Python_For_Finance_Beginners_Tutorial.ipynb

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        "<a href=\"https://colab.research.google.com/github/tylee33/DLforFinance/blob/master/Python_For_Finance_Beginners_Tutorial.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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        "id": "80WG-coL6er-",
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      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import datetime\n",
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "g6aEso4J6nUu",
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      "source": [
        "# Python Basics For Finance: Pandas\n",
        "## Importing Data\n",
        "At this moment, there is a lot going on in the open-source community because of the changes to the Yahoo! Finance API. That's why you don't only use the pandas_datareader package, but also a custom fix fix_yahoo_finance to get your data:"
      ]
    },
    {
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        },
        "outputId": "62dcac10-a3de-441f-88c5-d1c0e0d64673"
      },
      "cell_type": "code",
      "source": [
        "from pandas_datareader import data as pdr\n",
        "import fix_yahoo_finance\n",
        "\n",
        "aapl = pdr.get_data_yahoo('AAPL', \n",
        "                          start=datetime.datetime(2006, 10, 1), \n",
        "                          end=datetime.datetime(2012, 1, 1))\n",
        "aapl.head()"
      ],
      "execution_count": 2,
      "outputs": [
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>High</th>\n",
              "      <th>Low</th>\n",
              "      <th>Open</th>\n",
              "      <th>Close</th>\n",
              "      <th>Volume</th>\n",
              "      <th>Adj Close</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2006-10-02</th>\n",
              "      <td>10.838572</td>\n",
              "      <td>10.614285</td>\n",
              "      <td>10.728572</td>\n",
              "      <td>10.694285</td>\n",
              "      <td>178159800</td>\n",
              "      <td>7.130981</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-03</th>\n",
              "      <td>10.707143</td>\n",
              "      <td>10.455714</td>\n",
              "      <td>10.635715</td>\n",
              "      <td>10.582857</td>\n",
              "      <td>197677200</td>\n",
              "      <td>7.056683</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-04</th>\n",
              "      <td>10.780000</td>\n",
              "      <td>10.451428</td>\n",
              "      <td>10.585714</td>\n",
              "      <td>10.768572</td>\n",
              "      <td>207270700</td>\n",
              "      <td>7.180516</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-05</th>\n",
              "      <td>10.880000</td>\n",
              "      <td>10.590000</td>\n",
              "      <td>10.647142</td>\n",
              "      <td>10.690000</td>\n",
              "      <td>170970800</td>\n",
              "      <td>7.128126</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-06</th>\n",
              "      <td>10.720000</td>\n",
              "      <td>10.544286</td>\n",
              "      <td>10.631429</td>\n",
              "      <td>10.602858</td>\n",
              "      <td>116739700</td>\n",
              "      <td>7.070017</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
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            ],
            "text/plain": [
              "                 High        Low       Open      Close     Volume  Adj Close\n",
              "Date                                                                        \n",
              "2006-10-02  10.838572  10.614285  10.728572  10.694285  178159800   7.130981\n",
              "2006-10-03  10.707143  10.455714  10.635715  10.582857  197677200   7.056683\n",
              "2006-10-04  10.780000  10.451428  10.585714  10.768572  207270700   7.180516\n",
              "2006-10-05  10.880000  10.590000  10.647142  10.690000  170970800   7.128126\n",
              "2006-10-06  10.720000  10.544286  10.631429  10.602858  116739700   7.070017"
            ]
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      "cell_type": "code",
      "source": [
        "!pip install quandl"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting quandl\n",
            "  Downloading https://files.pythonhosted.org/packages/8c/55/53084c085ba50df5f19ca30d1d38b2867317e9b52d2aacbf5f5edb601a5c/Quandl-3.4.6-py2.py3-none-any.whl\n",
            "Requirement already satisfied: pandas>=0.14 in /usr/local/lib/python3.6/dist-packages (from quandl) (0.22.0)\n",
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            "Collecting inflection>=0.3.1 (from quandl)\n",
            "  Downloading https://files.pythonhosted.org/packages/d5/35/a6eb45b4e2356fe688b21570864d4aa0d0a880ce387defe9c589112077f8/inflection-0.3.1.tar.gz\n",
            "Requirement already satisfied: python-dateutil in /usr/local/lib/python3.6/dist-packages (from quandl) (2.5.3)\n",
            "Requirement already satisfied: pytz>=2011k in /usr/local/lib/python3.6/dist-packages (from pandas>=0.14->quandl) (2018.9)\n",
            "Requirement already satisfied: chardet<3.1.0,>=3.0.2 in /usr/local/lib/python3.6/dist-packages (from requests>=2.7.0->quandl) (3.0.4)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.6/dist-packages (from requests>=2.7.0->quandl) (2019.3.9)\n",
            "Requirement already satisfied: idna<2.7,>=2.5 in /usr/local/lib/python3.6/dist-packages (from requests>=2.7.0->quandl) (2.6)\n",
            "Requirement already satisfied: urllib3<1.23,>=1.21.1 in /usr/local/lib/python3.6/dist-packages (from requests>=2.7.0->quandl) (1.22)\n",
            "Building wheels for collected packages: inflection\n",
            "  Building wheel for inflection (setup.py) ... \u001b[?25ldone\n",
            "\u001b[?25h  Stored in directory: /root/.cache/pip/wheels/9f/5a/d3/6fc3bf6516d2a3eb7e18f9f28b472110b59325f3f258fe9211\n",
            "Successfully built inflection\n",
            "Installing collected packages: inflection, quandl\n",
            "Successfully installed inflection-0.3.1 quandl-3.4.6\n"
          ],
          "name": "stdout"
        }
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    {
      "metadata": {
        "id": "JExyZmjw6ynD",
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      "cell_type": "markdown",
      "source": [
        "The pandas_datareader offers a lot of possibilities to get financial data. If you don't want to make use of this package, however, you can also use Quandl to retrieve data:"
      ]
    },
    {
      "metadata": {
        "id": "Jpz7mRfp60r7",
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        },
        "outputId": "cd3fc4ca-494f-430b-91e1-5f9aecd707c1"
      },
      "cell_type": "code",
      "source": [
        "import quandl \n",
        "aapl = quandl.get(\"WIKI/AAPL\", start_date=\"2006-10-01\", end_date=\"2012-01-01\")\n",
        "aapl.head()"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th>Open</th>\n",
              "      <th>High</th>\n",
              "      <th>Low</th>\n",
              "      <th>Close</th>\n",
              "      <th>Volume</th>\n",
              "      <th>Ex-Dividend</th>\n",
              "      <th>Split Ratio</th>\n",
              "      <th>Adj. Open</th>\n",
              "      <th>Adj. High</th>\n",
              "      <th>Adj. Low</th>\n",
              "      <th>Adj. Close</th>\n",
              "      <th>Adj. Volume</th>\n",
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              "      <th>Date</th>\n",
              "      <th></th>\n",
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              "    <tr>\n",
              "      <th>2006-10-02</th>\n",
              "      <td>75.10</td>\n",
              "      <td>75.870</td>\n",
              "      <td>74.30</td>\n",
              "      <td>74.86</td>\n",
              "      <td>25451400.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>9.651397</td>\n",
              "      <td>9.750352</td>\n",
              "      <td>9.548586</td>\n",
              "      <td>9.620553</td>\n",
              "      <td>178159800.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-03</th>\n",
              "      <td>74.45</td>\n",
              "      <td>74.950</td>\n",
              "      <td>73.19</td>\n",
              "      <td>74.07</td>\n",
              "      <td>28239600.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>9.567863</td>\n",
              "      <td>9.632120</td>\n",
              "      <td>9.405935</td>\n",
              "      <td>9.519027</td>\n",
              "      <td>197677200.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-04</th>\n",
              "      <td>74.10</td>\n",
              "      <td>75.462</td>\n",
              "      <td>73.16</td>\n",
              "      <td>75.38</td>\n",
              "      <td>29610100.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>9.522883</td>\n",
              "      <td>9.697919</td>\n",
              "      <td>9.402080</td>\n",
              "      <td>9.687381</td>\n",
              "      <td>207270700.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-05</th>\n",
              "      <td>74.53</td>\n",
              "      <td>76.160</td>\n",
              "      <td>74.13</td>\n",
              "      <td>74.83</td>\n",
              "      <td>24424400.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>9.578144</td>\n",
              "      <td>9.787621</td>\n",
              "      <td>9.526738</td>\n",
              "      <td>9.616698</td>\n",
              "      <td>170970800.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-06</th>\n",
              "      <td>74.42</td>\n",
              "      <td>75.040</td>\n",
              "      <td>73.81</td>\n",
              "      <td>74.22</td>\n",
              "      <td>16677100.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>9.564007</td>\n",
              "      <td>9.643686</td>\n",
              "      <td>9.485614</td>\n",
              "      <td>9.538304</td>\n",
              "      <td>116739700.0</td>\n",
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            "text/plain": [
              "             Open    High    Low  Close      Volume  Ex-Dividend  Split Ratio  \\\n",
              "Date                                                                            \n",
              "2006-10-02  75.10  75.870  74.30  74.86  25451400.0          0.0          1.0   \n",
              "2006-10-03  74.45  74.950  73.19  74.07  28239600.0          0.0          1.0   \n",
              "2006-10-04  74.10  75.462  73.16  75.38  29610100.0          0.0          1.0   \n",
              "2006-10-05  74.53  76.160  74.13  74.83  24424400.0          0.0          1.0   \n",
              "2006-10-06  74.42  75.040  73.81  74.22  16677100.0          0.0          1.0   \n",
              "\n",
              "            Adj. Open  Adj. High  Adj. Low  Adj. Close  Adj. Volume  \n",
              "Date                                                                 \n",
              "2006-10-02   9.651397   9.750352  9.548586    9.620553  178159800.0  \n",
              "2006-10-03   9.567863   9.632120  9.405935    9.519027  197677200.0  \n",
              "2006-10-04   9.522883   9.697919  9.402080    9.687381  207270700.0  \n",
              "2006-10-05   9.578144   9.787621  9.526738    9.616698  170970800.0  \n",
              "2006-10-06   9.564007   9.643686  9.485614    9.538304  116739700.0  "
            ]
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            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "metadata": {
        "id": "LSKqlfSJ7EtR",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "# Alternatively, you can load in a data set that has been retrieved for you already from Yahoo! Finance: \n",
        "aapl = pd.read_csv(\"https://s3.amazonaws.com/assets.datacamp.com/blog_assets/aapl.csv\", header=0, index_col= 0, names=['Open', 'High', 'Low', 'Close', 'Volume', 'Adj Close'], parse_dates=True)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "0kemXT_V7J0q",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "## Working With Time Series Data"
      ]
    },
    {
      "metadata": {
        "id": "ZfY7J2hE7Ncw",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "dd5ee24a-4e82-4a1b-8d7e-f5903890d6e1"
      },
      "cell_type": "code",
      "source": [
        "# Inspect the index \n",
        "aapl.index\n",
        "\n",
        "# Inspect the columns\n",
        "aapl.columns\n",
        "\n",
        "# Select only the last 10 observations of `Close`\n",
        "ts = aapl['Close'][-10:]\n",
        "\n",
        "# Check the type of `ts` \n",
        "type(ts)"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "pandas.core.series.Series"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        }
      ]
    },
    {
      "metadata": {
        "id": "xJtXNZKJ7Q1w",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 646
        },
        "outputId": "71a8e391-b84a-4b1e-ea87-c1cc595ef599"
      },
      "cell_type": "code",
      "source": [
        "# Inspect the first rows of November-December 2006\n",
        "print(aapl.loc[pd.Timestamp('2006-11-01'):pd.Timestamp('2006-12-31')].head())\n",
        "\n",
        "# Inspect the first rows of 2007 \n",
        "print(aapl.loc['2007'].head())\n",
        "\n",
        "# Inspect November 2006\n",
        "print(aapl.iloc[22:43])\n",
        "\n",
        "# Inspect the 'Open' and 'Close' values at 2006-11-01 and 2006-12-01\n",
        "print(aapl.iloc[[22,43], [0, 3]])"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "             Open   High    Low      Close       Volume  Adj Close\n",
            "2006-11-01  81.10  81.38  78.36  79.160004  152798100.0  11.308572\n",
            "2006-11-02  78.92  79.32  78.50  78.979996  116370800.0  11.282857\n",
            "2006-11-03  79.36  79.53  77.79  78.290001  107972200.0  11.184286\n",
            "2006-11-06  78.95  80.06  78.43  79.709999  108644200.0  11.387143\n",
            "2006-11-07  80.45  81.00  80.13  80.510002  131483100.0  11.501429\n",
            "             Open   High    Low      Close       Volume  Adj Close\n",
            "2007-01-03  86.29  86.58  81.90  83.800003  309579900.0  11.971429\n",
            "2007-01-04  84.05  85.95  83.82  85.659996  211815100.0  12.237143\n",
            "2007-01-05  85.77  86.20  84.40  85.049995  208685400.0  12.150000\n",
            "2007-01-08  85.96  86.53  85.28  85.470001  199276700.0  12.210000\n",
            "2007-01-09  86.45  92.98  85.15  92.570000  837324600.0  13.224286\n",
            "             Open   High    Low      Close       Volume  Adj Close\n",
            "2006-11-01  81.10  81.38  78.36  79.160004  152798100.0  11.308572\n",
            "2006-11-02  78.92  79.32  78.50  78.979996  116370800.0  11.282857\n",
            "2006-11-03  79.36  79.53  77.79  78.290001  107972200.0  11.184286\n",
            "2006-11-06  78.95  80.06  78.43  79.709999  108644200.0  11.387143\n",
            "2006-11-07  80.45  81.00  80.13  80.510002  131483100.0  11.501429\n",
            "2006-11-08  80.02  82.69  79.89  82.449997  172729200.0  11.778571\n",
            "2006-11-09  82.90  84.69  82.12  83.339996  230763400.0  11.905714\n",
            "2006-11-10  83.55  83.60  82.50  83.120003   93466100.0  11.874286\n",
            "2006-11-13  83.22  84.45  82.64  84.349998  112668500.0  12.050000\n",
            "2006-11-14  84.80  85.00  83.90  85.000000  147238700.0  12.142858\n",
            "2006-11-15  85.05  85.90  84.00  84.050003  163830800.0  12.007143\n",
            "2006-11-16  84.87  86.30  84.62  85.610001  173485200.0  12.230000\n",
            "2006-11-17  85.14  85.94  85.00  85.850006  116606000.0  12.264286\n",
            "2006-11-20  85.40  87.00  85.20  86.470001  142698500.0  12.352858\n",
            "2006-11-21  87.42  88.60  87.11  88.599998  155666700.0  12.657143\n",
            "2006-11-22  88.99  90.75  87.85  90.309998  167985300.0  12.901428\n",
            "2006-11-24  89.53  93.08  89.50  91.630005  129669400.0  13.090000\n",
            "2006-11-27  92.51  93.16  89.50  89.540001  268709000.0  12.791429\n",
            "2006-11-28  90.36  91.97  89.91  91.809998  259043400.0  13.115714\n",
            "2006-11-29  93.00  93.15  90.25  91.799995  289270800.0  13.114285\n",
            "2006-11-30  92.21  92.68  91.06  91.660004  217621600.0  13.094286\n",
            "            Open      Close\n",
            "2006-11-01  81.1  79.160004\n",
            "2006-12-01  91.8  91.320000\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "CHfWIjU67aun",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 391
        },
        "outputId": "7623c39a-4a7b-4831-e3c1-f074d3866bad"
      },
      "cell_type": "code",
      "source": [
        "# Sample 20 rows\n",
        "sample = aapl.sample(20)\n",
        "\n",
        "# Print `sample`\n",
        "print(sample)\n",
        "\n",
        "# Resample to monthly level \n",
        "monthly_aapl = aapl.resample('M')\n",
        "\n",
        "# Print `monthly_aapl`\n",
        "print(monthly_aapl)"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "              Open    High     Low       Close       Volume  Adj Close\n",
            "2008-03-11  124.10  127.48  122.00  127.350006  290985800.0  18.192858\n",
            "2006-10-25   81.35   82.00   81.01   81.680000  121303700.0  11.668571\n",
            "2008-09-18  130.57  135.43  120.68  134.089996  419063400.0  19.155714\n",
            "2010-10-15  307.44  315.00  304.91  314.739990  230548500.0  44.962856\n",
            "2009-03-27  108.23  108.53  106.40  106.850006  123218200.0  15.264286\n",
            "2008-01-07  181.25  183.60  170.23  177.639999  518048300.0  25.377142\n",
            "2009-11-11  204.56  205.00  201.83  203.250000  110967500.0  29.035715\n",
            "2009-04-14  119.57  120.17  117.25  118.309998  113655500.0  16.901428\n",
            "2009-07-08  135.92  138.04  134.42  137.220001  143982300.0  19.602858\n",
            "2010-12-03  317.01  318.65  316.34  317.440002   85523200.0  45.348572\n",
            "2009-12-22  199.44  200.85  198.66  200.360001   87378900.0  28.622858\n",
            "2008-08-06  159.97  167.40  158.00  164.190002  197852200.0  23.455715\n",
            "2011-12-23  399.69  403.59  399.49  403.330017   67349800.0  57.618572\n",
            "2009-12-15  195.83  197.51  193.27  194.169998  104864900.0  27.738571\n",
            "2011-09-12  373.00  380.88  371.90  379.940002  116958100.0  54.277142\n",
            "2010-11-08  317.20  319.77  316.76  318.619995   70439600.0  45.517143\n",
            "2008-08-25  176.15  176.23  171.66  172.550003  121106300.0  24.650000\n",
            "2010-07-08  262.48  262.90  254.89  258.089996  184536100.0  36.869999\n",
            "2007-08-22  131.22  132.75  130.33  132.510010  265441400.0  18.930000\n",
            "2008-01-14  177.52  179.42  175.17  178.779999  275112600.0  25.540001\n",
            "DatetimeIndexResampler [freq=<MonthEnd>, axis=0, closed=right, label=right, convention=start, base=0]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "XdRt4vIK7eVm",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "# Add a column `diff` to `aapl` \n",
        "aapl['diff'] = aapl.Open - aapl.Close\n",
        "\n",
        "# Delete the new `diff` column\n",
        "del aapl['diff']"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "C1s036f17hE2",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 327
        },
        "outputId": "d4e63372-7a1f-470c-e0bd-fe87277ef49b"
      },
      "cell_type": "code",
      "source": [
        "# Import Matplotlib's `pyplot` module as `plt`\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Plot the closing prices for `aapl`\n",
