Project_Group8_final.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/byebhai8/ISSS621-Group8/blob/main/Project.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Bo_15bQ8qI2t"
   },
   "source": [
    "### ISSS621 Data Science in Business Group Project -Group 8\n",
    "\n",
    "### H&M Recommender System for Customers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import Python Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "JyOFZO8RwTE6"
   },
   "outputs": [],
   "source": [
    "import re\n",
    "import pandas as pd \n",
    "import numpy as np \n",
    "import matplotlib.pyplot as plt \n",
    "import seaborn as sns\n",
    "from mlxtend.frequent_patterns import apriori, association_rules\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load and data cleaning for articles dataset "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "YCZ4EBJcpUgm",
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "article_id                        0\n",
      "product_code                      0\n",
      "prod_name                         0\n",
      "product_type_no                   0\n",
      "product_type_name                 0\n",
      "product_group_name                0\n",
      "graphical_appearance_no           0\n",
      "graphical_appearance_name         0\n",
      "colour_group_code                 0\n",
      "colour_group_name                 0\n",
      "perceived_colour_value_id         0\n",
      "perceived_colour_value_name       0\n",
      "perceived_colour_master_id        0\n",
      "perceived_colour_master_name      0\n",
      "department_no                     0\n",
      "department_name                   0\n",
      "index_code                        0\n",
      "index_name                        0\n",
      "index_group_no                    0\n",
      "index_group_name                  0\n",
      "section_no                        0\n",
      "section_name                      0\n",
      "garment_group_no                  0\n",
      "garment_group_name                0\n",
      "detail_desc                     416\n",
      "dtype: int64\n",
      "\n",
      "Duplicate: Empty DataFrame\n",
      "Columns: [article_id, product_code, prod_name, product_type_no, product_type_name, product_group_name, graphical_appearance_no, graphical_appearance_name, colour_group_code, colour_group_name, perceived_colour_value_id, perceived_colour_value_name, perceived_colour_master_id, perceived_colour_master_name, department_no, department_name, index_code, index_name, index_group_no, index_group_name, section_no, section_name, garment_group_no, garment_group_name, detail_desc]\n",
      "Index: []\n",
      "\n",
      "[0 rows x 25 columns]\n",
      "\n",
      "Index(['article_id', 'product_code', 'prod_name', 'product_type_no',\n",
      "       'product_type_name', 'product_group_name', 'graphical_appearance_no',\n",
      "       'graphical_appearance_name', 'colour_group_code', 'colour_group_name',\n",
      "       'perceived_colour_value_id', 'perceived_colour_value_name',\n",
      "       'perceived_colour_master_id', 'perceived_colour_master_name',\n",
      "       'department_no', 'department_name', 'index_code', 'index_name',\n",
      "       'index_group_no', 'index_group_name', 'section_no', 'section_name',\n",
      "       'garment_group_no', 'garment_group_name', 'detail_desc'],\n",
      "      dtype='object')\n",
      "\n",
      "article_id : 105542\n",
      "product_code : 47224\n",
      "prod_name : 45875\n",
      "product_type_no : 132\n",
      "product_type_name : 131\n",
      "product_group_name : 19\n",
      "graphical_appearance_no : 30\n",
      "graphical_appearance_name : 30\n",
      "colour_group_code : 50\n",
      "colour_group_name : 50\n",
      "perceived_colour_value_id : 8\n",
      "perceived_colour_value_name : 8\n",
      "perceived_colour_master_id : 20\n",
      "perceived_colour_master_name : 20\n",
      "department_no : 299\n",
      "department_name : 250\n",
      "index_code : 10\n",
      "index_name : 10\n",
      "index_group_no : 5\n",
      "index_group_name : 5\n",
      "section_no : 57\n",
      "section_name : 56\n",
      "garment_group_no : 21\n",
      "garment_group_name : 21\n",
      "detail_desc : 43404\n",
      "\n",
      "Index(['article_id', 'prod_name', 'product_group_name',\n",
      "       'graphical_appearance_name', 'colour_group_name', 'index_group_name',\n",
      "       'garment_group_name'],\n",
      "      dtype='object')\n",
      "(105542, 7)\n"
     ]
    }
   ],
   "source": [
    "# Load articles dataset\n",
    "articles = pd.read_csv(\"articles.csv\",encoding=\"ISO-8859-1\")\n",
    "\n",
    "# Find missing values and replace missing values if necessary\n",
    "print(articles.isna().sum()) \n",
    "# There is no missing values except for detail desc, since detail desc field is not used for analysis, we will remove in on the next codes.\n",
    "print(\"\")\n",
    "\n",
    "# Check duplicated row\n",
    "duplicate = articles[articles.duplicated()]\n",
    "print(\"Duplicate:\",duplicate)\n",
    "# There is no duplicate rows with same values for all fields\n",
    "print(\"\")\n",
    "\n",
    "# Check how many fields in the dataframe and the field header names\n",
    "print(articles.columns)\n",
    "print(\"\")\n",
    "\n",
    "#Count the unique column in articles to determine which columnd to be used as feature of articles\n",
    "for col in articles:\n",
    "    print(col, \":\", articles[col].nunique())\n",
    "print(\"\")\n",
    "    \n",
    "# Remove unneccessary field \n",
    "articles.drop(columns=['product_code', 'product_type_no','product_type_name', \n",
    "        'graphical_appearance_no', 'colour_group_code', \n",
    "        'perceived_colour_value_id', 'perceived_colour_value_name',\n",
    "        'perceived_colour_master_id', 'perceived_colour_master_name',\n",
    "        'department_no', 'department_name', 'index_code', 'index_name',\n",
    "        'index_group_no', 'section_no', 'section_name',\n",
    "       'garment_group_no', 'detail_desc'], inplace=True, errors='ignore')\n",
    "\n",
    "# Format the article_id to str\n",
    "articles['article_id'] = articles['article_id'].apply(str)\n",
    "\n",
    "# Final checks on the useful field\n",
    "print(articles.columns)\n",
    "print(articles.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Explanatory Analysis on article dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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ektYD9gVOt70ucHrdBtgOWLde9gQO7dvXfsCmwCbAfn2xHAq8te9x207w9URERERENDHRISifB34j6ft1+zXAx8d7gO0bKePFsX23pKuBVSkraG5Z73YUcCbwodp+tG0D50laXtIq9b6n1V53JJ0GbCvpTGBZ2+fV9qOBHYCfT/A1RURERER0bqIrYR4taSawdW16le3fTnQnktaiDFk5H1i5JudQJnWuXK+vClzX97Dra9t47deP0j7a/vek9KqzxhprTDTsiIiIiIgFbqI94NSEe8JJd4+kxwI/AN5t+67+Ydq2LckP9zkfLtuHAYcBzJgxY+D7iwXr9G+8rNP9bfOWn3W6v4iIiJhaJjoG/BGRtBgl+T7W9g9r8011aAn15821/QZg9b6Hr1bbxmtfbZT2iIiIiIihNbAEvFYkORy42vYX+m46AehVMtkd+Elf+261GspmwJ11qMopwIslrVAnX74YOKXedpekzeq+dut7roiIiIiIoTThISiPwBbAG4ArJF1a2/4T+BTwPUlvBv5CWeAH4CTgpcAs4B5gDyglDyUdAFxY7/ex3oRM4B3AN4GlKJMvMwEzIiIiIobawBJw2+cAY9Xl3maU+xvYa4znOgI4YpT2mcD6jyLMiIiIiIhODXQMeEREREREzC0JeEREREREh5KAR0RERER0KAl4RERERESHkoBHRERERHQoCXhERERERIeSgEdEREREdCgJeEREREREh5KAR0RERER0KAl4RERERESHkoBHRERERHQoCXhERERERIeSgEdEREREdCgJeEREREREh5KAR0RERER0KAl4RERERESHkoBHRERERHQoCXhERERERIeSgEdEREREdCgJeEREREREh5KAR0RERER0aGAJuKQjJN0s6cq+tv0l3SDp0np5ad9tH5Y0S9LvJb2kr33b2jZL0r597WtLOr+2f1fS4oN6LRERERERC8oge8C/CWw7SvsXbW9YLycBSFoP2Al4Rn3MIZKmSZoGfAXYDlgP2LneF+DT9bmeDNwBvHmAryUiIiIiYoEYWAJu+yzg9gnefXvgONv32b4WmAVsUi+zbF9j+37gOGB7SQK2Bo6vjz8K2GFBxh8RERERMQgtxoDvLenyOkRlhdq2KnBd332ur21jtT8O+LvtB0a0R0REREQMta4T8EOBdYANgRuBz3exU0l7SpopaeYtt9zSxS4jIiIiIkbVaQJu+ybbD9p+CPg6ZYgJwA3A6n13Xa22jdV+G7C8pEVHtI+138Nsz7A9Y/r06QvmxUREREREPAKdJuCSVunb/HegVyHlBGAnSUtIWhtYF7gAuBBYt1Y8WZwyUfME2wbOAHasj98d+EkXryEiIiIi4tFYdP53eWQkfQfYElhJ0vXAfsCWkjYEDPwZeBuA7askfQ/4LfAAsJftB+vz7A2cAkwDjrB9Vd3Fh4DjJP0PcAlw+KBeS0RERETEgjKwBNz2zqM0j5kk2/448PFR2k8CThql/RrmDGGJiIiIiJgUshJmRERERESHkoBHRERERHQoCXhERERERIeSgEdEREREdCgJeEREREREhwZWBSUiImKy2OH4X3S6vx/v+MJO9xcRwyU94BERERERHUoCHhERERHRoSTgEREREREdSgIeEREREdGhJOARERERER1KAh4RERER0aEk4BERERERHUoCHhERERHRoSTgEREREREdSgIeEREREdGhJOARERERER1KAh4RERER0aFFWwcQMZkcd+RLOt3fTnuc0un+IiIiYvDSAx4RERER0aEk4BERERERHRpYAi7pCEk3S7qyr21FSadJ+mP9uUJtl6SDJM2SdLmkjfoes3u9/x8l7d7X/hxJV9THHCRJg3otERERERELyiB7wL8JbDuibV/gdNvrAqfXbYDtgHXrZU/gUCgJO7AfsCmwCbBfL2mv93lr3+NG7isiIiIiYugMLAG3fRZw+4jm7YGj6vWjgB362o92cR6wvKRVgJcAp9m+3fYdwGnAtvW2ZW2fZ9vA0X3PFRERERExtLoeA76y7Rvr9b8BK9frqwLX9d3v+to2Xvv1o7RHRERERAy1ZpMwa8+1u9iXpD0lzZQ085ZbbulilxERERERo+o6Ab+pDh+h/ry5tt8ArN53v9Vq23jtq43SPirbh9meYXvG9OnTH/WLiIiIiIh4pLpOwE8AepVMdgd+0te+W62GshlwZx2qcgrwYkkr1MmXLwZOqbfdJWmzWv1kt77nioiIiIgYWgNbCVPSd4AtgZUkXU+pZvIp4HuS3gz8BXhtvftJwEuBWcA9wB4Atm+XdABwYb3fx2z3Jna+g1JpZSng5/USERERETHUBpaA2955jJu2GeW+BvYa43mOAI4YpX0msP6jiTEiIiIiomtZCTMiIiIiokNJwCMiIiIiOpQEPCIiIiKiQ0nAIyIiIiI6lAQ8IiIiIqJDScAjIiIiIjqUBDwiIiIiokNJwCMiIiIiOpQEPCIiIiKiQ0nAIyIiIiI6lAQ8IiIiIqJDScAjIiIiIjqUBDwiIiIiokNJwCMiIiIiOpQEPCIiIiKiQ0nAIyIiIiI6lAQ8IiIiIqJDScAjIiIiIjqUBDwiIiIiokNJwCMiIiIiOpQEPCIiIiKiQ0nAIyIiIiI6tGiLnUr6M3A38CDwgO0ZklYEvgusBfwZeK3tOyQJOBB4KXAP8EbbF9fn2R34f/Vp/8f2UV2+jgXpb4d+tPN9PuHt+3W+z4iIiIiprkkCXm1l+9a+7X2B021/StK+dftDwHbAuvWyKXAosGlN2PcDZgAGLpJ0gu07unwRERGTxct/cETn+zzx1W/qfJ8REcNumIagbA/0erCPAnboaz/axXnA8pJWAV4CnGb79pp0nwZs23HMEREREREPS6sE3MCpki6StGdtW9n2jfX634CV6/VVgev6Hnt9bRurfR6S9pQ0U9LMW265ZUG9hoiIiIiIh63VEJTn2b5B0uOB0yT9rv9G25bkBbUz24cBhwHMmDFjgT1vRERERMTD1aQH3PYN9efNwI+ATYCb6tAS6s+b691vAFbve/hqtW2s9oiIiIiIodV5Ai7pMZKW6V0HXgxcCZwA7F7vtjvwk3r9BGA3FZsBd9ahKqcAL5a0gqQV6vOc0uFLiYiIiIh42FoMQVkZ+FGpLsiiwLdtnyzpQuB7kt4M/AV4bb3/SZQShLMoZQj3ALB9u6QDgAvr/T5m+/buXkZERERExMPXeQJu+xpgg1HabwO2GaXdwF5jPNcRQPd1tSIiIiIiHqFhKkMYEREREbHQSwIeEREREdGhJOARERERER1KAh4RERER0aEk4BERERERHWq1EmZERExxL//+8Z3u78TX7Njp/iIixpIe8IiIiIiIDiUBj4iIiIjoUBLwiIiIiIgOJQGPiIiIiOhQJmHGqK465JWd7u8Z7zih0/1FREREtJIe8IiIiIiIDiUBj4iIiIjoUIagRMQC8f7jt+10f5/b8eRO9xcREbGgpAc8IiIiIqJDScAjIiIiIjqUBDwiIiIiokNJwCMiIiIiOpQEPCIiIiKiQ0nAIyIiIiI6lAQ8IiIiIqJDkz4Bl7StpN9LmiVp39bxRERERESMZ1In4JKmAV8BtgPWA3aWtF7bqCIiIiIixjapE3BgE2CW7Wts3w8cB2zfOKaIiIiIiDHJdusYHjFJOwLb2n5L3X4DsKntvUfcb09gz7r5VOD3j3LXKwG3PsrnWJCGKZ7EMrphigWGK57EMrphigWGK57EMrrEMrZhiiexjG6YYoEFE8+atqePdsOij/KJJwXbhwGHLajnkzTT9owF9XyP1jDFk1hGN0yxwHDFk1hGN0yxwHDFk1hGl1jGNkzxJJbRDVMsMPh4JvsQlBuA1fu2V6ttERERERFDabIn4BcC60paW9LiwE7ACY1jioiIiIgY06QegmL7AUl7A6cA04AjbF/Vwa4X2HCWBWSY4kksoxumWGC44kksoxumWGC44kkso0ssYxumeBLL6IYpFhhwPJN6EmZERERExGQz2YegRERERERMKknAIyIiIiI6lAQ8Fhp1ZdSIiIiIoZYEfAIkvUJS3qtRSNpH0rIqDpd0saQXNwrnj5I+K2m9RvuPiAVM0iKSXts6jh5Jn5f0jNZxDCNJz5O0R70+XdLarWOKGFZJKifmdZTk7jOSntYyEEnTJJ3RMoYR3mT7LuDFwArAG4BPNYplA+APwDcknSdpT0nLNoplNkkrSHpW6zj6tYyp/g2/p8W+RyNpCUmvl/Sfkv67d2kQxzRJn+t6v2ORtI6kJer1LSW9S9LyXcdh+yHgg13vdxxXA4dJOl/Sf0harmUwkv69PwZJy0vaoUEc+wEfAj5cmxYDvtV1HGOpB3LNvg9qJ9Wuvc8WSWtI2qRBHE+RdLqkK+v2syT9v67jGBHTNElPrO/JGpLWaBTH47rcXxLwCbC9K/Bs4E/ANyX9piZ3yzSI5UHgodYf+n1Uf74UOKaWgdQ49x8Y23fb/rrt51K+CPYDbpR0lKQndxmLpDPrmYEVgYuBr0v6QpcxDGtM9W945673O46fANsDDwD/7Lt0qr4vz+t6v+P4AfBg/d85jLLo2bcbxfILSe+XtLqkFXuXFoHY/obtLYDdgLWAyyV9W9JWLeIB9rN9Z198f6d89nXt34FXUv93bP8v0Pl3ZL/6e1lW0mOAK4HfSvpAo3AOATZnzmff3cBXGsTxdcpB0r8AbF9OWUOlCUnvBG4CTgN+Vi8nNgrnPEnfl/RSSQPPYyZ1HfAu2b5L0vHAUsC7KR82H5B0kO2DOw7nH8AVkk6jL1Gw/a6O4wC4SNKpwNrAh+tByUMN4uiNAX8ZsAfli/HzwLHA84GTgKd0GM5y9W/mLcDRtveTdHmH+x/2mM6V9GXgu8z9N3xxg1hWs71tg/2O5hJJJwDfZ+735YcNYnmorrXw78DBtg+WdEmDOKCchQTYq6/NwJMaxNL7rHlavdwKXAa8V9LbbHedzIzWkdbiu/1+25ZkgJr0trZe/czbBfg5sC9wEfDZBrFsanuj3v+Q7TtUFhDs2tK2LxiRXz7QII6efYCn2r6tYQw9TwFeCLwJOEjS94Bv2v7DIHaWBHwCJL2SktQ9GTga2MT2zZKWBn4LdJ2A/7BehsGbgQ2Ba2zfU0/h7NEolj8CZwCftf3rvvbjJb2g41gWlbQK8FrgIx3veyzDFNOG9efH+toMbN19KPxa0jNtX9Fg3yMtCdzG3O+DafP//i9JOwO7A6+obYs1iAPbQzOWWNIXKe/H6cAnbF9Qb/q0pN83CGlmPZPV603di5Jkdu17kr4GLC/prZQk5usN4ui3mKTFgB2AL9v+V+8AoYF/1QO33gHKdNp0Vt0qaZ2+OHYEbmwQR891wJ3zvVcHXBbGOQ04rZ7R+hbwDkmXAfva/s2C3F8S8Il5NfBF22f1N9aE881dB2P7qK73OY7TbG/T27B9Wz1q3GacxwzKs2z/Y7QbGpwd+BhlhdZzbV8o6UmUA4SWejGd0zom261O14/mecAbJV0L3EcZQmXbnY+Rt93q4HU0ewD/AXzc9rUqE+qOaRWMpPWB9SgHKQDYPrpBKJcD/8/2aMOUOh/TC7wT+C/K2SQoCcReY999MGx/TtKLgLuApwL/bfu0ruMY4WvAnylnKM6StCYlvhYOAn4EPF7Sx4EdgRZjr/eiDCl7mqQbgGuBXRrE0XMNcKakn1E+fwGw3fnwyNqBuCtlLttNlP+tEygdRt+nnOlfcPvLSpiTj6R1gU8y75dRZ6djJS0JLE3pcd6SOeO+lwVOtt3ZZFVJB1OP5kfTaGhOzIeklwHPYO6/4Y+N/YiBxbHmaO22/9IgliUpZ5VGvi9v6jqWGs9SwBq2W/Ts9sexH+VzZj3KcLLtKAeSO3YYw0bj3d5o+FQ8TJIWtd3pkAuVKmqbAbdTOqcEnG776o7jmAZ82vb76xChRWzf3WUMo8Q06nwF2x9tEMsfKJ0MR9q+fsRtH7L96QW5v/SAj0PS3Yyf2LWaUX0kZZLNF4GtKD1VXU+ofRtlLPwTKac7ewn4XcCXO45lZv25BeULutcT9BrKEKHOSXoKcCiwsu31VSqOvNL2/7SIp8a0NuWIfi36/vdtv7JBLF+lHMBtBXyD0ht0wbgPGpy3AGcBvx6jV7NLxwC/A15COWOxC6XqRuckvQL4HLA4sLakDYGPtfh7ofx9bABcYnsPSSvTfYWNz9efSwIzKL2qAp5F+QzavMtgJH3J9rsl/ZRRvqe6+j2N8z3ZO5PUsvLIe0dpvlPSRbYv7SoO2w9J+ortZ1P+v5uw/aCk59XrrT/rgDaJ9mjqwclPbR8w2u0LOvmG9IBPiKQDKGOkjqF8qOwCrGK781JlNZ6LbD9H0hW2n9nf1iCWdzaYhDoqSecBz+v1btSxf2fb3qxBLL8CPgB8rX7oIulK2+t3HUtfTJcBhwNX0Df20PavGsRyue1n9f18LPBz289vEMselIm6m1MqE5wNnGX7Jw1iucT2s/vel5Z/wxdRxqKf2fpvWNIFtjepMW1F+T1d3eWZtr5YfkipPHJF3V4f2L/L3vi63+fYvkjSv412e4v/62Ej6duUg6Wf1qaXU4YQrQV83/ZnOozlc8BvgB+6YeIl6VBgVYZjojcqZZVHO4DsfD6QpN/Y7uxAOj3gE/NK2xv0bR9ak5kmCThwXz2l9UdJewM3AI9tEUitjPBc5u1VbTE2cwXKEJjb6/Zja1sLwzbTHOBe2wc1jqHn/+rPeyQ9kTLxcJUWgdg+EjhS0hMoE1TfD+xJmxJq/6o//14Tu78Bj28QB8C/bN854m+4SYUjykTD5SmT+i6iVIJaoBOiHoan9k/YtX2lpKd3HYTt3kTLDW0f2H+bpH2AThJwScvWSiOjloW0ffto7R1ZDdioNzeoDnf4GfACyt9RZwk45azxe4EHJN1LuzMEwzTRG8rnbc+SlDl3rb4rL1WHVaiSgE/MP2sZo+Mof6g706BOcJ99KKfv3wUcQOkR2r1FIJKOAdYBLgUerM2mVIvp2qcoZdzOoHy4vQDYv0EcMHwzzQEOrF9ApzL3ZJcWY1dPrAnVZyk1yU0ZitI5Sd+gDF26idL7vWONqYXDJK1AmVR3AuUgstWB/lWSXg9Mq/NO3gX8ej6PGQjb76hXvyrpZGBZl/rFLVxe/2Z6Q2B2ofSqtrI7cOCItjeO0jYo36b0LF9E+T/uP2JrViqyejx9n3WUA9yVbf+fpPvGeMxA2G5aE71nyCZ69x9I9pwrqdVwxE4PTjIEZQIkrUX5MNuiNp0DvNv2n1vFBCBpadv3NI7hakqt1aH4Q6q9mJtS/mkusP23RnE8iTLT/LnAHZSZ5ru2/JuR9EnK7O4/Macn0y1O9fVTWW1xSfctJtLx/n9EmcvwW0qv4Vm2r2kRyzBRKbP6Ecoqt6JU0DnA9r0NYukN/XuS7Y+prJT3BM8pAdhlLEsCb6cc4EOZP3Bo1++LSonI11Oq+Jzdd9MylBruLSpRDRVJ/0VZs6M3nOwVlAPbzwOH2e6s+ofGKIXrEdXVOohj2CZ69585WQR4DnCQ7ae2iKdLScAnIUmbU8byPtb2GpI2AN7W10vUZSzfB95lu3XvLjC7Znvvg+5Xtn863v07iGcoZprXWGZRDpbuH4JYlgbeR6mw8dbaw/pU261WQKMOI3gJ8B5gmu3VGsSwMvAJ4Im2t5O0HrC57cO7jqUvpscCeIwSnx3FcCjloHFr20+vZwlOtb1xo3gWp5TaM/B72/+az0MGEcOalLJon6QsMNNzN3B5g0ofp49M+kdr65qkjSkdIVDKws4c7/4DjKP/u2hJSsnKi7ruAKnf2b+jHLzNnuhte58u4+iL59q+zQconVUfs31Og1g6LZ6QBHwCJK1GWWyn1wN+NrDPyDI1HcZzPuU0+QmtJkf1zbxfhlIj8wLmHtbQorLGp4CNKatfQhkqdKHt/+wwhl1tf2uM2fdNapv2SPoxsKftm1vF0BfLdymnrHerH3RLU6qQbNgglpdTJmG+AFgeOI8y8fGIBrH8nFLl6CO2N5C0KKXyxzMbxPJMylCyXg/VrcDutq9sEMvFrqsI9n3mXTZibk5XsWwJHEWpLy1gdcr70mlP5oiY1gTWtf0LldKRi3Z10K8hKkk7FkmPZ+7e3r82DAcASasDX7L96o73OxQTvSWtMQy/h35dF0/IGPCJOZIyzu01dXvX2vaiVgHZvm7E5KgHx7rvgHyu4/1NxEspE5IeApB0FHAJ0FkCDvSWXx6K8X4jLA/8TtKFND5YAtax/bp6Gr23qJXm96AB2ZZyUH2g7f9tFEPPSra/J+nDAC5LwXf9v93zNeC9ts+A2Ylnb1hV14ZlFUEowxde7FobvfaafYdy6rxzKqtO7kk5UFqHMvHwq3S3GNowlaSdSz0j+nlKbDcDa1B6f5/RMq7qeqDzybsMz0TvHwMbAUj6QdcHImPotHhCEvCJmV4rJfR8U9K7WwUDXFcrj7geve5Dx7WCh7jE1fLMqYKyXNc7t/21mijcZfuLXe9/PkZd8KCR+2tPXS+hWoe5J0t1xvbedejHxiqLrVzQ8CzBP1VWY+u9L5vRbpnmx/SSbwDbZ9YhVS0MyyqCAIu5b2Ei23+on8Ot7EUZznB+jeePtce3E7UCy4EaopK0fQ6gLIDzi9rruxWlA61zmnvBuEUoZ45bTPbuTfT+f7Sd6N2f5bacqNuv0+IJScAn5jZJu1J6OaAMbbitYTz/QZkUuiqlBOGpNFh6GMZchOFOysIU7+t4MtsnmbcKyr7jP2TBc1nsYGfKQklDw/avRpyqXhqY1iic/YGTgdUlHUsZ3vXGFoFIeg3ljM6ZlL+bgyV9wPbxDcJ5H+VLcR1J5wLTKclmC9fUSWy95ed3pSwb3Tnbx6rUAO+tIriDO15FsM/MUaqgNBlXXN1n+/5er10dttRibOnjJU2z/WCNY1nKWaWWVTf+Zfs2SYtIWsT2GZK+1CiW/r+RB4Dv2D636yBs96pNnUXbxNdjXG9pL8pZvqdJuoFaPGFQO8sY8AmoScvBzFnp7FzKxMMm45ckLdmiEsFoVBYpup4yREfATpTToBcDb7e9ZcfxrEIZB27K+O9WVVC+CCxGWZWzv55os+Wq+09V216nTnz8aqtJUrWndzPK3815tm9tFMdlwIt6vd51eMMvWowvrvtflDLBTzSa4FfjWAH4KKXKBpRhOvvbvqNBLAcwJKuVqlTt2Yu535dDbDc5gyPpM8Dfgd0oK92+A/it7Y90HMcnKJOY9wBWpgw/Odh2s2Eokn4B7EDpnFmJMgxlY9udD6OStI9Hqdc+sq2DOD4BfMb23+v2CpTOsk7PKNWhdf+kfM4tBfQqug3DCqqdFE9IAj4JqVSz6NUsPhs4x+1KuM0zEUrSpbY3bDFJStKrKF+MprwvP+py/31xnDFKs7ue8d5P0qXUU9V9E0xmr6bacSzfopT8O9t2s6WZayxzvQcqi1xd1uh9OYf6vlAqNjSvnjMMNESrldZ4FqeM332IcpDUrLJQ/Xt9M3OXi/yGG3y5S9oGOJFSevUFtmd1HcOIeB5DWfRrEcqZiuWAY213fga7N5F4RNvsScUdxjHPPkeLbSqqB9evZt6FBT82kP0lAZ8/lZrOB1J660xZge09HQ+vGBnTGpQvpC0okw//3qiCxG8oQy16p+t3pEzc2qyXiHcYyyHAk5kzVOh1wJ9sNxmeM2wknW97075Z8IsCF9t+VoNYtqL8/T6fcsbkEkpC1WlvUI3ls8CzmPvv5nLbH2oQy9rMeV82o4yLP9v2exrE8hTKKnVrMfeXUcuDyP7VSldwg8VNJL2MMsnxT5SEd21KGdifdx3LMFGpc30oZWjOMymrEL95CCY2AyBpJeC2rg9MNGT12iVdTjkLcF/dXgqYaXsYJqY2pbLI152UycSzJ7/b/vwg9pcx4BPzbeArlIL+UIZZfIey4EvnVMoibkH5kt4AuIqyOFALu1AOTg6hHJycB+xa/6n37jiWrYGn9z5gaxWUqzqOgbrv5SiTHmfXJKfUNm01oQ7gV5L+E1hK0osop6qb1EmvYzHPogwX2ooyr+EZdLd6X38sH5D0auaUGT2s1ZkT29eqLFN9f71sRZtKCVCWY/4qZYXSVpVYANBwrVb6eWCrXu9unbT1M6BJAq5SRvMAYE3Kd3qrU/ifA15j+7c1rlcBvwQ6L0NYJy9/ijIh/wDKPIaVgEUk7Wb75A7D+TVlIt9KlL+dnrtps4LqscDpknqFJfaglNUMWM32tl3tLD3gE6BaL3NEW5MatHXfDwEXAp9odQp2GEk6EdjL9l/q9prAl22/okEsPwCuZM4H2xuADWy/qutY+mKa51S17a83iuV0SsnG3zBnGFXz+uStSfoTpd72tynvy6WuZTUbxHKR7Sal9UbSEK1WKulC9y0ApDL78QK3WxRoFvAq4IoWw0764pg9AbOv7XGNhnvMpJSfXY4yqW472+dJehpl8mOnwz6GjaRtgRfWzdNsn9IynmEh6TDKvIUrOtlfEvCxac4SqR+ijGk7jtLL+zrK6c8PN4prA8rprBdQ6pr+kbLqY2er5Un6oO3PaO7SSrPZfleHsfQWBVqO0qN6Qd3elPLFuGVXsfTFNM/wm66H5Iw0LJOA6n6/SKmbfB9lUvNZwG9s/1+DWF4FfJpSC1c0nAQkaR/K//bqlHrFvWTzTx3G0Pvcexdl0tqPmLtu/O2jPa4Larhaaf07gbL+w5rA9yifM68B/uoGKxHXuM4Atml1oNYXR6erCM4nltmftZKutv30vts6HXct6Rzbz9O8FcOaTzaMuUn6LWUY67WUz7ze72ggwzSTgI9DZYlUw1z1Kntsu1kJH5XloZ9HGYayaw1ozQ73/3LbJ0rafbTbbXd2SkvSv413uxvULK9j4z/gupyupC2Az9nefPxHDjSmoZgENGL/y1DKD74feILtJRrEMAt4hduVtZtH/f/eg/K+rGa7s3KRo3zuzfUl0eJzT0OwWmnfKfvR2Pabuoqln8pS6wdQDtb6D5Q6XXVXHa8iOJ9YZn/Wjfzcy4TDGEs9az6P3ln1BS1jwMdhe+3WMYymnl5bgjK27GzKbPOB/IGM413AiV0m2mNpkWBPwNuBo+pYcFHGIr6xRSB9k4DWlnRC303LMGfRoq5jeiflAPI5lCW9j2DuCUpdumlYkm9Jn6e8L4+l/H//N92/L68DrrN9Y41pd0plgD9T6re30Hy1UretZz2ejwP/oCy1vnjDODpdRXA+NpB0F+Wzd6l6nbq95NgPGyyVRdpWZu5JzUO1HPtUZvsvdYTB82vT2bYvG9T+koBPMnUc74G2j5nvnQdrpcb7H2q2L6V8CSxbt+8a/xEDNWyTgKAcQH4BuMh2qy/pnpmSvktZGrm/B/GHDWL5DaVG700N9t3zVer40FrZ4pOU+tIbUsbTdr4wkO29azzL9g2RaTocZog8sUUv8yg6XUVwPF2eMZqo2umwH2UicW+4kCkVmLqOZSlgDfet6BqzhwC+Feh99n9L0mEe0AqvGYIyCUmaaXtG4xiuoZweH1Wj5GVo1H/kIylJ7teBjYB9bZ/aNLAhIekY22+YX1tHsYw2tKDJkAJJp3tEWbLR2gYcw+wJ5pK+Atxie/+63WQeg6Q9gY8B9zJnSEzTYYDDQmUhnl+0/mxRKdd7GPBcypypa4FdGpydHUp1qNumLSaljojjFZSKNYvbXlvShpQKXa9sGdcwUCnRuLnrYl8qdeR/M6gx4OkBn486w30129e1jqXPLyS9n3lXWeyyN2g54OWMMT6eOUeQnain9o62vUuX+x3Hm2wfKOklwOMoVVCOATr/khxl8s/sm2g3CWiumrMqNclbVdx438j/HZV63J2RtCSwNLCSysp0vf+rZYFVu4wFmCZp0XpmYhvK6qk9rb4zPgCs70arpQ65twPvl3Qf8C/a/V/b9gvVt4pg1/9HQ+46So3p1vanLMh2JpSztfk9zSbmLrn6IKPnOAtEEvD5sG1JJ1EWFhgWr6s/+xeYMdBlb9BfWk06Go3tByWtKWlxN1yVrk/vn/allAODqzRicGRX3GCxkrFI+jClPNjIcZn3U3rPWvippO16w4RqpY3vA12e1n8b8G5Kqb2LmPP3cxdlSe8ufYdSM/5WyiqCZwNIejLtEog/MWep6iYkvXe827ue9Ni332H5//4BsFGv97A6nnYH1sPmGuBMST+j4WRZ4F+27xzxdZShEMWRwPkqZU8BdgAGVl0uCfjEXCxpY9sXtg4EhmZyaJNkcj6uAc6tEw37zwy0+GK8SNKplFXyPlyrfTQtEzYMbH8S+KSkT7pRGc9RfIKShL8MeCpwNGWBqc7UUpAHSnrnoMYbPoxYPq5Sp30V4FTPGae4CGUseAsfBn4t6XzmTl46K3dKmbQ8dGqFpUtt/1PSrpThbl/qanKfSm3tZwDL9ZVqhHL2ptmExyH013pZnLaTZa+S9HrKma51KQUVft0wnqFh+wuSzqRMhAfYw/Ylg9pfxoBPgKTfUWpD/oWS2A20NuQE4lkaeC9lEsWe9Z/oqbZP7DCG9W1f2dX+JkLSfqO12/5og1gWoUxau8b23+vEsdVst5r0OHQkrcqc1fsAsH1Wo1h2AD5ISbJebfsPLeKosTyXeZd/P7pVPMNA0gWU1X6voO9AdhiqMLVWx61uQJnM903KyqWvtT1uedYFuP/tKT2FrwT6qyzdDRxne8ond8M0RLLmDx+hb0E24ADb9zYNrCFJy9q+q3+Cd79BDe9NAj4BXdeGnJ9aseEiYDeXBQ+WBn7dYnLUMJK0tO3Wp6tH65U6MBOSCkmfAnairGzYG3PnLicCad5FpLahDHX4cw2my97VXkzHAOsAlzL3+9J5LMNEjevV1xgOGu/2Vr+jXl1rSf8N3GD7cDWodS1pc9u/6XKfk4mkc4Cth2SIZG+tAWz/o3UsrUk60fbLNWcNhNk3McDJ3hmCMgG1NuTzgHVtHylpOqVObyvr2H6dSn1nbN/TanzxMJG0OWW81mOBNWo9z7e5zQp1h1LKEG4AvI/SK3U00Emv1CTw75SzNvfN956DM3PE9kVNopjbDGA9p2dkpJ/XSig/pd2qnMPw9zGau+vcijcAz69n3xbrOogk3/M1FEMkJT2T8l20Yt2+Fdh92M5od8n2y+vPTof3JgGfgDq0YQZlfOiRlA+3bwFbNArp/lrHs1dvdR36vpRak/S4RqWWvkRZpvoEANuXqdQxbuGBOoF3e+DLtVfqzY1iGUbXUP6Pmv3dDunwhSuBJ9CofvIQ27n+7J830OnE8yH9e4EyKf/1lMpLf5O0BvDZxjHFvP5UL4vQdj7B14D32j4DQNKWzCkfOaV1XQY2CfjE/DvwbOBiANv/WyfVtbIfcDKwuqRjKQcCb2wYD5L+BPyMcmDyTWC9FnHYvm7EyYAHx7rvgA1Fr9Sw6Rv2cQ9waZ3s12pSXS+mLSiluXrj0Qd62nGMGH5KeV+WAX5bxzz3vy9TukbvkEw8B0DSGYxSNcL21g3CoSbdxwIbS3o5cEHXcwbq59uOtr/X5X4nkxZzkcbwmF7yDWD7zFo6cspqVQY2CfjE3F97M3s9zk3/WG2fJuliYDPKH8o+revj2l5H0nsoK/m1WrL5ujqBzZIWA/YBWi0xnl6p0fWGfVzE3BO2WjoceA8lplYHbJ9rtN+hJmlr278cUV1jNrdZ8Kt/AbIlgVfTbsl1JL2W8tlyJuX74GBJH7B9fFcx2H5I0geBJOBjGKIDt2sk/RdlXQqAXSlnJKeyJmVgMwlzAlQWvVkXeBFlWeY3Ad/uulyYpHEn1di+uMNYTgXe2ptUKGkz4CjKF8GLbb+2q1j6YloJOJCyjLYoi97s02g4TG/y7rq2f1Enyk6zfXeLWGJsks63vWnrOGJekj5qez8N0Wqlo5F0ge1NGu37MuBFtm+u29MpK2Nu0HEcnwJupe0CcUNLUn899NkHbrY/2HEcKwAfZU6pvbOB/W3f0WUcw6jrMrBJwCdI0osoZXug1MY9rUEMvdNGS1LGpF9GSTSfBcy0vXmHscxekrrWT/4ssIPtP0i60PbGXcXSF9OSw1JKSdJbKSsIrljPDqwLfHVQY8kmG0lXMG9v0J2UHvL/6fKgqSYO0yirt/YP++jsgLYvltFWLe29L++zPdV7qpobUapsEcpCMwfZfmqjeK6w/cy+7UWAy/rbOorj2lGaOx3KNdm0PHCL0UlanzKEdnYN+0EN6coQlIm7AuhNfLyiRQC2twKQ9EPKimNX1O31KWNYu3SfpN2B1SmLczy7jo1fFmg1ROdKSTdRjujPBs6x3Wrlvr0oy/2eD2D7j5Ie3yiWYfRzynCPb9ftnShj8P5GmUPwig5j6fV+93qoRPk/bzGm90vA9ZT3RZT3ZR3K/JMjgC0bxNRcnWNyHvV/2/ZVDcPpr4byAHAt0HKC9cmSTqGsYApl+NtJXQcxTOP0h9EYB27LNYjjKZRhVGsx91oDTeYwDJNacGNLSgJ+ErAdZf2BgSTg6QGfAElvAf4b+CXlS/HfgI/ZPqJRPFfZfsb82gYcw5OBfSlLiP+JMjzn18D2wLdsf7GrWEbEtQbwfMrE1JcCf29RH703rKFXv1jSosDFbrR407AZrU5xXz3jK7rovdOcpcV74/0M3EI5cButN2/gJF02cuhA72zTaLdNFZKWoBwo9f63nwpcbvvfO4xhDXe0uuRE1M/glW2fW8fI94YU/B041vafOo5nMeDtQK/y1JnA12z/q8s4htWIMwS9A7eP2T6n4zguA77KiDkvtoe1zGZn6pnZDYBLbG8gaWVKPvOiQewvPeAT8wFKD+9tUMrsUZLNJgk4cLmkb1AqjkBZNrvTFRZtzwLe0tuW9EvK2OsP2f5Fl7H0xbAa5cv5+ZR/oqsoR68t/ErSfwJL1eFL76DUMI5imqRNbF8AIGljyjAQ6G5C22iVjNYEPiJpf9vHdRRHv3vqpLreBLodgd6wqqncW/Ig8K/68yHg5nrp0o8pC2oh6Qe2X93x/kf6ErUsY52M+kOYXef5S3R7FgnK2geLAYfU7TfUtreM+YgpoHfgNkRnCB6wfWjrIIbU/9UJxQ/Us/k3U87yD0R6wCdA0q+BLV1XsJK0OHCm7SZ1M2vJnP6ehrOAQ4dl/HMrkh4CLgQ+YfsnjWNZhHJaun+53284/3DA7IT7CMqiSaLMNn8L5aDpZS3LmdVTxb8Y2UPf0b6fRJlIvDkl4T6PUqHlBuA5XfeWDQtJ91CG/n2B8rvpfGK1+lbj1HCszDnmXJuuziKN2OdoZ2+m7Fmbnv6zfS0P3PqGwLyLklj+iHaLWg0lSYcA/0kZ+vc+4B+UFa0HUtktCfgESDoaeCbwE8qX4vaUHufLofuVrGJ0KqtOPo9yYLIG8EfgV7YPbxDLY4B7bT9Yt6cBS9i+p+tYhpmk5QAajtUf1TAkWDGHyoJWz6PMq7ifcgbyLNundxhDfyLV+VLvo8TzR9vrjnHbLNtP7jiei4HX9Ia+1IPJ41u/T60Ny4Gb5iyzPtqq2ZksO4KktYBlbQ9sdEGGoExMbwWrnl7vapPFeDTvwiEATPV/IJeVL3u/q+dT6pv+G6XOc9dOpwzJ+UfdXopSFnFKrzYmaVfb3+obf91rB4bjYFbSVkCnJbkkfdD2ZzRnoaK5uMECRcOkntH6iaSnUSZGvRv4IOX/qisbSLqLksAsVa9Tt2172Q5jAZgp6a22v97fWOcstRjP+wHgDEnXUN6TNWm3JsQw8RjXuw1ieIbADC31rXpp+88j2xa0JOAT4LqCVR0TZLev5TwMC4fMo9YXXX2QR4zz2f9MYAlK79jZwAtc65Q3sKTtXvKN7X+o1AKf6noVclquJAuMWQpxReB/gd06Dqe3YNTMce81RUn6AWVex58oQ+7eAFzQZQy2p83/Xp16N/AjSbswJ+GeASxOWb25U7ZPr+VWe+UYf2/7vvEeM0UMxYFbHfZ3ne2/1e3dKLXI/0KpAz5lh6Co0UqYGYIyAZJmAEcyJ2m4k7LCYZNZwxqihUMknQm8knIwdxFlbNm5tt873uMGFMt027d0vd/RSDoXeKdrLWmVRRi+7A5rtcf4VBZK6mfgNtv/HO3+0b1e0gCsBlxCOav1auDPTPGkoaeesVm/bl5l+5cd738YVyuNEeoQoRfavl3SC4DjKCWENwSebnvHlvG1JGkf5qyEeUPfTXcDX7c9kNUwk4BPgKTLgb1sn123nwcc0qqknIZr4ZBemb23UHq/95N0eYv3po4n3o85k1N/RSnz1Pn44po4HEfpTRXwBOB1U73Uk6T/Hudm2z6gs2CGkFKjdy5JGoafJslqpVNd/4RYSV8BbrG9f92evbDeVFS/r68HdrR9sMoaJwM/0M8QlIl5sJd8A9g+R1JXpdJGM0wLhywqaRXgtcBHGuy/3xHAlTUWKKepjwRG7ZkZJNsX1vGq/adjUw+3b4nqPo+hVIx5HDClE3Dg+5Qavd9giIaXNTSt78vvdcBhtn8A/EDSpe3Cip6afC8C/Lxl9aKYr2mSFrX9ALANZaXmnqmeC36NcqB/cD3Q/yRzDvQPo5SDXeCm+ps+Ub+S9DXKSmOmfBGcKWkj6K7nuW/i2on1Z/OFQ4CPUUrsnVOTzidRqo+0sM6IEk8fbfUlLWkvymIYV9btFSTtbPuQ+Tx0oWb7873rkpYB9qFM1DoO+PxYj5tCUqN3bkOXNEj6tO0Pza9tKnGpnfxBIAn48PoOJZe5Ffg/yjyp3oJOQ1WFqoEmB/oZgjIBks4Y52Z3dXpYZZnUkVYEXkI5TdL5wiGSVhx5ekbS2i0OCCT9BviAa63kWi3mcy3GXY92Si+l7Ypaj/a9lAWkjgIOtN1p1ZFhJWl/UqN3NkkfoaxoeyultOhGtl2ThqNsb9EgptFWcW0y7G6Y1KGRtwLfpe9M11T92x1GkjYDVgFO7c11qcPeHttiCOuwkHQlsKHtByT9DtjT9lm922yvP/4zPML9JgGf/NR24ZBzge1s31W31wO+N6g/2PnEsgFwNLBcbboD2L1FVZZaYeNZrv9gKnXAL7f9jK5jGSaSPksZEnQY8JX+SjExu1bvSFO6Ru+wJA2S3k5Z0fZJzF2WdhnKxPNdu4plGOVvNyarVgf6ScDHMbJWMWXIx620HfIxqla9q5JeRqnH+zLKeOejgV1sX9p1LH0xLQtg+y5J77b9pQYxfJZSB/drteltwF9tv7/rWIaJymql91GWm+//8GlVS3koSHqi7f9tHUeMrU7yXoEyPnTfvpvuTi9vxOTW4kA/Cfg4hnHIx2hqGar/alUpQdIOlCR8GeDVtv/QIo7RSPqr7TUa7HcRynjVXgH/y4En2N6r61hi+Ek6ifLZciZwMuUgv+VE7xhHPaO1MnNXqvlru4jaq+scvBdYw/aevZrgtk+cz0MjpqQk4I9AqyEf81s4xPbvOoxl5Ip921BOy/4ZhmflPknX2V690b6fDbyeUpXlGuAHg6onGpNfXQxiS8pKj1sAf6Uk4ydP9eRumEjam7IS8U3AQ7XZGQOu71LWgtjN9vo1If/1VC5vFzGeVEF5BGpNWs3/ngvcy0eGQruFQ0au2Des9a07PcKsp6x2rpfehCRsb9VlHDH52L6XmnBDmcxMSca/LOkJtjdpGV/M9m5Kz+5trQMZMuvYfp2knQFs39PoezJGIeluxvk+nKrD/1pKAv4I1CEfnVdtcLtl1edh+ygASY8B7rX9YN2eRlkOvjPjfLAIWKrLWIDfUco7vdz2LABJ7+k4hpiE6v/OL3oHa3WeySHAIZIWbxpc9LuOlG0bzf2SlqJ+Fktah75KPtGW7WUAJB0A3AgcQ/mO3IUy9jk6lgR8HPMb8tF9REPpdOCFQK+axVLAqcBzuwqg98EyJF4F7AScIelkSn3r9ALFfNl+UNJDkpbziNVbbd/fKq6YxzWUdSB+xtylIr/QLqShsD/l7M3qko6lDKPao2lEMZpXuq6IWR0q6TJgvFWKYwCSgI9vmIZ8DKsl+0vJ2f5HHfs3Jdn+MfDjemZge8rp6sdLOhT4ke1TG4YXw+8fwBWSTmPuWspDMacigDI2/6/A4vUSgO1TJV0EbEbpdNjH9q2Nw4p5/VPSLpTOIVOGSyanaSCTMONRqXXA39kr0yPpOcCXWyx+M6wkrQC8Bnid7W3md/+YuiTtPlp7b8hXDA9JS9u+p3Ucw0LS6SM/30Zri7YkrQUcSDlDYeBc4N22/9wwrCkpCXg8KpI2phxJ/y+l1+MJlERzWCdlRkQ8YpI2Bw6n1Adeoy4A9jbb72gcWhO1es/SwBmUKj69IXfLUir4PK1RaBFDLQl4PGqSFqMswgPwe9v/ahTHp21/aH5tEcOq1k7+JLAesGSvPasJDg9J5wM7Aif0Fj8b5HLVw07SPpShdk8EbmBOAn4X8PWUXh0ukqYDbwXWYu469m9qFdNUtUjrACYDSZ+eSNtUVJPvt1Mm4OwPvK22tfCiUdq26zyKiEfuSOBQykqhW1FWlv1W04hiHravG9H0YJNAhoDtA22vDbzf9pNsr10vGyT5Hko/AZYDfgH8rO8SHUsP+ARIunjkojuSLp/qCy8ASPoGsBjQG6P6BuBB22/pMIa3A+8AnkRZDKhnGeBc27t2FUvEoyHpItvPkXSF7Wf2t7WOLQpJxwNfAL4MbArsA8ywvVPTwIaApOcyb8/q0c0CinlIujSLIw2HVEEZR39iJ+nyvpuWoUxcCNh4REmjX9aSRl36NvBzyqn7ffva77Z9e8exRDwa90laBPhjXXHxBuCxjWOKuf0HZRLbqpTfz6nAXk0jGgKSjgHWAS5lzhkBU87ixPA4UdJLbZ/UOpCpLj3g45C0HLACSezGJOli4DW2/1S3nwQcP/KMQYfxTANWZu4emCzjHZNCndR8NbA8cABlIttnbZ/XMq6I+ZF0NbCek1QMtbpw3WMoNez/RRmz76yE2b0k4BOUxG50krahjFu9hvKPvCawh+0zGsSyN2Uc+k3AQ7XZGSoUk01K3A0vSWsD72TeoRavbBXTMJD0feBdtm9sHUvEZJAEfAKS2I1P0hLMXQWlyfLDkmYBm9q+rcX+Ix6tlLgbfnWI3eHAFcz5PsD2r5oFNQQknQFsCFzA3CuETukDk2FU16ZYl7krLZ3VLqKpKWPAJ+