final_project.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "29199b89-255b-4a1f-86f1-b0fe5b47ff45",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "from IPython.core.interactiveshell import InteractiveShell\n",
    "InteractiveShell.ast_node_interactivity = \"all\"\n",
    "import sys\n",
    "from pyspark.sql import SparkSession\n",
    "from pyspark.ml.feature import StringIndexer, VectorIndexer, VectorAssembler, IndexToString\n",
    "from pyspark.ml.regression import GBTRegressor\n",
    "from pyspark.ml.classification import RandomForestClassifier\n",
    "from pyspark.ml.evaluation import RegressionEvaluator\n",
    "from pyspark.ml import Pipeline\n",
    "import time\n",
    "from pyspark.sql.functions import col, count, when\n",
    "import matplotlib.pyplot as plt\n",
    "import pyspark.sql.functions as F\n",
    "from pyspark.sql.functions import udf\n",
    "from pyspark.sql.types import FloatType"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5ce334f4-9439-4158-9fa0-0117829ef2ab",
   "metadata": {},
   "outputs": [],
   "source": [
    " spark = SparkSession.builder \\\n",
    " .master(\"local\") \\\n",
    " .appName(\"Exercise1\") \\\n",
    "    .getOrCreate()\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "9c73d297-2425-49f0-ad6e-7b8ba5824016",
   "metadata": {},
   "outputs": [],
   "source": [
    "# pwd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "96892daf-4cd4-4b03-a70d-f22a904a1333",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = spark.read.csv(\"/home/jovyan/e_shop_clothing_2008.csv\", header=True, inferSchema=True, sep=';')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "bd88fafe-8d49-4ffc-b0d9-b80ffcf47b53",
   "metadata": {},
   "outputs": [],
   "source": [
    "# df.show(1, vertical=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "e9db2012-f89e-491f-a734-3a2147f8c48c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root\n",
      " |-- month: integer (nullable = true)\n",
      " |-- day: integer (nullable = true)\n",
      " |-- order: integer (nullable = true)\n",
      " |-- country: integer (nullable = true)\n",
      " |-- session_id: integer (nullable = true)\n",
      " |-- page_1: integer (nullable = true)\n",
      " |-- colour: integer (nullable = true)\n",
      " |-- location: integer (nullable = true)\n",
      " |-- model_photography: integer (nullable = true)\n",
      " |-- price: integer (nullable = true)\n",
      " |-- price_2: integer (nullable = true)\n",
      " |-- page: integer (nullable = true)\n",
      " |-- label: float (nullable = true)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "df.printSchema()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "36a216d9-73fa-4a12-ab73-c08f1e50b968",
   "metadata": {},
   "outputs": [],
   "source": [
    "# df.describe().show(vertical=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a7917b85-6516-4bfb-8fbd-5937d7aa89b2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# df.distinct().count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e0b629e4-aeaa-434c-a45a-3251ae418aa5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# df.count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a132f418-4b7a-4c80-8eb5-8c91ace60256",
   "metadata": {},
   "outputs": [],
   "source": [
    "# missing_val = df.select([count(when(col(c).isNull(),c)).alias(c) for c in df.columns])\n",
    "# missing_val.show()\n",
    "# print(type(missing_val))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "66abe6fe-d2c9-4a47-ba81-9e74ff6c0fb5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# missing_val = df.select([count(when(col(c).isNull(),c)).alias(c) for c in df.columns]).toPandas()\n",
    "# print(missing_val)\n",
    "# print(type(missing_val))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b6eebed4-fd88-468b-8fe7-600520ff02c6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# country_counts = df.groupBy(\"country\").count().orderBy(\"count\", ascending=False).toPandas()\n",
    "# plt.figure(figsize=(10, 6)) \n",
    "# plt.bar(country_counts[\"country\"], country_counts[\"count\"])\n",
    "# plt.xlabel(\"Country\")\n",
    "# plt.ylabel(\"Number of Orders\")\n",
    "# plt.title(\"Distribution of Orders by Country\")\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7f8c7d0d-ff47-4867-9c8c-1978623295bf",
   "metadata": {},
   "outputs": [],
   "source": [
    "# color_counts = df.groupBy(\"colour\").count().orderBy(\"count\", ascending=True).toPandas()\n",
    "# plt.figure(figsize=(10, 6)) \n",
    "# plt.bar(color_counts[\"colour\"], color_counts[\"count\"])\n",
    "# plt.xlabel(\"Colours\")\n",
    "# plt.ylabel(\"Number of Orders\")\n",
    "# plt.title(\"Distribution of Orders by Colour\")\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6e051271-9b00-48e8-9764-d6a181e4e2aa",
   "metadata": {},
   "outputs": [],
   "source": [
    "# price_counts = df.groupBy(\"price\").count().orderBy(\"count\", ascending=True).toPandas()\n",
    "# plt.figure(figsize=(10, 6)) \n",
    "# plt.bar(price_counts[\"price\"], price_counts[\"count\"])\n",
    "# plt.xlabel(\"US Price\")\n",
    "# plt.ylabel(\"Number of Orders\")\n",
    "# plt.title(\"Distribution of Orders by US Price\")\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "a2646ef5-3c72-4669-9651-08795a8214e2",
   "metadata": {},
   "outputs": [],
   "source": [
    "### INDEXING EXAMPLE ###"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "dda2b603-4b24-4cac-a256-5bddd920bada",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Indexing is for when we have categorical data. Here, most of the \n",
    "#data is already represented as integer.\n",
    "#We can skip indexing unless we want to use Page 2 in our analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "dcff1f9e-ae46-412c-8bbc-9b3698853fe3",
   "metadata": {},
   "outputs": [],
   "source": [
    "### PREDICTING PRICE FROM COUNTRY AND COLOUR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "fcbaa12f-43c7-4abb-b920-8439cf267979",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'1': {(18, 34): 20.095693779904305, (34, 50): 46.286840094889634, (50, 66): 25.8674761770737, (66, 82): 3.884041654939488}, '2': {(18, 34): 1.1481982920224953, (34, 50): 34.633409706311184, (50, 66): 54.2959800041658, (66, 82): 9.92241199750052}, '3': {(18, 34): 39.850169790289556, (34, 50): 45.61007854421028, (50, 66): 14.06278352386137, (66, 82): 0.47696814163880036}, '4': {(18, 34): 45.809998193408525, (34, 50): 53.14217874932253, (50, 66): 1.0478230572689498, (66, 82): 0.0}}\n"
     ]
    }
   ],
   "source": [
    "#18-82\n",
    "price_ranges = [(18, 34), (34, 50), (50, 66), (66, 82)]\n",
    "\n",
    "main_categories = ['1', '2', '3', '4']\n",
    "\n",
    "results = {}\n",
    "\n",
    "for category in main_categories:\n",
    "    category_results = {}\n",
    "    category_data = df.filter(df['page 1 (main category)'] == category)\n",
    "    total_category_count = category_data.count()\n",
    "    for price_range in price_ranges:\n",
    "        min_price, max_price = price_range\n",
    "        # Filter data for the main category and price range\n",
    "        filtered_data = category_data.filter((df['price'] >= min_price) & (df['price'] < max_price))\n",
    "        # Calculate count and probability percentage for the price range\n",
    "        range_count = filtered_data.count()\n",
    "        probability_percentage = (range_count / total_category_count) * 100 if total_category_count != 0 else 0\n",
    "        # Store probability percentage in dictionary\n",
    "        category_results[price_range] = probability_percentage\n",
    "    # Store category results in main dictionary\n",
    "    results[category] = category_results\n",
    "\n",
    "    \n",
    "result = {}\n",
    "for category, category_results in results.items():\n",
    "    result[category] = {}\n",
    "    for price_range, probability_percentage in category_results.items():\n",
    "        result[category][price_range] = probability_percentage\n",
    "\n",
    "print(result)\n",
    "\n",
    "# # Print results (optional)\n",
    "# for category, category_results in results.items():\n",
    "#     print(f\"\\nMain Category: {category}\")\n",
    "#     for price_range, probability_percentage in category_results.items():\n",
    "#         #here I want to save the results as key value\n",
    "#         key = price_range\n",
    "#         saved_results[key] = probability_percentage\n",
    "#         print(f\"Price Range {price_range}: Probability Percentage: {probability_percentage:.2f}%\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5ec5e435-ff59-41da-930f-c32b54f01c57",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 4 artists>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 4 artists>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 4 artists>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 4 artists>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Price Range')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Probability Percentage')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Probability Percentage by Price Range and Main Category')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.axis.XTick at 0x7fcbcfe8d1f0>,\n",
       " <matplotlib.axis.XTick at 0x7fcbcfe8dfa0>,\n",
       " <matplotlib.axis.XTick at 0x7fcbcfe96ee0>,\n",
       " <matplotlib.axis.XTick at 0x7fcbdd564880>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "[Text(0.4, 0, '18-34'),\n",
       " Text(1.4, 0, '34-50'),\n",
       " Text(2.4, 0, '50-66'),\n",
       " Text(3.4, 0, '66-82')]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fcbdd5c3130>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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       "(array([0.4, 1.4, 2.4, 3.4]),\n",
       " [Text(0.4, 0, '18-34'),\n",
       "  Text(1.4, 0, '34-50'),\n",
       "  Text(2.4, 0, '50-66'),\n",
       "  Text(3.4, 0, '66-82')])"
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     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
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    {
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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 423,
       "width": 712
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Defining price ranges\n",
    "price_ranges = [(18, 34), (34, 50), (50, 66), (66, 82)]\n",
    "\n",
    "main_categories = ['1', '2', '3', '4']\n",
    "\n",
    "color_map = ['blue', 'orange', 'green', 'red']\n",
    "\n",
    "results = {category: {} for category in main_categories}\n",
    "\n",
    "for category in main_categories:\n",
    "    category_data = df.filter(df['page 1 (main category)'] == category)\n",
    "    total_category_count = category_data.count()\n",
    "    for price_range in price_ranges:\n",
    "        min_price, max_price = price_range\n",
    "        # Filter data for the main category and price range\n",
    "        filtered_data = category_data.filter((df['price'] >= min_price) & (df['price'] < max_price))\n",
    "        # Calculate count and probability percentage for the price range\n",
    "        range_count = filtered_data.count()\n",
    "        probability_percentage = (range_count / total_category_count) * 100 if total_category_count != 0 else 0\n",
    "        results[category][price_range] = probability_percentage\n",
    "\n",
    "price_range_labels = [f\"{range[0]}-{range[1]}\" for range in price_ranges]\n",
    "category_labels = main_categories\n",
    "data = np.array([[results[category][price_range] for price_range in price_ranges] for category in main_categories])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "bar_width = 0.2\n",
    "index = np.arange(len(price_range_labels))\n",
    "\n",
    "categories = [\"trousers\",\"skirts\",\"blouses\",\"sale\"]\n",
    "\n",
    "for i, category in enumerate(category_labels):\n",
    "    ax.bar(index + i * bar_width, data[i], bar_width, label=categories[i], color=color_map[i])\n",
    "\n",
    "\n",
    "\n",
    "ax.set_xlabel('Price Range')\n",
    "ax.set_ylabel('Probability Percentage')\n",
    "ax.set_title('Probability Percentage by Price Range and Main Category')\n",
    "ax.set_xticks(index + bar_width * len(category_labels) / 2)\n",
