processed data 2 companys for 1 product.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "148459d5",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mariangelapetruzzi/opt/anaconda3/lib/python3.9/site-packages/pandas/core/computation/expressions.py:21: UserWarning: Pandas requires version '2.8.4' or newer of 'numexpr' (version '2.8.1' currently installed).\n",
      "  from pandas.core.computation.check import NUMEXPR_INSTALLED\n",
      "/Users/mariangelapetruzzi/opt/anaconda3/lib/python3.9/site-packages/pandas/core/arrays/masked.py:60: UserWarning: Pandas requires version '1.3.6' or newer of 'bottleneck' (version '1.3.4' currently installed).\n",
      "  from pandas.core import (\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import glob\n",
    "import array\n",
    "import random\n",
    "import math\n",
    "\n",
    "\n",
    "from datetime import datetime\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "\n",
    "\n",
    "from statsmodels.graphics.api import qqplot\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "plt.style.use('fivethirtyeight')\n",
    "import seaborn as sns\n",
    "import scipy.stats as stats\n",
    "from scipy import signal\n",
    "from scipy import stats\n",
    "\n",
    "import scipy.io\n",
    "\n",
    "\n",
    "import dtaidistance\n",
    "from dtaidistance import preprocessing\n",
    "from dtaidistance import dtw\n",
    "from dtaidistance import dtw_visualisation as dtwvis\n",
    "\n",
    "\n",
    "from scipy.signal import hilbert, butter, filtfilt\n",
    "from scipy.fftpack import fft,fftfreq,rfft,irfft,ifft\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9c5f9aeb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def present_first_and_last_with_reticence(data):\n",
    "  \n",
    "    first_rows = data.head(3)\n",
    "    \n",
    "   \n",
    "    last_rows = data.tail(3)\n",
    "    \n",
    "    \n",
    "    ret = pd.DataFrame({col: ['...'] for col in data.columns}, index=['...'])\n",
    "    \n",
    "  \n",
    "    apre = pd.concat([first_rows, ret, last_rows])\n",
    "    \n",
    "    return apre\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "068f132c",
   "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>My price</th>\n",
       "      <th>Wom / Loyalty</th>\n",
       "      <th>Falabella / Loyalty</th>\n",
       "      <th>Lider / Loyalty</th>\n",
       "      <th>Paris / Loyalty</th>\n",
       "      <th>Abcdin / Loyalty</th>\n",
       "      <th>Claro / Loyalty</th>\n",
       "      <th>Aufbau / Loyalty</th>\n",
       "      <th>Mac Online / Loyalty</th>\n",
       "      <th>Ripley / Loyalty</th>\n",
       "      <th>Movistar / Loyalty</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "      <td>Apple iPhone 14 Plus 128GB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "      <td>Samsung Galaxy S23 256GB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "      <td>Apple iPhone 13 128GB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Fold4 256GB (5G)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "      <td>Samsung Galaxy Z Flip4 256GB (5G)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                            My price                      Wom / Loyalty  \\\n",
       "0        Apple iPhone 14 Plus 128GB         Apple iPhone 14 Plus 128GB    \n",
       "1           Samsung Galaxy S23 256GB           Samsung Galaxy S23 256GB   \n",
       "2              Apple iPhone 13 128GB              Apple iPhone 13 128GB   \n",
       "3  Samsung Galaxy Z Fold4 256GB (5G)  Samsung Galaxy Z Fold4 256GB (5G)   \n",
       "4  Samsung Galaxy Z Flip4 256GB (5G)  Samsung Galaxy Z Flip4 256GB (5G)   \n",
       "\n",
       "                 Falabella / Loyalty                    Lider / Loyalty  \\\n",
       "0        Apple iPhone 14 Plus 128GB         Apple iPhone 14 Plus 128GB    \n",
       "1           Samsung Galaxy S23 256GB           Samsung Galaxy S23 256GB   \n",
       "2              Apple iPhone 13 128GB              Apple iPhone 13 128GB   \n",
       "3  Samsung Galaxy Z Fold4 256GB (5G)  Samsung Galaxy Z Fold4 256GB (5G)   \n",
       "4  Samsung Galaxy Z Flip4 256GB (5G)  Samsung Galaxy Z Flip4 256GB (5G)   \n",
       "\n",
       "                     Paris / Loyalty                   Abcdin / Loyalty  \\\n",
       "0        Apple iPhone 14 Plus 128GB                                 NaN   \n",
       "1           Samsung Galaxy S23 256GB           Samsung Galaxy S23 256GB   \n",
       "2              Apple iPhone 13 128GB              Apple iPhone 13 128GB   \n",
       "3  Samsung Galaxy Z Fold4 256GB (5G)  Samsung Galaxy Z Fold4 256GB (5G)   \n",
       "4  Samsung Galaxy Z Flip4 256GB (5G)  Samsung Galaxy Z Flip4 256GB (5G)   \n",
       "\n",
       "                     Claro / Loyalty             Aufbau / Loyalty  \\\n",
       "0        Apple iPhone 14 Plus 128GB   Apple iPhone 14 Plus 128GB    \n",
       "1           Samsung Galaxy S23 256GB                          NaN   \n",
       "2              Apple iPhone 13 128GB        Apple iPhone 13 128GB   \n",
       "3  Samsung Galaxy Z Fold4 256GB (5G)                          NaN   \n",
       "4  Samsung Galaxy Z Flip4 256GB (5G)                          NaN   \n",
       "\n",
       "          Mac Online / Loyalty                   Ripley / Loyalty  \\\n",
       "0  Apple iPhone 14 Plus 128GB         Apple iPhone 14 Plus 128GB    \n",
       "1                          NaN           Samsung Galaxy S23 256GB   \n",
       "2        Apple iPhone 13 128GB              Apple iPhone 13 128GB   \n",
       "3                          NaN  Samsung Galaxy Z Fold4 256GB (5G)   \n",
       "4                          NaN  Samsung Galaxy Z Flip4 256GB (5G)   \n",
       "\n",
       "                  Movistar / Loyalty  \n",
       "0        Apple iPhone 14 Plus 128GB   \n",
       "1           Samsung Galaxy S23 256GB  \n",
       "2              Apple iPhone 13 128GB  \n",
       "3  Samsung Galaxy Z Fold4 256GB (5G)  \n",
       "4  Samsung Galaxy Z Flip4 256GB (5G)  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data=pd.read_excel(\"Prices_Excel/processed_data/CL/company_products/CL_No_Client_companies_product.xlsx\") \n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3fa36f57",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['My price',\n",
       " 'Wom / Loyalty',\n",
       " 'Falabella / Loyalty',\n",
       " 'Lider / Loyalty',\n",
       " 'Paris / Loyalty',\n",
       " 'Abcdin / Loyalty',\n",
       " 'Claro / Loyalty',\n",
       " 'Aufbau / Loyalty',\n",
       " 'Mac Online / Loyalty',\n",
       " 'Ripley / Loyalty',\n",
       " 'Movistar / Loyalty']"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "companies=data.columns\n",
    "companies=companies.tolist()\n",
    "companies\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1305d693",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Apple iPhone 11 128GB',\n",
       " 'Apple iPhone 11 64GB',\n",
       " 'Apple iPhone 13 128GB',\n",
       " 'Apple iPhone 14 128GB ',\n",
       " 'Apple iPhone 14 256GB ',\n",
       " 'Apple iPhone 14 512GB',\n",
       " 'Apple iPhone 14 Plus 128GB ',\n",
       " 'Apple iPhone 14 Plus 256GB ',\n",
       " 'Apple iPhone 14 Pro 128GB',\n",
       " 'Apple iPhone 14 Pro 256GB',\n",
       " 'Apple iPhone 14 Pro Max 128GB ',\n",
       " 'Apple iPhone 14 Pro Max 256GB ',\n",
       " 'Motorola Moto E22i  64GB',\n",
       " 'Samsung Galaxy A23 128GB (5G)',\n",
       " 'Samsung Galaxy S22 128GB (5G)',\n",
       " 'Samsung Galaxy S22 256GB (5G)',\n",
       " 'Samsung Galaxy S23 256GB',\n",
       " 'Samsung Galaxy Z Flip4 256GB (5G)',\n",
       " 'Samsung Galaxy Z Fold4 256GB (5G)',\n",
       " 'Vivo Y22s 128GB '}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "column_products_A = set(data['Wom / Loyalty'])\n",
    "column_products_B = set(data['Falabella / Loyalty'])\n",
    "\n",
    "\n",
    "common_products = column_products_A.intersection(column_products_B)\n",
    "common_products"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3145c88c",
   "metadata": {},
   "source": [
    "# Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "47613978",
   "metadata": {},
   "outputs": [],
   "source": [
    "def list_of_product_common(company1, company2):\n",
    "    column_products_A = set(data[company1])\n",
    "    column_products_B = set(data[company2])\n",
    "\n",
    "    common_products = column_products_A.intersection(column_products_B)\n",
    "    return common_products"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84026ff2",
   "metadata": {},
   "source": [
    "### 'Wom / Loyalty' vs 'Falabella / Loyalty'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "cc343208",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Apple iPhone 14 Pro 128GB',\n",
       " 'Apple iPhone 14 Pro 256GB',\n",
       " 'Motorola Moto E22i  64GB',\n",
       " 'Apple iPhone 14 Plus 256GB ',\n",
       " 'Apple iPhone 14 256GB ',\n",
       " 'Apple iPhone 14 128GB ',\n",
       " 'Samsung Galaxy Z Flip4 256GB (5G)',\n",
       " 'Samsung Galaxy S22 128GB (5G)',\n",
       " 'Apple iPhone 14 512GB',\n",
       " 'Apple iPhone 11 128GB',\n",
       " 'Apple iPhone 13 128GB',\n",
       " 'Samsung Galaxy Z Fold4 256GB (5G)',\n",
       " 'Apple iPhone 11 64GB',\n",
       " 'Apple iPhone 14 Plus 128GB ',\n",
       " 'Apple iPhone 14 Pro Max 256GB ',\n",
       " 'Samsung Galaxy S22 256GB (5G)',\n",
       " 'Vivo Y22s 128GB ',\n",
       " 'Apple iPhone 14 Pro Max 128GB ',\n",
       " 'Samsung Galaxy S23 256GB',\n",
       " 'Samsung Galaxy A23 128GB (5G)']"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "company1='Wom / Loyalty' \n",
    "company2='Falabella / Loyalty'\n",
    "common_products=list(list_of_product_common(company1, company2))\n",
    "common_products"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "42fa72da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Prices_Excel/processed_data/CL/time_series_processed/Vivo Y16 64GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Motorola Moto E22i  64GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 256GB .xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Samsung Galaxy S22 128GB (5G).xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 128GB .xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 11 64GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 Pro Max 256GB .xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 Plus 128GB .xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 Pro Max 128GB .xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 Pro 256GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 Pro 128GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 512GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 14 Plus 256GB .xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Samsung Galaxy S23 256GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Samsung Galaxy Z Flip4 256GB (5G).xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 11 128GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Samsung Galaxy Z Fold4 256GB (5G).xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Samsung Galaxy A23 128GB (5G).xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Apple iPhone 13 128GB.xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Vivo Y22s 128GB .xlsx',\n",
       " 'Prices_Excel/processed_data/CL/time_series_processed/Samsung Galaxy S22 256GB (5G).xlsx']"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "path = \"Prices_Excel/processed_data/CL/time_series_processed/\"  \n",
    "list_product = glob.glob(path+ \"*.xlsx\")\n",
    "list_product"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "20740584",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5d898eb2",
   "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>Apple iPhone 14 Pro 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro 256GB</th>\n",
       "      <th>Motorola Moto E22i  64GB</th>\n",
       "      <th>Apple iPhone 14 Plus 256GB</th>\n",
       "      <th>Apple iPhone 14 256GB</th>\n",
       "      <th>Apple iPhone 14 128GB</th>\n",
       "      <th>Samsung Galaxy Z Flip4 256GB (5G)</th>\n",
       "      <th>Samsung Galaxy S22 128GB (5G)</th>\n",
       "      <th>Apple iPhone 14 512GB</th>\n",
       "      <th>Apple iPhone 11 128GB</th>\n",
       "      <th>Apple iPhone 13 128GB</th>\n",
       "      <th>Samsung Galaxy Z Fold4 256GB (5G)</th>\n",
       "      <th>Apple iPhone 11 64GB</th>\n",
       "      <th>Apple iPhone 14 Plus 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro Max 256GB</th>\n",
       "      <th>Samsung Galaxy S22 256GB (5G)</th>\n",
       "      <th>Vivo Y22s 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro Max 128GB</th>\n",
       "      <th>Samsung Galaxy S23 256GB</th>\n",
       "      <th>Samsung Galaxy A23 128GB (5G)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [Apple iPhone 14 Pro 128GB, Apple iPhone 14 Pro 256GB, Motorola Moto E22i  64GB, Apple iPhone 14 Plus 256GB , Apple iPhone 14 256GB , Apple iPhone 14 128GB , Samsung Galaxy Z Flip4 256GB (5G), Samsung Galaxy S22 128GB (5G), Apple iPhone 14 512GB, Apple iPhone 11 128GB, Apple iPhone 13 128GB, Samsung Galaxy Z Fold4 256GB (5G), Apple iPhone 11 64GB, Apple iPhone 14 Plus 128GB , Apple iPhone 14 Pro Max 256GB , Samsung Galaxy S22 256GB (5G), Vivo Y22s 128GB , Apple iPhone 14 Pro Max 128GB , Samsung Galaxy S23 256GB, Samsung Galaxy A23 128GB (5G)]\n",
       "Index: []"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_company1=pd.DataFrame(columns=common_products)\n",
    "df_company2=pd.DataFrame(columns=common_products)\n",
    "df_company1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a3642cbd",
   "metadata": {},
   "outputs": [],
   "source": [
    "max_len = None  \n",
    "\n",
    "for i in common_products:\n",
    "    data = pd.read_excel(path + i + \".xlsx\") \n",
    "    df_company1[i] = data[company1]\n",
    "    df_company2[i] = data[company2]\n",
    "    \n",
    "    \n",
    "    current_len = len(data['Date'].tolist()) \n",
    "    \n",
    "    if max_len is None or current_len > max_len:\n",
    "        max_len = current_len  \n",
    "        date=data['Date'].tolist()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b3ce5038",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eb740847",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "256a9088",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_company1.index = date\n",
    "df_company2.index = date\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "fff0465e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Apple iPhone 14 Pro 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro 256GB</th>\n",
       "      <th>Motorola Moto E22i  64GB</th>\n",
       "      <th>Apple iPhone 14 Plus 256GB</th>\n",
       "      <th>Apple iPhone 14 256GB</th>\n",
       "      <th>Apple iPhone 14 128GB</th>\n",
       "      <th>Samsung Galaxy Z Flip4 256GB (5G)</th>\n",
       "      <th>Samsung Galaxy S22 128GB (5G)</th>\n",
       "      <th>Apple iPhone 14 512GB</th>\n",
       "      <th>Apple iPhone 11 128GB</th>\n",
       "      <th>Apple iPhone 13 128GB</th>\n",
       "      <th>Samsung Galaxy Z Fold4 256GB (5G)</th>\n",
       "      <th>Apple iPhone 11 64GB</th>\n",
       "      <th>Apple iPhone 14 Plus 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro Max 256GB</th>\n",
       "      <th>Samsung Galaxy S22 256GB (5G)</th>\n",
       "      <th>Vivo Y22s 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro Max 128GB</th>\n",
       "      <th>Samsung Galaxy S23 256GB</th>\n",
       "      <th>Samsung Galaxy A23 128GB (5G)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>20/12/2023</th>\n",
       "      <td>$1,002,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$76,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$897,600</td>\n",
       "      <td>$865,200</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$720,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$430,800</td>\n",
       "      <td>$1,044,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$552,000</td>\n",
       "      <td>$150,000</td>\n",
       "      <td>$1,156,800</td>\n",
       "      <td>$840,000</td>\n",
       "      <td>$216,000</td>\n",
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       "    <tr>\n",
       "      <th>19/12/2023</th>\n",
       "      <td>$1,002,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$76,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$897,600</td>\n",
       "      <td>$865,200</td>\n",
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       "      <td>$720,000</td>\n",
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       "      <td>$430,800</td>\n",
       "      <td>$1,044,000</td>\n",
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       "      <td>$552,000</td>\n",
       "      <td>$150,000</td>\n",
       "      <td>$1,156,800</td>\n",
       "      <td>$840,000</td>\n",
       "      <td>$216,000</td>\n",
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       "    <tr>\n",
       "      <th>18/12/2023</th>\n",
       "      <td>$1,002,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$76,800</td>\n",
       "      <td>-</td>\n",
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       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$744,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$430,800</td>\n",
       "      <td>$1,044,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$552,000</td>\n",
       "      <td>$150,000</td>\n",
       "      <td>$1,156,800</td>\n",
       "      <td>$840,000</td>\n",
       "      <td>$216,000</td>\n",
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       "      <th>16/12/2023</th>\n",
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       "      <th>05/01/2023</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,192,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$948,000</td>\n",
       "      <td>$924,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$1,324,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$804,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$438,000</td>\n",
       "      <td>$1,072,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$696,000</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>04/01/2023</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,192,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$948,000</td>\n",
       "      <td>$924,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$1,324,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$804,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$438,000</td>\n",
       "      <td>$1,072,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$696,000</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>03/01/2023</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,192,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$948,000</td>\n",
       "      <td>$924,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$1,324,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$804,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$438,000</td>\n",
       "      <td>$1,072,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$696,000</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>02/01/2023</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,192,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$948,000</td>\n",
       "      <td>$924,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$1,324,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$804,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$438,000</td>\n",
       "      <td>$1,072,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$696,000</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/01/2023</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,192,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$948,000</td>\n",
       "      <td>$924,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$1,324,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$804,000</td>\n",
       "      <td>-</td>\n",
       "      <td>$438,000</td>\n",
       "      <td>$1,072,800</td>\n",
       "      <td>-</td>\n",
       "      <td>$696,000</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>354 rows × 20 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           Apple iPhone 14 Pro 128GB Apple iPhone 14 Pro 256GB  \\\n",
       "20/12/2023                $1,002,000                         -   \n",
       "19/12/2023                $1,002,000                         -   \n",
       "18/12/2023                $1,002,000                         -   \n",
       "17/12/2023                         -                         -   \n",
       "16/12/2023                         -                         -   \n",
       "...                              ...                       ...   \n",
       "05/01/2023                $1,198,800                         -   \n",
       "04/01/2023                $1,198,800                         -   \n",
       "03/01/2023                $1,198,800                         -   \n",
       "02/01/2023                $1,198,800                         -   \n",
       "01/01/2023                $1,198,800                         -   \n",
       "\n",
       "           Motorola Moto E22i  64GB Apple iPhone 14 Plus 256GB   \\\n",
       "20/12/2023                  $76,800                           -   \n",
       "19/12/2023                  $76,800                           -   \n",
       "18/12/2023                  $76,800                           -   \n",
       "17/12/2023                        -                           -   \n",
       "16/12/2023                        -                           -   \n",
       "...                             ...                         ...   \n",
       "05/01/2023                        -                  $1,192,800   \n",
       "04/01/2023                        -                  $1,192,800   \n",
       "03/01/2023                        -                  $1,192,800   \n",
       "02/01/2023                        -                  $1,192,800   \n",
       "01/01/2023                        -                  $1,192,800   \n",
       "\n",
       "           Apple iPhone 14 256GB  Apple iPhone 14 128GB   \\\n",
       "20/12/2023               $897,600               $865,200   \n",
