaMaNWqYjteoUUMRERFauXKlmjVrJknKzc1VSkqKJk6cKEmKjY2Vp6enVq5cqT59+kiS0tPTtX37dk2aNMnhWPhiegAA4NLcdBF3WDrYr6OGDRumt99+Wx9++KECAgLsc9SCgoLk6+srm82mESNGaMKECapTp47q1KmjCRMmyM/PT/3797e3TUhI0KhRoxQSEqLg4GCNHj1ajRs3tt996oi/PecNAADgn27mzJmSpHbt2pn2v/nmmxo4cKAk6dFHH9Xp06c1dOhQHT16VC1bttSKFSsUEBBgbz9lyhR5eHioT58+On36tDp27Kg5c+bI3d3d4VhshmEYf/uKLCQrK0tBQUH6/chxhk0BF8OwKeB6jIJc5Wx7XcePX/q/m0V/s+9fkCovv0rl3n/uqZN69c4WFXJtfweVNwAA4NJsNsnNiUuFWI0zhpABAADgJFTeAACAS3NzUuXNGX1eChdVeZs3b56uu+46RUVF2VcNnjp1qj788MNyDQ4AAABmZU7eZs6cqZEjR6pbt246duyYCgoKJElXXHGFpk6dWt7xAQCAy1zRIr3O2KyozMnbtGnT9Prrr2vcuHGm21qbN2+ubdu2lWtwAAAAMCvznLe9e/faVw7+K29vb2VnZ5dLUAAAAEWY82ZW5spbjRo1tHXr1mL7P/30UzVo0KA8YgIAAEApylx5e+SRRzRs2DCdOXNGhmHo22+/1TvvvKOkpCS98cYbzogRAABcxmw256zJZtEpb2VP3v71r38pPz9fjz76qE6dOqX+/fvryiuv1EsvvaR+/fo5I0YAAHAZc7PZ5OaETMsZfV4KF7XO2+DBgzV48GAdPnxYhYWFCgsLK++4AAAAUIK/tUhvaGhoecUBAABQIjc55yuhrPo1U2VO3mrUqHHedVF++eWXvxUQAAAASlfm5G3EiBGmx3l5edqyZYuWL1+uRx55pLziAgAAkMQNC+cqc/L273//u8T9r7zyijZu3Pi3AwIAAEDpym24Nz4+Xu+99155dQcAACBJcpPNfsdpuW6yZumt3JK3d999V8HBweXVHQAAAEpQ5mHTZs2amW5YMAxDGRkZOnTokGbMmFGuwQEAADDnzazMydvNN99seuzm5qYqVaqoXbt2uuqqq8orLgAAAEl8t+m5ypS85efnq3r16uratasiIiKcFRMAAABKUaY5bx4eHnrggQeUk5PjrHgAAABMbDY55YYFqw6blvmGhZYtW2rLli3OiAUAAAAXUOY5b0OHDtWoUaN08OBBxcbGyt/f33S8SZMm5RYcAAAANyyYOZy8DRo0SFOnTlXfvn0lSQ899JD9mM1mk2EYstlsKigoKP8oAQAAIKkMydvcuXP13HPPae/evc6MBwAAwIS7Tc0cTt4Mw5AkxcTEOC0YAAAAnF+Z5rzZrDo4DAAALMv25/+c0a8VlSl5q1u37gUTuD/++ONvBQQAAPBXDJualSl5e/LJJxUUFOSsWAAAAHABZUre+vXrp7CwMGfFAgAAUAyVNzOHF+llvhsAAEDFK/PdpgAAAJeSzWZzShHJqoUph5O3wsJCZ8YBAAAAB5T567EAAAAuJea8mZX5i+kBAABQcai8AQAAl8YX05uRvAEAAJfmZrPJzQmZljP6vBQYNgUAALAQKm8AAMClccOCGZU3AAAAC6HyBgAAXJuTblgQlTcAAAA4G5U3AADg0txkk5sTymTO6PNSoPIGAABgIVTeAACAS2ORXjOSNwAA4NJYKsSMYVMAAAALofIGAABcGl+PZUblDQAAwEJI3gAAgEsrumHBGVtZfPnll+rZs6eioqJks9n0wQcfmI4PHDhQNpvNtLVq1crUJicnR8OHD1doaKj8/f1100036eDBg2WKg+QNAADAAdnZ2WratKmmT59eapsbb7xR6enp9m3ZsmWm4yNGjNCSJUu0cOFCrV27VidPnlSPHj1UUFDgcBzMeQMAAC7NTU6a81bGRXrj4+MVHx9/3jbe3t6KiIgo8djx48eVnJysefPmqVOnTpKk+fPnKzo6WqtWrVLXrl0djBsAAOAylpWVZdpycnIuuq81a9YoLCxMdevW1eDBg5WZmWk/tmnTJuXl5alLly72fVFRUWrUqJHWrVvn8HOQvAEAAJfm7Dlv0dHRCgoKsm9JSUkXFWd8fLwWLFig1atX68UXX1Rqaqo6dOhgTwYzMjLk5eWlypUrm84LDw9XRkaGw8/DsCkAAHBpbnJOtamoz7S0NAUGBtr3e3t7X1R/ffv2tf93o0aN1Lx5c8XExOiTTz5R7969Sz3PMAzZyjAsTOUNAABc1gIDA03bxSZv54qMjFRMTIz27NkjSYqIiFBubq6OHj1qapeZmanw8HCH+yV5AwAALu3c5TfKc3OmI0eOKC0tTZGRkZKk2NhYeXp6auXKlfY26enp2r59u1q3bu1wvwybAgAAOODkyZP66aef7I/37t2rrVu3Kjg4WMHBwUpMTNStt96qyMhI7du3T2PHjlVoaKhuueUWSVJQUJASEhI0atQohYSEKDg4WKNHj1bjxo3td586guQNAAC4NNufmzP6LYuNGzeqffv29scjR46UJA0YMEAzZ87Utm3b9NZbb+nYsWOKjIxU+/bttWjRIgUEBNjPmTJlijw8PNSnTx+dPn1aHTt21Jw5c+Tu7u5wHCRvAAAADmjXrp0Mwyj1+GeffXbBPnx8fDRt2jRNmzbtouMgeQMAAC6NL6Y344YFAAAAC6HyBgAAXJ41a2TOQfIGAABc2l+/DaG8+7Uihk0BAAAshMobAABwac5aUNfZi/Q6C5U3AAAAC6HyBgAAXJqzv5jeaqwaNwAAwGWJyhsAAHBpzHkzo/IGAABgIVTeAACAS3OVL6Z3FVTeAAAALITKGwAAcGnMeTMjeQMAAC6NpULMrBo3AADAZYnKGwAAcGkMm5pReQMAALAQKm8AAMClsVSIGZU3AAAAC6HyBgAAXJrNdnZzRr9WROUNAADAQqi8AQAAl+Ymm9ycMEPNGX1eCiRvAADApTFsasawKQAAgIVQeQMAAC7N9uf/nNGvFVF5AwAAsBAqbwAAwKUx582MyhsAAICFUHkDAAAuzeakpUKY8wYAAACno/IGAABcGnPezEjeAACASyN5M2PYFAAAwEKovAEAAJfGIr1mVN4AAAAshMobAABwaW62s5sz+rUiKm8AAAAWQuUNAAC4NOa8mVF5AwAAsBAqbwAAwKWxzpsZyRsAAHBpNjlniNOiuRvDpgAAAFZC5Q0AALg0lgoxo/IGAABgIVTeAACAS2OpEDMqbwAAABZC5Q2W9Nxrn2ji65+a9oUFB2j3Z0kVFBHwzzfo1us16NY2io4MliT98EuGnk/+VKvW7ZQk+ft6afyDvdStbRMFB/nrQPofem3RGs1+b629j7CQAD310C1q1/IqVfLz1k/7MzX5zc/00eqtFXFJsAiWCjGr0Mrbl19+qZ49eyoqKko2m00ffPDBBc9JSUlRbGysfHx8VLNmTc2aNcv5gcIlXVUzUj98OsG+fb1wbEWHBPyj/ZZ5TE9O/1AdBjyvDgOe11cbf9SCF+7TVTUjJEnPjrxVHeMa6P4n3lLLPs9o5jtfaOLo2xV/Q2N7H7OeHKDaMWHqP/JVXXfHBC39YqtmTxikxnWrVtRlAZZToclbdna2mjZtqunTpzvUfu/everWrZvatGmjLVu2aOzYsXrooYf03nvvOTlSuCIPdzeFhwbat9DKARUdEvCPtvyr7Vq5bqd+PpCpnw9k6pmZS5V9KkfNG9WQJF3buIbe+eQbfb15j9LS/9DcJV9r+55f1axBNXsfLRrX0OuLUrR5537t//WIXpz9mY6fOK2mV0VX1GXBAmxO3MriQkUnwzCUmJioqKgo+fr6ql27dtqxY4epTU5OjoYPH67Q0FD5+/vrpptu0sGDB8sUR4Umb/Hx8XrmmWfUu3dvh9rPmjVL1apV09SpU1W/fn3de++9GjRokF544QUnRwpX9EvaIdWPH6umvcZr0NjZ2nfwcEWHBFw23Nxs6t05Vn6+XkrdtleStGHrL4q/obEiqwRJkq6PraNa1cK0ev0u+3kbvvtZt3SO1RWBfrLZzvbh5eWhtZv2VMh1wBrcZJObzQlbGdO3CxWdJk2apMmTJ2v69OlKTU1VRESEOnfurBMnTtjbjBgxQkuWLNHChQu1du1anTx5Uj169FBBQYHDcVhqztv69evVpUsX076uXbsqOTlZeXl58vT0LHZOTk6OcnJy7I+zsrKcHiecL7Zhdc188m7VqhamQ0dO6IXZy9U14UWtXzROwVdUqujwgH+sBrWi9NnsUfLx8lD26Rzd/cjr2r03Q5I05oX/6qVx/bVz2bPKyy9QYWGh/v3M29rw3S/28xMem63kpEHa+/kk5eUX6PSZXN39yOva9yv/+ILri4+PV3x8fInHDMPQ1KlTNW7cOHtRau7cuQoPD9fbb7+t+++/X8ePH1dycrLmzZunTp06SZLmz5+v6OhorVq1Sl27dnUoDkvdbZqRkaHw8HDTvvDwcOXn5+vw4ZI/+ElJSQoKCrJv0dGU5v8JOl/XUDd1aKaGta9Uu5ZXadHUByRJ73zyTQVHBvyz7dn/u264M0mdB72o2e+t1YzEu1Wvxtk5b/f3a6fmjavrjpGz1P7uiXp86hI9P6av2l5bz37+uAd66ooAP/Ua+rI63DNJryxYrTnPDVKDWlEVdUmwAGcPm2ZlZZm2vxZ9HLV3715lZGSYikze3t5q27at1q1bJ0natGmT8vLyTG2ioqLUqFEjextHWCp5kyTbObeGGIZR4v4ijz32mI4fP27f0tLSnB4jLj1/X281qB2ln9MOVXQowD9aXn6B9h48rK27DuipVz7S9j2/aki/dvLx9tTjQ3vqP1Pe1/KvtmvHT7/p9f9+qSUrN+vBuzpKkqpfGar7+rbV8Kfn68vUH7V9z6+a9Man2rLrgO69/YYKvjJczqKjo02FnqSksq9ckJFxtgJdUpGp6FhGRoa8vLxUuXLlUts4wlLDphEREcUuLjMzUx4eHgoJCSnxHG9vb3l7e1+K8FCBcnLz9OO+3xV3de2KDgW4rNhsNnl5ecjTw11enh4q/PMf1EUKCwvl9uc/rv18vP7cZ25TUGDIZtXvKcKlcTF3Fzjar6S0tDQFBgbad/+dvKGkIlNpBaaytPkrS1Xe4uLitHLlStO+FStWqHnz5iXOd8M/1+NT39fXm/Zo/6+HtXH7Pg0Yk6wT2WfUr0fLig4N+Md6fGhPxV1dS9GRwWpQK0r/eaCnrr+mjv776UadyD6jtZv26KmHbtZ119RRtagQ3dGjpfp2u1afrPlOkvTjvgz9fCBTUx67Q9c0iFH1K0M17M4Oat+ynpb92QaoCIGBgabtYpK3iIiz0wdKKjIVVeMiIiKUm5uro0ePltrGERVaeTt58qR++ukn++O9e/dq69atCg4OVrVq1fTYY4/p119/1VtvvSVJGjJkiKZPn66RI0dq8ODBWr9+vZKTk/XOO+9U1CWggvyaeUz3/udNHTmWrdDKldS8UXWtmD1K1f5cPBRA+asSHKBZT96j8NBAZZ08ox0//arbHpqhNd/+IElKGDdbTwzrpdeeHqDKgX5Ky/hDz8z82L5Ib35BofqMmKnxD/bSO5Pvl7+ft/amHdLQxHla+edCv0BJrPD1WDVq1FBERIRWrlypZs2aSZJyc3OVkpKiiRMnSpJiY2Pl6emplStXqk+fPpKk9PR0bd++XZMmTXL4uSo0edu4caPat29vfzxy5EhJ0oABAzRnzhylp6frwIED9uM1atTQsmXL9PDDD+uVV15RVFSUXn75Zd16662XPHZUrNkTBlV0CMBl56Fn3j7v8cwjJ/TgU/PP2+aXtEMaMOaN8gwLuGQuVHQaMWKEJkyYoDp16qhOnTqaMGGC/Pz81L9/f0lSUFCQEhISNGrUKIWEhCg4OFijR49W48aN7XefOqJCk7d27drZbzgoyZw5c4rta9u2rTZv3uzEqAAAgEtx0tdjlbXwdqGi06OPPqrTp09r6NChOnr0qFq2bKkVK1YoIOB/i8hPmTJFHh4e6tOnj06fPq2OHTtqzpw5cnd3dzxs43zZ0z9QVlaWgoKC9PuR46bJiQAqXuUWD1Z0CADOYRTkKmfb6zp+/NL/3Sz6m7166wFVCij/5z55Iksdrq5WIdf2d1jqhgUAAIDLnaWWCgEAAJchJy8VYjVU3gAAACyEyhsAAHBpVlgq5FKi8gYAAGAhVN4AAIBLszlpqRCnLD9yCVB5AwAAsBAqbwAAwKVxs6kZyRsAAHBtZG8mDJsCAABYCJU3AADg0lgqxIzKGwAAgIVQeQMAAC6NpULMqLwBAABYCJU3AADg0rjZ1IzKGwAAgIVQeQMAAK6N0psJyRsAAHBpLBVixrApAACAhVB5AwAALo2lQsyovAEAAFgIlTcAAODSuF/BjMobAACAhVB5AwAAro3SmwmVNwAAAAuh8gYAAFwa67yZUXkDAACwECpvAADApbHOmxnJGwAAcGncr2DGsCkAAICFUHkDAACujdKbCZU3AAAAC6HyBgAAXBpLhZhReQMAALAQKm8AAMClsVSIGZU3AAAAC6HyBgAAXBo3m5qRvAEAANdG9mbCsCkAAICFUHkDAAAujaVCzKi8AQAAWAiVNwAA4NqctFSIRQtvVN4AAACshMobAABwadxsakblDQAAwEKovAEAANdG6c2E5A0AALg0lgoxY9gUAADAQqi8AQAAl2Zz0lIhTll+5BKg8gYAAGAhJG8AAMCl2Zy4OSoxMVE2m820RURE2I8bhqHExERFRUXJ19dX7dq1044dO/7OZZeK5A0AAMABDRs2VHp6un3btm2b/dikSZM0efJkTZ8+XampqYqIiFDnzp114sSJco+DOW8AAMC1OXmpkKysLNNub29veXt7F2vu4eFhqrYVMQxDU6dO1bhx49S7d29J0ty5cxUeHq63335b999/f7mGTeUNAABc1qKjoxUUFGTfkpKSSmy3Z88eRUVFqUaNGurXr59++eUXSdLevXuVkZGhLl262Nt6e3urbdu2WrduXbnHS+UNAAC4NGev85aWlqbAwED7/pKqbi1bttRbb72lunXr6vfff9czzzyj1q1ba8eOHcrIyJAkhYeHm84JDw/X/v37yz1ukjcAAODSbHLSUiF//n9gYKApeStJfHy8/b8bN26suLg41apVS3PnzlWrVq3O9ndOkIZhFNtXHhg2BQAAKCN/f381btxYe/bssc+DK6rAFcnMzCxWjSsPJG8AAMClucJSIefKycnRrl27FBkZqRo1aigiIkIrV660H8/NzVVKSopat279N56lZAybAgAAXMDo0aPVs2dPVatWTZmZmXrmmWeUlZWlAQMGyGazacSIEZowYYLq1KmjOnXqaMKECfLz81P//v3LPRaSNwAA4NJc4euxDh48qDvuuEOHDx9WlSpV1KpVK23YsEExMTGSpEcffVSnT5/W0KFDdfToUbVs2VIrVqxQQEBAucdN8gYAAHABCxcuPO9xm82mxMREJSYmOj0WkjcAAODinLxKr8VwwwIAAICFUHkDAAAuzRXmvLkSkjcAAODSGDQ1Y9gUAADAQqi8AQAAl8awqRmVNwAAAAuh8gYAAFya7c//OaNfK6LyBgAAYCFU3gAAgGvjdlMTKm8AAAAWQuUNAAC4NApvZiRvAADApbFUiBnDpgAAABZC5Q0AALg0lgoxo/IGAABgIVTeAACAa+OOBRMqbwAAABZC5Q0AALg0Cm9mVN4AAAAshMobAABwaazzZkbyBgAAXJxzlgqx6sApw6YAAAAWQuUNAAC4NIZNzai8AQAAWAjJGwAAgIWQvAEAAFgIc94AAIBLY86bGZU3AAAAC6HyBgAAXJrNSeu8OWftOOcjeQMAAC6NYVMzhk0BAAAshMobAABwaTY554usLFp4o/IGAABgJVTeAACAa6P0ZkLlDQAAwEKovAEAAJfGUiFmVN4AAAAshMobAABwaazzZkblDQAAwEKovAEAAJfGzaZmJG8AAMC1kb2ZMGwKAABgIVTeAACAS2OpEDMqbwAAABZC5Q0AALg0lgoxu+ySN8MwJEknsrIqOBIA5zIKcis6BADnKPpcFv39rAhZTvqb7ax+ne2yS95OnDghSapdI7qCIwEAwDpOnDihoKCgS/qcXl5eioiIUB0n/s2OiIiQl5eX0/p3BptRkal0BSgsLNRvv/2mgIAA2axaL4VdVlaWoqOjlZaWpsDAwIoOB8Cf+Gz+cxiGoRMnTigqKkpubpd+qvyZM2eUm+u8qryXl5d8fHyc1r8zXHaVNzc3N1WtWrWiw0A5CwwM5A8E4IL4bP4zXOqK21/5+PhYLrlyNu42BQAAsBCSNwAAAAsheYOleXt7a/z48fL29q7oUAD8BZ9NwHkuuxsWAAAArIzKGwAAgIWQvAEAAFgIyRsAAICFkLwBAABYCMkbXN6MGTNUo0YN+fj4KDY2Vl999dV526ekpCg2NlY+Pj6qWbOmZs2adYkiBS4PX375pXr27KmoqCjZbDZ98MEHFzyHzyVQfkje4NIWLVqkESNGaNy4cdqyZYvatGmj+Ph4HThwoMT2e/fuVbdu3dSmTRtt2bJFY8eO1UMPPaT33nvvEkcO/HNlZ2eradOmmj59ukPt+VwC5YulQuDSWrZsqWuuuUYzZ86076tfv75uvvlmJSUlFWs/ZswYffTRR9q1a5d935AhQ/Tdd99p/fr1lyRm4HJis9m0ZMkS3XzzzaW24XMJlC8qb3BZubm52rRpk7p06WLa36VLF61bt67Ec9avX1+sfdeuXbVx40bl5eU5LVYApeNzCZQvkje4rMOHD6ugoEDh4eGm/eHh4crIyCjxnIyMjBLb5+fn6/Dhw06LFUDp+FwC5YvkDS7PZrOZHhuGUWzfhdqXtB/ApcPnEig/JG9wWaGhoXJ3dy9WZcvMzCz2r/giERERJbb38PBQSEiI02IFUDo+l0D5InmDy/Ly8lJsbKxWrlxp2r9y5Uq1bt26xHPi4uKKtV+xYoWaN28uT09Pp8UKoHR8LoHyRfIGlzZy5Ei98cYbmj17tnbt2qWHH35YBw4c0JAhQyRJjz32mO655x57+yFDhmj//v0aOXKkdu3apdmzZys5OVmjR4+uqEsA/nFOnjyprVu3auvWrZLOLgWydetW+xI+fC4B5/Ko6ACA8+nbt6+OHDmip556Sunp6WrUqJGWLVummJgYSVJ6erppzbcaNWpo2bJlevjhh/XKK68oKipKL7/8sm699daKugTgH2fjxo1q3769/fHIkSMlSQMGDNCcOXP4XAJOxjpvAAAAFsKwKQAAgIWQvAEAAFgIyRsAAICFkLwBAABYCMkbAACAhZC8AQAAWAjJGwAAgIWQvAEAAFgIyRuAMklMTNTVV19tfzxw4EDdfPPNlzyOffv2yWaz2b+iqSTVq1fX1KlTHe5zzpw5uuKKK/52bDabTR988MHf7gcASkLyBvwDDBw4UDabTTabTZ6enqpZs6ZGjx6t7Oxspz/3Sy+9pDlz5jjU1pGECwBwfny3KfAPceONN+rNN99UXl6evvrqK917773Kzs7WzJkzi7XNy8uTp6dnuTxvUFBQufQDAHAMlTfgH8Lb21sRERGKjo5W//79deedd9qH7oqGOmfPnq2aNWvK29tbhmHo+PHjuu+++xQWFqbAwEB16NBB3333nanf5557TuHh4QoICFBCQoLOnDljOn7usGlhYaEmTpyo2rVry9vbW9WqVdOzzz4r6ewXlEtSs2bNZLPZ1K5dO/t5b775purXry8fHx9dddVVmjFjhul5vv32WzVr1kw+Pj5q3ry5tmzZUubXaPLkyWrcuLH8/f0VHR2toUOH6uTJk8XaffDBB6pbt658fHzUuXNnpaWlmY4vXbpUsbGx8vHxUc2aNfXkk08qPz+/zPEAwMUgeQP+oXx9fZWXl2d//NNPP2nx4sV677337MOW3bt3V0ZGhpYtW6ZNmzbpmmuuUceOHfXHH39IkhYvXqzx48fr2Wef1caNGxUZGVksqTrXY489pokTJ+rxxx/Xzp079fbbbys8PFzS2QRMklatWqX09HS9//77kqTXX39d48aN07PPPqtdu3ZpwoQJevzxxzV37lxJUnZ2tnr06KF69epp06ZNSkxM1OjRo8v8mri5uenll1/W9u3bNXfuXK1evVqPPvqoqc2pU6f07LPPau7cufr666+VlZWlfv362Y9/9tlnuuuuu/TQQw9p586devXVVzVnzhx7ggoATmcAsLwBAwYYvXr1sj/+5ptvjJCQEKNPnz6GYRjG+PHjDU9PTyMzM9Pe5vPPPzcCAwONM2fOmPqqVauW8eqrrxqGYRhxcXHGkCFDTMdbtmxpNG3atMTnzsrKMry9vY3XX3+9xDj37t1rSDK2bNli2h8dHW28/fbbpn1PP/20ERcXZxiGYbz66qtGcHCwkZ2dbT8+c+bMEvv6q5iYGGPKlCmlHl+8eLEREhJif/zmm28akowNGzbY9+3atcuQZHzzzTeGYRhGmzZtjAkTJpj6mTdvnhEZGWl/LMlYsmRJqc8LAH8Hc96Af4iPP/5YlSpVUn5+vvLy8tSrVy9NmzbNfjwmJkZVqlSxP960aZNOnjypkJAQUz+nT5/Wzz//LEnatWuXhgwZYjoeFxenL774osQYdu3apZycHHXs2NHhuA8dOqS0tDQlJCRo8ODB9v35+fn2+XS7du1S06ZN5efnZ4qjrL744gtNmDBBO3fuVFZWlvLz83XmzBllZ2fL399fkuTh4aHmzZvbz7nqqqt0xRVXaNeuXbr22mu1adMmpaammiptBQUFOnPmjE6dOmWKEQCcgeQN+Ido3769Zs6cKU9PT0VFRRW7IaEoOSlSWFioyMhIrVmzplhfF7tchq+vb5nPKSwslHR26LRly5amY+7u7pIkwzAuKp6/2r9/v7p166YhQ4bo6aefVnBwsNauXauEhATT8LJ0dqmPcxXtKyws1JNPPqnevXsXa+Pj4/O34wSACyF5A/4h/P39Vbt2bYfbX3PNNcrIyJCHh4eqV69eYpv69etrw4YNuueee+z7NmzYUGqfderUka+vrz7//HPde++9xY57eXlJOlupKhIeHq4rr7xSv/zyi+68884S+23QoIHmzZun06dP2xPE88VRko0bNyo/P18vvvii3NzOTvddvHhxsXb5+fnauHGjrr32WknS7t27dezYMV111VWSzr5uu3fvLtNrDQDlieQNuEx16tRJcXFxuvnmmzVx4kTVq1dPv/32m5YtW6abb75ZzZs317///W8NGDBAzZs31/XXX68FCxZox44dqlmzZol9+vj4aMyYMXr00Ufl5eWl6667TocOHdKOHTuUkJCgsLAw+fr6avny5apatap8fHwUFBSkxMREPfTQQwoMDFR8fLxycnK0ceNGHT16VCNHjlT//v01btw4JSQk6D//+Y/27dunF154oUzXW6tWLeXn52vatGnq2bOnvv76a82aNatYO09PTw0fPlwvv/yyPD099eCDD6pVq1b2ZO6JJ55Qjx49FB0drdtvv11ubm76/vvvtW3bNj3zzDNl/0EAQBlxtylwmbLZbFq2bJluuOEGDRo0SHXr1lW/fv20b98++92hffv21RNPPKExY8YoNjZW+/fv1wMPPHDefh9//HGNGjVKTzzxhOrXr6++ffsqMzNT0tn5ZC+//LJeffVVRUVFqVevXpKke++9V2+88YbmzJmjxo0bq23btpozZ459aZFKlSpp6dKl2rlzp5o1a6Zx48Zp4sSJZbreq6++WpMnT9bEiRPVqFEjLViwQElJScXa+fn5acyYMerfv7/i4uLk6+urhQsX2o937dpVH3/8sVauXKkWLVqoVatWmjx5smJiYsoUDwBcLJtRHpNJAAAAcElQeQMAALAQkjcAAAALIXkDAACwEJI3AAAACyF5AwAAsBCSNwAAAAsheQMAALAQkjcAAAALIXkDAACwEJI3AAAACyF5AwAAsJD/B7NAmjxUpn7/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: AdaBoostClassifier\n",
      "Accuracy: 0.97710\n",
      "Precision: 0.96992\n",
      "Recall: 0.98473\n",
      "F1 Score: 0.97727\n",
      "Confusion Matrix:\n",
      "[[381  12]\n",
      " [  6 387]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: BaggingClassifier\n",
      "Accuracy: 0.97710\n",
      "Precision: 0.96526\n",
      "Recall: 0.98982\n",
      "F1 Score: 0.97739\n",
      "Confusion Matrix:\n",
      "[[379  14]\n",
      " [  4 389]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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v1u+//66VK1fK3d3ddNx0002SLszT/LPS/DkHnBnJGy7L1dVVbdu21Y4dO4osOChO4S+itLS0Itd+++03U+Xgr/Ly8pKkIvOQLv4ftiS1aNFCK1eu1KlTp7R161bFxcVpxIgRWrZs2SX7DwoKuuRzSCrTZ/mzfv366ejRo5o7d64eeeSRS7ZbtmyZ3N3d9e9//1s9e/ZU8+bNFRsbe1XvWZr9x9LS0jR06FDdfPPNOnbsmEaPHn3FeypWrCgXF5dr+nkWVj6/+eYbSReqlL/99pvmz5+vAQMG6I477lBsbGyRLVgK/wz//vvvRfq8OOkICgoqUbu/qqTv07p1a7m7u19yX7ySWLJkiR5++GFNnjxZHTt21K233qrY2NgiP1dubm4aOXKkdu7cqePHj+u9995TamqqOnbsaF8IFBwcrBkzZiglJUUHDx5UYmKiPvzww1JtWXM5wcHB6tChg73qevHRv39/U/trtc8e4Ggkb7iisWPHyjAMDRw4UDk5OUWu5+bmauXKlZKkNm3aSFKRidTbtm3T/v371bZt2zKLq3CF2rfffms6XxhLcVxdXdW0aVO9/vrrkqSdO3desm3btm3tv/D/7J133pGPj4+aNWt2lZFf3o033qinn35aXbp0Ud++fS/Zzmazyc3NzbQY4ty5c1q8eHGRtmVVzczPz9f9998vm82mzz77TImJiZo5c6a9enUpvr6+atq0qT788ENTHAUFBVqyZIkqV66sqKiovxzfn+3evVuSFBISIumPX9wXL4B44403TK/r1KmjsLAwvf/++6bzhw4d0ubNm03nWrZsqdOnT+uzzz4znb/cXwquRsuWLbV+/XpTAlVQUKB//etfpnZhYWEaMGCA1qxZo3feeafYvn7++eciPzN/ZrPZinxGn376qX799ddL3nPDDTfo3nvv1dChQ3X8+HHTSu9CVapU0RNPPKH27dtf9ueuNDp37qy9e/eqZs2a9srrn4/Cqi7wd8NqU1xRXFyc5syZoyFDhigmJkaPP/64brrpJuXm5mrXrl168803FR0drS5duqhOnTp67LHHNHPmTLm4uCg+Pt6+2jQyMlJPPfVUmcXVqVMnBQYGqn///nr++efl5uamhQsXKjU11dRu7ty5Wr9+ve666y5VqVJF58+ft2/F0K5du0v2P3HiRPucmgkTJigwMFDvvvuuPv30U02dOlUBAQFl9iwXe+mll67Y5q677tK0adPUp08fPfbYYzp27JhefvnlYldnNmjQQMuWLdPy5ctVo0YNeXl5XXGeWnEmTpyoL774QmvXrlVYWJhGjRql5ORk9e/fX40bN1b16tUveW9iYqLat2+v1q1ba/To0fLw8NDs2bO1d+9evffee3+pKnLo0CFt3bpV0oX5dVu2bFFiYqKqVq2q7t27S5KaN2+uihUravDgwZo4caLc3d317rvv2itzhVxcXPTcc89p0KBBuvfee/Xoo4/q5MmTeu655xQeHi4Xlz/+ztu3b19Nnz5dDz74oCZNmqRatWrps88+sw/V/rntXzFu3DitXLlSbdu21bhx4+Tt7a25c+fatzj58/tMmzZNv/zyi/r166c1a9bonnvuUWhoqI4ePaqkpCQtWLBAy5Ytu+R2IZ07d9bChQtVt25dNWzYUDt27NA///nPIpvjdunSRdHR0YqNjVWlSpV08OBBzZgxQ1WrVlXt2rV16tQptW7dWn369FHdunXl5+enbdu2afXq1fb/Jn/V888/r6SkJDVv3lzDhw9XnTp1dP78eaWkpGjVqlWaO3cum/ri76m8V0zAOnbv3m307dvXqFKliuHh4WH4+voajRs3NiZMmGBkZGTY2+Xn5xtTpkwxoqKiDHd3dyM4ONh48MEHjdTUVFN/l1pRVtzqMxWz2tQwDOPrr782mjdvbvj6+ho33nijMXHiROPtt982rcDbsmWLcc899xhVq1Y1PD09jaCgIKNly5bGJ598UuQ9/rySzTAMY8+ePUaXLl2MgIAAw8PDw2jUqFGRlXmFqzL/9a9/mc6XdAPUP682vZziVozOnz/fqFOnjuHp6WnUqFHDSExMNObNm2d6fsMwjJSUFKNDhw6Gn5+fIcn++V4q9j9fK1xtunbtWsPFxaXIZ3Ts2DGjSpUqRpMmTYzs7OzLPsMXX3xhtGnTxvD19TW8vb2NZs2aGStXrjS1+aurTb28vIyoqChjxIgRRlpamqn95s2bjbi4OMPHx8eoVKmSMWDAAGPnzp3F/nd68803jVq1ahkeHh5GVFSUMX/+fKNr165G48aNTe0OHTpkdO/e3ahQoYLh5+dn9OjRw1i1apUhybR59aVWm951111Fnqtly5ZF/lt/8cUXRtOmTQ1PT08jLCzMePrpp+0rfwtXPhfKy8szFi1aZLRp08YIDAw03NzcjEqVKhnx8fHG0qVLjfz8fNPn9+dnP3HihNG/f38jJCTE8PHxMW6//Xbjiy++KBLTK6+8YjRv3twIDg42PDw8jCpVqhj9+/c3UlJSDMMwjPPnzxuDBw82GjZsaPj7+xve3t5GnTp1jIkTJxpZWVn2fv7KalPDMIwjR44Yw4cPN6pXr264u7sbgYGBRkxMjDFu3DjjzJkzpucsyZ8pwApshvGn3TwBAMU6efKkoqKi1K1bN7355puXbTt58mT94x//0KFDhxxa+enQoYNSUlL03//+12HvAcD5MGwKABdJT0/Xiy++qNatWysoKEgHDx7U9OnTdfr06SLfwzlr1ixJUt26dZWbm6v169frtdde04MPPlimidvIkSPVuHFjRUZG6vjx43r33XeVlJSkefPmldl7ALAGkjcAuIinp6dSUlI0ZMgQHT9+3L5AZe7cufZtKAr5+Pho+vTpSklJUXZ2tqpUqaIxY8boH//4R5nGlJ+frwkTJig9PV02m03169fX4sWL9eCDD5bp+wBwfgybAgAAWAhbhQAAAFgIyRsAAICFkLwBAABYyHW3YKGgoEC//fab/Pz8+KoUAACuwDAMnT59WhEREWW28XRpnD9/vthv9ykrHh4e9q9btIrrLnn77bffFBkZWd5hAABgKampqdf8GyvOnz8vb78gKe+sw94jLCxMBw4csFQCd90lb4VfQu1x8yDZXD3KORoAf/bzqufLOwQAFzl9OlP1alW1//68lnJycqS8s/Ks31dyxO/s/Bylf7dIOTk5JG/OrHCo1ObqIZtr0e+ABFB+/P39yzsEAJdQrlON3LwcUnAxbNac+n/dJW8AAMBibJIckTxadOq7NVNOAACA6xSVNwAA4NxsLhcOR/RrQdaMGgAA4DpF5Q0AADg3m81Bc96sOemNyhsAAICFUHkDAADOjTlvJtaMGgAA4DpF5Q0AADg35ryZkLwBAAAn56BhU4sOQFozagAAgOsUlTcAAODcGDY1ofIGAABgIVTeAACAc2OrEBNrRg0AAHCdovIGAACcG3PeTKi8AQAAWAiVNwAA4NyY82ZC8gYAAJwbw6Ym1kw5AQAArlNU3gAAgHNj2NTEmlEDAABcp6i8AQAA52azOajyxpw3AAAAOBiVNwAA4NxcbBcOR/RrQVTeAAAALITKGwAAcG6sNjUheQMAAM6NTXpNrJlyAgAAXKeovAEAAOfGsKmJNaMGAAC4TlF5AwAAzo05byZU3gAAACyEyhsAAHBuzHkzsWbUAAAA1ykqbwAAwLkx582E5A0AADg3hk1NrBk1AADAdYrKGwAAcG4Mm5pQeQMAALAQkjcAAODkXP6Y91aWRynSoDlz5qhhw4by9/eXv7+/4uLi9Nlnn9mv9+vXTzabzXQ0a9bM1Ed2draGDRum4OBg+fr66u6779bhw4ev5tMAAADA5VSuXFkvvfSStm/fru3bt6tNmzbq2rWr9u3bZ29z5513Ki0tzX6sWrXK1MeIESO0YsUKLVu2TJs2bdKZM2fUuXNn5efnlyoW5rwBAADn5gRz3rp06WJ6/eKLL2rOnDnaunWrbrrpJkmSp6enwsLCir3/1KlTmjdvnhYvXqx27dpJkpYsWaLIyEitW7dOHTt2LHEsVN4AAMB1LTMz03RkZ2dftn1+fr6WLVumrKwsxcXF2c9v3LhRISEhioqK0sCBA5WRkWG/tmPHDuXm5qpDhw72cxEREYqOjtbmzZtLFS/JGwAAcG42m2PmvP2v8hYZGamAgAD7kZiYWGwYe/bsUYUKFeTp6anBgwdrxYoVql+/viQpPj5e7777rtavX69XXnlF27ZtU5s2beyJYHp6ujw8PFSxYkVTn6GhoUpPTy/Vx8GwKQAAcG4O3qQ3NTVV/v7+9tOenp7FNq9Tp452796tkydP6oMPPlDfvn2VnJys+vXrq1evXvZ20dHRio2NVdWqVfXpp5+qe/fulwzBMAzZSjkkTOUNAABc1wpXkBYel0rePDw8VKtWLcXGxioxMVGNGjXSq6++Wmzb8PBwVa1aVT/++KMkKSwsTDk5OTpx4oSpXUZGhkJDQ0sVL8kbAABwboULFhxx/AWGYVxyftyxY8eUmpqq8PBwSVJMTIzc3d2VlJRkb5OWlqa9e/eqefPmpXpfhk0BAACu4Nlnn1V8fLwiIyN1+vRpLVu2TBs3btTq1at15swZJSQkqEePHgoPD1dKSoqeffZZBQcH65577pEkBQQEqH///ho1apSCgoIUGBio0aNHq0GDBvbVpyVF8gYAAJybE3wx/e+//66HHnpIaWlpCggIUMOGDbV69Wq1b99e586d0549e/TOO+/o5MmTCg8PV+vWrbV8+XL5+fnZ+5g+fbrc3NzUs2dPnTt3Tm3bttXChQvl6upaqrBJ3gAAAK5g3rx5l7zm7e2tNWvWXLEPLy8vzZw5UzNnzvxLsZC8AQAA5+YEm/Q6ExYsAAAAWAiVNwAA4NycYM6bMyF5AwAAzo1hUxNrppwAAADXKSpvAADAqdlstlJ/hVQJOy77Pq8BKm8AAAAWQuUNAAA4NSpvZlTeAAAALITKGwAAcG62/x2O6NeCqLwBAABYCJU3AADg1JjzZkbyBgAAnBrJmxnDpgAAABZC5Q0AADg1Km9mVN4AAAAshMobAABwalTezKi8AQAAWAiVNwAA4NzYpNeEyhsAAICFUHkDAABOjTlvZlTeAAAALITKGwAAcGo2mxxUeSv7Lq8FkjcAAODUbHLQsKlFszeGTQEAACyEyhsAAHBqLFgwo/IGAABgIVTeAACAc2OTXhMqbwAAABZC5Q0AADg3B815M5jzBgAAAEej8gYAAJyao1abOmbvOMcjeQMAAE6N5M2MYVMAAAALofIGAACcG1uFmFB5AwAAsBAqbwAAwKkx582MyhsAAICFUHkDAABOjcqbGZU3AAAAC6HyBgAAnBqVNzOSNwAA4NRI3swYNgUAALAQKm8AAMC5sUmvCZU3AAAAC6HyBgAAnBpz3syovAEAAFgIlTcAAODUqLyZUXkDAACwEJI3AADg1Aorb444SmrOnDlq2LCh/P395e/vr7i4OH322Wf264ZhKCEhQREREfL29larVq20b98+Ux/Z2dkaNmyYgoOD5evrq7vvvluHDx8u9edB8gYAAJybzYFHCVWuXFkvvfSStm/fru3bt6tNmzbq2rWrPUGbOnWqpk2bplmzZmnbtm0KCwtT+/btdfr0aXsfI0aM0IoVK7Rs2TJt2rRJZ86cUefOnZWfn1+qj4PkDQAA4Aq6dOmiTp06KSoqSlFRUXrxxRdVoUIFbd26VYZhaMaMGRo3bpy6d++u6OhoLVq0SGfPntXSpUslSadOndK8efP0yiuvqF27dmrcuLGWLFmiPXv2aN26daWKheQNAAA4NUcPm2ZmZpqO7Ozsy8aTn5+vZcuWKSsrS3FxcTpw4IDS09PVoUMHextPT0+1bNlSmzdvliTt2LFDubm5pjYRERGKjo62tykpkjcAAHBdi4yMVEBAgP1ITEwstt2ePXtUoUIFeXp6avDgwVqxYoXq16+v9PR0SVJoaKipfWhoqP1aenq6PDw8VLFixUu2KSm2CgEAAE7N0VuFpKamyt/f337e09Oz2PZ16tTR7t27dfLkSX3wwQfq27evkpOTi/RXyDCMK8ZdkjYXo/IGAACua4UrSAuPSyVvHh4eqlWrlmJjY5WYmKhGjRrp1VdfVVhYmCQVqaBlZGTYq3FhYWHKycnRiRMnLtmmpKi8wek82i1Oj94Tp8jwC6Xl7w/8rn8uSNK6rT9Ikk58+c9i75vw+r81c+mFvwFVuzFILwztrGYNq8nDw02fb/1BY6Z/pCMnzlybhwCuE1t2/aTX3/1c3/yQqt+PZmrhSwPUqWXDYtuOemmZFn+8WS88eY8G9W59jSOFldnkoMrbX/xmesMwlJ2drerVqyssLExJSUlq3LixJCknJ0fJycmaMmWKJCkmJkbu7u5KSkpSz549JUlpaWnau3evpk6dWqr3LffK2+zZs1W9enV5eXkpJiZGX3zxxWXbJycnKyYmRl5eXqpRo4bmzp17jSLFtfLbkZN6bu4qten/qtr0f1Vf7PhJ777UT3WrX/ibSZ0uz5uOoS8uV0FBgT7ZuEeS5OPlrg+nD5QhQ12Hv6H4wa/Lw91V7019xLK7aQPO6uz5HN1U+0Yljrrvsu1WJX+rnd8dVFhwwDWKDChbzz77rL744gulpKRoz549GjdunDZu3KgHHnhANptNI0aM0OTJk7VixQrt3btX/fr1k4+Pj/r06SNJCggIUP/+/TVq1Ch9/vnn2rVrlx588EE1aNBA7dq1K1Us5Vp5W758uUaMGKHZs2frtttu0xtvvKH4+Hh99913qlKlSpH2Bw4cUKdOnTRw4EAtWbJEX375pYYMGaJKlSqpR48e5fAEcITVX+43vZ705mo9ek+cYm+qou8P/K6M46dN1zu1uElf7PxZB387Lklq2rC6qoRVVMt+03X67IUVQ0Mnv6+U1c/rjphaSt7+47V5EOA60DauvtrG1b9sm7SMkxr7yr+0fMYQPTDqjWsUGf5OnOHrsX7//Xc99NBDSktLU0BAgBo2bKjVq1erffv2kqRnnnlG586d05AhQ3TixAk1bdpUa9eulZ+fn72P6dOny83NTT179tS5c+fUtm1bLVy4UK6urqWKu1yTt2nTpql///4aMGCAJGnGjBlas2aN5syZU+xKj7lz56pKlSqaMWOGJKlevXravn27Xn75ZZK3vykXF5u6tW4oHy8Pbdt7sMj1ShUrqEPzehoyaZn9nKe764VSdm6e/Vx2dq7y8wvUrGE1kjfgGiooKNDQ5xdr6ANtVbdGeHmHA6sq5Ya6peq3hObNm3f5rmw2JSQkKCEh4ZJtvLy8NHPmTM2cObPkb1yMchs2zcnJ0Y4dO0z7nUhShw4dLrnfyZYtW4q079ixo7Zv367c3Nxi78nOzi6yfwucX/0aYUpNmqTfNyRq2tM99NCzi/RDSkaRdvfHx+rM2WytTN5rP7dt3yGdPZ+jhCF3ydvTXT5e7nr+ic5ydXVRWJB/kT4AOM7Mxevk6uqigT1blncowN9GuSVvR48eVX5+/mX3RLlYenp6se3z8vJ09OjRYu9JTEw07d0SGRlZNg8Ah/rx0BHd0W+62g+apfkfbdHscb1Up1pIkXYPdG6if63dqeycP6psx05mqd/4Jbrztvo6vG6SDq55Qf6+Xtr9/WHlFxRcy8cArmvffH9Ib76frJn/eJD5pvhLnOG7TZ1Jua82Le2eKMW1L+58obFjx2rkyJH215mZmSRwFpCbl68Dvx6TJO3+/rAa143U4Pta6