        "aapl['Close'].plot(grid=True)\n",
        "\n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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YY3j88cehVquRn5+PN998E6+++iomTZoUcH7HWXOhpKQoIQ5RODyaaLWqgW5CzKFr1jt0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\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "415NY_D47k0F",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "## Common Financial Analysis\n",
        "### Returns"
      ]
    },
    {
      "metadata": {
        "id": "nhqkma877jze",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 2193
        },
        "outputId": "6a409c34-79ad-4ea6-8762-c7d63450d476"
      },
      "cell_type": "code",
      "source": [
        "# Assign `Adj Close` to `daily_close`\n",
        "daily_close = aapl[['Adj Close']]\n",
        "\n",
        "# Daily returns\n",
        "daily_pct_c = daily_close.pct_change()\n",
        "\n",
        "# Replace NA values with 0\n",
        "daily_pct_c.fillna(0, inplace=True)\n",
        "\n",
        "# Inspect daily returns\n",
        "print(daily_pct_c)\n",
        "\n",
        "# Daily log returns\n",
        "daily_log_returns = np.log(daily_close.pct_change()+1)\n",
        "\n",
        "# Print daily log returns\n",
        "print(daily_log_returns)"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "            Adj Close\n",
            "2006-10-02   0.000000\n",
            "2006-10-03  -0.010419\n",
            "2006-10-04   0.017549\n",
            "2006-10-05  -0.007296\n",
            "2006-10-06  -0.008152\n",
            "2006-10-09   0.005524\n",
            "2006-10-10  -0.010987\n",
            "2006-10-11  -0.007858\n",
            "2006-10-12   0.027721\n",
            "2006-10-13  -0.003189\n",
            "2006-10-16   0.005065\n",
            "2006-10-17  -0.014721\n",
            "2006-10-18   0.003231\n",
            "2006-10-19   0.059842\n",
            "2006-10-20   0.012153\n",
            "2006-10-23   0.018887\n",
            "2006-10-24  -0.005033\n",
            "2006-10-25   0.007773\n",
            "2006-10-26   0.006244\n",
            "2006-10-27  -0.021657\n",
            "2006-10-30   0.000124\n",
            "2006-10-31   0.008207\n",
            "2006-11-01  -0.023680\n",
            "2006-11-02  -0.002274\n",
            "2006-11-03  -0.008736\n",
            "2006-11-06   0.018138\n",
            "2006-11-07   0.010036\n",
            "2006-11-08   0.024096\n",
            "2006-11-09   0.010794\n",
            "2006-11-10  -0.002640\n",
            "...               ...\n",
            "2011-11-17  -0.019128\n",
            "2011-11-18  -0.006545\n",
            "2011-11-21  -0.015816\n",
            "2011-11-22   0.020325\n",
            "2011-11-23  -0.025285\n",
            "2011-11-25  -0.009319\n",
            "2011-11-28   0.034519\n",
            "2011-11-29  -0.007764\n",
            "2011-11-30   0.024116\n",
            "2011-12-01   0.014992\n",
            "2011-12-02   0.004563\n",
            "2011-12-05   0.008494\n",
            "2011-12-06  -0.005242\n",
            "2011-12-07  -0.004758\n",
            "2011-12-08   0.004035\n",
            "2011-12-09   0.007577\n",
            "2011-12-12  -0.004522\n",
            "2011-12-13  -0.007733\n",
            "2011-12-14  -0.022170\n",
            "2011-12-15  -0.003288\n",
            "2011-12-16   0.005489\n",
            "2011-12-19   0.003123\n",
            "2011-12-20   0.035949\n",
            "2011-12-21   0.001263\n",
            "2011-12-22   0.005297\n",
            "2011-12-23   0.011993\n",
            "2011-12-27   0.007934\n",
            "2011-12-28  -0.009569\n",
            "2011-12-29   0.006159\n",
            "2011-12-30  -0.000296\n",
            "\n",
            "[1323 rows x 1 columns]\n",
            "            Adj Close\n",
            "2006-10-02        NaN\n",
            "2006-10-03  -0.010474\n",
            "2006-10-04   0.017396\n",
            "2006-10-05  -0.007323\n",
            "2006-10-06  -0.008185\n",
            "2006-10-09   0.005509\n",
            "2006-10-10  -0.011048\n",
            "2006-10-11  -0.007889\n",
            "2006-10-12   0.027344\n",
            "2006-10-13  -0.003194\n",
            "2006-10-16   0.005052\n",
            "2006-10-17  -0.014831\n",
            "2006-10-18   0.003225\n",
            "2006-10-19   0.058120\n",
            "2006-10-20   0.012080\n",
            "2006-10-23   0.018711\n",
            "2006-10-24  -0.005046\n",
            "2006-10-25   0.007743\n",
            "2006-10-26   0.006224\n",
            "2006-10-27  -0.021895\n",
            "2006-10-30   0.000124\n",
            "2006-10-31   0.008173\n",
            "2006-11-01  -0.023965\n",
            "2006-11-02  -0.002277\n",
            "2006-11-03  -0.008775\n",
            "2006-11-06   0.017975\n",
            "2006-11-07   0.009986\n",
            "2006-11-08   0.023811\n",
            "2006-11-09   0.010737\n",
            "2006-11-10  -0.002643\n",
            "...               ...\n",
            "2011-11-17  -0.019314\n",
            "2011-11-18  -0.006566\n",
            "2011-11-21  -0.015942\n",
            "2011-11-22   0.020121\n",
            "2011-11-23  -0.025610\n",
            "2011-11-25  -0.009363\n",
            "2011-11-28   0.033936\n",
            "2011-11-29  -0.007794\n",
            "2011-11-30   0.023830\n",
            "2011-12-01   0.014881\n",
            "2011-12-02   0.004552\n",
            "2011-12-05   0.008458\n",
            "2011-12-06  -0.005255\n",
            "2011-12-07  -0.004769\n",
            "2011-12-08   0.004027\n",
            "2011-12-09   0.007548\n",
            "2011-12-12  -0.004532\n",
            "2011-12-13  -0.007763\n",
            "2011-12-14  -0.022420\n",
            "2011-12-15  -0.003293\n",
            "2011-12-16   0.005474\n",
            "2011-12-19   0.003118\n",
            "2011-12-20   0.035318\n",
            "2011-12-21   0.001262\n",
            "2011-12-22   0.005283\n",
            "2011-12-23   0.011922\n",
            "2011-12-27   0.007903\n",
            "2011-12-28  -0.009615\n",
            "2011-12-29   0.006140\n",
            "2011-12-30  -0.000296\n",
            "\n",
            "[1323 rows x 1 columns]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "u_O6ovjp7t_N",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 576
        },
        "outputId": "9765d128-d368-4ae9-fa71-7521c7d2d682"
      },
      "cell_type": "code",
      "source": [
        "# Resample `aapl` to business months, take last observation as value \n",
        "monthly = aapl.resample('BM').apply(lambda x: x[-1])\n",
        "\n",
        "# Calculate the monthly percentage change\n",
        "monthly.pct_change()\n",
        "\n",
        "# Resample `aapl` to quarters, take the mean as value per quarter\n",
        "quarter = aapl.resample(\"4M\").mean()\n",
        "\n",
        "# Calculate the quarterly percentage change\n",
        "quarter.pct_change()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Open</th>\n",
              "      <th>High</th>\n",
              "      <th>Low</th>\n",
              "      <th>Close</th>\n",
              "      <th>Volume</th>\n",
              "      <th>Adj Close</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2006-10-31</th>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2007-02-28</th>\n",
              "      <td>0.125777</td>\n",
              "      <td>0.126451</td>\n",
              "      <td>0.121460</td>\n",
              "      <td>0.122860</td>\n",
              "      <td>0.369611</td>\n",
              "      <td>0.122860</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2007-06-30</th>\n",
              "      <td>0.196030</td>\n",
              "      <td>0.195413</td>\n",
              "      <td>0.198331</td>\n",
              "      <td>0.197735</td>\n",
              "      <td>-0.080296</td>\n",
              "      <td>0.197735</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2007-10-31</th>\n",
              "      <td>0.400961</td>\n",
              "      <td>0.404613</td>\n",
              "      <td>0.392010</td>\n",
              "      <td>0.400796</td>\n",
              "      <td>0.306882</td>\n",
              "      <td>0.400796</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2008-02-29</th>\n",
              "      <td>0.127066</td>\n",
              "      <td>0.130711</td>\n",
              "      <td>0.117746</td>\n",
              "      <td>0.120394</td>\n",
              "      <td>0.172293</td>\n",
              "      <td>0.120394</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2008-06-30</th>\n",
              "      <td>-0.003550</td>\n",
              "      <td>-0.004290</td>\n",
              "      <td>0.005927</td>\n",
              "      <td>0.003673</td>\n",
              "      <td>-0.209762</td>\n",
              "      <td>0.003673</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2008-10-31</th>\n",
              "      <td>-0.114267</td>\n",
              "      <td>-0.108879</td>\n",
              "      <td>-0.124618</td>\n",
              "      <td>-0.118803</td>\n",
              "      <td>0.133219</td>\n",
              "      <td>-0.118803</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2009-02-28</th>\n",
              "      <td>-0.363639</td>\n",
              "      <td>-0.363388</td>\n",
              "      <td>-0.359305</td>\n",
              "      <td>-0.360865</td>\n",
              "      <td>-0.161601</td>\n",
              "      <td>-0.360865</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2009-06-30</th>\n",
              "      <td>0.312134</td>\n",
              "      <td>0.304359</td>\n",
              "      <td>0.324702</td>\n",
              "      <td>0.316588</td>\n",
              "      <td>-0.386935</td>\n",
              "      <td>0.316588</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2009-10-31</th>\n",
              "      <td>0.421239</td>\n",
              "      <td>0.411193</td>\n",
              "      <td>0.425117</td>\n",
              "      <td>0.415901</td>\n",
              "      <td>-0.158270</td>\n",
              "      <td>0.415901</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2010-02-28</th>\n",
              "      <td>0.175612</td>\n",
              "      <td>0.176085</td>\n",
              "      <td>0.172864</td>\n",
              "      <td>0.173693</td>\n",
              "      <td>0.170633</td>\n",
              "      <td>0.173693</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2010-06-30</th>\n",
              "      <td>0.223045</td>\n",
              "      <td>0.223317</td>\n",
              "      <td>0.219063</td>\n",
              "      <td>0.223611</td>\n",
              "      <td>0.203680</td>\n",
              "      <td>0.223611</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2010-10-31</th>\n",
              "      <td>0.094380</td>\n",
              "      <td>0.094268</td>\n",
              "      <td>0.099356</td>\n",
              "      <td>0.096125</td>\n",
              "      <td>-0.157478</td>\n",
              "      <td>0.096125</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2011-02-28</th>\n",
              "      <td>0.221393</td>\n",
              "      <td>0.218082</td>\n",
              "      <td>0.225622</td>\n",
              "      <td>0.221858</td>\n",
              "      <td>-0.230726</td>\n",
              "      <td>0.221858</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2011-06-30</th>\n",
              "      <td>0.034143</td>\n",
              "      <td>0.033863</td>\n",
              "      <td>0.031616</td>\n",
              "      <td>0.031222</td>\n",
              "      <td>-0.043455</td>\n",
              "      <td>0.031222</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2011-10-31</th>\n",
              "      <td>0.127202</td>\n",
              "      <td>0.133189</td>\n",
              "      <td>0.124572</td>\n",
              "      <td>0.130452</td>\n",
              "      <td>0.429821</td>\n",
              "      <td>0.130452</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2012-02-29</th>\n",
              "      <td>0.013755</td>\n",
              "      <td>0.008387</td>\n",
              "      <td>0.016799</td>\n",
              "      <td>0.011002</td>\n",
              "      <td>-0.404723</td>\n",
              "      <td>0.011002</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                Open      High       Low     Close    Volume  Adj Close\n",
              "2006-10-31       NaN       NaN       NaN       NaN       NaN        NaN\n",
              "2007-02-28  0.125777  0.126451  0.121460  0.122860  0.369611   0.122860\n",
              "2007-06-30  0.196030  0.195413  0.198331  0.197735 -0.080296   0.197735\n",
              "2007-10-31  0.400961  0.404613  0.392010  0.400796  0.306882   0.400796\n",
              "2008-02-29  0.127066  0.130711  0.117746  0.120394  0.172293   0.120394\n",
              "2008-06-30 -0.003550 -0.004290  0.005927  0.003673 -0.209762   0.003673\n",
              "2008-10-31 -0.114267 -0.108879 -0.124618 -0.118803  0.133219  -0.118803\n",
              "2009-02-28 -0.363639 -0.363388 -0.359305 -0.360865 -0.161601  -0.360865\n",
              "2009-06-30  0.312134  0.304359  0.324702  0.316588 -0.386935   0.316588\n",
              "2009-10-31  0.421239  0.411193  0.425117  0.415901 -0.158270   0.415901\n",
              "2010-02-28  0.175612  0.176085  0.172864  0.173693  0.170633   0.173693\n",
              "2010-06-30  0.223045  0.223317  0.219063  0.223611  0.203680   0.223611\n",
              "2010-10-31  0.094380  0.094268  0.099356  0.096125 -0.157478   0.096125\n",
              "2011-02-28  0.221393  0.218082  0.225622  0.221858 -0.230726   0.221858\n",
              "2011-06-30  0.034143  0.033863  0.031616  0.031222 -0.043455   0.031222\n",
              "2011-10-31  0.127202  0.133189  0.124572  0.130452  0.429821   0.130452\n",
              "2012-02-29  0.013755  0.008387  0.016799  0.011002 -0.404723   0.011002"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 13
        }
      ]
    },
    {
      "metadata": {
        "id": "WNXnm62M7w-T",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1105
        },
        "outputId": "040db694-a5b1-41b1-ecbb-b54139c5f741"
      },
      "cell_type": "code",
      "source": [
        "# Daily returns\n",
        "daily_pct_c = daily_close / daily_close.shift(1) - 1\n",
        "\n",
        "# Print `daily_pct_c`\n",
        "print(daily_pct_c)"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "            Adj Close\n",
            "2006-10-02        NaN\n",
            "2006-10-03  -0.010419\n",
            "2006-10-04   0.017549\n",
            "2006-10-05  -0.007296\n",
            "2006-10-06  -0.008152\n",
            "2006-10-09   0.005524\n",
            "2006-10-10  -0.010987\n",
            "2006-10-11  -0.007858\n",
            "2006-10-12   0.027721\n",
            "2006-10-13  -0.003189\n",
            "2006-10-16   0.005065\n",
            "2006-10-17  -0.014721\n",
            "2006-10-18   0.003231\n",
            "2006-10-19   0.059842\n",
            "2006-10-20   0.012153\n",
            "2006-10-23   0.018887\n",
            "2006-10-24  -0.005033\n",
            "2006-10-25   0.007773\n",
            "2006-10-26   0.006244\n",
            "2006-10-27  -0.021657\n",
            "2006-10-30   0.000124\n",
            "2006-10-31   0.008207\n",
            "2006-11-01  -0.023680\n",
            "2006-11-02  -0.002274\n",
            "2006-11-03  -0.008736\n",
            "2006-11-06   0.018138\n",
            "2006-11-07   0.010036\n",
            "2006-11-08   0.024096\n",
            "2006-11-09   0.010794\n",
            "2006-11-10  -0.002640\n",
            "...               ...\n",
            "2011-11-17  -0.019128\n",
            "2011-11-18  -0.006545\n",
            "2011-11-21  -0.015816\n",
            "2011-11-22   0.020325\n",
            "2011-11-23  -0.025285\n",
            "2011-11-25  -0.009319\n",
            "2011-11-28   0.034519\n",
            "2011-11-29  -0.007764\n",
            "2011-11-30   0.024116\n",
            "2011-12-01   0.014992\n",
            "2011-12-02   0.004563\n",
            "2011-12-05   0.008494\n",
            "2011-12-06  -0.005242\n",
            "2011-12-07  -0.004758\n",
            "2011-12-08   0.004035\n",
            "2011-12-09   0.007577\n",
            "2011-12-12  -0.004522\n",
            "2011-12-13  -0.007733\n",
            "2011-12-14  -0.022170\n",
            "2011-12-15  -0.003288\n",
            "2011-12-16   0.005489\n",
            "2011-12-19   0.003123\n",
            "2011-12-20   0.035949\n",
            "2011-12-21   0.001263\n",
            "2011-12-22   0.005297\n",
            "2011-12-23   0.011993\n",
            "2011-12-27   0.007934\n",
            "2011-12-28  -0.009569\n",
            "2011-12-29   0.006159\n",
            "2011-12-30  -0.000296\n",
            "\n",
            "[1323 rows x 1 columns]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "azBSZ4WK70EE",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 515
        },
        "outputId": "9b1a1016-1033-40ec-9d06-d0477108ec54"
      },
      "cell_type": "code",
      "source": [
        "# Import matplotlib\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Plot the distribution of `daily_pct_c`\n",
        "daily_pct_c.hist(bins=50)\n",
        "\n",
        "# Show the plot\n",
        "plt.show()\n",
        "\n",
        "# Pull up summary statistics\n",
