dram_shop_dimensionality_reduction.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dram Shop Principal Component Analysis (PCA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas_gbq\n",
    "\n",
    "from google.cloud import bigquery\n",
    "from google.oauth2 import service_account\n",
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## GBQ setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "# These first two values will be different on your machine. \n",
    "service_path = \"/Users/xinbu/Desktop/ADA/Repos/assignment-pca-dram-Xin-Bu/\"\n",
    "\n",
    "service_file = 'umt-msba-gg-key.json'  \n",
    "gbq_proj_id = 'umt-msba'\n",
    "\n",
    "# And this should stay the same. \n",
    "private_key =service_path + service_file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now we pass in our credentials so that Python has permission to access our project.\n",
    "credentials = service_account.Credentials.from_service_account_file(service_path + service_file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "# And finally we establish our connection\n",
    "client = bigquery.Client(credentials = credentials, project=gbq_proj_id)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "umt-msba:dram_shop\n",
      "umt-msba:transactions\n",
      "umt-msba:wedge_example\n",
      "umt-msba:wedge_transactions\n"
     ]
    }
   ],
   "source": [
    "for item in client.list_datasets() : \n",
    "    print(item.full_dataset_id)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## GBQ Query"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Downloading: 100%|██████████| 275713/275713 [00:11<00:00, 23840.85rows/s]\n"
     ]
    }
   ],
   "source": [
    "gross_sales = \"\"\" \n",
    "            SELECT customer_id,\n",
    "                   beverage,\n",
    "                   SUM(gross_sales) AS gross_sales\n",
    "            FROM `umt-msba.dram_shop.dram_items_*` AS ds\n",
    "            LEFT JOIN `umt-msba.dram_shop.item_lookup` AS lk\n",
    "                    ON ds.item=lk.item\n",
    "            WHERE customer_id IS NOT NULL\n",
    "                  AND lk.beverage IN (\n",
    "                                      SELECT beverage\n",
    "                                      FROM `umt-msba.dram_shop.item_lookup` AS lk\n",
    "                                      LEFT JOIN `umt-msba.dram_shop.dram_items_*` AS sd\n",
    "                                      ON lk.item=sd.item\n",
    "                                      WHERE beverage IS NOT NULL\n",
    "                                      GROUP BY beverage\n",
    "                                      ORDER BY SUM(gross_sales) DESC\n",
    "                                      LIMIT 1000 \n",
    "                                      )\n",
    "                  AND beverage != \"custom amount\"\n",
    "            GROUP BY customer_id, beverage\n",
    "            ORDER BY gross_sales DESC\n",
    "            \"\"\"\n",
    "\n",
    "lo= pandas_gbq.read_gbq(gross_sales, project_id = gbq_proj_id)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_lo=lo.pivot(index=\"customer_id\", columns=\"beverage\", values= \"gross_sales\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "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>beverage</th>\n",
       "      <th>$15flight!</th>\n",
       "      <th>$2 ipa - fourth anniversary party</th>\n",
       "      <th>$5 beer!</th>\n",
       "      <th>$6 beer!</th>\n",
       "      <th>$6 token</th>\n",
       "      <th>'jamaica' orange sour with hibiscus</th>\n",
       "      <th>(mountains walking) yamabiko japanese lager 16oz can</th>\n",
       "      <th>*** tasting/seasonal/event  ***</th>\n",
       "      <th>*roca altxerri camino</th>\n",
       "      <th>- all day ipa</th>\n",
       "      <th>...</th>\n",
       "      <th>wolf point strawberry wheat</th>\n",
       "      <th>wolf pup</th>\n",
       "      <th>woot stout</th>\n",
       "      <th>yaak attack ipa</th>\n",
       "      <th>yamabiko rice lager</th>\n",
       "      <th>yard sale amber</th>\n",
       "      <th>yellow snow</th>\n",
       "      <th>zero day double ipa</th>\n",
       "      <th>zymopunk pilsner</th>\n",
       "      <th>¡viva la pineapple!</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>customer_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>,</th>\n",
       "      <td>0.0</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>8.75</td>\n",
       "      <td>7.5</td>\n",
       "      <td>...</td>\n",
       "      <td>13.5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>23.0</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>,</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>10.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>, ,</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>, ,</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>, , ,</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</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",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\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>zszfbk5uVoxrUZOn</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>5.5</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zvFsSFDDhGlLHGVU</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zvZxFT28H_Td2Yx2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zwg2vtAe2NiNeCRW</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>67256 rows × 998 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "beverage                                      $15flight!  \\\n",
       "customer_id                                                \n",
       ",                                                    0.0   \n",
       ",                                                    0.0   \n",
       ", ,                                                  0.0   \n",
       ", ,                                                  0.0   \n",
       ", , ,                                                0.0   \n",
       "...                                                  ...   \n",
       "zszfbk5uVoxrUZOn                                     0.0   \n",
       "zvFsSFDDhGlLHGVU                                     0.0   \n",
       "zvZxFT28H_Td2Yx2                                     0.0   \n",
       "zwg2vtAe2NiNeCRW                                     0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW         0.0   \n",
       "\n",
       "beverage                                      $2 ipa - fourth anniversary party  \\\n",
       "customer_id                                                                       \n",
       ",                                                                           2.0   \n",
       ",                                                                           0.0   \n",
       ", ,                                                                         0.0   \n",
       ", ,                                                                         0.0   \n",
       ", , ,                                                                       0.0   \n",
       "...                                                                         ...   \n",
       "zszfbk5uVoxrUZOn                                                            0.0   \n",
       "zvFsSFDDhGlLHGVU                                                            0.0   \n",
       "zvZxFT28H_Td2Yx2                                                            0.0   \n",
       "zwg2vtAe2NiNeCRW                                                            0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                                0.0   \n",
       "\n",
       "beverage                                      $5 beer!  $6 beer!  $6 token  \\\n",
       "customer_id                                                                  \n",
       ",                                                  0.0       0.0       0.0   \n",
       ",                                                  0.0       0.0       0.0   \n",
       ", ,                                                0.0       0.0       0.0   \n",
       ", ,                                                0.0       0.0       0.0   \n",
       ", , ,                                              0.0       0.0       0.0   \n",
       "...                                                ...       ...       ...   \n",
       "zszfbk5uVoxrUZOn                                   0.0       0.0       0.0   \n",
       "zvFsSFDDhGlLHGVU                                   0.0       0.0       0.0   \n",
       "zvZxFT28H_Td2Yx2                                   0.0       0.0       0.0   \n",
       "zwg2vtAe2NiNeCRW                                   0.0       0.0       0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW       0.0       0.0       0.0   \n",
       "\n",
       "beverage                                      'jamaica' orange sour with hibiscus  \\\n",
       "customer_id                                                                         \n",
       ",                                                                             0.0   \n",
       ",                                                                             0.0   \n",
       ", ,                                                                           0.0   \n",
       ", ,                                                                           0.0   \n",
       ", , ,                                                                         0.0   \n",
       "...                                                                           ...   \n",
       "zszfbk5uVoxrUZOn                                                              0.0   \n",
       "zvFsSFDDhGlLHGVU                                                              0.0   \n",
       "zvZxFT28H_Td2Yx2                                                              0.0   \n",
       "zwg2vtAe2NiNeCRW                                                              0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                                  0.0   \n",
       "\n",
       "beverage                                      (mountains walking) yamabiko japanese lager 16oz can  \\\n",
       "customer_id                                                                                          \n",
       ",                                                                                           0.0      \n",
       ",                                                                                           0.0      \n",
       ", ,                                                                                         0.0      \n",
       ", ,                                                                                         0.0      \n",
       ", , ,                                                                                       0.0      \n",
       "...                                                                                         ...      \n",
       "zszfbk5uVoxrUZOn                                                                            0.0      \n",
       "zvFsSFDDhGlLHGVU                                                                            0.0      \n",
       "zvZxFT28H_Td2Yx2                                                                            0.0      \n",
       "zwg2vtAe2NiNeCRW                                                                            0.0      \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                                                0.0      \n",
       "\n",
       "beverage                                      *** tasting/seasonal/event  ***  \\\n",