    "ax.set_xticklabels(price_range_labels)\n",
    "ax.legend()\n",
    "plt.xticks(rotation=45)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "9c7dcc3f-e73a-4850-96a1-cda56d3009e4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+----+-----+---+-----+-------+----------+----------------------+-----------------------+------+--------+-----------------+-----+-------+----+----------------------+\n",
      "|year|month|day|order|country|session ID|page 1 (main category)|page 2 (clothing model)|colour|location|model photography|price|price 2|page|probability_percentage|\n",
      "+----+-----+---+-----+-------+----------+----------------------+-----------------------+------+--------+-----------------+-----+-------+----+----------------------+\n",
      "|2008|    4|  1|    1|     29|         1|                     1|                    A13|     1|       5|                1|   28|      2|   1|             20.095694|\n",
      "|2008|    4|  1|    2|     29|         1|                     1|                    A16|     1|       6|                1|   33|      2|   1|             20.095694|\n",
      "|2008|    4|  1|    3|     29|         1|                     2|                     B4|    10|       2|                1|   52|      1|   1|              54.29598|\n",
      "|2008|    4|  1|    4|     29|         1|                     2|                    B17|     6|       6|                2|   38|      2|   1|              34.63341|\n",
      "|2008|    4|  1|    5|     29|         1|                     2|                     B8|     4|       3|                2|   52|      1|   1|              54.29598|\n",
      "|2008|    4|  1|    6|     29|         1|                     3|                    C56|     6|       1|                2|   57|      1|   4|             14.062783|\n",
      "|2008|    4|  1|    7|     29|         1|                     3|                    C57|     5|       1|                2|   33|      2|   4|              39.85017|\n",
      "|2008|    4|  1|    8|     29|         1|                     4|                    P67|     9|       5|                1|   38|      1|   4|             53.142178|\n",
      "|2008|    4|  1|    9|     29|         1|                     4|                    P82|     6|       4|                2|   48|      1|   5|             53.142178|\n",
      "|2008|    4|  1|    1|     29|         2|                     2|                    B31|     9|       5|                1|   57|      1|   2|              54.29598|\n",
      "|2008|    4|  1|    2|     29|         2|                     2|                    B21|    12|       1|                1|   67|      1|   2|              9.922412|\n",
      "|2008|    4|  1|    3|     29|         2|                     2|                    B24|    11|       2|                1|   57|      1|   2|              54.29598|\n",
      "|2008|    4|  1|    4|     29|         2|                     2|                    B27|     2|       3|                1|   57|      1|   2|              54.29598|\n",
      "|2008|    4|  1|    5|     29|         2|                     1|                    A10|     3|       4|                1|   38|      2|   1|              46.28684|\n",
      "|2008|    4|  1|    6|     29|         2|                     1|                    A10|     3|       4|                1|   38|      2|   1|              46.28684|\n",
      "|2008|    4|  1|    7|     29|         2|                     2|                    B27|     2|       3|                1|   57|      1|   2|              54.29598|\n",
      "|2008|    4|  1|    8|     29|         2|                     4|                     P1|     3|       1|                1|   38|      1|   1|             53.142178|\n",
      "|2008|    4|  1|    9|     29|         2|                     4|                    P34|     9|       6|                2|   48|      1|   2|             53.142178|\n",
      "|2008|    4|  1|   10|     29|         2|                     4|                    P33|     9|       5|                1|   43|      1|   2|             53.142178|\n",
      "|2008|    4|  1|    1|     21|         3|                     2|                    B17|     6|       6|                2|   38|      2|   1|              34.63341|\n",
      "+----+-----+---+-----+-------+----------+----------------------+-----------------------+------+--------+-----------------+-----+-------+----+----------------------+\n",
      "only showing top 20 rows\n",
      "\n"
     ]
    }
   ],
   "source": [
    "def get_probability_percentage(category, price):\n",
    "    category_result = result.get(str(category))\n",
    "    if category_result:\n",
    "        for price_range, probability_percentage in category_result.items():\n",
    "            if price_range[0] <= price < price_range[1]:\n",
    "                return probability_percentage\n",
    "    return 0.0\n",
    "\n",
    "probability_percentage_udf = udf(get_probability_percentage, FloatType())\n",
    "\n",
    "df = df.withColumn(\"probability_percentage\", probability_percentage_udf(df['page 1 (main category)'], df['price']))\n",
    "\n",
    "df.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "7cf4522a-7072-4d53-baeb-92f0204eb772",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.selectExpr(\"cast(month as integer) month\",\n",
    "                          \"cast(day as integer) day\",\n",
    "                          \"cast(order as integer) order\",\n",
    "                          \"cast(country as integer) country\",\n",
    "                          \"cast(`session ID` as integer) session_id\",\n",
    "                          \"cast(`page 1 (main category)` as integer) page_1\",\n",
    "                          \"cast(colour as integer) colour\",\n",
    "                          \"cast(location as integer) location\",\n",
    "                          \"cast(`model photography` as integer) model_photography\",\n",
    "                          \"cast(price as integer) price\",\n",
    "                          \"cast(`price 2` as integer) price_2\",\n",
    "                          \"cast(page as integer) page\",\n",
    "                          \"cast(probability_percentage as float) label\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "f795c103-0b73-42aa-aed9-3d9d66aba95e",
   "metadata": {},
   "outputs": [],
   "source": [
    "vectorAssembler = VectorAssembler(inputCols = ['month', 'day', 'country', 'order', 'session_id', 'page_1', 'colour', 'location', 'model_photography', 'price', 'price_2',\n",
    "                                              'page'], outputCol=\"features\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "b162f8c7-9238-4e7e-b7b5-8eb114f3bbe1",
   "metadata": {},
   "outputs": [],
   "source": [
    "vectorized_df = vectorAssembler.transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "7f7ea17f-783a-41b5-b242-2d8c49293ffe",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+-----+---+-----+-------+----------+------+------+--------+-----------------+-----+-------+----+---------+--------------------+\n",
      "|month|day|order|country|session_id|page_1|colour|location|model_photography|price|price_2|page|    label|            features|\n",
      "+-----+---+-----+-------+----------+------+------+--------+-----------------+-----+-------+----+---------+--------------------+\n",
      "|    4|  1|    1|     29|         1|     1|     1|       5|                1|   28|      2|   1|20.095694|[4.0,1.0,29.0,1.0...|\n",
      "|    4|  1|    2|     29|         1|     1|     1|       6|                1|   33|      2|   1|20.095694|[4.0,1.0,29.0,2.0...|\n",
      "|    4|  1|    3|     29|         1|     2|    10|       2|                1|   52|      1|   1| 54.29598|[4.0,1.0,29.0,3.0...|\n",
      "|    4|  1|    4|     29|         1|     2|     6|       6|                2|   38|      2|   1| 34.63341|[4.0,1.0,29.0,4.0...|\n",
      "|    4|  1|    5|     29|         1|     2|     4|       3|                2|   52|      1|   1| 54.29598|[4.0,1.0,29.0,5.0...|\n",
      "|    4|  1|    6|     29|         1|     3|     6|       1|                2|   57|      1|   4|14.062783|[4.0,1.0,29.0,6.0...|\n",
      "|    4|  1|    7|     29|         1|     3|     5|       1|                2|   33|      2|   4| 39.85017|[4.0,1.0,29.0,7.0...|\n",
      "|    4|  1|    8|     29|         1|     4|     9|       5|                1|   38|      1|   4|53.142178|[4.0,1.0,29.0,8.0...|\n",
      "|    4|  1|    9|     29|         1|     4|     6|       4|                2|   48|      1|   5|53.142178|[4.0,1.0,29.0,9.0...|\n",
      "|    4|  1|    1|     29|         2|     2|     9|       5|                1|   57|      1|   2| 54.29598|[4.0,1.0,29.0,1.0...|\n",
      "|    4|  1|    2|     29|         2|     2|    12|       1|                1|   67|      1|   2| 9.922412|[4.0,1.0,29.0,2.0...|\n",
      "|    4|  1|    3|     29|         2|     2|    11|       2|                1|   57|      1|   2| 54.29598|[4.0,1.0,29.0,3.0...|\n",
      "|    4|  1|    4|     29|         2|     2|     2|       3|                1|   57|      1|   2| 54.29598|[4.0,1.0,29.0,4.0...|\n",
      "|    4|  1|    5|     29|         2|     1|     3|       4|                1|   38|      2|   1| 46.28684|[4.0,1.0,29.0,5.0...|\n",
      "|    4|  1|    6|     29|         2|     1|     3|       4|                1|   38|      2|   1| 46.28684|[4.0,1.0,29.0,6.0...|\n",
      "|    4|  1|    7|     29|         2|     2|     2|       3|                1|   57|      1|   2| 54.29598|[4.0,1.0,29.0,7.0...|\n",
      "|    4|  1|    8|     29|         2|     4|     3|       1|                1|   38|      1|   1|53.142178|[4.0,1.0,29.0,8.0...|\n",
      "|    4|  1|    9|     29|         2|     4|     9|       6|                2|   48|      1|   2|53.142178|[4.0,1.0,29.0,9.0...|\n",
      "|    4|  1|   10|     29|         2|     4|     9|       5|                1|   43|      1|   2|53.142178|[4.0,1.0,29.0,10....|\n",
      "|    4|  1|    1|     21|         3|     2|     6|       6|                2|   38|      2|   1| 34.63341|[4.0,1.0,21.0,1.0...|\n",
      "+-----+---+-----+-------+----------+------+------+--------+-----------------+-----+-------+----+---------+--------------------+\n",
      "only showing top 20 rows\n",
      "\n"
     ]
    }
   ],
   "source": [
    "vectorized_df.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "e5579b72-1eaf-4fc8-8b1d-e365b868fd66",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = vectorized_df.select(\"label\", \"features\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "d187ce67-9188-481e-a1e6-ee430312a030",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+---------+--------------------+\n",
      "|    label|            features|\n",
      "+---------+--------------------+\n",
      "|20.095694|[4.0,1.0,29.0,1.0...|\n",
      "|20.095694|[4.0,1.0,29.0,2.0...|\n",
      "| 54.29598|[4.0,1.0,29.0,3.0...|\n",
      "| 34.63341|[4.0,1.0,29.0,4.0...|\n",
      "| 54.29598|[4.0,1.0,29.0,5.0...|\n",
      "|14.062783|[4.0,1.0,29.0,6.0...|\n",
      "| 39.85017|[4.0,1.0,29.0,7.0...|\n",
      "|53.142178|[4.0,1.0,29.0,8.0...|\n",
      "|53.142178|[4.0,1.0,29.0,9.0...|\n",
      "| 54.29598|[4.0,1.0,29.0,1.0...|\n",
      "| 9.922412|[4.0,1.0,29.0,2.0...|\n",
      "| 54.29598|[4.0,1.0,29.0,3.0...|\n",
      "| 54.29598|[4.0,1.0,29.0,4.0...|\n",
      "| 46.28684|[4.0,1.0,29.0,5.0...|\n",
      "| 46.28684|[4.0,1.0,29.0,6.0...|\n",
      "| 54.29598|[4.0,1.0,29.0,7.0...|\n",
      "|53.142178|[4.0,1.0,29.0,8.0...|\n",
      "|53.142178|[4.0,1.0,29.0,9.0...|\n",
      "|53.142178|[4.0,1.0,29.0,10....|\n",
      "| 34.63341|[4.0,1.0,21.0,1.0...|\n",
      "+---------+--------------------+\n",
      "only showing top 20 rows\n",
      "\n"
     ]
    }
   ],
   "source": [
    "dataset.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "e2eb5990-0075-4076-8472-c85c4c8db660",
   "metadata": {},
   "outputs": [],
   "source": [
    "### GRADIENT BOOSTED TREES ###"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "5d9198f1-db1b-49ca-b013-4c84987ff4d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "(trainData, testData) = dataset.randomSplit([0.7, 0.3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "eb3a5f66-0992-4af5-a04f-43da0f18bac3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train sample: 115723\n",
