Smart_Compose_final.ipynb

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  "metadata": {
    "colab": {
      "name": "Google_Smart_Compose.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "I0qL--ufT4AM"
      },
      "source": [
        "The first thing we need to do is to download the dataset from Kaggle. We use the [Enron dataset](https://www.kaggle.com/wcukierski/enron-email-dataset), which is the biggest public email dataset available.\n",
        "To do so we will use GDrive and download the dataset within a Drive folder to be used by Colab."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "h2Av9u4EQkdG",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "aba12e4d-dc4d-4b92-b7db-f242158af534"
      },
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Mounted at /content/drive\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TtE1N3LkRzWy",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8bea6a31-3554-4c22-d08c-64a999351249"
      },
      "source": [
        "import os\n",
        "os.environ['KAGGLE_CONFIG_DIR'] = \"/content/drive/My Drive/Smart\"\n",
        "%cd /content/drive/My Drive/Smart"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/content/drive/My Drive/Smart\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WNc8th8dbdFl"
      },
      "source": [
        "We can download the dataset from Kaggle and save it in the GDrive folder. This needs to be done only the first time."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7znfPfPhR4z0",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1c53a62a-197a-4202-cf02-00096dd0cb52"
      },
      "source": [
        "#!kaggle datasets download -d wcukierski/enron-email-dataset\n",
        "\n",
        "# unzipping the zip files\n",
        "!unzip \\*.zip"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Archive:  archive.zip\n",
            "  inflating: emails.csv              \n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1pUKm5x1UVne"
      },
      "source": [
        "Now we are finally ready to start working with the dataset, accessible as a CSV file called `emails.csv`."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6cPUEBklTKw0"
      },
      "source": [
        "import numpy as np \n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "import email\n",
        "import re"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "igAgn_FtTxOZ"
      },
      "source": [
        "if not 'emails_df' in locals():\n",
        "  emails_df = pd.read_csv('./emails.csv')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zEH7p32zVSlL"
      },
      "source": [
        "# Use only a subpart of the whole dataset to avoid exceeding RAM\n",
        "#emails_df = emails_df[:10000]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xhvnlYzaVuWp",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 510
        },
        "outputId": "ce18d7b3-b84c-41d4-f797-98ccf861e1f1"
      },
      "source": [
        "print(emails_df.shape)\n",
        "emails_df.head()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(517401, 2)\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>file</th>\n",
              "      <th>message</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>allen-p/_sent_mail/1.</td>\n",
              "      <td>Message-ID: &lt;18782981.1075855378110.JavaMail.evans@thyme&gt;\\nDate: Mon, 14 May 2001 16:39:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: tim.belden@enron.com\\nSubject: \\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Tim Belden &lt;Tim Belden/Enron@EnronXGate&gt;\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Jan2002_1\\Allen, Phillip K.\\'Sent Mail\\nX-Origin: Allen-P\\nX-FileName: pallen (Non-Privileged).pst\\n\\nHere is our forecast\\n\\n</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>allen-p/_sent_mail/10.</td>\n",
              "      <td>Message-ID: &lt;15464986.1075855378456.JavaMail.evans@thyme&gt;\\nDate: Fri, 4 May 2001 13:51:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: john.lavorato@enron.com\\nSubject: Re:\\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: John J Lavorato &lt;John J Lavorato/ENRON@enronXgate@ENRON&gt;\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Jan2002_1\\Allen, Phillip K.\\'Sent Mail\\nX-Origin: Allen-P\\nX-FileName: pallen (Non-Privileged).pst\\n\\nTraveling to have a business meeting takes the fun out of the trip.  Especially if you have to prepare a presentation.  I would suggest holding the business plan meetings here then take a trip without any formal business meetings.  I would even try and get some honest opinions on whether a trip is even desired or necessary.\\n\\nAs far as the business meetings, I think it would be more productive to try and stimulate discussions across the different groups about what is working and what is not.  Too often the presenter speaks and the others are quiet just waiting for their turn.   The meetings might be better if held in a round table discussion format.  \\n\\nMy suggestion for where to go is Austin.  Play golf and rent a ski boat and jet ski's.  Flying somewhere takes too much time.\\n</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>allen-p/_sent_mail/100.</td>\n",
              "      <td>Message-ID: &lt;24216240.1075855687451.JavaMail.evans@thyme&gt;\\nDate: Wed, 18 Oct 2000 03:00:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: leah.arsdall@enron.com\\nSubject: Re: test\\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Leah Van Arsdall\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Dec2000\\Notes Folders\\'sent mail\\nX-Origin: Allen-P\\nX-FileName: pallen.nsf\\n\\ntest successful.  way to go!!!</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>allen-p/_sent_mail/1000.</td>\n",
              "      <td>Message-ID: &lt;13505866.1075863688222.JavaMail.evans@thyme&gt;\\nDate: Mon, 23 Oct 2000 06:13:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: randall.gay@enron.com\\nSubject: \\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Randall L Gay\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Dec2000\\Notes Folders\\'sent mail\\nX-Origin: Allen-P\\nX-FileName: pallen.nsf\\n\\nRandy,\\n\\n Can you send me a schedule of the salary and level of everyone in the \\nscheduling group.  Plus your thoughts on any changes that need to be made.  \\n(Patti S for example)\\n\\nPhillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>allen-p/_sent_mail/1001.</td>\n",
              "      <td>Message-ID: &lt;30922949.1075863688243.JavaMail.evans@thyme&gt;\\nDate: Thu, 31 Aug 2000 05:07:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: greg.piper@enron.com\\nSubject: Re: Hello\\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Greg Piper\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Dec2000\\Notes Folders\\'sent mail\\nX-Origin: Allen-P\\nX-FileName: pallen.nsf\\n\\nLet's shoot for Tuesday at 11:45.</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                       file                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            message\n",
              "0  allen-p/_sent_mail/1.     Message-ID: <18782981.1075855378110.JavaMail.evans@thyme>\\nDate: Mon, 14 May 2001 16:39:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: tim.belden@enron.com\\nSubject: \\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Tim Belden <Tim Belden/Enron@EnronXGate>\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Jan2002_1\\Allen, Phillip K.\\'Sent Mail\\nX-Origin: Allen-P\\nX-FileName: pallen (Non-Privileged).pst\\n\\nHere is our forecast\\n\\n                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n",
              "1  allen-p/_sent_mail/10.    Message-ID: <15464986.1075855378456.JavaMail.evans@thyme>\\nDate: Fri, 4 May 2001 13:51:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: john.lavorato@enron.com\\nSubject: Re:\\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: John J Lavorato <John J Lavorato/ENRON@enronXgate@ENRON>\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Jan2002_1\\Allen, Phillip K.\\'Sent Mail\\nX-Origin: Allen-P\\nX-FileName: pallen (Non-Privileged).pst\\n\\nTraveling to have a business meeting takes the fun out of the trip.  Especially if you have to prepare a presentation.  I would suggest holding the business plan meetings here then take a trip without any formal business meetings.  I would even try and get some honest opinions on whether a trip is even desired or necessary.\\n\\nAs far as the business meetings, I think it would be more productive to try and stimulate discussions across the different groups about what is working and what is not.  Too often the presenter speaks and the others are quiet just waiting for their turn.   The meetings might be better if held in a round table discussion format.  \\n\\nMy suggestion for where to go is Austin.  Play golf and rent a ski boat and jet ski's.  Flying somewhere takes too much time.\\n\n",
              "2  allen-p/_sent_mail/100.   Message-ID: <24216240.1075855687451.JavaMail.evans@thyme>\\nDate: Wed, 18 Oct 2000 03:00:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: leah.arsdall@enron.com\\nSubject: Re: test\\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Leah Van Arsdall\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Dec2000\\Notes Folders\\'sent mail\\nX-Origin: Allen-P\\nX-FileName: pallen.nsf\\n\\ntest successful.  way to go!!!                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              "3  allen-p/_sent_mail/1000.  Message-ID: <13505866.1075863688222.JavaMail.evans@thyme>\\nDate: Mon, 23 Oct 2000 06:13:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: randall.gay@enron.com\\nSubject: \\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Randall L Gay\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Dec2000\\Notes Folders\\'sent mail\\nX-Origin: Allen-P\\nX-FileName: pallen.nsf\\n\\nRandy,\\n\\n Can you send me a schedule of the salary and level of everyone in the \\nscheduling group.  Plus your thoughts on any changes that need to be made.  \\n(Patti S for example)\\n\\nPhillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n",
              "4  allen-p/_sent_mail/1001.  Message-ID: <30922949.1075863688243.JavaMail.evans@thyme>\\nDate: Thu, 31 Aug 2000 05:07:00 -0700 (PDT)\\nFrom: phillip.allen@enron.com\\nTo: greg.piper@enron.com\\nSubject: Re: Hello\\nMime-Version: 1.0\\nContent-Type: text/plain; charset=us-ascii\\nContent-Transfer-Encoding: 7bit\\nX-From: Phillip K Allen\\nX-To: Greg Piper\\nX-cc: \\nX-bcc: \\nX-Folder: \\Phillip_Allen_Dec2000\\Notes Folders\\'sent mail\\nX-Origin: Allen-P\\nX-FileName: pallen.nsf\\n\\nLet's shoot for Tuesday at 11:45.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       "
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "q9ecH2Oocv6o",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e45e205c-7c0d-4d63-a423-2a39e2de5728"
      },
      "source": [
        "print(emails_df['message'][0])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Message-ID: <18782981.1075855378110.JavaMail.evans@thyme>\n",
            "Date: Mon, 14 May 2001 16:39:00 -0700 (PDT)\n",
            "From: phillip.allen@enron.com\n",
            "To: tim.belden@enron.com\n",
            "Subject: \n",
            "Mime-Version: 1.0\n",
            "Content-Type: text/plain; charset=us-ascii\n",
            "Content-Transfer-Encoding: 7bit\n",
            "X-From: Phillip K Allen\n",
            "X-To: Tim Belden <Tim Belden/Enron@EnronXGate>\n",
            "X-cc: \n",
            "X-bcc: \n",
            "X-Folder: \\Phillip_Allen_Jan2002_1\\Allen, Phillip K.\\'Sent Mail\n",
            "X-Origin: Allen-P\n",
            "X-FileName: pallen (Non-Privileged).pst\n",
            "\n",
            "Here is our forecast\n",
            "\n",
            " \n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "coziWZJzZL_Q"
      },
      "source": [
        "# Convert to message objects from the message strings\n",
        "messages = list(map(email.message_from_string, emails_df['message']))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Hu-1F-086BEI"
      },
      "source": [
        "def get_text_from_email(msg):\n",
        "  parts = []\n",
        "  for part in msg.walk():\n",
        "      if part.get_content_type() == 'text/plain':\n",
        "          parts.append( part.get_payload() )\n",
        "  text = ''.join(parts)\n",
        "  return text\n",
        "\n",
        "emails = pd.DataFrame()\n",
        "\n",
        "# Parse content from emails\n",
        "emails['content'] = list(map(get_text_from_email, messages))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5zYEPHv0Mr16",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c02b4409-c2e7-4995-8121-bebcbe88f718"
      },
      "source": [
        "import gc\n",
        "\n",
        "# Remove variables from memory\n",
        "del messages\n",
        "del emails_df\n",
        "gc.collect()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "238"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4jfcmrUcTJUU"
      },
      "source": [
        "def normalize_text(text):\n",
        "  text = text.lower()\n",
        "  \n",
        "  # creating a space between a word and the punctuation following it to separate words\n",
        "  # and compact repetition of punctuation\n",
        "  # eg: \"he is a boy..\" => \"he is a boy .\"\n",
        "  text = re.sub(r'([.,!?]+)', r\" \\1 \", text)\n",
        "\n",
        "  # replacing everything with space except (a-z, A-Z, \".\", \"?\", \"!\", \",\", \"'\")\n",
        "  text = re.sub(r\"[^a-zA-Z?.!,']+\", \" \", text)\n",
        "\n",
        "  # Compact spaces\n",
        "  text = re.sub(r'[\" \"]+', \" \", text)\n",
        "\n",
        "  # Remove forwarded messages\n",
        "  text = text.split('forwarded by')[0]\n",
        "\n",
        "  text = text.strip()\n",
        "\n",
        "  return text\n",
        "\n",
        "emails['content'] = list(map(normalize_text, emails['content']))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_eRrEAxsWNsv"
      },
      "source": [
        "# Drop samples with empty content text after normalization\n",
        "emails['content'].replace('', np.nan, inplace=True)\n",
        "emails.dropna(subset=['content'], inplace=True)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eWEQ-EWnugaO",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "41493dc9-adea-400e-d91e-da0e23394803"
      },
      "source": [
        "pd.set_option('max_colwidth', -1)\n",
        "emails.head(50)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:1: FutureWarning: Passing a negative integer is deprecated in version 1.0 and will not be supported in future version. Instead, use None to not limit the column width.\n",
            "  \"\"\"Entry point for launching an IPython kernel.\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>content</th>\n",
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              "      <th>0</th>\n",
              "      <td>here is our forecast</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>traveling to have a business meeting takes the fun out of the trip . especially if you have to prepare a presentation . i would suggest holding the business plan meetings here then take a trip without any formal business meetings . i would even try and get some honest opinions on whether a trip is even desired or necessary . as far as the business meetings , i think it would be more productive to try and stimulate discussions across the different groups about what is working and what is not . too often the presenter speaks and the others are quiet just waiting for their turn . the meetings might be better if held in a round table discussion format . my suggestion for where to go is austin . play golf and rent a ski boat and jet ski's . flying somewhere takes too much time .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>test successful . way to go !!!</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>randy , can you send me a schedule of the salary and level of everyone in the scheduling group . plus your thoughts on any changes that need to be made . patti s for example phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>let's shoot for tuesday at .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>greg , how about either next tuesday or thursday ? phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>please cc the following distribution list with updates phillip allen pallen enron . com mike grigsby mike . grigsby enron . com keith holst kholst enron . com monique sanchez frank ermis john lavorato thank you for your help phillip allen</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>any morning between and</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>. login pallen pw ke davis i don't think these are required by the isp . static ip address ip . . . sub . . . gate . . . dns . . . . company rc</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>mr . buckner , for delivered gas behind san diego , enron energy services is the appropriate enron entity . i have forwarded your request to zarin imam at ees . her phone number is . phillip allen</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>lucy , here are the rentrolls open them and save in the rentroll folder . follow these steps so you don't misplace these files . . click on save as . click on the drop down triangle under save in . click on the c drive . click on the appropriate folder . click on save phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>dave , here are the names of the west desk members by category . the origination side is very sparse . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>paula , million is fine phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>tim , mike grigsby is having problems with accessing the west power site . can you please make sure he has an active password . thank you , phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>20</th>\n",
              "      <td>brenda , please use the second check as the october payment . if you have already tossed it , let me know so i can mail you another . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>21</th>\n",
              "      <td>i think fletch has a good cpa . i am still doing my own .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>22</th>\n",
              "      <td>brenda , please use the second check as my october payment . i have my copy of the original deal . do you want me to fax this to you ? phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>24</th>\n",
              "      <td>liane , as we discussed yesterday , i am concerned there has been an attempt to manipulate the el paso san juan monthly index . a single buyer entered the marketplace on both september and and paid above market prices . . for san juan gas with the intent to distort the index . at the time of these trades , offers for physical gas at significantly to cents lower prices were bypassed in order to establish higher trades to report into the index calculation . additionally , these trades are out of line with the associated financial swaps for san juan . we have compiled a list of financial and physical trades executed from september to september . these are the complete list of trades from enron online eol , enron's direct phone conversations , and three brokerage firms amerex , apb , and prebon . please see the attached spreadsheet for a trade by trade list and a summary . we have also included a summary of gas daily prices to illustrate the value of san juan based on several spread relationships . the two key points from this data are as follows . the high physical prices on the th th . , , are much greater than the high financial trades . , . on those days . . the spread relationship between san juan and other points socal northwest is consistent between the end of september and october gas daily . it doesn't make sense to have monthly indeces that are dramatically different . i understand you review the trades submitted for outliers . hopefully , the trades submitted will reveal counterparty names and you will be able to determine that there was only one buyer in the . 's and these trades are outliers . i wanted to give you some additional points of reference to aid in establishing a reasonable index . it is enron's belief that the trades at . and higher were above market trades that should be excluded from the calculation of index . it is our desire to have reliable and accurate indeces against which to conduct our physical and financial business . please contact me anytime i can assist you towards this goal . sincerely , phillip allen</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>28</th>\n",
              "      <td>reagan , just wanted to give you an update . i have changed the unit mix to include some bedrooms and reduced the number of buildings to . kipp flores is working on the construction drawings . at the same time i am pursuing fha financing . once the construction drawings are complete i will send them to you for a revised bid . your original bid was competitive and i am still attracted to your firm because of your strong local presence and contacts . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>29</th>\n",
              "      <td>nymex expiration is during this time frame . please reschedule .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>33</th>\n",
              "      <td>chris , what is the latest with pg e ? we have been having good discussions regarding eol . call me when you can . x phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>36</th>\n",
              "      <td>greg , happy b day . email me your phone and i will call you . keith</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>37</th>\n",
              "      <td>kathy , regarding the guest password for gas daily , can you please relay the information to mike grigsby at so he can pass it along to the user at gas daily today . i will be out of the office on friday . thank you phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>38</th>\n",
              "      <td>john , denver's short rockies position beyond is created by their trailblazer transport . they are unhedged , d in and , d in and . they are scrubbing all their books and booking the hubert deal on wednesday and thursday . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>39</th>\n",
              "      <td>jim , is there going to be a conference call or some type of weekly meeting about all the regulatory issues facing california this week ? can you make sure the gas desk is included . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40</th>\n",
              "      <td>george , below is a list of questions that keith and i had regarding the westgate project ownership structure what will be the ownership structure ? limited partnership ? general partner ? what are all the legal entities that will be involved and in what capacity regarding ownership and liabilities ? who owns the land ? improvements ? who holds the various loans ? is the land collateral ? investment what happens to initial investment ? is it used to purchase land for cash ? secure future loans ? why is the land cost spread out on the cash flow statement ? when is the , actually needed ? now or for the land closing ? investment schedule ? investment return is equity repayment the return of the original investment ? is the plan to wait until the last unit is sold and closed before profits are distributed ? debt which entity is the borrower for each loan and what recourse or collateral is associated with each loan ? improvement construction are these the only two loans ? looks like it from the cash flow statement . terms of each loan ? uses of funds how will disbursements be made ? by whom ? what type of bank account ? controls on max disbursement ? internet viewing for investors ? reports to track expenses vs plan ? bookkeeping procedures to record actual expenses ? what is the relationship of creekside builders to the project ? do you get paid a markup on subcontractors as a general contractor and paid gain out of profits ? do you or larry receive any money in the form of salary or personal expenses before the ultimate payout of profits ? design and construction when will design be complete ? what input will investors have in selecting design and materials for units ? what level of investor involvement will be possible during construction planning and permitting ? does creekside have specific procedures for dealing with subcontractors , vendors , and other professionals ? such as always getting bids , payment schedules , or reference checking ? are there any specific companies or individuals that you already plan to use ? names ? these questions are probably very basic to you , but as a first time investor in a project like this it is new to me . also , i want to learn as much as possible from the process . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>42</th>\n",
              "      <td>george , here sales numbers from reagan as you can see his units sold at a variety of prices per square foot . the model seems to have the most data and looks most similiar to the units you are selling . at . mm , my bid is . sf higher than his units under construction . i am having a hard time justifying paying much more with competition on the way . the price i am bidding is higher than any deals actually done to date . let me know what you think . i will follow up with an email and phone call about cherry creek . i am sure deborah yates let you know that the bid was rejected on the de ville property . phillip allen</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>43</th>\n",
              "      <td>jeff , what is up with burnet ? phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>44</th>\n",
              "      <td>jeff , i need to see the site plan for burnet . remember i must get written approval from brenda key stone before i can sell this property and she has concerns about the way the property will be subdivided . i would also like to review the closing statements as soon as possible . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>45</th>\n",
              "      <td>lucy , i want to have an accurate rent roll as soon as possible . i faxed you a copy of this file . you can fill in on the computer or just write in the correct amounts and i will input .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>46</th>\n",
              "      <td>brenda , i checked my records and i mailed check for the normal amount on august th . i mailed it to pate rd . , college station , tx . i will go ahead and mail you another check . if the first one shows up you can treat the nd as payment for october . i know your concerns about the site plan . i will not proceed without getting the details and getting your approval . i will find that amortization schedule and send it soon . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>47</th>\n",
              "      <td>lucy , you wrote fewer checks this month . spent more money on materials and less on labor . june july august total materials services labor here are my questions on the august bank statement attached . check walmart description and unit ? . check crumps detail description and unit ? . check lucy what is this ? . check papes detail description and units ? . checks , , and why overtime ? . check ralph's what unit ? . check walmart ? description and unit ? try and pull together the support for these items and get back to me . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>49</th>\n",
              "      <td>http www . hearme . com vc ? chnlownr pallen enron . com</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>52</th>\n",
              "      <td>jeff , i received the rent roll . i am going to be in san marcos this weekend but i am booked with stage coach . i will drive by friday evening . i will let you know next week if i need to see the inside . can you find out when chelsea villa last changed hands and for what price ? what about getting a look at the site plans for the burnet deal . remember we have to get brenda happy . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>53</th>\n",
              "      <td>diff socal , , nwpl , , san juan , , the reason the benchmark report shows net selling san juan is that the transport positions were rolled in on . this added shorts to san juan and longs to socal . before this adjustment we bought san juan and sold socal .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>54</th>\n",
              "      <td>why is aeco basis so low on the list ? is nwpl mapped differently than aeco ? what about the correlation to nymex on aeco ?</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>55</th>\n",
              "      <td>jeff , you would clearly receive a commission on a deal on the sagewood . i am surprised by your request for payment on any type of project in which i might become involved with creekside . are you in the business of brokering properties or contacts ? is your position based on a legal or what you perceive to be an ethical issue ? did you propose we look at developing a project from scratch ? i am not prepared to pay more than . for sagewood yet . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>60</th>\n",
              "      <td>larry , just a note to touch base on the sagewood townhomes and other development opportunities . i stumbled across some other duplexes for sale on the same street . that were built by reagan lehmann . units were sold for around million . , duplex . i spoke to reagan and he indicated that he had more units under construction that would be available in the 's . are the units he is selling significantly different from yours ? he mentioned some of the units are the floor plan . my bid of . million is almost , duplex . as far as being an investor in a new project , i am still very interested . call or email with your thoughts . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>62</th>\n",
              "      <td>ina , i scheduled a meeting with jean mrha tomorrow at</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>64</th>\n",
              "      <td>ina , can you pull tori k . 's and martin cuilla's resumes and past performance reviews from h . r .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>65</th>\n",
              "      <td>resumes of whom ?</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>69</th>\n",
              "      <td>richard , compare your california production to the numbers in the california gas report . it shows . but again that might be just what the two utilities receive .</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>70</th>\n",
              "      <td>cooper , can you give access to the new west power site to jay reitmeyer . he is an analyst in our group . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>73</th>\n",
