{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# загрузка данных"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Rank</th>\n",
       "      <th>Name</th>\n",
       "      <th>Networth</th>\n",
       "      <th>Age</th>\n",
       "      <th>Country</th>\n",
       "      <th>Source</th>\n",
       "      <th>Industry</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Elon Musk</td>\n",
       "      <td>219.0</td>\n",
       "      <td>50</td>\n",
       "      <td>United States</td>\n",
       "      <td>Tesla, SpaceX</td>\n",
       "      <td>Automotive</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Jeff Bezos</td>\n",
       "      <td>171.0</td>\n",
       "      <td>58</td>\n",
       "      <td>United States</td>\n",
       "      <td>Amazon</td>\n",
       "      <td>Technology</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Bernard Arnault &amp; family</td>\n",
       "      <td>158.0</td>\n",
       "      <td>73</td>\n",
       "      <td>France</td>\n",
       "      <td>LVMH</td>\n",
       "      <td>Fashion &amp; Retail</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Bill Gates</td>\n",
       "      <td>129.0</td>\n",
       "      <td>66</td>\n",
       "      <td>United States</td>\n",
       "      <td>Microsoft</td>\n",
       "      <td>Technology</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Warren Buffett</td>\n",
       "      <td>118.0</td>\n",
       "      <td>91</td>\n",
       "      <td>United States</td>\n",
       "      <td>Berkshire Hathaway</td>\n",
       "      <td>Finance &amp; Investments</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2595</th>\n",
       "      <td>2578</td>\n",
       "      <td>Jorge Gallardo Ballart</td>\n",
       "      <td>1.0</td>\n",
       "      <td>80</td>\n",
       "      <td>Spain</td>\n",
       "      <td>pharmaceuticals</td>\n",
       "      <td>Healthcare</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2596</th>\n",
       "      <td>2578</td>\n",
       "      <td>Nari Genomal</td>\n",
       "      <td>1.0</td>\n",
       "      <td>82</td>\n",
       "      <td>Philippines</td>\n",
       "      <td>apparel</td>\n",
       "      <td>Fashion &amp; Retail</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2597</th>\n",
       "      <td>2578</td>\n",
       "      <td>Ramesh Genomal</td>\n",
       "      <td>1.0</td>\n",
       "      <td>71</td>\n",
       "      <td>Philippines</td>\n",
       "      <td>apparel</td>\n",
       "      <td>Fashion &amp; Retail</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2598</th>\n",
       "      <td>2578</td>\n",
       "      <td>Sunder Genomal</td>\n",
       "      <td>1.0</td>\n",
       "      <td>68</td>\n",
       "      <td>Philippines</td>\n",
       "      <td>garments</td>\n",
       "      <td>Fashion &amp; Retail</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2599</th>\n",
       "      <td>2578</td>\n",
       "      <td>Horst-Otto Gerberding</td>\n",
       "      <td>1.0</td>\n",
       "      <td>69</td>\n",
       "      <td>Germany</td>\n",
       "      <td>flavors and fragrances</td>\n",
       "      <td>Food &amp; Beverage</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2600 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      Rank                        Name  Networth  Age        Country  \\\n",
       "0         1                 Elon Musk      219.0   50  United States   \n",
       "1         2                Jeff Bezos      171.0   58  United States   \n",
       "2         3  Bernard Arnault & family      158.0   73         France   \n",
       "3         4                Bill Gates      129.0   66  United States   \n",
       "4         5            Warren Buffett      118.0   91  United States   \n",
       "...     ...                        ...       ...  ...            ...   \n",
       "2595   2578    Jorge Gallardo Ballart        1.0   80          Spain   \n",
       "2596   2578              Nari Genomal        1.0   82    Philippines   \n",
       "2597   2578            Ramesh Genomal        1.0   71    Philippines   \n",
       "2598   2578            Sunder Genomal        1.0   68    Philippines   \n",
       "2599   2578     Horst-Otto Gerberding        1.0   69        Germany   \n",
       "\n",
       "                      Source                Industry  \n",
       "0              Tesla, SpaceX             Automotive   \n",
       "1                     Amazon             Technology   \n",
       "2                       LVMH       Fashion & Retail   \n",
       "3                  Microsoft             Technology   \n",
       "4         Berkshire Hathaway  Finance & Investments   \n",
       "...                      ...                     ...  \n",
       "2595         pharmaceuticals             Healthcare   \n",
       "2596                 apparel       Fashion & Retail   \n",
       "2597                 apparel       Fashion & Retail   \n",
       "2598                garments       Fashion & Retail   \n",
       "2599  flavors and fragrances        Food & Beverage   \n",
       "\n",
       "[2600 rows x 7 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "df = pd.read_csv(\"C://Users//annal//aim//static//csv//Forbes_Billionaires.csv\")\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# входные и выходные переменные:\n",
    "# входные: age и country\n",
    "# выходные: networth"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# создание лингвистических переменных"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import skfuzzy as fuzz\n",
    "from skfuzzy import control as ctrl\n",
    "age_cat = ctrl.Antecedent(df[\"Age\"].sort_values(), \"age_cat\")\n",
    "networth = ctrl.Antecedent(df[\"Networth\"].sort_values(), \"networth\")\n",
    "rank = ctrl.Consequent(df[\"Rank \"].sort_values(), \"rank\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# формирование нечетких переменных для лингвистических переменных и их визуализация¶"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\annal\\aim\\.venv\\Lib\\site-packages\\skfuzzy\\control\\fuzzyvariable.py:125: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
      "  fig.show()\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cs3MKPLoOXRaDta3qNHmjTFOo84l+aokHV1SnESLXLDi+gNuPbxPcMBhbK+O9vqW4yUOj2lbC08WB4avCSZPmKWGOboRB2EJ4LRAKG+ft6lzTciI4e0FIX/1UE0KYmaNRR/np7E8MqDGAsgXKqo7zUlLc5CEnOxtmd/PjWMQjvtt3VXUcIQwrOV7/i93bH+r3U50m79nlgy6L4OZhCFugOo0QBpWQkkDg/kCqF67O+1XeVx3nlaS4yWN1SrnzccPSzNl6kYtRj1XHEcJwto2HJ1HQ5RuwsladRo2S9fWF3c4pEH1OdRohDGbu0bk8SHzAlIApWJvA9S3FjQLDWlXE292RYSvDSUmT3hXCDFzdDUeWQouJUNC4b1fnutfGgVtp/Rg/aSmq0wiRY2F3wlhxYQWDaw6mhEsJ1XEyRYobBRxsrZnTvTpn78axaLc8fChMXGIsrOkPpRtDnY9Vp1HP1gG6LtKPzrz/S9VphMiRx8mPCToQhL+XP29Xelt1nEyT4kaR6t4F6NukLPN3XOL07VjVcYTIvi1j4GkMdF4IVvIjBYBitaDRUNgzA+6Gq04jRLbNOjKLx8mPmRQwCSuN6VzfppPUDA1sXp5yhfMzfFU4SanSu0KYoItb4PjP0GaqftZv8V+NR0Chyvoxf1KTVKcRIsv23NzD6surGVFnBEXzF1UdJ0ukuFHIzsaKud2rc+XeE77afkl1HCGyJuEhrB0A5VtBDePvPZHnbOz0zVP3L+rv4AhhQmISY5gQNoFGxRrRtVxX1XGyTIobxaoUdWFQ8/Is3nOF4xGPVMcRIvM2jdDfkeg4HzQa1WmMk5cPNB2pf/bm1t+q0wiRaVMPTyU5LZkJDSagMcHrW4obI9CnSVl8irkybFU4iSnSPCVMwNk1cGoVtJsFLkVUpzFuAUOgSHV976mUp6rTCPFKW69vZdO1TYz2H01hp8Kq42SLFDdGwMbaijnd/bj16CmztlxQHUeIl3tyD9YPgcodwaeb6jTGz9pGPzN6TATsmKw6jRAv9eDpA6YcnEKLEi1oX7q96jjZJsWNkShX2JkvWlVkWeg1Dl19oDqOEM+n08H6wfo/t/9SmqMyq1BFaD4ODn4D10NVpxHiuXQ6HZPCJgEQWC/QJJuj/iHFjRH5qGFpapd0Y/gf4cQnpaqOI8SzTq2C8+uhwzzIX0h1GtNS73MoUU8/RUXSE9VphHjG+qvr2XlzJ0H1gyjoWFB1nByR4saIWFtpmN3Nj/uPk5m6UYZuF0Ym7g5sHK5viqrSSXUa02NlrZ+aIv6efvZwIYxIVHwU0w5Po13pdrQo2UJ1nByT4sbIlCyYjzHtKvHLoQj2XrynOo4QejodrB0INo7QdqbqNKbLvQy0nAR/fw9XdqpOIwSgb44aHzYeB2sHxviPUR3HIKS4MUI9/EsSUK4gI/88SexTmZtGGIFjP8HlbdDpa3ByV53GtNXuDaWb6KesSJTRyYV6f136i9DboUxoMAFXe1fVcQxCihsjZGWlYeabfjxOTGXy+rOq4whL9+iGfoqFGu9DhVaq05g+Kyv9VBWJcbB5tOo