      "Test sample: 49751\n"
     ]
    }
   ],
   "source": [
    "print(\"Train sample: {}\".format(trainData.count()))\n",
    "print(\"Test sample: {}\".format(testData.count()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9adff5c8-4eb7-47d5-abdf-f8d39b04a53e",
   "metadata": {},
   "outputs": [],
   "source": [
    "gbt = GBTRegressor(featuresCol=\"features\", maxIter=30, maxDepth = 11)\n",
    "s = time.time()\n",
    "model_direct = gbt.fit(trainData)\n",
    "print(time.time() - s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2c3733f0-6cda-4536-b1e3-3938439cc097",
   "metadata": {},
   "outputs": [],
   "source": [
    "pred_direct = model_direct.transform(testData)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "45618fb8-8450-44f3-b5e5-ef15ceb157c0",
   "metadata": {},
   "outputs": [],
   "source": [
    "pred_direct.show(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "40c09c68-0a1d-43b4-b092-fbe4a3413bf6",
   "metadata": {},
   "outputs": [],
   "source": [
    "rmse = RegressionEvaluator(labelCol=\"label\", predictionCol=\"prediction\", metricName=\"rmse\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "64d0b8e8-c0d9-4b8d-8444-e5ab4d97c840",
   "metadata": {},
   "outputs": [],
   "source": [
    "rmse_result = rmse.evaluate(pred_direct)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4aba970c-6bca-4c4a-ac6f-e38c3a189541",
   "metadata": {},
   "outputs": [],
   "source": [
    "rmse_result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "355ea047-e2cf-4b82-91ac-f1c7fb1321a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "rsquare = RegressionEvaluator(labelCol=\"label\", predictionCol=\"prediction\", metricName=\"r2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ce750377-e8c0-4dce-9292-1232cc43f5dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "rsquare_result = rsquare.evaluate(pred_direct)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4b6ec3ff-b0e5-459d-bdc4-19f8565b001b",
   "metadata": {},
   "outputs": [],
   "source": [
    "rsquare_result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "966178c1-3ab1-494b-a6c9-06778448fb25",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_pandas = pred_direct.toPandas()\n",
    "\n",
    "# Extract labels and predicted values from Pandas DataFrame\n",
    "labels = df_pandas['label'].tolist()\n",
    "predicted_values = df_pandas['prediction'].tolist()\n",
    "\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(labels, predicted_values, color='blue')\n",
    "plt.plot(labels, labels, color='red', linestyle='--')  # Plot y = x line for reference\n",
    "plt.title('Actual vs Predicted Values')\n",
    "plt.xlabel('Actual Values')\n",
    "plt.ylabel('Predicted Values')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "# Plotting features\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.bar(range(len(features[0])), features[0])\n",
    "plt.title('Features')\n",
    "plt.xlabel('Feature Index')\n",
    "plt.ylabel('Feature Value')\n",
    "plt.xticks(range(len(features[0])), ['month', 'day', 'country', 'order', 'session_id', 'page_1', 'colour', 'location', \n",
    "                                     'model_photography', 'price', 'price_2',\n",
    "                                     'page'])\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "dd8e324f-b769-4c70-85b0-656ef460844f",
   "metadata": {},
   "outputs": [],
   "source": [
    "#---------------------------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "53bbb045-ce6b-4e6a-a737-e87a073a1656",
   "metadata": {},
   "outputs": [],
   "source": [
    "# from pyspark.sql.functions import avg\n",
    "# avg_prices_month = df.groupBy(\"month\").agg(avg(\"price\").alias(\"avg_price\")).orderBy(\"month\")\n",
    "# avg_prices_day = df.groupBy(\"month\", \"day\").agg(avg(\"price\").alias(\"avg_price\")).orderBy(\"month\", \"day\")\n",
    "\n",
    "# # Convert DataFrame to Pandas for visualization\n",
    "# avg_prices_month_pd = avg_prices_month.toPandas()\n",
    "# avg_prices_day_pd = avg_prices_day.toPandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "dd7e98ae-853e-4b62-93e3-a7d9967cf80f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 720x432 with 0 Axes>"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fcbbc50bfa0>]"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Average Price of Clothing Items Over Months')"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Month')"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Average Price (US Dollars)')"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pKr+sjqQBj6OmGpObp9tOMuLijVrqno8xljW2L3ZMGv5YjLGogftUPg/5JJOv19WuV+q+rnNcTQghnx1fEh+rp+mjJAnRiQ05bhtRGeuuHtdZNP9xPVdH+fLUfb8mHHN9bYnmXRy3oe+1C5sQT3Nl6nPqtTrKV6fuF8daVniNMVaEENaSfG6lP29zSBK3w4BnQwi/JrkseVFdAe5CUxcqqWu/f5IkVvoDH0xtV/oYyXt+FcmIu3SVnxlXhRA+v4u+e5Ak7FbXKG/qZ1ytYoxvhxCeI7ns/AMk/wA6L1V9Z5077pCJ9/TztfxOrtSc92u6XX0eQDK6bmvq54dJEr4TgVkhhJtIRqm+38w4JKlNMHEmSdpJalWvukYBEGNcEkJ4kmRek6kkk2tX+hvJH9NDSCZTnpk65kCSS29qO2b6Kl1DGhBiXaMq1tRRTiqGr5DM21b5Ba+cZNRUSWq7D8m8YzWTaQNT9yvqOXxdXxAqH1t3dnyhrk9TR4ykj7QrTsXzNMnlUQvq2Kfe56seledoSSP2qXwecmneOa6pPztWCV9eT7tlqftBDTxuQ6SPyKh1JcVmqoy1IY9rQAgh1POFelcK6ygvTt035W/Guo6ZftwuNcqb815raZn6nKrrsZXvoj69TdXzFmPcEEI4l2Qk8AHA7wFSifqHgFtjjI83IN5K6a/rmqPH6lPZttrosBhjcQjhryT/jDmL6omzypHJ99X4JwvseL77pG67Utvz3dTPuPrcSZI4OzeEsIhkjsw17BgtW59MvKeb8r5qrFr7SJ3Lys301+CCVHLzVyQJxQ9A1Yqe/yEZwfZSM2OSpKxxKK0kqTafJkkgAbxay/L1kSRpBjtfrrkV+Htqc2pa1adIvny/E2N8sUZ/lb+PNsQYQwNuU+qIu+YXryohhH1JVoEMJH/c70syp1P/GOPQGONQdlwi09QRF7WpfGzXN/Cx3d6UTiofQ+o2OsZ4ZIzxq/UkzaCe52sXmvL8VD4PLzXwebigCX10bcI+zfFW2s8HtmA/rf24simT771My9TnVMbFGP9NMv/bZ4H7SJKLQ0lGQ1WOAGqoxSTzyEHjXtcHpO7frKWu8p8lp1VeThpC6At8qEZ9usrn+7QGPt+LazlGUz/j6nMvyRxlnwIuScV5byNHtnW493SM8VaSRQquJPkH2jqS1+TngBdCCN/MWnCS1EwmziRJtTl/102qHBxC2L9GWeWXoNNDCJVfEM6qUZeucrRUvxDC0Eb03RifIPm9998Y45dijG/WMsKhrlEklXP3DKujvr66yse2T8PCbBcqLzndvRH7VD4P40MImRzxvp5kIvldxTMidZ+xESgxxuXA/NTmxzJ13DSVsTbkca1rxmiztqTyMTflvdbSWuNzqslijJtijNNjjJ+OMQ4n+efA9FT1JSGEUxt4nFJ2zPd4Wn1tK4UQRrJjfsbaRrc9QvL89WTHe+UMkgTSwpjM81hTm/zsTM399SDJKLivp4rvauDuHfo9HWNcFWO8Icb4cZLRdYeRrIwagO+HEA6ob39JaqtMnEmSqgkhjGPH3DIHkcyVUtftH6l2NRNt/yX5b3Mf4NQQwgjg6FTdvbV0+zzJBPawY3LwTKv8MlLr5SKpiY4Pr60ubZ+j66iH1KUptaicr+zYEEJjLntqyyq/5E5JTe7dEJXPQy+ShScyIjUZe+Uk27XNMVfp+NR9zdGOzVU5kueDIYRJDdkhbVLxXamMtSmPqzKZ2JZHcNWmOe+15qpMUtT1nLXG51TGpP458Fl2vF+PbcTula/rPVMLjezK10m+V5QCt9USSznJSDjYMRK58p8ptf1OgB2fGZ9oQP+trXI+sy4kq5k+38D9mvOebo5W/zyIiedIRuYtI3l91Pe+lqQ2y8SZJKmmyiTYKzHGV2KMG+u6AX9KtT07fUWz1IiFyssez0rdAvBcjLFyhA5p7QuBv6Q2vxVCqHP+oBBCXgihV1319diUuq85Oq7S/wMK6qj7a+r+EyGE0bXENIm6vwj9iWTOt27Az+oLMITQ3AmdW8ufSFbH7Ad8pyE7xBjfZscX+J/UWJGtmhBC97SRig1R+Vq7IISw02ikEMLJ7Fgp9b6a9c30O5IVUXOAP9T2+qgRS9UcVA1Q+bhOCSEcXLMydflxZVKj5uOqXOWubwP7aisq32tHhRBqrm5LCGEU8JkW6rve56yVPqcaLbVARn0qF/BozHvqfnZMEP+bEEKdo75CCGeSXI4H8Mt6JoSvHG38wRDC3uz4zKxtFDLA7an7Q0MI59XRpjKG1v7s/AfJ5/m1wNcasV9z3tPNUbXyagaPWaW+12AqaVqa2uxwl6hK6hxMnEmSqqRGwpyb2ry/Abv8g+QP4qEkq6Wlq/wy9BF2rIBX1xckSEYsVK4M90wIIf0yT0II40IIV5LMK3VoA2KraWbq/tQQwjfT5tkZFEL4GfANqk+KXfOxLCCZ3P8/lV/oQ+KDwAPsSMxVk7qs5xupzQtDCPeFECpXgSSE0C2EcHRqJbynm/C4Wl3qMX0vtfn1EMKvUgkNQgg5IYRRIYSrQwg1k2pfIlnlcz/gyRDCiZWXbab22zeE8C3gXRp3Od6vSCZUrzw/h6aOmRtC+ATwh1S7h2OMjzb+EdctJqsffhLYCOxBMpfP10IIYyrbhBDyQwjHhhBuJRlFMqGBh/8j8Grq5wdSz1dIHfME4N8kI17eIJkYPl3lKqr7hBAmN/6RZc1jJKtmBuAvIYRT0h7z4SQTjZfUs39zVD5n56X/I6CGlv6caorPhxD+G0KYmp44DiH0Tc0rNSVV9N+GHjCV7PgMyeWSg0ge69UhhMFpx58QQriB5PMxh2Ql1DrnsUpdjvkuycqkd5MsFPJKjLG2OdGIMf6HHb+Hbg0hfK/G4+sXQjgthPA34LqGPrZMiDGWxBj/J8b4lRjjP3a9R5XmvKebYz7J7+o+qc/ETPthCOHPIYSPhxCqFkoJIQwJIfySZO6zyI7fw5LUrpg4kySlm8KOuVf+Uk87AFKjzioTETUv13wSWEoy0mpvkktF/ljPsRaTTBT9PkkC4n5gSwhhbQihmOQP/+uBcey4pKrBYowPseNL2A9Sx15P8sXwK8CtVF/tLX3fYpLLTTYCe5J8iSwkGUn2H2AL8P1U8+217H8j8O1U3J8CXgshbE31v5XkufoCDVt1s634KfCL1M9fBN4LIWwkGd3yHslIjD3Sd0hdznQ6SZLxYJIvUVtDCGtJVoN7neR5HEYjznGMcQPwcZIVUg8AngshbCY5L38mGRn3KnB2ox9lw/p/iWRE2yskq2v+GFgYQihOneNiYBZJArmIBo4kSV2G+gmS53MUyfO1JYSwFXg4VbYEOCPGuL3GvvOBJ0gW5JgdQlgXQlicutV1SXLWpeZ0OofkcQ0jSSRsTb3fniV5fr+Sar7Te62Zbk7dX0nyPL+Xer5+nhbfYlrwc6qJAsnlz/cA74cQtoQQNpC8H36Qqr8ptYBAg8UYF5K8rl8gGal0LbAqhLAphLANeAe4nCQBNgM4OfWarU9lEnti6r6+f6ZAsrjBA6k+vkPy+DaGEDaRJDAfoGXmF2wRzXlPN7Pfrey4JPbPqeew8vOgIZfi7koeyeP6K7Au9RrZTDIf5pdSbb4VY3y9rgNIUltm4kySlK4y+TUvxvhGvS13qEywnRaSVdKAqi/A6XPXPBZjXFHfgVLzoexFcunLM0AhyWVTRSTzC/0EmBRjrG3y6Yb4NMmIkbdI/vseSEZ5nR9jvHgXsb1MssLcbSRfBrqk7q8jmQC5cg6ZjXXs/3+p/W8i+XIdSCbKXkEy0fTngXYzMig1f81VJKur/hFYTpL420QyquqHJF/aa+73IMmIq/9LtSsmOcebSc75d4C9Y4zvNTKeuSSTiF8PzCM5P2Ukr5uvApNjjKsb+zgb0f/bJMnAM0hG07xL8hrrSZKcnQlcDYyJMf6mEcddQPK6+V92zOUGO5KMB8QY59Wx+xnAb4BFJHPL7Z66daujfZsQY1xCklj5JUkSIZfkfTWdZAL6ypGhGzPc720kqyTOJXntjCR5vgbWaNfSn1ONNSMV9x/Z8dnWi+Sz5e8kq1Je2pQDxxgXAZOAM0ku0V5CMmKsnOR9dhNwZIzx7BhjUZ0H2iF9FFVkRyKtrv63xhhPJxm5fD87PmfySUYBzyAZ8fmFRjysrGrme7o5Pgf8iCTh2ZUdnweZuKT4epIk6t9IXhch1cdSktflMTHGH2agH0nKitDOFmuRJKlNCiHcRTJS5nsxxmuyHI7UYYUQvg98C7gjxnhBlsORJEkdnCPOJElqphDCHuxY+c05XKQWkpo/qXJ0qO81SZLU4kycSZLUAKlJqH+YmsC+S6qsawjhNJJ53roDs2OM7WKCf6mtCiFMDiHcGEI4NITQLVWWF0I4nmTxgGHAYhowD6MkSVJzeammJEkNEEKYRjLHEiTzmW0EepNMigzJZM8nxBjfbf3opI4jhHAi1UeTbSCZKy4/tb0eOCU1r50kSVKLMnEmSVIDhBBGA9OA49kxYXgxyQTVfwduSK0yKqkZQggDgUuBk0hWrhxMMln/YpJVbK/d1UIjkiRJmWLiTJIkSZIkSaqFc5xJkiRJkiRJtTBxJkmSJEmSJNXCxJkkSZIkSZJUCxNnkiRJkiRJUi1MnEmSJEmSJEm1yMt2ANohhLAI6E2y3LokSZIkSZKabzSwOcY4prE7mjhrW3p37969/957790/24E0V2FhIQAFBQVZjkStyfPeeXnuOy/Pfeflue+8PPedl+e+c/K8d14d6dy/9dZbFBUVNWlfE2dty+K99967/wsvvJDtOJpt1qxZAEyZMiWrcah1ed47L8995+W577w8952X577z8tx3Tp73zqsjnftDDjmEF198cXFT9nWOM0mSJEmSJKkWJs4kSZIkSZKkWpg4kyRJkiRJkmph4kySJEmSJEmqhYkzSZIkSZIkqRYmziRJkiRJkqRamDiTJEmSJEmSamHiTJIkSZIkSaqFiTNJkiRJkiSpFibOJEmSJEmSpFq0+8RZCOHcEEJM3aY1oP0tae3HNaKf8SGEr4UQHg0hLA0hlIQQVoUQ/hZCOK55j0KSJEmSJEltTbtOnIUQRgI3Alsa2P6jwEUNbV/D94EfA0OAfwPXAk8DpwKPhhAub8IxJUmSJEmS1Ea128RZCCEAtwHrgN81oP0gYDrwR+CFJnT5H2BijHHfGOOlMcZvxBjPAE4ASoGfhRCGNeG4kiRJkiRJaoPabeIMuBw4HrgQ2NqA9jel7r/YlM5ijLfHGF+qpfxxYBaQDxzZlGNLkiRJkiSp7WmXibMQwt4kl03eEGN8ogHtLwA+DnwuxriuBUIqTd2XtcCxJUmSJEmSlAXtLnEWQsgD7gKWAN9sQPvdgRuAu2OMD7RAPLuTXK65DdhlEk+SJEmSJEntQ162A2iC7wAHA0fHGIvqaxhCyAHuIFkMIOOT94cQugL3AF2B/4kxbmjgfnXNsbZXYWEhs2bNylCE2VNYWAjQIR6LGs7z3nl57jsvz33n5bnvvDz3nZfnvnPyvHdeHencVz6WpmhXibMQwmEko8yujTE+24BdrgKOBU5taFKrEbHkkox8O4pkwYGfZ/L4kiRJkiRJyq52kzhLu0RzHvDtBrQfD/wAuC3G+O8Mx5IL3A18CrgPOCfGGBu6f4zxkDqO+0JBQcHEKVOmZCTObKrMSHeEx6KG87x3Xp77zstz33l57jsvz33n5bnvnDzvnVdHOvcFBQVN3rc9zXHWC5gA7A0UhxBi5Q34bqrN9FTZL4B9SS6hvDC9bar9san281NlH29oEKkE3r3AZ4AZwNQYo4sCSJIkSZIkdTDtZsQZsB24pY66iSTznj0FvAM8Cyyup/2pwFDgT8DmVNtdCiHkk4wwOw24E7gwxljRoOglSZIkSZLUrrSbxFlqIYBptdWFEK4hSZzdEWO8Oa2qrvazSBJn34wxLqhR1wcYBmyKMa5IK+8K3A98mCQh91mTZpIkSZIkqaOZt6qQmYtLKSqPLOqyiKPGDWTCkKZf7tietZvEWSs6HbiNZDXOC9LKf0eSNFsLLAe+E0Koue+sGOOslg9RkiRJkiQps55esJYbHpnP3EXrq8run/8mAIeN6c8VJ4znqHEDsxVeVpg4a7gxqfuBwHfqaTer5UORJEmSJEnKnD8+t4Rv3P8aFXUsfTh30XrOvWUOPz7jAM6cNLJ1g8uiDpE4izFeA1zTiPZT6qm7Hbi9MftIkiRJkiS1V08vWFtv0qxSRYSv3/8qw/t17zQjz9rTqpqSJEmSJEnKsBsemb/LpFmligi/fGR+ywbUhpg4kyRJkiRJ6qTmrSqsNqdZQ8xZtJ55qwpbKKK2xcSZJEmSJElSJ/X0grWtul97Y+JMkiRJkiSpk9pSXNaq+7U3Js4kSZIkSZI6qV7dmrZuZFP3a29MnEmSJEmSJHVSTV0d01U1JUmSJEmS1KFNGFLA6AE9GrXP5DH9mTCkoIUialtMnEmSJEmSJHVS9z2/lMXrtjW4fU6Ay08Y34IRtS0mziRJkiRJkjqhB15aztf+8mqD2+cE+PEZB3SayzTBxJkkSZIkSVKn869XV3D1fS8TY7K97269uemcQ5g8pn+t7SeP6c9dF0/mzEkjWzHK7OscSyBIkiRJkiQJgP++sZLL//ASFamk2V5DC7jr4sn075nPyfsNZd6qQu54cDZF5ZH99xrPUeMGdpo5zWoycSZJkiRJktRJPPr2Ki6b8SLlqazZ2EE9uXtakjSrNGFIASeN7gLAlKPGZCXOtsJLNSVJkiRJkjqBJ+at4XN3v0hpeZI0Gz2gBzMuOZyBvbpmObK2y8SZJEmSJElSB/fsu+u45M7nKSmrAGBk/+7MuORwhvTuluXI2jYTZ5IkSZIkSR3Y84vXc/Edz7E9lTQb3rc7M6Ydzm59u2c5srbPxJkkSZIkSVIH9dKSDVxw23NsKykHYEjvrsy4ZDIj+/fIcmTtg4kzSZIkSZKkDui1ZZs479a5bNleBsDAXl2Zccnh7D6gZ5Yjaz9MnEmSJEmSJHUwb76/mXNvnUNhcZI0698znxmXTGbsoF5Zjqx9MXEmSZIkSZLUgcxfVcg5t8xh47ZSAPp078LdF09mwpCCLEfW/pg4kyRJkiRJ6iAWrtnC1JvnsH5rCQAF3fK4++LJ7LNb7yxH1j6ZOJMkSZIkSeoA3lu3lanT57CmcDsAPfNzueOiw9h/RJ8sR9Z+mTiTJEmSJElq55Zt2MbU6XNYubkYgO5dcrn9osOYOKpfliNr30ycSZIkSZIktWMrNhVx1vTZLN9YBEDXvBxuOf9QJo3un+XI2j8TZ5IkSZIkSe3U6s3FTJ0+h6Xrk6RZfm4ON513KEeOG5jlyDoGE2eSJEmSJEnt0Not25l68xwWrd0KQJfcwG/PmcixEwZlObKOw8SZJEmSJElSO7Nhawnn3DyHBau3AJCbE7jxrImcsPeQLEfWsZg4kyRJkiRJakc2FZVy7q1zeHtlIQA5AW74zEF8aL+hWY6s4zFxJkmSJEmS1E4UFpdy3q1zeX35ZgBCgGvPPJCPHLBbliPrmEycSZIkSZIktQNbt5dxwW3P8crSjVVlPznjAE4/eET2gurgTJxJkiRJkiS1cUUl5Vx8x3O88N6GqrLvf3w/zpw0MotRdXwmziRJkiRJktqw4tJyPnvX88xeuL6q7Dsf2YdzD989