       "customer_id                                                                     \n",
       ",                                                                         0.0   \n",
       ",                                                                         0.0   \n",
       ", ,                                                                       0.0   \n",
       ", ,                                                                       0.0   \n",
       ", , ,                                                                     0.0   \n",
       "...                                                                       ...   \n",
       "zszfbk5uVoxrUZOn                                                          0.0   \n",
       "zvFsSFDDhGlLHGVU                                                          0.0   \n",
       "zvZxFT28H_Td2Yx2                                                          0.0   \n",
       "zwg2vtAe2NiNeCRW                                                          0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                              0.0   \n",
       "\n",
       "beverage                                      *roca altxerri camino  \\\n",
       "customer_id                                                           \n",
       ",                                                              8.75   \n",
       ",                                                              0.00   \n",
       ", ,                                                            0.00   \n",
       ", ,                                                            0.00   \n",
       ", , ,                                                          0.00   \n",
       "...                                                             ...   \n",
       "zszfbk5uVoxrUZOn                                               0.00   \n",
       "zvFsSFDDhGlLHGVU                                               0.00   \n",
       "zvZxFT28H_Td2Yx2                                               0.00   \n",
       "zwg2vtAe2NiNeCRW                                               0.00   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                   0.00   \n",
       "\n",
       "beverage                                      - all day ipa  ...  \\\n",
       "customer_id                                                  ...   \n",
       ",                                                       7.5  ...   \n",
       ",                                                       0.0  ...   \n",
       ", ,                                                     0.0  ...   \n",
       ", ,                                                     0.0  ...   \n",
       ", , ,                                                   0.0  ...   \n",
       "...                                                     ...  ...   \n",
       "zszfbk5uVoxrUZOn                                        0.0  ...   \n",
       "zvFsSFDDhGlLHGVU                                        0.0  ...   \n",
       "zvZxFT28H_Td2Yx2                                        0.0  ...   \n",
       "zwg2vtAe2NiNeCRW                                        0.0  ...   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW            0.0  ...   \n",
       "\n",
       "beverage                                      wolf point strawberry wheat  \\\n",
       "customer_id                                                                 \n",
       ",                                                                    13.5   \n",
       ",                                                                     0.0   \n",
       ", ,                                                                   0.0   \n",
       ", ,                                                                   0.0   \n",
       ", , ,                                                                 0.0   \n",
       "...                                                                   ...   \n",
       "zszfbk5uVoxrUZOn                                                      0.0   \n",
       "zvFsSFDDhGlLHGVU                                                      0.0   \n",
       "zvZxFT28H_Td2Yx2                                                      0.0   \n",
       "zwg2vtAe2NiNeCRW                                                      0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                          0.0   \n",
       "\n",
       "beverage                                      wolf pup  woot stout  \\\n",
       "customer_id                                                          \n",
       ",                                                  0.0         0.0   \n",
       ",                                                  0.0         0.0   \n",
       ", ,                                                0.0         0.0   \n",
       ", ,                                                0.0         0.0   \n",
       ", , ,                                              0.0         0.0   \n",
       "...                                                ...         ...   \n",
       "zszfbk5uVoxrUZOn                                   0.0         0.0   \n",
       "zvFsSFDDhGlLHGVU                                   0.0         0.0   \n",
       "zvZxFT28H_Td2Yx2                                   0.0         0.0   \n",
       "zwg2vtAe2NiNeCRW                                   0.0         0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW       0.0         0.0   \n",
       "\n",
       "beverage                                      yaak attack ipa  \\\n",
       "customer_id                                                     \n",
       ",                                                        54.0   \n",
       ",                                                        10.0   \n",
       ", ,                                                       0.0   \n",
       ", ,                                                       0.0   \n",
       ", , ,                                                     0.0   \n",
       "...                                                       ...   \n",
       "zszfbk5uVoxrUZOn                                          0.0   \n",
       "zvFsSFDDhGlLHGVU                                          0.0   \n",
       "zvZxFT28H_Td2Yx2                                          0.0   \n",
       "zwg2vtAe2NiNeCRW                                          0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW              0.0   \n",
       "\n",
       "beverage                                      yamabiko rice lager  \\\n",
       "customer_id                                                         \n",
       ",                                                             0.0   \n",
       ",                                                             5.0   \n",
       ", ,                                                           0.0   \n",
       ", ,                                                           0.0   \n",
       ", , ,                                                         0.0   \n",
       "...                                                           ...   \n",
       "zszfbk5uVoxrUZOn                                              0.0   \n",
       "zvFsSFDDhGlLHGVU                                              0.0   \n",
       "zvZxFT28H_Td2Yx2                                              0.0   \n",
       "zwg2vtAe2NiNeCRW                                              0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                  0.0   \n",
       "\n",
       "beverage                                      yard sale amber  yellow snow  \\\n",
       "customer_id                                                                  \n",
       ",                                                         0.0         23.0   \n",
       ",                                                         0.0          0.0   \n",
       ", ,                                                       0.0          0.0   \n",
       ", ,                                                       0.0          0.0   \n",
       ", , ,                                                     0.0          0.0   \n",
       "...                                                       ...          ...   \n",
       "zszfbk5uVoxrUZOn                                          0.0          5.5   \n",
       "zvFsSFDDhGlLHGVU                                          0.0          0.0   \n",
       "zvZxFT28H_Td2Yx2                                          0.0          0.0   \n",
       "zwg2vtAe2NiNeCRW                                          0.0          0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW              0.0          0.0   \n",
       "\n",
       "beverage                                      zero day double ipa  \\\n",
       "customer_id                                                         \n",
       ",                                                             9.0   \n",
       ",                                                             0.0   \n",
       ", ,                                                           0.0   \n",
       ", ,                                                           0.0   \n",
       ", , ,                                                         0.0   \n",
       "...                                                           ...   \n",
       "zszfbk5uVoxrUZOn                                              0.0   \n",
       "zvFsSFDDhGlLHGVU                                              0.0   \n",
       "zvZxFT28H_Td2Yx2                                              0.0   \n",
       "zwg2vtAe2NiNeCRW                                              0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                  0.0   \n",
       "\n",
       "beverage                                      zymopunk pilsner  \\\n",
       "customer_id                                                      \n",
       ",                                                          0.0   \n",
       ",                                                          0.0   \n",
       ", ,                                                        0.0   \n",
       ", ,                                                        0.0   \n",
       ", , ,                                                      0.0   \n",
       "...                                                        ...   \n",
       "zszfbk5uVoxrUZOn                                           0.0   \n",
       "zvFsSFDDhGlLHGVU                                           0.0   \n",
       "zvZxFT28H_Td2Yx2                                           0.0   \n",
       "zwg2vtAe2NiNeCRW                                           0.0   \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW               0.0   \n",
       "\n",
       "beverage                                      ¡viva la pineapple!  \n",
       "customer_id                                                        \n",
       ",                                                             0.0  \n",
       ",                                                             0.0  \n",
       ", ,                                                           0.0  \n",
       ", ,                                                           0.0  \n",
       ", , ,                                                         0.0  \n",
       "...                                                           ...  \n",
       "zszfbk5uVoxrUZOn                                              0.0  \n",
       "zvFsSFDDhGlLHGVU                                              0.0  \n",
       "zvZxFT28H_Td2Yx2                                              0.0  \n",
       "zwg2vtAe2NiNeCRW                                              0.0  \n",
