{
 "cells": [
  {
   "cell_type": "code",
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   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>agg_trade_id</th>\n",
       "      <th>price</th>\n",
       "      <th>quantity</th>\n",
       "      <th>first_trade_id</th>\n",
       "      <th>last_trade_id</th>\n",
       "      <th>timestamp</th>\n",
       "      <th>is_buyer_maker</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2744035954</td>\n",
       "      <td>105814.4</td>\n",
       "      <td>0.010</td>\n",
       "      <td>6365487364</td>\n",
       "      <td>6365487364</td>\n",
       "      <td>2025-06-03 00:00:00.012</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2744035955</td>\n",
       "      <td>105814.3</td>\n",
       "      <td>0.011</td>\n",
       "      <td>6365487365</td>\n",
       "      <td>6365487366</td>\n",
       "      <td>2025-06-03 00:00:00.021</td>\n",
       "      <td>True</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2744035956</td>\n",
       "      <td>105814.4</td>\n",
       "      <td>0.098</td>\n",
       "      <td>6365487367</td>\n",
       "      <td>6365487367</td>\n",
       "      <td>2025-06-03 00:00:00.040</td>\n",
       "      <td>False</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2744035957</td>\n",
       "      <td>105814.4</td>\n",
       "      <td>0.166</td>\n",
       "      <td>6365487368</td>\n",
       "      <td>6365487374</td>\n",
       "      <td>2025-06-03 00:00:04.714</td>\n",
       "      <td>False</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2744035958</td>\n",
       "      <td>105814.3</td>\n",
       "      <td>0.021</td>\n",
       "      <td>6365487375</td>\n",
       "      <td>6365487375</td>\n",
       "      <td>2025-06-03 00:00:04.728</td>\n",
       "      <td>True</td>\n",
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       "    <tr>\n",
       "      <th>1939375</th>\n",
       "      <td>2745975329</td>\n",
       "      <td>104641.8</td>\n",
       "      <td>0.026</td>\n",
       "      <td>6370322911</td>\n",
       "      <td>6370322913</td>\n",
       "      <td>2025-06-04 23:59:56.207</td>\n",
       "      <td>True</td>\n",
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       "    <tr>\n",
       "      <th>1939376</th>\n",
       "      <td>2745975330</td>\n",
       "      <td>104641.8</td>\n",
       "      <td>0.001</td>\n",
       "      <td>6370322914</td>\n",
       "      <td>6370322914</td>\n",
       "      <td>2025-06-04 23:59:57.508</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1939377</th>\n",
       "      <td>2745975331</td>\n",
       "      <td>104641.8</td>\n",
       "      <td>1.104</td>\n",
       "      <td>6370322915</td>\n",
       "      <td>6370322918</td>\n",
       "      <td>2025-06-04 23:59:58.058</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1939378</th>\n",
       "      <td>2745975332</td>\n",
       "      <td>104641.8</td>\n",
       "      <td>0.047</td>\n",
       "      <td>6370322919</td>\n",
       "      <td>6370322919</td>\n",
       "      <td>2025-06-04 23:59:58.539</td>\n",
       "      <td>True</td>\n",
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       "      <th>1939379</th>\n",
       "      <td>2745975333</td>\n",
       "      <td>104641.8</td>\n",
       "      <td>0.002</td>\n",
       "      <td>6370322920</td>\n",
       "      <td>6370322920</td>\n",
       "      <td>2025-06-04 23:59:58.843</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1939380 rows × 7 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         agg_trade_id     price  quantity  first_trade_id  last_trade_id  \\\n",
       "0          2744035954  105814.4     0.010      6365487364     6365487364   \n",
       "1          2744035955  105814.3     0.011      6365487365     6365487366   \n",
       "2          2744035956  105814.4     0.098      6365487367     6365487367   \n",
       "3          2744035957  105814.4     0.166      6365487368     6365487374   \n",
       "4          2744035958  105814.3     0.021      6365487375     6365487375   \n",
       "...               ...       ...       ...             ...            ...   \n",
       "1939375    2745975329  104641.8     0.026      6370322911     6370322913   \n",
       "1939376    2745975330  104641.8     0.001      6370322914     6370322914   \n",
       "1939377    2745975331  104641.8     1.104      6370322915     6370322918   \n",
       "1939378    2745975332  104641.8     0.047      6370322919     6370322919   \n",
       "1939379    2745975333  104641.8     0.002      6370322920     6370322920   \n",
       "\n",
       "                      timestamp  is_buyer_maker  \n",
       "0       2025-06-03 00:00:00.012           False  \n",
       "1       2025-06-03 00:00:00.021            True  \n",
       "2       2025-06-03 00:00:00.040           False  \n",
       "3       2025-06-03 00:00:04.714           False  \n",
       "4       2025-06-03 00:00:04.728            True  \n",
       "...                         ...             ...  \n",
       "1939375 2025-06-04 23:59:56.207            True  \n",
       "1939376 2025-06-04 23:59:57.508            True  \n",
       "1939377 2025-06-04 23:59:58.058            True  \n",
       "1939378 2025-06-04 23:59:58.539            True  \n",
       "1939379 2025-06-04 23:59:58.843            True  \n",
       "\n",
       "[1939380 rows x 7 columns]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "paths_spot_binance = [\n",
    "    \"/home/yusuf/crypto_quant/data/binance/BTCUSDT-aggTrades-2025-06-03.csv\",\n",
    "    \"/home/yusuf/crypto_quant/data/binance/BTCUSDT-aggTrades-2025-06-04.csv\"\n",
    "]\n",
    "\n",
    "df_spot_binance = []\n",
    "for path_spot_binance in paths_spot_binance:\n",
    "    df = pd.read_csv(path_spot_binance)\n",
    "\n",
    "    df_spot_binance.append(df)\n",
    "df_spot_binance = pd.concat(df_spot_binance, ignore_index=True,axis=0)\n",
    "\n",
    "df_spot_binance[\"transact_time\"] = pd.to_datetime(df_spot_binance[\"transact_time\"], unit=\"ms\")\n",
    "df_spot_binance = df_spot_binance.rename(\n",
    "    columns={\n",
    "        \"transact_time\": \"timestamp\",\n",
    "    }\n",
    ")\n",
    "spot_binance_min_ts = df_spot_binance[\"timestamp\"].min()\n",
    "spot_binance_max_ts = df_spot_binance[\"timestamp\"].max()\n",
    "df_spot_binance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Binance Perpetual DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 218756 entries, 7 to 218762\n",
      "Data columns (total 9 columns):\n",
      " #   Column           Non-Null Count   Dtype         \n",
      "---  ------           --------------   -----         \n",
      " 0   agg_trade_id     218756 non-null  int64         \n",
      " 1   price            218756 non-null  float64       \n",
      " 2   quantity         218756 non-null  float64       \n",
      " 3   first_trade_id   218756 non-null  int64         \n",
      " 4   last_trade_id    218756 non-null  int64         \n",
      " 5   timestamp        218756 non-null  datetime64[ns]\n",
      " 6   is_buyer_maker   218756 non-null  bool          \n",
      " 7   last_bid_hit_px  218756 non-null  float64       \n",
      " 8   last_ask_hit_px  218756 non-null  float64       \n",
      "dtypes: bool(1), datetime64[ns](1), float64(4), int64(3)\n",
      "memory usage: 15.2 MB\n",
      "None\n",
      "Binance Perpetual DataFrame max timestamp: 2025-06-04 23:59:51.956000\n",
      "Binance Perpetual DataFrame min timestamp: 2025-06-03 00:00:01.563000\n"
     ]
    }
   ],
   "source": [
    "paths_binance_perp = [\n",
    "    \"/home/yusuf/crypto_quant/data/binance/BTCUSD_PERP-aggTrades-2025-06-03.csv\",\n",
    "    \"/home/yusuf/crypto_quant/data/binance/BTCUSD_PERP-aggTrades-2025-06-04.csv\",\n",
    "]\n",
    "df_binance_perp = []\n",
    "for path_binance_perp in paths_binance_perp:\n",
    "    df_binance_perp.append(pd.read_csv(path_binance_perp, header=0)\n",
    ")\n",
    "df_binance_perp = pd.concat(df_binance_perp, ignore_index=True, axis=0)\n",
    "df_binance_perp[\"transact_time\"] = pd.to_datetime(df_binance_perp[\"transact_time\"], unit=\"ms\")\n",
    "df_binance_perp = df_binance_perp.rename(\n",
    "    columns={\n",
    "        \"transact_time\": \"timestamp\",\n",
    "    }\n",
    ")\n",
    "df_binance_perp = df_binance_perp.sort_values(by=\"timestamp\", ascending=True)\n",
    "df_binance_perp.loc[df_binance_perp[\"is_buyer_maker\"] == True, \"last_bid_hit_px\"] = df_binance_perp.price\n",
    "\n",
    "df_binance_perp.loc[df_binance_perp[\"is_buyer_maker\"] == False, \"last_ask_hit_px\"] = df_binance_perp.price\n",
    "df_binance_perp = df_binance_perp.ffill().dropna()\n",
    "df_binance_perp_max_ts = df_binance_perp[\"timestamp\"].max()\n",
    "df_binance_perp_min_ts = df_binance_perp[\"timestamp\"].min()\n",
    "print(\"Binance Perpetual DataFrame:\")\n",
    "print(df_binance_perp.info())\n",
    "\n",
    "\n",
    "print(\"Binance Perpetual DataFrame max timestamp:\", df_binance_perp_max_ts)\n",
    "print(\"Binance Perpetual DataFrame min timestamp:\", df_binance_perp_min_ts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Merged Binance DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 2203831 entries, 0 to 2000758\n",
      "Data columns (total 15 columns):\n",
      " #   Column               Dtype         \n",
      "---  ------               -----         \n",
      " 0   agg_trade_id_spot    float64       \n",
      " 1   price_spot           float64       \n",
      " 2   quantity_spot        float64       \n",
      " 3   first_trade_id_spot  float64       \n",
      " 4   last_trade_id_spot   float64       \n",
      " 5   timestamp            datetime64[ns]\n",
      " 6   is_buyer_maker_spot  object        \n",
      " 7   agg_trade_id_perp    float64       \n",
      " 8   price_perp           float64       \n",
      " 9   quantity_perp        float64       \n",
      " 10  first_trade_id_perp  float64       \n",
      " 11  last_trade_id_perp   float64       \n",
      " 12  is_buyer_maker_perp  object        \n",
      " 13  last_bid_hit_px      float64       \n",
      " 14  last_ask_hit_px      float64       \n",
      "dtypes: datetime64[ns](1), float64(12), object(2)\n",
      "memory usage: 269.0+ MB\n",
      "None\n",
      "Filtered Merged Binance DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 2203763 entries, 2000759 to 2203830\n",
      "Data columns (total 15 columns):\n",
      " #   Column               Dtype         \n",
      "---  ------               -----         \n",
      " 0   agg_trade_id_spot    float64       \n",
      " 1   price_spot           float64       \n",
      " 2   quantity_spot        float64       \n",
      " 3   first_trade_id_spot  float64       \n",
      " 4   last_trade_id_spot   float64       \n",
      " 5   timestamp            datetime64[ns]\n",
      " 6   is_buyer_maker_spot  object        \n",
      " 7   agg_trade_id_perp    float64       \n",
      " 8   price_perp           float64       \n",
      " 9   quantity_perp        float64       \n",
      " 10  first_trade_id_perp  float64       \n",
      " 11  last_trade_id_perp   float64       \n",
      " 12  is_buyer_maker_perp  object        \n",
      " 13  last_bid_hit_px      float64       \n",
      " 14  last_ask_hit_px      float64       \n",
      "dtypes: datetime64[ns](1), float64(12), object(2)\n",
      "memory usage: 269.0+ MB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "df_binance = pd.merge(\n",
    "    df_spot_binance,\n",
    "    df_binance_perp,\n",
    "    on=\"timestamp\",\n",
    "    how=\"outer\",\n",
    "    suffixes=(\"_spot\", \"_perp\"),\n",
    ")\n",
    "df_binance = df_binance.sort_values(by=\"timestamp\", ascending=True)\n",
    "print(\"Merged Binance DataFrame:\")\n",