i1F1DibOJEmSJEmS2qjtZeV8/u4XeHL+2qqyb5yyFxcdPSaLUXUeJs4kSZIkSZLaoNLyCi6b8RKPvbOmquzLJ03g0mPHZjGqzsXEmSRJkiRJUhtTVl7BlX94mZlvrqoq+9Lx4/jSCeOzGFXnY+JMkiRJkiSpDSmviHz5T6/wr9dWVJVdesweXH3ShCxG1TmZOJMkSZIkSWojKioiX/vLq/zt5feryi48ajRfP2UvQghZjKxzMnEmSZIkSZLUBsQY+dbfXufPLyyrKjt78ii+85F9TJpliYkzSZIkSZKkLIsx8r1/vMmMOUuqys48dATfP20/k2ZZZOJMkiRJkiQpi2KM/OjBt7n9mcVVZWccPJwfnXEAOTkmzbLJxJkkSZIkSVKWxBj5+UPvcNMTC6vKTj1gGD/95AHkmjTLOhNnkiRJkiRJWfLLRxbw68ferdr+4L5D+MWnDyIv15RNW+BZkCRJkiRJyoLfznqX6x+eV7V9/F6DufGsiXQxadZmeCYkSZIkSZJa2c1PLuQn/3m7avsD4wfym7Mnkp9nqqYt8WxIkiRJkiS1orueXcz//eutqu0j9hjATeceSrcuuVmMSrUxcSZJkiRJktRK/jB3Cd/+2xtV25NG9+OWCw6le75Js7bIxJkkSZIkSVIr+MsLy/jGX1+r2j5oZF9uvWASPfLzshiV6mPiTJIkSZIkqYX9/ZX3+eqfXyHGZHv/4X2446LDKOjWJbuBqV4mziRJkiRJklrQg6+t4Ko/vkxFKmm219AC7rr4MPp0N2nW1pk4kyRJkiRJaiEPv7mKL937EuWprNn4wb24Z9pk+vbIz3JkaggTZ5IkSZIkSS1g1jur+cI9L1KWSprtMbAn91wymQG9umY5MjWUiTNJkiRJkqQMe3rBWi696wVKyisA2H1AD2ZccjiDC7plOTI1hokzSZIkSZKkDJq7aD3T7nie7WVJ0mx43+7MuORwhvYxadbemDiTJEmSJEnKkBfe28CFt82lqLQcgGF9unHvJYczvG/3LEempjBxJkmSJEmSlAGvLN3IBbfOZWtJkjQbVNCVGZcczqgBPbIcmZrKxJkkSZIkSVIzvfH+Js69ZQ6F28sAGNAznxnTJjNmYM8sR6bmMHEmSZIkSZLUDO+sLOScm+ewuThJmvXt0YW7p01m/JCCLEem5jJxJkmSJEmS1EQLVm/h7Jtns2FbKQC9u+Vx98WT2XtY7yxHpkwwcSZJkiRJktQEi9duZer02azdUgJAr6553HnxZPYb3ifLkSlTTJxJkiRJkiQ10tL125g6fTarC7cD0CM/lzsumsRBI/tmNzBllIkzSZIkSZKkRli+sYizps/m/U3FAHTrksOtF0zikN37ZzkyZZqJM0mSJEmSpAZatbmYqdNns2xDEQD5eTncfN4kDt9jQJYjU0swcSZJkiRJktQAawq3M3X6bN5btw2ALrmB359zCEePH5jlyNRSTJxJkiRJkiTtwvqtJZxz8xzeXbMVgLycwK+nTuS4vQZnOTK1JBNnkiRJkiRJ9di4LUmavbOqEIDcnMAvzzqYk/cdmuXI1NJMnEmSJEmSJNVhc3Ep5906lzdXbAYgBLjuzAP58P7DshyZWoOJM0mSJEmSpFps2V7G+bfO5dVlm6rKfvqJAzjtoOFZjEqtycSZJEmSJElSDdtKyrjotud4acnGqrIfnr4/nzp0ZPaCUqszcSZJkiRJkpSmuLScaXc8z9zF66vKvvexfZk6eVQWo1I2mDiTJEmSJElK2V5WzqV3vcAz766rKvvWqXtz/pGjsxeUssbEmSRJkiRJElBSVsEX73mRx+etqSr76gf3ZNoH9shiVMomE2eSJEmSJKnTKy2v4PJ7X+Lht1ZXlV1xwni+eNy4LEalbDNxJkmSJEmSOrXyisjV973Cf95YWVX2+SljufLE8VmMSm2BiTNJkiRJktRpVVREvvrnV/jHK+9XlV189Bj+54N7EkLIYmRqC0ycSZIkSZKkTqmiIvLNv77G/S8uryo774jd+dape5s0E2DiTJIkSZIkdUIxRr779zf4w3NLq8rOOmwk13x0X5NmqmLiTJIkSZIkdSoxRv7vX29x1+z3qso+MXEEP/j4/uTkmDTTDibOJEmSJElSpxFj5Cf/eYdbnlpUVfaxA3fjp588wKSZdmLiTJIkSZIkdRrXPzyf3z3+btX2KfsN5bozDyTXpJlqYeJMkiRJkiR1Cr9+bAG/fGR+1faJew/mhs8cTF6u6RHVzleGJEmSJEnq8KY/sZCf/fedqu1jJwzi12dPJD/P1Ijq5qtDkiRJkiR1aLc/vYgf/Putqu2jxg3g9+ceQte83CxGpfbAxJkkSZIkSeqwZsxZwjX/eLNq+7Ax/bn5vEl062LSTLtm4kySJEmSJHVI9z2/lG/+9bWq7Ymj+nLrBZPonm/STA1j4kySJEmSJHU4D7y0nK/95dWq7QNH9OH2iw6jV9e8LEal9qbdJ85CCOeGEGLqNq0B7W9Jaz+uEf10CSFcEUK4LYTwcgihpKF9SpIkSZKk1vOvV1dw9X0vE2Oyvc+w3tx50WR6d+uS3cDU7rTrNGsIYSRwI7AF6NWA9h8FLmpo+xp6Ar9I/bwKWAmMbOQxJEmSJElSC3rojZVc8YeXqEglzfYcUsDd0ybTp4dJMzVeux1xFkIIwG3AOuB3DWg/CJgO/BF4oQldbgM+DOwWYxwK3NqEY0iSJEmSpBby2Nur+eKMFylLZc3GDurJ3dMm079nfpYjU3vVbhNnwOXA8cCFwNYGtL8pdf/FpnQWYyyJMT4YY1zRlP0lSZIkSVLLeXL+Gi69+wVKy5Ok2egBPZhxyeEMKuia5cjUnrXLxFkIYW/gx8ANMcYnGtD+AuDjwOdijOtaNjpJkiRJktSaZi9cxyV3Pk9JWQUAI/t3Z8YlhzOkd7csR6b2rt3NcRZCyAPuApYA32xA+92BG4C7Y4wPtGx0DRNCqOtS0b0KCwuZNWtWa4bTIgoLCwE6xGNRw3neOy/Pfeflue+8PPedl+e+8/Lcd07t4bzP31DOz58vZnt5st2/W+Dy/WDey3OYl93Q2rX2cO4bqvKxNEW7S5wB3wEOBo6OMRbV1zCEkAPcQbIYwOWtEJskSZIkSWol724s59q0pFnfroGvTerGoB7t8gI7tUHtKnEWQjiMZJTZtTHGZxuwy1XAscCpMcYNLRpcI8QYD6mtPITwQkFBwcQpU6a0ckSZV5mR7giPRQ3nee+8PPedl+e+8/Lcd16e+87Lc985teXz/vryTXxp+myKU0mzgb268ofPHs64wb2yG1gH0ZbPfWMVFBQ0ed92k4JNu0RzHvDtBrQfD/wAuC3G+O8WDk+SJEmSJLWSt1Zs5pxb5lBYXAZA/5753DNtskkzZVy7SZwBvYAJwN5AcQghVt6A76baTE+V/QLYF+gKXJjeNtX+2FT7+amyj7fuQ5EkSZIkSU0xf1Uh59w8h43bSgHo070Ld188mT2HNn1UkVSX9nSp5nbgljrqJpLMe/YU8A7wLLC4nvanAkOBPwGbU20lSZIkSVIbtnDNFqbePId1W0sAKOiax10XH8Y+u/XOcmTqqNpN4iy1EMC02upCCNeQJM7uiDHenFZVV/tZJImzb8YYF9So6wMMAzbFGFc0P3JJkiRJktRc763bytTpc1hTuB2Anvm53HHxYRwwom92A1OH1m4SZ63odOA2ktU4L0ivCCF8HdgrtXlQ6v7CEMLRqZ+fqpG4kyRJkiRJzbRswzamTp/Dys3FAHTvksttFx7GxFH9shyZOjoTZ43zIXbMj1bpyNStkokzSZIkSZIyZMWmIqZOn8PyjUUAdM3L4ZbzD+WwMf2zHJk6gw6ROIsxXgNc04j2U+qpux24vbH7SZIkSZKkzFq9uZizp89hyfptAOTn5nDTeYdy5LiBWY5MnUV7WlVTkiRJkiR1Euu2bOfsm+ewcO1WALrkBn57zkSOnTAoy5GpMzFxJkmSJEmS2pQNW0s4++Y5zF+9BYDcnMCNZ03khL2HZDkydTYmziRJkiRJUpuxqaiUc2+dw9srCwHICfCLTx/Eh/YbmuXI1BmZOJMkSZIkSW1CYXEp5906l9eXbwYgBPj5pw7kowfuluXI1FmZOJMkSZIkSVm3dXsZF972HK8s3VhV9uMz9ueMiSOyF5Q6PRNnkiRJkiQpq4pKyrn4jud4/r0NVWXfP21fPj1pVBajkkycSZIkSZKkLCouLeezdz3P7IXrq8q+/ZF9OPeI0dkLSkoxcSZJkiRJkrKipKyCL9zzIk/OX1tV9vVT9uLio8dkMSppBxNnkiRJkiSp1ZWWV3DZjBd59O3VVWVXnzSBzx07NotRSdWZOJMkSZIkSa2qrLyCK//wMg+9uaqq7LLjxnH5CeOzGJW0MxNnkiRJkiSp1ZRXRL7yp1f412srqso+e8wefPnkCVmMSqqdiTNJkiRJktQqKioiX//Lqzzw8vtVZRccOZpvnLIXIYQsRibVzsSZJEmSJElqcTFGvv231/nTC8uqys6ePIrvfnQfk2Zqs0ycSZIkSZKkFhVj5Hv/eJN75iypKjvz0BF8/7T9TJqpTTNxJkmSJEmSWkyMkR89+Da3P7O4quz0g4fzozMOICfHpJnaNhNnkiRJkiSpxVz70DxuemJh1fap+w/jZ588gFyTZmoHTJxJkiRJkqQW8ctH5vOrxxZUbZ+8zxB+8ZmDyMs1HaH2wVeqJEmSJEnKuN89/i7XzZxXtX3cnoO4cerBdDFppnbEV6skSZIkScqoW55axI8ffLtq+wPjB/Lbcw6ha15uFqOSGs/EmSRJkiRJypi7Zr/H9//5ZtX2EXsM4KZzD6VbF5Nman9MnEmSJEmSpIz443NL+PYDr1dtH7p7P24+/1C655s0U/tk4kySJEmSJDXbX15Yxtfvf61q+6CRfbntwkn07JqXxaik5jFxJkmSJEmSmuUfr7zPV//8CjEm2/sN780dFx1GQbcu2Q1MaiYTZ5IkSZIkqcn+8/oKrvzjy1SkkmZ7DS3grosm06e7STO1fybOJEmSJElSkzzy1iq+dO9LlKeyZuMH9+LuaZPp1zM/y5FJmWHiTJIkSZIkNdrj89bw+btfpLQ8SZrtMbAn91wymYG9umY5MilzTJxJkiRJkqRGeWbBWj575/OUlFcAMKp/D2ZccjiDC7plOTIps0ycSZIkSZKkBpu7aD0X3/E828uSpNnwvt2ZcclkhvYxaaaOx8SZJEmSJElqkBfe28CFt82lqLQcgKG9u3HvJYczol+PLEcmtQwTZ5IkSZIkaZdeXbaRC26dy9aSJGk2qKArMy6ZzKgBJs3UcZk4kyRJkiRJ9Xrj/U2ce8tcCreXATCgZz4zpk1mj0G9shyZ1LJMnEmSJEmSpDotK6zg3FvmsqmoFIC+Pbpw97TJjB9SkOXIpJaXl+0AJEmSJElS27RiSwU/fa6YzSURgN7d8rj74snsPax3liOTWocjziRJkiRJ0k4Wr93KT9KSZr265nHnxZPZb3ifLEcmtR4TZ5IkSZIkqZql67cxdfpsNm5PkmY98nO5/cJJHDSyb3YDk1qZiTNJkiRJklTl/Y1FnDV9Nu9vKgYgPwduOX8Sh47un+XIpNZn4kySJEmSJAGwanMxU6fPZtmGIgDycuDyid04YuyALEcmZYeLA0iSJEmSJNYUbmfq9NksXrcNgC65gcsOyme/gblZjkzKHhNnkiRJkiR1cuu3lnDOzXN4d81WAPJyAr+eOpH8NW9nOTIpu7xUU5IkSZKkTmzjtiRp9s6qQgByAtzwmYM5ed+hWY5Myj4TZ5IkSZIkdVKbi0s579a5vLliMwAhwPWfPohTDxiW5ciktsHEmSRJkiRJndCW7WVccOtcXl22qarsJ584gNMOGp7FqKS2xcSZJEmSJEmdzLaSMi66/TleXLKxquyHp+/PmYeOzF5QUhtk4kySJEmSpE6kuLScS+58nrmL1leVfe9j+zJ18qgsRiW1TSbOJEmSJEnqJLaXlXPpXS/w9IJ1VWX/78N7c/6Ro7MXlNSGmTiTJEmSJKkTKCmr4Iv3vMjj89ZUlX31g3tyyTF7ZDEqqW0zcSZJkiRJUgdXVl7BFX94iYffWl1VdvkJ4/niceOyGJXU9pk4kyRJkiSpAyuviFx13ys8+PrKqrLPHTuWq04cn8WopPbBxJkkSZIkSR1URUXkf/78Kv945f2qsouOGsPXPrQnIYQsRia1DybOJEmSJEnqgCoqIv/vgdf4y4vLqsrOPXx3vv2RvU2aSQ1k4kySJEmSpA4mxsg1/3iDe+curSr7zKSRfO9j+5o0kxrBxJkkSZIkSR1IjJH/+9db3Pnse1VlZ0wczg9P35+cHJNmUmOYOJMkSZIkqYOIMfLT/77DLU8tqir76IG78bNPHmjSTGoCE2eSJEmSJHUQv3h4Pr+d9W7V9of2Hcp1Zx5IrkkzqUlMnEmSJEmS1AH8+rEF3PDI/KrtE/cezC/POpguuX71l5rKd48kSZIkSe3czU8u5Gf/fadq+9gJg/j12RPJz/Nrv9QcvoMkSZIkSWrH7nhmMf/3r7eqto8aN4Dfn3sIXfNysxiV1DGYOJMkSZIkqZ2aMWcJ3/37G1Xbh43uz/TzDqVbF5NmUiaYOJMkSZIkqR360/NL+eZfX6vanjiqL7deOIke+XlZjErqWEycSZIkSZLUzvzt5eX8z19erdo+YEQfbr/oMHp1NWkmZZKJM0mSJEmS2pF/v7aCq+97hRiT7X2G9ebOiw6jd7cu2Q1M6oBMnEmSJEmS1E489MZKLr/3JcorkqzZnkMKuHvaZPr2yM9yZFLHZOJMkiRJkqR24LF3VvPFGS9SlkqajR3Uk7unTaZ/T5NmUksxcSZJkiRJUhv31Py1XHrXC5SWJ0mz0QN6MOOSwxlU0DXLkUkdm4kzSZIkSZLasNkL1zHtzucoKasAYES/7sy45HCG9O6W5cikjs/EmSRJkiRJbdTzi9dz0e3PUVyaJM1269ONey85nN36ds9yZFLnYOJMkiRJkqQ26OWlG7ngtufYVlIOwOCCrsy45HBG9u+R5cikzsPEmSRJkiRJbczryzdx3i1z2LK9DICBvfKZccnhjB7YM8uRSZ2LiTNJkiRJktqQt1du5pxb5rC5OEma9evRhXumHc64wb2yHJnU+Zg4kyRJkiSpjViwupCzp89h47ZSAPp078Ld0yaz59CCLEcmdU4mziRJkiRJagMWrtnCWdPnsG5rCQAFXfO46+LD2He3PlmOTOq88jJ1oBDCPsAxwChgIFAErAZeBp6IMRZmqi9JkiRJkjqSJeu2MXX6HNYUbgegZ34ut190GAeM6JvdwKROrlmJsxDCCOCzwEXAsMriGs0iUB5CeBj4LfDPGGNsTr+SJEmSJHUUyzZs46zps1m5uRiA7l1yufWCSRyye78sRyapSYmzEEJ/4BrgUqALsBiYATwHrATWA92BAcBewBHAFOCDwDshhC/HGB9sXuiSJEmSJLVvKzcVM3X6HJZvLAKga14ON59/KJP3GJDlyCRB00ecLQC6AjcDd8QY5+5qhxBCb+AzJCPU/hlCuCrG+Msm9i9JkiRJUru2urCYqdNns2T9NgDyc3O46bxDOWrcwCxHJqlSUxNndwM/iDGuaugOMcbNwE3ATSGEjwPdmti3JEmSJEnt2rot2zl7+hwWrt0KQF5O4DdnT+TYCYOyHJmkdE1KnMUYL29OpzHGB5qzvyRJkiRJ7dWGrSWcffMc5q/eAkBuTuBXUw/mxH2GZDkySTXlZDsASZIkSZI6i01FpZx76xzeXlkIQE6A6z99EB/ab9gu9pSUDc1aVbNSCCEX6Bpj3Faj/HjgNGAbcFOMcVEm+pMkSZIkqb0pLC7l/Fvn8vryzQCEAD/75IF87MDdshyZpLpkasTZz4H1IYQ+lQUhhM8AM4EvAV8D5oYQRmaoP0mSJEmS2o2t28u46PbneHnpxqqyH52+P584ZET2gpK0S5lKnB0DPBZj3JRW9l1gI3Ae8D9AX+DqDPUnSZIkSVK7UFRSzrQ7nue5xRuqyr5/2r585rBRWYxKUkNkKnE2ElhQuRFC2APYE7gxxnh3jPHnwIPAhzLUnyRJkiRJbV5xaTmfvet5nl24rqrs2x/Zh3OPGJ29oCQ1WKYSZ72BzWnbRwER+E9a2RuAY1AlSZIkSZ1CSVkFX7jnRZ6cv7aq7Gsf2ouLjx6TxagkNUamEmcrgPR3/olAEfBCWlkvoCxD/UmSJEmS1GaVlldw2YwXefTt1VVlV504gc9PGZvFqCQ1VqYSZ7OBj4UQPhJCOBH4JPBojLE0rc0ewPIM9VclhHBuCCGmbtMa0P6WtPbjmtDfkSGEf4cQ1ocQtoUQXg0hXJlaWVSSJEmS1MmVlVdw5R9f5qE3V1WVffG4sVx+QqO/gkrKskwlzn6YOtbfgP8C+cAPKitDCL2BKcCcDPVXedyRwI3Alga2/yhwUUPb17L/acATJIsh/BX4NcljvR74Q1OOKUmSJEnqOMorIl/986v869UVVWWfPWYPvnLynoQQshiZpKbISOIsxvgaMJkkgXQ9cGSMMT1JdgDwEHBvJvoDCMknzm3AOuB3DWg/CJgO/JHql5A2tL/eqf3LgSkxxotjjF8FDgKeBT4ZQvhMY48rSZIkSeoYKioi37j/Vf760o6LrS44cjTfOGUvk2ZSO5WXiYOEEEYBa2KMX6mtPsb4FPBUJvpKczlwPMlItuMb0P6m1P0Xgb80ob9PAoOAO2OMz1cWxhiLQwjfAh4BPo8jzyRJkiSp04kx8p2/v859zy+rKps6eRTf/eg+Js2kdixTl2ouIu3SzJYWQtgb+DFwQ4zxiQa0vwD4OPC5GOO6+lvXqTI5959a6p4AtgFHhhC6NvH4kiRJkqR2KMbI//7zTe6evaSq7FOHjOD/TtvPpJnUzmVkxBmwkeSSyRYXQsgD7gKWAN9sQPvdgRuAu2OMDzSj6z1T9/NqVsQYy0IIi4B9SRZBeGsXMdV1qehehYWFzJo1qxlhtg2FhYUAHeKxqOE8752X577z8tx3Xp77zstz33l57msXY+S+eaU8uGjH2nhHDMvllIHreeKJx7MYWWZ43juvjnTuKx9LU2QqcTYbODhDx9qV76T6OjrGWFRfwxBCDnAHyWIAlzez3z6p+0111FeW921mP5IkSZKkduL+BdWTZpOG5jJt/67kONJM6hAylTi7BngyhDAtxnhzho65kxDCYSSjzK6NMT7bgF2uAo4FTo0xbmipuFIqPxXjrhrGGA+p9QAhvFBQUDBxypQpmYwrKyoz0h3hsajhPO+dl+e+8/Lcd16e+87Lc995ee53duMj8/nHuzsuSjppnyH85uyJdMnN1KxI2ed577w60rkvKCho8r6ZSpydAswCfh9C+DwwF1jJzkmkGGP8flM6SLtEcx7w7Qa0H08y79ptMcZ/N6XPGipHlPWpo753jXaSJEmSpA7q94+/y7UzdyTNjttzEL+aenCHSppJyuyIs0oHU/dlmxFoUuIM6AVMSP1cXMcEi9NDCNNJ5jSbBXQFLgwhXFjHMeenjnN6A+Y/ewc4NBVDtTnKUkm9MUAZsHBXD0SSJEmS1H7d+tQifvTg21XbHxg/kN+ecwhd83KzGJWklpCpxNlxGTpOfbYDt9RRN5EkWfcUSYLrWWBxPe1PBYYCfwI2p9ruyqPA2cCHgHtr1B0D9ACeiDFub8CxJEmSJEnt0F2z3+N///lm1fbhe/TnpnMPpVsXk2ZSR5SRxFmMscWXCkktBDCttroQwjUkibM7asyxVlf7WSSJs2/GGBfUqOsDDAM2xRhXpFX9GfgJ8JkQwo0xxudT7bsB/5dq89tGPixJkiRJUjvxx+eW8O0HXq/aPnT3ftxy/iS655s0kzoqL77e2enAW8CP0gtjjJuBS4BcYFYI4eYQwk+Bl4EjSBJrf2zdUCVJkiRJreH+F5fx9ftfq9o+cGRfbrtwEj27ZupCLkltkYmzRkjNg3Ys8ATwCeBLQClwNfCZGOMuV9SUJEmSJLUv/3jlfb7yp1eo/Ma37269ufPCwyjo1iW7gUlqcRlLjYcQhgHfAj4IDAfya2kWY4wZT8fHGK+h+gIFu2o/pZ6624Hb66l/GvhwQ/uSJEmSJLVf/3l9JVf+8WUqUkmzvYYWcPfFk+nTw6SZ1BlkJIkVQhgOzAWGAG+QrGb5HsmE/nuk+nkZ2JSJ/iRJkiRJammPvLWKL937IuWprNn4wb24e9pk+vWsbZyIpI4oU5dqfodksv0PxRgPTJXdFmPciyRx9l+gO3BGhvqTJEmSJKnFPD5vDZ+/+0VKy5Ok2ZiBPbln2mQG9uqa5cgktaZMJc4+CPwnxvhwzYoY4zLgUySJs+9lqD9JkiRJklrEMwvW8tk7n6ekvAKAUf17MOOSyQzu3S3LkUlqbZlKnA0luUSzUjlJogyAGOMWYCZwWob6kyRJkiQp4+YuWs/FdzzP9rIkaTa8b3dmXDKZYX2672JPSR1RphJnm6m+GMAGkgUC0m0CBmWoP0mSJEmSMurFJRu48La5FJWWAzC0dzdmXDKZEf16ZDkySdmSqcTZe8DItO1XgONDCD0AQgg5wMnAsgz1J0mSJElSxry2bBPn3zqXrSVJ0mxQQVfuuWQyuw/omeXIJGVTphJnjwDHhRAq1+O9A9gNeCaE8DPgaWBf4I8Z6k+SJEmSpIx48/3NnHPLHAqLywAY0DOfGdMmM3ZQryxHJinb8jJ0nFtILs8cCKyIMd4dQjgE+BJwQKrNH4AfZKg/SZIkSZKabd6qQs65ZQ6bikoB6NujC3dPm8z4IQVZjkxSW5CRxFmMcT7wkxplV4UQfgjsASyOMa7KRF+SJEmSJGXCu2u2MHX6HNZvLQGgoFsed188mb2H9c5yZJLaikyNOKtVjHENsKYl+5AkSZIkqbEWr93K1OmzWbtlOwC9uuZx50WHsd/wPlmOTFJbkqk5ziRJkiRJaheWrt/G1OmzWbU5SZr1yM/ltgsncfCoflmOTFJb06QRZyGEW5vYX4wxXtzEfSVJkiRJapb3NxYx9ebZvL+pGIBuXXK45fxJTBrdP8uRSWqLmnqp5gVN3C8CJs4kSZIkSa1u9eZizr55DkvXFwGQn5fD9PMO5YixA7IcmaS2qqmJszEZjUKSJEmSpBa0dst2pt48h0VrtwLQJTfw+3MO4QPjB2U5MkltWZMSZzHG9zIdiCRJkiRJLWH91hLOuXkOC1ZvASAvJ/CrqRM5bq/BWY5MUlvn4gCSJEmSpA5r07ZSzrl5Dm+vLAQgJ8ANnzmYD+47NMuRSWoPmro4wKimdhhjXNLUfSVJkiRJaqjNxaWcd+sc3lyxGYAQ4LozD+LUA4ZlOTJJ7UVT5zhbTDLRf2PFZvQpSZIkSVKDbNlexoW3PccryzZVlf3kEwfw8YOHZzEqSe1NU5NYd9K0xJkkSZIkSS2qqKSci29/jhfe21BV9oPT9+PMQ0dmMSpJ7VFTFwe4IMNxSJIkSZLUbMWl5Vxy5/PMWbS+quyaj+7D2ZN3z2JUktorFweQJEmSJHUI28vK+dzdL/DUgrVVZd/88F5ccNSYLEYlqT3L+HxjIYQRwMFAX2AT8GKMcVmm+5EkSZIkqVJJWQVfvOclZr2zpqrsKydP4LPHjM1iVJLau4wlzlIrbd4EnFRL3UzgczHGxZnqT5IkSZIkgLLyCq74w0s8/NaqqrLLjx/HZcePz2JUkjqCjCTOQghDgaeB4SQrbj4BrACGAUcDJwNPhRAOjTGuzESfkiRJkiSVV0Suvu8VHnx9x1fNzx07lqtOmpDFqCR1FJkacfZtkqTZ14DrYozllRUhhFzgKuCnwLeAyzLUpyRJkiSpE6uoiHztL6/y91feryq76KgxfO1DexJCyGJkkjqKTC0OcCrwUIzxZ+lJM4AYY3mM8efAQ8BHMtSfJEmSJKkTizHy/x54nT+/sGNK7XMP351vf2Rvk2aSMiZTibOhwAu7aPNCqp0kSZIkSU0WY+Sav7/BvXOXVJV9ZtJIvvexfU2aScqoTCXONgG776LNqFQ7SZIkSZKaJMbID/71Fnc8+15V2RkHD+eHp+9PTo5JM0mZlanE2VPAJ0MIR9ZWGUKYDHwq1U6SJEmSpEaLMfKz/77DzU8tqir7yAHD+OknDzBpJqlFZGpxgB+QzHP2eAjhD8BjJKtqDgWmAGcBFcAPM9SfJEmSJKmTueGR+fxm1rtV2x/adyjXf/og8nIzNSZEkqrLSOIsxvhiCOGTwO3A2cDUtOoArAcuijHuah40SZIkSZJ28ptZC/jFw/Ortk/cezC/POtgupg0k9SCMjXijBjjP0MIuwOnAROBPiRzmr0EPBBj3JqpviRJkiRJncfNTy7kp/95p2r7mAmD+PXZE8nPM2kmqWVlLHEGkEqOzUjdJEmSJElqljufXcz//eutqu0jxw7gpnMPoWtebhajktRZZDRxFkLIAfoDEdgQY6zI5PElSZIkSZ3HjDlL+M7f3qjaPmx0f24+/1C6dTFpJql1NHtcawghP4RweQhhDlAMrAJWA8UhhGdDCF8MIXRpbj+SJEmSpM7jzy8s4/898FrV9sGj+nLrhZPokZ/R8R+SVK9mfeKEEAYDDwIHkSwCUPPYk4HDgAtCCKfEGNc2pz9JkiRJUsf3t5eX8z9/foUYk+0DRvTh9gsPo1dXk2aSWldzR5zdCRwMvANMA8YB3YEeqZ8/C8wDDiFZcVOSJEmSpDo9+NoKrr7vFSpSSbN9hvXmzosOo093L2SS1PqanK4PIRwNnAw8BnwkxlhUo8lCYGEI4R7g38ApIYQjY4zPNDlaSZIkSVKHNfPNVXzp3pcoT2XNJgzpxd3TJtO3R36WI5PUWTVnxNmngXLg4lqSZlVSdReRLBhwZjP6kyRJkiR1UI+9s5ov3vMiZamk2R6DenLPtMPp39OkmaTsaU7i7FBgdoxx8a4axhgXAc+SzHcmSZIkSVKVp+av5dK7XqCkvAKA3Qf0YMa0wxlU0DXLkUnq7JqTONsDeKUR7V9J7SNJkiRJEgCzF65j2p3PUVKWJM1G9OvOjEsOZ2ifblmOTJKalzgrANY3ov0GoHcz+pMkSZIkdSAvvLeei25/juLSJGk2rE837r3kcIb37Z7lyCQp0ZzEWTegrBHtywDH2UqSJEmSeGXpRi649Tm2lZQDMLigK/decjgj+/fIcmSStENzEmeQTPgvSZIkSVKDvb58E+feMofC7clYjIG98plxyeGMHtgzy5FJUnV5zdz/qhDChQ1s27eZfUmSJEmS2rm3V27m3FvmsLk4SZr169GFe6YdzrjBvbIcmSTtrLmJs740LiHmCDVJkiRJ6qQWrC7knJvnsGFbKQC9u+Vx18WT2XNoQZYjk6TaNSdxNiZjUUiSJEmSOrRFa7cydfoc1m4pAaCga5I02294nyxHJkl1a3LiLMb4XiYDkSRJkiR1TEvXb2Pq9NmsLtwOQI/8XG6/aBIHjuyb3cAkaReauziAJEmSJEl1Wr6xiM/cNJsVm4oB6NYlh9sumMQhu/fPcmSStGsmziRJkiRJLWLlpmKmTp/N8o1FAHTNy+GW8ycxeY8BWY5MkhrGxJkkSZIkKeNWFxYz9ebZvLduGwD5uTn8/txDOGrcwCxHJkkNZ+JMkiRJkpRR67Zs55yb57BwzVYA8nICvzl7IlP2HJzlyCSpcUycSZIkSZIyZuO2Es65ZS7zVm0BIDcncONZB3PiPkOyHJkkNZ6JM0mSJElSRmwqKuXcW+by1orNAOQEuO7MAzll/2FZjkySmsbEmSRJkiSp2bZsL+OC2+by2vJNAIQAP/3kgZx20PAsRyZJTZfXUgcOIQwCjgIC8GyMcWVL9SVJkiRJyp5tJWVceNtcXlqysarsR6fvzycPGZG9oCQpA5o84iyEcFAI4X9DCAfVUncx8B7wF+DPwHshhCuaHKUkSZIkqU0qLi1n2h3P89ziDVVl/3vavnzmsFFZjEqSMqM5l2qeA3wDWJFeGEI4APgd0A14GvgPUA5cF0I4shn9SZIkSZLakOLSci6583meeXddVdm3Tt2b844Ynb2gJCmDmpM4Owp4Ica4qkb5ZUAu8P0Y4zExxlOBk1N1n2tGf5IkSZKkNqKkrIIv3PMiT85fW1X2Px/ak2kf2COLUUlSZjVnjrORwMO1lJ8IFAM/riyIMT4VQngUOKIZ/UmSJEmSsmDeqkJmLi6lqDyyqMsiJo/pzw2PzOfRt1dXtbnyxPF8Ycq4LEYpSZnXnMTZQGB5ekEIoT8wGng8xlhUo/0bJKPUJEmSJEntwNML1nLDI/OZu2h9Vdn989/cqd0XjxvLFSeMb83QJKlVNCdxVgr0r1F2cOr+xVrabwViM/qTJEmSJLWSPz63hG/c/xoVu/gWd8z4gXzl5D0JIbROYJLUipozx9kCkssy051MkhybXUv7YcDKZvQnSZIkSWoFTy9Y26CkGcBTC9ZWWxxAkjqS5iTO/gGMDSHcFEI4IITwSZLJ/4uB/9bS/nBgUTP6kyRJkiS1ghsemd+gpBlARYRfPjK/ZQOSpCxpTuLsWuA94GLgJeCPQAFwfYxxc3rDEMI+wF7Ao83oT5IkSZLUwuatKqw2p1lDzFm0nnmrClsoIknKniYnzmKMm4AjgduAt4GngS/FGL9VS/MPA68A/2pqf5IkSZKklvf0grWtup8ktWXNWRyAGOMKYFoD2v0c+Hlz+pIkSZIktbyVm4qbtN+W4rIMRyJJ2desxJkkSZIkqWNYu2U7v5v1Lrc9s7hJ+/fq5tdLSR2Pn2ySJEmS1Ilt3FbC759YyB3PLGZbSXmTj3PUuIEZjEqS2oYmJ85CCLv6RI3ARpK5zW6LMd7d1L4kSZIkSZm1ubiUW55cxK1PLaJwe/XLLHvm57K1EUm0yWP6M2FIQaZDlKSsa86Is9CA+v7AccCUEMKHYoznNKM/SZIkSVIzbd1exu3PLOamJxayqai0Wt1eQwu4+qQJ9MjP5bxb51IRd328nACXnzC+haKVpOxqcuIsxljvipwhhAAMJFl583vAWSGEf8YY/9DUPiVJkiRJTVNcWs5dz77H7x5/l3VbS6rVjR3Uk6tOmsCH9xtGTk4yRuJHZ+zPN+5/rd7kWU6AH59xgJdpSuqwWmyOsxhjBNYAfwshPA7MAy4CTJxJkiRJUivZXlbOH+Yu5dePLWB14fZqdbsP6MEVJ4zntIOGk5tT/aKiT08axYh+PfjlI/OZs2j9TsedPKY/l58w3qSZpA6tVRYHiDFuDCH8DTitNfqTJEmSpM6utLyCP7+wjBsfmc/7m4qr1Q3v250vHT+OTxwygi65dV9MdNS4gRw1biDzVhVyx4OzKSqP7L9XkixzTjNJnUFrrqq5EujTiv1JkiRJUqdTVl7BAy+/zy8fmc+S9duq1Q0u6Mplx4/j05NG0jUvt8HHnDCkgJNGdwFgylFjMhqvJLVlrZk4GwBsacX+JEmSJKnTqKiI/PO1Ffzi4XksXLO1Wt2Anvl8fspYzjl8d7p1aXjCTJI6u1ZJnIUQ8oEPA2+0Rn+SJEmS1FnEGPnvG6u4fuY83llVWK2uT/cuXHrsHpx/xGh6dm3NcROS1DG0+CdnCGE/4KfASOAnLd2fJEmSJHUGMUYee2c1182cx+vLN1erK+iax8UfGMNFR4+hd7cuWYpQktq/JifOQggLd9EkB+gP9AQC8DhwU1P7kyRJkiQlCbOnF6zj2pnv8NKSjdXqeuTncuFRo7nkA3vQt0d+dgKUpA6kOSPORjew3XvA7cCPYozlzehPkiRJkjq1OQvXce3MecxdtL5aede8HM47Ync+d+xYBvTqmqXoJKnjaU7ibFdLqVQAm2KMm3fRTpIkSZJUj5eWbOC6mfN4cv7aauX5uTmcddhIvnjcOAb37pal6CSp42py4izG+F4mA5EkSZIkVff68k1cP3Mej7y9ulp5Xk7gU4eO5LLjxzG8b/csRSdJHZ/LqkiSJElSGzNvVSHXz5zHg6+vrFaeE+D0g0dwxQnjGTWgR5aik6TOo0mJsxDCoTHG55vaaQihGzAmxvhWU48hSZIkSR3NwjVb+MXD8/nHq+8T447yEOAjB+zGlSeOZ+ygXtkLUJI6mZwm7jc3hPDXEMLkxuwUQugTQrgCWAh8qol91zzmuSGEmLpNq1E3MoTwmxDCnBDCyhDC9hDC+yGEJ0MIF4YQGrUucwihVwjh+yGEt0IIxSGEjSGER0IIH87EY5EkSZLUOS1dv42v/OkVTrzucf7+SvWk2Yf2Hcp/rjiGG8862KSZJLWypl6qOQ34PvBMCGE+8AfgaeD5GOOGykYhhFxgT+Bw4IPAR4FuwJ+A25oRd+XxRwI3AluA2n6DjAXOBuYADwDrgQHAKcCtwHkhhJNijGUN6Ksv8CSwH/AG8HugJ/Ax4F8hhCtijL9s5kOSJEmS1Im8v7GIXz22gPueW0pZRaxWd/xeg7n6pAnsN7xPlqKTJDUpcRZjvDWE8EfgCuBS4DtABAghlAIbSBJkvVO7BKAc+Afwsxjjs82MmxBCIEm+rQPuB75SS7NngH4xxooa+3YBHgKmAGcA9zWgy2tIkmb3A5+uTLaFEAYBc4GfhxAejDHOb8rjkSRJktR5rN5czG9mvcuMOUsoKa/2dYWjxw3k6pMnMHFUvyxFJ0mq1JxVNbcCPwwh/Bg4CTgROBoYRTKqqwhYALwKzAIeiDEub27AaS4HjidJfh1fR4wldZSXhhAeSO07voH9nZG6/076CLUY45oQwrUkI98+B3y5gceTJEmS1Mms27Kd3z+xkDufXUxxafWE2WGj+/PlkycweY8BWYpOklRTs1fVTI3m+m/q1ipCCHsDPwZuiDE+EUKoNXFWz/65QOW8ZK82cLehqfuFtdRVlp3QmDgkSZIkdQ6btpUy/cmF3Pb0IraWlFerO2hkX7588gSOHjeQ5MIaSVJbEWKMu27VhoQQ8oDZQAFwUIyxKIRwDfBd4JIY48217DMQuIzkktFBJCPkxgEzgHNiA56EEML7wDBg3xjjmzXqLiMZcbY9xtitAcd6oY6qvcaPH9/jpptu2tUh2rzCwkIACgoKshyJWpPnvfPy3HdenvvOy3PfeXnuG6eoLPLQ4lL+s7iUohozK+/eO4fTx3XhwEG57SJh5rnvnDzvnVdHOvef/exnmT9//osxxkMau2+zR5xlwXeAg4GjY4xFDdxnIElirVIEfg58syFJs5R/ApcA14QQzooxlgOEEAYAV6fadA0hdG9EXJIkSZI6oO1lkYeXlPLvRaVsLa1eN7xX4PRx+RwypH0kzCSpM2tXibMQwmHAN4FrG7PAQIzx7WT3kAsMB04H/hc4OoRwaoxxfQMO8x3gZOBTwN4hhEeAHsBpQCGwLbVdXucRdsRTa4YzhPBCQUHBxClTpjQgnLZt1qxZAHSEx6KG87x3Xp77zstz33l57jsvz339ikvLuWfOEn771ALWbqmeMdtjYE+uOHE8HzlgN3Jz2l/CzHPfOXneO6+OdO6bM2qu3STOUpdo3gXMA77dlGOkRoktAW4IIawC7iVJoF3WgH1XhhAmAd8CPgp8gWT10H8C3yeZ52xTXQsSSJIkSeq4Ssoq+OPzS/nVo/NZtXl7tbqR/btzxQkT+PhBu5GXm5OlCCVJTdFuEmdAL2BC6ufiOoY0Tw8hTCdZNODKXRzvwdT9lIYGEGNcA1yRulUJIRxHMn/acw09liRJkqT2r7S8gvtfXMYvH1nA8o3VZ2wZ1qcbXzp+PJ86dARdTJhJUrvUnhJn24Fb6qibSDLv2VPAO0BDLuMcnrovq7dVw1ySur8nA8eSJEmS1MaVV0T+/spybnh4PovXbatWN6igK1+cMpbPHDaKbl1ysxShJCkT2k3iLDXh/rTa6lKrah4M3JG+qmYIYTLwWoxxW432vYAbUpv/qlHXh2T1zE0xxhVp5TlAjxjjlhrtpwFnAS9j4kySJEnq0CoqIg++vpLrH57HgtXVvhrQv2c+nz92LOccvjvd802YSVJH0G4SZ030DWBKCOFxkrnNtgEjgVOAvsAzwI9q7HM6cBtwB3BBWnkPYFUIYSawIFX2AeAw4F3g9BhjjfVyJEmSJHUEMUZmvrmK62bO4+2VhdXqenfL49Jjx3L+kaPp1bWjf8WSpM4lo5/qIYQDgKnA3kDPGOOJqfLRJAmmmTHGDZnscxemA1uBSSRzmfUgmdD/BeA+4NYYY0Mv1dwO/AE4GjgpVfYu8F3gupoj0SRJkiS1fzFGHp+3hutmzuPVZZuq1fXqmsdFR4/h4qPH0Kd7lyxFKElqSRlLnIUQ/hf4JlA562VMq84hWcHySuDGTPVZKcZ4DXBNLeX/osalmA041u3A7bWUlwIXNyU+SZIkSe3PM++u5dqH5vHCe9X/99+9Sy7nHzmaS4/Zg34987MUnSSpNWQkcRZC+AzwLeC/wNeATwNfr6yPMS4MITwPfIwWSJxJkiRJUqY8v3g91z40j2cXrqtWnp+Xw7mH787njh3LoIKuWYpOktSaMjXi7HKSeb9OizGWhBBOr6XNWySXS0qSJElSm/Pqso1c+9A8Hp+3plp5l9zAZyaN4ovHjWNon25Zik6SlA2ZSpztD9weYyypp837wJAM9SdJkiRJGfHWis1cN3MeM99cVa08NyfwyYkj+NIJ4xjRr0eWopMkZVOmEmcBqNhFmyFAcYb6kyRJkqRmWbC6kOtnzudfr62oVh4CnH7QcC4/YTyjB/bMUnSSpLYgU4mz+cCRdVWGEHJJVqN8I0P9SZIkSVKTLF67lRsemc/fXl5ORaxed+oBw7jqxPGMG1yQneAkSW1KphJn9wH/F0L4cozx2lrqvwGMA27IUH+SJEmS1CjLNmzjxkcW8OcXl1FeI2N20j5DuOrECeyzW+8sRSdJaosylTj7BfAp4KchhDOBCBBC+DnwAeBQYDZwU4b6kyRJkqQGWbmpmF89Np8/PreU0vLqCbMpew7i6pMmcMCIvtkJTpLUpmUkcRZjLAohHEcyouxsIDdVdTXJ3Gd3A5fFGMsy0Z8kSZIk7cqawu38dta73D3nPUrKqk/JfOTYAXz55Akcsnv/LEUnSWoPMjXijBjjJuCCEMLVwCRgALAJmBtjXFPvzpIkSZKUIRu2lvD7JxZyxzOLKSotr1Z36O79uPrkCRw5dmCWopMktScZS5xVijGuB/6b6eNKkiRJUn02FZVyy5MLufXpxWzZXv1ilwNH9OHqk/fkmPEDCSFkKUJJUnuTkcRZCGEQsDfwUoyxsJb63sBBwJsxxrWZ6FOSJEmSALZsL+P2pxdx0xML2VxcPWG297DeXH3SBE7ce7AJM0lSo2VqxNm3gAuBYXXUlwP/AG4GvpyhPiVJkiR1YkUl5dw1ezG/e3wh67eWVKsbN7gXV580gQ/tO5ScHBNmkqSmyVTi7CTgoRjj1toqY4xbQwgPAR/ExJkkSZKkZiguLefeuUv4zax3WVO4vVrd6AE9uPLECXz0wN3INWEmSWqmTCXORpKMKKvPQuDkDPUnSZIkqZMpKavgTy8s5VePLmDFpuJqdcP7dueKE8ZzxsTh5OXmZClCSVJHk6nEWQTyd9EmH8jNUH+SJEmSOomy8gr++tJybnhkPss2FFWrG9q7G5cdP44zDx1Jfp4JM0lSZmUqcfYOyWWYtQrJLJwfBBZkqD9JkiRJHVx5ReSfr77PDQ/PZ+Ha6rPCDOzVlS9MGcvUyaPo1sX/z0uSWkamEmd/Bn4UQvgV8NUYY9W/gUII3YGfA3uSLCIgSZIkSXWKMfLfN1Zy3cx5zFu1pVpdvx5duPTYsZx3xO70yM/U1xlJkmqXqd80vwTOAj4PfDyE8ASwHBgOHAPsBrwC/CJD/UmSJEnqYGKMPPr2aq6bOY833t9cra6gWx6f/cAeXHDUaAq6dclShJKkziYjibMYY1EIYQrwG+BM4DNp1RXADOCy9JFokiRJkgRJwuypBWu59qF5vLx0Y7W6nvm5XHT0GKYdvQd9epgwkyS1royNbY4xbgSmhhCuACYBfYGNwNwY49pM9SNJkiSp45izcB3XPjSPuYvXVyvv1iWH848YzaXHjqV/z12tQyZJUsvI+KQAMcY1wL8zfVxJkiRJHceLSzZw3UPzeGpB9f+x5+fmMHXyKL5w3FgGF3TLUnSSJCWcTVOSJElSq3l9+SaumzmPR99eXa08Lyfw6Ukjuez4cQzr0z1L0UmSVF2TEmchhFuBCHwzxrgqtd0QMcZ4cVP6lCRJktR+vb1yM9fPnMd/31hVrTwnwCcmjuDyE8Yzsn+PLEUnSVLtmjri7AKSxNlPgFWp7YaIgIkzSZIkqZN4d80WfvHwfP756vvEuKM8BPjYgbtxxQnj2WNQr+wFKElSPZqaOBuTul9eY1uSJEmSWLJuGzc8Mp+/vrSMili97pT9hnLVSROYMKQgO8FJktRATUqcxRjfq29bkiRJUue0fGMRv3p0Pn96fhllNTJmJ+49mCtPnMB+w/tkKTpJkhonI4sDhBAWAg/GGL+YieNJkiRJal9Wby7m148t4N65Sykpr6hW94HxA7n6pAkcPKpflqKTJKlpMrWq5iBgU4aOJUmSJKmdWLdlO797/F3ufPY9tpdVT5hNHtOfL5+8J4eN6Z+l6CRJap5MJc7eAMZm6FiSJEmS2riN20q46YmF3P7MYraVlFermziqL18+eU+OHDuAEEKWIpQkqfkylTj7JXBzCOGAGOOrGTqmJEmSpDZmW2nkofdK+dJjj1G4vaxa3X7De/Plk/Zkyp6DTJhJkjqETCXOlgEPA0+HEH4PPAesBGLNhjHGJzLUpyRJkqRWsnV7GXc8u5hfP7GNraXV6/YcUsDVJ0/g5H2GmDCTJHUomUqczSJJkgXgampJmKXJzVCfkiRJklpYcWk5d89+j9/Oepd1W0uq1e0xqCdXnTiBU/cfRk6OCTNJUseTqcTZ/1J/skySJElSO7K9rJw/PreUXz26gNWF26vVDeoe+PpHDuC0g3YjLzcnSxFKktTyMpI4izFek4njSJIkScqu0vIK/vLCMm58dAHLNxZVq9utTzc+OKKCo4bnceIhI7IUoSRJrafZibMQwihgEsmIs+dijEubHZUkSZKkVlVeEfnby8v5xcPzWbJ+W7W6wQVduez4cXx60kieferJLEUoSVLra1biLITwc+BKkrnNAGII4foY41ebG5gkSZKklldREfnXayv4xcPzeHfN1mp1A3rm8/kpYznn8N3p1sWpiiVJnU+TE2chhKnsWAjgbZLk2Z7A1SGEF2OM92YmREmSJEmZFmPkoTdXcf3Meby9srBaXZ/uXbj02D04/4jR9OyaqWmRJUlqf5rzW/BioAz4YIzxMYAQwonAg6k6E2eSJElSGxNjZNa8NVz30DxeW76pWl1B1zwu/sAYLjp6DL27dclShJIktR3NSZwdADxQmTQDiDE+HEL4GzCluYFJkiRJyqxnFqzl5w+9w4tLNlYr75GfywVHjuazx+xB3x752QlOkqQ2qDmJs37AO7WUvw18vBnHlSRJkpRBzy1ez7UPvcPsheurlXfNy+G8I3bn0mPHMrBX1yxFJ0lS29WcxFkOUFpLeSk7FguQJEmSlCUvL93IdTPn8cS8NdXK83NzOOuwkXzhuHEM6d0tS9FJktT2NXemz5iRKCRJkiRlzBvvb+L6mfN4+K3V1crzcgKfOnQElx0/nuF9u2cpOkmS2o/mJs6uCSFcU1tFCKG8luIYY3RZHkmSJKkFzF9VyPUPz+Pfr62sVp4T4PSDR3DFCeMZNaBHlqKTJKn9aW4Sq7GXZHoJpyRJkpRhi9Zu5YaH5/G3V94npl0TEgJ85IDduOKE8Ywb3Ct7AUqS1E41OXEWY8zJZCCSJEmSGmfp+m388pH53P/Scsorqs+i8sF9h3DVSRPYa2jvLEUnSVL752WTkiRJUjuzYlMRv3p0Afc9v5TS8uoJs+P3GszVJ01gv+F9shSdJEkdh4kzSZIkqZ1YXVjMb2e9yz1zllBSVlGt7uhxA7nqpAkcsnu/LEUnSVLHY+JMkiRJauPWby3h94+/yx3PLqa4tHrC7LDR/bn65AkcvseALEUnSVLHZeJMkiRJaqM2FZVy85MLufWpRWwtqb5o/YEj+/LlkybwgfEDCcE1uCRJagkmziRJkqQ2Zsv2Mm57ahE3PbmQwuKyanX7DOvNl0+ewPF7DTZhJklSCzNxJkmSJLUR20rKuPPZ9/j94++yYVtptboJQ3px1YkT+OC+Q8nJMWEmSVJrMHEmSZIkZVlxaTkz5izhN7PeZe2W7dXqxgzsyZUnjucjB+xGrgkzSZJalYkzSZIkKUtKyiq47/ml/OrRBazcXFytbkS/7lxxwnhOP3g4ebk5WYpQkqTOLaOJsxBCF+AEYG+gV4zx+6nybkBvYG2MsaKeQ0iSJEkdXll5Bfe/tJxfPjKfZRuKqtUN69ONy44fx6cOGUl+ngkzSZKyKWOJsxDCh4BbgKFAACLw/VT1QcDTwDnAvZnqU5IkSWpPyisi/3jlfW54ZD6L1m6tVjewV1e+eNxYzjpsFN265GYpQkmSlC4jibMQwqHAA8Ba4CrgMOCsyvoY4+wQwiLgdEycSZIkqZOpqIj8542VXD9zHvNXb6lW169HFz4/ZSznHj6a7vkmzCRJaksyNeLs28A24NAY48oQwndrafMcMDFD/UmSJEltXoyRR95azbUz5/HWis3V6np3y+Ozx+zBBUeNoVdXpx6WJKktytRv6KOAB2KMK+tpsxQ4NUP9SZLaiHmrCpm5uJSi8siiLos4atxAJgwpyHZYkpRVMUaemL+W62bO45WlG6vV9eqax0VHjebiD+xBn+5dshOgJElqkEwlznqRXKZZnx6As5tKUgfx9IK13PDIfOYuWl9Vdv/8NwE4bEx/rjhhPEeNG5it8CQpa559dx3XzXyH5xZvqFbevUsu5x85mkuP2YN+PfOzFJ0kSWqMTCXOlgP77qLNQcDCDPUnScqiPz63hG/c/xoVsfb6uYvWc+4tc/jxGQdw5qSRrRucJGXJC++t59qH5vHMu+uqlefn5XDO5N35/JSxDCromqXoJElSU2QqcfYg8LkQwtExxqdqVoYQTgGOBH6cof4kSVny9IK19SbNKlVE+Pr9rzK8X3dHnknq0F5btolrZ77DrHfWVCvvkhv49KSRXHbceIb26Zal6CRJUnNkKnH2I+AzwEMhhBuB0QAhhFOBY4AvAiuA6zLUnyQpS254ZP4uk2aVKiL88pH5Js4kdUhvrdjM9TPn8dCbq6qV5+YEPjlxBJcdP46R/XtkKTpJkpQJGUmcxRiXhxBOBu4DvppW9XcgAO8CZ8QYdzUPmiSpDZu3qrDanGYNMWfReuatKnTBAEkdxoLVhVz/8Hz+9eqKauUhwMcPGs4VJ4xn9MCeWYpOkiRlUsbWvY4xvhhC2JNk5cwjgAHAJmA28LcYY1mm+pIkZcfTC5r2/4/fP/4u5xy+OyP69WBgr3xCCBmOTJJa3nvrtnLDw/N54OXlO428PXX/YVx54njG+08CSZI6lIwlzgBijOUko8z+nsnjSpLahi3FTfsfyF9eXM5fXlwOJKvKjejXnRH9ujOyfw9G9uvByP7dGdEv+blPjy6ZDFmSmm3Zhm386tEF/OmFZZTXyJidtM8QrjpxAvvs1jtL0UmSpJaU0cSZJKlj69Wt+b82ikrLmb96C/NXb6m1vqBbXiqJVplYSyXV+vdgRL/u9Ozqry5JrWPV5mJ+9egC/vDcEkrLqyfMjp0wiKtPmsCBI/tmJzhJktQqMvLtI4RwXgOaVQCbgbdijPMz0a8kqXU1dZL/o8YOYMO2UpZu2EbhLkatFRaX8daKzby1YnOt9QN65icj1lKj1UakJdiG9+tO17zcJsUoSZXWbtnOb2e9y92z32N7WUW1uiP2GMCXT57AoaP7Zyk6SZLUmjL1b/vbgQausQYhhDeAL8YYn8xQ/5KkVjB+cC9G9OvOsg1FDd5n8pj+3HPJ4VXbm4pKWbp+G8s2bGPp+qLkfkNRqqyIotLyeo+3bmsJ67aW8MqyTbXWD+ndNXX5Zyqp1q8HI/on98P6dCMvN6fBsUvqXDZsLeGmJxdy+9OLd/osOnT3flx98gSOHOsqwZIkdSaZSpxdCHwcOA14GHgKWAUMAT4AnAA8ADwNTATOBP4bQjgixvhKhmKQJLWgGCM/evDtRiXNcgJcfsL4amV9unehz/A+7De8T619rNtawtL1STItPbm2bEMRyzcUUVJesdN+6VZt3s6qzdt5/r0NO9Xl5gSG9elWfaRaKqk2ol8PBhd0JSfHhQukzmZzcSk3P7mIW59axJbt1UfFHjCiD1efNIFjJwxyYRNJkjqhTCXO1gCnAKfEGP9bszKE8CGSxNn0GOO1IYRbgYeArwFTMxSDJKmFlJVX8M2/vsZ9zy9r8D45AX58xgGNurwzhMDAXl0Z2KsrB4/qt1N9RUVkVWHxjpFq64tYumFb1Wi1FZuKdlrpLl15RWTZhqI6k3/5eTmM6Jtc8rnzwgXd6d/TFUGljmTr9jJuf2YxNz2xkE1FpdXq9hpawJdP3pMT9x7s+16SpE4sU4mz/wfcX1vSDCDG+J8Qwv3At4AHY4yPhBBmAsdmqH9JUgspLi3nij+8xH/fWFVVdvI+QzjrsFH87vF3mbNo/U77TB7Tn8tPGN/kOdHqkpMTGNanO8P6dOewMTvPL1RaXsGKjcWpyz93JNaWpS4FXV24vd7jl5RVsHDtVhau3VprfY/83Gqj1UZULVyQbPfu5oqgUntQXFrOXc++x+8ef5d1W0uq1Y0b3IurTpzAKfsNdQSqJEnKWOLsQOCxXbRZCHw0bfsN4LgM9S9JagFbtpfx2Tuf55l311WVfeqQEfzojP3Jy83huL0GM29VIXc8OJui8sj+eyXJsglDCrISb5fcHEYN6MGoAT1qrS8uLWf5xqIdl4KmRqpVjlrbsK201v0qbSsp551VhbyzqrDW+j7du1TNq1Y1Ui3tUtDu+S5cIGXT9rJy/jB3Kb9+bMFOifTRA3pwxYnj+diBw8k1YSZJklIylTgrAfbfRZsDgPRvJHnAtgz1L0nKsPVbS7jgtrm8mjYJ/yUfGMM3P7x3tcuWJgwp4KTRyUirKUeNafU4G6Nbl1zGDurF2EG9aq3fsr1sxyWgNZJqyzYU7TT3UU2bikrZVFTKG+/XviLowF75qWRaj2oJtpH9erBb3+7k57lwgdQSSssr+PMLy7jxkfm8v6m4Wt3wvt254oTxnDFxuIuHSJKknWQqcfYY8PEQwmdjjDfVrAwhfA74CHB/WvFeQMMny5EktZr3NxZx7i1zeHfNjksW/+dDe/L5Y8d26Ll+enXNY6+hvdlraO+d6mKMqRVBKy//3HmOte1l9S9csHZLCWu3lPDy0o071YUAQ3vvWLhgRP9kXrXKJNuwPt0dBSM1Ull5BQ+8/D6/fGQ+S9ZX/3/tkN5duey4cZw5aSRd8xwNKkmSapepxNnXgSnAb0MIXwaeZceqmkcA44CNwDcBQghDSC7T/G2G+pckZci7a7Zw7s1zqkZlhAA/+Pj+TJ08KsuRZVcIgb498unbI5/9R9S+IuiaLdurrQKaXBK6Y0XQsnpWLogRVmwqZsWmYuYu3rk+LyewW9/uySWgfXfMq1Y5cm1QQdcOndSUGqOiIvLP11bwi4fnsXBN9TkLB/bK5/NTxnH25FF062LCTJIk1S8jibMY4/wQwpHAb0gSYuNrNJkFfDHGOC+1vRoooPqlm5KkLHt9+SbOv3Vu1WTZXXIDv/j0wZx6wLAsR9b2hRAYXNCNwQXdOGT3nVcELa+IrNxcvOMS0LSk2rL121ixuZhYz4qgZRWRJeu3pUbNrNupvmteTvXFCmpcEtq3RxcTa+rwYoz8941VXD9z3k5zEfbt0YVLjxnL+UfuTo/8TP3vWJIkdXQZ+6shxvgOcEIIYQRwENAH2Ay8FGNcVqNtBOpf2kyS1KqefXcdl9z5fNU8Xt275PL7cw/hmAmDshxZx5CbExjetzvD+3avtb6krIL3NxZVm1dt6YaiqktC126p/9fm9rIK3l2ztdrltel6dc3bKbFWuTroyP496NXVRILarxgjj72zmutmzuP15dXnGCzomse0D+zBRUePpsCVbyVJUiNl/K/kVJLMucskqR2Z+eYqvjjjRUpSc3T16d6F2y6cxMRRO4+cUsvIz8th9MCejB7Ys9b6opJylm/ceV61panE2qai+gdxb9lextsrC3l7Ze0rgvbt0aXaYgU75llLfvaSNrVFMUaeXrCOa2e+w0tLNlar65Gfy0VHjeGSD+xBnx4mzCRJUtP472VJ6uT+8sIy/ucvr1Kemn9rcEFX7rp4MnsOLchyZErXPT+XcYMLGDe49vOyubiUZTWSaukLGGwrKa/3+Bu3lbJx2yZeW76p1vpBBV2rLVZQeSno6m0V9O/mJaBqfXMWruPamfOYu2h9tfJuXXI474jRXHrMHgzo1TVL0UmSpI4io4mzEMIk4IPAcKC2v1RijPHiTPYpSWq6m59cyP/9662q7d0H9ODuiyczsn+PLEalpujdrQv77NaFfXarfUXQDdtKq82rVnUp6PptLNtYVDXasC5rCrezpnA7L9YY1QMQgN3mPlrnHGtDendzRVBlzEtLNnDdzHk8OX9ttfL83BymTh7FF6aMZXDvblmKTpIkdTQZSZyFZLbh24FzSP5+jqn7SjGt3MSZJGVZjJFrH5rHrx5bUFW297De3HHRJAYX+IWzowkh0L9nPv175nPgyL471VdUVK4IWn3hgqXri1i2cRvvbyyuGpFYmwgs31jE8o1FzKkx+geSRSaG992RVBtRY+GCgb3yXbhAu/T68k1cP3Mej7y9ulp5Xk7gzEkjuey4cexWxxyCkiRJTZWpEWeXAecCdwK/BJ4HfgHcB0wBvg78G/hGhvqTJDVReUXku39/nbtnL6kqmzS6HzefP4k+3Z0HqDPKyQkM6d2NIb27cejonevLyitYsam42iqgS1MJtndXbmTj9kg9C4JSWh5ZvG4bi9dtq7W+W5ecJJlWuVhB+sIF/Xo4P1Un987KQq6fOY//vLGyWnlOgDMmjuDy48czaoCjZCVJUsvIVOLsfOCdGOMFQOV/jTfGGGcDs0MI/wVmAzOB2zLUpySpkUrKKrj6vpf556srqsqO23MQvzn7ELrnO/m7apeXm1O1+mZNs2bNorQiMnb/SdUWK0hPsq3bWlLv8YtLK1iwegsLVm+ptb6gW161xFr6HGsj+nWnpyuCdkgL12zhFw/P5x+vvk9My8yGAB89YDeuOHE8Ywf1yl6AkiSpU8jUX5p7kow2q/XYMcaXQgj/BL6AiTNJyoptJWV8/u4XeXzemqqy0w7ajZ9/6kC65OZkMTK1d11yAnsM6sUedSQxtm4vY/nG1CWglXOrpSXYCovL6j1+YXEZb63YzFsrNtda379nPiNTq4CmJ9VG9uvObn1dEbS9Wbp+Gzc8Mp/7X1xGzSuET9lvKFeeOMHFSyRJUqvJVOIsAOnLcG0F+tdoMx84OUP97eg4hMpLRAEuiTHenFY3kuTy0EOA3YF+wDrgXeBW4O4YY2kj+uoKTCMZYbcH0A1YSjKS7toY43vNfkCS1AI2bSvlojue44X3NlSVnX/E7nz3o/uS46TtamE9u+YxYUgBE4bUnuzYVFSaml8tNa/ahh2Xgi7bUERRaf0rgq7fWsL6rSW8sqz2FUGH9O660+WfI1ILGAzr0408E8dtwvsbi7jx0QX86fmllNXImJ2w12CuOmkC+w3vk6XoJElSZ5WpxNlykpU0Ky0kSValG0+SUMuYVGLsRmALUNu/uccCZwNzgAeA9cAA4BSSxNl5IYSTYoz1/6s76SsPeAQ4CngbuBfYDkwCvpQ61pExxjeb+bAkKaNWby7mvFvn8vbKwqqyK04Yz5UnjndCdrUJfbp3oc/wPrUmRWKMrNtastNIteR+G8s3FlFaXt8Ma7Bq83ZWbd7O82mJ40q5OYFhfbpVH6lWuYBBvx4MLuhqcrmFrd5czG9mvcuMOUsoKa++uusHxg/k6pMmcPCoflmKTpIkdXaZSpzNpXqi7EHgqyGEbwP3kywQcBrwzwz1V7mS520kI8juB75SS7NngH4xxooa+3YBHkrFdQbJIga7cjpJ0uwR4OT0Y4YQvgd8JxXDRY19LJLUUpas28Y5t8xhyfodk7J/96P7cOFRY7IYldRwIQQG9urKwF5da02eVFREVhUWJ5d9Vq4KmkqqLdtQxIpNRTtd7peuvCImc7FtKGI2O68Imp+Xw4i+3Rle68IF3enf0xVBm2rdlu38/omF3PnsYopLqyfMDhvTn6+cvCeHjal5AYMkSVLrylTi7C/AoSGEMTHGRcBPgTOB7wHXkFzKuZ5kdc1MuRw4niT5dXxtDWKMtc5GHGMsDSE8kNp3fAP72yN1/6+aiTjgbySJs0ENPJYktbi3VmzmvFvnsqZwO5CMrPn5pw7g9INHZDkyKXNycgLD+nRnWJ/utSZZSssrWLGxckXQ6gsXLF2/jdWp90ddSsoqWLh2KwvX1j5ovkd+7k6LFYzol4xaG9m/B727uSJoTZu2lTL9yYXc9vQitpZUvwz34FF9+fJJe3LUuAEmJCVJUpuQkcRZjPEBkkshK7fXhxAOBi4huVxyMXBnjHFFbfs3Vghhb+DHwA0xxidCCLUmzurZPxf4cGrz1Qbu9kbq/pQQwg01kmcfSd0/3Jg4JKmlvPDeei687Tk2pyZd75qXw2/OnsgJew/JcmRS6+qSm8OoAT0YNWDnFUEBikvLUyPOUpeC1hi1tmFb/VOhbispZ96qLcxbVfuKoL275VWNVKu6BDQ1v9qIfj061Wq2hcWl3Pb0YqY/uXCnBSH2G96bL5+0J1P2HGTCTJIktSkhxvrnBWlrUnONzQYKgINijEUhhGuA71JjcYC0fQYCl5GMfBsEnASMA2YA58QGPAmpS0P/THJp55skSbISkktUjwZ+B1wVY6x/BuPkWC/UUbXX+PHje9x00027OkSbV1iYzKVUUOCqV52J571teHVNGb96aTslqfR+9zy4cmI39vz/7d17nJVlvf//12eGgeEwnAQ8oiIHRcUDCOS2UjPbmrVN0ywVEUWznVvb1TfL2mXt3dfc32yn+bNUEBDTtDJtZ5plnlIDBM+pgIKAIoqcz8zM9ftjLZYjLmBg1rBmrfV6Ph7zuF3XffqMlxcO77nv6+rZen9Bt+8rV7n3/dr6xOK1icVrG3lnTeKdtY3Zz4l31jSybpv/19+6ru2hV8cqeneMzLZTZturY9CrY9CuDc+v1ty+X1+f+Mu8jfxxzkZWb5ZD7tUlOGVge4b2qTYwKyHlPu61ZfZ9ZbLfK1c59f2FF17IrFmzZqSUNp+Pf5sK8sRZRDQAd6SUzizE9bbhu8DhwIdTSmubeU4vMsHaJgn4MXB5c0IzgJRSiojTsvf/D+DAJrsfBG5rTmgmSa3p7wvruem59WyaK71re/jaEbXs07VynmqRCqlju6BvXdC37oMrb6aUWL2RTKi2tkmo1iRg27j55A6bWbEBVmxo5LXlAO//MSKAHrWRDdE2hWtB706ZYK1nbVBVpLDpjZWNzHgT1jVA904bOXCXavbc7N/RhobEQ/Prufe1DazYbPKM3ToHnxnQnhG7VRfte5AkSWqOQs1xthJ4vUDX2qKIGAFcDlydUnqyueellF7OnB7VZFb/PAX4AfDhiDgppfTB2YA/eO9a4BYyK3J+mcy8ZmvILBhwLfBoRJyeUrqnGfXkTTgjYnpdXd3QY445pnnfWBv28MMPA1AO34uaz34vrsl/f50bnnuBTb8O2LN7R24dO5J+vTq3+r3t+8pl329ZSol3Vq3PrQK6aV61+dm51t5ctpb6raxckIAl6xJL1iVmLv1gAteuKtije8cmc6x1zM2z1rdHJ3rXdSj4U1yPz17MNQ/OYuqcJcCmoCyTio3o15NLjxvI8H17csdT87nur7NYtFlitnfPTlx63EBOPmwP2lV/MIxUaXDcVy77vjLZ75WrnPq+JU/NFSo4e5r3P4FVcNlXNCcDM8k88bXdsk+EzQOuiYhFwO1kArSLm3H6N4HTgUtTSjc0ab8v+yTaM8A1ZAI1SdppUkpc99fZXP3nmbm2gX26MPn8kezWrbaIlUmVLSLoU1dLn7pahu3zwRVBGxoTb61Y995qoNlQbUE2aFu4Yh1bey6+vjExb8ma7Kq5735gf4d2VZnVQDebV23TP3fvVLNdwdod0+bxrbue3+IqpVPnLOHscVPo1rGGZWvf/07mHt1q+bfjBnLasL2oMTCTJEklpFDB2VXA/0bE8SmlPxfompvrAgzK/vO6Lfygd1NE3ERm0YCvbON692W3xzTz/psWAHho8x0ppWcjYgmwT0TsklL64E+vktQKGhsT/3XvS9z8+Jxc26F9uzPx3OH06Ny+iJVJ2pbqqmDP7h3Zs3vHvPs31Dfy5rL3rwI6f9NCBkvWsnjV1lcEXV/fyGvvrOa1d/KvCNqlQ7v3rQK6V49O9O3x3lNrdU1WBH189uKthmabJHhfaNanrgNfPnYAnx/Rlw7tfGVckiSVnkIFZ32A+8k8fXU3MA14i8zPT++TUrplB++xHhi/hX1Dycx79jfgFaA5r3Humd3Wb/Wo93TIbntvviMiOgBdsx83bL5fklpDfUMj3/jtc9w1441c24cH9OKGUcPo3KFQf7xLKpb27arYt1dn9t3C69ZrNzS89wpodhXQ+UvWsmBZZrt87dZXBF21vp6X31rJy2+tzLu/e6ea3NNqT89bts3QrKl2VcE3TzyAsz+0D7U1BmaSJKl0FepvVhPJhGRBZtXJU7PtTX/EiuznHQrOsgsBjM23L7uq5uHApKarakbESOD5lNKazY7vQua1SoB7N9vXDdgdWJ5SWthk12PAwcDlEfF4Sqnpr3mvIPPvclpKKf9Pn5JUQOs2NnDxbU/zl5cW5do+OWQ3/ueMw3yqQ6oQHdtXM3DXOgbumn/OjhXrNrJgyXuh2oImT6vNX7qGNRu2vqbRsjUbWbZmOc+/sXy7a6tvTHx0UG9DM0mSVPIKFZyNKdB1Cu1bwDER8QiZuc3WAH3JTPDfHXgCuHKzc04BJgCTgHObtP8Q+DRwHPByRNwPrCWzOMCI7D9f2krfhyTlrFi3kQsmPcWUOe+ta/L54X354SlDqK5ydTpJGV1razhwjxoO3KPrB/allFi6ZuP7FitYsDT7Kmg2ZNvQsI0lQbfh8dmLGbSFUE+SJKlUFCQ4SylNKsR1WsFNwGpgOJm5zDoBS4HpwJ3AzSmlZr2qmVJ6IyKGApcBJ5EJC6uAhWSeuLsqu3qnJLWaxavWM/rmqbz45opc20VH9+eyE/Yv+Op5kspXRNCzc3t6dm7PoX27f2B/Y+OmFUHXMP5vc7jvhbe2+x6r1jV3NgxJkqS2qywmwUkpXUHmdcnN2+9ls1cxm3GtiWSCsHz73gG+nv2SpJ1qwdI1nDN+Kq8tfm+i72+deABfPLp/EauSVI6qqoJdu9aya9dann9j+Q4FZ11qy+LHTEmSVOEK+hNNRPQGPgsMBjqnlMY2ae9HZr6xtYW8pyRVgtlvr2TU+KksXL4OgKqAK08dwhnD9y5yZZLK3VEDeu3U8yRJktqSqkJdKCLOB+YC/x/wb7x/3rNdyax0eWah7idJleLZ+cs4/RdP5kKz9tVVXH/WUEMzSTvFoF3rGNGv53adM7JfT+c3kyRJZaEgwVlEHA/cCMwkM7n+z5vuTym9ALwIfKYQ95OkSvH47MWcedPfWbpmIwCd2lczYcxwTjh49yJXJqmSXHrcQJq79khVwCXHDWzdgiRJknaSQj1xdhmZSfKPTin9Hng7zzHPAQcW6H6SVPbuf2EhYyZMY/WGBgB6dKrhtgs+5OtPkna6owb04spTh2wzPKsK+NGph/jnlCRJKhuFmuPsCOBXKaUVWzlmAbBbge4nSWXtzmnz+eZdz9GYMp9361rLrWNHMKCPrz5JKo4zhu/NXj06ce2Ds5gyZ8kH9o/s15NLjhtoaCZJkspKoYKz9sDqbRzTHWgo0P0kqWzd+Oir/N8/vpz73K9XZyafP4K9enQqYlWSlHny7KgBvZi5aCWT7vs7axsSQw7IhGXOaSZJkspRoYKzucCwbRwzEnilQPeTpLKTUuKq+1/hF4+8mms7aI+uTDpvBL26dChiZZL0foN2reP4fWsAOOaofkWuRpIkqfUUao6ze4CPRMTp+XZGxBjgEOC3BbqfJJWVhsbE5b97/n2h2Yh+Pbn9wg8ZmkmSJElSkRTqibP/Bj4P3B4RpwHdACLiYuAjwKnALOBnBbqfJJWN9fUN/Psdz/DH59/KtX18cB+uO3MotTXVRaxMkiRJkipbQYKzlNLSiDgauAVo+tTZtdntY8CZKaVtzYMmSRVl9fp6Lrp1Oo/NWpxrO/XwPbnqtEOoqS7UQ8GSJEmSpB1RqCfOSCnNA46JiEOAI4FdgOXA31NK0wt1H0kqF0tXb2DMxGk8M39Zru28o/rxnZMGU1UVxStMkiRJkgQUMDjbJKX0HPBcoa8rSeXkreXrGDV+CrPeXpVr+9rxg7j4YwOIMDSTJEmSpLagIO8BRcRVETG4ENeSpHI3Z/FqPvvzJ3KhWQT858kH8W/HDTQ0kyRJkqQ2pFAT6Pwf4IWImBoRX46IngW6riSVlRffXM7pv3iCN5atBaBdVfDTMw5j1JH7FrcwSZIkSdIHFCo4OxP4E3A4mQUB3oyI30TEpyPCJeEkCZg6Zwmfv+HvLF61AYDamipuGn0EJx+2Z5ErkyRJkiTlU5DgLKX0q5TSJ4G9gMuAWcCpwN1kQrSfRMRhhbiXJJWiv768iFHjp7ByfT0AXWvbcev5Izl2/z5FrkySJEmStCWFeuIMgJTSopTSj1NKQ4BhwHVAAF8BpkfEM4W8nySVgruffoMLbpnO+vpGAHrXdeCOLx7JEfv6VrskSZIktWUFDc6aSik9nVK6FNiDzBxo9cCQ1rqfJLVFEx+fw1fueIaGxgRA354d+c1FRzJ4965FrkySJEmStC3tWuvCEdENOAMYDXyIzJNny1vrfpLUlqSU+OlfZnHNg7NybfvvWsct549g1661RaxMkiRJktRcBQ3OIqIK+GcyYdm/AB2ABDwITALuKuT9JKktamxMfP9/X2TSk6/n2obu3Z0J546gW6eaIlYmSZIkSdoeBQnOImIIcA5wFrArmafLZgK3ALeklBYU4j6S1NZtbGjk679+lnueeTPX9tFBvfnF2UPp1L7VHvKVJEmSJLWCQv0t7tnsdjkwDpiYUnqyQNeWpJKwdkMDX75tBn99+e1c26cO2Z2ffO4w2rdrtSklJUmSJEmtpFDB2Z+BCcDvUkrr8x2QfY3z0ymlewp0T0lqM5av3cjYSdOYNndpru2skXvzg5MPproqiliZJEmSJGlHFSQ4Syn985b2RcQ+wFhgDLA7UF2Ie0pSW/H2ynWMvnkaLy1ckWu7+NgBfO0Tg4gwNJMkSZKkUtUqE+5ERDVwMnAh8HGgiswiAX9pjftJUrHMX7KGs8dP4fV31+TavnPSYMZ+ZL8iViVJkiRJKoRCr6q5H5mny84ls0gAwGLgBmB8Sun1LZwqSSXnlbdWcs7NU1i0IvOGenVVcNVnD+G0YXsVuTJJkiRJUiG0ODiLiHbAKWSeLjuWzNNlG4C7gM8C96SUvtvS+0hSWzJj3lLGTJjG8rUbAWjfrorrvnA4nzhotyJXJkmSJEkqlB0OziJiIHABMBroBQQwA5gI3JZSWhIRjYUoUpLaksdmvcOFt0xn7cYGALp0aMdN5xzBkf13KXJlkiRJkqRCaskTZ6+QmbfsbeB/gAkppRcLUpUktVH3PreQr9zxNBsbEgA9O7dn0pgRDNmrW5ErkyRJkiQVWktf1UzAH4HfGJpJKne3TZnHt+9+npTJzNijWy2Tx46kf+8uxS1MkiRJktQqqlpw7n8ArwNjgMcj4h8R8Y2I2L0wpUlS25BS4vqHZ3P5794Lzfr37sxvvvRPhmaSJEmSVMZ2ODhLKf0wpdQfOBH4HdAf+BEwLyLujYjPFahGSSqalBJX3vcy/33/K7m2Q/bqxq8v+if26N6xiJVJkiRJklpbS544AyCl9KeU0mlAX+ByMk+hnQjcTuZVzsMiYlhL7yNJO1t9QyOX/fY5bnz0tVzbkfvtwm0XfIiendsXsTJJkiRJ0s7Q4uBsk5TS2ymlH6WUBgDHA78BNgJHAFMj4umI+HKh7idJrWndxga+fNsM7nxqQa7tEwfuyoQxw+nSoaXTQ0qSJEmSSkHBgrOmUkoPppTOAPYCvgHMBA4Frm2N+0lSIa1aX895E6fxpxcX5dpOH7YX1581lNqa6iJWJkmSJEnamVolONskpbQ4pfTjlNJg4GNkXt+UpDZryeoNnHnT33ni1XdzbRd8pB//fdohtKtu1T8yJUmSJEltzE573yil9DDw8M66nyRtrzeXrWXU+Cm8+s7qXNs3TtifLx3dn4goYmWSJEmSpGJwoh5JAl59ZxWjxk3hzeXrAIiAH35mCGeO3LvIlUmSJEmSisXgTFLFe+GN5Zxz81SWrN4AQE118NMzDuekQ3YvcmWSJEmSpGIyOJNU0Z589V0uuOUpVq2vB6BjTTU3jBrGRwf1LnJlkiRJkqRiMziTVLEeePEtLr79aTbUNwLQrWMNE8YMZ+jePYpcmSRJkiSpLTA4k1SRfjN9AZf99jkaGhMAfeo6MPn8key/W12RK5MkSZIktRUGZ5IqzrjHXuO/7n0p93mfXTpx6/kj6duzUxGrkiRJkiS1NQZnkipGSomrH5jJdQ/NzrUN3r0rk84bTp+62iJWJkmSJElqiwzOJFWEhsbEd+95gV9OmZdrG75vD8aNHk63jjVFrEySJEmS1FYZnEkqexvqG/nqnc/wh+cW5tqO3b831581jI7tq4tYmSRJkiSpLTM4k1TW1myo56JbZ/DozHdybScftgc/Pv1QaqqriliZJEmSJKmtMziTVLaWr9nImIlTmTFvWa5t9JH78L1PH0RVVRSvMEmSJElSSTA4k1SW3l6xjlHjp/LKopW5tkuPG8hXPj6QCEMzSZIkSdK2GZxJKjuvv7uas8dPYf6Stbm27336QMYc1a+IVUmSJEmSSo3BmaSy8tLCFZxz81TeWbkegOqq4MenH8Iph+9V5MokSZIkSaXG4ExS2Xhq7hLOmziNFevqAejQrorrzxrKcYN3LXJlkiRJkqRSZHAmqSw8/MrbXHTrdNZtbASgrkM7xo0+gpH77VLkyiRJkiRJpcrgTFLJ+/2zb/LVO56hvjEB0KtLeyaOGcHBe3YrcmWSJEmSpFJmcCappE3+++t8954XSJnMjD27d+TWsSPp16tzcQuTJEmSJJU8gzNJJSmlxHV/nc3Vf56ZaxvYpwuTzx/Jbt1qi1iZJEmSJKlcGJxJKjmNjYn/uvclbn58Tq7t0L7dmXjucHp0bl/EyiRJkiRJ5cTgTFJJ2djQyGW/fY67ZryRa/vwgF7cMGoYnTv4R5okSZIkqXD8W6akkrFuYwMX3zaDv7z0dq7tk0N243/OOIwO7aqLWJkkSZIkqRwZnEkqCSvWbeSCSU8xZc6SXNvnh/flh6cMoboqiliZJEmSJKlcGZxJavMWr1rP6Jun8uKbK3JtFx3dn8tO2J8IQzNJkiRJUuswOJPUpi1YuoZzxk/ltcWrc23fOvEAvnh0/yJWJUmSJEmqBAZnktqs2W+vZNT4qSxcvg6AqoArTx3CGcP3LnJlkiRJkqRKYHAmqU16Zv4yxkyYytI1GwFoX13FtV84jBMO3r3IlUmSJEmSKoXBmaQ25/HZi7nglqdYs6EBgM7tq7nxnCM4akCvIlcmSZIkSaokBmeS2pT7X1jIJbc/w4aGRgB6dKph4pgRHNq3e3ELkyRJkiRVHIMzSW3GHdPm8a27nqcxZT7v1rWWW8eOYECfuuIWJkmSJEmqSAZnktqEGx55lSvvezn3uV+vzkw+fwR79ehUxKokSZIkSZXM4ExSUaWUuOr+V/jFI6/m2g7aoyuTzhtBry4diliZJEmSJKnSGZxJKpqGxsS3f/c8v5o2P9c2ol9Pxo0+gq61NUWsTJIkSZIkgzNJRbK+voF/v+MZ/vj8W7m2jw/uw3VnDqW2prqIlUmSJEmSlGFwJmmnW72+notunc5jsxbn2k49fE+uOu0QaqqriliZJEmSJEnvMTiTtFMtXb2BcydO49n5y3Jt5x3Vj++cNJiqqiheYZIkSZIkbcbgTNJO89bydYwaP4VZb6/KtX3t+EFc/LEBRBiaSZIkSZLaFoMzSTvFnMWrOXvcFN5YthaACPjBvxzEqCP3LW5hkiRJkiRtgcGZpFb34pvLGX3zVBav2gBAu6rg6s8dysmH7VnkyiRJkiRJ2jKDM0mtauqcJZw/cRor19cDUFtTxc/PHsax+/cpcmWSJEmSJG2dwZmkVvPgS4v411/OYH19IwBda9tx87nDOWLfnkWuTJIkSZKkbTM4k9Qq7n76Db7262dpaEwA9K7rwC3njWDw7l2LXJkkSZIkSc1jcCap4CY+Pocr/vcfuc99e3bk1vNHss8unYtYlSRJkiRJ28fgTFLBpJS4e/ZG7nn1vdBs/13ruOX8EezatbaIlUmSJEmStP0MziQVRGNj4taXNvDgvPpc29C9uzPh3BF061RTxMokSZIkSdoxBmeSWmxjQyNf//Wz7wvNPjqoN784eyid2vvHjCRJkiSpNFUVu4CWiohREZGyX2M329c3Iq6PiCkR8VZErI+INyPisYgYExHNfgwmIiY2uc+Wvh4s/HcotW1rNzRw4S1Pcc8zb+baPnXI7ow75whDM0mSJElSSSvpv9VGRF/gZ8AqoEueQ/oDZwFTgLuBJcAuwInAzcA5EXF8Sqk+z7mbuxuYu4V9o4D9gPuaX71U+pav3cjYSdOYNndpru3Yvu245vOHU10VRaxMkiRJkqSWK9ngLCICmAC8C9wFfD3PYU8APVJKjZudWwM8ABwDnArcua37pZTuJhOebV5Hd+AbwAZgYrO/AanEvb1yHaNvnsZLC1fk2j69Xw2nDqwxNJMkSZIklYVSflXzEuBjwBhgdb4DUkobNg/Nsu0beS8EG9jCOkYBHYG7UkqLW3gtqSTMX7KG03/x5PtCs++cNJjPDmpPJtOWJEmSJKn0lWRwFhGDgR8B16SUHt2B86uBT2Y/PtfCci7Ibm9s4XWkkvDKWyv57M+f4PV31wBQXRX8+PRDGfuR/YpcmSRJkiRJhVVyr2pGRDtgMjAPuLyZ5/QCLgYC6A0cDwwAbgP+0IJajgSGADNTSg/t6HWkUjFj3lLGTJjG8rUbAWjfrorrvnA4nzhotyJXJkmSJElS4UVKqdg1bJeI+AHwbeDDKaUns21XAN8DLkgpjctzzgHAS02aEnA1cHn2tc0drWUCcC7wf1JKP96O86ZvYdcBAwcO7HTjjaX/8NrKlSsBqKurK3IlKpQXFtdz7dPr2dCQ+VxbDZcOrWXwLtW5Y+z3ymXfVy77vnLZ95XLvq9c9n1lst8rVzn1/YUXXsisWbNmpJSGbe+5JfWqZkSMIPOU2dWbQrPmSCm9nFIKMk/Y7QP8O3Ah8GhE9NzBWroBn8NFAVQBpr5Vz/9Mfy80q6uBb454f2gmSZIkSVK5KZlXNZu8ojkT+I8duUZKqYHMK57XRMQi4HbgB2Re49xeZwOdgF9t76IAW0o4I2J6XV3d0GOOOWYHymlbHn74YQDK4XupdLdNmcfPn32eTQ+n7tGtlsljR9K/d5cPHGu/Vy77vnLZ95XLvq9c9n3lsu8rk/1eucqp71vy1FzJBGdAF2BQ9p/XbWHlvpsi4iYyiwZ8ZRvXuy+7PWYH69m0KMANO3i+1KallLj+4Vf5f396JdfWv3dnJp8/kj26dyxiZZIkSZIk7RylFJytB8ZvYd9Q4HDgb8ArQHNe49wzu63f3kIiYiRwKJlFAR7e3vOlti6lxP/940vc9NicXNshe3Vj4pgR9OzcvoiVSZIkSZK085RMcJZSWguMzbcvuzjA4cCkposDZAOu51NKazY7vgtwTfbjvZvt6wbsDixPKS3cQjkXZrelP4u/tJn6hka+ddfz/Hr6glzbkfvtwk2jj6BLh5L5I0OSJEmSpBYr978Ffws4JiIeITO32RqgL3Ai0B14Arhys3NOASYAk8ismPk+EdEVOIPMogCTWqluqSjWbWzgktuf5oF/LMq1feLAXbn2C4dTW+NCAJIkSZKkylLuwdlNwGpgOJm5zDoBS4HpwJ3AzSml7X1V8yygMzuwKIDUlq1aX8+FtzzFE6++m2s7fdheXHnqENpVl9QCvJIkSZIkFURZBGcppSuAK/K038tmr2I241oTgYlb2f9z4Ofbc02prXt31XrGTJzGcwuW59ou+Eg/Lv/kYLawEIckSZIkSWWvLIIzSTvuzWVrGTV+Cq++szrX9o0T9udLR/c3NJMkSZIkVTSDM6mCvfrOKkaNm8Kby9cBEAE//MwQzhy5d5ErkyRJkiSp+AzOpAr1/ILljJ4wlSWrNwBQUx389IzDOemQ3YtcmSRJkiRJbYPBmVSBnnz1XS645SlWrc+sjdGxppobRg3jo4N6F7kySZIkSZLaDoMzqcI88OJbXHz702yobwSgW8caJowZztC9exS5MkmSJEmS2haDM6mC/Gb6Ai777XM0NCYA+tR1YPL5I9l/t7oiVyZJkiRJUttjcCZViHGPvcZ/3ftS7vM+u3Ti1vNH0rdnpyJWJUmSJElS22VwJpW5lBJXPzCT6x6anWsbvHtXJp03nD51tUWsTJIkSZKkts3gTCpjDY2J797zAr+cMi/XNnzfHowbPZxuHWuKWJkkSZIkSW2fwZlUpjbUN/LVO5/hD88tzLUdu39vrj9rGB3bVxexMkmSJEmSSoPBmVSG1myo56JbZ/DozHdybScftgc/Pv1QaqqriliZJEmSJEmlw+BMKjPL1mzgvInTmDFvWa5t9JH78L1PH0RVVRSvMEmSJEmSSozBmVRG3l6xjlHjp/LKopW5tkuPG8hXPj6QCEMzSZIkSZK2h8GZVCZef3c1Z4+fwvwla3Nt3/v0gYw5ql8Rq5IkSZIkqXQZnEll4KWFKzjn5qm8s3I9ANVVwdWnH8pnDt+zyJVJkiRJklS6DM6kEvfU3CWMmTiNlevqAejQrorrzxrKcYN3LXJlkiRJkiSVNoMzqYQ99MrbfOnW6azb2AhAXYd2jBt9BCP326XIlUmSJEmSVPoMzqQSdc8zb/C1O5+lvjEB0KtLeyaOGcHBe3YrcmWSJEmSJJUHgzOpBE1+ci7f/f2LpExmxp7dO3Lr2JH069W5uIVJkiRJklRGDM6kEpJS4md/nc1P/jwz1zawTxcmnz+S3brVFrEySZIkSZLKj8GZVCIaGxP/ee8/mPD43FzboX27M/Hc4fTo3L54hUmSJEmSVKYMzqQSsLGhkct++xx3zXgj1/bhAb24YdQwOndwGEuSJEmS1Br8G7fUxq3b2MDFt83gLy+9nWv75JDd+J8zDqNDu+oiViZJkiRJUnkzOJPasBXrNjJ20lNMnbMk1/b54X354SlDqK6KIlYmSZIkSVL5MziT2qjFq9Yz+uapvPjmilzbRUf357IT9ifC0EySJEmSpNZmcCa1QQuWrmHU+KnMWbw61/atEw/gi0f3L2JVkiRJkiRVFoMzqY2ZtWglo8ZP5a0V6wCoCrjy1CGcMXzvIlcmSZIkSVJlMTiT2pBn5i9jzISpLF2zEYD21VVc+4XDOOHg3YtcmSRJkiRJlcfgTGojHp+9mAtueYo1GxoA6Ny+mhvPOYKjBvQqcmWSJEmSJFUmgzOpDbj/hYVccvszbGhoBKBHpxomjhnBoX27F7cwSZIkSZIqmMGZVGR3TJvHt+56nsaU+bxb11puHTuCAX3qiluYJEmSJEkVzuBMKqIbHnmVK+97Ofd5v16dueX8EezVo1MRq5IkSZIkSWBwJhVFSomr7n+FXzzyaq7toD26Mum8EfTq0qGIlUmSJEmSpE0MzqSdrKEx8e3fPc+vps3PtY3o15Nxo4+ga21NESuTJEmSJElNGZxJO9H6+ga+8qtnuO+Ft3JtHx/ch+vOHEptTXURK5MkSZIkSZszOJN2ktXr6/ni5On8bfbiXNuph+/JVacdQk11VRErkyRJkiRJ+RicSTvB0tUbOHfiNJ6dvyzXdt5R/fjOSYOpqoriFSZJkiRJkrbI4ExqZW8tX8eo8VOY9faqXNvXjh/ExR8bQIShmSRJkiRJbZXBmdSK5ixezdnjpvDGsrUARMAP/uUgRh25b3ELkyRJkiRJ22RwJrWSF95YzrkTprJ41QYA2lUFV3/uUE4+bM8iVyZJkiRJkprD4ExqBVNee5exk55i5fp6AGprqvj52cM4dv8+Ra5MkiRJkiQ1l8GZVGAPvrSIf/3lDNbXNwLQtbYdN587nCP27VnkyiRJkiRJ0vYwOJMK6HdPL+Drv36OhsYEQO+6Dtxy3ggG7961yJVJkiRJkqTtZXAmFciEx+fw/f/9R+5z354dufX8keyzS+ciViVJkiRJknaUwZnUQiklfvqXWVzz4Kxc2/671nHL+SPYtWttESuTJEmSJEktYXAmtUBjY+L7//sik558Pdc2dO/uTDh3BN061RSxMkmSJEmS1FIGZ9IO2tjQyNd//Sz3PPNmru2jg3rzi7OH0qm9Q0uSJEmSpFLn3+6lHbB2QwP/+svpPPTKO7m2Tx2yOz/53GG0b1dVxMokSZIkSVKhGJxJ22n52o2MnTSNaXOX5trOGrk3Pzj5YKqrooiVSZIkSZKkQjI4k7bD2yvXMfrmaby0cEWu7d8+NoCvHj+ICEMzSZIkSZLKicGZ1Ezzl6zh7PFTeP3dNbm275w0mLEf2a+IVUmSJEmSpNZicCY1wytvrWTU+Cm8vXI9ANVVwVWfPYTThu1V5MokSZIkSVJrMTiTtmHGvKWMmTCN5Ws3AtC+XRXXfeFwPnHQbkWuTJIkSZIktSaDM2krHp35Dl+cPJ21GxsA6NKhHTedcwRH9t+lyJVJkiRJkqTWZnAmbcEfnnuTf7/jGTY2JAB6dm7PpDEjGLJXtyJXJkmSJEmSdgaDMymP26bM49t3P0/KZGbs0a2WyWNH0r93l+IWJkmSJEmSdhqDM6mJlBLXP/wq/+9Pr+Ta+vfuzOTzR7JH945FrEySJEmSJO1sBmdSVkqJ//vHl7jpsTm5tkP26sbEMSPo2bl9ESuTJEmSJEnFYHAmAfUNjXzrruf59fQFubYj99uFm0YfQZcODhNJkiRJkiqRiYAq3rqNDVxy+9M88I9FubZPHLgr137hcGprqotYmSRJkiRJKiaDM1W0les2cuEt03nytXdzbacP24srTx1Cu+qqIlYmSZIkSZKKzeBMFevdVes5d8I0nn9jea7tgo/04/JPDiYiiliZJEmSJElqCwzOVJHeXLaWs8dP4bV3VufavnHC/nzp6P6GZpIkSZIkCTA4UwV69Z1VjBo3hTeXrwMgAn74mSGcOXLvIlcmSZIkSZLaEoMzVZTnFyxn9ISpLFm9AYCa6uCnZxzOSYfsXuTKJEmSJElSW2Nwporx5KvvcsEtT7FqfT0AHWuquWHUMD46qHeRK5MkSZIkSW2RwZkqwgMvvsXFtz/NhvpGALp1rGHCmOEM3btHkSuTJEmSJEltlcGZyt5vpi/gst8+R0NjAqBPXQcmnz+S/XerK3JlkiRJkiSpLTM4U1kb99hr/Ne9L+U+77NLJ249fyR9e3YqYlWSJEmSJKkUGJypLKWUuPqBmVz30Oxc2+DduzLpvOH0qastYmWSJEmSJKlUGJyp7DQ0Jr57zwv8csq8XNvwfXswbvRwunWsKWJlkiRJkiSplBicqaxsqG/kq3c+wx+eW5hrO3b/3lx/1jA6tq8uYmWSJEmSJKnUGJypbKzZUM9Ft87g0Znv5NpOPmwPfnz6odRUVxWxMkmSJEmSVIoMzlQWlq3ZwHkTpzFj3rJc2+gj9+F7nz6IqqooXmGSJEmSJKlkGZyp5C1asY5zxk/llUUrc22XHjeQr3x8IBGGZpIkSZIkaccYnKmkvf7uas4eP4X5S9bm2r736QMZc1S/IlYlSZIkSZLKgcGZStZLC1dwzs1TeWflegCqq4KrTz+Uzxy+Z5ErkyRJkiRJ5cDgTCXpqblLGDNxGivX1QPQoV0V1581lOMG71rkyiRJkiRJUrkwOFPJeeiVt/nSrdNZt7ERgLoO7Rg3+ghG7rdLkSuTJEmSJEnlxOBMJeWeZ97ga3c+S31jAqBXl/ZMOm8EB+3RrciVSZIkSZKkcmNwppIx+cm5fPf3L5IymRl7du/IrWNH0q9X5+IWJkmSJEmSypLBmdq8lBI/++tsfvLnmbm2gX26MPn8kezWrbaIlUmSJEmSpHJmcKY2rbEx8Z/3/oMJj8/NtR3atzsTzx1Oj87ti1eYJEmSJEkqewZnarM2NjRy2W+e466n38i1fXhAL24YNYzOHfxPV5IkSZIkta6qYhfQUhExKiJS9mvsZvv6RsT1ETElIt6KiPUR8WZEPBYRYyKiZgfuFxExOiIejoglEbE2IuZExJ0RMahw31llW7exgS/dOv19odknh+zG+HOPMDSTJEmSJEk7RUknEBHRF/gZsArokueQ/sBZwBTgbmAJsAtwInAzcE5EHJ9Sqm/m/WqBXwOfAl4BbgNWAnsAHwEGATO3eAE1y4p1Gxk76SmmzlmSa/v88L788JQhVFdFESuTJEmSJEmVpGSDs4gIYALwLnAX8PU8hz0B9EgpNW52bg3wAHAMcCpwZzNvezWZ0OxK4DtbuK5aYPGq9Yy+eSovvrki13bR0f257IT9yXS5JEmSJEnSzlHKr2peAnwMGAOszndASmnD5uFWtn0jmSfQAAY252YR0R+4CJgGfHsr19UOWrB0Daf/4sn3hWbfOvEAvnniAYZmkiRJkiRppyvJJ84iYjDwI+CalNKjEfGx7Ty/Gvhk9uNzzTztC2SCxklA14j4NNCXzBNvf00pzd6eGvR+sxatZNT4qby1Yh0AVQFXnjqEM4bvXeTKJEmSJElSpSq54Cwi2gGTgXnA5c08pxdwMRBAb+B4YACZOcr+0MxbD89uuwGvkpkrbZMUET8HLkkpNTTzesp6Zv4yzp0wlWVrMg/sta+u4tovHMYJB+9e5MokSZIkSVIli5RSsWvYLhHxA+DbwIdTSk9m264AvgdckFIal+ecA4CXmjQlMvOVXd7c1ysj4kngQ0AD8Bcyc6rNBUYAN5AJ4r6fUrqiGdeavoVdBwwcOLDTjTfe2JyS2rSVK1cCUFdXt9Xj/vFuA9fMWMf6bNxYWw2XDK3lwF2qW7tEtYLm9rvKj31fuez7ymXfVy77vnLZ95XJfq9c5dT3F154IbNmzZqRUhq2veeW1BxnETGCzFNmV28KzZojpfRySinIPGG3D/DvwIXAoxHRs5mX2ZTkLAROSSm9kFJalVL6K3Aa0Ah8NSLaN7euSvfUW/X85Kn3QrMuNfCNEYZmkiRJkiSpbSiZVzWbvKI5E/iPHblG9jXKecA1EbEIuB34AZnXOLdlaXZ7f0pp7WbXfTYi5gD9gcHAs9uoI2/CGRHT6+rqhh5zzDHNKKdte/jhhwHY0vdyx7R5XP/s8zRmH3jcrWstt44dwYA+pZ9kV7Jt9bvKl31fuez7ymXfVy77vnLZ95XJfq9c5dT3LXlqrpSeOOsCDCITTK2LiLTpi8xrmgA3Zdt+2ozr3ZfdHtPM+7+S3S7bwv5NwVrHZl6vYt3wyKtc9tv3QrP9enXmN1860tBMkiRJkiS1KSXzxBmwHhi/hX1DgcOBv5EJuJrzGuee2W19M+//IPBvwMGb74iIDsDA7Me5zbxexUkp8aP7X+aGR17LtR20R1cmnTeCXl06FLEySZIkSZKkDyqZ4Cz7euTYfPuyiwMcDkxqujhARIwEnk8prdns+C7ANdmP9262rxuwO7A8pbSwya77gNeAf46I41NKf26y7z/IrLb5SErprR349srKzEUr+fPcjaxtSMypmcNRA3rRv3cXvv275/nVtPm540b068m40UfQtbamiNVKkiRJkiTlVzLB2Q76FnBMRDxCZm6zNUBf4ESgO/AEcOVm55wCTAAmAeduakwpbYiI0cADwH0R8TvgdWA48FHgHTILDlSsx2cv5poHZzF1zpJc212z/gFAj041LF3z3gKmHx+8K9edeTi1NS4EIEmSJEmS2qZyD85uAlaTCbeOATqRmYtsOnAncHNKqbmvapJS+ltEHEFmTrVjyYRvi4Abgf9MKS0oZPGl5I5p8/jWXe/NW7a5pqHZqUP35L8/ewjtqktpij1JkiRJklRpyiI4SyldAVyRp/1eNnsVsxnXmghM3Mr+fwBnbM81y93jsxdvNTRrKoBTDtvT0EySJEmSJLV5phdqsWsenNWs0AwgAdc9NLtV65EkSZIkSSoEgzO1yMxFK983p1lzTJmzhJmLVrZSRZIkSZIkSYVhcKYWeXz24p16niRJkiRJ0s5icKYWWbWu2WsrFOQ8SZIkSZKkncXgTC3SpXbH1pfY0fMkSZIkSZJ2FoMztchRA3rt1PMkSZIkSZJ2FoMztcigXesY0a/ndp0zsl9PBu1a10oVSZIkSZIkFYbBmVrs0uMGUhXNO7Yq4JLjBrZuQZIkSZIkSQVgcKYWO2pAL648dcg2w7OqgB+deoivaUqSJEmSpJLgDO0qiDOG781ePTpx7YOzmDJnyQf2j+zXk0uOG2hoJkmSJEmSSobBmQrmqAG9OGpAL2YuWsmk+/7O2obEkAMyYZlzmkmSJEmSpFJjcKaCG7RrHcfvWwPAMUf1K3I1kiRJkiRJO8Y5ziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPCKlVOwalBUR73bs2LHn4MGDi11Ki61cuRKAurq6Ileincl+r1z2feWy7yuXfV+57PvKZd9XJvu9cpVT37/00kusXbt2SUppl+091+CsDYmIOUBXYG6RSymEA7Lbl4tahXY2+71y2feVy76vXPZ95bLvK5d9X5ns98pVTn2/L7AipdRve080OFOriIjpACmlYcWuRTuP/V657PvKZd9XLvu+ctn3lcu+r0z2e+Wy7zOc40ySJEmSJEnKw+BMkiRJkiRJysPgTJIkSZIkScrD4EySJEmSJEnKw+BMkiRJkiRJysNVNSVJkiRJkqQ8fOJMkiRJkiRJysPgTJIkSZIkScrD4EySJEmSJEnKw+BMkiRJkiRJysPgTJIkSZIkScrD4EySJEmSJEnKw+BMkiRJkiRJysPgTDskIkZFRMp+jd3Oc/eKiJsj4s2IWB8RcyPipxHRo7XqVeHsaN9n+zlt4eut1qxZ26+Q/eWYLy2F6nvHfGmKiI9ExG8jYmF2vC6MiAci4pPbcQ3HfAlqad875ktLRJy7lf7a9NWwHddz3JeIQva94740RcRJ2T/fF0TE2oh4LSJ+HRFHbud1Kmbctyt2ASo9EdEX+BmwCuiynef2B54A+gD3AC8DI4BLgRMi4qiU0ruFrViF0pK+z1oO/DRP+6oWlKXW0+L+csyXrEKNVcd8CYmI7wD/CSwG/gAsBHoBhwPHAH9sxjUc8yWoEH2f5ZgvHc8A39/Cvo8AHwPua86FHPcl5xkK1PdZjvsSEhFXAd8A3gXuJvPn/gDgZOCzEXFOSunWZlynosZ9pJSKXYNKSEQE8GegH3AX8HXggpTSuGae/yfgE8AlKaWfNWn/CfDvwA0ppYsKXrharAB9PxcgpbRvK5WoAipUfznmS08B+74g19HOERGnA3cCfwFOTSmt3Gx/TUppYzOu45gvMQXs+7ngmC8HEfEk8CHg5JTS75txvOO+TOxA388Fx32piIjdgDeAd4BDUkpvN9l3LPBXYE5Kab9mXKuixr3BmbZLRFwK/A+Z3z5+DPgezQxPImI/4FVgLtA/pdTYZF8dmd9uBtAnpbS64MWrRVrS99nz54L/Yy0Vhegvx3xpMjirPBFRBcwGdgX2TSm9s4PXccyXmEL1ffZac8ExX+oi4mDgeTJ/ud4npbTVV/Yc9+Vje/s+e85ccNyXiogYCfwd+H1K6eQ8+1eQyYjqtnGdihv3vqqpZouIwcCPgGtSSo9GxMe28xKbjn+g6eACSCmtjIjHyaTWHwIebHHBKpgC9P0mHSLibGBvYDXwHPBoc/7HrKJoaX855ktXocaqY740/BOZp4l/AyyNiJOAg4F1wNSU0pPNvI5jvvQUqu83ccyXvi9mt+Ob2W+O+/KxvX2/ieO+dMwCNgAjIqJXSmnxph0R8VGgjszrm9tScePe4EzNEhHtgMnAPODyHbzM/tntzC3sn0VmgA2iTAZYOShQ32+yW/ZaTc2JiDEppUdaeG0VXkv7yzFfugo1Vh3zpWF4drsImAEMabozIh4FTmvG00iO+dJTqL7fxDFfwiKiI3A20Ag0640CHPdlYQf7fhPHfYlIKS2JiMuAnwD/iIi7ycx11h/4FzLT8nxxy1fIqbhx76qaaq7vkpkg9tyU0todvEa37Hb5FvZvau++g9dX6yhE3wNMAI4j8z/XzmR+OL8B2Be4LyIObWGdKqxC9JdjvjQVaqw65ktHn+z2IqAj8HEyv3U+GPgT8FHg1824jmO+9BSq78ExXw4+R2Z83pdSmt/Mcxz35WFH+h4c9yUnpfRT4FQyD1FdAHwTOB2YD0xsOu/ZVlTcuDc40zZFxAgyTxpdvQOP7G/XrbJbJ95rIwrZ9yml76eU/ppSWpRSWpNSeiE7YeRPyPywfkXLK1ah7KT+csy3QYXqe8d8SanOboPM00UPppRWpZReBE4BFgBHb+8y9Xk45tuegvW9Y74sXJjd3lDAazruS8MO9b3jvvRExDfIvJ4/kcyTZp2BYcBrwC8j4r8LcZvstmzGvcGZtqrJa3ozgf9o4eU2Jc/dtrC/62bHqYgK3Pdb84vs9qOteA8Vzvb0l2O+vBRqrDrm256l2e1rKaVnm+7IPmn8p+zHEdu4jmO+9BSq77fGMV8CIuJAMnPeLQD+uB2nOu5LXAv6fmsc921QRBwDXEVmcYCvppReywaeM8j8suQN4GvZyf+3puLGvcGZtqULmXeTBwPrIiJt+iKzqiLATdm2n27jWq9kt4O2sH9gdruld6W1cxWy77dm0+PAnVtwDe0829NfjvnyUqix6phvezaN1WVb2L8pXOnYzOs45ktHofp+axzzpWFHJ4Z33Je+He37rXHct02fym4f2nxHSmkNMJVMRnT4Nq5TcePexQG0LeuB8VvYN5TMoPobmcGzrVf5Ng3QT0REVZ5la48C1pJZIlfFV8i+35pNr3+81oJraOfZnv5yzJeXQo1Vx3zb8yhQDwyMiPYppQ2b7T84u527jes45ktPofp+axzzbVxE1AKjyEwMv6Wf/bbEcV/CWtj3W+O4b5s6ZLe9t7B/U/vm/y/YXMWNe58401allNamlMbm+wJ+nz1sUrbtDoCIqImIAyKi/2bXehV4gMxkkV/e7FbfJ/MbiVtSSqtb9ZtSsxSy7yPioIjoufk9ImIf4Lrsx1tb8/tR821vfznmy0eh+t4xX1qyy9HfQeaVi+823RcRxwP/TOZ1i/uzbY75MlGovnfMl7zTgR7AH7c0MbzjvmztcN877kvSY9nthRGxZ9MdEXEimcBrHfBEts1xnxUplc18bdrJIuIKMq/sXZBSGtekfV9gDvB6Smnfzc7pT2Yg9gHuAV4CRgLHknmU859SSu/uhPLVAtvb99njv0nmtxNzgJVkJqM8CaglM5/CKXl+060i2N7+csyXj0L1vWO+9EREH+BxYACZH6ynAvuQmfMkAWemlH6dPXZfHPNloxB975gvbRHxGPBh4F9SSv+7hWP2xXFfdlrS94770hMRVWTmrvw4mf76HfAWmal5PkVmUv+vpJSuyR6/L457wFc1tZOllF6NiCOAHwAnAJ8EFgLXAt9PKS0pZn1qNQ8B+5N5vfNIMr+FWEbmVc/JwORkit+WFKy/HPMlp1B975gvMSmltyNiJPAdMoHJh8j8UH0vcGVKqVmvWzjmS0+B+t4xX6IiYjCZ4GSHJ4Z33JemAvS9477EpJQaI+KTZJ4S+zyZP/M7AUvI/DdwbUrpgWZeq6LGvU+cSZIkSZIkSXk4x5kkSZIkSZKUh8GZJEmSJEmSlIfBmSRJkiRJkpSHwZkkSZIkSZKUh8GZJEmSJEmSlIfBmSRJkiRJkpSHwZkkSZIkSZKUh8GZJEmSJEmSlIfBmSRJkiRJkpSHwZkkSZIkSZKUh8GZJEmSJEmSlIfBmSRJktqEiJgbEXOLXYckSdImBmeSJEklLiJS9qsxIvpv5biHmhx77k4scdP9H46ItLPvK0mStKMMziRJkspDPRDA+fl2RsRA4OjscZIkSWoGgzNJkqTysAh4ChgTEe3y7B9LJlj7w06tSpIkqYQZnEmSJJWPm4DdgE81bYyIGmA08ATw4pZOjoiBEXFLRLwRERsi4s3s54F5jr0i+8rnMRFxWkRMjYg1EbEkIn4VEXs2OXbf7CuaR2c/pyZfD+e5dqeI+H8RMS8i1kfE7Ii4LCJiB/+9SJIk7ZB8v42UJElSabod+AmZp8vubtL+L8CuwDeBAflOjIjhwF+AOuD3wD+AA4CzgJMj4riU0lN5Tv3X7PV/DzwCjATOAA6NiMNSSuuBZcD3gXOBfbL/vMncza5XAzwA7AHcR+bV0s8APwJqNztXkiSpVUVKzs8qSZJUyrJPc72RUtorIsaRCaj2TSktyO6/HzgS2B24HPg2MCalNDG7P3gvKDs7pfTLJtc+A/gV8ApwYEqpMdt+BfA9YCVwVErp+Sbn3AZ8ATgjpXRnk/aHgaNTSnmfHMuuqLkPmcDssymltdn2PsDM7GG9U0obd+TfkyRJ0vbyVU1JkqTychNQDZwHEBH7AMcDv0wprdnCOf9EJjR7smloBpBSugP4G7A/8OE8517bNDRrUgPAiB36DuCSTaFZtoa3gXuAbtk6JEmSdgqDM0mSpDKSUpoCPA+cFxFVZF7brOK9MCufodntX7ewf1P74Xn25Xt9c35222Pr1ea1PKU0u8DXlCRJ2iEGZ5IkSeXnJjKvPJ4AjAGmp5Se3srx3bLbhVvYv6m9e559y/K01We31VutMr9812vpNSVJknaIwZkkSVL5mQysBW4A9gRu3Mbxy7Pb3bawf/fNjpMkSaoIBmeSJEllJqW0DPgNsBewmsxqm1uz6Wm0Y7awf1P7jBaW1gAQET41JkmSSoLBmSRJUnn6DnAK8M8ppZXbOPZxMqtmfjgiTmu6I/v5o2RWtfxbC2t6N7vdu4XXkSRJ2inaFbsASZIkFV5KaR4wr5nHpogYDfwZuCMi7gFeJrOC5WeAlcA5KaXGFpb1IHA6cFdE/JHM66Svp5Qmt/C6kiRJrcLgTJIkSaSUpkTEcDJPqn0c+DSwmMxrnv+ZUnqlALcZR2bRgs8D3yDzs+gjZOZkkyRJanMipVTsGiRJkiRJkqQ2xznOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8DM4kSZIkSZKkPAzOJEmSJEmSpDwMziRJkiRJkqQ8/n+7RRYwfXepbQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 386,