        "print(daily_pct_c.describe())"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ysrR9+/bmqxoAgFYuYEDX1NRoxYoVGjhwoH/ZmjVrNGnSJG3dulU33HCDduzYoZqaGq1d\nu1abN29Wfn6+XnzxRZ05c6ZZiwcAoLUKGNBxcXFav369PB6Pf1lxcbGGDh0qSRoyZIj27dunAwcO\nqGfPnnI6nYqPj1ffvn1VUlLSfJUDANCKOQKu4HDI4Wi42vnz5xUXFydJat++vbxer8rLy+Vyufzr\nuFwueb3eRvedlJQghyPGSt0Rx+12hruEsLFz7xL9N5dI+Vwjpc7mYOfepeD7DxjQgfh8vqta/t8q\nKmqCPXxEcLud8nqrw11GWNi5d4n+m1MkfK52Hn879y5duf+rCW1Ld3EnJCTom2++kSSVlZXJ4/HI\n4/GovLzcv87JkycbnBYHAABNZymgb7vtNhUVFUmSdu/erUGDBql37946ePCgqqqqdO7cOZWUlKhf\nv34hLRYAALsIeIr70KFDWrVqlU6cOCGHw6GioiKtXr1aOTk5Kigo0HXXXacxY8YoNjZWCxYs0LRp\n0xQVFaWZM2fK6bT39QcAAKwKGNCpqanKz8+/ZPmmTZsuWZaZmanMzMzQVAYAgI3xJDEAAAxEQAMA\nYCACGgAAAxHQAAAYiIAGAMBABDQAAAYK+lGfACLP/Xl7wl0CgACYQQMAYCACGgAAAxHQAAAYiIAG\nAMBABDQAAAYioAEAMBABDQCAgQhoAAAMREADAGAgAhoAAAMR0AAAGIiABgDAQAQ0AAAGIqABADAQ\nAQ0AgIEIaAAADOQIdwEAYMX9eXsafX9jTloLVQI0D2bQAAAYiIAGAMBABDQAAAYioAEAMJClm8S2\nb9+uwsJC/+tDhw4pNTVVNTU1SkhIkCQtWrRIqampoakSAACbsRTQWVlZysrKkiTt379fr7/+uo4e\nParc3Fx17do1pAUCAGBHQZ/iXrt2rWbMmBGKWgAAwP8L6nvQn376qTp16iS32y1JWrNmjSoqKpSc\nnKwlS5YoPj4+JEUCAGA3QQX0jh07NHbsWEnSlClT1K1bN3Xu3FmPPfaYXn75ZU2bNq3R7ZOSEuRw\nxARTQsRwu53hLiFs7Ny7RP/hYsrnbkod4WDn3qXg+w8qoIuLi7V06VJJUnp6un95WlqaXnvttYDb\nV1TUBHP4iOF2O+X1Voe7jLCwc+8S/YeTCZ+7ncffzr1LV+7/akLb8jXosrIyXXvttYqLi5PP59PU\nqVNVVVUl6bvgTklJsbprAABsz/IM2uv1yuVySZKioqI0YcIETZ06VW3atFHHjh01e/bskBUJAIDd\nWA7o1NRU/f73v/e/HjlypEaOHBmSogAAsDueJAYAgIEIaAAADERAAwBgIAIaAAADEdAAABiIgAYA\nwEAENAAABiKgAQAwUFDP4gZgpvvz9oS7BABBYgYNAICBCGgAAAxEQAMAYCACGgAAAxHQAAAYiLu4\nAbRKge5k35iT1kKVANYwgwYAwEAENAAABiKgAQAwEAENAICBCGgAAAxEQAMAYCACGgAAAxHQAAAY\niIAGAMBABDQAAAYioAEAMBABDQCAgQhoAAAMREADAGAgSz83WVxcrLlz5yolJUWS1LVrV/3iF7/Q\nwoULVV9fL7fbrSeffFJxcXEhLRYAALuw/HvQ/fv315o1a/yvFy9erEmTJmnEiBF6+umntWPHDk2a\nNCkkRQIAYDchO8VdXFysoUOHSpKGDBmiffv2hWrXAADYjuUZ9NGjR/Xggw+qsrJSs2bN0vnz5/2n\ntNu3by+v1xtwH0lJCXI4YqyWEFHcbme4SwgbO/cu0b+pWmpc7Dz+du5dCr5/SwF94403atasWRox\nYoSOHz+uKVOmqL6+3v++z+dr0n4qKmqsHD7iuN1Oeb3V4S4jLOzcu0T/JmuJcbHz+Nu5d+nK/V9N\naFs6xd2xY0eNHDlSUVFR6ty5szp06KDKykp98803kqSysjJ5PB4ruwYAALIY0IWFhdqwYYMkyev1\n6tSpU7rrrrtUVFQkSdq9e7cGDRoUuioBALAZS6e409LS9PDDD+uvf/2ramtrtXz5cvXo0UOLFi1S\nQUGBrrvuOo0ZMybUtQIAYBuWArpt27Z64YUXLlm+adOmoAsCAAA8SQwAACMR0AAAGIiABgDAQAQ0\nAAAGIqABADCQ5Ud9AkAkuz9vT6Pvb8xJa6FKgMtjBg0AgIEIaAAADERAAwBgIAIaAAADEdAAABiI\ngAYAwEAENAAABiKgAQAwEAENAICBCGgAAAxEQAMAYCACGgAAAxHQAAAYiIAGAMBABDQAAAYioAEA\nMBABDQCAgRzhLgDA1bs/b0+4SwDQzJhBAwBgIAIaAAADEdAAABiIgAYAwEAENAAABrJ8F/cTTzyh\njz/+WHV1dXrggQe0Z88eHT58WImJiZKkadOm6Y477ghVnQAA2IqlgP7ggw905MgRFRQUqKKiQmPH\njtWAAQM0f/58DRkyJNQ1AgBgO5YC+pZbblGvXr0kSe3atdP58+dVX18f0sIAALCzKJ/P5wtmBwUF\nBfroo48UExMjr9er2tpatW/fXsuWLZPL5Wp027q6ejkcMcEcHrClUQv+FO4SbO/PT/0s3CWglQvq\nSWJvvfWWduzYoY0bN+rQoUNKTExUjx49tG7dOj377LN69NFHG92+oqImmMNHDLfbKa+3OtxlhIWd\ne5fovzVryrjaefzt3Lt05f7dbmeT92H5Lu53331XL7zwgtavXy+n06mBAweqR48ekqS0tDSVlpZa\n3TUAALZnaQZdXV2tJ554Qps3b/bftT179mwtXLhQ119/vYqLi5WSkhLSQoHWJNCztDfmpLVQJQBM\nZSmgX3vtNVVUVGjevHn+ZXfddZfmzZunNm3aKCEhQbm5uSErEgAAu7EU0HfffbfuvvvuS5aPHTs2\n6IIAAABPEgMAwEgENAAABgrqa1YAmkegm8gAtH7MoAEAMBABDQCAgTjFDQAWNOUyBI8DRTCYQQMA\nYCACGgAAAxHQAAAYiIAGAMBABDQAAAbiLm6gGfCgEQDBYgYNAICBCGgAAAxEQAMAYCACGgAAAxHQ\nAAAYiLu4AQu4SxuhEOjP0cactBaqBCZiBg0AgIEIaAAADERAAwBgIK5Bw3a47odIwZ9Ve2MGDQCA\ngQhoAAAMREADAGAgAhoAAANxkxjwP3gICQATMIMGAMBAIZ9Br1y5UgcOHFBUVJSWLFmiXr16hfoQ\nAAC0eiEN6P379+s///mPCgoK9Pnnn2vJkiUqKCgI5SEAIGKMWvCnsB4/2Ms1fM86vEIa0Pv27dOw\nYcMkScnJyaqsrNTZs2fVtm3bUB7mivhSf8sI9nPmGi8QGs39d6kl/q4H++9yc9cYztwI6TXo8vJy\nJSUl+V+7XC55vd5QHgIAAFuI8vl8vlDtbNmyZRo8eLB/Fj1x4kStXLlSXbp0CdUhAACwhZDOoD0e\nj8rLy/2vT548KbfbHcpDAABgCyEN6Ntvv11FRUWSpMOHD8vj8bTY9WcAAFqTkN4k1rdvX9100026\n5557FBUVpcceeyyUuwcAwDZCeg0aAACEBk8SAwDAQAQ0AAAG4scyQqC2tlY5OTn68ssvFRMTo9zc\nXF1//fUN1qmsrNT8+fN17bXXas2aNZKknTt36ne/+506d+4sSbrtttv0y1/+ssXrD5bV/puyXSRo\nSh+FhYV68cUXFR0drQkTJigrKyvix7+xx/r+7W9/09NPP62YmBj99Kc/1cyZMwNuE2mutv/i4mLN\nnTtXKSkpkqSuXbtq2bJl4So/aI31f+HCBT366KM6cuSIdu7c2aRtIs3V9m9p/H0I2s6dO33Lly/3\n+Xw+37vvvuubO3fuJevMnTvXt3btWt/s2bP9y1555RVfXl5ei9XZXKz235TtIkGgPs6dO+cbPny4\nr6qqynf+/HnfnXfe6auoqIjo8S8uLvZNnz7d5/P5fEePHvVNmDChwfsjRozwffnll776+nrfxIkT\nfUeOHAm4TSSx0v8HH3zQ4M9/JAvU/69//Wvfpk2bfGPHjm3yNpHESv9Wxp9T3CGwb98+paenS/pu\nFlRSUnLJOr/5zW/04x//uKVLaxFW+2/KdpEgUB8HDhxQz5495XQ6FR8fr759+0Zsr9+70mN9Jen4\n8eP6wQ9+oE6dOik6OlqDBw/Wvn37Gt0m0ljpvzUJNJYPPfSQ//2mbhNJrPRvBQEdAuXl5XK5XJKk\n6OhoRUVF6eLFiw3WudL3wffv369p06bp3nvv1WeffdbstTYHq/03ZbtIEKiP/35favgI3Egd/8Ye\n6+v1ei/bb2t6FLCV/iXp6NGjevDBBzVx4kS9//77LVt0CAUayyv9fbfD+EtX/vf+asefa9BXafv2\n7dq+fXuDZQcOHGjw2tfEb6717t1bLpdLd9xxhz755BMtWrRIf/7zn0NWa3MIZf//y+p2LSkU/X//\nfiSO/5VYGbtIGO+makovN954o2bNmqURI0bo+PHjmjJlinbv3q24uLgWqLB5Mf7NM/4E9FXKyspS\nVlZWg2U5OTnyer3q3r27amtr5fP5mvSXLjk5WcnJyZKkPn366PTp06qvr1dMTEyz1B4Koezf4/FY\n2i6crPR/uUfg3nzzzRE5/t9r7LG+//teWVmZPB6PYmNjW82jgK3037FjR40cOVKS1LlzZ3Xo0EFl\nZWUReWOklcc6t6ZHQVvpxcr4c4o7BG6//Xa98cYbkqS9e/fq1ltvbdJ269ev16uvvipJKi0tlcvl\nioh/nP+X1f6tbmeaQH307t1bBw8eVFVVlc6dO6eSkhL169cvose/scf6/uhHP9LZs2f1xRdfqK6u\nTnv37tXtt9/eqh4FbKX/wsJCbdiwQdJ3p8FPnTqljh07hq2HYFgZS7uM/5VYGX+eJBYC9fX1Wrp0\nqf79738rLi5OeXl56tSpk9atW6dbbrlFvXr10tSpU1VVVaWysjKlpKRoxowZ6tKlix555BH5fD7V\n1dVF7NcOrPbfv3//y24XaQL136dPH73xxhvasGGDoqKilJ2drdGjR+vrr7+O6PFfvXq1PvroI/9j\nfT/77DM5nU6lp6frww8/1OrVqyVJw4cP17Rp0y67Tffu3cPZQlCutv+zZ8/q4YcfVlVVlWprazVr\n1iwNHjw4zF1Y11j/c+bM0ddff60jR44oNTVVEyZM0KhRo2wz/pfrf8iQIVc9/gQ0AAAG4hQ3AAAG\nIqABADAQAQ0AgIEIaAAADERAAwBgIAIaAAADEdAAABiIgAYAwED/B2PXeVxP71uLAAAAAElFTkSu\nQmCC\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "         Adj Close\n",
            "count  1322.000000\n",
            "mean      0.001566\n",
            "std       0.023992\n",
            "min      -0.179195\n",
            "25%      -0.010672\n",
            "50%       0.001677\n",
            "75%       0.014306\n",
            "max       0.139050\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "ouIVUYGB73P7",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1105
        },
        "outputId": "b5fce944-7ed6-46f1-f93d-19b9f6ff4b55"
      },
      "cell_type": "code",
      "source": [
        "# Calculate the cumulative daily returns\n",
        "cum_daily_return = (1 + daily_pct_c).cumprod()\n",
        "\n",
        "# Print `cum_daily_return`\n",
        "print(cum_daily_return)"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "            Adj Close\n",
            "2006-10-02        NaN\n",
            "2006-10-03   0.989581\n",
            "2006-10-04   1.006946\n",
            "2006-10-05   0.999599\n",
            "2006-10-06   0.991451\n",
            "2006-10-09   0.996928\n",
            "2006-10-10   0.985974\n",
            "2006-10-11   0.978226\n",
            "2006-10-12   1.005343\n",
            "2006-10-13   1.002137\n",
            "2006-10-16   1.007213\n",
            "2006-10-17   0.992386\n",
            "2006-10-18   0.995592\n",
            "2006-10-19   1.055170\n",
            "2006-10-20   1.067994\n",
            "2006-10-23   1.088165\n",
            "2006-10-24   1.082688\n",
            "2006-10-25   1.091103\n",
            "2006-10-26   1.097916\n",
            "2006-10-27   1.074138\n",
            "2006-10-30   1.074272\n",
            "2006-10-31   1.083088\n",
            "2006-11-01   1.057441\n",
            "2006-11-02   1.055036\n",
            "2006-11-03   1.045819\n",
            "2006-11-06   1.064788\n",
            "2006-11-07   1.075474\n",
            "2006-11-08   1.101389\n",
            "2006-11-09   1.113278\n",
            "2006-11-10   1.110339\n",
            "...               ...\n",
            "2011-11-17   5.041545\n",
            "2011-11-18   5.008550\n",
            "2011-11-21   4.929335\n",
            "2011-11-22   5.029522\n",
            "2011-11-23   4.902351\n",
            "2011-11-25   4.856666\n",
            "2011-11-28   5.024313\n",
            "2011-11-29   4.985306\n",
            "2011-11-30   5.105530\n",
            "2011-12-01   5.182074\n",
            "2011-12-02   5.205718\n",
            "2011-12-05   5.249934\n",
            "2011-12-06   5.222415\n",
            "2011-12-07   5.197569\n",
            "2011-12-08   5.218542\n",
            "2011-12-09   5.258082\n",
            "2011-12-12   5.234304\n",
            "2011-12-13   5.193829\n",
            "2011-12-14   5.078681\n",
            "2011-12-15   5.061983\n",
            "2011-12-16   5.089768\n",
            "2011-12-19   5.105664\n",
            "2011-12-20   5.289207\n",
            "2011-12-21   5.295886\n",
            "2011-12-22   5.323938\n",
            "2011-12-23   5.387791\n",
            "2011-12-27   5.430537\n",
            "2011-12-28   5.378574\n",
            "2011-12-29   5.411702\n",
            "2011-12-30   5.410099\n",
            "\n",
            "[1323 rows x 1 columns]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "hNI3TdWa77L0",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "outputId": "64cc6b3e-aa29-4940-d3c5-d9b2b3e3b462"
      },
      "cell_type": "code",
      "source": [
        "# Import matplotlib\n",
        "import matplotlib.pyplot as plt \n",
        "\n",
        "# Plot the cumulative daily returns\n",
        "cum_daily_return.plot(figsize=(12,8))\n",
        "\n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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13HMXEgMuERERUZ6k9uDGK7hBTTuCXi+ou5JVxQJusuSQ2VQr3+/slxeNWczjB9xkSktE\nWN0oQr5WbRCe3VyZ83nzjQGXiIiIKA8kSUI4Ek3oX9UJAgRBXmTWr5mYEIlE1X7aKltqwLWa9aiv\nTmwvaKy1AQDufmwXAMCSRQUXAP7zhjPV22oFN5y6E9qla2ehvsqMNkdFVuctJAZcIiIiojxQemqT\nZ88a9DpEItGEmbdiVFKrqGaTXq2kKi48rS3l/I21iRXdbHpwAaDNUYEL18jnGxoJIBQW1XCtvdar\nNizAjz6zPqvWh0Ib9zt/88038YUvfAELFy4EACxatAi33XbblF8YERERUTlRZssmB0Sr2QBfMIJB\nzUgwAHhjTx8AQJLiW/Aum1uHVQsasGH1jJTzNyUFXHMWUxQU1RVylfhHj76NCqtR3UwiOViXiqyi\n/Zlnnomf/exnU30tRERERGXL5QkCkBeDaVXZjBhyB+EelReRVdqM8PjC+NvrxwAABzpd6nNPW+TA\nhtWtac+vbA6hyGZMmKJB0+6ghFsg805nxa40r5qIiIioxDi9sYBbmRhwK20m+IMR/GOrPAO3LsPo\nLgCYN6Mq4/lNSZXhXAJucjhWGA3F346QTlYV3EOHDuHTn/40RkZGcNNNN2H9+vUZn1tba4OhRP8w\nTobDUfwrCSl7fD/LC9/P8sL3s/xMt/c0cmQYADCrpTrhe2+otQEdTvV+S4M9Yfvc1UsaYTEZ8MrO\nLqxa2qzufjYeR31F1n/GVrs57fEZLdVZV3GL6f0cN+DOmTMHN910Ey699FJ0dnbiuuuuw3PPPQeT\nKf3ICqfTl/Z4OXI4KjEwkLp/M5Umvp/lhe9neeH7WX6m43va2TsCANAjmvC9C5KU8LzkMuEV6+fA\nZNTjQ+tmY3h4dMyvYdALiIjy+fy+4IT/jJ3D3pRZuekU4v0cK1CPG8mbmppw2WWXQRAEzJo1Cw0N\nDejr65vUCyQiIiIqd0oPbm1SD25yK4FBUzGd3VSZ0nowlu/ecJZ6O5tgqlWRtPXvJ99/Ss7nKBbj\nBtwnn3wS999/PwBgYGAAQ0NDaGpqmvILIyIiIionTiXgJvXgJk9VMOg0c3J1uQXMpjqbejvXbFpX\nlXhd9qTAW0rGbVG44IILcMstt+CFF15AOBzGt7/97YztCURERESUntMbhMmog9WcGL+Sx3kZDPFk\nqtfnXkFtrrPhxLAv5+1066ssON7nVe8nV3RLybgBt6KiAvfee28+roWIiIiobLk8QdRUmFM+9k+p\n4GoWkelPokXg1mvWoLPfi5mNue04dv6aVuw8OKjer7Bmt1FEMeKYMCIiIqIpFhGjcPvCKf23QJoe\nXG3APYkKbqXNhFPm1OX8uuVz67GwrVq9X8oVXAZcIiIioik24pU3cUjuvwXSVXA1LQq6/EY1bVtD\ncitFKWHAJSIiIppimTZ5ANL04GoruDkuMpuoGQ3aRWqlOUEBYMAlIiIimnJKBbfGnrpQf8we3DwH\n3JmNxbNZw0Qw4BIREVFJ6Oz3Ylt7f6Ev46QEQhEAgCXNx/6pPbgTm6IwEbkuTCtWpdtcQURERNPK\nfzywFQCw7Ob3wGYprQVQobAIILVam3zsY+cvSKjg5joHd6JqKkz4wLo5mN1c2pVcBlwiIiIqKb5g\npOQCbjAcBZAh4GoquEtm16Bv2K/ez3eLgiAIuOLceXn9mlOBLQpERERUUnyBiHp7NBDGwS5XAa8m\nO0G1gpsavbShVycIST24jGong39qREREVPTcvpB6e1QTcG+/fyt+8NAO9Lv86V5WcJt2duOGO15E\n79AoAMBkGrtFQa8TksaEle4kg0JiiwIREREVtYNdLry0o1u9r63gOj3y+K0j3SNorMlta9p8ePDZ\n/QCArfvkxXHpWhS0fbY6nQCDoXBTFMoFK7hERERU1H7w0A5s2dun3vcH5YAblST12LETnrxf18lI\nnpiQTK8TYCzgIrNywYBLRERERUsJswBgilU2QxG5nzUcW7gFAMd63fm9sCwl75VQX2UZ8/k6QUgY\nDZbvMWHlggGXiIiIitbIaLz3duX8egBAKBZslYVbAHCgawT7Opz5vbgsWE3xbtAzlzaOuzuYTieg\nQjMhYqajPObS5ht7cImIiKhojcS2uAWAmgp5m1sl2GoDLgDs6xjG0tm1+bu4cUiShEAofo22NJs8\nJNPrBNTV2XDzVaeivsqMVgbck8IKLhERERUtlzdewV21sAFAfNOEw90jAIB5M6oAAAc6R/Dzx3cl\nTFzI7msE1XNOpmBYTOgTNhrG7r8FgGjs6Svn1zPcTgADLhERERUtV6yC+9krVqDSZgIgtyhIkoRf\nP7UXANBYK09PONDpws6Dg3j38FDW5+8dGsWXfvEaHnnh4CRfOeAPyqF5TnMlTl/swPoVzRmfW2GV\n2xLSzcml3LFFgYiIiIqWEnBrKkxq+AtGxITKbkN1+vFgT2/pgFGvw7mrZqQdzwUAT7xyBADw8ts9\n+Lf3LZnMS1cXyM1prsR145z7B59aC6cnWHI7tBUrBlwiIiIqWr1DPgBAU50NEVFeXBYKi+jsj48F\nq7IlhsJQRH7enzcdBgA88sJB/OpL58JiSow9x/s82L5/QL0/7A6gbpwpB7lwxsJ5ld007nPtFiPs\nDLeThnVwIiIiKlrdA15UV5hQYTXCGlukNRqIoLPfqz7HlFSdDYVFiNFowrG+4dSdzjr6Emfn3vKr\n1/Hgs/txtNeNp147Ck+OvbzJBmK7qzmKcAOKcseAS0RERAUTlSQ8s6Uj7Va7/mAEQ+4g2hrsAORd\nwGxmA1yeII73xQPunObKhNeFwiKCocRFY28dGEAyZcKBMn4MkLfW/e7vt+OJzUfxwN/3nfw3BqB3\nMFZ9rrVN6DyUOwZcIiIiKpi3Dw7isU2H8f0Ht6c81j0wCgAJ0wRqKs1weYPoGRyFXifg+588C7Oa\nkgJuJKqG16Y6OVwe6nKlnF8Jwc116QNo9+BoyrFXd/XiBw+9ldXUhY4TbggCMLOR0xDyjQGXiIiI\nCsYXkBdieXzhlMe6BuUqbavDrh6rrTBhNBDBsCeI+moLWurtKa8LhaPwx8Lr0lk1sJoN8PhTz6+E\nYLs1fe9rOCJPa9B64Ol9ONg1gv2dqYFZKxqV0NHnxYwGO8zjbM9Lk48Bl4iIiArG48/c53oitsBs\nhibE1lTKmz34gxG1JxcAPrBuTsJWvoGQHJwtJgMqbUZ40wRo5TnL59Zh+dw69bjS8zsyGoJ7NP31\n3f2nd8b8vnqHfQiGxZT2CcoPTlEgIiKigtEuFnP7QqiKzbp9a38/ntvWCQCojYVaIL6bGZC4M9gV\n587DuafOwFfueR2hsKhWZy0mPSqtRgyNBCBJUsJWuUqLQoXViC/9yyr0DfsQlSS01NvxwNP78Oqu\nXgRCIqpjz9dWcxPruqmO9boBAHOaq7L8k6DJxIBLREREBXO0x63e7h0chdcWxgNP70PfsE89rh2z\npQ271qStb/V6ObyKUQmBYDzg1lZZcLjHjX6XP2HBlzYEA/F+XQCwxkaK+WNVXkCe3qAw6HWIShJ0\nmsCsdeyEPKGBFdzCYIsCERERFYQvEEGfMz49oWfIh827enCkx50SJhW1FdqAm9jbqtfFAq4oxVsU\nzAYsnV0LANhzdDjh+fE2htQeWeWYEpQBYGgkoN6OiFGMeDO3V3T1eyGAC8wKhQGXiIiICuL3/2hP\nuN8zOIqk8bX4xrWnJdyv0VRw57Ykfvyv18mxRoxK6qI1s1Gv9tfuPpIccEXodUJCgFZYYuE5oBk3\nNuSWA66yaKx7wJvyOoUvGIHFrE+Z0Uv5wYBLREREBTEcC4xrlzUBAHqHRuELJi4GSx7hpe3BXdRW\nk/CY0qIQiUbxp5cOAZArsY4aK5pqrdh33Imopo82EBZhMekT+nIVyq5nTm8Qr7zTAzEaxWCsgntq\nbG5u10DqGDFFKCzCZGC4LRT24BIREVFBKFHzhsuX4kCnC71DPrUKq0huH6jW9ONWJG3Rq7QohMPx\nMrAyWWFWUyX62vsx4g2pfbyBoJi2PQGIL2D7w7P71esYUgNuA7bu60f3YOYKbjAswszqbcGwgktE\nREQF0TfsQ3OdDXqdDi31djg9QfQ544vLTEZdSvuAThevtlZY0wdcpZUAABCrzjbWytvl9mvOHwhF\nYDalr/XVV1sS7gdConrepXNqYdDr1I0o0gmFozAZGbMKhX/yRERElHceXwijgYgaPB2xQNmvWXQ2\nf0Z12tdWV8hV3OTwKwgC9DpBbSUQBGDJLLmNYXZst7N7/rpHfX4glLmC60gKuMGQiKGRAEwGHart\nJsyot8k9w1L6gWGs4BYWWxSIiIgo73pj2+AqY7ssaSqpSq9rsjtuPBtiNH2w1OsF9bF/vXiR2l97\n6oIGAIB7NISIKLcwiFEpY8Ctsptg0AuIiPK5jva60dHnQWONFYIgoK7KguP9XgSCImyWxGuPiFGI\nUYkLzAqIAZeIiIjyrkcJuHVyBTdd0FyRIeCOtfWt3MMrB9j6qngV1mjQYe2yJmzZ04fv/HYbKmP9\nu5mqrIIgwGzUIyLKo8S27O0DAPS75ApzfMpCJCXghsLimOemqceAS0RERHnXGxuxpbQoWDSbNljN\nBmxYPSNlgkI2lHAJJAZcID6BoXsw3jubrnKsMBoyd3Ja1I0gxJTH7n5sFwDAMMbraWox4BIREVFe\nRSUJDz8nTyeItyjEq50Xn96GD79n3kmdW9u6UJcUcNMFZos5c5U1XYvBZ69YLr/OFK/gJjvUPSK/\nngG3YPgnT0RERHk16IovJKurkquq2oCr3Zp3IpJbB+bPqEp5TqYeXABoc8i7kK1b3qweW73IkfC6\nQFBEv8uv9vVqfeicublfNE0KVnCJiIgor5Q+1otOa1Pn3mpbBapskxNwk7U02FOOWcbok73+siWY\n0WDDZWtn4/XdJwAAutiiNeV6f/rnXYiIUaxe2IDPfWQlolEJggDMb62Go8Y6Bd8FZYMBl4iIiPJq\nIDYKTLvVrraSqowBm2y6NDuWVY5RLbZZjLjy3PkAgGsvWZxQpV00Ux5hphzbeXAQx/s8+PZvtwEA\nGpLaIyi/2KJAREREeaVUcB218QrnZLcoLJ1dm/b4B9fPSbg/tzm1bSGd81e34uLTZ6r35zRXYfnc\nuoTnPL+9S72drlpM+cOAS0RERHmlbObQqPkIXztFYSItCuesaIHJqMPnP7Iy7eMfPGcuPqzpjW11\nnHwQ1V4zkDg1YUY9A24hsUWBiIiI8mrAFYDFpFdn0QKANVbBNRl0Yy78Gs/1ly/F9Zcvzfi4ThBQ\nU2lW7yfvhpYLa9J1GvTxFoiJBGeaOFZwiYiIKG8kScKAy4/meru6yxgQX7RVZTclHJ8Kep18/qaT\nmLOrZU2q4Grn5jpq2INbSKzgEhERUV5EJQnDIwEEw2JKj6rRoEOVzXhSmzvkau2yJoyMhrB+RcuE\nzpNcaTbo4gFXr2MNsZAYcImIiGhKHexy4Zktx1FbacZLO7sBAM1pelRvvfa0Mcd2TRa9TofL1s6e\n8HmSw/hTrx8DALzvzFkTPjdNDAMuERERTakfPLQj5VhLfWqlVtnVrFScdUoTls6pw/PbO/H3NzoS\njlNhsX5OREREeZeugltqBEFAtd0Eu8WYcFy72IwKgwGXiIiIJp0kSegeHMXIaEg99l83rlVvN6Wp\n4Jaq5C2B9ROYzECTgy0KRERENKm2t/fjic1H0DvkU4997PwFaK6z4T+vPxOHekYwo6ECAwOeAl7l\n5LElTVPIx0I5GhsDLhEREU2aA50u/Grj7pTjF57WCgBoa6xAW2NFvi9rSmkruGcubSzglZCCNXQi\nIiLKmj8YGfPxO/4YX1CmVDb/49/PgNEw9dMRCqVWs3GEke0JRYEVXCIiIlJJkoQte/qwZHZtQnDb\nvKsHv326HQBw3fsWY8Oq1pTXKmOyFL/44rlTeq3FQjv9QbvZAxUO3wUiIiJSvbHnBH7zt734zVN7\nEo4r4RYAHvzHfkQlKeHxQZcfT7xyRL3/xY+dOrUXWkR0OiEebKd4FzbKDgMuERERqbbt6wcADLgC\nYz6vbzi+gCwcEfHVe99Q7//yi+dixbz6qbnAItUSW1g24PIX+EoIYMAlIiIijfZOFwBgbktlwvHk\nbWlHA3IvblSS8PjL8crtZWtnw2qefh2QzbGxZwNOBtxiwIBLREREAACXN4hgSAQAaDsQxGgUgZCI\nJbNqcOFpbQCAcFh+3pt7+vCmCazPAAAgAElEQVTctk71udO1B/Uj581HU60V//a+xYW+FAIXmRER\nEVGMUpUFgGBEVG/7YsdtFiPqqsyxx6OQJAm/+dvehHNM1w5UR40VP/jU2YW+DIqZnv/MIiIiohSi\nGFVvh8Px2/GAa4ApNu4rHImiL93H8dM14VJRYcAlIiIiAEBYE3BDkfhtpbJrtxjUFoRQWMSQO3Uh\nGvMtFQMGXCIiIgIAiGK88fZorxtefxgA4AvI/7VZjDAZ5egQjkTRr6ngrl7YAAA4ZW5dvi6XKCMG\nXCIiIgKQWMEFgBff6kI4IiZUcJUWhVAkin5nfFTYdZcsxo9vWo/5M6rzd8FEGXCRGREREQFI7MEF\ngI2vHkX7cSfOWNIIQOnBlWtjLk8Qz26NT0+wWQxlvR0vlRZWcImIiAgAEI7ILQofOW+eeqz9uAuv\nvnsCAFBhMcJuNQIA/rH1uPqcqy9cyHBLRYUBl4iIiADI824BwGY2YM0iB3SxbWeP9rrl4xYj5jRX\n4qxTmhJe994zZub3QonGwYBLREREAIBIrEVBr9fhpitX4I5PrU143G4xQBAEXLCmVT22NinsEhUD\nBlwiIiICAERiUxSMejke1FaZE8Z+2Szy0h2rKb6EZ+0yBlwqPgy4REREBEBbwZVjrV6nU0OtThDi\nAdccD7gm9t5SEWLAJSIiIgBAJLa5g1LBBQAxKld1F7ZVQ6+Tj1vN8VBrNjHgUvHJKuAGAgFcdNFF\n+Mtf/jLV10NEREQFEgiJAACTUZ9ybOWCevWYxaSt4LJWRsUnq5/Ke+65B9XVHNxMRERUzvpiO5M5\naiwpjy2bE9+hTKeLd+YaGHCpCI270cPhw4dx6NAhbNiwIQ+XQ0RERIVyYtgHvU5AfXU84N72b6ej\no8+DWU2VCc8999QZ2LqvDzUV5nxfJtG4BEmSpLGecOONN+K2227Dxo0b0draiiuvvHLME0YiIgxs\nOCciIiopohjFx775NNocFfjplzeM+3wlPgiCMM4zifJvzAruxo0bsWrVKsycmf0AZ6dmX+py53BU\nYmDAU+jLoEnC97O88P0sL3w/p96Ay49QWERTrSUvf9Z8T8tLId5Ph6My42NjBtxNmzahs7MTmzZt\nwokTJ2AymdDc3Ix169ZN+kUSERFR4Yx4QwCAmkq2HFDpGzPg3n333ertn//852htbWW4JSIiKkMu\nbxAAUGNnwKXSx6WPRERE05wkSdjW3g8AaKhOnaBAVGrGnaKg+NznPjeV10FEREQFsrfDiW3t/VjQ\nWp0w75aoVLGCS0RENM04PUEMuPzq/RND8gLxi05vU3crIypl/CkmIiKaZn75xLv42r1voKvfCwDw\nBcIAAJsl6w92iYoaAy4REdE0c6THDQD47TP7AAC+YAQAYLcYC3ZNRJOJAZeIiGgaEaNRKFsznBiW\nWxOcHnmCgs3MCi6VBwZcIiKiacTjC0PZwtQfFDHo8mPrPnmCgt3KCi6VBwZcIiKiaeTYicTdpt46\nMAAAOHV+PSoYcKlMMOASERFNI519iQH38ZcPAwDWLHYU4nKIpgQDLhER0TTi8csTE1bOl+fdRkS5\nYcGoZySg8sGfZiIiomnEGwu4V7xnXsJxo4GRgMoHf5qJiIimEY9PDrhNdVboBEE9zoBL5YQ/zURE\nRNNEMCziUNcIquwmWEwG1Faa1McMbFGgMsKfZiIiommi3+lHMCxizcIGAMCCthr1MVZwqZzwp5mI\niGiaGHIHAAANNVYAwOKZDLhUnvjTTERENE0MjcgBt67KDABYpA24bFGgMsKfZiIiomliWKngVskV\n3JZ6m/qYgRVcKiP8aSYiIpomlBaF+moLAEAQBFjNBgCAxWQo2HURTTb+NBMREU0DkiSh/bgLep2A\nant8esIdn1qLPqc/4RhRqWPAJSIimgbe2j8A92gIAKDTxeffVtpMqLQx3FJ5YYsCERHRNLC3w1no\nSyDKG1ZwiYiICuC5rccRlYDZTRVYOqduyr9eQ6zv9oI1rVP+tYgKjQGXiIgozwKhCB598ZB6/xc3\nnwubZWp/JQdDIgDgjCWNU/p1iIoBWxSIiIjyrN/pT7g/OOLP8MzJE4gFXE5LoOmAAZeIiCgH/S4/\njvd5JnQOZcMFxWDS/akQCEUAABaTfsq/FlGhMeASERHl4Od/3oVv/3bbhEKu1x9OuD/omvoKbjAs\nV3DNDLg0DTDgEhER5aB7cBQA8MDf9yEciZ7UOUYDkYT7A3mo4I54QxAA2C3GKf9aRIXGgEtERJQD\npQJ6vN+Lz/9080mdYzQgV3A/d+UKAMALb3Xh8ZcPT84FZtDn9KGuygIjt+SlaYA/5URERFmKiFF1\nGgEQ/9g/V75YBddRa1WP/f2Njold3BhGRkNweUNoabBN2dcgKiYMuERERFkaTeqdBYDfPLUHYjS3\nVgV/UA64NrMBes2uYlNl37FhAMDSWbVT/rWIigEDLhERUZb8odSK7Rt7+tDVP5rTeZTKr8mox1c/\nvlo9HpWkiV1gBntiAfeUPGwoQVQMGHCJiIiyFEwTcLNxtNcNjy+k3g8pEw2Meixsq8GyuXLwFMXM\nAdfpCWJbe3/OX1uSJOw95kSF1YiZTRU5v56oFHHaMxERUZZCkfQBN9NxQF5Q9t3fb4fZpMc9XzoP\nABAMRyEIgEEvtycYYm0KETGacRHYDx56C4MjAVR9fDXMJj2q7WbUVprHveb9x11weoI4c2kjdMLU\nt0MQFQMGXCIioixlWlQWDIvoHRqFxxfGopk1CY8pmzoEQyIkSYIgCAiFRZiNegixwGmIhdqwGIUV\n6SmbQew95sRTrx9DfZUF3//kWTAZx55r+8DT+wAAa5c1Z/U9EpUDtigQERFlKRhKv5gsFI7im795\nE3f8cQei0cQ2A5dX05oQm5sbjAVchVEv/zoeq0VB8dTrxwAAQ+4APn3Xy+NuOOHyhtBYa8WqBQ3j\nnpuoXDDgEhERZUnpnf3IefMSjmsru8qMW8XQiD/leaFIFCZj/FewPtaqEBbTB2j3aCjtcQBo73Bm\nfCwcERERo3DUZKoLE5UnBlwiIqIsKQG1vsqCe758Ht6/bg6AePAFUrfhfffIcPz1sUVqwVCmCm4U\nfU4fbr3vDeyLBVdJknDnwzsyXpNrjPDr8cnXYjOzI5GmFwZcIiKiLCktBkaDHmajHrObKgHIi8YU\n2oAbCEWw+6gm4IblPtxASITFFA+d+ljADUeiuPW+Lehz+vGjR3YCAE4M+9A75Eu4jsvPno1PfXAZ\ngMzV3Tf2nMAtv3odAGBlwKVphgGXiIgoS6KoBFy5paDSZgQAjIwG1edoA+7uI8OIaNoOgmERoXAU\nUUlKCJ1qBTepf/fEsE8NsJecOVM9Pq+lCktmy5s2KKE7WceJeG+uxTT2QjSicsOAS0RElCUlrOp1\n8q/Puip5TNcJTYXV64sH3F2HhwAAqxfKC7xCIRG+2C5mVnM8dBpigTmcFFbbO5zqtr7VdjNOW+QA\nAMxrrYYpNnkhkiHgKv28y+fV4bxVM3L7RolKHD+zICIiypJSYVXm19ZUmCEA6NBMMvBqFpkNxhaY\nzW+txs6Dg/AFRXWb3nQVXCXMKnzBiDoX124x4FMfWoZRfxjVdpMatjPN4FX6fa+7ZDEaqrnIjKYX\nVnCJiIiyFImN8VIquAa9DkajDsPueIvCpp3daluB2xeG3WLAjHo7AKBnaDRtwK2wyq0OTq98HrtF\nfswfjGA0FnptFgMMeh2qK8yxaxAgCJlbFJSAq+31JZouGHCJiIiyJEZjLQr6+I5gSvVVMeAKYOOr\nRwHIC8Cq7CbMim2Re6R7BA89dwAA4Ki2qK+ptJkAAMNueTOHKrt83x+MwOuXw7ISghWCIMBk0CMc\niSIciaLfmbgQLaDZDphoumHAJSIiylK8gqsJuJqtdRtiobWzzwNJkjDqD6PCakRtpRl2iwHvHB5C\nR58Hqxc24D2nxvtilfCqVIKrYoH3xR3d6HfKbQ71mkCs/drhSBQ//8sufP2+LRh0aWbuhkTodYLa\nTkE0nTDgEhERZUnpwdVrqrbagPtvly5BU60V/S4/ImIUEgBTbEveWbGRYgCwYn49DJpzKNMYnJ7E\nCi4AvHN4CHqdgLrK1IDr9YfRMziK3bFZu32agDsaCMNiim8HTDSdMOASERFlSVnYpa2KGg3xFgCL\nSY8quwlef1idjau0MChtCgBQG+ujVagtCp5YBdduUnc6C4ZE2K1G6HTjB1VPrPc3IkbR7/Sjqc6W\n2zdIVCYYcImIiLIkpmtR0FRirSYDKqxGSBIwElswpgTVWY3xCq4SaBV2qwEC4i0KJoMO37jmNPXx\nbOfYth+Xdz8bdgcgRiU0M+DSNMWAS0RENI6ufi/+310v490j8lxbQ4YWBYtJr7YbKNVY5fFWh119\nnjkpsOp1OtgsBrVCbDTo0OaoUBeIWTIsFFN2M1PsODCo7pQGcAczmr4YcImIiMbxzJsdCIZFdZey\nTIvMLCYD7BY54LrUgCuHU+U4AJiNqb9+qzVtCy31duh0AmY3y1VfKeXZsjOWNCa0S3j9YfQO+RDk\nBAWa5hhwiYiIxpHcUjBWBVe5/7tn2gFA3XHMotm5LF3wrK2Qv8aC1mqcubQRANAWq/r2Do2mvS6d\nTsA3rz0dNRUmLI1t3bu/06UJuPw1T9MTf/KJiIjGEQgl7jCmreBqw65OJ6gBV0p6XBtq0wXcK8+b\nj3NWtODzH12pTj5obZADrjKeLJ3ZzZW467Prcc17FwEADnS6EAxFM34doumAAZeIiGgcLm8o4X6m\nCi6QuvFDf2x011ivAYC5LVW4/vKlCRs6rFroAABctnb2mNcnCAKa62zQ6wQMuvwIxSq4piwXpxGV\nG3afExERjWNkNASTQYeZjRU43ONOGNmlBFpdrOpqSAqvhjTjvbKdTVtbacavv7IhoWKciSAIsJoN\n8IdE9uDStMeAS0RENAZJkuDyBlFlN+FWzeguhVKNVbbv1VZwz1s1Ax9+z7wJfX2DPvsPW73+MLz+\nMPZ1yOPCMk1fICp3DLhEREQZBEIR/Pejb2PEG8KKefVpN1tQqqvKfxN2NnvfkoTnfvlfViEcGwU2\nlba198Ni0mN+W/WUfy2iYsSAS0RElMEjzx/EkR43ls2pxXWXLE77HFGSF4ApldaxKq7L5tZN/kVm\n8LmPrERV0vQHoumCi8yIiIjSCEei2LyrFwBw8RmzUF9tSfu8dLubFQNlbBjRdMSAS0RElMb+Tqd6\ne9HMzB/1i1G55UDpwQ1FxKm9sDHccPlS6AQB37n+zIJdA1ExYIsCERFRGm/sPgEA+MrVq2AxZf51\nKUYTK7ih8NT32GayfkUL1q9oKdjXJyoWrOASEREl6Rv2YcvePrQ57Fg8zkf9yiYMSu/t0jny8z+4\nfs6UXiMRZcYKLhERkcawO4Bbf70FAPCB9XPV+baZiLGpCHqdHHCbam2475YNaTdzIKL84N8+IiIi\njcdfPqLePm2xY9znX3LmLADAlefG590y3BIVFiu4REREGko43bBqxrjVWwBYNLMG93/t/Kx3JyOi\nqcd/YhIREWko29y+f92crF/DcEtUXBhwiYiIYqKShO4BLwQAldwkgahkMeASERHFvPJ2D7oGRnHG\n0kb20RKVMP7tJSIiitnW3g8A+JcLFhb4SohoIhhwiYiIAOw9Nox9HfLuZbWV5gJfDRFNBAMuERER\ngAef3V/oSyCiScKAS0RE01a/04dwRJ6aIMZ2JCOi0jduwPX7/fjCF76Aa665BldddRVeeumlfFwX\nERHRlOodGsXX79uCB55uBwAYuKiMqGyM+7f5pZdewvLly/HQQw/h7rvvxh133JGP6yIiIppS22ML\nyt7c24eufi9G/WEAwA8/fXYhL4uIJsG4O5lddtll6u3e3l40NTVN6QURERHlgzIxAQBuf2ArAGBh\nWzUaaqyFuiQimiRZb9V79dVX48SJE7j33nvHfF5trQ0Gg37CF1YqHI7KQl8CTSK+n+WF72d5mcz3\nMyJGcWLYl3L8nFWt/LnJI/5Zl5diej+zDriPPvoo9u3bh6985St48sknM25L6HSm/h9GuXI4KjEw\n4Cn0ZdAk4ftZXvh+lpfJfj/7nT5ERAnrljfjgjVt+N6D2wEAK+bU8ucmT/h3tLwU4v0cK1CPG3B3\n796N+vp6tLS0YOnSpRBFEcPDw6ivr5/UiyQiIsoXT6zftspmwrwZVVi/ohl2ixE1FZx/S1QOxg24\n27dvR3d3N775zW9icHAQPp8PtbW1+bg2IiKiKeH1yQG3wmYEANxw+SmFvBwimmTjTlG4+uqrMTw8\njI9//OO48cYbcfvtt0On4ygVIiIqTcGwiCdfOwYAqLAaC3sxRDQlxq3gWiwW3HXXXfm4FiIioin3\n1v5+HO11AwBa6m0FvhoimgosxRIR0bTiC0QAAFedPx8L22oKfDVENBUYcImIaFoJRaIAgNYGe4Gv\nhIimCgMuERGVpH6XH3uODef8ulBYBACYptHMdqLphgGXiIiKnns0hF9t3I3dR4bUY1+/9w3c9ejb\nGA2EczqXUsE1GRlwicpV1hs9EBERFcr9T+7G9vZ+jHiDWD4vcQ67ezQEuyX7aQhqBdfIGg9RueLf\nbiIiKmoRMYo395wAABzudiMYFiFGo+rj7tFQTudTK7gG/gokKlf8201EREXriVeO4MYfbcJobOex\nqCThrv99G8PuoPqckVwDrlrBZYsCUbliwCUioqI07A7gqdePpRw/1DWCr937hno/1wpuMKQsMuOv\nQKJyxb/dRERUlP7x5vGE+zdftTLt89y+7AOuPxjBO4eHUGE1wmrmMhSicsWAS0RERem13SfU2594\n/zKsnN+A//7MupTnuUdDCIQiiEalcc/5h2f3AwCWzK6FIAiTd7FEVFQYcImIKC98gQgGXf6snhuN\nSvAHI1gyqwa3XrMGHz5vPgCgptKc8txjvR585sev4JHnD4573v2dLgDAxy9amMOVE1GpYcAlIqIp\nFxGjuP2BN3H7A1vhC4QREaNjPj8YWwhmNuqxsK0GOp1cbdUJAi4/e3bCc4/3ewEAL+zoGvOcI6Mh\nOD1BrJxfj5qK1KBMROWDAZeIiCbFnmPDODHsS/vY9v39GHYHEQiJuOnuzQmLxNJRA64pddLBFefO\nO6nrO9IzAgCYN6PqpF5PRKWDAZeIiCbsaK8bdz36Nn795J60j7+wPbG66vQE0TM4mvF8yqQDc5pR\nXjpBwGevWIFbr1kDgz7eR5vuucnXCDDgEk0HDLhERDRhfbHK7bETHgwk9dl29ntxuMed8pqX3+7J\neL6xKrgAcNpiBxa21cCoGfVVbTelPG/P0WG88k4PJElC75B8jTMdFeN8N0RU6jgjhYiIJkwJpADw\nh+f240sfWwUAkCQJ//HAVgCAAEA756Cjz5PxfIExKrhaRr0OfsjPtVoSf6WFwiLu+t+3AQA9g6MY\ndgdg0OtQmSYIE1F5YQWXiIgmLBiOLxrbfWRYDbzaam5Lgz3hNd0DXkhS+tFe/mAEAGDJUMFV6PXx\nX2PJC9e2tfertzfv6kG/04/6KjN0HA9GVPYYcImIaMKU7W/tsSqqLyAH1K4Buc/WajbgE5ctUZ/f\nUG3BaCCC7oH0fbh9TjkYO2qsY35d7S5mIU0VGQBe2tkNAcDclkr4gyJGAxHMaqrM4bsiolLFgEvT\nmtcfxm3/8yY2v5O5F5CIxqdUbJU5tb5YBVap4F5/2RK0aiq4F58xEwBw58M74AuEU86nLECbkVT1\nTSZqNncIhqMYcPnh9ATh9ARxpMeNZXPrcPNVp6rPmdnI/lui6YA9uDRt7T/uxJ0P7wQA/PaZdrx3\n3dwCXxFR6QrFWhRqK8zoHhhVWwyUgOuoscJiMuCTHzgFLm8QF58+E90Do3jlnR70DPqwoK064Xy9\nQ6MQBKCp1pbDNYjq+DEl1C5orUalLd5zW8X+W6JpgRVcmra27x9IuP/MG8cKch1E5UCt4MY2UFBa\nFAZcAQBAQ7XcanD2smZcepa8UUOrQ67ODnsCeGlHF3791B5IkoSIGEXXwCgaa20JUxLGUldlVhem\nyV9XDtZNdYkBWa9j/y3RdMAKLk1bx/s8EATgvz65Frf+egvajzmxYWVLoS+LqCSF1BYFuUK6v9OJ\nlfPrMTjih91igM2S+uumNhaGn3jliNpzu2VPH1bOr4c/GMH65c3jft2rL1iAg10j8IciGHYH1ePd\nA/LuZsroMKtZD39QTHsdRFR+WMGlaSkqSejs96K5zoamOhuqK0w40u0q9GURlazkCu4zW44jKkkY\ncAUyLhRT2hKUcKvYdXgIAHDG0sZxv+57z5yFz165ImWc2KbYjF1lJNjt/3YGPrphPlYtaMj2WyKi\nEsaAS9OC0xPEnqPD6mKWAZcfgZCI2bEV1bObKjE4EsDOAwNjnYaIMlAquEpVFgCGRwKIiNGMAbem\nwoz5rZl3FZvfWp3xsWSmDPNylQpuU50Nl62dDYEjwoimBQZcmhZ++ud3cNf/vo27H9sFAOjskz++\nVEYGKb+AO/u9hblAohIXjEQhCEjYROGNPScAAM11mReKnbGkKeNjucyrNaXp1a22m1BhNWZ9DiIq\nHwy4NC0Mxha6DI7IH4U6vXKvXkO1BQBw+mIHACASTT90nojGFgqJMBv1Ca0Ch7rl7XnXLHJkfF1t\nZbzi21xnw+lLxm9LSMfjSxw1Vl9lwbevP/OkzkVEpY8Bl0ra2wcHsXHzkTGfE41K6sgilzeEl3Z0\nIRhbbW0xy7+MDbHdkMSknZCIaGwRMYrBET+CYREmoz6hYtqvTjLIvFmDdi6t2ajH8rl1J3UdybN0\nr3vfYrU9gYimHy4npZL2s8flloP3njETNkv6jyJ9wQi0ddk/PHcAl62VxxRZjPJfAb1e/ihUZAWX\nKCtiNIqt+/rxm6f2qsccNRbUVpoxf0YVDve40e/0wWzSw2LK/KumqdYKu8WA0UAEJqMOZyxpxKu7\nenHp2lk5Xc81lyzGSzu6sWaxA+8eHsKykwzKRFQeGHCpJG1v71f7+wAgEBIzBtzRMXZJMhnlyq1e\nJ/83eS/7YrO9vR+/2rgbn/vICqxemPqx7+GeEcxuqlQr0kRTISJGceOPNqUcV9oTFs2sweEeNyQJ\nqNO0IKQjCAJaHRU40OlCKByF1WzAN649LedranNU4NpLFgMAls1huCWa7vhbkErSrzbuxs6Dg+p9\npQUhHWXgvNaRnhEAgMWktCiURgX3Vxt3AwB+/vi76jExGsXjLx/Gxs1H8P0H38KjLxws1OXRNDHs\nDqQ9riwm02v+gaWMDxtLTYXcSiBGi/sfmERUOhhwqSz4g5l/iaYLuO7YghRz7KNTZXcjUSzegCtJ\nidcWjd3fe8yJv7/RgSdfOwYAeHNvX74vjaYZjz/+qch9t5yn3n7/ujkAgNqKeO/rJWeM32rwwfVz\nMbupEjd+YNnkXSQRTWtsUaCy4A+NUcGNVXc/umE+mmpt+OUT8eqnOdaioHykHynSCtKRHjf6Xb6E\nY/1OP5rrbLjvr3sSjhd5EZrKgDf2D8SrNsyH0aDH+9fNgUEnqGP31q9oQVOdDQtaqzPOp9Wa0WDH\nf3zijCm9ZiKaXhhwqWT4AmHc/sDWtDsRjd2iIP8yrq0wY9XCehj0AiKiBL1OUHsGi72C+70Ht6cc\n+8avt+Ab15ymBniFPxjB3mPDOIV9iDSJjva6sa/DiU07u3H2MnkLXWViwpXnzkt4rsmo588fERUU\nAy6VjMGRAIbdQby4oxsAcP6aVrzV3g+3L4xQOH3lVZIktX3BajZAr9Ohuc6OrgEv7FajuquR0jNY\njIvMxuph/K+H3gIAnL+6FS/t7FaP//ejb+MXN78n48I7omxt3HwEm3f1wukJqseeev0YDHohp53G\niIjyiT24VDLCmvBp0Otw5pJGXH3RQgDpg+m7R4Zww50v4a39/QAAm0X+91yrww4A6ixcQFPBLcLP\n95N3V/vvz6xLec4Fa1rxyQ+cknAsubJLlKuhkQCefO1YQrhVfPg98zCjwV6AqyIiGh8DLpWMSCQe\nYi9bOwuLZ9XCGKu8hiOpAffvrx8DABzukXdTspnlgNtSL6/01lZGi3mKwv7jzoT7tUljl+wWA1oa\n7Dh7WbO6yAdIv7iOKBfKRg3ptDkYbomoeDHgUsmIaPpjla0/jbH958NpKriVSbsYKRXcVQsaUFtp\nxr9evEh9TJmDW4w7me3vdKm3L1s7G4Ig4DMfXq4eW9hWA12s1WJhW/wj49FAJO0MYKJsKePA/v3S\nJQk7lAFAhZW7hBFR8WIPLpUMpQ3h0rWz1NXa6vSDNBXc5F/I1lgFd1ZTJe767PqEx3Q6AToBiBRZ\nBVeMRnGwawS1lWbc+IFTsHhWLQCgvtqiPmfhzHionT8jfnvj5iM42DWCC09rSwjzRNlyj4YAANV2\nE77+r2vwzuFBPPbSYQCA1Tz+dAQiokJhBZdKhhJwa+zxj+jHquAGQomLs8ymsX8h6/U6iGIU0SIK\nuQc6RxAMiVi1oEENtwBgMsT/6rZq+iBtFgMuPK0NAHCwS97M4oW3ulLO6wuE1fCSjahUPH8mlD/K\n3yGLSY8ZDXZcetZsrF4oTzFJbpUhIiomDLhUMpQQa9CEOzXgpqngJn88r3yMn0ljrQ1Hez34vz98\nCU++dhQHNK0BhXK8zwMAWDq7NuG4WTNbNPmjYm2bgiJ5k4gv/uI13PzzV7O6ho4THnz2x6/gsU2H\nsno+lQ+lT91iin/Y99krVuC+W85LOEZEVGwYcKlkRCJySFMWhMm3M1dwtYuszj11xrjnv+D0mert\njZuP4o4/7jjpa50sSgXNbkkME9rh+RU2Y8bHFKFwNCHkKv8gyKZafbDLhWBYxDNbjmd/4VQWlJ8/\n7acfOp0Ao4HtCURU3BhwqWQoLQpGfbYV3Aiq7Cb89PPn4Jr3jt+DeuEZM1OOiQXe2SwQ26HNYk4M\nuHZr/H5F0qxbsyH1r91Rc2cAACAASURBVPVnfvIyfvjwzpTjI1m0KTi98RFR/mAEb+0fSKkIU3lS\nKrjmLHYjIyIqJgy4VDKUgGvQBtwxFpn5AmHYLQZU2kwJr8mkvtqa+jUjhQ1y2h5ILb1Oh3NWtmBO\nc2XKYh9Tml5jSYpPY9BWbX/2513jXoN2BuoXf/4qfvnEu9i8qzf7b4JKVjDDzx8RUbFjExWVDGVM\nmDasGjIsMpMkCb5ABI01qaE1F6GIOO7itKn08ts9AJC23/H6y5amfY15jI+P+4Z9gKYVuSPW4zsW\npzsecEOxf0i8/m4vTl3QgGo7R0WVM+UTBFZwiajUsIJLJSEqSQhF5GqSwRBPaJk2evAHRYhRCXbr\nxLaqTdf6kC/aymkuFTRtBbemIjGA3vrrLbj1vi0Jxw73jIx9Hd7UXawOdI3gq/e8zlaFMjfg8qPS\nZoRON/YCTSKiYsOASyXh53/ehY2bjwIAGjStBEoPbvJWvQOxHZgcadoOcpFu8Vq+aANuLlVkbQ/u\nxy5YMO7zv//gWwhHxLSPRaMSnJ4gZjdXYsmsmoTHwpEoTgz7sr4uKh1vHxrEP7d1YsgdTJitTERU\nKhhwqeiNBsJ45/AQAECvE9BUGw+tep0AAamV1ncODwIAHLUTDLjhwgVcZRepD66fM+6IMy3tVIVF\nbTVZbfLwi7/sTnu8s9+LcCSKWY0V+PSHluP962bDURPfZCKXWbpUGroHR/GzP+/CIy8cBAC8N83i\nSyKiYseAS0VvaCSg3m6stULQhD1BEGA06BIC7pEeNzZuPorqChPOWNJ4Ul9TWbhVyAru7qPDAIBF\nM2vGeWYivU6Hay9ZjAvWtKK20owLT2tLqb62Oez4wkdXqvffPTKU9lyHuuX2hQVt1aiym3DlufPx\npY+tgi021cHr51bA5eaZLR3q7VaHHUuSZjATEZUCBlwqetqP6mc2VqQ8btDr4PIG8equXkSjEvYe\nk4Phxy9alPNuSx85bx5aG+w4f7W8G1gonP6j+6kWDIvYuq8PtZVmLJmVe8A4f3UrrnnvYvUfA0JS\nBXjxrFqcuqBh3PMc7JInLyxqiwfkpjobPn7xQgAMuOVi2B3A3984hj6nD1v29AEAquwmfOva0wt7\nYUREJ4lTFKjoaQPu/7ko9eN2o0EHlzeEB57eh4gYxT+3dwIA5s+oyvlrXX72HFx+9hz87fVjAApX\nwd2xfwCBkIiLTm+blAU++zqcCfeV3c4qrMYxQ+qh7hFU2YxoTGr1qIgt3stmji4Vr50HB/Dc1k51\nhNxb+wcQlSR8dMN8XLZ2doGvjojo5LGCS0XreJ8H+487MRwLuF/9P6vTjqUyahZVbdrZDY9PDmy5\nVm/TnbMQUxS6+r34zd/2AgDOOqV5Sr5Gc50NAPCt604DAJjSbA4hSRJGvCE4aqwpFeDZzVXQCQJ2\nHhyckuujqeMeDeF7D27H/uNOPPPmcTXcAsCxE/LYOI5/I6JSx4BLRUmSJNz58A7c+fBOtZpaW5U+\nsGrn4nYNjAIAHDWWlFCWC1MBA+7tD2xVb9dn+J5zdd37Fifcb6mXA25jrQ2LZ9YgFImmbNsbEaMQ\no1LaEWXVdhNWzKtDxwkPXtzRNSnXSPnxyjs9ONLjxp0P74TLkzoCDgAqbQy4RFTaGHCpKI2MhuAP\nxvtfBQC1FenDnraCG43NZf3QOXMn9PUNBQy4WpM1YH/Dqlbc+emzsWxOLb7/ybNg1GwGoYwg+78/\nfAm7j8YXm/mVXazM6TuZ1q9oAQA89NwBjAbYi1vMjvS48f0/bMeAyw+9puXF6QliZmMFVi1owFLN\nYrJK28TmRxMRFRoDLhWlvqT5qt/75FkwZQh7xjQfr9ssE/sFXcgWBa2JVKGTOWqs+PLVq9FSb084\nrh319eP/fUe9nWmbYIV2kRoXmxW3B57eh8Pdbnzt3jfw2KbD6nExKqGl3obPf3QlLtaMA2uqtRXi\nMomIJg0DLhWlPqc/4X5yKNNKV+W0Zag6ZssUq3CG8hxwla1R82n5vLq0xzti/Zhj/cNiw+pWAEAg\nWJhpEzS+iBjF4Ig/4+NtDnkyyazGCpiNeiyZVQObheuPiai08f/FqCj1ObPfISvdx6lVE1wkE6/g\n5je4DboC4z9pkn34PfPQ3uFSZ94qfv9MOwB50VsmlbFpCv5g/oM5ZedApwuhMTYsWTGvHgBQV2XB\n3Z87h9vyElFZYMClotQ3nLnilKzSGg+z3/7EGfD4w+qUgJNl1BemRWFgjErbVNEJgjr2C5Arfga9\nDi0NNhzuduODY/QzW2OVcqWdgYrPK+/0AABuvupUBMMi7tmYuGuddrZ0LltCExEVM7YoUFHqc/rU\nX7azmyrHfK62gltpM2HZnPQfuefCaJT/ajz52jEE8xjeBgpQwQWQsMDor68eVW/rdULCY8kssR3f\n/AVoraDs9A75YDbqsWJeHc5Y0ogvX70KF53epj7Oii0RlSMGXCpKLk8QdZVm3HfLefhmbFZrJhWa\ngKufpF/WRs3osZ0HByblnNkYdhcm4GoDz95jTvgCEbhHQ6iwGaEbY6FbdWycVPKiQCo8fzCCrfv6\n0NnvRV2VWV2wuGxOHdYvbynw1RERTS0GXCo6kiTBHxRhsxhgNOgT5tymo53ZqddPTsDVhrqjvZ5J\nOWc2tL2sH1g3J29fV0j4ft246e5X4PVHYB9nGsXiWbUw6AVsa++HJEljPpfy67FNh3HvX/cAABpr\nEneic9RYCnFJRER5wx5cKjr/3NaJqCSp/Z3jqbROfgV3RoMdpy9pxPb2fhzpGRn/BZMkGJbbIb51\n3emY0zJ2a8ZU8wcjaK6zjvkcm8WA05c0YsuePrQfd43ZzkD5pSwO/PhFC7FKM9INkMfonb+6FW2O\nzNNJiIhKGSu4VHQeffEQAHkIfTb+f3t3Hhhlea4N/Jp9MpM9JGRPgLBogLAkKiAgiIhiRax1qbZ6\n7KKlru3ndjytVk+1tHrU1lI8KJ+Ka6Wt+lVBwH0BWQOyJIQEEpKQPZmZJLPP+/0xM29mkiGZJJPM\n5J3r9w/zzpZneDKZe+73fu7Hv0QhNL/ScrkMa66ajrz0OFQ3mkZtsZl3sVZGiq7f0oCR8NSa+X2u\nUysHXnS0xNMqbOfhhpCPiYZGEAQ0tHUjLTEGy4pzMC6x7xeVH106FUvmZAd4NBHR2McAlyJKt8+O\nWA2twdV1jkSJgtekzHg4nAJqmkauTMHucImn970L2kK1g9lgJMdr+7RXC2ZVfW6aO9Pc0RXcFxIa\nebXNXeg02zEpKz7cQyEiCgsGuBRRKuuN4uVFszKDekxsTE8pQ6iznhMz3QFCVZ1xgHsOTbfFjtue\n+gxv7KgA4M7gqlXysK1s7/3fd7ZNHvzvI4dMxlZhkaTV4F6smO3TAoyIKJqwBpciRovBjGf+7t4q\n9icrz8H5544P6nGhKksIJM2zZelIZSdLT7QAAD7eV4vZk8fBYnNAqw7f27L3FwTBNfDCMZlMBq1a\nMart1Kh/3sWKw93Rj4horGIGlyLGf7+yV7w8b3r6gN0TRoN30ZrTOTIdAvaV97Qge+qtUjR3WJAS\nrxmRnxWMqxa6N3XwbvxQdSa4zLVWrQzLNsMUWKfZXeoT7EJNIiKp4V8/ighmqwPGbveH8uJZmYMu\nNbjh4slo7wx9llUMcIPIZA6W3eHEd1Vtfte5BAHTcsPXiWDhzEycN208jtW048+bD2HGxOA2zVDI\nZWjusODgiRYU9VqxT6Or22LHmx+7S16YwSWiaBXUX78//vGP2LdvHxwOB2677TYsX758pMdFUcbY\nbRMv//jSqYN+/CUlOaEcjkjhySKPRIBb09gJh7NvdwadNrxBiUatwKyCcfjtLcXISA6ujVSLp+bz\nuc2HsPHBpSM5PBrApm3Hxcsy7lJGRFFqwHPAu3btQkVFBd5++228+OKLeOKJJ0ZjXBRlui3u09vL\nS3L8Nh0It54ShdC3CWtqNwMA8tP9+91GStYtPz0+qC4KALByXh6AntIGCp/ymnbxcg4XmRFRlBow\nwC0pKcFzzz0HAIiPj4fZbIbTycUkFFreADfc2cvevAGuawQyuNv2ngbgDg59N6gYi3WT3188CXqt\nEnE6BrjhJAgCOs0OTMiIw0sPLEG8Tj3wg4iIJGjAT1KFQgGdzr2SfPPmzVi0aBEUirNndZKSdFAG\n0RxeKlJTw7vblFQoPe3Bxo+LDev/ae+fLVO53yJKlTKk4xIEAdUN7t662RkJSE7QotmT0U1PixuT\nv1dJ8VoYOm0RNfZIGstosNgccDhdSEqIQVqa9HrgRtt8RgPOqbRE0nwGnSrasWMHNm/ejI0bN/Z7\nv/b24JrzS0Fqahyam0duA4BoctqzHa7gcIbt/zTQfBq63LXBXWZbSMdls/ecBbFZ7H4ttsL5fzAc\nsVolaps6UX/GAJUy/B0wovH92WZ010KrFTLJvfZonE+p45xKSzjms7+AOqhPoS+//BLr16/Hhg0b\nEBcXOdE5SYe3HVVeemT9fo1UDa7vpghJcRokxrpPJc+clNKnJnesSIrTAgA6RqCbBQXn+OkOAMC4\nBG2YR0JEFF4DZnBNJhP++Mc/4uWXX0ZiYuJojInGiNKKFjz/z+/wu5+ch6xxwa22P5sTtQbotUqM\nT9aFaHShMVJtwrw9Y2dPHofYGBVuuHgyGtvNuHBGRkQtshuMZE//3naTFamJMWEeTXSqbe4CAEyf\nkBLmkRARhdeAAe6HH36I9vZ23HPPPeJ1a9euRWZmcNuoknRt2lYOlyBgy65q/PSKc4N6jMPpgiDA\n7xS2odOKFoMFMyelhHyr3eFSKkK/yOzRjbtxurkTAJAS7860Tc1NwtQw9r8NhaQ4d4DbZrKEeSTS\nYHe48P7XJzF9QnLQvxtdFncvaXazIKJoN2CAe9111+G6664bjbHQGNFmtOCNHRVoN1nF42D9ftM+\nVDeY8NIDS8RMZZVngdmkrITQD3aY5COQwa1p6hQva8dgx4Sz8Qa43t8LGp695U34YGc1PthZjfuu\nn4Vz8gfedKPL041EH2HdSIiIRlv4V4LQmHOgogX7j/dsMVtW0wFBGDgAdPl0DvDd4MC7A1laBJ7W\n9maUQ1WD63T5P4+39lYKkj01uO1GBrihUFXXs03yZ6X1freZrQ4cPNGCV7aWYYen3RwAVHhqcHVa\nZnCJKLrxaz4Nmsln1zGvynojCgbIwJ5p7emwYbW7oPK0kzN5tuiNxB6qMpkMCrksZBncLrNDvFw8\nLQ2LZ0mn1CeRGdyQ8pZ6yACcajD63bZtz2m899VJ8XhZcQ5aDGYYumxQKmQR0cWCiCic+FeQBs0b\nkPoqrWgZ8HGVdQbxsrdNlqHLJn5Qx0VoU3qFQgZHiALcTnPP/92EjDgo5NJ5C8bpVFDIZdh3vBnr\n/vUd7A5uCDMcbSYrVEo5JmTGo81o9asDb+zVjlEQBByrdu9gNmMiF5gREUnn05VGTaAMrrcrQH+q\n6nsCXKsnwD1c1Spel6CP0ABXLg/ZIrMzrV3i5dSEyCvJGA65TCYumttb3uxXa0yD43C6UN1gwvik\nGKQmxsDpElBe0442owU1jSYYOt3vwZmT3MFsQ1u32CJs1YUTwjZuIqJIwRIFGpQWgxl7y5v7XG93\nDFyjWlnfc5rVane6F5t9cAwAMH96OuIjNsCV+dUMD8cpTw3yrIJxmDs1NSTPGUkKJyajaX8dAMDY\n1feLEAVnx95aAMDknERMzUnEt0cbUX66A69+VI7GdjO0agViY1Q475w0HKpsxV/+8R1M3TboNEpk\np8WGefREROHHAJeCVt1gwpOv7wt420ABrtXuRH1zT/bSanPi0wN14nEkZ51iNAp0WwfOUAfDG+D+\n5Ipzxmy/2/7E+bSnClTKQsE5VOku+bnsvFzYPV+u2k1WNHq2c7bYnMhO1WL+9AycajCJAXEkttoj\nIgoHlihQ0LbvPQ2b3f1he0lxjt9tJ+oM/dZcNreb4XuSf295M3YfawIA3HXNzIjeGCBer4apyw5X\nEJ0i+iMIAk6dMSItMQZ6ia5yVyp8+hszgzskVrsTJ+oMyB0fi3GJMWL7tVqfL4gAkBjrvn7ulJ4z\nAVIreyEiGioGuBQ07ynnv/1qMRYWZfjd1mKw4O+fVgZ8nMPpEjNP45PcH8Af73NnnBbOzMCsgnEj\nNeSQiNep4RIEdJntfovEBqvVYEGXxRFx2xGHkm+AyxKFoamo7YDDKeDcPHffW61aiUlZ8Th5xr+T\ngs7T69a3tCdBQm3niIiGgwEuBc3UbYdGpYBGrQh4+8f7avHEa/v86lWb2rvx8z99hk0flQEAZk/2\nrzvtfRyJvAHEV9+dwV3PfYmdhxuG9Dze8oT8DCkHuD2nxwMtRqSBec9sTJ/Ys7HD3dcU9bmftxWY\nN5MLAMtLcvrcj4goGjHApaAZu21ir9rUhBho1QqsOD/X7z4nag0oq2kXj8tqOjyPdWc+vau+ASA7\nNRZFBZHf0ijGs9vY9j3uhvr/+rJqSM9z0tPLND89PjQDi0BKJTO4w1VZZ4BOo8S0vJ7teWNjVHjp\ngSX4z5vmil8wtSr372WMRok7r56Bx249D2pV4C+fRETRhgEuDejLQ/Wobe5Eu8mKcQnuNlAatQLr\nfrUY1y4p6HN/3w0dep/S913hverC/DGx0Mob4HpPv7cYLIOux+22OLBlVw0AIG+8dDO4KtbgBuVQ\nZQtOB2ij5nS50NRuRnqKrs9iMZlMhoLsBNz1/ZnITtXj8nl54m2zp6SyewIRkQ92UaB+1bd04f9+\nWCYeZ6cO/CHq3cQBADZ/5l+Xq/Upb8gdI4FejGfMLQaLeN2hE62YNTn42uFXP+r5P/TWTkqRwqdE\n4UxrNz7cVY3LL8jr5xHR5+QZI5595xDkMhn+9/6L/ALZVoMFTpeA8Um6sz7+nLwkPPaT80djqERE\nYxYzuNSvFoPZ7/j8wvEDPsbbaSEQpUIuZoG9/0Y6bwbX166jg6vDbe6wDHwnKeiV2N78WSWaO8yB\n7xulvvNsbuIShD5nOBra3P9X6cnshkBENBzSTSVRSLSZrH7HEzP61o/+5Z6FcDgFNLV348nX9ou7\nlJ1t96/f3XoenC5hTJQnAP4B7pLZWfjquzNoaOuG3eGCTObeCML7WtqMFnx6oA5XzM+Hxqce0nfx\nlZQ5nH3nvNsSmh7CUlHtWWwIAOU1HSialCLWzja2uct7xiefPYNLREQDY4BL/WozugPc4mlpmD4h\nOWBQ6u3p6s1G2TybPpg92/dmpOj86nIDZUQjWXaqHhq1Ana7C0UF41B+ugPNHRbc9tRnAIDrlxZg\n+XnuxXYvvH8EFbUGqBRyXOmzeYVujL3moXK4+mbvTWbW4vqqaeypvf3bu4fxvfn5WL1oIgCgod39\nPklngEtENCzR8alLQ9Zucp9av2bxRKT1UxcIABqVu+LldKMJ5TXtSI53lyAkx2v9AtyxJi1Jh+fv\nWQhBcJdYbNlVjfqWnqb7b31yQgxwmzz9fttMPSUJXx06gzrP/X97S/Eojnz0OQNkcE1d3NHMq9Ns\nR6vRAo1KIZ7paOowQxAEuARBzOCmJbFEgYhoOFiDS/3yZnC9uyn1x3tKvrLeiLVvHBAzuinxY6PW\ntj8KuVzsotBfKybvIitvoPf/vjmFjR8eExeojZP4TlOBevyGaptjKahudJcnLCvOxt9+tRgAYLY6\nsPmzStz93FeorDMiKU4DrZq5ByKi4WCAS/0yddsRo1FCpRy4v2bvwM+bzfRulNC77dFY5c1UB+J9\njU5P/fG/vujpmatUyP26SEjRpMwEPPHzC/DL1TPE62z9bOEcbU7We3shx0GtkkMuk6HLbMeWb2vQ\nbXXAaneKu/0REdHQMU0Q5VyCAEEQoJDLUdNowjeHG3DNRZPEbKXF5kCMJrigTK30D/waPfWEOo0S\na2+fN+Zqb89GEyCDa7U7oVEpoPD8v3Wa7TB12xCjUcJsdWBSZjyuWzrZbytbqUpP1iE9WYcfXToV\nmz4qh9XGAHf9e4dh7LLhZIMJMgAFWQmQyWTQaZWoqvffgpf1t0REwyf9T1s6K5dLwJ83H8J//u8u\nOF0uPPn6fmzbcxovvH9EvI/F5gz6dKlMJsOiogzx2FtPqNMqkZoYg9gYVWhfQJioA2Rhvzp0Bi0G\ns9gz9/DJNtz9568QG+P+v3voR3NRkJ0wquMMN++GFt5Fh9Fs97EmlNV0wGpzIl6vRoJne12dRtm7\nsxo7KBARhQAD3Ci2u6wRhypb0dxhQV1zl5hp21fejH3lzQA8GdxBnFb/0aVTcf3FkwH09PSUWgcB\n3wzuTcunAABe334cD6zf2acEobnDIp6KjjZqTymH1R69Gdw3th/HH17b53fdpef1bG8d6KwGA1wi\nouGTVuRBg3KoslW8fORkm99tf/3Xd0iJ18LhFAZVN6qQ92zkcPKM+9RrjMR27lLI3cGqTObui/v3\nT07A5nBBEABzgNPx6iDql6XIW5Nti+IAd8e+WvFydmosbl9V6FeC4C3j8ZWayBpcIqLhYgY3Clls\nDry8pQy7jjSK132yv67P/VqN7pX/zrNs2HA28Tq133HWOP0QRhm5fLOxMpkM/+eG2eJxS4Bdu+zO\n6DxF7810W/vZ2U7Kui3+7dGy0/TIHKeHXN7z++Pd9U8hl+GBH87GlQvykZnCDC4R0XAxwI1CH+6q\nxhcH6wEA8zxb73qD2aJJKbja03Teq2Ra2qCeP07fU2v7m5uLkRg7cIuxsWRZcTayU/W4ecU0AO4F\nQ0vmZAEAuiwO5I2Pw4rze05DR+siK++iw2jM4NY2d+LPmw/5Xbe4KLPP/VyC+8vjFfPzMTU3CVct\nnDhmdvgjIopkDHCjkKGzZ2ep4mlpfnWA1y+bjIvnZovHf757IZbMycZg+GZw9RJZWOYrTqfGYz85\nH4t8ApbxPqeVqxtNuHZJAX593axwDC9iaKK0ROF0UyceeWk3jtcaAADxOhWuW1qAqblJfe7r7VAi\ntTp1IqJw41/VKOTNGgFAYX4yfrryHPzln98BcNf/yWUy/PSKc5CWpBtS5wPfmt1o+eCeOzUNO482\norrBhCvm5wEACick446rZ/Qp2YgWcrkMSoU8qkoUmtq78cjG3X7XrZyXj0tKcgLe/4EfzsGOvbW4\naHbf7C4REQ1ddEQf5Md7ynxZcTbUKoVfltVbXzp/ekbAxwbD9xRrsD10x7qUBC0euaUEdocLKp9+\nwHOmpIZxVOGnUcmjaqOH9e8d6XOdUnn2E2W54+Nw68pzRnJIRERRiQFuFOqyuLdOvXZJAQBgYmY8\n5k9Px7zC9JD9DLVKDpvdBYU8uqpgVP0EM9FIrVJETQ2yw+nCqQaTePzr62fhcFWrWOdORESjhwFu\nFOoy26FVK8RdtZQKOX56xbkh/Rn/88sL4XBFz6lpCkytUsBsdYR7GKOiss7gd1yQmYDC/OQwjYaI\nKLoxwI0yhi4b2jut0GtHdvGXTmK9b2loNCo5OkzRkcE1dNn8jjWD6B9NREShxSgkSlhsDjz+yl6c\naXU3ll8wPSXMI6JoIJPJYLU78fr247jxkinhHs6IMnoC3NWLJmLhzKHXsBMR0fCxYDBKnKg19AS3\nM9Jxy+XTwjwiigZdZvdmBx/77OglVcZu92udkp0gud7PRERjDTO4UeKwz1a82amxUbf4i8LDu13v\nQCw2B+paupCo10CllCNeP/Zaq5m63RncuChtC0dEFEkY4EYBY7cNn5X2bMXrXVxGNNIC7clVeqIF\neq0Sk7MTxev+9/2jKD3RIh5vfHDpKIwuNOwOF1yCIJYojMXgnIhIahjgSpggCPj2WCNe3VoOm92F\nxbMyIQgC6wNp9ASIcL1b2PoGsb7B7Vjz2Mt7UNfShYKsBMhlMi6wJCKKAPxLLGH/3lmNf31RJR7f\ncPHkoE8ZE4WCb3wrCALsDum1jqtr6QIANHWYEadTiZulEBFR+PBctYTtOdbkd8zglkZfT7DndAni\nJiO9jdUNMrZ8Wy1eNnbZWH9LRBQhxuanCg3o5Bkjaps7ERujggzAxXOywz0kikK+yUy7w4Uuiz3g\n/TJT9KM0otB659NKv+N4/cj2lyYiouCwREGivLsqXX9xAeZOTYNCztOmNPp8f+tsDpfYNgwAnK6e\nrZwVCv/fT5cgRPypfoezb7lFPDO4REQRgRlciapp7AQA5KTFQaNSsHMChcXcaWniZbvd6VeiYLH1\n7HBmtTkRG6PCjInuDUjGQq1ui8ECAJhXOF68LkbDnAERUSRg1CNBgiDgu5OtiI1RIWvc2Dz1S9Kw\n8oI8TMqKB9A3g2ux9gS43VYHtGoF1Cr3nySrPfK3923wbJySOU6PH6+YCo1KgYtmZ4V5VEREBDDA\nlaSaxk4YOm2YMTEZcpYmUBjJ5TJMzEgA4K3B9c3g9lzutjig16qg9SyE9M3ujgaXIODf35wSS3uC\ncabN3T0hPVmPi2ZlYd2vFiEnLXakhkhERIPAAFeCDla6e4oWFYwL80iIejok2BxOv0Vm698/AsBd\ny2q1O6HTKqGPcS/S8s30joZDJ1rxzy+q8NRbpUHd39RtExeYpafoAACyCK8ZJiKKJgxwJUQQBHR0\nWvHJ/jrIZTJMn5Ac7iERQS0GuP4Z3LpmdwbUe51+kAGu3eGENUSZXu9GE8GWRuw/3gwAUMhlGJ8U\nE5IxEBFR6HBFhESYrQ48snG3uPBlzpRU6LRsWUTh5+2/bLM5Awau3Z6srk6rQqxnF7DOAQJcu8OF\nhzd8C5VSjt//7IJhjc8lCH47qbWbrEiK0/T7mPoWd/3tgzfO4QJOIqIIxL/MEnH0VLsY3GrUCty+\nqjDMIyJyi9O5v2idbu7sE7h+XlonZnK1agViPW222k3Wfp+zutGEFoMFZ1q7Ud1gGtb4DJ02GLts\n4vGDL+yESxD6fUyLwQwASGP2logoIjHADSGLzQFhgA/GkdLgWfBy+6pCPL1mPrNKFDESPdnQd788\niWPV7X63vbK1tFrMpQAAF7hJREFUHOvePQwA0KgUmJKdAJkM2OcpATibes/2uADwu5f3DOt919Hp\nH0zbHS7UNnX2+5gusx0yAHqeJSEiikiMgobJYnPgvnVf49l3DmLN/3yBTw/UhWUcxi53ZiwtKYal\nCRRRknud7o/RBN4yWq2SIyFWg8L8ZFTVG7Hl22o0dZgD3tc3wA10PBgdAbLFR061BbyvIAg4crIN\nrUYrdFolu5QQEUUoBrjD1NDWjVajFYcqWwEA2/acDunztxkt+P2mvTjoUyMYiLHbfYqVOylRpElP\n1mHhzAzxOClOi+fvWYR4vf/vqrdWd15hOgD3NrgPrt/Z5/m27znd53325scVQx6fN4O7dE4WUuK1\nAICjJwMHuKcaTHj67VK0Gi3cHZCIKIIxwB0m32b1QOh3Mtq+9zQq64x4/p/fobapE49s3I195c19\nMlsGz4d0HANcijAymQzXXDRJPFYr5dBplX26D2g8Ae7sKYHb2z37zkG8srUsYDB79FR7n/eE0yVg\n2+6as9bzWu1OWO1OtHe6vxwWT03Dn9bMR3aqHkdOtcPUbevzmGafn5GXHh/weYmIKPwY4A6Tb19P\nAOgM8KE4VK9vO46PdrszVU6XgEc27sbppk789V/f4cH1O1HT6F5c43C6UFbTgRiNQuw5ShRJ1Mqe\nsgRvprb3Qi7vLmZatRLxOv8yG5dLwKHKVnxeWi9elxyv8ds5rLPb/724/dtqvPXJCax797uAY7pv\n3Td4YP1OsUTBWyt8br67vd6n+/uWG5k8P+OqCyfgJyvPOdvLJSKiMGM0NEzeHp43LZ+C7FQ9zNbQ\n7cD08f5av+Pey2iOnnIv2Plodw0AIDlOG7KfTRRKvl+8vIGsy+X/G62UywPeHwC+PFSP3uJ1avz4\n0qm46sIJAPx3RgOAE7UdAIDKOiPajBa/21wuAZ1mO4xdNuwpb4JSIRNbg82f7i6R6L34DICY1Z2c\nk9inxIKIiCIHA1y4F458XlqHTdvK8efNh3CossWvbVB/vBncpDgNtGolLDZnSDopeJ83LSkGj/5H\nCQB3jeD6Xy/GEz939/389EAtjp/uwNffNQAAfnjJlGH/XKKR4LsYS+PJ5rpc/vfx3Z5XIff/0/TK\n1vI+z6lVu59How68vW+lJ8AFgL+9d9jvNt92ZVabE3OmpIolEt5At8Vo6ZNl9j4uLoYLOYmIIhk3\negBwrLrd7wO09EQLlAo5nvj5+RiX0H+fS+9OSlq1ElqNAi5BgM3hEj8sh2pfubtN0uzJ45A7Pg4b\nH1wq3paerEPu+FjUNHbiD6/vBwAUT0vDOXlJw/qZRKPBm8GdMSkF1Y0mLJmdBUEQcP65aeJ9FIqB\nF3AVenbq04oBbk8G12x1oKrOIB737pXb+wvslJxE8bJ3N7XDVW24/anPsLAoE60GC6rqjeLugDot\n/3QSEUUy/pUGArb2cjhdKK/pwLgZ/Qe4Nrs7DaVRKaBVu/87LVbHgAGuxeZARa0BhfnJftmtLw7W\n4+UtZQDcH9yXFOcEfHxaYgxqGnt6dS7yWaVOFMlkMvfv+5UL8jFjYjImZSb0abeVoFfjTKt7t7D/\n+Xtpn+fIStXjsgvyAEB8373472MomZYGlVKBuuYuuAT3/eqau6BSymG1O8X3ZW2Lf5/bBTN63j9y\nWc9YHE7BrxbXu8iM/W+JiCIbSxQAcbEWAJx3ThoevHEOAGDz55W49Q+f4N0vq876WItn73qNSo4Y\nTybJNMA2owDw6tZyPPP3g1j37mGxHMHUbRODWwC4/uLJSI4PXFe7etFEXLkgH99fPBE3XjJFzGYR\nRTpvSz2lQo7J2YkBe8nedmXPTnyHq9wtu8Yn67Di/FwAwMIZGWIg6s3gAkBVvREA0Oqpub1oVhZW\nzsuD2erEF54Fah2dVvzzc/d7ekJGPH5363l9vpDefc3MgGOvbjRBIZeJWWgiIopMUf9X2mZ3oqXD\ngqk5iXjsJ+fh5hXTxF6YBk/7oPe/PnXWhvPeEgWNWoGC7AQAwI69tQHv6+tYjXuB2P7jzdj6bQ0+\n2HkKd//5K/H2uVNTsago86yPz0jR46qFE7FyXj4unpstZsWIItWyudkAgKsWThjwvgmxGjxzxwL/\n63QqzJ+ejowUndjpAHCXF+g87fkqPQFum8kd4CbHa7C8JAdqpRyfHqiDIAhY/+5htBgsuKQ4B7+5\nuRg5abF9fv60s5T7OJwCdFol329ERBEu6gPchrZuCAAyx+mRnRqLGI0SCbF9V0fv2Hs64P70NjGD\nqxA/fL84WI93Pj3R72Izm90l9sz9YGc1/uHJKCXFaXDT8im4fVXhWR9LNBb98JIpWP/rxVji09qr\nPwmxGhRNShGP4/VqZKfG4vc/uwDZPkFpjEaJx396PgBgb1kTOs12bP3W3VkkJV6LOJ0a5+Yno6Gt\nG4YuG1o82V3f3ry9+WZ0f9DrfroQ97omIqLQi+oAt81owaZt7sVlvh+YSoUcF8/J9rvvjr212PxZ\npd91+8oaUe0pb9CoFFDI5Vi9cCIAYMu3Nfjp2k/xl38cQqvBgnuf/wov/vsoHE4XDF02mK0OZI7T\n+T1fbIwKT/9yAZbOye6zipxICtQqxaCyn1de2JPt7a8tl7fzwakGE+567kuxX623xCfD815rbOtG\nt8WBnLTYAXtG37R8CiZlxWNZcQ5+ff0s8XpuhU1EFPmiNhVh6LLh/6z7BgBQMi0NCzy9L71uXD4F\nV8zPw6Ztx9FusuLkGSO2fluDa5cU4LPSOthsTrz1yQkAgFIhEz8siwp6Mk4CgAMVLSitaIEA4JvD\nDfjmcIN4e2F+MirrjOLx9RcXjNCrJRqbfLsVDNR3NjctFjVN/ovH9J7Hj09yB7hn2rphsTmD2nFw\n6ZxsLPV80U3w2SFQzw4KREQRLyr/UjtdLrz84THx+PZVhQGzSgmxGtxx9QyYrQ788pkvAADdFgfe\n3FEBu6OniefPv9fzeJVSgWfuvBD7y5vQ1GHGR7tP99mgAQCWl+TgygUT8P7XpwAAVy+aiPnT2QmB\nyJe3QwIwcID70I/m4snX9mHmpHGYkp0AdYxafF96twX2tgsbbJlBekrP2ZZAi+KIiCiyRGWA+9+v\n7BNLC5aX5Ax4yjRGo8TKeXn4YGc1jp5qg93hglIhh8Ppwr3XFmHGxBS/+yfo1VjiyfxccG46Xt5a\nJn6wTs1JxD0/KBKb0xdPTUV7pxUr5+WF+mUSjXkxPh0SfLOogWhUCjz6H+eJx6mpcWhudr/vxie7\nA9RKT2/cwfaxVSrkuODc8dh1tFFsFUZERJFL8gHu8dMdeG1bOW5aPhVTchLR3GEWg9u1t89DamL/\nfW69CrLcHRL+8YV7MVjJtDTcdcMcmDst/T0Meelx+O3NxaisN+LbI424ZskkvwUsa1bPgCAIXJVN\nFIBvnWx8gMWfwUrQq5GaqEVtcxeAoS0Uu2HZZBi6bGKrMiIiilySDnC/q2rFM38/CAD4w+v7cdGs\nTBROcGdbr7loUtDBLeBuGzQxM17ss2nosiI2RjVggAu4G9sXZCWIQXKg24moL9/3hreOdqjPU1Qw\nTmzhF0wNbm9xOjXuu2H2kMdARESjR7JL9W12J17ttX/9Z6X1OFDh3gI3I2VwH5YalQL/edNcLC9x\n7yx2wbnpAzyCiEIpNmZ43QtmFYwTL3OrXSIiaZPsX/kDFS1oNVqwvCQHqYkxeH37cQDuTgYalQLT\ncgM3cu+PXC7D9RdPxpUL8oeUASKiwbv/htkBe1AP1pScRMRoFDBbnexlS0QkcZLN4J484y4lKJ6a\nhovnZuOxW3sWn1y1cMKwAlSdVsWyAqJRMi0vyW/nsqFSKuTiglB+QSUikragAtzjx49j2bJleO21\n10Z6PCHTZXE3eo/Xu09rZqfF4qblU7CoKBOXFOeEc2hEFCaXFOdgUmY8JmcHrocnIiJpGDCN0d3d\njccffxzz5s0bjfGETLfFAQDQ+9TtLe21OxkRRZdJWQl4+MfF4R4GERGNsAEDXLVajQ0bNmDDhg2j\nMZ4haWjrxlNvHcD3F01CbXMnvjx0Bp1mdwaXpyKJiIiIosuA0Z9SqYRSGXyQmJSkg1KpGPiOIfTR\nvlq0Ga3Y8O+jfW4bnxY/oj87NTVuRJ+fRhfnU1o4n9LC+ZQezqm0RNJ8hjy92d7eHeqnHJDgs22u\n14yJKZg5KUXcyWgk+O6URGMf51NaOJ/SwvmUHs6ptIRjPvsLqCVx/v7S83KwrDgbTqeAp946gOJp\nabj0PO42RERERBSNJBHgymQyKBUyKBXgAhIiIiKiKDdggHv48GGsXbsWdXV1UCqV+Oijj/CXv/wF\niYmJozE+IiIiIqJBGTDAnT59OjZt2jQaYyEiIiIiGjbJ7mRGRERERNGJAS4RERERSQoDXCIiIiKS\nFAa4RERERCQpDHCJiIiISFIY4BIRERGRpDDAJSIiIiJJYYBLRERERJLCAJeIiIiIJIUBLhERERFJ\nCgNcIiIiIpIUBrhEREREJCkMcImIiIhIUhjgEhEREZGkyARBEMI9CCIiIiKiUGEGl4iIiIgkhQEu\nEREREUkKA1wiIiIikhQGuEREREQkKQxwiYiIiEhSGOASERERkaQwwCUiIiIiSWGAO4DGxkYAgMvl\nCvNIiCgQtvImIqLeGOCehclkwjPPPIMf/OAHaGhogFzO/6qxzGg04vnnn8fXX3+N9vZ2AAyMxjKD\nwYCXXnoJVVVV6O7uBsD5HOsMBgNeeOEFHDlyBCaTCQDndCwzGo04depUuIdBIWIwGPDss8/i448/\nRmtrK4DIf38yagvg7bffxi9+8QsAwLXXXgu5XB7xE0lnt2PHDqxZswZmsxnffPMN1q5dCwCQyWRh\nHhkNxc6dO7FmzRq0tLRg69atnE8J2LNnD+644w60tLTggw8+wCOPPAKAczpWOZ1O3HrrrXjhhRdQ\nV1cX7uHQMO3fvx933nknBEHAvn37cN999wGI/PcnA9xeTpw4gaamJvzpT3/Cvffei0OHDsFms0X8\nRFJfTqcTAFBfX49Vq1bhvvvuw+rVq5Gbmyveh19cxg7vfDY2NqKkpAQPPPAA1qxZg71792Lbtm0A\nWEo0VrW3t6OwsBAPP/ww7r//fpSXl2PLli0A+B4di+rr66FWq6FUKnH06FHYbLZwD4mGoba2FlOm\nTMG9996L+++/HxaLBcePHw/3sAbEABfA8ePH8cQTT2DTpk3IycnBnXfeiYyMDADArFmzUFlZGeYR\n0mAcP34cTz75JF577TVYrVa0tbWhtrYW27dvx3/913/hyJEjeOeddwBE/jdQ6pnPTZs2wWq1oqur\nC7GxsThz5gwAoLi4GC+88AIAsJRojKipqcF7770nHnd1dSExMREGgwEAcO+992LdunUA+B4dC3rP\np16vx5NPPom5c+di165dOH36dBhHR4PVez4TEhKwevVqAO4EQ1ZWFjIzM8M1vKBF7aeBNytw8uRJ\nPPbYYzjnnHNQVlaGtWvXoqKiAgDgcDhgMBig1+sBMDsUyXrP57Rp01BWVoa//e1vKCoqwsKFC/H0\n009jxYoVuP/++7F161YxKOK8Rp5A81leXo5169ZBr9ejubkZ69atw9NPP420tDTo9Xq88sorfo+l\nyOI7L0899RQ2bdqEb775BgCQnZ2NI0eOoKOjAwCwbNkypKWl8T0awQLN586dOwG4A9y8vDxceuml\nsFqt2Ldvn/jlxXsmhiJLf+/PhQsXorCwEADQ2dnJGtxIZ7fbAQCVlZVITk7G6tWr8dBDDyEuLg5f\nfvklmpqaoFQqkZWVJX5wMjsUuQLN58MPPwxBEFBZWYm0tDQsXboUV155JfLy8vCrX/0KX331FWw2\nG+c1Ap1tPgF3tm/lypWYP38+4uLicMcdd+DOO+9EfX09XC4XM34RyjunJ0+ehFKpxFVXXYX33nsP\ngiCgpKQEiYmJ+OCDD2A0GgEAt912G8rKyuBwOPgejUCB5vPdd9+FIAjQaDRwOp2IiYnB0qVLUVpa\nysW9Ea6/96dcLofD4QAAHDx4EHl5eYiNjYVMJoPVag3nsPulePTRRx8N9yBG065du7B27VocOHAA\ncXFxmDx5Mj799FNMmzYN6enpkMvlOHLkCDQaDfLz81FQUIDt27cjMzMT6enpEASBH6ARJJj5rKio\ngMFgQGlpKSZMmIDMzEzs378fKpUKF154YbhfAvkYaD5lMhkOHjyIrKwsLFmyBFOmTIFGo8GWLVsw\nbtw4FBUVhfslUC/eOS0tLYVer0dhYSGmTp2KgoICHDhwAM3NzZg+fTry8vKwZcsW2Gw2FBYWYteu\nXdDr9SgpKQn3SyAfA81nW1sbzj33XLhcLsjlckyYMAFHjx7F559/jg0bNkCj0WDatGnhfhnkEex8\nAu5yoU8++QTLli2DyWTCXXfdBZlMJmZ3I01UBbhNTU145JFHcPPNNyMlJQUff/wxamtrxdPZc+fO\nRXZ2NkpLS2GxWFBUVITu7m7U1taira0Ns2fPZnAbQYKdzz179iAjIwPp6en4+uuv8eabb+Lw4cNY\ntWoVsrOzw/0yyCPY+Tx48CDMZjMyMjLw6quv4tlnn0VtbS2uvPJKsXaeIoPvnCYnJ2PHjh1ob2/H\n/PnzoVQqIZfLsWPHDsyePRu5ublISEjAkSNH8OKLL+LYsWNYtWoVsrKywv0yyCOY+dy2bRvmzJmD\n+Ph4AO5SvxdffBG1tbX45S9/iRUrVoT5VZDXYOYzLi4OAPDRRx9h/fr1qKiowC233ILLL788zK/i\n7CQf4DqdTvz1r39FRUUFqqqqkJubi6uvvhp5eXlISkrCG2+8gcLCQjQ2NkKhUCA7Oxt2ux2vv/46\nrrnmGmi1WuTm5mLhwoXhfimEoc/nK6+8gt/+9rcoLi5Gamoq7rrrLga3EWCo8/nGG2/gxz/+MS64\n4AJkZGTg7rvvZnAbIfqb08TERGzcuBFLly5FfHw8NBoNTp8+jfr6esyaNQuCIGDFihXIz8/H7bff\nzuA2AgxlPhsbG1FUVIRTp06hrKwMmZmZePTRR5Gfnx/ulxP1hjKfDQ0NKCoqQlVVFerq6rBkyRLc\nf//9ET+fki5samxsxD333AOTyQSNRoPHH38c77//PsxmMzQaDYqKilBSUoL9+/djxowZeP7552G3\n29HR0YE5c+aItSX84IwMQ51Po9GIGTNmwGKxIC4uDosXLw73SyEM7/05a9YsWCwWAMCCBQvC/ErI\na6A5nTt3LmbMmIGXXnoJAJCVlYXLLrsM77zzDlauXInS0lIAYKlJhBjqfL711lu4/PLLUVZWhvPP\nPx9XX311mF8JAUOfz7fffhuXXXYZqqqq8LOf/QzXXHNNmF9JcCSdwfW2hnrmmWdQWFiI6upq7N27\nF62trViyZAkAd/uLgwcP4sYbb0R9fT3ef/997Nq1C7/4xS+QlpYW5ldAvjif0sL5lJ6B5lQQBKSk\npGDnzp2YOXMmuru78Zvf/Abp6el46KGHeKYswgx3PhcsWMAFghFkuPM5b948KBSKcL+MoCnDPYCR\nlJKSgjVr1sDlcsHlciE3NxcbNmzAAw88gMOHD2P69OmIjY2FUqmETqfD3Xffja6uLrF2iCIL51Na\nOJ/SE+ycarVapKSkwGQy4eabb8Yll1wS7qFTAJxPaYm2+ZR0Blev1yMnJwcymQwulwvPP/88brnl\nFsTGxuLNN99EWloa9u7di6qqKixduhQajQYajSbcw6az4HxKC+dTeoKd08rKSrHOb9KkSeEeNp0F\n51Naom0+JZ3B9eXdVi4hIQE33XQTYmJisGvXLjQ3N+PRRx+FTqcL8whpMDif0sL5lJ6B5tS7gQ6N\nDZxPaYmG+YyaALexsRErV64U22LMnDkT99xzD9t+jVGcT2nhfEoP51RaOJ/SEg3zGTUBbkdHB554\n4gns2LEDq1evxve+971wD4mGgfMpLZxP6eGcSgvnU1qiYT5lQpTsm7d7924cPXoUP/zhD6FWq8M9\nHBomzqe0cD6lh3MqLZxPaYmG+YyaAJdb7EoL51NaOJ/SwzmVFs6ntETDfEZNgEtERERE0YEdmImI\niIhIUhjgEhEREZGkMMAlIiIiIklhgEtEREREksIAl4iIiIgkhQEuEREREUnK/wdv8wVtKogBNAAA\nAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 864x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "oGAoNveB79v0",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1105
        },
        "outputId": "ed165e45-753a-41bb-d4cb-92bcd9bf02f9"
      },
      "cell_type": "code",
      "source": [
        "# Resample the cumulative daily return to cumulative monthly return \n",
        "cum_monthly_return = cum_daily_return.resample(\"M\").mean()\n",
        "\n",
        "# Print the `cum_monthly_return`\n",
        "print(cum_monthly_return)"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "            Adj Close\n",
            "2006-10-31   1.031710\n",
            "2006-11-30   1.140058\n",
            "2006-12-31   1.155110\n",
            "2007-01-31   1.187303\n",
            "2007-02-28   1.145176\n",
            "2007-03-31   1.210302\n",
            "2007-04-30   1.251737\n",
            "2007-05-31   1.453453\n",
            "2007-06-30   1.625638\n",
            "2007-07-31   1.818073\n",
            "2007-08-31   1.734484\n",
            "2007-09-30   1.897943\n",
            "2007-10-31   2.295090\n",
            "2007-11-30   2.333130\n",
            "2007-12-31   2.544817\n",
            "2008-01-31   2.142374\n",
            "2008-02-29   1.671828\n",
            "2008-03-31   1.747569\n",
            "2008-04-30   2.113108\n",
            "2008-05-31   2.468068\n",
            "2008-06-30   2.384260\n",
            "2008-07-31   2.240832\n",
            "2008-08-31   2.285193\n",
            "2008-09-30   1.886767\n",
            "2008-10-31   1.322521\n",
            "2008-11-30   1.254883\n",
            "2008-12-31   1.222865\n",
            "2009-01-31   1.185880\n",
            "2009-02-28   1.256669\n",
            "2009-03-31   1.302498\n",
            "...               ...\n",
            "2009-07-31   1.994633\n",
            "2009-08-31   2.221219\n",
            "2009-09-30   2.374922\n",
            "2009-10-31   2.575893\n",
            "2009-11-30   2.675929\n",
            "2009-12-31   2.657688\n",
            "2010-01-31   2.774716\n",
            "2010-02-28   2.655568\n",
            "2010-03-31   2.984383\n",
            "2010-04-30   3.354910\n",
            "2010-05-31   3.359090\n",
            "2010-06-30   3.488451\n",
            "2010-07-31   3.405691\n",
            "2010-08-31   3.357243\n",
            "2010-09-30   3.658175\n",
            "2010-10-31   4.019961\n",
            "2010-11-30   4.162278\n",
            "2010-12-31   4.294495\n",
            "2011-01-31   4.520171\n",
            "2011-02-28   4.691192\n",
            "2011-03-31   4.641877\n",
            "2011-04-30   4.547362\n",
            "2011-05-31   4.565653\n",
            "2011-06-30   4.422674\n",
            "2011-07-31   4.972456\n",
            "2011-08-31   5.032897\n",
            "2011-09-30   5.243032\n",
            "2011-10-31   5.306305\n",
            "2011-11-30   5.140466\n",
            "2011-12-31   5.248871\n",
            "\n",
            "[63 rows x 1 columns]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "WWAgrGgc8BTD",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 235
        },
        "outputId": "3b901c7d-d4bb-44be-a860-7c5d5117f7bd"
      },
      "cell_type": "code",
      "source": [
        "from pandas_datareader import data as pdr\n",
        "import fix_yahoo_finance\n",
        "\n",
        "def get(tickers, startdate, enddate):\n",
        "    def data(ticker):\n",
        "        return (pdr.get_data_yahoo(ticker, start=startdate, end=enddate))\n",
        "    datas = map (data, tickers)\n",
        "    return(pd.concat(datas, keys=tickers, names=['Ticker', 'Date']))\n",
        "\n",
        "tickers = ['AAPL', 'MSFT', 'IBM', 'GOOG']\n",
        "all_data = get(tickers, datetime.datetime(2006, 10, 1), datetime.datetime(2012, 1, 1))\n",
        "all_data.head()"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th>High</th>\n",
              "      <th>Low</th>\n",
              "      <th>Open</th>\n",
              "      <th>Close</th>\n",
              "      <th>Volume</th>\n",
              "      <th>Adj Close</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Ticker</th>\n",
              "      <th>Date</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th rowspan=\"5\" valign=\"top\">AAPL</th>\n",
              "      <th>2006-10-02</th>\n",
              "      <td>10.838572</td>\n",
              "      <td>10.614285</td>\n",
              "      <td>10.728572</td>\n",
              "      <td>10.694285</td>\n",
              "      <td>178159800.0</td>\n",
              "      <td>7.130981</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-03</th>\n",
              "      <td>10.707143</td>\n",
              "      <td>10.455714</td>\n",
              "      <td>10.635715</td>\n",
              "      <td>10.582857</td>\n",
              "      <td>197677200.0</td>\n",
              "      <td>7.056683</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-04</th>\n",
              "      <td>10.780000</td>\n",
              "      <td>10.451428</td>\n",
              "      <td>10.585714</td>\n",
              "      <td>10.768572</td>\n",
              "      <td>207270700.0</td>\n",
              "      <td>7.180516</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-05</th>\n",
              "      <td>10.880000</td>\n",
              "      <td>10.590000</td>\n",
              "      <td>10.647142</td>\n",
              "      <td>10.690000</td>\n",
              "      <td>170970800.0</td>\n",
              "      <td>7.128126</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2006-10-06</th>\n",
              "      <td>10.720000</td>\n",
              "      <td>10.544286</td>\n",
              "      <td>10.631429</td>\n",
              "      <td>10.602858</td>\n",
              "      <td>116739700.0</td>\n",
              "      <td>7.070017</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                        High        Low       Open      Close       Volume  \\\n",
              "Ticker Date                                                                  \n",
              "AAPL   2006-10-02  10.838572  10.614285  10.728572  10.694285  178159800.0   \n",
              "       2006-10-03  10.707143  10.455714  10.635715  10.582857  197677200.0   \n",
              "       2006-10-04  10.780000  10.451428  10.585714  10.768572  207270700.0   \n",
              "       2006-10-05  10.880000  10.590000  10.647142  10.690000  170970800.0   \n",
              "       2006-10-06  10.720000  10.544286  10.631429  10.602858  116739700.0   \n",
              "\n",
              "                   Adj Close  \n",
              "Ticker Date                   \n",
              "AAPL   2006-10-02   7.130981  \n",
              "       2006-10-03   7.056683  \n",
              "       2006-10-04   7.180516  \n",
              "       2006-10-05   7.128126  \n",
              "       2006-10-06   7.070017  "
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        }
      ]
    },
    {
      "metadata": {
        "id": "PVhRPEOb8FyT",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "#all_data = pd.read_csv(\"https://s3.amazonaws.com/assets.datacamp.com/blog_assets/all_stock_data.csv\", index_col= [0,1], header=0, parse_dates=[1])"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "k8tmyMvn8Iri",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 498
        },
        "outputId": "8548d2ba-84bb-4ee1-8f3a-b9ddc6a67eb7"
      },
      "cell_type": "code",
      "source": [
        "daily_close_px = all_data[['Adj Close']].reset_index().pivot('Date', 'Ticker', 'Adj Close')\n",
        "\n",
        "# Calculate the daily percentage change for `daily_close_px`\n",
        "daily_pct_change = daily_close_px.pct_change()\n",
        "\n",
        "# Plot the distributions\n",
        "daily_pct_change.hist(bins=50, sharex=True, figsize=(12,8))\n",
        "\n",
        "# Show the resulting plot\n",
        "plt.show()"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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0ICUBAADdSbtluLGxUatXr1ZKSop3209/+lPNnDlTkyZN0u7du1VUVKT8/HzFxMSouLg4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\n",
            "text/plain": [
              "<Figure size 864x576 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "bqW6qZnl8Lji",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 724
        },
        "outputId": "a3fb8373-563d-4ed6-e362-a0c6a736106a"
      },
      "cell_type": "code",
      "source": [
        "# Plot a scatter matrix with the `daily_pct_change` data \n",
        "pd.plotting.scatter_matrix(daily_pct_change, diagonal='kde', alpha=0.1,figsize=(12,12))\n",
        "\n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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aGd/r9sfgZW2YRcO+vhzvoHnkoNDcuDJembAtZXyX3iqJi4XpJWUhbtSsj+5s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ixmWmJaK8ugPPz77ixTt3ZejuZ8IhdEe/Aw9rXWOMZ1R9XaGGQHWJjuq8L9I6VQgvCI4Px2M7jf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RRKR1tUEQRlFmcsbs+qeL4Zd2yo/yJZaejDEWnZvRwthl+ETlqmDoepz7rAqbv4tzR9snqe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\njAQWgiAIgiAIgiCcMP8/LuzdJWtMQ1QAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 864x864 with 16 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "I11KiSN-8SBq",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "### Moving Windows"
      ]
    },
    {
      "metadata": {
        "id": "UpN6cQP58QkK",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 204
        },
        "outputId": "e45136c7-dcae-4d5f-d11f-eb841063d89e"
      },
      "cell_type": "code",
      "source": [
        "# Isolate the adjusted closing prices \n",
        "adj_close_px = aapl['Adj Close']\n",
        "\n",
        "# Calculate the moving average\n",
        "moving_avg = adj_close_px.rolling(window=40).mean()\n",
        "\n",
        "# Inspect the result\n",
        "moving_avg[-10:]"
      ],
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2011-12-16    55.529679\n",
              "2011-12-19    55.491607\n",
              "2011-12-20    55.456536\n",
              "2011-12-21    55.451822\n",
              "2011-12-22    55.444500\n",
              "2011-12-23    55.439643\n",
              "2011-12-27    55.445286\n",
              "2011-12-28    55.437643\n",
              "2011-12-29    55.468393\n",
              "2011-12-30    55.495500\n",
              "Name: Adj Close, dtype: float64"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 23
        }
      ]
    },
    {
      "metadata": {
        "id": "-NN9I3h18YfR",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 327
        },
        "outputId": "001f9c5e-def5-4af6-e1b6-bd92c769c057"
      },
      "cell_type": "code",
      "source": [
        "# Short moving window rolling mean\n",
        "aapl['42'] = adj_close_px.rolling(window=40).mean()\n",
        "\n",
        "# Long moving window rolling mean\n",
        "aapl['252'] = adj_close_px.rolling(window=252).mean()\n",
        "\n",
        "# Plot the adjusted closing price, the short and long windows of rolling means\n",
        "aapl[['Adj Close', '42', '252']].plot()\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AEHfDjZh6HTvv9MlCer5CCNHN+BSFnIJK7JGWoIL1ANPO6sXGvK2E6K1c3v9i\nBvaKwGys64cp9RInRdpM6HVaBvf2P5PNqpklbTLU7a/VNhwyru0Z1862ntH/QqK1iegiHGSEfcu2\ngp1EmSO5IHVqs9+leMW3ZL38AqgqSX+6n9BTWz45qyuTnq8QQnQzv+zwVymymgyYTXXB94GZIyjV\np1PmLmd84hh02oaZBzfurUsXbKwJ3LGR1sAyJQgedm7MlFHJLFuXgdPlRVVVbMZQMn8dhj7JgtXm\n4aoxZ3JG/EgM2qZDkCs7i4JPF6K1WEi4/S5ChjbfSz5ZSM9XCCG6GUeJE/Ans6jfqzWHeJm3az46\njY7xiWe2+Hy1RRgC5zkq+J47OjjrVUyYf6h664FCbn5mJVmOClLiw/FmDeChiTcyLvGMZgOvt6yM\njKf/hepyYb96FiHDhre4vScD6fkKIUQ3U1jqzzZ19ojEoPq5awtW41Y8XDnwElLCWv7ctE9CcPAN\ntQant7pm6gBmTh3Ah9/u8yfuOGoo+tHZ6wKv46KszV5PcbnIe38uSlUl0TMuI3xC98uiKD1fIYTo\nZhwlTrRaDVFhpkAvVRd7hFU5awg32hifMOaYxybZ/dmnxg+Lr9sWExI0EcseYQk6RqPRoNVo+N35\ng7h4XCoAl0xovEJRY5mvjpb33lwqt2zG1Ks3URd07epErSU9XyGE6GYcpdXYIyzotFr/sLPGhyHx\nIEatgT+MuAWDznDMYx+aNYq0rNKg5UdarYbbpw/lP0t2+N+3IIBamnkufCwFixdSvu5XTCmp9PrL\nw2j03TNMSc9XCCG6kbIqN6UVbuJr1ucaDGAcuAmN0cXEpLEkhSY0eXyoxRAUeGvVFkOYPKJlOZTN\npoZBMzzE2HTbf/2Foq+Woo+KIv7m29CazU3ufzLrnv+kEEKIHiaroJJ/zdtAtcv/jDe+tnhB7jp0\n4YXEm5JbtLTnWOKirLx0zwRCLcfuNdcXaWu4/vfOGceerVz604/kvT8XjV5P8n0PYEw4uQolHC/p\n+QohRDfw0Yp9gcALEBZiZGPeVj7Z95l/uPn067AaLE2coXlhIcZG1/U2ZmifKB6+dlTQtgHJ4Y3u\nW30gjfz5H6E1m0n8433dPvCCBF8hhDipebwKP2zOIiM/uIB8iNnA+rzNANx52k1EmTu2AIFWo2kQ\nbBvL4ewtKSbzhedQXU5iZ11HyClDO6qJnUqGnYUQ4iS17UABL32yLfDeHmHm4WtPZ8XGDM4bm8zi\npfuJt8YyMLJfE2dpP80VTPBVV5M7+7/+tbyzfkfYuPEd1LLOJz1fIYTo4sqq3BxppDJR/cALcPNF\npxBpM3Hl5P4sP7gSj+LhVHv7DSF6AAAgAElEQVTn9iRr80CfNTSuwWeO+R9StXsnloGDiJh8Tkc3\nrVNJz1cIIboQp9vLq4u2c/aIRMYMiWPl5izmLdsLwB8uHc7pg/xVimq3gT+wzTp3IKEWA06vk2VH\nVrL8yEoiTRFMTu7c3mRchIX0/ArKqzxB24u+/oqyVT9jTEom+c9/QaPtWX3BnvVthRCii/t5aw67\njxTz5mc7Afhoxf7AZ69/uh2AfRklrNycBUCIWc9NFw4h1GJAVVVm7/iA5UdWEm6ycc+IWwg3hTW8\nSAeqXfKUW1gFgKqqlK76iYJFC9DZwoi/8eZuu5a3KRJ8hRCiC9mX4S9gULtUZ8SAujW3RoOWKqeH\npz/YFNj26p8moddpqfBU8u+Nr7OraC8DIvrywrTHiAuJ7djGNyIlzgaAVguKx0PBok/Ie3cOGoOB\n5AcewpzaeCas7q7n/XNDCCG6sLxifw8xKca/Ttflrls+lBpn4/Oamrr1HSw9zLzdC8ivKmBI1ECu\nHXwFNlMoTho+J+5o547uRVG5i0n9bKQ/+Tju7Gz0kVEk3nMvpqSkzm5ep5HgK4QQXYp/hrDXpwBQ\n5fSg02rQajW4vQrL12fU21fl9S2z2VXkf/47LuEMrhl8OVpN1xnU1DqrmKYcoPDfn6K63djGnEnM\nZVdgiLF3dtM6lQRfIYToQtSaYvZ70ktQVZUqlxerWY+iqHi8StC+urh0dhXtJcYSzVUDZzA0elBn\nNLlRqqJQtvpnHAsXoFRWorWGEDXtIqIu+m2Pm1zVGAm+QgjRhdT2eAG+WH2YSqcXq0mP26tQWukO\nfBaRWIIreTdmnYn7Rt1BhKnx7FGdwVdZSf4H8yhf9ysavd5fFnDiJPThEZ3dtC5Dgq8QQnQhXp8a\neL1k1SEAosPCUJ0eistdgc+i+2eT7YQ7Tr2xywReVVWp3rOb3Pfm4C0owJTah4Tb7sQY2/kTv7oa\nCb5CCNGFeBWlwTarWU+fBBvfF/uXF2nD88l2pjMwsj8DIvt2dBMbpSoKhZ99StGXXwAQcc5UYi67\nAq35xPJJd1cy8C6EEF2I16uQZA/h8d+fEdhmNek5Z1Sy/43BiW3ITgxaPRf1Oa+TWhlM9XrJfOE5\nir78An10NMn3P4j9mt9J4G2C9HyFEKIL8Soqeq2W3nGhgW0hFgMWkx70LkwDNuNWXFw98FL6R3T+\nGll3Xh7Zr7+MOzsb65ChxP3+RgzRDesBi2ASfIUQogvx+RT0Ok1QUYK+CWHoDQrG/lvRhpYyPHoo\nE5LO7MRW+lXu2kneu3PwFhUSOvoM4m+8Ba2pYR1f0ZAEXyGE6CIqqj14fSohRxWsH9Y3inl7P0AX\nVoSv2M6tk6/r9LW8lTu2kf2f11DdbqKnzyB6+oxObc/JRoKvEEJ0EY6SagBiI/3PSn8/bTBFZU50\nRg+7Cvei94RhyR+DrhPXyapeL8XfLqdg0QIAEu78A7bTz2jmKHE0Cb5CCNFFFJQ6AbCH+4PvpNMS\nAViXuwkVlQsHjee88yd1WvtcWVlkv/EqntxcdLYwEm6/E+vgIZ3WnpOZBF8hhOgiCmp6vjHh5sA2\nVVVZl+svpDAsZjDaZgrUt5fy9evIeedNUBRsY84kevoMjPEJndKW7kCCrxBCdBFH8vyFEKLrBd89\nRfvZXbSPgRH9SAyJ75R25X/8ASUrvkVjMhN/w42EnjEmaEKYOH4SfIUQogvIclSwbnc+CdFWkuwh\nge17i9MA+E3qOR0e8FSvl7z/vU/Zqp8wxMURf9OtWPr179A2dFcSfIUQopNUVHt4ccFWzhudjMmo\nA2DiqYlBE6oOlB5Gg4bUsN4d2jZVVSn4dKE/8NpjSb7vgR5fiagtSYYrIYToJIdzyjiUU8bbX+wi\nr8j/vNdqrusTeRQv6eWZJIcmYNZ37PpZx0f/o3jZN+hjYuj92BMSeNuY9HyFEKKTlFXVVSlatj4d\n8KeSrLX8yEq8ipcBkf06rE2qqlKyYjkl33+HIT6epHvuQ2eRNJFtTXq+QgjRSfKLqwOvSyv8gTg5\nti6t5OqstYQYrExLndphbSpf8wuO+R+hMZn9FYni4jrs2j2JBF8hhOgkWQWVQe8TY0KIj7ICUOIq\npdRdRt/wVKwGa4e0p2zNanLfm4PGZCbl0X9g7p3SIdftiST4CiFEJ6mo8gS9N+jrfpKPlGUCkGLr\n1SFt8Tgc5H8wD43eQOJdd2OM75xlTT1Fi4Kv0+nk3HPPZfHixeTk5HDdddcxa9Ys7r33Xtxud/Mn\nEEII0UBxhQuLSUftCqL6wTe9LAOAlLDkdm+Ht7SU9H/9H4rTif2qqwkZOqzdr9nTtSj4vvHGG4SH\nhwPwyiuvMGvWLD788ENSUlJYuHBhuzZQCCG6o9JKN/nF1aTE2YgO8yfV0Gv9UdijeFmXtxm9Rkdq\nWPv2fP1LihbhKy8n8oILCZ80uV2vJ/yaDb4HDhwgLS2NyZMnA7B27VqmTvU//J8yZQpr1qxp1wYK\nIUR3VFiTx7l3nI3UhDAA8momYO0u3EuRs5gJSWe1+/PeoqWf+9fyxsYRM+MyyVzVQZoNvs888wwP\nP/xw4H11dTVGoxGA6OhoHA5H+7VOCCG6qaIyf/CNCjPTtyb4Fpe7AMisyAZgSNTAdm1D2S+rKfpq\nKbrwcJLvewCNXlafdpQm7/SSJUsYMWIEvXo1PuyhqmqLLhIZaUWv1x1/6zqQ3W7r7CacdOSetY7c\nt+PXHe+Za1c+AKnJESREh7BgZRpJ9lDsdhuOff5OzWkpA4mytv67N3XfyvfuY9+cd9AajQy48zai\nT+nb6ut0Jx31/1qTwfeHH34gIyODH374gdzcXIxGI1arFafTidlsJi8vj9jY2GYvUlxc1WYNbg92\nuw2Ho7yzm3FSkXvWOnLfjl93vWezP98BgAEVm1HL/TNHkBBlxeEo51BhBiF6K94KLY7K1n33pu6b\n4nKR9c5cABL/eB9K/yHd8h4fr7b+f62pQN5k8H3ppZcCr1999VWSkpLYvHkzy5Yt45JLLmH58uVM\nnDixzRoqhBBdmaqqqNCmZf2ibP60kUNTowBwel0UVBfRP6JPuz1/dcz/kOr9+7AOG45l0OB2uYZo\n2nGv873nnntYsmQJs2bNoqSkhBkzZrRHu4QQoktRVZU/vvwztzyzkjU7c0/4XLXCQoxBn/2SvRYV\nlf4RfU7oGsfizsmmdPUqDHFxJP7hHplg1Ula/HT9nnvuCbyeO3duuzRGCCG6KrdXodLpBeCdL3Yx\ndmjrk1B4vAoAw/pGNQh+v+Ssx6A1MLnXhNY39hh8lZVkPPs0+HxEX3wJWoOx+YNEu5AMV0KIHuuL\nXw7z0Yr9LZo8Wu3yttl1nW4fAGZD8ETUKk8VOZV59AlPIdQQ0tihJ6