              "      <td>john lavorato m mike grigsby d keith holst d frank ermis d steve south d janie tholt d scott neal p hunter shively p tom martin p john arnold p</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75</th>\n",
              "      <td>greg , got your message . good luck on the bike ride . what were you doing to your apartment ? are you setting up a studio ? the kids are back in school . otherwise just work is going on here . keith</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>76</th>\n",
              "      <td>why are his requests coming to me ?</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>77</th>\n",
              "      <td>mark , here is a spreadsheet detailing our september socal trades . i did not distinguish between buys vs . sells . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>78</th>\n",
              "      <td>mark , were you able to log in to enron online and find socal today ? i will follow up with a list of our physical deals done yesterday and today . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>79</th>\n",
              "      <td>brenda can you send me your address in college station . phillip</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>81</th>\n",
              "      <td>mark , the following is a guest password that will allow you temporary view only access to enrononline . please note , the user id and password are case sensitive . guest user id gna guest password yj ku log in to www . enrononline . com and install shockwave using instructions below . i have set up a composite page with western basis and cash prices to help you filter through the products . the title of the composite page is mark's page . if you have any problems logging in you can call me at or kathy moore , enrononline helpdesk , help . the shockwave installer can be found within about enrononline on the home page . after opening about enrononline , using right scroll bar , go to the bottom . click on download shockwave and follow the directions . after loading shockwave , shut down and reopen browser i . e . microsoft internet explorer netscape . i hope you will find this site useful . sincerely , phillip allen</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          content\n",
              "0   here is our forecast                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "1   traveling to have a business meeting takes the fun out of the trip . especially if you have to prepare a presentation . i would suggest holding the business plan meetings here then take a trip without any formal business meetings . i would even try and get some honest opinions on whether a trip is even desired or necessary . as far as the business meetings , i think it would be more productive to try and stimulate discussions across the different groups about what is working and what is not . too often the presenter speaks and the others are quiet just waiting for their turn . the meetings might be better if held in a round table discussion format . my suggestion for where to go is austin . play golf and rent a ski boat and jet ski's . flying somewhere takes too much time .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \n",
              "2   test successful . way to go !!!                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "3   randy , can you send me a schedule of the salary and level of everyone in the scheduling group . plus your thoughts on any changes that need to be made . patti s for example phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n",
              "4   let's shoot for tuesday at .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              "5   greg , how about either next tuesday or thursday ? phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              "6   please cc the following distribution list with updates phillip allen pallen enron . com mike grigsby mike . grigsby enron . com keith holst kholst enron . com monique sanchez frank ermis john lavorato thank you for your help phillip allen                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "7   any morning between and                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "8   . login pallen pw ke davis i don't think these are required by the isp . static ip address ip . . . sub . . . gate . . . dns . . . . company rc                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "10  mr . buckner , for delivered gas behind san diego , enron energy services is the appropriate enron entity . i have forwarded your request to zarin imam at ees . her phone number is . phillip allen                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "11  lucy , here are the rentrolls open them and save in the rentroll folder . follow these steps so you don't misplace these files . . click on save as . click on the drop down triangle under save in . click on the c drive . click on the appropriate folder . click on save phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "14  dave , here are the names of the west desk members by category . the origination side is very sparse . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "15  paula , million is fine phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "17  tim , mike grigsby is having problems with accessing the west power site . can you please make sure he has an active password . thank you , phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n",
              "20  brenda , please use the second check as the october payment . if you have already tossed it , let me know so i can mail you another . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n",
              "21  i think fletch has a good cpa . i am still doing my own .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n",
              "22  brenda , please use the second check as my october payment . i have my copy of the original deal . do you want me to fax this to you ? phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "24  liane , as we discussed yesterday , i am concerned there has been an attempt to manipulate the el paso san juan monthly index . a single buyer entered the marketplace on both september and and paid above market prices . . for san juan gas with the intent to distort the index . at the time of these trades , offers for physical gas at significantly to cents lower prices were bypassed in order to establish higher trades to report into the index calculation . additionally , these trades are out of line with the associated financial swaps for san juan . we have compiled a list of financial and physical trades executed from september to september . these are the complete list of trades from enron online eol , enron's direct phone conversations , and three brokerage firms amerex , apb , and prebon . please see the attached spreadsheet for a trade by trade list and a summary . we have also included a summary of gas daily prices to illustrate the value of san juan based on several spread relationships . the two key points from this data are as follows . the high physical prices on the th th . , , are much greater than the high financial trades . , . on those days . . the spread relationship between san juan and other points socal northwest is consistent between the end of september and october gas daily . it doesn't make sense to have monthly indeces that are dramatically different . i understand you review the trades submitted for outliers . hopefully , the trades submitted will reveal counterparty names and you will be able to determine that there was only one buyer in the . 's and these trades are outliers . i wanted to give you some additional points of reference to aid in establishing a reasonable index . it is enron's belief that the trades at . and higher were above market trades that should be excluded from the calculation of index . it is our desire to have reliable and accurate indeces against which to conduct our physical and financial business . please contact me anytime i can assist you towards this goal . sincerely , phillip allen                                                                                                                                                                                      \n",
              "28  reagan , just wanted to give you an update . i have changed the unit mix to include some bedrooms and reduced the number of buildings to . kipp flores is working on the construction drawings . at the same time i am pursuing fha financing . once the construction drawings are complete i will send them to you for a revised bid . your original bid was competitive and i am still attracted to your firm because of your strong local presence and contacts . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              "29  nymex expiration is during this time frame . please reschedule .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \n",
              "33  chris , what is the latest with pg e ? we have been having good discussions regarding eol . call me when you can . x phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              "36  greg , happy b day . email me your phone and i will call you . keith                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "37  kathy , regarding the guest password for gas daily , can you please relay the information to mike grigsby at so he can pass it along to the user at gas daily today . i will be out of the office on friday . thank you phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "38  john , denver's short rockies position beyond is created by their trailblazer transport . they are unhedged , d in and , d in and . they are scrubbing all their books and booking the hubert deal on wednesday and thursday . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
              "39  jim , is there going to be a conference call or some type of weekly meeting about all the regulatory issues facing california this week ? can you make sure the gas desk is included . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "40  george , below is a list of questions that keith and i had regarding the westgate project ownership structure what will be the ownership structure ? limited partnership ? general partner ? what are all the legal entities that will be involved and in what capacity regarding ownership and liabilities ? who owns the land ? improvements ? who holds the various loans ? is the land collateral ? investment what happens to initial investment ? is it used to purchase land for cash ? secure future loans ? why is the land cost spread out on the cash flow statement ? when is the , actually needed ? now or for the land closing ? investment schedule ? investment return is equity repayment the return of the original investment ? is the plan to wait until the last unit is sold and closed before profits are distributed ? debt which entity is the borrower for each loan and what recourse or collateral is associated with each loan ? improvement construction are these the only two loans ? looks like it from the cash flow statement . terms of each loan ? uses of funds how will disbursements be made ? by whom ? what type of bank account ? controls on max disbursement ? internet viewing for investors ? reports to track expenses vs plan ? bookkeeping procedures to record actual expenses ? what is the relationship of creekside builders to the project ? do you get paid a markup on subcontractors as a general contractor and paid gain out of profits ? do you or larry receive any money in the form of salary or personal expenses before the ultimate payout of profits ? design and construction when will design be complete ? what input will investors have in selecting design and materials for units ? what level of investor involvement will be possible during construction planning and permitting ? does creekside have specific procedures for dealing with subcontractors , vendors , and other professionals ? such as always getting bids , payment schedules , or reference checking ? are there any specific companies or individuals that you already plan to use ? names ? these questions are probably very basic to you , but as a first time investor in a project like this it is new to me . also , i want to learn as much as possible from the process . phillip\n",
              "42  george , here sales numbers from reagan as you can see his units sold at a variety of prices per square foot . the model seems to have the most data and looks most similiar to the units you are selling . at . mm , my bid is . sf higher than his units under construction . i am having a hard time justifying paying much more with competition on the way . the price i am bidding is higher than any deals actually done to date . let me know what you think . i will follow up with an email and phone call about cherry creek . i am sure deborah yates let you know that the bid was rejected on the de ville property . phillip allen                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n",
              "43  jeff , what is up with burnet ? phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "44  jeff , i need to see the site plan for burnet . remember i must get written approval from brenda key stone before i can sell this property and she has concerns about the way the property will be subdivided . i would also like to review the closing statements as soon as possible . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \n",
              "45  lucy , i want to have an accurate rent roll as soon as possible . i faxed you a copy of this file . you can fill in on the computer or just write in the correct amounts and i will input .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              "46  brenda , i checked my records and i mailed check for the normal amount on august th . i mailed it to pate rd . , college station , tx . i will go ahead and mail you another check . if the first one shows up you can treat the nd as payment for october . i know your concerns about the site plan . i will not proceed without getting the details and getting your approval . i will find that amortization schedule and send it soon . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "47  lucy , you wrote fewer checks this month . spent more money on materials and less on labor . june july august total materials services labor here are my questions on the august bank statement attached . check walmart description and unit ? . check crumps detail description and unit ? . check lucy what is this ? . check papes detail description and units ? . checks , , and why overtime ? . check ralph's what unit ? . check walmart ? description and unit ? try and pull together the support for these items and get back to me . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n",
              "49  http www . hearme . com vc ? chnlownr pallen enron . com                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \n",
              "52  jeff , i received the rent roll . i am going to be in san marcos this weekend but i am booked with stage coach . i will drive by friday evening . i will let you know next week if i need to see the inside . can you find out when chelsea villa last changed hands and for what price ? what about getting a look at the site plans for the burnet deal . remember we have to get brenda happy . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              "53  diff socal , , nwpl , , san juan , , the reason the benchmark report shows net selling san juan is that the transport positions were rolled in on . this added shorts to san juan and longs to socal . before this adjustment we bought san juan and sold socal .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n",
              "54  why is aeco basis so low on the list ? is nwpl mapped differently than aeco ? what about the correlation to nymex on aeco ?                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              "55  jeff , you would clearly receive a commission on a deal on the sagewood . i am surprised by your request for payment on any type of project in which i might become involved with creekside . are you in the business of brokering properties or contacts ? is your position based on a legal or what you perceive to be an ethical issue ? did you propose we look at developing a project from scratch ? i am not prepared to pay more than . for sagewood yet . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              "60  larry , just a note to touch base on the sagewood townhomes and other development opportunities . i stumbled across some other duplexes for sale on the same street . that were built by reagan lehmann . units were sold for around million . , duplex . i spoke to reagan and he indicated that he had more units under construction that would be available in the 's . are the units he is selling significantly different from yours ? he mentioned some of the units are the floor plan . my bid of . million is almost , duplex . as far as being an investor in a new project , i am still very interested . call or email with your thoughts . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "62  ina , i scheduled a meeting with jean mrha tomorrow at                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
              "64  ina , can you pull tori k . 's and martin cuilla's resumes and past performance reviews from h . r .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "65  resumes of whom ?                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n",
              "69  richard , compare your california production to the numbers in the california gas report . it shows . but again that might be just what the two utilities receive .                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n",
              "70  cooper , can you give access to the new west power site to jay reitmeyer . he is an analyst in our group . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \n",
              "73  john lavorato m mike grigsby d keith holst d frank ermis d steve south d janie tholt d scott neal p hunter shively p tom martin p john arnold p                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "75  greg , got your message . good luck on the bike ride . what were you doing to your apartment ? are you setting up a studio ? the kids are back in school . otherwise just work is going on here . keith                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "76  why are his requests coming to me ?                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n",
              "77  mark , here is a spreadsheet detailing our september socal trades . i did not distinguish between buys vs . sells . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              "78  mark , were you able to log in to enron online and find socal today ? i will follow up with a list of our physical deals done yesterday and today . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              "79  brenda can you send me your address in college station . phillip                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \n",
              "81  mark , the following is a guest password that will allow you temporary view only access to enrononline . please note , the user id and password are case sensitive . guest user id gna guest password yj ku log in to www . enrononline . com and install shockwave using instructions below . i have set up a composite page with western basis and cash prices to help you filter through the products . the title of the composite page is mark's page . if you have any problems logging in you can call me at or kathy moore , enrononline helpdesk , help . the shockwave installer can be found within about enrononline on the home page . after opening about enrononline , using right scroll bar , go to the bottom . click on download shockwave and follow the directions . after loading shockwave , shut down and reopen browser i . e . microsoft internet explorer netscape . i hope you will find this site useful . sincerely , phillip allen                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             "
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HfhddIW-c5Xd"
      },
      "source": [
        "In the original paper, the dataset is built with 8billion emails where the context is provided by the email date, subject and previous message if the user is replying. Unfortunately, in the Enron dataset it's not possible to build the reply relationship between emails. In order thus to generate the context of a sentence, we train the sequence-to-sequence model to predict the sentence completion from pairs of split sentences.\n",
        "\n",
        "For instance, the sentence `here is our forecast` is split in the following pairs within the dataset:\n",
        "\n",
        "```\n",
        "[\n",
        "  ('<start> here is <end>', '<start> our forecast <end>'),\n",
        "  ('<start> here is our <end>', '<start> forecast <end>')\n",
        "]\n",
        "```"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3tN8TZymX6Nk"
      },
      "source": [
        "# Skip long sentences, which increase maximum length a lot when padding\n",
        "# and make the number of parameters to train explode\n",
        "SENTENCE_MAX_WORDS = 20\n",
        "\n",
        "def generate_dataset (emails):\n",
        "  contents = emails['content']\n",
        "  output = []\n",
        "  vocabulary_sentences = []\n",
        "\n",
        "  for content in contents:\n",
        "    # Skip emails longer than one sentence\n",
        "    if (len(content) > SENTENCE_MAX_WORDS * 5):\n",
        "        continue\n",
        "\n",
        "    sentences = content.split(' . ')\n",
        "    for sentence in sentences:\n",
        "      # Remove user names from start or end of sentence. This is just an heuristic\n",
        "      # but it's more efficient than compiling the list of names and removing all of them\n",
        "      sentence = re.sub(\"(^\\w+\\s,\\s)|(\\s,\\s\\w+$)\", \"\", sentence)\n",
        "      words = sentence.split(' ')\n",
        "\n",
        "      if ((len(words) > SENTENCE_MAX_WORDS) or (len(words) < 2)):\n",
        "        continue\n",
        "\n",
        "      vocabulary_sentences.append('<start> ' + sentence + ' <end>')\n",
        "\n",
        "      for i in range(1, len(words) - 1):\n",
        "        input_data = '<start> ' + ' '.join(words[:i+1]) + ' <end>'\n",
        "        output_data = '<start> ' + ' '.join(words[i+1:]) + ' <end>'\n",
        "        data = (input_data, output_data)\n",
        "        output.append(data)\n",
        "\n",
        "  return output, vocabulary_sentences\n",
        "\n",
        "pairs, vocabulary_sentences = generate_dataset(emails)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SBdryG6xf1h5",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "9ff1d32b-684a-4d31-c337-466336c9b5b5"
      },
      "source": [
        "print(len(pairs))\n",
        "print(len(vocabulary_sentences))\n",
        "print(*pairs[:10], sep='\\n')\n",
        "print(*vocabulary_sentences[:10], sep='\\n')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "509918\n",
            "104151\n",
            "('<start> here is <end>', '<start> our forecast <end>')\n",
            "('<start> here is our <end>', '<start> forecast <end>')\n",
            "('<start> way to <end>', '<start> go !!! <end>')\n",
            "('<start> way to go <end>', '<start> !!! <end>')\n",
            "(\"<start> let's shoot <end>\", '<start> for tuesday at . <end>')\n",
            "(\"<start> let's shoot for <end>\", '<start> tuesday at . <end>')\n",
            "(\"<start> let's shoot for tuesday <end>\", '<start> at . <end>')\n",
            "(\"<start> let's shoot for tuesday at <end>\", '<start> . <end>')\n",
            "('<start> how about <end>', '<start> either next tuesday or thursday ? phillip <end>')\n",
            "('<start> how about either <end>', '<start> next tuesday or thursday ? phillip <end>')\n",
            "<start> here is our forecast <end>\n",
            "<start> test successful <end>\n",
            "<start> way to go !!! <end>\n",
            "<start> let's shoot for tuesday at . <end>\n",
            "<start> how about either next tuesday or thursday ? phillip <end>\n",
            "<start> any morning between and <end>\n",
            "<start> million is fine phillip <end>\n",
            "<start> i think fletch has a good cpa <end>\n",
            "<start> i am still doing my own . <end>\n",
            "<start> nymex expiration is during this time frame <end>\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yV8fiKePhv51"
      },
      "source": [
        "This is where the fun begins. The dataset is finally available and we start working on the analysis by using [Keras](https://keras.io/) and [TensorFlow](https://www.tensorflow.org/)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YTK8VB57cW5m"
      },
      "source": [
        "import tensorflow as tf\n",
        "from tensorflow import keras\n",
        "\n",
        "np.random.seed(42)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "y_j3Y1ZsjVXM"
      },
      "source": [
        "We need to transform the text corpora into sequences of integers (each integer being the index of a token in a dictionary) by using keras `Tokenizer`. We also limit to the 10k most frequent words, deleting uncommon words from sentences.\n",
        "\n",
        "Normally we would use two tokenizers, one for the input strings and a different one for the output text, but in this case we are predicting the same vocabulary in both cases. All the words in the output texts are available also in the input texts because of how dataset pairs are generated.\n",
        "\n",
        "Also since we will apply the \"teacher forcing\" technique during training, we need both the target data and the (target + 1 timestep) data."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nEJyAwhoeiAN",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c800168d-a834-4120-e54f-72de528e80a0"
      },
      "source": [
        "vocab_max_size = 10000\n",
        "\n",
        "def tokenize(text):\n",
        "  tokenizer = keras.preprocessing.text.Tokenizer(filters='', num_words=vocab_max_size)\n",
        "  tokenizer.fit_on_texts(text)\n",
        "\n",
        "  return tokenizer\n",
        "\n",
        "input = [pair[0] for pair in pairs]\n",
        "output = [pair[1] for pair in pairs]\n",
        "tokenizer = tokenize(vocabulary_sentences)\n",
        "\n",
        "encoder_input = tokenizer.texts_to_sequences(input)\n",
        "decoder_input = tokenizer.texts_to_sequences(output)\n",
        "\n",
        "decoder_target = [\n",
        "  [decoder_input[seqN][tokenI + 1]\n",
        "   for tokenI in range(len(decoder_input[seqN]) - 1)]\n",
        "    for seqN in range(len(decoder_input))]\n",
        "\n",
        "# Convert to np.array\n",
        "encoder_input = np.array(encoder_input)\n",
        "decoder_input = np.array(decoder_input)\n",
        "decoder_target = np.array(decoder_target)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:22: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n",
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:23: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n",
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:24: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lXr2-liee5uX"
      },
      "source": [
        "from sklearn.model_selection import train_test_split\n",
        "\n",
        "encoder_input_train, encoder_input_test, decoder_input_train, decoder_input_test, decoder_target_train, decoder_target_test = train_test_split(encoder_input, decoder_input, decoder_target, test_size=0.2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ayLKNv44hYGh",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e46c77bf-36cb-4a3c-d9f5-60cfd82ec17e"
      },
      "source": [
        "print(encoder_input_train.shape, encoder_input_test.shape)\n",
        "print(decoder_input_train.shape, decoder_input_test.shape)\n",
        "print(decoder_target_train.shape, decoder_target_test.shape)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(407934,) (101984,)\n",
            "(407934,) (101984,)\n",
            "(407934,) (101984,)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qo1n30iylybo"
      },
      "source": [
        "def max_length(t):\n",
        "    return max(len(i) for i in t)\n",
        "\n",
        "max_length_in = max_length(encoder_input)\n",
        "max_length_out = max_length(decoder_input)\n",
        "\n",
        "encoder_input_train = keras.preprocessing.sequence.pad_sequences(encoder_input_train, maxlen=max_length_in, padding=\"post\")\n",
        "decoder_input_train = keras.preprocessing.sequence.pad_sequences(decoder_input_train, maxlen=max_length_out, padding=\"post\")\n",
        "decoder_target_train = keras.preprocessing.sequence.pad_sequences(decoder_target_train, maxlen=max_length_out, padding=\"post\")\n",
        "\n",
        "encoder_input_test = keras.preprocessing.sequence.pad_sequences(encoder_input_test, maxlen=max_length_in, padding=\"post\")\n",
        "decoder_input_test = keras.preprocessing.sequence.pad_sequences(decoder_input_test, maxlen=max_length_out, padding=\"post\")\n",
        "decoder_target_test = keras.preprocessing.sequence.pad_sequences(decoder_target_test, maxlen=max_length_out, padding=\"post\")"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4oKSYc9KZDuI",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b150d559-756f-4851-bd26-4eec1e427a05"
      },
      "source": [
        "print(max_length_in, max_length_out)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "21 20\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "r5tqaHGt3y6j"
      },
      "source": [
        "# Shuffle the data in unison\n",
        "p = np.random.permutation(len(encoder_input_train))\n",
        "encoder_input_train = encoder_input_train[p]\n",
        "decoder_input_train = decoder_input_train[p]\n",
        "decoder_target_train = decoder_target_train[p]\n",
        "\n",
        "q = np.random.permutation(len(encoder_input_test))\n",
        "encoder_input_test = encoder_input_test[q]\n",
        "decoder_input_test = decoder_input_test[q]\n",
        "decoder_target_test = decoder_target_test[q]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PKRxT-jsg2bB"
      },
      "source": [
        "import math\n",
        "\n",
        "batch_size = 128\n",
        "vocab_size = vocab_max_size if len(tokenizer.word_index) > vocab_max_size else len(tokenizer.word_index)\n",
        "# Rule of thumb of embedding size: vocab_size ** 0.25\n",
        "# https://stackoverflow.com/questions/48479915/what-is-the-preferred-ratio-between-the-vocabulary-size-and-embedding-dimension\n",
        "embedding_dim = math.ceil(vocab_size ** 0.25)\n",
        "latent_dim = 192 # Latent dimensionality of the encoding space."