       "zwg2vtAe2NiNeCRW, GFM7S3YZVS4YEPRWNMZJ86TMHW                  0.0  \n",
       "\n",
       "[67256 rows x 998 columns]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fill NA with 0.\n",
    "beverage=new_lo.fillna(0)\n",
    "beverage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "beverage_summary = beverage.iloc[:,:].sum().reset_index() \n",
    "beverage_summary = beverage_summary.rename(columns={0:\"total_sales\"})\n",
    "beverage_summary = beverage_summary.set_index(\"beverage\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "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>total_sales</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beverage</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>$15flight!</th>\n",
       "      <td>1410.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$2 ipa - fourth anniversary party</th>\n",
       "      <td>1232.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$5 beer!</th>\n",
       "      <td>1110.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$6 beer!</th>\n",
       "      <td>1110.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$6 token</th>\n",
       "      <td>2988.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yard sale amber</th>\n",
       "      <td>2324.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yellow snow</th>\n",
       "      <td>939.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zero day double ipa</th>\n",
       "      <td>3246.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>zymopunk pilsner</th>\n",
       "      <td>2426.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>¡viva la pineapple!</th>\n",
       "      <td>3197.50</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>998 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   total_sales\n",
       "beverage                                      \n",
       "$15flight!                             1410.00\n",
       "$2 ipa - fourth anniversary party      1232.00\n",
       "$5 beer!                               1110.00\n",
       "$6 beer!                               1110.00\n",
       "$6 token                               2988.00\n",
       "...                                        ...\n",
       "yard sale amber                        2324.25\n",
       "yellow snow                             939.00\n",
       "zero day double ipa                    3246.25\n",
       "zymopunk pilsner                       2426.00\n",
       "¡viva la pineapple!                    3197.50\n",
       "\n",
       "[998 rows x 1 columns]"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beverage_summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "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>total_sales</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beverage</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>carlsberg</th>\n",
       "      <td>32139.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>all day ipa</th>\n",
       "      <td>40683.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pilsner</th>\n",
       "      <td>47993.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>grapefruit raddler</th>\n",
       "      <td>49463.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29p cask beer</th>\n",
       "      <td>49915.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>helles lager</th>\n",
       "      <td>58014.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ipa</th>\n",
       "      <td>62398.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>super pils</th>\n",
       "      <td>103537.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>kombucha</th>\n",
       "      <td>242883.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>single malt ipa</th>\n",
       "      <td>398335.75</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    total_sales\n",
       "beverage                       \n",
       "carlsberg              32139.72\n",
       "all day ipa            40683.50\n",
       "pilsner                47993.25\n",
       "grapefruit raddler     49463.25\n",
       "29p cask beer          49915.50\n",
       "helles lager           58014.75\n",
       "ipa                    62398.25\n",
       "super pils            103537.75\n",
       "kombucha              242883.75\n",
       "single malt ipa       398335.75"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "beverage_summary.sort_values(by=\"total_sales\").tail(n=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "beverage_summary.sort_values(by='total_sales').tail(n=10).plot(kind=\"bar\")\n",
    "plt.title(\"Total Sales by Beverage\")\n",
    "plt.ylabel(\"Sales across Customer_ID\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PCA on Dram Shop Sales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA()"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fit the pca model to all of the columns. \n",
    "pca.fit(beverage)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get explained variance ratio from the PCA model and save it as a dataframe. \n",
    "# The variation explained by the component. A lot of variation was explained by number 0, the first component.\n",
    "explained_variance = pd.DataFrame(pca.explained_variance_ratio_)\n",
    "ax = explained_variance.head(20).plot.bar(legend=False, figsize=(8, 4)) \n",
    "ax.set_xlabel('Component')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Take the cumulative sum of the explained variance ratio.\n",
    "cume_explained_variance = pd.DataFrame(pca.explained_variance_ratio_).cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the cumulative sum of explained variation in the first 20 components. \n",
    "ax = cume_explained_variance.head(20).plot.line(legend=False, figsize=(8, 4))\n",
    "ax.set_xlabel('Component')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The chart above shows the explained variation in the first 20 components, which can explain about 65% of the dependant variable. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Investigate Loadings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "scrolled": true
   },
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>988</th>\n",
       "      <th>989</th>\n",
       "      <th>990</th>\n",
       "      <th>991</th>\n",
       "      <th>992</th>\n",
       "      <th>993</th>\n",
       "      <th>994</th>\n",
       "      <th>995</th>\n",
       "      <th>996</th>\n",
       "      <th>997</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beverage</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>growler - 64 oz miir stainless</th>\n",
       "      <td>-0.000100</td>\n",
       "      <td>0.000153</td>\n",
       "      <td>-0.000119</td>\n",
       "      <td>0.000235</td>\n",
       "      <td>0.000456</td>\n",
       "      <td>0.001902</td>\n",
       "      <td>0.001389</td>\n",
       "      <td>-0.000630</td>\n",
       "      <td>-0.001259</td>\n",
       "      <td>-0.000802</td>\n",
       "      <td>...</td>\n",
       "      <td>4.195862e-17</td>\n",
       "      <td>-7.697835e-18</td>\n",
       "      <td>3.903128e-18</td>\n",
       "      <td>-6.586528e-17</td>\n",
       "      <td>4.445229e-18</td>\n",
       "      <td>3.870602e-17</td>\n",
       "      <td>3.507394e-17</td>\n",
       "      <td>1.268855e-17</td>\n",
       "      <td>-4.526544e-17</td>\n",
       "      <td>-2.485533e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>montana bottle opener</th>\n",
       "      <td>-0.000060</td>\n",
       "      <td>-0.000089</td>\n",
       "      <td>-0.000055</td>\n",
       "      <td>-0.000070</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>0.000438</td>\n",
       "      <td>0.000253</td>\n",
       "      <td>-0.000526</td>\n",
       "      <td>0.000778</td>\n",
       "      <td>0.000285</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.097931e-17</td>\n",
       "      <td>-3.057450e-17</td>\n",
       "      <td>-1.166602e-16</td>\n",
       "      <td>4.613280e-17</td>\n",
       "      <td>6.873842e-17</td>\n",
       "      <td>-8.998878e-18</td>\n",
       "      <td>-3.019503e-17</td>\n",
       "      <td>4.994784e-17</td>\n",
       "      <td>4.282599e-18</td>\n",
       "      <td>3.577867e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$6 beer!</th>\n",
       "      <td>-0.000051</td>\n",
       "      <td>-0.000090</td>\n",
       "      <td>0.000066</td>\n",
       "      <td>-0.000093</td>\n",
       "      <td>-0.000148</td>\n",
       "      <td>-0.000307</td>\n",
       "      <td>-0.000016</td>\n",
       "      <td>-0.000125</td>\n",
       "      <td>0.000050</td>\n",
       "      <td>-0.000028</td>\n",
       "      <td>...</td>\n",
       "      <td>7.449661e-17</td>\n",
       "      <td>-1.621647e-16</td>\n",
       "      <td>-3.945625e-16</td>\n",
       "      <td>7.041398e-17</td>\n",
       "      <td>2.624402e-16</td>\n",
       "      <td>-3.813163e-17</td>\n",
       "      <td>-1.441307e-16</td>\n",
       "      <td>1.030507e-16</td>\n",
       "      <td>-8.631734e-18</td>\n",
       "      <td>-6.831464e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dissident 2014</th>\n",
       "      <td>-0.000045</td>\n",
       "      <td>-0.000017</td>\n",
       "      <td>-0.000092</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>0.000094</td>\n",
       "      <td>0.000149</td>\n",
       "      <td>-0.000167</td>\n",
       "      <td>-0.000004</td>\n",
       "      <td>0.000022</td>\n",
       "      <td>-0.000145</td>\n",
       "      <td>...</td>\n",
       "      <td>-6.938894e-18</td>\n",
       "      <td>-6.570265e-17</td>\n",
       "      <td>-4.336809e-17</td>\n",
       "      <td>7.058156e-17</td>\n",
       "      <td>4.748806e-17</td>\n",
       "      <td>-4.878910e-17</td>\n",
       "      <td>-4.553649e-18</td>\n",
       "      <td>-6.105413e-18</td>\n",
       "      <td>8.131516e-18</td>\n",
       "      <td>4.542807e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$6 token</th>\n",
       "      <td>-0.000040</td>\n",
       "      <td>0.000560</td>\n",
       "      <td>-0.000261</td>\n",
       "      <td>-0.000082</td>\n",
       "      <td>-0.001544</td>\n",
       "      <td>-0.000689</td>\n",
       "      <td>-0.000503</td>\n",
       "      <td>0.000996</td>\n",
       "      <td>0.000908</td>\n",
       "      <td>-0.000427</td>\n",
       "      <td>...</td>\n",
       "      <td>-3.260509e-18</td>\n",
       "      <td>-9.210751e-18</td>\n",
       "      <td>-4.933751e-17</td>\n",
       "      <td>8.861556e-17</td>\n",
       "      <td>1.725959e-17</td>\n",
       "      <td>1.125820e-17</td>\n",
       "      <td>2.616329e-17</td>\n",
       "      <td>-5.746940e-18</td>\n",
       "      <td>2.013234e-18</td>\n",
       "      <td>7.519424e-18</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",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\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>celebration</th>\n",
       "      <td>0.028518</td>\n",
       "      <td>0.012867</td>\n",
       "      <td>0.028719</td>\n",
       "      <td>0.359265</td>\n",
       "      <td>0.077849</td>\n",
       "      <td>-0.167777</td>\n",
       "      <td>0.332274</td>\n",
       "      <td>0.127039</td>\n",
       "      <td>0.030450</td>\n",
       "      <td>0.013223</td>\n",
       "      <td>...</td>\n",
       "      <td>1.040834e-17</td>\n",
       "      <td>-1.474515e-17</td>\n",
       "      <td>2.081668e-17</td>\n",
       "      <td>2.992398e-17</td>\n",
       "      <td>-2.602085e-17</td>\n",
       "      <td>1.040834e-17</td>\n",
       "      <td>2.038300e-17</td>\n",