       "19/12/2023               $897,600               $865,200   \n",
       "18/12/2023               $897,600               $865,200   \n",
       "17/12/2023                      -                      -   \n",
       "16/12/2023                      -                      -   \n",
       "...                           ...                    ...   \n",
       "05/01/2023             $1,056,000               $948,000   \n",
       "04/01/2023             $1,056,000               $948,000   \n",
       "03/01/2023             $1,056,000               $948,000   \n",
       "02/01/2023             $1,056,000               $948,000   \n",
       "01/01/2023             $1,056,000               $948,000   \n",
       "\n",
       "           Samsung Galaxy Z Flip4 256GB (5G) Samsung Galaxy S22 128GB (5G)  \\\n",
       "20/12/2023                                 -                             -   \n",
       "19/12/2023                                 -                             -   \n",
       "18/12/2023                                 -                             -   \n",
       "17/12/2023                                 -                             -   \n",
       "16/12/2023                                 -                             -   \n",
       "...                                      ...                           ...   \n",
       "05/01/2023                          $924,000                      $640,800   \n",
       "04/01/2023                          $924,000                      $640,800   \n",
       "03/01/2023                          $924,000                      $640,800   \n",
       "02/01/2023                          $924,000                      $640,800   \n",
       "01/01/2023                          $924,000                      $640,800   \n",
       "\n",
       "           Apple iPhone 14 512GB Apple iPhone 11 128GB Apple iPhone 13 128GB  \\\n",
       "20/12/2023                     -                     -              $720,000   \n",
       "19/12/2023                     -                     -              $720,000   \n",
       "18/12/2023                     -                     -              $744,000   \n",
       "17/12/2023                     -                     -                     -   \n",
       "16/12/2023                     -                     -                     -   \n",
       "...                          ...                   ...                   ...   \n",
       "05/01/2023            $1,324,800                     -              $804,000   \n",
       "04/01/2023            $1,324,800                     -              $804,000   \n",
       "03/01/2023            $1,324,800                     -              $804,000   \n",
       "02/01/2023            $1,324,800                     -              $804,000   \n",
       "01/01/2023            $1,324,800                     -              $804,000   \n",
       "\n",
       "           Samsung Galaxy Z Fold4 256GB (5G) Apple iPhone 11 64GB  \\\n",
       "20/12/2023                                 -             $430,800   \n",
       "19/12/2023                                 -             $430,800   \n",
       "18/12/2023                                 -             $430,800   \n",
       "17/12/2023                                 -                    -   \n",
       "16/12/2023                                 -                    -   \n",
       "...                                      ...                  ...   \n",
       "05/01/2023                                 -             $438,000   \n",
       "04/01/2023                                 -             $438,000   \n",
       "03/01/2023                                 -             $438,000   \n",
       "02/01/2023                                 -             $438,000   \n",
       "01/01/2023                                 -             $438,000   \n",
       "\n",
       "           Apple iPhone 14 Plus 128GB  Apple iPhone 14 Pro Max 256GB   \\\n",
       "20/12/2023                  $1,044,000                              -   \n",
       "19/12/2023                  $1,044,000                              -   \n",
       "18/12/2023                  $1,044,000                              -   \n",
       "17/12/2023                           -                              -   \n",
       "16/12/2023                           -                              -   \n",
       "...                                ...                            ...   \n",
       "05/01/2023                  $1,072,800                              -   \n",
       "04/01/2023                  $1,072,800                              -   \n",
       "03/01/2023                  $1,072,800                              -   \n",
       "02/01/2023                  $1,072,800                              -   \n",
       "01/01/2023                  $1,072,800                              -   \n",
       "\n",
       "           Samsung Galaxy S22 256GB (5G) Vivo Y22s 128GB   \\\n",
       "20/12/2023                      $552,000         $150,000   \n",
       "19/12/2023                      $552,000         $150,000   \n",
       "18/12/2023                      $552,000         $150,000   \n",
       "17/12/2023                             -                -   \n",
       "16/12/2023                             -                -   \n",
       "...                                  ...              ...   \n",
       "05/01/2023                      $696,000         $220,800   \n",
       "04/01/2023                      $696,000         $220,800   \n",
       "03/01/2023                      $696,000         $220,800   \n",
       "02/01/2023                      $696,000         $220,800   \n",
       "01/01/2023                      $696,000         $220,800   \n",
       "\n",
       "           Apple iPhone 14 Pro Max 128GB  Samsung Galaxy S23 256GB  \\\n",
       "20/12/2023                     $1,156,800                 $840,000   \n",
       "19/12/2023                     $1,156,800                 $840,000   \n",
       "18/12/2023                     $1,156,800                 $840,000   \n",
       "17/12/2023                              -                        -   \n",
       "16/12/2023                              -                        -   \n",
       "...                                   ...                      ...   \n",
       "05/01/2023                              -                      NaN   \n",
       "04/01/2023                              -                      NaN   \n",
       "03/01/2023                              -                      NaN   \n",
       "02/01/2023                              -                      NaN   \n",
       "01/01/2023                              -                      NaN   \n",
       "\n",
       "           Samsung Galaxy A23 128GB (5G)  \n",
       "20/12/2023                      $216,000  \n",
       "19/12/2023                      $216,000  \n",
       "18/12/2023                      $216,000  \n",
       "17/12/2023                             -  \n",
       "16/12/2023                             -  \n",
       "...                                  ...  \n",
       "05/01/2023                      $256,800  \n",
       "04/01/2023                      $256,800  \n",
       "03/01/2023                      $256,800  \n",
       "02/01/2023                      $256,800  \n",
       "01/01/2023                      $256,800  \n",
       "\n",
       "[354 rows x 20 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_company1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "55efff6b",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_company1.index = pd.to_datetime(df_company1.index, format='%d/%m/%Y')\n",
    "df_company2.index = pd.to_datetime(df_company2.index, format='%d/%m/%Y')\n",
    "\n",
    "df_company1= df_company1.sort_index(ascending=True)\n",
    "df_company2 = df_company2.sort_index(ascending=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "6fb4c801",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "206334 bytes written to file /var/folders/4p/q7_ch2s94c37xj9l5h3fltgh0000gn/T/tmprgj0rz_a/temp.png\n",
      "203280 bytes written to file /var/folders/4p/q7_ch2s94c37xj9l5h3fltgh0000gn/T/tmphlbwycfo/temp.png\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "from IPython.display import display\n",
    "import dataframe_image as dfi\n",
    "dfi.export(df_company1.iloc[:, [0, 4,7,16,17,18,19]].head(10), 'img_tese_cp3/df_company1.png')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3df6abe0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Apple iPhone 14 Pro 128GB</th>\n",
       "      <th>Apple iPhone 14 256GB</th>\n",
       "      <th>Samsung Galaxy S22 128GB (5G)</th>\n",
       "      <th>Vivo Y22s 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro Max 128GB</th>\n",
       "      <th>Samsung Galaxy S23 256GB</th>\n",
       "      <th>Samsung Galaxy A23 128GB (5G)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2023-01-01</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-02</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-03</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-04</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-05</th>\n",
       "      <td>$1,198,800</td>\n",
       "      <td>$1,056,000</td>\n",
       "      <td>$640,800</td>\n",
       "      <td>$220,800</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>$256,800</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-16</th>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-17</th>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-18</th>\n",
       "      <td>$1,002,000</td>\n",
       "      <td>$897,600</td>\n",
       "      <td>-</td>\n",
       "      <td>$150,000</td>\n",
       "      <td>$1,156,800</td>\n",
       "      <td>$840,000</td>\n",
       "      <td>$216,000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-19</th>\n",
       "      <td>$1,002,000</td>\n",
       "      <td>$897,600</td>\n",
       "      <td>-</td>\n",
       "      <td>$150,000</td>\n",
       "      <td>$1,156,800</td>\n",
       "      <td>$840,000</td>\n",
       "      <td>$216,000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-20</th>\n",
       "      <td>$1,002,000</td>\n",
       "      <td>$897,600</td>\n",
       "      <td>-</td>\n",
       "      <td>$150,000</td>\n",
       "      <td>$1,156,800</td>\n",
       "      <td>$840,000</td>\n",
       "      <td>$216,000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>354 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           Apple iPhone 14 Pro 128GB Apple iPhone 14 256GB   \\\n",
       "2023-01-01                $1,198,800             $1,056,000   \n",
       "2023-01-02                $1,198,800             $1,056,000   \n",
       "2023-01-03                $1,198,800             $1,056,000   \n",
       "2023-01-04                $1,198,800             $1,056,000   \n",
       "2023-01-05                $1,198,800             $1,056,000   \n",
       "...                              ...                    ...   \n",
       "2023-12-16                         -                      -   \n",
       "2023-12-17                         -                      -   \n",
       "2023-12-18                $1,002,000               $897,600   \n",
       "2023-12-19                $1,002,000               $897,600   \n",
       "2023-12-20                $1,002,000               $897,600   \n",
       "\n",
       "           Samsung Galaxy S22 128GB (5G) Vivo Y22s 128GB   \\\n",
       "2023-01-01                      $640,800         $220,800   \n",
       "2023-01-02                      $640,800         $220,800   \n",
       "2023-01-03                      $640,800         $220,800   \n",
       "2023-01-04                      $640,800         $220,800   \n",
       "2023-01-05                      $640,800         $220,800   \n",
       "...                                  ...              ...   \n",
       "2023-12-16                             -                -   \n",
       "2023-12-17                             -                -   \n",
       "2023-12-18                             -         $150,000   \n",
       "2023-12-19                             -         $150,000   \n",
       "2023-12-20                             -         $150,000   \n",
       "\n",
       "           Apple iPhone 14 Pro Max 128GB  Samsung Galaxy S23 256GB  \\\n",
       "2023-01-01                              -                      NaN   \n",
       "2023-01-02                              -                      NaN   \n",
       "2023-01-03                              -                      NaN   \n",
       "2023-01-04                              -                      NaN   \n",
       "2023-01-05                              -                      NaN   \n",
       "...                                   ...                      ...   \n",
       "2023-12-16                              -                        -   \n",
       "2023-12-17                              -                        -   \n",
       "2023-12-18                     $1,156,800                 $840,000   \n",
       "2023-12-19                     $1,156,800                 $840,000   \n",
       "2023-12-20                     $1,156,800                 $840,000   \n",
       "\n",
       "           Samsung Galaxy A23 128GB (5G)  \n",
       "2023-01-01                      $256,800  \n",
       "2023-01-02                      $256,800  \n",
       "2023-01-03                      $256,800  \n",
       "2023-01-04                      $256,800  \n",
       "2023-01-05                      $256,800  \n",
       "...                                  ...  \n",
       "2023-12-16                             -  \n",
       "2023-12-17                             -  \n",
       "2023-12-18                      $216,000  \n",
       "2023-12-19                      $216,000  \n",
       "2023-12-20                      $216,000  \n",
       "\n",
       "[354 rows x 7 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_company1.iloc[:, [0, 4,7,16,17,18,19]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fa2c178a",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "0e813716",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "176550 bytes written to file /var/folders/4p/q7_ch2s94c37xj9l5h3fltgh0000gn/T/tmph60358jq/temp.png\n",
      "175550 bytes written to file /var/folders/4p/q7_ch2s94c37xj9l5h3fltgh0000gn/T/tmpxazy8vwd/temp.png\n"
     ]
    }
   ],
   "source": [
    "dfi.export(df_company2.iloc[:, [0, 4,7,16,17,18,19]].head(10), 'img_tese_cp3/df_company2.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "aacaea5e",
   "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",
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       "    .dataframe thead th {\n",
       "        text-align: right;\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Apple iPhone 14 Pro 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro 256GB</th>\n",
       "      <th>Motorola Moto E22i  64GB</th>\n",
       "      <th>Apple iPhone 14 Plus 256GB</th>\n",
       "      <th>Apple iPhone 14 256GB</th>\n",
       "      <th>Apple iPhone 14 128GB</th>\n",
       "      <th>Samsung Galaxy Z Flip4 256GB (5G)</th>\n",
       "      <th>Samsung Galaxy S22 128GB (5G)</th>\n",
       "      <th>Apple iPhone 14 512GB</th>\n",
       "      <th>Apple iPhone 11 128GB</th>\n",
       "      <th>Apple iPhone 13 128GB</th>\n",
       "      <th>Samsung Galaxy Z Fold4 256GB (5G)</th>\n",
       "      <th>Apple iPhone 11 64GB</th>\n",
       "      <th>Apple iPhone 14 Plus 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro Max 256GB</th>\n",
       "      <th>Samsung Galaxy S22 256GB (5G)</th>\n",
       "      <th>Vivo Y22s 128GB</th>\n",
       "      <th>Apple iPhone 14 Pro Max 128GB</th>\n",
       "      <th>Samsung Galaxy S23 256GB</th>\n",
       "      <th>Samsung Galaxy A23 128GB (5G)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2023-01-01</th>\n",
       "      <td>$1,199,990</td>\n",
       "      <td>$1,349,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$949,990</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$699,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$549,990</td>\n",
       "      <td>$859,990</td>\n",
       "      <td>$1,999,990</td>\n",
       "      <td>$499,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$1,499,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$209,990</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-02</th>\n",
       "      <td>-</td>\n",
       "      <td>$1,349,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$949,990</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$699,990</td>\n",
       "      <td>$1,389,990</td>\n",
       "      <td>$549,990</td>\n",
       "      <td>$859,990</td>\n",
       "      <td>$1,999,990</td>\n",
       "      <td>$499,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$1,499,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$209,990</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-03</th>\n",
       "      <td>-</td>\n",
       "      <td>$1,349,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$949,990</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$699,990</td>\n",
       "      <td>$1,389,990</td>\n",
       "      <td>$549,990</td>\n",
       "      <td>$859,990</td>\n",
       "      <td>$1,999,990</td>\n",
       "      <td>$499,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$1,499,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$209,990</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-04</th>\n",
       "      <td>$1,199,990</td>\n",
       "      <td>$1,349,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$949,990</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$699,990</td>\n",
       "      <td>$1,389,990</td>\n",
       "      <td>$549,990</td>\n",
       "      <td>$859,990</td>\n",
       "      <td>$1,999,990</td>\n",
       "      <td>$499,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$1,499,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$229,990</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-01-05</th>\n",
       "      <td>$1,199,990</td>\n",
       "      <td>$1,349,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$949,990</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>$699,990</td>\n",
       "      <td>$1,389,990</td>\n",
       "      <td>$549,990</td>\n",
       "      <td>$859,990</td>\n",
       "      <td>$1,999,990</td>\n",
       "      <td>$499,990</td>\n",
       "      <td>$1,099,990</td>\n",
       "      <td>$1,499,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$229,990</td>\n",
       "      <td>-</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-16</th>\n",
       "      <td>-</td>\n",
       "      <td>$1,149,990</td>\n",
       "      <td>$79,990</td>\n",
       "      <td>$1,079,990</td>\n",
       "      <td>$899,990</td>\n",
       "      <td>$789,990 / $819,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$549,990 / $569,990</td>\n",
       "      <td>$1,149,990</td>\n",
       "      <td>$489,990</td>\n",
       "      <td>$689,990 / $719,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$429,990</td>\n",
       "      <td>$959,990</td>\n",
       "      <td>$1,249,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$189,990</td>\n",
       "      <td>$1,149,990</td>\n",
       "      <td>$849,990</td>\n",
       "      <td>$249,990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-17</th>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$79,990</td>\n",
       "      <td>$1,079,990</td>\n",
       "      <td>$899,990</td>\n",
       "      <td>$789,990 / $819,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$549,990 / $569,990</td>\n",
       "      <td>$1,149,990</td>\n",
       "      <td>$489,990</td>\n",
       "      <td>$689,990 / $719,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$429,990</td>\n",
       "      <td>$959,990</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$189,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$849,990</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-18</th>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$79,990</td>\n",
       "      <td>$1,079,990</td>\n",
       "      <td>$899,990</td>\n",
       "      <td>$789,990 / $819,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$549,990 / $569,990</td>\n",
       "      <td>$1,149,990</td>\n",
       "      <td>$489,990</td>\n",
       "      <td>$689,990 / $719,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$429,990</td>\n",
       "      <td>$959,990</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$189,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$849,990</td>\n",
       "      <td>$249,990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-19</th>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$79,990</td>\n",
       "      <td>$1,079,990</td>\n",
       "      <td>$899,990</td>\n",
       "      <td>$789,990 / $819,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$549,990 / $569,990</td>\n",
       "      <td>$1,149,990</td>\n",
       "      <td>$489,990</td>\n",
       "      <td>$689,990 / $719,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$429,990</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$189,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$849,990</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2023-12-20</th>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$79,990</td>\n",
       "      <td>$1,079,990</td>\n",
       "      <td>$899,990</td>\n",
       "      <td>$789,990 / $819,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$549,990 / $569,990</td>\n",
       "      <td>$1,149,990</td>\n",
       "      <td>$489,990</td>\n",
       "      <td>$689,990 / $719,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$429,990</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>-</td>\n",
       "      <td>$189,990</td>\n",
       "      <td>-</td>\n",
       "      <td>$849,990</td>\n",
       "      <td>-</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>354 rows × 20 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           Apple iPhone 14 Pro 128GB Apple iPhone 14 Pro 256GB  \\\n",
       "2023-01-01                $1,199,990                $1,349,990   \n",