bdwFOT2M1RT5VfZ/tvtu+TtCHwauAvkvZvNETnOuDO+d4rYnh9CXgJcAKA7cskvaBpRDHSvbYPah3EENq/dQAxf5LeQpk4vBplvP5mwG+ArRuGNSUlAZ+YJHbz+hrwQoCaIHyKclp2Q+AwSp3crl0DnCnpZ8zdA/OFBrFEPCK2r5PU3zRlS9wNqQMl7UeZfNn/OXNxu5Dam+pnACaRfYCNgfNsbyXpacAnGsc0JSUBn5gkdvOa1tfL/TrgMNs/AH4g6dJGMf21Xhavl4jJ5rpays21nv4+lEmZMTyeSSm3ujV9QxKZoj2IdVLfaGNZM7lvON1r+15JSFrC9u8kPXX+D4sFLQn4xCSxm9c0SYvafgDYBtiz77Ymf1e2PwqZwBaTWkrcDb/XAE+yfX/rQIaB7WVaxxAPy/WSlgd+DJwm6Q7gL00jmqIyCfNhSGI3h6SPAC8FbgXWADaybUlPBo6yvUWDmDKBLSY1SUvavrd1HDE2ST8G9rR9c+tYIh4NSf9GWRXz5BxQdi8J+AQksRudpM2AVYBTbf+ztj2F8j51Ph5S0vmUsecn2H52bbvS9vpdxxLxSNRKPjcBZ9fLObYz/2SISDoTeBZwIan2ERGPUIagTMyXSGWCeYy2OIjtP7SIpW//mcAWk5btJ0taA3g+8DLgK5L+nqWjh8p+rQOIiMkvCfgEJbGbFDKBLSY1SasBW1AS8A2Aq4BzmgYVs9UF2b5m+2mtY4mIyW2R1gFMEnMldpLeTxK7YfQflAlrvQlsG5IJbDG5/JWy7sDPbW9u+2W2P9k4pqhsPwj8vp6liJh0JH16Im0xeBkDPgGSVqJUJnghpbTSqcA+WZgnIhakOr/kecALKJOb/wj8yvbhTQOL2SSdBTybsuLjP3vtGQMek4Gki21vNKLt8qzs3b0k4LHQkLQ2ZTGgtegbXpUvxphMJD2WkoQ/H9gVwPaaTYOK2WrliHlkIZoYZpLeDrwDeBLwp76blgHOtb1rk8CmsCTgE5DEbnKQdBmlWs0VzFkgI1+MMWlImgksAfyaWgnFdmr0RsSjImk5YAXgk8C+fTfd3beoXnQoCfgEJLGbHCSdb3vT1nFEPBKSFgF2sX1M61hibLX86sHA0ykLs00D/pkVH2OyqJOJV2buDsW/totoakoCPgFJ7CYHSa8H1qWM0e+vz9t5TfKIR0LSTNszWscRY6tnKXYCvg/MAHYDnmL7w00Di5gASXsD+1PWG+h1KDpjwLuXBHwCkthNDpI+CbyBMr6t/4Nl63ZRRUycpE9RVpf9LnNP8Msp4iHRO0jqn7gm6ZLe4l8Rw6wu9rVpiki0lzrgE/NMSmK3NX2JXd2O4fEa4ElZUjcmsdfVn/3lM02ZOBXD4R5JiwOXSvoMcCMp6RuTx3VAVtcdAknAJyaJ3eRwJbA8cHPjOCIeEdtrt44h5usNlIR7b+A9wOrAq5tGFDFx1wBnSvoZc5/R/0K7kKamJOATk8Ruclge+J2kC5n7gyXVamJSkLQ08F5gDdt7SloXeKrtExuHFlVfVZp7gY+2jCXiEfhrvSxeL9FIxoBPgKQzgWcBSeyGWOrzxmQn6bvARcButtevCfmvbW/YNrKQtD2wmu2v1O3zgen15g/aPr5ZcBEPk6Slbd/TOo6pLD3gE7Nf6wBifLWs0tdsP611LBGPwjq2XydpZwDb90hS66ACgA9Sqp/0LAFsDDwGOBJIAh5DT9LmlLLKjwXWqKvvvs32O9pGNvUkAZ+PJHaTg+0HJf1e0hqpZxqT2P2SlqJMvETSOvSddYumFrd9Xd/2ObWSxG2SHtMqqIiH6UvAS4ATAGxfJukFTSOaopKAz0cSu0llBeAqSRcwdwm3DBWKyWI/4GRgdUnHAlsAb2waUfSs0L9he+++zelETBK2rxtxYu3BVrFMZUnAJyaJ3eTwX60DiHg0bJ8m6WJgM0DAPrZvbRxWFOdLeqvtr/c3SnobcEGjmCIeruskPRewpMWAfYCrG8c0JWUS5gRkcl9EDJKkjca7PYt+tSfp8cCPKUOCer+P51DGgu9g+6ZGoUVMmKSVgAOBF1IO8k+lHOhnYZ6OJQGPhYakzYCDgadTyitNA/5pe9mmgUXMh6Qz6tUlKcubX0b5cnwWMNP25q1ii7lJ2hp4Rt28yvYvW8YTEZNThqBMQBK7SePLlCoF36ckMbsBT2kaUcQE2N4KQNIPgY1sX1G31wf2bxhajFAT7iTdMSlJWht4J7AWfTlghtR2Lwn4xCSxmyRsz5I0zfaDwJGSLgE+3DquiAl6ai/5BrB9paSntwwoIhYqP6aUIfwp8FDbUKa2JOATlMRuUrhH0uLApZI+A9xIWTI6YrK4XNI3gG/V7V2AyxvGExELl3ttH9Q6iMgY8AmRdBZlwsI3gL9RErs32t6gaWAxF0lrAjdRhgm9B1gOOMT2rKaBRUyQpCWBtwO9urxnAYfavrddVBGxsJD0emBdyuTL/pW9M9G7Y0nAJyCJXUREREx2kj4JvAH4E3OGoNj21u2impqSgMekJ2l7YDXbX6nb5zNnYYwP2s4S0TEpSNqCMulyTeaeIPWkVjFFxMJD0ixgPdv3t45lqssY8HEksZs0PkiZJNuzBLAx8BjgSCC/p5gsDqecZbuIrE4XEQvelcDywM2N45jykoCPL4nd5LC47ev6ts+piwrcJukxrYKKeATutP3z1kFExEJreeB3ki5k7jHgKUPYsSTg40tiNzms0L9he+++zelETB5nSPos8EMyQSoiFrz9WgcQRRLw8SWxmxzOl/RW21/vb5T0NuCCRjFFPBKb1p/PqT8FGMgEqYh4VCRNA75m+2mtY4lMwhyXpGOBM8dI7La0vXObyKKfpMdTFhe4D+j1FD6HMmRoB9s3NQotYkIkvbd3tf40cAvlrNu1baKKiIWNpJ8A77T919axTHVJwMeRxG5ykbQ18Iy6eVVdMjpi6Eka7bTwisBLgP1tH9dxSBGxEKrrmjybcnb4n732jAHvXhLwCUhiFxEtSFoR+IXtjVrHEhGTn6R/G63d9q+6jmWqSwIeETHEJF1i+9mt44iIiAVnkdYBRETE6CRtBdzROo6IWDhI2kzShZL+Iel+SQ9Kuqt1XFNRqqBERDQm6QrKxMt+KwL/C+zWfUQRsZD6MmV9k+8DMyifL09pGtEUlSEoERGNSVpzRJOB22z/c7T7R0Q8EpJm2p4h6XLbz6ptGebWQHrAIyIas/2X1jFExJRwj6TFgUslfQa4kQxHbiJvekRERMTU8AZK7rc3pQzh6sCrm0Y0RWUISkREREREh9IDHhEREbEQk7S9pL36ts+XdE297NgytqkqCXhERETEwu2DwAl920sAGwNbAm9vEdBUl0mYEREREQu3xW1f17d9ju3bgNskPaZVUFNZesAjIiIiFm4r9G/Y3rtvc3rHsQRJwCMiIiIWdudLeuvIRklvAy5oEM+UlyooEREREQsxSY8HfgzcB1xcm59DGQu+g+2bGoU2ZSUBj4iIiJgCJG0NPKNuXmX7ly3jmcqSgEdEREREdChjwCMiIiIiOpQEPCIiIiKiQ0nAIyKGnKQ3Svryo3jsExd0TBER8cglAY+IaETStA5280bgUSfgkrJwW0TEApIEPCJiACStJel3ko6VdLWk4yUtLenPkj4t6WLgNZJ2lnSFpCslfbrv8XtI+oOkC4At+tq/KWnHvu1/9F3/UH2uyyR9qt5vBnCspEslLTVGrC+tsV4k6SBJJ9b2/SUdI+lc4Jj6mn4p6XJJp0taY7yYJG0p6SxJP5P0e0lflTTm946kf0j6eI3/PEkr1/ZXSDpf0iWSftHXvr+koySdLekvkl4l6TP1PThZ0mL1fs+R9Kv6+k6RtMrD+FVGRCxwScAjIgbnqcAhtp8O3AW8o7bfZnsj4Czg08DWwIbAxpJ2qAniRymJ9/OA9ea3I0nbAdsDm9reAPiM7eOBmcAutje0/X+jPG5J4GvAdrafw7yr4q0HvND2zsDBwFG2nwUcCxw0gfdgE+Cd9XnWAV41zn0fA5xX4z8L6C0ccg6wme1nA8cBH+x7zDqU9++VwLeAM2w/E/g/4GU1CT8Y2LG+viOAj08g7oiIgckpxYiIwbnO9rn1+reAd9Xr360/NwbOtH0LgKRjgRfU2/rbvws8ZT77eiFwpO17AGzfPsEYnwZcY/vauv0dYM++20/oS9w3Z04CfQzwmQk8/wW2rwGQ9B3KAcXxY9z3fuDEev0i4EX1+mrAd+uByeLAtX2P+bntf0m6ApgGnFzbrwDWohwErQ+cJol6nxsnEHdExMAkAY+IGJyRCy30tv/5KJ7zAerZyzqcY/FH8VwTMZFYx4tprPdgNP/ynMUpHmTOd9TBwBdsnyBpS2D/vsfcB2D7IUn9j3+oPl6UBUc2n8DriIjoRIagREQMzhqSeonf6ylDKfpdAPybpJXqhMydgV8B59f2x9UhFK/pe8yfKUtIQxl2sVi9fhqwh6SlASStWNvvBpYZJ8bfA0+StFbdft049/01sFO9vgtw9nxiAthE0to1MX8d874HE7EccEO9vvvDfOzvgem934OkxSQ9Yz6PiYgYqCTgERGD83tgL0lXAysAh/bfaPtGYF/gDOAy4CLbP6nt+wO/Ac4Fru572NcpyflllCEh/6zPdTJwAjBT0qXA++v9vwl8daxJmHV4yTuAkyVdREnY7xzj9byTkuRfDrwB2Ge8mKoLgS/X13At8KMxnns8+wPfr/Hd+nAeaPt+YEfg0zW+S4HnPoIYIiIWmCxFHxExALVH+UTb67eOZX4kPdb2P1QGSX8F+KPtLy6A590SeL/tlz/a54qIWJikBzwiIt5ae82vogz3+FrbcCIiFm7pAY+ImCIk/QhYe0Tzh2yf0nEc5wNLjGh+g+0ruowjIqKVJOARERERER3KEJSIiIiIiA4lAY+IiIiI6FAS8IiIiIiIDiUBj4iIiIjoUBLwiIiIiIgO/X9kfAPER4k+rAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the distribution of product_group_name\n",
    "plt.figure(figsize=(12,5))\n",
    "sns.countplot(x='product_group_name', data=articles)\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the distribution of graphical_appearance_name\n",
    "plt.figure(figsize=(12,5))\n",
    "sns.countplot(x='graphical_appearance_name', data=articles)\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the distribution of colour_group_name\n",
    "plt.figure(figsize=(12,5))\n",
    "sns.countplot(x='colour_group_name', data=articles)\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zoewK3N6GqpwB7JFks3bx5R7AGW3dHUl2be914NBrSZIkSWNpRhdhAn8JHAccw2DIyHeBv1jNPrsBrwYuS3JJq/0d8I/A6UkOAX4K/Hlbtxh4EbAM+BVwMEBV3ZLk3cCFbbt3TV2QCbwe+ATwUAYXX3oBpiRJksbaTAP4u4CDqupW+K+pAd/PIJhPq6q+DaxsXu4XTLN9AYet5LVOAk6apr4EeOrqmpckSZLGxUyHoDx9KnzD4Kw0g1lNJEmSJK2BmQbwDYZufjN1BnymZ88lSZIkNTMN0R8Avpfkc2355cDRo2lJkiRJWn/N9E6YpyZZAuzeSi+rqitG15YkSZK0fprxMJIWuA3dkiRJ0oMw0zHgkiRJktYCA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1KGRBfAkJyW5KcnlQ7V3JLk+ySXt8aKhdW9LsizJlUn2HKovbLVlSY4cqm+b5PxW/2ySjUZ1LJIkSdLaMsoz4J8AFk5TP6aqtm+PxQBJ5gP7AU9p+3w0yawks4CPAHsB84H927YA722v9UTgVuCQER6LJEmStFaMLIBX1bnALTPcfG/gtKq6q6quAZYBO7fHsqq6uqruBk4D9k4SYHfg823/U4B91mb/kiRJ0ijM7uE9D09yILAEeEtV3QpsCZw3tM11rQZw7Qr1XYDHALdV1T3TbC9JkjT2PvyWr/Tdgmbo8A+8eK2+XtcXYR4PbAdsD9wAfKCLN01yaJIlSZYsX768i7eUJEmSptVpAK+qG6vq3qr6HfAxBkNMAK4HthradG6rrax+M7Bpktkr1Ff2vidU1YKqWjBnzpy1czCSJEnSA9BpAE+yxdDiS4GpGVIWAfsleUiSbYF5wAXAhcC8NuPJRgwu1FxUVQV8A9i37X8Q8OUujkGSJEl6MEY2BjzJZ4DnAZsnuQ44Cnheku2BAn4CvBagqpYmOR24ArgHOKyq7m2vczhwBjALOKmqlra3eCtwWpL3AN8HThzVsUiSJElry8gCeFXtP015pSG5qo4Gjp6mvhhYPE39au4bwiJJkiStE7wTpiRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUodl9NyBJ65Pdjtut7xY0Q995w3f6bkHShPIMuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1CEDuCRJktQhA7gkSZLUIQO4JEmS1KGRBfAkJyW5KcnlQ7VHJzkryVXt52atniTHJlmW5NIkOw7tc1Db/qokBw3Vd0pyWdvn2CQZ1bFIkiRJa8soz4B/Ali4Qu1I4Oyqmgec3ZYB9gLmtcehwPEwCOzAUcAuwM7AUVOhvW3zmqH9VnwvSZIkaeyMLIBX1bnALSuU9wZOac9PAfYZqp9aA+cBmybZAtgTOKuqbqmqW4GzgIVt3SZVdV5VFXDq0GtJkiRJY6vrMeCPraob2vP/BB7bnm8JXDu03XWttqr6ddPUJUmSpLHW20WY7cx1dfFeSQ5NsiTJkuXLl3fxlpIkSdK0ug7gN7bhI7SfN7X69cBWQ9vNbbVV1edOU59WVZ1QVQuqasGcOXMe9EFIkiRJD1TXAXwRMDWTyUHAl4fqB7bZUHYFbm9DVc4A9kiyWbv4cg/gjLbujiS7ttlPDhx6LUmSJGlszR7VCyf5DPA8YPMk1zGYzeQfgdOTHAL8FPjztvli4EXAMuBXwMEAVXVLkncDF7bt3lVVUxd2vp7BTCsPBb7WHpIkSdJYG1kAr6r9V7LqBdNsW8BhK3mdk4CTpqkvAZ76YHqUJEmSuuadMCVJkqQOGcAlSZKkDhnAJUmSpA4ZwCVJkqQOGcAlSZKkDhnAJUmSpA4ZwCVJkqQOGcAlSZKkDhnAJUmSpA4ZwCVJkqQOGcAlSZKkDhnAJUmSpA4ZwCVJkqQOGcAlSZKkDhnAJUmSpA4ZwCVJkqQOGcAlSZKkDhnAJUmSpA4ZwCVJkqQOGcAlSZKkDhnAJUmSpA4ZwCVJkqQOGcAlSZKkDvUSwJP8JMllSS5JsqTVHp3krCRXtZ+btXqSHJtkWZJLk+w49DoHte2vSnJQH8ciSZIkrYk+z4A/v6q2r6oFbflI4Oyqmgec3ZYB9gLmtcehwPEwCOzAUcAuwM7AUVOhXZIkSRpX4zQEZW/glPb8FGCfofqpNXAesGmSLYA9gbOq6paquhU4C1jYcc+SJEnSGukrgBdwZpKLkhzaao+tqhva8/8EHtuebwlcO7Tvda22srokSZI0tmb39L7Pqarrk/wecFaSHw2vrKpKUmvrzVrIPxRg6623XlsvK0mSJK2xXs6AV9X17edNwJcYjOG+sQ0tof28qW1+PbDV0O5zW21l9ene74SqWlBVC+bMmbM2D0WSJElaI50H8CQPT/LIqefAHsDlwCJgaiaTg4Avt+eLgAPbbCi7Are3oSpnAHsk2axdfLlHq0mSJEljq48hKI8FvpRk6v3/par+LcmFwOlJDgF+Cvx5234x8CJgGfAr4GCAqrolybuBC9t276qqW7o7DEmSJGnNdR7Aq+pq4BnT1G8GXjBNvYDDVvJaJwEnre0eJUmSpFEZp2kIJUmSpPWeAVySJEnqkAFckiRJ6pABXJIkSeqQAVySJEnqkAFckiRJ6lBft6KXJGlinPPcP+q7Bc3QH517Tt8taAJ4BlySJEnqkAFckiRJ6pABXJIkSeqQAVySJEnqkAFckiRJ6pABXJIkSeqQAVySJEnqkAFckiRJ6pABXJIkSeqQAVySJEnqkAFckiRJ6pABXJIkSeqQAVySJEnqkAFckiRJ6pABXJIkSeqQAVySJEnqkAFckiRJ6tA6H8CTLExyZZJlSY7sux9JkiRpVdbpAJ5kFvARYC9gPrB/kvn9diVJkiSt3DodwIGdgWVVdXVV3Q2cBuzdc0+SJEnSSq3rAXxL4Nqh5etaTZIkSRpLqaq+e3jAkuwLLKyq/9GWXw3sUlWHr7DdocChbfEPgCs7bXR8bQ78vO8mNHb8vdB0/L3Qivyd0HT8vbjP46tqznQrZnfdyVp2PbDV0PLcVrufqjoBOKGrptYVSZZU1YK++9B48fdC0/H3Qivyd0LT8fdiZtb1ISgXAvOSbJtkI2A/YFHPPUmSJEkrtU6fAa+qe5IcDpwBzAJOqqqlPbclSZIkrdQ6HcABqmoxsLjvPtZRDsvRdPy90HT8vdCK/J3QdPy9mIF1+iJMSZIkaV2zro8BlyRJktYpBnBJkiSpQwZwSZI0I0l2m0lN0qo5BnyCJJkFnFpVB/Tdi8ZPkmcD2zB0cXZVndpbQ+pV+7z496p6ft+9aHwkubiqdlxdTZMhyctWtb6qvthVL+uadX4WFM1cVd2b5PFJNqqqu/vuR+MjySeB7YBLgHtbuQAD+IRqnxe/S/Koqrq9737UryTPAp4NzEnyV0OrNmEwDbAm04vbz99j8Pvx9bb8fOC7gAF8JQzgk+dq4DtJFgG/nCpW1Qf7a0ljYAEwv/xKTPf3C+CyJGdx/8+LN/bXknqyEfAIBrnhkUP1O4B9e+lIvauqgwGSnMngb8gNbXkL4BM9tjb2DOCT58ftsQH3/xDVZLsc+H3ghr4b0Vj5Ip7BElBV5yT5NvD0qnpn3/1o7Gw1Fb6bG4Gt+2pmXeAYcEkk+QawPXABcNdUvape0ldPksZPku9V1bP67kPjJcmHgXnAZ1rpFcCyqnpDf12NNwP4hEkyB/hb4CnAxlP1qtq9t6bUuyR/NF29qs7puheNjyTzgP8FzOf+nxdP6K0p9SrJ8cCWwOe4/7AkvymZcEleCjy3LZ5bVV/qs59x5xCUyfNp4LPAnwKvAw4ClvfakXrXvl5+PDCvqv49ycPwwirBycBRwDEMLqo6GKevnXQbAzcDwydtCocqCS4G7pz6G5LkkVV1Z99NjSvPgE+YJBdV1U5JLq2qp7fahVX1zL57U3+SvAY4FHh0VW3Xznz+/1X1gp5bU4+GPi8uq6qnDdf67k3S+PBvyJrzTMbk+W37eUOSP0myA/DoPhvSWDgM2I3BjAZU1VUMppXSZLsryQbAVUkOb18xP6LvptSfJHOTfCnJTe3xhSRz++5LvfNvyBoygE+e9yR5FPAW4K+BjwNv7rcljYG7hueGTzKbwdfKmmxvAh4GvBHYCXgVg2FrmlwnA4uAx7XHV1pNk82/IWvIISiSSPK/gduAA4E3AK8Hrqiqt/fZl8ZDkodV1a/67kP9S3JJVW2/upomi39D1pxnwCdMkiclOTvJ5W356Un+vu++1Lu3MrgY9zLgtcBiwN+LCZfkWUmuAH7Ulp+R5KM9t6V+3ZzkVUlmtcerGFyUqcl2JP4NWSOeAZ8wSc4B/gb456raodUur6qn9tuZ+pJkFrC0qp7cdy8aL0nOZ3CXw0V+XgigzZZ0HDA1F/h3gDdW1c/660pa9zgN4eR5WFVdkGS4dk9fzah/VXVvkiuTbO0fUa2oqq5d4fPi3r56Uf+q6qeAN+gSAEkuYxVjvadmW9N/ZwCfPD9Psh3tP5gk++LtxwWbAUuTXMD9b67hH9rJdm2SZwOVZEMGF2X+sOee1KMkTwA+BOzK4O/I94A3V9XVvTamvvxp+3lY+/nJ9vNVeBHmKjkEZcK0D88TgGcDtwLXAAe0sxqaUN4JU9NJsjmDsPXHQIAzgTdVlWN+J1SS84CPcN8tx/cD3lBVu/TXlfqW5PtTw9SGahdX1Y599TTuDOATKsnDgQ28S5WklUmycVX9pu8+ND6Gb+I2VPtBVT2jr57UvySXAIdV1Xfa8rOBjzo7zsoZwCdMkh8D5wHfAr5VVUt7bkk9SnInqx6/t0mH7WjMJFkG3Ej7vAC+XVW399uV+pTkvQy+PT2NwWfHKxgMYXsfQFXd0l936kuSnYCTgEcx+LbsVuAvq+riXhsbYwbwCZPkIcAuwB8yuGvVHwCXVtVLe21MvUrybgbXAnySwYfnAcAWVfUPvTam3iXZmvs+L14E3OZZrcmV5Jr2dCo8DF+hW1X1hI5b0hhpN/rDf6ivnhdhTp57GdyO/l7gd8BN7aHJ9pIVvkI+PskPAAP4BGu3GN+NQQB/BrAU+HavTakXSZ4JXFtV27blg4A/A34CvMMz35Mpyauq6lNJ/mqFOgBV9cFeGlsHGMAnzx0MJsr/IPAxL6ZS88skB3Df18r7MzQbiibWz4ALgf9ZVa/ruxn16p8ZXIxLkucC/4vBHQ+3Z3Bh/769daY+Pbz9fGSvXayDHIIyYZLsDTwH2Bm4G/gucG5Vnd1rY+pVkm0YzHaxG4MA/h3giKr6SY9tqWdJnsHg8+K5wNbAVcA5VXVir42pc8MXWib5CLC8qt7Rlr0V/YRLMqeqlvfdx7rEAD6hkjwZ2As4Avi9qnpovx1JGkdJHsEghP8hg7l9qarH99qUOpfkcmD7qronyY+AQ6vq3Kl13h11siX5DwbDkT4LfLGqbu23o/HnEJQJk+QLDMZy/pjBrAYHAuf32pR6k+Q4Vj0Lyhs7bEdjJskS4CEMvin7FvBc7xkwsT4DnJPk58CvGfw+kOSJgBfcTbiqelKSnRnMC//2JFcAp1XVp3pubWx5BnzCJFkAfL+qvJ20pi6kWqmqOqWrXjR+/FpZw5LsCmwBnFlVv2y1JwGPcLo5TWk38Pogg5v8zeq7n3HlGfDJsy1wJXBnkr8HdgTe44fnZDJgazVemeRk4E7g48AOwJFVdWa/bakPVXXeNLX/6KMXjZckmwAvZXAGfDvgSwyuNdNKeAZ8wkzdxSzJc4D3MLh5wj94G+HJlOSfquqIJF9hmqEoVfWSHtrSmJi68C7JnsDrgL8HPuntpSUNa/PD/x/g9Kr6Xs/trBM8Az55poae/AlwQlX9a5L39NmQevXJ9vP9vXahcTV1k5UXAadW1dJMTfArSfd5QnlGd414BnzCJPkqcD3wQgbDT34NXLDCTVgkiTb8ZEsGQ9eeAcwCvllVO/XamKSx4LeoD5wBfMIkeRiwELisqq5KsgXwNMd0TrYkuwHvAB7P4Jux4G2lJ16SDRjcaOXqqrotyWOALavq0n47kzQOkuxUVRcl+aPp1lfVOV33tK4wgE+gNv57XlWdnGQOgyvYr+m7L/Wnzev7ZuAi7humhHdKVZItue8fZgBMzf8sSVNansCZk2bGMeATJslRwALgD4CTgQ2BTzG4A6Im1+1V9bW+m9B4SfJe4BXAFdz3D7MCDOCSAEjyDuBwYIPBYu4Bjquqd/Xa2JjzDPiESXIJg6nELq6qHVrt0qp6eq+NqRdJpmaz+HMG43u/CNw1td7pKSdbkiuBp1fVXavdWNLESfJXDO6qfejUN+lJngAcD/xbVR3TZ3/jzDPgk+fuqqokBZDk4X03pF59YIXlBUPPC9i9w140fq5m8C2ZAVzSdF4NvLCqfj5VqKqrk7wKOBMwgK+EAXzynJ7kn4FNk7wG+EvgYz33pJ5U1fP77kFj7VfAJUnO5v7fjLyxv5YkjZENh8P3lKpanmTDPhpaVxjAJ0xVvT/JC4E7GIwD/4eqOqvnttST9vXh7VV14gr1Q4BHVtU/9dKYxsWi9pCk6dz9ANdNPMeASxMsyUXArlX12xXqGwFLvDZASR4KbF1VV/bdi6TxkuRe4JfTrQI2rirPgq/EBn03oG4k+Xb7eWeSO4Yedya5o+/+1JvZK4ZvgKq6m/vugqgJleTFwCXAv7Xl7ZN4RlwSAFU1q6o2mebxSMP3qjkEZUJU1XPaz0f23YvGygZJHltVNw4Xkzy2r4Y0Vt4B7Ax8E6CqLmkzHEiSHgQD+IRI8uhVra+qW7rqRWPlfcC/JnkLMDXl4E6t/v7eutK4+G1V3Z7c78uQ3/XVjCStLwzgk+MiBtPKBdgauLU93xT4GbBtb52pN1V1apLlwLuApzL4HVnK4OJcb8yjpUleCcxKMg94I/DdnnuSpHWeF2FOmCQfA75UVYvb8l7APlX12n47Ux+S7A+c6S3nNZ0kDwPeDuzB4B/sZwDvrqrf9NqYJK3jDOATJsllVfW01dU0GZK8FdiTwc1Wzga+BlxQfjBIkjQyBvAJk+QM4FvAp1rpAOC5VbVnf12pb0keCfwxsJDBRXc/ZDDzxRkrXqCp9d/qZjqpqpd01YskrY8M4BOmXYx5FPDcVjoXeKcXYWpYkvnAXsAe/uNs8rTrAq4FPgOczwpTUlbVOX30JUnrCwO4JJJ8Efg48G9V5SwXEy7JLOCFwP7A04F/BT5TVUt7bUyS1hMG8AmTZA7wt8BTgI2n6lW1e29NqXdJ/hg4GNgV+Bxwsnc+FECShzAI4u9j8G3Zh3tuSZLWed4Jc/J8GvgRg2kH3wn8BLiwz4bUv6r696o6ANiRwe/Evyf5bpKDk3g3swmU5CFJXsbgepHDgGOBL/XblSStHzwDPmGSXFRVOyW5tKqe3moXVtUz++5N/UryGOBVwKuB/8vgH2vPAZ5WVc/rsTV1LMmpDOaFXwycVlWX99ySJK1XDOATJsl5VbVrmw3lWAZB6/NVtV3PralHSb4E/AHwSeATVXXD0LolVbWgt+bUuSS/A37ZFof/SASoqtqk+64kaf1hAJ8wSf6UwTSEWwHHAZsA76iqr/TamHqV5PlV9Y2++5AkaRIYwEWSI6rqn/ruQ/1JsjHwegZDTgr4NnC8dzyUJGntM4CLJD+rqq377kP9SXI6cCf33aDplcCmVfXy/rqSJGn9NLvvBjQWsvpNtJ57alXNH1r+RpIreutGkqT1mNMQCu5/kZUm08VJdp1aSLILsKTHfiRJWm95BnxCJLmT6YN2gId23I7GRJLLGPxebAh8N8nP2vLjGcwXL0mS1jLHgEsTLMnjV7W+qn7aVS+SJE0Kz4BLE2zFgJ3k94CNe2pHkqSJ4BhwSSR5SZKrgGuAcxjcjv5rvTYlSdJ6ygAuCeDdwK7Af1TVtsALgPP6bUmSpPWTAVwSwG+r6mZggyQbtLtievt5SZJGwDHgkgBuS/II4Fzg00luAn7Zc0+SJK2XnAVFEkkeDvyawbdiBwCPAj7dzopLkqS1yAAu6X6SbA7cXH44SJI0Eo4BlyZYkl2TfDPJF5PskORy4HLgxiQL++5PkqT1kWfApQmWZAnwdwyGnJwA7FVV5yV5MvCZqtqh1wYlSVoPeQZcmmyzq+rMqvoc8J9VdR5AVXkbekmSRsQALk223w09//UK6/x6TJKkEXAIijTBktzLYLrBAA8FfjW1Cti4qjbsqzdJktZXBnBJkiSpQw5BkSRJkjpkAJckSZI6ZACXJEmSOmQAl6SOJPnuGm7/vCRfHVU/kqR+GMAlqSNV9ey+e1idJLP77kGS1ncGcEnqSJJftJ/PS/LNJJ9P8qMkn06Stm5hq10MvGxo34cnOSnJBUm+n2TvVv9Qkn9oz/dMcm6SaT/bk2yX5LwklyV5zwr9fCvJIuCKJBsnOblt9/0kz2/b/UWSDw+93leTPG/q2JIck2RpkrOTzFnF/w7fTPLediz/keQPW32b1sfF7fHsof7OSfLlJFcn+cckB7T9L0uyXdtuTpIvJLmwPXZ7YP9PSdJoGcAlqR87AEcA84EnALsl2Rj4GPBiYCfg94e2fzvw9araGXg+8L4kDwfeBryiheRjgYOravgGS8M+BHyoqp4GXLfCuh2BN1XVk4DDgGrb7Q+c0npblYcDS6rqKcA5wFGr2X52O5Yjhra9CXhhVe0IvKIdz5RnAK8D/j/g1cCT2v4fB94wdHzHVNUzgT9r6yRp7PhVoyT144Kqug4gySXANsAvgGuq6qpW/xRwaNt+D+AlSf66LW8MbF1VP0zyGuBc4M1V9eNVvOezgH3a838B3r9CP9e0588BjgOoqh8l+SnwpNUcz++Az7bnnwK+uJrtp9ZfxODYATYEPpxke+DeFd7zwqq6ASDJj4EzW/0yBv8gAfhjYH77MgFgkySPqKpfrKYXSeqUAVyS+nHX0PN7Wf3ncYA/q6orp1n3NOBm4HEPop9fzmCbe7j/N6erOiu+uru8TR3/8LG/GbiRwdnuDYDfTLM9DML+XUPPp/bfANi1qob3k6Sx4xAUSRofPwK2mRrTzGD4x5QzgDcMjRXfof18PPAWBkNa9kqyyype/zwGQzMA9lvFdt8CDmiv/yRga+BK4CfA9kk2SLIVsPPQPhsA+7bnrwS+vYrXX5lHATe0ITSvBmat4f5nct9wFNqZdEkaOwZwSRoT7cztocC/toswbxpa/W4GQzQuTbIUeHcL4ycCf11V/xc4BPj4KsZrHwH8VZJLgScCt69ku48CGyS5jMGwkr+oqruA7wDXAFcwGJ998dA+vwR2TnI5sDvwrjU6+Pve96AkPwCezMzOyg97I7AgyaVJrmAwZlySxk6qVvctoSRpfZDkYcCvq6qS7AfsX1V7r6XX/kVVPWJtvJYkre8cAy5Jk2MnBhc5BrgN+Mt+25GkyeQZcElazyR5O/DyFcqfq6qjO+7jI8CKc3F/qKpO7rIPSRo3BnBJkiSpQ16EKUmSJHXIAC5JkiR1yAAuSZIkdcgALkmSJHXIAC5JkiR16P8Bb0vcz4XAMIUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the distribution of index_group_name\n",
    "plt.figure(figsize=(12,5))\n",
    "sns.countplot(x='index_group_name', data=articles)\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the distribution of garment_group_name\n",
    "plt.figure(figsize=(12,5))\n",
    "sns.countplot(x='garment_group_name', data=articles)\n",
    "plt.xticks(rotation=90)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load and data cleaning on customers dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "tbN1-30Rph7k",
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "customer_id                    0\n",
      "FN                        895050\n",
      "Active                    907576\n",
      "club_member_status          6062\n",
      "fashion_news_frequency     16009\n",
      "age                        15861\n",
      "postal_code                    0\n",
      "dtype: int64\n",
      "\n",
      "Duplicate: Empty DataFrame\n",
      "Columns: [customer_id, FN, Active, club_member_status, fashion_news_frequency, age, postal_code]\n",
      "Index: []\n",
      "\n",
      "Index(['customer_id', 'club_member_status', 'fashion_news_frequency', 'age'], dtype='object')\n",
      "\n",
      "[1 0 2 3]\n",
      "\n",
      "[0 1 2]\n",
      "\n",
      "['B' 'A' 'Z' 'C']\n",
      "\n",
      "Index(['customer_id', 'club_member_status', 'fashion_news_frequency', 'age',\n",
      "       'club_member_status_group', 'fashion_news_frequency_group',\n",
      "       'age_group'],\n",
      "      dtype='object')\n",
      "(1371980, 7)\n"
     ]
    }
   ],
   "source": [
    "# Load customers dataset\n",
    "customers = pd.read_csv(\"customers.csv\",encoding=\"ISO-8859-1\")\n",
    "\n",
    "# Find missing values and replace missing values if necessary\n",
    "print(customers.isna().sum())\n",
    "print(\"\")\n",
    "\n",
    "# Check duplicated row\n",
    "duplicate_customers = customers[customers.duplicated()]\n",
    "print(\"Duplicate:\",duplicate_customers)\n",
    "print(\"\")\n",
    "\n",
    "# Remove unneccessary field \n",
    "customers.drop(columns=['FN', 'Active','postal_code'], inplace=True, errors='ignore')\n",
    "print(customers.columns)\n",
    "print(\"\")\n",
    "\n",
    "#Process club_member_status column\n",
    "# Replace nan with \"NON-MEBER\"\n",
    "customers[\"club_member_status\"].fillna(\"NON-MEMBER\", inplace=True)\n",
    "\n",
    "# Categorized club_member_status into 0,1,2,3 for graph plotting \n",
    "customers.loc[customers['club_member_status'] == 'NON-MEMBER', 'club_member_status_group'] = 0\n",
    "customers.loc[customers['club_member_status'] == 'ACTIVE', 'club_member_status_group'] = 1\n",
    "customers.loc[customers['club_member_status'] == 'PRE-CREATE', 'club_member_status_group'] = 2\n",
    "customers.loc[customers['club_member_status'] == 'LEFT CLUB', 'club_member_status_group'] = 3\n",
    "\n",
    "#remove the decimal point by converting the category to integers\n",
    "customers[\"club_member_status_group\"] = customers[\"club_member_status_group\"].astype(int)\n",
    "print(customers[\"club_member_status_group\"].unique())\n",
    "print(\"\")\n",
    "\n",
    "# Process fashion_news_frequency column\n",
    "# Replace nan, NONE and none with NON-SUBSCRIBE\n",
    "\n",
    "customers[\"fashion_news_frequency\"].fillna(\"NOT-SUBSCRIBE\", inplace=True)\n",
    "customers[\"fashion_news_frequency\"].replace(\"NONE\", \"NOT-SUBSCRIBE\", inplace=True)\n",
    "customers[\"fashion_news_frequency\"].replace(\"None\", \"NOT-SUBSCRIBE\", inplace=True)\n",
    "customers[\"fashion_news_frequency\"].unique()\n",
    "\n",
    "# Categorized fashion_news_frequency \n",
    "customers.loc[customers['fashion_news_frequency'] == 'NOT-SUBSCRIBE', 'fashion_news_frequency_group'] = 0\n",
    "customers.loc[customers['fashion_news_frequency'] == 'Regularly', 'fashion_news_frequency_group'] = 1\n",
    "customers.loc[customers['fashion_news_frequency'] == 'Monthly', 'fashion_news_frequency_group'] = 2\n",
    "\n",
    "#remove the decimal point by converting the category to integers\n",
    "customers[\"fashion_news_frequency_group\"] = customers[\"fashion_news_frequency_group\"].astype(int)\n",
    "#check the updated column categories\n",
    "print(customers[\"fashion_news_frequency_group\"].unique())\n",
    "print(\"\")\n",
    "\n",
    "# Categorized age to age_group_label (0: No data, 1: Childen & Youth, 2: Adults, 3: Elderly)\n",
    "customers.loc[customers['age']<=24, 'age_group'] = \"A\"\n",
    "customers.loc[(customers['age']<=65) & (customers['age']>24), 'age_group'] = \"B\"\n",
    "customers.loc[customers['age']>65, 'age_group'] = \"C\"\n",
    "customers[\"age_group\"].fillna('Z', inplace=True)\n",
    "\n",
    "print(customers[\"age_group\"].unique())\n",
    "print(\"\")\n",
    "\n",
    "#check the final cleaned \"customers\" dataset\n",
    "print(customers.columns)\n",
    "print(customers.shape)\n",
    "\n",
    "#customers_features = customers[[\"customer_id\", \"club_member_status_group\",\"fashion_news_frequency_group\",\"age_group\"]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "id": "vJgGjxXPpxJf",
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                         customer_id club_member_status  \\\n",
      "0  00000dbacae5abe5e23885899a1fa44253a17956c6d1c3...             ACTIVE   \n",
      "1  0000423b00ade91418cceaf3b26c6af3dd342b51fd051e...             ACTIVE   \n",
      "2  000058a12d5b43e67d225668fa1f8d618c13dc232df0ca...             ACTIVE   \n",
      "3  00005ca1c9ed5f5146b52ac8639a40ca9d57aeff4d1bd2...             ACTIVE   \n",
      "4  00006413d8573cd20ed7128e53b7b13819fe5cfc2d801f...             ACTIVE   \n",
      "\n",
      "  fashion_news_frequency   age  club_member_status_group  \\\n",
      "0          NOT-SUBSCRIBE  49.0                         1   \n",
      "1          NOT-SUBSCRIBE  25.0                         1   \n",
      "2          NOT-SUBSCRIBE  24.0                         1   \n",
      "3          NOT-SUBSCRIBE  54.0                         1   \n",
      "4              Regularly  52.0                         1   \n",
      "\n",
      "   fashion_news_frequency_group age_group  \n",
      "0                             0         B  \n",
      "1                             0         B  \n",
      "2                             0         A  \n",
      "3                             0         B  \n",
      "4                             1         B  \n"
     ]
    }
   ],
   "source": [
    "#check the final cleaned \"customers\" dataset\n",
    "print(customers.head(5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Explanatory Analysis on customers dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "ZOzWhxYsp0kW"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NOT-SUBSCRIBE    893722\n",
      "Regularly        477416\n",
      "Monthly             842\n",
      "Name: fashion_news_frequency, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# Set the display options\n",
    "pd.set_option('display.float_format', lambda x: '%.2f' % x)\n",
    "\n",
    "# Check the distribution of fashion_news_frequency\n",
    "print(customers['fashion_news_frequency'].value_counts())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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": [
    "# Visualize the distribution of fashion_news_frequency\n",
    "sns.countplot(x='fashion_news_frequency', data=customers)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ACTIVE        1272491\n",
      "PRE-CREATE      92960\n",
      "NON-MEMBER       6062\n",
      "LEFT CLUB         467\n",
      "Name: club_member_status, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# Check the distribution of club_member_status\n",
    "print(customers['club_member_status'].value_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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": [
    "# Visualize the distribution of fashion_news_frequency\n",
    "sns.countplot(x='club_member_status', data=customers)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "21.00    67530\n",
      "24.00    56124\n",
      "20.00    55196\n",
      "25.00    54989\n",
      "23.00    54867\n",
      "         ...  \n",
      "98.00        7\n",
      "97.00        4\n",
      "93.00        4\n",
      "96.00        3\n",
      "94.00        3\n",
      "Name: age, Length: 84, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# Check the distribution of club_member_status\n",
    "print(customers['age'].value_counts())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "id": "X2RGsqawp22W"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(15.917, 32.6]    703884\n",
      "(32.6, 49.2]      334243\n",
      "(49.2, 65.8]      280425\n",
      "(65.8, 82.4]       36971\n",
      "(82.4, 99.0]         596\n",
      "Name: age, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# As \"age\" category is difficult to see at individual age value\n",
    "# Count the number of customers in each age bin and plot group\n",
    "age_bins = pd.cut(customers['age'], bins=5)\n",
    "age_counts = age_bins.value_counts()\n",
    "\n",
    "# Print the results\n",