       "width": 615
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# # Visualizing trends in average prices over months\n",
    "# plt.figure(figsize=(10, 6))\n",
    "# plt.plot(avg_prices_month_pd[\"month\"], avg_prices_month_pd[\"avg_price\"], marker='o')\n",
    "# plt.title(\"Average Price of Clothing Items Over Months\")\n",
    "# plt.xlabel(\"Month\")\n",
    "# plt.ylabel(\"Average Price (US Dollars)\")\n",
    "# plt.grid(True)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "id": "cff2ddb2-5dd4-48cf-b61a-4dd892f62244",
   "metadata": {},
   "outputs": [],
   "source": [
    "#---------------------------------"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "id": "1d01f26f-0e57-4312-8bef-33c253d33bb2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# # Filter the dataset for each product category\n",
    "# import seaborn as sns\n",
    "\n",
    "# trousers_df = df.filter(df[\"page 1 (main category)\"] == 1)\n",
    "# skirts_df = df.filter(df[\"page 1 (main category)\"] == 2)\n",
    "# blouses_df = df.filter(df[\"page 1 (main category)\"] == 3)\n",
    "# sale_items_df = df.filter(df[\"page 1 (main category)\"] == 4)\n",
    "\n",
    "# # Calculate summary statistics for each category\n",
    "# trousers_summary = trousers_df.select(\"price\").summary().toPandas()\n",
    "# skirts_summary = skirts_df.select(\"price\").summary().toPandas()\n",
    "# blouses_summary = blouses_df.select(\"price\").summary().toPandas()\n",
    "# sale_items_summary = sale_items_df.select(\"price\").summary().toPandas()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "id": "08c90165-b9b9-4fe5-8467-966a5507abb7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Concatenate DataFrames\n",
    "# concatenated_df = trousers_df.union(skirts_df).union(blouses_df).union(sale_items_df)\n",
    "# concatenated_pd = concatenated_df.toPandas()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "b0206870-5fc3-4b93-a430-4d59e77a6d5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plotting with Seaborn\n",
    "# sns.set(style=\"whitegrid\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "id": "89abbd8f-9cbb-4e2a-978e-0b96de4812c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 720x432 with 0 Axes>"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='page 1 (main category)', ylabel='price'>"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Price Distribution Across Product Categories')"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Summary Statistic')"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Price (US Dollars)')"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 391,
       "width": 611
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Box plot for price distribution across different product categories\n",
    "# colors = [\"blue\", \"orange\", \"green\", \"red\"]\n",
    "# plt.figure(figsize=(10, 6))\n",
    "# sns.boxplot(data=concatenated_pd, x=\"page 1 (main category)\", y=\"price\", palette=colors)\n",
    "# plt.title(\"Price Distribution Across Product Categories\")\n",
    "# plt.xlabel(\"Summary Statistic\")\n",
    "# plt.ylabel(\"Price (US Dollars)\")\n",
    "# # plt.legend(labels=[\"Trousers\", \"Skirts\", \"Blouses\", \"Sale Items\"], title=\"Product Category\", loc=\"upper right\")\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "id": "a6af492a-380a-4156-8241-856f6bd1577a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "id": "4a154829-ce6b-4a1c-b14c-2bc273b72356",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+------+------------------+\n",
      "|colour|     average_price|\n",
      "+------+------------------+\n",
      "|    12|50.429218573046434|\n",
      "|     1|39.862170841361596|\n",
      "|    13|41.875933280381254|\n",
      "|     6|40.566491187914856|\n",
      "|     3|   49.280426535425|\n",
      "|     5|38.539292141571686|\n",
      "|     9| 40.48865567955066|\n",
      "|     4| 40.11588060785857|\n",
      "|     8| 30.24662162162162|\n",
      "|     7| 35.01425247236766|\n",
      "|    10|              52.0|\n",
      "|    11|48.944822373393805|\n",
      "|    14|40.053704749356925|\n",
      "|     2|46.987904851498456|\n",
      "+------+------------------+\n",
      "\n"
     ]
    }
   ],
   "source": [
    "\n",
    "# average_price_per_color = df.groupBy(\"colour\").agg(F.avg(\"price\").alias(\"average_price\"))\n",
    "# average_price_per_color.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "id": "e9c4f8f0-a8f6-4628-a09f-b764d8dd5901",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 720x432 with 0 Axes>"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 14 artists>"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Color')"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Average Price (US Dollars)')"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Average Price by Color')"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "(array([-2.,  0.,  2.,  4.,  6.,  8., 10., 12., 14., 16.]),\n",
       " [Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, '')])"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 398,
       "width": 611
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# colors = average_price_per_color.select(\"colour\").rdd.flatMap(lambda x: x).collect()\n",
    "# average_prices = average_price_per_color.select(\"average_price\").rdd.flatMap(lambda x: x).collect()\n",
    "\n",
    "# plt.figure(figsize=(10, 6))\n",
    "# plt.bar(colors, average_prices, color='skyblue')\n",
    "# plt.xlabel('Color')\n",
    "# plt.ylabel('Average Price (US Dollars)')\n",
    "# plt.title('Average Price by Color')\n",
    "# plt.xticks(rotation=45)\n",
    "# plt.grid(axis='y', linestyle='--', alpha=0.7)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "id": "d360ed15-d5ee-4b6d-a766-5426d29a4bb7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 576x576 with 0 Axes>"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "([<matplotlib.patches.Wedge at 0x7f92ea2864c0>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea286be0>],\n",
       " [Text(-0.6752609996115092, -0.8683447370737416, 'Yes'),\n",
       "  Text(0.675261080911808, 0.8683446738512403, 'No')],\n",
       " [Text(-0.3683241816062777, -0.47364258385840446, '51.2%'),\n",
       "  Text(0.3683242259518953, 0.47364254937340367, '48.8%')])"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Distribution of Price 2')"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "(-1.1103713936581676,\n",
       " 1.1284264082776048,\n",
       " -1.1104875237013025,\n",
       " 1.1232693829030849)"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 464,
       "width": 460
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The counts for each category of PRICE 2\n",
    "# price_2_counts = df.groupBy(\"price 2\").count().orderBy(\"price 2\").collect()\n",
    "# price_2_values = [row[\"count\"] for row in price_2_counts]\n",
    "# price_2_labels = [\"Yes\" if row[\"price 2\"] == 1 else \"No\" for row in price_2_counts]\n",
    "\n",
    "# The pie chart for PRICE 2\n",
    "# plt.figure(figsize=(8, 8))\n",
    "# plt.pie(price_2_values, labels=price_2_labels, autopct='%1.1f%%', startangle=140, colors=['skyblue', 'lightgreen'])\n",
    "# plt.title('Distribution of Price 2')\n",
    "# plt.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "id": "98fa1fcd-aa4d-4471-be75-386de96776ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 576x576 with 0 Axes>"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "([<matplotlib.patches.Wedge at 0x7f92ea2155e0>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea2a7100>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea223340>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea223a60>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea2321c0>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea2328e0>],\n",
       " [Text(-1.099005434430608, 0.046765960826126475, 'Top Left'),\n",
       "  Text(-0.350123188889875, -1.0427913274483946, 'Top Middle'),\n",
       "  Text(0.7261573050872882, -0.8262539369155025, 'Top Right'),\n",
       "  Text(1.096382320656999, 0.08913925594693965, 'Bottom Left'),\n",
       "  Text(0.4709565750691587, 0.994082443461873, 'Bottom Middle'),\n",
       "  Text(-0.5068347822118363, 0.97627788233693, 'Bottom Right')],\n",
       " [Text(-0.5994575096894225, 0.02550870590515989, '20.9%'),\n",
       "  Text(-0.19097628484902268, -0.5687952695173061, '20.2%'),\n",
       "  Text(0.3960858027748844, -0.45068396559027407, '13.1%'),\n",
       "  Text(0.5980267203583629, 0.04862141233469435, '16.5%'),\n",
       "  Text(0.2568854045831775, 0.5422267873428398, '16.8%'),\n",
       "  Text(-0.27645533575191067, 0.5325152085474163, '12.5%')])"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Distribution of Location on Page')"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "(-1.1094340520674235,\n",
       " 1.1117944722552835,\n",
       " -1.118766623635822,\n",
       " 1.1128427370410015)"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 464,
       "width": 562
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The counts for each category of LOCATION\n",
    "# location_counts = df.groupBy(\"location\").count().orderBy(\"location\").collect()\n",
    "# location_values = [row[\"count\"] for row in location_counts]\n",
    "# location_labels = [\"Top Left\", \"Top Middle\", \"Top Right\", \"Bottom Left\", \"Bottom Middle\", \"Bottom Right\"]\n",
    "\n",
    "# The pie chart for LOCATION\n",
    "# plt.figure(figsize=(8, 8))\n",
    "# plt.pie(location_values, labels=location_labels, autopct='%1.1f%%', startangle=140)\n",
    "# plt.title('Distribution of Location on Page')\n",
    "# plt.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "id": "99c6c8c5-610b-4bf6-9753-cde65796041f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 576x576 with 0 Axes>"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "([<matplotlib.patches.Wedge at 0x7f92ea1fd4f0>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea1fdc10>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea14f370>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea14fa90>,\n",
       "  <matplotlib.patches.Wedge at 0x7f92ea15f1f0>],\n",
       " [Text(-0.5222473471225626, -0.9681207096346228, 'Page 1'),\n",
       "  Text(0.9716871917719767, 0.5155812267201841, 'Page 2'),\n",
       "  Text(-0.0687884145687763, 1.0978470540203287, 'Page 3'),\n",
       "  Text(-0.6186013835907695, 0.9095781045185651, 'Page 4'),\n",
       "  Text(-0.8035611079365088, 0.7511920831663834, 'Page 5')],\n",
       " [Text(-0.2848621893395796, -0.5280658416188851, '56.5%'),\n",
       "  Text(0.5300111955119873, 0.28122612366555494, '24.8%'),\n",
       "  Text(-0.0375209534011507, 0.5988256658292701, '11.7%'),\n",
       "  Text(-0.3374189365040561, 0.49613351155558094, '5.4%'),\n",
       "  Text(-0.4383060588744593, 0.40974113627257275, '1.7%')])"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Distribution of Page Numbers')"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "(-1.1122583573913363,\n",
       " 1.1355612209070138,\n",
       " -1.1068812195940483,\n",
       " 1.1063016834522703)"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 464,
       "width": 465
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The counts for each category of PAGE\n",
    "# page_counts = df.groupBy(\"page\").count().orderBy(\"page\").collect()\n",
    "# page_values = [row[\"count\"] for row in page_counts]\n",
    "# page_labels = [f\"Page {row['page']}\" for row in page_counts]\n",
    "\n",
    "# The pie chart for PAGE\n",
    "# plt.figure(figsize=(8, 8))\n",
    "# plt.pie(page_values, labels=page_labels, autopct='%1.1f%%', startangle=140)\n",
    "# plt.title('Distribution of Page Numbers')\n",
    "# plt.axis('equal')\n",
    "# plt.show()"
   ]
  }
 ],
 "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": "3.9.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}