0wsLdfnKbmUdm0rVcVxoXb6w6jsFIcWOkihVwJKhDFf44eottZ6NUxxGWSquFNf3A0Q1aT1WdxnwU8IY20+DEL3Bhk+o0wkJpdVqCQoNwtXdlRJ0RquMYlBQ3Rqxb7eK8Vqkwo/86xaP4ZNVxhCU68h1c3wedF4CDi+o05qXGe1C+tf5ZpoSHqtMIC/Tb+d84HHmYSQGTyG+XX3Ucg5LixohpNBqmv+5DSpqWcWtOq44jLM2DK/pePXU+gTJNVacxPxoNdJoPacn6XmhC5KEbcTeYd3Qeb1d8m3pF6qmOY3BS3Bi5wi4OTOpclfUn77L+5B3VcYSl0Kbpx2Nx9oKWE1WnMV/OXtB+Dpz+E86sVp1GWIg0bRpj94+lkFMhhtQaojpOrpDixgR08itK22pejAs5zb3HSarjCEsQtgBuHtZPG2CXT3Ua81btDajcCdYPhSfRqtMIC/DT2Z84ee8kUwKm4GTrpDpOrpDixgRoNBqmdKmGlUbD6L9OodPpVEcS5iz6HOycAg3660fUFblLo4EOX4LGCtYN1o8pJEQuufzoMl8f/5qeVXpS07Om6ji5Rnlxs3DhQkqVKoWDgwP+/v4cPnz4pevPmzePihUr4ujoiLe3N0OGDCExMTGP0qpTML89wV192H4uir+O3VYdR5irtBT97NVupaFZoOo0liOfB3ScBxc2wMkVqtMIM5WiTWFs6Fi8nb0ZUHOA6ji5Smlxs2LFCoYOHcr48eM5duwYfn5+tG7dmujo59+a/fXXXxk1ahTjx4/n3LlzfP/996xYsYIxY8xjRMVXaVPNi641ijFh3Rnuxj5VHUeYo/1fQuQp6LoIbB1Up7EslTuC71uwcQTEyhcYYXjfnfqOCw8vENwwGHtre9VxcpXS4mbu3Ll88sknfPjhh1SpUoXFixfj5OTEsmXLnrv+gQMHCAgI4N1336VUqVK0atWKd95555V3e8zJhI5VcbKzZsQfJ6V5ShjW3ZOwZwY0GgrFaqlOY5nazgA7J1g7QJqnhEGde3COJeFL6O3Tm2oe1VTHyXXKipvk5GSOHj1Kixb/naDLysqKFi1aEBYW9txtGjRowNGjR9OLmatXr7Jx40batWv3wuMkJSURFxeX4WXKXJ1smf6GL/su3ee3wzdVxxHmIjVJ3xxVqDI0Nq/BvEyKo5t+iosrO+DoctVphJlITktmzP4xlC1Qlj6+fVTHyRPKipv79++TlpaGp6dnhuWenp5ERkY+d5t3332XSZMm0bBhQ2xtbSlbtixNmzZ9abPUtGnTcHV1TX95e3sb9DxUaFaxMG/X8WbKhrPcfJigOo4wB3tmwP2L+t5RNnaq01i28i2hZk/YGgiPrqtOI8zAovBFXI+7TnDDYGytbVXHyRPKHyjOit27dzN16lS++eYbjh07xl9//cWGDRuYPHnyC7cZPXo0sbGx6a+bN83jbsfY9pVxc7Jj+KpwtFq5fS1y4Nbf+mdtmo4EL/O/XW0SWgWDozuE9NNPgSFENoXfC2fZ6WX09etLRfeKquPkGWXFjYeHB9bW1kRFZZw3KSoqCi8vr+duM27cON5//30+/vhjfHx86Nq1K1OnTmXatGloX/ADwN7eHhcXlwwvc+DsYMusbr4cuvaQ5Qeuq44jTFXKU31zVJHqEGCeg3mZJAcX6LIQbuyHw0tUpxEm6mnqUwL3B1LFvQofVftIdZw8pay4sbOzo1atWuzYsSN9mVarZceOHdSvX/+52yQkJGBllTGytbU1gEU+XNugrAcfNCjFjM3nuXLvieo4whTtmAwxEfrmKGsb1WnE/yrdGOp+BtsnwP3LqtMIEzT/2HzuPLlDcMNgbKws6/pW2iw1dOhQli5dyo8//si5c+fo27cv8fHxfPjhhwD07NmT0aNHp6/fsWNHFi1axO+//861a9fYtm0b48aNo2PHjulFjqUZ0aYiRVwdGL4qnDRpnhJZcT0UDn4DzYOgkOXcrjYpLcaDSxEI6aOfEkOITDoSeYRfzv3CwJoDKVOgjOo4eU5pKffWW29x7949goKCiIyMpHr16mzevDn9IeOIiIgMd2oCAwPRaDQEBgZy+/ZtChUqRMeOHQkODlZ1Cso52dkwp7sf3RaHsWTvVfo2Las6kjAFSU/0c0eVqAf1+qpOI17ELh90WQw/tIED86GhNB2KV0tISWBc6DhqFK7Be5XfUx1HCY3Owtpz4uLicHV1JTY21myevwGYtvEcP4ReZ92AhlT0clYdRxi79UMh/DfoGwrulvetzuRsHQeHFsOne8Cziuo0wshNDpvMuqvr+LPjn3i7mH4P4ewwqd5S4sWGtKxAyYJODF15gpQ06V0hXuLKTvj7e2g5SQobU9FsrP6zWv2ZfooMIV7gwO0DrLy4kqG1hlpsYQNS3JgNB1tr5navzvnIxyzYKQ8fihdIjIU1/aFMU6jdW3UakVm2DvqHvqPOwL45qtMIIxWXHEfQgSDqFalH94rdVcdRSoobM+JT3JV+zcqxcNdlTt2KVR1HGKPNoyHpMXRaAFZy+ZuUojWg8XDYOwvunFCdRhihGYdnEJ8Sz6QGk7DSWPb1bdlnb4b6NytHBU9nhq06QVKq9K4Q/+PCJjjxC7SZBgUs93a1SWs0HApX1o9NlJqkOo0wIrsidrH2ylpG1BlBkfxFVMdRToobM2NnY8Xct/y4dj+eL7ddUh1HGIuEh7B2IFRoA9V7qE4jssvGDrp+Cw8uw66pqtMIIxGTGMPEsIk0Kd6ELuW6qI5jFKS4MUOVvFwY3KICS/Ze4eiNR6rjCGOwcTikJUPHr0CjUZ1G5IRnVWg2Wt81/OZh1WmEEQg+FEyKNoXx9cejkesbkOLGbH3WuAy+xQswfFU4T5OlecqinVkNp/+E9nPA+flTmwgT02AQFK2pb55KlslzLdnm65vZfH0zY/3HUsipkOo4RkOKGzNlY23FnO5+3Il5yswt51XHEao8idaPaVOlM1R7Q3UaYSjWNvreU3G3Ycck1WmEIvef3if4YDAtS7akbem2quMYFSluzFjZQvkZ0aYSP4ReJ+zKA9VxRF7T6WDdYNBYQfu50hxlbjzKQ/PxcGgRXNunOo3IYzqdjolhE7HSWBFYL1Cao/5Fihsz92GDUtQt7c4Xf4TzJClVdRyRl06ugAsb9M/Z5PNQnUbkBv8+UDIA1nyu7+IvLMa6q+vYfXM3QfWDcHdwVx3H6EhxY+asrDTMftOPh/HJBG84pzqOyCuxt2HjCPB9Cyp3UJ1G5BYrK+i8EOIfwNZA1WlEHomMj2T6oel0KNOB5iWaq45jlKS4sQAlCjoxpl1lfjscwZ6L91THEblNp4O1A8DOCdrOUJ1G5Db30tBqMhxdDpe3q04jcplOp2P8gfE42jgyqu4o1XGMlhQ3FqKHfwkalfdg5B8niX0qc9OYtaPL4coO/SjEjm6q04i8UPsjKNMM1gyApzGq04hctOriKg7cOcDEgIm42ruqjmO0pLixEBqNhhlv+BKflMrEdWdUxxG55dF1ffNEzV5QvoXqNCKvaDTQeQEkP4HN8m3eXN18fJPZf8/mjfJv0LBYQ9VxjJoUNxakaAFHxneqyl/HbrP1TKTqOMLQtFoI6QeO7tA6WHUakddci+ubIcN/g/MbVKcRBqbVaQkKDcLN3o0v6nyhOo7Rk+LGwrxRsxgtKhdmzOpTPIxPVh1HGNLhJXBjP3RZCPbOqtMIFfzegQptYd0g/UPGwmz8eu5X/o76m8kBk8lnm091HKMnxY2F0Wg0TH3dh1StjnEhp1XHEYZy/zJsnwB1P4PSjVWnEapoNPqu/9pU2DBUdRphINdirzHv2DzerfQudYvUVR3HJEhxY4EKOzswuXM1Npy6y7rwO6rjiJzSpkFIH3ApCi0mqE4jVHP21E+1cTZEP+2GMGmp2lQCQwPxyufF4FqDVccxGVLcWKiOfkVp71uEcWtOE/04UXUckRMH5sPto9Blkb77txDV3oCqXWHDMHgcpTqNyIHlZ5Zz+v5ppgRMwdHGUXUckyHFjQWb3LkaNlYaRv95Cp1OpzqOyI6os7BrKjQYACX8VacRxqTdHLCygXUD9WMfCZNz8dFFvjnxDb2q9qJ64eqq45gUKW4smHs+O6a97suO89H8cfSW6jgiq9JSYPVn4F4Gmo5RnUYYm3wFoeN8uLgZTvyqOo3IohRtCoH7AynhXIJ+1fupjmNypLixcC2rePJ6zWJMWneWOzFPVccRWbFvDkSd0c8ObeugOo0wRpXa6XtQbR4FsfIFxpQsPbmUi48uEtwoGHtre9VxTI4UN4LxHauSz96GkX+elOYpU3HnBOydBY2HQ9EaqtMIY9ZmOtjlhzX9pXnKRJx5cIYlJ5fwie8nVC1YVXUckyTFjcDV0ZYZb/qy79J9fjkUoTqOeJXUJFjdBwpXgUbDVacRxs6xAHT+Gq7ugr+XqU4jXiEpLYnA/YFUcKvApz6fqo5jsqS4EQA0qVCId/1LMHXjOSIeJKiOI15m11R4cFnfHGVjpzqNMAXlWkCtD2HrOHh4TXUa8RILTyzketx1pjScgq21reo4JkuKG5FuTLvKuOezY/iqcLRauX1tlG4e1nf9bjYGPOV2tciCVpP1DxmHfK6fqkMYnRPRJ/jxzI/0q96PCm4VVMcxaVLciHT57W2Y3c2Pw9cfsixUvt0ZneQEfXNU0ZrQYKDqNMLU2Dvrx0KKOACHFqlOI/7laepTAkMDqVawGh9U/UB1HJMnxY3IoF6ZgnwYUIpZWy5wOfqJ6jjif+2YBHG39c1R1jaq0whTVKoh+PfV/1u6d1F1GvE/vjr2FZHxkUxpOAUbK7m+c0qKG/GMEa0rUayAI8NWhZOaJrevjcK1ffpv283Hg0d51WmEKWsepJ9BPKQPpKWqTiOAw3cP88u5XxhUcxClXUurjmMWpLgRz3C0s2Z2dz9O3Yrh271XVccRSY9hzedQsiH491GdRpg6OyfoshjuHIcDX6lOY/HiU+IZFzqO2p616VG5h+o4ZkOKG/FcNUu48VmTsszbfpFzd+NUx7FsWwMh/gF0XgBWcskKA/CuAwGDYNc0iDytOo1Fm3VkFo+SHjEpYBJWGrm+DUX+T4oXGtyiPGU88jNsZTjJqdI8pcTl7XB0ObSeAu5yu1oYUNPR+ibOkD6Qmqw6jUXaf3s/f176k+G1h+Pt7K06jlmR4ka8kL2NNXO6+3Ex6jELdl5SHcfyPI2BNQOg7Gv6MUqEMCQbe33vqehz+tGuRZ6KTYpl/IHxNCjagG4VuqmOY3akuBEvVa2YK/1fK8fC3Vc4eStGdRzLsnkUJMdDp69Bo1GdRpijotWh8Rf6ecpuH1OdxqLMODyDpylPmdhgIhq5vg1OihvxSv2alaNyEWeGrgwnMSVNdRzLcH4DhP8Gbafre7YIkVsaDQOvavoxlFISVaexCDsidrDu6jpG1h2JVz4v1XHMkhQ34pVsra2Y2706EQ8S+HKbjI2R6+IfwLpBUPH/Z3QWIjdZ20LXb+HRNdgVrDqN2XuU+IhJYZNo6t2UTmU7qY5jtqS4EZlSwdOZoa0qsGTfVf6+/lB1HPO2YShoU6HDPGmOEnmjcGVoNhYOfA0RB1WnMVs6nY7JByeTpktjfP3x0hyVi6S4EZn2SaMy1PAuwPBV4SQky+BfueL0n3A2BNrPBWdP1WmEJWkwAIrXgZC++me9hMFtvr6ZbTe2EVgvEA9HD9VxzJoUNyLTrK00zO7mR2RcIjM2nVcdx/w8joINw6BqV6j2uuo0wtJYWet7T8Xdhe0TVacxO/cS7hF8KJjWpVrTplQb1XHMnhQ3IkvKFMrPyDaV+DHsBgcu31cdx3zodLBuIFjZQrs5qtMIS+VRDlpMgMPfwtU9qtOYDZ1Ox8SwidhobBjrP1Z1HIsgxY3Isl71S1GvjDtf/HGSx4kpquOYhxO/wsXN0PEryFdQdRphyep+CqUawZr+kCijkxvCmitr2HNrD+Prj8fNwU11HIsgxY3IMisrDbPe9CMmIZngDedUxzF9sbf0Y9r4vQuV2qlOIyydlRV0XghPH8JWucuQU5Hxkcw4PINOZTvRrEQz1XEshhQ3Ilu83Z0I7FCF34/cZNf5aNVxTJdOp/+GbJcf2kxTnUYIPbeS0DoYjv0El7apTmOydDod40LH4WTrxMi6I1XHsShS3Ihse7uON00qFGLknyeJSZC5abLl72VwdZd+UkzHAqrTCPFfNXtBuRawdgA8faQ6jUlaeWElB+8eZHKDybjYuaiOY1GkuBHZptFomPGGL4kpaUxYe0Z1HNPz8BpsHaefN6pcc9VphMhIo9FP/ZGSAJvkrkNW3Yy7yZyjc+hWoRsNijVQHcfiSHEjcsTL1YEJnaoScuIOm0/fVR3HdGi1EPI55POAVpNVpxHi+VyKQtuZcHIFnFunOo3J0Oq0BIYG4u7gzrDaw1THsUhS3Igc61qjGK2qeDJ29WkePElSHcc0HFoEEQegyzdg76w6jRAv5vsWVOoA6wZDvAz/kBk/n/2ZY9HHmBwwmXy2+VTHsUhS3Igc02g0BHf1QavTMXb1aXQ6nepIxu3eRdgxCep9DqUaqk4jxMtpNNDhS9BpYf0Q/UPw4oWuxl7lq2Nf8V7l96jjVUd1HIslxY0wiELO9gR39WHzmUjWht9RHcd4paVCSB/9TN/Ng1SnESJz8hfWFzjn1uqnCBHPlapNJXB/IEXzF2VgzYGq41g0KW6EwbTzKUJHv6IErTlDVFyi6jjG6cBXcOc4dFkMto6q0wiReVW7QLU39FOExMnzdc/zw+kfOPPgDFMaTsHRRq5vlaS4EQY1qVNV7GysGPXnSWme+rfI07BrGgQMAm+5XS1MULvZYGMP6wZJ89S/XHh4gW/Cv+HDqh/iV8hPdRyLJ8WNMCi3fHZMf92HXRfuservW6rjGI/UZH1zlEd5aDpadRohssfJHTrOh0tb4PjPqtMYjZS0FMbuH0spl1J8Xv1z1XEEUtyIXNC8sifdahVn0vqz3HqUoDqOcdg7C6LP6WddtrFXnUaI7KvYBqr3gM2jISZCdRqj8O3Jb7kSc4XghsHYWdupjiOQ4kbkknEdq+DiYMOIP06i1Vr47evbx2DfHGj8BRStrjqNEDnXZho4uOqnDtFqVadR6vT903x36js+9f2UKgWrqI4j/p8UNyJXuDjYMuNNXw5cecDPh26ojqNOSiKs7gNe1aCRDOYlzISDK3T+Gq7tgb+/V51GmaS0JMbuH0sFtwp87Pux6jjif0hxI3JNo/KFeK9eCaZtPM/1+/Gq46ixKxgeXYOu34K1reo0QhhO2degdm/YFgQPrqhOo8SC4wu4+fgmUxtOxdZKrm9jIsWNyFWj21amkLM9w1eFk2ZpzVMRB+HA19BsLBSurDqNEIbXcpJ+DJw1/UCbpjpNnjoefZwfz/xI/xr9KedWTnUc8S9S3Ihclc/ehllv+nI04hHL9l9THSfvJMdDSF8oXgcaDFCdRojcYZ8fOn+jL+QPfqM6TZ5JSElg7P6x+BbypVeVXqrjiOeQ4kbkOv8yBfkooDSztl7gcvRj1XHyxvYJ+oHOuiwCK2vVaYTIPaUC9FOJ7JgM9y6oTpMn5h2bx72Ee0wJmIK1XN9GSYobkSe+aF2R4m6ODFsZTmqamfeuuLoHDi+BFhPAQ25XCwvQfBwUKKF/eD4tVXWaXHXw7kF+O/8bg2sNppRrKdVxxAtIcSPyhIOtNXO6+XHqdiyL95jxw4eJcfrnD0o1grqfqk4jRN6wdYSui+HuCQj9UnWaXPMk+QlBoUHU8arDO5XeUR1HvIQUNyLP1CjhRt+mZflqxyXO3olTHSd3bB0LTx9B54VgJZeXsCDFa0PDIbB7BkSeUp0mV8z6exaxSbFMDpiMlUaub2Om/NNZuHAhpUqVwsHBAX9/fw4fPvzS9WNiYujXrx9FihTB3t6eChUqsHHjxjxKK3JqYPPylC2Un6ErT5CcambNUxe3wrGfoHUwuJVUnUaIvNdkJHhU0DdPpSarTmNQe2/t5a9Lf/FFnS8olr+Y6jjiFbJd3OzYsYMOHTpQtmxZypYtS4cOHdi+fXuW9rFixQqGDh3K+PHjOXbsGH5+frRu3Zro6Ojnrp+cnEzLli25fv06f/zxBxcuXGDp0qUUKyb/0EyFvY01c7r7cTn6CfN3XFIdx3ASHsLaAVCuBdSU3hPCQtnY65un7p2HPTNUpzGY2KRYJhyYQECxAN4o/4bqOCITslXcfPPNN7Rp0wZnZ2cGDRrEoEGDcHFxoV27dixcuDDT+5k7dy6ffPIJH374IVWqVGHx4sU4OTmxbNmy566/bNkyHj58SEhICAEBAZQqVYomTZrg5yczsJqSqkVdGdi8PIv2XOHEzRjVcQxj00hIfQqdvgaNRnUaIdQp4qu/g7P/S7h1VHUag5h2eBqJaYlMrD8RjVzfJkGj02V93vrixYszatQo+vfvn2H5woULmTp1Krdv337lPpKTk3FycuKPP/6gS5cu6ct79epFTEwMa9aseWabdu3a4e7ujpOTE2vWrKFQoUK8++67jBw5Emvr53fHS0pKIikpKf3vcXFxeHt7Exsbi4uLSybPWBhaSpqWNxYdID4plQ0DG+Fga8LdKc+uhZXv60ch9ntbdRoh1EtLge9b6sd7+myv/oFjE7X9xnaG7B7C1IZT6Vi2o+o4IpNssrNRTEwMbdq0eWZ5q1atGDlyZKb2cf/+fdLS0vD09Myw3NPTk/Pnzz93m6tXr7Jz50569OjBxo0buXz5Mp9//jkpKSmMHz/+udtMmzaNiRMnZiqTyDu21lbM6eZH+6/3M2frBca2N9EJ5+Lvw/ohUKkD+L6lOk226HQ6UlPNu/uuKbO2tsbK1B5Ot7aFLovh28awc4r+OTQT9ODpAyYfnMxr3q/RoUwH1XFEFmSruOnUqROrV6/miy++yLB8zZo1dOiQe/8AtFothQsXZsmSJVhbW1OrVi1u377NrFmzXljcjB49mqFDh6b//Z87N0K98p7ODG9VgWmbztOyihd1S7urjpQ1Oh2sHww6LXT40iSbo1JTU7l37x7ZuIEr8pCTkxOurq6m1SRSuBK8Fqife6pSeyjZQHWiLNHpdEw5OAWtTsu4+uNM6/+9yF5xU6VKFYKDg9m9ezf169cH4ODBg4SGhjJs2DDmz5+fvu7AgQOfuw8PDw+sra2JiorKsDwqKgovL6/nblOkSBFsbW0zNEFVrlyZyMhIkpOTsbOze2Ybe3t77O3ts3yOIm/0bliGrWeiGL4qnE2DGpHPPlv/JNU49QecWwfdftTPr2NidDodMTExWFlZ4ebmJj+8jZBOpyM5OZm4OP3QCQUKFFAbKKvq94PzG/RTkfQJ1U/XYCI2XtvI9ojtzGkyBw9HD9VxRBZl65mb0qVLZ27nGg1Xr1594fv+/v7UrVuXr7/+GtDfmSlRogT9+/dn1KhRz6w/ZswYfv31V65evZp+m/arr75ixowZ3LlzJ1OZ4uLicHV1lWdujMj1+/G0/Wofb9YqzuQu1VTHyZy4u/BNPSjXHN58/gPwxi4tLY2oqCjc3NxwdDTdZyIswZMnT4iLi8PLy8v0mqgeXIHFDaH6u9B+juo0mRKdEE2XNV1oWLQhM5vMVB1HZEO2viZfu2aYCRCHDh1Kr169qF27NnXr1mXevHnEx8fz4YcfAtCzZ0+KFSvGtGnTAOjbty8LFixg0KBBDBgwgEuXLjF16tQX3h0SpqGURz5Gta3E+LVnaF3Vi4bljfxbkk4H6wbqu722m606TbZptfpxhl70ML4wHv/clU5LSzO94qZgWWgxETZ9oX82rWwz1YleSqfTMeHABOyt7RnjP0Z1HJFNStsA3nrrLe7du0dQUBCRkZFUr16dzZs3pz9kHBERkeFC9vb2ZsuWLQwZMgRfX1+KFSvGoEGDMv0QszBe79cryZYzkYz4I5zNQxrj4mCrOtKLHf8ZLm2Fd1aAk4k9J/Qc0hxl/Ez+M6rzMZxfB2v6w+cHwMFVdaIXWn15Nftu72PBawso4FBAdRyRTZlulho6dCiTJ08mX758GR7QfZ65c+caJFxukGYp43XrUQJt5u2jnY8XM9800rGLYiLgmwZQpTN0yfyYTsYoJSWFe/fuUahQIWxtjbiYFObxWf1z7VTtrJ+exAjdeXKH19e+TsuSLZkcMFl1HJEDmb5zc/z4cVJSUtL//CIm/w1DKFPczYlxHSoz8s9TtK7qRfPKnq/eKC9ptfpJMR1coc1U1WmEMC0FSuivm7UDoFJHqPjscCIqaXVagkKDcLZzZkSdEarjiBzKdHGza9eu5/5ZCEPqXtubzacjGfXXKbYOdsMt37M94JT5+3u4thfeDzHq2+rmrmnTplSvXp158+apjiKyqsb7+h6G6waC90GjatZdcWEFhyIPsaTlEpztnFXHETlkYk+mCXOn0WiY/oYvyalaxq89ozrOfz24oh+vo3Zvo38gUgijpdFAx/mQmgQbv3j1+nkkIi6CL49+yVsV36J+0fqq4wgDyFZxEx8fz7hx42jQoAHlypWjTJkyGV5C5ISniwMTO1VlbfgdNp66qzoOaNMg5HP9WDYtJ6lOI4RpcykC7WbB6T/gTIjqNKRp0wgMDaSgQ0GG1nr586TCdGSrt9THH3/Mnj17eP/99ylSpIg8ZyMMrnP1omw+HUlgyGnqlnbHI7/CgRgPfgM3D8GHG01qEDJL8OjRIwYNGsS6detISkqiSZMmzJ8/n/Lly6PT6ShcuDCLFi3izTffBKB69epERUVx966+aN6/fz/Nmzfn0aNHODk5qTwVy+LTDc6thQ1DoWQA5C+kLMp/zv6HE9En+KHNDzjZyr8Bc5Gt4mbTpk1s2LCBgIAAQ+cRAtA3T03pWo1WX+5lzF+n+Pb9WmqK6HsXYMdk/UirJjZ8fHY8TU7jyr0neX7csoXy42iX9fF2PvjgAy5dusTatWtxcXFh5MiRtGvXjrNnz2Jra0vjxo3ZvXs3b775Jo8ePeLcuXM4Ojpy/vx5KlWqxJ49e6hTp44UNnlNo4H2X8I3/vopTN76Wcn0JVdirvD18a95v8r71PKslefHF7knW8WNm5sb7u7G8yCYME8e+e2Z2rUafX4+RsiJ23StUTxvA6Slwuo+4FZSP0eOBbhy7wkdvt6f58ddP6Ah1Ypl7SHtf4qa0NBQGjTQF56//PIL3t7ehISE0K1bN5o2bcq3334LwN69e6lRowZeXl7s3r2bSpUqsXv3bpo0aWLw8xGZkL8QdJgHK9+HkyvBL28nnk3VpjJ2/1iKORdjQI0BeXpskfuyVdxMnjyZoKAgfvzxR/nGI3JVm2pF6Fy9KOPXnKF+GQ+8XB3y7uChX8LdE9B7O9haxvQEZQvlZ/2AhkqOm1Xnzp3DxsYGf3//9GUFCxakYsWKnDt3DoAmTZowaNAg7t27x549e2jatGl6cdO7d28OHDjAiBHS7VeZKp30TVSbvoDSjcClaJ4d+vtT33Pu4Tl+bvszDjZ5+HNF5IlMFzc1atTI0Cxw+fJlPD09KVWq1DODSh07dsxwCYXFm9ipKmFXHjDyz5Ms/7BO3jRPRZ6C3TOg4RAobjm3qx3trLN8B8WY+fj44O7uzp49e9izZw/BwcF4eXkxY8YMjhw5QkpKSvpdH6FI25lwbZ9+/Jsef+RJ89T5h+dZHL6Y3tV641PIJ9ePJ/JepoubLl265GIMIV6sgJMdM97w5cPlR1hx5CZv1y2RuwdMTdY3RxWqCE1kag9jVblyZVJTUzl06FB6gfLgwQMuXLhAlSpVAP2zW40aNWLNmjWcOXOGhg0b4uTkRFJSEt9++y21a9cmX758Kk9DOLlDp6/h125w7Ceo1StXD5eclszY/WMpU6AMffz65OqxhDqZLm7Gjx+fmzmEeKlmlQrzVm1vJq8/S0A5D7zdc7E5dM8MuHcePtmlnxxTGKXy5cvTuXNnPvnkE7799lucnZ0ZNWoUxYoVo3PnzunrNW3alGHDhlG7dm3y59c3fzVu3JhffvmFL74wnrFWLFqFVvoB/raMgTJN9c+55ZLF4Yu5GnOV3zr8hp21EQ0SKgwqW+Pc3Lx5k1u3bqX//fDhwwwePJglS5YYLJgQ/xbYoTIFnOwY8cdJtNpMTYmWdbeOwv4vockoKOKbO8cQBvPDDz9Qq1YtOnToQP369dHpdGzcuDFDU3mTJk1IS0ujadOm6cuaNm36zDKhWOup4Oimn+Lk/2esN7ST907y/env6ePXh0rulXLlGMI4ZHrizP/VqFEjPv30U95//30iIyOpUKEC1apV49KlSwwYMICgoKDcyGoQMnGmaQu9fJ8e3x1iQscqfBBQ2rA7T3kK3zYGu3z6h4its/W8vckwi8kYLYTFfFZXd8NPnfXP4fh/ZtBdJ6Ym0m1dN/LZ5uPndj9jY2Xe17ely9adm9OnT1O3bl0AVq5ciY+PDwcOHOCXX35h+fLlhswnRAYB5TzoWb8k0zef59r9eMPufOcUeHQDuiw2+8JGCKNUpinU+QS2jddPeWJAXx//mjtP7hDcMFgKGwuQreImJSUFe3v9swjbt2+nU6dOAFSqVCl95E8hcsuotpXwdHFg2MoTpBmqeerGAQhbqB/PprDcrhZCmZYTwdlL/1C/Ns0guzwadZT/nP0PA2oMoGyBsgbZpzBu2SpuqlatyuLFi9m3bx/btm2jTRv91PV37tyhYMGCBg0oxL852dkwp5sfx2/G8N2+qznfYdITCOkL3v76kYiFEOrY5YOui+HWEQhbkOPdJaQkELg/kOqFq/N+lfcNEFCYgmwVNzNmzODbb7+ladOmvPPOO/j5+QGwdu3a9OYqIXJT7VLufNKoDHO2XuRi1OOc7Wz7eHgSDV2+AausTwEghDCwEvWgQX99U3H0uRztau7RuTxIfMCUgClYy/VtMbLc8KjT6ShTpgwRERGkpqbi5uaW/t6nn34qIxaLPDO0ZQV2no9m2Mpw/vq8AbbW2ajVr+yCI99Bu9lQUG5XC2E0mgXCxa365qmPt4N11h+kPnDnACsurGCM/xhKuOTy+FjCqGT5t4FOp6NcuXJERkZmKGwASpUqReHChQ0WToiXcbC1Zk43P87ejeObXdl4+DAxFtb0h9KNoXZvwwcUQmSfrQN0XaQfLXzf3Cxv/jj5MUGhQfh7+fNWxbydt0qol+XixsrKivLly/PgwYPcyCNElvh5F+DzpmX5euclTt+OzdrGW8boC5zOC8EqWy20QojcVKwWNBoKe2fC3fAsbTrzyEyepDxhUsAkrDRyfVuabH3i06dP54svvuD06dOGziNElg14rTzlPZ0ZtjKcpNRM9q64sBmO/wxtpkIBuV0thNFqPAIKVdY3T6UmZWqTPTf3EHI5hBF1RlA0f95NximMR7aKm549e3L48GH8/PxwdHTE3d09w0uIvGRnY8Xc7n5cvf+Er7ZfevUGCQ9h3UAo//9DvgshjJeNnb731P1LsHv6K1ePSYxhQtgEGhVrRNdyXfMgoDBG2RrJaN68eQaOIUTOVC7iwuAWFZiz9QItqnhSs4Tbi1fe+IX+G2DH+XkyA7EQIoe8qkHTUbArGCq2A+86L1x16qGpJKclM6HBBDRyfVusbBU3vXrl7qytQmTHZ43LsPVsFMNXhrNhYCMc7Z7T7fNMCJz+A17/DlyK5HlGIUQ2BQyGCxshpA98tg/snu2Zu+X6FjZd38T0RtMp7CSdWyxZtp+yunLlCoGBgbzzzjtER0cDsGnTJs6cOWOwcEJkhY21FXO6+XE75imztlx4doUn92DDUKjcEXzezPuAwmSlpaWhzaXJHEUmWdvop0aJvQU7Jz/z9v2n95lycAotSrSgXel2CgIKY5Kt4mbPnj34+Phw6NAh/vrrL548eQJAeHg448ePN2hAIbKiXOH8fNG6Ij8cuMbBq//To0+ng/WDAQ20/1Kao0zc5s2badiwIQUKFKBgwYJ06NCBK1f0wwE0aNCAkSNHZlj/3r172NrasnfvXgCSkpIYPnw4xYoVI1++fPj7+7N79+709ZcvX06BAgVYu3YtVapUwd7enoiICI4cOULLli3x8PDA1dWVJk2acOzYsQzHOn/+PA0bNsTBwYEqVaqwfft2NBoNISEh6evcvHmT7t27U6BAAdzd3encuTPXr1/Plf9XZqVQBXhtHBxcBNf3py/W6XRMDpuMlcaKwHqB0hwlslfcjBo1iilTprBt2zbs7OzSl7/22mscPHjQYOGEyI4PA0pTp6Q7X/wRTnxSqn7hyZVwfj10+BLyF1Ib0JglJ8CdE3n/Sk7IUsz4+HiGDh3K33//zY4dO7CysqJr165otVp69OjB77//jk7333nHVqxYQdGiRWnUqBEA/fv3JywsjN9//52TJ0/SrVs32rRpw6VL/30gPSEhgRkzZvDdd99x5swZChcuzOPHj+nVqxf79+/n4MGDlC9fnnbt2vH4sX6U7LS0NLp06YKTkxOHDh1iyZIljB07NkP2lJQUWrdujbOzM/v27SM0NJT8+fPTpk0bkpOTs/T/wSLV6wsl6kPI5/qpU4D1V9ez8+ZOxtUbR0FHmQJIgEb3vz8BMil//vycOnWK0qVL4+zsTHh4OGXKlOH69etUqlSJxMTE3MhqEHFxcbi6uhIbG4uLi4vqOCKX3HgQT5t5+3i9ZjGCmxeEb+pB+dbwxlLV0YxGSkoK9+7do1ChQtja/v/or3dOwJImeR/m0z1QtHq2N79//z6FChXi1KlTeHp6UrRoUXbu3JlezDRo0IDGjRszffp0IiIi0kdZL1r0v92EW7RoQd26dZk6dSrLly/nww8/5MSJE+nTyzyPVqulQIEC/Prrr3To0IHNmzfTsWNHbt68iZeXF6CfXLhly5asXr2aLl268PPPPzNlyhTOnTuXfochOTmZAgUKEBISQqtWrZ45znM/K0v28CosCgC/t4lsNpLX17xOY+/GTG/06t5UwjJk64HiAgUKcPfuXUqXLp1h+fHjxylWrJhBggmREyUL5mNM+8qMCznFsOgxuNs4QruZqmMZP48K+kJDxXGz4NKlSwQFBXHo0CHu37+f/jxMREQE1apVo1WrVvzyyy80atSIa9euERYWxrfffgvAqVOnSEtLo0KFjMdMSkrKMPGvnZ0dvr6+GdaJiooiMDCQ3bt3Ex0dTVpaGgkJCURERABw4cIFvL290wsb4Jn59sLDw7l8+TLOzs4ZlicmJqY3rYlXcC8DrSaj2zCMCWm3cLBxYHTd0apTCSOSreLm7bffZuTIkaxatQqNRoNWqyU0NJThw4fTs2dPQ2cUIlve8y9B0qEfcL+7l/g3fyOf40u6hws9O6cc3UHJKx07dqRkyZIsXbqUokWLotVqqVatWnqzTo8ePRg4cCBff/01v/76Kz4+Pvj4+ADw5MkTrK2tOXr0KNbWGXvU5c+fP/3Pjo6Ozzy70atXLx48eMBXX31FyZIlsbe3p379+llqTnry5Am1atXil19+eea9QoWkyTTTavfmz7O/EBpznoWNZuJq76o6kTAi2Spupk6dSr9+/fD29iYtLY0qVaqQlpbGu+++S2BgoKEzCpEtmpgIPnqyhD91r3HgbDHmVFOdSBjCgwcPuHDhAkuXLk1vdtq/f3+GdTp37synn37K5s2b+fXXXzN86apRowZpaWlER0enb59ZoaGhfPPNN7Rrp++Nc/PmTe7fv5/+