    "print(age_counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAIcERAACAoQ0Fx6raNuuOAAAAsJg2esfxN6rq41X1xqp6xkx7BAAAwELZUHDs7r+Z5LVJzk3yiar6l1X1E6N9qurcqvpIVX2mqh6sqp+f6s+sqrur6qHp65lTvarqnVW1u6o+VVUXrTnW5VP7h6rq8jX1F1TVA9M+76yqGp0DAACAo7fhzzh290NJ/kmSNyf5H5K8s6r+uKr+3mF2OZBkZ3dfkOTiJFdX1QVJdiW5p7vPT3LPtJ4kL09y/vS6KskNyWoITHJNkhcleWGSa9YEwRuSvGHNfjum+uHOAQAAwFHa6Gcc/1pVXZ/ks0lenOTvdvd/Oy1fv94+3f1Id//RtPxn075nJ7k0yc1Ts5uTXDYtX5rkll710SRnVNVZSV6W5O7ufqy7H09yd5Id07and/dHu7uT3HLIsdY7BwAAAEdpywbb/R9JfivJW7v7zw8Wu/tPq+qfHGnnqtqa5PlJPpZkqbsfmTZ9KcnStHx2kofX7LZ3qo3qe9epZ3AOAAAAjtJGg+MlSf68u7+dJFX1fUme0t3f6O73jHasqh9I8rtJfqG7n5g+hpgk6e6uqj62rm/M6BxVdVVWH4vN0tJSVlZWZtmVY7Jz24F5dyFLpy9GPw460p/TIvV1USzi2F4k+/fvd43Y9IxzNjtjnM1u3mN8o8HxD5L87ST7p/WnJvk3Sf670U5V9aSshsbf7u7fm8pfrqqzuvuR6XHTR6f6vqxOvnPQOVNtX5LlQ+orU/2cddqPzvEduvvGJDcmyfbt23t5eXm9ZnN1xa475t2F7Nx2INc9sNGhMnt7Xrs83L4I12zRHOmanepWVlayiH//4XgyztnsjHE2u3mP8Y1OjvOU7j4YGjMtP3W0wzTD6buSfLa7f3XNptuTHJwZ9fIkH1hTf900u+rFSb42PW56V5KXVtWZ06Q4L01y17Ttiaq6eDrX6w451nrnAAAA4Cht9DbS16vqooOT3VTVC5L8+RH2+fEkP5vkgaq6f6q9Ncm1SW6rqiuTfDHJq6ZtdyZ5RZLdSb6R5PVJ0t2PVdXbk9w7tXtbdz82Lb8xybuTnJ7kQ9Mrg3MAAABwlDYaHH8hyb+qqj9NUkn+qyT/YLRDd/+7qe16XrJO+05y9WGOdVOSm9ap35fkuevUv7LeOQAAADh6GwqO3X1vVf1Ikh+eSp/r7v80u24BsJls9dnjde259pJ5dwEANuRoZjz5sSRbp30uqqp09y0z6RUAAAALY0PBsarek+S/SXJ/km9P5U4iOAIAAGxyG73juD3JBdPnEAEAADiFbPTXcXw6qxPiAAAAcIrZ6B3HZyf5TFV9PMk3Dxa7+ydn0isAAAAWxkaD4y/OshMAAAAsro3+Oo5/W1V/Ncn53f0HVfXUJKfNtmsAAAAsgg19xrGq3pDkfUn++VQ6O8nvz6hPAAAALJCNTo5zdZIfT/JEknT3Q0n+8qw6BQAAwOLYaHD8Znd/6+BKVW3J6u9xBAAAYJPbaHD8t1X11iSnV9VPJPlXSf7v2XULAACARbHRWVV3JbkyyQNJfi7JnUl+a1adAlh0W3fdMe8uLJw9114y7y4AADOy0VlV/3OS35xeAAAAnEI2FByr6gtZ5zON3f2Dx71HAAAALJSNPqq6fc3yU5L8dJJnHv/uAAAAsGg2NDlOd39lzWtfd/+zJD7MAgAAcArY6KOqF61Z/b6s3oHc6N1KAAAATmIbDX/XrVk+kGRPklcd994AAACwcDY6q+rfmnVHAAAAWEwbfVT1fxlt7+5fPT7dAQAAYNEczayqP5bk9mn97yb5eJKHZtEpAAAAFsdGg+M5SS7q7j9Lkqr6xSR3dPfPzKpjAAAALIYN/TqOJEtJvrVm/VtTDQAAgE1uo3ccb0ny8ap6/7R+WZKbZ9IjAAAAFspGZ1V9R1V9KMnfnEqv7+5Pzq5bAAAALIqNPqqaJE9N8kR3/1qSvVV13oz6BAAAwALZUHCsqmuSvDnJW6bSk5L8X7PqFAAAAItjo3ccfyrJTyb5epJ0958m+Uuz6hQAAACLY6PB8Vvd3Uk6SarqabPrEgAAAItko8Hxtqr650nOqKo3JPmDJL85u24BAACwKI44q2pVVZL3JvmRJE8k+eEk/3t33z3jvgEAALAAjhgcu7ur6s7u3pZEWAQAADjFbPRR1T+qqh+baU8AAABYSEe84zh5UZKfqao9WZ1ZtbJ6M/KvzapjAAAALIZhcKyqv9Ldf5LkZSeoPwAAACyYI91x/P0kF3X3F6vqd7v775+APgEAALBAjvQZx1qz/IOz7AgAAACL6UjBsQ+zDAAAwCniSI+qPq+qnsjqncfTp+Xkv0yO8/SZ9g4AAIC5GwbH7j7tRHUEAACAxbTR3+MIAADAKUpwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYEhwBAAAYGhmwbGqbqqqR6vq02tqv1hV+6rq/un1ijXb3lJVu6vqc1X1sjX1HVNtd1XtWlM/r6o+NtXfW1VPnurfP63vnrZvndX3CAAAcCqY5R3HdyfZsU79+u6+cHrdmSRVdUGSVyf50Wmf36iq06rqtCS/nuTlSS5I8pqpbZL8ynSsH0ryeJIrp/qVSR6f6tdP7QAAADhGMwuO3f2HSR7bYPNLk9za3d/s7i8k2Z3khdNrd3d/vru/leTWJJdWVSV5cZL3TfvfnOSyNce6eVp+X5KXTO0BAAA4BvP4jOObqupT06OsZ061s5M8vKbN3ql2uPqzkny1uw8cUv+OY03bvza1BwAA4BhsOcHnuyHJ25P09PW6JP/wBPfh/1dVVyW5KkmWlpaysrIyr64c1s5tB47caMaWTl+Mfhx0pD+nRerroljEsb1I9u/ff9TXyDj7bqNr6Hqt70T+3TyWcQ4nE2OczW7eY/yEBsfu/vLB5ar6zSQfnFb3JTl3TdNzploOU/9KkjOqast0V3Ft+4PH2ltVW5I8Y2q/Xn9uTHJjkmzfvr2Xl5eP+XublSt23THvLmTntgO57oET/TOGw9vz2uXh9kW4ZovmSNfsVLeyspKj/ftvnH230ThzvdZ3Iv9uHss4h5OJMc5mN+8xfkIfVa2qs9as/lSSgzOu3p7k1dOMqOclOT/Jx5Pcm+T8aQbVJ2d1Ap3bu7uTfCTJK6f9L0/ygTXHunxafmWSD0/tAQAAOAYzu41UVb+TZDnJs6tqb5JrkixX1YVZfVR1T5KfS5LufrCqbkvymSQHklzd3d+ejvOmJHclOS3JTd394HSKNye5tap+Ocknk7xrqr8ryXuqandWJ+d59ay+RwAAgFPBzIJjd79mnfK71qkdbP+OJO9Yp35nkjvXqX8+q7OuHlr/iyQ/fVSdBQAA4LDmMasqAAAAJ5HFmfEEmJutp/jEJTu3HfiuyVv2XHvJnHoDALB43HEEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgaGbBsapuqqpHq+rTa2rPrKq7q+qh6euZU72q6p1VtbuqPlVVF63Z5/Kp/UNVdfma+guq6oFpn3dWVY3OAQAAwLGZ5R3HdyfZcUhtV5J7uvv8JPdM60ny8iTnT6+rktyQrIbAJNckeVGSFya5Zk0QvCHJG9bst+MI5wAAAOAYzCw4dvcfJnnskPKlSW6elm9Octma+i296qNJzqiqs5K8LMnd3f1Ydz+e5O4kO6ZtT+/uj3Z3J7nlkGOtdw4AAACOwYn+jONSdz8yLX8pydK0fHaSh9e02zvVRvW969RH5wAAAOAYbJnXibu7q6rneY6quiqrj8ZmaWkpKysrs+zOMdm57cC8u5Cl0xejHwcd6c9pkfq6KFyzsfXGuGt29EbXzPVa34n8d2f//v0L+e8cHC/GOJvdvMf4iQ6OX66qs7r7kelx00en+r4k565pd85U25dk+ZD6ylQ/Z532o3N8l+6+McmNSbJ9+/ZeXl4+XNO5uWLXHfPuQnZuO5DrHpjbzxi+y57XLg+3L8I1WzSu2dh6Y9w1O3qja+Z6re9I4+x4WllZySL+OwfHizHOZjfvMX6iH1W9PcnBmVEvT/KBNfXXTbOrXpzka9PjpncleWlVnTlNivPSJHdN256oqoun2VRfd8ix1jsHAAAAx2Bmt5Gq6neyerfw2VW1N6uzo16b5LaqujLJF5O8amp+Z5JXJNmd5BtJXp8k3f1YVb09yb1Tu7d198EJd96Y1ZlbT0/yoemVwTkAAAA4BjMLjt39msNsesk6bTvJ1Yc5zk1Jblqnfl+S565T/8p65wAAAODYnOhHVQEAADjJCI4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMCY4AAAAMbZl3BwCA77Z11x3H9Xg7tx3IFcf5mCfanmsvmXcXAE5Z7jgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwJDgCAAAwNJfgWFV7quqBqrq/qu6bas+sqrur6qHp65lTvarqnVW1u6o+VVUXrTnO5VP7h6rq8jX1F0zH3z3tWyf+uwQAANgc5nnH8W9194XdvX1a35Xknu4+P8k903qSvDzJ+dPrqiQ3JKtBM8k1SV6U5IVJrjkYNqc2b1iz347ZfzsAAACb0yI9qnppkpun5ZuTXLamfkuv+miSM6rqrCQvS3J3dz/W3Y8nuTvJjmnb07v7o93dSW5ZcywAAACO0ryCYyf5N1X1iaq6aqotdfcj0/KXkixNy2cneXjNvnun2qi+d506AAAAx2DLnM77N7p7X1X95SR3V9Ufr93Y3V1VPetOTKH1qiRZWlrKysrKrE951HZuOzDvLmTp9MXox0FH+nNapL4uCtdsbL0x7podvdE1c73WdyKv2aK9lx+LRfx3msWxf/9+Y4RNbd5jfC7Bsbv3TV8frar3Z/Uzil+uqrO6+5HpcdNHp+b7kpy7Zvdzptq+JMuH1Fem+jnrtF+vHzcmuTFJtm/f3svLy+s1m6srdt0x7y5k57YDue6Bef2M4bvtee3ycPsiXLNF45qNrTfGXbOjN7pmrtf6TuQ1W7T38mNxpL+XnNpWVlayiP+Xg+Nl3mP8hD+qWlVPq6q/dHA5yUuTfDrJ7UkOzox6eZIPTMu3J3ndNLvqxUm+Nj3SeleSl1bVmdOkOC9Ncte07YmquniaTfV1a44FAADAUZrHjx6Xkrx/+g0ZW5L8y+7+11V1b5LbqurKJF9M8qqp/Z1JXpFkd5JvJHl9knT3Y1X19iT3Tu3e1t2PTctvTPLuJKcn+dD0AgAA4Bic8ODY3Z9P8rx16l9J8pJ16p3k6sMc66YkN61Tvy/Jc7/nzgIAALBQv44DAACABSQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMCQ4AgAAMLRl3h0AADgetu66Y95dWDh7rr1k3l0ANgl3HAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABjaMu8OAAAwH1t33THvLhw3O7cdyBXH4fvZc+0lx6E3sPm44wgAAMCQ4AgAAMCQ4AgAAMDQpg2OVbWjqj5XVburate8+wMAAHCy2pTBsapOS/LrSV6e5IIkr6mqC+bbKwAAgJPTpgyOSV6YZHd3f767v5Xk1iSXzrlPAAAAJ6XN+us4zk7y8Jr1vUleNKe+AACwSWymX2FyvPgVJqeG6u559+G4q6pXJtnR3f9oWv/ZJC/q7jcd0u6qJFdNqz+c5HMntKMnj2cn+Y/z7gTMkDHOqcA4Z7MzxtnsTsQY/6vd/Zz1NmzWO477kpy7Zv2cqfYduvvGJDeeqE6drKrqvu7ePu9+wKwY45wKjHM2O2OczW7eY3yzfsbx3iTnV9V5VfXkJK9Ocvuc+wQAAHBS2pR3HLv7QFW9KcldSU5LclN3PzjnbgEAAJyUNmVwTJLuvjPJnfPuxybhcV42O2OcU4FxzmZnjLPZzXWMb8rJcQAAADh+NutnHAEAADhOBEe+Q1WdW1UfqarPVNWDVfXzU/2ZVXV3VT00fT1z3n2F70VVnVZVn6yqD07r51XVx6pqd1W9d5pYC05KVXVGVb2vqv64qj5bVX/d+zibSVX9z9P/Uz5dVb9TVU/xPs7JrqpuqqpHq+rTa2rrvnfXqndO4/1TVXXRrPsnOHKoA0l2dvcFSS5OcnVVXZBkV5J7uvv8JPdM63Ay+/kkn12z/itJru/uH0ryeJIr59IrOD5+Lcm/7u4fSfK8rI517+NsClV1dpL/Kcn27n5uVidCfHW8j3Pye3eSHYfUDvfe/fIk50+vq5LcMOvOCY58h+5+pLv/aFr+s6z+Z+PsJJcmuXlqdnOSy+bSQTgOquqcJJck+a1pvZK8OMn7pibGOCetqnpGkv8+ybuSpLu/1d1fjfdxNpctSU6vqi1JnprkkXgf5yTX3X+Y5LFDyod77740yS296qNJzqiqs2bZP8GRw6qqrUmen+RjSZa6+5Fp05eSLM2rX3Ac/LMk/1uS/zytPyvJV7v7wLS+N6s/MIGT0XlJ/kOSfzE9jv1bVfW0eB9nk+jufUn+aZI/yWpg/FqST8T7OJvT4d67z07y8Jp2Mx/zgiPrqqofSPK7SX6hu59Yu61Xp+I1HS8npar6O0ke7e5PzLsvMCNbklyU5Ibufn6Sr+eQx1K9j3Mymz7jdWlWf0jyXyd5Wr778T7YdOb93i048l2q6klZDY2/3d2/N5W/fPD29/T10Xn1D75HP57kJ6tqT5Jbs/po069l9RGPg7/b9pwk++bTPfie7U2yt7s/Nq2/L6tB0vs4m8XfTvKF7v4P3f2fkvxeVt/bvY+zGR3uvXtfknPXtJv5mBcc+Q7TZ73eleSz3f2razbdnuTyafnyJB840X2D46G739Ld53T31qxOpvDh7n5tko8keeXUzBjnpNXdX0rycFX98FR6SZLPxPs4m8efJLm4qp46/b/l4Bj3Ps5mdLj37tuTvG6aXfXiJF9b80jrTNTqHU9YVVV/I8n/k+SB/JfPf701q59zvC3JX0nyxSSv6u5DP7wLJ5WqWk7yj7v771TVD2b1DuQzk3wyyc909zfn2D04ZlV1YVYnf3pyks8neX1Wf1jsfZxNoap+Kck/yOps8J9M8o+y+vku7+OctKrqd5IsJ3l2ki8nuSbJ72ed9+7phyb/Z1Yf0/5Gktd3930z7Z/gCAAAwIhHVQEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABgSHAEAABj6/wDVfwV3ok1vaQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the distribution of numerical variables\n",
    "customers['age'].plot.hist(grid = True, bins=10, figsize=(15,10),rwidth = 0.9)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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": [
    "# Visualize the relationship between fashion_news_frequency and age\n",
    "sns.boxplot(x='fashion_news_frequency', y='age', data=customers)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='club_member_status', ylabel='age'>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the relationship between club_member_status and age\n",
    "sns.boxplot(x='club_member_status', y='age', data=customers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "id": "N9_TTWdrp5ug"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             age  club_member_status_group  fashion_news_frequency_group\n",
      "count 1356119.00                1371980.00                    1371980.00\n",
      "mean       36.39                      1.06                          0.35\n",
      "std        14.31                      0.26                          0.48\n",
      "min        16.00                      0.00                          0.00\n",
      "25%        24.00                      1.00                          0.00\n",
      "50%        32.00                      1.00                          0.00\n",
      "75%        49.00                      1.00                          1.00\n",
      "max        99.00                      3.00                          2.00\n"
     ]
    }
   ],
   "source": [
    "# Check the distribution of numerical variables\n",
    "print(customers.describe())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "id": "8i9N3AEvp79H"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x540 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the relationship between variables\n",
    "sns.pairplot(customers)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "otoq-CRqqAPJ"
   },
   "source": [
    "### Load and data cleaning for transactions dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['t_dat', 'customer_id', 'article_id', 'price'], dtype='object')\n",
      "(9126613, 4)\n"
     ]
    }
   ],
   "source": [
    "# Load trasactions_train dataset\n",
    "transactions_train = pd.read_csv(\"transactions_train.csv\",encoding=\"ISO-8859-1\")\n",
    "\n",
    "# Preprocessing for transaction_train dataset\n",
    "# Find missing values and replace missing values if necessary\n",
    "transactions_train.isna().sum()\n",
    "\n",
    "# Check duplicated row\n",
    "# Assumption: Duplicated row means double entry (customer buy the same articles on the same day) \n",
    "duplicate_transactions = transactions_train[transactions_train.duplicated()]\n",
    "duplicate_transactions\n",
    "\n",
    "# Remove duplicated rows\n",
    "transactions_train.drop_duplicates(inplace=True)\n",
    "\n",
    "# Format t_dat field to datetime type\n",
    "transactions_train['t_dat'] =  pd.to_datetime(transactions_train['t_dat'], format='%Y-%m-%d')\n",
    "\n",
    "# Sales Channel ID 1 refers to online purchases and Sales Channel ID 2 refers to in-store purchase\n",
    "# Since our recommendation system only works for online purchases, the rows with channel id 2 is removed.\n",
    "transactions_train = transactions_train[transactions_train.sales_channel_id == 1]\n",
    "\n",
    "# Remove sales_channel_id field\n",
    "transactions_train.drop(columns=['sales_channel_id'], inplace=True, errors='ignore')\n",
    "\n",
    "# Format the article_id to str\n",
    "transactions_train['article_id'] = transactions_train['article_id'].apply(str)\n",
    "\n",
    "print(transactions_train.columns)\n",
    "print(transactions_train.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Explanatory Analysis on transaction dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Total Transactions')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot total transactions over time \n",
    "plt.figure(figsize=(12,5))\n",
    "ax = transactions_train.groupby('t_dat').size()\n",
    "ax.plot()\n",
    "plt.xlabel(\"Date\")\n",
    "plt.ylabel(\"Total Transactions\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Customer ID')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Top 10 customer will the most total transactions over 2 years\n",
    "purchase_counts = transactions_train[['customer_id','article_id']].groupby(['customer_id'], as_index=False).count().sort_values(by= [\"article_id\"], ascending= False)\n",
    "\n",
    "fig = plt.figure(figsize =(10, 7))\n",
    "x=purchase_counts[\"article_id\"].head(10)\n",
    "y=purchase_counts[\"customer_id\"].head(10)\n",
    " \n",
    "# Horizontal Bar Plot\n",
    "plt.barh(y,x)\n",
    "plt.title(\"Top 10 customers by sales\", fontsize= 24)\n",
    "plt.xlabel(\"Total Transactions\")\n",
    "plt.ylabel(\"Customer ID\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Article ID')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Top 10 most sold articles over 2 years\n",
    "items_sold = transactions_train[['article_id','customer_id']].groupby(['article_id'], as_index=False).count().sort_values(by= [\"customer_id\"], ascending= True)\n",
    "\n",
    "fig = plt.figure(figsize =(10, 7))\n",
    "x=items_sold[\"customer_id\"].tail(10)\n",
    "y=items_sold[\"article_id\"].apply(str).tail(10)\n",
    " \n",
    "# Horizontal Bar Plot\n",
    "plt.barh(y,x)\n",
    "plt.title(\"Top 10 most sold articles\", fontsize= 24)\n",
    "plt.xlabel(\"Count on item sold\")\n",
    "plt.ylabel(\"Article ID\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# transactions_train.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# # This visualization can only be run before sales_channel_id column is removed\n",
    "# transactions_train = pd.read_csv(\"transactions_train.csv\",encoding=\"ISO-8859-1\")\n",
    "# # Visualize the distribution of sales_channel_id\n",
    "# plt.figure(figsize=(12,5))\n",
    "# sns.countplot(x='sales_channel_id', data=transactions_train)\n",
    "# plt.xticks(rotation=90)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualization of price distribution\n",
    "plt.figure(figsize=(12,8))\n",
    "transactions_train[\"price\"].plot.hist(grid=True, bins=30, rwidth=0.9,\n",
    "                   color='#607c8e')\n",
    "\n",
    "plt.title('Price Distribution')\n",
    "plt.xlabel('Price')\n",
    "plt.ylabel('Count')\n",
    "plt.grid(axis='y', alpha=0.75)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "# # This visualization can only be run before sales_channel_id column is removed\n",
    "# transactions_train = pd.read_csv(\"transactions_train.csv\",encoding=\"ISO-8859-1\")\n",
    "# # Visualize the relationship between price and sales_channel_id\n",
    "# plt.figure(figsize=(5,12))\n",
    "# sns.boxplot(x='sales_channel_id', y='price', data=transactions_train)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Merge transactions and customers dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['t_dat', 'customer_id', 'article_id', 'price', 'club_member_status',\n",
      "       'fashion_news_frequency', 'age', 'club_member_status_group',\n",
      "       'fashion_news_frequency_group', 'age_group'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "transactions_customers = pd.merge(transactions_train, customers, on='customer_id')\n",
    "print(transactions_customers.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# remove the columns that are not used for processing\n",
    "# transactions_customers.drop(columns=['article_id', 'sales_channel_id','club_member_status', \n",
    "#                                      'fashion_news_frequency','age'], inplace=True, errors=\"ignore\")\n",
    "#print(transactions_customers.head(5))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Merge transactions and articles dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['t_dat', 'customer_id', 'article_id', 'price', 'prod_name',\n",
      "       'product_group_name', 'graphical_appearance_name', 'colour_group_name',\n",
      "       'index_group_name', 'garment_group_name'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "transactions_articles = pd.merge(transactions_train, articles, on='article_id')\n",
    "print(transactions_articles.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Article ID')"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Top 10 most sold articles over 2 years\n",
    "items_sold = transactions_articles[['article_id','customer_id']].groupby(['article_id'], as_index=False).count().sort_values(by= [\"customer_id\"], ascending= True)\n",
    "\n",
    "fig = plt.figure(figsize =(10, 7))\n",
    "x=items_sold[\"customer_id\"].tail(10)\n",
    "y=items_sold[\"article_id\"].apply(str).tail(10)\n",
    " \n",
    "# Horizontal Bar Plot\n",
    "plt.barh(y,x)\n",
    "plt.title(\"Top 10 most sold articles\", fontsize= 24)\n",
    "plt.xlabel(\"Count on item sold\")\n",
    "plt.ylabel(\"Article ID\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RFM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Find the latest date in the dataset\n",
    "snapshot_date = transactions_customers['t_dat'].max() + pd.DateOffset(days=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                              customer_id  Recency  Frequency  \\\n",
      "86329   1df07f916d7f648458702bd0b612caee88f1fb4cd1b660...       11        769   \n",
      "533140  b8f41c0fca0bdaf8cddc0e38b3f99f08795361be258e03...       48        447   \n",
      "351040  79dfa40cb6761774c4201b62ee0b45defde89bf7b0258e...        1        443   \n",
      "653120  e2e398ce5bd2eb4e4a60611dc33b04abd5196200cc39e6...        7        438   \n",
      "675110  ea9867726673a5d8853f10730857ce9efdc770a5789b22...       24        405   \n",
      "410157  8e6b0776da2701be4591e5f6c5022442d39b734db9c254...       55        399   \n",
      "249555  56b1412c11a4f4c376ff82ebda2e37dc8945a909cd8c84...        4        389   \n",
      "462445  a07fbd05aa2131f0cef26ecdd3d07598469e111b685d2c...       13        387   \n",
      "224200  4de6988c4971cfc0c6910a85a54fa8d6fb11be64b87b98...        3        381   \n",
      "547763  be1981ab818cf4ef6765b2ecaea7a2cbf14ccd6e8a7ee9...       11        358   \n",
      "\n",
      "        Monetary  R  F  M RFM_Segment  RFM_Score Customer_Group  \n",
      "86329      25.01  4  4  4         444         12       Champion  \n",
      "533140      6.05  4  4  4         444         12       Champion  \n",
      "351040      9.43  4  4  4         444         12       Champion  \n",
      "653120     13.21  4  4  4         444         12       Champion  \n",
      "675110      9.95  4  4  4         444         12       Champion  \n",
      "410157     10.94  3  4  4         344         11   High Spender  \n",
      "249555      9.15  4  4  4         444         12       Champion  \n",
      "462445      4.47  4  4  4         444         12       Champion  \n",
      "224200      8.32  4  4  4         444         12       Champion  \n",
      "547763      7.46  4  4  4         444         12       Champion  \n"
     ]
    }
   ],
   "source": [
    "# Find the latest date in the dataset\n",
    "snapshot_date = transactions_customers['t_dat'].max() + pd.DateOffset(days=1)\n",
    "\n",
    "# Calculate Recency, Frequency, and Monetary\n",
    "rfm = transactions_customers.groupby('customer_id').agg({\n",
    "    't_dat': lambda x: (snapshot_date - x.max()).days,\n",
    "    'customer_id': 'count',\n",
    "    'price': 'sum'\n",
    "}).rename(columns={'t_dat': 'Recency',\n",
    "                   'customer_id': 'Frequency',\n",
    "                   'price': 'Monetary'})\n",
    "\n",
    "# Reset the index\n",
    "rfm = rfm.reset_index()\n",
    "\n",
    "# Print the result\n",
    "#print(rfm.head())\n",
    "\n",
    "# Define into 4 quantiles\n",
    "quantiles = rfm.quantile(q=[0.25, 0.5, 0.75])\n",
    "\n",
    "# Assign labels for Recency\n",
    "def r_score(x, p, quantiles):\n",
    "    if x <= quantiles[p][0.25]:\n",
    "        return 4\n",
    "    elif x <= quantiles[p][0.5]:\n",
    "        return 3\n",
    "    elif x <= quantiles[p][0.75]:\n",
    "        return 2\n",
    "    else:\n",
    "        return 1\n",
    "\n",
    "# Assign labels for Frequency, and Monetary\n",
    "def fm_score(x, p, quantiles):\n",
    "    if x <= quantiles[p][0.25]:\n",
    "        return 1\n",
    "    elif x <= quantiles[p][0.5]:\n",
    "        return 2\n",
    "    elif x <= quantiles[p][0.75]:\n",
    "        return 3\n",
    "    else:\n",
    "        return 4\n",
    "    \n",
    "    \n",
    "# Calculate RFM scores\n",
    "rfm['R'] = rfm['Recency'].apply(r_score, args=('Recency', quantiles))\n",
    "rfm['F'] = rfm['Frequency'].apply(fm_score, args=('Frequency', quantiles))\n",
    "rfm['M'] = rfm['Monetary'].apply(fm_score, args=('Monetary', quantiles))\n",
    "\n",
    "# Combine RFM scores\n",
    "rfm['RFM_Segment'] = rfm['R'].map(str) + rfm['F'].map(str) + rfm['M'].map(str)\n",
    "rfm['RFM_Score'] = rfm['R'] + rfm['F'] + rfm['M']\n",
    "\n",
    "\n",
    "# Define the customer groups\n",
    "def customer_group(score):\n",
    "    if score <= 6:\n",
    "        return 'Low Spender'\n",
    "    elif score <= 9:\n",
    "        return 'Promising'\n",
    "    elif score <= 11:\n",
    "        return 'High Spender'\n",
    "    else:\n",
    "        return 'Champion'\n",
    "\n",
    "# Assign customer groups\n",
    "rfm['Customer_Group'] = rfm['RFM_Score'].apply(customer_group)\n",
    "\n",
    "# Print the result\n",
    "# print(rfm.head())\n",
    "\n",
    "# # Sort by Recency value and get the top 10 customers\n",
    "# top_10_customers_R = rfm.sort_values(by='Recency', ascending=False).head(10)\n",
    "\n",
    "# # Print the result\n",
    "# print(top_10_customers_R)\n",
    "\n",
    "# Sort by Frequency value and get the top 10 customers\n",
    "top_10_customers_F = rfm.sort_values(by='Frequency', ascending=False).head(10)\n",
    "\n",
    "# Print the result\n",
    "print(top_10_customers_F)\n",
    "\n",
    "\n",
    "# # Sort by Monetary value and get the top 10 customers\n",
    "# top_10_customers_M = rfm.sort_values(by='Monetary', ascending=False).head(10)\n",
    "\n",
    "# # Print the result\n",
    "# print(top_10_customers_M)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Update customer dataset with Customer_Group\n",
    "customers_upd = pd.merge(customers, \n",
    "                     rfm[[\"customer_id\",\"Customer_Group\"]], \n",
    "                     on ='customer_id', \n",
    "                     how ='left')\n",
    "\n",
    "# Customer without transactions will be segmented into different group (i.e. \"I\")\n",
    "customers_upd[\"Customer_Group\"].fillna(\"No Transaction\", inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Update transaction_customer dataset with Customer_Group\n",
    "trans_cust_upd = pd.merge(transactions_customers, \n",
    "                     rfm[[\"customer_id\",\"Customer_Group\"]], \n",
    "                     on ='customer_id', \n",
    "                     how ='left')\n",
    "\n",
    "# Customer without transactions will be segmented into different group (i.e. \"I\")\n",
    "trans_cust_upd[\"Customer_Group\"].fillna(\"No Transaction\", inplace=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Update transaction_customer dataset with Customer_Group\n",
    "trans_art_upd =  pd.merge(transactions_articles, \n",
    "                     rfm[[\"customer_id\",\"Customer_Group\"]], \n",
    "                     on ='customer_id', \n",
    "                     how ='left')\n",
    "# Customer without transactions will be segmented into different group (i.e. \"I\")\n",
    "trans_cust_upd[\"Customer_Group\"].fillna(\"No Transaction\", inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "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>customer_id</th>\n",
       "      <th>club_member_status</th>\n",
       "      <th>fashion_news_frequency</th>\n",
       "      <th>age</th>\n",
       "      <th>club_member_status_group</th>\n",
       "      <th>fashion_news_frequency_group</th>\n",
       "      <th>age_group</th>\n",
       "      <th>Customer_Group</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>000058a12d5b43e67d225668fa1f8d618c13dc232df0ca...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>24.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>A</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>00005ca1c9ed5f5146b52ac8639a40ca9d57aeff4d1bd2...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>54.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>B</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>000064249685c11552da43ef22a5030f35a147f723d5b0...</td>\n",
       "      <td>NON-MEMBER</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>Z</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0000757967448a6cb83efb3ea7a3fb9d418ac7adf2379d...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>20.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>A</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0000945f66de1a11d9447609b8b41b1bc987ba185a5496...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>29.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>B</td>\n",
       "      <td>No Transaction</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1371967</th>\n",
       "      <td>ffff2f5a160e334d722d2f2c36be9907f6d097a141e49b...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>40.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>B</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1371968</th>\n",
       "      <td>ffff4c4e8b57b633c1ddf8fbd53db16b962cf831baf9ed...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>40.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>B</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1371970</th>\n",
       "      <td>ffff64f7850d4268016db8db3d48bf5433db2a926ba71b...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>Regularly</td>\n",
       "      <td>32.00</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>B</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1371972</th>\n",
       "      <td>ffff8f9ecdce722b5bab97fff68a6d1866492209bfe524...</td>\n",
       "      <td>ACTIVE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>52.00</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>B</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1371979</th>\n",
       "      <td>ffffd9ac14e89946416d80e791d064701994755c3ab686...</td>\n",
       "      <td>PRE-CREATE</td>\n",
       "      <td>NOT-SUBSCRIBE</td>\n",
       "      <td>65.00</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>B</td>\n",
       "      <td>No Transaction</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>634862 rows × 8 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                               customer_id club_member_status  \\\n",
       "2        000058a12d5b43e67d225668fa1f8d618c13dc232df0ca...             ACTIVE   \n",
       "3        00005ca1c9ed5f5146b52ac8639a40ca9d57aeff4d1bd2...             ACTIVE   \n",
       "5        000064249685c11552da43ef22a5030f35a147f723d5b0...         NON-MEMBER   \n",
       "6        0000757967448a6cb83efb3ea7a3fb9d418ac7adf2379d...             ACTIVE   \n",
       "10       0000945f66de1a11d9447609b8b41b1bc987ba185a5496...             ACTIVE   \n",
       "...                                                    ...                ...   \n",
