{"nbformat":4,"nbformat_minor":0,"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.7.4"},"colab":{"name":"07.01-Measuring-Return.ipynb","provenance":[],"collapsed_sections":[],"toc_visible":true}},"cells":[{"cell_type":"markdown","metadata":{"pycharm":{},"id":"dC0K7BZiKe4P"},"source":["\n","*This notebook contains course material from [CBE40455](https://jckantor.github.io/CBE40455) by\n","Jeffrey Kantor (jeff at nd.edu); the content is available [on Github](https://github.com/jckantor/CBE40455.git).\n","The text is released under the [CC-BY-NC-ND-4.0 license](https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode),\n","and code is released under the [MIT license](https://opensource.org/licenses/MIT).*"]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"kywwqZ38Ke4Q"},"source":["\n","< [Risk and Diversification](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.00-Risk-and-Diversification.ipynb) | [Contents](toc.ipynb) | [Geometric Brownian Motion](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.02-Geometric-Brownian-Motion.ipynb) >

\"Open

\"Download\""]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"yv2KJXVdKe4S"},"source":["# Measuring Return\n","\n","How much does one earn relative to the amount invested? \n","\n","This is the basic concept of return, and one of the fundamental measurements of financial performance. This notebook examines the different ways in which return can be measured."]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"evkdzCeTKe4T"},"source":["## Pandas-datareader\n","\n","As will be shown below, [pandas-datareader](https://github.com/pydata/pandas-datareader) provides a convenient means access and manipulate financial data using the Pandas library. The pandas-datareader is normally imported separately from pandas. Typical installation is\n","\n"," pip install pandas-datareader\n","\n","from a terminal window, or executing\n","\n"," !pip install pandas-datareader\n","\n","in a Jupyter notebook cell. Google Colab environment now includes pandas-datareader, so separate installation is required."]},{"cell_type":"markdown","metadata":{"id":"1nTCtGTkJSFd"},"source":["## Imports"]},{"cell_type":"code","metadata":{"jupyter":{"outputs_hidden":true},"pycharm":{},"id":"WQGo0o7_Ke4U","executionInfo":{"status":"ok","timestamp":1604409829630,"user_tz":300,"elapsed":629,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}}},"source":["%matplotlib inline\n","import matplotlib.pyplot as plt\n","import numpy as np\n","import seaborn as sns\n","\n","import datetime\n","\n","import pandas as pd\n","import pandas_datareader as pdr"],"execution_count":1,"outputs":[]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"Eh1HgZKdKe4d"},"source":["## Where to get Price Data\n","\n","This notebook uses the price of stocks and various commodity goods for the purpose of demonstrating returns. Price data is available from a number of sources. Here we demonstrate the process of obtaining price data on financial goods from [Yahoo Finance](http://finance.yahoo.com/) and downloading price data sets from [Quandl](http://www.quandl.com/).\n","\n","The most comprehensive repositories of financial data are commercial enterprises. Some provide a free tier of service for limited use, typically 50 inquires a day or several hundred a month. Some require registration to access the free tier. These details are a constantly changing. A listing of free services is available from [awesome-quant](https://github.com/wilsonfreitas/awesome-quant#data-sources), but please note that details change quickly."]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"SOgpAYEzKe4Y"},"source":["### Stock Symbols\n","\n","Stock price data is usually indexed and accessed by stock symbols. Stock symbols are unique identifiers for a stock, commodity, or other financial good on a specific exchanges. The following function looks up details of stock symbol on yahoo finance.."]},{"cell_type":"code","metadata":{"pycharm":{},"id":"khRgx1GPKe4Z","executionInfo":{"status":"ok","timestamp":1604409830054,"user_tz":300,"elapsed":317,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"7f6143c7-4b16-448d-c496-c348900c319a","colab":{"base_uri":"https://localhost:8080/"}},"source":["# python libraray for accessing internet resources\n","import requests\n","\n","def lookup_yahoo(symbol):\n"," \"\"\"Return a list of all matches for a symbol on Yahoo Finance.\"\"\"\n"," url = f\"http://d.yimg.com/autoc.finance.yahoo.com/autoc?query={symbol}®ion=1&lang=en\"\n"," return requests.get(url).json()[\"ResultSet\"][\"Result\"]\n","\n","lookup_yahoo(\"XOM\")"],"execution_count":2,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[{'exch': 'NYQ',\n"," 'exchDisp': 'NYSE',\n"," 'name': 'Exxon Mobil Corporation',\n"," 'symbol': 'XOM',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'NMS',\n"," 'exchDisp': 'NASDAQ',\n"," 'name': 'XOMA Corporation',\n"," 'symbol': 'XOMA',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'YHD',\n"," 'exchDisp': 'Industry',\n"," 'name': 'Exxon Mobil Corporation',\n"," 'symbol': 'XOM.BA',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'YHD',\n"," 'exchDisp': 'Industry',\n"," 'name': 'Exxon Mobil Corporation',\n"," 'symbol': 'XOM.MX',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'DUS',\n"," 'exchDisp': 'Dusseldorf Stock Exchange',\n"," 'name': 'XOMA CORP. DL -,0005',\n"," 'symbol': 'X0M1.DU',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'STU',\n"," 'exchDisp': 'Stuttgart',\n"," 'name': 'XOMA Corp. Registered Shares DL',\n"," 'symbol': 'X0M1.SG',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'TLO',\n"," 'exchDisp': 'TLX Exchange',\n"," 'name': 'Exxon Mobil Corporation',\n"," 'symbol': 'XOM-U.TI',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'VIE',\n"," 'exchDisp': 'Vienna',\n"," 'name': 'Exxon Mobil Corporation',\n"," 'symbol': 'XOM.VI',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'},\n"," {'exch': 'BUE',\n"," 'exchDisp': 'Buenos Aires',\n"," 'name': 'EXXON MOBIL CORP',\n"," 'symbol': 'XOMD.BA',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'}]"]},"metadata":{"tags":[]},"execution_count":2}]},{"cell_type":"code","metadata":{"id":"8K6KLyOCL9CP","executionInfo":{"status":"ok","timestamp":1604409830475,"user_tz":300,"elapsed":468,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"10068eaa-dfe3-4904-b5fa-818d6109ec6d","colab":{"base_uri":"https://localhost:8080/"}},"source":["def get_symbol(symbol):\n"," \"\"\"Return exact match for a symbol.\"\"\"\n"," result = [r for r in lookup_yahoo(symbol) if symbol == r['symbol']]\n"," return result[0] if len(result) > 0 else None\n","\n","get_symbol('X')"],"execution_count":3,"outputs":[{"output_type":"execute_result","data":{"text/plain":["{'exch': 'NYQ',\n"," 'exchDisp': 'NYSE',\n"," 'name': 'United States Steel Corporation',\n"," 'symbol': 'X',\n"," 'type': 'S',\n"," 'typeDisp': 'Equity'}"]},"metadata":{"tags":[]},"execution_count":3}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"_wDxiCroKe4d"},"source":["### Yahoo Finance\n","\n","[Yahoo Finance](http://finance.yahoo.com/) provides historical Open, High, Low, Close, and Volume date for quotes on traded securities. In addition, Yahoo Finance provides historical [Adjusted Close](http://marubozu.blogspot.com/2006/09/how-yahoo-calculates-adjusted-closing.html) price data that corrects for splits and dividend distributions. Adjusted Close is a useful tool for computing the return on long-term investments.\n","\n","The following cell demonstrates how to download historical Adjusted Close price for a selected security into a pandas DataFrame."]},{"cell_type":"code","metadata":{"pycharm":{},"id":"ugM0ykkYKe4e","executionInfo":{"status":"ok","timestamp":1604409832484,"user_tz":300,"elapsed":1296,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"427bb379-14a9-48ad-e0b8-289dfe9f8129","colab":{"base_uri":"https://localhost:8080/","height":293}},"source":["symbol = 'TSLA'\n","symbol = 'AAPL'\n","\n","# get symbol data\n","symbol_data = get_symbol(symbol)\n","assert symbol_data, f\"Symbol {symbol} wasn't found.\"\n","\n","# start and end of a three year interval that ends today\n","end = datetime.datetime.today().date()\n","start = end - datetime.timedelta(3*365)\n","\n","# get stock price data\n","S = pdr.data.DataReader(symbol, \"yahoo\", start, end)['Adj Close']\n","\n","# plot data\n","plt.figure(figsize=(10,4))\n","title = f\"{symbol_data['name']} ({symbol_data['exchDisp']} {symbol_data['typeDisp']} {symbol_data['symbol']})\"\n","S.plot(title=title)\n","plt.ylabel('Adjusted Close')\n","plt.grid()"],"execution_count":4,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["

"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"vT41T2BlUp-y"},"source":["Note that `S` is an example of a Pandas time series."]},{"cell_type":"code","metadata":{"id":"KFhofDVYUwlB","executionInfo":{"status":"ok","timestamp":1604410609755,"user_tz":300,"elapsed":317,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"fbb5000c-723a-4780-b178-fb583b0121e7","colab":{"base_uri":"https://localhost:8080/"}},"source":["S"],"execution_count":16,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Date\n","2017-11-06 41.842739\n","2017-11-07 41.977203\n","2017-11-08 42.320599\n","2017-11-09 42.234150\n","2017-11-10 42.094368\n"," ... \n","2020-10-27 116.599998\n","2020-10-28 111.199997\n","2020-10-29 115.320000\n","2020-10-30 108.860001\n","2020-11-02 108.769997\n","Name: Adj Close, Length: 753, dtype: float64"]},"metadata":{"tags":[]},"execution_count":16}]},{"cell_type":"markdown","metadata":{"id":"5iLfbLfjWibx"},"source":["Pandas time series are indexed by datetime entries. There is a large collection of functions in Pandas for manipulating time series data."]},{"cell_type":"code","metadata":{"id":"bHkK6378WyFP","executionInfo":{"status":"ok","timestamp":1604411210624,"user_tz":300,"elapsed":272,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"f99578f9-3204-4ab4-f796-93ffe99275b3","colab":{"base_uri":"https://localhost:8080/"}},"source":["S['2018'].shift(1)"],"execution_count":22,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Date\n","2018-01-02 NaN\n","2018-01-03 41.513580\n","2018-01-04 41.506344\n","2018-01-05 41.699139\n","2018-01-08 42.173893\n"," ... \n","2018-12-24 36.870335\n","2018-12-26 35.916355\n","2018-12-27 38.445637\n","2018-12-28 38.196133\n","2018-12-31 38.215702\n","Name: Adj Close, Length: 251, dtype: float64"]},"metadata":{"tags":[]},"execution_count":22}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"h_E3HjKLKe4k"},"source":["### Quandl\n","\n","[Quandl](http://www.quandl.com/) is a searchable source of time-series data on a wide range of commodities, financials, and many other economic and social indicators. Data from Quandl can be downloaded as files in various formats, or accessed directly using the [Quandl API](http://www.quandl.com/help/api) or software-specific package. Here we use demonstrate use of the [Quandl Python package](http://www.quandl.com/help/packages#Python). \n","\n","The first step is execute a system command to check that the Quandl package has been installed.