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7TRqW4vRj3sz",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1c3d78e2-a0b5-4c6c-ee5d-cf804b1da5ef"
      },
      "source": [
        "print(vocab_size, embedding_dim)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "10000 10\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TFNmgPsMo2sE"
      },
      "source": [
        "Here we define the RNN models. We start with the Encoder-Decoder model used in training which leverages the \"teacher forcing technique\". Therefore, it will receive as input `encoder_input` and `decoder_input` datasets.\n",
        "\n",
        "Then the second model is represented by the inference Decoder which will receive as input the encoded states of the input sequence and the predicted token of the previous time step.\n",
        "\n",
        "Both models use GRU units to preserve the context state, which have been shown to be more accurate than LSTM units and simpler to use since they have only one state."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BKwm63AFWCqs",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f6f77611-34e8-4ef5-9ed0-f23fa7ffb8a1"
      },
      "source": [
        "# GRU Encoder\n",
        "encoder_in_layer = keras.layers.Input(shape=(max_length_in,))\n",
        "encoder_embedding = keras.layers.Embedding(input_dim=vocab_size, output_dim=embedding_dim)\n",
        "encoder_bi_gru = keras.layers.Bidirectional(keras.layers.GRU(units=latent_dim, return_sequences=True, return_state=True))\n",
        "\n",
        "# Discard the encoder output and use hidden states (h) and memory cells states (c)\n",
        "# for forward (f) and backward (b) layer\n",
        "encoder_out, fstate_h, bstate_h = encoder_bi_gru(encoder_embedding(encoder_in_layer))\n",
        "state_h = keras.layers.Concatenate()([fstate_h, bstate_h])\n",
        "\n",
        "# GRUDecoder\n",
        "decoder_in_layer = keras.layers.Input(shape=(None,))\n",
        "decoder_embedding = keras.layers.Embedding(input_dim=vocab_size, output_dim=embedding_dim)\n",
        "decoder_gru = keras.layers.GRU(units=latent_dim * 2, return_sequences=True, return_state=True)\n",
        "# Discard internal states in training, keep only the output sequence\n",
        "decoder_gru_out, _ = decoder_gru(decoder_embedding(decoder_in_layer), initial_state=state_h)\n",
        "decoder_dense_1 = keras.layers.Dense(128, activation=\"relu\")\n",
        "decoder_dense = keras.layers.Dense(vocab_size, activation=\"softmax\")\n",
        "decoder_out_layer = decoder_dense(keras.layers.Dropout(rate=0.2)(decoder_dense_1(keras.layers.Dropout(rate=0.2)(decoder_gru_out))))\n",
        "\n",
        "# Define the model that uses the Encoder and the Decoder\n",
        "model = keras.models.Model([encoder_in_layer, decoder_in_layer], decoder_out_layer)\n",
        "\n",
        "def perplexity(y_true, y_pred):\n",
        "    return keras.backend.exp(keras.backend.mean(keras.backend.sparse_categorical_crossentropy(y_true, y_pred)))\n",
        "\n",
        "model.compile(optimizer='adam', loss=\"sparse_categorical_crossentropy\", metrics=[perplexity])\n",
        "model.summary()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Model: \"model_1\"\n",
            "__________________________________________________________________________________________________\n",
            "Layer (type)                    Output Shape         Param #     Connected to                     \n",
            "==================================================================================================\n",
            "input_3 (InputLayer)            [(None, 21)]         0                                            \n",
            "__________________________________________________________________________________________________\n",
            "embedding_2 (Embedding)         (None, 21, 10)       100000      input_3[0][0]                    \n",
            "__________________________________________________________________________________________________\n",
            "input_4 (InputLayer)            [(None, None)]       0                                            \n",
            "__________________________________________________________________________________________________\n",
            "bidirectional_1 (Bidirectional) [(None, 21, 384), (N 235008      embedding_2[0][0]                \n",
            "__________________________________________________________________________________________________\n",
            "embedding_3 (Embedding)         (None, None, 10)     100000      input_4[0][0]                    \n",
            "__________________________________________________________________________________________________\n",
            "concatenate_1 (Concatenate)     (None, 384)          0           bidirectional_1[0][1]            \n",
            "                                                                 bidirectional_1[0][2]            \n",
            "__________________________________________________________________________________________________\n",
            "gru_3 (GRU)                     [(None, None, 384),  456192      embedding_3[0][0]                \n",
            "                                                                 concatenate_1[0][0]              \n",
            "__________________________________________________________________________________________________\n",
            "dropout_3 (Dropout)             (None, None, 384)    0           gru_3[0][0]                      \n",
            "__________________________________________________________________________________________________\n",
            "dense_2 (Dense)                 (None, None, 128)    49280       dropout_3[0][0]                  \n",
            "__________________________________________________________________________________________________\n",
            "dropout_2 (Dropout)             (None, None, 128)    0           dense_2[0][0]                    \n",
            "__________________________________________________________________________________________________\n",
            "dense_3 (Dense)                 (None, None, 10000)  1290000     dropout_2[0][0]                  \n",
            "==================================================================================================\n",
            "Total params: 2,230,480\n",
            "Trainable params: 2,230,480\n",
            "Non-trainable params: 0\n",
            "__________________________________________________________________________________________________\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YB5ylqn1C4ic",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 976
        },
        "outputId": "6eedc992-60b2-499e-87a3-2f0c6b8ede6f"
      },
      "source": [
        "keras.utils.plot_model(model, \"encoder-decoder.png\", show_shapes=True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 56
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yU2agsSllpa7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 605
        },
        "outputId": "8b763cf5-2c88-4115-b41b-afb820e1ec13"
      },
      "source": [
        "epochs = 10\n",
        "history = model.fit([encoder_input_train, decoder_input_train], decoder_target_train,\n",
        "                 batch_size=batch_size,\n",
        "                 epochs=epochs,\n",
        "                 validation_split=0.2)\n",
        "\n",
        "def plot_history(history):\n",
        "  plt.plot(history.history['loss'], label=\"Training loss\")\n",
        "  plt.plot(history.history['val_loss'], label=\"Validation loss\")\n",
        "  plt.legend()\n",
        "\n",
        "plot_history(history)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Epoch 1/10\n",
            "2550/2550 [==============================] - 93s 35ms/step - loss: 1.9757 - perplexity: 248.0609 - val_loss: 1.3249 - val_perplexity: 3.7756\n",
            "Epoch 2/10\n",
            "2550/2550 [==============================] - 87s 34ms/step - loss: 1.2897 - perplexity: 3.6496 - val_loss: 1.0826 - val_perplexity: 2.9604\n",
            "Epoch 3/10\n",
            "2550/2550 [==============================] - 86s 34ms/step - loss: 1.0785 - perplexity: 2.9496 - val_loss: 0.9159 - val_perplexity: 2.5041\n",
            "Epoch 4/10\n",
            "2550/2550 [==============================] - 86s 34ms/step - loss: 0.9444 - perplexity: 2.5773 - val_loss: 0.8174 - val_perplexity: 2.2683\n",
            "Epoch 5/10\n",
            "2550/2550 [==============================] - 86s 34ms/step - loss: 0.8625 - perplexity: 2.3734 - val_loss: 0.7502 - val_perplexity: 2.1204\n",
            "Epoch 6/10\n",
            "2550/2550 [==============================] - 86s 34ms/step - loss: 0.8075 - perplexity: 2.2461 - val_loss: 0.7037 - val_perplexity: 2.0238\n",
            "Epoch 7/10\n",
            "2550/2550 [==============================] - 86s 34ms/step - loss: 0.7666 - perplexity: 2.1558 - val_loss: 0.6727 - val_perplexity: 1.9619\n",
            "Epoch 8/10\n",
            "2550/2550 [==============================] - 86s 34ms/step - loss: 0.7371 - perplexity: 2.0927 - val_loss: 0.6455 - val_perplexity: 1.9091\n",
            "Epoch 9/10\n",
            "2550/2550 [==============================] - 85s 33ms/step - loss: 0.7130 - perplexity: 2.0426 - val_loss: 0.6257 - val_perplexity: 1.8715\n",
            "Epoch 10/10\n",
            "2550/2550 [==============================] - 85s 33ms/step - loss: 0.6947 - perplexity: 2.0057 - val_loss: 0.6064 - val_perplexity: 1.8356\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uEDbck3Sg2fF",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "bf383a2b-ba32-43c4-e2b0-2ac6edd167f8"
      },
      "source": [
        "scores = model.evaluate([encoder_input_test[:1000], decoder_input_test[:1000]], decoder_target_test[:1000])\n",
        "print(\"%s: %.2f\" % (model.metrics_names[1], scores[1]))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "32/32 [==============================] - 0s 8ms/step - loss: 0.6014 - perplexity: 1.8244\n",
            "perplexity: 1.82\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Z6VaqtcEmVCG"
      },
      "source": [
        "# Inference Decoder\n",
        "encoder_model = keras.models.Model(encoder_in_layer, state_h)\n",