    "print(df_binance.info())\n",
    "df_binance = df_binance[df_binance.timestamp >= spot_binance_min_ts]\n",
    "df_binance = df_binance[df_binance.timestamp <= spot_binance_max_ts]\n",
    "df_binance = df_binance[df_binance.timestamp >= df_binance_perp_min_ts]\n",
    "df_binance = df_binance[df_binance.timestamp <= df_binance_perp_max_ts]\n",
    "print(\"Filtered Merged Binance DataFrame:\")\n",
    "print(df_binance.info())\n",
    "\n",
    "binance_min_ts = df_binance[\"timestamp\"].min()\n",
    "binance_max_ts = df_binance[\"timestamp\"].max()\n",
    "del df_spot_binance, df_binance_perp\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count                      2203762\n",
       "mean     0 days 00:00:00.078407011\n",
       "std      0 days 00:00:00.173147802\n",
       "min                0 days 00:00:00\n",
       "25%                0 days 00:00:00\n",
       "50%                0 days 00:00:00\n",
       "75%         0 days 00:00:00.092000\n",
       "max         0 days 00:00:06.136000\n",
       "Name: timestamp, dtype: object"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_binance.timestamp.diff().describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OKX Spot DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 308461 entries, 0 to 308460\n",
      "Data columns (total 5 columns):\n",
      " #   Column        Non-Null Count   Dtype  \n",
      "---  ------        --------------   -----  \n",
      " 0   trade_id      308461 non-null  int64  \n",
      " 1   side          308461 non-null  object \n",
      " 2   size          308461 non-null  float64\n",
      " 3   price         308461 non-null  float64\n",
      " 4   created_time  308461 non-null  int64  \n",
      "dtypes: float64(2), int64(2), object(1)\n",
      "memory usage: 11.8+ MB\n",
      "None\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\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>trade_id</th>\n",
       "      <th>side</th>\n",
       "      <th>size</th>\n",
       "      <th>price</th>\n",
       "      <th>created_time</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>748626496</td>\n",
       "      <td>buy</td>\n",
       "      <td>0.011148</td>\n",
       "      <td>104434.9</td>\n",
       "      <td>1748880000010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>748626504</td>\n",
       "      <td>buy</td>\n",
       "      <td>0.000865</td>\n",
       "      <td>104438.0</td>\n",
       "      <td>1748880000030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>748626502</td>\n",
       "      <td>buy</td>\n",
       "      <td>0.006364</td>\n",
       "      <td>104437.3</td>\n",
       "      <td>1748880000030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>748626503</td>\n",
       "      <td>buy</td>\n",
       "      <td>0.000050</td>\n",
       "      <td>104437.8</td>\n",
       "      <td>1748880000030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>748626508</td>\n",
       "      <td>buy</td>\n",
       "      <td>0.000849</td>\n",
       "      <td>104440.0</td>\n",
       "      <td>1748880000030</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    trade_id side      size     price   created_time\n",
       "0  748626496  buy  0.011148  104434.9  1748880000010\n",
       "1  748626504  buy  0.000865  104438.0  1748880000030\n",
       "2  748626502  buy  0.006364  104437.3  1748880000030\n",
       "3  748626503  buy  0.000050  104437.8  1748880000030\n",
       "4  748626508  buy  0.000849  104440.0  1748880000030"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "paths_spot_okx =[\n",
    "    \"/home/yusuf/crypto_quant/data/okx/BTC-USDT-aggtrades-2025-06-03.csv\",\n",
    "    \"/home/yusuf/crypto_quant/data/okx/BTC-USDT-aggtrades-2025-06-04.csv\",\n",
    "]\n",
    "              \n",
    "df_spot_okx = []\n",
    "columns = ['trade_id', 'side', 'size', 'price', 'created_time']\n",
    "\n",
    "for path_spot_okx in paths_spot_okx:\n",
    "    df_spot_okx.append(pd.read_csv(path_spot_okx, encoding='ISO-8859-1', names=columns, skiprows=1)\n",
    ")\n",
    "df_spot_okx = pd.concat(df_spot_okx, ignore_index=True,axis=0)\n",
    "\n",
    "df_spot_okx = df_spot_okx.sort_values(by='created_time')\n",
    "df_spot_okx.side.value_counts()\n",
    "df_spot_okx=df_spot_okx.reset_index(drop=True)\n",
    "print(\"OKX Spot DataFrame:\")\n",
    "print(df_spot_okx.info())\n",
    "df_spot_okx.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OKX Spot DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 308461 entries, 0 to 308460\n",
      "Data columns (total 5 columns):\n",
      " #   Column        Non-Null Count   Dtype  \n",
      "---  ------        --------------   -----  \n",
      " 0   trade_id      308461 non-null  int64  \n",
      " 1   side          308461 non-null  object \n",
      " 2   size          308461 non-null  float64\n",
      " 3   price         308461 non-null  float64\n",
      " 4   created_time  308461 non-null  int64  \n",
      "dtypes: float64(2), int64(2), object(1)\n",
      "memory usage: 11.8+ MB\n",
      "None\n",
      "OKX Perpetual DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 577663 entries, 0 to 577662\n",
      "Data columns (total 5 columns):\n",
      " #   Column        Non-Null Count   Dtype  \n",
      "---  ------        --------------   -----  \n",
      " 0   trade_id      577663 non-null  int64  \n",
      " 1   side          577663 non-null  object \n",
      " 2   size          577663 non-null  float64\n",
      " 3   price         577663 non-null  float64\n",
      " 4   created_time  577663 non-null  int64  \n",
      "dtypes: float64(2), int64(2), object(1)\n",
      "memory usage: 22.0+ MB\n",
      "None\n",
      "OKX Spot DataFrame max timestamp: 1749052799286\n",
      "OKX Spot DataFrame min timestamp: 1748880000010\n",
      "OKX Perpetual DataFrame max timestamp: 1749052799713\n"
     ]
    }
   ],
   "source": [
    "paths_okx_perp = [\n",
    "    \"/home/yusuf/crypto_quant/data/okx/BTC-USDT-SWAP-aggtrades-2025-06-03.csv\",\n",
    "    \"/home/yusuf/crypto_quant/data/okx/BTC-USDT-SWAP-aggtrades-2025-06-04.csv\",\n",
    "]\n",
    "df_okx_perp = []\n",
    "columns = ['trade_id', 'side', 'size', 'price', 'created_time']\n",
    "for path_okx_perp in paths_okx_perp:\n",
    "    df_okx_perp.append(pd.read_csv(path_okx_perp, encoding='ISO-8859-1', names=columns, skiprows=1)\n",
    ")\n",
    "df_okx_perp = pd.concat(df_okx_perp, ignore_index=True, axis=0)\n",
    "df_okx_perp = df_okx_perp.sort_values(by='created_time')\n",
    "df_okx_perp.side.value_counts()\n",
    "df_okx_perp = df_okx_perp.reset_index(drop=True)\n",
    "df_okx_perp.head()\n",
    "print(\"OKX Spot DataFrame:\")\n",
    "print(df_spot_okx.info())\n",
    "print(\"OKX Perpetual DataFrame:\")\n",
    "print(df_okx_perp.info())\n",
    "df_spot_okx_max_ts = df_spot_okx[\"created_time\"].max()\n",
    "df_spot_okx_min_ts = df_spot_okx[\"created_time\"].min()\n",
    "df_okx_perp_max_ts = df_okx_perp[\"created_time\"].max()\n",
    "df_okx_perp_min_ts = df_okx_perp[\"created_time\"].min()\n",
    "print(\"OKX Spot DataFrame max timestamp:\", df_spot_okx_max_ts)\n",
    "print(\"OKX Spot DataFrame min timestamp:\", df_spot_okx_min_ts)\n",
    "print(\"OKX Perpetual DataFrame max timestamp:\", df_okx_perp_max_ts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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>trade_id</th>\n",
       "      <th>side</th>\n",
       "      <th>size</th>\n",
       "      <th>price</th>\n",
       "      <th>created_time</th>\n",
       "      <th>last_bid_hit_px</th>\n",
       "      <th>last_ask_hit_px</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>748626629</td>\n",
       "      <td>sell</td>\n",
       "      <td>0.021989</td>\n",
       "      <td>104446.7</td>\n",
       "      <td>2025-06-02 16:00:04.714</td>\n",
       "      <td>104446.7</td>\n",
       "      <td>104446.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>748626630</td>\n",
       "      <td>sell</td>\n",
       "      <td>0.010675</td>\n",
       "      <td>104445.3</td>\n",
       "      <td>2025-06-02 16:00:04.714</td>\n",
       "      <td>104445.3</td>\n",
       "      <td>104446.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>748626633</td>\n",
       "      <td>sell</td>\n",
       "      <td>0.001123</td>\n",
       "      <td>104438.3</td>\n",
       "      <td>2025-06-02 16:00:04.730</td>\n",
       "      <td>104438.3</td>\n",
       "      <td>104446.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>748626631</td>\n",
       "      <td>sell</td>\n",
       "      <td>0.000010</td>\n",
       "      <td>104440.0</td>\n",
       "      <td>2025-06-02 16:00:04.730</td>\n",
       "      <td>104440.0</td>\n",
       "      <td>104446.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>748626634</td>\n",
       "      <td>sell</td>\n",
       "      <td>0.001721</td>\n",
       "      <td>104438.0</td>\n",
       "      <td>2025-06-02 16:00:04.740</td>\n",
       "      <td>104438.0</td>\n",
       "      <td>104446.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     trade_id  side      size     price            created_time  \\\n",
       "9   748626629  sell  0.021989  104446.7 2025-06-02 16:00:04.714   \n",
       "10  748626630  sell  0.010675  104445.3 2025-06-02 16:00:04.714   \n",
       "11  748626633  sell  0.001123  104438.3 2025-06-02 16:00:04.730   \n",
       "12  748626631  sell  0.000010  104440.0 2025-06-02 16:00:04.730   \n",
       "13  748626634  sell  0.001721  104438.0 2025-06-02 16:00:04.740   \n",
       "\n",
       "    last_bid_hit_px  last_ask_hit_px  \n",
       "9          104446.7         104446.8  \n",
       "10         104445.3         104446.8  \n",
       "11         104438.3         104446.8  \n",
       "12         104440.0         104446.8  \n",
       "13         104438.0         104446.8  "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_spot_okx[\"created_time\"] = pd.to_datetime(df_spot_okx[\"created_time\"], unit=\"ms\")\n",
    "df_spot_okx_max_ts = df_spot_okx[\"created_time\"].max()\n",
    "df_spot_okx_min_ts = df_spot_okx[\"created_time\"].min()\n",
    "df_spot_okx.loc[df_spot_okx.side==\"sell\", \"last_bid_hit_px\"] = df_spot_okx.loc[df_spot_okx.side==\"sell\",\"price\"]\n",
    "df_spot_okx.loc[df_spot_okx.side==\"buy\", \"last_ask_hit_px\"] = df_spot_okx.loc[df_spot_okx.side==\"buy\",\"price\"]\n",
    "df_spot_okx = df_spot_okx.ffill().dropna()\n",
    "df_spot_okx.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OKX Spot DataFrame max timestamp: 2025-06-04 15:59:59.286000\n",
      "OKX Spot DataFrame min timestamp: 2025-06-02 16:00:00.010000\n",
      "OKX Perpetual DataFrame max timestamp: 2025-06-04 15:59:59.713000\n",
      "OKX Perpetual DataFrame min timestamp: 2025-06-02 16:00:00.004000\n"
     ]
    }
   ],
   "source": [
    "df_okx_perp[\"created_time\"] = pd.to_datetime(df_okx_perp[\"created_time\"], unit=\"ms\")\n",
    "df_okx_perp_max_ts = df_okx_perp[\"created_time\"].max()\n",
    "df_okx_perp_min_ts = df_okx_perp[\"created_time\"].min()\n",
    "df_okx_perp.loc[df_okx_perp.side==\"sell\", \"last_bid_hit_px\"] = df_okx_perp.loc[df_okx_perp.side==\"sell\",\"price\"]\n",
    "df_okx_perp.loc[df_okx_perp.side==\"buy\", \"last_ask_hit_px\"] = df_okx_perp.loc[df_okx_perp.side==\"buy\",\"price\"]\n",
    "df_okx_perp = df_okx_perp.ffill().dropna()\n",
    "df_okx_perp.head()\n",
    "print(\"OKX Spot DataFrame max timestamp:\", df_spot_okx_max_ts)\n",
    "print(\"OKX Spot DataFrame min timestamp:\", df_spot_okx_min_ts)\n",
    "print(\"OKX Perpetual DataFrame max timestamp:\", df_okx_perp_max_ts)\n",
    "print(\"OKX Perpetual DataFrame min timestamp:\", df_okx_perp_min_ts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Merged OKX DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 1464401 entries, 964168 to 1464400\n",
