explore.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Initial Hypotheses\n",
    "\n",
    "- Do couples in longer relationships sleep in separate beds?\n",
    "- Do older couples end up sleeping in separate beds?\n",
    "- Are people with higher degrees sleeping separately?\n",
    "- Which census region are couples more likely to sleep seperately?\n",
    "- **BONUS**: Are people with stressful jobs sleeping separately? *Note: need to do a lot of cleaning for the occupation category. May require NLP to categorize 'Other' reponses. Will do after project is done if time permits*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import scipy.stats as stats\n",
    "\n",
    "from wrangle import wrangle_data, encode_cat_vars, split_data\n",
    "\n",
    "plt.rc('figure', figsize=(9, 7))\n",
    "\n",
    "plt.rc('font', size=13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, validate, test = split_data(wrangle_data())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>rel_length</th>\n",
       "      <th>separate_bed</th>\n",
       "      <th>occupation</th>\n",
       "      <th>age</th>\n",
       "      <th>education</th>\n",
       "      <th>location</th>\n",
       "      <th>married</th>\n",
       "      <th>male</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>97</th>\n",
       "      <td>20+ years</td>\n",
       "      <td>0</td>\n",
       "      <td>Life, Physical, and Social Science Occupations</td>\n",
       "      <td>45-60</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>East North Central</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>938</th>\n",
       "      <td>20+ years</td>\n",
       "      <td>0</td>\n",
       "      <td>Life, Physical, and Social Science Occupations</td>\n",
       "      <td>45-60</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>Pacific</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>937</th>\n",
       "      <td>20+ years</td>\n",
       "      <td>0</td>\n",
       "      <td>Legal Occupations</td>\n",
       "      <td>45-60</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>Pacific</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>304</th>\n",
       "      <td>20+ years</td>\n",
       "      <td>0</td>\n",
       "      <td>Computer and Mathematical Occupations</td>\n",
       "      <td>30-44</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>Mountain</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1090</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Management Occupations</td>\n",
       "      <td>30-44</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>Middle Atlantic</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     rel_length  separate_bed                                      occupation  \\\n",
       "97    20+ years             0  Life, Physical, and Social Science Occupations   \n",
       "938   20+ years             0  Life, Physical, and Social Science Occupations   \n",
       "937   20+ years             0                               Legal Occupations   \n",
       "304   20+ years             0           Computer and Mathematical Occupations   \n",
       "1090  0-5 years             0                          Management Occupations   \n",
       "\n",
       "        age        education            location  married  male  \n",
       "97    45-60  Bachelor degree  East North Central        1     1  \n",
       "938   45-60  Graduate degree             Pacific        1     0  \n",
       "937   45-60  Graduate degree             Pacific        1     1  \n",
       "304   30-44  Bachelor degree            Mountain        1     1  \n",
       "1090  30-44  Bachelor degree     Middle Atlantic        1     1  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 557 entries, 97 to 160\n",
      "Data columns (total 8 columns):\n",
      " #   Column        Non-Null Count  Dtype \n",
      "---  ------        --------------  ----- \n",
      " 0   rel_length    557 non-null    object\n",
      " 1   separate_bed  557 non-null    int64 \n",
      " 2   occupation    557 non-null    object\n",
      " 3   age           557 non-null    object\n",
      " 4   education     557 non-null    object\n",
      " 5   location      557 non-null    object\n",
      " 6   married       557 non-null    uint8 \n",
      " 7   male          557 non-null    uint8 \n",
      "dtypes: int64(1), object(5), uint8(2)\n",
      "memory usage: 31.5+ KB\n"
     ]
    }
   ],
   "source": [
    "train.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_counts(df, col_a, col_b, title):\n",
    "    plt.rc('figure', figsize=(16, 9))\n",
    "    plt.subplot(211)\n",
    "\n",
    "    sns.countplot(x = col_a, data=df, palette='Purples', ec='black', linewidth=2)\n",
    "\n",
    "    plt.title(title)\n",
    "    plt.xlabel('')\n",
    "    plt.ylabel('')\n",
    "\n",
    "    plt.subplot(212)\n",
    "\n",
    "    # use hue to add another dimension to your viz\n",
    "    sns.countplot(x = col_a, hue = col_b, data=df, palette='Blues', ec='black', linewidth=2)\n",
    "\n",
    "    plt.legend()\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Target: Separate Beds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0.764811\n",
       "1    0.235189\n",
       "Name: separate_bed, dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.separate_bed.value_counts(normalize=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\"><b>Summary</b>: About 24% of couples sleep separately according the the data*</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Do couples in longer relationships sleep in separate beds?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_counts(train, 'rel_length', 'separate_bed', 'How Does the Relationship Length Relate to Sleeping Situation?')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### $Chi^2$ Test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>rel_length</th>\n",
       "      <th>0-5 years</th>\n",
       "      <th>11-15 years</th>\n",
       "      <th>16-20 years</th>\n",
       "      <th>20+ years</th>\n",
       "      <th>6-10 years</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>separate_bed</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>79</td>\n",
       "      <td>59</td>\n",
       "      <td>35</td>\n",
       "      <td>179</td>\n",
       "      <td>74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>19</td>\n",
       "      <td>24</td>\n",
       "      <td>14</td>\n",
       "      <td>58</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "rel_length    0-5 years  11-15 years  16-20 years  20+ years  6-10 years\n",
       "separate_bed                                                            \n",
       "0                    79           59           35        179          74\n",
       "1                    19           24           14         58          16"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# crosstab of target by age\n",
    "len_obs = pd.crosstab(train.separate_bed, \n",
    "                      train.rel_length)\n",
    "len_obs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We fail to reject the null hypothesis that Relationship Length and Sleeping Sitation are independent\n",
      "0.31523451425551374\n"
     ]
    }
   ],
   "source": [
    "# Chi^2 test returns 4 variables\n",
    "chi2, p, degf, expected = stats.chi2_contingency(len_obs)\n",
    "\n",
    "null_hypothesis = \"Relationship Length and Sleeping Sitation are independent\"\n",
    "\n",
    "# significance\n",
    "alpha = .05\n",
    "\n",
    "if p < alpha:\n",
    "    print(\"We reject the hypothesis that\", null_hypothesis)\n",
    "else:\n",
    "    print(\"We fail to reject the null hypothesis that\", null_hypothesis)\n",
    "\n",
    "print(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.groupby('rel_length').separate_bed.mean().plot.bar(ec='black', \n",
    "                                                         fc='dodgerblue', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', color='grey', \n",
    "           label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=0)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('% Separate')\n",
    "plt.title('Rate of Separate Beds by Relationship Length')\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Summary</b>: These relationship length groups surpass the mean for the population for couples in separate beds:\n",
    "    <li>11-15 years</li>\n",
    "    <li>16-20 years</li>\n",
    "    <li>20+ years</li>\n",
    "    $Chi^2$ Test determined that these are independent.\n",
    "    </div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Do older couples end up sleeping in separate beds?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_counts(train, 'age', 'separate_bed', 'How Does Age Group Relate to Sleeping Situation?')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.groupby('age').separate_bed.mean().plot.bar(ec='black', \n",
    "                                                  fc='green', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', color='grey', \n",
    "           label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=0)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('% Separate')\n",
    "plt.title('Rate of Separate Beds by Age')\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### $Chi^2$ Test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>age</th>\n",
       "      <th>18-29</th>\n",
       "      <th>30-44</th>\n",
       "      <th>45-60</th>\n",
       "      <th>60+</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>separate_bed</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>61</td>\n",
       "      <td>118</td>\n",
       "      <td>128</td>\n",
       "      <td>119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9</td>\n",
       "      <td>40</td>\n",
       "      <td>38</td>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "age           18-29  30-44  45-60  60+\n",
       "separate_bed                          \n",
       "0                61    118    128  119\n",
       "1                 9     40     38   44"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# crosstab of target by age\n",
    "age_obs = pd.crosstab(train.separate_bed, train.age)\n",
    "age_obs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We fail to reject the null hypothesis that Age and Sleeping Sitation are independent\n",
      "0.11975865217615421\n"
     ]
    }
   ],
   "source": [
    "# Chi^2 test returns 4 variables\n",
    "chi2, p, degf, expected = stats.chi2_contingency(age_obs)\n",
    "\n",
    "null_hypothesis = \"Age and Sleeping Sitation are independent\"\n",
    "\n",
    "# significance\n",
    "alpha = .05\n",
    "\n",
    "if p < alpha:\n",
    "    print(\"We reject the hypothesis that\", null_hypothesis)\n",
    "else:\n",
    "    print(\"We fail to reject the null hypothesis that\", null_hypothesis)\n",
    "\n",
    "print(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Summary</b>: These age groups surpass the mean for the population for couples in separate beds:\n",
    "    <li>30-44</li>\n",
    "    <li>60+</li>\n",
    "    $Chi^2$ Test determined that these are independent.\n",
    "      </div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Are people with higher degrees sleeping separately?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_counts(train, 'education', 'separate_bed', 'How Does the Education Level Relate to Sleeping Situation?')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.groupby('education').separate_bed.mean().plot.bar(ec='black', \n",
    "                                                        fc='orange', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', color='grey', \n",
    "           label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=0)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('% Separate')\n",
    "plt.title('Rate of Separate Beds by Education')\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### $Chi^2$ Test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>education</th>\n",
       "      <th>Bachelor degree</th>\n",
       "      <th>Graduate degree</th>\n",
       "      <th>HS degree or less</th>\n",
       "      <th>Some college or Associate degree</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>separate_bed</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>127</td>\n",
       "      <td>144</td>\n",
       "      <td>34</td>\n",
       "      <td>121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>40</td>\n",
       "      <td>40</td>\n",
       "      <td>15</td>\n",
       "      <td>36</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "education     Bachelor degree  Graduate degree  HS degree or less  \\\n",
       "separate_bed                                                        \n",
       "0                         127              144                 34   \n",
       "1                          40               40                 15   \n",
       "\n",
       "education     Some college or Associate degree  \n",
       "separate_bed                                    \n",
       "0                                          121  \n",
       "1                                           36  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# crosstab of target by age\n",
    "edu_obs = pd.crosstab(train.separate_bed, train.education)\n",
    "edu_obs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We fail to reject the null hypothesis that Education Level and Sleeping Sitation are independent\n",
      "0.6275542881050433\n"
     ]
    }
   ],
   "source": [
    "# Chi^2 test returns 4 variables\n",
    "chi2, p, degf, expected = stats.chi2_contingency(edu_obs)\n",
    "\n",
    "null_hypothesis = \"Education Level and Sleeping Sitation are independent\"\n",
    "\n",
    "# significance\n",
    "alpha = .05\n",
    "\n",
    "if p < alpha:\n",
    "    print(\"We reject the hypothesis that\", null_hypothesis)\n",
    "else:\n",
    "    print(\"We fail to reject the null hypothesis that\", null_hypothesis)\n",
    "\n",
    "print(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Summary</b>: These education level groups surpass the mean for the population for couples in separate beds:\n",
    "    <li>High School or less</li>\n",
    "    <li>Bachelor's degree</li>\n",
    "    $Chi^2$ Test determined that these are independent.\n",
    "    </div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Which census region are couples more likely to sleep seperately?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_counts(train, 'location', 'separate_bed', 'How Does the Census Region Relate to Sleeping Situation?')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "train.groupby('location').separate_bed.mean().plot.bar(ec='maroon', \n",
    "                                                       fc='pink', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', \n",
    "           color='grey', label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=0)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('% Separate')\n",
    "plt.title('Rate of Separate Beds by location')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### $Chi^2$ Test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>location</th>\n",
       "      <th>East North Central</th>\n",
       "      <th>East South Central</th>\n",
       "      <th>Middle Atlantic</th>\n",
       "      <th>Mountain</th>\n",
       "      <th>New England</th>\n",
       "      <th>Pacific</th>\n",
       "      <th>South Atlantic</th>\n",
       "      <th>West North Central</th>\n",
       "      <th>West South Central</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>separate_bed</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>92</td>\n",
       "      <td>11</td>\n",
       "      <td>69</td>\n",
       "      <td>25</td>\n",
       "      <td>37</td>\n",
       "      <td>63</td>\n",
       "      <td>52</td>\n",
       "      <td>48</td>\n",
       "      <td>29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>24</td>\n",
       "      <td>7</td>\n",
       "      <td>22</td>\n",
       "      <td>11</td>\n",
       "      <td>12</td>\n",