       "1371967  ffff2f5a160e334d722d2f2c36be9907f6d097a141e49b...             ACTIVE   \n",
       "1371968  ffff4c4e8b57b633c1ddf8fbd53db16b962cf831baf9ed...             ACTIVE   \n",
       "1371970  ffff64f7850d4268016db8db3d48bf5433db2a926ba71b...             ACTIVE   \n",
       "1371972  ffff8f9ecdce722b5bab97fff68a6d1866492209bfe524...             ACTIVE   \n",
       "1371979  ffffd9ac14e89946416d80e791d064701994755c3ab686...         PRE-CREATE   \n",
       "\n",
       "        fashion_news_frequency   age  club_member_status_group  \\\n",
       "2                NOT-SUBSCRIBE 24.00                         1   \n",
       "3                NOT-SUBSCRIBE 54.00                         1   \n",
       "5                NOT-SUBSCRIBE   NaN                         0   \n",
       "6                NOT-SUBSCRIBE 20.00                         1   \n",
       "10               NOT-SUBSCRIBE 29.00                         1   \n",
       "...                        ...   ...                       ...   \n",
       "1371967          NOT-SUBSCRIBE 40.00                         1   \n",
       "1371968          NOT-SUBSCRIBE 40.00                         1   \n",
       "1371970              Regularly 32.00                         1   \n",
       "1371972          NOT-SUBSCRIBE 52.00                         1   \n",
       "1371979          NOT-SUBSCRIBE 65.00                         2   \n",
       "\n",
       "         fashion_news_frequency_group age_group  Customer_Group  \n",
       "2                                   0         A  No Transaction  \n",
       "3                                   0         B  No Transaction  \n",
       "5                                   0         Z  No Transaction  \n",
       "6                                   0         A  No Transaction  \n",
       "10                                  0         B  No Transaction  \n",
       "...                               ...       ...             ...  \n",
       "1371967                             0         B  No Transaction  \n",
       "1371968                             0         B  No Transaction  \n",
       "1371970                             1         B  No Transaction  \n",
       "1371972                             0         B  No Transaction  \n",
       "1371979                             0         B  No Transaction  \n",
       "\n",
       "[634862 rows x 8 columns]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "customers_upd[customers_upd[\"Customer_Group\"]==\"No Transaction\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualization\n",
    "# Distribution plots for Recency, Frequency, and Monetary\n",
    "plt.figure(figsize=(15, 4))\n",
    "plt.subplot(1, 3, 1)\n",
    "sns.histplot(rfm['Recency'], kde=False, bins=30)\n",
    "plt.title('Recency Distribution')\n",
    "plt.xlabel('Recency')\n",
    "plt.ylabel('Frequency')\n",
    "\n",
    "plt.subplot(1, 3, 2)\n",
    "sns.histplot(rfm['Frequency'], kde=False, bins=30)\n",
    "plt.title('Frequency Distribution')\n",
    "plt.xlabel('Frequency')\n",
    "\n",
    "plt.subplot(1, 3, 3)\n",
    "sns.histplot(rfm['Monetary'], kde=False, bins=30)\n",
    "plt.title('Monetary Distribution')\n",
    "plt.xlabel('Monetary')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Low Spender     309598\n",
      "Promising       208926\n",
      "High Spender    136772\n",
      "Champion         81822\n",
      "Name: Customer_Group, dtype: int64\n"
     ]
    },
    {
     "data": {
      "image/png": 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SJKnXRnm1bIDjgB9V1YcGZp0BjF3xuj/wtYH6fu2q2R2Bu9qh1bOAXZOs2y6k2BU4q827O8mObVv7jVvXRNuQJEnqtVkjXPdOwGuBK5Jc1mrvBN4PnJrkAOBG4JVt3pnAHsA84DfA6wGq6o4k7wMuau2OqKo72vSbgBOA1YD/aF9MsQ1JkqReG1m4q6rvAZlk9i4TtC/goEnWdTxw/AT1ucAzJ6jfPtE2JEmS+s47VEiSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4ZKtwledaoOyJJkqTFN+zI3SeSXJjkTUnWHmmPJEmStMiGCndV9Xzg1cDGwMVJPp/kz0faM0mSJE3b0OfcVdW1wLuBQ4A/BT6S5MdJXj6qzkmSJGl6hj3n7tlJjgZ+BLwQeElV/VGbPnqE/ZMkSdI0zBqy3UeBzwDvrKrfjhWr6mdJ3j2SnkmSJGnahg13LwZ+W1UPAiRZAVi1qn5TVSePrHeSJEmalmHPufsWsNrA49VbTZIkScuQYcPdqlV1z9iDNr36aLokSZKkRTVsuPt1kq3HHiTZBvjtFO0lSZI0A4Y95+4twJeS/AwI8HjgVaPqlCRJkhbNUOGuqi5K8nTgaa10TVX9bnTdkiRJ0qIYduQOYDtgTltm6yRU1Ukj6ZUkSZIWyVDhLsnJwGbAZcCDrVyA4U6SJGkZMuzI3bbAFlVVo+yMJEmSFs+wV8teSXcRhSRJkpZhw47crQ9cneRC4L6xYlW9dCS9kiRJ0iIZNtwdPspOSJIkackY9qNQ/ivJk4DNq+pbSVYHVhxt1yRJkjRdQ51zl+QNwGnAp1ppQ+CrI+qTJEmSFtGwF1QcBOwE3A1QVdcCjxtVpyRJkrRohg1391XV/WMPksyi+5w7SZIkLUOGDXf/leSdwGpJ/hz4EvD10XVLkiRJi2LYcHcosAC4AngjcCbw7lF1SpIkSYtm2KtlHwI+3b4kSZK0jBr23rLXM8E5dlX15CXeI0mSJC2y6dxbdsyqwCuA9ZZ8dyRJkrQ4hjrnrqpuH/i6uao+DLx4tF2TJEnSdA17WHbrgYcr0I3kDTvqJ0mSpKVk2ID2wYHpB4AbgFcu8d5IkiRpsQx7tewLRt0RSZIkLb5hD8u+dar5VfWhJdMdSZIkLY7pXC27HXBGe/wS4ELg2lF0SpIkSYtm2DtUbARsXVX/UFX/AGwDbFJV762q9060QJLjk9yW5MqB2uFJbk5yWfvaY2DeO5LMS3JNkhcN1HdrtXlJDh2ob5rkglb/YpKVW32V9nhemz9nWj8RSZKk5diw4W4D4P6Bx/e32lROAHaboH50VW3Vvs4ESLIFsA/wjLbMJ5KsmGRF4OPA7sAWwL6tLcAH2rqeAtwJHNDqBwB3tvrRrZ0kSdKjwrDh7iTgwjbydjhwAXDiVAtU1XeBO4Zc/57AKVV1X1VdD8wDtm9f86rquqq6HzgF2DNJgBcCp7XlTwT2GljXWN9OA3Zp7SVJknpv2A8xPgp4Pd0I2Z3A66vqHxdxmwcnubwdtl231TYEbhpoM7/VJqs/FvhlVT0wrv6IdbX5d7X2fyDJgUnmJpm7YMGCRXw6kiRJy45hR+4AVgfurqp/BeYn2XQRtncMsBmwFXALj/z8vKWuqo6tqm2ratvZs2fPZFckSZKWiKHCXZLDgEOAd7TSSsBnp7uxqrq1qh6sqoeAT9MddgW4Gdh4oOlGrTZZ/XZgnSSzxtUfsa42f+3WXpIkqfeGHbl7GfBS4NcAVfUzYM3pbizJE8atc+xK2jOAfdqVrpsCm9N91MpFwObtytiV6S66OKOqCjgX2Lstvz/wtYF17d+m9wa+3dpLkiT13rCfc3d/VVWSAkjymIUtkOQLwM7A+knmA4cBOyfZCii6W5i9EaCqrkpyKnA13e3NDqqqB9t6DgbOAlYEjq+qq9omDgFOSXIkcClwXKsfB5ycZB7dBR37DPkcJUmSlnvDhrtTk3yK7lDoG4D/TXdYdVJVte8E5eMmqI21Pwo4aoL6mcCZE9Sv4+HDuoP1e4FXTNU3SZKkvlpouGsfI/JF4OnA3cDTgPdU1dkj7pskSZKmaaHhrh2OPbOqngUY6CRJkpZhw15QcUmS7UbaE0mSJC22Yc+52wF4TZIb6K6YDd2g3rNH1TFJkiRN35ThLskmVfVT4EVLqT+SJElaDAsbufsqsHVV3Zjky1X1l0uhT5IkSVpECzvnLgPTTx5lRyRJkrT4FhbuapJpSZIkLYMWdlh2yyR3043grdam4eELKtYaae8k6VFqp4/uNNNd0GL4/pu/P9Nd0KPYlOGuqlZcWh2RJEnS4hv2c+4kSZK0HDDcSZIk9YjhTpIkqUcMd5IkST1iuJMkSeoRw50kSVKPGO4kSZJ6xHAnSZLUI4Y7SZKkHjHcSZIk9YjhTpIkqUcMd5IkST1iuJMkSeoRw50kSVKPGO4kSZJ6xHAnSZLUI4Y7SZKkHjHcSZIk9YjhTpIkqUcMd5IkST1iuJMkSeoRw50kSVKPGO4kSZJ6xHAnSZLUI4Y7SZKkHjHcSZIk9YjhTpIkqUcMd5IkST1iuJMkSeoRw50kSVKPGO4kSZJ6ZGThLsnxSW5LcuVAbb0kZye5tn1ft9WT5CNJ5iW5PMnWA8vs39pfm2T/gfo2Sa5oy3wkSabahiRJ0qPBKEfuTgB2G1c7FDinqjYHzmmPAXYHNm9fBwLHQBfUgMOAHYDtgcMGwtoxwBsGltttIduQJEnqvZGFu6r6LnDHuPKewIlt+kRgr4H6SdU5H1gnyROAFwFnV9UdVXUncDawW5u3VlWdX1UFnDRuXRNtQ5IkqfeW9jl3G1TVLW3658AGbXpD4KaBdvNbbar6/AnqU23jDyQ5MMncJHMXLFiwCE9HkiRp2TJjF1S0EbeayW1U1bFVtW1VbTt79uxRdkWSJGmpWNrh7tZ2SJX2/bZWvxnYeKDdRq02VX2jCepTbUOSJKn3lna4OwMYu+J1f+BrA/X92lWzOwJ3tUOrZwG7Jlm3XUixK3BWm3d3kh3bVbL7jVvXRNuQJEnqvVmjWnGSLwA7A+snmU931ev7gVOTHADcCLyyNT8T2AOYB/wGeD1AVd2R5H3ARa3dEVU1dpHGm+iuyF0N+I/2xRTbkCRJ6r2Rhbuq2neSWbtM0LaAgyZZz/HA8RPU5wLPnKB++0TbkCRJejTwDhWSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9MiPhLskNSa5IclmSua22XpKzk1zbvq/b6knykSTzklyeZOuB9ezf2l+bZP+B+jZt/fPasln6z1KSJGnpm8mRuxdU1VZVtW17fChwTlVtDpzTHgPsDmzevg4EjoEuDAKHATsA2wOHjQXC1uYNA8vtNvqnI0mSNPOWpcOyewIntukTgb0G6idV53xgnSRPAF4EnF1Vd1TVncDZwG5t3lpVdX5VFXDSwLokSZJ6babCXQHfTHJxkgNbbYOquqVN/xzYoE1vCNw0sOz8VpuqPn+CuiRJUu/NmqHtPq+qbk7yOODsJD8enFlVlaRG3YkWLA8E2GSTTUa9OUmSpJGbkZG7qrq5fb8NOJ3unLlb2yFV2vfbWvObgY0HFt+o1aaqbzRBfaJ+HFtV21bVtrNnz17cpyVJkjTjlnq4S/KYJGuOTQO7AlcCZwBjV7zuD3ytTZ8B7Neumt0RuKsdvj0L2DXJuu1Cil2Bs9q8u5Ps2K6S3W9gXZIkSb02E4dlNwBOb59OMgv4fFX9Z5KLgFOTHADcCLyytT8T2AOYB/wGeD1AVd2R5H3ARa3dEVV1R5t+E3ACsBrwH+1LkiSp95Z6uKuq64AtJ6jfDuwyQb2AgyZZ1/HA8RPU5wLPXOzOSpIkLWeWpY9CkSRJ0mIy3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB4x3EmSJPWI4U6SJKlHDHeSJEk9YriTJEnqEcOdJElSjxjuJEmSesRwJ0mS1COGO0mSpB7pbbhLsluSa5LMS3LoTPdHkiRpaehluEuyIvBxYHdgC2DfJFvMbK8kSZJGr5fhDtgemFdV11XV/cApwJ4z3CdJkqSR62u42xC4aeDx/FaTJEnqtVkz3YGZlORA4MD28J4k18xkf5ZR6wO/mOlOjEr+Zf+Z7kKf9Hpf4bDMdA/6ptf7S/7W/WUJ6vW+shieNNmMvoa7m4GNBx5v1GqPUFXHAscurU4tj5LMraptZ7ofWva5r2g63F80LPeV6evrYdmLgM2TbJpkZWAf4IwZ7pMkSdLI9XLkrqoeSHIwcBawInB8VV01w92SJEkauV6GO4CqOhM4c6b70QMettaw3Fc0He4vGpb7yjSlqma6D5IkSVpC+nrOnSRJ0qOS4W45kOSeEa13gyT/nuSHSa5OMvLD2EluSLL+qLejiSV5MMllSa5M8qUkq49gG0ck+bMp5v91kv2W9HY1vPGvKUlel+RjbXqhv5/B9gtp9xdJLh14jXnj4vV8odvbOcm/j3IbjwbtveHzSa5LcnGS/07ysoUsM+nPfrLX/SRrJPlUkp+07XwnyQ6L0N+dk/zxdJfrs96ec6ehHAGcXVX/CpDk2TPcnz+QZMWqenCm+9Ejv62qrQCSfA74a+BDYzOTzKqqBxZnA1X1noXM/+TirF+jtaR+P0lWojtXavuqmp9kFWDOklj3krIk9ve+SRLgq8CJVfW/Wu1JwEtHsLnPANcDm1fVQ0k2pbtl6HTtDNwD/GAJ9m1Ky/p7kyN3y6kkWyU5P8nlSU5Psm6SxyW5uM3fMkkl2aQ9/skEozRPoLt7BwBVdXlru3OS7yb5RpJrknwyyQpt3q7tv7hL2sjPGq1+Q5L3tvoVSZ7e6o9N8s0kVyX5DPD7T/ZM8pokF7aRpE+1ewKT5J4kH0zyQ+C5o/oZivOAp7Tf93lJzgCuTrJqkn9rv8dLk7wAfj9a89UkZ7ff98FJ3tranJ9kvdbuhCR7t+n3txGby5P8S6sdnuRtbfo7ST7Q9oP/SfL8Vl89yalt2dOTXJDEz7laCsb9frZrv7vLkvxzkisHmj4xyX8muTbJ/5tgVWvSDSDcDlBV91XVNW29J7TXlbnt9/4Xrb5i285FbbtvbPWd275yWpIfJ/lcCyEk2a3VLgFePvA8HpPk+LZvXZpkz1Z/XZIzknwbOGdJ//x64IXA/YMhv6purKqPAkz2+jBoqtf9gTabATsA766qh9p2rq+qbySZM7ivJXlbksPb9N8OvKackmQO3T+pf9/20+e35b/d2pyTh98HT0hyTHu9uq7tV8cn+VGSEwa2N9X73AfavvaKxf1Bj5Lhbvl1EnBIVT0buAI4rKpuA1ZNshbwfGAu8Px0/3XdVlW/GbeOjwPHJTk3ybuSPHFg3vbAm+n+i9oMeHm6YfV3A39WVVu39b91YJlftPoxwNta7TDge1X1DOB0YOyP7I+AVwE7tZGkB4FXt2UeA1xQVVtW1fcW42ekSSSZBexOt+8AbA38XVU9FTgIqKp6FrAvcGKSVVu7Z9K9gW4HHAX8pqqeA/w38IhDeUkeC7wMeEbbT4+cpDuzqmp74C10+wvAm4A7q2oL4P8C2yzeM9Y4q7U3wsuSXEY3ij+RfwPeOPA3Omgrur/hZwGvSjL4wfFU1R10ny96Y5IvJHl12j+JzRy615kXA59s+9gBwF1VtR3dPvaGdKM5AM+h20e2AJ4M7NSW+TTwErp95PED638X8O22b70A+Ockj2nztgb2rqo/nfxH9Kj1DOCSKeZP9fowZsLX/Qm2c9kijH4dCjynvab8dVXdAHwSOLqqtqqq84CP0o08Phv4HPCRgeXXpRs0+Hu6/fPo1pdnpRs0Wdj73O1VtXVVnTLNfi9VHpZdDiVZG1inqv6rlU4EvtSmfwDsBPwJ8I/AbnT/NZ03fj1VdVaSJ7c2uwOXJnlmm31hVV3XtvcF4HnAvXQvrN9v/zSvTPemPuYr7fvFPPwf9J+MTbf/yO5s9V3oXowvautaDbitzXsQ+PLwPxFNw2rtzRy6feI44I/pft/Xt/rz6F4cqaofJ7kReGqbd25V/Qr4VZK7gK+3+hXA+MP6d9HtM8elOxdnsnOhBvebOQN9+NfWhyuTXD7N56mp/f7wPHSjWcAjRkaTrAOsWVVjf+OfB/5ioMk5VXVXa3s13a2QBu/pTVX9VZJnAX9G9w/fnwOva7NPbSM21ya5Dng6sCvw7LSRX2BtYHPgfrp9dH7b3mV0+8o9wPVVdW2rf5aHbym5K/DSsVFIYFUeDhlnt/CphUjycbq/x/tb6J7q9WHMZK/7S8LlwOeSfJXu8PFEnsvD70EnA4Mjy1+vqkpyBXBrVV0BkOQqun1qI6Z+n/viEnkWI2a465/v0o3aPQn4GnAIUMA3JmrcXuA+D3y+vQH/Cd1hlPGfkVN0IfHsqtp3km3f174/yML3rdD9Z/WOCebduyyfy7Cce8SbOkB7Afv1kMvfNzD90MDjhxj3O28fJr49XZDfGziY7pDPZOscZr/RsmNwX5j0d9fePK9IcjLd+VWvG5s1vind68Kbq+qswRlJdh52e4OLAX85dih4YF07MPz+/mh0FfCXYw+q6qA2mjV3BNvZMhOfu/YAjzyyODgy+GK696mXAO9q/zxMx+Br1vjXs1l0+9ZU73PLxb7jYdnlUPtv+c6085OA1wJjo3jnAa8Brm3/Fd8B7AH8weHNJC9MOw8vyZp0h19/2mZvn+72bSvQHXr5HnA+3aGQp7RlHpNk/H9s430XGDspd3e6IXHoznXZO8nj2rz12uFjzbzzaIfI2+93E+CaKZeYQDtPZe32geJ/D2w5jcW/D7yyrWcLukN/Woqq6pd0I7RjVy/uM53l010JufNAaSvgxoHHr0iyQjv36sl0+9hZwN+kuxiDJE8dOJQ6kR8Dc9o6oDtMOOYs4M3J78/Ne850+v8o9m2603v+ZqA2eL72MK8Pk73u/15V/YQuML534Hc0J8mLgVuBx6U7d28V2ohxez/auKrOpRu4WBtYA/gV3TmeY37Aw/vrq5ngyNUUFuV9bpnjf8nLh9WTzB94/CFgf7rzVFYHrgNeD1BVN7Q/lO+2tt8DNqqqiYbFtwE+lmTsv6TPVNVF7QX5IuBjwFOAc4HT29VMrwO+0P7goDs34X+m6Pt7W/ur6P7gftr6eXWSdwPfbH+wv6M7l+PGSdekpeUTwDHtsMUDwOuq6r72+jsdawJfa+fjhEeetzJMH05sh/t+TPdf/l3T7YAW2wHAp5M8RPcP5HR+BwH+T5JPAb+lG/F43cD8nwIXAmvRnTt1b7qT7+cAl7TXsQXAXpNtoC1zIPCNJL+hexMfe5N/H/Bh4PL2GnM9jzysrAm0Q5Z7AUcn+T90v4Nf04UpGO71YcLX/Qn8FfBBYF6S3wK/AN5eVb9LcgTd/nEz3WsAdLcT/Ww7NSnAR6rql0m+DpyW7qKZN7evf0vy9tb/10/j+S9YhPe5ZY53qNAfaOHubVXlC6FmRLorp1dqb96bAd8CnlZV989w1x5VkqxRVfe06UOBJ1TV3y2B9Z4A/HtVnba465L0hxy5k7QsWh04tx2eC/Amg92MeHGSd9C9V9zII0feJC2jHLmTJEnqES+okCRJ6hHDnSRJUo8Y7iRJknrEcCdpuZbk8enuMfmTJBcnOXNRPpcqyV7tM/VmVLr79f443b07f5jkQ2Of+yZJwzDcSVputc9COx34TlVtVlXbAO8ANliE1e1Fd9uhpaZ95Mvg47+mu23Wju3endvR3ZZvtYUtK0ljDHeSlmcvAH5XVZ8cK1TVD6vqvCQ7t1vqAZDkY+3DSUny/iRXJ7k8yb8k+WPgpXQ3l78syWbpbiJ+fmtzepJ127LfSXJ0krlJfpRkuyRfSXJtkiMHtveaJBe29X1qLIwluSfJB5P8kO4emIPeBfxNuzsEVXV/Vb2/qu6eaNk2yndl+3pLazMnyZUD/XhbksMH+v6vrU9Xprs9nKSeMdxJWp49E7h4OgskeSzwMuAZVfVs4Miq+gFwBt2n42/Vbo10EnBIa3MFcNjAau6vqm2BT9Ldw/mg1pfXtVsm/RHdbft2avfyfZB2yybgMcAFVbVlVf3+toBJ1gLWqKrrp+j+75elu+vD64EdgB2BN2S4W2yt3vr0JuD4IdpLWs4Y7iQ92twF3Ascl+TlwG/GN2i3N1qnqsbu2Xwi3c3Kx5zRvl8BXFVVt1TVfXS3AtwY2IXu9n4XJbmsPX5yW+ZB4MsL62SSF7URthvayOL4ZZ9Hd1vAX7e7SHwFeP5E6xrnCwBV9V1grSTrDLGMpOWI4U7S8uwquhA1kbF7Jo9ZFaCqHgC2B06ju9fofy7Cdu9r3x8amB57PIvurhontlHArarqaVV1eGtzb1U9OH6F7dDrPUk2bY/PaiNsVwIrT7XsOBM+78FNLeSxpOWc4U7S8uzbwCrt5vEAJHl2kufT3S5riySrtNGpXdr8NYC1q+pM4O+BLduiv6LddL6q7gLubOsBeC0wNoo3jHOAvZM8rm1zvSRPGmK5f6K7Kfs6bbnwh+FszHnAXklWT/IYukPN5wG3Ao9rh4dXoQuwg17V1v084K72XCX1iPeWlbTcqqpK8jLgw0kOoTvcegPwlqq6KcmpdCNf1wOXtsXWBL6WZFW6Eba3tvopwKeT/C2wN7A/8Mkkq9Mdbn39NPp1dZJ3A99MsgLwO7rz8m5cyKLH0M6rS3IfcA/w/YG+D27jkiQnABe20meq6lKAJEe0+s3Aj8ctem+SS4GVgP897HOStPzw3rKS9CiR5DvA26pq7kz3RdLoeFhWkiSpRxy5kyRJ6hFH7iRJknrEcCdJktQjhjtJkqQeMdxJkiT1iOFOkiSpRwx3kiRJPfL/AS5IRVhZRYbkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Count the number of customers in each segment\n",
    "customer_counts = rfm['Customer_Group'].value_counts()\n",
    "print(customer_counts)\n",
    "\n",
    "# Count plot for Customer_Group\n",
    "plt.figure(figsize=(10, 6))\n",
    "sns.countplot(x='Customer_Group', data=rfm, order=['Low Spender', 'Promising', 'High Spender', 'Gold Customer'])\n",
    "plt.title('Customer Groups')\n",
    "plt.xlabel('Customer Group')\n",
    "plt.ylabel('Frequency')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Predictions \n",
    "- Association Rule Mining/Market Basket Analysis \n",
    "- Collaborative Analysis\n",
    "- Customers Cluster -> recommend top 10 most popular on each cluster"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Market Basket Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def encode_units(x):\n",
    "    if x <= 0:\n",
    "        return False\n",
    "    else:\n",
    "        return True\n",
    "    \n",
    "def market_basket (cust_group):\n",
    "    trans_cust_upd1 =trans_cust_upd[[\"t_dat\",\"customer_id\",\"article_id\",\"price\",\"Customer_Group\"]]\n",
    "    A_seg = pd.merge(trans_cust_upd1[trans_cust_upd1.Customer_Group == cust_group], articles, on=\"article_id\")\n",
    "    basket_A = A_seg.groupby(['customer_id','product_group_name']).size().unstack().reset_index().fillna(0).set_index(\"customer_id\")\n",
    "    # Convert the transactional data into a one-hot encoded format\n",
    "\n",
    "    # basket_sets = basket_A.applymap(encode_units)\n",
    "\n",
    "    basket_sets_filter = basket_A.applymap(encode_units)\n",
    "    # basket_sets_filter = basket_sets[(basket_sets>0).sum(axis=1)>=2]\n",
    "\n",
    "\n",
    "    # Generate frequent itemsets using Apriori algorithm\n",
    "    frequent_itemsets = apriori(basket_sets_filter, min_support=0.03, use_colnames=True).sort_values('support', ascending=False).reset_index(drop=True)\n",
    "\n",
    "    frequent_itemsets['length'] = frequent_itemsets['itemsets'].apply(lambda x: len(x))\n",
    "#     print(frequent_itemsets.head())\n",
    "\n",
    "    # Generate association rules using the frequent itemsets (Higher lift: stronger associations)\n",
    "    rules = association_rules(frequent_itemsets, metric=\"lift\", min_threshold=1).sort_values('lift', ascending=False).reset_index(drop=True)\n",
    "\n",
    "#     rules[(rules['lift'] >= 1) & (rules['confidence'] >= 0.4)]\n",
    "\n",
    "\n",
    "    df = trans_art_upd[trans_art_upd[\"Customer_Group\"]==cust_group]\n",
    "    top_article =pd.DataFrame (df[\"product_group_name\"].unique(), columns=[\"product_group_name\"])\n",
    "    lst=[]\n",
    "    for j in df[\"product_group_name\"].unique() :\n",
    "        lst.append(df[df[\"product_group_name\"]==j].article_id.mode()[0])\n",
    "    top_article[\"top_article\"] = lst\n",
    "#     print(top_article)\n",
    "    return rules, top_article\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Recommendation System"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Recommender System for first item \n",
    "def first_item():\n",
    "    first_item_rec = x[\"antecedents\"]\n",
    "\n",
    "    antecedents=[]\n",
    "    for i in first_item_rec[:11]:\n",
    "        rec = list (i)\n",
    "#         print(rec)\n",
    "        for j in rec:\n",
    "            antecedents.append(j)\n",
    "\n",
    "#     ant_setlist =set(antecedents)\n",
    "    \n",
    "    ant_setlist = list(dict.fromkeys(antecedents))\n",
    "    \n",
    "    \n",
    "    print(\"First Item Recommendation product group\",ant_setlist)\n",
    "\n",
    "    first_item_reco=[]\n",
    "    for k in ant_setlist:\n",
    "        if k in y[\"product_group_name\"].unique():\n",
    "            first_item_reco.append(y.loc[y[\"product_group_name\"]==k, \"top_article\"].iloc[0])\n",
    "    #         print(first_item_reco)\n",
    "    print(\"First Item Recommendation (article id): \", first_item_reco)  \n",
    "    return "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def second_item(item_combinations):\n",
    "    list_of_combi=[]\n",
    "    list_of_prod=[]\n",
    "    \n",
    "    \n",
    "    for j in range(len(item_combinations)):\n",
    "        item_in_cart = item_combinations[j]\n",
    "        prod_in_cart=[]\n",
    "\n",
    "        for item in item_in_cart:\n",
    "            if item in articles[\"article_id\"].unique():\n",
    "                prod_in_cart.append(articles.loc[articles[\"article_id\"]==item, \"product_group_name\"].iloc[0])\n",
    "    #             print(prod_in_cart)\n",
    "        prod_in_cart = list(dict.fromkeys(prod_in_cart))\n",
    "#         print(\"Product in cart:\",prod_in_cart)\n",
    "\n",
    "        ante = x[\"antecedents\"]\n",
    "        second_item_rec = x[\"consequents\"]\n",
    "\n",
    "        antecedents=[]\n",
    "        for i in ante:\n",
    "            rec = list (i)\n",
    "        #     print(rec)\n",
    "            if sorted(rec)== sorted(prod_in_cart):\n",
    "                cons_list = list(x.loc[x[\"antecedents\"]==i, \"consequents\"].iloc[0])\n",
    "#                 print(\"Next Item Recommendation product group:\" ,cons_list)\n",
    "                second_reco=[]\n",
    "                for k in cons_list:\n",
    "                    second_reco.append(y.loc[y[\"product_group_name\"]==k, \"top_article\"].iloc[0])\n",
    "#                 print(\"Next Item Recommendation (article_id):\" , second_reco)\n",
    "                break\n",
    "        list_of_prod.append(cons_list)\n",
    "        list_of_combi.append(second_reco)\n",
    "    print(\"Product in cart:\", list(dict.fromkeys(flatten(item_combinations))))\n",
    "    print(\"Next Item Recommendation product group\", list(dict.fromkeys(flatten(list_of_prod))))\n",
    "    print(\"Next Item Recommendation (article_id)\", list(dict.fromkeys(flatten(list_of_combi))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Recommender for the next item\n",
    "def second_item(item_combinations):\n",
    "    list_of_combi=[]\n",
    "    list_of_prod=[]\n",
    "    \n",
    "    # If there is currently no item on cart\n",
    "    if len(item_combinations)==0:\n",
    "        print(\"Since there is nothing on the cart, will recommend based on first item recommender.\")\n",
    "        first_item()\n",
    "    \n",
    "    # If there is currently only 1 item in the cart\n",
    "    elif len(item_combinations)==1:\n",
    "        item_in_cart = item_combinations[0]\n",
    "        prod_in_cart=[]\n",
    "        for item in item_in_cart:\n",
    "            if item in articles[\"article_id\"].unique():\n",
    "                prod_in_cart.append(articles.loc[articles[\"article_id\"]==item, \"product_group_name\"].iloc[0])\n",
    "            else:\n",
    "                print(\"Article ID is not correct!\")\n",
    "                break\n",
    "        if len(prod_in_cart)!= 0:\n",
    "            prod_in_cart = list(dict.fromkeys(prod_in_cart))\n",
    "            print(\"Product in cart:\",prod_in_cart)\n",
    "            ante = x[\"antecedents\"]\n",
    "            second_item_rec = x[\"consequents\"]\n",
    "            antecedents=[]\n",
    "            for i in ante:\n",
    "                rec = list (i)\n",
    "\n",
    "                if sorted(rec)== sorted(prod_in_cart):\n",
    "                    cons_list = list(x.loc[x[\"antecedents\"]==i, \"consequents\"].iloc[0])\n",
    "                    print(\"Next Item Recommendation product group:\" ,cons_list)\n",
    "                    second_reco=[]\n",
    "                    for k in cons_list:\n",
    "                        second_reco.append(y.loc[y[\"product_group_name\"]==k, \"top_article\"].iloc[0])\n",
    "                    print(\"Next Item Recommendation (article_id):\" , second_reco)\n",
    "                    break\n",
    "    # If there is currently more than 1 item in the cart\n",
    "    else:    \n",
    "    \n",
    "        for j in range(len(item_combinations)):\n",
    "            item_in_cart = item_combinations[j]\n",
    "            prod_in_cart=[]\n",
    "            for item in item_in_cart:\n",
    "                if item in articles[\"article_id\"].unique():\n",
    "                    prod_in_cart.append(articles.loc[articles[\"article_id\"]==item, \"product_group_name\"].iloc[0])\n",
    "            if len(prod_in_cart)!= 0:\n",
    "                prod_in_cart = list(dict.fromkeys(prod_in_cart))\n",
    "                ante = x[\"antecedents\"]\n",
    "                second_item_rec = x[\"consequents\"]\n",
    "                antecedents=[]\n",
    "                for i in ante:\n",
    "                    rec = list (i)\n",
    "                    if sorted(rec)== sorted(prod_in_cart):\n",
    "                        cons_list = list(x.loc[x[\"antecedents\"]==i, \"consequents\"].iloc[0])\n",
    "                        second_reco=[]\n",
    "                        for k in cons_list:\n",
    "                            second_reco.append(y.loc[y[\"product_group_name\"]==k, \"top_article\"].iloc[0])\n",
    "                        break\n",
    "                list_of_prod.append(cons_list)\n",
    "                list_of_combi.append(second_reco)\n",
    "        if prod_in_cart==[]:\n",
    "            print(\"Article ID are not correct!\")\n",
    "        else:\n",
    "            print(\"Product in cart:\", prod_in_cart)\n",
    "            print(\"Next Item Recommendation product group\", list(dict.fromkeys(flatten(list_of_prod))))\n",
    "            print(\"Next Item Recommendation (article_id)\", list(dict.fromkeys(flatten(list_of_combi))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def flatten(l):\n",
    "    return [item for sublist in l for item in sublist]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Customer ID: 0000423b00ade91418cceaf3b26c6af3dd342b51fd051eec9c12fb36984420fa\n",
      "Customer Group:  Promising\n",
      "Is this the first item on the cart? (y/n)y\n",
      "First Item Recommendation product group ['Underwear', 'Nightwear', 'Garment Upper body', 'Accessories', 'Garment Lower body', 'Socks & Tights']\n",
      "First Item Recommendation (article id):  ['464297007', '536139006', '673677002', '673396002', '399256001', '372860001']\n"
     ]
    }
   ],
   "source": [
    "# Recommender System\n",
    "\n",
    "# Insert Customer ID\n",
    "cust_id = input(\"Customer ID: \")\n",
    "\n",
    "if cust_id in customers_upd[\"customer_id\"].unique():\n",
    "    cust_group = customers_upd.loc[customers_upd[\"customer_id\"]==cust_id, \"Customer_Group\"].iloc[0]\n",
    "    print(\"Customer Group: \", cust_group)\n",
    "    \n",
    "    if cust_group == \"No Transaction\":\n",
    "        print(\"Customer has never made a transacion before so there is no recommendation\")\n",
    "    else: \n",
    "        x, y = market_basket(cust_group)\n",
    "\n",
    "        question= input(\"Is this the first item on the cart? (y/n)\")\n",
    "        if question==\"y\":\n",
    "            first_item()\n",
    "        elif question ==\"n\":\n",
    "            input_string = input(\"Input list of items separated by space:\")\n",
    "            item_in_cart = input_string.split()\n",
    "            item_combinations = []\n",
    "            for i in range(1, len(item_in_cart)+1):\n",
    "                combinations = list(itertools.combinations(item_in_cart, i))\n",
    "                item_combinations += [list(c) for c in combinations]\n",
    "            second_item(item_combinations)\n",
    "        else:\n",
    "            print(\"Please input correct answer (y/n).\")\n",
    "else:\n",
    "    print(\"Customer ID cannot be found\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For Demo\n",
    "\n",
    "Customer ID: (Promising)\n",
    "0000423b00ade91418cceaf3b26c6af3dd342b51fd051eec9c12fb36984420fa\n",
    "\n",
    "Customer ID: (Champion)\n",
    "ffffcd5046a6143d29a04fb8c424ce494a76e5cdf4fab53481233731b5c4f8b7\n",
    "\n",
    "Customer ID: (No Transaction)\n",
    "002eee4be23177391977b73936103b4251478fd521bed00fde2f33afc1127df0\n",
    "\n",
    "Item in cart 2(items):\n",
    "655265002 688873012 \n",
    "\n",
    "Item in cart 3(items):\n",
    "655265002 688873012 110065001\t\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Market Basket Analyis Result"
   ]
  },
  {
   "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>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>(Underwear)</td>\n",
       "      <td>(Nightwear)</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.45</td>\n",
       "      <td>0.01</td>\n",
       "      <td>1.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>(Nightwear)</td>\n",
       "      <td>(Underwear)</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.54</td>\n",
       "      <td>1.45</td>\n",
       "      <td>0.01</td>\n",
       "      <td>1.36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(Underwear, Garment Upper body)</td>\n",