       "      <td>-6.776264e-18</td>\n",
       "      <td>-2.059984e-17</td>\n",
       "      <td>-7.502679e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ipa</th>\n",
       "      <td>0.029442</td>\n",
       "      <td>0.026277</td>\n",
       "      <td>0.043501</td>\n",
       "      <td>0.398530</td>\n",
       "      <td>0.501636</td>\n",
       "      <td>-0.275974</td>\n",
       "      <td>-0.260474</td>\n",
       "      <td>-0.096444</td>\n",
       "      <td>0.054004</td>\n",
       "      <td>-0.064253</td>\n",
       "      <td>...</td>\n",
       "      <td>3.469447e-18</td>\n",
       "      <td>-1.214306e-17</td>\n",
       "      <td>-5.551115e-17</td>\n",
       "      <td>5.204170e-18</td>\n",
       "      <td>2.775558e-17</td>\n",
       "      <td>3.642919e-17</td>\n",
       "      <td>-2.602085e-17</td>\n",
       "      <td>1.067939e-17</td>\n",
       "      <td>2.255141e-17</td>\n",
       "      <td>-1.040834e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>super pils</th>\n",
       "      <td>0.051571</td>\n",
       "      <td>0.112338</td>\n",
       "      <td>0.920386</td>\n",
       "      <td>-0.125010</td>\n",
       "      <td>-0.086288</td>\n",
       "      <td>-0.164969</td>\n",
       "      <td>0.014051</td>\n",
       "      <td>-0.248554</td>\n",
       "      <td>-0.029477</td>\n",
       "      <td>-0.008745</td>\n",
       "      <td>...</td>\n",
       "      <td>-9.161508e-18</td>\n",
       "      <td>-2.005774e-18</td>\n",
       "      <td>2.211772e-17</td>\n",
       "      <td>-4.147073e-18</td>\n",
       "      <td>2.114194e-17</td>\n",
       "      <td>-7.264155e-18</td>\n",
       "      <td>-6.965999e-18</td>\n",
       "      <td>-1.812651e-19</td>\n",
       "      <td>3.361027e-18</td>\n",
       "      <td>1.078781e-17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>kombucha</th>\n",
       "      <td>0.095437</td>\n",
       "      <td>0.979984</td>\n",
       "      <td>-0.141245</td>\n",
       "      <td>-0.052920</td>\n",
       "      <td>-0.038326</td>\n",
       "      <td>-0.037408</td>\n",
       "      <td>0.015131</td>\n",
       "      <td>0.001015</td>\n",
       "      <td>0.008966</td>\n",
       "      <td>-0.008604</td>\n",
       "      <td>...</td>\n",
       "      <td>2.168404e-19</td>\n",
       "      <td>-1.301043e-18</td>\n",
       "      <td>1.561251e-17</td>\n",
       "      <td>-4.553649e-18</td>\n",
       "      <td>3.035766e-18</td>\n",
       "      <td>-8.673617e-19</td>\n",
       "      <td>-5.204170e-18</td>\n",
       "      <td>-1.138412e-18</td>\n",
       "      <td>-1.409463e-18</td>\n",
       "      <td>2.168404e-18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>single malt ipa</th>\n",
       "      <td>0.989931</td>\n",
       "      <td>-0.109343</td>\n",
       "      <td>-0.053671</td>\n",
       "      <td>-0.056410</td>\n",
       "      <td>-0.025619</td>\n",
       "      <td>-0.014978</td>\n",
       "      <td>0.006630</td>\n",
       "      <td>0.002117</td>\n",
       "      <td>0.002173</td>\n",
       "      <td>0.001035</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.995109e-18</td>\n",
       "      <td>9.486769e-19</td>\n",
       "      <td>2.059984e-18</td>\n",
       "      <td>-1.870249e-18</td>\n",
       "      <td>6.234162e-19</td>\n",
       "      <td>1.423015e-18</td>\n",
       "      <td>-8.944668e-19</td>\n",
       "      <td>7.098136e-19</td>\n",
       "      <td>6.945670e-19</td>\n",
       "      <td>1.423015e-18</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>998 rows × 998 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                     0         1         2         3    \\\n",
       "beverage                                                                 \n",
       "growler - 64 oz miir stainless -0.000100  0.000153 -0.000119  0.000235   \n",
       "montana bottle opener          -0.000060 -0.000089 -0.000055 -0.000070   \n",
       "$6 beer!                       -0.000051 -0.000090  0.000066 -0.000093   \n",
       "dissident 2014                 -0.000045 -0.000017 -0.000092  0.000091   \n",
       "$6 token                       -0.000040  0.000560 -0.000261 -0.000082   \n",
       "...                                  ...       ...       ...       ...   \n",
       "celebration                     0.028518  0.012867  0.028719  0.359265   \n",
       "ipa                             0.029442  0.026277  0.043501  0.398530   \n",
       "super pils                      0.051571  0.112338  0.920386 -0.125010   \n",
       "kombucha                        0.095437  0.979984 -0.141245 -0.052920   \n",
       "single malt ipa                 0.989931 -0.109343 -0.053671 -0.056410   \n",
       "\n",
       "                                     4         5         6         7    \\\n",
       "beverage                                                                 \n",
       "growler - 64 oz miir stainless  0.000456  0.001902  0.001389 -0.000630   \n",
       "montana bottle opener           0.000019  0.000438  0.000253 -0.000526   \n",
       "$6 beer!                       -0.000148 -0.000307 -0.000016 -0.000125   \n",
       "dissident 2014                  0.000094  0.000149 -0.000167 -0.000004   \n",
       "$6 token                       -0.001544 -0.000689 -0.000503  0.000996   \n",
       "...                                  ...       ...       ...       ...   \n",
       "celebration                     0.077849 -0.167777  0.332274  0.127039   \n",
       "ipa                             0.501636 -0.275974 -0.260474 -0.096444   \n",
       "super pils                     -0.086288 -0.164969  0.014051 -0.248554   \n",
       "kombucha                       -0.038326 -0.037408  0.015131  0.001015   \n",
       "single malt ipa                -0.025619 -0.014978  0.006630  0.002117   \n",
       "\n",
       "                                     8         9    ...           988  \\\n",
       "beverage                                            ...                 \n",
       "growler - 64 oz miir stainless -0.001259 -0.000802  ...  4.195862e-17   \n",
       "montana bottle opener           0.000778  0.000285  ... -2.097931e-17   \n",
       "$6 beer!                        0.000050 -0.000028  ...  7.449661e-17   \n",
       "dissident 2014                  0.000022 -0.000145  ... -6.938894e-18   \n",
       "$6 token                        0.000908 -0.000427  ... -3.260509e-18   \n",
       "...                                  ...       ...  ...           ...   \n",
       "celebration                     0.030450  0.013223  ...  1.040834e-17   \n",
       "ipa                             0.054004 -0.064253  ...  3.469447e-18   \n",
       "super pils                     -0.029477 -0.008745  ... -9.161508e-18   \n",
       "kombucha                        0.008966 -0.008604  ...  2.168404e-19   \n",
       "single malt ipa                 0.002173  0.001035  ... -2.995109e-18   \n",
       "\n",
       "                                         989           990           991  \\\n",
       "beverage                                                                   \n",
       "growler - 64 oz miir stainless -7.697835e-18  3.903128e-18 -6.586528e-17   \n",
       "montana bottle opener          -3.057450e-17 -1.166602e-16  4.613280e-17   \n",
       "$6 beer!                       -1.621647e-16 -3.945625e-16  7.041398e-17   \n",
       "dissident 2014                 -6.570265e-17 -4.336809e-17  7.058156e-17   \n",
       "$6 token                       -9.210751e-18 -4.933751e-17  8.861556e-17   \n",
       "...                                      ...           ...           ...   \n",
       "celebration                    -1.474515e-17  2.081668e-17  2.992398e-17   \n",
       "ipa                            -1.214306e-17 -5.551115e-17  5.204170e-18   \n",
       "super pils                     -2.005774e-18  2.211772e-17 -4.147073e-18   \n",
       "kombucha                       -1.301043e-18  1.561251e-17 -4.553649e-18   \n",
       "single malt ipa                 9.486769e-19  2.059984e-18 -1.870249e-18   \n",
       "\n",
       "                                         992           993           994  \\\n",
       "beverage                                                                   \n",
       "growler - 64 oz miir stainless  4.445229e-18  3.870602e-17  3.507394e-17   \n",
       "montana bottle opener           6.873842e-17 -8.998878e-18 -3.019503e-17   \n",
       "$6 beer!                        2.624402e-16 -3.813163e-17 -1.441307e-16   \n",
       "dissident 2014                  4.748806e-17 -4.878910e-17 -4.553649e-18   \n",
       "$6 token                        1.725959e-17  1.125820e-17  2.616329e-17   \n",
       "...                                      ...           ...           ...   \n",
       "celebration                    -2.602085e-17  1.040834e-17  2.038300e-17   \n",
       "ipa                             2.775558e-17  3.642919e-17 -2.602085e-17   \n",
       "super pils                      2.114194e-17 -7.264155e-18 -6.965999e-18   \n",
       "kombucha                        3.035766e-18 -8.673617e-19 -5.204170e-18   \n",
       "single malt ipa                 6.234162e-19  1.423015e-18 -8.944668e-19   \n",
       "\n",
       "                                         995           996           997  \n",
       "beverage                                                                  \n",
       "growler - 64 oz miir stainless  1.268855e-17 -4.526544e-17 -2.485533e-17  \n",
       "montana bottle opener           4.994784e-17  4.282599e-18  3.577867e-17  \n",
       "$6 beer!                        1.030507e-16 -8.631734e-18 -6.831464e-17  \n",
       "dissident 2014                 -6.105413e-18  8.131516e-18  4.542807e-17  \n",
       "$6 token                       -5.746940e-18  2.013234e-18  7.519424e-18  \n",
       "...                                      ...           ...           ...  \n",
       "celebration                    -6.776264e-18 -2.059984e-17 -7.502679e-17  \n",
       "ipa                             1.067939e-17  2.255141e-17 -1.040834e-17  \n",
       "super pils                     -1.812651e-19  3.361027e-18  1.078781e-17  \n",
       "kombucha                       -1.138412e-18 -1.409463e-18  2.168404e-18  \n",
       "single malt ipa                 7.098136e-19  6.945670e-19  1.423015e-18  \n",
       "\n",
       "[998 rows x 998 columns]"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Set a variable named \"loadings\". Get the components.\n",
    "loadings = pd.DataFrame(pca.components_, columns=beverage.columns[::])\n",
    "# Use transpose to switch rows and columns.\n",
    "loadings.transpose().sort_values(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-56-4b3b67427aab>:3: FutureWarning: In a future version of pandas all arguments of Series.sort_values will be keyword-only.\n",
      "  pc_loading = loadings.loc[0, :].sort_values(0).tail(n=15)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Present the top 15 loadings for the first component. Load the dataframe just made. \n",
    "# Select the first column from all the components; sort_values(0). 0 is columnwise\n",
    "pc_loading = loadings.loc[0, :].sort_values(0).tail(n=15)\n",
    "pc_loading.plot.bar()\n",
    "plt.ylabel(\"PC1 Loading\")\n",
    "plt.tight_layout()\n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "# A function that takes all loadings whose absolute value is above the cutoff 0.05.\n",
    "def show_component(component,num=15, cutoff = 0.05) : \n",
    "    pc_loading = loadings.transpose().iloc[:,component-1]\n",
    "    pc_loading = pc_loading.loc[pc_loading.abs() > cutoff].sort_values()\n",
