Results.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You will find in this notebook the code to be executed to obtain the results in section IV of our report."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import library_data as data \n",
    "import library_plot as plot\n",
    "import library_stats as stats\n",
    "import library_stylized_facts as sf\n",
    "import library_te as te \n",
    "import library_lead_lag_analysis as llr\n",
    "from datetime import datetime\n",
    "import pandas as pd\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A. In-Depth Analysis of Bitcoin"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get daily and intraday data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are no NaN values in the dataframe\n"
     ]
    }
   ],
   "source": [
    "start = \"2018-12-31\"\n",
    "btc_daily = data.get_daily(\"BTC-USD\", start)\n",
    "\n",
    "path_file = \"data/raw/intraday_historical/BTC_intraday.csv\"\n",
    "btc_intraday = data.get_btc_intraday(path_file)\n",
    "\n",
    "btc_daily, btc_intraday = data.intersection_timeframes(btc_daily, btc_intraday)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison of daily and intraday data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.compare_daily_intraday(\"Close\", btc_daily, btc_intraday)\n",
    "plot.compare_daily_intraday(\"Volume\", btc_daily, btc_intraday)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bitcoin’s analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "type": "scatter",
         "x": [
          "2018-12-31T00:00:00+00:00",
          "2019-01-01T00:00:00+00:00",
          "2019-01-02T00:00:00+00:00",
          "2019-01-03T00:00:00+00:00",
          "2019-01-04T00:00:00+00:00",
          "2019-01-05T00:00:00+00:00",
          "2019-01-06T00:00:00+00:00",
          "2019-01-07T00:00:00+00:00",
          "2019-01-08T00:00:00+00:00",
          "2019-01-09T00:00:00+00:00",
          "2019-01-10T00:00:00+00:00",
          "2019-01-11T00:00:00+00:00",
          "2019-01-12T00:00:00+00:00",
          "2019-01-13T00:00:00+00:00",
          "2019-01-14T00:00:00+00:00",
          "2019-01-15T00:00:00+00:00",
          "2019-01-16T00:00:00+00:00",
          "2019-01-17T00:00:00+00:00",
          "2019-01-18T00:00:00+00:00",
          "2019-01-19T00:00:00+00:00",
          "2019-01-20T00:00:00+00:00",
          "2019-01-21T00:00:00+00:00",
          "2019-01-22T00:00:00+00:00",
          "2019-01-23T00:00:00+00:00",
          "2019-01-24T00:00:00+00:00",
          "2019-01-25T00:00:00+00:00",
          "2019-01-26T00:00:00+00:00",
          "2019-01-27T00:00:00+00:00",
          "2019-01-28T00:00:00+00:00",
          "2019-01-29T00:00:00+00:00",
          "2019-01-30T00:00:00+00:00",
          "2019-01-31T00:00:00+00:00",
          "2019-02-01T00:00:00+00:00",
          "2019-02-02T00:00:00+00:00",
          "2019-02-03T00:00:00+00:00",
          "2019-02-04T00:00:00+00:00",
          "2019-02-05T00:00:00+00:00",
          "2019-02-06T00:00:00+00:00",
          "2019-02-07T00:00:00+00:00",
          "2019-02-08T00:00:00+00:00",
          "2019-02-09T00:00:00+00:00",
          "2019-02-10T00:00:00+00:00",
          "2019-02-11T00:00:00+00:00",
          "2019-02-12T00:00:00+00:00",
          "2019-02-13T00:00:00+00:00",
          "2019-02-14T00:00:00+00:00",
          "2019-02-15T00:00:00+00:00",
          "2019-02-16T00:00:00+00:00",
          "2019-02-17T00:00:00+00:00",
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     "metadata": {},
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   ],
   "source": [
    "plot.annotated_btc(btc_daily)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison with traditional financial markets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "----- BTC daily - Close Price -----\n",
      "Mean :\t 23850.59\n",
      "Std:\t 16477.98\n",
      "Ratio :\t 69.09%\n",
      "\n",
      "----- BTC daily - Close Price -----\n",
      "Mean :\t 3690.68\n",
      "Std:\t 623.61\n",
      "Ratio :\t 16.90%\n",
      "\n",
      "----- BTC daily - Close Price -----\n",
      "Mean :\t 115.92\n",
      "Std:\t 44.95\n",
      "Ratio :\t 38.78%\n",
      "\n"
     ]
    }
   ],
   "source": [
    "stats.compare_btc_sp500_aapl(btc_daily)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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         "layout": {
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           "baxis": {
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            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
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            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
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        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gspc_daily = data.get_daily(\"^GSPC\", start)\n",
    "plot.annotated_btc_sp500(btc_daily, gspc_daily)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## B. Stylized facts on Price Movements"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Get intraday data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There are no NaN values in the dataframe\n"
     ]
    }
   ],
   "source": [
    "cryptos = ['btc', 'ltc', 'ada', 'eth']\n",
    "\n",
    "path_btc = \"data/raw/intraday_historical/BTC_intraday.csv\"\n",
    "path_ltc = \"data/raw/intraday_historical/LTC_intraday\"\n",
    "path_ada = \"data/raw/intraday_historical/ADA_intraday\"\n",
    "path_eth = \"data/raw/intraday_historical/ETH_intraday\"\n",
    "\n",
    "# Load data\n",
    "df_btc = data.get_btc_intraday(path_btc)\n",
    "df_ada = pd.read_parquet(path_ada)\n",
    "df_ltc = pd.read_parquet(path_ltc)\n",
    "df_eth = pd.read_parquet(path_eth)\n",
    "\n",
    "#Select right timeframe for BTC \n",
    "start_date = datetime(2021, 1, 1)\n",
    "end_date = datetime(2022, 1, 1)\n",
    "df_btc = data.filter_timeframes(start_date, end_date, df_btc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Heavy-tailed distribution of logreturns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Convert to logreturns \n",
    "for crypto in cryptos:\n",
    "    locals()[f'df_{crypto}'] = sf.logreturns(locals()[f'df_{crypto}'], \"Close\")\n",
    "\n",
    "plot.logreturns(df_btc, df_ada, df_eth, df_ltc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Complementary ECDF method "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BZ2dnREVF4dixYwYd486dOwgJCYGfnx/mz58PT09Po7ISEenD11c7E58g2PZVhskKxpo1azB9+nQAwPPPP4/Nmzcb9X/ulZWVCAkJQVJSUqOfb926FfHx8UhISMDJkycREhKCoUOH4tatW7pt6ton/rgUFBQAANq1a4fs7Gzk5eVh06ZNKCoqMuKMiYj0N3Kk9rWR/we2HYIJlJaWCp07dxY0Go1u3QsvvCB8++23zdovAGH79u311kVGRgqzZs3S/azRaAS5XC4kJiYadYyZM2cKX375ZZOf379/X1Cr1bolPz9fACCo1WqjjkdE9unoUUEABKF1a0GorBQ7TX1qtVqv7zWTXGG0a9cOFy9ehFT62+4+//xzjBgxwhS716murkZWVhaUSqVunVQqhVKpRGZmpl77KCoqQnl5OQDtQIkZGRno2rVrk9snJibCzc1Nt/j7+zfvJIjILkVEAP7+wN27tjt6rU113CspKYFGo4G3t3e99d7e3igsLNRrH1evXsXAgQMREhKCgQMHYvbs2ej1kOmwFi5cCLVarVvy8/ObdQ5EZJ8kEmDMGO37bdvEzWIso8aSunr1Kk6fPg1vb29ERkaaOpNZRUZGQqVS6b29k5MTnJyczBeIiOzGqFHa0Wv37LHN0WsNvsLYvHkzunTpgjFjxiA6Ohrh4eEoLi42R7YGPD09IZPJGjRSFxUVwcfHxyIZiIiMNXAg4OgI3LgB/Pyz2GkMZ3DBePfdd/H8888jJycHe359PmyBhSasdXR0RFhYGNLS0nTramtrkZaWhujoaItkICIyVqtW2tFrAeB3X2M2w+CCcfnyZSQkJKBLly4YPHgwPv/8c2zZssVkgSoqKqBSqXS3jfLy8qBSqXQdAePj45GcnIz169fj/PnzmDlzJiorKzFt2jSTZSAiMpdBg7SvBw6IGsM4hj5+JZFIhKKionrrnJ2dhZs3bxq6q0YdOHBAANBgiYuL022zatUqoWPHjoKjo6MQGRkpHDlyxCTH1oe+j58RETUmK0v7eK2DgyDk5YmdRkvf7zWDZ9yTSqV477330L9/f/Tu3Rtt27aFi4sLsrOz0alTJ5MXNGvDGfeIqLmUSu0tqVmztI3gYtP3e83gW1IDBw7Ev/71LwwYMADt2rVDUFAQ7t+/j7Vr1+LAgQO6Pg5ERNS4117Tvtpafwyj5vQGgNzcXGRlZeHkyZO65c6dO5BKpQgKCsL58+dNndUq8AqDiJqrtBTo0AGoqdE+LRUUJG4es87pDQBBQUEICgrCc889p1uXl5eHEydO4NSpU8buloioxXN3BwYPBr7/Hti8GVi0SOxE+jH6CuPcuXPo1q1bveFA7AGvMIjIFDZsAOLigO7dgbNnxe3EZ/YrjODgYDg7O6NHjx4ICQmpt7Rr187Y3RIR2YUxY7Sd+M6fB86cAR4yQpHVMPry4ODBg3B1dYWvry/Ky8uRnJyM2NhYtG/fHl27dsU777yDO3fumDAqEVHL4eYGDBumfb9pk7hZ9GV0wZg7dy5Wr16NHTt24IsvvsBPP/2EvXv3IjAwEFOmTEFGRgb69OljsWFDiIhszeTJ2tctW7RjS1k7owtGTk4OevbsWW/d4MGDsWLFCmRnZyM9PR3h4eF46623mh2SiKglGjFCe1vqyhXg3Dmx0zya0QUjLCwMGzdubLA+ODgYe/bsgUQiwfz587Fv375mBSQiaqnattV24gOARr5OrY7RBWPZsmVYvnw5XnzxReTk5ADQTnC0YsUKeHh4AAC8vLw4/SkR0UM8+6z29ccfxc2hD6OfkoqKikJmZibmzp2LHj16wMnJCTU1NXBwcEBKSgoA4NSpU5DL5SYLS0TU0tQNtH38OPDgAfDYY+LmeRijCwagvf2UlpaGq1evIjs7GzKZDGFhYbq5Kby8vPDvf//bJEGJiFqirl2Bdu2AO3e0/TFCQ0UO9BDNKhh1AgICEBAQ0GD9wIEDTbF7IqIWSyoFQkKAgweBU6esu2AY3YZRU1ODxYsXIzo6Gk8++STi4uKwd+9eU2YjIrILfftqX7/9Vtwcj2J0wViwYAE++ugjDB48GGPHjkVVVRVGjhyJadOmwcjRRoiI7NLYsdrXb77RtmNYK6NvSW3atAlbtmzBU089pVuXl5eHkSNHYtmyZZg/f75JAhIRtXRRUYCLC1Berr0tFRkpdqLGGX2FUVlZCT8/v3rrAgMDsWrVKnz66afNDkZEZC8kEuDpp7Xvd+4UN8vDGF0wBgwYgPXr1zdYHxgYiIKCgmaFIiKyN/37a19PnhQ3x8MYfUuqbprW0tJSzJ49G0FBQXjw4AFWrVqFHj16mDIjEVGLFxWlfT1xQtwcD2P0FUZwcDDS09Nx+PBhdO3aFc7OzmjdujU+++wzrFy50oQRiYhavp49AZkMuHkTOHZM7DSNM+gKY/z48QgNDUVoaChCQkLQp08fnDhxAhcuXMDZs2fh4uKCqKgoTixERGQgNzdg4kTtyLVJSdbZ8G3QFUbnzp3xww8/4NVXX0VgYCA8PDwQGxuL1atXo6ysDF5eXmjVqpW5shIRtWiTJmlfd+zQzvdtbYyeovXGjRtQqVT1lsuXL8PBwQHdunVDdna2qbNaBU7RSkTmolYDjz8O3LunncL1xRctc1yzT9Hq6+sLX19fjBgxQreuoqICKpWqxRYLIiJzcnMDXngBWLMGyM62XMHQl0nGkqrTtm1bDBgwAAMGDDDlbomI7EZwsPb16lVxczTG6KekiIjI9OrGcWXBICKih2LBICIivdQVjFu3gLt3xc3yRywYRERWxN1duwDAr7NfWw27LBgKhQK9e/dGaGgoYmNjxY5DRKQjkQBBQdr31vbAqUmfkrIlhw8fRtu2bcWOQUTUQOfO2uFBFi0Chg4F5HKxE2nZ5RUGEZE1W74c6NIFuH4d+PhjsdP8xuoKRkZGBkaNGgW5XA6JRILU1NQG2yQlJUGhUMDZ2RlRUVE4ZuBIXRKJBDExMYiIiMDGjRtNlJyIyDR8fIAZM7Tvc3PFzfJ7VndLqrKyEiEhIXj55Zcxfvz4Bp9v3boV8fHx+PjjjxEVFYWVK1di6NChuHDhAjp06AAACA0NRU0jA7Hs2bMHcrkchw4dgq+vL27evAmlUolevXqhd+/ejeapqqpCVVWV7ueysjITnSkRUdMUCu1rXp6oMeoTrBgAYfv27fXWRUZGCrNmzdL9rNFoBLlcLiQmJhp1jHnz5gkpKSlNfp6QkCAAaLCo1WqjjkdEpI+TJwUBEARvb/MfS61W6/W9ZnW3pB6muroaWVlZUCqVunVSqRRKpRKZmZl67aOyshLl5eUAtGNf7d+/Hz179mxy+4ULF0KtVuuW/Pz85p0EEZEe6q4wioqspz+G1d2SepiSkhJoNBp4e3vXW+/t7Y0cPR9YLioqwrhx4wAAGo0G06dPR0RERJPbOzk5wcnJyfjQRERGcHfXDkaoVmt7fXfvLnYiGysYptCpUyeOpktENkGh0PbFyMuzjoJhU7ekPD09IZPJUFRUVG99UVERfHx8REpFRGQegYHa1ytXRI2hY1MFw9HREWFhYUhLS9Otq62tRVpaGqKjo0VMRkRkeo8/rn0tLBQ3Rx2ruyVVUVGBixcv6n7Oy8uDSqWCh4cHOnbsiPj4eMTFxSE8PByRkZFYuXIlKisrMW3aNBFTExGZnkymfTVuXlTTs7qCceLEiXrjO8XHxwMA4uLisG7dOkyaNAnFxcVYtGgRCgsLERoait27dzdoCCciailYMJowaNAgCI/403n99dfx+uuvWygREZE4JBKxE9RnU20YRET2pO6J/vv3xc1RhwWDiMhKubpqX61lRCIWDCIiK+Xmpn1Vq8XNUYcFg4jISvEKg4iI9FJ3hcGCQURED1V3hcFbUkRE9FAuLtrXigpxc9RhwSAislLSX7+hraXjHgsGERHphQWDiIj0woJBRER6YcEgIiK9WN3gg9aubmDEMmt5MJqIWqy6p6Nqa83bF6Pu++xRA7+yYBiovLwcAODv7y9yEiKyF9ev/9aJz5zKy8vh9pADSYRHlRSqp7a2FgUFBXBxcYHE2sYeNkBZWRn8/f2Rn58P17reQS1ESz43gOdny6z13ARBQHl5OeRyOaTSplsqeIVhIKlUCj8/P7FjmIyrq6tV/cM1pZZ8bgDPz5ZZ47k97MqiDhu9iYhILywYRESkFxYMO+Xk5ISEhAQ41U3p1YK05HMDeH62zNbPjY3eRGa2bt06TJs2rcnPhw4diu+///6R+4mLi8O6deswaNAglJSU4MyZMw22uXLlCgIDA/H+++9j3rx5zcpN9Eds9CaykP/+7/9GYGBgg/UBAQGYMmWK7ue8vDwsWrQIr732GgYOHKhb37lzZ4vkJGoKCwaRhQwbNgzh4eGNfvb7wnDixAksWrQI0dHR9QoJkdjYhkFERHrhFQaRhajVapSUlNRbJ5FI0L59e4P3pdFoGuwLAEpLS43OR/QoLBhEFqJUKhusc3Jywv379w3eV05ODry8vEwRi0hvLBhEFpKUlIQuXbrUWyeTyYzal0KhQHJycoP1RUVFbPcgs2HBILKQyMjIJhu9DdWmTZtGr1iuXLlikv0TNYaN3kREpBcWDCIi0gsLBhER6YVtGEQWsmvXLuTk5DRY369fP3Tq1EmERESGYcEgspBFixY1uj4lJYUFg2wCBx8kIiK9sA2DiIj0woJBRER6YcEgIiK9sGAQEZFeWDCIiEgvfKzWQLW1tSgoKICLiwskEonYcYiImk0QBJSXl0Mul0Mqbfo6ggXDQAUFBfD39xc7BhGRyeXn58PPz6/Jz1kwDOTi4gJA+wfr6uoqchoiouYrKyuDv7+/7vutKSwYBqq7DeXq6sqCQUQtyqNus7PRm4iI9MKCQUREeuEtKWN99BHg7Pzo7Qx5kkrsbcU+vrm2Ffv4hmwr9vHNta059imTAR4egLs70LYt4OICuLpqXx/ypA8ZjwXDWAsXip2AiJrSrh3g7Q0EBgJPPAEEBf22BAQAjz0mdkKbxIJhrAkTHv2PzpCBgMXeVuzjm2tbsY9vyLZiH99c25rr+A8eAKWl2qWiAigrA2pqtJ/duaNdLlxo+HsODkCPHsCf/qRdYmK0Vyb0SBze3EBlZWVwc3ODWq3mU1JE1kQQgKoqQK0Gbt8GCguBy5eB3NzflosXgfv36/+eTAaMHAn89a+AUmmXt7P0/V5jwTAQCwaRDautBW7cADIzgbQ07XLp0m+fd+4MzJ4NzJihXxtlC8GCYSYsGEQtzLlzwMcfA+vXa29rAdq2jq1bgT59xM1mIfp+r9nftRcR0e/16AF88AFQUACsXg3I5drbV9HRQHKyYe0qLRwLBhERALRpA/zlL8CZM9o2jaoq4LXXgKlTgcpKsdNZBRYMIqLfc3cHduwA/v1vbQP4hg1Av35AUZHYyUTHgkFE9EdSKfD3v2sbxb29gdOngSFDtI/w2jEWDCKipgwaBPzwA+DjA/z0EzBuHFBdLXYq0bBgEBE9TFAQsGePdsiRgweBOXPETiQaFgwiokfp1Uv7mK1EAnzyCbBpk9iJRMGCQUSkj2HDgEWLtO9nzgSuXRM3jwhYMIiI9PWPfwB9+2o7+NnhrSkWDCIifTk4AGvXal937AC+/lrsRBbFgkFEZIgePYD/+i/t+9mz7apTn10WjHHjxsHd3R0TJkwQOwoR2aJ33tHOq3HtGvCvf4mdxmLssmDMnTsXGzZsEDsGEdmqNm2A//1f7fuVK7Uj4NoBuywYgwYNgouLi9gxiMiWjR4N9O+vnV/j//0/sdNYhNUVjIyMDIwaNQpyuRwSiQSpqakNtklKSoJCoYCzszOioqJw7NgxywclIvsmkQBLlmjfr10LXL0qbh4LsLqCUVlZiZCQECQlJTX6+datWxEfH4+EhAScPHkSISEhGDp0KG7duqXbJjQ0FMHBwQ2WgoICS50GEdmDp57STvNaUwMsXSp2GrOz6gmUJBIJtm/fjrFjx+rWRUVFISIiAh9++CEAoLa2Fv7+/pg9ezYWLFig977T09Px4Ycf4v/+7/8eul1VVRWqqqp0P5eVlcHf358TKBGRVno6EBsLODlprzK8vcVOZLAWOYFSdXU1srKyoFQqdeukUimUSiUyMzPNcszExES4ubnpFn9/f7Mch4hsVEwMEBmpnT/jo4/ETmNWNlUwSkpKoNFo4P2HCu7t7Y3CwkK996NUKjFx4kTs3LkTfn5+Dy02CxcuhFqt1i35+flG5yeiFkgi+a1fxurV2kbwFspB7ABi2Ldvn97bOjk5wcnJyYxpiMjmjR8P+PsD+fnAl18CL74odiKzsKkrDE9PT8hkMhT9YearoqIi+Pj4iJSKiOyeg4N2OlcA+PhjcbOYkU0VDEdHR4SFhSEtLU23rra2FmlpaYiOjhYxGRHZvVdeAWQy4PBh4Nw5sdOYhdUVjIqKCqhUKqhUKgBAXl4eVCoVrv06lHB8fDySk5Oxfv16nD9/HjNnzkRlZSWmTZsmYmoisnuPPw6MHKl9v2aNuFnMxOoeq01PT0dsbGyD9XFxcVi3bh0A4MMPP8T777+PwsJChIaG4oMPPkBUVJRF8un7+BkR2aFvvwVGjQLatwcKCgBHR7ET6UXf77VmFYwHDx6gsLAQd+/ehZeXFzw8PIzdlc1gwSCiJtXUAB07AjdvAtu2aecAtwFm64dRXl6O1atXIyYmBq6urlAoFOjevTu8vLwQEBCA6dOn4/jx480KT0RkkxwcgClTtO9b4ACnBhWM5cuXQ6FQICUlBUqlEqmpqVCpVPj555+RmZmJhIQE1NTU4Omnn8YzzzyD3Nxcc+UmIrJOdY/UfvcdUFoqbhYTM+iW1OTJk/GPf/wDPXv2fOh2VVVVSElJgaOjI15++eVmh7QmvCVFRI/Uqxdw5oy28fuVV8RO80gWacOwRywYRPRIS5YAb78NPP008P33Yqd5pBY5lhQRkU2YOFH7mpYGlJSIm8WEWDCIiEwtKAgIDQU0GmD7drHTmIxBY0kFBgZCIpEYfJA33ngDc+bMMfj3iIhs1sSJgEqlLRjTp4udxiQMKhh1HecMpVAojPo9IiKbNWaMth0jLQ0oLwdawLTQBhWMmJgYAIBGo8E333yDwYMHc25sIqLG9OgBdO4MXLoE7NkDPPus2Imazag2DJlMhsmTJ6O4uNjUeYiIWgaJBBg9Wvt+xw5xs5iI0Y3eERERyMvLM2UWIqKWZcwY7euuXUBtrbhZTMDogjF79my89dZbnIGOiKgp/foBrq7aR2tPnBA7TbMZXTAmTZqE48ePo2fPnpgyZQrWrFmDrKwsVFdXmzIfEZHteuwxYMgQ7ftdu8TNYgJGF4y8vDykpqZi3rx5uHfvHhITExEZGQkXFxf07t3blBmJiGzXM89oX1tAwTB6Tu+AgAAEBARgdF2jDrQj2apUKpw+fdok4YiIbF5dwTh2DLh9WztXho0yaU9vFxcXDBw4ELNmzTLlbomIbJefn3YwQkHQPl5rw9jTm4jI3IYNA376SXtbavJksdMYjT29iYjM7ZlngKVLgd27tY/XSm1zGD+jenoTEZEB+vcH2rYFiouBU6eAsDCxExnFNsscEZEtcXQElErtext+WsqggnHt2jWDdn7jxg2DticiarFawOO1BhWMiIgIzJgxA8ePH29yG7VajeTkZAQHB+Orr75qdkAiohZh2DDt65EjgFotbhYjGdSGce7cOSxevBhDhgyBs7MzwsLCIJfL4ezsjNLSUpw7dw5nz57Fk08+iaVLl2L48OHmyk1EZFs6dgS6dAF+/hnYvx8YN07sRAYz6Aqjffv2WL58OW7evIkPP/wQQUFBKCkpQW5uLgDghRdeQFZWFjIzM1ksiIj+aOhQ7evu3eLmMJJEEARB7BC2RN/J0omIGti1Cxg+HPD1BfLztUOgWwF9v9f4lBQRkaUMGgQ4OwM3bgDnzomdxmAsGEREltKqFVDXn+3778XNYgSTF4zCwkLwLhcRURPq2jHsvWD88ssv6NSpE3a0kOkIiYhMrq5gZGQA9+6Jm8VAJi0Yn332GUaOHIlPPvnElLs1qTt37iA8PByhoaEIDg5GcnKy2JGIyJ50764dwfb+fW3RsCEmLRgpKSn44IMPUFJSYnCvcEtxcXFBRkYGVCoVjh49iiVLluD27dtixyIieyGR2OxtKZMVjEOHDiEgIAA+Pj6YNm0a1q5da6pdm5RMJkPr1q0BAFVVVRAEgW0uRGRZ9l4w1qxZg+nTpwMAnn/+eWzevNmoL+KMjAyMGjUKcrkcEokEqampDbZJSkqCQqGAs7MzoqKicOzYMYOOcefOHYSEhMDPzw/z58+Hp6enwTmJiIymVGqHOD93Ttsfw0aYpGDcuXMHhw4d0vXubteuHSIjI7Fz506D91VZWYmQkBAkJSU1+vnWrVsRHx+PhIQEnDx5EiEhIRg6dChu3bql26aufeKPS0FBgS5fdnY28vLysGnTJhQVFTWZp6qqCmVlZfUWIqJmcXcHIiO1721pFj7BigEQtm/fXm9dZGSkMGvWLN3PGo1GkMvlQmJiolHHmDlzpvDll182+XlCQoIAoMGiVquNOh4RkSAIgpCQIAiAIEycKHYSQa1W6/W9ZlMd96qrq5GVlQVl3bjyAKRSKZRKJTIzM/XaR1FREcrLywFoR9bNyMhA165dm9x+4cKFUKvVuiXfhi4ficiK1bVj7NsHaDTiZtGTQaPV1rl69SpOnz4Nb29vRNZdVllASUkJNBoNvL2966339vZGTk6OXvu4evUqXnvtNV1j9+zZs9GrV68mt3dycoKTk1OzchMRNRARAbRrB5SWAseOAdHRYid6JIMLxubNmzF16lQ8ePAAEokEffr0wa5du+Dl5WWOfCYXGRkJlUoldgwisncODsDTTwNffAF8951NFAyDb0m9++67eP7555GTk4M9vzbWLFiwwOTBGuPp6QmZTNagkbqoqAg+Pj4WyUBEZDJ100DYyCx8BheMy5cvIyEhAV26dMHgwYPx+eefY8uWLebI1oCjoyPCwsKQlpamW1dbW4u0tDRE20B1JiKq509/0r5mZ2t7fls5gwtGTU2NruMbAHTr1g21tbUoLCw0SaCKigqoVCrdbaO8vDyoVCpdz/H4+HgkJydj/fr1OH/+PGbOnInKykpMmzbNJMcnIrIYPz+gQwdto7cNdOIz6imp9evX4/Dhw6ioqAAAODg44O7duyYJdOLECfTp0wd9+vQBoC0Qffr0waJFiwAAkyZNwrJly7Bo0SKEhoZCpVJh9+7dDRrCiYisnkQC1P3P7sqVokbRh8Ez7sXExEClUqG8vBxSqRSBgYG4cuUK/va3v0GpVCI8PBwuLi7myis6zrhHRCaVnw8oFEBtLXDlChAQYPEI+n6vGT1Fa25uLrKysnDy5EndcufOHUilUgQFBeH8+fNGh7dmLBhEZHJPPQX88AOwfDnw5psWP7y+32tG9cMAgKCgIAQFBeG5557TrcvLy8OJEydw6tQpY3dLRGR/Ro/WFozvvxelYOjL6CuMc+fOoVu3bpBKbaqzeLPxCoOITO7CBaBbN22bRm4u0LmzRQ+v7/ea0d/2wcHBaNu2LcLDw/HKK6/ggw8+wMGDB3Hnzh1jd0lEZJ+6dtUOFSIIgJVODQE0o2AcPHgQrq6u8PX1RXl5OZKTkxEbG4v27duja9eueOedd1g8iIj09eKL2tfPPtMWDitkdMGYO3cuVq9ejR07duCLL77ATz/9hL179yIwMBBTpkxBRkYG+vTpg+LiYlPmJSJqmcaOBdq0Aa5fBw4eFDtNo4wuGDk5OejZs2e9dYMHD8aKFSuQnZ2N9PR0hIeH46233mp2SCKiFq9NG2DSJO37//s/cbM0weiCERYWho0bNzZYHxwcjD179kAikWD+/PnYt29fswISEdmN0aO1r7t2WeVtKaMLxrJly7B8+XK8+OKLuqHFq6ursWLFCnh4eAAAvLy8HjqbHRER/U7//oCjI3D5slXeljK6YERFRSEzMxMFBQXo0aMHWrVqhTZt2iA5ORn//ve/AQCnTp2CXC43WVgiohbN07N+47eVMbofxu9dvXoV2dnZkMlkCAsL0w01/sMPP6CoqAgTJkxodlBrwX4YRGRWBw8CgwYBrVtrrzQsME6e2YcGsVcsGERkVrW1QHg4cOoU8PHHwIwZZj+k2Tvu1dTUYPHixYiOjsaTTz6JuLg47N2719jdERERAEilQN1dGQvNNaQvowvGggUL8NFHH2Hw4MEYO3YsqqqqMHLkSEybNg28aCEiaoZRo7SvBw8Cvz5UZA2MHnxw06ZN2LJlC5566indury8PIwcORLLli3D/PnzTRKQiMju9OoFKJXAvn1AaipgoWmwH8XoK4zKykr4+fnVWxcYGIhVq1bh008/bXYwIiK7Nnas9nXzZqvpk2F0wRgwYADWr1/fYH1gYCAKCgqaFYqIyO6NG6d9PX0aOHRI3Cy/MrpgvPfee1i5ciXmzJmD3NxcAMCDBw+watUq9OjRw2QBiYjsklwODBumfZ+dLW6WXzVrePP09HQcPnwYXbt2hbOzM1q3bo3PPvsMK21gbloiIqvXt6/29csvxc3xK4P6YYwfPx6hoaEIDQ1FSEgIAn6de/bChQs4e/YsXFxcEBUV1aL7J7AfBhFZzJkz2gZwJyegvBx47DGzHMYs/TA6d+6MH374Aa+++ioCAwPh4eGB2NhYrF69GmVlZfDy8kKrVq2aHZ6IiKCdha9tW6CqCjh5Uuw0hj1W+/777+ve37hxAyqVSrd89913uHz5MhwcHNCtWzdkW8k9NyIim+XgAAwfDnzxBbB1KxAVJWockw4NUlFRAZVKhezsbMyaNctUu7UqvCVFRBb1zTfaYc99fICCAu283ybGsaTMhAWDiCyquhpwcdG+Xr4MBAaa/BBmH0uKiIgswNER6NRJ+371alGjsGAQEVm76dO1r//7v0BlpWgxWDCIiKzdm28C/v7a21L/8z+ixWDBICKydhIJ8OtMpmLeljJ6tFpbplAo4OrqCqlUCnd3dxw4cEDsSEREDzdypPa1sBC4e1c7I5+F2WXBAIDDhw+jbdu2YscgItKPi4u2p/eDB0BxMfDrSBuWxFtSRES2QCIBunTRvt+/X5QIVlcwMjIyMGrUKMjlckgkEqSmpjbYJikpCQqFAs7OzoiKisKxY8cMOoZEIkFMTAwiIiKwceNGEyUnIjKz0aO1r3/5C/DddxY/vNXdkqqsrERISAhefvlljB8/vsHnW7duRXx8PD7++GNERUVh5cqVGDp0KC5cuIAOHToAAEJDQ1FTU9Pgd/fs2QO5XI5Dhw7B19cXN2/ehFKpRK9evdC7d2+znxsRUbP885/AhQvAtm3Ayy9re37LZBY7vFX39JZIJNi+fTvG1s08BSAqKgoRERH48MMPAQC1tbXw9/fH7NmzscCIaQznz5+Pnj17YurUqY1+XlVVhaqqKt3PZWVl8Pf3Z09vIhJHdTXg5QWUlQFHjwKRkc3eZYvs6V1dXY2srCwolUrdOqlUCqVSiczMTL32UVlZifLycgDasa/279+Pnj17Nrl9YmIi3NzcdIu/v3/zToKIqDkcHX+bJ+PMGYse2qYKRklJCTQaDby9veut9/b2RmFhoV77KCoqwoABAxASEoK+ffvipZdeQkRERJPbL1y4EGq1Wrfk5+c36xyIiJqt7gnP3939sASra8Mwt06dOhk09LqTkxOcnJzMmIiIyEDu7trXq1ctelibusLw9PSETCZDUVFRvfVFRUXw8fERKRURkYXFxGhf9+yx6GFtqmA4OjoiLCwMaWlpunW1tbVIS0tDdHS0iMmIiCzo6ae1r6dOAbduWeywVndLqqKiAhcvXtT9nJeXB5VKBQ8PD3Ts2BHx8fGIi4tDeHg4IiMjsXLlSlRWVmLatGkipiYisiBvb6BDB22xKCzUvrcAqysYJ06cQGxsrO7n+Ph4AEBcXBzWrVuHSZMmobi4GIsWLUJhYSFCQ0Oxe/fuBg3hREQtWl3/i9paix3SqvthWCPOuEdEVsHfH7h+HcjKAp58slm7apH9MIiI6FfSX7++GxnVwmyHtNiRiIjIdNzctK937ljskCwYRES2yMtL+1pcbLFDsmAQEdkiFgwiItJLXcEoKbHYIVkwiIhskaen9pVXGERE9FC8JUVERHqp6y9RUWGxQ7JgEBHZIonE4odkwSAiIr2wYBARkV5YMIiISC9WN1qttasbq7GsrEzkJERk1+7e1b7W1ADN/D6q+z571Fi0HK3WQNevX4e/v7/YMYiITC4/Px9+fn5Nfs6CYaDa2loUFBTAxcUFEhGeUjCVsrIy+Pv7Iz8/v8UN096Szw3g+dkyaz03QRBQXl4OuVwOqbTplgrekjKQVCp9aAW2Na6urlb1D9eUWvK5ATw/W2aN5+ZWN/rtQ7DRm4iI9MKCQUREemHBsFNOTk5ISEiAk5OT2FFMriWfG8Dzs2W2fm5s9CaygI8++gizZs1CZGQkjh492uDz3z9AIZPJ4OrqisDAQAwYMAAzZsxAjx49jN43kamwYBBZQP/+/VFQUIArV64gNzcXTzzxRL3PJRIJhgwZgpdeegmCIECtViM7OxtffvklKisr8d577yE+Pt6ofROZjEBEZnX58mUBgLBt2zbBy8tL+Oc//9lgGwDCrFmzGqwvKSkRoqOjBQDCd999Z9S+iUyFbRhEZrZx40a4u7tjxIgRmDBhAjZu3Kj377Zv3x5btmyBg4MDFi9ebNJ9ExmKBYPIzDZu3Ijx48fD0dERkydPRm5uLo4fP67373fs2BExMTE4cuRIgyFpmrtvIkOwYBCZUVZWFnJycvDcc88BAAYMGAA/Pz+DrwSCg4NRW1uLK1eumHzfRPpiwSAyo40bN8Lb2xuxsbEAtI3bkyZNwpYtW6DRaPTeT9u2bQEA5eXlJt83kb5YMIjMRKPRYMuWLYiNjUVeXh4uXryIixcvIioqCkVFRUhLS9N7XxW/TsPp4uJi8n0T6YtjSRGZyf79+3Hz5k1s2bIFW7ZsafD5xo0b8fTTT+u1rzNnzkAmkyEwMNDk+ybSFwsGkZls3LgRHTp0QFJSUoPPtm3bhu3bt+Pjjz9Gq1atHrqfa9eu4eDBg4iOjtZdYZhq30QGEfu5XqKW6O7du4KLi4vw8ssvN/r5jz/+KAAQtmzZIghC0/0wbt++LfTr10+QSCTCrl27jNo3kanwCoPIDL7++muUl5dj9OjRjX7et29feHl5YePGjZg0aRIA4Oeff8bnn38OQRBQVlam6+ldUVGB5cuX45lnnjF630SmwKFBiMxg9OjR2Lt3L27fvo3WrVs3us20adOwceNG3Lx5E56enrr1UqlUN5bUU089hddee63eWFKG7rt9+/amPTmyWywYRESkFz5WS0REemHBICIivbBgEBGRXlgwiIhILywYRESkFxYMIiLSCzvuGai2thYFBQVwcXGpNw8zEZGtEgQB5eXlkMvlkEqbvo5gwTBQQUEB/P39xY5BRGRy+fn58PPza/JzFgwD1Q3+lp+fD1dXV5HTEBE1X1lZGfz9/XXfb01hwTBQ3W0oV1dXFgwialEedZudjd5ERKQXFgwiItILb0kZqcuqLpA6P7reGvIklQQGbMv9cr92sF8HqQMcZY5wkjnBycGp0ddWDq3g4uQCNyc3tHNuB8/WnvBq44UObTrA18UXrR7jJFKmwoJhpKKKIqBG7BRE9Cherb3Q1bMrurbviu6e3dG/Y3+Ey8PhIOXXn6E4vLmBysrK4ObmhkM/H0Jbl7YP3VaAfn+0hvwV2MI+9d2fPe+zpf2dm2OfAgTU1NagWlONqpoqVGmqdK+/X3f3wV2UV5VDXaVG6f1SlNwtQXFlMYoqi3D3wd1G9+3q5IqYgBgMDhyMIZ2HoIdXj0a3sxd132tqtfqhD/OwYBhI3z9YIhKXIAi4c/8O8u7k4ULJBVy4fQHZRdk4eOUgSu+X1ts21CcUr0e8jim9p8DJwUmkxOJhwTATFgwi26ap1UBVqEJaXhr25+3HgSsHUK2pBgAo2imw+E+LMTl4sl2N5MCCYSYsGEQty+27t5GiSsHyzOW4WXETAPDME89g0/hNcG/lLnI6y9D3e42P1RKRXWvfuj3m9ZuHi3Mu4l+x/4KzgzN2X9yNfv/ph7zSPLHjWRUWDCIiAK0fa423n3obR145Al8XX+SU5CBqTRSOXD8idjSrwYJBRPQ7IT4hOPrqUfTx6YPiu8WIXR+L9CvpYseyCiwYRER/4Ovqi4xpGRj2xDDcr7mPsVvGIvd2rtixRMeCQUTUiLaObbFt0jb08+8HdZUaY7aMQUV1hdixRMWCQUTUBGcHZ/zfxP+D3EWO8yXnMXfXXLEjiYoFg4joIR53eRybxm+CBBL8R/Uf7MrdJXYk0bBgEBE9QowiBnOjtFcXf935V9x7cE/kROJgwSAi0sP/+9P/g7+rP67cuYKlPy4VO44oWDCIiPTQ1rEtlj29DACw9PBS3Cy/KXIiy2PBICLS08QeExHtF427D+7i/2X8P7HjWJxdFoxx48bB3d0dEyZMEDsKEdkQiUSCxMGJAIA1J9fgmvqayIksyy4Lxty5c7FhwwaxYxCRDYpRxCBWEYsHtQ/sri3DLgvGoEGD4OLiInYMIrJR/3jqHwCAtafW4lblLZHTWI7VFYyMjAyMGjUKcrkcEokEqampDbZJSkqCQqGAs7MzoqKicOzYMcsHJSK7FauIRaRvJO7X3EfSsSSx41iM1RWMyspKhISEICmp8b+ErVu3Ij4+HgkJCTh58iRCQkIwdOhQ3Lr1W5UPDQ1FcHBwg6WgoMDgPFVVVSgrK6u3EJF9k0gkmBc9DwDw0YmP7KdfhmDFAAjbt2+vty4yMlKYNWuW7meNRiPI5XIhMTHRoH0fOHBAePbZZx+5XUJCggCgwaJWqw06HhG1LA80D4SAFQEC/gnhPyf/I3acZlGr1Xp9r1ndFcbDVFdXIysrC0qlUrdOKpVCqVQiMzPTLMdcuHAh1Gq1bsnPzzfLcYjItjhIHfDXiL8CAJKOJ0Gwg8lLbapglJSUQKPRwNvbu956b29vFBYW6r0fpVKJiRMnYufOnfDz83tosXFycoKrq2u9hYgIAF7u8zKcZE7IupmF4wXHxY5jdjZVMExl3759KC4uxt27d3H9+nVER0eLHYmIbJBna09M6KHtz7Xm5BqR05ifTRUMT09PyGQyFBUV1VtfVFQEHx8fkVIRkT17pc8rAIAtZ7agsrpS5DTmZVMFw9HREWFhYUhLS9Otq62tRVpaGq8SiEgUMYoYdHLvhPLqcmzP2S52HLOyuoJRUVEBlUoFlUoFAMjLy4NKpcK1a9ou+PHx8UhOTsb69etx/vx5zJw5E5WVlZg2bZqIqYnIXkklUsSFxAEANmS37BEkJIKVNe2np6cjNja2wfq4uDisW7cOAPDhhx/i/fffR2FhIUJDQ/HBBx8gKirKIvnKysrg5uYGtVrNBnAiAgBcLr2Mzh90hlQixfU3r+Nxl8fFjmQQfb/XmlUwHjx4gMLCQty9exdeXl7w8PAwdlc2gwWDiBrTb20/ZF7PxPKnl+PN6DfFjmMQfb/XDL4lVV5ejtWrVyMmJgaurq5QKBTo3r07vLy8EBAQgOnTp+P48Zb/eBkR0e+90OsFAMCmM5tETmI+BhWM5cuXQ6FQICUlBUqlEqmpqVCpVPj555+RmZmJhIQE1NTU4Omnn8YzzzyD3Nxcc+UmIrIqE3tOhEwiw4mCE7hcelnsOGbhYMjGx48fR0ZGBnr27Nno55GRkXj55Zfx8ccfIyUlBT/88AOCgoJMEpSIyJp1aNMBMYoY7M/bj6/OfYX5/eeLHcnkrK7R29qxDYOImrL6+Gr8dedfEeUbhSOvHhE7jt7M1oZBRESNG9d9HCSQ4OiNo7hRdkPsOCbHgkFEZCI+bX0Q7a/tRJyakypuGDMwqA0jMDAQEonE4IO88cYbmDNnjsG/R0Rka8Z1G4fD+YexPWc7ZkXOEjuOSRlUMOo6zhlKoVAY9XtERLZmbLexmL93PtKvpKP0XincW7mLHclkDCoYMTExAACNRoNvvvkGgwcP5tzYRES/84THEwjuEIwzt87gu9zvMKX3FLEjmYxRbRgymQyTJ09GcXGxqfMQEdm8sV3HAgB2XNghbhATM7rROyIiAnl5eabMQkTUIozqOgoA8P3F71GtqRY5jekYXTBmz56Nt956i1OWEhH9Qbg8HN5tvFFeXY5D1w6JHcdkjC4YkyZNwvHjx9GzZ09MmTIFa9asQVZWFqqrW041JSIyhlQixdAnhgIAduXuEjmN6RhdMPLy8pCamop58+bh3r17SExMRGRkJFxcXNC7d29TZiQisjnDnhgGAPj+0vciJzEdg56S+r2AgAAEBARg9OjRunXl5eVQqVQ4ffq0ScIREdmqIZ2GQCqR4qdbP+FG2Q34uvqKHanZTNrT28XFBQMHDsSsWS2rswoRkaHat26PSN9IAMDui7tFTmMa7OlNRGQmz3R+BkeuH8HuS7vxypOviB2n2djTm4jITIYFDcM/D/4Tey/tRU1tDRykRrcCWAWjenoTEdGjhT0eBndnd5TeL8XxG8d1AxPaKo5WS0RkJjKpDH8K/BMAYN/lfSKnaT6DCsa1a9cM2vmNGy1vPHgiIkMM6TQEALDn8h6RkzSfQQUjIiICM2bMwPHjx5vcRq1WIzk5GcHBwfjqq6+aHZCIyJY93flpAEBmfibu3L8jbphmMqgN49y5c1i8eDGGDBkCZ2dnhIWFQS6Xw9nZGaWlpTh37hzOnj2LJ598EkuXLsXw4cPNlZuIyCYEugeia/uuuHD7AtIup+HZHs+KHcloBl1htG/fHsuXL8fNmzfx4YcfIigoCCUlJcjNzQUAvPDCC8jKykJmZiaLBRHRr+p6fe+6aNvDhEgEQRDEDmFL9J0snYiozp5LezD086HwdfFF/pv5RvVnMyd9v9f4lBQRkZk9FfAUWjm0wo3yGzhz64zYcYzGgkFEZGbODs6IDYwFYNu3pUxeMAoLC8G7XERE9bWEdgyTFoxffvkFnTp1wo4d1jst4Z07dxAeHo7Q0FAEBwcjOTlZ7EhEZAeeeeIZAMCha4dQXlUuchrjmLRgfPbZZxg5ciQ++eQTU+7WpFxcXJCRkQGVSoWjR49iyZIluH37ttixiKiFe8LjCTzh8QRqamuQlpcmdhyjmLRgpKSk4IMPPkBJSYnBvcItRSaToXXr1gCAqqoqCILAW2hEZBG621I2OgufyQrGoUOHEBAQAB8fH0ybNg1r1641aj8ZGRkYNWoU5HI5JBIJUlNTG2yTlJQEhUIBZ2dnREVF4dixYwYd486dOwgJCYGfnx/mz58PT09Po7ISERmi7rbU7ku7bfJ/VE1WMNasWYPp06cDAJ5//nls3rzZqD+QyspKhISEICkpqdHPt27divj4eCQkJODkyZMICQnB0KFDcevWLd02de0Tf1wKCgoAAO3atUN2djby8vKwadMmFBUVGXHGRESGGaQYBCeZE66pr+F8yXmx4xhOMIHS0lKhc+fOgkaj0a174YUXhG+//bZZ+wUgbN++vd66yMhIYdasWbqfNRqNIJfLhcTERKOOMXPmTOHLL79s8vP79+8LarVat+Tn5wsABLVabdTxiMi+PfP5MwL+CeG9Q++JHUVHrVbr9b1mkiuMdu3a4eLFi5BKf9vd559/jhEjRphi9zrV1dXIysqCUqnUrZNKpVAqlcjMzNRrH0VFRSgv1z6hoFarkZGRga5duza5fWJiItzc3HSLv79/806CiOzaM521t6VsseHbpjrulZSUQKPRwNvbu956b29vFBYW6rWPq1evYuDAgQgJCcHAgQMxe/Zs9OrVq8ntFy5cCLVarVvy8/ObdQ5EZN8GdxoMADh45aDNjV5r1HyBV69exenTp+Ht7Y3IyEhTZzKryMhIqFQqvbd3cnKCk5OT+QIRkV3p6dUTnd0741LpJfx47UeM6GLaOzHmZPAVxubNm9GlSxeMGTMG0dHRCA8PR3FxsTmyNeDp6QmZTNagkbqoqAg+Pj4WyUBE1BwSiUQ3C9/+vP0ipzGMwQXj3XffxfPPP4+cnBzs2aOdQWrBggUmD9YYR0dHhIWFIS3tt3t/tbW1SEtLQ3S0bc+VS0T2Q1cwrthWwTD4ltTly5exe/duKBQKdOnSBZ9//jnCwsKM7nfxRxUVFbh48aLu57y8PKhUKnh4eKBjx46Ij49HXFwcwsPDERkZiZUrV6KyshLTpk0zyfGJiMwtVqEdiFBVqMLtu7fRvnV7kRPpx+CCUVNTo+spDQDdunVDbW0tCgsLTXJb6MSJE4iNjdX9HB8fDwCIi4vDunXrMGnSJBQXF2PRokUoLCxEaGgodu/e3aAhnIjIWnm39UZwh2CcuXUGB64cwIQeE8SOpBejnpJav349Dh8+jIqKCgCAg4MD7t69a5JAgwYN0g3X8ftl3bp1um1ef/11XL16FVVVVTh69CiioqJMcmwiIktRBmq7B2w9u1XkJPozuGAMHDgQ//rXvzBgwAC0a9cOQUFBuH//PtauXYsDBw7o+jgQEVHT4kLjAABfX/ga92vui5xGP0ZP0Zqbm4usrCycPHlSt9y5cwdSqRRBQUE4f94Gu73rgVO0EpEpCIIA+XI5CisKkR6XjhhFjGhZ9P1eM6ofBgAEBQUhKCgIzz33nG5dXl4eTpw4gVOnThm7WyIiu1D3eO2mnzbh+0vfi1ow9GV0T+9z586htra23rrAwEBMnDgRS5YsaXYwIqKWbkinIQCA3Rd3i5xEP0ZfYQQHB8PZ2Rk9evRASEhIvaVdu3YmjEhE1DKNCBoBqUSKU4WncLn0Mjq5dxI70kMZfYVx8OBBuLq6wtfXF+Xl5UhOTkZsbCzat2+Prl274p133sGdO3dMGJWIqGXxauOFQYpBAIBPTljvTKV1jC4Yc+fOxerVq7Fjxw588cUX+Omnn7B3714EBgZiypQpyMjIQJ8+fSw2bAgRkS2aEzkHALD21FrUCrWP2FpcRheMnJwc9OzZs966wYMHY8WKFcjOzkZ6ejrCw8Px1ltvNTskEVFLNSxoGFo5tMLte7eRU5IjdpyHMrpghIWFYePGjQ3WBwcHY8+ePZBIJJg/fz727dvXrIBERC2Zo8wR/fz7AQC+v/i9yGkezuiCsWzZMixfvhwvvvgicnK0VbG6uhorVqyAh4cHAMDLy4vTnxIRPcLwoOEAgL2X94qc5OGMfkoqKioKmZmZmDt3Lnr06AEnJyfU1NTAwcEBKSkpAIBTp05BLpebLCwRUUuk7KQdJiT9Sjru19yHs4OzyIkaZ3TBALS3n9LS0nD16lVkZ2dDJpMhLCxMNwihl5cX/v3vf5skKBFRS9WrQy/IXeQoKC/AwSsHMfSJoWJHalSzCkadgIAABAQENFg/cOBAU+yeiKhFk0gkGBE0Asknk7Hm1BqrLRhGt2HU1NRg8eLFiI6OxpNPPom4uDjs3Wvd99+IiKzVC71eAABsP78dt+/eFjlN44wuGAsWLMBHH32EwYMHY+zYsaiqqsLIkSMxbdo0GDmeIRGR3YpRxCC4QzA0ggbpV9LFjtMoo29Jbdq0CVu2bMFTTz2lW5eXl4eRI0di2bJlmD9/vkkCEhHZi3B5OM7cOoPsomw82+NZseM0YPQVRmVlJfz8/OqtCwwMxKpVq/Dpp582OxgRkb3p69sXAHDgygGRkzTO6IIxYMAArF+/vsH6wMBAFBQUNCsUEZE9errz0wCAQ9cO4dRN65smwuiC8d5772HlypWYM2cOcnNzAQAPHjzAqlWr0KNHD5MFJCKyF4HugbrBCFccWSFumEYYXTCCg4ORnp6Ow4cPo2vXrnB2dkbr1q3x2WefYeXKlSaMSERkP/4V+y8AwGenP0Pu7VyR09RnUKP3+PHjERoaitDQUISEhKBPnz44ceIELly4gLNnz8LFxQVRUVGcupSIyEj9/Puhu2d3nC85j23nt+HvA/4udiQdg64wOnfujB9++AGvvvoqAgMD4eHhgdjYWKxevRplZWXw8vJCq1atzJWViKjFk0gkeCnkJQBAdlG2yGnqM+gK4/3339e9v3HjBlQqlW757rvvcPnyZTg4OKBbt27IzrauEyUishVPeDwBAMi7kydykvqM7ofh6+sLX19fjBgxQreuoqICKpWKxYKIqBm6tO8CADh76yw0tRrIpDKRE2mZZCypOm3btsWAAQMwYMAAU+6WiMiu9PDqgcekj6G8uhzZRdl48vEnxY4EoBlPSRERkXk4SB10c2QkpCeInOY3LBhERFbob/3/BgD44eoPIif5DQsGEZEVCu4QDABQV6lRVlUmchotFgwiIivk6uSKVg7abgo7cnaInEbLLguGQqFA7969ERoaitjYWLHjEBE1ak7UHADA0sNLRU6iZdKnpGzJ4cOH0bZtW7FjEBE16dUnX8V7P76HS79cgiAIkEgkouaxyysMIiJb4OeqnULiXs09lN4vFTmNFRaMjIwMjBo1CnK5HBKJBKmpqQ22SUpKgkKhgLOzM6KionDs2DGDjiGRSBATE4OIiAhs3LjRRMmJiEzL2cEZLo4uAGAV07Za3S2pyspKhISE4OWXX8b48eMbfL5161bEx8fj448/RlRUFFauXImhQ4fiwoUL6NChAwAgNDQUNTU1DX53z549kMvlOHToEHx9fXHz5k0olUr06tULvXv3Nvu5EREZys3ZDeXV5VbxpJTVFYxhw4Zh2LBhTX6+fPlyTJ8+HdOmTQMAfPzxx/juu+/wn//8BwsWLAAAqFSqhx7D19cXAPD4449j+PDhOHnyZJMFo6qqClVVVbqfy8rE/0sjIvvh6qQd/VtdpRY5iRXeknqY6upqZGVlQalU6tZJpVIolUpkZmbqtY/KykqUl5cD0I59tX//fvTs2bPJ7RMTE+Hm5qZb/P39m3cSREQGcHNyAwCruMKwqYJRUlICjUYDb2/veuu9vb1RWFio1z6KioowYMAAhISEoG/fvnjppZcQERHR5PYLFy6EWq3WLfn5+c06ByIiQ+iuMO6Lf4VhdbekzK1Tp04Gjabr5OQEJycnMyYiImqam7P2CoO3pAzk6ekJmUyGoqKieuuLiorg4+MjUioiIvNxddReYfCWlIEcHR0RFhaGtLQ03bra2lqkpaUhOjpaxGREROZRd4Xxy71fRE5ihbekKioqcPHiRd3PeXl5UKlU8PDwQMeOHREfH4+4uDiEh4cjMjISK1euRGVlpe6pKSKiliSwXSAA4FLpJZGTWGHBOHHiRL3xneLj4wEAcXFxWLduHSZNmoTi4mIsWrQIhYWFCA0Nxe7duxs0hBMRtQTdPLsBAHJKckROAkgEQRDEDmFLysrK4ObmBrVaDVdXV7HjEFELd6PsBvxW+EEmkeHu23fhKHM0+TH0/V6zqTYMIiJ7I3eRo/VjraERNLimviZqFhYMIiIrJpFIdH0xKqorRM3CgkFEZOXaPNYGAFBZXSlqDhYMIiIr18ZRWzDuPrgrag4WDCIiK9f6sdYAgMoHvMIgIqKH4C0pIiLSC68wiIhIL4/JHgMAaGo1ouZgwSAiIr2wYBARkV5YMIiISC8sGEREpBerG63W2tWN1VhWJv5kJkRkHx7cfQDcB+5V3DPLd0/dPh81Fi1HqzXQ9evX4e/vL3YMIiKTy8/Ph5+fX5Ofs2AYqLa2FgUFBXBxcYFEIhE7jtHKysrg7++P/Pz8FjdMe0s+N4DnZ8us9dwEQUB5eTnkcjmk0qZbKnhLykBSqfShFdjWuLq6WtU/XFNqyecG8PxsmTWem5ub2yO3YaM3ERHphQWDiIj0woJhp5ycnJCQkAAnJyexo5hcSz43gOdny2z93NjoTWQh69atw7Rp03D8+HGEh4cDgN4PThw4cACDBg1CWVkZVqxYgW3btuHSpUvQaDTo3LkzRowYgblz50Iul5vzFMjOsdGbSESfffZZvZ83bNiAvXv3NljfvXt3XL58GUqlEteuXcPEiRPx2muvwdHREadPn8batWuxfft2/Pzzz5aMT3aGBYNIRFOmTKn385EjR7B3794G62tqajB06FAUFRUhPT0dAwYMqPf54sWL8d5775k9L9k3tmEQ2YCvvvoK2dnZePvttxsUC0D7mObixYtFSEb2hAWDyAZ8/fXXAIAXX3xR5CRkz1gwiGzA+fPn4ebmxmFpSFQsGEQ2oKysDC4uLmLHIDvHgkFkA1xdXVFeXi52DLJzLBhENqBbt25Qq9XIz88XOwrZMRYMIhswatQoAMDnn38uchKyZywYRDZgwoQJ6NWrFxYvXozMzMwGn5eXl+Ptt98WIRnZE3bcI7Kw//znP9i9e3eD9XPnzm3ydx577DFs27YNSqUSTz31FP785z+jf//+eOyxx3D27Fls2rQJ7u7u7ItBZsWCQWRhq1evbnT91KlTH/p7TzzxBFQqFVasWIHt27cjNTUVtbW1eOKJJ/Dqq69izpw5ZkhL9BsOPkhERHphGwYREemFBYOIiPTCgkFERHphwSAiIr2wYBARkV5YMIiISC/sh2Gg2tpaFBQUwMXFRe/5mImIrJkgCCgvL4dcLodU2vR1BAuGgQoKCjgnARG1SPn5+fDz82vycxYMA9XNSZCfnw9XV1eR0xARNV9ZWRn8/f0fOecKC4aB6m5Dubq6smAQUYvyqNvsbPQmIiK98ArDSLdv30Z1dfUjtzOkYdwc24p9fEO2tffjG7KtvR+fxMGCYaROnTqJHYHIbjk6OsLFxQWurq5o27Yt2rRpg7Zt28LFxQVeXl7o0KEDfHx8oFAoEBAQgICAAM6JbgIsGERkc6qrq3H79m3cvn1b799p3749unXrhtDQUPTt2xf9+/eHQqHgVY0BOLy5gcrKyuDm5oY7d+48stHbkD9ac2xr78c3ZFt7P74h21rD8e/fv4/y8nKUlZWhsrISFRUVqKyshFqtRnFxMYqLi3Hjxg1cvXoVV65cQWlpaaP7CgwMxJgxY/D8888jPDzcbotH3feaWq1+6PcaC4aB9P2DJSLrUVZWhry8PJw5cwZZWVnIzMzEiRMnUFNTo9umd+/emD9/PiZPngyZTCZiWstjwTATFgyilqGiogL79u3D1q1bkZqaivv37wMAgoOD8eGHHyImJkbkhJaj7/caH6slIrvUtm1bjB07Fps3b0ZBQQGWLFmCdu3a4cyZMxg0aBDefPNNvZ6EtCcsGERk99zd3bFw4UJcunQJ06dPBwCsXLkSgwYNwq1bt0ROZz1YMIiIfuXh4YFPP/0UX3/9Ndq1a4fMzEz069cP169fFzuaVWDBICL6g1GjRuHIkSMIDAzEpUuXMHjwYBQWFoodS3QsGEREjejatSsOHDiAjh074ueff8aIESNw7949sWOJigWDiKgJAQEB2L9/P7y8vHDy5EnMnTtX7EiiYsEgInqIzp07Y9OmTZBIJEhOTsamTZvEjiQaFgwiokdQKpV45513AAAzZ86020ZwFgwiIj0sWrQIUVFRKCsrw+uvvy52HFGwYBAR6UEmk2Ht2rVwcHDAjh07sHfvXrEjWRwLBhGRnnr27Km7uviv//ovaDQakRNZFgsGEZEB3nnnHbi7u+Onn37C+vXrxY5jUXZZMMaNGwd3d3dMmDBB7ChEZGM8PDzw9ttvAwDeffdduxpvyi4Lxty5c7FhwwaxYxCRjfrrX/+Kxx9/HNeuXcO6devEjmMxdlkwBg0axOkaichorVq1wt/+9jcAwPvvv283bRlWVzAyMjIwatQoyOVySCQSpKamNtgmKSkJCoUCzs7OiIqKwrFjxywflIjs2vTp0+Hh4YGLFy9i27ZtYsexCKsrGJWVlQgJCUFSUlKjn2/duhXx8fFISEjAyZMnERISgqFDh9Ybgjg0NBTBwcENloKCAoPzVFVVoaysrN5CRNSmTRvMnj0bAPDee+8ZNB2tzRKsGABh+/bt9dZFRkYKs2bN0v2s0WgEuVwuJCYmGrTvAwcOCM8+++wjt0tISBAANFjUarVBxyOilqe4uFho1aqVAEBIT08XO47R1Gq1Xt9rVneF8TDV1dXIysqCUqnUrZNKpVAqlcjMzDTLMRcuXAi1Wq1b8vPzzXIcIrI9np6eePHFFwEAq1atEjmN+dlUwSgpKYFGo4G3t3e99d7e3gaNVa9UKjFx4kTs3LkTfn5+Dy02Tk5OcHV1rbcQEdWp68i3Y8cO3Lx5U+Q05mVTBcNU9u3bh+LiYty9exfXr19HdHS02JGIyEb16tUL/fr1Q01NTYvvyGdTBcPT0xMymQxFRUX11hcVFcHHx0ekVERk71555RUAwLp161p047dNFQxHR0eEhYUhLS1Nt662thZpaWm8SiAi0UycOBGtW7fGhQsXzNaeag2srmBUVFRApVJBpVIBAPLy8qBSqXDt2jUAQHx8PJKTk7F+/XqcP38eM2fORGVlJaZNmyZiaiKyZy4uLrqhhlr0KBKWeWhLfwcOHGj0Mda4uDjdNqtWrRI6duwoODo6CpGRkcKRI0cslk/fx8+IyL7s27dPACC0a9dOuH//vthxDKLv95pEEIy/4fbgwQMUFhbi7t278PLygoeHhylqmFUrKyuDm5sb1Go1n5giIh2NRoOAgADcuHED27Ztw7hx48SOpDd9v9cMviVVXl6O1atXIyYmBq6urlAoFOjevTu8vLwQEBCA6dOn4/jx480KT0Rka2QyGZ577jkA2hEpWiKDCsby5cuhUCiQkpICpVKJ1NRUqFQq/Pzzz8jMzERCQgJqamrw9NNP45lnnkFubq65chMRWZ0///nPAIBvvvkGlZWVIqcxPYNuSU2ePBn/+Mc/0LNnz4duV1VVhZSUFDg6OuLll19udkhrwltSRNQUQRDwxBNP4PLly9i8ebPuisPameWW1ObNmx9ZLABt7+i//OUvLa5YEBE9jEQiwaRJkwAAX3zxhchpTM/qHqslIrJldQVj586dUKvVIqcxLRYMIiIT6t27N7p3746qqirs3LlT7Dgm5WDIxoGBgZBIJAYf5I033sCcOXMM/j0iIlsjkUgwevRonD9/Hl9//TUmT54sdiSTMajR++DBg0YdRKFQICAgwKjftTZs9CaiRzl69Cj69u2Ltm3bori4GM7OzmJHeih9v9cMusKIiYkBoO2g8s0332Dw4MGcG5uI6A8iIiIgl8tRUFCA/fv3Y/jw4WJHMgmj2jBkMhkmT56M4uJiU+chIrJ5UqkUY8eOBaCdJ6OlMLrROyIiAnl5eabMQkTUYowcORKA9mmpZozAZFWMLhizZ8/GW2+9xSlLiYgaMWjQIDg7O+P69es4e/as2HFMwuiCMWnSJBw/fhw9e/bElClTsGbNGmRlZaG6utqU+YiIbFKrVq0QGxsLANi1a5fIaUzD6IKRl5eH1NRUzJs3D/fu3UNiYiIiIyPh4uKC3r17mzIjEZFNGjZsGAC0mP4YBj0l9XsBAQEICAjA6NGjdevKy8uhUqlw+vRpk4QjIrJldQXj0KFDKCsrs/lH8U3a09vFxQUDBw7ErFmzTLlbIiKb9MQTTyAoKAg1NTX1ppa2VezpTURkRsOGDUNubi527txpU5MqNcaggrFu3TqjDqJQKIz6PSIiWzd8+HB88MEH2LVrFwRBMOp/uq1Fs6ZotUccGoSIDHH//n14eHjg3r17OH36NHr16iV2pAbMNkUrERHpz9nZWfd4ra0/LWVQwbh27ZpBO79x44ZB2xMRtUR1Y0nZVcGIiIjAjBkzcPz48Sa3UavVSE5ORnBwML766qtmByQisnUjRowAAPz4448oLS0VOY3xDGr0PnfuHBYvXowhQ4bA2dkZYWFhkMvlcHZ2RmlpKc6dO4ezZ8/iySefxNKlS1vMCI1ERM2hUCjQs2dPnD17Frt27cLzzz8vdiSjGHSF0b59eyxfvhw3b97Ehx9+iKCgIJSUlCA3NxcA8MILLyArKwuZmZksFkREv1M3GOF3330nchLj8SkpA/EpKSIyxqFDhzBw4EC4u7vj1q1bcHAweqANk+NTUkREViQ6Ohqenp4oLS1FRkaG2HGMwoJBRGQBMpkMo0aNAmC7kyqZvGAUFha2mMlCiIhMqW6wVlttxzBpwfjll1/QqVMnq66ed+7cQXh4OEJDQxEcHIzk5GSxIxGRnfjTn/4EmUyGS5cu4cqVK2LHMZhJC8Znn32GkSNH4pNPPjHlbk3KxcUFGRkZUKlUOHr0KJYsWYLbt2+LHYuI7ICrqyv69+8PADbZT82kBSMlJQUffPABSkpKDO4VbikymQytW7cGAFRVVUEQBN5CIyKLefbZZwEA3377rchJDGeygnHo0CEEBATAx8cH06ZNw9q1a43aT0ZGBkaNGgW5XA6JRILU1NQG2yQlJUGhUMDZ2RlRUVE4duyYQce4c+cOQkJC4Ofnh/nz58PT09OorEREhqpr+M7IyMDNmzdFTmMYkxWMNWvWYPr06QCA559/Hps3bzbq/9wrKysREhKCpKSkRj/funUr4uPjkZCQgJMnTyIkJARDhw7FrVu3dNvUtU/8cSkoKAAAtGvXDtnZ2cjLy8OmTZtQVFRkxBkTERkuMDAQffv2RW1trVW39zZKMIHS0lKhc+fOgkaj0a174YUXhG+//bZZ+wUgbN++vd66yMhIYdasWbqfNRqNIJfLhcTERKOOMXPmTOHLL79s8vP79+8LarVat+Tn5wsABLVabdTxiIgSExMFAEJsbKzYUQRBEAS1Wq3X95pJrjDatWuHixcvQir9bXeff/65bsAtU6murkZWVhaUSqVunVQqhVKpRGZmpl77KCoqQnl5OQDtQIkZGRno2rVrk9snJibCzc1Nt/j7+zfvJIjI7k2ePBkAkJ6ebrXtvY2xqY57JSUl0Gg08Pb2rrfe29sbhYWFeu3j6tWrGDhwIEJCQjBw4EDMnj37oROaLFy4EGq1Wrfk5+c36xyIiAICAjBo0CAIgoDPP/9c7Dh6M2owk6tXr+L06dPw9vZGZGSkqTOZVWRkJFQqld7bOzk5wcnJyXyBiMguTZ06Fenp6Vi1ahXefPNNtGrVSuxIj2TwFcbmzZvRpUsXjBkzBtHR0QgPD0dxcbE5sjXg6ekJmUzWoJG6qKgIPj4+FslARGQKkydPRseOHVFYWGgzHYgNLhjvvvsunn/+eeTk5GDPnj0AgAULFpg8WGMcHR0RFhaGtLQ03bra2lqkpaUhOjraIhmIiEzB0dFR99350Ucf2UR/MIOHN3d0dMTPP/8MhUIBAMjJyUFYWBgqKytNEqiiogIXL14EAPTp0wfLly9HbGwsPDw80LFjR2zduhVxcXH45JNPEBkZiZUrV+KLL75ATk5Og7YNc+Dw5kRkKuXl5fDx8cHdu3eRmZmJvn37ipJD7+81Qx+/kkgkQlFRUb11zs7Ows2bNw3dVaMOHDggAGiwxMXF6bZZtWqV0LFjR8HR0VGIjIwUjhw5YpJj60Pfx8+IiPTx4osvCgCEGTNmiJZB3+81g68wpFIp3nvvPfTv3x+9e/dG27Zt4eLiguzsbHTq1MnYAmczeIVBRKa0a9cuDB8+HL6+vrh06ZIoD9mYbQKlgQMH4l//+hcGDBiAdu3aISgoCPfv38fatWtx4MABXR8HIiJ6tEGDBsHT0xM3btzARx99JHachzJ6itbc3FxkZWXh5MmTuuXOnTuQSqUICgrC+fPnTZ3VKvAKg4hM7YMPPsDcuXPh7e2NCxcuwM3NzaLH1/d7zaRzeufl5eHEiRM4deoUlixZYqrdWhUWDCIytbox9C5duoQZM2bg448/tujxzV4wzp07h27dutUbDsQesGAQkTl8/fXXGDNmDADgyy+/xIQJEyx2bLMXDKlUCmdnZ/To0QMhISH1lnbt2hmb2+qxYBCRufztb3/D+++/j86dOyM3NxcSicQixzVbo3edgwcPwtXVFb6+vigvL0dycjJiY2PRvn17dO3aFe+88w7u3Llj7O6JiOzOwoUL4ejoiEuXLuk6RlsTowvG3LlzsXr1auzYsQNffPEFfvrpJ+zduxeBgYGYMmUKMjIy0KdPH4sNG0JEZOvc3d0xfvx4AMDs2bNRW1srcqL6jC4YOTk56NmzZ711gwcPxooVK5CdnY309HSEh4fjrbfeanZIIiJ7sWrVKrRu3Rq5ubnYsmWL2HHqMbpghIWFYePGjQ3WBwcHY8+ePZBIJJg/fz727dvXrIBERPbE09MT8fHxAIAXXngB27dvFznRb4wuGMuWLcPy5cvx4osvIicnB4B2gqMVK1bAw8MDAODl5cXpT4mIDDRv3jy0bdsWADB+/HgcOnRI5ERaRheMqKgoZGZmoqCgAD169ECrVq3Qpk0bJCcn49///jcA4NSpU5DL5SYLS0RkD9zc3JCfnw9fX18AwLZt20ROpGXUBEp1goODkZaWhqtXryI7OxsymQxhYWG6uSm8vLx0xYOIiPTXrl07LF26FC+88AIOHDggdhwAJu7pbQ/YD4OILKW4uBgdOnQAABQWFpptCgez98OoqanB4sWLER0djSeffBJxcXHYu3evsbsjIqI/8PLyQnBwMAAgIyND5DTNKBgLFizARx99hMGDB2Ps2LGoqqrCyJEjMW3aNJuYOYqIyBY888wzAICtW7eKnKQZt6Tkcjm2bNmCp556SrcuLy8PI0eOxNSpUzF//nyThbQmvCVFRJa0b98+DBkyBF5eXrh165ZZjmH2W1KVlZXw8/Orty4wMBCrVq3Cp59+auxuiYjod8LCwgBo2zOWLFki6h0cowvGgAEDsH79+gbrAwMDUVBQ0KxQRESk5e7ujueeew4A8Pbbb2P//v2iZTG6YLz33ntYuXIl5syZg9zcXADAgwcPsGrVKvTo0cNkAYmI7N3GjRsxYMAAAOI2fhtdMIKDg5Geno7Dhw+ja9eucHZ2RuvWrfHZZ59h5cqVJoxIRGTfpFIpXnjhBQBASkoKNBqNKDkMavQeP348QkNDERoaipCQEAQEBAAALly4gLNnz8LFxQVRUVEtujGYjd5EJIaSkhL4+/vj/v37eOutt7B48WKT7dssjd6dO3fGDz/8gFdffRWBgYHw8PBAbGwsVq9ejbKyMnh5eaFVq1bNDk9ERPV5enri3XffBSDeUCFGP1Z748YNqFSqesvly5fh4OCAbt26ITs729RZrQKvMIhILLdv34anpycA4NixY4iIiDDJfvX9XjN6LClfX1/4+vpixIgRunUVFRVQqVQttlgQEYmpffv2GD9+PLZt24Yvv/zSZAVDX0Y3ejembdu2GDBgAGbNmmXK3RIR0a9iYmIAQPd0qiWZtGAQEZF5BQUFAWDBICKiR6grGJcuXbL4nN8sGERENkShUKB169a4f/8+MjMzLXpsFgwiIhvi4OCAMWPGANAOTGjRY1v0aFZCoVDA1dUVUqkU7u7uVjObFRGRPuqmvr57965Fj2uXBQMADh8+rJtknYjIljg7OwMASktLLXpc3pIiIrIxvXv3BgCsW7cOx48ft9hxra5gZGRkYNSoUZDL5ZBIJEhNTW2wTVJSEhQKBZydnREVFYVjx44ZdAyJRIKYmBhERERg48aNJkpORGQZEydOxPjx4/HgwQPMmDHDYse1uoJRWVmJkJAQJCUlNfr51q1bER8fj4SEBJw8eRIhISEYOnRovZmoQkNDERwc3GCpm6fj0KFDyMrKwtdff40lS5bg9OnTTeapqqpCWVlZvYWISEwSiQSffPIJZDIZTp06hStXrljmwIIVAyBs37693rrIyEhh1qxZup81Go0gl8uFxMREo44xb948ISUlpcnPExISBAANFrVabdTxiIhM5amnnhIACKtXr27WftRqtV7fa1Z3hfEw1dXVyMrKglKp1K2TSqVQKpV6P49cWVmJ8vJyANqxr/bv34+ePXs2uf3ChQuhVqt1S35+fvNOgojIROomqyssLLTI8WzqKamSkhJoNBp4e3vXW+/t7Y2cnBy99lFUVIRx48YBADQaDaZPn/7QAbycnJzg5ORkfGgiIjNp3bo1AODevXsWOZ5NFQxT6NSpE0fTJaIWoW4o8qKiIoscz6ZuSXl6ekImkzX4wykqKoKPj49IqYiIxBEZGQkA+OGHHyxyPJsqGI6OjggLC0NaWppuXW1tLdLS0hAdHS1iMiIiy+vfvz9kMhkuX76Ma9eumf14Vlcw6iZhUqlUAIC8vDyoVCrdH0Z8fDySk5Oxfv16nD9/HjNnzkRlZSWmTZsmYmoiIstzdXVFWFgYACA9Pd3sx7O6NowTJ04gNjZW93N8fDwAIC4uDuvWrcOkSZNQXFyMRYsWobCwEKGhodi9e3eDhnAiInsQHR2NY8eO4aeffjL7sayuYAwaNAjCI6YZf/311/H6669bKBERkfXy9fUFYJlHa63ulhQREemv7oEfFgwiInqoxx9/HAALBhERPULdFcbNmzfNfiwWDCIiG1ZXMG7fvo3q6mqzHosFg4jIhnl4eEAmkwEAiouLzXosFgwiIhsmlUrx2GOPAdCOj2fWY5l170RE1GKwYBARkV5YMIiISC8sGEREpBcWDCIi0gsLBhER6cXqBh+0dnUDI5aVlYmchIhIq+57qby83KjvprrfedTArywYBiovLwcA+Pv7i5yEiKi+4ODgZv1+eXk53NzcmvxcIjyqpFA9tbW1KCgogIuLCyQSidhxjFZWVgZ/f3/k5+fr5gVuKVryuQE8P1tmrecmCALKy8shl8shlTbdUsErDANJpVL4+fmJHcNkXF1dreofrim15HMDeH62zBrP7WFXFnXY6E1ERHphwSAiIr2wYNgpJycnJCQkwMnJSewoJteSzw3g+dkyWz83NnoTEZFeeIVBRER6YcEgIiK9sGAQEZFeWDCIiEgvLBhERKQXFgxq1Lhx4+Du7o4JEyY0+vndu3cREBCAefPmWTiZaTzs/B517rZkxYoV6NmzJ3r06IE5c+Y8cnA5W6NQKNC7d2+EhoYiNjZW7DgmlZ+fj0GDBqFHjx7o3bs3vvzyS7EjsWBQ4+bOnYsNGzY0+fnixYvRt29fCyYyrYed36PO3VYUFxfjww8/RFZWFn766SdkZWXhyJEjYscyucOHD0OlUuHAgQNiRzEpBwcHrFy5EufOncOePXvwxhtvoLKyUtRMLBjUqEGDBsHFxaXRz3Jzc5GTk4Nhw4ZZOJXpPOz8HvaZrampqcH9+/fx4MEDPHjwAB06dBA7Eunp8ccfR2hoKADAx8cHnp6e+OWXX0TNxIJhgzIyMjBq1CjI5XJIJBKkpqY22CYpKQkKhQLOzs6IiorCsWPHTHb8efPmITEx0WT7+yOxz89SzH2eXl5emDdvHjp27Ai5XA6lUonOnTub8AwezhJ/jxKJBDExMYiIiMDGjRtNlFw/lvx3mpWVBY1GI/q0CiwYNqiyshIhISFISkpq9POtW7ciPj4eCQkJOHnyJEJCQjB06FDcunVLt01oaCiCg4MbLAUFBQ899o4dO9ClSxd06dLFpOf0e2KenyWZ+zxLS0vx7bff4sqVK7hx4wYOHz6MjIwMS52eRf4eDx06hKysLHz99ddYsmQJTp8+bZFzAyz37/SXX37BSy+9hE8//dTs5/RIAtk0AML27dvrrYuMjBRmzZql+1mj0QhyuVxITEw0aN8HDhwQnn322XrrFixYIPj5+QkBAQFC+/btBVdXV+Hdd981Ov+jWPr89PnMHMxxnl988YXw17/+Vffz0qVLhffee88keQ1lzr/HOvPmzRNSUlKakdJ45jq/+/fvCwMHDhQ2bNhgqqjNwiuMFqa6uhpZWVlQKpW6dVKpFEqlEpmZmc3ef2JiIvLz83HlyhUsW7YM06dPx6JFi5q9X32Z+/yshSnO09/fH4cPH8b9+/eh0WiQnp6Orl27miuyQUxxfpWVlboZMCsqKrB//3707NnTLHkNZYrzEwQBU6dOxZ/+9Ce8+OKL5opqEE6g1MKUlJRAo9HA29u73npvb2/k5OTovR+lUons7GxUVlbCz88PX375JaKjo00d12CWOD9rOHdTnGffvn0xfPhw9OnTB1KpFIMHD8bo0aPNEddgpji/oqIijBs3DgCg0Wgwffp0REREmDyrMUxxfj/++CO2bt2K3r1769pHPvvsM/Tq1cvUcfXGgkGN2rdv3yO3mTp1qvmDmMnDzk+fc7cVixcvxuLFi8WOYRadOnVCdna22DHMZsCAAaitrRU7Rj28JdXCeHp6QiaToaioqN76oqIi+Pj4iJTKdFr6+dVp6efJ87NNLBgtjKOjI8LCwpCWlqZbV1tbi7S0NKu4pdRcLf386rT08+T52SbekrJBFRUVuHjxou7nvLw8qFQqeHh4oGPHjoiPj0dcXBzCw8MRGRmJlStXorKyEtOmTRMxtf5a+vnVaennyfOz7fNrlNiPaZHhDhw4IABosMTFxem2WbVqldCxY0fB0dFRiIyMFI4cOSJeYAO19POr09LPk+dn2+fXGE7RSkREemEbBhER6YUFg4iI9MKCQUREemHBICIivbBgEBGRXlgwiIhILywYRESkFxYMIiLSCwsGERHphQWDyIQGDRqEN954w+zHmTp1Kv75z38+crv09HQoFAqz5yH7wIJBRER6YcEgaoGqq6vFjkAtEAsGkRmVlpbipZdegru7O1q3bo1hw4YhNze33jbJycnw9/dH69atMW7cOCxfvhzt2rUz6Dj//Oc/ERoaijVr1iAwMBDOzs4mPAsiLRYMIjOaOnUqTpw4ga+//hqZmZkQBAHDhw/HgwcPAGjnbf7LX/6CuXPnQqVSYciQIUZPqXrx4kV89dVX2LZtG1QqlQnPgkiLEygRmUlubi6+/vpr/Pjjj+jXrx8AYOPGjfD390dqaiomTpyIVatWYdiwYZg3bx4AoEuXLjh8+DC+/fZbg49XXV2NDRs2wMvLy6TnQVSHVxhEZnL+/Hk4ODggKipKt659+/bo2rUrzp8/DwC4cOECIiMj6/3eH3/WV0BAAIsFmRULBlEL0aZNG7EjUAvHgkFkJt27d0dNTQ2OHj2qW3f79m1cuHABPXr0AAB07doVx48fr/d7f/yZyFqwYBCZSVBQEMaMGYPp06fj0KFDyM7OxpQpU+Dr64sxY8YAAGbPno2dO3di+fLlyM3NxSeffIJdu3ZBIpGInJ6oIRYMIjNKSUlBWFgYRo4ciejoaAiCgJ07d+Kxxx4DAPTv3x8ff/wxli9fjpCQEOzevRtvvvkmH4slqyQRBEEQOwQR/Wb69OnIycnBDz/80OQ2U6dOhUKheOTwIOnp6Zg6dSquXLli2pBkl/hYLZHIli1bhiFDhqBNmzbYtWsX1q9fj48++kjsWEQNsGAQiezYsWNYunQpysvL0alTJ3zwwQd49dVXxY5F1AALBpHIvvjiC4N/Z+zYsXoNH6JQKCwyei7ZB7ZhEBGRXviUFBER6YUFg4iI9MKCQUREemHBICIivbBgEBGRXlgwiIhILywYRESkl/8PfwIdDKZjp4AAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 400x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.complementary_ecdf_all(df_btc, df_ada, df_eth, df_ltc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Statistical tests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Values less than or equal to 0 in data. Throwing out 0 or negative values\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating best minimal value for power law fit\n",
      "Calculating best minimal value for power law fit\n",
      "xmin progress: 00%\r"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Values less than or equal to 0 in data. Throwing out 0 or negative values\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating best minimal value for power law fit\n",
      "xmin progress: 00%\r"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Values less than or equal to 0 in data. Throwing out 0 or negative values\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating best minimal value for power law fit\n",
      "xmin progress: 00%\r"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "'nan' in fit cumulative distribution values.\n",
      "Likely underflow or overflow error: the optimal fit for this distribution gives values that are so extreme that we lack the numerical precision to calculate them.\n",
      "Values less than or equal to 0 in data. Throwing out 0 or negative values\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "xmin progress: 99%\r"
     ]
    },
    {
     "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>btc</th>\n",
       "      <th>ltc</th>\n",
       "      <th>ada</th>\n",
       "      <th>eth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>alpha</th>\n",
       "      <td>4.378687</td>\n",
       "      <td>3.495267</td>\n",
       "      <td>3.945602</td>\n",
       "      <td>3.586190</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>xmin</th>\n",
       "      <td>0.000674</td>\n",
       "      <td>0.000413</td>\n",
       "      <td>0.000790</td>\n",
       "      <td>0.000624</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            btc       ltc       ada       eth\n",
       "alpha  4.378687  3.495267  3.945602  3.586190\n",
       "xmin   0.000674  0.000413  0.000790  0.000624"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fitted_df, distrib_df = stats.powerlaw_estimation_all(df_btc, df_ltc, df_ada, df_eth)\n",
    "\n",
    "fitted_df"
   ]
  },
  {
   "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></th>\n",
       "      <th>lognormal</th>\n",
       "      <th>exponential</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>asset</th>\n",
       "      <th>index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">btc</th>\n",
       "      <th>z-score</th>\n",
       "      <td>-0.219303</td>\n",
       "      <td>1.729497</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p-value</th>\n",
       "      <td>0.826414</td>\n",
       "      <td>0.08372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>powerlaw favored ?</th>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">ltc</th>\n",
       "      <th>z-score</th>\n",
       "      <td>-3.77611</td>\n",
       "      <td>0.964801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p-value</th>\n",
       "      <td>0.000159</td>\n",
       "      <td>0.334645</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>powerlaw favored ?</th>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">ada</th>\n",
       "      <th>z-score</th>\n",
       "      <td>-1.057505</td>\n",
       "      <td>1.307613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p-value</th>\n",
       "      <td>0.290281</td>\n",
       "      <td>0.191005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>powerlaw favored ?</th>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"3\" valign=\"top\">eth</th>\n",
       "      <th>z-score</th>\n",
       "      <td>0.435731</td>\n",
       "      <td>4.308118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p-value</th>\n",
       "      <td>0.663032</td>\n",
       "      <td>0.000016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>powerlaw favored ?</th>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         lognormal exponential\n",
       "asset index                                   \n",
       "btc   z-score            -0.219303    1.729497\n",
       "      p-value             0.826414     0.08372\n",
       "      powerlaw favored ?     False       False\n",
       "ltc   z-score             -3.77611    0.964801\n",
       "      p-value             0.000159    0.334645\n",
       "      powerlaw favored ?     False       False\n",
       "ada   z-score            -1.057505    1.307613\n",
       "      p-value             0.290281    0.191005\n",
       "      powerlaw favored ?     False       False\n",
       "eth   z-score             0.435731    4.308118\n",
       "      p-value             0.663032    0.000016\n",
       "      powerlaw favored ?     False        True"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distrib_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Absence of linear autocorrelation in logreturns at different lags"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.acf(df_btc, df_ada, df_eth, df_ltc, \"Logrets\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Clustured volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.plot_volatility(df_btc, df_ada, df_eth, df_ltc, time_window = 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Long-memory of volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJBZWSFdWViInJwfp6emYMGECdu/eHfT4jRs3YuTIkUhPT8eoUaNQV1cXVmWJiJKN6pDesGEDysrKsGTJEuzbtw9jxoxBfn4+jh8/7vf4pqYm3Hnnnbjvvvuwf/9+FBQUoKCgAAcOHIi48kREie4CtScsX74cc+fOxezZswEAq1atwpYtW7B69WosWrSo1/ErV67ELbfcgoULFwIAnnjiCdTX1+O5557DqlWrIqx+YEKc+7mz07es52uWyVkmW31Ylrhl0bpuz8yJKqFCV1eXSE1NFbW1tT77i4qKxPTp0/2eYzabxTPPPOOzr7y8XIwePTrg+5w+fVo4HA7vZrVaBQDhcDgU19VuF8J927hx48ZN+81uVxxPQgghHA6HUJJrqro7Tpw4AZfLhczMTJ/9mZmZsNlsfs+x2WyqjgeAiooKGI1G72Y2m9VUEwAwYIDqU4iIwqZV5qju7ugLixcvRllZmfe10+lUHdT9+wMdHdGuGRGRf/37a3NdVSE9ePBgpKamwm63++y32+3Iysrye05WVpaq4wFAr9dDr9erqVovOh1b00QU/1R1d6SlpWHcuHFoaGjw7uvu7kZDQwMsFovfcywWi8/xAFBfXx/weCIiOkd1d0dZWRmKi4sxfvx45ObmYsWKFejs7PSO9igqKsLQoUNRUVEBACgpKcGUKVPw9NNPY9q0aaiqqsK7776LF154IbqfhIgoAakO6ZkzZ+Lzzz9HeXk5bDYbxo4di23btnm/HGxtbUVKyrkG+sSJE7F+/Xo89thjePTRR3HllVdi8+bNuPbaaxW/pxACgLtvmogoEXjyzJNvgehEqCMkcOTIkbBGeBARyc5qtcJkMgUsj4uQ7u7uxrFjx5CRkQGdTqf4PM+oEKvVCoPBoGEN4wvvS2C8N/7xvgQW7r0RQqC9vR3Z2dk+vQ/nk3II3vlSUlKC/qYJxWAw8C+WH7wvgfHe+Mf7Elg498ZoNIY8hqvgERFJjCFNRCSxhA5pvV6PJUuWRDwxJtHwvgTGe+Mf70tgWt+buPjikEittWvXesfu+5Ofn4/XX3895HWKi4uxdu1afO9738OJEyf8LrH76aefYvjw4Vi6dCkeeuihiOpNdL64+OKQKFyPP/44hg8f3mv/ZZddhrvvvtv7uqWlBeXl5Zg3bx4mTZrk3T9ixIg+qSdRIAxpSmjf//73MX78eL9lPcP43XffRXl5OSwWi094E8VaQvdJExHFO7akKaE5HA6cOHHCZ59Op8PFF1+s+loul6vXtQDgq6++Crt+RKEwpCmh5eXl9dqn1+tx+vRp1dc6dOgQLrnkkmhUi0gxhjQltMrKSnzrW9/y2ZeamhrWtXJycvDiiy/22m+329mPTZphSFNCy83NDfjFoVoDBgzw2zL/9NNPo3J9In/4xSERkcQY0kREEmNIExFJjH3SlNC2bt2KQ4cO9do/ceJEXH755TGoEZE6DGlKaOXl5X73r1mzhiFNcYELLBERSYx90kREEmNIExFJjCFNRCQxhjQRkcQY0kREEouLIXjd3d04duwYMjIyoNPpYl0dIqKICSHQ3t6O7OxspKQEbi/HRUgfO3YMZrM51tUgIoo6q9UKk8kUsDwuQjojIwOA+8MYDIYY14aIKHJOpxNms9mbb4HERUh7ujgMBoPykHa5gJ07gbY2YMgQYNIkIMx1hImItBKqC1f1F4d/+ctfcNtttyE7Oxs6nQ6bN28Oec727dvxne98B3q9HldccQXWrl2r9m3VqakBcnKAqVOBu+5y/5mT495PRBRHVId0Z2cnxowZg8rKSkXHt7S0YNq0aZg6dSqam5tRWlqKOXPm4PXXX1ddWUVqaoAZM4AjR3z3Hz3q3s+gJqI4EtHaHTqdDrW1tSgoKAh4zCOPPIItW7bgwIED3n2zZs3CyZMnsW3bNkXv43Q6YTQa4XA4gnd3uFzuFvP5AX2uwoDJBLS0sOuDiGJKaa5pPk56165dvR45lJ+fj127dgU8p6urC06n02dTZOfOwAENAEIAVqv7OCKiOKB5SNtsNmRmZvrsy8zMhNPpxKlTp/yeU1FRAaPR6N0UD79ra4vucUREMSbljMPFixfD4XB4N6vVquzEIUOiexwRUYxpPgQvKysLdrvdZ5/dbofBYMCFF17o9xy9Xg+9Xq/+zSZNcvc5Hz3q7to4n6dPetIk9dcmIooBzVvSFosFDQ0NPvvq6+thsVii/2apqcDKle6fzx976Hm9YgW/NCSiuKE6pDs6OtDc3Izm5mYA7iF2zc3NaG1tBeDuqigqKvIeP3/+fBw+fBgPP/wwDh06hOeffx6vvvoqHnzwweh8gvMVFgKbNgHZ2b77TSb3/sJC9yiQ7duBV15x/+lyaVMXIqJICZUaGxsFgF5bcXGxEEKI4uJiMWXKlF7njB07VqSlpYnLL79crFmzRtV7OhwOAUA4HA41Jwnh7vQQoq5OiLNn3furq4Uwmc6VAe7X1dWq6kREFAmluRYXzzhUPE66p85OYOBA988dHcCAAecmupz/kT1dIZ6WNhGRxqQZJy0NlwsoKfH/haJnX2kpuz6ISCrJE9Kc6EJEcSh5QpoTXYgoDiVPSHOiCxHFoeQJac9El0Brt+p0gNnMiS5EJJXkCWlOdCGiOJQ8IQ1wogsRxZ24eHxWVBUWAnl5gNHofl1XB9x8s7sFXVPjHqbXcxSIyeRugXP8NBHFQHK1pD16dmlMnnwuoPlEFyKSTHKG9Pk40YWIJMWQBjjRhYikxZAGONGFiKTFkAY40YWIpMWQBjjRhYikxZAGONGFiKTFkPZQMtGFiKiPJd9klmCCTXQB3EPwdu50f4E4ZIi7+4OtayLSEEP6fP4mugCcjUhEMcHuDiU4G5GIYoQhHQpnIxJRDDGkQ+FsRCKKIYZ0KJyNSEQxxJAOhbMRiSiGGNKhcDYiEcUQQzoUpbMRAT7RhYiijiGtRKjZiACQkwNMnQrcdZf7z5wcDs0joogxpJUqLAQ++ODc67o6oKXF/TPHUBORRhjSapw/GxHgGGoi0hRDOhIcQ01EGmNIR4JjqIlIYwzpSHAMNRFpjCEdCY6hJiKNMaQjwTHURKQxhnSkOIaaiDTEkI6GSMZQu1xsZRNRQHwyS7SoHUOt0wHz5gV/2gsf10WU9BjSWlEyhvqLL3rv97SyH3rI3bpmgBMlNYa0VsIdG+1peS9d2rssGgHOcCeKKwxprWgxNjrSAAfC715huBPFBENaK54x1EeP+u+XjrZQAf6jH/k/T+twJ6KIMKS14hlDPWOG+0vCvgjqQIK9t5bhzgAnihhDWkueMdQPPOAONQ+TCTh1Cvjyy9iGdyiRhHs0ApwBTwSIOOBwOAQA4XA4lJ/U0SGEO0rcP8eyzOE4V1ZXJ8TZs0JUVwuh07k3T1kybJ7PvHChECaTb5nJ5L4vQrj/DFZ+9qwQjY1CrF/v/vPsWeV/N4gkoDTXGNKxLKuuFmLoUN8gMpvdAZbsAe7vsysN+GABznAnSTCkZQniUGX+WtlCJHeAp6ZGFvCBApytc5KI0lzTCSFELLtblHA6nTAajXA4HDAYDMpO6uwEBg50/9zRAQwYEH9lTidgNLp/rqsDbr7Z3SdbU9O7n9tsBmbNApYtc7/u+Z+15xeXsf4SMxaCfWbPQlhajT3XoowSguJc65NfGRFK6JZ0X7XAPS1JNa3znq8TueWuVetcizIh2J2TINjdIVOgyhLgwcqiGe7JsAX7zFqVsTsnoTCkZQrNeCmLZrhHEuCpqckZ/OFukYa7EAzwGFCaa2EtVVpZWYmcnBykp6djwoQJ2L17d8Bj165dC51O57Olp6eH87aktfNX8uv5OlBZoGVan3rK/zrbZjOwcKG7L9jfgxJ0OqCs7NxrCk2I4GVCuMezB1oy9+GHg695Hmw5XS61qz216V9VVSXS0tLE6tWrxcGDB8XcuXPFRRddJOx2u9/j16xZIwwGg2hra/NuNptN1XuyJR3HZeF0rwQrT+Yulr7ctO5eYb+6dt0dubm5YsGCBd7XLpdLZGdni4qKCr/Hr1mzRhiNRrVv44MhnaBlwbpXgpXzC9DYblr2nSfRl6aahHRXV5dITU0VtbW1PvuLiorE9OnT/Z6zZs0akZqaKoYNGyZMJpOYPn26OHDgQND3OX36tHA4HN7NarUq+jA+ZAojlqkvC1XOL0Djb5P5S9MYBLwmIX306FEBQDQ1NfnsX7hwocjNzfV7TlNTk3jppZfE/v37xfbt28Wtt94qDAaDsFqtAd9nyZIlAkCvjSGdRGWRnNsXX4AGa51rUcbN/xaNL01j1HqXJqTPd+bMGTFixAjx2GOPBTyGLWmWxeQ9o9k616KM3TnR26KxBEGocA9Bmu4Of2bMmCFmzZql+Hj2SSdhmWz1Cad1rkUZu3Oiu4W7BEGwMp1OUVBrMgQvLS0N48aNQ0NDg3dfd3c3GhoaYLFYFF3D5XLh/fffxxAtnlxCpJVwhidqURZoyGNhYXSHQyaLcIYMChG6rLQ0asMRVY+TLisrw4svvoiXXnoJH374IX72s5+hs7MTs2fPBgAUFRVh8eLF3uMff/xxvPHGGzh8+DD27duHu+++G5999hnmzJkTlQ9AlHRkGM/u72dyEwKwWt1rr0SB6kX/Z86cic8//xzl5eWw2WwYO3Ystm3bhszMTABAa2srUlLOZf9XX32FuXPnwmazYdCgQRg3bhyamppwzTXXROUDEJFCwQI8L8//Yl7XX+//oRUrVrh/jtZCX4m4CFi4D6M+X8iOEwmwTzoJy2SrTzKX9VXfeSy+NNVyCYLGRhGMptPCiSiJ9FXfeTj96iYTUF3t3mRZgkCnc7/3pElRuRxDmoi0IfOXpiaTe3+0++Q9r1esiNr63wxpIoof0Q73YOXhtN494e+5dhTwaeFElPiChXuw8mBfqgLBy6KELWkiomDC7baJEoY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEGNJERBJjSBMRSYwhTUQkMYY0EZHEwgrpyspK5OTkID09HRMmTMDu3buDHr9x40aMHDkS6enpGDVqFOrq6sKqLBFRslEd0hs2bEBZWRmWLFmCffv2YcyYMcjPz8fx48f9Ht/U1IQ777wT9913H/bv34+CggIUFBTgwIEDEVeeiCjRXaD2hOXLl2Pu3LmYPXs2AGDVqlXYsmULVq9ejUWLFvU6fuXKlbjllluwcOFCAMATTzyB+vp6PPfcc1i1alWE1Q9CiHM/d3b6lvV8zTI5y2SrD8sStyxa1+2ZOdEkVOjq6hKpqamitrbWZ39RUZGYPn2633PMZrN45plnfPaVl5eL0aNHB3yf06dPC4fD4d2sVqsAIBwOh/LK2u1CuG8bN27cuGm/2e3K80kI4XA4hJJcU9XdceLECbhcLmRmZvrsz8zMhM1m83uOzWZTdTwAVFRUwGg0ejez2aymmm4DBqg/h4goXBpljurujr6wePFilJWVeV87nU71Qd2/P9DREeWaEREF0L+/JpdVFdKDBw9Gamoq7Ha7z3673Y6srCy/52RlZak6HgD0ej30er2aqvWm07E1TURxT1V3R1paGsaNG4eGhgbvvu7ubjQ0NMBisfg9x2Kx+BwPAPX19QGPJyKic1R3d5SVlaG4uBjjx49Hbm4uVqxYgc7OTu9oj6KiIgwdOhQVFRUAgJKSEkyZMgVPP/00pk2bhqqqKrz77rt44YUXovtJiIgSkOqQnjlzJj7//HOUl5fDZrNh7Nix2LZtm/fLwdbWVqSknGugT5w4EevXr8djjz2GRx99FFdeeSU2b96Ma6+9VvF7CiEAuPumiYgSgSfPPPkWiE6EOkICR44cCW+EBxGR5KxWK0wmU8DyuAjp7u5uHDt2DBkZGdDpdIrP84wKsVqtMBgMGtYwvvC+BMZ74x/vS2Dh3hshBNrb25Gdne3T+3A+KYfgnS8lJSXob5pQDAYD/2L5wfsSGO+Nf7wvgYVzb4xGY8hjuAoeEZHEGNJERBJL6JDW6/VYsmRJ5BNjEgzvS2C8N/7xvgSm9b2Jiy8OicLx/PPPY8GCBcjNzcU777zTq7znl9CpqakwGAwYPnw4brjhBvz0pz/FNddcE/a1iaKFIU0J67vf/S6OHTuGTz/9FB9//DGuuOIKn3KdToebbroJRUVFEELA4XDgb3/7GzZu3IjOzk785je/8VlDRs21iaJG1dp6RHHi8OHDAoCoqakRl1xyifjP//zPXscAEAsWLOi1/8SJE8JisQgAYsuWLWFdmyhaErpPmpLXunXrMGjQIEybNg0zZszAunXrFJ978cUXo6qqChdccAGefPLJqF6bSC2GNCWkdevWobCwEGlpabjzzjvx8ccfY8+ePYrPHzZsGKZMmYK3336713IEkV6bSA2GNCWcvXv34tChQ5g1axYA4IYbboDJZFLd4r322mvR3d2NTz/9NOrXJlKKIU0JZ926dcjMzMTUqVMBuL8gnDlzJqqqquByuRRfZ+DAgQCA9vb2qF+bSCmGNCUUl8uFqqoqTJ06FS0tLfjkk0/wySefYMKECbDb7b3WNg+m45sn+2RkZET92kRKxcXaHURKvfnmm2hra0NVVRWqqqp6la9btw4333yzomsdOHAAqampGD58eNSvTaQUQ5oSyrp163DppZeisrKyV1lNTQ1qa2uxatUqXHjhhUGv09raih07dsBisXhb0tG6NpEqsR4DSBQt//znP0VGRob4yU9+4rf8rbfeEgBEVVWVECLwOOkvvvhCTJw4Ueh0OrF169awrk0ULWxJU8L44x//iPb2dkyfPt1v+fXXX49LLrkE69atw8yZMwEAf//73/Hyyy9DCAGn0+mdcdjR0YHly5fjlltuCfvaRNHAaeGUMKZPn476+np88cUX6N+/v99jZs+ejXXr1qGtrQ2DBw/27k9JSfGu3TF58mTMmzfPZ+0Otde++OKLo/vhKGkxpImIJMYheEREEmNIExFJjCFNRCQxhjQRkcQY0kREEmNIExFJLC4ms3R3d+PYsWPIyMjweS4dEVG8EkKgvb0d2dnZSEkJ3F6Oi5A+duwYzGZzrKtBRBR1VqsVJpMpYHlchLRngRur1QqDwaDoHFe3C03WJtg6bMgamIWJ5olITUnVsppERIo5nU6YzWZvvgWiOqT/8pe/YOnSpdi7dy/a2tpQW1uLgoKCoOds374dZWVlOHjwIMxmMx577DHce++9it/T08VhMBgUhXTNhzUo2VaCI84j3n0mgwkrb1mJwqsLFb8vEZHWQnXhqv7isLOzE2PGjPG7XKM/LS0tmDZtGqZOnYrm5maUlpZizpw5eP3119W+tSI1H9ZgxqszfAIaAI46j2LGqzNQ82GNJu9LRKSFiNbu0Ol0IVvSjzzyCLZs2YIDBw54982aNQsnT57Etm3bFL2P0+mE0WiEw+EI2pJ2dbuQszKnV0B76wsdTAYTWkpa2PVBRDGlNNc0H4K3a9cu5OXl+ezLz8/Hrl27Ap7T1dUFp9Ppsymxs3VnwIAGAAEBq9OKna07lVWeiCjGNA9pm82GzMxMn32ZmZlwOp04deqU33MqKipgNBq9m9KRHW3tbVE9jogo1qSczLJ48WI4HA7vZrVaFZ03JGNIVI8jIoo1zYfgZWVlwW63++yz2+0wGAwBnwWn1+uh1+tVv9ekYZNgMphw1HkUAr272j190pOGTVJ9bSKiWNC8JW2xWHo96r6+vh4WiyXq75WakoqVt6wE4A7knjyvV9yygl8aElHcUB3SHR0daG5uRnNzMwD3ELvm5ma0trYCcHdVFBUVeY+fP38+Dh8+jIcffhiHDh3C888/j1dffRUPPvhgdD7BeQqvLsSmOzYhOyPbZ7/JYMKmOzZxnDQRxRe1T65tbGwUAHptxcXFQgghiouLxZQpU3qdM3bsWJGWliYuv/xysWbNGlXv6XA4BADhcDiUn3PKIfCfEPhPiLq/14mzrrPesrOus6KxpVGsf2+9aGxp9CkjIuoLSnMtLp5xqHQ8YU+dZzoxsGIgAKBjcQcGpA0AwNmIRCQHacZJy4SzEYko3iRNSLu6XSjZVuJ31IdnX+m2Uri6XX1dNSKigJImpDkbkYjiUdKENGcjElE8SpqQ5mxEIopHSRPSntmI509y8dBBB7PBzNmIRCSVpAlpzkYkoniUNCENcDYiEcWfuHjGYTQVXl2IvOF5MP7GCACou6sON4+42duCdnW7sLN1J9ra2zAkYwgmDZvE1jURxUzShTQAn9CdfNlk72vORiQi2SRVd0cwnI1IRDJiSIOzEYlIXgxpcDYiEcmLIQ3ORiQieTGkwdmIRCQvhjQ4G5GI5MWQBmcjEpG8GNLf4GxEIpJRUk5mCYSzEYlINgzp83A2IhHJhN0dCnA2IhHFCkM6BM5GJKJYYkiHwNmIRBRLDOkQOBuRiGKJIR0CZyMSUSwxpEPgbEQiiiWGdAicjUhEscSQVkDJbERXtwvbP92OV95/Bds/3c7RHkQUFZzMolCw2Yic6EJEWmFLWgV/sxE50YWItMSQjgAnuhCR1hjSEeBEFyLSGkM6ApzoQkRaY0hHgBNdiEhrDOkIcKILEWmNIR0BpRNdAHAMNRGFheOkI+SZ6PLA1gdwtP2od7/JYPIGdM7KHI6hJqKwsCUdBYVXF+KDn3/gfV13Vx1aSloAIOQYas5UJKJg2JKOkvMnugAIOoZaBx3m/WkeSraW4Ei7/1Y2n6lIRAxpjSgZQ/3FqS967fe0sh+a+BBeOfBKwG6SYAHOcCdKHAxpjYQ7NtrT8l7atLRXmZIABxB0HRGGO1F8YUhrRIux0aEC/Eev/sjveQx3ovjFkNaIZwz1UedRv/3S0RbsPWQNdyIKjSGtEc8Y6hmvzoAOuj4J6nDEKtyVBDgDnoghramAY6gzTDh19hS+PPWltOEdSiThriTAQ63RzQCnZMGQ1lighwW89tFr0reytaA0wJc1Let1X6LVQieKJwzpPuDvYQGBWtlmgxmzrp2FZU3LAARvsSYaz2ddvmt50DW6I2mh8wtQijcM6RgK9kiu603Xqwrwni3yeG+du4T6WZccukiJiiEdY/5a2YD6AO+5Vkiyhnsgso5uYbiTEgxpiYUT4AAY7irE49BFBn9yCSukKysrsXTpUthsNowZMwbPPvsscnNz/R67du1azJ4922efXq/H6dOnw3lr+kagAA9WJkO4K/psulR0i26pg1/GcA9WxuCPX6pDesOGDSgrK8OqVaswYcIErFixAvn5+fjoo49w6aWX+j3HYDDgo48+8r7W6fwvkk/ai3W4h2qdA0CZpQzLmpbFdQs9EK3CncGfuFSH9PLlyzF37lxv63jVqlXYsmULVq9ejUWLFvk9R6fTISsrK7KaUkxFO9yDtc4Lry5UHfCJTkm4Bytj8McvVSF95swZ7N27F4sXL/buS0lJQV5eHnbt2hXwvI6ODlx22WXo7u7Gd77zHfzXf/0Xvv3tbwc8vqurC11dXd7XTqdTTTVJIuG2zqM58oX8Y/Arm90a6/BXFdInTpyAy+VCZmamz/7MzEwcOnTI7zlXXXUVVq9ejdGjR8PhcGDZsmWYOHEiDh48CJPJ5PeciooK/OpXv1JTNYpDwVrnwco5dFFe8Rb8oWa3ArFfm0bz0R0WiwUWi8X7euLEibj66qvx+9//Hk888YTfcxYvXoyysjLva6fTCbPZrHVVKY5w6GLy0Cr4Q81ujTT8o0XV47MGDx6M1NRU2O12n/12u11xn3O/fv1w3XXX4ZNPPgl4jF6vh8Fg8NmIlAoW4P4ec1Z4dWHAsqduegqb7tiE7Ixsn/cwGUyovqMa1XdU9yozG8xYOHEhdN/8r6eerwM9ZZ60J775X6jZrcHOXdq0NOij8aJFVUinpaVh3LhxaGho8O7r7u5GQ0ODT2s5GJfLhffffx9DhkR/vWWiUML9AlTmcGfwhy+c2a3BeMK9dFtp1J5XqvpBtGVlZXjxxRfx0ksv4cMPP8TPfvYzdHZ2ekd7FBUV+Xyx+Pjjj+ONN97A4cOHsW/fPtx999347LPPMGfOnKh8AKK+IHO4M/jlIiBgdVqxs3VnVK6nuk965syZ+Pzzz1FeXg6bzYaxY8di27Zt3i8TW1tbkZJyLvu/+uorzJ07FzabDYMGDcK4cePQ1NSEa665JiofgEhmfTkuPViZ2v54Lfrqk60fP9xH6J0vrC8O77//ftx///1+y7Zv3+7z+plnnsEzzzwTztsQJa1wwj1YGYPfPy1nt0brEXqquzuIKD5pEfxqu3Nk6urRQYcyS5n39fnl/n5WQgcdzAYzJg2bpOq8QLjAEhGFLd5b/IFmt0bS6geAFbesiNp4aYY0EUmlr4Nfi4XHojlOmiFNRAkv3NmtwcpChXu0sE+aiChMocI/GhjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSCyukKysrkZOTg/T0dEyYMAG7d+8OevzGjRsxcuRIpKenY9SoUairqwurskREyUZ1SG/YsAFlZWVYsmQJ9u3bhzFjxiA/Px/Hjx/3e3xTUxPuvPNO3Hfffdi/fz8KCgpQUFCAAwcORFx5IqJEd4HaE5YvX465c+di9uzZAIBVq1Zhy5YtWL16NRYtWtTr+JUrV+KWW27BwoULAQBPPPEE6uvr8dxzz2HVqlURVj8wIYT3584znT5lPV+zTM4y2erDssQti9Z1e2ZONOmEiiufOXMG/fv3x6ZNm1BQUODdX1xcjJMnT+K1117rdc6wYcNQVlaG0tJS774lS5Zg8+bN+Nvf/ub3fbq6utDV1eV97XQ6YTab4XA4YDAYFNX1eMdxZD6dqeyDERFFyP7/7Lh04KWKj3c6nTAajSFzTVV3x4kTJ+ByuZCZ6Rt+mZmZsNlsfs+x2WyqjgeAiooKGI1G72Y2m9VUEwAwIG2A6nOIiMKlVeao7u7oC4sXL0ZZWZn3taclrUb/fv3Rsbgj2lUjIvKrf7/+mlxXVUgPHjwYqampsNvtPvvtdjuysrL8npOVlaXqeADQ6/XQ6/VqqtaLTqdja5qI4p6q7o60tDSMGzcODQ0N3n3d3d1oaGiAxWLxe47FYvE5HgDq6+sDHk9EROeo7u4oKytDcXExxo8fj9zcXKxYsQKdnZ3e0R5FRUUYOnQoKioqAAAlJSWYMmUKnn76aUybNg1VVVV499138cILL0T3kxARJSDVIT1z5kx8/vnnKC8vh81mw9ixY7Ft2zbvl4Otra1ISTnXQJ84cSLWr1+Pxx57DI8++iiuvPJKbN68Gddee63i9/QMQHE6nWqrS0QkJU+ehRpgp2oIXqwcOXIkrBEeRESys1qtMJlMAcvjIqS7u7tx7NgxZGRkQKfTKT7PMyrEarUqHl+dDHhfAuO98Y/3JbBw740QAu3t7cjOzvbpfTiflEPwzpeSkhL0N00oBoOBf7H84H0JjPfGP96XwMK5N0ajMeQxXAWPiEhiDGkiIokldEjr9XosWbIk4okxiYb3JTDeG/94XwLT+t7ExReHROFau3YtZs+ejT179mD8+PEAoPjL58bGRnzve9+D0+nEM888g5qaGvzjH/+Ay+XCiBEjMG3aNJSUlCA7O1vLj0BJLi6+OCSKpv/93//1ef2HP/wB9fX1vfZfffXVOHz4MPLy8tDa2op///d/x7x585CWlob33nsP//M//4Pa2lr8/e9/78vqU5JhSFPSufvuu31ev/3226ivr++1/+zZs8jPz4fdbsf27dtxww03+JQ/+eST+M1vfqN5fSm5JXSfNFEkqqur8be//Q2//OUvewU04B5y9eSTT8agZpRMGNJEAfzxj38EANxzzz0xrgklM4Y0UQAffvhh2A+dIIoWhjRRAE6nExkZGbGuBiU5hjRRAAaDAe3t7bGuBiU5hjRRACNHjoTD4YDVao11VSiJMaSJArjtttsAAC+//HKMa0LJjCFNFMCMGTMwatQoPPnkk9i1a1ev8vb2dvzyl7+MQc0omXAyCyWF1atXY9u2bb32l5SUBDynX79+qKmpQV5eHiZPnow77rgD3/3ud9GvXz8cPHgQ69evx6BBgzhWmjTFkKak8Lvf/c7v/nvvvTfoeVdccQWam5vxzDPPoLa2Fps3b0Z3dzeuuOIKzJkzBw888IAGtSU6hwssERFJjH3SREQSY0gTEUmMIU1EJDGGNBGRxBjSREQSY0gTEUksLsZJd3d349ixY8jIyFD8fDoiIpkJIdDe3o7s7GykpARuL8dFSB87doxr+hJRQrJarTCZTAHL4yKkPWv6Wq1WGAwGRee4XC40NTXBZrMhKysLEydORGpqqpbVJCJSzOl0wmw2h16zXKi0Y8cOceutt4ohQ4YIAKK2tjbkOY2NjeK6664TaWlpYsSIEWLNmjWq3tPhcAgAwuFwKDq+urpamEwmAcC7mUwmUV1drep9iYi0ojTXVH9x2NnZiTFjxqCyslLR8S0tLZg2bRqmTp2K5uZmlJaWYs6cOXj99dfVvrUiNTU1mDFjBo4cOeKz/+jRo5gxYwZqamo0eV8iIi1EtHaHTqdDbW0tCgoKAh7zyCOPYMuWLThw4IB336xZs3Dy5Em/q5L543Q6YTQa4XA4gnZ3uFwu5OTk9AronvU1mUxoaWlh1wcRxZTSXNN8CN6uXbuQl5fnsy8/P9/v+rweXV1dcDqdPpsSO3fuDBjQgPvbVKvVip07dyqrPBFRjGke0jabDZmZmT77MjMz4XQ6cerUKb/nVFRUwGg0ejelIzva2tqiehwRUaxJOZll8eLFcDgc3k3pM+aGDBkS1eOIiGJN8yF4WVlZsNvtPvvsdjsMBgMuvPBCv+fo9Xro9XrV7zVp0iSYTCYcPXoU/rraPX3SkyZNUn1tIqJY0LwlbbFY0NDQ4LOvvr4eFosl6u+VmpqKlStXAkCvmYme1ytWrOCXhkQUN1SHdEdHB5qbm9Hc3AzAPcSuubkZra2tANxdFUVFRd7j58+fj8OHD+Phhx/GoUOH8Pzzz+PVV1/Fgw8+GJ1PcJ7CwkJs2rQJ2dnZPvtNJhM2bdqEwsJCTd6XiEgTagdgNzY2+kwS8WzFxcVCCCGKi4vFlClTep0zduxYkZaWJi6//HLNJ7P0PAeAqKurE2fPnlX1nkREWlKaa3HxjEOl4wl76uzsxMCBAwG4W/8DBgzQsopERKpIM06aiIjCFxcLLEWby+XCzp070dbWhiFDhmDSpEn8MpGIpJR0IV1TU4OSkhKfmYkmkwkrV67kl4pEJJ2k6u7g4ktEFG+SJqRdLhdKSkr8TnLx7CstLYXL5errqhERBZQ0Ic3Fl4goHiVNSHPxJSKKR0kT0lx8iYjiUdKEtGfxpUBPG9fpdDCbzVx8iYikkjQhzcWXiCgeJU1IA1x8iYjiT9JNZiksLEReXh6MRiMAoK6uDjfffDNb0EQkpaRqSXv0DOTJkyczoIlIWkkZ0kRE8SLpujtC4eJLRCQThnQPXHyJiGTD7o5vcPElIpIRQxpcfImI5MWQBhdfIiJ5MaTBxZeISF4MaXDxJSKSF0MaXHyJiOTFkAYXXyIieTGkv8HFl4hIRpzM0gMXXyIi2bAlfR4uvkREMmFIExFJjN0dKnDxJSLqawxphbj4EhHFArs7FODiS0QUKwzpELj4EhHFEkM6BC6+RESxxJAOgYsvEVEsMaRD4OJLRBRLDOkQuPgSEcUSQzoELr5ERLHEkFaAiy8RUaxwMotCXHyJiGKBLWkVuPgSEfU1hjQRkcTY3RElXHyJiLTAkI4CLr5ERFphd0eEuPgSEWmJIR0BLr5ERFpjSEeAiy8RkdYY0hHg4ktEpDWGdAS4+BIRaY0hHQEuvkREWmNIR4CLLxGR1hjSEeLiS0SkpbBCurKyEjk5OUhPT8eECROwe/fugMeuXbsWOp3OZ0tPTw+7wjIqLCzEBx984H1dV1eHlpYWBjQRRUx1SG/YsAFlZWVYsmQJ9u3bhzFjxiA/Px/Hjx8PeI7BYEBbW5t3++yzzyKqtIy4+BIRaUF1SC9fvhxz587F7Nmzcc0112DVqlXo378/Vq9eHfAcnU6HrKws75aZmRlRpeONy+XC9u3b8corr2D79u2c3EJEiqkK6TNnzmDv3r3Iy8s7d4GUFOTl5WHXrl0Bz+vo6MBll10Gs9mM22+/HQcPHgz6Pl1dXXA6nT5bvKqpqUFOTg6mTp2Ku+66C1OnTkVOTg6nixORIqpC+sSJE3C5XL1awpmZmbDZbH7Pueqqq7B69Wq89tprePnll9Hd3Y2JEycGnalXUVEBo9Ho3cxms5pqSkPJuh5sZRNRMJqP7rBYLCgqKsLYsWMxZcoU1NTU4JJLLsHvf//7gOcsXrwYDofDu1mtVq2rGXVK1vWYN28eW9lEFJSqpUoHDx6M1NRU2O12n/12ux1ZWVmKrtGvXz9cd911+OSTTwIeo9frodfr1VRNOkrW9fjiiy967fe0sjdt2oTbb7+da1QTJTlVLem0tDSMGzcODQ0N3n3d3d1oaGiAxWJRdA2Xy4X3338/4adKh7teh9JWNrtJiJKD6kX/y8rKUFxcjPHjxyM3NxcrVqxAZ2cnZs+eDQAoKirC0KFDUVFRAQB4/PHHcf311+OKK67AyZMnsXTpUnz22WeYM2dOdD+JZCL5JRSqlf3QQw/hlVdeCfiQAT4lhihxqA7pmTNn4vPPP0d5eTlsNhvGjh2Lbdu2eb9MbG1tRUrKuQb6V199hblz58Jms2HQoEEYN24cmpqacM0110TvU0jIs67H0aNH/fZLh8NznaVLl/Yqi0aAM9yJJCTigMPhEACEw+FQfE5HR4cAIACIjo6OmJRVV1cLnU4ndDqdtywWm6cOCxcuFCaTyafMZDKJ6upqUV1dHbBMCCHOnj0rGhsbxfr160VjY6M4e/as97MHKyMi/5TmGkNa47Lq6moxdOjQXuF38cUXxzy8PQHOcCfqewxpSUK6Z/0BiLq6OnH27FlpWtmyhrsQDHFKbAxpiUI6XlvZsQr3SFvoRPGAIS1JEIcqS8RWdqQhHuiXlJIWuhAMcIoPDGmJgjharWyz2SwWLlyYtAEeKtwZ4BRPGNKShG0kZf5a2UIwwGMR4Ax3ijaGtERhK3OA93ydjOHOESwUKwxpiQJV9gD3BBHDvXeAyxjuDP7EwJCWKDRlKgsU4MHK+ircPa/jfXSLluEei+DnLwVtMKQlCsZEKOurcPeUJWPfeqhwj0Xw818D2mFISxRwyVwWTrgLwS9Ho7VFEvzBymL1r4FEwpCWKKhYpr5MCI5uicdNy+AXIrFa7gxpiQKHZeGFdDgtdAZ44m1at9yFiE34M6QlChyWqS+L5FwOT0yeLdKWu5b99aEwpCUKHJapL9PqurEewcJNni3UEgTBzgtW5gn/UJTmmuYPoiWSSc+HGEyePNn7urCwEB988IG3rK6uDi0tLSgsLAxY9tRTT2HTpk3Izs72eQ+TyYTq6mpUV1f3KjObzVi4cCF0Oh10Op1PWc/XasooPOKbJyCJIA+LDnReqLLS0tKoPdKOIU30jUABHqysr8K9r4OfvxTCJ4SA1WrFzp07o3I9hjRRhPoq3Psy+PmvgciF+zDqXkJ2nEiAfdLJVyZbfeKlLNxx6X09WSkZRuA0NjaKYJTmmuoH0RKRvMJp1YdbVlhYiLy8PBiNRgDuVv3NN9/sLQ+n7Prrr8cDDzyAo0ePet/TbDZj1qxZWLZsGQDfPmGdTud93fNnpWUXX3wxvvzyy6g9LNpzbZPJhEmTJkXleuzuIKKwaRH8fdmd88ILLwCIXn+95/WKFSt8PmMkGNJEJJW+6sf3lEU7/Ddt2oTCwsLIb8Q32N1BRHFDi+4cLbptooktaSJKelqEf7QwpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSGEOaiEhiDGkiIokxpImIJMaQJiKSWFghXVlZiZycHKSnp2PChAnYvXt30OM3btyIkSNHIj09HaNGjUJdXV1YlSUiSjaqQ3rDhg0oKyvDkiVLsG/fPowZMwb5+fk4fvy43+Obmppw55134r777sP+/ftRUFCAgoICHDhwIOLKExElugvUnrB8+XLMnTsXs2fPBgCsWrUKW7ZswerVq7Fo0aJex69cuRK33HILFi5cCAB44oknUF9fj+eeew6rVq2KsPqBCSG8P3d2dvqU9XzNMjnLZKsPyxK3LFrX7Zk5USVU6OrqEqmpqaK2ttZnf1FRkZg+fbrfc8xms3jmmWd89pWXl4vRo0cHfJ/Tp08Lh8Ph3axWqwAgHA6H4rra7XYBgBs3btz6ZLPb7YrzSQghHA6HAELnmqrujhMnTsDlciEzM9Nnf2ZmJmw2m99zbDabquMBoKKiAkaj0buZzWY11QQADBgwQPU5RETh0ipzVHd39IXFixejrKzM+9rpdKoO6v79+6OjoyPaVSMi8qt///6aXFdVSA8ePBipqamw2+0+++12O7Kysvyek5WVpep4ANDr9dDr9Wqq1otOp2NrmojinqrujrS0NIwbNw4NDQ3efd3d3WhoaIDFYvF7jsVi8TkeAOrr6wMeT0RE56ju7igrK0NxcTHGjx+P3NxcrFixAp2dnd7RHkVFRRg6dCgqKioAACUlJZgyZQqefvppTJs2DVVVVXj33XfxwgsvRPeTEBElINUhPXPmTHz++ecoLy+HzWbD2LFjsW3bNu+Xg62trUhJOddAnzhxItavX4/HHnsMjz76KK688kps3rwZ1157reL3FN8MbXE6nWqrS0QkJU+eiRBD93Qi1BESOHLkSFgjPIiIZGe1WmEymQKWx0VId3d349ixY8jIyIBOp1N8nmdUiNVqhcFg0LCG8YX3JTDeG/94XwIL994IIdDe3o7s7Gyf3ofzSTkE73wpKSlBf9OEYjAY+BfLD96XwHhv/ON9CSyce2M0GkMew1XwiIgkxpAmIpJYQoe0Xq/HkiVLIp4Yk2h4XwLjvfGP9yUwre9NXHxxSESUrBK6JU1EFO8Y0kREEmNIExFJjCFNRCSxhA1ptQ/LTUR/+ctfcNtttyE7Oxs6nQ6bN2/2KRdCoLy8HEOGDMGFF16IvLw8fPzxx7GpbB+qqKjAv/7rvyIjIwOXXnopCgoK8NFHH/kcc/r0aSxYsAAXX3wxBg4ciB/96Ee9ltxNNL/73e8wevRo76QMi8WCrVu3esuT8Z4E8utf/xo6nQ6lpaXefVrdn4QMabUPy01UnZ2dGDNmDCorK/2WP/XUU/jtb3+LVatW4Z133sGAAQOQn5+P06dP93FN+9aOHTuwYMECvP3226ivr8fXX3+Nm2++2ed5dQ8++CD+9Kc/YePGjdixYweOHTuGwsLCGNZaeyaTCb/+9a+xd+9evPvuu/i3f/s33H777Th48CCA5Lwn/uzZswe///3vMXr0aJ/9mt0fVQ/lihO5ubliwYIF3tcul0tkZ2eLioqKGNYqtgD4PJuyu7tbZGVliaVLl3r3nTx5Uuj1evHKK6/EoIaxc/z4cQFA7NixQwjhvg/9+vUTGzdu9B7z4YcfCgBi165dsapmTAwaNEj893//N+/JN9rb28WVV14p6uvrxZQpU0RJSYkQQtu/MwnXkj5z5gz27t2LvLw8776UlBTk5eVh165dMayZXFpaWmCz2Xzuk9FoxIQJE5LuPjkcDgDAv/zLvwAA9u7di6+//trn3owcORLDhg1LmnvjcrlQVVWFzs5OWCwW3pNvLFiwANOmTfO5D4C2f2fiYoElNYI9LPfQoUMxqpV8PA8CVvuQ4ETT3d2N0tJSfPe73/WucW6z2ZCWloaLLrrI59hkuDfvv/8+LBYLTp8+jYEDB6K2thbXXHMNmpubk/aeeFRVVWHfvn3Ys2dPrzIt/84kXEgTqbFgwQIcOHAAf/3rX2NdFSlcddVVaG5uhsPhwKZNm1BcXIwdO3bEuloxZ7VaUVJSgvr6eqSnp/fpeydcd0c4D8tNRp57kcz36f7778ef//xnNDY2+iyFm5WVhTNnzuDkyZM+xyfDvUlLS8MVV1yBcePGoaKiAmPGjMHKlSuT+p4A7u6M48eP4zvf+Q4uuOACXHDBBdixYwd++9vf4oILLkBmZqZm9yfhQjqch+Umo+HDhyMrK8vnPjmdTrzzzjsJf5+EELj//vtRW1uLN998E8OHD/cpHzduHPr16+dzbz766CO0trYm/L05X3d3N7q6upL+ntx44414//330dzc7N3Gjx+PH//4x96fNbs/EX3tKKmqqiqh1+vF2rVrxQcffCDmzZsnLrroImGz2WJdtT7V3t4u9u/fL/bv3y8AiOXLl4v9+/eLzz77TAghxK9//Wtx0UUXiddee02899574vbbbxfDhw8Xp06dinHNtfWzn/1MGI1GsX37dtHW1ubd/vnPf3qPmT9/vhg2bJh48803xbvvvissFouwWCwxrLX2Fi1aJHbs2CFaWlrEe++9JxYtWiR0Op144403hBDJeU+C6Tm6Qwjt7k9ChrQQQjz77LNi2LBhIi0tTeTm5oq333471lXqc42NjQJAr624uFgI4R6G9x//8R8iMzNT6PV6ceONN4qPPvootpXuA/7uCQCxZs0a7zGnTp0SP//5z8WgQYNE//79xQ9/+EPR1tYWu0r3gZ/85CfisssuE2lpaeKSSy4RN954ozeghUjOexLM+SGt1f3hUqVERBJLuD5pIqJEwpAmIpIYQ5qISGIMaSIiiTGkiYgkxpAmIpIYQ5qISGIMaSIiiTGkiYgkxpCmhHfvvfeioKAg1tUgCgtDmohIYgxpSmrLly/HqFGjMGDAAJjNZvz85z9HR0eHzzEvvvgizGYz+vfvjx/+8IdYvnx5rydwEGmFIU1JLSUlBb/97W9x8OBBvPTSS3jzzTfx8MMPe8vfeustzJ8/HyUlJWhubsZNN92EJ598MoY1pmTDVfAo4d177704efIkNm/eHPLYTZs2Yf78+Thx4gQAYNasWejo6MCf//xn7zF33303/vznP/d6CgeRFtiSpqT2f//3f7jxxhsxdOhQZGRk4J577sEXX3yBf/7znwDcT9fIzc31Oef810RaYkhT0vr0009x6623YvTo0aiursbevXtRWVkJADhz5kyMa0fkxqeFU9Lau3cvuru78fTTTyMlxd1eefXVV32Oueqqq7Bnzx6ffee/JtISQ5qSgsPhQHNzs8++wYMH4+uvv8azzz6L2267DW+99RZWrVrlc8wvfvELTJ48GcuXL8dtt92GN998E1u3boVOp+vD2lMy4xeHlPDuvfdevPTSS73233ffffj2t7+NpUuX4uTJk5g8eTJ+/OMfo6ioCF999ZV3mN2LL76IX/3qV/jyyy+Rn5+P8ePH47nnnkNbW1sffxJKRgxpIpXmzp2LQ4cOYefOnbGuCiUBdncQhbBs2TLcdNNNGDBgALZu3YqXXnoJzz//fKyrRUmCLWmiEO644w5s374d7e3tuPzyy/GLX/wC8+fPj3W1KEkwpImIJMZx0kREEmNIExFJjCFNRCQxhjQRkcQY0kREEmNIExFJjCFNRCQxhjQRkcT+P87mDFeidkCmAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 400x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot.acf_volatility(df_btc, df_ada, df_eth, df_ltc, time_window = 