\n","\n","Here are examples of energy datasets. These were found by searching Quandl, then identifying the Quandl code used for accessing the dataset, a description, the name of the field containing the desired price information."]},{"cell_type":"code","metadata":{"id":"eHst1cE07yIC","executionInfo":{"status":"ok","timestamp":1604409842837,"user_tz":300,"elapsed":4332,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}}},"source":["%%capture\n","capture = !pip install quandl"],"execution_count":5,"outputs":[]},{"cell_type":"code","metadata":{"jupyter":{"outputs_hidden":true},"pycharm":{},"id":"GE77au7sKe4l","executionInfo":{"status":"ok","timestamp":1604410472746,"user_tz":300,"elapsed":282,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}}},"source":["code = 'CHRIS/MCX_CL1'\n","description = 'NYMEX Crude Oil Futures, Continuous Contract #1 (CL1) (Front Month)'\n","field = 'Close'"],"execution_count":13,"outputs":[]},{"cell_type":"code","metadata":{"pycharm":{},"id":"g1aV1OqgKe4o","executionInfo":{"status":"error","timestamp":1604410491033,"user_tz":300,"elapsed":15605,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"52581551-a43d-4065-be62-862b7f53c7fa","colab":{"base_uri":"https://localhost:8080/","height":358}},"source":["import quandl\n","\n","end = datetime.datetime.today().date()\n","start = end - datetime.timedelta(5*365)\n","\n","S = quandl.get(code, collapse='daily', trim_start=start.isoformat(), trim_end=end.isoformat())[field]\n","\n","plt.figure(figsize=(10,4))\n","S.plot()\n","plt.title(description)\n","plt.ylabel('Price $/bbl')\n","plt.grid()"],"execution_count":14,"outputs":[{"output_type":"error","ename":"LimitExceededError","evalue":"ignored","traceback":["\u001b[0;31m---------------------------------------------------------------------------\u001b[0m","\u001b[0;31mLimitExceededError\u001b[0m Traceback (most recent call last)","\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mstart\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mend\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mdatetime\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtimedelta\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m5\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;36m365\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mS\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mquandl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcode\u001b[0m\u001b[0;34m,\u001b[0m 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To make more calls today, please register for a free Quandl account and then include your API key with your requests."]}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"zcVXG3pGKe4s"},"source":["## Returns\n","\n","The statistical properties of financial series are usually studied in terms of the change in prices. There are several reasons for this, key among them is that the changes can often be closely approximated as stationary random variables whereas prices are generally non-stationary sequences. \n","\n","A common model is \n","\n","$$S_{t} = R_{t} S_{t-1}$$\n","\n","so, recursively,\n","\n","$$S_{t} = R_{t} R_{t-1} \\cdots R_{0} S_{0}$$\n","\n","The gross return $R_t$ is simply the ratio of the current price to the previous, i.e.,\n","\n","$$R_t = \\frac{S_t}{S_{t-1}}$$\n","\n","$R_t$ will typically be a number close to one in value. The return is greater than one for an appreciating asset, or less than one for a declining asset."]},{"cell_type":"code","metadata":{"pycharm":{},"id":"jc-szwdUKe4s","executionInfo":{"status":"ok","timestamp":1604410534574,"user_tz":300,"elapsed":1321,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"84ea4ab9-1e89-49a6-d50e-f05e46eda15e","colab":{"base_uri":"https://localhost:8080/","height":369}},"source":["symbol = 'AAPL'\n","\n","end = datetime.datetime.today().date()\n","start = end - datetime.timedelta(3*365)\n","\n","# get stock price data\n","S = pdr.data.DataReader(symbol, \"yahoo\", start, end)['Adj Close']\n","R = S/S.shift(1)\n","\n","# plot data\n","plt.figure(figsize=(10, 5))\n","plt.subplot(2, 1, 1)\n","S.plot(title=symbol)\n","plt.ylabel('Adjusted Close')\n","plt.grid()\n","\n","plt.subplot(2, 1, 2)\n","R.plot()\n","plt.ylabel('Returns')\n","plt.grid()\n","plt.tight_layout()"],"execution_count":15,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"I8HwuMvTKe4v"},"source":["### Linear fractional or Arithmetic Returns\n","\n","Perhaps the most common way of reporting returns is simply the fractional increase in value of an asset over a period, i.e.,\n","\n","$$r^{lin}_t = \\frac{S_t - S_{t-1}}{S_{t-1}} = \\frac{S_t}{S_{t-1}} - 1 $$\n","\n","Obviously\n","\n","$$r^{lin}_t = R_t - 1$$"]},{"cell_type":"code","metadata":{"pycharm":{},"id":"oeBI3DgNKe4v","executionInfo":{"status":"ok","timestamp":1604370962730,"user_tz":300,"elapsed":1361,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"50eafd3b-2f91-45fb-d9de-3503873d3b7e","colab":{"base_uri":"https://localhost:8080/","height":369}},"source":["symbol = 'AAPL'\n","\n","end = datetime.datetime.today().date()\n","start = end - datetime.timedelta(3*365)\n","\n","# get stock price data\n","S = pdr.data.DataReader(symbol,\"yahoo\",start,end)['Adj Close']\n","rlin = S/S.shift(1) - 1\n","\n","# plot data\n","plt.figure(figsize=(10,5))\n","plt.subplot(2,1,1)\n","S.plot(title=symbol)\n","plt.ylabel('Adjusted Close')\n","plt.grid()\n","\n","plt.subplot(2,1,2)\n","rlin.plot()\n","plt.title('Linear Returns (daily)')\n","plt.grid()\n","plt.tight_layout()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAsgAAAFgCAYAAACmDI9oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdd5hU5fXA8e+Z2d4ry1J2l947CII0xa7RaOxGY43ll5gYUzWaxMQYSxJNjLFGE1usGBVBbIgiVXpvu8CyhS1srzPn98cdtsACC+zubDmf59mHmXvv3DlzmJ179p23iKpijDHGGGOMcbj8HYAxxhhjjDHtiRXIxhhjjDHGNGAFsjHGGGOMMQ1YgWyMMcYYY0wDViAbY4wxxhjTgBXIxhhjjDHGNGAFsjHGGGOMMQ1YgWyMMR2EiHwuIoUiEtzEvj4i4hWRJ5vYpyJSJiKlIpIpIn8WEbdvX7qIzGqL+I0xpqOwAtkYYzoAEUkDpgIKfKuJQ64BCoHLmiqggVGqGgGcBlwJ3NQ6kRpjTMdnBbIxxnQM1wCLgReAaxvuEBHx7b8HqAHOP9xJVHUTsBAY3lqBGmNMR2cFsjHGdAzXAC/7fs4UkaQG+04BegGvAa9zUAHdkIgMxWmJXtl6oRpjTMdmBbIxxrRzInIKkAq8rqorgO043SQOuBb4UFULgVeAs0Sk20Gn+UZECoH3gGeBf7V+5MYY0zFZgWyMMe3ftcBHqprnu/+KbxsiEgpcgtOyjKp+DeyicQENMFZVY1W1n6reo6retgndGGM6HlFVf8dgjDHmMHwFcDbgBkp9m4OBGGA0MAynOM4DPL79McBGVR3jO4cCA1R1WxPnTwduVNWPW/FlGGNMhxLg7wCMMcYc0YU4he8IoLrB9tdx+iUPB54H7m6wryewTERGqOraZjxHoIiENLhfq6q1Jxa2McZ0XFYgG2NM+3Yt8C9V3dVwo4j8HaflWIAxqprdYHe2iMz1PfauZjzHnIPu/wFnRgxjjOmSrIuFMcYYY4wxDdggPWOMMcYYYxqwAtkYY4wxxpgGrEA2xhhjjDGmASuQjTHGGGOMaaBDz2KRkJCgaWlp/g6jTZWVlREeHu7vMPzKctCY5aOe5cJycDDLRz3LhcPyUK+r52LFihV5qprY1L4OXSCnpaWxfPlyf4fRpj7//HNmzJjh7zD8ynLQmOWjnuXCcnAwy0c9y4XD8lCvq+dCRDIOt8+6WBhjjDHGGNOAFcjGGGOMMcY0YAWyMcYYY0wXsy23lJ8uKGfv/gp/h9IuWYFsjDHGGNPFvLJkF/sqlDeW7/F3KO2SFcjGGGOMMV1MWJAbgKwia0FuihXIxhhjjDFdzF5fYbx9X6mfI2mfrEA2xhhjjOliDvQ9Lq6o9XMk7ZMVyMYYY4wxXUhFtYcNe4sBKKms8XM07VOHXijEGGOMMcY0j9er1Hi9vLMyk+LKWlIiXRRWWgtyU6xANsYYY4zp5JbsyOenb64hv7SKblEhDOsRRd/QCt7fUYPXq7hc4u8Q2xXrYmGMMcYY00mpKv/4fBuXPb2YXQXllFV72JlXxvVT+hAWIKhCWXXLtiLvL6+mrKpjt0xbgWyMMcYY00l9sTWPh+Zu5qQ+cfRLDCc1PozxqbGcNyqZUF8/gpIW7mYx+nfzufjJRS16zrZ21C4WIhIG/ARIUdWbRGQAMEhV32/16IwxxhhjzHHb4ZvG7Z9XjyMuPKjRvrAAp1tFSxbIucWVAGzKLmmxc/pDc1qQ/wVUASf77mcCv2+1iIwxxhhjTIvIKa4i0C3EhgUesu9AC3K2r6htCYt3FtTdXrV7f4udt601p0Dup6oPATUAqloOWE9uY4wxxph2Lre4km6RIYgcWrpFBjnbbn1pRYs93+Id+XW3L3ziK1Z30CK5OQVytYiEAgogIv1wWpSNMcYYY0w7llNSSbeo4Cb3pUa5mD4wkfJqT4utqLd4Rz4zByXy1q2TCQ108/KSjBY5b1trToF8HzAX6C0iLwOfAD9r1aiMMcYYY8wJyymuIikypMl9IsIDF40A4OMNOSf8XLkllezYV8akvvGMS43lgtE9mL1qLxn5ZdR6vCd8/rZ01AJZVecDFwHfA14Fxqvq560bljHGGGOMORFlVbWk55XRNzH8sMf0jAllaHIUn2zM5foXlvHvr9Obff5l6QWk55VRWeOhpLKGJTuc/seT+sYD8KNZAwl0CdMf/pwxv5vPioxCwFm9L9O31HV7ddQCWUSmAJWq+gEQA/xKRFJbPTJjjDHGGHPcXl26i1qvMqFP3BGPmzWkG8szCvh0Uy73vrsegK05JUfsdrFjXymX/PNrbvz3cm7+zwqufnYJC7bsIyokgGE9ogDoHh3Cj08fCEBJVS0/fXM11bVeTn10AVMe/JTKGk8LvdKW15yV9J4ERonIKOBO4Dng38D01gzMGGOMMcYcmyc+28bcddmkJYTzwZq9RIUEMD419oiPOW1IEo9/uq3u/tKdBVz61Nd0jwph8a9OO+T4+RtyuOnfywHYllvKtlynkF69p4gLRvcgwF3f/nrt5DQ2Z5cQFRrIc1/uZOIDH1NYXgPA4F/PZccD57TLVfyaUyDXqqqKyAXAE6r6nIjc0NqBGWOMMcaYI1uRUcjiHfncPrM/tR4vzyzcQUiAm7zSKlLjw3njlpOJDDl0ireGRvSMpltkMLklzhwM9767DnCmf8srrSIhon6QX+b+irri+ACXgFed2zdP69toX6DbxcOXjAJgeM8oFm8vYPaqTKpqnT7JRRU1xB40P3N70JwCuUREfgl8F5gqIi7gyJk2xhhjjDGt7oqnF1Pt8ZIQEcQjH21hf3kNT1w5gnNHJjf7HC6XcNqQbry6dDfgLPJxoW+A3ebsEhL6OwWy16vc9fpqwoPc/OyswVTVenhgzib+79QBPP7JVm6e1pdhPaIP+zzfHtOLb4/pxbkjk7nm+aUA7Cut6rAF8mXAlcD1qpotIinAw60bljHGGGOMOZpq3+wQP39rbd22sakxx3ye22b0p3+3SO5/fwPBAS7uPncos1ftZUVGIVP6J3DJPxehCsszCrn3vKFcOzmNGo+XvgkRnDq4G+eNTKZfYkSznis5un5WjdziKgYmRR5zvK3tqAWyryh+GZggIucBS1X1360fmjHGGGOMORxVxe0SPF5l+sBEFmzZB0D3qKandTuS3nFh3HBKH04fkkRIkIvEyGDGp8bywZosLh7Xi2XphXXHHpilItDtYtbQJIBjKnJ7xYbV3d5X2nKr+LWk5sxicSmwFLgEuBRYIiLfae3AjDHGGGPM4f32vQ14vMpDF4/kxetPqtve1Kp5zZUSH0Y337zJpw7pxuacEh6au6nRMX0SDj9tXHOEBrlZ+5szAFi4JY+P1mdTXFlzQudsac3pYnE3MEFVcwFEJBH4GHizNQMzxhhjjDFNm7sumxcWpXPVxBQuHtcLgMcuH01UaMsNExvS3Zmu7d1Ve+u2hQW5CQ1yn/C5I4IDSI4O4e2Vmby9MpO5P5pKVPf2M8StOQWy60Bx7JNP81bgM8YYY4wxLWzv/gp+/tYaRvaK5r7zh+H2TZN2weieLfo8g7o73SaiQgL4+dmDufuddYzqdez9m5siInx853Ryiispr/aQFn9irdItrTkF8lwRmYezih44g/bmtF5IxhhjjDHmcO59dz21Hi+PXT6GoIDWa7NMjg5h6oAELhjdk7OHd2fHvjJun9m/xc4fHhxA32YO7GtrzRmk91MRuRiY4tv0tKq+07phGWOMMcaYpmzMKubM4d1PuC/w0YgI/7lhYt39X583tFWfrz1pTgsyqvoW8FYrx2KMMcYYY46iuLKG6Bbsa2wOddh2eREpEZHiJn5KRKT4aCcWkedFJFdE1jXYFici80Vkq+/fWN92EZHHRWSbiKwRkbEt8/KMMcYYYzoPr1cpraol6iir45kTc9gCWVUjVTWqiZ9IVY1qxrlfAM46aNsvgE9UdQDwie8+wNnAAN/PzcCTx/pCjDHGGGM6u5KqWlQhMqRZnQDMcTpSC/IEETm7ie1ni8i4o51YVb8ACg7afAHwou/2i8CFDbb/Wx2LgRgRaf4aicYYY4wxXUCJb77glpzOzRxKVLXpHSKfAtepasZB21OBf6nqqUc9uUga8L6qDvfd36+qMb7bAhSqaoyIvA88qKpf+vZ9AvxcVZc3cc6bcVqZSUpKGvfaa68197V2CqWlpUREtM8Rn23FctCY5aOe5cJycDDLRz3LhaOj52FXsYd7F1Xyf6ODGd/9xFqRO3ouTtTMmTNXqOr4pvYdKbORBxfHAKqaISIJJxqUqqqINF2dH/lxTwNPA4wfP15nzJhxoqF0KJ9//jld7TUfzHLQmOWjnuXCcnAwy0c9y4WjveehqLyG/RXVJEWFcNcbq5mQFse1k9Pq9i/ekQ+LFjN5/Ggm9z+xcqy958KfjlQgxx5hX9gR9h1Jjogkq2qWrwvFgQVIMoHeDY7r5dtmjDHGGNMllFXVcsqfPqWkqpahyVFsyCrm/TVZ7Cup4q4zBwFQXOF0sYi0QXqt6kizS38sIn+QBgt6+2ab+B3w6XE+3/+Aa323rwXebbD9Gt/5JwFFqpp1nM9hjDHGGNMh1Hq8PPflTm57eQU/e3MNJVW1AGzIKubak1MBeGdlfZthTkkVAFGhNkivNR0puz8BngW2icgq37ZRwHLgxqOdWEReBWYACSKyB7gPeBB4XURuADKAS32HzwHOAbYB5cB1x/xKjDHGGGM6mP8szuD+9zfQPSqE7OJKhvWI4qHvjCSnuJJTBycRFODixa8zKK+u5U8fbuLFrzMYmBRBr9jj/TLfNMdhC2RVLQOuEJG+wDDf5vWquqM5J1bVKw6z67QmjlXg9uac1xhjjDGmM9iUXcxv39tA/24RfHzndPaXVxPgdhERHMCwHtEApMaHU13r5epnl/DNrv0A3Di1L26XHOnU5gQ1Z6npHUCzimJjjDHGGHN0q3bv57vPLgHgnOHdAYgJCzrkuAPLSX+zaz9p8WGk55dz5rDubRdoF2UdWIwxxhhjWsk/F2xn3vpsbjylL+eOTOaj9dlsyi7hmS92EBMeyPPXTWBUr5jDPv7kvvHcPrMfQW43Pzi1P6XVtopeW7AC2RhjjDGmFXi8yoMfbgLg9le+oap2FHe+vhqAtPgwXrlpEj1iQo94DpdL+OmZg+vuW3HcNg5bIItI3JEeqKoHr5JnjDHGGGN8/rtsd6P7d76+mrEpMTxyySh6xoYSHOD2U2TmaI7UgrwCUECAFKDQdzsG2AX0afXojDHGGGPauUfmbSY6NJCbpvVl9e79vLAonczCCpamFzB1QAKPXjqKk/7wCX0Twnnu2gnEhh/a19i0L0eaxaIPgIg8A7yjqnN8988GLmyb8Iwxxhhj2q8aj5e/f7YNgJum9eX5r3by7qq9AKTEhfH3K8YSHRbIU98dx6heMVYcdxDN6YM8SVVvOnBHVT8UkYdaMSZjjDHGmA5hzZ6iutvpeWUs3JrHt8f05PaZ/YgODSI6zOkzbDNPdCzNKZD3isg9wEu++1cBe1svJGOMMcaYjmHxjvy62zMe+ZywIDeXT+hN/26RfozKnKgjLTV9wBVAIvAO8Lbv9uEWATHGGGOM6fRUlRUZhcxZm1W3bWSvaD67awYT+8b7MTLTEpqzUEgBcIeIhPtW1zPGGGOM6dKeWbiDB+ZsQgTuO38oKXFhTB2QSFBAc9oeTXt31AJZRCYDzwIRQIqIjAK+r6q3tXZwxhhjjPGvyhoPJZW1JEYGA87cvqt272dsSgy1XuXSp74mNS6M66b0YVTvGIoqaogO7bxz9Xq8yitLd/HAnE0M7xnFSzdMbHIFPNOxNacP8l+AM4H/AajqahGZ1qpRGWOMMaZduOO1lcxbn8Pz3xvPqYOTePDDjTyzcCfnjUxm4dY8iipqWLlrP7NX7eWMoUl8tCGHn545iNtn9vd36MfN41UWbt1HcICbnjGh9IwNZe/+CrbmlvDQ3M1syi4BYOqARCuOO6lmraSnqrtFpOEmT+uEY4wxxpi2kp5XxuId+QzrEc1tr6wgJS6MfokRzFmbRXJ0KI9eOop563MAWJZeSJDbzTMLdwIwZ20WXoWYsEDm/Wgaz325k+e/dPY9PG8z101JIyyo/S/YW1JZw/wNOZwzIpmQQDeFZdXc9O/lLM8orDvGJeBV53ZKXBh/u2IMsWFBjE+L9VPUprU1552729fNQkUkELgD2Ni6YRljjDGmNa3IKOTiJxfV3Y8PD2J/eQ2vLNnF8J7RbMgq5tKnvq7bvzm7hPKqWsKC3Cy9exYugQCXi7KqWmLDg/jVOUO48qQUluzM5+dvrWX+hhwuGN3THy+t2RZtz+Ou11ezt6iSr7fnc9WkVH76xmq25pYC8NMzBxETFsj6vcX0S4wgOTqEWUOSrJ9xF9CcAvkW4DGgJ5AJfARY/2NjjDGmg3p24Q7+MGcjveNC8Xphb1EFj146ihmDuuH1Ki6X8M7KPfz4v6vpFhnMxL7xfLQ+myC3i3GpsUQE15cPQQH1XQzSEsLpHRfGPxfs4J8LdnD+yB64XNJUCH5XXevl1pe+IT48iHNGdOeNFXt4Y8UeggJc/PDU/lw4pid9EyP8Habxk+YUyINU9aqGG0RkCvBV64RkjDHGmNZSXevlic+2Mbh7FC/dcBKxYUHklFSSHB0KUFfQfntML/aVVBEdGsig7lEA5BRXcvWk1COe3+0SfnBqf+58fTUfbcjhrOH1C2TsLihn8Y58Lhnfu5VeXfPN35BDUUUNf71sNBP7xhEfHkxWUSW3zujHuFTrOtHVNadA/hswthnbjDHGGNMOzVmbxZ8XV/BV2Qae+3InXoXHrxhDfIQzM8WB4vhgN0/rV3f7b1eMafbzfWtUD/726TYe+2QrZw5LQkT4ens+VzyzGIAp/RPoEdP0c7aF3QXl3D17LYOSIjllQAKBbhf3Xzjcb/GY9uewBbKInAxMBhJF5M4Gu6IAd2sHZowxxpgTty23hNte/sa5vXAnIYFON4lT+ie02nMGuF3cOLUPd7+zjjeW7+HSCb3rimNwVp+7aGyvVnv+ppRV1fLConRSa5RfvbMWj0d56rvjCHRbf2JzqCO1IAfhzH0cADRcL7EY+E5rBmWMMcaY45dfWsWLi9LZklPKl9vyiA8P4uZhLr512mS6R4WgCgfNTtXipg1IBOBnb62hb2J4o30vLc7gwtE9W7R/cq3HS8ARit0XFqXz8LzNvnvl3Hf+UNISwg97vOnaDlsgq+oCYIGIvKCqGQAi4gIiVLW4rQI0xhhjTPNtySnhztdXsS6zmN5xoZwxNInbT+3P7vXL67pStHJtDECv2PouFP9ZnFF3+6xh3Zm7Ppsvt+Xx0YZsfjRrIAm+rh7Hq6rWw/j7P6akqpY7ThvAj08fCECNx8u23FKqar28vnw3AGlRLn5z8TimD0w8oec0nVtz+iD/UURuwZn7eBkQJSKPqerDrRuaMcYYY45mc3YJS3fmEx4cwJIdBby+YjcCPHPNeE4fmlR33O42jktE+OKnM5n28Ge8u2ov0aGBrLhnFhU1Hj7dlMvP31pDVlEl5VUeHr101Am1aG/PLaOkqhaAxz7ZSniwm5um9uXRj7bwzwXb6477xdmDGay7mTGo2wm/PtO5NadAHqqqxSJyFfAh8AtgBWAFsjHGGOMnlTUeHpm3mee/2lm3iIVL4HuT07h+Sh96x4X5N0AgJT6MyOAASqpqmTYwkQC3i0i3i6kDEvhkUy4Ab6/MZN3eIub9aNpxF8mbsp0vtv/3f1P454LtPDBnE29/k8mm7BLGp8aSFBXCB2uzmDYgkdwtbf2ngumImlMgB/oWCLkQ+Luq1oiItnJcxhhjjGlAVflmVyEjesZQXl3LXW+s4eONOVw5MYUbT+lDVa2XyJAAesX6vzBuKDEqmJJ9tcwcVN+l4azh3esKZIAtOaXsKaw4rqJ+WXoBzy7cSXCAi6HJUTxx5Vh+8OpK3l+TBcC1k9M4Z0Qyt87ox9AeUeRuOfHXZDq/5hTITwHpwGrgCxFJxRmoZ4wxxpgTUFhWzaLt+aTnlzG5XzxjUmKprPHw0YYcluzIJ8AlnD60O1P6x/PGij387M01JEUFU+NRCsqq+fGsgdwxa4C/X8YRPX75GFbt3s95I3vUbTt9aBIBLqHWW9/etnrP/mMqkCtrPNz1xmreX5NFYmQwj1wyqm6Q3hnDuvP+miyunpTC+aOc5x3eM7qFXpHpCo5aIKvq48DjDTZliMjM1gvJGGOM6byyiipYuCWPl5ZksGZPUd32QLdwy/R+zF6Vye6CCgDCg9y8+HUGfRPDKSqvoV9iOJEhgRRX1vCPq8YyqW+8v15Gsw3vGX1IcRoTFsQ5I5L53+q9ddvW7ClqVEQfSVZRBec9/iX5ZdX88NT+3DKjH2FB9SXN2cO7c/c5Q7j8JP8vSGI6pqMWyCJy72F2/a6FYzHGGGM6HVUlPb+crKIKHpizkXWZ9V/CRgQH8MRVYxmUFMn3/7Ocv326jb6J4Vw1MYWpAxKZMSiRN1fs4Z7Z6wB48upxnNQnzl8vpUU9fsUYZgxK5M7XVwOwevf+Q47ZlF3MS4sz+O23huNuMCXcw/M2k19WTVRIAHeeMeiQxwW6Xdw0rW/rBW86veZ0sShrcDsEOA/Y2DrhGGOMMZ3H0p0F3PrSCvLLqgGIDAngV+cMZuqARFLiwggPrr8Mz759CnuLKukWGdxo8YqrJ6VSUe0hNT6s0xTHBzSc3m3JzgJeXbqLy8b3rpsf+c7/rmZDVjGJESG8uyqTM4d358ezBvLpplzCgtz89/sn+yt008k1p4vFow3vi8gjwLxWi8gYY4zpwFSVtZlFBAW4+OeC7bhcwoMXjSAhIphB3SMP289WROh5mOWXO2traHhw44V5f/n2WmJCAzl7RDK1Hi+5JVUA/OVjZ2Tda0t3MT41lv3lNTx7zXiGJEe1ecyma2hOC/LBwoC2XR/SGGOM6QCWpxfwkzdWk5FfXrft+9P7cvlJKX6Mqv3qlxgBwI9nDawrgv/44SYm90/g1aW7yCt1CuST0uKYPiiRh+dt5oYXlxMVEsA0W+jDtKLm9EFeCxwYZuoGErH+x8YYY0ydzdkl/GX+FuauzyY5OoQ7ThvAY59sBeDqial+jq79igkLIv3Bc/F4ta5A3lVQztfb89mw1+mr/f4PTmFYjyiWZxTWPW5K/wSCAg6/rLQxJ6o5LcjnNbhdC+Soam0rxWOMMca0a2+t2EN2cSXx4UHEhgcxf0MOb3+zB6/ClP7xPHLJKJKjQxmSHEVEcEC7WLCjvXO7hHk/mkZYkJupD33G9n2l5JZUMiEttm4GjNG9Y7hlej8CXMKVE61F3rSuwxbIIhKlqsVAyUG7onwLhRSrqqdVozPGGGPakYz8Mn7yxupG24IDXFw/pQ9XT0qlV2xo3Vy8Zw3v7o8QO6xB3SMBSI4OYXtuKdlFlYzoFVO3P9Dt4hdnD/ZXeKaLOVIL8is4rccrcLpYHLz+Y4SIPKOqv2qt4IwxR6eqeLzaaAqkY7Fw6z6e+3InD31nJN0iQ1o4OmM6vi+35rF4Rz4BbmHBln24XcKnP5mOS4QtOSWMS40lJizI32F2GsN6RPPB2ixqvcoZw+yPDOMfhy2QVfU83799mtovIm5gHWAFsjF+8PKSDP7+6Tb2lVTC/A+547QB/OA0Z0WtvNIqXl68i+9NSSM6NPCQxxaUVfP2N3tYuXs/H/iWY73v3fXcc95QnvhsG9ecnMrg7jY63HQ+m7KLeWTeZq6elMr0gYks2VnA+r3FXHNyKoFuF2VVtdR6lNySSu6ZvY7dBeVkF1fSYME37jt/KKnx4QDWfaIVPHDRcO5+Zx3zN+TQJyHc3+GYLupIXSzGHumBqvoNMKTFIzLGHNW/vtrJb9/bwElpcYyJ81AWGMOj87fgcglRoYH82reowAdr9/LsNRNIig5mX0kVIsLLizP4x+fbAegZE8rFY3sRFx7IMwt38uG6bAC25ZYyNDmKi8f24uUlGZw3sgc9YkL4clseS3YUcN+3hta1Nq/IKGTO2izuOXcIIsfXim1MW3nmi518vDGXr7blEx7sJq/UmZ/40005dIsM4Z2VmXWDv6prvXWPe+mGiYQHu9mWW8ol4211ttbULTKEp787jo1ZJQxIivB3OKaLOlIXiwPzH4cA44HVON0sRgLLAZud25hWVFHt4XfvrycxIphJfeMJDXKzfm8xX2/PZ866LGYNSeLJq8fy1cIvmDRlHLe//A0Pz9tc9/hBSZFkFVVw7uMLCQpw1S1UcMCDF42om3rK61Um9oknq6iCX7+7nqU7C1i6s4AXFqUD8Nqy3Y0e+8HaLP586SjOGt6di59cBMD1p/Q57ByuxhwLVSWnuIru0c3r8rNhbzEllTVMPMyyy5uzS5i7LpvM/eX8b3UmE9JiERFS48IY0Sua7KJKnl24k+iwQFzi/O4MTY7irjMH8cKincSEBjGlfzwiwpiU2JZ8qeYwRIShPexbLOM/R+piMRNARN4GxqrqWt/94cBvTuRJRSQdZ/CfB6hV1fEiEgf8F0gD0oFLVbXwcOcwpjNTVR77ZCuvLt2NS+DxT7fV7UuKCuaaSan87KzBdatthQS6ee57E1iXWcR7q/dy9ohkRvWKZndBBQ/N20SNx0vm/gpO7hvPtZPTCA5wkxhZv4KVyyXMGpoEQGWNlz/M2cjkfvEkRATjVeXjjTlceVIq3xrdgwuf+AqAO19fzW/f21B3ji3ZJfSMCUVVrSXZTyprPLy2qZp/bPqaWUO7cdn4FKLDDu1i095syy0hq6iSQd0jWbyjgN+/v4Hckir+939TGNlgkBY4fzi+tmwXV05MYdG2fJ78fDtL0wsAmPejaQzqHklGfhmzV+5leM8oiiq93PXsYvJKq4kLD2JK/wT+culoYsMb9xm+64xBuFxyyPv3p2faoDBjuqLmTPM26EBxDKCq60SkJbpWzFTVvAb3fwF8oqoPisgvfPd/3gLPY0y75PUq/1u9l/V7i8grrWZAUgSZhRXkllSxavd+9pVUcdn43tx93hBWZBTi9Sr9uwN14voAACAASURBVEWQEhd22AJ0eM/ouimRAFLiw/j7lUfsLXWIG07pQ4+YUManxZIU5bTgVdZ4CAl0Vrz6+M7pBAe4+HBdFi8t3sXMQYnMXuW8jtT4MM7725dMH5jIE1eOrVsu1rSswrJq9lfUMHtlJp9tzuWak9MY3D2S+RtymJteAxSwNL2AF75K55OfzCA0yH3Uc7a0DXuL2bavlIFJEQzuHkVljQePV1maXsD6zCLcLqe/b1l1LS8uSm/Ux/eAP3ywkddunoSIUFZVS2igm38t2slDczfX/XHWMyaUM4clMW99DvfMXsvW3FL2l9c0Ok+AS3j/B6c0+t042IH3qv1xZ4yB5hXIa0TkWeAl3/2rgDWtEMsFwAzf7ReBz7EC2XRi/1qUzv3vbyDI1wpc7XH6O/ZNCGdq/wTGpcXynXG9CA5wM3NQtzaLy+USzh2Z3GjbgeIYoH83p0/gzdP6cfO0fgBs31fGY59s5a8fb6XWq3y4Lpv/LM7g2slpbRZ3Z7S7oJzdheX0jAklJS6M0qparn9hGcvS679ccwncddC0Y1//8lTWZxZz47+Xc/pfFvDf75/c4t1fvF4lc38FVbVeokIDCHK7WLyjgMTIIJ7+Ygfz1ufUHTulfzwb9hZTeFDhesBVE1MY3TuGvNJqJveLJykqhLnrsvjNext465tMTu4Xz1l/+YLEyGAqaupnF/3OuF488O0RBAW4OPWRz1meUUhwgIvk6BD+ctloajxeXpz/DWeeNPSIxbExxhxMVJv4s73hASIhwK3ANN+mBcCTqlp13E8qshMoxJk+7ilVfVpE9qtqjG+/AIUH7h/02JuBmwGSkpLGvfbaa8cbRodUWlpKRETXHrTQWXLwy4XlBLuFe08OocYDWWVeeke6jnm6tvaQj9Jq5ek1VazJ83BmWgBZZcqGfA/3TgohJartWi/bQy6ao9rjfO4GuQ/9v66oVdblefh0Vw0bC+oHiQn1S5qe2yeQnpEuYoKFgbEuNhd4qfIoz6ytYniscvu4CFSVN7fUMD+jhuhg4b6TQ4kIOv7W0dJqpaRaSQgTar1w95cVFFQ2ff0IccNZfQIZlxTAkqxa5qbXEB4o9I9xMaNXAGnRbrbt95BTpvSPddE/5tD3iFeVB5dWsqXQS1gAlNdC93AhyCUMiXcRHiiclhJIeKDzmrLLvHgVekS4GnWT6CjvibZguXBYHup19VzMnDlzhaqOb2rfUQvkQx4gMhW4XFVvP96ARKSnqmaKSDdgPvAD4H8NC2IRKVTVI46GGD9+vC5fvvx4w+iQPv/8c2bMmOHvMPyqpXKgqny9PZ+sokpOH5ZEVEhgq/Wf9XiVN1fsZu/+Sm6Y2oeqGi8T/vAxd58zhJum9T2hc7eX94TXq2zKLmFIciQFZdWc/dhCIoIDePiSkczfkMv1U9LoFtW68yy3l1wczaVPfU1WUQVz75hGeLDzRV5xZQ0rMgq56/XV5JdV0zMmlMsn9KZbVDDZRVXUer2EBrkZ3D2SUwcnNXneyhoPXy38gtNOnVm3beWuQi7559ecP6oHd54+kG25pce0TO+23FJmr8zkxUXplFTVEhbkRoCyag8Xje3JxD5xFJbX8MSn2/jW6B70jA3ligkpjfr41nq8uF1yzL9buwvKmfrQZwA8d+14ThvS9Os+ko7ynmgLlguH5aFeV8+FiBy2QG5OFwtEZAxwBXApsBN4+0QCUtVM37+5IvIOcBKQIyLJqpolIslA7ok8h+k6iitr+GRjDr1iw4gNCyIhIoiI4AAC3C6qaj2k55VTXFlDaKCbhIhgar1eHv1oC8vSC9hTWAFA8Dsu4sODyCurZkJaLN8a1YNukSGc3C++UfeCpuzKd0bGb8gqZktOKapKaJCbimoP+WXVBLpdVNd6Kapwvl6eszarrpV4bGrnGRHvctWPOo+PCObvV47l6ueWcPGTXwPw8cYcXr1pUqPBgV3JrvxyFmzdx4p0Z4YQgDH3z6d/YgRhQW5W7CpEFXpEh/DCdROY3K/5RewBIYHuQ76BGJMSy+0z+/PYJ1v5ZGMOxZW19IwJ5eFLRlJcUcOsIUl1K78dbO/+Cs7720Kqa71M6hvPqYO7sX5vMdGhgZzSP6FuYCfAjaf0Oex5Drf9aHrHhfHmLSezr6TquIpjY4w5XkeaB3kgTlF8BZCHM8OEHJjd4niJSDjgUtUS3+0zgN8B/wOuBR70/fvuiTyP6dy8XmVDVjErd+/n5cUZbMpuvCJ6QkQQqhwytdkBIYEuZg7qxg9O7U/vuDDmrcumqKKGoooaVu8p4qttdeNSuWB0D84ensywHlF8sXUfW3NK2ZJTwrbcUk4ZkMC7q/bi8SpBbhfVHi8T+8QRHhxAVa2HHjGhJEeHEOB2cbJvCqrnvtzJnsJyxqTEMLxn553G6KQ+cdwyrS+Pf7qN66ak8drS3dz8n+W8c9uUQ44trarlzx9tYdaQbkzun+CHaFuP16u8vnw398xeR61vJFpCRDC//dYwlqUX8MqSXXSPDuGW6f0YnxrL+LS4Jhd3ORG3z+zPvPXZ5JZU8dDFI/nbZ1u58pklANxx2gB+fPrAQx5T6/Fyz+x1eLzKx3dOp2/ikb+GPd4i+GjGp8W1ynmNMeZIjtSCvAlYCJynqtsAROTHLfCcScA7vq/aAoBXVHWuiCwDXheRG4AMnNZq00401fXA61UWbNnHsvQCEiKC+a5vJaq2cO//1vHS4l2AM4r9N+cPpV+3CNZlFrM1t4RajxIS6CI5OpRuUcH0jAmlssZLflkVewormNwvnqkDEuvON7lffVFWWeNh+75SVu8u4t9fp7Nwax7vrtpbt18E+idGkFtSxdvfZDJtYCJ/vGgE0aGBrNq1v26+1MM5f1SPlk9IO/XD0wYwdWAiE9Li6BEdyh/mbGR3QXnd6mNPLdjOwq155JVWsSm7hPV7izpVgZxTXMmtL63gm137OaV/Ar+/cDhhQW5CgtxEhQRy7shk7jhtAFGhgce9VHhzBAW4eOOWk6n1KLHhQZwxLInfvreBd1Zm8tgnW/l6ez5x4UHERwQRFRrIHacN4PFPtvLpplx+f+HwoxbHxhjT2RypQL4IuBz4TETmAq/hjBM5Iaq6AxjVxPZ84LQTPX9bqKzxUFheTbfIkCYval6v4lEl4Bj63Kkq6zKLiQkLJDk6BBE57AVTVVF1vtKu9XiZvWovFdW1FFXU8OrS3UQEBzCoeyRpCeFccVJvkqOPf/T60p0FPPHZNr7clkev2FBmDupGXHgQFTUelu4sYEVGIW6X4PEqf5izkZG9ojl/ZA+mDUysm+2gua8/q6iSzTklPP/lTkID3Tx+xZgmuzes2VfLSyt2ce7IZH5x1mB6xYbW5blh0Xu8QgLdDOsRzbAe0Vw5MYVaj5evtuezbGcBk/rGM6lvHAFuF/tKqqiq9dArtn6p2VMGdJ7iriUEuF1M8LUAnjqkG3+Ys5HT/ryAF66bwNacUv744SZcAhHBAcwclMiCLfv4/fsb+NlZg4+5e0FL+mZXIXsKKzh3RHKTv4cer5JfVsWXW/PYvq+U9LxysooqqKzxklNcSY+YUGYNSeKlJRmUVdXywLdHcMn4Xk3+AXnwfLytJTKkvlU6JiyIv1w2mvsvHM7DczexIauY7ftKmbehFFX4eEMOWUWVnDsymasnpbZJfMYY054caaGQ2cBsXzeIC4AfAd1E5EngHVX9qI1ibFfuf38Ds1dm+vqWCj1iQvne5DTOG9mDhIgglqUXcvsr37CvpIrQQDcpcWFcOKYnY1NiGJwcVffVqcerfLYpl/T8MooranhzxR72FlUiAm4RwoMDuHxCby4e14vQQDdJUSEsTy9gzs5qfrPsczIKyokIcv77Sqpq6+LrGRNKUnQIK3cX8v6avbyzcg+/v3AEU/snHHVO2g17i/nLx1tIjAwmMjiAao+XFxalEx8ezHcnpfL+mqy6ldUO+P70vvzotIEs2p7Hwq15LN1ZwO/ed+Ynfeq745g6IIFH5m3horE966ZZUlWe/yqd/NIq7jpjEPd/sIG567LJKqpsdO5Xl+7iuil9Gm3zepUX1jvdJv5vZv+6lsjWFOB2MX1gItMHNi6+u2pf2uPVLzGCBy8awZ/nb6n7eh/g5RsnMbJXNDUeL3fPXsezX+4kONBFWnw4tV5lW24pvzpnSKu2sB6gqvx32W5++c5aVOHheZsYmxJL1v5KymtqCXS7qKzxkl1UUTdlmdslxIUHsa+kikl94xjVO4ll6YX85eMtpMWH8fKNExmYFNnqsR+PiOAAfnvB8Lr7NR4v767ay1sr9lBYXs1NU09sAKkxxnRURx2kp6plwCvAKyISC1yCMz9xlyyQazxeJvaNY2xKLPll1azIKOS3723gt+9twO1bhSklLoyrZw2kqKKGpen5/GnuprrHJ0YG0ys2lOyiykYF4bjUWL4/vR97CstxibCroJxnFu7gqS92HBJDWnwgN0/rS3Wtl8oaDzMGdWNM7xjyy6rpkxBe1+q6LL2Aq55ZwrXPL6VPQjhXTUwhwCWcP6oH8RGNiztV5U9zN7Fgyz4SIoIoqaylqtbpT/uv6yYQFhTATdP6UlZVS5+EcKpqvWzLLWV0b2fikdOGJNUNotmcXcL3/7Oc217+hujQQArKqnl5SQYXju5JUlQweworeHtlJgAvLkqnrNpDfHgQd58zhGE9oxjSPYobXlzGy0t2ccaw7nSLDK5reftqex4FlcpfLxvNkOTO23+3s7r8pBSmD0rk0025jEuNpU9COMEB9d8S/P2KMWzNKeGJz7Y3elxwgIuoUOfblQtG92zxuFSVJxdsZ/bKTLbklHJSnziGJkexavd+lvkG1PWOCyPQ7SI+3M2Q7pEkRgZz2pAkxqTEEOh2UVhWXdcaXFnjYV1mEUN7RBEW1Kyx0O1CoNvFd8b14jvjevk7FGOM8atj+uT2Lf38tO+nS/pdg9YWcFqCH/loM/tKqugWGYwIXDUxlR6+SfnLqmp5/JOt9IgJpaLGw/bcUjL3VzAmJYZfj+zByF7RhAcFEBMWeEh3jMz9FXy5dR97CivIL6tmxsBEKjM3cv7pM5rsunHwFFoT0uL4+M7pLN6Zz8uLM/j9BxsB2FNYwU/PGsRnm/Zxum8U+qMfbWbBln384uzB3DK9H6pKXmk18eFBdS3PDRcaCHS76orjgw3qHsl/v38yEx/4hIKyai4e24s5a7OYvSqTGo8zV+kVJ6Wgqrhcwsl94zlvZHKj1/Sdcb351TtrmfLgp0SFBNAnMYKwQDdrM4tIDBXOHNa9Wf9fpv1Jjg7lqolNf20vIjz/vQlk5JcTHxHE/vIa/vjhJv7xeX3BPKlvfN0Kfy1l5e79PDR3M6nxYfzp4hFcMq73Ma8C2LCrREig2waXGWNMB9ZxmjbaKbdL+PlZgw+7Pzw4gF+ec3wrc/eMCeWyCSmNtn2+b9MxzSWaEh9GSnwYl4zrxa6Ccu7733re/GYP2/eV8tnmfXx3Uirp+WUs3JrHZeN7c7PvK1UROaEuBElRIcz54VQKyqo5ZUAC9543lLBg3/ypVR6iw448Sv+S8b1IjAxmd0E5b67Yw/7yanaUVXPmsO6MD8v3y9K5pm30ig1r1K979m2T2VNYwbL0An7yxmqeWrCDe88fyp7Ccv48fwuJEcFsyi5hd0E5YVrJtGnaZHGbVVTBWyv2UONRzhuZTP9uEfzszTVkFVWyeEc+AG/dOpmECOs6Y4wxXZ0VyF2EiJAaH84vzx7CHa+t5LPN+wD4z+IMXAIPXjSCyyb0btFFMg7MiQs0Koijw44++CrQ7apr3b7+lMb9kD///POWCdB0CCJC77gweseFsWh7Pi8vyeD70/vy6EdbeGdlJi6BQd2jiAwJYPUeD1nFlfSIDuGheZv577LdzBzUjR4xITz/5U7Kqj24BB77ZGvd+VPiwqj1Kn0Swq04NsYYA1iB3OUM6h7JnB9O5bPNucSEBfHKkl1cNyWtbgCdMe3Z7TP78+6qTM786xcUV9Rw09Q+/OqcIYgIi3fkc/nTi5ny4KeMTYnhm137GdYjig/XZVFe7aFfYjjPXTuBsGA3H6zJYl1mMarKHy8eQV5pNV7vsa0qaowxpvOyArkLcrmkbkDduE60kpvp/PokhPPObVN45KPNrMss4qZpfeu+9Wg4raBXnVlOfnLGQKpqvSxPL2Rg9wi6RTp9lw+eHaVh/3pjjDHGCmRjTIcyvGc0L1x30iGL18SHBxEXIlwwLpX7zh9Wtz0k0G3zUxtjjDkmViAbYzqkg/vLiwiPTg9lxoyhforIGGNMZ+G/paqMMaaFiTR/9UpjjDHmcKxANsYYY4wxpgErkI0xxhhjjGlAVDvu1EYisg/I8HccbSwByPN3EH5mOWjM8lHPcmE5OJjlo57lwmF5qNfVc5GqqolN7ejQBXJXJCLLVXW8v+PwJ8tBY5aPepYLy8HBLB/1LBcOy0M9y8XhWRcLY4wxxhhjGrAC2RhjjDHGmAasQO54nvZ3AO2A5aAxy0c9y4Xl4GCWj3qWC4floZ7l4jCsD7IxxhhjjDENWAuyMcYYY4wxDViBbEwHILY8nDGHZb8fxhye/X4cHyuQ2yER6fL/LyLS098xGNNeicgg+5xoxHLRgL037BpiTlyX/yVqL0TkWyJyp7/j8DcRmSUiK4Bb/B1LeyAi54vIq8AvRCTV3/H4i4hcKCL3+zsOfxOR00VkCXAj9vmNiJwrIu8D94vIFH/H4092DXHYNaSeXT9OjA3S8zMRCQB+AtwKpABjVXWViLhV1ePf6NqG7+ufQOCvwGTgN6o6u+F+7YJvVBGZBTwA3AtMAKKBz1T1AxFxqarXrwG2Mt/7wgVcB/wCSAVOVdWFfg2sjfnyEAD8GrgC+Lmqvt1wfxf9/RgHPAn8BogCTgUWqeoLXeH34wC7htg1pCld/frRErp8C4S/qWotsBkYDNwJPOXb3iU+2ADUUQ2EAbNVdbaIuERk1IH9/o3Qb2YB76vqXJz3RSRwvYiEd4UPN9/7wgNsA8YAtwFdrhXZl4cawAu8eaA4FpGpIhLo3+j8ahawUFXnAO8C2cAPRSRaVb1dpd+lXUPsGnIYXfr60RKsQPYDEfmhiDwoIpf6Nn2gqpWq+legm4hc6TuuU1/8GuThMt+m+4GpIvII8A3wexF5WkTO9F+UbaeJ98UiYIqIhKhqLlAJuIHr/RZkG/Dl4RkRudG3aYGqlqjqM0C4iNzgO65Tf341yMPNvk3/BJJF5F8ishb4GfAcvvdDZy8IG+TjJt+mz4DzRSRWVSuAGqAI+Dl07qLIriEOu4bUs+tHy+vUF5j2Rhw/Bi4DlgO/FZHvAbENDrsTeBjA12rU6TSRh9+IyA2quh2YjdMSchlwJbAO+LaIJPgt4FZ2mPfFtcAmYC/wuoh8hvM18rtAZGctDn2/D1cCbwHfFZFfAn0bHHIvcKevKOq0rSAH5eEqEbkHqML5/QgCLgG+5dt/kYikdPKC8HvU5+NqEbkbSAfmAf8RkYU475MHgRgRCfdTqK3KriEOu4bUs+tH6wnwdwBdiaqqiMwE7lHVz0SkFDgD8AD/8R3zju8vwbtU9RERmaWqH/sz7pZ2mDycIyKXqurfRORfqloKICKrgElAuT9jbk1N5KMM531RjjMYayTQw9d37CqgTycuDk8D/qSqc0UkDzgfuAr4HYCqfuhrQb5ZRP4BnKWqb/gv3FZzcB4uAL6vqg+KyHxVLQMQkTXAfpzW086sqXxco6o/EJEUYJCqzheR6UDogfx0NnYNcdg1pJ5dP1qP/RXRSg7+urPBX2zLgakAvr5BW4FhIjKoweG3Ag+JSDbQoaeqOYY8bATGicigAx9sPqfj/KJXtkG4ra6Z+fgQ2IIzsKK/qq5U1Q98x40DlrRRuG2mQR5WAucBqOpy4GugpzSeoeDnwB9xfne6t2Wcre0IefgK6CMiUw4q/q4FQoHCNg20jRwlHwNFZKqq7lLV+b7jzgW2t32kra+rXkMO1tWvIQ3Z9aN1WYHcekIb3mnwF9s2nK84RvjuL8AZXRoJICKjgWdwvkocq6ovtk24reZY8hBFfR4uF5F1ODMX/KoT/cV7LPmIpD4f54jIUpx8vNVGsbYaEXH7/hVolIevAJeITPPdXwdkAT18x/cH/oHzNepYVf1bW8bd0k4gDxeLyGqcbgW3qmqnuPgfYz724vsDSUSmicgCYABOX+0O7wi56FLXkGPMQ6e+hhxjLjrt9aOtWIHcwkRkkoi8BTwhImc0eEMf6M6yFKgFzhCRAFXdgPMX/njf/nzgNlW9RFX3tnX8LaUF8pCBc+G/xjfAoEM7gXxM8O3fCtyiqheraodtLRSRk0XkGeDHIhJ5oN9sgzxsBdYDl4kzTdUeIAlI8+0vAv5PVS/q4L8fx5uHPr79W3DeD9eoak5bx9/SWiAf6Tifm99W1bw2Dr9FicgUEXkRuEdE4hrk4sCAu65yDTnRPHSaa8gJ5KJTXT/amhXILUhEZuC0br2NM+3O1UCsOHMO1gKo6jacr0P64cztCs7gmwzf/t2quraNQ29RLZSHr7WTzHd7gvlI9+3fqqrftG3kLUuc/qF/Bz7FaQn9lYicAXVTVQGUAAuBYOAR3wUgFueij6ruU9WtbR17SzrBPOT5jlurql+3deytoYXysUtV17d17C1NRPrifFZ8htPad7+InAP1A+66yDWkJfLQKa4hJ5iLdN/+Dn/98AcrkFvWSGCZqr4MvIQzcXnpga9BROT3IvIcsAJ4HDhJnBV/CnBGY3cWlofGLB+OccBXqvoq8HucFsArRCQJnDwAr+C0Ev8apwBa6Lvfob8mPojloTHLR72TgI2q+gJwF7AKZyq7ZOhSnxWWh3qWCz+xWSxOgIhMAgpUdYtv0xc4083sxVnUYCPwDxGZB+zG6S94r6qm+x5/JRCgqvvbPPgWZHlozPLhaCIPm4HRItJDVfeKM/I8HrhQnGmI+gK/UGeqJkTkeiBcVUv8EX9LsTw0ZvmoJyLn47QKLlfVxThflf9AnGn7donIVzitgpeLyDI672eF5cHHctF+WAvycRCRGBH5AJgPXCoiEQCqugo4C+fNfZuqzsAZXDILKFPVK1V1m/hGnqpqaUd+E1seGrN8OA6XB5x+s8XAC+L0x+6N0xoSqapbfHnY3iAP3o5cBFkeGrN81BORZBF5D2exl1jgXyJypqruwJm55RLfoZtx+l5HAWs74WeF5cHHctH+WIF8fMJxvrr4ge/21AM7VHUpkIivHxROv7oYfNMwSedaA93y0Jjlw3FwHqaB0w8OZxGDPwJvqOq3cT7oZxx4oOXB0cnycIDlo954nGWyp6rq/cBjwIEVExcCI0RkojrLRWcC01S1CDpdLiwP9SwX7YwVyM0kIteIyHQRiVLVTOBp4HWcuRUnisiB6ZeCcZZ4vM330NOAON9xdPQ3seWhMcuH4yh5OOlAHlS1WlU/U9XXfA8dC8w9cB7Lg6Oj5+EAy0c9Xy5m+D4LPsG3sIdPPk5LOjjz1K4E/uxrZR8GZIhIGHT8XFge6lku2jfRzrs66QkTEcGZZ/MVwIszAX04cIf6phISZwGDS3H6C/3Ht20YcJ/vsTU401JtbPtX0DIsD41ZPhzHmIdlqvpSg8eegtNCkoezQlx620bfciwPjVk+6h0tFyISqKo1IvJDYKiq3tLgsX8GeuF0zbpGVTe3/StoGZaHepaLDkRV7aeJH8Dt+3cg8NKBbcDfgLcPOvbHOKOvY3CWOQVnQYi+/n4dlgfLRzvKQzTO4CpwpvM6x9+vw/Jg+fBnLhoc8x4wy3e7m+/fAJx+2H5/LZYHy0VX/LEuFgcREbeIPAA8IM78nINw1rlHnb4/dwCTffsOeAaIwBl8ki4iPVW1Qp3O9R2S5aExy4ejBfKwQ0R6qepeVZ3TxuG3GMtDY5aPeseSC1X1iEgQsA/YIiJ/AOaLSKyq1moHHoxoeahnueiYrEBuwPfGXYEzgnQbcD/OV+EzReQkqOvr8xvfzwHn4vQtXQWMUKevXYdleWjM8uFogTysxsnDnraLuuVZHhqzfNQ7xlz81vewEOB7OH1QI3FaDTv0ameWh3qWi47L5kFuzAs8qvV9RsfgLGV6L/AkME6cqVRmA6eKSJo6feQqcd7AX/gn7BZneWjM8uGwPDgsD41ZPuoday564XQreQn4szpTQnYGlod6losOylqQG1sBvC4ibt/9r4AUdVawcYvID3x/6fUCPL4PeVT13U72IW95aMzy4bA8OCwPjVk+6h1LLryqukdVl6rqNZ2sEPp/9s47PK7i7Nv3aNW7bLk32WCMDcbGNjbNRvQWAgQSegsJ4eUNhATCR3kJEAglBAgECD10O/TqBrblgnuTmyyrWLJk9S6ttH2+P07Zc3ZXtgS2ZdlzX5cva3fPnp0zZ87Mb555nmdUPQRRddFLUQLZgpSyXUrp1n2CAM5G8wMCuAkYK4T4BpgJrAczIvWQQtWDHVUfGqoeNFQ92FH1EaSbdbEODs26UPUQRNVF70W5WERAn+lJYADwlf52K3A/cCyw0/AnlVIesnnyVD3YUfWhoepBQ9WDHVUfQVRdaKh6CKLqovehLMiRCQAxaLk4j9Nndw+iLX8sk7082KobqHqwo+pDQ9WDhqoHO6o+gqi60FD1EETVRS9DbRTSCUKIE9F2PlsO/EdK+WYPF6lHUPVgR9WHhqoHDVUPdlR9BFF1oaHqIYiqi96FEsidoEeSXocWReru6fL0FKoe7Kj60FD1oKHqwY6qjyCqLjRUPQRRddG7UAJZoVAoFAqFQqGwoHyQFQqFQqFQKBQKC0ogKxQKhUKhUCgUFpRAVigUCoVCoVAoLCiBrFAoFAqFQqFQWFACWaFQKBQKhUKhsKAEskKhUPQihBB+IcRGIcRWIUSuEOIuIcQe+3IhRJYQ4uoDVUaFwLhLCAAAIABJREFUQqHo7SiBrFAoFL2LDinlRCnlMcDZwPnAQ3v5ThagBLJCoVB0EZUHWaFQKHoRQog2KWWy5fUoYA2QCYwA3gOS9I9/L6VcLoRYCYwFdgLvAC8ATwLZQBzwkpTy1QN2EQqFQnGQowSyQqFQ9CJCBbL+XhMwBmgFAlJKlxBiNDBTSjlFCJEN3C2l/Jl+/C1AfynlY0KIOOAH4JdSyp0H9GIUCoXiICW6pwugUCgUin1GDPCiEGIi4AeO6uS4c4DjhBCX66/TgNFoFmaFQqE47FECWaFQKHoxuouFH6hB80WuBiagxZi4OvsacLuUct4BKaRCoVD0MlSQnkKhUPRShBD9gFeAF6XmL5cGVEopA8B1gEM/tBVIsXx1HvA/QogY/TxHCSGSUCgUCgWgLMgKhULR20gQQmxEc6fwoQXlPat/9jLwqRDiemAu4NTf3wT4hRC5wNvA82iZLdYLIQRQC1xyoC5AoVAoDnZUkJ5CoVAoFAqFQmFBuVgoFAqFQqFQKBQWlEBWKBQKhUKhUCgsKIGsUCgUCoVCoVBYUAJZoVAoFAqFQqGwoASyQqFQKBQKhUJhQQlkhUKhUCgUCoXCghLICoVCoVAoFAqFBSWQFQqFQqFQKBQKC0ogKxQKhUKhUCgUFpRAVigUCoVCoVAoLCiBrFAoFAqFQqFQWFACWaFQKBQKhUKhsKAEskKhOOwQQkwXQuT3dDkONYQQ/YQQ24UQCZ18/rAQ4v0unusVIcSD+t/ZQojyLn7vUyHE+V0vtUKhUISjBLJCoThkEUKUCCHOCn1fSrlUSjmmJ8oUii4avUKINiFEkxBiuRDipC5+90YhxLL9XcZucC/wtpSy46eeSEp5q5Ty0R/x1aeAx37q7ysUisMbJZAVCoXiACGEiO7ko/9KKZOBTGAR8HEPl+fHnCsOuAHokoV4fyGlXA2kCiGm9GQ5FApF70YJZIVCcdgRumSvW5rvFkJsEkI0CyH+K4SIt3z+MyHERouF9zjLZ/cKIYqEEK1CiG1CiEstn90ohPhBCPGcEKIeeHhP5ZJS+oAPgCFCiH76OdKEEG8KISqFELuFEI8JIRxCiLHAK8BJhvVZPz5HCPGbkDIss7yWQoj/FUIUAAVGXQgh7hJC1Oi/c5Pl+Av062rVf//uToo/DWiSUlrrdaQQYrH+3e/QJgDW+/CxEKJKr/MlQohjLJ+9LYQIswQLIf4shPg05L0XhBDPW97KAS7spJwKhUKxV5RAVigUCo1fAecBI4HjgBsBhBDHA28BvwP6Aq8CX+kWU4AiYDqQBjwCvC+EGGQ57zSgGBgA/G1PBRBCxALXA/VAo/7224APOBI4HjgH+I2UMg+4FVghpUyWUqZ341ov0cs1Tn89UC//EOBm4CUhRIb+2ZvA76SUKcCxwMJOzjkeCPXr/hBYhyaMH0WzMFuZA4wG+gPr0SYHe+N94DwhRDqYVvArgXctx+QBE7pwLoVCoYiIEsgKhUKh8YKUskJK2QB8DUzU378FeFVKuUpK6ZdSvgO4gRMBpJQf698LSCn/CxQAUy3nrZBS/ktK6duDb+6vdAtwB/Bb4HIppU8IMQC4ALhTSumUUtYAz6EJwp/CE1LKBkt5vMBfpZReKeVsoA0YY/lsnBAiVUrZKKVc38k504FW44UQYjhwAvCglNItpVyCVq8mUsq3pJStUko3mnV9ghAibU8Fl1JWAkuAX+pvnQfUSSnXWQ5r1cujUCgUPwolkBUKhUKjyvJ3O5Cs/z0CuEt3r2jShewwYDCAEOJ6i/tFE5qV1epKUNaF3/5ItwAPALYAky2/HQNUWs7/KprF9acQWqZ63b3DwHr9l6GJ9FLdXaKzAMJGIMXyejDQKKV0Wt4rNf7Q3USe1N1TWoAS/SObG0YnvANcq/99LfBeyOcpQFMXzqNQKBQRUQJZoVAo9kwZ8DcpZbrlX6KUcqYQYgTwOvB7oK8ucrcAwvJ92dUfklLWoVmsH9bdNMrQrNWZlt9OlVIavrqRzu0EEi2vB0b6qW6UaY2U8mI0Uf4F8FEnh24CjrK8rgQyhBBJlveGW/6+GrgYOAvNvSNLf99ad53xBXCcEOJY4GeEu2aMBXK7cB6FQqGIiBLICoXiUCdGCBFv+dfdzA2vA7cKIaYJjSQhxIVCiBQgCU1s1gLowW3H/pTCSinzgXnAPbo7wXzgGSFEqhAiSghxhBDiNP3wamCo7rtssBH4hRAiUQhxJJpP8Y9CCBErhLhGCJEmpfQCLUCgk8NXA+lCiCH6dZQCa4FH9POcClxkOT4FTfzXown6x7taLimlC/gEzcd5tZRyV8ghp6H5NysUCsWPQglkhUJxqDMbzbfX+Pdwd74spVyL5hf8IpobQSF6AJ+UchvwDLACTayOB37YB2V+GrhFCNEfLWgvFtim//4ngBEEuBDYClQJIer0954DPHp53qFrgW974jqgRHeDuBW4JtJBUkoPWkDhtZa3r0YLBmwAHsIeSPcumsvFbrRrW9nNcr2DVt829wohxAlAm57uTaFQKH4UQsour7QpFAqFQtEpemq6pcDx+2KzkL381nBgOzBQStlief9T4E092FChUCh+FEogKxQKhaJXIYSIAp4FUqWUv+7p8igUikOPfbaLkkKhUCgU+xs96K8azT3jvB4ujkKhOERRFmSFQqFQKBQKhcKCCtJTKBQKhUKhUCgs9GoXi8zMTJmVldXTxThgOJ1OkpKS9n7gIY6qhyCqLoKoutBQ9WBH1UcQVRcaqh6CHO51sW7dujopZb9In/VqgZyVlcXatWt7uhgHjJycHLKzs3u6GD2Oqocgqi6CqLrQUPVgR9VHEFUXGqoeghzudSGEKO3sM+VioVAoFAqFQqFQWFACWaFQKBQKRY9R1+amvLG9p4uhUNhQAlmhUCgUCkWP8fjsPG6fuaGni6FQ2FACWaFQKBQKRY/R6vLR3OHt6WIoFDaUQFYoFAqFQtFjSAk+v9qTQXFwoQSyQqFQKBSKHkNKic8f6OliKBQ2DphAFkKcJ4TIF0IUCiHujfD5DCHEeiGETwhx+YEql0KhUCgUip4jICW+gLIgKw4uDohAFkI4gJeA84FxwFVCiHEhh+0CbgQ+PBBlUigUCoVC0fMEJEogd5M/fbSR91d2msJXsQ84UBbkqUChlLJYSukBZgEXWw+QUpZIKTcBap1FoVAoFIrDhICUeCO4WFS3uCiobu2BEh38LCuoY0VxfU8X45BGSLn/Z226y8R5Usrf6K+vA6ZJKX8f4di3gW+klJ90cq5bgFsABgwYMHnWrFn7rdwHG21tbSQnJ/d0MXocVQ9BVF0EUXWhoerBjqqPIAdrXTy9poOCpgCvnW3f8vjGuU4A3j5v326FfLDWQ3e4faGTEakO7p4S/5POcyjUxU/h9NNPXyelnBLps1631bSU8jXgNYApU6bIw2mLxMN9S0gDVQ9BVF0EUXWhoerBjqqPIAdrXbxeuBKaGsPLNvdbgH1e5oO1HrpD1OL5xCQmkZ19yk86z6FQF/uLA+VisRsYZnk9VH9PoVAoFArFYcCs1bt4fUlx2PuBAHgDyruyO/gDkjaXr6eLcUhzoATyGmC0EGKkECIWuBL46gD9tkKhUCgUih7mq9wKvswNt40FpERKTfQpuobXH6BVCeT9ygERyFJKH/B7YB6QB3wkpdwqhPirEOLnAEKIE4QQ5cAvgVeFEFsPRNkUCoVCoVDsf5xuH5HSHRuhUJEC9TpjU3kTz363Yx+VrPfhD0haXWr3wf3JAfNBllLOBmaHvPcXy99r0FwvFAqFQqFQHGK0uX1ER4Xb5SSaQu5OqrdvN1fy6uJi/nT2UfusfL0FqeeN9nn8+AMSR5To6SIdkqid9BQKhUKhUOx32j1+/BEyZxm62N+N7aY7PH7tu4ehW4b1kpUf8v5DCWSFQqFQKBT7nTa3L6KgDeiiuTuBek63JpAPxw1GrK4oLcrNYr+hBLJCoVAoFIr9ipRyrxZkXzcsyO0ezXJ6OAb2Wa9ZBertP3pdHmSFQqFQKBS9C7cvgD8gbSI4EJDkV7dibFjWnSC9do9hQQ4Ajn1a1oMdn00gKwvy/kIJZIVC0SuZv7WKqhYX15+U1dNFUSgUe6HNrVk6AxYL8ls/7OSxb/PM151ZgwMBSVRIIJqyIGsoC/L+Q7lYKBSKXskt763jL1/um2yQ760sJeveb7tlwVIoFF2nXfcZtoq7Lbubbcf4OvFBjuSWcTj7IPss/ZQx8VDse5RAVigUhz1/n7MdCC7bKhSKfUskC7IQdquwtxMf5EhW4g6vLpC74bd8qNAbXCxqWlw0dxycZesqSiArFIrDHmOcPhyXaxWKA4EzgktEaPbezsRupOfSqQvuzqzOhzLW+mg5SF0sbnp7DU/Mztv7gQcxSiArFD1Aq8vLM/Pz1ZL+QYJhyVL3Q6HYPxiC1iZ2QxRyZ2I3khuFsdpzOE5qfb3AB7mkzklTu7IgKxSKbrK8qJ5/LSxkU3nz3g9W7HeM+B+PTwlkhWJ/4IzggyxCFHJn/sShIlhLGWdYkA9DgWyZyB+MLhZtbh9Oj7/XW/eVQFYoegC3LsRUgMXBgbIgKxT7F9PFwuaDbD+ms+dvw65G22u3LxDcfe9wFMgHuQW5psUF9P7JixLICkUPYFgq1TahBwemBbmXC2R/QOLt5YOS4tDEcLGwGhW76oN88ztrI57L+p1AQPLcdzuobXX/9MIe5Pi7GaS3rrSRU59aSPMBcnmobtHuQW+fvCiBrNivlDW088WG3T1djIMOUyC7D77lscMT3YLs690d+h2zNvDb+e09XQyFIgxD1Hr8AfPvUAtyVwWVNduM8Z01JQ08v6CA+z7btA9Ke3DTXQvytsoWyhs7KKhp3Z/FMqlp1SzIvX1FTglkxX7lw9W7+ONHG82dkn4qUkq21PkJ9PKZqcendfAH4/JYb2NftC1hWpB7d5q3bzdV9nQRFIqIOC2i9piH5gHhPsgtLi+FXRBxVoFs+Lkaad/ch0EcgeGDnBDj6JKbnjEh2d3UsV/LZVCjLMiK3syygjq2Vuz/ALGmdg9S7jtfpDlbqvjHWhfvryrdJ+frKYx8n8oH+adjzZ36xtJiXlpU2O1zBIP0eneHbrCvJqQHIxvLmnh63vaeLoaimzgj9HVRIQrkD7M2ctazS3D7wieqVqOI4c8MQRFmrMrFOg59WWOMpxmJMV0yshh1X9Hk2q/lMqhWPsiK3sy1b67iwheWAfDhql386pUV++V3Wjr0SON9lMx9Z50TgL98udVcxumNGL6uh7sP8taK5ogD596wWiaskdIL8mr4/Ee49BiWrN7ug2xwqFxHJC556QdeWlR0SE8CDkWMLBZ2Qr2QNSJtGGIVWx02C7K0fSfmMBDIRv+XkRRLSxd8kA0RXdlstyDnV7Xy9JoOWx9889tr+HRd+U8qX7XuB97bN3E59FuSYq/k5NewtrRhvww4xk46+2rAdnmDHeNXGyv2yTl7goM9i0Vxbdt+X47r8Pi58IVl3D5zA9C95ThrOjbrYBqQ0rRedAfDguw9AMuzgYDk/s83h22zuy/ZF+nq3llewuqdDfugNPuHznZdUxycRJoIh/ogG/gj3Ftr/2A9l98UyLoFOfrQlzVBC3IsbW7fXl0OgxZke59++8z1bK0PsL2qxXxvwfYa7vo4t9NzNTg9TP3b96wqru/0mK5akOduqeSGt1bv8Zie5NBvSYq9UlDTRkBq/sKb93FeXkMg+/aRQLZaDgxrcm/EEDCtB6lA/tNHufz166379TeMZdQ1JQ1s2d3M2AfnUt7YtQAz6xKstW0FpKTV5TNzpO4JKSVf51bg8wfMNG/72vL6ybpyLv/3ctt7Na1uPly1i1+/vWaf/paVfSGQH/pqK796df+sLO0LenuO1d5Kg9PDutLuT5ycEZ7JTvQx3gj31nq/2yNYkA0f5D1ZkAtrWqlv6/1ZLow+Lz0xBinh5nfWkHXvt4D27H+yrtxm8GozfZDtxoMd1W0AOEJ9XfZAab2TmlY3s9aUdXpMrWlB3vMzeuv761m8o7bLv32gUQL5MMfl9VNarwnNBz7fwkUvLtun5zcF8j7yReqwWJBL6nu/QD5YXSyaO7xUNXffElvd4mJ5UV2XjnV5tToQaK4WHn+gy79pDcSxti3DmmSkGdoTm3c3c/vMDSzKrzUtWfs66nppQS1rSxttgtUQ9/tzKfhQdrEw+LEZR56YnccZz+Ts28IcRlzzxiou+/eKbgdKd8eCHOk5tC7X27NYBGznj43uTHbDWc8uIfsfOV0pbrdYv6uR859fesA27bBakAEW5QdF5utLi7n741y+yg2usLZFsCBbBXRnE+r1uxrN++zy+pm7pdI813fbqm0ruiuL65m7pRJpWcXr6qrgwRp0rwTyYc7OOif7s20a/lH7aocyQ1QBlNT13nRWRraEg9XFwuX109Du6fb3LnxhGVe/vqpLx1onO4Zlo6vL5m5LO7C2LePrXXGzMPzydje2mwO12xdg1updvLO8pEvl2Bsl+iqH1U/Q8MWMi9mPAvknPm/WwfPH+IgfCCJZGbvCq0uKKa7t3uT6zWU7ya8KZlewCoO9MXtzJc9/X9Ct3zuY2N3UwX2fbTavOa9SW46PZBHeE6E+yIGADMtiYRBp8rOjupXr31pNh8dvWyHyhQQ8R1usof/3xWay7v2WP3200XxvX2YOmre1iidm5/HiwkLyKltYuL0G0J6frrosenyBbgtrvyVILxSjHsoaguOj8Qw3d3jNzxucwf7dmJBYy7y1oplfvLycH3SDx5NztnPr++vJ0cV4m9tn/g3wyuIinv1uB21unzmB6aph7Mc+y/sbJZAPcwpq2vbbuQMBScs+tiBbO8aK5o5uDVQHE6aLxX6wOHyVW8HXuRW2DrC7dHj9NLTt/fsriuqZ/Oh35kpBXVt4ep+5W6oiRqUb7jJRUYJK3bLR1WVzly98iRWCHXxXBLLRdqpa3OZA7fUHuPezzTz01b5xLymp1wYpo34gOIDFRTv2yW9E4qcKZOtE5bhH5oftZHYw4PYFDkigntvn59FvtvHuihJAEx5HPziXT7oYyHTbB+t57vsdvXYb8xcXFjJz9a6wmI8Wi9DsyspLqDHAGwh0akGOtALy0FdbWbKjlpXF9TaxfdfHufj8AVOUWXfqe3/lLgC+ya3sdLm/3bN3H97OmL+1mteXFjMkPQGA3LJms0wj75sNQGFNGxMemU9BdeT0dU/N3c5lIW5Ye8IfkGafl65bkK2kxmuiObTPMera6GvLGoPWZKNtWqthl953GX26EZNiuDbGOATfbg6mlWx0evD4AtTo7hWxjqguu1YerOnglEA+zCns5KHdF7R5fOYDt6+Wrustok9K2NXQO63I+9PF4o6ZG7h95gYmPfrdjz5Hh8eP0+Mnr7KFHwrtLhPFtW1sKm8C4KVFhdQ7PawvtQsoYyKzflcjt76/jse+yQv/DV2gCqBSd63oatSz1YJs7YSDLhZ7F8jG71c1d5hBeh0RNiD4sTQ6PeYgZR2sjEnR/gwm+qm5YK0TGn9AhmUG2V7VQta939qEc3Ftm7nFbHdYkFfN47PD24cVnz/AzNW7bPf6V6+s4DfvrP3RwnNv36tqdjH50e9YVqC1f8OYUFir/f/fNbv2+htNllUYqwW6J5izuZIvCoPlMayJTrcvLLuBlaEZmvjbpluOo/WHxWjHFU0djH5gDh+t7dwnFbQ+wREVVMQ+vySqE4UcaaJs3C9HlKDdG+w3W10+8ipbTQEe6b56/AFKLWOFsduklJIzn1nMX7/ZZjv+y427mfH3RXsVeB1ebYzbUKY9B0Zmpc/W7zbPP3dLJc0dXl5dUgzAquJ6rnh1hVnOJTtq2VHdxpTHvo844XO6fWY5WlxeJj36HXN0Ydo32S6Q/QFJakI0YO9znG4/I/okAlCh97VWC7PRX1j7vCr9WW4zVrz0/spw0zh73AAW5lWbxzd1ePH4AmbfOyg9vsuGsYM1HZwSyPuY4tq2Ls2aAgHJa0uKeiRVmfUhCLUgp8RH215XNHXw+Ow8lhZ035Heuq2lVSCXN7azXBddUkpWFdd3yRLU7vGRW9Zke+/HBOpJKXt8xmpYSPYUpLe8sI6H95El04rPH+DoB+d0OsAHAtLsMM9/finXvGF3mTjjmcX8/MUfAC1IBIJWBgPDmmPcV0NQW3EbAlkIs9Pt6kTKKuCs1k7jvuaWN5OTX2O+//jsPG4OCYozxHBls8sM0iuoDj4PoRHf3WWnxUc+ogX5R/gge3wBXlpUuNeVk674IJc1BJ/DUKyuTKDlH7c+M99v0wbG+duCA+QZzyxm6uMLAKhvc3fZKnfzO2t5bUmx7fhn5+eb0e0eX4Cb3l7DfZ9t5tP1Qavt7qYOFmyv4Y//3WiWzeX12+67wQerSlkfYgW3ToYisWFXI/VODz8UatH6BdWtSCmp0y1kkdOW2bH2T7kRnoHuUtvq7pIwB80V4m/fbjOfwf/5YD1fFAbb4YRH5nPhC0t5Yk4eV7y6stPzJMZqKx07dGOKIXKNFJ5F+oThy417Tq/odPtt48ueJsNeX7iLgtu0ckraQ+q+w+s33Qg660O2VQQzNTR0SPMaKptdvLuixHQdAVheWM+uhnZeWFCwx7HJaENb9XOHXpPbFzD7eMPd6q6Pc1m1s4Gyxnaa2j3mGFzX5rZZ5UHrPy94YSn/Wqjlds+raKG5w8ucLVUA9E+Jtx3v8QUwimvtc1o6vIwZmAIE+7UyS0C0UWc2gawL6aBvt9ZfFerlPXpgKk6P3+yLG50ePH5pbhIyOC2hy+NspKwlBwNKIO9Dmto9nPHMYh78cstej920u5nHZ29nrt7Q94bL6+eeJe173ClreWFdRCESirUD2VHdyhH9kszXxvIMwKLtNWQ/ncNrS4qZtTrcOvDCggI+XNV5Z231u7R2HOf9cylXv7EKKSVvLtvJFa+tZEnB3gO7Vu1sCLOMlfwIgXzHrI3c8u7abn9vb7R7fDw7P79Lbh/BraZ9nXbAV7+xireXl9isUPuCFpcPlzfQqRtBJOujzx95OTtFby+hlvxgEI02mNZFcNewWpArmg0Xiy5akG1BevYsFqDtKHfjf9aYE7vXlhSzYHuNTYS59HNUtbjM5cetlcEsLj91dcLaNltsFmT7gLMnimvbbGX+75pdPD0vn9d1a1RnRLKiuX1+2y5lp/8jh6vfiOwvHuoSU9vqZk1Jg+Vz7fxxEa6hqtnF5Me+57Wley5jKFaf9xcWFprR7a8tKWKp3j+Eap+BqfF8u7mSFUWaiH3k663c+J81PPfdDjNIqaDRzwOfb+HPH+fafas78aF1ef34A9IUAsV12v+N7V7qnR5zs4VQl4H3V5aGbWBiFSld6ZsNFu+o5do3VoUJjNeWFPH/Pt1sm7w1Oj08+MUWsw5A83t+Z3kJry/dSWO7N2yyYliMS+vbWVpQt0dDTdAdTLteI7jU2qb3hMurrUR5/AHb+LInv1OPPxAWG2P0q4u21zB7s30crGpxmZb+zlYGtlg2xnLp45HhNhCQ8Og3wcmEIfpfWFjI+l2d37egIUC/ppAG2urymf2AsZOgUX/1bZ6wSVuD04M/IHlr2U5cXj8VzS5K69sp190h8kNWfAekxtlee3wBswxG2/P6NZE+ZmAqjqigMcJqQTbqzNqXmhZk/b4bkxJfQJIU6zAnO+1uPz5/gBaXj7o2N0/M0VaDBqXHd9ngoXyQDwMMK9rHa4NWjkBA8tx3O8JSy6zeqXVmRidTXNvGg19s6dQndWtFMzXtks17yJ169RurTMvenrA22pL6diYOyzBfW5fAvs6tICU+mtH9k20dPWgD6EuLCnn4q60U10b2Y7Z+x/qbxsBS7/SYnbrxEFa3uDoV3TtCliiTYh2U1Dt5Y2kx32zqek7kHVWtLNhew7rSn+5Xubm8mfs/38x9n23ij//dyAsLC3l/5d53+TMEhpT2iOzg58H3ikICiqSUXPziMt7opgAB+HRdOf+Ynw+EWwlBsy68HuG8pz2dwz8jBBoZrhShYtKwOhjXEckf2vDhbOrwmmXZU4e6s85pnq8zC3LooLogz25NLLf43bksFmSDrRYr04/Jp2zF8D8G7fo3lTchpTTbfySBvHpnA7d9sA5/QLK0oJYznllMzo7gNRiTikZ9debRb7ZFtJhGmuS8sXQnZz27xMy/vKfJiPX7qfHRxMdE2Sbn5q5lEa7BGMS7Ovk36Ky+2yzWwviQwMYZR2UCwcF8W6X2288vKOAOPb92fqP2/fTEWNuzFum5Azj6wbn8/sP1pmXPGtC3o7rVFBgVTR1mPXj9AZ77bgf/zimyTSSMPnBoRgKbupFC85N15SwrrAvbsGGBHgRmZPDJr2rlwheW8t7KUr7Q3WC2VbRw2wfrzTRcDU6P7fkMBKSt7yutb8flDdDuiTxZN67ReNZNC7LLHl9i+PFXNbu47s1V5griPZ9s4vznlwKYy/+wZxcLrz8QNjkwBPI7K0qpd3pIjgue66WFhab7XWcCeevu4LPt9ML1b63mghe0cl143CCWF9VTUNOGlNJ0ozHK0hkdIcYQb8C+Otnm9pmrCKX1TvKrWk0XlaoWF2tLwgXyvK1V/PWbbTwzP99Mu9qhu5TkVdrHwJT4GNszkVvexCNfa+4izR3BwDyAzORYBqbGs7SgjuWFdZQ1dJgC27hGq041LMhmUJ9lApscH02SXv/HP/qdzZ+5usVNXHQUGYmxtrpo9/hsaWStAr2nV3Q7QwnkfcCdszbw1NztNDjDA9LWlDTw/IIC/t+nm23fWb1TezBaXT5WFtdz6cvLeW9lqenkH8oGfRa7vrSRB7/YYnYCze3ebvu2hS5JTxyWZr62Dho7aloZNziVoRkJYQJ5U3kzbl8Ajz/Ag19uidixttgEsjR/z6C8scMc2IzJxQ1SO18NAAAgAElEQVRvreb+zzdHtGgU1zrJTA7OmEcPSKGo1slj3+bx+w83dO3igaYO7UH/d07XtyR2ef1k3fst/84pAjR/vu+3VfPiogI+XlvGR2vLmbe1Wr+WyBbfztLqRMpkUdYQ7HCKQiYg5Y0d5JY389i3eSwpt9+Xvbmq3PVxbtgE5Lo3V/HA51r7vOaNVTz73Y6w7+1u6uDVJUVmfksDo124vPbIcqMdGdcZOpDkljWZy4S2XfFCltqWFdSxflcjjU4Pp/8jx3Q5cYX4ILt9fgJShlnKQt0kbFYkb7CMxnVJGYwMr99LkOKs1btslqzlhXW2iUBJndMcgB75ehs/f/EHfvXqCjbqz7J1Mmpwy3trmb25ioKaVv4xX7sPVlFvCApfIIDL6+fNZTu58T/h+ZRveGt12EqGIWhmhSzRR3KFML57xtH9eemaSZw5dgCz1uwyXZysdReKYXk1luYNGpweW/v8fEO5KeoAc2k2lCG6DyyEZ9TIytRWv15ZXESLyxvRvc34iscXsN2fSLmyjbY4Z0uVeR1WcbmsoM6cjPsC0hSqS3bUUu/0EJDwy1dWMP7heTw5Z7t576aP7seO6lYKa1r5w6wNtt++9b11fLAqOKmWUrJS34Thnk83ma4BpfVOU6yX6pOvV5cU0er2MTgtnmq9z1wRsoFDU7vHZljp8PojTlhPeXIh5/1zaZhYMcST4VIS49Da4J8+0oPjQtwdXs4pZGlBHV/oLhfLLG48Nguyv/MgPZ8/3A0udNJnddfIr25l+uhMJg5L79S9yPrsb2/ws8SSf/essf0BrY02OD00WdwDI4m3S1/+gT99tDHMTcfnD9jcgFo6vOa9avf4OfefS4jWLcjVzS7WloYLZOMRKahpY/PuJvO7APmWDT1A8wfvmxQcE+dYJqXG+GusQKYlxDAoLZ6NZU1c/cYqyhrbOaJfMhB0yYpkQTaeOetKZnJcNEmxwfr/bpt9MpwQ6yDaIWxa6M+fbOKiF5fRqLe96X9fZKk3JZAPCdw+P68sLrJ1cF9srODfOUW2TseYPUdFGUvMwc4/EJCmlaHF5eWOmRvMwbIzC/JGfWBaXdLAeytLzeXH3763lnP/ucRsdF0hdEY8VHfeB+jQr8sfkBRUtzFmQAppCTE0d3jxB4ICxBDl/3v6EfxQWM/K4vDE8VZRvXpnA6X1TptgKWtoN/PVPvTVVj5dV852/byhQgw0oWh1BxmVmRS209frS4qZrAentbl9YSJBSklju5fkuGi+zwtfqusMo7N5au52Wl1e7v98My/lFLK8qJ7LJg3l2CHBSYbRobS6vGYnvLm8mfEPzzd3H7J24sbS5crienNWbd0ww2rB8vkDtl2O3trisdVB6OBg3K+C6taIOYY3lTextKCOD3TRvCefbpc3wAl/+958LaU0BxKfX9qDQjyGBTnyYFXvjCyGQoNzrn1zFb94eblpvTDamdWC3OLyccY/FvPpDq8tgh2CrhuD0jRfPavFxiraramfjh+eQWx0FHV6GauaXdz32aawtvTc9zu47YP1/H3udlxeP9e9tZrr3lxl9g0l9U6O0p8f0KytO6rbmLtVG0yM5/DlnEKe+26HJvR14f/CggJTjFqFuuGj6PEFbBaYSBSGxBcY5Sitt38v0j0y3rv+pBFMH92PBy8ch9cvzbROhgX7zWU7aQ0Rpka0/vKierOfWFPSwKRHv+P3MzdwxasrmPH3Rfzxv7nc+d9g+q3qFhf+gOTW99aZ74Wmy2oLEWPGfS2saePhL7eGDbRSSnM5vbHdQ4HFxcQQfNe9uYq7PtKeKeukPnRimhIXzVe5FTg9fh66aJx+rdoxVlEEWnt6dUkRT8/TVmtmjM4kIOHG/6zhy40VzN1SxXsrSsi691vmbq3ika+2mXVVVOu09X+GxX+Rbj0WQruHX+VW8Nn63Rw7OI1xg1PNvnRliEBucHpsuzZWNHXw7orwVa7Gdi/51a1hQbnukCV7axq16lY3bW6vWS4ITvwMcWQVmDYf5D1YDb3+QNizHHq8VWwD/OHM0cRGR7G0oC4sJgKwid7SlmB7TY6LZmSmJhTbXL6wFbvQtHDlje1s2NXEZ+t30+7x0y8lKFCXF9VzzyebzLooqGnD7QuYkwoAj953lTe2k1vWxKjM4JjW4HSbfWd9m4fNutW73e1HSmlu7AEwbWQfMpJibZb0nXXBz4379Yw+0c5IjLWVdXdjR1AgRwrSM3yQ9fI0WuovOS6apLjgBNia7s0gOsoukA0Xo0jpQw97C7IQ4jwhRL4QolAIcW+Ez+OEEP/VP18lhMg6UGXrDu+tKOXJOdt5L2IHE7zxi3XfR2vwiMGOmlaz8e5qaKem1c0lE4cAdLqv+saQ4LRF+TV4fAFTHL1nWdbfW3R26OdJsdEsved0bpkxinav9iBWtbhw+wKM6pdsCuRHv9nGtCcWsLywzhTkl00aCtgd/g2MIA7QxMQdszbaLMO7mzpo7gjW2SOWndtqLANEXZsbrz+gCeT+yeb7Rw4I/m3wt9l51Ds9tHt8XPHqCo5+cC53zgpal13eAB5fgGtPHMGQ9ATunLXRnBkv3lFrBh8BtoTn1mC6CY/Mp7HdS15lC60uH5NHZDDA0vEYHcq9n23m+rdWU97YzqPfbqPN7TOtOx5fwMyckJNfw/ytVVz52koufXk5f/16m2kVTImPNgdqKSUPfL6F1TsbSI2P5vYzjqRfguAPszaY98Plsd/bDv1+nv3cEk58YkFYff1OFyOZyeHpgvaG2xcwBYU3IG3WlA5PuIXR+ndnG3kYKw2fris3d4aC4KTD8Hm1ZrF4Z3kJu5s6WLLbG9a2K0PyK7/1w07TraezJfbRA5LpmxRrCtPHZ+cxc3WZ6crg8wf4+YvLqG5xk5kcx8s5RXy2fjf+gGRrRQt3ztqIlJKddU6y+iaZbggvXDmR848dGFYff5+bz/MLCjjygTmmaJ+9uYrhfRJJjovm+QUFphhu0EV7XZvH5sIRiVCB7LMIRSvWicKO6lZWFNWb/ZWRim5gWjx9k2JNq5Ih4FpdPh75epvtHFY3lXs+3QTAf37YCWi+4VsrWiL6d5c2tPPM/HxzAgFaG7Pe01ALckpcUCSVN3aE+TK2un0Y+qbR6bGt0HV4fXyzqYKlBXWmwLX2s9aJQ1Ksg6MGppgW4akj+yAEFNS0UtPi4vttNfRJsj9DE4amA5AQ42ByVoZZRtDu+YNfBvs7jz/AXR9vxOcPhAlcw/pb2tCui7kk1pc2mi4kQzMS6J8aT02Li0BAhhkNNpQ1MXN1cNXgnwsKwtqGla9zK5BSsqKoHo+l/ju8WkCWdRLe0uENE0eGC4GxgYd1hcIqarW4hshl8ERwsQjF6q4xfXQmU7L6mGX9zTt7jjEpbQkQ64hi1f1nsvSe083J42tLisOCeW99fx1FtW14fAHq29x8nRs0quxu6mDqyD62448dksoXt50CwGZdFI4blGp+bhjS5m6twu0LMOOofuZn9U6POR5ZJzbtXh/ljR221cZrTxwBQLxlpcZq4Ghz+6hqdplW5YzEWFtaOF9AmganoAU5WOdG+291+XRjSLDfiItx2IR5pB14o6Oi8AeCE9zEGO34SDE1B+uumAdEIAshHMBLwPnAOOAqIcS4kMNuBhqllEcCzwFPHYiydRfD8ms0VKt1w2j4SbEOM/2JYU0yBhwppbkJQWZynBkhPUF3c3j0mzwu+/dy87yfrCtn5updtmVW0FIjWR38jQEIoNYye15eVEeRnlnjH/PyWbyjNsyCnBDjYFifRNIStG0r3b4Au/XfG5KRQFpCDC0uLzuqW6ltdXPNm6uYtaaMlLhoBqTGm9ceulQb6paRW9bEd9uC/pI7a502dw9rBK8xALd7fJz0xAKO+cs8Gtu9ttn2VScMNy1IsY4o2734YkOFOVB/sbGChdu1+2G4V4zom8ir103G4w+YHcgNb63mN5bgvY/XljPt8QVs2d1ssyIYl2ks8w/vk2jWA2hWiE3lTabPZnGt01wmNYSs1x8wB9THvs3jFl2o1rW5+c/y4L08aVRf8/499NVW/ru2jNvPOJJND5/LXeeM4X8nxlHf5jEDQ0NdGZweX9gynpX4GAfjh6SZWRz2xF1nH2V73e7x02TZStz6284IKZesVuPOMkQYbdPwkzYw2lJcjDYYWMXLssI6MpNjafVo/sQJMcEBo97pweX10+HxMUofDL7eVEFOfg1vd7IZyOj+KfRNjqW+zY3PHwx6ufX99RTWtDJzTZnpT/rb6SMBuF93UZk8IoP526pZVlhHq8tHVmYSFx03GIBJwzNsaZlCxfzQjAQeumic2aavOGGY2c/c/XEuHR4/i7ZrYmTxjhr+/Ilm9YzVl2xDLdxWa6m1bkPzW1vv2znPLeGq11cGg/As/o0DUuOpbnHhdPvMtFagWcKsk6PNu5vNut5e2UK7x2dzO7rmxOGEkhIfzX9+2MnLOUW2++f2BsxBO8YhwtyRki0Wyaio8KXa+jaPaUF2evx8sq7cFHBOt9/mmtXc4eWmEHFkWNyS4rRYDIP+KfEM75NIQU0bt8/cgDcQ4MaTs8zPhcC0sKUlxNA/Jd68rxBcvjY48+j+bNndwtrSRlYW19tcDwzXgFaXj5T4aLL6JrHa4ufc6vIxICWeeqeH3PKmsH73lcVFREUJ/t95RwOwOETQHjskKN7SE2OYu7WKp+bmc9XrK3l/ZamtnTZ3eGn3+EzB9/7KUtuyPgS3LTYtyJZ+2RCioE1aA50oZK8/sNcsKImWJf6Xr5kEBA1MoSth1nEDoMktGdFX67etVtjVJQ0RMwu9vKiIR77eyuTHvmfm6l0296gh6QncccaRpnV8QEq8ucOdMbkZaxHIhiXWMBKcZhHIm8ubzc93N3WYmmLL7hbeXBYcF7Tr19rXOeMGmO+FGh7WWrYET0+MoU+S3epuGJyMjVkiTUqcbh9Oj982VsdFR9nqP7TOpAxOlIx2kKCXt77NE/Y7h3uat6lAoZSyWErpAWYBF4ccczHwjv73J8CZoiuj9gHGWJIosfgVGdS2ukmMdXDuMQPJ2VFLuye4o4wx+/77vHxm6hkhrDPgYwZrArnN7WNdaSMrixvYWefk7o9zue8zu//yZZOGUt3i5srXtNQ8/3fhWNvyR2VTB+tKG3hyznbu+iiXJ+dsZ/PuZl5cVMgNb60O260sIVZrBsYD1+HxmwJmSHoCqbpwLq1vZ9rIPozok8jupg7Sk2JIjHUQFx3Fk3O2M+r+2Xj9AVYU1bMpQkcN2HYo2x4Skfvnc8ew8S9nm3UJml+i1y/NGe4R/ZPpn6g1i4ykWBbdnc0DF4zF4w/YHtKn5tqjyX/99lpeWlRIo+4nnpEYwzGDUxmcFs+ygjrbkv2j32yj0enhUT035oaypj3mKx6SkcBAy+C3orjeFiz5woICc2A3doxravcyeUQGZ40dYLMggDZhOWfcAKaPzmT0gGR21bfz+OztvLuilF+fMpI/WYRqVpqDy6cMZXF+LVLKML/KDo+fX76ywnwdbenYb5kxim/vOJWpI/t0abe0rMwkzj0m2Bm3e3zBrcT90ibQjHZvFbJ1rR5qW920uX3mBMzAmCwYAsc6AGUkxpjLo/GGBTkky8KLV0/C6PutQgQ00dzu9XPh+EFMH53Jxl1NNqtXqC/wiL6J9E2KY1F+Lac+tchmcb3s3yt48ItglhqrfyzANdM08WfkDR7eJ5H7LjianLuz6Z8ab/MX9IRkBrlm2ghuOmUkv5k+CtDyjBqs2tnAKU8tNKPurzxhOGeM0fwmDX/kq1+3p+raUd3G17kVzNKth8ZzX9dm9wWOlO7MsNDHWzYzGZgWz8LtNXqaueB9FQhyQyxIN56cxaxbTsTtC7Bwe42tfU0anmE7NkrA2WMHmOe87qQRwbJ5/Xj1NpSeGBu23G1dsm9qD/dBbnC6sTbtFpeX566YCNhdKKIErC0JdxObrJc1MdbB6AEp5vtpCTGM7p/M5vJm1pQ0cMNJWZx0RF/z80snDjEFhCEKjxkcFEm/PmWk7Xd+PlGbRG2raGFlcQNTRgTrKK+yBZ9f220tJT6a4RaXOCHgttOPYFgfrR1e+rJ9wwnNcABPXz6B8UOCY4xBn6RYfj5hsK1crS4fb+kGl03lTTaB3OjUAmqN/s6IuwBYWlDHxrImc2Us0rJ9itWCHAh0KpB9frlX0WR9bo3zGitaVpcGwLbyaDDK4q4Xmt40dIe6LzfuNt3QdjW0838XjjXrLT7GwZ/OGcNJo7T7HxsdZU7c1u9qItYRZfrKGyTpY+2Q9ARGWj6bs6WKeSETjqP0ldLQCb3Rvn43Y5TpQx2KNbNJRlKsKdwNRvRJwiG07CiPz84LE679UuJwuv1hLpxx0VE2C3IkHPo9MNyXDH3R4PSE5d3eVd/Op+vKu+UqeiDY8xXuO4YA1jxh5cC0zo6RUvqEEM1AX8DmECWEuAW4BWDAgAHk5OTspyJHZmo8LM10kLOtgr99UEdGfHCO8dnaEjJiBaOj6/m83cuVL3zPpAFao2jrcHPfOwv4rEB7gH99bCwf5gVnuSVb7JaLt79by/CU4LmjBNw0RrK02sH0tHo+1d+f2M/BME8pCdFgeDR8uGCt+TsALpebr0TQ4rNy9Wrbb21ct4byhCh26QFf97+fwzL976LNa9hdaYi7DoYleJiQHkVJPXhdLhYvXkxStDQHodc+X8TTazUReOIgBwIwHrnUWEGLx48AUmIhr8LuNnKMKGfj6nISomF9XhELKePZtfYZcV3RFu6bGCA+Mcm89zW7tbJe9a+gf2xzh5eYKDDG8aQYeHpevukTuDN/G4vr8hmR5GVpfiXvfh2snzeX7WR7cZkpuB/8Ygu/PtbesYxKi6K4WXOTyN+wioaK4KCT4vBjlf5rSxs5vr8Dj1+yo7yWL+YupKbVTR9/I+dmxbCmyscSy/EzBkdx5XBt8P5hdwu+gOStH3ZyxrBoZqTUsHhx0Arf1tZGVIuXVrePL+ctotlj7+AWLLOLpkFJgrJW7ZjjY6tYvbyaukoP7R4/CxYush0b7wCXRTsV5m+juSF4nfMXrzA71IamJlauCVrjNm/fQY6nhK2lwXa4cMUanlvnJiNOmJMcg/RoHw1AfmEhOYFdeN1BC1sMPtbkasvR7a3N5OTkkFdo70hduzaTHiNxegVRPnvn++XCFUgJleWlpAdgWaWX4XHBY9JiocEFUwc66JsQRUtxLj7d4lnV4rJZ+5o7vJw0yMG2hgDNbkl5YR5/nhJvtvn23TtIjxNm8FlF4RZ+qNH6gBKgxtJOGppamL8gB4DxmQ7GyF3k5JQxSkqeOS2BirygL65RR4P6RnF8/2jOTNe6xeRxsby7zcNNL3/H+kq70N1UUsN3usvQwPZidpZqz5LHH2D29znmcR9/v5LUWIE1IcX6TdokIHf9Wmp2aB8UV2h19nJOEX3jBfUu7d6v3lkfFhjWXllEuyuK1Fj4IGcTNY2WZflS+6YM6XGCRFdwwtJSHfTnXbxsOYV6ncUEPGwrsWer2bZxHTcfG8ubWzyU1bfaJoAAXy9Zh9PjIyVGMCApiuvGRSOqtT5g/gYt4PaEgQ7WVPl5d8FG23eTYyDQptVzwOPCWVlkfrZ82RISPB52NWjtO7Wjks25mrAZlCS4oF8jb27W+y6Pk5ycHFK8Wpu69bg4TkypYV0/B7m12j1rLcsnNRbeWJRHnVNy9lCJMSK4vAHe/2YRZVUeAn7wNgTr4F+nJ9JQuJHYkOf+6RkJVDoDzC/1kZUaQ0xNHtubwidCz06PYUd9ifl6oLuMlBho1TvOVQWVjEgNNoz5S7W0gP42bTIR6ut7+b9/4MxhmqzIK9hJTnSFbdJSVR78rdVr1lFWEXlivnnrNmT1nneabGwItjljLGjSBZbf62XhomB/1t5kb58AMR0N5veklDhEcKv6eGEvl1XIR0dBRttOHE49D3RxCTk5FTQ1aH1AY30t61cFDSQef4DdpfbMQFkpkq31MDrZy4a1Wp0mREO/hCiKQ6zfg2JcGGHT1ucub8tG3GVaHU1O9vM94Rii/p4T4lm7YhmVIUHdO3JX4RASp8fPp6t3khWwx+RkxnipafawYKlmZIl1gMcPzY31bFwbOUUkwIkDJKU7tUnWV7kVnN+viXbdur1283Y+/sE+kf1saS5zS3w8dkoCQ1MOntC4AyWQ9xlSyteA1wCmTJkis7OzD3gZYofW8bv31vH6ZvsgLRwxvHrTNI4dkkba0F3c//lmNtVpnZLTC+sbYgAvF44fxF+umcRbuo/lpofP0Xyz5muv0xJiqPQlcvLIobBZEwZjBqYyPcvPgzdmA/Da9qU0d3j54q4zAPhl2xbeXVFKbHQUK2scQPBBaHRLaqL6AlrjHz9xEiwPWhpOn34KfZPjSClt5MPtK5mzM/jdc888ncHlzfxnyzIARo8YyulH9+PLorW0+R1kZ2czaNNSGnQXguJAJtr8B+JT+5DR0mwuE91x9tE89m0eGUmxpCfG2ILPAIx72W/1IpL7pOMYMpQt8+xi/hfnnc7SJYux3ve0XY28vnk5+Y32QWL2H2bw2pJirj8pi3GDU3nwyy1mBodLzjqZQWkJVCbuYsVnm3m3wD6wLq+0d5ALKqMBD49efAwur5Y14R/zdzAoLYEzzzidxKJ63tyiidF5fz6bJ+dsNzunf14xkYsnDuYvX27l600VJA8/BljLpadNZurIPqTuauSljdr9OH54Oo9eM8Vc2s0oa+L1zVpn+/zNZ9gsMKANDOeNOZb381bRf/RxDIuOguVBi/Gw0cfCirUkxjpo9/g54chBlOni7dwzsomKEhREFfNlUR5i8Dgg6GIyPDPZFhQyddJEqjZWsLJSm+sOPnIcrFwPQGJyCkeNGw1rte/3Gzyc7OyjyV9cBHmaNX9Q1hhYt4lGtyQpMZ6jBjho7vBS3eLm2KyBFOdWMHzESLKzRxO7eiG0a4JMRMcyYFgWbMtnUP9MsrOnsMa9HQo1wZIQo7XD6OVzgADTxgzlFxkJHD8sg6teX0nSwFFAHseOGc2wPol8XbQWZ0waxtx7eL80GsqamHx0lrkMvcqVxw8V4enunvjFeK48YRhnPbuY5lon00+cwjGD03h6rfbsnpN9Mvn+QjMm4GdnnEpfS+YVmV/DK5s06RMbn8i4SVPh+0Vcl30MZ0wZFvZ7j8SWmPmqH7x0MqcfbbcUJZU08O62Fayo9JMcF22zDtZ2BJ+HU6bPYFHzNijRytWQPBLQzvvqpnB/8MyhI2HTdmacepK5je6dabvNoLrLp42kX3Kc+TyHZm751bnT6ZMUy/SK9eSWN+GP8gPaMRefk82fl8wxjz1iYDqXZo/l/TztGTjv5AnMytfq6LhJUyhxVBBTUky/PmlhGwWdnX0qv0yMJXp2Hm8vL9HzJGvXffTAFJbXSTzSx7Qj+/HGDVMAzR1ILJpDcYtmgb30pHGs+XwzG+vtfcCwzFTGHjmA+aUF9OuTxgWnHcez6xYDWl816UQvO/69gvzqVq4+71T6p8TRlLCDa04cwYDUeBY2b2ZF5S6GD+pHdvYUpp7s49rKFiaP6KPfkwCjH9Dq4dzsU5hXs5GlBXWkxEVz35XZzHx4PqClttvsziQ6oZV+ibGcdWIWH2xfQ5SA88/KNi2ptUk7Kaxp49xjBpqrUndYrmdQVSusXEJcdJS5spOdnU3m7mZYtUy/N6eR697GB6t2kRDjoKrdz9hhfaFSm5RnjjgK1m1m6jFHsLjc7gYF4AtAfEZ/KK0gNXMg2dkTCMwLxhKMHzuGmdu1FdHjJh5PkSyHsvAc+6NGH8W0Mf0hZ2HYZwb9+2VCTbV5HQC+udpvJSXGc9IpM2DeXAAuOXkcP3yyyfb97MnjyJ481HydunS+uRLbLyOVSmdwVeSSiUP4bMNubjw5iz+edRRpiTG0rCjh88KtpPYbRHb2eL6o2gBVFQwbPIizzpjA6wOr+a3usjfhmLG8ty0YXH3XRZOoaHLxK/2Zf2zNAh7++TGMG5zKRf9aZq7ACQFZw4awuFx7bkcNTKdeDzSefuJUc1UjpbQB1gT7fYDZd0zn43VlxDiiuO2CsQA0bdgNW4ITwbPOOJ2YRd/iCUCrTzB5ygmwbIn528ePHsq3myoZNfY4WLGawemJlNS3M3TQQM45Yzwsmht2X4b3SeTlW7K11eJ8bTLsGDSWvuVlUFvDV8WaH3tmcpw5wYpL7w9UcN7pp9gyVfU0B0qq7wasvf9Q/b2IxwghooE0IHzadxBw8pGZrHvwbB69+BjzPSHgg99MM7MZXD1tOP97+hHm50f2T6akvp0Lxw/i2SsmAPDG9VO4fPLQsGjcK08Yxpbdzbb8rBOHpduO+ey2k/n+T6eZr2/LPpLbso9g5m+n4YmQMuU7y5aQoUuqhm/Q5BEZbH/0PAr/dj5z/jCdz247GYDxQ9O4aqq2dJyaEG36U0VKT2bNR9zc4aWvJXBl8ogMzj1mAKMyk8wUMf1S4vj696fyxf+eYh6XEh9Nq8sX0a0hUmqs44dnsOK+M/jXVceb710xZRijB6Tw9C8nMH5oGo4oweOXjifvr+ex84kLGJSmDfrT9ACLsoYOLpkYXGoMXfkzIv9/PmEIv50xylw2NcTD8L7BZc+U+Bj+dul4rjtxBB/+dhqXHD8EIQSD0xNoavfy0doykuOizSXPgRb/5c9vO8UWaWxfBrS3E4Mj+mvHXP36Kr7aaLewGUGRxrKs1RfOyLBi5LP8aI09En9wut19ICHWYcu5aW2fXr+0+bIaLjLWpXirb3xVs4uzxg7grLGaG8H00Vo+W2NDEsOXLj4mCpc3YAZ2GCuA1iC9O88aDYCxquqIEtyWfSTHD9eemWDasWjzObIGMhn1H2NpW0a7PXpgCucfO5A/nDma1Q+cyVVThyOE4LkrJpI9ppIo2dYAACAASURBVB9HhizdpifEcpll0A0N3IqxZADw+AOm+0afkKVPgxtOzjLb/DEWX1EDa/DPLTNGmX+nJcTYckLvbuzAG5CkxEdzZP9kM0eu+TsnjeDNG6ZwtL7blpFyzboRyCXHD+HKE7Ru/KLjBvOb6aMoefJC1v7f2WHPpXHdU7IyKG/ssGX4iY2O4kvL8z4kPYGxg4LuC9lj+nPraVrf6fJqmxDEOKJI1n16b7C4YBhtNy7GgdsXsLW33502ih3VbZS3BmwR99GOKPokxuLyBsjqm8QI/dlt7vDyi0lDuOe8MVwxZRgPXTTOXHqXUppbLhukxsfwzR2nMv+PMxiYFk9UlOBP54wx4xGMZXSjr0iMjTbFMWgbRhhL4xmJMea9PGFkH9uYcM20EXyxcTdbdjdrLhZ6edMTY231ftMpI/nbpePDXLYMjCXuE7L68P7N0/j+TzNsdQhaUOYvJmkB45ccPwQp7TvQGZtejLG4m1j7LwjmHjf8ga19qbX/8PkDdBab9cDnWzoNWDcw8i5HIkoI0y3vlhmjuNzyTBpY+9ZQ7j3/aFs9/u60I3BECcYOSiFNd78w7qtRTmMDECMo9+xxA/jF8UN4/sqJYfm7R/RN4toTRxAbHUVsdBTrHjybiyYM5oh+ybx381T+fO4Y8zeclvE63uKfn2AJzot1hFvbxw1O5aGLjuF+XRxDsM+34tA9WT2+gC2ALjM5Tvt9t8/sp/rr9zouOiriJkFGmR1RwubmUljbZo4PHn+A6aMz+Z/soD6q1jdrCnUB6WkOlEBeA4wWQowUQsQCVwJfhRzzFXCD/vflwELZlf2He4jY6CjbBhuf/c/JtlRfANedmGX+Pe/OGbxx/RT+ctE4MzL8rHED+McvJ4Sde/rofgQktg0Ajg8RyPExDtsDMjAtnnvOO5rJI/rw9e2n2AZOsAcEhaaSs/oZCiGIdkQxdlCqzVfQGJwSY6PNDtHoSI/To7Ufumiczee0ucNrC0rqmxTH81cez7s3TzU762EZCYwfmmabAGgC2dutrX4HpSWY0cRPXTaeJy8bH/G4hFiHLSBtZGYSR/RL4qqpw3j8F+OZmqWdw/AnA/j7ZceZfxsDrTGoGD6ooYMEwKOXHMvJR2Sar41j52+r5rJJQ8z7Zwjiq6dFCl6yC/FIWH/7nZDsKobQMUTA2EGpfPo/J/HIz4OTO8Nfbu7WKpugCxPIMQ5bB22kAeqbFIvPHzA33uibFEtNq5t1pY089722OJgcF21bjvUFJIPTE/jdjCN4+KJxXD55KDEOQc6OWl7OKcLjC/DQReO44aQsXF6/KZiDG4VoQY5bHjmX3+liyuj7jVzB8TEOBqbGs0TPKJMQ66BvchzD+iSY7fT166dwlC4Kre3CsPoKIfj3tZP549lH2bZ1PW5oOm/fNNV8lo1o8NjoKHPiE3pOgJOO6Mtt2Udw1tgBeHwBtuhpnPruIYvIOzdN5eppw8O2lQWtHR41IJnzjx1If70dTR3oYOZvT7QdV1ijBXomx0VzxtH9bVtqA0wb1Zczxw7grnO0gdnY7MMaMAfwwIVjefumE8L6OkMsRAn7JOyErKAgvPbE4eZEeMKwdF68WpvQDs1IJDE2mocvGsfn+qTc2ACkw6sFB8U4orh4whBuP+NIfqtPBBJiHKYoCRUgAD87bjBD0hOQ2EUgYFqpxg1KtfmAXnTcYG7LPpKnLj+OE0f1Nf0s/dIuTgxiHFEcZRGLVgwf0VD/Viv/umoSi+7OJtoRZfrOp+rHP/PLCXxz+6n8bsYooqMEAan1B0MzEogS4X6yeyM9MQaH0ILCTh2dyZH9U/Ry2q9r8og+LLo7m9/oAahVLS5S9Howlv9H9E0kLjqKGIdg0d3ZrP2/s/jm9lPJTI4zDSeRYlCsG8t4AzIslZsVY4XRCIQFu29xJP/lX03RhHCrK5jRZlhGQsQg5CMy7ZNbw0f/uSsmcPIRmbz766l8cutJzP/jDMYMTCHn7mwzaxPAjNH9GJqRwK0ztP4nOkQgAzx7xUQunjgkTMz3Ter8eZ88oo9pMEhPiLHFlVjboDVIriu7coIW0HeCnlHFaGfWR6fakj1qUFo8yXHR+ALB7aONyV9sdBRCCF65dpI5ZhoYItxhMQYU1zptBpQ7zxptE9g1LW4yQiZ8BwMHxMVC9yn+PTAPcABvSSm3CiH+CqyVUn4FvAm8J4QoBBrQRPRBjdVqaI3ONbCmznJECc6yBN1E4p1fT6XD42fSiHSiowTbq1pJjovmsklDOPeYgWxYXbTH7xsMSkvg7V+fwNS/aWm9hNBm8cb/ofu9R5pVhmIIAY8vgBCC7Y+eZw5O919wNH88azT9UuL4aG25uad9ca3TNlhmpsSaD7gxYFkDTgxS42PY1dBuBiSBZrG44oTwJWgrfZPj2PnEBV3KyGAghGDenTNwRAmEEHx060l8vqGck0ZlmmnRLjxuEI98vRVJsBM0Bk5DuHblwR6SHhQ4152UZf4d44gi96FzOg16WHrP6XscZK3Xa1jfDYxMJz87bjDDMhKZkpVBfIzDZslKtljXLp44mP/8UGK7NgOrIIGgBblvcqzNgjy8byI1LS5buqrM5Fhb6j7QJgzD+yZyox6wFB0VxabyZjNDxKC0eBrbvbh9ATPdkREI6Pb5wwJFrBZkgwcuHMvtejosQwgcPyyDsoYORmYmcfa4AZx2VD/6Jcfa3BcMwbq3SHqDz/7nFGrbXObv/3Ly0IhtwhEluOe8o/nLl1v4odDHE3PyOH54epjgtHLq6ExOHZ3Z6efz7tQsgd/oWVMCUltVcEQJ00f8w9W7SEuIIdqhWcFC82UbkyGjH1taUMdZY/uHCcuU+Biyx4QHBKUlxNDg9DD7D9Nt1sWjB6aQFOvA6fEzZkBKyERYn/zpE8cbLYFrhjB3e7UsIjEOwa/0579G9wm3PhNxlkn+oLR4bj51JDGOKG4+dSR//Wabac01yEyJJb8axg5KsU0EjXRsBskWCzJoLlB7mqxaMUTLnsRLQqzDFOhnjh3AU3Pz+fWpWj1YVyJ+MWkIM1eX6UHRDgalJYStTuyNlPgY/npyAr86JSusDGAXbSMzk/AHpOmOkZoQQ6s7uG3ywP/f3p2H11VWix//rjMkOZmTpk3SOZ1LSyltaaHQ0kKBUkAGAWUWRCZFrzggiIqCwBX1dxVH+CmiOFwVLygiPIggCCiDFAW5lMECLVMLtLR0oEnW/WOPZ8p4xmR9noeHJuckebNyzt5rv3u9622ooj4Rp2NEDYkKZ7KmpbaSlbNbufGvTmlZpr7r4R7Kp/3wIY7Zc0zW8XoXuuH4jaqrSjovjKqr5IP7Ba+brxy7B631VXz77mf9mV3v6+NRYVeXkohHiUmXPxPsOXR2G796dB1TRgav3wWh5G9cyrmqqaaCv1x4gP+xl7xn+nsn1zBL2l3jVN6kydF7jvU3C4HUBDk0g+y91qKRrBuleF9//ekLmf2FO/jogVPd8QSPvxb6m7XWV/nHV6+N60j3wtJLblfObufPazby0No3/fh6R73wafi5DVvZ/m4XK2a2cvGqGUwaWZvUb/r1LTuTFrqXioLVIKvqbcBtKZ/7fOjfO4DjCjWeXGhIONs81lQ4rXdSxaL9m6APt3uZPaaB1S9tYlR9JV88cna/xxZeLT9nTAOPr9vMhGanfqinjgzZ+P1n3avy8Bu1rirun+xOWjSeS0Kr/EeG6onCV7z+DHKGBLmuKs6WHZ1+a7sPL5/Mpw6Z0adxDqTxSerf6eg9k2/H1VTGOG7BuKSEzztxhrsY3PLhfZPaTqXyTsT7ThmRdms+0wWWJ1OMsvnvs/bh9idf5ci5o7ngv1f7Tf8njKjmiNBq9bDwjkiHzm73E+TRjckHrERFlHDO55UpjKip5KW3tvkJ8sQRNdy7ZkPSAXxkXWXaHYHURCMWlXDpPG0NCX/Gyvu/9/rbsas77RZfJEOCfMQeo3ll83auuO1//dmPueMa+a27jTo4J5fwBYvzO7kJch9vYjVUx5NOuFdnuDMUVhGNsH1XF5FO+M/3zkm68Ogv7zXvncx2dOImUVX+e+jhtW+y/7SRxCMRZrSll2p4f2vvdRiPCp89LLUTZ3ZHzGnnm396lvqqeNJ7MBaNMG9Ck1Nbm5IUjG+uJhqRpO4OHu/4smNXl5sgB/Hx/h1OkMMzyF89bg/2neJcULx/4Tiu/dNTab+zP4Ps/uxj5o3hqVe2pCUuXky918H/nLcvfeV1ZKno4992XHM1T122MuNjCzua+flDL/GCu3PfyXtP6PFYk82Yukjaa62+Ks6nV07n0NntSZ+PRoSprbU8sf5tP9YvvLGNusoYdVVx/mPFVCY0J5/3Vu3e7ifI6zdtT7vATF1Ema0XOQR3i8IXPy11lX6CfOaSSWk9iAGWThvJNX96lqtvd2qkvd93fHM1z214h4ZEnPpo+vv66uP24NL3zEq7KOwrL/mvzPD3Dh9Hmmsqep2Uam9I8NeLDqS1vpJ1b23nj27ZSlXomBc+/nkJ8sSW6qR1I5nUVsZ4/opVfgIbPoyGFyS31Fb6sfjxgy9QXxXzO16FLwK8i1nv4sX71cJdjf6xbjO1lTGmt9Uxye0EFh7/1p2d/b7gK4SyW6RXau791HLqE/E+zcL2x6KOZla/tKnXK81sohFh+fSR3P30Bg6Y0crj6zYzfkSNkyD3oaVXquUzRvG1O9dwwIzM7WQ8Jy0azwtvvMN19zkrWCsz3PqEICkb15QpQY7x9o5drN+0nQNmjOpzcpxr3z5xnl+acMlhM5NuB3a01NBUHU+aEdsjpQwmVWtdFScsHOcvzMiln525iPue3chuo+v9k/6Kma1++62eWvJ4Sf6Z+3Uk3bYdWZueIIeTH6++uaWukrVvvOPXto9rruaNd95NuvBoqa1M68ecWsKReuJub6hKKv+proimzCAnzwp6tXSp10hnLZ3MUXuO8UsU5rq1yT3NynvxyteCkbh7cjhm3tist+j7y/t9ut1FaiNqnZNre0MVr2zewds7OolHI0weWZu2y1WLe0E9sq6SiDjtvjpastdopvqPFdN4/8LxaX9TcNYeOAlycrw7Wmqy3jnxTrqbtu+is0udiyeX9+9wwh1+nYQvNqsrYly5JMHylBrUoMTCmbn/+vFzM/5e3ph7mJTLyus7HZ41Hai93ZIvb0YzXL+ZC+ctm5Lx89Na63hi/dvUuzF9t6vbPyaetGhC2vMXdYxgZF0lG7Y47TlT7xql3lXJtKuax0uek2eQnb/bh5dPzpgcg1PW8/69xvl19t7X//iDi7jjiVeZMqqWp5/8R8avHWhyDMEFeqaL3fBF4Ig+HlO8GdVxzdWcvPd4bvzri1TFo9x6/n7c/+zGpGOxN3s9KWVhddaxhv4OzkWLcywIJ8hN1fGku4u1lTG/bCL8mvaS5pbaCtZv2u7/jb2/38pZbdz+5Kts3r4rqWQrNU4D2awq3yxBHqRRGWpPwxpDPVz7Y9GkZr5/7/M9nsR788MP7MWGrTt5/e2d/L8/rmH26HruXbMh63bWPZk9poG1Vx3W6/NEJGnTjNRNCTzV7htvbHP6CbW+ylmNv+7NbUn9QAvtsDnBjEosGkl6s7Q3JHjs8wf36/tFIsKVx8zp/YkDsHhKC4unJN+GP3BmK1+7060B7uF1NLapmqcvX0llLOrfQgUYVZ98IE/Eo/5tz48sn8LK2W28+OY27ntmI7vcPshV8Qjj3IT7xTeC79VSW5m0fW5DIp6WGKXOLrXUVibdqdhrYrO/AcDOzu60iy/vmB3NcBchXL+7W3s98agk7cKWqqOlhi++ZxaH7t6W9TmDMbK2kkQ8ysdTNl8ZjD3HN3H20klMFafUwrvYmTyyllc272D9W9uoikepiEWYMqrW39b9pEXj/RNmc00Ff/jY0qQt3fsiEpGMyTE4M3rfuOsZxma4GM524ebdfbjoN//k8Dntvc4gh18LjSm3zjPdVTp0dhtd3Uprfc/Jivf662upTZifIEcHP3nS3pDgsc8d1OOdpnzwFm2GJ2raeygxiUaEX5y1N4+ufYtP3/QP1qXssKokx7Gnvrepu2eG6657u+Ny0aqZfoLsPXdMY8IvX+l+uecWcgPhvUQylVhMGVXHr8/Zh2O/9+CAEkFvMqAqHmH2mIa0kqzKqHdHtm/lP2Gx0MszXGLRkIgnXTB0dqu/4jL8lvIuTr2LKO/95k1mzGyv5+0du3jguTeSjuepd1ZKcQa5dBrODVH3X3gAj3+hf4kUOIX6IsGLbiBEhFF1Vcwe08DfLj7Qn4VIbbafa6t2b/ffQAfPypxg1PZQg1xX5WxMsmVnZ9pGDKbvZrbXMdqdhegpGYTgABw+uE8dVcv3Tp7nN8SPRyP+LEm3KrPHNLBq93biUaGz29lJLxGP+qvDn3ol6AYd7swB6bPHkL4LYDQi/uzE2KYE7Q1VvPjmNh5/aRM7d3UnzRpCcDDrrR68Kh7ljP06OGR29jUBIsJpiydmXBiXC6fsM4F7P728z/WsfRGNCBetmklLwomE1xnDO/Gse2u7P6vvJT6fOGgalx+VXMI1va2u3+VhPZk3vom/X3IQ09v6PlM+qr7Kr2V+ZfOOpO4fGUssQq+FvqyEXzCxmUvfM6vXkqzBLBo60O3Qsn+WrhL91dSHW/O55t3dqK6I+hew7b1MCk0eWevP7qa28kztWvFmDwnyy+6mSv7ixUTcn8HsLUFuSMT9Y05fF7ANlldGke29493x6GmBXjbe75BpoSg4EyALO5pZMrX/r7VsJRZ1VcmTGLu6uv3Lm/Ciw0RKt5bUEotERcRfgJ7IUDftCZeFlgqbQc6zgd6yaUjEOXHh+LT2bgPVWl/lzw4+8fLmXov5B2N0Y4J/X3kYqoqIMKYx4e8b79lzfCMLJzb77dbCwie+XCYQw42IcPCsNn796LqMq/wzCZ94RISVs9s5aLc2vyuId4IOT6jFIhE6u5Tt7zoJcoe7OvxfrwTtocKlClNG1XLEHsn1jpB84ebdMvQSnzljG/xFN6f/6GGqYhF2H5s8i5LaxaInFx06s9fn5FM8Gkm7aMi13UbX85vH1vulEjs7u6lw4zqzvZ6bV79MQ3V8QHX7/dU0gKTgs4fN5NQfPsSaV7cwoSW4kI5GhIgkX/R5iUM8KmldGQZj6qg6Tlg4Lm3nu75Y2NHcp7tupcyr3a6IRaiKR9m6s7NPi6nGN1dTXRFNOgZAek3/Wz2UWLz4pnO+8u48OO3DnMdSd8rLZGxTgg1bdqbdmcq3bD/OOwb3tcQi0/fMdmEQjQi/PHuffn9fSE6QXw9tVV1XFUtaN/RuZ7ffsi9pBjmemiA7D3oXVzPb61nUMYKFHc1J+Uzq79JTJ59isQS5hH356MytygbKeyE/sf5tFnY086Elk3roJDl43on3/s8ckPbYATNaOWBG5hm88MnUZpAH51OHTOekReP7nARlmm2JRsQ/UHrfJtyBMRYVdnV1s2n7Luqq4jRVx/2uBgAnLByfdFvxwpUzkrZRzsT7ed5rdvcxjfz4wbVAMOv06ZXJtene2EqtVVCxnL5vB2ObEiye0sI37noGCGoHZ7jdZbL1Mi0FXmK/ZWdnWh1vTUUs6TjhlVg0JCpymvBH81gWVQ5a6ysZWVdJo7sgfevO9MW7mUQiwoy2ul4T5EyVK17v8xfe2EZEglrchkTcn7nsS1332KZqHntxU1LSl0/e75bt1ecdywaSCHphy8ehLXwBEZ40q6uKJfUP35VhfwUI1gss7Gjmp3970Z8tPnb+WOaOa/Q3M0lN4G0G2ZSU8O2ZvSeN6DVJKZbwrHFqc37TPzWVMf8A1Re9JUze7EBq26LObmX9W9sZ4/Yc7WipYfVLm6itjHHlMbv77eYgc8/aVNUpPaIXdjQztinht2xLxKNpr1/vMG/5sSMace4AAH6rNa8edu7YRqaOqmV6ho4WpWJ0Y4KKWIR3O7vT6hV/8IG9khYRencaUuuPzeCICDeds5iG6jh/eMLZSrstw12/THYbXc8tKRsX9eVYVBWPsmNXNy++uY1RdVX+MakhEe/Xe/tTB0/ntbd3cODMnheW54p3TMxWBtNSW8nxC8ZyYJaJoZ74pQ19uPi79fz9+lWrnu1wPKquirFN1dx07mLe+90HOHWfCX4NeXgUXgnX7inrlESkx7+31SCbkhJOfvaelHkFcCkIJ8gtJXhVOZT1Vtvn1VMeEqotj0UjdHUr6zdt9/92k9zkxbsoC7f7S+0+kYnXBm/2mAb+cuFy5k9o4og9RnOKW6pz8KzWtPIl79xR6DrNcuA3+Hf/vg3Vce68YP+clXDlQzQiTHQ7JsRjyX/ThR3NSSUq3kVXY4EXsQ0H40dU05CI+/Wjo/vYr3a39oa09S6TR9byry8dwq/PyV4O4PfA7uymraHKPybVJ4JyoL60Xxw/oppfnr0PjQXanS0oP8h8/IlGhK8cu0e/avFTv3dfzB7T0K/WoJnmRC44aJrfDcnbYTe8I1/4V9x/2khu+fC+fvu2vkqbQbYSC1NMXrJSEYsk7ZJXasKzQJbsFFZv5Qkz2+vT6iq9LZo3b9/ll8R4s3veIrtMyUw2X3nvnKTZ4XD3g3b39u6Rc9N7Onsjz9TFYrhrra/i+Y3v5KSjQiF1tNSw5rWtvd5Sr7QZ5Lzz3rd93dAhvH14WHVFjAUTm2mprWBjhi5H4Tud7Q1V/jHJ28K4VHnlIvkYYT43FfZKLLyNxABWpXTv8f4mmYYRiUivLU4z/tyUY9FAFi/mmyXIw4h3gNtzXGPW1bCloBCLhkzuhFdtezPIHW4nC282KPx6620G+fgedkxcNbudTdt29bhau5RPosXiJTW57E5RCM6Cz9d6vbNRFapBNvlRFYv6m4T0RaYNacIaEvGMCXL4TmdbQ5WfwDUk4nS6NbJ93cCnkLwkti+LhAcqH9/auzkzqq6S19x67Wy/Q39KPXoT/hkiFGymvz8sQR5GEhVRquIRluao7VA+/eFjS0o6iTeB8CKP1BnkTH/DvnbUyGRiS03Srb4wbxh2gZUutcSiXHilOr11LaiM2wxyviUqov3aDjjRSzcRJyF6J+3zqTPIIsLVx85hUccIfvq3F4CBbdySb/lcSOclpvlIvr3rkbaGhJ8gZ7tjc/bSSbz05ra0rlQDEY5Tc3VFSU5sWII8jFTGovz+o0sy7l5Xama2l+7ioeGgtw0UwsK3yrxFld7W60lbklfG2LKzM+uB8Hcf2S9pt8KBKrMqgoLw/p6Fbnk1WN6diN5mkKsroiTi0ayblZjBO3vpZLa9m7se+qn14tGI0NWtSRfQ3oLA49zdR/tTg1xo3Rk20ciVQ2a1ce29z7N0AH2Oe+MdL9vqK3nc+1yWg2hjdQXfOnFeTn5uuMdyKS7QA0uQh53J/SykN8PP3Z9clrTldG+82/YVsYi/qLKmMkZbfVXS1qLXn74X1/zp2aSdFsNS+xr3l1+DXGZJYCG01ZdriYWTIPdWOx2PRrjtY0v8TSVM7u03taX3J6X42ZmL+POaDXz/3ufTHmtIOcbEo06CHI9G/GQ59e9Zym/t0xZP5ObV69l/Wu67Zsyf0JS3ntreRUd4T4JCrOMYUVvJrefvx+HX/MUSZGNMeQi3z+oLb5HemMZE0qLKM5d0JK1MXjCxmRvOWJibQWZiXSyyam3wSizKKzYjaiqcDgp9KLfq7+vW5N/iKS3sM3lExgS5MaVePB51+h9HRKiIRtje3eVf2Hm8nWX78nootNljGnjmy6uKPYx+8w6XI+sqiYiz2LBQkwyz3E4ZLQPYPKUQLEE2xgyKNyuZuuvhmUsmFXQc3iYC+VwkU67KdQZZRPjeyfNtR80ylm1NQGq9eGUswhachK0iFmH7rq60u01n7NtBRMhJDaxxpPY03rj13YKVYokIsYjYDLIxZmjyFlAVO4mxNm/ZebNDpbxzXjb7TB5R7CGYPEhNkL0FpBERp1yrtjKtV25FLMJZSycXbIzDQfhw2VJbycat7xb0LtxpiycWbDOX/rIE2RgzKN7tuFLZFtzy43TxaITvnDSPWaMHV+dtTK6k7vbmJcORiFNiUaqzikONd7js7la31GFLQRfzfu7w3Qr2s/rLEmRjzKB4LYGKvS24lxiX3vr20uBtO21MKUjtexv3Z5CdDgfFviM1XISPm96GTrbQ2WEJsjFmUKrdfqfj+7G9aT74h3TLkI0pOStSbqOntnmLh0osvnrcHtRVWXpSCP4Msiot7qJqS5Ad9go0xgzK4skj+NaJezJ/QnG3Lw9mQixDNqaUPHfFqrQtmFNrkL2kLBKRQbd8NH3nHzfV6be8dWdX2fVLzxdLkI0xgxKLRjh8zuhiD8NXgnsIGDOsZZqRTG3z5iVq1oWmsLxoqyoLJjazYGJzUcdTSspvSbMxxmTgH+iLOgpjTF/UVcUyLqi1ycvC8v4G3XbgTGMJsjFmSAhmQoo6DGNMH0QiktbJAmwGuVhKcfvuYrME2RgzJAQzIXagN6YcLOpIv51vCXJhtdU4aeBE24kyjSXIxpghwUosjCkv3z9lAR9a0gEE718rsSisvVqj3HTuPhw3f2yxh1JybJGeMWZosBoLY8pO1O2j7t0CshnkwhIR5k+whXmZ2AyyMWZIsBlkY8pPakuxQm5zbExPLEE2xgwpNoFsTPmIRVMSZMuPTYnIe4IsIs0icqeIPOP+P+NuAiJyu4hsEpFb8z0mY8zQE+7naYwpD94Oeh4rsTClohAzyJ8B7lLVqcBd7seZXA2cUoDxGGOGoGAnPWNMufA2EbFFeqbUFCJBPhK4wf33DcBRmZ6kqncBWwowHmPMEDSuztoVGVNuVswcBcCRc53dOK0G2ZQKyfftSBHZpKqN7r8FeMv7OMNzlwGfVNXDe/h+ZwFnAbS2ts7/xS9+kftBl6itW7dSW1tb7GEUncUhYLEIA/xDugAAEBJJREFUbNmylTc1wYT6aLGHUlT2mkhm8QiUciye39zFlx7cwSETYpwwszKvP6uU41Bowz0Wy5cvf1RVF2R6LCdt3kTkj0Bbhoc+G/5AVVVEBpWRq+q1wLUACxYs0GXLlg3m25WVe+65h+H0+2ZjcQhYLAL33HMPR1gs7DWRwuIRKOVYjHx5Mzz4F8aPH8eyZbvl9WeVchwKzWKRXU4SZFVdke0xEXlNRNpV9RURaQdez8XPNMYYY8zQ4C3Ws0V6plQUogb5t8Bp7r9PA24pwM80xhhjTJnw+iFbDbIpFYVIkK8CDhKRZ4AV7seIyAIR+f/ek0TkPuBXwIEisk5EDinA2IwxxhhTZLGIN4Nc5IEY48r7VtOq+gZwYIbPPwKcGfp4Sb7HYowxxpjS420YYiUWplTYTnrGGGOMKSpLkE2psQTZGGOMMUUVj9giPVNaLEE2xhhjTFFF/RnkIg/EGJclyMYYY4wpqgqvzZtlyKZE5H2RnjHGGGNMT6riUS5eNYODdsu055gxhWcJsjHGGGOK7qylk4s9BGN8VmJhjDHGGGNMiCXIxhhjjDHGhIiqFnsMAyYiG4AXij2OAmoBNhZ7ECXA4hCwWAQsFg6LQzKLR8Bi4bA4BIZ7LCao6shMD5R1gjzciMgjqrqg2OMoNotDwGIRsFg4LA7JLB4Bi4XD4hCwWGRnJRbGGGOMMcaEWIJsjDHGGGNMiCXI5eXaYg+gRFgcAhaLgMXCYXFIZvEIWCwcFoeAxSILq0E2xhhjjDEmxGaQjTHGGGOMCbEE2RhjjDHGmBBLkI0pcSIixR6DMaXK3h/G9MzeIwNjCXIJEpFh/3cRkTHFHoMxpUpEpttxwmdxCLHXhcPOIWaw7I1UIkTkPSJyQbHHUWwiskJEHgXOKfZYik1EjhCRnwOfEZEJxR5PMYnIUSJyWbHHUWwicpCI/A04k2F+/BaRw0TkVuAyEdm32OMpJjt/BOwcErBzyOBYF4siE5EY8AngXGA8ME9VV4tIVFW7iju6wnBv/8SB/wIWA5eq6s3hx3WYvVBFZAVwBfB5YC+gAbhbVX8vIhFV7S7qAAvAfV1EgNOBzwATgANU9b6iDqzA3DjEgM8BJwAXqupvwo8Pw/fHfOC7wKVAPXAA8ICq/mi4vD/Azh8eO4eks3PI4A3rGYhSoKqdwNPADOAC4Pvu54fNwU0d7wLVwM2qerOIRERkD+/x4o6wKFYAt6rq7TiviTrgDBGpGS4HNvd10QU8C+wJnAcMu1lkNw67gG7g115yLCJLRCRe3NEVzQrgPlW9DbgFeBX4qIg0qGr3cKm5tPOHw84hGQ37c8hgWYJcBCLyURG5SkSOdz/1e1Xdoar/BYwSkRPd5w3pk18oDu9zP3UZsEREvgr8HbhcRK4VkUOKN8rCyPCaeADYV0SqVPV1YAcQBc4o2iALxI3FdSJypvupP6vqFlW9DqgRkQ+6zxvSx69QHM5yP/U9oF1ErheRfwKfBn6A+5oYyklhKBYfcj91N3CEiDSp6nZgF7AZuBCGdkJk54+AnUMCdg7JvSF9gik14vg48D7gEeCLIvIBoCn0tAuAqwHcWaMhJ0McLhWRD6rqc8DNOLMh7wNOBJ4AjhaRlqINOI+yvCZOA/4XeBn4pYjcjXMb+Ragbignhu774UTgJuAUEbkImBR6yueBC9zEaMjOgqTE4SQRuQTYifP+qACOA97jPn6MiIwfqklhSixOFpHPAmuBO4CfiMh9OK+Rq4BGEakp0lDzys4fATuHBOwckj+xYg9gOFFVFZHlwCWqereIbAUOBrqAn7jP+R/3SvCTqvpVEVmhqn8s5rhzLUscVonI8ap6jYhcr6pbAURkNbA3sK2YY86XDLF4B+c1sQ1nIdYcYLRbN3YS0DGUE0PgQOA/VfV2EdkIHAGcBHwJQFX/4M4gnyUi3wFWquqvijfcvEmNw5HA2ap6lYjcqarvAIjIP4BNODOoQ1WmWJyqqueLyHhguqreKSL7AwkvNkONnT8Cdg4J2Dkkf+wqIk9Sb3eGrtgeAZYAuLVBzwCzRGR66OnnAl8RkVeBsm5V0484PAXMF5Hp3oHNdRDOG31HAYabV32MxR+ANTiLKqao6mOq+nv3efOBvxVouAUVisVjwOEAqvoI8CAwRpK7FFwIXInz3mkr5DjzrYc43A90iMi+KQngaUACeKugAy2AXmIxTUSWqOqLqnqn+7zDgOcKP9L8G67nj0yG8zkklZ1D8ssS5PxJhD8IXbE9i3OLY3f34z/jrC6tAxCRucB1OLcT56nqDYUZbt70Jw71BHF4v4g8gdO54OIhcsXbn1jUEcRilYg8hBOLmwo01rwSkaj7f4GkWNwPRERkqfvxE8ArwGj3+VOA7+DcRp2nqtcUcty5Nog4vFdEHscpLThXVcv+5N/PWLyMe3EkIktF5M/AVJw67bLXQyyG2/mjv7EY0ueQfsZiSJ9DCsES5BwTkb1F5Cbg2yJycOgF7ZWzPAR0AgeLSExV/4Vzlb/AffwN4DxVPU5VXy70+HMlB3F4AefEf6q7wKBsDSIWe7mPPwOco6rvVdWynikUkX1E5Drg4yJS59XNhmLxDPAk8D5xWlWtA1qBie7jm4GPqOoxZf7+GGgcOtzH1+C8Jk5V1dcKPf5cykEs1uIcM49W1Y0FHn5Oici+InIDcImINIdi4S24GxbnD8hJLIbSOWSgsRhy55BCsgQ5h0RkGc7s1m9wWu+cDDSJ03OwE0BVn8W5HTIZp7crOItvXnAff0lV/1ngoedUjuLwoA6BfreDjMVa9/FnVPXvhR157olTI/ot4E84M6EXi8jB4LerAtgC3AdUAl91TwBNOCd+VHWDqj5T6LHn0iDjsNF93j9V9cFCjz3XchSLF1X1yUKPPddEZBLOseJunJm+y0RkFQQL7obD+QNyFouhcg4ZTCzWuo8PiXNIoVmCnFtzgIdV9afAjTiNy7d6t0FE5HIR+QHwKPBNYKE4O/68ibMie6iwOAQsFoH5wP2q+nPgcpxZwBNEpBWcWAA/w5kl/hxOEnSf+3HZ3yoOsTgELBaBhcBTqvoj4JPAapxWdu0w7I4VFouAxaJIrIvFIIjI3sCbqrrG/dS9OO1mXsbZ1OAp4DsicgfwEk694OdVda379ScCMVXdVPDB55DFIWCxCGSIxdPAXBEZraovi7PyfARwlDhtiCYBn1GnVRMicgZQo6pbijH+XLE4BCwWARE5AmdG8BFV/SvObfLzxWnZ96KI3I8zI/h+EXmYoX2ssFi4LBalw2aQB0BEGkXk98CdwPEiUgugqquBlTgv7vNUdRnOApMVwDuqeqKqPivuylNV3VrOL2KLQ8BiEcgWC5y62beBH4lTkz0OZzakTlXXuLF4LhSL7nJOhCwOAYtFQETaReR3OBu9NAHXi8ghqvo8TteW49ynPo1Te10P/HOIHissFi6LRemxBHlganBuXZzv/nuJ94CqPgSMxK2Dwqmta8RtwyRDaw90i0PAYhFIjcVScOrgcDYyuBL4laoejXOgX+Z94RCLhcUhYLEILMDZJnuJql4GfAPwdku8D9hdRBaps130emCpqm4GiwUWi+ESi5JgCXIficipIrK/iNSr6nrgWuCXOL0VF4mI136pEmeLx/PcLz0QaHafR7m/iC0OAYtFoJdYLPRioarvqurdqvoL90vnAbd736fcY2FxCFgsAm4slrnHgrtwN/ZwvYEzkw5Oj9rHgK+7s+yzgBdEpBosFlgshmwsSpHo0NydNCdERHB6bf4M6MZpQl8DfEzddkLibGBwPE690E/cz80CvuB+7S6ctlRPFf43yA2LQ8BiEehnLB5W1RtDX7sfzgzJRpwd4tYWdvS5Y3EIWCwCvcVCROKquktEPgrspqrnhL7268BYnNKsU1X16cL/BrljsQhYLMqIqtp/Gf4Dou7/pwE3ep8DrgF+k/Lcj+OswG7E2eoUnE0hJhX797A4WCxKKBYNOAuswGnptarYv4fFwWJRrFiEnvM7YIX771Hu/2M4ddhF/10sFhaL4fqflVikEJGoiFwBXCFOj87pOHvdo07tz8eAxe5jnuuAWpwFKGtFZIyqblenuL4sWRwCFotADmLxvIiMVdWXVfW2Ag8/ZywOAYtFoD+xUNUuEakANgBrROTLwJ0i0qSqnVr+ixEtFi6LRXmyBDnEfeE+irOC9FngMpzb4ctFZCH4tT6Xuv95DsOpL10N7K5OvV3ZsjgELBaBHMTicZxYrCvcqHPP4hCwWAT6GYsvul9WBXwAp/60DmfGsOx3OrNYBCwW5cv6ICfrBr6mQd3onjjbmX4e+C4wX5xWKjcDB4jIRHXq5HbgvIDvLc6wc87iELBYBCwWDotDwGIR6G8sxuKUldwIfF2dlpBDhcUiYLEoUzaDnOxR4JciEnU/vh8Yr84ONlEROd+90hsLdLkHelT1liF2oLc4BCwWAYuFw+IQsFgE+hOLblVdp6oPqeqpQzAJslgELBZlyhLkEFXdpqo73ZoggINw6oAATgdmisitwM+Bv4O/InVIsTgELBYBi4XD4hCwWAT6GYtHwWKBxWJYxaLcWIlFBu6VngKtwG/dT28BLgZmA//2akpVdcj2ybM4BCwWAYuFw+IQsFgELBYBi0XAYlF+bAY5s24gjtOPc457dfc5nNsff9EhsOCqjywOAYtFwGLhsDgELBYBi0XAYhGwWJQZ2ygkCxHZG2f3sweA61X1B0UeUlFYHAIWi4DFwmFxCFgsAhaLgMUiYLEoL5YgZ+GuJD0FZxXpzmKPp1gsDgGLRcBi4bA4BCwWAYtFwGIRsFiUF0uQjTHGGGOMCbEaZGOMMcYYY0IsQTbGGGOMMSbEEmRjjDHGGGNCLEE2xhhjjDEmxBJkY4wxxhhjQixBNsaYMiIiXSKyWkSeFJHHReQTItLjsVxEJorIiYUaozHGlDtLkI0xprxsV9W5qjoLOAg4FPhCL18zEbAE2Rhj+sj6IBtjTBkRka2qWhv6eBLwMNACTAB+AtS4D39EVR8Qkb8CM4F/AzcA3wSuApYBlcC3VfX7BfsljDGmxFmCbIwxZSQ1QXY/twmYDmwBulV1h4hMBX6uqgtEZBnwSVU93H3+WcAoVb1cRCqB+4HjVPXfBf1ljDGmRMWKPQBjjDE5Ewe+JSJzgS5gWpbnHQzMEZFj3Y8bgKk4M8zGGDPsWYJsjDFlzC2x6AJex6lFfg3YA2eNyY5sXwacr6p3FGSQxhhTZmyRnjHGlCkRGQl8D/iWOvVyDcArqtoNnAJE3aduAepCX3oHcK6IxN3vM01EajDGGAPYDLIxxpSbhIisximn6MRZlPd197HvADeJyKnA7cA77uf/AXSJyOPAj4Bv4HS2+LuICLABOKpQv4AxxpQ6W6RnjDHGGGNMiJVYGGOMMcYYE2IJsjHGGGOMMSGWIBtjjDHGGBNiCbIxxhhjjDEhliAbY4wxxhgTYgmyMcYYY4wxIZYgG2OMMcYYE/J/pGo9rsX1SSQAAAAASUVORK5CYII=\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"TY6HmdWMKe4y"},"source":["### Linear returns don't tell the whole story.\n","\n","Suppose you put money in an asset that returns 10% interest in even numbered years, but loses 10% in odd numbered years. Is this a good investment for the long-haul?\n","\n","If we look at mean linear return\n","\n","\\begin{align}\n","\\bar{r}^{lin} & = \\frac{1}{T}\\sum_{t=1}{T} r^{lin}_t \\\\\n","& = \\frac{1}{T} (0.1 - 0.1 + 0.1 - 0.1 + \\cdots) \\\\\n","& = 0\n","\\end{align}\n","\n","we would conclude this asset, on average, offers zero return. What does a simulation show?"]