    "    max_pc = max(pc_loading.abs())\n",
    "    colors = ['C0' if l > 0 else 'C1' for l in pc_loading]\n",
    "\n",
    "    pc_loading.plot.bar(color = colors)\n",
    "    ax = plt.gca()\n",
    "    plt.axhline(y=0,c=\"#888888\")\n",
    "    ax.set_ylim(-max_pc, max_pc)\n",
    "    plt.tight_layout()\n",
    "    plt.xticks(rotation=45, ha='right')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The first component\n",
    "show_component(0,0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The second component\n",
    "show_component(1,0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The third component\n",
    "show_component(2,0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The fourth component\n",
    "show_component(3,0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-67-bb9a145edc8a>:16: UserWarning: Tight layout not applied. The bottom and top margins cannot be made large enough to accommodate all axes decorations. \n",
      "  plt.tight_layout()\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAHvCAYAAAC2UrMzAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAACFIUlEQVR4nO2ddbhdxdWH3xUPgQRIQggkJDgECRIIFhIIBJIAwd29xa24tTiluFux4u5aaClOKe6lTl2/KjLfH7+12XPPPefm5tq5N3e9z3Oec/Y+W2bPnpm1Zs2aNZZSIgiCIOje9Kh3AoIgCIL6E8IgCIIgCGEQBEEQhDAIgiAICGEQBEEQAL3qnYCWMmTIkDR69Oh6JyMIgqDuvPnrv9X8b7kFB331+9VXX/1jSmloteO6rDAYPXo0r7zySr2TEQRBUHdGH/Vgzf9eOWP6V7/N7Oe1jgszURAEQRDCIAiCIAhhEARBEBDCIAiCICCEQRAEQUAIgyAIgoAQBkEQBAEhDIIgCAJCGARBEASEMAiCIAgIYRAEQRAQwiAIgiAghEEQBEFACIMgCIKAEAZBEAQBIQyCIAgCQhgEQRAEhDAIgiAICGEQBEEQEMIgCIIgIIRBEARBQAiDIAiCgBAGQRAEASEMgiAIAkIYBEEQBIQwCIIgCAhhEARBEBDCIAiCIKADhIGZbWhm75vZR2Z2VBPHrWJmX5jZlu2dpiAIgqAh7SoMzKwncDEwFRgDbGdmY2ocdybwaHumJwiCIKhOe/cMVgU+Sin9NKX0P+AWYEaV4w4A7gR+387pCYIgCKrQq52vvyDwy2z7V8D4/AAzWxDYDFgXWKWpi5nZ3sDeAAsttFCbJjQIgqDejD7qwZr//eyM6e167/buGViVfali+zzgyJTSFzO7WErpipTSuJTSuKFDh7ZF+oIgCALav2fwK2Bktj0C+E3FMeOAW8wMYAgwzcw+Tynd085pC4IgCJz2FgYvA4ub2cLAr4Ftge3zA1JKCxe/zey7wAMhCIIgCDqWdhUGKaXPzWx/5CXUE7gmpfS2me3r/1/WnvcPgiAImkd79wxIKT0EPFSxr6oQSCnt2t7pCYIgCBoTM5CDIAiCEAZBEARBB5iJgiAIuhv1nC/QUqJnEARBEETPIAiCoBZdUcNvKdEzCIIgCEIYBEEQBCEMgiAIAkIYBEEQBIQwCIIgCAhhEARBEBDCIAiCICCEQRAEQUAIgyAIgoAQBkEQBAEhDIIgCAJCGARBEASEMAiCIAgIYRAEQRAQwiAIgiAghEEQBEFACIMgCIKAEAZBEAQBIQyCIAgCQhgEQRAEhDAIgiAICGEQBEEQEMIgCIIgIIRBEARBQAcIAzPb0MzeN7OPzOyoKv/vYGZv+Oc5Mxvb3mkKgiAIGtKuwsDMegIXA1OBMcB2Zjam4rBPgIkppeWBbwFXtGeagiAIgsa0d89gVeCjlNJPU0r/A24BZuQHpJSeSyn9xTdfAEa0c5qCIAiCCnq18/UXBH6Zbf8KGN/E8XsAD9f608z2BvYGWGihhdoifUEQdANGH/Vgzf9+dsb0DkxJ56W9ewZWZV+qeqDZOkgYHFnrYimlK1JK41JK44YOHdpGSQyCIAjau2fwK2Bktj0C+E3lQWa2PHAVMDWl9Kd2TlMQBEFQQXv3DF4GFjezhc2sD7AtcF9+gJktBNwF7JRS+qCd0xMEQRBUoV17Bimlz81sf+BRoCdwTUrpbTPb1/+/DDgBGAxcYmYAn6eUxrVnuoIgCIKGtLeZiJTSQ8BDFfsuy37vCezZ3ukIgqDrEwPB7UfMQA6CIAhCGARBEAQhDIIgCAJCGARBEASEMAiCIAgIYRAEQRAQwiAIgiAghEEQBEFACIMgCIKAEAZBEAQBIQyCIAgCOiA2URAEQSURY6jzET2DIAiCIHoGQRC0nNDwZx9CGARBEI16EMIgCDojLW2co1EPWkqMGQRBEAQhDIIgCIIwEwVBuxJmm6CrEMIg6Ha0tT0+GvVgdiDMREEQBEH0DIL6E54zQVB/Qhh0IB3d6HWV84IgqD9hJgqCIAhCGARBEAQhDIIgCAJCGARBEASEMAiCIAgIYRAEQRDQAcLAzDY0s/fN7CMzO6rK/2ZmF/j/b5jZSu2dpiAIgqAh7SoMzKwncDEwFRgDbGdmYyoOmwos7p+9gUvbM01BEARBYyyl1H4XN1sdOCmltIFvHw2QUjo9O+Zy4OmU0s2+/T4wKaX0aVPXXmSRRdIpp5zSbmlvD1746Z9q/rfaIoPjvC56XldIY5wX5wHssMMOr6aUxlU7rr2FwZbAhimlPX17J2B8Smn/7JgHgDNSSs/69pPAkSmlV6pcb2/Ue2DEiBErn3nmmfrjZ8/WTsTotWr/19HnBUEQ1JGmhEF7h6OwKvsqpU9zjtHOlK4ArgAYN25c2n777fXHSV+rnYLtL6n9X0efFwRBUEd22GGHmv+19wDyr4CR2fYI4DctOCYIgiBoR9pbGLwMLG5mC5tZH2Bb4L6KY+4DdnavotWAv81svCAIgiBoW9rVTJRS+tzM9gceBXoC16SU3jazff3/y4CHgGnAR8C/gN3aM01BEARBY9o9hHVK6SHU4Of7Lst+J2C/9k5HEARBUJuYgRwEQRCEMAiCIAhCGARBEASEMAiCIAiINZBbxkl/q3cKgiAI2pTuLQyiUQ+CIADCTBQEQRAQwiAIgiAghEEQBEFACIMgCIKAEAZBEAQBIQyCIAgCQhgEQRAEhDAIgiAICGEQBEEQEMIgCIIgIIRBEARBQAiDIAiCgNklUF0EnAuCIGgV0TMIgiAIQhgEQRAEIQyCIAgCQhgEQRAEhDAIgiAICGEQBEEQEMIgCIIgIIRBEARBQAiDIAiCgBAGQRAEAe0oDMxsXjN73Mw+9O95qhwz0sy+b2bvmtnbZnZQe6UnCIIgqE179gyOAp5MKS0OPOnblXwOHJZSWhpYDdjPzMa0Y5qCIAiCKrSnMJgBXOe/rwM2rTwgpfRpSunH/vsfwLvAgu2YpiAIgqAK7SkMhqWUPgU1+sB8TR1sZqOBFYEXmzhmbzN7xcxe+cMf/tCWaQ2CIOjWtCqEtZk9Acxf5a9jZ/E6cwJ3AgenlP5e67iU0hXAFQDjxo1Ls3KPIAiCoDatEgYppfVq/WdmvzOz4SmlT81sOPD7Gsf1RoLgppTSXa1JTxAEQdAy2tNMdB+wi//eBbi38gAzM+Bq4N2U0nfaMS1BEARBE7SnMDgDWN/MPgTW923MbAEze8iPWRPYCVjXzH7in2ntmKYgCIKgCu227GVK6U/A5Cr7fwNM89/PAtZeaQiCIAiaR8xADoIgCEIYBEEQBCEMgiAIAkIYBEEQBIQwCIIgCAhhEARBEBDCIAiCICCEQRAEQUAIgyAIgoAQBkEQBAEhDIIgCAJCGARBEASEMAiCIAgIYRAEQRAQwiAIgiAghEEQBEFACIMgCIKAEAZBEAQBIQyCIAgCQhgEQRAEhDAIgiAICGEQBEEQEMIgCIIgIIRBEARBQAiDIAiCgBAGQRAEASEMgiAIAkIYBEEQBIQwCIIgCGhHYWBm85rZ42b2oX/P08SxPc3sNTN7oL3SEwRBENSmPXsGRwFPppQWB5707VocBLzbjmkJgiAImqA9hcEM4Dr/fR2wabWDzGwEMB24qh3TEgRBEDRBewqDYSmlTwH8e74ax50HfAP4cmYXNLO9zewVM3vlD3/4Q5slNAiCoLvTqzUnm9kTwPxV/jq2medvBPw+pfSqmU2a2fEppSuAKwDGjRuXmp/SIAiCoClaJQxSSuvV+s/Mfmdmw1NKn5rZcOD3VQ5bE9jEzKYB/YCBZnZjSmnH1qQrCIIgmDXa00x0H7CL/94FuLfygJTS0SmlESml0cC2wFMhCIIgCDqe9hQGZwDrm9mHwPq+jZktYGYPteN9gyAIglmkVWaipkgp/QmYXGX/b4BpVfY/DTzdXukJgiAIahMzkIMgCIIQBkEQBEEIgyAIgoAQBkEQBAEhDIIgCAJCGARBEASEMAiCIAgIYRAEQRAQwiAIgiAghEEQBEFACIMgCIKAEAZBEAQBIQyCIAgCQhgEQRAEhDAIgiAICGEQBEEQEMIgCIIgIIRBEARBQAiDIAiCgBAGQRAEASEMgiAIAkIYBEEQBIQwCIIgCAhhEARBEBDCIAiCICCEQRAEQUAIgyAIggCwlFK909AizOwPwM9r/D0E+GMLLtuS8zryXnFenBfndZ/z2uNeo1JKQ6v+k1Ka7T7AKx11XkfeK86L8+K87nNeR6cxzERBEARBCIMgCIJg9hUGV3TgeR15rzgvzovzus95HZrGLjuAHARBELQds2vPIAiCIJgFQhgEQRAEIQyC2Rczs6a2gyAo6VLCoKjMZjaoLa7TmTCzur6LjswTM1uivZ/XzOYAFvXf481sUGrhAFlz0pqVzZ4tuceskt2vRfloZsuY2W4tOG91M1t7Fo5vk3JV7/rR3rQ0n9qy3naZDDYzSyklM5sCnGVm8zUnI7JKM9LMhgP4dZp89tZkcn5ucyqtmfUB9jCz/ma2gpkdN6v3MrNBZjZXtTTM5Lx5QXnSgnsuZWYLNfc8P2dl4DZgwVm816pmtoOZLez5NTMWBI40s9P8fqNn8X5Lm9mSLkS+bKqRz8rmZOBkM9vSzOabhXutbGZbmNkCZtarOef5/dYDjjKzPcys+qzSKud6WRwHLN6cc7JzFwFOAH7b3Ht5OtfxPNm6uef596JmtjRASunLWThvVTPbzMwWb2ZZyc8dYmbDZuWcllBxv17NqX8Vz7e1mS0PtJ0S15KZah35AXpkv9cHPgTW8u2ezbzGdOB14DLgrmrXrjjest9rIw1zVDPvVXhobQycC1wKDJtZeoEdgf8B7wFLtOBeTwM3A9+o9hw1zt8YuBO4CNgBGDQL95wB/BAYNwvvckXgB8AGvt1rFt7fO8CpwEvAzsCQZpx3MPBf4Nha77fGedOAd/1+bwDzNeP9beBp3Bz4CDgbWKGZz/Y28B3Pz62BuZtx3mRP47rAH4Djm1MfgN7+vSTwFjCtme9grNeh4327at2pct5Gnoc7Aj8GTpmF894GrgeeBAY387yNPZ3fAe4B9gAGNPPcGcAzwAPA+cBcM6sH/ntn4Bxgjea8u4r7PejPuDEwbxPH9vTvSV6+LvN8/Roworn3bDI9bXGR9voAw4Gtssp4HrAtkobboobs4JlcY03gTWBhYDfgC+DZ7P+ahRo4AHgRaUN3AmObme7pwCtegZ5ADfyC+UutLFRAP+Bl4M94owz0qVb4Ks5fD3gNWAQ4DvgSOL0Z540DfgIsANzrzzdHE8/UL0vrWL/nor49BFiyGfkyBvgNcH1z8t//Xxx4FBgJTAF+Adzk73KeKsdbdt5kYG/gYWCL4vkq30HF+St6JVvEy97fkCY8vNb7A4YC3wOWQo3z28B1wAXAsk3cayngcdSLmQr8CrgB2I6mG6IeSNFYA1gFeDUrX43yM8uThYEzgaV8e3MkRHrN7D348Tf4veachfr7iOflNsDzSJifN5PzxqMGfSSwJfAf4DFcqWrivCVQ4zq/v++Pgcu9DNQs237uSkgYDwYO8/vP9DmR8P4REgZ3I+HTZDr9vEmel8OBW/333lQIvbyMe3m5BZjo25OBq4Atm/M+ZpqmtrhIe32ADVFDtT3QB0nSPwEPIa1tz6LQNHGNZYHlkeb2PDDQM/7Zmdx7A6Ql9PFK/TzwFLDSTM7rA3wbWA7YFAmDK1AjuECNc/IXfiDwe2Bp316sqYqKNIqxSJN6BlgV+Csz0cC8EO/jhfIFYLTvb5SXXkHOwxsoYDXgPr/3saixfRdYr+K8ohFatHgOL9AvACdmxzX1fIa02PH+3uYFDkJCYQ8ygZmdMwM1Hiv69jao57Shv5PrqdErAYYBy6BG/RXfd4OXu2GVz5ZtD/FnfA7oixrAPwLfpEaPy48bgxr1V4H5kED/CGmbvfy4OXCh4vk3FNgVuB01rqP8v52AbWq8gzWBQ4DDkaJysL/TmymVD6tx3jbAqr59vb/7ftXyocrzLQKsjOrp3MBE4O/AhU2cNz+wAhL+L/h5DyEFZHgT5w32d7cG6oUs5vn5Ey8zTSkBq3p52gXV9YV9/3JNnDMRKXBF/m+N6vrutdKJl3Wk0a+K6u2LwH7+rAdRKh5zoLZkpG8fgBSNU7L3s72Xuf5N1ffmfNqtIW9VolQhN/XfWyKtayfUMKwCLOL/jUZSuVElBQbgkh01QhcAe/r2wahxHlflvOJ7BaSx7YmEwGDgRi9kK1arcNn2nMAof8kL+b6fAp8gYTEMmO77p/r176UUAIehxmcnrwDLVElnz6xgDUCa/VTfvhiZRxatfK7sOuOAZ5EWPML3bQZcWa1geV4vjBrlQZSVbDu/z4HAVlXO29QL602ooiyFGsDvA2dUOb5I7zJI6Azx7Y2B72UV98EivyrOX9nTtaRvz416NRNRw/cCsHWV+w3Be6C+fRRwlP/eDjXWEyvutToSqOOAefydv+r/LQLcT9aYZPdaCpWvQVkjcpX/XsufbansvEVRT+BiJNQWQlr9S8AmfszyyOwzpcr91gV+Bhzn22sggXk/8H/IpFWtR7EJauwO97Kyve+/BZXZfjXe3Vh/vkWy+5/lvycjRW7tKucNpmFd/hZwpP/ewZ+vUeOMytOSwPzZ+/q2/94A77XVSOsqSEFcGZmjfkTZy5rizz0/ansaCEt/lo+B87P9W6JytjOZ8MnuN0e2rzcazyry6W4/t2j8+1CWq918315eDrbx7eVQ76tmT7K5n7o3/FUTpRe4lL8kQ9KzEAhz+zGbIhvtZjUK8feRhN8bNZZHAacjqX1PlcJRNKwjKvafDazhv7+JbImjqtxzMpLu+2YF+0pUSVf3gr06Ekw7owq1vxfA1ZAGcDswwc/fHbgG2LDG892ABMhKXqjORNrGJn7fMVXOWxtpPuv49uXAacA6qIF4A9i44py8QB/p+TrOt/v693h/FxPy/ESN2PeRhnMYruX5/8v69uI0FsTroYr/NOoG7w2MQBrtDZ7OdWuUnXWRYFzb0/uoX2tRJBiG5ffy3xsjAfIiUhqGoUb+ck/3M0V+ZuVkgqfjBlSBz/N7fAcJv3fyd5c92/qenh8gu+9OSNC+hYTl69n7WRJY33+fgDfc2TWPB77rz/giMKNKfkxDCsUVwKUV/w3w8nApFQqA/3ez59m2/q5GZP/fQUNlqsiXdVCv7SqkcG2AhMMPUf37ObB6jXfwvD//Nzwvd0A9kSNQT2/lKvm5LuqVPoCUtR2QsPw3Mt28V+RnlbyZ6u+pSM/JqCc/3d/LW8BGVdI6irI3MAEpOsdk/29KlZ6B58VtSBhujOrITahNWRk16qvUOO8pYGff3h/VjTuQmXGjNml32+Ii7fHxQngpsJ9vb+QZtz2S1NMpNeH8RS3lmToONdCPIvvyWNSYP4L3OrLCNNZ/H+qF40LKRv1CVCmKxmx4dm4xqLMa8D7Sjt9AAmQMaliuQZUi19hGoC7pjcC12f6jvbAUjUHfKs+3LNJeJgMn+vNMRDbSi/z+m1SpNBNQJT0VmZG28jw+FHXBb6PUMisb59UoB+2PQZrrqqjBWAF1XTdG9s+nsnsvA5yFGvPnKMcYCmHSaGAPCbf7kZDohYTbhajiLomE+sQq541FQmk+z/83kNBdGpmyNqrME/+9BHAXEtrzIfvtiahXeABwtadhYMU7eBqvuKgiH4e6+HMhYbZylTSujAT4Yn7cFsAl/i6XR43ROtnxqyAzXm/UOH4DKQz7ZseMQeVpsSrPNgyNXayOenP5WE3+PM8Bk/L8QSae6zwvf5Bdf3rxHn17jop3cF5WVrZEmvMyXk62ASZXyZdlUBlc2t//Jai+rehl53aqNHhIgbnez58HCdp7Pd9W8PdeSxCMRIJn9Yr9hwNn+HufQuMewRGeH+8gRWpNpHjcDHyzyn0KU994pPhtg+rghahRX57S3LdJxbkDsvPXR/ViF9/eGyl9e7VZm9tWF2qTxDQ2ZWyNukR7+kuZjiruV10wJBi29t8L+//3ZNcYhxrBwubZoIFFJqP/IW+Hi/347Tyj90DmmGOQ9F7ezxlKaYJaHmmQhdSeGzUoJ3uaR+Jd2+yexblfR93wrbL0noy6i/P49nDKnskYL3QXZsfviQbIB/n24CqNwrJe+ArT1JpoYLTIt95441DlHUxDHly51n8YshuvhnpAi2eNyKPAS77dA/Xo3qLUrKcgDX+h7Pnu8HN7oQr8X2B8lp9n4F4stcoMsqPelb3nwqa9CtIcC+1vPtSD6oXKzj2ochcmhnk8vTtn95jDjyl6FRujgf4zsmO2BW6vSNuCeAOMuvzfAv5JaQ4cgsw/hzXxXHMB/8re1aae99sjgXksVcwR2XZR3kcBP/LfayPNfV7f/1NKG/lYXHFBvaNfUHp/TURKz8pZ+g/y6/RAvaQPkAmq8Fo6ALi1Ik3DgQOz+nst6tkUaR2DemqFslf0OhbCG1y/34VocLkwcw7y/DgsP69GuVkCeCTbruwZ9fHvPG/HI8HZCzlenAWchCwY66FeWlH/FqMcYxuJFLgi7XOhenUlZblbwPOiELobox7pDbj1A/UQ7gb28e0DUY9v9uwZeKYeTGkjm4Ia291Rg7EJ7rJHabdbkrIxPAR1nTakbHRPA7aouE/usrqXF6rTfHteJHiuKQptRcNwCKWdbwaS6pdmL3YIauSrjWWMQRWq6P7v44Vii+zYQoPuiTT4pZCmNsiPfZisO4lMTqs3kaf7owb4aMpGf03kebRPE+ct5OcVg5fjvJD2QhrUQ56mkcBF2Xm3UQ6+zvB8PBP10N6pLLz+fItTNuAXoN5HYfff1p+xP2XDUHwPza5zMhI+qyGtamVkJsh7BeNQRR3qz7GxP8f2lI39fsD+FWmcG2mg22TP9RhlD3JlZAoZVnHectn77IcavrspG7DdkAbel1LBqeyZTUdjSFv59kbIbPBzqpuiNvL8Pie75ryoJ7qRv9Op2XlFA7YG6vH8HTVWi6HeyGvIxPNuRV4OQyau4f78/ZCQuZDSjDLV311e35ZCvYD5srx8EAnpuX3fcajcVmrmK1La1HsiBeDJrDx83Z+zV8U9i7zpn+17FDgg257i6e/l116Ghorl6siMVDTyw1EPdPMq117T89MoBdfPyDwS/VoTs+0z/XkmoTK5Ceo9fkhZ7qb7f4P9nX6dZngvNavtbYuLtDoRDQee3kT20buRNDV/SdcCe1c5tweSzFdRVswjUKN5Aupe/YwqA1b+u9DS9kEa6TK+PRcaUL2QCv9f1DAMR1pBHyR4bkI9ivlRg/96VtiLgjoVCY3H/Tk39P17+flbV3m+Pv7Sr0Wmnrn8GqehBqzo+axQ5dxlijzze1zt+TEgK7BTKs+ruMb5qCt+HhJC9wIn+3+FFtMPDaxfmp13J/Cc/14J2bdPxj2O/L3mlfVa5FrZD1XGb/l7O4LMLooan8KMNgoJms2y65yCGuU1kPmkeL/5Ox+ABM5pfq8tPP8v8Xf4Aa4NV+TFZCRAi0Z5E0/jfah3My07Nn+2e4B3/PecaHzoA1SRn8J7bBX3WhP1wIpe5STUSBf3nofq40LTkFa9HBKED1MqKQ8Cv6PsIeZpnODvcDxq+H+AFLM+aBxgfUqzWJ6XvVA9uww11P2RQH7c38VTZGbZ7Lx+nudn+/YWqFxf6/n6HplJqSKtT+GNtN//RuSBtTsym25ceT8/dkOkaZ+I6tF0ZA34LhJIb9JYUZkPaeRz+72uRgJ1Xv//JHxgvcr95kK9rqKXf7y/j3WQg8HbVNRbNOb0BD4A7vvWRwrkjr49JPuvyTkzs9QOt9WFWp0QdV1vJPOZ9Rd3h//ensyrpuLcAagSXwrs6vuKOQLnUzZAPSrOK8wdhZZ2CNLAVsheZtUJK2is4XKkwRQNyqP+ud0LzJzZ8SNQA7Aa0qi29MI3GQm0r+FmqCr3GoFs+1egyjoPGh94xZ+56Nb3oBSsa3nBfQ3YyfcV3crp+XPRWBNdGFXsgagROtuft78/5wXZuYU5YBzSVG/K/rsL+GG23eSkKE/b25Q9hAtRV7noJvf0+/8KVahe/g4vp6HG+hrStudu4l5TkOZ8vF93OhrsPi8rL3mjlw+Q/p2GZpu7ySa2UaWCot7SC/67L2qAfoALEDJXVyTIPkbC6UNKz7q1kTDatcYz9fV3vqI/zw+QUH4JmawOovRRrzQnHUJD8+O+wK+pIqiq3HcUMqV+x+/dz9NxLzV6rJ7nq6LGv1Auih7P1ZRlulGZQYrEw8CNWbm/HfU6CzNh74pzxqMxv+29TH0LjSssgerSydm7yMdBeqFy+HNU/jdFiuZVqKf9U9xMWuM5Z6Ae1SDfPgeZGHOTZqX5+DTPhyVpqEj+giZca1v7qbsQyDJtKo3tsAOR9jDTmarIfLMFalAK+/2hSPJPpMIf3SvLCzTW+vfzClfTvzg7diJqPE7wQrOBF8pdUYN9BG7GQOaUeysqwzleUNZqxr0W9LRd7QV7gD/bt3ANPTt2bSR4NvF7XEHZQ/gGqoBVZ/B6Yf8xcqm7Cploiga/0B4LLb0oqBuhwa3DUQNya3a9B4E38+Or3DO3y16NelX9kVZa9AwWyyrN15FdfxxqCA5AAmEzZG66BR9zqHKvXMNcx9/fsX6vTVFPY2uqzA3InnddpDQUmtpU1MDsXOWcvJG/E5/fgsr28cgLZoHs2Yb49Qs7/c5k2jUSzlOqPY9vz4kGm5+nNAn+HvXu+lXLk+wZrqChg8Q