fsWKFbl58yZRUVF4enoCcOTIkQz7qFmzJitWrKBw4cLSNJ4Dt+PvMMs6ntfjkmgcvhbKtFUdSRiRbD1QbGdnx9KlS7ly5Qrr16/n559/5vz58/znP/955puQEEpotbCmH1ZO7mjaTOXPY7fYdjZKdSphAG5ubhQsWJAlS5Zw+fJldu7cydChQzOsky9fPrp06cK4ceM4d+4c77zzTvp7FSpUoEePHvTs2ZO//vqLa9eucfjwYaZNm8aGDRteeuzy5cvzn//8h3PnznHo0CF69OiBo6Nj+vstW7akbNmy9OrVi5MnTxIaGpr+he+fu0A9evTAw8ODzp07s2/fPq5du8bu3bsZOHAgt27dMtT/JrOm1WkZFzoOV4cCfFF3JIT/Cuc3qo4ljEiOZhMrUaIEbdu2pVu3bpQvX95QmYTIuSNL4fo+6LyQrvUq0bxSYUb/dYpH8dIbxdRZWVnx+++/c/ToUapVq8aQIUOYNWvWM+v16NGD8PBwGjVqRIkSGecP++GHH+jZsyfDhg2jYsWKdOnShSNHjjyz3r99//33PHr0iJo1a/L+++8zcOBAChf+72Bx1tbWhISE8OTJE+rUqcPHH3+c3lvKwcEBACcnJ/bu3UuJEiV4/fXXqVy5Mr179yYxMVHu5GTSb+d/40jkESYHTCZ/rY+gQhtYN0g/tYoQZLO3FOgv8i+//DK962T58uUZPHgwH3/8sUEDGpr0lrIAD67oe1LUfB/a6X/pRccl0vLLvTQq78GCd2sqDmgcpAdO3ggNDaVhw4ZcvnyZsmXLZmsf8ln91/XY63Rb142u5bsyxn+MfuHjSFjoD2Vfg24/qA0ojEK2nrkJCgpi7ty5DBgwgPr16wMQFhbGkCFDiIiIYNKkSQYNKUSmadP0swe7FIEWE9IXF3ZxYHKXagz87Thtqt2hg6/MFCxyx+rVq8mfPz/ly5fn8uXLDBo0iICAgGwXNuK/0rRpBIYGUtipMINrDv7vG85e0H4O/NlbPwJ5tdeVZRTGIVvFzaJFi1i6dGmGduxOnTrh6+vLgAEDpLgR6oQtgFtH4KPNYJcvw1sdfYuw+fRdxoWcxr90QQo52ysKKczZ48ePGTlyJBEREXh4eNCiRQvmzJmjOpZZ+PHsj5y8d5If2/6Ik+2/5paq9gacWwsbhkGphpBf5payZNl65iYlJYXatWs/s7xWrVqkpqbmOJQQ2RJ9DnZOgQb9oUS9Z97WaDRM7lwNaysNo/86RTZbZIV4qZ49e3Lx4kUSExO5desWy5cvzzB+jsieS48useD4AnpV7UWNwjWeXUGjgfZzwcpa//yNXN8WLVvFzfvvv8+iRYueWb5kyRJ69OiR41BCZFlair45yq00NHvxcAQF89sT3NWH7eei+OvY7TwMKITIrhRtCmP3j8Xb2Zv+Nfq/eMV8HtBhnn728PDf8yyfMD6Zbpb6366WGo2G7777jq1bt1Kvnv4b8qFDh4iIiJBB/IQa++ZC5Cn4eBvYOrx01dZVvXi9RjEmrDtDg3IFKeLq+NL1hRBqfXfyOy4+usgv7X7B3voVzcmVO4Dv27BpJJRuDK4yar4lynRxc/z48Qx/r1WrFkD6cOEeHh54eHhw5swZA8YTIhPuhsPemdBoKBSrlalNxnesSuiV+4z44yQ/fVRXZhEWwkidfXCWJSeX0NunN1U9qmZuo7bT4doeWNsf3vtL32QlLEq2u4KbKukKbmZSk2BJU9BYwyc7wcbulZv8Y/eFaD744QhTu/rwrv/LxzcxR9K92HRY6meVnJbMW+vfwlpjzW/tf8PWOgvnfmk7/PKGvpmq9oe5llEYpxwN4ieEcrunw/1L0HVxlgobgKYVC/NOXW+mbDjLzYcJuRRQCJFd35z4hutx1wluGJy1wgagfAuo2Qu2jIVH13MlnzBe2eoKnpiYyNdff82uXbuIjo5On5H3H8eOHTNIOCFe6uYRCJ0HzcaCV/Ymjhrbvgr7Lt1n+KpwfvukHlZWcvtaCGMQfi+cH878QP/q/anoXjF7O2kdDFd3QUg/6LUOrOT7vKXI1ifdu3dvZs6cScmSJenQoQOdO3fO8BIi1yUnQEgfKFoDAgZnezf57W2Y+aYvh649ZPmB6waLJ3JP06ZNGTx48Avf12g0hISEZHp/u3fvRqPREBMTk+NswjCepj4lcH8gVQtW5cNqOWhSsneGzgvhxn44/K3hAgqjl607N+vXr2fjxo0EBAQYOo8QmbNzMsTegrd/A+ts/TNO16CsBx80KMWMzedpUrEQZQvlN1BIocLdu3dxc3NTHUPkwPxj87kbf5evXvsKG6ucXd+Ubgz+fWD7BCjXAjxkHkRLkK07N8WKFcPZ2dnQWYTInOv74eAieG0cFKpgkF2ObFOJogUcGb4qnDStRT1jb3a8vLywt5fRp03Vkcgj/HzuZwbUGEAZ1zKG2Wnz8eBSDEL66qdoEWYvW8XNnDlzGDlyJDdu3DB0HiFeLukJhHwOJepDvb4G262jnTWzu/kSfjOGJXuvGmy/IndotVpGjBiBu7s7Xl5eTJgwIf29fzdLHThwgOrVq+Pg4EDt2rUJCQlBo9Fw4sSJDPs8evQotWvXxsnJiQYNGnDhwoW8ORmRLj4lnnGh46hZuCbvVX7PcDu2c4Iui+D2UTgw33D7FUYrW/f7ateuTWJiImXKlMHJyemZrokPH8q08yKXbBsH8fegZ4h+mHUDqlXSnU8al+HLbRd5rVJhKnpZ3t3Jp6lPuRZ7Lc+PW9q1NI42mR9M8ccff2To0KEcOnSIsLAwPvjgAwICAmjZsmWG9eLi4ujYsSPt2rXj119/5caNGy98Xmfs2LHMmTOHQoUK0adPHz766CNCQ0Nzcloii+b8PYeHiQ9Z2nIp1ga+vinhDw0GwK6pUL41eFYx7P6FUclWcfPOO+9w+/Ztpk6diqenpwyAJvLG5R3w9zL97L/uBrpd/S9DWlRg1/lohq48QUi/AGytLat3xbXYa7y1/q08P+6KDiuoUjDzv2x8fX0ZP348AOXLl2fBggXs2LHjmeLm119/RaPRsHTpUhwcHKhSpQq3b9/mk08+eWafwcHBNGnSBIBRo0bRvn17EhMTcXB4+YjXwjBCb4ey6uIqAv0D8Xbxzp2DNB0DF7fC6s/042JltXu5MBnZKm4OHDhAWFgYfn5+hs4jxPM9jYG1A6BMU6jdO9cO42BrzZxu1enyTSgLdl5mSEvDPNNjKkq7lmZFhxVKjpsVvr6+Gf5epEgRoqOjn1nvwoUL+Pr6ZihQ6tat+8p9FilSBIDo6GhKlLC8AR7zWlxyHEEHgqhXpB7dK3bPvQPZOkDXRbC0OeydDc1G596xhFLZKm4qVarE06dPDZ1FiBfbPBqSHkOnBbk+lLpPcVf6NyvHwl2XaVHZE5/irrl6PGPiaOOYpTsoqvy7KVyj0Twz3lZO9vnP3eic7lNkzozDM0hISWBSg0m53xJQtAY0/gL2zYaKbfR/F2YnW/fcp0+fzrBhw9i9ezcPHjwgLi4uw0sIgzq/EcJ/hTbToEAu3a7+l/6vlaOilzPDVp0gKVV6V5iqihUrcurUKZKSktKXHTlyRGEi8W+7Inax9spaRtQZQZH8RfLmoI2HQ+EqsLqvfgoXYXayVdy0adOGsLAwmjdvTuHChXFzc8PNzY0CBQrI+BLCsBIewrpBUKENVO+RZ4e1tbZiTnc/rt9P4Mttl/LsuMKw3n33XbRaLZ9++innzp1jy5YtzJ49G0CeFTQCjxIfMTFsIk2KN6FLuS55d2BrW/2ULQ+v6B8wFmYnW81Su3btMnQOIZ5vwzBIS4aOX+X5zL6VvFwY3LI8s7dcoGUVT2qVlMLd1Li4uLBu3Tr69u1L9erV8fHxISgoiHfffVceFDYCwYeCSdGmML7++LwvNj2rQtPR+gFBK7UH7+c/iyVMk8wKLozX6b/gjw/hje/B500lEVLTtHT7NoyYhBQ2DmyEo52Bu6cqZKkzTf/yyy98+OGHxMbG4uiY+e7nKpnjZ7X52ma+2PsFMxvPpG3ptmpCpKXCD230d4j77NePhyPMQrb7ue7bt4/33nuPBg0acPv2bQD+85//sH//foOFExbscZT+rk2VzlDtDWUxbKytmN3NjzsxT5mx+byyHCL7fvrpJ/bv38+1a9cICQlh5MiRdO/e3WQKG3N0/+l9phyaQsuSLWlTqo26INY2+sH94m7DjonqcgiDy1Zx8+eff9K6dWscHR05duxY+sN6sbGxTJ0q7Zcih3Q6WD9YP0hf+7l53hz1b2UL5Wdkm0osP3CdA1fuK80isi4yMpL33nuPypUrM2TIELp168aSJUtUx7JYOp2OiWETsdZYE1gvUP2zTx7l9dMzHFoM1/aqzSIMJlvFzZQpU1i8eDFLly7NcIs0ICCAY8eOGSycsFDhv8OFjdBhHuTzUJ0GgA8alMK/tDsj/jjJk6RU1XFEFowYMYLr16+TmJjItWvX+PLLL3FykuYHVdZeWcvum7sJqh+Eu4O76jh6/n2gZENY008/5IQwedkqbi5cuEDjxo2fWe7q6kpMTExOMwlLFnsbNo0E37ehcgfVadJZWWmY3c2Ph/HJBG84pzqOECYpMj6SGYdn0LFMR5qXaK46zn9ZWUHnBRD/ALYGqk4jDCBbxY2XlxeXL19+Zvn+/fspUyZ3hsUXFkCng7X99Q/1tZ2uOs0zvN2dGNu+Mr8djmD3hWdHwzVVFtanwCSZw2ek0+kYf2A8jjaOjKw7UnWcZ7mXhtZT4OhyuLRddRqRQ9nqCv7JJ58waNAgli1bhkaj4c6dO4SFhTF8+HDGjRtn6IzCUhz9Aa7shB5/gqNxdrt+t24JNp+OZNSfp9gyuDGuTqbbc8Xa2hqNRsPjx49xdnZW/+yDeIZOpyMtLY24uDg0Gg02Ntn6kW0UVl1cxYE7B1jUYhGu9kY66netD+HcOv1UL58fMNqfQ+LVstUVXKfTMXXqVKZNm0ZCQgIA9vb2DB8+nMmTJxs8pCFJV3Aj9fAaLArQd/nuNF91mpe6G/uUVl/upWVlT+a+VV11nBxJSkri4cOHZnFnwJzZ2dlRoEABky1ubj6+yRtr36Bd6XZMaDBBdZyXi70F3zSAim3h9W9VpxHZlKNxbpKTk7l8+TJPnjyhSpUq5M+f35DZcoUUN0ZIq4UfO0JsBPQ9APbOqhO90p9HbzFsVTjfvl+L1lW9VMfJEa1WS1qaTDFhrKysrLCysjLZO2tanZaPtnxEZHwkf3b6k3y2+VRHerUTv0JIX3jrF6N69k9kXpa+Bnz00UeZWm/ZsmVZCrFw4UJmzZpFZGQkfn5+fP311y+cufd//f7777zzzjt07tyZkJCQLB1TGJHD38KN/dBrnUkUNgCv1yzGptORjF19ijql3HHPZ6c6Urb988tTiNzwy7lfOBp1lO9bfW8ahQ2A3zv65qn1g6FEfchXUHUikUVZ+om2fPlydu3aRUxMDI8ePXrhKytWrFjB0KFDGT9+PMeOHcPPz4/WrVsTHf3yBzavX7/O8OHDadSoUZaOJ4zM/UuwfYK+K2bpZ3vgGSuNRsPU16uRptURGHJKmnWEeI5rsdf46thX9Kjcg7pFTGh6A41GPxSFNhU2DNF3dhAmJUvNUv369eO3336jZMmSfPjhh7z33nu4u+dsnAJ/f3/q1KnDggULAP0tcm9vbwYMGMCoUaOeu01aWhqNGzfmo48+Yt++fcTExLzwzk1SUlKGGYHj4uLw9vaWZiljYAZDn68/eYf+vx5n/js16ORXVHUcIYxGqjaVXpt6EZscy6qOq3C0McERoY1gChiRPVm6c7Nw4ULu3r3LiBEjWLduHd7e3nTv3p0tW7Zk65trcnIyR48epUWLFv8NZGVFixYtCAsLe+F2kyZNonDhwvTu3fuVx5g2bRqurq7pL29v7yznFLnkwHy4fVQ//LkJFjYAHXyL0sG3CEFrThMdl6g6jhBGY/mZ5Zx+cJopAVNMs7ABqPY6VO0KG4fD40jVaUQWZLmh3d7ennfeeYdt27Zx9uxZqlatyueff06pUqV48uRJlvZ1//590tLS8PT0zLDc09OTyMjn/0Pav38/33//PUuXLs3UMUaPHk1sbGz66+bNm1nKKHJJ1BnYPQ0aDIAS/qrT5MjkztWwsbJi9F/SPCUEwMVHF1l4YiG9qvaieuHqquPkTLs5YGUL6wZJ85QJydFThP88wf/PWAy57fHjx7z//vssXboUD4/MDctvb2+Pi4tLhpdQLC0FVvcB97LQdIzqNDnmls+Oaa/7sON8NH8cvaU6jhBKpaSlELg/kFIupehXvZ/qODmXryB0/Aoubtb3ohImIcvFTVJSEr/99hstW7akQoUKnDp1igULFhAREZHlruAeHh5YW1sTFRWVYXlUVBReXs92r71y5QrXr1+nY8eO2NjYYGNjw08//cTatWuxsbHhypUrWT0docLe2fo7N10Xga2D6jQG0bKKJ2/ULM6kdWe5E/NUdRwhlFlyagkXH11kSsMp2Fvbq45jGJXagd+7sHmUfhwcYfSyVNx8/vnnFClShOnTp9OhQwdu3rzJqlWraNeuXba6ktrZ2VGrVi127NiRvkyr1bJjxw7q16//zPqVKlXi1KlTnDhxIv3VqVMnmjVrxokTJ+R5GlNw5zjsnQWNv4CiNVSnMaigjlXIZ2/DiD9OSvOUsEhnHpxh6cmlfOr7KVULVlUdx7DaTAO7/PrJNeX6NnpZ6i1lZWVFiRIlqFGjxksHlPrrr78yHWDFihX06tWLb7/9lrp16zJv3jxWrlzJ+fPn8fT0pGfPnhQrVoxp06Y9d/sPPvjgpb2l/k0G8VMoJRGWNAVrW/hkp/6/ZmbvxXv0XHaYyV2q8X69kqrjCJFnktKSeGvdW9hZ2/FL+1+wtTK/65vLO+Dn16H9HKjzseo04iWyNIhfz549DT5K5ltvvcW9e/cICgoiMjKS6tWrs3nz5vSHjCMiImSAMXOxeyo8vAKf7jbLwgagcYVCvOtfgmkbz9G4vAclC5rIoGVC5NDCEwuJeBzB7x1+N8/CBqBcc/38U1uDoOxr4C4TRRurHE2/YIrkzo0iEYf0Y9q8Ng4aDVWdJlc9SUql7Vd7KeLiyO+f1sPKyjSHzRcis05En6Dnpp4MrDmQj33M/I5G0mP9PHguxeCDDSBfvo2SfCoi9yUn6OdpKVYLGgxUnSbX5be3Ydabfhy+/pBloddUxxEiVyWkJDB2/1h8CvnwQdUPVMfJffbO0OUbiDgAhxapTiNeQIobkft2TIS42/rB+qxNc1bjrKpXpiAfBZRm5pYLXI7O2vhPQpiSr459RVRCFFMCpmBjZRnXN6UaQr3PYftEuHdRdRrxHFLciNx1bS8cWgwtJoBHedVp8tSINhUpXsCRYavCSU3Tqo4jhMEdvnuYX8//yuCagyntWlp1nLzVPAgKeENIH/1UMsKoSHEjck/SYwjpByUbQt3PVKfJcw621szu7sepWzF8u/eq6jhCGNST5CeMCx1Hbc/avFv5XdVx8p6tI3RZrB/eInSe6jTiX6S4Eblny1hIeABdFlrsQ3c1S7jxWZOyzNt+kXN341THEcJgZv89m0dJj5gcMBkrjWVe33jXgYBBsHs6RJ5WnUb8Dwv9Fyly3aXtcOxHaD0F3EqpTqPU4BblKeORn6Erw0lOleYpYfr23drHn5f+ZHjt4RR3Lq46jlpNR+ub3Ff3gdRk1WnE/5PiRhje00ewtr9+HIhaH6pOo5y9jTVzuvtxKeoxC3ZeUh1HiByJTYplwoEJNCjagG4VuqmOo56NPXRdDPfO6UdfF0ZBihtheJtG6bt/d1oABh700VRVK+bKgNfKs3D3FcJvxqiOI0S2TT88naepT5nYYKLBB3U1WUX8oPEI2DcHbh9VnUYgxY0wtHPr4eTv0HYGuBZTncaofN6sLFWKuDBsVTiJKWmq4wiRZTtu7GD91fWM8h+FV75nJze2aI2GgpcPrO6rn2pGKCXFjTCc+PuwfjBUbAd+b6tOY3Rsra2Y092PiAcJzN0mY2MI0/Iw8SGTDk6iqXdTOpbpqDqO8bG21TdPPboGu6aoTmPxpLgRhqHTwYahoE2DDvOkOeoFKng6M7RVBZbuu8rf1x+qjiNEpuh0OqYcnIJWp2V8/fHSHPUihStDs7FwYAFEHFSdxqJJcSMM4/SfcHaNfrZcZ0/VaYzaJ43KUMO7AMNWhZOQLIN/CeO36domtt3Yxth6Y/Fw9FAdx7g1GADF6+h7TyXHq05jsaS4ETn3OBI2DIOqr0O111WnMXrWVhrmdK9OVFwiMzadVx1HiJe6l3CP4EPBtCnVhjal2qiOY/ysrPXNU48jYfsE1WkslhQ3Imd0Olg3CKzt9HdtRKaU9sjHqDaV+DHsBgcu31cdR4jn0ul0TAibgK2VLWP9x6qOYzoKloWWE+HwEri6W3UaiyTFjciZE7/Axc3Q8StwcledxqT0rF+K+mUK8sUfJ3mcmKI6jhDPCLkcwt5bexlffzwFHAqojmNa6nwCpRrBmv6QKKOT5zUpbkT2xdyEzaPB712o1E51GpNjZaVh5pu+xCQkE7zhnOo4QmRw98ldZhyZQaeynWhWopnqOKbHygo6L9QParpljOo0FkeKG5E9Op1+FGJ7Z2gzTXUak+Xt7kRghyr8fuQmu85Hq44jBABanZagA0Hkt83PyLojVccxXW4loXUwHP8PXNyqOo1FkeJGZM/f3+vbkjt9DY4FVKcxaW/X8aZJhUKM/PMkMQkyN41Qb+WFlRy8e5BJDSbhYueiOo5pq9kLyrWAtQMgQYZ/yCtS3Iise3gVtgZB7Y+gXHPVaUyeRqNhxhu+JKakMWHtGdVxhIW7GXeTuUfn0r1CdxoUa6A6junTaPRfAlOfwia5C5ZXpLgRWaPVQkg/yOcBLSerTmM2vFwdmNi5KiEn7rD59F3VcYSFStOmERgaiLuDO8NqD1Mdx3y4FIW2s+DUSji7VnUaiyDFjciaQ4sgIgy6fAP2+VWnMStdqhejVRVPxq4+zYMnSarjCAv087mfOR59nMkBk3GydVIdx7z4dodKHWD9EHhyT3UasyfFjci8exdh+0So1xdKNVSdxuxoNBqCu/qgA8auPo1Op1MdSViQqzFXmX9sPj0q96COVx3VccyPRgMdvgR0sGGIvlOGyDVS3IjMSUuFkD5QwBuaB6lOY7YKOdszpUs1Np+JZG34HdVxhIVI1aYydv9YiuYvyqCag1THMV/5C0P7uXBuHZz6Q3UasybFjcic0Hlw5zh0WQy2jqrTmLV2PkXo5FeUoDVniIpLVB1HWIBlp5dx9uFZghsG42DjoDqOeavaBaq9CRuHQ5w8X5dbpLgRrxZ5GnZPh4BB4C23q/PCpM5VsbOxYtSfJ6V5SuSqCw8vsCh8ER9V+wjfQr6q41iGdrPAxh7WDZTmqVwixY14udRk/ey2HuWh6WjVaSxGASc7pr/uw64L91j19y3VcYSZSklLYcz+MZR2LU1fv76q41gOJ3foOB8ubYXjP6tOY5akuBEvt3cW3Dunn+XWxl51GovSvLIn3WoVZ9L6s9x6lKA6jjBDi08u5mrMVYIDgrGztlMdx7JUbAPV39NPYRMToTqN2ZHiRrzY7aOwbw40HgFF/FSnsUjjOlbBxcGGEX+cRKuV29fCcE7fP833p77nU79PqVywsuo4lqnNVHBwhTX99GOICYOR4kY8X0oirO4LXj7QaKjqNBbLxcGWmW/6ceDKA34+dEN1HGEmElMTGbt/LBXdK/Kxz8eq41guB1fovACu7dVPaSMMRoob8Xy7psCja/rmKGtb1WksWsPyHrxfryTTNp7n+v141XGEGVhwfAE3H98kOCAYWyu5vpUq2wzqfAzbguDBFdVpzIYUN+JZEQfhwAJoNhYKy+1qYzCqbSUKOdszfFU4adI8JXLgWNQxfjr7E/1r9KecWznVcQRAi4n6MXBCPgdtmuo0ZkGKG5FRcry+d1TxOtBggOo04v/ls7dhdjc/jkY8Ytn+a6rjCBOVkJJAYGggvoV86VWll+o44h/2+aHLIrh5CA5+ozqNWZDiRmS0fQI8jtQ3R1lZq04j/kfd0u70DijNrK0XuBT1WHUcYYK+PPol9xLuEdwwGGu5vo1LyQZQvx/smAzR51WnMXlS3Ij/urobDi+BlhOhYFnVacRzDG9dEW83R4atCic1TXpXiMw7ePcgv1/4ncG1BlPSpaTqOOJ5XgsEt5L6qW7SUlWnMWlS3Ai9xDhY0x9KNYI6n6hOI17AwdaaOd2rc/p2LIt2y8OHInMeJz8mKDSIul51eafSO6rjiBexddRPcXM3HPZ/qTqNSZPiRuhtGQNPH0HnhWAl/yyMWXXvAnzetBzzd17izJ1Y1XGECZh1ZBaxSbFMCpiElUaub6NWvBY0HAp7ZsDdk6rTmCz5Vy7g4lY4/h9oHay/JSqM3sDm5SlbKD/DVoaTnCrNU+LF9t7ay+rLq/mizhcUy19MdRyRGU1GQqGKENJXPwWOyDIpbixdwkNYOwDKtYCa0nvCVNjZWDG3e3Wu3HvC/B2XVMcRRio2KZbxB8YTUCyAN8q/oTqOyCwbO32njnsX9HdwRJZJcWPpNo2E1KfQ6WvQaFSnEVlQpagLA18rzze7L3PiZozqOMIITT00laS0JCbWn4hGrm/T4uWjv4Ozfy7cOqo6jcmR4saSnV0Lp1ZC21ngUlR1GpENfZuWxaeYK8NWniAxRQb/Ev+17cY2Nl7byOi6o/HM56k6jsiOhkOgSHV976mUp6rTmBQpbizVk3uwfghU6gC+3VWnEdlkY23FnO5+3Hz0lNlbLqiOI4zEg6cPmBw2mde8X6NDmQ6q44jssrbRN089ugE7p6hOY1KkuLFEOh1sGALooMOX0hxl4soVduaLVhX5PvQah689VB1HKKbT6Zh8cDIA4+qPk+YoU1eoIjQfB2EL4cYB1WlMhhQ3lujUH3BuHbSfq5/PRJi8jxqWplYJN4avCic+SQb/smQbrm1gR8QOAusF4uHooTqOMIR6n4O3v773VNIT1WlMghQ3libuLmwcBtXehKpdVKcRBmJtpWF2Nz/uPU5i+iYZut1SRcVHMfXQVNqWbkurUq1UxxGGYmUNXb6BJ9GwfbzqNCZBihtLotPBuoFg4wDtZqlOIwyslEc+RrerxH8O3mD/pfuq44g8ptPpmBA2AXtre8b6j1UdRxhawbLQchIc+Q6u7FKdxuhJcWNJjv8HLm2FjvPByV11GpEL3vMvSUC5goz4I5y4xBTVcUQe+uvSX+y/vZ8J9Sfgau+qOo7IDbV7Q+km+qlyEmV08peR4sZSxETA5jFQ/T2o2EZ1GpFLrKw0zHzTj7jEVCavO6s6jsgjt5/cZuaRmXQp14Um3k1UxxG5xcpKP0VOYqz+57l4ISluLIFWC2v6gYMrtJmqOo3IZcUKOBLUoQqrjt5ix7ko1XFELtPqtASFBuFi78KIOiNUxxG5rYA3tJkGJ36GC5tVpzFaUtxYgr+/h2t7ofMCfYEjzF632sVpVrEQo/46xaN4mZvGnP1+/ncORx5mUoNJONs5q44j8kKN96B8K/0zlAky/MPzSHFj7h5cgW1BUOdjKNtMdRqRRzQaDdPf8CU5Vcv4tWdUxxG55EbcDb48+iVvVXyL+kXrq44j8opGo392MjUJNn6hOo1RkuLGnGnTIORz/Vg2LSaqTiPymKeLA5M6V2Vt+B02nrqrOo4wsDRtGoH79WPZDK01VHUckddcikC72XD6DzgTojqN0ZHixpyFLYSbh6DLIrDPrzqNUKCTX1HaVvMiMOQ09x4nqY4jDOinsz8Rfi+cKQ2n4GTrpDqOUMHnTajcCTYM1Y+BI9JJcWOuos/r5yKp3w9KNlCdRiii0WiY0qUaGmDs6lPodDrVkYQBXH50ma+Pf837Vd6nlmct1XGEKhqNfgodNPq5AuX6TifFjTlKS9XPIutWEl4LVJ1GKFYwvz3BXaux9WwUISduq44jcihFm8LY0LEUdy7OgBoDVMcRquXz0Bc459fDyZWq0xgNKW7M0f4v4W44dFkMto6q0wgj0KZaEbpUL0rQmjNExiaqjiNy4PtT33P+4XmCA4JxsHFQHUcYgyqdwKe7/uHiuDuq0xgFKW7Mzd2TsGc6NBwKxeV2tfiviZ2q4WRnzcg/T0rzlIk69+Ac34Z/S+9qvfEp5KM6jjAm7WaCnROsHSDNU0hxY15Sk/SzxhaqBE1Gqk4jjIyrky3T3/Blz8V7/H7kpuo4IouS05IZGzqWMgXK0Nevr+o4wtg4ukGnr+Hydjj2o+o0yklxY072zIB7F6DrYrCxU51GGKFmFQvzdh1vpqw/y82HCarjiCxYFL6Ia7HXmNpwKrbWtqrjCGNUviXU7AlbxsKjG6rTKCXFjbm49bf+WZsmI8FLbleLFxvbvjIFnOz44o9wtFq5fW0KTt47ybLTy+jj24eK7hVVxxHGrFWw/i7Omn76qXcslBQ35iDlKazuA0WqQ8MhqtMII+fsYMusN305ePUhP4VdVx1HvEJiaiJj94+linsVevv0Vh1HGDsHF/3kmtf3wZGlqtMoI8WNOdg5RT/rd9fFYG2jOo0wAQ3KedCrfkmmbz7P1XtPVMcRLzH/+HzuPLlDcMNgbKzk+haZUKYJ1P0Uto2H+5dVp1FCihtTd+OAfiTi5uOgkNyuFpk3sm0lvFwcGL4qnDRpnjJKf0f+zc9nf2ZgzYGUKVBGdRxhSlpM0E/RENJXPxWPhTGK4mbhwoWUKlUKBwcH/P39OXz48AvXXbp0KY0aNcLNzQ03NzdatGjx0vXNWtIT/T9cb3+o97nqNMLEONnZMLubH8dvxrB031XVccS/JKQkEBgaSPXC1Xmv8nuq4whTY5dPP/XOrSNw4GvVafKc8uJmxYoVDB06lPHjx3Ps2DH8/Pxo3bo10dHPnydj9+7dvPPOO+zatYuwsDC8vb1p1aoVt29b4Mir24L084l0+QasrFWnESaodil3Pm1UhrlbL3Ix6rHqOOJ/zPl7Dg8THzIlYArWcn2L7ChRDxr0h13BEH1OdZo8pdEpHs3L39+fOnXqsGDBAgC0Wi3e3t4MGDCAUaNGvXL7tLQ03NzcWLBgAT179nzl+nFxcbi6uhIbG4uLi0uO8ytzZSf8p6t+Vti6n6hOI0xYYkoaHb/ej4OtNX993gBba+XfeSzegTsH+GzbZ4zxH8M7ld5RHUeYspRE+LYx2DrAxzvAQoYRUPpTLDk5maNHj9KiRYv0ZVZWVrRo0YKwsLBM7SMhIYGUlBTc3d2f+35SUhJxcXEZXiYvMRbW9IfSTaC29J4QOeNga82c7n6cvRvHN7uuqI5j8R4nPyYoNAj/Iv68VfEt1XGEqbN10Hc2iTwN++aqTpNnlBY39+/fJy0tDU9PzwzLPT09iYyMzNQ+Ro4cSdGiRTMUSP9r2rRpuLq6pr+8vb1znFu5zWMgMU7f3c9KvmWLnPMtXoB+Tcvy9c5LnL4dqzqORZtxeAZPUp4wucFkrDRyfQsDKFYTGg2DvTPhzgnVafKESV8506dP5/fff2f16tU4ODx/ArnRo0cTGxub/rp508SHnb+wGU78DG2mQQEzKNSE0ej/WnkqeDozbGU4SamW17vCGOy+uZs1V9Ywss5IiuQvojqOMCeNv4DClfWdUFKTVKfJdUqLGw8PD6ytrYmKisqwPCoqCi8vr5duO3v2bKZPn87WrVvx9fV94Xr29va4uLhkeJmshIewbiCUbwU1pPeEMCw7GyvmvuXH1ftP+Gr7JdVxLE5MYgwTDkygUbFGdCnXRXUcYW5s7KDLYrh/CXZPU50m1yktbuzs7KhVqxY7duxIX6bVatmxYwf169d/4XYzZ85k8uTJbN68mdq1a+dFVOOwcbi+4u44HzQa1WmEGark5cLgFhVYvOcKxyIeqY5jUaYemkqKNoUJDSagketb5AavatB0FIR+BTePqE6Tq5Q3Sw0dOpSlS5fy448/cu7cOfr27Ut8fDwffvghAD179mT06NHp68+YMYNx48axbNkySpUqRWRkJJGRkTx5YuajrJ5ZDaf/1PeOcpHb1SL3fNa4DD7FCzB8ZThPk6V5Ki9sub6FTdc3McZ/DIWdCquOI8xZwGAoWgNC+kCy+U6eq7y4eeutt5g9ezZBQUFUr16dEydOsHnz5vSHjCMiIrh79276+osWLSI5OZk333yTIkWKpL9mz56t6hRy35NoWD8UKncCnzdVpxFmzsbaijnd/Lgd85RZWy6ojmP27j+9z5SDU2hZsiXtSrdTHUeYO2sbffNU7C3YOVl1mlyjfJybvGZy49zodLDiPYg4CP0OQT4P1YmEhfhu31WCN57jt0/qUa9MQdVxzJJOp2PQrkGE3wtndefVuDs8f0gLIQwubCFsGQMfbIBSDVWnMTjld27EK5xcAefXQ4cvpbAReeqjgNLUKeXOF3+EE5+UqjqOWVp/dT27bu5iXL1xUtiIvOXfF0o0gJDPIcn8RieX4saYxd6GjSPApztU6aQ6jbAwVlYaZr/px4MnyUzdaFlDt+eFyPhIph2aRvsy7WlR8vnjdAmRa6ysoMtCiL8PW8epTmNwUtwYK50O1g4AOydoN1N1GmGhShR0Yky7yvxyKIK9F++pjmM2dDodEw5MwNHGkdF1R796AyFyg3sZaDUJjv4Al7erTmNQUtwYq2M/wpUd0OlrcHRTnUZYsB7+JWhU3oORf54k9mmK6jhm4Y9LfxB6J5QJDSbgau+qOo6wZLV7Q5lmsGYAPI1RncZgpLgxRo9uwJaxULMnlG+pOo2wcBqNhhlv+PIkMZVJ686qjmPybj2+xewjs3mj/Bs0Kt5IdRxh6TQa6LwAkp/AZvO5iyjFjbHRamFNP/3dmlbBqtMIAUDRAo4EdazCn8duse1s1Ks3EM+l1WkZFzoOV3tXhtcerjqOEHquxaHNdAj/Fc5vVJ3GIKS4MTaHl8D1ffpJMR1MoKu6sBhv1ipOi8qFGf3XKR7FJ6uOY5J+O/8bf0f9zeSAyeS3y686jhD/Vf1dqNAG1g2C+Aeq0+SYFDfG5P5l2D4B6n4KZZqoTiNEBhqNhqmv+5Cq1TJuzWnVcUzO9djrzDs6j3cqvYN/EX/VcYTISKOBjl+BNgU2DlOdJsekuDEW2jT9bK0uRaDFBNVphHiuws4OTOpcjfUn77L+5B3VcUxGmjaNsaFjKexUmME1B6uOI8TzOXvpp/j5Z7ofEybFjbE48DXcOgJdFoFdPtVphHihjr5FaO9ThHEhp4l+nKg6jklYfmY5p+6dYkrDKTjZOqmOI8SLVXsDqnSBDcPgsek+XyfFjTGIOgu7gqFBfyhRT3UaIV5Ko9EwuUs1rK00jPnrNBY2g0uWXXp0iYUnFvJB1Q+oUbiG6jhCvJxGA+3ngpUNrB+sH3PNBElxo1pain52VrfS0CxQdRohMsU9nx3BXX3Yfi6Kv47dVh3HaKVoUxi7fywlnEvQr0Y/1XGEyJx8BaHDPLiwEcJ/U50mW6S4UW3fHIg8DV0Xg62D6jRCZFrrql68XqMYE9ad4W7sU9VxjNJ3J7/j4qOLBDcMxt7aXnUcITKvcgfwfRs2jdLPIG5ipLhR6c4J2DsLGg2DYjVVpxEiy8Z3rEo+OxtG/HFSmqf+5eyDsyw5uYSPfT6mqkdV1XGEyLq20/XPgK4dYHLNU1LcqJKaBKv7QOHK0PgL1WmEyBZXJ1umv+HDvkv3+fVwhOo4RiM5LZmx+8dSzq0cn/l+pjqOENnj6KafAujKTv38UyZEihtVdk+DB5ehy2KwsVOdRohsa1qxMO/ULUHwhnNEPEhQHccoLDyxkOtx1wluGIytta3qOEJkX/kWUOsD2BIID6+pTpNpUtyocPMIhH4FTUeBVzXVaYTIsbHtK+Oez44v/ghHqzWt29eGdiL6BMvPLKdf9X5UcKugOo4QOddqiv4h4zX99VMEmQApbvJacoK+d1TRGhAwWHUaIQwiv70Ns97049C1hyw/cF11HGWepj4lMDSQqgWr8kHVD1THEcIw7J2h8zdwYz8c/lZ1mkyR4iav7Zikf/K8y2KwtlGdRgiDqV+2IB80KMWMzee5cu+J6jhKzD82n8j4SKY0nIKNlVzfwoyUbgT+ffRTBN2/pDrNK0lxk5eu7YNDi6B5EBSS29XC/IxsU4miBRwZviqc1DTTuH1tKEcij/DzuZ8ZWGMgZVzLqI4jhOE1Hw8uxfRTBaWlqk7zUlLc5JWkx7DmcyjRAPz7qk4jRK5wtLNmdjc/wm/GsGTfVdVx8kx8SjzjQsdRy7MW71V5T3UcIXKHnZN+TLbbR+HAfNVpXkqKm7yydZx+GvkuC8FK/rcL81WrpBufNi7LvG2XOB8ZpzpOnpj992weJj5kcsBkrDRyfQsz5l0XGgzU9/iNOqM6zQvJVZgXLm/XjxHQahK4y+1qYf6GtCxPKQ8nhq0MJ8XMm6dCb4fyx8U/GF57ON7O3qrjCJH7mo0B97L6sdrSUlSneS4pbnLb0xhYMwDKNIPavVWnESJP2NtYM6dbdS5EPmbBzsuq4+SauOQ4gg4EUb9IfbpV6KY6jhB5w8Yeui6C6LOwd7bqNM8lxU1u2zwKkp9A5wX62VaFsBA+xV3p16wcC3Zd5tStWNVxcsWMwzNISElgUsAkNHJ9C0tStAY0Gq6fQujOcdVpniHFTW46v0E/o2qb6eBaXHUaIfJc/9fKUcnLmWGrTpCYkqY6jkHtjNjJ2itrGVl3JF75vFTHESLvNR4OnlVhdV9ISVSdJgMpbnJL/ANYNwgqtIHq76pOI4QSttZWzO1enev3E/hy+0XVcQzmUeIjJoZNpEnxJnQu21l1HCHUsLaFrt/Cwyuwe6rqNBlIcZNbNg4DbSp0/Eqao4RFq+jlzJCWFVi69ypHbzxUHccgphycQpoujfH1x0tzlLBsnlX0Dxgf+BoiDqlOk06Km9xw+k84sxrazQZnuV0txKeNy+DnXYDhq07yNNm0m6c2X9vM1htbGes/lkJOhVTHEUK9BgOhWC394H7JxjF5rhQ3hvY4CjYMgypdoNobqtMIYRSsrTTM6ebH3dinzNh8XnWcbLv/9D5TDk2hVclWtCnVRnUcIYyDlbV+SqG4O7Bjouo0gBQ3hqXT6Z+zsbKB9nOlOUqI/1GmUH5GtK7E8gPXOXDlvuo4WabT6ZhwYALWGmsC6wVKc5QQ/8ujHLQYD4cWw7W9qtNIcWNQ4b/BxU3QYZ5+enghRAYfNCiFf2l3vlh1kidJxj03zb+tubKGPbf2EFQ/CDcHN9VxhDA+dT+Dkg0hpJ9+yiGFpLgxlNhbsGkU+L4NlTuoTiOEUbKy0jC7mx8xCckEbzirOk6mRcZHMuPwDDqW6UjzEs1VxxHCOFlZ6acYevoQtoxVG0Xp0c2FTgdrB4BdPmg7XXUaIYyat7sTY9tX4bfDN9l9IVp1nFfS6XQEhQbhZOvEyLojVccRwri5lYJWU+DYj3Bpu7IYUtwYwtEf4MpO6PQ1OMrtaiFe5Z263jSuUIiRf54kNsE456b5x6qLqwi7G8bEBhNxtXdVHUcI41frAyjbHNb2h6ePlESQ4ianHl6DLYH6D7N8C9VphDAJGo2GGW/4kJCcxsR1xjuz8M3HN5n992zerPAmDYs1VB1HCNOg0ei/7Ccn6B/XUECKm5zQamFNP/3Dw62mqE4jhEkp4urIhI5V+ev4bbaciVQd5xlanZbA/YG4O7gzvPZw1XGEMC2uxaDtDDj5O5xbn+eHl+ImJw4thhuh0PkbsHdWnUYIk/N6zWK0rOLJ2NWnePAkSXWcDH4++zPHoo8xOWAy+WzzqY4jhOnxexsqtof1gyE+b4d/kOImu+5f0g9W5N8HSjdSnUYIk6TRaJja1Yc0rY5xa06j0+lURwLgauxV5h+fT4/KPajjVUd1HCFMk0YDHeeBNg02DNV3vskjUtxkR1oqrO4DLsWg+XjVaYQwaYWc7ZnSxYeNpyJZd/Ku6jikalMJ3B+IVz4vBtUcpDqOEKYtf2HoMBfOrtFPTZRHpLjJjgPz4c4x6LoY7JxUpxHC5LX3LUIH3yKMCzlNdFyi0izLzyznzIMzTAmYgqONo9IsQpiFql2h6uv6qYke583zdVLcZFXUGdg1VT9RmHdd1WmEMBuTO1fD1tqK0X+dUtY8deHhBRaeWMgHVT+geuHqSjIIYZbazwFrO/0URXlwfUtxkxWpyfrmqILl9FO8CyEMxi2fHdNf92HH+Wj+OHorz4+fkpZCYGggpVxK0a96vzw/vhBmzckdOs2Hi5vhxC+5fjgpbrJi32yIPgtdF4GNveo0QpidFlU8ebNWcSatO8udmKd5euxvT37L5UeXmdJwCnbWdnl6bCEsQsW2UL0HbB4NMTdz9VBS3GTWneOwdzY0Gg5Fa6hOI4TZCupYhfwONoz442SeNU+duX+G7059xye+n1C1YNU8OaYQFqnNNP3QKWv752rzlBQ3mZGSqG+O8qwKjWUwLyFyk4uDLTPe8GX/5fv8fCgi14+XlJbEmP1jqOBWgU98P8n14wlh0Rxc9aMXX90Nf3+fa4eR4iYzdk+Fh1eh67dgbas6jRBmr3GFQvTwL8G0jee48SA+V4+18PhCbj6+SXDDYGyt5PoWIteVaw61P4Kt4/S/W3OBFDevEnEIQufrHyD2rKI6jRAWY0y7yhTMb8cXq06i1ebO7evj0cdZfmY5/ar3o7xb+Vw5hhDiOVpOhnyFIKSffpA/A5Pi5mWS4yGkDxSvre/6LYTIM/nsbZj9ph9HbjxkWeg1g+8/ISWBwP2B+BTy4YOqHxh8/0KIl7DPD10WQUQYHFxk8N1LcfMy2ydC3F3oshisrFWnEcLi+JcpyEcBpZm55QKXo58YdN/zjs0jOiGa4IBgrOX6FiLvlQqAep/Djklw74JBdy3FzYtc2wuHv4UW48GjnOo0QlisL1pXpLibI8NWhZOapjXIPg/dPcRv539jUM1BlHItZZB9CiGyofk4KFBC32knLdVgu5Xi5nkS4/TtgCUbQt3PVKcRwqI52Fozp5sfp27F8O3enD98+CT5CeNCx1HbszbvVn7XAAmFENlm66ifyujuCQidZ7DdSnHzPFsD4elD6LIQrOR/kRCq1SjhRp8mZZm3/SLn7sblaF+z/55NbFIskwMmY6WR61sI5YrXhoDBsHs6RJ4yyC7lyv63S9vg2I/Qagq4lVKdRgjx/wa1KE/ZQvkZujKc5NTsNU/tvbWXPy/9yfA6wynuXNzACYUQ2dZ0FHhUgNV99VMd5ZAUN//r6SNYOwDKNodaH6hOI4T4H/Y21szp7selqMcs2Hkpy9vHJsUy4cAEAooG8Gb5N3MhoRAi22zs9c1T987B3pk53p0UN/9r00hITtCPnqjRqE4jhPiXqkVdGdi8PAt3X2HvxXtZ2nba4WkkpiYyocEENHJ9C2F8ivhCk5Gwby7cPpqjXUlx849z6+DkCmg7A1yLqU4jhHiBz5uWpUmFQvT5+SjhN2Mytc32G9vZcHUDo/xH4ZXPK3cDCiGyr+EQ8PLRN0+lJGZ7N1LcAMTfh3WDoWJ78HtbdRohxEvYWFux8N2aVPRy5sPlR7h2/+XTMzxMfMjkg5Np5t2MjmU65lFKIUS2WNvqm6ceXYddU7K9GyludDpYPwR0Wug4T5qjhDABjnbWLOtVBzcnW3ouO0R03PO/4el0OiaHTUar0xJUP0iao4QwBYUrw2tj4cACuBGWrV1IcXP6Tzi3FjrMhfyFVacRQmSSWz47furtT0qqjl4/HCEuMeWZdTZe28j2iO0E1gvEw9FDQUohRLbU7w/edSGkr34qpCyy7OLmcSRsGAZVX4eqXVWnEUJkUbECjvz4UV1uP0rg05/+Jin1vxPwRSdEM/XQVNqUakPrUq0VphRCZJmVtX7uqceRsG181jfPhUimQaeDtQPB2g7az1GdRgiRTRW9nPmuVx2ORcQwZMUJ0rQ6ElISGH9gPLZWtoz1H6s6ohAiOwqWhZaT4MhSuLo7S5saRXGzcOFCSpUqhYODA/7+/hw+fPil669atYpKlSrh4OCAj48PGzduzPpBT66ES1ug03xwcs9mciGEMahb2p2v3vZj69VQOv3en6Yrm3LgzgEmNphIAYcCquMJIbKrzsdQqhGs6a+fGimTlBc3K1asYOjQoYwfP55jx47h5+dH69atiY6Ofu76Bw4c4J133qF3794cP36cLl260KVLF06fPp21A28bD9V7QMW2BjgLIYQq12OvM//YfL48/wGOJZZyPf4MVZ06s6HrBpp4N1EdTwiRE1ZW0HkhPI2BLWMyvZlGp9Ppci/Vq/n7+1OnTh0WLFgAgFarxdvbmwEDBjBq1Khn1n/rrbeIj49n/fr16cvq1atH9erVWbx48SuPFxcXh6urK7HBFXAZehgcXA13MkKIPBGbFMvma5tZe3UtJ++dxNnWmdalW9OpbCf2hOdj3o5LTH/dh7frllAdVQhhCEd/hHUDYUJspla3yeU4L5WcnMzRo0cZPXp0+jIrKytatGhBWNjzu3+FhYUxdOjQDMtat25NSEjIc9dPSkoiKSkp/e+xsfr/MQ2crLH+qXEOz0AIoUKqNhUrjRX+Xv5MqDmBRsUa4WDjAECZujpu33vAiN8OMXblEbVBhRAGko+vravRMC4OZ2fnVw7roLS4uX//PmlpaXh6emZY7unpyfnz55+7TWRk5HPXj4yMfO7606ZNY+LEic8sPzPkXDZTCyGMxWlO8z3fq44hhMgD7QFmuhIbG4uLi8tL11Va3OSF0aNHZ7jTo9VqefjwIQULFjS7Ab3i4uLw9vbm5s2br/zgTZWco3kw93M09/MDOUdzYYrn6Ozs/Mp1lBY3Hh4eWFtbExUVlWF5VFQUXl7Pn//Fy8srS+vb29tjb2+fYVmBAgWyH9oEuLi4mMw/0uySczQP5n6O5n5+IOdoLsztHJX2lrKzs6NWrVrs2LEjfZlWq2XHjh3Ur1//udvUr18/w/oA27Zte+H6QgghhLAsypulhg4dSq9evahduzZ169Zl3rx5xMfH8+GHHwLQs2dPihUrxrRp0wAYNGgQTZo0Yc6cObRv357ff/+dv//+myVLlqg8DSGEEEIYCeXFzVtvvcW9e/cICgoiMjKS6tWrs3nz5vSHhiMiIrCy+u8NpgYNGvDrr78SGBjImDFjKF++PCEhIVSrVk3VKRgNe3t7xo8f/0wznDmRczQP5n6O5n5+IOdoLsz1HJWPcyOEEEIIYUjKRygWQgghhDAkKW6EEEIIYVakuBFCCCGEWZHiRgghhBBmRYobEzNt2jTq1KmDs7MzhQsXpkuXLly4cCHDOk2bNkWj0WR49enTR1HirJswYcIz+StVqpT+fmJiIv369aNgwYLkz5+fN95445mBHY1dqVKlnjlHjUZDv379ANP8DPfu3UvHjh0pWrQoGo3mmfnedDodQUFBFClSBEdHR1q0aMGlS5cyrPPw4UN69OiBi4sLBQoUoHfv3jx58iQPz+LlXnaOKSkpjBw5Eh8fH/Lly0fRokXp2bMnd+7cybCP533206dPz+MzebFXfY4ffPDBM/nbtGmTYR1T/hyB516bGo2GWbNmpa9jzJ9jZn5PZObnaEREBO3bt8fJyYnChQvzxRdfkJqampenkm1S3JiYPXv20K9fPw4ePMi2bdtISUmhVatWxMfHZ1jvk08+4e7du+mvmTNnKkqcPVWrVs2Qf//+/envDRkyhHXr1rFq1Sr27NnDnTt3eP311xWmzbojR45kOL9t27YB0K1bt/R1TO0zjI+Px8/Pj4ULFz73/ZkzZzJ//nwWL17MoUOHyJcvH61btyYxMTF9nR49enDmzBm2bdvG+vXr2bt3L59++mlencIrvewcExISOHbsGOPGjePYsWP89ddfXLhwgU6dOj2z7qRJkzJ8tgMGDMiL+Jnyqs8RoE2bNhny//bbbxneN+XPEchwbnfv3mXZsmVoNBreeOONDOsZ6+eYmd8Tr/o5mpaWRvv27UlOTubAgQP8+OOPLF++nKCgIBWnlHU6YdKio6N1gG7Pnj3py5o0aaIbNGiQulA5NH78eJ2fn99z34uJidHZ2trqVq1alb7s3LlzOkAXFhaWRwkNb9CgQbqyZcvqtFqtTqcz/c8Q0K1evTr971qtVufl5aWbNWtW+rKYmBidvb297rffftPpdDrd2bNndYDuyJEj6ets2rRJp9FodLdv386z7Jn173N8nsOHD+sA3Y0bN9KXlSxZUvfll1/mbjgDed459urVS9e5c+cXbmOOn2Pnzp11r732WoZlpvQ5/vv3RGZ+jm7cuFFnZWWli4yMTF9n0aJFOhcXF11SUlLenkA2yJ0bExcbGwuAu7t7huW//PILHh4eVKtWjdGjR5OQkKAiXrZdunSJokWLUqZMGXr06EFERAQAR48eJSUlhRYtWqSvW6lSJUqUKEFYWJiquDmSnJzMzz//zEcffZRhMldT/wz/17Vr14iMjMzwubm6uuLv75/+uYWFhVGgQAFq166dvk6LFi2wsrLi0KFDeZ7ZEGJjY9FoNM/MZzd9+nQKFixIjRo1mDVrlsnc6v/H7t27KVy4MBUrVqRv3748ePAg/T1z+xyjoqLYsGEDvXv3fuY9U/kc//17IjM/R8PCwvDx8UkfUBegdevWxMXFcebMmTxMnz3KRygW2afVahk8eDABAQEZRmh+9913KVmyJEWLFuXkyZOMHDmSCxcu8NdffylMm3n+/v4sX76cihUrcvfuXSZOnEijRo04ffo0kZGR2NnZPfPLwtPTk8jISDWBcygkJISYmBg++OCD9GWm/hn+2z+fzf/+oPzn7/+8FxkZSeHChTO8b2Njg7u7u0l+tomJiYwcOZJ33nknw4SEAwcOpGbNmri7u3PgwAFGjx7N3bt3mTt3rsK0mdemTRtef/11SpcuzZUrVxgzZgxt27YlLCwMa2trs/scf/zxR5ydnZ9p+jaVz/F5vycy83M0MjLyudfrP+8ZOyluTFi/fv04ffp0hudRgAxt2z4+PhQpUoTmzZtz5coVypYtm9cxs6xt27bpf/b19cXf35+SJUuycuVKHB0dFSbLHd9//z1t27alaNGi6ctM/TO0dCkpKXTv3h2dTseiRYsyvDd06ND0P/v6+mJnZ8dnn33GtGnTTGII/Lfffjv9zz4+Pvj6+lK2bFl2795N8+bNFSbLHcuWLaNHjx44ODhkWG4qn+OLfk+YO2mWMlH9+/dn/fr17Nq1i+LFi790XX9/fwAuX76cF9EMrkCBAlSoUIHLly/j5eVFcnIyMTExGdaJiorCy8tLTcAcuHHjBtu3b+fjjz9+6Xqm/hn+89n8uzfG/35uXl5eREdHZ3g/NTWVhw8fmtRn+09hc+PGDbZt25bhrs3z+Pv7k5qayvXr1/MmoIGVKVMGDw+P9H+b5vI5Auzbt48LFy688voE4/wcX/R7IjM/R728vJ57vf7znrGT4sbE6HQ6+vfvz+rVq9m5cyelS5d+5TYnTpwAoEiRIrmcLnc8efKEK1euUKRIEWrVqoWtrS07duxIf//ChQtERERQv379/2vv3kKi6P8wgD8jnjqttrqlFWoHo7N2Zitc65UwOtOFBVEYFeWFQVtZRGRBx4vyJqKoLCjEiy6KCIvSlbKIDNe6Ka3WIjIkSVPWytrnfxHu+y6WWv11c3k+sBc785uZ73d+6+7D6Lh+rPL35OfnY9CgQVi4cGGH43r7HA4fPhwxMTE+8/bx40c8ePDAO29WqxUNDQ149OiRd0xxcTE8Ho833P3t2oJNdXU1bt26haioqE63cTqdCAoKavernN7izZs3qK+v9742A2Ee25w9exZTp05FUlJSp2P/pnns7HOiK++jVqsVT5488QmqbWF93LhxPdPIn/DzHzTLL9q8eTMjIiLocDhYW1vrfbjdbpLk8+fPuX//fpaXl9PlcvHKlSscMWIEU1JS/Fx519ntdjocDrpcLpaVlTEtLY3R0dGsq6sjSW7atIlxcXEsLi5meXk5rVYrrVarn6v+dd++fWNcXBxzcnJ8lvfWOWxqamJFRQUrKioIgMeOHWNFRYX3TqHDhw8zMjKSV65c4ePHj7l06VIOHz6cLS0t3n2kp6dz8uTJfPDgAe/evcvExESuWrXKXy2101GPX7584ZIlSzhs2DA6nU6fn8+2u0vu3bvH48eP0+l08sWLF7x48SItFgvXrFnj587+1VGPTU1N3LZtG+/fv0+Xy8Vbt25xypQpTExM5KdPn7z76M3z2KaxsZF9+/blyZMn223/t89jZ58TZOfvo1+/fuWECRM4f/58Op1OFhUV0WKxcNeuXf5o6Zcp3PQyAH74yM/PJ0m+fv2aKSkpNJvNDAsL46hRo7h9+3Y2Njb6t/BfkJGRwdjYWIaGhnLo0KHMyMjg8+fPvetbWlqYlZXFgQMHsm/fvly+fDlra2v9WPHvuXHjBgHw2bNnPst76xyWlJT88LW5du1akt9vB9+zZw8HDx7MsLAw/vPPP+16r6+v56pVq9i/f3+aTCZmZmayqanJD938WEc9ulyun/58lpSUkCQfPXrEmTNnMiIiguHh4Rw7diwPHjzoEwz8raMe3W4358+fT4vFwpCQEMbHx3PDhg0+twuTvXse25w6dYp9+vRhQ0NDu+3/9nns7HOC7Nr7aE1NDRcsWMA+ffowOjqadrudra2tPdzN7zFIspsuComIiIj0OP3NjYiIiAQUhRsREREJKAo3IiIiElAUbkRERCSgKNyIiIhIQFG4ERERkYCicCMiIiIBReFGREREAorCjYhIFyUkJCAvL8/fZYhIJxRuROSvlJubi+TkZL8c+/z584iMjPTLsUXkzynciIj8R2trq79LEJE/pHAjIt0iNTUV2dnZ2LFjB8xmM2JiYpCbm+td39DQgPXr18NiscBkMmHevHmorKwE8P3Kyb59+1BZWQnDMGAYBs6fP49t27Zh0aJF3n3k5eXBMAwUFRV5l40aNQpnzpwBAHg8Huzfvx/Dhg1DWFgYkpOTfcbW1NTAMAwUFhbCZrMhPDwcly5dQmZmJhobG73H/m/dbrcb69atw4ABAxAXF4fTp0930xkUkd/m72/uFJHAZLPZaDKZmJuby6qqKl64cIGGYfDmzZskybS0NC5evJgPHz5kVVUV7XY7o6KiWF9fT7fbTbvdzvHjx7O2tpa1tbV0u928evUqIyIi+PXrV5LksmXLGB0dzZycHJLkmzdvCIDV1dUkyWPHjtFkMrGgoIBPnz7ljh07GBISwqqqKpL0fpN3QkICL1++zJcvX7KmpoZ5eXk0mUzeY7d9o3V8fDzNZjNPnDjB6upqHjp0iEFBQXz69GlPn14R6YDCjYh0C5vNxjlz5vgsmz59OnNycnjnzh2aTCZ++vTJZ/3IkSN56tQpkuTevXuZlJTks/7Dhw8MCgriw4cP6fF4aDabeejQIc6cOZMkefHiRQ4dOtQ7fsiQITxw4EC7GrKyskj+G27y8vJ8xuTn5zMiIqJdT/Hx8Vy9erX3ucfj4aBBg3jy5MkunBER6SnBfr5wJCIBbNKkST7PY2NjUVdXh8rKSjQ3NyMqKspnfUtLC168ePHT/UVGRiIpKQkOhwOhoaEIDQ3Fxo0bsXfvXjQ3N6O0tBQ2mw0A8PHjR7x9+xazZ8/22cfs2bO9v/5qM23atN/qyTAMxMTEoK6ursvbi0j3U7gRkW4TEhLi89wwDHg8HjQ3NyM2NhYOh6PdNp3dpZSamgqHw4GwsDDYbDaYzWaMHTsWd+/eRWlpKex2+y/X2a9fvy6P/VlPIvL3ULgRkR43ZcoUvHv3DsHBwUhISPjhmNDQUHz79q3dcpvNhnPnziE4OBjp6ekAvgeegoICVFVVITU1FQBgMpkwZMgQlJWVea/mAEBZWRlmzJjRYX0/O7aI9A66W0pEelxaWhqsViuWLVuGmzdvoqamBvfu3cPu3btRXl4O4Ps/zHO5XHA6nXj//j0+f/4MAEhJSUFTUxOuXbvmDTKpqam4dOkSYmNjMXr0aO9xtm/fjiNHjqCwsBDPnj3Dzp074XQ6sWXLlg7rS0hIQHNzM27fvo3379/D7XZ3z4kQkW6hcCMiPc4wDFy/fh0pKSnIzMzE6NGjsXLlSrx69QqDBw8GAKxYsQLp6emYO3cuLBYLCgoKAAADBw7ExIkTYbFYMGbMGADfA4/H4/G5QgMA2dnZ2Lp1K+x2OyZOnIiioiJcvXoViYmJHdY3a9YsbNq0CRkZGbBYLDh69Gg3nAUR6S4GSfq7CBEREZH/F125ERERkYCicCMiIiIBReFGREREAorCjYiIiAQUhRsREREJKAo3IiIiElAUbkRERCSgKNyIiIhIQFG4ERERkYCicCMiIiIBReFGREREAsr/AORgdbnZ4cqkAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "age_cat.automf(3, variable_type= \"quant\")\n",
    "age_cat.view()\n",
    "networth.automf(3, variable_type=\"quant\")\n",
    "networth.view()\n",
    "rank.automf(5, variable_type=\"quant\")\n",
    "rank.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# формирование и визуализация нечётких правил"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(<Figure size 640x480 with 1 Axes>, <Axes: >)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import skfuzzy as fuzz\n",
    "from skfuzzy import control as ctrl \n",
    "rule1 = ctrl.Rule(age_cat['low'] & networth['low'], rank['lower'])\n",
    "rule2 = ctrl.Rule(age_cat['low'] & networth['average'], rank['low'])\n",
    "rule3 = ctrl.Rule(age_cat['low'] & networth['high'], rank['average'])\n",
    "rule4 = ctrl.Rule(age_cat['average'] & networth['low'], rank['lower'])\n",
    "rule5 = ctrl.Rule(age_cat['average'] & networth['average'], rank['average'])\n",
    "rule6 = ctrl.Rule(age_cat['average'] & networth['high'], rank['high'])\n",
    "rule7 = ctrl.Rule(age_cat['high'] & networth['low'], rank['average'])\n",
    "rule8 = ctrl.Rule(age_cat['high'] & networth['average'], rank['high'])\n",
    "rule9 = ctrl.Rule(age_cat['high'] & networth['high'], rank['higher'])\n",
    "\n",
    "rule1.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# создание нечеткой системы и добавление нечетких правил в базу знаний нечеткой системы"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "rank_ctrl = ctrl.ControlSystem(\n",
    "    [\n",
    "        rule1,\n",
    "        rule2,\n",
    "        rule3,\n",
    "        rule4,\n",
    "        rule5,\n",
    "        rule6,\n",
    "        rule7,\n",
    "        rule8,\n",
    "        rule9,\n",
    "    ]\n",
    ")\n",
    "\n",
    "ranks = ctrl.ControlSystemSimulation(rank_ctrl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# пример расчёта rank на основе age_cat и networth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=============\n",
      " Antecedents \n",
      "=============\n",
      "Antecedent: age_cat                 = 50\n",
      "  - low                             : 0.2345679012345679\n",
      "  - average                         : 0.7654320987654321\n",
      "  - high                            : 0.0\n",
      "Antecedent: networth                = 219\n",
      "  - low                             : 0.0\n",
      "  - average                         : 0.0\n",
      "  - high                            : 1.0\n",
      "\n",
      "=======\n",
      " Rules \n",
      "=======\n",
      "RULE #0:\n",
      "  IF age_cat[low] AND networth[low] THEN rank[higher]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[low]                                           : 0.2345679012345679\n",
      "  - networth[low]                                          : 0.0\n",
      "                            age_cat[low] AND networth[low] = 0.0\n",
      "  Activation (THEN-clause):\n",
      "                                              rank[higher] : 0.0\n",
      "\n",
      "RULE #1:\n",
      "  IF age_cat[low] AND networth[average] THEN rank[high]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[low]                                           : 0.2345679012345679\n",
      "  - networth[average]                                      : 0.0\n",
      "                        age_cat[low] AND networth[average] = 0.0\n",
      "  Activation (THEN-clause):\n",
      "                                                rank[high] : 0.0\n",
      "\n",
      "RULE #2:\n",
      "  IF age_cat[low] AND networth[high] THEN rank[low]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[low]                                           : 0.2345679012345679\n",
      "  - networth[high]                                         : 1.0\n",
      "                           age_cat[low] AND networth[high] = 0.2345679012345679\n",
      "  Activation (THEN-clause):\n",
      "                                                 rank[low] : 0.2345679012345679\n",
      "\n",
      "RULE #3:\n",
      "  IF age_cat[average] AND networth[low] THEN rank[high]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[average]                                       : 0.7654320987654321\n",
      "  - networth[low]                                          : 0.0\n",
      "                        age_cat[average] AND networth[low] = 0.0\n",
      "  Activation (THEN-clause):\n",
      "                                                rank[high] : 0.0\n",
      "\n",
      "RULE #4:\n",
      "  IF age_cat[average] AND networth[average] THEN rank[average]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[average]                                       : 0.7654320987654321\n",
      "  - networth[average]                                      : 0.0\n",
      "                    age_cat[average] AND networth[average] = 0.0\n",