},{"cell_type":"code","metadata":{"pycharm":{},"id":"ATto_V3uKe4y","executionInfo":{"status":"ok","timestamp":1604370977956,"user_tz":300,"elapsed":575,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"663d2dc1-1e7c-45dd-c564-65069c124c4f","colab":{"base_uri":"https://localhost:8080/","height":296}},"source":["S = 100\n","log = [[0,S]]\n","r = 0.10\n","\n","for k in range(1,101):\n"," S = S + r*S\n"," r = -r\n"," log.append([k,S])\n"," \n","df = pd.DataFrame(log,columns = ['k','S'])\n","plt.plot(df['k'],df['S'])\n","plt.xlabel('Year')\n","plt.ylabel('Value')"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0, 0.5, 'Value')"]},"metadata":{"tags":[]},"execution_count":23},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"T9mbB1N4Ke41"},"source":["Despite an average linear return of zero, what we observe over time is an asset declining in price. The reason is pretty obvious --- on average, the years in which the asset loses money have higher balances than years where the asset gains value. Consequently, the losses are somewhat greater than the gains which, over time, leads to a loss of value.\n","\n","Here's a real-world example of this phenomenon. For a three year period ending October 24, 2017, United States Steel (stock symbol 'X') offers an annualized linear return of 15.9%. Seems like a terrific investment opportunity, doesn't it? Would you be surprised to learn that the actual value of the stock fell 18.3% over that three-year period period?\n","\n","What we can conclude from these examples is that average linear return, by itself, does not provide us with the information needed for long-term investing."]},{"cell_type":"code","metadata":{"pycharm":{},"id":"Nfb7cUWUKe41","executionInfo":{"status":"ok","timestamp":1604371007804,"user_tz":300,"elapsed":1435,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"06870505-a866-41b7-c75a-818b3c2acf56","colab":{"base_uri":"https://localhost:8080/","height":386}},"source":["symbol = 'X'\n","\n","end = datetime.datetime(2017, 10, 24)\n","start = end-datetime.timedelta(3*365)\n","\n","# get stock price data\n","S = pdr.data.DataReader(symbol, \"yahoo\", start, end)['Adj Close']\n","rlin = S/S.shift(1) - 1\n","\n","print('Three year return :', 100*(S[-1]-S[0])/S[0], '%')\n","\n","# plot data\n","plt.figure(figsize=(10,5))\n","plt.subplot(2,1,1)\n","S.plot(title=symbol)\n","plt.ylabel('Adjusted Close')\n","plt.grid()\n","\n","plt.subplot(2,1,2)\n","rlin.plot()\n","plt.title('Mean Linear Returns (annualized) = {0:.2f}%'.format(100*252*rlin.mean()))\n","plt.grid()\n","plt.tight_layout()"],"execution_count":null,"outputs":[{"output_type":"stream","text":["Three year return : -18.27174276977313 %\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"dKKZx3H4Ke44"},"source":["### Compounded Log Returns\n","\n","Compounded, or log returns, are defined as\n","\n","$$r^{log}_{t} = \\log R_t = \\log \\frac{S_{t}}{S_{t-1}}$$\n","\n","The log returns have a very useful compounding property for aggregating price changes across time\n","\n","$$ \\log \\frac{S_{t+k}}{S_{t}} = r^{log}_{t+1} + r^{log}_{t+2} + \\cdots + r^{log}_{t+k}$$\n","\n","If the compounded returns are statistically independent and identically distributed, then this property provides a means to aggregate returns and develop statistical price projections."]},{"cell_type":"code","metadata":{"pycharm":{},"id":"Hc9VS82WKe44","executionInfo":{"status":"ok","timestamp":1604371066658,"user_tz":300,"elapsed":1332,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"40be9c91-77c8-4d25-ab96-1172eb9f39a7","colab":{"base_uri":"https://localhost:8080/","height":369}},"source":["symbol = 'AAPL'\n","\n","end = datetime.datetime.today().date()\n","start = end - datetime.timedelta(3*365)\n","\n","# get stock price data\n","S = pdr.data.DataReader(symbol, \"yahoo\", start, end)['Adj Close']\n","rlog = np.log(S/S.shift(1))\n","\n","# plot data\n","plt.figure(figsize=(10,5))\n","plt.subplot(2,1,1)\n","S.plot(title=symbol)\n","plt.ylabel('Adjusted Close')\n","plt.grid()\n","\n","plt.subplot(2,1,2)\n","rlin.plot()\n","plt.title('Log Returns (daily)')\n","plt.grid()\n","plt.tight_layout()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"xXyW7dh3Ke47"},"source":["### Volatility Drag and the Relationship between Linear and Log Returns\n","\n","For long-term financial decision making, it's important to understand the relationship between $r_t^{log}$ and $r_t^{lin}$. Algebraically, the relationships are simple.\n","\n","$$r^{log}_t = \\log \\left(1+r^{lin}_t\\right)$$\n","\n","$$r^{lin}_t = e^{r^{log}_t} - 1$$\n","\n","The linear return $r_t^{lin}$ is the fraction of value that is earned from an asset in a single period. It is a direct measure of earnings. The average value $\\bar{r}^{lin}$ over many periods this gives the average fractional earnings per period. If you care about consuming the earnings from an asset and not about growth in value, then $\\bar{r}^{lin}$ is the quantity of interest to you.\n","\n","Log return $r_t^{log}$ is the rate of growth in value of an asset over a single period. When averaged over many periods, $\\bar{r}^{log}$ measures the compounded rate of growth of value. If you care about the growth in value of an asset, then $\\bar{r}^{log}$ is the quantity of interest to you.\n","\n","The compounded rate of growth $r_t^{log}$ is generally smaller than average linear return $\\bar{r}^{lin}$ due to the effects of volatility. To see this, consider an asset that has a linear return of -50% in period 1, and +100% in period 2. The average linear return is would be +25%, but the compounded growth in value would be 0%.\n","\n","A general formula for the relationship between $\\bar{r}^{log}$ and $\\bar{r}^{lin}$ is derived as follows:\n","\n","$$\\begin{align*}\n","\\bar{r}^{log} & = \\frac{1}{T}\\sum_{t=1}^{T} r_t^{log} \\\\\n","& = \\frac{1}{T}\\sum_{t=1}^{T} \\log\\left(1+r_t^{lin}\\right) \\\\\n","& = \\frac{1}{T}\\sum_{t=1}^{T} \\left(\\log(1) + r_t^{lin} - \\frac{1}{2} (r_t^{lin})^2 + \\cdots\n","\\right) \\\\\n","& = \\frac{1}{T}\\sum_{t=1}^{T} r_t^{lin} - \\frac{1}{2}\\frac{1}{T}\\sum_{t=1}^{T} (r_t^{lin})^2 + \\cdots \\\\\n","& = \\bar{r}^{lin} - \\frac{1}{2}\\left(\\frac{1}{T}\\sum_{t=1}^{T} (r_t^{lin})^2\\right) + \\cdots \\\\\n","& = \\bar{r}^{lin} - \\frac{1}{2}\\left((\\bar{r}^{lin})^2 + \\frac{1}{T}\\sum_{t=1}^{T} (r_t^{lin}-\\bar{r}^{lin})^2\\right) + \\cdots\n","\\end{align*}$$\n","\n","For typical values $\\bar{r}^{lin}$ of and long horizons $T$, this results in a formula\n","\n","$$\\begin{align*}\n","\\bar{r}^{log} & \\approx \\bar{r}^{lin} - \\frac{1}{2} \\left(\\sigma^{lin}\\right)^2\n","\\end{align*}$$\n","\n","where $\\sigma^{lin}$ is the standard deviation of linear returns, more commonly called the volatility.\n","\n","The difference $- \\frac{1}{2} \\left(\\sigma^{lin}\\right)^2$ is the _volatility drag_ imposed on the compounded growth in value of an asset due to volatility in linear returns. This can be significant and a source of confusion for many investors. \n","\n","It's indeed possible to have a positive average linear return, but negative compounded growth. To see this, consider a \\$100 investment which earns 20% on even-numbered years, and loses 18% on odd-numbered years. The average linear return is 1%, and the average log return is -0.81%.\n","\n"]},{"cell_type":"code","metadata":{"jupyter":{"outputs_hidden":true},"pycharm":{},"id":"4ciG0W-pKe48","executionInfo":{"status":"ok","timestamp":1604371186196,"user_tz":300,"elapsed":1683,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"32fe27bc-a419-46bd-88fa-041ff722d226","colab":{"base_uri":"https://localhost:8080/","height":441}},"source":["symbol = 'AAPL'\n","\n","end = datetime.datetime.today().date()\n","start = end - datetime.timedelta(3*365)\n","\n","# get stock price data\n","S = pdr.data.DataReader(symbol, \"yahoo\", start, end)['Adj Close']\n","rlin = (S - S.shift(1))/S.shift(1)\n","rlog = np.log(S/S.shift(1))\n","\n","# plot data\n","plt.figure(figsize=(10,6))\n","plt.subplot(3,1,1)\n","S.plot(title=symbol)\n","plt.ylabel('Adjusted Close')\n","plt.grid()\n","\n","plt.subplot(3,1,2)\n","rlin.plot()\n","plt.title('Linear Returns (daily)')\n","plt.grid()\n","plt.tight_layout()\n","\n","plt.subplot(3,1,3)\n","rlog.plot()\n","plt.title('Log Returns (daily)')\n","plt.grid()\n","plt.tight_layout()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"jupyter":{"outputs_hidden":true},"pycharm":{},"id":"D2qXz4_UKe4-","executionInfo":{"status":"ok","timestamp":1604371193406,"user_tz":300,"elapsed":343,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"beeea93f-cc9d-493b-cec2-e279cb7f3c5e","colab":{"base_uri":"https://localhost:8080/"}},"source":["print(\"Mean Linear Return (rlin) = {0:.7f}\".format(rlin.mean()))\n","print(\"Linear Volatility (sigma) = {0:.7f}\".format(rlin.std()))\n","print(\"Volatility Drag -0.5*sigma**2 = {0:.7f}\".format(-0.5*rlin.std()**2))\n","print(\"rlin - 0.5*vol = {0:.7f}\\n\".format(rlin.mean() - 0.5*rlin.std()**2))\n","\n","print(\"Mean Log Return = {0:.7f}\".format(rlog.mean()))"],"execution_count":null,"outputs":[{"output_type":"stream","text":["Mean Linear Return (rlin) = 0.0015108\n","Linear Volatility (sigma) = 0.0218788\n","Volatility Drag -0.5*sigma**2 = -0.0002393\n","rlin - 0.5*vol = 0.0012715\n","\n","Mean Log Return = 0.0012704\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"jupyter":{"outputs_hidden":true},"pycharm":{},"id":"hdV8UM38Ke5B"},"source":["symbols = ['AAPL','MSFT','F','XOM','GE','X']\n","\n","end = datetime.datetime.today().date()\n","start = end - datetime.timedelta(3*365)\n","\n","rlin = []\n","rlog = []\n","sigma = []\n","\n","for symbol in symbols:\n","\n"," # get stock price data\n"," S = pdr.data.DataReader(symbol, \"yahoo\", start, end)['Adj Close']\n"," r = (S - S.shift(1))/S.shift(1)\n"," rlin.append(r.mean()) \n"," rlog.append((np.log(S/S.shift(1))).mean())\n"," sigma.append(r.std())\n"," "],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"pycharm":{},"id":"8GvAkq-wKe5D","executionInfo":{"status":"ok","timestamp":1604371318456,"user_tz":300,"elapsed":926,"user":{"displayName":"Jeffrey Kantor","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14Gg_n8V7bVINy02QRuRgOoMo11Ri7NKU3OUKdC1bkQ=s64","userId":"09038942003589296665"}},"outputId":"3e64b54e-180b-4a1a-9fb4-9289fdd48333","colab":{"base_uri":"https://localhost:8080/","height":298}},"source":["import seaborn as sns\n","N = len(symbols)\n","idx = np.arange(N)\n","width = 0.2\n","\n","p0 = plt.bar(idx - 1.25*width, rlin, width)\n","p1 = plt.bar(idx, -0.5*np.array(sigma)**2, width, bottom=rlin)\n","p2 = plt.bar(idx + 1.25*width, rlog, width)\n","\n","for k in range(0,N):\n"," plt.plot([k - 1.75*width, k + 0.5*width],[rlin[k],rlin[k]],'k',lw=1)\n"," plt.plot([k - 0.5*width, k + 1.75*width],[rlog[k],rlog[k]],'k',lw=1)\n"," \n","plt.xticks(idx,symbols)\n","plt.legend((p0[0],p1[0],p2[0]),('rlin','0.5*sigma**2','rlog'))\n","plt.title('Components of Linear Return')"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'Components of Linear Return')"]},"metadata":{"tags":[]},"execution_count":31},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"jupyter":{"outputs_hidden":true},"pycharm":{},"id":"SKV6m6SsKe5F"},"source":[""],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"pycharm":{},"id":"9vIpNkKGKe5I"},"source":["\n","< [Risk and Diversification](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.00-Risk-and-Diversification.ipynb) | [Contents](toc.ipynb) | [Geometric Brownian Motion](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.02-Geometric-Brownian-Motion.ipynb) >

\"Open

\"Download\""]}]}