9nvdLZPsaCMgs3SP9ec5GjXyh+V+C90yqvXfUa7wen3eCXGbPQQOkjSZ9UQ6omqftOt8u5gM9TeO6PhoJ7G/49lC/5xlUzKvxdB+LemZbAWf6/kuR8tYPCZD9UM+nOZMti3G3Qb59GOpJjvbnKDwmb6GcY3Cx598SlOVuprPuW/PpkIa+GZlVFKgNkC/+FqixWwufvesZ1o/Sjjy6spAhgbCZv+g9fF9hO52j4tgdgHOzAtCT0r66W1MvmYaN1zp+/dPQQOwOqBJt5ukeQWlTfISG3kPbeiG7m6xBqLhX3niNQD2I7yHtcQH/fTTSCouC9TVcU0WNzlao67lDUXFrPNdQP64wreyBTBrjUWP8PdRgLkA5ANzfn3eXrJK+BNyWXXfFWnmZnZPn6fdQt9jQuMWhlL23DZEm930kECb4cbuiBvlNqptdls5+5/eahEwcJ/n2/qgBm6viuKIRKirmFDSwO5TS5FDMY1mehnMZ8us8TDmesihqeBbMnu1nqCF/qKKsvkTDcaU5KAdcJyCNt3BLnh9pnisi7fcKMoWDhr3HyUh56IcUmaNQ2RqPeuZXIgGZC4F1cdfeiv0jUAN5vr+Tef0ahZa/OBUzslG9W9Hvfarv2wc11HNXqws0FAjPATf79gC/d2UDvwxSbH5IaXab1+95Ho0Hj8chhfAjGkYBuAwpKoMq62Yz2rgN0Uz2QX7vk1Bj39ff3ztUeKCh3so9NEPgtMWn3kKgsGV+NUhEaYe9BzWyG2fHL426s4XrYKMZvV4gtqJ0FzUa2tgmZpX59orCvC0V8xaydA0g63rSUONbD2klC6Ou3fOUDcOBSBNf1wvCw8g0tRtquKagCjcku9coLyRFZc8bk5FIEx6bbVcKxU2QBl806j2RwLmC0t5ebZLRfKi3VNiG+9OwGz8v6gEVft+jff8ZuKDJ3tMX+BhC9lyFsJ2ANKEGNvaK51w++90zy5ePkKltJNKa36T0FBqID+zn788/L+CTyPI0+e91kcdVMcFnEGrcL6LhhKJKgTA4/8/z5R1UNhevSEf+bCtXuebSqLGZgDTr7wLnZMftAqyWvYdvI0E2GfglUnr+Sjkx7FTk1fYzGo7TFHk5HQnTvTwPt/LnPgd5rP0YCZIZyOMpz6+dUE9wYP6MWXlcLNteGJmnivkhC1U5pycagF4x2zfIv9dEwmGFinNygTC+4r+ivBVzfAYjQXUCEhbFuOBgsnYiS8tAVF/+gTt6ZNe+CgmEBmNezWzvplO2P/P5e+yLegpn+Pa+qO271o+7qPLZ2+tTDwFQZPoaSKrPW+W/KV6IC4+iBSkHh89GA70nVZ6XbReVtTKOzNye0ef59i1I69nSC9yHZJU4S890pNVfmt+34tqFm97P0djHhah72AuZNS5C2kEv1J0+3gvrmkjrKwRjoR1egzSDeSqfhVJI5N308UhIrIcatv1QV3MsElAPIaFzeJXnG0Q5qHwcsv8WPbBNkS04v/88SAO8BVWozZEAXML/Xw4Jx6Lg5+MT01CDuR0yteyd/feVQKDCi8T3zY+PIWUV9yLPr8pKW3nuWv4cA7PykTdwfVGP4Ch/Bz9BysG9wIvZcbkS0KMiH1dGdt2XsmNyBaJRrCl/5sHIWeIR1NPoiRriq4BLapS30z29F1I6IqyLxjMKM94ilCE55qf0GloEjScsjHoUryCz4l5ZmualVCqWr7j3gp62EXk+1EhnTyQkv6Shg0FzTIYTkU3+Qi8rlRMi83dh+XWR2etdZEb9PWUv6ThUD5atPNd/D6Usg2shF+xi0L6YPzG01vM255OldT1k3hzn7/8Vz6sNUBsyujX3meV0deTNssxYDZ8lWlkwaNgA/9W/10D2wa8jG9rJXhm2o/QHrmkPzQsgcmv7HqXP79FI87mJ0hc+LxwT/CWNQZPWXqOhC1neeG2FzEVjkXvsVahh6Yka6gvITBj+XG9Szl9YGWkIE1HFPhN1YxsJhIrnmoYq87lIq7sAmXj2R1rMC0gg7IAakF5ZPs9ApqEXPN2r+DM8ikwYn1A2NsU5k/06ryGNbwAyTT2BNNoPKQXBMmj8odDOnvN3uDHSFP9JJqBmVomQ0Mm19Z08n9eucvxqqOEa6J9H8EG7GtdfG/WELgeOyPbfhfvoN1Gxl0Nmn+WRwvIYpXZbrQdbKawKt85dKbXelZHJMzdx5XXlaGQa+wbl4GPh8bRTdlzh8XMfZXiPJSgDws2Fxkn+BRzt//dGZXFsVg/OpLRpnwLc0tS78u8F/fr7ebk6mtJBoFHPIjt/CS9bRa9mK09rLU+hQdnvEagHPhr1nt6lrENLe9obOaOgMa97kKtqUebXQ7OZL/Dr1IyDNisf1GO5nHIO0UBKhXAF5EjRIeahr9LUkTfLMmJzL7DF7OLKQbCiIE1Ftuo+XhjvwP2/0QDTRcjcMBGZY/rWuN+O2cvt4de8g4YeIIW2PR9qYApf4g3RuEAx4DyqKFRV7jMPsgv+FWn8X4WUQALhMKStz5893w7+3wAUivhp/68nqqxnIPNB1fC2lBEsi3kLSyMhcIxvL4Aq42Rkh8/jHC2HbO8rIbv8y8hEMQwJiYPJJpv5Ocsj7Xc1P+ZUJIAGIPv+qpQzjAtPjP08HcuhxmEc8JofM83Lwv5Vnq2BC6N/D6WMdbQz7kZZHJ+Vnfk83+5EDepqSJm4i8bjR3kDuyRSFm4iq4xIkLxa4x0Unh6FFt6PcjCzmBU7svK5ULk618vFGM/bZ2gYpK5RzJmK9B6BeqyTcSUFNWAbVJyzGGqMb6TsIWxOOVYyDZmIJtV4xpHI7HQ+GuQfi3qGo/JnqpIvH/i9e6G6ejEy9U6iShA/Sr/8/VCP+VRKhW8L1FPYtOKcOVGvLzc7H4F6uC9RzvPYAo21NAqyhysz/vspZELbzrdXQaFNmhVavplt4OnA55Sm3B5IAK/redYmE8lmKU0dcpOy8C9A2chu6Q9dbbCvgauj/+6NGv17gK/7vr2QdP0tDV0LK4XLXsgdsdAyeqKZux9RDlrlYxbXoYZ8gG//CjVARdono4Zm7spKiswxv/Dnm9PvcyXShHuSxTVCAm4lyok2KyBBUgg8Q0LlOzTUDou0FpXkGuCy7P/1kWZUFPp5UEUfkx0zGmnU+UDvvsgdt1HIgOyY8cAN2faiyCPmTiq6tf68RyH768uUjfY03I0RaeNXkjVe2fNVmvmKXtgANPvzRKqEmUCN0C+RYByIGqGn0ZjJz8nCPWfnbICUC0PC6nrUaOVmw2ohJpZEGuOKWX4sjgTwN9GgZbVQCkX8pUNQD+x1pC2u6Hm1S3Zsr+xdF55duUA4HjWyG9Kw11rZ+1gYafc3oTGqtVHDdzyqC4UQz4XqKqicFnk2yJ/rfmSuPbJGOVkZ9RCL2cpzIqVuAyQof1nj3c1LaerZHikT21EKx61prKD08+cZSTk79zp/phFZet7Bow7TsG3p4dddGAnme1H9/xXqYfegirBrYRs4KHunF6OeblH/+/v7X7M192pxGjvsRrI9P4Yq2VFIc9sS2SQ3bSLzVvNKUgxqFgKhGEOYi9JWXVn4V6bs1k5DWkWhQW+HRvSL2YzDKP3xN/cXtatvn4Uq62AkHN6mCf9rNHbwIR5HHWkd11HFNQw1Vj+kHHBeEbnY5gJhUJXzVkXmsjmQKeZS4Gv+3zLIrDZ/dnyfigowEDVEj9DQS+UAZLqal4aNQlFBh/uz5WaIU5HG2Si8N7K7fop6Yj39mpOQlvkd1Fup1gitj0xOB9IwllRVv/Ps94bILPUIPubk+xdA2uxTZHMh/L8pSDGZmO1bwu9/DE1ohMgkcTbqRZ2KGvKHKOM8NQoP4tsHF+/ctzdCprneqBdaDBb3QYJjOVRfTqRiINt/n4KEXaNFYCrypxAI3/VrT0ZaeLWZzMWYwZlonkTuJDA/ErrPUTFo7/+vS2kyPQKZBO/GTWaUzgf5Oy963/f7s/RHytT5aAC92hhB8b2Ev8cnkeI12K/1HdT7eoMqJiZ/9iIa7oL+7op1L55AgrNZ6zc0ow0s3Ee/jXrVg5CS9jhNLGzTUZ+OuYkK8ov+8BfTcEr3NkizGlqlwkxHDW9h+97C90/winNkxfHjKN1Fd0ea1z2oIV4UaSWve0X4mIYBtzZE5oHCJXVLpP3v4pXmLKT9PkCVAHlVnnkFpInshxrsPOJjted8inJ+xFjgM+CgGtdeFzWu/0Va9SKU4REeJovmWuVe6yAzxJa+fZBXlnwW78j8XD/nRL9HX1TpHkJd5wmo8R1T7fm8gq2KhMX5lPMuNvB31GgGNGr8Xvdj7vL31ZyFfpZF2txaSNifX+WYnvg4h2/38vdcDLpuhQTVdNRw3oTH7anIk0F+bi9ks/8eZQU/njJcdKNerm+fADyQbQ/yPKo2vrCt5/HHZGEk/L9cICxWLV+qvJNCINxKQ4+ouSlDciyNTIjDkFLzlufFXhXXvY7GpsetkbLxA1Qed0cmxNtpOKk0f6fLIsGzJlJEHgOu9v8KB4xa64GsjdqDZZAgeBAJqrn9fe5NaZvP82G650FhXurt28cj0/JtNHOFw5l9UI/6Dc/7J7y89EVty0X+fnvRyh5Iq9LYITeRJnisV5bnKeP6FCsuNZqUghrvFzzzdkK24Y8ptfdJVGiifuxLXmiv8UK1BBqUu5cyvszaWRpGIIndx9N3FaVXxZZI494xu0eTKyZVpGclNABbbcGYdZHdcHuvcOO98hQTmVakwkPG949FwnMp/zyKNNLCTW0cWeC4iu9VkQZ8jF/jbGRy2Q+Z2woBkTcwG/ix26Nu98n+XCshDe5GfB5Fxb0moUpc9MTmRpXrXCq8MSorgJ+3AmrUX6YUTs0ZiB3t3+tQThgaTzm7tBhsnwf1FvqicZs/eBk5Ew0kvoUq56AqzzYd2fYvwE2W2TEroLUP1quS1jVQD3l+v/bDwDX+3yp+Xj5OUfTGBiKh+AjqJQ+suG6tMbdJVAlrndWvb1POth/g5ehY1GsfgsYwJiJHgWVRT/plSjPtsqheLkJp894e9QAm+zGFWWtxJOCLXuC8ZPN/0JjJDTT0JnoJKWP9qNEo+3Wvp3SZHoh6NPdSMQmQhoJgAPI0+gel+bI3EiJXIuW1asSDWWz7inexK1LC1vRrF+W0KAuNxiA7+tNejX+lX/lCSKN+mzI6YhEgrNbA6DzIHruGF7g5kfvn/83kJY9Glez1bN/8ZNpfxbmrowZ2jixdV1HO2N0caaZ708zlASuuP1f2u6jc45BQPA3ZRB9AQmsN5Lm0c41nG+zPd1eWt/MhgXMVNQbQ/bhV/F5Fg9/X03A65YBbgzg+fu3b/D2sgyYA3oAakSEVz5Snc6ofuwMyeR2JNPK5/FkvyNOa3W8IalT28fNfpIzvtCESWtXcMyegeRtrZu9xbeTxNAkJsWLi00pIaRiOFIa9PW0TKYXoKNTYVzPrrYsateUp3Ra/k137CRqatYo0ronMaw/7u9oUNVwP+/v8CQ3n1OQN+n6o/H/N07yx/7cgtVdR2xQ14pUDyXljWznZakN/t4dQ2rb3pLTD74B69oX3W28q1odGdW1bfG0B37cBMj3OyO41FJXlUZ6XQ6hYSRCZCHdtokz39GN+jARZURbnRPX2QTSOUKkwzIXK2QDkoHE3ZZytwgQ3dyvbwMrxrgnIHPwG5fjLFkg5arRaXz0+7XdhFawzkDaxmL+ss1BF3xBpXtUK/+JIWy80ip0pPWM29cK4buV5/rtoCEb79fMYOleQLUCR7e/hhedBynGIQiAUJqOtaKGWgBraebLtsWQV3yvFHsDl2TOuVuU666DGe23UxVyV0tTxNb/mCdXu79/7ozGTEyndEBdEPQujcSyX9ZFGvYC/k+eRAFke+XyfSPVJR4PRYO3SqOF8D5kbTvH/B1JlRrLn+Y2o8g7DZ4f6f2uh3km1hX42Ro3BsUgbPAGZXBZEQvKrBpHGFXR31CPaldL1cDMvO5tVuVcv1MgsgwTe82hM663s+UZVKZerIxNjMXdjbySYC9PUXJQNRH7eJv7cecC2PZFp5hQU+qPayl+Dke18hL/bscDueZmvOD6fDHgX5cD2YFQe/40E0vv44KaXi6JHsKTn9dz+3zDUQ7jLn6E/5UByLsznRo3540jx2A71jvZEPYJ3qHBmoCzPQykdJHZBppYts//npBRUS1C6Oh+EXGyfRHVpLDLz3UobuHKi8l14da3t73p91Iu/EpXTlVD9rekqW49PewmCVVEl3B5pPt9CDeoOyC3tUsrIiZWDf7/zwn43ktxT8fEBGnptVEr7fZB56BDfHo0mcjzm9/0hDbvgRaEp7IUbowpbTHTbCDVONUM8NzMveqNG4yTfXhg1yvdnx4zxijN3jWssicY+Ck+I45E7535IWD5EGQZ4zornW5Cysm+BNNd1vLKMRw3pvBXvYUXPi2Jm7zjKIGuLUXs5xxW8MgxBtuNiXYNV0RjIoVSf+bwa0piKQdMeqCJd7+/t+WqVBmmVd6GGaSvK1cJORILrBtR4DyrSiZwKDsmusQMS/DujBmkrsrJZWc6yCn8nZUiGy5F3TCObPerhbobcZzfJ9u2J6sJOlef4MfOiXlShsU5AjVZvf3/foGL8oOLcVygXabkW9dBOnkmdfd+/j8ZdQP2/LZFSlw8yn4XKZOG2eRUS/EU8pAVQI38PZS+yF6pn61K6ay7u33ch4bM+ai+up0rk2KxuPo8a8CvRmNxByOy0PQ3Lcj9k2jwPKUSPozpxLOo5boF6M2ehdqd3rTxqRl0fiHr7u6KB+Q+Q0H4DKWx7IOeZJ5DiMqNaW1avT3sIgiVRI1oEheqHXNFy18evFpihoSTfG3Wn+3phvB91BWd4Ac0nbFWG330Z2YNfRY3lnKixeN8LQDW7fRHud7gXqA39Je3i/8+gGQHrmpEnY7xAFBN6Rnlhvsi3l0cmtHxAOy/Q+yJ31UOzfbuhRu8e1HivizTw3LVwQ7/PDag3MRhpX68gr4Ybaby60mBPyw1FPqNKfAPlCk9fTULL3t+6yG2zMEOtDTzqv5f2d9nINdP/353S1NI7f35Pz9DKPPHtuZHGtQpSPhZFWuJ7qFL297L0MWXDNgUpCAdm1znGy8nu+f2zNExFmue1lF5tV6OGZApqRBpFrkS9nAuRUnMYElbFoj3z+HttFIY6O/9mZDq5CpmHniGLr18lneOQQB6B6uFllLb0CahO1ZqLsz0NV0IrZpUfScOebV4uL/ZyMcq3L0SmsLmRMnALDRWw3qisvoLGaIpJngtSrvJXCL9aEywLE+sIz7+PPQ8GUAamrAzPsihqE26l4YTF3ZEpciDqabQqEBxqq/ZHQul7lL3/FfxdFJaG/pS9qE4hCFJqY2HgL3sM0poepqFv/Fd+5lXOm+IF52HK7lwv1IN4koYhZSsbhAmoUd/Wtxf36xyPut8jqT7wuCqqnJOyff08LY8XL66V+ZFXnEVRQ1oIhNGo0XrTn7PacoBrU2oP+6JGp3KRnkLbepuG8XyW8OtP8N9HIo+FOSl7SjNqpHsH4C80tPHOhYTLuCrHT0VC+GHKOEbD0VjL/f7cVdcs9mO3oPQcKXoxq1N7AtRyNFxJaiplXPz1vOLl4QZWR7b9PbNj7gYO9u3lkRZebX2AtZDCsDnS6n6KGrTNkDB9nYaeWPk7X8GfvzAB7YcawsLUUs1VcgnKQd05kWZZ9JiW9DJQbbxlOhKIh6JynS9+NI2KAH40NpktjYTkOtm+W5AgWrhKvqyEFLfLkNAa7fsvQErDu9XKl6fzJbLQ5L5/GNLWH6AiSGDF+WORt9K2uIOJ718KNcYL5fmSnTc/6t08Rja4j3rTjdYdbkFd/yoEDuoZ/AD1WooyuqaXo1aFsmjPT9tdSI3dQ57pi3qhOB5J8kW9cNQqVA+iXsEjXiAK22pv1O1fNTs+r2y7oO75w6jhKwJQLYL8n4+sLBTZuVMow+b2zV5mX688jRq9FubLSpTeF9UEwn3AVTWebzrSoAoNYx/Pj60r7jEJ2bHzwcFRwJUVBfViykG9g5AZbfVqeUS53sKMKv+Nwsdj/PejSLguj9v5/b+l0ODhhMrnQ6ahNfycOZGgOhI1oGugQd/CTDU/Zaji8SgW0eOooSwGhD9DpoCfUUXwoN7DX2goEF5ELrpvV56TpXN/4PSKMvcxHs+Jch5B3lPNV187HY1/FD2Og/x+g2hsu98ECYs7USObu+vOQI1J4TLcj1JwDkPjNPMjbfd5ZPLq5fd5ktJEtRhZAMPs+gORdn6aX2Osn7dClbxc0tNYeORdgjThUb49gnKyV16e10R1fB2kpNyXvY+RXiYWqrhXZaO+IurFvUQ5ZjYJtQHzVbnn9shNdBryGDwRtU0Hep5+gAvrVtTxoqwsRDluuam/wz1Rz2UJPCxLW7Qr7fFpuwvJTnwGMlvMhxqn67wA307pYpi/qFGoYh3s22ORJnIMTXSf/dgNUbd0JGpMipmuRddzNNVNQwugLvp6aNBroey/9ajiztnKfFkfVdTCO2lRZDI6KcuDV/GZ0L6vPw1NFD+lrMwHII07X1Iz91hah3KQ/jc0nHj1TTzmDmrIvukFeCxVXPe8QH9C9UmBK1G6fA7M9t3vv1cnC/dRce5GSKM+inKJ0sH+XDeiRiifnTonajgeQMJwKdQgHYcmFQ1HCsDuVIlRlF2nUiAsgGy5q2fHfOXI4N/b+j2NsvG9kobmj8IGPcTL3aWoHA9AjcCJNFwnoFrkzlUoYzjt6+/ufM/HuZEgn+HHDkY27smowR/g/+/i1ygmYU5HZf2rcSTktvslpeKUC4RFkRnxYf9sWpHGHkjw/gs4q+K/C1D9q7rQC+VYUzGYPzcSfg+jevx9ai9eNdWP+aa/s+3R4PlaSAt/i+qzmb+GFJ6p/sxrofp2vJ9zGe7e3gb1fCPKIJXn+L5t/PmeQQpvI6eEzvRpi0zI7dyDveDf77+LHsIxVOkeUU7J/gVlV3pZpGWcQPXVuHoi7f0+1IiO80I+P2pcnqz1glGjcTXlzODD/CWtirSLt6kxKNeCfFmEcmxkMmrIihnCSyCNpBh8W4iye7sMssMuSUMTwFcTjmgowOZAXdItkYnsbTQYdwqyc/8GadybI8E8KbvnHZRrA9TKsy1oqNnnjceLeCwl3x7raV8LNfbVJpQt5ukdgbSm15CwzOP/FxOfKmdMX4ImlRXCZzkkEC6hyuznGs+zCjIZHdzEMRtSThAagkxqJyEhtBbSTHOtfX5k2z8GmUkXRoLtPM+Pj8jGe2rcc1lUljdAJtVxqB7djzTqrwIyokb5TFS3ijUMvouC/hX1aC3Uyyh6AQtR9mIOAf5IubZ1r4q09KT0rqrWazwWCYRRFfsvI1vjN9vfAzX8L6OB4TysyKpoPKRyMl1R9pdCAu7raGD5t152tvfnv4bSbXhhyh7YAmgMYh6kHD2e/TcY1Ym2ij46B+pVTUSKwb2U4du3QG1OoyCYne3T2gavL2p8Tsv2DUW2xke8Iq2BvC0OoYY/LeqaPkepaS5HQ/t33ijM7d/9PZPPo+weDidbCKUo2BX32t0L7a6o8TwESe4HaKPgUMib4xKkyRQCYX3UoBcmopqT15Amej0e4Mv33Yka9mq+75uhhvlhyiiTOyKBegnqmX0TaS+LUdqsD0bzNorJWUaNOCzFf/47t3V/H3g4234J9WSqhuvwSjqG0hY/GnXZf4oP6taqMJQuwPdl+1ZADXWzJ+0gU9M/kJZYWT6Ww8dasn3DkV38ai+nue29eD8bIM+syygbiUWRdvicp7vRimH+/HNSukmejLuBIqXlQcpB1XmRi/Y6/p5OQHVrNX+vV3kZ+DoSxptk9/s2PtPftw+jikCozPssnWv6dYswzkejMCOja+Rx7gJa1Nl1kfJ3ONW9yirvvSpSHPbL9u2NFIjCFl8IliFIsTmRUnB+G/Uo7qV09zyUbPWwNqjrk/0d3Eo5iXYI6iV9tyg/bXGv9v605OGLlzwGNcgLo0p9fHbM4Z4ZhRvoWmRmjSrX7OGV4A2aCBFLOa5wJbLlFqEF8oiFReEYlJ1X6U64I9nymL6vUSTDFubL0sg2uRGaUHJ0VhDPR1rwglXOG4/cGotp82f4s61Aubzmsk3cf31kAinMQL2Q9nQaEnjFfdZDArof0j73RRrkXtm1KqN6zkMZ42kDv+bB2f8/oDQPnUPDZRnz+SPDKBuGXYED/Pe2/nxVl6qsSMtcSFDm6xrMcuwYaoRP9rJ6SVGWKIV50VhWc0aYigYmD0OmgnNo6IGzOPJEWqfivI29PFyAZoMPQ6aej/y9PE8WtAw1rN/y66+F6s2JqIFdG2moh3reFl5EuSJ1ERJMlQKhkcmoSjp/gur1c5TRho9FykSjscDsvFeQsnUt6u1ughroY2iirvmzDkRC7Z6Kun0djVcz6+3XPhdfxAj1nv5JqcRsjawJo1pSx6ukcUWkDB1X5AvlWMlQNIZas852tk9LM6EoHMWCzosgaX0Gamh/QMN4JUWDsDA1NDgv2KfhjWGxL/u9GRrQHI8atEeR7a8P0oZOoeEg8MzcCY9FbnC7UxHErRWFY0Ok4RYCYZoXzvMpQxk3avCQGegnSIu/i1KjONEr0Uc0o9eCbPxvU4be7YkEQoMuqleyn1FOelofabXbIG32TMqBsH7+Xo+kjBW1LxpLODO792vA7ZXvPLv+J6gRfw11/ddDg+n7I5PZ+MpzqTGwhwTC7ZQCaJbfXXaPSm10jKdrYrZvGmUDmD+XeVm7gzKu1PxeNq+g4Qp7V1K6z5rnwatIizwXmTEGIgVrN9S7nlolvYU59AIaCoSLkJBvUuNFWuzzlALhEOB/NJw3MjD7PWfxLKge/ZiGysyJVA+9sTjqJa6A6sI1qB4MQIrSZdQWIguRadWUbcviqP7/nOprj/RGysrllL3MW/19XI96z612FffrLol6kNtkbcx1qPdUmHxbPGehHp+WZMIKqOEqBthGogHjeZB2cz3VBxxnIJvhrciW1+yBG8plEvNInkWIi+F+7xEV5zTXnbBNYoKgruebNDQv9EJd+MLdrlo4jJ6o4hd2zzm8UBWL71SdndpEOoq5FrvU+L+YALQNWQhxNGbyFmrsizg+w1BjNwk1WNdQ+koviGy5Z2TXXqPK/VZCg52FaeogZPef29PwDSqWv8ye422kQNSa+DW2TStD2eDu68+6q5e917I86VXlvBOQya3wblkG+I/v7+/l4Bpkgsq9qU6inMlcjB+t4N+FqaPBXBz/7uf5diGlQDgNNYLVVg5clIZLShahkwuBcASlg0d/pM0Xda0X6rV9Dw3Gjvb902kYOiJ3d53Ty849lCbcHn7+IX7N+arlvf9eCJXFolEdjtqOH3ueVXNGWYKynkzyvCgE+EqeT40G7ltRVgYgJfS1bN96SDE4kCZCw3TWT0syYWk0WLUP0q6f9k8xEanoyn0VZtdf1BOoAu+KhMnc1QqCb6+Bzxvw7ae98P80L0SoEW1q5apZcidsZeFYgnLd0h5kE+v8e94az9ob9Qa2zM5di2yJwBakZROk3S5AFjsICe4HKL1SNvM8LRq6+SiFfG/U27oVNT5rIG38FsoGYbi/y+/USEcf1JC+hYcu8P1n4WbFLH/6ZedNQPbtYoLWoDYt9GqsCuG0Go0DHo5AA+7fR8pN4cm1DOq99a9I+05o9vs4f3+LosYz7+0U9aJo5IegOvFTykZsKhojqOZsMR2ZHa7AYzShHsI5yIzYg+ozoIte/J1ICSvMGOcj5SV3gy