      "Data columns (total 13 columns):\n",
      " #   Column                Non-Null Count    Dtype         \n",
      "---  ------                --------------    -----         \n",
      " 0   trade_id_spot         964168 non-null   float64       \n",
      " 1   side_spot             964168 non-null   object        \n",
      " 2   size_spot             964168 non-null   float64       \n",
      " 3   price_spot            964168 non-null   float64       \n",
      " 4   created_time          1464401 non-null  datetime64[ns]\n",
      " 5   last_bid_hit_px_spot  964168 non-null   float64       \n",
      " 6   last_ask_hit_px_spot  964168 non-null   float64       \n",
      " 7   trade_id_perp         1210974 non-null  float64       \n",
      " 8   side_perp             1210974 non-null  object        \n",
      " 9   size_perp             1210974 non-null  float64       \n",
      " 10  price_perp            1210974 non-null  float64       \n",
      " 11  last_bid_hit_px_perp  1210974 non-null  float64       \n",
      " 12  last_ask_hit_px_perp  1210974 non-null  float64       \n",
      "dtypes: datetime64[ns](1), float64(10), object(2)\n",
      "memory usage: 156.4+ MB\n",
      "None\n",
      "Final Merged OKX DataFrame:\n",
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 1464400 entries, 964168 to 964167\n",
      "Data columns (total 13 columns):\n",
      " #   Column                Non-Null Count    Dtype         \n",
      "---  ------                --------------    -----         \n",
      " 0   trade_id_spot         964168 non-null   float64       \n",
      " 1   side_spot             964168 non-null   object        \n",
      " 2   size_spot             964168 non-null   float64       \n",
      " 3   price_spot            964168 non-null   float64       \n",
      " 4   timestamp             1464400 non-null  datetime64[ns]\n",
      " 5   last_bid_hit_px_spot  964168 non-null   float64       \n",
      " 6   last_ask_hit_px_spot  964168 non-null   float64       \n",
      " 7   trade_id_perp         1210973 non-null  float64       \n",
      " 8   side_perp             1210973 non-null  object        \n",
      " 9   size_perp             1210973 non-null  float64       \n",
      " 10  price_perp            1210973 non-null  float64       \n",
      " 11  last_bid_hit_px_perp  1210973 non-null  float64       \n",
      " 12  last_ask_hit_px_perp  1210973 non-null  float64       \n",
      "dtypes: datetime64[ns](1), float64(10), object(2)\n",
      "memory usage: 156.4+ MB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "df_okx = pd.merge(\n",
    "    df_spot_okx,\n",
    "    df_okx_perp,\n",
    "    on=\"created_time\",\n",
    "    how=\"outer\",\n",
    "    suffixes=(\"_spot\", \"_perp\"),\n",
    ")\n",
    "df_okx = df_okx.sort_values(by=\"created_time\", ascending=True)\n",
    "print(\"Merged OKX DataFrame:\")\n",
    "print(df_okx.info())\n",
    "df_okx = df_okx[df_okx.created_time >= df_spot_okx_min_ts]\n",
    "df_okx = df_okx[df_okx.created_time <= df_spot_okx_max_ts]\n",
    "df_okx = df_okx[df_okx.created_time >= df_okx_perp_min_ts]\n",
    "df_okx = df_okx[df_okx.created_time <= df_okx_perp_max_ts]\n",
    "\n",
    "df_okx = df_okx.rename(\n",
    "    columns={\n",
    "        \"created_time\": \"timestamp\",\n",
    "    }\n",
    ")\n",
    "df_okx = df_okx.sort_values(by=\"timestamp\", ascending=True)\n",
    "print(\"Final Merged OKX DataFrame:\")\n",
    "print(df_okx.info())\n",
    "okx_min_ts = df_okx[\"timestamp\"].min()\n",
    "okx_max_ts = df_okx[\"timestamp\"].max()\n",
    "del df_spot_okx, df_okx_perp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['agg_trade_id_spot', 'price_spot', 'quantity_spot',\n",
       "       'first_trade_id_spot', 'last_trade_id_spot', 'timestamp',\n",
       "       'is_buyer_maker_spot', 'agg_trade_id_perp', 'price_perp',\n",
       "       'quantity_perp', 'first_trade_id_perp', 'last_trade_id_perp',\n",
       "       'is_buyer_maker_perp', 'last_bid_hit_px', 'last_ask_hit_px'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_binance.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['trade_id_spot', 'side_spot', 'size_spot', 'price_spot', 'timestamp',\n",
       "       'last_bid_hit_px_spot', 'last_ask_hit_px_spot', 'trade_id_perp',\n",
       "       'side_perp', 'size_perp', 'price_perp', 'last_bid_hit_px_perp',\n",
       "       'last_ask_hit_px_perp'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_okx.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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>price_spot_binance</th>\n",
       "      <th>price_perp_binance</th>\n",
       "      <th>timestamp</th>\n",
       "      <th>price_spot_okx</th>\n",
       "      <th>price_perp_okx</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>105814.4</td>\n",
       "      <td>105886.0</td>\n",
       "      <td>2025-06-03 00:00:04.714</td>\n",
       "      <td>105873.8</td>\n",
       "      <td>105839.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>105814.3</td>\n",
       "      <td>105886.0</td>\n",
       "      <td>2025-06-03 00:00:04.728</td>\n",
       "      <td>105873.8</td>\n",
       "      <td>105839.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>105814.4</td>\n",
       "      <td>105886.0</td>\n",
       "      <td>2025-06-03 00:00:04.733</td>\n",
       "      <td>105873.8</td>\n",
       "      <td>105839.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>105814.7</td>\n",
       "      <td>105886.0</td>\n",
       "      <td>2025-06-03 00:00:04.741</td>\n",
       "      <td>105873.8</td>\n",
       "      <td>105839.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>105815.5</td>\n",
       "      <td>105886.0</td>\n",
       "      <td>2025-06-03 00:00:04.741</td>\n",
       "      <td>105873.8</td>\n",
       "      <td>105839.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   price_spot_binance  price_perp_binance               timestamp  \\\n",
       "0            105814.4            105886.0 2025-06-03 00:00:04.714   \n",
       "1            105814.3            105886.0 2025-06-03 00:00:04.728   \n",
       "2            105814.4            105886.0 2025-06-03 00:00:04.733   \n",
       "3            105814.7            105886.0 2025-06-03 00:00:04.741   \n",
       "4            105815.5            105886.0 2025-06-03 00:00:04.741   \n",
       "\n",
       "   price_spot_okx  price_perp_okx  \n",
       "0        105873.8        105839.0  \n",
       "1        105873.8        105839.0  \n",
       "2        105873.8        105839.0  \n",
       "3        105873.8        105839.0  \n",
       "4        105873.8        105839.0  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "merged=pd.merge(\n",
    "    df_binance[['price_spot', 'price_perp', 'timestamp']],\n",
    "    df_okx[[\"price_spot\", \"price_perp\", \"timestamp\"]],\n",
    "    on = \"timestamp\",\n",
    "    how=\"outer\",\n",
    "    suffixes=(\"_binance\", \"_okx\"),\n",
    ")\n",
    "merged = merged.sort_values(by=\"timestamp\").ffill().dropna().reset_index(drop=True)\n",
    "merged = merged[merged.timestamp >= binance_min_ts]\n",
    "merged = merged[merged.timestamp <= binance_max_ts]\n",
    "merged = merged[merged.timestamp >= okx_min_ts]\n",
    "merged = merged[merged.timestamp <= okx_max_ts]\n",
    "merged.head()\n",
    "\n",
    "\n",
    "\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'OKX Perpetual - Spot Price Difference'}>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(merged.price_perp_okx - merged.price_spot_okx).plot(title= \"OKX Perpetual - Spot Price Difference\", figsize=(12, 6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(12, 6))\n",
    "(merged.price_perp_binance - merged.price_spot_binance).hist(bins=100, figsize=(12, 6))\n",
    "plt.title(\"Binance Perpetual - Spot Price Difference Histogram\")\n",
    "plt.xlabel(\"Price Difference\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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q5Zdf1tmzZ7VmzRrdfffdcnd317lz58yv3r176+zZs9q8ebPd9v72t79d9LEuPEa9S5cuCgoK0ldffSXpzxMPnjhxQkOHDrV7rMLCQvXs2VPbtm0r08nwLscbb7yh9u3bq3bt2nJ2dpaLi4vWrFmjH3744bK3VVBQUGzcpfnrX/+qH3/8UYmJiXrmmWcUGhqqNWvWaMiQIerfv7/ZH0UGDBig2rVrm7c9PT3Vr18/bdiwQQUFBTp9+rS2bNmie+65R3Xq1DHrnJycFB0drcOHD2vv3r2X/bzO17lzZ7m4uMjT01N9+/aVv7+/vvzyS7tPxKXS+6DIl19+KUl64oknLlqzatUqnTt3TkOGDLHbt7Vr11ZYWNhln/2+JBfu5yu1fPlyWSwWPfjgg3Zj9vf310033VRszPXr19cdd9xRbBshISG6+eab7bYRFRVV4ln/w8PD5enpad728/OTr6+veejHmTNntH79eg0aNKjY+RUufNzw8HAFBATYPW6vXr0k/TlD5VKuv/56bdu2rdhX0YkdS+Pt7a3rr79e06ZN08yZM7Vz587LOh/H2rVr1bp1a91yyy12y2NiYmQYhjnTY/369fL09FTPnj3t6u6///6Lbruknj569Kgee+wxBQYGmj8/goKCJKnEnyF9+/a1u92qVStZLBZz/0p/HoLWokWLEq+wAQCXi0MMAKAK8PHxkbu7uw4cOFBqXXp6utzd3eXt7W23/Pnnn9fNN9+siRMnqrCwUIsXL7Y7BOF8//jHP5SRkaEVK1ZoyJAhevjhh83jesvi1ltv1axZs2SxWMwTybm6ukqSfvnlF507d04JCQlKSEgo8f4XHmtb2uEQ/v7+JS47fvy4JOnIkSOSpHvuueei2zhx4oQ8PDxKf1JlNHPmTI0ZM0aPPfaYXnrpJfn4+MjJyUnPP/98uQKC7t27272BGjp06CWP63dxcVFUVJSioqIkScePH9c999yj5cuX68svv1Tv3r3N2ovtv/z8fJ06dUonT56UYRglvgYBAQHm9q/Eu+++q1atWsnZ2Vl+fn4lPpa7u7vq1q17yW0dO3ZMTk5OJT6vIkU98de//rXE9eefq6G8MjIyzP1TEY4cOSLDMIqFJkWKpvwXKWkfHjlyRD/++GOxKepFLvy+a9CgQbEaq9WqP/74Q5KUnZ2tgoKCix7ydP7jfvHFF2V+3JIUnR+jPPe1WCxas2aNJk6cqKlTp2rMmDHy9vbWAw88oEmTJtmFICU5fvx4iZfSvLD/jx8/XuLrc7HXrKSeLiwsVGRkpH799Vc9//zzatOmjTw8PFRYWKjOnTub+/58F/6sd3V1lbu7u13wV7Q8Nzf34k8UAMqIgAAAqgAnJyeFh4crMTFRhw8fLvGP8sOHD2vHjh3q1atXiW/+J0yYIIvFogkTJqiwsFBLliwpduLBNWvW6I033tDzzz+vnj176vXXX9egQYOUkJCgUaNGlWmsXl5eJf4xL/35yWbRp88X+5S3efPmdrdLCyaysrJKXNaiRQtJfwYr0p+Xh7zYmc0v9gf8+axWq91J14pc+OZ48eLF6tatW7FLOp48efKSj1GSefPm2d236PlcjgYNGmj06NFat26d0tLS7AKCi+0/V1dX1alTR87OzqpVq5YyMzOL1f3666/lHtP5WrVqddF+KVLWcKphw4YqKChQVlbWRYOlovH+97//NT+ZrUhbt25VVlaWhg0bVmHb9PHxkcVi0ddff20eG3++C5eVtL98fHzk5uamt99++6KPcTm8vb3l5OSkw4cPl1rn4+Ojtm3batKkSSWur8gg5WKCgoI0f/58SdK+ffv04YcfKj4+Xvn5+XrjjTdKvW+DBg3K1P8NGjTQ1q1bi9WV9D0mlfwapaWl6bvvvtPChQs1dOhQc3nReTkAoCogIACAKmL8+PH68ssvNWLECC1btswuBCgoKNDjjz8uwzA0fvz4i24jPj5etWrV0osvvijDMPTee++ZIUFubq4efvhh3XTTTeYZ1gcOHKh77rlH48ePV58+fa74snLu7u4KDw/Xzp071bZtW3NmQXktWbLEbprupk2bdPDgQT3yyCOSpK5du6pevXras2fPJS8bV/Qmq6RP6Zo1a6bvv//ebtnatWt16tQpu2UWi6XYm7Xvv/9eKSkpCgwMLPsT+/+Cg4PLXGuz2ZSbm1viJ79FsxcufDP2ySefaNq0aeanjSdPntQXX3yh2267TU5OTvLw8FCnTp30ySefaPr06XJzc5MkcxZKkyZN1LJlS0ml77/K0qtXL02ZMkVz587VxIkTS6yJioqSs7OzfvrppzIdtnA5Tpw4occee0wuLi566qmnKmy7ffv21SuvvKJffvlFgwYNKvc2Jk+erAYNGhQL4crDzc1NYWFh+uijjzRp0qSLBgx9+/bVypUrdf3116t+/fpX/LhXqmXLlnruuef08ccf69tvvzWXnz874nzdu3fXlClT9O2335on35T+nPlisVgUHh4uSQoLC9OHH36oL7/80m56/9KlS8s8tqLQ4MKfIfPmzSvzNgDgaiMgAIAqomvXrnr11Vc1evRo3XrrrRo5cqSaNm2qjIwMvf7669qyZYteffVVdenSpdTtvPDCC6pVq5aef/55GYah999/X87OznrqqaeUlZVVbDrwnDlzdOONN172oQYX89prr+nWW2/Vbbfdpscff1zNmjXTyZMn9eOPP+qLL74wj+kti+3bt+uRRx7RwIEDdejQIT377LNq3LixRowYIUmqU6eOEhISNHToUJ04cUL33HOPfH19dezYMX333Xc6duyY+Wl/0WUfX3vtNQ0dOlQuLi4KDg6Wp6enoqOj9fzzz+uFF15QWFiY9uzZo9mzZ8vLy8tuPH379tVLL72kF198UWFhYdq7d68mTpyo5s2bX5VLup0vJydHzZo108CBA9WjRw8FBgbq1KlTWrdunV577TW1atWq2BnMnZycFBERobi4OBUWFupf//qXcnNzNWHCBLNmypQpioiIUHh4uMaOHStXV1fNmTNHaWlpev/9981+CAkJkST95z//kaenp2rXrq3mzZuXGFhcLbfddpuio6P18ssv68iRI+rbt6+sVqt27twpd3d3Pfnkk2rWrJkmTpyoZ599Vj///LN69uyp+vXr68iRI9q6das8PDzsnv/F7N+/X5s3b1ZhYaGOHz+uLVu2aP78+crNzdW77757RVf+uFDXrl316KOP6qGHHtL27dt1++23y8PDQ5mZmeYlSx9//PFStzF69Gh9/PHHuv322/XUU0+pbdu2KiwsVEZGhpKSkjRmzBh16tTpssZVdHb9Tp06ady4cWrRooWOHDmizz//XPPmzZOnp6cmTpyo5ORkdenSRaNGjVJwcLDOnj2r9PR0rVy5Um+88cYlD1O4Et9//71GjhypgQMH6oYbbpCrq6vWrl2r77//XuPGjTPr2rRpo6VLl+qDDz7Qddddp9q1a6tNmzZ66qmn9O6776pPnz6aOHGigoKCtGLFCs2ZM0ePP/64GZANHTpUs2bN0oMPPqiXX35ZLVq00JdffqlVq1ZJKtuhK3/5y190/fXXa9y4cTIMQ97e3vriiy+UnJx8dXYOAJSHo86OCAAoWUpKinHPPfcYfn5+hrOzs+Hr62sMGDDA2LRpU7HaorOnX3jmcsMwjEmTJhmSjAEDBhiff/65IcmYNGlSiY/54YcfGpKM1157rdSxBQUFGX369Lnkczhw4IDx8MMPG40bNzZcXFyMhg0bGl26dDGvPmAYpZ8tvuh5JSUlGdHR0Ua9evUMNzc3o3fv3sb+/fuL1a9fv97o06eP4e3tbbi4uBiNGzc2+vTpU2zb48ePNwICAoxatWrZnQk9Ly/PePrpp43AwEDDzc3NCAsLM1JTU4tdxSAvL88YO3as0bhxY6N27dpG+/btjU8//bTY2fYNo+KvYpCXl2dMnz7d6NWrl9G0aVPDarUatWvXNlq1amU8/fTTxvHjx83aoqsY/Otf/zImTJhgNGnSxHB1dTXatWtnrFq1qti2v/76a+OOO+4wPDw8DDc3N6Nz587GF198Uazu1VdfNZo3b244OTkVO3P7hUrrzfOVdFb/89dduF8LCgqMWbNmGSEhIYarq6vh5eVlhIaGFhvvp59+aoSHhxt169Y1rFarERQUZNxzzz3G6tWrSx1PUV8WfTk7OxsNGjQwQkNDjWeeecZIT0+/6HMt71UMirz99ttGp06dzNfh+uuvN4YMGWJs377drAkLCzNuvPHGEu9/6tQp47nnnjOCg4PNfdOmTRvjqaeeMq8aYRh/9uYTTzxR7P4lXbVjz549xsCBA40GDRoYrq6uRtOmTY2YmBjj7NmzZs2xY8eMUaNGGc2bNzdcXFwMb29vo0OHDsazzz5rnDp1qsSxluX5HDt27JJXMThy5IgRExNj/OUvfzE8PDyMOnXqGG3btjVmzZpld4WW9PR0IzIy0vD09DQk2fXVwYMHjcGDBxsNGjQwXFxcjODgYGPatGlGQUGB3XgyMjKMAQMGGHXq1DE8PT2Nv/3tb8bKlSuLXYGgtNd4z549RkREhOHp6WnUr1/fGDhwoJGRkVHseV5u/5S2HwHgclgMo4JPxQsAwBVauHChHnroIW3btu2Sx6+juPT0dDVv3lzTpk3T2LFjHT0coMaaPHmynnvuOWVkZFzVmRIAUFk4xAAAAAC4hNmzZ0v681ABm82mtWvX6t///rcefPBBwgEANQYBAQAAAHAJ7u7umjVrltLT05WXl6emTZvqn//8p3nSVwCoCTjEAAAAAAAA6NKnXAUAAAAAADUeAQEAAAAAACAgAAAAAAAAnKSw0hUWFurXX3+Vp6enLBaLo4cDAAAAAKjhDMPQyZMnFRAQoFq1Lj5PgICgkv36668KDAx09DAAAAAAANeYQ4cOlXppVgKCSubp6Snpzxembt26Dh7N/7HZbEpKSlJkZKRcXFwcPRw4AD0AegD0AOgB0AOgB2qm3NxcBQY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      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "(merged.price_perp_okx - merged.price_spot_okx).hist(bins=100, figsize=(12, 6))\n",