        "\n",
        "state_input_h = keras.layers.Input(shape=(latent_dim * 2,))\n",
        "inf_decoder_out, decoder_h = decoder_gru(decoder_embedding(decoder_in_layer), initial_state=state_input_h)\n",
        "inf_decoder_out = decoder_dense(decoder_dense_1(inf_decoder_out))\n",
        "inf_model = keras.models.Model(inputs=[decoder_in_layer, state_input_h], \n",
        "                  outputs=[inf_decoder_out, decoder_h])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZS7SbBjEcxeg",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 422
        },
        "outputId": "1350b2d8-38ce-4297-cc3d-d2cac14bc35f"
      },
      "source": [
        "keras.utils.plot_model(encoder_model, \"encoder-model.png\", show_shapes=True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 60
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a7cSwkfHQxaw",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 533
        },
        "outputId": "c43aa1f0-b7d7-4e36-c115-6b7a21de1bcc"
      },
      "source": [
        "keras.utils.plot_model(inf_model, \"inference-model.png\", show_shapes=True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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uVCr9+OOPLS0tBQJBu+vRenp63t7eqampe/bsWbFiBdM+cuRIgUCQk5PTxzAAAABA1Q2qtLKtra2ysrK1tfXGjRsBAQFmZmZLliyhN0kkkoqKitTUVKlUWlZW9ujRI/k36uvrl5SUPHz4sLa2to+JWkZGRvcLDHVH/52UVCp9/vx5ZmYmnVaamZkRQs6fP9/U1FRQUMBUMmKsXr26ubn57Nmz8gXqBQLB0qVLk5KS4uLiampqZDJZcXHx06dPFXX6AAAAoDLYePy8WwWGYmJi6KKMmpqarq6usbGxmpqahBBra+vCwsL4+HixWEwIMTc3v3v3LkVRvr6+PB7PxMSEy+WKxWJ3d/fCwkKmtxcvXsyYMUMgEFhYWHzyySeBgYGEEIlEQhfruXbtmrm5uVAonDZt2rNnz7p/Ih0LDKWnp2tra4eHh3fc+ddffx0zZgx9Ad3IyGj79u0DdlJ///vfraysXvYZSElJoTsMCgrS19fX1dX18vKiy4VaWVkx9Ywoipo4cWJwcHC782pubg4KCjIzM+NyuQYGBp6ennl5eREREUKhkBAycuTIQ4cOvXIkUWAIlAd+RgAAvcOh2Fh328vLixBy8uRJBfa5atWqkydPvnjxQoF9sk7ZTsrZ2fnrr7+2sLBQeM8nTpzw9vZm5dM4wDgczvHjx3FvpTLDzwgAoHcG1UVwuhrOIMP6STEX0G/cuEF/M8puPAAAAKCcBlVa2Xd37tzhvJyPjw/bAbIgKCiooKDg7t27S5cu3bZtG9vhDAmrVq1iPnWLFi2S33T+/Png4OBTp05ZWlrSO3z44YfyOzg5OWlra6urq48ZM+batWsDGzghhLAb2+nTpyMiIuT/GEtNTWUGc/jw4f1xUAAA+B+sXHrv5uKN3RccHEwXEn/99ddPnjypwJ5ZpCQnFRoaqqamNnLkSGa1xv6Aeyvl+fr66uvrZ2Rk5OfnNzU1Me1hYWEuLi41NTX0Sysrq2HDhhFCzp49K//2jIwMNzc3hUfeIyzGFhUVNX36dGZ91La2tuLi4osXL86ZM4dZj7Rr3fkZAQBAR4Pk28odO3Y0NzdTFPXgwYN58+axHY5iKMlJhYeHy2SyoqIi+QfAVVFjY6ODg4OydfUyQqFw1qxZNjY2fD6fbtm5c+exY8dOnDihra3N7BYdHa2mpubr61tdXd2v8fQCW7H5+/u/8cYbc+bMaW1tJYRwOBwTExNHR0dra+uBDAMAYAgaJGklwCslJCSUlpYqW1fddO/evc2bN3/xxRcCgUC+3cHBISAg4MmTJxs3bhzIeLqDxdi2bNmSk5MTFRU1wMcFABjikFaCKqEoKjIycvTo0Xw+X09Pz93dnVl/3M/PT0NDgy5KRQhZs2aNSCTicDjl5eWEkICAgA0bNhQWFnI4HIlEEh0dLRAIRowYsWrVKmNjY4FA4ODgwJTq7FFXhJDvv/9escVKO4qOjqYoytXVteOm8PBwGxubAwcOnD9/vtP3djFocXFxIpFIU1MzLS1t9uzZYrHY1NQ0KSmJea9MJgsLCzMzMxMKhePHj+/p6ppsxaanpzd9+vSoqChqCNQWAABQIqxcelf4vZWg6rp5b2VYWJiGhsahQ4eqqqpu3Ljx5ptvDh8+nCk1unDhQkNDQ2bn3bt3E0LKysrol56enlZWVsxWX19fkUh069atpqamvLy8yZMna2trM0U6e9TV2bNntbW1t27d2p0zJd27t9LExES+xdLS0s7Ort1uVlZWDx48oCjq8uXLampqr7/+el1dHdXh/sWuBy00NJQQcuHCherq6tLSUkdHR5FI1NLSQm/duHEjn89PTk6urKwMCQlRU1O7evVqd06T9diCg4MJIdevX2da/P39cW8lAEC/wreVoDIaGxsjIyPnzp27aNEiHR2dcePG7du3r7y8PD4+vncdcrlc+nsyOzu7uLi42traxMTEXvTj7OxcU1OzefPm3oXxSvX19Q8ePOiioL29vf26desePnz42WeftdvUzUFzcHAQi8UGBgY+Pj719fVFRUWEkKampri4OA8PD09PT11d3U2bNvF4vJ4OEVux0XdS5ubm9ihaAADoC6SVoDLy8vLq6urk116fPHmyhoZGx3Ume2HSpEmamprMFVilUlpaSlEUvSDTy4SHh48aNSo2NjYrK0u+vaeDRhcfoIuV5ufnNzQ0jB07lt4kFAqNjIx6MUSsxEYP1/Pnz3saLQAA9BrSSlAZVVVVhBAtLS35Rl1d3draWoX0z+fz6dU4lU1TUxMhhHkkvFMCgSAxMZHD4SxbtqyxsZFp78ug1dfXE0I2bdrE1H189OhRQ0NDT+NnJTZ67VB66AAAYGAgrQSVoaurSwhpl3NUVVWZmpr2vXOpVKqorhSOzpBeud6Svb39+vXrCwoK5KvW92XQDAwMCCF79+6Vv28mOzu7F6cw8LG1tLSQ/wwdAAAMDKSVoDLGjh2rpaX1+++/My1XrlxpaWl566236JdcLpdZarKnMjMzKYqaMmVK37tSuBEjRnA4nO5Uf9y2bZutre3169eZllcOWhdGjhwpEAhycnJ6Fza7sdHDZWho2LeoAQCgB5BWgsoQCAQbNmxISUk5fPhwTU1Nbm7u6tWrjY2NfX196R0kEklFRUVqaqpUKi0rK3v06JH82/X19UtKSh4+fFhbW0unjG1tbZWVla2trTdu3AgICDAzM1uyZEkvusrIyOjXAkOampqWlpbFxcWv3JO+3Kyuri7f0vWgdd3b0qVLk5KS4uLiampqZDJZcXHx06dPCSE+Pj6GhoY9WoBxwGKj0cM1bty47kcIAAB9NZCPnTNQYAja6WaBoba2tt27d1tbW/N4PD09PQ8Pj/z8fGbrixcvZsyYIRAILCwsPvnkk8DAQEKIRCKhywZdu3bN3NxcKBROmzbt2bNnvr6+PB7PxMSEy+WKxWJ3d/fCwsLedZWenq6trR0eHt6dMyW9KjDk5+fH4/EaGhrolykpKfSD4cOHD1+7dm27twcGBsoX8eli0GJjY+lHW6ytrQsLC+Pj48ViMSHE3Nz87t27FEU1NzcHBQWZmZlxuVwDAwNPT8+8vDyKojw8PAghYWFhHYNnPTaas7OziYlJW1sb04ICQwAA/Q1pJSiFgV8TnF53eyCPSOtdWllQUMDlcg8dOtSfofWATCZzdHRMSEhgO5DOlZeXCwSCPXv2yDcirQQA6G+4CA5D1ysfgmFRY2PjDz/8UFBQQD96IpFItm7dunXr1rq6OrZDIzKZLDU1tba21sfHh+1YOrdly5YJEyb4+fkRQiiKKikpycrKunfvHttxAQAMckgrAZRRRUXFrFmzbGxsli1bRrcEBwd7eXn5+Ph059mdfpWZmXnq1KmMjIyuS2myJTIyMicnJz09ncfjEULS0tJMTEwcHR3PnTvHdmgAAIMc0koYikJCQhITE6urqy0sLJKTk9kOp719+/YxFxQOHz7MtG/fvt3Pz+/LL79kMTZCyMyZM48cOcKsma5U0tLSmpubMzMz9fT06BZ3d3dmMOlV3QEAoJ9w2Q4AgAU7duzYsWMH21H0hpOTk5OTE9tRKC83Nzc3Nze2owAAGKLwbSUAAAAAKADSSgAAAABQAKSVAAAAAKAASCsBAAAAQAFYe2SnuLj4xIkTbB0dlE12djYhZIh8JOiTBQAAGGQ4FEUN/FG9vLyUsKoLAADt+PHj8+fPZzsKAAAVw05aCaBAJ06c8Pb2xicZAACAXbi3EgAAAAAUAGklAAAAACgA0koAAAAAUACklQAAAACgAEgrAQAAAEABkFYCAAAAgAIgrQQAAAAABUBaCQAAAAAKgLQSAAAAABQAaSUAAAAAKADSSgAAAABQAKSVAAAAAKAASCsBAAAAQAGQVgIAAACAAiCtBAAAAAAFQFoJAAAAAAqAtBIAAAAAFABpJQAAAAAoANJKAAAAAFAApJUAAAAAoABIKwEAAABAAZBWAgAAAIACIK0EAAAAAAVAWgkAAAAACoC0EgAAAAAUAGklAAAAACgA0koAAAAAUACklQAAAACgAEgrAQAAAEABkFYCAAAAgAIgrQQAAAAABUBaCQAAAAAKgLQSAAAAABSAy3YAAD1WXFz80UcfyWQy+mVlZaW2tvZf/vIXZodRo0Z988037AQHAAAwVCGtBNVjamr66NGjwsJC+cZffvmF+ff/+3//b8CDAgAAGOpwERxU0uLFi3k83su2+vj4DGQwAAAAQAjhUBTFdgwAPVZYWGhtbd3pp3fMmDE3b94c+JAAAACGOHxbCSrJyspq/PjxHA6nXTuPx/voo49YCQkAAGCIQ1oJqmrx4sXq6urtGltbW728vFiJBwAAYIjDRXBQVU+fPjU1NW1ra2Na1NTU3nnnncuXL7MYFQAAwJCFbytBVRkbG0+dOlVN7X8/w2pqaosXL2YxJAAAgKEMaSWosA8//FD+JUVRc+fOZSsYAACAIQ5pJaiwefPmMbdXqqurv/feeyNGjGA3JAAAgCELaSWoMD09vffff5/OLCmKWrRoEdsRAQAADF1IK0G1LVq0iH5qh8fjubu7sx0OAADA0IW0ElSbq6srn88nhLi4uGhpabEdDgAAwNCFtBJUm0gkor+kxBVwAAAAllFyjh8/znY4AABDCKUI8+bNY/s8AGCIOn78uPx0xO10j4EPC6BHsrOzo6Ki6M+qTCY7fvz4ggUL2A6qX3h7ewcEBNjb27MdCCgY/RlWVG9TpkxZt26donoDVSc/Qw5umCHZ5e3t3a6lk7Ry/vz5AxIMQJ9ERUUxn1UPDw+BQMBuPP3E29vb3t4ev5WDkgLTSlNTU3xIQJ78DDmIYYZkV8e0EvdWwmAwWHNKAAAAFYK0EgAAAAAUAGklAAAAACgA0koAAAAAUACklQAAAACgAEgrYQhJT0/X0dE5c+YM24Eoi/PnzwcHB586dcrS0pLD4XA4nA8//FB+BycnJ21tbXV19TFjxly7dm3gI2Q3ttOnT0dERMhksv7oHEDZDNYZctWqVZz/aLdwhvLPgYSQiIgIW1tboVAoEolsbW03b95cU1Mjv8PRo0cnT56sra1tbm6+dOnSZ8+eddpPU1OTra3tpk2b6Jcd57fU1FRmoIYPH967aJFWwhBCURTbISiRzz//PDo6OiQkxNPT8/79+1ZWVsOGDTt8+PC5c+eYfX788ceTJ0+6uLjk5eW9+eabAx8ku7G5uroKBIKZM2dWVVX1R/8ASmUQz5D6+voZGRn5+fkJCQlMo0rMgYSQS5curVixoqio6Pnz59u2bYuIiJBfAeH48eMLFy708vIqLi5OS0u7ePHi7NmzW1tbO/YTGhqan5/PvOw4v7m5uRUXF1+8eHHOnDm9jhZpJQwhzs7O1dXVLi4u/X2gxsZGBweH/j5KX+zcufPYsWMnTpzQ1tZmGqOjo9XU1Hx9faurq1mMrVNsxebv7//GG2/MmTOn02kaYDAZxDOkUCicNWuWjY0Nn8+nW1RoDtTQ0FizZo2BgYGWlpaXl5e7u/tPP/309OlTeus333zz2muvBQYG6ujoTJgwYf369Tk5OVeuXGnXyeXLl2/evNmusd38xuFwTExMHB0dra2tex0t0koAxUtISCgtLWU7ipe6d+/e5s2bv/jii3b1Ph0cHAICAp48ebJx40a2YnsZFmPbsmVLTk6OAkuXAwxxrM+QqjUHpqSkyMdpYmJCCKmrq6NfPn782NjYmMPh0C9HjhxJCHn06JF8D42NjYGBgZ1OYgqf35BWwlCRlZVlZmbG4XC+/vprQkhcXJxIJNLU1ExLS5s9e7ZYLDY1NU1KSqJ3jo6OFggEI0aMWLVqlbGxsUAgcHBwYP7+8/Pz09DQMDIyol+uWbNGJBJxOJzy8nJCSEBAwIYNGwoLCzkcjkQiIYR8//33YrF4+/btLJx2Z6KjoymKcnV17bgpPDzcxsbmwIED58+f7/S9FEVFRkaOHj2az+fr6em5u7vfuXOH3tT1kBJCZDJZWFiYmZmZUCgcP358T26BzwEAACAASURBVFeWYys2PT296dOnR0VFDeJLhABDaoZU0TmQVlBQoKura25uTr+0tLSUz9HpGystLS3l3xIaGkp/39mxN8XPb/ILhNNnSAEovd59Vh8/fkwIiYmJoV+GhoYSQi5cuFBdXV1aWuro6CgSiVpaWuitvr6+IpHo1q1bTU1NeXl59A3RRUVF9NaFCxcaGhoyPe/evZsQUlZWRr/09PS0srJitp49e1ZbW3vr1q29OFNCyPHjx3vxxi5YWlra2dm1a7Sysnrw4AFFUZcvX1ZTU3v99dfr6uooisrIyHBzc2N2CwsL09DQOHToUFVV1Y0bN958883hw4c/e/aM3tr1kG7cuJHP5ycnJ1dWVoaEhKipqV29erU7AbMeW3BwMCHk+vXr3R3iblDgfDtv3rx58+YppCsYHDBDyvP19TUxMZFvUbk5kKKolpaW4uLimJgYPp9/6NAhpj0zM5PH40VHR9fU1Ny8eXP06NEffPCB/BuzsrJcXV0piiorK6NTzHY9d5zf/P39hw0b1p2oOo4/vq2Eoc7BwUEsFhsYGPj4+NTX1xcVFTGbuFwu/SepnZ1dXFxcbW1tYmJiLw7h7OxcU1OzefNmxUXde/X19Q8ePLCysnrZDvb29uvWrXv48OFnn33WblNjY2NkZOTcuXMXLVqko6Mzbty4ffv2lZeXx8fHy+/W6ZA2NTXFxcV5eHh4enrq6upu2rSJx+P1dDzZio2+0yg3N7dH0QIMAoNvhlTROXDkyJGmpqZbtmzZtWuX/Erc06dPDwoK8vPzE4vFY8eOra2tPXDggHzAAQEBcXFxXfSs2PkNaSXA/9DQ0CCESKXSTrdOmjRJU1OTudihukpLSymK0tTU7GKf8PDwUaNGxcbGZmVlybfn5eXV1dVNmjSJaZk8ebKGhkbH28Np8kOan5/f0NAwduxYepNQKDQyMurFeLISGz1cz58/72m0AIPGoJkhVXQOfPz4cWlp6dGjR7/77ruJEycyF75DQ0Pj4+MvXLhQV1d3//59BwcHe3t7+otnQkhISMjKlSvp2zFfRrHzG9JKgO7i8/n0RQSV1tTURAhhHofslEAgSExM5HA4y5Yta2xsZNrpOhRaWlryO+vq6tbW1r7yuPX19YSQTZs2MXXRHj161NDQ0NP4WYlNKBSS/wwdAHRKVWZIFZ0DeTyegYGBk5PTsWPH8vLyduzYQQh5+vRpRETEypUr3333XZFIZGFhsX///pKSEvqug6ysrNzc3OXLl3fds2LnN6SVAN0ilUqrqqpMTU3ZDqSv6BnklSW+7e3t169fX1BQsG3bNqZRV1eXENJuAu3msNB3i+/du1f+Lpzs7OxenMLAx9bS0kL+M3QA0JEKzZCqPgdKJBJ1dfW8vDxCSEFBgUwme+2115itYrFYX1+f3pqQkHDhwgU1NTU6i6UD2L59O4fD+f3335m3KHZ+Q1oJ0C2ZmZkURU2ZMoV+yeVyX3YxSMmNGDGCw+F0pyrbtm3bbG1tr1+/zrSMHTtWS0tLfj66cuVKS0vLW2+99creRo4cKRAIcnJyehc2u7HRw2VoaNi3qAEGLRWaIVVrDnzx4sWCBQvkW+hUki4kRKezTA1LQkhtbW1FRQW9NTExUT6FlX9kR/46vmLnN6SVAC/V1tZWWVnZ2tp648aNgIAAMzOzJUuW0JskEklFRUVqaqpUKi0rK2tXJExfX7+kpOThw4e1tbVSqTQjI0N5CgxpampaWloWFxe/ck/6MpC6urp8y4YNG1JSUg4fPlxTU5Obm7t69WpjY2NfX9/u9LZ06dKkpKS4uLiamhqZTFZcXEzPhj4+PoaGhj1aGG3AYqPRwzVu3LjuRwgw6KnoDKlac6BIJPrxxx9//vnnmpoaqVR6/fr1jz76SCQSrV+/nhBiYWExY8aM/fv3X7x4sbGx8fHjx3Qkf/3rX7s/IAqe3+QzWRQYAlXRi89qTEwMXUdNU1PT1dU1NjaWvk/Z2tq6sLAwPj5eLBYTQszNze/evUtRlK+vL4/HMzEx4XK5YrHY3d29sLCQ6e3FixczZswQCAQWFhaffPJJYGAgIUQikdD1Na5du2Zubi4UCqdNm/bs2bP09HRtbe3w8PBenCnphwJDfn5+PB6voaGBfpmSkkI/FDl8+PC1a9e22zkwMFC+uEZbW9vu3butra15PJ6enp6Hh0d+fj696ZVD2tzcHBQUZGZmxuVyDQwMPD098/LyKIry8PAghISFhXUMlfXYaM7OziYmJm1tbb0Z7pdAgSHoP5gh5XUsMKRCcyBFUa6urhYWFlpaWnw+38rKysfHJzc3l9laXl4eEBAgkUj4fL6WltbUqVP/+c9/dtrPywoMdZzf+lJgCGklqKQB+Kz6+vrq6+v36yG6oz/SyoKCAi6XK1/5jF0ymczR0TEhIYHtQDpXXl4uEAj27Nmj2G6RVkL/wQwpr2NaiTmQ0en8hrqVAP3ilfd0qyiJRLJ169atW7cyy3+xSCaTpaam1tbW+vj4sB1L57Zs2TJhwgQ/Pz+2AwFQLio0QzY2Nv7www8FBQX04ymYAxny8xtFUSUlJVlZWffu3et1h+yklZMnT1ZXV58wYUJfOlm+fLm2tjaHw+n0BtiOW9PT03V0dM6cOdOXg3ZHRESEra2tUCgUiUS2trabN2+uqanpzhtPnTplaWnJ6czrr7/ei0gG9zhDXwQHB3t5efn4+HTnvvV+lZmZeerUqYyMjK7LyLElMjIyJycnPT2dx+OxHUtfKefvZnh4eLvpjins17Vff/119OjR9FOuhoaG4eHh/R0qQ36uNjIyWrRo0YAdGnqnoqJi1qxZNjY2y5Yto1swB5IO81taWpqJiYmjo+O5c+d63Sc7aeXVq1dnzJjRx04OHDiwf//+7m+lBmo930uXLq1YsaKoqOj58+fbtm2LiIiYN29ed97o6el5//59KysrHR0d+svk1tbWhoaG58+f9+7TNrjHuV+FhIQkJiZWV1dbWFgkJyezHU6/2L59u5+f35dffsluGDNnzjxy5AizfLBSSUtLa25uzszM1NPTYzsWBRgcv5uMKVOm3L5928nJiRCSn5+/adOmATu0/Fz97Nmzw4cPD9ihlYRqzZD79u1jLtHK/7CG+BzYcX5zd3eXvzjeu265iouwxzgczkAeztnZeWD+KNHQ0FizZo1AICCEeHl5nTx58uTJk0+fPjU2Nu5pV+rq6kKhUCgU2tjY9DqewTrO/WrHjh10sdnBzcnJif5fGTrl5ubm5ubGdhQKM2C/m42NjTNnzrx8+XI39z906JDyf+HX05Ma3AbNDDmU58B+mt/YvLey7xeVuk6YFJhOURR18uTJdot+vkxKSgqdU9LoRZP6eANHampqr987WMcZAJRTQkICs7LcoDEoTwpA4XqTVspksrCwMDMzM6FQOH78ePqJs6ioKJFIpKam9tZbbxkaGvJ4PJFI9Oabbzo6OtIlQHV1dT/99FP5fu7du2draysSiYRCoaOjo/zKm50eghBCUdTu3btHjRrF5/N1dHTomgWMLrZmZWWZmZlxOJyvv/6aEBIXFycSiTQ1NdPS0mbPni0Wi01NTZOSkuQD2LFjx6hRo4RC4fDhwy0sLHbs2DF//vxeDFdBQYGurq65uTn98vvvv+9LgS6MMwD0Qo9+N6OjowUCwYgRI1atWmVsbCwQCBwcHJhVj/38/DQ0NJhrdmvWrBGJRBwOh75qFhAQsGHDhsLCQg6HI5FI+hh2jyZMZTupS5cu2dnZ6ejoCASCcePG/fDDD4SQ5cuX0zdlWllZ0XW2ly5dqqmpqaOjc/r0afKSaXnXrl2ampra2tqlpaUbNmwwMTHJz8/v/jACDBz5x8K7WZJg48aNfD4/OTm5srIyJCRETU3t6tWrFEV9/vnnhJArV67U19eXl5fPmjWLEHLu3LmysrL6+nr6OaOcnBy6k5kzZ1paWj548EAqld68efOdd94RCAR0YacuDhEaGsrhcP72t79VVlY2NDTExsYSQq5fv06/q+ut9MrrMTExzM6EkAsXLlRXV5eWljo6OopEopaWFnrr9u3b1dXV09LSGhoa/vjjD0NDw7/85S+vHBl5LS0txcXFMTExfD5fvorB2bNntbW1t27d+rI3yt9bSVGUv7+/fIUqjDNt6BTDIv1QYAiUwcAXGOrR76avr69IJLp161ZTU1NeXt7kyZO1tbXpooMURS1cuNDQ0JDpmV6AuKysjH7p6elpZWXVzeC3bdtmamqqq6vL4/Fef/11Nze33377jdn6ygnzgw8+IIRUVlYO/Em1m6s7Onny5JYtWyoqKl68eDFlyhSmYounp6e6uvqTJ0+YPRcsWHD69Gn6311My4QQf3//mJiYuXPn3r59u4tDY4aEgdFx/HucVjY2Nmpqavr4+NAvGxoa+Hz+xx9/TP0n3amtraU3fffdd4QQJiX67bffCCHHjh2jX86cOfONN95gur1x4wYhZOPGjV0coqGhQVNT8/3332feRf8ZSic0XW+lXjKlNjY20i/p3OjevXv0y8mTJ7/99ttMVytXrlRTU2tubu56cOTR6yANGzbsq6++Yia17qCLssrrNK0c4uOMSRNUnZKklS/73fT19ZXPma5evUoI+eKLL+iXCkwri4qKrl27Vltb29zcnJ2dPXHiRKFQePPmzW6+vdO0cmBO6pVppTz6TsTS0lKKos6fP08IYap/V1dXW1tbt7a2Ul3+D9vu1LqGGRIGRsfx7/EjO/n5+Q0NDUwBCKFQaGRkdOfOnY57amhoEEJaW1vpl/Qdfi9bJHTcuHE6Ojp00vOyQ9y7d6+hoWHmzJmd9tD11leio2XCa2pqkr8/UiaT8Xg8+RWcXunx48dVVVXXr18PDg6Oj4//+eefR4wY0c336ujoVFVV0f8OCAjoTuRDc5xPnDjRuzBUS3Z2NtshgOIp24+13e9mO5MmTdLU1Ox0qu+jkSNH0usXE0KmTJmSmJg4YcKE2NjYuLi4vnfO1kl1RM/MdKHHd99918bG5ttvvw0JCeFwOMeOHfPx8aHnve7/D9sdmCFh4PU4rayvryeEbNq0Sb6aQy+ece6Ix+PRv/wvOwS9bKWBgUGnb+96a0/NmTNn9+7daWlpTk5OeXl5qamp//Vf/9WjtJLH4xkYGDg5OVlYWNjY2OzYsSMqKqoXkfTuXV0HNmjG2dvbWyFhKLmoqCiFfwwAeorP59OLv/WrcePGqaur3717t78PROvXkzp37tzu3bvz8vLo1ZyZdg6Hs2rVqvXr11+4cOG99947ePDgkSNH6E2K/R8WMyQMvB4/skPnE3v37pX/zrPvfyu0trZWVFSYmZl1cQj6a63m5uZOe+h6a09t2bLl3XffXbJkiVgsnjt37vz587uo3dg1iUSirq6el5enkMD6aJCNc/99sa88CC7xDFLME3IqQSqVVlVVmZqa9veB2tra2tra+Hx+fx+I9M9JXbx4ce/evYSQoqIiDw8PIyOjK1euVFdXR0REyO+2ZMkSgUBw4MCB/Px8sVjMPNOp2P9h2fpsDySCGZJVHT91PU4r6ceNO11wpS/+9a9/tbW1vfnmm10cYuzYsWpqar/88kunPXS9tafy8vIKCwvLysqkUmlRUVFcXFw36yG/ePFiwYIF8i0FBQUymYy5ytM7T58+Xbp0aV96oA2acQaAgZSZmUlR1JQpU+iXXC73ZVeWe4q+OZJBP55ib2+vkM671h8n9ccff4hEIkJIbm6uVCr9+OOPLS0tBQJBu0Jsenp63t7eqampe/bsWbFiBdPeT//DAgyYHqeVAoFg6dKlSUlJcXFxNTU1MpmsuLj46dOnvTh2S0tLdXV1a2vrtWvX/Pz8zM3NlyxZ0sUhDAwMPD09k5OTExISampqbty4IV/gsOutPbV27VozM7NeFJsUiUQ//vjjzz//TF/1uH79+kcffSQSidavX0/vkJGR0aMCQxRFNTY2njp1SiwW9zQY2qAcZwDob21tbZWVla2trTdu3AgICDAzM6OnDkKIRCKpqKhITU2VSqVlZWWPHj2Sf6O+vn5JScnDhw9ra2tfmag9efLk2LFjVVVVUqk0Ozt7+fLlZmZmq1evprf2dMJk8aSkUunz588zMzPptJK+KHT+/PmmpqaCggKmkhFj9erVzc3NZ8+edXFxYRoV+D8sADvkv8zs5rNjzc3NQUFBZmZmXC6XTjLy8vKioqLoBQZff/31S5cu7dy5U0dHhxBiaGh45MiRY8eO0U9G6+npJSUlURSVmJg4Y8aMESNGcLncYcOG/fd///ejR4+6PgRFUbW1tcuXLx82bJiWlta0adPCwsIIIaampn/++WfXW2NiYuiCZJqamq6urrGxsXS01tbWhYWF8fHxdNJmbm5OF9/5+eefhw0bxowSj8cbPXr0qVOnuvOdsKurq4WFhZaWFp/Pt7Ky8vHxkX+UOz09XVtbm3kGUF5KSkrHx8AZmzZtoigK40zDc46g6gb4SfCe/m76+vryeDwTExMulysWi93d3QsLC5neXrx4MWPGDIFAYGFh8cknn9DFayUSCV2s59q1a+bm5kKhcNq0ac+ePes6sA0bNlhZWYlEIi6Xa2pqumLFipKSEmZrFxPmr7/+OmbMGDU1NUKIkZHR9u3bB+yk/v73v3cxV6ekpNAdBgUF6evr6+rqenl50eVCraysmHpGFEVNnDgxODi43Xl1Oi1HREQIhUJCyMiRI+Ur1r0MZkgYGB3Hvzdp5VAQGxsbEBDAvGxubl63bh2fz29oaGAxqsGn1+M8dD6rmDQHq4EvMNQjvr6++vr6iu2Tdcp2UnPmzLl//35/9IwZEgZGx/Fnc01wpfXs2TM/Pz/5u1s0NDTMzMykUqlUKqX/ZIS+wzgDKDO6Gs4gw/pJSaVSutjQjRs36G9G2Y0HQLHYXBNcaQmFQh6Pl5CQ8Pz5c6lUWlJScuDAgbCwMB8fn5KSEs7L+fj4sB27KulinHt9IykAKI87d+5gwmwnKCiooKDg7t27S5cu3bZtG9vhACgY0spO6Ojo/Pjjjzdv3rSxsREKhXZ2domJiTt37vzuu+9sbW27+Db42LFjbMeuSroYZ7ZDU1Xnz58PDg4+deqUpaUl/T/3hx9+KL+Dk5OTtra2urr6mDFjrl27NvARKnNsjLa2tr179zo4OHTclJWVNXXqVE1NTWNj46CgIKbS1unTpyMiIlj/JkxRQkJCEhMTq6urLSwskpOTe92PUk2YijqpPtLU1LS1tX3vvfe2bNliZ2fHVhhDyqpVq5g/ZhYtWiS/SfnnTEJIRESEra2tUCgUiUS2trabN2+uqamR3+Ho0aP0SqTm5uZLly599uxZp/00NTXZ2toyJVE7zlqpqanMQA0fPryX4cr/kg+duzFA1Q2dzyrp9p1DYWFhLi4uNTU19EsrKyv6caizZ8/K75aRkeHm5qb4QHtCmWO7e/fu1KlTCSHyq57Sbt68KRQKN2/eXFdXd/ny5eHDhy9dupTZGhUVNX36dGYVwVdS8nsrQaVhhpRH31ObkZGRn5/f1NTEtKvKnOns7Lxnz57S0tLa2toTJ07weDz59ZPpP88iIiLohf0sLS0nTJgglUo79kNXpAkNDWVa2s1abW1txcXFFy9enDNnDrOEfdc6jj++rQToXGNjY6ffV7Hb1cvs3Lnz2LFjJ06c0NbWZhqjo6PV1NR8fX2rq6v79ei9oJyx/fnnn5999tnq1asnTJjQceu2bduMjIy++OILkUhkb28fFBT0j3/8g1lYz9/f/4033pgzZw6zkirAIKZaM6RQKJw1a5aNjQ1TaV+F5kwNDY01a9YYGBhoaWl5eXm5u7v/9NNPTNmpb7755rXXXgsMDNTR0ZkwYcL69etzcnI6FrS6fPnyzZs32zW2m7U4HI6JiYmjo6O1tXWvo0VaCdC5hISE0tJSZeuqU/fu3du8efMXX3whv8A6IcTBwSEgIODJkycbN27sv6P3jnLG9sYbb5w6dWrhwoUdV3lpbW09d+7c9OnTmbrWs2fPpigqLS2N2WfLli05OTlYRw6GAhWaITtSrTkzJSVFPk4TExNCCFPv+fHjx8bGxsy8RK+90q7qamNjY2BgYKdTk8JnLaSVMJhRFBUZGTl69Gg+n6+np+fu7s58t+Tn56ehoUFX8iOErFmzRiQScTic8vJyQkhAQMCGDRsKCws5HI5EIomOjhYIBCNGjFi1apWxsbFAIHBwcGD+HOxRV4SQ77//XrEVnqOjoymKcnV17bgpPDzcxsbmwIED58+f7+kQxcXFiUQiTU3NtLS02bNni8ViU1PTpKQk5r0ymSwsLMzMzEwoFI4fP76nqxEqc2wd3b9/v66ujq5xTaMrF964cYNp0dPTmz59elRUFNXZmmYAymaIzJAdqeicSSsoKNDV1WUW/LS0tJRPyukbKy0tLeXfEhoaSn/f2bE3xc9a8lfEh87dGKDquvlZDQsL09DQOHToUFVV1Y0bN958883hw4cz9ZkXLlxoaGjI7Lx7925CSFlZGf3S09PTysqK2err6ysSiW7dutXU1JSXl0ffH81UNu5RV2fPntXW1t66dWt3zpR0484hS0tLOzu7do1WVlYPHjygKOry5ctqamqvv/56XV0d1eE+oa6HKDQ0lBBy4cKF6urq0tJSR0dHkUjU0tJCb924cSOfz09OTq6srAwJCVFTU6NX3nslZY6N9s4777S7t5JesHT37t3yjUKhcObMmfItwcHBhJDr16+/8hC4txL6D2ZIeb6+viYmJvItKjdnUhTV0tJSXFwcExPD5/PlS+JnZmbyeLzo6OiampqbN2+OHj36gw8+kH9jVlaWq6srRVFlZWXk/95bSes4a/n7++PeSoD2GhsbIyMj586du2jRIh0dnXHjxu3bt6+8vLzXq01yuVz6L1Q7O7u4uLja2trExMRe9OPs7FxTU7N58+behdFOfX39gwcPuljzw97eft26dQ8fPvzss8/abermEDk4OIjFYgMDAx8fn/r6+qKiIkJIU1NTXFych4eHp6enrq7upk2beDxeTwdEmWNrh37oW11dXb6Rx+M1NjbKt9D3JOXm5vblWAADYIjMkB2p6Jw5cuRIU1PTLVu27Nq1y9vbm2mfPn16UFCQn5+fWCweO3ZsbW3tgQMH5AMOCAiIi4vromfFzlpIK2HQysvLq6urmzRpEtMyefJkDQ2Njvcy98KkSZM0NTWZax8sKi0tpSiKXrPuZcLDw0eNGhUbG5uVlSXf3tMh0tDQIITQCyLn5+c3NDSMHTuW3iQUCo2MjHoxIMocmzz63qZ2j+O0tLS0q9tP/yCeP3/el2MBDIAhMkN2pKJz5uPHj0tLS48ePfrdd99NnDiRufAdGhoaHx9/4cKFurq6+/fvOzg42NvbP378mN4aEhKycuVK+nbMl1HsrIW0EgatqqoqQoiWlpZ8o66ubm1trUL65/P59DUFdjU1NdHBdLGPQCBITEzkcDjLli2T/3atL0NUX19PCNm0aRNT5+zRo0cNDQ09jV+ZY5NH3xkmXy6uoaGhqanJ2NhYfjc6y6R/KADKbIjMkB2p6JzJ4/EMDAycnJyOHTuWl5e3Y8cOQsjTp08jIiJWrlz57rvvikQiCwuL/fv3l5SU0LcZZGVl5ebmLl++vOueFTtrIa2EQUtXV5cQ0u63vaqqytTUtO+dS6VSRXXVR/SM8MpC3Pb29uvXry8oKJBf2KMvQ0Tf/b137175u2qys7N7cQrKHBvDwsJCW1tb/vnKe/fuEULGjx8vv1tLSwv5zw8FQJkNkRmyI1WfMyUSibq6el5eHiGkoKBAJpO99tprzFaxWKyvr09vTUhIuHDhgpqaGp3F0gFs376dw+H8/vvvzFsUO2shrYRBa+zYsVpaWvK/PFeuXGlpaXnrrbfol1wul7420QuZmZkURU2ZMqXvXfXRiBEjOBxOd6qsbdu2zdbW9vr160zLK4eoCyNHjhQIBPJLuveFMsdG43K5c+bMuXjxYltbG92SkZHB4XDaPUxK/yAMDQ0VeGiA/jBEZsiOVGvOfPHixYIFC+Rb6FSSLiREp7NMDUtCSG1tbUVFBb01MTFRPoWVf2RH/jq+YmctpJUwaAkEgg0bNqSkpBw+fLimpiY3N3f16tXGxsa+vr70DhKJpKKiIjU1VSqVlpWVtSv0pa+vX1JS8vDhw9raWnpCbGtrq6ysbG1tvXHjRkBAgJmZ2ZIlS3rRVUZGhgLLZ2hqalpaWhYXF3dnQBITE+UfOnnlEHXd29KlS5OSkuLi4mpqamQyWXFxMT27+fj4GBoa9mihM2WOjbF58+bnz59//vnn9fX12dnZu3fvXrJkyahRo+T3oX8Q48aN60X/AANpiMyQHanWnCkSiX788ceff/65pqZGKpVev379o48+EolE9JI5FhYWM2bM2L9//8WLFxsbGx8/fkxH8te//rX7A6LgWUs+k0WBIVAV3fystrW17d6929ramsfj6enpeXh45OfnM1tfvHgxY8YMgUBgYWHxySefBAYGEkIkEgldFOPatWvm5uZCoXDatGnPnj3z9fXl8XgmJiZcLlcsFru7uxcWFvauq/T0dG1t7fDw8O6cKelG+Qw/Pz8ej9fQ0EC/TElJoR9yHD58+Nq1a9vtHBgYKF8so4shio2NpW/ltra2LiwsjI+PF4vFhBBzc/O7d+9SFNXc3BwUFGRmZsblcg0MDDw9PfPy8iiK8vDwIISEhYV1DFWZY6MoKjs7e+rUqcztkkZGRg4ODr/88guzwy+//PL222/z+XxjY+PAwED5heBozs7OJiYmbW1tnfYvDwWGoP9ghpTXscCQCs2ZFEW5urpaWFhoaWnx+XwrKysfH5/c3Fxma3l5eUBAgEQi4fP5WlpaU6dO/ec//9lpPy8rMNRx1upLgSGklaCSBv6zSq8qO5BHpHVn0iwoKOByufKVpjkOJQAAIABJREFUzNglk8kcHR0TEhLYDqQT/RpbeXm5QCDYs2dPd3ZGWgn9BzOkvI5pJeZMRqezFupWAgyEV97izRaJRLJ169atW7cyy3mxSCaTpaam1tbW+vj4sB1Le/0d25YtWyZMmODn59cfnQMoOaWdIQkhjY2NP/zwQ0FBAf14CuZMhvysRVFUSUlJVlYW/Txi7yCtBBgMgoODvby8fHx8unMfer/KzMw8depURkZG12XhWNGvsUVGRubk5KSnp/N4PIV3DgB9UVFRMWvWLBsbm2XLltEtmDNJh1krLS3NxMTE0dHx3Llzve4TaSXAq4WEhCQmJlZXV1tYWCQnJ7MdTue2b9/u5+f35ZdfshvGzJkzjxw5wqz/q1T6L7a0tLTm5ubMzEw9PT2Fdw6g5JR8hty3bx9zifbw4cNM+xCfMzvOWu7u7vIXx3vXLVdxEQIMWjt27KBrzyo5JycnJycntqMYitzc3Nzc3NiOAoAdqjJDdjSU58x+mrXwbSUAAAAAKADSSgAAAABQAKSVAAAAAKAASCsBAAAAQAE6eWTHy8tr4OMA6BF6salB8FmVyWQ1NTVdPz68d+/ekydPDlhIMDC6s3Zc9/3666+D4NdBRVEUVVFRMWzYMLYD+V+DZobsDsyQSoVDF0mnZWdnR0ZGshgNwFDz6NGjq1evGhkZ2dnZ6evrsx0ODDSF/HcYGRmZnZ3d936gp9ra2oqKiu7cudPY2Ojs7KyhocF2RAADbf369fb29szL/5NWAsDAy8rK2rx5c2Zm5tSpU7dt2zZjxgy2IwKAV5BKpUlJSeHh4Q8fPvTx8dm0aZONjQ3bQQGwD/dWArBs2rRp//rXvy5dusTn8999991p06ZduHCB7aAAoHNSqfTgwYN2dnbLly+fMmVKXl7ewYMHkVMC0JBWAigFOpu8dOmSQCB47733pk2bdubMGbaDAoD/1dLScvDgwdGjR69YscLe3v727dsHDx60trZmOy4AJYK0EkCJTJs27fz585cuXdLT03N1dUVyCaAMWlpa4uPjraysVqxYMXPmzHv37h08eNDKyortuACUDtJKAKVDZ5P//ve/6eRy6tSpSC4BWNHc3BwfH29pafnJJ5/MmTPn/v3733zzzciRI9mOC0BJIa0EUFIODg5nzpy5fPmyvr6+m5vbxIkTT548iWfsAAZGfX39V199ZWlp6efn5+zs/ODBg2+++cbExITtuACUGtJKAKVmb29/5syZa9euWVtbe3t7I7kE6G90QmltbR0aGjpv3jw6oXzttdfYjgtABSCtBFABEyZMOHHiRE5Ojo2Njbe394QJE5BcAihcXV3dV199JZFIQkNDvby87t2799VXXxkbG7MdF4DKQN1KABWTm5u7e/fuI0eO2NnZBQYGLly4UF1dne2gAFRbXV1dbGzsrl27Wlpali1bFhISYmhoyHZQAKoHaSWASrp58+auXbuOHj1qa2v76aefIrkE6J3a2tq4uLiIiIjW1taPP/74008/xXpXAL2GtBJAheXl5UVERBw9enTUqFFBQUFILgG6r6am5u9//zuTUAYFBenp6bEdFIBqQ1oJoPJu37795ZdfJiUlmZmZBQUFLVu2jMvlsh0UgPJ68eJFTEzMV199pa6uvnbt2oCAAF1dXbaDAhgMkFYCDBL379+PiIj49ttvR44c+dlnnyG5BOiovLz866+/joqK4nK5a9euXbdunY6ODttBAQweSCsBBpUHDx7s3Lnz22+/NTU1DQgIWLVqFZ/PZzsoAPaVlZXFxsbu3btXQ0NjzZo1SCgB+gPSSoBB6OHDh3v37v3mm2+MjIzWrVvn6+srEAjYDgqAHaWlpZGRkTExMSKR6OOPP16/fr1YLGY7KIDBCWklwKD16NGjyMjI+Pj4ESNGrF+/HsklDDV0QhkdHa2trb1+/fpPPvlEU1OT7aAABjOklQCDXFFR0d/+9rf4+HgDA4MNGzasXLlSKBSyHRRA/3r8+PGePXv2798vFovXrVvn5+eHjz3AAEBaCTAkPH/+fO/evczXNvhfFgardn9H4Ut6gIGEtBJgCGFuMtPS0sI1QRhkcNcHAOuQVgIMOWVlZX/729/wBAMMGu2eUUMBBAC2IK0EGKLoAn6otwIqTb6iVnBwMMq1ArALaSXAkNauOjSWGwFVgfr/AEoIaSUA/O9adm1tbatXr8biyKDMbt26tXPnzqNHj5qbm2O1UgClgrQSAP5HbW1tXFxcREREa2vrxx9/jOQSlE1eXl5ERMTRo0dtbW0//fTThQsXqqursx0UAPwvpJUA8H/QyeWuXbtaWlrWrFnz6aef6uvrsx0UDHU3b97ctWvX0aNHR48eHRgYiIQSQDkhrQSATtTV1SUkJHz55Zf19fXLli0LDg42MjJiOygYim7cuBEeHp6cnDx27NiNGzcuWrRITU2N7aAAoHP45QSATmhpafn7+9+7dy88PPzEiRMSicTf3//p06dsxwVDyJ9//jl//vwJEybk5+cfP378zz//XLx4MXJKAGWG308AeCkmudy+ffvJkyetra39/f1LSkrYjgsGuZycnPnz50+cOPHu3bvHjx/Pycnx8vLicDhsxwUAr4C0EgBeQSQS+fv7P3jwIDIyMjk