      "  Activation (THEN-clause):\n",
      "                                             rank[average] : 0.0\n",
      "\n",
      "RULE #5:\n",
      "  IF age_cat[average] AND networth[high] THEN rank[lower]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[average]                                       : 0.7654320987654321\n",
      "  - networth[high]                                         : 1.0\n",
      "                       age_cat[average] AND networth[high] = 0.7654320987654321\n",
      "  Activation (THEN-clause):\n",
      "                                               rank[lower] : 0.7654320987654321\n",
      "\n",
      "RULE #6:\n",
      "  IF age_cat[high] AND networth[low] THEN rank[higher]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[high]                                          : 0.0\n",
      "  - networth[low]                                          : 0.0\n",
      "                           age_cat[high] AND networth[low] = 0.0\n",
      "  Activation (THEN-clause):\n",
      "                                              rank[higher] : 0.0\n",
      "\n",
      "RULE #7:\n",
      "  IF age_cat[high] AND networth[average] THEN rank[low]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[high]                                          : 0.0\n",
      "  - networth[average]                                      : 0.0\n",
      "                       age_cat[high] AND networth[average] = 0.0\n",
      "  Activation (THEN-clause):\n",
      "                                                 rank[low] : 0.0\n",
      "\n",
      "RULE #8:\n",
      "  IF age_cat[high] AND networth[high] THEN rank[lower]\n",
      "\tAND aggregation function : fmin\n",
      "\tOR aggregation function  : fmax\n",
      "\n",
      "  Aggregation (IF-clause):\n",
      "  - age_cat[high]                                          : 0.0\n",
      "  - networth[high]                                         : 1.0\n",
      "                          age_cat[high] AND networth[high] = 0.0\n",
      "  Activation (THEN-clause):\n",
      "                                               rank[lower] : 0.0\n",
      "\n",
      "\n",
      "==============================\n",
      " Intermediaries and Conquests \n",
      "==============================\n",
      "Consequent: rank                     = 446.6186379699145\n",
      "  lower:\n",
      "    Accumulate using accumulation_max : 0.7654320987654321\n",
      "  low:\n",
      "    Accumulate using accumulation_max : 0.2345679012345679\n",
      "  average:\n",
      "    Accumulate using accumulation_max : 0.0\n",
      "  high:\n",
      "    Accumulate using accumulation_max : 0.0\n",
      "  higher:\n",
      "    Accumulate using accumulation_max : 0.0\n",
      "\n",
      "446.6186379699145\n"
     ]
    }
   ],
   "source": [
    "ranks.input['age_cat'] = 50\n",
    "ranks.input['networth'] = 219\n",
    "ranks.compute()\n",
    "ranks.print_state()\n",
    "print(ranks.output['rank'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# тестирование нечёткой системы"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Networth</th>\n",
       "      <th>Rank</th>\n",
       "      <th>Pred</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>50</td>\n",
       "      <td>219.0</td>\n",
       "      <td>1</td>\n",
       "      <td>446.618638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>58</td>\n",
       "      <td>171.0</td>\n",
       "      <td>2</td>\n",
       "      <td>948.540336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>73</td>\n",
       "      <td>158.0</td>\n",
       "      <td>3</td>\n",
       "      <td>952.599948</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>66</td>\n",
       "      <td>129.0</td>\n",
       "      <td>4</td>\n",
       "      <td>1138.614099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>91</td>\n",
       "      <td>118.0</td>\n",
       "      <td>5</td>\n",
       "      <td>814.043935</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>49</td>\n",
       "      <td>111.0</td>\n",
       "      <td>6</td>\n",
       "      <td>1473.194767</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>48</td>\n",
       "      <td>107.0</td>\n",
       "      <td>7</td>\n",
       "      <td>1498.674963</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>77</td>\n",
       "      <td>106.0</td>\n",
       "      <td>8</td>\n",
       "      <td>1040.193500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>66</td>\n",
       "      <td>91.4</td>\n",
       "      <td>9</td>\n",
       "      <td>1309.303429</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>64</td>\n",
       "      <td>90.7</td>\n",
       "      <td>10</td>\n",
       "      <td>1344.732355</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>59</td>\n",
       "      <td>90.0</td>\n",
       "      <td>11</td>\n",
       "      <td>1435.386123</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>80</td>\n",
       "      <td>82.0</td>\n",
       "      <td>12</td>\n",
       "      <td>1200.124026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>82</td>\n",
       "      <td>81.2</td>\n",
       "      <td>13</td>\n",
       "      <td>1185.800088</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>68</td>\n",
       "      <td>74.8</td>\n",
       "      <td>14</td>\n",
       "      <td>1370.702727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>37</td>\n",
       "      <td>67.3</td>\n",
       "      <td>15</td>\n",
       "      <td>1689.837998</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Age  Networth  Rank          Pred\n",
       "0    50     219.0      1   446.618638\n",
       "1    58     171.0      2   948.540336\n",
       "2    73     158.0      3   952.599948\n",
       "3    66     129.0      4  1138.614099\n",
       "4    91     118.0      5   814.043935\n",
       "5    49     111.0      6  1473.194767\n",
       "6    48     107.0      7  1498.674963\n",
       "7    77     106.0      8  1040.193500\n",
       "8    66      91.4      9  1309.303429\n",
       "9    64      90.7     10  1344.732355\n",
       "10   59      90.0     11  1435.386123\n",
       "11   80      82.0     12  1200.124026\n",
       "12   82      81.2     13  1185.800088\n",
       "13   68      74.8     14  1370.702727\n",
       "14   37      67.3     15  1689.837998"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def fuzzy_pred(row):\n",
    "    ranks.input['age_cat'] = row['Age']\n",
    "    ranks.input['networth'] = row['Networth']\n",
    "    ranks.compute()\n",
    "    return ranks.output['rank']\n",
    "\n",
    "res = df[['Age', 'Networth', 'Rank ']].head(100)\n",
    "\n",
    "res['Pred'] = res.apply(fuzzy_pred, axis=1)\n",
    "\n",
    "res.head(15)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# оценка результатов (метрики для задачи регрессии)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'RMSE': 1526.018176278599,\n",
       " 'RMAE': 38.87544820606799,\n",
       " 'R2': -2805.351442150934}"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import math\n",
    "from sklearn import metrics\n",
    "\n",
    "\n",
    "rmetrics = {}\n",
    "rmetrics[\"RMSE\"] = math.sqrt(metrics.mean_squared_error(res['Rank '], res['Pred']))\n",
    "rmetrics[\"RMAE\"] = math.sqrt(metrics.mean_absolute_error(res['Rank '], res['Pred']))\n",
    "rmetrics[\"R2\"] = metrics.r2_score(res['Rank '], res['Pred'])\n",
    "\n",
    "rmetrics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "p.s. менять датасет нет смысла. все подобные датасеты имеют одинаковые колонки. какой не возьми, резульат не хороший"
   ]
  }
 ],
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    "name": "ipython",
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