       "      <td>13</td>\n",
       "      <td>23</td>\n",
       "      <td>11</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "location      East North Central  East South Central  Middle Atlantic  \\\n",
       "separate_bed                                                            \n",
       "0                             92                  11               69   \n",
       "1                             24                   7               22   \n",
       "\n",
       "location      Mountain  New England  Pacific  South Atlantic  \\\n",
       "separate_bed                                                   \n",
       "0                   25           37       63              52   \n",
       "1                   11           12       13              23   \n",
       "\n",
       "location      West North Central  West South Central  \n",
       "separate_bed                                          \n",
       "0                             48                  29  \n",
       "1                             11                   8  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# crosstab of target by age\n",
    "loc_obs = pd.crosstab(train.separate_bed, train.location)\n",
    "loc_obs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We fail to reject the null hypothesis that Education Level and Sleeping Sitation are independent\n",
      "0.37352490745037314\n"
     ]
    }
   ],
   "source": [
    "# Chi^2 test returns 4 variables\n",
    "chi2, p, degf, expected = stats.chi2_contingency(loc_obs)\n",
    "\n",
    "null_hypothesis = \"Education Level and Sleeping Sitation are independent\"\n",
    "\n",
    "# significance\n",
    "alpha = .05\n",
    "\n",
    "if p < alpha:\n",
    "    print(\"We reject the hypothesis that\", null_hypothesis)\n",
    "else:\n",
    "    print(\"We fail to reject the null hypothesis that\", null_hypothesis)\n",
    "\n",
    "print(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Summary</b>: These census location groups surpass the mean for the population for couples in separate beds:\n",
    "    <li>East South Central</li>\n",
    "    <li>South Atlantic</li>\n",
    "    <li>Mountain</li>\n",
    "     $Chi^2$ Test determined that these are independent.\n",
    "    </div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> **Are there any combinations of features of couples that are more likely to sleep apart?**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#train.groupby(['age', 'education']).separate_bed.mean()\n",
    "plt.rc('figure', figsize=(12, 4))\n",
    "ctab = pd.crosstab(train['age'], train.education, values=train.separate_bed, aggfunc='mean')\n",
    "sns.heatmap(ctab, annot=True, cmap='Purples', fmt='.1%')\n",
    "\n",
    "plt.title('What was the Rate for Age by Education Level?')\n",
    "plt.xticks(rotation=20)\n",
    "plt.yticks(rotation=45)\n",
    "plt.ylabel('')\n",
    "plt.xlabel('')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#train.groupby(['location', 'education']).separate_bed.mean()\n",
    "plt.rc('figure', figsize=(16, 9))\n",
    "\n",
    "ctab = pd.crosstab(train['location'], train.education, values=train.separate_bed, aggfunc='mean')\n",
    "sns.heatmap(ctab, annot=True, cmap='Greens', fmt='.1%')\n",
    "\n",
    "plt.title('What was the Rate for Age by Relationship Length?')\n",
    "plt.xlabel('')\n",
    "plt.ylabel('')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#train.groupby(['location', 'rel_length']).separate_bed.mean()\n",
    "\n",
    "ctab = pd.crosstab(train['location'], train.rel_length, values=train.separate_bed, aggfunc='mean')\n",
    "sns.heatmap(ctab, annot=True, cmap='rocket_r', fmt='.1%')\n",
    "\n",
    "plt.title('What was the Rate for Location by Relationship Length?')\n",
    "plt.xlabel('')\n",
    "plt.ylabel('')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    <b>Summary</b>: These combination of groups significantly surpass the mean for the population for couples in separate beds:\n",
    "    <li>Region: Mountain, Relation Length: 11-15 years = 80%</li>\n",
    "    <li>Region: East South Central, Relation Length: 6-10 years = 75%</li>\n",
    "    <li>Age: 30-44, Education: HS degree or less = 66.7%</li>\n",
    "    <li>Region: East South Central & Pacfic, Education: HS degree or less = 60%</li>\n",
    "    <li>Region: Mid Atlantic, Relation Length: 16-20 years = 60%</li>\n",
    "    These combinations may be worth looking into further.\n",
    "    </div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Feature Engineering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = wrangle_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['rel_length',\n",
       " 'separate_bed',\n",
       " 'occupation',\n",
       " 'age',\n",
       " 'education',\n",
       " 'location',\n",
       " 'married',\n",
       " 'male']"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "og_cols = df.columns.to_list()\n",
    "og_cols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>rel_length</th>\n",
       "      <th>separate_bed</th>\n",
       "      <th>occupation</th>\n",
       "      <th>age</th>\n",
       "      <th>education</th>\n",
       "      <th>location</th>\n",
       "      <th>married</th>\n",
       "      <th>male</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Other (please specify)</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Some college or Associate degree</td>\n",
       "      <td>Pacific</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>1</td>\n",
       "      <td>Healthcare Support Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>South Atlantic</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Legal Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>South Atlantic</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Life, Physical, and Social Science Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>Middle Atlantic</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Office and Administrative Support Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>South Atlantic</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  rel_length  separate_bed                                      occupation  \\\n",
       "0  0-5 years             0                          Other (please specify)   \n",
       "1  0-5 years             1                  Healthcare Support Occupations   \n",
       "2  0-5 years             0                               Legal Occupations   \n",
       "3  0-5 years             0  Life, Physical, and Social Science Occupations   \n",
       "4  0-5 years             0   Office and Administrative Support Occupations   \n",
       "\n",
       "     age                         education         location  married  male  \n",
       "0  18-29  Some college or Associate degree          Pacific        0     1  \n",
       "1  18-29                   Bachelor degree   South Atlantic        0     1  \n",
       "2  18-29                   Graduate degree   South Atlantic        1     1  \n",
       "3  18-29                   Bachelor degree  Middle Atlantic        1     1  \n",
       "4  18-29                   Graduate degree   South Atlantic        1     1  "
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['long_term'] = np.where(\n",
    "    (df['rel_length'] == '11-15 years') | (df['rel_length'] == '16-20 years'), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['young'] = np.where(\n",
    "    (df['age'] == '18-29'), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['hs_or_less'] = np.where(\n",
    "    (df['education'] == 'HS degree or less'), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['regional'] = np.where(\n",
    "    ((df['location'] == 'East South Central') | \n",
    "     (df['location'] == 'Mountain') |\n",
    "     (df['location'] == 'South Atlantic')), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['esc_610'] = np.where(\n",
    "    ((df['location'] == 'East South Central') & \n",
    "     (df['rel_length'] == '6-10 years')), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['ma_1620'] = np.where(\n",
    "    ((df['location'] == 'Middle Atlantic') & \n",
    "     (df['rel_length'] == '16-20 years')), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['mt_1115'] = np.where(\n",
    "    ((df['location'] == 'Mountain') & \n",
    "     (df['rel_length'] == '11-15 years')), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['midage_hs'] = np.where(\n",
    "    ((df['age'] == '30-44') & \n",
    "     (df['education'] == 'HS degree or less')), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['esc_bac'] = np.where(\n",
    "    ((df['location'] == 'East South Central') & \n",
    "     (df['education'] == 'Bachelor degree')), \n",
    "    1, \n",
    "    0)\n",
    "\n",
    "df['pac_hs'] = np.where(\n",
    "    ((df['location'] == 'Pacific') & \n",
    "     (df['education'] == 'HS degree or less')), \n",
    "    1,\n",
    "    0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>location</th>\n",
       "      <th>education</th>\n",
       "      <th>pac_hs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>758</th>\n",
       "      <td>Middle Atlantic</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>536</th>\n",
       "      <td>West North Central</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>687</th>\n",
       "      <td>West South Central</td>\n",
       "      <td>Some college or Associate degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>329</th>\n",
       "      <td>East South Central</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>987</th>\n",
       "      <td>Pacific</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>72</th>\n",
       "      <td>Pacific</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>364</th>\n",
       "      <td>South Atlantic</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>187</th>\n",
       "      <td>Middle Atlantic</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>444</th>\n",
       "      <td>East North Central</td>\n",
       "      <td>Some college or Associate degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>East North Central</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               location                         education  pac_hs\n",
       "758     Middle Atlantic                   Bachelor degree       0\n",
       "536  West North Central                   Graduate degree       0\n",
       "687  West South Central  Some college or Associate degree       0\n",
       "329  East South Central                   Graduate degree       0\n",
       "987             Pacific                   Graduate degree       0\n",
       "72              Pacific                   Bachelor degree       0\n",
       "364      South Atlantic                   Graduate degree       0\n",
       "187     Middle Atlantic                   Bachelor degree       0\n",
       "444  East North Central  Some college or Associate degree       0\n",
       "198  East North Central                   Bachelor degree       0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[['location', 'education', 'pac_hs']].sample(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>rel_length</th>\n",
       "      <th>separate_bed</th>\n",
       "      <th>occupation</th>\n",
       "      <th>age</th>\n",
       "      <th>education</th>\n",
       "      <th>location</th>\n",
       "      <th>married</th>\n",
       "      <th>male</th>\n",
       "      <th>long_term</th>\n",
       "      <th>young</th>\n",
       "      <th>hs_or_less</th>\n",
       "      <th>regional</th>\n",
       "      <th>esc_610</th>\n",
       "      <th>ma_1620</th>\n",
       "      <th>mt_1115</th>\n",
       "      <th>midage_hs</th>\n",
       "      <th>esc_bac</th>\n",
       "      <th>pac_hs</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Other (please specify)</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Some college or Associate degree</td>\n",
       "      <td>Pacific</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>1</td>\n",
       "      <td>Healthcare Support Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>South Atlantic</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Legal Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>South Atlantic</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Life, Physical, and Social Science Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Bachelor degree</td>\n",
       "      <td>Middle Atlantic</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0-5 years</td>\n",
       "      <td>0</td>\n",
       "      <td>Office and Administrative Support Occupations</td>\n",
       "      <td>18-29</td>\n",
       "      <td>Graduate degree</td>\n",
       "      <td>South Atlantic</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  rel_length  separate_bed                                      occupation  \\\n",
       "0  0-5 years             0                          Other (please specify)   \n",
       "1  0-5 years             1                  Healthcare Support Occupations   \n",
       "2  0-5 years             0                               Legal Occupations   \n",
       "3  0-5 years             0  Life, Physical, and Social Science Occupations   \n",
       "4  0-5 years             0   Office and Administrative Support Occupations   \n",
       "\n",
       "     age                         education         location  married  male  \\\n",
       "0  18-29  Some college or Associate degree          Pacific        0     1   \n",
       "1  18-29                   Bachelor degree   South Atlantic        0     1   \n",
       "2  18-29                   Graduate degree   South Atlantic        1     1   \n",
       "3  18-29                   Bachelor degree  Middle Atlantic        1     1   \n",
       "4  18-29                   Graduate degree   South Atlantic        1     1   \n",
       "\n",
       "   long_term  young  hs_or_less  regional  esc_610  ma_1620  mt_1115  \\\n",
       "0          0      1           0         0        0        0        0   \n",
       "1          0      1           0         1        0        0        0   \n",
       "2          0      1           0         1        0        0        0   \n",
       "3          0      1           0         0        0        0        0   \n",
       "4          0      1           0         1        0        0        0   \n",
       "\n",
       "   midage_hs  esc_bac  pac_hs  \n",
       "0          0        0       0  \n",
       "1          0        0       0  \n",
       "2          0        0       0  \n",
       "3          0        0       0  \n",
       "4          0        0       0  "