52dLS0tfX98mTJ2zHBYPQ5cuXXVxcJk6cWFxcnJaWdv36dSSUACoEaSUAdAufz1+5cuX9+/ejo6PPnTtHJ5fFxcVsxwWDxL///W8XF5epU6dWVFScPn2azi+RUAKoFqSVANADTHIZExOTnp5uZWW1ePHiwsJCtuMCFZaVleXi4jJt2rTKysrTp0/T+SXbQQFAbyCtBIAe09DQWLlyZWFh4f79+y9fvjx69OjFixffu3eP7bhAxWRlZb333nuOjo6VlZU//fQTnV+yHRQA9B7SSgDoJQ0NjcWLF9++ffvAgQPZ2dl2dnaLFy8uKChgOy5QAVlZWe+++66jo2NTU9OFCxfo/JLtoACgr5BWAkCf8Hi8xYsX37p168CBA1euXBkzZszixYvv3r3LdlygpM6fP29vb+/o6NjS0vLzzz/T+SXbQQGAYiCtBAAFoJPL27dvHzly5Lfffhs9evT8+fPv3LnDdlygRM6fP//OO++8//77Wlpav/76a1ZW1owZM9gOCgAUCWklACiMmpqal5fXrVu3jh07lpubO2bMmPnz59++fZvtuIBl58+ff/vtt99//32xWHzlypWffvrpnXfeYTsoAFA8pJUAoGB0cpmXl5eamlpQUDB27FgXF5fr1693/S4sJKtyXvkjoyjqzJkzkyZNcnJyMjQ0vHr16k8//fT2228PTHgAMPCQVgJAv1BTU3Nxcfnjjz9SU1NLSkreeustFxeXa9euvWz/iIiIb775ZiAjhL6QSqXz5s3Lz8/vdGtbWxudULq5uRkbG1+9epV+OcBBAsAAQ1oJAP2ITi5///33tLS0p0+fTpo0iX7Zbre6urqIiIjVq1cfPHiQlTihR1pbW+fPn5+SkrJt27Z2m5iE0t3d/bXXXvvjjz/OnDnz1ltvsRInAAwwpJUA0O84HI6Li8vVq1fT0tKeP38+efLk999//+rVq8wOcXFxtbW1FEUtXbo0KSmJxVDhlWQy2YIFC86cOUMISUpKYuqVtrW1nTx5csyYMe7u7hKJ5ObNm2fOnJk4cSKrwQLAgEJaCQADhE4uf/vtt59++qmmpoZ+huPKlSsNDQ0REREymYwQ0tbWtmjRImSWSqutrW3x4sUpKSn0z0tdXT08PJxOKO3s7Hx8fMaNG5eXl3fixInRo0ezHSwADDQObpMHAFacO3du27ZtV65cefvtt//44w86TaGpqakdPXrU29ubxfCgI4qifH19ExIS2tramEY1NTVTU9OSkpJFixaFhoZKJBIWIwQAdiGtBAA2nT59+sMPP6ypqZFv5HA4ampqKSkprq6ubAUG7VAUtXr16v3798vnlIQQHo/3xhtvHD9+3NLSkq3YAEBJ4CI4ALDp/v37dXV17Ropimpra/P09Dx79iwrUUE7FEWtXbu2Y05JCJFKpdevX+dwOKwEBgBKBWklALCmqanpyy+/7JipEEIoipLJZB4eHunp6QMfGLQTFBS0b9++Tn9ShBA1NbWdO3cOcEgAoISQVgIAaw4cOFBWVvayrfR3lnPnzv3Xv/41kFFBO/+fvXuPa+LK/8d/ArmHhItcBUFCQFRU1ktVrKv2YqusKEWUVVsv7YpWi1SliAiriFTERRYLjxZ12a6uIipia8Va9YN+WK1bV6iIXxXxBiICckmAICHM74/5dT5ZrgEDCfh6/uWcMznznjMB3s7MOWfjxo1/+ctfOsopCSEqlepvf/vbkydP+jIqADBASCsBQD9evny5c+dO+vVuDofD4/GMjFr/RmppaVGpVLNnz758+bI+YgQSFhYWHx/fbk5pbGzM4/GMjY0JIc3NzbhhCQAYsgMGp6Sk5MqVK/qOAvqCUqmsrKysqKgoLy+n//H8+fOKigrmbUtjY2NjY+OmpiYulxsREeHm5qbfgF83R48ezcjIIIQYGxu3tLTQfy+MjIxMTU0tLS0HDx5s9RtLS8tBgwax2Wx9hwx9YcGCBfoOAQwU0kowOOnp6ZhZBgDAYCFzgI7gf5ZgoPBrq1f5+/sTQo4dO6bvQLqHoqhujTim/4uC7xKAruC//dA5vFsJAP0GZrEBADBkSCsBAAAAQAeQVgIAAACADiCtBAAAAAAdQFoJAAAAADqAtBIAAAAAdABpJQBo68yZM6ampt9//72+A+ldq1atYv1myZIlmlXnz58PCws7ceKEVCqld/jwww81d5g5c6ZYLDY2Nh45cuSNGzf6NnBCCDHk2BgtLS179uzx8vJqW5WTkzNlyhShUGhnZxcaGvry5Uu6/LvvvouNjVWr1T04nOFfNUJIbGysu7u7QCAQiUTu7u4RERFyuVxzh8OHD0+YMEEsFjs5OS1fvrysrKzddhobG93d3bds2UJvtu23zMxM5uttaWnZe2cErykKwMAcPXoU38zeNn/+/Pnz53f3U6dPn5ZIJN99911vhNQbevZdCgwMtLCwyMrKunv3bmNjI1MeGRk5Z84cuVxOb7q4uAwaNIgQcvr0ac2PZ2VlzZ079xUjf0WGHNu9e/emTJlCCBkzZkyrqlu3bgkEgoiIiLq6uitXrlhaWi5fvpypTUhImDZtWnV1dbcO11+umre39+7du8vLyxUKRXp6OofDeffdd5natLQ0QkhsbGxNTU1ubq5UKvX09FSpVG3bWb9+PSEkPDycKWnVby0tLSUlJZcvX549e/agQYO6Gyd+P0PncLcSALTl7e1dW1s7Z86c3j6QUqls91ZWnxEIBO+//76bmxuPx6NLdu7cmZaWlp6eLhaLmd0SExONjIwCAwNra2v1FGmHDDO2X3/9ddOmTatXr/b09Gxbu337dltb223btolEosmTJ4eGhv7973+/c+cOXbtu3boxY8bMnj27ublZy8P1o6vG5XLXrFljZWVlYmLi7+8/b968n3766dmzZ3TtN998M3jw4JCQEFNTU09Pz/Xr1+fl5V27dq1VI1euXLl161arwlb9xmKx7O3tp06d6urq2gfnBa8bpJUAYHAOHDhQXl6u7yj+z/379yMiIrZt28bn8zXLvby8goODnz59unHjRn3F1hHDjG3MmDEnTpxYvHgxk68zmpubf/jhh2nTpjGT3s+aNYuiqFOnTjH7bN26NS8vLyEhQZtj9a+rlpGRoRmnvb09IaSuro7eLC4utrOzY3pmyJAhhJDHjx9rtqBUKkNCQtrtnG71G8CrQFoJAFrJyclxdHRksVhfffUVISQ5OVkkEgmFwlOnTs2aNUsikTg4OBw5coTeOTExkc/nW1tbr1q1ys7Ojs/ne3l5MTdXgoKCuFyura0tvblmzRqRSMRisSorKwkhwcHBGzZsKCoqYrFYMpmMEHL27FmJRLJjxw49nPZvp0NRlI+PT9uq6OhoNze3/fv3nz9/vt3PUhQVHx8/fPhwHo9nbm4+b9485vZb531ICFGr1ZGRkY6OjgKBYPTo0fTzR+0ZcmxtPXjwoK6uztHRkSlxcXEhhNy8eZMpMTc3nzZtWkJCAqXFgpz99KrRCgsLzczMnJyc6E2pVKr5Hy36xUqpVKr5kfDwcPp+Z9vWutVvAK9Ef8/fAdqHd3f6QM/erSwuLiaE7N27l94MDw8nhFy4cKG2tra8vHzq1KkikaipqYmuDQwMFIlEt2/fbmxsLCgooEcbPHnyhK5dvHixjY0N03JcXBwhpKKigt708/NzcXFhak+fPi0Wi6OiorobcI/frbS3t9cskUqlI0aMaLWbi4vLw4cPKYq6cuWKkZHR0KFD6+rqqDZv6UVGRnK53IMHD9bU1Ny8eXPs2LGWlpZlZWV0bed9uHHjRh6Pd/z48erq6s2bNxsZGf3yyy/anIIhx0abOHFiq3crL126RAiJi4vTLBQIBG+//bZmSVhYGCEkNze3y0P0u6tGUVRTU1NJScnevXt5PN7BgweZ8uzsbA6Hk5iYKJfLb926NXz48Pfee0/zgzk5OT4+PhRFVVRUkP9+t5LWtt/WrVuHdytB53C3EgBeiZeXl0QisbKyCggIqK+vf/LkCVPFZrPp+z0jRoxITk5WKBSpqak9OIS3t7dcLo+IiNBd1N1QX1//8OFD+s5ZuyZPnvz5558/evRo06ZNraqUSmV8fPwHH3ywZMkSU1PTUaNGff3115WVlSkpKZq7tduHjY2NycnJvr6+fn5+ZmZmW7Zs4XA43e1AQ46tFXrQt7GxsWYhh8NRKpWaJfQbgfn5+Z231k+v2pAhQxwcHLZu3bpr166FCxcy5dOmTQsNDQ0KCpJIJB4eHgqFYv/+/ZoBBwcHJycnd9Kylv0G8IqQVgKAbnC5XEKISqVqt3b8+PFCoZB5ktiPlJeXUxQlFAo72Sc6OnrYsGFJSUk5OTma5QUFBXV1dePHj2dKJkyYwOVy2w62oGn24d27dxsaGjw8POgqgUBga2vbgw405Ng00W8WthqO09TUJBAINEvoC/H8+fPOW+unV624uLi8vPzw4cPffvvt7373O+bBd3h4eEpKyoULF+rq6h48eODl5TV58mT66QEhZPPmzStXrqRfx+yIlv0G8IqQVgJAH+HxePQTuv6lsbGRENJ2iIkmPp+fmprKYrFWrFiheXetpqaGEGJiYqK5s5mZmUKh6PK49fX1hJAtW7Ywsww+fvy4oaGhu/Ebcmya6HdtNSdrbGhoaGxstLOz09yNzjLpi9KJfnrVOByOlZXVzJkz09LSCgoKYmJiCCHPnj2LjY1duXLlW2+9JRKJnJ2d9+3bV1paSr86kpOTk5+f/8knn3Tespb9BvCKkFYCQF9QqVQ1NTUODg76DqTb6L/HXU7EPXny5PXr1xcWFm7fvp0pNDMzI4S0Ske07Ad67MWePXs031u6evVqD07BkGNjODs7i8VizdHN9+/fJ4SMHj1ac7empiby20XpRH+/ajKZzNjYuKCggBBSWFioVqsHDx7M1EokEgsLC7r2wIEDFy5cMDIyorNYOoAdO3awWKzr168zH9Gy3wBeEdJKAOgL2dnZFEVNmjSJ3mSz2R09Ljc01tbWLBZLmzkOt2/f7u7unpuby5R4eHiYmJho/nW/du1aU1PTuHHjumxtyJAhfD4/Ly+vZ2H3o9hobDZ79uzZly9fbmlpoUuysrJYLFarodz0hbCxsem8tf511V68eLFo0SLNEjqVpCcSotNZZg5LQohCoaiqqqJrU1NTNVNYzSE7ms/xtew3gFeEtBIAektLS0t1dXVzc/PNmzeDg4MdHR2XLVtGV8lksqqqqszMTJVKVVFR0WoGPgsLi9LS0kePHikUCpVKlZWVpccJhoRCoVQqLSkp6XJP+qGq5qATPp+/YcOGjIyMQ4cOyeXy/Pz81atX29nZBQYGatPa8uXLjxw5kpycLJfL1Wp1SUkJnVsEBATY2Nh0a5lBQ46NERER8fz58z//+c/19fVXr16Ni4tbtmzZsGHDNPehL8SoUaM6P1b/umoikejcuXMXL16Uy+UqlSo3N3fp0qUikYheMsfZ2XnGjBn79u27fPmyUqksLi6mI/n444+7jIeh2W8AvahXxpcDvAJMYNEHejDB0N69e+m334RCoY+PT1JSEj0IwNXVtaioKCUlRSKREEKcnJzu3btHUVRgYCCHw7G3t2ez2RKJZN68eUVFRUxrL168mDFjBp/Pd3Z2/uyzz0JCQgghMpmMnoHoxo0bTk5OAoHgzTffLCsrO3PmjFgsjo6O7u5p6mqCoaCgIA6H09DQQG9mZGTQQ4wtLS3Xrl3b6uMhISGaU9W0tLTExcW5urpyOBxzc3NfX9+7d+/SVV324cuXL0NDQx0dHdlstpWVlZ+fX0FBAUVRvr6+hJDIyMi2wRtybBRFXb16dcqUKczrkra2tl5eXpcuXWJ2uHTp0htvvMHj8ezs7EJCQjQXz6R5e3vb29u3tLR0eax+dNUoivLx8XF2djYxMeHxeC4uLgEBAfn5+UxtZWVlcHCwTCbj8XgmJiZTpkw5efJku+10NMGQZr/RMMEQ9AZ8OcDg4NdWH+jZvJXdQq+s3auH6JKu0srCwkI2m605j6B+qdXqqVOnHjhwQN+BtKNXY6usrOTz+bt379bmWLhqjFb9RkNaCb0BD8EBoLd0OWDCYCmVyh9//LGwsJAe6CCTyaKioqKiopjF9PRIrVZnZmYqFIqAgAB9x9Jab8e2detWT0/PoKAgbY6Fq8bQ7DeKokpLS3NycugRUQC6hbQSoGuxsbHu7u4CgUAkErm7u0dERGhOg6KNe/fuffbZZyNHjpRIJFwu18rKyt3d/YMPPjh58iS9w4kTJ6RSKUsD/YB4xYoVDx8+ZNr561//OnjwYBaLZWRk5Obmprn03B/+8AeJRGJkZOTu7v6vf/1LJyf+2qqqqnr//ffd3NxWrFhBl4SFhfn7+wcEBGgzCqRXZWdnnzhxIisrq/NJGfWiV2OLj4/Py8s7c+YMh8PR8li4aqRNv506dcre3n7q1Kk//PBDH0cCrwV93y4FaM0AH7J4e3vv3r27vLxcoVCkp6dzOJx3331X+4+npqZyudw333zz7Nmz1dXVjY2NRUVF33//vbe3d2BgoOaeLi4upqamFEWp1ernz5//4x//EAqF1tbWlZWVmrsRQiZOnNj2QP/zP//TaqW7jvT2Q/CwsDB6juihQ4ceO3as9w7UOZ1/l3788cfQ0FAdNghayszMjImJaW5u7sFnX+er9ir91i4D/P0MBgVfDjA4Bvhry9fXV6lUMpv+/v6EkNLSUm0+e/XqVWNj4+nTp6tUqlZVRUVFHaWVjC+++IIQkpaWpllo+GmlgTDA7xJAv4afKegcHoLDAEFR1LFjx1ot2qsrGRkZ9MpyNHqRNC1f2NqxY4darf7yyy/ZbHarKqlU+vXXX3f+cZlMRggpKyvrXsQAAAB9Dmkl9FdqtTomJmbYsGECgcDS0tLZ2TkmJmbBggWEkF27dgmFQrFYXF5evmHDBnt7+/fee4/L5dLz4xBC1qxZIxKJWCxWZWVlDw5dWFhoZmbm5OREb549e7ajWRWbmprOnz9vYWHBTAPeg2MRQsaMGdOzjwMAAPQZpJXQX8XGxkZGRsbFxVVVVZ07d66xsdHMzIxede2LL75Yv359XV1dTEyMs7PzpEmT/vrXv9IZJy0pKWnbtm3dPaJKpXr69OlXX311/vz5vXv30u8Okt/GOzNLg2h6/PhxY2Ojm5tbD06wpqbm22+/TUpK8vb2nj59eg9aAAAA6Eutn8oB9BeZmZnjxo2jF3YbO3bs3Llz9+/f39TUxGR7hJCdO3fy+fy1a9fq5IhDhgx5/vz5oEGDdu3atXDhQqbc29u7o4HhdLmJiYn2R6mtrWWxWPS/WSzW9u3b6dcrAQAADBzSSuivGhsbNd93VKvVHA5HcwU2nSsuLq6pqcnNzQ0LC0tJSbl48aK1tXXnH6ETyvr6+lbl6enpoaGhjx49IoS4u7tfunSJacrU1LSmpoYQ8sUXX8TFxZmamtLTgujczz//TI89GsDoBesG/GkC9Blt1sOE1xkegkN/NXv27P/85z+nTp1SKpXXr1/PzMz8wx/+0KtpJYfDsbKymjlzZlpaWkFBQUxMTJcfcXJy4vF4bacdXrBgwcOHD52cnGxsbP7f//t/7aanERERtra2mzdvLi4ublvb7jN3OrfW7mwAAAB0DHcrob/aunXrf/7zn2XLltXV1dnZ2S1YsKDdQTO9QSaTGRsbFxQUdLknn89/5513fvjhh59//rm7o3bEYvHOnTuXLVv26aeffv/995pVFhYWpaWlbT/y8OHDIUOGaNn+pEmTjh071q2Q+p309PSFCxcO+NME6DP0z5S+owDDhbuV0F8VFBQUFRVVVFSoVKonT54kJyebm5t3sj+bzVapVD040IsXLxYtWqRZUlhYqFartUzgtm3bxuFwQkJCenD0jz76aOLEiadPn05PT9csf+utt54+fXrlyhXNQoqi/v73v0+cOLG7RwEAANAJpJXQX61du9bR0VH71X5lMllVVVVmZqZKpaqoqHj8+LGWHxSJROfOnbt48aJcLlepVLm5uUuXLhWJROvXr6d3yMrK6miCIULIuHHjDh48+J///Gf69Olnz5599uxZc3Pz48ePDx48WFVV1fmhWSxWYmIii8UKCgqqrq5myqOjo83MzPz9/U+ePFlfX//y5ctff/110aJFzc3NH374oZbnBQAAoFtIK6G/iomJuXXrlrm5Ob2CNpfLHTFiREZGBiFk165d8fHxhBA3N7dDhw7R+3/66aczZsz44x//OGzYsO3btwsEAkLI5MmT231zUROfz58yZconn3xib28vFov9/f2HDh36888/e3h4aBkM4/zkAAAgAElEQVTqwoULb9++/cYbb2zcuNHV1VUsFs+YMWPfvn1r1qxhns9euXJl2LBhRUVFtbW19vb2q1evpsvfeOONpUuXPn/+XCqV7ty5ky4cNmxYbm6ut7f3hg0bLCwszM3NFy1a5ObmduHCBc2B8AAAAH2JRVGUvmMA+C/0uztdfjOTk5MLCwv37NlDbzY1NW3atCk5Obm6uppOGaET9ODoAf/SoZbfJQDQEn6moHMYsgP9UllZWVBQUF5eHlPC5XIdHR1VKpVKpUJaCQAA0PfwEBz6JYFAwOFwDhw48Pz5c5VKVVpaun///sjIyICAAIlE0q2m7ty5w+pYQEBAL50CGI5Vq1YxV3zJkiWaVefPnw8LCztx4oRUKqV3aPX26syZM8VisbGx8ciRI2/cuNG3gRNCiCHHRgiJjY11d3cXCAQikcjd3T0iIqLV2gGHDx+eMGGCWCx2cnJavnx5WVlZu+00Nja6u7tv2bKF3vzuu+9iY2PpBa66y/CvKenDfsvMzGS+/JaWlr13RvC6oAAMzNGjR7X5Zl6+fPmdd96RSCTGxsampqZeXl5JSUkqlaoPIhwA5s+fP3/+fH1H0eu0/C4FBgZaWFhkZWXdvXu3sbGRKY+MjJwzZ45cLqc3XVxcBg0aRAg5ffq05sezsrLmzp2r28i7y2Bj8/b23r17d3l5uUKhSE9P53A47777LlOblpZGCImNjaUXGpBKpZ6enu3+FNMj5MLDw5mShISEadOmVVdXdyue/nJN+6zfWlpaSkpKLl++PHv27EGDBnUZmJY/U/Dawt1K6K+mTp36008/1dbWNjc319TU/Otf//r000/ZbLzXYSiUSqWXl5ehNdURgUDw/vvvu7m58Xg8umTnzp1paWnp6elisZjZLTEx0cjIKDAwsLa2tlfj6QHDjI3L5a5Zs8bKysrExMTf33/evHk//fTTs2fP6Npvvvlm8ODBISEhpqamnp6e69evz8vLu3btWqtGrly5cuvWrVaF69atGzNmzOzZs5ubm7UMph9d0z7rNxaLZW9vP3XqVFdX1z44LxjwkFYCQK84cOBAeXm5oTWlpfv370dERGzbtk1zgVBCiJeXV3Bw8NOnTzdu3NiX8WjDMGPLyMjQ7EN7e3tCCDMvWHFxsZ2dHYvFojfpuWBbTf6lVCpDQkISEhLaNr5169a8vLx2q9rqX9fUcPoNoFuQVgJAhyiKio+PHz58OI/HMzc3nzdv3p07d+iqoKAgLpdra2tLb65Zs0YkErFYrMrKSkJIcHDwhg0bioqKWCyWTCZLTEzk8/nW1tarVq2ys7Pj8/leXl7MzZVuNUUIOXv2bCcThepEYmIiRVE+Pj5tq6Kjo93c3Pbv33/+/Pl2P9tJpyUnJ4tEIqFQeOrUqVmzZkkkEgcHhyNHjjCfVavVkZGRjo6OAoFg9OjR9ANH7RlybLTCwkIzMzMnJyd6UyqVav6HgX5BUCqVan4kPDycvm/XtjVzc/Np06YlJCRQWgxM7qfXlKbHfgPoHv09fwdoH97d6QNavlsZGRnJ5XIPHjxYU1Nz8+bNsWPHWlpalpWV0bWLFy+2sbFhdo6LiyOEVFRU0Jt+fn4uLi5MbWBgoEgkun37dmNjY0FBAT3a4MmTJz1o6vTp02KxOCoqqsv4tX+30t7eXrNEKpWOGDGi1W4uLi4PHz6kKOrKlStGRkZDhw6tq6uj2ryH13mnhYeHE0IuXLhQW1tbXl4+depUkUjU1NRE127cuJHH4x0/fry6unrz5s1GRka//PJLl/EbeGwURTU1NZWUlOzdu5fH4x08eJApz87O5nA4iYmJcrn81q1bw4cPf++99zQ/mJOT4+PjQ1FURUUF+e93BGlhYWGEkNzc3C5j6HfXlOrbflu3bh3erYRXhy8HGBz82uoD2qSVDQ0NJiYmAQEBTMm///1vQgiTz3U3rTQ1NWU2f/nlF0LItm3betCU9nqWVtbV1bFYrDlz5rTajUlBKIrasGEDIWTt2rXUf6cgXXYanYIolUp6MykpiRBy//59iqKUSqVQKGQ+29DQwOPxPv30U23O1JBjoyjKxsaGEDJo0KC//vWvTL5