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Response Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VQTV4+kUikcDZ2RkODg4opK7RFTI1NaWau6o6epTf+/urrwbAw4MneF278n9iWv6nQwke0UnJycCgQcCpU/z5iBHA6tXKDe2rok8fXnM3YgQfoPy114CgIPXFS9SvtBq8yqIETz8ZGxtT4kI0QzHtjb+/+rb53nvFiePdu8rT8WgBXagiOufpU6B7d57cWVkBv/7Kx5isbnKnMHw4sGQJfzxtWvGQGkQ3vTwOXlXdvq3eWAgheiwlBbhyhT9+9131bXfSpOLHV6+qb7uVRAke0SnPn/O/rxs3+HzNsbHA0KHq2/7nnwMDB/IetR9+yNu+Et2kSoIXEKDeWAgheuzQIX7/+ut8HkR1GjaM34vwq5MSPKIzMjKAnj35DylHR+D4cT7WnTpJJHxstFateHI3dGjlemUS7cvN5ffVSfBatVJvLIQQPbZ1K7/v31/921b8E6MEjxiq7Gxe63LhAh+s9s8/1Z/cKVhZ8RloLC2BEyeAtWs1sx+iGkUNXnV6xL7cMaNFC/XEQwjRQ7Gx/B+OkREfrkHdFP/IwsN5z8HHj9W/jzJQgkdEl5vLO0H89RcfrPaPP/gMFJrUtCmwbBl/PHMmtdnSRarU4EkkfIQCoPjqCyGElDBvHr8fOpSPjq9uzZsXPzYxKR7EVQuDH1OCR0RVUMDbwh0/zmvWjhyp+jAo1TVhAuDnxxOJTz6hOUt1jSo1eABw/TrvsFOnjvpiIoTokUuX+C9AY+PiRE/dPD35P7mXzZzJx+/SMErwiGgYA8aO5X9fiqn73nxTe/s3MuLt8WrVAk6fBvbu1d6+ScVUqcED+A8Ge3v1xUMI0TO//srv+/cvnlpM3SQSICKCd+B4WUQEn0BbgyjBI6JZt47PE2pszJOrt9/WfgxubsD06fzxF1/QfLW6RNUaPEIIKZNczic3BzTT9u5lRka8tlAuLx6rC9D4WF2U4BFRnD8PTJ3KH3/zDdCjh3ix/N//8Y4dN28Cv/wiXhxEmao1eIQQUqbTp3mHBxsbPnyDNkgkfJ7NTz7hz6OjNbo7SvCI1j17xpskFBbymvHPPhM3HltbPr8tAMyfz9sFEvFRDR4hRGMiIvj9Bx8AUql2992pE7+nBI/oE5mMty19+JD3ZP3pJ92YE/bTTwFnZx7Xli1iR0MAqsEjhGhIURGwaxd/PGiQ9vffuTO/v3AByMvT2G4owSNaNX8+H3LI0pKPRWdjI3ZEnLk5EBzMHy9ZwhNRIh7GgPR0/tjKStxYCCF6ZscOPj1ZvXp8KAVte+01Ppp/QQFw7ZrGdkMJHtGaAweAr77ijzds0L3ZBsaPB2rXBm7doh61YsvIKL5E6+oqbiyEED0ilwPLl/PHkycDpqbaj0EiKf4HePSoxnZDCR7Rinv3iqfkmzxZK0MAVZm1dfHc0KGhNC6emJ494/e1alEbPEKIGi1fznu0WlrywVDForhMpBhxXwMowSMal5vLO1OkpQG+vsC334odUdmmTOEJhWL2GiIORYKnj+PYhYaG4o033oC1tTUcHBwQGBiIW7duVfi6nTt3onnz5jA3N4enpycOvTJFB2MM8+bNg7OzMywsLODn54c7d+6oJea1a9eiUaNGMDc3h4+PD86fP19qOcYYevXqBYlEgr1UDU50TUoKsGABf7xyJb9EK5ZRozS+C0rwiEYxxjswxMXxv6UdOwAzM7GjKpu9PR98GeC1eEQcycn8Xh8TvJMnTyIoKAhnz57FsWPHUFhYiB49eiA7O7vM15w5cwaDBw/G6NGjcfnyZQQGBiIwMBDXr18XyixduhSrVq3CunXrcO7cOdSqVQv+/v7IU7ERd0REBIKDgzF//nxcunQJbdu2hb+/P1JTU0uUDQsLg0QXek0RUpolS3jbDx8fYPRocWMZPlzz0+wwYhDS09MZAJaenq7V/W7cyBjAmJERY5GRWt11tT14wJiJCY/77FmxozFM06fz9/+jj1Tflljf/cpKTU1lANjJkyfLLDNw4EAWEBCgtMzHx4eNHz+eMcaYXC5nTk5ObNmyZcL6tLQ0JpVK2bZt24RliYmJbMCAAczW1pbVrl2b9enThyUkJJQbn7e3NwsKChKey2Qy5uLiwkJDQ5XKXb58mbm6urKkpCQGgO3Zs6eiQxfo+mdE9EBREWP16vETy8GDYkfDzZnD0gGNffepBo9oTHw8v+QJAIsXA++8I248leXmBnz8MX/88qDjRDsYA1as4I/NzcWNRRvS/+suXKecX/MxMTHwe6W3n7+/P2JiYgAACQkJSE5OVipja2sLHx8foUxhYSH8/f1hbW2N6OhonD59GlZWVujZsycKyhj8saCgALGxsUrbNTIygp+fn7BdAMjJycGQIUOwdu1aODk5VXjM+fn5yMjIULoRolFnzvDJqWvXBt59V+xouGnTgL59NbZ5SvCIRshkwIgRQHY20KULn1u5Jpkxg9/v3Qvcvi1qKAYnM7P4cYcO4sWhDXK5HNOmTcNbb72F1q1bl1kuOTkZjo6OSsscHR2R/N+1bMV9eWUiIiIgl8uxYcMGeHp6okWLFti0aRMSExMRFRVV6n6fPXsGmUxW7nYBYPr06ejYsSP6VvKfVWhoKGxtbYVbgwYNKvU6Qqpt925+/9574vScLU3duny+Tg2hBI9oxLJlfCYYa2tg82Y+FV9N0qIFPw+8XJtEtCMrq/jxp5+KF4c2BAUF4fr169i+fbvG93XlyhXcvXsX1tbWsLKygpWVFerUqYO8vDzEx8cjOjpaWG5lZYUtlRzxe//+/Th+/DjCwsIqHUtISAjS09OF28OHD6t5VIRUQmIiEB7OHw8cKGoo2mQidgBE/8TFAfPm8cerVgENG4oaTrX93//xsfvCw4GFCwEHB7EjMgyK8e+srXVjlhNNmTRpEg4cOIBTp06hfv365ZZ1cnJCSkqK0rKUlBThcqjiPiUlBc7Ozkpl2rVrBwDIysqCl5dXqYlbvXr1YGZmhri4OGGZo6MjpFIpjI2Ny9338ePHER8fDzs7O6Uy/fv3R+fOnUutHZRKpZBqe3ooYpjkcj6MQ3o60K4d0Lu32BFpTQ2rVyG6Li+Pj3dXWAgEBvLLtDXV228Db7zBj2njRrGjMRyKzqS1aokbh6YwxjBp0iTs2bMHx48fh7u7e4Wv8fX1RWRkpNKyY8eOwdfXFwDg7u4OJycnpTIZGRk4d+6cUKZ9+/a4c+cOHBwc0KRJE6Wbra0tLCwslJZZW1vDzMwMXl5eStuVy+WIjIwUtjtr1ixcvXoVcXFxwg0AVqxYgU2bNqn0XhGisl27gIsX+S/Gfftq3uUkVai92wbRSdrqpfZ//8c7KTk4MJaaqtFdaUV4OD+eRo0Yk8nEjsYwnD7N3/PGjdWzPV3roTlx4kRma2vLoqKiWFJSknDLyckRygwbNozNmjVLeH769GlmYmLCvv32W3bz5k02f/58Zmpqyq5duyaU+eabb5idnR3bt28fu3r1Kuvbty9zd3dnubm5jDHGsrOzmYeHB+vatSs7deoUu3fvHjtx4gSbPHkye/jwYZnxbt++nUmlUhYeHs5u3LjBxo0bx+zs7FhycnKZrwH1oiViyslhLDaWsQ0bGHN25ieUBQvEjqpUmvzuU4JnILRxAo2KYkwi4X9L+/drbDdalZPDmJ0dP6bDh8WOxjAcO8bfb09P9WxP15IH/Dcswqu3TZs2CWW6dOnCRowYofS6HTt2sKZNmzIzMzPWqlUrdvCVoR7kcjmbO3cuc3R0ZFKplHXv3p3dunVLqUxSUhIbPnw4s7e3Z1KplDVu3JiNHTu2wvdm9erVzM3NjZmZmTFvb292toLxgyjBI6K5ebM4qVPcWrZkLCND7MhKpcnvvoQxmpDJEGRkZMDW1hbp6emwsbHRwPaBNm2ABw/4+JEbNqh9F6KZNo0Pet63L81Rqw379vHL+z4+wNmzqm9P0999ojr6jIha5Ofz6ZIuX+bPu3QBvLyA2bN5j1UdpMnvPnWyIGoxbRpP7tzd9a/X6fjxPMH7/Xfg0SOggvbwREX63gaPEKIh8+fz5K5uXeDqVcDFReyIRGVArQ2JpuzbB2zaxHs8/vwzb8uqT1q04D8E5XL9qpnUVf+N+6t33yNCiAbduQMsX84fb9hg8MkdoKcJnj5O5t21a1dIJBKl24QJE9Syb1WkphbP3TpjBtCpk7jxaIrirf7xR6CoSNxY9N3Tp/xezHnACSE1zMyZ/OTcqxdv40H0M8HT18m8x44di6SkJOG2dOlSlfarKsZ4cvf0KW9/t3ChqOFo1Acf8ITjyRPglbyfqJkiwaNxBwkhlXLlCrBnDx8CZdkysaPRHWrvtqGD9GEy7y5durCpU6dW5nBLpYmeOhs38g5KZmaMXb2qts3qrOnT+fEOHix2JPpt0CD+Pq9YoZ7tUQ9N3UefEVHJiBH8pDFokNiRVJkmv/t6WYP3Kn2YzBsAtmzZAnt7e7Ru3RohISHIUQz5XwpNT+adkABMncofL14MeHqqdfM6STHDze+/A7m54saiz6gGjxBSaUlJwNat/HFwsLix6Bi9T/D0ZTLvIUOG4Ndff8WJEycQEhKCX375BR9//HGZx6PJybxlMj5DRVYW0Lmz4fxN+fgADRrw4z56VOxo9JeiZQK1wSOECBjjvWRbtuTDNqSk8B6zU6fyqZM6dgS8vcWOUqfo/TApism8//rrL43v6+XJvF/28mTevXr1EpavX78e3bp1q9S2x40bJzz29PSEs7Mzunfvjvj4eLz22mslyoeEhCD4pcwrIyNDbUne0qVAdDRgZQVs3gwYG6tlszpPIgE+/JAPA7NzJ7Xj1RTqZEEIKWHpUmDRIv745k0+dtXL5s7Vfkw6Tq8TPH2ZzLs0Pj4+AIC7d++WmuBpajLv3buBL77gj1eu5OPeGZKBA3mCt38/v0xrYSF2RPpFLgeePeOP6RItIQQAP+HOns0fDxnCE7zLlwE7O6BJEz5Yac+eooaoi/TyEi3Ts8m8S6NIFF9ONjXt9Glg6FBeU/7pp8CoUVrbtc6gy7SalZbGmwAAgL29qKEQQrTl+HGgXz+gRw8+3ElEBJ+VAuAn2gED+K+/sWOBX38FYmP5yPopKcCFC8CYMeLGr6vU3m1DB+jbZN53795lixYtYhcvXmQJCQls3759rHHjxuztt9+u9Huiak+df/5hrE4d3lGpb1/GioqqtRm9oOhNO2SI2JHon5s3+Xtra6u+bVIPTd1Hn5GBSkzkwxK8PG+s4ubiwlj//oxJpfz5hx8yVlgodsRqp8nvvl4meNCzybwTExPZ22+/zerUqcOkUilr0qQJ+/zzz6v0hVDlS5SczJi7O/8b8/FhLDu7ypvQK2fO8PfCyoqxl34zEDU4dYq/t02aqG+blDzoPvqMDNDvvzPm5FSc0I0dy9gPPzA2fjxP7l5O9j74gLH8fLEj1ghNfvcljDEmRs0h0a7qTmicnQ107QpcvAi89hoQE0ON3+VyoFEj4OFD4Lff+CDIRD1++w3o35/PF37mjHq2SRPZ6z76jAzI/fvApEnAwYP8eevWvLde+/bFZfLzgQMHgFu3eO/YLl14Lzc9pMnvvl62wSPqUVQEDBrEkzt7e+DwYUruAD5Y+qBB/PG2beLGom+oBy0heiwqCvDy4smdqSmf3zImRjm5AwCplP/Smz2b1zDoaXKnaZTgkVIxBgQF8b9Dc3M+uK+Hh9hR6Y7Bg/n9gQNAZqa4segTSvAI0UNyOR9+4N13gefPgTfeAK5eBZYs4eNtEY2gBI+UKjQU+OEH/sNp2zbgzTfFjki3vP46T3hzc4F9+8SORn8oRguiIVII0RMFBXz4heBgfllo8GDg5EmgeXOxI9N7lOCREn79tXisu1WraEDf0kgkgGIikU2bxI1FnyQl8XsXF3HjIISowfPnQJ8+wPbtgIkJ8N13wJYtNICollCCR5QcPw588gl//PnnvC0sKd3IkTzRO34ciI8XOxr98OQJv6cEj5Aa7sgRPkn50aOApSVvzzJxIrWn0yJK8Ijg2jXeI7SwEPjoI+Cbb8SOSLe5ufFxOQFg40ZxY9EXlOARogcWLAB69eJ/0E2b8rkt/f3FjsrgUIJHAACPHvG/x4wM4O23gfBw3luUlE8xRfD69XxIGVJ9jBVfotXiBC2EEHX69Vdg4UL+ePJkPqXYq71kiVbQv3CC9HSgd2/g8WOgRQtg717eS51UrG9fPj7g8+fUFk9V2dm8PTZAvWgJqZGuXy/+1Tt3Lm/EbWkpbkwGjBI8A1dQwIcbunYNcHLiY93Vri12VDWHsTHw2Wf88fLlvJMYqZ70dH5vYkJtsAmpcZ4+5fPJ5ubytivz54sdkcGjBM+AMcbnaI6M5EMRHToENGwodlQ1z8iRvMbp/n1g926xo6m5FAmerS21wyakRklL423s7tzhjZO3bOG/fomoKMEzYHPnAr/8wv8Od+3iY7uRqrOwKO5tvHQpT5xJ1b2c4BFCaoisLN7G5/JlPoDlH3/wqY+I6CjBM1A//AB89VXxY+rgpJqgIN7U5NIlPmwKqTpK8AipYQoK+NALMTG8bc+xY0CzZmJHRf5DCZ4BOnQI+PRT/nj+/OJx70j11a1b/D4uWyZuLDUVJXiE1CCKNj5//snb+Bw5ArRpI3ZU5CWU4BmYS5eAAQMAmQwYNYrawapTcDAfWuboUeDKFbGjqXkowSOkBpk3r7iNz86dgLe32BGRV1CCZ2AGDABycngnp/XrqTG7Orm7AwMH8sdUi1d1ijl969YVNw5CSAW2bgUWL+aP168HevYUNx5SKkrwDMyzZ0C7dvwHl6mp2NHon88/5/fbtxcP2ksqVljImw4AQFSUqKEQQsrz8GFxG5+QEGD0aHHjIWWiBM/A1K8PHDwI2NiIHYl+at8e6NiRXwL/9Vexo6k5Xp7Ld9Ei8eIghJRDLudte9LTAR8f+mPVcZTgGZhdu2ieT00bOZLfh4fTkCmV9fx58eOhQ8WLgxBSju++4wOnWlgAP//MRyUnOosSPAPTooXYEei/gQMBc3Pgxg3g4kWxo6kZFPP4Uic8QnTUrVvAjBn88bJlQNOm4sZDKkQJHiFqZmvLZ+wBeC2eIXr2jLdDlMkqVz4nh9/TtJWE6KCcHF61npsLvPsuMHGi2BGRSqAEjxANUFym3boVyMgQNRRRDBsGDB4MfPll5cpTgkeIjpLLgeHDgdhYoE4d4Kef+HhQROfRp0SIBrzzDr+CkZYGfP212NFo35Ej/H7hwsqVV1yirVVLM/EQQqqBMT40wO7dgJkZsHcv76lHagRK8AjRAGNjYPly/njFCuDePXHj0abcXOXnKSkVv4Zq8AjRMYwBc+YA//sff75xI9C5s7gxkSqhBI8QDQkI4M1VCgqAmTPFjkZ7/v1X+fmZMxW/hhI8QnTMwoXFlx9WrQI+/ljceEiVUYJHiIZIJMW1eLt3K4/1ps9eHvIE4NPjVYQSPEJ0yJIlxe0r/vc/YPJkceMh1UIJHiEa5OkJ9OrFr3asXSt2NNrxaoJ365byuqlTgevXlctQGzxCdMSmTcCsWfzxN98A06eLGw+pNkrwCNGwKVP4/caNQFaWuLFow6uXaG/fLn48bBi/2tOnj3IZqsEjRAf8/jswdix/PHOmYbUt0UOU4BGiYT168B61GRl88Hd9p5iDt3Vrfn/lSnGtnqJ3bUICcPky4OXFx8tT1OBRgkeISE6f5qO0y2R8nKfQULEjIiqiBI8QDTMyKm7Csno1H1ZKnykSvE6dipft28fv7eyKl7Vvz9vnjRlTXLNpZaWVEAkhL7t+HXjvPSAvj9//+CNvRExqNErwCNGCESMAa2vgn3+Ao0fFjkazkpP5ff36PHkDgJgYXjHwavs8gNfeUYJHiEgePAD8/fmgnR07AhERNMesnqAEjxAtsLYuTnYWLuSdLvRVaiq/d3AA3nqLP75/Hzh3ruzXKNrtWVtrNDRCyMuePePJ3ZMnQMuWvA0etZPQG5TgEaIlM2YAFhY80Tl+XOxoNOfpU35fr17xoPePHxcPE1NaT9mEBH5vCDV4p06dwvvvvw8XFxdIJBLs3bu3wtdERUWhffv2kEqlaNKkCcJLmeR47dq1aNSoEczNzeHj44Pz58+rJd6dO3eiefPmMDc3h6enJw4dOlRm2QkTJkAikSAsLEwt+yYalJ3NL8feugU0aMAvLdSpI3ZURI0owSNES5yciueo/fFHUUPRqNISvEeP+OVpABgyBDh8WPk1L17we0NI8LKzs9G2bVusreS4OQkJCQgICEC3bt0QFxeHadOmYcyYMTj60rX+iIgIBAcHY/78+bh06RLatm0Lf39/pCqqU6vpzJkzGDx4MEaPHo3Lly8jMDAQgYGBuP7qODcA9uzZg7Nnz8LFxUWlfRItKCzkHSrOneNJ3dGjNAWZPmLEIKSnpzMALD09XexQDNrly4wBjJmaMpaaKnY0mmFtzY/x1i3GMjP5Y4CxXr34/f/+V1xWsU5xu3ZN/fHo8ncfANuzZ0+5ZWbMmMFatWqltGzQoEHM399feO7t7c2CgoKE5zKZjLm4uLDQ0FBh2YsXL9jo0aOZvb09s7a2Zt26dWNxcXHl7nvgwIEsICBAaZmPjw8bP3680rJHjx4xV1dXdv36ddawYUO2YsWKcrf7Kl3+jPSOXM7YyJH8D87CgrEzZ8SOyKBp8rtPNXiEaFG7dkCHDvwH9ObNYkejfvn5QGYmf1yvHq+RU3TGU9TaOTuX/fq6dTUbX00UExMDPz8/pWX+/v6IiYkBABQUFCA2NlapjJGREfz8/IQyADBgwACkpqbi8OHDiI2NRfv27dG9e3c8L63nSyX3DQByuRzDhg3D559/jlatWql0rEQLvvgCCA/nE2bv2AH4+oodEdEQSvAI0bJx4/j9jz/qX2cLxeVZE5PiIVEaNlQu06hR8eMlS5TXOTpqKrKaKzk5GY6vvDGOjo7IyMhAbm4unj17BplMVmqZ5P+6NP/11184f/48du7ciQ4dOsDDwwPffvst7OzssGvXrirvW7FdAFiyZAlMTEwwRTGidyXk5+cjIyND6Ua0YPXq4vHt1q/nbfCI3qIEjxAt++gjXrN1+zZw6pTY0aiXIsGzty+uuZs/X7lM48bFj9u0UV5nRGckjbhy5QqysrJQt25dWFlZCbeEhATEx8cjMTFRafnXiknmKxAbG4uVK1ciPDwckiqMmxYaGgpbW1vh1qBBg+oeGqmsnTv5PIEA8OWXwOjR4sZDNI4GuyFEy6ytgcGDeQ3ejz8CXbqIHZH6vNzBQqFnz+LHlpbK67p1K3786hRnhHNyckJKSorSspSUFNjY2MDCwgLGxsYwNjYutYyTkxMAICsrC87OzoiKiiqxfTs7O9jZ2SEuLk5YVue/3pRl7Vux3ejoaKSmpsLNzU1YL5PJ8NlnnyEsLAz3798v9ZhCQkIQHBwsPM/IyKAkT5P++AP4+GN+yeDTT/llWqL36PcyISJQXKbdtUu/EpvSEjwnJ2DFCmDePCA9XXmAfKm0uIsFjdBQOl9fX0RGRiotO3bsGHz/aztlZmYGLy8vpTJyuRyRkZFCmfbt2yM5ORkmJiZo0qSJ0s3e3r7EckWCV9G+hw0bhqtXryIuLk64ubi44PPPP1fq5fsqqVQKGxsbpRvRkOhoIDAQKCgA+vfnk0HTLBUGgWrwCBGBl1fxVF3ffQfMnSt2ROpRWoIHANOmaT0UnZWVlYW7d+8KzxMSEhAXF4c6derAzc0NISEhePz4MX7+b+LiCRMmYM2aNZgxYwY++eQTHD9+HDt27MDBgweFbQQHB2PEiBHo0KEDvL29ERYWhuzsbIwaNQoA4OfnB19fXwQGBmLp0qVo2rQpnjx5goMHD+KDDz5Ahw4dSo116tSp6NKlC5YvX46AgABs374dFy9exA8//AAAqFu3Luq+0jPG1NQUTk5OaNasmVrfN1INFy4AAQFAbi7QqxewdSvvXEEMg9r75RKdRMMQ6J5t23jdlb09Y9nZYkejHrNn82OaNEnsSIrp2nf/xIkTDECJ24gRIxhjjI0YMYJ16dKlxGvatWvHzMzMWOPGjdmmTZtKbHf16tXMzc2NmZmZMW9vb3b27Fml9RkZGWzy5MnMxcWFmZqasgYNGrChQ4eyxMTEcuPdsWMHa9q0KTMzM2OtWrViBw8eLLc8DZOiI65eZax2bf4H2bUrYzk5YkdESqHJ776EMX3rx0dKk5GRAVtbW6Snp9PlEB1RVAQ0bcpncVi9Gpg0SeyIVDd2LLBhA5+Obd48saPh6Luv++gzUrO7d4FOnYCUFODNN3kbPJoHUCdp8rtPbfAIEYmJCfD55/zxt9/ysfFqOkU7fQ8PUcMgxHA9fgz4+fHkrk0b4NAhSu4MVI1P8Ko6/2JF8yoyxjBv3jw4OzvDwsICfn5+uHPnjiYPAXl5eQgKChKGMOjfv3+JnmuJiYkICAiApaUlHBwc8Pnnn6OoqEijcRHNGzkScHAAHjzg5+GaLDsbuHyZP37rLXFjIcQgPXsGvPsuP6E0acJr7mrXFjsqIpIaneBVdf7FysyruHTpUqxatQrr1q3DuXPnUKtWLfj7+yMvL6/acY4cORILFiwoc/306dPx+++/Y+fOnTh58iSePHmCfv36CetlMhkCAgJQUFCAM2fOYPPmzQgPD8c8XbkGRqrNwoIPmQIAu3eLG4uqLlwAZDLA1ZXPXU4I0aKMDN6R4uZN/kf45580crihU3urPi2qzPyLL6toXkW5XM6cnJzYsmXLhPVpaWlMKpWybdu2CcsSExPZgAEDmK2tLatduzbr06cPS0hIKDPOESNGsPnz55e6Li0tjZmamrKdO3cKy27evMkAsJiYGMYYY4cOHWJGRkYsOTlZKPP9998zGxsblp+fX+Z+X0aNmHVXdDRvB21ry1glP06dNHo0P44hQ8SORBl993UffUYqys3lHSkUvbZu3BA7IlJJNBdtKSo7/+LLKppXMSEhAcnJyUplbG1t4ePjI5QpLCyEv78/rK2tER0djdOnT8PKygo9e/ZEQUFBlY8jNjYWhYWFSvts3rw53NzchH3GxMTA09NTacogf39/ZGRk4O+//y51uzQVUM3RsSMfKy49HTh+XOxoqocx4MAB/njoUHFjIcSgFBYCgwYBUVG8rd2RI0CLFmJHRXRAjU3wKjP/4qsqmldRcV9emYiICMjlcmzYsAGenp5o0aIFNm3ahMTExFJHia9IcnIyzMzMYKeYuLOMuEqL6eWYX0VTAdUcRkbABx/wxzX1Mu39+7xNt7Ex0LWr2NEQYiCKivgMFfv3A+bmwO+/80E2CUENTvDEcuXKFdy9exfW1tbCvI116tRBXl4e4uPjAQBbtmxRmtdxy5Yt+Prrr5WWRUdHazTOkJAQpKenC7eHDx9qdH9ENf378/s9e/g5u6ZZs4bfv/kmn46MEKJhMhkwahSwYwdgasp/HerTvIdEZTV2Jgt7e/sK5198VUXzKiruU1JS4OzsrFSmXbt2APgo9F5eXtiyZUuJ7df7b/j+Pn36wMfHR1g+c+ZMuLq6YsqUKcIyV1dXYZ8FBQVIS0tTqsV7Na5XewcrjqOsY5VKpZBKpaWuI7qnSxegbl0+bdmpU8A774gdUfliYoAZM4BZs/hcs7/9xpfrw1h+hOg8uZzPd/jrr3y8pR07gN69xY6K6JgaW4NXmfkXX1XRvIru7u5wcnJSKpORkYFz584pzel4584dODg4lJjT0dbWFgBgbW2ttNza2hp16tRRWmZhYQEA8PLygqmpqdI+b926hcTERGGfvr6+uHbtmlLv4GPHjsHGxgYtW7as9ntIdIeJCZ8uEqgZl2knTAD++gsYPRq4fp1foq1VC3jvPbEjI0TPMcZ/Sf30E2/fsXVr8cmDkJepvduGFm3fvp1JpVIWHh7Obty4wcaNG8fs7OyE3qbDhg1js2bNEsqfPn2amZiYsG+//ZbdvHmTzZ8/n5mamrJr164JZb755htmZ2fH9u3bx65evcr69u3L3N3dWW5uLmOMsezsbObh4cG6du3KTp06xe7du8dOnDjBJk+ezB4+fFhqnOX1omWMsQkTJjA3Nzd2/PhxdvHiRebr68t8fX2F9UVFRax169asR48eLC4ujh05coTVq1ePhYSEVPq9ol5quu/wYd4JztGRsaIisaMpn7U1jxVg7PPP+f0774gdVenou6/76DOqJLmcsWnT+B+cRMLYL7+IHRFRkSa/+zU6wWOs/PkXu3TpIszvqFDRvIpyuZzNnTuXOTo6MqlUyrp3785u3bqlVCYpKYkNHz6c2dvbM6lUyho3bszGjh1b5gdUUYKXm5vLPv30U1a7dm1maWnJPvjgA5aUlKRU5v79+6xXr17MwsKC2dvbs88++4wVFhZW4h3i6ASq+/Lzi6eOjIwUO5qyPX1anNy9fJs5U+zISkfffd1Hn1ElFBUxNn588R/cxo1iR0TUgOaiJSqjuR5rhvHjgR9+AAYM4M1qdNGJE6W3Edy9G3hpfG6dQd993UefUQUKCoBhw/hJQSIB1q/nEz+TGo/moiXEQHz6Kb/fswdISxM1FCQmAteulVyuWNa6NW8CpNCtm3biIsSgZGcDffoU95bdvp2SO1IplOARokPatgVatuRDpSgGDhYDY3w8u3btSiZ5R47w+8BA4J9/+LSXcjlNeUmI2r14weeWPXqUjz/0++/AwIFiR0VqCErwCNExijHxxOxNe+MGkJDAE7e9e/loDOPHA9HRwOHDvEz79oCHB+Dmxq8aEULUKCmJj58UEwPY2fG5Zf39xY6K1CA1dhw8QvRVv37Al1/ymrLsbD78iLa9PCnLt9/yecwB3j4QADw9aUgUQjTmzh0+wOS9e4CzM6/B8/QUOypSw1ANHiE6pm1boHFjIC+vuLZM217e76vTGJubA5GRvDkQIUTNTp7kU8Lcu8dPBH/9RckdqRZK8AjRMRJJ8WXa338XJ4bLl0suGz4cGDyYdwD5b9IWQog6hYfzNnfPnwPe3sDp0zzJI6QaKMEjRAd1787v//pL+/vOyACePOGPAwL4fatWwMaNfND8nj21HxMhek0uB2bP5nPLFhbyjhRRUUAZU1ESUhnUBo8QHeTry4cguXcPePgQaNBAe/u+c4ffOzgAa9cCHTrw/zsmdLYgRP2ys4GRI4Fdu/jzOXOAhQuVxyAipBroG0SIDrKx4c1wAGDfPu3uOz6e3zdpAjRsCCxYwO8JIWp27Rr/BbVrF2/Uunkz72FFyR1RA/oWEaKjPvyQ3yt+2GuLIsF77TXt7pcQg8EYsGEDb2f3zz+8p2xkJG/oSoiaUIJHiI5SdLQ4daq4TZw2UIJHiAZlZgJDh/LZKPLyeKPWK1eAzp3FjozoGUrwCNFRbm5Ap078x/5332lvv3fv8ntK8AhRs8uX+Qjh27YBxsbAkiXAwYPULZ1oBDWbJkpkMhkKCwvFDkOnmZqawtjYWCv7mj6d96T9/ntgxgzeNk/TXm6DRwhRA7kcWLUKmDkTKCjgvaa2bwc6dhQ7MqLHKMEjAADGGJKTk5Em9gz3NYSdnR2cnJwg0fAcXX37Ak2bArdvA9OmAT/9pNHdITsbePyYP6YaPELUICGBd0M/eZI/79MH2LQJqFNH3LiI3qMEjwCAkNw5ODjA0tJS44lLTcUYQ05ODlJTUwEAzs7OGt2fsTFvi92lC/+fMGaMZn/0//03vyTs4EBXjQhRiaIjRXAwkJXF5xz83/942zs6vxItoASPQCaTCcld3bp1xQ5H51lYWAAAUlNT4eDgoPHLtZ07A598wgcaDgoCzp/X3DRh167xe5oZiRAV3LoFjB9fXGvXuTOfpYJmpSBaRJ0siNDmztLSUuRIag7Fe6Wt9oqLFgF16wJxcbwmT1OuXOH3lOARUg35+XzgyDZteHJnaQksXw6cOEHJHdE6SvCIgC7LVp623ysXF2DuXP540SLeTlsTzp3j997emtk+IXqJMeDwYaBtWz4LRUEB0KsXb/MQHMzbWhCiZZTgEVJDTJjAx0N9/BjYuVP92y8o4DWEACV4hFRaXBzQowfQuze/NOvkBOzYwYc/adRI7OiIAaMEj5AaQirlbfAAICyMVxqo0/XrPMmrXZuuJhFSocePee/Y9u2BP/8EzMyA//s/4OZNYMAA6khBREcJHqnRRo4cCYlEItzq1q2Lnj174urVqwgPD1daV9rt/v37YIzhhx9+gI+PD6ysrGBnZ4cOHTogLCwMOTk5Yh+iknHjAHNz4OJF3mZbnS5e5PdeXvS/iZAyJSUBn30GeHjwP0LGgI8+4lOOLVsG2NmJHSEhACjBI3qgZ8+eSEpKQlJSEiIjI2FiYoL33nsPgwYNEpYnJSXB19cXY8eOVVrWoEEDDBs2DNOmTUPfvn1x4sQJxMXFYe7cudi3bx/++OMPsQ9PSb16vEkPwIdMuXSp7LIJCUBEBJCRUbltKxK8Dh1Ui5EQvZSYCEyaBLi78+FOcnP5VDNnz/KZKdzdxY6QECU0TAqp8aRSKZycnAAATk5OmDVrFjp37oysrCxhOQCYmZnB0tJSadmOHTuwZcsW7N27F3379hWWN2rUCH369EFGZbMjLfryS15Z8NtvfHD80mrybt7kiVpODtCiBe8dW9HQKrGx/J4SPEJeEh8PhIYCmzcDRUV8WceOvNeTvz9VdxOdRQkeKRVjPDnQNktL1c6XWVlZ+PXXX9GkSZNKjem3ZcsWNGvWTCm5U5BIJLC1ta1+MBpiZMQrEn77jd+cnIBdu/j/odq1+f+cK1eKP7+bN4H9+4H+/cveZl5e8Rh4Xl6aPwZCdJpMBvzxB/Djj8C+fXyqMQDo3h2YM4ePPE6JHdFxlOCRUuXkAFZW2t+vYsD3qjhw4ACs/gs2Ozsbzs7OOHDgAIyMKm6BcOfOHTRr1qw6oYrq7bcBHx8+rMmSJcXLX7zgU1wCvK1er17Anj3A0aPlJ3jXrgGFhXysvYYNNRs7ITrr0SM+H+DGjfySrELv3jyx8/UVLzZCqoja4JEar1u3boiLi0NcXBzOnz8Pf39/9OrVCw8ePKjwtUzdXVG1xNgY2L0b6Nq1eNmQIbwm77XXeOXCwoW8nR4AREaWvz3F5VnqYEEMTlERr6V77z3+62b+fJ7c1a4NTJ3Ku5cfPEjJHalxqAaPlMrSktemibHfqqpVqxaaNGkiPN+wYQNsbW3x448/YvHixeW+tmnTpvjnn3+qvlMd4OrKB8jPzASsrYuX9+vHhzuRSoH0dL7s3j3g6dOy55dVjH/Xvr1GQyZEN+TlAVFRPHHbvZv3jFXo0oXPF9u/P68GJ6SGogSPlEoiqfqlUl0hkUhgZGSE3NzcCssOGTIEH330Efbt21eiHR5jDBkZGTrZDu9lLyd3AP/spFL+2NYWaNaMj7964QK/0lQaxRRlbdtqLk5CRPXkCXDoEHDgAHDsmHIjY3t7YORIXuVdA5tsEFIaSvBIjZefn4/k5GQAwIsXL7BmzRpkZWXh/fffr/C1AwcOxJ49ezB48GDMmTMHPXr0QL169XDt2jWsWLECkydPRmBgoIaPQLPefJMneNu3l57gyWTA1av8MSV4RG/I5bztwYED/PbqmEIuLvyy7Hvv8ZkoFL+KCNETlOCRGu/IkSNwdnYGAFhbW6N58+bYuXMnur7cQK0MEokEW7duxQ8//ICffvoJX331FUxMTODh4YHhw4fD399fw9Fr3qhRfISHX37hzYtee015/Y0bvDKjVi0+dishNVJuLp/79epV4PRpfvk1JaV4vUTC5+BTJHVt21KDU6LXKMEjNVp4eDjCKzmlQ1RUVKnLjYyMMGHCBEyYMEF9gemQLl14Z4yoKD7yw8SJyuvPnOH3b74JmNAZgeg6xoAHD3gi9/Ltzp3i4UwUrKz4uEHvvce7lDs6ihMzISKg0zkhBkCR4J06VXaC17GjtqMipAIZGbwX68uJ3LVrZU/PYm/Pa+bateMJXefOfI5YQgwQJXiEGIBOnfj92bMl11GCR3TGnj3A3bvFydz9+6WXMzMDWrYE2rThN09Pfu/oSJddCfkPjYNHiAFQzE5x/z7w77+8Jq9LF2DWLP7/FOCXaIl6rV27Fo0aNYK5uTl8fHxw/vz5csvv3LkTzZs3h7m5OTw9PXHo0CGl9YwxzJs3D87OzrCwsICfnx/u3LmjyUNAXl4egoKCULduXVhZWaF///5IebltG4DExEQEBATA0tISDg4O+Pzzz1GkmNarKkaOBBYv5lOvKJK7+vV576BZs4CtW3mNXlYWcPkyb1z62We8k4STEyV3hLyEEjxCDICdXXEHivPngdGjeZKnmAWjTRtehqhPREQEgoODMX/+fFy6dAlt27aFv78/UlNTSy1/5swZDB48GKNHj8bly5cRGBiIwMBAXL9+XSizdOlSrFq1CuvWrcO5c+dQq1Yt+Pv7Iy8vr9pxjhw5EgsWLChz/fTp0/H7779j586dOHnyJJ48eYJ+/foJ62UyGQICAlBQUIAzZ85g8+bNCA8Px7x586oejJcXH6pk1SrepuDff4GHD3mHidBQYPBgoFWriidWJoQAjBiE9PR0BoClp6eXWJebm8tu3LjBcnNzRYisZqqJ79ngwYwBjL3+Or9X3ExNGTtwQOzoNKe8774meXt7s6CgIOG5TCZjLi4uLDQ0tNTyAwcOZAEBAUrLfHx82Pjx4xljjMnlcubk5MSWLVsmrE9LS2NSqZRt27ZNWJaYmMgGDBjAbG1tWe3atVmfPn1YQkJCmXGOGDGCzZ8/v9R1aWlpzNTUlO3cuVNYdvPmTQaAxcTEMMYYO3ToEDMyMmLJyclCme+//57Z2Niw/Pz8Mvf7MrE+I0LEpsnvPtXgEYH81R5opEw18b3q3p3fX77M70NC+JWuJ0+AgADx4tJHBQUFiI2NhZ+fn7DMyMgIfn5+iImJKfU1MTExSuUBwN/fXyifkJCA5ORkpTK2trbw8fERyhQWFsLf3x/W1taIjo7G6dOnYWVlhZ49e6KgoKDKxxEbG4vCwkKlfTZv3hxubm7CPmNiYuDp6QnHl3qo+vv7IyMjA3///Xep283Pz0dGRobSjRCiXtTJgsDMzAxGRkZ48uQJ6tWrBzMzM0ioLUupGGMoKCjA06dPYWRkBLMa1ENv8GDg66/5tGWursDMmXzsu5o6Y4kue/bsGWQymVLSAwCOjo5lTo2XnJxcannFIN6K+/LKREREQC6XY8OGDcLf8KZNm2BnZ4eoqCj06NGjSseRnJwMMzMz2L1y/f7VuEqL6eWYXxUaGoqFCxdWKRZCSNVQgkdgZGQEd3d3JCUl4cmTJ2KHUyNYWlrCzc0NRkY1pxLc0pJPV7ZnDx89QsdnYCPVcOXKFdy9exfWr8xfl5eXh/j4eADAli1bMH78eGFdfn4+JBIJvv32W2HZ4cOH0blzZ43FGRISguDgYOF5RkYGGjRooLH9EWKIKMEjAHgtnpubG4qKiiCTycQOR6cZGxvDxMSkRtZy1qnDO1gQzbK3t4exsXGJ3qYpKSlwcnIq9TVOTk7lllfcp6SkCDO3KJ63a9cOAJCVlQUvLy9s2bKlxPbr1asHAOjTpw98fHyE5TNnzoSrqyumTJkiLHN1dRX2WVBQgLS0NKVavFfjerV3sOI4yjpWqVQKKU0NRohGUYJHBBKJBKampjClHmqEqMTMzAxeXl6IjIwU5jKWy+WIjIzEpEmTSn2Nr68vIiMjMW3aNGHZsWPH4OvrCwBwd3eHk5MTIiMjhYQuIyMD586dw8T/Rq9u3749IiIi4ODgABsbm1L3Y21trVTDZ21tjTp16qBJkyYlynp5ecHU1BSRkZHo378/AODWrVtITEwU4vL19cVXX32F1NRUODg4CHHb2NigZcuWlXzHCCHqVnOuLxFCSA0SHByMH3/8EZs3b8bNmzcxceJEZGdnY9SoUQCA4cOHIyQkRCg/depUHDlyBMuXL8c///yDBQsW4OLFi0JCKJFIMG3aNCxevBj79+/HtWvXMHz4cLi4uAhJ5NChQ2Fvb4++ffsiOjoaCQkJiIqKwpQpU/Do0aMqH4OtrS1Gjx6N4OBgnDhxArGxsRg1ahR8fX3x5n8DJ/bo0QMtW7bEsGHDcOXKFRw9ehRz5sxBUFAQ1dIRIiKqwSOEEA0YNGgQnj59innz5iE5ORnt2rXDkSNHhA4IiYmJSm04O3bsiK1bt2LOnDmYPXs2PDw8sHfvXrRu3VooM2PGDGRnZ2PcuHFIS0tDp06dcOTIEZibmwPgbUNPnTqFmTNnol+/fsjMzISrqyu6d+9eZo1eRVasWAEjIyP0798f+fn58Pf3x3fffSesNzY2xoEDBzBx4kT4+vqiVq1aGDFiBBYtWlSt/RFC1EPCGGNiB0E0LyMjA7a2tkhPT6/2iZ6Qmoi++7qPPiNiqDT53acaPAOhyONpvCliaBTfefotq7vo/EQMlSbPT5TgGYh///0XAGgoAmKw/v33X9jS2DA6ic5PxNBp4vxECZ6BqFOnDgDe7kcdX6I33ngDFy5cUEvZ8taXtu7VZeU9VzxWjLP18OFDtVSDa+P4DfnYy1pXmeN9dV16ejrc3NyEvwGie+j8VPP+Rg352Mtap2vnJ0rwDISiMbetra1a/oiMjY0rvZ2Kypa3vrR1ry4r7/mr62xsbGrM8RvysZe1rirH++rzmjQotaGh8xNXk/5GDfnYy1qna+cnOuORagkKClJb2fLWl7bu1WXlPa9KnFWhjeM35GMva11VjldTx090n65+R199XpP/Rg352Mtap2vnJ+pFayAMvZeaIR+/IR87QMdfExj6Z2TIx2/Ixw5o9vipBs9ASKVSzJ8/32AHHjXk4zfkYwfo+GsCQ/+MDPn4DfnYAc0eP9XgEUIIIYToGarBI4QQQgjRM5TgEUIIIYToGUrwCCGEEEL0DCV4hBBCCCF6hhI8QgghhBA9QwkeAQAcOHAAzZo1g4eHBzZs2CB2OFr1wQcfoHbt2vjwww/FDkXrHj58iK5du6Jly5Zo06YNdu7cKXZIWpOWloYOHTqgXbt2aN26NX788UexQyJloPMTnZ/o/FT18xMNk0JQVFSEli1b4sSJE7C1tYWXlxfOnDmDunXrih2aVkRFRSEzMxObN2/Grl27xA5Hq5KSkpCSkoJ27dohOTkZXl5euH37NmrVqiV2aBonk8mQn58PS0tLZGdno3Xr1rh48aLBfO9rCjo/0fmJzk/VOz9RDR7B+fPn0apVK7i6usLKygq9evXCH3/8IXZYWtO1a1dYW1uLHYYonJ2d0a5dOwCAk5MT7O3t8fz5c3GD0hJjY2NYWloCAPLz88EYA/3e1T10fqLzE0Dnp+qcnyjB0wOnTp3C+++/DxcXF0gkEuzdu7dEmbVr16JRo0YwNzeHj48Pzp8/L6x78uQJXF1dheeurq54/PixNkJXmarHXtOp8/hjY2Mhk8nQoEEDDUetHuo49rS0NLRt2xb169fH559/Dnt7ey1Fbzjo/ETnJzo/iXN+UmuCl56eDplMps5NkkrIzs5G27ZtsXbt2lLXR0REIDg4GPPnz8elS5fQtm1b+Pv7IzU1VcuRqp8hHzugvuN//vw5hg8fjh9++EEbYauFOo7dzs4OV65cQUJCArZu3YqUlBRthW8wDPlv1JCPHaDzk+jnJ6aiCxcuMH9/f2ZhYcGMjY1ZZGQkY4yxp0+fsj59+rATJ06ougtSBQDYnj17lJZ5e3uzoKAg4blMJmMuLi4sNDSUMcbY6dOnWWBgoLB+6tSpbMuWLVqJV52qc+wKJ06cYP3799dGmBpT3ePPy8tjnTt3Zj///LO2QlU7VT57hYkTJ7KdO3dqMkyDR+enPUrL6PxE5ycFTZyfVKrBO3PmDDp16oQ7d+7g448/hlwuF9bZ29sjPT0d69evV2UXREUFBQWIjY2Fn5+fsMzIyAh+fn6IiYkBAHh7e+P69et4/PgxsrKycPjwYfj7+4sVstpU5tj1WWWOnzGGkSNH4p133sGwYcPEClXtKnPsKSkpyMzMBMCvPpw6dQrNmjUTJV5DRecnOj/R+YnTxPlJpQRv9uzZaNGiBW7cuIGvv/66xPpu3brh3LlzquyCqOjZs2eQyWRwdHRUWu7o6Ijk5GQAgImJCZYvX45u3bqhXbt2+Oyzz/Sih1pljh0A/Pz8MGDAABw6dAj169fXm5NrZY7/9OnTiIiIwN69e9GuXTu0a9cO165dEyNctarMsT948ACdO3dG27Zt0blzZ0yePBmenp5ihGuw6PxE5yc6PxVT9/nJRJUgL1y4gNDQUEilUmRlZZVY7+rqqvRFJbqrT58+6NOnj9hhiOLPP/8UOwTRdOrUSanm3ZB4e3sjLi5O7DBIJdD5yTDR+SlOpW2oVINnampa7pv/+PFjWFlZqbILoiJ7e3sYGxuXaJyZkpICJycnkaLSDkM+dsCwj9+Qj70mMeTPyZCPHTDs49fWsauU4L355ptlDryYnZ2NTZs2oUuXLqrsgqjIzMwMXl5eiIyMFJbJ5XJERkbC19dXxMg0z5CPHTDs4zfkY69JDPlzMuRjBwz7+LV17Cpdol24cCG6dOmCgIAADB48GABw5coV3Lt3D99++y2ePn2KuXPnqiVQUrasrCzcvXtXeJ6QkIC4uDjUqVMHbm5uCA4OxogRI9ChQwd4e3sjLCwM2dnZGDVqlIhRq4chHztg2MdvyMdekxjy52TIxw4Y9vHrxLFXsbdvCZGRkaxp06ZMIpEo3Zo0acKioqJU3TyphBMnTjAAJW4jRowQyqxevZq5ubkxMzMz5u3tzc6ePStewGpkyMfOmGEfvyEfe01iyJ+TIR87Y4Z9/Lpw7GqbizYuLg537tyBXC7Ha6+9Bi8vL0gkEnVsmhBCCCGEVIHaEjxCCCGEEKIbVOpkERcXh23btiktO3r0KN5++234+Phg5cqVKgVHCCGEEEKqTqUavB49esDS0lKYRDchIQGtWrVC3bp14eLigosXL+L777/HuHHj1BUvIYQQQgipgEo1eFeuXEGnTp2E5z///DOMjY1x+fJlnDt3Dh9++CHWrVuncpCEEEIIIaTyVErw0tPTlaaMOXToEN59913Y29sDAN59912lbsKEEEIIIUTzVErwnJ2dcfPmTQBAUlISYmNj0aNHD2F9VlYWjIxU2gUhhBBCCKkilQY67tu3L1avXo28vDycO3cOUqkUH3zwgbD+ypUraNy4scpBEkIIIYSQylMpwVu8eDGePn2KX375BXZ2dggPD4ejoyMAICMjA7t27UJQUJBaAiWEEEIIIZWjsXHw5HI5MjMzYWlpCVNTU03sghBCCCGElIIGOiaEEEII0TMqXaIFgBcvXmDbtm24d+8eXrx4gVfzRYlEgo0bN6q6G0IIIYQQUkkqJXhHjx7Fhx9+iOzsbNjY2KB27dolytB8tIQQQggh2qXSJdrWrVsjPz8fv/32Gzw9PdUZFyGEEEIIqSaVBqm7e/cupkyZQskdIYQQQogOUSnB8/DwQGZmprpiIYQQQgghaqBSgrd48WJ89913uH//vprCIYQQQgghqlKpk0VkZCTq1auHFi1a4N1330WDBg1gbGysVEYikWDlypUqBUkIIYQQQipPpU4WlZlnViKRQCaTVXcXRE3kcjmePHkCa2tr6tlMDApjDJmZmXBxcaG5sXUUnZ+IodLk+UmlGjy5XK6uOIiGPXnyBA0aNBA7DEJE8/DhQ9SvX1/sMEgp6PxEDJ0mzk8qD3RMagZra2sA/EtkY2MjcjSEaE9GRgYaNGgg/A3omm+++QYhISGYOnUqwsLCyiy3c+dOzJ07F/fv34eHhweWLFmC3r17C+sZY5g/fz5+/PFHpKWl4a233sL3338PDw8PlWNcu3Ytli1bhuTkZLRt2xarV6+Gt7d3iXKMMfTu3RtHjhzBnj17EBgYWKnt0/mJGCpNnp/UkuAlJCTg8OHDePDgAQCgYcOG6NWrF9zd3dWxeaIGisseNjY2dAIlBkkXL/1duHAB69evR5s2bcotd+bMGQwePBihoaF47733sHXrVgQGBuLSpUto3bo1AGDp0qVYtWoVNm/eDHd3d8ydOxf+/v64ceMGzM3Nqx1jREQEgoODsW7dOvj4+CAsLAz+/v64desWHBwclMqGhYVV632m8xMxdBo5PzEVBQcHM2NjYyaRSJRuxsbG7LPPPlN189X26NEjNnToUFanTh1mbm7OWrduzS5cuFDua06cOMFef/11ZmZmxl577TW2adOmEmXWrFnDGjZsyKRSKfP29mbnzp1TS7w7duxgzZo1Y1KplLVu3ZodPHiwzLLjx49nANiKFSsqvf309HQGgKWnp6shWkJqDl397mdmZjIPDw927Ngx1qVLFzZ16tQyyw4cOJAFBAQoLfPx8WHjx49njDEml8uZk5MTW7ZsmbA+LS2NSaVStm3bNmFZYmIiGzBgALO1tWW1a9dmffr0YQkJCeXG6e3tzYKCgoTnMpmMubi4sNDQUKVyly9fZq6uriwpKYkBYHv27KngHSimq58RIZqmye++Si36li9fjhUrVqBfv36IiYlBWloa0tLSEBMTgw8//BArVqzAihUrVM9Cq+jFixd46623YGpqisOHD+PGjRtYvnx5qVOpKSQkJCAgIADdunVDXFwcpk2bhjFjxuDo0aNCGcUv2fnz5+PSpUto27Yt/P39kZqaqlK8il/no0ePxuXLlxEYGIjAwEBcv369RNk9e/bg7NmzcHFxUWmfhBBxBQUFISAgAH5+fhWWjYmJKVHO398fMTExAPj5Kzk5WamMra0tfHx8hDKFhYXw9/eHtbU1oqOjcfr0aVhZWaFnz54oKCgodb8FBQWIjY1V2q6RkRH8/PyE7QJATk4OhgwZgrVr18LJyanC48nPz0dGRobSjRCiZqpkh82aNWN9+/Ytc33fvn1Zs2bNVNlFtcycOZN16tSpSq+ZMWMGa9WqldKyQYMGMX9/f+F5ZX7Jvnjxgo0ePZrZ29sza2tr1q1bNxYXF1fuviv6da7w6NEj5urqyq5fv84aNmxINXiEVIIufve3bdvGWrduzXJzcxljrMIaPFNTU7Z161alZWvXrmUODg6MMcZOnz7NALAnT54olRkwYAAbOHAgY4yxX375hTVr1ozJ5XJhfX5+PrOwsGBHjx4tdb+PHz9mANiZM2eUln/++efM29tbeD5u3Dg2evRo4TkqqMGbP38+A1DipkufESHaoMnzk0pt8O7fv4+pU6eWud7f3x9HjhxRZRfVsn//fvj7+2PAgAE4efIkXF1d8emnn2Ls2LFlvqasX8jTpk0DUPxLNiQkRFhf2i/ZAQMGwMLCAocPH4atrS3Wr1+P7t274/bt26hTp06Z+w4ODi6x77179wrP5XI5hg0bhs8//xytWrWq8D3Iz89Hfn6+8Lyyv5BlMhkKCwsrVdaQmJmZ0RAbasQYw927d1G/fn1YWFiIHY5WPXz4EFOnTsWxY8dUahtXVVeuXMHdu3dLNObOy8tDfHw8oqOj0atXL2H5+vXr0a1btwq3u3//fhw/fhyXL1+udCwhISFK5zxFQ/OK0PmpakxNTUuMTUtUl12QjQJZAWpblH1VUBeolOA5ODjgypUrZa6/cuUK6tWrp8ouquXevXv4/vvvERwcjNmzZ+PChQuYMmUKzMzMMGLEiFJfk5ycDEdHR6Vljo6OyMjIQG5uLl68eAGZTFZqmX/++QcA8Ndff+H8+fNITU2FVCoFAHz77bfYu3cvdu3ahXHjxlVp38nJycLzJUuWwMTEBFOmTKnUexAaGoqFCxdWqizA/+EmJycjLS2t0q8xJEZGRnB3d4eZmZnYodR4+fn56NevHw4dOgQXFxdcunSpxPdfn8XGxiI1NRXt27cXlslkMpw6dQpr1qxBfn5+iX/KTk5OSElJUVqWkpIiXA5V3KekpMDZ2VmpTLt27QAAWVlZ8PLywpYtW0rEVK9ePZiZmSEuLk5Y5ujoCKlUCmNj43L3ffz4ccTHx8POzk6pTP/+/dG5c2dERUWV2J9UKhXOkZVB56fqs7Ozg5OTk052MqqJbv97Gz4bfJCWl4bven+HiW9MFDukMqmU4A0YMAArV65Eo0aNMHnyZNSqVQsAkJ2djTVr1mDDhg1CDZg2yeVydOjQAV9//TUA4PXXX8f169exbt26MhM8dbhy5QqysrJQt25dpeW5ubmIj49HYmIiWrZsKSyfPXs2Zs+eXeF2Y2NjsXLlSly6dKnSf6RV/YWsOHk6ODjA0tKSTgYvUQzCmpSUBDc3N3pvVDRt2jQcOnQIAB//bP369Zg3b57IUWlP9+7dce3aNaVlo0aNQvPmzTFz5sxSa1x8fX0RGRmpdD49duwYfH19AQDu7u5wcnJCZGSkkNBlZGTg3LlzmDiR/wNq3749IiIi4ODgUGZP1SZNmpRY5uXlhcjISGHIE7lcjsjISEyaNAkAMGvWLIwZM0bpNZ6enlixYgXef//9it+QSqDzU9UxxpCTkyO0EX858SfVt/zMcqTlpQEAPj30Kfq37A+HWg7lv0gkKiV4X375JeLi4jB79mzMmzdPaPj/5MkTFBUVoVu3bli0aJFaAq0KZ2dnpUQKAFq0aIHdu3eX+ZqyfiHb2NjAwsICxsbGFf6SzcrKgrOzc6m/WO3s7GBnZ6f0C1lxybaiX+fR0dFITU2Fm5ubsF4mk+Gzzz5DWFhYqXMBV+UXskwmE06eryanhKtXr57wvTY1NRU7nBorMjIS69atAwAMHjwY27Ztw86dOw0qwbO2thaGNlGoVasW6tatKywfPnw4XF1dERoaCgCYOnUqunTpguXLlyMgIADbt2/HxYsX8cMPPwDgQyxMmzYNixcvhoeHhzBMiouLi5CYDR06FMuWLUPfvn2xaNEi1K9fHw8ePMBvv/2GGTNmlDnIanBwMEaMGIEOHTrA29sbYWFhyM7OxqhRowDw81dpHSvc3NzUMlQWnZ+qT9H8ITU1FQ4ODnS5VkUn75/ED5d+UFp28clF9PboXcYrxKVSgmdpaYnIyEjs27cPhw4dQmJiIgCgZ8+e6N27N95//31Rfmm99dZbuHXrltKy27dvo2HDhmW+xtfXV6hVUHj5F7KZmVmFv2Tbt2+P5ORkmJiYoFGjRqXup7RfyBX9Oh82bFip7QOHDRsmnGRVoWjTYmlpqfK29JXi0qxMJqMETwWKhOXTTz/F7NmzsW3bNty8eRO5ubkG1xavPImJiUptPjt27IitW7dizpw5mD17Njw8PLB3716lRHHGjBnIzs7GuHHjkJaWhk6dOuHIkSNCOz9LS0ucOnUKM2fORL9+/ZCZmQlXV1d079693LHnBg0ahKdPn2LevHlITk5Gu3btcOTIEa1dVqfzk2oU71thYSEleCqac2IOAMDb1RsNbBpg983d+OfZPzqb4Kk8Dp4uOn/+PDMxMWFfffUVu3PnDtuyZQuztLRkv/76q1Bm1qxZbNiwYcLze/fuMUtLS/b555+zmzdvsrVr1zJjY2N25MgRocz27duZVCpl4eHh7MaNG2zcuHHMzs6OJScnM8b4WFSdOnVibdu2ZUePHmUJCQns9OnTbPbs2eWOwXf69GlmYmLCvv32W3bz5k02f/58Zmpqyq5du1bma9TZizY3N5fduHFD6NFHSqL3SHWXL19mAJixsTF78OABk8vlzN7engFg58+f19h+dbEXLVFG5yfNofdPPZ5lP2NGC40YFoDdfnabzT0+l2EB2Oh9oyt+cTl0thetwvPnz/Hnn38Klwrd3d3xzjvviFad/sYbb2DPnj0ICQnBokWL4O7ujrCwMAwdOlQok5SUJNQ4AjzmgwcPYvr06Vi5ciXq16+PDRs2wN/fXyhT0S9ZiUSCQ4cO4YsvvsCoUaPw9OlTODk54e233y73125lfp0TUtP99NNPAIAPP/xQaG7g6emJEydO4O+//8Ybb7whZniEEFKmw3cPQ87kaOvYFh51PeDp4AkAiEuOEzewcqic4C1YsABLlixRGpID4Je0ZsyYIUobPAB477338N5775W5Pjw8vMSyrl27VtjVf9KkScIl2dJYW1tj1apVWLVqVaVjBXiHlQEDBlS6fGnt7gjRVUVFRYiIiAAApY5OLVu2xIkTJ3Djxg2xQiOEkApdfHIRAPCO+zsAAC8XLwDA1ZSryC/Kh9Sk8r3CtUWlgb2+/PJLLFq0CH5+fjh8+DDi4+MRHx+PQ4cOwc/PD1999RW+/PJLdcVKSAkjR44U2kTev38fEomk3JsisT9x4gR69+6NunXrwtLSEi1btsRnn32Gx48fi3cweuz3338XGnq/3J5UMabj33//LVZohGhcTEwMjI2NERAQoLT81XOWtbU1WrVqhaCgINy5c6dK2yKadec5/zya2zcHALjbuaOeZT0UygtxKemSmKGVSaUEb926dXj//ffx+++/w9/fH+7u7nB3d0fPnj1x4MAB9O7dG99//726YiWkXA0aNEBSUpJw++yzz9CqVSulZYMGDcL69evh5+cHJycn7N69Gzdu3MC6deuQnp6O5cuXi30YemnlypUA+HAgL3dSUSR4VINH9NnGjRsxefJknDp1Ck+ePCmx/s8//0RSUhKuXLmCr7/+Gjdv3kTbtm0RGRlZ5W0Rzbj9720AQNO6TQHwJlmKWrxrqdfKfJ2YVLpEm56ejp49e5a5vnfv3qUOGUKIJhgbGysN12BlZQUTExOlZY8ePcKUKVMwZcoUpXmSGzVqhLfffpsGUtWA2NhYnDx5EiYmJpg8ebLSOsVwRvfv30dWVhasrKzECJEQjcnKykJERAQuXryI5ORkhIeHlxj/tG7dusJ5qnHjxnj//ffRvXt3jB49GvHx8ULv18psi6hfoawQCS8SAAAedTyE5S3sW+DI3SO48bTsH6iZ+ZmwMrMSZUQRlWrw3nrrLZw7d67M9efOncNbb72lyi6ISBhjyM7O1vqNMabR49q5cycKCgowY8aMUte/Oho/UZ3isvjAgQPh6uqqtM7e3h4ODnyQ0Js3b2o7NFJDMcaQXZCt9Vt1zk87duxA8+bN0axZM3z88cf46aefKtyOkZERpk6digcPHiA2NlalbRHVJaQlQMZksDS1hIu1i7Bc0dHi5Rq8OcfnQLJQgqWnl2L3jd2wW2KHwbsHaz1mQMUavHXr1qFnz56YPn06goKC0LhxYwB8qrA1a9bg7NmzosxFS1SXk5MjSm1KVlaWMCOKJty5cwc2NjY0qruWyGQy7Nq1CwDw8ccfl1qmZcuWSE1NxY0bN6gnLamUnMIcWIWKcH4KyUIts6qdnzZu3Ch893v27In09HScPHkSXbt2Lfd1zZvztl7379+Ht7e3Stsiqnn58uzLNXFtHNsAAK4kXwFjDH8//RtfRX8FAJj550yhXMTfEVjeYzlcbZR/4GqaSjV4bdq0waNHj7Bq1So0a9ZMmD2hWbNmWL16NRITE9GmTRvY2NgIN1tbW3XFTkiVMcZomiMtOnXqFJKTk1G7dm1079691DLU0YLoq1u3buH8+fMYPJjX4JiYmGDQoEHYuHFjha9V1MwpzleqbIuo5s6/vIPFy5dnAaBlvZYwkhjh39x/kZSVhIO3D5a5jT/i/9BojKVRqQavf//+9M9ST1laWiIrK0uU/WpS06ZNkZ6ejqSkJKrF04Jt27YB4OcKxWwgr6KOFqSqLE0tkRUiwvnJtGrnp40bN6KoqEiYxhPgiZtUKsWaNWvKfa2iyYJiureKtkWVJ5qTkMbb3zWu3VhpuYWpBZrVbYabz27iaspVHLrLZ8OqY1EHz3OfK5Utr52epqiU4JU2lhzRDxKJRKOXSsXy4YcfYtasWVi6dKlSJwuFtLQ0aoenJnl5ecL8zx999FGZ5RQdLagGj1SWRCKp8qVSbSsqKsLPP/+M5cuXo0ePHkrrAgMDsW3btjI7KcrlcqxatQru7u54/fXXK7WtCRMmaOxYDN39tPsAgEZ2jUqsa+PYBjef3cQf8X/g1INTAIBzY84hOSsZPq4+WHdxHaYcmYL4F/FajJhTy0wWhIgpPT0dcXFxSsvKmkWlQYMGWLFiBSZNmoSMjAwMHz4cjRo1wqNHj/Dzzz/DysqKhkpRkx9//BHPnz9HgwYN0KVLlzLLKWrw7t+/j5ycHJpzlOiFAwcO4MWLFxg9enSJ2rX+/ftj48aNQoL377//Ijk5GTk5Obh+/TrCwsJw/vx5HDx4EMbGxti7d2+F26IET3MUNXjudu4l1vm4+iDi7wisOMsrDGqZ1kKTOk3QpA6fd/61Oq8BAO69uKelaIup1AYvMjISy5YtU1r2008/wc3NDY6Ojpg+fTpkMplKARJSkaioKLz++utKt4ULF5ZZ/tNPP8Uff/yBx48f44MPPkDz5s0xZswY2NjY4P/+7/+0GLn+evDgAebM4RNzh4SEwMSk7N+S9vb2qFOnDgDg7t27WomPEE3buHEj/Pz8Sr102r9/f1y8eBEZGRkAAD8/Pzg7O8PT0xOzZs1CixYtcPXqVXTr1q3S27p69apmD8hAMcaEIVJKq8Eb4jkENlIb4fkkb+WZrhSvSUxPhLapVIO3YMECNGzYUHh+7do1jB8/Hm3atEGTJk2watUqODk5YebMmeVshZDqCw8PL7epwIIFC0pd7ufnpzSjAlGfW7duYcCAAcjIyICvry/Gjh1b4WuaNm2Ks2fP4vbt22jTpo0WoiREs37//fcy13l7ewudKCozzEllt0XULykrCdmF2TCSGKGhXcMS6x2tHPHnsD+x88ZOFMgKsLCrcuVCPct6AIC0vDQUyYtgYqS9C6cq1eDdvHkTHTp0EJ7/8ssvsLGxQXR0NCIiIjB27Fj8/PPPKgdJCNF99+7dw9SpU9G2bVtcu3YN9vb2+OWXX8qtvVPw8OC9027fvq3pMAkhpNLOPeJj/bZ2aA1zE/NSy7zh+gaWvrsUYT3DSsxJW9uiNgCAgeFF7gvNBvsKlRK87Oxs2NgUV00eOXIEPXv2FNrQvPHGG3jw4IFqERJCdN7Bgwfx+uuvY9WqVcjPz4e/vz/i4uLw2muvVer1TZvy6X/Kmn+TEELEcPbRWQDAm65vVuv1JkYmsDO3AwD8m/uvusKqFJUSvAYNGuDChQsAeNuZ69evK/Xwef78OaRSaVkvJ4TogYMHD+L9999HRkYG3nzzTezevRuHDx8uMWtFeagGjxCii84+/i/Bq1+9BA8A7C3tAQDPcp6pJabKUuli8NChQ7Fo0SI8fvwYf//9N2rXro2+ffsK62NjY4Vf5oQQ/VNUVITg4GAwxjBs2DBs2LChzPHuyqOo6UtISFB3iIQQUi0Xn1wUhj5RJcGra1EXd3EX/+ZotwZPpQTviy++QEFBAQ4dOgQ3NzeEh4cLY4g9f/4cUVFRmDp1qjriJFpADXXLRu9N6X766Sfcvn0b9vb2WLNmTbWSO6B4MNekpCTk5ubCwsJCnWESPUB/g9VD71v1MMbQL6IfAMBGaoNm9s2qva26lnzYLm1folUpwTMxMcFXX32Fr776qsS6OnXqIDk5WZXNEy0xNTUFwOefpX+spSsoKAAAGBsbixyJ7sjJyRF6Kc+dO1epPW5V1alTB9bW1sjMzMT9+/fRokULNUVJajo6P6kmJycHQPH7SCrn4pOLeJjxEACwwn8FjCTVb9FWIy/RviwpKQmpqalo0qSJXs6AoM+MjY1hZ2eH1NRUAHy6MJqCrphcLsfTp09haWlZqR6hhmLlypVISkpCo0aNMH78eJW2JZFI0LhxY1y5cgUJCQmU4BEBnZ+qhzGGnJwcpKamws7Ojn6cVkHY2TBMPzodAPBxm4/xyeufqLS9uhb/1eDVpEu0ALBv3z7MnDlT6P127NgxvPPOO3j27BneffddzJs3Dx988IHKgRLNcnJyAgDhJEqUGRkZwc3Njf6x/OfFixf45ptvAACLFy9WS2cqd3d3IcEj5GV0fqo+Ozs74f0j5Yt9EovdN3cj9K9QYdlQz6Eqb7e2OR8q5UWedodJUSnB+/3339GvXz/4+vpiyJAhSoPK2tvbw9XVFeHh4ZTg1QASiQTOzs5wcHBAYWGh2OHoHDMzMxgZqdTpXK/88ssvyMjIQKtWrTB48GC1bFPRDu/ePe1P6UN0G52fqsfU1JRq7iop/nk8OvzYQWlZ49qN0dmts8rbtjXnM5Bk5GeovK2qUCnBW7RoEd5++22cOHEC//77b4lZA3x9fbF+/XpVdkG0zNjYmE4IpFyMMaxbtw4AMHHiRLUlvo0bNwZAPWlJ2ej8RDQhqyAL3hu8hed9mvXBuoB1sDO3g4Wp6u0+FVOZaTvBU+nMfP36dQwcOLDM9Y6OjlSlToieiYyMxM2bN2FlZYWPP/5YbdtV1OBRgkcI0ZZHGY/Qcm1LPM99DgD45YNfsO+jfXC2dlZLcgcUJ3jp+elq2V5lqZTgWVpaIjs7u8z19+7dQ926dVXZBSFEx6xevRoAMGLEiFInP6+uly/R0tAOhBBtWHl2pdBbtrdHbwzxHKL2fdhKxblEq1KC161bN2zevBlFRUUl1iUnJ+PHH39UmtmCEFKzJSQkCBOfT5o0Sa3bbtSoEQAgIyMDL15otzEyIcTwMMaw79Y+AMCG9zfg4JCDKg2HUhahBi+vBtXgffXVV3j06BHeeOMNrF+/HhKJBEePHsWcOXPg6ekJuVyO+fPnqytWQojI1q5dC8YYevTogebNm6t125aWlnB2dgZAc9ISQjTvn2f/4M7zOzAzNsPAVmU3N1OVWJ0sVErwmjVrhr/++gt169bF3LlzwRjDsmXL8PXXX8PT0xOnT59Gw4YN1RUrIUREL168wA8//AAAmDx5skb20bp1awDAtWvXNLJ9QghR+O3mbwCA7u7dYS211th+Xu5koc3mJyrXRbZq1Qp//vknnj17hnPnziEmJgYpKSk4cuQITp06hWbNqj+9ByFEd6xZswaZmZlo3bo1evfurZF9tGnTBgBw5coVjWyfEEIAQM7k2HB5AwBotPYOKG6Dx8CQVZCl0X29rFoJXkFBAXbt2oUlS5bghx9+wJMnT1C7dm288cYb8PT0xKZNm9CoUSNMmDCBGksTogcePXqEpUuXAgBmz56tsTEB27ZtC0C/E7zvv/8ebdq0gY2NDWxsbODr64vDhw+X+5qdO3eiefPmMDc3h6enJw4dOqS0njGGefPmwdnZGRYWFvDz81PbZe61a9eiUaNGMDc3h4+PD86fP19qOcYYevXqBYlEgr1796pl38SwXU66jPe2vof3tr6Hu8/vqnXbB28fxP20+7Azt9N4gmduYg4TIz4qnTYv01b5LP3kyRO0bt0agwYNQkhICCZMmIAmTZogMjIS0dHRaNasGWbNmgU3Nzfs3LkTt2/f1kTchBAtmjp1KrKystCxY0cMGjRIY/tRJHhXr17V2x+H9evXxzfffIPY2FhcvHgR77zzDvr27Yu///671PJnzpzB4MGDMXr0aFy+fBmBgYEIDAzE9evXhTJLly7FqlWrsG7dOpw7dw61atWCv78/8vLyVIo1IiICwcHBmD9/Pi5duoS2bdvC39+/1OGvwsLCaKYXohaMMXwR+QU6/NgBB+8cxME7B+H3sx/S8tLUsv1CWSH+79j/AQDGvD4GlqaWatluWSQSiThDpbAqGjlyJDMxMWGzZs1iBw8eZGvWrGEODg6scePGzMbGhvn6+rKoqKiqbpZoWHp6OgPA0tPTxQ6F1DCHDh1iAJiJiQm7evWqRveVn5/PTE1NGQCWkJCglm3WhO9+7dq12YYNG0pdN3DgQBYQEKC0zMfHh40fP54xxphcLmdOTk5s2bJlwvq0tDQmlUrZtm3bhGWJiYlswIABzNbWltWuXZv16dOnwvfY29ubBQUFCc9lMhlzcXFhoaGhSuUuX77MXF1dWVJSEgPA9uzZU5nDFtSEz4hoz//O/I9hARgWgPX4pQdzXObIsACsf0R/JpfLVd5+5L1IhgVgdZbUYWm5aWqIuGLuYe4MC8BiHsYoLdfkd7/KNXjHjh3DqFGjEBoait69eyMoKAjfffcdEhIS8Pbbb+Ovv/5Cly5d1JqEEkLEUVRUhOnT+aTbU6ZMgaenp0b3Z2ZmhpYtWwLQ78u0CjKZDNu3b0d2djZ8fX1LLRMTEwM/Pz+lZf7+/oiJiQHAh65JTk5WKmNrawsfHx+hTGFhIfz9/WFtbY3o6GicPn0aVlZW6NmzJwoKCkrdb0FBAWJjY5W2a2RkBD8/P2G7AJCTk4MhQ4Zg7dq1lZ7zND8/HxkZGUo3QgDg6N2jQu3a/3r8D0c/PooDQw7A1MgUu2/uxsKTC1Wu3T95/yQAoFeTXkIPV00TY6iUKid4KSkpePPNN5WWKZ5/8sknNF8nIXokPDwct27dgr29vdaGPHr5Mq2+unbtGqysrCCVSjFhwgTs2bNHSGxflZycDEdHR6Vljo6OSE5OFtYrlpVVJiIiAnK5HBs2bICnpydatGiBTZs2ITExEVFRUaXu99mzZ5DJZOVuFwCmT5+Ojh07om/fvpU+/tDQUNja2gq3Bg0aVPq1RH/denYLg3YNgpzJ8Um7TzDtzWkAgA4uHbDCfwUAYOHJhZh4cCLkTF7t/UQ9iAIAdG3UVcWIK0+MoVKqnI3JZDKYm5srLVM8V+eo9oQQceXm5grzS3/xxRewsbHRyn4NoaNFs2bNEBcXh3PnzmHixIkYMWIEbty4obH9XblyBXfv3oW1tTWsrKxgZWWFOnXqIC8vD/Hx8YiOjhaWW1lZYcuWLZXa7v79+3H8+HGEhYVVKZ6QkBCkp6cLt4cPH1bjqIg+eZr9FH2290F6fjreavAWvgv4TqlN56dvfIrQ7qGQQIL1sevR89eeuPjkIuKS43D+8flK1+rlFubi7KOzALSb4IkxH61JdV50//59XLp0SXiens6rHO/cuQM7O7sS5du3b1+96AgholmzZg0eP34MNzc3TJw4UWv7NYShUszMzNCkSRMAgJeXFy5cuICVK1di/fr1Jco6OTkhJSVFaVlKSopwOVRxn5KSIgwUrXjerl07AEBWVha8vLxKTdzq1asHMzMzxMXFCcscHR0hlUphbGxc7r6PHz+O+Pj4Euf9/v37o3PnzmXWDkqlUkil0lLXEcNzIuEEhu8djkcZj9DApgF2D9wNqYny90MikWBWp1loaNsQo/ePxrF7x3Ds3jFhfXf37pjXZR7ebvi2sOxayjWkZqfiHfd3hGRxzz97UCArgIu1C16r/Zp2DhDizEdbrQRv7ty5mDt3bonln376qdJzxhgkEglkMln1oiOEiCItLQ2hoaEAgEWLFmn1n7GiBi8+Ph5ZWVmwsrLS2r7FIpfLkZ+fX+o6X19fREZGYtq0acKyY8eOCW323N3d4eTkhMjISCGhy8jIEGoHAf4jOyIiAg4ODmXWxCoSzpd5eXkhMjISgYGBQpyRkZHCNHWzZs3CmDFjlF7j6emJFStW4P3336/08RPDte7iOnx68FMwMDSp0wQHBh+Ao5VjmeUHew5GG8c2CP4jGFH3oyCBBPmyfEQmRCIyIRK/fvArBnsOxlenvsLCkwshYzK83/R97Bm0B+n56ZhyeAoA4GPPj7Xa61uM+WirnOBt2rRJE3EQQnTIokWL8OLFC7Rq1Qoff/yxVvddr149ODs7IykpCdeuXSuz80FNFRISgl69esHNzQ2ZmZnYunUroqKicPToUQDA8OHD4erqKiTYU6dORZcuXbB8+XIEBARg+/btuHjxojCriEQiwbRp07B48WJ4eHjA3d0dc+fOhYuLi5CYDR06FMuWLUPfvn2xaNEi1K9fHw8ePMBvv/2GGTNmoH79+qXGGhwcjBEjRqBDhw7w9vZGWFgYsrOzMWrUKAC89rC0jhVubm5wd3dX91tH9MzKsysx7eg0AMDIdiOxutdqWJlV/IOulUMrHP34qPD8ctJl9NvRD/fT7mPKkSlYeW4lLjy5IKz//fbv6LmlJwplhfg391+0qtcKX77zpdqPpzxidLKocoI3YsQITcRBCNERJ0+eFNpULVu2DMbGxlqPoW3btkhKSsLVq1f1LsFLTU3F8OHDkZSUBFtbW7Rp0wZHjx7Fu+++CwBITExU6qzWsWNHbN26FXPmzMHs2bPh4eGBvXv3CtO6AcCMGTOQnZ2NcePGIS0tDZ06dcKRI0eE9tGWlpY4deoUZs6ciX79+iEzMxOurq7o3r17uW0rBw0ahKdPn2LevHlITk5Gu3btcOTIkRIdLwipqvUX1wvJ3cy3ZvL2ddWsUXvd+XXcnnQb3hu8EZcch+e5zwEAC7osQEp2Cr6/+D3+vPcnAEACCVb2XAkzYzO1HEdliVGDV+Vx8EjNRONMkcp48eIFa9iwIQPAxowZI1ocn332GQPAgoODVd4Wffd1H31GhuV04mkm/VLKsADsi8gv1DK2HWOMZeZnssUnF7OGKxqysfvHMrlczvKL8lnfbX1Z7W9qs/4R/dnJ+yfVsq+qWnNuDcMCsA93fKi0XJPf/Wq1wSOE6B+5XI5hw4bhwYMHaNy4Mf73v/+JFouLiwsAICkpSbQYCCHq9yTzCfpF9EO+LB99mvXBl92+VFtbOCszK3zx9hf44u0vhGVmxmbY+9FetWxfFTViHDxCiH5as2YNDhw4AKlUip07d8La2lq0WBS9QSnBI0R/FMgK8NGuj5CSnQJPB09s7bfVYKa3qxHj4BFC9M+///4rDGT8v//9T/ShjSjBI0S/3Hh6A13CuyA6MRrWZtbYPXA3apnVEjssrRFjmBSDSPC++eYboadZeXbu3InmzZvD3Nwcnp6eOHTokNJ6xhjmzZsHZ2dnWFhYwM/PD3fu3FFLjGvXrkWjRo1gbm4OHx8fnD9/vtRyjDH06tULEokEe/fuVcu+CVm0aBHS0tLg6emJ8ePHix2O0DPz5RkTCCE1042nN+CzwQdnH52FjdQGOwbsgEddD7HD0ioxOlnofYJ34cIFrF+/Xhg8tSxnzpzB4MGDMXr0aFy+fBmBgYEIDAzE9evXhTJLly7FqlWrsG7dOpw7dw61atWCv78/8vLyVIoxIiICwcHBmD9/Pi5duoS2bdvC398fqampJcqGhYUZTJU20Y5bt27hu+++A8Br78ToNfsqRQ1eeno6cnNzRY6GEFJdmfmZ6L+jP7IKstCxQUdcn3gdPZv0FDssrRNjJgu97kWbmZnJPDw82LFjx1iXLl3Y1KlTyyw7cOBAFhAQoLTMx8eHjR8/njHGmFwuZ05OTmzZsmXC+rS0NCaVStm2bduEZYmJiWzAgAHM1taW1a5dm/Xp04clJCSUG6e3tzcLCgoSnstkMubi4sJCQ0OVyl2+fJm5urqypKQkBoDt2bOngnegGPVSI2V5//33GQD23nvviR2KQC6XMwsLCwaAxcfHq7Qt+u7rPvqM9JNcLmcDdw5kWADmutyVpWSliB2SaFKzUhkWgGEBWJGsSFiuye++XtfgBQUFISAgAH5+fhWWjYmJKVHO398fMTExAICEhAQkJycrlbG1tYWPj49QprCwEP7+/rC2tkZ0dDROnz4NKysr9OzZEwUFBaXut6CgALGxsUrbNTIygp+fn7BdAMjJycGQIUOwdu3aUgcWJaQ6IiMj8fvvv8PExATLli0TOxyBRCKhdniE1HCrz6/Gjr93wMTIBDsH7IRDLQexQxKNogYPADILMrWyT70dJmX79u24dOkSLly4UHFh8LY+rw7e6ejoKLQBUtyXVyYiIgJyuRwbNmwQLqNu2rQJdnZ2iIqKQo8ePUrs99mzZ5DJZKVu959//hGeT58+HR07dkTfvn0rdTz5+flKUx9lZGixWpjUCDKZDMHBwQCAiRMnonnz5iJHpMzJyQn37t2jBI+QGijmYQw+++MzAMC3734L3wb6NWB5VUlNpDA3MUdeUR5e5L6AnbmdxveplzV4Dx8+xNSpU7FlyxZhJHdtuHLlCu7evQtra2tYWVnBysoKderUQV5eHuLj4xEdHS0st7KyKnXi79Ls378fx48fF2YXqIzQ0FDY2toKtwYNGlTzqIi+Wr9+Pa5evQo7OzuhB60uoRo8Qmqm9Lx0DNw1EEXyIgxsNRBTfKaIHZJOsLe0BwD8m/uvVvanlzV4sbGxSE1NVRrqQSaT4dSpU1izZg3y8/NLNCR3cnJCSkqK0rKUlBThcqjiPiUlRfjHo3iumOA7KysLXl5epSZu9erVg5mZGeLi4oRljo6OkEqlMDY2Lnffx48fR3x8POzs7JTK9O/fH507d0ZUVFSJ/YWEhAi1MwCvwaMkjyjcu3cPs2bNAgB8+eWXqFu3rsgRlaT4O6OetITULAuiFuBRxiM0qdMEG97fQB0D/2NvaY9HGY/wLOeZVvanlwle9+7dce3aNaVlo0aNQvPmzTFz5sxSewn6+voiMjJSaSiVY8eOCfNguru7w8nJCZGRkUJCl5GRgXPnzmHixIkAgPbt2yMiIgIODg5lzu/YpEmTEsu8vLwQGRkpTAwul8sRGRmJSZMmAQBmzZqFMWPGKL3G09MTK1aswPvvv1/qfqRSKaRSaanriGHLzs5GYGAgMjMz4evrK3x/dQ3V4BFS81xPvY7V51cDANb2XgtrqXgDpusaRQ0eJXgqsLa2VpqIGwBq1aqFunXrCsuHDx8OV1dXhIaGAgCmTp2KLl26YPny5QgICMD27dtx8eJF/PDDDwAgjKO3ePFieHh4wN3dHXPnzoWLi4uQmA0dOhTLli1D3759sWjRItSvXx8PHjzAb7/9hhkzZqB+/fqlxhscHIwRI0agQ4cO8Pb2RlhYGLKzszFq1CgAvPawtI4Vbm5ucHd3V8t7RgwDYwyjRo3CtWvX4OjoiJ07d+rEsCiloQSPkJpFzuSYcGACZEyGwOaB6PFayXbnhowSPC1JTEyEkVFxE8SOHTti69atmDNnDmbPng0PDw/s3btXKVGcMWMGsrOzMW7cOKSlpaFTp044cuSI0M7P0tISp06dwsyZM9GvXz9kZmbC1dUV3bt3L7NGDwAGDRqEp0+fYt68eUhOTka7du1w5MiREh0vCFHVkiVLsHPnTpiammL37t1wdXUVO6QyKX7UUIJHSM2w8dJGnH54GrVMa2FVz1Vih6Nz7C20m+BJGGNMK3siosrIyICtrS3S09PLTTaJ/jpy5Ah69+4NxhjWrVunEzNWlCcuLg6vv/46HBwcSrRRrQr67us++oxqvpSsFDRf2xxpeWlY4b8C096cJnZIOmdh1EIsOLkA473GY9176wBo9ruvl71oCSHKEhISMGTIEDDGMHbsWJ1P7oDiS7RPnz5FUVGRyNEQQsqSW5iLgbsGIi0vDe2d22OS9ySxQ9JJ2r5ESwkeIXouLy8PH374IV68eAFvb2+sXr1a7JAqpV69ejA2NgZjrNRp+wgh4iuSF2HIb0Nw6sEp2EhtsDlwM0yMDLb1V7nqWNQBoL1hUijBI0TPff3117h06RLs7e2xa9euGtO72sjICA4OfOR7GiqFEN3DGMPEAxOx95+9kBpLsf+j/Wjt0LriFxooxeDG6XnpWtkfJXiE6LF79+5h6dKlAIB169bVuLEQFR0tKMEjRPfMj5qPDZc3wEhihK39t6JLoy5ih6TTbM1tAQDp+ZTgEUJUNH36dOTn58PPzw/9+vUTO5wqowSPEN2068YufHnqSwDA9wHfo1+Lmnd+0TZb6X8JHtXgEUJUcejQIezfvx8mJiZYtWpVjRxNnhI8QnTP36l/Y+TekQCAz3w/wzivceIGVEO8XIOnjQFMKMEjRA/l5+dj6tSpAPgg3i1atBA5ouqhBI8Q3ZKel44PIj5AdmE23nF/B9/4fSN2SDWGogavSF6E3KJcje+PEjxC9FBYWBju3r0LJycnzJs3T+xwqo0SPEJ0h5zJMWzPMNx5fgdutm7Y3n879ZitAiszKxhJeNqljcu0lOARomeSkpKwePFiAHzmipo8cKxiLDxK8AgR3+JTi/H77d8hNZZi98DdqFerntgh1SgSiUSoxUvLS9P4/ijBI0TPzJ49G1lZWfDx8cHHH38sdjgqoRo8QnTD7hu7sSBqAQDeqaKDSwdxA6qhtNmTlhI8QvTIhQsXEB4eDgBYuXKl0nzLNZGqCV5OTg4+/fRTdYZEiMGJuh+FIb8NAQND0BtBGPX6KLFDqrG02ZO2Zp/9CSECxhimTJkCABg+fDh8fHxEjkh1igQvMzMTWVlZVX79iBEjsGXLFnWHRYjBuJJ8BX2390WBrAD9WvTDyp4rxQ6pRlPU4GXkZ2h8X5TgEaInfv75Z5w9exa1atVCaGio2OGohbW1NerWrQsAuHv3brllXx12ID8/H7/99pvGYiNE3yVlJiFgawAy8jPwdsO3saXfFhgbGYsdVo1Wy7QWACC7MFvj+6IEjxA9kJqaiuDgYADA3Llz4eLiInJE6tO8eXMAwD///FNmmb1798LFxUWYtQMA4uPjIZfLYWVlpfEYCdE3hbJC9N/RH48zH6O5fXPs+2gfzE3MxQ6rxqtl9l+CV0AJHiGkEqZNm4bnz5+jbdu2QqKnL5o1awYAuHXrVqnrHzx4gOHDhyM5ORkzZ87E8+fPlcp7eHhoJ1BC9Mi3Z75FzKMY2Eptse+jfcI8qkQ1Vmb8B2dWQdWbnFQVJXiE1HBHjx7Ftm3bYGRkhA0bNsDU1FTskNSqvBo8uVyO4cOHIzMzU1i2cOFCXLhwATdu3ACgewleaGgo3njjDVhbW8PBwQGBgYFlJq8v27lzJ5o3bw5zc3N4enri0KFDSusZY5g3bx6cnZ1hYWEBPz8/3LlzRy0xr127Fo0aNYK5uTl8fHxw/vz5UssxxtCrVy9IJBLs3btXLfsm2nf739tYeHIhAGB1r9VoWrepyBHpD7pESwiplNzcXKGX6JQpU9Chg/4NXaBI8G7evFli3fbt23Hq1CnUqlULkydPBgCsWrUK3t7emDNnDgCgSZMm2gu2Ek6ePImgoCCcPXsWx44dQ2FhIXr06IHs7LJP+GfOnMHgwYMxevRoXL58GYGBgQgMDMT169eFMkuXLsWqVauwbt06nDt3DrVq1YK/vz/y8vJUijciIgLBwcGYP38+Ll26hLZt28Lf3x+pqaklyoaFhdXIKfFIMcYYxh8Yj3xZPt5t/C4+blOzh1rSNYoaPG1cogUjBiE9PZ0BYOnp6WKHQtToiy++YABY/fr1WUZGhtjhaERCQgIDwExMTFhOTo7SuoCAAAaAzZs3j925c4cBKHH7+eefdfq7n5qaygCwkydPlllm4MCBLCAgQGmZj48PGz9+PGOMMblczpycnNiyZcuE9WlpaUwqlbJt27YJyxITE9mAAQOYra0tq127NuvTpw9LSEgoNz5vb28WFBQkPJfJZMzFxYWFhoYqlbt8+TJzdXVlSUlJDADbs2dPRYcuoPOT7tgQu4FhAZjFYgsW/zxe7HD0zqKoRQwLwMbtH8cY0+x3n2rwCKmhbt68KXQqWLVqFaytrUWOSDMaNmwIR0dHFBUV4fLly8Ly9PR0/PHHHwCAjz76CE2aNEHr1q1LvP7111/XWqzVkZ7Ox8OqU6dOmWViYmLg5+entMzf3x8xMTEAgISEBCQnJyuVsbW1hY+Pj1CmsLAQ/v7+sLa2RnR0NE6fPg0rKyv07NkTBQUFpe63oKAAsbGxSts1MjKCn5+fsF2Ajzc4ZMgQrF27Vhjapjz5+fnIyMhQuhHxJWcl4/+O/R8AYFG3RWhcu7HIEekfoZMFXaIlhJRGLpdjzJgxKCwsxPvvv4/AwECxQ9IYiUSCjh07AgBOnDghLN+6dSsKCwvRqlUrtGjRAgCwf/9+HD58GIcOHULDhg3x9ddfw83NTZS4K0Mul2PatGl46623Sk1OFZKTk+Ho6Ki0zNHRURgAWnFfXpmIiAjI5XJs2LABnp6eaNGiBTZt2oTExERERUWVut9nz55BJpOVu10AmD59Ojp27Ii+fftW6rhDQ0Nha2sr3Bo0aFCp1xHNmnpkKtLy0tDeuT2mvTlN7HD0EnWyIISU67vvvsOZM2dgbW2NtWvX6n27p549ewIADhw4AIAnRiEhIQCA0aNHC+Xc3d3Rs2dP9OrVC/fv3xfK6KqgoCBcv34d27dv1/i+rly5grt378La2hpWVlawsrJCnTp1kJeXh/j4eERHRwvLraysKj1A9P79+3H8+HGEhYVVOpaQkBCkp6cLt4cPH1bzqIi6HLh9ADv+3gFjiTE2vL8BJkYmYoekl7TZyYI+QUJqmAcPHgiJy5IlSwyi9iMgIAAAcPbsWfTu3RsZGRnCpc1+/fqJGVq1TZo0CQcOHMCpU6dQv379css6OTkhJSVFaVlKSopwOVRxn5KSAmdnZ6Uy7dq1AwBkZWXBy8ur1MStXr16MDMzQ1xcnLDM0dERUqkUxsbG5e77+PHjiI+Ph52dnVKZ/v37o3PnzqXWDkqlUkil0nKPmWhPZn4mJh6cCAAI9g3G68663ayhJqNx8AghpWKMYcKECcjKykLnzp0xfvx4sUPSCldXVwwePBgAcPjwYZw+fRoA4Ofnh4YNG4oZWpUxxjBp0iTs2bMHx48fh7u7e4Wv8fX1RWRkpNKyY8eOwdfXFwCvuXRyclIqk5GRgXPnzgll2rdvjzt37sDBwQFNmjRRutna2sLCwkJpmbW1NczMzODl5aW0XblcjsjISGG7s2bNwtWrVxEXFyfcAGDFihXYtGmTSu8V0Y4vjn+BRxmP0Lh2YyzoukDscPSaNi/RUi9aA0G91PTDL7/8wgAwqVTK/vnnH7HD0SqZTMbWrVvHXF1dmZubGzt+/DgrLCys8HW69t2fOHEis7W1ZVFRUSwpKUm4vdxDeNiwYWzWrFnC89OnTzMTExP27bffsps3b7L58+czU1NTdu3aNaHMN998w+zs7Ni+ffvY1atXWd++fZm7uzvLzc1ljDGWnZ3NPDw8WNeuXdmpU6fYvXv32IkTJ9jkyZPZw4cPy4x3+/btTCqVsvDwcHbjxg02btw4Zmdnx5KTk8t8DagXbY1xOvE0kyyQMCwAOxZ/TOxw9N6ZxDMMC8Aar2zMGNPsd58SPANBJ9CaLzU1ldWtW5cBYF999ZXY4YhGLpczmUxW6fK69t1HKUO5AGCbNm0SynTp0oWNGDFC6XU7duxgTZs2ZWZmZqxVq1bs4MGDSuvlcjmbO3cuc3R0ZFKplHXv3p3dunVLqUxSUhIbPnw4s7e3Z1KplDVu3JiNHTu2wvdm9erVzM3NjZmZmTFvb2929uzZCo+REjzdl5GXwRqvbMywAGzk3pFih2MQriZfZVgA5rjMkTGm2e++hLFXZugmeikjIwO2trZIT0+HjY2N2OGQahgyZAi2bduGtm3b4sKFC3o3Y4Wm0Hdf99FnJI4x+8dg4+WNaGjbEFcmXIGtua3YIem9ey/u4bVVr6GWaS1kzc7S6Hef2uARUgMcPHhQr6cjI4Ro175/9mHj5Y2QQIKfP/iZkjstUfSizSnMgabr1yjBI0THZWRkYMKECQCA4OBgvZyOjBCiPSlZKRj7+1gAwOcdP8fbDd8WOSLDoehkwcCQW5Sr0X1RgkeIjgsJCcGjR4/w2muvYeHChWKHQwipwRhjGPP7GDzNeYq2jm2xqNsisUMyKBamFsJjTfekpQSPEB0WHR2N7777DgDwww8/wNLSUuSICCE12Y+XfsSB2wdgZmyGX/v9CqkJjUeoTUYSI1ia8vO4psfCowSPEB2Vl5eHMWPGAOCzNbzzzjsiR0QIqcnuPr+L6UenAwBCu4eitUPZ0+MRzdHWWHiU4BGio7788kvcvn0bTk5OWLZsmdjhEEJqsCJ5ET7+7WPkFOagW6NuNNesiLQ1XRkleITooAsXLmDJkiUAgLVr16J27doiR0QIqcm+jv4a5x6fg63UFpsDN8NIQv/+xaKt6croEyZEx+Tm5mLYsGGQyWQYNGhQjZ1rlRCiGy48voBFJ3lniu8CvkMDW/2fv1qX0SVaQgxUSEgIbt26BWdnZ6xdu1bscAghNVh2QTY+3vMxZEyGQa0GYXDrwWKHZPAUl2gpwSPEgJw4cQIrV64EAGzcuBF169YVOSJCSE0249gM3P73NlytXfFdwHeQSCRih2TwrKXWACjBI8RgPH/+HMOHDwcAjBs3Dr169RI5IkJITXbk7hF8d5EPsxQeGI46FnVEjogAgLUZT/AyCzI1uh9K8AjRAYwxjBkzBo8ePYKHhweWL18udkiEkBrsRe4LjN4/GgAwxXsK/Br7iRwRURASvHxK8AjRez/88AP27NkDU1NTbNu2DVZWVmKHRAipwSYfnownmU/QtG5ThPqFih0OeYniEi3V4BGi527cuIHp0/ngo19//TW8vLxEjogQUpPtvrEbW65tgZHECD8H/izMnEB0A9XgEWIA8vLy8NFHHyE3Nxc9evRAcHCw2CERQmqwp9lPMfHgRADArLdmwae+j8gRkVdRDR4hBmDmzJm4du0a6tWrh82bN8PIiP4kCSHVN/nwZDzNeYrWDq0xr8s8scMhpbCV2gIA0vLSNLofvfxvEhoaijfeeAPW1tZwcHBAYGAgbt26VeHrdu7ciebNm8Pc3Byenp44dOiQ0nrGGObNmwdnZ2dYWFjAz88Pd+7cUUvMa9euRaNGjWBubg4fHx+cP3++1HKMMfTq1QsSiQR79+5Vy76JOA4ePIhVq1YBAMLDw+Hk5CRyRISQmmz3jd2I+DsCxhJjhPcNh9REKnZIpBSK3swv8l5odD96meCdPHkSQUFBOHv2LI4dO4bCwkL06NED2dllTwty5swZDB48GKNHj8bly5cRGBiIwMBAXL9+XSizdOlSrFq1CuvWrcO5c+dQq1Yt+Pv7Iy8vT6V4IyIiEBwcjPnz5+PSpUto27Yt/P39kZqaWqJsWFgYjWOkB5KSkjBy5EgAwNSpU9G7d29xAyKE1GjPcp7h00OfAgBmdZoFLxdqy6uralvwqSef5z7X7I6YAUhNTWUA2MmTJ8ssM3DgQBYQEKC0zMfHh40fP54xxphcLmdOTk5s2bJlwvq0tDQmlUrZtm3bhGWJiYlswIABzNbWltWuXZv16dOHJSQklBuft7c3CwoKEp7LZDLm4uLCQkNDlcpdvnyZubq6sqSkJAaA7dmzp6JDF6SnpzMALD09vdKvIZohk8mYn58fA8Datm3L8vLyxA5Jr9F3X/fRZ6S6wbsGMywAa7W2FcsrpHOKLruSfIVhAZjDMgeNfvf1sgbvVenp6QCAOnXKHuQxJiYGfn7K4wT5+/sjJiYGAJCQkIDk5GSlMra2tvDx8RHKFBYWwt/fH9bW1oiOjsbp06dhZWWFnj17oqCgoNT9FhQUIDY2Vmm7RkZG8PPzE7YLADk5ORgyZAjWrl1bqUt5+fn5yMjIULoR3bB8+XL8+eefsLCwwLZt2yCV0mUUQkj17bm5B9uub+OXZgPp0qyus5HaAKBetCqTy+WYNm0a3nrrLbRu3brMcsnJyXB0dFRa5ujoiOTkZGG9YllZZSIiIiCXy7FhwwZ4enqiRYsW2LRpExITExEVFVXqfp89ewaZTFbudgFg+vTp6NixI/r27Vup4w4NDYWtra1wa9CAJpfWBRcvXsTs2bMBACtXrkSLFi1EjogQUpM9y3km9Jqd8dYMdHDpIHJEpCKKYVJyi3JRJC/S2H70PsELCgrC9evXsX37do3v68qVK7h79y6sra1hZWUFKysr1KlTB3l5eYiPj0d0dLSw3MrKClu2bKnUdvfv34/jx48jLCys0rGEhIQgPT1duD18+LCaR0XUJTMzE4MHD0ZRURH69++PMWPGiB0SIaQGY4xh9P7RSMlOQct6LanXbA2hGCYF0GwtnonGtqwDJk2ahAMHDuDUqVOoX79+uWWdnJyQkpKitCwlJUW4HKq4T0lJgbOzs1KZdu3aAQCysrLg5eVVauJWr149mJmZIS4uTljm6OgIqVQKY2Pjcvd9/PhxxMfHw87OTqlM//790blz51JrB6VSKV360zGTJ0/G3bt30aBBA/z444/UWYYQopL1seux/9Z+mBmbYUu/LTA3MRc7JFIJZsZmkBpLkS/LR1ZBlsb2o5c1eIwxTJo0CXv27MHx48fh7u5e4Wt8fX0RGRmptOzYsWPw9fUFALi7u8PJyUmpTEZGBs6dOyeUad++Pe7cuQMHBwc0adJE6WZrawsLCwulZdbW1jAzM4OXl5fSduVyOSIjI4Xtzpo1C1evXkVcXJxwA4AVK1Zg06ZNKr1XRDu2bdsmjHO3ZcsW1K5dW+yQCCE12M2nNxF8lA+M/k33b9DOqZ24AZEqUdTiaTLB08tetBMnTmS2trYsKiqKJSUlCbecnByhzLBhw9isWbOE56dPn2YmJibs22+/ZTdv3mTz589npqam7Nq1a0KZb775htnZ2bF9+/axq1evsr59+zJ3d3eWm5vLGGMsOzubeXh4sK5du7JTp06xe/fusRMnTrDJkyezhw8flhnv9u3bmVQqZeHh4ezGjRts3LhxzM7OjiUnJ5f5GlAv2hrj3r17zMbGhgFg8+bNEzscg0Pffd1Hn1HV5BXmsbbft2VYANbjlx5MJpeJHRKpIvcwd4YFYMf+Pqax775eXqL9/vv/b+/Ow6Iu1/+Bv1mcYR+2ERQEF1xyRUAU01zgyEmURI+lGYKW5poeTcu+Jdbpq2lyZZGZWqGS5hZqqZhKkIUoggfMrURR3Nhkk0WEmef3hz/m68giIDAw835d11w2z/PMfO6bGZ5uPsvz2QAAGD58uFp7eHi4au2x9PR0tbsGDB48GDt27MD777+P9957D127dsX+/fvVLsxYunQpiouLMXPmTOTn52PIkCE4cuQIjIwe7RY3MTHBiRMn8M4772D8+PG4f/8+HBwc4O3tDQsLixrjfeWVV5CdnY3ly5cjIyMDrq6uOHLkSJULL6j1KS8vx6uvvorCwkIMHjwYH3zwgaZDIqJW7r3o95CSmQJbE1tseWkL9PW08mCcVlNdSduEtyvTE0KIJnt3ajEKCwshk8lQUFBQa7FJjev999/H//7v/0ImkyE5ORkdO3bUdEg6h9/9lo+fUd0dvXoUvt/7AgB+nvwzxnQbo+GIqCGGhg/FH+l/YNuL2zB14NQm+e6z7CdqIrGxsVi5ciUAYOPGjSzuiOiZZBRlIGh/EABg7oC5LO5ascqlUpryKloWeERNIDs7G6+99hqEEJg2bRpeeeUVTYdELcSJEycwduxYtG/fvs73lI6NjYWbmxukUilcXFywZcuWKmPqej/r+nraPbofN2vWLOjp6dVrSSeqm7KKMkzYPQEZRRnoJe+FT//xqaZDomegusiinFfRErUaCoUCkydPxu3bt9G9e3d88cUXmg6JWpDi4mL069cP69evr9P4tLQ0+Pn5YcSIEUhOTsbChQvxxhtv4JdfflGNqc/9rOujLvforrRv3z6cOnUK7du3f6ZtUlVCCMw7PA8nb56EpZEl9r2yD8ZtjDUdFj0DC8mjw7GFZU14l6lGv2yDWiRepdZ83nvvPQFAmJiYiPPnz2s6HJ3Xkr/7qMPV8EuXLhW9evVSa3vllVeEr6+v6nld7medl5cnXn/9dWFrayvMzc3FiBEjRHJycq3bfto9uivdunVLODg4iPPnzwtnZ2fx2Wef1fq+T2rJn1FLsD5hvcAKCP0P9cWRK0c0HQ41gqVHlwqsgJi9dzbvRUvUGvz888+q8+6++eYb9OrVS8MRUWv3tPtk1/V+1hMnTkRWVhaioqKQlJQENzc3eHt7Izc3t8HbBh6t2xkYGIglS5bw+94EYq/HYsGRBQCA1T6r4eviq+GIqDHYmT1aJSOnNKfJtqGVy6QQacLVq1cRGBgI4NFdKyZPnqzhiEgb1HSf7MLCQpSWliIvL6/G+1lfvnwZAPDHH38gISEBWVlZqjvcrF27Fvv378fevXsxc+bMem378ftkr169GoaGhnjrrbfqnFNZWRnKyspUzwsLm/AwVSt2OecyJu6ZiAplBab0mYLFXos1HRI1krambQEAWcXPdhpFbbgHj6gRFBcXY8KECSgoKICXlxfWrl2r6ZCIVFJSUlBUVAQbGxu1+2GnpaXh6tWrSE9PV2uv3Av9NElJSfj888+xZcuWet16b9WqVZDJZKpHhw4dGpqa1rqefx0+23yQU5IDj/Ye2DyWtzfUJnamj/5wyi7ObrJtcA8e0TNSKBSYMmUKUlJSIJfLsXv3bkgkEk2HRVqipvtkW1hYwNjYGAYGBk+9n3VRURHatWtX7X2rLS0tYWlpqXafbGtr61q3Xfm+v//+O7KysuDk5KTqVygUWLx4MdatW4fr169Xm9OyZcuwaNEi1fPCwkIWeY+5c/8OvLd54/b92+gp74moKVG8qELLqPbglTTdHjwWeETP6J133sGBAwcglUqxf/9+ODo6ajok0iJeXl5VliZ5/D7Zj9/Pety4cQD+737W8+bNA/DoPtkZGRkwNDSscT1GFxeXarcdHR2NhQsXVrvtwMDAas/RCwwMxLRp02rMSSqVqg4Vk7qckhz8I+IfuJZ3DZ2tOuNY4DHYmthqOixqZKpz8Ip5Dh5Ri7Rx40aEhoYCALZs2YLBgwdrOCJq6YqKipCamqp6npaWhuTkZFhbW8PJyQnLli3D7du3sW3bNgCP1pb78ssvsXTpUkyfPh2//vordu/ejUOHDqneY9GiRQgKCoKHhwc8PT2xbt06FBcXq4osHx8feHl5Ydy4cVizZg26deuGO3fu4NChQwgICICHh0e1sS5YsADDhg1DaGgo/Pz8sHPnTiQmJmLTpk0AABsbG9jY2Ki9pk2bNrC3t0f37t0b9eemCwoeFMD3e19czL4IB3MHRE+NRntzLjujjeQmcujr6UMJZdNtpNGvy6UWicsQNL6oqChhYGAgAIj//Oc/mg6HatDSvvsxMTECQJVHUFCQEEKIoKAgMWzYsCqvcXV1FRKJRHTu3FmEh4dXed+wsDDh5OQkJBKJ8PT0FKdOnVLrLywsFPPnzxft27cXbdq0ER06dBBTpkwR6enptca7e/du0a1bNyGRSESvXr3EoUOHah3PZVIa5l7JPTFw80CBFRDyNXJxKfuSpkOiJmb3qZ3Au2iy7z7vRasjeK/HxvXHH39g1KhRKC0txdSpU+t9kjk1H373Wz5d/4wyizIx6vtROJd5DtbG1oieGg1Xe1dNh0VNrP/G/ki+ngx8At6LlqglSEpKgp+fH0pLS/Hiiy9i82Ze3UZEDXMj/waGhg/FucxzsDezx2/Bv7G40xHtzNo16fvzHDyierhw4QJ8fX1RWFiIYcOG4ccff+QVs0TUIGfvnoXfDj9kFGXAWeaM41OPw8W66sUupJ2ausDjHjyiOkpNTYWPjw/u3bsHT09P/PzzzzA25tIFRFR/UVei8EL4C8goykBfu76Imx7H4k7HtDNngUekcTdv3oS3tzcyMjLQt29fREVFwdzcXNNhEVErI4RA2OkwjP1hLIrLi+HT2Qcngk/AwcJB06FRM+MePCINu337Nnx8fJCeno5u3brh6NGjqoVgiYjq6kHFA0z/aTreOvIWFEKBoH5BOPTqIciMZJoOjTQgsF8gUt9KffrABuI5eES1uHbtGry9vXH9+nU4Ozvj+PHjVe7NSUT0NLcKb2HC7glIuJ0AfT19rP3HWiwctJAXaOkwC6kFYNp0788Cj6gGFy9ehI+PD+7evQsXFxccP36ct1Miono7fOUwpu6binul92BlZIXdE3fDp7PP019I9Ax4iJaoGqdPn8YLL7yAu3fvonfv3jhx4gScnZ01HRYRtSLlinIsPbYUfjv8cK/0HtzauSFxZiKLO2oW3INH9ISdO3ciODgYZWVlGDBgAKKioqrcjomIqDZpeWmYEjkF8bfiAQDzBszD2lFrITXkPXipeXAPHtH/J4TAihUrMHnyZJSVlWHs2LGIjo5mcUdEdSaEwLaUbej3dT/E34qHTCrD3ol7ETY6jMUdNSvuwSMCcP/+fcyYMQO7du0CACxZsgSrVq2CgYGBhiMjotYirzQPsw7Nwu4LuwEAz3d4HhEBEehk1UnDkZEuYoFHOi8xMRGTJk3C1atXYWhoiI0bN2L69OmaDouIWpHDVw7jzYNv4lbhLRjqG2LFsBV4Z8g7MNTn/2ZJM/jNI52lVCoRGhqK9957DxUVFXBycsIPP/yAwYMHazo0ImolbhbcxMJfFiLyUiQAoKt1V2wfvx0DHAZoODLSdSzwSCfdvHkTb7zxBo4ePQoA+Ne//oVNmzbByspKw5ERUWtQrijHF6e/QEhsCIrLi2GgZ4B/D/o3QoaHwExipunwiFjgkW6pqKjAF198geXLl6O4uBjGxsb4/PPP8cYbb3DBUSKqk1/TfsXCIwvxZ9afAB6da7fBbwP62PXRcGRE/4cFHumMM2fOYObMmUhOTgYAPP/889i8eTOee+45zQZGRK3CpexLWHp8KQ7+fRAAYGNsgzX/WINg12Do63FRCmpZWOCR1svNzUVISAjWr18PIQSsrKywZs0aTJ8+Hfr6nJSJqHaZRZlYEbsCm89uhkIoYKhviFnusxAyPAS2JraaDo+oWizwSGuVlpYiLCwMq1atQn5+PgDgtddeQ2hoKNq2bavZ4IioxSt6WITPT32OT+I+QdHDIgBAQI8AfOLzCbrZdNNwdES1Y4FHWqe0tBTffvstVq9ejVu3bgEA+vTpg88++wze3t4ajo6IWrr0gnR8mfAlNp/djPwH+QCAAe0HIHRUKIY6D9VscER1xAKPtEZBQQE2bdqE0NBQZGZmAgA6dOiAjz/+GFOmTOGixURUIyEETt06hXWn1+HHiz9CIRQAHi178tGIj/Byr5d5nh21KizwqNW7cuUKwsLCEB4ejqKiR4dRnJyc8O6772LatGkwMjLScIRE1FKVK8qx9+JerDu9Dgm3E1Tt3p28sXDQQozuOpqFHbVKLPCoVSorK8PPP/+M7777DlFRUar25557DkuXLsWUKVPQpk0bDUZIRC2VUihx5vYZRF6KxI7zO3Cr8NGpHFIDKab0mYIFgxagr11fDUdJ9GxY4FGrIYTAmTNnsHXrVvzwww/Iy8tT9fn5+WHBggXw8fHhenZEVIVCqcDv6b8j8lIk9l3epyrqAMDO1A5zBszBLI9ZaGvKC7BIO7DAoxZNqVTi5MmTiIyMRGRkJG7cuKHqc3R0RGBgIKZNm4auXbtqMEoiaokeKh4i+lo0Ii9F4sBfB5Bdkq3qM5OYYUy3MRjfYzz8u/tDaijVYKREjY8FHrU4+fn5iI2NxZEjR3DgwAFkZGSo+kxMTBAQEICgoCCMHDmSF04QkZq80jzEXo/Fj5d+xMG/D6KgrEDVZ21sjZe6v4Txz42HT2cfGBny/FzSXizwSONKS0tx8uRJHD9+HNHR0UhKSoJSqVT1y2Qy+Pv7Y/z48Rg1ahRMTEw0GC0RtRR5pXk4e/csku4mPXrcScLVvKtqY9qZtUNAjwCMf248XnB+AW0MeG4u6QYWeNSsFAoF/v77byQmJuLMmTNITEzE2bNnUVZWpjaue/fu8Pb2hr+/P0aMGAGJRKKhiImoJcgtzX1UzN1JUhV01/KuVTvWxdoF/t38MaHnBAxyHMSrYEknscCjJlNcXIzU1FRcunQJiYmJSExMRFJSkmopk8e1b98e3t7e8PHxwciRI+Ho6KiBiImoJcgtzVUr5JLuJCEtP63asZ2tOsO9nfujR3t3uLVzg7WxdTNHTNTysMCjZ1JaWoqrV6/iypUrVR537typ9jUmJiZwc3ODh4cHPDw8MGDAAHTt2pVXvxLpuMDIQJwrOIfr+der7e9i1QXu7d1VBZ1bOzdYGVs1b5BErYVo5b788kvh7OwspFKp8PT0FKdPn651/O7du0X37t2FVCoVvXv3FocOHVLrVyqV4oMPPhD29vbCyMhIeHt7i7///rspUxClpaVizpw5wtraWpiamorx48eLjIwMtTE3btwQo0ePFsbGxkIul4u3335blJeX13kbBQUFAoAoKCio0/iSkhJx48YNcebMGXHo0CERHh4uVq9eLd5++20xdepUMXLkSNGhQwehp6cnANT4sLGxEV5eXmLOnDkiPDxc/Pnnn/WKm+hZ1fe735g4P9VN5WeEdyGw4tHD5QsX8cqeV8SaP9aI6GvRIrckt7FTI9K4ppyfWnWBt3PnTiGRSMR3330nLly4IGbMmCEsLS1FZmZmtePj4uKEgYGBWLNmjbh48aJ4//33RZs2bcSff/6pGvPJJ58ImUwm9u/fL1JSUoS/v7/o1KmTKC0tbXCcQUFBIiQkpMb+WbNmiQ4dOojo6GiRmJgoBg0aJAYPHqzqr6ioEL179xY+Pj7iv//9rzh8+LCwtbUVy5Ytq3MMlV+iuLg4cezYMbF9+3bx2WefiWXLlonXX39d+Pv7i0GDBonOnTsLMzOzWou2Jx8ymUx4eHiIyZMni+XLl4uIiAhx+vRpkZvLCZk0T1MFHuen+s9PH/3ykYi+Fi3ySvManA9Ra8ICrwaenp5i7ty5qucKhUK0b99erFq1qtrxL7/8svDz81NrGzhwoHjzzTeFEI/+Ora3txeffvqpqj8/P19IpVLxww8/qNrS09PFxIkThUwmE1ZWVsLf31+kpaXVGGdtE2h+fr5o06aN2LNnj6rt0qVLAoCIj48XQghx+PBhoa+vr/ZX84YNG4SFhYUoKyurcbuPU/2FXI+HRCIRjo6Oon///sLX11cEBgaKxYsXi9WrV4utW7eKuLg4kZWVJZRKZZ1iINIETRV4nJ/qPz9pYi8rkSY15Xe/1Z6D9/DhQyQlJWHZsmWqNn19ffj4+CA+Pr7a18THx2PRokVqbb6+vti/fz8AIC0tDRkZGfDx8VH1y2QyDBw4EPHx8Zg0aRLKy8vh6+sLLy8v/P777zA0NMTHH3+Mf/7znzh37ly9r/ZMSkpCeXm52jZ79OgBJycnxMfHY9CgQYiPj0efPn1gZ2enFvfs2bNx4cIF9O/fv87bs7W1hZ2dHdq2bVvlIZfL1Z5bWFjwvDiiBuD81LD5iYgaT6st8HJycqBQKNQmFQCws7PD5cuXq31NRkZGteMrF9Kt/Le2Mbt27YJSqcQ333yjKn7Cw8NhaWmJ2NhYjBo1ql55ZGRkQCKRwNLSsta4qovp8ZifVFZWprb0SGFhIQDg6tWrsLCwqFeMRFQ/nJ8aNj8RUePh4kD1lJKSgtTUVJibm8PMzAxmZmawtrbGgwcPcPXqowU2t2/fruozMzPD9u3bsXLlSrW233//vUnjXLVqFWQymerRoUOHJt0eEWke5yciqtRq9+DZ2trCwMAAmZmZau2ZmZmwt7ev9jX29va1jq/8NzMzE+3atVMb4+rqCgAoKiqCu7s7tm/fXuX95XI5AMDf3x8DBw5Utb/zzjtwcHDAW2+9pWpzcHBQbfPhw4fIz89X+yv5ybgSEhKqxP14zE9atmyZ2uGewsJCTqJEzYTzE+cnIk1rtXvwJBIJ3N3dER0drWpTKpWIjo6Gl5dXta/x8vJSGw8Ax44dU43v1KkT7O3t1cYUFhbi9OnTqjFubm64cuUK2rZtCxcXF7WHTCYDAJibm6u1m5ubw9raWq3N2NgYAODu7o42bdqobfOvv/5Cenq6apteXl74888/kZWVpRa3hYUFevbsWW2uUqkUFhYWag8iah6cnzg/EWlco1+20Yx27twppFKp2LJli7h48aKYOXOmsLS0VF3NFRgYKN59913V+Li4OGFoaCjWrl0rLl26JEJCQqpdhsDS0lIcOHBAnDt3Trz00ktqyxAUFxeLrl27iuHDh4sTJ06Ia9euiZiYGDF//nxx8+bNauOsyzIETk5O4tdffxWJiYnCy8tLeHl5qforlyEYNWqUSE5OFkeOHBFyubxByxDwKjXSNZpcJoXzU91wfiJdxWVSahEWFiacnJyERCIRnp6e4tSpU6q+YcOGiaCgILXxu3fvFt26dRMSiUT06tWrxoVE7ezshFQqFd7e3uKvv/5SG3P37l0xdepUYWtrK6RSqejcubOYMWNGjR/Q0ybQyoVErayshImJiQgICBB3795VG3P9+nXx4osvCmNjY2FraysWL17cpAsdE2kLTX73OT/VDecn0lVN+d3XE0IIze0/pOZSWFgImUyGgoICHg4hncLvfsvHz4h0VVN+91vtRRZUP5V1PJcjIF1T+Z3n37ItF+cn0lVNOT+xwNMR9+7dAwBeqUY66969e6oLDahl4fxEuq4p5icWeDrC2toaAJCent4oX6IBAwbgzJkzjTK2tv7q+p5sq+155X9XLsNw8+bNRtkN3hz563LuNfXVJd8n+woKCuDk5KT6HaCWh/NT6/sd1eXca+prafMTCzwdoa//aEUcmUzWKL9EBgYGdX6fp42trb+6vifbanv+ZF9jLcnQHPnrcu419dUn3yefV/4OUMvD+emR1vQ7qsu519TX0uYnznjUIHPnzm20sbX1V9f3ZFttz+sTZ300R/66nHtNffXJt6nyp5avpX5Hn3zemn9HdTn3mvpa2vzEq2h1hK5fpabL+ety7gDzbw10/TPS5fx1OXegafPnHjwdIZVKERISAqlUqulQNEKX89fl3AHm3xro+meky/nrcu5A0+bPPXhEREREWoZ78IiIiIi0DAs8IiIiIi3DAo+IiIhIy7DAIyIiItIyLPCIiIiItAwLPAIAHDx4EN27d0fXrl3xzTffaDqcZhUQEAArKyv861//0nQoze7mzZsYPnw4evbsib59+2LPnj2aDqnZ5Ofnw8PDA66urujduzc2b96s6ZCoBpyfOD9xfqr//MRlUggVFRXo2bMnYmJiIJPJ4O7ujpMnT8LGxkbToTWL2NhY3L9/H1u3bsXevXs1HU6zunv3LjIzM+Hq6oqMjAy4u7vj77//hqmpqaZDa3IKhQJlZWUwMTFBcXExevfujcTERJ353rcWnJ84P3F+atj8xD14hISEBPTq1QsODg4wMzPDiy++iKNHj2o6rGYzfPhwmJubazoMjWjXrh1cXV0BAPb29rC1tUVubq5mg2omBgYGMDExAQCUlZVBCAH+vdvycH7i/ARwfmrI/MQCTwucOHECY8eORfv27aGnp4f9+/dXGbN+/Xp07NgRRkZGGDhwIBISElR9d+7cgYODg+q5g4MDbt++3RyhP7Nnzb21a8z8k5KSoFAo0KFDhyaOunE0Ru75+fno168fHB0dsWTJEtja2jZT9LqD8xPnJ85PmpmfWOBpgeLiYvTr1w/r16+vtn/Xrl1YtGgRQkJCcPbsWfTr1w++vr7Iyspq5kgbny7nDjRe/rm5uZg6dSo2bdrUHGE3isbI3dLSEikpKUhLS8OOHTuQmZnZXOHrDF3+HdXl3AHOTxqfnwRpFQBi3759am2enp5i7ty5qucKhUK0b99erFq1SgghRFxcnBg3bpyqf8GCBWL79u3NEm9jakjulWJiYsSECROaI8wm09D8Hzx4IIYOHSq2bdvWXKE2umf57CvNnj1b7NmzpynD1Hmcn/aptXF+4vxUqSnmJ+7B03IPHz5EUlISfHx8VG36+vrw8fFBfHw8AMDT0xPnz5/H7du3UVRUhKioKPj6+moq5EZTl9y1WV3yF0IgODgYI0eORGBgoKZCbXR1yT0zMxP3798HABQUFODEiRPo3r27RuLVVZyfOD9xfnqkKeYnw8YLmVqinJwcKBQK2NnZqbXb2dnh8uXLAABDQ0OEhoZixIgRUCqVWLp0qVZcoVaX3AHAx8cHKSkpKC4uhqOjI/bs2QMvL6/mDrfR1SX/uLg47Nq1C3379lWdIxIREYE+ffo0d7iNqi6537hxAzNnzlSdvDx//vxWn3drw/mJ8xPnp//T2PMTCzwCAPj7+8Pf31/TYWjE8ePHNR2CxgwZMgRKpVLTYWiEp6cnkpOTNR0G1QHnJ93E+Sn5md6Dh2i1nK2tLQwMDKqcnJmZmQl7e3sNRdU8dDl3QLfz1+XcWxNd/px0OXdAt/NvrtxZ4Gk5iUQCd3d3REdHq9qUSiWio6O1Yjd/bXQ5d0C389fl3FsTXf6cdDl3QLfzb67ceYhWCxQVFSE1NVX1PC0tDcnJybC2toaTkxMWLVqEoKAgeHh4wNPTE+vWrUNxcTGmTZumwagbhy7nDuh2/rqce2uiy5+TLucO6Hb+LSL3el1zSy1STEyMAFDlERQUpBoTFhYmnJychEQiEZ6enuLUqVOaC7gR6XLuQuh2/rqce2uiy5+TLucuhG7n3xJy571oiYiIiLQMz8EjIiIi0jIs8IiIiIi0DAs8IiIiIi3DAo+IiIhIy7DAIyIiItIyLPCIiIiItAwLPCIiIiItwwKPiIiISMuwwCMiIiLSMizwiIiIiLQMCzwiIiIiLcMCj4iIiEjLsMAjIiIi0jIs8IiIiIi0DAs8IiIiIi3DAo+IiIhIy7DAIyIiItIyLPCIiIiItAwLPCIiIiItwwKPiIiISMuwwCMiIiLSMizwiIiIiLQMCzwiIiIiLcMCj4iIiEjLsMAjIiIi0jIs8IiIiIi0DAs8IiIiIi3DAo+IiIhIy7DAI6JGtWLFCujp6UFPTw9mZmaaDgdbtmyBnp4erl+/rulQWgVXV1fV5zdmzBhNh0NEDcQCj0gLVBYxiYmJmg5FJSIiAt9++61a21dffYUtW7ZoJiAdUVJSghUrViA2NrZBr1+5ciUiIiJga2vbuIERUbMy1HQARKSdXnvttSptX331FWxtbREcHNz8AemIkpISfPjhhwCA4cOH1/v1o0ePBgC8//77jRkWETUz7sEjohapuLhY0yEQEbVaLPCIdMTDhw+xfPlyuLu7QyaTwdTUFEOHDkVMTEyVsffu3UNgYCAsLCxgaWmJoKAgpKSkQE9Pr8GHWDt27IgLFy7gt99+U53jVbmHqfIQ82+//YY5c+agbdu2cHR0BADcuHEDc+bMQffu3WFsbAwbGxtMnDix2nPqLly4gJEjR8LY2BiOjo74+OOPoVQqq40nKioKQ4cOhampKczNzeHn54cLFy7UKZf8/Hz8+9//RseOHSGVSuHo6IipU6ciJydHNSYrKwuvv/467OzsYGRkhH79+mHr1q1q7xMbGws9Pb0qh1OvX79e5WcdHBwMMzMz3L59G+PGjYOZmRnkcjnefvttKBQK1evkcjkA4MMPP1T9nFesWAEAyMjIwLRp0+Do6AipVIp27drhpZde4vmJRFqIh2iJdERhYSG++eYbTJ48GTNmzMD9+/fx7bffwtfXFwkJCXB1dQUAKJVKjB07FgkJCZg9ezZ69OiBAwcOICgo6Jm2v27dOsyfPx9mZmb4n//5HwCAnZ2d2pg5c+ZALpdj+fLlqj14Z86cwcmTJzFp0iQ4Ojri+vXr2LBhA4YPH46LFy/CxMQEwKPiZcSIEaioqMC7774LU1NTbNq0CcbGxlViiYiIQFBQEHx9fbF69WqUlJRgw4YNGDJkCP773/+iY8eONeZRVFSEoUOH4tKlS5g+fTrc3NyQk5ODn376Cbdu3YKtrS1KS0sxfPhwpKamYt68eejUqRP27NmD4OBg5OfnY8GCBQ36GSoUCvj6+mLgwIFYu3Ytjh8/jtDQUHTp0gWzZ8+GXC7Hhg0bMHv2bAQEBGD8+PEAgL59+wIAJkyYgAsXLmD+/Pno2LEjsrKycOzYMaSnp9eaMxG1QoKIWr3w8HABQJw5c6bGMRUVFaKsrEytLS8vT9jZ2Ynp06er2n788UcBQKxbt07VplAoxMiRIwUAER4eXmssISEhoqappVevXmLYsGE1xj9kyBBRUVGh1ldSUlJlfHx8vAAgtm3bpmpbuHChACBOnz6tasvKyhIymUwAEGlpaUIIIe7fvy8sLS3FjBkz1N4zIyNDyGSyKu1PWr58uQAgIiMjq/QplUohhBDr1q0TAMT333+v6nv48KHw8vISZmZmorCwUAghRExMjAAgYmJi1N4nLS2tys86KChIABAfffSR2tj+/fsLd3d31fPs7GwBQISEhKiNy8vLEwDEp59+Wmt+lZydnYWfn1+dxhJRy8NDtEQ6wsDAABKJBMCjvXS5ubmoqKiAh4cHzp49qxp35MgRtGnTBjNmzFC16evrY+7cuU0e44wZM2BgYKDW9vgeuPLycty7dw8uLi6wtLRUi/vw4cMYNGgQPD09VW1yuRxTpkxRe79jx44hPz8fkydPRk5OjuphYGCAgQMHVnvI+nE//vgj+vXrh4CAgCp9enp6qljs7e0xefJkVV+bNm3w1ltvoaioCL/99lsdfhrVmzVrltrzoUOH4tq1a099nbGxMSQSCWJjY5GXl9fg7RNR68ACj0iHbN26FX379oWRkRFsbGwgl8tx6NAhFBQUqMbcuHED7dq1Ux36rOTi4tLk8XXq1KlKW2lpKZYvX44OHTpAKpXC1tYWcrkc+fn5VeLu2rVrldd3795d7fmVK1cAACNHjoRcLld7HD16FFlZWbXGePXqVfTu3bvWMZWx6OurT7HPPfecqr8hjIyMVOfYVbKysqpTwSaVSrF69WpERUXBzs4OL7zwAtasWYOMjIwGxUJELRvPwSPSEd9//z2Cg4Mxbtw4LFmyBG3btoWBgQFWrVqFq1evajo8AKj2fLn58+cjPDwcCxcuhJeXF2QyGfT09DBp0qQaL6CoTeVrIiIiYG9vX6Xf0LD5psXKPX5Pqrxo4klP7t2sr4ULF2Ls2LHYv38/fvnlF3zwwQdYtWoVfv31V/Tv3/+Z3puIWhYWeEQ6Yu/evejcuTMiIyPVCouQkBC1cc7OzoiJiUFJSYnaXrzU1NRnjqGmgqY2e/fuRVBQEEJDQ1VtDx48QH5+vto4Z2dn1d65x/31119qz7t06QIAaNu2LXx8fOodT5cuXXD+/Plaxzg7O+PcuXNQKpVqe/EuX76s6gce7X0DUCWXhu7hA57+M+7SpQsWL16MxYsX48qVK3B1dUVoaCi+//77Bm+TiFoeHqIl0hGVe3+EEKq206dPIz4+Xm2cr68vysvLsXnzZlWbUqnE+vXrnzkGU1PTKsXM0xgYGKjFDABhYWFV9nKNHj0ap06dQkJCgqotOzsb27dvVxvn6+sLCwsLrFy5EuXl5VW2l52dXWs8EyZMQEpKCvbt21elrzLO0aNHIyMjA7t27VL1VVRUICwsDGZmZhg2bBiAR4WegYEBTpw4ofY+X331Va0x1KayKH/y51xSUoIHDx6otXXp0gXm5uYoKytr8PaIqGXiHjwiLfLdd9/hyJEjVdoXLFiAMWPGIDIyEgEBAfDz80NaWhq+/vpr9OzZE0VFRaqx48aNg6enJxYvXozU1FT06NEDP/30E3JzcwE0bC9cJXd3d2zYsAEff/wxXFxc0LZtW4wcObLW14wZMwYRERGQyWTo2bMn4uPjcfz4cdjY2KiNW7p0KSIiIvDPf/4TCxYsUC2TUrk3rZKFhQU2bNiAwMBAuLm5YdKkSZDL5UhPT8ehQ4fw/PPP48svv6wxniVLlmDv3r2YOHEipk+fDnd3d+Tm5uKnn37C119/jX79+mHmzJnYuHEjgoODkZSUhI4dO2Lv3r2Ii4vDunXrYG5uDgCQyWSYOHEiwsLCoKenhy5duuDgwYNPPQ+wNsbGxujZsyd27dqFbt26wdraGr1790ZFRQW8vb3x8ssvo2fPnjA0NMS+ffuQmZmJSZMmNXh7RNRCafgqXiJqBJXLjNT0uHnzplAqlWLlypXC2dlZSKVS0b9/f3Hw4EERFBQknJ2d1d4vOztbvPrqq8Lc3FzIZDIRHBws4uLiBACxc+fOWmOpbZmUjIwM4efnJ8zNzQUA1ZIptS3zkpeXJ6ZNmyZsbW2FmZmZ8PX1FZcvXxbOzs4iKChIbey5c+fEsGHDhJGRkXBwcBD/+c9/xLfffqu2TEqlmJgY4evrK2QymTAyMhJdunQRwcHBIjExsdb8hBDi3r17Yt68ecLBwUFIJBLh6OgogoKCRE5OjmpMZmamKm6JRCL69OlT7RIz2dnZYsKECcLExERYWVmJN998U5w/f77aZVJMTU2rvL66n/fJkyeFu7u7kEgkqiVTcnJyxNy5c0WPHj2EqampkMlkYuDAgWL37t3V5shlUohaNz0hnjj2QURUjf379yMgIAB//PEHnn/++RrHrVixAh9++CGys7Ohp6dXZU8btWz5+fmoqKiAm5sb+vbti4MHD2o6JCJqAJ6DR0RVlJaWqj1XKBQICwuDhYUF3Nzc6vQecrlcdTEBtR7Dhw+HXC7HzZs3NR0KET0DnoNHRFXMnz8fpaWl8PLyQllZGSIjI3Hy5EmsXLmy2qVMHjd16lQMGTIEQPMuOUKNY+PGjbh//z4AVFlzj4haDx6iJaIqduzYgdDQUKSmpuLBgwdwcXHB7NmzMW/ePE2HRkREdcACj4iIiEjL8Bw8IiIiIi3DAo+IiIhIy7DAIyIiItIyLPCIiIiItAwLPCIiIiItwwKPiIiISMuwwCMiIiLSMizwiIiIiLQMCzwiIiIiLfP/AO10hDdr5PM/AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_dir = \"data/raw/\"\n",
    "plot.plot_response_plot(data_dir)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## C. Transfer Entropy from keywords to crypto logreturns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Load data\n",
    "df = pd.read_parquet(\"data/clean/googleTrends_btc_ada_eth_ltc\")\n",
    "#Matching index column to name column\n",
    "idx2name = {id : name for id, name in enumerate(df.columns)}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bivariate transfer entropy (bTE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ----- Parameters for inference -----\n",
    "max_lag_sources = 4     #Change to 22 for bte2\n",
    "min_lag_sources = 1     #Change to 4 for bte2\n",
    "thau = 1                #Change to 6 for bte2\n",
    "targets_idx = [0, 1, 2, 3]\n",
    "name_file = \"results_bte\"\n",
    "\n",
    "# ----- Graph inference (takes time) -----\n",
    "#te.infer_graph_bTE(max_lag_sources, min_lag_sources, thau, df, targets_idx, name_file)\n",
    "\n",
    "# ----- Load results -----\n",
    "path_res = \"data/clean/transfer_entropy/\" + name_file + \".p\"\n",
    "results = te.load_results(path_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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></th>\n",
       "      <th>Info delay</th>\n",
       "      <th>TE</th>\n",
       "      <th>P-value</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Target</th>\n",
       "      <th>Source</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">BTC_Logrets</th>\n",
       "      <th>Bitcoin</th>\n",
       "      <td>4</td>\n",
       "      <td>0.026238</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>btc</th>\n",
       "      <td>3</td>\n",
       "      <td>0.028599</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Musk</th>\n",
       "      <td>4</td>\n",
       "      <td>0.026932</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>trading</th>\n",
       "      <td>4</td>\n",
       "      <td>0.019685</td>\n",
       "      <td>0.006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Litecoin</th>\n",
       "      <td>1</td>\n",
       "      <td>0.017150</td>\n",
       "      <td>0.010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">ADA_Logrets</th>\n",
       "      <th>Bitcoin</th>\n",
       "      <td>4</td>\n",
       "      <td>0.020975</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>btc</th>\n",
       "      <td>3</td>\n",
       "      <td>0.023396</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ethereum</th>\n",
       "      <td>4</td>\n",
       "      <td>0.016977</td>\n",
       "      <td>0.022</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Litecoin</th>\n",
       "      <td>1</td>\n",
       "      <td>0.015580</td>\n",
       "      <td>0.016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Cardano</th>\n",
       "      <td>2</td>\n",
       "      <td>0.016350</td>\n",
       "      <td>0.026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">ETH_Logrets</th>\n",
       "      <th>LTC_Logrets</th>\n",
       "      <td>3</td>\n",
       "      <td>0.019126</td>\n",
       "      <td>0.012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bitcoin</th>\n",
       "      <td>4</td>\n",
       "      <td>0.025819</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>btc</th>\n",
       "      <td>4</td>\n",
       "      <td>0.046540</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ethereum</th>\n",
       "      <td>2</td>\n",
       "      <td>0.019592</td>\n",
       "      <td>0.004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Musk</th>\n",
       "      <td>3</td>\n",
       "      <td>0.017782</td>\n",
       "      <td>0.016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">LTC_Logrets</th>\n",
       "      <th>Bitcoin</th>\n",
       "      <td>1</td>\n",
       "      <td>0.029083</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>btc</th>\n",
       "      <td>4</td>\n",
       "      <td>0.030690</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ethereum</th>\n",
       "      <td>2</td>\n",
       "      <td>0.035463</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FED</th>\n",
       "      <td>2</td>\n",
       "      <td>0.015778</td>\n",
       "      <td>0.026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Litecoin</th>\n",
       "      <td>3</td>\n",
       "      <td>0.030237</td>\n",
       "      <td>0.002</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         Info delay        TE  P-value\n",
       "Target      Source                                    \n",
       "BTC_Logrets Bitcoin               4  0.026238    0.002\n",
       "            btc                   3  0.028599    0.002\n",
       "            Musk                  4  0.026932    0.002\n",
       "            trading               4  0.019685    0.006\n",
       "            Litecoin              1  0.017150    0.010\n",
       "ADA_Logrets Bitcoin               4  0.020975    0.002\n",
       "            btc                   3  0.023396    0.002\n",
       "            Ethereum              4  0.016977    0.022\n",
       "            Litecoin              1  0.015580    0.016\n",
       "            Cardano               2  0.016350    0.026\n",
       "ETH_Logrets LTC_Logrets           3  0.019126    0.012\n",
       "            Bitcoin               4  0.025819    0.002\n",
       "            btc                   4  0.046540    0.002\n",
       "            Ethereum              2  0.019592    0.004\n",
       "            Musk                  3  0.017782    0.016\n",
       "LTC_Logrets Bitcoin               1  0.029083    0.002\n",
       "            btc                   4  0.030690    0.002\n",
       "            Ethereum              2  0.035463    0.002\n",
       "            FED                   2  0.015778    0.026\n",
       "            Litecoin              3  0.030237    0.002"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# ----- Inference results -----\n",
    "res_ind = te.individual_results_all(targets_idx, results, idx2name)\n",
    "res_joint = te.joint_results(results, idx2name)\n",
    "\n",
    "# p-values for the estimated bivariate transfer entropy for significant individual links \n",
    "res_ind"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                         Info delay        TE  P-value\n",
      "Target      Source                                    \n",
      "BTC_Logrets Bitcoin               4  0.026238    0.002\n",
      "            btc                   3  0.028599    0.002\n",
      "            Musk                  4  0.026932    0.002\n",
      "            trading               4  0.019685    0.006\n",
      "            Litecoin              1  0.017150    0.010\n",
      "ADA_Logrets Bitcoin               4  0.020975    0.002\n",
      "            btc                   3  0.023396    0.002\n",
      "            Ethereum              4  0.016977    0.022\n",
      "            Litecoin              1  0.015580    0.016\n",
      "            Cardano               2  0.016350    0.026\n",
      "ETH_Logrets LTC_Logrets           3  0.019126    0.012\n",
      "            Bitcoin               4  0.025819    0.002\n",
      "            btc                   4  0.046540    0.002\n",
      "            Ethereum              2  0.019592    0.004\n",
      "            Musk                  3  0.017782    0.016\n",
      "LTC_Logrets Bitcoin               1  0.029083    0.002\n",
      "            btc                   4  0.030690    0.002\n",
      "            Ethereum              2  0.035463    0.002\n",
      "            FED                   2  0.015778    0.026\n",
      "            Litecoin              3  0.030237    0.002\n"
     ]
    }
   ],
   "source": [
    "# Display heatmap of information delay \n",
    "path_name = \"info_delay_bTE2\"\n",
    "te.information_delay_bte(res_ind, path_name)\n",
    "print(res_ind)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## D. Lead-Lag Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "llr_df, minimum_statistically_significant_llr = llr.fetch_lead_lag_ratios()\n",
    "graph_adjacency_matrix, significant_edges_weights, node_name_list, node_degrees = llr.llr_plot(llr_df, \"2021-01-01\",threshold = minimum_statistically_significant_llr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " HALF CLUSTER  Lc.new > max(Lc.old)\n",
      " HALF CLUSTER  Lc.new > max(Lc.old)\n",
      "Lc.new <= max(Lc.old), exiting\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "llr.plot_giada_marsili_clustering(RMT_corrected=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "adaexam2023",
   "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": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}