diff --git a/Assignment 1/200393_Prem.ipynb b/Assignment 1/200393_Prem.ipynb
new file mode 100644
index 0000000..721bd6f
--- /dev/null
+++ b/Assignment 1/200393_Prem.ipynb	
@@ -0,0 +1,1699 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "49e2b796",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#import numpy, pandas, matplotlib, seaborn, \n",
+    "import numpy as np \n",
+    "import pandas as pd \n",
+    "import matplotlib as mpl\n",
+    "import matplotlib.pyplot as plt\n",
+    "import seaborn as sns\n",
+    "from math import sqrt\n",
+    "%matplotlib inline"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "20de3a29",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Load the dataset\n",
+    "df = pd.read_csv('Dataset.csv')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "2e61e7de",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(8950, 18)"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#Look at the dataset, its columns, range of those columns, \n",
+    "df.shape\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "5b658e7a",
+   "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>CUST_ID</th>\n",
+       "      <th>BALANCE</th>\n",
+       "      <th>BALANCE_FREQUENCY</th>\n",
+       "      <th>PURCHASES</th>\n",
+       "      <th>ONEOFF_PURCHASES</th>\n",
+       "      <th>INSTALLMENTS_PURCHASES</th>\n",
+       "      <th>CASH_ADVANCE</th>\n",
+       "      <th>PURCHASES_FREQUENCY</th>\n",
+       "      <th>ONEOFF_PURCHASES_FREQUENCY</th>\n",
+       "      <th>PURCHASES_INSTALLMENTS_FREQUENCY</th>\n",
+       "      <th>CASH_ADVANCE_FREQUENCY</th>\n",
+       "      <th>CASH_ADVANCE_TRX</th>\n",
+       "      <th>PURCHASES_TRX</th>\n",
+       "      <th>CREDIT_LIMIT</th>\n",
+       "      <th>PAYMENTS</th>\n",
+       "      <th>MINIMUM_PAYMENTS</th>\n",
+       "      <th>PRC_FULL_PAYMENT</th>\n",
+       "      <th>TENURE</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>C10001</td>\n",
+       "      <td>40.900749</td>\n",
+       "      <td>0.818182</td>\n",
+       "      <td>95.40</td>\n",
+       "      <td>0.00</td>\n",
+       "      <td>95.4</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.166667</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1000.0</td>\n",
+       "      <td>201.802084</td>\n",
+       "      <td>139.509787</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>C10002</td>\n",
+       "      <td>3202.467416</td>\n",
+       "      <td>0.909091</td>\n",
+       "      <td>0.00</td>\n",
+       "      <td>0.00</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>6442.945483</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.250000</td>\n",
+       "      <td>4</td>\n",
+       "      <td>0</td>\n",
+       "      <td>7000.0</td>\n",
+       "      <td>4103.032597</td>\n",
+       "      <td>1072.340217</td>\n",
+       "      <td>0.222222</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>C10003</td>\n",
+       "      <td>2495.148862</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>773.17</td>\n",
+       "      <td>773.17</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>12</td>\n",
+       "      <td>7500.0</td>\n",
+       "      <td>622.066742</td>\n",
+       "      <td>627.284787</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>C10004</td>\n",
+       "      <td>1666.670542</td>\n",
+       "      <td>0.636364</td>\n",
+       "      <td>1499.00</td>\n",
+       "      <td>1499.00</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>205.788017</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>7500.0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>NaN</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>C10005</td>\n",
+       "      <td>817.714335</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>16.00</td>\n",
+       "      <td>16.00</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1200.0</td>\n",
+       "      <td>678.334763</td>\n",
+       "      <td>244.791237</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "  CUST_ID      BALANCE  BALANCE_FREQUENCY  PURCHASES  ONEOFF_PURCHASES  \\\n",
+       "0  C10001    40.900749           0.818182      95.40              0.00   \n",
+       "1  C10002  3202.467416           0.909091       0.00              0.00   \n",
+       "2  C10003  2495.148862           1.000000     773.17            773.17   \n",
+       "3  C10004  1666.670542           0.636364    1499.00           1499.00   \n",
+       "4  C10005   817.714335           1.000000      16.00             16.00   \n",
+       "\n",
+       "   INSTALLMENTS_PURCHASES  CASH_ADVANCE  PURCHASES_FREQUENCY  \\\n",
+       "0                    95.4      0.000000             0.166667   \n",
+       "1                     0.0   6442.945483             0.000000   \n",
+       "2                     0.0      0.000000             1.000000   \n",
+       "3                     0.0    205.788017             0.083333   \n",
+       "4                     0.0      0.000000             0.083333   \n",
+       "\n",
+       "   ONEOFF_PURCHASES_FREQUENCY  PURCHASES_INSTALLMENTS_FREQUENCY  \\\n",
+       "0                    0.000000                          0.083333   \n",
+       "1                    0.000000                          0.000000   \n",
+       "2                    1.000000                          0.000000   \n",
+       "3                    0.083333                          0.000000   \n",
+       "4                    0.083333                          0.000000   \n",
+       "\n",
+       "   CASH_ADVANCE_FREQUENCY  CASH_ADVANCE_TRX  PURCHASES_TRX  CREDIT_LIMIT  \\\n",
+       "0                0.000000                 0              2        1000.0   \n",
+       "1                0.250000                 4              0        7000.0   \n",
+       "2                0.000000                 0             12        7500.0   \n",
+       "3                0.083333                 1              1        7500.0   \n",
+       "4                0.000000                 0              1        1200.0   \n",
+       "\n",
+       "      PAYMENTS  MINIMUM_PAYMENTS  PRC_FULL_PAYMENT  TENURE  \n",
+       "0   201.802084        139.509787          0.000000      12  \n",
+       "1  4103.032597       1072.340217          0.222222      12  \n",
+       "2   622.066742        627.284787          0.000000      12  \n",
+       "3     0.000000               NaN          0.000000      12  \n",
+       "4   678.334763        244.791237          0.000000      12  "
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "b1aa0753",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Drop those columns wbich bave data in non-int or non-float form and whose data wouldn't be useful even if we convert it to a number\n",
+    "missing_value=np.nan\n",
+    "df.drop('CUST_ID',axis=1,inplace=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "71ca4647",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "BALANCE                               0\n",
+       "BALANCE_FREQUENCY                     0\n",
+       "PURCHASES                             0\n",
+       "ONEOFF_PURCHASES                      0\n",
+       "INSTALLMENTS_PURCHASES                0\n",
+       "CASH_ADVANCE                          0\n",
+       "PURCHASES_FREQUENCY                   0\n",
+       "ONEOFF_PURCHASES_FREQUENCY            0\n",
+       "PURCHASES_INSTALLMENTS_FREQUENCY      0\n",
+       "CASH_ADVANCE_FREQUENCY                0\n",
+       "CASH_ADVANCE_TRX                      0\n",
+       "PURCHASES_TRX                         0\n",
+       "CREDIT_LIMIT                          1\n",
+       "PAYMENTS                              0\n",
+       "MINIMUM_PAYMENTS                    313\n",
+       "PRC_FULL_PAYMENT                      0\n",
+       "TENURE                                0\n",
+       "dtype: int64"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#Find missing values in data\n",
+    "df.isnull().sum()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "e191118c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "BALANCE                             0\n",
+       "BALANCE_FREQUENCY                   0\n",
+       "PURCHASES                           0\n",
+       "ONEOFF_PURCHASES                    0\n",
+       "INSTALLMENTS_PURCHASES              0\n",
+       "CASH_ADVANCE                        0\n",
+       "PURCHASES_FREQUENCY                 0\n",
+       "ONEOFF_PURCHASES_FREQUENCY          0\n",
+       "PURCHASES_INSTALLMENTS_FREQUENCY    0\n",
+       "CASH_ADVANCE_FREQUENCY              0\n",
+       "CASH_ADVANCE_TRX                    0\n",
+       "PURCHASES_TRX                       0\n",
+       "CREDIT_LIMIT                        0\n",
+       "PAYMENTS                            0\n",
+       "MINIMUM_PAYMENTS                    0\n",
+       "PRC_FULL_PAYMENT                    0\n",
+       "TENURE                              0\n",
+       "dtype: int64"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#If a column has more than 70% missing vaues then drop it\n",
+    "#Otherwise fill it with mean (experiment with both mean and median)\n",
+    "df[\"CREDIT_LIMIT\"].fillna(df[\"CREDIT_LIMIT\"].mean(),inplace=True)\n",
+    "df[\"MINIMUM_PAYMENTS\"].fillna(df[\"MINIMUM_PAYMENTS\"].mean(),inplace=True)\n",
+    "df.isnull().sum()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "6fd8850b",
+   "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>BALANCE</th>\n",
+       "      <th>BALANCE_FREQUENCY</th>\n",
+       "      <th>PURCHASES</th>\n",
+       "      <th>ONEOFF_PURCHASES</th>\n",
+       "      <th>INSTALLMENTS_PURCHASES</th>\n",
+       "      <th>CASH_ADVANCE</th>\n",
+       "      <th>PURCHASES_FREQUENCY</th>\n",
+       "      <th>ONEOFF_PURCHASES_FREQUENCY</th>\n",
+       "      <th>PURCHASES_INSTALLMENTS_FREQUENCY</th>\n",
+       "      <th>CASH_ADVANCE_FREQUENCY</th>\n",
+       "      <th>CASH_ADVANCE_TRX</th>\n",
+       "      <th>PURCHASES_TRX</th>\n",
+       "      <th>CREDIT_LIMIT</th>\n",
+       "      <th>PAYMENTS</th>\n",
+       "      <th>MINIMUM_PAYMENTS</th>\n",
+       "      <th>PRC_FULL_PAYMENT</th>\n",
+       "      <th>TENURE</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>40.900749</td>\n",
+       "      <td>0.818182</td>\n",
+       "      <td>95.40</td>\n",
+       "      <td>0.00</td>\n",
+       "      <td>95.4</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.166667</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>2</td>\n",
+       "      <td>1000.0</td>\n",
+       "      <td>201.802084</td>\n",
+       "      <td>139.509787</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>3202.467416</td>\n",
+       "      <td>0.909091</td>\n",
+       "      <td>0.00</td>\n",
+       "      <td>0.00</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>6442.945483</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.250000</td>\n",
+       "      <td>4</td>\n",
+       "      <td>0</td>\n",
+       "      <td>7000.0</td>\n",
+       "      <td>4103.032597</td>\n",
+       "      <td>1072.340217</td>\n",
+       "      <td>0.222222</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>2495.148862</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>773.17</td>\n",
+       "      <td>773.17</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>12</td>\n",
+       "      <td>7500.0</td>\n",
+       "      <td>622.066742</td>\n",
+       "      <td>627.284787</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>1666.670542</td>\n",
+       "      <td>0.636364</td>\n",
+       "      <td>1499.00</td>\n",
+       "      <td>1499.00</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>205.788017</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "      <td>7500.0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>864.206542</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>817.714335</td>\n",
+       "      <td>1.000000</td>\n",
+       "      <td>16.00</td>\n",
+       "      <td>16.00</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.083333</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>0</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1200.0</td>\n",
+       "      <td>678.334763</td>\n",
+       "      <td>244.791237</td>\n",
+       "      <td>0.000000</td>\n",
+       "      <td>12</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "       BALANCE  BALANCE_FREQUENCY  PURCHASES  ONEOFF_PURCHASES  \\\n",
+       "0    40.900749           0.818182      95.40              0.00   \n",
+       "1  3202.467416           0.909091       0.00              0.00   \n",
+       "2  2495.148862           1.000000     773.17            773.17   \n",
+       "3  1666.670542           0.636364    1499.00           1499.00   \n",
+       "4   817.714335           1.000000      16.00             16.00   \n",
+       "\n",
+       "   INSTALLMENTS_PURCHASES  CASH_ADVANCE  PURCHASES_FREQUENCY  \\\n",
+       "0                    95.4      0.000000             0.166667   \n",
+       "1                     0.0   6442.945483             0.000000   \n",
+       "2                     0.0      0.000000             1.000000   \n",
+       "3                     0.0    205.788017             0.083333   \n",
+       "4                     0.0      0.000000             0.083333   \n",
+       "\n",
+       "   ONEOFF_PURCHASES_FREQUENCY  PURCHASES_INSTALLMENTS_FREQUENCY  \\\n",
+       "0                    0.000000                          0.083333   \n",
+       "1                    0.000000                          0.000000   \n",
+       "2                    1.000000                          0.000000   \n",
+       "3                    0.083333                          0.000000   \n",
+       "4                    0.083333                          0.000000   \n",
+       "\n",
+       "   CASH_ADVANCE_FREQUENCY  CASH_ADVANCE_TRX  PURCHASES_TRX  CREDIT_LIMIT  \\\n",
+       "0                0.000000                 0              2        1000.0   \n",
+       "1                0.250000                 4              0        7000.0   \n",
+       "2                0.000000                 0             12        7500.0   \n",
+       "3                0.083333                 1              1        7500.0   \n",
+       "4                0.000000                 0              1        1200.0   \n",
+       "\n",
+       "      PAYMENTS  MINIMUM_PAYMENTS  PRC_FULL_PAYMENT  TENURE  \n",
+       "0   201.802084        139.509787          0.000000      12  \n",
+       "1  4103.032597       1072.340217          0.222222      12  \n",
+       "2   622.066742        627.284787          0.000000      12  \n",
+       "3     0.000000        864.206542          0.000000      12  \n",
+       "4   678.334763        244.791237          0.000000      12  "
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#Plot distribution plots of different columns\n",
+    "df.head()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "0a248d01",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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QB5iffkzEOQtgG3Bk7/VK4Ifz1BZJ2u9MSlh8DVid5KgkBwLrgEvnuU2StN+YiGGoqro3ye8DnwWWAB+qqhvG+JEPeyhrAVgMfYDF0Y/F0AdYHP1YDH2AeejHRJzgliTNr0kZhpIkzSPDQpI0yLDomdQpRZIcmeQLSW5KckOSc1v98CSXJ7m1PR82320dkmRJkm8k+XR7PYl9eEySjyW5uf2dPGfS+pHk9e3f0reSXJzkUZPQhyQfSrI9ybd6td22O8n57ef9liQnz0+rf9lu+vDO9u/puiSfTPKY3ro56YNh0Uz4lCL3Am+sqqcAJwDntLafB1xRVauBK9rrhe5c4Kbe60nsw3uBz1TVk4Gn0/VnYvqRZAXwh8CaqjqW7qKSdUxGHzYCa6fVRra7/YysA45p+1zQfg/Mt408tA+XA8dW1dOAbwPnw9z2wbB40ANTilTVz4GpKUUWvKq6s6q+3pbvpvvltIKu/ZvaZpuAU+elgbOUZCXwm8AHeuVJ68OhwPOADwJU1c+r6idMWD/orpRcmuQA4NF032ta8H2oqi8B/zitvLt2nwJcUlX3VNVtwFa63wPzalQfqupzVXVve/n/6L5rBnPYB8PiQSuAO3qvt7XaREmyCjgO+CpwRFXdCV2gAI+bx6bNxnuANwP392qT1odfA3YA/7sNp30gycFMUD+q6gfAu4DbgTuBf6qqzzFBfZhmd+2e1J/5/wxc1pbnrA+GxYNmNaXIQpbkEODjwOuq6qfz3Z49keRlwPaquma+2/IwHQA8E7iwqo4DdrEwh2t2q43pnwIcBTweODjJq+e3VWMxcT/zSd5GN+z80anSiM3G0gfD4kETPaVIkkfSBcVHq+oTrXxXkuVt/XJg+3y1bxZOBF6e5Ht0Q4AvTPIRJqsP0P072lZVX22vP0YXHpPUjxcBt1XVjqr6BfAJ4LlMVh/6dtfuifqZT7IeeBnwqnrwC3Jz1gfD4kETO6VIktCNkd9UVX/aW3UpsL4trwc+Nddtm62qOr+qVlbVKro/+89X1auZoD4AVNWPgDuSPKmVTqKbSn+S+nE7cEKSR7d/WyfRnQebpD707a7dlwLrkhyU5ChgNXD1PLRvUJK1wFuAl1fVP/dWzV0fpm5k46MAXkp3pcF3gLfNd3v2oN2/QXfoeR1wbXu8FPjXdFd/3NqeD5/vts6yP88HPt2WJ64PwDOALe3v42+AwyatH8DbgZuBbwF/CRw0CX0ALqY7z/ILuv91nzlTu4G3tZ/3W4CXzHf7Z+jDVrpzE1M/3++f6z443YckaZDDUJKkQYaFJGmQYSFJGmRYSJIGGRaSpEGGhSRpkGGhiZDkV5NckuQ7SW5M8ndJ/m1b9/ok/5LkV3rbPzrJR5Nc36bZ/kqbDoUkO6e992uS/Pks2vDNJBdPq21Mcltb9+0kH26ztpLkyulTRid5XZIL2vKyJL9I8l+mbfO9JB/vvX5lko291y9JsiXd9Oc3J3lXq/9Rkh8kubb3eMyIfpzcW7+zTW19bWv785P8U5vX6oH3bvu9IckHe69fleT/DP25aXEwLLTgtW8RfxK4sqqeWFVHA28FjmibnE73DfxX9HY7F7irqp5a3TTbZ9J9yWlv2/AUup+X57WJAfveVFVPB54EfAP4QpsF4GK6b6P3rWt1gNPoZhA9fcRHrklyzIh2HAv8OfDq6qakPxb4bm+Td1fVM3qPn0x/j6r67NR6ui8Pvqq9PqNt8uXq5rU6DnhZkhNb/X3A8UlObCH0x8AfjGi7FiHDQpPgBcAvqur9U4WquraqvpzkicAhwH/ll3/pLgd+0Nv+lqq652G04T/RfZP5c8DLR21QnXcDP6K7L8rH6H7ZHgQPzAj8eOArbZfTgTcCK6eORnreRReI070Z2FBVN7fPvLeqLngY/dqtqvoZ3beFV0x9FnA23X1f/hfwoar67m7fQIuKYaFJcCywu9loT6f7n/qXgSclmZp++kPAW5JcleSPk6zu7bO0P1QD/I9ZtOG3gb9qnzXqSKDv68CTq+rHdPP0TN3IZh3wV1VVSY4EfrWqrgY2t/fv2ww8M8mvT6vP9GcB8Ppe374w2KsZtNlnVwNfmqpV1d/TzRP1IrrA0H7CsNCkW0d385f76WZHPQ26Iw+6e0u8Ezgc+FobSgL4WX+oBvhvM31AkmcBO6rq+3RzCz0zM99StD9tdH8oqj8EtY4uEKCbZXd6AN3X2n7+TG0boT8M9YI93HfKv09yHd0R0qermxwReGAa/DXAI4Fle/n+mkCGhSbBDcDx04tJnkb3P9/L29Tm6+j90q2qnVX1iao6G/gI3eSKe+N04MntM74DHAr8xxm2P44Hbw37N8BJSZ4JLK12R8P2nq9p73kp8PRpRz/QDXs9D/g3vdrIP4t97MvV3b7zqcBrkzyjt+7tdH+WG4B3j7kdWkAMC02CzwMHJfm9qUL73/57gT+qqlXt8XhgRZIntJOwh7VtD6S7r/r39/SDkzyC7mjlaVOfQ3djoIcMRaXzh3TnSz4DXWABV9INi13ctnsScHBVrei95/9k2snw6u4l8W7gdb3yO4G39q4Ee0SSN+xpv2ajqr7d2vWW9llPpbvt7Z8AFwFPSPLicXy2Fh7DQgtedVMjvwJ4cbt09gbgj+imMv/ktM0/SfdL94nAF5NcT3eF0ha6m0PtqecBP6juVqNTvgQcnXZDHeCdSb5JN739s4AXVHcf9ykXA0+nG26CLmimt/vjjD4X8kG6u+8BUFXX0YXHxUluoptCfHlv+/45i2vbSfWH4/10V4AdBVwIvL6q/qUN+50NvLeFsRY5pyiXJA3yyEKSNOiA4U2k/UOSt9Gupur566raMB/t2RfaN8j/ZFr5tqp6xajtpd1xGEqSNMhhKEnSIMNCkjTIsJAkDTIsJEmD/j9QhSISyisc3wAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "for col in df:\n",
+    "    plt.figure()\n",
+    "    sns.histplot(df[col])\n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "729e3e8c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "BALANCE                              2.393386\n",
+       "BALANCE_FREQUENCY                   -2.023266\n",
+       "PURCHASES                            8.144269\n",
+       "ONEOFF_PURCHASES                    10.045083\n",
+       "INSTALLMENTS_PURCHASES               7.299120\n",
+       "CASH_ADVANCE                         5.166609\n",
+       "PURCHASES_FREQUENCY                  0.060164\n",
+       "ONEOFF_PURCHASES_FREQUENCY           1.535613\n",
+       "PURCHASES_INSTALLMENTS_FREQUENCY     0.509201\n",
+       "CASH_ADVANCE_FREQUENCY               1.828686\n",
+       "CASH_ADVANCE_TRX                     5.721298\n",
+       "PURCHASES_TRX                        4.630655\n",
+       "CREDIT_LIMIT                         1.522549\n",
+       "PAYMENTS                             5.907620\n",
+       "MINIMUM_PAYMENTS                    13.867357\n",
+       "PRC_FULL_PAYMENT                     1.942820\n",
+       "TENURE                              -2.943017\n",
+       "dtype: float64"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#Find skewness in data of different columns\n",
+    "df.skew(axis=0)  "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "767a7b5e",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "BALANCE                             0.829498\n",
+       "BALANCE_FREQUENCY                  -2.819495\n",
+       "PURCHASES                           1.730752\n",
+       "ONEOFF_PURCHASES                    2.129460\n",
+       "INSTALLMENTS_PURCHASES              1.546939\n",
+       "CASH_ADVANCE                        1.486159\n",
+       "PURCHASES_FREQUENCY                -0.421872\n",
+       "ONEOFF_PURCHASES_FREQUENCY          0.724607\n",
+       "PURCHASES_INSTALLMENTS_FREQUENCY    0.130409\n",
+       "CASH_ADVANCE_FREQUENCY              0.706976\n",
+       "CASH_ADVANCE_TRX                    1.417779\n",
+       "PURCHASES_TRX                       1.185757\n",
+       "CREDIT_LIMIT                        0.680933\n",
+       "PAYMENTS                            1.951535\n",
+       "MINIMUM_PAYMENTS                    3.805340\n",
+       "PRC_FULL_PAYMENT                    1.297280\n",
+       "TENURE                             -3.064332\n",
+       "dtype: float64"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "#Remove skewness using square root transform(try out different methods like log transform)\n",
+    "for col in df:\n",
+    "    df[col]=np.sqrt(df[col])\n",
+    "df.skew(axis=0)   \n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "fd91e0e8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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0aNGMNlyS5rNRh8UGYHWbXg1c0le+Ksl+SQ6jdyP78nap6s4kx7WnoE7pqyNJGpF9hrXhJB8GXggsTLIN+APgLGB9klOBG4GTAapqS5L1wNXAduD0qrq3beo0ek9WLQAubS9J0ggNLSyq6nU7WHTCDtZfC6ydonwzcOQMNk2StJNmyw1uSdIsZlhIkjoZFpKkToaFJKmTYSFJ6mRYSJI6GRaSpE6GhSSpk2EhSepkWEiSOhkWkqROhoUkqZNhIUnqNLRRZyVJO6+qGB8fB2DhwoX0vspn9/PMQpJmkfHxcVaf+/esPvfv7w+N2cAzC0maZfZ9zON2dxMewjMLSVInw0KS1MnLUJI0w2brTepdYVhI0hR25YA/cZMaYN2bXsKiRYuG0sZRMiwkzRoz9R/5TGxnVw/4s/Em9a4wLKR5YFiXRWZ6uzP1H/lMbWdPO+DvCm9wS5NUFWNjY1TVHrPfYT27P4zt7vuYx83IQXqmtqMew0KaZHx8nFXv/ujIPxA17P0O6+DpQXl+8DLUJHviUwzaefs+av95tV+py5wJiyQrgD8H9gY+UFVnDWM/e+JTDLORoaz5ZOLvfeHChQD3/+0/4QlP4Pbbb3/QpcfZNMRHvzkRFkn2Bt4H/CtgG/D1JBuq6uph7M9T6uEzlIej/6A0mwJ4V/45GMUTUhPLJg7ak/8eJ+4n9dedvD144EA/+b7TxCXGi975KoD7//b/22uO5rfXX8ndP/spe+23gPvu/jl3/fQOnrD0CPZ5xOw6PM+u1uzYscDWqvoBQJKLgJXAUMLinn/6CTB7E35P0P+znW0/5/Hxce6566e75Z7Fru53fHycNe/9OOe/+d/cfwC7f9tD+LsedLvj4+O8+S+/AMB73/grD2pb1/YGrbsr25lYds9dd7L9n7fzwbedBDxwLLjuuuv4/UuuelDdydsD7p//zyufPuXPZfLP6I477piy/Xf/7Mfct88jdup3NfH3MywZ9RMfD0eSVwMrquo32/wbgOdU1ZsnrbcGWNNmnwJc+zB3uRCYXUew4bPP88N86/N86y/sep9/oaoecqo/V84spjrvfEjKVdX5wPm7vLNkc1Ut39XtzCX2eX6Yb32eb/2F4fV5rjw6uw04tG9+CXDzbmqLJM07cyUsvg4sS3JYkn2BVcCG3dwmSZo35sRlqKranuTNwN/Re3T2g1W1ZYi73OVLWXOQfZ4f5luf51t/YUh9nhM3uCVJu9dcuQwlSdqNDAtJUqd5HRZJViS5NsnWJGdMsTxJzmnLv53kWbujnTNlgP7+Wuvnt5N8JclRu6OdM6mrz33rPTvJve0zPXPaIH1O8sIkVybZkuQLo27jTBvgb/txST6e5Futz2/cHe2cKUk+mOS2JN/ZwfKZP3ZV1bx80btR/n3gScC+wLeAwyet8zLgUnqf8zgO+NrubveQ+3s8cECbfulc7u+gfe5b77PAp4BX7+52j+D3/Hh6ox88sc0ftLvbPYI+/y7wX9v0IuAOYN/d3fZd6PMLgGcB39nB8hk/ds3nM4v7hxCpqnuAiSFE+q0ELqyerwKPT3LIqBs6Qzr7W1Vfqar/22a/Su/zLHPZIL9jgLcAHwVuG2XjhmSQPr8e+FhV3QhQVXO934P0uYDHpjcg1GPohcX20TZz5lTVF+n1YUdm/Ng1n8NiMXBT3/y2Vraz68wVO9uXU+n9ZzKXdfY5yWLglcD7R9iuYRrk9/xLwAFJPp/kiiSnjKx1wzFIn98LPI3eh3mvAt5aVfeNpnm7xYwfu+bE5yyGZJAhRAYaZmSOGLgvSV5ELyx+eagtGr5B+nw28K6qunc2jdK6Cwbp8z7AMcAJwAJgU5KvVtX3ht24IRmkzycCVwIvBp4MXJbkS1U1vJH3dq8ZP3bN57AYZAiRPWmYkYH6kuQZwAeAl1bV7SNq27AM0uflwEUtKBYCL0uyvar+z0haOPMG/bser6qfAT9L8kXgKGCuhsUgfX4jcFb1LuhvTXI98FTg8tE0ceRm/Ng1ny9DDTKEyAbglPZkwXHAT6rqllE3dIZ09jfJE4GPAW+Yw/9l9uvsc1UdVlVLq2op8BHgTXM4KGCwv+tLgOcn2SfJo4DnANeMuJ0zaZA+30jvTIokB9MblfoHI23laM34sWvenlnUDoYQSfJbbfn76T0d8zJgK3AXvf9O5qQB+/v7wBOAc9t/2ttrDo/YOWCf9yiD9LmqrknyaeDbwH30vnlyykcw54IBf89/DFyQ5Cp6l2jeVVVzdujyJB8GXggsTLIN+APgETC8Y5fDfUiSOs3ny1CSpAEZFpKkToaFJKmTYSFJ6mRYSJI6GRaSpE6GhWalNlz4lW1I6W8kOX7S8rcn+X9JHtdX9sIkn5hmm99qz6f3l12Q5EdJ9mvzC5P8sG/5LyX5VBvq+Zok65Mc3Pb1k9bGiddLBujPxGtp3za+meS7Sd7Tt/5vJBmbVOfwtuyIJJ9N8r0k30/yR0n2asv+MMl/mLTvHyZZuIN2nNHKP59kc1+d5Uk+3zd/bJIvpjcM+HeTfCDJK5JsSvtQTpK92zYf9LvSnmHefihPs97Pq+pogCQnAn8K/Erf8tfR++TuK4ELujaW5Gn0/jl6QZJHt6EuJtwL/DvgvEl1Hgl8EnhHVX28lb2I3hDXAF+qqpfvbH/6tr90YhtJFgDfTHJxVf1DW+VvqurNk+osoPfp3NOq6jPtE9gfBd4K/PeH044+ByV5aVU9aADJ9onnvwVWVdVEOLwK+BpwA71xxD5Ab/Ter1fVVwZoh+YYzyw0F+wPTAydTpIn0xtm+j/SC41BvB74K+AzwCsmLTsbeHuSyf88vR7YNBEUAFX1uWF82rmqfk5voLuukUFfD/xDVX2m1bsLeDPwzhloxrvp/UwnOx1YV1Wb2j6rqj5SVbcCbwfOTHJEa8e7ZqAdmoUMC81WC9olje/S+6/1j/uWvQ74MPAl4ClJDhpge68F/qbVmxwwNwJfBt4wqfxI4Ipptvn8SZd0njzNugv61rt48sIkBwDLgC/2t3nS9hcAR0xuU1V9v23/8dPsf6p2XJnktX3LNgF3t7Onfjv8ObTxhs5udf+kqqb7jgXNYV6G0mzVfxnqucCFSY5so4auAl5ZVfcl+RhwMvC+HW0oybOBsaq6oY2j88EkB/R90RPAf6F3eeeTO9HGXboM1Tw/ybfpDWx3VlX9Y9+yqS5DhamHmp4YknpH4/dMlE93GQrgT+idXezMGcL76LX9gp2ooznGMwvNeu3yx0JgUXpDqC+j930EP6QXHF2Xol4HPLWt/316l7VeNWkfW+ldBnpNX/EWet/7MExfqqpnAE8HTktydMf6W+gNq36/JE+iN+T4j4HbgQMm1Xks8ONBGlNVnwUeSe+rOPv3ucOfQ/sSIQeZ28MZFpr1kjyV3miit9M78P/hxLDiVfUvgcVJfmEHdfeid+bxjL6hyFcydcCsBfqfJPpr4Pgkv9q3vRVJnj4T/erXhoT/U7r/o/8Q8MsTT161S1Pn0Bt1FHqXsV6R5LFt+b8FvlVV9+5Ec9YCv9M3/15gdZLnTBQk+fUk/2Intqk5zrDQbHX/tXV69xpWtwPeKmDyNf+LWznACUm2TbzoHXx/VFU/6lv/i8DhmfSdxFW1BfhG3/zPgZcDb0lyXZKrgd/gge/qnnzP4tW72Of303ta67A2P/mexfGtTa8Afi/J94Bxeje8P9Ta/G16B/cvt5/dbwG/2bePyfcszprciKr6FDDWN38rvZ/ve9qjs9cAzwf21G+Z0xQcolyaw5KcBPwZ8KKqumE3N0d7MMNCktTJp6GkGZLkCcDGKRadsAd8n7nmOc8sJEmdvMEtSepkWEiSOhkWkqROhoUkqdP/Bymr6t3iJLsSAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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zs0IuFmZmVsjFwszMCrlYmJlZIRcLMzMr5GJhZmaFXCzMzKyQi4WZmRVysTAzs0IuFmZmVsjFwszMCrlYmJlZIRcLMzMr5GJhZmaFXCzMzKyQi4WZmRVysTAzs0IuFmZmVqi0YiHpBkmbJa3NxcZKWiHp4fQ8JrdtvqQ+SesknZOLnyFpTdp2nSSVlbOZmdVX5pHFYmBWTexKYGVETAVWpnUkTQO6gOmpzfWSRqQ2C4G5wNT0qH1NMzMrWWnFIiLuAn5VE54NLEnLS4Dzc/FbImJrRKwH+oAZksYDx0XE3RERwI25NmZm1iTNHrMYFxEbAdLziSk+EXgyt19/ik1My7XxuiTNldQtqXtgYGBYEzczO5xVZYC73jhEDBGvKyIWRURnRHS2tbUNW3JmZoe7ZheLTalrifS8OcX7gUm5/dqBDSneXiduZmZN1OxisRyYk5bnAMty8S5JoyRNIRvIXpW6qrZImpnOgro418bMzJrkiLJeWNLNwFnACZL6gb8HrgaWSroEeAK4ACAieiUtBR4AtgPzImJHeqlLyc6sGg3ckR5mZtZEpRWLiLhoL5vO3sv+C4AFdeLdwCnDmJqZme2jqgxwm5lZhblYmJlZIRcLMzMr5GJhZmaFXCzMzKyQi4WZmRVysTAzs0IuFmZmVsjFwszMCrlYmJlZIRcLMzMr5GJhZmaFXCzMzKyQi4WZmRVysTAzs0IuFmZmVsjFwszMCrWkWEh6TNIaST2SulNsrKQVkh5Oz2Ny+8+X1CdpnaRzWpGzmdnhrJVHFm+MiI6I6EzrVwIrI2IqsDKtI2ka0AVMB2YB10sa0YqEzcwOV1XqhpoNLEnLS4Dzc/FbImJrRKwH+oAZzU/PzOzw1apiEcD3JN0raW6KjYuIjQDp+cQUnwg8mWvbn2J7kDRXUrek7oGBgZJSNzM7/BzRovc9MyI2SDoRWCHpoSH2VZ1Y1NsxIhYBiwA6Ozvr7mNmZvuuJUcWEbEhPW8GbiPrVtokaTxAet6cdu8HJuWatwMbmpetmZk1vVhIOlrSsYPLwJ8Ba4HlwJy02xxgWVpeDnRJGiVpCjAVWNXcrM3MDm+t6IYaB9wmafD9/zkivivpp8BSSZcATwAXAEREr6SlwAPAdmBeROxoQd6l2rZtGz09PbvFOjo6OPLII1uTkJlZTtOLRUQ8CryqTvxp4Oy9tFkALCg5tZbq6enhsi8s4/gJJwHw6ycfZt7ZvUyfPv35fVw8zKxVWjXAbXUcP+EkXjxlGgDPbHiUa7+7lnE/3wm4eJhZa7lYNEFtF9Nzzz0HwMiRI5+P9fb2ErH7CVzHjnupi4eZVYKLRQlqi0Nvby8L7+zj+IlZF9NTq3/MEceMZdxJ057f56nVP2bMyacN+bpDFY9nNjzK5+fBjBm+XtHMhp+LRQlqxx8GC0H+D/3I48c9vz4Y21f54mFmViYXi5LUjj+UbeeO7fT29u4Rd9eUmQ0HF4tDxJZNT3Dt4398vlsK3DVlZsPHxeIQ4m4pMytLlWadNTOzivKRxTCod/ZT7WmwrVA7jlHvlF2PaZhZI1wshsHezn5qtdpxjNpTdj2mYWaNcrEYJs0++6lRtddm1J6ym1dvfirw0YeZuVgc1mq7qWovHgQffZhZxsXiMFavmyp/8SDUv37DRxpmhx8Xi31Ur6umKgPa+6O2m6pWbUHxnFRmhycXi31UO5gN1RnQLsu+zEnl+3KYHZpcLPZDfjAbqjWg3Qz54lE07uExD7NDg4uFHZCicY96Yx6+3sPs4ONiYQdsqHGPenNW+XoPs4PPQVMsJM0CPgeMAL4SEVc3433rdbMcrIPZrVI7Z1Xt9R5FV5rXOxKB3Y9GPFZiVq6DolhIGgF8AXgL0A/8VNLyiHig7PfeWzeLDZ+iK83r3Syq9qys2rGS2u31Ck4jRckFxyxzUBQLYAbQFxGPAki6BZgNlFIs8l0pz/5yA0ccM3a37Vs2Pc7TRx+9+z5//OPzsX1dH47XKOM1m5pXzc+4yO9/vYn/sbiPMRPWAvDLR9dy/ORTOH6I7SOOOpYxE176/GvUxmrXf/f0Rj560Vt2O03YrOrK6s7VwdClIuldwKyI+Mu0/j7gNRFxWc1+c4G5afXlwLr9fMsTgF/uZ9tmqXqOVc8Pqp9j1fOD6udY9fygejm+NCLaaoMHy5GF6sT2qHIRsQhYdMBvJnVHROeBvk6Zqp5j1fOD6udY9fyg+jlWPT84OHKEg+d+Fv3ApNx6O7ChRbmYmR12DpZi8VNgqqQpko4EuoDlLc7JzOywcVB0Q0XEdkmXAf9KdursDRHRW9DsQBxwV1YTVD3HqucH1c+x6vlB9XOsen5wcOR4cAxwm5lZax0s3VBmZtZCLhZmZlbIxSJH0ixJ6yT1Sbqy1fkASJok6U5JD0rqlXR5io+VtELSw+l5TIvzHCHpZ5Jur2h+L5J0q6SH0s/ytVXKUdKH0ve7VtLNko5qdX6SbpC0WdLaXGyvOUman3531kk6p4U5fip9z6sl3SbpRVXLMbftI5JC0gmtzLERLhZJbkqRtwLTgIsk1b9ZdXNtBz4cEa8EZgLzUl5XAisjYiqwMq230uXAg7n1quX3OeC7EfEK4FVkuVYiR0kTgf8OdEbEKWQncXRVIL/FwKyaWN2c0r/JLmB6anN9+p1qRY4rgFMi4lTg58D8CuaIpElkUxg9kYu1KsdCLha7PD+lSERsAwanFGmpiNgYEfel5S1kf+QmkuW2JO22BDi/JQkCktqBtwFfyYWrlN9xwBuArwJExLaI+A0VypHszMTRko4AXkh2HVFL84uIu4Bf1YT3ltNs4JaI2BoR64E+st+ppucYEd+LiO1p9Sdk12VVKsfkWuBv2f0C45bk2AgXi10mAk/m1vtTrDIkTQZOA+4BxkXERsgKCnBiC1P7LNk/+p25WJXyOwkYAL6Wusq+IunoquQYEU8B15D9D3Mj8ExEfK8q+dXYW05V/f35C+COtFyZHCWdBzwVEffXbKpMjrVcLHZpaEqRVpF0DPBN4IMR8dtW5zNI0tuBzRFxb6tzGcIRwOnAwog4Dfgdre8We17q958NTAEmAEdLem9rs9pnlfv9kfRxsm7cmwZDdXZreo6SXgh8HPi7epvrxCrxd8jFYpfKTikiaSRZobgpIr6VwpskjU/bxwObW5TemcB5kh4j67p7k6R/qlB+kH23/RFxT1q/lax4VCXHNwPrI2IgIp4DvgW8rkL55e0tp0r9/kiaA7wdeE/supisKjmeTPYfg/vT7007cJ+k/0B1ctyDi8UulZxSRJLI+tofjIjP5DYtB+ak5TnAsmbnBhAR8yOiPSImk/3MfhAR761KfgAR8QvgSUkvT6Gzyaa3r0qOTwAzJb0wfd9nk41NVSW/vL3ltBzokjRK0hRgKrCqBfkN3ijto8B5EfH73KZK5BgRayLixIiYnH5v+oHT07/TSuRYV0T4kR7AuWRnTzwCfLzV+aScXk92GLoa6EmPc4EXk52N8nB6HluBXM8Cbk/LlcoP6AC608/x/wJjqpQj8EngIWAt8HVgVKvzA24mG0N5juwP2iVD5UTWtfII2a0B3trCHPvI+v0Hf1++WLUca7Y/BpzQyhwbeXi6DzMzK+RuKDMzK+RiYWZmhVwszMyskIuFmZkVcrEwM7NCLhZmZlbIxcJKJ+nZ9Dw5Tcf817ltn5f0/rQ8U9I9knrSNOJXSfovab1H0jZJa9Ly1anNhyT9UdLxudc8S2mq9Jo8fiipsyZ2VsrpklzstBT7SFpfLGl9Lo9/T/H3S9op6dRc27Xpcw5+jickDeTaTpb0F+lzrE7773XCypr3vk/Sa+t9lvS6a3Of6Zk0D9ZDkq7J7XeMpC9JekTZlOh3SXpN/nvK7ft+SZ+vid0v6eaa2B7fW659/rP3SJom6QWSrkuffY2kn6YL0KzCDop7cNshZTNwuaQvRTa7b94S4N0Rcb+yaZlfHhEPAF8DSFMjvDEifplrcxHZ1ffvJJsKen+sAS4kzUpLdiV67QRvV0TErXXa9pNdRHVhPhgRg3+A30829fhlab097X96RDyjbM6vtoL8roiIWyX9GfAl4NSC/QF+FBFvlzQa+Jmk2yLi/5HNDLwemBoROyWdBLyygddD0ivJ/oP5BklHR8Tv0qY9vrdcs28Mfvbc61xENgfWqSmHdrL5uqzCfGRhzTZAduXvnDrbTiS70pWI2JEKxV5JOhk4BvgEWdHYX08AR0kaJ0lk9xG4o6DNoNuB6do1lUiRE4EtwLMAEfFsZFNRN+Iu4E8a3Jf0+n8gu4p5Yvp5vQb4RETsTNsfjYhvN/hyf052dfn3gPNy8X363oDxwMZcDv0R8esGc7AWcbGwVrga+LD2vKnLtcA6ZXc3+4Ckowpe5yKyqRR+BLxc0oFM4X0rcAHZBH73AVtrtn8q15VyUy6+E/hfwMcafJ/7gU3Aeklfk/SOfcjxHWRHQQ1TNqPtVLJCMx3oiYgde9l9dL7LCPiHmu0XAt8g+5nni/NQ39uFNd1Qo4GlwDvS+qclnbYvn8law8XCmi79T3oV2f9U8/F/ADrJ/uf658B3C16qi+xGMTvJZmq94ADSWpraDxagWldEREd6vKdm2z+TTQRY2O+e/lDPAt5FNg/ZtYN9/EP4VPrjPZds7iOoP211PvanklYDvyCbr+sXRbkBf8h9xg5yU2hLejUwEBGPkx0Znp4KUdH39o38a0bEHyKin6yraj5ZsV0p6ewG8rMWcrGwVvmfZDOD7vZvMCIeiYiFZDOvvkrSi+s1ToPKU4EVaSyjiwPoikp/TJ8ju83lyn1sux34NNnnaWT/iIhVEfGPZHn/54Img4XqLRExeB/np8kmQxw0FsiP5fwostuK/kfgUkkdQC/Zz3R/fu8vAl6RftaPAMfl8270e8vtvzUi7oiIK8j+LZy/HzlZE7lYWEtExENk04S/fTAm6W1pzACyQrAD+M1eXuIi4KpI0zxHxASyfvmXHkBafwd8dIhumqEsJrsvxZCD1ZImSDo9F+oAHt+P9/sh8N7cz2sOcGftThHxc+AfyT7XI2Qz735ysJ2kqUOdjZX2eQHZUdepsWta7dmk4ryP3xuSTpc0Iffap7J/PwNrIp8NZa20APhZbv19ZN0yvye7w9l7hvjD3QW8tSZ2W4rfA5wtqT+3bbCL6tuSnkvLdwNfGNwhIv59iFw/JekTufXd7oscEdskXQd8bojXABgJXJP+WP6RbMD/vxW0qWcR8AqyG+gEWRGYv5d9vwh8JHWT/SXZUVBf+jk/DVxR8F5vILsF6FO52F3ANGU3QKr7vaX6caGk1+fa/RXZUcmXJY1KsVXAbqfoWvV4inIzMyvkbigzMyvkbiizCpD0BbL7med9LiK+1op8zGq5G8rMzAq5G8rMzAq5WJiZWSEXCzMzK+RiYWZmhf4/baceQoHlNwkAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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GE1ajTms2FDVO8yIsgNOBbVX1LYAkNwDnAmMJi3430w937mDJj37Ed5/73P3WnGcWX/vwFzCZf/jeI/y367Zx1PK7nq5991t3seSwwzlq+YtGPp7Oef7vYw/zH9a/+ifCajpMTEzwgRtu5rkvWD7W19H8M67T2FPz4LSeJK8H1lXVv+sevxH4p1X1lqH5LgYu7h6+GLj3IF/yGOC7B7nsQuZ2Gc3tMprbZbS5vl1eVFXLhovzZc8iI2r7pFxVXQNc84xfLNlUVWuf6XoWGrfLaG6X0dwuo83X7TJfrpS3HTi+93gl8NAstUWSFp35EhZfBdYkOSHJocB64KZZbpMkLRrzohuqqnYneQvwVwxOnf1YVW0d40s+466sBcrtMprbZTS3y2jzcrvMiwPckqTZNV+6oSRJs8iwkCQ1GRY9SdYluTfJtiSXznZ7ZlOSbyeZSLIlyaaudnSSm5N8s7s/arbbOROSfCzJo0nu6tX2uy2SXNZ9hu5N8prZafX47We7vDfJju5zsyXJa3vPLfjtkuT4JF9Mck+SrUne1tXn/efFsOj0hhT5ReBE4PwkJ85uq2bd2VV1Su+c8EuBW6pqDXBL93gxuBZYN1QbuS26z8x64KRumau6z9ZCdC37bheAD3afm1Oq6jOwqLbLbuBdVfUS4Azgku69z/vPi2Gx19NDilTVE8CeIUW017nAhm56A3De7DVl5lTVbcD3hsr72xbnAjdU1a6quh/YxuCzteDsZ7vsz6LYLlX1cFVt7qYfB+4BVrAAPi+GxV4rgO/0Hm/vaotVAZ9Pcmc3jArAsVX1MAz+KIAXzlrrZt/+toWfI3hLkq933VR7ulsW3XZJsgp4OfAVFsDnxbDYa0pDiiwiZ1XVqQy65S5J8srZbtA8sdg/R1cDq4FTgIeB/97VF9V2SfI84BPA26vqB5PNOqI2J7eLYbGXQ4r0VNVD3f2jwI0Mdo0fSbIcoLt/dPZaOOv2ty0W9eeoqh6pqqeq6sfA/2Bvl8qi2S5Jns0gKD5eVZ/syvP+82JY7OWQIp0kz01y+J5p4F8AdzHYHhd2s10IfHp2Wjgn7G9b3ASsT7I0yQnAGuCOWWjfrNjzhdh5HYPPDSyS7ZIkwEeBe6rq93pPzfvPy7wY7mMmzMKQInPZscCNg889hwD/s6o+l+SrwMYkFwEPAm+YxTbOmCTXA68CjkmyHfgd4ApGbIuq2ppkI4NrrewGLqmqp2al4WO2n+3yqiSnMOhK+TbwJlhU2+Us4I3ARJItXe09LIDPi8N9SJKa7IaSJDUZFpKkJsNCktRkWEiSmgwLSVKTYSFJajIstCAlOS7JDUnuS3J3ks8k+Sfdc+9I8qMkR/bm/0dJPt4Ny35Xki93QzaQ5IdD6/71JH84hTZ8rfstQr92bZL7u+f+Nsl1SVZ0z906PER1krcnuaqbXpbkySRvGprn20k+0Xv8+iTX9h7/YpJN3bDZ30jyga4+PJz4liTPb70vLU6GhRac7le0NwK3VtXqqjqRwQ+jju1mOZ/BL/Zf11vsbcAjVfXSqjoZuAh48hm04SUM/r5e2f0Kvu/dVfUy4MXA3wBf7EYNuJ7ByAF967s6DH7I9b+79g9bm+SkEe04GfhD4Ne6YbNPBr7Vm6U/nPgpVfX3B/I+tXgYFlqIzgaerKo/2lOoqi1V9ddJVgPPA/4TP/mluxzY0Zv/3qra9Qza8G+APwY+D/zyqBlq4IPA3zEYsPHPgV9KshSeHrX0p4Avd4ucD7wLWLlnb6TnAwwCcdhvAZdX1Te619xdVVc9g/elRcqw0EJ0MnDnfp47n8F/6n8NvDjJnqGiPwb8xyS3J/mvSdb0ljms31UD/JcptOFXgT/tXmvUnkDfZuBnq+oxBuMC7bmg0HrgT6uqkhwPHFdVdwAbu/X3bQROTfIzQ/XJtgXAO3rv7YvNd6VFy7DQYrOewcVmfgx8kr1j9GwBfhp4P3A08NWuKwng//W7aoD/PNkLJHkFsLOqHmBwVbRTM/klaPvDVPe7ovpdUOsZBAIMLsw1HEBPdW2/bLK2jdDvhjr7AJfVImJYaCHaCpw2XEzycwxG9bw5ybcZfAE//aVbVT+sqk9W1W8CfwK8dngdU3Q+8LPda9wHHAH860nmfzmDK6oBfAo4J8mpwGF7rrrWrfPXu3XeBLxsaO8HBt1erwT+ca82cltIB8qw0EL0BWBpkt/YU+j+2/994L1Vtaq7/RSwIsmLkpy157//7mDzicADB/rCSZ7FYG/l5/a8DoNLZ+7TFZWBtzI4XvI5GAQWcCuDbrHru/leDDy3qlb01vm7DB0Mr6ongQ8Cb++V3w+8p3cm2LOSvPNA35dkWGjBqcFQyq8DXt2dOrsVeC+D4bRvHJr9RgZfuquBLyWZYHCG0iYGF7A5UK8EdlTVjl7tNuDE3rUe3p/ka8DfAq8Azu6u+77H9cDLGHQ3wSBohtv9CUYfC/kovUsPVNXXGYTH9UnuYXB9if41J/rHLLZ0B9WlfThEuSSpyT0LSVKTV8qTDlKS32bfqwX+WVVdPhvtkcbJbihJUpPdUJKkJsNCktRkWEiSmgwLSVLT/wcUQPRluj9C7wAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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OFNtd0t2Snknvu+W2v1DScklPSTqxipzNzEayKp/g/mhEvJT7fAFwb0R8Q9IF6fNXJR0EzAAOBvYF7pF0gKdWhU0b/0RXV9dWcY8XZWaDrZWG+5gOHJuWrwXuA76a4jdExAZghaTlwFRgcQU5tpTXX1zJ3BXr2ef5UW/HPF6UmZWhqmIRwF2SAviHiJgH7B0RqwEiYrWkvdK2Y4EHc/t2p9hWJM0GZgNMmDChrNxbyi5j9vNYUWZWuqqKxVERsSoVhLslPdnHtqoTi3obpqIzD6C9vb3uNmZm1n+VdHBHxKr0vha4haxZaY2kMQDpfW3avBsYn9t9HLCqedmamVnTi4Wkd0napWcZ+HPgMWARMCttNgu4LS0vAmZI2lHSJGAysOUMQGZmVqoqmqH2Bm6R1PP9P4mIf5L0G2ChpDOB3wGfAoiIZZIWAo8DG4FzfCeUmVlzNb1YRMRzwKF14i8Dx/WyzxxgTsmpmZlZL1rp1llrIj+jYWb94WIxQvkZDTPrDxeLEczPaJhZozyQoJmZFXKxMDOzQm6GKpE7kc1suHCxKJE7kc1suHCxKJk7kc1sOHCfhZmZFXKxMDOzQi4WZmZWyMXCzMwKuYO7yXw7rZkNRS4WTebbac1sKHKxqIBvpzWzocbFogW4acrMWl3Ti4Wk8cACYB/gLWBeRHxP0iXA54B1adOLIuL2tM+FwJnAJuALEXFns/MuUys3Ta1fv56Oji1nsXURMxt5qriy2Aj8TUQ8kubifljS3Wnd5RFxaX5jSQcBM4CDgX2BeyQdMNymVq1tmqp3tdHV1UVEc29g6+jo4Lwrb2X0uP2B+kWsXkEBFxWz4aSKaVVXA6vT8uuSngDG9rHLdOCGiNgArJC0HJgKLC492QrVu9rofuTX7HbAh5qey+hx+/fZx1JbUKB1rozMbHBU2mchaSJwGPAQcBRwrqTTgU6yq49/ISskD+Z266bv4jJs1F5tvNr9TIXZZHq74nnP2Pe5095sGKusWEh6N3ATcF5EvCZpLvDfgUjvlwGfBVRn9+jlmLOB2QATJkwoI+0Rr5WueMyseSopFpK2JysU10XEzQARsSa3/ofAz9PHbmB8bvdxwKp6x42IecA8gPb29roFxQauFa94zKxcVdwNJeBq4ImI+E4uPib1ZwCcAjyWlhcBP5H0HbIO7snA1r2pBgysY7xVOtXNrPVUcWVxFPAZYKmkJSl2ETBT0hSyJqaVwOcBImKZpIXA42R3Up0z3O6EGkwDaSZyE5OZ9aaKu6EeoH4/xO197DMHmFNaUsPMQJqJ3MRkZvX4CW4rhZ9KNxteXCysFK38VLqZ9Z+LhZWmkQET/fS32dDgYmGV8tPfZkODi4VVrmg4ETOrnouFNY2f4zAbulwsrGn8HIfZ0OViYU3l5zjMhiYXC2t5vmPKrHouFtZyavs2urq6mP/Ac+w2fvLbsVeef5Izj+ni0EMPfTu2YcMGJLHDDjtscTwXFbOBc7GwllPbt9HTr1HbfDX3nsdr+j/uY7td9mCfyR/IbefbcM0Gg4uFtaR830Zv/Rr1+j+2H71v4fS04KsNs/5ysbBhzcOOmA0OFwsb9hoZdqSWO9XNtuRiYSNOvaap2s7xep3qviKxkczFwkac+g8Hbtk5Xq9TvR5fgdhI4WJhI1JR53i9TvXehivZ1tt668VcZKxVDZliIWka8D1gFPCjiPhGxSnZCNPXcCXbcltvbWwgRcbPmFjZhkSxkDQK+HvgBKAb+I2kRRHxeLWZ2UjT6HAljdzWW+9qZluKTG+xRopPqxSjgTTn1dvXRXLwDYliAUwFlkfEcwCSbgCmA6UUi1e7l2/1uatrU5/7dHV18Wr3ii1if1z7Atu9uZ61T7+rlFjZx/d3VvCdu+zBYHnj5Rf51o+fZvQ9S9+OvfTcMrbbeRdGj5lQ93N/Yv/v5Rf50qdP2KIYbauuri4uv/Fu3rXHPv0+fu2+g5nXUFTWDRiKiFIOPJgkfRKYFhH/OX3+DPBnEXFuzXazgdnp44HAU9v4lXsCL23jvs3g/Aau1XN0fgPj/LbdeyOirTY4VK4sVCe2VZWLiHnAvAF/mdQZEe0DPU5ZnN/AtXqOzm9gnN/gGyqzznQD43OfxwGrKsrFzGzEGSrF4jfAZEmTJO0AzAAWVZyTmdmIMSSaoSJio6RzgTvJbp2dHxHLSvzKATdllcz5DVyr5+j8Bsb5DbIh0cFtZmbVGirNUGZmViEXCzMzKzSii4WkaZKekrRc0gV11kvSFWn9o5IOb2Ju4yX9UtITkpZJ+mKdbY6V9AdJS9Lra83KL33/SklL03d31llf5fk7MHdelkh6TdJ5Nds0/fxJmi9praTHcrHdJd0t6Zn0vlsv+/b5ey0xv29LejL9N7xF0uhe9u3z91BifpdIeiH33/Fjvexb1fm7MZfbSklLetm39PM3IBExIl9kHeXPAvsBOwBdwEE123wMuIPsOY8jgYeamN8Y4PC0vAvwdJ38jgV+XuE5XAns2cf6ys5fnf/WL5I9bFTp+QOOAQ4HHsvFvgVckJYvAL7Zy5+hz99rifn9ObBdWv5mvfwa+T2UmN8lwFca+A1Ucv5q1l8GfK2q8zeQ10i+snh7CJGI+FegZwiRvOnAgsg8CIyWNKYZyUXE6oh4JC2/DjwBjG3Gdw+iys5fjeOAZyPi+Qq+ewsRcT/wSk14OnBtWr4WOLnOro38XkvJLyLuioiN6eODZM85VaKX89eIys5fD0kCTgWuH+zvbYaRXCzGAr/Pfe5m67+MG9mmdJImAocBD9VZ/WFJXZLukHRwczMjgLskPZyGWqnVEueP7Lmc3v4HrfL89dg7IlZD9o8EYK8627TKufws2dViPUW/hzKdm5rJ5vfSjNcK5+9oYE1E1B99strzV2gkF4tGhhBpaJiRMkl6N3ATcF5EvFaz+hGyppVDge8DtzYzN+CoiDgcOAk4R1LtCGatcP52AD4B/LTO6qrPX3+0wrm8GNgIXNfLJkW/h7LMBd4HTAFWkzX11Kr8/AEz6fuqoqrz15CRXCwaGUKk0mFGJG1PViiui4iba9dHxGsR8ce0fDuwvaQ9m5VfRKxK72uBW8gu9fNaYZiWk4BHImJN7Yqqz1/Omp7mufS+ts42Vf8WZwEfB06L1MBeq4HfQykiYk1EbIqIt4Af9vK9VZ+/7YC/AG7sbZuqzl+jRnKxaGQIkUXA6emuniOBP/Q0F5QttW9eDTwREd/pZZt90nZImkr23/PlJuX3Lkm79CyTdYI+VrNZZecvp9d/zVV5/mosAmal5VnAbXW2qWzIG2UTj30V+EREvNHLNo38HsrKL98Pdkov31v1kEHHA09GRHe9lVWev4ZV3cNe5Yvsbp2nye6SuDjFzgLOSssim3TpWWAp0N7E3P4N2WXyo8CS9PpYTX7nAsvI7ux4EPhIE/PbL31vV8qhpc5f+v53kv3l/55crNLzR1a4VgN/IvvX7pnAHsC9wDPpffe07b7A7X39XpuU33Ky9v6e3+FVtfn19ntoUn4/Tr+vR8kKwJhWOn8pfk3P7y63bdPP30BeHu7DzMwKjeRmKDMza5CLhZmZFXKxMDOzQi4WZmZWyMXCzMwKuViYmVkhFwsbViRtSkM8Pybpp5LeKWlifsjotN0lkr6Slq+RtCLt1yXpuNx2UyXdn4a2flLSj9Ixz5D0g5pj3iepPff5MEkh6cSa7S5WNuz8o+k7/yy3/1O54ax/luIHpnVLlA1ZX3dKTkkn5vb9Y+5YC7R5OPbfpj/Hpbn9vizp6tzn0yT9YlvOvw1fQ2IObrN+eDMipgBIuo7sIbythkqp4/yI+Jmkj5LNjzxZ0t5kY0rNiIjF6WnvvyQbMr4RM4EH0vudKacPkw2bcXhEbEjDi+yQ2+e0iKidy+AK4PKIuC0d4wP1viwi7sx9z31kw3Z3ps/HAr+OiI9L2hn4raRbIuL/pON3SjqK7IGwvyMbqdfsbS4WNpz9GvhgP/dZzObRSM8Bro2IxQCRPcHa86/9Pg+SCssngROAX0vaKSLWk81T8lJEbEjHfKmBnMaQPQ1M2mdpf/5AtSLiTWUT8IxNnzdK+ivgSqADmB8Rzw3kO2z4cTOUDUtp4LaTyIaB6I9pbB599hDg4T62/XSu2WcJ0J5bdxSwIiKeBe4jG2oC4C5gvKSnJV0p6d/WHPO63DG/nWKXA/+sbBj1L6mXmeoapWwI78nA/T2xiPi/ZHOmHE82GZPZFlwsbLjZOf3F3Qn8jmwwxt7GtMnHvy3pOeB/A/+jwe+6MSKm9LzSd/aYSTbBDul9JkBko9weAcwG1gE3Sjojt99puWOen/b5X8D7yZrEjgUelLRjgznmHS3pUbJZA38eES/2rFA2FH47sD3Qtg3HtmHOxcKGmzdzf9n+dWSzor0M1E6IszuQbwI6H9gf+K9snrVuGdlf7P0iaRRZ38bXJK0kmyvjpJ5RRSMbTvu+iPg62WCGf1l0zIhYFRHzI2I62ZwSh/Q3L7I+iw8CHwDOljQlt+5vyQrlHLIrGbMtuFjYsJf+Nb+65y4nSbuTNTc9ULPdW8D3gHekO5h+AMzquVsp7fsfJe1T8JXHA10RMT4iJkbEe8nmJTk53dk0ObftFKDP6V4lTVM2twnpu/cAXij6c/cmIp4G/ifZsOM9Heb/nmx+7XnAeyWdsK3Ht+HJHdw2UpwO/L2knlnU/jb1J2whIkLS3wH/JSKOkzQDuFTSXsBbZO38RXdXzSSbvCbvJuBs4HHg+6nfYSPZ8N/5KTSvk/RmWn4pIo4nm9vge5LWp/j5+SakbXQV8BVJk8hmmvtS6oAndXYvkDQlXZmZeYhyMzMr5mYoMzMr5GYosyEo9al8sya8IiJOqSIfG/7cDGVmZoXcDGVmZoVcLMzMrJCLhZmZFXKxMDOzQv8f5pVwdZGnxvkAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Plot the data and find skewness again to check how much it was corrected\n",