2eZ2U8tpRvb40a4q19ey2kSBSuvz1Rr3gX1BCfjQTfDUhjHpjl0wFNvJeJyGQ4w/N5Ycp2pBjIP79Keg/yd3U3Kq99KD2QTqANYv9k91rOn3EIUmiuRj3+omxPoY2VlI76tLQi7Y+k/OaUK2vl8e0Ho65ZMSFkESQ4DqJh1NJGMXiygv9TyolkzyNJfDJqxFdF4QNeYSbSnma4E7aycCyFBiLnQ+acbbJj1qechFUpBJahHDxcz5939ey8p1CPp6VjGFU9Jfwd3EXZI9gUzWWYUfl8SPu/ALlK9kWN3UVICy60tgWo7po5xt/ZCKTVnZQd83U81Lhvz40az4m+PcPTubof+xbqmYxqk0KvdH3fK/Hz1FhwHAnEXtk5D6Eey9w0XqHrOORWeLeX0SJq53xZed/A8+9YL8MHovGuw/2/N6iYEe7nre1lfRk0b+G17Non+DXnqXLeap7386GJhH9Dvc7i3V1CFbMsGoy+C5mP9kJzFY5FpqzrkaLRwJUT1YEXUG+8mKW9J+odnIgE2AdU8TCrKBcnIGXtT0iRuBmNL2yEGuBfkMXgQkLoCSSQvgk84/t7+jnfpo18+71c/tjz7TE0ID4XGrh/gjYalK7XpzUZU2g445CGURlQ6kxkRlgYaZa3koXo9Yz8CVUWxvD/p3rlmIG6wEO90B2Pumf308zgcTTDnbCFebCxF9ii8E/3QnJc9l+hVY6kXERjNTSmcQtyhZ2CGoNPkVb1AZnppA3SuQQNF57fl8x7Cgn1fOZp0Sisi7SrN5BpoT/qIZyPtNKqgpjGY0oL+zXuQvbw52gYpHAwahjvQV36Majh/T6K5zIZabU15xDMQl7kGtzfinfi+3pSCrPKCWEDUUN/jpe90ZXHITvyKpSOE33RWMuVnscvIu34FtRwHeDpuBEJu0bxurJytbZ/P0/D8MdzUbsOjfD0TMGXf0QOGM9Sez7ABCTM1kCN+e8ow6oviTyZqi0zOpeX5SdouH70FCQILqBibCE7d1mkGBUL3/RHA+VXIYXgUMqe3DBK4Tray8omSGA8Ruk+WjhiNDvk/EzKzQLInX0u5Mb9GqXJdRDqBbXJRNV6fVqTOT1Rd/JFGoYtyO14p3jhHYoauweQd81BXuCaHBT1wv8emjByI9KWr8b9h2cxvTXdCVv4/CvQcOxkGBKMYyjXim1QuZHp43EkKFdBQnIDypDIyyJBUTWGzyymr7jniqj7fi0Nl1I8FflsT688x3+PQ1rY2qgXdj5q1Pqg7vwlVJ9RXpkv+ZjSC14Gih5j3pCuhcyPD3sl700ZYG4RfE5JG+XJov5cE9Bg5FnZMYOaOH8fFMHz3Irr1dQIUQ/gONSQHOb75kFacB5VtzAjfTW5LftvO0/ns1merI96bANq3bviXR/kv3dEdbJqhE6/1yXZ9hrII2e/KscWz78xEnYDKdeQLpaTnZ+mV4qbipTJI9FEskJZXJ0yPlav/Nt/fw0J5Z2RM8Qj2X+7+X9VPcZaWHbmRYrAt8hWd0PCcVBTZaCrfFqbQQOyip03JHlclNO8EM/tFeNQJCQaub7VuMdkJIX3o5xtWdP9dCbXasvCkY+dHIe02CepmMFcWblRY/cHGnpkHEqN2botSFceIngtv9/qyKvoMsqorMt7epevTK9/r0PpYlnEnHoMCYR+1I6wWmtMaR0kGF6jInomEvqvoN7G7UhgFJrdJn7Opm2UPxujxqfwry9CXZ+MhPHtXlarDVpPQI3Pe/gEwmbecyXP+1cpfdH7IEUqH9itnEn+NUq3z/M8j+ZC5o93aGLp1Yr7b+vl8zB/F43MehX17Q6knRe9qKvRHJdG/vKeljcox516IoXmZtQTfJkaQhwpZs8hYb8NWewepGi+iep8pXDcBClQhbnrYCQst/L3+DqtdOmkrAeDKMc8zvRrF2NZE5GC1+pFcDrDp+0uVGbeYsgE8nz232nI17hFo/lIe/4VFTF5WpHGtnAjnenYScXxuUB4noaazH64K10r07QM6lobcsO7jjKWzVDKVahuRg3s2tm5lY3CEkjjyj19zkcDkTXd85rIl12z8vE8Dd0uz6c0p41A5pP70GDdgpTmpla9N9QbqxQEfZHW9yM0QLlplfJSjFEVE66WR+NDe83CvccgrfIS1FsbhcZCih5UtZnkt/s73AsJ4PMog0DOdOnV7N4DUe/wTqqYH1Ev46CsrFyHxgbGIzPPVZSmr5GUYzv9kGmviDS8Dhr/WA717r5JE+FdPN+PRILghSwvNvI013JD35dyjZOi17A78oo6g7YLMbEZMnu94O9sRSQYv+vP9i5tNFG1M3za9mKlx8N+SCN4MfvvbKQZ9acFZhovsFVto3XNwJmMnVQc2zv7/QrShHb1yt2qQuWNyb1I853XK8ZTyMWumK05J+rGH0ZDP/qi0ZtEGfd9NTQ49whqCFdFPYlmLQDSVL5QsZoU8pC5Ovt/NWTjfoRmmEFmIY9WQl39XbzRKjzLVkINWzFxMe/lFnNHvoO06m8hs9eKyJ6+70zu2bPi/kWIkHuoaJipPpN8OyQs98iOa9EC7Vm+57b+sWi+zVloLKMw75zi7+VFGg4WT8fXrfDtq9F40oNofOl5sjhblflZsX8Aaif+lqVtNSSUq45p+DFTPY/y+FBb0gahZLJ86YcUknFosuv7qLcyEoWY2IdyHKPThpiYpWdvswvJte0WGq4XfA/wg2y7TSR2Z/owk7GTyoJCQ4HwEureLlnt2FlMxwA0llJMXFsUdZsvRDbUJhtVysU4DkY25ju9wK+NTAz3UBE+e1bzJc8T1PM42xuWBZEWXITqWN4bmFatPJXdbzCy049EDgg/RO6SqyBPly1rnN8X2eWL4Gor4QO/vr0GDUOg50uR5q6yua17WeQrX9WMQfWZ5Fsj89xBnq8tsk9XKYsTkbJQuIUvjlxk8yitxSDpKMoe1bzIW3Cyv7s9KU0na/l/89JwTKh4FwMqtkejhvbbyIngNWqEVs+uNRAJq9NQL2IHJFRqCpBZzKfJyESXr8GyJ1VWXpudPm17MXkM5C6mS6LG7r62vE9n+1AxdkJDTfsEpPEtlh2fNw6tjqWeXWtnFEDsCt/uibrP56KudVPxkA6gXNRnENKIr0PjBf3JJkG1NF8q/ivcVk9HAmcVZKq5H9nwm2UPb0YaNkVa5D3I3LIgZeiR5cmC99VI5yWoV1C802lkA7m+b2FKj7JN0JjC5XiI9CrvfFAz0pzPJO+Beghtumg60qb/SimEeyAz3h00Dn++J3IoWDHbfoBsNTIvM29Xvrss7yajRrx/xbWHo4b9UEqX3JmNJQ73Mv0QMnsuP6vPXyONRZm4AvVyjqLsteyD2rPBzAYDxo3yoA0KVGEf7I9cEf9E6S8/Hg2uPkQr7f1d5ZMVnPWRTXEr1A0/hoYmg0YzWVt4v0oPoC2RLfrI4n8vxBfRdAC/I4EfZdvDkdmpzWZt+nVXoOwJLYgG5U5DYws9UY+hpvfJLN5rJTRAOdCf/xlkKuuNNNiXKHsteQiGXKBPRFprEXZgaW8E85m+u+FzNdBA8VS//i34ojuz+s6ZyUzy1pQVNH5UuGBuhMxg+ep1i5NNnMrOO4qGg+A7I/NQMd5zAbWX4lwd9aomVOxvVaOKBuLbZEF5pJTcSNkT3Nif6YisXo9oi3t1xk9LM62Q6Osg++ftXgmGewZ+6Nu/QMLiZFzLmV0/FQ3tnMgEsjxqoF+j9KFuE79nv1beYB1OGdJiadT1LmIz9aCceZp7rKyFeg6rU65HcZX/twwaOGuThtmv2Qf1lB7JGpQRyKxwD62cCFjlfhOQaWVrJBQWzu45FA8TjuzDPyWbHZuV8YFImN7m6X4D2LzKvfZACy0VGnVvz8ObgQtbmP5GM8nbIE9meAN+I6Ug3ASZCKtNeCvK2BQ0nvQ8Eghjff8OaCxlXaqH6ihMZy+jeTSDfLtNlKE2Li+TkTJ7km/3R8LyKsoB61a7pXfWz6xmVqVf+MloIG1h1MW7wSvaAkgDHI0aqtdopf23s3+QFp0PmB/kjdzLlA3x5rSx9wHytHoXDUR/SLn29DLIb/sb2bGFx8oWSAN/A3lGXOeNw3hkm37GK/xmbZC+ojH5atAYhRa5kzLY2C7IPNQonEIL7zkGDXivgBrwlyn9wmf4vmIAtDBZrI20+zx6a9GQ9fZ0r0UpxPIeWRF/ZzukABVusT2QQnAnLRwvow2XSUTK26tIabvV6+W+/t+WSJhVC4WxGDLdrYYE6EHIlFK8v12pMHdm770IeNgLOU3cXJm/9fhQEUSOhqasT4CtfLsfEpazhftok3kyC5k3Eg2qFLbjJ4E/U3qqFGsD3EG5ZuuiXsnH1vtB2y0DGzYKzwJ3+e8Jvl3M3lwJaXmNIjy29L6ocT+fcubrVz0QP2Y5Mq8h31d4rDyRvaeFkWA/wbdHUGWBmVakdSNkQ7/DG5TlvKz8GE2+epEsVHMbvIejgNv89+nI/rs58oR5i3IZ0YHeQBU9qjWQDT0XCFU18qzxWBlp/4UZaXcklAtTaQ9a6P3TDmV1ByTwN/I83w+Zyooe5Hw1zhtFw0a8N1Ig3qPpsOpTkIJ4uNeHnsiz7Jo658NQpO03WDMle6dTUU+pqLuzhbfQTPNlFjNwLNIqCi3vORouNFK4LY717b5kZonZ+YN6SCcjT5CiIfo68td+CmlkjbrhbXDfw5EN+yXKxYE2p8qaAtn2+sid7zjf7oVs1Ne2Q/rGoZ7LBOSWeQXyK++LBnS/8tZpg3utTDlJ6xbkKdQLCZ6LvQFr4J+P3Gjfo5wEWU0g1HKNLALLfR9pypv7/t2QSaRRFNc6lc1l8EmNSNO9mbKndDfqJTS1jsgAJETzNUv2RjON16pxzkQ0mLwmUjy+6/t7ozka32vtc7UyTy5HnlP5inW5QNgY9ZSG13r/s9unuRlXdJd7eMNzAaVN9XngzuzYNrOJd5WPN0I/84ZkFeS6eKf/18//Lypfa9xHi4K6CKVXx+aol7Ztlpb3mElEVtRD+IjSY2VtpC3O18o0LoaHP/btPXHvJt/egYbhk2fZS6nKPXuh8YiPkEZ3nOfRuTTU/vpnv/PB/F3QRMlcIPwB+HoT91wAeT8t79v7IQG0hW/vTealVIcymfeUlkdCtxgjuQ95SK2MTGY1Pdqyur8Ymn17ARLmL1NjnXJKp4XJXh9eoVRUevtnQls8ZwvyJX/v5yJBWEsgtJmJrit8ml2o0KDkXF4J7kGDjYVAeAN4oN4PU7dMlAnokop977VHniD3vfe9Qb3RG/XTUeyhR5CG2qweCNJ+/ozmJVxDG4xnIHPhl8Dhvr0aGnwdmx1zC20QdC67XuELPw4N3N+CNN67abgka2UPaSVKV8ZCIKzr2xPQKl4js3KeN7D9kGKU98DOQ9rw+rXu2cHlcjywj/8+m3I8aTnPm5douDRmXtcXq7J/QeRqe/bMyhgatH8XmS6LMZWN8VXI6pE32XPMme0728vnmCrHdYsewVfP3cxMrIxCWSz6nAuETtElrksmSvt5h4Zr3B6KupltFskQhcu+i3IQ81g0QWwpZMYbTzmlv1kFGfUs3qD0k2+Vhu7fS6IosYf69gWe1i2QOe1DamiVs3g/8+d+C2ni05FGuhTSSq9HgmmBrILnmuERaJB/km/vgoR4sXjK3FXuOZly0PVYv0YxkLqqX+8Jsl5Incpkb2+4/44GtjdFPvJ54194uOVCbhOkaIyruF7NNYuz77HeVvRFA+434PMKPG/epA2j8c5qWfHvDZGn45GUS7mejkxnXWaJynbJo2Zk4go0jkK5AOolPErmR92dP2is5FOvDFuhwdI2CZ/hjd48qFv7YdZ49fD7VF1cZhauP29bpNG/ixW7lkTr6+6JBroPQ4LsIWYyw7QF914TRcM9E5kvbqD0FircSYdnx+e/D/V0FT2Cvb3RnJcskmh2/BpIwGztx1zm97sAmVGW8IZlbB3L4kgkJBfx/LjJG/kXUbDBxbNj82cr4katWOO6NRUFNA71M3+/byKnhPWyd/IUFTPR65Av6yPFYbyn8RZKJ4rzkNdXm4U/6Wqf5mRgtSiU30d+xQvQxWN4z1JmVY9kmYeX2ANpY/e2RYNXeT+k8V6KBmLH+r5NkEdR3ddbRV4qL1OGLRiD/LYLU4VRjhW0dNGevPHqQSmE5vGG+CZvrC+k7KksjtwFl0a92otpGM77CG/IC6+iRmsvo1mnxbKTa6AB+K39mdZDHkzLIvfTd/E4R3V4B/1Rb/E6T8tyyBSypKfxV7gJCIVdv4xS6C2LBsQLd9tif5Ph4j3fb6EcxzobCZ1Fs/tUXemvg/PlIjR+Uqz5fREyl43zY2Zr9/eZ5lEzMrHJKJTd5ZM1OpNR/J59sgJeuRBK7/ycVt5vCurG7o0Gd5dAPYQnkTb8CtlCMXXMn7GelsKUWDQkS6H1gNskRLdfc12aMEsipaWo4Ia8lo7zBrF4d5fTcGnVZ1APoVEvCWnYVyFhV8TWWQ34Lx4S3PdNRJpnmyy63or8GYQE1AdIM78CD2VBNqMcDbwv7s83D+rB3YLMnsXA/pqed400Zs/b/siL7g0aCtjTvTzUvYGldJPuj7yDnqKc//AJNVaK626fWcnQZkfnnF0/lJrv1mjyVr4oSpvHKvH7vYq8N+5DWsxCyAxwNb6Clh9b18Eub0CK9Q/60XDVsCVpxfwKJAQPzMrguVTx1KHGJCZvpF9Hs4zHIpv27kgr3h25Xt5KwzWLK3tlR3h+b0A5i/ZKtDRksYZxb9poac42eidLIPPH74CXauUR6kW94O9tHxcIx1IOqm9QcfxXkT39ex40s/xsMi823666tG0HPb954/8QWtOhL1ps5yeoh7Awmge1Qr3fVWf49KD5fGFmK6Mu9nEppSdn4dwuj5kZagg2AT5DFf98E71TSl+28f3mQx4tW6PVteZHmt7FfshpyAQzzsyWTF7660h/YBUzmzOl9J+U0hfAmma2W0rp/ZTSE56HLWEsGrs60Mx6Io12UOX1/J7VeBOtcvcXP+6/yJT3OBrfuQmtqvUi6F2nlJKZTTSzvc1s+5TS2cjmvhUwzcymoh7PKimlX5tZz5TSZymln7fwGduclNIHlOsHH+77vijyzcx6+L4DkBZ/J/JKuxoJ81XQYPmjFddNZrYJcL+ZnYUa1nPQimgbmNkUP+6IlNIL7f6gNUjiUzSuti0az/sT8py7CpnELksp/aReaexM2Ky0IWY2ALmJfVJUmPZLWv3JGoX+KaV/m9kVSHsaCeyZUvrYzDZCtuv72yo/zGwiMq88jirl91BhTqiH8GlKaX0zm4RMJheklP7YFvduQVq/KgdmdgEyox2CvElOAQ5MKT3SmmubWR/0nDPQXIIhaHGgZ/y4IU09v5n1QsJqc7Ts4xmFMuP/LZBS+kXFORsgzbZY72DelNLaZrY9iuW0DnKTfKAyHzorFe9qGuox/TeldILvuwzNPt8+pfR3V3I+q3KdRSkHXHujslmseX480sBPTSn9qf2fqjpmNgb1Ui7y7R3QHJdrkUvw/Ghs5J16pbHTUe+uSWf90NBmX0zXXx8NwO3u2xOQtt6qUAoV910Eaa2F99YYfPo+8oI4n4YTqfq11b1nMZ3Dst95eOajkdnhVjwSZhu8g0XRpLLpyLTzOxQg8QY0dvIGpalmNB5UzLcro7Puh8wGU2gi2iVq7HbOtm8Absm2WzUQXs8Pmmz2Noop9CPgoey/a5AJ9KvlJtEAcOEUsKyfW8xZmAO5DD+BZrEPoI3WFWjF8/VEPeobyJYnRTGx/kiN9Su6+6fuCejMH28w3qNc7rAn8tf+ANmL36CN4u779RdC2tX1lJ4wg9C4wfXeABahhjs8nnrWOC+DzFUzsv8qA3+1VVjhYqWxpZDGuaELxPO94elJw0HRBZBr6HEV18mDLB7sQqTaYPEG/v+3yVYxQ72R71Ln+QNtkJ/LIY+0fJb4D2kYVmaZinP2R+M+xZjN9WjCWjEI2w/NZXiWbDnTOpXNwZQOHJuiwfOv+/ZSyMtphXq/h874qXsCOuOHMqzxfZQDtBujFaqmIU1pGdpg4lR2z2ICzEFIW1stK9SDkDvjCp0gb6YjW+ubyPtm8+y/fEJXWwS4W8LvMyHb19vTcBU+m5Vy4mORX5NRD+70iuvlAqHROg3IU+4hJJQnIi1ykv83AQ/XUe930Mo8nYzmB12Nz8Hw/T8GHqs4dmhR5lwYXkrp0nyT51XhhvrVsqF1fLZN0ODwbcBBvm9TZM66BylvE+v9Djrrp+4J6EyfXLvw731Ql/l+5Ip4JtKK2kQ7zO63HOqeF3GCDkN2zXF0gvkDWXpHooHGRVHEz28gDb3NekcV91saXxsZjcsUmmk/1ENoNGMUDZbegXzt/0bFpEiqhJbInu1S4Ils33aoZ3gpchltl+ds53eWe3SNRIrFYmgcah8y7yey9SSQ0D3Cn31tz/ML/H0XwQCvRy65de8t+TPdjky541woFMrCCGQerEs8pK7yqXsCOssnqzQbIz/k+dAEpY0pg5FNQJPuBrXhfTdCMYWeRaaLQiAc4ulos2Ux2yCtCyPzwGjfnhdpXfeRxehpg3eQx8L5iGyVPGTGObzauch+/QRuE0Y9uA+Bbzfj3n3QfIQHkLtp4TY5BvVQls3T1pU+LjjfRArH25TrEtyAeqKja5w3CK1Odi6lme4MZCIsQnDcUs8y6u99Ya8/12RlZwnU2zmtXmnrap+6J6AzfZDHyuuUi3v3pxxEm0wWC7+N7jfMC3GxDOS+aIC0WFjjyHpXNP+ei9IEcwZyU1zIt7f0BuGc1jSU2b0mIR/3qWg8YCryqjoSCc7XaGJ2tzdcG2XbE9GM5OMq71Xl3N5IWz4PeR31rXeZbIN3OD+aG7O2b2+CzF/LIdPjzVSYzCrexf1oRvWNyKuqL+p1XU0dY/lUvkOkPD3rgq4Yb1vKhd8SzIZrFrf1Z1bmGXQHFkKF/Asz2w0NNh1jZquiyvONlNL9rfCXr+R/yPwx1LevRprOgWa2UUrpzJTSy210r1kmpa/8yW8GHjGzhdDi8vMBF5jZwciV8ErKSTytudeGyCzxK+SRdCwaND8GBTrbEDXq9/r8jsJffqSZ9XW/+Q+Ag3yeBmhuwZWoocDM+qHxHsxscTMb7b8tyY3yWtSATAC2acN3XS/+gUxdPwFIKd2HGvPtU0rPIdffBm61/i4WQ+/gEOSZ8wmwE/J2+xaKdps66Bka4WmcZGYHmdmyKaVz0VjBCcDKZtYrpfQeUqY+SG08D2h2pFsLg6wx6e2/f4EancuRBnQ9sjf+CTg/pfQQqCC2xf1TSn9B9u11vEB/huyenwJbmln/trhPSzGzschufAoaK7gRxfm/GLm/zo9mqf4fmlfwt1m8/gJmNtJ/D0NmmhnoPXyBTBnbAR+llLZIKe2fUnqw8Jf3BmEampl9AhowvhQtunS9mV2J8vOGlNLT/o4XBiab2UXIJPQlfNW4WErpfyiuz0+AV9rqXXcUWZkebGZ9U0r/RF5XZ2eH/QWN+YDKdjXmQJPIPkkpvYnyZDkkSJZBitHb7fAITZI933hUDtcAjjCzfVJKFyDnhrPQuAEppX91dBq7LPXumtT7g7rNlyJ745LIT73wIS/WCV6hHe8/AjW2D6OK9jbyA+/w5ULRAGMRrG0RpCVfk/1/PBowXCnbNwV52cxyWlHgtDGUJqjh/g6K0AiroMbqOKqsmIcmf73p7+kUtM7DdchHfoynbfUq552M4gqdme2rHK/ocmMD2bNMQ8LsJmQ2MyQgb0EmvteZyRwQZDK7ApnNigiwB3j+LtHezzCTtK2Keu1jfXsbNLhdBEQ8iE401tZVPnVPQF0fXl4SL3sj+BzqZvbxyjMNjRG0+VKVVdIxEJlAjkTa12ouhIa1972zNBgaFxmLghP2QctGPkIWgx4NKL5Kufb1snh0ylm5V/Z7JOpxFOMmqwI/8t+LI6G4bJW09kDB2JZFHiSvuPC4zxu9eZq452hk/jgDBQCc2/d3+VX6kAfWFf4uF0ID6jdQrj52AOWCPk0KPDSz+GzUQ97W87iRcK3DM66HQsJ85VqMwoRcCexX7/R11c8shaOY3TCzA5At9EukfW6XUvq5x79ZEQ1EvdCRoQbMbB0U8XGflNLrHXHPivvPhRrTq5Ep6BtoIs8TycNKmNmiSaE4WpUvZrYWsjvvi8xC30ImoutRL2E+NPv7UT++CE8xR/Luv5sNLgNuTSk9ZWbfQT2FE1JKP644b5Jf948ppcfNbAvUaD6HTCerIFfUf7b0meqJm9peQ2sSbJNS+tz3fx+4KKV0Z5VzirzpmSpiO3nejkXzOoYDD6aUHm7v52gijf2RRe8/PpZ1OurdXe9p3Rp4M0WIiZZRb2nUUR8o1zbN9u2ENMkfUK5RvCNaH7ZecdeH08GRLyl978cgE9X2ni/T0djJkWidhmlFXrbBPZdEbqlFvl+CNNjFkEvjRmRRRLPziklvl1Fqhjd5GtdFmvBSVc7bGLka7u/HHOf7N0O+8z+jjRfd6eB3WKxatg1ScNbJ/vsmWajtbH+hDG7gxxwCjKj2jmmDsOwtfK4ijTPQ+NpDlJ5RU1BvZa965//s8Kl7AjrkIRvOPF0DBRkbg/zkX0DxdAZT2qDrsjRfnfImbxD+jgLwgVxGH0SunX1Rz2nptngXaBD3X2QhwP2/S5FNuuoKccis9woawDwd+LHvX9kFy6P4gvQV5xXLtI5EA9KvoNnTp2bHFK6yXW6sACkQ1wJ7+/aOaH7Gkcj8+B41Qoh7XXgbxb36tedrHmuq7vnhz/AKGl+7EcWmmuH/Tff0L0i4j7Yun+udgHZ/QPny34ts4OOQp86VyBY+FRiFxgpuRZO+Nvbz6l4JOjCPNkSmknOKBhKNY2yOVrXbpK3zA7mN/ouKXhDyELmDKjOvveKv7d/Pk01+8+8iVk6lVjs3Gn8oZqaOQprmz4AL653/Lcy/ygB8u6Oxgl19exsv6+dTrpmdj5sU4y6nu0AYj8bPip5Br/Z+hll41q+jsaQZaNLngWiuRDEfpy7xkGa3T90T0CEPqcblGRRbaE3fN90buqm+3ZsyPlC3EATeGIz0hnUSGrx+hLK3MBSZUVq1tGl2vTW9YheB/472Bmt0xfE/QvbfygZvOxSE7lnKBWbWRyamQVXuuxwaLB6SHXuK/56CBke71LKt+XOiHtEh2fYOyCtuF9/eCvUKikmU1ZZt3Q255r6EC2ZkPu00phcvp/Oinl8RDeBB5OAxuN7pm10+dU9Auz5cw+7u2Whwcj3f7ot6Bi9Qmka6ixCo1JyLtX1HAN/z32sgG/LANrrnxkgrPxz1Qvbz/ceieQrFwvX9kJttMZawDvA1yng45yGTwVxoXOEdPGYQ8p65Pkv/b1Cv71JvOJd2YXKql4W16/0uZjEP+6KVx4qQ6lOQi+WB2THHIBNREWb9YM+v/pRCeRkXlAPRrOJX8JAfaMD4TVoZfrydnv8yLwuTXOitWu80zU6fuieg3R6sLPhrZ43FxaibObdv90UupI0GKmfXT5YvU5Br5T5Zwzs/mm28tTeyLR47yYUIclW9AkW+nIIGchfM/j+R0t1xDhRSeUtk2nkbTRy7Dk1K60e5sMrDlD274rk+Qr2bk72hW9gbxBuQXXkZpEGv09Jnq/P7Wx34PaUCsx7S7A/27eXRZLpls3PmpnQSmAL8FnlsPYvGyrb07cdQr2xGPctmjfLaE9gDCfaPWlM241Mj/+udgHZ9OGn+H9DQs+Jq5E