FYwYpE0IcHByKi4uZqoaGhvHjx5eUlFAdp0d/+9vfCCH/+Mc/Og+gP15Tqm/7DWkl6AQeggNA+woKCurq6saPH8+UTJgwgcvlth0Z0APjx48XCoXMk0SDUl5eTlGUUCjsZJ/o6Ohhw4YlJSXl5ORolne30+hVkej14u/evdvQ0MCs3iQQCGxtbXvQRQYYW3FxcXl5+eHDh7/99tvf/e53zAPc8PDwlJSUCxcu1NXVPXjwwMvLS3Phq82bN69cuZJ+rbAj9GV6/vx55wH002uq934D6C6klQDQvpqaGkKIiYmJZqGZmZlCodBJ+zwej76VYmgaGxsJIcyQ8Hbx+fzU1FQWi7VixQqlUsmUv0qn1dfXE0K2bNnCzCP4+PHjhoaG7sZvgLFxOBwrK6uZM2empaUVFBTExMQQQp49exYbG7ty5cq33npLJBI5Ozvv27evtLSUvledk5OTn5//ySefdN4yvfYBfck60U+vqd77DaC7kFYCQPvMzMwIIa3+dtbU1Dg4OLx64yqVSldN6Rz9F7fLqbYnT568fv36wsLC7du3M4Wv0mn06Io9e/ZoPlG6evVqD07BYGOTyWTGxsYFBQWEkMLCQrVaPXjwYKZWIpFYWFjQtQcOHLhw4YKRkRGdjdEB7Nixg8ViXb9+nflIU1MT+e2SdaK/X1N99RtAdyGtBID2eXh4mJiYaP4punbtWlNT07hx4+hNNptNP+nrgezsbIqiJk2a9OpN6Zy1tTWLxdJmFsPt27e7u7vn5uYyJV12WieGDBnC5/M1lyR9FYYQ24sXLxYtWqRZQqdE9IQ4dFrGzMVICFEoFFVVVXRtamqqZiqm+Y6g5vNo+jLR7yB2on9dU8PpN4DuQloJAO3j8/kbNmzIyMg4dOiQXC7Pz89fvXq1nZ1dYGAgvYNMJquqqsrMzFSpVBUVFa2mzbOwsCgtLX306JFCoaBTxpaWlurq6ubm5ps3bwYHBzs6Oi5btqwHTWVlZfXqBENCoVAqlZaUlHS5J/3Y1NjYWLOk807rvLXly5cfOXIkOTlZLper1eqSkhI6ewgICLCxsenWQoKGEJtIJDp37tzFixflcrlKpcrNzV26dKlIJKKXfnF2dp4xY8a+ffsuX76sVCqLi4vpSD7++GPtT5O+TKNGjeo8kv51Tfu43wB0SWeDfwB0BCMN+4CWEwy1tLTExcW5urpyOBxzc3NfX9+7d+8ytS9evJgxYwafz3d2dv7ss89CQkIIITKZjJ426MaNG05OTgKB4M033ywrKwsMDORwOPb29mw2WyKRzJs3r6ioqGdNnTlzRiwWR0dHdxl/jycYCgoK4nA4DQ0N9GZGRoaLiwshxNLSkh4prCkkJERzMppOOi0pKYkeKuHq6lpUVJSSkkIvYe/k5HTv3j2Kol6+fBkaGuro6Mhms62srPz8/AoKCiiK8vX1JYRERka2Dd6QY6MoysfHx9nZ2cTEhMfjubi4BAQE5OfnM7WVlZXBwcEymYzH45mYmEyZMuXkyZPtttPRiGZvb297e/uWlpYuI+lH17SP+42GkeCgE/hygMHBr60+0PdrgtPrbvflEalXSCsLCwvZbLbmTIH6pVarp06deuDAAX0H0g49xlZZWcnn83fv3q1NJLimjFb9RkNaCTqBh+AA0Ee6HDChR0ql8scffywsLKSHMshksqioqKioKGa5PD1Sq9WZmZkKhSIgIEDfsbSm39i2bt3q6ekZFBSkTSS4pgzNfqMoqrS0NCcn5/79+30fCQw8SCsBAEhVVdX777/v5ua2YsUKuiQsLMzf3z8gIECbcR69Kjs7+8SJE1lZWZ1Pu6gXeowtPj4+Ly/vzJkzHA5Hy0hwTUmbfjt16pS9vf3UqVN/+OGHPo4EBiQWhSVBwcCkp6cvXLgQ38xe5e/vTwg5duxY3xxu8+bNf/nLX5qamoYOHRoXFzd//vy+Oe6rf5fokRM7d+7UYVTw6k6dOnX79u0vvvhCc2yNll7na/oq/UbD72foHNJKMDj4tdUH+jit1Bd8lwB0Cz9T0Dk8BAcAAAAAHUBaCQAAAAA6gLQSAAAAAHQAaSUAAAAA6ADSSgAAAADQAba+AwBoH4vF0ncIA99r0smvyWkCAOgd0kowOF5eXvT6YAADwNWrVxMSEvCVBoDXAeatBADoRZjnDwBeH3i3EgAAAAB0AGklAAAAAOgA0koAAAAA0AGklQAAAACgA0grAQAAAEAHkFYCAAAAgA4grQQAAAAAHUBaCQAAAAA6gLQSAAAAAHQAaSUAAAAA6ADSSgAAAADQAaSVAAAAAKADSCsBAAAAQAeQVgIAAACADiCtBAAAAAAdQFoJAAAAADqAtBIAAAAAdABpJQAAAADoANJKAAAAANABpJUAAAAAoANIKwEAAABAB5BWAgAAAIAOIK0EAAAAAB1AWgkAAAAAOoC0EgAAAAB0AGklAAAAAOgA0koAAAAA0AGklQAAAACgA0grAQAAAEAHkFYCAAAAgA4grQQAAAAAHUBaCQAAAAA6wNZ3AAAAA0pFRcXJkyeZzevXrxNCUlJSmBKxWPzHP/5RD5EBAPQyFkVR+o4BAGDgePnypbW1dV1dnbGxMSGE/h3LYrHoWpVKtXTp0r///e96jBAAoJfgITgAgC7xeLz58+ez2WyVSqVSqZqbm5ubm1W/IYQsWrRI3zECAPQK3K0EANCxCxcuvPPOO+1WmZmZVVRUsNl4AQkABiDcrQQA0LEZM2ZYWVm1LedwOEuWLEFOCQADFdJKAAAdMzIyWrx4MYfDaVWuUqkwWAcABjA8BAcA0L1///vfEydObFU4ePDgkpISZvgOAMAAg7uVAAC698Ybbzg5OWmWcLncpUuXIqcEgAEMaSUAQK/48MMPNZ+DNzU14Qk4AAxseAgOANAr7ty5M3z4cGZTJpMVFhbqMR4AgN6Gu5UAAL3C3d19xIgR9FNvDoezfPlyfUcEANC7kFYCAPSWjz76iF5rp7m5GU/AAWDAw0NwAIDe8uTJk6FDh1IUNW7cOHpxcACAAQx3KwEAeoujoyM9zdDSpUv1HQsAQK/DYg8AHbp69Wp8fLy+o4D+7eXLlywW69y5c5cvX9Z3LNC/HTt2TN8hAHQBdysBOlRcXHz8+HF9RwFa+fnnn3/++Wd9R9EOBwcHGxsbPp+vk9ZKSkrwnXwN4bpDf4G7lQBdwB2CfsHf358Y6sW6f/++TCbTSVPp6ekLFy40zNOE3kNfd31HAdA13K0EAOhdusopAQAMHNJKAAAAANABpJUAAAAAoANIKwEAAABAB5BWAgAAAIAOIK0EgNfXmTNnTE1Nv//+e30H0lvOnz8fFhZ24sQJqVTKYrFYLNaHH36oucPMmTPFYrGxsfHIkSNv3LjR9xEacmyEkNjYWHd3d4FAIBKJ3N3dIyIi5HK55g6HDx+eMGGCWCx2cnJavnx5WVlZu+00Nja6u7tv2bKF3vzuu+9iY2PVanWvnwBA30JaCQCvr4G9eu2f//znxMTEzZs3+/n5PXjwwMXFZdCgQYcOHfrhhx+Yfc6dO3fs2LE5c+YUFBSMHTu274M05NgIIf/7v//7pz/96cmTJ8+fP9++fXtsbOz8+fOZ2qNHjy5evNjf37+kpOTUqVOXL1+eNWtWc3Nz23bCw8Pv3r3LbPr4+PD5/LfffrumpqYvTgOgryCtBIDXl7e3d21t7Zw5c3r7QEql0svLq7ePomnnzp1paWnp6elisZgpTExMNDIyCgwMrK2t7ctgtGGYsXG53DVr1lhZWZmYmPj7+8+bN++nn3569uwZXfvNN98MHjw4JCTE1NTU09Nz/fr1eXl5165da9XIlStXbt261apw3bp1Y8aMmT17drtpKEA/hbQSAKDXHThwoLy8vM8Od//+/YiIiG3btrVa3cfLyys4OPjp06cbN27ss2C0ZJixZWRkaPahvb09IaSuro7eLC4utrOzY7FY9OaQIUMIIY8fP9ZsQalUhoSEJCQktG1869ateXl57VYB9FNIKwHgNZWTk+Po6Mhisb766itCSHJyskgkEgqFp06dmjVrlkQicXBwOHLkCL1zYmIin8+3trZetWqVnZ0dn8/38vJi7ksFBQVxuVxbW1t6c82aNSKRiMViVVZWEkKCg4M3bNhQVFTEYrHoqdHPnj0rkUh27NjRS6eWmJhIUZSPj0/bqujoaDc3t/37958/f77dz1IUFR8fP3z4cB6PZ25uPm/evDt37tBVnXcRIUStVkdGRjo6OgoEgtGjRx89erRbYRtybLTCwkIzMzMnJyd6UyqVav5vgX6xUiqVan4kPDycvt/ZtjVzc/Np06YlJCQM7Jcx4PVCAUAH6D88+o4CtDJ//vz58+d391PFxcWEkL1799Kb4eHhhJALFy7U1taWl5dPnTpVJBI1NTXRtYGBgSKR6Pbt242NjQUFBfRAjSdPntC1ixcvtrGxYVqOi4sjhFRUVNCbfn5+Li4uTO3p06fFYnFUVFR3A9byOymVSkeMGNGq0MXF5eHDhxRFXblyxcjIaOjQoXV1dRRFZWVlzZ07l9ktMjKSy+UePHiwpqbm5s2bY8eOtbS0LCsro2s776KNGzfyeLzjx49XV1dv3rzZyMjol19+0ea8DDk2iqKamppKSkr27t3L4/EOHjzIlGdnZ3M4nMTERLlcfuvWreHDh7/33nuaH8zJyfHx8aEoqqKighASHh7equWwsDBCSG5ubucB4HcR9Be4WwkA8F+8vLwkEomVlVVAQEB9ff2TJ0+YKjabTd8qGzFiRHJyskKhSE1N7cEhvL295XJ5RESE7qL+P/X19Q8fPnRxceloh8mTJ3/++eePHj3atGlTqyqlUhkfH//BBx8sWbLE1NR01KhRX3/9dWVlZUpKiuZu7XZRY2NjcnKyr6+vn5+fmZnZli1bOBxOd/vHMGMbMmSIg4PD1q1bd+3apbk297Rp00JDQ4OCgiQSiYeHh0Kh2L9/v2bAwcHBycnJnbTs6upKCMnPz9cyEgADh7QSAKB9XC6XEKJSqdqtHT9+vFAoZB7CGo7y8nKKooRCYSf7REdHDxs2LCkpKScnR7O8oKCgrq5u/PjxTMmECRO4XG7bYSg0zS66e/duQ0ODh4cHXSUQCGxtbXvQPwYYW3FxcXl5+eHDh7/99tvf/e53zIPv8PDwlJSUCxcu1NXVPXjwwMvLa/LkyfQtcELI5s2bV65cSb+O2RH6Mj1//lzLSAAMHNJKAIAe4vF49MNNg9LY2EgI4fF4nezD5/NTU1NZLNaKFSuUSiVTTs93Y2JiormzmZmZQqHo8rj19fWEkC1btrB+8/jx44aGhu7Gb4CxcTgcKyurmTNnpqWlFRQUxMTEEEKePXsWGxu7cuXKt956SyQSOTs779u3r7S0lH7/IScnJz8//5NPPum8ZYFAQH67ZAADANJKAICeUKlUNTU1Dg4O+g6kNTpT6XKq7cmTJ69fv76wsHD79u1MoZmZGSGkVaKm5WnSo1L27Nmj+aLV1atXe3AKBhubTCYzNjYuKCgghBQWFqrV6sGDBzO1EonEwsKCrj1w4MCFCxeMjIzoLJYOYMeOHSwW6/r168xHmpqayG+XDGAAQFoJANAT2dnZFEVNmjSJ3mSz2R09Lu9j1tbWLBZLm9kft2/f7u7unpuby5R4eHiYmJho5j3Xrl1ramoaN25cl60NGTKEz+fn5eX1LGwDjO3FixeLFi3SLKFTSXoiITqdZeawJIQoFIqqqiq6NjU1VTOF1Ryyo/kcn75MNjY23QoMwGAhrQQA0FZLS0t1dXVzc/PNmzeDg4MdHR2XLVtGV8lksqqqqszMTJVKVVFR0WryQgsLi9LS0kePHikUCpVKlZWV1XsTDAmFQqlUWlJS0uWe9ONmY2NjzZINGzZkZGQcOnRILpfn5+evXr3azs4uMDBQm9aWL19+5MiR5ORkuVyuVqtLSkrorCsgIMDGxqZbCzAaQmwikejcuXMXL16Uy+UqlSo3N3fp0qUikWj9+vWEEGdn5xkzZuzbt+/y5ctKpbK4uJiO5OOPP9b+NOnLNGrUKO0/AmDQenuoOUD/hUk9+pEeTDC0d+9eeqZJoVDo4+OTlJREj59wdXUtKipKSUmRSCSEECcnp3v37lEUFRgYyOFw7O3t2Wy2RCKZN29eUVER09qLFy9mzJjB5/OdnZ0/++yzkJAQQohMJqNnILpx44aTk5NAIHjzzTfLysrOnDkjFoujo6O7e5pafieDgoI4HE5DQwO9mZGRQQ8Mt7S0XLt2baudQ0JCNCfxaWlpiYuLc3V15XA45ubmvr6+d+/epau67KKXL1+GhoY6Ojqy2WwrKys/P7+CggKKonx9fQkhkZGRbUM15NgoivLx8XF2djYxMeHxeC4uLgEBAfn5+UxtZWVlcHCwTCbj8XgmJiZTpkw5efJku+10NMGQt7e3vb19S0tLu59i4HcR9BcsCrOwAnQgPT194cKF+BnpF/z9/Qkhx44d671DrFq16tixYy9evOi9Q3RJy+/k/fv3hw8fnpqaumTJkr4JrHMtLS3Tp09ftmzZihUr9B1La3qM7cWLFw4ODtHR0Rs2bOh8T/wugv4CD8EBALTV5TgYAyGTyaKioqKiophlBvVIrVZnZmYqFIqAgAB9x9KafmPbunWrp6dnUFBQ3x8aoJcgrQQAGIDCwsL8/f0DAgK0GbvTq7Kzs0+cOJGVldX5VJp6ocfY4uPj8/Lyzpw5w+Fw+vjQAL0HaSWALn3yySdisZjFYulqPOyri4qKGjFihEQi4fF4Mpnsiy++0PIO1okTJ6RSKUsDl8u1traePn16XFxcdXV1b0duUDZv3pyamlpbW+vs7Hz8+HF9h6OVHTt2BAUFffnll/oN4+233/7nP//JLJhuUPQV26lTp16+fJmdnW1ubt7HhwboVUgrAXRp//79+/bt03cU/+XixYtr16599OhRZWVlTExMQkIC/Rpil/z8/B48eODi4mJqakpRVEtLS3l5eXp6urOzc2ho6MiRIzWnehnwYmJiXr58SVHUw4cP58+fr+9wtDVz5sydO3fqOwpobe7cuWFhYZrj3AEGBqSVAAOciYlJYGCghYWFWCxesGCBr6/v2bNnmfXltMdisczMzKZPn56ampqenv78+XNvb2+9P2AFAADDgbQSQMdYLJa+Q/gvp0+f1rwpYmlpSQjpwZJ6mubPn79s2bLy8vKvv/76VeMDAICBAmklwKuiKCouLm7YsGE8Hs/U1JSesJChVqsjIyMdHR0FAsHo0aPp+eeSk5NFIpFQKDx16tSsWbMkEomDg8ORI0eYT126dOmNN94QCoUSiWTUqFFyubyjprrr6dOnAoHA2dmZ3jx79mzP5uWmpwHPysoyzNMEAIC+h7QS4FVFRESEhoYGBgY+f/68rKxs06ZNmrWbNm3atWvXnj17nj17NmfOnEWLFl2/fv3TTz/9/PPPlUqlWCw+evRoUVGRVCr905/+RK/+V19f7+PjM3/+/KqqqsLCQjc3N3rh4Hab6laoDQ0NFy9e/NOf/sTlcukSesaclpaW7p61p6cnIeTBgwcGeJoAAKAfepyKHcDAabOyRUNDg1AofPfdd5kS+m5cbm4uRVFKpVIoFAYEBDA783i8Tz/9lKKo8PBwQohSqaSrkpKSCCH379+nKOrWrVuEkNOnT2seqJOmtBceHu7m5iaXy7X/CDNkpy36bUsDOc0erLLTH2G1ldcTrjv0F2x9pbMAA8P9+/cbGhrefvvtdmvv3r3b0NDg4eFBbwoEAltb2zt37rTdk759SN/Gk0ql1tbWS5YsWbdu3bJly4YOHdqtpjqSkZGRnp5+7tw5sVjcjTPsQH19PUVR9Pp4BnKax48fN7QXW3vJa3KaANDvIK0EeCUlJSWEECsrq3Zr6+vrCSFbtmzZsmULU2hnZ9d5mwKB4OLFi5s2bdqxY0dUVNSCBQtSU1N71hQjLS0tPj4+Ozt78ODBWn6kc/fu3SOEuLu7E4M5zUmTJn3++efdP5X+5OrVqwkJCXjf9HVDX3d9RwHQNaSVAK+Ez+cTQl6+fNluLZ1u7tmzJzg4uFvNjhw58vvvv6+oqIiPj9+5c+fIkSPpxeV60BQhZO/evT/++OPFixdNTEy6+9mOnD17lhAya9YsYjCn6eDgsGDBgu5+qt9JSEh4HU4TWkFaCf0ChuwAvBIPDw8jI6NLly61WztkyBA+n9/dFXdKS0tv375NCLGysvryyy/Hjh17+/btnjVFUVRoaGh+fn5mZqYOc8qysrI9e/Y4ODisWLGCGMBpAgCAIUBaCfBKrKys/Pz8jh8/fuDAAblcfvPmzZSUFKaWz+cvX778yJEjycnJcrlcrVaXlJQ8e/as8zZLS0tXrVp1586dpqam3Nzcx48fT5o0qWdN3b59e9euXfv27eNwOJrLMO7evZveISsrq8sJhiiKqqura2lpoSiqoqLi6NGjU6ZMMTY2zszMpN+t1PtpAgCAQdDviCEAQ6bl6EuFQvHJJ58MGjTIxMTkzTffjIyMJIQ4ODj8+uuvFEW9fPkyNDTU0dGRzWbTOWhBQUFSUpJQKCSEuLq6FhUVpaSk0PmZk5PTvXv3Hj165OXlZW5ubmxsPHjw4PDw8Obm5o6a6jy2/Pz8dn/w4+Li6B3OnDkjFoujo6Pbfva7774bPXq0UCjkcrlGRkbkt4V23njjjaioqBcvXmjurN/TpDASHAY0XHfoL1gURfVN/grQ76Snpy9cuBA/I/0CvdD5sWPH9B1I78J38vWE6w79BR6CAwAAAIAOIK0E6Mfu3LnD6hg9qhpeZ+fPnw8LCztx4oRUKqW/FR9++KHmDjNnzhSLxcbGxiNHjrOdgKcAACAASURBVLxx40bfR2jIsTFaWlr27Nnj5eXVqjwqKmrEiBESiYTH48lksi+++KKurk5zh8OHD0+YMEEsFjs5OS1fvrysrIwu/+6772JjY+k1rgAGFP0+gwcwZHifqR/Bu5VtRUZGzpkzh1lUycXFZdCgQaTNykZZWVlz587VcaDdZMix3bt3b8qUKYSQMWPGtKqaNm1aUlLSixcv5HL50aNHORzO+++/z9SmpaURQmJjY2tqanJzc6VSqaenp0qlomsTEhKmTZtWXV2tTQz4XQT9Be5WAgBoRalUtr1fpfemOrJz5860tLT09HTNRZUSExONjIwCAwNra2t79eg9YJix/frrr5s2bVq9erWnp2fbWhMTk8DAQAsLC7FYvGDBAl9f37NnzxYXF9O133zzzeDBg0NCQkxNTT09PdevX5+Xl3ft2jW6dt26dWPGjJk9e3Zzc3PfnQ9AL0NaCQCglQMHDpSXlxtaU+26f/9+RETEtm3b6On6GV5eXsHBwU+fPt24cWPvHb1nDDO2MWPGnDhxYvHixTwer23t6dOnjY2NmU1LS0tCSENDA71ZXFxsZ2fHrLQ5ZMgQQsjjx4+Z/bdu3ZqXl4d5zmEgQVoJAK8RiqLi4+OHDx/O4/HMzc3nzZvHLDgeFBTE5XJtbW3pzTVr1ohEIhaLVVlZSQgJDg7esGFDUVERi8WSyWSJiYl8Pt/a2nrVqlV2dnZ8Pt/Ly4u5EdWtpgghZ8+e7XL20G5JTEykKMrHx6dtVXR0tJub2/79+8+fP9/dLkpOThaJREKh8NSpU7NmzZJIJA4ODkeOHGE+q1arIyMjHR0dBQLB6NGju7vIpCHHpo2nT58KBAJnZ2d6UyqVav7ngX6xUiqVMiXm5ubTpk1LSEigMMQbBgy9PoIHMGh4n6kf0fLdysjISC6Xe/DgwZqamps3b44dO9bS0rKsrIyuXbx4sY2NDbNzXFwcIaSiooLe9PPzc3FxYWoDAwNFItHt27cbGxsLCgrokRlPnjzpQVOnT58Wi8VRUVFdxq/ld1IqlY4YMaJVoYuLy8OHDymKunLlipGR0dChQ+vq6qg27y923kXh4eGEkAsXLtTW1paXl0+dOlUkEjU1NdG1Gzdu5PF4x48fr66u3rx5s5GR0S+//NJltAYeG23ixIlt363UVF9fLxaLg4KCmJLs7GwOh5OYmCiXy2/dujV8+PD33nuv1afCwsIIIbm5uZ0fHb+LoL/A3UoAeF0olcr4+PgPPvhgyZIlpqamo0aN+vrrrysrKzUXRuoWNptN3zkbMWJEcnKyQqFITU3tQTve3t5yuTwiIqJnYbRSX1//8OFDFxeXjnaYPHny559//ujRo02bNrWq0rKLvLy8JBKJlZVVQEBAfX39kydPCCGNjY3Jycm+vr5+fn5mZmZbtmzhcDjd7RBDjq1zMTExdnZ20dHRTMm0adNCQ0ODgoIkEomHh4dCodi/f3+rT7m6uhJCOlq2AKDfQVoJAK+LgoKCurq68ePHMyUTJkzgcrnMw+tXMX78eKFQyDyT1aPy8nKKouj