+    "for col in df:\n",
+    "    plt.figure()\n",
+    "    sns.histplot(df[col])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "84fc8cef",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'Correlation between different features')"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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L64AxJtFz30vAQU/5D/BMYFyRx8f9v30aSMT9/47GvV9ERESOyFh7HDf5iIiIiIiIiEil2ZyRWiMbAdoFhZq/L1X11FNFRERERERERKQCNFGtiIiIiIiIyAnieJ6fpCZSTxURERERERERkQpQo4qIiIiIiIiISAVo+I9I1alRHe3WPfpBdUcot7typlZ3hHJr7Xdczrd1WHPS6ld3hHL7vPdH1R2h3M5471/VHaFcevbbXd0Rym35n82qO0K5/Tzm4eqOUC7GVfO+kfjSHZOrO0K5fRJxW3VHKJeDeXv+vtBxJnvotdUdoVwGnRpS3RHKbehdJ1d3hHKb98yKmnURJz6jRhURERERERGRE4S+ALhyafiPiIiIiIiIiEgFqFFFRERERERERKQCNPxHRERERERE5AShr1SuXOqpIiIiIiIiIiJSAWpUERERERERERGpADWqiIiIiIiIiIhUgOZUERERERERETlB6CuVK5d6qoiIiIiIiIiIVIAaVUREREREREREKkCNKiIiIiIiIiIiFaA5VUREREREREROEC7NqVKp1FNFRERERERERKQC1KgiIiIiIiIiIlIBGv4jIiIiIiIicoLQVypXLvVUERERERERERGpADWqiIiIiIiIiIhUgIb/yHHJGOME1gIGcAKTrbV/eC2fAjwFNLDWpnnuGwbcYa0dfZhtrgY2WGsv9rrvfeA0oJW1Ns8YEwkst9a28CxvB0wF2gH5nkw3Ax2BGcAOr4e4w1r7v2N86kft3nvvZd68eURERDBz5syqetgjCmwdQ6ORfcBhSPlzC4m/ryuzXN2YCFpdNYo9Xy0gfeOuogXG0Pqas8jPyGb3579UUeoiPdsN4PrRd+JwOJi97Fu+nP9eseVNolow5fxHaBPTgQ/mvMbXCz+q8owAHdsO4LxRd+Bw+LFoxTfMXfB+seUNIlsw4dyHaRLTgZlzp/HL7+6c0ZHNmXjh04XlIsIaM+vnN5m36NNKzzi4Yx/uP+9fOBwOvlw0k7fnflKqzP3n/YuhnfuRezCPez5+kg17NwPw5CX3MKzLAJIyUhjz1BWl1rtq+EXcfc5N9LtnNClZaZWeHWDVtmV8MOdNXNbJ8O5ncvaAC4stX79rNc9/+TDRIQ0B6NNhIOcNvhSAH5Z8za+rfgRjaBbVkhvG3E4t/1o+yentiZuvZUTfnuTk5nHLMy+zdsv2UmWuGjeK684fS8vGjeh49qUkp2cAMKBbFz54/D52H4hzP4eFi3nxwy98nvmQmnLsATxx47Wc2rsnOXl53PzCy6zdWsZ+HjOK688ZS8uYRnS4oGg/n9GvD/dcMQGXy0WB08UD//kvS9Zv9FnWwGZBxAxq4j4nb0giYWVcseX1YwJpPqoVBzPyAEjflkb88gMYP0Orc9pi/BwYB6RtSyV+6QGf5SyeOZhGQ5qBgZQNiSSuKP649RsH0eys1hxMP+jJnELCsv0YP0PL8zpg/AzGGNK3pRC/ZJ9PMg7o0I+7xk3B4XDwzeLveO+X0vXxrnNuY1DH/uQezOPBzx5jU+xfhcscxsGnU94jPi2BW965A4BJZ1zHsC5DsNZFcmYKD372GAnpiT7JH9iqIQ1P7w7GkLpqB4mLNpVZrk6jMFpdOYK93ywmfdNed/baAcSc1Ys6USEAxM5cRk5skk9yHk5QmxY0GXUKxhiSVq4jbuHSMsvVi2lAu+suYef/zSR1w5YqzQiwdv0ffPrlC1jrYvCAszlr5JWlymzavILPpr+A01lAYP1Q7rntLQCyszN475PHid23DYNh4mUP0KbVST7P/PLLLzNq1Ciys7O58sor+fPPPw9b9pVXXmHixIkEBQUBMHToUGbMmMGOHe5L46+//prHHnus0jP2adefyWPvwM/48cOyb/l03vulytw89k76tR9Ibn4uT//fw2zZt4mmkc15aMJThWUahTfmvblvMv23z2jdqC23nXMfdWvV40DKPh7//N9k52VVenb551Kjihyvcqy13QGMMSNxN6AM9Vp+MbAMOAd4/+82ZozpiLtn1hBjTH1rrfeZ0glcBbxRYp06wA/Abdba7z33nQJEeYosPFwDTlU499xzufTSS7n77rurK0JxxhBzZj92fDyHgvRsWl1zFhl/7SEvMa1UuQYjepK5rfTFbkTfjuQlpuGoHVBFoYs4jINJY+/h/nduJDE9jqk3fcLijfPZE1/0hikjO403v3+G/p1OqfJ8hxjjYPyYu5n23iRS0+O484aPWbtxPgcSitr3snLSmP7Ds5zUsXjO+MRdPDPt4sLtPH7XT6ze+GulZ3QYBw+Ov42J06YQl5rA9Dvf5pe1v7PtwM7CMkM69aNFdBNOf/RiurXoxMMX3s4FL1wPwNdLfuTjBV/zzGX3l9p2w9BoBnToTWyy797guVxO3v1pGvdf8hQRwZHc9+7N9GzbjyZRzYuV69C0C3dfWPyCMTk9kZ+WfcsL179NrYDaTP36cf5YP49h3U73WV6AEX170rJxI/pdegM9O7bj2Sk3cuakO0uVW7puI3MXLefrqY+XWrZk7QYuva/0/b5WU449gBG9e9IqphF9r7qBnh3a8ezkGznz1jL284aNzF26nG+eLb4/F65aw0+L3W8AO7Vsztv33cXAa2/yTVgDMUOasuO7rRRk5tN6fHvSd6SRl5JbrFjW/kx2/VC8Ycg6LTtmbMWV7wIHtD63HRm70smJy/ZNVu/Mw5qx49vNFGTm0+rCjmRsTy2deV8mu2duLZV55zd/eTIbWp3XnoydaeTEVe4bI4dxcO+5d3DDm7cQlxbPJ1PeY/76hWyP21lYZlDH/jSLbMrYJ8fTtXln7j//Li57+erC5ZcMuZAd8TupX7t+4X0f/Poxr//kfkN98eALuO70q3hi+rOVmh0AY2h0xsns/HQ+Bek5tLrqVDK27CMvMb1UuQbDTyJze/GGuEan9yBz+wH2fr0I43BgAvwqP+ORGEPT0SPY+sF08tMzaH/9BNI2bSU3IblUuZjTh5C+dWfV5vNwuZx8/MWz3H7La4SHNuDRZ66g+0lDaNyoVWGZ7OwMPvr8GW6b/AoR4Q1Jzyh6Dp9++QJdO/XnpmufoaAgn4MHc8t6mEp15pln0rZtW9q2bUvfvn1544036NevX5lle/bsSWhoaKn7Fy5cyJgxY3yW0WEc/GvcPdzx30kkpMXx5uSP+H3DfHbFF10D9W0/kCaRTZnw3Dg6NevClHPuZdK0K9iTuItrXr6kcDvT7/+Rhevc10B3nvcAb/wwldU7VnJmr7FcNPRy3p3zRpkZ/ik0p0rl0vAfqQmCgZRDN4wxrYFA4N+4G1eOxiXAR8AcYGyJZVOBKcaYko2MlwCLDjWoAFhrf7XWlt39oor17t2bkJCQ6o5RqG7jSPJS0slPzcS6XKSt30FQ+6alykX06UD6xl0UZBW/QPAPqkdQ2yak/Fn1nyYBtGvahX1JeziQEkuBs4AFq2fTv+OwYmXSslLYsncDTmdBtWQEaN6kC4lJe0lKicXpLGDF2tl0LZEzMyuF3bEbcLoOn7N96z4kJu8lJXV/pWc8qXlHdiXGsjdpP/nOAn5Y8TMjug4qVmZE10F8u/QnAFbv3EBw3UCigiMAWL5tNWnZ6aW2C3DvuTfz3IzXsT68Gti67y8ahsfQIKwR/n4BDOg0jOWbFx31+k6Xk4MFeThdTvLy8wgLivBZ1kPOGNiHL+e4Lw5XbNxMcP36RIeHlSq3busO9sTF+zxPedSUYw/gzP59+L+fPft502ZCAg+zn7eVvZ+zcovOe/Xq1PFpPa4XXY+DaXnkpx/EuixpW1IIbnn0rxmufBcAxmEwDuOrmMXUbVCfvFSvzJuTCWoVetTrV0XmLs06sSdxL7HJ+yhwFjD7z7kM6zKkWJlhXYYwc/ksANbuWk9Q3UAiPeeB6JAoBnccwNeLvyu2TlZeUYNV3Vp1fPaGp25MOAeTM8lPzXK/Vm/YTVC7mFLlwnu1IWNTbLHXakctf+o1iyR1lfsNrHW5cOXl+yboYdRr0pC85FQOpqRhnS5S1v5FSIc2pcpF9etB6oYtFGT5uCHwMLbvXE90VFOiI5vg7x9A356nsWr1/GJlFi/7iZ7dTyEi3N3jMTgoHICcnEw2b/2TwQPOBsDfP4B69YJ8nvnss8/mww8/BGDJkiWEhobSsGHDUuUcDgfPPfccd911l88zldShaWdik/awP9n9evHL6jkM7DSsWJmBnYcye8UPAGzYvY7AuoGEB0UWK3Nymz7EJu0lLtX9AU3TqOas3rESgOVbljCky3DfPxn5R1Gjihyv6hpjVhljNgH/Bbw/Dr4Y+AxYCLQ3xkQfxfYuBL7wrFeyIWY38BtwWYn7uwArjrDNwZ6Mh35aH0WOf6yAoHrkpxV9IliQnk1AUP1iZfyD6hHcoRnJKzaXWr/RyN4c+N/yams6jwiOJjGt6BO5xPQ4IkKijrBG9QgNjiIlraiXRmp6PKHBR3MIFHdy15GsWDO7MqMVahAaxYGUojeUcakJNAiNPGKZA6kJNAgpXqak4V0GEp+WwF+x2yo3cAnJGUlEBBX978ODI0nOKN0Nf0vsRu56+wae+ux+9iTsLCw7ut/53PTqZdzw8sXUq12fbq16+jQvQKPICGLjizLuT0ykUWT5GnN6dmrPL/+dyqdPP0j7FqUbRH2lphx7AA0jItiXULSf9yUk0iiifPt51IB+/P72ND559AFufenVyo5YyD+wFvmZBwtv52ceJKB+6V6A9RrWp82FHWgxujW1w+sULTDQ5sL2dLyqK5l7MnzfSwUIqF88c0HmQQICSw+dq9cwkNYXd6L52LalMre+qBMdru5G5p70Su+lAu5GkQOp3ue3eKJL1Nfo4MOXuXPcFKbOfK3MBrXJZ97ATw/MYNTJI3nD02ulsgUE1SU/o+h/mZ+eg39Q3WJl/IPqEty+Mckri59ra4UFUpCdR8zo3rS6+jRizupV5T1VagUFcjAto/D2wfQMAoIDi5UJCAokpGMbEpetrtJs3lJTEwgPa1B4OyysASlpCcXKHIjfTVZ2Os+8dD2PPHUZvy92NwQkJMYSFBjKux89wsNPTuC9jx8nLy/H55kbN27Mnj17Cm/v3buXxo0blyo3efJkvvvuOw4cKN1jtH///qxatYpZs2bRqVOnSs8YFRJNQmrR60VCWhxRJY6/qOBoEtK8y8QTFVy8zPBup/PLqqJroB1x2xjYyd0hfthJpxId2gCR8lCjihyvcqy13a21HYAzgA+NMYc+droI+Nxa6wK+BsYfaUPGmN5AgrV2F/AzcLIxpuRHi08Cd1K+Y2KhJ+OhH9++06uRil80uhtOVpRqOAlq24SCrFxy95fovluFyvpM8/jsGlk6aXk/7fbz86drhyH8uW5uZYUq5mj2ZdHh7FWGwz+POgG1uWHk5bz8wzvHmO5olM5RMm/Lhm14bfJHPHvtm5zR+2xe+PIRADJzMlixeRGv3vQBb9zyKXn5uSxc+7PvI5dzf5a0Zss2el50LcOvuZV3vvmB9x+7rzLTHVHNOfYOU2/LGXbWH4sZeO1NXPHIk9xz+YTKinZUSibNScjmrw/Xs/WLTSStTaD5mS2LFd76xV9sen89daPrFW+88JWjqAw58Vls/mAN2z7bQNLqeJqd5dVLwcK2zzfw13trqNugvk8yl10HjqIMlsGdBpKSmcLGvX+VWg7w2o9vcsZjZzNr5WwuGnR+peQ9KiXyNzytO3G/rCn9xByGug3DSFm5je3vzMV1sICoAR2rLieUea4rmb/xmcPYN2dhtZ5Iyjr/mhIV3OVysmv3Jm6dNJXbbn6V7398hwNxu3C6nOza8xfDBp/Pw/d9Qu1adfhhzvs+z3w057dGjRoxfvx4Xn21dIPwypUrad68Od27d+fVV1/l22+/9UXKv81YZhmv/4e/nz8DOw1l3tqiaRCf/fJRxvW/gP/c/DH1atcjv6Bqe2BVB5etmT/HK82pIsc9a+0izwSyUcaYhkBbYK7n5F8L2A5MO8ImLgY6GGN2em4HA+fh7gFz6DG2GmNWARd4rbee4vO4lJsx5jrgOoD//Oc/XHfddceyueNafkY2ASFFPVP8g+sV+zQMoG6jCJqe596lfvVqE9S2Mdblol7jKILbNyWobROMvx9+tQNoMm4Qe7/9rcryJ6bHExlS9MlEZHADktMTjrBG9UhNjycspKg7bmhwNGkZ5cvZqe1A9uzfREaWbxqxDqQm0DCsqPdMg9Ao4tOK9/Q4kBJfrEzD0Cji0w4/2WGzyMY0iWjEjHveKyz/9V3vMP7560jMqNznER4USZLXPk1OTyQssHhvhHpecyH0aNOHd356jfTsNDbsWk1UaEOC64cC0Kf9QDbv3cDgriMqNSPAxHGjuPSs0wBYtWkrjaOLevo0iozkQOLR75fM7KJPQX9esoKnb72e8OCgwglWfel4P/auGjOKS89w7+c/N28lJqpoP8dERXIguWL1b/G6DTRv1NBn+7lkL4+AwFoUZBV/o3BouAxAxq50YoY0wa+OH85cZ1GZg06y9mUS1CyYvGTfzuuQXyKzf2At8o+QOXNXGsbRDL86/jhzi4aGuQ46yYrNILB5SKVnjkuNp2Go9/ktmoQS9TUurYwyaYmc2m04QzsPZlDHAdTyr0X9OvV5YsLD3P/Jw8XW/3HlHF695gXemP1fKlt+Rg4BQfUKbwcE16Ugs3gviLqNwmhyTn8A/OrVIqhNI6zLRU5sMvnpOeTsc9f59E17iRzQodIzHsnB9AxqhRQNhakVHER+RmaxMvUaN6TF+LMA8K9Xl+C2rdzDyTYVn4fHl8JCo0lOKeotkZISR2iJ3phhodEE1g+ldu261K5dl3ZterAndgvtWncnLDSa1i27ANDr5BHMmv2BT3JOmjSJa6+9FoBly5bRtGlRL8UmTZqwb1/x+e969OhBmzZt2LrVvS/r1avHli1baNu2LRkZReexH3/8kddff52IiAiSkipvIuOEtDiivHqRRIU0ILHEhM4J6XFEhXiXiS5Wpm/7gWyO3URKZtG5e3fCTu58xz2/VZPIZvTrUHzIssjfUU8VOe4ZYzoAfkAS7gaSh621LTw/MUBjY0zzw6zrwN2T5aRD6wBnU/ZcLE8Ad3jd/hQYYIw5y2t7Zxhjuh5tdmvtW9baXtbaXv/kBhWAnNhEaocHExAaiHE4COnckozNe4uV2fzq12x+5Ss2v/IV6Rt2sW/WEjL+2kPcLyv5a+p0Nr/yFXu/mk/mjv1V2qACsHnvemIim9EgLAZ/P3+GdBvJ4o3zqjTD0dgdu56oiKZEhMXg5+dPz64jWbtp/t+v6KXnSWf4bOgPwNrdm2gR1YQmEY0I8PPnrJ4j+GVt8f/nL+t+Z1yfMwDo1qITGbmZJKQf/sJr8/7tDLhvLCMevoARD1/AgdQEzn326kpvUAFoHdOeA8mxxKceoMCZzx8b5tGzXfHJ+lIzkws/HdsauwlrXQTVDSYiOJqtsRvJy8/FWsu6natoHNms0jMCvPftLEZcO4UR107hx98XM/509ySuPTu2IyMri/jklL/ZQpGosNDCv3t0aIvDOKqkQQWO/2Pv3e9nMfymKQy/aQo/LlrMBSM8+7lDO9LLuZ9bNipqEO3aphW1/P19tp+z47OpHVKbgKBaGIchpG0Y6TuLTxzuX6/os7W60fXAGJy5Tvzq+OOo5R7WYfwMgU2CSk0W6ws5cVnUDq1DQLAnc7twMnakHj5zg/pgwJlbUDpz02AO+iDz+j0baRbVlJjwRvj7+TOyx2nMX7ewWJn56xYyutcoALo270xmbiaJGUm8+sMbjHx0LKMeP4d7PnqAZVuWFzaoNIssejM7tPNgdsTvwhdy9iVTKzyQgJD67tfqTs3I2Fz8jfOWabPYMu0Htkz7gfSNe9n/00oyNu+jICuX/PRsaoW7GzXqt2hAXkLZ81/5SnbsAWqHh1IrNBjj5yCsa3vSNhXvKLzhpf8W/qRu2Mzemf+r0gYVgJbNOxEXv5uExFgKCvJZsmIu3U8qPvdOj5OGsmXbnzidBeQdzGXHznU0atiCkJBIwsMasN8z+fGGTcuIadSyjEc5dq+//jo9evSgR48efPvtt1x++eUA9O3bl7S0tFJDfGbNmkWjRo1o2bIlLVu2JDs7m7Zt2wLQoEFRQ0bv3r1xOByV2qAC8NfeDTSJaEpDz+vF8G6n88fG4tdAf2xYwMie7kv3Ts26kJWbWWwI74juI/l59U/F1gmt7+7AbozhsuFX893iryo1t/zzqaeKHK/qenqOgLsf3xXWWqcx5iLgzBJlv8E9JGgJMMIY4/1OfhoQa62N9bpvAdDJGNPIeyPW2vXGmJXAyZ7bOcaY0cBUY8xU3F+pvAb4FxCBZ04Vr008bq2dXtEnXF633XYbS5cuJSUlhSFDhnDzzTczfvwRR0L5lrXs+3EJLSacijEOUlZtIS8hlbCe7QBIKWMeleOJy+Xkje+e4fGrXsdhHMxZPoPd8dsZ1cfdBXvW0umEBUbw8uRPqFe7Pi5rGTdwAte/dB45Vfi1ey6Xky9nPsOkK6ZhHA4Wr/iOA/HbGdj7PAB+X/YVQYER3Hnjx9SpXR9rLcMGXMKTr5xPbl4WAQF16NCmL5/PeMJnGZ0uJ49++RL/nfQCfsbBV4t/YOuBnVw00D3p3ue/z2D++kUM7dSPuQ9+Tk5+Lvd9XPQ1hy9c+RB92vQgLDCE+Y9+xauz3mW6Z6x5VfBz+DFx5E08+dl9uFwuTul2Ok2jWjB3hfury0/rOZrFGxfyv5UzcTj8qOVfm1vOuRdjDG0bd6Bvh8Hc+85NOBx+tGjQhhE9Sp6yKt//Fq9gRN9eLPn4TXLy8vjXM0Vdsz956gFue34acUnJXHPuaG666Byiw8P49Z1X+HnJCm57/jXGDB3AFWefidPpJDfvINc/9rzPMx9SU449gP8tXcGpvXux9N03yc7L418vFu3nTx99gClTpxGXnMw1Z49m8vnu/TzvjVf437IV3Db1NUYPGsD4U0+hoKCA3IMHue6p53wX1sK+hXtpObY1GEPKxiTyknMJ7+zudZW8PomQ1qGEd4nEusAWuNgzZycAAfX9aTKiORiDMZC2NZWMXVXw5tnCvvm7aTG2HcYBKRvcmcO6uOdDSFmXQHCbMMK7RGOtdWf+yf3NRf71A2hyWkv36BBjSNuSTEaJRqTK4HQ5efrr53njupdxOBzMWDqTbXE7OL//OQBMX/QNCzf+waCOA/j+vunk5ufy0Gd//61at4yeRIuoZrisZX/KAZ6Y/kylZwfAWvbPXknzi4dgHIaU1TvIS0wn7GT3tHApK488kvnAnD9pMq4vxuHgYGoWsTPL/jpjn3FZ9v7wC60vPw/jcJC0ch25CUlE9HJ/3XDS8jVVm+cw/Pz8ufTCu3jxtVtwuZwM6j+WxjGt+XWB+836KUPOI6ZRS7p0GsCDT1yCwxgGDzybJjHu4WwTLriDt957EGdBPlGRjbnq8gd9nnnWrFmMGjWKrVu3kp2dzcSJEwuX/fDDD1xzzTXs33/4ye3PP/98brzxRgoKCsjJyeGiiy6q9IxOl5OXZzzLc1e/hsPhx4/LZrAzbjtj+7qvgb5b8hWLN/1G3/YD+eSuGeQdzOWZLx8uXL92QB16tunLC18/WWy7I7qfwbj+7mvohet+5cflxSeSFvk7xpczz4tIMTXqYFv3qG+6mvrSXTlTqztCubX2q5pv1agsc9Lq/32h48znvT+q7gjldsZ7/6ruCOXSs9/u6o5Qbsv/9E0PIl/6eczD1R2hXIzL+feFjjOX7phc3RHK7ZOI26o7QrkczNvz94WOM9lDr63uCOUy6NTj59shj9bQu06u7gjlNu+ZFTXrIs7LivjUGvW+5JCe0aHH5T7X8B8RERERERERkQpQo4qIiIiIiIiISAWoUUVEREREREREpAI0Ua2IiIiIiIjICcLa43JqkhpLPVVERERERERERCpAjSoiIiIiIiIiIhWg4T8iIiIiIiIiJwhbI79Q+filnioiIiIiIiIiIhWgRhURERERERERkQpQo4qIiIiIiIiISAVoThURERERERGRE4R1VXeCfxb1VBERERERERERqQA1qoiIiIiIiIiIVICG/4iIiIiIiIicIPSVypVLPVVEREREREREpMYzxpxhjPnLGLPVGHNPGctDjDHfG2NWG2PWG2MmHutjqlFFRERERERERGo0Y4wfMA04E+gEXGyM6VSi2E3ABmttN2AY8IIxptaxPK4aVURERERERESkpusDbLXWbrfWHgQ+B84uUcYCQcYYAwQCyUDBsTyo5lQREREREREROUFYa6o7QoUYY64DrvO66y1r7VtetxsDe7xu7wX6ltjMa8B3wD4gCLjQ2mP7kmljNUuNSJVY9+gHNepg6/LgFdUdodwm/btHdUcot5wadg52VneACqiJmetWd4ByCjF+1R2h3Ha7al7NaOMIqO4I5XKQY7pGrRa1amAn7uUFNasud6iBH+kGUrPOcR/sjqzuCOXWOSauuiOU29ynV9bMlglg8d70mnUB6tGvSfAR97kxZjww0lp7jef2ZUAfa+3NXmXOBwYCtwGtgblAN2ttekVz1bxXDhERERERERGR4vYCTb1uN8HdI8XbROBr67YV2AF0OJYHVaOKiIiIiIiIiNR0y4C2xpiWnslnL8I91MfbbmAEgDGmAdAe2H4sD1oDO+CJiIiIiIiISEUc2wwixy9rbYExZjIwG/AD3rXWrjfG3OBZ/ibwGPC+MWYtYIC7rbWJx/K4alQRERERERERkRrPWjsLmFXivje9/t4HnF6Zj6nhPyIiIiIiIiIiFaCeKiIiIiIiIiInihr53T/HL/VUERERERERERGpADWqiIiIiIiIiIhUgBpVREREREREREQqQHOqiIiIiIiIiJwgrDXVHeEfRT1VREREREREREQqQI0qIiIiIiIiIiIVoOE/IiIiIiIiIicI66ruBP8s6qkiIiIiIiIiIlIBalQREREREREREakANaqIiIiIiIiIiFSA5lQREREREREROVHY6g7wz6JGleOMMcYJrAUM4AQmW2v/8Fo+BXgKaGCtTfPcNwy4w1o7+jDbXA1ssNZe7HXf+8BpQCtrbZ4xJhJYbq1t4VneDpgKtAPyPZluBjoCM4AdXg9xh7X2f3/zfA4ZB7TwbGM7UBeYaa29w1P+SuA5INZrnUustRuMMZ2BV4EmgB/wMfCItdZljHkYyLTWPu/12DuBXtbaxDJyfG6tfdoYMw8ItNb28qzTC3jeWjvMc7sP8DzQAPfp5zfgO+BeYIC11hpj/IAVwCTv/1VlCGwdQ6ORfcBhSPlzC4m/ryuzXN2YCFpdNYo9Xy0gfeOuogXG0Pqas8jPyGb3579UZrQKuffee5k3bx4RERHMnDmzuuMA0KntAMaPuhPjcPDHim+Zs+C9YssbRLbgsnMfoWlMB76f+xr/+/0jAKIjm3P1hc8UlosMa8zMn9/g10Wf+jxzl7YDuOSsu3A4HCxY/g2zSmRuGNmCq897hOYxHfl67mv89NuHhcueu2MWuXlZuKwLp6uAR1+f4PO8XdsO4FJP3vnLv2FmibyNIltwrSfv9Lmv8aNXXgBjHDw66VNS0uN58aNbfJ4X4KS2A7jMk3ne8m/4vozM15/3CC1iOvJ/c19jVhmZH/dkfr4KMnduO4CLPXkXLv+GH8uoExPPe4RmMR35Zu5rzPHK+7RXnXC5Cni8CuoEQPu2/Rk36g4cDj+WrPiWXxa8X2x5dGQLLjz3IZrEdODHua8zz3PsAQwZcAl9e47DYjkQt5XPv36EgoKDPs/cve0AJo527+efl33DtyX2c0xUC2467xFaxnTkszmv8b1nP0eENGDy+McJDYzAWsv/ln3FrD98f65o17Y/o0fdjsPhYNmKGcxf8EGx5VGRzTn/3AeJienAnLlvsPD3jwuXDeh/Eb17jcNgWLb8W35f9JnP80LNrBc1YT/3ajeASWPuwGH8+HHZN3wx//1SZSaNuZM+7QeRl5/Lc18+xNZ9mwA4Z+DFnNn7HIwxzFr6Dd/87q67V5x2IwM6DcNaF6mZyTz35UMkZST6JH/HtgM4z1MvFq34hrkl6kWDyBZMOPdhmsR0YObcafzi9Vo98cKnC8tFhDVm1s9vMq8KXqtrQr0AeOzSGxjerTc5eXlMefsF1u7aVqpM08gGvHHTPYTWD2Ldrq3c/Obz5DsL6N+hK+/d+hB7Eg4AMGv5H7w041NaN2zMmzfdW7h+s+hGPPf1R/x39rfHnNcXdfmQ8wdfxvVnTeG8R4eTnp16zFnlxKFGleNPjrW2O4AxZiTuBpShXssvBpYB5wDv/93GjDEdcQ/zGmKMqW+tzfJa7ASuAt4osU4d4AfgNmvt9577TgGiPEUWHq4B50jPx2v7LQ5twxhTF/jTGPONtfZ3T5EvrLWTS6xTF3djxo3W2jnGmHrAV8C/gJcqksNLtDHmTGvtjyUeswHwJXCRtXaRMcYA5wFLgF3A1cB/cTc2LavsBhWMIebMfuz4eA4F6dm0uuYsMv7aQ15iWqlyDUb0JHPbvlKbiOjbkbzENBy1Ayo1WkWde+65XHrppdx9993VHQVwv/G9cMw9vPLejaSmx3H3DZ+wZuN8DiRsLyyTlZPGlz88Q7eOpxRbNz5xF09Nu6hwO0/eNZvVG3+tksyXjbmX59+7geT0OB688RNWbZzPvhKZP535LD06nVLmNp5551oyq+hiwRgHl4+5l2c9eR+58RNWlsibmZPGRzOfpedh8o4ccAn7EnZQt3b9Kst85Zh7ecqT+TFP5tgS+/jDI2Q+owozG+Ngwph7efG9G0hJj+Pfnjqxv0Tez45QJ56vwjoB7sznjrmH/7w3ibT0OG694SPWb5xPXEJRe312Thrf/vAcXToOK7ZucFAUg/pfxLMvj6egII/LLnyaHl1HsuzP732a2WEcXD32Xh57110vnpr0Ccs3zWdvvFddzk7j3e+fpU+J/ex0Oflw1gvs2LeJOrXq8czkz1izdXGxdSubMQ7GjrmLd96bTHp6HDfd8AEbNy4gvtg+Tuf7H16gU8ehxdZtEN2a3r3G8fqbV+B0FjDxilfYtPk3kpL2+Czvocw1rV7UhP3sMA5uPvtu7n5nEolpcbw2+WMWbZzP7viijH3aD6RxZDOufP5sOjbtyi3j7uWW16+gRYPWnNn7HG6edjn5znyemvgaSzctJDZpD18u+JAP5rovIccNuIhLR1zHy98+WanZwb2Px4+5m2nvTSI1PY47b/iYtRvnc8BrH2flpDH9h2c5qYzX6memXVy4ncfv+qnKXquP93oBMPyk3rRsEMPAO6/m5NYdeOrKyYx+ZEqpcvdfeBVv//QtM5bM5+krJ3Px0JF8+MsPACzZvI4rXny4WPltB2I57QH3pbzDOFj58kf8uPzYL5N9VZcBokIa0LNtP+JS9h9zTjnxaE6V41swkHLohjGmNRAI/Bt348rRuAT4CJgDjC2xbCowxRhTsnHtEmDRoQYVAGvtr9basrtJHANrbQ6wCmj8N0UvAX631s7xrJcNTAburIQYz+HepyXdBHxgrV3keUxrrZ1urY0DpgD3enrPTAYqvZWgbuNI8lLSyU/NxLpcpK3fQVD7pqXKRfTpQPrGXRRk5Ra73z+oHkFtm5Dy55bKjlZhvXv3JiQkpLpjFGrRpAsJSXtISonF6SxgxdrZdCtxoZ6ZlcKu2A04XQWH3U6H1n1ITN5LcqrvX4hbNelCfPIeEjyZl66ZTY8SmTOyUtgRux6n8/CZq0rrEnkXr5nNyeXIGxYcTbf2g5m3/OsqSuzOHFcic88SmdOzUth+mMzhwdF0bz+YX6soc0vPPk70qhPdy9jHO4+TOgHQrElnkpL2kOzJ/OfaOXQu49jbc5hjz8/hR0BAbRwOP2oF1CEtI8Hnmds06cKBpD3Ep8RS4Czg9zWz6VVGvdgWu56CEplTMxLZ4fmkNPdgNrHx2wkPjvZp3qaefZzi2cer186lY4k3b1lZKewtYx9HRbVgz5615Ofn4XI52bFjZan/jy/UxHpRE/Zz+6Zd2Je0lwPJ7ro7b/VsBnQq/jj9Ow3jfyvdPUg37llLYN0gwoMiaRbdkk171pKXn4vL5WTNjhUM7DwcgOy8os/p6tSqi/XReILmTbqQmLS32Gt11zLqxe6/ea1u73mtTqmC1+qaUC8ARp7cj+m//wzAym2bCKkXSHRIWKlygzp1Y+ayhQB8+dv/OKNn/6N+jMGdu7Mrfj+xSfHHnNdXdRnghtG38/aPU31Wj+WfTY0qx5+6xphVxphNuHtBPOa17GLgM2Ah0N4YczRXZBcCX3jWK9kQsxv3cJbLStzfBfdwlsMZ7Ml46Kf1EcrW9Sr3TcmFxpgwoC2wwDtzie3XBTqXzGSt3ebZfugRHr+sHKuMMRd6LVsE5Hl643g77H6w1u7H3Si1CHjcWpt8FBnKJSCoHvlpRRcsBenZBAQV/9TbP6gewR2akbxic6n1G43szYH/LQerF4fDCQ2OJiUtrvB2SnocIcFRR1ijbD27jmT5mp8qM9phhQVHk5x2oPB2cnocYSFH/+bMWssdE9/goUmfMrT3eb6IWExYcDRJx5B3wll38sVPU7FVWI/DjzHzZWfdyWdVmDksOJoUr7wpFagTUya+wQOTPmVIFdQJgJDgaFK9jr20chx76RkJzPvtYx644wceuns2uXmZbN662FdRC4WHlKgXaXFEVKBhJCo0hpYxHdiyZ+3fFz4GwcFRpHnt4/Ry7OO4+G20bNGDenVDCAioTft2AwgJaeCrqIVqYr2oCfs5MjiKBK+6m5gWT2SJuhsZHE18alyJMlHsPLCNri1OJqheCLUD6tCn/SCiQosyTjz9Jj65ZxbDu59Z2GulsoUGRxU7x6WmxxNagWPv5K4jWbFmdmVGO6yaUC8AGoZHsC+5aMjWvuREGoZHFisTHhhMWnYWTpcLgP3JiTQMiyhc3rNNR+Y+Po2Pb3+Udo2blXqMs/sN5dvF8yslr6/qcv+OQ0hKj2f7/uPng0hfs66a+XO80vCf44/38J/+wIfGmC7WfXV+EXCOZw6Rr4HxwLTDbcgY0xtIsNbuMsbsBd41xoRZa1O8ij2Je1jND+XIeEzDfzwGG2PWAO2Bp621B7yWlTX8x1D2lErG8/tw714O3X+k4T8Aj+PurVKeHifTcGd//3AFjDHXAdcBPDjmSsb3GlaOzZel+NN0N5ysKNVwEtS2CQVZueTuT6Z+c99fCP+jlPN9sJ+fPyd1GMqMOa/6Jk9JxpS6qzxv3p9860pSMxIIqh/GHRPfZH/CDjbvXFmZCYsrI+/RNvR1bz/Y3cNi30Y6tOxVycGO4Bj2cY/2g0nzZO5YVZmPsU48/daVpHnqxG2eOrHFl3UCKDp1eznKzHXrBNG541CeeGEMObmZXHHRM5zc7UxWrv7x71c+JmXs53KeMOrUqssdE57nvR+eIycv6+9XOCYVrxcJCTuZv/BDrpr4GgcPZrP/wBZcLmdlByzDP6ReHGf72ZR1jihRd8s8VQO7E3bwxfz3eebq18k5mMP2/ZtxemV8b8403pszjYuGTeTs/hfx4f/erOz4HMs+PsTPz5+uHYbwfVW9VteAegFgjibnEV5j1u7cRp8pV5Cdl8vwk3rz7r8eZNBd1xSWC/Dz5/QefXny/94rtY0K5fVBXa4dUIeLT7mae965qVIyyolJjSrHMc88HpFAlDGmIe4eHXM9J5RauCd6PWyjCu6eKR08E7aCezjRebh7wBx6jK3GmFXABV7rraf4PC6+cGhOlXbAb545VVYdofx6YIj3HcaYVkCitTbVGJMENCqxThCQejRhrLW/GGMeA/qVeMyeuCfVLWsdlzHmiK+Q1tq3gLcA1j36QbmuAPIzsgkIKeqZ4h9cj/yM7GJl6jaKoOl57n+VX73aBLVtjHW5qNc4iuD2TQlq2wTj74df7QCajBvE3m9/K0+Ef7zU9HjCvD79CQtuUO7u4p3bDmLP/k1kZFV6Z6UypaTFER7SsPB2eHADUtOPPnOq5/llZKWwcsOvtGrSxaeNKilpcUSUyJtylHnbNu9Ojw5DOandIAL8a1G3dn2uH/8E//nyfl/FBTw9ECq4j9s1707PDkPp7pX5xvFP8IYPM6ekxRHmlTesnHUizatO/LnhV1o26eLzRpW09DhCvY69kOAGpB3lBJdtW/clOSWWLM8cMGs2/EKLZt18/ua5VL0IaUByOfazn8Of2y95gYWrZrF0ve8nDk9Pjy/26XZwcAPSyzGJ6PIV37F8xXcAnH7aJNLTjr3r/t+pifWiJuznhLR4orzqbmRINEkl6m5CWjzRoQ1Yv6t0mZ+Wz+Cn5e5LoatGTibBqwfGIb+s+onHr3zZJ40q7tfqovyhwdHlfq3u1HZglb5WH8/14soRo5kw7AwAVu3YTIxXz5SY8EjiUpKKlU/OSCOkXn38HA6cLheNwiOJS3Xvx8zcouvSX9Ys4ym/mwgPDCY5Mx2A4d16sXbnNhLTUysluy/qcqPwJjQMb8x/bv0cgKjgaN645RMmv3Y5KZnF94XI4Wj4z3HMGNMB97fcJOFuIHnYWtvC8xMDNDbGND/Mug7cPVlOOrQOcDZlz8XyBHCH1+1PgQHGmLO8tneGMaZrZTwvb9bazbgn4/27HiKfAIOMMad68tQFXgEe8ixfAIw1xgR5lp8LrLbWlqdp/wngLq/brwFXGGP6HrrDGHOpp4HL53JiE6kdHkxAaCDG4SCkc0syNu8tVmbzq1+z+ZWv2PzKV6Rv2MW+WUvI+GsPcb+s5K+p09n8ylfs/Wo+mTv2q0GlDLti1xMd0YyIsBj8/Pzp2XUkazbNK9c2ep10BsuqaOgPwA5P5khP5j4njeTPTUfXrbZWQB3q1KpX+HeXNv3ZG7fVl3HZHrueBl55+5Uj75dzXuXWZ0dy+/OjeP2Le9i4fZnPG1TAnblhRDOivDKvOMrMX8x5lZufHcmtz4/itS/uYcP2ZT5tUAHYWWIf9zlpJKvLUSdqe9WJTm36E+vjOgGwJ3YDkRFNCfdk7tH1dNYfZebUtAM0b9KVgIA6ALRt3afY5I++sjV2PY0imxEdFoO/nz8DTxrJ8o1H36X9xnMfIjZhBzO9vuHDl/bGbiAyohlhnn3cretpbNy04O9X9Khf3z2vQkhIAzp3OoVVVTBsoibWi5qwn//au57GEU1p6Km7w7qNZNGG4vt10Yb5nHqyuxNyx6ZdycrNJNnTCBDqyRgV0pCBnU/h19Xu17zGEUXzvPXvNIQ9CTsrPTvA7tj1REU0LfZavfYo68UhPU86o8qG/sDxXS/e/3kmpz0wmdMemMxPKxZx/sARAJzcugPp2VnEp6WUWuf3jWsY3XswAOMHncrslYsAiPKaf6V7q3Y4HKawQQVgXL9hfLt4XqVl90Vd3hm3lQseP5XLnhnNZc+MJiE9nhtfmfDPb1Cxpmb+HKfUU+X4U9fTcwTcfQevsNY6jTEXAWeWKPsN7iFBS4ARniE+h0wDYq213l9NvADoZIwp1qPDWrveGLMSONlzO8cYMxqYaoyZivsrldfg/qadCDxzqnht4nFr7fSKPmHgTeAOY0xLz+0LjTGDvJZPstb+YYwZC7xqjHkd98S2j1trP/FkXmOMeQ13rxcLxAPXeG2jbonMP1lr7/EOYa2dZYxJ8Lod59nvz3vmr3Hh3odVM/uktez7cQktJpyKMQ5SVm0hLyGVsJ7tAEgpYx6V491tt93G0qVLSUlJYciQIdx8882MHz++2vK4XE6+mPkMk694HYfDwaIVM9gfv53Bvc8HYOGy6QQHRnD3jZ9Qp3Z9rLWcMmACj71yHrl5WQQE1KFDm758OuPxKs38yfdPc/uVb+AwDhaunMG++G0M6+POPG+pO/NDkz6lrifzaQMmcP/L5xJUL5TJE14E3J+aL17zI+u2VO6XVpWV98Pvn+auK9/AGAcLVs4gNn4bp3jy/rp0OiGBETziyeuylpEDJnDPy+eS6/PhEYfP/P73T3O3Zx/P92Qe4cn8syfz416ZzxwwgbtePrcKhnSUnffT75/mVk/e3z11Yqgn73xPnfi3V504dcAEHnz5XALrhXKTp044HP4sXfMj631cJw5l/nrms1x3xWsYhx9LV8wgLn47/T1zuixa9hVBgRHceuNHhcfe4AEX8+wr49m9dx1r1v/MbZM+wekqIHb/Xyxa5vvTssvl5J3vnub+ie79/OuKGeyN38Zpnv08d+l0QgMjePqmov181sAJTJl6Ls0btmXoyWPYtX8zz03+AoBP57zKn5t919jtcjn5buazXHXFKxiHH8tXfEd8/Hb69D4XgKXLviYwMILJN35AbU/egQMu4qVXLiQvL4sJFz9DvXohuJwFfPf9s+TmZvgsq3fmmlgvjvf97HI5ee27Z3jqqmk4HA5mL/+OXfHbGd3XvV9nLvmKpX/9Rt8Og/jgzhnk5efy/JcPF67/4KXPE1wvhAJXAa/NeIbMHHfGq8+8hSaRzbHWEpe6n5e/eaLSsx/K/+XMZ5h0xTSMw8HiFd9xIH47Az314ndPvbjzxo8L68WwAZfw5CvnF3ut/nyGb/IdLvPxXi8Afl69jBHdevPHc++SczCXKf8t+kLNj25/lDvemUpcajJPfPEub0y6h7vOv5x1u7bx2fw5AIzuPYjLh59FgctJ7sGD3Dit6Our69aqzeAuPbjrvVcqLa+v6rLIsTJVOfmfSGUxxowDXgROsdbuquY4R6W8w3+qW5cHr6juCOU26d89qjtCueXUsHNwVcyqUNlqYua61R2gnEKMX3VHKLfdVTJHSOVq4wio7gjlcpDjeFbBw6hVAztxLy+oWXW5Qw38SDeQmnWO+2B35N8XOs50jik9rOx4N/fplcdv14m/8dvmzJp1AeoxqF3gcbnPa94rhwhgrf3WWtuqpjSoiIiIiIiIyD9PDWwrluONMSYC+LmMRSOstf/wAYkiIiIiIiI1x/H89cQ1kRpV5Jh5Gk66V3cOERERERERkaqk4T8iIiIiIiIiIhWgRhURERERERERkQrQ8B8RERERERGRE0WN/O6f45d6qoiIiIiIiIiIVIAaVUREREREREREKkDDf0REREREREROFPpK5UqlnioiIiIiIiIiIhWgRhURERERERERkQpQo4qIiIiIiIiISAVoThURERERERGRE4XmVKlU6qkiIiIiIiIiIlIBalQREREREREREakADf8REREREREROUFYW90J/lnUU0VEREREREREpALUqCIiIiIiIiIiUgEa/iNSRe7KmVrdEcqlxb+nVneEcnv98T+rO0K5rUtJre4I5ZK8p+a9bFx8wTnVHaHcPn/3m+qOUC7mYM3rRxyyfmt1Ryi3Mx67trojlE/94OpOUG6zltasYw/g9Bfur+4I5RIddn51Ryi3m+LvqO4I5XJf09zqjlBuc62+jkZqrpp3dSwiIiIiIiIiFaM2rEql4T8iIiIiIiIiIhWgRhURERERERERkQpQo4qIiIiIiIiISAVoThURERERERGRE4XmVKlU6qkiIiIiIiIiIlIBalQREREREREREakADf8REREREREROVHY6g7wz6KeKiIiIiIiIiIiFaBGFRERERERERGRClCjioiIiIiIiIhIBWhOFREREREREZEThb5SuVKpp4qIiIiIiIiISAWoUUVEREREREREpAI0/EdERERERETkBGE0/KdSqaeKiIiIiIiIiEgFqKeK+JwxxgmsxV3fNgJXANHATGttF69yDwOZ1trnjTHvA0OBNMAAt1lrf/aU6wM8DzQALPAbcAtwAdDLWjvZa5vzgDustcs9t3sAK4EzrLWzvcrdD1wCOHFP3XS9tXaJZ/1GQI6n6FZr7fnGmPbAf4BQoDaw0Fp7XSXsrsPq2W4A14++E4fDwexl3/Ll/PeKLW8S1YIp5z9Cm5gOfDDnNb5e+JEv45SpU9sBjB91J8bh4I8V3zJnQfGMDSJbcNm5j9A0pgPfz32N//3uzhgd2ZyrL3ymsFxkWGNm/vwGvy76tErzl3Tvvfcyb948IiIimDlzZrVm8fbnokW8+9KLuFwuRowdy7mXX1FseVZmJi8/9BCJcQdwOp2cPWECw0ePAeCGceOoW78eDocDPz8/nn3/A5/nXffnH3z+3vO4XE4GjxjHmedMLLZ89owPWbzwRwBcLif79+7gpXf+R63adXj2wWspKDiI0+mkZ78RnH3hDT7Pe8ij909i+JA+5OTmMeXe51i3YWupMq8+dw/durQjP7+AVWv/4u6HplJQ4Cxc3q1LO77/4hVuvO0Jfpi90GdZ1639g88+9ezjIeMYddbEUmU2bVrOF5++gNNZQGBQKHfd8zYA/5vzKQsWfAvWMnjoOZx2+iU+y+lt7bo/+Oz/nse6XAweNI5RZ1xZOvNfy/n8/150Zw4M5e473uLAgZ28+fZ9hWUSEmMZN+Z6TjvV97kDmwURM6gJOAwpG5JIWBlXbHn9mECaj2rFwYw8ANK3pRG//ADGz9DqnLYYPwfGAWnbUolfesDnecvy6ON3MHzEQHJycpnyr4dZt/avUmWef/EBunXrCMawY/tubr3lYbKzc8rYmo8yPngzw4f1dWe86xnWrd9SqsyrL95Pt67tyC9wsmr1Ju7+9wsUFDjp37cb7/7ncfbsce/fWbMXMvW1D32ad9XiRbw39UVcThcjxoxlXIlzcnZmJq888hBJnnPymIsncIrnnAzgcjq556orCY+K4p7nX/RpVoDwtp1oO/p8cDjYv+x3di+YW2x5ZMeTaHnqaKy1WJeTrT98RdqubUUFjKHXTXeTl57K2g/f9HnekgJbhNPwlLZgIHXdfhKX7i62vF6TUJqN68rBNHedzdiSSMLinT7P1addfyaPvQM/48cPy77l03nvlypz89g76dd+ILn5uTz9fw+zZd8mmkY256EJTxWWaRTemPfmvsn03z6jdaO23HbOfdStVY8DKft4/PN/k52X5ZP8zdr2ZvBZkzEOPzYs/4GVCz4rtrxdt1M5echFAOTn5TDvu6kkHXDXi8vv+Iz8vGxc1oV1Ofm/16vmtbpH2wFcO/ouHA4Hc5d9w1clrjsbR7XglvMeoXVMRz6e8xrf/uY+F0SGNODW8Y8TGhiBtZbZy75i5h/Ve80pNZsaVaQq5FhruwMYYz4BbgC+Por17rTWTjfGnAK8BbQ1xjQAvgQustYuMsYY4Dwg6CizXIy7EeZiYLYnU39gNHCytTbPGBMJ1PJaZ8KhRhkvrwAvWWtneLbR9Sgfv0IcxsGksfdw/zs3kpgex9SbPmHxxvnsid9eWCYjO403v3+G/p1O8WWUwzLGwYVj7uGV924kNT2Ou2/4hDUb53MgoShjVk4aX/7wDN06Fs8Yn7iLp6ZdVLidJ++azeqNv1Zp/rKce+65XHrppdx9993VHaWQ0+nk7eef48FXXiUiOpq7J15J78GDadqyVWGZn6ZPp2nLltz3wgukpaRwy4UXMHjkGQQEBADwyLTXCQ4NrZK8LqeTT995mikPvE5YeAOeuPcyuvUaSkzTorwjz76ckWdfDsDq5QuYO/MT6geFYK3l9ofepE7dehQU5PPsA1fTpcdAWrfz6eEGwPAhfWjZvDGDRl7Jyd068tRDtzDmwltKlfvm+1+4+c6nAZj2wn1ccv6ZfPi5uwHO4XBw/x3XMO+3FT7N6nI5+eSjp7ntDvc+fvzRy+jefSgxjYv2cXZ2Bp989DS33vYqERGNSE9PBiB271YWLPiW+x/4AH//AKa+eDMnnTSIBg2b+T7zZ89w+63TCAtrwGNPXU73k4YQE1M888efPcOUW14lIrxhYeaGDVvw8AOfFm7n9rtH0aNHFZz3DMQMacqO77ZSkJlP6/HtSd+RRl5KbrFiWfsz2fXD9mL3Wadlx4ytuPJd4IDW57YjY1c6OXHZvs/tZfiIgbRs1ZRB/c/h5JO78NQz9zJm1JWlyj384ItkZrrfuD308BQmXnUB017zfQMswPBhfWnZojGDhl/Kyd078tSjUxhz3qRS5b757n/cfNsTAEyb+m8uueAsPvz0OwCWLlvLFdfeV2odX3A5nbzz/HP8+2X3Ofneq6+k1+DBNPE+J381nSYtWnLPcy+QnpLCvy5yn5P9PefkWf/3BY1btCAnyzdvlosxhnZjL2DVu6+Sl55Kr0l3kbhpLdnxRY18Kdv+InHjGgDqN4yh88VXs/SlxwqXNx1wCtkJB/CrXcf3eUsy0GhEO3ZOX0VBRh6tJvQiY2siecnFj6Xsvans/nZtlcVyGAf/GncPd/x3Eglpcbw5+SN+3zCfXfE7Csv0bT+QJpFNmfDcODo168KUc+5l0rQr2JO4i2tevqRwO9Pv/5GF69zXQHee9wBv/DCV1TtWcmavsVw09HLenfNGpec3xsHQMf9ixnt3kpmewAU3vsmOjX+QkrCrsEx6yn6+eftW8nIzadauD6eMu53pbxYdm9+8M4Xc7PRKz3Y4DuPg+rH38tC7N5CUHsfzkz5h6abi18aZ2Wm8/f2z9Ctxbex0OXl31gts37eJurXq8cLkz1i9dXGxdUXKQ8N/pKotBNqUc51FQGPP3zcBH1hrFwFYt+nW2rjDru3haYA5H7gSON0Yc+hqoBGQaK3N82wz0Vq772821wjYe+iGtdanr9ztmnZhX9IeDqTEUuAsYMHq2fTvOKxYmbSsFLbs3YDTWeDLKIfVokkXEpL2kJQSi9NZwIq1s+lWImNmVgq7YjfgdB0+Y4fWfUhM3kty6n4fJ/57vXv3JiQkpLpjFLN1wwYaNmlCw8aNCQgIYNBpp7FswYJiZYyBnOxsrLXk5uQQGByMn59fteTdsXU9UQ2bEtWgCf4BAfQeeDqrls87bPmlv/1En0EjATDGUKduPQCczgKczgKMqYrUMHJEf6bP+B8AK1dvJCQ4kOio8FLlflmwtPDvVWs20ahhVOHtqy49mx/m/EZScqpPs+7Yvp7o6KZERTfB3z+APn1OZ9Wf84qVWbL4R04+eTgREY0ACA52P5f9+3fQqlUXateui5+fP+3an8zKlb5v0Ny+w5M5ypO51+n8uXp+sTKLl/7Eyd1PISK8YbHM3jZsWkZ0VGMiPc/Ll+pF1+NgWh756QexLkvalhSCWx79+cGV7x7AbhwG46iiilzCyJFDmf5/swBYuXIdIcFBREdHlCp3qEEFoE7d2tgqSwgjTx3I9G/mALBy1UZCguuXfezNW1L496rVm2jUKKpUmapw6JzcoHFj/AMCGHDqaSxbWPqcnFvinOzwnJOT4uNY+cfvjBhzdpXkDW7SgpykBHJTkrBOJ3FrVhDZ8aRiZZwH8wr/9guojXcFqB0cSkSHLuxb9keV5C2pbsNgDqbmkJ+W6z4O/4ojqE1ktWTx1qFpZ2KT9rA/2X2d9svqOQzsNKxYmYGdhzJ7xQ8AbNi9jsC6gYQHFc9+cps+xCbtJS7V3cjVNKo5q3esBGD5liUM6TLcJ/kbNOlAWvI+0lP243IWsGXNL7TqOLBYmQO715OXmwlA3O4NBIZU735v26QLB5L2EOe5Nl64ZjZ9yrg23hq7noIS150pGYls37cJgJyD2eyN3054cHRVRT8+uGroz3FKjSpSZYwx/sCZuIcClccZwLeev7sAR/rY90JjzKpDP0Avr2UDgR3W2m3APGCU5/45QFNjzGZjzOvGmKEltvmJ1zaf89z3EvCLMeZHY8wUY0xoOZ9TuUQER5OYVtRulJgeR0RI9VxAHk5ocDQpXhlT0uMICS5/xp5dR7J8zU+VGe0fJTkhnsjoBoW3w6OjSUpIKFbmzPPHs3fnDq4ZfRa3TbiEq6ZMweFwn+6NgUdvuYU7r7icOd9+4/O8qcnxhEcU5Q0Lb0BqUkKZZfPycli3ahE9+44ovM/ldPLIHRdz+9Wn0fGkfrRq6/teKgANG0Syb3984e39BxJp2ODwF5D+/n6cN/ZUfl24zL1+dARnnDaIjz73/bCxlJR4wsKL7+OUlOL7OO7AbrKz03n26et49OEJ/PG7O1dM4zZs2fwnmZmp5OXlsHbN76Qk/20b9TFLTY0nPMwrc1g0qanxxcrExe0mOzuDZ1+4jkefuJQ/FpXel0uXzaZP75E+zwvgH1iL/MyDhbfzMw8SUD+gVLl6DevT5sIOtBjdmtrhXp/kG2hzYXs6XtWVzD0ZVd5LBaBhoyj27SvqkbB/fxwNG5X9RuLFqQ+yau1s2rRpwbvvfF5VEd3H3r4Sx17Dvzn2xp3Gr/OLGjh79ujE3Jn/5aN3n6Zd2xa+jEtyQjwRDYrqckRUNMklzslnnDee2F07uH7sWdx+2SVMvLXonPz+1Je49KbJVdbQVjsklNy0lMLbeWmp1A4OLVUuslM3+kx5gJOuuJFNX31ceH+b0eez9cdvwFZlU1uRgMDa5GcU9Q7Lz8jDP7B2qXJ1Y0JofVlvmp17ErUj6vk8V1RINAmpRefOhLQ4okpcp0UFR5OQ5l0mnqgS10nDu53OL6sKR6ezI24bAzu5L0uHnXQq0aEN8IX6wZFkpBUdd5npCdQ/QqNJp16j2LW56JjDWsZOfI4LJv2Hzr1H+yRjSREh0SSmFZ3PktLiiKhAw0h0aAytYjqweU/V9WySfx4N/5GqUNfTwAHunirv4O7pURbvV+nnjDHP4p5/pd9RPtYXZcypcsjFwKErw8+By4CvrbWZxpiewGDgFOALY8w91tr3PWVLDf+x1r5njJmNu8HnbOB6Y0y3Q71dKltZl1rVdD1TPuXM6Ofnz0kdhjJjzqu+yfMPUNb/3ZSoIauWLKZlu3Y8Mu11Duzdy6O33EzH7t2pVz+QJ956m/CoKNKSk3nklptp3LwFnXv08F3esirBYbqbrFm+kDYdulE/qOjTf4efHw89/xnZWRm8/tztxO7eSuNm5e3sVn4l9ymAPcJB9+SDt7Bk+VqWrlgHwCP3TeLJ5/+Ly1UVH6uUzmVK7GOn08munRu5/a43OXgwl6cen0ir1l2JiWnJGaOu4MXnJlG7Tj2aNm1X+Al61SaGkmc6l6uAXbs3cseUNziYn8eTz0ykVauuNGzQHICCgnxWr17AeedMLmtjVaLk88hJyOavD9fjyncR1DyY5me2ZPMnGwsLb/3iLxy1/Gh+Zktqh9chLzm31DZ9qWS9gMPX69tufRSHw8HjT97J2LNP5/8+/97X8YDDZTx8+ScfvZUly9awdLn7DdHa9VvoM+QisrNzGT6sL++++RiDRlzmq7hl1uWSz2H1ksU0b9uOB199nbjYvTz2r5vp0L07G1etIiQsnFYdOrJ+pW+HCR5Z6WeRuGE1iRtWE9KiDS1PG83qd18lon0X8jMzyNy3h9CWbashJ2VfEJWQG5/BlrcX4cp3EtgynKZnd2Xru0v+fsVKDlb62CqjjNe+9/fzZ2Cnobz902uF9z375aPcPPZOLh9xLX9snE9+QX6lJS4erYwde5gDr3HL7nTsOYqv3yoaEvvVWzeTlZFE3fqhnD3xeVISdrNv5xrfZC105P15NOrUqsvdE57nvz88R46P5qqRE4MaVaQqFM6pcogxJgkIK1EuHNjhdftO3HOv3AJ8APQE1nt+zyhPAGOMH+65V8Z6JqU1QIQxJsham2GtdeLuvTLPGLMW92S67x9pm54hQu8C7xpj1lFGLxpjzHXAdQCdz2hCs+4V6yqZmB5PZEjRpxORwQ1ITi/70/7qkpoeT5hXxrDgBqRllC9j57aD2LN/ExlZyZUd7x8jIjqaxPiiT7qS4+MJjyper36ZOZNzLr8cYwyNmjYlOiaG2J27aNu5M+FR7k/FQsLD6Tt0GFs3rPdpo0pYeAOSk7x6MCXHERpe9nGw9PfZ9BlYdq+DevWDaNe5F+tW/eGzRpUrLhnLhPHuDmyr1v5FTKNo3KccaNQwkrj4pDLXm3LTpUSEh3DNzVML7zupS1tef9E9p0N4aAjDh/SmoMDJ7J8rv8t8WFiDYr1LUpLjCA0tvo/DwqMJDAqldu261K5dl3btT2bvns00bNicwUPGMXjIOAC+nv4aYeG+7wIdFhpNcopX5pR4QkOLf2IbFtaAwECvzG17sGfvlsJGlbXrfqdZsw6EBJcevuILBZkHCQgsmm4rILAWBVnF3+AcGuIDkLErnZghTfCr44czt2jyYtdBJ1n7MglqFlwljSpXTBzPhAnjAFi1agMxMQ2B1QA0atSAuAOHP0+7XC6+mzGXGydd5tNGlSsuHceEC89yZ1y7iZiY6MJX00YNI4mLSyxzvSk3X05EeCjX3P9g4X2ZmUU9gH6Zt4QnH7mVsLBgUlJ8M9dDRFQ0SXFFdTkpIZ6wyOLH368/zGTcZe5zcsMmTYluFMO+Xbv4a81qlv+2gD8X/cHBg3nkZGXxysMPccvDj/gkK7h7ptQJKbr8qh0SSl562mHLp+3cSt3wSALq1SekeSsiOnalX/vOOPwD8K9dh47jr2Djl1Uz3w64e6YEBBX1AAsIqk1BZvHPs1wHi463zB3JmBEGv7oBOHN81CCBp2eKVy+SqJAGJKYXr7cJ6XFEhXiXiS5Wpm/7gWyO3URKZtE10O6Endz5zk0ANIlsRr8Og3ySPystgaCQonN/YHAUWemlX/MiGrRi+Dl38P0H95CbU3RMZWW4y+ZkpbJ9w0IaNOng80aVpLQ4IkMaFmULKd+1sZ/Dn3sueYH5q2axeP0vvogoJxAN/5FqYa3NBPYbY0YAGGPCcff6+K1EORfwMuAwxowEXgOuMMb0PVTGGHOpMaYhR3YqsNpa29Ra28Ja2xz4ChhnjGlvjPH+yKU7sKusjXg95hnGmADP3w2BCCC2jOf5lrW2l7W2V0UbVAA2711PTGQzGoTF4O/nz5BuI1m8cV6Ft+cLu2LXEx3RjIiwGPz8/OnZdSRrNs0r1zZ6nXQGyzT054jadOzI/j17iNu3j/z8fH6bO5deg4cUKxPZoCFrl7k7V6UmJbFv924aNG5Mbk5O4USIuTk5rF66hGatWvs0b4s2nYjfv4eEuFgK8vNZ9vscuvUqOcIOsrMy2LxhJd17Dyu8LyMtheysDAAO5uWycc0SGjZu4bOsH3z6HaefcwOnn3MDs3/+nfPPPhWAk7t1JD0ji/iE0o19F59/JsMG9eKm258s9qlk/1Mvp9+Iy+g34jJ+mLOQ+x591ScNKgAtWnYiLn4PCQmxFBTks3TpHLr1KL6Pu/cYxpbNf+J0FpCXl8P27eto1KglQOEEsElJ+1m54hf69D3DJzm9tWzhyZzoybx8Dt27Fa/H3bsNZfOWVe7MB3PZvmMdjRq2KFy+ZNls+lbR0B+A7PhsaofUJiCoFsZhCGkbRvrO4m9G/esVfVZVN7oeGIMz14lfHX8ctdw9gIyfIbBJUKkJbn3lg/e+5PRTJ3D6qROY/dM8zr/A3XB48sldSM/IJL6MxsIWLZoU/n3a6YPZunWnbzN+/C2nj7mW08dcy+w5v3P+Oae7M3Y/wrF3wSiGDenNTf96rNixFxVZ1GDQ/aQOOBzGZw0qAK07dmT/3j3E79tHQX4+f/xvLr0GlTgnN2zI2uWec3Ky+5wcHdOYS268iTdnzGTa199y66OP06VnL582qABkxO6ibmQ0dcIiMH5+NDipJ4kbiw97qBte1MAZGNMUh58/+dlZbJ/zHYue+TeLn3uQDZ+/S8r2v6q0QQUg50AGtULrEhBcx30ctm9AxrbijRf+9YoaP+s2DHIfhz5sUAH4a+8GmkQ0paHnOm14t9P5Y2PxeaL+2LCAkT3djYedmnUhKzeT5Iyi7CO6j+Tn1cWvgULru+uzMYbLhl/Nd4u/8kn+uNhNhEQ0JiisIQ4/f9qeNJwdm4q/ZgWGRHPmhEeZO/0pUpMKpxXEP6AOAbXqFv7dtE0vkuJ24GtbYtfTKLIZ0Z59PvikkSwtsc+P5OZzH2JPwg6++/3jvy/8T2Rr6M9xSj1VpDpdDkwzxrzguf2IZ76TYqy11hjzOHCXtXaEMeYi4HljTDTuKYsW8PffJnQxUHICia+AG4ENwKueeVEKgK14epd4fGKMOfRdkonW2lOB04GXjTGHrorvtNb67PsxXS4nb3z3DI9f9ToO42DO8hnsjt/OqD7nAzBr6XTCAiN4efIn1KtdH5e1jBs4getfOq/KujO6XE6+mPkMk694HYfDwaIVM9gfv53Bvd0ZFy6bTnBgBHff+Al1atfHWsspAybw2CvnkZuXRUBAHTq06cunMx6vkrxH47bbbmPp0qWkpKQwZMgQbr75ZsaPH1+tmfz8/bnmjjt47F+34HK5GD56DM1atWL21+5DYOS55zL+qqt47bFHmTLhEqy1XDrpJoJDQzkQG8uzd98FuIeDDD59JD369/dtXj9/Lrn6LqY+MRnrcjLwlLNp3LQ18+ZMB2DY6e768efSX+ncrR+169QtXDctNZF3X3sIl8uJtZZe/U+lW88hZT5OZft5/lKGD+nL73M+ICc3j9vue75w2Yf/eYI7H3iRuPgknn74X+zdF8d3n78CwKy5vzH19aq9QPPz8+eSCXcx9YXJuFxOBg4+m8aNWzPvV88+PuV8YmJa0qXrAB5+8CKMcTB4yDgaN3H3+HnjtTvJzErDz8+fCZfdQ/36wVWSecJFd/LSyzfjcjkZNHAsjWNaM2++J/PQ84lp1JKunfvz0GMXY4xhyMBxNGnszpx3MJcNG5dy+aX3+zxrIQv7Fu6l5djWYAwpG5PIS84lvLO7p0zy+iRCWocS3iUS6wJb4GLPnJ0ABNT3p8mI5mAMxkDa1lQydlXdt2Qc8vP/fmf4iIH8vvhbcnJyue3WojfwH37yMnfe9hjx8UlMfeURAoPqY4xhw/rN3Hv301WXcd5ihg/ry++/fOw+9u5+pijjO09x573Pu4+9x25jb+wBvps+DSj66uSzzhzK5ZecjdPpJDc3j0n/euxwD1Up/Pz9ueq2O3hiyi24nC5OGT2Gpq1aMecb9zn59HPO5bwrr+L1xx/l9ksvAWuZ4DknVwfrcrH5u/+j28SbMMbB/hWLyI7fT0wfdw+IfUt/I6pLdxr26IvL6cRVcJD1n79bLVnLZC37f9lM8/O6YRyGlHX7yUvKJuykGABS1uwjuF0UYd0ag8viKnCy94f1Po/ldDl5ecazPHf1azgcfvy4bAY747Yztu95AHy35CsWb/qNvu0H8sldM8g7mMszXz5cuH7tgDr0bNOXF75+sth2R3Q/g3H93dcdC9f9yo/Lv/NJfutyseD7Vzj7ymcxxsGGlT+SHL+Tzn3cX/29fun39B5+OXXqBTN07K2eddxfnVwvMIxRE9zHmXH4sXnN/9i9ZZlPcnpzuZy89d3TPDzxDRzGwc8rZrAnfhtneK6Nf1o6ndDACF646dPCa+MxAycweeq5tGjYllNOHsPO/Zt5afIXAHw851VWbP7tSA8pcljmSGPERaTyjLq3R4062FpUz5fFHJPXH/+zuiOU27qU1OqOUC7Je2peW/zFF5xT3RHK7fN3fT+JcGUyB2vU6Q2AkPVbqztCuZ3x2LXVHaF86gdVd4Jym7W0Zh17AMkvVGHjYiWIjji/uiOU203xd1R3hHI539/3jeOVba5N+ftCx5kZT66qnq9yqwQL/8iseS/cwOABgcflPq95V8ciIiIiIiIiUjGuGtmmctzSnCoiIiIiIiIiIhWgRhURERERERERkQpQo4qIiIiIiIiISAVoThURERERERGRE4RxVXeCfxb1VBERERERERERqQA1qoiIiIiIiIiIVICG/4iIiIiIiIicKDT8p1Kpp4qIiIiIiIiISAWoUUVEREREREREpALUqCIiIiIiIiIiUgGaU0VERERERETkBGFctroj/KOop4qIiIiIiIiISAWoUUVEREREREREpALUqCIiIiIiIiIiUgGaU0VERERERETkRKEpVSqVeqqIiIiIiIiIiFSAGlVERERERERERCpAw39EqkhrP1PdEcol07qqO0K5rUtJre4I5dYlLLS6I5