       "      <td>(Nightwear)</td>\n",
       "      <td>0.34</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.10</td>\n",
       "      <td>1.44</td>\n",
       "      <td>0.01</td>\n",
       "      <td>1.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(Nightwear)</td>\n",
       "      <td>(Underwear, Garment Upper body)</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.34</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.49</td>\n",
       "      <td>1.44</td>\n",
       "      <td>0.01</td>\n",
       "      <td>1.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>(Nightwear, Garment Upper body)</td>\n",
       "      <td>(Underwear)</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.53</td>\n",
       "      <td>1.42</td>\n",
       "      <td>0.01</td>\n",
       "      <td>1.33</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>429</th>\n",
       "      <td>(Garment Full body, Garment Upper body)</td>\n",
       "      <td>(Socks &amp; Tights, Garment Lower body)</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.19</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>430</th>\n",
       "      <td>(Socks &amp; Tights, Garment Full body, Underwear)</td>\n",
       "      <td>(Garment Upper body)</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.94</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>431</th>\n",
       "      <td>(Garment Upper body)</td>\n",
       "      <td>(Socks &amp; Tights, Garment Full body, Underwear)</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.04</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>432</th>\n",
       "      <td>(Garment Upper body)</td>\n",
       "      <td>(Accessories)</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.43</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>433</th>\n",
       "      <td>(Accessories)</td>\n",
       "      <td>(Garment Upper body)</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.93</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>434 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                        antecedents  \\\n",
       "0                                       (Underwear)   \n",
       "1                                       (Nightwear)   \n",
       "2                   (Underwear, Garment Upper body)   \n",
       "3                                       (Nightwear)   \n",
       "4                   (Nightwear, Garment Upper body)   \n",
       "..                                              ...   \n",
       "429         (Garment Full body, Garment Upper body)   \n",
       "430  (Socks & Tights, Garment Full body, Underwear)   \n",
       "431                            (Garment Upper body)   \n",
       "432                            (Garment Upper body)   \n",
       "433                                   (Accessories)   \n",
       "\n",
       "                                        consequents  antecedent support  \\\n",
       "0                                       (Nightwear)                0.37   \n",
       "1                                       (Underwear)                0.07   \n",
       "2                                       (Nightwear)                0.34   \n",
       "3                   (Underwear, Garment Upper body)                0.07   \n",
       "4                                       (Underwear)                0.06   \n",
       "..                                              ...                 ...   \n",
       "429            (Socks & Tights, Garment Lower body)                0.37   \n",
       "430                            (Garment Upper body)                0.04   \n",
       "431  (Socks & Tights, Garment Full body, Underwear)                0.93   \n",
       "432                                   (Accessories)                0.93   \n",
       "433                            (Garment Upper body)                0.43   \n",
       "\n",
       "     consequent support  support  confidence  lift  leverage  conviction  \n",
       "0                  0.07     0.04        0.10  1.45      0.01        1.03  \n",
       "1                  0.37     0.04        0.54  1.45      0.01        1.36  \n",
       "2                  0.07     0.03        0.10  1.44      0.01        1.03  \n",
       "3                  0.34     0.03        0.49  1.44      0.01        1.29  \n",
       "4                  0.37     0.03        0.53  1.42      0.01        1.33  \n",
       "..                  ...      ...         ...   ...       ...         ...  \n",
       "429                0.19     0.07        0.19  1.00      0.00        1.00  \n",
       "430                0.93     0.04        0.94  1.00      0.00        1.01  \n",
       "431                0.04     0.04        0.04  1.00      0.00        1.00  \n",
       "432                0.43     0.40        0.43  1.00      0.00        1.00  \n",
       "433                0.93     0.40        0.93  1.00      0.00        1.01  \n",
       "\n",
       "[434 rows x 9 columns]"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PzOyCdci3F7BRFMfK9FtJjYGngb+bWSszaw/cCLTMnnLdyq0A7YCMimNVUNXvBjO7GLgOSNdGHgbOX6fMi4rY87ZrGHX8mQxtfzRNT/rVWorhzIEvMazjsQz/2a/58raHaHPzFWWut7n5Cua9PmxdRODis1txae+x9Dx3FN26NKJF8y3KxDn6iCYsXlLMyX8aycAXZ3BOr10AaNF8C7p1acRp547ikt5jueScVhRVduRXVMSed17DyGPO4N29f0XTk49eSzGc+eT/GLbvsQzf/3i+6PMQbW79W5nre9x6BfNe3fTbohDkKAQZCkWOQpChQvJWU95HoeGKo+M4q5F0P7AL8Iqki6Ll4FFJI4BHo1XmbUljJL0laceY7tPEsUzSIZLqSnpY0khJoyUdF+P2kvScpFejNeeWGF4tWhrGSRor6aIY3jLG/VjSMEmtJR0IHAvcGstsCZwIvJqhWjXNbEnifBmQPD8FeBR4HTgu0RYdJL0n6bNYhy2jjH2ijGMknR/j7ifp3Sjja5KaxPALJE2IcZ+KYYck2mp0zFeSbk3UvUeM2zXWeRAwIYYtSch4maRRMf/rYljdaB37LObXI0b/DijJ0QV+AFYmzm8FrkyPlLRqSWoo6Q1J4yU9JOkrSQ1i1GqSHozXXpdUJ1qS9gcej21wsKTnYl7Hxf5TU1JtSV/G8LX6QAw/RtKHsR3fjApfyuK1ut/GOv2Qo+4lsY0AzgMeMbPV1l0zG25mL1Sk3Hj+SJT5K0knSLol3uNXJdWI6crrP0Mk3Rz73+exrWoC1wM9Yvv1IA8knRLLHSfp5hh2kqS+8feFifbeJdYhl2y3K1ilL8xQ5D6S3ld4xs+Macrr55J0t6TJkt4EGsXwn0t6IVGHwyWlJoDmpZU3G9gmGWBmS4Hpkjrm00aZ2Gb/vVn6xdcsmz4DW7WKWc++TOOjDysTp3jxj6t/V9tiC8xs9XnjYw5j2fQZLJk4tbIi0KbVVsyYtYyZc5ZTXGy8OXQunTvVLxOnc6f6vPLWHACGjJjHfvtsuzr8zaFzWVVszJqznBmzltGm1VaVkmObjnuz9IuvWDYttMXMgYNpfEz5bVG9bh1ItsWxh7F0+rcsnjClUuVD4bRFIchRCDIUihyFIENFUJHyPgoNVxwdx1mNmZ0NzAQONbPbYvAeQDczOwW4izCg3ht4HLgzpmtnZu2Aq4GPgPcICsfbZtYROJSg5KUseu2AHkBbwgC4eQxrZmZ7mVlboH+M+wBwvpntB1wK3BsH9IOAy2LZXwAHAR8n6yOpCLBkmJkNNLM+iaAewFPAkwQlkjg4HwhcaGb7AN0ICudZQAugXaoN4uD/LqB7lPFh4J8x7yuAfWPcs2PYpcC5sb0OjvmeEOufKuvW1AAdaB/l2C2tbkcArYCOMe1+Cm66RwIzzWwfM9uLqEyb2Qlm9g1ZMLMLk8oS8D6wUmkugGlcS7jPewLPAjsmrrUC7onXFgInmtmzhD5yamyD96P8xPYYB3QAOgEfxvC1+kAMH06wMu9LuIeXJ8pe3W/N7D0zy6TcJOv+jZmdEE/3BD7JEj2vcuN5S+DnhImOx4B3Yv9eBvwqR/8BqB6fob8A15rZSuAaYGDs+wOz1QtAwS345ihHO6CDpOOBYYQ2J/5dIKlZ/D00D9lqmtn+ZvavDMXuHcs7ALgmylBeP/81sHtsu98BKav6O0BrSQ3j+R+iDJhZh7TySgmeA+l8lKhjhandtDHLv521+nzZt7Op1bTxWvF2+tNvOWTc67T+56VMuCQ0UbW6W7DLxWcy5f/uqWzxADSsX5O581esPp+3YAUN69dKi1OLufOXA1BSCj/+WMzWW1WP4Ym081fQsH7NSslRu2ljls2Yvfp8+bdzqN0sQ1uc81u6TnqD1jdexviLbgBCW7S87Eym/OPuSpWdolDaohDkKAQZCkWOQpChImzKFsdCcz1zHKfwGGRmy+LvAwiDPwiWnFtSkSS1IlioDjWzVVGxOVZr1jrVZo1S8ZaZ/RDTTQB2AsYDu0i6CxgMvC6pHmEQ+Yy0+gVa9r/BGpqwthWiHTCjvIpJ2h+Yb2ZfS/oWeFjSdkAzYJaZjQIws0UxfjfgfjMrjuHfSdoL2At4I8pYDUiNNMcQlMsXgBdi2Aigr8Ia0ufMbIakzsCTZlYCzJH0LkF5WgSMNLNpGcQ/Ih6j43k9gqI2DPhXtCq9ZGaV9wsL3ABcBfy1nOudCQN/zOxVSd8nrk0zs0/j748JSncZzKxY0hcKLsMdgb5AF0I7DsvRB3YABkbloyaQbKdkv10nJH0IbAW8HhXQipT7SnwexsY6paziYwntsTvl9x+A5+LfjO2XJx2AIWY2L9bncaCLmb0gqZ6kLYHmwBOEtj84lptLtmxK64uxHZZJeodwb8vr510S4TMlvQ1gZibpUaCnpP6E98/vyinvW2A3SbXNbHkifC7QOj2ypLMIE0GcV6MxR1XfJktVcvNVvyf4qt8TNP3N0ez613MYc9YVtLryPKbdNYCSH5euU96bGl/d9wRf3fcETU8+mlZ/P4fPTr+C3a45j2l3PPKTawvHyYTvquo4zubMj7kixMH908CZZpYaWIpgYZqcFrcTsCIRVEKwqnwvaR/gFwTr3G8IVpaF0TKVi2UE5TRVznkERfYvWdKcQrBoTI/nWxFcXj/Io7zVRQHjzeyADNd+RRgUHwNcKamtmd0kaTBhjdoISb/IkX957S/gRjPrt9YFqX3M/wZJb5nZ9flWJh0ze1vSDcDPKpE8/T7XKSfeUOAoYBXwJjCAoKRcRvCMKa8P3AX0NbNBCpv69E5cy9lvszCeYOl9EcDMOim42B5diXJXxDxKJa2yNX6MpYT/wdn6z+r0xOekshXKwnsES95kwqTD6QQF7RLCRE822bK1seU4z5f+wP+A5cAzqUmbtQoz+yJOQn0t6TAzGxsv1Sa8G9LjP0CwZPPyFq3LlW35zDnUbtZk9XmdZtuzYuaccoWd+cxg9rzjWgC26bA32//6F7T+52XU2HpLrLSU0hUr+Or+iu07Nm/BSho1WDNf1rB+LeYtWJEWZwWNGtRm3oKVVCuCunWr88Oi4hieSNugFvMWrKQyLJ85hzo7bL/6vHazxiz/NktbDBzMXnf3BmCbjvuw/Qm/oPWNl1Jjm62w0lJKVqzgq3s3zbYoBDkKQYZCkaMQZKgI2tCLKDcgm67kjuNUBe8BJ8ffpxIGmhDcx/qnWbdeA85XNFVI2jdbxgrr4orM7L8EC1f7aOmbJumkGEdRuQRYDGyZyGIisGvqxMzuJlgc11qjF/MqIiinbc2shZm1IKxxPIUwiG4iqUOMu6XCBiBvAH+Kv4nWyclAQ0kHxLAakvaM+Tc3s3cI1rqtgXqSWprZWDO7GRhFsIYMI7jsVotueV2Akdnai9C+p0elHUnNJDWKLoFLzewxguLcPkPd/1PBdV83UNYdM8kIQjum3Gfz2ZIu/d4NIyj470erWH2CtWtcjj6wNcHSBPD7fCqisFvqf3JEuwfopbCWNkVyp4UKl5uFjP0nR5r09svFSOAQSQ0kVSP08XfjtWEE99+hBOv1ocCK6BFQGdlSHKewTrU+0JXQ18vr50MT4U2iDACY2UyC+/xVrHFfX4vYJ3YhuLuPTVzajeD+XCl++HgsdXfdiTo7NUM1atCk+y+ZM/jtMnG2aLnT6t+NjurK0i++AuCDw3sypM1hDGlzGNPv+Q9f3PpAhZVGgElTFtG8aR2aNK5N9eqiW5dGjBi5oEycER8u4KjDgtto14Ma8smYYPgfMXIB3bo0okZ10aRxbZo3rcPEKYsqLAPAD6PGUnfXFtRpsQOqUYOmPX7FnJfS2mLXRFv8sis/Tg1t8f6hp/JOq8N4p9VhTLvzEb64qV+FlUYonLYoBDkKQYZCkaMQZKgI1WoU5X0UGm5xdBynIpwP9Jd0GcEt9A+SdgK6E9zEUrsangH8A7gdGBOVqGmssdhkolnMO/WmTG3Hdypwn6SrgBqENWWfxb8PSroglj8Y+BPwUCpDM5sclbtMHAx8GwemKYYS1lnVJ6x9vEtSHYLFolvMe7dYp1XAg2Z2d7RG3Slpa8J79Xbgc+CxGCbgTjNbKOkfCmsGSwmWrVcIm7ccEOtlwOVmNltxE5hMmNnr0b3z/aibLwF6EpTnWyWVEix452RIvjdhMJ4XZvaypHQ34BTXAU9KOo2wXnE2QbGplyXLAcD9kpYR6v0h0JjQ/hBcfLdPWOfK6wO9CS6s3wNvAzvnUZ0dyWCBShLbvgdws8Kav7nAfMKmNFSy3PLKWllO/xmfJdk7wBWSPiVYndNdRg+TlHTRPomw3vYdQl8cbGYvxmvDCG6qQ82sRNI3wKR1kC3FmFheA+AfZjZTYWObTP38ecJ6yAnA14R+lORxoKGZTcxS3rbAdDNblRZ+EGUtwhXCSkoYf/E/6Djo31CtiBn/+S9LJk6l1dXn88Mn45g7+B12OvtUGhx6AFZczKrvF/HZmVfkzrgClJRC3/un0ve6thQVicFvzmba10v546ktmDRlMSNGLuClN2Zx9cXhUwOLlqyi9y2hqaZ9vZS3h8/jsXs7UFJi9L1/KqWllZPDSkoYd+H1dBz8EKpWjRkD/suSCVPZ7doLWPjxOOa+9DYt/tyTBj8/gNLiYoq/X8Rnp5fn4V45CqUtCkGOQpChUOQoBBkqQiFuepMvssSOV47jOJsykoYDR5vZwkTYImCH1DrFnzqStgL+bWYnraf8agElca3iAcB9eboWVwmSbgUeNbMxVS2Lkx+S7gZGm9m/s8T5DcE1vkcibF/gYjM7LVv+2VxVNyb/d9haXucbnb+9elZViwDAjUc+UNUiOE5Ghv/vkHXW+sb8smve75y9Xx5SUFqmWxwdx9mcSK3LWpgI6wMMl3StlfMtx58SUYFeL0pjZEfg6WgpXgms/VXwAsLMLqtqGZz8kfQxYS3lJVnipDZU+lvapQaEnZ4dx3EKhk3Z4uiKo+M4mw1m9mGGsOtZ42LorGfMbAqQdf2q41SW+BmQXHEuLif8jfUvkeM4zrpRiJ/ZyBdXHB3HcRzHcRzHcTYCRdUzfXJ206DwtutxHMdxHMdxHMfZDFGR8j5y5iUdKWmypKmS1tqZS9LZksZK+lTScEl7JK79LaabnMenwQC3ODqO4ziO4ziO42wU1tcax/h5pXuAw4EZwChJg8xsQiLaE2Z2f4x/LNAXODIqkCcDewJNgTcl7WZmJdnKdIuj4ziO4ziO4zjORmA9Whw7AlPN7EszW0n4VNVxyQhpO8rXJXwKiRjvKTNbYWbTgKkxv6y4xdFxHMdxHMdxHGcjoKL87XaSzgKS38l5wMxS36tpBnyTuDYD6JQhj3OBi4GahG/mptJ+kJa2WS55XHF0HMdxHMdxHMfZCFRkV9WoJK7Th03N7B7gHkm/Ba4Cfl/ZvFxxdBzHcRznJ8v/HdavqkUA4Ok+21a1CPxm3canjuPkwXrcVfVboHnifIcYVh5PAfdVMi3gaxwdx3Ecx3Ecx3E2CutxjeMooJWknSXVJGx2M6hMWVKrxOmvgCnx9yDgZEm1JO0MtAJG5irQLY6O4ziO4ziO4zgbgfW1q6qZFUs6D3gNqAY8bGbjJV0PfGRmg4DzJHUDVgHfE91UY7yngQlAMXBurh1VwRVHx3Ecx3Ecx3GcjUJFNsfJhZm9DLycFnZN4veFWdL+E/hnRcpzxdFxHMdxHMdxHGcjsL4sjlWBK46O4ziO4ziO4zgbgfVpcdzYuOLoOI7jOI7jOI6zEVA1Vxwdx3Ecx3Ecx3GcLLjF0XEcx3Ecx3Ecx8mKr3F0HMdxHMdxHMdxsrIpWxw3XcmdjY6kCyRNlPR4VcuSDUnHS9ojLex2SV3Swq6WNEnSr+N5L0m9E9d7ShojabykzyQ9JGmbjVGHXGSqY+Jab0nfSvo0HjflyGu6pAbx95IM11tIGrcOsnaV9FKOOL0l9coRZ/X9kbS7pCGxfhMlPVBJ2VbXvRJpe8f+My7VhzLEuSfKOEHSssQ96S7p5Vz9KdZx/wzh7ST9MkfaFpKG5FGP6fHvWvdJ0gBJ3XPlkZ5fZdt0QxHrNiBHnDLtJaljbP8pkj6RNFhS2w0taz5ku//xObk7LSxjP9pQbOx3hqRD43vgtrQ4DSW9Wlk5UnRqvy1P3NeBp/p1pGf35mtdr1FdXHd5G57q15EH+uzL9o1qrb7Ws3tznurXkSfu60DHfbettAwjPx7N7865gFPPOo8nnn1+reufjZvAWX+5nMOO78G7I94vc+3+/o/S69yL+P2f/8KdDzyMmVVajkJoi0KQoVDkKAQZCkWOQpAhX1SkvI9CwxVHpyL8GTjczE5NBkoqNMv18cBqpUpSfeBnZjY0Ld5fgP3NbK3/wpKOBC4CjjKzPYH2wHtA43yF2MDtcjyJOmbgNjNrF48rNqAcVcWdrKljG+CujVm4pObAqUBboB0wKlM8MzvXzNoBvwS+SNyTZ83sl2a2sJIipPLc5JFUbQPnX+HnUFJj4Gng72bWyszaAzcCLTdkuRWgHQV0/6v6f4CZvQPsDfxBUo1E+DxglqSDKpt3URFcfHYrLu09lp7njqJbl0a0aL5FmThHH9GExUuKOflPIxn44gzO6bULAC2ab0G3Lo047dxRXNJ7LJec04rKGBpKSkq4o9+/uenaKxlwz228NXQE07/+pkycxg0b8NcLz+WwQzqXCR83cTLjJk7m33f24eG7/sXkKVP5bNyEigtBYbRFIchQKHIUggyFIkchyFARVL1a3keh4YqjkxeS7gd2AV6RdFGc7X1U0gjg0TjD/Ha00L0laceY7tPEsUzSIZLqSnpY0khJoyUdF+P2kvScpFfjLP8tMbxatHyMkzRW0kUxvGWM+7GkYZJaSzoQOBa4NZbZEjgRyDTrXNPMkha2ZUDq/ErgUjP7FsDMSszsYTObHMu+RtKoKNMDkhTDhyhYNz8CLoznt0n6KM6Id4h1nCLphkT79ozt8amkfqnBtKQlkv6pYPH8QFLjcuqY6/6VsUJIeklS11zpElSX9Hisw7OStoj5HBbv4dh4T2vF8CMVrHGfACfEsKJY74aJ86nxfEls/2wk708TYEbqgpmNjXnWltQ/yjNa0qExvJqkPvF+jZF0flr71JH0iqQzY/8cHNt8nKQeGWQpBrYC6plZsZnNyBAnKypr6b1a0mRJwyU9KenSRNSTYt/4XNLBkmoC1wM94v3vEZ+r1HM2WtKWQAnwXR6izKuAvNcpWN/GSmodw+tLel3BMv8QoESabP36X5I+Aw6U9FwMP07hPVEz3ssvY/haz3oMP0bSh7HObyoofClr1Or3E7AS+CFHFZPtdR7wiJm9l7poZsPN7IWKlBvPH4kyfyXpBEm3xPZ7VVHJkbSfpHdj/V6T1CSGD5F0c677n8/9S9yTJQrvpPEK7+rU8zhE0h0xz3GSOsbwbO/rQZLeBt7KUNRGfWeY2SpgIeG5TPICYZKnUrRptRUzZi1j5pzlFBcbbw6dS+dO9cvE6dypPq+8NQeAISPmsd8+264Of3PoXFYVG7PmLGfGrGW0aZUuXm4mTZlK0ybb03T7xtSoUYOfH3wQIz78qEyc7Rs3ouXOO1GkshYKCVauWklxcTGriospLilh2222rrAMUBhtUQgyFIochSBDochRCDJUBEl5H4WGK45OXpjZ2cBM4FAzS7kD7QF0M7NTCBafR8xsb+BxgkWIlIUFuBr4iGC1uxJ428w6AocSFKC6Mc92QA+CJaeHgmWnHdDMzPYys7ZA/xj3AeB8M9sPuBS4Nw70BgGXxbK/AA4CPk7WR1IRUMZfx8wGmlmfeLon8EmWJrnbzDqY2V5AHeDoxLWaZra/mf0rnq80s/2B+4EXgXOBvYBecdDdJtb5oNhWJawZ6NQFPjCzfYChwJnl1DGdixKKxC+y1CNfdie0bxtgEfBnSbWBAUCPeF+qA+fE8AeBY4D9gO0BzKwUeCxRt27AZ2Y2z8z6mNnAbAKk3Z/bgLcVlL2LtMbl89wQ1doCpwCPRHnOAloA7RJ9NEU94H/Ak2b2IHAkMNPM9on3N9OkwwpgNvBcauBbWSR1IExu7AMcBaS7FFaPz8pfgGvNbCVwDTAw3v+BhP6fsm4eDCwzs2/M7IRc5ZtZhwqIOz9a3+6LZQJcCwyPlvnngdSkUa5+/WHs1+8TnnGi7OOADkAn4MMYvtazHsOHE7wJ9gWeAi5PyLr6/WRm75nZhTnaIdleuZ7/vMqN5y2BnxMmex4D3on9cxnwq6g83gV0j/V7GPhnIr987n9FqAt8FO/Xu4T7l2KLeK/+HOWA7O/r9lHuQzKUUxXvjFIgfYr+I0K/qhQN69dk7vwVq8/nLVhBw/q10uLUYu785QCUlMKPPxaz9VbVY3gi7fwVNKxfs8IyzF/wHY0arBkEN2ywHfMXLMgr7Z6td2fftntxYq+z6P77M+mw7z7s1HyHCssAhdEWhSBDochRCDIUihyFIENFUFFR3kehUXgSOZsSg8wsNeN7APBE/P0osNpfRlIr4FbgN3FW+AjgCkmfAkOA2sTBJvCWmf1gZsuBCcBOwJfALpLuUnAhXSSpHnAg8EzMpx/BCpWJJqxtVWlHwmKVDUltowL2RWJ2/9BocRhLGBTumUiSPpgZFP+OBcab2SwzWxHr1Rw4jDBYGhXrchjBugvBUpJa6/MxQfnJh6Sr6mt5psnGN2Y2Iv5+jHB/dwemmdnnMfwRoAvQOoZPMTOL8VM8DPwu/j6dNZMAFcLM+gNtgGeArsAHUYHrnCrPzCYBXwG7EQac/cysOF5LWuJeBPqb2X/i+Vjg8GjpOdjMMlmq/g2cD7wNPBEtIZdJOq8S1TkIeNHMlpvZYoISm+S5+Dfb/R8B9JV0AbBNqp4VpLyFT8nwTLJ0YU2bDwa+j+HZ+nUJ8N+Yphj4IiqaHYG+Mc+DgWE5nvUdgNfic3gZZZ/D5PtpnYjP+kRJd1Si3Ffie28sQalJTUSMJbTh7oSJpDdi/a6K+afI5/4nyXUfS1nzjko9yymeBLDg1r9VnJDJ9r5+I+1ZSlIV74xvCS6rSeYCTdMjSjpLwRPko9lfpT9ymw/fzpzFVzNm8MzD9/NM/36MHjOOMeMnVrVYjvOTxtc4Oj9VfswVIQ76niZYymalgoETE4rNjmaW+k+2IpG8hDDb/j3BGjMEOBt4iNB3FybySK11y8QywmAnJdN5hIH2HeXEBxhPmE3HzMbGWfhXgDpxdvxewkx7W8JMee1E2vR2SdWpNK1+pYQZdxGstal67G5mvWOcVXEgtbo9ssicjWLKPu+1y4tYDumD0UrtrmBm3wBzJP2coCS8Upl8Yl4zLbgPH0eo316VzGoEcKSiT0gc1LYnDOxvkHRNhjTdgBFm9g+CJf4+wpqzFyspQzZSfabc+29mNwFnEKzfIxRdOSvIAiB9V4DtgPkVkSVBtn693MxKEnGHEqytq4A3CUpGZ2AY2Z/1uwjW/7bAn8j+HFaE1c8/gJl1InhNpHz8KlLuiphHKWWf5+TzPz5Rt7ZmdkR6evJ//vO5j0msnN+p82zv62xtXBXvjDuB/6U9s7XJ4AZvZg9Y8AzZf/udjik3w3kLVtKowRrLRcP6tZi3YEVanBU0ahC6QLUiqFu3Oj8sKo7hibQNajFvwcos4memQf3tmDt/jYVx3vzvaFC/fpYUaxj2wUj22G036tSpQ506dei4376Mn/R57oQZKIS2KAQZCkWOQpChUOQoBBkqRFFR/keBUXgSOZsq7wEnx9+nEgZ8EGaL+5vZsETc14DzUwN1Sftmy1hhHViRmf2XMBvf3swWAdMknRTjSNI+McliYMtEFhOBXVMnZnY3weJ4ZZZibwT6SErO/NeJf1ODxPlRMa7QrpMZeAvoLqkRgKTtJO2UI016HXMxHWgXLWPNCQOwirCjpAPi798SXPUmAy0kpdr2NILr26QYnlp7eQpleYhgUXgmTXkAgmKfy3IX10Ol1odtD9QnWBuGEd3aJO1GsIxMBt4A/qS4iYek7RLZXUOwkt0TrzUFlprZYwRLeXvWZgzQM/6+nGBNWxEHuRVlBHCMwpq+epR1ey6PMvdfUss4wXEzYaOeMoqjpGaSMq1DSzIFaBotf8Q+uA/waY50Qwl9AklHsUZpqUi/HkZwxXzfwoYm9QnWqXE5nvWtCfcd4Pc55CSm7yjpPzmi3UNwJT8wEZbcaaHC5WZhMtAw9XxJqiFpzxxpsj3/o4CD4nOBwm6qtYBU3yxizTsr9Syn6BHTdAZ+iNb2Cr2vE2y0d0aCvwM/N7PrE2G7EdyfK8WkKYto3rQOTRrXpnp10a1LI0aMLOsmOuLDBRx1WNg3retBDflkTDC6jxi5gG5dGlGjumjSuDbNm9Zh4pRFFZahdatd+XbmLGbNnsOqVat4e9gIDuyU3ya5jRo24LPxEygpKaG4uJjPxk1gp+bNKiwDFEZbFIIMhSJHIchQKHIUggwVYVO2OBbabpjOpsv5QH9JlxHcQv8QB4ndgd0knR7jnQH8A7gdGKOw1nAa2QfLzWLeqYmOv8W/pwL3SboKqEFYa/RZ/PtgdNvrDgwmWAUeSmVoZpPTlIcymNnLChswvKKwocdCwuDjNTNbKOnBeD6bcnbUzBczmxDr8Hqs4yrCWr2vsiQrU0fLvM4xyQhCO08gKNLZ1m9lYjJwrqSHYx73mdlySX8guBBWJ7TD/Wa2QtJZwGBJSwlKQXKQO4jgblaey1nrKG82jgDukLQ8nl9mZrMl3UvoE2MJVsheUZ6HCAPIMZJWEazEyU8WXAg8rLAh01uEdVylhHtxTobyfwf0k3QJsBzoA5wo6WIz65tD9jKY2ShJgwjK6ByCpTPXRi7vsMZ98Eags8JGQKUEa1m6VaYJoT2yybFCUk/Cs1abUPczynHVTXId8KSk8YQJpK9jfhXp1x8SdixO7Xw8Btg+YZ0r71nvTeh/3xPchnfOISuEyYSsLqyxL/UAbpbUjODuOJ+wKQ2VLLe8slYqfPLkTklbE/4v3064j+VR5v4n1/qZ2RxJFwIvx3ZfApwSLZ4QrIQdY1vOJSqLkeWSRhPaOPXOruj7OsXGfGek2JYwAZLkUML/gEpRUgp9759K3+vaUlQkBr85m2lfL+WPp7Zg0pTFjBi5gJfemMXVF4dt/hctWUXvW4JBdtrXS3l7+Dweu7cDJSVG3/unUlqao8AMVKtWjQv+9Ecu7/1PSktLOarboey8Y3Mefvwpdt+1JQd16sCkKVO5+v9uZcmSH3l/1Mf0f+JpBtxzG4cc+DNGjxnH6edfggQd2rfjwI6V+zJLIbRFIchQKHIUggyFIkchyFARVK3wdkvNF9k6fM/HcTYVJA0HjrbE5w8kLQJ2iBYNZyMRLSC3mVnGDSsUvt92goVNQH4SSKpnZksUdp4cCpxlZhVV7rPlfx7wtZkNyhl5M0fSrcCjZjamqmWpCiQtMbN6GcKHEHaS/mjtVFVLrndGjFOTMJG3g5ktTYQPBY6LSx4y0vmYdwtiIPR0nw3//bhc/ObScpvJcRxg+P8OWWcz4MKbz8v7nbPNX+8uKLOjWxydnwqXECwNCxNhfYDhkq61DN9ydNY/kq4gWPDK3R7fzPKxZmxuPCBpD4Ib9CPrU2mE1e7ZDmBml1W1DE7+5PPOiNb2O4ABaUpjQ6BvNqXRcRxnY1OILqj54oqj85PAzD7MEHY9a1zPnI1A3MTlpqqWo9Aws99WtQzOT4NM1sYY3nUji5IX+bwzzOwd1t5Nlbhe9oUNI5njOE4lWb3yatPDFUfHcRzHcRzHcZyNgFscHcdxHMdxHMdxnKxsypvjuOLoOI7jOI7jOI6zMSjA7zPmiyuOjuM4juM4juM4GwF3VXUcx3Ecx3Ecx3Gy45vjOI7jOI7jOI7jOFnZhC2Om67K6ziO4ziO4ziOswkhFeV95M5LR0qaLGlq/O5t+vWLJU2QNEbSW5J2SlwrkfRpPAblI7tbHB3HcRzHcaqY31z6fVWLwN9ePauqRQDgxiMfqGoRHGeDoerrZ1dVSdWAe4DDgRnAKEmDzGxCItpoYH8zWyrpHOAWoEe8tszM2lWkTLc4Oo7jOI7jOI7jbAyk/I/sdASmmtmXZrYSeAo4LhnBzN4xs6Xx9ANgh3UR3RVHx3Ecx3Ecx3GcjUFRUd6HpLMkfZQ4km4BzYBvEuczYlh5/BF4JXFeO+b5gaTj8xHdXVUdx3Ecx3Ecx3E2BrktiasxsweAdfbdltQT2B84JBG8k5l9K2kX4G1JY83si2z5uOLoOI7jOI7jOI6zEVDRenP4/BZonjjfIYaVLU/qBlwJHGJmK1LhZvZt/PulpCHAvkBWxdFdVR3HcRzHcRzHcTYGKsr/yM4ooJWknSXVBE4GyuyOKmlfoB9wrJnNTYRvK6lW/N0AOAhIbqqTEbc4Oo7jOI7jOI7jbARUbf3sqmpmxZLOA14DqgEPm9l4SdcDH5nZIOBWoB7wjIKL7NdmdizQBugnqZRgSLwpbTfWjLji6DiO4ziO4ziOszEoyn+NYy7M7GXg5bSwaxK/u5WT7j2gbUXLc8XRcRzHcRzHcRxnY5DbBbVg2XQldwoCSRdImijp8aqWJRuSjpe0R1rY7ZK6pIVdLWmSpF/H816SeqfF+VTSUxtc6PWApPcqmW6IpBY54gyQ1DUR/6PEtf3jQuvU7ztz5NVC0rhyrvWS1LRiNag8krpKGpAjTotU/eJ5x9gGUyR9ImmwpArP5G0IJLWT9MtyrnWV9NLGlilNht6SLl2H9AMkdc8RZ3oe+azu85LqSbpP0hfxfn4s6czKyri+kfT3LNeWpJ33knT3hpeqTJlDJO2/DumnxzU35V1Pf/6GxS3lt0+L95SkVpWVI0Wn9tvyxH0deKpfR3p2b77W9RrVxXWXt+Gpfh15oM++bN+o1uprPbs356l+HXnivg503HfbTVoGgIZHHMwh416l68TXaXnZ2o/EjmedzMGjB9H5oxc4YMgT1GvTssz12s2b8IvvP2GXi06vtAyF0haFIEchyFAochSCDHmz/r7juNFxxdFZV/4MHG5mpyYDJRWaNft4YLXiKKk+8DMzG5oW7y/A/mb2fKZMJLUh+JEfLKnuhhF13Um1v5kduBGLbSTpqPRAM/vIzC5Yh3x7ARtFcaxMv5XUGHga+LuZtTKz9sCNQMvsKdet3ArQDsioOFYFBfhuyMRDwPdA6n4eCWyXb2IFNuT/13IVx6pA0vpZsFNJzOxg4CPgV2mX7gMuX5e8i4rg4rNbcWnvsfQ8dxTdujSiRfMtysQ5+ogmLF5SzMl/GsnAF2dwTq9dAGjRfAu6dWnEaeeO4pLeY7nknFZUZjPFQpAhJcied17DyGPO4N29f0XTk49eSzGc+eT/GLbvsQzf/3i+6PMQbW79W5nre9x6BfNeHVZJAQqnLQpBjkKQoVDkKAQZKixwvkeBUXgSOZsMku4HdgFekXRRtBw8KmkE8GicFX5b0hhJb0naMab7NHEsk3SIpLqSHpY0UtJoScfFuL0kPSfp1WjNuSWGV4uWhnGSxkq6KIa3jHE/jrPQrSUdCBwL3BrLbAmcCLyaoVo1zSw5Y78MSJ6fAjwKvA4cl2iLDpLek/RZrMOWUcY+UcYxks6PcfeT9G6U8TVJTWL4BZImxLhPxbBDEm01OuYrSbcm6t4jxu0a6zyIuDNW0vog6TJJo2L+18WwugrWsc9ifj1i9O+Akhxd4AdgZeL8VsJ2z2VQwqolqaGkNySNl/SQpK8SloVqkh6M116XVEfBkrQ/8Hhsg4MlPRfzOi72n5qSakv6Moav1Qdi+DGSPozt+GZU+FIWr9X9Ntbphxx1L4ltBHAe8EhcLwCAmQ03sxcqUm48fyTK/JWkEyTdEu/xq5JqxHTl9Z8hkm6O/e/z2FY1geuBHrH9epAHkk6J5Y6TdHMMO0lS3/j7wkR77xLrkEu22xWs0hdmKHIfSe8rPONnxjTl9XNJulvSZElvAo1i+M8lvZCow+GSUhNA8/Ko9ndAicL7oSNwlZmVApjZPDNLtUM9hffZJ1Gu1LuqRZTpP8A4wuTSJIX31OeSHpfUTdKIWM+OMV1F3303AXXi/ayQp0eU5X4F69znko5OlPWi1ljNr02k6Rll+1RSP0UlUdISSf+S9BlwQIbiTotpxiXqup2kFxTeQR9I2juG11d45sdLeghQDL9e0l8SsvxT0oWUff5SzAa2SQsbBnTTOkxWtGm1FTNmLWPmnOUUFxtvDp1L5071y8Tp3Kk+r7w1B4AhI+ax3z7brg5/c+hcVhUbs+YsZ8asZbRptdUmKQPANh33ZukXX7Fs2gxs1SpmDhxM42MOKxOnePGPq39Xr1sHzFafNz72MJZO/5bFE6ZUqnwonLYoBDkKQYZCkaMQZKgQ1arlfxQYrjg6lcbMzgZmAoea2W0xeA+gm5mdAtxFGFDvDTwO3BnTtTOzdsDVhFni9wgKx9tm1hE4lKDkpSx67YAehEW8PSQ1j2HNzGwvM2sL9I9xHwDON7P9gEuBe+OAfhBwWSz7C8K2wx8n66NgIbBkmJkNNLM+iaAewFPAkwQlkjg4HwhcaGb7AN0ICudZQAugXaoN4uD/LqB7lPFh4J8x7yuAfWPcs2PYpcC5sb0OjvmeEOufKuvW1AAdaB/l2C2tbkcArQgD4nbAfgpuukcCM81sHzPbi6hMm9kJZvYNWTCzC5PKEvA+sFLSoVmSXUu4z3sCzwI7Jq61Au6J1xYCJ5rZs4Q+cmpsg/ej/MT2GAd0ADoBH8bwtfpADB9OsDLvS7iHSUvE6n5rZu+ZWSblJln3b8zshHi6J/BJluh5lRvPWwI/J0x0PAa8E/v3MuBXOfoPQPX4DP0FuNbMVgLXAANj3x+YrV4ACm7BN0c52gEdJB1PGIQfHKMdDCyQ1Cz+HpqHbDXNbH8z+1eGYveO5R0AXBNlKK+f/xrYPbbd74CUVf0doLWkhvH8D1EGzKxDrnon+vyewGcppTEDy4FfR0vkocC/pNX+RK0I75w9ga+AXYF/Aa3j8VugM6FfpqyGFXr3mdkVwLJ4P8t4euRJC8J74FfA/ZJqx/COhAm1vYGTFFzM28TyD4rPXwmQKrMu8GF8dwzPUM4WMc2fifcBuA4YHd9xfwf+E8OvBYbHdnueNe+Fhwn3OPV+Phl4LO35S1FK8AZZTbyHUwl9qFI0rF+TufNXf/aMeQtW0LB+rbQ4tZg7fzkAJaXw44/FbL1V9RieSDt/BQ3r19wkZQCo3bQxy2bMXn2+/Ns51G7WeK14O53zW7pOeoPWN17G+ItuAKBa3S1oedmZTPnHunlNF0pbFIIchSBDochRCDJUiPX3OY6NzqbgMuRsWgwys2Xx9wGEwR8ES84tqUgK605uJSidq6Jic6zWrHWqzZrBw1tm9kNMNwHYCRgP7CLpLmAw8LqkeoRB5DNrxnGUfXOsoQlrWyHaATPKq5jCmp35Zva1pG+BhyVtBzQDZpnZKAAzWxTjdwPuN7PiGP6dpL2AvYA3oozVgFmxiDEE5fIF4IUYNgLoGy0Lz5nZDEmdgSfNrASYI+ldgvK0CBhpZtMyiH9EPEbH83qEQe4wwsD3ZuAlM6u8D1HgBuAq4K/lXO9MGPhjZq9K+j5xbZqZfRp/f0wY4JYhbj39RRzQdgT6Al0I7TgsRx/YARgYlY+aQLKdkv12nZD0IbAV8HpUQCtS7ivxeRgb65Syio8ltMfulN9/AJ6LfzO2X550AIaY2bxYn8eBLmb2QrS2bUn44PAThLY/OJabS7ZsSuuLsR2WSXqHcG/L6+ddEuEzJb0NYGYm6VGgp6T+hPfP7yrZBquRdCVwEtDIzJoSrGH/FydeSgnPf2r0/JWZfZBIPs3MxsZ8xhPeZRbvb4sYp6LvvqwTOuWQnBB7OipUUxSsxq1j+BtmtiCW9Ryh/YuB/YBR8Z7WAVLfASsB/pulzCcBzGyopK0kbRPzPDGGvx0tjVsR7ukJMXxw6r1gZtMlLVD4DlljgtK5oJzyvgW6ZgifS3B1T58oPIswuUfLtpew/U7HZKmKUxG+uu8JvrrvCZqefDSt/n4On51+Bbtdcx7T7niEkh+XVrV4jlP1FODaxXxxxdFZ3/yYK0Ic3D8NnGlmqYGlCBamyWlxOwErEkElBKvK95L2AX5BsM79hmBlWRhnuXOxjDBAS5VzHkGR/UuWNKcQLBrT4/lWhEHQB+WmWBsB480sk2vXrwgDqGOAKyW1NbObJA0mrFEbIekXOfIvr/0F3Ghm/da6ILWP+d8g6S0zuz7fyqQTB4M3AD+rRPL0+1ynnHhDgaOAVcCbwACCknIZwYuivD5wF9DXzAYpbOrTO3EtZ7/NwniCpfdFADPrpOBie3Qlyl0R8yiVtMpstZ9XKeF9na3/rE5PfE4qW6EsvEew5E0mTDqcTlDQLiEoO9lky9bGluM8X/oD/yNYBZ9JTdpUkAkE19kiMys1s38C/9Qat+9TgYbAflHJn86ad0nG+xkpTZyn7idU8N2Xh/zLJNWM1mYIazPnJ66X19aZwkXwGvkba7M8Ku/lsb7u6UOEdc7bs8ZymYnnCNbqSWbWOhFem/C+LyuM2QME7wQ6H/NuubLNW7CSRg3WzD82rF+LeQtWpMVZQaMGtZm3YCXViqBu3er8sKg4hifSNqjFvAUrqSiFIAPA8plzqLPDmv2HajdrzPJv55Qbf+bAwex1d28Atum4D9uf8Ata33gpNbbZCistpWTFCr66t2L76hVKWxSCHIUgQ6HIUQgyVIgCXLuYL5uu5M6mwHsE1yIIg62UNethoH+ades14PyUy1ecYS4XhXVxRWb2X4KFq3209E2TdFKMo6hcAiwGtkxkMZHgRgaAmd1NsDiutUYv5lVEUE7bmlkLM2tBWON4CmEQ3URShxh3y7im5g3gT6n1NdE6ORloKOmAGFZD0p4x/+Zm9g7BWrc1UE9SSzMba2F91SiCdWAYwW2tWnTL6wKMzNZehPY9PSrtSGomqVF0CVxqZo8RFOf2Ger+H8U1SnlyA+VvSDGC0I4p99l8ti9Lv3fDCAr++9EqVp9g7RqXow9sTbBKAPw+n4oo7Jb6nxzR7gF6KaylTZFclV/hcrOQsf/kSJPefrkYCRwiqYHCerZTgHfjtWEEN8uhBOv1ocCKaBWrjGwpjlNYp1qfYDUaRfn9fGgivEmUAQAzm0lwn7+KNe7rZVBYn9isPEHMbCrBPfoGrVnPV5u47o5wP+dGpfFQghVwXajQuy+ySnHNawbeBXrGvOoQnrd3EtdPklSksJZzF8J9AzhcYQ1iHcJmYiOAt4DuklLrSLeTlG99U2tSOwM/xD4yjOjqGidR5sdndijBjReFDbaS74XnCS71HQhtVR6/A15NUxoBdiO4tFeKSVMW0bxpHZo0rk316qJbl0aMGFnW6DniwwUcdVgwOnc9qCGfjAmOFCNGLqBbl0bUqC6aNK5N86Z1mDhl0SYpA8APo8ZSd9cW1GmxA6pRg6Y9fsWcl94uE2eLXdd0j0a/7MqPU78C4P1DT+WdVofxTqvDmHbnI3xxU78KK41QOG1RCHIUggyFIkchyFAhNuFdVd3i6GxIzgf6S7qM4Bb6hzjo6A7sJim1H/cZwD+A24ExUYmaxhqLTSaaxbxTkx+pGfFTgfskXQXUIKwp+yz+fVDSBbH8wcCfCLPZAJjZ5KjcZeJg4Ns4ME0xlLDOqj5hkHRXHHQtI6zJeogwaBkjaRXwoJndHa1Rd0ramvAM3g58DjwWwwTcaWYLJf0jDk5LCZatVwibtxwQ62XA5WY2W3ETmEyY2esK7p3vx/HpEsLgclfCmqpSggXvnAzJ9yYMxvPCzF6WVN5mJNcBT0o6jbBecTZBsamXJcsBhLVYywj1/pDgtpbaEXcMsH3COldeH+hNcGH9Hngb2DmP6uxIBmtFktj2PYCbo0Iyl2DhSVluK1NueWWtLKf/jM+S7B3gCkmfEqzO6S6jh0lKumifRFhv+w6hLw42sxfjtWEEN9WhZlYi6Rtg0jrIlmJMLK8B8A8zm6mwsU2mfv48YT3kBOBrQj9K8jjQ0MwmphcS3xe7svbGKumcQZhImSppAaEPpCZDHgf+p+Bu+lGq/utARd99ECxlYyR9kmGd44VAv/iuE/AfK7t79NcEBXwr4GwzWx7fCSMJrqc7ENYRfgQQn6PXo2yrgHMJ6zdzsVzSaMIzmHrX9ya4+I8BlrJmIiX1XhhPmHD8OpVJ7FfvEDwJslk4twXK7LqisBHVMjObnTlJbkpKoe/9U+l7XVuKisTgN2cz7eul/PHUFkyaspgRIxfw0huzuPrisM3/oiWr6H1L6HrTvl7K28Pn8di9HSgpMfreP5XS8lbOFrgMAFZSwrgLr6fj4IdQtWrMGPBflkyYym7XXsDCj8cx96W3afHnnjT4+QGUFhdT/P0iPju9vFULlaNQ2qIQ5CgEGQpFjkKQoUIU4NrFfJEldrxynJ8SkoYDR5vZwkTYImCH1DrFnzoK64/+bWYnraf8agElca3iAcB9eboWVwmSbgUeNbMxVS2Lkx8K3ywcbWb/znBtL+B0M7t440tW9Sh8n/QlC5tOJcN7ET5DdF5VyJWNqLB+ApxkZuVuxynpXmCsmd2XCLsIWJSpLyTJ5qr6U+Nvr55V1SIAcOORD1S1CI6TkeH/O2SdzYDLX/t33u+c2r/4Y0GZHd3i6PyUSa3LWpgI6wMMl3StlfMtx58SUYFeL0pjZEfg6TgYXAkUzEfVM2Fml1W1DE7+SPqYsM7wkkzXzWwc8JNUGjdFJO0BvAQ8n0NpHEqwSt+YdmkhYWM2x3GcwmETtji64uj8ZDGzDzOEXc8aF0NnPRMHf/ms4XKcCmPhMyBOOZhZr3LCBxBcwgsKM5tAWIeZK16XcsIzrnN1HMepUgpw7WK+uOLoOI7jOI7jOI6zMdiEd1V1xdFxHMdxHMdxHGcjYG5xdBzHcRzHcRzHcbLiaxwdx3Ecx3Ecx3GcbFhRtaoWodK44ug4juM4juM4jrMxcIuj4ziO4ziO4ziOk5VNeI1jXiqvpIMk1Y2/e0rqK2mnDSua4ziO4ziO4zjOZkRRUf5HgZGvxfE+YB9J+xA+rPwQ8B/gkA0lmOM4juM4zk+Fp/tsW9Ui8BseqGoRABj4r+2qWgR6XPJdVYvgbKZsyruq5qvKFpuZAccBd5vZPcCWG04sx3Ecx3Ecx3GczQsrqp73UWjkK9FiSX8DegJdJBUBNTacWI7jOI7jOI7jOJsZPwGLYw9gBfBHM5sN7ADcusGkchzHcRzHcRzH2cwwFeV9FBr5SnSRmfU1s2EAZvY1sOeGE8txHMdxHMdxHGczQ8r/yJmVjpQ0WdJUSVdkuH6xpAmSxkh6K7m5qaTfS5oSj9/nI3q+iuPhGcKOyjOt4ziO4ziO4ziOo6L8j2zZSNWAewg62R7AKZL2SIs2GtjfzPYGngVuiWm3A64FOgEdgWsl5dyhK6tEks6RNBbYPWqqqWMaMDZX5o7jOI7jOI7jOE7ApLyPHHQEpprZl2a2EniKsJHpmrLM3jGzpfH0A8JyQ4BfAG+Y2Xdm9j3wBnBkrgJzbY7zBPAKcCOQNH8uNjPfp9hxHMdxHMdxHCdPTNXyjivpLOCsRNADZpb6bk4z4JvEtRkEC2J5/JGg15WXtlkuebIqjmb2A/ADwfRZDWgc09STVC+udXQcx3Ecx3Ecx3FyUJFNb6KSuM4fWJXUE9gfOGRd8snrcxySzgN6A3OA0hhswN7rUrjjOFWHpAuAc4BPzOzUqpanPCQdD3xuZhMSYbcDz5nZ0ETY1cCpwN/M7HlJvYAWZtY7Xu8JXA5UA4qBUcClZrZwo1QkC5nqmLjWGzgTmBeDXjWztRbAJ+JPJ6xnmC9piZnVS7veAnjJzPaqpKxdCe12dJY4vYHpZjYgS5xexPsjaXegH7ANUAsYZmZnlZc2S57TiXWvRNrewMmEvnG1mT2fIc49wEFATWBnYHK8dANwOvDbbP1J0hBC232UFt4OaGpmL2dJ2wIYYGZdc9Rjupm1yHSfJA0g3Ptns+WRnh+VbNMNRaxbLzPrJWlLYDjwPXCkmS1PxHsTOCm6YVWaTu235cIzd6WoSLz0xiwee/abMtdrVBdXXdya3VtuyaLFq7jmlgnMnrsCgJ7dm3P04U0oLTVuf2AqI0dXTpSRH4/m7of6U1JSyq+OOIzfdv91meufjZvAPQ8N4IvpX3HNZX/hkIMOWH3t/v6P8sFHn2Bm7Ndub84/8w+okp8DKJi2eLA/paWl/PLww/jtSRna4sH+fDn9K66+/KIybdGv/6N8MOrj1W1x3lmnb9JtUQgyFIochSBD3qy/3VK/BZonzneIYWWLk7oBVwKHmNmKRNquaWmH5CowX8n/AuxuZnuaWdt4uNLoOJs2fwYOT1caJRXaF2ePJyz6BkBSfeBnSaUx8hfCADfTgP9I4CLgKDPbE2gPvEfwosiLDdwux5OoYwZuM7N28ShXadyEuZM1dWwD3LUxC5fUnDDp0BZoR5hUWAszO9fM2gG/BL5I3JNnzeyX6zAJkcpzkyd6J23I/Ms8h2a22Mz2AZYTlPokjxLec5WmqAguPrsVl/YeS89zR9GtSyNaNN+iTJyjj2jC4iXFnPynkQx8cQbn9NoFgBbNt6Bbl0acdu4oLuk9lkvOaUVRJcaLJSUl3NHv39x07ZUMuOc23ho6gulflx0UN27YgL9eeC6HHdK5TPi4iZMZN3Ey/76zDw/f9S8mT5nKZ+PWmp/Ki4Jpi/sf4qbeV9L/ntt4e+jwzG3xl0xtMYlxEyfx0F3/4t9392XylC/4bNz4igtBYbRFIchQKHIUggwVYT2ucRwFtJK0s6SahMnPQckIkvYlTMwea2ZzE5deA46QtG3cFOeIGJaVfJvmG4LLquM4mwGS7gd2AV6RdJGk3pIelTQCeFRSC0lvJ7Zv3jGm+zRxLJN0iKS6kh6WNFLSaEnHxbi9JD0n6dW41XNqJ69qkgZIGidprKSLYnjLGPdjScMktZZ0IHAscGsssyVwIvBqhmrVNLMlifNlQOr8SoL15VsAMysxs4fNbHIs+xpJo6JMDyhOQUsaIul2SR8BF8bz2yR9JGmipA6xjlMk3ZBo356xPT6V1C81mJa0RNI/JX0m6QNJjcupY67710vS3Ynzl6IVJl+qS3o81uFZSVvEfA6L93BsvKe1YviRkiZJ+gQ4IYYVxXo3TJxPjedLYvtnI3l/mhDWVwBgZmNjnrUl9Y/yjJZ0aAyvJqlPvF9jJJ2f1j51JL0i6czYPwfHNh8nqUcGWYqBrYB6ZlZsZjMyxMmKpOmSGsTfVytsjz5c0pOSLk1EPSn2jc8lHRz/2V8P9Ij3v0d8rlLP2WgFq1oJkM/eAvNyR1kt73WSPont2zqG15f0uqTxkh4ClEiTrV//S9JnwIGSnovhxym8J2rGe/llDF/rWY/hx0j6MNb5TUmNY3iZ9xOwkrXHJLMJFuskg4BT8mmP8mjTaitmzFrGzDnLKS423hw6l86d6peJ07lTfV55aw4AQ0bMY799tl0d/ubQuawqNmbNWc6MWcto02qrCsswacpUmjbZnqbbN6ZGjRr8/OCDGPFhGaM12zduRMudd6IobaApwcpVKykuLmZVcTHFJSVsu83WFZYBCqctmiXbostBvPdh2Xme0BYtKEqz6khi5cpVoS1WFVNcUsy222xTYRmgMNqiEGQoFDkKQYaKsL6+42hmxcB5BIVvIvC0mY2XdL2kY2O0W4F6wDPx3T0opv0O+AdB+RwFXJ/P/jX5Ko5fAkMk/U3heyAXS7o4z7SO4xQYZnY2MBM41Mxui8F7AN3M7BSCxeeR6FnwOMEiRMrCAlwNfESw2l0JvG1mHYFDCQpQ3ZhnO6AHwZLTQ8Gy0w5oZmZ7mVlboH+M+wBwvpntB1wK3Gtm7xEGf5fFsr8gWBU+TtZHUhHBfT5Zx4Fm1iee7gl8kqVJ7jazDtF9sw6QdMOsaWb7m9m/4vlKM9sfuB94ETgX2AvoFQfdbWKdD4ptVUKwZgHUBT6IFpKhwJnl1DGdixKKxC+y1CNfdie0bxtgEfBnSbWBAUCPeF+qA+fE8AeBY4D9gO0BzKwUeCxRt27AZ2Y2z8z6mNnAbAKk3Z/bgLejsneRpG1i+LkhqrUlKACPRHnOAloA7RJ9NEU94H/Ak2b2IGGXuJlmtk+8v5kmHVYQFI/nUspyZZHUgTC5sQ9hi/T906JUj8/KX4Br40541wAD4/0fSOj/KevmwcAyM/vGzE7IVb6ZdaiAuPPNrD1wXywTwvbsw6Nl/nkgNWmUq19/GPv1+4RnnCj7OKADYcOGD2P4Ws96DB9O8CbYl7A74OUJWVe/n8zsPTO7MK0upQQ39GRbfA/UUvBSqBQN69dk7vwVq8/nLVhBw/q10uLUYu784CFbUgo//ljM1ltVj+GJtPNX0LB+zQrLMH/BdzRqsKYKDRtsx/wFC/JKu2fr3dm37V6c2Ossuv/+TDrsuw87Nd8hd8IMFE5bNFh93qB+feYtyG+vxj1b7067tnvS/fdnctLvz6TDvu026bYoBBkKRY5CkKFCrMfvOJrZy2a2m5m1NLN/xrBrzCylIHYzs8YJD5ljE2kfNrNd49G/vDKS5Ks4fk3YprUmsGXicBxn82GQmaWsRAcQdlWGMMO/2udHUivCDNZvzGwVwb3hCkmfEvzjaxMHm8BbZvZDXHc0AdiJMBG1i6S7FFxIF0mqBxxInBEjuFU0KUfOJqxtVWlHwmKVDUltowL2RcL6dGi0dIwFfk5QNFOkK0ApN5CxwHgzmxXXDHxJWGtwGEHBGhXrchjBugvBUvJS/P0xQfnJh6Srak5Xkjz4xsxGxN+PEe7v7sA0M/s8hj8CdAFax/ApZmYxfoqHgd/F36ezZhKgQsR/WG2AZwhrLj6IClznVHlmNgn4CtiNoKT2i7OtqZnTFC8C/c3sP/F8LHC4pJslHWxh07d0/g2cD7wNPBGtp5cprO+vKAcBL5rZcjNbTFBikzwX/2a7/yOAvgrrkLdJ1bOCWB7hmWTpwpo2H0xYOwjZ+3UJ8N+Yphj4IiqaHYG+Mc+DgWE5nvUdgNfic3gZZZ/D5PspE9+Sed+FuUDT9EBJZyl4Dnw0+6v0W7T58O3MWXw1YwbPPHw/z/Tvx+gx4xgzfmJVi1UlfDtzFl/P+Jan+/fj6QGptqic267jrAulqpb3UWjkpTia2XVmdh1wa+p3PHccZ/Phx1wR4qDvaYKlbFYqGDgxodjsaGapkcmKRPISgrXle4I1ZghwNvAQ4V20MJFHaq1bJpYRlNOUTOcRBtp3ZBF9PGFdI2Y2NlpMXgHqRAvWvUD3aNl6MJk/a7dLqk6lafUrJVjpRLDWpuqxu8UNeoBVUfla3R5ZZM5GMWXf37XLi1gO6UpFeUpG9kzMvgHmSPo5QUl4JUeSbHnNjLOfxxHqV6nNewh94UgpTNVGRbg9QYG8QdI1GdJ0A0aY2T8Ilvj7CGsOX6ykDNlI9Zly77+Z3QScQbB+j0i5claQBUD6x5y3A5Kb3OSUJUG2fr3czEoScYcSrK2rgDcJEwCdgWFkf9bvIlj/2wJ/IvtzmM4jBAt5+sRKbTK4TZvZAxY8Cfbffqdjys103oKVNGqwxnLRsH4t5i1YkRZnBY0aBFGrFUHdutX5YVFxDE+kbVCLeQtW5qjG2jSovx1z56+xMM6b/x0N6udnRB32wUj22G036tSpQ506dei4376Mn/R57oQZKJy2WNOF5y9YQMP62+WVdtgHI9lj91Zl2mLCJtwWhSBDochRCDJUhPXlqloV5CWRpAMkTQAmxfN9JN2bI5njOJsu7xEWWUNwRxsWfz9MsOYMS8R9DTg/NVBXWIhdLgrrwIrM7L/AVUB7M1sETJN0UowjSfvEJIsp6+EwEdg1dWJmdxMsjldmKfZGoI+kpF9Snfg3NTidHxXj7tnkz4O3gO6SGgFI2k7STjnSpNcxF9OBdtEy1pygtFWEHSWlthr8LcFFcDLQQlKqbU8D3iW891tozdrL9DVjDxEsVM+kKQ9AUOxzWe4U1lDWiL+3B+oTLEjDiO6QknYjWLInEzxg/qS4UYqk5MjxGoKV7J54rSmw1MweI1jK22cQYQzQM/6+nGBNWxEV44oyAjgmrumrR1m35/Ioc/8ltYwTHDcT1p6UURwlNZP0Vo48pwBNo+WP2Af3AT7NkW4ooU8g6SjWKJ8V6dfDCK6475vZPML93B0Yl+NZ35o1OwL+Poec6ZwL9DGz1a7c8Z20PeF5qRSTpiyiedM6NGlcm+rVRbcujRgxsqyb6IgPF3DUYWGfra4HNeSTMcFIO2LkArp1aUSN6qJJ49o0b1qHiVMWVViG1q125duZs5g1ew6rVq3i7WEjOLBTugd0Zho1bMBn4ydQUlJCcXExn42bwE7Nc36qLSMF2RZDR3BAx/y8sxs3bMBn45JtMZ4dK+mqWghtUQgyFIochSBDhViPrqobm3xnu28HfkF00TKzzyR12VBCOY5T5ZwP9Jd0GcEt9A9xkNgd2E3S6THeGYTF1bcDY+Jaw2lkHyw3i3mnJq7+Fv+eCtwn6SqgBmGN02fx74PRba87MJhgjXgolaGZTU5THspgZi8rbNryisKGHgsJa69eM7OFkh6M57MpZ0fNfDGzCbEOr8c6riIMar/KkqxMHS3zOsckIwjtPIGgSGdbv5mJycC5kh6OedxnZssl/YHgQlid0A73m9kKhQ8QD5a0lKAUJJXcQQQX1fLcVFtHebNxBHCHpNSnFC4zs9lxgvK+6LpYTPgEwwqFTVt2I/S5VQQr8d2J/C4EHlbYkOktwrrbUsK9OCdD+b8D+km6hLA7Zx/gREkXm1nfHLKXwcxGKWw+MIbwCaux5N5c7h3WuHvfCHRW2AiolGAtT7fkNiG0RzY5Vih8gqZ/tKqvAs4ox1U3yXXAk5LGEyaQvo75VaRff0jYsTi18/EYYPuEtb28Z703of99T3Ab3jmHrEm2Ze1+th9hTXFlXH2BsBaq7/1T6XtdW4qKxOA3ZzPt66X88dQWTJqymBEjF/DSG7O4+uI2PNWvI4uWrKL3LcHhYtrXS3l7+Dweu7cDJSVG3/unUlqao8AMVKtWjQv+9Ecu7/1PSktLOarboey8Y3Mefvwpdt+1JQd16sCkKVO5+v9uZcmSH3l/1Mf0f+JpBtxzG4cc+DNGjxnH6edfggQd2rfjwI75KZ2F2hbnn30Gf732BkpKSzmq28/Zeafm9H/sKXZrFdvi86lc83+3xLb4iAGPD6T/vbfT5cCfMfqzcfzxvIuRtMm3RSHIUChyFIIMFcHyXilYeGjNezxLJOlDM+skaXRctI6kzywshHccx9moSBoOHG2Jzx9IWgTsEC0azkZC0v6ENZgHl3P9JeAEC5vA/CSQVM/MlijsVjsUOMvMKqrcZ8v/PODr1OYHDkh6GbjLzF5JhN1BWBuZ1Trb+Zh3K+Wqvb55uk+6Z/HG5zeXbuDv1+XJwH/l5366IelxSX6b7jg/LYb/75B1NgPOmfhx3u+cxm32KyizY74Wx28Utoy36E50IWGW23Ecpyq4hOC2uDAR1gcYLulay/AtR2f9I+kKggXv1PLiWOID9D8hHpC0B8EN+pH1qTTCavdsB1D4VMkwwtrU4WmXx+VSGh3HcTY2hbjpTb7kqzieTdh4ohlh/cHrBBcVx3GcjY6ZfZgh7HrC9/CcjUTcxOWmqpaj0DCz31a1DD8V4s617cq59uDGlcZxHCc3hbjpTb7kpTia2XyyzCg7juM4juM4juM42bEC3PQmX7IqjpLuIss27WZ2wXqXyHEcx3Ecx3EcZzPE2HQVx1y20o8IHwauTdjCfEo82gE1N6hkjuM4juM4juM4mxGb8nccs1oczewRAEnnAJ1TW1pLup8133VzHMdxHMdxHMdxcrApWxzz3RxnW2ArILU3cT3WfBTYcRzHcRzHcRzHycFPYVfVm4DRkt4BBHQhfKjXcRzHcRzHcRzHyYNCdEHNl3x3Ve0v6RWgUwz6q5nN3nBiOY7jOI7jOI7jbF5s9q6qkgR0A3Yxs+sl7Sipo5mN3LDiOY7jOI7jbP785tLvq1qEgqHHJd/ljrSBue37v1a1CABctO3NVS2Cs57ZlD/Hka+t9F7gAOCUeL4YuGeDSOQ4juM4juM4jrMZYqa8j0Ij3zWOncysvaTRAGb2vST/HIfjOI7jOI7jOE6eWN52u8IjX8VxlaRqgAFIagiUbjCpHMdxHMdxHMdxNjNKN2HFMV/J7wSeBxpJ+icwHPi/DSaV4ziO4ziO4zjOZoahvI9CI99dVR+X9DFwGOFzHMeb2cQNKpnjOI7jOI7jOM5mRCEqhPmS766qPwPGm9k98XwrSZ3M7MMNKp3jOI7jOI7jOM5mQiFuepMv+bqq3gcsSZwviWGO4ziO4ziO4zhOHmz2rqqAzMxSJ2ZWKinftI7jOI7jOI7jOD95fgqb43wp6QJJNeJxIfDlhhTMcRzHcRzHcRxnc2J9fsdR0pGSJkuaKumKDNe7SPpEUrGk7mnXSiR9Go9B+cier9XwbMLOqlcRPsnxFnBWnmkdx9mEkHQBcA7wiZmdWtXylIek44HPzWxCIux24DkzG5oIuxo4FfibmT0vqRfQwsx6J+J8Ckwys5M3ivDrgKT3zOzASqQbAvQys+lZ4gwABpjZkBi/npntH6/tD/Qxs67x9+/M7IIsebUAXjKzvTJc6wW8bmYzK1qPyiCpK6HuvbLEaUGoe9d43hG4BWgGLAZmAVeY2dgNK21uJLUDmprZyxmu9QL2N7PzEmFDgEvN7KONJF8Lyrn3eabvSpD36CxxegPTzWyApEOBe4FXzeyiRJyGwKNmdmRl5EjRqf22XHjmrhQViZfemMVjz35T5nqN6uKqi1uze8stWbR4FdfcMoHZc1cA0LN7c44+vAmlpcbtD0xl5OjvN1kZCkWOQpABYKtOP2PHCy9CRUXMe2kQsx97tMz1hsf9mkYnnAilpZQsW8b0W25k+fTpbLV/R3Y458+oenWsuJhv7rmLxZ98XCkZCqUtCkGOQpAhX0rXkwtq/FTiPcDhwAxglKRByXER8DXQC7g0QxbLzKxdRcrMy+JoZnPN7GQza2Rmjc3st2Y2tyIFOY6zyfBn4PB0pbEA3dOPB/ZInUiqD/wsqTRG/kIYSD+fKRNJbYBqwMGS6m4YUdedVPtXRmlcBxpJOio90Mw+yqY05kEvoOk6pM+byvRbSY2Bp4G/m1krM2sP3Ai03JDlVoB2wC83YP4VoqrfDWb2DrA38AdJNRLh84BZkg6qbN5FRXDx2a24tPdYep47im5dGtGi+RZl4hx9RBMWLynm5D+NZOCLMzin1y4AtGi+Bd26NOK0c0dxSe+xXHJOK4oq4aFWCDIUihyFIENKkJ0uvpQpl17EuJ6nUL/bEdRu0aJMlAVvvMb43/dk/B9+x+zHH2PH8y8EoPiHhUy5/FLG/74n0264nl2uvrayIhREWxSCHIUgQ0VYj2scOwJTzexLM1sJPAUcV6Yss+lmNgYoXR+y59U0knaT9JakcfF8b0lXrQ8BHMcpHCTdD+wCvCLpIkm9JT0qaQTwqKQWkt6WNCa+E3aM6T5NHMskHSKprqSHJY2UNFrScTFuL0nPSXpV0hRJt8TwapIGSBonaayki2J4yxj3Y0nDJLWWdCBwLHBrLLMlcCLwaoZq1TSz5OZeyyi72dcpwKPA6yReuJI6SHpP0mexDltGGftEGcdIOj/G3U/Su1HG1yQ1ieEXSJoQ4z4Vww5JtNXomK8k3Zqoe48Yt2us8yBgQgxbkpDxMkmjYv7XxbC6kgZHucel8gK+A0pydIEfgJWJ81uBK9MjRbleir8bSnpD0nhJD0n6SlKDGLWapAfjtdcl1VFwldkfeDy2wcGSnot5HRf7T01JtSV9GcPX6gMx/BhJH8Z2fFNB4SO938Y6/ZCj7iWxjQDOAx4xs/dSF81suJm9UJFy4/kjUeavJJ0g6ZZ4j19VVHKy9J8hkm6O/e/z2FY1geuBHrH9elABJC2RdFu8J28pWOVSZd0R8xynYHFN9afynuNBkt4meCGlU13S45ImSnpW0hYx3WExn7Ex31ox/EhJkyR9ApwQw4oU3hENE+dT4/kSwrOcuj+rgIXAVmlyvEDwOKgUbVptxYxZy5g5ZznFxcabQ+fSuVP9MnE6d6rPK2/NAWDIiHnst8+2q8PfHDqXVcXGrDnLmTFrGW1apYu3achQKHIUggwAddvswYoZM1gxcyZWXMx3b77Btp27lIlTunTp6t9FdWqT2ilk6ZTPWbVgPgDLpn1JUa1aqEYNKkqhtEUhyFEIMlSEiriqSjpL0keJI+nx2QxImlZnxLB8qR3z/EDBiysn+erUDwJ/A1YBRM214F26HMepGGZ2NjATONTMbovBewDdzOwU4C7CgHpv4HGCCztm1i66O1wNfAS8R1A43jazjsChBCUvZdFrB/QA2hIGwM1jWDMz28vM2gL9Y9wHgPPNbD+Cq8W9cUA/CLgslv0FcBBQxt9HUhHBvT5Zx4Fm1icR1IMwS/ckQYkkDs4HAhea2T5AN8Ig9SygBdAu1QZx8H8X0D3K+DDwz5j3FcC+Me7ZMexS4NzYXgfHfE+I9U+VdWtKeQDaRzl2S6vbEUArwoxjO2A/SV2AI4GZZrZPdBV8Ndb7BDMr67uThpldmFSWgPeBlQqugOVxLeE+7wk8C+yYuNYKuCdeWwicaGbPEvrIqbEN3o/yE9tjHNAB6ASkPvm0Vh+I4cMJVuZ9Cffw8kTZq/utmb1nZhfmqPs3ZnZCPN0T+CRL9LzKjectgZ8TJjoeA96J/XsZ8Ksc/QegenyG/gJcG2eVrwEGxr4/MFu9MlAX+Cjek3cJ9y/FFvGe/DnKAdmf4/ZR7kMylLM74VltAywC/iypNjAA6BHboDpwTgx/EDgG2A/YHsJGfLHNUopfN+AzM5tnZn0y1L2U4D2Q5CNCv6oUDevXZO78FavP5y1YQcP6tdLi1GLu/OUAlJTCjz8Ws/VW1WN4Iu38FTSsX3OTlKFQ5CgEGQBqNmzIyrlrHO9WzptLjYYN14rX6IQTaTvwWZqfcx5f3953revbdj2UHz//HFu1qsIyFEpbFIIchSBDRaiIxdHMHjCz/RPHA+tRlJ3icpTfArcrTMJnJV/FcQszG5kWVlxR6RzH2SQZZGapmf0DgCfi70eBzqlIkloRLFS/ibP/RwBXKKwfHALUZo1S8ZaZ/WBmywmWtJ0IG27tIukuSUcCiyTVAw4Enon59ANSClU6TYB5aWHtCDNwGVFYqzffzL4mWE32lbQdYdA7y8xGAZjZIjMrJgxc+8XfmNl3Me5ewBtRxquAHWIRYwjKZU/WvDNHAH0V1pJuE/PqDDxpZiVmNocwoO8Q4480s2kZxD8iHqMJSk5rgqI2Fjg8WqoONrNclrZc3BDrVB6dCcoTZvYqkFwcMs3MPo2/PyYo3WWI9f9CwWW4I9AX6EIY7A/L0Qd2AF6TNBa4jKDwpUj223UiWhcnSrqjEuW+Ep+HsQSlJmUVH0toj2z9B+C5+Ddj+2XAcoSXEiZFIChlnRNxngSI7t5bSdqG7M/xG/EZyMQ3ZjYirZzdCX3i8xj+COFet47hU8zMYvwUDwO/i79PZ82EUia+JbisJplLBrfo5Cz+7K/+lyVLx6k8c5/7L2N7dOeb+++h6e97lblWe+ed2eGcc/nqlpuqRjinyii1oryPHHwLNE+c7xDD8sLMvo1/vyS83/fNlSZfxXF+1EINQMHVaFa+gjmOs0nzY64IcXD/NHCmmaXeDSJYmNrFY0czmxivrUgkLyFYVb4nWNyGEKxzDxHeUQsTebSLFoxMLCMMalMynUdQ0u4oJz4EC2NrSdOBLwhubifmqm8aAsYn5GtrZkfEa78iLFxvT1i0Xt3MbgLOAOoAIxTdLrNQXvsLuDFR7q5m9u84KG9PUExukHRNBetTBjN7O8r6s0okX+s+lxNvKHAUwavlTYKS0RkYRvY+cBdwd7Re/YnE/SePfpuF8YQ2BMDMOhGs6VtXotwVMY9SYFVUjCAocNXJ3n9Wpyd7+yVZAGybFrYdML+c+FbO79R5tuc4WxtnyqvCRCv5HEk/J0wsvJIl+p3A/9L6fG0SLq2JfFfP4m+/0zHlZjhvwUoaNVhjuWhYvxbzFqxIi7OCRg1CF6hWBHXrVueHRcUxPJG2QS3mLVhJRSkEGQpFjkKQAWDlvHnUbNRo9XnNho1YNS993nIN3735BtscvMYwX6NhQ1r9381Mu+F6VszMe5xfhkJpi0KQoxBkqAjrcVfVUUArSTtHT6mTCd5YOZG0bWKpQAOC19aE7KnyVxzPJczytpb0LcFl5uysKRzH2Rx5jzVu6qcSBvYQrAL9zWxYIu5rwPmSBCAp60xWfHEVmdl/CVaX9ma2CJgm6aQYR5L2iUkWA1smspgI7Jo6MbO7CRbHtdboxbyKgN8Abc2shZm1IKxxPAWYDDSR1CHG3VJhA5A3gD/F30Tr5GSgoaQDYlgNSXvG/Jtb2LjjrwSlo56klmY21sxuJrz0W8d27KGwhrIhwQqT7uWRzmvA6VFpR1IzSY0kNQWWmtljBAtw+/SEkv6TWsOWJzdQ1h0zyQhCO6bcZ9OVlkyk37thhP8r71vY0KQ+wTo1Lkcf2Jo1s6u/z6cikjpK+k+OaPcAvRTW0qZI7rRQ4XKzkLH/5EiT3n5JRgEHSdo+5rc/UIs162CKgNSW7L8luN2mSK2t7Qz8EK3VFXqOE+yYqlOinMlAC0mp5/Q0gnV9UgxPuUmdQlkeIlghnzGzbOt0/w783MyuT4TtRnB/rhSTpiyiedM6NGlcm+rVRbcujRgxckGZOCM+XMBRhzUGoOtBDflkTDC6jxi5gG5dGlGjumjSuDbNm9Zh4pRFm6QMhSJHIcgA8OOkidRq3pyaTZqg6tXZrtvhfD9iWJk4tXZYYwja+sCDWDEjPILV6tVjt1v7MuO+e1kydkylyofCaYtCkKMQZKgIpRU4shE9ds4jvKcnAk+b2XhJ10s6Flbv1zADOAnoJ2l8TN4G+EjSZ8A7wE1WdjfWjOS7E5qZWbe4rqHIzBZL2jnPtI7jbD6cD/SXdBnBLfQPknYiDER3k3R6jHcG8A/gdmBMVKKmAeVur09Y0N0/xoWwrhqCgnqfwoZcNQhukZ/Fvw9Gl8/uwGCC9eehVIZmNjkqd5k4GPjWyn4SYihhjVp9wiD6Lkl1CBaLbjHv3WKdVgEPmtnd0QvjTklbE96rtwOfA4/FMAF3mtlCSf+IawZLCZatVwibtxwQ62XA5WY2O5s10sxej+6d78cx/RKgJ0F5vlVSKcGCd06G5HsT1rLmhZm9LKm86fTrgCclnUZYrziboNjUy5LlAOB+ScsI9f4QaExofwguvtsnrHPl9YHeBBfW74G3gXz+L+1IBgtUktj2PYCbJTUjuDvOJ2xKQyXLLa+sleX0n/FZkr3DGvfRG5Nr/cxsjsK3ll+Oz9IS4JRo8YRgJewY23IuUVmMLJc0mtDGqWe5os9xisnAuZIeJsxi32dmyyX9gdB21QlK7v1mtkJhw4fBkpYSJhKSivEggotqNjdVCJMWU9LCDiW8GypFSSn0vX8qfa9rS1GRGPzmbKZ9vZQ/ntqCSVMWM2LkAl56YxZXX9yGp/p1ZNGSVfS+JRhkp329lLeHz+OxeztQUmL0vX8qpZXY17AQZCgUOQpBhiBICV/37cPufe+AoiLmD36J5dOm0fSPZ7J00iQWjhhG4xO7s9X+HbDiYooXL+bLf4bXR6MTT6JWsx1o+ofTafqH8JhNvuhCihdW7BMQhdIWhSBHIchQEfL5PmP+ednLwMtpYdckfo+i7PKHVPh7hH0mKoTW/F/OEkn6xMJ25Mmwjy0s5HccxykIJA0HjjazhYmwRcAO0XL1k0fSVsC/zeyk9ZRfLaDEzIqjhek+q+B3oTYmkm4lfNuv8lP9mzCSlpjZWkq9NvK3HitCtJreZmblbnIT3bRmE571pYnwocBx0RU+I52PebdSbrTO5s1t3/+1qkUA4KJtb65qEZwEw/93yDprfe9NXJz3O+fANluuPy1zPZDV4hhnu/cEtpZ0QuLSVpRd0+E4jlMIXEKwKC1MhPUBhku61sr5luNPiahArxelMbIj8HS0Rq0EzlyPea93zOyyqpbByR9JVxCs5uV+UiNa8O8ABqQpjQ2BvtmURsdxnI1NHpveFCy5XFV3J7ikbEPYJjvFYgp8cOA4zk8PM/swQ9j1rHExdNYzZjaFPHZicwqDTNbGGN51I4uSF3EzqazbTsZ1xOm7qRLXy76wYSRzHMepHKWbsI9DVsXRzF4EXpR0gJm9v5FkchzHcRzHcRzH2ewwCsr7tELkuznOVEl/J3xDanUaMzu93BSO4ziO4ziO4zjOatbn5jgbm3wVxxcJu5y9SfiWlOM4juM4juM4jlMB8tiXtGDJV3HcwswKY3spx3Ecx3Ecx3GcTZDSTdhVNd9tfV6S9MsNKonjOI7jOI7jOM5mTGmp8j4KjXwtjhcCf5e0gvBBaQFmZlttMMkcx3Ecx3Ecx3E2Izb7zXHMbEtJ2wGt8O83Oo7jOI7jOJsxF217c1WLAMDzN1X9sPvXVyyvahE2Kzbbz3GkkHQGweq4A/Ap8DPgPeCwDSaZ4ziO4ziO4zjOZsSmvKtqvmscLwQ6AF+Z2aGEjz3/sMGkchzHcRzHcRzH2cwwy/8oNPJd47jczJZLQlItM5skafcNKpnjOI7jOI7jOM5mxKa8q2q+iuMMSdsALwBvSPoe+GpDCeU4juM4juM4jrO5UYi7peZLvpvj/Dr+7C3pHWBr4NUNJpXjOI7jOI7jOM5mxma/OU4SM3t3QwjiOI7jOI7jOI6zOVOIaxfzpcKKo+M4juM4juM4jlNxNvvvODqO4ziO4ziO4zjrxk/KVdVxHMdxHMdxHMepOKWlVS1B5cn3O46Og6QLJE2U9HhVy5INScdL2iMt7HZJXdLCrpY0SdKv43kvSb0T13tKGiNpvKTPJD0UdxeucjLVMXGtt6RvJX0aj5ty5DVdUoP4e0mG6y0kjVsHWbtKeilHnN6SeuWIs/r+SNpd0pBYv4mSHqikbKvrXom0vWP/GZfqQxni3BNlnCBpWeKedJf0cq7+FOu4f4bwdpJ+mSNtC0lD8qjH9Ph3rfskaYCk7rnySM+vsm26oYh1G5AjTpn2ktQxtv8USZ9IGiyp7YaWNR+y3f98nrcNTXw2Ll2H9Dn7Xarfxt9943vg0LQ450k6vbJypOjUflueuK8DT/XrSM/uzde6XqO6uO7yNjzVryMP9NmX7RvVWn2tZ/fmPNWvI0/c14GO+267SctQKHIUggyFIscHn4zhlPMup8efL+XR5/631vVPx0/i9Euu5pDuvXjnvZFlrt37n4GcduHfOO3Cv/HW8A8qLQMURlsUggz5UmrK+yg0XHF0KsKfgcPN7NRkoKRCs1wfD6xWqiTVB35mZkPT4v0F2N/Mnk/PQNKRwEXAUWa2J9AeeA9onK8QG7hdjidRxwzcZmbt4nHFBpSjqriTNXVsA9y1MQuX1Bw4FWgLtANGZYpnZueaWTvgl8AXiXvyrJn90swWVlKEVJ6bPJKqbeD8K/wcSmoMPA383cxamVl74Eag5YYstwK0o4Duf1X/DzCzi4HrgHQl8WHg/HXJu6gILj67FZf2HkvPc0fRrUsjWjTfokyco49owuIlxZz8p5EMfHEG5/TaBYAWzbegW5dGnHbuKC7pPZZLzmlFUSVGXYUgQ6HIUQgyFIocJSWl9H3wP/S56lIeu+Mm3hz2AdO++bZMnMYN6/P388+k28EHlAl/76NP+fzL6fTvewMP3NybJ198hR+XLqu4EBRGWxSCDBXBLP+j0HDF0ckLSfcDuwCvSLoozig/KmkE8GicrX87WujekrRjTPdp4lgm6RBJdSU9LGmkpNGSjotxe0l6TtKrcZb/lhheLc5Aj5M0VtJFMbxljPuxpGGSWks6EDgWuDWW2RI4kcyfj6lpZkkL2zIgdX4lcKmZfQtgZiVm9rCZTY5lXyNpVJTpAUmK4UMUrJsfARfG89skfRRnxDvEOk6RdEOifXvG9vhUUr/UYFrSEkn/VLB4fiCpcTl1zHX/ekm6O3H+kqSuudIlqC7p8ViHZyVtEfM5LN7DsfGe1orhRypY4z4BTohhRbHeDRPnU+P5ktj+2UjenybAjNQFMxsb86wtqX+UZ3TKAhH7UJ94v8ZIKjOYlFRH0iuSzoz9c3Bs83GSemSQpRjYCqhnZsVmNiNDnKyorKX3akmTJQ2X9KTKWmtOin3jc0kHS6oJXA/0iPe/R3yuUs/ZaElbAiXAd3mIMq8C8l6nYH0bK6l1DK8v6XUFy/xDsGbVf45+/S9JnwEHSnouhh+n8J6oGe/llzF8rWc9hh8j6cNY5zcVFL6UxWv1+wlYCfyQo4rJ9joPeMTM3ktdNLPhZvZCRcqN549Emb+SdIKkW2L7vSqpRky3n6R3Y/1ek9Qkhg+RdHOu+5/n/TslljtO0s0x7CRJfePvCxPtvUusQy7ZVr/rMhS5j6T3FZ75M2MaSbpVa97lPRLhd8dn4E2gUQz/uaQXEnU4XFJqoi+9384GtkkGmNlSYLqkjvm0USbatNqKGbOWMXPOcoqLjTeHzqVzp/pl4nTuVJ9X3poDwJAR89hvn21Xh785dC6rio1Zc5YzY9Yy2rTaapOUoVDkKAQZCkWOiVO/YIcmjWi2fSNq1KhOt84/Y/jIT8rEadKoIbu22JGiorKWq+kzvqXdHrtTvVo16tSuRcsWzflg9JgKywCF0RaFIENFcMXR2ewxs7OBmcChZnZbDN4D6GZmpxAsPo+Y2d7A4wSLECkLC3A18BHBancl8LaZdQQOJShAdWOe7YAeBEtODwXLTjugmZntZWZtgf4x7gPA+Wa2H3ApcG8c6A0CLotlfwEcBHycrI+kIqDMI2lmA82sTzzdEyj7Bi7L3WbWwcz2AuoARyeu1TSz/c3sX/F8pZntD9wPvAicC+wF9IqD7jaxzgfFtiohWLMA6gIfmNk+wFDgzHLqmM5FCUXiF1nqkS+7E9q3DbAI+LOk2sAAoEe8L9WBc2L4g8AxwH7A9gBmVgo8lqhbN+AzM5tnZn3MbGA2AdLuz23A2wrK3kVa4/J5bohqbYFTgEeiPGcBLYB2iT6aoh7wP+BJM3sQOBKYaWb7xPubadJhBWGg+pyislxZJHUgTG7sAxwFpLumVo/Pyl+Aa81sJXANMDDe/4GE/p+ybh4MLDOzb8zshFzlm1mHCog7P1rf7otlAlwLDI+W+eeB1KRRrn79YezX7xOecaLs44AOQCfgwxi+1rMew4cTvAn2BZ4CLk/Iuvr9ZGbvmVkm5SbZDsn2yvX851VuPG8J/Jww2fMY8E7sn8uAX0Xl8S6ge6zfw8A/E/nlc/+zIqkpcHOUox3QQdLxwDBCmxP/LpDULP4emods6e+6JHvH8g4ArokynBDL34fw/N8aFdFfE94xewC/Aw6MebwDtFacbAL+EGXI1G9LgUzW648SdawwDevXZO78FavP5y1YQcP6tdLi1GLu/OUAlJTCjz8Ws/VW1WN4Iu38FTSsX3OTlKFQ5CgEGQpFjnkLvqdR/TXKUcP62zHvu+/zSrtrix35cPRYlq9YwcJFi/lk3ETmzs9nnnFtCqEtCkGGilBq+R+FhiuOzrowyMxSVqIDgCfi70eBzqlIkloBtwK/MbNVwBHAFZI+BYYAtYmDTeAtM/vBzJYDE4CdgC+BXSTdpeBCukhSPcLg4pmYTz+CFSoTTVh7drodCYtVNiS1jQrYF4nZ/UOjxWEsYXC0ZyJJ+kBuUPw7FhhvZrPMbEWsV3PgMIKCNSrW5TCCdReCpSS1XuljgvKTD0lX1dfyTJONb8xsRPz9GOH+7g5MM7PPY/gjQBegdQyfYmYW46d4mDAwhOBW1p9KYGb9gTbAM0BX4IOowHVOlWdmk4CvgN0Ig9R+ZlYcryX/Q74I9Dez/8TzscDh0dJzsJllslT9m+AC9zbwhIL19DJJ51WiOgcBL5rZcjNbTFBikzwX/2a7/yOAvpIuALZJ1bOClPcvKhmeSZYurGnzwUBq5JKtX5cA/41pioEvoqLZEegb8zwYGJbjWd8BeC0+h5dR9jlMvp/WifisT5R0RyXKfSW+98YSFJvURMRYQhvuTphIeiPW76qYf4p87n8uOgBD4iRNMWHipIuZzQbqKViomxPe4avbPg/ZsimtL5rZMjObT1AAOxKezyejB8cc4N0oW5dE+EzCc0V8fzwK9IyTQwcAr5RT3rfAbnGiKMlcoGl6ZElnKXiCfDT7q7XXhjnO5kzHdm352X77cPbf/kHvvvey1267Uq2o8NbTba6YKe8jFwoeXpMVPLjWWpokqYuCp1Cx0taOS/p99AqZIun3+cjuiqOzLvyYK0Ic9D1NsJTNSgUDJyYUmx3NbGK8tiKRvIQw2/49YYZ6CHA28BCh7y5M5JFa65aJZQTlNCXTeYSB9h3lxAcYT1jXiJmNjRaTV4A6cWByL2EWvi3BupYcrKS3S6pOpWn1KyVY6USw1qbqsbuZ9Y5xVsXB0+r2yCJzNoop+7ynD65yka5UVGoezMy+AeZI+jlhIFneIDCfvGZacB8+jlC/vSqZ1QjgSCm4G0dFuD1hYH+DpGsypOkGjDCzfxAs8fcR1py9WEkZspHqM+XefzO7CTiDYP0eoejKWUEWAOm7AmwHzK+ILAmy9evlZlaSiDuUYG1dBbxJUDA6E5SXbM/6XQTrf1vgT2R/DivC6ucfwMw6Ebwmtq5EuStiHqWUfZ6Tz//4RN3amtkR6elZt+c/G+8RLHmTWWOBPIDwXOSSLVsbr5d3BmFyqSfBg+CZ8iZFLHheTAC+VtlNjGqTwQ3ezB6I1tL9t9/pmHILn7dgJY0arLFcNKxfi3kLVqTFWUGjBqELVCuCunWr88Oi4hieSNugFvMWrMxV34KUoVDkKAQZCkWOhvW3Ze6CBYnyvqPhdvlv7PL77scyoO8N3N77rxhG86blzb1npxDaohBkqAglpfkf2VBY/nEP4f/nHsApWnvjxK+BXqwx7qTSbkfwGOpEGI9dKylnB3LF0VlfvAecHH+fShiAQLAw9TezYYm4rwHnpwbqkvbNlrHCOrAiM/svYca7vZktAqZJOinGkaR9YpLFwJaJLCYCu6ZOzOxugsXxyizF3gj0kZScXa8T/6YGifOjYlyhXScz8BbQXVJqXc92knbKkSa9jrmYDrSLlrHmhJdERdhRUmp1/W8JrnqTgRaSUm17GsGCMCmGp9ZenkJZHiJYqJ5JUx6A1TshZrXcxRm21Pqw7YH6BIvDMKI7pKTdCJbsycAbwJ8UN/GIL8wU1xCsZPfEa02BpWb2GMFS3p61GUMYzEJwUzwMWBEV44oyAjhGYU1fPcq6PZdHmfsvqWWc4LiZsFFPGcVRUjNJb+XIcwrQNFr+iH1wH+DTHOmGEvoEko5ijfJZkX49jOCK+b6ZzSPcz92BcTme9a0J9x0gr9lShd1S/5Mj2j0EV/IDE2HJnRYqXG4WJgMNU8+XpBqS9syRpqLP/0jgEEkN4kDjFMKzCqHtLyXcx9GE5QMroqW9MrKlOC726foEr4BRsaweCmuOGxIsjSNj2anwJlEGIEwQESZnriKLh0LsE7sQljWMTVzajeD+XCkmTVlE86Z1aNK4NtWri25dGjFi5IIycUZ8uICjDgv7pnU9qCGfjAlG9xEjF9CtSyNqVBdNGtemedM6TJyyaJOUoVDkKAQZCkWO1rvuwjez5jBzzjxWrSrmzeEfcFCHrMOp1ZSUlPLD4sUATJ3+NV9M/4YO7So391oIbVEIMlSE9bjGsSMw1cy+jMsYngKOK1uWTTezMYTJyiS/AN4ws++igeYNwlKdrBTabpjOpsv5QH9JlxHcQv8QB4ndCe5Dqd3uzgD+AdwOjFFYaziN7IPlZjHv1ETH3+LfU4H7JF0F1CA8MJ/Fvw9Gt73uwGCCVeChVIZmNjlNeSiDmb0cBzavxIHWQsLg4zUzWyjpwXg+m3J21MwXM5sQ6/B6rOMqwlq9r7IkK1NHy7zOMckIQjtPICjS2dZvZWIycK6kh2Me95nZckl/ILgQVie0w/1mtkLSWcBgSUsJg8XkIHcQYQBY3iCwdZQ3G0cAd0haHs8vM7PZku4l9ImxBCtkryjPQ4QB5BhJqwhW4rsT+V0IPKywIdNbhLVXpYR7cU6G8n8H9JN0CbAc6AOcKOliM+ubQ/YymNkoSYMIyugcgqUz10Yu77DG3ftGoLPCRkClBGtZuiW3CaE9ssmxQlJPwrNWm1D3M8px1U1yHfCkpPGECaSvY34V6dcfEnYsTu18PAbYPmGdK+9Z703of98T3Bt3ziErhMmErC6ssS/1AG5WWPM3l2B5vT5GqUy55ZW1MroP3Slpa8L/5dsJ97E8ytx/W3ud42GSkq74JwFXxHQCBptZyjo+jOCmOtTMSiR9Q5j8qaxsKcbE8hoA/zCzmQob2xxAuHcGXB7b+nmCy/8EQv95Py2vx4GGCc+UTGwLTI9uwUkOItyvSlFSCn3vn0rf69pSVCQGvzmbaV8v5Y+ntmDSlMWMGLmAl96YxdUXh23+Fy1ZRe9bgpjTvl7K28Pn8di9HSgpMfreP7VS328rBBkKRY5CkKFQ5KherRoXn/E7Lr7+FkpLjV8d1oVddtyBh578L61b7kznju2ZOOVL/n7zHSz+8UdGjBrNvwc+z2N33EhxSTHnXhmWK29Rpw7X/OVsqler3AbXhdAWhSBDRajIpjdxPHVWIugBM0t9gqwZkJywnkGwIOZDprTNcspjhbhlj+OsZyQNB462xOcPJC0CdogWDWcjofBdwtvMLOOGFQrfoDshzp79JJBUz8yWKOxWOxQ4y8wqqtxny/884GszG5Qz8maOpFuBR+MMrLMJoLAj9Ggz+3eWOL8hLIHokQjbF7jYzE7Lln/nY971gZBTsDx/U0VXlqx/fn3F8tyRfiIM/98h67wY9KG38nfdP+Mwyi0vTuwdaWZnxPPTgE5mtpbXlsK3jF8ys2fj+aVAbTO7IZ5fTdhYr0962iRucXR+KlxCsDQsTIT1AYZLutYyfMvRWf8oLNw+hzW7a66FmeXjqrm58YDCuoTahHWB601phNXu2Q5gZpdVtQxO/kj6mLCW8pIscVIbKv0t7VIDwtpUx3GcgmE92uy+JXiMpNiBNcso8knbNS3tkFyJXHF0fhKY2YcZwq5njeuZsxGIm7jcVNVyFBpm9tuqlsFxChELnwHJFeficsLfWP8SOY7jrBvr0RV2FNBK0s4ERfBk4p4DefAa8H9asyHOEaw9+bYWvjmO4ziO4ziO4zjORqC0NP8jG3GX6fMISuBE4GkzGy/peknHQvhWdFzzfhJhb4bxMe13hD1HRsXjeiv7qbKMuMXRcRzHcRzHcRxnI1C6HldVm9nLwMtpYdckfo+i7Pd3k/EeJnz9IG9ccXQcx3Ecx3Ecx9kIVGxj0nXei2e94oqj4ziO4ziO4zjORmBT/qCFK46O4ziO4ziO4zgbgQ39ncgNiSuOjvP/7N13mGRFwf3x79kl54yIZAkiOaOAopizory+YM6iggFzAOU1oaigIiACgmL2J4rknMOSliiSlCBJwpI3nN8ft5rtHWZnZ5adundnz+d5+tm+t3u6Tvet7u3qqlsVEREREVHB1DQcIyIiIiJiTnrT5x9vOwI/eviLbUcAYI/Fvtl2hDkiQ1UjIiIiIiJiSB7RtKqZHCciIiIiImKeMyeX46gtDceIiIiIiIgKMlQ1IiIiIiIihjRtLu5yTMMxIiIiIiKigizHEREREREREUOaNhePVU3DMSIiIiIiogKnxzEiIiIiIiKG4vQ4RkRERERExFByjmNERHSSpE8AHwEutb1r23lmRtIbgX/YvqZv3w+BP9k+q2/fV4BdgS/Y/rOkdwOr29677z6XA9fZ/p8q4Z8BSefZfsFs/N0ZwLtt3zLEfY4AjrB9Rrn/Yra3KLdtAXzP9ovL9Xfa/sQQj7U68DfbGwxy27uBk2zfMdLnMTskvZjmub9b0uLAOcD9wCttP953v1OAt9q+/5mUt/VmS7PHB57LuHHibyffydF/+PcMt88/n/jyp9Zj3bUW56FJk/nqd6/hP3c/AcBuO6/Ca1+2EtOmmR8e8k8uumz2onQhQ1dydCFDV3J0IQPAEltuzSof2xPGj+Pe4/7KXcccPcPty73ujazwxjfjadOY9tij3Pr97/L4rbew+OZbsvIHP8y4+eZn2pTJ3P6znzDpsktnK0NXXovhmJt7HMe1HSAiIkbVR4GXDWw0SuraD4dvBNbvbUhaFtimv9FY7AlsYfvPgz2IpOcB44HtJS06OlGfud7rPzuNxmdgBUmvGrjT9iVDNRqH4d3As5/B3w/bwHpre5LtjYHHgRcOuPtRNPV/to0bB5/68Np8Zu+J7Lb7xey0wwqsvsoiM9zntS9fiUkPT+F/PnQRv/3LbXzk3WsCsPoqi7DTDivwjt0v5tN7T+TTH1mbcbPxrasLGbqSowsZupKjCxl6QVbd49Pc8PlPc827d2WZl+7EQqutPsNd/nvqSVzzvndy7QfezX9+82ue89GPAzDlwQe48Yuf45r3vZNbvrUvq3/hq7MboRuvxTBNnephX7omDceIiDFK0s+ANYHjJX1S0t6SjpJ0LnCUpNUlnSbpSkmnSlq1/N3lfZfHJL1I0qKSfiHpIkmXSXpDue+7Jf1J0gmSbpD03bJ/vKQjJF0laaKkT5b9a5X7TpB0tqT1JL0AeD2wXylzLeAtwAmDPK0FbD/ct/0Y0L/9dpoGw0nAG/peiy0lnSfpivIcFi8Zv1cyXinp4+W+m0s6s2Q8UdJKZf8nJF1T7vubsu9Ffa/VZeVxJWm/vue+S7nvi8tzPha4pux7uC/jXpIuLo+/T9m3qKTjSu6reo8F/BeYOosq8CDwZN/2fsCXBt6p5Ppbub68pJMlXS3p55JulbRcuet4SYeW206StLCknYEtgF+V12B7SX8qj/WGUn8WkLSQpJvK/qfVgbL/dZIuLK/jKZJWLPtnqLflOT044Gn8B1hqwL5jaerDbHve2ktw252PccddjzNlijnlrLvZbutlZ7jPdlsvy/Gn3gXAGefew+YbL/3U/lPOupvJU8yddz3ObXc+xvPWXmKuzNCVHF3I0JUcXcgAsOh6z+PxO27jyTvvwFOmcP9pp7LUC7ef4T7THn30qevjFloISo/bY/+8gcn33QvA47fczLgFF0Tzzz/iDF15LYbLHv6la7r2i3NERMwhtj8s6ZXAjrbvlbQ3Ta/edrYfk/RX4EjbR0p6L3AA8Ebbm0DzRR74LHAesA9wmu33SloKuEjNUECATYBNgSeA6yUdCKwArNwb2lj+BuAQ4MO2b5C0NfBT2y8pjam/2f5Duf9XgT/0Px9J44AZ/iu1/dsBT3sX4GXAesDHgV9LWgD4LbCL7YslLUHT4PwgsDqwie0pkpaRND9wIPAG2/eUhtr/Ae8FPg+sYfuJvufzGWB32+dKWoym5+vN5TXZGFgOuFhSr+d0M2AD2zcPeG4vB9YGtgIEHCtpB2B54A7bryn3W7I87zczC7b3GLDrfOBNknYEJs3kz75Gc5y/VerO+/puWxt4u+0PSPod8BbbR0v6GPAZ25eo6RE8stx/e+AqYEua7xsXlv1PqwPAS2iGnG5j25LeT1P3Pl3+5ql6W7bPG5B7Gk1Pc//zv1/SgpKWtX3fTJ7vkJZfdgHuvveJp7bvue8J1l9niQH3WZC7721GyE6dBo88MoUll5iP5ZddkKuvf2j63977BMsvu8BcmaErObqQoSs5upABYP7llmfy3Xc/tf3kPXez6POe//S8b3wzK+78P2j++fjHp54+wGGpHV7MozdcjydPHnGGrrwWwzVtWgdbhMOUHseIiHnLsX1fvrcFfl2uHwVs17uTpLVpeqjeZnsy8HLg82rOHzwDWAhYtdz9VNsPlvPLrgFWA24C1pR0YGmAPFQaVi8Afl8e52BgpZnkXAm4Z8C+TYDbZvbE1Jyrd6/tfwGnAptKWgZYF7jT9sUAth+yPQXYCTi4XMf2f8t9NwBOLhm/DDynFHElTc/absCUsu9cYH8155IuVR5rO+AY21Nt3wWcSdN4ArhoYKOxeHm5XAZcStPwXRuYCLxM0nckbW97YE/bSO1bntPMbAf8BsD2CTTnDvbcbPvycn0CTaN7BuX536hmyPBWwP7ADjSNyLNnUQeeA5woaSKwF9D/7bO/3g7mdmCjQfbfzSDDaCV9UNIlki75z61/HeJhI2JOuOf//Ymrdnsbtx1yECu9490z3LbQ6mvwnA9+lFv336+dcJXZHvala9JwjIiYtzwyqzuUL/e/Az5g+87ebpoepk3KZVXb15bbnuj786nAfGVCko1pGpkfBn5O83/OA32PsYnt580kxmM0jdNepo/RNNJ+NET0twPrSboFuBFYgmbI60gIuLov34a2X15uew3wE5pew4slzWf728D7gYWBc3vDLocws9dfwLf6yn2u7cNs/6OUNxHYt/TEzjbbp5Ws28zGnz/tOM/kfmcBrwImA6fQNEa3A85m6DpwIPBj2xsCH6Lv+DPrensk8BFJJw7YvxBNXZqB7UNsb2F7i2et9rqZPug99z3JCsst+NT28ssuyD33PTHgPk+wwnJN1PHjYNFF5+PBh6aU/X1/u9yC3HPfk4xUFzJ0JUcXMnQlRxcyAEy+9x7mX2GFp7YXWH4FJt878De/6e4/7ZQZhrLOv9zyrPX1b3Lzt7/Bk3fcPlsZuvJaDJenDf/SNWk4RkTMu84DejOP7krzxR7gF8Dhts/uu++JwMclCUDSpkM9cDkvbpztP9L0cG1m+yHgZklvLfeRpI3Ln0wCFu97iGuB5/Y2bP+YpsfxaefolccaB7wN2ND26rZXpznH8e3A9cBKkrYs9128DKk8GfhQuU7pnbweWF7StmXf/JKeXx5/FdunA58DlgQWk7SW7Ym2vwNcTNNTeDawi5pzKJen6XG7aKjXi+b1fW9ptCNpZUkrSHo28Kjto2l6gDcb5Ln/UtJWs3j8fvvSDAMdzLk0r2Nv+OzSw3i8gcfubJpJjM63fQ+wLE1P7lWzqANL0vQcArxr2M+msTvNLLGv6O0odfVZwC0jfKynXHfDQ6zy7IVZacWFmG8+sdMOK3DuRTOOej33wvt41UtXBODFL1yeS69sOmnPveg+dtphBeafT6y04kKs8uyFufaGh55WxtyQoSs5upChKzm6kAHgkeuuY6GVn8MCz1oJzTcfS7/kpTxw3jkz3GfBlZ/z1PUlt3kBj9/eDBwZv+hiPPfb+3H7oT/jkasmzlb50J3XYrimTps27EvX5BzHiIh518eBwyXtRTMs9D2SVgN2BtYp5z1C06P2DeCHwJWlEXUz8NohHnvl8ti9Hyi/UP7dFThI0peB+WmGRV5R/j20DPncGTiOptfp570HtH19adwNZnvg9gFLQpxFc27csjTnPh4oaWGaHqidymOvU57TZOBQ2z9WM+HLAeV8wvnK8/4HcHTZJ+AA2w9I+kY5Z3AacDVwPM3kLduW52Xgs7b/M1RvpO2TyvDO80vb/GFgN5rG836SptH04H1kkD/fCBj2Uhi2/y5pZl0C+wDHSHoHzTmR/6FpGC42xEMeAfxM0mM0z/tCYEWa1x+aIb7P8vRxVzOrA3vTDGG9HzgNWGO4z4mmgXvugH2bAxf0hiLPjqnTYP+f/ZP999mQcePEcaf8h5v/9Sjv23V1rrthEudedB9/O/lOvvKp5/Gbg7fioYcns/d3m474m//1KKedcw9H/3RLpk41+//sn7O1flsXMnQlRxcydCVHFzIAMG0q/zrgB6z93f3RuPHce/zfePyWm1npPe/n0euv48HzzmH5N72FJTbfEk+ZwtRJk7jl2/sCsPyb3sKCz34OK73zPaz0zvcAcMNeezLlgQfmztdimObmcxzVxfGzERERks4BXmv7gb59DwHPKT1X87wy0c9htt86hx5vQWBqmSxoW+Cg3mRJXSbp78CBto/v2/cjmnMjTx3qb7d73Zn5IhQxhB89/MW2IwCwx2LfbDsC5/z1RXqmj7HngQ8P+zPnhx9f7BmXNydlqGpERHTVp5k+AU/P94BzJL2phTydUyb6mSONxmJVmvM3r6CZZfcDc/Cx57gy7PjysnnOgJuvmlWjMSKiNk/zsC9dk6GqERHRSbYvHGTf14GvtxBnnmD7BpqlVeYKtifRnPs62G2H1k0TETFr0+bgaM8ya/mPaJYj+nmZsK3/9gWBX9IM3b+PZlmqWyStTjOXwPXlrhfY/vCsykvDMSIiIiIiooI51ZMoaTzNTN8vo1mq6mJJx9q+pu9u7wPut/1cSf8DfIfmnH+AG0d6KkKGqkZERERERFQwdaqHfZmFrYB/2r7J9pM0E429YcB93kCzXBHAH4CX9mZHnx1pOEZERERERFQwknMcJX1Q0iV9lw/2PdTKwL/7tm8r+xjsPmWG6QdpZhoHWEPSZZLOlLQ9w5ChqhERERERERWMZEUL24cAh4xCjDuBVW3fJ2lz4P9Jev6sZixPj2NEREREREQF06Z52JdZuB1YpW/7OWXfoPeRNB+wJHCf7Sds3wdgewJwI826xkNKwzEiIiIiIqIC28O+zMLFwNqS1pC0APA/wLED7nMs8K5yfWfgNNuWtHyZXAdJawJrAzfNqsAMVY2IiIiIiEHtsdg3244AwP/71gJtR5gjpk2ZNkcex/YUSR8DTqRZjuMXtq+W9HXgEtvHAocBR0n6J/BfmsYlwA7A1yVNBqYBH7b931mVmYZjREREREREBXNyHUfbfwf+PmDfV/uuPw68dZC/+yPwx5GWl4ZjREREREREBXNqHcc2pOEYERERERFRwUhmVe2aNBwjIiIiIiIqGMZsqZ2VhmNEREREREQFGaoaERERERERQ5o2dWrbEWZbGo4REREREREVZKhqREREREREDCmT40RERERERMSQ5uZzHMeN1gNL+oSkayX9arTKmBMkvVHS+gP2/VDSDgP2fUXSdZLeVLbfLWnvcv0ISTsPuP/DI8zxYkl/m60nMYrKc3vxLO6zt6R3921/qrxWEyVdIWl/SfOPctRhKcft2TO57WnHsTZJt0ha7hn8/ZD1rtSzI2Zxn9UlndG3vZWkMyTdIOlSScdJ2nB2M85JkjaR9OqZ3PZuST8esO8MSVvUSffUa3nVM/j7WX4uDHz/zeQ+T31ele3dJF0p6eryHv25pKVmN+ecNNhnct9te0u6XdLl5fLtWTzWU++nwd4bXTw+ktYt9fTy8n/oIbOZbbY/S0rm6yRd1fs/b5D7/KRkvEbSY33HZGdJf59VfZrZe3Go93TffQZ+Rp0t6RJJzxpwv99IWnuoxxqOrTdbml8ftCW/OXgrdtt5lafdPv98Yp/PPo/fHLwVh3xvU561woJP3bbbzqvwm4O34tcHbclWmy49V2foSo4uZOhKji5k6EqOCy67kv/5+Od52+6f5ag/Pf1j+fKrr+c9n/kaO7z1vZx+/sUz3PbTo37Hbnt+id32/BKnnHvhbGcYLk/zsC9dM2oNR+CjwMts79q/U1LXejnfCDz1JUXSssA2ts8acL89gS1s/7letJmr8TpKGj8bf/Nh4OU0r+GGwJbA3cDCo1nuCLwbGLThWJsao/kefMYkrQj8Dvii7bVtbwZ8C1hrBI8xmnV1E2DIL5k1dfDz7WkkvRL4JPAq288HNgPOA1YcwWOM5vN8I32fyYP4ge1NyuXzo5ijLQcw/Tk+DziwZuGSVgF2BTakeX9dPNj9bO9uexOa99+NfcfkD7ZfbfuB2YzQe8xhs709cAnwmgE3HQR8djZzADBuHHzqw2vzmb0nstvuF7PTDiuw+iqLzHCf1758JSY9PIX/+dBF/PYvt/GRd68JwOqrLMJOO6zAO3a/mE/vPZFPf2Rtxs3GJ34XMnQlRxcydCVHFzJ0JcfUqdP4/qFH8f0vfYpf/fCbnHLOhdz879tnuM+Kyy/Dlz72fl62/TYz7D9vwuVcf9OtHPH9r3Pot7/KMX85gUcefWzkIUZgmqcN+9I1o/KlVdLPgDWB4yV9svx6eZSkc4Gjyq+Fp5VfvE+VtGr5u8v7Lo9JepGkRSX9QtJFki6T9IZy33dL+pOkE0pPyHfL/vFqeo6uUtPj9cmyf61y3wnl18n1JL0AeD2wXylzLeAtwAmDPK0FbPf/Yv0YMMtexfKL9BmS/lB+wf2VJJXbXln2XQq8ue9vhnrOx0o6DTi1/OL7+nLbnyX9olx/r6T/K9d3K49zuaSDe40ySQeVX2ivlrRPX9m3SPpOyfRW4EHgyVk8zYfL6wHwJeAjvS8Ntp+0/W3bD42k3LL9rZL7EkmbSTpR0o2lcdr7u70kXVzq0j5l3+pqfqk/tJRzkqSF1fQmbgH8qjzuLBuzkhaSdHipS5dJ2rHsP07SRuX6ZZK+Wq5/XdIHZpHtekm/BK4Cnv7THHy2lHeRpOf2/d1g75k1JJ1f7r9vX+5fSnpj3/avSj16kuaYDmUq8N9y/WPAkbbP691o+xzb/6887uskXVheg1PUNDR7PRb97/m9JR1Z3nu3SnqzpO+W3Ceo9EhL2lzSmeV9eqKklcr+M0r9uEjSPyRtL2kB4OvALuV47jKL5zUDSQ9L+kGpI6dKWr6vrB+Vx7xK0lZl/7Del4MUNV95/a9V8zmwSPm7l5bHmVged8Gy/2mfC5LGqfmcW75v+59lu//9NzP9n1dfAj5j+/ZyPKfa/oXt68tjf7XU26skHSI99Xl1hprRGJcAe5TtH6h5f14raUs1n8k3DKiLM/sMeljS/6np8bxA0ooa/DN5Vsfx3errWZb0N81ilMQAXTs+KwG39W6wPbE85sw+i8ZL+l45XldK+viA12dhScdL+kCpw8eV1/yqmbxnpgBLAIvZnmL7tkHuMyTN2NP7FTWfeedIOkbSZ/ru+tZZvafVfA/ofS+4TNLizPgZ1fMfYKkB+84GdtIz+KHjeWsvwW13PsYddz3OlCnmlLPuZrutl53hPtttvSzHn3oXAGecew+bb7z0U/tPOetuJk8xd971OLfd+RjPW3uJuTJDV3J0IUNXcnQhQ1dyXPvPm3jOs1Zk5WetwPzzz8dLt9uasy++bIb7rLTC8jx39VUo/6U95eZ/38Em66/DfOPHs/BCC/Lc1Z7DBZdNHHGGkZg2ZdqwL10zKg1H2x8G7gB2tP2Dsnt9YCfbb6f5BfVI2xsBv6L5hZXeL5bAV2h+PTyP5kvOaba3Anak+UKxaHnMTYBdaH4Z3UXNL6WbACvb3qD0eB1e7nsI8HHbmwOfAX5avgwfC+xVyr4ReCEwof/5qOkVmqG/2PZvbX9vmC/JpjQ9luvTNKhfKGkh4FDgdcDmQP8Qm6Ge82bAzrZfRPOf4vZl/8pM/5V+e+AsSc8rr88Ly+s6leaXZIAv2d4C2Ah4kUojqLjP9ma2f2N7j/5Gw2Bsf8/2byX1vmzcPMTdh1Vu2f5XyX02cASwM7AN0GuEvRxYG9iK5rhvrulDjNcGflJ6VB4A3mL7DzT1atdyvIfzk9LuzVP0hsDbgSPLsTsb2F7SkjRftF5Y7t977WeV7ae2n2/71kHKfLCU92Pgh2XfoO8Z4EfAQeX+d/Y9xmE0vauUjC8AjrN9nu09hnrCtv9tu/dDxvOBS4e4+zk0vcubAr9hxl/3+9/z0PRSvoSmYXA0cHrJ/RjwGjWNxwNp6vfmwC+A/+t7vPnKe2JP4Gu2nwS+Cvy2HM/fDvW8BrEocEmpI2cCX+u7bZFS9z5acsDw35cDrUtzvJ8HPAR8tNShI4BdymswH/CRmX0u2J5WXrPe+3cn4Arb9/Tef0M90QGfV7M6pj+2vaXtDWhGCry277YFbG9h+/tl+8nyfv4Z8Bea98sGwLslLTuLz6BFgQtsbwycBXxgJp/JA32yryHxiqGe9zB17fj8ADitNPY+qelDPmf2WfRBYHVgk77Ph57FgL8Cx9g+FHglcIftjcvxHexH0idoGmF/6jWWZ5ekLWl+jN0YeBXND3f9hvOe/gzQ693cHnhswGdUzzRghtEq5bj8s5Q/W5ZfdgHuvveJp7bvue8Jll92wQH3WZC7730cgKnT4JFHprDkEvOV/X1/e+8TLL/sAnNlhq7k6EKGruToQoau5Ljnv/ezwnLLPLW9wjJLc8999w/rb5+7+qpceNlEHn/iCR54aBKXXnUdd99334gzjITtYV+6puYwuWP7vqhvC/y6XD8K2K53JzXnI+wHvM32ZJphj5+XdDlwBrAQsGq5+6m2H7T9OHANsBpwE7CmpAPVDMl6SNJiNF+cf18e52CaX3UHsxJwz4B9m9D3C/AgBjuy/fsusn1b+U/scpr/5NcDbrZ9g5uacXTf/Yd6zifb7v3S2mu8rE/z/O9S00OzLU2j+6U0X24uLo/1UpqGK8Dbyi/ml9F8kewfGjbSL+CDkvSK8uXultKTMNJyjy3/TgQutD3J9j3AE+XL1MvL5TKaL8Lr0TTKoHltLy/XJ9C85rNjO8qxsX0dcCuwDs1rvwNNg/E4YLHSU7GGm56bobLdavuCIco8pu/fbcv1mb1nXth3/6N6D2D7TGDt0uPxduCPtqeM6JkPQk3v4rWSflR2PQc4UdJEYC+aY9rT/54HOL68pyfSfMHrfWmdSHN81qVpdJxc6uuXy+P3/Kn8O9zjObNP3N7+aUyvc0fT9zlEeU3dDFlfoq++Ded9OdC/bZ87oJx1aeroP8r+I2nq01CfC78A3lmuv5fpP4rNNkkblvfojX29TzuW4zyRpqHff0yHeo9ebftO20/QfA6vwtCfQU8CvRNRRvIe/YGnD4s8cZh/M5ROHR/bhwPPA34PvBi4oDTgZvZZtBNwcO/9PaAe/gU43PYvy/ZE4GVqeu+3tz3Y6IPDgI8DpwG/Lr2ne0n62Gw8nRcCf7H9uO1JNI3YfsN5T58L7C/pE8BSQ3yO3U7zI/JAdzPI6QmSPqimt/yS/9w6MFZEzCu23mQDtt1sIz70xX352g9+xvPXXYtxsztud5imTZs27EvX1Gw4PjKrO5QG3u9ofnnu9Z6Ipreo90VhVdvXltue6PvzqTS/Xt5P8+viGcCHgZ/TPM8H+h6jd+7IYB6j+ULYy/Qxmv+4fjST+wPcBzx1Rq+kZYB7+25/Ws4hHguGfs5PvY5uhpotRfMr8lk0jZm3AQ+X/6RF00vVe5x1be8taQ2aX3FfWn6hPq7/OTOMYzUYN8NRHy6Pj+0Ty6/EVwELzEa5vddtGjO+htNoXkMB3+p7fs+1fdiAv4XhveYjdTHNr+fb07z2lwEfYHpv9VDZZvX6eibXh3P/fr8EdgPew/Res5G6mqY3rSnI3ppmRMCSZdeBND1UGwIfYhjHs/yAMtnTf0rrP55X971mG9p++cC/Z/jHc4b3ZTHwvdlvqNfdDPN9OYvHHWx7WGz/m+bHoZfQ9GQfPzuPQ98xtT2xvEePBxYuPVg/pek93ZCmd+2Zvkef9hlU7tNfB57Je3QKM/5fttDM7jgTXTs+2L7DzfDhN9A8vw1m86HOBV6pMjarNIQ3o2lA7qsyxH6AnYBzbX+DZuTQQTTnHP5lNjMMZZbvadvfBt5P0/t9rqT1ZvJYfwJ2kHTdgP0LMchQYduHuOk93+JZq71upgHvue9JVlhueu/J8ssuyD33PTHgPk+wwnJNtRs/DhZddD4efGhK2d/3t8styD33zerMj25m6EqOLmToSo4uZOhKjuWXWZq7753+m9nd/72f5Zcd/kQ779r59Rz5/W/wo6/tBYZVVnrWrP/oGcjkOCN3HvA/5fquNA0eaL7cHm777L77ngh8vPcfn6RNh3rgcl7FONt/pOmx2Kw0aG6W9NZyH0nqDV2ZBCze9xDXAs/tbdj+MU2P45eGKPYMmqGyvf71dwOnD5UTuA5YXdPP4Xl7320jec4X0Azz6TUcP8P01/NUYGdJK5THWUbSajTnrzwCPKjmnLRXzSIr5e+/pZnMsNfnW8BBveFV5Tn0vsjNVrlDOBF4b/nBAUkr957rEAYe71k5mzL8TNI6ND1M17sZUvVvmvNAz2f6a9+bVGl2svXs0vfv+eX6zN4z5w7Y3+8ImrqB7WsGFqJmttRfDtw/wE9ohh2+oG9f/1nvS9L80g/wrlk81qxcDywvaduSb35Jz5/F3wx1PC+mGRb+rPJ4WwAL0hw3aD7/erPo/i/NsNueXcrfbEczdPhBRvhZ1GfV3nPqK+d6mvd/77PmHTTDZYf6XIDmh7Cjgd/bnjqwIEkfG0bP0LeA70nq783tne/be6/eW+ruM51leGafQUMZ6Xv0FmCT0jO2Ck2jbSQ6dXzUnEPZO+f3WcCyNO+xQT+LgJOBD6mcx1d+uOz5KnA/zfsYNTNKP2r7aJqRPZvxdFfS/OAEzdDzlwJPlIbxSJ0LvE7N+ZmLMeOw55mZ4fhLWqv8wPEdmvf0zBqO7wROsD3w9nVofrycLdfd8BCrPHthVlpxIeabT+y0wwqce9GMw9jOvfA+XvXSZm6pF79weS69shkid+5F97HTDisw/3xipRUXYpVnL8y1Nzw0V2boSo4uZOhKji5k6EqO9Z67BrfdeRd33HUPkydP4dRzLmS7LYb3X/TUqdN4cFJzivk/b/k3/7z132y1yez+Vjc89rRhX7qmrRkAPw4cLmkvmmGh7ylfJnYG1pH03nK/9wPfoDnP60o15xrezND/+axcHrvXKP5C+XdXmgbNl4H5ac7HuqL8e2gZBrMzTS/Yh2i+AABg+/oB/xnPwPbfJG0OTJA0FbiRprdzpmw/LumDwHGSHqX5UtD7z3Ikz/ls4OW2/ynpVpoelbNLGdeU53tSeZzJNOeKXCDpMpovQf+m+c99ODZk+tC0mTmI5tylCyU9QTPhw7nAZbYfnM1yB2X7JDXnUJ1fvss/TPOF52lf2PocAfxM0mPAtn76eY4HS/phuf5vmnPZDirD9qYA7y5D8aB5nV9q+zFJZ9MMq+y99rOTrWdpSVfS/Brf+2L6tPdM2b8HzXCyzzGgR8D2XZKuBf7fTMpZlVlM2mH7P2qGMH5H0so0w77upZnAAmBvmiHg99MMbVtjGM9vZmU9qWYCowPUnJc5H8374Ooh/ux0pg8f/Zb7ziUrz38P4O+l/j8MvN3TP4kfAbYq75G7md5gB3i81NX5aYYdwsg/i3quB3ZXM3nVNTTnpD4u6T00r918NF+If2b7iSE+F6B5/x3OzIdBrscs3le2/65mCPPxaiaqeYDmi/WJth+QdGjZ/g8zmVFzuGb2GUQzzHJmZvhM9uDnOfY7l+ZYXEPzw99Q528OplPHh2ZI9I8kPV629yrvw58yyGeRpJ/TNI6ulDSZppe4fxmaPYBfqJlA7lSac3On0RyLjwxS/jtpPgc/DTwOfA94i6RP2d5/FtlnYPtiScfSNEbvounpnNXkXDO8p4Ht1EwENI3ms2BmPblLAzf07yg/UD5m+z8jyd1v6jTY/2f/ZP99NmTcOHHcKf/h5n89yvt2XZ3rbpjEuRfdx99OvpOvfKpZauChhyez93ebgQg3/+tRTjvnHo7+6ZZMnWr2/9k/mZ2RZ13I0JUcXcjQlRxdyNCVHPONH88n378bn/rG95g6bRqvfcn2rLnqyhx6zJ9Y77lrsP2Wm3LtP2/iC985kEmPPMK5l1zOz3/zZ371o28yZeoUPvrlbwKwyMIL8dU9Psh840dzcn86OenNcMkdPPGybZLOAV7rvunEJT0EPKf0Xs6TJJ1oe05MRhEVqDnnciJNr/vTvqxJ2g84yvaV1cN1gKSHbS82yP4zaGYdvaR+qqGVXtMfuFl+YLDb/wa8ufSIR2U5Pk8naTHbD5fPo7OAD9oeaeN+OOX8FJho+6C+fZ8EHuo7TWBQ273uzHwRipgL/L9vzd4EPnPSchtsq1nfa2iveNflw/7MOfHITZ5xeXNSp9eQa9GnmT7pRc/3gHM066GaY1YajXMPSTvR9L4cOFijEcD2XvNqo3FuJOnzwB+ZPoriaWy/dl5qlHRJjs9MHVJ6Dy+lmaRrNBqNZ9FM4jRw1e8HaCY2iojojLn5HMf0OEZERMQ8Kz2OEXOHsdLj+LJdJwz7M+fkX23eqR7Hts5xjIiIiIiImKd0sSdxuNJwjIiIiIiIqKCLs6UOVxqOERERERERFUydMpwJ9rspDceIiIiIiIgK5uahqplVNSIiIiIiogJ72rAvsyLplZKul/TPMrv3wNsXlPTbcvuFklbvu+0LZf/1koa1ckIajhERERERERXMqeU4JI0HfgK8ClgfeLuk9Qfc7X3A/bafC/wA+E752/WB/6FZyuiVwE/L4w0pDceIiIiIiIgKPG3asC+zsBXwT9s3lTWCfwO8YcB93sD09Wz/ALxUksr+39h+wvbNwD/L4w0p5zhGRETEPOucv77oGa+TJumDtg+ZE3nm9hxdyNCVHMnQrRxdyAAj+8yR9EHgg327Dul7DisD/+677TZg6wEP8dR9bE+R9CCwbNl/wYC/XXlWedLjGBEREfHMfHDWd6miCzm6kAG6kSMZputCji5kGBHbh9jeou/SasM3DceIiIiIiIi5y+3AKn3bzyn7Br2PpPmAJYH7hvm3T5OGY0RERERExNzlYmBtSWtIWoBmsptjB9znWOBd5frOwGm2Xfb/T5l1dQ1gbeCiWRWYcxwjIiIinpnWz5squpCjCxmgGzmSYbou5OhChjmmnLP4MeBEYDzwC9tXS/o6cIntY4HDgKMk/RP4L03jknK/3wHXAFOA3W1PnVWZahqdEREREREREYPLUNWIiIiIiIgYUhqOERERERERMaQ0HCMiIiIiImJImRwnIiIiYpgkbQvsBmwPrAQ8BlwFHAccbfvBilm2KDme3ZfjZNv318pQcizdl+EW29Nqll8yjAM27stxle27K2do9Xh0rG62fjxKjtbr5liSyXEiIiIihkHS8cAdwF+AS4C7gYWAdYAdgdcB+5fZDEczx3uAjwM3AxMG5HghTWPhK7b/NYoZlgR2B94OLADcUzKsCFwA/NT26aNVfl+OtYDPATsBN/TlWAd4FDgYOHI0GwwdOR5dqZtdOB6dqJtjURqOEREREcMgaTnb9z7T+8yBHLvTTL3/2Exu3wRY1vapo5jhZOCXwF9tPzDgts2BdwATbR82WhlKWccABwFne8CXWkkrAP8L3G/7yFHM0IXj0ZW62YXj0Ym6ORal4RgRERERERFDyuQ4EREREbNJ0pfbzgAg6fltZ4jpunA8ulI3Y+xIwzEiIiJimCSNl7S0pOUkvRT4oqStJC0jaaGWMi0InFomJGlNOc+udZKuabn8Vo5HF+tmydXq8SgZOlE353aZVTUiIiJiGCR9H3gvcD9g4DbgncDPgKWBxSUdbnuvUc7xopJjKWA8zcQjFwKXS7oFeAT4+SifU7cAzcQvvQwbA1tK+hzNpCiPAOfYfmS0MpQcKwCv6cuxEbCIpIP6cvzN9u2jmKELx6MrdbMLx6MTdXMsyjmOEREREcNQek42sj1lJrcvAFxse+NRznE18HXgP8A04HbbN0naiKaRsCLwGdtbjWKG04An+jMAR9LMZrk0sAIwzfbrRitDyXERzUym/Tn+RNNo6uVY3/aOo5ihC8ejK3WzC8ejE3VzLEqPY0RERMTwfHRmX8wBbD8paY8KOU6w/dtByr+yd13S1qOcYRnbmwyy/1N9GS4b5QwAj9v+yCD7D+jLceYoZ+jC8ehK3ezC8ehK3Rxz0uMYERERESMiaTHbDz/T+0TMaamboycNx4iIiIhhkPTOcvUx279vNUxEn9TNqCFDVSMiIiKGZ43y76Q2Q0i6mWYClHtsj/YQyJllOLxkeND2J9vIUHKcXnL81/bOLWVo/XjQnbrZhePRibo5FqXHMSIiImIEJC1r+762c7SpzCQK8ITtC1rMsVq5OtX2bW3l6Iq262YXjkdX6uZYlHUcIyIiIkbmAkm/l/RqSWorhKQ/SnpNG+s32j4TOAf4eO2yB+S41fatwJskLd1mljaPR59W62bf8bi/9zpIWkfS6yXNXylDJ+rmWJSGY0RERMTIrAMcArwDuEHSNyWt00KOg4D/LRm+LWndmoXbngqsVpZ6aNuKwMWSfifplS016Fs9HkVX6uZZwEKSVgZOKnmOqFV4x+rmmJGhqhERERGzSdKOwNHAosAVwOdtn185w5LA24EvAf8GDgWOtj25Qtm/BJ4HHEuzsDoAtvcf7bIHySLg5cB7gC2A3wGH2b6xco7WjseAHK3VTUmX2t5M0seBhW1/V9LlM1kmY7QydKZujhWZHCciIiJiBCQtC+xG04tyF82QuGOBTYDfM32iktpZLgN+BWwHvAt4cYUIN5bLOGDxCuXNlG1L+g/Nwu9TaBZ7/4Okk21/tkaGto9Hh+qmJG0L7Aq8r+wbX6nsns7UzbEiPY4RERERIyDpH8BRwOEDJwCR9Dnb36mU48/AuiXLEbbv7LvtEttb1MjRBWVx+3cC9wI/B/6f7cnlPLsbbK9VIUPrx6NDdXMH4DPAuba/I2lNYE/bn6hRfoyONBwjIiIiRkCS3IEvUJJ2tH16yxmWBz4LPB9YqLff9ksq59gH+EWZmGXgbc+zfW2FDF04Hl2pm28duJ7kYPtGOUMn6uZYkoZjRERExDBI+ivN+nCDsv36SjnePNTttv9UI0fJchLwW5repQ/TDMm8x/bnKpW/zFC32/5vhQytH4+u1M2e3jmOs9o3yhlarZtjUc5xjIiIiBie75V/3ww8i2biEWgmQrmrYo7XlX9XAF4AnFa2dwTOA6o1HIFlbR8maY+yDMKZki6uWP4EmgaTgFWB+8v1pYB/Ueecvi4cj07UTUmvAl4NrCzpgL6blqA577SmtuvmmJOGY0RERMQwlC+fSPr+gPPV/irpkoo53lNynAys3zuXTtJKVFzyoOjNFHqnpNcAdwBD9gLOSbbXAJB0KPBn238v268C3lgpQ+vHoyt1k+b4XwK8nqZR3zMJ+GTFHNBy3RyL0nCMiIiIGJlFJa1p+yYASWvQLHlQ23P6J2Ch6VlatXKGfcvyE58GDqTpWardQADYxvYHehu2j5f03coZunA8Wq2btq8ArpD069rLjwyiK3VzzEjDMSIiImJkPgmcIekmmmGRqwEfbCHHqZJOBI4p27sAp9QMYPtv5eqDNEMz23KHpC8zfYjmrjQ9TDW1fjzoTt3cStLepfz5ShbbXrNWgA7VzTEjk+NEREREjJCkBYH1yuZ1tp9oKcebgB3K5lm2/1y5/HWAg4AVbW8gaSPg9bb3rZxjGeBr9L0WwD41JscZkKPV41EytF43JV1H04idAEzt7bd9X8UMnaibY0kajhEREREjIGl+4CNMbyCcARzcxtA8SSsCW9FMEHOR7bsrl38msBfN89+07LvK9gY1c/TlWZymZ+vhlspv+3h0om5KutD21jXLHCRDp+rmWDCu7QARERERc5mDgM2Bn5bL5mVfVZLeBlwE7Ay8DbhQ0s6VYyxi+6IB+2rPnomkDSVdBlwFXC1pgqSqDYSOHI9W66akzSRtBpwuaT9J2/b2lf01daJujiU5xzEiIiJiZLa0vXHf9mmSrmghx5dKlrvhqQXPTwH+UDHDvZLWoqwhWBpKdw79J6PiYOBTtk8vOV4MHEKzPEYtXTgebdfN7w/Y7p/h1cBLKmbpSt0cM9JwjIiIiBiZqZLWsn0jgKQ16TuPq6JxA4ZC3kf90WS70zTQ1pN0O3AzzcQ0tS3aazQC2D5DUu2ZbrtwPFqtm7a7NAlNV+rmmJGGY0RERMTI7EUzFK9/5sr3tJDjhEFm8fx7zQBl2YedSiNtnO1JNcvvc5OkrwBHle3dgJsqZ2j9eNCRuinpU4PsfhCYYPvyGhk6VDfHjEyOExERETFCZebKdcvm9S3OqvpmYLuyeXYLs6reCFwAnF3Kv7pm+X05lgb2oe+1APa2fX/lHK0ej5Kh9bop6dc0w1T/Wna9FrgSWB34ve1RX2OzK3VzLEnDMSIiImIEJC0EfJSmgWCaL6Y/s/14C1meBWwNTAMutv2fyuUvWMrfHnghTYPlSttvqpmjL8+SwLS2epc6cDw6UTclnQW8uje7raTFgOOAV9L0Oq5fIUOn6uZYkFlVIyIiIkbml8DzgQOBH5frRw35F6NA0vtpZvF8E81MnhdIem/lGFOByeXfacDd5VKVpC0lTQSuACZKukLS5pUzdOF4dKJuAisA/T2dk2nWU3xswP7R1Im6OZakxzEiIiJiBCRdM7DHZLB9FXJcD7ygt6i6pGWB82yvO/RfztEMjwITgf2BU2ou8D4gx5XA7rbPLtvbAT+1vVHFDF04Hl2pm1+haUD/pex6HXAszayrh9ge9UlqulI3x5L0OEZERESMzKWStultSNoauKSFHPcB/UMyJ5V9Nb0dOItmeORvJO0j6aWVMwBM7TUaAWyfQ/01+7pwPDpRN21/A/gg8EC5fNj2120/UqPRWHSlbo4Z6XGMiIiIGIYyFNLA/DTnS/2rbK8GXFerV6dvxspNgA1penUMvIHmHK5318gxINN6wKuAPYEVbC9cqdzeovLvBBammdHUNDOaPm57sNk953SG1o9Hh+rmErYfkrTMYLfb/m+NHAMytVI3x6IsxxERERExPK9tO0CxePn3xnLp+csg9x1Vkv4IbFxynEXTgLuwYoSBC85/re96rd6RLhyPrtTNX9NkmcCMr7/K9pq1gnSgbo456XGMiIiIiBGTNA54AXC+7WqLzEd3SXqL7T+2nQOeOs91hropacG2ls4ZC3KOY0RERESMmO1pwIFpNEafL7UdoM8Bg9TN81tJMkZkqGpEREREzK5TJb0F+JMzjC06oKyluTKwsKRNaYbJAiwBLNJasDEgQ1UjIiIihknSeJqp/XfsQI5P2P5ByzkmAYvSrJX3GOVcNttLVMwwDtjG9nm1yhwkQ+vHowt1syyB8c/BbqKpF6O+PIqkdwHvBrZgxhllJwFH2P7TaGcYq9JwjIiIiBgBSacCb7b9YMs5LrK9VZsZukLSZbY3bTlD68ej7bop6Wrg1TO73fatFbN05nzLsSJDVSMiIiJG5mFgoqSTgUd6O21/onKOcyX9GPjtgByX1gogScCuwBq2vyFpFWAl2xfVylB0Ychs68eD9uvmkzUbh7PwN0n/C6xOX5vH9tdbSzSXS49jRERExAiUoXBPY/vIyjlOHzyGX1Ixw0HANOAltp8naWngJNtb1spQcnRhyGwXjkerdVPSj21/rEZZsyLpBOBBmqVBnpokx/bAJVximNJwjIiIiBghSQsDq9q+vu0sbZJ0qe3N+oeKSrrC9sZtZ5tXpW42JF1le4O2c4wlWY4jIiIiYgQkvQ64HDihbG8i6dgWcqwo6TBJx5ft9SW9r3KMyWVSFpcMy9P0QFalxm6SvlK2V5FU9XzDLhyPrtTNjjhP0oZthxhL0nCMiIiIGJm9ga2ABwBsXw6s2UKOI4ATgWeX7X8Ae1bOcADwZ2AFSf8HnAN8s3IGgJ8C2wL/W7YfBn5SOcMRtH889qYbdbM1kiZKuhLYDrhU0vWSruzbH7Mpk+NEREREjMxk2w8288I8pXovG7Cc7d9J+gKA7SmSBi54Pqps/0rSBOClNOcVvtH2tTUzFFv3hsyWXPdLWqByhtaPB92pmwBI+ijwF9u3S9rT9g8rFPvaCmXMk9JwjIiIiBiZq8tsjeMlrQ18AmhjDcFHJC3L9GGi29BMBjLqJC3Tt3k3cEz/bbb/WyNHny4MmW3tePTpSt3sWQT4paQngPHAD0e7wN6srgPqaM+k0S5/LMtQ1YiIiIiR+TjwfOAJmgbTQ9QfkgjwaeBYYC1J5wK/LNlqmECzuPoE4B6aYZk3lOsTKmXo1xsyu2KLQ2bbPB49rdZNSW+Q9Oy+Xd+nqRdrA7XXVLyUp9fNWyRdKmnzylnGhMyqGhERETEbJC1Bs9xCa70YkuYD1qUZJnq97cmVyz8U+LPtv5ftV9EMV/1QzRyl7PVohswCnNbGkNm2j0dfjlbqZjmHcBPb0yTNT9N4vR34HHCG7W0qZjkU+IPtE8v2y4G3AIcDP7K9da0sY0V6HCMiIiJGQNKWkiYCV9Istn5FGz0Yks4B9gFWAW5tqZGyTa/RCGD7eOAFLeSAZljkeJrvtwvXLrwLx6MDdXP+kmNJmpldL7O9h+3HqX9Mtuk1GgFsnwRsa/sCYMHKWcaENBwjIiIiRuYw4KO2V7e9OrA7TS9Gbe8ArqfpRTlP0iWSflA5wx2Svixp9XL5EnBH5QxI+ipwJLAMsBxwuKQvV47RhePRdt38LXBduSwLnFmWSnknzbmwNd0p6XOSViuXzwJ3lXNhW5swaG6WoaoRERERI9C/2H3fvkttb9ZClpWAFwHbAzsC/7L9yorlLwN8Ddih7DoL2Kf25DiSrgc2Lj1bSFoYuNz2upVztH08Wq+bkp4DTKE5z/IwYCfgCuCdtm+umGM5mrq5Xdl1Lk2P8IPAqrb/WSvLWJGGY0RERMQISPohzbC7Y2hm0NwFeBw4GsD2pZVy3AjcC/waOJumoTRP9qRIOh14k+0HyvZSwJ9sv6RihtaPR1fqZoxNaThGREREjEBppMyMazVWJO1B05uyCs3QwDOBs2zfWKP8kmEd4DPA6vQt81azwVZy/D9gS+BkmgbTy4CLgNtKnk9UyNCF49GJutkmST+0vaekv1KWRuln+/UtxBoT0nCMiIiImItJWgx4D00D7jm2x1cs+wrgZzRLcDy12L3tqktySHrXULfbPrJiltaOR4CkzW1PkPSiwW63fWbtTGNFGo4RERERI1AWee+dO2WaNQO/bvu+yjm+XzIsBpxPMzzybNs3VcwwwXYn1sSTtACwHs0xud72k5XL78Lx6ETdjLEpDceIiIiIEZB0Ms0kMEeXXbsCL7a9U+UcO9M0TO6qWe6ADHvTzJb5Z5rJUABoYXKcVwMHAzfSrKG4BvChsjxIrQxdOB5dqZtvBU6wPanMbrsZsG+NcyzLcN2ZNXBs+6UzuS1mIQ3HiIiIiBGQdJXtDQbsm2h7wxayvJ7pM5qeafuvlcsfbJZM216zco7rgNf2ZsqUtBZwnO31Kudo+3h0om5KutL2RpK2A/YF9gO+anvrCmUP1gO+DfBZ4G7bW452hrFqvlnfJSIiIiL6nCTpf4Dfle2dgROHuP+okPQtYCvgV2XXJyRta/uLtTLYXqNWWbMwacDyCjcBk2oG6MLxoCN1k+nnu74GOMT2cZL2rVFw//m15TzHrwALAR+u2QM9FqXHMSIiImIEJE0CFqX5cixgHPBIudm2l6iU40pgk96SD2Vh88tsb1Sh7DcP2GWapSgut121wVbyHASsRtNgMvBW4F/AKQC2/1QhQ2vHoy9DV+rm34DbaWa33Qx4DLjI9saVyn8F8GWa4dP/Z3uo2WZjmNLjGBERETECthdvO0OfpYDe+YRLViz3dYPsWwbYSNL7bJ9WMQs0PUp3Ab2ZNO+hWc/wdTQNyVFvOBZL0c7xADpVN98GvBL4nu0HJK0E7FWjYEkXA8vTDI89v+zbrHd71rKcfelxjIiIiBiG/i+fhYF7bf+7pTxvB74NnE7Tu7QD8Hnbv20jT8m0GvC7GueydU2bx6ODdfN9tg8bsO/btj9foewzmD45jmmORc88sZblaEnDMSIiImIYZrK4+jLAAsDbbV9eNxGUnpzeZB8XAavZvrB2jn6SLrU9sCEzWmUdyIwzaPaGzJ5u+5waGQbkaeV4dK1uSvo78CvbvyrbPwEWsv2+mjlizkrDMSIiIuIZkLQFsL/tHWZ559HP8i/bq7ZY/rrAEba3rVTeuwbZvQzNUMnf2v5hjRwz04Hj0UrdlLQwcCzwC5ohqw/Y3qNS2b3n+qTtC2qUOa9IwzEiIiLiGarZyzaLHP+2vUqFcv7K09fKWwZYCdjN9vmjnWEopeFynu1NW85R5XjMIkPNHuBl+jYXB/4fcC7wVaizvqekw8vVB2x/crTLm5dkcpyIiIiIZ0DSisx8wfHaauX43iDl3gfcYPvJShlmyvZjkmZ9x9HXar1ooW5OYPp5hb1/X1MuBkZ9fU/b7xntMuZVaThGREREDMMg59NB08v2AqDKMLySY7DePmi+pC9bI4PtM2uUMzskzQe8A7itUnmtH4+u1M0OresZoyBDVSMiIiKGYZDz6Xq9bBfbvrtijhcNdXuNRp2km2me/z1tzqBa1i0c+GX2MeBMYE/bd1TI0IXj0Ym62Zdnd5rJcR4o20vTTNLz09pZYs5JwzEiIiIiIuYYSZfb3mTAvsvaPuc0nplxbQeIiIiIiIgxZbz6TjKVNJ5maZDWSNpC0rPbzDC3yzmOERERERExJ50A/FbSwWX7Q2Vfmz4ObCTpH7Z3aTnLXCk9jhEREREjIOmtw9k3r+SIRheORxcyFJ8DTgc+Ui6nAp9tIcdTbL+rDJV9f5s55mY5xzEiIiJiBAZbF6+NdRy7kqMLJB1l+x2z2jfKGVo/Hl3I0FfuAsC6NBP1XG97cqVyVy1Xp9q+vUaZ84oMVY2IiIgYBkmvAl4NrCzpgL6blgCmzGs5BiPpFGAy8BPbf6tY9PMH5BgPbF6j4C4cjy5kGJDnxcCRwC00y5KsIuldts+qUPyR5d/7gJ0rlDfPSMMxIiIiYnjuAC4BXk+z0HnPJOCT82COwbwTWAnYpkZhkr4AfBFYWNJDvd3Ak8AhNTLQjePRhQz9vg+83Pb1AJLWAY6hQmPe9o6jXca8KkNVIyIiIkZA0vy1ht3NDTm6QNK3bH+h5QytH48uZCg5rrS90az2jXKGtwIn2J4k6cvAZsC+ti+tlWGsScMxIiIiYgQkvRDYG1iNZvSWANtec17JIel0mnPX/mu7E8MBJa3M9NcCgEpDI3vlt14vupCh5PgFMA04uuzaFRhv+70VM1xpeyNJ2wH7AvsBX7W9da0MY00ajhEREREjIOk6muF/E4Cpvf2275tXckharVydavu20S5vViR9G/gf4Bqmvxa2/fqKGVqvF13IUHIsCOwObFd2nQ381PYTFTNcZntTSd8CJtr+dW9frQxjTRqOERERESMg6cIu9Fp0IYekRYHHbE8r57GtBxxfe7ikpOuBjWo2TAbJ0IXj0XqGfmVm1ecDt9u+u3LZfwNuB15GM0z1MeAi2xvXzDGWpOEYERERMQKld2s88CfgqYZK7XOnupBD0gRge2Bp4FzgYuBJ27vWylByHA+81fbDNcsdkKELx6PVDJJ+Bhxo+2pJSwLn0/R8LgN8xvYxNXKULIsAr6TpbbxB0krAhrZPqpVhrMmsqhEREREj0+vR2aJvn4GXzIM5ZPtRSe+jGYr4XUmXVyy/51HgckmnMmOD6RMVM3TheLSdYXvbHy7X3wP8w/YbJT0LOJ5mZtUqSr28m2a47A00y5LcUKv8sSgNx4iIiIgR6Mp0/x3JIUnb0kx+8r6yb3wLOY4tl9Z04Xh0IMOTfddfBvwewPZ/JFUNIulrNA3odYHDgflpJut5YdUgY8i4tgNEREREzE0krSjpsDI8Eknrlx63eTHHHsAXgD+X4YlrAqdXzoDtI4HfARfYPrJ3qZmhC8ejAxkekPRaSZvSNNBOKDnmAxaumAPgTTTrWj4CYPsOYPHKGcaUNBwjIiIiRuYI4ETg2WX7H8Ce82iOFW2/3vZ3AGzfRDODZlWSXgdczvSGyiaSavdAHkH7x6PtDB8CPkbTw7en7f+U/S8FjquYA5pzbU0zVLc3kVM8A2k4RkRERIzMcrZ/R7NOHban0Lf0wTyW4wvD3Dfa9ga2Ah4AsH05UHXtQrpxPFrNYPsftl9pexPbR/TtP9H2p2vlKH4n6WBgKUkfAE4BDq2cYUzJOY4RERERI/OIpGWZ3pOxDfDgvJRD0quAVwMrSzqg76YlaCYhqW2y7QcHnEc3rXKGLtSLVjOU8woNPGx7/1rlDsb29yS9DHiI5jzHr9o+uc1Mc7s0HCMiIiJG5lM0E7GsJelcYHlg53ksxx3AJTTnkE3o2z+JZgH62q6W9L/AeElrA58AzqucoQv1ou0Mt5R/H6tY5kyVhmIai3NI1nGMiIiIGKEy2ce6gIDray9435UckuZv67kPyLEI8CXg5TSvxYnAN2w/XjlH6/WiCxnaJOkc29tJmkTpee3dBNj2Ei1Fm+ul4RgRERExApLGA68BVqdv9FbtoXldyCHphTTnF65WMvS+nNc+v7B1HTkerWeIsStDVSMiIiJG5q/A48BE6p9H17Uch9EMTZ1AOxMEASBpC+CLPL3BtFHFGF04Hl3I0LrSgL7a9nptZxlL0nCMiIiIGJnnVG6QzEwXcjxo+/iWMwD8CtiLdhtMXTgeXcjQOttTJV0vaVXb/2o7z1iRhmNERETEyBwv6eW2T5pXc0jarFw9XdJ+wJ+AJ3q32760cqR7bNdet3GgLtSLLmR4GkkfBe4D/liWCKlhaZpJky4CHunttP36SuWPOWk4RkRERIzMBcCfJY0DJtPepBtt5vj+gO0t+q4beEmFDP2+JunnwKnM2ID9U8UMXagXXcgwGAHbAbvSzMRbw1cqlTPPyOQ4ERERESMg6WbgDcBEt/hFqis5ukDS0cB6wNVMH6pq2++tmKH149GFDF0iaUVgy7J5ke2728wzt0uPY0RERMTI/Bu4qgNfzFvPIelTg+x+EJhg+/KKUba0vW7F8gbT+vFoO4Okd5arj9n+fRsZ+rK8DdgPOIOmx/NASXvZ/kObueZmaThGREREjMxNwBmSjmfGYZG1lzzoQo4tyuWvZfu1wJXAhyX93vZ3K+U4T9L6tq+pVN5gunA82s6wRvl3UqXyhvIlmh8U7gaQtDxwCpCG42xKwzEiIiJiZG4ulwXKZV7O8RxgM9sPA0j6GnAcsAPNEh21Go7bAJeXoZpPMP3cvpozjHbheLSawfY+AJKWrV32IMYNGJp6HzCurTBjQRqOEREREcNU1odbx/auyQHACvT1bNFMyLKi7cckPTGTv5mjJAn4EHBrjfJmkqH149GFDH0ukHQ5cDhwfEtDZ0+QdCJwTNneBfh7CznGjDQcIyIiIoaprA+3mqQFbD85r+egWT/xQkl/KduvA34taVGgyrBR25b0E9sb1ihvJhlaPx5dyNBnHWAn4L3AAZJ+Bxxh+x+1AtjeS9KbaWZzBTjE9p9rlT8WZVbViIiIiBGQ9EvgecCxzLg+XNVzHDuUYwvghWXzXNuX1Cy/ZDgS+LHti2uX3Zeh9ePRhQyDZNoROBpYFLgC+Lzt8yuUuyjweGlQrwusS9P7OXm0yx6r0uMYERERMTI3lss4YPF5MYekJWw/JGkZmglZbuq7bRnb/62ZB9ga2FXSrTQNpjbOcexCvehCht45jrsB7wDuAj5O05jdBPg90yfRGU1nAdtLWho4AbiEZrhqF4byzpXS4xgRERERIyLpb7ZfWyaj6f8y2WuwrVk5z2qD7bfd2nmP8zJJ/wCOAg63fduA2z5n+zsVMlxqezNJHwcWtv1dSZfb3mS0yx6r0uMYERERMQJlWv/PAs8HFurtt/2SeSjH4aWsGj1Hs9RrIEpagb7XoqYu1IsuZCjWndmEODUajYUkbUvTw/i+sm98pbLHpExJGxERETEyvwKuoxlutw9wC9DGuXVt5vhSpXKGRdLrJd1AsxTFmTSvxfGVY3ShXrSaQdJfJR0L/EXSsQMvtXIUewJfAP5s+2pJawKnV84wpmSoakRERMQISJpge3NJV/bOoZN0se0t55UcvWGAo13OcEm6AngJcIrtTcuELLvZft8s/nROZmi9XrSdQdKLytU3A8+imRQH4O3AXbY/WSPHILnGAYvZfqiN8seKDFWNiIiIGJnerIx3SnoNcAewzDyWYz1JVw6yv41JaQAm275P0jhJ42yfLumHtTOUf9usF61msH0mgKTv296i76a/Sqo6266kXwMfBqbS9LouIelHtvermWMsScMxIiIiYmT2lbQk8GngQGAJoI2elDZz3EyzZmNXPCBpMZqZNH8l6W76lqOopAv1ogsZABaVtKbtmwAkrUGzHEdN65eZf3elGbb8eWACkIbjbMpQ1YiIiIgYEUmX2d607Rw9Zc2+x2jm79gVWBL4le37Wg02j5L0SuAQmmVaBKwGfND2SRUzXE2z/Mevadb4PFPSFbY3rpVhrEmPY0RERMQwSHo+sJbtY8v2D2gaKNB8Mb10HspxboUyhs12r3dxGnBkzbK7cDy6kKGf7RMkrQ2sV3ZdZ/uJmhmAg2kmB7oCOKss2ZJzHJ+BzKoaERERMTzfBu7t234FcBzNTI1fnZdy2P5YjXJmRdL7JO3Vt327pIckTZL04UoxWj8eHcnwFEnzAx8CvlIuHyj7qrF9gO2Vbb/ajVuBHWtmGGvScIyIiIgYnpVsn9e3/ZDtP9o+ClhuHszRBR8GftG3fbftJYDlaWbyrKELx6MLGfodBGwO/LRcNi/7qpG0oqTDJB1fttcH3lUzw1iToaoRERERw7N4/4btbfo2V5gHc3SBBpzH+HsA249LWrhShi4cjy5k6LflgHMJTytLptR0BHA409cc/QfwW+CwyjnGjPQ4RkRERAzPHZK2HrhT0jY0yx7Mazn6y/6opJXL9T0rFr1U/4btb5YM46jX09aF49GFDP2mSlqrL8eaNMti1LSc7d/RnPeK7SktZBhT0uMYERERMTyfA34r6QigN9nI5jTD33aZB3P0WwT4paQngPHADyuVe5KkfW1/ecD+rwO1ZvDswvHoQoZ+ewGnS+qfVfU9lTM8ImlZwPBUI/rByhnGlCzHERERETFMklYEdgeeX3ZdDfzE9l3zUg5JbwAutn1H2RbNOWwvBfazfUilHIsCPwe2pJk9E2Bj4BLg/bYfrpSj9XrRhQwD8iwIrFs2r689q6qkzWjWstwAuIrmvNedbV9ZM8dYkoZjRERERIyIpCuBTWxPK7NlHgPcTtPzdcaAc+xq5FmT6Q2ma2zfWLP8mJGkhYCPAtvR9PidDfzM9uOVc8xH03gVTeN1cs3yx5o0HCMiIiKGQdLpNF+C/2t753k5h6RraRpqiwN/Ak6z/X/ltmqLrEtatVydavv2GmUOkqELx6P1DAPy/A6YBBxddv0vsJTtt1bMsDvwK9sPlO2lgbfb/mmtDGNNGo4RERERw1AWEIemkXLbvJxD0t40jYHFgbuAjwHnAu8A3mH7ZZVynF6u3tdio60Lx6P1DP0kXWN7/VntG+UMl9veZMC+y2xvWivDWJPJcSIiIiKGoSwg3rou5LC9t6SfA1OAJ2iWOPg7zXmG76yYo/UF3TtyPFrPMMClkraxfQFAmfH1ksoZxkuSSy+ZpPHAApUzjCnpcYyIiIiIiGdM0kSaIbPz05xb+K+yvRpwXeUex/1KuQeXXR8C/m3707UyjDVpOEZERERExDPWN2R2UDV7Rstanh8Ediq7TgZ+bjtrOc6mNBwjIiIiImJMKUu1PN5rKJahqgvafrTdZHOvcW0HiIiIiJibSTpS0kGSNkiObpC0UllHsM0MrR+PLmRo0anAwn3bCwOntJRlTEjDMSIiIuKZ+THNF9J3zGs5JL1V0uLl+pcl/aksvN62o4DrJH2vxQxdqBddyNCWhWw/3Nso1xdpMc9cL0NVIyIiImK2SLrS9kaStgP2BfYDvmp765ajIUnA+ravbjtL1CfpXODjti8t25sDP7a9bbvJ5l5ZjiMiIiJiGCQdTjND5IO2Pzmv5yh6E428BjjE9nGS9m0zUE9ZhmHUG41dOB5dyFByTCo5nnYTzSFZomKcPYHfS7qjlP8sYJeK5Y85aThGREREDM8R5d8n2gxBd3IA3C7pYOBlwHfKeYXVToWSdDNNQ+WeFns5jyj/tnk8upAB24u3WX4/2xdLWo9mWRCA64FlWow018tQ1YiIiIhhKjMz/tL2rskBkhYBXglMtH2DpJWADW2f1Gau2rpwPDqSYciGme3/1srSI2kp4C3A/wLPs/3s2hnGivQ4RkRERAyT7amSVpO0gO0n5/UcwNttH9aX605JewBVG46S/gj8Ajje9rSaZUM3jkcXMgATaHqANchtBtasEULSwsAbaBqLmwKLA28EzqpR/liVhmNERETEyNwEnCvpWOCR3k7b+8+DOd4i6XHbvwKQ9BNgoYrl9xwEvAc4QNLvgcNtX185QxeOR6sZbK9Ro5yhSPo1sD3NjxcHAqcB/7R9Rpu5xoI0HCMiIiJG5sZyGUfTkzEv53gLcKykaTRDVh+w/b7aIWyfApwiaUng7eX6v4FDgaNtT64QowvHowsZkLTDYPtt1+jxWx+4H7gWuLb0xObcvDkg5zhGRERExIgMOJdtceD/AecCX4XWzmVbFtiNZs3CO4BfAdvRnHP54tp55mWS/tq3uRCwFTDB9ksqlb8ezQ8IuwD30kyQs4Htu2qUP1al4RgRERExApKWBz4LPJ++YZm1vhR3IUffbKbi6ee02XaVc9n68vyZpnFwFHCE7Tv7brvE9hYVMrReL7qQYTCSVgF+aPstLZS9OU0j8m3AbbZfUDvDWJGhqhEREREj8yvgt8BrgQ8D7wLumZdydOFctgEOsH36YDfUaDQWXagXXcgwmNuA57VRsO0JwARJe9Gc+xizKT2OERERESMgaYLtzSVdaXujsu9i21vOazkk7Q78yvYDZXtpmplWf1qp/DcPdbvtP9XIUbJ04Xi0nqGUeSBNTzQ051tuAtxie7cKZX+tlP1wCxNWjWnpcYyIiIgYmd5EK3dKeg3N+XRtLCzehRwfsP2T3obt+yV9AKjScAReV/5dAXgBzQyaADsC5wHVGo5043h0IQPAJX3XpwDH2D63Utm3lH8fq1TePCMNx4iIiIiR2bfM3vlpmun+lwA+OY/mGC9JLkPYyiL0C9Qq3PZ7SrknA+v3zm2UtBJwRK0cRReOR6sZJH3T9hdtHynpZbZPrlV2j+0ja5c5r8hQ1YiIiIiYLZL2A1YDDi67PgT82/anK+e41vbz+rbHAVf374vRJ+lS25sNvF45wxts/+WZ3ieeblzbASIiIiLmJpLWkXSqpKvK9kaSvjyP5vgccDrwkXI5lWZWz9pOlXSipHdLejdwHHBKzQBdOB5dyNAB35K08MxulLQYsE/FPGNGehwjIiIiRkDSmcBewMG2Ny37rrK9wTyaYwGapTAMXG978iz+ZLRyvAnoLTx/lu0/Vy6/9ePRdgZJtwH70yzP8sly/Sk1JquR9BVgD2B+mjp5G/Aj4Ms053tOBb5ne9/RzjLW5BzHiIiIiJFZxPZFUv/ShUyZF3NIejFwJM2EJAJWkfQu22fVzFGcR/P8DVzUQvmtH48OZDgUWHyQ69XY/gbwDQA1L8SmwNnAprb/UTvPWJKGY0RERMTI3CtpLcpyA5J2Bu4c+k/GbI7vAy+3fX3JsA5wDLB5zRCS3gbsB5xB04A9UNJetv9QMUYXjkerGWx3aghombTpUkmfTaPxmctQ1YiIiIgRkLQmcAjN8g/3AzcDu9q+dV7L0b9e4FD7KuS4AniZ7bvL9vLAKbY3rpihC8ej9QwxdqXhGBERETEbJC0KjLM9aV7NIekXwDTg6LJrV2C87fdWzjHR9oZ92+OAK/r3VczSer3oQoa2SNrO9jlD3L4EsKrtqyrGGhMyVDUiIiJiBCTdCFxAc97U2cDV83COjwC7A58o22cDP20hxwmSTqQZJguwC/D3mgG6cDy6kKHkWMP2zbPaN0reIum7wAnABOAeYCHgucCONMvHVF0uZqxIj2NERETECEhaENga2B54Ic2MolfaftO8mKNkWQB4PnB7b7hoCxneDGxXNs9uYVbV1o9HFzKUHE9bw1HSBNtVzn2VtAzwFprXYCXgMeBa4LiheiNjaOlxjIiIiBiZqcDk8u804O5ymWdySPoZcKDtqyUtCZxfciwj6TO2jxn6EUbFeUx/LS5uofwu1ItWM0haj+YHhCVLQ75nCZpevyps/1fSKbYPHZBvjVoZxqL0OEZERESMgKRHgYk0a9SdYvu+eS2HpKttP79c3xN4se03SnoWcHxvDcGKed4PfBU4jWZW1RcBX7f9i4oZWq8XbWeQ9AbgjcDrgWP7bpoE/Mb2eRWztNrrORal4RgRERExAuXL8XbAVsCTND1dZ9k+dV7JIemyvgXmjwN+b/uIgbfVIul64AW9hpKkZYHzbK9bMUPr9aILGUqObW2fX7PMvrJ7vZ7fBfbqu2kJYK/eDx4xcmk4RkRERMyG8gX1VcCewAq2F55Xckg6nWYNx9uB04H1bP9H0nzAVbbXG+0MA/KcR9Pr+WTZXgA4w/YLauYoZbdeL9rOUJZD+QCwOn2nxtWYbbdLvZ5jTc5xjIiIiBgBSX8ENgZuBM4C3glcOI/l+BBwAPAsYE/b/yn7XwocVykDkj5Vrv4TuFDSXwADbwCurJWjZGm9XnQhQ/EXmlldT6E537Ia238B/tJmr+dYlR7HiIiIiGEq6wO+ADjfdtUvxINk2W5gDkkL2n6ixVhVSfraULfb3qdSjk7Ui67UCUmX296kZpmDZFgHOAhY0fYGkjYCXm973zZzzc3ScIyIiIgYgTbO4ZtJjsEm/3javlEq+2s0PXsP295/tMubG3ShXrRZJwaUuS/NOaZV19IckOFMmnMcD+47H/cq2xu0lWlul6GqERERESNzqqS3AH9yC7/Al5lLVwYWlrQpzSyi0Ez+sUilGLeUfx+rVN7coLV60ZE60W8P4IuSnqSZpEeAbS9RMcMiti+S1L9vSsXyx5w0HCMiIiJG5kPAp4Cpkh6j/pfiVwDvBp5Ds+xCzyTgizUC2D6yRjlzmTbrRet1op/txWuXOYh7Ja1F0zOOpJ2BO9uNNHfLUNWIiIiIuZCkt9j+Y9s52iZpPPAJ2z9oO0vbulIn1HTz7QqsYfsbklYBVrJ9UcUMawKH0Jx7ej9wM7Cb7VtqZRhr0nCMiIiIGIEufCkuORYE3sLTlzz4es0cXSDpIttbtZyh9XrRlToh6SBgGvAS28+TtDRwku0ta+YoWRYFxtmeVLvssWZc2wEiIiIi5jI/BbYF/rdsPwz8pIUcf6FZdmIK8EjfZV50rqQfS9pe0ma9S+UMXagXXakTW9veHXgcwPb9wAI1A0jaQ9ISwKPADyRdKunlNTOMNTnHMSIiImJktra9maTLoPlSXBacr+05tl/ZQrkzJemjwH3AH23XnIhkk/Jvf8+agZdUzNCFetGVOjG5DCHunV+4PE0PZE3vtf0jSa8AlgXeARwFnFQ5x5iRhmNERETEyHThSzHAeZI2tD2xhbJnRsB2NEM2X1+rUNs71iprCF2oF12pEwcAfwZWkPR/wM7Alytn6E2n+mrgl7av1oApVmNkco5jRERExAhI2hXYBdgMOJLypdj27yuVP5GmcTIfsDZwE/AE02fx3KhGji6RtCLwTeDZtl8laX1gW9uHVczQWr3oYp2QtB7w0pLhVNvXVi7/cJolStYANgbGA2fY3rxmjrEkDceIiIiIEWrzS7Gk1Ya63fatFTK8s1x9rFaDeSiSjgcOB75ke2NJ8wGX2d6wco5W6kUX6sRAZUKcVZhxkp5LK5Y/jmYI8022H5C0LLCy7StrZRhrMlQ1IiIiYhgkLdO3eTdwTP9ttv9bI0evETAgT0+tmSPXqFzerCxn+3eSvgBge4qkqTUK7kK96EideIqkb9CsK3kjZegulc85tT1N0l3A+uWHhHiG8iJGREREDM8Emi+/AlalWRtOwFLAv5jemKrlUpoenf4c/ylflj9ge8JoFWx7H4DSi9MFj5QsvfMLtwEerFR2l+pFa3VigLcBa9l+slJ5TyPpOzRDh68Bej8iGDirrUxzuzQcIyIiIobB9hoAkg4F/mz772X7VcAbW4h0MvAH2yeWHC+nWcPvcJqlIbaukOECSZeXMo93e+dAfRo4FlhL0rnA8jTnGI66jtWLLtQJgKtoGq13VypvMG8E1rX9RIsZxpSc4xgRERExApImDjx3brB9LeW40vZGki63vUmFDAJ2At4LbAn8DjjC9j9Gu+xBsswHrEvT03a97cmVy2+9XnShTpQyt6BZU/Iqmkl6ALBdbabdct7rW20/XKvMsS49jhEREREjc4ekLwNHl+1dgTtayHGnpM8BvynbuwB3lSUhqiwDUXoYTwZOlrQjzWvyUUlXAJ+3fX6NHJLOAc4EzgbOrd1oLLpQL1qvE8WRwHeAiZXL7fcocLmkU5mx8fqJlvLM9dLjGBERETECZQKSrwE7lF1nAfvUmhynL8dyJcd2Zde5wD405/atavufFTIsC+xGs7j6XcBhNENGNwF+3xvGWSHHGsD25bINTUPhbNufrFF+ydB6vehCnSg5Lra9ZY2yhsjwrsH22z6ydpaxIg3HiIiIiJgtkv4BHAUcbvu2Abd9zvZ3KmZZCXgRTeNxR+Bftl9Zq/yYTtL+NI33Y5mxt6/achwlx8I0Debra5Y7VqXhGBERETECktYBPgOszoxr1FVZakDSD23vKemvTF/q4CmVzyNTixPi9Oe4EbgX+DXNcNXLbVcdItlmvehSnSh5Th9kt2u9R0qG1wHfAxawvYakTYCv134txpI0HCMiIiJGoJy/9zOaZRieWiuw1lIHkja3PUHSiwa73faZFTIM2kDpy1C7obIHzfDMVYDraM53PMv2jRUztFYvulAn+rKMBz5h+we1ypxJjgk060aeYXvTsu8q2xu0mWtuloZjRERExAhImmB787ZztKmvgfJm4FlMnxDm7cBdNc8tHJBrMeA9ND1/z7E9vmLZ83y96JF0ke2tWs5wge1tJF3W13C80vZGbeaam6XhGBERETECkvamWZ/uz8x4/laVSVDKMMCZfYGz7ZfWyFGyXGJ7i1ntq5Dj+zQ9josB59MMVz3b9k0VM+xNS/WiS3Wi5PkBMD/wW+CRviDVznGUdBhwKvB5mrUsPwHMb/vDtTKMNWk4RkRERIyApJsH2W3ba1Yqf7BerW2AzwJ315zNUtK1wGt6DbQyu+nfbT+vVoZS7s40DcW7apY7IENr9aJLdaLk6cI5josAXwJeXnadCOxr+/FaGcaaNBwjIiIi5lJlyOhXgIWA/7N9fOXyXwkcAtwECFgN+KDtk2rmKFlez/SlMM60/dfaGbqg7TrRFZK2B86zPbVv32a1Z3YdS9JwjIiIiBgGSW8esMs0M3lebntS5SyvAL5MMyTy/2wP1sNTK8uCwHpl8zrbTwx1/1HK8C1gK+BXZdfbgYttf7FC2Z2oF12qEyXPa4Dn0zRgAbD99YrlPwpcDLzV9t1l36W2N6uVYayZb9Z3iYiIiAjgdYPsWwbYSNL7bJ9WI4Ski4Hlgf1ozudD0lNfhiufRzY/8CGm9/SdIelg25NrZSheA2zSW4JD0pHAZcCoNxzpQL3oUp0oZf8MWIRmPc2fAzsDF9XMAFxP83qcWY7DeTS94jGb0uMYERER8QxIWg34ne2tK5V3BtMnQjEzfhmufR7Zz2kmQTmy7HoHMNX2+2tlKDmuBF7cm4hG0jI0yzC0NoNmzXrRpTpR8lxpe6O+fxcDjre9fcUMl9reTNLaNJP0/AJ4b3ocZ196HCMiIiKeAdu3lp63WuW9uFZZw7Cl7Y37tk8r6xnW9i3gsjIpi2h6QD/fQo6n1KwXHasTAI+Vfx+V9GzgPmClyhkEYPsGSTvQNByzFMczkIZjRERExDMgaV36ll+oUF5vWOiTti+oVe5MTJW0lu0bASStCUydxd/McbaPKb1uvdlDP0czUU9rataLjtUJgL9JWopmqOilNL2gh9YM0Fu7sVx/GHibpFVrZhhrMlQ1IiIiYhgk/ZWnr5W3DE1Pym62z6+U4/By9QHbn6xR5hBZXgoczoyzqr6n7YlZACT9y/aoNxS6UC+6VCcGKpMnLWT7wcrlPgc4kGZ9T9Os7bmH7dtq5hhL0nCMiIiIGIayzEE/0wzBu8H2ky1E6oTSMFi3bF7fxqyqg5H0b9urVCgn9aKQtASwou0byvZbgYXLzSfWXGdT0snAr4Gjyq7dgF1tv6xWhrEmDceIiIiImC2SFgI+yoy9Oj/rwiLrtXocYzpJh9CsnXhE2f4ncDxN43GK7Q9XzHK57U1mtS+GL+c4RkRERAyDpJtpGkf31JpBdS7wS2ASzZBAgP+l6eF5a43CZzJMFJphs8tWypB6Md2WNMuz9Eyy/XEASedUznKfpN2AY8r222l6gmM2pccxIiIiImaLpGtsrz+rfaNY/sBhojOwfWaNHNGQNNH2hn3bG9i+qly/yvYGFbOsRvODxrY0DfvzgE/Y/letDGNNehwjIiIixgBJWwB32L6jYrGXStqmN5OnpK2BS2oVnobh0FqoE9MkPcv2fwD6Go0rA9MqZUDSeOCbtl9fq8x5QRqOEREREWPDx4GNJP3D9i6jWZCkiTS9OPMD50n6V9leDbhuNMuOEalWJ4r9gL9K+jRwWdm3GfC9clsVtqdKWk3SAvPaBEWjKUNVIyIiIsYQSYvbnjTKZQy5RqLtW0ez/BiZGnWir6xXAl8Enk/zY8LVwLdtH1+j/L4cvwSeBxwLPNLbb3v/mjnGkjQcIyIiIuYifYuYT7V9e6thOkLSW23/flb7xqrUiaeT9LXB9tvep3aWsSINx4iIiIhnQNIpwGTgJ7b/VqG808vV+2zvPNrlzQ0kXWp7s1ntq5ypWr3oSp0ojTUDD7fVsyfpKNvvkLSH7R+1kWGsyjmOEREREc/MO4GVgG1qFGZ7xxrlzA0kvQp4NbCypAP6bloCmNJOqqdUqxcdqhO3lH8fazHD5pKeDby3DFdV/422/9tOrLlfehwjIiIi5kKS3gqcYHuSpC/TTEKyr+1LW45WjaSNgU2ArwNf7btpEnC67fvbyNWW1AmQ9AngI8CawO3M2HC07TVbCTYGpOEYERERMQxlOKCB/3ZhiKikK21vJGk7YF+aWSu/WmMRekmTaF6Lp91E8+V8idHOMCDP/LYn1yyzr+zO1Is260TXSDrI9kfazjGWpOEYERERMQx9M4lOtX1bq2EASZfZ3lTSt4CJtn/d29d2ttokvRDYm2Y5kPmY3oAd9d6lLtWL1IkYTWk4RkRERIyApEWBx2xPk7QOsB5wfO0eL0l/oxmK9zKaIYmPARfZ3rhC2csMdXvt88gkXQd8EpgATO3LcV/FDK3XizbrRIx9aThGREREjICkCcD2wNLAucDFwJO2d62cYxHglTQ9SzdIWgnY0PZJFcq+mWZ4pga5ufp5ZJIubHs4ZhfqRZt1Yha5PgrcB/zRdtuTFsVsyqyqERERESMj249Keh/wU9vflXR57RAlw93AdsANNLOI3lCp7DVqlDMCp0vaD/gT8ERvZ+VJYVqvF23WiVkQTaZdgde3nCVmUxqOERERESMjSdvSfAl+X9k3voUQXwO2ANYFDgfmB44GXlgxww6D7bd9Vq0MRa+3cYv+GMBLKmZovV50oU4MxvZP2iw/5ow0HCMiIiJGZg/gC8CfbV8taU3g9Fn8zWh4E7ApcCmA7TskLV45w1591xcCtqI5z7Bmg60r6xh2oV60WickvbNcfcz272uVG3Wk4RgRERExMivafmq4ne2bJJ3dQo4nbVuS4anJWaqy/br+bUmrAD+snUPSisA3gWfbfpWk9YFtbR9WMUYX6kXbdaI3hHlS5XKjgnFtB4iIiIiYy3xhmPtG2+8kHQwsJekDwCnAoS3k6Hcb8LwWyj0COBF4dtn+B7Bn5QxdqBet1gnb+9jeBziyVplRT3ocIyIiIoZB0quAVwMrSzqg76YlaCYhqcr29yS9DHiI5py2r9o+uWYGSQfSnEsITYfEJpRhkpUtZ/t3kr4AYHuKpKmz+qM5oUv1ogt1origTAx0OM2SJFnGYQxIwzEiIiJieO4ALqGZFXJC3/5JNGsIVlcaBW00DHou6bs+BTjG9rkt5HhE0rKURqykbYAHK5XdqXrRgToBsA6wE/Be4ABJvwOOsP2PdmPFM5F1HCMiIiJGQNL8NRd1H6T8c2xvJ2kS03v7oFnywLaXqJDhm7a/WK6/rKVerf48mwEHAhsAVwHLAzvbvrJihtbqRRfqxMxI2pFmZtdFgSuAz9s+v608MfvScIyIiIgYAUkvBPYGVqMZvdX7cl510fs2SbrU9mYDr7ecaT6a4ZkCrq/diEu9mK70/u4GvAO4CzgMOJZmKPPvO7gOaAxDhqpGREREjMxhNEMQJwBVzqMbSNJ44Grb67VRfteU1+PVwOo0329fLgnb+1eM0Wq96FidOB84Cnij7dv69l8i6WctZYpnKA3HiIiIiJF50PbxbQawPVXS9ZJWtf2vFiKsIOlTNL1qvev9+Wo22AD+CjwOTASmVS67p9V60YE60W/dmU2IY/s7tcPEnJGhqhERERHDUM6jA3gbMB74E/BE73bbVWcTlXQWzWLvFwGP9OV4/Uz/aM6V/bWhbi9LMlQj6UrbG9Uss6/sztSLNutEKf+vzHiO5Qxq5YjRkYZjRERExDBIOn2Im237JdXCAJJeNJMgZ9bM0QWSvgOcavukFsruTL1ou070lf9m4Fk0k+IAvB24y3Yrsw/HnJGGY0RERMRcStKKwJZl8yLbd7eZpy2S3kTTSBkHTKYDs4m2pQt1QtIltreY1b6Yu+Qcx4iIiIgRGHg+X/EgMMH25RVzvA3YDziDpqF0oKS9bP+hVoYO2R/YFpjY1mLzXagXHaoTi0pa0/ZNJdcaNMtxxFwsPY4RERERIyDp18AWNBOyALwWuJJmRs/f2/5upRxXAC/r9ShJWh44xfbGNcovZa5h++ZZ7auQ4yzgxbbbmhinE/WiC3WilPtK4BDgJpoG7GrAB9sYShxzThqOERERESNQGimvtv1w2V4MOA54JU3v0vqVcky0vWHf9jjgiv59FTI8bQ1HSRNsb14rQynzCGBN4HhmnJim2uyuXagXXagTfWUvCPSWBrnO9hND3T+6L0NVIyIiIkZmBfoaJzTn1K1o+zFJNb8cnyDpROCYsr0L8PcaBUtaD3g+sKSkN/fdtASwUI0MA9xcLguUSxu6UC9aqxP9JM0PfAjYoew6Q9LBtifXzhJzThqOERERESPzK+BCSX8p268Dfi1pUeCaWiFs71UabduVXYfY/nOl4telGYq5FM3z75kEfKBSBuCphe/Xsb1rzXIH0Xq9aLlO9DsImB/4adl+R9n3/hayxBySoaoRERERIyRpC+CFZfNc25e0kGFR4PGy8Pu6NI2542v26kja1vb5tcobIsc5wEtsP9lyjlbrRRfqRMlxxcDzKgfbF3OXNBwjIiIihkHSErYfkrTMYLfb/m/lPBOA7YGlgXOAS4Ana/a8lclXPkAzAcxTI9lsv7dWhpLjl8DzgGOZceH7UT/HsUv1ogt1ouS4FHir7RvL9prAHwaeDxtzlwxVjYiIiBieX9MMz5wA9P/yrrK9ZuU8sv2opPcBB9n+rqTLK2f4C3A2cAowtXLZ/W4sl3HA4pXL7lK96EKdANgLOF1S/6yq72khR8xBaThGREREDM/hALbXaDtIIUnbArsC7yv7xlfOsIjtz1Uu82ls79Ni8V2qF12oE9g+VdLaNENlAa7PrKpzvzQcIyIiIobnS8Af2w7RZ0/gC8CfbV9dhgOeXjnD3yS92nb1mTv7lSGzn6WZ6fWpWV1tv6RC8V2qF3vSfp1A0kLAR2km6TFwtqSf2X68dpaYc3KOY0RERMQwDLZmYVeU9foWs/1Q5XInAYsCT5aLANteonKOk4DfAp8BPgy8C7inRm9oV+tFW3WilP07mhl2jy67/hdYyvZba2eJOScNx4iIiIhhkPQo8M/BbqJpLG1UOc+vaRpJU4GLadZQ/JHt/Wrm6AJJE2xvLunK3nGQdLHtLSuU3Zl60ZU6Ieka2+vPal/MXTJUNSIiImJ4bmbGNQvbtn6ZzXNX4Hjg8zQTtFRrJEgSzfl0a9j+hqRVgJVsX1QrQ9FbbuJOSa8B7gAGneV0FHSpXrReJ4pLJW1j+wIASVvTzPAac7E0HCMiIiKG50nbt7Ydos/8kuYH3gj82PZkSbWHkv0UmAa8BPgG8DDwE2DUe/oG2FfSksCngQNpeto+WansLtWLVuuEpIk05zTOD5wn6V9lezXgulo5YnSk4RgRERExPOe2HWCAg4FbgCuAsyStBtQ+n21r25tJugzA9v2SFqicAdt/K1cfBHasXHyX6kXbdeK1FcuKynKOY0RERMQYIWk+21Mqlnch8ALg4tKAXB44yfamlcp/PrCW7WPL9g+AJcvNP7Z9aY0cXVa7TsTYNa7tABERERExcpJWlHSYpOPL9vo0s4nWdADwZ2AFSf8HnAN8s2L53wbu7dt+BXAczRIUX62YoxM6UidijEqPY0RERMRcqDQODge+ZHtjSfMBl9nesHKO9YCX0swieqrtayuWfYntLfq2L7C9Tbl+ju3tamXpgq7UiRib0uMYERERMRskfVTSyuX6ni1EWM7272gmp6EMR5zaQo67gLOB84CFJdVc03Dx/o1eo7FYoWKOp7RcL1qvE5LGSzq9ZplRRybHiYiIiJg9iwC/lPQEMB74YeXyH5G0LM2slUjahmZymGokfQN4N3BjL0f59yWVItwhaWvbFw7ItQ3NkhxtaLNetF4nbE+VNE3Skrarlh2jKw3HiIiIiGGQ9AaaSWB6DZLvA8+lGaZZe508gE8BxwJrSToXWB7YuXKGt9FMTvNk5XJ7Pgf8VtIRQG8inM1pzuvbpUaAjtWLLtQJaJZlmSjpZOCR3k7bn2ghS8whOccxIiIiYhgkXQlsYntaWSvvGOB2msbLGQOGSdbKNB+wLs35hdfbnly5/D8CH7F9d81yB2RYEdgdeH7ZdTXwE9t3VSq/U/Wi7TpRMgw6IY/tI2tniTknDceIiIiIYZB0LU3jZHHgT8Bptv+v3HaF7Y0r59kd+JXtB8r20sDbbf+0YoYtgL8AVwFP9Pbbfn2tDG3rUr3oQp3oy7IwsKrt62uXHaMjk+NEREREDM9vgevKZVngTDXeCbTR4/aBXgMBwPb9wAcqZzgS+A7Nshjf77tUIel0SadJ+kOtMgfRpXrRhTqBpNcBlwMnlO1NJB1bO0fMWelxjIiIiBgmSc8BptD0rh0G7ARcAbzT9s2Vs0wENnL5MidpPHCl7ecP/ZdzNMPFtresVd4g5a9Wrk61fVuLOTpRL7pQJ0q5E2gmSDrD9qZl31W2N6iZI+asTI4TERERMUwDGidvbi1I4wSaiWEOLtsfKvtqOlvSt2gmZOkfqnrpzP9kzrF9a41yZqVD9aILdQJgsu0HJfXvm9ZCjpiD0uMYERERMReSNA74IE3vFsDJwM9tV1u3bybr9dl2reU4ok8X6kTJcRhwKvB54C3AJ4D5bX+4Zo6Ys9JwjIiIiJgLSVoUeLzXKCjDEhe0/Wil8scDn7D9gxrlxay1XSf6ciwCfAl4Oc3sricC37D9eM0cMWel4RgRERExF5J0AbCT7YfL9mLASbZfUDHDRba3qlVeDK0LdWJAniVoeqAntVF+zFmZVTUiIiJiBCS9VdLi5fqXJf1J0mYtRFmo10AAKNcXqZzhXEk/lrS9pM16l8oZnkbSkZIOklRtMpaO1Isu1AkkbVkm6rkSmCjpCkmb184Rc1YajhEREREj8xXbkyRtR3Mu2WHAQS3keKS/YVK+mD9WOcMmNGsYfp3pS3F8r3KGwfwYOAV4R8Uyu1AvulAnoHnuH7W9uu3Vgd2Bw1vIEXNQhqpGREREjICky2xvWmYTnWj71719lXNsCfwGuIPmPLJnAbvYnlAzRzS6UC+6UicGe96SLrXdem90zL40HCMiIiJGQNLfgNuBlwGb0fToXGR74xayzA+sWzavB5axfVflDK+h6XVcqLfP9tcrlX04YOBB25+sUeYQWTpRLzpSJ34ILAwcQ3N8dgEeB46Gesu1xJyVhmNERETECJQZI19J06t0g6SVgA1tn9RSnqVoljz4X+B5tp9dseyf0ZxDtyPwc2BnmsbS+yqV/6Jy9QnbF9Qoc4gsnakXbdaJUv5gy7T0ZLmWuVQajhEREREjIOl9tg8bsO/btj9fMcPCwBtoGgabAosDbwTOsl1toXVJV9reqO/fxYDjbW9fMcN44Je2d61V5kxytFovulInYuzK5DgRERERI/MWSU81UiT9BFi+VuGSfg38g2ZI5IHA6sD9ts9ooYHQm3jlUUnPBiYDK9UMUNYsXE3SAjXLHURr9aJjdQJJy0o6QNKlkiZI+pGkZWvniDlrvrYDRERERMxl3gIcK2kazdDEB2oNzSzWB+4HrgWutT1VUltDyP5WhkXuB1xKcz7boS3kuIlmaZBjgUd6O23vXzFDm/WiS3UCmgl6zqJ5TQB2BX5LM9tszKUyVDUiIiJiGCQt07e5OPD/gHOBrwLY/m/FLOsBb6eZdORemslQNqg9CcqATAvSrCP4YAtlf22w/bb3qVB2J+pFl+qEpKtsbzBg30TbG9bOEnNOGo4RERERwyDpZpoeNfX922Pba7aUa3OaBsPbgNtsv6BCmUsAK9q+oWy/lWYWTYAT22zA1tbFetFGnRhQ/v7ARcDvyq6dga1sf6Zmjpiz0nCMiIiIGAMkCdje9lkVyjoEOM/2EWX7n8DxNI3HKbY/PNoZBuRZHvgsT18WZJ6evbNmnRhQ7iRgUWAqTUN6HNOHENv2EjXzxJyRyXEiIiIiRkDS7uW8vt720pI+WrH8r0n6qqRP9e93o1YDYUvgyL7tSbY/bvv9wAYz+ZvR9CvgOmANYB/gFuDimgHarBcdqRP95S5ue5zt+W3PV64vXi5pNM6l0nCMiIiIGJkP2H6gt2H7fuADFcu/BbgVuK1imQPN5xmHrb2j7/pSlbMALFuWwphs+0zb7wVq9za2WS9uof06gaTNBlw2lbRKm5lizsmsqhEREREjM16Seg2nso5gtaUgbB8563uNummSnmX7PwC2rwKQtDLQxpqBk8u/d0p6DXAHsMwQ9x8NrdWLjtQJgO8Psm+ZslTK221fXjlPzEFpOEZERESMzAnAbyUdXLY/VPZVIekNtv/yTO/zDO0H/FXSp4HLyr7NgO+V22rbV9KSwKdp1jFcAvhk5Qyt1YuO1Als7ziTsrcADgB2GM3yY3RlcpyIiIiIEZA0jqZR8NKy62Tg52Uh+hrlXwNsbvuxmdy+GHCO7U1GOccrgS/STEhj4Grg27aPH81yu6rNetGVOjEUSZfa3qyt8uOZS49jRERExAjYnibpMOAcmgbT9bUajcUxwL8lzV/Kvw34EfBlmuGZU2l6/kaV7ROo2NM6FEnrAAfRLBGygaSNgNfb3rdWhpbrRSfqxMxIWrHkirlYehwjIiIiRkDSi2lmFL2FZqmBVYB3tTF7ZVluYVPgbGBT2/+oVO7XaBoCD9vev0aZs8hzJrAXcLDtTcu+py1CP8oZXkwH6kVbdaKUfSBPbyAuA7wA2MP2X2tliTkvPY4RERERI/N94OW2r4eneruOATavHaRMxHKppM/WbCDQNI4ABh0a2YJFbF/UtJmeMqVyhk7UixbrBMAlA+MA9wGfsn135Swxh6XhGBERETEy8/caBwC2/1GGCLbG9k8ql9eVWTx77pW0FqW3S9LOwJ2VM3SqXtSuE6XMrtWLmIOyjmNERETEyFwi6eeSXlwuh/L0npZRI2m7Wdy+hKRRHaIp6Q1z4j5z0O7AwcB6km4H9gQ+XLF8aLFedKFOxNiXcxwjIiIiRkDSgjQNld6X9bOBn9p+olL5PwC2ppmYZgJwD7AQ8FxgR2A14NO2Lx7FDJ2cxVPSosA425NqllvKbq1edKFOxNiXhmNERETEbCiLmj8fuL32+VuSlgHeArwQWInmXMNrgeNsn1Oh/K8AewBDzuJZa1ZTSTcCF9A01s62fXWNcmeSpZV60XadGJDlrbZ/P6t9MXdJwzEiIiJiGCT9DDjQ9tVlsfnzaRpIywCfsX1M5Txr2L55Vvsq5GhtFs++DAvS9LhtT9NwWhe40vabKpTdmXrRoTrxtDUbs47j3C/nOEZEREQMz/Z9PVnvAf5he0OaWTM/20KePw6y7w+1Q7hxKdDGLJ49U4HJ5d9pwN3lUkOX6kWrdULSq8qSHCtLOqDvcgT1Z7mNOSyzqkZEREQMz5N9118G/B7A9n8GLAMxqiStRzMUcklJb+67aQma89pa0cYsnn0eAiYC+wOH2r6vYtmt14sO1Yk7aCYEej3NuZY9k4BPVswRoyANx4iIiIjheUDSa4HbaYZDvg9A0nzAwhVzrAu8FlgKeF3f/knAB2oEkLTdUOfNSVoCWNX2VTXyAG+nmZTmo8D7JZ0HnGX71Apld6FetF4nAGxfAVwh6de2J9cqN+rIOY4RERERw1AWdD8AeBbwQ9tHlP2voFn4/dOV82xr+/yaZfaV3clZPEvP26toluNYwfaoN9y6VC/arBMDcrwQ2JumHswHiGZU85pt5opnJg3HiIiIiLlQabAcBKxoewNJGwGvrziTaZdm8fwjsDFwI3AWcA5woe3Ha+ZoW9t1oi/HdTRDUyfQnHcKQOUhxDGHpeEYERERMQySvkaz9MTDtvfvQJ4zgb2Ag21vWvZdZbvaQu8dmsVzO+B821P79i1YaQ3FztSLLtSJUuaFtreuWWaMvsyqGhERETE8twC30qxZ2AWL2L5owL7aM1d2YmZX4ID+RmNRa8jmLXSnXnShTgCcLmk/SdtK2qx3aSFHzEGZHCciIiJiGGwf2XaGAe6VtBZNbxeSdgburFFwV2bxlPQsYGVgYUmb0pxL18uxSI0MHasXrdWJAXq9jVv07TPwkhayxByShmNERETE3Gl34BBgPUm3AzcDu1UquxOzeAKvAN4NPIdmKY7+HF+smKMr2qwTT7G9Y+0yY/TlHMeIiIiIuZikRYFxtie1UHZXZvF8i+3Bhs3Ok9qsE6X8FYFvAs+2/SpJ6wPb2j6sjTwxZ+Qcx4iIiIi5kKQ9ynqJjwI/kHSppJdXjnGfpFMlXVUybSTpy5UzAPxN0v9K+qKkr/YuLeRoVUfqBMARwInAs8v2P2iWSIm5WBqOEREREc+ApI9K2qUs+F7Te20/BLwcWBZ4B/DtyhkOBb4ATAawfSXwP5UzAPwFeAPNRDCP9F1a01K96EKdAFjO9u+AaQC2p9C3LEfMnXKOY0RERMQzI2A7YFfg9ZXLBXg18EvbV0vSUH8wChaxfdGAYtuYxfM5tl/ZQrlDaaNedKFOADwiaVmmT9KzDfBgCzliDkrDMSIiIuIZsP2TloqeIOkkYA3gC5IWp/TwVNSVWTzPk7Sh7YktlD2olupFF+oEwKeAY4G1JJ0LLA/s3EKOmIMyOU5ERETEMEh6Z7n6mO3ftxoGkDQO2AS4yfYDpYdn5TJctFaGNWlm8XwBcD9lFk/bt1QqfyJNo3U+YG3gJuAJmp43296oQobO1Isu1Im+LPPRzL4r4Hrbk2tniDkrPY4RERERw7NG+beVmSoHsj1N0l3A+i2cX9nLcBOwU4uzeL62cnmD6Uy96EKdAJA0nma47Oo07Y2XS8L2/kP+YXRaehwjIiIiRkDSsrbv60CO7wC7ANcwfeIR2652nqWkPYDDaRpNhwKbAZ+3fVKtDCXHMoPsnlSzl6sL9aILdaLk+DvwODCRvqGytvepmSPmrDQcIyIiIkZA0g3A5TQNpuPd0pcpSdcDG9l+oo3yS4YrbG8s6RXAh4EvA0fZ3qxyjluAVWiGywpYCvgPcBfwAdsTKmRovV50oU6UHFfWGCYcdWU5joiIiIiRWYfmvL53ADdI+qakdVrIcRMwfwvl9nvaLJ59+2o6GXi17eVsLwu8Cvgb8FHgp5UydKFedKFOABzf0vqRMYrS4xgRERExmyTtCBwNLApcQTNM8/xKZf8R2Bg4lWZCGABsf6JG+SXD/2/vzqMlLcuz7R9ntyAytKjBWSajICg0gwOCOBMTBY3iwGCcPqN+fqAmGmNC4uzrFH0dEjUYUTDiEN8kiEFUHJg0CE2LgKKvgEo0oijIYASa6/ujnk1XN013F/X0c9fuffzW2quq7tq766T35Vp9eU/HAPditM9vd2Ax8LWq2muoDF2O71TVg1YbO6+qdkuyvKqWDpynSV3MQk10Of6Y0X//IkZ3fM4dVrRkyBzql4fjSJIkTaA7qfJwRjNLPweOYHT1wFLgM6w8LGVDO6H7aukFrDzF87ru7+Z5DXL8LMmrgU92r58J/Lw7pGWQ6yhmpC5moSYA3gXsA3yn1VJu9c/GUZIkaTLfAI4DnlJVl42Nn53kg0OFqKqPJbkDsG1VXTTU566WYSZO8QQOBV4L/Fv3+oxubDHwjIEyNK+LWaiJzk+A820aNy4uVZUkSZpAkszCP4iTHAi8E9i0qnZIshR4w8Cnqs7EKZ6zYBbqYhZqosvxUWBH4CRWXTLrdRzzmDOOkiRJ6yHJ5xhd/seoJgAAKWRJREFUNk9yy/NfGjRLrwMeAnyt+/zlSXYcOMNTgJ1aneKZ5H9X1cvHfzfjhvidzFhdvI72NQFwSfe1afeljYCNoyRJ0vp5Z/f4VODujA7/ADiE0Z62od1QVVet1qwMsp9vzNwpnq2ufziue3znWr9rw5qlumheE92+0vtX1WFDfq42PBtHSZKk9VBVXwdI8ndVtffYW59LcnaDSBckORRYnOR+wJHAmQNnuA5YnqTJKZ5z9zPO/W5amLG6aF4TVbUiyXZJNq2q64f8bG1YNo6SJEmT2SLJjlV1MUCSHRhduzC0I4C/ZtSwfQI4GXjTwBmanuKZ5KusYYlqp6rqsQPGmYW6mIWagNFM9BlJTgCunRt0j+P85uE4kiRJE0jyBEYXvV/M6H667YA/raovDpzjEcCZVbVibGzPqlo2cI5mp3gmWdN9kQ8D/gK4vKoePGCW5nUxQzXx2jWNV9Xrh8yhftk4SpIkTSjJ7YGdu5ffa3E4TJLrgG8BT6+qy7uxZVW154AZZuIUzy7LI4G/ATYD3lxVJzXI0LQuZqEmtPFyqaokSdIEkmwCvAjYvxv6WpIPVdUNA0e5CHgH8PUkL6iqMxnNdA3pdTQ+xTPJHwBHMVqe+eaq+uqQnz+WYxbqYhZqgiTbMJr13ZVRIw9AVT1m6Czqj42jJEnSZD7A6CTRf+heP7sb+38GzlFVdWKSi4BPJfkIt77fb0Npeopnkm8B2zBqlr7Rjd08uzbwEs1ZqItZqAmAfwY+BTwJeDHwHOAXDXKoRzaOkiRJk3lwVe0+9vorSb7dIEcAquoHSfYHPgLsNnCG1qd4XgtcAxwMPI1VZ9cKGHKGaxbqYhZqAuAuVfVPSV7WnTr79a7J1zxm4yhJkjSZFUnuW1U/BOiWZq5Yx8/0rqr2GHt+DfCMJNsOHKPpKZ5V9aihPms9NK+LGakJgLnluT9L8kTgp8CdG+RQjzwcR5IkaQJJHgscw6qnZz5v6L11Se4NvA/Yj9Hs2mnAy6rqsgEzND3Fs5tVA7i+qr45xGeuJUvzupiFmuhyPKn77Pt0eZYAr6+qZle3aHo2jpIkSRPqTs/cqXt5UaNTVb/EaJbvuG7ocOCwqnr8gBmanuKZ5Jju6ZVV9YohPnNtWtfFLNSENl42jpIkSRNIshnw/7LqrM4Hq+p/Bs6xvKqWrmtsA2c4l9EVGO8AXlBVZyY5d3zJ5EIxC3XRuiaS7Arcd25mMcm7gTt2b79/6Psk1a9FrQNIkiTNM8cyumbgfcD7u+fHrfUnNowrkhyeZHH3dThwxcAZqqpOBA4C3p/k/6PNKZ6zYBbqonVNvBX45djrPwA+D3wV+NsBc2gDcMZRkiRpAkkurKpd1jU2QI7tGDUp+zBq1s4EjqyqHw+Y4ebZxSRbMjrF86lVteAOYJyFumhdE0nOrqq9x15/s6oe1j0/var2GyKHNowF9z9qSZKkKS1L8rC5w1iSPBQ4e8gASRYDb6mqg4b83NXN0Cmes6BpXcxITWw1/mKuaezcdeAs6pmNoyRJ0npI8h1GszibAGcm+XH3ejvge0NmqaoVSbZLsmlVXT/kZ4+7tVM8W+WZk2Rv4KdV9dMBPmsm6mJGauKnSR5aVf85PpjkYYyu5NA8ZuMoSZK0fp7UOsBqLgbOSHICcO3cYFW9a8AMxzA6xfPp3evDu7HWp3geAeyW5PtV9cwN/FmzVBeta+LVwKeSfBSYOwhnL+A5wIb+PWgDc4+jJEnSPJTktWsar6rXD5ih+cmua5Nkq6q6unWOocxITdwNeCmjw4EALgD+vqp+PlQGbRjOOEqSJM0jSY6rqmczurvwPY3jXNGd3Hl89/oQBjzFc2w/5Yqq+q/V318oTeMs1UTXIHqC6kbIGUdJkqR5JMmFwOOAk4BHARl/v6p+NWCW1qd4frV7ekVVHTzEZ86iWamJ7vdRwK8W8u9jY2XjKEmSNI8kORJ4CbAj8F+s2iRUVe04UI7FwLFVddgQn6dbN0M1sV33dEVVXTbEZ2o4No6SJEnrIcnVrPly+zD6x/mSgfN8oKpeMuRnriHD6cBjWp7s2uV4OvCFqro6yVHAnsCbqmrZOn60j8+embqYhZrQxsvGUZIkSbdJkmOBBwAtT3YlyXlVtVuS/YA3Ae8A/raqHjpkDmlj5uE4kiRJ6yHJndf2/pB7C2fID7uvRax2+fvAVnSPTwT+sao+n+RNQ3ywdaGFwsZRkiRp/ZzDaEli1vBeMdpftiDM0imenf9K8iFG90e+LcntGTWzQ7AutCC4VFWSJEkTmZVTPMfybA48AfhOVf0gyT2AB1XVF4fMoTVL8jHgOkb3OZ7fOo9uG2ccJUmSJpBk/zWNV9WpQ2dp6IPAKYxm085htVM8GXiWraquS3I5sB/wA+DG7nEw1sVavR/YFng28OrGWXQbOeMoSZI0gSSfG3u5GfAQ4JyqekyjSM3MyimeSV4L7A3sVFX3T3JP4DNVte+AGawLbdRsHCVJkqaQ5D7A/66qp7XOslAlWQ7sASyrqj26sfOqareGmRZcXSQ5htGM81VV9YrWedQvl6pKkiRN5zJGV1KoneurqpIUQJItWgdiYdbFR7vHpvd6asOwcZQkSZpAkvex8sL3RcBSYINfNK+1+nR3qurWSV4IPB84esgA1gVU1dcBkhyYZFFV3dQ6k/rjUlVJkqQJJHnO2MsbgUur6oxWeTSS5PHAAYwO6jm5qr408OdbF50kHwf2AT4LfKSqvtc4knpg4yhJkrQekrylqv6qe/74oRsTzSbrYs2SLAEOAZ7HaCb2GOD4qrq6aTDdZkNdjCpJkjTfPWHs+duapdDNkpzePV6d5DdjX1cn+c1AMayLNaiq3wD/AnwSuAfwx8CyJEc0DabbzD2OkiRJmpeqar/ucavWWbRSkoMYzTT+PnAs8JCqujzJ5sCFwPta5tNtY+MoSZK0fu6a5M8Y7aGbe36zqnpXm1gLW5LFwAVVtXOjCNbFLT0NeHdVnTo+WFXXJXlBo0yako2jJEnS+jka2GoNz9VQVa1IclGSbavqxw0iWBerqarnrOW9U4bMov54OI4kSZLmtSSnAnsAZwHXzo1X1UHNQi1ASa5m5ZUkt1BVSwaMo5454yhJkqT57m9aB9DKvaZJ3gj8DDiO0RLewxgdkKN5zBlHSZIkzXtJ7gY8uHt5VlVd3jLPQpbk21W1+7rGNL94HYckSdIEkuywPmMaTpJnMFqm+nTgGcB/Jjl44AzWxUrXJjksyeIki5IcxtgSYs1PzjhKkiRNIMmyqtpztbFzqmqvVpkWuiTfBh4/N8uYZBvgy0POcFkXKyXZHngPsG83dDrw8qq6tFUmTc89jpIkSeshyc7ArsAdkzx17K0lwGZtUqmzaLWlqVcw0Mo66+KWugbxya1zqF82jpIkSetnJ+BJwNbAgWPjVwMvbBFIN/tCkpOB47vXzwT+Y6DPti5Wk+TewPtYOeN4GvCyqrqsXSpNy6WqkiRJE0iyT1V9o3UOraqb7duve3laVf3rwJ9vXXSSfAn4BKNTVQEOBw6rqse3S6Vp2ThKkiRNoNs/90Jge8ZWb1XV81tlWuiSbAH8T1WtSLITo1nAk6rqhgEzWBedJMuraum6xjS/uFRVkiRpMv/OaOndl4EVjbNo5FTgEUnuBHwBOJvRctXDBsxgXax0RZLDWbl0+BBG+041jznjKEmSNAFnTmbP3ImmSY4A7lBVbx/692RdrJRkO0Z7HPfphs4AjqyqH7dLpWl5j6MkSdJkTkzyR61DaBVJsg+jGcbPd2OLB85gXXSq6kdVdVBVbdN9PcWmcf5zxlGSJGkCSa4GtgCu774CVFUtaRpsAUvySODPgTOq6m1JdmR0b+CRA2awLjrd3/97gIcBBXwDeEVVXdw0mKZi4yhJkqSNRpJFwJZV9ZvWWRaqJN8E/p6VexyfBRxRVQ9tl0rTcqmqJEnSBDJyeJK/6V7fJ8lDWudayJJ8IsmS7nTV84ELk7xq4AzWxUqbV9VxVXVj9/VxYLPWoTQdG0dJkqTJ/AOjQz8O7V5fw2h2Re3s0s0wPgU4CdgBePbAGRZ8XSS5c5I7Aycl+csk2yfZLslfAP/ROp+m43UckiRJk3lod4LnuQBV9eskm7YOtcBtkmQTRo3j+6vqhiRD78eyLuAcRnsa071+0dh7Bbxm8ETqjY2jJEnSZG5IspjRP4TnLn6/qW2kBe9DwKXAt4FTu+sght7juODroqp2aJ1BG46H40iSJE0gyWGMLpffE/gYcDBwVFV9pmkwrSLJ7arqxgE/z7rQRs3GUZIkaUJJdgYey2hJ3ilV9d3GkRa0JHcD3gLcs6r+MMkuwD5V9U8D57AutNGycZQkSZpQkjsB92Fs209VLWuXaGFLchJwDPDXVbV7ktsB51bVgwbOseDrIkmAe1fVT1pnUb/c4yhJkjSBJG8Engv8kG4/W/f4mFaZxO9V1aeTvAagqm5MsmLIANbFSFVVkv8ABm3ateHZOEqSJE3mGcB9q+r61kF0s2uT3IWVB9M8DLhq4AzWxUrLkjy4qr7VOoj6Y+MoSZI0mfOBrYHLG+fQSn8GnADcN8kZwDaMDqcZknWx0kOBw5L8CLiW0Z7Pqqrd2sbSNNzjKEmSNIEkewP/zqhR+N3ceFUd1CyU6PY17sSoSbmoqm4Y+POti053HcotVNWPhs6i/tg4SpIkTSDJBYzuDfwOY/f0VdXXm4Va4JK8FPjnqrqye30n4JCq+ocBM1gXY5LsB9yvqo7p7rTcsqouaZ1Lt52NoyRJ0gSSfKuqHtw6h1ZKsryqlq42dm5V7TFgBuuik+S1wN7ATlV1/yT3BD5TVfs2jqYpuMdRkiRpMqcl+V+M9tSNL0lcUNcuzJjFSVLdjEiSxcCmA2ewLlb6Y2APYBlAVf00yVZtI2laNo6SJEmTmZvFetjY2IK7dmHGfAH4VJIPda9f1I0NybpY6fruWo65Rn6L1oE0PRtHSZKk9dTNZJ1QVe9unUWreDXwp8BLutdfAj481IdbF7fw6a6J3zrJC4HnA0c3zqQpucdRkiRpAknOqqqHtM6hlboZrf+pqhXd68XA7avqugEzWBdjkjweOIDRKbcnV9WXGkfSlGwcJUmSJpDk3cAmwKcY3VEHLNi9bDMhyTeBx1XVNd3rLYEvVtXDB8xgXXSSvAA4tap+0DqL+uNSVUmSpMks7R7fMDa2UPeyzYrN5ppGgKq6JsnmA2dY2j1aF7At8KEk2wPnAKcCp1XV8pahNB1nHCVJkjSvJTkDOGJudi/JXsD7q2qftskWtiR3AF4IvBK4V1UtbhxJU7BxlCRJmlCSJwK7ApvNjVXVG279J7QhJXkw8Engp4z21N0deGZVnTNwDusCSHIUsC+wJXAucDqjGcefNQ2mqbhUVZIkaQJJPghsDjya0cmdBwNnNQ21wFXVt5LsDOzUDV0E3HnIDNbFKp4K3Ah8Hvg68I2q+t3af0SzzhlHSZKkCSQ5r6p2G3vcEjipqh7ROttCl2Rr4GnAocADquqeA362dTEmyRJGs477AU8HLq+q/dqm0jSccZQkSZrMb7vH65LcE7gCuEfDPAtat4/uyYyaxT2ArYCnMDqQZUjWRSfJA4FHAI8E9gZ+ApzWNJSmZuMoSZI0mRO7ma13AMsYnZzp5eYNJPkEowbli8D7gK8A/7eqvtYgjnWx0lsZNYrvBb5VVTc0zqMeuFRVkiTpNkpye0ZXQVzVOstClGQ5sAg4FvhkVV2W5OKq2rFxrgVfF0k2Be7fvbzI5nH+c8ZRkiRpPXR7tu42d6l5kqcDd+ien1xVP2+ZbyGqqqXdoTiHAF9O8ktgqyR3G+r3YV3cUpJHMmrmL2V0yu19kjynqoZePqweOeMoSZK0HpL8I3BmVX20e/1/gZMYNQk3VtWLG8YTN9/feAjwDOCyqnr4AJ9pXawmyTnAoVV1Uff6/sDxVbVX22Saho2jJEnSekhyLrBndf94SnJuVe3RPT/dEyNnR5IAjxhihsu6uKW5k2XXNab5xaWqkiRJ6+d2ter/4/7ssedbD5xFQJLXMjqE5pqqetfcePd7GmpZpHVxS2cn+TDw8e71YcDZDfOoBzaOkiRJ6+emJHevqv8GqKrzAZLcC7ipabKF69Lu8bdr+6YNzLq4pZcALwWO7F6fBvx9uzjqg0tVJUmS1kOSw4GXAX8OnNsN7wm8E3hvVR3XKpvasS7WT5Izqmrf1jl029k4SpIkrackTwD+CtiV0RLJC4C3VtVJTYMtUEmeXFX/Pu339JDDuliHJD+pqvu0zqHbzsZRkiRJ81KSC4G9qmqNS1WTbAmcXlVLBw2mW0jy46ratnUO3XbucZQkSVoPt3YQi5o6HvhJkk0Y/W4uA94DHAXcGVjBaMnoBmNdrJTkqbf2Ft3dlpq/bBwlSZLWz6XdY8uDWDSmqt4IvBFuvoJjD0YHsexRVd8fKMal3aN1AQeu5b0TB0uhDcKlqpIkSdpoJHlpVXmCp9SzRa0DSJIkzQdJntzH92jDGrpptC60UNg4SpIkrZ//leRW92l1B7G8fsA8C16S/dbx/pIkD9zAMawLLQjucZQkSVo/zQ9i0S08LcnbgS8A5wC/ADYDfh94NLAdo/sVNyTrYjVJbl9Vv1vXmOYX9zhKkiRNqOFBLFpNkjsDTwP2Be7B6JCa7wKfr6rTB85iXQBJllXVnusa0/zijKMkSdKEavT/vC9L8hcLtTmYFVX1qyRfrqqjx8eT7NAgy4KuiyR3B+4F3CHJHoyu4QBYAmzeLJh64YyjJEmS5rVbmeE6p6r2apVpIUryHOC5wN7A2WNvXQ18tKr+T4tc6oczjpIkSeshyX5rW/qYZAmwbVWdP2CsBS3JzsCuwB1Xu3x+CaO9jkNksC46VfUx4GNJnlZVn22dR/2ycZQkSVo/s3AQi1a1E/AkYGtWvXz+auCFA2WwLm7pxCSHAtsz1m9U1RuaJdLUXKoqSZK0nmbpIBatlGSfqvpGw8+3LsYk+QJwFaNGesXceFX9XbNQmpqNoyRJ0gSS7FBVl6xrTMNJcn/gA8DdquqBSXYDDqqqNw2YwbroJDm/qjb0/Zka2KLWASRJkuaZNe3d+pfBU2jc0cBrgBsAquo84FkDZ7AuVjozyYNah1C/3OMoSZK0HmbhIBbdqs2r6qzRNYo3u3GID7Yu1mg/4LlJLgF+x+hajqqq3drG0jRsHCVJktbPLBzEojX7ZZL7AgWQ5GDgZwN9tnVxS3/YOoD65x5HSZKkCbQ+iEW3lGRH4B+BhwO/Bi4BDq+qSwfMYF2MSbIfcL+qOibJNsCWC3G/58bEPY6SJEmTuSLJKUnOB0iyW5KjWodayKrq4qp6HLANsHNV7Tdk09ixLjpJXgu8mtG+U4BNgI+3S6Q+2DhKkiRNZhYOYtGYJC9LsgS4Dnh3kmVJDhg4hnWx0h8DBwHXAlTVT4GtmibS1GwcJUmSJrN5VZ212tggB7HoVj2/qn4DHADcBXg28NaBM1gXK11fo/1wc3tOt2icRz2wcZQkSZpMy4NYtGZzx6n+EXBsVV0wNjYU62KlTyf5ELB1khcCX2Y0I6t5zMNxJEmSJjALB7FoVUmOAe4F7ADsDiwGvlZVew2YwboYk+TxjGaAA5xcVV9qHElTsnGUJEm6Dbrld4uq6urWWRa6JIuApcDFVXVlkrsA9+r2GQ6dxbrodPtOb77+r6p+1TCOpuRSVUmSpAnMyEEsGlNVNwE/B3ZJsj+wK6N7FQdjXayU5EVJ/hs4DzgbOKd71DzmjKMkSdIEkny7qnZP8gfAi4GjgOOqas/G0RasJG8DnglcCKzohquqDhowg3XRSfIDYJ+q+mXrLOrP7db9LZIkSRpzi4NYkgx9EItW9RRgp6r6XcMM1sVKP2Q086qNiI2jJEnSZM5J8kVGB7G8JslWwE2NMy10FzO6ZL5l42hdrPQa4Mwk/8nY76SqjmwXSdNyqaokSdIEZukgFo0k+Syj01RPoVGjYl2slOQs4HTgO4w1z1X1sWahNDVnHCVJkiZQVTclmTuIxX9LzYYTuq9mrItVbFJVf9Y6hPrljKMkSdIEZuEgFt1SkjsA21bVRY0+37roJHkLcCnwOVadAfY6jnnMxlGSJGkCSS4Cdmt8EIvGJDkQeCewaVXtkGQp8IaBT1W1LjpJLlnDcFXVjoOHUW8W+jS6JEnSpGbhIBat6nXAQ4CvAVTV8iRDNynWBTfv9fzLqvpU6yzql42jJEnSZK4DlidpdhCLbuGGqrpqtdsvhj7R1Lrg5r2erwJsHDcyNo6SJEmTaX4Qi27hgiSHAouT3A84Ejhz4AzWxUpfTvJKRs3jtXOD7nGc39zjKEmSNKHWB7FoVUk2B/4aOKAbOhl4U1X9z8A5rAvc47ixsnGUJEmawCwcxKJVJXkEcGZVrRgb27Oqlg2YwbrQRs3GUZIkaQJJzgEeA3ytqvboxs6vqge2TbZwJbkO+Bbw9Kq6vBtbVlV7DpjBuhiT5IHALsBmc2NVdWy7RJrWotYBJEmS5pkbquqq1caGPohFq7oIeAfw9SQP78aylu/fEKyLTpLXAu/rvh4NvB1w5nWe83AcSZKkyczCQSxaVVXVid1dip9K8hFg6GV11sVKBwO7A+dW1fOS3A34eONMmpIzjpIkSZM5AtiV0ZULnwCuAl7eMpBGs4tV9QNg/+5rt4EzWBcr/baqbgJuTLIEuBy4T+NMmpJ7HCVJkiYwCwexaN2SbFtVPx7w86yLTpJ/AP4KeBbw58A1wPKqel7TYJqKjaMkSdIEZuEgFq0qyb0Z7afbj9ES1dOAl1XVZQNmsC7WIMn2wJKqOq91Fk3HpaqSJEmTmYWDWLSqY4ATgHsA9wQ+140NacHXRZLFSbYce/0wYFtg6yRbtUumPng4jiRJ0mRm4SAWrWqbqhpvFD+a5OUDZ7Au4G2M9jO+vXt9PHA+oys5lgGvbpRLPXDGUZIkaTKzcBCLVnVFksO7Ga/FSQ4Hrhg4g3UBjwXeNfb6yqo6EDgA2LdNJPXFPY6SJElTGvogFq0qyXaM9jjuw2iW70zgyNa/k4VWF0m+XVW7j70+oKq+2D1fXlVLm4XT1JxxlCRJmkCSeyf51yS/SHJ5ks+yQC96nwVJFgNvqaqDqmqbqrprVT1l6IbNugBg0/G9jGNN4x0ZLVfVPGbjKEmSNJlZOIhFne76i+2SbNo4inUBRzPa37nt3EA3G3w88OFmqdQLl6pKkiRNYE1L7lyG11aSY4EHMGrcrp0br6p33eoP9Z/BugCSvJjRHY5bdEPXAG+tqg+0S6U+eKqqJEnSZK7oDl85vnt9CMMfxKJV/bD7WgS0uvbBugCq6oPAB+eWrFbV1Y0jqSfOOEqSJE1gVg9iWYiSHFdVz07ysqp6T+MsC74ukvxJ9/S3VfWZpmHUO2ccJUmS1tP4QSytswiAvZLcE3h+t1w1429W1a+GCGFd3GyH7tFZxo2QjaMkSdJ6qqoVSbZLsmlVXd86j/ggcAqwI3AOqzaO1Y1vcNbFSFW9vnUGbTguVZUkSZrALBzEolUl+UBVvaRxButCGzVnHCVJkiYzCwexaEzrprFjXWijZuMoSZK0HuYOYgGubH0Qi2aHdaGFYlHrAJIkSfPE+EEsd0py5/Gv1uHUjHWxDkmenOShrXNoOs44SpIkrZ+ZOIhFM8e6WLeHAg9Kcruq+sPWYXTbeDiOJEnSBGbhIBbNHutCGzsbR0mSJElTS7J/9/T6qvpm0zDqnUtVJUmSJPXhed3jlYCN40bGGUdJkiRJvUiyCDi4qj7dOov6ZeMoSZIkqTdJzq6qvVvnUL9sHCVJkiT1JslbgV8CnwKunRuvql81C6Wp2ThKkiRJ6k2SS9YwXFXl1STzmI2jJEmSJGmtPFVVkiRJUq+SPBDYBdhsbqyqjm2XSNNyxlGSJElSb5K8FngUo8bxP4A/BE6vqoNb5tJ0FrUOIEmSJGmjcjDwWOC/q+p5wO7AHdtG0rRsHCVJkiT16bdVdRNwY5IlwOXAfRpn0pTc4yhJkiSpT2cn2Ro4GjgHuAb4RtNEmpp7HCVJkiRtEEm2B5ZU1Xmts2g6LlWVJEmS1JuMHJ7kb6vqUuDKJA9pnUvTccZRkiRJUm+SfAC4CXhMVT0gyZ2AL1bVgxtH0xTc4yhJkiSpTw+tqj2TnAtQVb9OsmnrUJqOS1UlSZIk9emGJIuBAkiyDaMZSM1jNo6SJEmS+vRe4F+BuyZ5M3A68Ja2kTQt9zhKkiRJ6lWSnYHHAgFOqarvNo6kKdk4SpIkSepNkjcCpwJnVtW1rfOoHy5VlSRJktSni4FDgLOTnJXk75I8uXUoTccZR0mSJEm9S3J34BnAK4E7VdVWjSNpCjaOkiRJknqT5MPALsDPgdMYHY6zrKpubBpMU3GpqiRJkqQ+3QVYDFwJ/Ar4pU3j/OeMoyRJkqTeJXkA8AfAK4DFVXXvxpE0hdu1DiBJkiRp45HkScAjgP2BrYGvMFqyqnnMGUdJkiRJvUnyfkaN4mlV9dPWedQPG0dJkiRJvUiyGPhyVT26dRb1y8NxJEmSJPWiqlYANyW5Y+ss6pd7HCVJkiT16RrgO0m+BFw7N1hVR7aLpGnZOEqSJEnq0//pvrQRcY+jJEmSpF4luQOwbVVd1DqL+uEeR0mSJEm9SXIgsBz4Qvd6aZITmobS1GwcJUmSJPXpdcBDgCsBqmo5sGO7OOqDjaMkSZKkPt1QVVetNnZTkyTqjYfjSJIkSerTBUkOBRYnuR9wJHBm40yakjOOkiRJkvp0BLAr8DvgeOA3wMtbBtL0PFVVkiRJkrRWLlWVJEmSNLUknwNudVaqqg4aMI56ZuMoSZIkqQ/v7B6fCtwd+Hj3+hDg500SqTcuVZUkSZLUmyRnV9Xe6xrT/OLhOJIkSZL6tEWSm+9tTLIDsEXDPOqBS1UlSZIk9ekVwNeSXAwE2A54UdtImpZLVSVJkiT1KsntgZ27l9+rqt+1zKPp2ThKkiRJ6lWShwPbM7bCsaqObRZIU3OpqiRJkqTeJDkOuC+wHFjRDRdg4ziPOeMoSZIkqTdJvgvsUjYaGxVPVZUkSZLUp/MZ3eOojYhLVSVJkiT16feAC5OcBdx8KE5VHdQukqZl4yhJkiSpT69rHUD9c4+jJEmSJGmtnHGUJEmSNLUkVzM6PXVOAb8Evgq8uqquaBJMvXDGUZIkSdIGkeROwHOBh1fV0xvH0RRsHCVJkiRtUEmWVdWerXPotvM6DkmSJEkbTJJNcIvcvOcvUJIkSdLUkjx1DcN3Ap4J/MvAcdQzl6pKkiRJmlqSY1YbKuAK4GtV9fkGkdQjG0dJkiRJ0lq5VFWSJEnS1JL8bff0mqp6V9Mw6p2NoyRJkqQ+/Kh7/G3TFNogXKoqSZIkSVorr+OQJEmSNLUkT+7jezSbnHGUJEmSNLUkFwJ7VdUal6om2RI4vaqWDhpMvXDGUZIkSVIfjgd+kuSqJFcmOT/JC5P8KMnVwGV4n+O85YyjJEmSpF4lCbAHcBqwR1V9v3EkTckZR0mSJEm9qpFlwF/YNG4cnHGUJEmSJK2VM46SJEmSppZkv3W8vyTJA4fKo37drnUASZIkSRuFpyV5O/AF4BzgF8BmwO8Djwa2A/68XTxNw6WqkiRJknqR5M7A04B9gXsAvwW+C3y+qk5vmU3TsXGUJEmS1JskO1TVJesa0/ziHkdJkiRJffrsGsa8v3Gec4+jJEmSpKkl2RnYFbhjkqeOvbWE0V5HzWM2jpIkSZL6sBPwJGBr4MCx8auBF7YIpP64x1GSJElSb5LsU1XfaJ1D/XKPoyRJkqQ+XZHklCTnAyTZLclRrUNpOjaOkiRJkvp0NPAa4AaAqjoPeFbTRJqajaMkSZKkPm1eVWetNnZjkyTqjY2jJEmSpD79Msl9gQJIcjDws7aRNC0Px5EkSZLUmyQ7Av8IPBz4NXAJcHhVXdoyl6Zj4yhJkiSpd0m2ABZV1dWts2h6LlWVJEmS1JskL0uyBLgOeHeSZUkOaJ1L07FxlCRJktSn51fVb4ADgLsAzwbe2jaSpmXjKEmSJKlP6R7/CDi2qi4YG9M8ZeMoSZIkqU/nJPkio8bx5CRbATc1zqQpeTiOJEmSpN4kWQQsBS6uqiuT3AW4V1Wd1zaZpnG71gEkSZIkbTyq6qYkPwd2SWK/sZHwFylJkiSpN0neBjwTuBBY0Q0XcGqzUJqaS1UlSZIk9SbJRcBuVfW71lnUHw/HkSRJktSni4FNWodQv1yqKkmSJKlP1wHLk5wC3DzrWFVHtoukadk4SpIkSerTCd2XNiLucZQkSZLUqyR3ALatqotaZ1E/3OMoSZIkqTdJDgSWA1/oXi9N4gzkPGfjKEmSJKlPrwMeAlwJUFXLgR3bxVEfbBwlSZIk9emGqrpqtbGbmiRRbzwcR5IkSVKfLkhyKLA4yf2AI4EzG2fSlJxxlCRJktSnI4BdGV3F8QngKuDlLQNpep6qKkmSJKk3SR4BnFlVK8bG9qyqZQ1jaUrOOEqSJEnq08nAV5LcdWzsw63CqB82jpIkSZL6dBHwDuDrSR7ejaVhHvXAw3EkSZIk9amq6sQkFwGfSvIRwP1x85wzjpIkSZL6FICq+gGwf/e1W9NEmpqH40iSJEnaoJJsW1U/bp1Dt50zjpIkSZJ6k+TeSf41yS+SXJ7ks8BNrXNpOjaOkiRJkvp0DHACcA/gnsDnujHNYy5VlSRJktSbJMuraum6xjS/OOMoSZIkqU9XJDk8yeLu63DgitahNB1nHCVJkiT1Jsl2wPuAfRhdw3EmcKSH48xvNo6SJEmSepFkMXBsVR3WOov65VJVSZIkSb2oqhXAdkk2bZ1F/bpd6wCSJEmSNioXA2ckOQG4dm6wqt7VLpKmZeMoSZIkqU8/7L4WAVs1zqKe2DhKkiRJmlqS46rq2cCVVfWe1nnULw/HkSRJkjS1JBcCjwNOAh4FZPz9qvpVg1jqiTOOkiRJkvrwQeAUYEfgHFZtHKsb1zzljKMkSZKk3iT5QFW9pHUO9cvGUZIkSZK0Vt7jKEmSJElaKxtHSZIkSdJa2ThKkiRJA0nylCS7tM4hTcrGUZIkSRrOUwAbR807No6SJEmaSUn+JMl5Sb6d5Lgk2yf5Sjd2SpJtu+/7aJL3JjkzycVJDu7G75Hk1CTLk5yf5BHd+AFJvpFkWZLPJNmyG39Cku914+9NcmI3/rokrxzLdX6S7bvnhyc5q/uMDyVZ3I1fk+TNXfZvJrlbkocDBwHv6L7/vkmOTHJh99/0yQH/eqWJ2DhKkiRp5iTZFTgKeExV7Q68DHgf8LGq2g34Z+C9Yz9yD2A/4EnAW7uxQ4GTq2opsDuwPMnvdX/u46pqT+Bs4M+SbAYcDRwI7AXcfT0yPgB4JrBv9xkrgMO6t7cAvtllPxV4YVWdCZwAvKqqllbVD4G/BPbo/ptePNnfkjSc27UOIEmSJK3BY4DPVNUvAarqV0n2AZ7avX8c8Pax7/+3qroJuDDJ3bqxbwEfSbJJ9/7yJI9ktFT0jCQAmwLfAHYGLqmqHwAk+Tjwp+vI+FhGTea3uj/rDsDl3XvXAyd2z88BHn8rf8Z5wD8n+Tfg39bxeVIzNo6SJEnaGPxu7HkAqurUJPsDTwQ+muRdwK+BL1XVIeM/nGTpWv7sG1l1pd5mY5/zsap6zRp+5oZaeWH6Cm79391PBPZnNNP510keVFU3riWL1IRLVSVJkjSLvgI8PcldAJLcGTgTeFb3/mHAaWv7A5JsB/y8qo4GPgzsCXwT2DfJ73ffs0WS+wPfA7ZPct/ux8cby0u7nyXJnsAO3fgpwMFJ7jqXsfvMtbka2Kr7/kXAfarqq8CrgTsCW67j56UmnHGUJEnSzKmqC5K8Gfh6khXAucARwDFJXgX8AnjeOv6YRwGvSnIDcA3wJ1X1iyTPBY5Pcvvu+46qqu8n+VPg80muY9SUbtW9/1ngT5JcAPwn8P0u44VJjgK+2DWBNwAvBX60lkyfBI5OciSjJvifktyR0ezle6vqyvX5+5GGlpUz6JIkSZIAkjwKeGVVPalxFGkmuFRVkiRJkrRWzjhKkiRJktbKGUdJkiRJ0lrZOEqSJEmS1srGUZIkSZK0VjaOkiRJkqS1snGUJEmSJK3V/w/ZxJ4DNB7YRAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualization\n",
    "\n",
    "\n",
    "# Define a list of customer groups\n",
    "customer_groups = ['Low Spender', 'Promising', 'High Spender', 'Champion']\n",
    "\n",
    "# Loop through each customer group and generate a market basket analysis visualization\n",
    "for group in customer_groups:\n",
    "    # Get the frequent itemsets and association rules for the customer group\n",
    "    rules, top_article = market_basket(group)\n",
    "\n",
    "    # Sort the rules by lift and select the top 10\n",
    "    top_rules = rules.sort_values(by=['lift', 'support','confidence'], ascending=False).head(10)\n",
    "\n",
    "    # Create a pivot table that shows the frequency of co-occurrence of products\n",
    "    basket_pivot = pd.pivot_table(top_rules, values='confidence', index=['antecedents'], columns=['consequents'], fill_value=0)\n",
    "\n",
    "    # Create a heatmap of the pivot table\n",
    "    sns.heatmap(basket_pivot, cmap='coolwarm', annot=True, fmt='.2f')\n",
    "    plt.title(f'Top 10 Association Rules by Lift for {group}')\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "include_colab_link": true,
   "provenance": []
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