Kl/fmBvE9eouqKqhqj/hCVF7t/w9X91S8+XFBjgo7z8AmWeOa/vP5mgg2nHr9kzANe7rbt/1tETZ9T4non2c/n5BZo48yO9uTxZO1YklF9wgIWVW/IWHBwsV1fXy+6JcrGwsLBi27u5uSkoKKjYezw9PS+5Xwusw2aTPDzMf1wf7Hyrdn2fqr0/pV3yvuOnzkqSWtxSU5Uq+uqzTd85NE4Af7gv/lbd0aSO6VyvEXN0X3wT3X9X03KKClbkDAsWnEm5JW8eHh6KiYlRUlKS7rnnHvv5pKQkde3atdh74uLitHLlStO5tWvXKjY2Vu7u7g6NF9fO+EF3at3WH3T495Py8/FU93Y36/bGNXXvqLftbfx8PNW1dUONn7Wy2D76dIrVfw9m6OjJLN16U1Uljrhbs5d/oZ8OHblWjwFcF86czdaBw3/8XB367Zj2/PewKvr7qHJYoAIDfE3t3d1cFRLop1pVS7cpKYA/lOuw6ciRI/XQQw8pNjZWcXFxevPNN3Xo0CENHjxY0oUhz19//VXvvPOOJGnw4MGaNWuWRo4cqYEDB2rLli2aN2+e3nvvvfJ8DJSxShX9NHd8b4UG+Ssz67z2/ZSme0e9rY3b/lgl2r3dzbLZpA+SdhfbR+0qlTRhcCdV9PfWobQTemXRes1e/p9r9ATA9eOb7w/pnqF/rJyb8NoKSVKvTrdq5vgHyyss/M3YbBcOR/RrRTajcNJYOZk9e7amTp2qtLQ0RUdHa/r06brjjjskSf369VNKSoo2btxob5+cnKynnnpK+/btU0REhMaMGWNP9koiMzNTAQEB8owZJpsrw6mAM8lInlLeIQC4SGZmpiqHVtSpU6dM3/95rd47ICBA1Z/4P7l4+pR5/wXZZ3Vg1r3l8mx/RbkvWBgyZIiGDBlS7LWFCxcWOdeyZUvt3LnTwVEBAABncaHy5og5b2Xe5TVR7skbAADAZTlo2NQhG/9eA+X+3aYAAAAoOSpvAADAqbFViBmVNwAAAAuh8gYAAJwaW4WYUXkDAACwECpvAADAqbm42OTiUvZlMsMBfV4LVN4AAAAshMobAABwasx5MyN5AwAATo2tQswYNgUAALAQKm8AAMCpMWxqRuUNAADAQqi8AQAAp8acNzMqbwAAABZC5Q0AADg1Km9mVN4AAAAshMobAABwaqw2NSN5AwAATs0mBw2byprZG8OmAAAAFkLlDQAAODWGTc2ovAEAAFgIlTcAAODU2CrEjMobAACAhVB5AwAATo05b2ZU3gAAACyEyhsAAHBqzHkzo/IGAABgIVTeAACAU2POmxnJGwAAcGoMm5oxbAoAAGAhVN4AAIBzc9CwqUW/l57KGwAAgJVQeQMAAE6NOW9mVN4AAAAshMobAABwamwVYkblDQAAwEKovAEAAKfGnDczkjcAAODUGDY1Y9gUAADAQqi8AQAAp8awqRmVNwAAgCtITExUkyZN5Ofnp5CQEHXr1k0//PCDqU2/fv3siWbh0axZM1Ob7OxsDRs2TMHBwfL19dXdd9+tw4cPlyoWkjcAAODULk6IyvIoqeTkZA0dOlRbt25VUlKS8vLy1KFDB2VlZZna3XnnnUpLS7Mfq1atMl0fMWKEVqxYoWXLlmnTpk06c+aMOnfurPz8/BLHwrApAADAFaxevdr0esGCBQoJCdGOHTt0xx132M97enoqLCys2D5OnTqlefPmafHixWrXrp0kacmSJYqMjNS6devUsWPHEsVC5Q0AADi1wtWmjjgkKTMz03RkZ2dfMaZTp05JkgIDA03nN27cqJCQEEVFRWngwIHKyMiwX9uxY4dyc3PVoUMH+7mIiAhFR0dr8+bNJf48SN4AAMB1LTIyUgEBAfYjMTHxsu0Nw9DIkSN1++23Kzo62n4+Pj5e7777rtavX69XXnlF27ZtU5s2bezJYHp6ujw8PFSxYkVTf6GhoUpPTy9xvAybAgAAp+bo1aapqany9/e3n/f09LzsfU888YS+/fZbbdq0yXS+V69e9n+Pjo5WbGysqlatqk8//VTdu3e/ZH+GYZTq+ai8AQAAp+boYVN/f3/TcbnkbdiwYfrkk0+0YcMGVa5c+bJxh4eHq2rVqvrxxx8lSWFhYcrJydGJEydM7TIyMhQaGlriz4PkDQAA4AoMw9ATTzyhDz/8UOvXr1f16tWveM+xY8eUmpqq8PBwSVJMTIzc3d2VlJRkb5OWlqa9e/eqefPmJY6FYVMAAODUnGGT3qFDh2rp0qX6+OOP5efnZ5+jFhAQIG9vb505c0YJCQnq0aOHwsPDlZKSomeffVbBwcG655577G379++vUaNGKSgoSIGBgRo9erQaNGhgX31aEiRvAAAAVzBnzhxJUqtWrUznFyxYoH79+snV1VV79uzRO++8o5MnTyo8PFytW7fW8uXL5efnZ28/ffp0ubm5qWfPnjp37pzatm2rhQsXytXVtcSxkLwBAACnZpODvpi+FG0Nw7jsdW9vb61Zs+aK/Xh5eWnmzJmaOXNmKd7djDlvAAAAFkLlDQAAODUXm00uDii9OaLPa4HKGwAAgIVQeQMAAE7tz3uylXW/VkTyBgAAnJozbBXiTBg2BQAAsBAqbwAAwKm52C4cjujXiqi8AQAAWAiVNwAA4NxsDpqfRuUNAAAAjkblDQAAODW2CjGj8gYAAGAhVN4AAIBTs/3vH0f0a0UkbwAAwKmxVYgZw6YAAAAWQuUNAAA4Nb4ey4zKGwAAgIVQeQMAAE6NrULMqLwBAABYCJU3AADg1FxsNrk4oEzmiD6vBSpvAAAAFkLlDQAAODXmvJmRvAEAAKfGViFmDJsCAABYCJU3AADg1Bg2NStR8vbaa6+VuMPhw4dfdTAAAAC4vBIlb9OnTy9RZzabjeQNAACUKbYKMStR8nbgwAFHxwEAAIASuOoFCzk5Ofrhhx+Ul5dXlvEAAACY2Bx4WFGpk7ezZ8+qf//+8vHx0U033aRDhw5JujDX7aWXXirzAAEAAPCHUidvY8eO1TfffKONGzfKy8vLfr5du3Zavnx5mQYHAABQuM+bIw4rKvVWIR999JGWL1+uZs2amR66fv36+vnnn8s0OAAAABfbhcMR/VpRqStvR44cUUhISJHzWVlZls1gAQAArKLUyVuTJk306aef2l8XJmxvvfWW4uLiyi4yAAAAMWx6sVIPmyYmJurOO+/Ud999p7y8PL366qvat2+ftmzZouTkZEfECAAAgP8pdeWtefPm+vLLL3X27FnVrFlTa9euVWhoqLZs2aKYmBhHxAgAAK5zhV+RVZaHVV3Vd5s2aNBAixYtKutYAAAAcAVXlbzl5+drxYoV2r9/v2w2m+rVq6euXbvKzY3vuQcAAGXLUfPTrps5b3v37lXXrl2Vnp6uOnXqSJL++9//qlKlSvrkk0/UoEGDMg8SAAAAF5R6ztuAAQN000036fDhw9q5c6d27typ1NRUNWzYUI899pgjYgQAANexwn3eHHFYUakrb9988422b9+uihUr2s9VrFhRL774opo0aVKmwQEAADBsalbqyludOnX0+++/FzmfkZGhWrVqlUlQAAAAKF6JKm+ZmZn2f588ebKGDx+uhIQENWvWTJK0detWPf/885oyZYpjogQAANct2/8OR/RrRSVK3m644QZTadEwDPXs2dN+zjAMSVKXLl2Un5/vgDABAAAglTB527Bhg6PjAAAAKJaLzSYXB8xPc0Sf10KJkreWLVs6Og4AAACUwFXvqnv27FkdOnRIOTk5pvMNGzb8y0EBAAAUctTXWVm08Fb65O3IkSN65JFH9NlnnxV7nTlvAAAAjlPqrUJGjBihEydOaOvWrfL29tbq1au1aNEi1a5dW5988okjYgQAANexwn3eHHFYUamTt/Xr12v69Olq0qSJXFxcVLVqVT344IOaOnWqEhMTHREjAABAuUpMTFSTJk3k5+enkJAQdevWTT/88IOpjWEYSkhIUEREhLy9vdWqVSvt27fP1CY7O1vDhg1TcHCwfH19dffdd+vw4cOliqXUyVtWVpZCQkIkSYGBgTpy5IgkqUGDBtq5c2dpuwMAALiswjlvjjhKKjk5WUOHDtXWrVuVlJSkvLw8dejQQVlZWfY2U6dO1bRp0zRr1ixt27ZNYWFhat++vU6fPm1vM2LECK1YsULLli3Tpk2bdObMGXXu3LlU085KPeetTp06+uGHH1StWjXdfPPNeuONN1StWjXNnTtX4eHhpe0OAADgspxhq5DVq1ebXi9YsEAhISHasWOH7rjjDhmGoRkzZmjcuHHq3r27JGnRokUKDQ3V0qVLNWjQIJ06dUrz5s3T4sWL1a5dO0nSkiVLFBkZqXXr1qljx44li7vEUf/PiBEjlJaWJkmaOHGiVq9erSpVqui1117T5MmTS9sdAABAucrMzDQd2dnZV7zn1KlTki6MQkrSgQMHlJ6erg4dOtjbeHp6qmXLltq8ebMkaceOHcrNzTW1iYiIUHR0tL1NSZS68vbAAw/Y/71x48ZKSUnR999/rypVqig4OLi03QEAAFyWo7cKiYyMNJ2fOHGiEhISLnmfYRgaOXKkbr/9dkVHR0uS0tPTJUmhoaGmtqGhoTp48KC9jYeHhypWrFikTeH9JXHV+7wV8vHx0S233PJXuwEAACgXqamp8vf3t7/29PS8bPsnnnhC3377rTZt2lTk2sUrWA3DuOKq1pK0+bMSJW8jR44scYfTpk0rcVsAAIArcdS2HoV9+vv7m5K3yxk2bJg++eQT/ec//1HlypXt58PCwiRdqK79eQ1ARkaGvRoXFhamnJwcnThxwlR9y8jIUPPmzUscd4mSt127dpWoMyvtl3Jo7aQS/4cCcG1UbPJEeYcA4CJGfs6VG10HDMPQsGHDtGLFCm3cuFHVq1c3Xa9evbrCwsKUlJSkxo0bS5JycnKUnJysKVOmSJJiYmLk7u6upKQk9ezZU5KUlpamvXv3aurUqSWOhS+mBwAATs1FV7HCsoT9ltTQoUO1dOlSffzxx/Lz87PPUQsICJC3t7dsNptGjBihyZMnq3bt2qpdu7YmT54sHx8f9enTx962f//+GjVqlIKCghQYGKjRo0erQYMG9tWnJfGX57wBAAD83c2ZM0eS1KpVK9P5BQsWqF+/fpKkZ555RufOndOQIUN04sQJNW3aVGvXrpWfn5+9/fTp0+Xm5qaePXvq3Llzatu2rRYuXChXV9cSx2IzDMP4y09kIZmZmQoICNDvx04xbAo4GYZNAedj5Ocoe89bOnXq2v/eLPydPejdbfLwqVDm/eecPaM3HmhSLs/2V1B5AwAATs1mk1wcuFWI1ThiCBkAAAAOQuUNAAA4NRcHVd4c0ee1cFWVt8WLF+u2225TRESEfdfgGTNm6OOPPy7T4AAAAGBW6uRtzpw5GjlypDp16qSTJ08qPz9fknTDDTdoxowZZR0fAAC4zhVu0uuIw4pKnbzNnDlTb731lsaNG2da1hobG6s9e/aUaXAAAAAwK/WctwMHDth3Dv4zT09PZWVllUlQAAAAhZjzZlbqylv16tW1e/fuIuc/++wz1a9fvyxiAgAAwCWUuvL29NNPa+jQoTp//rwMw9DXX3+t9957T4mJiXr77bcdESMAALiO2WyO2ZPNolPeSp+8PfLII8rLy9Mzzzyjs2fPqk+fPrrxxhv16quvqnfv3o6IEQAAXMdcbDa5OCDTckSf18JV7fM2cOBADRw4UEePHlVBQYFCQkLKOi4AAAAU4y9t0hscHFxWcQAAABTLRY75Siirfs1UqZO36tWrX3ZflF9++eUvBQQAAIBLK3XyNmLECNPr3Nxc7dq1S6tXr9bTTz9dVnEBAABIYsHCxUqdvD355JPFnn/99de1ffv2vxwQAAAALq3Mhnvj4+P1wQcflFV3AAAAkiQX2ewrTsv0kDVLb2WWvP3f//2fAgMDy6o7AAAAFKPUw6aNGzc2LVgwDEPp6ek6cuSIZs+eXabBAQAAMOfNrNTJW7du3UyvXVxcVKlSJbVq1Up169Ytq7gAAAAk8d2mFytV8paXl6dq1aqpY8eOCgsLc1RMAAAAuIRSzXlzc3PT448/ruzsbEfFAwAAYGKzySELFqw6bFrqBQtNmzbVrl27HBELAAAArqDUc96GDBmiUaNG6fDhw4qJiZGvr6/pesOGDcssOAAAABYsmJU4eXv00Uc1Y8YM9erVS5I0fPhw+zWbzSbDMGSz2ZSfn1/2UQIAAEBSKZK3RYsW6aWXXtKBAwccGQ8AAIAJq03NSpy8GYYhSapatarDggEAAMDllWrOm82qg8MAAMCybP/7xxH9WlGpkreoqKgrJnDHjx//SwEBAAD8GcOmZqVK3p577jkFBAQ4KhYAAABcQamSt969eyskJMRRsQAAABRB5c2sxJv0Mt8NAACg/JV6tSkAAMC1ZLPZHFJEsmphqsTJW0FBgSPjAAAAQAmU+uuxAAAAriXmvJmV+ovpAQAAUH6ovAEAAKfGF9ObkbwBAACn5mKzycUBmZYj+rwWGDYFAACwECpvAADAqbFgwYzKGwAAgIVQeQMAAM7NQQsWROUNAAAAjkblDQAAODUX2eTigDKZI/q8Fqi8AQAAWAiVNwAA4NTYpNeM5A0AADg1tgoxY9gUAADAQqi8AQAAp8bXY5lReQMAALAQkjcAAODUChcsOOIojf/85z/q0qWLIiIiZLPZ9NFHH5mu9+vXTzabzXQ0a9bM1CY7O1vDhg1TcHCwfH19dffdd+vw4cOlioPkDQAAoASysrLUqFEjzZo165Jt7rzzTqWlpdmPVatWma6PGDFCK1as0LJly7Rp0yadOXNGnTt3Vn5+fonjYM4bAABwai5y0Jy3Um7SGx8fr/j4+Mu28fT0VFhYWLHXTp06pXnz5mnx4sVq166dJGnJkiWKjIzUunXr1LFjxxLGDQAAcB3LzMw0HdnZ2Vfd18aNGxUSEqKoqCgNHDhQGRkZ9ms7duxQbm6uOnToYD8XERGh6Ohobd68ucTvQfIGAACcmqPnvEVGRiogIMB+JCYmXlWc8fHxevfdd7V+/Xq98sor2rZtm9q0aWNPBtPT0+Xh4aGKFSua7gsNDVV6enqJ34dhUwAA4NRc5JhqU2Gfqamp8vf3t5/39PS8qv569epl//fo6GjFxsaqatWq+vTTT9W9e/dL3mcYhmylGBam8gYAAK5r/v7+puNqk7eLhYeHq2rVqvrxxx8lSWFhYcrJydGJEydM7TIyMhQaGlrifkneAACAU7t4+42yPBzp2LFjSk1NVXh4uCQpJiZG7u7uSkpKsrdJS0vT3r171bx58xL3y7ApAABACZw5c0Y//fST/fWBAwe0e/duBQYGKjAwUAkJCerRo4fCw8OVkpKiZ599VsHBwbrnnnskSQEBAerfv79GjRqloKAgBQYGavTo0WrQoIF99WlJkLwBAACnZvvf4Yh+S2P79u1q3bq1/fXIkSMlSX379tWcOXO0Z88evfPOOzp58qTCw8PVunVrLV++XH5+fvZ7pk+fLjc3N/Xs2VPnzp1T27ZttXDhQrm6upY4DpI3AACAEmjVqpUMw7jk9TVr1lyxDy8vL82cOVMzZ8686jhI3gAAgFPji+nNWLAAAABgIVTeAACA07NmjcwxSN4AAIBT+/O3IZR1v1bEsCkAAICFUHkDAABOzVEb6jp6k15HofIGAABgIVTeAACAU3P0F9NbjVXjBgAAuC5ReQMAAE6NOW9mVN4AAAAshMobAABwas7yxfTOgsobAACAhVB5AwAATo05b2YkbwAAwKmxVYiZVeMGAAC4LlF5AwAATo1hUzMqbwAAABZC5Q0AADg1tgoxo/IGAABgIVTeAACAU7PZLhyO6NeKqLwBAABYCJU3AADg1Fxkk4sDZqg5os9rgeQNAAA4NYZNzRg2BQAAsBAqbwAAwKnZ/vePI/q1IipvAAAAFkLlDQAAODXmvJlReQMAALAQKm8AAMCp2Ry0VQhz3gAAAOBwVN4AAIBTY86bGckbAABwaiRvZgybAgAAWAiVNwAA4NTYpNeMyhsAAICFUHkDAABOzcV24XBEv1ZE5Q0AAMBCqLwBAACnxpw3MypvAAAAFkLlDQAAODX2eTMjeQMAAE7NJscMcVo0d2PYFAAAwEqovAEAAKfGViFmVN4AAAAshMobAABwamwVYkblDQAAwEKovMHypi1Yoxdmr9Tg3q2UOOre8g4H+Nt6tMfterRHC0WGB0qSvv8lXf+c95nWbf5OkuTr7aGJT3RVp5YNFRjgq0Npx/Xm8o2a/8Emex/VbgzWC0/eo2Y315CHu5s+37JfY17+l44cP10uzwRrYKsQs3KtvP3nP/9Rly5dFBERIZvNpo8++uiK9yQnJysmJkZeXl6qUaOG5s6d6/hA4bR27juoRR9t1k21byzvUIC/vd8yTuq5WR+rTd9/qk3ff+qL7f/Vuy8/pro1wiRJL47sobZx9TVowjtq2nOS5ry3QVNG36f4OxpIkny8PPThrKEyZKjr4zMVP2C6PNxd9d60QbJZ9bcoUA7KNXnLyspSo0aNNGvWrBK1P3DggDp16qQWLVpo165devbZZzV8+HB98MEHDo4UzujM2Ww9NmGhXn32ft3g513e4QB/e6u/2Kukzd/p50MZ+vlQhibNWamss9mKja4uSbq1QXW99+lX+nLnj0pNO65FK77U3h9/VeP6VSRJTRvVUJXwIA19bom++/k3fffzbxr6/BLF3FRNdzSJKs9Hg5OzOfAojSsVnQzDUEJCgiIiIuTt7a1WrVpp3759pjbZ2dkaNmyYgoOD5evrq7vvvluHDx8uVRzlmrzFx8dr0qRJ6t69e4naz507V1WqVNGMGTNUr149DRgwQI8++qhefvllB0cKZ/T01OXqcFu0WjWtW96hANcdFxeburePkY+3h7btOSBJ2rr7F8Xf0UDhlQIkSbfH1FbNKiFav2W/JMnTw02GYSg7J8/eT3ZOnvLzC9SsUc1r/xCwDBfZ5GJzwFHK9O1KRaepU6dq2rRpmjVrlrZt26awsDC1b99ep0//MS1gxIgRWrFihZYtW6ZNmzbpzJkz6ty5s/Lz80sch6XmvG3ZskUdOnQwnevYsaPmzZun3Nxcubu7F7knOztb2dnZ9teZmZkOjxOO98Ha7dq9P1Ub3nmmvEMBriv1a0ZozfxR8vJwU9a5bD309Fv64UC6JGnMy//Sq+P66LtVLyo3L18FBQV6ctJSbf3mF0nStj0pOns+RwnDuuqF1z+RzWZTwrCucnV1UViwf3k+FlAi8fHxio+PL/aaYRiaMWOGxo0bZy9KLVq0SKGhoVq6dKkGDRqkU6dOad68eVq8eLHatWsnSVqyZIkiIyO1bt06dezYsURxWGq1aXp6ukJDQ03nQkNDlZeXp6NHjxZ7T2JiogICAuxHZGTktQgVDnQ4/YTGvvKB3nyhr7w8iybsABznx4O/644HEtX+0Vc0/4NNmp3wkOpUvzDnbVDvVoptUE33j5yr1g9N0fgZK/TPMb3U8tY6kqRjJ8+o3/+bpztbROvwf17RwQ3/lH8Fb+3ef0j5BQXl+Vhwco4eNs3MzDQdfy76lNSBAweUnp5uKjJ5enqqZcuW2rx5syRpx44dys3NNbWJiIhQdHS0vU1JWKryJqnIpFbDMIo9X2js2LEaOXKk/XVmZiYJnMV98/0hHTl+Wq0fnmo/l59foM27ftZb//qPfv9yhlxdLfX3EsAycvPydeDwhb8s795/SI3rV9Hg3q00dtoHGj+kix56+i2t/fLCHJ99P/2m6KjKeuLBtkr++gdJ0oavvtct9zynwABf5eUXKPPMOX2/erIOrj1Wbs8EXJwXTJw4UQkJCaXqIz39QgW6uCLTwYMH7W08PDxUsWLFIm0K7y8JSyVvYWFhRR4uIyNDbm5uCgoKKvYeT09PeXp6XovwcI3c0aSOvnzvWdO5J55fotrVQvXkw+1J3IBryGazycPDTe5urvJwd1PB//5CXaigoEAuxfzl+vipLElSi9goVapYQZ99seeaxAuLuprVBSXtV1Jqaqr8/f8Yuv8reUNxRaYrraYuSZs/s1TyFhcXp5UrV5rOrV27VrGxscXOd8Pfk5+vl+rXijCd8/H2UGCAb5HzAMrO+CFdtG7zdzr8+wn5+Xipe4cY3X5Lbd07fLZOZ53Xph0/6vnh3XTufK5S04/rtltqqVenW/WPGR/a++jTpZn+eyBdR