TLd89dUt0Ryi2/Vb3qjlBuIXM+qu4I5ZI/6eLqjlBuL8+dWN0Ryq2gQ/PqjlAutk51Jyi/7MU1r0+8n6lV3RHKJz+zuhOUW6bTr7ojlMtcv5TqjlBu2S591l+V9JXKlUu1V0RERERERESkAtSoIiIiIiIiIiJSAWpUERERERERERGpAM2pIiIiIiIiInKi0JwqlUo9VUREREREREREKkCNKiIiIiIiIiIiFaDhPyIiIiIiIiInCH2lcuVSTxURERERERERkQpQo4qIiIiIiIiISAWoUUVEREREREREpAI0p4qIiIiIiIjIicJV3QH+WdRTRURERERERESkAtSoIiIiIiIiIiJSAWpUERERERERERGpAM2pIiIiIiIiInKCMC5b3RH+UdRTRURERERERESkAtSoIiIiIiIiIiJSARr+I3Ic69h2AOeNugOHw49FK75h7oL3iy1vENmCCec+TJOYDsycO41ffv8IgOjI5ky88OnCchFhjZn185vMW/SpT/N2aTuAS866C4fDwYLl3zBrwXvFljeMbMHV5z1C85iOfD33NX767cPCZc/dMYvcvCxc1oXTVcCjr0/wadZD/ly0iHdfehGXy8WIsWM59/Irii3Pyszk5YceIjHuAE6nk7MnTGD46DEA3DBuHHXr18PhcODn58ez739QJZmP5N5772XevHlEREQwc+bM6o4DQFTbk+g6+nKMw8GuZb+ydcH3xZY37NiTDqeOx1oX1uVi3Q8fkbzrLwC6n3sdDTr0IC8rnXkv312luZ+4/lpO7d2TnLw8bn7xZdZu216qzFWjR3H9uLG0jGlEh4suJTk9A4Dzhg3l5vHnApCVk8td095g/Y6dPssa2KYpjc8YBA5D8sqNJPz2Z5nl6sZE0eaac9k9fS5pG7YTEFyfpueMwD+wHlhL0ooNJC1Z67Oc3lYvWcSHL7uPvVNGj2XspcWPvezMTKY99hBJnmPvrIsmMOysMSTFxfHGEw+TmpyMMYbhY8dx5viLqiRz57YDuNhzjlu4/Bt+LOMcN/G8R2gW05Fv5r7GHK9z3NNe5ziXq4DHq+gc98TN1zKiX09ycvO45emXWbuljHp8ziiuO38sLRs3ouPZl5KcllG4bED3Ljw2+Wr8/fxJTkvnnFvv933mG72OvRdeZu3WMjKPGcX153iOvQuKjr0z+vXhnism4HK5KHC6eOA//2XJ+o0+zbtm4yI+/fYlXC4XQ/qNZfSIy0uV2bh1BZ9+OxWns4Cg+qHcO/mNwmUul5OHX5pIWEgUU655wadZAcLadqD1WedgHIYDy5ewZ8HPxZZHdOxC81PPBGuxLhfbfviG9F07AOhzxwM483KxnmV/vv6iz/MCBLaMouGpXcBhSF29m8TFW8ssV6dhCK0uH8zeGStI/2s/tcLr0+TsnoXLa4XWI37hXyQv31HpGfu378cdZ9+Ow+Hg2yUz+ODXD0uVuePs2xnYcQC5B3N5+ItH+SvW/Vr33X3fkp2XjdPlwulycvnL7vPhLaNvZkinweQX5LM3KZZHvniUzNzMSs8O0KPtAK4d7T6/zV32DV+VOL81jmrBLec9QuuYjnw85zW+9Tq/3Xzuw/TqMIS0rGRuefl8n+QrS692A5g05g4cxo8fl33DF/PfL1Vm0pg76dN+EHn5uTz35UNs3bcJgHMGXsyZvc/BGMOspd/wze++vUY+3hir4T+VSY0qNYwxpgkwDeiEu6fRTOBOYADwKzDWWvu9p+xM4Hlr7TxjzDygEZDj2dRWa+35nnLXAbd57k8HbrPW/uZZVnK9x621040xTsD7ynuctXZnGXmHATOA7UAd4HNr7SPGmCuBXtbayV5l5wF3WGuXG2N2AhmABVKAy621uzzlLgfuAozn511r7fPGmPeBmdba6V7bzLTWBnrdngI8BTSw1qZ57qsHvA2c5NleKnCGtTazjOf5ubX2aWPMaOAxz/8gAHjZWvufks//WBjjYPyYu5n23iRS0+O484aPWbtxPgcSii4EsnLSmP7Ds5zU8ZRi68Yn7uKZaRcXbufxu35i9cZfKzNemXkvG3Mvz793A8npcTx44yes2jiffQlFF8NZOWl8OvNZenQ6pcxtPPPOtWRmp/o0pzen08nbzz/Hg6+8SkR0NHdPvJLegwfTtGWrwjI/TZ9O05Ytue+FF0hLSeGWCy9g8MgzCAgIAOCRaa8THBpaZZn/zrnnnsull17K3XdXbQPEYRnDSWMnsujdp8hJT2LIpMc5sGklmfGxhUUStq3jwMYVAAQ3bErPi//Fry/dAcDulQvYsXgOPcbfWKWxR/TqSavGjeh7zQ30bN+OZyffyJlT7ixVbumGjcxdupxvnnm82P274+I4++77SMvMYnivk3n+lpvKXL9SGEPjUYPZ8dH35Kdn0eba80j/ayd5CSmlyjU6rT8Z2/YU3mVdlv1z/iBnfyKOWgG0vf58MrfvLb1uJXM5nbz34nPc+9KrRERF8+9rr+TkgYNp4nXszfl6Ok1atOTOZ14gPSWF2ydcwKDTz8Dh58eEm/5Fy/YdyMnO4v6rr6Brrz7F1vUFYxxMGHMvL753Aynpcfzbc47bX+Ic99kRznHPV/E5bkTfnrRs0oh+E26gZ6d2PDvlRs6cVEY9XruRuYuW8/XU4vU4OLA+T996Axff9TCx8YlEhob4PnPvnrSKaUTfq26gZwfPsXfrEY69Z4tnXrhqDT8tXgpAp5bNefu+uxh47U0+y+tyOfno6+e584ZXCA+J5pGXJtKj82AaN2xZWCYrJ4OPvnqO26+bSkRYQ9IzkottY86CL4iJbkFOXpbPchYyhjZjzmPte2+Sl55KjxunkLRxHdkJcYVFUrZtJmnjOgDqN2hEx4uvYPnUog9qVr/zOgXZVZC1MDM0Or0rOz9fTEFGDq2uHEzGlgPkJWWWKtfglE5k7ogvvOtgchbb31tQuLzdTaeRsflApUd0GAd3n3MXN701mbi0eD781wcs2LCQHXFF12wDOwygaVRTznn6PLo068K9593Nla9cVbj8+jduJC07rdh2l2xeyrRZr+N0Obn5rMlMHHElr/7wmk/yXz/2Xh569waS0uN4ftInLN00nz3xRee3zOw03v7+WfqVcX77eeV3/LD4c24d/3ipZb7iMA5uPvtu7n5nEolpcbw2+WMWbZzP7viifd6n/UAaRzbjyufPpmPTrtwy7l5uef0KWjRozZm9z+HmaZeT78znqYmvsXTTQmKT9hzhEUUOT8N/ahBjjAG+Br611rYF2gGBwBOeInuBI32ENMFa293zc6hBZTRwPTDIWtsBuAH41BjT8DDrHWqwyPG6r3tZDSpeFlprewC9gEuNMT2PUNbbKdbak4B5wL89ec8EbgVOt9Z2Bk4G0g63gTJcDCwDzvG6719AnLW2q7W2C3A1kO9ZVvJ5Pm2MCQDeAsZYa7sBPTwZK1XzJl1ITNpLUkosTmcBK9bOpmvHYcXKZGalsDt2A05XwWG30751HxKT95KSur+yIxbTqkkX4pP3kODJu3TNbHqUyJuRlcKO2PU4nYfPW5W2bthAwyZNaNi4MQEBAQw67TSWLVhQrIwxkJOdjbWW3JwcAoOD8fPzq6bEf693796EhPj+jc/RCmvShqykOLJT4rFOJ7FrFtGwY/FTgPNgXuHffgF1wOvTk+SdmziY7ZtP5Y7kzH59+L+f3Q2RK/7aTEj9+kSHhZUqt277DvbEx5e6f9nGTaRlut90rNj0FzERET7LWq9xNAeT0ziYkoF1ukhdt5Xg9i1KlYvs25W0DdsoyMopvK8gM5uc/YkAuA7mk5uQQkBQfZ9lPWTrxg00aNyEBjGN8Q8IoP+I01jx298few4/P8IiI2nZvgMAdevVp3GLFqQkJvg8c0vPOS7R6xzXvYxz3M7j6Bx3xsA+fDnbU483bCY4sD7R4WXU46072HOgdD0+d8QQZi1cRGy8u44kppbn5bZizuzvdext2kzI4TJv28GeuNKZs3JzC/+uV6cO1sefxm7fvYEGkU2IjmiMv38AfXucxp/ritflxStn07PrMCLC3JdWwUHhhcuSU+NZvfEPhvQb69OchwQ1aUZOciK5KUlYp5OENX8S0bFLsTKugwcL/3bUquX+eKsa1W0UxsGULPLTsrEuS9qGfQS1bViqXHjPlmT8tZ+C7INlbAXqN48iPzWb/PScMpcfi87NOrMnaS+xyfsocBYwZ9UchnYeUqzM0M5DmLV8FgDrdq8jqE4QEUFHfm1YsnkJTpcTgLW71hEdEl3p2QHaNunCgaQ9xKXEUuAsYOGa2fQpcX5Ly0pha+x6Csq45tywcyWZ2ek+yXY47Zt2YV/SXg4kuzPPWz2bAZ2GFSvTv9Mw/rfS3Wt34561BNYNIjwokmbRLdm0Zy15+bm4XE7W7FjBwM7DqzS//LOoUaVmGQ7kWmvfA7DWOoEpwFVAPWA1kGaMOa0c27wbuNNam+jZ5krgA6DSP9ax1mYBK4DW5Vx1EdDY8/e9uHuz7PNsM9da+/bRbMQY0xp3I9S/cTeuHNIIKPzY3Fr7l7U2j8MLwt3LK8lTPs9a+9dRPpejFhocRUpa0acpqenxhAaX/8X05K4jWbFmdmVGK1NYcDTJXnmT0+MIK8eLv7WWOya+wUOTPmVo7/N8EbGU5IR4IqMbFN4Oj44mKaH4m7Mzzx/P3p07uGb0Wdw24RKumjIFh8N96jQGHr3lFu684nLmfPtNlWSuaeqEhJGTllR4OzctmbrB4aXKNezUi1OmPE/fK+5k1VdvVWXEMjWMjGBfQmLh7X2JiTSKrFjDyITTT+PnFSsrK1opAcH1yU8v+tQ4Pz2LgODiDSP+QfUJ7tCSpOUbDr+d0CDqNookOzbusGUqS0pCPBHex15UNMklGkZOP288+3bt4KZxZ3H3lZdw+S1Fx94hCfv3sXPzZlp36uzzzGHB0cXOySkVOMdNmfgGD0z6lCFVdI5rFBVBrFc93p+QSKOoo6/HrZvGEBIYyNdTH2fOf15g/Oll98CpTA0jShx7CYk0Kmej5KgB/fj97Wl88ugD3PrSq5UdsZiUtATCQ4vqQVhoNClpxevygfg9ZOVk8NS0G3noxSv4fdmswmWffvsSF46ejPtzM9+rHRxKXlpq4e289DRqldEQH9GpK71uvYcul1/LX19/VrTAWrpOvIEek26jYe/+VZAYAoLqkJ9R1BCSn5GLf1CdYmX8A+sQ3K4RyX/uPOx2QjrFkLYh9rDLj0V0SBRxqUXnzvjUeKJDooqViQqJ5oBXmbi0+MJGEgtMu+5VPrr1A87pO67MxxjbZwx/bPqj0rMDRIREk+h1fktKiyOiAtecVSkyOIoEr8yJafFElsgcGRxNvNc+d5eJYueBbXRtcTJB9UKoHVCHPu0HERXaAJGK0vCfmqUz7kaJQtbadGPMbqCN567HPT9zy1j/E2PMoVeludbaO8vaJrAcuOIw642w1iYBdY0xqzz37bDWevf8KJMxJgLoh3vYTO+/K+/lDOBbz99dysjr7TljzL8Ps+xi4DNgIdDeGBNtrY0H3gXmGGPOB34GPrDWbvGs4/08AZ6y1n5hjPkO2GWM+Rn3EKzPrLWucjyno1D6Aqu8n7j5+fnTtcMQvp/j24tKwN3CUEJ58j751pWkZiQQVD+MOya+yf6EHWze6bs3olCsQ0QhU2K/r1qymJbt2vHItNc5sHcvj95yMx27d6de/UCeeOttwqOiSEtO5pFbbqZx8xZ07tHDp5lrnjLqRRkfex7YsJwDG5YT3qIDHU4bz6J3n6yKcIdVsh5A+Y8/gIEndeWS009lzJ33Vkaso1ciaswZAznwv8VlV3rAUcuf5heMZN9Pv+PKyy+zjA/jAaX3+Zoli2neph33v/w6cbF7eeq2m2nfzX3sAeRmZ/PSv+/hslumFN7nU8d4jnv6rStJ85zjbvOc47b4+Bx3rK8jfn5+dGvfmvNve4A6tWvxw7RnWbHhL7bv3VeZIYspq3GhvMferD8WM+uPxfTr0ol7Lp/A+fc+WFnxSikzW4mn4HI52blnE3ff+BoH8/N4/JVraN28CwcSdhMcGEaLph3YuPVIlzaVqKy2mzKeQtKGtSRtWEtIi1a0OHUUa99zzwGz6q1XOJiRTkD9QLpOvIGchDjSdpae86aqNTy1M3HzNhy2V41xGILaNCRunq/m1ymr3pYoUca+P1R/rn7tGhLTEwkLDGPada+xM2EXf24vmhvrqhETcTqd/Ljyp0pN7ZWudLbq7qL0N8o8V5TIXOY+B3Yn7OCL+e/zzNWvk3Mwh+37Nxf2CDphuCr5bcsJTo0qNYvhcNeinvuttQuNMRhjBpdRboK1dnkFHqes9XKstd2PYlsAg40xfwIu4Glr7XpjTK/DlPV+3F+NMQ2AeDzDf47CnSXnVPFadhFwjrXWZYz5GhgPTLPWrjLGtAJOB04Flhlj+ltrN3KY52mtvcYY09VT/g7gNODKkuU889VcBzDszKZ0OTnyKJ+Gu2dKWEhR99bQ4GjSMsrXxb1T24Hs2b+JjKzkvy98jFLS4gj3yhse3IDU9KPPm+p5bhlZKazc8CutmnTxeaNKRHQ0ifFFn2Akx8cTHlX8f/TLzJmcc/nlGGNo1LQp0TExxO7cRdvOnQmPcn8KFRIeTt+hw9i6Yb0aVUrITUumbkjRp8x1QsLJTT/8fB3JOzdRLzyaWvWCOJidcdhyvnDV6FFcOtLd0e/PLVuJ8aoLMZGRHEgq33HUqUVzXvrXTVz04KOkZPjuuZTsmRIQXJ/8jOLzHdSLiaLZ+acC4FevLsFtm2NdLtI37QSHg+YXjCR17WbSN1b+5I1lCY+KJsn72EuIJyyy+LE3f9ZMxl7qPvYaNmlKVKMY9u3aRZtOnSkoKOClf9/DwNPOoM9Q3/eeAPc5zvucHFbOc1ya1znuzw2/0rJJF580qkwcN4pLR7vr8apNW2nsVY8bRUVyIPHo6/H+hCSS09LJzs0jOzePxavX07l1i0pvVLlqzCguPcNz7G0ucexFRXIguWKvYYvXbaB5o4aEBwcVTmRb2cJDo0lOLRqGlJIaT1hw8R4KYaHRBNYPoXbtutSuXZd2rXqwe98Wdu39iz/XL2T1xj/ILzhIbm4W//n4Ia6/9BGfZAXIS0uldkho4e3awSEcTD/8sK60ndupGx6Bf736FGRncTDDPcQjPyuTpA1rCWrSzOeNKvkZuQQE1S28HRBUh4KM3GJl6jYMLZyQ1q9uLYJaRWNdlowt7p4Mga2jyY1Lw3mYoUHHKj4tngZePR2iQ6NJKHF+iE+Np2FoA1Z7bjcIKSqTmO7unZWSmcK8dfPo3LRTYaPKWb3OYlDHQdz4n0k+yQ7unimRXue3iJAGJJfj/FYdEtLiifLKHBkSTVKJzAlp8USHNmD9rtJlflo+g5+WzwDgqpGTSUjzfS9N+efS8J+aZT3ueUkKGWOCgabANq+7n+DIc6t42wCUnOPkZM/9lWWhtbaHtbantfZNz31JQMlB0uFAotftU4DmuJ/3o5771peR928ZY04C2gJzPZPgXoTXECBrbaa19mtr7STgY2DU323TWrvWWvsS7gaVMvtyW2vfstb2stb2Kk+DCsDu2PVERTQlIiwGPz9/enYdydpN88u1jZ4nnVElQ38AdsSuJzqiGZGevH1OGsmfR5m3VkAd6tSqV/h3lzb92RtX9sz+lalNx47s37OHuH37yM/P57e5c+k1uPgY6MgGDVm7zN2mmJqUxL7du2nQuDG5OTnkZLnfuObm5LB66RKatSrvyLZ/vtTYbdSPbEi9sCiMnx+NT+pP3Mbin8jWDy+6EA2JaYHDz7/KG1QA3p05i+E3T2H4zVP4cdFiLhjhfrPes3070rOyiE85+slbG0dF8t6/7+Wm56eyPdZ3n+oDZO+Lp1ZEKAGhQRg/B6Fd2pD+185iZTa9/Ambprp/0jZsI/aHBe4GFaDp2cPITUwlcdEan+b01rpDRw7s3UP8vn0U5Oez6Oe59BxU/NiLaNCQdSvcx15achL7d+8mOqYx1lreevpxGrdowVkXXVJlmXfGrqdBiXPc6nKc42p7neM6telPrI/Oce99O4sR10xhxDVT+PG3xYwf6anHndqRkZVFfPLR1+OffltCv66d8PNzULd2LU7u1I4tu/dWeuZ3v5/F8JumMPymEsdeB8+xV47MLRsVvcnq2qYVtfz9fdagAtCyaUfiEvaQkLSPgoJ8lvw5lx5din+udXKXwWzesRqns4C8g7ls372emAYtGD96Ei899D0vPPAtN172GB3b9vJpgwpARuwe6kZEUScsHPP/7N13eBTFH8fx91wSSiC9J7TQQaT33kE6CEpTQAXpvVoRVHoTELuIYvmJKFWkSBEFQu+9k5BCElJIIbmb3x93pFMSc0T0+3qePNztzu59btm73ZudmbWxwaNyNcLPnExXpoBr6vlKYd8iKFsbkuPuYLDLh02+/AAY7PLhXLocd0Jyf9DXjOJv3iafayHsnAqiDAqnir7EXEj/uuc/2sb5Zea/6LM3ubn5eEqFCoBTBT+rdf0BOHX9FEXdi+Lr6outjS2tq7Zm18k/0pXZeeoP2tU0n15WKlaJ2IRYwmPCKZCvAPb5zd8PBfIVoE7ZOlwMNp/W1ytXl37NXmDsl+NITHpQz/S/53zgSXzci+HpYs7fqHIbAk5n75zzcTt74yR+bkXxtmRuWqUNe06lz7zn1E5aVu8AQIWiT3MnIZaIGPNPDedC5p8hHk7eNHiqGduPWqsVkPgvkJYqT5ZtwEyl1Ita6xVKKRtgHrAciLtXSGu9WSk1HfB9hHXOBmYppdpqrcOVUlUxt7iok9vhM9gPLFFKeWutgy0tV/ID6Ybd1lrHK6VGA8eVUu9ivnPPbKVUB8ty+YFXtdYfPOT1egFTtdYz7k1QSl1WShUHigCntNaRSql8mO+stON+K1JKFcZ856J7ZaoCVx/1jT8qk8nIj+tnMbTfUpTBwN6DawkOvUQDS1/8P/f/hENhNyYM+YYC+QuhtaZp/d68/0F3EhLvYGdXgPKl6/D9mvce8kq5l3flupmM678MgzLwx6E1BIVepGlt8631dgSswrGwG28P/ZaClryt6vfh9UXdcLB3Zngf820ZbQy27D32KyfOW6ffcFo2tra8Mn4800eNxGQy0bxDR4qVLMlvq1cD0KZbN3q89BJLpk9jTJ/eaK3pO3QYjs7OBAcGMnvSRMB8F6FGrdtQrd7j6V/+IGPHjiUgIIDIyEgaN27MiBEj6NGjR57l0SYTx9cup+6AyShl4NrBHcSEBlK8dgsArgZsw6dSbYpUa4Q2JmNMTuLg96nd1ao/Pxx3/wrkK+RAq0mLObv1J64d3GH13Fv3H6RlrZoEfP4RcYmJjEozLsO377zJmEVLCYmI4JVOHRjevSueLi7sWPoBWw8cZOyiJYzr3RMXBwdmDX0VgGSTidajxlknrEkTtPEPSr7QAZQi8vAZEsMica1ZEYCIB4yjYl/MG5cq5YgPCafMYPN+ErxtHzHnr1knq4WNrS39x4xn5jjzZ69p+44U8S/J1l/Mn72WXbrRrf9LfPT+NCb1M3/2eg02f/bOHDvC7t9+pWjJ0kwZ0BeA5wYNoVq9BlbNbDIZ+XbdTEZbvuP+tHzHNbF8x+20fMe9keY7rmX9Pry1qBuF7Z0ZZvmOMxhsCTj2Kycfw3fc1r0HaVGnJvtWfkR8YiKjZqXuxytnvsnYOUsJCY/glW4dGNarK56uLmz//AO27TvI2DlLOH/tBr8HHGb75x+gtYmVG7Zw5rJ1942tAZbP3heWz978NJ+9aW8yZqHls9fZ8tlzdWHHsg/Yuv8gYxcuoUPD+vRo2Yzk5GQS7t5l0Iw5Vs1rY2NL327jmfvJKEwmE41qd8DPuyS//2Xel5vX74avlz9Pl6vLm3P7opSBxnU6UcQnjyrhTSYurPuJSv1fRSkDwYf2ERcajE/t+gDcDPgL96cq41WtFtpkxJSUxOnvzbfOzVfYgYp9BgCgDDaEHjtI5Pkz1s+sNTc3n6D483VRShF57DqJt2JxqVocgMgjDz4FU7Y2FPL3IOg361UcG01G5vw8h8UDP8BGGVi7fx2XQi7xbL1uAPy0ZzV/nv6TBuXr88vk1SQkJfDOD9MBcCvsypz+5v3UxmDDb4d/Y8/ZvQBM7DoBO9t8LB1kvuPPiWsnmPHTzCwS/D0mk5FP1s5k6gDz99u2g2u4HnqRtpbvt00Bq3Au7Ma8Yd9in78QJq3p2KAPwxd2Iz7xDuOen0El/5o4FnLm80m/8d3WZWw9+Euu58yYecnaWcx4aSkGg4HfDqzlauglOtQxnyev3/cTAWd3U6d8Q76asIbEpATm/jg1Zfm3+s7F0d6JZFMyS9bMIjb+8V/MEf8eytqjoovcpZQqCnwIlMfc0mgj5u4n9TAP4NrBUq4T5lsZN7vPLZVvaa1bWsoOwXxHHY35NsbjtNa7LPN2WNabrvtPxlsVPyBv07S5MszrDLxteR+xwEjLQLlYWpPUvDeArlJqMRCqtZ6ulBoAjCO1m9IXWuv5D7qlslLqMvCM1vpMmnnzgRDgpmUbKkuWDcAkrbXO4pbKmzC3BPoB84C78cAdYNTDulaNeKP6E/Vhi83tIWIeg3Hjd+R1hGyr5OKc1xGyZe1rj69lQG555chjvPVnLtlau21eR8iWpKG9Hl7oH2bZoqZ5HSHb1v1ZPK8jZIsu8PAy/zRrRizP6wjZlvTXtIcX+gdxc3jy7rLS79b0vI6QLX75rNPNyZriTE9eB4otMw89nhGmrSBgdegT9bvkntrdPP+R21xaqjxhtNbXgY5ZzNpBmtYVWuu1pBl1Smvd9AHrXAYsu8+8LJd7lAoVS7l0uTLMW4O54iereSUyPB+R5vGXwJdZLNP/fjm11v5ZzBub5umK++S4371zH9o9SAghhBBCCCHEv9uTVyUohBBCCCGEEEII8Q8gLVVErlBKtQFmZZj8SLdaFkIIIYQQQgjxeCjTE9n75x9LKlVErtBa/wY8ntvMCCGEEEIIIYQQ/wDS/UcIIYQQQgghhBAiB6RSRQghhBBCCCGEECIHpPuPEEIIIYQQQgjxXyFjquQqaakihBBCCCGEEEKIJ55Sqq1S6qxS6oJSavJ9yjRVSh1RSp1USu38u68pLVWEEEIIIYQQQgjxRFNK2QBLgVbADWC/Umqt1vpUmjLOwIdAW631NaWU5999XalUEUIIIYQQQggh/iOUNuV1BGupDVzQWl8CUEp9D3QGTqUp0xtYrbW+BqC1Dv27Lyrdf4QQQgghhBBCCPGPppQapJQ6kOZvUIYifsD1NM9vWKalVRZwUUrtUEodVEq9+HdzSUsVIYQQQgghhBBC/KNprT8BPnlAEZXVYhme2wI1gBZAQWCPUmqv1vpcTnNJpYoQQgghhBBCCCGedDeAommeFwGCsihzS2t9B7ijlNoFVAGkUkUIIYQQQgghhBAPpv69t1TeD5RRSvkDgUBPzGOopLUGWKKUsgXyAXWABX/nRaVSRQghhBBCCCGEEE80rXWyUmo48BtgA3yhtT6plBpsmf+R1vq0UmoTcAwwAZ9prU/8ndeVShUhhBBCCCGEEEI88bTWG4GNGaZ9lOH5HGBObr2m3P1HCCGEEEIIIYQQIgekpYoQQgghhBBCCPFfYTLldYJ/FalUEeIx2RxVKK8jZEsdx5i8jpBtEdefvK+0tXMyjp31z9bp/W/zOkK22VZondcRsi3qtb55HSFb9i9qn9cRsu3VETvzOkK2/fpFq7yOkD2FC+d1gmwzlrHL6wjZtu2vv/I6QrY0iI7N6wjZVtjGmNcRsqUrPnkdIdt+MtzM6whC5Jh0/xFCCCGEEEIIIYTIgSfvsq4QQgghhBBCCCFyREn3n1wlLVWEEEIIIYQQQgghckAqVYQQQgghhBBCCCFyQCpVhBBCCCGEEEIIIXJAxlQRQgghhBBCCCH+I5TWeR3hX0VaqgghhBBCCCGEEELkgFSqCCGEEEIIIYQQQuSAdP8RQgghhBBCCCH+I+SWyrlLWqoIIYQQQgghhBBC5IBUqgghhBBCCCGEEELkgFSqCCGEEEIIIYQQQuSAjKkihBBCCCGEEEL8V8iYKrlKWqoIIYQQQgghhBBC5IBUqgghhBBCCCGEEELkgFSqCCGEEEIIIYQQQuSAjKkihBBCCCGEEEL8RygtY6rkJqlUeURKqVitdWGlVAngMjBSa73YMm8JcEBrvVwpVRdYBOS3/P0AXAVGWVZVETgLGIFNWuvJSqkxwAzAS2sdZVlnU2C81rpDhhw7LNMPpJnWFNgOvKK1/twyrRpwCJigtZ6rlFoONAGiLIvFaa3rK6X6A18AVbXWxyzLngA6WLLnB1yBgkCgZdkuQHNgDKAxt3h6XWu95j7bLu1rm4BhWus9Gd+LZduu11pXsrynNcAly2uv11qPt5QrDMwDWgIJQLjlfe679/+U5rX7AzW11sPTTDsKnNJa90ozLdP/m9Z6qmX5OWneO0Bv4Ayw0LIdtCXHc1rry1ltg0fVqEJtXn92FAaDgR/3rOfTLSszlXn92VE0eaouCXcTmfzN+5y6cQ6A93tPpmml+oTHRNJxRr9My73UvCeTug6j7uQORN6JyjQ/Nzxdpj5920/EYDCw88DPrN/1Zbr5Pu4lGPjsOxT3rcCqLUv4dfeKdPOVMjBt6LdERocy/+uRVsmY0YnDf/H9l3MxmYw0atGFZ7oOSDf/tzUr2PvHrwCYTEZu3rjMgs+3ki9/AWa/NZDk5LsYjUZq1G1B5+cHP5bMHmUq83SHF1EGA1f3b+fCrnXp5ntXqEH5lj3Q2oQ2mTix4Wsirp4FoGq3QXiVr0binWh2LJr0WPI+zJQpU9ixYwdubm6sX78+r+OkmP7aUJo3rkV8QiJjXpvL8VMXMpVZMnsyVSqVISnZyJFjZ5g4dRHJyUbaNK/HhJH90CZNstHI2zOWEXDopNWynjj+F999NxeTNtGoURfateufqcyZMwf44fv5GI3JFC7szMRJnwCwefNKdv9h/vouUqQ0A156Gzu7/FbLek+JMrVp2n4kBoOB4wc2sH9X+u+78lVaUatxbwCSEuPZunYet4IvYmObj+cHLsbGxg5lsOH8yR3s2fZlVi+R647u28PXi+dhMplo2r4znfqk/66Ni41l2btvER4ajNFopN3zfWnSriPhoSF89N5UoiLCUQZFs45dadu952PJPG36OJq3qE98fAJjRk/jxPGzmcosXjqNKpUrkJSczJHDJ5k0cQbJyUacnByYt+BNihf3IzHxLuPGTOfs2UvWz/zmcJo3qWPOPGk2J06dz5x53mtUqVTOnPnYGSa9OZ/kZCP1alfhi4+mc/1GMAAbN//BwiVfWzXv8YN/8d2nc9EmI41adaFdj/THkU2rV7B3h/k4YjSajyMLv9lKYQcn4mJjWL54OoFXL6CUov+otyldvrJV85YuU5dn2o9FGQwcOrCW3bvSH4ufrtKGho1fAOBuYjzr184mJNj8f9C52xuULdeAO3ci+fCD3lbNmZZbmaco36EnymDgxv4/uLJrU7r5HhWqULplF7TWaJORsxt+4PbVCxhsbak1cCIGW1uUwYaQEwe5uG2tVTLWLluP4Z3GY6Ns2LD/F77dsTxTmRGdJlC3XAMSkhKY+b+pnA86Q1H34rzdZ0ZKGR9XP77c8hGrdn9HKZ8yjO36GgXz2RMcGcS7379BXOIdq+T3K1OD2h0GowwGzu/fxPFdP6abX7JKMyo17gFA8t149qxZQmTwZRzd/Wjac0pKucKuPhzZ+jWn/vrFKjnTql6mPgM7mM87t+z/mVUZzjuLeJRg1LPvUMq3Al9vXsLPac47R3abSq3yjYm6E8HwRd2tnlX8u0mlSs6EAqOUUh9rre9mmPcV5h/XR5VSNkA5rfUp4EsApdQVoJnW+laaZXoB+4GuwPIcZjoOPA98bnneEziaocwErfWqLJa9AbxuWT6F1rqOJXN/0lRMKKWKWMpX11pHWSo5PB6Sb4LWepVSqjXwMfAoZwx/aK07KKUKAoeVUj9rrf8EPsNcsVVGa21SSpUEKjzC+lBKVcBcCdRYKVVIa33vyJTp/y3NYj+krZSxrKcX4AtUtmQoAvyto5xBGXirx1gGLB1DyO0wVk34lN+P/8nF4CspZRpXrEsJzyK0ntaLKiUqMvX5cTw371UAVu/7lW92rWbWC69nWre3syf1y9ciMCL470R8IKUMvNhxCrO/HExEdAjvDFnJodM7CQpLPQGPjY/i6/WzqVGxWZbraFO/N0FhlymYv5DVcqZlMhr59vOZjHnzQ1xcvXhvygtUqdkE36IlUzN1fpE2nV8E4OiBXWxZv5JCDk5orRn39kcUKGhPcnISs998mUrVGlCq7NPWDa0UlTsNYM8XM4iPDqfx0HcJPnOI2NDUer+wiycIPn0QAEfvotToNYrtC8YDcO3QLi7v3Uy1HkOsmzMbunXrRt++fZk06Z9RyQPQvHEt/Iv70aDtAKpXKc+Mt0bSoWfmir7V67cxfOJMAD6cO4Xe3Z9hxffr+WPvYX77fQ8AFcr68/GCN2jc/mWrZDWZjKxcOYux45bi4uLFu9NfpGrVxvj6pu7HcXExrPxmFqPHLMbNzZvo6AgAIiND+X3bD0yb/j/y5SvAR8smE7BvMw0adrRK1nuUMtC84xh++nIsMdFh9BnyCRdP7yYi7GpKmajIm/zv0xEkJsRSomwdWnWZwHcfDcaYfJcfPx9N0t14DAYbnh+0lCvn9nHz+imrZjYZjXy1cDaT5y3B1cOTt17tR40GjfArkbqdt/z8I34l/Bk3cz7RtyOZ0LcHDVq1xWBjQ+9ho/AvW574uDu8OfBFnq5ZO92y1tC8eX38SxalYf1nqV69EjNmTqJj+5cylfv5p02MGPYWAEs/nE7v3l1YseInRozsz8kT53jlpYmUKl2c99+fyPPPDbNu5iZ18C/uR8OWL1C9agVmTBtNx+6ZX/PntdsYMe59c+YFb9D7ufas+Nb8YzngwHH6Dcp8LLQGk9HIyo9mMm76h7i4eTF97AtUrdME32Kp/7dtu71I227m48iRgF1sWbOSwg5OAHz36RwqVa/H0CmzSU5K4m5iglXzKmWgfccJrPhyBNHRoQwaspyzp/8gLCz1mtDtyCC+/HQICQkxlC5bj05dJvPpR+bvryOH1hOw90e6dn/bqjkzhKZCp94c/GIBCdGR1B36OmFnjnIn9GZKkYiLZ9hz+h0ACnv7UaXXq/y54C1Myckc+HwexruJKIMNtV+dyK1zJ4i6nruVgwZlYFSXyYz/bChhUSF8NPxr/jy1k6uhqdu1TrkGFHEvSp85XahYrBJjuk5h6NJ+XL91lVcW9U5Zz6rXf+WPE9sBmPDsmyzbsJCjlw/xTM1O9GzyIl9sXpar2cG8X9TpNIzNX7xGXPQtOgxdxLUz+4gKvZZSJiYymE2fTuRuQix+ZWtSv+tINiwbQ/StQNYuGZ6ynucmf83VU3/lesaMDMrA4E5TePOLwYRHhzB/6Er2ndnJ9dDU/9uYuCg+WTebulmcd247tJYNe79nTI93rZ5V/PvJmCo5EwZsAzI3BwBP4CaA1tpoqVC5L6VUKaAw8AbmypWcugYUUEp5KaUU0Bb49RGXXQ88pZQq99CSZp5ADBALoLWOzUYLjV1A6Ucsi2X98cARwM+yveoAb2htbremtb6ktd7wiKvrDXwNbAY6pZmerf83wAe4mSbDDa115CNmyFLl4hW4eiuQG+E3STIms+HgNlo83TBdmRZPN+SXAPPVmaNXTuFYsDAejm4AHLh4lKi46CzXPaXbCOas+RCt9d+J+EClilQiNOI6YZGBGI3J7D32G9UrNE1XJuZOJJcDT2I0Jmda3sXRkyrlGrHjwGqrZczo8oWTeHgXxcOrCLZ2dtRq0JojB3bct3zA7k3UbtgGAKUUBQraA2A0JmM0JqOU9TO7FCnNnfAQ4iJD0UYjgcf24F2hRroyxruJKY9t7ApAmv/3iCtnuBsXa/2g2VCrVi2cnJzyOkY6bZrXZ9WaLQAcOnoGJ8dCeHq4Zir3+679KY8PHz+Lj5c7AHFxqT+M7O0LWPWzd/nSSTw9i+LhUQRbWztq127NkcM705XZt3cT1as3w83NGwBHx9T3YjQauXs3EaMxmbt3E3B2flgd+d/nXaQCtyMCiYq8icmYzJlj2yhVIf333c1rJ0hMiLU8PomDU2qupLvxABhsbDHY2Fp1+95z8fRJvPyK4Onrh62dHXWbt+bg7l3pyiiliI+LQ2tNQnwchRwdMdjY4OLmjn/Z8gAUtC+Eb3F/IsLCrJ65TdvGrPpxIwCHDp3AydEBT0+3TOV+/z31B9CRI6fw8fUEoGxZf3bvNu/jFy9cpUhRH9zdM38OcjVzy/qs+sXy2TtyGieHwll/9nbuS8189EzKZ+9xu3T+JJ4+RfHwNh9HajduzeF9O+5bPmDnJmo3Nh9H4uNiOXfiMI1adwHA1s4O+8IOVs3rV6QiERE3iIwMwmhM5sSxLZSv0DhdmevXjpOQEAPAjWsncHTyTJl39coR4u9zrmEtTkX8iQsPIz7yFtpoJPjYfjwrVE1XJv1xL3/aw17KPGVjgzLYpDsm5pbyRZ8iMPw6NyMCSTYm8/vRzTSo2DRdmQZPNeG3g+bT1VPXTlC4YGFcHdLvt9VL1yYw/AYht80XwYp6FOfo5UMAHDi/j8aVmud6dgD3ImWJCQ8iNjIYkzGZy8d2UqxC3XRlwq6d5q7lOzns2hnsHTN/5nxKVSU64iZ3bodaJWdaZYpU4mb4dUIizdt817HfqJPhvDPqTiTnA0+SbMp83nnyyiFiHvO+/I9iMj2Zf/9QUqmSczOBcZZWDWktAM4qpX5WSr2qlCrwkPX0Ar4D/gDKKaU8H1L+QVYBPYD6mLv+JGaYP0cpdcTyl7adtQmYDbz2iK9zFAgBLiulvlRKZeeSZkfMrWoemVLKBSiDuULmKeCI1tp4n+IF07zHI8C0DPOfx9yt6TvSV2I96P/t+bTrtLSc+R/Q0fJ8nqW71d/i5exBcGTqQSjkdhhezu4PLBN8OwwvpwefSDav1IDQqDDOBl78uxEfyMXRk/Co1JYwEdEhuDg9+u7cp/0Efti08LH8OLrndkQorm5eKc9dXL24HZ71D53ExHhOHNlDjTotUqaZjEbeGd+LcS+3okLlupQsY+VWKkABJxfio8JTnidERVDQMfMPDu+KNWk2Zi51+k3gyE+fWD3Xv423lxtBwan7QlDwLbyz+DF6j62tDd07tWD77pSembRt2YBdGz5nxbLpjH1jntWyRt4OxcU1zX7s4klkhhPakJBrxMXFMHv2IKZN68tff61PKdumTV8mTezAuLFtKViwME9VSn8ibQ2FHd2JiUrNGBsdlq7SJKNKNTtw+Vzqj2ilDPQd/jmDp6zh2oUDBN84bdW8AJG3wnD1TN3Orh6eRN5K/33RqlsPgq5eYXi3dkwZ0JsXRozFYEh/qhV2M4ir589SquJTVs/s7e1JUFBIyvObN0Px9rn/97KtrQ3Pdn+G7dvNraxOnTpPu3bmK7xVq1akSBHvlAoXq2X2cifoZuq+cTM4DO8HVJjY2trwbJdWbP8jtYKzRtWKbFn7KV9/NoOypUtYMy63w0NxdU/z+XN7wHEkIZ7jh/ZQo775OBIWHIiDkwtfLJzK1FG9Wf7BNBIT4q2a19HRk6io1H0iKjr0gZ+96jU7cf7cHqtmepgCTs4kREWkPE+IiiS/o3Omcp4Vq9FgzDSq9xvJyZ+Wp85QirrD36Lpa/MIv3CaqBt/q6d2ljycPAm7nbpdw6JC8MiwXT0cPQmLSlsmFA/H9GWaV2nN70d+S3l+OeQiDSo2AaBp5ZZ4OnthDfZO7tyJSt1v70Tdwt7x/se8MjXbEHjuQKbp/pWbcPnoziyWyH1uTp7cSnPeGR4Vgpujdb+fhLgfqVTJIUvLjADMLR/STp8G1MTcEqI3sCnz0un0BL63tHhYjblSJKf+Z1n+XkVNRhO01lUtf30yzPsWqKuU8n/Yi1gqNNoC3YFzwAKl1NSHLDbHUskxCLjXBj6rX89ppzVSSh0DgjGPqfIofVfi07zHqsBb92YopWoBYVrrq5hbGlW3VNg87P/th7Tr1FrHa61vYO4iNAVzpdQ2pVQLMlBKDVJKHVBKHbh94sHxs2rkkLF+QWXRFEJnuRnNCtjlZ3CbF1m04fP7lsk1WTXTeMQKkqrlGhFzJ5IrQdb/YZRWltvuPs1Njh34g9Llq1DIIbVFhcHGhrfnfsfsj3/lyoUTBF7LPOZG7nu0fSD41AG2LxhPwDfzKd/q73yt/Ddl+Vl7wO48460R7D1wnICDJ1Kmbdr6J43bv8xLI95h4sisGjbmkqx24wz7idGUzNWrpxk1ahFjxixh/brPCQ6+yp070Rw5spOZs9Yyd94mEhPj2bNno/WypgTMavtmvYGL+lejUo32/LHpozRlTXyz5GU+nd0d7yLlcfN86KHrb3uUCt/jAXspXqYMS1Zv5L3PvmHFwjnE3UltGZYQF8eitybTd8RY7AsVfsCackfWX8v3fx/vz5zEvr2HCdh3BIAli1fg5OTA5i3f8NLLz3HixDmMyfe7ppE7sv7sPSDz1NHs23+MgAPm6zXHT52ndtNetOo0kC+//oUvlmW8tpK7ssx2n+PI0f1/UKZClZSuPyajkasXz9CsXXemLvqWfAUKsnGVlccHepSTDYsS/jWoXqMjWzYtsW6mh3q0ZqChpw7z54K3OPLNUkq36pw6Q2v2LpnGrlkTcSpagsJevo8lY+Z948HHb1sbWxpUbMKO41tTps3+cRpd6j3HxyO+wT6/PUnJSbmWOKe8S1amTM3WHNz0RbrpBhtbilaow5UTfzyWHBmPc/Dgc2IhrEnGVPl73sfcOiRd+1+t9UVgmVLqUyBMKeWmtQ7PuLBSqjLmFhhbLCcR+TAPzLo0J2G01sFKqSSgFeaBcetnY9lkpdQ84JEGNdDmI0UAEKCU2oJ5zJipD1gkq/FcwgGXNM9dgbRjzdwbU6UssFsp9TNwEqiilDLc63qTDb2A8pZxbQAcgWcxj9GS5f/bg1amtU7E3MXqV6VUCOYBfLdlKPMJ8AlAuRGNHvhNH3w7DG+X1Bp2L2cPQqNupS8TGZqujLezB6FRmXatFMXc/Sji5sOayV+mlF898XN6zB3ErZiI+y6XE5FRIbg5eac8d3X0IjL60Zq3lylelWrlm1C5bEPsbPNRMH8hXu3xHh//aN0+8S6uXkSEp141iowIwdk16yuiAX/+Ru0GbbKcZ1/IgbJP1eTEkb/wK5at3m3ZlhAVQUGn1F2zgJMrCdH373kWceUM9q6e5LN34G5cjFWzPen69+5In+7tADhy4iy+3qlXEH293QkJy/qzNnZoX9xcnJn49jtZzt934DjFi/ri6uxIxO3cb2rs4uJJZESa/TgyNFMXHhcXLwoXdiZ//oLkz1+QsmWrceO6eeBJd3dfHBzMX8XVazTj4oVj1KvXLtdzphUbFYZDmpZshR09iI2+lamcu1dJWnWdyOqvJpAQn3nbJSbEcv3yEUqUrUN4mrELrMHVw5OI0NTtHBEWiot7+u2889f1dOz9IkopvIsUxcPHl5vXrlKqwlMkJyez6K1J1G/ZhlqNsx5XKjf069+dPn26AHDk6Cl8fVOvbPv4eBISnPX38pixr+Dm5sIrE1IHzIyNvcPYMdNTnu8N+IVr14JyP3OfzvR5vr0587Gz+KZpTePj7UFIaNafvTHDX8TN1YlXhs1Pkzku5fHvO/fx/tRRuLg4EhlpnWb+Lu5eRNxK8/kLf8BxZNdvKV1/zMt64uLuScly5laONRu0tHqlSnRUKE5OqfuEk6MnMVl89ry8StO562t889Vo4rP47D1OCVGRFHBKbZFZwMmFxOjb9y0feeU89q6e2NkXJilNd9fkhHgiLp3DrUwlYkNydz8OiwrBI00rEg8nL25l2K5h0SF4OKUt45muTJ1yDTgXeIbI2NTzs2thV5jwuXlMoSLuxahbPn03ydwSF3WLQmla1hRycicuOvPnzsW7BPW7jmbr8jdJjE9/TuFXtibhQRdJiL1tlYwZ3YoKwT3NeaebkxcRj3jeKURuk5Yqf4PW+gxwCvOdcgBQSrVXqZdZymC+y8/t+6yiFzBVa13C8ueLedyQ4n8j1lvApAd0j3mQ5ZjvqPPADvVKKV+lVPU0k6pivsNRdu0A+qbZXv0w38UoHa31Ocx3R5pkqfg4ALxzbzmlVBmlVOeMy2XIbMDciqfyve0NdMbSBSib/28opaorpXzTrLsyOdsGKY5fO0MJjyIUcfPBzsaW9jVa8Pvx3enK/H7iT7rUbgtAlRIViUmIJSyLg949525eov5rnWgx9TlaTH2O4NthdJv9cq5XqABcCjyJl1sx3F18sbGxpW7lNhw+82hNQH/cvJjRs9swbm47PvxhMqcv7bd6hQpAidIVCb15nbCQQJKTktj/52aq1GySqVzcnRjOnTpE1VpNU6bFREUSd8d8QnE3MYHTx/bh7VfC6plvB16kkLs39i4eKBsb/CrXI8QyKO09hdJ0BXHyLYHBxlYqVB7B8m/X0arbEFp1G8KmbX/RvXMrAKpXKU90zB1CwzJ/bnp3b0vThjUYOv79dFclSxRLvRL6dMXS2NnZWqVCBaCEf0VCQq4TFhZIcnISAQGbqVI1/RgJVas24fy5IxiNySQmJnDp0gl8fErg6ubNpUsnSExMQGvN6dP78fEtYZWcaQUHnsHZrQiOLj4YbGwpX7kFl878ma6Mg5Mnnfq8y6+r3uN2+I2U6QXtnchfwNzKw9Y2H8VK1Ug3wK21lCxfkeAb1wm9af6+2Pv7Zqo3aJSujLunFycPmbuhREWEc/P6NTx9/NBa89ms6fgW96fd8xkbiuaur5avonWrvrRu1Zffft1J9x7mCrLq1SsRHRNLaBYVFL16d6Zp07oMG/JGuv3Y0bEwdnbm62+9+3Rm394jxMbm/p1Hvlq5htadBtG60yB+27qb7l0sn72qFe772evVox1NG9Vi2Jh302X2cE+9VlO1cnkMBmW1ChUA/zIVCQm6Tliweb8I2LWZqrWzPo6cPXGIanWbpkxzcnHH1d2L4BtXADh9NCDdQOnWEBR4Gle3oji7+GBjY0ulyq04cyb92EBOTl4832cmq1dNJTz8ulXzPIrowCvYu3tS0MUdZWODd+VahJ5Ofy+Ggq6pp64OvsVQNjYkxcViV6gwtgUKAmCwtcOtdAXuhOX+oP1nb5yiiFtRvF18sbWxpXmV1vx1Ov050F+ndtGmhrnysGKxStxJiCUiJrVSpUXVNmw7mr6Bu3Mh8/6slOKF5i+zdu9PuZ4d4FbgORzdfSns4oXBxhb/yk24fnpvujKFnDxo1udN/vhxDtHhgZnWUbJKUy4f3WGVfFk5H3gSX/dieFm2eePKbQg4/WjnnQKUyfhE/v1TSUuVv+894HCa5y9g7g4TByQDfR5QwdETeCbDtJ8t0/cBLZRSN9LMu9eGf4OlRQrAHtK0bNFaP2i47TlKqTfSPK+ddqbW+q5S6gPMtxZ+EDtgrqVSIQHzwL05uZfsJ0B54KhSSmOuLJlyn7IfAeMt3ZNewXxL5QuW7RwOTHjIazUGArXWaY8Cu4CKSikf7vP/ZqlneV4plfbSwFDMrVw+VUrdu+9oAPC32scaTUam/biAz4bOw0YZ+GnvBi4EX6FnA3N90fd/rmHnyT00qViXLW99T3xSAq99k3pFcV7/t6lduhouhZ3YOe0nFm/8glV7H3X83r/PZDKyYt1MJvZfhlIGdh1aQ2DoRZrVNt+mbnvAKpwKu/HO0G8pmL8QJq1pU78Pkxd1I8FKtwd8GBsbW3q/PJGF7w1Hm4w0aNYZv6Kl2LHZ3KiqaWtz9sMB23mqSl3yW07MAKJu3+KLJW9jMhnRWlOzXkuq1Gic5evkJm0ycXztcuoOmIxSBq4d3EFMaCDFa5t7n10N2IZPpdoUqdYIbUzGmJzEwe8Xpyxf/fnhuPtXIF8hB1pNWszZrT9x7eAOq+d+kLFjxxIQEEBkZCSNGzdmxIgR9OiRt12Wtu0MoEXj2vz12/KUWyrf8/XH7zL+jfmEhEUw8+1R3AgKYd135q/NjVt3s+DDlbRv3ZDunVuSnGQkPjGRIWPfs1pWGxtbeveZwMIFIzCZjDRo2Ak/v1Ls2GHZj5t2x9fXn0pP12Pq271QStGocRf8iphbVdWo0YLp0/pgMNhQrFg5GjfuZrWs92iTke3rFvJs/7koZeDEoY2Eh16hcm3z+OHHAtZSt3l/Ctg70aLTGMD8HfPth4Mo5OBG2+6voQw2KKU4d3w7l89af8wHG1tb+o2ewOzxIzGZTDRp15Ei/qXYtsb8I6dF52fp0u9lPp4xjcn9ewGa518djoOzM2ePHWH35l8pWrI0r71srlR5buBQqtZtYNXM27b9SfMW9flzz2ri4xPStTpZ8c0CJox7j5CQW8ycNYkbN4JZu87cVXTjxu0sXPA5Zcr4s+iDtzGaTJw7d5nxY61/l4xtO/bRvEkd/tz2jTnz5NmpmT+dwYTX5xISGs7MaWO4ERTC2h/Nh957t05u37YJL/buhDHZSEJiIkNHWzezjY0tfQZPZMHbwzGZjDRs2Rm/4qXY8avl8/eM+ThyaM92nqqW/jgC0PvViXwy7w2MyUm4e/nx0uipVs1rMhnZuG4uL/T/AIMycPjQOsJCL1OzdlcADgT8TJPmL2Nv70T7ThNTlvnkw/4AdH9uOiVKVsfe3pmxE9exY9snHDq4zqqZtcnEmbXfUn3AaJRSBB78kzuhQRSxVF7dCNiJV6Ua+Farh8loxJR8l2Pfm8cSy+/gRKXuL6GUAWVQBB8/wK2zx3I9o9FkZNGa2cx5eQkGgw2/7l/DlZBLdKrzLABr9/3E3jO7qVOuASsnriHxbgKzfpyasnx+uwLUKF2HeavfT7feFlXb0qWe+Xj4x4nt/HrAOreD1iYTe9cuo9WAd1HKhgsHN3M79BrlapsrZc8GbKRK897kt3egXidzyxmTycj6D0cB5sGBfUpX46+fP7BKvqyYTEY+WjuTdwYsw6AMbD24hmuhF2lrOe/cFLAK58JuLBj2LfaW885ODfowdGE34hPvMP75GTztXxPHQs58Oek3vt26jC0Hf3ls+cW/i3qcg0IK8V/2sO4//zR1HJ+8lg2vPL/74YX+YW5/PyivI2RLp/e/zesI2eZboXVeR8i2Hz61ztVIa9n/a/u8jpBtjUZY94egNXSp1iqvI2RPYeuPG5PbfthgnR+t1rTlq0xDuv2jNdCV8zpCtr1vPJTXEbKlv82TN2DrT9x8eKF/mHXvH3kM9320jmMfn3yifpfcU/nVp/6R21xaqgghhBBCCCGEEP8RKttDU4oHkUoVkWuUUkuBjG2ZF2mtrTyUvRBCCCGEEEII8fhJpYrINVrrYXmdQQghhBBCCCGEeFzk7j9CCCGEEEIIIYQQOSAtVYQQQgghhBBCiP8Kk4ypkpukpYoQQgghhBBCCCFEDkilihBCCCGEEEIIIUQOSKWKEEIIIYQQQgghRA7ImCpCCCGEEEIIIcR/hZYxVXKTtFQRQgghhBBCCCGEyAGpVBFCCCGEEEIIIYTIAen+I4QQQgghhBBC/EcokzGvI/yrSEsVIYQQQgghhBBCiByQShUhhBBCCCGEEEKIHJBKFSGEEEIIIYQQQogckDFVhBBCCCGEEEKI/wq5pXKukpYqQgghhBBCCCGEEDkgLVWEeEy+r/V1XkfIlrlnu+R1hGzr9VzXvI6QbUkl7fM6QrbYVmid1xGyLej05ryOkG0uBdzzOkK25KvXIK8jZNu8z5rldYRsW3fi97yOkC22NnmdIPvaVWub1xGy7Z0+znkdIVsclEdeR8i2yTZV8jpCtrz08428jpBtyRWL5nUEIXJMWqoIIYQQQgghhBBC5IC0VBFCCCGEEEIIIf4jlDbmdYR/FWmpIoQQQgghhBBCCJEDUqkihBBCCCGEEEIIkQPS/UcIIYQQQgghhPivMEn3n9wkLVWEEEIIIYQQQgghckAqVYQQQgghhBBCCCFyQCpVhBBCCCGEEEIIIXJAxlQRQgghhBBCCCH+K7QprxP8q0hLFSGEEEIIIYQQQogckEoVIYQQQgghhBBCiByQ7j9CCCGEEEIIIcR/hZZbKucmaakihBBCCCGEEEIIkQNSqSKEEEIIIYQQQgiRA1KpIoQQQgghhBBCCJEDMqaKEEIIIYQQQgjxX2GSMVVyk7RUEUIIIYQQQgghhMgBaakixD/YkYv7+WrzR5i0keZVn6Fz/efTzT959Shzf5yKp5M3ALXLN+DZRn0B2LBvNduP/ApKUczDn8Edx5HPNp9V81YuU58X2k/EYDCw48DPrNv1Zbr5Pu4lePXZdyjhW4H/bVnCxt0r0s1XysC7Q78lMjqUuV+PtGrWtKa9PpTmjWsTn5DImClzOHHqQqYyi+dMpkqlsiQlJXPk+Fkmvb2Q5OTUWv4qlcqy7ocPGDL2PTb89ofVM7/36kBa1qpBfGIiI+Yv4vjFS5nKvNShHa926YS/rw/le/YlIjoGgGebNmFEj24A3IlPYOLSZZy8fMWqeae/NpTmjWuZt/FrczmexTZeMnsyVSqVISnZyJFjZ5g4dRHJyUbaNK/HhJH90CZNstHI2zOWEXDopFXzPsiUKVPYsWMHbm5urF+/Ps9yZDRz3vu0atuS+Lh4hg4cwbEjxzKV+eCjhVSrXhWlFBfOX2TYwBHcuXMHJ2cnlnz8Af4lS5CQkMiIV0dy+tQZq2d+b8RAWtSpQXxCIiNnLeL4+Sz24y7tGNS9E/5+PlTonLof169Sia/efY1rwSEAbPhjL/NX/GD1zNPem0DzFg2Jj09gzMi3OXE883aau+AtqlSpCEpx+eJVRo98m7i4eEqVLsGCRVOp9HR5Zs1YysfLvrZq1iN797Bi0XxMJhPNOnSi8wv90s2Pi41l6bS3uRUSjNFopEOvPjRt35G7iYlMGz6YpLt3MRqN1GnWnB4vD7Jq1nsO79nDlwvnYzKaaNGpE11fTJ/5Tmwsi6emZu7Uuw/NOnQEYGjXLhSwt8dgY8DGxoZZX371WDIDTJs6iubN6pn3i/Hvc+LEuUxlFi96i8pPlycpOZkjR08zecpskpONDH61F107twbAxtaGMqWLU6VaB25HxVglq1+ZmtTtMBiDwYaz+3/l2K7/pZtfqkozKjd+DoCkuwn8tWYxEcHmz2a+AoVo2G0MLl4lQGv++Gk+oddPWyVnWs5lylCifQeUwUDIgf0E7dqVbr5LhQoUbdkStEabTFzZsIGYq1cp4O5O2Z49U8rld3Hl+ratBP/1l9Uzu5epRIUOvcGguLH/Dy7v2phuvmeFqpRp2RVtyXx6w3fcvnoeg60ttQdOxmBrZ36/Jw5wYdsaq+eFJ+dY/d5Lg2hZvQbxdxMZsXgRxy9fzFSmmKcXH4+ZgIuDA8cuXWTYB/NJSk7GqVAhFg0bRQlvbxLuJjF66SLOXL8GgKN9IRYMHUH5YsXRWjN66SIOnDtrlfcg/l2kpYrIRCnlrZT6Xil1USl1Sim1USlV1jJvjFIqQSnllKa8vVJqpVLquFLqhFJqt1KqsGVebIZ191dKLXmEDEeVUt9lmLZcKXXZMu+cUmqFUsrPMm+HUqpNhvKjlVIfWh57KKWSlFKvZihzRSn1U5rn3ZVSy9M8f0YpdUApdVopdUYpNdcyfapSKlApdSTNn/PD3ld2mExGvti0lMk932Xeq5/y58nt3Ai7mqlc+aKVmDVwGbMGLkupUImIvsWm/b/w/ktLmDvoE0zayF8nd+RmvEyUMtC/4xRmfzWMiYu6Ua9yW/w8SqYrcyc+ihXrZ7MhQ2XKPW3r9yYo7LJVc2bUvHFt/Iv70bBNfya9tZAZb2ddmfPzut9p/MxLtOg0iAIF8tO7+zMp8wwGA6+Pf4Uduw8+lswtatagpJ8PdV4ZzLgPljJ7+JAsywWcOk33197iWkhIuunXQkLoPOk1mg4bxbzvf2DuyGFWzdu8cS38i/vRoO0AJr69kBlvZb2NV6/fRqN2L9M8wzb+Y+9hWnYZTKtuQxj7+jzmTh9r1bwP061bNz777LM8zZBRqzYtKVW6JDWeqs3oYWOZ98GcLMu9PuENGtVuSsNaTbhxPZCBQ14GYNzEMRw/doKGtZow5OWhzJj3vtUzt6hTA38/H+r2Hcz4eUuZPeY++/GJ0/QY91ZK5Ula+46fosXAMbQYOOaxVKg0b9EAf/9iNKzbmUnj32XG7ClZlpv65jxaNe9Jq2bPExgYzICXzRXit29H8ebrs61emQJgMhr5cv4cJs1dyNxvvuevrZu5cTl9pdXm1avwK+HPrK9W8tbiZXyz5AOSk5Kwy5ePNxYtZdZXK5m5/BuO7t3L+RPHrZ7ZaDTy+bw5vD5/IQu++54/t2zmeobMv61aRRF/f+Z+vZKpS5fx1QcfkJSUlDJ/6tIPmbvim8daodK8WV38/YvSsElPJk2Zw4x3x2dZ7udfNtOkeW9atn6RAvnz06unuTLoo4+/o027AbRpN4CZsz5m774jVqtQUcpA/U7D2Lz8DX5aOJCSVZrh7FksXZmYyBA2fDqBnxcP4cj2lTToOiplXt0OQ7hx7gA/LXiFnxcP4XbYNavkzBAa/46dOP3Vco4sWoh75SoU9PBMVyTq4kWOLV7MsSVLuPjTakp1NV84SLh1i2NLlpj/li7FlJRExKlTjyVzxU59ObB8AbsXvoFPlToU8vRNVyT84mn+XPw2fy2ZyvHVX1CpW38ATMnJ7P98Dn8tfpu/Fk/FvezTOBUtmcWL5K4n5VjdonoNSvr4Umf4q4xbtpTZg7I+drz5Qn8+Xr+GusNfJSo2lj4tWgEw+tnnOHH5Ek3HjmT44gW8+1JqhfF7Lw3k98OHaDByCM3GjeTcjRtWeQ/i30cqVUQ6SikF/Azs0FqX0lpXBF4DvCxFegH7ga5pFhsFhGitn9ZaVwJeBpLIIaVUBcz7ZmOlVKEMsydorasA5YDDwHalVD7gO6BnhrI9LdMBegB7LfkzqqmUeiqLHJWAJUBfrXUFoBKQ9uxugda6apq/29l5nw9zIegs3q6+eLn4YGtjR/2KTTlwbs8jL280GbmbnIjRZCQxKREXB7fcjJdJqSKVCIm4TlhkIEZjMnuP/UaNCk3TlYm+E8mlwJMYjcmZlnd19KRquUZsP7DaqjkzatOiHqvWbAXg0NHTODkWxtPDNVO533cFpDw+cuwMPt4eKc9f6tuZDZt3Ex5x2+p5AZ6pW5v/bdsOwMGz53AqVAhPF5dM5U5cusz10NBM0/efPkNU7B3z8mfO4utm3X2jTfP6rFqzBYBDR8/g5FjoPtt4f8rjw8fP4uPlDkBcXELKdHv7AmitrZr3YWrVqoWTk9PDCz5G7To+w/crzVebDwQcxMnZCS9vr0zlYmJS67kLFkzdluUqlGPXdvOV3/PnLlCseFE8PD0yLZ+b2jaozY+bLfvx6XM4FiqEp2sW+/GFy1wPybwf54U2bZuy6kdz66RDB4/j5OiAp6d7pnKxls8XQIEC+VO2c/itSI4eOUVSUubvwNx24fQpvIsUwcvPD1s7O+q1bMWB3emv7qMgPi4OrTUJ8fEUdnTEYGODUooC9vYAGJOTMRqTMZ8eWDnzqdTMdnZ2NGjZigMZWiSoLDLb2NhYPduDtG7ViFU/bQLg0OGTODoWxtMz8/fq79v3pjw+cvQUPj6emcp06dySNZZjkjV4FClHdHgQMZHBmIzJXDq2g2IV6qUrE3rtFHcTYi2Pz1DI0byP2+W3x7vE05w7YH6vJmMydxPuYG2FixQhISKcxMhItNHIrWPHcKlQIV0Z0927KY8N+eyyPE44lSpFQkQEd2/ftnZknIuUJC48lPjIMLTRSPCxfXhVqJqujPFuYspjW7v8kCbzvXnKxgZlsIHHcNh7Uo7Vz9Sqy/92/g7AwfNnzedAzpmPHQ0rVWbdnj8B+GHHNp6pXReAskWK8sdxc0vOC4E3KObpiYeTM4ULFqRuxUqs3LYZgKTkZKLjrL9/5xWljU/k3z+VVKqIjJoBSVrrj+5N0Fof0Vr/oZQqBRQG3iB95YQPEJim/FmtdSI51xv4GtgMdMqqgDZbAAQDzwCrgA5KqfwASqkSgC+w27JIL2AcUORe65Y05mKuOMpoIvCe1vqM5TWTtdYf/o33lS0RMeG4OaT+qHF1dCci5lamcucDTzPx08HM+O51roddSSnboW53hi1+gcGLemGfvxBVStawal5XR0/Co4JT80eH4OKU+YTxfl5oP4HvNi187D+Yvb3cCbqZ+oPtZvAtvL0y/0i6x9bWhmc7tWT7H+aTCm9PN9q2asjX3z++biDe7m4EhaXuC0G3buHjnrOKkT6tW7Ht4KHcipYlby83goLDUp4HBd/CO4sfHPfY2trQvVMLtu8+kDKtbcsG7NrwOSuWTWfsG/OsmvdJ5OPrQ+CNlK9hggKD8PH1ybLskk8+4OzVU5QpV4ZPPjS3uDlx/AQdOncAoHrNahQtVhRfP98sl8+1zO5uBIam7sc3c7Af16hYjt8/W8i3M9+iXImiuR0xE28fT4ICU1vM3LwZirdP1pVP8xdO5ciJLZQuU4IvPrd+K5qMIsNCcfNMrVhz8/AkMiwsXZk2z/Yg6OplhnZpz8R+vXlx1BgMBvOpocloZHL/vrzasS1P16xN6acqWT1zRIbMrp6ehGfI3LZ7DwKvXGZQx/aM69ubAWNSM6Pg3VEjmdj/Rbb88rPV897j7e1OUFDa40jow48j3dqwY8fedNMLFMhP0yZ12PjrDmtFxd7JjTtRqds0LupWSqVJVsrWbMuNc+bjnYOrNwl3omj07Di6DF9Kw66jzZUBVpbP0YnEqKiU53ejo8jv5JipnGvFilQdPYYKL/bj4uqfMs13r1yZ8GNHrZr1nvxOzsRHRaQ8T4iKJL9j5h/+nhWr03DMe1TvN4oTP6XpMq0U9YdPpflrCwm/cJKoG5m7Rua2J+VY7e3qRtCtNOdA4eH4ZLg45OrgSPSdWIwmU0oZb1dzmZNXLtO+rrkisVrpMhTx8MTHzY0SXt6ER0fxwfDRbJuzkPlDRmCf3/r7t/h3kEoVkVEl4H59GHphbvnxB1BOKXXvF/MXwCSl1B6l1LtKqTJplimYtosMMO0RMjwP/GB5raxalqR1CCivtQ4HAoC2luk9gR+01lopVRTw1loHAP+zrD+t/wHVlVKlM0x/0LYAGJPmvW1/6LvKtsyVCxmvFPp7l2bJ8K+ZPfAj2tbqzLwf3wEgNj6Gg+f2sHjYVywb+S2JSQn8cXxb7kdMHy7TpEetIKlWrhFRdyK5EmT9ftkZKbKX+/23RrLvwHECDp4A4J3XhvL+3M8wWQ7cj0N2M99Pg8pP07t1S6Z/Yd1m8lld4X5Q3BlvjWBvmm0MsGnrnzRu/zIvjXiHiSP73X/h/6ist3HWG3n4oJFU8K/EuTPn6NqjCwAL5yzC2cWJXfu2M2joQI4dOY4x2cqtKbLKnI3LscfOX6RGz4E0f2U0n/+8geXTs6obz11ZtdW43748dvRUqlduw/lzl+lkGS/jccoyV4ZtfmzfXoqXKcuHv2xg5pdfs3zBXOLumFsoGGxsmLn8G5auXsfF0ye5finzmAW5HzqryOkzH9m3lxJlyvLJug3M+eprPp+Xmvndjz9l9lcreH3+Qn77aRWnDh+2fuYsMsKDv+Pef3cc+/YdJWB/+nGPWrVswP4Dx63W9cfs0T93PiWrUK5mG/Zv+hwAg8EGN9/SnNm3nl+WDCM5KYHKTTKeUllBFh+8rLZvxKlTHFm4gDMrv6Foy1bpV2Fjg0v5CoQfP5F5QavI8tsi05TQU4fYveB1Dn+zhNKt0jQC15q/lkxlx6xxOBX1p7BXxuuBue9JOVZn1Wgu4/HuQWU++HkVToUK8/vcRbzSriPHL1/CaDRiY2ND5ZKlWP7bRlpMGE1cYgIjuna3xlsQ/0IyUK3Ijp5AV621SSm1GnOXmqVa6yNKqZJAa6AlsF8pVU9rfRqI11pXvbcCpVR/oOb9XkApVQsI01pfVUrdAL5QSrlorSPvt0iax/e6AK2x/PtSmtz3RmH7HvgcmJ9mOSMwB5gC/PqQbZDWAq313AcVUEoNAgYBvN7/PZ5t1vuRV+7q4E54TOoVg4joW7gUTl8Tb58/tXdUtdK1+XzTEqLjojh19Sgezt44FnIGoHa5Bpy7cYpGT7d45NfProioENwsA+YCuDp6cTs67AFLpCpbvCo1yjehatmG2Nnmo2D+Qgzp8R7LfnzdKln79e5Enx7tADhy/Cy+Pp6AeTA1H293QkLDs1xuzLC+uLk68cqIhSnTKlcqw4fzzT/mXJ2daN64FsnJRn7blruD4L3UoR1925hPEg+fv4CvR+qVRV93d4LDI+63aJYqlijOglHD6PnWNCJjcv8Evn/vjvTpbtnGJ87im6a7lK+3OyFhWW/jsUP74ubizMS338ly/r4Dxyle1BdXZ0cibkfneu4nySuvvsSLL70AwKGDR/ArknrS7evnS/DN4PstislkYvWqXxg5ZjjfrviOmJhYhg9K7T9/9Owhrl7JPIbT3zWgSzv6tjfvx0fOXMAvTdcZH3d3gm89+n4cGxef8njbvoPMHP0qro4OKQPZ5pZ+A56jT1/zj50jR07i65faksLHx5OQ4Pt/z5lMJtau2cyQYf343/drczXXw7h6ehIemtqqJjwsFBf39C0SdmxcT+e+L6KUwrtIUTx8fAm6epXSFVN7xBZycKBCtRoc3buHoiVLPdbMEaGhuGbIvH3Derq+YM7sU7Qonr6+BF65SpmnnsLVw/w94+TqSu0mTblw6iQVq1WzStZ+L3ajt2VMlKPHTuPrm9oy08fbk5DQzC1LAcaMGoCrqzOTpmQ+vnXu2JI1a63X9QcsLVOcUr+P7Z3ciYvO/H3s4u1Pw66j+W35GyTGmz9Td6JucSc6jLAb5oE7L5/YTRXLgLbWdDcqivxpulzmc3TibvT9v/9jrlyhgKsrtvb2JMfFAeBctix3goJIuhN73+VyU2JUJAWdUrvOFHByITH69n3LR145h72rB3b2hUmKS82YnBBPxKWzuJepRGxI4H2Xz6kn5Vj9Utt29G1pHjrx8IXz+Kb5XvB1cyM4Iv2xIzw6GsdChbExGDCaTPi6uRESaS4TGx/PqKWLUsoeWPYZV0NDsM+fn6DwWxw6bx5ket2ePxn5b65U+Qd3pXkSSUsVkdFJIFM/EaVUZaAMsEUpdQVzRUVKKxKtdazWerXWeijwDdAuh6/fCyhveY2LgCPw7APKVwPuNW/4BWihlKoOFNRa3+vT0Avob1nnWqBKhtY0YO5u1BhIO1pbltsiO7TWn2ita2qta2anQgWglG85giMCCb0dTLIxib9O7aBG2brpytyOjUipeb8QeAatTTgUdMTN0ZMLgadJTEpAa82JK0fwcy+W1cvkmkuBJ/F2K4aHiy82NrbUrdyGg2d2PtKyP2xezIjZbRg9tx1LfpjMqUv7rVahAvDVt2tp3XUwrbsO5rdtf9K9c0sAqlepQHTMHULDMv+w69X9GZo2rMmwce+nuyJSr+WL1G3xAnVbvMCGzX/w2rTFuV6hAvDF+o00HzGG5iPG8OuevTzXohkANcqVJfrOHUIj71fvmJmfhztfvjGFYXMXcikwKNezAiz/dh2tug2hVbchbNr2F907m39IV69S/r7buHf3tjRtWIOh49Nv4xLFUruhPF2xNHZ2tv/5ChWAzz7+gsZ1mtG4TjM2rt1Izz7mHzc1a9cgOiqakCwGdvUv6Z/yuG27Npw7ex4ARydH7OzsAHjxpRf4a/eedOOv5JYvf9mYMrDsr3/upUdry35coSwxd+4QGvHo+7GHi3PK42rly2BQhlyvUAH46sv/0bpFL1q36MVvv+6gew9LN6kaTxMdE0toFj+eS6TpitSqdWMunH+8A3ADlCpfgeDr1wkNCiI5KYk9W7dQo0HjdGXcvbw5ccDcdP92RDg3r13D09eP6MhI7lgqW+8mJnDiQAC+xUtYPXPpChW4ef06IUFBJCUl8efWLdRslDnz8TSZg65ew8vPj4T4eOLvmMc/SIiP5+i+fVatBPpqxeqUwWU3bf6D7s+aG8pWr/YUMTGxhGZROd+rZweaNKnN8BFTM11Zd3AoRN26Vflts3XvHhcWeBZHdz8Ku3hhsLGlZOWmXDudvhtSIScPWvZ5i50/ziE6PPWHfHxsJHeibuHkXgQA31JViQy1/kC1sYGBFHBzJ7+LC8rGBvfKlYk8k75lawHX1AqMQr6+GGxtUipUANwrV+HWY+r6AxAVeBl7dy8KurijbGzwrlyH0NNH0pWxd02tiHP0LYbBxpakuFjsCjlgW6AgAAZbO9xKV+RO2P0ryf+OJ+VY/cWmjTQfP4rm40fxa8BenmvSHIAaZcoRHRdH6O3Mx44/TxyjY70GADzftAWbAvYB5jv82Nma2xX0bdmavadOEhsfT+jt2wTdukUpX/MFisZPV+Hcjeu5kl/8+0lLFZHR78D7SqmBWutPIaX1yGxgqtZ6xr2CljvxFAeKAKe01pGWQWMrAjuy+8JKKQPm1i+VtdaBlmnNMI/h8lmGsgoYgXk8l01grthRSu3A3B3pO0u5ckAhrbVfmmXfwVwpNP3eNK11klJqATDZsg3A3HpltVJqt9b6nCXfaK112lYuVmNjsGFAm2G8/91r5tthVmlNUY8SbDloHrujVY0O7D39B1sPrcdgsCGfbX5Gdp2CUooyfuWpU74RUz4fhsFgQwmv0rSo9sxDXvHvMZmMLF83k0n9l2FQBnYeWkNg6EVa1DbX8m8LWIVTYTfeHfotBfMXwqQ1z9Tvw8RF3YhPzLuBwLbtDKB54zr8ufkr4hMSGftaauOjFR+/x4Q35xMSGs7MqaO4ERTC2u8/AGDjlt0s/PCbPMm8df9BWtaqScDnHxGXmMioBYtT5n37zpuMWbSUkIgIXunUgeHdu+Lp4sKOpR+w9cBBxi5awrjePXFxcGDWUPPNsJJNJlqPGme1vNt2BtCicW3++m15ym0a7/n643cZ/8Z8QsIimPm2eRuv+858BWnj1t0s+HAl7Vs3pHvnliQnGYlPTGTI2PeslvVRjB07loCAACIjI2ncuDEjRoygR48eeZpp86YttGrbkkOn9hMfF8+wNK1O/vfLd4wcMoaQ4BCWfb4EBwcHlFKcOH6ScSPMdykpV74syz7/EKPRyNnTZxkxeNT9XirXbN17kBZ1arLvm4+IT0xk1KzU/XjljDcZO3cpIeERvNKtA8N6dsXT1YXtn3/Atn0HGTt3CR2b1Kdf52cwGo0kJN7l1ekPbDiYK7Zt3U3zFg35c98a4uMTGDtqasq8FSs/YMLYaYSGhrNw8TsUdiiEUopTJ88xZaL50Onh4cavm7+hsEMhTCbNwEG9adqoe7qBbXOLja0t/ceOZ8bYkZhMJpq270jRkiXZ8ot5MPBWXbrRtf9LfPTeNCa+2ButNb2GDMPR2ZmrF86z7L1pmEwmtMlE3eYtqN6gYa5nzCrzy+PG897okZbbQJszb15tzty6Wze6D3iJpe9OY2yf3oCm7zBz5pDAQOZMngiY7yLUsHUbqtWr94BXyz2//76H5s3qsXvXDyTEJzB2fOrds1Ysn8OEiTMJCQ1nxnvjuREYwpqfPwbg1007WfjBcgDatmnMzl0BxMcnZPUSuUabTOxZu5S2A95HKQPnDm7mduhVytduD8CZgA1Ua96H/PYO1O80HDAf39d+OAKAPeuW0uS5SdjY2BITGcyuVY9hjCuTicvr1lKh/wCUUoQeOkh8aChetWsDEBIQgOtTlfCoVg1tMmJKSubc99+nLG6ws8OpdGkuPcZxdrTJxKm131BzwFiUMnDj4G5iQ4MoWrspANcDduBVqQa+1eqjjUZMyXc58r15OMP8Dk5U7v4yShnAoAg+vp+ws9avEHpSjtVbDx2gZfWaBCz9xHwOlKbVybevv82YDxcTEhnB9G+W8/GYiUzp1Zfjly+lDEBbtkgRlowci9Fk4tz1a4z+8IOU5V/7/GOWjRpHPjtbroaEMHLJQqu8B/Hvo/L6Lgrin0cp5QssxNxKIwG4grnlSYV7g7Zays0HQoCbwHjMXXEMwAZgkmU8k1itdeE0y/QHamqth2fxuk2BmVrrummm2QA3gOrADKAJEA3YY76bzxSt9Y005bsCq+9lVUpNBQporSenKVMZ+F5rXdHSeqWm1vqWZZDby8BmrXV/S9kOwDuW19PABq31BMt6BwJp23130Vpfud92PbziyhP1YZt7tkteR8i2HT9Z924l1pBU0j6vI2SL7eX4hxf6hwk6vTmvI2SbS4H7Dxz5T5TPcjXwSWJ76sm7ArnuxO8PL/QPYpu3N+XJkXbVOuR1hGx7p0/GGyX+s1VU1h043xqitHVailjLSz8/ebcCTq745A0KG/rTOuvfFs1KTs3a+ET9Lrmn4qR2/8htLi1VRCZa6yDgoZ1ktdZpb0C/4j5lCmd4vhxYfp+yO4C6GaYZMbdGAej/CJl+Js04K1rrqVmUOYa5NQ1a6xJppidivmNQ2rLrgUy3dbGsN9O6hRBCCCGEEOKfTMuYKrlKxlQRQgghhBBCCCGEyAFpqSLyhFLqdczjp6T1o9Y6bwdLEEIIIYQQQgghHpFUqog8Yak8kQoUIYQQQgghhHicpPtPrpLuP0IIIYQQQgghhBA5IJUqQgghhBBCCCGEEDkglSpCCCGEEEIIIYQQOSBjqgghhBBCCCGEEP8VMqZKrpKWKkIIIYQQQgghhBA5IJUqQgghhBBCCCGEEDkglSpCCCGEEEIIIYQQOSBjqgghhBBCCCGEEP8VMqZKrpKWKkIIIYQQQgghhBA5IJUqQgghhBBCCCGEEDkg3X+EEEIIIYQQQoj/CC3df3KVtFQRQgghhBBCCCGEyAGpVBFCCCGEEEIIIYTIAalUEUIIIYQQQgghhMgBGVNFiMek7Zej8jpCtnSsn9cJsu/7L37O6wjZ5rT567yOkC1Rr/XN6wjZ5lLAPa8jZFtkwq28jpAtJxfszusI2Zb4v0p5HSHbani65HWEbHHK92TlBdh67XJeR8i2dxY1yesI2bJBb8zrCNm294ZPXkfIlo+6PnnHvVnJ5/I6wn+LjKmSq6SlihBCCCGEEEIIIUQOSKWKEEIIIYQQQgghRA5I9x8hhBBCCCGEEOK/Qrr/5CppqSKEEEIIIYQQQgiRA1KpIoQQQgghhBBCCJEDUqkihBBCCCGEEEIIkQMypooQQgghhBBCCPEfoXVyXkf4V5GWKkIIIYQQQgghhBA5IJUqQgghhBBCCCGEEDkglSpCCCGEEEIIIYQQOSBjqgghhBBCCCGEEP8RGmNeR/hXkZYqQgghhBBCCCGEEDkglSpCCCGEEEIIIYQQOSDdf4QQQgghhBBCiP8KLd1/cpO0VBFCCCGEEEIIIYTIAalUEUIIIYQQQgghhMgBqVQRQgghhBBCCCGEyAEZU8XKlFJG4DjmbX0a6Ad4Auu11pXSlJsKxGqt5yqllgNNgChAAWO11tss5WoDcwEvQAO7gZHAc0BNrfXwNOvcAYzXWh+wPK8GHALaaq1/S1PudaA3YARMwKta632W5X2AeEvRC1rr7kqpcsDHgDOQH/hDaz3oPu+/KbAGuGyZdEtr3dLyfgcCYUA+YLrW+jvLMmnfP0Cc1rq+ZV4XYJplmWRgqtZ61X3eb4l72zmLHFjKblVKaWC+1nqcZbnxQGGt9VTL8xeBiZb/CwV8AbgCNlrrSZYyxYHtQHWt9e2stkVOvTdiIC3q1CA+IZGRsxZx/PylTGVe6tKOQd074e/nQ4XOfYmIjgGgfpVKfPXua1wLDgFgwx97mb/ih9yMl85TZerTq/1EDAYDfxz4mV93fZluvrd7CQY8+w7FfCvw85YlbN69ImXezPEbSUi8g0mbMJmSeffDPlbLmdaJ43/x3bdzMZmMNGrchXbtB2Qqc+bMAX74dh5GYzKFHZyZOPlTALZu/pZdu34BrWnUpCutWvd+LJkLly6KX9uGYFBEHDpN2O7DWZYr6OtB6Ve6cW3VFqJOXcLOsRBFu7bAtrA9aE34wVOE7ztu9bwnjv/Fd9/NxaRNNGrUhXbt+mcqc+bMAX74fr55Gxd2ZuKkTwDYvHklu/9YA0CRIqUZ8NLb2Nnlt3pmgJnz3qdV25bEx8UzdOAIjh05lqnMBx8tpFr1qiiluHD+IsMGjuDOnTs4OTux5OMP8C9ZgoSEREa8OpLTp848ltxZmTJlCjt27MDNzY3169fnWY60Chd3xrtpSTAobp8I4db+G+nm2xdxolinCtyNSgAg5kI4YfuuA+DbqgwOJV1Ijkvi4tdZ7//WcGTvHlYsmo/JZKJZh050fqFfuvlxsbEsnfY2t0KCMRqNdOjVh6btO3I3MZFpwweTdPcuRqOROs2a0+PlLA+buW7RokW0a9eOuLg4+vfvz+HD999eH3zwAQMGDMDBwSFlWpMmTVi4cCF2dnbcunWLpk2bPobUqWbNn0Grtq3Mn8NXhnE0i8/hPbMXzKT3i70p4lbsMSaEo/v28PUH8zCZTDRt35lOfTPvFx+++xbhlv2ifc++NGnXkfCQEJa9P5Wo8HCUQdG8Y1fa9uhp9bzVy9RnYAfzsXrL/p9ZleFYXcSjBKOefYdSvhX4evMSfk5zrB7ZbSq1yjcm6k4Ewxd1t3rWe6qVqc9Llsxb9//Mzxky+3mUYPiz71DStwLfbl7CGktmNycvRvZ4F5fCbpi0Zsv+n9jw17dWyzm972CaV6lFfGIiYz6dx/GrFzOVKeruxbJhk3Eu5MCJqxcY8dFckozJ1Cv/NF+OfpvrYcEAbDzwFwvWfEt+OztWvzaHfHZ22Bps2LB/N3N//ibXs3uUqczTHV5EGQxc3b+dC7vWpZvvXaEG5Vv2QGsT2mTixIavibh6FoCq3QbhVb4aiXei2bFoUq5nS6tO2XqM7jwegzKwLuAXvtnxVaYyozuNp175BiQkJfDe/6ZyLtCcs3CBwkzu/iYlvUuhteb9H6dx8tpxpvV5n2IexS1lHIhNiKH/wsdzHppXtIypkqukUsX64rXWVQGUUiuBwcDqR1hugtZ6lVKqGfAJUEYp5QX8CPTUWu9RSingWcDhQStKoxfmSphewG+WTPWADpgrAxKVUu6YKyzu6XOvkiKND4AFWus1lnU8/ZDX/UNr3SGL6QsslUhlgINKqVVa66S07z9tYaVUFcwVSq201peVUv7AVqXUZa31wYe9+QfkSAS6KaVmaK1vZXjNZ4DRQGutdZBSqgDwArAUOKyUWq61Pg0sAt7M7QqVFnVq4O/nQ92+g6lRoSyzxwzhmaETMpULOHGaLXsOsHrhu5nm7Tt+ir6vZZ6e25Qy0KfjFOZ/OZjI6BDeGLKSI6d3cjMstRLoTnwU362fTbWKzbJcx9zPBxIbd9vqWe8xmYys/HomY8d/iIurF+9Oe4GqVZvg61cypUxcXAwrv57J6LGLcXPzITo6AoDAGxfYtesXXn/zK2xt7Vg4fwSVKzfEy9vKJ/NK4deuEZe/XkdS9B1KD3yW6LNXSAyLzFTOp1U9Yi5eT5mkTZqbm/8i/uYtDPnsKPNqd2Iv3ci8bC4ymYysXDmLseOW4uLixbvTX6Rq1cb4+mbYxt/MYvSYxbi5eads48jIUH7f9gPTpv+PfPkK8NGyyQTs20yDhh2tlveeVm1aUqp0SWo8VZuatWsw74M5tGrcJlO51ye8QUxMLADvzprOwCEvs3DuB4ybOIbjx07wwvP9KFO2NHMWzabLM92snvt+unXrRt++fZk0ybonu49MgU/zUlxZfYLkmLuU7F2VmIvhJEbEpysWFxjNtTWnMi1++1QIEUeD8GtT9nElxmQ08uX8Oby2YDFunp68/kp/ajRsRBH/1H158+pV+JXwZ8LseURHRjK293M0bN0Wu3z5eGPRUgrY25OcnMzUIYOoWqceZSo97PD59zzzzDOUKVOGMmXKUKdOHZYtW0bdunWzLFujRg2cnZ3TTXNycuLDDz+kbdu2XL9+HQ8PD6vmzahV25aULF2K6hVrUrN2TeYtnkfLRq2yLFu1elWcnJweaz4w7xfLF8xmyvwluHp48uagflRv2IgiJVL3iy0//4hfcX/Gz5xP9O1IxvfpQYNWbTHY2NBn6Cj8y5UnPu4Ob7zyIpVq1U63bG4zKAODO03hzS8GEx4dwvyhK9l3ZifXQ1OP1TFxUXyybjZ1szhWbzu0lg17v2dMD+ufV6TNPLDTFN6xZJ49dCX7z+zkRprMsXFRfL5uNrUzZDaZjHy1cR6Xgs5QIJ89c4d/x9ELe9Mtm1uaV66Fv5cvDSa8TPVS5ZnRfzgd3hmTqdzrz7/Ep5t+Yc2+nczsP5xeTdqw4vcNAOw7d4J+86emK5+YlESPmZOJS0zA1saGX96Yy+/HDnDoYi5W1CtF5U4D2PPFDOKjw2k89F2CzxwiNjQwpUjYxRMEnzafbjt6F6VGr1FsXzAegGuHdnF572aq9RiSe5myYFAGxnWdxOhPhxEaFcJnI1aw+9QuroSmXjOtV74BRdyL8vzsrjxVrBLju05h0JL+gLmyZd+5v3jjm0nY2thSwK4AAG+tfC1l+eEdRnMnIdaq70P8+0j3n8frD6B0NpfZA/hZHg8DvtJa7wHQZqu01iEPW4mlAqY70B9obakcAHNLlFta60TLOm9prYMesjofIOWSotb6b13q1lqfB+IAl4cUHQ+8r7W+bFnuMvA+MO7vvD7mFi+fAJmPfDAFc4uWIMtrJmitP9VaxwNjgQ8tFS8OWuuVfzNHJm0b1ObHzdsBOHj6HI6FCuHpmnkznbhwmeshobn98tniX6QSoRHXuRUZiNGYTMCx36haoWm6MjF3IrkSeBKjMTlvQmZw+dJJPD2L4uFZBFtbO2rXbs2RwzvSldm391eqV2+Om5sPAI6OrgDcvHmZkiUrkT9/QWxsbClbrjqHDm23emZ7P0/uRkRxNzIGbTRx+8QFHMuVyFTOvc7TRJ26SPKd1B+pybFxxN801xua7iaREBaJnUMhq+ZN2cYeabfxznRl9u3dRPXqzXBz8wZStzGA0Wjk7t1EjMZk7t5NwNn58fyoa9fxGb5f+T8ADgQcxMnZCS9vr0zl7lWoABQsWACtNQDlKpRj1/ZdAJw/d4FixYvi4fl4f5CmVatWrTz5wXk/Bb0duHs7gaSoRLRJE3U2DIdSbo+8fFxgNMaEx/s9cuH0KbyLFMHLzw9bOzvqtWzFgd270hdSEB8Xh9aahPh4Cjs6YrCxQSlFAXt7AIzJyRiNyZgPy9bVuXNnVqwwX7Hft28fzs7OeHt7ZypnMBiYM2cOEydOTDe9d+/erF69muvXzZWzYWFhVs+cVruO7fj+m+8BOBBwACdnxyw/hwaDgekz3uGt16Y+1nwAF0+fxMuvCJ6+5v2ibovWHMy0XygS4i37RVxcyn7h4u6Of7nyABS0L4RvcX8irbyNyxSpxM3w64REBpJsTGbXsd+ok+FYHXUnkvOBJ0k2Zf6MnbxyiJi4aKtmzKh0hsy7j/1G7SwyXwg8iTFD5siYW1wKMlc+JNyN40boJdwcPa2Ss031uqz6cxsAhy6ewcm+MJ5Omc/ZGlaswvr9fwDw4+6ttK1R76Hrjks0t9izs7HFzsY25ViTW1yKlOZOeAhxkaFoo5HAY3vwrlAjXRnj3cSUxzZ2BSBNhogrZ7gbZ/2KiApFn+LGresERZj3hW1HN9PoqSbpyjSs2IRNhzYCcPLaCRwKOuDm4IZ9/kJUKVmNdQHm1q/JxmRis6g8aV65JVuO/JZpuhAPIpUqj4lSyhZ4BnNXoOxoC/xieVwJeFCLjOeVUkfu/QE108xrAFzWWl8EdgDtLNM3A0WVUueUUh8qpdJ/M8HKNOucY5m2APhdKfWrUmqMUsr5Ie+hUZp1vJ5xplKqOnBea522VmBOmmXuVVY8lcX7PwBUfMjrZ5XjiFKqVJp5S4E+SqmMvzruu8211huBCGAFMPQRM2SLj7sbgaGpjWdu3rqFj/uj//AAqFGxHL9/tpBvZ75FuRJFcztiChdHTyKjglOeR0aH4OL06CcuWmvGDFjGm0O/pXGtZ60RMZPIyFBcXFNP0F1cvYiMTH9CGxJ8jbi4aGbPHMS0qX34609z1wlfv9KcP3eY2NjbJCbGc/zYn0RGPLR+82+zcyxEUvSdlOdJ0Xewc0xfMWLrUAjH8v6EH8h8hT9lPc4OFPRxJy7Qupkjb2fYxi6eRN5OXwEYEnKNuLgYZs8exLRpffnrr/UpZdu06cukiR0YN7YtBQsW5qlKWV9lz20+vj4E3ki9QhcUGISPr0+WZZd88gFnr56iTLkyfPLhZwCcOH6CDp3NDeOq16xG0WJF8fXztX7wJ4Rd4XwkxaSeoCfFJmJbOF+mcgV9HCjVtxrFulQkv5v944yYSWRYKG6eqfuym4dnph/AbZ7tQdDVywzt0p6J/Xrz4qgxGAzmUy2T0cjk/n15tWNbnq5Zm9JPVcLa/Pz8UipEAG7cuIGfn1+mcsOHD2ft2rUEBwenm162bFlcXFzYvn07Bw4c4IUXXrB65rQe9XM4aOhAft2wiZBg638HZxRxKyzdfuGaxX7RulsPAq9eYXjXdkwe0JsXRo5N2S/uCbsZxNXzZylV8Smr5nVz8uRWmmN1eFSI1SoZcoubkyfhGTK75iCzh7Mv/r7lOXfdOt1evV3dCIpIPWcLiriFt6t7ujKuhR2JiruD0WQC4GbELbxdUs/rapSuwJZ3l/LNuGmU9Utt+WpQBrZMX8KxJd+x68RhDl86m6vZCzi5EB8VnvI8ISqCgmkucNzjXbEmzcbMpU6/CRz56ZNczfAoPJw8CY1K/ZyHRoXikWFf8HDyIPR26v4SejsEDydP/Fz9uB17m9efe5svR61kcvc3Ulqq3FPFvxqRsRHcuHWdfztN8hP5908l3X+sr6ClggPMLVU+x9zSIytpq53nKKVmYx5/5VF/RfyQxZgq9/QCvrc8/h5zF5bVWutYpVQNoBHQDPhBKTVZa73cUjZT9x+t9ZdKqd8wV/h0Bl5VSlW519olC/frdjNGKTUQKGlZV1qZuv9gHs8kY9V82kt9WVXbp512vxxoraOVUiswj08Tn1WZ+1gKFNRaZ3l0U0oNAgYBOJStTEHfEtlYNZDFlUyd5dvM2rHzF6nRcyBxCQm0qFOD5dNfo94LVmqamVXWbFxJmflJf6JiwnAo5MLYAR9xM+wy568cys2EWcicL+PVY6PRyNUrpxk38SPu3k1gxrsDKFnqaXx9/Wnbrh/z5wwlfwF7ihYti8HGxsp57yPD2/Bt24DgrXvTXUVKy5DPluLPtSFo05+YEpOyLGOtbACKDNvYlMzVq6cZN34Zd+8mMuP9AZQs+TQODi4cObKTmbPWUrCgAx8tm8SePRupV69d5pXmsqxaEdxvfx4+aCQGg4HZC2bStUcXvl3xHQvnLGLGvPfZtW87p06e5tiR4xiT/7knA/8IGTZvQmgs5z/fjynJROESLhTtWIELyx+lp6d1ZPnfn2E/ObZvL8XLlOWNDz4kJPAG748ZQfkqVbEvVBiDjQ0zl3/DnZgY5r82keuXLlK0ZKksVpp7HmU/9vHxoUePHlmOlWJra0uNGjVo0aIFBQsWZM+ePezdu5fz589bK3I6j5Lf28ebzt0606GV9bsFZimLHSNj7GMBeyleugyvLzTvFzPHDqdcZfN+AZAQF8fCNyfzwoixKdOsJeP3L2TvvCJvZNWqK3uZC+QryMQ+c/liwxziE+88fIEcyHLbZtw/HrBPH79ykdpj+hGXmEDzyrX4YtRbNJz4CgAmbaLVm8NxtC/E5yPfpJxfcc4GXs3V9JlyZbGNg08dIPjUAVxLlKd8qx7s+eL9XMzwcFnvCTpDmay3sY2NDWX9yrFgzWxOXT/JqE7jeKFZfz7d/FFKuVZV20grFZEj0lLF+uK11lUtfyO01neBcDJ3dXEF0o7nMQFzV6E3gHsjMJ0EapBNSikbzGOvvKWUugIsBp5RSjkAaK2NWusdWuu3geGWsg+ktQ7SWn+hte6MuftMTi65LdBalwOeB1ak6ZJ0PydJ3/oGoDrm1iqQebtm3KYPsxB4GUh72f9h29xk+cuS1voTrXVNrXXNR61QGdClHds+XcC2TxcQcisCP8/Uqxw+7u4E34p4pPUAxMbFE5dgbjK6bd9BbG1tcHV81CF4sicyKgQXp9Rm5S6OXtyOfvRmzFEx5rIxdyI5fGo7/kWsfxXXxcUrXeuSyIgQnJ3TX1VycfXkqafrkz9/QRwcXChbrjo3rp8DoFHjLrz1zrdMmvIZhQo54uVlvZZA92RsmWLnWIikmPQniPa+HhTr3pLyo/vgVLEUfu0b41i+hHmmwUDx59pw+/g5ok9fxtpcXDzTb+PI0ExdeFxcvHiqUj3LNnambNlq3Lh+ntOnAnB398XBwQVbW1uq12jGxQv3H6Ty73rl1ZfYtW87u/Zt5+bNYPyKpF7R9/XzJfhm8H2XNZlMrF71C526mH/YxcTEMnzQSBrXacbgl4bi7uHG1Su5eQL8ZEuKvYudQ+qAw3aF85N85266Mqa7RkxJ5q/X2CuRKIPCpkDeXQty9fQkPDR1Xw4PC8XFPf33xY6N66ndpClKKbyLFMXDx5egq+n/3ws5OFChWg2O7t1jlZxDhw7l8OHDHD58mKCgIIoWTf1eKlKkCEFB6Xv4VqtWjdKlS3PhwgUuX76Mvb19SqXJjRs32LRpE3FxcYSHh7Nr1y6qVKlildz3vDL4Zf4I2MkfATsJDnr457By1acpWcqfw6cOcuzsEezt7Tl0KuNQcNbj6pF+v4gIC8XZPf133K6N66nVuFm6/eKmZb9ITk5m4ZuTaNCqDbWaZD3eWG66FRWCe5pjtZuTFxHZOFbnhfCoENz+RmYbgy0Tes9j15GN7Dv5e65m69+iA1umL2HL9CWE3A7HN03LFF9Xd0Iiw9OVj4iJwsm+EDaWlko+ru6E3Daf18UmxKV08/n92H7sbGxxLeyYbvnouDvsOXOMZpUzng7/PQlRERR0Sm0xU8DJlYTo+4+3FnHlDPaunuSzt8455f2ERoXi6ZTaMszTyZNbGfaF0KhQPJ1T9xdPZy9uRYcRejuUsKhQTl0/CcCOY9so61c+pZyNwYYmlZqx7egWK78L8W8klSp5QGsdC9xUSrUAUEq5Ym6psTtDORPmAVANSqk2wBKgn1Kqzr0ySqm+SqnMHaTTawkc1VoX1VqX0FoXB34CuiilylkGir2nKvDAM3+lVFullJ3lsTfgBgQ+aJkH0Vqvxlwx0u8hRecCUyx39bl3d5/RwL1uSTuAvir10lY/zHfkedQcEcD/MFes3DMDmH1vGyul8iulRj7qOnPiy1820mLgGFoMHMOvf+6lR2vzSVaNCmWJuXOH0IhHH1TUw8U55XG18mUwKEPKnYFy25XAk3i5FcPdxRcbG1tqV27D0TM7H74gkM+uAPnz2ac8rli6HoEhF6ySM60S/hUJCb1OWFggyclJBARspkq19D3gqlZryvlzhzEak0lMjOfSpRP4+PgDpAyoGh5+k0MHf6d2nYwNrnJfXFAo+dycsXN2QNkYcK5UmuizV9KVObNoJWcWmv+iTl0kcMMuos+YyxTt3JSEW7e5tcd6lRNplfCvSEhIhm1ctXG6MlWrNuH8uSOWbZxg2cYlcHXz5tKlEyQmJqC15vTp/fhkt7VXNnz28Rc0rtOMxnWasXHtRnr2eQ6AmrVrEB0VnWXXAv+S/imP27Zrw7mz5h+jjk6O2NnZAfDiSy/w1+496cZf+a+LD44hn0tB7BzzowwKp3IexFxKX2Fsa2+X8rigV2FQPPZxVNIqVb4CwdevExoURHJSEnu2bqFGg/T7sruXNycOmH/Q344I5+a1a3j6+hEdGcmdGPN3793EBE4cCMC3eAmr5Pzwww+pVq0a1apV45dffuHFF18EoE6dOkRFRWXq4rNx40Z8fHzw9/fH39+fuLg4ypQxnxasWbOGRo0aYWNjQ8GCBalTpw6nT5+2Su57PvvocxrVbkKj2k3YsG4DPfua74ZTs3bNLD+Hm3/dQrniFahcriqVy1UlLi6O6hVz9wfng5QsX5HgG9cJDQokOSmJvds2U6NBo3Rl3Ly8OHlwPwBREeHcvG7eL7TWfDprOn7F/Wn3/OO508j5wJP4uhfDy8UXWxtbGlduQ8DpRztW55ULgSfxcS+GpyVzw8pt2J+NzMO6vU1g2GXW/Zn7d8xZvm09rd4cTqs3h7Pp4B66N2gBQPVS5YmOu0NoVOZztj9PH6NDLfM+0qNhS347ZK5g9Ugz/krVkmUxGBQRsdG4OjjhaG++mFLALh+NnqrGhZu52z3lduBFCrl7Y+/igbKxwa9yPUJOp28ZWChNV14n3xIYbGy5G2edc8r7OXPjFEXci+Jj2RdaVGnN7lPpxzDafWonbaubW7Q+VawSsfGxhMeEExEbTmhUSMpdfmqUqc2VNAMW1yxdm6thVwiLytsxCsWTSbr/5J0XgaVKqXmW5+9YxjtJR2utlVLvAhO11i2UUj2BuUopT8wtJHbx8LsJ9QJ+zjDtJ2AIcApYbBkXJRm4gKW7isVKpdS97jC3tNYtgdbAIqVUgmX6BK31/S/hPpppwLdKqU8tz+copd5IM7+21vqIUmoSsE4plR8oATRL0/XmE6A8cNRym+QDmAeavadRmq5YAO9m0cVoHubWOoB53BTLXZe2WiprNOZbKj8WW/cepEWdmuz75iPiExMZNWtxyryVM95k7NylhIRH8Eq3Dgzr2RVPVxe2f/4B2/YdZOzcJXRsUp9+nZ/BaDSSkHiXV6fPtVpWk8nIt+tmMrr/MgzKwJ+H1hAUepEmtc23XNwZsArHwm68MfRbCuYvhNaalvX78NaibhS2d2ZYn/kAGAy2BBz7lZPn/7Ja1ntsbGzp3WciC+cNx2Qy0qBRZ/z8SrFju3m3aNqsO76+/lR6uj5T3+qJUgYaNe6CXxHzeNPLlkwg9k4UNja29HlhMoUKOT7o5XKHSRO08Q9KvtABlCLy8BkSwyJxrWkeWijiAeOo2BfzxqVKOeJDwikzuAcAwdv2EXP+mtXimrfxBBYuGGHexg07mbfxDss2bnpvG9dj6tu9UEql28Y1arRg+rQ+GAw2FCtWjsaNH88ddDZv2kKrti05dGo/8XHxDBuUWpf6v1++Y+SQMYQEh7Ds8yU4ODiglOLE8ZOMG2G+E0K58mVZ9vmHGI1Gzp4+y4jBox5L7vsZO3YsAQEBREZG0rhxY0aMGEGPHj3yLpCGm79fpHi3SigFkSdDSAyPw6Wy+RpB5LFgHMu441LFG0xgSjZyY2NqL8siz5TDvqgTtgVsKftKLUL3XOP2SeuOp2Fja0v/seOZMXak5da5HSlasiRbfjEfglt16UbX/i/x0XvTmPhib7TW9BoyDEdnZ65eOM+y96ZhMplvRVq3eQuqN2ho1bxgrjBp164dFy5cIC4ujgEDUm8Zv2HDBl555RVu3rx53+XPnDnDpk2bOHbsGCaTic8++4yTJ09aPfc9m3/dQqu2rTh8+iBxcfEMG5hyeOZ/a35g5OBRD2xB9jjY2NrSf/QEZo037xdN2nWkiH8ptq75CYCWnZ+la7+X+ej9aUzq1wvQ9Bw8HAdnZ84eO8Lu336laMnSTHnJXKny/MChVK3XwGp5TSYjH62dyTsDzMfqrQfXcC30Im0tx+pNAatwLuzGgmHfYp+/ECat6dSgD0MXdiM+8Q7jn5/B0/41cSzkzJeTfuPbrcvYcvAXq+W9l/mztTN5y5J528E1XA+9SGtL5s2WzHOGpZ5fdGjQh5ELu1HcuwxNq3fkys1zzBv+AwArNy/m0LndD3rJHNl2dD8tqtTirzlfEH83gTGfLUiZ9/W4aYz/fCEhtyN474cvWDZ0MhO7v8iJqxf5budmADrUasiLzduTbDKScPcuQ5bOBMDL2YVFg8y3EDYYFOv2/cHWIwG5ml2bTBxfu5y6AyajlIFrB3cQExpI8drmSqKrAdvwqVSbItUaoY3JGJOTOPh96jlp9eeH4+5fgXyFHGg1aTFnt/7EtYM7cjUjgNFkZMGaOcx/ZTE2BhvW71/L5ZBLdKlrbmT/y96f2HPmT+qVb8D/Jv1Cwt0E3v/xnZTlF/wyh7d7TcfWxo6g8MB081pWbc3WI5tzPfM/ldxSOXep3B49WojHRSk1E6gDtLF0q/pH82rW+Yn6sHWs/+R1VejXPvdPkqzNafPXeR0hW6Ja9s3rCNnWqaX/wwv9w0QmZKfnYt47ueDJ++wl9rV+F8PcVsPzYTfJ+2dxyvdk5QXYes363SJz2zuLMt5j4J/N7uFF/nH23rjfcIj/TB8VefI+e7OSz+V1hGz7c/YB69/GzUoOvzXvifpdck+1aeP+kdtcuv+IJ5bWerLWutmTUKEihBBCCCGEEMK6LENVnFVKXVBKTX5AuVpKKaNSqvvffU3p/iNyhWXMl1kZJl/WWnfNizxCCCGEEEIIIf47LDdoWQq0Am4A+5VSa7XWp7IoNwvIlds9SaWKyBVa69/IpZ1SCCGEEEIIIYR1aP61Y6rUBi5orS8BKKW+BzpjHkc0rRGYxxitlRsvKt1/hBBCCCGEEEII8Y+mlBqklDqQ5m9QhiJ+QNrbY92wTEu7Dj+gK/BRbuWSlipCCCGEEEIIIYT4R9Naf4L5jq/3k9VAthkH5V0ITNJaG803d/37pFJFCCGEEEIIIYT4j/gX31L5BlA0zfMiQFCGMjWB7y0VKu5AO6VUstb6l5y+qFSqCCGEEEIIIYQQ4km3HyijlPIHAoGeQO+0BbTW/vceK6WWA+v/ToUKSKWKEEIIIYQQQgghnnBa62Sl1HDMN1CxAb7QWp9USg22zM+1cVTSkkoVIYQQQgghhBBCPPG01huBjRmmZVmZorXunxuvKZUqQgghhBBCCCHEf4Tp33tL5Twht1QWQgghhBBCCCGEyAGpVBFCCCGEEEIIIYTIAalUEUIIIYQQQgghhMgBGVNFCCGEEEIIIYT4j9A6Oa8j/KtISxUhhBBCCCGEEEKIHJBKFSGEEEIIIYQQQogckO4/QgghhBBCCCHEf4SWWyrnKmmpIoQQQgghhBBCCJED0lJFiMekRt1reR0hW5yUTV5HyDZ1V+d1hGxLGtorryNky/5F7fM6Qrblq9cgryNk28kFu/M6QrY8NaZhXkfItp6vV83rCNnm2ahTXkfIFl0wrxNkn3Hfkzd4Y3/K5HWEbDE8gdd0DxcKzesI2bJUn87rCNmW36DyOoIQOfbkfasJIYQQQgghhBBC/ANISxUhhBBCCCGEEOI/wqRlTJXcJC1VhBBCCCGEEEIIIXJAKlWEEEIIIYQQQgghckC6/wghhBBCCCGEEP8Rckvl3CUtVYQQQgghhBBCCCFyQCpVhBBCCCGEEEIIIXJAKlWEEEIIIYQQQgghckDGVBFCCCGEEEIIIf4jTDKmSq6SlipCCCGEEEIIIYQQOSCVKkIIIYQQQgghhBA5IJUqQgghhBBCCCGEEDkgY6oIIYQQQgghhBD/ETKmSu6SlipCCCGEEEIIIYQQOSCVKkIIIYQQQgghhBA5IN1/hBBCCCGEEEKI/wiTlu4/uUlaqgghhBBCCCGEEELkwBPTUkUpVQRYClTEXBm0HpgA1Ae2A5201ussZdcDc7XWO5RSOwAfIN6yqgta6+6WcoOAsZbp0cBYrfVuy7yMy72rtV6llDICx9NE66K1vpJF3qbAGuASUAD4Xmv9jlKqP1BTaz08TdkdwHit9QGl1BUgBtBAJPCi1vqqpdyLwERAWf6+0FrPVUotB9ZrrVelWWes1rpwmudjgBmAl9Y6yjLNHvgUqGxZ322grdY6Nov3+b3WeqZSqgMw3fJ/YAcs0lp/nPH9W9Y/FRgIhFkmbdJaT06zbROAu8BArfURyzL33v+96tNdWuuRSikFvA70s2ybm8AIrfWx+7zflO2cRQ6ApkBVHrzv2Fne67NAIhAHvG3J8Z7W+lfLMs8BL2mt22a1HXJLjbL1ebXDBAwGA7/t/4Ufd36Zbn4RjxKM6f4OpX3L89XmJaz+42trxslSuTL16NJuPAaDDfsO/sLvu5anm+/pXoLnu71NEd/y/LrlQ3b8mZqxcf3e1KnRBY0mOOQC369+h+Tku1bPfPzEX3z3v7lok4lGDbvQrm3/TGXOnD3A9/+bj9GYTOHCzkwa/wnBwVf46NPXUsqE3QqkS8dXadWyt9UzH923hxWL5mMymWjWoROd+vZLNz8uNpal098mPCQYo9FI+559aNq+I+EhISx7byq3IyJQStG8Uxee6dHT6nlLlKlN0/YjMRgMHD+wgf27VqabX75KK2o1Nm+3pMR4tq6dx63gi9jY5uP5gYuxsbFDGWw4f3IHe7Z9mdVLWMV7IwbSok4N4hMSGTlrEcfPX8pU5qUu7RjUvRP+fj5U6NyXiOgYAOpXqcRX777GteAQADb8sZf5K36wWtbCxZ3xbloSDIrbJ0K4tf9Guvn2RZwo1qkCd6MSAIi5EE7YvusA+LYqg0NJF5Ljkrj49WGrZcyuKVOmsGPHDtzc3Fi/fn1exwGgSpn69Gs/EYPBwO8HfmbtrvT7o697CQY/+w7+vhX4YcsS1u9eAYCdbT7eHvgFdjZ2GAy27Du5lVXblj2WzO+NHEiLujWIT0xk5IxFHD+XxX7czbIfF/GhQse+RETFpMyrX7US00e8jK2tLRFR0XQd+br1Mw8ZSMva5s/eiHmLOH4hi8yd2vFq1074+/pQvkfqZ++eqmVL8+vC2Qx8fy7rd/9l1bzHzuzlm7ULMZmMNKndkY7NX8xU5vTFQ6xcswijKZnChZx4fciH3E1K5P1lQ0lKTsJkMlLr6WZ0a/OKVbNm5FWmKlU6DEAZDFzev41zu35JN9+nQk2eatkTrTXaZOTohuWEXz3zWDNm5FmmCpU79EcZDFzd/zvndq1JN9+nQk0qtHwuJfPxDV8RfvWs1fK8/dwImj5Vh4S7CYxfMYuT189nKlPEzZvFL7+FUyEHTl47z9jl75NkTH7g8v2bPUvPhu1RKL7/cz1f/v5Tyvr6Ne3Ki027kGw0sf3EXmb+nOWp+EPVLFufwR0mYGMw8Ov+X/jfzszH2CEdJ1K7XAMS7iYwb9XbXAgy//93qd+LZ2p1QynFr/tX8/Of3wJQ0rssI7q+TsF8BQmJDGLWD68Tl3gnR/myUqtsfYZ3HI9B2bBx/898t3N5pjLDO06gTrmGJCQlMPvHtzlvydy9YR/a1eqC1prLwReYtWoqSWnONZ9r9AKD24+hy7TmRMfdzrXM4t/viahUsfygXg0s01p3VkrZAJ8A7wEbgBuYf+iuu88q+mitD2RYZwfgVaCh1vqWUqo68ItSqrbWOvh+ywHxWuuqjxj9D611B6VUIeCI5Qf7o2hmyfQO8AYwUCn1DDAaaK21DlJKFQBeeMT1AfQC9gNdgeWWaaOAEK310wBKqXJAkmVepvdpqWT4BKittb6hlMoPlHjI6y7QWs/NYnofSyXSAGAO0CrNvGZa61sZyg/DXIFWRWsdp5RqDaxTSlXUWj/KN3WmHObd6oH7znTMlT+VtNaJSikvoAkwGPhRKbUdsMG8H1q1QsWgDAztNJnXPx/CregQFg5byd7TO7kemnqiGRMXxUfrZlGvYjNrRrkvpQx06ziZj78cSlR0CKMHf83J0zsJCbucUiYuPopfNsyhUoWm6ZZ1dPCgYb2ezF7Ug+TkRF54fibVnm7D/sP3+0jnDpPJyMrvZjFu9FJcXLyYPuNFqlZujK9vydTMcTF8890sxoxcjJurN9HREQB4e5dg6pvfpqxn3KR2VKtm/W1vMhr5cv4cpixYjJuHJ28M7E/1Bo0o4p+aefPqVRQp4c+EWfOIjoxkXJ/naNi6LQYbG/oMG4V/ufLEx93h9Zf78XTN2umWzW1KGWjecQw/fTmWmOgw+gz5hIundxMRdjWlTFTkTf736QgSE2IpUbYOrbpM4LuPBmNMvsuPn48m6W48BoMNzw9aypVz+7h5/ZTV8t7Tok4N/P18qNt3MDUqlGX2mCE8M3RCpnIBJ06zZc8BVi98N9O8fcdP0fe1zNNznQKf5qW4svoEyTF3Kdm7KjEXw0mMiE9XLC4wmmtrMm+726dCiDgahF+bstbPmg3dunWjb9++TJo0Ka+jAOZ9+aWOU3jvy8GER4fw/pCVHDy9k8Cw1O/h2Pgolq+fTa0M38NJyXeZ/vlAEu/GY2Ow5Z1BX3Lk3G4uXD+e8WVyVYu6NfAv4kPd3oOpUbEss8cO4ZnBWezHx0+z5a8DrF6Ufn91LFyImWMH02v8VAJDb+Hu7GTVvAAtatWgpJ8PdQYMpkb5ssweMYRnRmWR+eRptuw7wM+zM3/GDAYDb77cj+0HrV9JaDIZWfHzXCYOWoSrkydvf/Ay1Z9qhJ+Xf0qZO/ExfLV6LuNfmY+7izfRsebjiJ1tPia/upgC+e1JNibz7tLBVC5fl9LFK1k9NwDKQNVOL7P7i+nERUfQfOgMbp45QExoaqVs6MUT3Dw9HgBH72LU7TWWzQtGP558WVGKKp1e4s8v3iM+OpxmKZkDU4qEXjzOzdPm03dH72LU7jWarQvG3m+Nf0vTp+pQwtOPZm/3pap/Bd7tNYaus4dmKje566t8/vuPrD+wnXd7jeG5Bu1YuWvtfZcv61uCng3b02XmEJKMSSwfMZvtx/dyJSyQumWr0rJKA5559xXuJifh5uCco+wGZWBYp8lMsZxbLracW15Lc25Zq1xD/NyKMWBuZ8oXfZoRXV5j1IcvUtyrFM/U6sbID18gyZjE+wOWsu/MboLCrzH62bf4dOMCjl8+SOsaneneuB8rtnyY002cKfOozpOY8PlQwqJCWDb8G/46vZOroannmnXKNcDPvRgvzO1MhaJPM7rLFIZ92A93Rw+61u/JgPnduZucyFu9Z9K8Sht+O2g+1/Rw8qJGmbqERN7Mlaziv+VJ6f7THEjQWn8JoLU2AmOAlwB74CgQpZRqdf9VZDIJmHDvx7vW+hDwFeYf77nK8qP/IFAqm4vuAfwsj6dgbs0SZFlngtb600dZiVKqFFAYcwVNrzSzfICUo5DW+qzWOvEBq3LAXBEXbimfqLX+u1X/ad/jg0zC3DIlzvLam4FdQJ+/+fpZ7juWVjwDLa+ZaHnNEK31/7TWJzBXwkzC3HJlhdb64t/M8UBli1YiKPw6wZGBJBuT2XX0N+plqJiIuhPJ+RunMFqufDxuxYo8RXj4dSIiAzEakzl8fDNPZcgYeyeS64GnMJoyZ7Qx2GBnlx+DwYZ8dgWIignLVCa3Xbp8Ek/Ponh4FMHW1o7aNVtz+OjOdGX2BmyietVmuLl6A+Do6JppPafO7MfTww93Nx+rZ75w+hRefkXw8vXD1s6Oei1acXD3rnRllIL4uDi01iTEx1PY0RGDjQ0u7u74lysP/J+9+w6PouoCOPy7m4SShATSSEIooffeQXrvVaUIgp0OooiKIogUC0WwC/aKKKD0JqB0pPdeAklIQkIqye79/phNsmmQxCyBz/P68Lg7c2f37OTuzOyZW6CwswslypQh4oZ997NvQBVuhl8lMuIaFnMSJw5tpFyV5mnKXLt0hIT4aOvjoxRx905Zl3jbSAyYHBwxOTiitbZrvMk6NWvIz+s2A7Dv+CncXFzw8SiWodyRM+e5HBxyT2LKSmHfIty+GU9iZALaook8GUqRcp7Z3j72ahTm+Pw5btxJgwYNcHe3/4/47CofUJ3r4ZcJsR7j/j60lvrpjnFRMRGcu3o00+NwgrUuOzg44uDgCPegLndq3pCf11rr8bFTuLm64OOZST0+fZ7L1zPW4z7tWrBq6w6uhhj3OW7cjLRvwEDnJg35aYM15hOncM/qu3c26+/ekz278sf2Hfck3rOXjuHjFYCPZwkcHZ1oXLsd+49uS1Nmxz/rqF+jJV7FrOcRV+M8opSiUEFnAMzmJMyWpOQbPveER0B5YsKuExMRgjYnceXQX/hXqZ+mjPl2fMpjR6dC9+wYnBUj5mBiI0LQZjNXDv2NX5UGacqYb6deyjo6FTTaN9tJ+1rNWLZzHQAHzh/HzdkF70yuE5pUqsPq/cb1xS8719KhVvM7bl/etzQHzh8jPjEBs8XC7lMH6Vj7IQAGt+jJR2u/43aScR807NbNXMVeKd215ZZMri2bVGnJhn+Me8InLh/GpVARPIp4Uco7kOOXD5OQGI/FYubQ+X00q2YkkwO8SnP4/D4A/jmzk+bV2uYqvsxULlmdq2FXuBZuxLzp4FqaVk0bc9OqrVi/34j5+OXDuBY2YgbjWrOg9VqzoFNhwqJSr4FGdHuej1fPQ9uzwtxHNOYH8t/96kFJqlTDSEqk0FpHAZeA8tZFb2IkDTLzrVLqgPXf21m9Abgh0gABAABJREFUJrDXujyz7ZKvUAvbLPs1O8Fbt20MHM1OeRudgN+sj6tnEq+tt23iOpBu3QDge2AbUEkp5WNdvhiYpJTaoZR6UylVwWYb2895QCn1iNY6HFgBXFRKfa+UGqSUulsdGm/zGh3v8hmTbbbZZrxSyg1wySRxsRejO1h22MaxOd26zOpOeeCStZ5l5g1gINAZmJPNGHLN082HG5HBKc9vRAXjafPD837g7ubDTZsYI6OCcXfLXoxRt0LZsv0bpkz8g9cnrSU+IZpTZ3baK9QUN2+G4FGseMrzYsV8uHkz7UV6cPAlYmNvMefdp5k2YzB/78jY4Gz3nrU0bJBZ9c57EaEhePqkxuzh7UN4usRIh779Cbp4npG9ujLp8YEMGTMekyntVzX0WhAXTp2iXNVq2JOrmxe3IlP3aXRUaJqkSXrV63fj/KldKc+VMjF41Oc8O3k5l87s5fqV43aNN5mfl2fKD0mAazdu4OeV/UQFQL2qldj02Ty+m/UalcqUzOsQUzi5FiDxVuqPiMToBBxdC2QoV9ivCOUG16FUr6oU9HS2Wzz/rzzcfAiLvJ7yPDwqGA93nztskZZSJmaN+pFPJm/i8JmdnLlyxB5hppGhHofmrB6XK+mPexFXls1/k3Wfvkv/jvZvjefr5UlQaGrMQTdu4OeZ/Zh9PT3o0rQxX/yxxh7hZRARFYpnUZtjsrs3EZFpj8nXQy8TE3uLtz4cyWvzhrF97+qUdRaLmVffG8qoN7pSvUIDypWy7zHZVmF3D2Ijw1Kex0WGU9gt4772r9qQDuPn0WzoZPb9cm+6rWWlkLsHcWliDqOQW8akm1/VBrQb/x5Nhr7EfjvGXLyoF9ciUs9x1yJu4FvUK02ZYi5uRMVGY7ZYALh+M5Ti1jJZbX8y6DwNy9ekqIsbhZwK0qp6I/yKGefOQJ8AGpSvya8vfsAP4+dRs3SlXMXu6eZDaLprS69052cvdx9Cb6Ye925EBuPp5sOF4LPUCKxLEWd3CjoVokGl5ni7G0nDi8FnU5IzD9Voj7fN9+Pf8nLzJiTSNp4QvN180pXxIeRm6ucKjQzBy82bG1Gh/LTta354aRVLX15HTPwt9p42rjWbVmnBjagQzl3L2HVLiOx4ILr/YIz3kVnaMGW51nqbUgql1EOZlMusG0923uffdv95SCn1D2ABZmmtjyql6mdR1vZ9N1u7moSQdaIovRfSj6lis+5RoLfW2qKUWgb0BxZprQ8opcoCHYB2wB6lVBOt9XGy+Jxa6yeVUjWs5SdidNt5/A5xZdX951trtygHoG66dWm6/1iTKpm52+0c232aVRx3qzuZv7DWMUqpH4HoO7XusY7b8zRAtU4BlKrtlVXRO8rsg+bzzaJMZBJlNoMsXKgI1aq0ZMa73YmLj2boo7OpW6sz+w+uvvvG/0Lm0aX9HBZLEhcvHWfi+A+N/u+zh1G2bA18i5cGICkpkYMHt9K396jMXizPZX4gTBvzoV07KV2+Iq/M/4Dgq1eYOWE0lWrVxtnFGHYoPjaWua++xGNjxqcss5tM7rpmdaezZGAdqtfryo+fjLQpa+GbhU9QsJArPQa9iadPIGE2zXztJrO4c3D36tDps9R79Cli4+Np26geX0x/mSaPPZeXEd5ZulDjQ6I5/fkeLIkWXMsUo2T3Kpz54k55epFBDupyZrS28NLCR3AuVITnB71HgE85roTYtZHjv47ZwcGBWhXL0W/8FAoVLMAfH85h39GTnLsSlJdRppH+eAY5i/nNZ59k+udfYrH+gLW7TA/K6c8jZi5cPclLzyzgdmIC0xY+TbnS1fDzLoXJ5MCbE74kJu4WC76czJXrZwnwzWnD5ryT2XEu6Nhugo7txqtMFaq1f4Rti6fnQ2TJsteS59qxPVw7tgfPMlWo0v4R/lpsn66YmdbX9GXu8D3Mavuz1y/x0bof+HrM28QmxHH8ylmSLMZdegcHB9ydi9B7zghqla7Mwidfp8WUnI/nlr1ry8xjvxx6np/+/IKZwz8k/nYc56+dSmmF/N4vU3mu+4sMavsUO47/SZI5McNr5Fam+zLdHs+ssZcGXAsXoVnVVgyc043ouGheHzSbdrW7sO3oJga1foIXP8/zzgriP+RBSaocxRgsNIX1h3ZJwPaKZAbG+BjZacd8DKgHbLJZVte6PK9s01p3S7csDEifUvcAbMcQaQ3EYIx9Mg1jMN2jmcR7V0qpmkAFYL31QFQAY/DcRQBa62iM8WqWKaUsQBfgjreCtdaHgcNKqa+B89w5qZKVQRhdb2ZZY+lzh/eLUkrFKKXKaq1tR6urC6yzPo5TShXQWiePNpV+n95N+rpzBiillCqitb6VxTYW678saa0/wRiHhi6T6+Q6DXIjKgQv99RMv5dbccKj7N89Jicio4IpahOju1txIm9l709QoVwjwiOuEmMdFOzQsU2UKVXL7kmVYkV9CI9IvZsRERFC0aJp79IUK1YcV9eiFCxYmIIFC1OxQh0uXzmdklQ5fOQvSpWqjHsmd/fswcPbh7CQ1JjDQ0Mo5pU2Wffnqt/pMXgISil8A0ri7edP0MWLlK9ajaSkJOa++hLN2neiYUv733WOjgyliM3dfFc3b6KjMtYLr+Jlad/7RZZ9+QLxcRkbiCXER3P5/AHKVGxkt6TKsF5dGNzV6Al44MQZSvik7lc/Ly+u3wjP9mtFx6aOZ7Jx1z5mjXsGD7ciGQbTzAuJ0bdxKlIw5bmTa0GSYtIO8my5ndpkNvpCBMqkcCjkeF92+7lfhUcG42m9Ewvg4VaciFwch2Pjb3Hs/F5qV2xml6TKsN5dGNwti3rs7cX1sOzX42uhYYRHRhEbn0BsfAI7Dx6lWvkyeZ5UGd69C4M7GzH/c+oM/t6pMft7eXE9PPsx16pYno8nG2OAeLq70bZhPcxmM6t37LrLlrlTzN2bMJu74uGRoRRz88pQxtXFnYIFClOwQGEqBdbmctAZ/LxLpZRxKVyEymXrcOjErnuWVImLDMfZPfXcVdjdg/iorPf1jQvHcfHwpYBzEW7H5v2xLDviI8MonCZmT+KjIrIsH3bhOC4exfM05sda9uLRZl0BOHTxBH7FUs9xfsW8CL6Z9hwXHh2Jm7MrDiYTZosF36LehFhb21y/GZrl9j/9vYqf/l4FwMSeT3I9wjjeXI8IZc0/RrffgxdPYNEWPFzdCY/OWXe3G1EheKe7tgxLd0y7ERmMd1FfsA6D5uVenHBr9+y1e39j7d7fABjWYRShUcb34HLoBV5ebIwrU8KrFI0qZfue5V2FRobgY3Mc9nL34Ua6mEMjQ/ApWjwlZm93H8KiQqlXvhHXwq8SGXMTgG1HN1GtdE3OXjuFr0cJPh33g1HezYePx3zLiIVDiIgO4/+V5T7uSvMgelC6/2wEnK2z32AdqPZdjKRDbHIh6zgbxYBa2XjNOcDs5G49SqnaGMmBvBlJKWt7gGZKKV/r+9YHCgKXbQtpreMwBqYdopTywJi5Z47NdgWVUmOy8X4DgKla6zLWf/5ACaVUaaVUM6VUMevrFcDoSnMxqxdSSrkqY1ajZLXvVP5utNaJGC1xGiulqtyl+NvAAqVUYWss7TC6aiW3zvkTGGxdVxh4GGNmn+zGkqbuWMdu+dz6ngWsr+unlBqc3dfMS6euHMXfqxTFi/nj6OBIi1od2Xl8S36EkqXLV4/h5VkSj2L+ODg4UqdGB46e+PPuGwI3I69TOqAGTk6FAKhQriEhofZvjRBYpirBIZcJvXGVpKREdu9dR+1aLdKUqV2rJadOH8BsTiLhdjznzh/Bz7dMyvpde9bS6B51/QEoV7kK169cJiQoiKTERHZsXE+95mlj9izuy5F9RiO7yPAwrl26hI9/CbTWfDLrTUqUKUPXR+0/SxHA9asnKOoZgFsxP0wOjlSu2ZZzJ/5KU6aIuw89Br3J6qUzuBmWOkBiYWd3ChYyWtI4OhagVLl6aQa4zWtLfltF26fG0/ap8az+ayf9OxhJp3pVKnIrJoaQ8Kwv3NPzLlY05XGdyhUwKZNdEioAcddvUaBYYZzcCqJMCvdK3tw6l/aHkaOzU8rjwsVdQSEJlRw6e/Uovp6l8LYe45rW7Mi+bB7jijgXw7lQEQCcHAtSo1wjgux0jFvy6yraPjGetk+MZ/W2nSlddupVtdbjsOzX4zXbd9G4ZlUcHEwULliAulUqcvrilbtvmEOLV66izYjxtBkxntV/7+ThdtaYK1ckKjZn370GQ5+mvvXfym1/M+n9j+2WUAEoW7IKwTeuEBoeRFJSIjsPbKBO1bTjRtWt1oJT5w+mnEfOXjqKf/HSREVHEBNnHBduJyZw9Mxe/HxK2y3W9CKunsHVyw/nYj4oB0cCajYj6HjaBtouHqk/YIv6B2JycMy3hApAxNWzuHr54lzMG+XgQEDNpimD0iZz8bC5wWOHmL/+8ze6vvUUXd96inUH/6JP4w4A1A6swq24GEIzSUztPPkPneu2BKBv446sP2icBzcc+jvL7ZMHoPUv5kOn2g+xYu9GANYd3E7TSkYj70CfAJwcnHKcUAE4eeUoJWyuLVtlcm258/iftKtj3B+uXLIGsfHRhFtvmLm7GPeIvd19aVatDVsOrEmzXCnFwNZP8fuupeSVE1eOUsKzJL7WmNvU6siOY2mPw38f+5P2dY2Yq5SsQYw15uCb16laqgYFrdeadcs15FLoec4Hn6Hvm+0YOLsbA2d3IzQqhGcWDPq/TqiIvPdAtFTRWmulVG/gA6XUFIxk0CrgZaBJuuIzMKYytvWtUir5tuENrXU7rfUKpVQJ4G+llMaYxnew1tquQz5rrYOVUmOBVdbxSKKBAVrrDC0etNbXlFLfAyO11tOtXYI2WGdD0hhjotzNoxjjftj61br8GvCh9fVMGDMpJc/XVjjd2CxrMPbti0qpjzGmmo4hd61UUmit45RS72J0JXrCunizMqZ0BjiktR4CvA8UBQ5ZZyEqgDErT/IIamOBj62JJoUxeKzt6J3j0yVEemUSTvq68yrGeCvHlFLxGJ/3tdx90n/HYjHz4YrZvDn8A0zKxLq9y7kUco4uDfsBsGr3Uoq5ejJ/1Lc4F3TBojW9mg3imbl9icvDaezuFuOy3+fw9NCFKJMDu/ctJzjkHE0aGI3Mduz5hSKunox77msKFXRBa81DTQcwZ0F/Ll05wqGjG5kw4lvMliSuXjvJjj3L7B6zg4Mjgx59gbnzR2OxmGnerAcl/Mux5U/jAqBVy374+wVSo1oTXp8+AKUULZr1IqCEMZRTwu14jh3fzZDB9p9iNCVmR0ceHz+RWc+PwWKx0KprdwICy7LhN2N/tevVhz6PD+ejt6YxaehAtNYMeHYkbkWLcuLQAbavXU3JsuWZPMz4Ojz89HPUadLMbvFqi5nNK+fR9/F3UMrEkf2rCAu5QM2GPQA4tHsFjds8TiFnd9r2GA8Ydem7D57GpYgnnfq9jDI5oJTi1OHNnD+5w26x2tqwcx9tG9Vn1zcfEZeQwNjZ76es+3bmFCa8s4jgsHCe7NONkY/2xsejGJs/X8DGXfuY8M5CurdsytCenTGbzcQn3OaZ6Zn2PswbGq5tOkvpPtVRCiKOBpMQFkuxmsaPoYhD13Gr4EWxWr5gAUuSmSurUscYD+hcCeeS7jgWcqTikw0I2XGJm0eDs3q3e2bChAns3r2biIgIWrRowejRo+nfv3++xWOxmFmychYvP/4hJmVi8/7lXAk5SzvrcXjD7qW4u3ry1ojvKGw9xnVuOoiJ8/tQrIgXz/WbjslkwqRM7Di8jv0nt93lHf+9DTv30bZJfXZ9b63HM23q8ZwpTJhtrcd9uzFygLUeL1nAxp37mDBnIacvXmHTrn/YvGQB2mLh2z/Wc+L8JfvGvHsf7RrUZ/eSj4hNSGDsu6kxfzd9CuPnLiI4PJwne3ZjVH8j5i0fLWDD7n1MmLfQrrFlxsHBkSG9JjDn0/Foi5kWDbsR4FuWTTuMYffaNOlNieJlqFGpMa+8Z7QgbNmoBwG+5bgUdIZPfpyOtliwaAuNarWlTlX7HY/T0xYLB1Z8TvNhr6CUiQv7NnMr5AqBDY1WQ+d3r6dE9UaUrtMSi9mMOek2u36Ye8/iyyrmgysW02zYy6BMXNy3hVshVyjTsB0AF3ZvwL96I0rVaYHFbMaSdJs9P8yzWzybj+ykdfVGbJn2DXG3E3jxq9kp6xaPnMlL37xDSGQYs377hPefmMLz3Z/g2OXTKS1Q7rT9h0+/QVEXN5LMZl77YT5RsUbP/p//Xs2cx15kzZTFJCYlMvGrWbmK3WIxs2jFbN6yuba8GHKOrtZj2h+7l7L75HYaVGrOkokrSEiM592lU1O2f23QOxRxLorZksTCFbOIjjcSV61rdaJ7k0cA+OvIJtbtS/+zLPcsFjPvr5jN7OGLjGmg967gQsg5ujcyrjVX7vqFXSe306hyc755Ybl1SmUj5hOXj/Dn4Y18PPpbzBYzZ4JO8vsu+19riv8Gld+jeAuRU0opV4zE0B6t9cv5HU92/ZvuP/mhisOD0pAtVe92W/I7hBwrXPXBan755/we+R1Cjs3+O+Mghve7TT0yTiF7P6s2vvndC91nHn2ldn6HkGObt927Vgx5QRfO7whybuXI7Nyvur9c2flsfoeQI6YHpqF8qgkR+TvLW05VLHozv0PIsUR972a+yiubZu1/8IK22vjysw/U75Jkbd/66L7c5w9ESxUhbFnHgcnJ9NlCCCGEEEIIIQCzjKmSpySp8i9ZpwmenW7xea117/yIJz8opV7BmFHI1s9a6xn5EY8QQgghhBBCCHEvSFLlX9JarwXW5ncc+cmaPJEEihBCCCGEEEKI/5QHr1OjEEIIIYQQQgghxH1AWqoIIYQQQgghhBD/ERYZUyVPSUsVIYQQQgghhBBCiFyQpIoQQgghhBBCCCFELkj3HyGEEEIIIYQQ4j9Cuv/kLWmpIoQQQgghhBBCCJELklQRQgghhBBCCCGEyAVJqgghhBBCCCGEEELkgoypIoQQQgghhBBC/EfImCp5S1qqCCGEEEIIIYQQQuSCJFWEEEIIIYQQQgghckG6/wghhBBCCCGEEP8RFiz5HcL/FWmpIoQQQgghhBBCCJELklQRQgghhBBCCCGEyAXp/iPEPbL3n1L5HUKOuNS9mN8h5Jj70TP5HUKOzV8/LL9DyJFnRv+Z3yHk2Luftc7vEHIs4afq+R1Cjjz6Su38DiHHfphxIL9DyDEf1wfrPOJYqGh+h5BjCQEF8zuEHJud+GCdr70cE/M7hBzTulh+h5Ajg5R/foeQY59arud3CELkmiRVhBBCCCGEEEKI/wizTKmcp6T7jxBCCCGEEEIIIUQuSFJFCCGEEEIIIYQQIhckqSKEEEIIIYQQQgiRCzKmihBCCCGEEEII8R9hwZLfIfxfkZYqQgghhBBCCCGEELkgSRUhhBBCCCGEEEKIXJDuP0IIIYQQQgghxH+ETKmct6SlihBCCCGEEEIIIUQuSFJFCCGEEEIIIYQQIhckqSKEEEIIIYQQQgiRCzKmihBCCCGEEEII8R8hUyrnLWmpIoQQQgghhBBCCJELklQRQgghhBBCCCGEyAVJqgghhBBCCCGEEELkgoypIoQQQgghhBBC/EeYMed3CP9XpKWKEEIIIYQQQgghRC5ISxUh7nMznnuKdg3qEZeQwOh353P4zLkMZYZ378IzvXsQ6O9H5YcHEx51C4BOjRvy0tBBWCwWkswWpnz8GbuOHrdbrLUrNGVYtxcxmUxs3PMrv21dkma9v3cZRvZ9g0D/Kny/biErt38FgKd7cUb1f5Oirp5ordmw5xdW/f2d3eK05VqqCP7NA8CkiDgWRuj+4DTrXfxdKd2lLLdvJQAQdTaSkL3XUQ6Ksr0roBxMKBNEnr1JyO7r9yTmahWaMqCrsZ+37f2V1en2s69XGYb1fYNS/lX4df1C1ln3M8CsiauIT4jBoi1YLEm8+cEgu8d7cNcOvn7/XSwWC6269qTHoKFp1sdGR/Phm68RFnIds9lMl0cG07JLd8JCgvloxlQiw8NQJkXr7r3p1O9Ru8ebbNqMF2jTtjlxcfGMH/M6Rw6fyFDmnbmvUatWVVCK82cvMm7M68TGxlGufBnmzp9K9RqVmT1zER9/+LVdYz2wcwdfzX8Pi8VC62496PlYxn28aNrr3Ag29nG3AYNo1bU7txMSmDbqWRJv38ZsNtOodRv6P/G0XWNNVqtCU4Za6/Gmvb+yIv3xwqsMz1qPFz+uX8jv1nrs5FiA159ajJODEyaTI7uObmDpxg/vScx3MnnyZLZs2YKnpye///57foeTYsbbb9CuQ2vi4uIY/czzHD54JEOZuYvmULtuTZRSnD1znjHPTCAmJpaRY5+h7yO9AHBwdKRipfJUKVObmxGRdo15+luTaNPuIeO7N3oKhw9lPG+9O28qNWtXQynFubMXGTf6VWJj4ujdrwsjRw8HIDYmlpdeeJNjR0/ZNd4jB/7mh6/ewWIx81DrXnTuOSzN+rUrv2LnX6sBsJjNXLt6nrmfbCAhIY7FH7xG5M0wlDLRom1v2nUeaJcYG1dqzPM9nsdkMrF893K+2vxVhjLP93yeppWbEp8Yz7Qfp3Hy6kkAfpv8G7EJsVi0BbPZzNAFxvGlgn8FXurzEgWdCmI2m5n962yOXT5ml/ht1avYlGe6vYDJZGLtnt/4+c+0x44A7zKM7/cG5f0r8+W6hSzbZt/jr63XHx5F6+qNiLsdz8Qv53D08ukMZQI8fVn45BTcXYpw9NJpxi+ZSaI5iXLFS/L20BepVrIC76xYzKfrf0rZ5om2/XikWRe01pwMOs8LX84mISkxT2P3r1CPBt2eRplMnNmzjiNbf06zPrBWK6q36AdA4u14di1fRMT18wBUadaLCvU7oNHcvH6Rv36ZiyWP40vWsGITxvaYiEk58Pue3/h2yxcZyozt8QKNKzUjITGet36ayqmgE5T0Ks0bg2amfl6PEny+/iN+3v59yrJHWzzGyK7j6PZGWyJjb9olfvH/6a5JFaWUGThsLXscGAr4AL9rravblJsKRGut31FKfQG0BCIBBUzQWm+0lmsIvAMUBzSwHRgDPAzU11qPsnnNLcBErfVe6/M6wH6gk9Z6rU25V4CBgBmwAM9orXdZt/cD4qxFz2it+ymlKgEfA0WBgsA2rXWmV5FKqVbWGLoppR4HFgO1tdaHrOuPAN201heUUsOB8dbPZQJeAToAzYACQCBw0vrSb2qtlyqllgM+Wusmme3LdLFEa61d0y2bCrwOVNBan7EuGw+8BzTQWu9VSl0Abln3D8BWrfUY69+pPVBWa52glPIC9gLdgeQzUCmMv2MkcMP6eeYBbayfMx54WGt9Pov9l/69RwBBGHXppHW/7AWe0FonWvf3csD29SZqrTcopQKARUBVwAFYBTxvjf1x7lB/croPtNZlrK9R0fp5KwKJGN+FRcCnQC2tdZy13B/A11rrHzLbD7nVtkE9yvr70Wj4s9SrXJE5o56j87gXMpTbfew463fv5dc5b6ZZvu3AIdbs3A1A1cDSfPryizR7amRehpjCpEw80WMy0xc/S3hUMDNHfMveE39yJSQ1CRQdG8nilXNoWLV1mm3NFjNfrXqX80EnKFTAmdmjvufQmZ1ptrULBf4tSnJ+xRmSohMp178SUecjSYiIT1Ms5lo0F/9IG4s2a84vP4Ml0QImKNenIrcuRhEXHGvfkJWJQd0n896SZ4mICubV577lwPE/uRaaGl9MXCTf/z6HOun2c7J3Pn+K6Ht0sWAxm/ly3hxeenchHt4+vPbMUOo1e4gSZcqmlFn/68+UKBPI87PeI+pmBC8M7k+z9p0wOTgwcORYAitWJi42hilPDaFG/YZptrWXNm2bERhYiuaNe1K3Xg1mzplM985DM5SbOuVdoqNjAHj9jQkMe+IRFr3/BTdvRjLllTl06pz53yAvWcxmlrz3Ni/PfR9PHx9eefJx6jV/iIDA1P20btlSSpQJ5IU57xIVEcGEgQ/TvEMnnAoU4NX5iyjk7ExSUhJTn3ua2o2aUKF6DbvGrJSJ4d0nM2PJs4RFBfPWc9+y7/ifXLWpx9FxkXzx+xwapKvHiUm3mf75UyTcjsPB5MgbTy/hwKntnLl82K4x302fPn0YPHgwkyZNytc4bLXt0Jqy5crQqFYL6jWow5x5M+jcumeGclNemkb0rWgAps2cwvBnHuf99z5g0fyPWTT/YwA6dG7HM6OesHtCpU275gSWLU2zht2oW68mM99+lW4dMyZ/X3/17dTv3vSJDH9iAAsXLObyxav07TGMyMhbtG7bnDnvvZ7p9nnFYjHz3ZJZjH/5A4p5FmfGK49Rq15L/ANSv38duw+hY/chABzct5X1q77FxdWdxMTb9B88ntKBVYiPi2H6y4OpWqNxmm3zgkmZeLH3i4z6ZBQhkSF8OeZLth3dxvmQ1EutppWbUtKrJH1n96V6qepM6jOJ4e8PT1n/3EfPERmb9m8/uutoPlv/GTtO7qBp5aaM7jqa5z56Lk9jz+yzjOjxEq98/hw3ooKZN/Jbdh7/k8s21wu3YiP5aOVsmmRxDrSXVtUbEehTglavPUadwCrMGDiOXrMzXnO91OdpPt+4lJV7NzNj4DgeadaFb7au4GbsLab+uJAOtZulKV+8qBePt+5NuzeGkZB4m4VPvUb3Bm1YumNthtfOLaVMNOrxHOsXv0ps1A26jJjL5RM7iQy5nFImOiKYtZ++xO34aPwr1qNx79Gs/nAChd08qdykOyvmPYc56TYtBrxEYM2WnN2/Ic/iS2ZSJib0eonxn40gNDKYT0d9zV/H/uSCTV1uXKkZAV4lGfB2L6qWqs7zvSfzzKKhXL5xkeHzB6a8zrJXVrP1yOaU7Xzci9OgQiOuR1zL87jvR2aZUjlPZaf7T5zWurY1gXIbeDabr/2C1ro2MA74CEApVRz4GZikta4EVAHWAEWy+ZoDMJIwA5IXKKWaAN2AulrrmkA74LLNNoOs8dfWWvezLlsAzLUuqwK8n833B7iCkSxJw/qD/xWguTWOxsAhrfVI637oApy1iWWpUqooUBcoqpQKzEEM6R0GbG/f9gPS3ypobfPeY2yWm4HhtgW11oeTywIrsP4ttdbtgEcAf6Cm1roG0Bu4eZf4bN/7b+uys9bXrwEEYCTVkm2zKV/bmlBRwDLgN611BaACUBiYc5f3ztU+AFBKFQL+AD7UWpe31pUPgTBrLK9Yy/UCnPI6oQLQuUlDftpoHPD3nTiFu6sLPh7FMpQ7cvY8l4NDMiyPiU9NDjgXKoTWOq9DTFE+oDrXwy4TEnGVJHMSfx1aS/0qrdKUiYqJ4OzVoyRZktIsv3nrBueDjFYA8bdjuRpyDg83H7vFmszZx5nbkQkkRt1GWzSRpyNwC3TP9vaWROOEpEwKZVL2CjONwIDqhIRf5kbEVczmJHYfWkvtdPv5VkwEF64exWxOyvxF7qGzx49SvEQAPv4lcHRyonGbDuzbvjVNGaUUcbGxaK2Jj4vFxc0Nk4MDxTy9CKxYGYDCzi74lw4kPDT0nsTdsVMrlv5stDbYv+8w7m5F8PHxylAu+UcdQKFCBVO+Y2E3Ijh44BiJifb/G5w5fgzfgACKlzD2cZN27dmbbh+jsNnHcbha97FSikLOzgCYk5Iwm5MwDrf2VT6gOtfDjeOF2ZzE31kcL85lUY8Tbhv3ShwcHHFwcAQ7Htuyq0GDBri7Z//4cS907taBn77/BYB9e/7B3d0Nn+IZj63JCRWAQoULZbo/e/fvwa8/r7BfsFYdO7dm6U8rAdi/7xDu7kXwKX63717q+W3vnoNERhqtNffvPYifv33PJefPHMXbtyTexQNwdHSiQZMOHNi7Jcvyu/9eQ8OmHQEoWsyb0oFVjM9Q2AW/EoHcDM94Lv+3qpWqxpUbVwgKDyLJnMS6A+toUa1FmjItqrVg1b5VABy5dIQihYrgWcTzzi+swaWQCwCuhVy5EXUjz2NPr2LJ6gSFXea69Vpj68G1NEl37IiMieD0lWP3/BzYoWZTlu1cD8A/549TpLAr3m4eGco1rVSHVfv/BOCXHevoUMtIooTdusmhiydJMmcc68LB5EAhp4I4mEwUdipI8M2wPI3dM6Ait8KCiI64jsWcxIVDWylZpXGaMqGXjnM73jhW3Lh0Ehe31PphMjng4FQAZTLh6FSQ2Ki8jS9ZlZLVuBp2mWvhxt9/48F1NK/aKk2Z5tVasmbfHwAcu3QE18KueBZJewypV74hQWFXCL6Z2sJ4dPcJfLBqvl2vlcX/r5yOqbINKJ/DbXYAJayPRwJfaq13AGjDUq11cJZbW1l/VPcDHgc6WH/wgtES5YbWOsH6mje01kF3eTk/jOQI1m1ycnvrd6CatbWLLR+MlhDR1teMzqr1ho2+wErgB9ImRXLqN6AngFKqLEarkuz+8pgHjFdKZbcrmB9wTWttAdBaX9FaR+QoWhtaazOwm9Q6kpU2QLzWeonNduOBIUop1ztueXfzyHwfDAR2aK1X2sS7WWt9BJgG9FdK1QZmYdTtPOfr6UlQaOpFSlDoDfw873KRk06Xpo3569NFfDttCuPm5iR/mDMe7j6ERaaenMIjg/HMRWLEu6g/gf6VOX0P7jo7uhYgMfp2yvPE6Ns4uThlKOfs60L5RypTpls5CnoUSl2hoPwjlagyvAbRl2/ZvZUKQDE3HyJs9nNEVDDF3LO/n7XWjB/2IVNGfEeLBn3tEWIaETdC8fApnvLcw9uHiBtpD0/t+/Qn6OIFRvXpwuRhA3ls9ARMprSnp9BrQVw8fZJyVavZPWYAXz8fgq6mnpquXQvB188707LvzZvKgSPrKV+hDIs///GexGcrIjQET5t97OntQ0S65FPHvv0JunieEb268uLQgQwZOz5lH1vMZl56fDDPdO9EjfoNKV+tOvbm4ZbueBEVjEcO6rFSJmaN+pFPJm/i8JmdnLmSsUuLAF8/X4KupN51DQq6jp+/b6Zl53/4DkfP7aN8xXJ89lHa7hSFCxeiTbtW/L58lV3jheTvXmrdCAoKxtcv87oxd8E0Dh7bbHz3Pvs+w/oBg/uweeNfdosV4GZECB6eqd+/Yp7FuRmR+SVYQkIcRw7uoF6jthnW3QgN4vKFEwSWz/vvn7ebN8E3U49nIZEheLunPZ75uPlkKONj8518/6n3+XLsl/Rq1Ctl2Xsr3mNM1zGsfGUlY7qNYdGqRXkee3qebj7ciEyN80ZUMJ7umR+b77XiRb0IikhNil2/GYpv0bQ/5ou5uBEVG43ZYtyUuXYzlOJFMyYNbQXfvMGnG37i77d+YPfspdyKj2Hb8b15GruzuycxkanXm7GRN3B2y/p6s3z9Dlw9tQ+AuKgwjm5fRt8Xv6D/5G+4HR/DtTP/5Gl8ybzdfQixqaehkcF4pfv7e7v5EBJpWyYEL7e0ZdrW6sCGA6ktfZpVaUFoZChnr2XsriVEdmQ7qWL9wdkZo1VETnTC+NEPUB3Yd4eyjyilDiT/A+rbrGsGnNdanwW2YLT8AFgHlFRKnVJKfaCUapnuNb+1ec23rcvmApuUUquVUuOtLUayy4LROuLldMsPAsHAeaXUEqVU92y81gDge+u/AXcpeydRwGWlVHXr62R2Vb/ZZj+Mt1l+CaP1z2PZfK+fgO7W13nX2iXrbpLfe1f6FdbkWCOMFkvJHrKtB0qpckA10tUdrXUUcIHsJ/pyug+yrK9a61hgIrAV+EFrbZejcGZ3jHOaQV/1906aPTWSoW+8xUtD7Dl+RiaxkrNYCxUozMRB77Dkj7eJS4i5+wZ2kD7iuNBYTn51lDM/niDscCilOwemKXzmx5Oc+OIohX2c0yZc7OVf1olZnzzO9EUDmPflSFo3epgKZermZXQZZCe2w7t3UrpCBRYuW8WMz77hq3lvExuTeuc8PjaW+a+9xODRE3B2+bc51OzJrK1GVh9lwrip1K3ZkdOnztOjZwe7xpWZTONKV08O7dpJ6QoV+eC3P5i15Gu+mPtOyj42OTgw64tvWLRsJWePH+XyubP2D/pf1mOtLby08BFGzOlIuYDqBPiUy8vo/m9k1ugoq/089rmJ1CjfgNMnz9Czb9pLmA5d2rN75167d/2BnJ33xo95jTrV2xrfvV4d06xr2rwBAwb1ZsYbc+0S551jy7y116H92yhfqRYurmlbNMXHx/Lh3Bd4ZMhECjvn/TEu09Zn6cO+Q115ctGTDJk/hHGfjaN/0/7UCTQu/fo26cvclXPpPqM781bM49WHX83jyDPKybH5Xsu07qbb0dkpk56bsyvtazbjoVcH0mhSf5wLFKJXw3b/Lth0VBZ1NjPFy9akfP0O7F9jJF8LFHKlZJXGLHtnOD/PfAzHAoUIrG2vrleZVtR0Je68jx0dHGlWtSWbDxvdkwo6FWJImyf4fP1HeRuq+E/JTlKlsDXBsRfjx+fnZDwUJ7Nd/rZS6hzwDfBWNuP50bbbh/U9kw3AaNGB9f8DwGgRAtQDnsZonfGjdXyNZLbdf16wbrMEo+vRz0ArYKdSqmA2YwT4Dmhs22XH2nKiE0ZrmlPAXOt4J5mydoUqD2zXWp8CkqxJkdxKbu3SC/g1k/W2XV/SX2G8BbxANuqD1voKUAmYjJFg2qiUynjLJfP3bmSzrJy1XoUBl5LHqLFK3/3nLMZR9E5XLtmpk3myD1Je2GjBchP4IKsySqmnlVJ7lVJ74y5fyNbrDu/ehU2L5rJp0Vyuh4Xj7516B8Pf24vr4eHZDTGNnUeOUdrPFw+37Pa2y5nwyGA83VPvgHq4Fyc8KvtdNRxMjjw/8F22HVjF7qOb7BFiBknRt3FyLZDy3Mm1AEkxaQdWsyRaUrr53LoYhTIpHAo5pC1z20xMUDRFSrnZPeaIyGCK2eznYm7FuZmD/Rx5yyh7KyaCf45tJjDAvq0SPLx9CA9JvWMUHhpCMa+0d4z+XP079R9qjVIK34CSePv5c+3SRQCSkpKY/9okmrbrSIMW9u0fP3TYw6zb+D3rNn7P9eBQ/Euk3n328/Mh+HrW+9lisbBi+Tq6drvb4TDvefj4EGazj8NCQyjmlfbO55ZVv9OwZas0+zjo4sU0ZVyKFKFKnXoc3LnD7jFnOF64FSciB/U4WWz8LY6d30vtis3uXvg/YvjTQ9j092o2/b2a69dC8A/wS1nn7+/L9WtZNw62WCz89stKuvXskmZ5737d+fXn5XaL+fHhj7B+80+s3/wTwddD8S+RWjf8/Yvf/bv32xq6dE/9kVmlagXemTuVYY+NJcLOiaBiHsUJD0vdpxFhwRQtlnnLg91/r03p+pMsKSmRD+e+QKNmnanbsI1dYgyJDKF40dTjmY+7D6Hpvm93KpPcrSciJoItR7ZQtVRVALrW68rmw0YX5Q2HNlC1ZFW7xG/rRlQIXu6pcXq55exaI6891rInq175hFWvfEJwZBj+xVJb9/gW9c7QTSc8OhI3Z1ccrC0F/Yp6E3KXrjzNK9fjctg1wqMjSbKYWfPPNuqVy9tWmzGRN3BxT623zu5emXbhKepbhqa9x7D562kkxBnd7PzK1yY6IpiEmCi0xcylo3/jU6pKnsaXLDQyGB+beurtXjxDt7OQqGB83G3L+BBmU6ZxpWacunqCiGjjerqEZwB+Hv4sGfs9P01aibe7D5+P/RYP15y1DH/QWB7Q/+5XORlTpbbWerTW+jbGD+H0Azt4YAxkmuwFjKTBq8CX1mVHMRIgOaKUcsDoKvOadcDR94HOSqkiYCQ0tNZbtNavA6OsZe9Iax2ktV6ste4JJGG0SsgWrXUS8C4wKd1yrbXerbWeiZHguFMcj2Dsw/PWz1SGf9cFaCVGS4tL1hYc2aaNAW4PkHZckzuVT9Bar7Ymqd7CSOTkVPKYKuUxElQ97lL+KGlbLqGUcsMY8Pgk2auTWcpiH2Snvlqs/7J63U+01vW11vULlyyTnVBYvHIVbUaOp83I8azesZOH2xo/JOtVrkhUTAwh4dnvbRXol3phWqN8WQo4OqbMDJTXzlw9ip9XKXyK+Rt3AWp2ZO/xP7O9/XN9Xudq6Hl+/+sbu8SXmdiQWAq6F8SpSAGUSeFeoRhRF9JegDs6p/YKK+zjDEphjjfjUMgRUwEjuaIcFK4BRTIMcGsPF64epbhnKbyK+ePg4EjDmh05eCJ7+7mAUyEKFnBOeVy1fBOuBp+xZ7iUrVyV61cuE3LtKkmJiezctI66zR5KU8bLpzhH9+8BIDI8jGuXL+HjVwKtNZ/Nno5/6UC6PGL/WYq+XPITHdoOoEPbAaxdvYV+/bsBULdeDaJuRRMSkvFwUqZMyZTH7Tu04Mzpu/X6zHvlKlfh+uXLhAQFkZSYyI4N66nXLO14CV7FfTmy17hPcTM8jGuXLuHjX4KoiAhibhnHhNsJ8RzZuxv/0mXsHvPZq0fx9SyFt7UeN63ZkX3ZrMdFnIvhXMhIDjs5FqRGuUYEhd77/X6/WvzJV7Rp2pk2TTuz+ve1PDzAuBSp16AOUVG3CMlk/K3AsqVTHnfs3I4zp1KPC0XcitCkWWPW/LHObjF/sfhH2rd+mPatH2bNqk30e9hoKVO3Xk1rzJl89wJTv3sdOrbi7OkLAJQo4ctnX8xlzIiXOXf2Yobt8lqZclUJuX6Z0JCrJCUlsmfHOmrVS99oGmJjb3Hq+H5q12uVskxrzZefTMfPP5AOXQfbLcZjl49R0qsk/tbzc4faHdh2bFuaMtuObqNLPSOZVr1UdaLjowm7FUYhp0I4FzTOG4WcCtGoYiPOXjdas4VGhVK3rNHasUH5Bly+cRl7O3XlKP5epShu/SwtanVk5/Etdn/frHz953K6zHiaLjOeZt2B7fRp3B6AOoFVuBUfQ2hUxhthO04eoEtdo470bdKBdYfu3EUtKDyYOoFVKeRk3P9tVrkuZ65dytPPEXb1FEW8SuBarDgmB0fK1GzB5eNpG5i7uHvTatArbP/5XW6FpY60EHMzFO+SlXCwxudXrhaRofapCyeuHCPAsyR+1r9/21od2J7uWvOvY1vpVK8rAFVT6nLqMaRd7Y5sPJjaQP7c9TP0mN6eh2d35+HZ3QmNDOGJ+YMIj7bPuDDi/1OuplTWWkcrpa4ppdpqrTcqpTwwWmnMT1fOopSaDwxVSnUEFgK7lVJ/aK13ASilBgN3Gx66HXBQa52S3ldKfQn0UkrtBiw23S9qA3c8iyqlOgEbtTHbjC/gCVzN3qdP8QXwItZBdpVS/oCv1np/NuMYgDGL0Q7r9oHAeowkVI5preOUUpMwWsnkxgyMQVnvSClVF7iutQ5SSpmAmsChu2yWJa31NaXUSxgtX+40At5GYJZSaojW+itrou1dYKH1s+8BFiqlfLXW15VS9TFmdsrJUT39PvgOmKyU6qq1/gNS6s7VHI7Dk2sbdu+jXYP67F78EbEJCYx9L3VMlO+mTWH8vEUEh4fzZM9ujOrXGx+PYmz5cAEb9uxjwryFdGvelP7tWpOUlET87ds8PfPtO7zbv2OxmPl8xSxeGfYhJmVi877lXAk5S/uGxvjQ63cvpairJ7NGfkfhgi5orenabBDj5/WhtG8FWtbtzsVrp3h7lNF77bt17/PPqe12ixcADUHbrhDYoxwoRcTxMBLC4/GoZtydCD8ahnu5onhU90JbQCdZuLzuAgBOLo4EtC0NSqEURJ65ya2LOcpn5orFYua7lbMY97ixn//av5ygkLO0tO7nP3cvxc3Vk1dHpO7ndk0H8dr8Prg6F2XkoPcAMJkc2X1oNUdP/32nt/vXHBwdGTruBeZMHIPFYqFll+4EBJZj43Jj8My2PfvSa+gTfDxzGi89PgDQPPLMKIoULcrJQwfYvm41JcuW5+UnjKTKw0+NoHZj+7dK2LhhO23aNuevXcuJi4tnwtipKeu++nYBL0yYRkhIGPPefwPXIi4opTh29BSTXzSma/T29mT1um9wLeKCxaJ56umBtHqoX5rBNfOKg6Mjj0+YyMwJY6zTVnenZNmyrP9tGQDte/Wh9+PD+WjGNF4cMhCtNQOeG4lb0aJcPHOaD2dMw2KxoC0WGrdpS91mzfM8xvQsFjNLVs7iZWs93rzfOF60s9bjDbuX4u7qyVs29bhz00FMnN+HYkW8eK7fdEwmEyZlYsfhdew/ue0u72h/EyZMYPfu3URERNCiRQtGjx5N//798zWmDWs30a5ja3Yf2kZsXBxjn52Ysu67X75g/MhJhASH8P7Hc3F1czXq8eFjvDAudTz+Lt07smXTVmJj4zJ7izy3cf022rZ7iL/3/GGdznxKyrqvv1/ExPFTCQm+wfyFb+JaxBrz0ZO8NNGY/W78C89SzKMoM+cYnyHJbKZzu3/Tw/rOHBwcGfj4i8ybOQptMdOsVU9KlCzHlvVLAWjV3qjT/+zZTLWajSlYqHDKtmdOHmDntj8oUbI8b7xkxNjnkZHUqJO330Gzxczbv73NgqcWYDKZWLl7JeeCz9GncR8Alu1cxl8n/qJplaYse2kZ8bfjmf7TdAA8injw9lDj2sHB5MDaf9ay8+ROAN5a+hYTek7A0eRIQlICM5fOzDyAPGSxmPlwxWzeHP4BJmVi3d7lXAo5RxfrsWPV7qUUc/Vk/qhvcS7ogkVrejUbxDNz+9q9W/HmI7toXb0Rf07/hrjb8bzwZepcCktGzWTS1+8QEhnGrF8/4f0np/B8j+EcvXyGn6zTbXu7FWPF5I9wLeSM1prhbfrS/o1hHLhwgtX7/+SPVz4myWzm6OUzfL89b6dt1xYLu1d8SLth01HKxJl964kMuUTFhp0BOLV7NTXbDKCgsxuNeowAjL/Fqg/GcePKSS4e+Ytuo+ZjsZgJDzrHqd2r8zS+ZGaLmbnL5/DuEwsxmRz4Y89yLgSfo2cjI3m8fNcv7DixncaVmvHDi8uJvx3PzJ+npmxf0KkQ9cs34u1l2e1EIUT2qLv1Yc5sGl/r8qoYU8smtw54W2v9rXXdFxhTLi+1Pu8LjNBat7XO1jMHY2BXC8aYFOO5w5TKGK1PdmqtP7JZ1wN4DiMJ8T7G9MhJwBngaa31DZVxSuUbWut2Sqn3gK4Y0wEnx57p7XGVcUrllBiVUmMwEkmBGN1MlmDMjBOP0RXpWWvXFZRSZaz7pLr18V9AgLb5Ayil9ls/U2eMWZNSBhXQWgcopSwY0xEnew9wI/Ppl7eQ9XTCh7TWQzL5Oy3DmEWpjM3rpC/TCSP5kNxdajfG3zbTW/TW966vtb5hsyxlX1ifK4xWIqMwpkpOP6Vy8vTTJTHqXBXAG6O72DM2r9sTY3ppk3XfjUlOcuV2HyilKmMMZFsOY0rlQ8BYbR1cObPPlxWfTj3vk16/2dOyrv3v8OW110osuXuh+8z8oGH5HUKOPDM6+62P7he9at3baTXzwsoj96YLXF6ZM69VfoeQYz/MOJDfIeSYj2up/A4hRxwLFc3vEHLsh3X2TTTbw8Tv7dNtyF68HBPvXug+cywi48yL97NpHoXvXug+86n5+t0L3We2zd53b6Z+tIPPX+74QP0uSfbEW2vvy31+15YqmSVUrMuPAZleqWqtH0/3/BfgF+vjHcBDmWz2hfWf7XatrA8fJx2t9QpSWzY0zSKOVlksnwBMyGxdJmW3YAyMi9Y6TYxa6wUY0zMny/KsprW+gLWLkfVxhtlutNbJI0buAqZmsj4n4320snlcJosyj6d73icbZdaQdlDZu8WR4b1t94X1uQZq2RTJdE5KrfVloAeAUqop8L1Sqp7Wep91/XKMhEy24rAufzzd8z7pnp/AaIWVqaxeVwghhBBCCCHE/79cdf8RIr9prf8GSt+1oBBCCCGEEEIIYSeSVLGyjvkyO93i81rr3vkRz4PGOl1y+hmUHrtXY48IIYQQQgghhBD3miRVrLTWa4G1+R3Hg0qnnS5ZCCGEEEIIIcR9yHwfT0/8IMr2GB1CCCGEEEIIIYQQIpUkVYQQQgghhBBCCCFyQZIqQgghhBBCCCGEELkgY6oIIYQQQgghhBD/EWYlY6rkJWmpIoQQQgghhBBCCJELklQRQgghhBBCCCGEyAXp/iOEEEIIIYQQQvxHyJTKeUtaqgghhBBCCCGEEELkgiRVhBBCCCGEEEIIIXJBkipCCCGEEEIIIYQQuSBjqgghhBBCCCGEEP8RMqZK3pKWKkIIIYQQQgghhBC5IEkVIYQQQgghhBBCiFyQ7j9CCCGEEEIIIcR/hBmd3yH8X5GkihD3yMbuU/M7hBz57trT+R1CjnWa/lR+h5BjSZVL53cIObJ6cfv8DiHHVh7ZlN8h5Fg9n2L5HUKO+DzUI79DyDEf11L5HUKOhURfyu8QciQ8MSa/Q8ix6r6N8juEHKv9tFN+h5AjDUwF8juEHBvk4ZLfIeTIi59fze8QciyxXsn8DkGIXJPuP0IIIYQQQgghhBC5IEkVIYQQQgghhBBCiFyQ7j9CCCGEEEIIIcR/hEypnLekpYoQQgghhBBCCCFELkhSRQghhBBCCCGEECIXJKkihBBCCCGEEEIIkQsypooQQgghhBBCCPEfYUbndwj/V6SlihBCCCGEEEIIIUQuSFJFCCGEEEIIIYQQIhek+48QQgghhBBCCPEfIVMq5y1pqSKEEEIIIYQQQgiRC5JUEUIIIYQQQgghhMgFSaoIIYQQQgghhBBC5IKMqSKEEEIIIYQQQvxHyJTKeUtaqgghhBBCCCGEEELkgiRVhBBCCCGEEEIIIXJBuv8IIYQQQgghhBD/EdL9J29JUsWGUsoXmAc0ABKAC8A4rfUppdR4YCZQXGsdaS3vDHwK1AQUcBPopLWOVkpFa61dbV77caC+1nrUXWI4CBzTWg+wWfYF0BKIAgoDO4HJWuurSqktwEyt9Vqb8uOAilrrEUopbyAIGKW1/timzAVgn9a6r/V5P6Cb1vpx6/POwHTAxfrZftdaT1RKTQWeAkJtwm6ltb6ZyWdpBSwHzlsX3dBat0v3GgWA6Vrr79N91kjrNrFa66bWdb2AadZtkoCpWuul1nVbgIla673W52WsMVfPJA6sZTcopTTwntb6eet2EwFXrfVU6/MhwIvWfaCAxYAH4KC1nmQtUxrYDNTNbD/8G66liuDfPABMiohjYYTuD06z3sXfldJdynL7VgIAUWcjCdl7HeWgKNu7AsrBhDJB5NmbhOy+npehZapihSZ06/I8JpOJPfuW8+fWL9Os9/YqTb8+r+HvX5l16z9k21/fpKxr2uRRGtTvhUKxZ+9v/LXje7vHm5lpb06kTdtmxMXFM37sVI4cPpmhzDvvTaFWrSqgFOfPXWLcmKnExsbd0zhnjH6Kto3rERefwJhZ8zl8+lyGMsN7d+Hpfj0ILOFHlZ6DCY+8lbKuae3qTB/1BI4OjoRHRtF73Ct2jXfa9Odp07apsV/HTct0v76/aBq1alYhMSmJA/8cZdKLM0lKMuPuXoR3506hdOkSJCTc5vnx0zl5MuPnzUsHdu7gq/nvYbFYaN2tBz0fG5pmfWx0NIumvc6N4OuYzWa6DRhEq67duZ2QwLRRz5J4+zZms5lGrdvQ/4mn7Rprsvnz59OlSxdiY2N5/PHH+eeff7Isu2DBAoYNG0aRIkVSlrVs2ZJ58+bh5OTEjRs3aNWqld1jnjHGWo8TEhgzcz6HT2VSj/tY63GAH1W6Z1KPRz+Bo6O1Ho+xbz0GmPH2G7Tr0Jq4uDhGP/M8hw8eyVBm7qI51K5bE6UUZ8+cZ8wzE4iJiWXk2Gfo+0gvABwcHalYqTxVytTmZkRkhte4FyZPnsyWLVvw9PTk999/z5cY0tux/S/mzXoHs9lMj769GfLksDTroyKjmDHlDa5evkyBggV5ZfrrlKtQPmW92Wxm2COD8fbx5t0PFtyzuKfPnEybdg8Zx7hRr3D40PEMZd6dP42atauhlOLc2QuMG/UKsTFxdOzcmhcmj0ZbLCSZzbz+8ix278r6+5uX6lVsyjPdXsBkMrF2z2/8/OeSNOsDvMswvt8blPevzJfrFrJs29f3JK70yldoTOeuE1AmE/v3rmD71q/SrK9RqyPNWzwGwO2EOH5fMYfg66cB6NnnVSpWakZMTAQfLBh4z2L2q1CX+t2eQplMnNmznmNbl6ZZX6ZWS6q26AtA0u14di//gJvXLwBQuVlPytXvAGhuXr/Ajl/mY0lKtHvM02a8QJu2zY16POZ1jhw+kaHMO3Nfo1atqsY10NmLjBvzOrGxcZQrX4a586dSvUZlZs9cxMcf3pu6MuOZp2jXwDiPjH5vPofPZnIe6daFZ3r1INDfj8qPDiY8yjiP9G3VktH9+wAQExfPi4s+5Oj5C/ckbvH/Rbr/WCmlFPArsEVrXU5rXRV4GShuLTIA2AP0ttlsLBCsta6hta4OPAHk+oinlKqC8TdpoZRySbf6Ba11LaAS8A+wWSlVAPgeeDRd2UetywH6YyRhBpBRfaVUtUziqA4sBAZrrasA1QHbI9RcrXVtm3837/CxttmUa5f+NYCewMdKKad0nzV5m+SESi3gHaCn1roy0B2YrZSqd4f3ziqO2lrrDdblCUAfpZRXJvuhMzAO6KC1rgbUxUj2TAd6Wv9eAPOBKXmdUEGBf4uSnP/9LKe/O457hWIULFYoQ7GYa9Gc+fEkZ348ScheI3GizZrzy89w5scTnP7xBEVKuVG4uHOehpchXGWiR/cXWfLVWOYueJhaNTrg4x2YpkxsXBQr/3iXbdu/SbO8uE85GtTvxQcfDWXBooFUrtwcT8+Sdo03M23aNiOwbEmaN+nNpIkzmDl7cqblpr72Hu3bDqR9mwFcvXKdYcMfvqdxtm1Uj8AAPxoPepaJ7y5izvjnMi23+/Bx+j//Gpeup03Gubm6MGvcswx5eQYth43mqalz7BpvmzZNjf3atC+TXpjJzFmTMi336y9raPFQf9q2HkChQgUZOLAXAKPHPM7RI6do33YQY8dMZdr05+0ar8VsZsl7bzPpnXm8880P/L1hHVfOp71IW7dsKSXKBDL7y2957f0P+WbhApISE3EqUIBX5y9i9pffMuuLbzi4cyenjxy2a7wAnTt3pkKFClSoUIGnn36aDz/8MMuy9erVo2jRommWubu788EHH9CjRw+qV69O//797RwxtG1srccDn2Xi24uYM+EO9XjCa1y6lkk9nvAsQybPoOXQ0Tz1mn3rMUDbDq0pW64MjWq14PnRLzFn3oxMy015aRqtm3SiVeOOXL18leHPPA7Aovkf06ZpZ9o07cyM12fz9/ad+ZZQAejTpw+fffZZvr1/emazmXffnM17H77P9yt+Yf2qNZxP9wPpy08/p2Llinzz60+89tY05s56O836n775njJl05577K1Nu4cILFuKZg268OKEqcx8Z0qm5V5/dTbtW/alXYs+XL1yjeFPGj/wt23dSbsWfWjfqh8TRk/hnflv3JO4TcrEiB4v8dqSUTw7ty8ta3WipE/ZNGVuxUby0crZ/LLtqyxexf6UMtG1+wt88+U4Fs1/lBo1O+Cd7vriZkQQSz59jg/fH8yfWxbTo9dLKesO7P+db74cd89jbtDjWTZ/MZXf542kTK0WuPmkva6Jjghmw6eTWfX+GI5s/pFGvY37roXdPKjUpDtrFo3nj/mjUCYHytRsYfeY27RtRmBgKZo37smkiW8yc04W10BT3qV9m0dp3/oRrl69zrAnHgHg5s1Iprwy554lUwDa1q9H2RJ+NHryWZ5fsIg5o7I4jxw7Tr+XX+NScNrzyKXgYHpOeplWI8fy7g8/8s6YkfcibGFnSqlOSqmTSqkzSqmXMlk/SCl1yPrvb+vvzH9FkiqpWgOJWuuPkhdorQ9orbcppcoBrsCrpE1O+AFXbcqf1Fon/IsYBgJfA+uAHpkV0Ia5wHWgM7AU6KaUKggpLTT8ge3WTQYAzwMBSqkS6V7uHYzEUXovAjO01ies75mktf7gX3yuLGmtTwOxQLG7FJ0IvKW1Pm/d7jzwFsZn+zeSgE+A8Zmsm4zRoiXI+p7xWutPtdZxwATgA2vipYjW+tt/GUcGzj7O3I5MIDHqNtqiiTwdgVuge7a3tyRaAFAmhTKpvA4vg5IB1QgLu0xExFXM5iQOHl5PlSot05SJiYngytVjmC1JaZZ7e5fh8uXDJCYmYLGYOX9+P9WqtLJ7zOl17NiSpT+tAmD//iO4uxXBx8czQ7no6JiUx4UKF7znDSg7NWvIz2s3A7Dv2CncXF3w8cj4FTpy5jyXr4dkWN6nbQtWbdvB1ZAbANy4ad8fdR07tWDpz3ffr5s2/Z3y+MCBY/j5+wBQsWIg27fvAeDsmYsElPTDy8vDbvGeOX4M34AAipcogaOTE03atWfv9q1pCymIi41Fa018XByubm6YHBxQSlHI2UhgmpOSMJuTMHL29tWzZ0+++sr40bNr1y6KFi2Kr69vhnImk4m3336bF198Mc3ygQMHsmzZMi5fvgxAaGhohm3zWqfmmdRjz0zq8eks6nG7Fqzaeu/qMUDnbh346ftfANi35x/c3d3wKe6ToVz0reiUx4UKFwKd8SjRu38Pfv15hf2CzYYGDRrg7p7984q9HTt8hIBSAZQoGYCTkxPtOndk66YtacpcOHue+o0bAlCmbCDXr14j/EYYACHXg/lr6zZ69O11T+Pu2Lk1S380/pb79x7C3b0IPsUz3Ksh+pbtuaMQ2lovYmNSWzo6OxfOrLrYRcWS1QkKu8z1iKskmZPYenAtTdKdeyNjIjh95Rhmc1LmL3IPlAioSnj4FSIigjCbkzhyaD2Vq6RNMly+dJj4eKP1wZVLR3BzT/1eXrxwgLjYqHsas2dABW6FXSM6IhiLOYmLh7ZSskqjNGVuXDrB7fiYlMfObql1RplMODgVQJlMODoVJDYq3O4xd+zUiqU/Gy3W9u87bD1XZ1KPba+BChVMqcdhNyI4eOAYiYn3rq50btyQnzZazyMnT+Hu4oJPsUzOI+fOczkk43lkz/ETRFo/z74TJ/H3zHhtIh4sSikHYBHG7+SqwAClVNV0xc4DLbXWNTFuln/yb99XkiqpqgP7slg3AKPlxzagklIq+Ui9GJiklNqhlHpTKVXBZpvCSqkDyf8wuq3czSPAj9b3yqxlia39QGWtdRiwG+hkXf4o8KPWWiulSgK+WuvdwE/W17f1E1BXKVU+3fI77QuA8TafbfNd4nzIpmyGdtlKqbrAaa217ZHubZttkpMV1TKJaS/GlyU7bOM4YE2UJVsEDFJKpb+yzHI/aK1XAeHAV8CIbMaQI46uBUiMvp3yPDH6Nk4uThnKOfu6UP6RypTpVo6CHjYtWRSUf6QSVYbXIPryLeKCY+0RZgo3N28iI1PvAERFBePu5p2tbYNDzhJYpg7Ohd1xcipIpYpNcXcvfvcN85ivnzdBQandpK5dC8bXL+MPJoD35r3GgcNrKV++DIs//+FehQiAn7cnV0NvpDy/FnoDP+/sXwiUK+mPu6sry+a9ybqP36V/h9b2CDOFr68PQUGpdePatZAs9yuAo6MDfft1ZvPmHQAcO3aaLl2MGGvXrkpAgG9KwsUeIkJD8PRJrX+e3j5EpEsydOzbn6CL5xnRqysvDh3IkLHjMZmMU6rFbOalxwfzTPdO1KjfkPLVqtst1mQlSpRISYgAXLlyhRIl0ufRYdSoUaxYsYLr19N2B6xYsSLFihVj8+bN7N27l8cee8zuMft5eaYkRMBaj71yWI+LuLJs/pus+/Rd+ne0bz0G8PXzJejKtZTnQUHX8fPPmLwCmP/hOxw9t4/yFcvx2Udpu1QULlyINu1a8fvyVXaN90ETGhKKj00y0Ke4D6HpfgiVr1SBLRs2AXD08BGuX7tGiPXu87zZ7zBqwlhM6t5e3vr6FSfoaup3KigoGF+/zM9hc9+fzsHjf1K+fCCLP/0uZXmnrm3ZunMFX/3wARNGZ97SJa95uvlww+a8fSMqGE/37J237yU3N5801xeRUSEUuUOcdev34PSpHfcitCwVdvckNjL1+BYbGUZht6yPb+XqdyDolHHJGRcVzvHtv9LrxcX0mfwVt+NjuH7G/t3BfP18CLqa/lyd+X5+b95UDhxZT/kKZVj8+Y92jy0rvl6eBNlcDwXdyNl5xNagDu3ZuG9/XoV23zOjH8h/2dAQOKO1Pqe1vg38gNEzIoXW+m+tdYT16U4g4N/uT0mqZM+jwA9aawuwDKNLDVrrA0BZ4G2McTb22HQJibPtbgK8dqc3UEo1AEK11heBjRjJjju13rC99WnbBci268+jGIkTMCpU+kSN2Rp75u37smbb/eduV7G23W5s20mPV0qdBHYBU9NtY9v9Z5B1mYIM3yTbfZDZt8x2WfruP2dTCmkdhZEcGXOXz5LeImCP1jrj4BDJASr1tFJqr1Jq79Ltv+Tw5TNK/yHjQmM5+dVRzvx4grDDoZTuHJim8JkfT3Lii6MU9nFOm3Cxi4x343U2b7eFhl7gz21fMXzYQoYNXcC166exWMx5HeBdZdaiIKvPMGHcNOrW6szp0+fp0bODvUNLJ/f7GsDBwYFalcox+KXpPPriVCYMeZiyAf55GWAamTXUuFO8b82axK6d/7B71wEAFr7/Fe7uRVi3/huGP/EwR46cwpxkv/qRaWjpPsShXTspXaEiH/z2B7OWfM0Xc98hNsZonWBycGDWF9+waNlKzh4/yuVzZzN5wbyVnbrr5+dH//79ef/99zOUdXR0pF69enTt2pWOHTsyZcoUKlSokKFcnsrB9y0zDg4O1KpYjsGTpvPoxKlMGGrfegw5q8tjn5tIjfINOH3yDD37dk+zrkOX9uzeuTdfu/7cjzLbl+nr9pAnh3ErKoohfR9l6bc/ULFyJRwcHNm+ZSvFPDyoXC2791ryTk7OHeNHT6FOtdacPn2OHr07pSxf88dGWjTuwfDHxvDiy3ccfi/PZNaG7l61ksmRHARaJrAedet1Z/2ahfaN6S5U5kFnWrZ42RqUq9+ef9Z8AUCBQi4EVGnE8neeZNnMoTgWKESZ2q3sFmuynNSHCeOmUrdmR06fyo9roFSZ7eecnEeSNatZg4Ed2jF98Zd3LyzudyWAyzbPr1iXZeUJYPW/fVMZqDbVUaBf+oVKqZpABWC99aRZAGN8kUUAWutojETLMqWUBegCZByd7O4GAJWtA8gCuAF9gaw6O9fBSL4A/Aa8Z231UVhrnZxmHQAUV0olJyb8lVIVrF1ukn2NkVQ5arPsKFAPOJiLz5Fdc7XW7yil+gBfKaXKaa3j71D+KFAfOGSzrC5GaxWAMNJ2IfIAbpB98zBa/9jeTkzeD5uy2MZi/ZclrfUnWJuUHV70T46O8knRt3FyLZDy3Mm1AEkxaYfsSe7iA3DrYhT+LQJwKOSAOT71B6fltpmYoGiKlHIjIfxOu/jfiYoKSdO6xM2tOFG3sv8n2LtvBXv3Gc2nO7QfQVRkxmaa9jB0WH8GDeoFGF1O/P19Sa76fn7FCb6edTcIi8XCiuXreW7EY/z0w0q7xjmsVxcGd2tvxHniDCW8U5vk+nl7cf1G9psGXwsNIzwyitj4BGLjE9h58CjVypXh3JWgPIt36OP9UvfrwWP4+6fWDT8/nyz36/gJT+LpWYwnX5iZsiw6OoYJ46enPN+5+zcuXcq7WNPz8PEhLCT1bl1YaAjFvNI2gd6y6nd6Dh6CUgrfgJJ4+/kTdPEi5aumDlPlUqQIVerU4+DOHZQsW468NmLECJ566ikA9uzZQ8mSqf31AwICCApKu4/q1KlD+fLlOXPmDADOzs6cPn2aChUqcOXKFW7cuEFsbCyxsbFs3bqVWrVqcfr0afLSsN7p6rFPunoc9i/rcfm8rccAw58ewuDHjXsS/+w7hH+AX8o6f39frqcb68WWxWLht19WMnLss/zwzc8py3v3686vPy/P0zj/H/gU9yHEphVVSHAIXt5p75S7uLry6pvGmCNaa/p07IZ/gD/rV69l25Y/+Xvbdm4n3CYmJoapk15h6uzMx735tx5/4lEGPWZcNh745wj+JVJb2Pj7Fyc4ky5rySwWCyt+XcNzo4bx43e/pVm3a8c+SpcpiYdHUcLDb9oj9BQ3okLwsjlve7kVJzzK/l3/cioqMu31hbubD7eiMl5fFC9enp69X+abL8cRF3dvu/ukFxt5A2f31OObs7sncZl04SnqW4ZGvUez+Yup3I4zui/5lq9NdEQwCTHGZ7h89G+8S1XhwoEteR7n0GEPM2iwMVzkgQNH8S+RvXM1JF8DreO5kUP56Yd715VxeLcuDO5onEf+OX0Gf5vrIX+vnJ1HAKqWKc3csSN59LVpRNy6dfcNRL5SSj0N2M4A8In191ZKkUw2y/Q3mFKqNUZSpfm/jUtaqqTaBBRUSj2VvMDaemQ+xiwzZaz//IESSqnSSqlmya1JrIPGVgUu5vSNlVImjNYvNZPfB6OZUoYuQMowBmM8lzWQktjZgtEdKXkWnUqAi9a6hM1rziTdoLZa60RgLsaArMneBl5WSlVMjk8pNSGnnys7tNbLMBIjQ+9S9B1gsnXMmOSxY8ZZYwXj8w9WqbeLhmLMyJPdOMIxWvU8YbN4JjDHOisUSqmC1n1/T8SGxFLQvSBORQqgTAr3CsWIupD2rqajc2petLCPMyiFOd6MQyFHTAUcAFAOCteAIiRE2C+hAnDl6jG8PEtRrJg/Dg6O1KrRnuMntt59QysXFyMn5u5enGpVW3Pg0Nq7bJE3vlzyMx3aDaJDu0GsXbOFfg93AaBu3epE3YomJCQswzZlyqS2Emzf4SHOnLlg9ziX/LaKtk+Op+2T41m9fWdKV4d6VStyKyaGkPCIu7xCqjXbd9G4RlUcHEwULliAulUrcvrSlTyN98svltKh/WA6tB/M2tV/0q//3ffrgIE9adWqMSOfezXNnSY3N1ecnIy6PnBQT3btPJCmT3deK1e5CtcvXyYkKIikxER2bFhPvWZp++97FfflyF4jp3szPIxrly7h41+CqIgIYqwXZbcT4jmydzf+pcvYJc4PPviAOnXqUKdOHX777TeGDBkCQKNGjYiMjMzQxWfVqlX4+fkRGBhIYGAgsbGxKa1Rli9fzkMPPYSDgwOFCxemUaNGHD+em/sDd7bk11W0fWI8bZ8Yz+ptmdTjsBzW45o29bhKRU5fzNt6DLD4k69SBpdd/ftaHh5gzNZRr0EdoqJuERKc8cdzYNnSKY87dm7HmVNnUp4XcStCk2aNWfPHujyP9UFXpXo1Ll+6TNCVqyQmJrJh9Voeap12bK5bUbdITDRuMKz45Vdq16uLi6srI8aPZsXGNfy67g+mvz2Teg3r2y2hAvDF5z/QvlU/2rfqx5pVm+j3iDEUXt36NYmKiiYkOOOP/jKBqYnPDh1bcfb0+QzLa9SsglMBJ7snVABOXTmKv1cpihfzx9HBkRa1OrLz+Ba7v29OBV09jodnSYoW88PBwZHqNdtzIt31hbt7cR4ZNItlS6cSFnY5i1e6d8KunqaIlz8uxYpjcnCkdM0WXDm+O00ZZ3dvWgyazN8/v8etsNRkcMzNULxKVsbBqSAAvuVqERlqn8/05ZKf6NB2AB3aDmDt6i30698NgLr1aljP1ZnU4zKp9bV9hxacOX0+Qxl7Wvz7KtqMHk+b0eNZvWMnD7e1nkcqVSQqJoaQiOyfR0p4e7Hk1cmMfGce567a72aNyDta60+01vVt/qUfD+UKYDsqdADGTLhpWBtOfIYxCUrGi9IckpYqVtYxSHoD86yjBMdjTKncCkg/lPSvGMmJa8CH1h/yJuAPIDd9PFoAV7XWV22WbQWqKqWSb4m9rZSaAjhj9P1qbe0nlux7jBYzyUmTAdY4bf2C0Q1oerrln2MMwguA1vqQMqZl/l4Z00Zr62dLNl4pNdjmeS+t9YXsfNAsTAO+U0p9an3+tlLqVZv1DbXWB5RSk4CV1kF5y2Dsg+SuN58AlYGD1mmS95K2W9ND1rFtkr2prdMx23gXSGlzq7VepZQqDmyw/o01RuLq3tAQtO0KgT3KgVJEHA8jITwej2pGX9Hwo2G4lyuKR3UvtAV0koXL6y4A4OTiSEDb0qAUSkHkmZvcumjfuzYWi5kVv89h+NAFKJMDe/etICTkHA0bGFPV7d6zDFdXT0Y99yUFC7qgtaZZ00eZu+AREhJiGDRgNs7O7ljMSaxYOSdlwLl7aeOGv2jTthl/7fyNuLh4JoxLnYHhq2/n88KE6YSEhDFvwRu4FnFBKcWxo6eYPGnWPY1zw859tG1Un13ffkRcQgJjZ6d25/h21hQmvL2I4LBwnuzTjZEDeuPjUYzNny9g4659THh7IacvXWHT7n/Y/PkCtLbw7R/rOXH+kt3i3bjxL9q0bcpfO5YZ+9Wm1clX38zlhednEBx8g1mzJ3HlynVWrPwcgFWrNjNv7udUqBDI/AWvY7ZYOHXqPBMnvGm3WMGY6vbxCROZOWEMFouFVl27U7JsWdb/tgyA9r360Pvx4Xw0YxovDhmI1poBz43ErWhRLp45zYczpmGxWNAWC43btKVus399A+SuVq1aRZcuXThz5gyxsbEMG5Y6De0ff/zBk08+ybVr17Lc/sSJE6xZs4ZDhw5hsVj47LPPOHr0aJbl88KGnfto26Q+u7631uOZNvV4zhQmzLbW47429XjJAjbu3MeEOQs5ffEKm3b9w+YlC9AW+9djgA1rN9GuY2t2H9pGbFwcY5+dmLLuu1++YPzISYQEh/D+x3NxdXM1jhGHj/GCzZTlXbp3ZMumrfd8GvbMTJgwgd27dxMREUGLFi0YPXr0PZn5KSuOjo48//Ikxj0zEovZQrfePShbvhzLfjRO130e6ceFc+eY9vJrmBwcCCwbyMvTXs+3eJNtXL+Vtu0f4u+9q4mLi2O8zZgoX//wARPHvU5I8A3mL3or9dxx5CQvvWAcC7t2b0+/R3qQlJhEXHw8zz0xMau3ylMWi5kPV8zmzeEfYFIm1u1dzqWQc3RpaLTAWbV7KcVcPZk/6lucC7pg0ZpezQbxzNy+xCXYL7GdWZyrVr7DY48vwKRM/LN/JaEh56nf0GhhsXf3r7Rs8wTOzu507fFiyjaffPA4AP0enk6ZsnVxdi7KhBdXsmXjJ+zfZ9/WpdpiYe+Kj2gz7A2UMnF23wYiQy5RoaHR5ev07jXUaPMoBZzdaNDjOes2ZtZ8MIGwK6e4dOQvOo+ah7aYiQg6x5nda+waL8DGDdtp07Y5f+1abpyrx05NWffVtwt4YcI04xro/XTXQC8aLUu9vT1Zve4bXIu4YLFonnp6IK0e6mfXmyAb9uyjXYP67P78I2ITEhg7N/U88t0bUxg/fxHB4eE82aMbo/r1xqdYMbYsWsCGvfuYMH8hzw98lGJFijB7xDMAJFksdBhr3xkG7xdmdT/29csTe4AKSqlAjAllHsWYDCaFUqoUxu/mx7TWp/LiTVVu+p0Jkd+UUrOARkDHdMml+1ZOu//kt++uPX33QveZrz57oHYxAEmV79TN8/7jeDLrH+b3q5WHHrwWAfV87jYh2v3F56FMJ6y7r+n99h/4Ma+FRNs3aZTXwhPv3Q/vvFLdt9HdC91naj+dcRD7+1kDU4G7F7rPVNT2GxzdHl78/OrdC91nEuuVvHuh+0zIquX2n97PTia/2uDBu2gGZr655677XCnVBWNoBwdgsdZ6hlLqWQCt9UdKqc8whtlI7mGSpLWu/2/ikpYq4oGktc4w57gQQgghhBBCiP8u6yytq9It+8jm8ZPAk3n5npJUuces0wqnb1v7c7qZcR4oSqmOwOx0i89rrXvnRzxCCCGEEEIIITKXzemJRTZJUuUesyZPHtgESma01muBezOqqBBCCCGEEEIIcZ+Q2X+EEEIIIYQQQgghckGSKkIIIYQQQgghhBC5IN1/hBBCCCGEEEKI/wgZUyVvSUsVIYQQQgghhBBCiFyQpIoQQgghhBBCCCFELkj3HyGEEEIIIYQQ4j9Cuv/kLWmpIoQQQgghhBBCCJELklQRQgghhBBCCCGEyAVJqgghhBBCCCGEEELkgoypIoQQQgghhBBC/EeY8zuA/zPSUkUIIYQQQgghhBAiFySpIoQQQgghhBBCCJELklQRQgghhBBCCCGEyAUZU0UIIYQQQgghhPiPMKPzO4T/K9JSRQghhBBCCCGEECIXpKWKEPeIsjxY42zfxpLfIeSci1t+R5BjulB+R5BDrq75HUGOOTrkdwQ5516gWH6HkCO6cH5HkHOOhYrmdwg5Fp4Yk98h5IiHk0t+h5BjJtei+R1CjrmZovM7hBwpoR+8c7UzzvkdQo6owg/eudrknpTfIQiRa5JUEUIIIYQQQggh/iPM0vsnT0n3HyGEEEIIIYQQQohckKSKEEIIIYQQQgghRC5IUkUIIYQQQgghhBAiF2RMFSGEEEIIIYQQ4j9CplTOW9JSRQghhBBCCCGEECIXJKkihBBCCCGEEEIIkQuSVBFCCCGEEEIIIYTIBRlTRQghhBBCCCGE+I8w53cA/2ekpYoQQgghhBBCCCFELkhSRQghhBBCCCGEECIXpPuPEEIIIYQQQgjxHyHdf/KWtFQRQgghhBBCCCGEyAVJqgghhBBCCCGEEELkgiRVhBBCCCGEEEIIIXJBxlQRQgghhBBCCCH+I2RMlbwlLVWEEEIIIYQQQgghckFaqjxglFK+wDygAZAAXADGaa1PKaXGAzOB4lrrSGt5Z+BToCaggJtAJ611tFIqWmvtavPajwP1tdaj7hLDQeCY1nqAzbIvgJZAFFAY2AlM1lpfVUptAWZqrdfalB8HVNRaj1BKeQNBwCit9cc2ZS4A+7TWfa3P+wHdtNaPW593BqYDLtbP9rvWeqJSairwFBBqE3YrrfXNdJ+jIzDb+rQ8cBWIAw4Bi4HlwDnr5/ldaz3Rut0EoJrW+gnr80HAQK111zvtt9xwLeWGX4tSoCDi2A1u7LueZr1LiSKU6lqO21G3AYg6G0HonmsoB0Vg38ooB4VSiqizEYTsCsrr8DKoVKEJvbpMxGRyYNe+39i09Ys06328yvBIn9cJ8K/M6vUfsOWvr1PWtWg6kEb1eqHRXA8+ww/L3iAp6bbdYwaY9tpo2rRqRFxcPONfnM2Ro6czlHn/vVeoVaMiiUlmDhw8waRX3yUpyUyTRrVY/PGbXL5s/G1Wrd3GvIVf2T3mGc89RbsG9YhLSGD0u/M5fOZchjLDu3fhmd49CPT3o/LDgwmPugVAp8YNeWnoICwWC0lmC1M+/oxdR4/bNd5pU0bRpqV1H0+aw5Fjmezjd1+mVvVKJCYlceDQCSZNec/Yxw1rsfij6Vy+Yt3H67Yxb+HXGbbPS//s2MGSee9hMVto26MHvYcMTbM+Jjqa96e+zo3g65jNZnoMHETrbt0BGNG7F4WcnTE5mHBwcGD2ki/tGmtWZr83k/ad2hMXG8eIJ0dy8MChLMvOmTuLgUMGEuBZ6h5GaK3HDesRF3+HetzDph73T63HyWpXLM/qeXN46q13+H3733aPefpbk2jT7iGjLo+ewuFDGb87786bSs3a1VBKce7sRcaNfpXYmDh69+vCyNHDAYiNieWlF97k2NFTdot1x/a/mDfrHaOO9u3NkCeHpVkfFRnFjClvcPXyZQoULMgr01+nXIXyKevNZjPDHhmMt483736wwG5xZtfkyZPZsmULnp6e/P777/kdThrTpo6lTesmRr2Y+BZHjmT8u74//zVq1qhsHOMOHuelyXNISjLz7DMD6N2zAwAOjg5UKF+aWnW6cTPyVobXyAu1KjRlaNcXMZlMbNr7Kyu2Lkmz3t+rDM/2fYNA/yr8uH4hv283zmlOjgV4/anFODk4YTI5suvoBpZu/NAuMaYXUKE+TbuNQJlMnNizmoNbf0yzvnytNtRq8QgAibfj2L58AeHXjeNJgUIutOgzAY/iZdAa/vzlHUIu2/ecl55PhVrU7PY4ymTi4p5NnNq6PM16vyr1qdLuYbTWaIuZw398SdjFk/c0RoBpr4+hTevGxMUlMH7iTI5kcnx6f94UataolFqPX37HqMdPP0rvXu0BcHCw1uO6PexSj98c+gxta9cn7nYCYz+cy+ELZzOUKeVdnI/GTKKoiyuHL5xl1KJ3STQnMaJbH/o0aw2Ao4OJCiVKUu3pgTgXLMT7I57Hu2gxtLbw9cY1fLZmRZ7HLv4/SVLlAaKUUsCvwJda60ety2oDxYFTwABgD9Ab+MK62VggWGtdw1q+EpD4L2KogtHCqYVSykVrHWOz+gWt9VJrnOOAzUqp6sD3wKPAWpuyjwIvWB/3x0jCDAA+Jq36SqlqWuuj6eKoDiwEumqtTyilHIGnbYrM1Vq/c6fPYk3yrLW+3hZgotZ6r/V5K2Cb1rqbUqow8I9S6let9V/AAmCvUqoZcBR4E2h7p/fKFQX+rUpx/rdTJEUnUvaRKtw6d5OEiPg0xWKCorn0+5m0n82sufDrSSyJFjApyvatxK0LkcQFx2AvSpno0/0lPl4ygsioYMY9+zVHj/9JcOj5lDKxcZH89sfbVK/SKs22bkW8ad7kUebM709SUgKPPTKLOjU6sueflXaLN1mbVo0ILFOC5m0GU7d2FWZOG0/3viMylPt1xQZGT5gBwKJ5rzLw4a589Z1xst295zBDn3rZ7rEma9ugHmX9/Wg0/FnqVa7InFHP0XncCxnK7T52nPW79/LrnDfTLN924BBrdu4GoGpgaT59+UWaPTXSbvG2admIwNIlaN7uMes+Hkf3fhnf79cVGxn9/FsALJqbbh/vPczQp1+xW4y2zGYzn7/7NlPmv4+Hjw+Thz9O/YceomRg2ZQya5cuJSAwkJfeeZfIiAjGPvIwzTt2wsnJCYCpiz7ArWjRexJvZtp3akfZ8uWoW7U+9RvW593336XdQ+0zLVu7bm3c3d3vcYTWelzCj0bDrPV49HN0HptJPT56nPW7MtZjAJPJxJQnhrJ53z/3ImTatGtOYNnSNGvYjbr1ajLz7Vfp1nFQhnKvv/o20dHG8fb16RMZ/sQAFi5YzOWLV+nbYxiRkbdo3bY5c957PdPt84LZbObdN2cz/9MP8PEtzvBHBvNQ65YElkutx19++jkVK1dk9oJ3uXDuPO/MmMXCz1NPwz998z1lygYSEx1tlxhzqk+fPgwePJhJkybldyhptGndmMDAkjRv+Sh161Rj5psT6d7r6Qzlfv1tHaPHTgNg4YKpDHi0O19/8xsfffw9H338PQDt2jbjqScftltCRSkTw7tPZsaSZwmLCuat575l3/E/uRqamtCMjovki9/n0KBq6zTbJibdZvrnT5FwOw4HkyNvPL2EA6e2c+byYbvEahtz8x6j+WPxJGKibtB7xEIuntjBzZBLKWVuRVxn5afPczs+mpIVG9Ci9zh++3AMAE27jeDyqb1s+G46JgdHHJ0K2jXeTD4AtXoM56/FM4iLCqP1iJlcO7GXWyFXU4qEnD3MteN7AXDzLUXDAePYMHfCPQ2zTavGBAYG0LzVQOrWqcrMGRPo3uvZDOV+/W09o8dNB2DhgtcY8Gg3vv5mOR998gMfffIDAO3aNuWpJ+xTj9vWrk9ZX3+ajH+KuuUrMfuJkXSZknFfvTpwGB+v+o3lO7Yy+4mRDGzdgS83rOKD35fxwe/LAGhftyHPdOnFzZhoCjg5MfWbzzh84SwuhQqz7q35bD38D6euXs7zz3A/kO4/eUu6/zxYWgOJWuuPkhdorQ9orbcppcoBrsCrGMmJZH4YLTCSy5/UWif8ixgGAl8D64AemRXQhrnAdaAzsBToppQqCKCUKgP4A9utmwwAngcClFIl0r3cO0Bmv1ZfBGZorU9Y3zNJa/3Bv/hcWdJaxwEHgBLJ7wWMABYBc4DFWuuMt1f/pcLFXUi4mUBi1G20RRN5KpwiZYtme3tLogUAZVIok8rr8DIoFVCNsLDLhEdcxWxO4p/D66iWLnkSHRPB5avHMFuSMmzvYHLAyakgJpMDBZwKEXkrNEMZe+jYrhlLf10HwP4Dx3F3c8HH2yNDuU1bdqU8PnDwBH5+3vckvsx0btKQnzZuBmDfiVO4u7rg41EsQ7kjZ89zOTgkw/KY+NTEnHOhQmit7Rcs0LFdU5b+th6w7uMirpnv4z/T7ePiXnaNKytnjh3DNyCA4iVK4OTkRLN27dm7dWuaMkpBXGwsWmvi4+JwdXPDwcEhX+LNTJfuXfjhG+Pidu/uvbgXdaO4b/EM5UwmE9NnvsFrL0+9xxFa6/EGm3rskrN6DPBkz678sX0HN25G2jXWZB07t2bpT0ayd/++Q7i7F8Enk3qanFABKGTzHdu75yCR1h8Z+/cexM/fx26xHjt8hIBSAZQoGYCTkxPtOndk66YtacpcOHue+o0bAlCmbCDXr14j/EYYACHXg/lr6zZ69O1ltxhzqkGDBvmSALybDu0fYukvawDY/89R3Nxc8fHxzFBu0+adKY8PHDyGn1/Gv3+vnu1YvnyD3WItH1Cd6+GXCbGeq/8+tJb66c7VUTERnLt6FLM547k64XYcAA4Ojjg4OIKdzx8A3gGViAwL4lbEdSzmJM4e2kKZKk3TlAm+dIzb8dHWx8dxcTPO0U4FnfEtU4OTe1cDYDEncTvefjeYMuMRUJ6YsGBiI0LQZjNXDv2NX5UGacqYb6demjs6FQT779YMOnRoztJlxv3P/f8cw62IKz7emdTjLbb1+Dh+vhmvh3r1aMvyFfapxx3rNeanbZuMOM+cxM3ZBZ+iGc8dzarV5Pddxk+Nn7ZupFP9xhnK9G7akl///hOAkJsRKS1eYuLjOH31Mr4eGT+/EJmRpMqDpTqwL4t1AzBahGwDKimlks/Ui4FJSqkdSqk3lVIVbLYprJQ6kPwPmJaNGB4BfrS+14C7lN0PVNZahwG7gU7W5Y8CP2qttVKqJOCrtd4N/GR9fVs/AXWVUuXTLb/TvgAYb/PZNt/1U92BUqoYUAFI+VWltf4bOA60w0is5DknlwIkRqd2f0mKvo2Ta4EM5Zx9XSk3oCqle1SgoEchm8Ch3KNVqfxELaIvR9m1lQqAu5sPNyODU55HRgXj7pa9xEPUrVC2bP+GKRP/4PVJa4lPiObUmZ133zAP+Bb3Iigo9Qfbtes38PXN+se8o6MDfXu1Z/Ofu1OW1atTlfW/f8bXi2dRsUIZe4YLgK+nJ0GhN1KeB4XewM8zZyf+Lk0b89eni/h22hTGzX0/r0NMw7e4F0HXbPdxKL53SJik7ONte1KW1atdlfUrPuXrz2ZSsXwZe4ZLeGgInj6pCQgPHx/CQtMm+Tr168/VC+d5untXnh88kGHjx2MyWU+pCt4cO4YXHx/C+t9+tWusWfHz9+PqldS7oEFXg/Dz98tQ7ukRT7H6jzUEXw/OsM7efL3S1eMbOavHvp4edGnamC/+WGOP8DJ/Tz8fgq6mdsMMCgrGN5MfxgBzF0zj4LHNlK9QhsWffZ9h/YDBfdi88S+7xRoaEoqPr2/Kc5/iPoSGpE1Ola9UgS0bjB8nRw8f4fq1a4QEG3Vh3ux3GDVhLCYll4p34+ub/jwScvdjXJ+ObNmS9jxXqFBBWrVsxKrVW+wVKh5uPoRFptbh8KhgPNyzn9xTysSsUT/yyeRNHD6zkzNXjtgjzDRc3L2IiUw9BsdE3sDFLev9W7l+Jy6fMs4fbh5+xMdE0rLvC/QZ9SEtek/A0alQltvaQyF3D+Iiw1Kex0WGUcgtYxLAr2oD2o1/jyZDX2L/L/emW5WtjNdDoXe/HurdkS0210NgW4//tEucfh6eBIWl1odr4TfwS5f88CjiRlRMDGaLcYPxWljGMoULFKR1rXr8sSvjcbiklw/Vy5Rl/5l73wVLPJjkTPn/41HgB621BViG0aUGrfUBoCzwNuAB7LF24QGI01rXTv4HvHanN1BKNQBCtdYXgY0YyY6MZwWbTWweJ3cBSo71e5vHP1kf/0DGRI3ZGvvkO8WWibk2n6313Ytn6iGl1CGMFje/a61TrkKUUq5AfcAJyDJzoJR6Wim1Vym19+e/luXs3TNrXJLujlBcSAynvjzE2e+PEXYwhFJdbXJPGs7+cIyTSw5RuLhL2oSLXWQScDbvYBUuVIRqVVoy493uvDG7EwWcClO3Vuc8ji9zRm+1tO4U9lvTxrFrzyF27zWaOx8+epqGLR6lfbcnWfLVryz+aLq9Qk2Recw5u6216u+dNHtqJEPfeIuXhtin+0GynMb71tR0+/jYaRq2GkD7Hk+x5OvfWPxhdvK//0ImoaX/DAd27aRMhYp8svIP3v7yaz5/9x1iY4y7pG9+/ClzvvyKV96bx9pflnLsn3vTNeVO8ULGfe7r50vPPj35eNEn9yqsNFQmx4yc1OM3n32S6Z9/icV60Xwv5KQujx/zGnWqt+X0qfP06NUxzbqmzRswYFBvZrwx1y5xZhVX+viHPDmMW1FRDOn7KEu//YGKlSvh4ODI9i1bKebhQeVqVe0W3/+THJ9H3nyeXbsOsntP2nGO2rdrxp69h+3W9Qcwmtmlk5PvndYWXlr4CCPmdKRcQHUCfMrlZXRZyCTmLJpy+JWtRaX6ndm15lNjS5MDXv4VOLZrJcsWPkdiYjy1W6a/f2dv2WstfO3YHjbMncDOb96hSvt7HWMuztXTJ7Br972vx9n5vmXjEpoOdRuy5+Qxbsak7d7oXLAQn41/hde++pTouLh/Ga34r5AxVR4sR4F+6RcqpWpitKRYbz3QFMAYYHURgNY6GiPRskwpZQG6YLSyyKkBQGXrALIAbkBf4LMsytfBSL4A/Aa8p5SqCxTWWu+3ec3i1sFeAfyVUhW01rajWH6NkVSxHVflKFAPOJiLz5FdyWOqVAS2W8dUOWBd9wbwDRAMzMWaxEpPa/0J8AnAkff35uhXb2K6limOrgVIjEk7HE5yFx+A6IuRKFMpHAo5Yo5PbbJruW0m5uotXEu7kxCedjyWvBQZFUxR99S7++5uxYm8deMOW6SqUK4R4RFXiYm9CcChY5soU6oW+w+utkeoDB3ci0GPGOMKHzh8An9/n5R2T36+XgQHZx73+NFD8PQoypOvpOYfo6NjUx5v2rKLt94YR7FibkREROVpzMO7d2FwJ2NMjH9OncHfO/Xukb+3F9fDw3P1ujuPHKO0ny8ebkUyDAD6bwwd1DN1Hx86ib/N3Xw/X2+CQ8Iy3W78qCF4erjz5Mj3Upal2cd/7uKtqWPtso+Tefj4EBaS2nIjPCQED6+0d+s2//E7vR8bglIKv5Il8fH35+qFi1SoVg0PbyPP6u7hQcOWrThz7ChV69SxS6y2nnz2CYYOHwLA/r3/UCIgtTelfwl/rl9LO9B1zdo1KFsukH+OGZXf2dmZ/cf2UrdqfbvFOLx7FwZ3zqIee+WsHteqWJ6PJ08EwNPdjbYN62E2m1m9Y9ddtsyZx4c/wqDH+gJw4MBR/Euktv7w9y9O8PWsuypaLBZW/LaG50Y9zo/fGwNTVqlagXfmTmXwoyOIiLBftyWf4j6EXE/9m4cEh+DlnfYegIurK6+++QZg/Hjq07Eb/gH+rF+9lm1b/uTvbdu5nXCbmJgYpk56hamzZ9gt3gfN0CF9GPioMTj1wUPHjfOIlZ+vD8EhWZxHxg7Dw6MokyZnHCOqZ/d2dusykSw8MhhP99Q67OFWnIionHe3jY2/xbHze6ldsRlXQjIOEpqXYiJDcXFPrbsu7l7ERmU8h3j4BtKy9wRWf/EyCXG3UraNiQol9MoJAM4f2UrtFo9m2Nae4iPDKOye2kqisLsn8VERWZYPu3AcF4/iFHAuwu1YOybYgKGP9WbggG4AHDx4Il099iY4OItz9djH8fAsyqRnXs2wrmf3NixfsTGTrXJvWPuuDGpjNHg/cO4U/p6p9cHPw4vrEWnjDLsVhZuLCw4mE2aLBT/PjGV6Nm2R0vUnmaODA5+Pf5llf21m1R77D3yen8z50MXs/5m0VHmwbAIKKqWeSl5gbT0yH5iqtS5j/ecPlFBKlVZKNUtuTaKUKgBUBS7m9I2VUiaMxEHN5PcBepJJFyBlGIMxnssaSEnsbMHojvS9tVwlwEVrXcLmNWeS2qIF67aJGImLcTaL3wZetiY8UEqZrLPy5Dmt9SlrXJOs71UD6Ioxc9AnQGmlVOYjQP4LccExFCxaCCe3AiiTwr2iB7fO30xTxtE5NS9auLgLKDDHJ+FQyBFTAWN8B+WgcC3pxu0I+yVUAC5fPYaXZ0k8ivnj4OBInRodOHoie00/b0Zep3RADZysTXIrlGtIiM0At3nty29+o0P3p+jQ/SnWrvuLfr2NWRfq1q5C1K0YQkIz/rAb8HAXWrVowMix09PcufH2Sm2sVbtmZUwmZZcf+4tXrqLNyPG0GTme1Tt28nBbowFWvcoViYqJISQ86wu09AL9Ui+oa5QvSwFHxzxNqAB8+e1yOvR4mg49nmbthu30s84IcMd93L8LrR5qwMjxb+bLPk5WvkoVrl2+THBQEImJify1YT31H2qRpoxXcV8O7zUGFbwZHkbQxUsUL1GC+Lg44mKMrnbxcXEc3LWLkmXvxZ1c+Oyjz3moYUseatiSP1b+waODjUNp/Yb1iYqMytDFZ93q9VQqXYWalWpTs1JtYmNj7ZpQAWs9HjGeNiPGs/rvnTzczqYex+asHjcY+jT1rf9WbvubSe9/nOcJFYAvFv9I+9YP0771w6xZtYl+Dxs/pOvWq0lU1C1CMknClgksmfK4Q8dWnD19AYASJXz57Iu5jBnxMufO5vhUnCNVqlfj8qXLBF25SmJiIhtWr+Wh1i3TlLkVdYvERCNZv+KXX6ldry4urq6MGD+aFRvX8Ou6P5j+9kzqNawvCZV0vvxqGR27DKNjl2GsWbeNfn2NH3x161Tj1q1oQjJJHA94tBstWzZk1OipGVoAFCniQuPGtVm7bptd4z579Si+nqXwtp6rm9bsyL5snquLOBfDuVARAJwcC1KjXCOC7HiuThZ69STuXiUoUswXk4Mj5Wq24uLxHWnKuLh7037Q62z+eTaRYaldH+OiI4iODMXdKwCAEuXqEBFi3+9eehFXz+Lq5YtzMW+UgwMBNZumDEqbEr+HzU0p/0BMDo52T6gAfPn1r3Ts8gQduzxh1OM+Rqu6unWqcutWDCGhmdTjR7rSskVDRo1+I/N63Kg2a9dvz7Ddv7Fk/R+0mzyadpNHs2bvTh5+qI0RZ/lK3IqNIeRmxnPH30cP061RcwAebtGWtftSzw9FCjvTpEoN1u5L2wVv7tNjOR10mY9X/Zan8Yv/f9JS5QFiHYOkNzBPKfUSEI8xpXIr4Ll0xX/FSE5cAz60zshjAv4AfsnF27cArmqtr9os2wpUVUold9R/Wyk1BXDGmM2ntdbadk7c7zFazCQnTQZY47T1C0Y3oPR9KD7HGIQXAK31Ieu0zN9bp43W1s+WbLxSarDN815a6wvZ+aBZ+AiYqJQKBD4Exmut4wGUUiOAr5RStdN93n9HQ9CflyjToyLKBBHHwkgIj6dYdSM7H3EkFLfyxfCo7mNMwZdk4fIaY7xcRxcnAtoHGq18lSLydDi3Lth3IEeLxcyy3+fw9NCFKJMDu/ctJzjkHE0aGHd4d+z5hSKunox77msKFXRBa81DTQcwZ0F/Ll05wqGjG5kw4lvMliSuXjvJjj057C6VSxu37KRNq0b8tekb4uITmDBpdsq6rz6fyQuT3yE4JIxZ0ydw5ep1VixdBKROndy1c0uGDOyJ2WwmPj6BEWPt3/1nw+59tGtQn92LPyI2IYGx76WOifLdtCmMn7eI4PBwnuzZjVH9euPjUYwtHy5gw559TJi3kG7Nm9K/XWuSkpKIv32bp2e+bdd4N27ZRZuWjfhr4zfExcUz4aXUYYi++nQmL7xi3cfTxnMlKJgVPy8EUqdO7tqpJUMG9sCcZCY+IYER4zLOApOXHBwdeeL5icwYNwaLxULrbt0pWbYs65YZdbJDnz70GzacRW9OY8KggYBm8MiRuBUtSvDVq7z90ouAMftK8w4dqdOkiV3jzcy61etp36k9/xzfR2xsHCOfGpWy7qflPzLm2bEZWq7cayn1eIm1Hr9rU4+nT2H8XJt63N9ajz9awIbdRj3ODxvXb6Ntu4f4e88fxtS5Y6akrPv6+0VMHD+VkOAbzF/4Jq5FXFFKcezoSV6aaNTZ8S88SzGPosycY7RSSDKb6dzubsOT5Y6joyPPvzyJcc+MxGK20K13D8qWL8eyH5cC0OeRflw4d45pL7+GycGBwLKBvDztdbvEklcmTJjA7t27iYiIoEWLFowePZr+/TNtKHpPbdq0gzatm7B964/Ex8UzYeJbKeu++uJtXnhxFsEhYcycMZErV4NZ/qsxw9LqNX8yb8EXAHTq2II/t+4mLs6+N0AsFjNLVs7i5cc/xKRMbN6/nCshZ2nX0GgIvWH3UtxdPXlrxHcUtp6rOzcdxMT5fShWxIvn+k3HZDJhUiZ2HF7H/pP2TQIBaIuFv1YspPOwmZiUiZP71hIRcpEqDY0WFsd3/069No9RyNmNZj3GWLcx8+sHxixzf69cRJuHJ2NycORWxDW2LL3j5JB2if/gisU0G/YyKBMX923hVsgVyjRsB8CF3Rvwr96IUnVaYDGbsSTdZs8P8+5pjGAMpNymdRO2//k98XEJTHhhZsq6r5bM4YVJs631+HlrPTbGfVm9ZivzFnwJQKeOD/Hntj12rccb/tlD29r12TnvM+ISEhj3cWo3ym9fnMqETxcQHBHO9O+X8PHoF3np4cc4cuEc321OnYS0S4Om/HloP7EJqQMEN6xUlf4t2nLs0nk2zDTORzN//JKNB9ImwITIjLL3rA9CCENOu//ktyXBz+R3CDn2w/du+R1CjiVWeLBidjpr/ztneW31rnuToMtLLfzK3r3QfaRAq4fyO4Qcc9xn/zvsee3ItR13L3Qf8XByye8QciygdPP8DiHHmg++P6a8zq42Ov9mz8stbzLOWHc/G/3dtfwOIceSmhTJ7xBy7Pr3f9h/ek076f9y7Qfqd0myn986cF/uc2mpIoQQQgghhBBC/EeY8zuA/zOSVBEZKKVeIePAqz9rrR/YDtVKqY4YY6DYOq+17p0f8QghhBBCCCGEePBJUkVkYE2ePLAJlMxordcCa+9aUAghhBBCCCGEyCZJqgghhBBCCCGEEP8R0v0nb8mUykIIIYQQQgghhBC5IEkVIYQQQgghhBBCiFyQpIoQQgghhBBCCCFELsiYKkIIIYQQQgghxH+EJb8D+D8jLVWEEEIIIYQQQgghckGSKkIIIYQQQgghhBC5IN1/hBBCCCGEEEKI/wizVvkdwv8VaakihBBCCCGEEEIIkQuSVBFCCCGEEEIIIYTIBUmqCCGEEEIIIYQQQuSCjKkihBBCCCGEEEL8R5jzO4D/M9JSRQghhBBCCCGEECIXJKkihBBCCCGEEEIIkQvS/UeIe2Tw+VH5HUKOdHZ+8HKuq3b/mt8h/I+9+46Povj/OP6aSwLpvRESegu9d2mCqBQBQUVUwC5iARHFrogVBRWVr/4EsReUjhSR3kKvodcU0nvP3fz+uCPJJaEk5hKQz/PxyIPc7ezeO8vs3t7czGyZZW7TVR2hTIwNHao6Qpnd3ubWqo5QZn+fO13VEcrEuD2/qiOUWU5w9aqOUGbNAztVdYQyMbh6VnWEMos4u6mqI5TZly/fXNURyqQhjao6Qpm9lBdW1RHK5PlRzlUdocx2EVnVEYQoN2lUEUIIIYQQQgghbhAmrao6wn/K9fdVtBBCCCGEEEIIIcQ1QBpVhBBCCCGEEEIIIcpBhv8IIYQQQgghhBA3CLmlcsWSnipCCCGEEEIIIYQQ5SCNKkIIIYQQQgghhBDlII0qQgghhBBCCCGEEOUgc6oIIYQQQgghhBA3CLmlcsWSnipCCCGEEEIIIYQQ5SCNKkIIIYQQQgghhBDlIMN/hBBCCCGEEEKIG4TcUrliSU8VIYQQQgghhBBCiHKQRhUhhBBCCCGEEEKIcpBGFSGEEEIIIYQQQohykDlVhBBCCCGEEEKIG4TcUrliSU8VIYQQQgghhBBCiHKQRhUhhBBCCCGEEEKIcpDhP0JcQ7o26czkIRMwGAws2LaYuf98X6LM5KET6R7ahezcHF77eSpHIo8WLDMoAz9NmEtsShxPfzMJgHG3Pkqv5j3Q2kRiehKv/TyVuNR4m+Rv1LALA29/DoPBwI5di1i/YZ7Vcj/f2gwf9hpBQU1YtfpLNm7+ofBv73IPHdoPQaHYsXMhm7f+bJOMxe3dtpW5Mz/GZDRx86DBDHlgtNXyzPR0Pn3zdRJiLmA0Ghk0chS9Bw4qWG4yGnnxwTF4+/nx4vSPKyXz/vCt/LRwBiaTiR6dBzPw5gdKlAk/sYufFs7EaMzHzcWTKeO/LMxsMvLGjLF4efgx4eGPbJ73wK4t/Pz1dLTJyE39hnD7iLFWy1f8+R3b1v0FgNFoJDriNDN/+BtXNw8y09P49rOpRJ49gVKKMc+8ToMmLW2eGeCtN56hT+8uZGVlM2HSOxw8eKxEmc8+eY2WLZqQl5/P3n3hvDjlA/LzjTz+2EiG3nELAHb2djRsUJtWbQaSnJJmk6z7tm/l+08/wmQy0WvAHQy+r2Q9/uLt1wrq8YB77qPn7YNIiInhy3feICUhAWVQ9Bk0lFtH3GOTjMXtP7KNHxbPxGQy0rPjIAb1KaUen9zNj4s+wWjKx9XFg5ef+ILcvBze+XIcefl5mExGOrTozbD+D1dK5oN7t/DLd9MxmYzc1HsIt91hXZdXLvmObZvNddlkNBIdeZoZX/1NTk4Wc754jZTkBJQy0OPmofS97d5KyTz13Sn06XuTuR6Pf5kD+8NLlPnok7do2boZSilOnTzDs+NfJjMji/639eb5KU+hTSbyjUZef+k9wrbvsXnm6+nYu5IpU6awbt06fHx8WLp0aZVkKC6kYQe6D3gSZTAQvnM5ezb8YrW8YaubadPDfB7Iy8liw+KZJFw4BcCoST+Sl5OJ1iZMJiN/fDGuUjJ7N2xKw4HDwWAgesdmzm1YbbXcN7QldfsORGuNNhk5sewPUs6eLCygFO2ffIGc1GQOfDfbJhk7N+7Cs4Ofw85gYHHYIr5fO69EmQl3PEfXJt3Izstm6q9vcsxyDefq6MqUEa9QP7A+Wmum/T6Vg2cP8Gj/x7mpWQ9MWpOUnsjbv75JvI2u4Wo37EjPAU+hDAYO7VzGzg0/WS1v3Kov7XuYz1u5OVmsXfwx8RcK97FSBu4Z9xUZqXEs/n6KTTIW16JhV+4bMBmDwcD6nQtYumGu1fIavnV45M43qR0UyvzVs/hr03cFyz6atJzsnAxM2oTJlM/rX4yqlMziv0kaVW5wSikjcABzXQgHRgP+wFKtdfMi5d4A0rXW05VS3wI9gRRAARO11mss5ToC04EAQAObgKeBu4D2WuvxRba5Dpiktd5pedwG2A3cqrVeWaTcy8C9mG+pbgIe01pvt6xfA8iyFD2htR6ulGoM/A/wBKoDG7XWj5byt/cH3rc8bABEWra1H5gDLAJOAU6W/THJst5EoJnW+iHL41HAvVrrAVfc4ZdhUAamDJvE47OfJiYllh8nzGX9oY2cijlTUKZ7aBdq+YYw+J0RtKjdjJeHT+b+Tx4qWH5vj7s5HXsGl+ouBc/NW/sDX6z4CoCRN93Fo7c8yLT5H/ybqKVSysDgQZP5Zu54UlNjePLxeYSHbyA27nRBmcysVJYs+4imoT2t1g3wr0+H9kP4YvZojMZ8xo7+lCPHNpGQcL7CcxZlMhr5ZvqHvPLJZ/j4+zPloTG0v+kmguvWKyiz4o/5BNepy4sffkRqUhLP3HMXN/W/FXsHBwCW//YrNevUISsjw6ZZCzKbjHz/53Sef/xTvD38eXPGWNo0u4magXULymRkpfH9Hx/y3KMz8fEKJDUt0Wobqzb8SpB/HbJybJ/ZZDTy4+z3eG7qF3j5BDB14v207tSToFqF+/jWYQ9w6zDzB+q9YRtYvehHXN08APj56w9p3rYL46Z8QH5eHrk52TbPDNCnd2fq1g2he897aNumGe++PYlBQ0qcRliwcBVPPfMWALM+fYOR9wzi+x8WMvt/PzP7f+aGwb43d+ORh++y2Yc6k9HItzM+YMrHs/D28+fVR0fTtvtNBNcp3MerF/xOzdp1mfTex6QmJzFp1Ai69bsVg50do8Y9Q93GTcjKzOCVhx+geYeOVuvaJLPJyHcLpjP50U/w9vDn9U8fom2zm6gZYF2P5/05nUkPf4yvVyCp6eZ67GBfjRcf+wzH6s7kG/N5+/PHadmkMw1qN7/Uy1VY5p/mvseEl8x1edrL99OqXU+Cggv3Vf9BD9B/kLku79u1gdXLf8TF1YO8vFxG3DeB2nVDyc7KYOpL99G0RWerdW2hT9+bqFuvFt063E7b9i15d/qrDLylZGPO66+8T3qa+Xzw+tTnefDhe5n1yTds3LCNlX+tBSC0aSP+N2c6PToPtm3m6+jYuxrDhg3jvvvu44UXXqiyDEUpZeCmQU+zZO5kMlLjuPOJLzgTvpWkuLMFZVKToln49QRys9Op1agjPYdM5M/ZBZdvLP7mObIzUyszNI0G38XeOZ+Rk5pM+3GTiT9ygMzYCwVFkk4eJT58PwAugUE0G/kQYTOmFiwP6dqbzLgL2FV3tElEgzLw3NDJPPPVeGJTYpjz9Dw2HtrAmdjCa6AuTboS4luLEe8Po1mt5kwe9iIPf2ZumJ1wx3NsO7qVl79/EXs7exwdzDl/WPc9X600NwKN6HY3D/Z9mA/+fK/C8ytloNegZ1kw9znSU+O454n/cSp8M4nF6sX8r58mJzud2o06cfOQSfw6+4mC5a27Dicp7izVqjtXeL5LZX5g0BQ+mPs4iakxvPnEj+wOX09U3KmCMulZKXy/9APaNe1d6jbe/eYR0jOTKyXvtUbmVKlYMvxHZGmtW1saUHKBx69yvee11q2BZ4HZAEqpAOB34AWtdWMgFFgBuF3lNkdiboQZefEJpVQXYCDQVmvdEugLFP2kPcqSv7XWerjluU+BGZbnQoHPSnsxrfXKi+sCO4ts6+LXpRu11m2ANsBApVS3Ittvp5TqppTyBN4GnrrKv/GSmtdqyvn4CCITo8g35rNyz2p6Ne9hVaZX8x4s3bkcgANnD+Hm5Iqvmw8A/h5+3BTalT+3LbZaJyMns+B3p2qOaP1vk5YuJLgZCQnnSUqKxGjMZ9+B1YQWazzJyEgiIvIwRlO+1fN+fnU4f/4AeXk5mExGTp/eTbPQXrYJWsSJw4cJDA4moGZN7B0c6Nq3Hzs2brAqoxRkZ2aitSY7KwtXd3cMdnYAJMTGsHvLZm4edIfNs1506txhAnyD8fepib29A53a9GPPQevM23avpF2LXvh4BQLg7uZdsCwxOZZ94Vts/sGoIO/xQ/jXCMEvMBh7Bwc69riFPdvXXbJ82PoVdOzRH4CszHSOHdzDTbcMAcDewQFn16s9nfw7t/S7ifl/rABg955DuLu74u/vU6LcP2u3Ffy+d99hatTwL1FmyB19WbTob5tlPRl+iICawfgHmetx55tvYdcm6zqBUmRnWepxZmZBPfby9aVu4yYAODm7EFS7LklxcTbLWpD53GH8i9Tjzq37svvQRqsyW/eson2LnvherMeu3pY/ReFouWg3GvMxmvJRyvYXh6dPHMIvMAS/gGDs7R3o0OUW9u5cd8nyYVtW0LGruS57evlRu24oAI5OLtSoWZfkxFibZ+5/W2/m/2p+T9i9cz8eHm74B/iWKHexQcWczxFteaPIzMgqeN7Z2clm7x9FXU/H3tXo0KEDHh4eVZqhKP/gJqQkRpKWFI3JmM+J/WupE9rVqkzMucPkZqcDcOHcYVw8/KoiagH34DpkJcSRnZSANhqJ2b8L31DrHovG3JyC3+0cqpu/1rOo7u6JT5PmRO3YYrOMTWs1IyL+PFGJkeQb8/l772p6NLO+BurRrCd/7VoGwKFzB3F1dMPHzQfn6i60rteGJWGLAMg35pNu2f+ZRb78cKrmhMY2B2FAcCgpiZGkWurFsf3/UC+0u1WZ6HOHyCmoF4dwLVIvXN39qNu4Mwd3Vl5vrPrBzYlNPE+c5bpz2/6VtC127ZiWkcTpyEMYjfmlb0SICiKNKqKojZh7bJTFVqCm5fcngXla660A2my+1jrmShtR5ivi4cAY4Bal1MWvEmoA8VrrHMs247XWUVfYXA0g4uIDrfWBMvw9JWits4C9WP5OrXU+MA74HPgAmKO1PnXJDVwlfw8/LiQXXmTHJMfiX+xCxt/90mWeHzKBmUtnFVwMFzX+tsdZ8eoibm/bny8tvVYqmru7Hykphf/VqakxeLhf3YVYTOxJ6tZpg7OTBw4O1WncqCseHgE2yVlUYlwsPgGFr+Pj509isQ+Ut945gsizp3ls8ACeu/9exj5rHp4F8O3MGdz35HiUofJa+5NS4vD2LPzw4OXpT1KKdeYLsefJyErj3c+f4PWPR7N5x/KCZT8tnMHdA8dXyodQgOSEWLx9C/exl08AyQmlf2jPyc7iwO6ttOt6MwBxFyJx8/Bizsw3eOOZe/n207fIyc4qdd2KFhjoS1RU4bEWfSGWwFI+jF5kb2/HncP6s27dNqvnHR2r06tnJ5b/tc5WUUmMj8PHv3Afe/v5l2gYuWXYCCLPnmH80Nt5cey93P/0xIJ6fFFcdBRnjx+lftNmNst6UVJqHD6eRTJ7+JWsx3HnychM450vn+S1mWPZtPOvgmUmk5FXPh7N+DcH0LxhB+rXsn3m5KRYvH2K1eWkS9TlnCwO7ttKu043l1gWHxfF+TNHqNvAtj1rAAJrBBAVWfhtflRUDIE1Sj+3zvhsKvvC19OgQV3mfF3Y7f/WATezYdtivvvlCyY+9artM19Hx971yMXdl4wix1pGahwuHpfev6Htb+P8sbDCJ7Rm4NgPGD7uS0I7/KsOuletuocn2SlJBY9zUpKp7u5Zopxv01Z0nPAqLUc/wZE/CocXNxg4nBN/LcCWrYJ+7n7EJhdeA8WmxOBX7BrOz92PmCJl4lJi8fPwp6ZPTZLTk3nl7teZ9+wPTBn+ckFPFYDHbn2ChS8v5Za2t/L1yv/ZJL+ruy9pKYXHXXpqHK6XqRfN2g/gzLHtBY97DBjPphWzS70GtRUvd38SUgrPb4mpMXh5lGxcvSStmTz2S94c9xO9Otxpg4TiRiKNKgIApZQ9cBvmoUBlcSuw0PJ7c2DXZcrerZTae/EHaF9kWTfgtNb6JLAOuN3y/CogRCl1TCn1hVLKutkffiyyzQ8tz80A/lFK/aWUmmDpTVJuSikvoCFQ8NWv1noL5uFSfTE3rPxrpX3ILf7eVGoZNDc17UZSehLhEUdLLAeY9ddsbp16B8t3r+Se7sNLLfPvlZb/6t5c4+LOsH7jdzw4dhZjR39K9IXjmEzGig5YQmnpiu/jfdu3UbthI/63eBkfzvuebz6eTmZGOrs2b8LDy5t6TUJtnrOoUvdpsV1vMhk5c/4IEx/+mEmPfsLi1XO4EHuOvYc24e7qRZ2QJpUTlkvlLb1BZ9+OjTQMbVUw9MdkNHL25BF63z6cNz75iWqOTiyfP7fUdSva1RyPRb3z9nNs376PsB37rZ7v17cbO3YesO3wg1KCFY+/P2wbtRs0ZNaC5bzzzQ/Mm/EhmRnpBcuzMzOZ+eqL3P/URJxdXG2X9aLSDz6rhyaTkTORR3nuoek8/8gMFq2ZS3TcOQAMBjvenjiPma8s5NT5cCKKjOu3WeRSK0DpdXn/7o00aNwKF1frHgrZ2Zl8OeN57n5gEk7Ott/Ppdfj0ivyhKdepU2z3hw/forBQ28teH7FsjX06DyYB+9/mskvjS913Yp0XR1716PSquwldnBQ3daEtruNrSu+LnhuwVfPMP/zx1k2bwrNO91BjTotbBT0Skpmjj+8j7AZUznww1fU7TcQAJ/GzclLTyM9yrbDia/qWLtEGTuDHY1qNubPLfMZPfM+snKzeaDPmIIy/1vxJUOmDWTV7hUM73ZXRUe/TLbSiwbXbUOzdgPYvMLcwFO3cReyMpKJjSo595FNlXYtUYZGnalfjeG1z0cyfd6T9O10F43rtK3AcNc+I+q6/LlWSaOKcLI0cOwEzgHfUPrlLsWe/1ApdQr4AXjnKl/r1yJDdVpbXvOikcDFmdJ+sTxGa50OtAMeBeKAX5VSY4qsV3T4z/OWdeZiHnr0O9AL2KaUqn6VGYu6SSm1H7iAeU6VguZwpZQr5kYhB+CS3TGUUo8qpXYqpXYm7L98V++Y5FgCi/RACPD0Jy7V+lvQmJRSyqTE07puS3o2u4nlryzgvfun0qFhe6aNeqPEa/y1exU3tyx9XOm/lZoaa9W7xN09gNS0q59Mbeeuxcz64n6++r/HyMxKtfl8KmDumZIQU/itUUJcLF6+1t/MrF22lE49e6GUIjA4BP8aQUSdPcvR/fvYuWkDTw4bwszXXuHgrp18+sbrNs/s7elPYpHeSknJsXgV6xHk5elPiyadqV7dCTdXTxrVa8O5qOMcP72fPYc28tzUIXz5/auEH9/J/36wbWYv3wAS4wv3cVJCDJ7epX/7FbZhZcHQH/O6/nj5+lOvsfmivX23vpw9ecRmWUc/MIyVy+eycvlcYmLiCQoqPNZqBPoTE1t6fZ7wzFi8vT15c2rJkYZ3DOrLosW2HX7g7edPQmzhPk6Mi8XT17pObFi+lA49ehfUY78aQUSfNY+Vz8/PZ+arL9CtX3869LTN+aE4Lw8/Eop8Y5uYEoeXu2+JMi0ad6J6NSfcXDxpXLc156NOWJVxcXKjSb027D+yHVvz8g4gMaFYXfa6RF3esrJg6M9F+fl5fDnjeTp1u422HfvYLOeYh+5h9br5rF43n5gLsQTVDCxYFhQUQMyFS78XmUwmFi9Ywe0D+5VYtn3rLmrXCcHb27PCM1+vx971KCMl3mo4j4u7HxmpCSXKeQfUo9fQ5/jrh9fIySqcPyUzzVw2KyOZ04c34R9s+0b6nJRkHD28Ch5X9/AkJzXlkuVTzpzAydsXB2cXPGrXwye0BZ2ff4um9zyIV73GhI4Yfcl1yys2JRb/Ir3v/D0CSkwoG5cSS0CRMn4e/sSnxhGbEktcSiyHzx8CYO2BNTSq2bjEa6zas4JeLWxz7khPicOtSC8PV3c/MkqZENc3oB43D32eJT+8RLalXtSo3Zy6TboydtIv3Hb3awTXa0v/ES/bJGdRSSkx+HgUnt+83QNISr364avJaeayaRlJ7Dq8lnrBtu89KP67pFFFZBVplHhKa50LJABexcp5A0XPrs9jHir0CnBxevNDmBtAykQpZQfcCbymlDqDeQ6U25RSbgBaa6PWep3W+nVgvKXsZWmto7TWc7TWdwD5mHvRlNVGyzwuLYAnlFKtiyx7E3OD0jTMPWMuleMrrXV7rXV7n5aX75J46Hw4tfxCCPKugb2dPf3b9GP9Qes5BtYf3MjA9uZOPC1qNyM9O534tAQ+W/Yl/d8azO1vD+XF719lx/GdvPzjGwDU8g0pWL9ns5s4HXsWW4iIPIyvTy28vIKws7OnVYt+hB/ZcOUVLVxczFXOwyOAZk17s3f/yius8e/VDw0lOuI8sVFR5OflseXv1bTvbj2PjW9gIAd2mtv/khMTiDp3Dv+gmtz7xJPMXrSUz/9cyLNvvU3zdu15+o03bZ65bkgoMXHniUuIIj8/j+17VtOm+U1WZdo2v4ljp/dhNOaTk5vNqXOHCAqow4iB45jx+hI+enUhT9w/ldCG7XnsPttmrtuwKTFR54m7EEl+Xh5hG1bRumPxDmeQmZHG0YO7adO5V8FzHl6+ePsGcCHiDADh+8IICrHdxJ7zvvuT/rePpf/tY1mxaiPD7zR/W9+2TTPS0tKJjS35wWPkPQPp2bMj4596o8S3km5uLnTu3JqVqzaWWK8i1WvSlAsR54mNMu/jbWtW0a6bdZ3wCQjg0K4dAKQkJhB93lyPtdZ8/f5Uatauy+13V96dD+qFhBITH0Fcorkeb9v7N22aWo/fb9ush1U9PnnuEEEBtUlNTyIjy9z7IDcvh0MndlLDv7bNM9ep35TYC+eJi40kPz+PHVtX0apdKXU5M41j4btp3a5XwXNaa+Z9NZUaQXW5ZcB9Ns357Te/0K/XcPr1Gs6K5f8w/G7z/Elt27ckNTWd2JiSH5Tq1C18n7ilfy9OHj9d4vkWLUNxqOZAYmJyhWe+Xo+961Fs5BE8fWri5hWIwc6eBi17c+aI9Vwjrh7+3DrqDdbMf5eUhILR1Ng7OOJQzang95AG7UksMpm+raRFnsXJ1x9HLx+UnR0BLdsRH27dsdrJu8j8HkEhGOzsycvM4NSqxWx9/xW2ffgah3+ZQ9Kpo4T/XvKuPP9W+PnDhPjWooZXEPZ29vRt3Y+Nh62vgTYe2sBt7cxDpprVak5GdjoJaQkkpiUQkxxDLT/zeax9gw6ciTEfg8FFruG6N+vB2dgzFZ4dICbyCJ4+wbhb6kWjln04dWSzVRk3D38GjJrKqvnTSC5SL7as+po5H4xg7vR7+OvXt4g4tZuVv0+zSc6iTkUeIsCnFr6W687OLfuz58j6q1q3moMjjtWcC35v3qALETEnrrCWEJcmd/8RJWit05VS0Uqpm7XWa5RS3piH+XxSrJxJKfUJMNpyJ51ZQJhSapnWejuAUuo+4EpfFfUF9mmtC77WU0rNA4YopcIAk9b6uGVRa+CyrQJKqVuBNVrrPKVUIOCD+c4+5aK1PqaUehd4ARiplGoBDLBkyQUeVEr101qvvsxmrshoMvLen9P58tFPMBgMLApbysmY0wzvMhSA+VsXsDF8C91Du7Lkpflk52Xz+s9vX3G7Tw8cRx2/Wpi0JjrpAtPmv3/FdcrDZDKyeOkHPDj6U5TBjp27FhMbe4qOHYYBELbjT1xdfRj/xDyqV3dBa023rvcw49O7ycnJYNTI93F29sBkzGfxkg/IzrZ9l207e3senDiJaROexmQ00XvgIELq1WPVgj8BuGXoMO4c8yBfvP0Wz913L2jNqHFP4u7pafNsl8xsZ899wyYx/atnMJlM3NRxIDUD6/HPFnPmPl2HERRQlxaNO/Pq9PvMt2/tNJjgGvWrLO+oxycz4/XxmExGuve9g5q167Pur/kA9LrNPBxt99a1NGvTmeqOTlbr3/vYZL766BWM+Xn4BtTkwWffqJTc//yzlT69u7Bpw69kZ2UzcVJhh7zvvv2Q5ye/R0xsAu9Om0REZAyLFpi7Qf+1Yj0zP/0WgFv792D9hjCysmx7xyI7e3vGPPs87096GpPJRM/bBxFctz5/L/oDgL533MnQ0Q8x+523eGH0SEBzz+PjcfP05Oj+vWxa+Rch9Row5UFzo8rdj4yjdZdul3nFCshsZ88DQybywdcT0CYjPToOJDiwHv9sXQBAny5DqRlQhxaNO/Pyxw+glKJnp8EEB9bnXNQJvvp1KtpkwqRNdGp1M22a2jbvxcz3jpnMzHfHo01GuvW6g5oh9Vm32lKX+5nr8p4da2nW0rounzi6l20bl1EzpAFvvmiei33Y3U/Sok33ki9Ugdas3sDN/W5iy86/yMrKYkKROVG+/+ULJj37OrEx8Xzy+Tu4urmglOLwwaO8+Lz5rikDBvVj+N2Dyc/LJys7mycemmTTvHB9HXtXY+LEiYSFhZGUlESPHj146qmnGDFiRJXl0SYTG5d8xsAx76OUgSO7/yIp9ixNO5qHyxwOW0r7Pvfj6OxOj8HPABTcOtnJ1YtbR5kb4g0GO47vX8P54zsqJfOxxb/RauyTKGUgetdWMmOjCepoPn6iwjbh17w1gW06YTIaMeXncuiXOTbPVZTRZOSjhR8w85FPMRjsWBq2mNMxpxja2XwNtGDbn2w5spmuod34/cUF5ORm8/ZvbxWs//Gi6bwx8i0c7B2ITIhkmmXZuNvHU8uvNlqbuJB0gQ/+eNcm+bXJyLolMxkyZjpKGTi8ezmJsWdo0dHcKHsgbDEd+4zG0dmD3oMnAOZ68csXj9kkz9UwmYx8t+Q9Jo/5EqUMbNi9iMjYk/TuaD4Xrw2bj4erD2+O+wmn6i6YtKZ/11G8+Mkw3Jw9eWbUxwAYDPZs3f8XB47bbiJj8d+nKnNCIXHtUUqla61LDOxWSjXFPBHrxR4rH2qtf7Qs+xbzcJj5lsd3AuO01jdb7tbzAebbMpswz0MygcvcUhlz75NtWuvZRZYNBp7A3BPmM8y3R84HTgCPaq3jS7mlcrzWuq9S6mPMjR4Xr6Y+1FoXzlhW+n5Yh/XtnXtZHg+0PHayvHZ34Htgmtb6L8uy9sB3QGtLT59StZ7Y+bo62G5ztv2cJhXtngn/ql2rSmRuu66qBcaGDlUdoczu6XfrlQtdYxaGLavqCGVi3H793VkhJ7g8o0Kr1j39Old1hDIxuHpWdYQyizi7qaojlNmXL5ecEPla1kRX3rxeFeWlvLArF7qG3FOtcm5rXJF2cekhXdeq76btvXYn+biC9pM6Xl8XoBY7p4ddk/tceqrc4EprULE8fxgodXC91npMscd/AH9Yft8K3FTKat9afoqu18vy6xiK0VovBi7eG7hr8eXF1i/+/ERgYmnLLqX4trTW6zBPmHvxcRaFdznqXqzsTqBpWV5PCCGEEEIIIcT1T+ZUEUIIIYQQQgghhCgH6akibgiWOV+KTyZyWms9tCryCCGEEEIIIYS4/kmjirghaK1XAra/nYwQQgghhBBCXMNM+pqcmuS6JcN/hBBCCCGEEEIIIcpBGlWEEEIIIYQQQgghykGG/wghhBBCCCGEEDcIGf5TsaSnihBCCCGEEEIIIUQ5SKOKEEIIIYQQQgghRDlIo4oQQgghhBBCCCFEOcicKkIIIYQQQgghxA1C5lSpWNJTRQghhBBCCCGEEKIcpFFFCCGEEEIIIYQQohxk+I8QQgghhBBCCHGDkOE/FUt6qgghhBBCCCGEEEKUgzSqCCGEEEIIIYQQQpSDNKoIIYQQQgghhBBClIPMqSKEEEIIIYQQQtwgtMypUqGU1rqqMwhxQzg07bfr6mB7Nu29qo5QZi8ZulR1hDKzU9WqOkKZrGFLVUcos1ras6ojlNlCYqo6QpmMoWFVRyiz9/POVnWEMvO1z6vqCGXibriu3vYA6IlPVUcosyemranqCGVy6J0/qjpCmS3PmFHVEcrkx6z8qo5QZp2ccqo6Qpn9b9qe67Zlotkz3a6/EzRw6JPN1+Q+l+E/QgghhBBCCCGEEOUgjSpCCCGEEEIIIYQQ5SBzqgghhBBCCCGEEDcIk8ypUqGkp4oQQgghhBBCCCFEOUijihBCCCGEEEIIIUQ5yPAfIYQQQgghhBDiBiHDfyqW9FQRQgghhBBCCCGEKAdpVBFCCCGEEEIIIYQoB2lUEUIIIYQQQgghhCgHmVNFCCGEEEIIIYS4QWiZU6VCSU8VIYQQQgghhBBCiHKQRhUhhBBCCCGEEEJc95RStyqljiqlTiilXixluVJKfWpZvl8p1fbfvqYM/xFCCCGEEEIIIW4Q/9VbKiul7IDPgX5ABLBDKbVYa324SLHbgIaWn07Al5Z/y016qgghhBBCCCGEEOJ61xE4obU+pbXOBX4B7ihW5g7gO222DfBUStX4Ny8qjSpCCCGEEEIIIYS43tUEzhd5HGF5rqxlykQaVYQQQgghhBBCCHFNU0o9qpTaWeTn0eJFSllNl6NMmcicKkIIIYQQQgghxA3ier2lstb6K+CryxSJAEKKPA4GospRpkykUUVUCKVUIDAT6ADkAGeAZ4F9wFGgGrATeEhrnaeU6gUsAk4X2cwkrfXfSikjcABwAPKBecBMrbXJst4k4A/gGct6TS2vYQRWaK1Lm+V5DNBeaz2+2PNnLM/HK6U08IPW+n7LMnsgGtiutR54cRuW50ZYNtHCkhVgjtb606vbY1fHtV4ggbe0BqVI3nua+K1HSi3nWMOLemNuJmLBNlKPRABgqO5A0ID2OPp5ABC5dAdZkQkVGQ+A9o26Mm7QJAzKjr92LODX9d+WKDNu0PN0bNydnLxsPvz9dU5Emf+Ood1GcluHoSilWB62gAWbfwJgdL8n6Nq0F1qbSE5P5MPfXychLb7CswN4N2xKw4HDwWAgesdmzm1YbbXcN7QldfsORGuNNhk5sewPUs6eLCygFO2ffIGc1GQOfDfbJhmL82rYhPoDhqIMigs7t3N+wxqr5T6hzand9zbQGm0ycXLZAlLPmg+1jpNexZiTbfl7TOz54mOb523QsDO3DZiIMhjYvXMxmzZ8Z7W8Rav+dO9xPwC5OVksXfwBMReOA3DHsFdo1LgbGRlJfPHpvTbPelHNhu3pPPBxDAY7ju74i/0bfrNaXr9Vb1r2uAuAvNxstiz6jMQLpwCo5uhC92ET8AqoA1qz8Y+PiT0fbtO8bRt25ZGBkzEYDKzesYD5G+ZaLQ/2q8Mzd75J/aBQvl81iwWbCv8Pnh72Bh2a9CAlI5Hxnwy3ac5LCWjYmlYDx6IMBk7vWMOxDQutltcIbU+zvvcUHIf7ln1LwtnSz4cVrXPjzjw3+DkMBgOLwhbx3drvSpR57o7n6NqkK9l52bz161scjTwKwMIpC8nMycSkTRiNRkZ/OhqAhkENeXHYi1R3qI7RaOT9Be9z+PzhEtutaO0adeWxgc9jMBhYuWMhv68vWU8mDH+TBkFNmLdqFn9u/N7mmYpr1bAroweY6/I/OxewuFhdDvKtw+N3vkndoFB+XT2LpZa67GBfjdcfmYODnQMGgz3bD/3N/DVfVkrmkIYd6D7gSZTBQPjO5ezZ8IvV8oatbqZNj3sAyMvJYsPimSRYzhejJv1IXk4mWpswmYz88cW4Ssl8OVOmTGHdunX4+PiwdOnSqo4DgGu9AAL7tTJfD+07TfzWY6WWc6zhRb3RvYlYuJ3UI5HAxeuhtubrIa2JXLaLrMhEm2eu07ATNw94BmUwsH/nUsI2/GC1PLRVPzr1GAWY3/tWL/6IuAsnsLOvxshHZmFnVw2DwY5jh9ayec0cm+ft2qQzk4dMwGAwsGDbYub+U/L4nzx0It1Du5Cdm8NrP0/liOVcB2BQBn6aMJfYlDie/maSzfMCNGvYlbsGmM9pm3YuZGWx80WAbx3G3PkmIUFNWLR6Fqs3Ff5NTo6u3D/0dWoG1EdrzXd/vsmp8/srJbewqR1AQ6VUXSASuAcofgG5GBivlPoF8wS1KVrr6H/zotKoIv41pZQCFgDztNb3WJ5rDQQAJ7XWrS0zMa8G7gJ+tKy6UWs9sJRNZmmtW1u24w/8BHgAr18soLWeC8y1lDkD9NZa/9tP3RlAc6WUk9Y6C/Os0ZHFC2mtpwHTLK+dfjFrhVOKGre25cxP68lPzaLeg31JOx5FTnxqiXIBfVqSfirG6ukat7Qh/dQFIv7cijIYUA52FR7RoAw8dccLvPDNOOJTYpg1/ge2hq/nXGxhW1nHxt2o6VuLMdPvIDSkBU8PmcLTX4ymTkB9buswlKc+f4A8Yx7vjp1F2JGNRCac5/cN3zFvtflieEjXe7jv5kf5ZOE7FZ4fpWg0+C72zvmMnNRk2o+bTPyRA2TGXigoknTyKPHh5jdZl8Agmo18iLAZUwuWh3TtTWbcBeyqO1Z8vktkbjDoTg7MnU1OajJtnphAQvhBMuMK//+TTh4jIfygOXNADUJHjmbnzPcKlu/75gvyMzMqKa6BAYOe57u5T5GaGsujT3zL0fCNxMUV1pHkpCjmfv0E2dlpNGjUhcFDXuTr2Q8BsHf3UsK2/c7Q4a9f6iVskrnr4CdZMWcKGanxDB73GeeObCM59lxBmbSkGJZ9/Ty52ekEN2pPt6HPsORLcztv54FPEHFsJ//89DYGO3vsHarbNK9BGXh88BRenfM4CakxfDzuR7YfWc/52FOFeTNT+GrJB3Ru2rvE+mt2L2bZtl+YMOJtm+a8JGWg9eCH2DRnKpmpifQZ9y7RR3aSFhtRUCT25EGiw80X6e6Bteg8ciKrZjxr82gGZWDy0MmM/2o8sSmxzHt6HhsPbeR0kXNc1yZdCfEN4c7376R5rea8MOwFHvzswYLlT8x+gpTMFKvtPjXgKf5v9f+x9ehWujbpylMDnuKJ2U/Y/G8ZN/hFXv7mCeJTY5j55I9sCy9ZT2YveZ8updSTyqCUgQcHTWHaXHNdfueJH9kVvp7IuMKM6VkpfLv0AzoUy5iXn8vUbx4hJzcLO4M9bz46l73HNnHi/IHiL1PhmW8a9DRL5k4mIzWOO5/4gjPhW0mKO1tQJjUpmoVfTyA3O51ajTrSc8hE/pxd+B3P4m+eIzsztbTNV4lhw4Zx33338cILL1R1FDMFNfq35szPm8hPzaTe2D6kHY8mJz6tRLmA3s1LXg/1a0X6yRgi/tyOMiiUg+0//ihloN+gifw2dwJpqbHc/8T/cTJ8EwlxZwrKpCRF8/PXT5GTnUbdRp25Zchkfpz9KMb8XH795hnycrMwGOwY+eiXnDq2nejzh2yW16AMTBk2icdnP01MSiw/TpjL+kMbORVTmLd7aBdq+YYw+J0RtKjdjJeHT+b+Tx4qWH5vj7s5HXsGl+ouNstZlFIGRg56kZlznyApNYYpT/zI/vD1RBc5X2RmpfDL0vdpXco57e4Bkzl0fAtf/fw8dnb2VHOopOs4YVNa63yl1HhgJWCH+UvvQ0qpxy3LZwPLgduBE0AmMPbfvq7MqSIqQm8gz1JJAdBa76XIBEBaayMQRhknAdJaxwKPYm5NrIx+an8BAyy/jwR+roTXLJVTkDe5ienkJWegTSZSDp/DrVFQiXLe7RuQdiSS/IzsgucM1exxruVL8l7zhb82mTDl5FV4xsYhzYlKiOBCYiT5xnzW7VtJ16a9rMp0adqLv3ebv+kKP38AVyc3vN18qeVflyPnD5CTl43JZGT/6V10a9YHgMycwg/8jtWc0P9umOMluQfXISshjuykBLTRSMz+XfiGtrQqY8zNKfjdzqG61YjL6u6e+DRpTtSOLTbJVxq34FpkJcYXZI7bvwef0OZWZUy5uQW/G6pV+5ejRP+dmsFNSUyMICkpCqMxn4P7V9MktIdVmfPnDpCdbb44jjh3EHcP/4JlZ8/sJauSP2z4BTcmNSGKtKQLmIz5nNq/jlqhXazKxJ47TG52uuX3I7i4+wLgUN2ZwDotOLZzBQAmYz652bZtwGoY3JzohPPEJJmPww37V9IptJdVmZSMJI5HHiLflF9i/UNndpNWhR/ovIMbkJFwgYykWLQxn4j9mwkKbW9VxphbeH6zd3BE68qp1M1qNSMiPoKoxCjyjfms2ruKHs2s62+PZj1Yvms5AAfPHcTN0Q0fN5/Lb1iDi6P5g4eroyvxqbbpiVdUo5DmRCWc58LFerJvJV1KqycRhzEaS9aTytAguDkXEs8TmxSJ0ZjPlv0raV8sY2pGEqciD5WaMSc3CwA7O3vs7OyhEuqJf3ATUhIjSUuKxmTM58T+tdQJ7WpVJqbI+eLCucO4ePjZPNe/0aFDBzw8PKo6RgGnIG9ykzIs10OalMMRuDW8xPXQ0UjyM0u5Htp3BgBt0ja5HiquRnAoSYkRpCRFYTLmc2T/3zQI7W5VJurcQXIs731R5w7hVqRe5FnqssHOHjs7O5vX5ea1mnI+PoJIy7lu5Z7V9Gpufa7r1bwHS3eaz3UHzh7CzckVX8u5zt/Dj5tCu/LntsU2zVlU3eDmxCaeJ95yvti5fyWtip0v0jKSOBtZ8pzmWN2FhnXasnnnAgCMxnyyLMeouP5prZdrrRtpretbvgxHaz374mdVy11/nrQsb6G13vlvX1N6qoiK0BzYdbkCSilHzN2rniny9E1Kqb1FHt+ptT5JMVrrU0opA+BffJkN/AK8ppRaCrQE5gA3VcLrluDg5kReWmbB47zULJxqeluVsXdzwr1xTc78uJ6gAYUfQqp5uZKfmUPQwA44BniSfSGJ6FV70HnGCs3o6+5HXEphr474lFiahDQvVsaf2OQYqzK+7n6cuXCSsbc8iZuzB7l5OXRs3J1jkYXd38fe8iR92w4gIzud578uPgdVxaju4Ul2SlLB45yUZNxD6pQo59u0FfX6D6aaixv75xV2J28wcDgn/lqAfWX1UsHckJOTklzwOCc1BbeQWiXK+TRtQd1bBuDg4srB774uXKA1LcY+DloTvWMrF3ZstWled3d/UlIK//9TUmMJDml2yfJt2w/m+DHbZroSZw8fMlLiCh5npsTjF9LkkuUbtb+ViGM7AHDzDiQ7I4Wb7nwOnxr1iI88zralX5Kfl3PJ9f8tHw9/4oschwkpMTQKaWGz16toTh7eZKYUDk3MSknEO6RhiXJBTTvSvP+9VHfxYPO8dyslm5+7HzFFzl+xKbE0q2Vdf/3d/UuU8ffwJyHN/Dd99shnaDQLti1g4faFAHy8+GM+ffhTnhn4DEopHp71sM3/Fh93f+KLHIvxqTE0Lna+rmre7v4kFKnLiakxNChDXVbKwLtP/kygdwirtv/KiYiDtohpxcXd1+p8kZEah39I6CXLh7a/jfPHwgqf0JqBYz8ArTm0YynhO5bZMu51ycHNibzUItdDaVk4BRW7HnJ1xL1xEGd+3EDQgHYFz1fzdLFcD7XD0d9yPbR6X4VfDxXn6u5HWkpsweO01DhqhDS9ZPmW7Qdy+ti2gsdKGXjgyW/w9K7Jnu0LiI6w7fBAfw8/LiQX5o1JjqVF7eLnupJl/D38iE9L4PkhE5i5dFal9VIB8HT3J6nIOS0pNYa6V3lO8/WuSVpmEqPvfJPgwEaciwrn16UfkJuXfeWV/yNM1+mcKtcq6akibK2+peEkATintS46WHGj1rp1kZ8SDSpFVMqRb8lXB3MvleX/dntFZ6j+fcff/3ZzJXocBPZrTcw/+0t+g2FQOAV6kbT7JKe+WY0pNx+/rpe+yCuv0joPFe9VUlr/Ig2cizvNr+u/5f2HvuCdB2dxKvoYRlPhRc7cVZ8z6r3b+WfvX9zR5Z6Kjn4ZJb8Nij+8j7AZUznww1fU7WcesebTuDl56WmkR50vUd6mrnK+8oTDB9g58z0O/ziHOn1vL3h+71efsufzjzg47yuCOnXDo04922WFS+Qt/Ru3OnXb0bbdIFavmGXbTFd05Xp9UY16rWjcvj87VnwDgMFgh09QA45sX8rCWU+Sn5dNy5532zjt1ee9XpSWP+pwGKtmPMvWHz6gWT/b7tOLSu0geRX3ELjYk+bhzx/mgU8e4Nn/e5YRXUfQpm4bAO7sciczlsxg0LRBzFw8k1fueqWCk5dUhkOx6pT2nlKGkFqbeHHW3Yz7oD/1g5sT7F+/ItOVrgw7Nqhua0Lb3cbWFYUN3Qu+eob5nz/OsnlTaN7pDmrUuX4aRKuW9T4O7NeKmH8Oljw+DQqnQE+Sdp/i1Jw1mPKM+HVpbPt4pZ47Sq8XIXXb0KLdANav+LJIURPzZo1l9gfDqBEciq9/XVslBS5xPaevogyam5p2Iyk9ifCIoyWW29S/uH+LncGeWjWasH7770z7fCQ5uVnc2vPBK68oxCVIo4qoCIeAdpdYdtIy50gDoLNSanBZN66Uqod5EtrYK5WtIIuB6VTA0B+t9Vda6/Za6/YjOvQt07p5aVk4uDkXPHZwdyI/PcuqjFMNL4KHdqHhkwNwDw2mxq1tcWsURH5qFnmpWWRFmSdiSz0SgWOg57/9c0qIS4nFzyOw4LGvhz8JqXElyvh7BpRaZsXORYz7bBTP/e9h0rJSiYw/R3H/7F1B9+Z9Kjw7mHumOHp4FTyu7uFJTmrKJcunnDmBk7cvDs4ueNSuh09oCzo//xZN73kQr3qNCR0x2iY5i2eu7uFZmNndg9zLZj6Fk7cP9s7mb49y08zDPPIy0kk4fAC34JK9XCpSakosHh6F//8e7v6klTLUISCgAXcMfYmff3ierKyqnVsgMyXeqnu+s4cvmaklJ3n2CqxL96HPsvr7N8jJMnfhzkiJJyM1jjjLxeXpg5vwDWpg07zxKTH4FjkOfTwCSCx2HF7LslIScfYoHC7j5OFNduqlJ5GMPxOOi3cg1ZzdbJ4tNiWWgCLnL38Pf+KK7dvLlbk4rCcpI4l1B9fRtJb5m+oB7Qaw9sBaAP7e/zdNL/MNdkWJT43Ft8ix6Ot+7dWTxJQYfIrUZW/3AJLKkTEzO43Dp3fSulG3ioxXqoxi5wsXdz8ySjlfeAfUo9fQ5/jrh9fIKXKOy7T0aMrKSOb04U34B1+6V9yNKi8tCwf3ItdDbk7kp1n3KHCq4UXwkI40HHcr7k2CqdG/tfl6KO3i9ZC5V6qtroeKS0+Jxa3IUFY3dz/SS3nv8wuoz61DX2TBD1PILuW9Lyc7nfOn91C3UWeb5o1JjiXQszBvgGfJc11MSillUuJpXbclPZvdxPJXFvDe/VPp0LA900a9YdO8AMkpsXgVOad5uQeQfJXni6SUGJJSYzlj6c22++Df1AqSY0+UnzSqiIrwD1BdKfXIxSeUUh2A2hcfW2ZUfhGYUpYNK6X8gNnALF1Zg+jNQ37e0lrbdna7K8iKSqSatysOHi4ogwGPprVIO2Z9t6/jny/n+OfLOP75MlLDI4hesZu0Y1HkZ2STl5pJNW/zhw6XOgHkxFX8B9WjEYeo6RNCoFcQ9nb29GrVn62H11uV2Xp4PX3bmnt3hIa0ICM7nUTLnXw8XcwNGn4egXRr1pu1+8zzUNT0KbzLWZemPThfZGK3ipQWeRYnX38cvXxQdnYEtGxHfLj1f7uTd+HFsmtQCAY7e/IyMzi1ajFb33+FbR++xuFf5pB06ijhv8+zSU7rzOdx8vHD0csbZWeHX8s2JByxnrzO0du3SOZglL0d+ZkZGByqYVfNPGmqwaEang0akxFzAVuKigzH2ycET68a2NnZ07xlP44c2WBVxsMjgLtHvcef898gIaGSe/6UIi7yKO6+NXH1CsBgZ0+9lr04F77NqoyLhx99R73G+t8/JDWhcD7rrPQkMlLi8fANBiCofmuSYks2Flak45GHCPKtRYDlOOzRsj9h4euvvOI1IinyBK6+NXD28kfZ2RPcshtR4dbDm128Cz9oewbVxWBnT25mWvFNVbjD5w8T4htCkGXf3tL6FjYe3mhVZuOhjdzeztwbrHmt5qRnp5OQloCjgyPO1c0fBB0dHOnUqBMnL5g7ZMalxtG2XlsAOjTowPl429f7YxHF6kmr/mwLX2fz1y2Lk5GHCPSphZ9XEHZ29nRt2Z9dR66uLrs5e+HsaH7Pc7CvTov6nYgqMiG2rcRGHsHTpyZuXoEY7Oxp0LI3Z45Yz7Pl6uHPraPeYM38d0lJKJyA2d7BEYdqTgW/hzRoT2KRiUGFWVZUEtW8XHHwcEYZFB5Ng0k7Xux66IsVBT+pRyKIXrnXcj2UQ15aFtW8XQFwqeNfcoJbG4iOPIKXTwgeXjUw2NnTpGVfThzZbFXGzSOAO0ZNY9n8qSQVee9zcvakuqM5r719NWrXb09CkYmPbeHQ+XBq+YUQ5F0Dezt7+rfpx/qD1ue69Qc3MrC9+VzXonYz0rPTiU9L4LNlX9L/rcHc/vZQXvz+VXYc38nLP75h07wAZyIP4e9TCx/L+aJ9y/7sO7LuqtZNTU8gKeUCAb7mjypN6nckusik3TcCrdV1+XOtkjlVxL+mtdZKqaHATKXUi0A2hbdULmoh8IZS6uIcJcXnVHlbaz0fcLI8f/GWyt8DFXHf1zFKqSFFHpfa7K+1jgA+qYDX+3e0JnrlbmqP7IEyKJL2nSYnPhWvtubuzEm7LzdaCi6s2kPwkE4og4Hc5Awil4Zdtnx5mExGZi1+n3cf/Nx8i86dizkbe4qBne4EYOn2Pwg7uolOTboz7/lF5ORlM/33NwrWf+2+6bg7e5BvymfWovdJt3zb/9BtTxPsWxutNTHJ0XyyYFqFZwfzBL7HFv9Gq7FPopSB6F1byYyNJqijeTK5qLBN+DVvTWCbTpiMRkz5uRz6xfa3Nbwsk4kTS/6g+ZjHUMrAhd3byYy9QI2O5okRo8O24NusJQFtOqBNRkx5eYT/Yr7laDVXN5qOMk9wrgx2xO7fRdJx296W1mQysnzJdO4f8ykGZWDP7iXExZ6mfcehAOwMW0DPPg/h7OzBgMGTC9b56osxAAy/ayp16rXF2dmTiZOXsG7NV+zetcSmmbXJxNbFn3Pr2HdQysCxXatIjj1Lk47mOayPhC2jTZ9RVHd2o+vg8QWZF3/xFABbl3xOz7tewM7OnrSkC2yY/5FN85pMRmYvfo83x36JQRn4e9cizsWe5NaO5tsjrwibj6erDzOe/Ann6i6YtGZwt1GMmzmMrJwMJt39Li3qtsfdxZO5L6zkp7+/ZPWuhTbNXJQ2mdi7+Bu6j30ZpQyc2bWWtNgI6nbsB8DpsNXUbN6J2m16YjIaMebnsv2XGZWSzWgy8uHCD/n0kU8xGAwsCVvCqZhTDOs8DIA/t/3J5iOb6RralT9f/JPs3Gym/ma+O5i3mzcfjv4QADuDHSv3rGTbUXPj3Dvz32HiHROxN9iTk5/Du/NtP0eMyWTky8Xv8/aDX2BQBlbtXMS52FPcbqkny8Pm4+XqwyfjfyyoJ0O6jeKxGXeSlVM5dwszmYzMXfIeL40x1+W1uxcREXuSvpaMf4fNx8PVh3fG/YRTdRe01tzWdRSTPhmGl5svTwyfisFgwKAMbD2wit1HN17hFf89bTKxcclnDBzzPkoZOLL7L5Jiz9K0o/nLhMNhS2nf534cnd3pMfiZgr/zjy/G4eTqxa2j3gTMQweP71/D+eM7bJ75SiZOnEhYWBhJSUn06NGDp556ihEjRlRdIK2JXrWX2vd0t1wPnSEnPg2vNuYhMUl7Lt94dmHlXoLv6IiyM5CblEHksn89J+WVI5uM/L3kY4aP+RiDMnBg9zISYk/TquMdAOwLW0TXPmNwcvag3+DnAHO9+P6Lh3F18+G24S9jMBhAGTh64B9OHbXthPhGk5H3/pzOl49+Yrl9/FJOxpxmeBfze/X8rQvYGL6F7qFdWfLSfLLzsnn95yq6Y5yFyWTklyXv88wY8zlt8+5FRMeeooflfLEhbD7urj68NO5HHC3ni5u7juKNT+4kOyeDX5a+z0N3vYOdnT3xiZHM+6Py7jIo/ntU5X35L8SN7dC0366rg+3ZtPeuXOga85Khy5ULXWPsVLWqjlAma6i8Ox1VlFras6ojlNlCYq5c6BoyhpITy17r3s+z7Te/tuBrb/u7llQkd8N19bYHQE+ucOema9AT09ZUdYQyOfTOH1UdocyWZ1ROQ25F+TGrau7g9W90crLdhO628r9pe67drhNXUOfxPtffCRo4M/ufa3Kfy/AfIYQQQgghhBBCiHKQ4T/iP0UpNRbr2zYDbNZaP1kVeYQQQgghhBDiWqJN12SHj+uWNKqI/xSt9VxgblXnEEIIIYQQQgjx3yfDf4QQQgghhBBCCCHKQXqqCCGEEEIIIYQQN4hr+fbE1yPpqSKEEEIIIYQQQghRDtKoIoQQQgghhBBCCFEO0qgihBBCCCGEEEIIUQ4yp4oQQgghhBBCCHGDkDlVKpb0VBFCCCGEEEIIIYQoB2lUEUIIIYQQQgghhCgHaVQRQgghhBBCCCGEKAeZU0UIIYQQQgghhLhBaJPMqVKRpKeKEEIIIYQQQgghRDlIo4oQQgghhBBCCCFEOcjwHyGEEEIIIYQQ4gYht1SuWNJTRQghhBBCCCGEEKIcpFFFCCGEEEIIIYQQohxk+I8QlSQ353xVRyiTJtfh2cHfa3hVRyi7vPSqTlAm3VKvr7wAbsqvqiOU2TK9vKojlInhOvyOxtc+r6ojlFkHQ7WqjlAmNbV7VUcos4Y0quoIZXbonT+qOkKZNHvpzqqOUGZ/v/xpVUcok17OmVUdocyMyHAUcf26Dj82CSGEEEIIIYQQojzklsoV6/r7akkIIYQQQgghhBDiGiCNKkIIIYQQQgghhBDlIMN/hBBCCCGEEEKIG4XcUrlCSU8VIYQQQgghhBBCiHKQRhUhhBBCCCGEEEKIcpBGFSGEEEIIIYQQQohykDlVhBBCCCGEEEKIG4Q2VXWC/xbpqSKEEEIIIYQQQghRDtKoIoQQQgghhBBCCFEO0qgihBBCCCGEEEIIUQ4yp4oQQgghhBBCCHGD0FpVdYT/FOmpIoQQQgghhBBCCFEO0qgihBBCCCGEEEIIUQ4y/EcIIYQQQgghhLhRmGT4T0WSnipCCCGEEEIIIYQQ5SA9VUSVU0oZgQOY62M4MFprnamUsgcuAF9rracopW4B3gS6aq21UsoO2AWMA24BXgcaaq1PWLY7AfgY6KC13qmUOgOkAUbLS2/QWj+tlPoW6AfU01rnKKV8gZ3AIOB7S9laQIrlJ97yejOBPoAGsoG7tNanbbGPANwa1CH49t4opUjYfZCYjWGllnMOCqDRo/dy5relJB8+bqs4pQpt2JU7b5+EwWDH1l0LWL3hW6vlAb51GDXsDYKDmrB09ef8s9m8e/19azP27vcKyvl41WT5mtms2/pTJaYH1zreBPZuCAqSD0YTH3bOarlzsCe1hrQgNyULgLTj8cRtO1OpGQFc6/oR2Lc5GBTJ+84Rv+1EqeUcAz2o98BNRCzaRerRaKp5uxB8R7uC5dU8nYndeJTEnTartgD4NGxGk4H3oAwGInZs5MyGFVbL/UJb0aDvELTWaJORo8t+JfnsCQz29nR4ZDIGe3uUwY6Yg7s4uWaxTbNe5NmwIXUGDEQZDMTs3EHUhg1Wy71CQwnp2xe0RptMnFm2jLSzZ3H09aXRPfcUlKvu5c35NX9zYcsWm+Zt07ArDw6cjMFg4O8dC1iwYa7V8pp+dRh/55vUCwrlp1WzWLTpOwB8PAJ4esTbeLn6YNKa1Tv+YNmWyj3uAPwbtqLlwDEog4GzO/7h2IZFVstrhLYntO9dBXXkwLJ5JJw9Wuk5i2rXqCuPDXweg8HAyh0L+X299T4P9qvDhOFv0iCoCfNWzeLPjd9fYku206BhZ24bMBFlMLB752I2bfjOanmLVv3p3uN+AHJzsli6+ANiLpjfN+4Y9gqNGncjIyOJLz69t9IyBzdsT9eB41AGA0d2/MW+Db9aLW/Qqg+tetwNQF5uFpsWfUrihVMAVHN0ocewiXgH1EFrWP/HdGLPh9s8s3fDpjQcOBwMBqJ3bObchtVWy31DW1K378CC+nti2R+knD1ZWEAp2j/5AjmpyRz4brbN87rWCyCwXytQiuR9p4nfeqzUco41vKg3ujcRC7eTeiQSAEN1B4IGtMXRzwO0JnLZLrIiE22e+XKmTJnCunXr8PHxYenSpVWapajaDTvSc8BTKIOBQzuXsXOD9bm1cau+tO9hPrZyc7JYu/hj4i8U1gulDNwz7isyUuNY/P0Um+dt0rArw26fhDLYsW3XAtYUu4bz963DvcPM13DLVn/O2s2F57SeXUfRud0QQBMdc4Kf/nyD/Pxcm2e+3q87xX+HNKqIa0GW1ro1gFLqR+BxzI0htwBHgbuUUi9prVcppR4EHgL+D3gK2KG13mJpcDkA3AO8bdnucOBwsdfqrbWOLyWDEXgQ+PLiE1rrA8DFXN8CS7XW8y2PRwJBQEuttUkpFQxk/JudcFlKETLwZk7Mm09eahqNHxtFypETZMclligXdEsPUk+csVmUS0c0MGLQC3w+dxzJqTE8//gPHAhfz4W4wg/sGVkpzF/2AS1De1utGxt/lvc/H1mwnbcnr2Bf+NpKzY+CGjc34sz8veSn5VBvVHvSTsSTk5hpVSwzIplzCw9UbraiFNS4pQVnftlGfloW9cbcRNrxC+QkpJcoF9C7KemnYwueyk3M4NTcDQXLGz3Zj7RjF2ycVxE6+F52zZlBdmoSnce9TNyRfWTERhcUSTx5hK3hbwLgGliTViMfY/OM1zDl57Pzm48w5uagDHZ0fGwy8ccOknL+lM0z1x00mMNz55CbmkqLJ8aRFH6ErLjCfZly8iRJ4eYPa84BgTQaOZK9M2eQHR/P/lmzCrbT7oUXSTxc/DRUsQzKwCODp/DmnMdJSI3hg3E/suPIeiJiC/dTemYK3yz5gI5NrY89k8nIvOUfcSrqCI7VnJk+/mf2ndhmta7NKUWrwQ+yec40slIT6D3uXaKP7CQtNrKgSOzJA0SH7wTAPbAWHUc+y98zJlZexmIMysC4wS/y8jdPEJ8aw8wnf2Rb+HrOF9lvaZkpzF7yPl2K7fPKopSBAYOe57u5T5GaGsujT3zL0fCNxBU5JycnRTH36yfIzk6jQaMuDB7yIl/PfgiAvbuXErbtd4YOf71SM3cf/BTL5rxARmo8Q8fN4uyRrSTHFjZwpyVdYMnXz5GbnU5Iow70GPosC798GoCuA8dx/thO/v5pKgY7e+wdqldGaBoNvou9cz4jJzWZ9uMmE3/kAJmxhefWpJNHiQ/fD4BLYBDNRj5E2IypBctDuvYmM+4CdtUdKyEv1OjfmjM/byI/NZN6Y/uQdjyanPi0EuUCejcn/VSM1dM1+rUi/WQMEX9uRxkUyqHqP0oMGzaM++67jxdeeKGqoxRQykCvQc+yYO5zpKfGcc8T/+NU+GYS484WlElNimb+10+Tk51O7UaduHnIJH6d/UTB8tZdh5MUd5Zq1Z0rJe/wQS/wpeUabuLjP3AwfD0xRc4XmVkp/LHsA1oUu4bzcPOjR5d7eO+T4eTl5zD67vdo26I/YXuW2DzzdX3dKf5TZPiPuNZsBBpYfh8JfAKcAzpbnpsATFFKNQPGA0XfQRcCdwAopeph7lUSd5WvOxOYYOkdczVqANFaaxOA1jpCa510leuWmXNwIDmJyeQmpaCNJpIOHMWjSYMS5fw6tyH58HHyMzJL2Ypt1Q5uTnxCBAlJkRiN+ew6sJIWob2syqRnJHEu8jBGU/4lt9O4fkfiEyNISo6+ZBlbcAp0Jzc5i7yUbLRJk3I0BrcGvpWa4Wo41fAiNymDvJRMc87DUbg1DCxRzrtdXdKORpOfWfo3RS61/chLziQvNcumeT2C65KZEEdWUjzaaOTC/h34h7a2KmPMzSn43c6hOlqXXKbs7FAGO6wW2ohrcDDZiQnkJCWhjUbi9+/HKzTUqowpt3C/Gqo5oEvJ5VG/PtmJieQmJ9s0b4Pg5kQnnCcmKZJ8Yz6b9q+kY7FjLyUjiRORh0oce0lp8ZyKOgJAdm4mEbGn8HH3t2ne4ryDG5CREENmUizaaCRi/xZqhHawKlO0jtg7VDf3D6xCjUKaE5VwnguWfb5h30q6lLLPj0ccxmi89PnOlmoGNyUxMYKkpCiMxnwO7l9Nk9AeVmXOnztAdrb5w3TEuYO4exT+3589s5eszNRKzewX3JiUhCjSki5gMuZzcv866oR2tSoTc+4wudnplt/DcXH3A8ChujOBdVpwdOdfAJiM+eRm2+67jovcg+uQlRBHdlIC2mgkZv8ufENbWpUpfo4rWn+ru3vi06Q5UTts25vtIqcgb/N7SHKG5T0kAreGQSXKebdvQNrRSPIzswueM1Szx7mWL8n7zgCgTRpTTl6l5L6cDh064OHhUdUxrAQEh5KSGElqUjQmYz7H9v9DvdDuVmWizx0ix1KXL5w7hKuHX8EyV3c/6jbuzMGdldPzpvg13J5LXMOdjzyMqZRrOIPBDgeH6hgMdlRzcCIl7Wovvysu8/V23VnVtFbX5c+1quqbl4WwsDRo3AasUEo5ATcDjwGemBtYtmqto5VSM4GtwNNa66JdNVKB80qp5pgbV34FxhZ7mbWW4UYA87TWMyy/nwM2AfcDV9O0/huwSSl1E7AG+EFrvacsf29ZVHNzJTel8Fuk3NQ0XIJrWJVxcHPFI7QBJ+b+Tq2at9gqyiV5uvuRlFL4zVxyaix1gpuXeTttW/Rn1/6VFRntqji4VicvrfDiMS8tB6ca7iXKOQV5UP/+DuRl5BCz/gQ5CZXbgOXg5kheWmFDSF5aNk5BnlZl7F0dcW9UgzM/byGoRutSt+PRNIiUw5GlLqtIjh6eZKcUHqbZKUl4hNQtUc6/aRsa9h9KNRd3ds/7tHCBUnR+8lWcffw4v20dKRG2HaoEUM3dg5yUlILHuakpuIWElCjn3bQptW7pj4OLC+HfzSux3LdlSxL277NpVgAfD38Sihx7CSkxNAxpUebt+HkGUTeoCcfOV25PLEcPb7JSEgoeZ6Uk4BVSstG4RtMONOs/kuouHmyd916J5ZXJx92f+JTCb/DjU2NoHFL2850tubv7k1IkY0pqLMEhzS5Zvm37wRw/trUyol2Si4cvGSmFH8YyUuLxD2lyyfJN2t/K+WM7AHD3rkF2Rgo973wenxr1iI88zpalX5Cfl33J9StCdQ9PslMKv1PJSUnGPaROiXK+TVtRr/9gqrm4sX9eQadYGgwczom/FmBfGb1UAAc3J/JSC9+38tKycArytipj7+qIe+Mgzvy4gaABRYeMupCfmUPQwHY4+nuSfSGJ6NX70HlGhDVXd1/SUgp7N6anxhEYEnrJ8s3aD+DMse0Fj3sMGM+mFbNxqIReKgAepVzD1b7Ka7iUtDjWbvqe1yctJy8/hyMntnL0xDZbRS1wvV93iv8W6akirgVOSqm9mOcxOQd8AwwE1mqtM4E/gKGWOVQAPgfstNbflrKtXzAPARoCLChleW+tdWvLz4xiy94BnucqjgutdQTQGJgCmIA1Sqmbr7ReualSWmaLfVNb87ZeRK3aWCnf5JeuZMbSvr2/HDs7e1o06cGeg6uvXLiiXUXjd3ZsGse/3srJ73eQuCeCkDvK/sG1MgT2bUbMusOX/DZfGRRuDQJJORJVCWmu7luF2MN72DzjNfb+8DkN+t1RuEBrts16iw3vT8YjpA6uASW/Ua1wpR1upezLxMOH2TtzBkd+/IGQvv2sN2Fnh1eTUBIOHLRRSKtXK+W5sh17jtWcmDxqOnOWfUhWju2/3bd2dXUk+vAO/p4xkW0/TCe03902znR5pe7xKu49U0IZQtap24627QaxesUs22a6olLeRy5Rl2vUa0Xj9rexfcXX5jUNdvgGNeTw9iX8OesJ8vKyad2zqupJyczxh/cRNmMqB374irr9BgLg07g5eelppEedr+yAxVjnDezXiph/Dpb8MwwKp0BPknaf4tScNZjyjPh1aVx5Ma8npVy3XeocEVy3Dc3aDWDziv8BULdxF7IykomNKn2uG9so/zWck6MbzUN78dZHA3nt/f5Ud3CiXavbKzpgKa7z607xnyI9VcS1oGBOlYssc5Z0s0wuC+AD9Ab+tsxhcqmz5hLgQ2Cn1jpVldYYcQla6xOWxp27rrJ8DvAX8JdSKgZzQ86aYn/Ho8CjAC8PGM6dbTsX38xVyU1No5qHW8Hjau5u5KVZz6HhXDOQOiMGAGDv7IR7w3rmrr1HSp/EtKIlp8bi5VE4DMXT3b/M3T+bNuzG+egjpGVU/qR3eWk5OLgVflPo4Fad/PQcqzKm3MJv49JPJ6JuVtg5OWDMqrzuz3lp2Ti4ORXJ6Uh+mvU3sU6BngUT0to5VcOtnj/apEk7bv5Gx7W+P9kxKRgvMTSoImWnJOHoUfgtqKOHFzmpyZcsn3TmOM7e/jg4u5KXWVjH87OzSDx1DJ+GzUmPsW1jUG5KCtWLdCWv5u5Bbuqlh0GknTmDo7c39s7O5GeavwH2bNSIjKgo8jLSL7leRUlIicGnyLHn4xFAYurVH3t2Bnuev/cjNuxdzvZD/9gi4mVlpyTg5OFT8NjJw4fs1EuPpkw4E46LdwDVnN3IzUy7ZDlbik+NxdcjoOCxr3vZ9nllSE2JxaNIRg93f9JSS04pFhDQgDuGvsQP854lK6tyh/sUl5ESh0uRIRAuHr5kpiaUKOcdWJeeQyfy17cvkZOVVrBuRmoccRHm4WynD26gdY97Sqxb0XJSknH08Cp4XN3Dk5zUlEuWTzlzAidvXxycXfCoXQ+f0BZ0btwMg70D9tUdCR0xmvDfS/Z8qyh5aVk4uBf2fnBwcyr5HlLDi+AhHQGwc66OW/1AtEmTFZlAXmoWWVHm4zP1SAS+0qhSqvSUONyKDKdzdfcjo5TjzzegHjcPfZ5F8yaTbTn+atRuTt0mXanTqBN29tWoVt2F/iNeZuXv02yWN6WUa7jUq7yGa1S/E4lJkWRkJgOw//A/1K3Vkl37ltsiaoHr/bpT/LdITxVxzVFKuQPdgVpa6zpa6zrAk5iHAF2W1joL8zwr5X3nmQZMuoqMbZVSQZbfDUBL4Gzxclrrr7TW7bXW7cvboAKQGXmB6t6eVPN0R9kZ8GrRmJQjJ63KHJ7xfwU/yYePEbH070prUAE4F3kIP58QfLyCsLOzp12L/hw4sr5M22jX8tYq64KZdSGNap5OOLg7ogwKj8YBpJ20vgCyd65W8LtToBsoVakNKgBZ0clU83bBwcPJnLNpEGknrCebPT57Dce/NP+kHo0metWBggYVAI/QmpUy9AcgNfIMzr7+OHn5ouzsCGzZgdhw6yExTt6FH6Lcgmqh7OzIy0zHwcUVe0dzA5LB3gGfBqFkxNl4Yl0gPTISRx9fqnt5oezs8G3ZkqQj1ncQcfQubChyCQrCYG9X0KAC4NuyFfGVMPQH4ETkIWr41sLfKwh7O3u6t+zPjvCrP/aeHPY6kXGnWbL5BxumvLSkyJO4+gbi7OWHsrMjuGXXgklpL3LxLtI4EFQXg519lTWoAByLOESQby0CLPu8R6v+bAtfV2V5ShMVGY63TwieXjWws7Onect+HDlifRcrD48A7h71Hn/Of4OEhKruLQFxkUfx8K2Jm1cgBjt76rfsxdlw6yFJLh5+9Bv1Omt/f5+UhMLzWFZ6EukpcXj4BgNQs34bkmJLvC1XuLTIszj5+uPo5YOysyOgZTviw62H0BU9x7kGhWCwsycvM4NTqxaz9f1X2Pbhaxz+ZQ5Jp47atEEFICsqiWperjh4OFveQ4JJO27dUH38ixUFP6lHIoheuZe0Y1HkZ+SQl5ZFNW9XAFzq+Jec4FYAEBN5BE+fYNwtdblRyz6cOrLZqoybhz8DRk1l1fxpJCdEFDy/ZdXXzPlgBHOn38Nfv75FxKndNm1QAfM1nK9PCN6Wa7g2Lfpz8Cqv4ZJTLlA7uAUODuYvphrW72g1wa2tXO/XnVXOdJ3+XKOkp4q4Fg0D/rH0BLloEfCBUqp6sedL0Fr/cpnFRedU2a+1fqDYuoeUUruBtlfI6A98rZS6eGuBMMB2/aZNmohl/1D/gTtRBgMJuw+SHZeAT3vzZHgJO/fb7KWvlslk5Pel7zNu9Ocog4FtuxZzIfYU3TrcCcDmHX/g5urD80/8gGN1F7TW9Op6L+98OpzsnAwcHBxp0qATvyyy7YXDJWlN9D/HqH1nK5RBkXQwmpyETLxamoebJO2Pwr2RH16taoJJY8o3ErHsUNXkXHWQ2nd3RilF0v7z5MSn49W6tjnn3st/iFD2drjU9SNqZeXUGW0ycWTxT7Qd+yxKKSJ3bSYjNorgjj0BiAhbT0DzdgS16YLJaMSUn8v+X74CoLqbB82HP4hSBpRBceHATuKPVkJuk4nTSxYTOmYsSilid+8iKzaWgI7mb25jwsLwbtYcvzZt0CYjprx8jv1SeNoxODjg0aABpxaWNgLRFnGN/N/i93ht7JcYlIE1uxZxPvYkt3QcDsCqsPl4uvrw4ZM/4WQ59gZ2G8XTM4dRO7AhvdoO4kz0MT4ab7517Y+rPmP3sU2Vkh3MdWTf4jl0G/sSKANnd60jLTaCOh37AnAm7G+CmneiVpseBXVkxy8zKy1faUwmI18ufp+3H/wCgzKwaucizsWe4nbLPl8eNh8vVx8+Gf8jztVdMGnNkG6jeGzGnZU2vMpkMrJ8yXTuH/MpBmVgz+4lxMWepn3HoQDsDFtAzz4P4ezswYDBkwvW+eqLMQAMv2sqdeq1xdnZk4mTl7BuzVfs3mXbu3lok4nNi2dx29h3MSgDR3etJCn2LKEdzcNlwsOW0q7P/Tg6u9Nt8NOWdYws+OJJALYs+Zw+d03BYGdPWlI06+ZPt2nei5mPLf6NVmOfRCkD0bu2khkbTVBH86SkUWGb8GvemsA2nQrq76Ff5tg816UDa6JX7aX2Pd3N73X7zpATn4ZXG/NcV0l7Lv9h+MLKvQTf0RFlZyA3KYPIZTsvW74yTJw4kbCwMJKSkujRowdPPfUUI0aMqNJM2mRk3ZKZDBkzHaUMHN69nMTYM7ToOBiAA2GL6dhnNI7OHvQePAEwH3+/fPFYleQ1mYz8sfR9Hh/9OQaDge2Wa7iulmu4LZZruOeKXMP17Hov7346nLMRB9l3aA2Txv2IyWQkIvooW3b8WSmZr+vrTvGfoso69kwIUT57XvvoujrY5ph+rOoIZfa410dVHaHs8mw/PKQiRaYuruoIZeam/K5c6BrzobZtt+mKdj/X3xCAr3VlzldQMToYql250DWkpi452fe1riGNqjpCmfm79qnqCGXS7KU7qzpCmX3ycs+qjlAmp9X114Poepzu+LO3d1+7t6O5goC7Bl5Xn0suivlt6TW5z6WnihBCCCGEEEIIcaMwXZNtE9ctmVNFCCGEEEIIIYQQohykUUUIIYQQQgghhBCiHKRRRQghhBBCCCGEEKIcZE4VIYQQQgghhBDiBiH3qqlY0lNFCCGEEEIIIYQQohykUUUIIYQQQgghhBCiHGT4jxBCCCGEEEIIcaOQWypXKOmpIoQQQgghhBBCCFEO0qgihBBCCCGEEEIIUQ7SqCKEEEIIIYQQQghRDjKnihBCCCGEEEIIcaMwVXWA/xbpqSKEEEIIIYQQQghRDtKoIoQQQgghhBBCCFEO0qgihBBCCCGEEEIIUQ4yp4oQQgghhBBCCHGj0KqqE/ynSE8VIYQQQgghhBBCiHKQRhUhhBBCCCGEEEKIcpDhP0JUksyej1R1hDJxXftLVUcosydjJ1V1hDJLN9pVdYQycbUzVnWEMnvRrlVVRyizbRE1qjpCmexxia3qCGWmtVdVRyizUd4uVR2hTJxxruoIZfZSXlhVRyizYRn7qjpCmfz98qdVHaHMnpm2vqojlEmQb8uqjlBmrR+5vq6HrntyS+UKJT1VhBBCCCGEEEIIIcpBGlWEEEIIIYQQQgghykEaVYQQQgghhBBCCCHKQeZUEUIIIYQQQgghbhQyp0qFkp4qQgghhBBCCCGEEOUgjSpCCCGEEEIIIYQQ5SDDf4QQQgghhBBCiBuFDP+pUNJTRQghhBBCCCGEEKIcpFFFCCGEEEIIIYQQohykUUUIIYQQQgghhBCiHGROFSGEEEIIIYQQ4kahqzrAf4v0VBFCCCGEEEIIIYQoB2lUEUIIIYQQQgghhCgHaVQRQgghhBBCCCGEKAeZU0UIIYQQQgghhLhRmFRVJ/hPkZ4qQgghhBBCCCGEEOUgjSpCCCGEEEIIIYQQ5SDDf4S4hh04tIWffv8IrU3c1PUOBvQfU6LMkWO7+Hn+RxiN+bi6ePLixK8AyMxMY+6PbxMZdRKFYuz9r9KgXkub5m3UsAsDb38Og8HAjl2LWL9hntVyP9/aDB/2GkFBTVi1+ks2bv6hYFnXLvfQof0QFIodOxeyeevPNsvZsVEXxg+ehJ2yY9mOhfy07tsSZZ4a/DydG3cjOy+b9357g+NRRwjxrc3ro94tKFPDuyZzV89m/qafqV+jIROHvoRTNWcuJEXx9i+vkJmTUSF5uzTuzKQ7zPt14fZFzFv7XYkyk+54jm6hXcnOzeaNX9/iaORRABa/tJDMnEyMJhNGk5EHPhkNwNMDn6JH05vIy88jIiGSN399i/Ts9ArJC9ffPi7Ot2FzQgfeCwZFxI6NnN6w3Gq5f2hrGvYditYabTIRvuxnks8ex2BvT8dHXsRg74AyGIg5uJMTaxbZJCPA1Psep0+rDmTl5DDh6484cPZkiTIhvgF8+eSLeLq4cfDsCZ6aPZ08Yz5dmrRg7rOvcz7uAgDLd25hxqKfqO7gwJ8vfUg1BwfsDXYs27GJ6Qt+KLHdsnj9rqfo1awT2bnZTPrufQ6dP16iTLBPIJ899BoeLm4cOnecid++Q54x/7Lrj+l9J/d0H4BC8cvmpcz954+C7Y3uNZQHeg0h32hi7cFtvLfgf/8i/3h6N+9EVm42k+Z9cMn8sx5+tSD/hLnvkmfMp35ACB+OnkyzkIZMXzyHr1f/VrDOQzcP5+5ut6O15mjUaZ6f9z45+XnlzllcjYZtaT/wEZTBwIkdqzm8Yb7V8jqtetK0x50A5OdmE7boC5IvnAGgSbc7qN/+FkCTfOEMW//4BFMFZrsa/g1b0XLgGJTBwNkd/3Bsg/WxVCO0PaF977Ich0YOLJtHwtmjNs/VuXEXnh38HHYGA4vDFvH92nklyky44zm6NjGf36b++ibHLOdkV0dXpox4hfqB9dFaM+33qRw8e4BH+z/OTc16YNKapPRE3v71TeJT422Sv07DTtw84BmUwcD+nUsJ22B9fIe26kenHqMAyM3JYvXij4i7cAI7+2qMfGQWdnbVMBjsOHZoLZvXzLFJxuJqN+xIzwFPoQwGDu1cxs4NP1ktb9yqL+173FuQee3ij4m/UHg+VMrAPeO+IiM1jsXfT6mUzJczZcoU1q1bh4+PD0uXLq3qOAWmvvMCffreRFZWNhOeepUD+8NLlPlo5hu0bN0MpRSnTp7l2adeITMji6HDb+fJpx4EIDMjkxeff5vDh45VWvZ2jbry2MDnMRgMrNyxkN/Xz7VaHuxXhwnD36RBUBPmrZrFnxu/r7Rs1yST3FO5IklPleuQUkorpb4v8theKRWnlFpqeTxGKTXL8vsbSqlMpZR/kfLpxX9XStWxbHdqkWW+Sqm8Itv6Vik1vFiWq17/En/LG0qpSKXUXqXUQaXU4CLLJiilspVSHspsk1LqtiLL71JKrSjDPomzvM7Fn6ZFcj9VZN1ZlvKfW8odVkplFVlvuFKqs1Jqu+VxuFLqjcv+p5WDyWTkh18/YML4T3j71d/YvnMVkdGnrMpkZqbx/S/v8/TjH/P2q78x7pH3Cpb99PtHtGjahXden8+bL/9EUGDdio5oRSkDgwdNZu53zzDj07to1eIW/P2sXzMzK5Ulyz5i4ybrC7gA//p0aD+EL2aP5tPP76VJk+74+ITYJKdBGXhmyIu8MOdpRn88nD6t+lPb3zpnp8bdCPYNYdSHQ/joz7eZMNR8AXY+/iwPf3IvD39yL49+eh85edlsPLgWgOfvfJWv/vqMB2fezcZDa7mn5wMVlveFoZN5+v+eYcSHd9O/TX/qBljn7dakKyF+IQx9706mzX+XKXe+YLX8sS+fYNSM+woaVAC2Hwvj7ukjGfnxKM7Fn2PszWMqJO/FzNfTPi5BKZoOvo+d385g08xXqNGqEy7+QVZFEk6Gs/mz19ky6w0O/DmH5sPGAGDKz2fHNx+y5bPX2fLZG/g2aoFHSD2bxOzTsgN1A4Lo9vxDTJ77Ke+OGV9quZfvfpCvVyyk++SHSc5IZ2TP/gXLth87SL9Xx9Pv1fHMWGT+kJKTl8eI916k3ytP0u/VJ+nVsh1t6zcpd85ezTpRx78mvV+/jyk/fcTbIyeUWu7FoY/xzT+/0+f1+0nJTOOubrdfdv1GQXW4p/sAhrz3BLdPe4g+LbpQx68mAJ0btaZvq27c9vbD9J86lq///rX8+Zt3oq5/TXq9dj8v/fgx0+59tvT8wx7lmzXz6f3aA6RkpnG3JX9yZhpv/DqLr//+zap8gKcvY3oPZdC7j9N/6kMYDAYGdehT7pzFKWWgw+DHWfvtGyyd+SR1WvXA3d/6vJqeFMPfX09h+WdPc3Dtr3Qaaq5DTu7eNO4yiBWfT2DZJ+NRBjvqtOxRYdmu8g+g1eAH2fLtu/w9cyLBrbrh5l/TqkjsyQP889lk1s56gd1/zqbNsMdsHsugDDw3dDITv3mGkdPvol/rW6hT7PzWpUlXQnxrMeL9Ybw3/x0mD3uxYNmEO55j29Gt3PPhCO6fcS9nYk4D8MO677n/43sZPWMUmw9v4sG+D9skv1IG+g2ayPx5k5jzyX2EtuyLj18dqzIpSdH8/PVTfPvZGLaum8ctQyYDYMzP5ddvnmHerDHMmzWGOg07UyOkmU1yFs/ca9CzLJw3me8/GU2jljfj7VfbqkxqUjTzv36aHz97kLB133HzkElWy1t3HU5S3FmbZ71aw4YN4//+7/+qOoaVPn27U7debbp1HMjkiW/x7oevlFru9Vc+pF+vEfTtOZzIyGgefGgkAOfPRnLn4LH07TmcGR99xQcfv15p2Q3KwLjBL/La3PE8PuNOera6lRB/6/fetMwUZi95nz82lvxiSoh/SxpVrk8ZQHOllJPlcT8g8jLl44HnrmK7p4CBRR6PAA6VIVd515+htW5tKT9HKXWxXo4EdgBDtdYaeBz4WCnlqJRyAaYBT1rKXs0++VVr3brIz2HL87HAM0qpakULa62ftOS6HThZZL35wDzgUcvy5oD11XIFOHXmEP5+Ifj7BmNv70Cndv3Yu2+9VZltO1bQrnVvfLwDAXB38wYgKyudYyf2cFPXOwCwt3fA2dmtoiNaCQluRkLCeZKSIjEa89l3YDWhoT2tymRkJBEReRijKd/qeT+/Opw/f4C8vBxMJiOnT++mWWgvm+RsEtKMyITzRCdGkm/M5599q+jW1Pq1ujXrycpdywA4fO4grk6ueLv5WpVp26AjkQkRxCSbv+UP8avNvtO7Adh5fDs9mlfMh6NmtZpxPiGCyMQo8o35rNq7ip7NrD/c9GzWg+U7zT0pDp47iJujGz5uPpfd7vZj2zGajAAcOHsQfw//y5Yvi+ttHxfnGVyPzIRYspLi0EYjF/ZvJyC0tVUZY25Owe/2DtVB6xLLlJ0dymAHNvoyqH/bzszfvAaA3SeP4OHsir+HV4ly3Zu2YumOjQD8vulvbm3X5YrbzszJBsDBzh4HO3u0Lv8f0a9VN/7ctgqAvafDcXd2wc/du0S5Lo3b8Ndu8znuj20ruaVV98uu3yCwNntPHyY7LwejyUTYsX30b30TAPf1uIPZK38i19KzIiEtudz5b2nZlT+3rQZgz+lw3JxcS83ftXEbll/Mv3UVt7TqVvDa+88eJd9oLLGOncEOR4fq2BkMODlUJyY5odw5i/MJbkhaQjTpSTGYjPmc3b+BkNBOVmXizx0hNzuj4Hdn98JjUBkM2DlUQxkM2DtUJzM1scKyXQ3v4AZkJMSQmRSLNhqJ2L+FGqEdrMqUPA5tn6tprWZExJ8nynJ++3vvano0s36v69GsJ39Zzm+Hzh3E1XJOdq7uQut6bVgSZu5xk2/ML+ghWLTXnVM1J7SN/pgawaEkJUaQkhSFyZjPkf1/0yC0u1WZqHMHyclOs/x+CDcPv4JleblZABjs7LGzs7M699lKQHAoKYmRpCZFYzLmc2z/P9Qrljn63CFyLPvywrlDuBbJ7OruR93GnTm489rpEdKhQwc8PDyqOoaV/rf1Zv5vSwDYvWs/Hh5u+Af4liiXnl5YVx0dHQveH3bu2EdKirne7N65jxpBFXddcSWNQpoTlXCeC0nm43LDvpV0KXYdmZKRxPGIwxiN+aVvRIh/QRpVrl9/AQMsv48ELjdWYg5wt1Kq5FWgtSwgXCnV3vL4bsrWWPCv1tdahwP5gK9Sqj7gCryC+e9Da30QWAK8ALwOfKe1LtrXvSz7pKg4YA0w+koFi/AHoi25jEUaaCpMcnIc3l4BBY+9vAJISomzKnMh9hwZmam8P+Mx3nz3fjZvM1/ExcVH4ubqyZzv3+SNd0Yx94e3ycnJquiIVtzd/UhJiSl4nJoag4e732XWKBQTe5K6ddrg7OSBg0N1GjfqiodHwJVXLAc/D3/ikgtzxqXE4OdhndPP3Z+4lKJlYvEr9rf0aXUL/+xdWfD4dMxJujU1X1j3atkXf8+Kye/v4UdMkbyxybH4F8/r4c+FImViUmILGkk08Pmjn/H9s/MY2mlIqa8xuOMgthzZUiF5L+a5nvZxcdU9PMlKKfwAmZ2SRHX3ko0V/k3b0n3CNNqOfoaDfxTpZqwUXce/QZ+XZpJw4hApEadKrFsRAr19iEosHB4QlRhPoLf1BbC3qzspmRkYTSYAohPjCfQqbHBr1yCU1W9/zg/PvUWjmrUKnjcoA6unzmL/rJ/ZcHAPe06Vf0hFgKcv0UmxBY+jk+IJ9LTO6eXiTmpmekHOC8lxBFjKXGr9o1Gn6digJZ4u7jg6VKdX807U8DLXobr+wXRo0JIFk7/glwkzaVm78b/KH1Xk9S8kx10xf3SR/JcSkxzP13//xpZ3fiHs/fmkZWewMXxnuXMW5+ThQ2ZKYf3ITEnAyf3Sja31299C1LFdAGSlJhK+aQFDJs9h2JTvyM3O4MKJPRWW7Wo4eniTlVLYyJSVkoBjKcdhjaYd6DvhY7qMfpHdf3xp81x+7n7EFj0nl3p+sz5vx6XE4ufhT02fmiSnJ/PK3a8z79kfmDL8ZRwdHAvKPXbrEyx8eSm3tL2Vr1eWf7ja5bi6+5GWUlif01LjrBogimvZfiCnj20reKyUgdHj5/LklCWcObGT6IgKv/wpwdXd1ypzemocrh6XPr6atR/AmWPbCx73GDCeTStm/6vG4RtBYA1/oiIvFDyOioohsEbpDSMzPn2LfYfX0qBhHeb8X8nL7ZH3DWPtms02y1qcj7s/8UWuKeJTY/C5TL0WoqJJo8r16xfgHqWUI9AS2H6ZsumYG1aeKcN2gwEjEFXOXGVeXynVCTBhbuS42CiyEWhcZPjSm8C9wG3AB5d47Uvtk7uLDf9xKrLsPeA5pZTdVcadARxVSi1QSj1mec0KVdq3VArr25+ZTEbOnjvCs+NmMvGpz1jy1zdciDmL0WTk7Pmj9LppOG+89CPVqzmybNW3FR2xRLrirvYCJi7uDOs3fseDY2cxdvSnRF84jslU8lvdinE1OUspU+T/w97Onm5Ne7LuwN8Fz33w+1sM6XIX/3vqB5yrO5NXYXMPlJa3WIlS7op38W96aNbD3DfzAZ7+v2cZ0W0Ebeq1sSr34M1jMRqN/LV7RQXlhetvHxdX2m0GS9bl2MO72TTjZfb8MIsG/YYWKarZMusN1r3/HB4hdXENqFli3YpJeRX7uZTKcbHMgTMn6ThhNP1eeZI5q5cw55nXCsqYtIl+r46n3bP307peIxrXrF1iO/8qZ/Eyl8l5qfVPXjjH7FW/8P3THzLvqfcJjzhJvuW8YWdnh4ezG0M/GMe7f85m1sPl74ZearZif8HVlCnO3dmVfi27cdMr99LphRE4V3NkSMe+5c5ZXGn77VJdOQLqtaB++37sWfEtANUcXQgO7cSi6Q/z57ujsa/mSJ3WvSos29W5utt9Rh/ewd8zJrLth+mE9rvbxpkuX1eLFCq1jJ3BjkY1G/PnlvmMnnkfWbnZPNBnTEGZ/634kiHTBrJq9wqGd7uroqNfMtulepuE1G1Di3YDWL/iyyJFTcybNZbZHwyjRnAovsWGPtlEqfuz9KLBddvQrN0ANq8wN0rVbdyFrIxkYqMqb26P69VV1W2LCU+/RpvmN3P82GkGD+lvtaxr9w6MHDWUaW/OsEnO0pR6tpM2tMtSpuvz51oljSrXKa31fqAO5saH5ZcvDcCnwGillPsVyq3APHRmJFB8EHppp6fiz11u/UuZoJTaC0wH7rYM9bkH+EVrbQL+xDw0CK11hmW732utc4pu5Cr2SfHhP1lF1j0NhGFusLkirfVbQHtglWWdUj+RKqUeVUrtVErtXLR0bmlFLsnL05/EpMJW96SkGDyLfTPj5elP86ZdqF7dCTdXTxo1aMP5yON4e/rj5elP/brNAWjf9mbOnbPt5H2pqbFWvUvc3QNITbv6SfZ27lrMrC/u56v/e4zMrFQSEs7bIqa510SRHg5+HgElJgOMS43Bz6NoGX+rMp0ad+NY5BGS0gt7M5yLO8Pz3zzJY5/dx5q9K4lKjKiQvLEpsQQUyevv6U9cqnWPpdjkWAKLlAnwKCxzMXdSehLrDq6jWUjTgnID2g+ge2h3Xvnp1QrJetH1to+Ly0lJwsmjsGOfo4cXOanJlyyfdOYYzt5+ODi7Wj2fn51F4qmj+DZsXmHZxtw8kNVTZ7F66ixikhMIKtIzJcjbl5gk6+EjiWkpeDi7YGcwv93X8PYlJtm8T9OzMwuG+fyzfwcOdvZ4u1q/RaRmZrD1yH56t2xPWdzfcwjLXvqaZS99TWxKPDW8Cr/trOHlS0yydX1ITE/B3dm1IGegpx+xll4KF5LjLrn+b1uWM+jdx7j742dJzkzjTKx51OeFpDhW7NkAwL6zRzBpE96uV9/V/v6ed7D85a9Y/vJXxKQkEFTk9QM9/UoM0ymev4anH7FXGMrTvUk7zidEk5ieQr7JyIo9G2lXv+Lmp8hMice5yHuGs4cPWaUM4fEMrEOnoU+x/vu3yc0yd90PbNCa9KQYcjJS0SYj5w9twa9WaIVluxrZKQk4eRT2rHHy8CE7NemS5RPOhOPiHUA1Gw91jU2Jteol51/a+a3Yedt8fosjNiWWuJRYDp83j4xee2ANjWqW7EW1as8KerWwzfDG9JRY3IoM93Rz9yO9lAlx/QLqc+vQF1nwwxSys1JLLM/JTuf86T3UbdTZJjmLSk+Js8rs6u5HRimZfQPqcfPQ51nyw0sFmWvUbk7dJl0ZO+kXbrv7NYLrtaX/iJdtnvl6MebBu1m99jdWr/2NmAtxBNUMLFgWFBRAzIW4S65rMplYvHAFtw8qbAwObdqQ6TPeYOz9z5CUlGLT7EXFp8biW+Sawtc9gMTUS2cXoqJJo8r1bTHmhogrDnPRWicDPwHjrlAuF9iFeQ6WP4otTgAK+t5ahhNZvatdYf1LmWFp5LhJa71RKdUSaAisVkqdwdzAMrJIeZPlpzRXvU9K8Q7moUVXdVxorU9qrb8EbgZaKaVK9KvWWn+ltW6vtW5/x8CxZQpTt3ZTYmLPERcfSX5+Htt3raZ1sYkC27TsyfGTezAa88nJzeb0mYPUCKyDh4cv3l4BRMecAeDwkR0E1bDtt0kRkYfx9amFl1cQdnb2tGrRj/AjG656fRcXc9Xy8AigWdPe7N2/8gprlM/RiMME+4QQ6BWEvZ09fVrdwpZw67lqthzeQP925pFkTWs1JyM7ncQiDUQ3t+7Pmn3W7WielvxKKe7v8xCLt11t9b+8w+cPE+IbQpC3Oe8trW9hw6GNVmXWH97I7e3Nk2I2r9Wc9Ox0EtIScKzmiHN1ZwAcqznSqVEnTlruhtClcWdG976fiXOfIycvh4p0ve3j4lIiT+PsG4CTly/Kzo7Alp2IDd9rVcbZu/AC3z2oFgY7e/Iy03FwccPe0dwJzmDvgE+DpmTEXaCifLtmacHEsit2bWV4t5sBaFu/CamZGcSmlPzQuTl8PwM7mOcaGdG9Lyt3bwXAr8j8K63rNcJgUCSmp+Lt5oG7swsAjg7VuKlZG05El62R8/v1CxnwziMMeOcRVu3bzLDOt5hfp24oaVkZxJXy4X7b0T3c1tY8vOvOzv1Zvc/cdfzv/Vsuub6PmycAQV7+3Nr6JhbvNM8xs2rfJro2bguYhwI52DmQmH71F/jfr1/E7dMe5fZpj7Jq7yaGde4HQJu6oaRll55/69G93H4xf5dbWLX/8l3foxJjaFO3KY4O1QHo1qQtJ6LPXXXGK0mIPI6bbxAuXgEY7Oyp3bIHEeFhVmWcPfzoMWoKW37/mLSEwo6lGclx+IY0wc6SLbB+K1LibNPQfSlJkSdx9Q3E2csPZWdHcMuuRBcbHuXiXfghyiOoLgY7e3Iz02yaK/z8YUJ8a1HDcn7r27ofGw9bv9dtPLSB2yznt2aW81tCWgKJaQnEJMdQyzLJavsGHQomqg32LZxEuHuzHpyNPWOT/NGRR/DyCcHDqwYGO3uatOzLiSPWddXNI4A7Rk1j2fypJBX5gsPJ2ZPqjubGY3v7atSu356ESpj8NSbyCJ4+wbh7BWKws6dRyz6cKpHZnwGjprJq/jSSEwob3Les+po5H4xg7vR7+OvXt4g4tZuVv0+zeebrxbdzfqVf77vo1/suViz/h+F3DQKgbbuWpKamERtTsvGqTt3CunpL/16cPH4GgJo1A/m/b2fw9LiXOHWycicFPhZxiCDfWgRYjsserfqzLXxdpWYQNza5pfL1bQ6QorU+oJTqdRXlP8Y88euV/t8/AtZrrROKdQVcBzyrlJpnaTwZA6wtw/pXayTwhta64L6qSqnTSqnaWusrnaXLuk8KaK2PKKUOY55sN+xyZZVSA4Dlll41DTEPdUouy+tdiZ2dPffdPZmPZz2NyWSke5fB1Ayqz9oN5g+SvXvcSVCNujRv2pXXpt2LQSlu6nYHwUENABh11yS+mvsaxvw8/Hxr8uADr13u5f41k8nI4qUf8ODoT1EGO3buWkxs7Ck6dhgGQNiOP3F19WH8E/OoXt0FrTXdut7DjE/vJicng1Ej38fZ2QOTMZ/FSz4gO9s2F8ZGk5FPFn3Ahw/NwmCw468dizgTc4rBncy3FV28/Q+2HdlEp8bd+HHyInJys3n/9zcK1q/u4Ei7Bp346M93rLZ7c+tbGdJlBAAbD67lr52LKyzvhws+5LNHPsVOGVi8YwmnYk5xZxfzfv1j659sDt9MtyZdWfjin2TnZfPmr+abcPm4evPhmA8B84SYK/esZOtR89j4yUOfx8G+Gp8/ar4518FzB3n3