    "plt.title(\"OKX Perpetual - Spot Price Difference Histogram\")\n",
    "plt.xlabel(\"Price Difference\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Binance Perpetual vs Spot Price Difference'}>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(merged.price_perp_binance - merged.price_spot_binance).plot(title=\"Binance Perpetual vs Spot Price Difference\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Binance vs OKX Spot Price Difference'}>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(merged.price_spot_binance-merged.price_spot_okx).plot(title=\"Binance vs OKX Spot Price Difference\", figsize=(12, 6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 6))\n",
    "(merged.price_perp_binance - merged.price_perp_okx).hist(bins=100, figsize=(12, 6))\n",
    "plt.title(\"Binance Perpetual - Okx Perp Price Difference Histogram\")\n",
    "plt.xlabel(\"Price Difference\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Binance vs OKX Perpetual Price Difference'}>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HH39scR9Dhw5Ffn4+Vq1ahcceewxvvPEGfv75Z6vPq69Pnz743//+B41Gg5CQEFSqVAne3t4AoJv+O3r0aIwePdrs443Lt1mbQm48rd7HxweRkZG4efOmwfM1adLE7OOtfR4cMXLkSMyaNQvvvPMO2rZti/DwcHh5eWHIkCFOTUF+88038dxzz8HLywvFixdHhQoVzAbU9ky3165RtpZJ35G/k1jawDUuLs6p/Whp26xdhmDOrVu3EBwcrPvd+P0SewwwPpYBhcce/b/19evXdd9fa21PS0uDn5+f2fudfa+JiFyBQTkRkcLq1q2LNWvW4NSpUyYjR2Jt3LgRV65cwebNm3Wj4wCcqkMcHR2N7du3o6CgwGIgFhUVBY1Gg23btuk6CvSZu83Yiy++iGHDhuH48eM4d+4cUlJS8OKLLxpsU65cOcydOxcAcOrUKSxduhQTJ05ETk6Obl2rsZIlS6JWrVpYu3YtMjMzza4rT0hIwNWrV/H000+b3Ofl5YW5c+dCo9FgxowZKCgoMJswbu7cuVi5ciV+/PFHdO7cGZMmTcI777yDPn36mF3Pb050dLRBp40+7Vr2sWPHonfv3ma3qVatmsHvlkZzgcI1vaVKldL9npeXh5s3b+qCJe3z/f777yhXrpxd7Tem7fAxThyoDfz1LVy4EC+88AKmTp1qcPuNGzdsdlZZU7p0aYvvqT5r75WWdh26tZrzjvydxMjKysL69etRqVIlu8rs2UPb5q+++kqXCM+YcbBt/H5JcQwwFh0dbfW91j5vZGQkVq9ebfZ+lnsjInfAoJyISGHazOHGiaccob1QNr4A/vbbbx3eZ7du3fDLL79g/vz5Fqew9+zZE9OnT8fly5fRp08fh56nX79+GDlyJObPn49z586hVKlS6Ny5s8Xtq1ativHjx+OPP/7Avn37rO573Lhx6N+/P0aPHo3Zs2cb3Hfv3j288cYbCAoKwltvvWX28drA3NvbGzNnzkRBQQE+/fRT3f3JyckYOXIkevTooetIGDVqFP7880+8/PLLaNWqFcLDw+19K8yqVq0aqlSpgoMHD5oEro5YtGgRGjVqpPt96dKlyMvLQ7t27QAAXbp0gY+PD86ePWtzarf+jI3AwEDd7TExMQgICNBlz9davny5yT40Go3J53bFihW4fPkyKleuLOq1yaVFixYICwvDnDlz0LdvX7OBvNR/J335+fkYPnw4bt68aZLt3RktW7ZE8eLFcezYMQwfPtyhfUhxDDDWrVs3TJgwARs3bsQjjzxi8Xl//fVX5Ofno1mzZpI8LxGRqzEoJyJyoSNHjiAvLw9A4Wjhn3/+iXXr1uGJJ55AhQoVnN5/ixYtEB4ejldeeQXvv/8+fH19sWjRIhw8eNDhffbr1w/z5s3DK6+8gpMnT6J9+/YoKCjArl27UKNGDfTt2xctW7bESy+9hBdffBF79+5FmzZtEBwcjJSUFGzfvh116tTBq6++avV5ihcvjieeeALz589HWloaRo8ebTAyf+jQIQwfPhxPP/00qlSpAj8/P2zcuBGHDh3CmDFjbL6Gffv24ZNPPkFSUhIGDRqEmJgYnDx5Ep999hnOnj2LxYsXW51mr9Fo8N1330Gj0eCzzz6DIAi6/w8ePBje3t74/vvvddt7e3tj/vz5aNCggehp7JZ8++236NatG7p06YKBAweiVKlSuHXrFo4fP459+/bht99+s3tff/75J3x8fNCpUyccPXoU7733HurVq6cLqMqXL4/Jkydj3LhxOHfuHLp27Yrw8HBcvXoVu3fvRnBwMCZNmgQAqFOnDgDgo48+Qrdu3eDt7Y26devCz88Pzz33HH788UdUqlQJ9erVw+7du7F48WKT9vTs2RPz589H9erVUbduXSQmJmLGjBmSjQZLoVixYpg5cyaGDBmCjh07YujQoYiJicGZM2dw8OBBXW4IKf5OV69exc6dOyEIAu7cuYMjR47gp59+wsGDB/HWW29h6NChkr6ur776CgMGDMCtW7fw1FNPoUSJErh+/ToOHjyI69ev45tvvrG6DymOAcZGjBiBJUuW4LHHHsOYMWPQtGlTZGVlYcuWLejZsyfat2+Pvn37YtGiRejevTvefPNNNG3aFL6+vrh06RI2bdqExx57DE888YQzbw8RkfwUTDJHRFRkmMu+HhYWJtSvX1/49NNPhfv37xtsDwvZ1/UzJgvCwwzLmzZt0t22Y8cOIT4+XggKChKio6OFIUOGCPv27TPJzjxgwAAhODjYpK3a7Mr6srKyhAkTJghVqlQR/Pz8hMjISOGRRx4RduzYYbDdjz/+KDRr1kwIDg4WAgMDhUqVKgkvvPCCsHfvXrvep7Vr1+ren1OnThncd/XqVWHgwIFC9erVheDgYKFYsWJC3bp1hc8++0zIy8uza/8rV64UunfvLkRGRgq+vr5CqVKlhOeff144evSoxffh+vXrBrcXFBQIr7zyigBAeOONN4RZs2YJAIRFixaZfU5thvzly5dbbRtsZNzWOnjwoNCnTx+hRIkSgq+vrxAbGys88sgjwpw5c3TbWPq86L+uxMREoVevXkKxYsWEkJAQoV+/fsLVq1dNtl+2bJnQvn17ITQ0VPD39xfKlSsnPPXUU8L69et122RnZwtDhgwRoqOjBY1GY5CxPD09XRgyZIgQExMjBAcHC7169RKSkpJMPuO3b98WBg8eLJQoUUIICgoSWrVqJWzbtk1o27at0LZtW912YrOvz5gxw+p21t4r4+zrWitXrhTatm0rBAcHC0FBQULNmjWFjz76yGAbe/5OlugfJ7y8vITQ0FChTp06wksvvSQkJCRYfK2OZl/X2rJli9CjRw8hIiJC9/3o0aOHwT4sfS+07DkGtG3bVqhVq5bJYwcMGCCUK1fO4Lbbt28Lb775plC2bFnB19dXKFGihNCjRw/hxIkTum1yc3OFTz75RKhXr54QEBAgFCtWTKhevbrw8ssvC6dPnzbbTiIiNdEIgsQpPImIiEi1Jk6ciEmTJuH69esWa64TERGR67AkGhEREREREZFCGJQTERERERERKYTT14mIiIiIiIgUwpFyIiIiIiIiIoUwKCciIiIiIiJSCINyIiIiIiIiIoX4KN0AVygoKMCVK1cQEhICjUajdHOIiIiIiIjIwwmCgDt37iAuLg5eXlbGw+Usgj516lShcePGQrFixYTo6GjhscceE06cOGGwTUFBgfD+++8LJUuWFAICAoS2bdsKR44cMdjm/v37wvDhw4XIyEghKChI6NWrl3Dx4kW723Hx4kUBAH/4wx/+8Ic//OEPf/jDH/7whz8u/bEVu8qafb1r167o27cvmjRpgry8PIwbNw6HDx/GsWPHEBwcDAD46KOPMGXKFMyfPx9Vq1bFhx9+iK1bt+LkyZMICQkBALz66qv4559/MH/+fERGRmLUqFG4desWEhMT4e3tbbMd6enpKF68OC5evIjQ0FC5Xi4RERERERERACAjIwNlypRBWloawsLCLG7n0pJo169fR4kSJbBlyxa0adMGgiAgLi4OI0aMwDvvvAMAyM7ORkxMDD766CO8/PLLSE9PR3R0NH7++Wc888wzAIArV66gTJkyWLlyJbp06WLzeTMyMhAWFob09HQG5URERERERCQ7e+NQlyZ6S09PBwBEREQAAM6fP4/U1FR07txZt42/vz/atm2LHTt2AAASExORm5trsE1cXBxq166t24aIiIiIiIjIHbks0ZsgCBg5ciRatWqF2rVrAwBSU1MBADExMQbbxsTE4MKFC7pt/Pz8EB4ebrKN9vHGsrOzkZ2drfs9IyNDstdBREREREREJBWXjZQPHz4chw4dwi+//GJyn3FGdEEQbGZJt7bNtGnTEBYWpvspU6aM4w0nIiIiIiIikolLgvLXX38df//9NzZt2oTSpUvrbo+NjQUAkxHva9eu6UbPY2NjkZOTg9u3b1vcxtjYsWORnp6u+7l48aKUL4eIiIiIiIhIErIG5YIgYPjw4fjzzz+xceNGVKhQweD+ChUqIDY2FuvWrdPdlpOTgy1btqBFixYAgEaNGsHX19dgm5SUFBw5ckS3jTF/f3+EhoYa/BARERERERGpjaxryl977TUsXrwYy5cvR0hIiG5EPCwsDIGBgdBoNBgxYgSmTp2KKlWqoEqVKpg6dSqCgoLQv39/3baDBw/GqFGjEBkZiYiICIwePRp16tRBx44d5Ww+ERERERERkaxkDcq/+eYbAEC7du0Mbp83bx4GDhwIAHj77beRlZWFYcOG4fbt22jWrBnWrl2rq1EOAJ999hl8fHzQp08fZGVloUOHDpg/f75dNcqJiIiIiIiI1MqldcqVwjrlRERERERE5EqqrFNORERERERERA8xKCciIiIiIiJSCINyIiIiIiIiIoUwKCciIiIiIiJSCINyIiIiIiIiIoUwKCciIiIiIiJSCINyIiIiIiIiIoUwKCciIiIiIiJSCINyIiIiIiIiIoUwKCciIp1Fuy6g2xfbkJp+X+mmEBERERUJDMqJiEhn3F9HcDwlAx+vOaF0U4iIiIiKBAblRERkIjuvQOkmEBERERUJDMqJiMiEl0ajdBOIiIiIigQG5UREZMKLMTkRERGRSzAoJyIiExlZuUo3gYiIiKhIYFBOREQmNp28rnQTiIiIiIoEBuVERERERERECmFQTkRERERERKQQBuVERERERERECmFQTkRERERERKQQBuVERGSiTqkwpZtAREREVCQwKCciIhONyoUr3QQiIiKiIoFBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBORERmdBolG4BERERUdHAoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiExowExvRERERK7AoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYjIhIZLyomIiIhcgkE5ERERERERkUIYlBMREREREREphEE5ERERERERkUIYlBMREREREREphEE5ERGZYJ43IiIiItdgUE5ERERERESkEAblRERERERERAphUE5ERERERESkEAblRERERERERAphUE5ERCY0zPRGRERE5BIMyomIiIiIiIgUImtQvnXrVvTq1QtxcXHQaDRYtmyZwf0DBw6ERqMx+GnevLnBNtnZ2Xj99dcRFRWF4OBgPProo7h06ZKczSYiIiIiIiJyCVmD8nv37qFevXr4+uuvLW7TtWtXpKSk6H5WrlxpcP+IESPw119/4ddff8X27dtx9+5d9OzZE/n5+XI2nYiIiIiIiEh2PnLuvFu3bujWrZvVbfz9/REbG2v2vvT0dMydOxc///wzOnbsCABYuHAhypQpg/Xr16NLly6St5mIiIiIiIjIVRRfU75582aUKFECVatWxdChQ3Ht2jXdfYmJicjNzUXnzp11t8XFxaF27drYsWOHxX1mZ2cjIyPD4IeIiOynYaY3IiIiIpdQNCjv1q0bFi1ahI0bN2LmzJnYs2cPHnnkEWRnZwMAUlNT4efnh/DwcIPHxcTEIDU11eJ+p02bhrCwMN1PmTJlZH0dRERERERERI6Qdfq6Lc8884zu37Vr10bjxo1Rrlw5rFixAr1797b4OEEQrI7ijB07FiNHjtT9npGRwcCciIiIiIiIVEfx6ev6SpYsiXLlyuH06dMAgNjYWOTk5OD27dsG2127dg0xMTEW9+Pv74/Q0FCDHyIiIiIiIiK1UVVQfvPmTVy8eBElS5YEADRq1Ai+vr5Yt26dbpuUlBQcOXIELVq0UKqZREQejyvKiYiIiFxD1unrd+/exZkzZ3S/nz9/HgcOHEBERAQiIiIwceJEPPnkkyhZsiSSkpLw7rvvIioqCk888QQAICwsDIMHD8aoUaMQGRmJiIgIjB49GnXq1NFlYyciIiIiIiJyV7IG5Xv37kX79u11v2vXeQ8YMADffPMNDh8+jJ9++glpaWkoWbIk2rdvjyVLliAkJET3mM8++ww+Pj7o06cPsrKy0KFDB8yfPx/e3t5yNp2IiIiIiIhIdhpBEASlGyG3jIwMhIWFIT09nevLiYisKD9mBQDg5TYVMbZ7DYVbQ0REROS+7I1DVbWmnIiIiIiIiKgoYVBORESmmOmNiIiIyCUYlBMREREREREphEE5EREREREVKYcvpWPw/D04ffWO0k0hkjf7OhERERERkdr0+no7AOBYSgYSxnZQuDVU1HGknNzepduZKAJFBIiIiIhIYinp95VuAhGDcnIfG09cReKFWwa3Ld6VjFYfbcK7fx1WqFVEnknDTG+kIhdvZSInr0DpZhAREcmCQTm5hctpWRg0fy+e/CbB4PZP1p4EAPyy+6ISzSIiIpntPn8LrT/ehCdm/6d0U4iIiGTBoJzcQiqnFhERFUm/JxZ2uh69kqFwS4iIiOTBoJyIiIhUiylDiIjI0zEoJ7eWyzWGRKRyVzM408cZjMmJiMjTMSgnN2H+suxOdp6L20FEZL9Zm86g2dQNmLXpjNJNISIiIpViUE5ERC6VcT8XCWdvoqDA88dAZ6w5afB/IiIiImMMyomIyKV6z96Bft/vxOLdyUo3hdwA15QTESnvxt1s9Pk2AX/tv6R0UzwSg3IiInKpM9fuAgD+PnhF4ZYQERGRPT5efQK7z9/CW0sOKt0Uj8SgnIiITGg0LngSjoASERG5hUu3s5RugkdjUE5ERESqJbD3hohIcTvO3lS6CR6NQTkRESni6JV0pZtAREREpDgG5VSk3bybjcQLt5RuBlGRdC8nX+kmEBERESmOQTkVaS2mb8ST3yRg2+nrSjeFyK1k5uRBYFpscoHd59lxSkREno1BObkFua79s/MKAABbTjIoJ3ll5+Vj4c4LSL6ZqXRT7GItz9vxlAzUnLAGby054KrmmJWafh/TVh7HxVvu8Z46oyh3gDC5EBEReToG5URELjBr4xmMX3YE7T7ZpHRTnPbtlrMAgGUHlC1p9tLPe/Ht1nN45tsERdsht/M37qHJlPX4butZpZtCREREMmBQTkTkAgnnCrOWFnjAgKdUL6F6bIhTjz90qTBR3JX0+1I0R7VG/LofN+7mYOrKE0o3hYiIiGTAoJzcgpQ1kwVBwOojqTh/497D26TbPXmI5Qcu46PVJ4r0tGFLpHpLQgN8pdmRhzt4iVnqiYhIWZ1qxijdBI/mo3QDiOwhZVy0+eR1vLIwUbodkkd689cDAICWlaLQqkqUso1RGXZTEBERFS0RQX6y7j87Lx9+3l7QSDkS50Y4Uq5yBQUCzl2/y9E6Ce1Lvq10E8iN3LyXbXObtMwcPPLJZny69qTFbdztK2ztnKiG49Hn608p3QRSgBo+e0REJK1rd+6j2vjVGPrTXqWbohgG5So34e8jeGTmFny79ZzSTfEYBy6mmdzG6zxyxo//JeHcjXv4cuMZpZviEmr4uny+/rTSTSAFNJ26AWuPpirdDCIiktCy/ZcBAOuPX1O4JcphUK5yC3cmAwBmrLE8AkfibDt9Q+kmkIfJLyiwvQ17fhxWUCC41QjpkcvpmLLiGNKzcg1uN9chSOJcv5ONl37m8iMiIvIsXFNObsF9LseJzNufnKZ0E6Tjwi9kbn4Beny5DWUjgvHDgMaue2In9PxqOwCYBOV37uea25yIiEj15FzqrUHRXEeuj0E5EeQ90JDnc6NBXItS0+8jJtTfrm0FF0Xl+QUCEi/cxqmrd3Hq6l2XPKeUjqVkKN0EIiIi1eN1OINychNyf1c9IagictQvu5Mx9s/DGNSygu42a73W9nxfMu7n4lTqHTQqF67LpHot4z6uZhgmzruXnYcft59HtzqxqFziYd3y/AIBj8zcjAs3M0W+GvUwfp84EkBERETmMCh3E+60npKI3MuUFccBAD/+d96u7e05HPX8cjuSb2Xi82fq4/EGpQAUJukyNm3VcSzcmYyZ604haXoP3e1X0rLcOiAHgAIetomIiMgOTPTmJor6tV1Rf/2kbkXt82nP9PXkW4UBta1Af9+FNCmapErGnamcnkdERO5K1jXlPEEyKCcCXLdGljzH3qRbOHe9cJ1zVk6+7vZ72XlKNcllxEzcOXQpXbLnzS8Q7EqWdjc7D3n5tjPiy40TnIiIiGxjSM6gnIhItAs37+GpOQl4ZOYWAMD8HUm6+95bdkShVknLWqe1cawpCAJu3cvR/X79TjbsorGcDM1cQPvMtwmoM3EtLt6yPK391r0c1H5/Dbp8vtW+NjhgX/JtHLlsu7MhOy/f5jZEJJ3jKRlFomOUyNNwoJxBORGRaKetZAJPyzIdyfW0nBDGL6fC2JVo+ME6bDl1HQBwItX5rOPmZq/svXAbAPDecssdH/+duQEAOHv9ntNtMCc9Kxe9Z+9Az6+2I9/GovEkozXxvOZwTIWoYKWbQG5g66nr6PbFNnT9Qr4OOSIiuTAodxMedk1P5NasfR03nrhmcttn607J1xhFPHwH7uc+HA0e8ONuUXtJSc+y/AxW3uTNJ6+Leh4p3dabEZBXoPwU+aIgyM9b6SaQG/j30BUAwMVblo8rRI7KySvwuA528eTrWrZnz2mZOdiffFu2NiiNQTkRkcxOXr0jy36XH7iM537YZTB13BHOXGgYP/S2iLZYu3hW66WPt9fDSwfG5ETqUeTjJZLNlbQsVHtvFUYsOaB0UzyWPYne2s7YjCdm78Dmk6aDH56AQTkRkUhig1hb05wd9eavB7D9zA3MWHPC6naX07LQcvpGfLf1rCTPq51GDgBHrhiurb6VmWP24vjGXTvXmQPYdOKaw22Ve12al15Qnu9gFCAIAte9EhGpiLUcID8lXIAgAMsPXHFhi4oWe87d6Q+WB64/flXm1iiDQTkREQqzpq8/dtVgOrZU1h+Xt1c3LbPwRHXsSgYe+3o7tp++YXD/J2tO4nJaFqauNB+8mwstrZ0ftc8HAE/PSTDcl4U4tfGH663ssZD2vX9x/h78svuize2VoM24DwAFYoPyB2/qu38dQa331yDxgudOw5PKxVuZOHrF+RwF5Pk4UE7OyMy2FpQnua4hRZSY/nRPnRXDoJzcgv4X8MjldOTkSTtv1FO/4GS/YYv2YchPezH532NKN0U07cj14AV7cPBSOp6bu8vg/hyXlgdz/Mu0cOcFhx+rnY2QbibRnrHvt57DX/svOfQ8z899uG6+wMEZEL/sTgYAfLnhtEOPL0pG/3ZQ6SaQm+B5nJxhbeZTZg4raQAyz0QTsXOZJh8qjkE5uZ2eX23HqwsTlW4GeRht5nBtwGTNN1ukmQYuFW0JMktryx1ZM67EOe/DFccx4tf9Dj32+QcdEQt3Wv/7nbl2F1NWHsdbS5wP9sQuS9Aw/7pou87fUroJRFQEONrJWpTk6XXwK1vy0zP/VgzKyS1tMJPhmshV