       "2023-01-02                         -                $1,349,990   \n",
       "2023-01-03                         -                $1,349,990   \n",
       "2023-01-04                $1,199,990                $1,349,990   \n",
       "2023-01-05                $1,199,990                $1,349,990   \n",
       "...                              ...                       ...   \n",
       "2023-12-16                         -                $1,149,990   \n",
       "2023-12-17                         -                         -   \n",
       "2023-12-18                         -                         -   \n",
       "2023-12-19                         -                         -   \n",
       "2023-12-20                         -                         -   \n",
       "\n",
       "           Motorola Moto E22i  64GB Apple iPhone 14 Plus 256GB   \\\n",
       "2023-01-01                        -                  $1,249,990   \n",
       "2023-01-02                        -                  $1,249,990   \n",
       "2023-01-03                        -                  $1,249,990   \n",
       "2023-01-04                        -                  $1,249,990   \n",
       "2023-01-05                        -                  $1,249,990   \n",
       "...                             ...                         ...   \n",
       "2023-12-16                  $79,990                  $1,079,990   \n",
       "2023-12-17                  $79,990                  $1,079,990   \n",
       "2023-12-18                  $79,990                  $1,079,990   \n",
       "2023-12-19                  $79,990                  $1,079,990   \n",
       "2023-12-20                  $79,990                  $1,079,990   \n",
       "\n",
       "           Apple iPhone 14 256GB  Apple iPhone 14 128GB   \\\n",
       "2023-01-01             $1,099,990               $949,990   \n",
       "2023-01-02             $1,099,990               $949,990   \n",
       "2023-01-03             $1,099,990               $949,990   \n",
       "2023-01-04             $1,099,990               $949,990   \n",
       "2023-01-05             $1,099,990               $949,990   \n",
       "...                           ...                    ...   \n",
       "2023-12-16               $899,990    $789,990 / $819,990   \n",
       "2023-12-17               $899,990    $789,990 / $819,990   \n",
       "2023-12-18               $899,990    $789,990 / $819,990   \n",
       "2023-12-19               $899,990    $789,990 / $819,990   \n",
       "2023-12-20               $899,990    $789,990 / $819,990   \n",
       "\n",
       "           Samsung Galaxy Z Flip4 256GB (5G) Samsung Galaxy S22 128GB (5G)  \\\n",
       "2023-01-01                        $1,249,990                      $699,990   \n",
       "2023-01-02                        $1,249,990                      $699,990   \n",
       "2023-01-03                        $1,249,990                      $699,990   \n",
       "2023-01-04                        $1,249,990                      $699,990   \n",
       "2023-01-05                        $1,249,990                      $699,990   \n",
       "...                                      ...                           ...   \n",
       "2023-12-16                                 -           $549,990 / $569,990   \n",
       "2023-12-17                                 -           $549,990 / $569,990   \n",
       "2023-12-18                                 -           $549,990 / $569,990   \n",
       "2023-12-19                                 -           $549,990 / $569,990   \n",
       "2023-12-20                                 -           $549,990 / $569,990   \n",
       "\n",
       "           Apple iPhone 14 512GB Apple iPhone 11 128GB Apple iPhone 13 128GB  \\\n",
       "2023-01-01                     -              $549,990              $859,990   \n",
       "2023-01-02            $1,389,990              $549,990              $859,990   \n",
       "2023-01-03            $1,389,990              $549,990              $859,990   \n",
       "2023-01-04            $1,389,990              $549,990              $859,990   \n",
       "2023-01-05            $1,389,990              $549,990              $859,990   \n",
       "...                          ...                   ...                   ...   \n",
       "2023-12-16            $1,149,990              $489,990   $689,990 / $719,990   \n",
       "2023-12-17            $1,149,990              $489,990   $689,990 / $719,990   \n",
       "2023-12-18            $1,149,990              $489,990   $689,990 / $719,990   \n",
       "2023-12-19            $1,149,990              $489,990   $689,990 / $719,990   \n",
       "2023-12-20            $1,149,990              $489,990   $689,990 / $719,990   \n",
       "\n",
       "           Samsung Galaxy Z Fold4 256GB (5G) Apple iPhone 11 64GB  \\\n",
       "2023-01-01                        $1,999,990             $499,990   \n",
       "2023-01-02                        $1,999,990             $499,990   \n",
       "2023-01-03                        $1,999,990             $499,990   \n",
       "2023-01-04                        $1,999,990             $499,990   \n",
       "2023-01-05                        $1,999,990             $499,990   \n",
       "...                                      ...                  ...   \n",
       "2023-12-16                                 -             $429,990   \n",
       "2023-12-17                                 -             $429,990   \n",
       "2023-12-18                                 -             $429,990   \n",
       "2023-12-19                                 -             $429,990   \n",
       "2023-12-20                                 -             $429,990   \n",
       "\n",
       "           Apple iPhone 14 Plus 128GB  Apple iPhone 14 Pro Max 256GB   \\\n",
       "2023-01-01                  $1,099,990                     $1,499,990   \n",
       "2023-01-02                  $1,099,990                     $1,499,990   \n",
       "2023-01-03                  $1,099,990                     $1,499,990   \n",
       "2023-01-04                  $1,099,990                     $1,499,990   \n",
       "2023-01-05                  $1,099,990                     $1,499,990   \n",
       "...                                ...                            ...   \n",
       "2023-12-16                    $959,990                     $1,249,990   \n",
       "2023-12-17                    $959,990                              -   \n",
       "2023-12-18                    $959,990                              -   \n",
       "2023-12-19                           -                              -   \n",
       "2023-12-20                           -                              -   \n",
       "\n",
       "           Samsung Galaxy S22 256GB (5G) Vivo Y22s 128GB   \\\n",
       "2023-01-01                             -         $209,990   \n",
       "2023-01-02                             -         $209,990   \n",
       "2023-01-03                             -         $209,990   \n",
       "2023-01-04                             -         $229,990   \n",
       "2023-01-05                             -         $229,990   \n",
       "...                                  ...              ...   \n",
       "2023-12-16                             -         $189,990   \n",
       "2023-12-17                             -         $189,990   \n",
       "2023-12-18                             -         $189,990   \n",
       "2023-12-19                             -         $189,990   \n",
       "2023-12-20                             -         $189,990   \n",
       "\n",
       "           Apple iPhone 14 Pro Max 128GB  Samsung Galaxy S23 256GB  \\\n",
       "2023-01-01                              -                      NaN   \n",
       "2023-01-02                              -                      NaN   \n",
       "2023-01-03                              -                      NaN   \n",
       "2023-01-04                              -                      NaN   \n",
       "2023-01-05                              -                      NaN   \n",
       "...                                   ...                      ...   \n",
       "2023-12-16                     $1,149,990                 $849,990   \n",
       "2023-12-17                              -                 $849,990   \n",
       "2023-12-18                              -                 $849,990   \n",
       "2023-12-19                              -                 $849,990   \n",
       "2023-12-20                              -                 $849,990   \n",
       "\n",
       "           Samsung Galaxy A23 128GB (5G)  \n",
       "2023-01-01                             -  \n",
       "2023-01-02                             -  \n",
       "2023-01-03                             -  \n",
       "2023-01-04                             -  \n",
       "2023-01-05                             -  \n",
       "...                                  ...  \n",
       "2023-12-16                      $249,990  \n",
       "2023-12-17                             -  \n",
       "2023-12-18                      $249,990  \n",
       "2023-12-19                             -  \n",
       "2023-12-20                             -  \n",
       "\n",
       "[354 rows x 20 columns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_company2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f650bcf",
   "metadata": {},
   "source": [
    "## normalize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c68e594f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a27bc240",
   "metadata": {},
   "outputs": [],
   "source": [
    "def normalize_time_serie_MinMax(df):\n",
    "    df = df.replace('-', np.nan)\n",
    "    df = df.replace('[\\$,]', '', regex=True).astype(float)\n",
    "    df = df.fillna(df.mean())\n",
    "    df_minmax = (df - df.min()) / (df.max() - df.min())\n",
    "    return df_minmax\n",
    "def normalize_time_serie_Zscore(df):\n",
    "    df = df.replace('-', np.nan)\n",
    "    df = df.replace('[\\$,]', '', regex=True).astype(float)\n",
    "    df = df.fillna(df.mean())\n",
    "    df_zscore = stats.zscore(df)\n",
    "    return df_zscore\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b63fc39f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "e60a1ff2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_dataserie(df_company1,df_company2,company1,company2,product):\n",
    "    \n",
    "    data_series=pd.DataFrame(columns=[company1, company2])\n",
    "    data_series[company1]=df_company1[product]\n",
    "    data_series[company2]=df_company2[product]\n",
    "    data_series = data_series[(data_series != '-').all(axis=1)].dropna()\n",
    "    \n",
    "    data_series[company1] = data_series[company1].replace('[,]', '', regex=True)\n",
    "    data_series[company2] = data_series[company2].replace('[,]', '', regex=True)\n",
    "    \n",
    "    data_series[company1] = data_series[company1].replace('[\\$,]', '', regex=True).astype(float)/1000\n",
    "    data_series[company2] = data_series[company2].replace('[\\$,]', '', regex=True).apply(lambda x: float(x.split('/')[0]) if '/' in str(x) else x).astype(float)/1000\n",
    "    data_series_normalize=normalize_time_serie_Zscore(data_series)\n",
    "    \n",
    "    return data_series_normalize"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a955551",
   "metadata": {},
   "source": [
    "# Cross Correlation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "996ff3ac",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "7b2d4645",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "def plot_time_series(d1,d2, filename):\n",
    "    fig, ax = plt.subplots(figsize=(20, 10))\n",
    "    ax.plot( d1, label=\"x(t)\", color='blue')\n",
    "    ax.plot( d2, label=\"y(t)\", color='red')\n",
    "    \n",
    "    ax.set_title('Time series company 1 x(t) vs Time series company 2 y(t)', weight='bold', fontsize=20)\n",
    "    ax.set_ylabel('Price normalised', weight='bold', fontsize=15)\n",
    "    ax.set_xlabel('Time', weight='bold', fontsize=15)\n",
    "    ax.legend([company1, company2], fontsize=15)\n",
    "\n",
    "    # Ajusta o formato das datas no eixo x\n",
    "    ax.xaxis.set_major_locator(mdates.MonthLocator())\n",
    "    \n",
    "    plt.xticks(rotation=45, ha='right')  # Ajusta a inclinação das datas\n",
    "    \n",
    "    plt.margins(0.1)\n",
    "    \n",
    "    \n",
    "    plt.savefig(filename, bbox_inches='tight')\n",
    "    plt.show()\n",
    "    plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "8651e681",
   "metadata": {},
   "outputs": [],
   "source": [
    "def crosscorr(datax, datay, lag=0, wrap=False):\n",
    "    \"\"\" Lag-N cross correlation. \n",
    "    Shifted data filled with NaNs \n",
    "    \n",
    "    Parameters\n",
    "    ----------\n",
    "    lag : int, default 0\n",
    "    datax, datay : pandas.Series objects of equal length\n",
    "    Returns\n",
    "    ----------\n",
    "    crosscorr : float\n",
    "    \"\"\"\n",
    "    if wrap:\n",
    "        shiftedy = datay.shift(lag)\n",
    "        shiftedy.iloc[:lag] = datay.iloc[-lag:].values\n",
    "        return datax.corr(shiftedy)\n",
    "    else: \n",
    "        return datax.corr(datay.shift(lag))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "4973ffb3",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_crosscorr(d1,d2,filename,lag=0):\n",
    "    \n",
    "    seconds = 5\n",
    "    fps = 30\n",
    "    rs = [crosscorr(d1,d2, lag) for lag in range(-int(seconds*fps),int(seconds*fps+1))]\n",
    "    offset = np.floor(len(rs)/2)-np.argmax(rs)\n",
    "    f,ax=plt.subplots(figsize=(14,3))\n",
    "    ax.plot(rs)\n",
    "    ax.axvline(np.ceil(len(rs)/2),color='k',linestyle='--',label='Center')\n",
    "    ax.axvline(np.argmax(rs),color='r',linestyle='--',label='Peak synchrony')\n",
    "\n",
    "\n",
    "    ax.set_title('Cross Correation Company1 and Company2', weight='bold', fontsize = 15)\n",
    "    ax.set_ylabel('Correlation Coefficients', weight='bold', fontsize = 12)\n",
    "    ax.set_xlabel('Time Lags', weight='bold', fontsize = 12)\n",
    "\n",
    "    ax.set_xticks([0, 50, 100, 151, 201, 251, 301])\n",
    "    ax.set_xticklabels([-200, -100, -50, 0, 50, 100, 200]);\n",
    "    plt.legend()\n",
    "\n",
    "    # Adiciona a saída como uma anotação no gráfico\n",
    "    ax.text(1.05, 0.5, f'Offset= {offset} frames\\nS1 leads <> S2 leads', transform=ax.transAxes, fontsize=12,\n",
    "            verticalalignment='center', bbox=dict(boxstyle='round', facecolor='wheat', alpha=0.5))\n",
    "\n",
    "    plt.margins(0.1)\n",
    "    plt.show()\n",
    "    plt.savefig(filename, bbox_inches='tight')\n",
    "    \n",
    "    plt.close()\n",
    "    return  offset\n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "326ec544",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "def crosscorrelation_different_lags(s1_centred,s2_centred, product, lagMin,lagMax):  \n",
    "    \n",
    "    \n",
    "    cc = []\n",
    "    for lags in range(lagMin, lagMax+1):\n",
    "        correlation = s1_centred.corr(s2_centred.shift(lags))\n",
    "        cc.append([correlation])\n",
    "    df_cc = pd.DataFrame(cc, columns=[product], index=range(lagMin, lagMax+1))\n",
    "    return df_cc\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "87501749",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "b5f3a877",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mariangelapetruzzi/opt/anaconda3/lib/python3.9/site-packages/numpy/lib/function_base.py:2829: RuntimeWarning: invalid value encountered in true_divide\n",
      "  c /= stddev[:, None]\n",
      "/Users/mariangelapetruzzi/opt/anaconda3/lib/python3.9/site-packages/numpy/lib/function_base.py:2830: RuntimeWarning: invalid value encountered in true_divide\n",
      "  c /= stddev[None, :]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "company1 = 'Wom / Loyalty'\n",
    "company2 = 'Falabella / Loyalty'\n",
    "\n",
    "product='Apple iPhone 14 Plus 128GB '\n",
    "data_serie=create_dataserie(df_company1, df_company2, company1, company2, product) \n",
    "s1 = data_serie[company1].dropna()\n",
    "s2 = data_serie[company2].dropna()\n",
    "s1_centred=s1-s1.mean()\n",
    "s2_centred=s2-s2.mean()\n",
    "\n",
    "df_cc=crosscorrelation_different_lags(s1_centred,s2_centred, product, -10,10)\n",
    "plot_time_series(s1_centred,s2_centred,\"Exemplos/Exemplo-processed data 2 companys for 1 product/plot_timeserie_Wom_Falabella\"+\"_\"+product+\".png\")\n",
    "offset=plot_crosscorr(s1_centred,s2_centred,\"Exemplos/Exemplo-processed data 2 companys for 1 product/plot_crossc_Wom_Falabella_\"+product+\".png\",0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0e7e85d3",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "c669deb4",
   "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>Apple iPhone 14 Plus 128GB</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>-10</th>\n",
       "      <td>0.397312</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-9</th>\n",
       "      <td>0.404879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-8</th>\n",
       "      <td>0.412332</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-7</th>\n",
       "      <td>0.419678</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-6</th>\n",
       "      <td>0.431465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-5</th>\n",
       "      <td>0.443074</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-4</th>\n",
       "      <td>0.450789</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-3</th>\n",
       "      <td>0.458401</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-2</th>\n",
       "      <td>0.465916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-1</th>\n",
       "      <td>0.473336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.480665</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.471786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.473786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.475851</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.477982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.480182</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.488923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.497683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.484191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.466973</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.449738</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     Apple iPhone 14 Plus 128GB \n",
       "-10                     0.397312\n",
       "-9                      0.404879\n",
       "-8                      0.412332\n",
       "-7                      0.419678\n",
       "-6                      0.431465\n",
       "-5                      0.443074\n",
       "-4                      0.450789\n",
       "-3                      0.458401\n",
       "-2                      0.465916\n",
       "-1                      0.473336\n",
       "0                       0.480665\n",
       "1                       0.471786\n",
       "2                       0.473786\n",
       "3                       0.475851\n",
       "4                       0.477982\n",
       "5                       0.480182\n",
       "6                       0.488923\n",
       "7                       0.497683\n",
       "8                       0.484191\n",
       "9                       0.466973\n",
       "10                      0.449738"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_cc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "19699f81",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0712a909",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "3f07b969",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(15, 5))\n",
    "heatmap_pos = sns.heatmap(df_cc.T, cmap='RdPu', annot=True, fmt=\".2f\", cbar_kws={'label': 'Crosscorr'})\n",
    "plt.title('Values of cross correlation for different lags')\n",
    "plt.xlabel('Lags')\n",
    "plt.ylabel('Product')\n",
    "plt.show()\n",
    "plt.savefig(\"Exemplos/Exemplo-processed data 2 companys for 1 product/heatmap_all_values_crosscorr_Wom_Falabella\"+product+\".png\", bbox_inches='tight')\n",
    "plt.close()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5ba21f51",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a6fc28c4",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "471c5855",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0da91d4b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "b0ca09a3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Higher correlation for positive lag: 0.498 no lag: 7\n",
      "Higher correlation for negative lag: 0.473 no lag: -1\n",
      "Correlation for zero lag: 0.481 no lag: 0\n"
     ]
    },
    {
     "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>lag_neg</th>\n",
       "      <th>lag_zero</th>\n",
       "      <th>lag_pos</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Apple iPhone 14 Plus 128GB</th>\n",
       "      <td>0.47</td>\n",
       "      <td>0.48</td>\n",
       "      <td>0.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             lag_neg  lag_zero  lag_pos\n",
       "Apple iPhone 14 Plus 128GB      0.47      0.48      0.5"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "cc_pos_lag = None\n",
    "cc_neg_lag = None\n",
    "cc_zero_lag = None\n",
    "\n",
    "\n",
    "for lag, correlation in df_cc.iterrows():\n",
    "    if lag > 0:\n",
    "        if cc_pos_lag is None or correlation.values[0] > cc_pos_lag[0]:\n",
    "            cc_pos_lag = (correlation.values[0], lag)  \n",
    "    elif lag < 0:\n",
    "        if cc_neg_lag is None or correlation.values[0] > cc_neg_lag[0]:\n",
    "            cc_neg_lag = (correlation.values[0], lag)  \n",
    "    else:\n",
    "        cc_zero_lag = (correlation.values[0], lag)   \n",
    "\n",
    "\n",
    "\n",
    "print(\"Higher correlation for positive lag:\", round(cc_pos_lag[0], 3), \"no lag:\", cc_pos_lag[1])\n",
    "print(\"Higher correlation for negative lag:\", round(cc_neg_lag[0], 3), \"no lag:\", cc_neg_lag[1])\n",
    "print(\"Correlation for zero lag:\", round(cc_zero_lag[0], 3), \"no lag:\", cc_zero_lag[1])\n",
    "\n",
    "\n",
    "cc_values = {'lag_neg': [], 'lag_zero': [], 'lag_pos': []}\n",