Toq6X4ysuIvOBCbGeNbfPz\ni5aTeeVCiB7r058OAmA26rh0UtOzfaucwcFXVdVWD9lW1QRysyn4J/hQmb+yUd/wts+pXLLyO4qX\nfY0uPJzo314iw82dTHq+Qoge74tfDpPlqGhyn6qjer7PfLi51derrWYUE24O2r6v+ADQ9sHXU1RI\nwaeL0FosJN/3AFpTx9YGFg1J8BVC9Egery/o/bzl+5rc/+hh530ZJa2+9sHsUgB62evKB+ZXFfBD\nxipCDFb6hqe2+txH81VWkv6vJ1Gqqoi6eDqm5I4p1CCaJsFXCNEjVbuDg+++jBK8PuWY+9cOO48d\neuL1bXcdKUajgUG9IwLbNuZtxav6mNHvQix6cxNHt5wrK4v0fz2Jr6SEiHPPJ/K837TJecWJk+Ar\nhOiRvN6GgdbtCQ7Ih3PL+PNrq0jLKg0MOw/vG03v2FDMxoZZ+976fCc3Pf09WQWVVFR7GnwOUFbl\n5lB2GanxNqxmA+CfaPVz1hoMWj0jY4ef6FcDQFUU8t6djScvF9uYs7BfcRUarfzkdxXylxBC9EiN\n9XJXb8/l563ZgfffbcikpMLNG0t2BIadLSY9er0Wr6/hDOm1u/IAePS/a/njyz+TVVDZYJ+lvxzG\np6gM7eNPqqGqKm9ue5dSdxlnxI3Eorec8HdTFYW9/34B56GDhI4eQ8Jtd0je5i5Ggq8QokfyNBI8\nP/puP3O/3hN476zpCZsMusCws9WsR6/V4PUpQUuUlEaWKz39v40NtpXUFE+YMtJfp3eLYwcHSg8z\nOHIAVw1sm6RFJSuWU7h6DaaUVGKvmdUm5xRtS4KvEKJHqh127pPQMP9uba84M98/Azoi1Nig5wvw\n9dp07nt1FcXlLj5fdShwvDasANPQX/D0WUWFp673W1rpZtvBQgBCLQbyqxy8t+sjdBodVwycjkFn\nOOHvVbz8GxwLPkZnsZB4973owyOaP0h0OAm+QogeyVMTYAenRHLhWcFLeyqrPZRVugP1dQ16XeCZ\nr9WkR6/z/3Qu/OEApZVuPl99iHWH92PotwXjkF8xDtyINqQMna2EN7fOpdrrLx+44Ps03B6l5pxa\nvs9YhUfxcs2gy0gIObGJXKqiULj0cxwLF6Cz2Rj+1D8xREae0DlF+5GHAEKIHqm252vQaQmxBPc4\nK5xeDueUBd67aoaftRH5fJ31JekR+zAO1KF6TGhM1Wz2GvAkONBra54j+wwklI4j07eHQ6Tz+YFv\nuHrQDHIK/b3g1Hgbm/O3syrrV6LMkYyJH3VC30VVVYqXf0PhksVojEbib76NkD6pVEmloi5Lgq8Q\nokeqHVrW67REhgYnnSgqc+IoqQ68L3eXUxJyBNPAHfySA+hAV2801wPgNRLiGMG1Z04kMcrG/O8P\ncPCAiV6Jm/gp6xesBgt6fQwaDdx1VT+eWv8iBq2eqwfOQKc9sXrnpT+spGDhArQWCyn/+CeG6OgT\nOp9ofxJ8hRA9kqde8DUelWP5xQVbmTwiEVAxD9xCSYR/FjM+PbeOmMW2LVp+3LMHFB2qMwQ0ChpV\nR1JSBKf19Q8fG/VaULVMjpjOiqJFfHP4O4wRCZh1ITyz4UecPhczB13GsJghJ/Q9qvfvx7FwAVqr\nlV4P/lUC70lCnvkKIXqk2qVCBr0Wg77hT+ERRwmGlN1oIvJQKm140gdxtmUmI+zDiLBYUCsjUKtt\noGpB0aOqmkBtXgCd1p87ed7n2SiHTifGEo3bmgNxabh8bi7pO43xiWNO6Dt4iorIfOnfqC4n9quu\nkexVJxHp+QoheqTaZ756nQaDri74Wkx6qt1u8kLWoI/IwUQIJftOB4+ZSdP7AxBqbXxWcpStLjPV\n6h11NX/zsozM/t2D3PXGUsKiXNx78QQSQ1tfkhDAW1JM9msvo7pcxF57PeETJp7Q+UTHkp6vEKLH\nKa9ys35PPuAfdq7f842OBNMpv6JG5KBUhnF96u3g8QfVsJqgG1pvglafhLDAa4upbvg6LCS4Vq6j\npBpXWQi9TYNOOPCqikLunP/iSj+C7YwxhJ89+YTOJzqeBF8hRI/zxpIdbEkrAPzDzvpA8FVxx29H\nG1KGtyAR9+4xpNjrluuYalJK2uoF335JYfU+rxtM/Nt1pwddc/vBIsC/VOlEeMvKSP/Xk1Tt2ol1\n6DDib7tT0kaehOQvJoTocfakB1ckqu356uyZlBuP+J/xHhyGquiDerO6miAXH11X6H7iqYmB1/Ur\nJcVGWJh0Wt1nOw/5g+/Rk7uOhzsnm4ynnsR1+BCho88g/pbbpC7vSUqCrxCix+mfHB54XVrpDjzz\n1dszAQ3u/aOo/Xk0NRIsI20mLpvUlz9cOpxesaH0S/T3fpWjMkzecMEg/t+tZwKwJ734mOdrCVdW\nJlmvvozH4SDinKkk3HYneltY8weKLkkmXAkhepyKqrqKQ4kxIRj0WrQR+WhDS4nV9eaIu664wbF6\nlhePSw28/uMVp7J8fQbnnxE821ij0ZAQHYJOq8Hprs0Tffx9Hm9JCRnPPoVSWUnkby7AfuXM4z6H\n6Fok+AohepRDOWXkFlURH2XltumnkBofRkZpLsb+W1AVDcMjzuAI/kxUt/72lBad02Y1cvnZ/Y75\nua9el7i2jGBLeRwOMl94FqWykpjLryTygguP63jRNUnwFUL0GB6vwpPvbQBg8sgkUuP9w7YbHJvQ\naBXcB4YzsG9/YCsAY4f6ZyU/e+dYtG30bPWMIbEt3lf1esl9bw4eh4PwKecQ+Ztp8oy3m5DgK4To\nMdbsrFt7WztEnF/l4MfM1ahePb7ieMzGhj+LMeEnXmMX4OJxKYRZjc3vCKg+H5nPP0v1/n1Yhw4j\ndtZ1Eni7EQm+QogeY3tNOb8bLhgU2LYxbxsexYMnfRgoOnyK0ubXffCakWzc62DGxL4t2l9xVpMz\n+x1/4B12Kgm33i6Bt5uR4CuE6BF2Hylm414HveNCg5YAHSo7AoCvxA5AQox/GdH44SeWCKO+wSmR\nDE5pWXk/VVHIm/c+lZs3YUzuRcKtt6MLCWn+QHFSkeArhOgRnvtoMwAXjU0N9CIVVeFQ6RFizFFk\neP15mcOsRt64/2x/YYQOpqoqOW+/QcWG9ZhSUun910fQ6OVnujuSv6oQoturn/xi5ICYwOvsilyq\nvNUMjR7M9dedjramGEJr1+KeCNXno2DxQio2rMfcpy+Jf/ijBN5uTP6yQohur7jCDcBZp8Shr1dE\n4evD3wEwMnY4/ezhjR7bEVRFwfHJfEpWLEdnCyPhjrvQR0Q0f6A4aUnwFUJ0e8vXpQPQL6kuwCqq\nwq6ivcRaYzg1ZmhnNQ1VUcj+z6tUbtmMwR5Lr789IpmregAJvkKIbs3l9vH9piwAzh5RN9GqsLoY\nt89Nb1typ80kVlwucme/TeWWzZj79Sfhltsl8PYQEnyFEN3a8g0Zgdf1h5wzKvwBOTk0scExHUFx\nucid+18qNm3E1DuFpLvvRWezdUpbRMeT4CuE6JZ+3JJFpqPymJmpDpYeBqBPeEoHtspPcbvJ/Pcz\nOA8dxJTah14P/Q2t4fjSToqTmwRfIUS34/UpvPfN3qBttakiwZ/ValXWWix6M71tyR3aNndeLlkv\nPo+nwEHo6aOJu+FGCbw9kARfIUS3czinvMG2q6f2D7xen7cFj+Lh6oEzMOo6LvAVfr6EwqWfg6IQ\nPuls7Ndci9bQsnSTonuR4CuE6HZyCisbbKufU3l34T60Gi2n2Yd1SHu85WXkzv4vVTu2oQuPIPri\n6URMOadDri26Jgm+Qohup6zKv673uvMHsnTNEX53/sDAZ+XuCg6XpdMnvDdWQ9sUTGhK+cYN5H/4\nP3ylJZhS+5B45x8wRMc0f6Do1iT4CiG6FUVV+XlrDgC94208/4fxQZ9/vHcxKiqjYk9r13aoikLx\nN19R8NmnAERdPJ3oSy6VAgkCkOArhOhmDuWUkV9SDTQsBej0uthesJuk0ATOTh7Xbm1QnNXkz/+I\nsp9/Qms2k3j3vVgHD2m364mTjwRfIUS3UuX0AjDx1ATCQ4InMx0oPYRP9TE0ejBaTfsUTlA8brJe\nfpHq/fswxieQ/JeH0Yd3XupK0TVJ8BVCdGlOl5eyKjdhViOb9zkoKncx9fRjLw9ye/xFFJLtoQ0+\n25y/HYBBkf0bfNYWvKWlZDz7FJ68XEJGjCT+5tvQWdr/ubI4+TQbfKurq3n44YcpLCzE5XJx1113\nMXjwYB588EF8Ph92u53nnnsOo1Gmywsh2t6dz35PQUk1/31wCq8u9gfPySMT0Wkb77m6vQoABkPw\n57/mbGBNznqizVH0C09t83a6srPIeftNPHm52MaOI+53N6A1mdr8OqJ7aDb4rly5kmHDhnHrrbeS\nlZXFTTfdxKhRo5g1axbTpk3jhRdeYOHChcyaNasj2iuE6CEUVWXpL4cpqHl+uy+jJPBZRZWH8NDG\nA1ttz9ekDy4LuCZnPRo03DPiVgxtvLbX7cgn65UX8RYUEDZ2PHE33SITq0STmn3oceGFF3LrrbcC\nkJOTQ1xcHGvXrmXq1KkATJkyhTVr1rRvK4UQPc67X+9hyc+HAu+f/Whz4HVZleeYxwV6vvq6n7fc\nynwOlBwmNaw3dmt0m7bTnZtD+hOP4S0oIOrCi4m/+VYJvKJZLX7mO3PmTHJzc3nzzTe58cYbA8PM\n0dHROByOdmugEKLncbl9rNqWc8zPa9fxNmb97nwAbFZ/71ZRFebu/BAVlcm9xh/zuNZwph8h+/VX\nUJxOYi6/isjfXNCm5xfdV4uD78cff8zu3bv5y1/+gqqqge31Xx9LZKQV/VFDQF2N3S7VRI6X3LPW\nkfvmp6rqMXuIG/fkBV5Pn9SX0nI3P27ODGxb/NNB4u02BqdGBR2XX1xFWlYpAKcPS8Ri0vNL+kYy\nK7KZkDKGacMmtln7y/enceSNV/EWFpJ8xWWkXHd1m527rcj/a8evo+5Zs8F3x44dREdHk5CQwJAh\nQ/D5fISEhOB0OjGbzeTl5REbG9vkOYqLq9qswe3BbrfhcDTMBSuOTe5Z68h98ysud/F/767nzFPi\nuPCsFMKOWhKUm++/RxeNTeGmi4eybnt2UPA9lF3GX179mTkPB6do3LDH3+sdOzSeirJq1hXu5a1t\n76LVaJkSP7HN7r3z8GHSn3oSfD4iz/sN1gumd7m/q/y/dvza+p41Fcibfea7YcMG5syZA0BBQQFV\nVVWMGzeOZcuWAbB8+XImTmy7f00KIbqXNTtzefOzHXh9SmDb12uPUFrpZvn6DP706qoGx7jc/klT\n8VFWdDot/ZPCMRmbHj0rqC5kb3Yu4F/ju/zwSt7YNheNRsPtw28gPiSuTb5Pddp+Ml/6N/h8xN90\nKzFXzWyT84qepdme78yZM/n73//OrFmzcDqdPPbYYwwbNoyHHnqI+fPnk5iYyIwZMzqirUKIk9A7\nX+wCYOJpiQxNjaLa5WXFhsygfQ5kl9IvsS4Rhat2xrKhLuA+ddtZfLF2Hz8d3gga0Og8LE6rwuVz\nc6AwgxxnFgDGQdEsLzzI3pJ92AyhXHfKVQyNHtwm30XxeMh9dzZKRQX2mbMIG9e2z5BFz9Fs8DWb\nzTz//PMNts+dO7ddGiSE6J6W/HSQoalRvFazVre+/RmNB1+jQYfT62JJ2ldsLdhBvqYAY5+6475L\n3x94rVSEg0ZFF17I3pJCwo1h3D3iFhJD6+r4ngjV6yXz38/gyc0lfPI5RJ57fpucV/RMkuFKCNGu\nLCYd1S4fB3PKUFSVjPyKBvscyC4Nel9es5RIo3fxwuq32ZK7C6PWQLKlN0eynPhKYzCqIdx7+Sj2\nHKpgyfc54DUCKr2T9dw6YyAJIXFtlkJSVVWKvvkK54E0rEOHEXP5lW1yXtFztU9yU9FtfbM2nZue\n/p4Nu/Oa31kIwO3xP+tVVf+zXJNBi06rwWKq+7f/xr2OoCQauUVVoFFYnP0hW3J30Tc8lWcm/oNZ\nfW7AnTYKn6M31QXRpB8wcvigpibwAmgwEkpSaEKb5m4u/vpLCpcsRmu1knDL7ZIyUpww6fmKFst0\nVLBgZRoAT/z3V2Y/NEWSCYgmeX0KPqVuOWJZlZuiMhcDe0Vww7TB/LA5i6gwEwvW/8rC/V/gPFBE\nlbYQlyUEy2lV5FdXMyFlDFekXoJBZ0ClOuj8H67wDzubjTr6JISx+0gxqtL88sfjUbTsawo+XYQu\nPILk++5HZ5PlO+LESc9XtNih7LKg9wWlzk5qiThZ1KZ6rLVhTz4qEBtpIT7KysWTEtmifIlp8Aay\n2E6hkkWV241iLQRjNafZh3HTyKsC6SCjbOZGr2OzGogK86ebjAxrfJ/jpSqKP/B+Mh+txULiHXdh\nSu7VJucWQoKvaJJPUSipcAGQXvOs7vSBdgB+2ZHbae0SJweXRwl6v+jHg4A/+Ja7K3h72/scqTyE\nryQG157ROLdMwrnhPJw7xvGbiGu5bfj1hJpCAseHhRh57U+T6JsYFnReR4mTa6YO5PwzenH9bwa1\nSdsLFi6g4JP5aIxGkh94CMuAgW1yXiFAhp1FM15fvIMtaQXMPKc/GfkVaDQwbng8G/c5SM+TBfyi\naW6vr9HtsREW3t81nwOlhzglahDuwtPZXlYU+FytCmNM6oBGj7Wa9ZQflV5yWN8orGY9M6c2fszx\nKvrmK4qXf4Mhxk7y/Q9isNvb5LxC1JKer8DrU9h2oDAoCUKt7QcLAfjy1yOUlLsICzEyqFckAEob\nP1sT3U9tsoxgKruUH9lVtJdBkf2587QbSYkLa7BXmPXYlYccJcGPPO65bPiJNjWgcsd2ChYuQGez\nEX/bnRJ4RbuQ4Cv4cs0RXvpkK5+vPtzgM6Umd3d5lYf8kmrMRj16nX+Sla8Dg6/SghziousoLnfx\njznr+Mfc9QAM71tXScgSl8+6vA0khMTxuyFXotVoSYlrWPi+/mzoo00ZmRR4fcclQzG0Ue74qt27\nyH7tZdBoSLr3fix9+7bJeYU4mgw793Aff7ef5eszANibXhz0maqqHB3zTAYtug4OvvsySnj6g01E\nh5l57q5xVLu8ZBVUsmpbNlefM6DJH2nR8XyKwv2vrw7a1i8xjO0HC9FYylCTdqDTaLnj1N8TZfaP\novRJqOv5PnnzGEwGXZMz6a89byCXn90PRVUJtbRNbV5fVSV5895D9flIuP1OzKmpbXJeIRojv1o9\nXG3gBTg6lNbWRa3PbNChrflR9DUyTN0evljtr+laWOZEVVXeWLKDHYf8zwfNxrZ7zifaRkW1t8G2\nQb0jQOPD2HcHGr2HqwZeSoylrjccaTMFXifEhAT+HzsWrVaD1dx2P1+K203GU/8PT34e4VOmYhs9\nps3OLURjJPj2UF6fwsa9R9VhPir6Vjkb/ogajf4eiV6n7ZCe7w+bs9h5uK5Hvv1gYSDwAlRUH7uo\nuuh4jpJqdtb8fcYPi8fl8aHVahjQK5zEs7ZR7Cvj1MhTmZg0Nug4jUbD07efhUajaTbwtjXF4ybv\n3dm4c7IJGzseuxRKEB1Agm8PtWV/AW99vjNoW/3hW1VVAzNKJ49M4teduTjdPkLM/iE+vU6D19e+\nwVdVVd5ftjdo20ufbHli0eUAACAASURBVAt6/8uOXCYMT2BwSmS7tkU0bf2efN79ejfVrroJVvYI\nC9Mn+BMxb3PspNiXx8CIftwwvPHUjLGR1g5p69GKvvic8nVrMSYlE/u769Ea2mYYW4imyISrHqr+\nUo3Rg/31mG31Zpeu3JwVmCxjNekD9Va9NUPROp0Wr+Jjd+E+fspcQ3p5JmobT4oqKnMd87Nke93a\nz6VrDrfpdcXxcbq9vLFkR1DgBTh7RCIAFe5Klhz4GoArBk7HrDc1OEdnqdy5g+Ll36CPjKTXw39H\na+o6bRPdm/R8eyidru7fXddMHcCGPflBS40W/Xgg8Npq1jO8TzTfFWdiDVFZuP9zlMEbKDI4eW1r\n3TnP6z2ZGf0vbLM2Hsqpy6hl0Gvx1AT+MKuBJ24aw83PrATAq6vk3Z0f4fQ5GRjRjwlJZ2HUGRs9\np2h7hcfIdBYe6g9k32X8RF5VPhOTxpIUmtCRTWuSt7SU7P+8hqqq2GdeK/maRYeSnm8PVRvITh9k\nx6DXBm0DiAit6wFYTXomjYnktPGF7LYsZmXGKjD4f3AjTOHMGnw5YUYbq7LX4lMaT6rQGgdr0llq\nNRpe+eNEYiP9P44p8WGBmbAacwVHLN+zPm8z2wt2syhtKU+vf5ktjh0oasdMCOvpSir9oyijBzVc\nD6uoChvytmDWmbis/8Ud3bRj8lVWkvPm66guJ/arr8F2+ujObpLoYST49lC1M5XHDY2vC771er5x\n9Z6/FZHBs5ufZ59nPQoKF/f5DWEHZuDccjZjNFf9//bOOzCqMvvfz/TJJJPeO70k9KYgIEUFURHL\noth1rWvd/drWLf7WXV3dtazroii6dkVRkRWpKqD0AKEkhPTek0mdPnN/f0xmkpAACZBMQt7nr8md\nufeee3Jnzn3f95zPIdl/PBPDx2Kym0itOnrObDxWYECpkPHGYzPRqBU0tyRXhQa4tHsfvn40mpH7\nkOuasFfGMs/nViZHjKfCWMU7Rz7k/aOrMNpMHY57ILOKr7fnnvNp8oGKuWW6eWhsIG/9bjb+OhVX\nTE8A4Ous76g1GxgXloxa0XfWUqtWfYYpKxPdqNEEzrrY2+YIBiBi2nmA4g60CoUcVcsUtL3NyNfd\nzByVmX1NuwD41fCrmRQxDj+VL9WJmVTsN/Pt9iK+3V7Ecw9O45fSPazOWsuE8DHnpJ1bXZOFEH8t\nWrXrNnWPzN0PC1XkIlNbsJcnYCsciUEv55bJS0lP8acp5AD7qw5SbanmnjG3EqhpbdTubuY+bXQE\nMaG+CM4Od/MEjUqOWqXgtYdnAlDaVM5Pxb8QqAlgYeJ8b5rYjqpVn9Gw8xc0cXHEPPo7ZIpzI9Ah\nEHQHMfIdoDhaMpVVChlyuQyFvH32sqvMSCLhguM02Oq5NGEOs2On46dyBatZE2LbHS9cG8aUiAk0\nWBspbio9JzaarQ406tYfxsgQ12hcrVJgMNexoXgDkgT2inhAxo4j5az8Lh1LXQCW9AuR18dQ0FDE\nX/e8Qp3F1ay97Wj31S9SWftL3jmxdSBjdgffNv8rs93M58e/AeCGEUsI04V0um9vIkkSDbt2Yti8\nEVVYOJF33ycCr8BriOA7QGk78gVQKuTt1nybLRb8hmZRaSkjOWQkVwy6tN3+IQHt27bZ7E6GBw0B\nIMuQe9b2WW0OLDYHJktrrfEj141j9vhoFkyNY2fZPswOM/aiEUiW1tFryvEqV+2vU0FzZhKzY6dj\nspv4LncTAMY2x6ttsLDmlzxKqpvP2t6BjFu/WaNqDWTf528hpz6PEUFDSQoZ6S3T2mFYv47yd98G\nuZyo+x5AEx1z+p0Egh5CBN8BiMXqYN2uAqB1CtdVt+sKvpIk0eSTgyM4lxBtENcPX9xB6u9ESUeb\n3cmwQJcObkZt1lnb+MOBYqC9gH6QXsNtC0aiUsvYXZaCWq7CXnmK/qqSnFHKi4jUhbOrbB+7Svdh\naOxYvvTHlXs6bSohOD0Wq4NKgxHAU46WV1/A9uKdBKj9uW/sHedkCeJsqf/lZ6rXfI3CT0/ck79H\nm5DobZMEAxzvfysEvU5b4YrIYNdUbttSnl2FRyAqE5mk4PHJD7WTAXTjXod1Y7M7CdIGkqCPI732\nOJmGnA77dAe3ytHYIR3P/WXmGmrNBqZETgDnqdMWXv3iMHcn34pSrmRjwY+U13Q+yq1t6LxcRnBy\nrDYH97+yja2ppSgVMuLD/aiz1PNG6kpsTjtXDr6sTyRZWYoKqfjofeQaDZF334vPkKHeNkkgEMF3\nIJJZ1CrX6B7BKhVyLHY7W4t38kn2xyC3M9lvLnp1x24zAFp1+7Uy9zT2VUMWAHCkOv2sbHSXGV0z\nq31XGZvDRkpFKkGaQK4ftpgF0+IZERfIs3dMOemxLE0+TI4YT5Wphu2lruSxx28Yz/P3XOD5THMn\nUpqCk2Oy2NlxpMzz9+KLBmF0NPOf1HcxOyz8avjVXBh98v9Jb2EuLKDw78+Dw0HkXffgm5TsbZME\nAkBkOw9I3JLMsWGtgVWllGNQ5PFl5iEkpxzf0ou47daTZ6hqNUrmT4plz7EKGo02z6g5wd81DVza\nVH7G9hnNNg5mVRMVoiMuvH3w/6HoZywOKxfFXIBKoeJXc1yjGLO1ffB84Opklq9xlT0ZLXYuTZjD\nkap0cmy7UIaPAt946pCYNL2ZQ0XFpFarSYycccpOOgLILq7njW+O0NDcqpCWlBjE5Rck8PGxLylt\nLmda5CRmnaDd7A0cjY1U/Helq5Z32c34jZ/gbZMEAg8i+A4gKmqNbEkp9qx7/v6WiZ735GoLyvBM\nJAksx6YRoA09bSBadslwVCo563cXeoKvj1JLiDaYkqayU+57Kv7yQQp2h5MLRke0s6GgoYj/5W4g\nQK1nVsz0dvu4167dxEfqPa8tNgcRujDuTL6Jf6e+gyoxnTeOtI7MVVGwpSoPY0Y51w2/Co1Qx+pA\nWn4tH6zPwGx1tGtmEaTX8LsbJrCnbD+7y1t79Hr7IUZyOil+7WUsRUX4XziDoLl9p9RJIAAx7Tyg\n+G5XvieRKT7Cr926bWP4LuQaE46qWCRjAFNa9J5Ph7tGuG2mdIxfFI22Jhqsjd220Wy1U2lwCWOE\nBrSX+ztQ6WqqsHTEEkJ9gtu9p5DLCfFvVeUKDdByy6XDAXh99WFMFjsjg4fhyJmMr2EM8+JmMTdu\nJjcOvx7L8Uk4zT7sLNvLV1lru23z+UxpdTMb9hTy9to0quvNHbpIWawOmm1GPjv+NWqFmhtGXOP1\nBCtJkqj59hssBfn4TZxExG13eNUegaAzxMh3AFFhaFV7umRya5ZwnaUem6YWZ1MAtoLRAIwZHNxh\n/87oTB0rxi+Sw9VpZBlymBQxvls2VrfRCW67ruyUnByqOopaoWZ08IhO9/3HAzM4kltDfLgf8pa2\nh27+tfowT9w4AWtNKCG6QK4Z1jrqf6++EcvRGQRPSmFn6T4GByRyQZSQGwT4x+cHqW+yttsW4q9B\noZBTaTCh81Hwbc56bE4bS4YuYmjgIC9Z2kr9z9uoXfc/FH56wm64CZlS/MwJ+h7irhxANBpbRy3T\nkyM9r7Nb6nIdtREguQLWidnMJ0OldAXItiPfSRHj2VjwE9/nbTmr4NtWtOGHwu1UmWqYEjEB1Sky\naMcMbs2OTmgz9ZxZVEdBhWskfryozrPd0dTEI4OaOLbnKEO2m7CaapH/703yo4bgmziYgJmzUEdF\nd+sazhcsNkeHwAswflgYE4eH8Z+vjzBmspEdpXsI1AQwI3qaF6xsT+P+fVR9/ilyrZb4Z/6EKrhr\nD5ECQW8jgu8AwemUqKlvHfm61+SckpPtJbsBcDS6Atfw2ABPCdLpUHfSlCHKN4LRwcM5WpNBg7UR\nf7X+ZLt3oLqu1ca2DwD7Kw+hlCu5bvhVXT5WfET787q7JGmUckw52Rg2rqf58CF87HYmAjSApFRi\nUjixZmZizczEsGkDuuSxhN94E+qIiC6f+3zgUHZ1p9tHxAUyKiGIJ389hLcOv49CpuCxiffho9R2\n+vnewpyfR/m77wAQcesdqMI6NnoQCPoKYs13gGBotHjkIyOCWtdSs+tyyanPI4QEpGZ/lAo5T908\nqUMC08mQy11BfMXatHbb4/Uu+cmixpJu2dl25BvQItpgc9goaSojzi/aI2/ZVSYNb/0BlksOEoxl\n/Ma8i6IX/krTgf2oIiJRXnYV78deTso1vyPxP8v5/IZB/OdXYdhuWowmcRDGo4cpfP4vGDZtGDDN\nGCRJIj2/FoAnbpzAXYtGed7z91XjlJysOPwBdZZ6FibO77QWvDcxZhyj8IW/IlmtRN75a/RTvT8K\nFwhOhRj5DhDciTKXTI7jxvnDPNtz6lxKV/GqURRDt5We2gZLm93hmYaO93cF38KGkm7JCzYaW6c5\nA/Wu4FvcVIpTchLvfwo1q06w1xm4WltCRMU+wq0Gwt6s40Zc16cdOoyQK65Cl5SM2eqgKu9nMspM\nqOUq7h93By+l/JuN/mX89g9/xrBlM9WrV1H1xec0HT5E5B13oQoJ7ZYt/Y3PtmSx/ZArYz04QMvI\nhCDeXXcMcAmgpNVkYLDUMSN6GgsHzfOmqVR/8xW16/4HMhmRd9+LfvJUr9ojEHQFEXwHCCvXuUpr\n1Kr2I9rsOtd6b7Q2Fiju9nEvHh/NdzvzASisaGJIjKt7UJzepZub25DfreOZW3SC770qCYXcZWte\nvesBIbELwdfe0EDjvj007t2DOScbgLGATaagUhNEuSaE8dcuJG76eM/Uu49GybihoRzIrCKvrJHB\n0XGMCh7OsdpMsuvyGDr/EvRTplD21nJMGcco/udLRNxxF7rhnSd+nQ9kFLrWxa+akUhYi473nZeP\nYvvhUgKCHLx38GsAZsZccNJj9DSS3U7V6i+o27IJZVCwqy/vZO8LewgEXUFMOw8QSqpcsoplNUbP\nNqPNRG5DAZG+EQT5+J/RcYP9tdx9pStD2q1KBRCg9ifWL5r0muOeEqFTYTTbsNgcnvZ0k1oas9sc\nNn4s+gWlTOHRju4MS0kJZStXkPv4Y1R99gnmnGx0o5IIu/Em9s65g1cG38gHcYvYGH4B2iFDO9Sh\nTh3lKq3KbEnGWpg4HxkyVrV05lEGBBL35O8JWrgIW1UlJa/8g7rtW5Gc558mtMXmoLy2mcRIPVfP\nHOzx1UVjo/j9zZPYVvoL9dYGFiTO8zxk9TaSw0HVF59Tt2UTioBAYn/7fyLwCvoVYuQ7AChro2ec\nlBjkef1tzvdYHVamRIzHx3bmt8LgKFfgzitvDb4ymYw7km7kuT0vs6cshYnhY0+6v8Pp5MHXfsbP\nR0V4kA8KeWuZUF5DAQZLHbNiphOkDeywr7WslNr139Ow8xcA1DGxBMyche+48ajDXAE1fG8hUlG2\nZx8fTcc2cnqda4rbrZQ1JDCR5NCRHKk+Ro3JQIiPy29h116PbvgISv/zOpUfvo85L5fwpcuQa72b\nbHQuqa43Y3dI7bLF3RQ1lrCjZA8Ban8WJnpnulmSJMrefpOm/SmowiOI/8OfUOhEX2ZB/0IE3/Mc\nSZJ45p09AMxIjmT2hNaRSlrNcfxUvlwSfzHZxQ0nO8RpCdS7xC2aTe0lHiN9I9Cr/Shrrjjl/sdb\npjibTDaaTDZ8ta23ZUGDayp8WFD7Ua/DZKJ27Rrqtv2EZLWijoom5Kqr8Zs0GZm8/YSO2z43Wk3H\n295dU+ye9gYYHjSUI9XHXAlpPq0PLb5jxpLw//5G6Ztv0PDzdpqPHCbq1/eiGzmqw3H7I+42jroT\n/OSUnLx39BOsThvXD74apbz3fz4kp5PKTz6iaX8K2kGDiXrgIRF4Bf0SMe18npNb1hpUF180yNMt\nyGCuw2CpY0hAIgq5wlOWs2BafLfPoWjJeHZ0MgUb5RtJjdmA2d6xlZ+b1BNKWhLbjLgKGl3BN6El\nexqgYecO8v/4NIbNG5EpVUTefR8Jzz6HfsrUDoEXYPLIcJbObe1kc2JQgdbgu2lfkec63BnbxU2l\nHT6vjogg7vGnCLpsIY66Oor/+SI13609L6ah3/3OlR/QtpcywNHqY1SaqpkaOZHpXmia4LTZqP7m\nK+q3/YQqNIyo+x5AFRR0+h0Fgj6IGPme59S0ZCNHhegIDWwtMcqpzwdgcGAi4Eo6evfJOWekyesO\nvk5nxzKcKN8IMg3ZlDaXMTggsdP988vby1DqfVu1lQsbivFV6QjWBmHOz6PsnRXYKsqRaTQEL7qS\n4EVXIlefWotZLpNx2dR4Jo8Ip77Z2k75yo1O2yrcUdtgISzQhxg/lxBJliEHSZI6+Ebh60vY9Uvx\nHTOWspUrqFnzNcZj6UTf9xsU+q7XNvclymqaPUpobf+b5c2VvJf2KQAXx87wgmVQ/u7bNKXsQ6HX\nE/f7P6L0P7M8BYGgLyBGvuc57mnURRcmeLbZHDY2FfwE0E4O8EzF8GUyGXKZDHsnwXdkkGvEuaN0\nb6f72h1Osovr221ztznMqM2ixlzLYP8Eqr74nMK//QVbZQW+EyaS8MdnCV1y7WkDb1tCArQMju78\nBzvAV+2Z7naXZfkofRgXmkRhYwlZdSfvT6wbOYq4J3+PLikZ0/EM8v/0DMZjZ9dS0VvUNrbOUFx3\n8RDP663FO7A5bVw95HJP56reQpIkatauoSllH9rBQ0j483Mi8Ar6PSL4nucYze71u9aR3bHaTEqa\nypgSMZEE/bn5IZXLZTgcHYNvcugogrVBpFYe6VSgIiWjssM2nxZlq23FO/EzOpj3bQ51mzeiCg0j\n+sFHiPnNw6gjo86J3W1xT7m3bZfn1njOry865b7qsHBiHvktodcvxWkyUvzqP6ldv+6c29jTNLc8\neNx0yXB8W2YDihpL2V2WQpAmkHnxs3rdpqqftlGzdg0KPz0Rt9+FMrBj4p1A0N8Q0879jMo6E8F6\nTadTp53hznQObtPxJ702E3DVaJ6r1m8KhazTaWe5TE6CPpaDVUeos9R3yFju7DqGxgQgSRLOQ2nc\nuLcOyVSDLnkskXf9GqW+50Y8gX4uH9U1tY7+wnUuMY0qU+dSi22RyeUEX7YQTXQM5e+/S/VXX+Jo\naiJ0ybX9Rty/vNZViqbXuQKvw+lg5ZEPsTltXD7okl7vWOQW0JCp1cQ980dPBrtA0N8RI99+RElV\nE0+9tauDlOOpyC1tQKNSEBvmakrvlJyk12Tgo9R2SbSiqyj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GYrPZ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\nB7r42ISrtCX9AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "RhdTEdJK8bkI",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "### Volatility Calculation"
      ]
    },
    {
      "metadata": {
        "id": "0FDi2IHF8fcK",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 463
        },
        "outputId": "e7e1c51a-9181-45ad-869b-146ef58f25cb"
      },
      "cell_type": "code",
      "source": [
        "# Define the minumum of periods to consider \n",
        "min_periods = 75 \n",
        "\n",
        "# Calculate the volatility\n",
        "vol = daily_pct_change.rolling(min_periods).std() * np.sqrt(min_periods) \n",
        "\n",
        "# Plot the volatility\n",
        "vol.plot(figsize=(10, 8))\n",
        "\n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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RVKclM4JCCBE7mRYUoo9w1ev1U2kpkQvZw7RmmSuzKf7gqu2DJuYwQgjR30lw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LeRW5DOmtujJ79ZLZtx+Vvo3ZE4T26yYKQFBVO5SkqcciUMTbkCqCjMYKneibqv08tBVObMLqSo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\nsVUAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "FcS30upC8jJo",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "### Ordinary Least-Squares Regression (OLS)"
      ]
    },
    {
      "metadata": {
        "id": "2iJ998fN8mrY",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 496
        },
        "outputId": "7898cfbe-efa5-4525-a8fa-a1d75d2b0791"
      },
      "cell_type": "code",
      "source": [
        "# Import the `api` model of `statsmodels` under alias `sm`\n",
        "import statsmodels.api as sm\n",
        "from pandas import tseries\n",
        "from pandas.core import datetools\n",
        "\n",
        "# Isolate the adjusted closing price\n",
        "all_adj_close = all_data[['Adj Close']]\n",
        "\n",
        "# Calculate the returns \n",
        "all_returns = np.log(all_adj_close / all_adj_close.shift(1))\n",
        "\n",
        "# Isolate the AAPL returns \n",
        "aapl_returns = all_returns.iloc[all_returns.index.get_level_values('Ticker') == 'AAPL']\n",
        "aapl_returns.index = aapl_returns.index.droplevel('Ticker')\n",
        "\n",
        "# Isolate the MSFT returns\n",
        "msft_returns = all_returns.iloc[all_returns.index.get_level_values('Ticker') == 'MSFT']\n",
        "msft_returns.index = msft_returns.index.droplevel('Ticker')\n",
        "\n",
        "# Build up a new DataFrame with AAPL and MSFT returns\n",
        "return_data = pd.concat([aapl_returns, msft_returns], axis=1)[1:]\n",
        "return_data.columns = ['AAPL', 'MSFT']\n",
        "\n",
        "# Add a constant \n",
        "X = sm.add_constant(return_data['AAPL'])\n",
        "\n",
        "# Construct the model\n",
        "model = sm.OLS(return_data['MSFT'],X).fit()\n",
        "\n",
        "# Print the summary\n",
        "print(model.summary())"
      ],
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
            "  from pandas.core import datetools\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "stream",
          "text": [
            "                            OLS Regression Results                            \n",
            "==============================================================================\n",
            "Dep. Variable:                   MSFT   R-squared:                       0.281\n",
            "Model:                            OLS   Adj. R-squared:                  0.280\n",
            "Method:                 Least Squares   F-statistic:                     515.5\n",
            "Date:                Fri, 05 Apr 2019   Prob (F-statistic):           1.33e-96\n",
            "Time:                        05:22:16   Log-Likelihood:                 3514.0\n",
            "No. Observations:                1322   AIC:                            -7024.\n",
            "Df Residuals:                    1320   BIC:                            -7014.\n",
            "Df Model:                           1                                         \n",
            "Covariance Type:            nonrobust                                         \n",
            "==============================================================================\n",
            "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
            "------------------------------------------------------------------------------\n",
            "const         -0.0005      0.000     -1.119      0.263      -0.001       0.000\n",
            "AAPL           0.4407      0.019     22.704      0.000       0.403       0.479\n",
            "==============================================================================\n",
            "Omnibus:                      268.593   Durbin-Watson:                   2.074\n",
            "Prob(Omnibus):                  0.000   Jarque-Bera (JB):             7029.434\n",