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Wr2COR4raQ96+xpoQuDnXNqFxumex5kRxbrC51jL3w+k82zxNwpjTni0bsXrLPeS2vgdWBXBvhi1ywBhz2RjzHdZcAF5Y1/uN0MntdVesiux3HuLmiDHmPNakxnUzORc7skvDTXoPuDbpK+z3XAe3eNqzRiml8oBdZ+yKNQ9dC7elFdaPTelDqrbaf93vP13cXl9PXfYtrO9Yb2b2QI0c2mj/7e62vgdWw036sRyy/zr3qg/E6sntSbb1JqVU/qY9cRRYv1g8BYzGmq1/N1avgldF5DLWjWgk1sStzr9U7MEa9vGYiCRhfRn9yRizTkTmA5+JyD+xJhj1xurh0xFrgtC0TPIyHmveilUiMgnrC1Es1q/rb13DsU2z50BZAPyK9aW5DdYTqBY5jZseg3UzXCci72LdyMpgPTEpzRjzD6c0/wBWish4O38vY91AZ9jha+xymSkib2F17x2LVaY5kdPt0+eVeUZE1gEX7AaQN7Fu8BtF5E2sX1sCsRqpwowxT5C1YiKSPr+PD1bvmzFYv9AsAquHhn1up9mNWJvsPEdi9egaYpftm1jXVnp5+WKdY8evPXZF40vgU6y5hcCavyYV69es7DwiIuexrpsHgW5Y8zy5Dyn6N9bQpQQyjoXPMWPMLhGZh3Xdv2SMOcm1l/kq4D0ReQ2rDJpgHbv7XD27gcftoUyHsYb3HPSQ3udY5fCR/RSmfXa+YoDHPAwJypSI1LOPa56dzm1Yw+r+xGqcuxHCRGQ21tOgqmNNSjnXGPNL1psB0EhE3HvVJBljPsdqaFsv1iPkP8bq9VUOq3z3GmMyPCY9Cyuwnj71sYg8Z6f1NNa8Rc7l6fHz8Cr2o5RS6tp0wLrnvmOM+co9UEQWAg+LyJP2PXwx8E+xnir6K1YDT/rjuS8DXE9d1hizQ6ynuU4FKovIdKz7qC/Wj1NtsXr5ZMkY87Odh9fsuuz3WL21BwPjjTFn7KjfAQeAN+TKnI4j8NxTGnJeb1JK5Vcml2dS1iXvFjJ5mpEd9jLWF5Aa9uuGWOOIk7AepTwCeA6np7HY8Z60w9NwndXfCxiONQznIlbDx3dYjRGSTT7vAdbb+04E/gtUc4uT06dTtcFqHNhrp3cB+BnrsZK3ucWtiPWF7zjWF7B4e98POMU5iPV472FYX6aTsRpd3PPXC+tLXTLWfCftsJ7w9FUOz0dOtvfCekLBaaxKx0GnsNLAFKzGpRSsRpMvgB7ZlNcMXJ9KlYpVMZgOVPAQfwBW9+ALWF/ufwRex/UpX3dhNZBdxJrwtpfzsWD1HJmK1VBxHqvBboNzuWeS1352Hu+1jy0Jq7fJqEzil7Cv03/m8P0SSSZPQcLqiXIJ1yemZVvmZHxShBfwmh33PFajTjX7vMc6xStvp3XOztOMzK4hrEd2v4/V2HAR63rv4xbH47WH01OwsBpsZ2K9dy5gNX6tABpdTTqe4jmV7eN2Xv+H9V7/0Pnayea8eFrineLVxXra3Wm7PA9iTQ55p1McA7zgln7z9OvKaV041qTWSXa5vgJMAP6X3edhZtcRmTxNRBdddNFFl6tb7M/nk1i9ZjyFp3+u97RfB9r3t7P2/ed9rHqdAQKdtrvmuqy9/R1YkxCnzx94Bqvh5DnsJ0vZ8TzeS+2wYlj1qnisusVvwDAP8epi9dw5j3Xf/guZP50qR/UmXXTRJf8u6Y+bVUrlgIgcxPpymtP5gVQ+ISLdsXqV1DQ56+mhbhIRicRqHOxrjPk0b3Nz9ezu8VuAc8aY+/M6P0oppa6PiCwAGhpjKud1Xm4WEekHfAREGGN06JRSBZgOp1JK3dLsBoMqWMO4PtcGHHW17Endi2H1FgvA+jWzEVaXeqWUUgWIPTS5ClbvYR+s+XAeBobkZb6UUiqntBFHKXWriwV6Yw37ejJvs6IKqAtYk21XwupevwtrmNxneZorpZRS1+Ic1nxxY7Dme9sH/J+5uvnSlFIqz+hwKqWUUkoppZRSSqkCQB8xrpRSSimllFJKKVUAaCOOUkoppZRSSimlVAGQa3PiiEj6o3T7YY0//QIYbIxJ8BD3PuAtrEezemGNVR1vjFnkFKcq1mOm78Z6POCbxpg3sstHmTJlTGRk5HUejVJKKaWux7Zt2xKMMWXzOh8FgdZdlFJKqbyXX+ouuTmx8XNYT/JoDJwGPgQ+Adp6iPsr0Bk4ZL++D1gpIncYY3bbDUJLgdXAQ0ANOzzeGDMvq0xERkYSFxd3I45HKaWUUtdIRH7P6zwUFFp3UUoppfJefqm75OZwqkHA68aY/caYP4GRQIz9+F8XxpiTxpjfjTXrsgCX7bxWtaM0BSoCzxtjkowx3wPvA0/c/MNQSimllFJKKaWUyn250ogjIoFABWBb+jpjzD4gEaiXxXZngIvARmAL1hAsgPrAHmPMOafo39vrlVJKKaWUUkoppW45uTWcKsD++6fb+jNOYRkYY4JEpBjWkKvqwCU7qMTVpCUig7B6AlGhQoWryrhSSimllFJKKaVUfpBbw6nO2n8D3dYHYfXGyZQx5qIxZgnQDBjolF6O0zLGTDXGRBtjosuWzfN5iJRSSimllFJKKaWuWq70xDHGnBGRQ0BDYDuAiFTG6jnzUw6TKQrcbv//R6CaiBQ3xpy31zWw1yulVKYSExM5efIkqampeZ0VpW5p3t7eBAcHExCQaYdbpZRSOaB1F6VyR0Gpu+Tm06mmAqNEZB3W06leB1YZYw66RxSRh4E9wG47j32B+4GJdpQNwO/AKyLyHNZQq8HAkJt8DEqpAiwxMZETJ04QFhaGr68vIpLXWVLqlmSM4cKFCxw5cgQg31eGlFIqv9K6i1K5oyDVXXLz6VSvYT0WfCtwBPAC+gCISG8RcZ6kOBRYhDXPzVFgANDTGPMlgDEmDegA1MFqEPocmGiMmZs7h6KUKohOnjxJWFgYfn5+WglS6iYSEfz8/AgLC+PkyZN5nR2llCqwtO6iVO4oSHWXXOuJYze8DLcX97BZwCyn11OAKdmktxdoeYOzqZS6haWmpuLr65vX2VCq0PD19dXu/0opdR207qJU7ioIdZfc7ImjlFJ5Tn/FUir36PtNKaWun36WKpV7CsL7TRtxlFJKKaWUUkoppQoAbcRRSimlclG/fv0YOHDgDU1z/PjxNG/e/IamqZRSSikFWnfJb7QRRymllMohEWHTpk15nY1cERsbS6tWrfI6G0oppZS6Dlp3ufVoI45SShVyaWlpXL58Oa+zkafy+wR2N1phO16llFK3Fq27FL57eWE73qxoI44qUEIjIhERXa5jCY2IzOvTqHLgrbfeokaNGpQoUYIKFSrw/PPPk5aWBsDw4cPp3LmzS/x169ZRokQJzp8/D8COHTto06YNZcqUcWyffvM7ePAgIsL06dOpVasWfn5+nDx5krlz51K/fn0CAgIIDQ1l8ODBjvQAjh8/TocOHQgMDKRatWpMnz4dEeHgwYOOONOmTaNOnToEBgbSoEEDvvjii0yP8eDBg7Rp04agoCBKlizJHXfcwa+//pqjtGJjY2nZsiXDhg2jdOnShIeH89prrznCk5KS6NKlCyEhIQQEBNCwYUO+/PJLR/iMGTOoWrUqEydOJDw8nKioKABGjx5N5cqV8ff3p0qVKkyePNmxTf369QF44IEH8Pf3d3QrTkpKYvjw4VSqVIlSpUoRExPD3r17szq9XLhwgb59+xIQEECVKlWYMWOGS/jGjRu59957KVWqFFWqVOGNN97AGOMIX758ObVq1cLf35/27duTkJCQ5f4iIyMZN24cLVq0oHjx4ixcuJAff/yRZs2aUaZMGUqWLEnbtm3Zt28fAPPmzeOVV17hq6++wt/fH39/f/bv35+jvCmllCqcClPdpUSJEgQEBFCzZk0WLFhAXFwccXFx/P3vf6dKlSr4+/tTvXp1pkyZ4ggbNGgQjRo1olevXgQFBVGuXDmefvppR/imTZto0aIFpUuXxt/fnxo1avDOO+84wseOHUtERARDhgyhXLlyVK9enbi4OPr37+94DH14eDjPPPOMY5tq1aoB0KpVK/z8/OjUqZNjX3369CEsLIzAwEDuvvtuFi9e7NjOfUlISCA+Pp527drh7+9PeHg4Y8eOdYkzbdo0oqKiCAwMJDw8nKFDh7J161ZH+OTJk6lcuTJ+fn7cd9997Ny5k7Nnz2a6z/LlyzN48GCio6Px9fVl4sSJzJ49m4YNGxIUFERAQABNmjRh2bJlQOGqu+TaI8aVuhGOx/9OhckF9w2XHxwamv9nXM9N7l+eAWrXrk2jRo1ITU1l1qxZGcKjoqKIiooiKSmJ+fPnZwiPjo6mTp06/PnnnyxevBiwxhJfjfDwcFasWEFkZCTbt28nJiaGyMhIBg8ezIABA4iKiuLUqVOULVvWcRzdu3enePHinDx5kmbNmvHKK6+wdOlSTp06RceOHfH19WXMmDGOfcyePZu1a9dSqlQpvLy8CAwMZPbs2dSsWZP9+/fz0EMPMX78eF599VUAevfuTVBQEIcPHyY5OZnu3bu75Hnq1KlMmDCBhQsXUrduXVauXEmXLl3Yvn07VatWzXCMo0ePpkKFCnz22WcULVqUnTt3EhQUlOO0NmzYQOvWrTl27Bg///wzbdu2pWLFivTs2ZPLly/TpUsXPv74Y2677TYmT57Mww8/zL59+xxldvDgQY4ePcpvv/3muJHXqlWLTZs2ERoayrp163jwwQepWbMmbdq04ccff0RE+OKLL7j33nsdxzFw4EASExP59ttvKVmyJC+//DLt27fn559/xtvb2+P5nT9/Ph999BEfffQR69at46GHHqJatWo0adKEnTt30q5dOz799FPat2/Pb7/9Rtu2bSlbtiyPPvoo+/fvp0uXLkyfPp0ePXqwdu1aOnfuTKNGjbK8pqZNm8Znn31GVFQUycnJ/Pbbb8TGxtKkSROSk5MZOHAgffr04ZtvvuGRRx5h9+7dbNq0idWrVzvSyC5vSimlbj6tu+R93WXs2LF4RXix/9f9lChbAsrCok8X8cnsT3h96utUrVmVb9Z9w8gnRjLri1lEVIqAEvDD9h9o3LoxK7avYO8vexnSZwihtUJp06kNl89fpkWXFsS+H0uxYsWY88EcRj03isWbF1OydEkIgmPHjnEq6RQLNy+0MuQLlRpW4oP/+4Ay5coQ93Ucw/4yjErRlbi7+d3M/mo2jcIaMWXuFKLujHIcx/inxnP+7Hk+/PxDAgID+PDtDxk2Yhhz18ylqLeHJgI/WL14NWMmjWHMv8ewbfM2nu3/LBUaVqB+o/rs+3UfQ4cNZdy/xnFvq3s5fOAwQ/oMoWSlkjzY7UHif49n5KiRvPDPF3ig4wPEfR3HiMdGUCuqFpTP5ILygiVLlzBpxiSq1a7GxeSLHD5wmEHPD6JedD1SLqYwfvh4Ro8eTfv27QtV3UV74iilVD708MMPU6lSJUSEBg0a0LdvX9asWQNYDQ0NGjTg008/BeDs2bMsXLiQAQMGADBz5kzq16/P4MGD8fHxISwsjOeff56ZM2e67GPs2LGEhITg4+ODl5cXbdu2pXbt2hQpUoSqVavy5JNPOvYZHx/P2rVrmThxIgEBAQQHB/OPf/zDJb23336bMWPGUL9+fYoUKUK7du1o0aIFc+fO9XiMPj4+HD9+nP379+Pl5UW9evUoV65cjtMKDQ1l1KhR+Pj4cMcddzBo0CA++ugjAPz9/enTpw8lSpTA29ubESNG4OPjw9atWx3be3t789prr+Hr64ufnx8Affr0oXz58ogI999/Pw8++KCjDDxJSEhgzpw5vPvuu5QrVw4fHx/Gjh3LsWPH2LJlS6bb3XXXXfTp04eiRYvSunVrHn74YUel/L333qNbt2507NgRLy8vatSowdNPP+04f3PmzOHOO+90bP/AAw/QqVOnTPeV7vHHH6dBgwaICL6+vtSrV48WLVpQrFgxAgMDGTt2LN9++63LL5jussubUkqpwqsw1V2OHDmCl5cXt9e6ndJlSwMw78N5DBw6kGq1q1GkSBHuaXkPdzS5gy/+e6VnT5ngMvzlqb/g7eNNzXo16dy7M0vnLQXAr7gf7R5uR3H/4hT1Lkrfv/alqHdRdm3f5di+qHdRnvJT1EMAACAASURBVB79NLf53sZtvrcB0O7hdpQNKYuI0OjeRtxz/z1s3bSVzJz54wyrlqxi1KujKF22NN4+3jz+zOMknExgxw87Mt2ubsO6tHu4HUWLFqVx08a0aNeCZf+xesEsnLmQlu1b0qxNM7y8vIisGkm3ft1YvmA5AF8s+YLaUbUd29/V7C6axTTLdF/pOvXuRPU61RERbvO9jdtr3U70PdH4FPPBP8Cfgc8M5Oeffy50dRftiaOUKtSy+pXJ29s7y3A/P78swwMDA6/6V6x0c+bMYdKkSezfv59Lly6RkpLCXXfd5Qjv378/7777LsOGDWP+/PmEhYVxzz33AHDgwAG+/vprR68WAGOMo0tzusjISJfXX375JePGjeOXX37h4sWLpKWlERwcDMCRI0cAqFChgiN+xYoVXbY/cOAATz31FH/7298c6y5dukR4eLjHY5w4cSIvvfQSHTp04Pz583Tt2pVXX30Vf3//HKVVsWJFRK70LIuMjGTRokWANVxp5MiRLF++nISEBIoUKcLZs2c5deqUI35oaCjFihVzydPbb7/NtGnTiI+PxxjDhQsX6NWrl8f8px8zQL169VzWp6amcvjw4Uy3cy/7yMhIvv/+e0eaa9eudRwLwOXLl4mIiACsSqn79pUqVXKco5zuc9++fYwYMYItW7Zw9uxZR1kmJCRQvHhxj2lklzellFI3n9ZdrsirusszzzzDhZQLtHywJU89/xR+xf04eugoE/4+gX+O+acjftqlNMqFlnO8Dg0Pdam7hEaEsm7FOgCSLyTzr5f/xaY1m/jzjz+RIkLSuST+d/p/jvilg0vjU8zHJU9zp89lyewlnDx2EmMMF5Mv0qZTG4/5BzhyyCqXnq16uqy/lHqJE0dPZLpdaHioy+vy4eX5ZccvABw9dJS4zXGOYwEwlw3B5a1zcfLYyQzbh0WEcer4KbJSPty1m078wXjeGv8WO3/YSdK5JLCLsrDVXbQRRymVQWhEJMfjf8/rbNxwK1asyLKl/kbx9vGhvtuX+qtx+PBh+vTpw6JFi2jbti0+Pj4MHz6cuLg4R5wePXowbNgwvv/+e2bMmEH//v0dYRUrVqRVq1YsX748y/0UKXKlM2ZKSgqdOnViwoQJDBgwAF9fX6ZMmcI//2lVRMLCwgA4dOgQlStXdvzfWcWKFXnxxRfp1q1bjo6zbNmyvP3227z99tvs37+fjh07MmHCBMaNG5ejtH7//XeMMY7K0MGDBx2VrkmTJrF+/XrWrFlDZKQ1l1aZMmVcxj87Hz/A119/zahRo1izZg2NGzfGy8uLrl27umzjXPFKP2aA3377zdE9PCecx+K7571ixYoMGDCAd955x+O2YWFhrFq1ymVdemNSVtyP94knnqB8+fL89NNPlC5dmh07dlC3bl3H8brHz0nelFJKFU6Fre7y6KOPEp8az/ABw5n57kyeGPEEoeGhDHp2EK06ZP50pGPxx1zqLscOHyM41GromD11Nt9/+z3vznuX8hFWr+BWdVplWXf5ceuPTHllCu/MfYc6Devg5eXFqMdHZVl3SW9MWbRpkTVMK4eOxR9zeX00/qgj7yHhIXR4pAOjXhnlcduyIWX5dv23LuuOHM76xycAKeKa91efe5Wy5coy+8vZBJUKYu8ve+nZsmehq7toI45SKoNbde4hr5K78YmoedP3k3I4LvtIWTh37hyXL1+mbNmyeHt78+233/LJJ59Qs+aVvAcFBdG5c2deeOEFvv32W+bNm+cIe/TRR3njjTf48MMP6dWrFz4+Phw8eJA9e/YQExPjOc8pKSQnJ1OyZEl8fX3ZtWsXU6ZMcYSHh4fTvHlznnvuOaZPn86FCxcYP368SxrDhg0jNjaW22+/nfr165OcnMy2bdsoU6YMNWrUyLDPefPmceeddxIZGUlgYCA+Pj4ULVo0x2kdO3aMiRMnMmzYMHbs2MG0adOYNGkSAImJiRQrVozSpUuTkpLC66+/zpkzZ7Is98TERLy8vChb1uqSvHz5clasWOFSsQsJCeG3335zzIkTHBxMr169ePLJJ5k8eTJhYWGcOXOGdevW0bp1a/z9/T3u69tvv2XOnDl0796d9evXs3DhQsfEy08++STNmjUjJiaGmJgYRIQ9e/Zw6tQpmjVrRs+ePRk3bhxz5syhW7dufPXVV/z3v/8lOjo6y+PzdLy33347QUFBJCQkuMw5kH6shw4dIiUlBR8fnxzlTSmlVOFU2Oouxhj8S/jj7e2NV1EvAHo+3pOpk6YSUSnCMYfLLz//QlCpICKrRgKQcDKBT977hF6P92Lfr/tYMnsJQ8cOBeD8ufN4+3gTWDKQ1JRUPn73Y84lnsu63M+eo0iRIpQsXdJ6lPjqTWxet5mW7Vs64pQOLs2hA4ccc+KUKlOKNp3b8Przr/PMi88QHBrM2T/PErc5jsZNG+NX3M/jvn7+/mdWLVlFqw6t+P6b71n3+TqmzLHKu+tfuvLEw09wd/O7adKiCQgc2n+I/53+H3fcfQdtOrXhg8kfsGrJKlq2b8m2zdvYsGoDNetfXb38/LnzRFSKoERgCc78cYb3//m+S3hhqbvonDhKKZXP1KxZkxdffJGOHTsSFBTEa6+9Rs+ePTPE69+/PytWrKBNmzaUL3+lu2lISAjr1q1jyZIlREZGUrJkSTp37uyYod8Tf39/3nvvPUaOHIm/vz9PPfVUhmFEs2fPJikpifDwcO69915H40b6kKTHH3+ckSNH0r9/f0qWLEmFChV46aWXMn0k5A8//ECzZs3w9/endu3aNGzYkOHDh+c4rfvuu49jx44REhJC+/btGTJkiCPPzzzzDEFBQZQvX54qVarg5+eXoQu2uzZt2tC3b1/uvPNOypQpw4IFCzI8SePll19mzJgxlCxZksGDBwPWhMHVq1enefPmlChRgrp16/Kf//wnwy9fzrp3787nn39OyZIleeyxx3jnnXccDUN16tRh2bJlTJ48mdDQUIKDg+nXr59jKFiVKlVYsGAB48aNIygoiDfffNPxpKyr8eabb7Jx40YCAgK47777aN++vUt4t27diIiIICQkhKCgIA4cOJBt3pRSShVOha3u0rRpUx65/xGq161O3yf6AtC5d2ce/eujjHtmHPfXup8Od3Zg+uTpXEq95Ni+wZ0NSDiRQExUDMP+Mowej/UgprPVSNVrUC9KBJSgXcN2dG7Smdt8byM0ItRjPtLd3fxu2j3cjn7t+9G6bmvWLF9D87bNXeL8ddRfeX/i+9xf635eGfkKAC9MfIGKVSryRNcnaFatGT1a9mDNsjVZ1l1adWjF12u+pmWtlowfPp6RL490NAxVrVGVSR9PYs4Hc4hpEEOb+m14cdiLnDlt/YAWHhnOa1Nf44M3P+D+mvczZ9ocOvbsmOWxeTJs7DC2f7ed5tWb83jnx7mv1X0u4YWl7iIF+dFa1yI6Oto4d+tTBYuI3JI9RHLToaGS7SP1btVy/uCu3ZSLzJ2eOFfbK6IgWrVqFR07duTChQtZ3vRvhtjY2AxPH1D50+7du11+iU0nItuMMbf+G+UG0LqLUoVXZp+h6trcqLpLXFxc5k9VysTUN6ay/bvtvDvv3Wver/LgKDe83p3f6y46nEoppVSOpD9iu27duhw4cIAXXniBRx55JNcbcJRSSimlckLrLupWpMOplFJK5cgff/xBly5d8Pf3595776VevXq89dZbeZ0tpZRSSimPtO6ibkXaE0cppVSOtGjRgr179+Z1NgBrOJVSSimlVFbyU91l0LOD8joL6hahPXGUUkoppZRSSimlCgBtxFFKKaWUUkoppZQqALQRRymllFJKKaWUUqoA0EYcpZRSSimllFJKqQJAG3GUUkoppZRSSimlCgBtxFFKKZWvNG/enPHjx9/QNAcOHEi/fv1uaJpKKaWUUgCDuw5m+uTpNzTN8cPHEzs09oamqW4N+ohxpVSh1rJhJAlHf7/p+wkJr8ixwwdv+n7yQmxsLJs2bWL16tV5nRWllFLqlhcSHsKJIydu+n7KhZXjePzxm76fvKB1F1WQaSOOUqpQSzj6OxUmm5u+n0ND5abv42ZITU3F29s7r7OhlFJKKduJIycgNhf2E3vzG4puBq27qFudDqdSSql86O2336ZSpUqUKFGCsLAwRo8eDcChQ4fo2rUroaGhhIaGMmjQIM6ePevYTkSYPHkyUVFRlChRghYtWrB3715H+Ny5c6lfvz4BAQGEhoYyePBgzp8/7wiPjIxk3LhxtGjRguLFi7Nw4UJ+/PFHmjVrRpkyZShZsiRt27Zl3759AMybN49XXnmFr776Cn9/f/z9/dm/fz8AGzdu5N5776VUqVJUqVKFN954A2Ny1mCWkJBA+/bt8ff3p3bt2qxYscIlfMmSJdxxxx0EBQVRs2ZNZs2a5RL+4YcfUqVKFQICAujbty/JyclXUfpKKaWUulqFve5y5o8zDHt0GE1vb0r3Ft35eu3XLuFfrfyKvjF9aVGzBd2adWPFIte6zWdzP6NTk040r96cMf83hosXL15F6avCRBtxlFIqn9mzZw/PPfccy5Yt4+zZs+zcuZOHHnqI5ORk7r//fmrVqsX+/fvZtWsX8fHxDBkyxGX7qVOnsmDBAk6ePEnt2rV56KGHSEtLAyAwMJDZs2dz5swZNm7cyMaNGzPMPzNt2jQmTZrEuXPn6NixIyJCbGwsR44c4eDBg/j7+9OnTx8AHnnkEUaPHk3z5s05d+4c586do3LlyuzcuZN27doxYsQITp06xfLly5kyZQqffPJJjspg+vTpDBkyhDNnzjB69Gg6d+7MwYMHAfjyyy957LHHmDx5Mn/88Qcff/wxTz/9NBs2bACsCthTTz3Fv//9b/744w9at27NvHnzrueUqEJKRLxEZKKInBKRsyKyUETKZBK3nYisFZEEEfmfiGwUkfvc4hgRSRKRc05LYO4cjbrVhYSHICK65IMlJDwkry+HXKd1F6sRpsfAHqzdvZb+/9efkQNHcvTwUQC2bNjC+GfH88yLz7Bm5xpiJ8cy8YWJfP/t9wD8sOUHJvx9As+/9jyrd66mcdPGfPnZl9d1TtStS4dTKaVUPlO0aFGMMezcuZOKFSsSFBTEXXfdxYIFCzDGMG7cOAB8fX156aWXaNKkCdOmTcPLywuAZ599lqpVqwIwYcIESpYsyZYtW2jSpAlt27Z17Kdq1ao8+eSTzJw502X/jz/+OA0aNHDso169eo6wYsWKMXbsWOrWrcv58+cpXry4x2N477336NatGx07dgSgRo0aPP3008ycOZNHH3002zLo1KkTrVu3BqB379689957zJ49m9GjR/PWW28xZMgQ7rvP+n5855130qdPH2bOnEnTpk2ZOXMmXbt2dWz/6KOP8v7772e7T6U8eA7oCDQGTgMfAp8AbT3ELQn8C1gHnAMeB1aISE1jzGGneA8YYzbd1FyrQim3htio7BXUYUjXQ+su0KxNMxo3bQxA2y5tWThzIasWr6L/3/oz94O5PDLwERo0tvJYu0Ft2nZpy+cLPqfhXQ1ZvmA597e737H9g90eZNGni7LdpyqctBFHKaXymcqVKzNr1izee+89Bg4cSL169RgzZgwHDhzg0KFDBAUFucQXEY4fP05YWBhgdStO5+fnR9myZYmPjwesXizjxo3jl19+4eLFi6SlpREcHOySnvP2APv27WPEiBFs2bKFs2fPImLN75OQkJBpRejAgQOsXbuWRYuuVEAuX75MREREjsrAPQ+RkZGOYzhw4ADr1q1j0qRJjvC0tDRHo058fDzR0dEu21eqVClH+1XKzSBgnDFmP4CIjAT2ikikMeagc0RjzCy3bd8TkXFANHAYpZS6hWndBUIjQjO8PnHMatA7cvgIcZvjmD119pW00y4T1TgKgJPHTlKzXk2X7ctXKJ+j/arCR4dTKaVUPtSlSxe+/PJLEhIS6N69Ox07dqRcuXJUq1aNM2fOuCzJycmOShDgGHYEkJSUxKlTpwgPDyclJYVOnTrRo0cPDh06RGJiIq+//nqGsd5FirjeGp544glKlCjBTz/9RGJiIl9/bY3xTt/OPT5AxYoVGTBggEs+ExMT2blzZ46O3/kY0l+Hh4c70o6NjXVJ++zZs3z++ecAhIWFZdj+wIEDOdqvUunsYU4VgG3p64wx+4BEoF5m2zltXw8oDexwC/qPPeRqi4h0yWL7QSISJyJxp06duqZjUEqp3FTY6y7HDh/L8LpcaDkAQsNDGfTsINbtXudY1u9Zz1ufvAVAcEhwhu2PHjqao/2qwkcbcZRSKp/59ddfWblyJUlJSXh7exMYGIiI0LVrV1JTU3nllVc4e/YsxhiOHDnC4sWLXbZ/88032bdvH8nJyTz33HNUrlyZxo0bk5KSQnJyMiVLlsTX15ddu3YxZcqUbPOTmJhI8eLFCQoKIiEhgTFjxriEh4SEcOjQIVJSUhzrnnzySebOncvSpUtJTU3l0qVL7Nq1i/Xr1+eoDJYsWcKaNWtIS0tjzpw5bN26lR49egAwdOhQJk+ezMaNG0lLSyMlJYVt27YRFxcHWMOnFixYwJo1a7h06RKffvop3333XY72q5STAPvvn27rzziFeSQiwcACYIIx5jenoFZAJSAcmATMEpEYT2kYY6YaY6KNMdFly5a9lvwrpVSu0boLrF+1nu82fkdaWhqrlqxi14+7aN3RGtrdc2BP5nwwhx+2/EBaWhqpKans/mk3u37cBUC7ru1Y+/lavtv4HZcuXeLzhZ+zc3vOGo9U4aONOEoplc+kpKTw4osvEhoaSlBQEG+//TYLFy7Ez8+PNWvWsGvXLmrUqEFgYCAtW7Zk+/btLtsPHDiQLl26ULZsWX788Uf++9//4uXlhb+/P++99x4jR47E39+fp556il69emWbnzfffJONGzcSEBDAfffdR/v27V3Cu3XrRkREBCEhIQQFBXHgwAHq1KnDsmXLmDx5MqGhoQQHB9OvXz9y2qPgscceY9KkSQQGBjJu3DgWLVpE5cqVAXjggQeYOnUqI0aMoEyZMoSGhjJs2DDOnTsHQNOmTfnXv/7FwIEDKVWqFCtXruSRRx7J0X6VcpL+6BT3iYeDsHrjeCQi5bHmxfkCeN45zBizxhiTbC/zgE+B3jcuy0oplTe07gIP9XiI2VNn06JGCz548wMmTJtAeEWrF/Fdze5i9Oujefult2ldtzVtG7Tlzdg3uXD+AgAN72rI8JeG8/KIl2lVuxXffPUNrR9qnaP9qsJHcvrItFtFdHS0Sf+1VhU8IkKFyYXrmr3RDg2VbB+VeKuW8wd37aZcpOt445YNI0k4+vtN33dIeEWOHT540/cjIo7HYyqVH+zevZuaNWtmWC8i24wx0R42yTdE5HfgRWPMh/brysA+oJL7nDh2eCSwBlhsjBmeg/TfB4obY/pkFU/rLionREQnNs4vYsnxY6mz4+kzNCQ8xJrI+iYrF1aO4/HHb/p+CmLdJS4uDnTKmvzhKBnmQrxe+b3uohMbK6UKtTXfH7zhaaYcjrvhNxOlVJ6YCowSkXVYT6d6HViVSQNODWA1MMMY84KH8DqAH7AdMMCDQF+gx03LvVLqlpQbDStKqfxLh1MppZTKVa+88gr+/v4el40bN+Z19pRy9hqwFNgKHAG8gD4AItJbRM45xR0FhAFDReSc05I+XKos8BHwP+Ak8AIwwBjzWe4cilJKqWvlXndp2rQpTW+3lh+2/JDX2VOFjPbEUUqpW0hBGCI7evRoRo8endfZUCpbxpg0YLi9uIfNAmY5ve4P9M8irXVA7ZuQTaWUKtAKYt1Fh1OpvKQ9cZRSSimllFJKKaUKAG3EUUoppZRSSimllCoAtBFHKVVoXAaMuZzX2VCq0Lh8Wd9vSil1vfSzVKncUxDeb9qIo5QqNHadKc65hCOYSykFYvy1UgWVMYaUlBSOHDlC8eLF8zo7SilVYBUvXpwjR46QkqJ1F6VupoJUd9GJjZVShcaUX8OJOZtA69Df8St6CblJ+0n7XwK7d+++SakrVTAULVqUwMBAypQpk9dZUUqpAis8PJyEhAR+//13Ll26lNfZUbaEhARIzetcKAD+5IbVuwtK3UUbcZRShcYlU4RlR4JZdiT4pu7n0NBa+muZUkoppa5bkSJFCA4OJjj45tZd1NWpVasWxOZ1LhQAsQXjCWc3kg6nUkoppZRSSimllCoAtBFHKaWUUkoppZRSqgDQRhyllFJKKaWUUkqpAiDX5sQRES/gNaAfcBvwBTDYGJPgIW47YDhQD/ACdgCjjTEbneIY4ALWU4PThRlj/rxZx6CUUkopldtOnz7NjBkzXNbVrl2bRo0akZqayqxZszJsExUVRVRUFElJScyfPz9DeHR0NHXq1OHPP/9k8eLFGcLvvvtuqlevTkJCAsuWLcsQ3rRpUypXrszx48dZuXJlhvCWLVsSERHB4cOHWbNmTYbwmJgYQkJC2L9/Pxs2bMgQ3r59e8qUKcOvv/7KN998kyG8c+fOBAYGsmPHDuLi4jKEd+/eHT8/P7Zv38727dszhPfu3Rtvb2+2bt3Kzp07M4T369cPgM2bN7Nnzx6XMG9vb3r37g3A+vXrOXDggEu4n58f3bt3B2D16tXEx8e7hAcEBNClSxcAVq5cyfHjx13CS5cuTYcOHQBYunQpp0+fdgkPCQkhJiYGgEWLFpGYmOiS58McZg1WmXenO374uWy/n/1swCrz3vTGG2+X8D3sYTObrTTpl6FsdrKTrWzFG2960ztD+Hb7nx9+dKd7hvCtbGUnOwkggC50yRC+mc3sYQ+lKU0HOmQI38AG9rOfEEKIISZD+BrWcJjDRBBBS1pmCF/JSo5znMpUpilNM4QvZSmnOU01qtGEJhnCF7GIRBKpTW0a0ShD+Hzmk0RSobr20oWHh9OqVSurHObPJykpySW8UqVKNGvWDIBZs2aRmuo6M3C1atVo0sQqc/fPPMhfn3vp58lZfrn2oux/7mYxi1RSaUQjalM7Q/gMZgDQhCZUo5pLWCqpzMIq86Y0pTKVXcKTSGI+Vpm3pCURRLiEJ5LIIhYBEEMMIYS4hJ/mNEtZCkAHOlCa0i7hxznOSqx7TRe6EEDAlcB+1vWeG9defpGbPXGeAzoCjYFwe90nmcQtCfwLqAqUBWYDK0Qkwi3eA8YYf6dFG3CUUkoppZRSSil1S5LcmslZRH4HxhljptuvqwB7gUrGmIM52P4UMMgYs9h+bYD7jDGbriYf0dHRxtMvNqpgEBEqTC5cs4/faIeGSrYzuGs5X5+clLFShZ2IbDPGROd1PgoCrbuonBARfVpOfhFb+J6WU9jo+y0fic2991t+qbvkSk8cEQkEKgDb0tcZY/YBiVhDprLbvh5QGmtYlbP/iEiCiGwRkYz9MZVSSimllFJKKaVuEbk1nCp90Jr7cKczTmEeiUgwsACYYIz5zSmoFVAJa2jWJGCWiGQcGGulMUhE4kQk7tSpU9eSf6WUUkoppZRSSqk8lVuNOGftv4Fu64OweuN4JCLlgXVYkyA/7xxmjFljjEm2l3nAp+BhdjUr7lRjTLQxJrps2bLXegxKKaWUUkoppZRSeSZXGnGMMWeAQ0DD9HUiUhmrF85PnrYRkUhgI7DCGPO0yX6g22VAbkR+lVJKKaWUUkoppfKb3Hw61VRglIhUEpEA4HVgladJjUWkBrAJmGOMGe4hvI6I3CkiPiLiLSKdgL5AxmfJKaWUUkoppZRSSt0CcrMR5zVgKbAVOAJ4AX0ARKS3iJxzijsKCAOGisg5pyV9uFRZ4CPgf8BJ4AVggDHms9w5FKWUUkoppZRSSqncVTS3dmSMSQOG24t72CxgltPr/kD/LNJaB9S+CdlUSqlcERoRyfH43/M6GwVaSHhFjh0+mNfZUEoppa5ZSHgIJ46cyOtsKKBcWDmOxx/P62wola1ca8RRSil1xfH436kwObupvlRWDg3VadCUUkoVbCeOnIDYvM6FAjgRq41pqmDIzeFUSimllFJKKaWUUuoaaSOOUkoppZRSSimlVAGgjThKKaWUUkoppZRSBYA24iillFJKKaWUUkoVANqIo5RSSimllFJKKVUAaCOOUkoppZRSSimlVAGgjThKKaWUUkoppZRSBUDRvM5Abjt9+jQzZsxwWVe7dm0aNWpEamoqs2bNyrBNVFQUUVFRJCUlMX/+/Azh0dHR1KlThz///JPFixdnCL/77rupXr06CQkJLFu2LEN406ZNqVy5MsePH2flypUZwlu2bElERASHDx9mzZo1GcJjYmIICQlh//79bNiwIUN4+/btKVOmDL/++ivffPNNhvDOnTsTGBjIjh07iIuLyxDevXt3/Pz82L59O9u3b88Q3rt3b7y9vdm6dSs7d+7MEN6vXz8ANm/ezJ49e1zCvL296d27NwDr16/nwIEDLuF+fn50794dgNWrV9OvXz+KnZ3hCD9fJIANxbsA0DhpJaXSjrtsn+hVmq/9OgBwT9JSAtJOu4T/4RXCFr8YAJqeX0Txy4ku4SeLhrPNtxUA95+fT7HLSS7hR70r8eNtzQB44NwsvEyqS/hh72rsuK0JAG2d8p3ugE9tfinWCC+TygPnMl57v/lEsbdYFMUuJ3H/+YzX3i/FojngU4fil/+k6fmM196O2+7msHd1AtISuCfJuvYu9uvneA9kdu2ll/M235acLBpB8KXD3HEh47W3xTeGP4qGUD51P/WTM157X/u1J9GrDBGpv1InOeO1t6F4Z84XCaRSyg5qXMx47a0t3p2LRfyoenE7t6dkvPa+8O9NmnhT4+JWKqVkvPZWlOgHQJ3kzUSkul57aeLNF/7WtVc/eT3lU12vvYtF/Fhb3Lr27riwmuBL8S7hWV17F/v1Y+nSpXToYF17S5cu5fRp12svJiaGXfb/C8u15+zH25py1LsypS4dp/GFIT+70wAAIABJREFUjJ97Obn2DkGh+NyLj3e99gICAujSxbr2Vq5cyfHjrp97pUuXzvLaCwkJISbG+txbtGgRiYmu1154eDitWlnX3vz580lKcr32KlWqRLNm1rU3a9YsUlNdr71q1arRpIl17bnfb+HKPVcppZRSSl097YmjlFJKKaWUUkopVQCIMSav85CroqOjjadfXVXBICJUmFy4rtkb7dBQIbv3vZbz9dEyzh05KWeVf4nINmNMdF7noyDQuovKCRGB2LzOhQIglhzfn/S85SOxet4KpNicn7frlV/qLtoTRymllFJKKaWUUqoA0EYcpZRSSimllFJKqQJAG3GUUkoppZRSSimlCgBtxFFKKaWUUkoppZQqALQRRymllFJKKaWUUqoA0EYcpZRSSimllFJKqQJAG3GUUkoppZRSSimlCgBtxFFKKaWUUkoppZQqALQRRymllFJKKaWUUqoA0EYcpZRSSiml/p+9Ow+XrKjvP/7+MKAoMMM2uIBs7jvgGE1+ghBc0CQQjYmyKOKCJjGKkQAmJCFoFESJS1wg7ohiIihuCBJR0WhkERCXIOCAIMuAzDDsAt/fH3UuND136Xu5y/Sd9+t5+rm3q+qcU+ec7j7V366qI0nSEDCII0mSJEmSNAQM4kiSJEmSJA0BgziSJEmSJElDwCCOJEmSJEnSEDCII0mSJEmSNAQM4kiSJEmSJA0BgziSJEmSJElDwCCOJEnSKJIsSHJUkmVJViY5McmmY5R9YZJvJbkuyQ1JzkyyY1+ZRyU5PcnNSa5I8pbZ2RNJkjRfGMSRJEka3SHAHsAzgC26tOPGKLsR8AHgUcBi4LPAKUkeAS0gBHwF+HmXvztwcJKXzljtJUnSvGMQR5IkaXT7A0dW1aVVtQI4CNgtydb9Bavq+Kr6YlUtr6o7q+rDwK3Akq7ITsBWwFur6paqOhc4Bnj9bOyIJEmaHwziSJIk9UmyCNgSOGckraouAW4EnjLA8k8BNgEu7JKeClxUVTf1FDu3S5ckSRqIQRxJkqRVLez+ruhLX96TN6okmwFfAN5VVb/skjeYzLqS7J/k7CRnL1u2bFIVlyRJ85dBHEmSpFWt7P4u6kvfkNYbZ1RJHg6cAZwGvLVvfQOvq6qOraolVbVk8eLFk6m3JEmaxwziSJIk9amq5cDlwA4jaUm2pfWcuWC0Zbq5cs4ETqmqN1RV9WSfDzwmyXo9adt36ZIkSQMxiCNJkjS6Y2l3kNomyULgSODUqlraXzDJ44DvAZ+rqgNHWdd3gcuAdyR5UJLtgNfRJjeWJEkaiEEcSZKk0R1Buy34WcCVwAJgH4AkeyfpnaT4YGBz4IAkN/U89gaoqruAPwGeBFwPfB04qqpOmLW9kSRJQ2/tua6AJEnS6qgLvBzYPfrzjgeO73m+H7DfBOu7GNh1mqspSZLWIPbEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkobArAVxkixIclSSZUlWJjkxyaZjlH1hkm8luS7JDUnOTLJjX5lHJTk9yc1JrkjyltnZE0mSJEmSpNk3mz1xDgH2AJ4BbNGlHTdG2Y2ADwCPAhYDnwVOSfIIaAEh4CvAz7v83YGDk7x0xmovSZIkSZI0h2YziLM/cGRVXVpVK4CDgN2SbN1fsKqOr6ovVtXyqrqzqj4M3Aos6YrsBGwFvLWqbqmqc4FjgNfPxo5IkiRJkiTNtlkJ4iRZBGwJnDOSVlWXADcCTxlg+acAmwAXdklPBS6qqpt6ip3bpY+2/P5Jzk5y9rJly6a2E5IkSZIkSXNotnriLOz+ruhLX96TN6okmwFfAN5VVb/skjeYzLqq6tiqWlJVSxYvXjypikuSJEmSJK0OZiuIs7L7u6gvfUNab5xRJXk4cAZwGvDWvvVNal2SJEmSJEnDbFaCOFW1HLgc2GEkLcm2tJ4zF4y2TDdXzpnAKVX1hqqqnuzzgcckWa8nbfsuXZIkSZIkad6ZzYmNj6XdQWqbJAuBI4FTq2ppf8EkjwO+B3yuqg4cZV3fBS4D3pHkQUm2A15Hm9xYkiRJkiRp3pnNIM4RtNuCnwVcCSwA9gFIsneS3kmKDwY2Bw5IclPPY2+AqroL+BPgScD1wNeBo6rqhFnbG0mSJEmSpFm09mxtqAu8HNg9+vOOB47veb4fsN8E67sY2HWaqylJkiRJkrRamrUgzprgYY/YmquvuGyuqzG0HrrFVlz166VzXQ1JkiRJklZLBnGm0dVXXMaW762JC2pUlx+Qua6CJEmSJEmrrdmcE0eSJEmSJElTZBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIDBXGSLEhyaJJfJlnRpT0/yetntnqSJEmSJEmCwXvivA3YHTgYqC7tIuB1M1EpSZIkSZIk3degQZy9gD2q6iTg7i5tKbD1DNRJkiRJkiRJfQYN4qwHXNuX9gDgtumtjiRJkiRJkkYzaBDnHGC/vrS9gB9Nb3UkSZIkSZI0mrUHLHcg8O0kLwMenOQrwBJglxmrmSRJkiRJku4xUBCnqi5M8njgFcAvgMuA11TVNTNZOUmSJEmSJDUDBXGS7FRV3wXe05e+Y1WdOSM1kyRJkiRJ0j0GHU71VWDhKOknAxtPX3UkSZo+D3vE1lx9xWVzXY2h9tAttuKqXy+d62pIkiSJwYM4WSUh2YB7bzcuSdJq5+orLmPL99ZcV2OoXX7AKk0ASZIkzZFxgzhJfgkU8KAkF/VlbwZ8c6YqJkmSJEmSpHtN1BPn7bReOB8G/rUn/W7gauBbM1QvSZIkSZIk9Rg3iFNVnwJI8ouq+uHsVEmSJEmSJEn9Br3F+A+TLAAeDSymZ46c7q5VkiRJkiRJmkGD3mJ8B+AkYEvaHDnp/t4FPGDGaidJkiRJkiQA1hqw3HuBLwKLgBtptxs/BnjlzFRLkiRJkiRJvQa9xfiTgedW1e1JUlU3JTkIOA/47MxVT5IkSZIkSTB4T5zf9fy/IslmXdpDp79KkiRJkiRJ6jdoT5xzgOcCXwW+DRwH3AJcMDPVkiRJkiRJUq9Be+K8Bji/+/9vgcuA24H9ZqJSkiRJkiRJuq8Je+IkWRvYG3g/QFVdD+w/w/WSJEmSJElSjwl74lTVncDfV9Vts1AfSZIkSZIkjWLQ4VRnJHn2jNZEkiRJkiRJYxp0YuOlwMlJvtD9f/dIRlW9Y/qrJUmSNLeSLACOAF4JrAucBryuqq4bpezmwIeA7YAtgZdX1Wf6yiyl3dnzzp7k36+qn8xE/SVJ0vwzaE+c7YAfA48EdqXdqeq5wHNmqF6SJElz7RBgD+AZwBZd2nFjlL2bFuTZC7hinHW+pqrW73kYwJEkSQMbqCdOVe0y0xWRJElazewPHF5VlwIkOQi4OMnWVbW0t2BVXQV8sCt312xXVJIkrRkG7YkjSZK0xkiyiDYs6pyRtKq6BLgReMr9WPXRSX6b5Lwkr7uf1ZQkSWuYgXriJFkMvJc2lGpxb15VLZiBekmSJM2lhd3fFX3py3vyJmtfWlDodmBn4IQkVNUx/QWT7E/rCcSWW245xc1JkqT5ZtCeOO8HNgdeDdwM7A78D3DADNVLkiRpLq3s/i7qS9+Q1htn0qrqO1V1U1X9rqq+CRwN7DNG2WOraklVLVm8ePFoRSRJ0hpo0CDOHwJ/UVVfA+7u/u4NvHzGaiZJkjRHqmo5cDmww0hakm1pvXAumKbN3A1kmtYlSZLWAIMGcdYBlnX/35pkvaq6HHjczFRLkiRpzh0LHJxkmyQLgSOBU/snNR6RZN0k69ICM+t0z9fu8rZKskuXtiDJs4E3A5+fnV2RJEnzwaBBnIu495eo84G/7+7QcM2M1EqSJGnuHQF8BTgLuBJYQDf8KcneSW7qK39r99gS+Hj3/6Fd3nq04VPLgBtod7I6vKo+MMP7IEmS5pGBJjYG/h54YPf/PwCfAzagm3BPkiRpvqmqu4ADu0d/3vHA8X1pYw6NqqqfAdtPdx0lSdKaZaAgTlV9q+f/c4DHzFiNJEmSJEmStIpBh1ORZP0kL0tyYJKXJtlgMhvqxn8flWRZkpVJTkyy6RhlN09ycpLLklSSVe7ckGRpktuS3NTzePJk6iRJkiRJkjQsBgriJFkCXEqb0G8P4F3AJV36oA7pln0GsEWXdtwYZe8GTgP2Aq4YZ52vqar1ex4/mUR9JEmSJEmShsagc+J8CHhPVR05ktBNbPxh4OkDrmN/2gR+l/Ysf3GSrfvv8lBVV9Em/CPJXQOuX5IkSZIkad4adDjV44H39KUdzYC3GE+yiHanhnNG0qrqEuBG4CkD1mE0Ryf5bZLzkrzufqxHkiRJkiRptTZoT5zzgCd1f0c8ue/5eBZ2f1f0pS/vyZusfWlBoduBnYETklBVx/QXTLI/3Z20ttxyyyluTpIkSZIkae4MGsQ5Dfhqko8ClwFbA68Cjk2y10ihqvrsGMuv7P4u6kvfkNYbZ9Kq6js9T7+Z5GhgH2CVIE5VHQscC7BkyZKayvYkSZIkSZLm0qBBnFcBv6P1fhlxZ5c+ooBRgzhVtTzJ5cAOdL13kmxL64VzwSTrPJa7gUzTuiRJkiRJklYrAwVxqmqbadjWscDBSc4Arqfd6erU/kmNRyRZd+RfYJ3u+Z1VdWeSrYBtgR/QgkvPAt4MvG0a6ilJkiRJkrTaGXRiYwCSPDzJM6e4rSOArwBnAVcCC2jDn0iyd5Kb+srf2j22BD7e/X9ol7cebWLlZcANtDtZHV5VH5hi3SRJkiRJklZrA/XESbIZbajUHwK3AOsneSnw7Kr6q0HWUVV3AQd2j/6844Hj+9LGHBpVVT8Dth9ku5IkSZIkSfPBoD1x3g/8ClhMG74E8C3geTNRKUmSJEmSJN3XoBMb7wJsVVW3JSmAqlqWZPHMVU2SJEmSJEkjBu2Jczt9AZ8kGwO/nfYaSZIkSZIkaRWDBnFOA96TZJ2etMOAr017jSRJkiRJkrSKQYdTHQR8iXYnqHWTLAfOA/50piomSZIkSZKkew0UxKmq3wI7JVkCbA1cBpxdVTWDdZMkSZIkSVJn0J44AFTV2cDZSTY0gCNJkiRJkjR7xg3iJPlz4IaqOr17/kTgK8BWSX4K/ElVXTbz1ZQkSdJseOgWD+WaK6+Z62oIeMjmD+HqK66e62pIklYjE/XE+TvgzT3PPwD8Cngj8Hrg7cDLZ6ZqkiRJmm3XXHlNu32F5tw1hxlMkyTd10RBnEcCZwMkWQTsBDyhqi5Kch7wgxmunyRJkiRJkpj4FuNrV9Xt3f9PA5ZV1UUAVXUFsOFMVk6SJEmSJEnNREGcy7s7UgHsAnx/JCPJJsAtM1UxSZIkSZIk3Wui4VQfAr6c5LvA7sBLevJ2AX46UxWTJEmSJEnSvcYN4lTVh5MsB34feEVVfb0newPg/TNZOUmSJEmSJDUT9cShqj4HfG6U9E/MSI0kSZIkSZK0ionmxJEkSZIkSdJqwCCOJEmSJEnSEDCII0mSJEmSNAQM4kiSJEmSJA2BCSc27pVkLWA/YHvgYuCYqrp1JiomSZIkSZKke022J85RwC7AT4CdgM9Me40kSZIkSZK0inF74iTZvaq+3JP0tKraucv7KHDdDNZNkiRJkiRJnYl64rw+yWeTbNw9/1WSf07yXOBdwAUzWz1JkiRJkiTBBEGcqnohcCrwP0leCrwReCBwALAO8LIZr6EkSZIkSZImnti4qj6V5BvAB4G9gNdX1VUzXjNJkiRJkiTdY8KJjZMEuKuqXgIcB3wryatmvGaSJEmSJEm6x7hBnCR7ANcCP0lyOfAb4A+AZyf5ZpKtZqGOkiRJkiRJa7yJeuK8H9itqh4GvAQ4oqpuqKp9gaOBr890BSVJkiRJkjRxEOeBtN43AFd1zwGoqlOAZ8xQvSRJkiRJktRjoomN/wW4IMlFwDbAX/VmVtVNM1UxSZIkSZIk3WvcIE5VfTjJicBWwMVVdcPsVEuSJEmSJEm9BrnF+LW0yY0lSZIkSZI0Rya8xbgkSZIkSZLmnkEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZJGkWRBkqOSLEuyMsmJSTYdo+zmSU5OclmSSrLPKGU2S3JSt65lSY5MYltMkiQNzIaDJEnS6A4B9gCeAWzRpR03Rtm7gdOAvYArxihzfPd3i26dLwL+blpqKkmS1ggT3mJckiRpDbU/cHhVXQqQ5CDg4iRbV9XS3oJVdRXwwa7cXf0rSrIN8BzgUVW1AliR5EjgUODIGd0LSZI0b9gTR5IkqU+SRcCWwDkjaVV1CXAj8JQprPKpwIpuHSPOBbZOsvD+1FWSJK05DOJIkiStaiSwsqIvfXlP3mRsMMa6erd1jyT7Jzk7ydnLli2bwuYkSdJ8ZBBHkiRpVSu7v4v60jek9caZyvpGW1fvtu5RVcdW1ZKqWrJ48eIpbE6SJM1HBnEkSZL6VNVy4HJgh5G0JNvSes1cMIVVng8s6tYxYntgaTdHjiRJ0oQM4kiSJI3uWODgJNt089YcCZzaP6nxiCTrJlkXCLBO93xtgKr6FXA68K4kC7uJjg8GjpmNHZEkSfPDrAVxkixIclSSZUlWJjkxyaZjlN08yclJLktSSfYZpcxmSU7q1rUsyZFJDEpJkqTpcgTwFeAs4EpgAbAPQJK9k9zUV/7W7rEl8PHu/0N78vemtb2u7NZ5MvCuGay/JEmaZ2bzFuOHAHsAzwCupzVujgNeMErZu4HTaA2bE8ZY3/G0MeRbAJsA3wB+i7fplCRJ06Cq7gIO7B79ecfT2iK9aZlgfdcCL57OOkqSpDXLbAZx9gcOr6pLAZIcBFycZOv+bslVdRXwwa7cXf0r6rogPwd4VDeOfEWSI2m/dhnEkSRJkiRJ886sDD9KsojWtfickbSquoR2d4enTGGVTwVWdOsYcS6wdTdmXZIkSZIkaV6ZrTlkRgIr/XdfWN6TNxkbjLGu3m3dI8n+Sc5OcvayZcumsDlJkiRJkqS5NVtBnJXd30V96RvSeuNMZX2jrat3W/eoqmOraklVLVm8ePEUNidJkiRJkjS3ZiWIU1XLgcuBHUbSkmxL6zVzwRRWeT6wqFvHiO2Bpd0cOZIkSZIkSfPKbN6S+1jg4CTbdPPWHAmc2j+p8Ygk6yZZFwiwTvd8bYCq+hVwOvCuJAu7iY4PBo6ZjR2RJEmSJEmabbMZxDkC+ApwFnAlsADYByDJ3klu6it/a/fYknY78ltpd58asTet/ld26zyZdktySZIkSZKkeWfWbjFeVXcBB3aP/rzjgeP70jLB+q4FXjyddZQkSZIkSVpdzWZPHEmSJEmSJE2RQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkiRJkoaAQRxJkiRJkqQhYBBHkiRJkiRpCBjEkSRJkiRJGgIGcSRJkkaRZEGSo5IsS7IyyYlJNh2n/G5Jfprk1iQXJnleX34luSXJTT2PRTO/J5Ikab4wiCNJkjS6Q4A9gGcAW3Rpx41WMMm2wEnAO4FF3d8vJtm6r+jzqmr9nseKmai4JEmanwziSJIkjW5/4MiqurQLthwE7DZKYAZgX+CcqvpMVd1RVccD53bpkiRJ08IgjiRJUp9umNOWwDkjaVV1CXAj8JRRFnlqb9nOuV16r/9Kcl2S/03y4mmssiRJWgPMWhDHceWSJGmILOz+9g93Wt6T12uDAco+B9iGNjTraOD4JLuNtvEk+yc5O8nZy5Ytm2zdJUnSPDWbPXEcVy5JkobFyu5v/w9EG9J644xWftyyVfXfVXVb9/g88Blg79E2XlXHVtWSqlqyePHiKe2AJEmaf2YziOO4ckmSNBSqajlwObDDSFr3I9NC4IJRFjm/t2xn+y59LHcDuX81lSRJa5JZCeI4rlySJA2hY4GDk2yTZCFwJHBqVS0dpeyngSVJ9kyyTpI9gacBnwJI8qQkv5fkAV3+nwIvB/5zdnZFkiTNB7PVE8dx5ZIkadgcAXwFOAu4ElgA7AOQZO8kN40U7H6cejFwKO1HqkOBF/UEfBYDnwBuAK7t8l9VVV+elT2RJEnzwtqztJ0ZGVfek/f5JM+hjSv/Rv/KqupY2q9pLFmypCZVc0mStEaqqruAA7tHf97xwPF9ad9glHZIl3cG8MQZqKYkSVqDzEpPHMeVS5IkSZIk3T+zObGx48olSZIkSZKmaLaGU0EbV74RbVz5A4Fv0jOuHDimqtaHNq68m6j4PcDHgUtZdVz5vwNbA3cAl+C4ckmSJEmSNI/NWhDHceWSJEmSJElTN5vDqSRJkiRJkjRFBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQgYxJEkSZIkSRoCBnEkSZIkSZKGgEEcSZIkSZKkIWAQR5IkSZIkaQjMWhAnyYIkRyVZlmRlkhOTbDpO+d2S/DTJrUkuTPK8vvxHJTk9yc1JrkjylpnfC0mStKaw7SJJklY3s9kT5xBgD+AZwBZd2nGjFUyyLXAS8E5gUff3i0m27vIXAF8Bfg4sBnYHDk7y0pmrviRJWsPYdpEkSauV2Qzi7A8cWVWXVtUK4CBgt5HGTZ99gXOq6jNVdUdVHQ+c26UD7ARsBby1qm6pqnOBY4DXz/ROSJKkNYZtF0mStFpJVc38RpJFwHJg+6o6ryd9BfDyqvpyX/kvAUur6oCetPcBj6iqFyc5AHhlVW3Xk/8i4GNVtfEo29+f1hADeCzwf9O3d0NlU+C6ua7EGsDjPPM8xrPD4zzz1uRjvFVVLZ7rSozFtsvQW5PfW8PM8zacPG/DyfM2eatF22XtWdrOwu7vir705T15vTYYo+wTJ8gfbV1U1bHAsYNWdr5KcnZVLZnresx3HueZ5zGeHR7nmecxXq3ZdhlivreGk+dtOHnehpPnbXjN1nCqld3fRX3pGwI3jlF+vLIT5UuSJN0ftl0kSdJqZ1aCOFW1HLgc2GEkrZsAcCFwwSiLnN9btrN9lz6S/5gk642RL0mSNGW2XSRJ0upoNic2PpZ2F4ZtkiwEjgROraqlo5T9NLAkyZ5J1kmyJ/A04FNd/neBy4B3JHlQku2A19EmCNTY7JY9OzzOM89jPDs8zjPPY7x6s+0yvHxvDSfP23DyvA0nz9uQmpWJjeGeW2seCbwSeCDwTWD/qrouyd7AMVW1fk/53YD3ANsClwJvrqrTevIfRWv4/D5tTPnRVfXuWdkZSZI079l2kSRJq5tZC+JIkiRJkiRp6mZzOJUkSZIkSZKmyCCOJEmSJEnSEDCIMweSLEhyVJJlSVYmOTHJphMs8+0ktye5qefxx7NV59VRkpclOTPJjUnuHCV/8yQnJ7ksSSXZZ4B1TrhMkqVJbus7F0+erv1anUx0jLsymyX5VJLru3LnJXn4OOt8RZL/SXJDkuuSnNJ//JIsSfKjJLckuWSQczffJDkyyU+7Y/qbJP+RZOO+Mq/ojs8tSf43ydPmqr7DKslzkvywex9fl+RDE5R/Y3esb0ly8RhlPC/S/TDA9f3A7j22Mskvk/zVBOsb5Lrz4iQXdJ8F/5fkz6d7v+a7JP+a5Ffdebs2yReSbNmTP+XPxiSf79plzxoj/y+7/EOnY1/WREnW6t4nlWSLLu2VSe7ua/N+boB17ZDk9O49ekOSL/fl79a1cW5NcmGS583Ufq1pxmvX2D6ZPwzizI1DgD2AZwBbdGnHDbDc26pq/Z7HV2eshpOUZJ052OwNwIeAA8bIvxs4DdgLuGLAdQ66zGv6zsVPBlz/jEqz9jSuctxjnGRd4L+BO4DHAhsCewM3jbPODYB/pr32NwfOBU5L8qBunYuAU4ATgY2A1wMfSfL707A/99ssvtbvAvYBNgGeSjten+ipx7OADwN/STtOJwJfT7uDziqSfDLJYTNc5ymZo88PkuwMfAF4N+04bwF8dILFfgO8C/jXMdY5qfMy2+bqWEuTNOa1J8nuwL8Ae1fVBsArgKOSPHec9U103Xkm8JluewuBA4E2sq+KAAAgAElEQVTjkzxj2vZozXAcsF1VLQS2Bi4HToD799mY5MW0z+ix8rcC3gKsFm2xIfZm4JZR0i/ta/PuOd5KkjwOOIN2fX0osBnwtp78bYGTgHcCi7q/X0yy9XTsxJpsvHbNfGo3CqgqH7P8oN1i9NU9zx8JFLD1OMt8Gzh0wPU/nvalerOetABLgZd3zx9Me4P/Cvgt8A3gUT3lXwacD9wIXEW7m8Z6PflLgX+ifUjf3JXfHvgesKJb5/8AG83C8dwZuHOCMkuBfSa53lGXmcy6gBcAy4AH9KRtQAty7Ng93wT4GPDrrux/Ag/pKf8m4BfASlqD6J3Agp786sqcDdwKPBN4DvDj7vxdB5w+E8eYdnvcXwPr3I91r9ftw/bd8/26/UxPmeOAT4yx/JHAyX1pf9jt+3rd8ycBp3bHYuQYrtNT/hPdfqwEfgbs1b/vwMtpd5tZ2aW/sXv/rASuBN4xw6/zPwJW9Dz/FHBcz/N0+7bvGMt/EjhsgO0s6PbnRX3pnwY+1vP8tcCFtPf7j4Hn9eQ9FfhOd7xvoAXlHtlXl+O74/5bWqNiI+C/gOu7dV448h6ZwWP6A+CIKS77SuDiUdIne17+l3YHo960w4H/7nn+p8A5tLsZ/Zz25XUkbwva5/ey7ridCTytJ/8w4Fu0z/trunPxANptRa/t3icXAS+ZyWPtw8dUHoxy7QH+FvifvrQfAAdOYr391513AV/sK3MG8PG5PgbD+uiO8buB67vnk/ps7Cm3Ce3au213zp41SpnTgZcyibayj1WO4WOAS4DtuuO8RZc+6rVugnV9DjhhnPx/Ac7sSzsT+Oe5Pg7D/hivXTOF9sknGaDd6GNuHvbEmWVdL4MtaQ1yAKrqElpD+ikTLH5Akt923Q/fOtYvqlX1c+CHwL49yc+lRbu/0D3/KPA42hf+h9K+SHy1Z50raL1RNgR27B79XVRfS2tMrQ+cDHyQ1otlY+AhXd4dE+zTsDq6OxfnJXndOOVOpQW59uhJ2xP4dVWdmSTAl2gXzCcBW9GCAp/tKX8FLRi0sFvPq4DX9G3n1bQGzPq0L9SfBt5PO+ebM0avgWmwCy3ocUzacKpfJPnbSa5jV9ovPyNDU54KnFvdFaRzbpc+mmOBFyR5WE/aa4DPVtXNSTajBRROAh5Ou7Xvc4G39pT/Hq3hsiHtC/QnkzyhJ38B7RxsDzwkyWOAI4A/rvZL8BOB+3QVngG7Ahf0PH8q9/0cKdq5H+s4DaSq7qIFFe95jXWfWy8B/qN7vj9wMK3X1UbAPwAnpd0+Gdrr+TDaa29rWtDyM32b+nNa8GEx7RfUv6MFl7einYcXM3gPuklLsh7we8BtSc7tuhx/O8mS+7nqyZ6XY2jv35F6rUVrNI8c6+fSzscBtM/WfYF/T7JTt8hatB4LW9E+y8+lnYve68NOtGD8I4A/69b/dODx1X4x35X2PpaGwQnAwiT/rxv+sSPtC+g3JrGO/uvOWrQvNL3Wol0XNAlJ9kqygva5/ybatQCmfs36d+ADVXXpGNt7HXBLVX3+flZ9jdVddz5Ouw4vH6XII5JcneTXSU5Iss0Eq9wFuDrJd7q24Y/6hkvd57XQGa+dpwEM0K6ZkXaj5oZBnNk30mVtRV/68p680bwVeDTtC8+raV+wDh+n/LH0fDHo/v9MVd2aNv/OnsBfVdU1VXUHLSr+MNoQL6rqlKr6aVXdXVUX074k7Nq3jf+oqh9XcystYLMl8Iiq+l1V/bCqbh6njsNqX9ovQg+hXfDeMVYgp6rupgXM+s/FyJCNp3WPv66qFVV1C3AQ8Icj45Gr6sSq+lV3nH9M65XSfy7eXVWXVNVdVXU77Vw8ktaj5/aqOmMa9ns0mwLPo/Xaehht+M/fJ9l7kIW7YMhHgbdU1coueQMm8f7ogqDfpQtaJtkIeBHdl2BaV/vzq+qYqrqjqq6k9cR5Rc86PlZV13fH7wRasGTnvk0d0nOO7qQ1+J+YZP2qWl5VPxxkn6ciyZ/RgqZv6kme1HGapI8Cz02yefd8L+CSnn18I3B4VZ3ffUZ8nfar9csAquqCqjqje+2toH2+PLNrYIz4XlV9vjvmt9Bes5vQhuWlqi6qql9Nw76MZSPaNfC1tKDGw2lB6K8n2fB+rHey5+UEWgP5md3z59OCWV/snr8JeF9Vndkd6x/RAmKvAKiqy6vqy1V1S/c5fCjtc/jRPdu4vKre073+R471+sATkqxdVb+uKoM4GhbX0n6QOoP2Wj6D9gv+hYMsPMZ156vAbkmem2TtJC8C/h/T83m6Rqmqz1bVIlqb4DDuHeI06WtWkj+ltbfeN0b+lrTPvL+8f7Ve470JuLqqThol77vAk2nXyKcDtwHf7Lue99uU9j3lH2k/LnwAODnJI7v8mWy/rMkmatd43OcRgzizb6TBsKgvfUPgxiRb5r6Th+0IUFU/qKobui88P6QNZRpvstcvAIuTPCvJJrQeHCNfakci6BckWZ5kOW1Iwzq0X2rpGjJnpk2+fCNtyMrivm0s7Xu+H+019b20ie3eNs3zs0yrJB/pOc6nDLpcVX2nqm7qAlXfBI5m/HPxMWCX7tw+ifbL3qe6vG2ABwLX9JyLS2gXyS27eu6Z5Kzu14wVwF8z8bnYg/Yl7idJfpZkrHmD7q+VwJVV9b7uC+LZtC+Ye3R1P6XnGH+kd8Gup8sZtADUR/rWOer7Y5x69PZm2Af4eVWN/NqwDfD/Ro5vd4w/TmtYjEzkd3jaRJYruvynct9jfDdtuBUA3S+Ce9MulL9J8r3M0KR8aZNr/gewe1Wd25M17nHqXm+9+7wXcEhf2qiq6nLgm7T3NLTG2H/0FNkG+GDfunah9bwhySOTnJTkyu7z4/vdcr0TuC/t2+xRtPmVPgUsS5ss+yFj1XEajHwWf6ILOt1BN8wO+IOxPosHXO/Ar98uqPIZ7u359Brg010wFtqxPrjvWL+S1jgjyaZJPp3k8u5Yj7xOe1+/S/s2+xnal9h/A67vztWjkIbDP9I+z7ajvV+fCrw5yathatedqvo2bf61o2lBolfSAqzXzfjezFNVdTXtuvHVtEn5J7pm/bTnvP19t8z7aXMQ3j3GZj4KvL37cUZT0H32vwV4w2j5VXVp96PK3d05fS3t+vPMbvn7nLdusZXAl6rqu11b+Tjg/2g/UozkT7adp4mN265hBtuNmn2r7Rfs+aqqlie5HNgBOA/umeBrIXBB9+Vp/QFWdTerdv3t3c5tST5F+2J7Pq0nwshQjMu6v4+uqmX9yyZ5AG2Iz0G08eC3JnkDbaK//jr0bvNXtKE+pN314TTanCEfH2B/Zl1VvZ7WaLu/JjoXVyX5Gu0L8Ua0C9tIw/Ay2nCrjUdrpCR5BO0L14uBU6rqjiTvBvqHfPSfi/OBlyYJ8CzaBI4XVNW3prSHYztvlLpAG05DVb1gtIWS7EDr+v62qvpAX/b5tJ40vbbv0sfyJeADSZ5Ne80f05N3GW1OoD8aY9k9aV+cnwf8rKruTnI29z2nVXWf4V10v1id1L1fXk/7lWmT7kv5tEiyH/Ae4E+q6vt92efTPkdGyob2peakrn6X0y7OI/mfBJZW1WEDbv4Y4L3da/cJ3Hfy9ctov3z/1xjLfoQ2AfBTqur6Lnj5E+57TPtfszfThmX9Q5KH0l73R9HTY2o6VdWKJEvpXqurZg/8Wdxv3PMyhmOA7yd5B/An3HcIx2XAJ6vqqDGWfSddL8rus2YDWoNsvGN9Jy0wf2Tar3P/Tvuc3glp9fc02vw1I73HfprkS8Af0+btmsp1h6r6JG0OiJHyZ9ECy5q6tWlz4zycia9ZT+xdMG2C1ocDZ7Si9/hqko9U1SG0odFPSzIyZHwR8PQkz6+qQQPva7pn0YL+F3bHeeQH/guSHFpV/XdsrO4RWPW8dc5jjGtr9/d82g8/vbbH99v9MlG7hplvN2oW2RNnbhxL+2V1m7QZwY8ETq2qpaMVTrJhkj9Osn6a7WldVCca/3ssbd6Jv6TnV/SqupY258qH0g2X6LbxoiTr0ya9XBe4oQvgPIExIvR99dw3995aejltyMmot6WeDmm3al+3qy9J1u0e6SmzblcmwDrd83GDl+Mtk2SrJLt0aQu6oMGbGexcvIrWS6S3R8PZtIvd+9J6TJFkcZKXdfnr096ny4DfpQ25ePkE9X9Ady427QIPN9C+xE36XAxwjD8JbJLkr7uyT6X1UBnzC2uS/0e7UB86WkOaNozkwUn+rtuXXWlBrGPHWmdV/a6ry7/ReiD1zin0aWBJkld1dV8rybZJduvyF9KOzTJgrSSvYoLxwUkem3Z7zAcDv6N1Ty36vizfH0neSJsU8vmjBHCgvY5enGTXLpD0Ftr79oujlJ2Kr9HO+8eAE6vqhp68fwMOS7Jd95n0oLRef4/r8hfSgpPL04Zvjjf0E4Akf5Lk8UkW0OZSuI0Z/PzofAjYL8kTuvf433Xb/Z9x6rl2955Ypz295/NixKTPSxdg/ymtB+WP+oY2vZc2H9qO3XvsAUmelnvHuC+kze1xQ/f5feREO53kD7t1rEObDP1mZv5YSwOb4NrzfeBPkzy6y3s8bfLvc8dZ37jXne59vUO33UVJ3kbrmfxv075z81R3bX1D2jx0pA0J/yCtJ+AvmPxn4w9oc6pt1/OA9oPYEd3/j6Bdr0fyz+62+ZLp3Ld57j9pw+9HjuELu/TnAZ9O8kdJtuiu9RvTju91tLk3x/Ih4EVJ/qB7XexJa5uNzFs10i7bM8k6Xf7TuLeXuqZuvHbNTLcbNZtqNZhdeU170CZJfTftQ3Al7QvvpuOUX0z7sFzRlb+IdqvMBwywre90y6zfl/5g4O3AL7v8X9O++I7czWd/2qSiN9G6Hv8TLRo7svxS+u7QRPvwvapb5gral4kFgxyTKR7HV3LvLwK9j617yoyWf9gE6x1zGVqPhB93x+xG2h103jBAXdei9Uq6hJ67LnV5IxfFpd16LwU+0pP/T9x755kv0b7Ufbuvvs/qef4A4Ovd6+umbn0D37VjCsd45+6Y3Ny9nv56gnWeQQt23NT32LGnzNOBH9G+YF7a/1obY72P7Nb7iVHynkCbePjq7jieT5sTauS98F/dsb+G9t78Vs8535lV747yZFoDc0X3OAd4wTS/vosWILrPceor84ru+NzaHa+njbO+T0702h9lmX/p6vHsUfL27c778u71eSrw5C7vD2g9b26m3U3pVb2vm64uH+1b3wG0SUZv7l67/0XPHfZm4kEL1B7evS6Wd6/N7SZY5rDR3hNTPS89y+zXrWvfUfL+iHYNuIF2967vAjt3eY/rXos3j7xXaAGZnXvqe3rf+vakTWR8E/fenfDRM3msffiYzINxrj203h1H0K6ZN9HurvIexrlLIhNcd2jDms/m3mv7yfTcsdPHQOdsLVrb49ru8+hK2l0Ie+9MOOnPxr5t3Ke9M0r+t/HuVPf3PG7Nfe9OdRStZ+3NtDb+F4DHDLCeN9B6kq7szvUuffm70X68uLX7+7zp3pc18cEE7ZrJvAfx7lSr9SPdSdI8ldYV7o6q2n+u67KmS/Jt4LSqesdc12U+Sptk7xpaQ2DMnhQaXJJXAm+tqsfOdV3mu7ShA18CHl7TOCRPkiRJ84tz4sxjaXdg+HO6O05p7qTdDvjptPOhadZ1sT+ANqGxAZxpkDa3yptoE0tqBnXDRg6k3fHPAI4kSZLG5Jw481SSL9CGeLyzBrztpmZG2uSIJwN/U6NMJK37pxt/v5I2ofF0TFS9xku7m9k1tK7QY85FpPsvyYtpQ5o2BP51guKSJElawzmcSpIkSZIkaQjYE0eSJEmSJGkIGMSRJEmSJEkaAgZxJEmSJEmShoBBHEmSJEmSpCFgEEeSJEmSJGkIGMSRJEmSJEkaAgZxJEmSJEmShoBBHEmSJEmSpCFgEEeSJEmSJGkIGMSRJEmSJEkaAgZxJEmSJEmShoBBHEmSJEmSpCFgEEeSJEmSJGkIGMSR5qkkf5jky0muTfK7JFcl+UKSXee6bjMhydIk1T3uTvLbbv+fOMPbPSzJnTO5DUmSNLju2lxjPD45znLP7MrsPHu1XaUOByTZfZT0Tya5eC7qJGn1svZcV0DS9EvyD8Dbga8BbwR+AzwMeAnwzSQbVdWKOaziTPky8E5gAfBE4HDgG0meNIP7+1HglBlatyRJmpq7gGeNkr5stisySQcAp9PaNL3eBmww+9WRtLoxiCPNM0meQwvgHFVVB/Vlf77L/93s12xWLKuqH3b/fz/JjcDngBcAJ8zEBqvqCuCKmVi3JEmaup42wdCrqkvmug6SVg8Op5Lmn4OAa4FDR8usqtOr6paR50mek+S7SW5OsqIbcvWInvytu67Fr0pyVDc86/okn02yUU+5dZK8sxvWdHtX7r+TPKZvPfv01ifJK7v0LXrS/i7JRUlu67b1/SR/MIVjcX73d6u+ba6T5J+SXJzkjq7Of58kfeX2SPKzrh7ndUPUftHbFXu04VRJNkzykSTXdMtekGTvvjKHJbkzyWO743RzV5+/msJ+SpKkSUiydteuWZZkZZITgE1GKVdJDu1L27lLf1ZPWpL8TZILu2v/siRfTbJVl/+QJB/trvW3JvlVkmP62lJLaW2WV/cM/zqsy1tlOFWSLZJ8rhtCfmuS/03y/L4yn+y2+cwu/5aubfPi+30QJc0JgzjSPJJkbWBH4PSqumOA8rsDp9J6kvwF8FrgCcAZSdbrK/7PwMbAy4F/BPYA3tOT/1bgb4B3A88D9gd+DCya5D68gjYk6lPAbsArad2KNxpnsbGMBG8u7Uv/LPAW4Fjghd3ff+q2O1KP7YETgcuAPwPeD3wMWDxB/RcAXwf2pA3n+lPacfhMklf1Fwe+AHypK/cD4INJdprMTkqSpFV1gZr+x8gPNm8H3gx8kHadvw74yP3Y3PuA9wL/Tbumvxb4Ffe2GzYBVtJ+bHs+rd2xI63NMOJFwNW0oVS/3z0+Osa+rQ98B9gJ+FvakPllwNeSPLev+CbAx7v9exFwOa139iOnvLeS5ozDqaT5ZRNgXdrFeRD/BnylqvYaSUjyI+AiYF/gQz1lf1ZVr+4p93jg1cBIYOL3gNOq6t97lvnSpPegreeCqvrXnrSvDLhsukDWyJw4RwJnASf3FNiJ1tB5UVWN1O/0rlH3j0mOrKobaEGpq4Ddq+p33bK/YeL5b15Ia3S9pKpO7NK+keShwNuSfKKqqktfC3h7VX2+W/93aEO/XgZ8d8B9liRJq1rA6MPHX5vkRNoPT0dX1WFd+mndtXqLUZYZV5JHA28A3lZV/9yTdU87qKp+RgsajSyzNvBz4Kwk21fVj6vqx0lu577Dw8eyH7At8PSqOrtb5ynAhbQfkb7ZU3ZDYLeq+t+u3Lm0YNGfAe+a7P5Kmlv2xJHml5Ffl2rcUtzT4NiW9kvMPb9Q0Xrl/IJVJwP8et/zC4EHJdm0e3428MIkhyf5vW5dU3E2sF2S9yXZMcm6k1j2VbQG223AObSg1u59vZKeD9wMfL1vv08DHgg8vSv3dOBrIwEcgKr6RrfseHYEbge+2Jf+OeDhwKP60u8JCnX1/CWw5QTbkCRJ47uLdi3vf3wJeArwYFa9Vv/nFLe1K60N9vGxCnTDrd7UDbe6mdZeOavLfuwUtrkjcPFIAAegqu6m7cPv9bWffjsSwOnKLaMNvbe9IQ0hgzjS/HIdLYAxyEV5s+7vZ2kNid7Hk1l1XPgNfc9v7/6ONBLeQeua/DLgf4Frkxyd5EGT2QHaMKq/AXamdRO+Lsknkmw8wLIn0xpozwL+AXgIcEJP12lo+71eV//eff5Rlz+y3w9j9DtYTHRXi41pv6Dd3Zd+dU/+iLuq6sa+crdz7zGVJElTVFVnj/K4jnaNhxbI6HXNFDc10nb4zThlDqANt/oqbUj67wF/1OVN5bq/Mfe2LXpdTfuO1zucvb8NB7Y3pKHlcCppHqmqO5N8F3hOknV6e5GM4vru71sYfehOf3Bhom3fQQvivD3J5rQ5Yd4J3EQb931bV/QBfYveJ1jUDTX6IG1umE1pY7ffQ+sW/YoJqnFdzy9S309yF3AEbfjUf3Xp13f7tusY6xiZP+cqRp//Ztw5cYDfAouTrNUXyHlIT74kSZo7V3V/NwN67/r0kFHK3s4EbRfaj2jQetxeNsY2XwKcWlWHjCQkeeZAtR3db4HtRkl/CHA3sOJ+rFvSasyeONL8cxTtAn74aJlJdk3yYOD/aA2Nx47xS9VFU61AVV1ZVe8GfgI8qUu+htYQekJf8d3GWc91VfUftImNnzRWuXH8G21+oEN7euOcCiwE1hljv0eCLGcBf5RknZGVJdmN1otnPGfShmXt3pf+MtovdBevsoQkSZpNFwC30n4o6vUXo5S9nFXbLi/oe/4t2lD2/hsY9How0H/TiZePUm7QHjJnAo/ubsQAQJK1aPvwo6q6bcwlJQ01e+JI80xVnZ7kH2mT6D4R+AztF6eH0RorfwFsXFW3JPkb4KRuyNNJwHLar0i7AN/omZh3QklOpt2F6VxaT5cdaWPO/z979x5XdZXvf/z1UalRETDBMBHwMpZpZkXXk6nZxRrNtLIL1liZ9qsepzpjVp5OmTVN5VTWNONkp3Iqspy0JrtYeansetTGLtaoiYpYmtgAKpKIn98fe0ObDeqm2GzA9/Px2A9grfX9fj/fvWHx3Z+9vmtNC8blZvZ3YKyZrSSQQLoY+HXYfqYR+PToIwKjZnoTmMfmTz/judhpZr8HHgMGE5jEeaGZzQReMbM/Epg7Jw7oSmB48yB3LycwimhxsN2jBD6tu53AJ1/ht0qFej0Y+1NmdgiBT/guIpCsujJkUmMRERGJoj2MdCl296+C/9v/Kzg/zUfAEOD4Gtq/ANxiZuMJXOcMAk4NbeDuq4L7u83MEoG5BK4tBgLPBkcJvwmMM7Obgvs5m8D1Tbivgf7BD44KgG/dvabbtJ4icIvWKxZYAr0AuBo4jL18QCYijZ+SOCJNkLvfbWYfEfjn/hcC90UXEPjU5lR3Lwq2m2NmpwK3EZiL5gBgA4G5aL6s5WEXEUgQXR/czxrgRncPXa7zegL9zr0EJhx8isAtWI+HtPmAwKpXlwPxBD4Bux8IXa2qNp4isNLUrfy0ytUlBFaIuJzAiKXtBEbIvEYwQRNcIeJ8Asmc2QRGLl0FPMNehii7e7mZnU1gZayJBJ77lcCl7v7szzwHERERqZ3mBJIz4T7gp7nzmgP/CYwjkHj5f1RfEfMeArdP/Y7ASNsXg9uEt7uewLXPmOB+ioCP+WnenUkE5rG5mcB10psEbrH6Z9h+JhBYVvzl4PHuJHA9UYW7bzOzfgRGYE8BWgKfAb9x97fD24tI02H6UFhEJDJmdgSBIdi/dfenYx2PiIiIiIjsX5TEERHZAzP7M4FRSd8TuO3rvwnMJdbD3fe11LiIiIiIiEid0u1UIiJ71obA5MgpBFbZWgiMVwJHRERERERiQSNxREREREREREQaAS0xLiIiIiIiIiLSCOx3t1MlJyd7ZmZmrMMQERHZry1durTA3VNiHUdjoGsXERGR2Gso1y77XRInMzOTJUuWxDoMERGR/ZqZrYt1DI2Frl1ERERir6Fcu+h2KhERERERERGRRqDekjhm1tzMJpvZZjPbamazzCw5gu3+n5m5md0WVt7NzOaZ2XYzyzez30UvehERERERERGR2KrPkTi3AEOB44G0YNkze9vAzDKA3wFfhJU3B+YAXxNY+vcc4GYzu7COYxYRERERERERaRDqM4kzBrjP3XPdvQgYDwwys8y9bPME8N/AD2HlpwAZwK3uXuLunwKPAVfXedQiIiIiIiIiIg1AvSRxzCwRSAeWVpS5+2qgGOi9h23GAiXu/kIN1UcCK919W0jZp8FyEREREREREZEmp75Wp0oIfi0KKy8MqatkZunAbcAJe9hfm0j3FdzfGAIjgUhPT48sYhFpcnbv3k1BQQGFhYWUl5fHOhyRJq158+YkJSWRnJxMs2ZaRyFaysrKyM/Pp7S0NNahiDRp6tNEpKGoryTO1uDXxLDyJAKjccL9L3C3u2/Yy/4i3RfuPg2YBpCVleWRBCwiTU9+fj5mRmZmJnFxcZhZrEMSaZLcnbKyMjZt2kR+fr4+QImi/Px82rRpQ2Zmpvo0kShRnyYiDUm9pJHdvRDIA46uKDOzLgRGznxewyanA/eYWYGZFQD/AdxqZouC9Z8B3c2sdcg2RwXLRURqtH37djp27MgBBxygNzsiUWRmHHDAAXTs2JHt27fHOpwmrbS0lHbt2qlPE4ki9Wki0pDU51jAaQRWkOpsZgnAfcCb7r62hradCMxv0yf4WAL8GTg/WP8esI5AoqelmfUBxhKY3FhEZI80BFqk/ujvrX4ogSNSP9SniUhDUJ890b0ElgVfDGwAmgMjAcws28wqJyl29/zQB/AjUOzum4L15cAQoBewBXgdmOzuz9fj+YiIiIiIiIiI1Jt6S+K4e7m7j3P3ZHdv4+7D3b0gWJfj7vF72ba/u98dVvaNuw9091bufoi7/zHa5yAiIvJLjRo1itGjR9fpPu+++2769+9fp/sUEYmE+jQRkfqlMYEiIiIRMjPef//9WIdRLyZOnMhpp50W6zBEJIrUp4mIND5K4oiI7OfKy8vZvXt3rMOIqbKysliHUK/2t/OV/Yv6tP3vb3x/O18R2b8piSMi0gA9/PDDHHbYYbRp04b09HRuvfVWysvLARg3bhzDhg2r0n7hwoW0adOmctWML7/8kjPPPJPk5OTK7SsucteuXYuZ8cQTT3D44YfTqlUrvv/+e55//nmOPPJIEhIS6NChA2PHjq2yCsfGjRsZMmQIiYmJdO/enSeeeAIzY+3atZVtHn/8cXr16kViYiJHHXUUb7311h7Pce3atZx55pkkJSXRtm1bjnlHQo8AACAASURBVDnmGFasWBHRviZOnMjAgQO58cYbadeuHWlpadx7772V9SUlJQwfPpzU1FQSEhI4+uijefvttyvrp0+fTrdu3Zg8eTJpaWn06dMHgAkTJtClSxfi4+Pp2rUrU6ZMqdzmyCOPBOCMM84gPj6+8vaBkpISxo0bR+fOnTnooIMYNGgQ33zzzd5eXnbs2MGll15KQkICXbt2Zfr06VXqFy1axMknn8xBBx1E165deeCBB3D3yvrXXnuNww8/nPj4eAYPHkxBQcFej5eZmcmkSZMYMGAArVu3ZtasWXz22Wf069eP5ORk2rZty1lnncXq1asBeOGFF7jnnnt45513iI+PJz4+ntzc3IhiE6mJ+jT1aerTRETqRotYByD1b0p6BkXr82IdRq0ldkrnhrx1sQ5DmpjwC02Anj17cuyxx1JWVkZOTk61+j59+tCnTx9KSkqYOXNmtfqsrCx69epFUVERL730EhCYM6A20tLSeOONN8jMzGTZsmUMGjSIzMxMxo4dyxVXXEGfPn3YvHkzKSkplecxYsQIWrduzffff0+/fv245557mDNnDps3b2bo0KG0bNmS22+/vfIYzz33HAsWLOCggw6iefPmJCYm8txzz9GjRw9yc3M555xzuPvuu/nDH/4AQHZ2NklJSaxfv57S0lJGjBhRJeZp06Zx//33M2vWLI444gjmzp3L8OHDWbZsGd26dat2jhMmTCA9PZ1XXnmFFi1asHz5cpKSkiLe13vvvcfpp5/Od999xxdffMFZZ51FRkYGF198Mbt372b48OH87W9/41e/+hVTpkzhvPPOY/Xq1ZXP2dq1a/n2229ZtWpV5QX74Ycfzvvvv0+HDh1YuHAhv/nNb+jRowdnnnkmn332GWbGW2+9xcknn1x5HqNHj6a4uJiPP/6Ytm3b8vvf/57BgwfzxRdfEBcXV+PrO3PmTJ566imeeuopFi5cyDnnnEP37t056aSTWL58OWeffTbPPvssgwcPZtWqVZx11lmkpKRw2WWXkZuby/Dhw3niiSe46KKLWLBgAcOGDePYY4/d6+/U448/ziuvvEKfPn0oLS1l1apVTJw4kZNOOonS0lJGjx7NyJEj+eijj7jwwgv5+uuvef/995k3b17lPvYVmzQMDbFfU5+mPk19Ws0yO6WyLn9TvRxL9i4j7WDWrt8Y6zBE9klJnP1Q0fo87nhncazDqLU7++/9n7lIU3LeeedVfn/UUUdx6aWXMn/+fMaOHcvhhx/OUUcdxbPPPsuNN97I1q1bmTVrFm+++SYATz/9NEceeSRjx44FoGPHjtx6663cfPPNVd7w3HHHHaSmplb+fNZZZ1V+361bN6655hqefvppAPLz81mwYAGrV68mISGBhIQE/ud//od33323cptHHnmE22+/vfLT3bPPPpsBAwbw/PPPc9ttt1U7xwMOOICNGzeSm5tLjx496N27d6321aFDB26++WbMjGOOOYYxY8bw1FNPcfHFFxMfH8/IkSMr93fTTTdx3333sXjxYs4++2wA4uLiuPfeeznwwAMr24Vuc+qpp/Kb3/yG+fPnc+aZZ9b4OhUUFDBjxgzWrVvHwQcfXPm8TpkyhU8++aTKG6NQJ5xwQuWxTj/9dM477zymT5/OSSedxNSpU7ngggsYOnQoAIcddhjXXXcdTz/9NJdddhkzZszguOOOq9z+jDPO4Nxzz2XDhg01HqvCVVddxVFHHQVAy5YtqzzfBx54IHfccQdHHHEE27dvp3Xr1jXuY1+xieyJ+jT1aerTarYufxNePa8qMWDZSqZJ46Akjojs1/b2SXJcXNxe61u1arXX+sTExFqPwKkwY8YMHnzwQXJzc9m1axc7d+7khBNOqKy//PLL+ctf/sKNN97IzJkz6dixI//xH/8BwJo1a/jggw8qPwEGcPfKWxcqZGZmVvn57bffZtKkSfzrX//ixx9/pLy8nPbt2wNUXkynp6dXts/IyKiy/Zo1a7j22mv5z//8z8qyXbt2kZaWVuM5Tp48mbvuuoshQ4awfft2zj//fP7whz8QHx8f0b4yMjIwsyrnM3v2bCAwtH/8+PG89tprFBQU0KxZM7Zu3crmzZsr23fo0KHKmx0IvNF6/PHHyc/Px93ZsWMHl1xySY3xV5wzUOXNAwTmZ1i/fv0etwt/7jMzM/n0008r97lgwYLKcwHYvXs3nTp1AgJvPsO379y58z7f8IRvs3r1am666SY++eQTtm7dWvlcFhQU7PENz75ia2rMrDlwLzAK+BXwFjC2YnXNsLZ9gYeBTKA5sBq4291nh7TpBvwVOBH4N/CQuz9Q13E3xH5NfZr6NPVpIiJ1Q3PiiIg0MOvXr2fkyJHcdtttfPfddxQVFXHttddWuUf/oosuYtWqVXz66adMnz6dyy+/vLIuIyOD0047jcLCwspHUVER27Ztq3KcZs1++hewc+dOzj33XC666CLy8vIoLi7mvvvuqzxmx44dAcjL++lWzNDvK4775JNPVjnutm3bmDp1ao3nmZKSwiOPPMI333zDBx98wDvvvMP9998f8b7WrVtX5TlZu3Zt5RuiBx98kHfffZf58+dTVFREYWEhbdu2rdI+9PwBPvjgA26++WYee+wxCgoKKCwsZMiQIVW2CX2DVREnwKpVq6rEWlJSwsUXX1zjeVfEGv5zRewZGRlcccUVVfZXXFzM8uXLgcBrEb59xRuvvQk/36uvvpo2bdrw+eefU1xczAcffABQeb7h7SOJrQm6BRgKHA9UvNt+Zg9tVwDDgHZAEnAD8KyZ9YDKhNAc4GsgBTgHuNnMLoxa9A2E+jT1aerTRETqjpI4IiINzLZt29i9ezcpKSnExcXx8ccf88wzVd83JiUlMWzYMG677TY+/vjjKsO+L7vsMpYsWcKTTz5JaWkpu3fvJjc3l7lz5+7xmDt37qS0tJS2bdvSsmVLvvrqKx599NHK+rS0NPr3788tt9zC1q1b+f7777n77rur7OPGG29k4sSJLFu2rPIT3/fff59//etfNR7zhRdeYM2aNbg7iYmJHHDAAbRo0SLifX333XdMnjyZsrIy/vnPf/L444/z29/+FoDi4mIOPPBA2rVrx86dO5k0aRKFhYV7fd6Li4tp3rw5KSkpmBmvvfYab7zxRpU2qamprFq1qvLn9u3bc8kll3DNNddUfmpcWFjISy+9VO0NZqiPP/6YGTNmUF5ezoIFC5g1a1bla3jNNdfw/PPPM2fOHMrKyti1axdfffVV5W0eF198MZ988gkzZsxg165dzJs3j3/84x97Pbc9nW/r1q1JSkqioKCgym0pFeeal5fHzp07K8v2FVsTNAa4z91z3b0IGA8MMrPM8Ibu/r27r/PAO0YDdhO4zqqYPOUUIAO41d1L3P1T4DHg6uifRmypT1Ofpj5NRKTuKIkjItLA9OjRgzvvvJOhQ4eSlJTEvffeW+MnoJdffjlvvPEGZ555JoccckhleWpqKgsXLuTll18mMzOTtm3bMmzYsMqVOGoSHx/P1KlTGT9+PPHx8Vx77bXVhtw/99xzlJSUkJaWxsknn8wFF1wAUDl8/6qrrmL8+PFcfvnltG3blvT0dO666649Lv36z3/+k379+hEfH0/Pnj05+uijGTduXMT76tu3L9999x2pqakMHjyY66+/vjLm//qv/yIpKYlDDjmErl270qpVq2pD78OdeeaZXHrppRx33HEkJyfz4osvVlsx5/e//z233347bdu2rZyf4/HHH+fQQw+lf//+tGnThiOOOIK///3v1T7hDjVixAhef/112rZty5VXXsmf//znyrkmevXqxauvvsqUKVPo0KED7du3Z9SoUZW3TXTt2pUXX3yRSZMmkZSUxEMPPVS5qkxtPPTQQyxatIiEhAT69u3L4MGDq9RfcMEFdOrUidTUVJKSklizZs0+Y2tKzCwRSAeWVpS5+2qgGOi9l+0KgR+BRcAnBG7BAjgSWOnuoe+EPw2WN2nq09SnqU8TEak7tr8toZeVleVLliyJdRgxdadZo53Y+I797PdV6tbXX39Njx49Yh1Gk/Hmm28ydOhQduzYsdeL+2iYOHFitVVGpGHa09+dmS1196wYhBQRM+sE5AFd3H1NSPk64L/d/dm9bHsgcBZwKPBHdy83s/8BTnP3fiHtBgBvu3u1OQrNbAyBkUCkp6cfs25dzaszql+rO+rTJBJ1/TdnZprYuIGwbLS8vOxVQ7l20UgcERGJyGeffcbnn3+Ou5Obm8ttt93GhRdeWO9vdkTqydbg18Sw8iQCo3H2yN1/dPeXgX5AxZCCrbXZl7tPc/csd8+qWEJa6pb6NBERaYyUxBERkYj88MMPDB8+nPj4eE4++WR69+7Nww8/HOuwRKLC3QsJjMQ5uqLMzLoACcDnEe6mBfDr4PefAd3NLHSZnKOC5RID6tNERKQx0hLjIiISkQEDBvDNN9/EOgwgcOuBSD2YRmAFqYXAFuA+4E13Xxve0MzOA1YSWH2qBXApcCowOdjkPWAdcI+Z3ULgVquxwPVRPgfZA/VpIiLSGGkkjoiIiEjN7iWwLPhiYAPQHBgJYGbZZhY6SXEHYDZQCHwLXAFc7O5vA7h7OTAE6EUgIfQ6MNndn6+fUxEREZGmQCNxRERERGoQTLyMCz7C63KAnJCfHwUeDW8Xts03wMA6DlNERET2IxqJIyIiIiIiIiLSCCiJIyIiIiIiIiLSCCiJIyIiIiIiIiLSCCiJIyIiIiIiIiLSCGhiYxHZr01Jz6BofV7Uj5PYKZ0b8tZF/ThNQf/+/TnttNO47bbb6myfo0ePZteuXUyfPr3O9inSUGV2SmVd/qaoHycj7WDWrt8Y9eM0BerXRESkriiJIyL7taL1edzxzuKoH+fO/sdG/RixMnHiRN5//33mzZsX61BEBFiXvwnP2Xe7X8qyo58oihX1ayIi0lDpdioREdmjsrKyWIcgIlKn1K+JiEhjpiSOiEgD9Mgjj9C5c2fatGlDx44dmTBhAgB5eXmcf/75dOjQgQ4dOjBmzBi2bt1auZ2ZMWXKFPr06UObNm0YMGAA33zzTWX9888/z5FHHklCQgIdOnRg7NixbN++vbI+MzOTSZMmMWDAAFq3bs2sWbP47LPP6NevH8nJybRt25azzjqL1atXA/DCCy9wzz338M477xAfH098fDy5ubkALFq0iJNPPpmDDjqIrl278sADD+DuEZ1/QUEBgwcPJj4+np49e/LGG29UqX/55Zc55phjSEpKokePHuTkVB128OSTT9K1a1cSEhK49NJLKS0trcWzLyLRoH5N/ZqIiPxySuKIiDQwK1eu5JZbbuHVV19l69atLF++nHPOOYfS0lJOPfVUDj/8cHJzc/nqq6/Iz8/n+uuvr7L9tGnTePHFF/n+++/p2bMn55xzDuXl5QAkJiby3HPPUVhYyKJFi1i0aBF33313le0ff/xxHnzwQbZt28bQoUMxMyZOnMiGDRtYu3Yt8fHxjBw5EoALL7yQCRMm0L9/f7Zt28a2bdvo0qULy5cv5+yzz+amm25i8+bNvPbaazz66KM888wzET0HTzzxBNdffz2FhYVMmDCBYcOGsXbtWgDefvttrrzySqZMmcIPP/zA3/72N6677jree+89IPAm69prr+Wvf/0rP/zwA6effjovvPDCL3lJROQXUr+mfk1EROqGkjgiIg1MixYtcHeWL1/Otm3bSEpK4oQTTuDVV1/F3Zk0aRItW7akbdu23HXXXeTk5FS+mQH43e9+R7du3WjZsiX3338/q1ev5pNPPgHgrLPOomfPnjRr1oxu3bpxzTXXMH/+/CrHv+qqqzjqqKMwM1q2bEnv3r0ZMGAABx54IImJidxxxx18/PHHVT7pDjd16lQuuOAChg4dSvPmzTnssMO47rrrePrppyN6Ds4991xOP/10WrRoQXZ2NllZWTz33HMAPPzww1x//fX07duXZs2acdxxxzFy5MjKfT/99NOcf/75ldtfdtllHHfccbV6DUSkbqlfU78mIiJ1QxMbi4g0MF26dCEnJ4epU6cyevRoevfuze23386aNWvIy8sjKSmpSnszY+PGjXTs2BEI3DpQoVWrVqSkpJCfnw8EPu2dNGkS//rXv/jxxx8pLy+nffv2VfYXuj3A6tWruemmm/jkk0/YunUrZgYEbg1o3bp1jeewZs0aFixYwOzZsyvLdu/eTadOnSJ6DsJjyMzMrDyHNWvWsHDhQh588MHK+vLycvr27QtAfn4+WVlZVbbv3LlzRMcVkehQv6Z+TURE6oZG4oiINEDDhw/n7bffpqCggBEjRjB06FAOPvhgunfvTmFhYZVHaWlp5RsdoHJ4PkBJSQmbN28mLS2NnTt3cu6553LRRReRl5dHcXEx9913X7X5HJo1q/qv4eqrr6ZNmzZ8/vnnFBcX88EHHwBUbhfeHiAjI4MrrriiSpzFxcUsX748ovMPPYeKn9PS0ir3PXHixCr73rp1K6+//joAHTt2rLb9mjVrIjquiESP+rW11X5WvyYiIrWlJI6ISAOzYsUK5s6dS0lJCXFxcSQmJmJmnH/++ZSVlXHPPfewdetW3J0NGzbw0ksvVdn+oYceYvXq1ZSWlnLLLbfQpUsXjj/+eHbu3ElpaSlt27alZcuWfPXVVzz66KP7jKe4uJjWrVuTlJREQUEBt99+e5X61NRU8vLy2LlzZ2XZNddcw/PPP8+cOXMoKytj165dfPXVV7z77rsRPQcvv/wy8+fPp7y8nBkzZrB48WIuuugiAG644QamTJnCokWLKC8vZ+fOnSxdupQlS5YAcNlll/Hiiy8yf/58du3axbPPPsv//d//RXRcEYkO9Wvq10REpG4oiSMi0sDs3LmTO++8kw4dOpCUlMQjjzzCrFmzaNWqFfPnz+err77isMMOIzExkYEDB7Js2bIq248ePZrhw4eTkpLCZ599xj/+8Q+aN29OfHw8U6dOZfz48cTHx3PttddyySWX7DOehx56iEWLFpGQkEDfvn0ZPHhwlfoLLriATp06kZqaSlJSEmvWrKFXr168+uqrTJkyhQ4dOtC+fXtGjRrF5s2bI3oOrrzySh588EESExOZNGkSs2fPpkuXLgCcccYZTJs2jZtuuonk5GQ6dOjAjTfeyLZt2wA45ZRT+NOf/sTo0aM56KCDmDt3LhdeeGFExxWR6FC/pn5NRETqhkW6LGJTkZWV5RWfauyv7jTjjncWxzqMWruz/7HcsZ/9vkrd+vrrr+nRo0eVsinpGRStz4v6sRM7pXND3rqoH8fMKpfAFWkIavq7AzCzpe6eVcMmEmZv1y41Pb+ZnVJZl78p6nFlpB3M2vUbo34c9WvSkOypT/u5zAzP2Xc7iT7LptqtmCKhGsq1S71NbGxmzYF7gVHAr4C3gLHuXlBD277Aw0Am0BxYDdzt7rND2jiwA9gdsmlHdy+K0imISBNUH4kVEZH6VB+JFREREYmN+ryd6hZgKHA8kBYse2YPbVcAw4B2QBJwA/CsmYWnvc9w9/iQhxI4IiIN3D333EN8fHyNj0WLFsU6PBGRWlO/JiIi9aU+lxgfA0xy91wAMxsPfGNmme6+NrShu39f8b2ZNSMw2qYZ0A34ut4iFhFpZBrDMOAJEyYwYcKEWIchIo2E+jUREZGf1MtIHDNLBNKBpRVl7r4aKAZ672W7QuBHYBHwCYFbsEL93cwKzOwTMxte54GLiIiIiIiIiDQQ9XU7VULwa/jtToUhddW4exIQT+DWqteBXSHVpwGdCdya9SCQY2aDatqPmY0xsyVmtiTSFQREpGlqDJ/oijQV+nurH3qeReqH/tZEpCGoryTO1uDXxLDyJAKjcfbI3X9095eBfsDokPL57l4afLwAPAtk72Ef09w9y92zUlJSfvZJiEjjFhcXx44dO2Idhsh+Y8eOHcTFxcU6jCatefPmlJWVxToMkf2C+jQRaQjqJYnj7oVAHnB0RZmZdSEwCufzCHfTAvj1Xup3A/ZzYxSRpq99+/Zs2LCBkpISfZomEkXuTklJCRs2bKB9+/axDqdJS0pKYtOmTezevXvfjUXkZ1GfJiINSX1ObDwNuNnMFgJbgPuAN8MnNQYws/OAlQQmMW4BXAqcCkwO1vcCWgHLAAd+E2xzUdTPQkQarYSEwN2b3377rT65FomyuLg4Dj744Mq/O4mO5ORk8vPzWbFiRaxDEWnS1KeJSENRn0mce4G2wGLgQOBtYCSAmWUDj7l7fLBth2D7DsBOAkuOX+zubwfrU4BHgcxg/WrgCnd/pV7OREQarYSEBF2AiUiT0axZM9LT02MdhoiIiNSTekviuHs5MC74CK/LAXJCfn6UQJJmT/taCPSMQpgiIiIiIiIiIg1SfU1sLCIiIiIiIiIiv4CSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijYCSOCIiIiI1MLPmZjbZzDab2VYzm2VmyXtoe7aZLTCzAjP7t5ktMrO+YW3czErMbFvII7F+zkZERESaAiVxRERERGp2CzAUOB5IC5Y9s4e2bYE/Ad2AFOA54A0z6xTW7gx3jw95FEUhbhEREWmilMQRERERqdkY4D53zw0mW8YDg8wsM7yhu+e4+0vuXujuu9x9KrADyKrXiEVERKRJUxJHREREJEzwNqd0YGlFmbuvBoqB3hFs3xtoB3wZVvX34C1Xn5jZ8DoMWURERPYDSuKIiIiIVJcQ/Bp+u1NhSF2NzKw98CJwv7uvCqk6DehM4NasB4EcMxu0h32MMbMlZrZk8+bNPyd+ERERaYKUxBERERGpbmvwa/jEw0kERuPUyMwOARYCbwG3hta5+3x3Lw0+XgCeBbJr2o+7T3P3LHfPSklJ+bnnICIiIk2MkjgiIiIiYdy9EMgDjq4oM7MuBEbhfF7TNsG5chYBb7j7de7u+zjMbsDqIl4RERHZPyiJIyIiIlKzacDNZtbZzBKA+4A33X1teEMzOwx4H5jh7uNqqO9lZseZ2QFmFmdm5wKXAjOjewoiIiLSlCiJIyIiIlKze4E5wGJgA9AcGAlgZtlmti2k7c1AR+AGM9sW8qi4XSoFeAr4N/A9cBtwhbu/Uj+nIiIiIk1Bi1gHICIiItIQuXs5MC74CK/LAXJCfr4cuHwv+1oI9IxCmCIiIrIf0UgcEREREREREZFGQEkcEREREREREZFGQEkcEREREREREZFGQHPiiIjsZ6akZ1C0Pi/WYdRaYqd0bshbF+swRERERERipt6SOGbWnMAqD6OAXwFvAWPdvaCGtn2Bh4FMAitBrAbudvfZIW26AX8FTiSw0sND7v5AdM9CJLr05lrqQ9H6PO54Z3Gsw6i1O/sfG+sQRERERERiqj5H4twCDAWOB7YATwLPAGfV0HYFMAyoeDfbF5hrZse4+9fBhNAcYB5wDnBYsD7f3V+I7mmIRI/eXIuISKxldkplXf6mWIchQEbawaxdvzHWYYiISANSn0mcMcAkd88FMLPxwDdmlunua0Mbuvv3Fd+bWTNgN4H5e7oBXwOnABnAre5eAnxqZo8BVwNK4oiIiIj8TOvyN+E5+24n0WfZSqaJiEhV9TKxsZklAunA0ooyd18NFAO997JdIfAjsAj4hMAtWABHAivdfVtI80+D5SIiIiIiIiIiTU59jcRJCH4tCisvDKmrxt2TzOxAArdcHQrsCla1qc2+zGwMgZFApKen1ypwERERkVjasmUL06dPr1LWs2dPjj32WMrKysjJqT5spk+fPvTp04eSkhJmzpxZrT4rK4tevXpRVFTESy+9VKVu1KhRrNj2IYfGr6RgZzte/X5Ite1POeg9urTKZeOPqczdPKha/cB28+nUcj3rd3Ri/paB1eoHpcwl9cCN5JZ04b0fTqlWP7j9HJIP2MKKbd35qPCkavXDDp5NYlwxX27tyZKi6rf0jugwk1bNS1hW3IdlxX2q1WcfkkNcszIWFx7L8m09q9WPSpsOwIf/PomV27tXqYuzMrI7Bp7zd7ecwpodXarUt2pWwohDAs/5vIKB5Jd2qlKf0KKY4amBaR7nbh7Exh9Tq9S3i9vCkIPnADBkyJBqr31qaiqDBgWe89mzZ1NcXFylPi0tjdNOOw2AmTNnUlJSUqW+c+fO9OvXD4CcnBzKysqq1Hfv3p2TTgo85+HHhuj+7gGceOKJHHrooRQUFPDqq69Wqz/llFPo0qULGzduZO7cudXqBw4cSKdOnVi/fj3z58+vVj9o0CBSU1PJzc3lvffeq1Y/ePBgkpOTWbFiBR999FG1+mHDhpGYmMiXX37JkiVLqtWPGDGCVq1asWzZMpYtW1atPjs7m7i4OBYvXszy5csZNWoU0/N/qm8ov3tzNg1hS1m7KvWpB25kUErgOZ+9cTjFu6q+9Ur71XpOSw485zO/HUHJ7lZV6ju3zKVfu8BznrMhmzKPq1LfvfVKTmr7IQDT80cRrmf8co5NWkzZ7jhyvs2uVt8nYRl9EpZRUt6Kmd+NqFaflbiYXm2WU1SWwEubhler7949cOz95Xcv3KhRowD48MMPWblyZZW6uLg4srMDz/m7777LmjVrqtS3atWKESMCz/m8efPIz8+vUp+QkMDw4YHnfO7cuWzcWPU20Xbt2jFkSOB/zZw5c9iyZUuV+obS7zUU9bXE+Nbg18Sw8iQCo3H2yN1/dPeXgX7A6JD9Rbwvd5/m7lnunpWSklKrwEVEREREREREGgJz9/o5kNk64E53PKQ4WgAAIABJREFUfzL4cxcCq051Dp8TZw/bvwV87u7jzGwA8BqQ4u7bg/WTgL7uPmBv+8nKyvKaMpf7kzvNGu3kuXfU0+9rrOi1kfqg3zNpCMxsqbtnxTqOxqC+r13MTHPiNBCWDfV1rS6xob+3hkN/b7IvDeXapb5G4gBMA242s85mlgDcB7xZUwLHzM4zsyPMrIWZ/crMrgJOBd4MNnkPWAfcY2YtzawPMBZ4rF7ORERERERERESkntVnEudeAsuCLwY2AM2BkQBmlm1moZMUdwBmE5jn5lvgCuBid38bwN3LgSFALwLLlb8OTHb35+vnVERERERERERE6le9LTEeTLyMCz7C63KAnJCfHwUe3cf+vgGqz5QnIiIiIiIiItIE1edIHBERERERERER+ZnqbSSOiIiIiIiISGOX2SmVdfmbYh2GABlpB7N2/cZ9N2xClMQRERERERERidC6/E1aVayBsOz9L5mm26lERERERERERBoBJXFERERERERERBoBJXFERERERERERBoBJXFERERERERERBoBJXFERERERERERBoBJXFERERERERERBoBJXFERERERERERBoBJXFERERERERERBoBJXFERERERERERBoBJXFERERERERERBqBFrEOQEREREREfpnMTqmsy98U6zAEyEg7mLXrN8Y6DBFpopTEERERERFp5Nblb8JzYh2FAFi2kmkiEj26nUpEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdEREREREREpBFQEkdERESkBmbW3Mwmm9lmM9tqZrPMLHkPbc82swVmVmBm/zazRWbWN6xNNzObZ2bbzSzfzH5XP2ciIiIiTYWSOCIiIiI1uwUYChwPpAXLntlD27bAn4BuQArwHPCGmXWCQEIImAN8Haw/B7jZzC6MWvQiIiLS5CiJIyIiIlKzMcB97p7r7kXAeGCQmWWGN3T3HHd/yd0L3X2Xu08FdgBZwSanABnAre5e4u6fAo8BV9fHiYiIiEjTUG9JnCgMSXYzKzGzbSGPxPo5GxEREWnKgtcU6cDSijJ3Xw0UA70j2L430A74Mlh0JLDS3beFNPs0WC4iIiISkfociVNnQ5JDnOHu8SGPoijELSIiIvufhODX8GuLwpC6GplZe+BF4H53XxUsblObfZnZGDNbYmZLNm/eXKvARUREpOmqzyROXQ5JFhEREYmmrcGv4aN8kwiMxqmRmR0CLATeAm4N21/E+3L3ae6e5e5ZKSkptYlbREREmrB6SeJEYUhyhb8Hb7n6xMyG12HIIiIish9z90IgDzi6oszMuhAYOfN5TdsEP5haBLzh7te5u4dUfwZ0N7PWIWVHBctFREREIlJfI3HqekgywGlAZwK3Zj0I5JjZoD3sQ0OSRUREpLamEVhBqrOZJQD3AW+6+9rwhmZ2GPA+MMPdx9Wwr/eAdcA9ZtbSzPoAYwlMbiwiIiISkYiSOMFJiW8zs1VmVhQsO9PMIl1Roa6HJOPu8929NPh4AXgWyK5pPxqSLCIiIj/DvQSWBV8MbACaAyMBzCzbzEInKb4Z6AjcELboQjaAu5cDQ4BewBbgdWCyuz9fb2cjIiIijV6kI3HuAs4hcIFSMTR4JYFPkPYpCkOSa7IbsEjiEREREdkXdy9393Hunuzubdx9uLsXBOty3D0+pO3l7m5hCy7Eu3tOSJtv3H2gu7dy90Pc/Y+xOC8RERFpvCJN4lwCDHX32QSSJQBrgcxaHKvOhiSbWS8zO87MDjCzODM7F7gUmFmLeEREREREREREGo0WEbZrDXwfVnYAUFqLY91LYOnwxcCBwNuEDEkGHgv5RCt0SPINIfsYG/xEKwV4lEASaSewGrjC3V+pRTwiEkVT0jMoWp8X6zBqLbFTOjfkrYt1GCIiIiIiItVEmsRZClwO/G9I2SXA/0V6oOC94OOCj/C6HCB0uPHlwePtaV8LgZ6RHltE6l/R+jzueGdxrMOotTv7HxvrEERERERERGoUaRJnHPCOmV0EtDKzOUAWMCBqkYmIiIiIiIiISKWIkjju/qWZ9QAuA/5FYInM0e6+KZrBieyLbtkRERERERGR/UVESRwzO8Xd3wMeCCvv6+6LohKZSAR0y46IiIiIiIjsLyJdnerVPZT/o64CERERERERERGRPYs0iWPVCsza8NNy4yIiIiIiIiIiEkV7vZ3KzFYBDrQ0s5Vh1e0JLBPeqGzZsoXp06dXKevZsyfHHnssZWVl5OTkVNumT58+9OnTh5KSEmbOnFmtPisri169elFUVMRLL71Urf7EE0/k0EMPpaCggFdfrT6o6ZRTTqFLly5s3LiRuXPnVqsfOHAgnTp1Yv369cyfP79a/aBBg0hNTSU3N5f33nuvWv3gwYNJTk5mxYoVfPTRRzBqFNP/+VFl/bAefUj8VUu+/P5blmyoPk/LiJ7H0OqAA1j23XqWbcyvVp/d+zjimjdn8Ya1LP/+u2r1o446EYAP81azckvVlerjmjcnu/dxALy7dhVr/l1Qpb5V3AGM6HVMxRNR7bVj+PDKb+euWs7GbcVVqtu1as2QQ3sDMGfF52wp2V6lPjU+gUG/Dix0Nvurf1L8Y2mV+rTEtpzW5TAAZn65lJKynVXqO7dNpl/mrwHI+fz/KCsvr1LfvV17TkrvClDlOWfUKKZPn179dy/stemTmkafDp0o2bmTmcuXEi6rYwa92h9CUekOXvp6WbX6Ezt14dDkgyko2carK76oVn9Kxq/pclAyG7cWMfebr6rVD+xyKJ0SD2J90Q/Mz11RrX5Qt8NJbZMIXbpUf21GjaKgZBvJreJZUbCJj9bnVtu+Qf7uBV+bVq1aMWLECADmzZtHfn7V4yckJDA8+Ps3d+5cNm7cWKW+Xbt2DBkyBIA5c+awZcuWKvWpqakMGjQIgNmzZ1NcXPV3Ny0tjdNOOw2AmTNnUlJSUqW+c+fO9OvXD4CcnBzKysqq1Hfv3p2TTjoJoMbXZvGGtRzbMZOy8nJyPq++0GCD/N0LvjbwM/q9MMOGDSMxMZEvv/ySJUuWVKsfMWIErVq1YtmyZSxbVv38srOziYuLY/HixSxfvrxa/ahRowD48MMPWbmy6r/PuLg4srOzAXj33XdZs2ZNlfom/bvHT/9zRURERKT29jUnzt0ERuFMBX4fUr4b2AgsiFJcIiIiIiIiIiISwtx9343MTnD3j+shnqjLysrymj513Z/cadZoJwO+I+z3tSmdCzSt82lK59LU6LWRhsDMlrp7VqzjaAzq+9rFzPDqA5MlBiwbIrlWB71uDYlet8ZJr1vjVJvX7Rcfq4Fcu0S6xPjHZtYc+DWQQsgcOcFVq0REREREREREJIoiXWL8aGA2kE5gjhwLfi0HDohadCIiIiIiIiIiAkS+OtUU4CUgESgGEoDHgFHRCUtEREREREREREJFNBIHOAI43d1/NDNz921mNh5YBjwXvfBERERERERERAQiH4kTun5okZm1D5al1n1IIiIiIiIiIiISLtKROEuB04FXgXeAZ4AS4PPohCUiIiIiIiIiIqEiHYkzGvgs+P1/AeuAH4HLoxGUiIiIiIiIiIhUtc+ROGbWAsgGHgFw9y3AmCjHJSIiIiIiIiIiIfY5EsfddwET3L20HuIREREREREREZEaRHo71UIz6xfVSEREREREREREZI8indh4LfAPM3sx+P3uigp3v6fuwxIRERERERERkVCRJnH6AP8EugYfFRxQEkdEREREREREJMoiSuK4+4BoByIiIiIiIiIiInsW6UgcERERibIp6RkUrc+LdRi1ltgpnRvy1sU6DBEREZEmL6IkjpmlAFOAgUBKaJ27N49CXCIiIvudovV53PHO4liHUWt39j821iGIiIiI7BciXZ3qEaAjcCWwHTgH+BC4IUpxiYiIiIiIiIhIiEhvpzoVOMLdvzez3e7+mpl9AbwI/Cl64YmIiIiIiIiICEQ+EicO2Bz8foeZtXb3POCw6IQlIiIiIiIiIiKhIh2JsxI4GlgKfAZMMLMiYFO0AhMRERERERERkZ9EmsSZABwY/P6/gRlAG2BMNIISEREREREREZGqIkriuPuCkO+XAt2jFlEDpCVfRURERERERCTWIh2Jg5nFA4OBNGA98Lq7b41WYA2JlnwVERERERERkViLaGJjM8sCcoH7gKHA/cDqYHlEzKy5mU02s81mttXMZplZ8h7anm1mC8yswMz+bWaLzKxvWJtuZjbPzLabWb6Z/S7SWEREREREREREGptIV6f6C/CAu2e4e193zwD+CEytxbFuIZAAOp7AaB6AZ/bQti2Bpcu7ASnAc8AbZtYJAgkhYA7wdbD+HOBmM7uwFvGIiIiIiIiIiDQakSZxegAPhJU9SO2WGB8D3Ofuue5eBIwHBplZZnhDd89x95fcvdDdd7n7VGAHUDHy5xQgA7jV3Uvc/VPgMeDqWsQjIiIiIiIiItJoRJrEWQb0Cis7Ili+T2aWCKQTWKIcAHdfDRQDvSPYvjfQDvgyWHQksNLdt4U0+zRYLiIiIiIiIiLS5EQ6sfFbwKtm9r/AOiATuAKYZmaXVDRy9+f2sH1C8GtRWHlhSF2NzKw98CJwv7uvCha3qc2+zGwMweXQ09PT93Y4EREREREREZEGKdIkzhVAGfDbkLJdwfIKTmDumppUrGKVGFaeRGA0To3M7BDgbQJJpFvD9hfxvtx9GjANICsry/d0PBERERERERGRhiqiJI67d/4lB3H3QjPLA44meAuWmXUhMHLm85q2Cc6VMx94yd3HhVV/BnQ3s9buvj1YdlSwXERERERERESkyYl0ThwgMDLGzE74mceaRmAFqc5mlkBgufI33X1tDcc5DHgfmFFDAgfgPQK3dd1jZi3NrA8wlsDkxiIiIiIiIiIiTU5ESRwza29m84B8YF6w7EIz+0stjnUvgWXBFwMbgObAyOC+ss0sdJLim4GOwA1mti3kkQ3g7uXAEAKTLW8BXgcmu/vztYhHREREZI/MrLmZTTazzWa21cxmmVnyHtp2NLN/mNk6M3MzG1lDm7VmVhp2bXNE9M9EREREmopIR+I8AqwBUgjMjQOwADgj0gO5e7m7j3P3ZHdv4+7D3b0gWJfj7vEhbS93d3P3+LBHTkibb9x9oLu3cvdD3P2PkcYiIiIiEoFbgKHA8UBasOyZPbTdTWAOv0sIfOi1J6PDrm2+qLNoRUREpMmLdGLjAUCGu5eamQO4+2YzS4leaCIiIiIxNQaY5O65AGY2HvjGzDLDbwd39++APwfbldd3oCIiIrJ/iHQkzo+EJXzM7CDghzqPSERERCTGzCwRSAeWVpS5+2oCK2H2/gW7ftDMfjCzZWY2di/HH2NmS8xsyebNm3/B4URERKQpiTSJ8xbwgJnFhZRNBF6r84hEREREYi8h+LUorLwwpK62fgt0AQ4GbiKwQEONiRx3n+buWe6elZKigc8iIiISEGkSZzzQA/g3kGBmhQQ+hbotWoGJiIiIxNDW4NfEsPIkAqNxas3d33X3be5e5u5vAw8SXORBREREJBIRzYnj7j8Ap5hZFpBJYHnvJe7uUYxNREREJCbcvdDM8oCjgWUAZtaFwCicz+voMLsBq6N9iYiIyH4g0omNAXD3JcASM0tSAkdERGJtSnoGRevzYh3Gz5LYKZ0b8tbFOgzZu2nAzWa2ENgC3Ae8GT6pcQUz+1XFt0Bc8Odd7r7LzDII3Er1EYGVPk8GbgTuiu4piIiISFOy1ySOmV0A/Nvd5wV/7gnMATLMbDkwxN11BSoiIjFRtD6PO95ZHOswfpY7+x8b6xBk3+4F2gKLgQOBtwne/mRm2cBj7h4f0n5HyPdPBh93EphHsDWB26e6AQ7kEVj56tHonoKIiIg0JfuaE+cmql6Q/AlYAwwlcPFxd5TiEhEREYkpdy9393Hunuzubdx9uLsXBOtywhI4uLvV8JgYrPvK3Y8K7ifB3XspgSMiIiK1ta/bqboCS6Byqc1TgMPdfaWZLSMwJFhERERERERERKJsXyNxWrj7j8HvjwE2u/tKAHfPJ7BCg4iIiIiIiIiIRNm+kjh5wRWpAAYAH1RUmFk7oCRagYmIiIiIiIiIyE/2dTvVX4BXzOw94Bzg/JC6AcDyaAUmIiIiIiIiIiI/2WsSx92nmlkhcCJwmbu/HlLdBngkmsGJiIiIiIiIiEjAvkbi4O4zgBk1lD8VlYhERERERERERKSafc2JIyIiIiIiIiIiDYCSOCIiIiIiIiIijYCSOCIiIiIiIiIijcA+58QREdnfTUnPoGh9XqzD+FkSO6VzQ966WIchIiIiIiJ1oFZJHDNrBlwOHAV8Azzm7juiEZiISENRtD6PO95ZHOswfpY7+x8b6xBERERERKSO1PZ2qsnAAOAL4BTg2TqPSEREREREREREqtnrSBwzO8fdXwkpOsbd+wfr/hcoiGJsIvL/2bv3eMvm+o/jr89cXWdcZtwN45JyDYPcU+7XSIkZhAwpkdySKBWGUonShHKZcglJYUKiVHIpUn7knksZxSC3mvn8/vh8lvOdNfvM5cw5e599zvv5eKzHOeuy915rr7XX+q7P+ny/XxEREREREZE0u0ycQ83sh2a2WI4/bmYnm9k2wBnA/T27eiIiIiIiIiIiArMJ4rj7jsBk4LdmthfwKWAocCQwGPhIj6+hiIiIiIiIiIjMvmFjd7/IzG4EzgX2AQ519+d6fM1ERERERERERORts23Y2MwMmObuewKXAL80swN7fM1ERERERERERORtswzimNluwPPAn83sKeBZYBNgSzO7ycxWaMI6ioiIiIiIiIj0e7PLxDkb2N7dlwb2BE539xfdfX/gLOD6nl5BERERERERERGZfRBnKJF9A/BcjgPg7jcAG/XQeomIiIiIiIiISGF2DRt/EbjfzB4GRgOHlTPd/dWeWjEREREREREREekwyyCOu3/HzK4CVgAecfcXm7NaIiIiIiIiIiJSmm3vVO7+vLvfNa8BHDMbaGZnmtkUM3vFzK4ysxGdLLusmV1rZk+amZvZuAbLPGFmb5jZq8Ww1ryso4iIiIiIiIhIbzXbIE43Oh7YjWhHZ7mcdkkny04HfgHsAzw9i/f8mLsvVAx/7ra1FRERERERERHpRWbXJk53Gg+c4u6PAZjZscAjZraiuz9RLujuzwHn5nLTmriOIiIiIiIiIiK9UlMyccxsODAKuKea5u6PAi8Da8/DW59lZv82sz+Z2SHzuJoiIiIiIiIiIr1WszJxhuXfqbXpLxXz5tb+RFDoTeC9wGVmhrt/t76gmY0nMoEYNWpUFz9ORERERERERKR1mtUmziv5d3ht+iJENs5cc/fb3P1Vd/+vu98EnAXM1AByLjvR3ce4+5iRI0d25eNERERERERERFqqKUEcd38JeApYr5pmZisRWTj3d9PHTAesm95LRERERERERKRXaWbvVBOB48xstJkNAyYAk+uNGlfMbD4zm48IzAzO8UE5bwUz2yqnDTSzLYFPA5c3Z1NERERERERERJqrmUGc04HrgLuAZ4CBZPUnMxtrZq/Wln89h1HAhfn/iTlvQaL61BTgRaInq1Pc/Vs9vA0iIiIiIiIiIi3RtC7G3X0acHQO9XmTgEm1aZ1WjXL3vwLrdvc6ioiIiIiIiIj0Vs3MxBERERERERERkS5SEEdEREREREREpA0oiCMiIiIiIiIi0gYUxBERERERERERaQMK4oiIiIiIiIiItAEFcURERERERERE2oCCOCIiIiIiIiIibUBBHBERERERERGRNqAgjoiIiIiIiIhIG1AQR0RERKQBMxtoZmea2RQze8XMrjKzEZ0su6yZXWtmT5qZm9m4BsssYWZX53tNMbMJZqaymIiIiMwxFRxEREREGjse2A3YCFgup13SybLTgV8A+wBPd7LMpPy7XL7n7sAx3bKmIiIi0i8MavUKiIiIiPRS44FT3P0xADM7FnjEzFZ09yfKBd39OeDcXG5a/Y3MbDSwNbCKu08FpprZBOBEYEKPboWIiIj0GcrEEREREakxs+HAKOCeapq7Pwq8DKzdhbdcB5ia71G5F1jRzIY1+PzxZna3md09ZcqULnyciIiI9EUK4oiIiIjMrAqsTK1Nf6mYNzcW7uS9ys96m7tPdPcx7j5m5MiRXfg4ERER6YsUxBERERGZ2Sv5d3ht+iJENk5X3q/Re5WfJSIiIjJLCuKIiIiI1Lj7S8BTwHrVNDNbiciaub8Lb3kfMDzfo7Iu8ES2kSMiIiIyWwriiIiIiDQ2ETjOzEZnuzUTgMn1Ro0rZjafmc0HGDA4xwcBuPvjwM3AGWY2LBs6Pg74bjM2RERERPoGBXFEREREGjsduA64C3gGGAiMAzCzsWb2am3513MYBVyY/59YzB9LlL2eyfe8FjijB9dfRERE+hh1MS4iIiLSgLtPA47OoT5vEjCpNs1m837PA3t05zqKiIhI/6JMHBERERERERGRNqAgjoiIiIiIiIhIG1AQR0RERERERESkDSiIIyIiIiIiIiLSBhTEERERERERERFpAwriiIiIiIiIiIi0AQVxRERERERERETagII4IiIiIiIiIiJtQEEcEREREREREZE2oCCOiIiIiIiIiEgbUBBHRERERERERKQNNC2IY2YDzexMM5tiZq+Y2VVmNqKTZZc1s2vN7EkzczMb12CZJczs6nyvKWY2wcwUlBIRERERERGRPqmZQY/jgd2AjYDlctolnSw7HfgFsA/wdCfLTMq/y+V77g4c0y1rKiIiIiIiIiLSywxq4meNB05x98cAzOxY4BEzW9HdnygXdPfngHNzuWn1NzKz0cDWwCruPhWYamYTgBOBCT26FSIiIiIiIiIiLdCUTBwzGw6MAu6pprn7o8DLwNpdeMt1gKn5HpV7gRXNbNi8rKuIiIiIiIiISG/UrOpUVWBlam36S8W8ubFwJ+9VftbbzGy8md1tZndPmTKlCx8nIiIiIiIiItJazQrivJJ/h9emL0Jk43Tl/Rq9V/lZb3P3ie4+xt3HjBw5sgsfJyIiIiIiIiLSWk0J4rj7S8BTwHrVNDNbiciaub8Lb3kfMDzfo7Iu8ES2kSMiIiIiIiIi0qc0s3eqicBxZjY6262ZAEyuN2pcMbP5zGw+wIDBOT4IwN0fB24GzjCzYdnQ8XHAd5uxISIiIiIiIiIizdbMIM7pwHXAXcAzwEBgHICZjTWzV2vLv57DKODC/P/EYv5YYv2fyfe8FjijB9dfRERERERERKRlmtbFuLtPA47OoT5vEjCpNs1m837PA3t05zqKiIiIiIiIiPRWzczEERERERERERGRLlIQR0RERERERESkDSiIIyIiIiIiIiLSBhTEERERERERERFpAwriiIiIiIiIiIi0AQVxRERERERERETagII4IiIiIiIiIiJtQEEcEREREREREZE2oCCOiIiIiIiIiEgbUBBHRERERERERKQNKIgjIiIiIiIiItIGFMQREREREREREWkDCuKIiIiIiIiIiLQBBXFERERERERERNqAgjgiIiIiIiIiIm1AQRwRERERERERkTagII6IiIiIiIiISBtQEEdEREREREREpA0oiCMiIiIiIiIi0gYUxBERERFpwMwGmtmZZjbFzF4xs6vMbMQslt/ezP5iZq+b2QNmtm1tvpvZa2b2ajEM7/ktERERkb5CQRwRERGRxo4HdgM2ApbLaZc0WtDMVgKuBk4Dhuffa8xsxdqi27r7QsUwtSdWXERERPomBXFEREREGhsPTHD3xzLYciywfYPADMD+wD3ufqm7v+Xuk4B7c7qIiIhIt1AQR0RERKQmqzmNAu6pprn7o8DLwNoNXrJOuWy6N6eXrjSzF8zsTjPboxtXWURERPoBBXFEREREZjYs/9arO71UzCstPAfLbg2MJqpmnQVMMrPtG324mY03s7vN7O4pU6bM7bqLiIhIH6UgjoiIiMjMXsm/9YaHFyGycRotP8tl3f0Wd38jh8uBS4GxjT7c3Se6+xh3HzNy5MgubYCIiIj0PQriiIiIiNS4+0vAU8B61bRsvHgYcH+Dl9xXLpvWzemdmQ7YvK2piIiI9CcK4oiIiIg0NhE4zsxGm9kwYAIw2d2faLDsxcAYM9vbzAab2d7A+sBFAGa2ppltaGZDcv4HgH2BK5qzKSIiItIXDGr1CoiIiIj0UqcDiwJ3AUOBm4BxAGY2Fviuuy8E0ehxNlT8NeBC4DFg9yLgMxI4B1gReAt4FDjQ3X/arI0RERGR9qcgjoiIiEgD7j4NODqH+rxJwKTatBuBGzt5r1uBNXpgNUVERKQfUXUqEREREREREZE20LQgjpkNNLMzzWyKmb1iZleZ2YhZLL+9mf3FzF43swfMbNvafDez18zs1WKo9wohIiIiIiIiItInNDMT53hgN2AjYLmcdkmjBbP3h6uB04juOk8DrjGzFWuLbuvuCxXD1J5YcRERERERERGRVmtmEGc8MMHdH8tgy7HA9g0CMwD7A/e4+6Xu/lbWO783p4uIiIiIiIiI9DtNCeJkNadRwD3VNHd/FHgZWLvBS9Ypl0335vTSlWb2gpndmT1CiIiIiIiIiIj0Sc3KxBmWf+vVnV4q5pUWnoNltwZGE1WzzgImmdn2jT7czMab2d1mdveUKVPmdt1FRERERERERFquWUGcV/JvveHhRYhsnEbLz3JZd7/F3d/I4XLgUmBsow9394nuPsbdx4wcObJLGyAiIiIiIiIi0kpNCeK4+0vAU8B61bRsvHgYcH+Dl9xXLpvWzemdmQ7YvK2piIiIiIiIiEhETDY2AAAgAElEQVTv1MyGjScCx5nZaDMbBkwAJrv7Ew2WvRgYY2Z7m9lgM9sbWB+4CMDM1jSzDc1sSM7/ALAvcEVzNkVEREREREREpLkGNfGzTgcWBe4ChgI3AeMAzGws8F13Xwii0eNsqPhrwIXAY8DuRcBnJHAOsCLwFvAocKC7/7RZGyMiIiIiIiIi0kxNC+K4+zTg6Bzq8yYBk2rTbgRu7OS9bgXW6IHVFBERERERERHplZpZnUpERERERERERLpIQRwRERERERERkTagII6IiIiIiIiISBtQEEdEREREREREpA0oiCMiIiIiIiIi0gYUxBERERERERERaQMK4oiIiIiIiIiItAEFcURERERERERE2oCCOCIiIiIiIiIibUBBHBERERERERGRNqAgjoiIiIiIiIhIG1AQR0RERERERESkDSiIIyIiIiIiIiLSBhTEERERERERERFpAwriiIiIiIiIiIi0AQVxRERERERERETagII4IiIiIiIiIiJtQEEcEREREREREZE2oCCOiIiIiIiIiEgbUBBHRERERERERKQNKIgjIiIiIiIiItIGFMQREREREREREWkDCuKIiIiIiIiIiLQBBXFERERERERERNqAgjgiIiIiIiIiIm1AQRwRERERERERkTagII6IiIiIiIiISBtQEEdEREREREREpA0oiCMiIiIiIiIi0gYUxBERERERERERaQNNC+KY2UAzO9PMppjZK2Z2lZmNmMXy25vZX8zsdTN7wMy2rc1fxcxuNrP/mNnTZvaZnt8KERER6S9UdhEREZHeppmZOMcDuwEbAcvltEsaLWhmKwFXA6cBw/PvNWa2Ys4fCFwHPAiMBHYFjjOzvXpu9UVERKSfUdlFREREepVmBnHGAxPc/TF3nwocC2xfFW5q9gfucfdL3f0td58E3JvTAbYAVgA+6+6vufu9wHeBQ3t6I0RERKTfUNlFREREepWmBHHMbDgwCrinmubujwIvA2s3eMk65bLp3pxezX/Y3V/tZL6IiIhIl6nsIiIiIr2RuXvPf4jZ8sBTwEru/ngx/Ungc+5+aW35W4DfuPvJxbQvApu6+9Zm9nlga3ffspi/FXCTuw9q8PnjiadpAKsBD3Xf1s2zEcALrV6JbtSXtqcvbQv0re3pS9sCfWt7+tK2QN/ant62LSu4+8hWr0RnVHZpe73teJc5o/3WnrTf2pP229zrFWWXmQoNPeSV/Du8Nn0R4olWo+Vntezs5s/A3ScCE+d0ZZvJzO529zGtXo/u0pe2py9tC/St7elL2wJ9a3v60rZA39qevrQtTaKySxvT8d6etN/ak/Zbe9J+a19NqU7l7i8RT7PWq6ZlA4DDgPsbvOS+ctm0bk6v5r/DzBbsZL6IiIhIl6nsIiIiIr1RMxs2nkj0wjDazIYBE4DJ7v5Eg2UvBsaY2d5mNtjM9gbWBy7K+bcDTwKnmtn8ZvZu4BCigUARERGR7qCyi4iIiPQqzQzinE50rXkX8AwwEBgHYGZjzezthv6y4cA9gBOJNOMTgd2rQpO7TwN2AdYE/gVcD5zp7pc1a2O6UV9Lle5L29OXtgX61vb0pW2BvrU9fWlboG9tT1/almZR2aV96XhvT9pv7Un7rT1pv7WppjRsLCIiIiIiIiIi86aZmTgiIiIiIiIiItJFCuJIt8jGHkX6FTNbpNXrIDKnzGzjvnbMmtlirV4HERERkWZSEEfmmZmdDUw2s4VbvS7dwcyWN7NbzWzHVq9LZ8xsYKvXob8zswuAa1q9HjJ7Fvr19c7MDLgDGNvqdekOZjbQzA4jGgsWERER6Tf6daFW5k1xU3QGsAKwSQtXpzs50ejkwa1ekboqeJMNZGJm87d2jfq1S4FNzGy1Vnx43pTLbJjZQA/TW70urWJmgzwawPsmcGBfyMbJc+ATwCAz263FqyPSZWY2qNXrIF2nh2rtzcwG9PeHPNIa83ru0EErXWJm5u7T8wbpaeAG4NNmNl+r121e5fb8CFjHzMa0aj3M7GP1AEERvNnLzG4Axrdk5Xg7u2Fg9X+r1qOZym1291uBe4FjW7EOrlbpZ5BdNm+X/799YXT3aVlIO87MTjKzJVu3ls1V/C6rANYXgHcD72/JCnWTYrvuIjJxPtnC1RGZJ+7+PwAz28LM3lVN7y/X1XZV7Z+iXNb25d/+pMrQdffpeT8zzMxGtHq9pO9rcO4Y2ZX3URBH5kqmsFt1A1kdgMAJwLbA+i1buS6qtin/rwpNdwN/Ao5s2YrBpsDi5QQzG2FmPwe+CFwF/KrZBYe88FlmN0zrTwXNYpuXN7MDgGuBD5nZcj3xeWa2pJmtnv9XJ/1qHRY3s5PNbDs9yQXgo8DHYIbzEmY2lugaegfgfmCBVqxcM2XQamBxnp6ev9mpRID6SDNbsLVrOXeqbYL4DeTfKUT33yuZ2XtbuHoiXWZmB5jZU8DXgR+a2TfNbIS7e3+6vrab6jxkZjub2a+BiWZ2lJkt1OJVkzlQZeia2bvM7ErgN8BmyqySnlacO8ab2Z+By83sq2Y2am7eR0EcmSvuPi0LFutZNJI5JKf/BfgtcLiZDW7tWs6ZMhKa21Q2kPk08BNgUzNbtcnrVd2oHODuv63N3jlm+Tvd/Xx3v8/d3+ih9TAzG2pmF5QZQXnhczNbyMy+RwS8zjazlXtiPXobMzuKCAZsArwTWAg4pJs/YxUz24YI1m0M8b3nPlnAzE4DHgHWA94A2uqGfF5Z49Tnie7+odpyI4D9gIPd/b3u/hN3f7wpK9lC+WSxCjbuZ2ZlcP1EIkDcNtVfi6el0/L4X7oIXN4P3Al8qoWrKDJLVlTZKAMz+QDgI8AR7r4+sD9xXflqtUiz11Vm1lkwzcw+STQpcDnxUOfDwFcUyOl9GgVnzGwf4Ebg78AewC/Qb0660SzOHccBBwBHAScDywOXVvfVc0JBHJml+hN+M9vezO4Hfgp8j4gerpOzP0+cBNdo7lrOnaogVURCtzSzW4FfAheZ2Xr5JP/3wN9oUjZOPs2xWhbBx83sG8V6rw+8luM9+rQgYzVvAi8C/yjWaTGLBkUPBeYnbgq3Bz5rZsv35Do1SycX+wGZvbAdcKS7H0zcOB5NBC8X7YbPXdTMrieqiPwPONzdL6jm5zG7ERHYWcvdd3P32zLDot/Ip2cLmdkqxbRpZraEmX2nWHRDYDTwf9B3256oB7XMbJSZXQH8BdgXuBU4wswWc/cniILqEdaL0/9txipx081sWTO7CHiUuGG6IOc9SQTc1zWzdVuysiKzYDNW2Rhaqwr7SWCau1+T15CPApvl66w/t+XVG+SDk4bVl/MhwSHAWHc/x92vAv5MnHPbJkje15UPbHN8HTNbOmePAa5y96Pc/RFgJB3Vj0W6rArc188dOX1ZYEfgGHe/icgCe4I49683p5+hII40jBIW2SBVXe0lMxvjWODb7r4cceM+FPiYmc2fbYQ8DBzaG9MRixP59BwfbGYnABcBPyNuxucHJuVTlEeJ3oe2tx5uR8PMNgEmAh+wqJd7QhboXgE+ZZFaPR0YAfzTzBbPm9Yh+fqlemCdqu/raHefah0ZVjsBZwObuvs4d7+B+O6WA3bp7vVopuomv7jYb2Fm61s0DDudCFCuD9yWN86vAOcB/6F7GsJ+DzAYWNPdb3X3/5rZWmb2iVyfgUTk/gl3f9rMBnUW5e/LsgB2PnBSjr/fzFYChgOHmNl+uehSRNDzjdrr57c2yRisdHKergLS1Tltg5x1EDAFWNrdtwE+A+xK/HYBPkdUL1uHXqbYpuo3uHDu2+uAacAWxPrvYmZVe1S/J26ejmj+GovMWgZv3pmB1cvM7PNFAPoFonHu84kyx0rA+u7+UeJ8prZxWqiovryAmR1sZhsWWTZLEw+4zMyON7OniRuwD7r7L1q20jKD4oHtgWb2EHAOsHaW914DdjOzL5vZA8R1ZpJFho5IlxWB+9EWTR+MNbPRWV4bTJS/njOzbxGd6awDrO3uv5/Tz1AQR8oTnDWIWL/PzF4hslGeBL7m7uflS7cjMgI2z/8hbqr2AXpdjz3Fdh5kZlcB7yIapv2Qu3/N3W8Gfkys+4fzO7gNeAo4vCfWtVjfe4jsi+8Q7XeMBl4HfkgExo7O5SYTVSG2zm16KwuDh1o3NchmtXYnctqPiXQ/gF8TWUtlz1iTc703N7MlumM9WqEIWr7TzB4h2g+5CPhmPhX9AxG4XK84EU8HHgf2tblMoTaz3c3sS9ZRlW9JYBXgLTP7iEX92A8Ch5nZ6nlMDsvPrVQp+n2+rZeKuz9H/DY3MLMHgZ8Do4j9cBZxkw+x/0YDO5rZgtX+JQIYc/y0ozeo/R4H57QqeLOcRZ3+6zOg+zPgBHf/j5m9n2graANgOzNbxN3vIaogHdOqYFb9XN0gyL6Omd1GXHveAr7k7ge6+9+Ia9G/gHFmtiKRCn8V0Vtcv6jWKb2TNajqaWZbEdnLzxBB/42BM/Na+SSwOhEQWNLdP+Du/2dmOwJ7w4y/felZVrSRWIwfR1Sx/wjwbaLdolFEGW1Vojz0PmBvd1/f3W+1yPBeusFHSA+yTnqaMrPPAB8HTnL3zYHbsjzwHSKbfABwGrAnsAhRDVtkjlmRvJDH4WAzOxX4HbAy8QD2SjN7N3Hef5io7TEd2MTdt3f3B8zsEJvTKlXurqGfD0QAZtvatC2Jp5vfBN7XYPnHifSvcUSq/jcAy/mvAIe2eJtGA/PXpu0MHENE2nci6r0ulPP2zx/VXUT92AeIE/kQIjD1AjBfN63bwAbTViWewr1MPMUp540nqjQNzfHTgX8SF59r8/s+qZrfnetVzDuRKIAuQVzsDiZunEYVy3yYCOYcnOPW6mN7Nts7ABjQ4Lh5OL/PsTntYKLdn4/l+HlE9ZzhOb4AcAVxIv7wHH529VvZFtiuNu9N4DngeSK7aeM8Zr+S8/cmbmoXLV4zH5Fpseicbn+7DPk7HViMDyACaT/I7/yG2vJrA68CuxbH7t35WzmAaLD8T8C6rd62ufweRgNfKn9XxJP684lCwvG15YcRgY0ncrsPB+4DPpDzdybO44u3eJtWqU1bl6imeFG1TcCgPA5WJ643/wSOJ86Xn85lVsv9OqHV+0pD/xvq17v8fe2e/18LfKKYd1Ceuw4jAvfnEkHpDYlgwM1Em2d79PbraF8ZqJV/gCXy7+rALcC7cnxojl+e4z8kqneunOOLAxcCVwIrtnq7+sNQlKcGFNPq+/P35H0JMJColj6ik/e7DDik1duloT0GZr6PWC//rkzcE72zmPerPBbnz3LOC2S5HViLqP1xC7DqHH12qzdeQ2sHoiGly/OktUxekMZkQeJxIloNMCT/LkA8Ufpo8R4P5bBzji/R4m06nsiwGZ4/lA/lTcADWeiv1nNA/t0c+AMdNzcfzgLWfjn+DiJKOq/rVb+o7EZE/ZfJ8aWJYNj15fK5Dc8BR1X7ggiyfYrIOFh4LtZhtgVC4mbvYqKxrSWK6a8QbbRANLz4S+CrxfxFiAyArwKDW31sN9pu4kawHhQob4oHE+2I/BNYIactBkwA/pDjCxJBnN8B3yWe0H2qPFHPwfrUT/oDc7+eRQRxHi/mDSW6hr69OFZuI7K3jiHaJnoqf8OLtPq77s59Vts3A4musasL3gr5vf8SeEex3BDg+8Ddxfe3OfBlItPu4FZvWxe/jw8RQeZxRGDqsjw2vwD8F9ix2v78+xHg5uL1h+Rv+ArmMeDbTdszlAgMfyb39X5EOvGeRPXE3zZ4zQXAt4rxvxJPspbJ42PtOTnHadDQHUMet/Vz+TvyPP4IEciZn3gw9GGiDYT783x9WPGaQUQVjwvzvH4yvewa2l8GogrubUSm4kiizaKrc976ed59lY7y2NpEr2IP5/XlX8ClFA+4NHT7PlqAqDq7d46X5YQliXLZrUQ7nZvl9HOIB7UXEA9FbyXuW8YQ9wo7EMHUKfl7Hd3q7dTQXgPxIGlynuMXBT4L/CLn7UHcMzwDjC9ecwFwE1GOfQ44E1hwjj+z1RutoflDg0LHicBLwL/z4rNwntTOAf5WW3YkETk8nnji8M08YX6MSAVu5XZVN+rzZyHpN8RNy/dy+sfzJL5H9T3kcArwy2LaycTN0gR64IaAqMZxa/5g7yAycBbIeXsAjwGb53gVyDkut6VbCnbkU6PatF2yIHJP7t9niHZ61sj5E3L+cCLY8am8CJYZIb3qwpfHwqeBT5bHSP6/XF60vwOMJTOtiKyFqdU+yWnvI24YP5LjqwF7EVk528zF+jTK/nkPEXTcuJj2X6Ja4pDi82+mIzNheaIQcylwPbBbq7/rHtyHg4gb/ZeIG6N7qu+caATuRuDLOT44/25EZCttVrxPW93c57Hy9k0ikbXyIFGH/1d0FE7XJ6t8Vt9X/h1PBKNXy/PHFUTVpHe36vug4xxd7acvEg8LXsj9unaeW35OZC8ML167BhFsrzJvDiUKSX+kwflMg4aeGhqdx3P6Sfkbvab4HY7Mc/QLeQ3Zv1h+PaKB+mp8aO39Os2O1TDv+7D434iHUDcTQfGTi/13NnGD9Svi4c5ZdJTXliyOh3cQ5bfFyvdt9Xb2xYHICJ9MBD3nL6a/m8i6nZj74hyinL0EURbchrgPqHoVvZ8oww0hyryXAhu0evs09N6h0W8aWJa4l7iFDO7m9LHEQ94HiYdNny7mrZV/hxBZ01vU3nOm60vD9Wn1F6KheUMnhY7FiF6mHgMuqs3bmrhp/0AxbT7i6f/9xI3u98uLVgu2qVHVpL1z3f4ObFRMX4oImnyBomoUcTP8O6KL9DeIJ/YLzet3Xf++iafF1xA9qRyY04YTNzFfLZb5EdFafrnei+f6zXOQhAi+vJL/jwB2KaZ/tFhuJ+IG6bgcn5/IEtknx9cnCqX7tvrYnsW2DiWejl1BR4FrIeLm8YX8rk8lCmdHE0/zBxGNFZYn4xFEsPKBWXzWHBfYiHZvDqfjBv0RIqtqkRz/AfEksKqytXCu560U1V+oVRls56GT89NxRKD4PCLoNgK4BHgw58+Xv+dfVueh3H/zEYW8U1q9XV34HmbIQCqmb0X0KvUniszAPDZOIzOPiumjiYy6h4iC7XtavE31TMQFc7+9BpxVm3cYkXm2XTFtKDCJSEV+Ps89K7V6f2noXwO1KhtEsH1ijq9FZHLeUi6b5/Zbga2L155APIHdosFnDJyb64mGudp/g2rjW9JRrf5BIvD93mL+BjntzNrrDieyG2eqZp/7b45uwjTM9f6rHgQcktf4qtq0ZVngvGLZUbnvTq7/noA1iYcFO+X4kPIz6tcrDf17qB8TOT42y1+LEtXa3yzLWXluuRO4pPZexxIPxWd6KD+35/6WfzEaen6oX0yItPxTazcC+xGZK2U2wBJEgOfGBu+5OvMY6JjHbapfiNclenSAuElfnwiO7EY82a0KU18CbmDG4M5QIo3/08DyXf1+qT05z2lDasteSty07FBMG0tkGayY47vl+EQi++a4Hvj+XqajG+uqrZVlcxuWyhPSv4ngws+A1XKZ7xNtbMyf3+tSrT6+Z7GNVRbTnsTN7wE5vhjxNK2sgvNN4ubwfTl+ApG1NbhYZgfiSWt9n85xYQ1YEbiaCCBdUnyvxxI32lVd2mWIwkd5nHyQSPPestXfbTftn+p3M6u2mD6R38P5OW7Ek+3XyPaHiAvlr4k2VC4gLpoL0eYBrjwnXUw8IayyZ6rf5g9ry25J9M5UpZdXT5Fb+hutzonF+PJEdbBli2kTiGyq1Yppi+Sx/mWK1OLcr1vTwoCUBg1E2ehCIlvs+jxHDct5385rZplhswxRPfn5fN3TxAOlLVu9Lf11yPPQ0cQDzKqtlB2JHvDWqS17OfEA7jgi6/xB4kHm+xu8r4JvPbvfqiDOqCxLnVNc7+4hytNrEuW5f+Q1pJq/AvGw8naiStXpzJz9puCbhk4H4v7hM0SywPSizLUDkW2zf7HsgsCBwLPEg+Mv5/+/ppsyvtQ7VT/gHb19rJhdXH6ZOMn9xMyqbpH/StxYfqR43fNE+zfrm9k2+R5V969/dfdXm7cVM/KOXoSWz24Bfw78yMxOJm4K7yGeWI8j2nWZni+9mIicbl30wvSmu9/n7l9397/P6Tpk51LHEXWkIS4u7tGl3Ipm9gNgcnYnumEucwnRnsrIYlsmETel43L8WqLhwzeJajIT5vLrKddxpq7ezWwccTP0DuK7+Vx+7jPEhfFyos7xCkTW1frECQqi+sItua3/dfd/dHXdekq9hzXiaec/gfea2aLu/m/g2+7+sJltnz3gjCNOuLvma84hMj/GV+/r7je4+ynu/lb5ecWxVa7DTN97OhSY6u4j3H1foiodRCrmosCW2YvSs0TG1vFFj1c3EO2e3Dbn30bvkl0tTjKz+fN3Yt7RE962ZvaD/L2sC+Du5xJtWT2fr3F3n0IEbI7Jt/0dHdU73yJ6m3vV3V9v+gZ2g/yOxhLtk00j2vOZbGZD8vd2N7Cimb23eNmfiSD8F6Dj/Aj8r5W/UY8uNt3MFjSzE4hCzrHA1Wa2by52PvFQ4D1mNsTMBrj7S0RgZzOiYe/q/V5195t9LrrgFOmqTnq5mZ+45i9EPPi5i2jD6Uu5yI+I6/um1Wvc/Vl3P4touPinxHl803Y+l7er7HH1X8TN/hLEw6sdzGygu19PBNj2rvWedxjxAG5x4iHbF919bXe/pf7+nndv0j0sugEvy3Wef58irv2rElmqEIGbS4jgzjXuvpS7n0j0YrkSsW+HEEHWJd39eHd/s/y8RuU56X8a9XRsZrsR5dENiXulF4GDsiepu4hsyw9Uy7v7f9z9QuI+4gXiurCXu2/u7nd1y4q2OqqloXsH4slnoypGVxHtCUwopp1IRKqrDJJjiSo7VeOpaxAXuDPJNlpatE1luxBlFP5PxM3bQTntGCI9/7Ac34LIxtml9n7fJqqrzFWvLDR4wkJHNHZEjg8lLvjPEm2tHEQEmO4tXnMNkeG0XDHtqHyf5eZmnWaxrvWqC2PoyPIYQrSa/iawVU6rnlQcBPypeN2RxFOnSbSw2lwXt3kvOnqUGE/Ud/9wMX9PoreeY3P8ojymNs3xk2hQVaw4FhtV/6mvQ5mFsCrRaN7Gte+8yhg6nah3v2aOr0P2UNXq73Ye9kk9hXkTIrvryOo7JKqW3UwUsE4jnlDfXhybJxIXyHWK91mZmTOV2uoJGrVswpy2OtFo5m101JlejKgSdXqOr0HcRF6U4xsTGS5bESn+LauK0eD4H0AElh4gqpQMJLKDzidS4ZfL5S4hshrKKo8jicDUts3cBg39d6CjfDGr7MCdiSyM6po/mLjmv15cGy7OYdUcb3StUJWNntuPDaszEVVt3+71LqcdkdeXcTk+Pq/TKzR631mNa+jefVjbn1VvYW83VUC0bXMdcEaOb01kkG9ZvPYAIrjTqCynaosaZhga/abpKKOfB3y9mL5ulkOrTiX2yTJLVcWvYRum3Xnub/kXpqGLO65xQKG8YVyQovs8Ijr4Bh1VZwZmQfkFOoIe6xJPif5I3Dz+gm7qVnsetqnhgU705PRHIlhSBZ0WJ3p3uoGORmpvIIImXyZu0PdiHqtZMGNQabEsAHw7x4cRVdPKepEfzB96VUgYS6TT1bsSP21e163Buq5FBCqeJqoHHUVHOys/BH6T/1cNje5KPP3/bF74fkI0qts2PWUQwbxPEQWx63LaskS7OBOr75i4+J9W7NPLiAaGj57N+9erJ87UrTfxhPYnwFfIdozymH2WrMpXfOfVsbQkUY3uCHpB70E9tG8WJm7q/1hM25miyiBR9eBXwI+L1zxS/16I7KVdmrHe87C9sw0sEY2blgXWy4mGilcvph2Ux8aCOT6WCK7+hagS+d4mblOj83T9N1Gdf41oYPK/wJeK+VsxY0Pd7yYyFC8gMv3uJLIB2+a8o6E9ByKwfEAn8z6Q14wD6Gjgfxfg5dpyKxBlqeqBwG5EluU+nbyvbhy7b/8tVZ5vavNWbnB+fbv6VI4vT2TZXF1Mm0o2lt/JZyp405x9O4hojHg6ee/SYJmTiazNMTl+AlHm/XFeU/4C7F57TcN25zT0r4FZVGkiMim3JR/2Ew+V/kJH9amq/H4DUaV2AJG9fxkNmiAp3rdbHza2/EvUMBc7q3F3llb7uyTxpOHxPLC+USz7B6L757LHjy8CDxXjSxD1hDfriW3oZLtmeVAT7SN8LbfrMDqe1n4MeKO2bNVuyP45vhZx03gLtaBJF9ZzONGT1bhy3bOA9zp5g0nH0+WtiQDPU0SG05PFa24jnj7PVTbQXKzrGsQN0UXA2Jx2DFFn+IM5viZxc1UGnJYmosk/AT7b6mN+FtvX6EZyFaJa4C+B/YkqJtPIrj6JrKKb6Iian08U6Koecr5C0S7H7I7N3O93ExkF3yYCp9vkOtyVx+oDRGFiHSLIeA3ZW1rxPuvQkTF0Ih2ZQG1fyCB63vpkbdpGRACiaqNoFB2BxaOIBsn/RvQqsUlO/ypRMFuz1ds0h9tdf2I7rMEyRxDB1fuIc/Wncvq2RLtT2xTLzpfTjq19j7s2cZvmJCB1CPEk6vtE8GZBIjvxTrJdo+r7AM4gCt9VY97bEYG54/vCsa+hPQaijZqbyUayievz4kRm2F/z+vDzvJ4sRQRsHqF4sg+sRLQz90wxbWcdxz2+7/YkshQ3rk1/V16XnyXKXlcSwbpBRFb6mblc9YT9IqLKddXr4QlE9Tjtv+bsx5kyYoDtsyxwCrBhg9dUD7/Wy9/nF4p5SxKB1Ppxof2pAXeHqKr9CpnNTUdQZgOiXP9klk8epaNMfgfwnfy/6jn2NKI6bdWj8L7E/UdTjrWWf5EaurDTIvvjVOImdBwdAZzBRLbB+VnYeE8WPM7O+QcSkcTypn1JIsq9Vwu2o2wAeFAe/DtRNMSZP5ezjwQAACAASURBVKiHiRvhA4g6sJNyvRfOH9oJxfJLEVWVbivfu6vrVZteNSp6NVFt4XmiKsMSWZA4pVh2vTwRHJXjY/N73j3H96Ubu4UmAnyD6KiCsgGRSfM4M3bB+DMi4FAFwq7L5U4kbrTmKdDVhGNmVoHMw8jMmxxfObdpUo6vmvvurHyfEURB7XKKXnDK9+xkHfYlbr6rNpf2y337WSIV++Bi2Y3zN1hlwH2EeGJ7Ru6j44iu3A9p9Xc7j/uls4y5M4kL4VZEFcYv5fRvAL8rlhtABB1/R7QBswIRYPt+zl+OOLct21Pb0EPfy2FERuO3gXWL6bsRwY71ctt3zWOoepp4OxHQKHsiO5kIFs/V+awbtqFeuN6FuMnZtlyG6L3tbiJ74SQiMHVqzt+fyAQtGynemcim/HRPb4MGDfWBjkL7NsQN/xHFvA8wY2bGQCIT7gdEBvPped6uqigfTDTQ/Xc6yerR0CP7cGHigcBn6MjGGZDnzgk5Piz315+IMtIJRNBu8+J9vkMEe37Q6m3qTwO1jBhm7Eji3URg7dd0lG8blsuynHEH2QFAg/nKnNIww5BlyouAn9SmXwicXIyfRQTzV8iyz5sUSQ557D0LXJjjTQ0UtvyL1DAXOysuWGcT0cNLiKpBJ9GRYr8TcEex/CpEcOE+Oupv3w98nqJnKSJ7pUcyQuZwm75J3Nhemz+YqnqXEU90jymW3524kanSlo8D/lF7z/2IoMSC87huqzaY9n3iZusvFD0TEFkeLxbjZzNjIXACcYNzTTd9b40yUfbKdRtNRxtHD1P0uEUEwm6no87mErmuN1B0Jd/i47xRd8T13sjWJBoJHkVHYfxysmv2Yto4orpJlenx+dwPW+d4PSA0J9kGN+b3NaiYdjFR2BhGZB4slcfKv4hC5q109DB0IJG+/Yd8r41n95ntMBA3OlVBuspK25EIdr5KPA2t2ojYhjg3fSDHNyculFXVs/fm9/lvGrRN0FsHOgKKexI3dHcSF/6DyOA50SbVz4EDc3wZ4mnjdPLpPvDhPMdsWbz3AmQPfC3ato8SWYX3Eu3bfIOOLLcqWFlt/4JEwPhFIli6eM4/tXi/kUS1w5Ztk4b+OTDjjeMw4FtEGnxVNftHwNfy/1PzuP89HT1gDsjf8G+JdgX/TGR6XAJ8q9Xb19cHZqwe9cXa9XUtiupuRPn2b3m9GQGsRrRt8SJRHriLKDt8jnioVR0Db7e9oqHH9+dmRJbyucRDsqrL93OBB/P/TqvxZvnhE8DCtfnKvNEww8CM5fY9iAfd1Xl9c6K2QpVl88ksx00m76OIZigeoKPa+5lE7YV/F+87oFnHXsu/UA1zsbMiVf1asupFg/n7EzdC6+eF6Tni5qDMeDkpD7y1mrHOs9meBenourGqTlJmjRhRDepDRHrsL4hgz+nAArnMCkQa85HF6+bpwkvcjN5F3FRtX0xfisi2mAxcUHvNKCI7o8q8+Ux+/z/Kvz8kG2brxu9vKYqu0nPa38koMlHdYjIzppnORxR4JtJR13NId67XPGxPvXv2Fai1KUBUrfsKERS4O0+4++W8TxBVTsoCXtUe0Sk5vg6RLTOs9r5z/KSGaDvqFmCnYtpVwOeL/TKZKNAvRNzgTqHI1MrlZmpLp10HIoD4PHBibX9WjUbewIzVOJcgMuZuLvbr9PxtX0Gcx3YjM8baaSDaX7oe+NgslvkzcS6eSNxMXEYGsIplniYKCC3vKp3IIPsdsGcn87cnqiquRGQdvUDcEK1RLPNJYHqrt0WDBneHuKGflOfqG4jMmqrq8UlEFsAUotxRpcrPTzawntfSFSjaVSCyPT6e/+sGsmf33wAiw/njREb2YUS2xmZ5/j2VeIj1EPDRfE3VmYARQenv0vFA8BAi2LNAq7etPw25/54iHsh+LvfBd3PeukSPk1vkuDJqNMzzQDxA+nIOfymOt9WzHHomEZy/g8zSp+NB8CLEvdUpwB45bbc8bldo+ra0+svUMIc7Khpfe4yOhiAHUeslh+iB6LkseOxTvHYZOrJb5qdo06XF23QwkaWwcrkdxfwliKe5TxHpaifTESFdFVgl//8CcHg3rteQLNj9j4i4fqI2fxxxQ/P+ar1zOIls9yan70q05bHlXHz23DTu/DOimlnZy9URefIZmdtxChG0KauoHUm0e9S0Rqvn8vtfl3jK+SqRUTUwj/cz8kT5uep7IdKgf0EUyKvMs5OL9zqMaKz7xUbfbRfXz4hC4hlEavbDRHp2dTzuXjsODiIK95cDS7f6++2hfXYCcfGbnt952aj6Bvl9HVN7za65v6oqgHsT1RXPb+fviQj0PkpHlcXqxqE6Tw8kbjCmE0+RyypTR9LRDtBmtChDslgfy3PJn4hudavpb29L/t2faETyNaJa3DuLZXckqvouTWRaLtpdv0UNGroyEAGYC/P6uTLxoOgx4mHL/ET7TA+SD2XyNcvlueno8n3y75JERvFdwNqt3r6+PhBNBfyNaFvw88QDhDuJMuM7iYzzR5kxW3oZony0fCfv+V2y6QENTduPVccgZS+Tu+b+2zPHrwRuzf9n136mrisaZjkQ9xdPEw/YxxHtm/2TjizxXxEB/fKe6V15fl+4k/f8CUX7s03dnlZ/oRrmcEdFgX5qowtQUaAeSTzd/jUd6YgfJ6pTnUNRharF21Kl3P8YuDL/n6lr2vz7BSJl+b3FvHFERtL7e2j9hmWB4HAizfp5ohHlKoC0NpEtcF7tdasRN2b7def3VIyvRwTzqoLjPkTVqD1ry00l6/cT1VLuoAhs9NYht+9OIhB5OrUMBKKdgjfJIE5O24poyPjTOf5hogrOdXnc/5noXet+sg0iuiHVkUi7nEJE8TevzduUuJk9i46Gj7eqH+N9aSAaHr88f68PUTTeTATgzsvfzOhi+vJ58bu9mNb2hTAiAHlp/t+wy3ki4P40kT22DLAFUXi4q348tXrI89rrdATby6oo1Xl6KbLtn2LemkQA9Sz6UNaZhvYYmEXbUUSV41coMpLzGv/r4jpxJFGYP4Moq0wlHhqUQdcqO/fFvOas1hPbouHt77s6f34FuKyYvmbug/1z/NQ89xyQ15lT83x7BkUWLpFBeEZey++gkyx3DV3aV7MtZxEB/b8zYyP+I4kM1aoB2c2JcvW6PbWuGvrPQDxYv6AYH5Nlr3NyfHeiGYQjgS2Jpg/+QTRgXNUAGULUeLmKaCvtWmDFVmzPAKRdPE+0H7MagJkNrGa4+/T89wWid5cpwA/N7I9EtsvJ7v5Jd3+1uavcmLu7mS1InOSHmNkgd59WW6baph8QafpXmNnXzOxBIuPlcne/pbvXzcwGuPvLxJPjJdz9cOIJzReIVE/c/X6iUdKNzGxNM1vVzD5KZGTsDvzMzKyLn7++mZ1vZiM9zxZmto2Z/ZW4Sf4hcJWZDSAiya8CW5nZyOJt7gQ+YmaLEtWNbiKekvdaZjYfEXBcz92Xdvfj3f312mI3Ew2hji6m3Z3Ddma2qLtfQVz0ryPaJliLiLQvRFS7w92nV9/tPLiDqPLzA3f/dW7DkJz3B6J60WLAj9x9O3e/tX6M9wV5HEJ8F+9x9y8Q2SUfNbNTzGwFd/8fcQwuCuyQr9vB3f9OFNbOy2nWDfulZYrf/N+I9jFocF7z/Hs3cdO4GZG5ch5wk7tvUB1PvchKRGB1TH1GdZ52938Q58h3mNmtZnYzEVz9KxF0fbF5qyv9WVU2yvMOZrZ0g8UWJ64l5XXzGiILZ2czG+ru3yCq6zxKXGNWdPePu/u/qt96HvfXEMGbXdz9oZ7arv6iuKbMJMuOCxPt3jyYyw929weI8sEBWe45mXhAsAORybEG0Q7gsVm+q/ybyDb8kLtv6u4P9shG9SMWBsxhOWsJ4ne4Sb52oLtPIa45L+Uy9xFZEAMbvoNImtW5o5i3ajHNiAe8PwV2yfuua4gH+EsSPfq+QgQQP+vurwG4+1tEgP8OojOK3dz9iR7YpNlrReRIw9upuVXa/FBmH7Femci6uC7HjaIBWCI7ZZ/8fwBxADb1qRDR8GbVoGynLckXy3+P+BGUjQUOyO0aTNRZruohrk80CLtDT61/sV7zEcGSH9fWdTrZ9g7x9Px84inCyxRVDebwM2ZKC6WjK97pwEk5bUmi/ZWqEdQNifrf38rx/Ygo8t45viAR+JpO1tdsl4FIkX6NoqFTIuvpXLInHKJQ/QYzNsy9E3GhP7KT9z2JKOB1azYA0SjaZDraS+i3jSASweKH6KhStjfxNONHOT4fkV31ABFUm0qLnlzM5XYNzmNuWI7Ptv2o/E3+C9i5fJ/8uxhF73A5bVQLtquq6jWAzqtrVk+9lyduZE9nxh5gqmpiG5E9shH1xVenk7ZzNGho1kA0nv40cUNfz+pcmahm/Nna9D8T7ap9uJP3HNifz/M9vL9mOg/RSRmSaMPo/LyuVGXgTxBlsb2ZMVuwbIttpt4tNfTY/lyWqAHwFaLNkCprs55hfipRLa5qnmDBLK/t2upt0NAeQ2dlmAbLDSKqX95O0ZwE0bzE221nlsuXn9Ebzx3KxGkBM1uEaFDpdAB3f9Pd3cyWMrOFOnnZ48QThZ3M7IPeYZqZLU+0O1A9HZoOPO9NfCpkZrsSqchr5zr8L7dppoyUIovoB8SJfmy+Zrp3RO/XJhqEXTTn3ePuF7r7DXO4PlYfL7OXZsXd3wCGA0+Z2YZmdjHxROc24DNmdpm7P0s0kDvW3Ye5+8lz8t7FZ0xvsJ4LExlXlwH75bGwIR0N5eLufyBOOLuY2SrEMfE48EUz+yZRved6orHFq+dmnZplFtHy+4iL90lm9i4z+xURwPoPEaiCqLLxN6INlsqdRJr728eGmb3bzL5iZi8Sdaw/792fDXAdUfVuu3waOH12L+jN8jcy0sw+VO0jMxs0m9dU+/J1YBrxm9mZeJLxL2BPM7uQqEZ1PNHG0Xh3H+6tenIxd7YhqkvsD/EExsyGmdka9QWL3/JviDazvm1my+dTyf/mvEOI3/nbv3t3f6onN6DBev4GOMHMhuf5dlqj83R1/vbImLqFqHqwa86b7pnpQPS+NT238yV3/6u7/7hZ2yP9l5kNqF9PMnP1PKKHuM+4+xe9ltXp7o8Sv9PtzOz4fN2BRObYJCKQU76n5W9hWruf51tpNlk203KZXc1sgpltRTwYLF9fleG+SZyLtvGObMfliXYMNyOuy9X7Tq2Okywza//1MDPbi8hIHkaU374KfDaz7qsM8+pY+C7xu7vYzK4mAq+PE0HW8j2VidOPzap2Q3HuONzMLjCzQ81smQbL/Y+osj6U6L23sjBRDX6L6jjL8/3/inNH7zz3tzqK1B8GZnwqUD3dHEtEA3ciejj4E/EkezLwjkavJyLU3yYa+b2daED0BqIa1QTmsUvtudymAbV1W4Qo+Hwix9cm6pGfQdZ3pfGTlq8QjUp9D9g5X/d94snvEY1eMwfrtgAddRfrjSUPzu985Gy262tEZPZxogvuquvjfYmLy0zdj8/lOlZdfdfbs7mPqI5yE1G96P3ERW1w7Th6iY66+8sRVTMurqa1y1BuU45vTQQEXiB6s5mpC3Bm0ctNcTwuRrQZ1KPddxOBvOPopY1Ed2F7PpTH/WrFtGUpskXq+ySnvSdf9xSRnlr10rYzEdA4qdXbNgfb3ug8vTjwdeICP4K4efgPkVH0DWCR+mtzfFR+D08RvZRdQLTZcCOwZhO3aWD9fyIIfDfRjsT8xNPSPxAZa8uW+7j4uzJRbeTfxDn7/USGwxPA1bRRN/Aa2n9g5p4My9/uRsTN/P3A0Abzq2N6USJ7489EeeMvRJXQlm9fXx8oOuYopq1CPMT5P6J66T1EGbJhuZYoCz9ElHvuI9qu2KDR9UlDj+zDzjI4FyTKr2VjxV8gyvk7dfIaI3oOPZg2yNDV0LqBWs+yOW1UlmF+T9w33UXUplgr5w8synRDieYO/kO0ZfNUnndWbvW2dWWoNkp6mJmtSKTiP1yMn0y01fE0URi+isii+CPwJXd/pN5OREYJdyBumpbL157uLWjvxqIdk/8RN9TTzexrxIn4EiIA8zsio2UP4qbw78VrB+RrFiSe8B5FdCW4DPFDPMHdn+nCOi1FNKD6J3f/VNaxnWbRXskJRIbAQ7lePwK+6u5vlN9zRny/SrStso+7P1Jf77ldrwbr+XPiRuhJoirWD3P614gAxnSiitymxD4+0PPptkUd/xuInspunNd16Wn59OV/xT5fgUhXP7PBsosShbF/u/u+tXkrEZlKg4lGx84AXiv3mzf5hNaKz+wpxf55lPhtnEc8JduMuNH5jUc2TaPX7kC0b3N2fb+a2UKtOD91RZ6PtgJ+XhxXuwOHElUn/0EEdTYmGj0/k2iAsTxHm7t7PgnamGjDaSngInf/czO3J9dnIFFweSP37xAiCDWRCORAFHrGA8+4+46dvM9CRMByDeIG+C3gNHf/Vc9ugfRnZjacKJhf6+4Pltdgiyzko3LRm4Bf5vX8cuIaf4C7Pzeb91+KCMb+XzGtW67zMiMzW4DIpv2iu9+U05Z093+a2eHAZu6+V05fnGjf8VNEF8D/zenVdapqG2cnojfIicXnaP81iZltTLQP8kyWtVcistk+SvRIeArRY9jpRA8+s90vVZaO9qFU8jx9KlHL5HiLdkDfdPeXzeyzxIPGj+eyY4iHSze5+0G196nKZ+8kymf/dPfri/kDvZ3ar2x1FKk/DET3ZL8CTszxw4lskX2Jm/gfFctuQQQ/Dmr1es9mm44HflGML088qf470ZvUZjl9PiJzZdIcvOcyzGVGAxHBX4JoOXw4cbPyWeKmc/5iuR2JQt6KOb4JEcz5VO39qqd0XwUeyP+7vVchIth1A5F1dCvw8Zx+NRH0Wod4IrUnUYh5kghCrUxUt/opc9A+R28ciADfZGCZTubvAfy32Bdb5u/nBWCLVq9/XxqIJxgb16YdRATLjiLqDy+Yx+DzdLRNVGV1VA8CViQCj1U3jW35NJRovPzX+fvbmghaDCa6I/5P+V0RGXpX0/G0p9f1rEVHg9475fiaee35DPFktLz2rEVUiZspe62+bai3KQ1NGvJa/TsiYFheo8fmdfE7RED1MWBiztsq581VG3o9ca3X8PZ3W+23yURG4jlEpvPeRLntN8DWucxpuT9/w1xkPbfrdae3DxTtbxbTPkBUbX+IyIK4kKiWsnqWXR/N/fuZ4jWrEx2GzPKzWr29GnrnQNwD/S7LXdPJdgeJrJvjs6x6IZExfBlz0d5gu5771SZOD6rak/Bo8f5eYJyZPUeksy9OHIwPECc+ctnbifSuzcxsVL5Po3ZlutT70bzIauFVvdRLga0teoz6O1HAeoFIf30HcROOR/sypwEfygyMhu+byz6by88xj1/fm8TN1k7u/iZRQHiTqG5WPV3fjcgkeMLM1iKqH40GXizraXtH5P9h4NdVPfi5Wac5dD/gRNDrPKINnP2IG64x7n4fUYXjCHc/m3j6/x4iePMy8FGPFtJ7nQZtFKxnZn+06MEL4vgeQTRi3MitRHr07WZ2O9Er1y3Exf/2zj5HuuQYol0lzGysmY139wuILIvPA1e4+3+IRiR/SrTlBXEBrX5/EPvzPrINA2+jJ2i14+ga4nx8I5GmP83jCfBNRNBj8WLZSURVs6onql6TkZX1uAd6ZED9FDjFzO4hMj3fTVRffR14OTNz8MgS+jnZC1+p3LY8J6q3KWmWu4njcmMzW84jC2Mo0RbT2R49Rh1OBHU+ZmabuvutRHbzLpnRMUdlph661vdbZjaw+N4H59+XiLbG1iLKbD/KcttA4Fwze5boCW9fd9+MKKMtXH/v2ucoc6MH5HXEPEwr2gtZnshOPdHdVyMeNi5HZLb/leg57CGi85av5WuOJG60h8/qM3vTdVRap7jXLMto7ySqyy5OBF1+lteCaUS7hVXtjQ3c/SNE+Wbt2XxOdf/Zlud+3QT1gOKC8j8zW9qiwbwliKfVV7r7Cu7+d49qOjcAi5vZhsVbXEIcrFvn+8x0UmvFia44kQ8gUuohsokOd/dxOf494uZ8heJ7+AXR5s/RMHNhal62xczmd/epRJsTn8h03f8jblb2y/f/D1FXeikzu54IErwGjHD3S4inQHUXZOGwR77nfN8ziepSTxJZDwcRVeXezMV+AqxqZvt5dHe6H7COu49393/3xHp1hyxkW6Y/QtzorkMEMTclGgRelfg9NArGvEQEtkYAP3T3pdz9S/m+b5/YVWDrGpuxgcDTgBFZcP4SEVQEOIu4MFbdsr9G/MbWMbMN3N1rBfS/uvu6GXxsC8XFu6qa8WkiNX9+Io3/fe7+1Vz8tznsVb3e3e8kGmTc0cze1cRVny3PBotzdHUicHOnu49y9996dLP7E6IdijK4fiqwjZmtSSdUyJaeVtwsDsiHFXcQD4aqcsbSRHXkX+VyQ9z9d7ncfrnMucTDm/VBx20zFWW/aXmtmD8DNRAB8j8Cf3P3vxbXkHOJcsH73H0bd78jgwXfJjLUO6WyQM/I64ib2WCLjjNuzqDoVkQPoZeb2WAiiPNe4sEkRJbqFOAmMzvdzJ4ibrInufvfmr8l0puV9wDluSPHR3pHNfCLibLpK0S7WuR55bdEr7WHufuB7v5o3mtMBN45qwe+7X5dUBCnB+QBt4SZbURk2mxNpK+fTdwwrVQs/muinYV9itf/jDhIh9pseofpSQ0yKgZnQGozIpPkcCKqfnfOH5RR+D8QJ/Wli5d/iwiyDO/qj8aivZQZbkK9o9eJs4menLbMaTcCA8zs0Jx/KdEzzK/cfYS7f9KjLuVR5JP0UpOisrcTJ6KdsgB6BPHU/Kac/yARzPh3rtNL3tEjTK9gjXsHWYqoJnZ2TrqZaOfoOaLh3D2I9Mddcv4Mx0MeH5e4+zvd/bx8z0E9mBXVr5RP1IADgSHAC+6+kmfvb+5+FpFVs3Px0vuAnxGF7VwsfssZ5GkrRSBqTTM7h2jk9CbiXPwocQ6rln2S+L2ubGabF29zJfAqkdXSEhkwrf8GN7HIkpyPSHu/iXhYMLC4pnyduGnapDoe3P33xLYf2LwtEAnFcTgt/1Y353cTDd1uY2aLe/Rs9xrwvpxfHdN/JDICcPcriHPWf5qy8vK2IjC+lZlNBi4xs6PNbDF3/z5RPXdfM1s/z8Pm7pcS1ae+bmZfMLMriXLms0RwTnpYXkss/x9oZkPNbALREcdiRGb4v4gsqifN7FvE/cuOwObufmgG7G4lrqdHEg3675cPeSa3Yrukd8pj7F46gvPluWNszrvWzL5OdEZzM/BLotezg4u3upLI2P+6mZ1mkcF/NXH+v6ZPB3m9F9TpaueBGXv/qNqHWJ6obvAz4L3F/F2JaiGHla8hMlT+QNFrCRHlbvn21bZ16Vz/C/6/vfMOu6OqvvC7ktCJobeE3ot06U2kRHr9QURAmkCMdJAOUqQJRKUEkCLSe5MqEEA6KkSQYoEA0ouC0sn6/bHP5JtcbgqQ+9X9Ps99kql35pu5M+ess/faFL8ZQmg4kwiF7VPmrQT8Hdiotm0vinfEV/jeXoQo8EiTv/luRHrOEURH6mKiU/oNopPycO3v/DIR/bImsDXxA3+UDqxIAWxKGP2tUKbHqELVWT6MJ9ec8DNaiTavlDWIiKgDyn1zImGc+n0i5PFsIl2nz3j2O87l+fny146IorsX2KpMz0hE3axUpict/55MNKKnq207sDwDpmj1cU/sv0Gze5jwvhoFnN4wfyhRuWDhhr/bFcBlHX0+E3C+uxDC6Q/K9HKECf0K5Vk4SZl/fjnPeWrbztLRx5+fnvsp9+dB5b7ci7bKkAOBe2irgHkQ0UGcs7btndVzLT/te80apqcnBqBGlrbZEMIf5QjaKoY9TQzu9W7Ybn3CDPdwSvW//LT8+jX63QyoteWqQhvr1pavWeZdS62qD7BuaeM1bR80fk9+8kOtEmqZ7gdcQARAbE0M/N4P3FiWz1ieGzc0uW9XJAagduno82qvT0bifE3cFvI1i8td5KjCdClR3WhkbZT0diJPe+UyQgrRab+deFAOqO23I6pNqWF6Rkkn1kbHXiVC8PtTUr2I0oHbEJ2Az8p6DxDns6VKLrMjLPOrVmYxYVK1pKS5a3/z9YlooO2A3xCNhq2A5R3pAjcC00jaqlybLYj0kF2IkaChtr/lGH3uKG4iPDg2kDSJ7U+r+6gz4Ygum1pRGYvaaM0ckq4iRkB/DlwraSNHxZojCO+hgcA8wEtuG23bGVjc44ksGt/yZPyUazdtbfopIvR0FUmz2n6TMJs8uKxSPQd+Shjh1qNxbrf9HbdFwHUqxhY2W54/oyTNrDG9uc4kngkflu0nLfNvItIs1yvzpy5/tweAlyRN0apzGB9Nom56SdpR0pG12VcTQvpqJfrxEeI3upuDT8t6JxNpKXNUG9p+raUnkCSM1etvAUJgXot4f68NnCtpEULAGUG8KyezfRwxEHO9pAslPU/8jv/QsM96+mjSAqo2i9r8J0YR6TTftP1T26cR13Uj2tqORxAVjJaXtL6k4wkPst/ZPtz2Ubb/XUbrs6/SQmpt6qUkbU10kH9QFu9OtMFfr61/F23FJhaVtKSkawg7hUloswSg7HeMFJmkZ1PaLFU6+7Ml4quy6OhD9IlXtX2Z7SuBh4H1S+Tem8S9NzswWNLOkn5bMkEetH2e7XPK9/Rp9p7pVnS0itSVPtRGpGvztqCYsBJeNuuW+asQo9sLl+lK1d68rHsh0SG4t8zvsIgDxqKOEyLUy4wZOTQvob4Prc17mYh6+Q4RYbEi4bMw/dc8rl6MOUoznFJNhah69QsaRsUJs+jLq+tFdNLublinX0ffSw3H80PCmPlLVeZq4fGIL46sTUYY1R1GGUkr848hIrNEvLz3IV7s1WjbCYQp7jvAjoDmHgAAIABJREFUEWXewuUeOrajz7W7fZr9lol0mkeBhWrzfkCkcm5UplcmIjUWLNOzlH/PBg7q6PP6kn+DqWrHX1VEWYAwR/1nee6eDCxQll1BlCaur9+LECUfo60Swpp0YPWTckxfiNIjPHyOJAYIpqrN/yGRRrVlmR5IpKBsS0TGXVJ+t/O0x/Hnp2d+yj1WRcYOKNON0YHV7+7HwNW1+QMIYebkMr0ZIeZsV6ZnIdophxOp1B1+vt3xU97t6wMDqunq2lbXj7AMeBKYvcybtfy7B5Gi+SzRGTuttt8LiDS5F4HvNdwLTZ93+WnJ9V2Y6Mc8SVT3GUWtbU1Upqyq61bXfO5yzS8lBghOoZO1rfPTuT40RETT1i8+mSgdDpHV0ZcQc44g+hO3lHvsyrLONMRA8F+JiOONG76nxzw3OvwAOuOnWUOd6GRfQ63cITGi8Bci5GthIifvWdpKzj4MXFDfJ5Hq8+2y7t4deU5N1tmMyH1dpkz3JYxPH21Y7zBCiKrKiG9EROi8Utb/0qWvCVX1IKB/k2XzEWk5BxPC2DRl/h3Ar8r/+9TO4T1gqTK9eTmuxb7sMbXjtemUDxy+2FD7efmbL1Km5yTC2acr0+uVB+r7RJQNRJrV3qVRcE9tXxlWOxHvl8Z51MKZCfHhNuDw2rypiNSDU2q/p+HEKPa95eW4ZEef61f4O8xBiDQH1+b1JgSL04lGxCDC+Pz3Zfky5f5culq//DtjeR4e0+y51KpzGt+zuhzvKYQYU6WaLE6k5B5QW28mIn/8V7Xf8mGEsfsNNIQx5yc/rfyU39g+telFCV+0fmV6CiL6ZhARuXkVEc3xG8IPAWBmYtDg3nF8T75bJv6124Ro225bmzc10Lc2vU55z9RLSu9KDBZsXKavLO+Wtcv0N6pnWH5afg2/UCa8tuxnlJTist7PiIq6m5V5+xODtbM22Xbq+ru4vG87ZZs2P53jQwyqnQP8tEzPQXgLfre2zi6lLbpkmR5GmNsvUltnxo4+l47+ZIhiE9zcBOk5ogGxfG3e3sDvHCFfTxNhh88R+bwQD8ItJM1W7dP2J7bvtr2V7VNbdxZBLWStMotaRtLcDessIelJorOyKvAHSUOIlIsbgL6Stqpt8gLxd9i07PsGYCfbs9k+yBNQ+rqJGefiwNvAa/XwN0mHEqPhswELEi+Yw8viK4FBkqZxW9rNXMRLZUiZvoN4CDw5vmPqKFyeRp2FkiJ1L3C1pFVrx3cq0bheRVGRAOApYH9JjxNVJC623ZcY0cFRNv5U4loNs0ebGH6uJqbIydiphSR/4X6p5knaVtKjwPmSTi6L7yPEte9Imq2s/z/iBTkQWKqsN4iIkLqFEDQeb+HpfG1q5zxJbd6LhBfTYpIWKrNXI4SsoxxpVZcSqWLLK8oR/5F4ThxY1q+e1W/aPt/2obar0pUto/wu7Ej7mkvSFrX0LiRNKmkoEVEkYDBwuaT1bI8gzNzrBoFvEEL8QKLqHURk3Hdtb2T72VafU5LU7uEjgN0lzVdSL+4jBn1ukLSI21I0f02IyW8Qgy/bA5NLmsf264T4fI2itGz9ezJlo3XcQLzrV5Q0c5l3BxFJU/EgEc3xXUnTlHnbEILb9SUV28Sg2pwAtt+z/TxE6kPLz6KHoJqBfWlr18uES9KAhk22IUS66r16LtGX2bLMO4kQ3L7XsB22/1vadb2rtl1na9MmnQNFcZyTief7h8BDkvqWdttVwCFlvb6EcPwn249LmpcYnP8