    "cc_values['lag_neg'] = round(cc_neg_lag[0], 2) if cc_neg_lag is not None else None\n",
    "cc_values['lag_zero'] = round(cc_zero_lag[0], 2) if cc_zero_lag is not None else None\n",
    "cc_values['lag_pos'] = round(cc_pos_lag[0], 2) if cc_pos_lag is not None else None\n",
    "\n",
    "\n",
    "df_cc_values = pd.DataFrame(cc_values, index=[product])  \n",
    "df_cc_values\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "df71c63c",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8f228619",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "de8d4007",
   "metadata": {},
   "source": [
    "# Dynamic time warping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "93da36a2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "f2d59d6f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_warping_with_dates(s1, s2, filename):\n",
    "    path = dtw.warping_path(s1,s2)\n",
    "    \n",
    "    dtwvis.plot_warping(s1,s2, path)\n",
    "\n",
    "    \n",
    "    return path\n",
    "\n",
    "def warping_paths(s1_numeric,s2_numeric,filename):\n",
    "\n",
    "    random.seed(1)\n",
    "    for idx in range(len(s2_numeric)):\n",
    "        if random.random() < 0.05:\n",
    "            s2_numeric[idx] += (random.random() - 0.5) / 2\n",
    "\n",
    "    d, paths = dtw.warping_paths(s1_numeric, s2_numeric, window=25, psi=2)\n",
    "    best_path = dtw.best_path(paths)\n",
    "\n",
    "    dtwvis.plot_warpingpaths(s1_numeric, s2_numeric, paths, best_path)\n",
    "    plt.show() \n",
    "\n",
    "    plt.close()\n",
    "    return d, best_path\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "6c29fd79",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_warping_percent( path, product):\n",
    "    percentages = {'lag_neg': [], 'lag_zero': [], 'lag_pos': []} # Dicionário para armazenar as porcentagens\n",
    "    count_neg = count_zero = count_pos = 0\n",
    "    \n",
    "    for i, j in path:\n",
    "        difference = i - j\n",
    "        if difference < 0:\n",
    "            count_neg += 1\n",
    "        elif difference == 0:\n",
    "            count_zero += 1\n",
    "        else:\n",
    "            count_pos += 1\n",
    "\n",
    "    total = len(path)\n",
    "    percentages['lag_neg'] = (count_neg / total )*100\n",
    "    percentages['lag_zero'] = (count_zero / total)*100\n",
    "    percentages['lag_pos'] = (count_pos / total)*100\n",
    "\n",
    "    df_percentages = pd.DataFrame(percentages, index=[product])\n",
    "\n",
    "    return df_percentages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "0a14f654",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def calculate_warping_percent_best_path(best_path, product):\n",
    "    \n",
    "    percentages = {'lag_neg': [], 'lag_zero': [], 'lag_pos': []} \n",
    "    count_neg = count_zero = count_pos = 0\n",
    "    differences = [point[1] - point[0] for point in best_path]\n",
    "    \n",
    "\n",
    "    for diff in differences:\n",
    "        if diff > 0:\n",
    "            count_pos += 1\n",
    "        elif diff < 0:\n",
    "            count_neg += 1\n",
    "        else:\n",
    "            count_zero += 1\n",
    "\n",
    "\n",
    "    total = len(best_path)\n",
    "    percentages['lag_neg'] = (count_neg / total )*100\n",
    "    percentages['lag_zero'] = (count_zero / total)*100\n",
    "    percentages['lag_pos'] = (count_pos / total)*100\n",
    "    \n",
    "    percentages['count_lag_neg'] = count_neg \n",
    "    percentages['count_lag_zero'] = count_zero \n",
    "    percentages['count_lag_pos'] = count_pos \n",
    "    percentages['count_total'] = total\n",
    "    \n",
    "   \n",
    "    df_percentages = pd.DataFrame(percentages, index=[product])\n",
    "\n",
    "    return df_percentages, differences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0b49efe9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fe2e9a8b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "1401ffb0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "company1 = 'Wom / Loyalty'\n",
    "company2 = 'Falabella / Loyalty'\n",
    "\n",
    "product='Apple iPhone 14 Plus 128GB '\n",
    "data_serie=create_dataserie(df_company1, df_company2, company1, company2, product)\n",
    "    \n",
    "s1=data_serie[company1].astype(float).tolist()\n",
    "s2=data_serie[company2].astype(float).tolist()\n",
    "\n",
    "path = plot_warping_with_dates(s1, s2, filename=\"Exemplos/Exemplo-processed data 2 companys for 1 product/warp_Wom_Falabella\"+product+\".png\")\n",
    "\n",
    "    \n",
    "s1_numeric = data_serie[company1].astype(float).to_numpy()\n",
    "s2_numeric = data_serie[company2].astype(float).to_numpy()\n",
    "d, best_path=warping_paths(s1_numeric,s2_numeric, \"Exemplos/Exemplo-processed data 2 companys for 1 product/warping_paths_example_Wom_Falabella\"+product+\".png\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "2f3fd679",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "x_values = [point[0] for point in best_path]\n",
    "y_values = [point[1] for point in best_path]\n",
    "\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(x_values, y_values, color='blue', label='Best Path')\n",
    "plt.plot(x_values, y_values, color='blue', linestyle='-')\n",
    "\n",
    "\n",
    "plt.plot(x_values, x_values, color='red', linestyle='--', label='Regression Line y = x')\n",
    "\n",
    "plt.title('Best Path with Regression Line')\n",
    "plt.xlabel('S1')\n",
    "plt.ylabel('S2')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "791225ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_percentages_path=calculate_warping_percent( path, product)\n",
    "df_percentages_best_path=calculate_warping_percent_best_path(best_path, product)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "241a3a37",
   "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>lag_neg</th>\n",
       "      <th>lag_zero</th>\n",
       "      <th>lag_pos</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Apple iPhone 14 Plus 128GB</th>\n",
       "      <td>48.837209</td>\n",
       "      <td>40.826873</td>\n",
       "      <td>10.335917</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               lag_neg   lag_zero    lag_pos\n",
       "Apple iPhone 14 Plus 128GB   48.837209  40.826873  10.335917"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_percentages_path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "abc50cf1",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_percentages_best_path,dif = calculate_warping_percent_best_path(best_path, product)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "a8f50d49",
   "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>lag_neg</th>\n",
       "      <th>lag_zero</th>\n",
       "      <th>lag_pos</th>\n",
       "      <th>count_lag_neg</th>\n",
       "      <th>count_lag_zero</th>\n",
       "      <th>count_lag_pos</th>\n",
       "      <th>count_total</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Apple iPhone 14 Plus 128GB</th>\n",
       "      <td>62.461538</td>\n",
       "      <td>16.923077</td>\n",
       "      <td>20.615385</td>\n",
       "      <td>203</td>\n",
       "      <td>55</td>\n",
       "      <td>67</td>\n",
       "      <td>325</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                               lag_neg   lag_zero    lag_pos  count_lag_neg  \\\n",
       "Apple iPhone 14 Plus 128GB   62.461538  16.923077  20.615385            203   \n",
       "\n",
       "                             count_lag_zero  count_lag_pos  count_total  \n",
       "Apple iPhone 14 Plus 128GB               55             67          325  "
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_percentages_best_path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ba16a679",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "    }\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>Percentage</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Difference</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>16.923077</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.307692</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2.461538</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>4.923077</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-2</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-7</th>\n",
       "      <td>11.384615</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-6</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-5</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-4</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-3</th>\n",
       "      <td>0.615385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>-1</th>\n",
       "      <td>48.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Percentage\n",
       "Difference            \n",
       " 0           16.923077\n",
       " 1            0.307692\n",
       " 2            0.615385\n",
       " 3            0.615385\n",
       " 4            0.615385\n",
       " 5            0.615385\n",
       " 6            0.615385\n",
       " 7            0.615385\n",
       " 8            0.615385\n",
       " 9            0.615385\n",
       " 10           0.615385\n",
       " 11           0.615385\n",
       " 12           0.615385\n",
       " 13           0.615385\n",
       " 14           0.615385\n",
       " 15           0.615385\n",
       " 16           0.615385\n",
       " 17           0.615385\n",
       " 18           0.615385\n",
       " 19           0.615385\n",
       " 20           2.461538\n",
       " 21           0.615385\n",
       " 22           0.615385\n",
       " 23           0.615385\n",
       " 24           4.923077\n",
       "-2            0.615385\n",
       "-7           11.384615\n",
       "-6            0.615385\n",
       "-5            0.615385\n",
       "-4            0.615385\n",
       "-3            0.615385\n",
       "-1           48.000000"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "total = len(best_path)\n",
    "\n",
    "dif_percentages = {'Difference': [], 'Percentage': []}\n",
    "\n",
    "unique_diffs = set(dif)\n",
    "for diff in unique_diffs:\n",
    "    \n",
    "    percent_diff = dif.count(diff) / total * 100\n",
    "    dif_percentages['Difference'].append(diff)\n",
    "    dif_percentages['Percentage'].append(percent_diff)\n",
    "\n",
    "df_dif_percentages = pd.DataFrame(dif_percentages)\n",
    "    \n",
    "df_dif_percentages=df_dif_percentages.set_index(\"Difference\")\n",
    "df_dif_percentages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e0102fe8",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "a6cd54ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "heatmap = sns.heatmap(df_percentages_path, cmap='Greens', annot=True, fmt=\".2f\", cbar_kws={'label': 'Percent%'})\n",
    "plt.title('Percent of Values for different lags (Based on Path)')\n",
    "plt.xlabel('Percent of values ')\n",
    "plt.ylabel('Product')\n",
    "plt.savefig(\"Exemplos/Exemplo-processed data 2 companys for 1 product/heatmap_dtw_Wom_Falabella\"+product+\".png\", bbox_inches='tight')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "049f6980",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "\n",
    "df_selected_dtw_best_path = df_percentages_best_path[['lag_neg', 'lag_zero', 'lag_pos']]\n",
    "\n",
    "heatmap_pos = sns.heatmap(df_selected_dtw_best_path, cmap='Purples', annot=True, fmt=\".2f\", cbar_kws={'label': 'Percent %'})\n",
    "plt.title('Percent of Values for different lags (Based on Best Path)')\n",
    "plt.xlabel('Percent of values in lag ')\n",
    "plt.ylabel('Product')\n",
    "\n",
    "plt.savefig(\"Exemplos/Exemplo-processed data 2 companys for 1 product/heatmap_dtw_Wom_Falabella\"+product+\".png\", bbox_inches='tight')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "3d84d12a",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x1080 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20, 15))\n",
    "sns.heatmap(df_dif_percentages, cmap=\"Greens\", annot=True, fmt=\".2f\", cbar_kws={'label': 'Percent %'})\n",
    "plt.title('Percent of Occurrence of Differences')\n",
    "plt.xlabel('Percent')\n",
    "\n",
    "plt.ylabel('differences')\n",
    "plt.savefig(\"img_tese_cp3_dtw/dtw3-4.png\", bbox_inches='tight')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "09e28497",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1440x1080 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(20, 15))  # Aumenta o tamanho do gráfico\n",
    "df_dif_percentages.plot(kind='bar', color='purple')  # Altera a cor para roxo\n",
    "plt.title('Percent of Occurrence of Differences')\n",
    "plt.xlabel('Differences')\n",
    "plt.ylabel('Percent %')\n",
    "plt.savefig(\"img_tese_cp3_dtw/dtw3-4.png\", bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b44ba620",
   "metadata": {},
   "source": [
    "# Intantaneous phase synchrony"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "b6fe4f0f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def butter_bandpass(lowcut, highcut, fs, order=5):\n",
    "    nyq = 0.5 * fs\n",
    "    low = lowcut / nyq\n",
    "    high = highcut / nyq\n",
    "    b, a = butter(order, [low, high], btype='band')\n",
    "    return b, a\n",
    "\n",
    "\n",
    "def butter_bandpass_filter(data, lowcut, highcut, fs, order=5):\n",
    "    b, a = butter_bandpass(lowcut, highcut, fs, order=order)\n",
    "    y = filtfilt(b, a, data)\n",
    "    return y\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "3a981b5c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def inst_phase_synchrony(s1,s2,filename):\n",
    "    lowcut  = .01\n",
    "    highcut = .5\n",
    "    fs = 30.\n",
    "    order = 1\n",
    "    d1 = s1\n",
    "    d2 = s2\n",
    "\n",
    "    min_length = min(len(d1), len(d2))\n",
    "    d1 = d1[:min_length]\n",
    "    d2 = d2[:min_length]\n",
    "\n",
    "    y1 = butter_bandpass_filter(d1,lowcut=lowcut,highcut=highcut,fs=fs,order=order)\n",
    "    y2 = butter_bandpass_filter(d2,lowcut=lowcut,highcut=highcut,fs=fs,order=order)\n",
    "\n",
    "    al1 = np.angle(hilbert(y1),deg=False)\n",
    "    al2 = np.angle(hilbert(y2),deg=False)\n",
    "    phase_synchrony = 1-np.sin(np.abs(al1-al2)/2)\n",
    "    N = len(al1)\n",
    "    \n",
    "    # Plot results\n",
    "    f,ax = plt.subplots(3,1,figsize=(14,7),sharex=True)\n",
    "    ax[0].plot(y1,color='r',label='Company Wow')\n",
    "    ax[0].plot(y2,color='b',label='Company Falabella')\n",
    "    ax[0].legend(bbox_to_anchor=(0., 1.02, 1., .102),ncol=2)\n",
    "    ax[0].set(xlim=[0,N], title='Filtered Timeseries Data')\n",
    "    ax[1].plot(al1,color='r')\n",
    "    ax[1].plot(al2,color='b')\n",
    "    ax[1].set(ylabel='Angle',title='Angle at each Timepoint',xlim=[0,N])\n",
    "    phase_synchrony = 1-np.sin(np.abs(al1-al2)/2)\n",
    "    ax[2].plot(phase_synchrony)\n",
    "    ax[2].set(ylim=[0,1.1],xlim=[0,N],title='Instantaneous Phase Synchrony',xlabel='Time',ylabel='Phase Synchrony')\n",
    "    plt.tight_layout()\n",
    "    plt.savefig(filename, bbox_inches='tight')\n",
    "    plt.show()\n",
    "    plt.close()\n",
    "    return al1,al2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "1a7abd76",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2sW7dOl5//XWaNm0KwP3334/VaiUuLo66deuiKAobNmxg1apV1K9fnxtvvLHQz52cnOwd/M3tdpOcnMzOnTtZs2YNTqeTTp068dlnn+UaIb5mzZrccsstzJo1i549e9KnTx9SUlJYtGgRAQEBtG7dmq1bt+Z6ns6dOxMSEsLs2bOxWq3Url0bRVEYNmwYdevWZfTo0Tz++OP07t2bQYMGYTabWbNmDbt37+b666/nt99+u6T3WAghRPFJABdCCFEufPzxxzz33HOsXLmSP/74A03TGDdunHeE8SFDhtCqVSv++9//smTJEm9AiYqK4pprrmHw4MFFer7o6GgWLVrEZ599xs8//8ysWbNwOp1ERkbSuHFj3nzzTXr06OHdXlEUpk+fzjvvvMM333zDZ599Rs2aNbnjjjv497//ne8a0hVRr169WLFiBR988AF//fUXa9euxWw2U7NmTTp16sRLL73k7Wfdvn17nnzySZYvX86iRYtITEykWrVqNG3alDfeeCNfcC3Kvi9FaGgov/76K1999RU//PADv/76K1lZWdSoUYO6devy4osv5irbyy+/zN9//83WrVv566+/MJvN1K5dm3HjxvHQQw8RHh5e6OdOSUlhwoQJgDFyeWhoKHXr1uXOO+9k8ODB9O7d23v5tpymTJlC/fr1mT17NlOnTqV69er069ePZ599lrvvvjvf9lWqVGHmzJkcPHgQp9PprTm32+0kJydz88030759e/bs2UNaWhomk4levXrRunVrjhw5wlVXXUVUVJS3i4AQQoiiCQ4O9rbyKiolKSkpf7s7IYQQQghRLrlcLlJTUwkPDy/SIHVCCCEuna7rJCUlERoaWqwQLn3AhRBCCCEqkPT0dAnfQghRRhRFITw83OelMwtDArgQQgghRAUj4VsIIcrOpXwGSwAXQgghhBBCCCH8QAK4EEIIIYQQQgjhBxLAhRBCCCGEEEKUqmXLlhEeHs7Zs2cL/ZgBAwbw1FNPXdLzxsfHEx4ezsaNG33e9zcJ4EIIIYQQwi9OnTrFuHHjaNeuHZGRkbRo0YIhQ4awcOHCsi5amfniiy+IiYnB4XB4lzkcDqKjo+nWrVuubffv3094eDhLlizxdzErHTlWfRs1ahTh4eH5pi1btpR10SoMuQ64EEIIIYQodfHx8Vx//fWEhITw0ksv0apVKzRNY8mSJTzxxBNs27atrItYJnr16kVGRgYbNmwgLi4OgPXr1xMWFsa+ffs4c+YM1atXB2D58uXYbDa6dOlSlkW+7MmxemFXXnkln3zySa5lERERZVSaikdqwIUoIXv37i3rIohKRI434U9yvImSMHbsWHRdZ9GiRdx00000adKEZs2aMXLkSJYvX+7dbt++fdx5553Url2b2rVrc9ddd3Hs2DHv+vHjxxMXF8c333xD69atqVWrFqNHj8bhcDB16lRatmxJgwYNePbZZ9E0zfu41q1bM378eEaOHEmtWrVo2rQpU6ZMyVXGDz74gG7duhETE0OLFi145JFHSEpK8q6fMWMGtWrVYsmSJcTFxRETE8PAgQM5dOgQYAS3atWq5WvaOn36dBo2bJirltujcePGREdHs2zZMu+yZcuW0bt3b9q3b5/rvVm2bBmdOnUiICAAu93O008/TZMmTahZsybXXHMNq1at8m579dVX8+6773rvP/jgg4SHh3Py5EkAMjIyqFGjBqtXr77Qn+2yl5WVlW9ZYY/VI0eOVKpj1cNms1GzZs1ck9lsvmiZ8jp37hz3338/sbGxREVF0bVrV77++ut827lcLsaNG0e9evWoV68eL7zwQq73y+Fw8NJLLxEbG0tMTAx9+vThr7/+KvB583K73Tz88MO0adOGqKgorrjiCt57771cz1GSKkUAHzs2gAkTbHzxhZVffjGzZo2JI0cUXK6yLpkQQgghRMmoEh7u16koEhMT+fPPP3nwwQcJCQnJtz78/P50XWfEiBGcPn2aX375hblz53LixAnuvPNOdF33bn/48GHmz5/Pd999x5dffsnPP//MHXfcwT///MPs2bN5//33+fTTT5k7d26u5/nwww9p2rQpS5Ys4ZlnnuGVV17hl19+8a5XVZXx48ezatUqPvvsMzZs2MC///3vXPuw2+28/fbbfPDBByxcuJDk5GSeeOIJAOrVq8eVV16ZL0R8/fXXDBs2DKvV6vP96dmzZ74A3qNHD3r06JFr+fLly+nZsycAL774InPmzOGDDz5g6dKlxMbGMmTIEE6cOAGQ77ErVqwgIiLCGyDXrFmDxWKhQ4cOPstUmsLDq/h1KoqiHKt33nlnpTtWL6QwZcopKyuLtm3b8u2337J69Wr+7//+j8cffzxfF4sffvgBTdP4448/ePfdd5k+fToffvihd/2YMWNYsWIFn332GStXruT222/ntttuY+vWrYUqt6ZpREdH87///Y81a9bwwgsvMHnyZJ8nA0pCpWiCPnWqzedyVdWJitKpVUs7P+k0aKDRqJFGw4ZuatfWMZn8XFghhBBCiMvMgQMH0HWdpk2bXnC7xYsXs337djZu3Ei9evUAmDp1Ku3bt2fJkiVceeWVgFFj9d///pcqVaoQGxvL1VdfzYoVK9i5cydWq5VmzZrRpUsXli9fzuDBg73779ChA2PHjgWMmud//vmHDz/8kEGDBgEwevRo77b16tXjlVde4Y477uDjjz9GVY16K5fLxaRJk2jSpAkAjzzyCGPGjEHTNFRV5d577+Vf//oXr7/+OgEBAezevZt169bx3nvvFfi6e/Towb///W/sdju6rrN+/XqmTJlC7dq1efrppwHYs2cPJ06coFevXqSnp/PFF1/w/vvv07dvXwDeeecdli5dytSpU3n++efp0aMHU6dOxeVyER8fT0pKCg899BDLli3jlltuYfny5XTu3BmLxVLov2NlUJRjddu2bZXuWAX4888/qVWrlvd+XFwcP/74Y6HKlFNMTAz/+te/vPeHDx/O0qVL+fHHH+ndu7d3ec2aNZk4cSKKotC0aVP27dvHhx9+yMMPP8zBgwf58ccf2bJlC3Xq1AFg5MiRLF68mP/9739Mnjz5gq8FwGKx8Nxzz+Uq++bNm5k1axb33HPPRR9fVJUigBdE0xSOH1c4flxl3br8661WI5A3bKjRvLmbli01WrVy07ixhrlSv3NCCCGEEIWXs0bwQnbv3k1UVJQ30ADUr1+f6Ohodu3a5Q01tWvXpkqV7JrNyMhIGjdunKvWLjIyktOnT+faf6dOnfLdz1nzuGTJEt555x327NlDSkoKbrcbh8PByZMniY6OBozmt55AAxAVFYXT6SQ5OZmqVavSv39/xo4dy9y5cxk6dChff/01HTp0IDY2tsDX3atXL7Kysli7di26rhMREUGDBg2IjIzk4MGDnDx5kmXLlhEUFETHjh3ZvXs3TqeTrl27evdhMpno3Lkzu3btAoxQZLfb+eeff9i5cydxcXH07t3bWwO6fPlyrr322gv/QSqhohyr0dHRle5YBejWrVuukB4QEFDoMuXkdrt55513mD17NgkJCTgcDhwOBz169Mi1XceOHVEUxXu/c+fOvP7666SkpLB582Z0Xc/1vwBG7X+vXr0u+Dpy+uKLL/jyyy85cuQIWVlZOJ1Ob6AvaRIjL8DhUNi928Tu3SYWLMg+OxgQoNO8uZtWrTRat3bToYOb1q3d2HxXtAshhBBCVGqNGjVCURT27Nlzwe10Xc/1QzunnMvz1toqioI5T+2Ioii43e5Cl/Hw4cMMGzaMe+65h2effZZq1aqxefNm7r///lz9YX09D+DtL2qxWLjtttv4+uuvuemmm/juu+949tlnL/jc9evXp06dOixfvhxd1+nevTsAwcHBtGvXjuXLl7N8+XK6du2KxWLxhkRf75VnWUhICG3btmXZsmXs2rWLnj170rlzZ44cOcL+/fv5559/+M9//lPo96eykGP1wscqQFBQEA0bNixWmXKaMmUKH3zwAW+++SaxsbGEhITwyiuv5DsZcSGapqEoCn///Xe+99pzYuBiZs+ezTPPPMOrr75K586dCQsL47PPPuPXX38tdDmKolIE8DfeyOTMGYXTp1VOnVI4cULl+HHjfnFkZSls2mRm06bsZRaL7g3jV1xhzBs31vDR2kIIIYQQosQlX2Cwo7JWtWpVrr76aj777DMeeuihfH1rk5KSCA8Pp3nz5iQkJBAfH++tWTx06BAJCQk0b978ksuxfv36fPebNWsGwMaNG3E4HIwfPx7T+T6Iv/32W7Ge595776Vz585MnTqVtLQ0br755os+xtMPXNd1br/9du/yHj16sHTpUpYvX86YMWMAaNiwIVarlVWrVlG/fn3AqE1cu3YtQ4YMyfXYZcuWsWfPHkaNGkVAQAAdOnRg0qRJZdb/GyApKblMnrcwinKsHj9+vFIeq74Up0yrVq3i+uuv57bbbgOMkxr79u3L1WIAYMOGDblOeKxbt47o6GjCwsJo06YNuq5z8uTJItV45y1Hhw4dGDlypHfZwYMHi7WvwqgUAXz0aN9nXbKyICFB5ehRoxn64cMq+/erHDhgzM+eLXx6djoV/vnHzD//ZL+lYWE67du7ueIKF02aaDRubDRnj4jQKeCEmRBCCCHEZWnSpEn07duXPn368Nxzz9GyZUt0XWfZsmW88847bNu2jSuvvJKWLVsycuRIJkyYgK7r/Pvf/6Zt27bF/nGd0/r163n77bcZPHgwy5cv59tvv+Wzzz4DjJpPTdP48MMPueGGG1i/fj0ff/xxsZ6ncePGdO3alRdffJGbb76ZsLCwiz6mZ8+e/PjjjwC5Bpjq3r07I0aMIDU11TsAW3BwMPfddx//+c9/iIiIoF69enz44YecPn2aBx54wPvYHj168MEHHxAcHEzbtm29yyZPnkzPnj2l/3cBCnustmrVqlIeq74Up0yNGzdmzpw5rFq1ioiICD799FMOHz5M69atc2134sQJnn76aR544AF27NjB+++/z1NPPeXdx6233sro0aN5/fXXadu2LYmJiSxfvpx69ep5+8xfrBwzZ87kjz/+oGHDhsyaNYuVK1fmOxFQUipFAC9IQAA0aKDRoAFA/mYfSUlw4ICJvXtVtm83sW2byrZtJk6dKlwwT0lRWLLEzJIlud9mm02nZk2dqCiN8HCd0FBjslhAVcFkAqcT7HaFrCyjxt1uh8xMY56VlXt5Vha43QpWq05AgNFEvkoVY6pa1Xiu6GiNqCidevWMkwDVq8tJACGEEEL4T/369VmyZAmTJ0/mpZdeIiEhgWrVqtGqVSveeecdwGgiO23aNF588UUGDhwIQO/evb0DMF2q0aNHs337diZPnkxQUBDPPvusd+CrVq1a8eabb/Lee+/x+uuv07lzZ1599VVGjBhRrOe6++67WblyJXfffXehtu/ZsycOh4NatWrRwPhxCkDXrl3JzMwkLCyMdu3aeZd7mo+PGTOG5ORk2rRpw48//khUVJR3m7i4OBRFIS4uzlsr2bNnTyZOnJivn63IVthjdcaMGYwbN67SHau+FKdMTz31FPHx8QwdOpSAgADuuOMOhg4d6h3HwGPo0KFomsbVV1+NoijcfffduQZ8++9//8ukSZN48cUXOX78OFWrVuWKK67wnrC6mBEjRrB161YeeOABdF1n0KBBjBkzptRGQVeSkpIKN9KA8Dp1SmHbNhNbt6ps3GhiwwYzR45UrLbmoaE6TZoY/dhbtnTTpo2bdu3cBAaWdckqrr179+Ya6EKI0iTHm/AnOd7Kl+Tk5FKrmSkPsrKyCt13syhat27NyJEjeeSRR0p83768++67fPXVV2zYsMEvzyeKp7SOt0shx2rFUNzP4kpdA15ckZE6V13l4qqrspedOqXwzz8mNmwweedJSeU3lKemeprMZy8zm3XatHHTpYub3r1ddO/uIjS07MoohBBCCFHRpKWlsXfvXj7++GOefPLJsi6OEAWSY7VsSAAvIZGROtdf7+L6610A6DocPKiyfr2JnTtV9u0zsX+/Sny8Snp6+Wz77XJl92P/6CMbZrNOp05u+vd3MmCAi4YNtbIuohBCCCFEufbUU08xa9Ys+vXrV+wmwUL4gxyrZUOaoJeB1FQ4ccIYkT01NXtyOsHtNiaLBQIDdWw2o0+3p2+3zZZzefY6VdVxOo2+4RkZCsnJCklJCmfPKpw8aQwyd+yYyqFDKgcPFu8kQGysm1tucTJ0qIO6deWwyUuaaAp/kuNN+JMcb+WLNEEXouTI8SaKS5qgVyChoRAaqlHyv2X0PPMCttLhxAmFHTuMgeW2bjWxbp2Z+PgLN5nfscPEjh0mXn01gO7dXdxzj4Mbb3TK9c+FEEIIIYQQohAkgFdCigLR0TrR0S6uvjp7+alTCmvWmFi61MzixWb27jUVuI8VK8ysWGHmuec0hg93cN99DmJipFZcCCGEEEIIIQpSfkcJE34XGalzww0u3nori3Xr0tiyJYUJEzLp2dOFyeQ7XJ85ozJpUgBt24by6KOBHDggh5QQQgghhBBC+CJpSRSobl2dhx5yMHduOnv2pPLWW5l07Ojyua3TqTB9upWOHUMYOTKQQ4fK50BzQgghREVnNptJT09H16XlmRBC+Juu66Snp2M2F68xuQzCJopszx6VL76w8s03VlJSfAdtq1XnwQcdPPmknWrVKschJoMUCX+S4034kxxv5Y/dbicrK6usi1EqUlJSCAsLK+tiiEpCjjdRHAEBAdiKORCWBHBRbGlp8N13VqZMsXLokO/+4lWq6DzzTBYPPOCgmCeJKgz5gSr8SY434U9yvAl/kuNN+JMcb8LfpAm6KLaQELj/fgfr16fx6acZNG/uzrdNcrLC008H0qtXCMuWFTyomxBCCCGEEEJc7iSAi0tmNsOttzpZsSKNDz/MoHZtLd82O3aYuOGGEEaMCOToUekfLoQQQgghhKh8JICLEmMywR13OFm3LpX//CeT0ND8vRvmzLHSuXMokybZuEy7rgkhhBBCCCGETxLARYkLDIRHH3Wwbl0qt93myLc+I0PhtdcCiIsLYcECMzKIqxBCCCGEEKIykAAuSk1UlM7HH2fy++9ptG2bv3/4wYMmbr89mFtvDWLfPjkUhRBCCCGEEJc3ST2i1HXp4ubvv9N4990MqlXL3z/8jz8sxMWF8PLLNtLSyqCAQgghhBBCCOEHEsCFX5hMMHy4kw0b0njwQTuqmrvdudOp8O67AXTqFMoPP1ikWboQQgghhBDisiMBXPhV1ao6b72VxZIlacTFufKtT0hQefDBIPr3D2brVjk8hRBCCCGEEJcPSTiiTLRurTF/fjpTp2YQHZ2/WfqqVWZ69w5h7NgAEhPlsmVCCCGEEEKIiq9SBHDl1KmyLoLwQVFgyBDjsmWPP56F1Zq73bmmKUydaqNDhxCmTbPizj+OmxBCCCGEEEJUGJUigId06YJl5kykY3H5FBICL71kZ9WqNPr2deZbf+6cyuOPB3LVVSGsWWMqgxIKIYQQQgghxKWrFAFcTUwkaNQogm65BSU+vqyLIwrQqJHGd99l8O236TRokL+6e/NmE337hjByZCAnTkizdCGEEEIIIUTFUikCuIfl778J7dYN60cfIe2Zy6/rr3exalUaL7yQRVBQ/lYL339vpWPHUN5/34rDUQYFFEIIIYQQQohiqFQBHEBJTyfwmWcI7tsXdefOsi6OKEBAADz5pJ21a1O5+eb8KTstTeHFFwPp3j2Ev/4yl0EJhRBCCCGEEKJoKkUAd/XokW+Zef16Qnr1wjZ+PNjtZVAqURi1a+t88UUmv/6aRmxs/lYLe/eauOWWYO64I4hDh6RZuhBCCCGEEKL8qhQBPP2XX8h47z30sLBcyxWnk4AJEwi58krUTZvKpnCiUHr0cLN0aRoTJ2ZSpUr+Zunz51vo0iWU116zkZJSBgUUQgghhBBCiItQkpKSKs3Q4EpCAoFjx2KZNy/fOt1kwv7449ifegpstjIonSisM2cUXn01gC+/tKDr+Wu9w8M1xoxx8NBDdvKccylVe/fupUmTJv57QlGpyfEm/Kmkjzddh127VDZvNrF9u4kdO1TOnVNwuRTcbrDZdBo21GjcWKNpU424OBcxMZXm50qlJ59voqhcLuP34enTCmYzhITohIRAlSo66kWqG+V4E/5WqQI4ALqO+ZdfCBw7FvX06Xyr3bGxZHz4IVq7dv4vmyiSjRtN/PvfAaxb57sPeJUqOvfdZ+fBBx1++eEmH+DCn+R4E/5UUsfbzp0qs2ZZmD3bwoEDRbusZLNmbnr3dtGnj4vu3V1+PcEq/Kuyf745HHD8uILbrWAy6ZhMEBGhExRU1iUrXS4XZGZCVpZCRoYx99zPzFRISYGTJ1VOnlS88xMnjPmZMwqalr9SJiREJzbWTatWblq21GjVyk1srJvQ0OxtKvvxJvyv8gXw85TERAKefRbrzJn51nlrw//9b7Bay6B0orA0Db791sLLLwdw6pTvU5xms85NNzm57z4HXbu6UUqpq7h8gAt/kuNN+NOlHG+6Dn/9Zeadd2ysWFEyg2aaTDqdOmUH8g4d3FgsJbJrUQ5Uhs83pxMOH1bZv9+YDhwwpv37VY4cUXG78/9YiYnRaNBAo1EjjUaN3N7bDRpo5Tac2+1w5IjKoUMqBw8a80OHVOLjVVJSFLKysgO3y+W/sXzq13fTqpURyKtVO8p110VSt+7Fa8uFKAkVMoBPnTqV999/n5MnT9K8eXPGjx9Pt27dirUv82+/EfjYY6gnTuRb546NJfOdd3B36XKpRRalLCUFPv7Yxn//ayM5ueAP8KZN3dx9t4MhQ5xER5fsoV8ZfjCI8kOON+FPxTneXC746ScL775rY9u2otV2F1VoqE7nzkYQ90zVq1e4nzfivMvh803X4exZhfh4I2wePpx92xNAfYXs4soZzhs2NMJ59eo6ERHGVK2aUZNekjIy4NSp7NroU6dUTpxQSEjIfo3Hjik+uwuWR6GhOi1bumnZ0gjnLVu6adhQIyJCL7XKG1E5VbgAPnv2bEaOHMnkyZPp2rUrU6dO5ZtvvmH16tXUqVOneDtNSiJw3Dis333nc7XjnnvIevll9GrVLqHkwh+Sk+HTT218+KGVxMSCT2Mqik7Xrm5uusnJoEFOoqIu/d/gcvjBICoOOd6EPxXleMvMhG++sfL++zbi4wv+HLZadXr2dNGundE0tG5dDYvFCAnJyQr79qns2WNi3ToTGzaYihxW6tbV6NDB2H/z5hrNmrmlhquCKM+fb7oO6elGU+iEBCNsekJnzvmJEyqZmeUntSmKTni4EcSDgiAgQCcgAAIDdWw2Yw5Gy8LsyRiTwW43Lv+amqqQlqaQlmbct9vLz+sDqFZNIzJSR9MgPV0hOdko76UKDtapW1fLNdWqpVOzpkZ0tDEPDi6BFyAqjQoXwK+++mpatmzJ+++/7112xRVXMHjwYF566aVL2rd5wQKjNvzkyXzrtGrVsD/1FI777pNB2iqAjAz49lsrH31kZe/eC5/yVRSdbt3c3HijEcZr1izev0R5/sEgLj9yvAl/KszxlpQEX3xh46OPrJw+XXDK7dnTxW23ORgwwEl4eOGePzkZli83s3ixMV3sc70gQUE6TZpoNG/upmlTjXr1sn9QR0ZW3nCu65CaCklJRmhJSVHQNOPnjs1mBLbQUJ2wMJ3AQEq9NtAfn292O6SmGqEyJSX7dnKywrlzuaezZ9Vc9/0RPKOiNAIDddxuBZcLTpzw3cf5cqKqxvEVEGDMAwOzTxIEBBj/vzVrGoE3KsqYe+5HRur5fp7rutGXfts20/lJZds2E/v3qyX+XoaGGuWoUUOnalXfU7VqGuHhOlWqGAPEBQcbr0tq1y+RroPbbTS78k5u3HYXLrsbZ5Ybt92YnFluXA4Nl13LPXfouBxunHYdl1PH7dSNZU4dp0M3dnl+mdOZ42k8t90K1aor3Ptl4VpkV6gA7nA4iI6O5vPPP+fGG2/0Lh87diw7duxg/vz5l/wcSmIiAc88g/Xbb32u1+rVI+u553Decgsl3pZHlDhNg7//NvPll1bmzzdftH+Rouh0727UjA8cWLQwLoFI+JMcb8KfLnS8HT6s8NlnNqZPt5KS4vszVlF0Bg928thjdtq10y65PEePKixZkh3ILxT4CysgQKdOHY06dXL/qDcmY1nVqkYtYnkfHsZTS3v2rMK5cypnzyo+JpUzZxTvQFYZGYVLAWazfj6MQ1iY7g3moaFGmLDZdG9wt9mM99VqhYAAo9WD2QyqaoQOVTVCl+e2Z378+HFq1ozB7Qa3Wzk/zzkZodRuN/oPe/oR2+2QmVnwPCMjO2iXh9rbqKicfbqNpuOePt15a1QdDoiPz+4nfvBgdt/xw4dLPlCWpFq1jJNd9esbr61+fWOqUUMjICA7cFut/gmjGRmwa1d2IF+3zsH+/SEFfn6VJlXVCQ42wnhQkHE7JMS4bbUa/0dWK1gsxv+PxWKcGPPcNtYZ/2tms+d/yPif8kw5/7fyzXUNRXOjaC50t4bucKE53ehOtzF3eeYamtON5tKM2+fv4z5/+/zkWedygduZHVbdLnC5dFwuBZcbXC71/FzBpSm43Aout2pMmmos0zy3Tcakm3Dp6vm5CZduxokZV57JiQUX/h8UpLVtN8tORhVq2woVwBMSEmjRogXz5s2je/fu3uUTJkzghx9+YP369T4ft3fv3iI/V+j69dR9800C4+N9rs+qW5cTd9/N2f790cv7N3Fpcrkwp6Wh2O2oTieK04luNqNZLOg2G+7QUHRzyQy6c6nOnjWzYEEEf/xRjR07Lt5WSFF0WrVKp1evJHr1SqJBgyw5SymEEBgB759/Qvjuu5osWRJe4I9/s1ljwICz3H33CerVs5daWQ4dCmD79mDvtHdvIC5X6VVnBwS4CQtzExrqIjTUTVCQhs2WPQUEeG7r3mVWq5bjB7Hx08vzQ1hRsn8wu1wKTqcxuVwKLpfqve9ZlpWlkpFhIiPDmKenm8jM9NxWycw0letAVlkEBLiJiXEQE2OnVi07MTEOoqPtxMTYqVPHTlDQpZ+MAnA6FY4ft3LkSACHD9s4ejSAEyesJCebSUoyppSUkv8tZjZrREQ4iYhwnZ9nTzExDmrVshMdbcdmK/9RQ9fhxAkre/cGsndvEHv3BnLwYCDHj1vJypIKN3FxzSz7+HplEsBFK0gqZACfP39+rkHX3nzzTWbNmsW6detK9gntdmwffIDtnXdQ0tJ8bqJFR+MYPhzHPfegR0eX7POXE8qJE5g2b0bdswf1wAHUgwdRjx5FOXMGNSnpoo/XwsPRa9RAj4nB3bAhWsOGaM2a4W7bFr1mzdJ/AT4cOqTw888W5syxsGlT4b6UGjZ007+/i2uvddK5s5vAwNzrpUZS+JMcb8KfPMdbZib88IOFTz6xsX17wT9KQ0J0RoxwMGqUvUyu352VBdu2GX3Hd+1S2bXLmF9obBAhCstmM1pGREcbTaGjooy+wMY8e1mVKuWnebHLBefOKSQmZl/aKysrdwsBMBp3Gi0TjKsNKIpR42pcV1snNNRobh0SconNpz3Nhp1OcDpRXC6jmt9z2+k07rtcKOe34XxFj8/bOR7vfUzOx19gXxnJyQRbLN7H4nSinN9edzg5aw/lkD2Kg/ZaxDtrcchdmxPuSBL0KI4TwwmicFKJK+MEAI3Nh1h/pmqhtq1QAdwfTdB9UU6fxjZxItZp04x/cB90kwnXgAE4brsN1zXXVNzLl+k66u7dmBctwrxkCaaNG332iS8pWkwM7vbtcfXsiat3b7Tmzf3+bXXwoMpPPxlhfMuWwp3ltFp1OnZ00727ix49XHTu7OboUQlEwn8kgAt/WrjwCIsXN2HmTMsFQ2xEhMaoUQ4eeMBe6P7d/qLrcPq04g3kBw8aTXc904WuoFEZ2Gw61asb/VPDwoz+8A5H9iWiUlLKT9PtkmAyeZrOk6sZfWioMVCZZ/KMIF6tmua9HxRUToK1J8Q6HOBw5A6xnqDpcOS+nXebvNt7wmfOkOojyPoMw+f3rfgIsj5Ds15hIsgFaSicoxoJRHOG6pyj2gWnRKqSTjDpBGMnoKyLf9lScWPGhUVxYVbcxhw3FvX8fdWNWXFjUjTjtppjbtIwmTQsqobZpGEx6ZhMuve22axjNhldaixmYx5RXeeh/7UrVNkqVAAHYxC2Vq1a8d5773mXdejQgUGDBl3yIGwXox44gG3yZCzffVdgEAejxtd54424Bg7E1aOH0fGpHFNOnsS8eLE3dKsJCWVWFq1mTZz9++MaNMh47/x8YdcDB1TmzLHw669mNm4sfHMtq1WnRYs0unWz0r69myuuMC5dUVkH9BGlTwK4KG1ZWfDLLxamTbOyatWFPw9jY9383//ZGTLEWW6vR3wxSUnG9YqPHlU5dcq4pJLnEkvGfcU7SFlJXj6qtAQEZIfHiAgtx+2ck+atyS1sba1n8LKUFGPwMmOunB8VG+z27HlWFjgcxtyzPOco27pujLSdd1laWjphYcGYzUZQ9tTKmkzkWubpP+wZxdvT59yzPO88KIhc/dW9rzdnbWzOkFrUUFvQ9hcKtecf573tY/uCnltxOEr1GBKlz4nZG8bTCPFO6QTjwIodGw6s+SZfy51Y0FHQUdBQ0VC9ty84V8xoqglVAeX8uAyqZ4yG8/97qAqqquRY5rmtoJgUY5lJNe6rihFQLQpm8/n/WYuCxQJmi4LJohhzq2psY1UwW1XMNpOx7vxts+38MpvJmAeYMdtMWALNmKyqcT/AbGxvVTGbjc8FiwXvWBPlVYUL4LNnz+ahhx5i8uTJdOnShS+++IKvv/6aVatWUbduXb+UQTl6FNsHH2D98kuUjIwLbqsHB+O68kpcvXvj6tHDqOEt6yMiORnz2rVG4F68GNOOHcXela4o6FWq4Bk9Q7dYsr9YMjNRkpOLfYZTq1oV5y234LjnHrQ2bYpdxuI6dkzht98sLFhgZulSMw5H0X5whYXptG3rpl07N7GxxmVwmjZ1y6UqRImQAC5Ky65dKtOnW/n22wvXdquqTv/+Lh56yE6PHu7yUSPoB54Rw5OTjUCelKSQkZHdnDd7btQce5r62u0Kuo53yg6g2fvVNOPHY84Bl3Le9gy4FBCQs0lw9sBNOe/7+fy1b5qWHUydTiO9Oxze0OlrGU4nJ+PjiapWLXu904lyfjvvbV8hNW+AzVkje7Ea4MukNlb4l+5JfFarMebR+X9a3fPPe36ZbrVm3/as83XbbPb+nvZsX+C+L/B4LJbsx+R8fJ59eUduE35V4QI4wNSpU3nvvfc4efIkLVq04I033sg1KJvfJCdj/e47rJ9/jmn37kI9RIuIwN2hA+527YwpNha9Tp1SG1FdSUxE3b4d0/btmLZuxbR+Peru3UX6otEDAnC3aoW7VSu0Ro3QGjRAq18fPTLSuDb6hQZZc7tRzp1DOXUKNT4edf9+1P37jbJs22Z8iRaCq317HPffj/PWW8ukeX9KijGa+sKFFpYvN3P4cPFOoiiKTt26Os2bG4G8USM39eoZo4LWqqXLwPqi0CSAi5KUmWnUdv/vfxev7Q4P17jnHif332+nXr0K9xPi8qbrRtDMyjK+Xwsxx25H8TX3hOKcYdcTnH0t83H7Qq0FhdAVxWdYxGz2HTLNZiPI+rh90ZDrI9h6tj9++jQx9erlfkzeIOu5nTPklvdqVlFuVcgAXu7oOqbVq7H8+COWOXNQz50r2sNtNiPY1q2LVrs2eq1aaNWro1etakzBwZ6LcaKrKornOhxZWShpaSipqShJSUbIPXUK5fhxY6C0Q4eKXBYAPSgIV/fuRq19795oLVpcOGQXl9OJun075uXLMS9dinnFCpT09As+RIuJwT56NI5774XQ0JIvUyEdPqywYoWZ5cuNKT7+0j+ALRbjEjiey3M0aJB9jdroaJ0aNSrvNWpFfhLARUnYuTO7tjsp6cIfMN26uRg+3MGgQc7y3rOq/NF14zs7MxPS0415RgbK+cl7u6D1mZnG92NmZvZ2Doc3MOcK1lKTW6nkq4HNGRQ9YdYTVD2h01ftad5t8gZWX2G0MDW0OUJx3nXlpdZBvk+Fv0kAL2kOh9Gfev58LL//Xqb9qQtLV1VjILQ+fXD17o27c2cj8Pubw4F5yRIsP/+Med481MTEAjfVIiKwP/UUjvvuKxcD3h09qjBv3ilOnKjNxo0mNm40l/iAPmazTlSU0VcvOtqYx8Rkj7xavboxgE61anqpnC8R5Yv8YBDFlZUFP/9s9O1evfrCHxZVq2rccYeTK6/cy7XX1vFTCcsZl8s4yZ2YiJKSAqmpKCkpxsnvHLfx3M+53LN9aqpx8lyUWz6DrCe8+gqyFwq4OcOrZ5++QqnVmut2roCa9/G+wrXFIjWwJUC+T4W/SQAvTbqOunkz5mXLjFreVauML+OyLpaioLVogatLF2//9HI3XK3DgXnBAqxffon5778LPKOv1atH1osv4rz55jLvw5LzA9y4Lq3KP/+Y2L5dZedO4xI4hw6p6HrplzMgQCcwUPcOhpR7wJvsuaYZfRI9fQrzDmZT2HnewW5sNp3AwILnFkuZ/7kqPPnBIIpqzx6V//3PetGRzAG6dzdqu2+4wajtvmyON01DOXsW5eRJ41Ka584Z3aRyTomJ3tvquXMoycllXeoKTbfZssOkzWYESM/cas23DKuVFLud0IiI7PBrteZa7wm8us2WP7z6CrKebXwF2XJWGyv877L5fBMVhgRwf3K7UXftwrRpkzFt22ZcW/vs2VJ7St1qRWvSBHfLlrhjY41+5+3bQ5UqpfacJU05dAjbRx8Zg95lZvrcxtW7N5lvv43WqJGfS5etMB/gmZnGj+Bdu0zs3WsEcs905kzlOYutqgUHdU+QDwzMvjRMlSr6+dvG4HY5J8+lYsrFgEN+JD8YRGHY7TB3rlHbvWLFhWu7q1UzarvvucdB06ZarnXl/njTdUhONsYaOXIE9eRJlBMnjPn5ST15EuXUqcu+Jlq3WCAgwAinnrnNhm586Oab59s2IMAIuJ75+eDsDdA5wrSvZd6A7KnZLcbZ1nJ/vInLihxvwt8kgJcDyrlzqPv2oR47hnLsGOrx49ln4ZOSjP5fnr5eum40kzKZjC+50FD0kBD0sDBjULTISLTISLT69Y2B0mJiLpuzusrZs1g//hjbRx+hpKXlW6/bbNifegr7o4+WyfCvl/oBnpoK8fEqBw8agTw+3pgfP65y/Lhy0f6ZlV14uHGZnerVde+8enVjWc2aOjEx2U32y6KHRUmTHwziQg4eVJk2zcqMGRbOnr14bfeIEQ4GDiy4b3e5ON6SkjAdOIBy+LARsg8fNqYjR1CPHDGagZdjutWKHhQEQUHGPDAQPTgYPTAwe1lQEHpgYO7bwcHGtjkfGxBgBGgfQfty6INULo43UWnI8Sb8TQK4qHCU06exTZyIddo0nyOsujp0IHPqVLQGDfxartL+AM/IgBMnjDCekKCSkKBw/LhKQoJxjdozZ4zpYk1LBdSooRETY4TyBg2MqWFDY16njlYhatPlB4PIS9dhyRITH31kY+FC8wW7u1StqnH77U6GD89f2+2L3443t9sYRHTXLuOKGXv3Gieo9+4t1dZiF6NXqYJWrZpx2c3QUOPkd1hYrrl3ec71YWHG8pCQshlbpYKSzzfhT3K8CX+r+KdJRaWj16hB1ltv4XjoIQKffBLzkiW51ps3bCCkZ08yJ07Eefvtl01n46AgaNhQo2FDgIKbUOq60dQ9I0MhM9N4+aqaf+65rSg6TqdxnVrP9WoLM7fbjWvd5pxf7HF2u1Eml6ts/yanT6ucPg2bN+dvHWIyGaPRN2umERvrpkULY96kiSa/n0W5lJEBP/xg4eOPbezceeEWT3FxRt/uwYPLfiRzJTERdds24zKZ27cbl8zcubPArkYlRQ8LQ4uKQq9eHT0iAr1aNSNcV6tmXHnEc9szhYdfFrXKQgghygf5RhEVlta4Mek//YTlu+8IeO65XLUjSloaQaNH41ixgsy3365UNQ+KYoT1oKCiNG7R88xLl8tFrkDua56eDikpCikpCqmpive2MUFqqkJyssLZswqJiUqJDW7ndiscOmTi0CETv/+eXRVuMuk0bqzRpo2bjh2NqXVrd3kYhF9UUidPKnzyiZVp06wXbPkSFqZz++0Ohg930KLFxWu7S4XDgWnrVkzr12PasMGYHzhQok+hBwQYl/OsUwc9JgatZk30mjVzzyMj8Y5OKYQQQpQBCeCiYlMUnLfdhuvaawl85BEs8+fnWm2dMQN1zx4yvvoKPSqqjAop8jKbISQEQkJKJvi7XJCYmN0M/+xZhTNnVO9tT9P948dVTpwoXlh3uxV27zaxe7eJH34wltlsOm3auOnQwU2XLm569XIRESG9ekTpOnxYYcoUG199ZSUrq+BjuV07Fw8+6OCmm5z+z5zp6ZjXrMG0dCnmFSswbd6M4nBc0i51qxWtQQNjjJPzQVurWxfdM69e/bJp8SSEEOLyJQFcXBb0iAgyZszAOm0aAc89l6sJo3ndOkL69CHjm2+MEeDFZcdshho1dGrUuHj4dTqNmsNjx1SOHFE5cCB74LuDB1VOnCh8H3q7XWHdOjPr1pn5+GOjOX/btm769HFx5ZUuunZ1V6bGF6KU7d2r8s47Nr7/3lJgNw5V1bnhBhejRtnp0sXtvzzqcGBavx7z0qWYly7FtG4ditNZrF1pERFosbG4mzZFa9zYuJJH48bodepcNoOKCiGEqLwkgIvLh6LguO8+XHFxBN15Z67mjWpCAsEDB5I+YwbuK68suzKKMmexQO3aOrVrG7XWeaWnw759xqXiduwwsXOnyo4dJo4evXgw13WFTZvMbNpk5p13jOukd+/uYuBAJzfcILXjonh27lSZMMHGzz9bCmy9ER6uce+9Th54wE6dOn46zlJSsPz1F+Z587AsXIiSklKkh+smE1qzZrhbtcLdujVay5a4W7Y0molLTbYQQojLlARwcdnRWrQg7e+/CbrvPix//+1drqSnEzx0KBlTp+IaPLgMSyjKs+BgaNtWo21bDciuwUtOhu3bTWzYYGL9ejMbNlw8lGdmKvz5p4U//7Tw5JM6vXq5uOkmJwMHuqhWTcK4uLBjxxTeeCOAmTMtaJrvQFq7tsYjj9i56y4HwcGlXybl5Eks8+djnj8f85IlRWpWrtWqhbtDB1wdO+Lu0AF3u3b4pdBCCCFEOSKXIROXL5eLgJdewvbf/+ZarCsKme++i/Pee0v06eQyFpVPQoLC+vUm1q41s2SJmS1bCtc81mzW6d3bxa23Ohk0yElgYNGfW463y1dSErzzTgCffFJwH+9Gjdw8/ridW291lv5AgFlZnPniC+ouWoT5r79QtMIN5OZu0AB3r164evXCFReHHhNTygUVlwv5fBP+JMeb8DcJ4OKyZ/3vfwl87rl8yzOmTMF5990l9jzyAS5On1ZYssTMokVmFi82c+zYxZutV6mic+utDkaMcBAbW/gRquV4u/xkZcFnn1mZPNlGUpLvY6dVKzdPPmln0CBn6XaH1nVMGzdi+eYbLD/+iJqUdNGHaNWr47r6aiNw9+yJXrduKRZQXM7k8034kxxvwt8kgItKwTJzJoEPP4zizu7zqysKmZ9+inPo0BJ5DvkAFznpOuzerTJ3roU5cyzs2HHxtHTllU5Gj3ZwzTUu1ItkdzneLi8LFpgZNy6Qw4d9/+GbNnXzwgtZDBzoKt3u0WlpWGfOxPrFF5h27rzo5u4GDXANHIhzwADcnTrJIGmiRMjnm/AnOd6Ev0kfcFEpOG+/HT08nKB77vGOzKvoOoH/93/oVqv0CRclTlGgeXON5s3tPPWUnV27VH76yQjju3f7DimLF1tYvNhCs2ZGLefNNzsxy6f0Ze3QIYVx4wJzXXM+p6gojWeeyeLOO0v3WFAOH8b2ySdYv/rqooOpuVu2xHnzzTj790dr3lwGTBNCCCGKQGrARaVinjePoHvvRXG5vMt0i4X0n37C3b37Je1bzqCKwtqxQ2XGDCszZ1o4d67gqu5GjYwgfuut+cOXHG8Vm8sFH31k5fXXA3z28w4L03n0UTujRtlL9Rre6p492N59F8v33+f6XMzLGR6OdtttOO64A61Nm9IrkBDI55vwLznehL9JABeVjmXOHALvvz/XQEJaeDjpf/yBdgkfwPIBLorKbod58yx8+qmV1asLrt6sX9/NE0/Yue227AG35HiruLZtU3nkkUA2bsz/N1dVnQcecDBunL1UL1un7t+P7Y03sMyejaL7fh7dZMJ13XU47riDXY0a0Tg2ttTKI0RO8vkm/EmON+FvFx8hSIjLjPOmm8jMMzK6mpRE0NChKGfOlFGpRGVks8HNNzv57bd0/v47jaFDHZhM+cPQoUMm/vWvIDp0CGXaNCt2exkUVlwyTYP337fSp0+Iz/DdtauLJUvSmDgxq9TCt3LsGIGPPkpI585YZ83yGb616tXJGjuW1G3byJg5E9cNN6BbfDeRF0IIIUTRSAAXlZLz9tvJev75XMtMhw4RdOedxlDEQvjZFVe4+eyzTNavT+Puux2YzfmD0ZEjKo8/HsgVV4Ty/fc1SE8vg4KKYjl2TOHGG4N58cVAnM7cTc7DwzU++CCDBQvSad268CPhF0lGBrYJEwjt2BHr9Om5BqT0cDdqRMb775O6bRv2559Hj44unbIIIYQQlZgEcFFp2Z98Esedd+ZaZl6zhsAnnjCGsBaiDDRooDFlSiYbNqQyYoQdiyX/sXjsmMpbb9WjRYswnnkmgH375KO8PPv5ZzPdu4ewdGn+Wu/Bg52sWZPGXXc5S2csM13H/NNPhHbuTMD48SiZmfk2cbdsSca0aaStXYvznnsgIKAUCiKEEEIIkAAuKjNFIfOdd3D16pVrsfWbb7B+/HEZFUoIQ716Ou+8k8XGjak8+KAdqzV/EE9JUfjoIxsdO4bSr18w//ufhUJcrln4SVoaPPJIIPfeG5zvut5Vq2pMn57O9OkZ1KxZSs3NjxwhaNgwgocPRz16NN96d8OGZHz+OWnLluG86Sa5hJgQQgjhBxLAReVmtZL+5Ze4GzfOtTjg+ecxLV5cJkUSIqfatXXeeiuLTZtSeeghOwEBvsPaqlVmHnssiKZNwxg2LIjp0y2cPCmXhyor69aZ6N07hK++suZb17u3ixUr0hg8uOBRxy+JpmH95BNCu3bFsnBh/tXVq5P5zjukrVmD85ZbuOhF54UQQghRYuRbV4jwcDK++QY9LMy7SHG7CRo+HPXAgTIsmBDZYmJ0Jkwwgvjjj2cRHu70uZ3DofD77xYefTSI5s1D6dUrhBdeCODPP82kpvq50JVQVha8/LKNvn2D2b8/d42yxaLz6quZzJmTTkxMKdV6JyYSdPvtBI4bh5JnkADdbMY+Zgyp69fjGDECZGA1IYQQwu/kMmRCnGf+/XeCbrst16jA7saNSf/jD/SqVS/6eLmMhfCnbdv2sW1bC6ZNs7JmTcGXMMtJUXSaN9fo0MFNu3ZuWrRwExurUbWqfA2UhDVrTDz6aCC7duVvyt2kiZvPPsugXbtSGmQNMG3cSNC996IePpxvnSsujsx330Vr1qxY+5bPN+FPcrwJf5LjTfib1IALcZ6rb1/sL76Ya5lp3z6C7r4bHI4yKpUQvtlsOrfd5uT339P5559Unn46i4YN849snZOuK+zcaeLrr62MHRvIgAEhNGgQRqtWodxzTxDvvWdlzRoTPgbIFhdw4oTCQw8F0rdviM/wPWKEnSVL0kovfOs61s8/J7hv33zhWw8LI/Odd0ifN6/Y4VsIIYQQJadw1SZCVBL2xx5D3bkT6/ffe5eZly8n8LHHjGuHl8owxUJcmoYNNZ5+2s64cXZ27FCZP9/C/Plmn9ea9uXoUZWjR1V++cVoklyzpsYNNzgZNMhJ9+5uGZurAKmp8PHHNt5/30Zqav7PhpgYY0T7q68upb7eAGlpBD7+ONYffsi3ytWxIxnTpqHXqVN6zy+EEEKIIpEALkROikLmlCmoR45gXrXKu9j6zTdoMTHY81w7XIjyRFGgZUuNli3tPPWUnTNnFJYtM7NkiYmVK83s2VO4JH3ypMrUqTamTrVRvboRxgcPdtKjhxuzfGuQng6ff27l3XdtnDvnuyHZHXc4eOONTMLDS68c6u7dBN1zD6bdu/Otsz/0EFmvvgrW/IPACSGEEKLsyE8pIfKy2cj4+muCr7kG08GD3sUBkyahh4biePTRMiycEIVXvbrOTTc5uekmY8C2pCTYuNHMxo0mdu5U2b7dxN69Kk5nwS07zpxRmTbNxrRpNqpV0xgwwMWgQU7i4lyEhPjphZQTx44pfPqpjf/9z0pysu/3LDbWzYQJmfTsWbrt+C0//EDgY4/lH2gtJITMKVOMy4oJIYQQotyRAC6ED3pEBBk//EDwtdeiJiZ6lwe+9BKEhOC4//4yLJ0QxRMeDn36uOjTJ7tJtN0O27eb2LDBxKpVJhYutJCW5jtcnjun8tVXVr76yoqq6sTGanTs6KJ5c43GjTUaNdKIjNQICrp8ems4nfDHH2ZmzrSyYIEZl8v3CwsP13jmGTv33+8o3VYCdjsBzz6L7fPP861yt2hBxpdfoslgQkIIIUS5JQFciAJojRuT8eOPBA8ejJKW5l0e+OST6BYLznvuKcPSCVEybDa44go3V1zh5sEHISsrk7//NvPzzxYWLLCQkuI7cGqawrZtJrZty9+sPSBAp1o1nYAAHYsFzGZjsliM+zVq6DRt6qZZM40mTdw0aaIRHFzar7TwHA5YvtzM/PlmfvrJwpkzBY9XGhqqM3q0ndGj7VSpUrrlUuLjCRo+HPPGjfnWOYYNI/PttylXb6QQQggh8pEALsQFuDt0IH3mTIKHDkXJyvIuD/rXv8jMyMDxf/9XhqUTouQFBED//i7693dht2eyZIkRxufNM5OUVLgLZ2RlKRw/frEq8NzXoK5TR6NpUzcNG2q5prp1NWy2Yr6YQtI02L5dZcUKM8uXm1m61FzgiQePqlU17r/fwejRDqpVK/3LuJl/+43A//s/1KSkXMt1m43MiRONE4KXS7MDIYQQ4jImAVyIi3D37EnGl18SdMcdKK7spruBTz+Nkp6O/ckny7B0QpQemw2uu87Fdde5ePddWLbMzC+/mFmxwszevSU7NPqRIypHjqj89Vfu5aqqU6uWTu3aGrVra8TE6NSqpXmnmjV1IiL0i441puuQkQHHj6scOqQSH6+ye7fKli0mtm83FdjsPq9mzdyMGmXn1ludBAUV88UWhd1OwOuvY3v//XyrtHr1SJ8+Ha1dOz8URAghhBAlQQK4EIXguu46MqZPJ2jECJQc1wQPePVVlLNnjdGGhbiMWSxw1VUurrrKOAmVmKiwfr3RBH3/fpX9+41Qe+aMgsNRcjWxmqZw5IjCkSMXrn0PC9MJC9MJDNQJDDSWuVzGlJqqcO6cgt1evHKFhenccouDO+5w0rGj228VzerOnQSNHIlp69Z865z9+5Px4YeU6jDrQgghhChxEsCFKCTXgAFkfPstQXfeiZKZ6V1u+/BD1Ph41HHjyrB0QvhX1ao6117r4tprc1/jWteNy3SdO2cEcafTGMjM5TJu2+0QH6+yZ4+JPXtU9uwxaqR1/dJSbUqKctFm40VRo4ZGv34u+vd3cuWVLgICSmzXF+d2Y/34YwJeeQXFbs+1SjeZyHrpJRyPPCJNzoUQQogKSAK4EEXguuoq0mfNInjYMJTUVO9yy7x5NDtwAPecOehRUWVYQiHKlqJASAiEhOhAQX2j3YDTey8rC/btM2rRDx5UOXDAxIEDxu1jxwrX7/xSVa2q0bWrm+7dXfTo4aJ1aw1TybayLxR161YCH30U8z//5Fun1apFxqef4u7e3f8FE0IIIUSJkAAuRBG5u3Ujbe5cgm+7DfXECe/y4J070Xr3JmPaNNzdupVhCYWoWAICoFUrjVattHzrMjON/uHHjqkcPapw7Jh6flJISFA5fVrh7FmlUDXoNptOjRo69epp1Kun0aCBRqtWblq3dlOrll62FcqpqQRMmoT1gw9Q3PmvIe645RYyJ0+WJudCCCFEBScBXIhi0Nq1I+3PPwkeNgzT9u3e5erJkwTfcANZ//kPjjFjpImoEJcoMBCaNtVo2jR/OPdwu40+6enpxgjsnh4insufBQUZl0ULDi6H/5KahmXmTAJeeQX15Ml8q/WwMDInT8Y5dGgZFE4IIYQQJU0CuBDFpNeuTdpvvxF0331Y/vjDu1xxuwl8/nnMK1aQ+f776DVqlGEphbj8mUxQvbpO9epQcLP3ckbXMS9ahO2VVzBv2uRzE+fgwWROmCDdWoQQQojLiH861wlxuQoNJePbb8kaOzbfKsuCBYR064b5t9/KoGBCiPLKtHo1wQMHEnzzzT7DtxYTQ/qMGWRMny7hWwghhLjMSAAX4lKZTNiff569b7+NXqVKrlXq6dME33YbgQ8/jJKYWEYFFEKUufM13sEDBxJy/fWYV6zIv4nNRtbYsaSuXYtrwIAyKKQQQgghSpsEcCFKSHLPnqQuWYKrY8d866xff01Ip05Yvv/euE6TEKJycDiwfP89wX36EHzTTZiXL/e5mXPwYFLXrMH+/PPGMPJCCCGEuCxJABeiBOn165P+229kPfssep5rGKlnzhA0ciTBgwahbtlSRiUUQviDcvw4tgkTCG3dmqCRIwvu533VVaQtWmQ0N69f369lFEIIIYT/VZgAnpiYyFNPPUWnTp2IioqiZcuWPPHEE5w7d66siyZEbmYz9n//m/Q//sDdrFn+1cuWEdK7N4GPPIKS4zJmQogKzuHAPH8+QbfdRmirVgSMH+9zZHMAV+/epM2dS8bs2bjbt/dzQYUQQghRVipMAE9ISCAhIYH//Oc/rFy5kk8++YSVK1dy//33l3XRhPDJfcUVpC1bRtZzz6HbbLnWKbqO9auvCG3fnoAXXkA5c6aMSimEuCQuF6bFiwn8178IbdqU4DvuwPLbbyia78umOfv1I+3PP0n/+WfcPXv6t6xCCCGEKHNKUlJShe2QunDhQoYNG0Z8fDxhYWFlXRxRye3du5cmTZr4XKfu30/A2LFYFi3yuV4PCsLxwAPYR41Cj44uzWKKy8SFjjdRytxuTGvWYJkzB8tPP6GePn3BzfWQEBy3347joYfQGjf2UyFLlhxvwp/keBP+JMeb8LcKfR3w1NRUbDYbQUFBZV0UIS5Ia9SIjNmzMS9cSMALL2DasyfXeiUjA9v772P96COcQ4dif/hhtNjYMiqtECIv5dQpzH/9hfnPPzH//TdqIa5q4I6NxXHvvThuuw3yXCFBCCGEEJVTha0BT0pK4qqrruKaa65h4sSJF9x27969fiqVEBenuFxUnzOH6C++wHqBpuep7dtz+pZbSOzTB91q9WMJhRBqVhbB27cTunYtVVatInjnzkI9zlmlCklXXcWZwYNJj40FRSnlkgohhBCiPLlYi4oyD+CvvfYakyZNuuA2c+fOpWeOvnLp6ekMGTIEVVWZNWsWAQEBpV1MIS6qyE2YMjOx/u9/2N55B/XUqQI30yIicA4ZguP229HatpUf9AKQJnMlTTl3DtPq1ZhXrcK0ejWmTZtQnM5CPVYPC8M5YADOW27B1bs3WCylXFr/k+NN+JMcb8Kf5HgT/lbmAfzs2bOcPXv2gtvUrl3b28w8LS2NoUOHAvDDDz8QItdLFeVEsT/AMzKwzpyJ9YMPMB08eMFN3c2a4bzhBlwDBuBu107CeCUmPxguQUoKps2bs6dNmzAVsaWUXqUKzmuuwXnzzbiuvhou8xPBcrwJf5LjTfiTHG/C38q8D3hERAQRERGF2jY1NZWhQ4ei6zo//vijhG9xeQgKwnH//TiGD8f866/YPv0U84oVPjc17d6NafdumDQJrVYtnP374xwwAHf37pdlrZsQl8TpRD1wAHXXLky7dhnzLVsw7d9frN2527bFee21uK65BnfHjmAu869QIYQQQlQwFebXQ2pqKjfffDOpqanMmDGDjIwMMjIyAKhatSpW6SMrKjqTCdfgwbgGD0bdtQvrF19g/e47lORkn5urx45h++wzbJ99hh4WhqtHD++ktWoFaoW5yqAQxed2oxw7hnrwIGp8vDE/eBDT7t2o+/YVuhm5z13Xr4+7a1dcvXrhuvpq9Jo1S7DgQgghhKiMKkwA37RpE+vWrQOgQ4cOudbl7SMuREWnNW9O1sSJZL3yCubff8c6cybmP/9Ecbl8bq+kpGCZPx/L/PnG48PDccfF4erRA3enTrhbtQK5WoCoiBwOlIQE1POTcvRodtA+dAj18OFLCtkeuqKgtWyJKy4Od7duuLp0QY+JKYEXIIQQQgiRrcIE8J49e5KUlFTWxRDCvwICvLXiSmIi5t9/xzJvHua//kI53wLEFzUpCXXBAiwLFgCgqypas2a427bF3a6dMbVsCaGh/nolQmTTdUhORj1zBsUznT2LevKkEbaPHzfCdkLCRa+xXaynV1W0pk2z/x/atsXdurX8PwghhBCi1FWYAC5EZadXrYrztttw3nYbZGZiXrzYCOMLFqBeZCBDRdMw7dyJaedO+PZb73ItJgatSRPcTZsagaRpU7RGjdCjo8FkKu2XJCo6XYfMTJTkZGNKScm+nZTkDdbK2bPZYfv8/YJac5Q0LToad7NmaM2b427eHK1FC6NFSHCwX55fCCGEECInCeBCVESBgbj69cPVrx9oGur27ZiXL8e8fDmmFStQC9laRD1+HPX4ccxLluRarpvN6LVqodWpg1a3rjGvUwc9KgotMhK9Zk306tUlpFdEug4ZGSjp6Sjp6ZCWlvt2zvvp6d77pKZmh+ucUwk0/75UWvXqaPXrozVoYMzr10dr1Ah38+YQHl7WxRNCCCGE8JIALkRFp6porVvjaN0ax6hRuQK5ae1a4xJLF7m8WV6Ky4USH48aH1/gNrqqoteogR4ZiV61qjGFh6Odn+vh4d5lepUqEBaGHhSEHhho1D5W9hGk3W5wOMBuN0KswwFOJ0reZVlZKJmZKFlZRm3z+XnUsWPYgoKM++e3KWjuve0J1XqZXn2ySHRFQY+MRIuORo+ONlpt1KuXHbTr14ewsLIuphBCCCFEoVTyX8BCXIZyBHJGjTKWJSXlvubx1q2oBw6guN3FfhpF01BOnoSTJ4v1eN1qRQ8KguBgY+4J52YzutVqXFYt522LBf38PNd9z7XQFaVwt3Mu03UjCOeYlDz3C1qWb7nLhWK3w/ngrHgCdd5l5ydF04r93gPUvqRHlz09OBg9IgKtenX06tXRIyLQa9RAOx+yPWFbr1lTLrEnhBBCiMuGBHAhKoPwcNy9e+Pu3Tt7mcNhjCS9Zw+mvXtR9+wxpvj4i/YpLwmKJ5DK4IoVmm61olepkm8iLAwtIsII1udDds77BAaWddGFEEIIIfxOArgQlZXVitasGVqzZuQbDis9HfXIEWM6fNi41FNCAuqJEyinTqGcOFHofuai/NEDA9GDg43WB8HB6CEhxv3zcz0kJHtdcDB6aKhx31fQDggo65cjhBBCCFFhSAAXQuQXHIzWvDla8+YFb2O3o5w6hXrqlDHidc4pMTHfbdLTUTIyjMunVbB+yKVFt9nAZjOa0p9vaq/bbMbcajWW2WxG0/yAAPSAAAgMRA8I4FxmJlVjYox155ddbO4J2TJ4nhBCCCFE2ZAALoQoHpsNvU4d3HXqFP2xum4EeE8Y9wTzzEyj37TLld1v2uXKHqDM6TSW57yt69mTZ985b+d8zrzrwQijqmoMCmcyoZtM+ZZ5lxe0zGQCqzU7SHtu22y5lntDtdVqPMbTJ70Yju3dS1CTJsV+vBBCCCGE8D8J4EII/1OU7BrdatWQunAhhBBCCFEZqGVdACGEEEIIIYQQojJQkpKSpPJJCCGEEEIIIYQoZVIDLoQQQgghhBBC+IEEcCGEEEIIIYQQwg8kgAshhBBCCCGEEH4gAVwIIYQQQgghhPADCeBCCCGEEEIIIYQfSAAXQgghhBBCCCH8QAK4EEIIIYQQQgjhBxLAhRBCCCGEEEIIP5AALoQQQgghhBBC+IEEcCGEEEIIIYQQwg8kgAshhBBCCCGEEH4gAVwIIYQQQgghhPADCeBCCCGEEEIIIYQfSAAXQgghhBBCCCH8QAK4EEIIIYQQQgjhBxLAhRBCXFZGjRpFeHg48fHxZV2Uy47nvV22bFmZPXdl/LtW5tcuhBCXGwngQgghLsmHH35IeHg44eHhbNiwoayLUy6Fh4fTunXrsi5GubBs2TLv8VLYSYJnyZgxYwbh4eGMHz++rIsihBCVlrmsCyCEEKJi+/LLL1EUBV3XmTZtGh06dCjrIolyrG7duowbNy7f8gkTJgD4XFelShVeeuklHn/8cWJiYkq9jOVNZX7tQghxuZEALoQQothWrlzJrl27GDJkCOvXr2f27Nm88cYbhIWFlXXRRDlVr149nnnmmXzLPQHc1zqPqKioUitXeRYVFVVpX7sQQlxupAm6EEKIYvvf//4HwF133cUdd9xBRkYG33//vc9tczZ/3bJlC7feeit169YlOjqafv36sXr1ap+PS0hIYNSoUTRq1IioqCh69OjBN998423KPGrUqEKXd9OmTdx33300b96cGjVq0KxZM0aOHMmBAwcKvQ+Hw8Gnn37KkCFDaNWqFZGRkdSrV49Bgwbx+++/59rWU0aAI0eO5GpWXdhyZ2VlMWXKFHr37k2tWrWIiYnhyiuv5IsvvkDX9Xzbf/3119x11120bduWqKgo6tSpQ9++fZk5c2aBz5GUlMQbb7xB9+7dqVWrFrVr16ZLly6MGzeOU6dO+XzMzz//zFVXXUV0dDT169dnxIgRHDt2rFCvqTh89YOOj48nPDycAQMGcOrUKcaMGUOTJk2IiYnhuuuuY8WKFQCkpaXx7LPPev9eXbp04aeffirwuX7++WcGDx5M/fr1iYyM5IorruDll18mJSUl37atW7cmPDwcu93Oa6+9Rps2bYiMjKR9+/ZMnDgRh8Ph8zmWLl3K0KFDadCgAZGRkbRt25Zx48Zx+vTpIr/2s2fP8uijj9KsWTMiIyPp2rUrX375Zb59jBkzBjBOduQ8FsuiT78QQlRWUgMuhBCiWJKSkvjll1+oXbs2vXr1olGjRrz55ptMmzaNBx54oMDHbdq0iffff58uXbpwzz33cPToUX755RcGDx7M0qVLadasmXfbU6dOce2113L06FHi4uLo2rUrp06dYuzYsfTp06dI5f3+++8ZPXo0VquVfv36UatWLQ4cOMCsWbP47bff+PXXX2nTps1F95OYmMjTTz9Nly5d6NOnD9WrV+fEiRPMnz+fYcOG8e677zJ8+HAgu7n1hAkTCAsLyxW6C9MnPDU1lRtvvJENGzbQpk0b7rjjDgD++usvnnjiCdatW8dHH32U6zFjx46lWbNmdOvWjaioKM6ePcvChQsZNWoUe/fu5cUXX8y1/eHDh7nhhhuIj48nNjaWe+65B5PJxIEDB/jqq68YOHAgkZGRuR7z+eefs2DBAvr370/37t1Zv349c+bMYevWraxYsQKbzXbR11aSkpOT6du3L1WrVmXo0KEcP36cn3/+mVtuuYWFCxfy2GOPkZGRQf/+/UlNTWXWrFmMGDGCWrVq0alTp1z7evLJJ/n888+pVasWAwcOJDw8nPXr1/Puu++ycOFCfv/9d0JDQ/OVYfjw4WzatIkbbrgBs9nMvHnzeOONN9i0aRPffPNNrm2nTZvGE088QWBgIIMHDyYqKoo1a9bwySefMG/ePBYsWECdOnWK9NqtViuDBg3Cbrfz888/869//QtVVbnrrrsAGDBgAMnJycyfP5/u3bvTo0cP7z7q1q1b1LdcCCFEMUkAF0IIUSzffPMNWVlZ3H777aiqSp06dejVqxeLFy9m/fr1dOzY0efjfv/9dz755BOGDRvmXTZt2jQef/xxPvnkE95++23v8pdffpmjR48yZswYXn/9de/yMWPGFCmAHzhwgEceeYTatWszf/78XH1ply1bxo033sjDDz/M0qVLL7qv8PBwtm7dSq1atXItT0pKom/fvrz88ssMGzaMwMBAb3PrCRMmUKVKlQs2r/bl2WefZcOGDbz88ss89thj3uV2u527776bmTNncsMNN9C/f3/vulWrVtGgQYNc+7Hb7dxyyy28//773H///bnK/uCDDxIfH8/YsWN5/vnncz0uNTUVt9udr1x///03S5YsoXnz5t5lDzzwAD/++CPz5s3j5ptvLtLrvFTbtm3joYce4s0330RRFADefvttXnnlFQYOHEifPn2YOnUqFosFgKuuuooHH3yQd999lxkzZnj389133/H5558zcOBAPvvsMwIDA73r3nrrLV5//XXGjx/PG2+8ka8Me/bsYdWqVd4WDy+88AIDBgxg/vz5/PjjjwwZMgQwTniMGzeOoKAg/vzzT1q0aOHdx2uvvcakSZN48sknC2xJ4uu1Dx8+nMmTJ2MymQAYPXo03bt35/333/cG8IEDB3oDeI8ePYp8LAohhCgZ0gRdCCFEsUyfPh1FUby1sgB33nknYATqgsTFxeUK32A0YTebzfzzzz/eZQ6Hgzlz5hAaGsq///3vXNvHxsZy2223Fbqsn3/+OXa7nTfeeCPfQFY9e/akX79+bNmyhZ07d150XzabLV/4BiOY33XXXSQlJeV6HcWVmJjIzJkzadOmTa7w7SmDpyb7u+++y7Uub/j2bP/ggw/icrlynWTYtGkTa9asoXnz5j4DWWhoqDdQ5vTQQw/lCt8A9957L0CJvPaiCg4O5sUXX/SGb4Bbb70VgJSUFF577TVv+Aa4+eabsVgsbN26Ndd+PvzwQ0wmE1OmTMkVvgGeeOIJIiIiCgzGTz31VK73KjAw0HtC4+uvv/Yu//7773E4HNx///25wrdnH9HR0SxcuJDjx48X6rUHBQXx2muvecM3QPPmzenatSt79uwhNTW1UPsRQgjhH1IDLoQQoshWrFjB7t276d69e67AN3DgQMLCwpgzZw5vvPEGVapUyffYdu3a5VtmsViIjIwkKSnJu2zPnj1kZmbSuXNnn/vp0qUL06dPL1R516xZAxiDxm3evDnfek+/2z179uQLRb7s3LmT999/n5UrV3LixAnsdnuu9QkJCYUq14Vs2LABl8uFqqo+LxvlcrkA2Lt3b67lR44c4b333mPx4sUcO3aMzMzMAsu2bt06AK6++upcAe5ifP0NPSclcv4N/aVRo0YEBwfnWuYZtCw8PDxfc26TyUSNGjVyhdzMzEy2bNlC1apV+fjjj30+j9VqJSEhgXPnzlGtWrVc67p3755v+27duqEoClu2bPEu8xx/vXr1yre9zWaja9euzJkzhy1bthRq1PNGjRoREhKSb7nn75GcnOyzybwQQoiyIQFcCCFEkXmCb87abzBq/W655RamTZvG999/z4MPPpjvsQWNkG4ymXI1d/bU3NWoUcPn9nn7JV/IuXPnAPjggw8uuF16evpF97Vu3ToGDRqEy+Wid+/e9OvXj9DQUFRVZevWrcyfPz9fIC8OT5k3bdrEpk2bCtwuLS3Ne/vQoUNcddVVJCUlERcXx1VXXUVYWBgmk4nDhw8zc+bMXGVLTk4GKPLlrXz9DT0B3leT