            "Skew:                          -0.211   Prob(JB):                         0.00\n",
            "Kurtosis:                      14.289   Cond. No.                         41.6\n",
            "==============================================================================\n",
            "\n",
            "Warnings:\n",
            "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "bqyJkIJu8qZg",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 361
        },
        "outputId": "cfa42053-ac5d-4d1a-b38c-4801aa371721"
      },
      "cell_type": "code",
      "source": [
        "plt.plot(return_data['AAPL'], return_data['MSFT'], 'r.')\n",
        "\n",
        "ax = plt.axis()\n",
        "x = np.linspace(ax[0], ax[1] + 0.01)\n",
        "\n",
        "plt.plot(x, model.params[0] + model.params[1] * x, 'b', lw=2)\n",
        "\n",
        "plt.grid(True)\n",
        "plt.axis('tight')\n",
        "plt.xlabel('Apple Returns')\n",
        "plt.ylabel('Microsoft returns')\n",
        "\n",
        "plt.show()"
      ],
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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RztsuQ95Kadm8HkrP2JFY5xo4XSkXAKKoeh3U1aqeV9f/GmUe3XGMDYBQXw+N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\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "6ecRo_mT8uLZ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 348
        },
        "outputId": "9c11755c-97b2-4375-c762-5b9e8c23efee"
      },
      "cell_type": "code",
      "source": [
        "return_data['MSFT'].rolling(window=252).corr(return_data['AAPL']).plot()\n",
        "plt.show()"
      ],
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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SAGCxWNDd3Y2KisSFFYj0hfP5oFIxGdX9JVsZTVWJ8/Ehk/dyFY7joWIDvy+G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\nRpqzEEIIoTHSnIUQQgiN+T+P91T7zhMhygAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "5kMvp6dM8xEe",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "## Building A Trading Strategy With Python"
      ]
    },
    {
      "metadata": {
        "id": "r0QLRztE80C_",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "# Initialize the short and long windows\n",
        "short_window = 40\n",
        "long_window = 100\n",
        "\n",
        "# Initialize the `signals` DataFrame with the `signal` column\n",
        "signals = pd.DataFrame(index=aapl.index)\n",
        "signals['signal'] = 0.0\n",
        "\n",
        "# Create short simple moving average over the short window\n",
        "signals['short_mavg'] = aapl['Close'].rolling(window=short_window, min_periods=1, center=False).mean()\n",
        "\n",
        "# Create long simple moving average over the long window\n",
        "signals['long_mavg'] = aapl['Close'].rolling(window=long_window, min_periods=1, center=False).mean()\n",
        "\n",
        "# Create signals\n",
        "signals['signal'][short_window:] = np.where(signals['short_mavg'][short_window:] \n",
        "                                            > signals['long_mavg'][short_window:], 1.0, 0.0)   \n",
        "\n",
        "# Generate trading orders\n",
        "signals['positions'] = signals['signal'].diff()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "bliQ6m8n83a2",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 327
        },
        "outputId": "4acd6a57-7a9d-44ed-cd78-0b47c858ef4b"
      },
      "cell_type": "code",
      "source": [
        "# Initialize the plot figure\n",
        "fig = plt.figure()\n",
        "\n",
        "# Add a subplot and label for y-axis\n",
        "ax1 = fig.add_subplot(111,  ylabel='Price in $')\n",
        "\n",
        "# Plot the closing price\n",
        "aapl['Close'].plot(ax=ax1, color='r', lw=2.)\n",
        "\n",
        "# Plot the short and long moving averages\n",
        "signals[['short_mavg', 'long_mavg']].plot(ax=ax1, lw=2.)\n",
        "\n",
        "# Plot the buy signals\n",
        "ax1.plot(signals.loc[signals.positions == 1.0].index, \n",
        "         signals.short_mavg[signals.positions == 1.0],\n",
        "         '^', markersize=10, color='m')\n",
        "         \n",
        "# Plot the sell signals\n",
        "ax1.plot(signals.loc[signals.positions == -1.0].index, \n",
        "         signals.short_mavg[signals.positions == -1.0],\n",
        "         'v', markersize=10, color='k')\n",
        "         \n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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J7+5DgTnPvs2rqJTwMj393xpPwB7HBqDnYG/aftG5Hq7+wjX5R+tCCCGaiVra\ne2Wjx2BtGcGa30+ytX1/AOaYDxAZ6u2Q2xzA0sbWQtb/8RsdI/x4bdf7rH99ClM9CplZ5jy5Snva\nE2Scw1bdzezOH0P6nwMx7R1Kb79+BJu0FHu7Y0wLcwriAMY/iyj+4/L4wiaBXAghRO2ys2vcpPoH\nUGaysD3RNmx44ecvEK1UpE7VO842pk1Pw+rrhyY/DyUnh3zKWHZ/LFkfuxNNNL3p7VD+b/yNUb/C\ngKR4xuz9kQBPHWajN3t+C+ORfWEsfWgtN63qVWPdqr43b84kkAshhKhdUhIApl7RWM9K2GKJimLT\njhTKyi10TEuk/7HtmLv3AEA9a9rQgjeWY+nQAasC3/3vNR6+rxdJwUOJOGCb7OQu7rKXbU97ookm\nJN2bORu+5oHv32BJLwvd2wZSXGrmi7IQPFLbYDkRTE0ul1a5BHIhhBC1O3IEsD0aV/38HDZlDBpN\n3Cbb9tE3DKJwyX8ou7FivowqLXJrQACm2NEcHNSDh16dypeR5ZS66Rj5QUd7mTOt8va052/8zb7+\nmIdtmlRDTha3jumEosDPShh/BDingz3b5dAqbz456oQQQrjGtm0AWNu2Qz18yGFTvEcEFusRerYL\n4orY3pRWeTxe9R25qV07PjzwCZuHeQAeBOQUM/PtX4g5/hZZicdR/QMAePEfo/F6fQkjeci+b+mY\nibABlKIiwgI9uTm2PXE/HGT53QbA9hi/a1QAj0yNbvZDzaojgVwIIUTtli4FwNI6CqqkN03ZeZhN\nXycDMLB7NfNpVLTIjR4GXpjcniOp29ArOq7+73amfrwFg8k2Jlz1qpz1bOjAQfi97ngYa7htjLom\nOwuMRq5u60mv9c/x0eCpGLp1pf+InvTvGnpZBnGQR+tCCCFqU2VK0vKhw6G0xP45bl8+KVnF+HoZ\niO5QzbtqvZ4TkYG8+MS1HGkTiKfOg9nR07lj9V/2IH6mnP100X2dDnMm0HsteoHgzlHo//qdnqf2\n8tInTzF31mgGdg9Dq7l8w5m0yIUQQtRIUzG7mSWiFda27VBKbIH8VEBLftlle/88b1IvPNwcw4mq\nqvySt4fPX5hImbserxIzj8T+jVDPkFrPpwYHk737ENoD+/GdfS+Fi5eilJfZtytlZfjdeycA5bGj\n4TIO4GdIIBdCCFGjM6lZLVFtAFBKjJTo3Xly8guYzFaiOwTTNtzXab+/Urex7vSP4K5n8B+HueG6\nBXhXBPH8tXH43TLJdtzWUU77WsPCsYaFk73/qC0RjdUK99/rVM7csVM9XWXTJoFcCCFEjZwDeQnf\n9LqaHO8gWgR6cue4Lk77JGSxqPKNAAAgAElEQVTsZu2h9QDcXNaGUUPGYO4z2L69fPRV9mVLVC1p\nVM+8866h1W2t5kvA5UgCuRBCiOpZLBi+s80Bbq0I5Jt7xbJq8B0ATBnZHj8vg8MuZquZzw7/D6tq\nZVjEIIZ1moC5mk5o5SNiMfzyMyXT77vg6llbNPy0pI2RBHIhhBBOfB64H/d1H9k/W1pHkV9UxptX\nzsJaqjK8lRu9Ozp2cFNVlbWHPiO3LI8wrxZM6XRDjT3JC1Z8iPbgAcz9B5xTfUx9+6Hfvs1hXXns\n6PO8quZJegkIIYRwVFbmEMQBTK2jeGnNDnJLVcKDPLlj2mA0ZwXpHZl72Jy6DY2i4cYO16FRag4x\nqo/vOQdxgIJl72Du2t3xGL5+NZS+vEggF0IIYWO1ot+0kYARA502HfMKIz3HiJtey8M3R6PROAbx\nbek7eW/vagDGt7ua7kH1O/OYtV17Sm+cVK/HbC7k0boQQghQVULCHPOoG2fMwhrVBm9rOTtyrAAM\n6t6CQF93h3IWq4UNR74BoHdID0a2GuqaKlZpgZdde71LztEUSSAXQojLiFKQj+G7bzBHx2CpMnzL\nfeW7TmWNDy5ADQmhWKvll6W/ABDTyXkc+NfHfiC7NJcQjyDu7XFbrY/UL4Y1KMi+XH7lVbWUvLzI\no3UhhGjG3FevIqhbO7RHDoPZTHCHSHzn3EfgkH5o0tMAUPJy8Xn8Yfs+ha++Ttb+o6ghIexMyuLv\n//c7+cXldIr0p2ubAIfjpxan8+3xjQCMbzfWZUEcwNKpcqib6ubmsvM0NRLIhRCiGfOZPxdNVhbu\n77+HkpvrsM3j3eUABHeqHI9dOnkqpbffhRoczL5jObwet5vM3BJat/DmgZt6OaVC/T1lMwCDw/vT\nt4XjfOL1zdKhcqY0pbzcpedqSuTRuhBCNFOa1MopPK0RrdAU5DlsVw0GPN5502Fd4bK3Afhh60nW\n/nQYgKsGRDFhSBTuBseQcTDnML+m/AXA0AjnDnL1rspsakpR859n/FxJIBdCiGZKe2B/5QezBSXP\nMZArpaV4PfmY/bPq7k5uYRmf/3qU3/ekArZZzWZO7El+ntHp+N8m/4RVtTI8YhBRvpGuuYizFLz1\nHu5rV1M65ZYGOV9TIIFcCCGaqaqPn5XSEpT8fIftZ3dw29omhkVv/YnZoqJRFG4a2Y5xA6Iw6LWc\n7XRRGofzjqLX6Lm+/TjXXEA1ym6cTNmNkxvsfE2BBHIhhGiuTJWB3H31KiztOzhs1lR5PJ3n4ceb\nsfdhtqi0CvFi+rXdiArzqfawFquF5XtWARAT2gsPnXu15UTDkEAuhBDNVNUWufZ0Cm5ffg6AqtGg\nWK32bSqw8M5XyPLwp3WoNwvv6u+U8KWqAzmJZJVkE+Dmz00dx7us/uLcSK91IYRorkwmh49uX/8X\nsE0TWtWeyB4c8wzB20PPA5N61RrEATanbQdgSMsBeOk967HC4kJIIBdCiGaqpiFa5aPH2JdLdW6s\nmPI4AKNiIpyytp1tZ8YedmTsRkGhf1h0/VVWXDAJ5EII0VyVlwFQesONmPr2t6829+yNuWs3AFYP\nmcYR1Rt/bwOxMa3qPORvFePGr2t3FcEeQXWUFg3BZe/IS0pKePzxx8nOzqasrIzZs2fTpUsXHn30\nUSwWCyEhIbz88ssYDAY2bNjAqlWr0Gg0TJkyhcmTpUeiEEJcLKXc9mjdGt4SS7fu6LdvBUD190f1\n9GJDn+v4su8NKArMm9TbaW7xs+3PPkRi3hE0ioZhEYNcXn9xblwWyH/++Wd69OjBjBkzSElJ4Z57\n7iEmJoZp06Yxbtw4lixZQlxcHBMmTGDZsmXExcWh1+uZNGkSY8aMwd/fv+6TCCGEqNmZXusGA1Zf\n38rV0THsaNGdd7pMAOCGIW1r7KF+RpmlnHf3fohVtTI0YqC8G29EXPZo/ZprrmHGjBkApKam0qJF\nC+Lj4xk92jYRfGxsLH/99Re7du2iZ8+e+Pj44O7uTkxMDAkJCa6qlhBCXDbO5FK3BgSilJbZ1yfq\nAnmlIojf9vtqrh/ats5jHcw5TJmlnNY+rbi50wTXVFhcEJcPP5s6dSppaWm89dZb3H333RgMtkc3\nQUFBZGZmkpWVRWBgoL18YGAgmZmZrq6WEEI0e9rkYwBY2rTFNHgIbt9+Rcmd9xC/Px2AIYf+4Lqu\nfjjnbHO2I2M3ANEhPVw6MYo4fy4P5OvWrePAgQMsWLAAVVXt66suV1XT+qoCAjzR6ZwzDTUmISG1\nP6YSzuSeXRi5b+fvsrlnp08B4NenO3SKgs1/olNV9i36EYAJz96LV88ovOqYSSzh9F62pu8AYGTn\nKwjxvUzuXz1oiN81lwXyvXv3EhQURHh4OF27dsViseDl5UVpaSnu7u6kp6cTGhpKaGgoWVlZ9v0y\nMjKIjq59SENu7rl8f7x0QkJ8yMyUhP7nQ+7ZhZH7dv4um3umqgQnJ6MAWV6BqBXXnHgyj7RsI17u\nOgIiw8gsKAdqn0nsm8M/A3B11Cjcyrwvj/tXD+rzd622LwQuez6ybds2VqxYAUBWVhZGo5HBgwfz\n3XffAfD9998zbNgwevfuzZ49eygoKKC4uJiEhAT69evnqmoJIcRlQZt4CMVoxOrnj+pX2Xn4441J\nAMTGRNSZ+AUgqySb3ekH0CpaRrUe5rL6igvnshb51KlTefLJJ5k2bRqlpaUsXLiQHj168Nhjj/Hx\nxx/TsmVLJkyYgF6v5+GHH2b69OkoisKcOXPw8ZHHNkIIcUFUFRQFr3+9CEDZNdfZN5WUmUlOK0Cr\nUbh2YJs6D2WxWnhr9/uoqkrPkG54671cVWtxEVwWyN3d3Xn11Ved1q9cudJp3dixYxk7dqyrqiKE\nEJcFj9eX4PHe2xSsWoPmeDIApXffa99+9HQBqgqtw3xwM9Tdz2hr+g5Si9MJ9gxkaueJrqq2uEgy\naYoQQjQTXq/+C6WkhICrRmJp3QYAa5XH6odO2uYj79jKr85jbU3bweoDnwJwU7dx+Bi867/Col7I\nGAIhhGgmVPfKPOnaE8m2dX62oJ1fVMbPCbZe7J1b155wy2gyEnd4AyoqfUN7M6KtZHFrzCSQCyFE\nc1BSglJc7LBK9fCwd3TbmZRFcamZjq386N0huMbDWFUrb+x8jyJTMZE+EdzdfRo6TeMe7nu5k0Au\nhBDNgDb5mNNsZ6WTbgatLQgfS7UNg+rbKQSNUnNv9a1pOzheeBIfgzf3dJ+GUktZ0ThIIBdCiGZA\nk5PttE71rhwBdCy1AIA24b5O5exl8o+z5mAcAOPbXk2oZ0g911K4ggRyIYRoBjSnU5zWqe62jG3l\nJgspmcUoCkS1qHl47zfJP2FWLUSH9GBguOTzaCokkAshRDOg3xIPgLltu8qVBlsg/31PKlZVpXWL\nmoedJWTsZl/2QfQaHVM734hW3os3GRLIhRCiGdCcOgFAyYxZ9nWq3jZJ1a87TwNw7cCoavctMhWz\n+sAnAMRGDpOhZk2MBHIhhGgGtCm2oWXmAZVDxbTHkzFbrKRkFaMAPdoFOu1nsppZd+hzyizldA7o\nwPXtJDlXUyOBXAghmgFNiu0duSWiFdaKTm7W8HDScoxYrCohAR64G5xzgK0+8Ak7MnajUTRMaH+N\n9FJvgmoM5OXl5axfv97++ccff2TWrFk899xz5OTkNEjlhBBC1E23bQuaQluvdDUgkNyf/6DoyWco\nmTWHkxlFAESGOD8u//XUX2xL34lOo2N+zGxa+7Zq0HqL+lFjIF+wYAG7du0C4NixY/zzn/9k5syZ\n9OnTh6eeeqrBKiiEEM2Sqtp6mlssF30o76ceq/ygKFij2lAy72FUbx9OptsCeatQx0C+L/sQcYc3\nAHBd26to69f6oushLo0aA3liYiLjx49ny5YtrFy5kr59+2I2mwkLC+PEiRNs3bq1IesphBDNitvn\ncQRFdyUkPADtnt0XdSzT0BEAWIMdx32Xlpv5c28qAB0iKvOrb03bwf/teg+LamFEq8GMiRp5UecX\nl1aNgVxVVVJSUkhJSWHTpk106dKFU6dOkZKSgtFoJCXFecyiEEKIc+P1/EL7svfTj1/cwSpa9cZZ\nf3NYvedoDgVGE23CfOjWJgCAbek7+eigbTKU4RGDuLHDdYimrcZAHhYWhk6no7CwkICAAKZPn87E\niROJjIwkLCyMCRMmNGQ9hRCiUdMcTyZgSD/cP3Ceqrk6li5d7ctKYeFFnVsptj0+V70c5wtPOpUP\nQHSHYBRFIa8sn9UHPsVkNTMgrC9TOk1Ap5FJMJu6GgP5okWL2L59O8nJybz55psAHD16lOeff57n\nnnuuwSoohBBNgeHH79AdTsTnkXkYfvq+zvJWn8pUqZr0NFDVCz63km+bnlT1dnwPnpRiC+TtW/lR\nZCrm/3atwGQ10TO4K7d3nSI91JuJGr+KhYeH88wzzzisa9euHRs2bHB5pYQQoqlRjCX2Zb9bJpGZ\nUVBreU1F8AXQZqTj8Z/XKHlg/gWdW5t8DABrVBv7uqISEyfSC1EUaBfuy4aj/yWlKBVfgw+TOl4v\nQbwZkXHkQghRDzR5uQ6f3dZ/Umt5pdAx0HuseOfCTmw0otu3F1VRMHfuYl+97qfDWKwqXVoH8Fvq\nb/ya8hcKCnOjZxDsEXRh5xKNkgRyIYSoB0qR43tu3/vvdS6kqlAx1aiSn++wydy7j1NxTVqqvXxN\n9Fs2o5SXY+7ZGzXAlrmtrNzC9kOZAIwe6sOGo98CcF27q2npHXZuFySajHMK5IWFhZw8edLhPyGE\nEFXUEXABfO+cRuAVvVFystFUBPLCxa/ZNlodx5NrjyYR1Ksz/uNG4/Z5XI3Hd/vmfwCYhg63r/t6\n83HKTBaiIrV8nPwRKiqxrYYyts2oC7ky0cjV2V3xH//4B+vXrycwMBC1ojOGoij89NNPLq+cEEI0\nFUpZmdM631tuovSeGZSPseUvd/v2K9u/33xlf7R+Zuy3clagNvxo6zCn37ML/cx7AMjam4QaGlp5\nzuxs3N9/D4Ds8HFY/ijkSFg5//0zGQCftsfJKC2mvV8brmt3dX1dqmhk6gzk8fHxbN68GTc3t4ao\njxBCNE3VtJjdfvoBt59+sHV8Kyqq3GAyoZSWour1qH5+lfurqu0/jQYlK8tefCTwC0CPDjWePubl\nJ/m/7m8Rd72tpd+pfwZHSveioHBr18m46+RveHNV56P1qKgoCeJCCFEHpdy5RV6Vfmu8fVmTngaA\n6uuLWjFnuCYvj5AWfvhfNRIlMxOvpa8AUKJ3p8OgW+o8/+0Ft1PyVzHsKsKrWwInlQQUFK5vN5YW\nniF17i+arjpb5GFhYdx666307dsXrbZyovl58+a5tGJCCNGUKKWlAOSvWovfnc6B1+27r+3LmjRb\n2lSrrx8Y9ADo9u0BQL97J4bXX2N57L3sat2bNL8WmHQGAk/uJufUvmrP3VfTiWhrNABDd1j4ckKG\nvSU+KLxf/V2kaJTqDOT+/v4MGjSormJCCHF5q3i0rvr4YPX3R5OX57DZ8OMP9mVt6mnSfEP5su8U\ndv5ZRPbf1tIm8xhleneMBk9KFXfy+vjbyweVF/KQhx9P13Dq26z325cjDgXRMTGKybfdSIR3eP1d\nn2i0agzkqqqiKAqzZ89uyPoIIUSTdKazm2pwwxoW7hDIlbxcNCePA1Bs8CSh3JtVk54n3T8MCi1g\n8OBARDeH4wUXZHJX4W5atGtJwKj+tHjjT9YFtmBfTrpDuS6e3Yg2Rjusu/brWCJmSRC/XNQYyO+8\n804++OADunXr5pAB6EyAP3DgQJ0HX7x4Mdu3b8dsNjNz5kw2btzIvn378Pe3fdOcPn06I0eOZMOG\nDaxatQqNRsOUKVOYPHlyPVyaEEI0oDOd3dwMqJ6eDpv8bp2CoqpsaxPDousfo7yi41kLUwETx/ak\n250TSWrRnlY5p/ArKcCi0RKel0rZvIcwPjQH5chh1ky9gtD2oex78X8Ox55pnOFclc0lFP9RiNcQ\nH9dcq2hUagzkH3zwAQAHDx68oANv3ryZw4cP8/HHH5Obm8vEiRMZOHAg8+fPJzY21l7OaDSybNky\n4uLi0Ov1TJo0iTFjxtiDvRBCNAVnOrupBjdUN3eHbfqt8Wxr25dXrplPuc6NzqcP0v/oNgY+cR+e\nfdsSnHOCtlnJTscsCY+g2GRkWfqXHJ8QQzAQ1TqI4yeyAehi6EV0ebTTfgAZL5+m7ZDO9XqNonFy\n2bQ3/fv3p1evXgD4+vpSUlKCxWJxKrdr1y569uyJj4/tm2NMTAwJCQmMGiWJC4QQTYd9HLmbAQwG\nh207Wvfmxesfx6zV0zXlAIs+eRKtaiVz8AoA1MBAh+FmZ5yI8OOdhLc4XZqBT0EJc5dtJO9ENmea\nQjPL766xPsY/i6RVfplwWSDXarV4VjxeiouLY/jw4Wi1WlavXs3KlSsJCgri6aefJisri8DAQPt+\ngYGBZGZmuqpaQghR7wz/22CfuEQ1uKG6V7bIP+97AyuH34mqaBiWvpd53y1Bq1od9rcGBqE5K5Dn\n+Xnwum4PucUl+Bt8+effVxOcbRuLPkKrpVDTiWhT9a3xM6RVfnlw+US0P/74I3FxcaxYsYK9e/fi\n7+9P165defvtt3njjTfo08cxv7B6DlP5BQR4otNp6yx3KYWEyLfg8yX37MLIfTt/9XrP8vPhntvs\nH4NaBoGvbTrRg+GdWTXsdlRFw9S/1jHVLR1teAvIy3GsR2BA5fGuvJKC+N95bNEkctUS2gW0ZuHI\nB/H0+QQqAvmzFgsMDGTkH7Hw4YdwW+X5XUV+zy5MQ9y3OgN5fn4+b731FpmZmbzyyits3LiR6Oho\nh1Z0TX777Tfeeust3n33XXx8fByGsY0aNYpnn32Wq6++mqwq30QzMjKIjq79W2ZurrHOc19KISE+\nZGYW1l1Q2Mk9uzBy385ffd8zbeJhqv41zCosx1vVoFc0LBr/GBaNjqt3f8+tf63D1LsPKhr7H94z\n9fANbsGZtFvps+awMkZPbqAXEfpA7upyK8X5Zkq+/Jag3rbZzUYC1p27AMg3KZS7+HdAfs8uTH3e\nt9q+ENSZ2e2pp54iPDycU6dOAVBeXs5jjz1W50kLCwtZvHgxy5cvt3dcmzt3rn3Clfj4eDp27Ejv\n3r3Zs2cPBQUFFBcXk5CQQL9+ksBACNE0aDIch4OpBjdQVXa06UOOdyBhxhxmbVwOgH7XDtA4/9kt\nfmgBZaPHkPvDL6zyTyUhJgp9uZnpUdcT5GFrrVvDW5K9Yz9l14y3nbfY1jo/u4e8uPzU2SLPycnh\njjvu4IcfbMkMxo4dy0cffVTngb/++mtyc3N58MEH7etuvPFGHnzwQTw8PPD09GTRokW4u7vz8MMP\nM336dBRFYc6cOfaOb0II0didHchxc8Noho8q0qqOTvwVXcXMZqrBgFpNILf07EXB2vVsPPkb2w7v\nRmeFBXsNtBjrOLbcGtEKU9/+uH39X/s61dOrnq9INDXn9I7cZDLZx5JnZWVhNNb9aPvmm2/m5ptv\ndlo/ceJEp3Vjx45l7Nix51IVIYRoPCwWPF+3TUNqiu5D0fMvgUbDiqB+JPl3wNeYz5j4L+3F89eu\nRx//F/o9uzD1u8LhUIm5R1h/2Bagx3e6logrR1R/zrOmO7VPuiIuW3UG8ttuu41JkyaRmZnJrFmz\n2LNnD08++WRD1E0IIRo1n3mz0e3fC4Bxwd8xDxxEcamJP3zbo7FaeOnjJwgqzgXA3LETpmEjMA0Y\nhLlzF4f5w3dl7uPdvR8CENtqKFe2riGIg0PGOFPffli6dHXFpYkmpM5APm7cOPr06cOOHTswGAw8\n//zzhFaZD1cIIS5Lqor7J2sBKB8Ra59zfN2PhzFrtEQf30lkbkpl8TOPwA0GysdPsK8vt5TzaeKX\nWFUr3YO6cF27q2o9rTUo2L5ctPg1qJJ5U1ye6uzslpSUxEcffcS4ceMYPXo0r732GomJiQ1RNyGE\naLS0+/balwuXLgPAbLGy5WAGAPdtfMdxB3fHbG9gG267fPcqcsvyiPAOZ1avu3DXOZerquTuezH1\n7Y/xgfmYe/a+yKsQzUGdgfy5555jxIjKxzw33XQTL7zwgksrJYQQjZrJRMB1YwAw3jsTa0QrAE6k\nF2EyW4kwZttb46WTbH2FjDNmOR3mcN4RDuYexl3rzu1db0aj1PknGby8yPvmJ4qferZ+rkU0eXX+\n1lgsFofhYP369TunpC1CCNFcebz5H5SKTr8lc+bZ1x9JyQego942N7k1KIjC/7xF9uYdlF/v2NHX\nZDHx1THbaKDYyKFE+rRsiKqLZqjOd+Q+Pj6sWbOGAQMGYLVa+e233/DykuEOQojLlz5hu335TGsc\n4MBxW8e2NlcNocj3GcpuuBG0Wqzt2jsd45vkn0jKO4ZBa2BIyyuctgtxruoM5IsWLeLVV19l7Vpb\np44+ffqwaNEil1dMCCEaK9XDA4DCRa/Y151IL2RnUhY6rYYeXVtSMuDhGvdPL85g06nfAbi3x20E\nuMtsj+LC1RnIAwMDefHFFxuiLkII0ehpTp7AbcPnAJiuGGhfvy/Zlj99cI8wAn1r7rCWVZLNK9uX\nUWYpp6N/O7oHdXFthUWzV2Mgf/DBB1m6dCkjRoywJ4OpatOmTa6slxBCNEreC59AMZkw9e2PpWcv\n+/pTGbaUqW3Da85MmVxwgv/buQKjuYQO/m25u/utLq+vaP5qDORPPfUUAGvWrGmwygghRGPn9tUG\nAPTbtzqsT06zTY7RKtS72v0Sc4/w/r61FJuNRPlEMrPnXXjqPVxbWXFZqDGQBwfbkg68/PLLLF26\ntMEqJIQQjY2SnY3fbVMom3iTfZ1qMNiX84vLSc02otNqaB3q3CLfm3WAt/d8gEW1EObVgodiZqHX\n6huk7qL5q/MdeatWrYiLi6NPnz4YqvziRkZGurRiQgjRWHi8txz99q0OrfCC9ysnj4r7OQmAjq38\n0OscR/VuPPEr65P+B8DAsH5M6jRegrioV3UG8q+//tppnaIo/PTTTy6pkBBCNDb6LfEOny2t21B+\n5dUAlJksxB+wZXO7dUwnh3J/pMTzWdJXAIxpPZLx7a5Gq9E2QI3F5aTOQL5x48aGqIcQQjRa2iOH\nHT6be1WmRk08mYfZYiWqhQ8tgytzbOSU5rIu8XNUVMZGjWJ8e5nhUbhGjZndioqKWLx4MbNmzeK9\n997DbDY3ZL2EEKJxUFU0WZkAlE65BaufP0ULn7dvTki0bevRLtC+rtxiYu2hz7CqVmJCe0kQFy5V\nYyB/9tlnAdu84klJSbzxxhsNVSchhGg0dPGbUcrKUN3dbelW9yVhbdMWgGOpBfy68zQAMZ1C7Pts\nOPoN+7MPodfoGNfmyktSb3H5qPHRekpKCq+8YstaNHz4cO66666GqpMQQjQaXi/bMlmqnp62KUOr\ndPpNSMxEBYb3bknbcF8AjuYf57dTf6GgMDf6Plp6h12KaovLSI0tcp2uMsZrtdI5QwhxeVKMtkQv\nRVXSsZ6xvyKb25nWuMlq5t09H2BWLQwI70t7/zYNVk9x+aoxkJ+dza267G5CCNHkbNuGkp2NUliA\n762TMVSkW62JYiwBwNyxs8P6tBwjyamFaDUKnSNtudLjU7eRX15IuFcLpnW+yelYQrhCjY/Wd+zY\nwciRI+2fs7OzGTlyJKqqoiiKpGgVQjQ5hm++gjtvwWfsNZi798Tth+9w++E7MjMm1rxTqS2Q41GZ\nP91ssfLqup2oQJ+OwbgZtBwvOMmniV8CtqFmMsxMNJQaA/m3337bkPUQQgiX0u3eid+dtwDg9u3X\nYLGc035KiS2Qqx6e9nWHT+aRXVBKqL8H91zbFbPVzOdJX2FWLfQN7U3/sD71fwFC1KDGQB4REdGQ\n9RBCCJdR8vMIuHK4wzq3H747t30rWuSqu61FrqoqG3ekANCvSyh6ncLrO98mKe8YHjoPJne6AY1S\n41tLIeqd/LYJIZo9j5Xv1l7AZKp2tfZwIpq8PFSdDtXblkN926FMth/KxKDT0KerL2/seo+kvGP4\n6L2Z2fMOfAzVT5oihKtIIBdCNH2qipKVVeNmw3dVUk1XM6Oj/zVXojlx3Gm9x7J/A2Bp0xYMBspN\nFr747SgA40YE8tnJj0nMTcKg0XNvz9vpGND+Ii9EiPMngVwI0eR5vfAMwd3a4bnoeZSCfKftSkEB\nAIWvvg633OK0Xb9rB97PPOm8ftsWAIr/vpCycguvfryT1GwjfsGlbCr+hOSCE/gYvHniivl08G9b\nz1clxLmRQC6EaDKU/Dz8x1+N1wvPVK5LT8fzDdtUy16vvYLvHc6BWjEaASgfOQqA3K9/dC5TWGhf\nzi8qY+++U2Sl56Lq9Zy6YgRPvruZw6fy8W2Rj7X975Rby+no345H+s4hxDOoXq9TiPNR56QpF2Px\n4sVs374ds9nMzJkz6dmzJ48++igWi4WQkBBefvllDAYDGzZsYNWqVWg0GqZMmcLkyZNdWS0hRBNl\n+OYr9PF/oY//C+MDD6H6+eM7d6ZjmT9/h5IS8PCwr1OMxQConrZJTcz9riD1lWUcevdjjoa2xaQ1\nUNyhC7lxuzEayziWkodJ0aK5+03aFKWTumYXpWoh3l2OYvI9BSr0DO7Gnd1uxkPngRCXkssC+ebN\nmzl8+DAff/wxubm5TJw4kUGDBjFt2jTGjRvHkiVLiIuLY8KECSxbtoy4uDj0ej2TJk1izJgx+Pv7\nu6pqQogmSikrsy97vvYKxrkPYdjkPEOj7tABzNExlftVtMhVT0/i96by4TcHOJ4WAdfMd9wxqeI9\nu6IlMusEKYERHPVticY9DfdOO7AoVhQUBrfsz9TON0rvdNEouCyQ9+/fn169egHg6+tLSUkJ8fHx\nPPfccwDExsayYsUK2rZtS8+ePfHxsfUIjYmJISEhgVGjRrmqaqIxMZuhtBRCfC51TUQToJQY7cu6\nXTvQJR6stpz+j9/tgYaxJxMAACAASURBVFwpLEApK8Pq5savh3L44PtErFYVrUYhJD+d0Nw0ep7c\ni1d0D5SbbyZ4/mzaHdlFaGEWiVGtWP3wZA6G2oag9Q7pwU0driPII7Da8wpxKbgskGu1Wjw9bQkU\n4uLiGD58OL///juGigkHgoKCyMzMJCsri8DAyv8pAgMDyczMdFW1RCOiST1NUO8utg/JyeApfxxF\n7c4kZwFbBzbtsaPVlvNcspjS2+/E4u2L9WAiAN+OuIX3vz0EwIjolkwd3ZFWEQGVO8V/QonpJNp9\nm9jdqxVrhkSzpX9bzPoStIqW2Mih3NB+nLTCRaPj0nfkAD/+P3vnHR5Ftf7xz2zPpndSSCAkhB56\n71ItgCBSFBSxolgu9qtXr977s+u1FywgoFIsYAUVkF4DgQAhlFDSe92+O78/Jtlk2Q3NJJTM53l4\nnDnnzNmz42TfOee87/f94w9WrFjB559/zqhRo5zloih6bF9feV0CA/WoVJe3/GGoPMM8N/c8VXv8\n7LOEfvnlpRvLFUyzetaEWjU2dVUF6rxM6eS556TVHVEkb8m3/NiqP6fe+pmD2lCsKAiZ/Qn5/mEA\nTB+VyJSRiSgUrvkjTsQG85PuKDs+uQ2TV22Gs4HqaKaOuocwn5DG/36XMc3qOWtAmuK+Naoh37hx\nIx999BGffvopvr6+6PV6TCYTOp2OvLw8wsLCCAsLo7BO/Gd+fj5du3Y9a78lJYaz1l9qQkN9KSio\nOHfDZk7Qtu04X8fWr5fv2UXQ3J4176JSnEKpx49j2bINDVAeHo35pims25PF14Ye2M7QOa8x4sO6\nRTFlZCJFRVJGM98bJyH8vJLPZw1gw6C22KsnCDHlIv1+3Um/bcfQf7wUq1FLgbH53OczaW7PWUPR\nkPftbC8EjWbIKyoqePXVV1mwYIHTca1///6sXr2a8ePHs2bNGgYNGkRSUhLPPPMM5eXlKJVKkpOT\nefrppxtrWDKXGOXhNES1GtE/AGVOtiR7KYoIp0+jPHYEe5uESz1EmcuYGqe1GjR/rQMkwZa1yZks\nWZOOqFAy5NBf9D6+k4TcowAcimxHyNuvEtHVdSZ+/OX/sOT6SI54S8pu1/x5kOt/3kdo2+6Yx96K\nWrubit59m+jbychcHI1myH/55RdKSkp4+OGHnWUvv/wyzzzzDEuXLiUyMpIJEyagVquZN28es2fP\nRhAE7r//fqfjm8zVhWp/CoHXDAKg6ul/AWDr2Bn17p0AqNf9KRtymbNypiGv4aAunMU/SXvh13cM\n5J4333KpjyjLpaBrO5ey/YUH+TrtW8q8rXhXmnjqlV9peyQPgNL352EdMAjTrDsb4VvIyDQsjWbI\np0yZwpQpU9zKv/jiC7eyMWPGMGbMmMYaikwTo9qzG8XpU1jGuaaGVKYfdh57/98LANhjY7G3ao3u\n22UIVluTjlPmCsNqReHBETa190je/l2SVx3bN4aJ/Vqes6s9+fv5NHURADHKQJ56/B2Ci6VYc1ub\neKwDBjXgwGVkGpdGd3aTaV4I+fkEjh4GQPHmjtgT2tbWlblLZ4rePoj+1ZoBVkuTjBGDAUVJMY6o\n6Kb5PJm/h9WK74P3oft2mVuVTaHk3V63YDTb6Ng6iAkDW4NKiaj3dorAADjq6FL8eWwTn6VKeuvD\nWg5knH8vgotfctaX/vBrI34ZGZmGR46jkGkwhMJCQjrFO88V2Vku9QoPGtii3htRLb1PCvVkoGpo\nQlu1ILhbB/Sv/BcA1a4d+Dw0B9+598J5RE3INC1en37sZsQtg4YgAm+OeZhsbQBhAV48dFMX1NXO\narb42i2ass8WUbJuCwCphYf4fM8yREQGR/VnUvwNaMIiKNqRQvHmXRRv2Y0YHt5k301GpiGQZ+Qy\nDYZq3x7XgjOMoucZuTcoqz2Mm8KQ22qX773feAXzuBsJvHaEs6zqqWdxREY1/jhkzhv1zu1uZdYe\nvfirWMXGdoPQYmfWte1QKWvnJebJU1Dv24u1W3csN4wHYEv2DpakrQCgR1gSUxInONs7WskJT2Su\nXGRDLtMgqLZvQ//u/1zKBIvZ9byeGbngkGKDBVvj7pEr8nIJ6tXFpSxgnKtvhvLUSdmQXy44HOiW\nfInyYCoAppumoP1uOVXP/YdNHYfwvmIgAFOGxpEYE+hyqfHOe3H4B2AZNQZRFPkqbQVbciSnyjEJ\nQxkdObJpv4uMTCMiL63LNAi+jz6IZvNGlzKhsrL2uLAQ5TEpFMh83ThnuRgQgKiuFt+wNO4eufcL\n/0IwmVzKFGWlLucB48YgnFEm07Qo8nIJuHYEoS0C8J33IKrjxwAwzbidwpN5GO69n5VHJIW3oV0j\nGdwnzr0TpRLz1Fsw+Ol5Y/cHbMnZiUJQMCp2GLO63YxGqW7KryQj06jIM3KZBkF12IPmdU2CC1Ek\npEPtj621Vx+0P68CwBEYhMJoxKjWcdqhZevWE9jsIl3jQ4ht0bBhiKrUfefVTnn4MLbefRr0s2XO\nH69PPnTmAa+LtVcfUKn4bftJMgsq8fPWMG1EWxSC4KEXyKrM4fPUJeQa8vFSeXF7h6l0CmmPUE97\nGZkrFdmQyzQ4xhmz8Fr0RW2mqqoql3pbNymZhQhstAfxU7mWrLnfSJV/SdrZqzZl8MCkznRLCG2w\ncSk9vWwApvETsfXug88/nwDgp+QctqXuQKlUMCgpgkFdIlAq5MWrpkJ5IsOtzJbQFlQqDCYr32+Q\nnpHJQ9ugVnn+/1JoLOLjfQsoMpUQqA3gke73EewV6LGtjMyVjmzIZRqUss8Xo94iLbHX7JGf6a1u\nDAxh48tfsrpAxck0K1Crax0d6k14kJ7dhwtYvye7wQy5UFGO4HAAYOvQiYpX3yLwemmf1Na7D5a+\nA7ALChYMmskPpX6AtC2QkVPO5n05jBvYms5xwQ0yFpmzo8jLBcAe3gJl9THVL1I70/Kx2UXaxwYy\noHOEx+srLJW8uutdqqwGonwi+Ef3+9CpdE0ydhmZS4E8zZBpEBy+fgBYBw8BbfWPpkky5EJp7Z6z\nXVDw8uZiPsn346Sox0+vZlZIOZ/Nv5MXVjzHa0eWM7NbEIIAh04Wk19qdPusi0G9eZM0vl59KFm/\nBVHvVOzGlpCIvXMXVna/gR96Sp7Mt25azMyhrdCqlRzLLuetZSl8v+EYNrvDpV+hrBTfO29Dt/Dz\nBhmnTK1vRdlXK6h66lkAqp75N1kFlXz95xEA+nbwHCJmd9hZmv4DVVYD0T6RzEm6QzbiMlc9siGX\naRBqZt+iWoOo1biU1czIRWBJ/+kcLzAS4KNhxqi2vHxvP4YO70RYRSHdTqXg8/knxE4aTe/24djs\nIsvXHW2Q8dXM8myJ1TKdei9nnRgcjM3u4McBNwPwyK//Y8qOFYw5upEXZvXkur0/A/DjlpN8+tNB\nqky1YXLald+jW/U9vo/VShHL/D1qhFxEb28MjzxG4ZFTWEaP5fuNGVisDlpH+NG7HkP+5aGl7Mnf\nh0pQcnvHaQRo/Zty6DIylwTZkMv8fUSx1uNco6mdkVeX1cSP74jrxfI+NwEwc3Q7hnWPRqdRYY+L\nd+lOefoUk4ZIznEHT5TgcPx9kZaaWZ7o7QOAPayFs87hH8DSP49SqPImpLyAIWkbAPD9x1yiV3/P\nvWvn88wP/0UtiOw4lM9rX+9xjklRXOTsJzTMD83PP/7tsTZ3hBqfCm9vAET/ALYeyCU5vQCVUuDB\nSZ3Rqt3TGCfn72NX3l40CjVzu91NhLcs7CLTPJANuczfx2ZDEEVEpRKUSkSNFsAZ6iWUlnAgqgPv\n3vAPACYMbE3XhPpzOw8FOiSE89ObE1j+0vW0aOFPWJify78JE669oCHqllc702mq9+N9fKh89gWM\ns++mKiySjfuzAXj0lzdRirXL534PzQGgz/Gd/Ofrp9BplJzKq2TT/hzpuxW6an/7z7oFRW7OBY1N\nxpUaQ16z/VFWaWbBr5Kj4ujeMfj7aN2uKTGVsvDA1wAMbzmI+ABZ4EWm+SA7u8n8bXRLvpQOtNIP\n7JlL67aiEl657lHKlF7ERfoxtm/sWft7Hhh2js987LGnLmiMqmpREfXG9c4y41xpOXzTrtNYrA4S\nKadj9qF6++iQnUbaqn+RenAPP71Z/2fFXzeAYe/MRkAgMTCeUbFDCfcOu6DxNktEEfWmDQiGKkS9\nHtHbB4vVzhe/pmG1OUhqE8zEwe4x4w7RwQ/HfsEm2ukc0oHr40ZfgsHLyFw65Bm5zN/G9/FHABCF\n6sepZmndbKbSaOXtbG9KfIJoqTDx5C3d6w0ZqmEo0L//wHrr+/cfyICLzE5V9fRzLud5xQaWrZX2\n4a8xnTzn9e8c3HPONlG396PUXEaJuZRtubt4e8/HZFZkX9R4mxP6t98gYNINAFj79AOFguXrjrHv\nWBEqpYIbB8d5jAFfe3oju/L2ohAUjIsbI8eJyzQ7ZEMu87cQSoqdx/bqRBVi9fJ1Xl45r3y6mWSf\nGHxMFdzer4WLHrYL2trlUkdQEPPmPVHvZ17obFx58IDUr38A1sFDXep2HMrD7pAEaHrNvB6Hnz+G\nu+5F1Ht77GsY0LN3/3o/KyIhnLmpWczrMYcnej1IrF9LyiwVvL77PbIrcy9o3M0FobIC5ZF0Z2pb\nkPLV/7z1BH8mZ6IQBB6d2pWYcHeBIIvdyp+nJJ+GGe1vJtKnhVsbGZmrHdmQy/wt6op3mKZOlw50\nOuyCgleiriGrykFYWR6vlv5F60Hd6+9o7VrsrVpzNC6Up54YwTLbr4R1cNc8v5jZeM3+uHn8RGc8\nMkB+qZH1e6WZ8uCkSMS4NhSlZVD131ex9ujp0oeorpX0/OcT9b9ITAzox0njIAw5WmJ8o5nb9U7a\nBSZgddhYcWQV9mpd+WaPKILZjM8/5hISF0XQgNr7bbx9Nqej2/JdtfDLzcPjadsywK0Lh+jg430L\nKLdUEOndgl7h3Zps+DIylxOyIZe5aPRvvurMPQ5guuNuABxqLV/1m0pmcEsCK4t5/evHCWzf5uyd\n9e/Pmm/n8+IzN5ARG4RDdNB+krvh7zCpByWm89dCV+3cjv79twEwT5rsUrd4zWFKKsy0jvClU1xQ\n9QWS24gqZa9L27Kl3zuPB3TrQd++7rPyoOiOnBx0O+s6DOOtHw7y45YTaJU6bu84DS+VjsMlR1l5\nTM51DRBw/ShCW4bitXihS7lp6i3kPP8K7323H1GEwUkRjOrV0mMfO3P3kFZyBL3Ki1vbT5aX1GWa\nLbIhl7kohLJSvF/+j/Pc8MDDUP1DutekZVlfKSZ7xuYlBBrKMI+9/qz95VcWsujo9xj1GvpvOcob\ng17gi3s/oVP3WmMe2j6Csigzr+x8h30FB85rnAGTa1NV2mNbOY+rTFYOnShBIQjMndTFbcm//IvF\nzmOHtw/WgYNxBEizQmH6OFpc7/5icuO0OdyuOMmI1D8QEfh+w3G27M/FV+PDnZ1mALAlZwcWe9Pk\nXb/sEEX0r72E1wfvekxNCuAIDuG37afIKTIQ6Ktl/EAPCVGA/YUHWXRIylE+vs1YYv08G3sZmeaA\nbMhlLgplxnGXc9PE2tnu7nIpxnf0vtWMPPAnAI6WMfX2VWGp5JVNH2IT7fTdkcFD7/yBzg4+am+e\ne/rfznbPPvYSsb4tqbBW8lnqYrZkuyfWOJMacREA0cfHeZycXoDdIZIYE0CAh3Am66AhFCUfoPJf\nL1KULjnBKUpLOdSuBfPu7ow63pvIdpHO9v37D+Slx2Yw9OahPLTmPe746wsAvv7zCEczy2gXlECM\nbzRGm4ltObvOOe6rEVXKHrxfewmf5//pUu4IrpW+PRYcy5+7MwGYc2MnAn3d/9+Umcv55vD3iIj0\nadGDfhG9GnfgMjKXObIhl7kozjTk9k6dnceHyqWZ+ajUP2ob1LPsKYoiPxz9hdNl2fhpfLn1230I\ngGCWYtCHDB5Cq7bdCIruiFnVgUd73s/gqH7YRDtL0lawK/fcXuTOz6oWgzGYrCxfJ6XG7NWu/rAw\nR3RLjA88BNX741smD+Plx8di1GuJNWn4IKvW0a/GAc/RSopfHr97FV2ClRjNNhb+loYoigyMlDKq\nfXv0R8rM5ec97qsFzWrP2woVr/4PS9/+WPTevG5PwGJz0CkuiDaR7qpsdoedt/d8TKm5jJa+Udza\nfjJKhbs4jIxMc0I25DIXxZmGvIaUo4XkGRzozVW0yZOMpXHGrHr7WZr+A9tyd6FUKJnb9S6CjZIY\nS9284Y8//hRt+00l/XQpCkHBzW0ncEPcGAAWHPyGzVmel2ndBy394B8+XUql0UrLMB8GJ0We4yKJ\nQmMR79/UEaNeS/fdJ3h+dTHjK0wMAQbGtnJxwLMMGoICkYfb2PH31pBVWEVyeiH9I3vTLjABm8NG\nynluDVxNaFd+57Hc2n8gxctX8dqbv1FstBMW6MX9Ezp7bLsjN5k8QwGB2gDu7XI7CkH+CZORkf8K\nZC4KxckTzuO6hvrX7acAuGnHtyhFB1X/eJzKN9722Eda8RE2Zm1FISh4pN+dRPq0QJmfB4D+jVec\n7cZfO4rw2C7kFhkwmm0IgsDo2GEMiR6AiMiyIys5VJTu1r9Q4XnWm5EjlXeKC0KhOLeDVIGhiDd3\nf4BVtNFn+zEef/03vL9ejCMkhOeBR5/5t0t70UcKk9JUlTOiZzQA8386QEmFmV4tJM/qnXnJiOLf\nl569UlCcPIHq6BFEpZKiHSkudWJQEBsPFbAtvQilQmDq8AS0GvdZ9pGS43x1+FsArm09UtZRl5Gp\nRjbkMheFMjsLgMr/vkLla28BYLU5nEZy9P7fARCsnh27jpQc5729nwKSpGbv6K4u9V4LPnMeq1UK\nokN9EIHT+ZJmuiAI3Nx2PH1b9MTmsPHBvs85VZ7p0odQWOjxszNyKgCIi/A75/c0WI18eegbyiwV\nRPlEcOdnG1FU219FYSFDgQHXjHC5xt5G0o7XbNnEmD4xdGwdhMXqYN2eLDqFtEclKDledpLfT60/\n5+dfDSgyTxPcqwsAjhYROFq1pmzJMme9CKzdLT1PM0YnepTvFUWRlcd+xSE66BramT4tzhLKKCPT\nzJANucwFozh+DM1f6wCwte/ojM0+kVuO1eYgKsQbP5NkLIVy91lxZkU2Cw5+jYhI34iejKteJgcw\nTZhY27DOS0BsC2l/+0ima+jZtHYT6R7WBYfo4LXd77E7rzZszJl8Ayj5SXqxKN9YhmWb9DLQ+hyG\nvNJaxf/teIvjZSfRq7yY2/UuvFsmuLQRBcFNPMZ84yQAtCuWoTSbGTegFQB/7c3GYVUzJVH6jhsy\nt+IQXdOiXo2o9tb6MRgefRIAy4DB2KNbYr5hAivWHyOzoBIfLzX9OnoWdFl57Fcyyk/irdIzQ94X\nl5FxQTbkMheMZt2fzuO6eb1TjkqZwOqKdwjlrobXYDXy3t5PKTWXEendgqmJE11+lCs+WYC92mFM\nmVare96pteTZ/OPmE+QVG5zlKoWKaYmTSAyMxyE6WJy2giPFx1Dt3omitAQAa8/e2HpLjmZHnz9J\nt7/UtAjSe/SIrqHIWMxrO9+lxFxKmD6E+7vOxlfjQ+mKVS7tBFF0EZkBsHVOwpbQFkVZKar0NOKj\n/GkXE0Cl0crKTRn0jehBsC6QEnMpqYX1a7tfLahSpaV0w70PYLplplSo11O8I4VT//uENTtPAzBr\nbDuP8r15hgL+OPUXADe3HS/nF5eROQPZkMtcMF5ffu48doRKXt+FpUZ+q94f71nHE7zujNxoM/HR\nvgVUWCtp6RPJI93vRa1wz9tj7S6pfKn3JjvLeiSG0r1tKBabg+QjrhnH9Gppttw1tDMWu4V39nxM\nykv3ob5VmvmK1ekwqzZXoN1vpWWmiok+EfUKiORW5fPhvi8oNBUT4hXM/UmzaeUnhc+JdUKlzoYj\nJFT6/pWVCILA5GHScvu+o0UICPSP7A3Al4eWYbQZz6vPKxXlUUnL3pbkun3iUChZ/PsR7A6RHm1D\n6dY21O1ai93qDDXrH9Gbni1k9TYZmTNpVEOenp7OiBEjWLxYEtd48sknueGGG5gxYwYzZsxg/fr1\nAKxatYpJkyYxefJkli9f3phDkvmb6D77GNWhgwBUPvcfZ3z4wZMlOESRbgkhtI8NdLZX1DHkq479\nyrGyDLxUXszsMBW9Wo8nHBGSJ7lQWjubFwSBjq0l9bXsgiq3awRB4LYOUxgQ2QeHAB/MGc5dH9/G\nmw+NZGOXMCosleS/Wpu4JOBrz8bTaDPx3t5PyanKI1gXxBM95xLidX7Guy41Lw81edBjw33Ra1UU\nlZsoqTAzMmYoMb5RGG1G9hUcvOD+rySUx6XoBTHAVWa1Nse4guv7t/J47eoTf5JechSdUsvI2KGN\nPFIZmSuTRjPkBoOBF198kX79+rmU/+Mf/2DRokUsWrSIoUOHYjAYeP/991mwYAGLFi1i4cKFlJae\nvwSnTNPi+9RjzmPjnLnO46OZZQAkxkhG3PCglHvc8PA8AJYe/p4N1R7qD3a96+zJLaplUgWbq6Nc\nVIhkHLMK3Q05gEapYVroEG5Zso3Ew7nYlQq29WvDxwMCee+TjzFsrXS2NW+vYsfKnc7ZcImplI1Z\n23hpx1uUmEuJ9G7BYz0f8PiyUfrtj4g6aXlX9PLyOBbBIo3d96H7AFAoBGLCpX3+0/mVKBVKp5DJ\nrry9Hvu4GlAeOog6dR8ADt9aL3Ob3eFcwZk+IoHYFu4JUQ4UpfF79ZL6vV1mEaavP4e9jExzptHy\nkWs0GubPn8/8+fPP2i4lJYXOnTvj6yv9IXfv3p3k5GSGDx/eWEOTaQAqn/+vi8hLjRNafJT0Y131\nz+cw3P8gjoBANmZuYUPWVgQEpiVOJMYv+qx9i9WGHJvNpTyy2pBnF1VhtTk87qdqUvcz/se9jP9x\nL0VB3mwakMDeSdcQv7yDW9vSNwt52v8/eKm8KLPUrhwE6QKZ1XE6vhoft2tAUn0rPJmHdsVSbJ2T\nPLYRyqT7oSiuFY2JCfcl7VQpB0+UkBQfQlJoZ1Yc+ZGDxYfZmbvHGZp2NaF/69XaE01t4pkvfkkj\nq7AKb52Kfp3cX+rKLRV8lroYu2ind4vuJAR6lmqVkZFpxBm5SqVCp3N3Slm8eDEzZ87kkUceobi4\nmMLCQoKCgpz1QUFBFBQUuF0nc3lgr172No+/0Vm2eX8OeSVGtBqlc9aJIOAICGRZ+g8sTf8BgHFx\nY5x7w2elJtPYGTNyHy81LcN8sFgdbDvoOSWo/sN3ncfBxVWM/3Evs1N7EXXIXcEt6lAYIfsDKLOU\no1Pq6BzSnpntp/B838fPnQ5TEDBPnoq9XXuP1ZWvvulW1rdjOAB/7c3CaLbhr/VlQvy1AKw5ue6q\njCtXZkvbGbZ27bF1kfbIi8tNzv9/907ohFbt6oFuspn4LHUxZruF9kFtmdH+5qYdtIzMFUajzcg9\nMX78eAICAmjfvj2ffPIJ7733Ht26uc5CzufHLDBQj0p1eYefhIa6LxVe8YgilEtL6MFxUeAnfce1\neyTt8JnXtieihX91U5H3ty9kQ9Z2lIKC27pNZlT84LMqcTnvmb808/ZWK/A+4z5OGBrPu8v2cuBE\nKROvSXTvZO0fbkUFq92dqGqYvu4Goh9tSbhPaMOGNI0cIuVYN5sJ1SvA25vQUF/iIo9wPLsMg10k\nJtSXiUEjWXNyLdlVuZyynqBnVJcL/qjL+lmrkJ4X1fJlhIb7Y3eIzP/5EKIIg7pGMbRXrNsli1N+\n52hpBt5qL+7pM41wv4YXfrms79llinzPLo6muG9Nasjr7pcPHz6c559/ntGjR1NYR7gjPz+frl27\nerrcSUmJ4az1l5rQUF8KCiou9TDOiVBUhHrvbizDR9arhV4XRVYmwVVVOPwDKDIB5gpKK81kZJej\nUSvoGR9MQUEFNoeN5UdWsSlrOyqFihntJtMjoBtF9extg+s98zI78AEM5QaqzriPYX5SyNiJ7DKP\n9/hMk11CEmX76395MGyqwrLWQfGAhn+mgsJboDx1kuLUdOxxktd6kJ+W49mQfryIYL208tAvojdr\nTq7jf1s/44V+T9a7pO+Jy/pZMxoJOXECASgUvBALKli/N4ut+3NQqxQM6xrhNvbk/H38mCa9jN3X\n5Q7UZu8G/36X9T27TJHv2cXRkPftbC8ETRp+NnfuXE6flmJGt2/fTkJCAklJSezfv5/y8nKqqqpI\nTk6mZ8+eTTmsZkvATePwn3YT2hVL629kNkszcUC9S8o2ZuvRszZl6VHpJaxdTCDq6lWS9Zmb2ZS1\nDYApbSdceMiQumaP3F0VLjzQC6VCoKDUiMVqd6nzeq9WCrbqyWewDLuGox3fOOfH5b+Wfc42F4Oj\nRQQAipwcZ1l4oOQcl1fnZfS61iNp498ai91yXhndLheEwkK03ywBg+eXIGVWJoLRiD0mFjEsjFN5\nFXz3l6TRP2tsO1q1cBXkSSs+wpcHv0FEZEBkb1r7u8/WZWRk3Gm0GXlqaiqvvPIKWVlZqFQqVq9e\nza233srDDz+Ml5cXer2el156CZ1Ox7x585g9ezaCIHD//fc7Hd9kGg/9y/9BdWA/ALpvl2GePNWt\njSIrk6ABvTBNnkrla2+h2i0toVt7SN7WBpPV+cPcrVpWM7Mim99OSIIxM9rfTN+IC38pE5XVXutW\nm1udSqkgLNCLnCIDucUGYsKrnxWbDZ8XnnW2M908DcM/HqcV4BBFnvxoK4VlJp67vZdHD+nGwB4R\niRpQ5NS+KIQFSIY8v7Q2/E2lUDG61TA+SMngz9Mb6BbW5Yrw0PZ54Vl03yzBuvAzSn/50/lyJ1RW\nIGp1CNWCPI6QECxWO+9+u59Ko5X4KH96dwh36SulIJVP9n8JQLfQzkxLnNS0X0ZG5gqm0Qx5p06d\nWLRokVv56NGj3crGjBnDmDFj3MplGgm7He83a72J1Zs3emzm9cE7CIYqvBZ+RuVrb6HMkrTM7Qlt\nAdh/vJhKo5VWCxORkQAAIABJREFULXwZ1CUSURRZePAbjDYT7QIT6NOix8WNr8bZze5uyAEig73J\nKTKQXVjlNORCSYlLG0dgrQPluuQsCstM+OrVRIe5yqk2Jp5m5GHVM/L8Etc49vZBbUkIiONI6XF+\nzljDrI7Tm2ycF4t6w3rpv7t3oTx0EHt8AgHXjUSdsgdr775Yhl0DgNU/iI9XHaCo3ERUqDfzpnZF\nUWcrJ6PsFEvSVgDQL6IXk9uOr1esR0ZGxh1Z2a0ZIpwRpy+YzQgeIgVUdSRShYpytD9K3ueOYGm2\neCBDCq3q1T4MhUJgd34K2VW5+Gt8ubvLbRf9YyxWG/L6Eq5EhUrGeP/x2tAuRUntsXns9eBda7A3\n7ZMM6bQRCSgVTffI1wjb+Lz4L1T7pFjxsEApLj23yIDNXquzrhAU3FrtnZ1SkHr5q72JIoo6z5Hq\nyGGUh9NQp0i66uod21ClSis+68M7sedIIRqVgtvHtHPxUjfZTHy8bwFVVgMJAXFMbzcJrVLTtN9F\nRuYKRzbkzRDlCfdc4opCD4b8UK3imO6L2mxkjvAWmC129h2T9sc7tQ4muzKXLw9Ke+3DWg76ez/G\n1XnDqceQ9+8cgUIQ2H4wj7JKs3TJyQxnvXncBOdxWaWZk3kVqFUKuifU773eGNhbtnQe+0+8AYAA\nHw0RwXoMZhsbUlz35kO8gkgIiMPqsPHN4e+bdKwXijLtEIKh1nlR//rLBI4e6tJG+/MqynS+rGgz\nDJAym7WJqvVAtzpsLDj4NRXWSmJ8o7k/abacX1xG5iKQ/2qaGUJhIYFjr3EvN5tcC8xmF+Pu85/n\nnMf2toksW3eUcoOViGA9USF6fspYg1200zW0E8NbDvpbYxS12uoxmT3WhwV40T42AIcocqRaUU61\nrzbHtfnGm5zHyenSd0iMCUCjbtqQxbpiMYrqsD1BELi2r+TEVbOiUZdxbcaiEpTsyttLVmWOW/3l\ngm75NwCI1SscqsNpCGcI+IjAqxOepMDoICzQiz5n7Iv/lbmZ/YWHUCvUTE28EbVSjYyMzIUjG/Jm\nhm7Z1x7Ltd9/63KuPJHhsV3pqt8oLjexcV82AnDf+E6sOv4bKQWpKAQFkxJu+Nvx2GKQpG0uFBfV\n26ZmZnc0q9qQp0hL1+UffurMRmYwWVlR7YzX9wwj0hSIvp7TpMZW7+tnewjHi/OPpU+1g+DO3D1u\n9ZcL6s0bAKh65t9udYZ75iACy3vfxL7IjnjrVDw2tRsqZe3PTUbZKX7JkFLLzuo4nVi/lm79yMjI\nnB+yIW9mKPIkRS1rH1cNfP2H70qhRIBqx3aCBrkrsBnuvo+yrr14/Zu92Owi3RNDUegr+fO09KN+\na7vJBOkC3a67UGoyh2m2biZwUG8UGe5bATVSsMeyqw35fmlGXqMeBrDrcAFGs4220f715rluVLSe\ntxfCg/QIguS5brW55yPvFS6F663L3MSJ8lONOsSLQSgsRJWyF1GlwjTjNuwxrmFie70i+e+4p1g0\n8FYAJg6OI9i/VuXR5rA5ldsSA+PpEuIunysjI3P+NKkgjMwlxmZDUZAPgGX4CNTbt7pU+z14HwWT\np+L70H2YVBq2xfclJaYLWYFR+Jgq0XYbyYklyeQWGwgL9GLMgFD+l/wRDtFBnxY96BNxkV7qZyAG\n1r4MqA6n4fvUo5R9851Lm7hIPwQBTuRUkHMkk9CsTES9N/a4NgAUlBpZuUlaVRjQpf6UpY2JqPZs\nyNUqBWEBXuSVGMkrNhAd5ioAEx/Qmm5hXdiTv4/VJ9ZxT5fbmmK49eNwuORcV2/ZiOBwYBk4BNE/\ngNIfVxOc1A6TSsPr185ju6ITxIPCYefWvhEM6Rbl0t2vGX8487zfl3SH7KEuI/M3kQ15M0GorCCw\nb3eU+XkAWHv2puTHNQTeMAoAu6DgYFR7cvaepDKwE9+MeQGj9ozMX0ckL2W1SsH9N3ZiTf5KqmwG\nYn1bMjHh+gYbq8PHNc5b40F2Va9TM6hLBBtScvj9nWV0AbCYnY5yX/xyiJIKM2EBXvRp3/TL6gBo\nXA25cv8+7J0lCdaIYG/ySoxkF1W5GXJBELgp4QZSClLZV3jgkiZUEfLyCBw7HHvbRMq+/hYEAdWx\n6vzinToDknf+7v1ZLPh8LScEX7QqBWP6xtKvQxhhQa7hfgeKDvPbybUAjI8b6zEfvYyMzIUh/xU1\nE5Rph5xGHMCW1BXRzx+Hrx+5Sm/eHXk/qS07we8nYPDtACTkpjM4bSOtC05QOmw0mVNm4a1TkRgT\nwPr830nO34dSUDKr43R81A0Yn613Tx2qPJyGPbFdbYHJxKheMWxIyWFPYCscCCiqna32pBeQdqoU\nL62KJ27p3uRObk7OmGkGXTOQgnwpy1pMuA97jxaSnF5Abw8vGgFaf8bFjeGHY7+wOG05HYIT8a4n\nf3tjov15FcrM0ygzTyMUFCCGhTnzi9tbSxnJDp8q4cMfUikXfPHTq3lsWjeiQt1lZkVR5PeT6wAY\nEzucrmGdm+6LyMhcxch75M2Euupi9qhoxOpEFD99/BMP3P4uqS074Wssp32gksScw8z5/QPe/Opx\nxoY5iJ96PR3/9RCjerVkQOcIMs1HWX96MwpBwexOtxCqD27YwXpYag0a1JvAof1BFPH+19OExoQR\nXXSaYD8tZfoAjoVLRqW8ysLHPx4A4Nq+MQT6aht2bA3E4KRIlAqBnWn5VJk8h9mNjB1KYmA8Noft\nkjm+1aj/AQReOwIcDpTVPgv2uDZk5JTz6td7KDdYaRcTwEv39PNoxAF+OfEHR0qPo1FquCZmSJOM\nX0amOSDPyJsJyuws53HZkuUAbEjJZsGuYlCo6JN3kDt+fofgHp3R/vm7s60jKgrDY085zzPKTvFp\n6mJERIa3HERSaKdGGW/V0/9Cu/J7FNmZKKpV21QHU1Ht2Y3+o/cA0M//iK5Rg/mTAD4ZdhezIo28\n+81eLFYH7WMDGdv38tXqDvLT0TLMhxO5FWQXVpEQHeCx3YDIPhwuOcovGb/TPiiBcG/3dKyNiSp1\nn/NYeeoE2pXfod4h6egXtojls+pMZl3jQ7jrhg54aT3/pJhsZtaeqnGKvAm92qvxBy8j00yQZ+TN\nhBqZ0Mp/Poe9Q0fMFjvfb5RmVtOuSeCJ1OVElua6GHEA7LWJSXKq8vjiwFeIiPSN6Mn4uLGNNl7D\nw49Ssm4zpukzXb9HXu32gDLzFNPef5yAqhLSItvxBN3ILKhEp1Eyc3SiiwzoZYPF4jxsESwtlecU\n1Z95LSm0I238W1FlM7Dq+OpGH54LFouLKBCA3z13ACDqdCzYW0Z2YRUh/rqzGnGA30+tx2Q3E+ff\nih7hZ89uKCMjc2HIhvwqRCgsRHn0COr1a/F+5gmwWhHKJEc1MTAIURT5cGUqZZUWYsN9GdEz2imt\nWReHjy+GOQ8CUGau4KOULygyFRPmFcLkhPENm7+7HsQz9strwudAcoILL8/njg0LnGVJbYL5z519\nCA9q+v1kTxQlH8B422znuWCsNdoR1WPMLa7fkKsUKu7odAtKQUlKQSppxUcab7B10C34jNDoEAST\nCVv7Dlj6DXCp3580mJRjRahVCp6Y3v2sRvxoaYYzkc7fFQuSkZFxRzbkVxtmM4FD+xE4rD8BN09A\n/8mHBCclIlRWAiD6+HA0q4x9x4rw0iqZfX17BEGg8p/PuXZzzUiKjpzC0ao1peYyXtr5FoWmYqJ8\nIni814PoVE2z9yzqXJdgfR9/xK3NsEN/8cK0TrxwR28evKkLQX46tzaXCkd0Sypfe8sZGy8YazXU\nWwRLDoK5Z5mRg+T41j+yNyIi8/cvwmBtXB129fq1LvfZHt8W0a9W3KZM58t/e88CYEhSpEuM+JmI\noug04te0HEw32cFNRqbBkQ35VYZmwzqU+Xku8qaKwkJ0K6U4bLPehxXrJa/j4d2jia52TDLe/xD2\n2FbOa0Q/P1AqKTGV8vG+hVRYKon2ieSezrfhpWpCQ+mwn7OJZehwomPDiA7zuWxjksWaJC4G9xm5\nJ4W3M5mcMI7WfjGY7CY2ZG09Z/uLxm4n4OYJLkWGBx9BUSSp7FkVKj4dOhuD2os2UX7cNLTNWbtb\ndfw3DhWno1KoGBk7tLFGLSPTrJEN+VWE5ucf8b/l5rO2+aHIiyOZZXhpVQzvHl1boVJhuWak89Te\nqjWFxmI+SPmcUxWZ+Ki9uS9pFsFeQR56bUSUtUu29jDP8eCK/PymGs1FU7NFUHdGHh6kx0urJL/U\nyLFqqdn6UCqUjGklaeT/nLGGw8VHG2Wcdb3UAYp2p2JL6uZMtPPOqAdY32EoADcOijtraF9WZQ5/\nnPoLgJntb8ZX49mbXUZG5u8hG/KrCP9Zt5y1Pt83hDXVW8wPTOzsFppVkz4UIGPOnby04y2yq3IJ\n1AbwZK+HCND609SYZt6OtUdPDA/No3T1Oo9tlIcPeSy/nKg15LUzcrVKwdCukurZ5v3nTpDSMbgd\nAyP74BAdrDz+K1aH53ztF4v222UEjhjsUuaIrtZAt9v5csCtrO8wFI1KwYOTutChVf0vddmVuby5\n+0On6p/s4CYj03jIhvwqxzD3ERwhIZhUWp56bAkmq4PElgG0j/WgiV4tKbo3qSWvpXyEyW4mPqA1\nD3e/h0Cd5/Coxkb086f017VU/fM5HJFROPylcdhax1G6fCWiXk/l629fkrFdCKKX+4wcoEsbKQb/\neHb5OfsQBIEJ8dfhr/HlZPlpPk9d0mDjUx5Ow+++O13KivYddsb0b33sFZb3uQkBkRmjE+maEFJv\nX1uyd/Jm8oeY7CYSAuKYGN9wqn8yMjLuyIb8KqLGocp4e62XtLVPX7J3HeL5N9eQX2okNEDHPeM7\nerze7u/H6pEdef0fozDaTMT5x3Jfl1mEeDWw4MvFIggUJ6dS/uGnlC9ZjnXIMAozcjDdMvPc115i\nRC/Jaa/ujBwgtoUvggCZBVVYrOf2B/BS6ZiTNBu1QsW+wgOcLM1skPH53XGry7lp8lQcLSIAqDRa\nWSi2AmDi4DYM6BxRbz8bMrfyVdoKjDYjsX4tuS/pDnw0Daj6JyMj44YsCHMVIeokJzTDnAcxTZmO\nKnU/lpFjWPZ7OgdOlKBRK5g7sQsBPu4e50XGEr4Z4MPBzlJ4UI+wJGZ1nH7ZOY+Jvn6YJ9XxA7jM\nxlcf9c3IdRoVkSHeZBVUcSq/0pnV7WxE+0bSL6IXG7K28ubm+TzY9R78NL7nvO5sqI6kO4+rnnoW\n4y21iVpWbsogp0hKlDOiZ/3pRvfk72dp+vcAjIgZwvg2Y1EI8lxBRqaxkf/KrgKEoiIC+/dAmXka\nkGbmth69MN12Bxv357AuOQtBgEendnNL0AFQbqngo31fcLD8OBqFmlvbTeb2jtMuOyN+RVP9kqX7\nerFbVVyEFNq1YW+2W1193BA3hgjvcHIq81l3etPfG1udCAeQxHjEMElBThRFktMLALjr+g5oNZ6d\n23bn7eXzA9JS//WtRzGhzbWyEZeRaSLkv7SrAO9X/4vqqCQUYrp5GvhIxrq8ysKi1YcBuK5frMfZ\nXqWlipd3vE12VS6hXsE82/dR+kX2kn+EGxjVgVTAcya3Ub1jUCkVbNqfQ0mF2a3eE3q1Fze3lcLE\nduXtRRTFix6borjIeVy095DLKkd2kYGSCjN+ejWtI/08XU5uVT5fpX2HQ3TQIyyJ0a2Gyy+BMjJN\niPxrfaUjiugWfOY8rXz5defx77tOY7OLdI4LZuJg93jfKquB+alfUmYpJ8ongge63kmQzoMTnEzD\n4nCg2rkdqpfZ26xcQtLRnQCkpZ//rDw+oDXBXoEUm0r48/SGix5OTY56W/sOOCJdc4evWCeFuXWO\nC/YoeVtqLuP13e9jspvoHNKBWR2nyy+BMjJNjPwXdwUjFBYSOKAnQp3ZmFidy/vgiWJ+3noSgLF9\nYjxevyz9B46WZuCl8uKuTjMvH6e2qxCHf+1qiO6L+QReNxK/OXcB4PvUo3Q5JSU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slGRx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\nyoGV+LicOWsAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "qzKR7ByL86fd",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "## Backtesting A Strategy\n",
        "### Implementation Of A Simple Backtester With Pandas"
      ]
    },
    {
      "metadata": {
        "id": "jk5Oq6628_wE",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        "# Set the initial capital\n",
        "initial_capital= float(100000.0)\n",
        "\n",
        "# Create a DataFrame `positions`\n",
        "positions = pd.DataFrame(index=signals.index).fillna(0.0)\n",
        "\n",
        "# Buy a 100 shares\n",
        "positions['AAPL'] = 100*signals['signal']   \n",
        "  \n",
        "# Initialize the portfolio with value owned   \n",
        "portfolio = positions.multiply(aapl['Adj Close'], axis=0)\n",
        "\n",
        "# Store the difference in shares owned \n",
        "pos_diff = positions.diff()\n",
        "\n",
        "# Add `holdings` to portfolio\n",
        "portfolio['holdings'] = (positions.multiply(aapl['Adj Close'], axis=0)).sum(axis=1)\n",
        "\n",
        "# Add `cash` to portfolio\n",
        "portfolio['cash'] = initial_capital - (pos_diff.multiply(aapl['Adj Close'], axis=0)).sum(axis=1).cumsum()   \n",
        "\n",
        "# Add `total` to portfolio\n",
        "portfolio['total'] = portfolio['cash'] + portfolio['holdings']\n",
        "\n",
        "# Add `returns` to portfolio\n",
        "portfolio['returns'] = portfolio['total'].pct_change()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "YY-LNLno9DMV",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 327
        },
        "outputId": "0f34c3a2-f505-40fe-9eb9-9bbd923556be"
      },
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "fig = plt.figure()\n",
        "\n",
        "ax1 = fig.add_subplot(111, ylabel='Portfolio value in $')\n",
        "\n",
        "# Plot the equity curve in dollars\n",
        "portfolio['total'].plot(ax=ax1, lw=2.)\n",
        "\n",
        "# Plot the \"buy\" trades against the equity curve\n",
        "ax1.plot(portfolio.loc[signals.positions == 1.0].index, \n",
        "         portfolio.total[signals.positions == 1.0],\n",
        "         '^', markersize=10, color='m')\n",
        "\n",
        "# Plot the \"sell\" trades against the equity curve\n",
        "ax1.plot(portfolio.loc[signals.positions == -1.0].index, \n",
        "         portfolio.total[signals.positions == -1.0],\n",
        "         'v', markersize=10, color='k')\n",
        "\n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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0N3+TSkTQWztjXngsqWsb42NdlkBotpuYevPmTbz00kvYunUrZDIZkpOToVAo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\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "b81KdUcT9GvF",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "## Evaluating Moving Average Crossover Strategy¶\n",
        "### Sharpe Ratio"
      ]
    },
    {
      "metadata": {
        "id": "DaPA_hwS9Lsu",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "f3de4e17-36bd-4732-a560-4a9c20622b54"
      },
      "cell_type": "code",
      "source": [
        "# Isolate the returns of your strategy\n",
        "returns = portfolio['returns']\n",
        "\n",
        "# annualized Sharpe ratio\n",
        "sharpe_ratio = np.sqrt(252) * (returns.mean() / returns.std())\n",
        "\n",
        "# Print the Sharpe ratio\n",
        "print(sharpe_ratio)"
      ],
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0.7268769500133708\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "Nqxz1_WV9Oq8",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "### Maximum Drawdown"
      ]
    },
    {
      "metadata": {
        "id": "xIM841Ya9RcF",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 327
        },
        "outputId": "6d8fbda6-6649-4f1c-b0b1-8f1d583edc97"
      },
      "cell_type": "code",
      "source": [
        "# Define a trailing 252 trading day window\n",
        "window = 252\n",
        "\n",
        "# Calculate the max drawdown in the past window days for each day\n",
        "rolling_max = aapl['Adj Close'].rolling(window, min_periods=1).max()\n",
        "daily_drawdown = aapl['Adj Close']/rolling_max - 1.0\n",
        "\n",
        "# Calculate the minimum (negative) daily drawdown\n",
        "max_daily_drawdown = daily_drawdown.rolling(window, min_periods=1).min()\n",
        "\n",
        "# Plot the results\n",
        "daily_drawdown.plot()\n",
        "max_daily_drawdown.plot()\n",
        "\n",
        "# Show the plot\n",
        "plt.show()"
      ],
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ShGav3UCENRm/3+fClefPBKAHhY3E8tTpgMFmW/5yICwjKqtxwWCA+V1VVcP3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\nrkJggg==\n",
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "metadata": {
        "id": "wtpkVjKi9UiL",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "### Compound Annual Growth Rate (CAGR)"
      ]
    },
    {
      "metadata": {
        "id": "CfkNp3Fx9XtT",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "919db60c-264b-4232-fc8f-b2c98602f779"
      },
      "cell_type": "code",
      "source": [
        "# Get the number of days in `aapl`\n",
        "days = (aapl.index[-1] - aapl.index[0]).days\n",
        "\n",
        "# Calculate the CAGR \n",
        "cagr = ((((aapl['Adj Close'][-1]) / aapl['Adj Close'][1])) ** (365.0/days)) - 1\n",
        "\n",
        "# Print CAGR\n",
        "print(cagr)"
      ],
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0.3823445620598196\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}