1S2Jm7RW+gIl/ytZXv8U/R/X4deaOs34rr90fa5v6+3csb8O95YzPa90+n4QS2osHaDE1ke5hyYtF2yP69R3b8nNnv3tnve1CvoOjxLI56OXcAK9c7/9vg/a2CXGFzgfCiP9/b+DrE3oD2yxrUZZGn3Bq+/U0kmAsz2iLZu6mXN90kZLqanu0r4oP19rI0qt7vYHb81D0B7fJQGhyb1xuFwj7dJ/v/OmSq6DSDZB2YN/OhUNyLooHhl9Ag4gNojGBvfGCupXnv3ysje/UOvr21NzyFOWItJKirTmJC9v2/AEf4di+/xpVohmlPKrxHkInjMP/9AnBv9t+SyEQ1tt7voI3eY6VAWACZUPIw1ENR6Oa5kQPF/WiQeFx2zElo8aCqHlwd/EwrIE+hE5AZ77Dsv25XVzs8/+udgDZ9mMa28JuRFmyUWmexPOIyHZm2zvBBETz3cQ1wcW8YFvXtt9EAXaGFtUgzzPJ5MeS++T9k3hmExgceRyaJd8iii9a41qaeriKsdw/UQ1g6Oyb3kFnehcUw334FuCP7v8vPMK7In1WQyejgGv8v7O92fn8fQ5F57USyVd5QD6Eu4yeUysNCyKNpI99eBsXBOrTe+dxdPnVPQJs/kDxWTvTf30K+1kWsoXFeGYbXO511yJfmrK28XBvda4I34msAe7q2t6P/tyQaFF7Ot2cWEmEaMmnt0sQx4ynj0pwNHJ399w5wf73zvx3f63gUmXQUVVaaQ4rQGcBFmWB4EMWZGlJxrXpNKFsfxZV6Fc0jKBS2McB/gCPrnc/d4dOL2Y+/ALub2R9Qw3AVsIyZ/Rs1UkenlD6tZwI7Gg89fT0yB3ziu38NjDWz65HNefek6JRtwQjgmaQQyc+Z2TvA42Y2KKV0Mar4wMwjwKaUHjKzXsAZZvY48NuUhSM2s94ocuqOZvZ3NCZxnpl9lFK6PaU0xszWbKPn6nSklF40swVTSn+v2J/MbAIaID4bDaIX62XsgXrNvczslKRouTN9F+2Q9mRmqyHlYCdUbiYAm5nZnSmld8xsZWQCC9qZ2SY2kZkNBP6ZUvrCzMagwbTzkTBYE3WZ300pvdSRsYbqjZkNTyl9amYHIZv7YcCrKaXPzGwQ6o7/K6X0k1bco0F+mtlkZL/eCfhvSulLM7saDeiv3BJhbGZDU0p/qNg3EmmOc6FJgx/49zFoNvUBKaX3K681u5HF7jEoG3UXgtchb6E/oDkehtwy/4k08FfqlOYeaNznbeDzlNIY3781CtT4G+Tm/Bvf323qbL3osusZmNl8Zra9mc1pZsNRI7CKB9x6B024OQL5YP8gpXRdSukl6HgNqKPJYr4vB5xqZtullM5HNvzjUI+gd0rpbyml51ojCOArDW99X2hks5TSk6ixuRy9kykoIN30lvbKqgiC/kjT/TbSHHdHDcj7yHFgDAp+N9tTlOfkmNkUM5uWUvoRMpNujhajuR4NJO8D/LUegqAom57ez1BPYE4zO9f33YbGekYh76Hi2Nm6znYGumzPwMx2QIHJnk4p3WBmx6EBtW8Bb6SU/mdmF6NByAnAz1I3Wu3IzDZCQdnmRLH7r0op3Wxmh6AJYEemVq6ilmmkY1FP7G40EPhxSulYMzsFeS+NBb6VUnqgNfercv9B6J1f4veeBzg3pfSumS2UKlbw6i6Y2bXIbfdi1KD+F7gnpfSmv6t/p5Q+qEO6ivIyEfVIf560WNFQ5NV2V0rpMD92/pTSbzs6jd2aeg9atOYDHIrMQFv49mEo2uZ6yCRxJVUiWM7uHzpwbWXkoXQ5PmMVeSndhFYdK44p/NjbZYAShaw+Dw1Uv+T7erbHvTrzh3JQfjSa5Leuv4vfool8dVnTGc10LhTPqcjleHvUWzna9w9G8YYuqHc+dtdPVzYTTUGRNhdDawZvl1I6B80+3Qp5UNyftA5qd6Mj11YeiiavrejbHyPXxcVNy06CKj3Ja31bk6TlHoPciA/3fd3CRFTgNviDfZC9J5qXMRZFML0GjassXYd0jUEuy/Ob2WCkiGyKBNTvgSlmdmpK6U9oAfu7OzqNgeiSZiLTYud3oWBa75rZvmjCymMppbv8mMEppT9114EnMzsUrX17d0rpLTNbD00o+xfwtZTSv1t43aKrPxTZnT9zk9QFwNdTSo+4XXgx5NdfjwV6uuU7BzCzk9G4wN+Ql9U+qJc4NKX0uw5OiwGnoRnpF6EYVF+inuvVKaVVzWxV5AF2lCtz3fr91ZOu2jP4DGk/ueabgOPMbHfXktpVG+0C3IZiL51tZqciz6ozUXd8iZZe1AXBDOC7wLVmNiNpLOBg4AIz2ySJD+shCIo01uO+HU0+GOvut6SUTkTzCH6Nxm/2RqE6OlQQeFoSCv2yCIoJNiql9HsUHeAvftg/UG/+6Yrzgg6mS84zSCn9xcxuByaZ2Z9d870TzXJ9NnWjgeJapJR+ZWZnoYlfY9EatgOQl0aLB+ZMy3KegEwy5wEnufvqZWbWB7jYzJ5PFd4/QduRac4DkLZNSulzM+uVUvo8pfQs8KyZ/Rr4MqX03zom9y9osPh5yvbmTeC3ZnY/EhQHpJRerVP6AqdLmokAzGwE6gKvilzRNkVhkZ+uY7I6LdZGayu7F9dHqFd2PHJX3AW4OaV0rpnN59pf0I6Y2QYo7tBzaH7NhRX/f2VqqafZxcyGoJXY1kSzz59I8iBawPf9NqX0w3qkLWhIlxUG8NXi7aujaIyvppSeqXOSOi0+F6NPSunnLTx/GWDTlNKpZtYPLbN4bErpp2Z2Nxq0Pjyl9Mu2S3VQDdPM4ktQqI/9UdjvHVs6DtQR+BjTbsjV+AcppfvqnKSggq46ZgBASukfKaXHUkrfCUHQNCmlT2dVEOQ2aTRGM8LMlkR+6wOA/U3hAvoD3w5B0GEMR27UPZAHzqEppX+b2eL1TFRFecn393Cz4dXAX4F1zWxYR6YtmDldumcQtD9mNh5YIaV0uZmdDfwhpXSWz27+Jlow5pTQ9Nof97z5Egni7yG//Ek+hjYFhQU/I6X0rzqmcT0UXPBe4L1i4NoFwpduNhqYUvppvdIYVKdLDiAHHYNVDwJ3vpm9543/Zma2QErpN+EO2L641j0emVlOQyE35gR6uNnoO8g9s56CYKyn7TkUDO8NM7s9pfRzFwQ9Ukp/REIs6GR0aTNR0H6YgsDNjWL/vI+8h75Enkj7FyaJ5IHEQhC0L56/H6L5NABnAb8EHkLrRByTUnqglqmmvSjuZ2bzo9nn304pHQzcgsxZW5nZwv4M3d7LrzMTZqKgEaYgcMehkMJXoglMO6PQH5uhQctJKaWP6pbIboKZLQtMTAr9jcfb6okmDiZTtN4vUkr/rFfvzMw2RAPav0Urkq2a7d8ECa1zU0r/6ei0Bc0nhEFQlQgC1znw2d3HoLUobgH+BEwGbkopfdLUuR2BmS0FnIzMQ+8gN+/3U0pb+//TgE9SSu/WL5VBcwgzUVCVpPDWTyDzUF9gBoqND5rdGrQDmdllNY/u+euU0hrAD9AEwqvQMqJb1i+VSqeZzYPm+iwF9EspfZZSGguMNrMHQIsThSDoGsQActAkKaUPzOwYFP2yv+/rVkHgOhI3/WyCJvTdBUwzs++klK4AMLO3UMTPugRgLExRbo76iykYYR9gAzP7d0rpjaSYQ2+Y2UrAazGe1DUIM1EwS4TXUPviYwDFrO4ZaMW4zYA/ppQ+92MG1GOMoLifu7Gug5ZQvQeZEPdB8cAeSK1cLCmoD2EmCmaJEAQdwt+AA9AM452SFnlZx2eBk1L6p3/XY83ijVBYk58gE+LlwL/RQjoLAJuaVh+MtqWLES8sCDoRSQvbf4jWKz4qpfSRjx2cT53rqyl0/AS0lva/gfnRutMX+/a5wK0ppf8LN9KuR5iJgqCT4SE/dgSmoJm8OwLfSG28bOgspmkiGiguFs/5HoqEm9Dqgp8CG4f7aNclegZBUAcyr6EVPIjbV6SU3keumt9G7pp71mNCWYGZLYKWmH3Kw0j0Bt5MKX2Motc+CRwSgqBrEz2DIOhgzKxnSukLM5uK5nFslVJ6pd7pKnBz0HpI4x8A3InmOeyetG7CIOAp4G0/bveU0iP1Sm/QNkTPIAg6CPfLxwXBMiie0OYppVfMbBEzW8xnf9eb9dHEts080NztwKLAODPrnVL6G7AucBkwLQTB7EH0DIKgA/Cgf9eiSJ6n+OIuBwG/QsHnpiK7+1UppXvrl1JhWkN7DPBwSulOMzsMuZOeBLyeUvqsnukL2p7oGQRBB+CN5xnAKmb2dbT277+A1YBXgQ38u8XrU7cVPo9gA2Ax4EAz2y5psfonUYC8FeqYvKCdiBnIQdDOZJPDvkTzB/qklP5hZqeiNYq/9PDPGwPfqHNa50NrXO/lcaj2BSaa2X+TljXtjTyIgtmM6BkEQTvjk7XWQDOL+/ncgR5Ji9d/aWZrAmcD30opPVnf1PIZch0tPJyuRo3/8Wa2Q0rprM402B20HdEzCIJ2xswWBY4ETvJYT72K0BLOG8C+SetJ1zXcR9KqabcDk8zszymlt8zsTmAQikgazKZEzyAI2gmP7GlostYQtGJcH3fP7FEck7SW90+h04T7uA3NJTjHTVnnA1f4/IdgNiW8iYKgjckCug1OKf3J962Bgs99AnwnpfQ/NxV1yrANZjYXsDqwLPBqSumZOicpaGdCGARBO2Bm09FylC+jiKPfMrNJwBZoDeDTwj0z6EyEmSgI2hhv9E8H9kYrkx1oZheklJ5GsYYWABaqV/qCoBoxgBwEbYiZ9UQhHLZHa0hPQzN6v2tm56aUDjGzH6eU/lzPdAZBJdEzCIJWkgWd64nGgB8EfgbsCpzoi708A8wws6VDEASdkegZBEEryAaLNwG2AvqZ2ZUppcfM7G/AUA9INxSYklL6qK4JDoIaRM8gCFqBC4J1gGPQzN0v/Bvghyiq57eA20MQBJ2Z8CYKglZiZnsAHwHzAocDO6aUPvEIn5+Z2Tw+mSvWjw46LWEmCoIWYmYro9nDCWn//wW2Syn9wsw2Q+sWHwn8FTrNhLIgqEqYiYKg5RwPnIpiDvUCfgF8ambroZXKHkop/TuEQNAVCDNREDSTSjOPmS0BHALsB8wD3AL8GhgJnJNSeqguCQ2CFhDCIAhmAV8Y/t/Az4HfA3cDd6aUbjCzvshkNDCl9Mc6JjMIZpkQBkEwC5jZAWjFr38DDwD/RCuWbZdS+r0fEwPFQZcjhEEQzCJmNhjNLj4d+CWwNbBOSuknIQiCrkoIgyCYCWbWL6X0n8JVNNs/AIWmPgFYJKW0Tt0SGQStJLyJgqAGZtbTzBYBXjCzYT5noAg9YSmlf6aUfp5S2gP4tfcYgqBLEsIgCCooGvyU0he+6MyDwDfNbI7CBFThVTQRGE/M2wm6MCEMgqACDzExwcxe8/WJ70IzjFcHKFYpy/g1sG5K6XcdnNQgaDNCkwkCp2Lw9zfAHGgxmsFokfgewJOVq5NFzKFgdiCEQRA43iNYFVgjpXSemd2MQlG/CVwJbG9mX6aUzq5nOoOgPQhhEAQN+Sewm5n1QRPL9kOuo1sBewEv1DFtQdBuhGtp0K3J1iNYE61Q9mfgJ8DRwN+A3VAwun2Az1NKn8dcgmB2JAaQg26NC4KNgAuBhYHrgI2Bs4BHgOeBKcCQlNLnxTl1Sm4QtBshDIJujZnNiRau3xD4PxRu+sWU0n9TSh+klL4OrJ1S+lUdkxkE7U6MGQTdHQP+COyMegS7pZR+472F36aUXgE+rmcCg6AjiJ5B0K3IZhDPD5BS+gfwCXAycFBK6QMfPzgD+MyP+bLG5YJgtiF6BkG3wscIpqEZxT8HLgduRPMIvmtmtwHbAkenlF6vY1KDoEMJb6KgW2Fmq6DF688AJgKj0cL196Bxg/8Bf0kpPRdeQ0F3IoRB0G0wsyHANcCXKaVNfd/ewIrAj4B73WwUBN2OGDMIuhP/QSahJcxsT4CU0hXA28AkYM76JS0I6kv0DIJuhZn1BqYCewD3pJSu9f0jU0q/rGvigqCOxABy0C0wsx4ppS99TYIngC+Bg82sV0rpyhAEQXcnhEEw25GFmFgc+Afw75TS37zh/zyl9C8zewp5EP26vqkNgs5BmImC2RJ3Hz0LrUWwCppM9ttCIPgxPWIOQRCIGEAOZjvMbGXkOrop8FtgDPCImS3ogeZ6QUwmC4KcEAbB7Mi/gW2AhdBA8cpoTYLHzGxE0TMIgqAkhEEwO/JeSuldYB3gopTSH4GX0eplo+uZsCDorMQAcjDbkZl/ErCcme2Mlq/cO6X0fv1SFgSdl+gZBF2aIvBcDa4FPgc2AM4LQRAEtQlvoqDL4wJhfeBHKaV/+r4eKaUvzawHKudfRKyhIKhNmImCLkeVRn1NYFghCKA0FeUeQyEIgqA20TMIuiRmNhFYDngc+DBv9PO5BEEQNI8QBkGXw8xWBa4E3kNupD8Ebksp/cPMlkTzCh5IKX1Wx2QGQZciBpCDLkG2Qtkg1NgfnlLaBnga9RC2NrMBwDDgZyEIgmDWiJ5B0GXwdYlPRjGFXkop7e37dwbW8n1X1TGJQdBliQHkoEtgZksDuwP7oEXsHzOzD1NKZ6eUrjeznsBLdU1kEHRhQhgEnR4zGwYcBMyPTEB/NLMJSCD0Syl9q1iXIAiClhFjBkGnJJ9MllL6HYo++gtgezMbnlJ6C61ZfJiZLeI9gyAIWkiMGQSdjmw9gnWBJVFMofuBdVEk0veAu1JKvzGzOVNK/1e/1AbB7EH0DIJOhwuCTYCzgS+A/fz308CdaAH7rcysD3ItnVlYiiAIZkKMGQSdDjObH9gS2BxYFZgHuYxeAByAvIk+TSn9rzgnZhcHQesIM1HQqTCzNdA6BC8BcwHfBTYDFgauAZ5MKe1ZtwQGwWxKmImCToOvWXwymi/wU2BO4ImU0s9QOOo7gEvql8IgmH0JM1FQN8xsKLBiSukxFwQXAG+5IAAtZr+lRx7dFtgxpfTjOiU3CGZrQhgEdcFdQbcDlvHB38eQ6+hyZrYo8ElK6Q0z2wwYBdydUnq2fikOgtmbGDMI6oZr/MehweFrgB8DlyHz5anAL2LR+iDoGGLMIKgnE5G30AQkFNYEvoZWJzsVDSQHQdABhDAI6oKZjQK+AxwMTAVeBbZBcwj2A/6DvImCIOgAQhgE9aI36gH8NaX0a+BqYDRwOrBmSmmPlNKbdUxfEHQrQhgE9eJjtCjNDmY2LKX0KXId/Z1/giDoQGIAOagbZrYxGi9YFHgEmYf2Syn9qK4JC4JuSAiDoF3Jgs71rrb6mJkthQLQjUKzix/r8EQGQRDCIGh/zGwaavD/D7gJ+LjSZdTMeqaUvqhH+oIgiDGDoJ0xs4nAmSjG0A7AgSjQXANCEARBfQlhELQLWUjpCcA3gIHAn4GzUkqfmVnfuiUuCIJGRDiKoE0pxgiykNIfA19Hs4y3Sin90sx2BIajNQqCIOgERM8gaBPMrGc2WLyima1qZsNRKOrBwKXAn8xsBdRTeKuOyQ2CoIIYQA5ajZktAOwDfBuFl7gJeBBYCS1SMxLYGVgQ6Aucm1K6txAe9Ul1EAQ5YSYK2oJ/A2sBg4DPgC1TSs+a2f7AQ8BGKaXdfQWzXimlX4UgCILORZiJghZjZr3NbEBK6S/AjmhcYC2gt5n1SCldhNYo+IGZjU8p/Tal9CuIZSqDoLMRPYOgRZhZb2Ad4K9mtgSaNHYwcD4wHXgH+F1K6WL3LOpfr7QGQTBzYswgaDFmthFwDOoRHJ5SutvMBgNXAh8B56WUfpMdH6ahIOikhJkoaA2PAr9E7qN/M7P5Ukp/AnYHlgMON7M+xcEhCIKg8xI9g6DFuPmnB1qHYAPggZTS7WY2AHkQzRFrFgdB1yCEQdAsfIygd0rpX2bWP6X074r/90SDx78F9gImppRiLkEQdBFCGAQzxcx6AZORC+lCwNrAgSml/+TjAGa2IVqg5uOU0uP1Sm8QBLNOeBMFMyWl9LmZ/RcFnBsOHJJS+o//l9yN9MuU0iPFOUVsohgnCIKuQQwgB02SNepPI3fRj4HPzWxYcUxlOGrfl0IQBEHXIcxEQU2yWEMjgV8DfYDVUOiJh1NK15vZIsD/islkQRB0TcJMFNTEBcF04DjgGeAvwHloMftdzWx5YDdgGhDCIAi6MNEzCGpiZmsAlwGbAocCawDPAkcCiwMrAr9MKT1VrzQGQdA2xJhBUBUfKxiGVidbHJmHjkdhJ76DQk1cF4IgCGYPQhgEVfHB3/uB94HNgd1TSg8Cf0Srlg2pY/KCIGhjYswgqIm7lPYGFga29fkGiwL7p5Term/qgiBoS2LMIKgZQC7zJloUuAb4D3BFSunODk9kEATtSgiDAAAzmwJsAdwDvJVS+qXv750tYN83pfT3iD4aBLMfIQwCzGxZFHb6+8AI4F3grpTS+/5/j2oTy4IgmH0IYdBNqZhQtjIwV0rpBjNbF5gK/Bm4J6X0bl0TGgRBhxDCoBtjZhugHsFPgeEppSV9/0RgK+D3wDkppX/WL5VBEHQE4U3UTTGzpdDs4Y1TSq+b2Q/N7LGU0pSU0jNm1gP4NARBEHQPYp5BN8PEQGAPYAwwFCClNAHoYWbP+fb3U0rv1S+lQRB0JCEMugl5SOmU0t+BS4AngElmtor/tx7wpZmtWr+UBkFQD2LMoBuQDRZvgILKfYhmF38JHIAWrXk4pfRCHZMZBEEdiZ5BNyCLPnoaij66LnAFMBeKQjoPsLGZDSp6EEEQdC9CGMymmNkwM9vFf/dFy1ZuDfwPzSV4DgmCOYGzgBtSSn+LyWRB0D0JM9FsiGv3M4AtgadTSleZ2byoB3ATsBPwD+Bh/54aXkNB0L0J19LZEDcLPY3e74ZmhguEOYBPUkofmtk4tDbBZSEIgiAIYTAbk1K6w4cANsgEwmAzux0tVLNXRB8NggBCGMxWZF5DSwCXmdkFmUCYZmZ/AjYAlgZ6pJTeqmd6gyDoPIQwmI1wQbARsD2QgAPNrE9K6TYz+xINIA9JKV1Z14QGQdDpCGEwG2Fmw4EzgW3R4vXjgd3M7L8ppbt8cZqYVRwEQSNCGMxe9AT+lFJ6E8DM/g1MBI4ws/+llG6ra+qCIOi0xDyD2YiU0q+AX5vZ5b4GwZ+Al4FXgBlmNl9MKguCoBohDGYTPMoowDH+/ZSZ7eTbTwBzAz1jUlkQBNUIYdDFMLPhZjaqcn+xEllK6RMUb+j7wEg0mPwHYDQaVA6CIGhEzEDuQpjZ0sB9wGHAk8VkMTMbmlL6Q41zJgDnAnuklF7vsMQGQdCliJ5BF8HM5gROB05NKd0H/NvXJhgH7F9xbP5e/wNsHoIgCIKmCGHQRUgp/R/wO2BB31W8u1+jCWXLZGsWfJmd93JK6RcdmtggCLocYSbqArhn0JdmtjZwErA88CrwGfAJsBHwjv8+NqX0t3qlNQiCrknMM+gCZIPDPzCzTYDj0UplfYDP0eI0vwReD0EQBEFLCDNRJ6cw/fj4gCEBvgmwQkrpQ2AYsD5aqewH9UtpEARdmTATdVKyoHMDfc3i/L8ZwDXAHcAE4IiU0oP1SGcQBLMHIQw6IZkgWAc4Dti20nXUzMYA/YDPivATQRAELSXGDDohLgimAecABvTO//cB5XfqkrggCGZLYsygE5GND6yEBMEWwL3AshWHRncuCII2JYRBJ8DM5jKzZb1HsBqwCrCda//z4XMLzGyMmS0a8YWCIGhrQhh0DgYA3zWzi9Es4xdSSj/x/14G/mJmSwHXAUPqk8QgCGZnQhjUETMbZWbrpZR+C1wG7Am8nFJ63cx6+mH/h0xGtwInp5RerFNygyCYjQlhUF9GAn81s4HAx8CuwF5mtldK6Qs/5ufAp8DhKaUH6pPMIAhmd8KbqA6Y2fzAqmidgS+BR4DLU0o3m9nPgIfM7K/Aa8BuwEEppVcLl9M6JTsIgtmYEAb1YTLyFOrlaxNfCHzdzL5MKd1qZtOBa4F/AsenlF4FuZzWL8lBEMzOhDCoAymlm3xMYAufM3CHmf0XrVWcUkq3mdmaQP+U0i/rnNwgCLoBIQzqgC9Gc72ZfQ5sZma4QEjASW4OurXe6QyCoPsQwqCDyEJMLAccYmZPpJS+5wJgM//7Tu8x/L7OyQ2CoJsRwqCDcEGwEVqVbE5glAuIm1wg7GBmPVNKt9U3pUEQdEdCGHQQZjYMOAqtRfy+me0LrGVmn6WUbjGz3sCH9U1lEATdlZhn0HH8D+X3UN++2rcPMLONU0o3pJReq1vqgiDo1oQw6CBSSn9B6w+s43GIPgNuRxPKNjez/nVNYBAE3ZoQBh3LbUBf4GwzOxU4HzgTxRtaop4JC4KgexOL23QwHnpiDWAs8BAKUncFsH5K6Xf1TFsQBN2XEAZ1xFcyOx3YJ6X0er3TEwRB9yWEQR0xs+FAn5TSz+udliAIujchDIIgCIIYQA6CIAhCGARBEASEMAiCIAgIYRB0U8xstJm9Ve90BEFnIYRBELQzZhYxwIJOTwiDoDvTy8yuM7M3zOwOM5vDzFY2s2fM7FUze9TMhpvZ0mb2UnGS9yre8N+Njvf9T5vZaWb2DHCQmW1sZi+a2Wtm9oQHLsTMhprZ42b2YzO73Mx+bmZD/L8dzewlM/uJ/9ezDnkUdBNCGATdmSWBK1JKywN/B/YDLgS2TCmtDFwDnJpSehfoY2aL+HnbALd5pNlGx2fXnzulNDGldA7wLLBaSmlF4BbgG37MicBTKaWVgLuBhQDMbGm/z5oppRWAL4Ad2iMTggAihHXQvfllSulH/vtG4BhgWeBxMwPoiQIJguJKbQ2cgRrpbZAwqXU8QL5a3Qjg1mKiIfCJ718L2AwgpfSImf3F908GVgZe9mv3JxY9CtqREAZBd6ZyxuU/gLdTSqtXOfZW4HYzuwutVfShr1pX63iAf2a/LwS+k1K6z8wmASf5fqtxrgHXpZSOnvljBEHrCTNR0J1ZyMyKhnw74AVgaLHPzHqb2TIAKaWPkanmeEqN//1ax1dhEPBr/71Ltv9Z1OPAzKYA8/j+J4EtzWw+/29eMxvVmocNgqYIYRB0Z94FdvHB4Hlx+z9wppm9DvwERZgtuBXYEZmMSCn9bybH55yEehY/BP6Y7T8ZmGJmPwamIjPTP1JK7wDHAY95+h4HhrfyeYOgJhGbKAjqiJn1Bb5IKX3uPYxLfcA4CDqUGDMIgvqyEPJM6oGWRt2rzukJuinRMwiCIAhizCAIgiAIYRAEQRAQwiAIgiAghEEQBEFACIMgCIIA+H+cnhZVsIu31AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The fifth component\n",
    "show_component(4,0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-67-bb9a145edc8a>:16: UserWarning: Tight layout not applied. The bottom and top margins cannot be made large enough to accommodate all axes decorations. \n",
      "  plt.tight_layout()\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The six component\n",
    "show_component(5,0.05)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}