9dLmK2CazeYC14FRXs9JDDBaHOi6zrlz57wjshckLS0tXwD3dTwGBAQQGhqaa/A2z+2Cjt+aNWvm2u5iLvT/BGXz9xBCCFEwCeBCCCGKJDExkZ9//hkw+mJ7RlbOa9q0aT4DeGF5gpOvUaGBAkfn9sUTUg4ePEjVqlWLXSaASZMmkZmZydy5c+nZs2eudW+//Tbz58+/pP17eMo8cuRIJk6cWKjH/Pe//+XcuXP897//9XYH8Pjxxx/zjYTuaVlQEjX2FZ3n/Y6NjWXlypVFfvypU6fy1bRnZWWRmpqa65jzPE9Bx+/JkydzbSeEEOLyIgFcCCFEkXzzzTfY7XZat27tsykywKJFi9ixYwfr1q3LN8p0YTVt2pTAwEB27txJcnJyvmbonmblhdGpUyc2bdrEypUrGTBgQLHK43HgwAGqVq2aL3wD3ste5aWqKpqmFel5OnbsiKqqrFq1qkhlAxg0aFChyub52/z999+43e4iNUO/3ISEhBAbG8vevXs5e/YsERERRXr8ihUr8o1LsHLlSnRdzzW6ftu2bZk7dy7Lli3jmmuuybW93W73Htdt27Yt5ispmNSKCyFE2ZNB2IQQQhSJp/n5hAkTmDJlis/p4YcfBi48GNvFWK1WbrrpJlJTU3nrrbdyrduxYwfffvttofc1cuRIrFYrzz//PHv27Mm33u12F/payHXr1iUxMZFt27blWv7ll1/y119/+XxMREQEZ86cydcf+0KqV6/OsGHD2Lp1K+PHj8/VXNrj2LFjuV6P53JSeV/LX3/9le+60GD05Y6Li2PHjh0+m12npaV5m6lXBmPGjMHpdDJ69GgSExPzrU9NTWX9+vU+H/vWW2/l6v+emZnJa6+9BpCrNcKtt96K1Wrl888/z3csvv322xw/fpzrrruO6OjoEnhFuXlOKhw9erTE9y2EEKJwpAZcCCFEoa1YsYI9e/bQtGlTunXrVuB2t912Gy+//DI//fQT48eP9zmIWmG8/PLLLF26lA8++IANGzYQFxfHqVOnmDNnDtdccw3z5s1DVS9+LrlJkyZ8+OGHjBkzhri4OK655hoaNWqE2+3m2LFjrFmzBrvdzuHDhy+6r1GjRvHXX3/Rr18/brzxRsLCwti4cSOrV69m8ODB3ub5OfXp04fvv/+eW265hW7dumGz2WjVqhX9+vW74HNNnDiRAwcOMGHCBL777ju6detGzZo1OXnyJPv27WPdunW8/vrrNG3aFID777+fGTNmMGLECAYNGkR0dDQ7d+7kzz//5KabbmL27Nn5nuOTTz5h4MCBTJw4kfnz59OrVy9MJhPx8fH8/fffzJw502dt/+XozjvvZPPmzXz66ae0a9eOq6++mrp165KcnMzhw4dZuXIlffr0yXddb4BmzZoRFxfHoEGDvNcBP3ToEP379/deggyMkyQTJkzgiSeeoE+fPtx4443UrFmTNWvWsGLFCmrVqsXkyZNL5fV17tyZkJAQZs+ejdVqpXbt2iiKwrBhw+Ra4EII4ScSwIUQQhTa//73PwDuueeeC24XHh7OoEGD+P777/nuu+8YOXJksZ4vMjKShQsX8sorr/DHH3+wceNGGjduzFtvvUVwcDDz5s0rdF/ZIUOG0KpVK/773/+yZMkSFi1aREBAAFFRUVxzzTUMHjy4UPu55ppr+Pbbb5k0aRJz5sxBVVU6dOjA3LlzOXTokM8A/uabb6KqKosWLWLNmjW43W5uv/32iwbw0NBQfv31V7766it++OEHfv31V7KysqhRowZ169blxRdf5MYbb/Ru36pVK+bOnctrr73GwoULcbvdtGrViq+++ooqVar4DOB169ZlyZIlfPDBB/z666988cUXWCwWatWqxd13353vcmOXu4kTJ3Ldddfx+eefs3z5chITE6lSpQoxMTHcf//9DB061Ofjpk2bxsSJE/n+++85efIk0dHRPPPMMzz++OO5Lo8GMGLECBo2bMiUKVOYN28e6enpREdHM3LkSMaOHVukAQaLokqVKsyYMYPx48cze/Zs7wB+Xbt2lQAuhBB+oiQlJellXQghhBCiqF599VUmT57Mu+++y/Dhw8u6OKKSat26NUeOHCmTy68JIYSoeKQPuBBCiHLN1wjd27dv55NPPsFisVy0FlkIIYQQoryQJuhCCCHKtWuvvZY6deoQGxtLUFAQ+/fvZ+HChbhcLl577TXvdZOFEEIIIco7CeBCCCHKteHDh7NgwQLmzJlDSkoKISEh9OzZk4ceeojrr7++rIsnhBBCCFFo0gdcCCGEEEIIIYTwA+kDLoQQQgghhBBC+IEEcCGEEEIIIYQQwg8kgAshhBBCCCGEEH4gAVyIErJ3796yLoKoROR4E/4kx5vwJznehD/J8Sb8TUZBF0KIosrIQDl3DiUxMXtKSkJJTETNcTvvOt1qxfHAA9iffRYUpaxfRbnjdsPBgyrbt6ts325i2zZjcjjgnnscPPOMXd42IYQQ5Zq6Zw8BL7wAuo79ySdxd+lS1kUS5YwEcCFE5aXrkJxshOazZ41Q7WNS8y7LyirW0ynp6QS89RbOm25Ci40t4RdTcdjtcOSIysGDKrt2qezYYWLHDhO7d6tkZflO2BMnBjBokJNWrTQ/l1YIIYQovKAHHsC0ZQsA5r/+IuvFF3E88gio0vBYGCSACyEuDy6XUdvsCcmeQJ2YaAToHPe96xMTUdxuvxdV3bv3sg/gug6HDyts22Zi504TBw+qHDqkEh+vcuyYgq4XvSp7926TBHAhhBDll9vtDd8AittN4EsvYV65ksyJE9Hr1SvDwonyQgK4EKL80TSj2fbp0yinTqGcPYt6sRrq5OSyLnWhKXZ7WRehxJ08qbB+vYkNG0ysX29m0yYTKSkl2168mA0PhBBCCP8o4Pvd8vvvWH7/HVfnzjhvuQXHHXdAaKifCyfKCwngQgj/yMpCOX0a9cwZI1SfPo1y5gzqqVMoZ84Y606f9i4vi5rpwtKtVvRq1YwpPNyYqlbNPZ1fplWtSsDkyVjmzs3eQQUP4BkZsHmzKVfgPnq0ZJrWVa+uERur0aKFm02bTKxZk/015XBIB3AhhBDlmMNxwdXmtWsxr12LbcoUMr76Cnf79n4qmChPJIALIYpP04xa6JMnUU+eRDk/qXnnp06hpKSUdWl90oODvWFaq1YNPSLCCNCegB0Rkb2ualX0iAgIDi7SIGpajRq57lekGnBNg7171Vxhe/t2Fbf70sJwrVoadetqNGyoERvrpmVLN7GxGpGRunebceMCcgVwqQEXQghRnhV2jBj16FGCr7+ezEmTcN59dymXSpQ3EsCFEL6lpaEmJKAcP456flISElCPHUM5ccII16dOobhcZV1SLy08PFdo9gZpHyHaE7Cx2Uq/YHmfo5wmyfR0I2zv3m0MiPbPPyb++cdc7KbkYWE6LVu6adXKTZMmGg0aaNSvr1GnjkZAwMUfn3ebCnTeQgghRGWU5/tdi47G/u9/Y/n2W8xr1uRap9jtBD3yCM5583Dcfjuu666DwEB/llaUEQngQlRGmZmoR4+iHj6McuQI6rFj2QHbE7bLuMZaDwtDq14dvUYN9OrV0SMijADta4qIQA8PB5OpTMtcED1PAC/LGnC7HXbtyg7Ze/aYOHxY5ehRhbNni9+M3GrVad3aTYcObjp2NKYGDbRLumyY1arnul/QCOlCCCFEeZD3+10PDcUxYgSOESNQDh/GNmUKts8+y7WN5bffsPz2m7Ht3XeT9fzzEBTkz2ILP5MALsTlKCMD9cgRYzp8GOXwYVTPdOQI6smTfi+SbjJ5w7RWo4Zxu0YN43b16uiRkcb986G7UFWkFUXeGnA/BfD0dNi2zcTmzdnTrl0qLtelB9kGDYyQ7QncrVu7S7wxQd5D4CJd64QQQoiylff73Wr13tTr1iXrrbdwd+lC4L/+hZKRkWtTJTUV24cfYl60iIxp09CaN/dHiUUZkAAuREWk60Zt9b59mPbvRz140AjZ5wO3evq0/4oSFoZWsyZ6ZCRaVFSuuR4VZayrWRO9atXKew3MPEmyNGrAs7Jg40ajn/aWLUbY3rtXRdMuPWyHh2t06JAdtjt0cBMRoV/8gZfIZpMacCGEEBVHvhpwH5UJziFDcLdoQdDIkZi2b8+33rRzJyF9+pD18ss4b73V+P0kLisSwIUox5TERNT9+1H37TOm/fsxnZ/nPXNa0nSLxQjQtWqhRUejx8QY8/P3PSFbmkldXN4m6CXRBzwpycSCBWZWrzazerWJjRtNlzxKuNmsU6eORrNmxtSihRG2GzXSyuTcifQBF0IIUaHk/X4voGmY1rIlacuXY1q/HsusWVhmz0Y9dcq7XsnMJHDcOAKefRZ3jx44hg7Fefvt5barnSgaCeBClLXztdmmnTtRd+ww5p7QffZs6TylqhqBuk4d7+QJ2FpMDHpMDHr16pW3xrqkXWITdF2HQ4dUVq82eQP37t3Fv3RJ7doarVq5zwdtNw0bGgOjRUXp5eq7XWrAhRBCVCSFqQHP3ljB3akT7k6dyHruOQKffBLr99/n3sTtxrxkCeYlS3BNm0bmlClosbGlUXThRxLAhfCnpCRMu3Zh2rHDCNvn52pSUok+jW4yGTXVdeqg1a1rTDlu67VqgcVSos8pClbUQdiOH1fYuNGo1f7nH2OemFi8kyGNGrlp2zZ7atNGo1q10m8+XhLKqOu8EEIIUTx5a8Bz9AG/oNBQMj/5BFevXgQ+9RRKZma+TcwbNhDSuzf2f/0L5623ojVtWqRLooryQwK4EKVEOX0a0+bNmDZtMuabN6MePlxi+9fDwnA3aYLWqBFaw4Zo9ep5g7YeEwNm+fcuN3y0pbbb4fBhlUOHVA4cUNm3zxiRfPdulRMnihe269bV6NrVRfv2Rthu1cpNWFgJlL+M5K0Bt9vlh4YQQojyS8kzWugFa8DzPVjBeddduHr2xPrll1h+/RXT7t25N3E6CZg8mYDJk9FiYnBdey32MWOMMC4qDPmFLkRJyMwkZONGrPPmYV67FtOmTajHj1/ybnWbzQjXjRrhbtwYLcekR0TImc9yStfh3DmF48cVEhJUTq6I5QwvcYQ67KcRB+bHcjQqDF0v/t9PVXVatTICd1ycmy5dXMTEVIya7cKSPuBCCCEqlEL2Ab8QvV497C+8gP2FF1D37CHglVew/Pprvu3U48exTp+O5euvcd55J1lPP21UwIhyTwK4EMWgHD1qBG3PtGULVVyuYu9PDw7G3bw5Wmws7hYt0Jo1w924MXrt2jLgRhnTdUhLg6QkJd907pzC6dMqZ84onD2rcPq0wpkzKqdOKXkGRIs7P51XjDHYQkN12rd307Wri65d3VStupv27Rtd6ssr1wICpA+4EEKIiqNIfcALQWvalIyvv8b8888EPvVUroHavM/pdhs15t99h7tDB1ydO+Pu0gVXnz6X1yVdLyMVLoC//fbbzJ07l3379mG1WunYsSMvvfQSsTIggSgtuo566BDmRYswLVuGee1a1GPHircrkwmtSRPcsbFoLVrgjo3F3bIlet26MuBZMeg6OJ3GCWe7XSEz05hnZRlhzdc8M9PYLj1dISMj9+3UVEhLU0hLU0hNNaa0NHC7/Rv8bDadNm3ctG/v5oorjKlx49wjke/dq/m1TGUhb9c5qQEXQghRrpVADbgvrsGDSe3dG+s332D++2/MK1bk6yeu2O2YV67EvHIlAFr16jiGD8dx//3o0dElUg5RMipcAF++fDn3338/V1xxBbqu88Ybb3DjjTeyZs0aqsp18kQJUc6dM0adXLwY86JFxeq7rVutuFu2xN22LVrbtrjbtsUdG1uhz0Z6Aq8n6PoKvA5H9txuB4fD2MZuz942732Hw3i8wwFOp4LTCS6X8VxOp5Lvds7nu5Rm3GVJUXRiYnTq1dOoX1+jcWONJk3cNGmi0aiRJmPkIU3QhRBCVDB5v6hKKIADEB6OY/RoHKNHQ1YWlvnzsb3+Oqb9+31urp45Q8CkSdjefRd369ZoLVvibtkSV58+aM2bl1y5RJFVuAA+e/bsXPc/+eQT6taty+rVq+nXr18ZlUpUeJmZmNaswbx4MZZFi1C3bEHRi9afNqtWLdTu3XF37oyrY0fjMhGFHf2yBKWlQUKCyvHjRnNoT0jOHYCzA29WluK979nGcz9njXFWlkJGBmhaxQy8/hYaqhMVpREdrRMTcIb6C6dRi2M05AD1mpipvuyrinwuxi9kEDYhhBAVSb4m6CUZwHMKCMB58804b7gB69dfY3vnnQIrixSXC/PGjbBxo3eZOzYW55AhuHr2RGvUCL1atdIpp/CpwgXwvNLS0tA0jfDw8LIuiqhAlLNnMa1ejXn1akyrV2PatAnF6Sz043WbDfcVV+Du1Mnoa9O5M3uSk2nSpEmpldnthpMnFU6cUL2DeyUkKBw/rnpvJySopKZKSClpQUE6VarohIcbk+d2tWo61avrVK+unZ9n3885+ri68xChC5/13nerzUiT8H1ReU9Q5G3ZJ4QQQpQreWvAS/tMu8WCY8QIHMOHo8THY163DtPKlVhnzUJJSSnwYaYdOzC98or3vhYejrtdO1xXXYXrqqvQWraUgX5LUYUP4E8//TStW7emc+fOZV2U4nG5UI4dQz16FOXMGdRz51A809mzKImJKBkZRvtbh8O4vIFnAuMf22ZDDww05gEB6EFB6JGR6FFRaDVrokdHe+d6eHjl+4dKTcW0bRumLVuMad06THv2FGkXutWKu2tXXH364OrRA3fbtvlrt5OTi13ElBSj1vrEidyB2rh9fiTtk4rUPvtgNuvn/w2MeUCAjs1mzD33AwIgMNBYHhioExRkhOrgYJ3AwOzbISEQEqITGqqfnxv3L7khQ54vYEWSZKFYrVIDLoQQouLI+/1eajXg+Z5YQa9fH2f9+jiHDiXr1VexzpyJderUfJcy80VNSkJdvBjL4sXw4ovoISFotWsbU8OGRoVTp07o9epVvhxRCip0AH/22WdZvXo1v/32G6YLjBS9d+9eP5YqP8XlwnboEEH79xMQH4/1+HFsCQlYExKwnjqF4nb7rSyuKlXIbNSIjMaNyWzUyDtpISF+K0OpcbmwHT1K4KFDBBw8SNCePQTt2YPtyJEiNycHyGjalJQuXUjp3Jm0du3Qcoao+Hifj/F1rOk6JCebOHbMlm86fdrC6dNWMjIqzkjnJpN2PuRqWK0aVmv+2xZL9txqzZ7bbLp3O2Oe87aOxaJjNmuYzfoFp+z9aKV2uXOHA86eNaZLZTl1irY57rvS00vkc6msP9tKW2KiGWjnvZ+R4b7sX3N5Ju+98Cc53oQ/ldTxVvfkSSJz3D+VksLpsjqWr7wSrrwS85kzBO3bR+DevYStWUPYunUo2oUHclXS0jDt2oVp1y5jwaefAuAKC8NRowauiAgckZFGjmjShMxGjXBWrSpX7jnvYi1iK2wAf+aZZ5g9ezZz586lfv36F9y2NJsF55Oainn9etTNm43mHdu3o+7ZU6TmzaXJnJxM6D//EPrPP7mWa/Xq4briCqNZdfv2Rg1vaGgZlfIC3G6jxUB8POqhQ6jx8Zh270bdswf1wIFLep+1evVw9epl1HL36oVevTqBQCBQ8yKPdblg2bJ4FKUhhw6pHDxoOj9XOXRIJSXFf2cLrVadqCidmBiNmjWNml2bLbtW2Jgb2+WsOc573/MYT41xQIBRW1y4wcEUQD6EPZQ8favMLtclfy7t3bvXv59tZSA1Nfd9l8t82b/m8qoyHG+i/JDjTfhTSR5vgXlavNWoXZvwsj6WmzSBuOxLoaaePo3lp58wL1mCun+/8fu5kKOcmlNSMKekgI+B33RFQQ8PR69eHa1BA7RGjdAaN0arUQO9ShVjiolBr1Gj0teiV8gAPm7cOGbPns2vv/5K06ZNy7QsysmTRl/iVaswr1qFunXrRc8qlUdqfDzW+HiYMwcw/om0Zs2MEbybN8fdpIkxSENUVOk1Y8/MNJrhnziBkpCAevIkyokTqAkJKMePG6H7yBGUS7jetoeuqmitW+Pq2hVXXBzuLl0KdYkGTYP4eJUdO1R27TKxc6fKjh0m9u1TcTjaXHK5LqZatfODesUY8+hozXs7KkojJkYnIkKv7J9r5U7eJmiKpwuJuCDpAy6EEKJCyfv9Xg5HW9Vr1MDx4IM4HnzQWKBpqPv3Y160KPsSZ3nPgBeCousoiYmQmIjpArX+ekAAWp066NWro4eFoYeGoletanSZjY42lgcHowcFQZUqaNWrQ0jIZRXaK1wAHzt2LN999x1ff/014eHhnDx5EoDg4GBC/NGM2u3GtHYtll9/xfz775j27bvkXWo1axoHYmQkerVq6BERaNWqGQdjtWrooaFGf2OrFd1iMW7bbEbb5qws46xVZmb2PDUV5dQpI8ieOJE9P3483zUDC6Loeu6mJznoFgt6jRroNWqgRUYa/yieqlGrFd1qBbPZuO9yGX3XjeG1s+epqShJScaUmGjMS+nXta4oaI0b427TxpjatsXdocMFa/h1HY4dU9i508SuXUbI3rlTZc8eExkZJf8BYLXqOYJ1znDtCdYaUVF6efwcF4XhK0nq+mX1ZVIazGbjcm2eS825XMZl6Eqr24EQQghxKcqsD/ilUFW0Jk1wNGmCY+RI0HVjLKojR4yWpps2YV67FtPGjca4VJdIycoyAnoRmubrAQFGJjKaZBoBPTzcyEpVq6IHB0NQEHpgoLFNYKCRTXIuCwhANwYFMtYVvllniatwP2OmTp0KwODBg3MtHzduHM8880zpPKndjnnpUiN0z5+Pevp0kXehRUfjjo1Fa9ECrWFDtLp1jalOHeMA8AdNM2qRt2/HtGMH6s6dxnzfviL1Q1ecTpTjx+H48XLXyFirWROtaVPczZoZNfht2uBu2dI4c+aDrsPp0wo7d6rs3Gk6Pxm12yXZbDwwUKd+fc17zecGDYzbtWoZIbtaNam1vqyZzegmk/f/TNE04+SUXOz7ghTFOHeR87yh3S4BXAghRDnl71HQS4OioEdEGBWC7drhGjwYOxjdQE+fRjl5EvXkSdT9+41BjrdtQz10COUSBiO+aJGysozsUcJ0k8kI5FarEdDPz7Fas8P6+RCPqmY/0GYzQr3VinLuHOrx47hbtiTrjTcK9bwV7mdMUlKSf55I1zGtWYP1q6+w/PJLkZpiuJs2xd2lC+5WrXC3bIkWG1s+rq+nqkafjAYNcA0cmL08M9P4B/rnn+ypHA9+olWvjlavXvbUqJERups2hQtcji4jA7ZuNbF9uylH4FY5e1Yt8DFFUa2akyZNFOrVMwJ2/frZYbtmTQnYlZ7NZhyEHllZEsALwWbTyczM/udxOBSCg4s+qKIQQghR2vLVgFfEAF4Qk8noihoVhc/Otk6n0ao1IQHT/v2o+/YZwTxHi1f16NFiNW8vLYrbDWlplMhP9CK05K1wAbzUZWRg/eorrJ9/XqhLVelms9Gk2dOXuGtX9OrV/VDQEhQYiLtTJ9ydOmUvS07GtGmTMcDZ3r2Ydu9GOXoU9dQplLS0UimGbjYbzUuioow+IFFRaJ7bNWsaLQbq1SuwNjsnT9jetMnExo0mNm82sXu3WiKX8apWTaNFC43YWDfNm2u0aOGmRQuNM2f2yKAxokC6zZar6ZbicCAx8uKkH7gQQogKI28f8Eu+jmkFYrEY3WkjI9HatvW9jXFpIGNMp6Qko0tqzq6zCQnG8owMlLQ04/aZMxXi8q3qsWOF3lYCuEdKCrapU7F++CHqmTMX3FQPDcV53XW4Bg7Eec015XO08EtVpQru3r1x9+6df11GhvGPcvo0yqlTxvXKz1+nHKcz+1rlLpdxOQKbzegD45lbrUbfjapVs/tvhIdDcHCx+8RmZsLatSaWLjWzbJmZf/4x4XJdWtgODdVp0SI7ZHsCd2Sk79rsixw2orKTJFkseX+7FHKgViGEEML/8n63X0414CVBUSA8HO0CLVbz0XVITzf6pWdlGeNdpaUZte3nzqEkJxsVHJmZRnDPzPTeJjMTxXM7Kyt7npVl5JkSHDhbOXEC3O5CXYqt0gdw5exZrB99hO3TT1FSUgrcTouMxNm/P66BA3H17Gk0J62sgoLQ69fHfZHLv5UmhwPWr88O3OvWmXA4ihe4AwN1mjbNDtktWmg0b+6mdm1pNi5KUJ4kqdjtUgNeCAEBud+lrCwF5J0TQghRDuW9nFeFGIStvFMUCAlBDwkp2W9/XQen0wjpDocxSLTDYZxEcTiM4J6VZYR/z+C5nsdlZXmDvh4ejh4TgxYTU+iKxMobwDMyCJgwAevUqSjp6T430c1mXP364bj7blxXXy0Xly9DLhds3Ghi2TIzS5eaWLPGnKtfaGE1bOimbVs3LVsaITs21hgMTf60orTl6wcmVbmFkve3i7xtQgghyi2pAa84FCX7KlPnF/nr9H6lDODqnj0EDR+OaccOn+v10FDsDzyAY9Qo9MhIP5dOgHFyafdulUWLzCxebGblSjOpqUUL3A0auGnf3pjatnXTpo37QmO0CVG6JEkWS94acLtdmqUIIYQon6QGXBRGpQvglm+/JfDJJ33WemtVq+L4v//D/tBDFxxNW5SOU6cUFi0ys2iRmSVLzCQkFG108nr1NHr2dHmnmBhppirKj7w14BVhQJHyIO9vF3nbhBBClFt5T65LABc+FCuAHz58mEmTJrF06VLOnj3LzJkz6dGjB2fPnuWNN97g7rvvpl27diVc1EujHjhAwDPPYPn993zrtJo1sT/8MI4RIwo1wrYoGZ5m5X/8YWbhQjObNhXtcIyJyR2469WTwC3KMRlNrFhsNqkBF0IIUTFIDbgojCIH8N27d3P99dejaRodO3bk8OHDuN1uACIiIli3bh12u50PPvigxAtbXLbXXsP2/vtGx/o8HEOHkvn225fnSObl0P79KvPnGwOnrVpVtGblNWp4ArebXr1cNGyoySBposLIVwMuAbxQpOW+EEKICkP6gItCKHIAf+mllwgNDeXPP//EZDLRuHHjXOuvu+46fvrpp5IqX4kImDQp3zI9IIDMiRNx3n13sS99JS7O5YJ//jFquefNs7BjR+FHOwsK0une3cWVVxpTbKwEblGBSVvqYpE+4EIIISoElwvF5fLe1VUVzJWut68ohCIfFStXrmTs2LFERkZy7ty5fOvr1KlDQkJCiRSutLji4sicPBktNrasi3JZSkmBBQsszJtnYckSM8nJhf/B3L69i6uvNgJ3p05u6TojLhtSA148ct5CCCFEheCr/7fUHAkfihzAXS4XwcHBBa5PTEzEVE6v6aRFRJA1fjzOoUPlH6KEHT2qsGSJmQULLPzxh7nQtVTVq2v06OHi2muNKTJS+nGLy1TePuCSJAtF+oALIYSoCPJ2dZX+36IgRQ7gsbGxLFu2jPvvvz/fOl3XmTt3brkbgM3D/thjOG+9tayLcVnQNFi3zsRPPxmBe9++wp10MZl0unVz07+/k969XbRoIc3KReWQrwbcx5gUIj+pARdCCFEhSP9vUUhFDuCjRo3igQceYOLEidx8880AaJrGnj17GD9+PBs3buS7774r8YJeKt1kkvB9iRISFFatMrNihYnffrNw7FjhLhNWrZpGnz5G0/Lrr3dRrZrUcotKSJJkseT9/SLnLYQQQpRLcgkyUUhFDuC33HILR44c4fXXX+fNN9/0LgMwmUy89tprXHvttSVbyhLguuYa9Jo1y7oYFYquw9atKr/8YuGXXyzs2VP4rgX16mncfLODG25w0a6dG7Vol/QW4rIjfcCLJ28T9KwsaTIjhBCi/FHynFjP+70vhEexhuZ77LHHGDJkCL/88gsHDhxA0zQaNGjAoEGDqFevXkmXsUQ4br+9rItQ7uk6bN6ssmaNmfXrTaxebebIkcIlZ7NZp1Mn4/Jgffu6aN/eLU3LhchJ+oAXi1yGTAghRIWQ93s97/e+EOcVe2z82rVrM3r06JIsS6nRwsNxXX99WRejXMrKMi4TNneuhblzLRw9Wviq6qAgnb59ndx4o5OrrnLJpdSFuBBpS10sUgMuhBCiIsg3CJvUgIsCVIqL0zlvuUUGQjgvIwP++MPMn39a2LjRxK5dKi5X4X7Qms06V1zhJi7OTVyci549XVxgQHwhRA55R0PN21RN+CbnLYQQQlQIeb/XpQ+4KMBFA3ibNm1QitiWWFEUNm3aVNwylTjnHXeUdRHKzNmzCtu2qezYYTQp/+MPMxkZhf97Wq06V13lYvBgJ/36OQkPL72yiv9n767jpCr3B45/zuR2J7D00iUdIiUhIgqICCqKgYleO373XgsDWzHvRbkiBiAioCBId3cv3dsdU+f8/hh2YbaYXbb3+3695rUz55yZeXb3mTPn+8T3ETWajKUuFekBF0IIUR3kz+0iPeCiKFcNwHv16lXiALyqcXTsWNlFqDCaBocO6Zg/35k47cCBkq3J7unpDLi7d7fTpYuD9u0deHqWU2GFqEUK9IBLAO4WabcQQghRLUgPuHDTVQPwr776qiLKUb6qeQNCceLiFBYtMrB9u4GjR3UcPaojPr5kKcfr11fp1s3OsGE2brxRhpULUS7yt4RLJOkW6QEXQghRHRToAZcAXBShVswBrykuXlQ4elTH+fM6zpzRsXy5gY0b9WhayS5I69ZVGT7cxsCBziXCZF1uIcqfzAEvHZkDLoQQolqQdcCFm0ocgK9fv77Y/Yqi4OHhQZ06dYiIiCh1wWqz7GxITlbIyFBISlJYudLA4sVG9uwp2XByAL1eo1UrlVatHLRu7aBnTwcdO8q63EJUOBlLXSoeHtIDLoQQouqTOeDCXSUOwIcNG+b2nPDo6GheeeUVbr311hIXrDjTpk3js88+IzY2lhYtWvDOO+/Qs2fPMn2PipCZCVlZClYrxMcrLFtmZMkS5xrcJe3VvpLZrNG7t53hw20MG2aXHm4hqoD8X8QyB9w90m4hhBCiWpA54MJNJQ7Af/vtN1599VWys7MZP348TZs2RdM0jh07xowZM/D29ubZZ5/l9OnTfPfdd0yYMIEffviBm2++uUwK/Ntvv/HSSy/x4Ycf0r17d6ZNm8bo0aPZtGkTUVFRZfIe5UHTwG6HI0d0LFjgTJB28GDJe7QL066dg2HDbHTo4CA6WiUqSsUgkwuEqFokkiyV/H826QEXQghRFUkPuHBXicO0VatWYTAYWLduHeZ8V0YPPvggQ4cOZceOHbz66qvcf//99OnTh08++aTMAvAvvviCcePGce+99wLw/vvvs3z5cr777jteffXVMnmPspCUpDBnjpFffnFmIrdYrv2iUVE02rZVadhQpW5dlUaNVAYNstGwofRwC1HVFegBlzngbsmfhE3aLYQQQlRJ+b+gTKbKKYeo8kocgP/yyy88/fTTBYJvAE9PT8aMGcMnn3zCq6++mvf4o48+KpPCWq1Wdu3axaRJk1y29+/fn82bN5fJe5TG2bMKP/1k4tgxHenpCqmpClu36rFaSx90h4er+Pho+PhAw4bOQHvQIDuhoRJsC1Et5f8ilkjSLZI8XgghRLWQ/wtKesBFEUocgKenp5OSklLk/qSkJNLS0vIeBwUFldk64omJiTgcDkJDQ122h4aGEhcXVybv4S6HA44f1zF1qpmffzZis5X8d9TpNAICNMxmZy9Py5YqQ4Y4s5PXqSOBthA1ikSSpVKwB1yGoAshhKh68o9sk2XIRFFKHIB36dKFr7/+mkGDBtGxY0eXfTt27OCbb76hS5cuedv2799PnTp1rr2kV8gf0GuaVmyQHxMTc83vabcr/PZbCAsXhnDhgpm0tJInStPrNTw8HHTokEH//snccEMKAQGOAsdlZkIZFFlUgrKoa6JmMsbG0v6Kx47MzGuuL7WhviUnG4AOeY8zMx214veuiuTvLiqS1DdRkcqivtWPiyPsisdxaWnESz2ulaKjo4vdX+IAfMqUKQwdOpQbb7yRjh070rhxYwCOHz/Ojh07CAgI4N133wUgJyeHjRs3Mnz48FIUvaDg4GD0en2B3u6EhIQCveJXutofoTiaBitWGHjlFQ8OHy5Z0rRGjRzcfbeNMWOsREZq6POergBBl26ipoiJibmmuiZqNiXI9fNusNuvqb7UlvqWnu762G431Irfu6qpLfVNVA1S30RFKqv65pmvxzu0Xj0CpB6LQpQ4AG/RogUbN27ko48+Yvny5cyfPx+AqKgoJk6cyFNPPUVkZCQAHh4eV103vCRMJhMdOnRg5cqV3HbbbXnbV65cWWZBvsUCX3xhZt48I7GxznW47far93Q3auTgoYes1Kun4usLYWEqrVqplNHoeyFENaflmwMuy5C5R0buCyGEqBasVtfHMgdcFKFUi1WFh4czZcqUsi6LWx5//HEefvhhOnXqRLdu3fjuu++4ePEiEyZMuObXPnhQx0MPebFvn3s93f7+Gs2bOwPvESNssvSXEKJoEkmWisHgzJehqs7WTLtdwW5HzrdCCCGqFJkDLtxV7S5hRo4cSVJSEu+//z6xsbG0bNmS2bNnU79+/RK/1vHjOhYtMpCcrBAXp2P2bGOxCX4UReOuu2w891wOdetqGI3X8psIIWoVgwFNp0NRVQAUhwOJJK9OUZxrgWdnX95mscifTQghRBUjWdCFm0p1CRMTE8PMmTM5efIkycnJaJprllpFUViwYEGZFLAwDz74IA8++OA1vcbHH5t54w2zW4nUfHw0evWy8/LLOXTooF7T+wohaqnCIsmcHPDxqbwyVRNms0Z29uVztcWi4O0tK0UIIYSoOqQHXLirxAH43Llzefjhh9Hr9URHRxMQEFDgmPwBeVWiafD662Y++aT4VqlRo6z86185RERo0oAlhCgTmtmMckUArlitVN2zZdUho/eFEEJci6ws58ipfOlYylb+LycJwEURShyAv/3227Rq1Yq5c+cWm3m8KtmzR8fBg3rS0xU2bdLz669Ff/r8/DQ+/DCb0aNtFVhCIUStkD+SzNdaLgqX/xpGAnAhhBDu2L9fxyefOJMr6/UwaJCdUaOsDBpkx8urbN8rf3JVTXrwRBFKHICfO3eOyZMnV5vgG+CGG3yL3Ofnp/HIIxZCQjTCwlT69bPj71+BhRNC1B75IknFYpEecDeYza5/pZwcBeQvJ4QQohCaBhs36pk61czixZcTNtntsHChkYULndt8fDT8/DTq1GnGyy/rGTDAfm1vLD3gwk0lDsCbNWtGYmJieZSlwgUHq8ydmynzuoUQFaLAfDDpAXeL/NmEEEJcTU4OzJlj5D//MbN379VXNMrIUMjIUDh/3o/bb9d4990cHn7YetXnFVuAK0kPuCiCrqRP+Pe//8306dM5evRoeZSnwtSpo7J4sQTfQogKJGOpS8XDw7W3u7jVKoQQQtQ+u3bp6NXLh0mTvNwKvvPTNIUXX/S8lKC5dGUoMARdesBFEUrcA7548WJCQ0Pp2bMnN9xwA/Xq1UOvd63oiqLwwQcflFkhy8qoUVbq1nUONb/zThshITKEUQhRcfLPB8v/ZS0KJ+0WQgghCqNp8OWXJl57zQObrfDG2Y4d7TzzjIXISI3ffnMOQT9zRil0JaSPPvJg/349zz9voXNnR8kKk78HXAJwUYQSB+Dfffdd3v3ly5cXekxVDMCvv97OtGnZKNJxIoSoLDKWulSkB1wIIcSVLl5UWLDAyOzZRrZtKxjO6HQaN91k5+GHLfTu7ci7/u/UycFbb+WgqpCRAevWGXjgAQ+ysy93Ji5ZYmTJEiPdu9t59dUcevRwLxBXrK7D16UHXBSlxAF4cnLyVY/Zv39/qQpTXnQ6jXfekeBbCFG58n8ZSw+4e/IvGyPtFkIIUftkZzuTqM2caWLtWn2hPdgAd99t5bnncmjYsOiRrjod+PnB0KF2vvrqCM8+25zERNeZuZs2GRg2zJvZs7PcS9Amc8CFm0ocgBfl4sWLzJkzh9mzZ3PgwIEqlaht/HgrbdvKXG8hRCWTsdSlIj3gQghRu6Smws6deo4c0XPmjI5Tp3SsXm0gNbXo87+fn8bUqVncemvJspm3bp3JkiWZPPigJ7t2uYZGDofChAlerFiRQdOmxcQSdjuK43JPuabXOxceF6IQ11QzMjIyWLBgAbNnz2bdunU4HA5atmzJU089VVblKxP//Kdc5AohKp/MAS8dabcQQtRWJ08qbNliQKeDevVU6tVTiYzU0Jc8z1iV43DA1q16Vq40EBurkJWlkJ2tcOSIjiNHdEX2cBemb18bn36aTYMGpcvv1LSpysqVmaxaZWDqVBMrVlxeviwtTeHOO71YtiyDgIAiXkB6v0UJlDgAdzgcLFu2jNmzZ7N48WKys7NRFIUHH3yQxx9/nAYNGpRHOa+JJFsTQlQJMge8VKQHXAhRW2ga7Nql57ffjCxdauDw4YKRtre3Rrdudnr1cnDDDXY6d3ZUm2mWKSmwfLmRJUsMLFtmICmpxAsy5enQwc6IETZuvdVW7HBzdykK9Otnp18/O1OnmvjXvzzz9h09quf++72YOTMLL69Cnpt//nf+uVNCXMHtAHzbtm3MmjWLefPmkZiYSMuWLXn22Wfp3Lkzt912G3379q2SwbcQQlQVMge8dGQOuBCipktMVJg928gPP5g4cKD47u3MTIUVK4x5vbSNGzsYN87G2LHO1X6qmvR0+O03I7Nnm9i0SY/DUfrWguBg50pG99xjpUWL8pte+sQTVvbv1/PLL5e/gFasMNKnjw///W9WwWWMpQdclIBbAXinTp04ceIE9erV45577uH222+ndevWAJw+fbpcCyiEEDWGjKUulfzXMdIDXvNkZMCePXp27NCza5ees2d1pKUppKUpqKpz6G2jRiqNG6t06eKgWzc73t6VXWohro3DAStXGvjhBxOLFhmKXEbrao4f1zN5sp633jLTubODIUPsDB5so3VrtdJ6xjMyYPNmAwsWGJk710hGRskKoigaLVqodOjgoFEjlagolYYNVTp1chRolC0PigKffJLNsWM6tm69HC7FxOi58UYfXnrJwjPPWNBd6sCXNcBFSbgVgB8/fpwGDRrwz3/+k6FDh+JV2NgLIYQQxZM54KViNucfgl5JBRFl6uRJhcWLjfz1l5ENG/TFBh/nz+vYsuXyY6NRo3NnB/362Rk0yEb79pUXaAhREhcuKKxYYWDFCgMrV159CLZer9G9u4PAQI2zZxVOndKRnFz4czRNYetWA1u3GnjzTQ/q1VMZMsTG4MF2unSxFz1/uQykpjqzhq9fb2D9emdDmjs93f7+GgMH2uja1YGvr4aXl0ZQkEb79g78/MqvvO7w8IAffsjillu8iYm5PCrBbleYPNmDo0d1fP55tjPXmvSAixJwKwD/4osvmDNnDg8//DCenp4MHjyYUaNGMXDgwPIunxBC1BgF5oTJWGq3FOwBr5xyiGuXmKjw229GZs0qfO1ed9lsChs3Gti40cDbb3sQGakycKCz169vX+kdF1VHcrLC9u16Vq82sHy54arDy8G5fO7AgXbGjLHRv7/NJXDWNIiJ0bF+vTOA/+svA1Zr4YHu2bM6pk0zM22aszc2KkqlTRsHbds6Lv1UiYxU3Y4VHQ5nA8KxYzqOHdNz7JiOo0d1HD+u49gxHarqXitYixYOBg92Np516+ao0snCIyI0Vq7M4JVXPJkxw/U7/JdfTOTkwH/+k41H/i8mmQMuiuFWlR83bhzjxo0jNjaW2bNnM3v2bO666y78/Py4/vrrURQFRZqehRCiePmvcvIlbRGFM5lce8BzcuT7pjqxWmHJEgM//2xi6VIDdnvZ//8uXNAxY4aJGTNMmM0a119vz7vAL4vkTEK4w2KBffv0bNumZ/t25+3YMffTlTdp4uDuu23ceaeVyMjC662iQLNmKs2aWZkwwUpSksKvvxr56SdjgSW08jtzRseZMzoWLza6bDeZNPz8nDdfX+dyXqoKGRkKGRnOn+npzizlpRURoXL33VbGjbPRuHH1WhrYxwc++yybIUNsPPmkJwkJl0cg/P67iexshemP2PG94jn5Vz0R4kolanMKDw9n0qRJTJo0iYMHDzJr1ix+/fVXNE3jiSeeYNCgQdx0000MGDAAb2l+FkIIFwWSsEkPuFukB7z6yc3k/NNPzvmf7mQ6btTIQZcuDjp0cNC6tXPIrZ+fhqYpnDyp48QJHbt361m7Vs/x40UHNRaLwvLlRpYvN/LCC57VqrdNVA+qCqdPKxw8qOfAAT0HD+o4cEBPTIyuxPO4/fw0br7ZmVSsR4+SZzMPCtKYONHKxIlWzp1TWLrUyF9/GVi92uB2Y6XVqpCQoJCQULL3vproaAc9ezoYNMg5DL66f/aGDrXTokUmw4d7c/bs5XPakiVGOm/ryaeMYhRzUaBgzhchrlDqj0LLli157bXXeO2111i7di2zZs1iwYIF/PLLL3h4eHDhwoWyLKcQQlR/EkmWSv454NIDXjVpGuzerWPpUiO//Wbk0KGr9/z16GHn5pttDBlip2nTonrFNBo1UunX7/KWs2ed82iXLjWycqWBzMyi68ShQ3oOHdLz6adm/P01brzRGQzceKOdoCDpHReF0zSIj1fyhlfn/jx2TM/x47pi61xxdDqNTp2c+QsGDLDTqVPZNQrVrasxYYKzZzwrC9ascQ5R37zZwJEjumvKPu6Oli0d9OrlXB6tZ0874eE17/PVuLHK4sUZ3Hqrt0tD4PlET0bzK4P5i3d4mTbSA15taRrYbM7RW3a7s4HKZsvdpmC1OqdBWa1cujnve3lp9OnjcOs9yuQj37t3b3r37s2HH37IokWLmD17dlm8rBBC1Cj554BLD7h7ZOR+1ZWZCatXG1iyxLlm8YULV+/pjo52cOedNkaPtlK/fuku0OvV0xg/3sb48TYsFli/3sCSJc7byZNFB/6pqQpz55qYO9eETqfRtevl3vGWLdW8jMa1UUYGnDih4+RJHadO6dA0CAjQCAzUCAvTaNhQJTRUqzHJ7jIy4OJFHRcvKpw75xyaffaskjdM++xZ3TUNuc6l02m0bKnSpYudvn3t9OnjHN1R3ry8YMgQO0OG2AFnypFDh3Ts26fPux0+rCMlRSlRr31AgEqTJpdvTZuqNGnioHFjtdKTplWUqCiNRYsyGTnSu8Cc/iUMYQlDGLp7K//YoqdrV/cCMnF1muZM9peY6Ky3drszL4HNBikpCsnJCqmpClbr5X0ZGc5taWlKXkDtcCjk5EB6unNqRU4Oec9xHlO6z33btg7Wrs1w69gyHQxiNpsZMWIEI0aMKMuXFUKImkEiyVKROeBVh8UCO3bo8zIdb9hgcGtZuIAAldtvtzF2rI2OHUs+zLY4ZjP072+nf387777rTFC1ZImBv/4yFrvmsKoqbNpkYNMmA6+/7oGfnzPzcseODjp2tHPddQ6iompOwOlwwMWLCqdP6/IC7dyh/SdP6oiPv3rrg7e3RoMGziXhGjVSadBAJSxMJSzMGaSHhqr4+lLhfzNVda41nZbmvNhOTFRIStKRmOgcWp2Y6LzFxuqIjVW4eFFX4mWx3FWvnkrHjg46d3b2bnfo4KgSSQE9PKBDB/XS+tW2vO2a5gzOc5f9y73pdM754D4+Wt7N2xv07k9pr9EiIjT+/juDDz4wM3WquUDQtiiuC4sGQZcudh56yMqtt9pq7aj09HTnShYXLzobe1TVeT5KTHR+FmNjFbKzFRwO5/b0dIX4eIW4OB3p6c6A2eFw1tPyHsVxLWy2qx+Tq5rPxhBCiOpD5oCXjozcrzyZmc6Ae+HCSA4d8mbrVj3Z2e5dAOn1zkzOY8daGTLEXiEXn1cmqJo0yUpKCqxY4ZwTu2xZ8Us+paUprF1rYO1aA+AsbEiISvPmzvXHc3v5cm9VaUVWiwXi4pwXrLGxzovX3F7d3Nu5c8o1J8DLzFQ4cEBfbCZvDw+NkBDn/H1n0Kbh48OlnxomkzOIMxg09Prc+85AMPcCPC6uLv7+HtjtzovarCyF7Ozcn877mZmXg8X0dOcSXBXJ31+jVSvHpZtKy5YOWrZUK6R3uywpCnh6gqenViOHjJcnb2949VULY8bYeP7uNNYerVvgmNxl4V580dkw07KlSqtWDq6/3l7qEUAVJTMTTp/WkZPjbJDR6509zadPO0fJpKQ4P3OK4gyOc885cXHOIBucvcnl1dhV1ZSkT0UCcCGEqCgSSZaKh4f0gFcEVYWjR3Vs3erM4rxtm4EDB3Lnjfq49Rre3hp9+zqXA7vpJjuhoZV7gRkQACNH2hg50obDAdu26Vm61Nk7vn//1bvyEhJ0JCToWL++4L6gIPVSr69GWJhKSIizFzgw0LmWsZeXs8cw976HB+h0zotVRcm97/z7ZGcr5OQ4A8uifqalKaSkXL4lJzt/JiQopKRUnbHzOTkKZ89e62c0skzKcq28vZ1D753DrR2XGmKct7CwmjM6QlybFi1U/npkFiufW85k/skmehQ4JjlZx/LlOpYvv7ytaVMHN9xgx99fQ6dzNkQ1bqzSurWDZs1UFIW8YdW+vs7zS+40GWdDlTPQDQnRMJsv5y04eVJHerqCj4+Gr6/zHJM72iU2VofJ5Dwf6fXOfBonTjinXKgqGI3O7bkNerWVweBsLDQYnKPwjEbn38Zkcm7P/XnltogI97/vqk0AnpyczNtvv82qVas4c+YMwcHBDB48mH/+858EBQVVdvGEEOKqpAe8dPL3nMrI/WvncDiHau/erWfPHn3ez7S0kkcU9eurDB7sTKTWq5fd7TWFK5peD926OejWzcG//mXhzBmFv/82smSJgc2b9SUOYpOSdCQlwaFD5VTgCmYwaERFOYeWN2yoYjY7L/6Tk5296SdPlt+w7cpgMjl7fCMjVSIiNOrVU4mKct7q1VOpX9/ZmCJBtnCHYsnhZhYxlEWspB/vRH3OsjOtin3O0aN6jh4tvCFQp9MKrKtuNmvUratitSpcuKC4DMf29dVwOCiTvAVVmY+PRlCQ87NpMml5I2j8/Z3b/P01PDwuj67x9nZu8/PT8PR0HqvXOxsscqdWeHm5BtlGY/lPo6k2AfiFCxe4cOECr7/+Oi1atOD8+fM899xzPPDAA8ybN6+yiyeEEFcnkWSp5P+zSQ94yVgscPDg5WB7zx5nAiZ3h5LnV6eOeinTsTPbcdOmavlcrKiqs/AWC4qqOrPn5N5UFeXKx3Z70cfkjoXUNJefjTSNiZEw8V4NbTwcv+jNjhPB7DgWxPbjwew+GUimxVhE4aqnoCCVqKgr53E7aNjQGXDXq6cVm41b0yAh4fKScCdO6Dh3zjncNHe+Zny8UmmfTx+fy2tZBwY6h8EHB6sEB2t5t9BQjYgIZ8AtwbUoS8qlEW0K0J+V9Lx9Gvvvep1p00z89JOpxI2b+YNvcC6xWNQSjOnpVbcym0wakZEadeqoeHlpeaOAAgI0IiI0wsNV/Pycvft6vXPUkHNkkUZAgIbB4NxnMhUcSFhdVZsAvFWrVsycOTPvcePGjXnjjTcYM2YMaWlp+NWW1ItCiOor3zeH9IC7J/8yZDJyv2jp6bBvn2uv9qFDumua+9ukiYPmzZMZMsSL66930KiRioIGaWkoaWkohzNRMjMhIwMl89L9zEyU9HTXx5f2k5PjvFi1Wp2fAavVue3KnxYLSkky2pSBdpdu91167EDHMZoQQzQxRHOUpnn3T9EAlaqTjUqHgzDiiCCWCCWWCF0c4fp4ovTnaGg4SwPjeeobL+BjtECKHi1dDwcvdRFdumm5XUkGAxiNaEZj3uPc+/UNBuobjfTOHafqY4RAI1ob52PNYCRN9SYhx5d01ZtMhyfpdg8yLt3SbR7YVQMOxYAdAw702DU9dvQoej16o4LBqJCemUJIWDB6ow6jWYent4Knj4Kntw4vXz2ePjo8vZxraPv7O3v/qvsa06Kay/99bjLRtKnKu+/m8OabORw9qru0bryODRsMbNmiv+acDOVNr3eOigkI0PISoXl6atSv7xwhEhbmbHzVNOepom5d5+iRyEjnkGxwTrPx86NWrzBRmGp9ukpPT8dsNuNVlTKhCCFEEfIvQyaRpHvyt3hLu4VTcrLC7t2uw8iPHdNdUzKqAG8rnRvF0SXsJN0CDtHFax8hOefIPncO7++tKJ+moCQno6Smojhq9vI6elSaEUMzYgrss2EggRBiCc+7xRFGLOGk4k8m3gVuOXigobjcVJxXpR7k4El2sTc/0ggkmSCSCCQ5734wiYSQgJ7cnn7AcelWCTyB8Ap4H+3KxoIr7l/ZYJB3v5DGBJeGBr2+QKPDVfeZTGA2O6cW5d6/1EVXYN8V2zAYKj5NvCh/+Ue0XfHFZTRCy5YqLVuqjBwJYCE9Hdatu7w+e27270OHdOzfr+fcOR2K4uwB9vfXSErSFehFDwpSMRic2cRzh6P7+DhHuISEaGRlOV/TanUu3diokTNAVlXylt6KiHCOgGnQQMXDg7z1rgMCtKuOihGlV23/rCkpKbz11luMHz8eg9QOIUR1IJFkqeTvAbdaa9/Fa0KCwu7denbtct5279Zz+vS1dSmEGRLpoN9LR9tmOqrb6MgOGmWeQLevYCIZUyHPr82M2InkIpFcrOyi1Fp5UxBycqhOZwRNUZyBuMnkDNBzA/crt+X+9PBA8/ICT080T0+X+3h5oXl5Oe97eKB5eFz+6el5+afZ7FwU3FizplNUNflHtOXP+ZKfry/cdJOdm24qfH9OjrPt5sqe49RUZ6Zxk4lLw7md21UVUlMVNA2ZWlFNVHrkOnnyZD744INij1m4cCG9e/fOe5yZmcnYsWOJjIzkjTfeuOp7xMQUbL0WojxIXRPFMV68SPsrHjuysq6pztSW+paSYgA65D3OzHTU6N89I0PP/v3e7NvnzcGDXhw65EVs7LWt4dWAk1zHTjqyI+9npP0Cir2MCl1OVJMJ7VIPp6bXo+l0zqHSer3Lttwh1JrB4PpYr3e5gtVyr0zzX6Feeqxduf0qx6JpoGnOuedX/My7n297gf2a5pynXszzlUsL5iqq6hxxcOnnldtxONDV8NEINYmSu/B2BTccqCYTDm9vHN7eqF5eeffztnl7o3p4oJpMzmN9fLAHBGAPCMDh64tqNjtvl46raa71O6V+XBxhVzyOS0sjvhy+p4xG52ni3LnC9ycmlvlbilKIjo4udn+lB+CPPvood9xxR7HH1KtXL+9+RkYGo0ePBmDWrFl4uHESuNofQYiyEBMTI3VNFEsJDHR5bLDbS11nalN9S093fWy3G2rM7+5wwKFDOrZt07N1q4Ft2/QcPlz6YeQKKs05zHXszAu0O7CLYJLKuOSgeXuj+fuj+figeXuDt7dzm6/v5fve3mjORaCd9728nD13ucNy8w/RvXKorslU5kN1r/ZqZfVuWhH3y9WlYDzvlpuYLt+23CDeZVtuMJ+78Lbd7pyDf+lxXm9zIftcHruzz2Zzvq/N5rIv77HDgS0ryznq4sp9+e+LEtFZreisVozJydf8WpqPD2poKFpIiPPz7OnpPA+Eh6NGRqJFRKD5+V0+B0REoIWFVdmJwGXxfeqZr8c7NCqKgBryPSXKXqUH4MHBwQQHB7t1bHp6OqNHj0bTNH799Vd8fNxbl1QIIaqC/HPAFZkD7paaNHJf05wZydeuNbBmjYH160u+/FUuAzZas5+O7Mi7tWMPPmSWvFxeXqjh4WhhYWhhYc77QUFogYFogYGcy8oisnVrtIAA57aAAMif00BULp3OebtiqHFRwX/lrs5+dVcNiDStYHBeRINBofuKaDAodN+lRoG8+7nHWq2uiQQtFuc5Pfen1Zr3GIvlcpLB3Kz81ZiSkYE+IwNOnHD7OZrZjFq3LlpICJqvr/MWHo7auLHzVreus0EvIMA5ZL66jaPO/31+lSHoonar9ADcXenp6YwcOZL09HR+/PFHsrKyyMrKAiAwMBCTXAgIIaq6/JGkBOBuMRhc10R1OBTsdqpNcpjYWIUlSwysXGlg3ToD8fElD7iNWGnLXjqxnU5spyM7aMtePLh6HVJDQlCjotCiolBzb5GRaJcCbjUsDK7SoJ0aE0OY9OaIqkJRLi/Y6+lZoEGhSjcw2O2XA/LcwD3fz7zgPTsbJTvb+TMry+U+2dnOVQZyh7NnZzt/FvY4K6vSA3/FYkF//DgcP37VYzVvbxzNmqG2aIEaHY0aEuJsEAwLw9GypXMCdRWTv0H9anPARe1WTS5fYNeuXWzduhWATp06uezLP0dcCCGqJKMRTVGccwC5IolQdYkkK4miONsuLrW5As5r1Kr6Z9M0OHBAx+LFRhYvNrB9e8kKqqDSmv30YCNd2EonttOGfZgoflkuNSoKR+vWOFq3Rm3VCkfLlqgNG4KsFCJE1ZGbjd3bO29TuTcYaJozYE9PR0lPdy4ZmJbmfJyRcXl7dvblwD8lBSUpCSUhwXlMTo5ze1pauS8RqGRmYti5E3buLPirKApqdDSODh2cDYuhoWjh4TjatkVt0qTyes7zN6jXwHnyouxU0cuXgnr37k1KSkplF0MIIUovN5LMzr68rSpHklWIyaSRlXX5wspiUfD2rjr9XBYLbNhg4K8FKn8tNnDqoqfbzw0gmV6spwcb6c4murAVP9KLPF7z98fRqpUz0G7d2nm/ZUvw8yuLX0UIUdMoyuWs6eHXuEicpjmD87g455KE2dnOHvaUFHSxsSgXLqCLjYXMTGcPfVoaurNnUdLSyuZX0TT0R46gP3KkwD41LAx7z56obdqg1q2LWq8easuWzrnq5aykWdBF7SZXfUIIUZFMJpcAXLFYXHpCROGqzDxwVUWJj0d3+jSxOy/y90pPFu+JYvmFNmSq7vU0+5LGDayhHyvpx0ras/vyGs5X0IxGZ09PmzY4WrVy9mq3bo1Wp071mx8phKgZFCUvN0SJpKaiO3cOJTXV2eOemoruzBl0x4+jO34cJTHRGdinpJQ6P4ouLg7T77/D77/nbdMUBUenTtiHDMHety+Opk0hIKBUr18s6QEXJSABuBBCVCDNwwMlNfXyBpkH7pb8nQkWi0K5DNy0WlHOn0d3+jS6s2edF4iXbtrps+w4G8Ei20D+YBg7uNHtl+3CFm5hIYNYSie2Y+DyslGaToejcVPU5s1xNG/uDLRbtUJt2lQSnQkhagZ/f1R//6sfp2kosbHoDh1Cf/Cgs/c8KQklKQndiRPoYmLypnG5Q9E0DNu2Ydi2DSZPBkANCkJt2RLbbbdhGzWqtL+R6/vknwMu525RDAnAhRCiIhWMJCunHNWMh4frBVep/mxZWeguXnQG2BcvOodKXrjg/Hn+PLozZ1AuXHC5uEvDl6UM4k/uZRFDicO94ZtmcriRZQxnAcP4gzpcQDMYUJs2RW0+jJzmzVFbtHAG3E2bSsZcIYQAZw97RASOiAgcffsW3J+ejn7PHvSHDzuHwcfFoTtxAsOWLSiZ7q0AoUtKQrd+PYb16/F45RWa9OqFqV8/Z+NnmzZokZElL7f0gIsSkABcCCEqkJbvS1nJyanaGXuriPydCS5D0K1W57DwwoLrixfR5d6/cuRBEezo2UoXlnEjy7iRDfTEjvGqzwOI5DxDdYsZGrGd/i3P4dmsLmrjZqiNPye9cWPUevVclogSQghRQr6+OHr1wtGrl+t2mw397t3ot21zNqaeO4f+6FH0+/YV+3KKzUbgqlWwalXeNnvPnlieegr7wIFur11eYA64BOCiGBKACyFERSo2khSAM2NvRga6hARnD0d8PJ5p/YHLvRLKE8/hY1mJLi7OrcC6yLcCDtEiL+BeRV/ScGOYJM5s5Z3DTzPkuvMMGmil7YAgiBoB+tsBkP+sEEJUEKMRR+fOODp3dtmsnD+PYelSjMuXoztyBN2JE87l3oph2LABw4YNOFq0wDZqFPauXXFcd13xiS5lHXBRAhKACyFEBSrQA36VC4Eaw2rNm8enJCSgi49HuXTTXQqylfj4y9uvzBQPeLGCKwNw+74Y9MSUqigXiMgLuJdxI+ep6/Zz/XxV+vV3MHiwjYED7YSGBgIlTEYkhBCiQmh16mC77z5s993n3OBwoDt5EuO8eRh//hn9sWNFPld/6BD6t95yvo6iYB8wgJxXX0Vt27bgwfkb0yUAF8WQAFwIISpS/i/l6tYDbrc7s9QmJ18OqHPv564bm5yM7sp9ycluz80rike+/mQL7l/cxBHKWnqzWunLCv0g9tubl+i9o6MdDBpkZ/BgGz16OGQUuRBCVFd6PWqTJlieew7Ls8+i37mTpEWLiIiPR7d7N4Zduwp9mqJpGJctw7B8ObZ77iHn5Zdd5ornb0yXZchEcSQAF0KICpT/S7m0y61cM1WFtDR0hQXS+QPqK4PqMlrLtaTMuP6dcrg8kkDT6dCCg9EiIlAjIznp05q1lm6sS2rFulMNiDl/adigBtiv/l4hISp9+tjzbg0ayCx9IYSocRQFR8eOxPn64h8dDYBu927Mn32Gcd48FLXg8pCKpmGaMQPjDz+gtmuHrV8/7LfcIj3gokQkABdCiIpU1j3gl+ZL5wXJuT3O+QPqwoLrQi4uqgrNbEYLDUUNDUULC8N0KAJOXd6f8uw/SR/1ArbAUA7Gh7Jth5ENGwxs2GDg7Fn3kubk8vTU6NXLGWz37WundWvV3bw7QgghahC1fXuyv/2WnNdew7ByJYatW9Fv3oz+yBGX4xRNcyZ9270bPvnEZZ9mMIBBQixRNKkdQghRgYqdA56dXWjgXKCXOjmZ1hcvYs7MdD622Sr4tyg5TadDCwxECwpy9laHhqKGhaGFhKCFhTkD7UvBthoS4kx2oyh5zzc86ukSgP9va3umbYRdu/RkZSmFvGPRdDqNTp0ceQF3ly4O6awQQgiRR4uKwjZ+PLbx40HTMCxZgse//oU+xo3cI5IBXVyFBOBCCFGR8kV6Hv/6Fx7/+pczkM6XeKw4lXny1vz9UYOCnMF0blAdEOD6+NJP9dI+/PzcXs6lMPnXAV+zxv2/gF6v0a6dg549HfTsaadXLzsBAaUuihBCiNpEUbAPGULGgAGY/vc/TDNmoN+7t8jDtfyrnQiRjwTgQghRkfIF4Lrz5yupIKD5+FwOlK8MnHNv+YPswEBnMK3XV3hZS9JDbTY7e7h79rTTs6eDLl3s+PqWX9mEEELUAkYj1ocewvrQQyjx8RhWrcL80UfoDx50Pc7Ts3LKJ6oNCcCFEKICqSEhZf6amqdnwcA5MPByL3VhvdOBgQXXJK/CWrd2FLkvNFSlY0cHXbo46NXLznXXOWQEoBBCiHKjhYZiGz0a2/DhmKdMwfzJJ3l5Vew9e1Zy6URVJwG4EEJUINvo0ZinTUNJTS2wTzMYXHud8w/nviLIPpWRQVT79mhBQbWitX30aBvbt1tYvdpAZKSzh7tTJzsdOzqIitKunC4uhBBCVAyzGcu//4192DBM332HFhBAzgsvVHapRBUnAbgQQlQgtUUL0rdsQb9zJ5jNLkO/8fHB3UgyOyYGrW7dci5t1eHhAZ98Us3WTBdCCFErODp2JLtjx8ouhqgmJAAXQogKpoWHYx8ypLKLIYQQQgghKpisdCqEEEIIIYQQQlQAJSUlRbv6YUIIIYQQQgghhLgW0gMuhBBCCCGEEEJUAAnAhRBCCCGEEEKICiABuBBCCCGEEEIIUQEkABdCCCGEEEIIISqABOBCCCGEEEIIIUQFkABcCCGEEEIIIYSoABKACyGEEEIIIYQQFUACcCGEEEIIIYQQogJIAC6EEEIIIYQQQlQACcCFEEIIIYQQQogKIAG4EEIIIYQQQghRASQAF0IIIYQQQgghKoAE4EIIIYQQQgghRAWQAFwIIYQQQgghhKgAEoALIYQQQgghhBAVQAJwIYQQQhTp0UcfJSAggLVr11Z2UUQ+a9euJSAggEcffbSyiyKEEMJNEoALIUQVFRAQQEBAQIW+Z9u2bSv8PfO7+eabCQgI4NSpU5Vajpoq9+975a1u3br07NmTN998k5SUlMouYoWaP38+t99+O9HR0YSEhNCwYUO6dOnCAw88wLffflvZxRNCCFHDGCq7AEIIIYSoeGPHjqV+/fpomkZsbCyLFy/mww8/5Pfff2f58uWV3hBTEZ555hm+++47PD09GTRoEA0aNCA7O5tTp06xfPly/vjjDx544IHKLqYQQogaRAJwIYQQohYaN24cvXv3zns8efJkBgwYwJEjR/jPf/7DCy+8UImlK3+bNm3iu+++o27duixdupS6deu67Hc4HKxYsaKSSieEEKKmkiHoQghRjZw6dYqAgABuvvlmEhMTeeqpp2jevDlhYWF0796dGTNmFHiOpmnMnDmTQYMG0aRJE8LDw2nVqhW33HIL33//vcvrnjlzBsBlePLNN9+c91pr1qzhySefpGvXrkRFRREREUH37t15++23yc7OLvDe77zzDgEBAfz444+sWbOGm2++mXr16hEVFcXo0aM5ePCgy/EBAQGsX78egPbt2+eVoW3btnnH7Nq1ixdeeIGePXvSoEEDwsPD6dixI6+88grJyckFyvDjjz8SEBDAO++8w549e7jjjjuoX78+kZGR3HTTTWzatKnQv7WqqsyYMYPBgwdTv359wsPD6dGjBx999BFWq7XQ56xZs4bRo0fTqFEjwsLCaN++PS+++CLx8fEFjs0dCl6Y3Lm977zzjsv248eP8+STT3LdddcRERFBgwYN6Nq1K48//nje/660fH19GTduHADbt28v9Jj58+fTv39/IiMjadiwIRMmTODcuXMFjivp/8hisfDll19yww030LBhQyIiImjTpg233347CxYsKHB8bGwsL730Eh07diQ8PJwGDRowYsQIVq9e7fbvu3nzZgBuueWWAsE3gF6vZ+DAgXmPDx48SEBAAMOGDSvyNYcMGUJAQABHjhwBXOdonzp1ivvvv5/GjRsTHh5Onz59WLRoUZGvNX/+fEaOHEnjxo0JCwujdevWjBs3jlWrVhV6vLuvf+XnYfPmzYwcOZIGDRoQEBCQN/0gLS2NN998ky5duhAeHk79+vUZNmwYCxcuLPR9S3JOWrJkCQEBATz22GOF/h6qqtKmTRsiIyNr3XQIIUTtID3gQghRDaWmpjJ48GBMJhPDhw/HYrEwf/58nnzySXQ6HXfffXfesa+99hqffvop9evX57bbbsPf35/Y2Fj27dvHL7/8wr333ou/vz8vvvgiX331FWlpabz44ot5z69fv37e/U8//ZQjR47QrVs3Bg8eTE5ODps2beK9995j7dq1LFy4EIOh4FfLkiVLWLx4MTfeeCMTJkzg8OHDLF26lB07drB582ZCQkIAePHFF/npp584c+YMjzzyCP7+/gB5PwG+//57/vjjD3r16kW/fv1wOBzs2rWLL7/8kr///psVK1bg6+tboAy7du3is88+o1u3bowfP56zZ8+yYMECbr31VtasWUPz5s3zjrXb7dx999389ddfNG3alFGjRmE2m1m/fj1vvPEGq1evZu7cuS6/6/Tp03nmmWfw9PTk1ltvJSIigs2bN/PNN9/w559/snjxYqKiokrz7wbgwoUL9O/fn4yMDAYMGMAtt9yC1Wrl7NmzLFy4kNGjR1/T61/Nt99+y+LFixk6dCi9evVi27ZtzJs3j71797J+/XrMZnPesSX9Hz3yyCPMmzePFi1acMcdd+Dt7c2FCxfYsWMHf/zxB8OHD887dv/+/YwYMYL4+Hj69+/P0KFDSUpK4s8//+S2227js88+45577rnq7xMUFATAsWPH3Pr9W7ZsSa9evVi3bh1HjhyhWbNmLvsPHDjApk2buP766wvsO3PmDAMGDKBRo0aMGTOG5ORk5s2bx1133cXvv/9Onz59XI5/4oknmDlzJv7+/gwdOpTIyEjOnz/P5s2bmTVrFn379r2m1wfYsmULH330ET179mT8+PFcuHABvV5PSkoKQ4YM4dChQ7Rr145HHnmE1NRUfv/9d+655x5eeOEFXnnllQKv5+45aeDAgTRs2JB58+bx9ttvF2iEWrp0KWfPnmXcuHG1YhqEEKL2kQBcCCGqoX379nHffffx4YcfotfrAXjsscfo1asXn332mUsA/v333xMZGcnGjRvx9vZ2eZ3ExETA2fP88ssv89NPP5GWlsbLL79c6Pt++OGHNGjQAEVRXLa/8cYbfPTRR8yfP59Ro0YVeN6ff/7J77//7jLk+fXXX+fjjz9m5syZ/OMf/wDg5ZdfZt26dZw5c4ZHH32UBg0aFHitp59+mg8++CDv9841ffp0nn76aaZNm8bTTz9d4HlLlizhm2++YcyYMQWe88033/DRRx/lbf/444/566+/eOihh3j33Xfz3ktVVZ5++mm+//57pk2bxiOPPALA6dOnefHFF/Hy8mLZsmW0bNky77UmT57MBx98wLPPPsvs2bML/bu6Y/78+aSkpPDWW2/x+OOPu+yzWCzYbLZSvzZARkYGv/zyCwAdO3YssH/FihWsXr2aFi1a5G178MEH+fXXX/nzzz8ZOXJk3vaS/I9yg7v27duzfPnyAg04uXUUnMPC7733XlJTU1m4cCHXX3993r6LFy8yYMAAnn/+eQYPHkxYWFixv++AAQPw8/Pj77//ZsyYMdx2221cd911NGvWDJ2u8AGCDz30EOvXr2f69OkFRidMnz4doNA54+vWreP//u//eP755/O2jR49mlGjRjF16lSXAPn7779n5syZtG7dmgULFhAcHJy3T9M0zp8/f02vn2vlypV88skn3HfffS7b//GPf3Do0CHuuusuPv/887zP+vPPP0///v15//33GTx4MJ06dXJ5nrvnJJ1Ox/3338+///1vfv755wIZ3Iv7OwohRE3g9hD0pUuXoqpqeZZFCCGEm7y8vJg8ebJLgNOiRQu6d+/OkSNHSE9Pz9uu0+kwGo2F9kxfeXHvjoYNGxYIvsHZYwcUOWf29ttvdwm+gbwL/x07dpSoDPXr1y8Q2OW+np+fX5Fl6NGjh0vwDXD33XdjMBhcyqCqKl9//TWhoaG88847Lu+l0+l44403UBSFWbNm5W2fPXs2VquVBx54wCX4BmfgEhkZydKlSwsNntyVGxR6eXkV2Gc2m/Hx8SnR6/3000+88847vP322/zjH/+gc+fOHDp0iIYNG/Lwww8XOP7hhx92Cb4B7r33XqDg/7Ak/yOdToemaZjN5kKfc2UdXbp0KUePHuWBBx5wCb4BIiIimDRpEjk5OcyfP/+qv3+dOnWYOXMmjRo1YsmSJTz66KN0796dqKgobr31VmbMmFGgUWPYsGFERkby888/u0y5yMrKYtasWYSFhRU6RL1+/fo888wzLtsGDBhAVFRUgb/dN998A8Ann3xS4POpKEqhw+VL8vq52rRpUyD4ttlszJ49Gy8vL15//XWXz3rdunV55pln0DSt0KkuJTkn3X333Xh4ePC///3P5TXOnj3LsmXLaNeuXYEAXwghagq3e8DHjBlDaGgoo0aNYsyYMXTo0KEciyWEEKI4TZo0KTTgyr04T01NzRvie8cdd/D111/TtWtXbrvtNnr06EG3bt0IDAws8ftmZmby9ddfs3DhQo4dO0ZGRgaapuXtv3DhQqHPK+w7I7esJZ3nabPZmD59Or/99hsHDx4kPT3dpYG4JGUwGo2EhYW5lOHo0aMkJibSqFEj3n///UJfy9PTk5iYmLzHu3fvBuCGG24ocKzZbKZ79+7MmzePPXv2UKdOHXd+zQJuuukm3nzzTZ5//nmWLVvGgAED6NKlC61bty6yx7Y4P//8c959Ly8vGjZsyJ133slTTz1V6NDfkvwPS/I/8vX1ZejQoSxatIhevXoxbNgwevToQZcuXQrU8dx522fPni3QAw3OOfJA3hzsq7nhhhvYvn07mzZtYsOGDezbt4/NmzezevVqVq9ezfTp05k3b17e38NgMHDvvffy7rvvMm/evLw583PnziUtLY2HHnoIo9FY4H3atm1baONC3bp12bJlS97jjIwMDhw4QGBgIF26dHHrdyjJ61+pc+fOBbYdOXKErKwsOnfunDct5Eq5Q99z6/uVSnJOCgoKYuTIkfz000+sW7curzHl+++/x+FwSO+3EKJGczsA/+WXX5g9ezYzZszgm2++ITo6mjvvvJPRo0dTr1698iyjEEKIfPz8/ArdnnsR7nA48ra99dZbNG7cmJkzZ/LZZ5/x6aefotPp6NOnD2+88YZLgrPi2Gw2hg8fzvbt22nVqhUjR44kJCQkr2d9ypQpWCwWt8ub+7wry+qOCRMm8Mcff9CwYUNuvvlmwsPDMZlMAHz11VclKgM4/2ZXliEpKQmAEydOMGXKFLfKlJaWBlDksOfw8HCX40ojKiqKFStWMGXKFP7++2/+/PPPvPecOHEiTz/9dKFBWFEWLlxYYFRCcQr7+xVW36Dk/6PvvvuOqVOnMmfOHN577z3A2TgyZMgQJk+enDcVIfd/s2DBgkKTs+XKzMx0+/fS6XT07NmTnj175m1btWoVDz/8MDt37uS9997j7bffztuXO8x6+vTpeQH49OnT0el0eSMC8iuu7l3ZMJFbP0raSOPu61+psLp6LfW4JOckcA7n/+mnn5g+fTrXX389drudmTNn4ufnx+23317oawkhRE3gdgA+ePBgBg8eTEZGBvPnz2fOnDlMnjyZyZMn07NnT+68806GDx9eaOIbIYQQlUev1zNx4kQmTpxIUlISGzduZOHChcyaNYsRI0awZcuWvIRUxVm0aBHbt29n7NixfPXVVy77Ll686Hawei127tzJH3/8QZ8+ffj1119dehtVVeWzzz675vfIDSSGDBmSNyfa3efExcUVuj82NtblOLg8pNxutxeYHpCamlro60RHRzNt2jQcDgf79+9nzZo1TJs2jcmTJ6OqapVYOqw0/yMPDw+ef/55nn/+eS5cuMDGjRuZPXs2Cxcu5NChQ2zYsAGj0Zj395sxY4ZLYray1rdvX/7v//6PJ598skDW8YiICIYNG5aXgE5VVXbs2MGgQYNcEhaWRm6ywaJGcZSlwqaSlKYel9Z1111Hp06dWLhwIQkJCWzcuJELFy7w4IMPFshVIYQQNUmJx6z5+PjkZdXcv38/r732GsnJyUyaNInmzZvz4IMPsnz58vIoqxBCiGsUFBTEzTffzNdff82oUaNISEhwWYarqN4quDy8t7DAJ3fpsLJwZcKzosowdOjQAkN9t2/fXuhSaCXVrFkz/P392b59e5HLjeXXvn17wLnsVH4WiyVv6HTucUDesOazZ88WeM7OnTuLfT+9Xk+7du144okn+PXXXwH4448/3CprebvW/1FkZCQjR47kl19+oWvXrsTExHD48GGAvGHZGzduLIeSuyquQ+HBBx8EnD3fuUnD7r///mt+T29vb1q1akVSUhLbtm275tcrqWbNmuHl5cWBAwdckt/lyl3mraymIT744INYrVZmzpyZ93ecMGFCmby2EEJUVde0DrjNZsNqtWK1WtE0DV9fXzZu3Mjtt99Oz5492bdvX1mVUwghRClYLBZWrVpVIJjVNC1vbWoPD4+87blJnwpbUzq3dy9/kHny5EleffXVMiuzO2VYt26dy/b4+Hiee+65Mnl/g8HAI488kveaWVlZBY5JTExkz549eY/vuOMOTCYT3377bYH5xx999BHnz59n0KBBREZG5m3PDSa/++47l+P37NnD119/XeA9t2/fntcDeaXcbVf+HytTSf9HCQkJbN26tcB2i8WSNxIg93cbOnQojRs3Zvr06UWuob179+68oerFWbZsGQsWLCg0e3xGRkbeKI8rh6bn6tWrF61atWLOnDn8+uuv1KtXj0GDBl31Pd2Rm1n/6aefLnTN9GtJ5Hc1RqORMWPGkJWVxeuvv14gv8PHH3+Moiguqyxci5EjRxIUFMRXX33FypUr6d69O61bty6T1xZCiKqqxMuQ5S4XMmvWLDZv3pw3R+vNN9/kxhtvRKfTsWTJEl588UUmTZrEypUry6PcQggh3JCdnc1tt91GvXr16NKlC1FRUdhsNtatW8fevXvp3LmzS+Kwfv36sX37du655x4GDRqEh4cHUVFR3HnnnQwZMoTGjRvz5ZdfcvDgQdq1a8fZs2dZsmQJgwYNKrQntzT69evHvHnzeOqpp7j11lvx9vbG39+fiRMn0rFjR7p3787ChQsZNGgQ3bt3Jy4ujmXLlhEdHe0S4F6L559/ngMHDjBjxgyWLl3KDTfcQN26dUlISODEiRNs2rSJBx98kHbt2gHOoHPKlCk888wz9OvXj9tuu43w8HA2b97M+vXrqVu3Lh9++KHLe+Qu8/TZZ5+xf/9+WrduzcmTJ1m8eDHDhw9n7ty5LsfPmTOHadOm0aNHD5o0aUJQUBBnzpxh0aJF6HQ6nnzyyTL53a9VSf9H58+fZ+DAgURHR9OhQwfq1q1LZmYmK1as4NixY9xyyy00bdoUcAaIM2fOZOTIkYwbN47OnTvTvn17vL29OXfuHHv27CEmJoY1a9ZcdVrFkSNHeOWVVwgICMj7mxoMBs6fP8+SJUtITU2ladOmvPjii4U+/4EHHuDZZ58FnEt3lSYRXmHGjx/P5s2b+fHHH7nuuuu4+eabiYiIIDY2lk2bNtGlS5cCU0DK0quvvsrGjRuZMWMGe/bsoW/fvnnXfsnJybzwwguFJnArDbPZzD333MOnn34KlM0oAiGEqOrcDsD//PNPZs2axdKlS7FYLHTu3Jn333+fkSNHFsiWOmTIEOLi4vK+mIQQQlQOb29v3njjDdauXcvWrVtZvHgxnp6eNGjQgMmTJzNhwgSX+cfPPvssaWlpLFq0iE8//RS73U6vXr2488478fb2ZsGCBbz++uusW7eOjRs30rBhQ55//nkef/xxfvvttzIp89133825c+eYPXs2X3zxBTabjaioKCZOnIher+fnn39m8uTJLF26lG+++YbIyEjGjx/Pc889R7du3cqkDAaDgRkzZjB37lx+/PFH/v77bzIyMggKCiIqKoqnn36aO++80+U5EyZMoHHjxkydOpU///yTzMxMIiMjmThxIs8991yBxFbBwcH8+eef/Pvf/2b9+vVs2LCB1q1bM336dPz9/QsE4Lfffjs2m43Nmzczf/58srKyCA8PZ/DgwTz++ONVZtmmkv6P6tevzyuvvMLatWtZv349CQkJ+Pv707hxY5566qm8RGe5WrVqxfr16/nqq69YtGgRP//8M5qmER4eTosWLZg0aRLR0dFXLeeYMWPw8/Nj1apV7Nu3j40bN5KRkYGvry8tW7Zk6NChPPDAA0XORx4zZgwvvfQSAPfcc08p/1qF++KLL+jfvz//+9//+OOPP8jOziYsLIwOHToUqHdlLSAggCVLlvDpp5+yYMECvvzyS8xmM+3atePhhx8u87n3d999N59++inBwcHceuutZfraQghRFSkpKSna1Q+DwMBA6taty5gxYxg7dmxea3RRtm/fzrfffsuXX35ZJgUVQgghhKgqNm/ezODBg7ntttsKrGct3DdnzhweeughnnzySd54443KLo4QQpQ7twPwVatW0adPn0KzZgohhBBC1CZjxoxhyZIl/Pnnn/Tq1auyi1MtORwO+vbty4EDB9i+fTsNGzas7CIJIUS5c3sIet++fcuxGEIIIYQQVdu+fftYtGgRe/bsYcmSJfTv31+C71JYv349a9euZcOGDezdu5cJEyZI8C2EqDVKlIQtJSWFuXPncvLkSZKTk12yY4JzTcnPP/+8TAsohBBCCFEV7N69m7fffhs/Pz+GDx9eILGecM+aNWuYMmUKgYGBjB8/nrfeequyiySEEBXG7SHoq1ev5p577iE9PR1fX98CidfAGYDv3r27rMsohBBCCCGEEEJUe24H4L169SIjI4OZM2fStm3b8i6XEEIIIYQQQghRo7i9aOXRo0d59NFHJfgWQgghhBBCCCFKwe0AvEGDBuTk5JRnWYQQQgghhBBCiBrL7QD8mWeeYfr06SQnJ5dneYSotmJiYiq7CKIWkfomKpLUN1GRpL6JiiT1TVQ0t7Ogx8bGEhQURMeOHRkxYgT16tVDr9e7HKMoCk8++WSZF1IIIYQQQgghhKju3A7AX3vttbz706dPL/QYCcCFEEIIIYQQQojCuR2Ay/JiQgghhBBCCCFE6bk9B7x+/fpu3Upi/fr13HnnnbRs2ZKAgAB+/PHHqz5n//79DB06lIiICFq2bMmUKVPQNLdWUhNCCCGEEEIIISqN2z3gudLT01m3bh2nT58GnIH59ddfj6+vb4nfPDMzk1atWjF27FgeeeSRqx6flpbGiBEj6NmzJytWrCAmJobHH38cLy8vJk2aVOL3F0IIIYQQQgghKkqJAvBvvvmGyZMnk5mZ6dLr7O3tzb/+9S8efvjhEr35oEGDGDRoEACPPfbYVY+fM2cO2dnZfPXVV3h6etKqVSuOHDnCl19+yRNPPIGiKCV6fyGEEKK00qwq0w5lMudYFj5GhUda+TCikSc6+S4SQgghRBHcHoL+yy+/8NJLL9G8eXP++9//snbtWtasWcO0adNo2bIlL7/8MrNnzy7PsrJlyxZ69OiBp6dn3rYBAwZw4cIFTp06Va7vLYQQQgCkWFTe3ZlGuzkXeWN7GgdT7GyNt/HA6mT6LIhn6ZkcmRolhBBCiEIpKSkpbl0l9O7dG29vb/744w8MBteOc7vdzrBhw8jMzGTt2rWlKkjdunV57733uOuuu4o8ZsSIEdSpU4cvvvgib9uZM2do27YtS5cupWvXroU+T9b3E0IIca1SbPDTOSOzLxjIdBTfy93Bz8FjDWxc569WUOmEEEIIURVER0cXu9/tIegxMTG88cYbBYJvAIPBwMiRI3n11VdLXsISyj/MPLeXobjh51f7IwhRFmJiYqSuiQoj9a3ixGU7mLovg+8OZZJpd69ne1eanol79dxY18yLHfzoEmYq51KWL6lvoiJJfRMVSeqbqGhuB+De3t7ExsYWuT82NhYvL68yKVRRwsLCiIuLc9mWkJAAQGhoaLm+txBCiNrlfKaDT/em8/2RTHIchR/jb1KY2NKH42l25p7ILrB/2TkLy87F0yPcxFNtfRhUz0PmiAshhBC1mNsBeP/+/fnmm2/o27cvvXv3dtm3bt06/vOf/3DTTTeVeQGv1LVrV1577TVycnLw8PAAYOXKlURGRtKgQYNyfW8hhBC1w+kMO5/syWBmTCbWIkaQB5t1PN7GhwdbeONncqZTeaqtlck70lh61lLg+I2xVjbGJlHPW8+oRp7c3sSLNoEGSR5aS1gdGhk2FZ2ioFNAr4BOUdBfuq/XST0QQojawu0A/NVXX2XDhg3ceuuttGvXjmbNmgFw5MgR9uzZQ2RkZImHoGdkZHD8+HEAVFXl7Nmz7Nmzh8DAQKKionj99dfZvn07CxYsAOD2229nypQpPPbYYzz33HMcPXqUTz75hBdeeEEuYoQQQlyT42l2PtqTzi9HsyhqpHmYp45JbXy4v7k33kbXPKbtgk3MHhjCxlgLb2xPY2OstcDzz2Y6+HRfBp/uy6Cul56eESZ6hpvpEGKkmb+hwGuK6iMhx8GWOCsxqXZOpts5me7gfKaDuBwHyZbipy6Eeuio663Pu9W79DPa30DLQCNGCdCFEKLGcDsJG0BSUhIfffQRS5cudVkHfPDgwTz99NMEBQWV6M3Xrl3LLbfcUmD72LFj+eqrr3j00UdZt24de/fuzdu3f/9+nnvuOXbs2EFAQAATJkzgxRdflABcVDqZQyQqktS3snMkxcYHe9L59Xg2ahHfiHW8dDzV1pfxzbzxNFz9+0bTNFZfsPDp3gxWni/YI14YBWjgq6eBj4EILx0RnnoCzTp8jAo+Rh1mvbPXVAGXXlQPPQSYdQSadQSbdeUSxEt9KyjForLyfA7Lz1nYFGvlaJq9XN7HQw9tg4xcF2LiuhATHUOMNPUz1Ohec6lvoiJJfRMVza0A3GKx8Ntvv9GsWTM6depUEeUSotqRE7ioSFLfrt2WOGeAvOh0DkV9EUb56HmmrS/jor0w60sX8OxOtPLF/gwWnswh21H+y5OFeepo7GugkZ+BVoEG2gWZaBdsJNBc+sBc6ptTuk1l7vFs5hzPYlOslQr4dxbK36TQv44Hg6I8uLGumVBPfeUUpJxIfRMVSeqbqGhuDUE3m8089dRTvPfeexKACyGEqLZUTWPp2Rw+3ZtR6BDxXI199TzT3pcxTbyuefhv+2AT/7khiIweKotO5zDnWBZrL1qKTOx2reKyVeKyrWyKc/39ov0N9Aw30TPCzA2RZiK9albQVp4OJNv478EM5hzLJsPNTPhX0inga1TQAE0Dh+asiw4NbKVYqS7VqjHvZDbzTjoT/3UMMTKwngeD6nnQMcQoowKFEKIKc3sOeHR0dLFZ0IUQQoiqyurQmHM8i6n7MjiUUvRQ4eb+Bp5t78vIRp4YyniIr49Rxx1NvLijiRcWh8bOBCsbY61sjbdyKNnGiXRHkT3xZSEm1U5Mqp3vj2QBzmHNg+t5cFN9CdqKsiPeygd70ll0Oueqx+oVaBdspGOIiUa+ehr6GqjvoyfCS0+wWVfkkHG7qnEhy8G5zMu3s5kOTqXb2ZVoIzb76hH6jgQbOxJsTNmVTiNfPeOaenFnUy+ifNy+zBNCCFFB3D4zv/DCCzz77LMMGzaM1q1bl2eZhBBCiDKRZlX5/kgmX+3P4HxW0YFM+2AjT7f1ZXjDilkmzKxX6B5upnu4OW9bll3laKqdi1kqF7MdXMxykG5zZs/OsGnY1Mu9pqoGKs655pl2jWSLSopFJTZbdXtY9N4kG3uTnPPfG/joGdXYk1GNvGgdZCyfX7oaOZpq4/+2pLKkkIz2V2rub2BQlAcD6prpHGrCpxTz7w06hSgfQ5HB8vlMBzsTrOxMsLEz0cr2eCsp1qL/ySfSHby1M523d6ZzQ6SZu6K9GNbAAy+DJPgTQoiqwO0AfM2aNYSGhnLDDTfQtWtXGjVqhKenp8sxiqLwwQcflHkhhRBCiJK4mOXgmwMZfHs4k7RigpX+dcw81daHGyLNld4D7GXQ0S7YRLvg0r+GXdU4m+ngeJqdQyl29iRa2Ztk41CKvdjA/FSGg4/2ZPDRngw6hxq5t5k3Ixt51rqs7Jk2lQ/3pDN1X0aRQ8PDPXXcE+3NuGgvGvuVfw9zHW89dbw9ubmB85rLoWrsSLCx9GwOf5/NYVeirdDnacDqCxZWX7Dga1QY08SLx1r7VEiZi+NQNbIcGtl2DaNOwdeolPloEyGEqMrczoIeGBh49RdTFJKSkq65UEJUR5LEQ1QkqW+FO5Bs4+sDGfxyNKvINbz1Coxo5MmkNj60DzZVbAErSbpNZWuclQ0Xray6kMP2eNtVh7v7GRXua+7No619yDh3vMbXt9Xnc3h8XQpnMwufnH9diJF/tPVlaH2PKrUsWGyWg2XncvjrTA5LzuQUWe/BmWl/WAMPnmzjS5ewsq/7KRb1UoOPjeNpdo6nOziTbifNppFl18iyq4XmPvAyKPgZFXxNOvyMCh6OHFpH+NHEz0BjPwONfQ3U99VXqb+7qDnk+1RUtBItQyaEKJqcwEVFkvp2WbZd4/eT2fzvcCab44pOrOapV7inmbMXsKFv7Z4bm5DjYNlZC3+ezmbp2RwsxSSEM+pgSIid13vXrfTe0/KQbdd4fXsqXx/ILHR/tzATL3TwpX+dyh8lcTXJFpW5x7P48WgWOxMK7xnP1a+OmRc7+LpMgyipsxl2Vp63sPK8hS1x1iIbL8qCXoH6PnraB5voFGqkc6iJ9sFGGVovrpl8n4qKJgG4EGVETuCiIkl9c67fPf1wJj8fzSp2TmywWcfEVt482MKbYA/J/J1fmtWZnf2XY1msKmbNcoMC9zTz4oUOfjUmg/qBZBsTViZxOLVgYr5ILx1vdvFnVCPPKh94F+ZAso2fj2Yx61gWccUkcusTaeb1zn50CHGvR/xQio3fT2Sz4GQ2B4pJaFgR9Aq0DjTSKdRIz3Az/eua5TMuSky+T0VFK1UAnpmZSXJyMppW8KlRUVFlUjAhqhs5gYuKVFvr27FUO3+cdl78b79KD18DHz1PtPHhrmgv6SVz04k0OzOOZDLjSBaJlsKDNg89PNHGl2fa+VTrv+v8k9k8tjaZzHzLiinA4619ePE6X3xrwBx4q8O5ZNnUfRnsSyr8M6MAdzb14p8d/ajrXTCATbWqzDqaxf8OZ5ZJ0O2pV/A0KNg1jXSrVmbZ/xWcUwUG1HWuj94p1CTzy8VV1dbvU1F53A7ArVYr7733Ht9//z2JiYlFHidzwEVtJSdwUZFqS33TNI39yXYWnspm4alsDiRf/eL/hkgz9zf3ZlgDD7n4LqVsu8bPR7OYui+dE+mFDyuu76NnSjd/bqrvWej+qsqhakzekcbHezMK7Kvvo+fr3oH0jCj9sOyqStM0Vp238P7udDbEFj5Vw6iD/nU9GNXIkygfPQeSbWyPtzH/ZHaBhorCGBRo5m+gTZCRaH8DTfwMNPIzEGjW4W1Q8DI4A+8rVxpQNY0Mm0a6TSPNqpJmVdlx/BzZ3qEcT7NzLM3OiTQ7F91Yji0/f5NC/zoejGjkycB6Hnga5HwgCqot36ei6nA7AP/HP/7BjBkzuOmmm+jVqxcBAQGFHjdu3LiyLJ8Q1YacwEVFqsn1TdU0tsfb8oLuogLAKwWZddwV7cW9zbxo6i/LaJUVh6rx24lsXt+SyNmcwnuDb67vwSc9Awj1rPpDf7PsKg+sSmbxmYLreo9t6sWUbv74map/r/fVrLtoYcrONNZeLDpngjv0CnQNM9G3jpl+dcy0DzZh1l97kFvY+S3DpnIw2c62eCvbE5zLsblzbsjlY1AY2sCDUY286FfHjKkMyilqhpr8fSqqJrcD8IYNGzJs2DA+//zz8i6TEGXC6tBIs6mkWjSsqoZOAZ3iXOon0ktX5mv9yglcVKSaVt/sqsb6i1b+OJXNH6ezuVDMmt1X6hluYkJzb25p4ImH9G6Vm4OHY9io1eHdXWmFzicO8dDxWa8Ahlbh3vDEHAd3Lktka7zrMGyjDt7rFsB9zb2q5Vzv0tI0jWXnLPxrayqHSjCsXK9A3zpmbm3oybD6HgSVw5xrd89viTkOtsfb2BBrYfk5C3uLGGKfX4BJ4ZYGnoyL9qJ7mKlW/d9FQTXt+1RUfW6nM1VVlc6dO5dnWYQotUybyqY4K1virGyLt7IjwUqypei2JS+DQmM/A839DXQMNdEtzES7IKO0iAtRQVIsKodSbGyJs7I+1sqmWAupxSRSy6VX4PoIM7c08ODmBp41JhlYVWfQwf3R3oxq7Mm7O9P4z8FMl3XFE3JUxi1P4t5mXkzpFlDlGkNOptsZtTSBY2muPaYRnjpm9A+ia1jNG3J+NYqiMLCeB/3qmJkZk8Xn+zI4mlZ0IF7HS8d9zb0Z38ybiCryuQv20DMoSs+gKA9e6+xckm3FeQvLz+Ww4pyFpCLyGKRYNX6IyeKHmCya+Om5O9qbu6K9CKsGoziEENWf2z3gEyZMwGw28/XXX5d3mYRwy+kMO78dz2bFeQubYi3Frn3qDg89dAtzZlHtV8dMmyBjiXrJpQVVVKTqUt8ybSobY60cSrFxNNXOkVQ7Mal24nPc/8Ca9dCvjge3NPDgpqjy6XETxctf3/Yl2fjHhmS2xRfscewYYuSH/sGFJvOqDEdSbNy6JKHAqIrWgQbmDAyhThUpZ2XTNI29STZ+O5HNinMW7JpGywAjrQKNdAgx0ifSXGE5Fcri/OZQNbbFW5l3MpvfT2RfdQ65SQe3N/bikVbetAsu+zXSRdVVXb5PRc3hdgAeHx/PiBEjGDp0KA888ADh4eHlXTYhCtA0jfWxVr7en8GiMzmo5biIXoiHjn6X5rX1q+tx1Z42OYGLilSV61uyReWPU9n8eTqHVedzyCnF0sDeBoVB9ZxB98AojxqRjbo6K6y+2VWNj/ekM2VXOvnzc4V56pjRL+ia1pguCweSbdy2JKHAsPk+kWZm9A/CvxbM966Oyvr85lA1NsRa+e1EFvNP5hTZM57r+ggTj7Ty4aYoD/SSyLHGq8rfp6JmKjIAj4iIKDAnxuFwYLc7hycZjUZ0OtcvLkVROH/+fDkVVdRmOXaNX09k8fWBzCKXUclPpzgzoPoZdXjoFTTAoWkk5KhuDXXNr2WAgX51zfSJ9KBrmIlAs2v9lxO4qEhVrb7ZVY0V5yz8eDSTxadzSjUiJcisY0iUM+juV8ejyg1jrs2Kq287E6w8uDqpwPBuow6m9Qni1oaVMy98b5KN2/5KKLCc2ujGnnxxfaBMOarCyvP8ZlM1Vp6z8NPRLP48nY2tmHNVAx89j7f24d7m3mWSXE5UTVXt+1TUfEXOAR8xYoQkpRCVLs2q8sX+DKYdzCxyTdpcDX319Ik00yXMRNdQE039DYUOIdcuBeFHUu3sTrSxNc7K5jgL56+S9Olgip2DKXa+3J8JQIsAA93CnPPHu4eb0cqxN16IqirNqjLjSCZfH8jkbKb7Xd0mHTTxM9Ay0EjPcBM9I8y0CCj8MyuqtutCTKy4JYyJq5NYctaSt92mwoRVSXzeK4Bx0d4VWqadCVZGLEkgJV9j6/hmXnzSM0DqWS1m1CkMivJgUJQHiTkOfjmWzX8PZnCykIzqpzIcvLA5lU/3ZvBce1/uivaShhshxDVzewi6EBXJ6tD43+FM3tudTkIxc0VbBxq4t5k3A+t50MjP7ZyCBWiaxol0ByvO5bDivIW1Fyyk20r20QgyanSP9KRLqInOoSbaBhkJMMvwRlE+KrvF/lymg68PZPD94UzSrvJZqe/jbBxrFmCgmb+RZv4G6vvoZWhnNeJOfVM1jbd3pvPB7vQC+z7o7s+DLX3Kq3gutsZZGbU0oUC9fLCFN+9195fguxqo6PObQ9X460wOXx3IYF0xS7PV99HzfHtf7mzqhVHOXzVGZX+fitpHAnBRpVgcGr8czeKTvelFru+pU+CmKA8eaeXD9RHls3yITdXYHm9lxXkLq85Z2JZgLdV883reeloHGmgTZKR1oJHWQUaa+BkqLJGNqLkq64JhX5KNqfvSmXs8u8C83ys19tUzuokXwxp40ibQICOqqrmS1Ldfjmbx2LrkAufMKd38ebhV+QbhGy5auOPvRDLyVc7HWnvzVhd/qYfVRGUGRHuTbHx9IIM5x7KKnErTyFfPS9f5MbqxpzTo1AASgIuK5nYA/vHHH/PXX3+xZMmSQvcPGTKEm2++mUmTJpVpAUXtYHFo/PdgBl/szyhy/V8/k8L4aG8ebOlNQ9/S93aXRopFZc0FC2suWNgUZ2V/ko3Stlx56KFFgDMYbxOY+9MgmZ1FiVTkBYOmaay+YOGzvRmsOG8p8jgPvTOL8F2ytm6NU9L6tuBkNg+sTiowv3ZqrwDuaVY+w9FXn89h7PIksvIF30+39eHfnfykPlYjVSEgis1y8Om+dL49lImliNk1XUNNvNfdnw4hkjW9OqsK9U3ULm5HMXPmzKF///5F7u/atSu//PKLBOCixLbHW3liXTIHUwpff9TLoPBEGx8mtfGptEzIAWYdwxt6MvxSMqFUq8q2eCubYq1sjrOyPd5KZnHdgVfIccCuRBu7El2TyQWZdTT01dPAx0BTfwOtAp3zYxv5GiT5i6gUyRaVOceymBGTVWzyw1APHQ+29OaBFt6ESEOSAIY39ORnQzD3rEgi+4oFw5/akIKPUWFEI68yfb+lZ3K4Z2VigUDpxQ6+vNTBV4JvUWLhXnre7hrApDa+fLQ7ne+PZBboEd8Sb6X/H/Hc39ybf3b0k2lnQgi3uB2Anzx5stjWoSZNmvDdd9+VSaFE7ZBpU3lnZzpfHsgodHi3QYG7o7146To/Iq6yBFhF8zfpGFDXgwF1PQBnBui/dh8j1jOCLXFW9ibZOJJiL3aIbn5JFpUki8qOhIKBToiHjjpeeqJ89DT1cwboDX0NBHvoCDI7b5IYRpSFk+l21lywsOxsDn+dKT6bebS/gSda+zCmiZdkLBcF3FjPgx8HBHHnssS8eqRq8NDqZEw6hZsblE129KJ62//V0Y9n2/uWyXuI2ivSS8/7PQJ4sq0PH+5OZ2ZMlst3u6rBtEOZzDuRzWud/bgr2kuGpQshiuV2AG42m7lw4UKR+8+fP19gWTIhCqNpGnOOZ/PattRCM497GRTGN/PiidY+1POp2KHmpWXQKTT30RgW7cMDLZzbrA6Nw6l29ifZ2JdkY3+y85Z/PVp3JOSoJOSo7CmiF1IBwj11RPnoifIxEOXtDNYb+BroFGKU4e2iAE3T2J9sZ8NFCzFpdo6n2TmcYncrk3mPcBOT2vgwJMpDLjRFsfrX9WB63yDGr0wityPcrsG9K5OY3i+IW64xCJ9zLItH1ibjyNfY+VZXfx5vXTFJ30TtEOVj4JNegfyjnS+vbEll0ekcl/2JFpVJ61P4/kgmU3sF0jLQWEklFUJUdW5HN127duWHH37g4YcfJjAw0GVfcnIyP/74I926dSvzAoqa5WCyjafWp7AlvvAso+OaevFGF78aMYzVpFdoG2SkbZDrl3BctsMZlCfnBuZ2DqfYil2L9Go04GK2ysVsla3xrkG6ToFOIUZurOfBwLoedAgxStBUS6VaVf4+m8OSMzmsOm8hvpgVBvJTgGENPHiyjS9dwmS+o3DfzQ08+bp3IBPXJOflzrBrMGFlEt/2Lf064TOOZPLU+pQC+Tg+6hHA/S0qdtkzUXs09DXw04Bg/j6bwwubUgokjN0Wb6Pfwjje7OLPgy28ZfqDEKIAt5Ow7dy5k5tuuomgoCAeffRRWrVqhaIo7N+/n6+//pqEhAT+/PNPOnfuXN5lFtXUn6eymbgmudC50vW89XzaKyBvSHd1dC1JPByqxoUsByczHHk9kYdSbBxKtnMh21GqDOxFCfHQ0b+umYF1PRhQ1yy949WUu/Uty67y+4ls5p7IZs0FS4kbehr76hkX7c2dTTyrzYgUUfbKIknRzJhMJq1zDZj1CnzaK4C7S7hO+H8OZPDC5lSXbTqFSllzXJS96pIUK8euMXVfOh/tyXDJdZBrcJQHX1wfUCM6FWqy6lLfRM1RomXIVq9ezVNPPcWpU6fyWvQ0TaNhw4Z8/PHH9O3bt7zKKaoxTdP4eG8Gb25PK9BTYdTBY618eK6Db6UlWCsr5XUCt6sasdkq5zMdHE+3E5Nq52