0+c0a0Nqytx5L2a/d4G/XQwoxyfDNc7f39/U/J2NcLCLkwfSE9PV3h4uP18RkaGvRoXFhamnJwcnThxwlR9y8jIUPPmzUv8XuWavJ05c0Y//fST/fWBAwe0e/duBQYGqkqVKho7dqx+/fVXvfPOO5KkwYMHa9asWRo5cqQGDhyoLVu2aN68eXrvvffK6xEA4LpRKdBPc597WKHB/so8c177fvpV9w6frY1ffy9J6j9uviYM7ao3X+iriv4+Sk0/rklz/m3apLd21RBNGHq3Kvr76NBvx/XKgjWavXR9eT0SLMIKX49VvXp1hYWFKSkpSY0bN5Yk5eTkKDk5WVOmTJEkxcTEyN3dXUlJSerZs6ckKS0tTXv37tXUqVMv2ffFyjV52759u1q3bm1/XTg3rW/fvlq4cKHS0tJ06NAh+/Xq1atr1apVeuqpp/T6668rIiJCr732mnr06HHNY4dz+fcbI8o7BOBvb/ikpZe9nnHstJ54fsll2zw36xM9N+uTsgwLuGauVHQaMWKEJk+erNq1a6t27dqaPHmyfHx81KdPH0lSQECA+vfvr1GjRikoKEiBgYEaPXq0GjRoYF99WhLlmry1atXKvuCgOAsXLixyrmXLltq5c6cDowIAAE7FQV+PVdrC25WKTs8884zOnTunIUOG6MSJE2ratKnWrl0rPz8/+z3Tp0+Xm5ubevbsqXPnzqlt27ZauHChXF1dSx62cbns6W8oMzNTAQEB+v3Yqb88vg2gbFVs8kR5hwDgIkZ+jrL3vKVTp679783C39nrdx9SBb+yf+8zpzPV5uYq5fJsfwXL8gAAACzEUqtNAQDAdcjBW4VYDZU3AAAAC6HyBgAAnJoVtgq5lqi8AQAAWAiVNwAA4NRsDtoqxCHbj1wDVN4AAAAshMobAABwaiw2NSN5AwAAzo3szYRhUwAAAAuh8gYAAJwaW4WYUXkDAACwECpvAADAqbFViBmVNwAAAAuh8gYAAJwai03NqLwBAABYCJU3AADg3Ci9mZC8AQAAp8ZWIWYMmwIAAFgIlTcAAODU2CrEjMobAACAhVB5AwAATo31CmZU3gAAACyEyhsAAHBulN5MqLwBAABYCJU3AADg1NjnzYzKGwAAgIVQeQMAAE6Nfd7MSN4AAIBTY72CGcOmAAAAFkLlDQAAODdKbyZU3gAAACyEyhsAAHBqbBViRuUNAADAQqi8AQAAp8ZWIWZU3gAAACyEyhsAAHBqLDY1I3kDAADOjezNhGFTAAAAC6HyBgAAnBpbhZhReQMAALAQKm8AAMC5OWirEIsW3qi8AQAAWAmVNwAA4NRYbGpG5Q0AAMBCqLwBAADnRunNhOQNAAA4NbYKMWPYFAAAwEKovAEAAKdmc9BWIQ7ZfuQaoPIGAABwBQkJCbLZbKYjLCzMft0wDCUkJCgiIkLe3t5q1aqV9u3b55BYSN4AAIBTsznwKI2bbrpJaWlp9mPPnj32a1OnTtW0adM0a9Ysbdu2TWFhYWrfvr1Onz59tY99SSRvAAAAJeDm5qawsDD7UalSJUkXqm4zZszQuHHj1L17d0VHR2vRokU6e/asli5dWuZxkLwBAADn5uDSW2ZmpunIzs4uNowff/xRERERql69unr37q1ffvlFknTgwAGlp6erQ4cO9raenp5q2bKlNm/eXIYfxAUkbwAA4LoWGRmpgIAA+5GYmFikTdOmTfXOO+9ozZo1euutt5Senq7mzZvr2LFjSk9PlySFhoaa7gkNDbVfK0usNgUAAE7N0fu8paamyt/f337e09OzSNv4+Hj7vzdo0EBxcXGqWbOmFi1apGbNml3o76Llq4ZhFDlXFqi8AQAAp2bTH9uFlOnxv/79/f1NR3HJ28V8fX3VoEED/fjjj/ZVpxdX2TIyMopU48oCyRsAAEApZWdna//+/QoPD1f16tUVFhampKQk+/WcnBwlJyerefPmZf7eDJsCAACn5gxfbTp69Gh16dJFVapUUUZGhiZNmqTMzEz17dtXNptNI0aM0OTJk1W7dm3Vrl1bkydPlo+Pj/r06VPmcZO8AQAAXMHhw4d1//336+jRo6pUqZKaNWumrVu3qmrVqpKkZ555RufOndOQIUN04sQJNW3aVGvXrpWfn1+Zx0LyBgAAnJozfD3WsmXLrtCXTQkJCUpISPhrQZUAc94AAAAshMobAABwcs4w6815UHkDAACwECpvAADAqTnDnDdnQvIGAACcGoOmZgybAgAAWAiVNwAA4NQYNjWj8gYAAGAhVN4AAIBTs/3vH0f0a0VU3gAAACyEyhsAAHBuLDc1ofIGAABgIVTeAACAU6PwZkbyBgAAnBpbhZgxbAoAAGAhVN4AAIBTY6sQMypvAAAAFkLlDQAAODdWLJhQeQMAALAQKm8AAMCpUXgzo/IGAABgIVTeAACAU2OfNzOSNwAA4OQcs1WIVQdOGTYFAACwECpvAADAqTFsakblDQAAwEJI3gAAACyE5A0AAMBCmPMGAACcGnPezKi8AQAAWAiVNwAA4NRsDtrnzTF7xzkeyRsAAHBqDJuaMWwKAABgIVTeAACAU7PJMV9kZdHCG5U3AAAAK6HyBgAAnBulNxMqbwAAABZC5Q0AADg1tgoxo/IGAABgIVTeAACAU2OfNzMqbwAAABZC5Q0AADg1FpuakbwBAADnRvZmwrApAACAhVB5AwAATo2tQsyovAEAAFgIlTcAAODU2CrE7LpL3gzDkCSdzsws50gAXMzIzynvEABcpPDnsvD3Z3nIdNDvbEf162jXXfJ2+vRpSVKt6pHlHAkAANZx+vRpBQQEXNP39PDwUFhYmGo78Hd2WFiYPDw8HNa/I9iM8kyly0FBQYF+++03+fn5yWbVeinsMjMzFRkZqdTUVPn7+5d3OAD+h5/Nvw/DMHT69GlFRETIxeXaT5U/f/68cnIcV5X38PCQl5eXw/p3hOuu8ubi4qLKlSuXdxgoY/7+/vyCAJwQP5t/D9e64vZnXl5elkuuHI3VpgAAABZC8gYAAGAhJG+wNE9PT02cOFGenp7lHQqAP+FnE3Cc627BAgAAgJVReQMAALAQkjcAAAALIXkDAACwEJI3AAAACyF5g9ObPXu2qlevLi8vL8XExOiLL764bPvk5GTFxMTIy8tLNWrU0Ny5c69RpMD14T//+Y+6dOmiiIgI2Ww2ffTRR1e8h59LoOyQvMGpLV++XCNGjNC4ceO0a9cutWjRQvHx8Tp06FCx7Q8cOKBOnTqpRYsW2rVrl5599lkNHz5cH3zwwTWOHPj7ysrKUqNGjTRr1qwStefnEihbbBUCp9a0aVPdcsstmjNnjv1cvXr11K1bNyUmJhZpP2bMGH3yySfav3+//dzgwYP1zTffaMuWLdckZuB6YrPZtGLFCnXr1u2Sbfi5BMoWlTc4rZycHO3YsUMdOnQwne/QoYM2b95c7D1btmwp0r5jx47avn27cnNzHRYrgEvj5xIoWyRvcFpHjx5Vfn6+QkNDTedDQ0OVnp5e7D3p6enFts/Ly9PRo0cdFiuAS+PnEihbJG9wejabzfTaMIwi567UvrjzAK4dfi6BskPyBqcVHBwsV1fXIlW2jIyMIn+LLxQWFlZsezc3NwUFBTksVgCXxs8lULZI3uC0PDw8FBMTo6SkJNP5pKQkNW/evNh74uLiirRfu3atYmNj5e7u7rBYAVwaP5dA2SJ5g1MbOXKk3n77bc2fP1/79+/XU089pUOHDmnw4MGSpLFjx+rhhx+2tx88eLAOHjyokSNHav/+/Zo/f77mzZun0aNHl9cjAH87Z86c0e7du7V7925JF7YC2b17t30LH34uAcdyK+8AgMvp1auXjh07pueff15paWmKjo7WqlWrVLVqVUlSWlqaac+36tWra9WqVXrqqaf0+uuvKyIiQq+99pp69OhRXo8A/O1s375drVu3tr8eOXKkJKlv375auHAhP5eAg7HPGwAAgIUwbAoAAGAhJG8AAAAWQvIGAABgISRvAAAAFkLyBgAAYCEkbwAAABZC8gYAAGAhJG8AAAAWQvIGoFQSEhJ0880321/369dP3bp1u+ZxpKSkyGaz2b+iqTjVqlXTjBkzStznwoULdcMNN/zl2Gw2mz766KO/3A8AFIfkDfgb6Nevn2w2m2w2m9zd3VWjRg2NHj1aWVlZDn/vV199VQsXLixR25IkXACAy+O7TYG/iTvvvFMLFixQbm6uvvjiCw0YMEBZWVmaM2dOkba5ublyd3cvk/cNCAgok34AACVD5Q34m/D09FRYWJgiIyPVp08fPfDAA/ahu8Khzvnz56tGjRry9PSUYRg6deqUHnvsMYWEhMjf319t2rTRN998Y+r3pZdeUmhoqPz8/NS/f3+dP3/edP3iYdOCggJNmTJFtWrVkqenp6pUqaIXX3xR0oUvKJekxo0by2azqVWrVvb7FixYoHr16snLy0t169bV7NmzTe/z9ddfq3HjxvLy8lJsbKx27dpV6s9o2rRpatCggXx9fRUZGakhQ4bozJkzRdp99NFHioqKkpeXl9q3b6/U1FTT9ZUrVyomJkZeXl6qUaOGnnvuOeXl5ZU6HgC4GiRvwN+Ut7e3cnNz7a9/+uknvf/++/rggw/sw5Z33XWX0tPTtWrVKu3YsUO33HKL2rZtq+PHj0uS3n//fU2cOFEvvviitm/frvDw8CJJ1cXGjh2rKVOmaPz48fruu++0dOlShYaGSrqQgEnSunXrlJaWpg8//FCS9NZbb2ncuHF68cUXtX//fk2ePFnjx4/XokWLJElZWVnq3Lmz6tSpox07dighIUGjR48u9Wfi4uKi1157TXv37tWiRYu0fv16PfPMM6Y2Z8+e1YsvvqhFixbpyy+/VGZmpnr37m2/vmbNGj344IMaPny4vvvuO73xxhtauHChPUEFAIczAFhe3759ja5du9pff/XVV0ZQUJDRs2dPwzAMY+LEiYa7u7uRkZFhb/P5558b/v7+xvnz50191axZ03jjjTcMwzCMuLg4Y/DgwabrTZs2NRo1alTse2dmZhqenp7GW2+9VWycBw4cMCQZu3btMp2PjIw0li5dajr3wgsvGHFxcYZhGMYbb7xhBAYGGllZWfbrc+bMKbavP6tataoxffr0S15///33jaCgIPvrBQsWGJKMrVu32s/t37/fkGR89dVXhmEYRosWLYzJkyeb+lm8eLERHh5ufy3JWLFixSXfFwD+Cua8AX8T//73v1WhQgXl5eUpNzdXXbt21cyZM+3Xq1atqkqVKtlf79ixQ2fOnFFQUJCpn3Pnzunnn3+WJO3fv1+DBw82XY+Li9OGDRuKjWH//v3Kzs5W27ZtSxz3kSNHlJqaqv79+2vgwIH283l5efb5dPv371ejRo3k4+NjiqO0NmzYoMmTJ+u7775TZmam8vLydP78eWVlZcnX11eS5ObmptjYWPs9devW1Q033KD9+/fr1ltv1Y4dO7Rt2zZTpS0/P1/nz5/X2bNnTTECgCOQvAF/E61bt9acOXPk7u6uiIiIIgsSCpOTQgUFBQoPD9fGjRuL9HW122V4e3uX+p6CggJJF4ZOmzZtarrm6uoqSTIM46ri+bODBw+qU6dOGjx4sF544QUFBgZq06ZN6t+/v2l4Wbqw1cfFCs8VFBToueeeU/fu3Yu08fLy+stxAsCVkLwBfxO+vr6qVatWidvfcsstSk9Pl5ubm6pVq1Zsm3r16mnr1q16+OGH7ee2bt16yT5r164tb29vff755xowYECR6x4eHpIuVKoKhYaG6sYbb9Qvv/yiBx54oNh+69evr8WLF+vcuXP2BPFycRRn+/btysvL0yuvvCIXlwvTfd9///0i7fLy8rR9+3bdeuutkqQffvhBJ0+eVN26dSVd+Nx++OGHUn3WAFCWSN6A61S7du0UFxenbt26acqUKapTp45+++03rVq1St26dVNsbKyefPJJ9e3bV7Gxsbr99tv17rvvat++fapRo0axfXp5eWnMmDF65pln5OHhodtuu01HjhzRvn371L9/f4WEhMjb21urV69W5cqV5eXlpYCAACUkJGj48OHy9/dXfHy8srOztX37dp04cUIjR45Unz59NG7cOPXv31//+Mc/lJKSopdffrlUz1uzZk3l5eVp5syZ6tKli7788kvNnTu3SDt3d3cNGzZMr732mtzd3fXEE0+oWbNm9mRuwoQJ6ty5syIjI3XffffJxcVF3377rfbs2aNJkyaV/j8EAJQSq02B65TNZtOqVat0xx136NFHH1VUVJR69+6tlJQU++rQXr16acKECRozZoxiYmJ08OBBPf7445ftd/z48Ro1apQmTJigevXqqVevXsrIyJB0YT7Za6+9pjfeeEMRERHq2rWrJGnAgAF6++23tXDhQjVo0EAtW7bUwoUL7VuLVKhQQStXrtR3332nxo0ba9y4cZoyZUqpnvfmm2/WtGnTNGXKFEVHR+vdd99VYmJikXY+Pj4aM2aM+vTpo7i4OHl7e2vZsmX26x07dtS///1vJSUlqUmTJmrWrJmmTZumqlWrlioeALhaNqMsJpMAAADgmqDyBgAAYCEkbwAAABZC8gYAAGAhJG8AAAAWQvIGAABgISRvAAAAFkLyBgAAYCEkbwAAABZC8gYAAGAhJG8AAAAWQvIGAABgIf8fcQWFnTtO+MUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier,  AdaBoostClassifier, BaggingClassifier, VotingClassifier\n",
    "from sklearn.metrics import accuracy_score, precision_score, recall_score, f1_score\n",
    "from sklearn.metrics import roc_curve, auc, confusion_matrix, roc_auc_score\n",
    "from sklearn.metrics import ConfusionMatrixDisplay\n",
    "import matplotlib.pyplot as plt\n",
    "# Initializing base models\n",
    "random_forest_model = RandomForestClassifier(n_estimators=50,random_state=42)\n",
    "adaboost_model = AdaBoostClassifier(n_estimators=25,random_state=42)\n",
    "bagging_model = BaggingClassifier(n_estimators=25,random_state=42)\n",
    "\n",
    "# Training and evaluating each model\n",
    "for model in [random_forest_model,adaboost_model,bagging_model]:\n",
    "    # Training each model\n",
    "    model.fit(X_train, y_train)\n",
    "    y_pred = model.predict(X_test)\n",
    "    y_proba = model.predict_proba(X_test)[:, 1]\n",
    "    \n",
    "    #evaluation matrices of each model\n",
    "    accuracy = accuracy_score(y_test, y_pred)\n",
    "    precision = precision_score(y_test, y_pred)\n",
    "    recall = recall_score(y_test, y_pred)\n",
    "    f1 = f1_score(y_test, y_pred)\n",
    "    \n",
    "    #Confusion Matrix of each model\n",
    "    conf_matrix = confusion_matrix(y_test, y_pred)\n",
    "\n",
    "    print(f\"Model: {model.__class__.__name__}\")\n",
    "    print(f\"Accuracy: {accuracy:.5f}\")\n",
    "    print(f\"Precision: {precision:.5f}\")\n",
    "    print(f\"Recall: {recall:.5f}\")\n",
    "    print(f\"F1 Score: {f1:.5f}\")\n",
    "    print(f\"Confusion Matrix:\\n{conf_matrix}\")\n",
    "    disp = ConfusionMatrixDisplay(confusion_matrix=conf_matrix, display_labels=model.classes_)\n",
    "    fig, ax = plt.subplots(figsize=(8, 6))\n",
    "    disp.plot(cmap=plt.cm.Blues, values_format='.0f', ax=ax)\n",
    "    ax.set_title(f'Confusion Matrix of {model.__class__.__name__}')\n",
    "    \n",
    "    #ROC-AUC Curve\n",
    "    fpr, tpr, thresholds = roc_curve(y_test, y_proba)\n",
    "    roc_auc = roc_auc_score(y_test, y_proba)\n",
    "\n",
    "    # Plotting ROC-AUC Curve\n",
    "    plt.figure()\n",
    "    colors = plt.cm.rainbow(np.linspace(0, 1, len(model)))\n",
    "    plt.plot(fpr, tpr, color='darkorange', lw=2, label='ROC curve (area = {:.2f})'.format(roc_auc))\n",
    "    plt.fill_between(fpr, tpr, color='lightcoral', alpha=0.3, label='Area under ROC')\n",
    "    plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--')\n",
    "    plt.xlabel('False Positive Rate (FPR)')\n",
    "    plt.ylabel('True Positive Rate (TPR)')\n",
    "    plt.title(f'ROC-AUC Curve of {model.__class__.__name__}')\n",
    "    plt.legend(loc=\"lower right\")\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c6b7254a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Voting Classifier:\n",
      "Accuracy: 0.98601\n",
      "Precision: 0.97750\n",
      "Recall: 0.99491\n",
      "F1 Score: 0.98613\n",
      "Confusion Matrix:\n",
      "[[384   9]\n",