HpdogRBut3M89NmU2O1BNkDRI0o2SNq3m2b6WcGFfXVLlH9CHiKypGuDvEMa6cxdh4XpCXTysfc+gjVpHZztJI8rxrd/QAPoBcL3tRWzvSHRmNicMAh8kGk2H1MSVWYioCkuarnzP21/2uEpnZcYy62bbZ5cGWFVedCYiamkH23sR1Zt+QuRB9rZ9NvH3PUfSqiWffg7gWMK3oldpJLzxZY4t4RuEF8oKhMfNVgpfjX8RI/ubEaP8o4jKHzsTobZz2f6VpKmA/STNV+2wiJaXlv+7/DtqLIJp0oSaEDtQ0vmS1qgvl7QHkc72CyLEeRtJw4jQ05uJKLZBtU0+IUS5jSVNZftV2yfbPs72R60/o6+HpHkl3QWcJ+mbtUUXEWJuVZb2nfLvJLV1niWeYauX6Z8TgvtcHdUALQ3hZSXdThj5DSJGrCoWI1JVl7C9NxHF8Aiwl8Lz6CpgEknHQlSGIQStuymeP2UQodNf26TrU3Uia4M6xxHv5yHAn21PR9zjHxLiIkSa3xTAJrYH23693McXEPc+ti+xPdRtJasp8/NdMhGpD6aVv+2txHN15TL7DGBdSVOXdd4nnqmTUjr/hIfRNpIuJaLWHwS2tv3rxu9z+t9NFCStTbTZl4DRbW1LmlLSiUTq2oWSTpW0cBE/H6NUky19mX8Q782VFKWaISwglh2b2JbiTVIxDkF2SWLAfkXbe9i+pTw3IJ79K5aBtfcJD6blFRWqniCM0Be3/dv6DitxsjVn0vlJEacBSVMSo5nrE6OcQ9RWEvxaYBHgW2X6IWAZhcle9fBaiAgBrhoUWwFntcvBN0HStJIuJ3JXjyeO/eaqAVRGsb9DpMVUXEw0/tcuL/ITiY79fZLeJ36Eg23vV4Srr3Jck5Xjel3SouUlM0/pdO5QVqvy3YdDlNgm0iLeoE0Y245QaH9FdHzeItJGjsxG3VfDEbV0BZEidx0h0lyoMOM+hvgNrOEw8L6eCI+eXdKckg4kHrbzEddlND1ZLZ8YSNpE0jPAacR9Pktt2VSEK/9Jti8qAvIPiBLSlSfO3cCBktaUNJhIYfwZcIkjMqerMT+RkvF/wMWS/g9Gmy6+QJj6zkb4wIwgPGIqPiEEkmfKNncQIf4vtNfBNyJpECFA/YHwHtuVGHmqmJ2IBq0EmbeI9JPeRGrrCOJZva2kf5R9XWz7h+X8kqTdqDrlkr4nabUyfQrhkTKyrPY04YfwXUnz2r6PCLM/WdJFkh4m2iM32b64vv+6yJBMfGoDgN+RdC0hCiwEfLu8b66nrTJoxaOEX+F6pSO3L3HNRwLL2j7V9ltVdEg7nk5PYgThV7OCapGcRJTDwoQNxD5ElObQ0k5+CliiaouX9UcR78ntyvQetgel2JaMj9qzf07VIqWJgbUBtv+hBsNy238lIv6qAhv7EvfsucAMjqjoT6qIr/Y5k85PjxNxxnXxS+TGB4RQcB1xQ61KVD/oTzQm3iXSEqYk0g6mAM6UNH2JHFkGuNVRHQnb97hj0xKWBmYAVisjWO/b/mdt+YzEC7aKflHpHIwizGyxPZL48f0SWMf2trb/PiFfrrGny/QlOiX/JSJsIKI6ZiPU175EA+EVwnOnUnf/R6Rd7VSO7V7bOxFRQzPaPiZHAyYKVxINtocJcWBaQrScghDL1lNUNjqDyFVdnTD2XgP4fuk4jhEB1ZPV8q+LojrL/oQZ9Hy29yeEtoo5CC+i0VXtbN8K/JvwHBhFjJxeQnT0dyNMwo9yVC7qVExgI/8uoiNxMXFPHirplBJlOIxIv1zV9t+ISKTBJSJxZuKZ8xLR6QDA9p0tOJXxUk51CsJT6rxyTT6y/ZbHrAI2IyE61aOOniIa5u8A2D6fSJ/a2Xb/cg8kSbtR/W4l7SrpX0T07Fxl8QlESs37MLqx/yjhY3VkWWd/YiDnFsLQeDY3ST3P9/zEpdnzVtK6hJfY/USk3/PE86WqAHo6sGuto/Y+0XZcljBU/9j2L20faPsFlao0VXRIe5xXT6F0bvs4Ug6vADYmBtOqqm+7EG2zZ4l+zFzEQMfcxAD1e8CNkjaWdA4hBF0E9JfU3xE5rxyMS8ZHCX54nvAzu0vScmXRJMBTkuYo/YEqk6WqnnoKIejPb/td23fZPt32R2qrkpwRXzV6nIhTv/hNBIZq2e8JP5h3iVGj54iSs5sQnYa5gW87SlPvR7ywriUa1C/STpE3E6hGfof44UwhaQZF2fANJe0gaYDtV4jzW0HS8rW/T2/gtWra9ou2r3CkV00wbksBWUpSv9qiPkR0zwlExM985eVzM/FyWb1E3lwLHCRp0tLgG0WMTvevRt7L96S/w0SkdGhfIUSZ94hSr/cSEU9zEakdq5R1L7W9NRECP9D2veVl3+OeLy1kN+BV10JJS6PqG2XyJUIYXbBETFVMRikfbftt23sCA20vXka9OyX1Rr5q5SgrSkfgEyJ8f2YiemVHIlz3IcKE8SWikTqT7aHECP/WRIdxbWA/RzRZSxmfIFXOU8Sz+jVFROIcZQT8aElbK1IWbiVGuTeqXeMpiXN9s7a/v9q+u2UnlCSFZr9N25a0BBHRvI3tJYCLFCnQ/yaKOuyltjScfxPvlW0kTe9Igf677YttX1G+J/1SWkC9U97QNq6u6UbAX2z/vDxTNiEE47XLM+h8Iu3hZkn7EIOfdxECzqUN39PLkUKdHbAWUDq3n0lamKjkMw/Rru9NDL49Tlgp3EiYFj8LzGb7edt/JiJVryS8PachUuJGEkLQ/8p3OAfjEhj97P+CoCdpQyIDZVfiHnoHOE7SqoQP2qzABgBuS+0eXAaF7yOi/P/WsE/lfdecHtXJKi+SuSUdJmkSN6TblMaHiphwP/HwWtD25kSp3Z8So6XTEOau09i+lzD53ROYw/aPbP+XdmBcglRt+kIiouJ2YtTkSaIzczBwp6SBhPr5P8JgcEdJNxFeNOd93WMswtEjRBnJn9YaDK8RP+5RZdm+ZZNbgP8QkR69CX8bAcMl/ZYYiX6YiC64gqSVXEykdWxQRtT2INJvpiWiAQZWDXEA2+9UjcLyss90tonHm8DSkjaVtI6kwxWpBhdI2rk8cy4hXo47w+jonckIo9DROCLtOj2SjpW0WdXwV4TwNz7rbiLE9nWJzsaahHhzMhGhMj9tvjcHE15fq9heszRcW84ECFK9HRGglxG+IRcSlRCvIXxAhhHX9h3C72hjwnT8DEKQugWYoMjIJJkYlPu4V+232SiyHECIzsPLAMwo2gbJDiV8VZarrT+cSBOdqv77qP7vTOFoCVWnvFzPH0v6kaSla8/bvsBzaougeZ9Iy12PKBjxAbAF4VmxOXCt7YPLAGfj92R74CsyrkGA2jrzKgpS3EFkBMxEGBFXg6ezEtG4DwCzlL7Ku4piCAOKePoTYD3bW5ZrOwfRZ2iXPk3SNSjPglHl2TG9pKXVFo23B+F5drvtN4kCDC8RxW/uJ1LAj5J0mqQTJL1OZIwAkV3R+H0p/I6dHiXilBthMkKMWUbS3pIulzR7k9VvIlIRtlSEKJ5JhCNOSYg22xMdBGx/aPvPHjP0vaVMgCA1qjSyniEa/ccR5mWb256lzBtJuNK/Roz0H0s0rkYQJbpHfN3jLB3G5wnhZWPgWEU00OTA34iomjsJQWAGR+rWQ4R4sFbZfiBhPPousIXtk8p6SQuxfSMxyray2qoa3U2o6zsAQxoFyxypaRknEJFRBxBpB+sTz6hPiN/UDsBQIlpjP0l3EkL0n4hGW5eh1mCdH9hX0uaS7gZ+DKMNsSvB/T/EyO9shOE2RA7/WUSjdS1gVUmTl3vzQ9uvtusJMV5BqmqgHEJc19OAI233s70WIXDPT4xQXUt0lq4HPibSZI/IDlIysamiJ5otK/fxqNJ4vwT4ZRGYpyir/I+Sog18Wgk+RdD5JxFBd1RpB1SV4PZwRPy69j3ZeJ+INF5TRQrOQUQbcBAxCHCfpNUdPmn/JXzH6obvLxKpqpso/CCfAA60vbLtYWW/Papv0So0joqUTdgIeN/2ANv7EtEQKxDt6CeI39ztRLWwTxUee48RlRvrIulykraR9BBhW3BmiqhJXUgsbZh5JV1NZHJsAFT9ujeIvnO17r+ILJVpJU1t+3iijfYiITRubHvzjmiXdQfU3d+R5SFYlTTuXf59gfCJeQ7Y2/Y9Y9l2fyLE/USHWSalMzsIGGn7qnY5ibGgKKH7V2AlYsR2Bb5EioCke4jR6yHjXflroAivG0zkvvcHpra9laT7iMiOJ4gw3DtsH1LO6xRiJG+nVh5bMm4kfY+oVnaca+HRteXKhnb7UEY6pgX6OqpHVPP/Shh/HlCm5yE6/cPdUMGls1IaCL3rjUWF+fIvCA+s4x0pUWNsUxoTsxB+XW8Rz/PKtH0FIhrnko76O9SO8Qri2XcKUZ3nttKY+cK6TfaxCpGCspbtp9vjuJOeSy36pYoemxWYpn7vSZqBMLnflIggE1Et7QTbw8pvd0ciraYqId0bWNP2HZKWJdpRP2n4zfdKQfLrUa6f6n/HJtd0TiJC+y/E4N2FZYAGRSWpWYiU04WJyMA/ECLzp2X9RYmIj2H1gZyqjd3qc+zuNL4LJK1PvNPPc/HbbFh/SiK17VXbe5WB3U8l/Y4YJPg/YgB6MDEoCjAd4Tl1TsO+VieiKR6xfQJJj6bZb1rS/ESk/r1EMY3Xa/3rc4lgicOLYI+kwwmxZpnG/ZflX3hmJRNGt1bL1Rbu+7mkaYBZFbna/yJuso2aCTi1UYQbiZdWVS4R2684yvC2u4CjWg5i+cE8Q6iZvwe2Bc4Yl4Cjmku4ohzxlETIfkspER2fEWlovwAmk/QrYiT5mw5fniuBzcqI+TNEo+F+pYlaR3MVEcnxhc5jCjjti+1Pbb/RIOD0JdIPn6it90/bt3UlAadEyVQVDarS4NMQ6ZMPVQKOxqxmUEXjvEY0JpYiwvyr5Q85Khq069+hjHZX5ZWr38dwIn3kdOD6RgGnYd3RHiCKMvLHEd5g/2zcJkkmNuW3WJW7v42I5rtA0jlqi1ruS0TbzG97T0eq7SPAIEnzEW2n14m0v/XLb/pOwt9uOtuP2d63cYQ/G/FfnSrKply+UYoKoFWkU3VNpyttvz8TAs3HwFG275a0iKSLiVH1VYlO11+Ao4no89uJEXYRXkc/9xcjcVPAmQjUxLbdyqDz8UTUwkJjWf8DIm1KiopU1XW4iriWazmM8o8iolN3sb1QJeColubrKMayeQo4CbT9piWtVsREgDkJr9Vji4CzFG0FF84lROBTFKlW3yJS2n/ZbP/1Z1ZLT6Sb0q1FnPIim09RyvrPROrQU7ZXJvI8D6tecg2hYqPKv88QqUX/Kkp3h/FVBana9rMBx0s6SdJrRDjbQS4RRu3A5YQB9EzECN2UhO9OlRY1nGgYVlWnfmb7vGwUdCy2P7G9m5tUWEsBp/0pDfOlJH1D0hDiufYS0cDukpTOxSSSjlHkRx8gaTnbPyNGDTeshJ1xvOhvBR6kg4WOrypINexjJ+B0SX8kvHCutT2kq4hySddGURb2ZsL75F7CG/Agwsh+IIAjumao7fcURRJGEBUs+wFbl8Gk7Yl21m6EeHm7w4vqndp3des2aHtSE2/mkXQ6MVJ+gCJSEUnfJ1Jw1wGWsT3UYXb/vKTtCeHtfdt9iWu/raS+tq8p2xxMeBHu7SwTPlFp9juQ9CMibX03298EjnCTSpK1gc7ziRSqZWrvybkJU+ONJU0HIfjYfqq+rdNwOhkLkgZJepbwVpy/BAN8SKRa/kaRkncTcKKkG20/QFQYnJkQEW8gDI0varb/FG++Ht0mnWosIV/LEea8dxNpO28DfWx/IGlzovzZ0sDfGh9gGjOH+5P2OYtxU0a4jiVGdIcRoZCfSfozMQq2p6MU29jC8n9C+ERc5gbjuXY49kmIH/qzRFjuJ0QK2AiHIe6UwEK2/9Sex5VMGMow906BpAGE983CRNWwY2z/rmOPasIpjcYxGoxl5PDnhA/W0bYfKs+Lz4rA8yDhnbVjZ3kWj4ty7EcQHmqPEiPdj0jqT0ROfttNzPuq57ai5OsOwOOlA5Uk7YakJYn05hNtn1Gb/xCRtnlM7V7dk4gCHmr7Ikm/J8rGDrb9ZNluWtvv1vaT75IWUN4NPyeiES8gopvnAe6y/ZKkOQgvrcmA5Wz/t0T89SYKdzxj+7gy73dEOtW3GwcHyzM8R84nMgqftP62n5M0PTEo8SNH+uEERT1LuoYQXa8iBJwpifvgUaePZDIWFCnbH9t+tGH+ioQf4y9dyz4pz4ABhIfqB7avK0LwwcD2pQ03OTDAdhZdaCFdSsRp9vJvJt7Ulh0MrGx7/TK9AFHh4+3SABkJXGr7QEnzEuX2OrzsbgsFqT7uQIMySbsTlQxOsn1rRx1HknRlJK0MvGX72Y4+lrHR+KyuhWpXYeJTu4TiS+pHeDPsbPv2EjU4N/CC7X9JWpsQgFcixJzNgRsclQ86jJ4gSCU9E0nnEJGx+9h+RdJKhDBwNiEK/Kl09h8BTrd9rqSZyzr9CDPU3zbsM/1SWoiko4kO/BDbbzcsq9qAxxODgAfYfqwsm5kQ7V4ixJs9iPSdzxxG6slEpJkgU94bVZXBnxBRDiOAK4gIhn5EGtTiRJGQyx1VdKvtKz+SWQmj4g2IdMcjHMaySdIUSWsRkdwvAVvVB/gl7QocZntAGWjfjChU82yJxhvdzpN0HDAXsG1jP7O8Kz7PaK+JT5cQcZp0CCZ3W335at62RGWPPwM32/6LpHWJB+MpRBjwJMCrwD22j5D0A6LyxyREg2Vvt1PZ6p4iSNUpnbV7CSHqILdjNa8kSdqX8nvHUUGqmrcsUV1rKuJZcK3txyVdR5QzfZlIy3gAWAxYsQg51xF51ksSHcUD3MTgsUXn0e0FqSSpozYvpvuJNOjFCQPjaYm0qsNtny/pVmB6oqLkRoTn3RW2X+6I4+6pKHwn7gfWt31Hbf6cRDXWd2zvU6KshhHR2ENr621KGFMvBZxr+7R2PYEeTDW4qiiksg4h/t8r6YeEj8iDRPXFTwhhZ0Pi/bid7TfGss/RfYnG91WS1JG0BdFH/icRuTfE9g1l2exEVbM/ElE3Iwmj7I9tf1vhkbMB4Rv7NyIb5Aspf0nr6NQiTpPG8wZEI+E026eWecsRo0OTApcSN9QHwK4lLHEgcWO+R5hDHkaEKPYt2y9PhHxd3UHn1OUFqS+DpI2Jilhp0pkk3YCxjCzORozYrF6N7JQX/gnEyOJfgE0Iw7sliOf3UoSQcx3xHHuSCOM9TpHPvxARadjugkd3EaSSZEKR9BtgY6JgwsFl3kzAWcAMtlctIsGPgBmJlKonatun8X07ofBP2ZWo/vVWiRLclhBs/kikrk9n+9+SziI8uo5y8UYp+xijLZrXrzUoqkduC9xYRbQVEWdWog9zD1Hl7YPy+xpADNY+U7Zftawzr0vlt4b9V6mOVXnyTHtLvkDtPlmaEArnJvqXyxFVjq8p6w0g2jNv2P57EX2GEf3qxYB1iTTbR5t9T9Ja+nT0AYyLWphWlWvXh2jU/6K22jxEmcNhZd3rCDPIwcBejWk75cE2TKUEn+2HifDElqI2Y+LqnEYLUsDYBKnNgIGSdrV9m6T1yvkeT5sgtQ8RMnmBpKdpR0Hqq2D7+o4+hiRJJh61iJTRnYCSgvE6IdBU+dFbEqVsTyzrf0oYmW9p+0LC3JyybGPgKUK4xmGG+kCrz2V8ghQRcTA2QeoKhdn89rQJUt+nTZDajohu2JEOFKSSZAK5nChrfH81w/YbkqYGbiu/lZGSDqy1a3rRVgwpBYD24wPieVNVo/pc0j3AN2x/IulhIg1/MGF4fB6RdjNaxKme3VUUR16/ljEDUWTlbUlPVKkntl+V9ATxnrmFMMEfSVvxj4pZiGqUTa9Pdd1SvEkqmrVratOjgNcIEWcwcCgwVFFF8Ne2X5b0RnmOzEm0aS5wmNo/6DAyriK+ejlTZtuVTl0ZQNKMku4ljDwPtj1vg4ADoSCeK2lqSScRqToAm0vqL6mPosTlWaVTsRLwG9uftt+ZjClIKZy+f0EIUqfWVqsEqUVsHw3sTDzwB5d93Gr7DNsX2f4fcf2GqZQOt/1wZxZwkiTp+qihkoakaSTdRDyH5y7zZiBGC78FozsIawH3SNpS0j+IijU7FgEHSQtLOlrSX8uyK9ykKlorqQtStXmvEOWSl6gtqwSp4x3G0lcSfhRb2v6P7eG2LywRNqvQIEjZfiAFnKQzY/tm4E1gLUmTSlpB0nAi6uamemdRQTVQlZ3/9mc4Mci5Xm3ei27z3bqLSHfDYap+IvHM+gLZCWstjnST4UTp7+kAJC0j6WpiUGNeYA2FjwilbzNt+Q3uRwziXmT7hY44/qTrUX8mF7GlTm/CAPu9Mlh2JJE2e7qkbUoU8jqSHgEeJ7xzjqrvV21lwvPZ0c50ahGnNHLfJnKxxyihW9KgKEr1pGWdRQmRZjvipty5qNxTEC+4TWyv4lI1oT3pToJUkiQ9lyYjfP2IqnfzEKM42H4L+ByYVFK/0nB4mHjGDQEOsT1/iSDcpIg+LxJmjEfbHmD77FafS3cWpJJkInAFkVL1EnANcJvtJRvv5dKAz5H/jmMk8Fvg8JJuM1qMkbQYITAfXnXgbJ9t+7WOOtiES4jIqZ8UYfRm4DnbUxOlnFckUlUgfn+/JjzUNiSq/5zc7kecdFkk7aXwXGrG04SQs5qkM8v01UTK1GlEBN8/gDOAmW3/uEThjBaD8tnfcXRqEadwLuEdsBpAUQb/AtyicNWH8IgZAGxh+zni4fcssIOkKWxfZXsn2w92wPED3UuQSpKk5yJp3fKyB0Y/tz4m0i9mlXR4WfQwsIbDR6ZPWf4BsIPty8q+jgIOAZaw/b8S2XJpe51LdxKkkqQFXEFEkO1jezbbx8HoymxJJ6E8x/YD3gAukXSppD0l3Q/cCTwG/HY8I/JJO2F7OPAcEW3/gO2ZbR9UFt9IROCvUabvB24AvmN7ddt/gLx+yfiRtKkiNX0HwqOvmcH1bMB/gGMJMWdt2z+wvSdwOHCH7adtX1BSqno3S89KOoZObWxcIel6ogLCXMBbwPFVJ6AsX5TwJTiaCF2fFtgTeNz2++1+wGNB4YNzCHCM7d9J2gY4EOgPLGz7dUW58MOAlRz6YEBKAAAOtElEQVTGZtsCuxM/tIWdFZ2SJOlAJG1JCM2DiZSiDyWdSjQAziQ8F44gfGTuB1aw/XTZ9iQijPx1ourN08BPbP+x3U8kjmddQhDfvTbvAaLzug7hS3CUpN2JinpzlPTVTQlficVdTNqLIPVd4EDbd7b3uSRJq1ExYe3o40iaI2lGwp9rXiL65sGM2uicKDwuDyUMpm8t6VOjSnri5WW1H7tWgapEjirTVpKKsd0TklYgfAQfJNK8XxnL9pMRkXxH2z69zBtrpeSkc9FVRJzNCPPfC2wfMZZ1vke4ZL8CHGn743Y8xAmmuwhSSZL0XCTtRUShHOsoNbwpMAjYGtiNqHAwElgAGG77rNq20xFRhk+5SXWN9qQ7CVJJ0iqyUd+1KZFT6VfUySj9gVcJIecVlYIriopAb9b7MRn9kIwLReXAOYBnbb+vMKA/G1jS9iKSJnWbR1a1TZWN8yxwme3DGu8zNVRUTjoXXSGdCiK88FlgMknTVjMVJsGXSJrT9iW2t7d9UGcVcAq/AWYHzi255ZfVFzpKPn6fEHkeIcrS3pcCTpIknQXbQ4HbgB9LWoZIFf2YMGq8iDBuHAIsCIwO+y4Ngnds39TRAg6A7SuBfYH9CQEKolz4LMQ759fA5oSR8c2UtN6y7f6Ekeg5wCq210oBJ+mOpIDTNanS3pzVpjorlxMDGqsDuPhb2n7Z9sd1z7a8fkkzit/qJcQg0onAnZI2sP1fYhBqIUlzlFSoMfr8RZyZFjiLsC75wn2WAk7npkuIOOXBdh3hjbO0pF0kvUCEIt5ePBm6Ct1JkEqSpOdyIhE1+GvgEyJycJTt92xfAPyeeGbPVW3QGRsE3UWQSpIkqZPiW6fnKiLl5elmCzvj+zLpdGxLRA7PTaR5Pwb8VNK3HJUzH6FUk6LWfqmw/bbtnzurnXVJuoSIU7iI8IW5Dfgh8CMXM8kOPaovSTcTpJIk6aGUZ9XuhBnwxsBUwJq1VQ4ANrZ9YAcc3pelWwhSSZIkSdfA9ie2d3NWLky+AsVH6QDg1tJW+Q9wAlFNarey2lBgS0n9bH8+NkPsNMrumnQZEcf2e0TI+9K2K4Wxq9ItBKkkSXouJRLlA2APwgNnBuCb1XLbI23f2FHH92XoZoJUkiRJ0kVoTHNJejYK+kzAqn2BPxE+q8DotszTRLbHZMQA1PvA3mV507S8TNfrmkzITdJpsH1bRx/DxMD2e5L2B161PaKjjydJkuTLUkWi2L6pjOK8D1zZsUf11agEKUl7EI2dSpC6CkY3jDJKMkmSJJmoZFRnUqcIKp8BSFoAGDkWa42PgBeB5SRNY/vfZf6CwH+Kr9KnwGq2n2uPY0/aly5RnSpJkiTpvHSnyhmSNgR2Ag61/WRHH0+SJEmSJD0DSZMSVTF3AZ4iPG/2sf1YbR3ZtqQNgH2AT4G9gHWA7YF9bd/dsN9u005LghRxkiRJkqSQDZ0kSZIkSVpNsxLeknYCNgMOs/0nSUOJ6JrjbN9b+ddU7RRJiwFHAjMT5sVH2L6zHU8j6SC6VDpVkiRJkrSSFHCSJEmSJGkFknoThRNse5SkeYHPbb9QfGz2BX5SBJyZgXmB5SneN/U2Shl0ehLYQtK0tt9t/zNKOoo000qSJEmSJEmSJEmSFmL785IKtZKklYgy4IdKmgSYFXgemFPS9YRJ8RvA/LavLalW9X259v93iyly7/Y7m6QjSREnSZIkSZIkSZIkSVqIpJkkXQfcCKwBvAusC8xNGBVPD/wM+Cswg+2dbL8t6fvAAuPad4nu+byVx590HlLESZIkSZIkSZIkSZIvSeVTU59uLBNeKyW/JDCAEGh+Rgg5ALsWf5zfAA8A/yrbbSzpEcKw+KOWnUTS5Uhj4yRJkiRJkiRJkiT5EpQ0qN62P2pWGEHSysAfbX9Upk8DZgP+r2z3saRdieibxYHXge8SVac+AeYETrN9WrudVNIlyEicJEmSJEmSJEmSJJlAJC0E3ATsWWb1KvMnkXSYpDeAXwB3SRpS1vkHIdaMAj4r8+4DpgW2JLKibiTKhe9ie6FKwEm/m6ROijhJkiRJkiRJkiRJMg4kzSJp9zL5b+BvwKqSJq/50WxCpEmtZHtZ4HjgGElrARcR6VTfo60fvjjwDLAzMDWA7U9tv1i+s3eZl343yWhSxEmSJEmSJEmSJEmScbMScLqk2Wy/BgwHvkFE0SDpG8Ag4FLbf5c0P7BmWWc6228CRwGHA+dLOgc4ENgRWAhYtOxntM9OijdJM1LESZIkSZIkSZIkSZJxczdhPPzTMv0wUUlqCwDb7wHLAv0lXVmWTw3MbPuKss0JwA6E/83nhD/OI0Sq1SJlP2lam4yTFHGSJEmSJEmSJEmSpIFaZSlsvwsMA7aVNJXtl4D7gRkkbV5WuwQ4ghB7+tve2fabkg6QtIztz23fb3tf27vZfo4Qgf4N/K5dTy7psqSIkyRJkiRJkiRJkiSFmhfNqIZFdwDPEylRAA8Cf6dE4wCnAx8SUTZzSdpI0qPA5tT63pL6S/pRKSF+GnA+8FpjyfIkaUaWGE+SJEmSJEmSJEmSBiTtBfQBHrf9+zJvD+Bo2/3K9A+JFKnDbd8haSNgXaJEeH/gHNtnNOx3KmAwMMr2ye12Qkm3IEWcJEmSJEmSJEmSpEdSUqZs25JU/l2FqCb1AvAYMIQwJf4FMAXwBDDU9kmSFgMOAj62vWNtv7MUA+RquncaFScTg0ynSpIkSZIkSZIkSXoUknpJ6mV7VBFupij/9iZKfp9pew3b+wG7A2sB29h+Czgb2BvA9pPAk8AypSIVZf5r5XuyTHgyUUkRJ0mSJEmSJEmSJOlRFPFmlKTFJV0BnCppxrJ4CcLbpuI6ohLVikWUuRCYStKQsvwyYH3bf2vyPSneJBOVFHGSJEmSJEmSJEmSHkWJxDkUuJVImzqHMCSeAfgXMFVZT6Uy1RTAlEWUeZmIxpkOwPbztl9OY+KkPejT0QeQJEmSJEmSJEmSJO3MvMCGwDolJWo0kp4Dlpe0pu27qtlENA62P5V0gBsMZhunk6QVZCROkiRJkiRJkiRJ0m2YwIiY+YB+wDtlm97F5BhgGPAqcK2kQyQ9BiwDXFJtXBkhZ/RN0t6kiJMkSZIkSZIkSZJ0eYqm0nsCI2JmA14DZirTvYtHzvTA34EfAbsSQs9Ztpdo9LxxYSKeQpKMlywxniRJkiRJkiRJknQbJPUDdgRGAE/bfqW2rCojPiMwnIiuOatUnULSIcAfbN/TZL9ZJjzpcDISJ0mSJEmSJEmSJOnSlCicPpL2Bf4JrAfsC9wmacFqvSLg9LL9JnAysBFwnaTTJb0NfKtsX993r7JtCjhJh5OROEmSJEmSJEmSJEmXYWwRMZLmBc4DBtt+qsx7CHgJ2Nv2y2WeqjQoSfMAKwKLApfZHtFOp5EkX4msTpUkSZIkSZIkSZJ0GSoBR9LcwEjbo8qi9YDXbD8laRVgT2Ax4LeE/021vWv//ye1yJta1E21zyTpVGQ6VZIkSZIkSZIkSdJpkdSnYfrbkkYAfwDOk7RqWdQPWFnScOBK4DlgOtunA9ONr5JUSbMalQJO0plJESdJkiRJkiRJkiTpdNSiYj4r04tKmhRYDTie8LPpBwwtm5wHzACMsD2r7UNsfyJpb8LouPe4vi/Fm6QrkJ44SZIkSZIkSZIkSadF0veBYUTa0+TA/bZ3KMsWAx4EBtm+SdKvgG8CjwAvAnsB/wX2t31HRxx/kkxMUsRJkiRJkiRJkiRJOpQqlak2LSLSZkvgDSI96lXgPuBOYE/b/5E0OXAGsITtZSRNAaxCmBUvCFxt+5r2PZskaR2ZTpUkSZIkSZIkSZJ0CJJ6NQo4MNp8+JvAZsAHth+0/QJwJLAssFBZ7yPgLGAJSavZ/rBE3Bxje5tKwJE0zlSqJOkqpIiTJEmSJEmSJEmStAwFTfuelZGwpKUknS5pZ0nfKouvBh4FZqptch7Rj11b0lRl3lPAzcDy9f2W7+5dpr9QkjxJuiIp4iRJkiRJkiRJkiQtQZIcjJI0h6QdJE1SLZM0iaSjgFsAAwOBGyVtaPvpMn8RSQvA6Aid84GtgEXKvP8Cm9s+qfH7U7xJuhsp4iRJkiRJkiRJkiQtwbYlLSnpVuAhYAvgW9UyYE5gQ2Bl20NsbwFcD+wiaR4iwuYDYFBtt2cCn1Hrz9r+tKRmjbOMeJJ0dVLESZIkSZIkSZIkSVqCpPWAS4CHgfmICJoRtVUWAPoAdfHlN0Tp8CWAvwIPABtJGgAReWN7KdsP17+rpGZl5Z6kW9Onow8gSZIkSZIkSZIk6X5ImhT4HnCZ7aMallVmxlMAHwGzAH8v6VcPSFoY6GP7M0mPAP2BqRv20TvTpZKeRoo4SZIkSZIkSZIkyUTH9ieSVgCeljQ70JuIvPkOIdhcB1wDHEhE2rxke6SkuYGngX+UXd1m++Ym+08BJ+lxKKPNkiRJkiRJkiRJklYg6YfAqUQKVS9gQeARokz4n4BtgMWBw4DJibSrrYGLgf1sf1bbV0beJD2eFHGSJEmSJEmSJEmSliFpMWAeYJTtm8q87wJnA4Nt31giddYiInUusf2XDjvgJOnEpIiTJEmSJEmSJEmStISqxHiT+fMShsWb2n6gyfJeEGbFrT/KJOk6ZHWqJEmSJEmSJEmSpCXUBRxJU5V/VwHOB25kzEpV1Xq9SqWpFHCSpIGMxEmSJEmSJEmSJElaiqSBRKWqBYHZgVNtn9SxR5UkXY8UcZIkSZIkSZIkSZKWImlaYDfgWdvX1Ob3yoibJJlwUsRJkiRJkiRJkiRJ2hVJfeqVp5IkmTDSEydJkiRJkiRJkiRpF2qGxSngJMlXICNxkiRJkiRJkiRJkiRJugAZiZMkSZIkSZIkSZIkSdIFSBEnSZIkSZIkSZIkSZKkC5AiTpIkSZIkSZIkSZIkSRcgRZwkSZIkSZIkSZIkSZIuQIo4SZIkSZIkSZIkSZIkXYAUcZIkSZIkSZIkSZIkSboAKeIkSZIkSZIkSZIkSZJ0Af4fs887uA0zlo4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rc('figure', figsize=(16, 12))\n",
    "\n",
    "plt.subplot(224)\n",
    "train.groupby('education').separate_bed.mean().plot.bar(ec='black', \n",
    "                                                        fc='orange', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', color='grey', \n",
    "           label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=25)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('')\n",
    "plt.title('Education')\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "plt.subplot(223)\n",
    "train.groupby('location').separate_bed.mean().plot.bar(ec='maroon', \n",
    "                                                       fc='pink', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', \n",
    "           color='grey', label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=25)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('% Separate')\n",
    "plt.title('Census Region')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(221)\n",
    "train.groupby('rel_length').separate_bed.mean().plot.bar(ec='black', \n",
    "                                                         fc='dodgerblue', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', color='grey', \n",
    "           label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=0)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('% Separate')\n",
    "plt.title('Rate of Separate Beds by Relationship Length')\n",
    "\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "plt.subplot(222)\n",
    "train.groupby('age').separate_bed.mean().plot.bar(ec='black', \n",
    "                                                  fc='green', width=.9)\n",
    "\n",
    "# plt.hlines(height, starts, ends) (is like y, xmin, xmax)\n",
    "plt.hlines(train.separate_bed.mean(), *plt.xlim(), ls='--', color='grey', \n",
    "           label='average separate bed rate')\n",
    "\n",
    "plt.xticks(rotation=0)\n",
    "plt.xlabel('')\n",
    "plt.ylabel('')\n",
    "plt.title('Age Group')\n",
    "\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}