iqnYtZjrx544k5aqmysitAp1AjN0SaaRVopGWAkWh/g8wnrwauVt8OJNuYfjiTWceySLO6XztMOugaZqJPpJl+dT3oFGKUHhxRZue3n2IyeXxdwV7rh1p683ZX/6uurWxXNf65NZWvD2S6bNcr8N8bAhnZuGyTu4nKUd0CotMZdl7enMqf+YalA4R56viqd2C17mCo6apbfRPVX4nXAdc0jd27d3PixAk0TaNx48a0b99eLtBEodJtKv9Yn8LcE9kF9t0U5cFbXf1p7FczetUq8wRudWicz3JwOsPBmQw7ZzIcnMl0sCvByv7kwrPLF8VDDx1DTPQMN9M1zESLQAP1vPUybL2KKay+Zds15p3I4vsjWWyOK3yax5V8DArXRzr/z038DHk3T0moJvIpy/PbrGNZPLq24DrhPcJN/PeGwCJHWiTlOLhvVTJrLrguhWfSwfS+QWWW1E1UvuoaEM06lsVzG1NItxW8tH60lTevdfaXVU2qoOpa30T1VeIAXAh37Uuycd/KJI6muQaAegWmdPPnwZY1K0FOVT2Bn890sOxcDsvOOuf9phVyYXA13gaF5gEGuoSa6B5uoluYmUgvnTS8VaIr61tCjoNvDmQy7VAGyZbi/79N/QwMa+DB4CgPOoeartrjKASU/fnt9xPZPLo2ucCwXbMe7m/uzTPtfAn1dA7bzbKrzDySxad7MziX5Trf1kMPPw4Ilt7FGqaqfp+642S6nYmrkwvNddMpxMisgcEyJL2Kqc71TVRPJQ7ADx8+zMmTJ0lOTkbTCj517NixZVY4UX39FJPJMxtTyMmXUDnApPB9v2D61DFXTsHKUXU4gdtUjS1xVpadzeHvc5Zi13a+mgCTQvMAI838DXQMMdEt3ESLAIP0lFeQmJgYjBGN+GJfBjNjsgqdf5gr2Kzjrmgvxjb1okWAQRpORImVx/ltd6KVu1ckcSajYOZ9Dz008DEQ7qVnf5KNREvB5AX1vPXM7B9EhxBJCljTVIfv0+LYVY33dqfzwe70AiM9mvjpmTsohIa+NWP0X01Q3eubqH7cDsBPnTrFww8/zJYtWwoNvAEURSEpKalMCyiqn+8OOYPv/FoFGPihfzBN/Gvml051PIFfyHKw5oKF/Uk2DlzKyn6xFMuk5fIzKbQOdAbl0f4G2gaZ6BRqxKeaz++vanYnWnlrwwWWJRqKTdB3Q6SZ+5p5cXMDTxn2KK5JeZ3fEnMc3L8qmdX5hpVfTY9wEzP6BeX1kouapTp+nxZmY6yFiWuSCzQyhXromDMwuFIbjywOjf1JNrKuaLzNtmtk2jQy7Sr1vA30jKgdo6RqSn0T1YfbAfjIkSPZtGkT//rXv+jVqxcBAQGFHle/fv2yLJ+oZn44ksmk9SkFtt8T7cWU7v54GWpuIFYTTuCapnE6w8GmOCubYi0cSHZmY08tQRKv/HQKtAo00iHYmeAt2t9Aq0AjDXz00hNbQrsTrbyzM52/zhRM9JPL36Qwvpk39zbzoqm/rEMrykZ5nt8cqsaPR7N4b1f6VdehN+thYksf/tXRT5JF1mA14fs0V4pF5b5VSaw679rI5G1QmNE/qMKnT1zMcvDtoUymH84k4SpLUYZ46BjZyJPbG3vSKcSEvoYG4zWpvonqwe0APDIykieffJKXX365vMskqqlfjjoT61xZocx6+KRnIGOb1vzMtDX1BK5pGhezVXbEW9kUZ2VzrJW9SbZihzy7I9iso3OokQ4hJqL9LycA8zPV3Eaa0tA0ja3xVj7bm8EfhWTYzVXXS89jbXwY38yr2q8oIKqeiji/5dg1ph/O5PN9Bed6+5kUHmzhzcMtfQj3kl7vmq6mfZ9aHRpPrEtm9nHXhLQGBaZeX/7XSA5VY9UFCz/FZLHgVHaJl6MECDQr3BBp5sa6Hoxq7FmjOlRqWn0TVZ/bY4H9/f0JDg4uz7KIakrTNL48kMk/t6S6BN9GHfzQL5hBUZIcpzpTFIVILz03N/DMyzKsahpnMx0cSbGzO9HGljgLm+OspJSgpzzRorLkrIUlZ117BZr6GegY4gzMm/oZaOSnp76PodYNoc7NaP6fg5nsSix6rn7LAANPtvVlVCNP6REU1ZqHQeHR1j480sqbhByVC1kOYrNV9Ap0CTNJw5Kotkx6ha9vCCTSS8+n+zLytts1eHRtMhezHDzdzrfM39emany6N4NvD2VwIav008sAki0a80/mMP9kDh/tSeer3oF0D695+XyEqAhuB+Djxo3j999/Z+LEieVZHlHN2FWNlzen8t9DrmuyGhT4X98gCb5rKJ2iUN/HQH0fAzfW8wB8UTWNU+kOYlLtHEm1sT/ZzrZ4KzGpJVsG7WianaNpdpeeAp0CzfwNtAsy0vbSUHbn++tr1Pxyh6qxOc7Kz0ezmH8yu9iM9W18HfyzWyiD6nlI4jtRoyiKQqinXuZ3ixpFpyi83sWfSG89L2927bB4fXsawR46xjfzLrP3S8xxMH5lEusvFr0kpZ9RoXWQEQXQAE+9grdRQafAyvMW0opoVD+R7uCmRQk82caHl6/zw0OWrhSiRNwOwAcOHMjKlSu55ZZbmDBhAvXq1UOvL/jl2KlTpzItoKi6cuwa965KYkm++ah6Bb6VNVlrHZ2i0MjPQCM/g0vDS1KOgx0JNo6k2jma6pxTvjvRRqbd/d5yVYNDKXYOpdgLDOGL9NLRKtBIq0AjTfwMRHrpqeOtp76PHv8qPpzd6tDYmWBlY6yVjbEWNsZZi7zgydUxxMjL1/nRIOsMzaLkMyaEENXJI618iPDUM3FNEtYrOqWf25hCywAjXcKuPTHbwWQbdy5L5FQhKwwANPbV80grH8ZGFz1lKceusfRsDr+dyGbl+ZwCuWA04NN9Gcw/lc3/XefHqMae0hgshJvcngMeGBh4+UmFfMA0TZMs6LWIqmncvyqZ30+6BkO+RoXv+wXRvxauySpziNznUDUOpdjZnmDlSIqzx/toqp1jaXaubWa5qzBPHU39DDT0NRDmqSPEQ0e4pzM4r+9rINxTVyEXDHZV40yGg+Ppdo6nOW97k2xsj3dvLr0CDIryYGJLb/rXMaMoitQ3UaGkvomKVBvq27qLFu74O5GsKxqjIzx1rBweRmQp8xxomsYPMVm8sjmVjHyN3N4GhVsbejIu2oue4aYSffc5VI1diTZmxmQy/XBWoce0CTIypZs/vSKq37D02lDfRNXidg/4559/LhmLRZ43tqcVCL7reeuZdWMwrYMk87Ionl7nHPaWv65k2FR2J9rYkWDlUIqdE2l2TqbbOV/KuWtx2Spx2VY2xBY+BE+vOBuNfE06fI0KfsZLPy89zt3ua9Tha3L+VDWNHIez9zrHoWFx+elc2iXDppJq1Ui1qlzMcnA6w0EJOvzzhHnquKOxFw+08KaRX81cvk8IIWqj6yPMfHF9ABNWJedtu5itcs+KRP4YElriYd3H0+w8tT6ZtYUMOe8ZbmJG/yBCPEoX2Ot1Cp1CTXQKNTG8gSdPrEspkChxX5KNW/9K4Nu+QdzaUEZnCVEct6/o7rrrrvIsh6hGvj+cySd7M1y2Nfc38PuQkFK32goB4GPU0SvCXKAFPdWqsjfJxp5EGweTbZzOcHA6w86ZUga2uRwapFg1UqzFL31UkQJMCv3renBnEy/61zVjqKHLvgghRG03opEXexJtfHzFNdW2eBsPr03iuz5Bbi/7Nf9kNo+sSS50RNV9zbx4r3tAmSXp7FfXg/W3hfHWjjSmH850+Q62a/DAqiSQIFyIYrkdgE+bNo3bb7+9yPW/Re3wx6lsntmY4rItzFPHnEHBEnyLcuNv0nF9hJnr8wXmVofG0TQ7B5NtHEyxcy7TwflMB+cyHZzKsJdqqZWKVsdLR49wMz3CTfSMMNMiwCDz6IQQopb4Z0c/9iXZ+Pvc5RVB5p/M4WXPVKZ087/q6NPfT2TzwOok8sfeXgaFyV38mdDcq8xHsAaYdbzfI4BHW/vw1o405p64PCJSgnAhrq5Ec8BNJhM33ngjY8aMYciQIZhM154oQlQf805k8eDqZJeTvKde4c+bQugYKnVB5hBVLXbVmZX9aJqdi1kO4rIdxOWoXMh0Dgk/k2kn2VKWM86LF+6po7GfgUa+Bhr7GWjsq6djqIkGPvpSXRxJfRMVSeqbqEi1rb6lWFQG/xnP4XyrhrzWyY9/FLM8WVHBd/86Zj7uGUAD34qZuvTz0SweW5vsksNFr8Drnf14vLVPlZ/CWtvqm6h8bn8yN23axC+//MKvv/7KokWL8Pf3Z8SIEYwZM4bu3buXZxlFFTDrWBaPrk1GveLsqgDT+gRK8C2qJINOoYm/gSb+RZ/mrJfma6fZNNKsKuk2jXSbSrpVy7ufZnXuT7+036ADs17BQ69c/qlTMOvJ2+ZpUAgw6/A36Qgy62joW7OWSxNCCFF2Asw6fh0UzKA/413W635texqeBoWHW/m4HJ9j1/jPwQxe357mEnzrFPioRwD3Niv7Xu/ijG3qBeAShDs0+OfWNPYk2vikVwBeBvkOFCKX2z3gV1q7di2zZ89mwYIFpKenU79+fcaMGcMdd9xBkyZNSvRa06ZN47PPPiM2NpYWLVrwzjvv0LNnz0KPPXXqFO3bty+w/ddff+XGG28s6a8h3DTvRBb3r3Jt2VSAqdcHcHd02a1ZWd1JC6qoSFLfREWS+iYqUm2tb/uTbNy0KJ40m+ul+cvX+fJCe1+yHRrzT+bw1o40zma65i7RKfBN70BGN/GqyCK7KKwnHKBdkJHfBwcTVMokcOWtttY3UXlK1RzVu3dvpk6dSkxMDNOnT6dp06a8//77dOnShYEDBzJ9+nSysgpfpuBKv/32Gy+99BLPPvssa9asoWvXrowePZozZ84U+7y5c+dy+PDhvNsNN9xQml9DuOFIio0n1qUUGFb0nxsCJfgWQgghhCgjrYOM/DggGFO+q/N3dqbTa34cDX+8wKNrkwsNvr+u5OAbnD3hv9wYjJ/Rtfd9T5KNx9eloGkVN+1LiKrsmsaDbNu2jRUrVrB161Y0TaNdu3YoisIzzzxD+/btWbNmTbHP/+KLLxg3bhz33nsvzZs35/333yc8PJzvvvuu2OcFBQURHh6ed5O56OUjy65y78okMq9IcWlQ4Lu+QZV+khdCCCGEqGl6R5r5+cZgPPNlLT+QbMdaSGJRP6PCt30CuaOKXJcNjvJgxS2htAhwnf61+EwO3x+5euecELVBiQPwI0eO8Oabb9KuXTuGDRvG0qVLuffee9mwYQOrVq1i6dKlrF+/njp16vD8888X+TpWq5Vdu3bRv39/l+39+/dn8+bNxZbhnnvuoWnTpgwePJj58+eX9FcQbnpuYyoHU1wTgnzYI0CyWgohhBBClJMBdT2YNzgYP1PR87iNOni0lTc7bw9nRKOqEXznaupv5O9hoXQONbpsf3lzKjGptkoqlRBVh9tJ2L766itmzZrFnj17MJvNDB06lI8++oj+/fuj07nG8a1ateLhhx9m0qRJRb5eYmIiDoeD0NBQl+2hoaHExcUV+hwfHx/efPNNunfvjsFgYNGiRUyYMIGvvvqKMWPGuPurCDfMOJLJT0ddWyrvaOLJ+GZV6yQvhBBCCFHTdA8388eQEEYtTSQ+53LXdwMfPTfW82BSGx8aVlCW89LwNer47w1B9J4fR8alkZTZDo2HViez9ObQMluXXIjqqETLkHXr1o2xY8cyYsQI/Pz8ij3+4MGDzJ8/n5deeqnQ/RcuXKBly5YsWrTIJenau+++y9y5c9m6datbv8Czzz7Lxo0b2bBhQ5HHxMTEuPVawmldko7nDphxcPnk2NBT5fsOOchS30IIIYQQFSPFBkviDXjpNTr6q9T1qF7zqBfG6nkjxuyybXCondeaWTFIDC5qqKsl9XO76Wz79u00btzY7Tdu2bIlLVu2LHJ/cHAwer2+QG93QkJCgV7x4nTq1Ikff/yx2GMks6H7NsVaeGVjIo4r0q556hV+GhxBq0BjMc8UkkVTVCSpb6IiSX0TFUnqm6sulV2Aa/B0U43dtiTmn8zJ27Yk3oDZy4dpfYKqRE+41DdR0dyeA15Y8H3u3Dm2b99OSkpKid/YZDLRoUMHVq5c6bJ95cqVdOvWze3X2bt3L+Hh4SV+f1HQ/iQbY5Ylkn3FopIK8FXvQAm+hRBCCCFEiSiKwic9A6nv4zqEcsGpHMavTMLiqF49+kKUhWID8G3btjFlyhTi4+NdtsfGxjJs2DDatm3LwIEDiY6O5tVXXy3xmz/++OP89NNPzJgxg8OHD/Piiy9y8eJFJkyYAMDrr7/O8OHD847/6aefmDNnDocPHyYmJoapU6cybdo0Jk6cWOL3Fq7SrCrjlieSanU9EX7YI4DbGknSNSGEEEIIUXKBZh0Lh4TQIF8Q/teZHCasSsKuShAuapdih6B/++23rF27lhdffNFl++OPP8769evp2bMnHTt2ZNWqVUydOpUWLVowduxYt9985MiRJCUl8f777xMbG0vLli2ZPXs29evXB+DixYucOHHC5TkffPABZ86cQa/X06RJEz7//HNJwFYGXtycyqkM13UlX7nOl/tbyFrfQgghhBCi9Br4GvjzphBuXZLAsbTL15uLTufw9IYUPusVgKJU/nB0ISpCsUnYunTpQv/+/ZkyZUrethMnTtCxY0f69+/P3LlzAbDZbPTr1w8/Pz8WLVpU/qUWZer3E9nctyrJZdt9zbz4uKecDEtC5hCJiiT1TVQkqW+iIkl9q7kuZjm49a8EDqe6LnP7TDsf/t3Jv1LKJPVNVLRih6DHxsYWqJBLlixBURTuu+++vG1Go5Hbb7+dAwcOlEshRfk5n+ngHxuSXba1DDDwTjcJvoUQQgghRNmJ8NIzb3AI9bxdh6N/tCeDnvNieWlzCivO5aBpMixd1FxXTcKW/wOwZcsWAHr16uWyPTQ0lOzs7DIsmihvWXaVB1cnkXLFvG+TDv7TJwhPWRtCCCGEEEKUsTreeuYNDibY7BqGHEix8/WBTEYuTeTOZYlk2dUiXkGI6q3YALxRo0Zs2rQp77Hdbmft2rU0a9aMoKAgl2MTExMJCQkpn1KKMpduUxm1NJENsVaX7f/q6EfbIMl4LoQQQgghyke0v5E5A4PxLqLDZ8lZC3f8nUi6TYJwUfMUG4CPHTuW+fPn8+6777JmzRqeeeYZEhMTGT16dIFj169fT9OmTcutoKLspFhUbvsrgY35gu/eESYeb+NTSaUSQgghhBC1RcdQE3/eFEKPcBOFheHrLloZuSSBFIsE4aJmKTYL+gMPPMDKlSuZMmUKiqKgaRq9e/fm8ccfdznuzJkzrFixgn//+9/lWlhx7TJsKrcuSWB3os1le5sgI9P7BaGTed9CCCGEEKICdAgxsXhoKCkWlXUXLbyzM439yZcTtG2Nt9FtXixPtPHh/ubeeBuvOntWiCqv2ADcaDQya9Ysdu7cyYkTJ6hfvz6dO3cucJzNZmPatGkF5oWLqkXVNCauSS4QfHcKMTJ3UAgBZjmpCSGEEEKIihVg1jGsgSe9IsyMXJrAzoTL16qx2Sr/2prGJ3syeKebP3c08arEkgpx7YoNwHNdd911XHfddUXub9y4MY0bPVFZkgAAH2BJREFUNy6zQony8fq2NBadznHZ1iPcxKwbg/EzSfAthBBCCCEqT6BZx++DQxjzdyKb4lynSiZaVCauScbPpDAkyrOSSijEtZOoq5aYGZPJp/syXLa1DXImwJDgWwghhBBCVAX+Jh2/DQ7myTY+eBWSpO3xtSnEZjkqoWRClA2JvGq4TJvKS5tTmLQuxWV7uKeOX24Mxkfm0gghhBBCiCrEy6DjjS7+7B0dzrPtfNBfEYcnWlQeW5eMKmuFi2pKoq8abP1FC73mx/H1gUyuPEV56OHnAcHU9dZXWtmEEEIIIYQoTrCHnn918uelDr4u25efs/D1gcxKKpUQ16ZWBOBaLWwh+/loFrf8lcDJdNchOjoFvuodSMdQUyWVTAghhBBCCPc9086XHuGu166vbUtl+bmcIp5RuRyqhsVR++IP4Z5aEYCvuWC9+kE1yPRDmTy6Nhk13+e+vo+eeYNCGNFIskcKIYQQQojqQa9T+M8NgfiZLo9Ft6owdlkif53JrpQyWRwaay9YWH0+h1PpdqwOjaVncrh3ZSKRP5yn6c8X+HhPugyVFwW4lQU9v7Nnz5KQkEDTpk3x8fEp6zKVuY/3ptOnjrmyi1HuHKrGl/sz+Ne2tAL7Jrb05t+d/GTOtxBCCCGEqHaifAx81jOQ+1Yl5W2zqnDPiiS+7RPE8IYVlxk9264xYklCgUztV7KqGq9vT2NjrIWvewcS5CFTP4VTiaKxP/74g44dO9KuXTv69+/P9u3bAUhMTKRnz54sXLiwXAp5rVadt7Ajvub2gsdlO/hgdzrtf40tEHwbdfB9vyDe6x4gwbcQQgghhKi2bmvkyZRu/i7bbCpMWJXEtgq81n9nZ1qxwfeVlp61cMOCeOYezyLHLr3hogQB+JIlSxg/fjwhISG8+OKLLvOqg4ODqVevHj/99FO5FLIsfLQnvbKLUOY0TeP7w5m0nxPL5B1pnM10ne9t1sPM/sHcWoEtgkIIIYQQQpSXh1v58EnPAK5coMyhwRvbC44ALQ9b46x8vj/j6gde4WymgwdWJ9Ni1gWe35jC+UxZRq02czsAf++99+jWrRtLly7loYceKrC/S5cu7N27t0wLV5b+OJ3DoRRbZRejzGTbNZ5Yn8JTG1LILiTJg6deYdaNwQyO8qiE0gkhhBBCCFE+7mvuzdTrA1y2rblgYUucpVzfN8eu8fg61zxLvkaFEA9nSOVjULgr2otfbgyiayEJj1OsGv89lEnv+XEcqUFxiSgZt+eAHzhwgDfeeKPI/eHh4SQkJJRJocrLh7vT+W+foMouRqkdT7OzLd7K/iQbS87mcCjFXuAYT73CyMae/KOtD9H+xkoopRBCCCGEEOXr7mhvZh/LZs2Fy0H3h7vTmTWwfPI+nUiz8+GedI6kul5//69fEAPqepBlV/HUKyiKs29+QF0PXt2Wypf7Cy6XlmhRGbEkkb9uDiHKp1QpuUQ15vZ/3GQyYbEU3ap05swZ/Pz8yqRQ5WXO8Wy6hGYwsVXVTxx3pVPpdv65NZWFp4peasHLoPDKdb7cHe1NgFnmegshhBBCiJrt2Xa+LgH4krMWdidaaR9cNsvtaprG1wcy+e/BDI6nFxw2Pr6ZFwPqOkebehlcr7+NOoW3uwZwd7Q3PxzJZNaxbJIsat7+c1kORi5NZPHQEEIkQVut4nYA3r17d+bNm8cTTzxRYF9aWho//vgjvXv3LtPClYcXN6cS7KHDx6hj1rEszmY4GBftxb3NvPJarCrTljgLf53JIduu4W/SkW7T+PZQBjnFTBWJ9jcwo18QLQOlx1sIIYQQQtQON0Sa6BpqYssVCdg+3J3OjP7BZfL6v53I5uUtqYXuq+ul580u/oXuu1KrQCPvdAvg9c7+PLcphRlHsvL2xaTauW1JItP7BsrI1VrE7QD8pZde4qabbuK2225j9OjRAOzZs4djx44xdepU0tLSeOGFF8qtoNfCy6CQdSnroAY8sDrZZf+WeCvrLlr4rFcAekVhwclstsRb6RZmYmQjT3SXAnNN0ziT6SDApMPPdLmVS9M0diTYsKoanUNNGHXO4y0OjcWncziVYad7mIkuYSZ0isKhFBv/O5zJviQbwR46OoWYCPXU87/DmWx2M6NirpGNPPmkZ4BLeYQQQgghhKjpFEXhufa+3LEsMW/bwlM5HEy2XXPHlF3VeGtH4YndjDr4sncg/iW4/jbpFT7uEUCKRWXBFaNa9yXZ6D0/jlc7+fNwK++8uEPUXEpKSorb+fDXrVvH008/zdGjR122N2nShM8//5zu3buXeQHLwt9nc7hzWSKF5Cpz0dzfQKJFJSHn8vCQzqFGPugewKkMB5/sTWdngg2jDkY08uThlj6cSrfz0d4M9iU5EymEeOgY2cgTH6PCjCNZLq8V6qGjga+ebfGlT7rQLsjIgLpmWgcZ6RhiorGfzBupKmJiYoiOjq7sYohaQuqbqEhS30RFkvomSkLTNPosiGdP0uXr62b+Bha5ObS7qPr2w5FMJq1PyXusU+D6CDMD6pq5taEnDX1Ldw1ucWiMWZbIqvMFp/b2rWNmRr8g6Vir4UoUgOfau3cvx44dQ1VVGjVqRIcOHarE8O3i/BSTyWPrUiq7GKUW6qHjtc5+jG3qJS1jVZRcMIiKJPVNVCSpb6IiSX0TJTX/ZDb3rkxy2dYuyMjCm0Ku2ktdWH2zOjQ6/xbL6YzLc0DvbebFp70Cy6S8GTaVR9cmF5rfqXeEiTkDQ/AwyPV+TVWqppu2bdvStm3bsi5LuRoX7U2iReXVbWmomnOZgNsaebI1zsrh1ILZxCvTgLpm+kSaSbNppFlVmvkbGN3Eq0TDXIQQQgghhKgNhjfw4JYGHi4B7Z4kG2P+TmTuoGC8jSW7hv4xJssl+Dbq4Nn2vmVWXh+jjhn9gph1LJsXNqeQZr3cH7r2opX7Vycxo18QBp0E4TWR2wH4+vXr2bt3L4888kjetjlz5jBlyhRSUlIYNWoU77zzDjpd1Q0SJ7XxZXA9D+JyVDoEG/Ex6kizqjy8JpnFZy5/YP2MCq2DjGyMdX8+tgL4GBXSba4DCvyMCt3DTWyMtbrs6xFu4p5oLzJsGjsSrJzJdBDtZ+CBlj60DZIkDEIIIYQQQrhDURSm9QnizmWJrLxiaPemOCtPrk9hWp/AYkfrWhwaH+9JZ3u8FUWhwHTRe5t5U7+MlwtTFIU7m3rRO9LMPSsS2ZFw+T0Xnc5h0voUPu8VgF6C8BrH7Zo0ZcoUgoOD8wLwI0eO8Nhjj9GoUSOuu+46/vvf/9KgQQMee+yxcitsWWgWYKTZFY/9TDp+HBDEz0ez2BhrpVOIidFNPPEx6vjrTDYvbErldIYDgwKjm3gxqY0PZzMcfH0ggxXnLRgUGNPUi3+09SHK28DSszn8fjKbFIvKLQ08817L4tBYf9HC8TQ7PSPMtJKM5UIIIYQQQpQJs15hZv8gRi5NdElqPPdENjfW82BsU69Cn6dp8NjaZOaeyC7ideGZdmXX+51fXW89vw4MZujiBA6lXB6V+/PRLE6m2/mqd2Cp55uLqsntOeDNmjXjySefzFuGbPLkyfznP/9h3759+Pn58eijj7J79242bNhQrgWuaDZVY2+ijfq++gKJHJItKkadcxiJEDJnTVQkqW+iIkl9ExVJ6pu4FikWlaGL4jlwRTDrY1BYe2sYdbz1bLhoQQN6R5ox6hTeWHWCj04UvW74o628eadbQLmX+3ymg8GL4jmT4br2sK9R4b3uAdzZxLPK59wS7nG7OSUtLY2AgIC8x8uXL6dfv374+fkB0KNHDxYuXFjmBaxsRp1Cx9DCP5SBZgm8hRBCCCGEqCoCzDq+6xdE3wVx5FyKZTPsGsOXJJBmVUm9NN+6qZ+Bu6K9+PRk0aNSm/jpea4M534Xp463nt8HhTB0cTyx2ZdXUUq3aTy6NpldCVbe6eYvyZhrALcjyPDwcA4fPgzAhQsX2LNnD/3798/bn5aWhl5/9VT/QgghhBBCCFFeWgQYeaurv8u2MxmOvOAb4Giande3p+HQLge0fkaF6X0D+aF/EHMHBbN6eBjBbixlVlaa+BtYPTyMG+uaC+z75mAm969KJsde4gWsRBXjdg/4Lbfcwn//+18sFgs7duzAbDZz00035e3ft28fDRs2LI8yCiGEEEIIIYTb7m/uzbKzFpdEy1fzVe9Abm7gWY6luroILz1zBgbz7aFM/rk1Na8XH+D3k9nE5zj4X98gQj2l47O6crsH/OWXX2b48OHMnj2b2NhYPv/8c8LCwgBn7/fChQvp169fuRVUCCGEEEIIIdyhKAqfXx9ApJdruBNk1qEvZBT30219Kj34zqUoCg+29OHvYWFEeLqWf/1FK51/i2XawQwcqvSGV0duJ2ErjqqqpKen4+XlhdEo2b1F7SRJY0RFkvomKpLUN1GRpL6JsnQ+08HHe9JBgSFRHvSJNHM8zc5bO9OYf9LZO35zfQ++r6Lrbp/OsDN6aSKHU+0F9rUPNvJpzwA6hBSdRE5UPWWS016n0+Hv73/1A4UQQgghhBCigtTx1vN+jwCXbc0CjHzfL5hT6XZ2Hz3JsA51qmxys/o+Bv66OZRxyxPZGGt12bc70caAP+J5up0vL7T3xVRY176ockocgG/ZsoVdu3aRmpqKqqou+xRF4YUXXiizwgkhhBBCCCFEeWjga8Dqo1XZ4DtXoFnHgiEhfH0ggyk708m4IhGbQ4MPdqez6HQ273YLoHeESZYrq+LcDsBTU1O588472bx5M5qmoSgKmub85+felwBcCCGEEEIIIcqWUacwqY0voxp58c+tqfx2Ittl/4FkO8P/SqBrqIln2vswuJ6HBOJVlNtJ2F577TV27tzJ119/zc6dO9E0jd9++43t27czfvx42rVrx5EjR8qzrEIIIYQQQghRa9Xx1vNd3yB+HhBEuGfBUG5LvJU7lyVx/fw4fjueJYnaqiC3A/C//vqL8ePHc8cdd+Dn5+d8sk5H48aN+eSTT4iMjOSVV14pt4IKIYQQQgghhICb6nuyaUQ4dzQpPHP7/mQ7969Opuu8WL7an0FslqPQ40TFczsAT0pKok2bNgB5mc4zMzPz9g8cOJBly5aVcfGEEEIIIYQQQuQXaNbxnxuCWDI0hMH1zIUecyzNwctbUmk5+yIjliTwY0wmqVa10GNFxXA7AA8LCyMuLg4AX19ffH19iYmJydufnJyMwyEtK0IIIYQQQghRUbqFm5k1MIQ1w0MZ0dCTwmZ+qxqsPG/h8XUpNPvlAuNXJDL3eBZJORK/VTS3k7B17tyZ9evX89xzzwFw4403MnXqVCIiIlBVlS+//JKuXbuWW0GFEEIIIYQQQhSuXbCJ6f2CeCXVxid7M5h1NAt7IVPALQ5YcCqHBadyUIBOoUb6RJrpEmaia6iJIA99hZe9NnE7AJ84cSLz5s0jJycHDw8P3nzzTUaMGMEjjzwCQJMmTXj33XfLraBCCCGEEEIIIYoX7W/ki+sD+b/r/Pj1eBZzjmezN8lW6LEasC3exrb4y/ub+hnygvGOoUaa+RvxNEhG9bKipKSklDo1nqZp7Nu3D71eT7NmzTAYSrysuBA1RkxMDNHR0ZVdDFFLSH0TFUnqm6hIUt9ERaot9e1Qio1fj2Uz53gWpzJKNuxcARr66mkWYKSFv4HmAQai/Y3U9dYT7qlDr5PgvCSuKWJWFIW2bdteUwGmTZvGZ599RmxsLC1atOCdd96hZ8+eRR6/f/9+nn/+eXbs2EFgYCD33XcfL7zwgqxzJ4QQQgghhBCFaBFg5J+djPxfR1+2xltZdDqHZecs7CuiZ/xKGnAi3cGJdAdLzrju0ysQ7qmjjreeSC89dbz01PF2/oz01hPioSPIrCPQrMMogTpQigD88OHDnDx5kuTkZDStYOf52LFj3X6t3377jZdeeokPP/yQ7t27M23aNEaPHs2mTZuIiooqcHxaWhojRoygZ8+erFixgpiYGB5//HG8vLyYNGlSSX8VIYQQQgghhKg1FEWha5iZrmFmXusMF7IcrLlgYWuclS1xVvYl2yjJ0uEODc5nqZzPUoHig3k/k0KQ2RmQB5h0+BgVfE06fI0KvkYdfkYFb6MODz14GXR4GhQ89ApeBgUPg4KX3vnTUw8GnYJB9//t3X1MleUfx/EPnnyaJJx4OKgHcQaFMoxxUJykKZjaTGzoSjTXsAcim7WGT6lhxsQEXDrItanzD3TTGRWp01ZRa8gx0zH/oF/pDJ0OUTAoSlDh/P7wx+l3PAc8PJ0D9n5tDO7rvu5zf2/35cLvOfd9XdLAAT56yEf96sNYt29Bv3jxotLT0/Xjjz+6LLyluxd+48YNt0+elJSkqKgo7dixw94WGxur+fPnKysry6n/7t27tXHjRv36668aOvTumne5ubnas2ePKisr+9U/PB48/5ZbmNA3kG/wJPINnkS+wZPIN0eNt1t1pvb23YL8+i395/fbutTYoi4/s+whA3ykgQOkh3zuFuZt3wcO8JHBRw4/G3x85ONz99b6Af/7/s+2j8O2/XvbvnuOs0my2aRQX4O2JxjditXtAjwlJUVWq1UbNmxQQkKC/P39XfYbPXq0Wye+deuWRowYod27d+u5556zt2dmZqqyslJHjx51OiY9PV2///67Dh48aG87c+aMEhMTVVFRoTFjxrh1bgAAAAAAPM3tW9DLy8u1YsUKZWRk9MiJ6+rq1NLSoqCgIIf2oKAg+3rj97p27ZpGjhzp1L9tHwU4AAAAAKCvGuBuRz8/PwUEBPR4APfeNm6z2Tq8ldxVf1ftAAAAAAD0JW4X4IsXL9bnn3/eYycOCAiQwWBw+rS7trbW6VPxNsHBwS77S2r3GAAAAAAA+oJ2b0E/ffq0w/asWbNUWlqqefPmKS0tTWazWQaDwek4i8Xi1okHDRqkmJgYlZaWOjwDXlpaquTkZJfHTJo0SRs3blRTU5OGDBli7z9ixAiFhYW5dV4AAAAAALyh3UnYjEZjp273brt1vDOzoBcXFys9PV35+fmKj4/Xnj17VFRUpPLyco0ePVrvv/++Tp8+rZKSEklSQ0ODJk6cqCeffFKZmZk6f/68li9frlWrVrEMGQAAAACgT2v3FvTCwkIVFBQ4fBUWFrpsb9tXUFDQqZOnpKQoJydHubm5mjp1qqxWqw4ePGifSf3q1av67bff7P39/Pz02Wefqbq6WjNmzNDKlSu1fPlyvfnmmw6vu2vXLk2YMEEmk0lPPfWUTpw40am4AFdycnLk7+/v8PXYY4/Z99tsNuXk5CgyMlIhISGaO3eufv75Zy9GjP6krKxMixYt0rhx4+Tv7699+/Y57Hcnv5qbm7Vy5UqNHTtWI0eO1KJFi3TlyhVPXgb6ifvlW0ZGhtN4N3PmTIc+5BvctW3bNs2YMUOhoaF69NFH9cILL6iystKhD2Mceoo7+cYYB29yexmy/qK4uFivvfaa8vPzNXnyZO3atUv79++X1WpVaGiot8NDP5aTk6Pi4mIdPnzY3mYwGBQYGChJ+uijj5SXl6fCwkJFRERo69atslqtOnXqlB5++GFvhY1+4quvvpLVatUTTzyh119/XXl5eVqyZIl9vzv59c477+jo0aPauXOnjEaj1q1bp4aGBn3//fcuHxnCv9f98i0jI0PV1dX65JNP7G2DBg2S0fjPGqfkG9yVkpKilJQUxcbGymazafPmzTp16pROnjxpzynGOPQUd/KNMQ7edN8CvLm5WUePHlVVVZUeeeQRzZ49WyEhIZ6Kr9OSkpIUFRWlHTt22NtiY2M1f/58ZWVleTEy9Hc5OTkqKSlReXm50z6bzabIyEi9+uqryszMlCTdvHlTERER+uCDD5SWlubpcNGPjRo1Slu3brUXRO7kV0NDg8LDw1VYWKjnn39eknT58mVFR0fr0KFDSkpK8tr1oG+7N9+ku/85vXHjhg4cOODyGPIN3dHY2KjRo0dr3759euaZZxjj0KvuzTeJMQ7e1eEs6DU1NZoyZYpefvllbdq0SW+//bYsFovKyso8FV+n3Lp1SxUVFUpMTHRoT0xM1MmTJ70UFR4kVVVVGjdunCZMmKBly5apqqpKknTx4kXV1NQ45N7QoUM1ZcoUcg/d5k5+VVRU6Pbt2w59zGazHn/8cXIQXVJeXq7w8HBZLBatWLFC169ft+8j39AdjY2Nam1tlb+/vyTGOPSue/OtDWMcvKXdWdAlKTs7W1VVVXrjjTc0bdo0XbhwQbm5uVq1alWfLMLr6urU0tLitCRZUFCQ0/JlQGfFxcXp448/VkREhGpra5Wbm6tZs2bJarWqpqZGkvNyeEFBQaqurvZGuHiAuJNf165dk8FgUEBAgFMfxj901syZMzVv3jyFhYXp0qVLys7OVnJysr777jsNHjyYfEO3rFmzRtHR0Zo0aZIkxjj0rnvzTWKMg3d1WIB/++23Sk1NVXZ2tr0tODhYr7zyiq5cuaJRo0b1eoBd4Wr2dlcztwOd8fTTTztsx8XFKSYmRvv379fEiRMlkXvoXV3JL3IQXbFgwQL7z1FRUYqJiVF0dLSOHz/e7lKhEvmG+3v33XdltVp17Ngxp+doGePQ09rLN8Y4eNN9b0GPj493aJs8ebJsNpsuX77cq4F1RUBAgAwGg9M7U7W1tU7vqgLd5evrq8jISF24cEEmk0mSyD30CnfyKzg4WC0tLaqrq2u3D9BVI0aM0MiRI3XhwgVJ5Bu6Zu3atfr0009VUlKiMWPG2NsZ49Ab2ss3Vxjj4EkdFuAtLS0aMmSIQ1vbdlNTU+9F1UWDBg1STEyMSktLHdpLS0ud3kgAuqupqUnnzp2TyWRSWFiYTCaTQ+41NTWpvLyc3EO3uZNfMTExGjhwoEOfK1eu6JdffiEH0W11dXWqrq62F0rkGzpr9erVOnTokEpKShyW8JQY49DzOso3Vxjj4Ekd3oIu3Z106vTp0/btP/74Q5J07tw5+fr6OvW3WCw9GF7nLV++XOnp6bJYLIqPj9eePXt09epVZqFGt61fv15z5syR2Wy2PwP+999/KzU1VT4+PsrIyFB+fr4iIiIUHh6uvLw8DRs2TAsXLvR26OgHGhsb7e+8t7a26vLlyzp79qyMRqNCQ0Pvm19+fn5aunSp3nvvPQUFBdmXTImKitL06dO9eGXoizrKN6PRqC1btig5OVkmk0mXLl3Spk2bFBQUpGeffVYS+YbOyczM1IEDB1RUVCR/f3/7M9/Dhg2Tr6+vW39DyTm463751tjYyBgHr+pwGTKj0ejyOQdXzz+0td24caPno+ykXbt2afv27aqpqdG4ceO0efNmJSQkeDss9HPLli3TiRMnVFdXp8DAQMXFxWndunWKjIyUdPd3YMuWLdq7d6/q6+tlsViUl5en8ePHezly9Ac//PCD5s2b59SempqqnTt3upVfTU1N2rBhgw4dOqSmpiZNmzZN+fn5MpvNnrwU9AMd5du2bdu0ZMkSnT17Vg0NDTKZTJo6darWrVvnkEvkG9x17+zTbVavXq21a9dKcu9vKDkHd9wv327evMkYB6/qsADfv39/p19w8eLF3QoIAAAAAIAHUYcFOAAAAAAA6BkdTsIGAAAAAAB6BgU4AAAAAAAeQAEOAAAAAIAHUIADAAAAAOABFOAAAAAAAHgABTgAAP8iOTk57a6TCwAAetdD3g4AAAB0j7sFdWFhYe8GAgAAOsQ64AAA9HMHDhxw2N67d69++uknFRQUOLTHx8fLbDbrzp07GjJkiCdDBAAAogAHAOCBk5GRoeLiYtXU1Hg7FAAA8H94BhwAgH8RV8+AR0dHa8GCBSovL1dSUpJCQkI0efJklZaWSpK+/vprTZs2TSaTSVOmTNHJkyedXvfq1at66623FBkZqeDgYMXGxmr79u2y2XifHwCANhTgAABAFy9eVFpamhITE5WVlaW//vpLqampKi4u1ooVK5ScnKz169fr2rVrWrp0qZqbm+3HXr9+XTNnztTx48f10ksv6cMPP1RcXJyysrK0du1aL14VAAB9C5OwAQAAnT9/XkeOHFFCQoIkacKECZo7d67S09N14sQJRURESJLMZrPS0tJ07NgxzZ8/X5KUnZ2t5uZmlZWVKTg4WJKUlpamkJAQFRQUKCMjQ2FhYd65MAAA+hA+AQcAAAoPD7cX35IUFxcnSZo0aZK9+JYki8UiSaqqqpIk2Ww2ffHFF5o9e7YMBoPq6ursX0lJSWptbVVZWZnnLgQAgD6MT8ABAIDMZrPD9uDBgzV48GCNGjXKoX348OGSpPr6eklSbW2t6uvrVVRUpKKiIpevXVtb2/MBAwDQD1GAAwAAGQyGTrW3Ta7W2toqSVq4cKFefPFFl33Hjh3bAxECAND/UYADAIAuCwwM1PDhw3Xnzh1Nnz7d2+EAANCn8Qw4AADoMoPBoOTkZB0+fFgVFRVO+xsaGnT79m3PBwYAQB/EJ+AAAKBbNm7cqLKyMs2ZM0dLly7V+PHj9eeff6qyslJffvmlzpw5I5PJ5O0wAQDwOgpwAADQLYGBgfrmm2+Um5urI0eOaO/evfLz81N4eLjWrFkjo9Ho7RABAOgTfOrr623eDgIAAAAAgAcdz4ADAAAAAOABFOAAAAAAAHgABTgAAAAAAB5AAQ4AAAAAgAdQgAMAAAAA4AEU4AAAAAAAeAAFOAAAAAAAHkABDgAAAACAB1CAAwAAAADgARTgAAAAAAB4wH8B2kWl3GG0reoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x504 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "company1 = 'Wom / Loyalty'\n",
    "company2 = 'Falabella / Loyalty'\n",
    "\n",
    "product='Apple iPhone 14 Plus 128GB '\n",
    "data_serie=create_dataserie(df_company1, df_company2, company1, company2, product)\n",
    "s1 = data_serie[company1].astype(float)\n",
    "s2 = data_serie[company2].astype(float)\n",
    "s1_centred=s1-s1.mean()\n",
    "s2_centred=s2-s2.mean()\n",
    "al1,al2=inst_phase_synchrony(s1,s2,\"Exemplos/Exemplo-processed data 2 companys for 1 product/plot_IPS__Wom_Falabella\"+product+\".png\")\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5776ee5f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "535bafa6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calcular_percentage_lag(phase_differences):\n",
    "    total_points = len(phase_differences)\n",
    "    lag_positive = 0\n",
    "    lag_negative = 0\n",
    "    lag_zero = 0\n",
    "    \n",
    "    for difference in phase_differences:\n",
    "        if difference > 0:\n",
    "            lag_positive += 1\n",
    "        elif difference < 0:\n",
    "            lag_negative += 1\n",
    "        else:\n",
    "            lag_zero += 1\n",
    "\n",
    "    percentage_lag_positive = (lag_positive / total_points) * 100\n",
    "    percentage_lag_negative = (lag_negative / total_points) * 100\n",
    "    percentage_lag_zero = (lag_zero / total_points) * 100\n",
    "    total=percentage_lag_positive+percentage_lag_negative+ percentage_lag_zero\n",
    "    \n",
    "    return percentage_lag_positive, percentage_lag_zero, percentage_lag_negative, total\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "d20b1d80",
   "metadata": {},
   "outputs": [],
   "source": [
    "phase_differences = al1 - al2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1364ec63",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7ec4ba6a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d4289436",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "cc5829f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Percentage of positive lag: 49.664429530201346\n",
      "Percentage of negative lag: 50.33557046979866\n",
      "Percentage of zero lag: 0.0\n"
     ]
    }
   ],
   "source": [
    "percentage_lag_positive, percentage_lag_zero, percentage_lag_negative, total = calcular_percentage_lag(phase_differences)\n",
    "\n",
    "print(\"Percentage of positive lag:\", percentage_lag_positive)\n",
    "print(\"Percentage of negative lag:\", percentage_lag_negative)\n",
    "print(\"Percentage of zero lag:\", percentage_lag_zero)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "e0346501",
   "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>Lag pos</th>\n",
       "      <th>Lag zero</th>\n",
       "      <th>Lag neg</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Apple iPhone 14 Plus 128GB</th>\n",
       "      <td>49.66443</td>\n",
       "      <td>0.0</td>\n",
       "      <td>50.33557</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                              Lag pos  Lag zero   Lag neg\n",
       "Apple iPhone 14 Plus 128GB   49.66443       0.0  50.33557"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = {\n",
    "    \"Lag pos\": [percentage_lag_positive],\n",
    "    \"Lag zero\": [percentage_lag_zero],\n",
    "    \"Lag neg\": [percentage_lag_negative]\n",
    "    \n",
    "}\n",
    "\n",
    "\n",
    "df = pd.DataFrame(data, index=[product])\n",
    "\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "06f0ee2f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "\n",
    "heatmap_pos = sns.heatmap(df, cmap='Purples', annot=True, fmt=\".2f\", cbar_kws={'label': 'Percent %'})\n",
    "plt.title('Percent of Values for different lags')\n",
    "plt.xlabel('Percent of values in lag ')\n",
    "plt.ylabel('Product')\n",
    "\n",
    "plt.savefig(\"Exemplos/Exemplo-processed data 2 companys for 1 product/heatmap_ips_Wom_Falabella\"+product+\".png\", bbox_inches='tight')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2aeaab55",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7a41ed0a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}