j/dKSVC+zNfTPi5Om0wcXvwD7cdORCkDEbs2kR4bRUjHXgCcD1tHQPN2BLXpijYaMeXnsveX2ebsbh60HP4QShnAoLhwYAdxR/fZJOeafTu4uVUHtnw4h6zcbCb8X2FX6++fe4tJ38wkJjmRab/O4ctxLzJ5+AMcPHuSn9ebJ30d2KE7D/QZQL7JSHZuLk98bv7/D/D04pNHJ2FQBgwGxZLtG/l772VPiZe19uA2ejfvxLq3fiArN4fJ371fsGzOk+/y4g/TiU1J4L2FX/HZQ6/y3KCHOHz+OL9tWX7F9b989E08XdzJNxp57ZdPSM00T1T5+5a/+OD+yax4dQ55+XlM+q78dXvtwe30bt6J9VN/ICs3m+fnFY48nTv+XV743pJ/wVd89vCrPDf4QQ6dP8Fvm/8CwM/di8VTZuPq6IzWmgf73Em/N8ey98wR/tq9nmUv/498o5FD50/w86aKm0hTm0zsXDybPmPfRCkDJ3f9TUrsORp2vBWA42EraNHnHqo5u9Nh8BOWdYys+GIiCRHHOHdwM7eNn4k2GUmKOsWJsIocInh1+fctnkO3sS+BMnB21zrSYiOoYxkidSbsb4Kad6JWmx6YLMfhjl9m2jyX0WTko4UfMPORTzEY7FgatpjTMacY2tl8Tl6w7U+2HNlM19Bu/P7iAnJys3n7t7cK1v940XTeGPkWDvYORCZEMs2ybNzt46nlVxutTVxIusAHf7xb6uv/W9pk5O8lHzN8zMcYlIEDu5eREHuaVh3NE9vvC1tE1z5jcHL2oN9g8z0OTCYj33/xMK5uPtw2/GUMBgMoA0cP/MOpoxU3H9flMq9bMpMhY6ajlIHDu5eTGHuGFh3NN4w8ELaYjn1G4+jsQe/BEwoy//KF7e8GVV4TJ04kLCyMpKQkevTowVNPPcWIESOqNNOa1Ru5ue9NbNmxzHxL5acLe7F+//PnTJrwBrEx8Xwy621c3VxRSnH40FFenPQ2ABOefxwvb0/e/cDcEyjfaOS2viNLfa2KZjIZ+XLx+7z94BcYlIFVOxdxLvYUt3c037R0edh8vFx9+GT8jzhXd8GkNUO6jeKxGXeSVWSS6BuKDI+qUEombbr+KKXStdauxZ7rBUzSWg9USo0B2mutx1tu9ZuutZ5uKfcxMEFrrYpuSylVB1iqtW5ebLsF27I8fh0YjrkR4STwuNY67mrXL+Vvscpnee40cJvW+kiR5z4GYrTW719inavZJx9ifUegcZjnfCnIrZRqBewBHtRaf2t5rsTfppT6BWgLZGKeXPdlrfVlu1ZsXpN6XR1sS9feXNURymxr3jU82PIS0o1XO43PtcHVzlZz3djOi3atqjpCmT0YEV3VEcqkukt2VUcoM8vb4HVlmrdLVUcoE2ecqzpCmX2QZ5uJpW1pWLXqVR2hTKpxfb3vATwzbf2VC11DgnxbVnWEMmv9yPVXL5a/u+f6eyOxCOh1x3X1ueSimHWLrsl9Lo0qQlQSaVSxPWlUsT1pVKkc0qhie9KoYnvSqFI5pFHF9qRRxfakUaVySaNKxZI5VYQQQgghhBBCCCHKQeZUEZVCKfUyljv4FPG71lpmCxNCCCGEEEKIynL9de6+pkmjiqgUlsYTaUARQgghhBBCCPGfIcN/hBBCCCGEEEIIIcpBGlWEEEIIIYQQQgghykGG/wghhBBCCCGEEDcKmVOlQklPFSGEEEIIIYQQQohykEYVIYQQQgghhBBCiHKQ4T9CCCGEEEIIIcSNwqSrOsF/ivRUEUIIIYQQQgghhCgHaVQRQgghhBBCCCGEKAdpVBFCCCGEEEIIIYQoB5lTRQghhBBCCCGEuEEouaVyhZKeKkIIIYQQQgghhBDlII0qQgghhBBCCCGEEOUgjSpCCCGEEEIIIYQQ5SBzqgghhBBCCCGEEDcKras6wX+KNKoIUUm69/Wo6ghlUuP+W6s6Qpm9FJJd1RHKbLVdUlVHKJOh1KjqCGX24IKIqo5QZrOH+lZ1hDL5XIdXdYQyG6WCqjpCmU3+JrKqI5SJcnKt6ghl9vwo56qOUGZzs3KqOkKZ9HLOrOoIZRbk27KqI5RJVPz+qo5QZg2e7FnVEYQoNxn+I4QQQgghhBBCCFEO0lNFCCGEEEIIIYS4UcgtlSuU9FQRQgghhBBCCCGEKAdpVBFCCCGEEEIIIYQoB2lUEUIIIYQQQgghxH+WUspbKbVaKXXc8q9XKWVClFJrlVLhSqlDSqlnrmbb0qgihBBCCCGEEELcIJRJX5c//9KLwBqtdUNgjeVxcfnAc1rrUKAz8KRSqumVNiyNKkIIIYQQQgghhPgvuwOYZ/l9HjCkeAGtdbTWerfl9zQgHKh5pQ1Lo4oQQgghhBBCCCGuaUqpR5VSO4v8PFqG1QO01tFgbjwB/K/wWnWANsD2K21YbqkshBBCCCGEEELcKPS/HkpTJbTWXwFfXWq5UupvILCURS+X5XWUUq7w/+zdd3gUZdfH8e9J6C30DgKKovQuRaSKBVGsIPb2KoKABexiV2xYsD72Xik2RFGwIk06iEgRKQk19Jac94+ZDZvN7iaBJDMD5/NcXM/uzGzyyzo7O3PPfZ+bz4Ahqro1u+2tUcUYY4wxxhhjjDGBpqrdY60TkWQRqaaqa0WkGh6OB5AAAJk4SURBVJASY7vCOA0q76nq5zn5vTb8xxhjjDHGGGOMMYez8cBl7uPLgHGRG4iIAK8Bi1T1qZz+YGtUMcYYY4wxxhhjzOHsUaCHiPwN9HCfIyLVReRrd5sOwCVAVxGZ7f47PbsfbMN/jDHGGGOMMcaYI8WhT08cOKq6EegWZfka4HT38S+A5PZnW08VY4wxxhhjjDHGmINgjSrGGGOMMcYYY4wxB8EaVYwxxhhjjDHGGGMOgtVUMcYYY4wxxhhjjhByBNZUyU/WqHKYEJE0YB7Of9NFwGWqujNi+XLgElXd4r7mFuBqYD+QBjypqm/H+PmTgWrALnfRg8AM4EtVbRS23Qhgu6o+ISJvuus/DVtfJ/I1cf6mN4GTgVQgHbhBVX931z0DnAfUAooAs4HzVXWeu34YUA+nqvNy4EFVvdtdVxFYC7ysqgPdzNcA68N+fWegGfAj0FtVv3Bf+yXwBDAYqAuUAiq5vwNggKr+lt3flhvPPPMMp59+Ojt37uTyyy/nzz//jLnts88+yxVXXEHp0qUBOPnkkxk3bhzLlzvxPv/8cx544IG8jAfAAxdfR9emrdm1Zw9DX32SeSv/ybJNrYpVePGG2yhbsjTzVy5l0EtPsC9tP+0aNOaNIfeyav06AL6e8RtPj3ufo6vW4KUbbs94fe3K1Xj883f437dj8zR77fqtOemMgUhCIgtnfMWsnz7ItP7Ypt1p0akvAPv27GLy+FFsXOf8fZfe8gH79uwkXdPR9DQ+fuG6PM0WS/P67bmm1zASEhL4bvoYPvvpjUzra1Sqw43n3sfR1Y/n3YnPM/aXAx/rQeeMoFWDTqTu2MSNz5xXIHlr1G9Jm17XIQkJ/D19AvN++iTT+npNu9Co0/kA7N+7i9/HPc/mdcspU7EGnfse2AdKla/G7O/fYeFvYwsk9wN3DKBrp9bs2r2HoXc8wbyFS7Ns8/zI22jaqD779qcxe+5iho14hv370+jZtR233ngZmq7sT0vj3kdeZNqsBfmWtVL9JjTudSmSkMDK6T+y9KcvMq2venxLGnQ/H9V0ND2d+V+9w6aVfwHQ7JxrqdKgOXt2bGXyM8PzLSNAq2Pbc12vW0lMSOCb6WP5eMobWba5/sxhtDmuA7v37ubJT+9l6ZrFAJzdvh+ntT4HEeGb6Z8z5tf3AahX9VgG9bmT4kWKk7x5DY99dCc79+zIl/zV67ekda9rkYQElk6fyPyIfblu08406uR8rvbt3c0f40azeZ1z/D2+w9nUb3UKirJl3Up+/exp0vfvy5ec4e5/6Fa6duvIrl27GXrjvcyftzjLNk88fQ9Nm54AIiz/ZyVDbryXnTt3cfQxdXj6mRE0atyAxx4ZzcsvvpPveQHuv/dGunY5kV279jD0lkeYv2BJlm2eG3U3TRofx779+5k9ZxG33fEE+/encd21felzdg8AEhMTqX/MUTRt0ZstqdvyLe9R9dtw8hmDkIQEFsz4ihk/vZ9p/XFNu9Oq00UA7N2zix/HP8WGdQe+J0US6DvgFXZsXc/4d24nv7VvcCLDzh5KQkICY6aO540fsv53HdbnJjoe347de/dwzwcPsHj1XxnrEiSB94e+QUrqem587ZZ8zwvQoH57zjn9FiQhkakzxzDppzczra9csQ4XnTOCmtUb8NV3o/nx1wN/08nt+3Niy7MBZW3yUt7/fAT79+8tkNwPPDycrt1Pcj5/g+5m3txFWbZ5ctQImjRriIiw7J+VDBl0Fzt37KLPeadzw6ArAdi5Yye33fogC6N8FgrK7bffzuTJk6lQoQJffvmlZzkA7j7/Rjo3bMuuvXsY/s4jLFj1d5Ztalaoyqgr76VsiTIsWLWEW956iH1p+2O+vlrZSjx+2Z1ULFMe1XQ+/OUL3pr8WUH/aSagbPjP4WOXqjZzGyv2AtdFWb4JuAFARK7DmUqqjbuuE9lXOu7v/qxm4Q0l+exWVW0G3Aa8DCAiCUAfYBXQSVV3A0OAF8RRA/g/IHRmsgzoFfYzzwcir26eDvvbmoUanoD/gDsjQ6lqHzfX1cDPYa/L0waV0047jfr161O/fn2uvfZaXnzxxZjbtmzZkrJly2ZZ/vPPP9O8eXOaN2+eLw0qXZu0pm6V6nS49SqGvfEsj1w+MOp2d154Ja9OGEvHYVezZcd2+p3cM2PdH0vm0+PugfS4eyBPj3NORv9ZtzpjWc97bmTXnt18MyNP315EEjj5zMF88dZtvP/M5RzbpBvlKh2VaZutm9cy5tUhfPjc1Uyf/A5dzr450/oxrw3lo+evKbAGlQRJ4P963859b97AwFHncFLTU6lVuV6mbbbvTOXVL0Yy9uesbaSTZo3nvjcHFEhWcN7jtr1v4Ls372bsqP+jbtPOJFWunWmbbZvXMeHVYYx/bgBzfvyA9n1uBGDrhtWMf34g458fyBejbyRt325WLszbfSCWrp1aU/eoGnQ49QqG3TuKR+65Mep2n385iZNOv4quva+lWLGiXHTeaQD8PPVPup99HT3OuZ6b7nySJx64Kf/CitCk9xVMfXMkP4y6lRpN21Oqco1Mm6z/Zz6Tn7uNKc/fwezPX6bpOddkrPt31k9MffOx/MvnSpAEbuh9G3e9MZBrnj6XLk1PpXbEvtv6uI7UqFCbK544i2fGPMigs+8A4KgqR3Na63O48YVLuO7ZC2nboBPVKzj70ZBz7+H1Cc9y3TMX8OuCHzmv02X5kt/Zl69n0pv3Mn7U9dRp2omkyrUybbN9czLfvnobXzw3kLk/fsCJfQYBULxMBRq0O5OvRg/hi2duQBISqNvk5HzJGa5rtw7UrVubjieexfBbHuSRkdEv2Efc/SQ9uvalR5cLWb16HVdcdSEAW7akcvedIwusMQWga+cTqVu3Jh07X8TwOx7nkYeif3bGjP2Ok7tdTPeel1OsWFH69XW+5l965UN6nn4VPU+/ikdHvsLUP+bka4OKSAKdzxzC2LeG8c4zl3Fsk26Uj/I98umrN/Lec1cybfLbdDs7c0NEs/bnsXn9ynzLGC5BErj9nFu44ZWhnPNYP05tcQr1qtTJtE3H49tRu2Itej98Pg988gh3njcs0/qLOl3I8pQVBZIXnPf4vDOH8/Lbg3j02XNp0fhUqlSqm2mbnbtS+eyrkfzwS+Z9Nal0JTq168tTL17MY89dgEgCLRr3pCB07d6RuvWOokObXgy76X4eefyuqNvde9fj9Oh8Pt1PPo/Vq9dy5VX9AFi1cjXn9r6C7iefx9NPvsLIp+4tkNyxnHPOOfzvf//zNAPAyQ3bUqdSTbqN6M9d7z/BfX2jHyOGnX0db/zwCd3v60/qzm2c3/6MuK/fn57GI5+P5tQHLuW8x6/n4k59OKbqUVF/tjGRrFHl8PQzcEyU5b8DoTPtO3B6VWwFUNVUVX2rgPIdjJ848Dd1AeYDLwL9AFR1Ak7vk0uBp4ERqrrZ3X4XsEhEWrnPLwQ+zuHvnQOkikiPQ/4LDsJZZ53F2287F8Z//PEHZcuWpWrVqlm2S0hI4PHHH2fYsGFZ1uW3ni1O5NNfJwEw65/FJJUoReWkclm263hCU76c/jMAn/zyPae2bJfj33FSw2asTFnL6o0peRPaVaVmA1I3rWHr5rWkp+3n77k/UO/4Dpm2WffvAvbs3g5A8r8LKZVUMU8z5Fb9mo1Yt3EVyZtXsz9tPz/P/ZY2x3fOtE3qjs0sXb2A/en7s7x+4YpZbN+5tYDSQsWax7Jt4xq2b15Hetp+ls+dQu3jT8y0zfp/F7HXfY/X/7uYEmWyvsfVjm7G1k1r2bElb/eBWHp2bc+n474DYNacxSSVKUnlSuWzbPfDT9MzHv857y+qVXGy79y5O2N5iRLFUM2/brblah7Djo3J7NycgqalsXru71Q9vmWmbdL27sl4nFi4GITl2bRiMXt3bs+3fCHH1WrEmo2rWOfuu5PnfEu7iH233fEn8/2fzh3QxavmUbJYacqXrkjtSnVZtGoee/btJj09jbnLZ9KhYRcAalY8innLZwLw59KpdGyYZbbEPFEhYl9eMfcnasXZlzf8+xcly1TIWJeQkEhi4SJIQgKFChdl59aN+ZIzXM9TO/PpJ877OWvmPJLKlKZy5ayfr+3bD/TsKVasaMb+unHDZubMXsi+fVmPJfnllFM68unn3wIw68+FlCldisqVKmTZ7ofJUzMez56ziGpVK2XZ5uze3Rg3/vv8CwtUqXk8qZtWZ3yPLJn7A/WO75hpm7Vh3yPr/l1AqaQDWUuVqUTd405k/oyCufPfqPYJrNrwH6s3rWF/2n6+/fM7OjfqlGmbzo068eWMrwGYt3IBpYuXomJp579B5aRKnHR8ez6fOr5A8gIcVbMRGzb+x8bNq0lL28+f876lccSxY/uOzaxavZD0KN97CQmJFC5clISERIoULk7qtvVZtskPPU/rwqcfO70GZ82cS1JSaSpXye7zd+D7Ysb0OaS6DYKzZsyhWvXKBZA6ttatW5OUlORpBoDuTToy5g/nGDF7xULKFC9FpTJZv59PPLY5E/6cAsCYP76lR5OOcV+/fuumjB4vO/bs4p/klVQpm/W4cthQDeY/n7JGlcOMiBQCTsMZ8hO+PBFnXu7xIlIaKK2qWcdoxPeeiMx2/2U9w8lfZ3Lgb+oHfACMAXqJSGF3+RDgIaCSqkbeVvsQ6CsiNXGGOq2JWD807G/7MWLdg0D02wv5rEaNGqxatSrj+X///UeNGjWybDdw4EDGjx/PunXrsqxr164ds2fP5uuvv+aEE07I84xVy1dgzaYNGc/XbNpA1fKZTxrKlypD6s4dpKWnA7B20waqljuwC7U85ni+e3A07958P8fWyNyLAeCsE09m7NQpeZ69ZJmKbEs9cJG+fet6SsZpNDmh1emsXDLtwAJVel/xOBcMeJmGrXvFfF1eqpBUmQ2pB/47b0xNpkIZb0+04imRVJEdqQdOYHekbqBEmdiHj/qterJ6yYwsy+s2OZnlc/J+H4ilapUKrFl3IPeadRuoWjl27kKFEjmvdzd+/OVA9lO7d+Cnr17j7Rcf4Ka7nsy3rMWSyrEr9cAF+u7UTRSPcoJZ9YRWdBn6BG0vu5XZn72Sb3liqVCmMutTkzOeb9iaTMWkzCesFZMqs37Lgf17g7t/r0j+h8Z1W1C6RBJFCxej9XEdqZTkNDCvTP4no3HmpMY9qFS2Sr7kL5FUgR2pB451O7PZl49pdQqrlziNPbu2bmTBL59z7rA3Of/2d9m7ewdrl8YeyplXqlarzJrVB97ztWtTqFot+kXCU6NGMHv+dxxTvw6vv/ZRvmeLpWqViqxZc+C4vHbdeqpWjX1cLlQokXP79GTylGmZlhcrVpTOJ7fl62/y97hRKsr3SLzG94atzmDFkj8ynnc6YyC/THgpXxtew1VOqsS6sMbp5C0pVI74HFYuE3ubW88eyqgvny+wvABJZSqxOex7b8vWFJJy+L2Xum09P/7yDvfe8jX3D5/Irj3b+Gvp1OxfmAecz9+B3GvWJFO1WvTcTz97P3MW/uh8/v73QZb1/S4+hx8n/ZpvWYOkSlJF1obtn+u2rM/S+FGuZBLbdm0nLT3N2WZzClXKVszx62uUr8oJNeszZ8XC/PozzGHGGlUOH8VFZDZOnZN/gdcilm8EygPf4QzzOZhvw/DhPxvj/Iy8/KZ93M1/LXCViBQBTgfGur1s/gBOAVDVNcAPOD1YIk3AGe7UD4h2thg+/KdL+ApV/RlARE7KbXgRuVZEZohI1qvEnL0+y7LIE5lq1apx/vnn89xzz2XZdtasWRx11FE0a9aM5557jrFjxx5MjPgZo4way3KyFefvmLfiH9oMvYwed93A6999weuD78m0XeHEQpzSvC1fTPs570LHyRWrFbxG3WYc3/J0fp9w4GL0s1cG8fHo/+OLt4bTuO3ZVK/TJO8zZhHlvczTj5x3qtZrQv1WpzBzwuuZlickFqLW8W1ZMT8f9oEYon/2Ym//yD2DmDpjHtNmzs9YNuH7X+l0xlVcOeg+ht2YP0NSHDnbJ9YtnMGPT9/CtHefokGP8/MxT3TRxpdmfU+jHytWrV/Ox1Pe5JErX+ShK0azfO0S0tw70k99NoIz213A8wPfo3jREuxPy586JdGOdbFUqdeEY1qdwqwJTs2YIsVKUev4E/n8iSv55JFLKFSkGHWbdcnmpxy6nL3njpuGjKBFk578vWQ5vc86JV9zxZOT771wDz9wE39Mm8O06XMzLe/RvQPTZ8zL16E/QIzvt+ib1qzbnIYtz+DXCS8DUPe4duzasYWUNQVXJyMnx7ao26CcdEIHNm/fzKL//sqyPn/lbp8IV7xYaRod35n7n+zFPY/1pGjh4rRsenpeB4wqN/vy0BvvoXmjbs7n7+zMw5Pad2xNv/59eOi+p/MlZ9Dk5H2Nd3qX3etLFC3O6Gvu58FPn2P77p2HFtYcMaxQ7eFjl1vjI+pyEUkCvsQp9vqsiOwQkXqquuwQfudGIHKcR3kOFG3NC7dGFLrtDSQB89yDYglgJ/CVu0m6+y8TVd0rIjOBm4GGOD1fcuMhnNoqueoDraqvAK+42XN0BjBgwACuucapdzB9+nRq1TowZr9mzZqsWZO5k03z5s055phjWLrUKaJZokQJ/v77b+rXr8+2bQdOJr/55hteeOEFKlSowMaNh9bt/PJuvejf+VQAZi9fQvWwninVy1ckeXPmn79pWypJJUqSmJBAWno61cpXJHnLJoBMX1g/zJ3OI4k3UL5UGTZtd4aodG3ainkr/mHD1i2HlDmaHanrKZ104K5RqTKV2BGlS36FKvXo2ucWvnjrNnbvOjB0Zsc2Z9tdO7awbOHPVKnZgDUr5mZ5fV7amJpMxaQDQ8AqJFVh09aC6cp8MHambqBk2F3QkkkVow57KFe1Du37DOH7N+9mz67MF0E1jm3FxjX/sHv7lnzNevlFZ9L/POdke/b8v6geNpygetWKJK+P/rm5acDFVChXlmH33hd1/R8z5nFUreqUL1uGTVvyfujV7tRNFE860GOiWFJ5dm/dHHP7TSsWU6J8ZYqUKM3enfl8wRlmw9YUKiUd6EVSsUwVNkbsuxtSk6lUtiq45SUqJlVhk9tV/9sZY/l2xlgArjhlIOu3Oj0wVq1fwR2vO3WCalSsTdvjct3+nSM7Ujdk6slWIsa+XLZqHdr3uZHv37wnY1+udkwztm9OZs8O57//vwt+o3Lt41k+O7Jj5KG77IoL6H9xHwBmz15A9RoH3vNq1SqTvC728SI9PZ3x4yZy/Q2X8fGHBTe847JL+nBRP6e335w5i6keNsyhWtVKJCdH/+wNHXw55SuUZfj/Ze1MetaZXRk3flL+BA6zPer3yIYs21WsUo9ufW5l3FvDMr5Hqh3ViLoN2lPn2LYkFipCkaIl6Xn+nXz7yUP5ljd5SwpVyx7IW6VsZdZHfA6TU6Nsk7qB7k27cnLDk+h4fHuKFCpCyWIleaj/CO58b0S+5QVI3ZpCubDvvbJlKrM1h0N4jj26LZs2r2bHzi0AzF34A3VrN2HmnK/zIyqXX3kh/S85Fwh9/g7krl69Svafv7ETuH7g5Xz0wTgAjj+hPk88PYKL+w5g8+bUfMkcBBd3OpsLOjjHiHkr/6Ja2P5ZtWwlUlIzf+Y2bU+ldPFSJCYkkpaeRtVylTO2WbdlfczXF0pIZPTV9zN++vdMnFNwN3JM8FlPlSOEqqYCNwK3uMNlHgFGi0gZABEpIyLX5vJnbgfWikg392eUB04FfsnT8Jn1A65W1TqqWgdnBp5TRKREDl77JDDc7WWTK6o6EacBqWluX5tbL7zwQkZh2bFjx3LppZcC0LZtW1JTU7MM8fn666+pVq0adevWpW7duuzcuZP69esDUKXKgZPp1q1bk5CQcMgNKgBvTvoyo4jshJm/c14Hp4ZBi6MbsHXnDlJSs17Q/bpoLr1aOxc753fszrezfgegUlj9lWb1jiUhQTIaVADOPrEzY6dOPuTM0SSvXkxShRqULleVhMRC1G/SleWLMxdCLZVUmdP63893nz7Clo3/ZSwvVLgYhYsUz3hc65hWbEzOy/bE6P5evYBqFWtTuVx1CiUW4qQmPZm2qOCGxeTWhtVLKFOxOqXKVSEhsRB1m5zMqkWZu16XTKpEl/538/Mnj7N14+osP6Ne084snzM537O++f4X9Djnenqccz0TJv3GeWc5pZRaNG3A1m07SFm/KctrLjrvVDp3bMmAWx7OdKerTu3qGY8bn3AMhQsXypcGFYAtq/+hZMWqlChXCUlMpEaTdiQvmplpm5LlDxwLkqrXISGxUIE2qAD89d8CalSsTRV33+3ctCdTF03OtM3URVPo3tw5cW5QqzE7d29n0zbnZDeppHOsqJRUlQ4NuzJ59oRMy0WEi7pcw5d/5E8d9Y2rl1C6Yo2MfblOk06sWvRHpm1KJlWic/87+eWTJ9m28UAD+I4t66lU6zgSCxcFoNrRTUldv4r88NYbH3NKt36c0q0f334zmfPOd97PFi0bs3XbdlJSsl7w16lzoPG+xymdWPp3/h/Lwr31zpiM4rITJv7Meec4d+pbND+Bbdt2kBKlQbPfhWdwcqc2DBx0X5a71KVLl+TEts349rv8PB1xJK9eTNkKNSnjfo8c26QryxZnHqZROqkyZ/R/gImfPpTpe+S3ia/y+sjzeeOJvnzz0f38t2xWvjaoACxYtYjalWpRvXw1CiUWomfzHkyJ6AU4Zf7P9GrlNDA3Pqoh23dvZ8O2jTz31Yv0vL83pz/Yh9veuZvpf8/I9wYVgH9XL6BihVqUL1edxMRCNG/ck/mLc/a9tyV1HUfVbEzhwsUAqH90G5LX59/+/ebrH9GjywX06HIBE77+gfMucO7htWjZhK1bt5GSHOXzV/fA5++Unp355+8VANSoUZX/vfk0Nw64g2X/FEwhY79696ex9H7kano/cjXfzfmZPm2dY0SzOiewbdcO1m/N+v38x5LZnNrcKQjep21Pvp/rfC4nzf015usfuXg4S9et5PUfclp6McDSNZj/fMp6qhxBVPVPEZkD9MUZIlMKmC4i+4B9OI0OuXUpTuNM6LX3RdRqeVlERrmPV+E0ihwnIv+FbTNUVTPPSxmF23DSE2dmn9DftENEfsHpeRJ3ELiqLiDrrD8ZGUTk4rDnZ0fZ5iFgXHY589LXX3/N6aefztKlS9m5cydXXHFFxrqvvvqKq6++mrVr18Z8/Xnnncf111/P/v372bVrF3379s3zjJPmTKdb09b89vjr7Nq7m6H/O9A99Z2b7+eW10aRvGUTD330Oi8OuI1h513K/JX/8MGUiQD0at2RS7uewf70NHbv3cv1ox/NeH3xIkU5qVFzhr3xbJ7nBtD0dH764lnOunwkIgksnPUNm1JW0LCNcxK0YNoXtO56KcVKlOHk3kPc1zhTJ5coVY7T+zuzKUlCIkvmfs+/f0+P9avyTHp6Gq+Mf5QRV7xIgiQwaeY4VqX8w6ltnGlcJ0z7lLKlKvDkDe9TomhJ0lU5s0N/Bo46h117dnDzhY/QqG4rypQsy2vDv+WD71/k+5lj8y2vpqczdfyL9LjiQUQSWTpzIltS/uW4Ns4J+1/TvqZp14soWqI07XrfkPE3fvnCYAASCxel2jHN+W1M/uwDsUyaMo1undrw27dvZkypHPLOyw9yy11Pkbx+E4/eO5j/1iTzxQfPAPD197/w9AvvccYpHTnvrO7s35fGrj17uP6m/LtQ0vR05o1/kxOvuA2RBP6dOZltKas5qo3T2Lly2iSqNWpDzeYnoWn7Sdu/j5kfHhgu2OLCgVSsezxFSpamx/Dn+Ov7z/h35uQ8z5mensbo8Y/x8JUvkCAJTJwxjpUpyzjD3Xe/mvYp0/76hdbHdeSNW8azZ99unvx0RMbr7+n/BKVLlCUtfT/Pj3+U7budRqEuTU/lzHbObDW/zv+BiTPz5zCt6elMG/8i3a94AJEEls78jtSUfzm2jTPj05Jp39Ckaz+KlihD294DMv7mr18Ywob//mLl/F/pNfAZ0tPT2LRmGUumfZMvOcNN+v4XunbryK9/jGPXrt3cNHhExrq333uWW2+6n5SUjYx67j5KlS6JiLBwwRJuH/YIAJUqVeCbie9SqnRJ0tOVa669iM4nnZepsGZe++HHqXTt0o5fpnzA7l17uOnWRw5kfmMktw5/jOSUjTzy0M38tzqZcWOcEb/fTPiJUc869fZP7XkSU36ezq5du6P+jryk6WlM/mIUZ1/+hPs98jWbUlbQuE1vAOZNG0+brpdRrEQSXXoPBZz94sMX/i/ej803aelpPPr5E7x47TMkJCQwbtqX/JO8nPPaOb2bPv19DD8v+o2Ox7fnizs+Zfe+3dz7wYOeZA1JT0/jsy8f47rLRpOQkMAfM8ezLmUZ7Vs7PUJ+m/4ZpUtV4Obr36VY0ZKoKie3v4hHnj2Plf/NZ86CSdwy4D3S09P4b+1f/Db98wLJPem7n+nW/SR+m/6VO6X53Rnr3vlgNLcMHUFK8gaeef5BSpUu5X7+/uK2W5z3e+it11GufFkeGelMQrk/LY3TuvcrkOzR3HTTTUybNo3NmzfTqVMnBg0axPnnF/xQ0skLptK54Yn8MOJ9Z0rkdw+cN/5vwGPc8d5IUlI3MnLsS4y68l5uOvMqFq5ayie/fxX39S2Pbkyftj1ZvPofxt/uzHL05PhXmbLgj6whjIkgBVloypgjWU6H//hFtUtO9TpCrt1RK/9PoPPadxmTVAVDH6p5HSHX7hiT5nWEXHupj7ezTOXWaF3kdYRc6y/Vs9/IZ25/LXYjuh9J8VJeR8i1W/vnvHaOX7yxa0/2G/lI5xJ7vY6Qax+/VHAzYOWFNRvydyhyfjjmhpO9jpBrS0dPCd4Bw1W9Yc9AXZeErFnwrS/fc+upYowxxhhjjDHGHCl8PJQmiKxRxWQiImNw6pSEG66q3+bj7xwNdIhY/IyqvpFfv9MYY4wxxhhjjDlU1qhiMlHVPh78zhsK+ncaY4wxxhhjjDGHymb/McYYY4wxxhhjjDkI1lPFGGOMMcYYY4w5QohNVpOnrKeKMcYYY4wxxhhjzEGwRhVjjDHGGGOMMcaYg2CNKsYYY4wxxhhjjDEHwWqqGGOMMcYYY4wxR4p0q6mSl6ynijHGGGOMMcYYY8xBsEYVY4wxxhhjjDHGmINgw3+MMcYYY4wxxpgjhaZ7neCwYj1VjDHGGGOMMcYYYw6CNaoYY4wxxhhjjDHGHARrVDHGGGOMMcYYY4w5CFZTxRhjjDHGGGOMOVLYlMp5ynqqGGOMMcYYY4wxxhwEa1QxxhhjjDHGGGOMOQiial1/jCkInYe3DNSHrbAEKi4AJRKCNz3czvRgtW0XC+B7/MdftbyOkGv1j17rdYRcKRrA/WKfitcRcu2veTW9jpArCUn7vY6Qa6fUW+11hFwrTrD25SISrLwA/6QF65xoydYyXkfItaWjp3gd4WAEb2d21ah3crB2atfqZVN8+Z4H62zeGGOMMcYYY4wxxiesUcUYY4wxxhhjjDHmIFijijHGGGOMMcYYY8xBsCmVjTHGGGOMMcaYI4TYlMp5ynqqGGOMMcYYY4wxxhwEa1QxxhhjjDHGGGOMOQjWqGKMMcYYY4wxxhhzEKymijHGGGOMMcYYc6TQdK8THFasp4oxxhhjjDHGGGPMQbBGFWOMMcYYY4wxxpiDYMN/jDHGGGOMMcaYI4VNqZynrKeKMcYYY4wxxhhjzEGwRhVjjDHGGGOMMcaYg2CNKsYYY4wxxhhjjDEHwWqqGGOMMcYYY4wxRwqbUjlPWU8VY4wxxhhjjDHGmINgPVVMYIhIBWCS+7QqkAasd583BeaEbf6hqj4qIpOBUqrayv0ZrYAnVLWziFwOtFLVgWG/YzJwi6rOEJEVwDZAgc3Apaq60t0uDZgX+fsO9W9sc2w7Bva+hURJ5KvpY3l/8ptZthnU+1ZOPK4Du/ft5tGPR/D3msXUqngU9/Z/JGObauVr8MZ3L/HpLx9wdLX63NTnDooXKcG6zWt48MO72Llnx6FGzdDq2PYMOPMWEiSRb6aP4aMpWTMPOPNW2hzXkT37dvP4J/eydM1iAPp06MdprfsgInw9bQxjfn0/0+vOO+kS/u+MoZx7f1e27tySZ5nDNa/fnmt6DSMhIYHvpo/hs5/eyLS+RqU63HjufRxd/Xjenfg8Y395G4CKSVUYcv6DlC1VAVXl2+mf8eVv70f7FXkuP9/z/NAi4j3+NOI9rlmpDoPd9/idic8zxn2PAW48ZwStG3QidccmBj5zXr5nfejKa+neoiW79u5h0HPPMG/5P1m2qV25Ci8PvZVypUszd9k/3PDsU+zbv5+kkiV55obB1Klald179zFk9DMsXvUvAGVKlOTpAYNoUPsoVJUho59hxpK/Dilr22PbMeSsW0iQBL6YNpZ3J7+VZZshvW+hXQPnePHQxyNYstr5naWKleK28+6mXtWjUVUe/uR+Fvw7j/v7P0ztSke525Rm++5tXD6q/yHlDNf62PYMdPfdr6eP4YMo++7AM2+l7XEd2b1vNyM/uZe/3X33vI79Ob312agqy9ct5bFPR7Bv/96M111w0iVcd8ZQzs7j40WbY9sxuLeT+cvpY3kvynF5sHtc3rNvNw9/PIIl7nH5vrDjcvXyNXjtu5f45JcPMpb17XQJN5wxhF73dSM1n45xD/3fNXRv3ZJde/Yw6KlnmPfPsizbXNnrdP7v7N7UrV6NBn0vZtPWbQCc2/lkBp1/DgA7du1m2OgXWbB8Rb7kfPCy/6Nbs1bs2ruHwS8+zbwVUT57larw0o3DKVuyFPNW/MPA0U+yL20/A3qdwzkdugBQKDGB+jVq0fDaiyhRtBjPDbiZSmXLoZrOO5Mm8L8J4/M8e+P67bn4DOcYN2XGGL6MOMZVq1iHa869j6OqH8+n3z3PN2HHuCdv+Zrde3aQrumkp+/n3hfy7vMWS8P67bngjFtJSEjglxlj+TYib5WKdbj83PuoVb0B4757nu9+eSdjXfFipbikz73UqOIcO97+/D6WrZqb75mPr9+ec0+/hYSERH6fOYbvfnozS+b+54ygZvUGfPndaH741clcueJRXHHhgdOzCuVq8PWkl5j8e8F8X4e0PLY9/9fLec+/nT6WT6Zk/R4cet59HFO9AW9NfJ7Pf34nxk/Ke3effyOdG7Zl1949DH/nERas+jvLNjUrVGXUlfdStkQZFqxawi1vPcS+tP0xX1+tbCUev+xOKpYpj2o6H/7yBW9N/qzA/iaA22+/ncmTJ1OhQgW+/PLLAv3d5shjjSomMFR1I9AMQERGANtV9Qn3+XZVbRbjpZVF5DRV/eYgfm0XVd0gIvcBdwHXuMt3xfl9ByVBEhh89m3c8r8BrE9N5qWB7/DrwimsTFmesU3b4zpQs2It+j9+NifUbsTQPrczYPRlrNqwkqufuSjj53x65zf8PP9HAG49925e/GoUc5bP4rRWvel78qW8PvHFPMs86KzhDH9tABtSk3l+4Lv8vmgK/4ZlbnNcB2pUrM3lT5zF8bUac+PZt3PjC5dRp8rRnNa6D4NGX8q+tH08csXzTFv8M6s3rgKgUlIVWtY/keTNa/Mka6z8/9f7du59/To2bk3miQHvMW3xFFalHLjo2L4zlVe/GMmJJ3TJ9Nq09DRe//pJlq1ZTPEiJXhy4AfMWTo102vzK3N+vef5lfe63rdzt/sePzXgPf6IeI+37UzllSjvMcCkWeP5auqHDD3/wXzLGNKtRUvqVatO24H/R8v6xzHy2us57fZbsmx39yWX8/KX4xj76888fu0A+nfrwZvffsOQcy9g/vJlXD7yYY6pUZNHr76O8+67C4CHrryGH/6cxVVPPErhQoUoXqToIWVNkARu7jOcIa/eQEpqMv8b9Da/LPyJFWH7QbsGzvHiwpF9aFi7Ebf0uZ1rn78ccBpb/ljyG3e9O5xCiYUoVrgYAPe8d0fG6wf2GsKO3dsPKWdk5sFnDefW15xj3IsD3+W3RVmPcTUq1uYSd98dcvbt3PDCZVQsU4k+7ftyxVPnsXf/Hu656FG6Nu3JtzO/APLveJEgCdx09m0MdY/Lr7rH5fD3+UT3uNzPPS7f3Od2/s89Ll8Zdlz+/M5v+Mk9LgNUTqpC6/ptWZePx7hurVpSr0Y12l59HS2PO5aRA6/ntKG3Ztlu2sJFfDdtBmMey/w5+zc5mbOG30Hq9h10bdWCJ268IerrDzlns1bUq1qddkOvocUxx/HYVTdw+t03Zdnurouu4OWvxzLu95947KobuKjLKbz1/de88OXnvPDl5wD0aNGG/zv9bLbs2E6RwoUZ8e7/mLfiH0oWK87Eh5/hp3l/smR13h3zRBK49MzbGfnGdWzamsx917/HrEVTWLM+7HtkVyrvfDmSllGOcQCPvHYN2/OpUS1a3n5n3saoN65n89Zkbr/+PeYumsLasLw7d6Xy4ZeP0SxK3gvPGMaCv3/jlQ9uJTGxEEXcY0d+Zz7/zOGMfmMAW7Ymc+t17zJv0RTWrT/wOdyxK5VPvxpJk+MzZ07ZsJLHRvfL+DkPDpvAnEU/UpASJIEBvW/jzteuZ8PWZEbd8B5TF2X9Hnzpi8doF2MfyS8nN2xLnUo16TaiP83qnMB9fW/ivMevz7LdsLOv440fPuGrmT9wf9+bOL/9Gbz/87iYr9+fnsYjn49mwaq/KVm0OGOHv8qvi2ewdN3KAvvbzjnnHC6++GKGDx9eYL8zUGz4T56y4T/mSPA4ToPIofgdqJEHWWJqUKshqzeuYu2m1exP288PcybS4YTOmbbp0PBkvp35FQAL/51PqeKlKF+6YqZtWhzThtUb/yN5yzoAalU6ijnLZwEw4+8/6NSoa55lPq5WI9Zs/I91bubJc76lfUTmdid05vtZzh2CRavmUap4acqXrkjtynVZvGoee/btJj09jbnLZ9Kh4YFs1/W6mVe/GYWieZY3Uv2ajVi3cRXJm538P8/9ljbHZ86fumMzS1cvYH/6/kzLN2/bwDL3DvquvTv5L2UZ5ctUzresIfn5nueH+jUbsTbsPf5p7re0jfIe/x3lPQZYsGIW23ZuzdeMIae1PpGPp/wAwMy//yKpZEkqly2XZbuOjZrwxe+/AvDR5Emc1uZEAI6tWYuf5zl3bJeu/o/alStTKakspYoX58QTGvHepIkA7Nu/n607D6232PG1GvLfhlWscfeDSXMmclLDkzPnPOFkJsz6GoAF/86ndPHSVChdgRJFS9K0XnO+mDYOgP1p+9kepfGka5PufDf720PKGa5BrUas3vhf2DEu677b/oTOfBdl3wVITEikaOGiJCQkUrRwcTZuXZ/xugG9bublfDheHB9xXJ40ZyIdIzJ3bHgyEyKOyxUijsstj2nDmrDjMsCgM2/iha+fQTX/jnGnndiGjyc5F5Az/1ri7NPlsu7T85ctZ1VKSpbl0xctJnW7s6/OXPwX1StUyJecPVueyMc/O5+9WUv/okyJ6J+9Dg2b8OUfvwDw8U+TOLXViVm26dP+ZMb8NgWAlC2bM3q87Ni9i79Xr6Jq+bz9G46u2YiUTatYv3k1aWn7mTr3W1pEHOO27djM8tULSEvLeowraHXdvBvcvDPmfkvTKHlXrl6YJW+xoiWpX6cFv84YA0Ba2n525WHDayxH1WzEho3/sdHNPHPetzSOyLx9x2b+Xb2QtCjfIyHHHd2GDZv+Y/OW/GvIjObYWo1Ys3EV60Lfg3O+pV2078H/sr7n+a17k46M+cM5zs9esZAyxUtRqUz5LNudeGxzJvzpfK7G/PEtPZp0jPv69Vs3ZfR42bFnF/8kr6RK2UoF8SdlaN26NUlJSQX6O82RyxpVzOGiuIjMDvt3Ydi634E9InIozf+nAmNz+PsOSqWkyqzfkpzxfH1qMpWSMn8BVSpTmfWp4dukUKlM5m26Nj2FH8IuhJYn/0OHE5yLrc5NulO5bJVDjZqhYplKrE89cJGwITWFihENCxXLVCYl7O9ytqnEinX/0LhOC0qXSKJo4WK0Oa4jldxs7Y7vxMatKSxbm7ULal6qkFSZDWH5N6YmU+EgGkYql61OveoNWLJqXvYbH6L8es/zS169xwWhavkKrNmwIeP5mo0bqRZxEVm+dBm27thOWnp6xjahi7QFK5ZzxontAGh+TH1qVqpMtQoVqFOlKhu3pvLswCFMenwUT10/iBJFD62nSqWkyqSEHQtSUlOoFPG+VkqqRErYRXzKlmQqJVWmRvkabNm+hTsvuJc3Br/HbefdldFTJaRp3eZs3r6J/zbk3R39imUqkRKx70Zmjtx317v77oat6/n453f48Lav+fSOiezYvY0Zf08FoP3xndiQT8eLSkmReZKpGOW4nJKaNXO4bk1P4fuw43KH4zuxPnU9/+TzMa5qxQqsWR+2T2/YQLWKB9eo0P+UHkyaOSuvomVSrXwF1mw80Ei2dtMGqpWP9tnbkfHZW7sx6zbFixSlS9OWfPXHr1l+R62KlWlUpx6zlh7asLtI5cpUZmPYfr1pazLlknJxjFNl2BUvct+A9+nc+tw8zRZN2TKV2Ry2v27emkzZpJxd7FYsX4NtOzdz2bn3cecNH3BJn3sKpKdK2TKV2Bz2Hm/ZmkLZg/geadG4JzPn5l1DcU5VKFOZDWHv+YatyVTI4Xue36okVWTtlgMNquu2rM/S+FGuZBLbdm0nLT3N2WZzClXKVszx62uUr8oJNeszZ8XC/PozjPGcNaqYw8UuVW0W9u+jiPUPkrW3Sqzbg+HLfxSRFKA7ED4AN7vfdxAka5AsdzCjbBMWt1BiITqccDKT532fsWzkJ/dzdrsLeHnQu5QoWoJ9+/cdetRQGomfx9km6+sU+Hf9cj6a8iaPXfUCD1/5PMvWLiEtPY2ihYvRr8tVvDnxpTzLGVv2+bNTrEhxhvd/gv999Ti78rBWTSz58Z7nJ8mD97igRH3fNAfvrbvNs2M+JalkKX544hmuPv1M5i1fRlpaGomJiTSpdzRvfvs13W4dws49uxnU59Dqw0SJkXU/iHFMSUxM5NgaxzHm90+54pn+7Nq7i0u6XJ5pux7NeuZpLxU4tH23VPHSdDihMxeN7MX5D/ekWJHidG92OkULF6N/vh4vov4Hj9giZ8flH93jctHCxbi061W89l3+H+Ni7QO51aFJYy46pTsPvJ61bk9eiLpvRMSMus9HbHNKizZM/2shW3Zk7j1Romgx/jf0Tu55+1W279p1iGkjRD8o5PjlD7xyOfeM7scTb91A97YXcFydFnkYLoroB48cSUwoRO1qDZjyxyc8NLofe/bu4tSTr8zTeNEd+n6cmFiIxg068ef87/IqVI7lZN/1SvTPXk6+93L2+hJFizP6mvt58NPn2L5756GFNcbHrKaKOSKo6g8i8gAQ3ld4IxDZv7g8sCHseRdgB/AmcD+QdZB3HCJyLXAtQP1TalO9WcWY265PTc7Ua6BSUhU2bN2QeZutyVRKCt+mcqZt2h7XgSWrF7N5+6aMZf+uX8Gtr90AQM2KtTmxQcfc/AlxrU9NoVJS1YznFZMqZ+qSH9qmctkqLFiZdZsJM8YxYYYzBOHKngNZn5pMtfI1qVq+Bi8P+dD5G8tU5sUb32Pg85eyefvGPMsOTq+JimH5KyRVYVNE/ngSEwpx20VPMmX210xd8EOeZoslP97z/LThEN/j/HblqadzcfeeAPy59G+qVzzwGa1eoQLrNm3KtP3GrVspU7IUiQkJpKWnU71CBZI3O9ts37WLwaOfydh2xov/Y2VKMiWKFmXNxg3M+nsJAF/8/is3HmKjSkpqCpXDjgWVkyqzIeJ9TUlNoXLZqoRqeFcuW4UNW9ej6uwjC1ctAGDy3ElcHNaokpiQyMmNunDls5ccUsZI61NTqByx70ZmDu27uPtuJXffbXlMW9ZuWk3qji0A/LzgBxoe1YR/1i6havkavBp2vHj5xvcYkEfHi/WpyZl690U7LqdsTc7038LJfGCbEyOOyzUq1KRa+eq8MfiDjO1fG/we1z53KZvyIPOVvU7n4p49APjz76VUrxS2T1esyLqNm2K9NKoT6hzF04NvoO8997N527ZDzhdyRY8z6N/1VABmL1tC9QoH7m5XK1+RdZszvxcbt22lTMmSGZ+9ahWybnNW+04ZQ39CCiUm8trQO/j81x/5evpveZY/ZHNqMhXC9uvyZaqwORfHuC3bnG237djMzIU/Uq9mI/5akT89ggC2pKZQLmx/LVemCltymHdzajKbt6aw4r/5AMya/z2nnnxFvuQMt2VrCuXC3uOyZSqTui133yMn1O/AqrWL2bYjd/t/XtiwNYWKYe95xTLefg9e3OlsLujQC4B5K/+iWtkDvX6qlq1ESmrmY9ym7amULl6KxIRE0tLTqFqucsY267asj/n6QgmJjL76fsZP/56Jc37O7z/L5JKm+6Rl7zBhPVXMkeQhYFjY8+lABxGpChkzAxUFMvV3V9VdwBDgUhHJOtA0DlV9RVVbqWqreA0qAH/9t5CaFWpRtVx1CiUWomvTU/htUeaTw98W/kTPlmcAcELtRuzYvZ1N2w58+XVr1pNJcyZkek3Zkk67kYhwSderGD8176qv//XfAmqEZe7ctCe/L8yc+feFU+jewvnyPr5W40yZQ9kqJVWlQ8Mu/DhnAiuSl3LBg9255LFeXPJYL9ZvTeH6Z/vneYMKwN+rF1CtYm0qu/lPatKTaRHveTyDzrmXVeuXM/7Xd/M8Wyz58Z7np79XL6B6xdpUcfN2yuV7nN9en/A1XW8ZTNdbBvPNtKlccLJTY6Zl/ePYunMnKVs2Z3nNr/Pncma7DgBc2LkbE6b9ATgz/BQu5NyruLj7KUxduIDtu3aRsmULazZs4OjqTlmmTo2bsuS/QxtWs/i/hdSsWItq7vvarekp/LLwp0zb/LJwCqe2OB2AhrUbsX3XdjZu28im7RtJSU3OmOWnZf02rAgrmNjqmDasXL+C9alZa2wcWubM+27XKPvubwun0CPKvpu8ZR0n1G5MUXeoQYuj2/Dv+uUsT17KuQ9256LHenGRe7z4vzw8Xix2j8uZ3ueI/ffXhT9xathxefvu7WwMOy53jzguL1u3lN4P9OCCx87kgsfOZH1qClc90z9PGlQAXv/ya7oOGkrXQUP55vepXNDNGfna8rhj2bpjBymbs+7TsdSoVJE37rqdG54YxbLVa/IkX8gb331F99sH0f32QUyYMZULTnI+ey2OOY5tO3dE/ez9tmAevdo6NwYu6NSNb2f+kbGudPEStDu+Md/OnJrpNU9fO5i/16zi5a/H5mn+kGWrF1ClQm0qlqtOYmIhTmzSkz8X5+wYV6RwMYoVKZHxuNEx7fgveWm+5AxZsXoBlSvUpoKbt1WTnsxZPDlHr926fSObU9dRpaJz7GhwdBvW5nNxdoB/Vy+gUoVaGZlbNu7JvBy+xyEtm5zqydAfgCX/RXwPNu3J1EWTPckC8O5PY+n9yNX0fuRqvpvzM33aOjcWmtU5gW27drB+a9aGpz+WzObU5s5Q8j5te/L9XGeI3aS5v8Z8/SMXD2fpupW8/sPHBfFnGeMp66liDhfFRWR22PMJqnpb+Aaq+rWIrA97niwig4GvRSQB2A70U81aDltV14rIB8ANwAM5+X25lZaexjPjRvL4Vc+TkJDIN9PHsSJ5Gb3bOmOsx//xGVMX/0Lb4zrw3rBx7Nm7m8c+GZHx+qKFi9HymLY8+fnDmX5ut2ancna78wH4ef6PfDMj76aTTE9P4/nxj/HIlaOdaQJnjGdlyjJ6uZm//OMzpv31C20bdOStW8exZ99ungjLfM/FT1CmRBL70/fz/LjH2L4r7+6C5jT/K+MfZcQVL5IgCUyaOY5VKf9wahunF8GEaZ9StlQFnrzhfUoULUm6Kmd26M/AUedQp2p9urQ4kxVrl/D0QGf017sTn2Pmkl/yPXOQ3vP09DReGv8o97nv8fczx/FvlPf46bD3uHeH/gwYdQ679uzglgsfoXHdVpQpWZY3hn/L+9+/yHczx+ZL1u9nzaB7i1ZMG/0KO/fsydTr5P0772XoC8+RvHkTD7z7Ji8PHcbt/S5m3vJlGQVoj61Zk+dvvIm09HSWrPqXIS88m/H6O157mRcH30yRwoVYmZzMjc+POqSsaelpPD3ucZ66+jkSExL5cvp4licv4+wTnf1g7NTP+H3xr7Rr0IGPh49l997dPPzJfRmvf3rs49zb7wEKJRZmzcbVmdZ1b3YK38+eeEj5oklPT+O58Y/x2JWjSUxI4JsZ41mRsowz3X33iz8+4w9333331nHulMojAFi8aj5T5k3i5UHvkZaextI1f/HlH5/necZIzvs8kifd4/JX7nH5LDfzuD8+4/fFv3DicR34cNg4du/dzSMRx+VWx7Tl8YjjckH5fvpMurduxbTXXnL26aefy1j3/n13M/SZ0SRv2sTVvXsx8Lw+VC5Xjsmjn+X7GTO56ZnnufmivpQrXZrHBvwfAPvT0zll8M15n/PP6XRr1oqpo/7Hrj17GPLy0xnr3hs2gptefdb57H3wBi8PGsZtF1zC/BXLeP/HAxfJp7duz5S5s9i5Z0/GsjbHncD5nbqx8N/lfP+I87c/8tFbTJo9I8+yp6en8fYXjzLs8hcRSeCnWeNYnfIPXdxj3I/TPiWpVAXuG/A+xd1jXM/2/bntmXMoXaIsg/s/BUBCQiF+n/sN8/7O+940kXk//OIxBl/+AgmSwK+zxrE2ZRmd3Lw/TfuUMqUqcMeA9yhWtCSqSrf2/RnxzLns3rODD798jKsueJjExEJs2LSatz67N1/zhjJ/8uVjDLhsNJKQwNSZ41mXsowObg2aX6d/RulSFbj1+nczMndufxEPP3seu/fsoHDhYjQ4pi0fjnso37PGyv/i+Md48ErnPZ84Yxz/pizjdPc9/3rap5QrVYFnBr6X8T14dof+/N/T5+b7sOLJC6bSueGJ/DDifWdK5HcPTD/9vwGPccd7I0lJ3cjIsS8x6sp7uenMq1i4aimf/P5V3Ne3PLoxfdr2ZPHqfxh/+/8AeHL8q0xZ8EfWEPnkpptuYtq0aWzevJlOnToxaNAgzj///AL7/ebIIvlZdd4Yc0Dn4S0D9WErLIGKC0CJhOBND7czPVgdBosF8D3+469aXkfItfpHF+zsFIeqaAD3i30ardKBv/01r6bXEXIlIcn72W5y65R6q72OkGvFo1bt8K8i0Yp0+Nw/acE6J1qytYzXEXJt6Wj/9GLNheDtzK4a1doEa6d2rV47zZfvufVUMcYYY4wxxhhjjhRZO+abQxCsW6TGGGOMMcYYY4wxPmGNKsYYY4wxxhhjjDEHwYb/GGOMMcYYY4wxRwob/pOnrKeKMcYYY4wxxhhjzEGwRhVjjDHGGGOMMcaYg2CNKsYYY4wxxhhjjDEHwWqqGGOMMcYYY4wxR4p0q6mSl6ynijHGGGOMMcYYY8xBsEYVY4wxxhhjjDHGmINgjSrGGGOMMcYYY4wxB8FqqhhjjDHGGGOMMUcIVaupkpesp4oxxhhjjDHGGGPMQbBGFWOMMcYYY4wxxpiDYMN/jDHGGGOMMcaYI4UN/8lT1lPFGGOMMcYYY4wx5iBYo4oxxhhjjDHGGGPMQbBGFWOMMcYYY4wxxpiDIKrqdQZjzCEQkWtV9RWvc+RG0DIHLS9Y5oIQtLxgmQtC0PKCZS4IQcsLwcsctLxgmQtC0PIWlOrlTwhkI8CaTQvF6wzRWE8VY4LvWq8DHISgZQ5aXrDMBSFoecEyF4Sg5QXLXBCClheClzloecEyF4Sg5TUBZI0qxhhjjDHGGGOMMQfBplQ2xhhjjDHGGGOOEGpTKucp66liTPAFcZxo0DIHLS9Y5oIQtLxgmQtC0PKCZS4IQcsLwcsctLxgmQtC0PKaALJCtcYYY4wxxhhjzBGiWrkGgWwEWLt5sRWqNcYYY4wxxhhjjDlcWE0VY4wxxhhjjDHmSGE1VfKU9VQxxhhjjDHGGGOMOQjWqGKMyVcicqLXGQ6FiBQWkeYiUtnrLMY7IlImzrraBZklp+JlNnlHRC7wOkNuHE77hYgEsse1H3OLyECvMxypRKSciPiyTkSQzuFEZFjY4/Mj1j1c8InMkcQaVYwJEBHpGva4bsS6cwo+UY68KCIvi0hZr4PkhIi8JCIN3cdJwBzgbeBPEennabgYROQaEanvPhYReUNEtorIXBFp4XW+aETkKPf9DT3vIiLPiMhNIlLEy2wxTA49EJFJEevGFmiSnPtTRPp6HSI3RORrEanjdY5culREJohIPa+D5FCg9gsR+UJEjoqyvDswu+AT5UwAc1/pdYDcCOB3CAAico+INHAfFxWRH4F/gGR33/CbF7wOkAvhx7XbI9adWpBBzJHHGlWMCZYnwh5/FrHuroIMkgstgUXANBG5xOswOXCSqi5wH18BLFHVxjh/x7DYL/PUYGCF+7gf0ASoC9wEPONRpux8DJQEEJFmwCfAv0BT/HkSF34XsXycdX7SFbhQRL4TkWO8DpNDbwITReROESnsdZicUNVewEvAVyJyt4hUFJHyoX9e54siaPvFh8CPoX1CRKqLyMfAg8BlHmeLJ6i5gyJo3yEhFwJ/uY9D+0El4GTAelMcGonxONrzI55qeiD/+ZXvuh8aY+IK3BeGOkfAUSIyEfhdRF4AFCevqqrfuqLvDXvcA+dEDVVd59PeuQD7VXWf+7gX8LaqbgS+F5GRHuaKp7iqrnEfXwy8rqpPikgC/ryLqzEeR3vuC6q6EugjIqcCv4rIdCA9bH1vz8LFoKofi8hXwD3ADBF5h8yZn/IsXByqOlZElgM/AVdxYJ9QwFc9WIK2X6jqeyLyJTASp4G+MPAQ8Kqq+vKzB4HM3UREtkZZ7tfv6qB9h4TsDfvv3xP4UFXTgEV+HBYG1BOR8bFW+ux4EbjvaXP48OOH1xgTWyC/METkKuA24E5gtE9PKEO2iEgvYDXQAecCKTQGvriXweJIF5FqwGagG86Je4hfM4e3UHXF7aqrquk+bbyqLCI34eQOPcZ9Xsm7WPGJyHE4Pax+BkYTdvHsY/uAHUBRoDQ+zywiRXF6Cp4H9FfVLz2OlK0A7hcnAG2AaUAroArOOey+eC/ygSDlnqeqzb0OkQtB+w4J2SMijYBkoAtwS9i6Et5Eims98KTXIXKoqdswKEDxsEZCAYp5F8scCaxRxZhgCd0xEDLfPRCc4R6+IyK/4QxNOUlV13kcJyf+D3gWqAoMCcvcDfjKs1Tx3QPMABKB8aHhSyJyMrDMy2Bx/OB2hV8LlAN+AHAbh/bGe6FHXsW5wI98DPC/go+TPRF5FOgN3Kyq33idJyfc3hNPAeOBFqq60+NIOTEXZzhmC1Xd5XWY7ARtvxCR/wEtgAGq+ruIlATuA+aIyBBVnehtwuiCmjtAfgzYd0jIYOBTnMb4p1V1OYCInA786WWwGLar6hSvQ+SEqiZ6nSFI/DyUJojE3zeMjTHh3IvkmPz4xSciZwJTVXV9xPLKwFZV3e1NssOL25OmtKpuDltWEuc4v927ZNGJcyvxQqAa8LGqrnaXNwcqq+q3XuY7HIjIQ8D9qrrH6yw5JSI/A/+nqgu9zpJTItIJ2BCZWZyC1ymRxz6vBW2/EJGhwLPuEInw5Y2BF1T1JG+SxRe03CJyh6oGpqZHUL9DROQcVf3c6xw5JSKfq6pfJ0LIEXEmSrhBVR/KbtsjSZUy9QLZCJC8dZkvu6JZo4oxASIilYBKQTl5BxCRV4AJkScRItIf6Kiq13uTLDoR+VhVL3AfP6aqw8PWTVTVU7xLF52IDFPVke7j81X1k7B1D6vqHd6li05EGqjqYvdx0fALPBE5UVWnepcuK7c2zTJVfSli+VCgavh+4hcicjOwRVVfi1g+CEhU1VGeBIvD7alSSlU/jVjeH+cY9503yWITkQ+BFyMbtUWkJ3CZql7kTbLogrhfxCIiR7k1YgLFj7lF5DniDCNW1RsLME62/Pp9nB0RmaWqvpyVLxr3Zl68/eKnAowTl4jUAu4GquPMyvc+8ABwKfC+qg72Lp3/WKNK3rJGFWMCJGgn7wAislBVT4ixboGqNizoTPGIyJ+hceWRJz/h6/wkPGeUzL48gQtaZhFZCDTSiP6yblHEuarayJtksYnIfJwhKXsjlhcFpqtqE2+SxSYiU4Ezo/RsqwqMUdV23iSLLd5xTETm+23fCOh+0Q6oAfykqiki0gSnTtdJqlrL23SxBSm3iMSdkUhV3yqoLDnh1+/j7Pjx+y0eEfkiymLFmWWppp+G3IgzPfUU4HecKZS7AQuAoQEZfl6grFElb1lNFWOCpXG0IT6q+q2I+LWQWLyDnx+ndY/3JePXL6DAzQpF8DJrZIOKuzBd/FsVUSMvnN2Fe3ycuUS0HnfqzL5V0otAORBv6mc/TgsdqP1CRB7HmdVsNjBcnBl1BuBMP3ulh9HiClpuvzWa5ECSiMQcluLjITYNRGRulOWhWZZ81aipqmeGPxeRjjiTDqwFBnoSKrbyqjrCffytiCQDrYMy1LHAWU2VPGWNKsYES9BO3gFSRKSNqk4LXygirXGqyvtNCXdMdgJO9fjmOCc7gn9n0gnirFBBy7xTROqr6t/hC0WkPuDb4qQiUkVVkyOXeZUnB4qJSCFV3R++UEQK49/P398icrqqfh2+UEROw6eFogO2X5wBNFfV3SJSDlgDNIn8LPpQoHJLnGlzwXdT5wIk4TRaRWsIVMCvjSrLgTOz3cpnRKQbztAaBR7241BMAPezFton1uGc05UEUNVNngUzhz1rVDEmWAJ38g7cCnwsIm8CM91lrXDGuPb1KlQc63BmH4l8HHruR0GcRrCmiDyLkzH0GPd5De9ixXQP8I2IPEjm/fh2YIhXobLxOPCVW0NjlrusJTASeMKzVPF9DrwqIgNVdQdkFFx+Fv9eJA0FvhSRC8i8b7TDuejzm6DtF7tCBc1VdbOI/OXXhokIQcvdDlgFfAD8gT97DIZbqaq+6/GTA3v9Vk8nHhE5A6dnSipwp6r+6nGkeJJwjsHh+27oGKdAvQJPZI4YVlPFmAARkWOBL4HfiHLyrqpLvMoWj3sHdAAQqi2wAHheVVO8S2W8FLTx+wAi0ginkTB8P35cVed5lyo+t8H1Ng5kng88qj6dSlecWaweBK4GVuKcHNcCXgPuVtV9HsaLya1HchGZ94331aezmwVpvxCRLUB4McxO4c992IMCCF5uEUkEegD9gCbAV8AHqrrA02AxBLimyvOq6rdhMzGJSDrwHzCHKL1I/bYfm5yrXKp2IBsBUrb/68sGX2tUMSZggnbyHjTusKRVoaJmInIpcC7OBd4IP3YfFZESwL7QBaeIHAecDqxQ1TGehssFt9vuFrUvpiOeiBQHjnGfLlVV3w6xMvnLnX0kpmh1xvwgqLkh4zyjH06vpvtV9TmPI2UhIg392uATj3tDId5sOm8XYJxsBWk/FpHIAsCKM939Ki/y+J01quQta1QxxuQrtxp7rAONqmq3gsyTHRGZBXRX1U0i0gn4EBgENAOOV9XzvMwXjYj8BFylqn+LyDHANOA94ASc2Txu8zRgFCJyD/Cxqi52T+C/wXmP9wMXqer3XuaLJCJvEH8/vqog8+SE+x7Hoqr6QIGFySH3MxeT+mj6zhARWU78fePogsyTnaDtFyLypqpe7nWO3ApibvdYfAZOg0odYDzwuqqu9jJXNFE+dxL23HefuxBxpq7OshinzkoNVfVVaQYRKaOqW2Osq62q/xZ0pljc881I5YEiQD9VnV2wifzNGlXylq8+uMaY+IJ28u66JcqyE4FhgB+H/ySG9Ua5EHhFVT8DPhOR2d7Fiqtc2Fj9y3C6bA8SkSI4w8R816iC896GLt4uwzmprAQcC7wF+KpRBWfYXaTaOPVUfDOlZIQdUZaVBK4CKnDg/feTW6Msy5i+E3++160inicAF+Ac+/4s+DjZCtp+4avZUHIhULlF5C2cHrDfAPep6nyPI2UnaJ87AFR1UOixO9tWf2A4MBV4yKtccUwGWgCIyKSIG2FjQ+v8QFW7RFsuIq1w6nLFbbQ35lBYo4oxwRK4kwhVDdV+CXUjvRsoClznx/H7QGLY7CPdgGvD1vn1mBne0NYVp8s2qrrXHQ/tR3vDhvn0BD5U1TRgkVtXw1fchjUARKQecAfOCdqjOPU+fEdVM6ZZF5HSwGDgCpzeV76cgj1g03cCoKobAUQkAbgEp2FoNnCGqi70MFpUAdwvQjOyRb07qaqzoi33gaDlvgSnwe1Y4Maw2bVDU/2W8SpYNEH73IVzv+MuB27GKQp8nqr+5Wmo2ML33/Jx1vmWqs4QkVJe5/AbtSmV85TvTlyNMbEF9SRCRHriNKbsBh5S1WhdNP3iA2CKiGzAmSr3ZwB3WE2ql8HimCsiTwCrcepQTAQQkbJehsrGHrfwazLQhcw9mkp4Eyk+ETke5wK/OU7D1XWRU//6jYiUB27CuRv6FtBCVTd7myp7QZm+EzKme74SZxagX4CzVPUfb1PFF7D9ogZOY0+sqXO7FmycHAtUblVN8DpDbgTxcwcgIjfgNGROAk4NwExAGuNxtOe+5E6WEIisJrisUcWYAAniSYSITMcZ1vE48Lu7LKO7qN/u1qnqQyIyCagGTAzrTZGAT++UA9fgnKTVAU5R1Z3u8hPw5xSp4OT9FGffeFpVlwOIyOn4sNeViHyC01PsCZzPXxpQJnQ316cFjB8HzgFeARqr6naPI2UrYNN3hizHqQU0CvgXZ4rzpqGVquqrqaADuF8sVVVfNUDkUKByuw1tMfnwGBeoz12Y53CGPncEvojSI8hvw8Yqi8hNOPlCj+HAkF3fcOvVRDaelAfa45xzGJNvrFCtMQEiIv+R+SQiEz+eRIjIZOLXgfH9SaeIlAT64BQ6O8PrPDklIrWAvqr6uNdZckNEqqhqstc5wonICsKKIIYWh56rar0CD5UNd+jXHpxjRpaCjn7rzg/BnL5TRN4k/jHuygKMk62g7RcBnjo3ULnDarZF7Vnjt2Nc0D53ISJyVLz1fuu5IiL3xluvqvcVVJbsuDMrhVNgI07Bfj/W8PNUpZI1A9kIsH7Hf74cdmaNKsYESFBPIoLILfJ6Os701acCnwGfq+oXngbLhohUBM7Hmb2hBjBGVaMVC/YVEUnCmbr6IpxZlmp4HMl4IEjTd5qCISKnqOrEHGz3maqeWxCZciKouaMRkRp+nAEoiESkgaoudh8XVdU9YetOVNWp3qUzR5KKJaoHshFgw8411qhijMk/fry7DyAiw1R1pPv4fFX9JGzdw6p6h3fpshKRHjgNEj2BH4GPgOdUtY6XueJxi032wWmQOBYYA1yoqjU9DZYNESkO9MbJ3QIoDZwN/KQBqKAmIkcDfXF6MDXyOk8kEemqqj+4j+uGhli5z8/xac+2wEzfGSIio1R1iPt4sKo+E7bOd9PqBnG/yImg9QwJCUJuEflXVWt7nSNc0D53ISIyS1VbRD6O9twPROTZeOtV9caCypIdd0rleDceu8VYd0SyRpW8FaiiVMaYzEQkSUSuFJHvAV/VJgnTN+zx7RHrTi3IIDn0LXA00FFVL3Z7pvj9Aj8FZzrUh4CjVfVmYK+3keITkfeAJcApwPM49WA2q+pkPzeoiEg1ERkiItOABTi1yfp5HCuW8Ho6n0Wsu6sgg+TC5NADt7ZRuLEFmiTnwqfpjOx+7rf6CBDM/SInAnmBQDBy+/EiJmifuxCJ8Tjacz+4Dqf+yxpgBjAz4p+f3IIzgUP4v89wzul8NazRHH6sUK0xARPv7r6HseIJ2glES5yGoO9FZBnONKOJ3kbK1h04mV8E3heRjzzOkxONgM3AImCxqqaJiG8vLkTkGpzGk5rAx8DVwDg/jSePImifPQjm9J3x3mc/CuJ+Ybzlx2Nz0D53IUGbTacazpDiC3HqMH0EfObH2cJUNaORxx1KejdQFGemvm88C+ZTPr5/FUjWqGJMgLh39zvhTJn7PPADzgwDk73MlY1AnUCo6p84s88MF5EOOBfSRUTkG5z6JK94GjAKVX0aeFpE6uHkHQtUF5HhOJmXeJkvGlVtKiINcBoHvxeRFKC0iFRV1XUex4tmNM7sVRep6gwAPzcCuQL12XMFMXOCiJTD6f0behy6yPNjg2wQ3+OcCNKFdThf5I4xcwo4+coWbJocCdrnLqSmO6RGwh7jPvddLTFV3Qi8BLwkIjVwzjEWiMhwVX3H23RZiUhPnMaU3cBDqvqjx5HMEcJqqhgTICIyB+eL923gI1VdJSLL/FaVP5yIpAE7cHIXB0LT/QpQTFULe5Utp0QkAeiBM5POFV7nyQkRaYzTYHGBqh7tdZ7siEgrnLznAf+panuPI2USUQC4Ck5vlctVtZanweIQkS04PdgEOIkDvdkEZ3hbOY+ixeTOcPYUTsah7mPc50P8+H67M0OlE5xZU7YQoP0ip3V2cloY1isiUhinh97q8JlI/JI7yswpmajqWwWVJSeC9rkLCdr7HCIiLXC+/3rgDPt5UlUXepsqMxGZjjPN8+M4N0EyUVW/DpP3RIXiVQPZCLBx1zpfNERHskYVYwIm7O7+hTi1NBoAjX16dz9w3BOHmOxLOX+JiACd/DzLiztV9YU4J5glcHoD+argMgRzJp0gTd8ZVEHbLyIKe04KLzbpx8KeISLyEk6R8wXu7Ga/A2k4w9puUdUPPA14kETkOVUd5HUOUzBE5D6gF85Q3Q+BCaq639tU0YnIZOIXqu1agHF8zxpV8pY1qhgTYO7d/X44d9B9d3cfQEQi6yIosEV9evBxq8eHtCRzITZffimLyDZid9tWVfVdgbY4Xc0Bf80oACAizwPvq+pvEcuPw+nBZBf7R6goDbEKbFDVVV7kOdyEz44TOVOOn2fOEZEFqtrQfTwE6KyqZ4tIVeAbv+bOjl8asoJ6A0RExsdbr6q9CypLTohIOrAM2OUuCn1vh84v/FwU2MRRvnhlX56HZ2fTrhRfNqpYTRVjAsyt7TBDRG4FhnmdJ4aZOF/C4QfB0iIyG7haVVd4ESoWVe0SeuyesHeJt70fqGrp0GM/X2REmBH2+D4gbg8FH/gbeFJEquEU6vtAVWer6l84+X1HROaRtX7GBpypwp9Q1d2eBIsjyvSdGZlV9RcPIuXEk1GWlReRIjjTbc8u4DxxBXC/CGoNmPAZ2HoAnwCo6jqnQ545RDNwZmBb7z4Pf1MV8N0NEFc7YBXwAfAHPqmpE0ddrwPklIgMU9WR7uPzVfWTsHUP+7FHqTl8WE8VYw4TIvKvqtb2OkdOicg5wLWq6sdplQH/3JHLjYBmDkpDECJyFM5MS32BYjgnxh+o6t+eBovCzRqpPM70oyVV9ZoCjpStGPUGygMX4NSRGlWwiQ6e25PwKVXtlO3GBSho+0UQ6+xARq/HJ4HVOA1WDdwGlULAfFVt4GnAg+SX7xgRGQqcC6TiDEsZo6rbvU2VPRFJxGlk64cz9fNXON8hCzwNFoOIvADcFquukZ9EDBXMtJ/6Zb/1E+upkresUcWYw4SIrPLryWUsfv+S83u+aCxzwRGR5sDrQBNV9fNsE1kEqSELCE0l/1uQMkPw9m0/7hdBrbMjIscCzwJVgVGq+qa7vCdwiqre7GG8g+a3fURE6uI0UJwFrAQe9lvvsFhEpChO9seB+1X1OY8jZSEiw4BrgHtV9X2v88QT1KGCXilXrGIgGwE2797gy0YVG/5jzOEjUAdHESmFMxWir0TU+gif7hDwX60PyOj1E1I24jmq+nkBRzpsuTN4nIrTU6UbMAWfDv/Jhu8+e/Go6q6gDZkQkSoE7LiMD/cLvzaaZEedqeyz9MRU1W+Bbws+UXy5GB7xTL6HyQVVXS4i43BmF7wEOBaY7WmobLiNKWfgNKjUwWl88+X3tKqOFJH3gKdE5CrgRZxZl0Lr/ZQ7qEMFzWHAGlWMCRAR+YLYBUkrFHCcHBGRm6IsLgf0Bp4v4Dg5EV7rY2bMrfzlzLDHUyKeKz48WYsorltCREJdi31ZXFdEQt21e+GMg/8QZ/jaDk+DxRGjkGM54GIOTKPre+5wiUuA/7zOEk2MosvlgfbA4IJPFF/Q9gsRGQksU9WXIpYPBaqq6nBvksUnIh+r6gXu48fCc4rIRFU9xbt0UZ0KZNuoEupx4zURqYfTuH0WTo2SD4GHfFgTKBMReQtnau1vgPtUdb7HkbKlqqtF5CvgIZzzi1Cjit/OL5q55xICFI84ryjmXSxzJLDhP8YESNCmwoSoXbcV2Aj8pKrzPIgUl4gUA0qr6vqI5ZWBrX4/YTP5w62P8AHwqapu8jpPTkTMZAUHPnuTgVdUdV+Bh8pGWGNbeLeUnTiNhUNUdY0nweKIUgcm9D5PV9UUDyLFFbT9QkQWAo1UNT1ieQIwV1UbeZMsvoihCJH1HXw3FEFE5gCdiVE41W/HPXdWmrnAOGArEQ2bqvpUtNd5zc0daowPz+zXGwoNcXqnrAGGqupajyPF5MfPlZ/Z8J+8ZT1VjAmQWI0mIlIL546N7xpVwrtui0gZd5mfC549C0wg692XHkBH4PoCT5QNtzdQqqq+FrF8EJDox+KeItIaqKiq30QsPxNYo6q+6iWkql3cHhOniUiowOQiYIKq7vcwWkxBmLkqUvhMVkGhqm8BiEgJ4Bh38V+quse7VLEFcL/QyAYVd2G6+HtMWLwLFj9ezDTA6Z0Z7T1VoF7BxsnW/Rx4H0t5GSQ3VNV3Q+yy8SlOg3amIWvuDagzw2fY8QE/fq58K8ph9bAnIuVxZnCsA6wALlDVzTG2TcTpvb5aVXtl97OtUcWYgBKRisD5OEMSagBjvE0Um4gMxpnyuZjzVDYA96jqhyJSS1VXeZswk46qem3kQlV9T0T8Oh3flUC0Lv2vANOBUQWaJmceBy6PsnwRTm5fTYcpItVxZvBYC/yJc+HRC2ea5S5+7EEBGcV0bwZOcBfNAEaq6lIRKeTHBiG3KG1/Mmf+VFX3xn6Vd9w6O4/jDFFagVOXpLKIPKeqj4pIc1X908uMkQK2X+wUkfqRM2yJSH1gl0eZcqKE+z4n4AxFaI5z3BCc+h9+szBgd/knqOpUr0Pkloh8DQxQ1RVeZ8mhZqEGYvci8xSc886ewM+4U4X7ROUYQ84B//ZeMgXqNmCS+918m/s81hDSwTjnpDnqPRa01lJjjmgiUlpELhWRCcA0nLui9VT1aFW9xeN4UYnICJwv35NUtYKqlscZu91fRIbjXKj6Sbw7n349Zmq0C073RMivd3IrRDupVNWl+LM+0MPAi6raWVWHquoQVT0ZGA084nG2qETkXJwT3h9wGrCuAKYCn4pIO/xZLLMxzknMSTgNFCtxjh+/ikhZEXnQw3ixPIlzp7yOqrZ0L0yPB+qJyIv4q+ZAEPeLe4BvRORyEWns/rsCZyraezzOFs86nOmfnwh7/GTYc3NoXhSRl0UkyesgufQmMFFE7nQbZH1NVfeISCcReQnnmHw1TsNKXVU9z9NwWSXiHItLx/hnzFnAW+7jt4Czo20kIjVxikn/L6c/2HqqGBMsKTiNKXcBv6iqikgfjzNlpz/QOLwWiaouE5ELgPXARZ4liy5FRNqo6rTwhe5wlfUxXuM5EamiqsmRy7zKkwPx7tSWLLAUOXeiql4euVBVnxWRvzzIkxP3At0jGq/miMgPwGKcizy/eRa4RlW/C18oIt2B+cACT1LFdzpQX8OK1KnqVhG5HtgAnOZZsugCtV+o6jcicjZwKzDIXbwAONePdblCVLWz1xlyyVez+uRAS+BGYLqIPKCq73gdKCdU9WO36Os9wAwReYfMs+n46vMnIv8B/+LUVblVVbeJyHJV3elxtGjWqur9Xocw+UtErgXCe5S/oqqv5PDlVUJ1gVR1rVsvMZpROD3sc9wYZ40qxgTLHTi1U14E3heRjzzOkxPp0Yq7qjNF6mpVHe9FqDhuBT4WkTc5MPtPK+BSnPfejx4HvhKRm4FZ7rKWwEicO6N+9L2IPATcFX4xKiL34dxB95t4wwz8eHIJUChGb6AVIrJSczZ9akGrFtmgAqCq34vIPsCPjcjp4ftwiKqmich6Hw5RCNx+4c6QElkQ2NfchvhVqrrOfX4pcC5O76sRfiv8CpwrIufEWqmqvQsyTHbcOjujRGQi8LuIvMCBIte+K/gaYR9OsdqiOBdtfi5u8RnO3fwLgTRxpq/2a+0Sv/bM9aWg1lRxG1BiNqKIyPdA1Sir7szJzxeRXkCKqs4Ukc45zWWNKsYEiKo+DTztTiXYDxgLVHeH0YxR1SVe5ovhPxHppqqTwheKSFdgtUeZYlLVaSLSFhjAgZofC4C26sOZPABU9W0RWY9TuK8RzgnPAuDeyEKwPnIzTrfKpSIy213WFKe2w9VehYojKcYFh5DD8bYe2CcitVX13/CFInIU4MsiqkCCiBSNLPLqFkXc59O7owtF5FJVfTt8oYhcjDOUyW8CtV+IyBvEvohTVb2qIPPkwstAdwAR6QQ8itPTphnOBYHfhk484XWA3BKRq3BqItwJjI7WuOk3InIqTm+w8UALnx7TMqjqYBEZAnTBOe98HCjj9jb+WlW3e5kvQjevAxjvqWr3WOtEJFlEqrm9VKrhjACI1AHoLSKn49SCLCMi76rqxfF+r02pbEzAuTUILsKpYH2013kiiTMd3zjgF5yeHwq0xj1oqepCD+PlmIj0AIapag+vs+SUiJQFblDVh7zOEovbQNjQfbrAHRp2lKqu9DJXJPfCLiZVvaKgsuSUO2RiJE49mPDP3m3AcFUd61m4GETkLuBEYGCoN4WI1MEZFjRdVR/wLl10IlIDp27KLjK/z8WBPqrqq8bjoO0Xbg2YSLWBITizm9Us2EQ5IyJzVLWp+3g0sF5VR7jPZ6tqMw/jxSUilQBU1c9DXn/DqfFxU6g3UNi6wuqzqcFDRORn4DpVXRCxvBbQV1Uf9yZZzrh1YE7FaWA5RVUrehzJHKSkImUD2QiQunfLQfdIEpHHgY1hhWrLq+qwONt3Bm7RHMz+Y40qxgScOLMAbfTzHRr3LvNFOBfPgtOL4r1ow4K85vageQmojtMT6GHgbZzcD6mqr4pOQsbJ2F0cmAXqA5xeK5cCH6jqYA/jxeQWxawB/KSqKSLSBOfC7iRVreVtupyLVs/GL0SkKU6voNBnbz7wpKrO8TRYHCIyEGcscwl30Q7gCVV9zrtU2XOPHRnHuMjeeX4SxP0CMhph7wA6AU8Dr6l/Z4WajzNzyn4RWQxcq6o/hdapaiNvE2YlIvfi9KYRnMLs+4Hn/FinQkR6hA8VFBHB6U1xEc5Uv36uKQZkmcWxJvC5+mzSARE5EafX1dHAPOBKVV3kriuuqn6egcvEUbpIkm+vG+LZtjf1UBpVKgAf4zTM/wucr6qbxJnh8X+qenrE9p2xRhVjDj/ul9ujwCbgAeAdoCLOyc+lqjrBw3hRiUgDVV3sPs7UrV9ETvRbvQER+RMYCvyOU2DybeBuVfVtET8R+RGYgpP5VJwusAuAoZF38PzCvVvQC5iNM4vVlzhDrh4GXvZjg1s4cWacOBfnBP54Va3hcaRcEf9Nm5uFiJQGUNVtXmeJR0S6quoP7uO6qro8bN05fmyIjcWv+4WIHI8zxKM5zvCDd/2YM5yI3IlTxHgDzgl8C1VVETkGeEtVO3gaMIKIDMXJe21oH3YbsV7Emb74aS/zxeIO170Ip95SeeAGYLyqbvY0WAzuca0PTuZjcW6EXOjjHlczgNuBn4DewNWq2tPbVCYvHImNKvnJGlWMCRD3y+0OIAlnTPZpqjpVRBrg9Eho7mnAKERklqq2iHwc7bkfRMn4jx+HVYUL72buPk8GakfWpfATEVmIc5GxW0TKAWuAJqr6t8fRYhKR4jgnlRcBLXAKDJ6N09PGdxXfROQXVe3oPn5HVS8JW+e7zx6AiIxS1SHu48HhjZki8qZGmYHJawE8xgVqvxCRT3CKhT+Bc4cxLXy9+q/gawb3Rkg1YKKq7nCXHQuUVNU/PQ0Xwb2h0ENVN0Qsr4ST31fnF+IUOr8A527zBziNEzNUta6nwbIhIrvIOovjMlWt53G0qIJwTDMHxxpV8pYVqjUmWAqp6kQAEbk/1MtDVRc7PV99SWI8jvbcD8pGFCSV8Od+vevsNkyE3s91QAkRKQm+vejYFeqNoqqbReQvnzeovIcz5GAi8DzODEVLVXWyl7myET41deRQAz9+9sB5j0MuI/M0r00KOEtOBe0YF7T9ojVO3ZdbcIYswYGcCvjyYhQgsieme0xugzPc4wxPQsVWOLJBBZy6Km4dDb+5FvgLpyfNl24DfRAuEoM2i2PkOVHZIJwTGVPQrFHFmGAJvxseOY7VrycTGuNxtOd+MAU4M8ZzxSlI6TdJOAUnwy+IQlMr+/Wi42gRCZ9Ou074c/XZ9J04F5+bcWZzWazOdLl+3H/DBe2zB/EbKPwqaO9zoPKqah2vMxwKESmCM6zmIpzhmZ/h1O3ym3i1afxYt6YqcApOA9Uodxhscb8OYQvR4M3iGMRzIpMDPuxgG2jWqGJMsDQVka04FxvF3ce4z4t5FyuumiLyLE7G0GPc576rQ+HHWVyyE9CLjrMinj/pSYocUtWm7jC7i4DvRSQFKC0iVf1atwbnjmIfnJpL4XcXBachzo8S3F5XCWGPQ40rid7Fique2yAoYY9xn/txKEIQ94tMRORonLv9/fxY8BUIzRjXD+gJ/IhTA62Nj79jmoadU4Tz5fmFqqYB3wDfuMXwe+EUt14tIpNU9SJPA2Zvqzoz8z0kziyO/XD+Hl8NN87p/ioil6nqW/mdxxi/spoqxph8JSKXxVvvty9hEbkpYpHiFBr8JbwApZ+ISOT4ZgU2qOoqL/IcCUSkFc5J8PnAf6ra3uNIWUgwp4FegdMjL2ovFT/WSxCRk+OtV9UpBZUlJ4K4XwCISDXgQpyGzSbAIzizpczzNFgMIpIO/AxcHlb41be1M4LGbUi5DqfQ+VzgdXempTI4U5n76twiRETOBF7HmVkpDbhAVX/zNtWhs1orwVOqcOlANgJs37fNl71YrVHFGOMZETlKVVd6nSOcO6VkpPI4dxtHqOqHBRwpW26350jlgSI4d3JnF2yi7InIPLIOQ9iAc0f3Cb/P/hPiTuPZKXThLCK3q+ojHscyPiEiHVT1V69zBJmIXMOBKWc/dv+N82MDWzgRaY7Tm+Y8YBnwIXCPqh7labAYgjaLlVuLZB9Ow9VpwIpQkWs/E5G5OA0pi92Zi0aqatyG2SAQkT/9VszYxGeNKnnLGlWMMflORNrhDPX5SVVTRKQJcBtwkqrW8jZdzohIeeD7IN2JcXtTPKWqnbLduICJSLQLi/I4xUlLquo1BRwpT/jtbp2IJALlQgUo3foOl+NMt328l9lyQ0SOA27x437hvscX4BzjJqjqfBHphVOQsrgfLzSCtF+IyF6c6eJvVtUZ7rJA9fgQkQ44DUPn4kwjP0ZVX/E0VIQAzmI1T1Ubu48LAdP8ljGaILy3B+Nw+TuOJCULlQxkI8CO/Tt82ahiNVWMMflKRB7HGes8GxguIl8CA4CHgSs9jJYrqrpJfDzFUjSqOkNESnmdI5oYPZRWAn+6U3sGlW/2ERHpC7wM7BCRv4EROHUdpgP9PYwWk9vg+gRQHaeA43PAC0Bb/Ft35zWgFs40qc+KyEqgHXCbqo71Mlg0AdwvquMMs3tKRKrg9FTx42w0Mbm9lX4VkRuBHjg9WHzVqELwZrHaF3rgDvvxMktuVI4YZpzpuao+5UGmvBCY/wDG5AdrVDHG5LczgObudIflgDVAEz9PnxuNiHTFmf0lMNwLkCDeiUjwOsAh8NP7fRfQUlWXunV3fgf6quoYj3PF8yrOVKO/48yUMgt4H+jv4yFhrXCOaelunYcNwDE+LmAcqP3C7U3zIvCiiNTCqauSIiKLcHp83OFpwBii1LoKWY/TWOg3gZoVisyFdcOL9wugqlrGu2hxvQqUjvM8METkXFX9zH1qwxzNEc2G/xhj8pWIzFTVlmHPZ6tqMw8jxRWl1gc4w1LWAJeq6uKCTxWfiDxH9MztgcGq+kXBp4ovxgVHOeBiYLuqDirgSHnCT+PKo3QzX6yqDbzMlJ3I44OIrALquDN9+FLQuvMHbb8QkeeB9yOLebpDwvqq6n3eJIsvotZVS5xp70NUVbsWcKS4RGQL8BNOo8RJ7mPc5x1VtZxH0Y5IQajPJSL/qmptr3OYg1O8UPFANgLs2r/Ll72irKeKMSa/HR02xShAnfDnqtrbg0zx9Ip4rsBGVd3hRZgcmhHxXIGNwE2qmuJBnpyIHMoRyjwZ/3WLz41PvA4QJrKbeakAdDMv5hb4DJ00bQeahIbeqeosz5LF1sAtPglO7qPd56E75k28ixZV0PaLv4En3dl/PgI+UNXZqvoX4MsGFQBV7RJ67Da2dom3vQ+ET3P/RMS6yOcm/52PM8OVn/ny4tYYL1hPFWNMvgrgdKPh0zTOA15T1f3epsqeeyF6NLBAVRd5nedwE6M3UAZVvbEA4+RIjJmsMvjxDr+ITCb2++y7u/sQs+hyhoDMcJbBj/sFZLzPfd1/xYAPcBpYfD+U1O+9l7Jjs1gVPD/1eozFeqoEm/VUyVvWqGKMyVciUltV//U6R05FmaZxpaoO9jZVfCJyN3AJTvfytsAjqvqqt6nic6eSfAWnIWgecKWfG4NE5LKwp/cBmS5MVfWtgk1k/EJETlTVqV7nOJK4jciv49SySfQ6T3aC0KgSxFmsDmd+2WdiDIkGp5fKcapapIAjmTxijSp5yxpVjDH5KmKaxs9U9VyvM8UTxGkaRWQB0FpVd4pIBZwT4tZe54pHRGYAt+OM2+8NXK2qPb1NlTNBuIMIICITVfUU97Hvx+cDiMjDocKjItJDVb/zOlN2Io5xv6tqO68zxRPE/QJARArjFC/uC3QDpuD0VBnrZa5YInq39QU+DF/vt95tIvImB2axaoszG5tvZ7E63PnleyZoPfFMzhVLLBrIRoDdaXt82ahiNVWMMfkt/OBXz7MUORfEaRp3q+pOAFXdKCJBmD0nIeyC+RMRud3TNLkTlBORSmGPgzA+H5yL5tBsLo8Bvm9UIfMxrphnKXIuUPuFiPQA+uHUu/oDp3HiWp/XuYLMta5mxtzKP4I2i9Xhzhf1ueI1mojIr0CHAoxjjG9Zo4oxJr/Fm6bRj4I4TWN4MWCJeO7HYsAAZUXknFjPVfVzDzIdboLweTscJLjTxSeEPc5oaFHVTZ4liy5o+8UdOPVTbvHhexnPR0BpVV0fvlBEKgNbo7/EU3tVNR1AVXeLyBJrUMl7IvJsvPWhHkyq+nDBJDokVk/FGJcN/zHG5CsRSQN24DZQADtDq/BvI0WgBK0YMICIvBFntarqlQUWJgdEZBsHLkZL4OzHoQtnX+7HcaZIBfzZ2CYi/wFP4WQe6j7O4MOZaRCRFUA60WfCUFX1VQ+9gO4XhXBqXIWmfl6EM8zRt0XEReQVnIyfRyzvjzNF8fXeJItORHYCS0NPcepdhZ7jw1msAklE9gLzgY+BNUQcN4JUn8sK1QZbkcQigWwE2Ju215ddyK1RxRjjCyJSTlU3e53jcBaEmjaRROSyIJ1k+klAG9sCOTNNTohIQ1Vd4IMcgdovRKQ68COwFvgT5yK0OVAV6KKqazyMF5OILFTVE2KsW6CqDQs6UzwiUh+oAqyKWHUUsEZVl2Z9lcktt+7Z+cCFwH6cHk2f+fX8J6JHaaZVwEuqWinGeuNz1qiSt6xRxRjjC36pdH8480vhu9zwy34hIiWAfaq6z31+HHA6sEJVx3ga7hAFtLEtMAVWQ/yyL+eUX/YLt4DqbFUdFbH8RqClql4W7XVeE5FFqnp8btd5RUS+BO5Q1bkRy1sB96rqmd4kO3yJSA2cekE3AcNV9R2PI2WRTa9SVPWKgspi8pY1quQtq6lijPELXx4kDzNB/AL1y34xAbgK+FtEjgF+B94DeolIW1W9zdN0h8ZXw1NyyPcFVqPwy76cU37ZL05U1csjF6rqsyLylwd5cipFRNqo6rTwhSLSGlgf4zVeqhPZoAKgqjNEpI4HeQ5rItICp0GlB/ANPi1mbI0mxuSMNaoYY/wiiBf8Jv/5Zb8op6p/u48vw5nKdZCIFME5GQ5yo4pf3uPcCFoDBQTvffZL3l1x1u2Ms85rtwIfuz1tQhfMrYBLcaZY9pt4M1cVL7AUhzkRuQ9nJqtFODNZ3e7z2kA3RSxSnJmhflHV5R5EMnkk3alLbfKINaoYY8yRI4gXon7JHH6B2RV4HEBV94qInZkUPL9c8Jv8lxSjroMAvisQHaKq00SkLTAAuNxdvABoq6opngWLbbqIXKOqr4YvFJGr8GkvioC6G1gGNHX/PSwicKB4v98KApeOsqwOcKeIjFDVDws4jzG+ZI0qxhi/8MvFc+CISG1V/TcHmw7P9zB571evA7jmisgTwGrgGGAigIiU9TJUHgniZy+Imfd6HSCX/PIeTwFi1fP4KcZyX1DVZCBT8WUR6SEiw1S1h0exYhkCjHFnJwrvWVME6ONVqMNQXa8D5Eas4uAiUh74Hqe3jTFHPCtUa4zJVyLSVVV/cB/XDe8uKiLnhKabFJHyqrrJq5xBFl4A0y/FJbMjImcCc1V1pfv8HuBcYCUw2G/dikWkODAYqAa8rqpz3OXtgaP9WGAwkogUBhoBq8PvlIvIKao60btkuScid6jqw17nABCRo4AtqprqPu8CnI2zLz+vqr5qTBGRMqq6Nca6jAbaIOwXIlLFbbjwHRHpCrwEVAfGAg8Db+M0Vj0UOdWyX7j7byP36YLQ97cxkYJY/N4cUCihUCAbAfan7/dLg38mCV4HMMYc9p4Ie/xZxLq7Qg+sQeWQhH/B+KW4ZHYewi3WKCK9gIuBK4HxOBcivqKqu1T1UVUdHGpQca3CmdrVd0TkJRFp6D5OAubgXNT9KSL9Qtv56cJZRK5xp3ZFHG+IyFYRmesWdgTALw0qro+BkgAi0gz4BPgXp2v/C97Fimly6IGITIpYNzb0wE/7RTgRSRKRK0Xke2CW13nieBK4FqgAfApMBd5R1ZZ+bVABUNUfVfU59581qOQxEdnmHtNC/1JF5B8R+Z873XIguI2GvpwG2uSMBvR/fmXDf4wx+U1iPI723BwcjfHYz1RVQ0UmzwFeU9WZwEwRGeBhrmyJSEWc2Wf6ATUAv06pfJKqXuc+vgJYoqpni0hVnNkmPvAuWkyDgTfdx/2AJjjd5ZsDzwAneRMrruKqusZ9fDFOT6YnRSQBmO1drJjCj7vl46zzDbenWG/gIqAFTp2Hs/H38B9V1cnu47Eisl5Vn/EykPGeqmapUSIi5XDq7ryE893iGyIyj6znFeWBNThFl40xWKOKMSb/xbvgD0oDgN81FZGtOBdExd3HcKDwnR+LOYqIlMKZvaMbme/ox5uFwhMiUhqnrsBFwLE4DSn1VLWmp8HiCx920gOnBwWqus4tjOhH+1V1n/u4F/C2qm4EvheRkR7miif8zewK3A6gquk+fZ8DdUwWkfeATjh1jJ4HfgCWhjVY+FXZiAK7Ev7cz71VTMFS1c3A0yJyiddZougV8VyBjaq6w4swxviVNaoYY/JbPREZj3PhEXqM+zxQBdv8SlUTvc5wEEbh3MXfCixS1RkAItIcWOtdrJhSgGk4Q9Z+UVUVEb8Xb9ziDq1aDXQArgIQkUL4d4rUdBGphtOtvBvOMLEQv2b+UUQ+xtlvy+Fc9OP+Hb6qp+Kq7E6TKmGPcZ9X8i5WTI1w9odFwGJVTRMR3zX+RBFZYDf8uQLWqGIyuDWv/HhdljFcTUTKuQ1A5jBgUyrnLStUa4zJVyJycrz1qjqloLIcriIK/gbipEdEagNpQGVgjqrz7e5eiBbO4WxGBUZEhgJ9cWpnvA98BHynqr6tYSMixwLP4tR8GaWqb7rLewKnqOrNHsaLym0EehlIBL5Q1Wvc5ScDw1T1DC/zRSNOd5QLcYoYf6yqq93lzYHKqvqtl/kiici98dbHmu3DSyLSAKeX2IU4DZwNgMaqus7TYMbkUozpwcvh7Nu/qOr9BRwprohC+BmPTfAFpHE6C1X1ZRdQa1QxxuQrEakEVFLVhRHLGwIpqrrem2SHjyCe9AQlZyQRqYdT66MvUB+4Bxirqks8DXYYcXvSlA5vHBSRkjjnLNu9SxadiExU1VO8znGkEJFWOJ/B84H/VLW9x5GiCusBFKLABpwLZ1/NbmYKjoi8EbFIgY3AZFX9yoNIcYXP8GOz/RxerFElb9nsP8aY/PYc0buU18QpPGkOXbxiwH4VlJwAiMgxItJBVZep6kOq2hhoA5yKMyzBd9whKaHHj0Ws8+vMLsNUdb+qbhaRjIKN7vj9OzyMFo8fh8zEJCIjReS6KMuHRu4nfqSqM9xeVkfh1q8BEJHbY7/KE6Uj/pUBWgHfiEhfL4MZ76jqFRH/rlTVW/3YoOIqLiLNRaQlUMx93CL0z+twxviF9VQxxuQrEVmgqg1jrJuvqo0KOtPhRkQW49y5TQDexekmn9Fooaq+m3ZURFKAD2OtV9UbCzBOtkTkS+AOVZ0bsbw1cK+qRhbz81zEHcZMPYP8escxXq8rv/ZuEpFlwC2x1vutIKmILAQahYbchS1PAOYG9Zjs1/0jkoiUB74PQlaT90Tk2Xjrffjd92Oc1aqqXQssjDE+5seCSMaYw0vhg1xncm4t8JT7eF3YY3C6FvvxpGcXMNPrELlQJ7JBBUBVp4vIUV4EyoF4d038ekcliFOwJ+HMkBEtnx8Lkmpkg4q7MF18Ol1RDgUiu6puCvj7bA7NdcB84GOcaYl9vS+oapecbCciPVT1u/zOY4xfWaOKMSa//S0ip6vq1+ELReQ0YJlHmQ4rOT3p8ZmNqvqW1yFyId40z36dlaaEWyw1AbcLN84JvODfzIGa7te1UlWv9DpELuwUkfqq+nf4QhGpj9PYGVR+3T8yEZGuOLMZmSNTNZx6QBcC+3GKnn8WhALz2XgMsEYVc8SyRhVjTH4bCnwpIhdwoGdCK6Adzt1dkwdEpDJwA9AQ5+JiITBaVVM8DRabH6eajWe6iFyjqq+GLxSRq/Bvj5vwXkuRPZj8OmtKUxHZitvw4z7GfR6vYctLvr7THMU9OHU9HiTzMfl2YIhXofKAr/47iMg8sjb0lMfpnXBpwScyfqCqG4GXgJdEpAbO0N0FIjJcVd/xNt0h8dXnz5iCZjVVjDH5TkSK4tT5CI3VXwC8r6q7vUt1+BCRDjjT/L6Jc5EkQAvgMqC/qv7qXbro3CmVY/LhlMpVgDE4jUHhF6JFgD42teuRS0QaquoCr3Pkhog0Am4l8zH5cVWd512qQyMid6jqw17nCIkyLFBxeujt8CKP8Re3yGs/oAfOd8qTkbMkBklQahoZk1+sUcUYYwJORKYC16vqnxHLmwEvq2pbT4LFEXYXN/zuluLMpFJZVRM9CZYNEelC2IWoqv7gZZ543CK6q0INPiJyKXAusBIYoaqbvMwXjYiUAPap6j73+XHA6cAKVR3jabgYRGQ5mXskSNhzVdWjCz7V4UNEniPO0B6/FfYMEZFiOPUzjgHmAa+p6n5vUxmvich9OL10F+EUa59wOOwX1qhijnTWqGKMyVdRLjjC2QVHHhCRhap6Qm7X+YmI1AGGA92BZ1X1OW8TBZ+IzAK6u4UxO+GcwA8CmgHHq+p5XuaLRkR+Aq5S1b9F5BhgGvAecAIwXVVv8zRgFCJSIWJRAnABzoxAs1T13IJPFZuIvEH8Y/JVBZknOyJyWdjT+4B7w9f7tTaTiHwE7AN+Bk7Dqb0z2NtUxmsiko5TTy5Uvyj0WRScz18TT4IdIhH5XFXP8TqHMV6xRhVjTL4K2gVHEInIIqB9ZKE7d+rO31S1gTfJsucWx7wTaAs8CbwV6qVgDo2IzFHVpu7j0cB6VR3hPp+tqs08jBeViMxT1cbu4weA8qp6g4gUAWaG1vmROyXxJTjDamYDD/uxO7+IRDvm1sapp5KoqjULNlHO+XUq8Ggi9uVCwDS7k2+ymy1OVVcWVJacEJGLca4X34lYfg2wQ1Xf9yaZMf5ihWqNMfnKLcoW7YLjDD9ecATU08BEEbkFmOUua4lTjf9pz1LF4dZ0uBOnsO5InN4Jad6mOuwkikght2t5N+DasHV+/f4Pv9PTFXgcQFX3und4fUdECgNX4hTl/gU4S1X/8TZVbKr6WeixiNQD7gA6AY8Cr3mVK4eCdCcwo3FYVffbLMoG/NdokgM34xwfIn0ITMap52bMEc+vJ1XGmMNE0C44gkhVXxGRNcADZJ7950FV/cLTcLHNAVYBXwFtgDbhFx1+rZMQMB8AU0RkA05X858B3GE1qV4Gi2OuiDwBrMapRTERQETKehkqG8txpkYdBfyLM4NR09BKVf3co1wxicjxOI2azXEarq47HOo6+ExoJivIPJtVaJhHGe+iGa+IyDaiNw76db9IVNVtkQtVdZt7fmeMwYb/GGPymYj8R+YLjkz8eMFh8p+IXE784pO+rJMQNCJyIlANmBiadUREjgVKRhY29gMRKQ4Mxsn8uqrOcZe3B47245SjIvIm8WuUXFmAcbIlIp/gzFz1BPAxkKmHmN8KGEdchJYAdnKgwLUfL0KNOWy4w4tbRc5aJSKlcepc+XZ4sTEFyRpVjDH5KmgXHEEkIh+r6gXu48dUdXjYuomqeop36XIvbMiKyWMiUhLoA/RT1TO8zpNTIlIL6Kuqj3udJehEZAVhsxOFFoeeq2q9Ag9ljPEld1hxN5wZBle4y+oAo4HJdkw2xmHDf4wx+UpVL4+1TkSqFGCUw1n9sMc9cGbRCalUwFlyRER+UdWO7uN3VPWSsNXTACvomEfcIq+nAxcBpwKfAS95GioHRKQicD7QD6gB+HVK5VGqOsR9PFhVnwlb92a8Y6AXVLWO1xlyI4jTbBsTS1jPq/AiO4pzTVZEVX11baaqT4jIdpyhpKVwsu4AHlXVF71NZ4x/JHgdwBhzZBGRJBG5UkS+50BRVXNo4nU59Gt3xJJhjxtGrLOKjnlARHqIyOs4NT/OA94BNqnqFX6ttSMipUXkUhGZgNO4dgxQT1WPVtVbPI4XS3gRx8si1gVielQROVpE7hSR+V5niWICUAcy6gH9DtQDBorIox7mMibXVLW0qpZx/780UB14CFgHPBP/1d5Q1ZdU9SjgKKCu+/gVEenvcTRjfMNXraHGmMOTWyehN86d8hZAaeBs4CcPYx1OSohIc5yG8uLuY3H/Ffc0WWxBbAgKmm9xitN2VNXlACLiy5P2MCk4jSl3Ab+oqopIH48zZUdiPPY1EakGXIhzXG4CPILTK8hvyqnq3+7jy4APVHVQaJpt4DbvohlzcNzi20OAS3Fm0Gkdmi3RT0SkDHADTm/BccD3IjKQAzM5vuddOmP8wxpVjDH5SkTew7mTOxF4HvgBWKqqk73MdZhZBzwV5XHouR+VdS+WE9zH57jLBUjyLtZhpSXQF+ckeBnOFJiJ3kbK1h04mV8E3heRjzzOkxMJIlIOZ18OPQ41rvju/RaRa3AaT2riFKq9Ghinqvd5Giy2wE2zbUws7rDGm3EaNF8HmquqX2djA6eH42acHmLXAMOAIjgzOc72MJcxvmKFao0x+UpE5uBcYLwNfKSqq0RkmRVDPLKJyBvx1qvqFQWV5UggIh1wLqTPxbm7OEZVX/E0VBwiUg8nb1+cmkH34mRe4mmwKNzCr+lE76Xiu8KvIrIX5wLpZlWd4S7z7TFZRN7FaRxejdMrpa6q7nTv9E9R1abxXm+Mn4jIDmA98AYQbarip7K8yEMiMk9VG7uPE4ENQO1o0ywbcySzRhVjTL4TkQY4XcwvxOne3wBorKp+7UURKCLSKd56VbVhVgYAEUnAKWbcNygNVyLSGOf4cYGqHu11nqCLKABcBae3yuWqWsvTYDEEcZptY2IRkRHEGeLqtx5jIjJLVVvEem6McVijijGmQIlIK5yT+fOB/1S1vceRAk9EohUdVaApUFNV/TgE4aZ46/12ty6IRCTuia+qWqHoPBDk99mdqvpCnGNyCZzeQHd4mypnbJptY/KfiKThzPYT6olXHNjpPldVLeNVNmP8xBpVjDGecO+YD1NVm70hj4lIR+BOoBzwkB9nenFrIcwGvgH2EDF0wm9364JIRH4Me9oSp6hniKpq1wKOlK2w6UazrMKnJ/DuvrwAp0s/REyV6rf3WUSeB95X1d8ilh+H00jh289etGm2fTwrlDFZiMiz8dar6o0FlcUYk3esUcUY4xkR+VdVa3ud43AhIt2Au3EuSh9W1e88jhSTiDTDqZdxKs7F/gfAJLUvpXwhIn+qanOvc+RGUDKLyFCcWjWpOMWAx6jqdm9TxSYig3E+e9WAj3Bm05ntaag4RKQ00AdnCNixwBjgQlWt6WkwYw6CiEROu56Jqr5VUFlyQkSKAdfhTG8/F2cI3n5vUxnjP9aoYozxjIis8us4/iARkTNweqakAg+q6q8eR8oVtzZCP6A7MFxVx3sc6bATxHHwQcssInVx9uOzgJU4DZuzPQ0Vh4gchdO40hcohtOw+UHY9MW+ICK7yDrNtm8L6xpzOHFnYNsH/AycBqxU1cHepjLGf2xKZWOMl6xVN298AfwHbASGi2SMPggNmejtVbDsiEgloDnQGOdvSPE2kTEHR1WXi8g4nJoDl+D0qpjtaag4VHUl8BjwmIg0x5ne9V78Nw10EKfZNiYqEYl708CH39cnhM3+8xpOA6cxJoI1qhhj8pVbRDVWjYQKBRzncNXF/f/iONPPpgP/ALs8S5QNEbkCp0BmMeBTnJldrEElD4nIcxz47NWMHMvvx7H7InJO2NOyEc9R1c8LOFK23Omf++L0UFmFMwToIVXd7WmwbIhIYZzhd32BbsAUwHf1VFT1aeDpsGm2xwLVRWQYMNaP02wbE0c7nOPEB8AfRJ+K3U/2hR6o6v6wmzbGmDA2/McYk69E5OR461V1SkFlOVyJSCHgYeBK4F+ck7SawJvAHaq6L/arveEW95yHkxciGt58eLcucII2dh9ARN6Is1pV9coCC5ND7r48FxgHbCXrvuyrmaxEpAdO40QvnIu6D3EaJ3Z4GiwGETkGqBI+rFFEmgCjgJP9OLuZMbGISCLOtPb9gCbAVzjD7hZ4GiyGsNl/wDm3sNl/jInCGlWMMZ6w6TDzjog8DZQCblLVbe6yMsATwE5VHeJhvKissS3/uQUGS6vq+ojllYGtfu9JERQiMoLYQxlVVe8vwDjZcmeF+gD4VFU3eZ0nOyLyJU7j8NyI5a2Be1W1lzfJjDk0IlIUp3HlceB+VX3O40jGmINkjSrGmAJj02HmDxH5Gzg2cuYc947YYlWt702ygyMiH6nqhV7nCDoReQWYEDlkRkT6Ax1V9XpvksUmIjcBqar6WsTyQUCiqo7yJNhBEpEhfszs9m47DWjgLlqEs6/4blYPEZmvqo1irJsXqvdgTFC4jSln4JwL1QHG48yqs9rLXMaYg2eNKsaYfGXTYeY/EVmiqsfmdp1f2VTbeUNEFqrqCTHWLVDVhgWdKTsiMh9ooap7I5YXBaarahNvkh0cP+7LIlId+BFYC/yJ042/OVAV6KKqazyMl4WILFXVY3K7zhg/EpG3gEbAN8CHqjrf40jGmDxghWqNMfkthazTYfbxONPhZqGIXKqqb4cvFJGLgcUeZTLei1dRMKHAUuSORjaouAv3SDArJPox88PAi5E9aETkRuARIG4tHg9MF5FrVPXV8IUichUw06NMxhysS3BqlBwL3Bhltj6rUWJMAFmjijEmv9l0mPnvBuBzEbkS5yJDgdY4BeV82YAlIi1irQIKF2SWw1iKiLRR1UxTYLq1KNbHeI3nRKSKqiZHLvMqzyHyY3fgE1X18siFqvqsiPzlQZ7sDAHGuMPWQo0orYAi+PT4ZkwsqurXBm1jzCGw4T/GmAIRNh1mX5xpf+/Fqali02HmERHpCjTEaZhYoKqTPI4Uk1ssMyZV7RJvvcmeiLQBPsaZBSr8YvRSnCLRf3gULSYRuRS4EbgZmOUubgmMBF5Q1Tc9ihaTiGwj9rTxJfw2O42I/KmqzXO7zmsi0gVn2AQ4x7cfvMxjjDHGhFijijGmwIlIY5waKxeo6tFe5zH+IiJt/XjBH0RuD48BhF2MAs+raop3qeITkdOA23AyK07mR1X1G0+DHSZEZBkQrUC4ACPtmGyMMcbkjjWqGGMKnDsL0MbI2WqMAX8W9zyciEgPYJiq9vA6S06JSFngBlV9yOssueHHfVlE3oi3XlWvKKgsxhhjzOHAaqr8f3t3H2x7Vd93/P0BtDwElZuoNVIfwkMVQb0I6mgiFUViY2yAWMGktJGpk8ZWq+mEaawmqdWYGJVIOjFmkhptFWxEG6ajwacQNRLDk1KQmhhCCIaiYE0KRgE//WPvK8fDueceDvfs9dv3vl8zZ2b91jp/fObMnjl7f/da3yVpSyV5KvAG4FbgtcC7gO8B9pk3V/3QyHyapCk291w68+NgbwO+F/gAswal72T2951kcSLJP2DW1PrhzG4Kew/wH5kdWXrPwGibNbnX8npFkyXuXSNJ0jAWVSRttV9j1qz2gcDHgOe2vSTJY5h9SLKootXcwbR7vAl4CfBp4LnAJcCr2/7q0FTreydwMXAB8IPMMl8NPL7tTSODbdLkX8tJHgicxuxI5mOZFbQkSdIGefxH0pZKcmXbJ87Hn2/72BVrk22KqK2V5EJ23tzzxLYHLTjSHifJ5W2PXfH8xan3y0jy2bZPWPH8f4BHtP3GwFjrSvLKnS0Br2q7bZF5NiLJAcDzmRVSjgUOBn4E+MO23xoYTZKkpeNOFUlbbeUb9K+vWrOqu/f6lU2uaeMelOTUFc9Z+dz2ggGZdinJIdx9bOYm4MAkBwG0vXVYsJ07eJ21ye0KSvLfgGcAFzHbSfgx4M/a/sHIXJIkLSt3qkjaUknuAm5j9iHpAOD2HUvA/m3vNyqbpmfeU+P0tm8cnWXZ7aIhadu+eGFhNijJXzArxK7Vi6Rtv2+xie6bJMe3/ZPROVZK8llmf993Aue3vSHJny/b31aSpKmwqCJJGmp+G9QLgDOYNyhtu9aVr9LkJTkKOJ3Z6/lrbY8bHOke5j2tXgS8ELgZeAxwzJL2rZEkaSiLKpKkhUtyMHAKsw92RzK76eWFbQ8dGmwPskavjwJfAT7Z9roBkXYpybGrpgp8pe0NI/JsVJJHMiuinAHcCTwSOK7tX4zMtRFJjmOW+wXAX7V92uBIkiQtFYsqkqSFS/J14DPMrs/9ZNt6BGH3SvJza0xvA04Gfr7teQuOtEtJPr7G9Dbg/sAZba9cbKJdS/JHzG43Ow84r+2fJrmu7aMHR7tXkgR4RtuL58//vu0vDo4lSdLkWVSRJC1cklcwOyJxEPBu4HzgwxZVtl6SbcBHVt4MNHXz3RRvbvuM0VlWS/I/gO3A7wHvbvtHe0KBcPXtUZIkaW37jA4gSdr7tH1L26cwu9Y1wAeA701ydpIjh4bbw81v0FmrEexktb0U+K7ROdbS9p8AxwCXA7+Q5DrgkCRPHpvsPluq14gkSaNYVJEkLVyS1wO0/fO2r2t7DHA8s2MUHxwabg+X5ETgq6Nz3BtJHspEr2BPcmrbr7X97bYnAU8BXgOck2TSvWB2YZJ/b0mSpsbjP5KkhfNowdZLchX3/GC8DfgScGbbaxefan1JzmXtzE8DXt72wsWnWt96r+Ukj2x7/aIz7Q5Jrmi7fXQOSZKmbr/RASRJe6V9kxzCTo4YzI+o6L553qrnAre0vW1EmA26dNVzgVuAV7a9eUCe+2RZCypz/310AEmSloE7VSRJC5fkG8CNrF1U6bI3+ZyCJPsDPwkcDlwF/FbbO8em2rUk24HDgKvbfn50nl1JcjvwZ2stMXstP37Bkda1k91A39b2ZQuMI0nS0nOniiRphGs8WrDlfge4A/gE8FzgKODlQxPtQpJXA/8MuAz45SS/2PY3B8faleuAHx4d4l5YuRvoF4C1rt6WJEkb5E4VSdLC2a9h6yW5at4AmCT7AZ+Zeh+bJFcDx7e9Pcl3Ax9qe/zoXOtZ5tfyMmeXJGkqvP1HkjTCr66eSHJIEq9x3X3u2DFYhmM/c3/X9naAtrewHO9TPjU6wH3gN2uSJN1HHv+RJI3wiCSPaXttkr8HfAh4AnBnkhe1/cjgfHuCJyT5m/k4wAHz5x29Ph4wLtpOHZbk9+bjrHqm7fPHxFrX76+85SfJa4DTgOuZ3Vh03dB0kiRpS3n8R5K0cPNjHke3bZKXAGcAzwaOBH6n7ZOHBtQQSU5Yb73txYvKslFJPgc8dX5k6XnAm5m9nrcDL2h78tCAqyT5W+7eoXIgcDt3N4yearFNkqTJcqeKJGmEb/buqv7JwHlt7wI+P+//ob3QRosmSd7X9rStzrNB3XFkCTiV2S1LlwGXJfmpgbnW1Pbg0RkkSdqTLMNZZUnSnucbSY5O8mDgmcBFK9YOHJRJy2NKV24nyXcl2Qd4FvDRFWv7D8q0U0kOTHK/Fc//MMkrkpwyMpckScvKoookaYR/C/wucC3wlh19J5L8Y+CKgbm0HKZ0dvkc4EpmVxV/vu2lAEm2A389LtZOfQh4FECSw4FPMytS/eskbxiYS5KkpWRPFUmStFSSXD6l66GTPBx4CPDZtt+azz0MuF/bvxwabpVVV22/FtjW9qVJ7g9ctmNNkiRtjOfWJUkLl+TMdZbb9l0LC6NlNJmrt5M8Yj68BTh0CW4FX/lt2onAGwHafjPJt8ZEkiRpeVlUkSSNcPwacwF+GHg4YFFlL5TkERvc2XH2lofZuP/JrFCxsppS4MHMdq/sOyLUOj6X5FeAG4HDmfczSvKgkaEkSVpWHv+RJA2V2Vf7P8bsg/I1wOvafm5sKo2w8ljPxG742bAkj2L2Wn428Na2545N9J2SHAC8HHgY8NttPzuffxpwmLvEJEm6d9ypIkkaYn518r8Afhr4Y+BH2/7voaE02srdHlO64WeXkhwBvAp4CvAm4GVt7xib6p7afh1YqyHtDcDTFxxHkqSlZ1FFkrRwSV7K7NvyjwI/2Pb6wZE0Dd3JeLKSHM2smPI44JeBs9reNTbVxiT5HuAFwBnMjt29f2wiSZKWj8d/JEkLN2+IeTPwZb7zw3OYNap9/JBgGirJXcBtzF4HBwC371hi9rp4wKhsOzPPfAOz3ir3KKa0fdnCQ60jycHAKcCLgCOZFVJe2PbQocEkSVpS7lSRJI3w6NEBND1tp9bUdSPOYkl21czdDHwG+A/AJ9s2ySmDM0mStLTcqSJJkiYhyaltL5iPD2n71dGZ9jRJXgGcDhwEvBs4H/hw26XqYSNJ0lRYVJEkLVySv2Xtb/cne8xDW2/V7T/fHk9ZkgtZZ6dK2+cvMM6GJfk+Zr1UTgeOAF4DfKDtF4YGkyRpyVhUkSRJk5DkirbbV4+nLMkJ6623vXhRWTYiyeHAQ9t+asXc44FzgBOW9AiWJEnD2FNFkiRNxQFJtgP7APvPx9++Zrnt5cOS7cRGiyZJ3tf2tK3OswHnAD+7cqLt55KcDfzckESSJC0xd6pIkqRJSPLxdZbb9sSFhdnNprLzJsn/anv0TtauanvMojNJkrTM3KkiSZImoe0zR2fYQlP5Fmv/ddYOWFgKSZL2EBZVJEnSZCR5CPBS4HHMChHXAP+57c1Dg+05/iTJv2z7mysnk5wFXDYokyRJS8vjP5IkaRKSPJ3ZNb/vYPYBP8CxwD8Hfmxlc9VlM6HjPw8F3g98k7uLKMcB9wdOaXvTqGySJC0jiyqSJGkSklwC/Ku2V6yafyLwG22fMiTYvZDkfsDRwI0rd9ckeU7bi8Yl+05JnsksJ8DVbT82Mo8kScvKoookSZqEJNe0Perero2U5G3AuW2vTvJA4NPAXcA24N+1fc/QgJIkaUvtMzqAJEnSXJIcssbkNqb7nuUH2l49H/8E8IX5DTpPAn5mXCxJkrQIU32DIkmS9j5vAS5KckKSg+c//wj44Hxtir65YnwS8AEAe5NIkrR38PYfSZI0CW3fnuRLwGv5ztt//lPbC4eG27n/m+R5wI3A04GzAJLsh1cUS5K0x7OniiRJ0iYlORJ4K/D3gXPavmM+fzLwnLY/PTCeJEnaYhZVJEnSJCR5b9t/Oh//UtuzV6xd1PY549JJkiTdkz1VJEnSVByxYnzSqrUHLzLIRiV574rxL61am8wVypIkaWtYVJEkSVOx3vbZqW6tXbpCkCRJ2n1sVCtJkqbiwCTbmX3pc8B8nPnPVJu+LmMhSJIk7SYWVSRJ0lTcBLx5jfGO5ylaxkKQJEnaTWxUK0mStElJ/oB1dqS0febi0kiSpEWzqCJJkiYhyTPWW2/7h4vKIkmStBEWVSRJ0iQkuXCN6QJPAA5tu++CI+1SkuOBG9reNH8+EzgNuB74+ba3jswnSZK2lkUVSZI0SUm+H3gVcAjwurZrFV2GSnI58Oy2t8532pwH/BvgicBj2/7oyHySJGlr2ahWkiRNSpJnAa9mtkvl9W0/PDjSevZdsRvlhcDb274PeF+SK8fFkiRJi2BRRZIkTUKSH2K2M+VrwKvafmpwpI3YN8l+be8EngW8ZMWa77MkSdrD+c9ekiRNxYXAXwG3AGcn2TEfoG2fPyrYOt4DXJzkK8DXgU8AJDmcWXFIkiTtweypIkmSJiHJCfPhAcARwLeALzIrVtD24kHR1pXkqcDDgIva3jafOxI4qO0VQ8NJkqQtZVFFkiRNQpL9gNcDLwb+ktkOlUOBdwA/2/aOcek2LslBwCnAGW1/aHQeSZK0dfYZHUCSJGnujcxu+nl022PbbgcOAx44X5usJPdP8iNJ3gv8NbP+Km8bHEuSJG0xd6pIkqRJSPKnwJFd9eYkyb7AtW2PGJNs55KcBJwBnAx8HDgfOLfto0bmkiRJi+FOFUmSNBVdXVCZT97F7HrlKfp9Zrtpvr/tj7e9kFkvGEmStBewqCJJkqbimiRnrp5M8uPAtQPybMSTgEuAjyT5cJKzgH0HZ5IkSQvi8R9JkjQJSR4OXMDstp/LmO1OOZ7ZbUCntL1xYLxdSvJ0ZkeBTgOuBN7f9u1DQ0mSpC1lUUWSJE1KkhOBxzG7/efqth8dHOleSbIPcBJwetufGJ1HkiRtHYsqkiRJm5Tk2PXW216+qCySJGnxLKpIkiRtUpKPr3h8ErNjSzu07YkLjiRJkhbIoookSdJukOSKtttH55AkSYvj7T+SJEm7h99USZK0l7GoIkmSJEmStAn7jQ4gSZK0rJKcy907VA5N8taV621ftvhUkiRpUSyqSJIkbd6lK8aX7fS3JEnSHslGtZIkSZuUZH/g4LZfXjX/EOBv2v7dmGSSJGkR7KkiSZK0eW8FfmCN+ZOAtyw4iyRJWjB3qkiSJG1SkmvaHrWTtavbPm7RmSRJ0uK4U0WSJGnzss6a77MkSdrD+c9ekiRp825O8uTVk0mOB768xu9LkqQ9iMd/JEmSNmleUHkv8A7uvv3nOOBM4PS2fzwomiRJWgCLKpIkSfdBkocCPwUcPZ+6Gvi1tjePSyVJkhbBoookSdJuluQk4GfanjQ6iyRJ2jr2VJEkSdqkJCcm+UKS/5fkvyY5KsmlwBuAXx+dT5IkbS2LKpIkSZv3JuAlwHcDvwtcAryr7ZPaXjA0mSRJ2nIe/5EkSdqkJJe3PXbF8xfbHjYykyRJWpz9RgeQJElaYg9KcuqK56x8dreKJEl7NneqSJIkbVKS/7LOctu+eGFhJEnSwllUkSRJkiRJ2gSP/0iSJG1SkleumirwFeCTba8bEEmSJC2Qt/9IkiRt3sGrfh4AHAd8MMnpI4NJkqSt5/EfSZKk3SzJNuAjK28GkiRJex53qkiSJO1mbW8FMjqHJEnaWhZVJEmSdrMkJwJfHZ1DkiRtLRvVSpIkbVKSq5g1p11pG/Al4MzFJ5IkSYtkTxVJkqRNSvLIVVMFbml724g8kiRpsSyqSJIkbVKS/YGfBA4HrgJ+q+2dY1NJkqRFsagiSZK0SUnOB+4APgE8F7i+7cvHppIkSYtiUUWSJGmTklzV9pj5eD/gM16jLEnS3sPbfyRJkjbvjh0Dj/1IkrT3caeKJEnSJiW5C9jRlDbAAcDt83HbPmBUNkmStPUsqkiSJEmSJG2Cx38kSZIkSZI2waKKJEmSJEnSJlhUkSRJkiRJ2gSLKpIkSZIkSZtgUUWSJEmSJGkT/j/wOhnXSmA8QQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 1224x1224 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Plot correlation heatmap to see if there are many correlated features\n",
+    "correlation = df.corr()\n",
+    "plt.figure(figsize=(17,17))\n",
+    "sns.heatmap(correlation, vmax=1, square=True,annot=True,cmap='cubehelix')\n",
+    "\n",
+    "plt.title('Correlation between different features')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "0d4f90c9",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#Standardize the data\n",
+    "from sklearn.preprocessing import StandardScaler\n",
+    "df_std = StandardScaler().fit_transform(df)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "367d7c61",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Text(0, 0.5, 'Cumulative explained variance')"
+      ]
+     },
+     "execution_count": 15,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#Apply PCA and find out many principal components are needed to explain how much variance then take required  number of principal components so that you reduce the number of columns as well as retain a lot variance of original data as well\n",
+    "from sklearn.decomposition import PCA\n",
+    "pca = PCA().fit(df_std)\n",
+    "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
+    "plt.xlim(0,17,1)\n",
+    "plt.xlabel('Number of components')\n",
+    "plt.ylabel('Cumulative explained variance')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "id": "f392d8c6",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[-0.88512191 -2.48301693  0.23090242 ...  0.04336989 -0.38202562\n",
+      "  -0.35720617]\n",
+      " [-3.00034342  2.01508943 -0.16533426 ...  1.67093843 -0.28801526\n",
+      "   0.94274938]\n",
+      " [ 1.19172624  0.38517395 -1.92678896 ... -0.55010278 -0.23006842\n",
+      "   0.52287556]\n",
+      " ...\n",
+      " [ 0.10596162 -3.06675754  1.18931984 ... -2.96585047  1.26333337\n",
+      "   1.97973232]\n",
+      " [-2.84716017 -2.51797947 -0.29519488 ... -2.99036079  0.69668999\n",
+      "   1.77427724]\n",
+      " [-0.16460436 -0.5243077  -1.64424995 ... -4.69253162  1.53231934\n",
+      "   0.09281539]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "from sklearn.decomposition import PCA \n",
+    "sklearn_pca = PCA(n_components=7)\n",
+    "Y_sklearn = sklearn_pca.fit_transform(df_std)\n",
+    "print(Y_sklearn)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "id": "6b3e6851",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(8950, 7)"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Y_sklearn.shape"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "f239d365",
+   "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>PC1</th>\n",
+       "      <th>PC2</th>\n",
+       "      <th>PC3</th>\n",
+       "      <th>PC4</th>\n",
+       "      <th>PC5</th>\n",
+       "      <th>PC6</th>\n",
+       "      <th>PC7</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>-0.885122</td>\n",
+       "      <td>-2.483017</td>\n",
+       "      <td>0.230902</td>\n",
+       "      <td>0.807129</td>\n",
+       "      <td>0.043370</td>\n",
+       "      <td>-0.382026</td>\n",
+       "      <td>-0.357206</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>-3.000343</td>\n",
+       "      <td>2.015089</td>\n",
+       "      <td>-0.165334</td>\n",
+       "      <td>-1.087171</td>\n",
+       "      <td>1.670938</td>\n",
+       "      <td>-0.288015</td>\n",
+       "      <td>0.942749</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>1.191726</td>\n",
+       "      <td>0.385174</td>\n",
+       "      <td>-1.926789</td>\n",
+       "      <td>1.859338</td>\n",
+       "      <td>-0.550103</td>\n",
+       "      <td>-0.230068</td>\n",
+       "      <td>0.522876</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>-0.794805</td>\n",
+       "      <td>0.218433</td>\n",
+       "      <td>-1.661542</td>\n",
+       "      <td>1.195618</td>\n",
+       "      <td>0.058950</td>\n",
+       "      <td>0.798510</td>\n",
+       "      <td>-0.086756</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>-1.265058</td>\n",
+       "      <td>-1.593317</td>\n",
+       "      <td>-0.689436</td>\n",
+       "      <td>1.339644</td>\n",
+       "      <td>-0.114019</td>\n",
+       "      <td>-0.837737</td>\n",
+       "      <td>0.231600</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8945</th>\n",
+       "      <td>0.668484</td>\n",
+       "      <td>-2.871696</td>\n",
+       "      <td>1.452469</td>\n",
+       "      <td>-2.236975</td>\n",
+       "      <td>-2.854943</td>\n",
+       "      <td>0.766981</td>\n",
+       "      <td>2.343375</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8946</th>\n",
+       "      <td>0.262604</td>\n",
+       "      <td>-2.240280</td>\n",
+       "      <td>1.844972</td>\n",
+       "      <td>-0.568118</td>\n",
+       "      <td>-3.339266</td>\n",
+       "      <td>1.706628</td>\n",
+       "      <td>1.774529</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8947</th>\n",
+       "      <td>0.105962</td>\n",
+       "      <td>-3.066758</td>\n",
+       "      <td>1.189320</td>\n",
+       "      <td>-1.775107</td>\n",
+       "      <td>-2.965850</td>\n",
+       "      <td>1.263333</td>\n",
+       "      <td>1.979732</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8948</th>\n",
+       "      <td>-2.847160</td>\n",
+       "      <td>-2.517979</td>\n",
+       "      <td>-0.295195</td>\n",
+       "      <td>-2.148352</td>\n",
+       "      <td>-2.990361</td>\n",
+       "      <td>0.696690</td>\n",
+       "      <td>1.774277</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>8949</th>\n",
+       "      <td>-0.164604</td>\n",
+       "      <td>-0.524308</td>\n",
+       "      <td>-1.644250</td>\n",
+       "      <td>-1.315554</td>\n",
+       "      <td>-4.692532</td>\n",
+       "      <td>1.532319</td>\n",
+       "      <td>0.092815</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>8950 rows × 7 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "           PC1       PC2       PC3       PC4       PC5       PC6       PC7\n",
+       "0    -0.885122 -2.483017  0.230902  0.807129  0.043370 -0.382026 -0.357206\n",
+       "1    -3.000343  2.015089 -0.165334 -1.087171  1.670938 -0.288015  0.942749\n",
+       "2     1.191726  0.385174 -1.926789  1.859338 -0.550103 -0.230068  0.522876\n",
+       "3    -0.794805  0.218433 -1.661542  1.195618  0.058950  0.798510 -0.086756\n",
+       "4    -1.265058 -1.593317 -0.689436  1.339644 -0.114019 -0.837737  0.231600\n",
+       "...        ...       ...       ...       ...       ...       ...       ...\n",
+       "8945  0.668484 -2.871696  1.452469 -2.236975 -2.854943  0.766981  2.343375\n",
+       "8946  0.262604 -2.240280  1.844972 -0.568118 -3.339266  1.706628  1.774529\n",
+       "8947  0.105962 -3.066758  1.189320 -1.775107 -2.965850  1.263333  1.979732\n",
+       "8948 -2.847160 -2.517979 -0.295195 -2.148352 -2.990361  0.696690  1.774277\n",
+       "8949 -0.164604 -0.524308 -1.644250 -1.315554 -4.692532  1.532319  0.092815\n",
+       "\n",
+       "[8950 rows x 7 columns]"
+      ]
+     },
+     "execution_count": 18,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df=pd.DataFrame(Y_sklearn,columns=['PC1','PC2','PC3','PC4','PC5','PC6','PC7'])\n",
+    "df"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "f6d98e2b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from sklearn.cluster import KMeans\n",
+    "wcss = [] \n",
+    "m = range(1,11)\n",
+    "for i in m: \n",
+    "    kmeans = KMeans(n_clusters = i, init = 'k-means++', random_state = 42)\n",
+    "    kmeans.fit(df) \n",
+    "    wcss.append(kmeans.inertia_)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "48be3a24",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(m,wcss,'bx-')\n",
+    "plt.plot(range(1, 11), wcss)\n",
+    "plt.xlabel('PC')\n",
+    "plt.ylabel('Inertia') \n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "aac8de47",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "X = df[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n",
+    "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"m\")\n",
+    "plt.xlabel(\"PC1\")\n",
+    "plt.ylabel(\"PC2\")\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "33d270ab",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "K=3\n",
+    "\n",
+    "Centroids = (X.sample(n=K))\n",
+    "plt.scatter(X[\"PC1\"], X[\"PC2\"], c=\"y\")\n",
+    "plt.scatter(Centroids[\"PC1\"], Centroids[\"PC2\"], c=\"blue\")\n",
+    "plt.xlabel(\"PC1\")\n",
+    "plt.ylabel(\"PC2\")\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "id": "165faa5d",
+   "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>PC1</th>\n",
+       "      <th>PC2</th>\n",
+       "      <th>PC3</th>\n",
+       "      <th>PC4</th>\n",
+       "      <th>PC5</th>\n",
+       "      <th>PC6</th>\n",
+       "      <th>PC7</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>2616</th>\n",
+       "      <td>1.570560</td>\n",
+       "      <td>-1.698821</td>\n",
+       "      <td>0.807623</td>\n",
+       "      <td>-1.119065</td>\n",
+       "      <td>1.547901</td>\n",
+       "      <td>0.001027</td>\n",
+       "      <td>0.792119</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2960</th>\n",
+       "      <td>-3.063973</td>\n",
+       "      <td>1.191018</td>\n",
+       "      <td>-0.058463</td>\n",
+       "      <td>0.476760</td>\n",
+       "      <td>0.787565</td>\n",
+       "      <td>-0.193401</td>\n",
+       "      <td>0.651509</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2478</th>\n",
+       "      <td>1.659748</td>\n",
+       "      <td>-0.712175</td>\n",
+       "      <td>0.430911</td>\n",
+       "      <td>1.010753</td>\n",
+       "      <td>-0.027300</td>\n",
+       "      <td>0.701144</td>\n",
+       "      <td>-0.465089</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "           PC1       PC2       PC3       PC4       PC5       PC6       PC7\n",
+       "2616  1.570560 -1.698821  0.807623 -1.119065  1.547901  0.001027  0.792119\n",
+       "2960 -3.063973  1.191018 -0.058463  0.476760  0.787565 -0.193401  0.651509\n",
+       "2478  1.659748 -0.712175  0.430911  1.010753 -0.027300  0.701144 -0.465089"
+      ]
+     },
+     "execution_count": 23,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "Centroids"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "id": "1ffd1b28",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "0.03820284577208599\n",
+      "0.14063370142968307\n",
+      "0.4261499072523626\n",
+      "0.47334994751559073\n",
+      "0.36653366716506036\n",
+      "0.2568573201204481\n",
+      "0.1790029915884378\n",
+      "0.0902143880354185\n",
+      "0.06156807536154927\n",
+      "0.04347830086466438\n",
+      "0.026710174796633516\n",
+      "0.02830723642114878\n",
+      "0.011374487639212113\n",
+      "0.009823033172494096\n",
+      "0.008538281253990934\n",
+      "0.00397269007330586\n",
+      "0.005191682741103817\n",
+      "0.005721408943584694\n",
+      "0.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "diff = 1\n",
+    "j=0\n",
+    "\n",
+    "while(diff!=0):\n",
+    "    XD=X\n",
+    "    i=1\n",
+    "    for index1, row_c in Centroids.iterrows():\n",
+    "        ED=[]\n",
+    "        for index2, row_d in XD.iterrows():\n",
+    "            d1 = (row_c[\"PC1\"]-row_d[\"PC1\"])**2\n",
+    "            d2 = (row_c[\"PC2\"]-row_d[\"PC2\"])**2\n",
+    "            d3 = (row_c[\"PC3\"]-row_d[\"PC3\"])**2\n",
+    "            d4 = (row_c[\"PC4\"]-row_d[\"PC4\"])**2\n",
+    "            d5 = (row_c[\"PC5\"]-row_d[\"PC5\"])**2\n",
+    "            d6 = (row_c[\"PC6\"]-row_d[\"PC6\"])**2\n",
+    "            d7 = (row_c[\"PC7\"]-row_d[\"PC7\"])**2\n",
+    "            d = sqrt(d1+d2+d3+d4+d5+d6+d7)\n",
+    "            ED.append(d)\n",
+    "        X[i] = ED\n",
+    "        i = i+1\n",
+    "    \n",
+    "    C = []\n",
+    "    for index, row in X.iterrows():\n",
+    "        min_dist=row[1]\n",
+    "        pos=1\n",
+    "        for i in range(K):\n",
+    "            if row[i+1] < min_dist:\n",
+    "                min_dist = row[i+1]\n",
+    "                pos = i+1\n",
+    "        C.append(pos)\n",
+    "    X[\"Cluster\"]=C\n",
+    "    Centroids_new = X.groupby([\"Cluster\"]).mean()[[\"PC1\", \"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]\n",
+    "    if j == 0:\n",
+    "        diff = 1\n",
+    "        j = j+1\n",
+    "    else:\n",
+    "        diff = (Centroids_new['PC1'] - Centroids['PC1']).sum() + (Centroids_new['PC2'] - Centroids['PC2']).sum() + (Centroids_new['PC3'] - Centroids['PC3']).sum() + (Centroids_new['PC4'] - Centroids['PC4']).sum() +(Centroids_new['PC5'] - Centroids['PC5']).sum()+ (Centroids_new['PC6'] - Centroids['PC6']).sum()+(Centroids_new['PC7'] - Centroids['PC7']).sum()\n",
+    "        print(diff.sum())\n",
+    "    Centroids = X.groupby([\"Cluster\"]).mean()[[\"PC1\",\"PC2\",\"PC3\",\"PC4\",\"PC5\",\"PC6\",\"PC7\"]]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "id": "20183023",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "color=['blue','red','green']\n",
+    "for k in range(K):\n",
+    "    data=X[X[\"Cluster\"]==k+1]\n",
+    "    plt.scatter(data[\"PC1\"],data[\"PC2\"],c=color[k])\n",
+    "plt.scatter(Centroids[\"PC1\"],Centroids[\"PC2\"],c='yellow')\n",
+    "plt.xlabel('PC1')\n",
+    "plt.ylabel('PC2')\n",
+    "plt.show()"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.9.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}