9ienWb3/3b8OK54hVD9gdGQEaee5mw49ryAAC/Tqtou1zME1ezvO3nzw/NZfrD0j6fbiNZy8MnNcv+7+h23nMHf7eZc/LznPXBlFInvl8YBu0129XCh37ktzfL525z5y8go4fR0MyomIDGgA7HIwINVavCsZT8zeIU2DHPTyz3t1/9Zf+/z5+lNIy7SdIX1PkuOdCsadZrM2nXF4X2K58mQttiSa3EnogMLcCOXHrED5MSvkfzKZvTBXXIk9Z6Vn5uLDFcfxwb/HDC4+icjz+fkwJHK13xMvoemUDag6fpXF8+Pc7ecxZMFeg2WrovO5uAl+Aos41lwkMlQgAM98t1OSfWXm5LnkO9a6ShQAw6BPP7mcfhM+X38aY/44bPB4KZtoblcz1pyU7glscOXJ2tnp6HK09M1fD8iwV9vu5+Yj4axznVnG9ro4EV52/sPpmHkuzcNAkuDlDDnBUwM9KUn9FunnDLF0Pv3g32NYf/wqlh+4LFs71MJH6QaQcvILBFR6dyUAIGl6D4VbI728/AJ8seE0WlaOQvOKkUo3hzyUtdJWNSesQc+6JSV/zjv3cxES4Kv7PcDXG4D5E9WOMzeQkn7f4LZd56UNnvRdSbNce5zkd+e+dNPzxaj+3mrdvz3xfEJEnk3kxKciSb+jVOqJX7Zmkulfa3loTM6R8qJssR0JrdzZL7uT8dXGM+gr0agneY6snHy7S59pbJwpJv591Or9/x5KsbtdtgiCgLF/HkadiWvN1ibPNqpK8N+ZG+j/wy4cvmxYS1yuuukAMHDeHtn2bYsg2F5VKuUUcrFrWL00Ghwx+luQOnnqSIwns/dPtifpFnp8uQ2JF5hEkB6yln2dCmmTygK2r43EsrU3/b+Op/6pGJQXYfojKhkKja7I6fyNTKWbQCqUm1+AGhNWo/b7a+zKtmpr+vlviY6V1rqacR9JN+6JesyG49d02eFnbXqYAf7wpXSznQzrj181u58MowQt9gaXF29lYsLyI/Y21+UEQfkpiBduWv+b9vxqu4taQmKJXY4gZ+eWmuQXCJi26jg2njB/PFELeztan56TgKNXMvDkNwkyt4jcCbOvK8tWjK9/arf3u+5uGJQTAOCln/ba3ojIA2h7evMKBGQ6cGA/e/2uJO1oNnUD2n2yGbctlDEzZ4eFNbupGffx3A+7TG6f91+So80za8CPu/FTguO1xOUm6P7joucz81xtZ2y2uL3xRQcLpFl2TqLvmaNsfYz+99tBVHp3pdkZK/ZKvHAL8/47r/rcLn8fvIxvt5zDoPnqvk5YdSRV6SaQGysqnWyeYMVh6WYgqgmDcgIA7Dyn7mlcjly0WOp161wzxurjvt54GvP+Y0mcosCez5XxFK0MCUpq3bj7cApYko2RVS1bNUFdkRTrnMiRfVcTBEHVbTQ+JMlxCegpl5WPzNzikudJSc/C5+tP4fqdbINzhr0zZPRnrIj15DcJmPTPMaw7pu4R6Ctp921vROTmWBJNHKk7ldMyTa+tsnIeXvcUhb+OrEH51q1b0atXL8TFxUGj0WDZsmUG9wuCgIkTJyIuLg6BgYFo164djh41XJ+ZnZ2N119/HVFRUQgODsajjz6KS5ccmy5KhlTeOS857Ze7TESQxW2upGXhk7WnMOmfY5zK5KHELoOSYxSrzxxx0yZPpGag2vjV+FGmziJLL/FahntdjNvzlZXyQkLsJ8MVJdFInGe/34XP15/GsEWJis1cUHNHEsDPLRUNXvyciyL1cWHaKtNZR/pJadU+o0gKsgbl9+7dQ7169fD111+bvf/jjz/Gp59+iq+//hp79uxBbGwsOnXqhDt37ui2GTFiBP766y/8+uuv2L59O+7evYuePXsiP98z1xMoTRAEj6zPumBHEmpMWI1l+y+bvV/7Zddfp8KkH55Pqb+w2Ivwrp9vk6kl1jlTq1wJYhOvOf18KjxGqOG6cvPJa25TUkz7XTT+rDvyl3X086DCj5GBq+nu1TlHRK4jCAJ+T7yEY1cybG5nr1v3ctBnTgJ+18vZo/bjpBRkDcq7deuGDz/8EL179za5TxAEfP755xg3bhx69+6N2rVrY8GCBcjMzMTixYsBAOnp6Zg7dy5mzpyJjh07okGDBli4cCEOHz6M9evXy9n0IsHcF+TVhftQ+/01OJFa+OX678wNrFLB2g1nszy+/yBD9oglB6xu5+P18CvB9UUESJ9h1NjRKxmKf9aMs7a7K/WftNUQMstv4Lw9GPPnYVmfY9PJa9hgIZGho5z5rq8+kooKY1ei/JgVoh/70eoTNi9olWSuE1EQBM4mI49i6dN8+BIrZpiz6eQ1vLZoH/45lILRvx1E9y8tDx5sOH4VDT9Yh80nr2Hb6esoP2aF1WPljDUnsTvplkH1Gld3uitBsTXl58+fR2pqKjp37qy7zd/fH23btsWOHTsAAImJicjNzTXYJi4uDrVr19ZtY052djYyMjIMfoqqKSuO4bkfdpmMWuTlF+CTtadMtl99tDBRyoIdSQCAZ3/YhVcX7cOl267JZH7q6h3sOHvD5HZHRiDWHhOf9EUvJlc8UCJ56GdYtudjJfdo6PhlR/CeSjOau9tJ0PhPpb923xXPZ4txzCfHZ0stf7HfEy/h1NU7tjd00Ivz9mDwgr2qqRzyysJEpx5v7YJWjQYv2IvuX25zmxkRJN6xKxkeOXPSEnOH42NXMtDra1bMMOetJQex4nAK3vhlv8HtU1cex7M/7DQ4NgxesBe3M3MxcN4ePD93t819/3Pwislt6u90d55iQXlqamHAFBNjmHQrJiZGd19qair8/PwQHh5ucRtzpk2bhrCwMN1PmTJlJG69+/h+23lsP3MD288YBrpHzPTKv/Cj5S+KNmP1vuTbeG/ZEaSbScgghc6fbUX/73eJLhUFAFtOFfa+aUccLt7KEr0P/ZFyJv0gc+QYOV+8K1nyfRZFxp0IjT80nVEl98wHa8Q88z8Hr6DTp1tw5pp8ga3cOn+21SBRjxzk2n9RuAB0hLYjaeOJaziRegdHVTzCT47beuo6un+5DV0+26p0U1zo4Zf+0u1MJN2453adZWrw3dZz+O/MTWw7bTrAZq96ZcJMbisKS0oVz75ufIEkCILNiyZb24wdOxbp6em6n4sXL0rSVneWly9gxpoT6P7FNmTm5Jm9ONx66rrB7+P+ejj9UBuf9p69Az/vvIBXFzk2KpCZk6ebtmKtzqAjZacGPOhU6P7lNty8m4121aLNbmfte82Rcs9ncOiwJzGYmWOUHDJzis6IhFzk+spey7iPI5edn8Jo/Fmydh57/Zf9OH3tLkYuPej088rpvWVH8Mtuy51K2uoC20/fwE8JSZI/v5RdLIaHBh7/zdlw/JrB70ongVt5OMVirhhy3MoHyxYvp4kf3HB3efkFaPXRJrT7ZLPSTXFr6Vm5uH0vB38kik/OXTzQz+S2j1eflKJZqqZYUB4bGwsAJiPe165d042ex8bGIicnB7dv37a4jTn+/v4IDQ01+PEU+QUCJiw/guUHxJ+EZm06i2MpGVi656LNE+ml21lYpDd6ZxyIWKqXbIt+0oZVRyyvVT9y+WHv+5wtZzFrs7iyM40+XI8UB8q4eOm9MXfvM0gi1yXzqjlhDRbtuoDn5+5STYD+9cYzSjdBlAKZ/lZNp25Az6+247ST07EdiV8yZR5pdsa6Y1fx884LGGtl/bj2kPrc3F2YsPwo9iZJW37zooRLq8R22BVFK41yzGgk7BZJz8zFkj3JSDdTdtLcjIicvAIMW7QPI5YcwO17OZK1g5SfKSIIApJu3HNpMk3tU+VwSYYktp6+jhd+3I1Rv4nvWD54KU36BrkBxYLyChUqIDY2FuvWrdPdlpOTgy1btqBFixYAgEaNGsHX19dgm5SUFBw5ckS3TVGz+kgqfkq4gDd/PWBxm/SsXKSkW+7dzM0XDIJPc4ynnUh1WMzNF8z+25h2lOJudh6mrzphMopvj5MOXEDrvyujHTiQkHtxZDRMzunP4/46gm2nb2Def0myPYcYJ1Lda+q0pcRTUq2L/GLDabO3C4KAezKtvRR7UerKgcv/ztiennj2muGF9RWJM3k/+Y3l8oKXbmciO8/+Tg0pA0xP9ef+ywazyKQ8HL66KBHv/HEYI341XKM6bdVx1Jiw2iTfTK5e8JRpZeYdiaf0TJHvtp5Du082Y+LfR03uS0nPwtNzduDfQ6brjsVqrzejkv1wEhOAww7OMLt0u+jN0ABkDsrv3r2LAwcO4MCBAwAKk7sdOHAAycnJ0Gg0GDFiBKZOnYq//voLR44cwcCBAxEUFIT+/fsDAMLCwjB48GCMGjUKGzZswP79+/Hcc8+hTp066Nixo5xNV61b92wnLqo3aS3ip200SHKkf1FaIAhIviVudEGqLKsG528ruwwL9AUA5LooK7S5pqRkFM2DgidLOHtT9GdfiTXI+t/XX61MDXbWhuNXUf29VbLt39XMHaamrTqO2u+vweoHM3Oc+WsaB96vLEzEsSsZGPrTXtR6fw3OiVx24+6J3mx17gLAa4v34Zst4mY6SaHWhNVo9dEmVBu/2iB4cyVBEDDi1/0Y++chRZ5fLtaWKzhDOwNv00nDTvhvt5wDAPT/fpfB7fozY6RYXkLq8dHqwprVCxIumNw3+Z9j2JN0G8MX7ze5T6zIYv66fys9O0BJgiDYdT4SczlUhN9Oh/nIufO9e/eiffv2ut9HjhwJABgwYADmz5+Pt99+G1lZWRg2bBhu376NZs2aYe3atQgJCdE95rPPPoOPjw/69OmDrKwsdOjQAfPnz4e3t7ecTVctMQGCfgIW/VJgAmyXBjN25EoGmlWMFPUYc/Sbb60ntlpM4WdArumo9rifyylMnuTI5XT0+36n0s0QTc7SUoMX7JVt30owd7zQXtC/snAfzk3t7tSFQusq0QYBw9ErGXhi9n+6knK2EvY50r9jqb0nUjOQkZWHphUiDG53ZXm7CtHBdm2nvxbQVV1c9/SmO1+7k41SxQNFPV6KM8+V9PtYdqBwNO/9XrUQ4OsZ1y37kh8uKVRyTbn+3+jlnw3z3NiTn4hco6BAQHpWLsKDTdcJW3yMlS+g3FU1iuKMmaE/JeLS7Uz8+3or+HhbHq/VwP5j49qj4isgibH7/C0k38rEU41Ky/o8riTrSHm7du10vS/6P/PnzwdQGGBOnDgRKSkpuH//PrZs2YLatWsb7CMgIABfffUVbt68iczMTPzzzz9FOpu6PSMTWpYC2rz8AuSIvHD74N9jora3hz3xtpK51qwlonM3m09ew1/7xSfb8CTW1iidSLWcQVgQBOQXCNiXfFv098ZR2m+52JFXMfbrXVh7Clszej5dZ1oGUozJZo6DYoJgcxd7giDgWoaVKd0WXlLXz7ehz7cJuGKUiOngxTS72+Os0uHiAl1AmSDOy87nrDd5raTPqz/TS8y5W+30Z4woGcBYy/FQlEc9pSDm/bNVFm/IT3vR4IN1OCDRsWlPkjznLqWn7Ctp/fGrOJF6B4dszDgR09F1T+Z8KH2+TcDo3w7ikAetP1c8+zqJI+a8/uK8PWZvv3FX/oQoe5Ju4bkfdpmU87E3j472Pjmmd+4zE4wIArDqcIrBVKlsDxopHzhvD95achAXboovNecpzMVr2o/Xj9vPW3zcPwev4JO1J9F79g7873fX5hnQTuGTwxOzd4ja3pUJdxxlqxPv602GiesGzd+DU1fvIOHsTYmyq4u//9kfdqHp1A0G1S702XrX3XXtXW5+AZ78ZgfKj1mB1xbvk7XaxUs/Jcq25t+aZXoJWe3tGHAHa45e1f376BXlpo1bq3es5Cw7T2Dvu7fxxFVUHrcKS/dYrnK08URhxn45qi84S/9jwo+M7ZlMajyOOVL+WK0YlLsZKb4Q83ckOb8TAMk3My2OMD49JwHbz9zAoPmG02P1e9muZdiegiRHB4K53trNp67h1UX78KVeIqfcAs8JyrXknvalZo4GleuPX8M3D7L/Lz9wxSXjQnKt2XSEdnbA0J/UP9XdnjqmX298+B3feOIaOn+2Ff2+34meX23H8ZQM5OYXYMeZGy6bKaNdR7vIDWvVT1lxXPRjtCOrW05eR+KFwg7SFYdSsO6YfFMdD19Ox1wzHW/WRlikuED/fP3Dz5onjZTr+9/vyq2Xt1aZgBVNXWPoT4XLBt7+45BbdNy6kiAIuHDznmQ5mVzBfVrqmRiUuxk1rXVpM2MTun6+DbeslCIxnlqpf13y2fpTNoPE8zdcM7JrrqetR52SLnluVyrK50xzJ0btLfr5F2xxxVt4OzMXeyQuHeWo3t/8B6Cwc0LtUuyoqWvtdYz49QA+Xn0C/X/Y5VASIVtT+2zFZR1mbsYbv+xH8s2HyQidudDt991OWTt4zlxzfHlFntH38V62vJ0gGWbKbKVayQTvzFTWVxcmWt032WbtusIeHCl3vTUyryGWm9Qfmfk7ktB2xmaMX35E2h2TAU9adsCg3M2osbP98u0sLD9wGU/M/s/kQsR45Mq4+YcvFU5923HmhkkADyh7YvW1kuzCXck5RVTtrL10MUH547P+k6A1tj09J0GyNXjOOHLZ/vdGac4EiUBhGcXvtxWOqK4/flXykZ9/D6VYvf/s9Xv4++AVg1kJSTetVwuw9p1OOHfTag1xJSScKyxrZXwuc6SWrbMuWpn6L+ZPb7z8ZdWRVDSftsHgNjWeu9XsspPLMhiUO8fet0//Y71Wb1mDO5I6uPtkTWGCS1sJQN2JmgYGPZHnRR0eLOnGPZsjMWJqskrpzV8PYH9yGib9Y1hTUv/Afi3jPi6nGQbtn284jR1nbqD/D7vQYvpGg8d9s/ksXv/F+ZIXjspRqIyOnJbuLbrJ3rTThPWpfbrdVTuWeNBDUv81Z2+WtpTXN0b723bafJ3vMyIS/P190Plava50MtVyci5Hp3m+8nMirt8R/12RKoGpuQSAxpgJXBqT/zmGm3ezbZa5K8od0FKQZfRR5X8S7eWAVF9Vd/zO27wkcr+X5FZkLYlG0srOK7C6pjw7Lx/Vxq+W7fktrbHUP+4cumQ56UvTqRtMbjt4MQ39f9hlZmt5k1zZw1ZGUXd04KLnZdy21/rj5nvxOc3UNmenkrqrLzacxmvtK9u9vVTXK7YCCv1jU1qme/1ttC/N3Ht1PDUDteLCRO9z9dFU+Pp44at+DZxrHJnlZ2PW2PU72YgO8be6jViW4pkf/zuP4ykZJqUAjRl/h85cu4uwQF/J2+mp/tx32fZGMC5z6xky7psuddG3L/k2GpYNd1Fr1MVWXquXf1Z/7hk140i5G9FoDJPFXLtzH2P/PKzLGvzpWufK/diSbmZNnrHLdqzptMe1O8oHSh1qxCjdBMmdva6e7Ou37+Wg/JgVKD9mhaJTbNdZCNbpoT7fJijdBGUIhbVQ1WTi30dRedwq3e8qn+xhQpvczdy5wtLMAXtclbhzzdzbejwlA5tOOpZbwXhWjq0LfzXpUivW6v3zd1iuXiGHhHM38YVeUlZz0jJzkZWTj6E/7cVn606h46db0GTKely8ZX05CDlO7TPP7HEvOw9Np5gOIOkzlzTSHHccVHZ2cH+Nmy9hUBqDcpWxlvHXS2P4hRn92yH8sjsZPb/aDgD4dus5Wdt200Im9MMSlBIyNnKp69cXGivBHnXZ5BcIaPDBOt3vSmUbf/Tr/ySbwurJnF2r7SpSXxMKEMR1SLjgKsy4eoY9Gefl4Mz0YEEQMOkf0++dU+uANUDihVuSzeq4e9+0hFq3L7bhxXl7rE7Bt6TC2JUoP2YF3n5QVvH95UdtPEI9fH2sf7D3ylA3Oie/wKms1e0+2Ywftp3DumNXDQL41h9vkqJ59IAnrTEWBODUVTu+2/Z+LN3wrXHHfhV3bLMlDMpV5J+DV1D9vdVYuPOChS00uvJEAHDSQjkyuVjKlG48yvm9UefAtYz7mLpSfOkcpXnQ91wxlnrOK7270qVtOGdhje7ltCyD7xS5N6nXQebmq/8okJ6pzIhr/DTro0nWWLqIys1z/P3eff4WnvwmAa0/2mh1u9T0+6j07kos3Wu5rjIAqyPiZ0Ws+Temzeux85xpjgul/pbO2iXDbJLes3egopPnCVdVb6FC2W5+LrV3eZ8nZfsWS42lHR3JJ6JWDMpVRJvUbPwy8+UTNBrDLNFqTQI1xSgA/33fJXwn8yi+XO640RRDtUk4exNNpmzA6iPKlkn5eecFPDJzi6JtINcoGRag6PPfyzYdXZWbEheImTl5uCbDhdBn651fgnXPSu1qAGg+bQPyCwS8baO+trVLzywbz+GolAxpln/ZKyevwOrsPDFOX72jq6aiFkqFThdu3sO0lcfNLsPbk3QLqw5br8LgVvS+KKtsnOv/3H9ZdVPc9Y+f70k8e0V94avzPPE1qQmDcjeiAeDno9yfzNEesttumiTql13JqDNxrUm5G7G6fr4V5ceswI6zjq+XdEfPzd2FG3ez8crCREXb8aWNtYfkOUICfBV9/oU7Paf0jTWfrXMueHbFeupmNhKB2aLRFE7R33D8qslIjBTl25S+uBUEAU2nrkediWtszhayZ4pyp8+2otfX27HLzAwAW+RKVqhUAPjE7B34dus5vL7YtHrM03MS8OqifRZnb7kbsZ/j2yqfDWJPxvSVh+0baHDH7Ou2urLU1aXieRiUuxEvjQa+3sp9yR09vixy0xqNa48VJqywp9yNJanp93HiwfrD/t+bzzJvye7zt3BMRP1stWFJGnI1lQ3CuIQSr/mEA2uq9X3wr/XlTAcupjm1fwCoVKKYU4/PLwB+3ZOMwQv2osmU9fjZ4rIy6cyUOVmrvrwCAWmZucjNF3A5LQvrj11F+TErkHjBdCq6mNkYz3y3U1Q7ft2djPqT1+ErGTpPnf2cOkqb12BfsuXp0FfSnE9MWFAgYPRvB+1OPKYG7himyuXG3WzVzRxwR27Z92EBg3I3otEAft7eij2/XQkwzMiUaaqf0pJu3MNbSw7oyhPdvJuN5QcuG0wHtLQO35ZrGffR59sEdP9ymyRtLdo86IhNVjmVKMxNXbuTjYMX05B44ZbF2s1SX/g5u7s/9l2yev/rv+xz7gkk8O+hK1h/7GEm4fcsLCuT0rpj0mUu/iPxkq66xbt/2a5uMeSnwlJGT35jmtjwrSXyJF7dm3QLYx7kpJlpYfaFMzPtlArKXWXbmRv4PfGSoslKxQZEaj9Cu+pqYc3RVDT+cL2ilWfMM3wH7mbnYfmBy6peyulJp30G5W5EA43F6euu6G3bcVb8tDRP1u6Tzfhr/2VdeaJnvtuJN389gE/WnNRt422rqKMFUpWWK8oEQcDfB6843DFC7seTTs72Sr6Vicdm/Ycnv0nAxL/Nr4mUOmGd3Am0pPg7Gu9jy6nraDvD/szbGfdzVZfUKDe/ADvP3UR6Zi52nrtpUK/emP4U+8U2Zqst3mV+FoAgCLKWEHtqju3KBrYS8skhJ68Af+67hNcW7cP7y+3rjBn920H0+26nQcZ47bT/7DzTgQkpckEokcOC7Gft8KEtYfzrHtd/vq0z/Fy+teQA3vy18AdQ5zlWhU1yGINyN6LRwOL0dVeUEDsowZRCKSXfdF290UOX0nDptvXn05aN+kFvKpmjQbl7rkWyzNZ7J4e/D17BG7+Yrukjz1WUs+IClpcKSf2+yN1pKMeF3+lrd3FBxDlDEOSdFnnFgbrqH68+gb7f7US9yWvR97ud+Hy941O+9V/a99sMpz+ffjAr7vtt5xQvIabEN/rbLWcxculBrDicggUJF+zq2P098RISzt00KRE78e+jqDZ+NY5eMbzd2bwMgDrmgIktiaaGNruKJ7xW7eydjScKq1Go8Ryr5lF8sRiUu5HCoNz8n+yv/Zdlf/60LHV98Ie7cIrjo1//h1YfbRKdqdbRoFwuSrWn1UebbHbqaKda6v8ssjCCY489SdKX6SH1iA01k2ldfdcLqqDG0Q1rnJ35JcWadEEA7ueqq8ST8drhBUY16+11OS0LF29b7ljp9NlWAMDUlScc2v/Hq0/grkSjuLtlKLdmy+ZT1w1+18+Pci87z2r9dIMlNBpg/oO/0RdGHSj7ktMAKJeMTilqf7WPzfpPsn3pD66oNeFxXn4BBs3fo3QznOJM56TaMCh3IxqNxmJQ7hIqO5qev+76GqRi13h7ixhqEQQBS/Yk48jldNl6WIP9lMtJ8M/BK9h08hquZtg/QjTuryM4YjTyYK9UB0aiyH1sebsdnm5U2uA25hY0r4hd9+PxWf/B2RPW5bQsbD+jTMWMvPwCbDh+Fbfu5WBP0i0sP3AZBQWCyec734E/bEp6FlpO34j2n2y2ut3IpQdE71tr9uazmLHasYDemHaEzpWMz7/at/lKWhZqvb8G/X+wnMxO/y9i6zx+JS0LdSeuxdAH6/nFUsOMuiyJSup5Iv2/zqaThp9jFfzpAACbTl43+I7ZOqQUtXOJq/ko3QCyn9Il0XKsrF9TgiMXJM46J7IjQMyaxPXHr+GdPwqTfvw9vKWo57GXVO/Yf2du4NkfduGdrtXxartKJvcvMzNzY/nBK/hh+3nRJ6OFOy9g+pN1Rbdx/XHXX8yR6/j7eKNumeL4LfFh0rCimOjNHmqccmjJF+tPS9JaMVPVXc1WCbJ5/yVhysrj8PP20p13T181LaHlSIWL1TZqSWv9uc+52XeJVjKPq8mJ1AxUjw01uM34HKX9/mhnJO48dwv/nbmBlpWj7H6etWaS+LWYvhFA4RTh1PT7iA0zM/vHCrUEdq7m5+Nl8ztkNxkPjfdyHs4Wkay9EhM7+zNbpa/DU3Ck3I1oNMoG5WrjDlndb96zP8nYydSH5c/012lJOb1N+55l5uRhf/Jt3b7vZefhwMU0u5/r2R8Ky7t9tPqEyWOu38nGiCUHTB6jrfUr9uXcc4O/M8lndOequn9HFfMzuC/E37Bf2X1CT9cS+50TBAGHLqUhPTPX5dNrP1t/SpLOFTUnJl1iI3nZyiMpAAw7wr/edMZkO0fepkn/uCZT95HL5st5nrp6B50+3YKVh1Nc0g5bun5uOvvNeARa+z7v1VsSpT0HWiMmaLZWPo0MhQX6Kt0Eu+gvf1FrMGv8GS2qHT1qwQjPjexPToOfktPXSbTe3+xw6HH6B0Ypr4m1Iyv9vt+FJ2bvwC+7Cy8On/xmBx6f9Z9DuQkysh72Bu9Pvo0mU9ZL09gH0lWWy4Bca3Crirp/25quWdTWZ9rr6BXzAZIla45exaNf/4d6k9eKrjstBU//M/53Wppp8WI7L7IU7uA8fCkdnT/bitPX7mLYIuXL3lli6Siz6eR1k9uy8/ItrkPOE1H1wJH3oyjGT/dz83Ud/Eo6e9105oox/Rw+2lOXIAjYl3wbGSq9rvH0Y6/aMcJzI2mZubh2h+tk3YmjBzj9KUXOLhswdyGmTbqmLTejree67MAV0fvX6B1FJsowCmMtqQ65l2OTuxj83sqO6Z/6U69t5SmMKubvULs8Xd/vbJee0rp4KxOvLEzU/a5Eoq1rKrjoVkr5MSuw/0ESMFvELOEqP2YFPlihXD1rAOj19XZFn99e5vr+LAVha49etZjENE/mc5ca1pS7WvX3Vlu8b92xq+j7XYLV6hCCICDpxj2nO3CvZVg/Rt3LzjO7vGTD8WvoPXuHQ9UXAPHTzW0Rmz2f5MWg3I3sOHsDE5abr0NLypIi26/+CTZDr8SDs9P0jQ/iiRceTpMzPmU4cnjWf4wcvb95Beqc9kXiBfkZTjevVybM5mP0r52MczQYT2MMDXCPaY2uJiY2cDTpFLme2LjCVr1yueTkFWD6KmkSv8lh04lr+HTtSV09ceNA5XZmDsb9ddjsY8Ws6x+ywHaWa0EQMODH3Xjuh126wDErJ99s5/SKQ+I70T3Z0J/2Yue5Wxj7p/m/FQB8tPok2n2yGV9scC5jt62g/gejMoPac9faY/bldDBn2qrjqP7eauw6p96lOeQcBuVu5N9D6liDVdSZq7n9uIRlNADDiwJn11caP37GGr2LI6P7HOl41w+Uzt+QPiO+mCmApF6fPF0PAPBovTgAwJhu1VE80M/aQwAYTgEM9DWsHlAilCPjUjv1oEa1OYcvpWPYokSL95N97Kl7bS93WLJRdfwqzNlyVulmWPTi/D34cuMZzPsvCYIgmJRz6/Hlduw8Z37GiHECL2t/DnuSj6Zn5WLLqevYfuYGrt/Nxq17OagxYTWemG14jbE/+bZDM9uUJvXnVTtL4ZZeybEbVmbaaD+HzpbRsvUqLtwyvBby8dJg1eEULN17ycIjbPt2yzkAwDQJO7hMkxqSkhiUE4n0yZqTsj+H/oHS+aDc8n3Gdx1PEbf2FJA/MUiuyrL+k33KRAQa/P7Ug/JlX/ZrgNNTuuGVtpXwfHw5dKoZg4+tZNcP8PXGxF41Ma57DZPp6Zx6Jz1rx4teX2/HysOOj/RQoUtWaoSL5UgeEDJvb9JtVBi7EodFlOE0TsBnbeq0PQqMZgZpy1UdvGTYphVuOkjzxOwdki5J067n7/7Fw4R9lq6Z/kh0PCA2Zuu67HiKYefmxduZeNWJPAr6yycYOHsulkQjEknKA2JefgG8vTQma8P0p/mKqXVujvHJwzCzu+G2V22skzJH7sDo4KV0lB+zQtbnIOl1rhmLudvPm73P90HCygBfb3z/QmMAwNt/HLK4r4EtKwAA1h03LCsktoQQkacZufQg/H28kZaVg0frxeHolQy8t+yI0s1yS+uPm5YtsyX5luHMOWdHgvXP1xor+xPTcaAmybcyceFWJipEBUu639SMh2u0zQXMhy+lY9RvByV7Plt/ZuMBjlmbnJspMmi+3tIHCWcbsFtbXThSTiSSVMfD7Lx8tP54E/p9b5rduHjQw7WxAUZTdsUynoqnj3WdSQ7v96qJ0Z2ryf48EcF++HNYC93vzD9gn0W7LqD8mBW6nwE/7la6SUWKfgAhhdcW78O4v46gzsS16PvdTpy+ZjsztKuctrIcwt2dM5P8bZsTmfXP37hnNYeGPleWBZu92bQcnzPkDgTNrfM3nk7uLFdfOV24+bDzR8rnNv6InUjJQI33VuNf5itQBINyIpFSM+5Lsi7q7d8PISX9vsW1alJR85rDTjVjlG4CyeDFlhUQ6PewM6l2qVBJ9mvuYq5h2XDdv9Vcm1pNxv1lOJK65ZRpqSd9XEJCjur02ValmyCbR2ZuMbntdyemSGfn5Rt0lO84e9PibKOONQzPnZk5eVi69yJuSpivQOvj1Setdu6rjZjZ8Y5eHV11MHu62r23/CiycvMxfPF+k/sembnZ9Q0qYhiUqxTLQKnX7vO3MGLJAaf2ce76XSzXS9KSfDMTMyysVXf2k2DtelqKeF1wooWP1otDRLDtZF/k3vx9nJvtodWmajQA04RvWpz54TjtqLk5vb5yj1JWRO5s3dGrBqO8ry3epytXChh2jhmPcL6//Cje/v0Qnpsrz6yXfAkTrsqdhyYl3XRdvyflH7H3NHfh5j2TRITOOHdd+kS+ZIhrylVq6+nraFethNLNIAuWO5n19KZeplAAGGylVIqzI93GU7n0T4hSnGbTs3JxOzMXoQHiDycaDbDvvU5m73O3deTjutfAlJXHAQBvdayKvRdu6aYy9qhTEisOu2diHrGK+T/8HMx4qi6+3nQGH1lJ5CbGS20qIjY0APGVIiXZX1GSlZOPGhNWw8dWsXcz9AMDInuN+NV0tI0sm78jCdEhlitK5BcIsLSabeWD84sjyVrtYa7zPT0rF3VLh+HQgyR04UG+uHgrE1fSstCsouVjtKMBcp6dM3bu5xYgPTMXYXrLAM2131zwbi9nBiOsuZedh682nkGPOiVRp7T5kqH2PPeWU9cx4MfdqF+mOJa91lLqZpJMOFKuUn+7YakLsi09s7COt/F1sfEaQP27j11x7iRrbfRQiqnt8dM2ouX0jRjtQBIVTxjYXPJSc/zxajyC/B9eLb3ZsQp+HtxM93ulEsWUaJrLTOxVU/dvf5+Hp5WnG5fBlv+1R2WJXr+vtxeebFQaccUDbW9MBmpMWA0AyHNwFtZ/ZxxfK0tFkzuW7FJSviAgLSvX4v3HrATc93Ly5WiSzjUzZcae/WGnLiAHCjv5W3+8Cc98txNHr0ifiO6tpfZfY5y5brsjceHOCw5fA924m2N7IwfMXHsKc7acRa+vLc9OsqfJS/YkAwAOPCgZZ5nnzCDwBAzK1YrfE4dUjVFH8GMp+23CuZsQBAE7zlhf+6p/zH3mu50G5TDEMg7K9dfdij0fCYKATSfN11pdc1R85lpP0KxiJBqVi7D6Xqp5Xb8UtNnRyXM9+8MupZtA5NHSMnORa2W68eFL6SgoEDBq6UH8+F+SrG0J8DUMDzqbyQ1w5LJhJ4H+ae6Ilezwjk5f/+egmE4e208ya9NZhzuO8iSczq/vRKrtQRh7LiesJQnUJ/dSAhKHQblKedL6F1dSy/v2884LZm/30gAfrT6JmetOWX38v0Y1SKeuOO5wW6RMTzBy6UG8OM/yVHuxPClUtfZa5Fjr3LR8hKjtB8SXk7wNalQxWtpSO0RErvK3lcCzQBCw5dR1/LHvkmzT1LXMBXW5+QWq7GDefd40Wa5x85fula5GudLs+QsYX0Oq0a8vNVe6CarDoFyl5FqvQsrSaDSYs8V2vcovN5yW7DnzrZSJEvM5+z3xEv7af1mKJj18fhWe4B1mdZmA9E+39JV49KhT0u7tB7eqKH0jZFYuMkjU9hoA3Wvb/54QEamJtXJ2gmC9xKmUzAXldSauwcs/J1p8jP753JWn9j7fJpjc9ue+S7ifWzil/8y1O9hqo8KEWEqOMEt53aTkMFb9MsUVfHZ1YqI3lfpz32V82qe+0s1wOzkqL91jrn6m3Kw9pZjmOLJm3BlJ03tAEAQIwsMToPbfxrcBhr9XfHelS9sK2Bopd1kzzEoc3xGRxSwnEFKr0uHi1o57UBcPEZGByf8eQ5Py4bY3lIC3mYSQ93MLsPaY5WVq9h5/XVFiceHOZPh4eWHio7VwLUP6MnHqmJNJnoYj5SrmTnUh1ULtI68//me+5qicrJXXU/v7pdFo4OWlgUajMfi38W3GvyvB3FupLd3V9kEpL6lMfaJO4T/sfKnB/ux/Jfk937xoLJEgUsqepNsueR5fb8snl7F/HsbSvRdNbr9z/+E16/mblstnPT7rP+caZ6e1R1ORmZOH/jLkw1B2pFy6fWm4qFxVGJSr2O7z1pOBkaliDpTlkktmjmmnirm1T1IQBAGLdyWbzXiab21atSytsZ/K+wSctmPMI1j2WktJS3j1aVwa/ZuVlWx/RFLh9R2R5/tldzLe/v2Q1W2+3XLO4n0Z910z4KTRaNDvu52y7NvRKha22HNNZLzs8EpaFj749xiSb2ZK2pYZa05Iuj9jft4MQY3xHVGxo5flTeThiaqWCFG6CTo1J6yRbF8bTlzD8MX7kGMmM2tBgYDpq07g3b8Oo8eXpmU0rCwpx73sPEXrgadm3FfsuaVmbtZBeLCf5OumAiwVqlUJJQOz4kF+yj05EZHHkPdALi6TOpCdJ77km0YDHLxkOlAhhdmbbecGkovxpcag+Xswd/t59P3OdG29LcsPWM4TNGuTvK/RnlmNverFoX01aWcaqhmDchWzlaGbTIWoaKRcav8eSjE7ZWzejiR8u9Vyr7S1kfKrdqy1OnI5HTtkqlFcKy5Ulv26yuBWjpcCi6/o2Oi5M5dKnzxdz4lHW9egbHEAwJMNS8v2HLbUdvPPk7sTBGa/J/IEcq/7fv2X/UhNt79T3pHs6bfvyVNLHIDZARJHnUy1XVNdn3EywBMPHn9F7/00lxNAS/9vq+Ys7dVjQzDjqbqY92JTpZviMgzKyaNEBLtfMisx0rNyTW5bsCPJ6mOcLcfV86vtsqzJAtRTws5Rj9aL0/1bzLu86s3W+GlwU1HZ07X0R8rFvntPNZIvYF4wqCl+eKExRnWuJttzWBLqwZ1x7kSAgEeqlVC6GUTkJHPXGlJLvmXfdOvVR1IdWvp3L0f86LoS0jJzkJtfgJT0LMn2GWhhRt0na06i6vhVVuvIq0FMqD9Wj2hjMjPQR6GcQa7CoJwAAH8Na6F0EyTRonIkZj/bUOlmuJStY5S1RG9K86TSf2L6PmqUDIWvt5dDU9FbVI4S/RhXTCkPDfBFx5ox8POR7rTi7p02RY2n54ggIumYK2VmzisLE0VPd9dydEaaKwkofC/ip21EYrI0ifyC/B5eW+gvrft60xkIAjB9lbzrxY3Z03F+ZFIX3b8tnfuD/X1QMcpzZ2MxKCcAQIOyrimzIbcm5SPQ3YHRR3eWZCO5hxJl2Oyl5ov42qVsT4XWz2ruyEupY8dzGCujVybMXObUlpXVfxFCnknFX2ciUoC2VrglN+9KX65MX8I59SdMFgRgf3IaAPPT4t/8db/ofdYo+fDawtx1lkZje5allPrZkZy2mL+P7vrlWQvbe3oyUQblRG7MnilmcmV8l4KzU+vl5O1l+/BYuUQx3b8dKS9XzoEeXx+9dpl7zkBf0x7pojLirN5Pk6kAX887/fp5e6Gxi+ooq9W73avr/t26ivhZLUSeZMaak1bvd4egWWnLD4ifJRAbGqD7t6Xz4vt/H3WwReLZew3ywwtNsOSl5hjWvrLB7dEhhUtTW1SK9Ogi8Z53VUBFVrUY9WRed4Ujl9NRb9Jam9uJLd2hTSaXm1+A/t/LU05ES66YvHiQr1OPr6IXbKuNrb4CT+9JNkd/xoAcSyJGd66KAfHlUKp4oO2N7dStdkkkTe+B/3Vx/Rp8OVSPDcHrj1TGI9VjlG6KYj56sg5eiC+PUsUD0a5aNGYVsaVURPp6fLkNi3ZdsLrN8MXiR4HJNv3rhBfn78HxFMNqTl4uvFAICfCxe9Ai0M8bzSpGmiSq+2tYC7zdtRqmPVFXjiaqBoNy8hg96hataes/bj9v9nbjg582K7a93v3zMABg44lr2HFW3l7sHJkyvDpaGu/Uh93wzbMNsfTleJfMrTd3WiwfGWT1MfonK3PT183lGJDj/PvL0OboUisGX/VrIP3OFRBupSNn+CNVMOmx2pI+n/bv6MqLI7lEFfPD6hFtEFnMv0h2CtUoGYp/X2+FPo3LIMDXG1vfbo95A5sgNMAXn/aRr+IBFRrRsYrSTSAzjl7JwP1cebO4ewI5OpL1rw22nrqObl9sQ+KFW3r3S/6UlgmFwbZW/TLFsX5kG1G7KB0ehGHtKiMsyNeTB8oZlJN76d2wlNJNUJRxb6c5q46kGvwuNrbUjqzn5SsTlCq5Yz8fL3SrUxLhweLrXTsSw5t7yA8DGlt9jKWsqlpNykeIb4hIhyZ2RnylSHz7fGP00stALzVXXjj0rGv7dTiyRMES7wcvTs1LOOwVGvCwQ8Pcn2xgi/Iua4urTehZEwsHN0XtUmG6C2FvL43u34/XNz1nffd8I5e20dMV82f1BXJfZ41KnEnBXOf8W0sO6v59LztP8ue0pEAQMKhVBTQqF473e9XEstdaorKDAycA8EQDz40DGJSTztb/tQcAzOrvuil39csUF7V9pWj7phXbGm10V/oX8Mct1LYctmgfLt1+mPzNnkDe2JHL6Ug4J09tcn1y5aCTIpbTb9r5ad3t2F6aFxMTGoCzU7tj6hN1zN5vqSTaptHtMK13HQxwQQCkH4R5ig41bJfy8pUws7y394Og3IEvwabR7SRrhyRsfOEmPlrLNe1QwKBWFRBZzHIpTi8zV8eeMDtCTfwl/F4SiXH+xj1k3HeufFy2hDXPtbzNHGOy9JLu7UmSJsu7OR1rGC5hKhAKrxn+eLUFXmxZwen9v9K2ktP7UCseyQgfPl44LbNsZBCSpvdw6TTwX19qLmr7fRfsO5DoJ+DypBJpN+/m6P5tLdhu9dEm3b+/3XpO9PP0/Go7Fu5MFv04sdQwStimajTaV4vGP8NbGdwutsNIChoNEBLgC28vDfqbyT46qlNVi2XUKkQFo1/TsvD1Nj2sMwSwrXiQ7dkRs/o3lGxdud+Dv1OwmVG+brVjTW4LC/TF4iHNkDS9ByqorCSMv4/40n6OerlNRZc9l1zsyCGpWmvfaoPPn6mvaBv+fd3wWF3Vjnwycs7ooaJp5JIDaP/JZtSduBa37uXYfoALmesMVOpyy1ImdUf5mLnG8RSe+8rILlHF/PBc83KKPPes/g3NBhDWmLuANWdq7zro07g0lr3W0u6A5IPHa6s+6dIuFWdSd4TSQXlMqD/mDWyCeS82RZ3SYQb3vdO1OkZ1qor1I9uYXbttrHPNwkDK0YDprY5VsXdcR6vbPFqfF5b2igsLsL2RHnumptcuFYb/xjziaJMMVIkp7Djs36wsHqluOErft6npRUzJsACHatS7gn6QZs93xRGtq0Rh29vtMaZbddsbu0g/M38ne5QIMfxsvtNVPa/JmtjQAFSNCcHjCk4fTZreA1F6MxPiwgJszlF6u2s1fPK0ZyeIItf7c/9l3b8/WWs9y7yrmZuN48op6/paylCFIqqY+CWG7oBBOSnGkRF5a0G5/iGoREgAPn6qHuqXKW5wwg4P8rWY+Cy+ovxrcV3JXL1LtTE3xUoKoYH2Ta9uVsE0y6dWsL8PXu9Qxe61T+WjgrFnXEesGSEugYnWmx2rWJ0GC9jf0z3lidrorXfhLFegpDb670+nmuKygLu6e0h70RTg640fBzYxus90+1iRnQyuVC1W/soXJUICUCYiSFWf5Wm9zS8xMVYixPB7XSm6GBLGPoIgP2988HhtRLrJBaa5t14/QWLPuiVlTWz3WvvCaauxYQGo+6ATdcvb7a0eF8MCfTGsXWWXzuagomfxLsdnFkp5THts1n/4OSHJ7Dkky0bNeKkMbmU4Rd2eDm+xFW8WDmmmO/aoqaPWWQzKi5judWJRJuLh9Et7LvLHda8hY4vEuXUv2+J99lxUNykfgcmPPsyifHaq4VphS1OD3VHV8auwJ0ndI+v+MtVq7lHHvg6fYH9p/97RIf7wE7G+0U/kTBHjz7ilc/mzzcphWHtx665eblNR9TNFLDH3Pnh5abDDwVFtpWuIB/v7GCy7qRYTgum9DUf6xHzOXMmRy0t7pqRXiHLfPCEbRrXVLYfx8/GCv48XSoYF4tjkrni+eTm0r2Y7n4Faje5SDQcmdMKs/g0xs089i52czpo7oDH+1+Xhxfffw1shaXoPs7Ptgv3MH9f1r32I1ELKBKIHL6bhveVHFclb8cnT9bB3fEfEV4o0uN2elyd21mT12FDsn9AZZ6Z086g15oqf1SdOnAiNRmPwExv7cD2dIAiYOHEi4uLiEBgYiHbt2uHoUdcVvPc0s59thC2j2+t+N7fuxNjQNhVNyhfYWqe9/71ODrWvno11vJtOXBe9T+NXaO3L39/B6Yhq9cYvRbMGqI+3fSekUZ2VDUKbV4xEu2rReEnmdbL2vBtju9dw6+DAnDgR67+D9C7k5w54OHK9YVRbSdtkjwZliqN85MNlECveaGUyUv7ToKaubpZZb3d1/jv0gsjkhN+6WfbykABfLHutJY5N7oJD73c2Oe9Gh1ifIaMW+q1eM6INPnisFvo2KYviQX7oUbck/H280b66PMcQa8G+cZLNwxO7PLxP73z/iIcd30hdyo9ZYfB/e+U7kOxz+qoTWKY3fd6YPdf2zjIeVPD2gsHSEq06pcJMbjPmaL+Ep60vV8WrqVWrFlJSUnQ/hw8f1t338ccf49NPP8XXX3+NPXv2IDY2Fp06dcKdO+YzT5NtXl4afNG3PqKK+dt9cVO5RIhuWtrxyV3RvU5JHJ3UxeL29gZF+qrHhiDbxvSaSlamuNjzpdZorAXlGgT6eZtNsOWuVJBHzaroYvJMydXYOV5n7gTiSt5eGsx/sSnetXM2ipQ96uaoZWawNlFjaxnWogHAF33rAzAMhqrHhmJIqwoY36MGqutNxw6zsRTi6/6O1Wm31mGg0WgMAg1z0xubV4w0uU0J1YySbIn9DHW2c5mB/nvQpZZpIjxX8HXgvKYvyM/HrWdj6f8NqsWG4Pn48ibBshKZ0EP8H35Hx3Sr7pKARKzqLlji4a7+OyN/pRdXERuQA0BuvvilhnO2nMWIJQcs3u+Kr8CLLcsb/F480HQZzkdP1kGJUNvXeSq/VHUZVQTlPj4+iI2N1f1ER0cDKLwA/fzzzzFu3Dj07t0btWvXxoIFC5CZmYnFixcr3Gr3o581+LH6pbBnXAc0LBtu9+N7NyyNpOk9EPhgRMnS+u5AX2+HvmCtq0ThXo71RBTW6rsGWZiypk8QDDOz69Neb6jwfO6w+3muWUPkKOPkalJRS3CpRtbem+JB6ih19vsr8fj2+UYY2lqeGQQda8Tg2OQueLNDFYPbx/esiSFGz2nto9SmarRd9c3NPtZGh4N+/4uaj0mOjPLoG6ui5VG2/PpSvNJNUNSUJ2rb3MbeDlEp1S4VipfbVMTkx2rpprK2qVp4Hfl8/MNEtg3L2X+9IzU15UJQm/XHryrdBEVZWutdUCDg7HXHapi7ZPq63lMMiC+HdtWiTTYpVdy+ZUdKJ/1VC1UE5adPn0ZcXBwqVKiAvn374ty5whJO58+fR2pqKjp37qzb1t/fH23btsWOHTss7i87OxsZGRkGP0XZx0/WRbnIIPw02HC6o7WThKMjiEnTe+D4B10tjtB2r1M4wtGysukoz2P1SxmsGdMK1BtZsFYf2d460SEBvkgc3xGHJ3Y2uHyIsKMkkhqI6VVNy3Sufqa78tTLn7IRjq2r1f+qWztZlwxTx5rL4kF+6FIrVpIL2ablIxAa4IPxPQyDvyA/H7uOGNa2iQx2/Jhh67XpX6So+YLe2Yspe6oV+Hpr8HTj0ja3Wzy0GY5O6mL36LtYccXVm2zPFdrZMf1biY+qRqPB2O418EJ8ed1t3z7XCIuHNsNbHavqbnu0XhxGdqpqZg/ya1peuQ4Btbt2x3KuoKLA0iF0zJ+H0GHmFof26epzxqTHahs8pzYvS+1SoXY9njF5IfvqS8moWbNm+Omnn1C1alVcvXoVH374IVq0aIGjR48iNTUVABATY3iCjYmJwYULFyzuc9q0aZg0aZKs7XYnfZqUQZ8mZUQ9JiTABzfuijtQvtezpu7flo4HHz9VD51qxuCR6oV/U/3NNJrCk2aIvw9qlAxF82kbAACVSgTjyOXCjhVvo+mD9UqH4eCldADivtT6Wa7/HNYC2bkFCH9wga1ET78Yu87dQiuZpvWSuhmvn7L2SY0MNt+xpu5Pt/SWvNwceQUCUtPv48MVxwHYDhz0Ry7Ss3JNOim/fb4RFu9KtnvZgSPc5SLFePTRkYtBa8syzk/rjtx8wa7Edi0qFR4XX2tfGWuPST/6pt9pZSv/SVEl1/FF7Ocq0M9b93nQ38fgVhXw6bpTUjbNLv5uvGxBbisOpWBWf6VboZzjKeYHDpfuvWTzsQt2JJm9Xa7KNvba/15n3M/NR3E7B7vsHVTzdIqPlHfr1g1PPvkk6tSpg44dO2LFisL1GAsWLNBtY3wwFgTB6gF67NixSE9P1/1cvHhRnsarmHb9tz3TzaTQrEKEQRkESyPaxfx98ESD0mbXaWqD4fbVSyA2LAAr3miFF+LL4cPHH5adMT7Q/DSome7fJS2s0ayrd/E01ExCrYZlww2yRap4UAoAcO3OfaWboHrGf0N3zSrujPBgP/z2Sjz+Ht7S4HiZ5+R0Y3ej0WhMMjTrOt4sBIO5+Q9vz841nZnSpVYsFgxqaneCrlpx9o0W6LNnBNq4vrlYTza0Pfpsi3HNbSn1rFsSGo3GbED+gt60ZGNipm5qZ2/Za1z3Gijm74OpLjq3qsGm0e2wc2wHu7aVcoTOuJScFMRO67WnMoDaWAryyLrQAGXGKfXPN2K9/7f5xNe/Jbog7rHS7EA/b91Alz0K1F/B1yUUD8qNBQcHo06dOjh9+rQuC7t2xFzr2rVrJqPn+vz9/REaGmrwU9Ro138/28zyhYs1Ys+rzSRIOmT8nLXiwjD5sdqoWyoM9coUR8vKkSalisKCfDFvYBO81r4Seloog1WqeCA2jmqLjaPaokl527XIVR6Ty1ZyxtW0ybbk9sHjtd3ywsoeti6Am5SPQN3SxQ1us1QuyDNYvkrQj3HV3vEGAPb0nThbu7xnXftKByrF2vnL2lKOIBGlDmvEirs+GNqmIg693xm14uTJh6E2FaOCUSEq2OnPmiN2ju2gK2PWoGxxlz8/IF0N5JIufP+6fbENPb/a5tQ+POQyQ5QGejmW7MlRJJU8GSLSS7ezJN+nnOROYusuVBeUZ2dn4/jx4yhZsiQqVKiA2NhYrFu3Tnd/Tk4OtmzZghYtWijYSs9n7/F46//a44PHauE1kTWRxfDy0mDZsBZYOLgZNBqN7uSsLcXTvnoJ/K+L9YyrFaOLoWK05czt+tS8fhMA3vz1gEMZPtWmjIPro+2h/zfsXDPG48pmaIU40LOf6GC5QjWz5xvr6PQ4pabVWUpIqc+Z65iK0cGyla+Sij3rzc2pZOexHgBamMlvYo5+TgI1ZveWy9q32tjeSI+U74yXlwYbR7XDscldrOaTkZNU1wM+Lv7MaJf8Oaqfh5WHtcfMPvWwcVRb/PFqPEqHuy6/Sp4TI+WKkvAj7abvgOQUX1M+evRo9OrVC2XLlsW1a9fw4YcfIiMjAwMGDIBGo8GIESMwdepUVKlSBVWqVMHUqVMRFBSE/v2L8AIUGxYNaWZ7I4mUjQzC83rJVZxh7dynf2L889UWyMzJt5j93VmeMhKtBl/0rY83fz1g9r4GMq7JdCRYVaPH68dh2YErFu8f0bEqTqTewdON7J+GHODrjaTpPQA4Vr7FXemXa7F1gSzVEWDxkGaoGhuCgfN2i35sWKAvdr3bAQE+0ozY/DmsBXy9vNDr6+3Y/W4Hu8rUKKlkWIDV0Vmpsgs3KheB9SPbICdPQPcvLY8uGmfldxfLXmuJx2f95/Djle7Q9PX2Mll+4imqx4bA20uDhmXD8fNOy3mSHDVo/h5sPHHN6jZ+3l7IcaAklyeKKuavSJnUXDddUlbfaBaeM5h9vZDiV66XLl1Cv379cOPGDURHR6N58+bYuXMnypUrnLb29ttvIysrC8OGDcPt27fRrFkzrF27FiEhrPloScvKzicBU/NosUajkS0gB4BONWMwd/t52fZflLStaloiA4AuKJRLrZIPp5aq95Ns26d96iMzJ99i0qqIYD8sfVnaMk3fPNsQ6Vm5GPPnYUn3q7SwIF8sHNwMvt4aXaAh52VAxxol0MLJY3GMzcDZ9it4vH4c4ooH6spfyv3dA4DS4YGipk+aC7om6CUONcfWKeq3V+Kx+/wtfLHhNHLyrAcdlUt47vVE/TLFsX5kW/xz8Aq+2HDa5vYlwwKQku543hIVXzooxs/Hy+wbs3pE4SyEraeuyxKU2wrIATAgt8CVCX8PXkxz2XNJqWvtWHzRt74kS3kYkxdSPCj/9ddfrd6v0WgwceJETJw40TUNIgDAs83KYtI/x9Csgu012M5Q4wnc344sv2QfDTToWCPGoA5pvAT5B4oKLy8NykXKN83fx0tjkvit24PcDO4alFs7uctVtcDfxwvZRoFfnF7iSSUrOnzet4HV+80F6c7OoAgQmWnaXOeDrXNDMRsds03KR6BJ+QgcT8nAv4dSzG4z9Yk6Zm/3NJVLFMNbnaraFZRXiQlxMii3/Vk/O7U7Kr270uHncIYU1xy7x3VA0ykb7N7e1mdVjddBRY3x38DXh38UWzQaDR6rX0qSfTEmL8Tow8O80laatd0D4svjr2EtsGBQU9sbS0QtpchKWcjiTo4xninsaK1tkl5RX6phT++8PdssHtoclUsUw8+DHx4vz12/p/u3XBfd+m3Tz1De6sEI/bfPN5LniWUwomMVo1usv2n2Tmm29Blf9WZr9G9muG5W7k5od/D9C/J/Ztz9uONIxYGKVvIjqOXapyh7p6thQj9LEwi+7Ge9k5Mcw0RvhRiUu7HKJYohcXxHg9ukSibi5aVBg7Lhokc8nKGW3uISoQH47ZV4PF4/TummeATjjPdcO6Qerk4+JJfbmbkAgDv380Q9ztKFgNhjUaNy4Vg/si1aV3m4XGP7mRtmt61TKkyWEdpfX2qO6rEhWDy0GRYOaYazU7ujSy1x5b7EamkhSZoUF1hSnQ8s7aZGSdOs67++1FyaJ5XQV/0aYM2INuhYw3LFGeOAwhn+Pt74Z3gryfZnibac4NwBjWV/Lksced8cOWYKgoAWlSIxvbf5731ccXXndygKYo1m6xRYWOf9aD1eF8qBl4WFGJS7sfUj20qW7IYMNSkfgY41LV8EScGVJVKUIkDAwJbl8cHjD2v6uiKnSUiAD0ICfBDk540IEbUy1UjOk5W1JE6W8gGo2UQLNVvF8tdLrmZr6qlY/7zeymSE1lH6n42GZcOxekQbtKhUOEou92jksHaVMG+gdDOpxH7OjU99q95sbXa7oQ/KIfay42JajblUetYtiWqxIfhhQGOEBZrPQO7I52lUp6rONs0pe8Z1xPlp3dGhRgwOTuisSBs61jCsPvCIhWoEu97tgEeql0CPOiWxcVQ7AOJKegoo/Gz1bVoW1WJM8xfYWxmG5GP81c9nlOhSHKwpxKDcw6jwmsJubtx0hzwf71gNeXciCIXTTJ9v/vC1umJ01stLg8TxnbB/QifFswermbXpul/qrUX2c5M8CwcvpYva3tJlQGSxhx05cSpezqJUuTYAqF4y1OLnwpHg1tlXYm7kGwBqxYXhyKQu+LJvfV0gOrhVBSefzXX038vfXolHz7olsX5kW4NtLAXrcVY6fl/vYLxc4KFSMpSDqhhdOH1bvzNa+9rCgpQpd2bMUtWOmNAA/DiwCWY92xBlH+T4aC4iNwrjDfUxzrJufMyyNFJujznPNUSwC+ucewI3TUAvOfe40iKLPOlz7M4dCo6ICnZ96Q0lje1WHeUig/CWi0Zo/Hy8DEY89TWtEIGFg11XOtAZcn4v6lkpS6eWC2Ul+Hp7Yf97nbDvvU4Od0jozzTwxEObtdckRcebrT3YU8ddq5i/DzQaDYY/UhmbRrczqDluj+qx8mdnn9irJpqUD7e6TdWYEHzdvyEqlygGP6PORnNT7zs5ONsrItgPq95sjc2j2zn0eHNm9W+I1x+pbLFaxK8vNcf/ulST7PnsYXxsfa19ZbsfGxMagLc6VkWPuiVN7tvyv3ZOtowcFRNq33XVk42sJygzToCq7/y07uheJxa/v2L+s9ymajT2jO+InWM7uP1MPVfhmvJCDMrdnJo/yM80LmPXdrXiQlGqeCDKR1pOhOKJilonxMttK2HL/9pbrT3sKktfjnc6E7fxGjS5yPkVd/eES86y9t6GB/s5dUEV4Kt3epXpy14mXLmkidYC72kW1s6KYWu03ZEyPBqNBhWigkWP5LtimdjAlhWcSqxqbuS2S23zOQWMA3pzapQMRXkrycnEig7xx6jO1VDGQqLP5hUjRQXFcqhqZmq5NW92rIJZ/Rua3F7O6FrGnlHX4kW4E1RKdUoVt7lNkJ83RnQwHBwwPpzlW/mbaTQazH62ERqXj8CJD7oa3NeqchSC/HwQ5OeD2LAAVV+jqwnfpkIMyj2Mmi6xP3yits1tNBoN/hneClv+105104x5kCBr3HHNtbE2DxKTeUrCNzVxRfnfoW0qYkB8Oclnffh6m/88eHtpMLR1BTQuF44OVhKPNShrOuJrczqnyg64+lPcg/1dMxU1yM8Hj9mZYHTSY7UAFK7tF0uJ9ZtqP8JoOyrGdRc3i8Ied7JtJ6A0DuTJMfaUEP339VYINDoeGWfAt/c7EuDrjaTpPXQ/C4cYHouLWVgSQYbUdfRXDj8tKtKzbkmL9VQtUfMH2d6SNV5eGnip/pRNjjA+8ZG61IwLxdq32iDGgRI/nqB+2eKy7Vt/hESuo1uArzcmPWa781OsFW+0RufPtprcvvTl5mhUzrGyYcuHt0LHT7dYvN/4XKb0GUGDwsznszefxcdP1XPZ837RtwHCAn3xU8IFq9v1a1oWnWrGmKyNtYc2+d3EXjUx8Z9jDrVTLLUmpd3+Tnss3JmM4Y8UjtIPbVMRU1Yel/Q57OnzrFkyBAcvpkn6vEnTezi9j/JjVkjQEvUY06262cR6JonezIyUN68o/tj3Zd8GeGL2DtGPKyoeqx+H5Qeu4FUHOhc9kbqGJos4R2pfmlDpic/T1C5lPqkQFfpxYGP8+3orl5bUI8dUjQmxuX7cHY8q9tT+bVg2HIuGNMO2t9tL/vxis/f+8Wo84itGytIWsarGhKBpedMLUEcDcqBwDbilEmqAadAm5lQmxXR5YwIKM7averM1Kkg4jVtKNgNyo4/gkpea45W2lfC/zoVrt/s3c12yUS9VzsbRoHR4EMZ0qy55lQV99izNG9u9Boa2roAOFjLAe4I3HpF/eYKtw+4rbc0Hfw2MOmj1g3JtMP6sA9+XKiKXRLiLz5+pL8l+Zj5dDyveaOXQjB9PxKBcRXwsTBkEgJfbVDT4EmhLd6hsxl+R8e/rrVHKyazMGo0GVWM8rxTK6M5V8Uj1GNQuJX7NJ5GrtawcZXGdqzOsrUk0p1G5CPzyUnNZ2uIQo9PR3vEdnd7lghebovWDXA7VYkJwflp33X0vtiyP0npZv9m/LL1mFSMxplt1XYDsyuz9Yv+eljLKS8s1r9+eqdChAb4Y16MmasWZ7/AP8oBZZyM7y5/Iz9HPdMkww+s5/U7VnwY1w/qRbe0qq2jMUw9jjzewnijPXj7eXqgVF6bKcpRKYFCuIi8/mFJmztjuNQy+BJYyz/Jj7TrGx5Dh7SvjvzGP2P34FpUi8cMLTSRulfKGP2K51A5RUaF/He7u1xuhAT4OTZM25uPthZ8HN0PS9B5Y81Ybgwux4kF+2PZ2e9QvUxwBvl5oVsH+klNyBCxKdni76rktVadw1iYzWdvtnb7++yvxaFK+cAaL0ppaKRlpy2K99ovpn7O0qZwj+Z5Equ+Ofqeqn4+XqGoPRI5iUK4ikRYuesyVb7GU0bESDxyS0X+HD07obHK/8TXG6C7VRI2exxUPRNnIIEzsVdPBFrqeFGvUSJyqLijHZMmQB8muxoksIVWUvf5giuaYbtV1t7llTK53AHTV1GONRoM/X22BQ+93QbAdQcj4HjXQpVYMetQxLUvlLCVrwEtF7CsYKVG5SnPT/e39CDUuH4HfXmmhiplWznT2tKj8sLqHmMR6ljZVIjkfAHS0ktBRjRwtA2jMmTrlRI5i15sbGNLa8gi68YVDTxkuTsh8zWZ71qwSOevJhqWRnpmLJk6M2jhqXI8aGNy6AkqGBWLC8qMuf353NKpzNbzRoYrdiS7dgbcLh/q9vDTwszOCG9K6otXzY1EnNo57o4N8s5zUmejNepukarGYv4Ol4Fvschip+Pmo8e9mWcvK1kudCoJg11RpsTlBiKTgOVcNhHkDm6g0mYpnkvMaY9Podni+eTlsf0f5pE9knquuMb29NBjapiLqlynumifUo9FoTNbakW0eEZDrfb6/ea6R6Ie7e74MJa/JPWH9sDFVxuQu4myt6orRwaKmwEupQ3X3GikHgKGtK1i8z961y80r2r98xhp3+dzrl0XVzjaoGK3OBJeezAOuHIo4vQO1cfZIco6tE2kdEdPrVr7R2vLzmLmtQlQwPni8NkqHByE6xPm1nFJoV83963JLYUB8OUSH+OPNjlw7T/Zx9yQ2jqyttVbHnKwb1q4y6pcpjkmP1nJqP0pOwR9lNBVeLSPlYpohVZulWFOu1HTqJyRK6OVK9cuEm9z2YsvyZnMdWGJPxnxP9f0LjXF+WnesfrON0k0pchiUq0yZCHGjUvqHaU6ndq0PH7e/PnBNCxlV7bH6zdYG61OdMd1C6aDz07rjhXjr5T60o39rRrRBswoRWD3CckeDJ0qa3gPnpnbHpMdqY/e7HTiCLJOQAK6q8gR1VbAm2F2FBfli2WstMaBFeVGPm/xYLZRQSSfu60ZT4dUSlIshVZP1O0esVdkBrExfV2jqhtSzL33s2N/Nu9lOPUe32rEmt73fq5ao0oZKLRdQC41GY5IHolvtWMRXjMTy11oq06gigEG5yjRxog4suVbxID+XPE9kMX9dGSFnWUqepNFobE7XbKMtZRQbgiUvx6N6bKjTIznuRnuB4sjIZ9uq0Qb/J/M6eeAIq/uFI87rWjsWM5+uh7VvuedoizvOPHshvjx2vdtB6WaYpcbvgK3DuCPLUJ5vbtq5rR/fzexTD3FhAfj4qbrmd6CyRG9Ss/WeH7mcjkYfrnfqOby8NDg+uatT+8iTKCh358Ey/eucpuUj8M1zjfDLS81RT4GldEUFg3KVsfcwoD0+C4ZD5SSjiiJ6WW3549UWorZXw/m4fzPTi40BLcozI7udvuzXAB8/VRdf9mugdFNUTQUfdZKARqPBk41Ko2qMctUDHLFpdDt8/kx99KorviaxGuhfSKvhvKHlTgPlkx6thfKRQXZXnfDVG/2e/JhpR7X+UrjqsaHYMbYD+jQuY3Zf5v5kGgAFBZaf/8QHzgWgSmtZ+eH67Z5fbZdkn4F6eRnEVMXRyrf2hnugR+sXHu/0c9cYfGXd6PvrzhiUq4wzCUHUftITOzVfbVa+2Rq14kLx3fPikx4Za1TOdM2TNa64uAoPtj7y780kgk4JC/RFn8ZlEBZomsmfpKOiOERH7cdmeqhCVDAeb1CKSVMl5k55FQa0KI/N/2uP0uFBdm3fudbD6dLmXqeoNeV6J/tnHgTub3WqanWkPMDXNDHguand7X9Shfl4yROK/PFqPFpXicL8F5uIfqxUI+X2UMPAxoeP18Znz9Sz+F6pJbeRp2NQrjJiDwPuVEt182j3ziQe4OuNFW+0NjgBu0pEMdtT5TvWKGFzmxaVLGcUfbkNSwuR8pzNVEzS6Ne0MCBQIus/ScOe9bu9G7pfIi/VsXHIcrRO+fQn62D3uA7oWTcOtUTkpVk4uJlqO5XMTec+lpKB8mNWoPyYFZI+V6NyEfh5cDNUsTFbp28T01kLnpLo7b2eNREbGmBzuyA/HzzRoLTBskz9/qUKHvJ+qB2DcpURez2qv706D8EPcaTVcbamX43pVh11ShW3uZ/IYqa9ncUerDMP9vfBqQ+7YWy36rLWqyWyxhPz67jjusLH65fCijda4deXmivdFBJpSKsKaFM1Gs3sKOukXQNtz4U7mWdrcETMdZ3BikSNBiVCCv8ui4fa/z2UaeBZNtfvOJfYzVHtH1SUGdzKtITaS20q4qU2FbH05XhZ2zDz6Xqy7j+qmB/+es36cklLbXCn2S2egmluVca4tuvTjUob/N6xRgzWH7+K/s3KmjyWX6CiSxBsXxgYl6gBgLqlw/DBYw+zyPv5eOHltpUgCAIOXUrD5pPXJW8rUZHjhodmjUaDWnHMoO6Oxvesafe2DcqGY8OotigZxqBcLmJm/1jaNNjfB0nTe2Db6et4fu5uq/vwVuG1oCPrusWoHhuCarHi8lfMHdAEd3PyEBpguqQswNcb73a3L6eAM540usaXmiDAZqUYe7777jQr150xKFeZIa0r4pO1p3S/zzDqwfr+hUbIzMnXZdEuHvTwYOLv42bdo0WE8ZTxYD/D9V9SzNYtEASb+zFeM14+Mgh/D29ldluNRoP5LzbFZ+tO4YsNp51vIJGdeOoncq1K0cVsb+QhlJi1Iqa8lq3gx1JHWbnIIFy4mQlA3lmJTzUqjd8TL4l+3EgzgwLO8vPxQk5eAarFhGDVm61FD0x5eWnMBuRSUrp/xNrSiXkDm+Dk1TuIt7KsUYurylyDQbnKmEvYoU+j0RiUtQry88G6t9rAy0vjUPkOktfiIc1Q/0Fpnb+GtcC0VScwQcQohr0EQRC9Fteerd2xtiy5N64pJyJXcNXZTUyNcVuJQCMsJGSd/2JTtP9kMwDDwRopbHu7PTafvIbyUcGIrxjpUFDerpr0pUD/Ht4S3205h7c6VVXtTFGll21a++i1r14C7avbzkVErsOg3APYSmJBjpEiNmhR+WF98QZlw51an9S0QgR2n79l9r4CwXaQ7WfUaWPP61PpeY48GENyInInts6lYqprDWldEQcvpqF7nZKi2lAhKhiligciKzcflUtIe01YJiIIz8eXt7rN7GcbYtiifRbv1wbNFaKCcfLqHUnaVT02FJ8+U1+SfclF6cEyqc6nvBZ0DQblRG7CXECvzVYqCLYvDIwPqvasEfLE4/CglqZJXci2HnVLYsWhFKWb4ZY88XtERPYRk329mL8P5r3Y1KHn+W/MIw49Tgrd65TEH6+2wJPf7DB7f2hAYbgxsnNVvPxzoiubVqSVjbCvrB+pA+c7k6yebChvEgtP0K2O8yXWCgTBZpBtPL2rth1JnNRaVsUZsWGst+kIl30SOFRORB7kg8dr295IhJMfdtX9e/3INpLu2xnVzSRa2ziqLY5N7gKfByPG2hw7zPbvGk0rRCjdBBKBQTnJqkn5cKWb4LAmDw5mcselJcMCcWhiZ8TbUb7GkppxoTZHyitGF9aZXDOiDYa2roApT9Rx+PncmTuWp1IDV2Vn9sQsr5z6R1T07H63A+YOaIx+TU2r5TjD38cbSdN7IGl6D8mnqjvD3JE7ItgPQX4PJ+WGBPji6KQu2PZOe6v7ekrmrORq8CZLz5IRTl8nWT3duAw0GqBROffrrStVPBDb32lvM/GKFEIDfB1KCLJ6RGscvpSOzjVjcOBimu72x+rH4fCldJy7cQ8A8GW/BmhYtrCDpFpsCMb1sC/ZnCcGE574mlzhjQ5VcONuDnrVE7fWUSxPzPPGjiAiz2XpmFUiNAAdisCI8LMPSvQa562Z3rsOigeZJqbTT1ZsLGl6DwDA8ZQMhxLKuRM/vYpJ/+tSDTPWnFSwNdZ54nlZjRiUk6y8vTR4pom0vcSuVDrcdetxHAkWq8eGonpsKADDg+YXfRtg7J+HdEH5o/XiHGsTgwl6ICTAF5+pPKmOPna+EJErGJcbLWq05c78fLzwy9DmyCsoQOsqtrOtB/t5415OvtzNUy39c9Rr7SvrgvInG5bGH/s8u0OCzOP0dSIPYTztV4qeTQY25CovtakIjQZ4S4Z6tkREgDzntP91qYY2VaPxVb8G0u/cDfh4PQwl4itF2hWQA8C2dywnptO/fvHA1DZWPdGglNJNMFGnlO0cROQ8jpSrWJdaMUo3gVzI6TqbRkG4mIyvljzTuAy+2XwWHWtY/yxqp5wROerd7jXwvy7VFC8hI4fG5cORcO6m0s0gIj1S1baOCPbDT4Mcy5juCcTUYddnqeY6YDjI4Kkzp0sVDzR7uxrzquhPtSf5MChXoRolQ3E8JYOZy4sYZy8POteKwbdbzyE6pDC7uBQj5eHBftj3XieH1rurlVQXYiQ9TwzIgcKpiWGBvmhfvYTSTSEikpQg84JjT13PbGlZoRrPg7xscg0G5Sr017AWuHAzE9XMlJcgz+XsQa9RuQisH9kGJcMKe1+lOo95UkAOsGY0uV6ArzeGtK6odDOIijxPDfCUJEdHt/7faebT9TDqt4N4p2t11CsThv7f78J3zzeS/DldzdL75qPCay7mF3INBuUqFODrzYCcHKJfHuWpRqXxe+Il1CwZqmCL1Ic9vkRExFOBNKQaKa8VZ/5a5clGpdG5VgxCAgor4Xj6cjlr2eml0r+ZyATM/LK4BINyIpWQ+pjXvGIktv6vPWLC/CXes3vjuYWIiEhd5g5oovt3hahgg/u0Abknm/RoLaSk30cNFwyk3L2fJ2p7Xje5BoNyIg9WNtJ1Jd2I1IDTU4nIHjxUOKZRuXAkXrgt+X5jwx7WdA/290Hi+I5FKsHYgBblXfZcfZuWsWu7ID9vZObko17p4vI2iAAwKCdSDSYgIyIiIjWb81wjNJmyXve7XJ0bkcU4y08OVWOKoUWlKLu2TRzfCVm5+Qi3kimfpMOgnEglGJK7Bjs/iIiIZwLHaCu8kHuylPXdnEA/bwT6ecvYGtJXdOaFEBGBid6IiFzhxAddEVXMH1/0ra90U0ilmlaIAAAEM/BzmQBfvtdqxZFyIol1rBGD9cevin4cg0XX4NtMRCS/AF9v7B3fUelmkMycyeOx9OV4XE7LQpzeenKS17PNyindBLKAI+VETqhXpjgAoEqJYrrbvnu+ET58vDZ2j+sgcm8MF4mIiOQiML2b5Jx9T0sVD+SyMie80rYSGpcLt3t7TkdXL46UEznh++cbYeGuZPTTy2Tp5aXBc83F90TynOQaTR5MlyMioqKL51zyBO90rYac/AJUG79a6aaQkxiUEzmhRGgARnaqKsm+eH0grz3jOuJqxn1Uj5W/BigRERGR3DQaDfx9DEe/+zUtizc6VFaoReQoTl8nUomhbSoCALrWilW4JZ4pOsQftUuFKd0MIiIiz8EVAaripQGm9a6DkmGBSjeFROJIOZFKNCkfgf3vdULxIF+lm0JERORx/Ly9EOznjczcfAYtpJgPHqslavviQb5Iy8y1a9sFg5o60iRSAQblRCoSHuyndBOIiIg8kkajwb4JnVBQAPj5cLKoo7rWisXqo6kAgAhet4j2fHx5Udt3qRkLLy8NftmdbHGbM1O64dqdbMQVZ2eTu+IRiYiIiIiKBH8fb2agdtLMPvXQqnIUvu7fAD7eDCWkZpxNXaOxPbru4+3FgNzNcaSciIiIiIjsEuzvg4VDmindDI+1YFBTHLyYhv4/7ALASgFFBbu3iIiIiIiIVCDY3wctKkfpfmcd96LBbYLy2bNno0KFCggICECjRo2wbds2pZtEREREREQkGw0YmBcFbhGUL1myBCNGjMC4ceOwf/9+tG7dGt26dUNysuWEB0REVHTx8oWIiIjchVsE5Z9++ikGDx6MIUOGoEaNGvj8889RpkwZfPPNN0o3jYiIiIiISBYcJC8aVB+U5+TkIDExEZ07dza4vXPnztixY4dCrSIiIiIiIpKXhnO/igTVZ1+/ceMG8vPzERMTY3B7TEwMUlNTzT4mOzsb2dnZut8zMjJkbSMREREREZHUWOqsaFD9SLmWcYIDQRAsJj2YNm0awsLCdD9lypRxRROJiEhhAgSlm0BEROS0eQOb4NlmZfFiy/JKN4VcQPVBeVRUFLy9vU1Gxa9du2Yyeq41duxYpKen634uXrzoiqYSERERERE5rX31EpjyRB0E+Hor3RRyAdUH5X5+fmjUqBHWrVtncPu6devQokULs4/x9/dHaGiowQ8REREREZG74apyz6f6NeUAMHLkSDz//PNo3Lgx4uPj8d133yE5ORmvvPKK0k0jIiIiIiIicphbBOXPPPMMbt68icmTJyMlJQW1a9fGypUrUa5cOaWbRkREREREROQwtwjKAWDYsGEYNmyY0s0gIiIiIiIikozbBOVERERERETu6I9XW6BcZJDSzSCVYlBOREREREQko0blwpVuAqmY6rOvExEREREREXkqBuVERERERERECmFQTkREREREpFIaFir3eAzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYjI47B8DBEReQoNT2oej0E5ERERERERkUIYlBMRkecQlG4AERERkTgMyomIiIiIiIgUwqCciIiIiIiISCEMyomIiIiIiIgUwqCciIg8xrdbzwEABK4tJyIiIjfBoJyIiDzOD9vPK90EIiIiIrswKCciIiIiIiJSCINyIiIiIiIiIoUwKCciIiIiIiJSCINyIiIiIiIiIoUwKCciIiIiInIjwX7eSjeBJOSjdAOIiIiIiIjItkblwtGncWm0qhKtdFNIQgzKiYiIiIiI3ICftxeeaVJW6WaQxDh9nYiIiIiIyA0IEJRuAsmAQTkREREREZEbEBiTeyQG5UREREREREQKYVBORERERETkgWJDAwAATctHKNwSsoZBORERERERkcTe7V5d8n2Knb3+2yvxeLVdJXz9bAPJ20LSYfZ1IiIiIiIiib3UphKeblQG4cF+0u1UZFReJiII73SVvnOApMWRciIi8jjTe9dRuglERETSBuTksThSTkREHiNpeg+lm0BERCQblkTzTBwpJyIiIiIicgMsieaZGJQTERERERERKYRBOREREREREZFCGJQTERERERGpWOeaMQCAIa0rKtwSkgMTvREREREREanYN881QmrGfZQqHqh0U0gGHCknIiIiIiJSMW8vDQNyD8agnIiIPEKJEH+lm0BEREQkGoNyIiLyCM0qRirdBCIiIiLRGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTEZFHEARB6SYQERERicagnIiIiIiIiEghDMqJiIiIiIiIFMKgnIiIiIiIiEghDMqJiIiIiIiIFKJoUF6+fHloNBqDnzFjxhhsk5ycjF69eiE4OBhRUVF44403kJOTo1CLiYiIiIiIiKTjo3QDJk+ejKFDh+p+L1asmO7f+fn56NGjB6Kjo7F9+3bcvHkTAwYMgCAI+Oqrr5RoLhEREREREZFkFA/KQ0JCEBsba/a+tWvX4tixY7h48SLi4uIAADNnzsTAgQMxZcoUhIaGurKpRERERERERJJSfE35Rx99hMjISNSvXx9TpkwxmJqekJCA2rVr6wJyAOjSpQuys7ORmJhocZ/Z2dnIyMgw+CEiIs/GKuVERETkjhQdKX/zzTfRsGFDhIeHY/fu3Rg7dizOnz+PH374AQCQmpqKmJgYg8eEh4fDz88PqampFvc7bdo0TJo0Sda2ExERERERETlL8pHyiRMnmiRvM/7Zu3cvAOCtt95C27ZtUbduXQwZMgRz5szB3LlzcfPmTd3+NBqNyXMIgmD2dq2xY8ciPT1d93Px4kWpXyYRERERERGR0yQfKR8+fDj69u1rdZvy5cubvb158+YAgDNnziAyMhKxsbHYtWuXwTa3b99Gbm6uyQi6Pn9/f/j7+4trOBEREREREZGLSR6UR0VFISoqyqHH7t+/HwBQsmRJAEB8fDymTJmClJQU3W1r166Fv78/GjVqJE2DiYiIiIiIiBSi2JryhIQE7Ny5E+3bt0dYWBj27NmDt956C48++ijKli0LAOjcuTNq1qyJ559/HjNmzMCtW7cwevRoDB06lJnXiYiIiIiIyO0pFpT7+/tjyZIlmDRpErKzs1GuXDkMHToUb7/9tm4bb29vrFixAsOGDUPLli0RGBiI/v3745NPPlGq2URERERERESSUSwob9iwIXbu3Glzu7Jly+Lff/91QYuIiMitsSYaERERuSHF65QTERERERERFVUMyomIiIiIiIgUwqCciIiIiIiISCEMyomIiIiIiIgUwqCciIiIiIiISCEMyomIiIiIiIgUwqCciIiIiIiISCEMyomIyCMILFROREREbohBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBOREReQSBFdGIiIjIDTEoJyIiIiIiIlIIg3IiIiIiIiIihTAoJyIiIiIiIlIIg3IiIiIiIiIihTAoJyIiIiIiIlIIg3IiIiIiIiIihTAoJyIiIiIiIlIIg3IiIvIIrFNORERE7ohBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBOREREREREZFCGJQTERERERERKYRBOREReQQBrIlGRERE7odBOREReYR72flKN4GIiIhINAblRETkEThSTkRERO6IQTkREXmEsEBfpZtAREREJBqDciIiIiIiIiKFMCgnIiIiIiIiUgiDciIiIiIiIiKFMCgnIiIiIiIiUgiDciIi8ggCk68TERGRG2JQTkRERERERKQQBuVEROQRbt3LUboJRERERKIxKCciIo+w6/wtpZtAREREJBqDciIiIiIiIiKFMCgnIiIiIiIiUgiDciIiIiIiIiKFMCgnIiIiIiIiUgiDciIiIiIiIiKFMCgnIiIiIiIiUgiDciIiIiIiIiKFMCgnIiIiIiIiUgiDciIiIiIiIiKFyBaUT5kyBS1atEBQUBCKFy9udpvk5GT06tULwcHBiIqKwhtvvIGcnByDbQ4fPoy2bdsiMDAQpUqVwuTJkyEIglzNJiIiIiIiInIZH7l2nJOTg6effhrx8fGYO3euyf35+fno0aMHoqOjsX37dty8eRMDBgyAIAj46quvAAAZGRno1KkT2rdvjz179uDUqVMYOHAggoODMWrUKLmaTkREREREROQSsgXlkyZNAgDMnz/f7P1r167FsWPHcPHiRcTFxQEAZs6ciYEDB2LKlCkIDQ3FokWLcP/+fcyfPx/+/v6oXbs2Tp06hU8//RQjR46ERqORq/lEREREREREslNsTXlCQgJq166tC8gBoEuXLsjOzkZiYqJum7Zt28Lf399gmytXriApKcnivrOzs5GRkWHwQ0RERERERKQ2igXlqampiImJMbgtPDwcfn5+SE1NtbiN9nftNuZMmzYNYWFhup8yZcpI3HoiIiIiIiIi54kKyidOnAiNRmP1Z+/evXbvz9z0c0EQDG433kab5M3a1PWxY8ciPT1d93Px4kW720RERERERETkKqLWlA8fPhx9+/a1uk358uXt2ldsbCx27dplcNvt27eRm5urGw2PjY01GRG/du0aAJiMoOvz9/c3mPJOREREREREpEaigvKoqChERUVJ8sTx8fGYMmUKUlJSULJkSQCFyd/8/f3RqFEj3TbvvvsucnJy4Ofnp9smLi7O7uCfiIiIiIiISK1kW1OenJyMAwcOIDk5Gfn5+Thw4AAOHDiAu3fvAgA6d+6MmjVr4vnnn8f+/fuxYcMGjB49GkOHDkVoaCgAoH///vD398fAgQNx5MgR/PXXX5g6dSozrxMREREREZFHkK0k2oQJE7BgwQLd7w0aNAAAbNq0Ce3atYO3tzdWrFiBYcOGoWXLlggMDET//v3xySef6B4TFhaGdevW4bXXXkPjxo0RHh6OkSNHYuTIkXI1m4iIiIiIiMhlNII2c5oHy8jIQFhYGNLT03Wj8ERE5BnKj1mh+3fS9B4KtoSIiIjoIXvjUMVKohEREREREREVdQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiIiIiIhIIQzKiYiIiIiIiBTCoJyIiDxCiRB/pZtAREREJBqDciIi8giPNyildBOIiIiIRGNQTkRERERERKQQBuVERERERERECmFQTkREHkEQBKWbQERERCQag3IiIiIiIiIihcgWlE+ZMgUtWrRAUFAQihcvbnYbjUZj8jNnzhyDbQ4fPoy2bdsiMDAQpUqVwuTJkzkaQkRERERERB7BR64d5+Tk4Omnn0Z8fDzmzp1rcbt58+aha9euut/DwsJ0/87IyECnTp3Qvn177NmzB6dOncLAgQMRHByMUaNGydV0IiIiIiIiIpeQLSifNGkSAGD+/PlWtytevDhiY2PN3rdo0SLcv38f8+fPh7+/P2rXro1Tp07h008/xciRI6HRaKRuNhEREREREZHLKL6mfPjw4YiKikKTJk0wZ84cFBQU6O5LSEhA27Zt4e/vr7utS5cuuHLlCpKSkhRoLREREREREZF0ZBspt8cHH3yADh06IDAwEBs2bMCoUaNw48YNjB8/HgCQmpqK8uXLGzwmJiZGd1+FChXM7jc7OxvZ2dm63zMyMuR5AUREREREREROEDVSPnHiRLPJ2fR/9u7da/f+xo8fj/j4eNSvXx+jRo3C5MmTMWPGDINtjKeoa5O8WZu6Pm3aNISFhel+ypQpI+JVEhEREREREbmGqJHy4cOHo2/fvla3MR7ZFqN58+bIyMjA1atXERMTg9jYWKSmphpsc+3aNQAPR8zNGTt2LEaOHKn7PSMjg4E5ERERERERqY6ooDwqKgpRUVFytQX79+9HQECAroRafHw83n33XeTk5MDPzw8AsHbtWsTFxVkN/v39/Q3WoRMRERERERGpkWxrypOTk3Hr1i0kJycjPz8fBw4cAABUrlwZxYoVwz///IPU1FTEx8cjMDAQmzZtwrhx4/DSSy/pAur+/ftj0qRJGDhwIN59912cPn0aU6dOxYQJE5h5nYiIiIiIiNyebEH5hAkTsGDBAt3vDRo0AABs2rQJ7dq1g6+vL2bPno2RI0eioKAAFStWxOTJk/Haa6/pHhMWFoZ169bhtddeQ+PGjREeHo6RI0caTE0nIiIiIiIiclcaQZs5zYNlZGQgLCwM6enpCA0NVbo5REQkofJjVgAAhraugHE9aircGiIiIqJC9sahitcpJyIiIiIiIiqqGJQTEZFba1ctGgDwTJOyCreEiIiISDzZ1pQTERG5wryBTXA3Ow8hAb5KN4WIiIhINI6UExGRW9NoNAzIiYiIyG0xKCciIiIiIiJSCINyIiIiIiIiIoUwKCciIiIiIiJSCINyIiIiIiIiIoUwKCci+n979xdadf3Hcfx19p+cR9wq29jSufJYOMeahqe2ygYrBUmo7ophBBlqWUQsCyKITJhWUBnRUAbRwuakPwRn4P6U1cXWiWXWNDWVVMYodS2Ybuf9u/i14drZds5pO9/vOXs+4Fz4PZ9zznu8fIFvz3YGAAAAOISlHAAAAAAAh7CUAwAAAADgEJZyAAAAAAAcwlIOAAAAAIBDWMoBAAAAAHAISzkAAAAAAA5hKQcAAAAAwCEs5QAAAAAAOISlHAAAAAAAh7CUAwAAAADgEJZyAAAAAAAcwlIOAAAAAIBD0pweIB7MTJJ06dIlhycBAAAAAMwGI/vnyD46kVmxlPf390uSCgsLHZ4EAAAAADCb9Pf3a968eRPe77Gp1vYkEAqFdPbsWc2dO1cej8fpcSZ06dIlFRYW6syZM/J6vU6Pg/+IPJMLeSYX8kweZJlcyDO5kGdyIc/omZn6+/uVn5+vlJSJf3J8VrxTnpKSooKCAqfHiJjX6+UvehIhz+RCnsmFPJMHWSYX8kwu5JlcyDM6k71DPoIPegMAAAAAwCEs5QAAAAAAOISl3EUyMzP18ssvKzMz0+lRMA3IM7mQZ3Ihz+RBlsmFPJMLeSYX8pw5s+KD3gAAAAAAcCPeKQcAAAAAwCEs5QAAAAAAOISlHAAAAAAAh7CUAwAAAADgEJbyOHv33XdVVFSkrKwslZeX66uvvpr0fHt7u8rLy5WVlaXFixfrvffei9OkiEQ0eba1tcnj8Yy7/fLLL3GcGOF0dHRo3bp1ys/Pl8fj0YEDB6Z8DN10r2jzpJvutX37dq1cuVJz587V9ddfr/Xr16unp2fKx9FPd4olT/rpXrt379by5cvl9Xrl9Xrl9/v15ZdfTvoYuule0eZJN6cXS3kcffzxx9q6datefPFFBYNBVVZWas2aNTp9+nTY8ydPntTatWtVWVmpYDCobdu26amnnlJTU1OcJ0c40eY5oqenR+fOnRu93XzzzXGaGBMZGBhQaWmp3n777YjO0013izbPEXTTfdrb27Vp0yZ99913amlp0dDQkKqrqzUwMDDhY+ine8WS5wj66T4FBQV6/fXX1dnZqc7OTt1777164IEH9NNPP4U9TzfdLdo8R9DNaWKIm9tvv902btw45trSpUuttrY27Pnnn3/eli5dOubaE088YatWrZqxGRG5aPNsbW01Sfbnn3/GYTrESpI1NzdPeoZuJo5I8qSbiaO3t9ckWXt7+4Rn6GfiiCRP+plY5s+fbx988EHY++hm4pksT7o5vXinPE4uX76srq4uVVdXj7leXV2tb775Juxjvv3223Hn77vvPnV2durKlSszNiumFkueI8rKypSXl6eqqiq1trbO5JiYIXQzOdFN97t48aIkKScnZ8Iz9DNxRJLnCPrpbsPDw2psbNTAwID8fn/YM3QzcUSS5wi6OT1YyuOkr69Pw8PDWrBgwZjrCxYs0Pnz58M+5vz582HPDw0Nqa+vb8ZmxdRiyTMvL0/vv/++mpqatH//fvl8PlVVVamjoyMeI2Ma0c3kQjcTg5np2WefVUVFhZYtWzbhOfqZGCLNk366248//qjs7GxlZmZq48aNam5u1q233hr2LN10v2jypJvTK83pAWYbj8cz5s9mNu7aVOfDXYczosnT5/PJ5/ON/tnv9+vMmTOqq6vTXXfdNaNzYvrRzeRBNxPD5s2b1d3dra+//nrKs/TT/SLNk366m8/n0w8//KALFy6oqalJNTU1am9vn3CRo5vuFk2edHN68U55nFx77bVKTU0d9y5qb2/vuP81HHHDDTeEPZ+Wlqbc3NwZmxVTiyXPcFatWqVjx45N93iYYXQz+dFNd9myZYs+/fRTtba2qqCgYNKz9NP9oskzHPrpHhkZGbrpppu0YsUKbd++XaWlpXrrrbfCnqWb7hdNnuHQzdixlMdJRkaGysvL1dLSMuZ6S0uL7rjjjrCP8fv9484HAgGtWLFC6enpMzYrphZLnuEEg0Hl5eVN93iYYXQz+dFNdzAzbd68Wfv379fBgwdVVFQ05WPop3vFkmc49NO9zEyDg4Nh76ObiWeyPMOhm/+BM58vNzs1NjZaenq61dfX25EjR2zr1q02Z84c++2338zMrLa21h599NHR8ydOnLBrrrnGnnnmGTty5IjV19dbenq6ffLJJ059CbhKtHm+8cYb1tzcbEePHrXDhw9bbW2tSbKmpianvgT8o7+/34LBoAWDQZNku3btsmAwaKdOnTIzuploos2TbrrXk08+afPmzbO2tjY7d+7c6O3vv/8ePUM/E0csedJP93rhhReso6PDTp48ad3d3bZt2zZLSUmxQCBgZnQz0USbJ92cXizlcfbOO+/YwoULLSMjw2677bYxvwakpqbG7r777jHn29rarKyszDIyMmzRokW2e/fuOE+MyUST544dO6y4uNiysrJs/vz5VlFRYV988YUDU+PfRn6tx79vNTU1ZkY3E020edJN9wqXoyTbs2fP6Bn6mThiyZN+utdjjz02+m+g6667zqqqqkYXODO6mWiizZNuTi+P2T+fsAAAAAAAAOKKnykHAAAAAMAhLOUAAAAAADiEpRwAAAAAAIewlAMAAAAA4BCWcgAAAAAAHMJSDgAAAACAQ1jKAQAAAABwCEs5AAAAAGDW6ejo0Lp165Sfny+Px6MDBw5E/Rxmprq6Oi1ZskSZmZkqLCzUa6+9FtVzpEX9qgAAAAAAJLiBgQGVlpZqw4YNevDBB2N6jqefflqBQEB1dXUqKSnRxYsX1dfXF9VzeMzMYnp1AAAAAACSgMfjUXNzs9avXz967fLly3rppZf04Ycf6sKFC1q2bJl27Nihe+65R5L0888/a/ny5Tp8+LB8Pl/Mr823rwMAAAAA8C8bNmzQoUOH1NjYqO7ubj388MO6//77dezYMUnSZ599psWLF+vzzz9XUVGRFi1apMcff1x//PFHVK/DUg4AAAAAwFWOHz+ujz76SPv27VNlZaWKi4v13HPPqaKiQnv27JEknThxQqdOndK+ffvU0NCgvXv3qqurSw899FBUr8XPlAMAAAAAcJXvv/9eZqYlS5aMuT44OKjc3FxJUigU0uDgoBoaGkbP1dfXq7y8XD09PRF/SztLOQAAAAAAVwmFQkpNTVVXV5dSU1PH3JednS1JysvLU1pa2pjF/ZZbbpEknT59mqUcAAAAAIBYlJWVaXh4WL29vaqsrAx75s4779TQ0JCOHz+u4uJiSdLRo0clSQsXLoz4tfj0dQAAAADArPPXX3/p119/lfT/JXzXrl1avXq1cnJydOONN+qRRx7RoUOHtHPnTpWVlamvr08HDx5USUmJ1q5dq1AopJUrVyo7O1tvvvmmQqGQNm3aJK/Xq0AgEPEcLOUAAAAAgFmnra1Nq1evHne9pqZGe/fu1ZUrV/Tqq6+qoaFBv//+u3Jzc+X3+/XKK6+opKREknT27Flt2bJFgUBAc+bM0Zo1a7Rz507l5OREPAdLOQAAAAAADuFXogEAAAAA4BCWcgAAAAAAHMJSDgAAAACAQ1jKAQAAAABwCEs5AAAAAAAOYSkHAAAAAMAhLOUAAAAAADiEpRwAAAAAAIewlAMAAAAA4BCWcgAAAAAAHMJSDgAAAACAQ1jKAQAAAABwyP8Aa4gSYc/au9UAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "(merged.price_perp_binance - merged.price_perp_okx).plot(title=\"Binance vs OKX Perpetual Price Difference\", figsize=(12, 6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "#merged.set_index(\"timestamp\")[[\"price_spot_binance\", \"price_spot_okx\", \"price_perp_binance\", \"price_perp_okx\"]].plot(figsize=(15, 10), title=\"Price Comparison Binance Spot, OKX Spot, Binance Perpetual, OKX Perpetual\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "merged.price_spot_binance.plot()\n",
    "merged.price_spot_okx.plot()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "merged = merged.groupby(\"timestamp\").last().reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "N = 500\n",
    "M = 2\n",
    "lags = np.arange(1, N, M)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "corrs = {}\n",
    "corrs[\"spot_okx_spot_binance_corr\"] = {}\n",
    "corrs[\"spot_binance_spot_okx_corr\"] = {}\n",
    "corrs[\"spot_binance_spot_binance_corr\"] = {}\n",
    "corrs[\"spot_okx_spot_okx_corr\"] = {}\n",
    "rets = np.log(merged[[\"price_spot_okx\",\"price_spot_binance\"]]).diff().dropna()\n",
    "for lag in lags:\n",
    "    roll_sum = rets.rolling(window=lag).sum()\n",
    "    roll_sum[\"spot_okx_lead\"] = roll_sum[\"price_spot_okx\"].shift(lag)\n",
    "    roll_sum[\"spot_binance_lead\"] = roll_sum[\"price_spot_binance\"].shift(lag)\n",
    "    roll_sum = roll_sum.dropna()\n",
    "    corrs[\"spot_okx_spot_binance_corr\"][lag] = np.corrcoef(\n",
    "        roll_sum[\"spot_okx_lead\"], roll_sum[\"price_spot_binance\"]\n",
    "    )[0, 1]\n",
    "    corrs[\"spot_binance_spot_okx_corr\"][lag] = np.corrcoef(\n",
    "        roll_sum[\"spot_binance_lead\"], roll_sum[\"price_spot_okx\"]\n",
    "    )[0, 1]\n",
    "    corrs[\"spot_binance_spot_binance_corr\"][lag] = np.corrcoef(\n",
    "        roll_sum[\"price_spot_binance\"], roll_sum[\"spot_binance_lead\"]\n",
    "    )[0, 1]\n",
    "    corrs[\"spot_okx_spot_okx_corr\"][lag] = np.corrcoef(\n",
    "        roll_sum[\"price_spot_okx\"], roll_sum[\"spot_okx_lead\"]\n",
    "    )[0, 1]\n",
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.plot(lags, list(corrs[\"spot_okx_spot_binance_corr\"].values()), label=\"OKX Lead\")\n",
    "plt.plot(lags, list(corrs[\"spot_binance_spot_okx_corr\"].values()), label=\"Binance Lead\")   \n",
    "plt.plot(lags, list(corrs[\"spot_binance_spot_binance_corr\"].values()), label=\"Binance Self\")\n",
    "plt.plot(lags, list(corrs[\"spot_okx_spot_okx_corr\"].values()), label=\"OKX Self\")   \n",
    "plt.title(\"Correlation of Returns with Different Lags\")\n",
    "plt.xlabel(\"Lag \")\n",
    "plt.ylabel(\"Correlation Coefficient\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                max_corr  lag\n",
      "spot_okx_spot_binance_corr      0.338688   19\n",
      "spot_binance_spot_okx_corr      0.433230   17\n",
      "spot_binance_spot_binance_corr  0.256910   25\n",
      "spot_okx_spot_okx_corr          0.223292   25\n"
     ]
    }
   ],
   "source": [
    "max_corrs=print(pd.concat([pd.DataFrame(corrs).max(), pd.DataFrame(corrs).idxmax()],axis=1, keys=[\"max_corr\", \"lag\"]))\n",
    "max_corrs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "merged.timestamp.astype(int).diff(21).dropna().hist(bins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count                      1156718\n",
       "mean     0 days 00:00:02.614175295\n",
       "std      0 days 00:00:02.181192642\n",
       "min         0 days 00:00:00.021000\n",
       "25%         0 days 00:00:00.931000\n",
       "50%         0 days 00:00:02.062000\n",
       "75%         0 days 00:00:03.754000\n",
       "max         0 days 00:00:21.208000\n",
       "Name: timestamp, dtype: object"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "merged.timestamp.diff(21).describe()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ret_period = 21\n",
    "roll_sum = rets.rolling(window=ret_period).sum()\n",
    "roll_sum[\"spot_okx_lead\"] = roll_sum[\"price_spot_binance\"].shift(ret_period)\n",
    "roll_sum = roll_sum.dropna().drop(columns=[\"price_spot_binance\"])\n",
    "\n",
    "corr_period = 10000\n",
    "corr_matrix = roll_sum.rolling(window=corr_period).corr()\n",
    "# Get the [1, 0] entry for each first-level index (row)\n",
    "corr_10 = corr_matrix.xs(key=\"spot_okx_lead\", level=1)[\n",
    "    \"price_spot_okx\"\n",
    "]\n",
    "corr_10.plot(figsize=(14, 6), title=\"Binance lead Rolling Correlation\")\n",
    "plt.xlabel(\"Index\")\n",
    "plt.ylabel(\"Correlation\")\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "merged.timestamp.astype(int).diff().dropna().hist(bins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0         2025-06-03 00:00:04.714\n",
       "1         2025-06-03 00:00:04.728\n",
       "2         2025-06-03 00:00:04.733\n",
       "3         2025-06-03 00:00:04.741\n",
       "4         2025-06-03 00:00:04.741\n",
       "                    ...          \n",
       "3651555   2025-06-04 15:59:58.823\n",
       "3651556   2025-06-04 15:59:58.989\n",
       "3651557   2025-06-04 15:59:59.124\n",
       "3651558   2025-06-04 15:59:59.268\n",
       "3651559   2025-06-04 15:59:59.286\n",
       "Name: timestamp, Length: 3651560, dtype: datetime64[ns]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "merged.timestamp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "((0.001*merged.timestamp.astype(int).diff()).rolling(100).median()).plot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}