      " [  2 391]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WrFCZvmnTJuW4KnXJ5XLh4OAgKlWqJBQKhbL906dPwtraWtSsWVPZlpExN+mZN63tr1u3bor38UvJ40yioqKEEEIUL15cNGvW7Juvmda/i+SxUu/fv1dp79WrlzA0NFQ+/9aYm4YNG6Z4reT3PDIyUpiZmYkhQ4Z8M2dq0tq36d2mo0ePpjquaOfOnQKAWLlypRBCiHv37qV7zE3//v2Fvb29+PDhwzfzg2NucjX23FCOZm5ujokTJ2LcuHHYsmULunfvDgDw8fHBw4cP0b17d5w5cwYtWrSATCbDxYsXMXfuXBgbG2P37t3Ka9wkL/Ps2TP07t0bR48eRZs2bWBjY4OQkBD4+vpi7dq12LZtW5qnWh8+fBiBgYGYNWtWqqcXlytXDkuWLMHq1auV4wxmzpyJ+vXrw83NDSNHjkThwoXx8uVLLFiwAG/fvsW2bdtU1vG9GYGkQ3tNmjRB06ZN0bdvXzRt2hTm5uYICgrCgQMHsHXrVly9ehWFCxdGs2bNYGFhgX79+mHatGnQ0dHBunXr8OrVK3XfKvTt2xezZs1C165doa+vn+I0/c6dO2Pz5s1o1qwZRowYgWrVqkFXVxevX7/GyZMn0apVK7Rp0ybVdWtpaWH27Nno1q0bfvjhBwwaNAhxcXGYM2cOwsLCMHPmTLXzfu7x48e4ePFiivaCBQuiYMGCaq2revXq+OGHH1ChQgWYm5vj/v372Lhxo/IUdgBYsWIFmjZtCk9PT/Tu3RsODg748OED7t+/j2vXrn33mXdf0tbWRuPGjeHl5QWFQoFZs2YhIiICU6dOTXMZIyMjLF68GL169cKHDx/Qvn17WFtb4/3797h58ybev3+PZcuWZWrOzzVu3Bienp4YP348IiIiULNmTdy6dQve3t5wcXFBjx49ACT19nbv3h0LFiyArq4uGjVqhDt37mDu3LkwMTFRWee0adPg6+sLd3d3DB8+HCVLlkRsbCyeP3+OQ4cOYfny5Wq/35RDabq6IhIi7V9zQvzXy1G8eHGVnpj4+Hjx559/iurVqwsjIyMhk8lEyZIlxbhx40RISEiqr5OYmCjWr18vGjRoICwsLISOjo4oUKCAaNq0qdiyZYtK79CXWrduLaRSqXj37l2a83Tu3Fno6OiI4OBgZduVK1dEmzZthJWVldDW1hZWVlaiTZs24urVq5meMVlMTIxYtGiRcHNzEyYmJkJHR0fY29uLtm3bioMHD6rMe/nyZeHu7i4MDQ2Fg4OD8Pb2FqtWrVK750YIIdzd3QUA0a1bt1SnJyQkiLlz54qKFSsKPT09YWRkJEqVKiUGDRokHj9+/M3t2rdvn6hevbrQ09MThoaGomHDhuL8+fMq82Tm2VKTJ0/+5vZ/2XMzYcIE4erqKszNzYVMJhNFihQRo0aNSvE3efPmTdGxY0dhbW0tdHV1ha2trWjQoIHyLDwhMq/nZtasWWLq1KmiYMGCQiqVChcXF3H06FGVZVM7Q04IIU6fPi2aN28uLCwshK6urnBwcBDNmzf/5v793p4bIZL+jsePHy8cHR2Frq6usLOzE0OGDBEfP35UWTYuLk6MHj1aWFtbCz09PVGjRg1x4cIF4ejoqNJzI4QQ79+/F8OHDxfOzs5CV1dXWFhYiCpVqojJkyeLT58+KecDe25yNYkQQmRzPUVERESUZXi2FBEREeUpLG6IiIgoT2FxQ0RERHkKixsiIiLKU1jcEBERUZ7C4oaIiIjylHx3ET+FQoHAwEAYGxtn+KaKRERElL2EEIiMjIS9vb3KDXRTk++Km8DAQOXNFImIiCh3efXq1TevJJ3vipvkm/O9evUqxaW5iYiIKGeKiIhAoUKFvnqT3WT5rrhJPhRlYmLC4oaIiCiXSc+QEg4oJiIiojyFxQ0RERHlKSxuiIiIKE9hcUNERER5CosbIiIiylNY3BAREVGewuKGiIiI8hQWN0RERJSnsLghIiKiPIXFDREREeUpGi1uzpw5gxYtWsDe3h4SiQT79u375jKnT59GlSpVoKenhyJFimD58uVZH5SIiIhyDY0WN1FRUahYsSKWLFmSrvkDAgLQrFkz1K5dG9evX8ekSZMwfPhw7N69O4uTEhERUW6h0RtnNm3aFE2bNk33/MuXL0fhwoWxYMECAEDp0qVx5coVzJ07F+3atcuilERERJQe8fFySCSArq62RnPkqruCX7hwAR4eHiptnp6eWL16NRISEqCrq5timbi4OMTFxSmfR0REZHnOXOXhTojzU4D4SE0nISKiXOx5qBG6rGqIWsWCMafdZUiMbIHuVzSSJVcVN8HBwbCxsVFps7GxQWJiIkJCQmBnZ5dimRkzZmDq1KnZFTF9clBBIYkKxLdvHk9ERJS2d5GGqDy7B8Ji9HHpuQ3qF76DZlWDNfb9kquKGwCQSFR3lRAi1fZkEydOhJeXl/J5REQEChUqlHUBv+XhTuCfjjmyoBAya01HICKiXKiADOhR7TEWn66AIlbhsLaQAgbGGsuTq4obW1tbBAcHq7S9e/cOOjo6sLS0THUZmUwGmUyWHfG+7v+9NZKPD1Wac0RBoWMIeckREPZNNJ2EiIhyqel15dBfcgdjehWDiW4XoHx5jWXJVcWNm5sbDhw4oNJ27NgxuLq6pjreJsdIo7cmsfICFhRERJTr7Dz8EvEJCnRr6aRsk0m18btXRYj4eIhYuebCQcPFzadPn/DkyRPl84CAANy4cQMWFhYoXLgwJk6ciDdv3mDDhg0AgMGDB2PJkiXw8vLCgAEDcOHCBaxevRpbt27V1Cakizg/RaWwEYbO7CkhIqJcJzZOjjEzruOvbU+gr6eNSqXNUba4qaZjpaDR69xcuXIFLi4ucHFxAQB4eXnBxcUFv/zyCwAgKCgIL1++VM7v7OyMQ4cO4dSpU6hUqRJ+++03LFq0KOefBv7ZwOHEyguQWP8wCxsiIspVHgVEoFYnX/y1LalTIiZWju0HX2g4VeokInlEbj4REREBU1NThIeHw8TEJFteUyx3gCQqEEJmjcTGZ7LlNYmIiDLL1gPPMcz7Cj5FJwIA9GTaWDilMnq3K5LyRJ/4eIjYWEjLl4dETy/TMqjz/Z2rxtwQERFR9omOSYTX9GtYs/OZsq1kERNsXeCOciXMNBfsG1jcEBERUQr3n4aj60g/3H0crmzr0doJi35xhaFBzi4fcna63OzzC/VFB397fiIiohxCLlegw4/n8Cggacyogb42Fv3iip5tnDWcLH00OqA4L0u+po0kKhASoUhq1DHUbCgiIqJ00NbWwvLfqkJLS4KyxU3ht9Mj1xQ2AHtuss7/z5AS0AJkVsoL5REREeVEQgiVwcG1XK2xd1lt1K1mDQP93FUu5K60uZHMimdIERFRjiWEwNpdz3DodCB2LKoFLa3/Cpymde01mCzjeFiKiIgon4r8lIBeYy9i8BR/7P/3DeasvK/pSJmCPTdERET50I37H9F1pB+evPjvQrPB72NSHJ7KjVjcEBER5SNCCPy17QnGzLiOuPikE15MjHSx7Leq6NC0sIbTZQ4WN0RERPlEeGQ8Bk/xx+4jr5RtlcuaY/N8dxQtbKzBZJmLxQ0REVE+cPX2B3TzOo9nr6KUbT/2KIEZYytCJtXWYLLMx+ImKzzcCUlUoKZTEBERKa3c8URZ2JiZ6OKvP6qjdeOCGk6VNVjcZAFxfgqUQ7F44T4iIsoB5k2sDL9rITA21MFmH3c4FTTSdKQsw+ImK8T/N/KcF+4jIiJNiPyUAGMjXeVzQwMdHFxVFzaWepDmscNQX+J1brKQkFlD2DfRdAwiIspHhBCYv+YBSjb+B09fRqpMK2RnmOcLG4DFDRERUZ4R+jEObYacxfjZNxDyMQ7dRvkhLl6u6VjZjoeliIiI8gC/a+/R3csPr4NjlG0N3W2hlcsvyJcRLG6IiIhyMYVCYO6q+/BeeBtyuQAAWJnLsHZ2DXjWttNwOs1gcUNERJRLvQuNRd/xF3HsXLCyrU7VAtgw1x32NvoaTKZZLG6IiIhyoXNX3qHbKD8EvY8FAEgkwMQhZfHz0LLQ0cnfQ2pZ3BAREeVCUTFyZWFjY6WHdbNroKG7rYZT5QwsboiIiHIhz9p2GDOgNK7d+YB1s2vAtkD+PQz1JRY3REREucCN+x9RsZQZJJ+d/TRtRHlIJIC2dv4+DPUl7g0iIqIcTC5XYOqi26je9iiWbX6sMk1HR4uFTSq4R4iIiHKowLcx8Ox9En8svQshgHGzbuDBswhNx8rxeFiKiIgoBzp2Ngi9x11EyMc4AIC2tgS//FQOJZyMNZws52NxQ0RElIMkJirgvfA25qy8r2wraKuPjfPcUbNKAQ0myz1Y3BAREeUQr4Ki0GP0BfhdC1G2Natrj9Uzq8PSXKbBZLkLixsiIqIcwP9WKFoMOI0P4fEAAB0dCf7wqogRvUtCSyv/3R/qe7C4ISIiygGKOxnD1FgXH8Lj4WhvgE0+7qheyUrTsXIlni1FRESUA5iZSLF5vjvaNy2Ey3ubsLD5DixuiIiINODAiTd48zZapc21vCW2zK8Jc1OphlLlDSxuMtvDnZBEBWo6BRER5VBx8XKMnn4N7YaeRY/RF5CYqNB0pDyHxU0mE+en/PdEx1BzQYiIKMd59uoT6nb5F4s3PAIAnLvyHjsPv9RwqryHA4ozW3yk8n/lJUdoMAgREeUku4+8wqCfLyPiUwIAQCbVwtyJLuj8g6OGk+U9LG6yiJBZQ9g30XQMIiLSsNg4OcbOvI4VW58o24o5GmPLAndUKm2uwWR5F4sbIiKiLPL4eSS6jjqPm/fDlG2dmhfG0qlVYWykq7lgeRyLGyIioizw5m00arQ7isioRACAnkwbC36ujD7ti0Ai4UX5shIHFBMREWUBBxsDdGvlBAAoWcQE53c0Rt8ORVnYZAP23BAREWWR2eNdYGkmw+h+pWBkyMNQ2YXFDRERUSbYuC8A2toSdG3hpGzTk2nDe3h5zYXKp1jcEBERfYeo6ESM+O0qNuwNgIG+NlzKmKN0UVNNx8rXOOaGiIgog+48CoNbh2PYsDcAABAdI8feY681nIrYc0NERKQmIQTW7X6Gkb9fQ0ysHABgaKCDP6e6qhyWIs1gcUNERKSGyE8J+HHqFWw98ELZVqGUGbbMd0cJZxMNJqNkLG6IiIjS6eaDj+g60g+Pn/93q52BnYthzoRK0NfjV2pOwXeCiIgoHRITFej00zk8exUFADA21MHy36uhQ9PCGk5GX+KAYiIionTQ0dHCX39Uh5aWBC5lzHF5rycLmxyKPTdERERpEEKoXFG4TjVr7F9RB3WrW0Mm1dZgMvoa9twQERF9QQiBPzc+QoefzkGhECrTPGrbsbDJ4dhzQ0RE9JmwiHgMnHwZ+3yTrlfjs+YBxvQvreFUpA4WN0RERP/nfysU3Ub54fmbKGVbaFicBhNRRrC4ISKifE8IgYXrHmLSvJtITEw6DGVuKsXqGdXxQwMHDacjdbG4ISKifO1DWBz6TbyEgycDlW1uLlbYOM8Nhe0NNZiMMorFDRER5VsXroWg+2g/vAqKVraNGVAaU4eXh64uz7nJrVjcZKaHOyGJCvz2fERElCOs3vlUWdhYmcuwZlZ1NKljr+FU9L00XpYuXboUzs7O0NPTQ5UqVXD27Nmvzr9582ZUrFgRBgYGsLOzQ58+fRAaGppNab9OnJ/y3xMddmUSEeV0C36ujBLOxqjlWgD++zxZ2OQRGi1utm/fjpEjR2Ly5Mm4fv06ateujaZNm+Lly5epzn/u3Dn07NkT/fr1w927d7Fz5074+/ujf//+2Zw8DfH/3WtEXnKEBoMQEVFqwiPjVZ4bGeri6Lr6OLauPhxsDDSUijKbRosbHx8f9OvXD/3790fp0qWxYMECFCpUCMuWLUt1/osXL8LJyQnDhw+Hs7MzatWqhUGDBuHKlSvZnPzrhMwawr6JpmMQEdH/yeUKTF92F6Ua/4OA159UpjnYGEBHR+MHMigTaezdjI+Px9WrV+Hh4aHS7uHhAT8/v1SXcXd3x+vXr3Ho0CEIIfD27Vvs2rULzZs3T/N14uLiEBERofIgIqL8421ILH4YcBq/LryN0LB4dBvlh/h4uaZjURbSWHETEhICuVwOGxsblXYbGxsEBwenuoy7uzs2b96MTp06QSqVwtbWFmZmZli8eHGarzNjxgyYmpoqH4UKFcrU7SAiopzr5MW3qNrmCI77vQUAaGlJ0KyePbS1Jd9YknIzjffDfX5DMiDlTco+d+/ePQwfPhy//PILrl69iiNHjiAgIACDBw9Oc/0TJ05EeHi48vHq1atMzU9ERDmPXK7A1EW30aTPSQS/jwUA2BXQw9G19fDzsHLQ1tb41x9lIY2dCm5lZQVtbe0UvTTv3r1L0ZuTbMaMGahZsybGjh0LAKhQoQIMDQ1Ru3Zt/P7777Czs0uxjEwmg0wmy/wNICKiHCnwbQx6jb2A05ffKdsa17TF2tk1YG2pp8FklF00VrpKpVJUqVIFvr6+Ku2+vr5wd3dPdZno6GhoaalG1tZOujOrECK1RYiIKB857heMqm2OKAsbbW0JfhtVAQdW1mVhk49o9CJ+Xl5e6NGjB1xdXeHm5oa//voLL1++VB5mmjhxIt68eYMNGzYAAFq0aIEBAwZg2bJl8PT0RFBQEEaOHIlq1arB3p7XJiAiyu/i4hV4/yHpRpcONvrY5OOOmlUKaDgVZTeNFjedOnVCaGgopk2bhqCgIJQrVw6HDh2Co6MjACAoKEjlmje9e/dGZGQklixZgtGjR8PMzAwNGjTArFmzNLUJRESUgzSrZw+vvqVw/2k4Vs+sAStzDkvIjyQinx3PiYiIgKmpKcLDw2FiYpKp6xbLHSCJCoSQWSOx8ZlMXTcREaV09fYHVC5nrnIiSmKiAlpaEmhp8YwoTRDx8RCxsZCWLw+JXuYdClTn+5vDxYmIKNdJSFBgwuwbcOtwDCu3P1WZpqOjxcImn2NxQ0REucqLN1Fo0P04fNY8AACMnn4NT15EfmMpyk94V3AiIso19h9/jf4TLyEsIgEAoKurheljKqJoYSMNJ6OchMUNERHlePHxckycexOLNzxStjkXNMTm+e5wLW+pwWSUE7G4ISKiHO3Zq0/oNsoPV+98ULa18SiIFb9Xg5mJVIPJKKdicUNERDnW+avv0WrQGUR8SjoMJdXVwtyJLhjUpViat+ohYnFDREQ5VplipjA30UXEpwQUczTC5vk14VLGXNOxKIfj2VJERJRjmZtKsXl+TXRt6YiLuz1Z2FC6sOeGiIhyjJ2HX6JWlQKws9ZXtlWraIlqFd00mIpyG/bcEBGRxsXEJmLIlMvoNsoPvcZegFyu0HQkysVY3BARkUY9eBaBmh19sXrnMwDAqUvvsP/4Gw2notyMxQ0REWnMpr8D4Nb+GO48CgcA6OtpY9X0amjjUUjDySg3++4xN3FxcZDJeNdVIiJKv6joRIz8/SrW7wlQtpUpboot891RppipBpNRXqB2z83Ro0fRu3dvFC1aFLq6ujAwMICxsTHq1q2LP/74A4GBgVmRk4iI8oi7j8Ph3vGYSmHTp30R+O1ozMKGMkW6i5t9+/ahZMmS6NWrF7S0tDB27Fjs2bMHR48exerVq1G3bl38+++/KFKkCAYPHoz3799nZW4iIsqFXryJgnuHY7j/JAIAYGigg3VzamDF79VgoM8TeClzpPsvafr06Zg7dy6aN28OLa2UNVHHjh0BAG/evMHChQuxYcMGjB49OvOSEhFRrufoYIjurZywcvtTlC9phi3z3VGyiImmY1Eek+7i5vLly+maz8HBAbNnz85wICIiytvmTnSBvY0+vPqWgr4ee2so82X62VL+/v6ZvUoiIsqFhBBYue0Jtv3zQqVdX08Hk4eWY2FDWSZDf1mfPn2CtrY29PX/u4LkjRs3MGXKFBw6dAhyuTzTAhIRUe4T8SkBQ37xx85DL2FooIPKZc1RwpmHnyh7qNVz8/r1a9SsWROmpqYwNTWFl5cXoqOj0bNnT1StWhUymQznzp3LqqxERJQLXL/7AdXbHsXOQy8BJJ32ffAkz6Sl7KNWz82ECRPw6dMnLFy4ELt378bChQtx+vRpVKxYEY8ePYKzs3NW5SQiohxOCIFlmx9j3KwbiE9Iun2CqbEu/vqDF+Wj7KVWcXPy5Ens2LEDNWvWRPv27WFvb48OHTpgwoQJWZWPiIhygbCIeAycfBn7fF8r21zLW2DzfHc4FzTSYDLKj9QqboKDg1G0aFEAgK2tLfT19dGqVassCUZERLmD/61QdBvlh+dvopRtI3qVxB+jK0Aq1dZgMsqv1B5QrK393x+qlpYW9PT0MjUQERHlHvHxcnQecR6vgqIBAOamUqyaUR0tGjhoOBnlZ2oVN0IINGzYEDo6SYvFxMSgRYsWkEqlKvNdu3Yt8xISEVGOJZVqY+X0amja9xSqV7TEJh93FLY31HQsyufUKm68vb1VnvOQFBFR/iOEgEQiUT5v4GaLg6vqoW41a+jqZvrl04jU9l3FDRER5R8KhYDPmge4dDMUOxbVVClwGtW01WAyIlVqj7m5dOkS9u/fj4SEBDRq1AgeHh5ZkYuIiHKQ9x9i0W/CJRw5EwQAWLjuIUb2KaXhVESpU6u42bt3Lzp06AA9PT3o6Ohg3rx5mDdvHkaOHJlF8YiISNPOXXmH7l4XEPguBgAgkQCRUYkaTkWUNrUOjk6fPh29e/dGWFgYwsLCMHXqVPz+++9ZlY2IiDRIoRCYsfwuGvU8qSxsrC1lOLiqHqb8WE7D6YjSplZx8/DhQ4wbN055ttTYsWMRFhaGkJCQLAlHRESa8TYkFj/0PwXvBbehUAgAQL3q1vDf24TjayjHU6u4+fTpE8zMzJTPZTIZ9PX1ERERkdm5iIhIQ05efIuqbY7gX7+3AJIOQ035sRwOr6kHO2v9byxNpHlqDyg+evQoTE1Nlc8VCgWOHz+OO3fuKNtatmyZOemIiCjbrdv9DMHvYwEAtgX0sGGOG+rVsNFwKqL0U7u46dWrV4q2QYMGKf9fIpFALpd/XyoiItKYxd6u8L8VCicHQ6yb4wZrS16JnnIXtYobhUKRVTmIiEhDPobHw9z0vyvNmxjp4t8NDWFbQA9aWpKvLEmUM6k15qZv376IjIzMqixERJSNEhMV+GXBLZTx/AcvPrvpJQDY2+izsKFcS63iZv369YiJicmqLERElE1eB0fDo/dJzFx+D6Fh8eju5YeEBPbOU96g9o0ziYgodzt8OhB9x19EaFg8AEBbW4LWHgWhrc2eGsob1B5Q/Pm9RIiIKPdISFBgyoJb8Fn9QNlW2N4Am+a5o4aLlQaTEWUutYubEiVKfLPA+fDhQ4YDERFR5nsZGIXuXn64eCNU2fZDAwesml4NFmYyDSYjynxqFzdTp05Vuc4NERHlbIdOBaLP+Iv4GJ50GEpXVwszxlTETz2//WOVKDdSu7jp3LkzrK2tsyILERFlgUS5QlnYOBc0xOb57nAtb6nhVERZR63ihhU+EVHu07JhQQzvVQKvgqKx4vdqMDORfnsholyMZ0sREeUxl2+GomoFC5UfpDPHVoK2toQ/UilfUOs6NwqFgoekiIhyqNg4OUb+dhW1Ovlizc5nKtN0dLRY2FC+ke7iZvDgwXj16lW65t2+fTs2b96c4VBERKSeJy8iUafLv1i6+TEAYNQf1/D89ScNpyLSjHQflipQoADKlSsHd3d3tGzZEq6urrC3t4eenh4+fvyIe/fu4dy5c9i2bRscHBzw119/ZWVuIiL6vx2HXmLIlMuIjEoEAMikWvCZ5AJHB0MNJyPSjHQXN7/99ht++uknrF69GsuXL8edO3dUphsbG6NRo0ZYtWoVPDw8Mj0oERGpiolNxOjp17Fqx1NlWwlnY2xZUBMVSpppLhiRhqk1oNja2hoTJ07ExIkTERYWhhcvXiAmJgZWVlYoWrQoj+cSEWWTh88i0HWUH24/DFO2dW3piCXerjAy1NVcMKIcQO3r3CQzMzODmZlZJkYhIqL0OHnxLdoOPYuo6KTDUPp62lg0pQp6tnXmj0wifEdxQ0REmlGhpBksTKWIik5E6WIm2DK/JsoW55XjiZKxuCEiymUszWXYNM8d6/c+w7yJlWFowI9yos/xXwQRUQ4mhMDm/c/RyN0WtgX0le1ula3gVpl38iZKjVoX8SMiouzzKSoBfSdcQt/xl9B73EXI5QpNRyLKFTJc3CQmJuLff//FihUrEBkZCQAIDAzEp0+8aBQR0fe69TAMNdofw+a/nwMATlx4iyNngjQbiiiXyNBhqRcvXqBJkyZ4+fIl4uLi0LhxYxgbG2P27NmIjY3F8uXLMzsnEVG+IITA6h1P4TX9OmLj5AAAIwMdLPutKprXd9BwOqLcIUM9NyNGjICrqys+fvwIff3/jgG3adMGx48fV2tdS5cuhbOzM/T09FClShWcPXv2q/PHxcVh8uTJcHR0hEwmQ9GiRbFmzZqMbAYRUY4S8SkBPUZfwFDvK8rCplIZc1za44lOzR01nI4o98hQz825c+dw/vx5SKVSlXZHR0e8efMm3evZvn07Ro4ciaVLl6JmzZpYsWIFmjZtinv37qFw4cKpLtOxY0e8ffsWq1evRrFixfDu3TskJiZmZDOIiHKM6/c+otuo83jy4r9D+0O6Fses8ZWgJ9PWYDKi3CdDxY1CoYBcLk/R/vr1axgbG6d7PT4+PujXrx/69+8PAFiwYAGOHj2KZcuWYcaMGSnmP3LkCE6fPo1nz57BwsICAODk5JSRTSAiyjGevIhE7U6+iE9IGjBsaqyLFb9XQ1vPQhpORpQ7ZeiwVOPGjbFgwQLlc4lEgk+fPsHb2xvNmjVL1zri4+Nx9erVFPeh8vDwgJ+fX6rL7N+/H66urpg9ezYcHBxQokQJjBkzBjExMWm+TlxcHCIiIlQeREQ5STFHY3Rr5QQAcC1vgUt7PFnYEH2HDPXczJ8/H/Xr10eZMmUQGxuLrl274vHjx7CyssLWrVvTtY6QkBDI5XLY2NiotNvY2CA4ODjVZZ49e4Zz585BT08Pe/fuRUhICIYOHYoPHz6kOe5mxowZmDp1qnobSESUzeZProyihY0wsndJSKU8DEX0PTJU3Njb2+PGjRvYtm0brl69CoVCgX79+qFbt24qA4zT48v7oAgh0rw3ikKhgEQiwebNm2FqmnSpcR8fH7Rv3x5//vlnqq89ceJEeHl5KZ9HRESgUCH+IiIizRBCYMnGR7Cx0kfHZv+NLTTQ18G4gWU0mIwo78hQcXPmzBm4u7ujT58+6NOnj7I9MTERZ86cQZ06db65DisrK2hra6fopXn37l2K3pxkdnZ2cHBwUBY2AFC6dGkIIfD69WsUL148xTIymQwymSy9m0ZElGU+hMVhwOTLOHD8DYwMdOBSxhzFndI/TpGI0idDY27q16+PDx8+pGgPDw9H/fr107UOqVSKKlWqwNfXV6Xd19cX7u7uqS5Ts2bNFBcKfPToEbS0tFCwYEE1toCIKHtduhGCam2P4sDxpDNKP0UnwvccL8pHlBUyVNykdegoNDQUhoaG6V6Pl5cXVq1ahTVr1uD+/fsYNWoUXr58icGDBwNIOqTUs2dP5fxdu3aFpaUl+vTpg3v37uHMmTMYO3Ys+vbtq/bhMCKi7KBQCMxbfR/1ux/Hy8BoAIClmRT7ltfB0O4lNJyOKG9S67BU27ZtASSNk+ndu7fK4R65XI5bt26l2euSmk6dOiE0NBTTpk1DUFAQypUrh0OHDsHRMeliVUFBQXj58qVyfiMjI/j6+uKnn36Cq6srLC0t0bFjR/z+++/qbAYRUbYI+RiHfhMu4vDp/3poalaxwsZ57ihoa6DBZER5m1rFTfJYFyEEjI2NVXpLpFIpatSogQEDBqgVYOjQoRg6dGiq09atW5eirVSpUikOZRER5TTnrrxDj9EX8OZt0qUqJBJg3MAy8P6pHHR0eM9ioqykVnGzdu1aAEkXzhszZoxah6CIiPKL2Dg5untdQOC7pMKmgIUM62bXQONadhpORpQ/ZOjng7e3NwsbIqI06Mm0sWpGdUgkQN1q1vDf24SFDVE2ytCp4ACwa9cu7NixAy9fvkR8fLzKtGvXrn13MCKi3EShENDS+u9Ei0Y1bXFkbX3UqVoA2to8DEWUnTL0L27RokXo06cPrK2tcf36dVSrVg2WlpZ49uwZmjZtmtkZiYhyLLlcgd+W3EHnEechhFCZVr+GDQsbIg3I0L+6pUuX4q+//sKSJUsglUoxbtw4+Pr6Yvjw4QgPD8/sjEREOVLw+xg063cKvy25g32+r/HnxseajkREyGBx8/LlS+Up3/r6+oiMjAQA9OjRI933liIiys2O+wXDtfURnLz4DgCgpSVBbLxcw6mICMhgcWNra4vQ0FAAgKOjIy5evAgACAgISNEtS0SUlyQmKvDLglto1u8U3oXGAQDsrfXhu74+xvQvrdlwRAQggwOKGzRogAMHDqBy5cro168fRo0ahV27duHKlSvKC/0REeU1b95Go+foCzh75b2yrUkdO6yeWR0FLPQ0mIyIPpeh4uavv/6CQqEAAAwePBgWFhY4d+4cWrRoobx1AhFRXnLkTCD6jr+EkI9JvTXa2hL8NqoCvPqWUjlLiog0L0PFjZaWFrS0/jui1bFjR3Ts2BEA8ObNGzg4OGROOiKiHGLjvufKwqaQnQE2zXOHW2UrDaciotRk2jmKwcHB+Omnn1CsWLHMWiURUY6xdKorihQyRPP69ri8x5OFDVEOplZxExYWhm7duqFAgQKwt7fHokWLoFAo8Msvv6BIkSK4ePEi1qxZk1VZiYiyTej/e2mSmRpLcWpLI+xZWhuW5rI0liKinECtw1KTJk3CmTNn0KtXLxw5cgSjRo3CkSNHEBsbi8OHD6Nu3bpZlZOIKFvEx8sxed4tbN7/HJf3eqrcvdu2gP5XliSinEKtnpuDBw9i7dq1mDt3Lvbv3w8hBEqUKIETJ06wsCGiXC/g9SfU734cC9c/RMjHOHT38kNiokLTsYhITWr13AQGBqJMmTIAgCJFikBPTw/9+/fPkmBERNlp77FXGDj5MsIjEwAAUl0tdGxWGNraPBOKKLdRq7hRKBTQ1dVVPtfW1ubdwYkoV4uLl2P8rBtYuvm/WycULWyEzT7uqFzOQoPJiCij1CpuhBDo3bs3ZLKkwXSxsbEYPHhwigJnz549mZeQiCiLPHkRiW6j/HD93kdlW/umhbD8t2owMdL9ypJElJOpVdz06tVL5Xn37t0zNQwRUXbZe+wV+k+8hMioRACATKoFn0mV0b9TUUgkPBRFlJupVdysXbs2q3IQEWUriUSiLGyKOxljywJ3VCxlruFURJQZMnSFYiKi3K5144IY1r04PoTHY4m3K4x5GIooz2BxQ0T5gt+193BzsVI55DR3ogu0tCQ8DEWUx2Ta7ReIiHKi6JhEDJx8CfW6HseGPQEq07S1tVjYEOVBLG6IKM+69yQc7h19sW53UlEz/LerePM2WsOpiCirsbghojxpw55ncGt/DPcehwMADPS18edUVzjYGHxjSSLK7TJc3GzcuBE1a9aEvb09Xrx4AQBYsGAB/v7770wLR0Skrk9RCeg7/iL6T7qMmFg5AKBcCVNc3O2J7q2cNZyOiLJDhoqbZcuWwcvLC82aNUNYWBjk8qQPEDMzMyxYsCAz8xERpduth2Fw6+CLTX8/V7b171gU53c0RqkiJpoLRkTZKkPFzeLFi7Fy5UpMnjwZ2traynZXV1fcvn0708IREaXXkTOBqNXRFw+fRQAAjAx0sHGeG5ZOqwp9PZ4YSpSfZKi4CQgIgIuLS4p2mUyGqKio7w5FRKSuKuUsYGEqBQBULG2GS3s80am5o4ZTEZEmZKi4cXZ2xo0bN1K0Hz58WHnXcCKi7FTAQg+bfNwwpGtxnN3WGMWdjDUdiYg0JEN9tWPHjsWwYcMQGxsLIQQuX76MrVu3YsaMGVi1alVmZyQiUiGEwNpdz/BDAwdYW+op22u5WqOWq7UGkxFRTpCh4qZPnz5ITEzEuHHjEB0dja5du8LBwQELFy5E586dMzsjEZFSeGQ8Bv3sjz1HX6HxkVc4sLIutLR4IT4i+k+GR9kNGDAAAwYMQEhICBQKBayt+WuJiLLWlduh6DbKDwGvk8b2+Z4PxsmLb9HQ3VbDyYgoJ8nQmJupU6fi6dOnAAArKysWNkSUpYQQWLzhIep2Pa4sbMxMdLHrz1osbIgohQwVN7t370aJEiVQo0YNLFmyBO/fv8/sXEREAIAPYXFo/+M5jJ5+HQkJCgBA9YqW8N/bBC0bFtRwOiLKiTJU3Ny6dQu3bt1CgwYN4OPjAwcHBzRr1gxbtmxBdDTv20JEmePSjRBUa3sUB46/UbZ59S2FE5sawtHBUIPJiCgny/DtF8qWLYvp06fj2bNnOHnyJJydnTFy5EjY2rKLmIi+3/2n4ajf/TheBib9YLI0k2Lf8jqYOa4SdHV5WzwiSlumfEIYGhpCX18fUqkUCQkJmbFKIsrnShc1RZcfki7CV7OKFfz3NUGzevYaTkVEuUGGz5YKCAjAli1bsHnzZjx69Ah16tTBr7/+ig4dOmRmPiLKxxb94opyJczwU88S0NFhbw0RpU+Gihs3NzdcvnwZ5cuXR58+fZTXuSEiygiFQmD2X/dQ3MkE7ZoUUrYbGuhgVN9SGkxGRLlRhoqb+vXrY9WqVShbtmxm5yGifOZdaCz6jLsI3/PBMDHSRaUyZihamLdOIKKMy1BxM3369MzOQUT50OlLb9FzzAUEvY8FAERGJeD0pXcsbojou6S7uPHy8sJvv/0GQ0NDeHl5fXVeHx+f7w5GRHmXXK7AjOX38Pufd6FQCACAjZUe1s+pgQZuPOOSiL5Puoub69evK8+Eun79epYFIqK8Lfh9DHqNvYCTF98p2xq622DdbDfYWOl9ZUkiovRJd3Fz8uTJVP+fiCi9jvsFo9fYC3gXGgcA0NKS4JefymH8wNLQ1ubZUESUOTL0adK3b19ERkamaI+KikLfvn2/OxQR5T1R0YkqhY29tT6OrauPSUPKsrAhokyVoU+U9evXIyYmJkV7TEwMNmzY8N2hiCjvMTTQweqZNQAAnrXt4L/PE3Wq8aa7RJT51DpbKiIiAkIICCEQGRkJPb3/jo/L5XIcOnSIdwgnIiWFQkBLS6J87lnbDr7r66N2VWuVdiKizKRWcWNmZgaJRAKJRIISJUqkmC6RSDB16tRMC0dEuVNCggK/LLyFgFdR2LrAHRLJf4VM3eo2GkxGRPmBWsXNyZMnIYRAgwYNsHv3blhYWCinSaVSODo6wt6e934hys9eBkahx+gLuHA9BACwfMsTDOlWXMOpiCg/Uau4qVu3LoCk+0oVLlxY5dcYEdE/J96g/8RL+BAeDwDQ0ZFALhcaTkVE+U26i5tbt26hXLly0NLSQnh4OG7fvp3mvBUqVMiUcESUO8THy/Gzzy0sWPdQ2eZob4DN82uiWkVLDSYjovwo3cVNpUqVEBwcDGtra1SqVAkSiQRCpPxFJpFIIJfLMzUkEeVcAa8/obuXH/xvfVC2tWzkgJV/VIe5qVSDyYgov0p3cRMQEIACBQoo/5+IaJ/vawyYdAnhkUlXL5fqamHWuEoY2r04D1sTkcaku7hxdHRM9f+JKP/aeuC5srApUsgQW+bXROVyFt9Yiogoa2X4In4HDx5UPh83bhzMzMzg7u6OFy9eZFo4IsrZVvxeDU4OhmjftBAu7fFkYUNEOUKGipvp06dDX18fAHDhwgUsWbIEs2fPhpWVFUaNGpWpAYko53gXGqvy3MxEirPbG2OzjztMjTm+hohyhgwVN69evUKxYsUAAPv27UP79u0xcOBAzJgxA2fPnlVrXUuXLoWzszP09PRQpUqVdC9//vx56OjooFKlSurGJyI1xcQm4sdfr6DSD4fx5m20yjQbKz2OryGiHCVDxY2RkRFCQ0MBAMeOHUOjRo0AAHp6eqnecyot27dvx8iRIzF58mRcv34dtWvXRtOmTfHy5cuvLhceHo6ePXuiYcOGGYlPRGp4+CwCtTr9i7+2PUHIxzj0HH0BcrlC07GIiNKUoeKmcePG6N+/P/r3749Hjx6hefPmAIC7d+/Cyckp3evx8fFBv3790L9/f5QuXRoLFixAoUKFsGzZsq8uN2jQIHTt2hVubm4ZiU9E6bTlwHPUaH8Mtx+GAQD0ZNro3tqJ94UiohwtQ8XNn3/+CTc3N7x//x67d++GpWXSRbquXr2KLl26pGsd8fHxuHr1Kjw8PFTaPTw84Ofnl+Zya9euxdOnT+Ht7Z2R6ESUDtExiRj082X0HnsRUdGJAIBSRU3gt7Mx+rQvysNQRJSjqXX7hWRmZmZYsmRJinZ1bpoZEhICuVwOGxvVm+jZ2NggODg41WUeP36MCRMm4OzZs9DRSV/0uLg4xMXFKZ9HRESkOyNRfnT/aTi6jvTD3cfhyrYerZ2w6BdXGBpk6CODiChbZfiTKiwsDKtXr8b9+/chkUhQunRp9OvXD6ampmqt58tfgEKIVH8VyuVydO3aFVOnTk31juRpmTFjBu9UTpROWw88x5Bf/BEdk3SVcQN9bSz6xRU92zhrOBkRUfpl6LDUlStXULRoUcyfPx8fPnxASEgI5s+fj6JFi+LatWvpWoeVlRW0tbVT9NK8e/cuRW8OAERGRuLKlSv48ccfoaOjAx0dHUybNg03b96Ejo4OTpw4kerrTJw4EeHh4crHq1ev1N9gonxCV1dLWdiULW6KC7s8WNgQUa6ToZ6bUaNGoWXLlli5cqXy8FBiYiL69++PkSNH4syZM99ch1QqRZUqVeDr64s2bdoo2319fdGqVasU85uYmKS4WefSpUtx4sQJ7Nq1C87OqX8Ay2QyyGQydTaPKN9q36QwTnd5h4REBXwmVYaBPg9DEVHuk6FPritXrqgUNgCgo6ODcePGwdXVNd3r8fLyQo8ePeDq6go3Nzf89ddfePnyJQYPHgwgqdflzZs32LBhA7S0tFCuXDmV5a2traGnp5einYi+TQiBM5ffoW511Z7ShVOq8GwoIsrVMlTcmJiY4OXLlyhVqpRK+6tXr2BsbJzu9XTq1AmhoaGYNm0agoKCUK5cORw6dEh576qgoKBvXvOGiNQX+SkBQ739sf3gS6yaUV3l0BMLGyLK7SRCCKHuQsOHD8fevXsxd+5cuLu7QyKR4Ny5cxg7dizatWuHBQsWZEHUzBEREQFTU1OEh4fDxMQkU9ctljtAEhUIIbNGYuNvH5oj0oTr9z6i26jzePLiE4CkQcMPfVvAxkpPw8mIKC8Q8fEQsbGQli8PiV7mfa6o8/2doZ6buXPnQiKRoGfPnkhMTLoGhq6uLoYMGYKZM2dmZJVElMWEEFix9QnGzLiO+ISkKwybGOli2W9VWdgQUZ6SoeJGKpVi4cKFmDFjBp4+fQohBIoVKwYDA4PMzkdEmSA8Mh6DfvbHnqP/nS1Yuaw5Ns93R9HC6T+UTESUG6h1Knh0dDSGDRsGBwcHWFtbo3///rCzs0OFChVY2BDlUFdvf0C1NkdVCpsfe5TA6a2NWNgQUZ6kVs+Nt7c31q1bh27dukFPTw9bt27FkCFDsHPnzqzKR0TfYf/x1+gy0g8J/z8MZWaii5XTq6NVo4IaTkZElHXUKm727NmD1atXo3PnzgCA7t27o2bNmpDL5dDW1s6SgESUcTUqWcHKTIqg97GoVtESm+a5wamgkaZjERFlKbUOS7169Qq1a9dWPq9WrRp0dHQQGBiY6cGI6PtZW+phw1w3jOpTEic2NmBhQ0T5glrFjVwuh1QqVWnT0dFRnjFFRJqjUAgs2/wY7z/EqrTXrW6DWeNdIJWyd5WI8ge1DksJIdC7d2+V2xnExsZi8ODBMDQ0VLbt2bMn8xIS0TeFfoxDvwmXcOh0IA6fDsS+5XV4MT4iyrfUKm569eqVoq179+6ZFoaI1Hf+6nv0GO2H18ExAIAjZ4Jw/up71K5qreFkRESaoVZxs3bt2qzKQURqUigE5qy8j18X3YZcnnShcStzGdbNrsHChojyNd7ylygXehcaiz7jLsL3fLCyrU7VAtgw1x32NvoaTEZEpHksbohymdOX3qLnmAsIep80cFgiASYOKYufh5aFjo5a5wgQEeVJLG6IcpGbDz7Cs88pKBRJh6FsrPSwbnYNNHS31XAyIqKcgz/ziHKRCiXN0PmHwgCABm428N/rycKGiOgL7LkhykUkEgmWeLuianlLDO5aDNra/H1CRPSlDH8ybty4ETVr1oS9vT1evHgBAFiwYAH+/vvvTAtHlJ8lJirgvfAW9vm+Vmk3MtTFsB4lWNgQEaUhQ5+Oy5Ytg5eXF5o1a4awsDDI5XIAgJmZGRYsWJCZ+YjypTdvo+HZ+yRmLLuHgZMv4fnrT5qORESUa2SouFm8eDFWrlyJyZMnq9ww09XVFbdv3860cET50dGzQaja+ijOXnkPAIiMSsT5ayEaTkVElHtkaMxNQEAAXFxcUrTLZDJERUV9dyii/CghQQHvRbcxd+V9ZVtBW31s8nGHe+UCGkxGRJS7ZKi4cXZ2xo0bN+Do6KjSfvjwYZQpUyZTghHlJ6+CotDd6wIuXP+vh6ZZXXusnlkdluayryxJRERfylBxM3bsWAwbNgyxsbEQQuDy5cvYunUrZsyYgVWrVmV2RqI87Z8Tb9B/4iV8CI8HAOjoSPCHV0WM6F2SN78kIsqADBU3ffr0QWJiIsaNG4fo6Gh07doVDg4OWLhwITp37pzZGYnyrMhPCRg4+bKysHG0N8AmH3dUr2Sl4WRERLlXhs8lHTBgAF68eIF3794hODgYr169Qr9+/TIzG1GeZ2yki1UzqgMAWjZywOW9TVjYEBF9p+++iJ+VFT+IidQhlytUrlHTrJ49Tm5uCPfKVpBIeBiKiOh7ZXhA8dc+hJ89e5bhQER5VVy8HBNm38C7D3HYNM9N5d9QzSo8G4qIKLNkqLgZOXKkyvOEhARcv34dR44cwdixYzMjF1Ge8vRlJLqN8sO1ux8BAHWrWWNg52IaTkVElDdlqLgZMWJEqu1//vknrly58l2BiPKaXUdeYvDP/oj4lAAAkEm1oKPNw09ERFklU29O07RpU+zevTszV0mUa8XGyfHT1CvoOtJPWdgUczTG2e2N0bdDUQ2nIyLKuzL1ruC7du2ChYVFZq6SKFd6FBCBrqP8cOtBmLKt8w+O+PNXVxgb6WouGBFRPpCh4sbFxUVlMKQQAsHBwXj//j2WLl2aaeGIcqOtB55jmPcVfIpOBADoybSxcEpl9G5XhGdDERFlgwwVN61bt1Z5rqWlhQIFCqBevXooVapUZuQiypWEENh99JWysClZxARbF7ijXAkzzQYjIspH1C5uEhMT4eTkBE9PT9ja2mZFJqJcSyKR4K/fq+HGvaOoW80ai35xhaFBph79JSKib1D7U1dHRwdDhgzB/fv3vz0zUT4Q9C4Gdtb6yucWZjJc3O0JK97wkohIIzJ0tlT16tVx/fr1zM5ClKtERSei7/iLcG19BEHvYlSmsbAhItKcDPWXDx06FKNHj8br169RpUoVGBoaqkyvUKFCpoQjyqluPwxD11F+ePgsAgDQc8wFHF1Xn3fxJiLKAdQqbvr27YsFCxagU6dOAIDhw4crp0kkEgghIJFIIJfLMzclUQ4hhMDaXc8w8vdriI1L+js3MtBB3w5FWNgQEeUQahU369evx8yZMxEQEJBVeYhyrMhPCRjq7Y/tB18q2yqUMsOW+e4o4WyiwWRERPQ5tYobIQQAwNHRMUvCEOVUN+5/RNeRfnjyIlLZNqhLMcyZ4AI9mbYGkxER0ZfUHnPDi5BRfrN211MMn3YVcfEKAICJkS6W/VYVHZoW1nAyIiJKjdrFTYkSJb5Z4Hz48CHDgYhyGgN9HWVhU7msOTbPd0fRwsYaTkVERGlRu7iZOnUqTE1NsyILUY7UqbkjTl96B5lUCzPHVYJMysNQREQ5mdrFTefOnWFtbZ0VWYg0TgiBExfeoqG76tW3l/zqyrOhiIhyCbUu4sfxNpSXfQyPR4efzqFp31PYcuC5yjQWNkREuYdaxU3y2VJEec3lm6Go1uYI9v/7BgDwo/cVhH6M03AqIiLKCLUOSykUiqzKQaQRQggsWPsQk31uIjExqXi3MJVi9czqsOQtFIiIciXerpjyrdCPceg38RIOnQpUtrlXtsLGeW4oZGf4lSWJiCgnY3FD+ZLftffo7uWH18H/3fBy7IDS+HV4eejqZuh+skRElEOwuKF8Z+fhl+g55gLk8qTDUFbmMqydXQOete00nIyIiDIDf6JSvlPbtQCs/j+eprZrAfjv82RhQ0SUh7DnhvId2wL6WD+nBk5ffocpw8pBR4c1PhFRXsJPdcrT5HIFFqx9kOK07gZutpg6ogILGyKiPIif7JRnBb+PQfP+pzFu1g30n3SJ12kiIsonWNxQnnTiQjCqtjmKExfeAgAOnw7C5ZuhGk5FRETZgcUN5SlyuQK/LrqNpn1P4W1ILADAroAejq2rj+qVrDScjoiIsgMHFFOeEfg2Bj3H+OGM/3tlm0ctW6yZVQPWlnoaTEZERNmJxQ3lCUfPBqHPuIsI+f/AYW1tCaaOKI8x/UvzppdERPmMxg9LLV26FM7OztDT00OVKlVw9uzZNOfds2cPGjdujAIFCsDExARubm44evRoNqalnOjK7VC0GHBaWdgUtNXHvxsaYNzAMixsiIjyIY0WN9u3b8fIkSMxefJkXL9+HbVr10bTpk3x8uXLVOc/c+YMGjdujEOHDuHq1auoX78+WrRogevXr2dzcspJqpSzQKfmhQEAzerZw39vE9SsUkDDqYiISFMkQoPnx1avXh2VK1fGsmXLlG2lS5dG69atMWPGjHSto2zZsujUqRN++eWXdM0fEREBU1NThIeHw8TEJEO50yKWO0ASFQghs0Zi4zOZum76uohPCdj+zwv071QUEgl7a4iINEXEx0PExkJavjwkepk33lGd72+N9dzEx8fj6tWr8PDwUGn38PCAn59futahUCgQGRkJCwuLrIhIOVBCggITZt/AgRNvVNpNjHQxoHMxFjZERKS5AcUhISGQy+WwsbFRabexsUFwcHC61jFv3jxERUWhY8eOac4TFxeHuLj/rk4bERGRscCkcc9ff0L30Rdw+WYo1u5+hst7POHoYKjpWERElMNofEDxl7+0hRDp+vW9detW/Prrr9i+fTusra3TnG/GjBkwNTVVPgoVKvTdmSn7/f3va1Rre1R5Ib5P0Ynwv82L8hERUUoaK26srKygra2dopfm3bt3KXpzvrR9+3b069cPO3bsQKNGjb4678SJExEeHq58vHr16ruzU/aJi5dj9PRr6PDjOYRFJAAAihQyxJktjdC+SWENpyMiopxIY8WNVCpFlSpV4Ovrq9Lu6+sLd3f3NJfbunUrevfujS1btqB58+bffB2ZTAYTExOVB+UOT19Gom6Xf7F4wyNlW1vPQri0xxNVynOcFRERpU6jF/Hz8vJCjx494OrqCjc3N/z11194+fIlBg8eDCCp1+XNmzfYsGEDgKTCpmfPnli4cCFq1Kih7PXR19eHqampxraDMt+uIy8x+Gd/RHxK6q2RSbUwd6ILBnLQMBERfYNGi5tOnTohNDQU06ZNQ1BQEMqVK4dDhw7B0dERABAUFKRyzZsVK1YgMTERw4YNw7Bhw5TtvXr1wrp167I7PmWRj+HxGOZ9RVnYFHM0xpYF7qhU2lzDyYiIKDfQ6HVuNIHXuckd9h9/jfbDzqFT88JYOrUqjI10NR2JiIjSISdc54b3lqIcITFRAR2d/4aAtWxYEGe3NUK1ipY8DEVERGrR+KnglL/FxCZiyJTL6DP+Ir7sRKxeyYqFDRERqY09N6Qx95+Go+tIP9x9HA4AqFfdBv06FtVwKiIiyu3Yc0MasXFfANzaH1MWNgb62pDJ+OdIRETfjz03lK2iohMx4rer2LA3QNlWprgptsx3R5liPJ2fiIi+H4sbyjZ3HoWh6yg/PHj63/29+rQvgvmTK8NAn3+KRESUOfiNQllOCIF1u59h5O/XEBMrBwAYGujgz6mu6NrCSbPhiIgoz2FxQ9ni73/fKAubCqXMsGW+O0o481YYRESU+TiCk7KcRCLB6hnVUcjOAAM7F8O57Y1Z2BARUZZhzw1lOiEEAt/FwMHGQNlmaS6D/15PWJjJNJiMiIjyA/bcUKaK+JSAbl5+qNHuGILfx6hMY2FDRETZgcUNZZprdz6getuj2HX4Fd6GxKL3uJRXHSYiIspqPCxF300IgaWbHmP87BuIT1AAAEyNdTGoSzHePoGIiLIdixv6Lh/D4zHw58v42/e1sq1qBQts8nGHc0EjDSYjIqL8isUNZZj/rVB0G+WH52+ilG0je5fE714VIJVqazAZERHlZyxuKEOWb3kMr+nXkJiYNKbG3FSK1TOq44cGDhpORkRE+R2LG8oQE2NdZWHj5mKFjfPcUNjeUMOpiIiIWNxQBnVt4YSzl9/B3EyGqcPLQ1eXJ94REVHOwOKGvkmhEPj3fDA8atuptC+dVpVnQxERUY7Dn9v0Ve8/xKL14DP4YcBp7Dj0UmUaCxsiIsqJWNxQms76v0PV1kdx5EwQAGCYtz/CIuI1nIqIiOjrWNxQCnK5AtOX3UXjXicR+C7pFgo2VnrYtrAmzEykGk5HRET0dRxzQyqSbptwAcf93irb6tewxvo5brAtoK/BZEREROnD4oaUTl58i15jLyD4fSwAQEtLgp+HlcXEwWWgrc1OPiIiyh1Y3BAAYNPfAeg34RKS73NpV0APG+a6oW51G80GI8oh5EIgUQjwVrBEX5d8w2RFXBzUPe1EKpVCS+v7f0yzuCEAQEM3WxSwkOFdaBwa17TF2tk1YG2pp+lYRBonhMC7hAREKBQAzxAk+jYhAF1dSN68UfvfjJaWFpydnSGVft/4ThY3BACws9bHutluuHI7FOMGloGWFj/EiQAkFTYACtjYwEBPj5dAIPoWhQIQAhI9PUjU6IVRKBQIDAxEUFAQChcu/F3/1ljc5EOJiQr4rHmAAZ2Kwdz0v+q4UU1bNKppq8FkRDmLXAhEKBQoYGMDSzMzTcchyh0yWNwAQIECBRAYGIjExETo6upmOAKLm3zmdXA0eoz2w/mrIbh8KxQ7F9fiL1GiNCQKAUgkMNDjIVqi7JB8OEoul39XccNTYPKRQ6cCUbX1EZy/GqJ8fuPeRw2nIsq5kgcP8wcAUfbIrH9rLG7ygYQEBSbMvoHWg88gNCzpCsOF7Q1wclNDuJS10HA6IiKizMXiJo978SYKDbofh8+aB8q2Fg0dcHmPJ6pXstJgMiKinCc0NBS2hQvj+YsXmo6S5yxZsgQtW7bMltdicZOH7T/+GtXaHsWlm6EAAF1dLcyb5IJdS2rBwkym4XRElFX6DBgAbX19aOvrQ2pkBKfixTF0+HB8/JjyMLTfhQto3ro1LO3sYGBmhoqurvBZsAByuTzFvCdPn0bz1q1RwMEBRhYWKOfigjHjx+PNmzfZsVnZYuacOfihWTM4OTpqOkqWCAoKQrdevVC6QgXoGBhg1Jgx6Vru5cuXaNmuHYwtLWFdsCBGeHkhPl71XoO379xB/caNYWhpiULFi2Pab78pr3kDAAMGDIC/vz/OnTuXqduUGhY3edSFayFoP+wcPoYn/fE5FzTE6S0N8VPPkhw/QJQPeHp44E1AAJ49eIC/li3DPwcPYtiIESrz7P37b9T38EBBBwccP3IE927exE/DhmH67Nno0qOHyhfTilWr4NGsGWxtbLBz61bcuX4dSxcvRnhEBHwWLsy27fryCzUzxcTEYM369ejXu/d3rScrM36vuPh4FLCywsTx41GxQoV0LSOXy9GibVtER0XhzPHj2LJhA/bs24cx48cr54mIiIDnDz/Azs4Ol86cwcK5czFv3jz4+Pgo55HJZOjatSsWL16c6dv1JRY3eVQNF0u0b1oIANDGoyAu7fGEa3lLDaciouwik0pha2uLggULwqNRI3Rs3x6+x48rp0dFRWHQsGFo0bw5Vvz5JypVrAgnR0f079MHa1euxO69e7Fj1y4AwOvXrzFy9Gj8NHQoVq9YgXp16sDJ0RF1atXCymXLMGXSpDRzhIWFYdCwYbBzdISBmRkqVKmCfw4dAgBM/f13VK5eXWX+hYsXo0jJksrnfQYMQJsOHTBzzhwUdHZGqfLlMWnKFLjXqZPitSpVrYpff/tN+Xzthg0oW6kSDMzMUKZiRSxbseKr++zw0aPQ0dGBW40ayja5XI7+gwejaKlSMDQ3R+kKFbBoyRKV5VLLCABv3rxB5+7dYWlnhwIODmjdoYPK4S7/K1fg0bw5rAsWhLmNDeo3boxr169/NeP3cnJ0xIJ589CzWzeYmpika5lj//6Le/fvY8OaNXCpVAmNGjTAnJkzsWrtWkRERAAANm/bhtjYWKxduRLlypZF21atMHHiRPj4+KgUyS1btsS+ffsQExOTJduXjKeC51ESiQTLplWFZy079GzrzN4aokwi2VETiA7O/hc2sIXoeD5Diz4LCMBRX1+VU2uP/fsvQkNDMXrkyBTzt2jeHCWKF8e2HTvQqUMH7NqzB/Hx8Rjr5ZXq+s3SuAaQQqFA81atEPnpEzasWYOiRYrg3v370NbWViv/iVOnYGJigqMHDyq/KGfNnYunz56haJEiAIC79+7h9p072LFlCwBg5Zo1mPrbb1g0fz5cKlXC9Rs3MGjYMBgYGqJX9+6pvs7Zc+dQpXLlFNtQ0MEB2zZtgpWVFfwuXMDgH3+Era0tOrZvn2bG6OhoNGzSBLVq1sQpX1/o6Ojgj5kz0axlS9zw94dUKkXkp0/o2b07Fs6bBwDwWbgQP7Rpg4e3b8PY2DjVjJu3bsWQn3766v5atngxunXpko49mz4XL11CubJlYW9vr2zzbNwYcXFxuHr9OurXrYuLly6hTu3akMlkSde5QVLv4aRJk/D8+XM4OzsDAFxdXZGQkIDLly+jbt26mZbxSyxu8oDYODnGz7oBzzp2aFbvvz8+U2MperUrosFkRHlQdDAkUYHZ/rLq3tPq4OHDMLGyglwuR2xs0s1w582apZz++PFjAEDpUqVSXb5kyZJ4/ORJ0rxPn8LExAR2dnZqZfj3xAlcvnIFd2/cQInixQEARf7/JacOQ0NDrFy2TOWS/BXKl8fW7dvx88SJAIAt27ahapUqytf5Y8YMzJk5E21btwYAODs54f6DB1i5alWaxc3zFy9g/8U26urq4tcpU5TPnZ2ccOHSJezcvVuluPky45r166GlpYWVy5Ypf1yu+esvWNja4tSZM/Bo1AgN6tVTea3lS5bA0s4Op8+exQ/NmqWaseUPP6B6tWpf3V821tZfna6u4LdvYf3FOs3NzSGVShEcHKyc58txSjY2SfcmDA4OVhY3hoaGMDMzw/Pnz1ncUNoeP49ENy8/3Lj3ETsOvYD/viYoaGug6VhEeZeBrWZunmmg3tXD69Wti6WLFiE6Ohqr167FoydP8OPQoSnm+/yQwZftyV/Kn/+/Om7evImCDg7KgiOjypUtm+JeQ107dcLaDRvw88SJEEJg244dGPHjjwCA9+/f49Xr1xgwZAgGDRumXCYxMRGmpqZpvk5MbCz0Urlg4/KVK7Fm3Tq8ePkSMTExiI+PR6Uvxqt8mfHa9et48vQpTAsUUJkvNjYWT589AwC8e/cO3r/9hpOnTuHtu3eQy+WIjo7Gq1ev0sxobGycZq9OVkrt/f/y7+LLeZL/tr5s19fXR3R0dBak/A+Lm1xs+8EXGDLFH5+iEwEAUTFyXL/3kcUNURbK6KGh7GZoYIBiRYsCABb6+KChpyem/fEHpnl7AwCK/7/guP/gAdzd3FIs//DhQ2WvTolixRAeHo6goCC1em/09fW/Ol1LSytFcZWQkJDqtnypS6dOmDhlCq5dv46YmBi8ev0anTp0AJB0KAkAVvz5Z4pejq8dErOytExxRtmOXbswetw4zJ05EzWqV4exsTHmzp+Py/7+X82oUChQxcUFG9etS/E6BaySLsPRZ+BAhLx/D585c+BYuDBkMhlq1qv31QHJmjgsZWtjk2J7P378iISEBGXvjK2NDYLfvlWZ5927dwD+68FJ9uHDBxT4oujLbCxucqGY2ESMnn4dq3Y8VbaVcDbGlgU1UaGkmeaCEVGONWXyZDRv1QqDBwyAvb09PBo1goWFBXwWLkxR3Oz/5x88fvIEU3/5BQDQrk0bTJwyBXN8fOAzZ06KdYeFhaU67qZ8+fJ4/eYNHj1+nGrvjZWVFYLfvlXpAbhx61a6tqdgwYKoU6sWtmzbhpjYWDRs0ED5JWpjYwMHe3sEPH+u1pe8S8WK2Lxtm0rbufPn4V6jBoYMGqRse/b/npevrqtSJezYtQvWBQrAJI2Bu+fOn8eShQvRrEkTAMCrV68QEhLy1fVq4rBUjerVMX3WLJXi9ti//0Imk6GKi4tynp+9vREfHw+pTlJpcczXF/b29nByclKu6+nTp4iNjYXL/5fLKjxbKpd58CwCNTv6qhQ23Vo54eIuDxY2RJSmenXqoGyZMpgxezaApLEPyxYvxv5//sGgYcNw6/ZtPH/xAqvXrUPfgQPRrk0b5ZiSQoUKwWf2bCz680/0HzwYp8+exYsXL3Dezw+Df/wRv8+Ykepr1q1dG3Vq1UKHLl3ge/w4Ap4/x+GjR3Hk2DFlpvfv32POvHl4+uwZli5frpyWHl06d8b2nTuxa8+eFEXMLz//jJlz5mDRkiV49Pgxbt+5g7UbNmD+V05b92jcGHfv3VPpvSlWtCiuXLuGo76+ePT4MX6ZOhX+V69+M1u3zp1hZWmJNh064Oy5cwh4/hynz57FyNGj8fr1a+W6N23ZgvsPHuDS5cvo0afPN3u7jI2NUaxo0a8+vnXY6sbNm7hx8yY+RUXhfUgIbty8iXv37yun7/37b5SpWPG//dKoEcqULo1e/frh+o0bOH7yJMZNnIj+ffooC7eunTpBJpOhz4ABuHP3Lvbu348ZM2bAy8tL5bDU2bNnUaRIERT9f69iVmFxk4ts+jsAbu2P4c6jcACAgb42Vk2vhrWzasDIMOM3GCOi/GHkTz9h1dq1yjEd7du2xfEjR/Dq9WvUa9wYpStUwIJFizBp3Dhs3bhR5UtpyKBBOPLPP3gTGIh2nTqhTKVKGDh0KEyMjVM94yrZzq1b4VqlCrr16oVyLi6YMHmy8gKBpUuVwpKFC7F0xQq4VKuGy1eufHVdX+rQti1CP3xAdHQ0WrdooTKtf58++GvpUqzftAkVXV1R38MDGzZuVOlF+FL5cuXgWrkyduzerWwbNGAA2rRqhS49esCtTh2EfviAIQMHfjObgYEBTvn6olChQmjfpQvKVqqE/oMGISY2VlkQrFq+HGEfP6JKjRro1a8ffhw6FNZZfLgGAKrUqIEqNWrg6rVr2Lp9O6rUqIEf/j/wGgDCIyLw8NEj5XNtbW0c2LMHMj091G7QAJ27d0erFi0wZ+ZM5TympqY4+s8/ePPmDarVro0fR43CqFGj4PXFGXZbt27FgAEDsnwbJSKt0WR5VEREBExNTREeHp5mV2FGieUOkEQFQsiskdj4TKauO+RjHEp7/IPwyKTj0WWKm2LLfHeUKZb24Dgi+j6xCgVeJSTAydERejJe1Ts/OHTkCMZNnIhbV69CS4u//zNEoQCEgERfH5LP9uGdO3fQsGFDPHr0KM2B3bGxsQgICICzs3OKwd3qfH/zncslrMxl+OuPpOOsfdoXgd+OxixsiIgyWbMmTTCwX788dUuJnCIwMBAbNmz46hlrmYUDinMoIQQSEwV0df+rP9t4FILfzsa80jARURYa/v9TyilzeXh4ZNtrsecmB/oUlYDe4y5i4M+XU5wmycKGiIjo69hzk8PcfPARXUf64fHzSABAvWrWvMowERGRGthzk0MIIbBy2xPU6uirLGyMDXV4FhQREZGa2HOTA0R8SsDgKZex6/B/l9x2KWOOzfPdUcwx+y+zTURElJuxuNGw63c/oOsoPzx9+UnZNqx7ccwcVwkyqXp3ziUiIiIWNxojhMCyzY8xbtYNxCck3QfF1FgXf/1RDW08Cmk4HRERUe7FMTcaIgRw5EyQsrBxLW+By3s9WdgQEamhgYcHRo0Zo+kYlMOwuNEQLS0JVs+sDgcbfYzsXRKnNjeEc0EjTccionQQCQkQcXHZ90jlTtnp4XfhAnQNDdG0ZctM3gN53/MXL6Ctr698mNvYwL1OHRw4eDDFvDExMfj1t99QukIF6JuawrpgQXTo0gV3791LMW9ERAR+9vZGmYoVYWBmBnsnJ3g0a4Y9+/aluPQHZRwPS2UTIQReB0ejkJ2hsq2AhR6uH2gKMxOpBpMRkTpEQgISnzyBiInJtteU6OtDp1gxSHTVO3ty7YYN+HHIEKxetw4vX75E4cKF05xXCAG5XA4dnfz1tSCXyyGRSNK81cKxQ4dQtnRphIWHY9mKFejQpQuuXLiAcmXLAgDi4uLg0awZXr56hTkzZ6J61ap4++4dZs6ZA7c6dXDs4EHUqF4dQNLd0+s0bIjw8HBM+/VXVK1SBTo6Ojh99iwmTJ6MBvXqpXp3dVIfe26ywYewOLQdeha1OvriXWisyjQWNkS5jEIBERMDia5u0r1zsvqhq5tUSCkUasWMiorCzt27MXjgQDRv2hTrN21SmX7qzBlo6+vjqK8vqtWsCX1TU5w9fx5CCMyZNw/FSpeGobk5XKpVw649e5TLyeVy9B88GEVLlYKhuTlKV6iARUuWfDXLuo0bYWFrq9K2b/9+aH92B+ypv/+OytWrY+OWLShSsiTMbWzQpUcPREZGqmxTr379YGJlBQdnZ/gsWJDiteLj4zF+0iQUKlIExpaWcKtdG6fO/Hevv+Qs/xw6hHIuLtA3NcWLly/TzG5pYQFbW1uUKlkSv0+dioSEBJw6fVo5feHixbhw6RL279mDju3bw9HREdWqVsWubdtQumRJDBgyRNkjM9nbG89fvMCFM2fQq3t3lCldGiWKF8eAvn1x7dIlGBmx9z6zsLjJYheuhaBqm6M4eDIQQe9j0W/CJXY9EuUFOjpJBU4WP5DBnpTtu3ahZPHiKFmiBLp16YJ1Gzak+tkzYfJk/DFtGu7euIEK5cphyq+/Yt3Gjfhz0SLcvnYNI376CT379sXps2cBAAqFAgUdHLBt0ybcuX4dP0+ciMne3tixa9d37U4AePrsGf7evx/79+zB/t27cebcOcyaO1c5fdykSTh1+jR2b9+OIwcO4NTZs7h6/brKOvoOHAi/CxewZcMG3PD3R/u2bdGsZUs8fvJEOU90dDRmzZmDv5Yuxe1r19J1J+6EhASsWrMGAKDzWQ/a1h070KhhQ1SsUEFlfi0tLYz46Sfcu38fN2/dgkKhwPadO9G1c2fY29unWL+RkVG+6zXLStyTWUShEPBZ8wBT5t+CXJ70gWJpJsXQ7sUhkUg0nI6I8rq169ahW5cuAIAmHh74FBWF4ydPolGDBirz/TplCho3bAggqWdk/qJF+PfwYbjVqAEAKOLsjPN+fvhr1SrUrV0burq6+HXKFOXyzk5OuHDpEnbu3o2O7dt/V2aFQoG1K1fC2Djp+l7du3TBiZMngalT8enTJ6xZtw7rVq1S5l23ciUKFyumXP7ps2fYtmMHXj55oiwgRo8ahaO+vli3YQP+mDYNQFKhsmThwhQFSWpq1a8PLS0txMTEQKFQwMnRER3btVNOf/T4MerVqZPqsqVLlVLOY29nh48fP6JUiRIZ2DOkLo333CxdulR5a/MqVarg7P9/HaTl9OnTqFKlCvT09FCkSBEsX748m5Km3/tIPbQefAaT5t5UFja1XAvAf18TNK2bsmInIspMDx89wuUrV9CpQwcAgI6ODjq2a4e169enmNe1cmXl/9+7fx+xsbHw/OEHmFhZKR8bN2/Gs2fPlPMtX7kS1WrWhE2hQjCxssKqNWvw6tWrFOtWl5Ojo7KwAQA7W1u8e/8eQFLhEh8fD7f/j18BAAsLC5T8rFi4dv06hBAoVaGCSv7TZ8/i6Wf5pVIpKpQvn65MWzduxNWLF7Fv1y4UK1oUfy1bBgsLi3Qtm9xTJpFIVP6fsp5Ge262b9+OkSNHYunSpahZsyZWrFiBpk2b4t69e6kOfAsICECzZs0wYMAAbNq0CefPn8fQoUNRoEABtPusktakM08d0WVLBwSGBwEAJBJgwuAymDKsHHR0NF5LElE+sGbdOiQmJqJQ0aLKNiEEdHV18fHjR5ibmyvbDQ3/O8lB8f9xPQf27oXDF4dOZNKk8YE7du3C6HHjMHfmTNSoXh3GxsaYO38+Lvv7p5lHS0srxSGxhFTOANP9YsC0RCJRZkrP4XyFQgFtbW34+/lBW1v1IqhGn22nvr5+uouMQgULonixYiherBiMjIzQoUsX3Ll2DdbW1gCAEsWL496DB6ku++DhQwBA8WLFUKBAAZibm+P+/9soa2n029bHxwf9+vVD//79Ubp0aSxYsACFChXCsmXLUp1/+fLlKFy4MBYsWIDSpUujf//+6Nu3L+Z+dkxWk+b9Wx71l/dCYHjSoDBrSxkOrqqHqSMqsLAhomyRmJiIjVu2YO7Mmbh26ZLycf3yZTgWLowt27aluWyZ0qUhk8nw8tUrFCtaVOVRqFDSNbjOnT8P9xo1MGTQILhUqoRiRYuq9OqkpoCVFSIjIxEVFaVsu3nrllrbVaxoUejq6uLi5cvKto8fP+LR48fK5y6VKkEul+Pdu3cp8tt+MaA5I+rWro1yZcpg+qxZyrZOHTrg+IkTKbZHoVBg4eLFKFO6NCpWqAAtLS10bN8eW7ZtQ2BgYIp1R0VFITEx8bszUhKN9dzEx8fj6tWrmDBhgkq7h4cH/Pz8Ul3mwoUL8PDwUGnz9PTE6tWrkZCQkKLqB5JO04uLi1M+j4iIyIT0qbMyjIVCJBUx9aoWwLqZrrAroA8RH59lr0lEWUcIkXTFTYXiv7OVPv+vmmcwZYiar/fPwYP4+PEj+vbsCVNTU5Vp7Vq3xpp16zBs0KBU12tsaIjRI0Zg9LhxUCQmopa7OyIiInDh0iUYGhqiV/fuKFakCDZu2YKjR4/C2ckJm7Zuhf/Vq3B2dEwzX/UqVWBgYIDJU6bgxyFDcPnKFazfuFF1+z7f18mSe2sUChgZGKBvr14YP2kSLM3NYWNtjZ+nTk06hfv/y5UoWhRdO3VC7/79MWfGDLhUrIiQ0FCcPHUK5cqWRbMmTVK+j2ru91HDh6NT9+4YO2oUHOztMXLYMOw/cACt2rXDnBkzlKeCz5gzB/cfPsSxf/6B5P/b9oe3N06fOQO3OnXwm7c3XCtXhq6uLs6eP49Z8+bh0pkzPBU8k2isuAkJCYFcLoeNjY1Ku42NDYKDg1NdJjg4ONX5ExMTERISAjs7uxTLzJgxA1OnTs284F/Ry+0Jzj4wRSHLRIz7xRva2hKI2NhvL0hEOZeu7n9fvMB//5+YiGw57zEx8b/XTMehmTXr16Nh/fowNTFJMX/bVq0wY84cXLt+PeX2/N+0KVNgbWWFWXPnYtDz5zAzNYVLpUqYOGYMIAQG9euHG7duoUuvXpBIJOjcvj2GDBiAI8eOpZnPwtwcG1atwviff8bKtWvRsH59/DJpEgb/9JNqjs//+7n/t83+/Xd8+vQJrTt2hLGREbyGD0dEeLjKPGuWL8cfs2Zh7MSJeBMYCEsLC9SoVg1NPTxU1/2tfZnGvD80aQKnwoUxfdYs/LlgAfRkMvx78CBmzp2Ln3/9FS9evoSxsTHq1a4NvxMnkq6H8//lzc3M4HfiBGb5+GD67Nl48fIlzM3MUK5sWcz6/fdU37NcS8NjiyRCQ+clBwYGwsHBAX5+fnBzc1O2//HHH9i4cSMepHIMs0SJEujTpw8mTpyobDt//jxq1aqFoKCgVLsdU+u5KVSoEMLDw2FiYpK5G7XJFYrIYEgMbYCO5zN33USU7WLj4vD8zRs4OTlBT08PQNJF/BIePszWHy4SPT3oliyp9kX8iDRJksaFEb8mNjYWAQEByhONPhcREQFTU9N0fX9rrOfGysoK2traKXpp3r17l6J3JpmtrW2q8+vo6MDS0jLVZWQyGWQyWeaE/pbuVzR/+hkRZRoJAEgkkGhpKT+oJTIZpKVLA3J59gXR1mZhQ6QGjRU3UqkUVapUga+vL9q0aaNs9/X1RatWrVJdxs3NDQcOHFBpO3bsGFxdXVMdb0NElBUkurpJh6uIKEfSaEeDl5cXVq1ahTVr1uD+/fsYNWoUXr58icGDBwMAJk6ciJ49eyrnHzx4MF68eAEvLy/cv38fa9aswerVqzGGd4QlIiKi/9PodW46deqE0NBQTJs2DUFBQShXrhwOHToER0dHAEBQUBBefnbPD2dnZxw6dAijRo3Cn3/+CXt7eyxatCjHXOOGiIiINE9jA4o1RZ0BSUSUv31tcCMRZb7MGlDM8a9ERN+Qz34DEmlMZv1bY3FDRJSG5BMVoqOjNZyEKH+I//9Fb7+8fYa6eFdwIqI0aGtrw8zMDO/evQMAGBgY8MaHRFlEoVDg/fv3MDAwgI7O95UnLG6IiL4i+eKgyQUOEWUdLS0tFC5c+Lt/RLC4ISL6ColEAjs7O1hbW6d6J2siyjxSqTTpfmHficUNEVE6aGtrf/c4ACLKHhxQTERERHkKixsiIiLKU1jcEBERUZ6S78bcJF8gKCIiQsNJiIiIKL2Sv7fTc6G/fFfcREZGAgAKFSqk4SRERESkrsjISJiamn51nnx3bymFQoHAwEAYGxtn+sW4IiIiUKhQIbx69Yr3rcpC3M/Zg/s5e3A/Zx/u6+yRVftZCIHIyEjY29t/83TxfNdzo6WlhYIFC2bpa5iYmPAfTjbgfs4e3M/Zg/s5+3BfZ4+s2M/f6rFJxgHFRERElKewuCEiIqI8hcVNJpLJZPD29oZMJtN0lDyN+zl7cD9nD+7n7MN9nT1ywn7OdwOKiYiIKG9jzw0RERHlKSxuiIiIKE9hcUNERER5CosbIiIiylNY3Khp6dKlcHZ2hp6eHqpUqYKzZ89+df7Tp0+jSpUq0NPTQ5EiRbB8+fJsSpq7qbOf9+zZg8aNG6NAgQIwMTGBm5sbjh49mo1pcy91/56TnT9/Hjo6OqhUqVLWBswj1N3PcXFxmDx5MhwdHSGTyVC0aFGsWbMmm9LmXuru582bN6NixYowMDCAnZ0d+vTpg9DQ0GxKmzudOXMGLVq0gL29PSQSCfbt2/fNZTTyPSgo3bZt2yZ0dXXFypUrxb1798SIESOEoaGhePHiRarzP3v2TBgYGIgRI0aIe/fuiZUrVwpdXV2xa9eubE6eu6i7n0eMGCFmzZolLl++LB49eiQmTpwodHV1xbVr17I5ee6i7n5OFhYWJooUKSI8PDxExYoVsydsLpaR/dyyZUtRvXp14evrKwICAsSlS5fE+fPnszF17qPufj579qzQ0tISCxcuFM+ePRNnz54VZcuWFa1bt87m5LnLoUOHxOTJk8Xu3bsFALF3796vzq+p70EWN2qoVq2aGDx4sEpbqVKlxIQJE1Kdf9y4caJUqVIqbYMGDRI1atTIsox5gbr7OTVlypQRU6dOzexoeUpG93OnTp3Ezz//LLy9vVncpIO6+/nw4cPC1NRUhIaGZke8PEPd/TxnzhxRpEgRlbZFixaJggULZlnGvCY9xY2mvgd5WCqd4uPjcfXqVXh4eKi0e3h4wM/PL9VlLly4kGJ+T09PXLlyBQkJCVmWNTfLyH7+kkKhQGRkJCwsLLIiYp6Q0f28du1aPH36FN7e3lkdMU/IyH7ev38/XF1dMXv2bDg4OKBEiRIYM2YMYmJisiNyrpSR/ezu7o7Xr1/j0KFDEELg7du32LVrF5o3b54dkfMNTX0P5rsbZ2ZUSEgI5HI5bGxsVNptbGwQHByc6jLBwcGpzp+YmIiQkBDY2dllWd7cKiP7+Uvz5s1DVFQUOnbsmBUR84SM7OfHjx9jwoQJOHv2LHR0+NGRHhnZz8+ePcO5c+egp6eHvXv3IiQkBEOHDsWHDx847iYNGdnP7u7u2Lx5Mzp16oTY2FgkJiaiZcuWWLx4cXZEzjc09T3Inhs1SSQSledCiBRt35o/tXZSpe5+TrZ161b8+uuv2L59O6ytrbMqXp6R3v0sl8vRtWtXTJ06FSVKlMiueHmGOn/PCoUCEokEmzdvRrVq1dCsWTP4+Phg3bp17L35BnX287179zB8+HD88ssvuHr1Ko4cOYKAgAAMHjw4O6LmK5r4HuTPr3SysrKCtrZ2il8B7969S1GVJrO1tU11fh0dHVhaWmZZ1twsI/s52fbt29GvXz/s3LkTjRo1ysqYuZ66+zkyMhJXrlzB9evX8eOPPwJI+hIWQkBHRwfHjh1DgwYNsiV7bpKRv2c7Ozs4ODjA1NRU2Va6dGkIIfD69WsUL148SzPnRhnZzzNmzEDNmjUxduxYAECFChVgaGiI2rVr4/fff2fPeibR1Pcge27SSSqVokqVKvD19VVp9/X1hbu7e6rLuLm5pZj/2LFjcHV1ha6ubpZlzc0ysp+BpB6b3r17Y8uWLTxmng7q7mcTExPcvn0bN27cUD4GDx6MkiVL4saNG6hevXp2Rc9VMvL3XLNmTQQGBuLTp0/KtkePHkFLSwsFCxbM0ry5VUb2c3R0NLS0VL8CtbW1AfzXs0DfT2Pfg1k6XDmPST7VcPXq1eLevXti5MiRwtDQUDx//lwIIcSECRNEjx49lPMnnwI3atQoce/ePbF69WqeCp4O6u7nLVu2CB0dHfHnn3+KoKAg5SMsLExTm5ArqLufv8SzpdJH3f0cGRkpChYsKNq3by/u3r0rTp8+LYoXLy769++vqU3IFdTdz2vXrhU6Ojpi6dKl4unTp+LcuXPC1dVVVKtWTVObkCtERkaK69evi+vXrwsAwsfHR1y/fl15yn1O+R5kcaOmP//8Uzg6OgqpVCoqV64sTp8+rZzWq1cvUbduXZX5T506JVxcXIRUKhVOTk5i2bJl2Zw4d1JnP9etW1cASPHo1atX9gfPZdT9e/4ci5v0U3c/379/XzRq1Ejo6+uLggULCi8vLxEdHZ3NqXMfdffzokWLRJkyZYS+vr6ws7MT3bp1E69fv87m1LnLyZMnv/p5m1O+ByVCsP+NiIiI8g6OuSEiIqI8hcUNERER5SksboiIiChPYXFDREREeQqLGyIiIspTWNwQERFRnsLihoiIiPIUFjdERESUp7C4IcrF1q1bBzMzM03HyDAnJycsWLDgq/P8+uuvqFSpUrbkyWlOnDiBUqVKQaFQZOvr3r59GwULFkRUVFS2vi5RZmFxQ6RhvXv3hkQiSfF48uSJpqNh3bp1Kpns7OzQsWNHBAQEZMr6/f39MXDgQOVziUSCffv2qcwzZswYHD9+PFNeLy1fbqeNjQ1atGiBu3fvqr2ezCw2x40bh8mTJytv8PhlzuTHqlWrUp2e2vvl5OSknK6vr49SpUphzpw5KjeLLF++PKpVq4b58+dn2rYQZScWN0Q5QJMmTRAUFKTycHZ21nQsAEl3BA8KCkJgYCC2bNmCGzduoGXLlpDL5d+97gIFCsDAwOCr8xgZGcHS0vK7X+tbPt/OgwcPIioqCs2bN0d8fHyWv3Zq/Pz88PjxY3To0CHVnJ8/unXrlmL6196vadOmISgoCPfv38eYMWMwadIk/PXXXyqv06dPHyxbtixT3mei7MbihigHkMlksLW1VXloa2vDx8cH5cuXh6GhIQoVKoShQ4fi06dPaa7n5s2bqF+/PoyNjWFiYoIqVargypUryul+fn6oU6cO9PX1UahQIQwfPvybhx4kEglsbW1hZ2eH+vXrw9vbG3fu3FH2LC1btgxFixaFVCpFyZIlsXHjRpXlf/31VxQuXBgymQz29vYYPny4ctrnh6WcnJwAAG3atIFEIlE+//yw1NGjR6Gnp4ewsDCV1xg+fDjq1q2badvp6uqKUaNG4cWLF3j48KFynq+9H6dOnUKfPn0QHh6u7Bn59ddfAQDx8fEYN24cHBwcYGhoiOrVq+PUqVNfzbNt2zZ4eHhAT08v1ZyfP/T19VPdjtTeLwAwNjaGra0tnJyc0L9/f1SoUAHHjh1TeR1PT0+Ehobi9OnTX81JlBOxuCHKwbS0tLBo0SLcuXMH69evx4kTJzBu3Lg05+/WrRsKFiwIf39/XL16FRMmTICuri6ApHEUnp6eaNu2LW7duoXt27fj3Llz+PHHH9XKlPxFmpCQgL1792LEiBEYPXo07ty5g0GDBqFPnz44efIkAGDXrl2YP38+VqxYgcePH2Pfvn0oX758quv19/cHAKxduxZBQUHK559r1KgRzMzMsHv3bmWbXC7Hjh07lL0XmbGdYWFh2LJlCwAo9x/w9ffD3d0dCxYsUOlZGTNmDICkXpDz589j27ZtuHXrFjp06IAmTZrg8ePHaWY4c+YMXF1d0505LZ+/X18SQuDUqVO4f/++ynYCgFQqRcWKFXH27NnvzkCU7bL8vuNE9FW9evUS2trawtDQUPlo3759qvPu2LFDWFpaKp+vXbtWmJqaKp8bGxuLdevWpbpsjx49xMCBA1Xazp49K7S0tERMTEyqy3y5/levXokaNWqIggULiri4OOHu7i4GDBigskyHDh1Es2bNhBBCzJs3T5QoUULEx8enun5HR0cxf/585XMAYu/evSrzeHt7i4oVKyqfDx8+XDRo0ED5/OjRo0IqlYoPHz5813YCEIaGhsLAwEAAEABEy5YtU50/2bfeDyGEePLkiZBIJOLNmzcq7Q0bNhQTJ05Mc92mpqZiw4YNaeZMftjY2KT5+l++X0Ik7XOpVCoMDQ2Frq6uACD09PTE+fPnU2Ro06aN6N2791f3AVFOpKPJwoqIktSvXx/Lli1TPjc0NAQAnDx5EtOnT8e9e/cQERGBxMRExMbGIioqSjnP57y8vNC/f39s3LgRjRo1QocOHVC0aFEAwNWrV/HkyRNs3rxZOb8QAgqFAgEBAShdunSq2cLDw2FkZAQhBKKjo1G5cmXs2bMHUqkU9+/fVxkQDAA1a9bEwoULAQAdOnTAggULUKRIETRp0gTNmjVDixYtoKOT8Y+ebt26wc3NDYGBgbC3t8fmzZvRrFkzmJubf9d2Ghsb49q1a0hMTMTp06cxZ84cLF++XGUedd8PALh27RqEEChRooRKe1xc3FfHEsXExKQ4JPV5zmTJg42Tfe39SjZ27Fj07t0b79+/x+TJk9GgQQO4u7uneC19fX1ER0enmZEop2JxQ5QDGBoaolixYiptL168QLNmzTB48GD89ttvsLCwwLlz59CvX79UDzEASeNTunbtioMHD+Lw4cPw9vbGtm3b0KZNGygUCgwaNEhlzEuywoULp5kt+ctUS0sLNjY2Kb7EJRKJynMhhLKtUKFCePjwIXx9ffHvv/9i6NChmDNnDk6fPp3iMEh6VatWDUWLFsW2bdswZMgQ7N27F2vXrlVOz+h2amlpKd+DUqVKITg4GJ06dcKZM2cAZOz9SM6jra2Nq1evQltbW2WakZFRmstZWVnh48ePX82Zmm+9X8nrLlasGIoVK4bdu3ejWLFiqFGjBho1aqQy34cPH5TFMVFuwuKGKIe6cuUKEhMTMW/ePOWv8x07dnxzuRIlSqBEiRIYNWoUunTpgrVr16JNmzaoXLky7t69+9UvxtR87cu0dOnSOHfuHHr27Kls8/PzU+kd0dfXR8uWLdGyZUsMGzYMpUqVwu3bt1G5cuUU69PV1U3X2Tldu3bF5s2bUbBgQWhpaaF58+bKaRndzi+NGjUKPj4+2Lt3L9q0aZOu90MqlabI7+LiArlcjnfv3qF27drpfn0XFxfcu3dP7dzfKn6+ZG5ujp9++gljxozB9evXVYrVO3fuoH379mpnINI0DigmyqGKFi2KxMRELF68GM+ePcPGjRtTHCb5XExMDH788UecOnUKL168wPnz5+Hv768sNMaPH48LFy5g2LBhuHHjBh4/foz9+/fjp59+ynDGsWPHYt26dVi+fDkeP34MHx8f7NmzRzmQdt26dVi9ejXu3Lmj3AZ9fX04Ojqmuj4nJyccP34cwcHBqfZaJOvWrRuuXbuGP/74A+3bt1c5fJNZ22liYoL+/fvD29sbQoh0vR9OTk749OkTjh8/jpCQEERHR6NEiRLo1q0bevbsiT179iAgIAD+/v6YNWsWDh06lObre3p64ty5c2plzqhhw4bh4cOHKgO1nz9/jjdv3qTozSHKFTQ43oeIRNKA4latWqU6zcfHR9jZ2Ql9fX3h6ekpNmzYIACIjx8/CiFUB5DGxcWJzp07i0KFCgmpVCrs7e3Fjz/+qDKI9vLly6Jx48bCyMhIGBoaigoVKog//vgjzWypDZD90tKlS0WRIkWErq6uKFGihMog2L1794rq1asLExMTYWhoKGrUqCH+/fdf5fQvBxTv379fFCtWTOjo6AhHR0chRMoBxcmqVq0qAIgTJ06kmJZZ2/nixQuho6Mjtm/fLoT49vshhBCDBw8WlpaWAoDw9vYWQggRHx8vfvnlF+Hk5CR0dXWFra2taNOmjbh161aamT58+CD09fXFgwcPvpkzvdOFSLnPkw0YMECULVtWyOVyIYQQ06dPF56enl9dF1FOJRHis8tSEhFRjjFu3DiEh4djxYoV2fq6cXFxKF68OLZu3YqaNWtm62sTZQYeliIiyqEmT54MR0fHbL9K8IsXLzB58mQWNpRrseeGiIiI8hT23BAREVGewuKGiIiI8hQWN0RERJSnsLghIiKiPIXFDREREeUpLG6IiIgoT2FxQ0RERHkKixsiIiLKU1jcEBERUZ7yP16Adyv/WysZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Initializing ensemble model through voting classifier\n",
    "voting_classifier = VotingClassifier(estimators=[('random_forest', random_forest_model),('adaboost', adaboost_model),\n",
    "                                                 ('bagging', bagging_model)], voting='soft')\n",
    "#Training the ensemble model     \n",
    "voting_classifier.fit(X_train, y_train)\n",
    "y_pred_voting = voting_classifier.predict(X_test)\n",
    "y_proba = voting_classifier.predict_proba(X_test)[:, 1]\n",
    "#evaluation matrices of model\n",
    "accuracy_voting = accuracy_score(y_test, y_pred_voting)\n",
    "precision_voting = precision_score(y_test, y_pred_voting)\n",
    "recall_voting = recall_score(y_test, y_pred_voting)\n",
    "f1_voting = f1_score(y_test, y_pred_voting)\n",
    "\n",
    "#Confusion Matrix of ensemble model\n",
    "conf_matrix = confusion_matrix(y_test, y_pred_voting)\n",
    "\n",
    "print(\"Voting Classifier:\")\n",
    "print(f\"Accuracy: {accuracy_voting:.5f}\")\n",
    "print(f\"Precision: {precision_voting:.5f}\")\n",
    "print(f\"Recall: {recall_voting:.5f}\")\n",
    "print(f\"F1 Score: {f1_voting:.5f}\")\n",
    "print(f\"Confusion Matrix:\\n{conf_matrix}\")\n",
    "disp = ConfusionMatrixDisplay(confusion_matrix=conf_matrix, display_labels=voting_classifier.classes_)\n",
    "fig, ax = plt.subplots(figsize=(8, 6))\n",
    "disp.plot(cmap=plt.cm.Blues, values_format='.0f', ax=ax)\n",
    "ax.set_title('Confusion Matrix of Ensemble model')\n",
    "    \n",
    "#ROC-AUC Curve\n",
    "fpr, tpr, thresholds = roc_curve(y_test, y_proba)\n",
    "roc_auc = roc_auc_score(y_test, y_proba)\n",
    "\n",
    "#Plotting ROC-AUC Curve\n",
    "plt.figure()\n",
    "plt.plot(fpr, tpr, color='darkorange', lw=2, label='ROC curve (area = {:.2f})'.format(roc_auc))\n",
    "plt.fill_between(fpr, tpr, color='lightcoral', alpha=0.3, label='Area under ROC')\n",
    "plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--')\n",
    "plt.xlabel('False Positive Rate (FPR)')\n",
    "plt.ylabel('True Positive Rate (TPR)')\n",
    "plt.title('ROC-AUC Curve of Ensemble model')\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "79de28a3",
   "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}