1jToSHR09bNiwpKSknJwczfLudhGXyyWEqFQqQsjdu3cbGho8PDzoKoFAYGtr24MOMeTYOpKRkZGenv7jjz9qDpAKDw9PSUm5cOFCXV3dgwcPvLy8Jk+ezAzoodGX6fnz57qKBEC/kFYCwOuipqaGEGJiYqJZaGZmplAodNI+j8erqKjQSVOvorGxkQ6mk334fH5qaiqLxVqxYoVSqWTKX6WL6uvrCSFbtmxhZk59/PgxM35Fe4YcW7vS0tJ27tyZnZ09dOhQpvDZs2exsbErV6586623RCKRs7Pzvn37SktL6dchGAKBgPx2yQAGAKSVAPC6MDMzI4S0ykJqamocHBxevXGVSqWrpl4Rnal0OdX25MmT169fX1hYuH37dqbwVbrIysqKELJnzx7NF62uXr3ag1Mw5Nha2bt376FDhy5evDh48GDN8sLCQrVarVkokUgsLCwKCgo0d2tqaiK/XTKAAQBpJQC8Ljw8PExMTK5fv86UXLt2rampady4cfQmm82mn5n2QHZ2NkVRkyZNevWmXpG1tTWLxdJm9sft27e7u7vn5uYyJV12USeGDBnC5/Pz8vJ6FnY/io1GUVRoaGh+fn5mZmare6iEEDrZffbsGVOiUCiqqqroaYYY9GWysbHRYWAAeoS0EgBeF3w+f8OGDRkZGYcOHZLL5fn5+atXr7azswsMDKR3kMlkVVVVmZmZKpWqoqJCc4pBQoiFhUVpaemjR48UCgWdMra0tFRXVzc3N9+8eTM4ONjR0XHZsmU9aCorK0uHEwwJhUKpVFpSUqJNh6SmpmrOvNhlF3Xe2vLly48cOZKcnCyXy9VqdUlJCZ1XBQQE2NjYdGsBRkOOjXb79u1du3bt27ePw+FoLpq6e/duQoizs/OMGTP27dt3+fJlpVJZXFxMx/nxxx9rNkJfplGjRnX36AAGqg9HnQP0M5jUox/RcoKhlpaWuLg4V1dXDodjbm7u6+t79+5dpvbFixczZszg8/nOzs6fffZZSEgIIUQmk9HTBt24ccPJyUkgELz55ptlZWWBgYEcDsfe3p7NZkskknnz5hUVFfWsqTNnzojF4ujo6C7j1/I7GRQUxOFwGhoa6M2MjAx6YLilpeXatWtb7RwSEqI5iU8nXZSUlEQPMXF1dS0qKkpJSZFIJIQQJyene/fuURT18uXL0NBQR0dHNpttZWXl5+dXUFBAUZSvry8hJDIysm2ohhwbRVFXr16dMmWKnZ0d/RfT1tbWy8vr0qVLFEV1NHw7Li6O/mxlZWVwcLBMJuPxeCYmJlOmTDl58mSr9r29ve3t7VtaWto9OgO/i6C/YFGYhRWgA+np6QsXLsTPSL/g7+9PCDl27FifHXHVqlXHjh178eJFnx2RaP2dvH///vDhw1NTU5csWdI3gXWupaVl+vTpy5YtW7Fihb5jaU2Psb148cLBwSE6OnrDhg2d74nfRdBf4CE4AEAPdTksRl9kMllUVFRUVFRdXZ2+YyFqtTozM1OhUAQEBOg7ltb0G9vWrVs9PT2DgoL6/tAAvQRpJQDAABQWFubv7x8QEKDN2J1elZ2dfeLEiaysrM6n0tQLPcYWHx+fl5d35swZDofTx4cG6D1IKwEAum3z5s2pqam1tbXOzs7Hjx/Xdzjt27FjR1BQ0JdffqnfMN5+++1//vOfzArpBkVfsZ06derly5fZ2dnm5uZ9fGiAXsXWdwAAAP1PTExMTEyMvqPo2syZM2fOnKnvKKC1uXPnzp07V99RAOge7lYCAAAAgA4grQQAAAAAHUBaCQAAAAA6gLQSAAAAAHQAQ3YAupCenq7vEKBr9CJ4A/5iXb16lbwGpwmt0NcdwPBhlR2ADtErW+g7CgAAQgjB32swfEgrAQB6EZbdA4DXB96tBAAAAAAdQFoJAAAAADqAtBIAAAAAdABpJQAAAADoANJKAAAAANABpJUAAAAAoANIKwEAAABAB5BWAgAAAIAOIK0EAAAAAB1AWgkAAAAAOoC0EgAAAAB0AGklAAAAAOgA0koAAAAA0AGklQAAAACgA0grAQAAAEAHkFYCAAAAgA4grQQAAAAAHUBaCQAAAAA6gLQSAAAAAHQAaSUAAAAA6ADSSgAAAADQAaSVAAAAAKADSCsBAAAAQAeQVgIAAACADiCtBAAAAAAdQFoJAAAAADqAtBIAAAAAdABpJQAAAADoANJKAAAAANABpJUAAAAAoANIKwEAAABAB5BWAgAAAIAOIK0EAAAAAB1g6zsAAIABpaSkZOnSpWq1mt6srq4Wi8XTp09ndhg2bNg333yjn+AAAHoT0koAAF1ycHB4/PhxUVGRZuGlS5eYf//+97/v86AAAPoCHoIDAOjYRx99xOFwOqoNCAjoy2AAAPoMi6IofccAADCgFBUVubq6tvvbdeTIkbdu3er7kAAA+gDuVgIA6JiLi8vo0aNZLFarcg6Hs3TpUr2EBADQB5BWAgDo3kcffWRsbNyqsLm52d/fXy/xAAD0ATwEBwDQvWfPnjk4OLS0tDAlRkZGEydOvHLlih6jAgDoVbhbCQCge3Z2dlOmTDEy+r/fsUZGRh999JEeQwIA6G1IKwEAesWHH36ouUlR1AcffKCvYAAA+gDSSgCAXjF//nzm9UpjY+N33nnH2tpavyEBAPQqpJUAAL3C3Nz83XffpTNLiqKWLFmi74gAAHoX0koAgN6yZMkSetQOh8OZN2+evsMBAOhdSCsBAHqLj48Pj8cjhMyZM8fExETf4QAA9C6klQAAvUUkEtE3KfEEHABeB5i3El5r6enpCxcu1HcUAACvCn/NwRCw9R0AgP4dPXpU3yFA1/bs2UMI+fzzz/UdSPeo1eqjR48uWrRIy/2vXr2akJCA7yRoj/7O6DsKAEKQVgIQQhYsWKDvEKBrx44dI/3zYvn6+vL5fO33T0hI6I+nCXqEtBIMBN6tBADoXd3KKQEA+i+klQAAAACgA0grAQAAAEAHkFYCAAAAgA4grQQAAAAAHUBaCQAD2ZkzZ0xNTb///nt9B6If58+fDwsLO3HihFQqZbFYLBbrww8/1Nxh5syZYrHY2Nh45MiRN27c6PsIDTk2RktLy549e7y8vFqVR0VFjRgxQiKR8Hg8mUz2xRdf1NXVae5w+PDhCRMmiMViJyen5cuXl5WV0eXfffddbGysWq3uoxMA6CtIKwFgIHud54j+85//nJiYuHnzZj8/vwcPHri4uAwaNOjQoUM//PADs8+5c+eOHTs2Z86cgoKCsWPH9n2QhhwbrbCw8Pe///369esbGhpaVV28eHHt2rWPHj2qrKyMiYlJSEjw9/dnao8ePbp48WJ/f/+SkpJTp05dvnx51qxZzc3NhBAfHx8+n//222/X1NT06ckA9DKklQAwkHl7e9fW1s6ZM6e3D6RUKtvezdKjnTt3pqWlpaeni8VipjAxMdHIyCgwMLC2tlaPsbXLMGP79ddfN23atHr1ak9Pz7a1JiYmgYGBFhYWYrF4wYIFvr6+Z8+eLS4upmu/+eabwYMHh4SEmJqaenp6rl+/Pi8v79q1a3TtunXrxowZM3v2bDrRBBgYkFYCAOjAgQMHysvL9R3F/+/+/fsRERHbtm1rNWWml5dXcHDw06dPN27cqK/YOmKYsY0ZM+bEiROLFy/m8Xhta0+fPm1sbMxsWlpaEkKYm5rFxcV2dnYsFoveHDJkCCHk8ePHzP5bt27Ny8vDTOYwkCCtBIABKycnx9HRkcViffXVV4SQ5ORkkUgkFApPnTo1a9YsiUTi4OBw5MgReufExEQ+n29tbb1q1So7Ozs+n+/l5cXcWwoKCuJyuba2tvTmmjVrRCIRi8WqrKwkhAQHB2/YsKGoqIjFYslkMkLI2bNnJRLJjh079HDahCQmJlIU5ePj07YqOjrazc1t//7958+fb/ezFEXFx8cPHz6cx+OZm5vPmzfvzp07dFXnHUgIUavVkZGRjo6OAoFg9OjR3V2C0pBj08bTp08FAoGzszO9KZVKNf+nQb9YKZVKmRJzc/Np06YlJCS8zq9qwEBDAbzG6D8t+o4CtDJ//vz58+d391P0E8m9e/fSm+Hh4YSQCxcu1NbWlpeXT506VSQSNTU10bWBgYEikej27duNjY0FBQX0YIsnT57QtYsXL7axsWFajouLI4RUVFTQm35+fi4uLkzt6dOnxWJxVFRUdwPWyXdSKpWOGDGiVaGLi8vDhw8pirpy5YqRkdHQoUPr6uooisrKypo7dy6zW2RkJJfLPXjwYE1Nzc2bN8eOHWtpaVlWVkbXdt6BGzdu5PF4x48fr66u3rx5s5GR0S+//KJNwIYcG23ixIljxozpZIf6+nqxWBwUFMSUZGdnczicxMREuVx+69at4cOHv/fee60+FRYWRgjJzc3VPpK28HsMDAfuVgLAa8fLy0sikVhZWQUEBNTX1z958oSpYrPZ9M2wESNGJCcnKxSK1NTUHhzC29tbLpdHREToLmpt1dfXP3z40MXFpaMdJk+e/Pnnnz969GjTpk2tqpRKZXx8/AcffLBkyRJTU9NRo0Z9/fXXlZWVKSkpmru124GNjY3Jycm+vr5+fn5mZmZbtmzhcDjd7T1Djq1zMTExdnZ20dHRTMm0adNCQ0ODgoIkEomHh4dCodi/f3+rT7m6uhJC8vPzdRgJgB4hrQSA1xeXyyWEqFSqdmvHjx8vFAqZx6z9RXl5OUVRQqGwk32io6OHDRuWlJSUk5OjWV5QUFBXVzd+/HimZMKECVwul3kZoBXNDrx7925DQ4OHhwddJRAIbG1te9B7hhxbRzIyMtLT03/88UfNAVLh4eEpKSkXLlyoq6t78OCBl5fX5MmTmQE9NPoyPX/+XFeRAOgX0koAgA7xeLyKigp9R9E9jY2NhJB2h5gw+Hx+amoqi8VasWKFUqlkyun5bkxMTDR3NjMzUygUXR63vr6eELJlyxbWbx4/ftx2Up4uGXJs7UpLS9u5c2d2dvbQoUOZwmfPnsXGxq5cufKtt94SiUTOzs779u0rLS2l351gCAQC8tslAxgAkFYCALRPpVLV1NQ4ODjoO5DuoTOVLqfanjx58vr16wsLC7dv384UmpmZEUJaJWpadoKVlRUhZM+ePZovWl29erUHp2DIsbWyd+/eQ4cOXbx4cfDgwZrlhYWFarVas1AikVhYWBQUFGju1tTURH67ZAADANJKAID2ZWdnUxQ1adIkepPNZnf0uNygWFtbs1gsbWZ/3L59u7u7e25uLlPi4eFhYmJy/fp1puTatWtNTU3jxo3rsrUhQ4bw+fy8vLyehd2PYqNRFBUaGpqfn5+ZmdnqHiohhE52nz17xpQoFIqqqip6miEGfZlsbGx0GBiAHiGtBAD4Py0tLdXV1c3NzTdv3gwODnZ0dFy2bBldJZPJqqqqMjMzVSpVRUWF5gSEhBALC4vS0tJHjx4pFAqVSpWVlaWvCYaEQqFUKi0pKelyT/pxs+bMi3w+f8OGDRkZGYcOHZLL5fn5+atXr7azswsMDNSmteXLlx85ciQ5OVkul6vV6pKSEjqvCggIsLGx6dYCjIYcG+327du7du3at28fh8Nhadi9ezchxNnZecaMGfv27bt8+bJSqSwuLqbj/PjjjzUboS/TqFGjunt0AAPVh6POAQwOJuboR3owwdDevXvpmSaFQqGPj09SUhI9QsLV1bWoqCglJUUikRBCnJyc7t27R1FUYGAgh8Oxt7dns9kSiWTevHlFRUVMay9evJgxYwafz3d2dv7ss89CQkIIITKZjJ6B6MaNG05OTgKB4M033ywrKztz5oxYLI6Oju7uaerkOxkUFMThcBoaGujNjIwMemC4paXl2rVrW+0cEhKiOYlPS0tLXFycq6srh8MxNzf39fW9e/cuXdVlB758+TI0NNTR0ZHNZltZWfn5+RUUFFAU5evrSwiJjIxsG6ohx0ZR1NWrV6dMmWJnZ0f/xbS1tfXy8rp06RJFUf9fe/caE8X1/gH8LCzsBZZLFYSCUG6CFZG21gjYSGMkoRRRkbKxNEUjkWq7otQAKhQRIZYGqC3EUA19oaGAWLCVNY0xYG2piRG8YJGLRUVuiuICy33n/2L6m/8WEHZhlxnw+3m3c2bOPGd22DycmXPOy4ZvZ2Rk0Mc+ffo0JibG1dVVIBCYmpr6+fn9/PPPY+oPCgqys7NTqVQTnl1D+B0D7uBRmIUVXmFFRUXh4eH4K5gT6NWWi4uL9XeK6Ojo4uLirq4u/Z1iSjq5JxsbG5cuXZqfnx8REaGrwGZCpVL5+/tHRkZu376d7VjGYjG2rq4ue3v71NTU2NjYmdSD3zHgDjwEBwD4f1OOdJkTXF1dU1JSUlJSent72Y6FjI6OlpaW9vT0SKVStmMZi93YkpOTvb29ZTLZ7J8aQE+QVgJoZ8eOHRKJhMfj6fb1/5k4duyYh4eHSCQyMTHx8PBITExUKBSaHFhSUuLs7Kz+WpixsbG1tbW/v39GRsbz58/1HTnoT0JCQlhYmFQq1WTsjl5VVFSUlJTI5fLJp9JkBYuxZWZm1tTUlJeXGxkZzfKpAfQHaSWAdk6ePPnDDz+wHcV//P7771FRUQ8fPuzo6Dhy5MixY8e2bNmiyYGhoaH37993cXExNzenKEqlUnV2dhYVFTk5OcXFxS1btkx91O28d+DAgfz8/BcvXjg5OZ09e5btcHTg6NGjMpksPT2d3TDWrVt35swZZjl1TmErtrKyssHBwYqKCktLy1k+NYBe8dkOAABmytjYePfu3UKhkBASFhZWXFxcXFzc1tbGjDPQEI/Hs7Cw8Pf39/f3DwoKCg8PDwoKqq+vNzc310/g3JKWlpaWlsZ2FDoWEBAQEBDAdhQwVkhISEhICNtRAOgeeisBtMbj8dgO4T/OnTtH55Q0Ozs7QsgMX6rbsmVLZGRkZ2fniRMnZhofAAC8GpBWAkyNoqiMjAx3d3eBQGBubk7PLMMYHR1NSkpycHAQiUReXl70ZB+5ubkmJiZisbisrCwwMNDMzMze3r6goIA5qrKyctWqVWKx2MzMbPny5fTbkBNWpa2GhgYLCwtHR0f648WLF6c3gSI9X6NcLudmMwEAgGuQVgJMLTExMS4ubufOnR0dHe3t7fHx8eql8fHxX3/9dVZWVltbW3Bw8NatW69fv75r1669e/f29/dLJJLCwsKmpiZnZ+eoqCh6mZa+vr4NGzZs2bLl2bNnDQ0NS5Ysoddwm7AqDYMcHh5+/Pjx999/f+nSpe+++87Y2JjeTg9tVqlU2rba29ubEHL//n1ONRMAALiLzUkzAdimyTTCSqVSLBavX7+e2UL3xlVXV1MU1d/fLxaLpVIps7NAINi1axdFUQcPHiSE9Pf300U5OTmEkMbGRoqi7ty5Qwj59ddf1U80SVWaoNd/W7Bgwbfffjs0NKThURRFMUN2xqPftuRIM6cxHfpchKmtQVu4Z4A7MGQHYAqNjY1KpXLdunUTlt67d0+pVHp6etIfRSKRjY1NXV3d+D3p7kO6G8/Z2dna2joiImLPnj2RkZFvvPGGVlVN6NGjR93d3dXV1QkJCXl5eZcvX7a2ttauqf/V19dHURS9VAlHmtnS0lJUVDSTRnFfVVUVIWTeNxN0iL5nADiB7bwWgE2a/JdfXl5OCDl16hSzRb238o8//hj/Z7V69WpqXDcePS3R33//TX+8c+fOhx9+yOfzeTxeeHi4UqmcpCqt1NfXE0L27Nmj4f4v662kV0kOCAjgSDM1nDUJ4NWk4d87gF7h3UqAKdCDrAcHBycstbKyIoRkZWWp/11p0nmwbNmyX375pbW1NS4urrCw8Jtvvpl2VWO4uroaGhrW1tZqe+AYFy9eJIQEBgYSzjQTD8EBxsOgN+AOpJUAU/D09DQwMKisrJywdPHixUKhUNsVd1pbW+/evUsIsbKySk9Pf/vtt+/evTu9qrq6urZu3aq+paGhYXR0dPHixVrVM0Z7e3tWVpa9vT29UDLrzQQAAO5DWgkwBSsrq9DQ0LNnz546dUqhUNy6dSsvL48pFQqF27ZtKygoyM3NVSgUo6OjLS0tbW1tk9fZ2toaHR1dV1c3NDRUXV394MGD1atXT68qExOT33777fLlywqFYnh4uLq6+tNPPzUxMdm3bx+9g1wun3KCIYqient7VSoVRVFPnjwpLCz08/MzNDQsLS2l361kvZkAADAHsN15D8AmDR849vT07NixY8GCBaampmvWrElKSiKE2Nvb37x5k6KowcHBuLg4BwcHPp9P56C1tbU5OTn0KsNubm5NTU15eXl0fubo6FhfX9/c3Ozr62tpaWloaPj6668fPHhwZGTkZVVNGd6GDRucnJxMTU0FAoGLi4tUKr19+zZTWl5eLpFIUlNTxx94/vx5Ly8vsVhsbGxsYGBA/rfQzqpVq1JSUrq6utR3Zr2ZGAkOMCHcM8AdPIqiWEtpAdhWVFQUHh6Ov4I5ISwsjBBSXFzMdiD6hXsStIV7BrgDD8EBAAAAQAeQVgJwWl1dHe/lpFIp2wECAAD8C2klAKd5eHhM8hbLTz/9xHaAwLJLly4lJCSUlJQ4OzvT/2x88skn6jsEBARIJBJDQ8Nly5bRc5HOMi7HxlCpVFlZWb6+vuOLrl696ufnJxaLbW1t4+Lixsw1po/S8+fPHzt2jF52FWCOmZU3OAE4Cq+6zyEYsjNeUlJScHCwQqGgP7q4uCxYsICMWzBTLpeHhIToOFAtcTm2+vp6Pz8/QsiKFSvGFN25c0ckEiUmJvb29v75558LFy7ctm3bLJRmZ2evXbv2+fPnmsSP3zHgDtyI8ErDz/EcMgtppVKp9PHxYbcqze/J9PT0JUuWMOsbURTl4uJy5swZAwMDOzu77u5uZjsXUjfOxlZTU7N58+bTp097e3uPTyvDw8OdnJzoubcoisrIyODxeMwiUvorpShKJpP5+PgMDw9P2QT8jgF34CE4AMC/Tp061dnZybWqJtTY2JiYmHj48GF6FSiGr69vTEzM48ePv/zyS/2dfXq4GduKFStKSko+/vhjgUAwpmhkZOTChQtr167l8Xj0lsDAQIqiysrK9FpKS05Orqmpyc7O1mPjAXQNaSUAzCsURWVmZi5dulQgEFhaWm7cuLGuro4ukslkxsbGNjY29Mfdu3ebmJjweLynT58SQmJiYmJjY5uamng8nqur6/Hjx4VCobW1dXR0tK2trVAo9PX1vXbt2jSqIoRcvHhxyknptXL8+HGKojZs2DC+KDU1dcmSJSdPnrx06ZK2lyg3N9fExEQsFpeVlQUGBpqZmdnb2xcUFDDHjo6OJiUlOTg4iEQiLy8vbZcN5HJs492/f7+3t9fBwYHZ4uLiQgi5deuWXktplpaWa9euzc7OpjBzEMwdSCsB5EaHIAAABwFJREFUYF5JTk5OSEg4ePBgZ2fnlStXHj169N5773V0dBBCjh8//tFHHzF75uTkHD58mPmYnZ0dHBzs4uJCUVRjY6NMJouMjFQqlXv27Glubr5x48bIyMj69esfPXqkbVWEEHr4hUql0lUzL1y44O7uTs9FP4ZIJPrxxx8NDAyioqL6+vrG7zDJJdq1a9fevXv7+/slEklhYWFTU5Ozs3NUVNTw8DB9bHx8/Ndff52VldXW1hYcHLx169br169rHjaXYxuvvb2dECKRSJgtQqFQJBLR8eivlPHWW289fvz45s2bM2kFwGxCWgkA80d/f39mZubmzZsjIiLMzc2XL19+4sSJp0+fqq+3qRU+n0/3nL355pu5ubk9PT35+fnTqCcoKEihUCQmJk4vjDH6+vr++ecfun9rQj4+Pnv37m1ubo6Pjx9TpOEl8vX1NTMzs7KykkqlfX19Dx8+JIQMDAzk5uZu2rQpNDTUwsLi0KFDRkZG2l4QLsc2Bj0029DQUH2jkZFRf3+/XksZbm5uhJDbt2/PpBUAswlpJQDMH7W1tb29vStXrmS2vPvuu8bGxszD65lYuXKlWCxmnsmyqLOzk6KoCbsqGampqe7u7jk5OVevXlXfru0lMjY2JoTQPYL37t1TKpWenp50kUgksrGxmcYF4XJs6uj3VkdGRtQ3Dg0NiUQivZYy6K94TBcmAJchrQSA+aO7u5sQYmpqqr7RwsKip6dHJ/ULBIInT57opKqZGBgYoIOZZB+hUJifn8/j8bZv367eBzaTS0Q/tj506BAzIf+DBw+USqW28XM5NnX0u7MKhYLZolQqBwYGbG1t9VrKoLNM+usGmBOQVgLA/GFhYUEIGZOFdHd329vbz7zy4eFhXVU1Q3S2MeV02T4+Pvv27WtoaDhy5AizcSaXyMrKihCSlZWlPp9IVVXVNJrA5dgYTk5OEonkwYMHzBb6TVkvLy+9ljKGhobI/75ugDkBaSUAzB+enp6mpqbqAzWuXbs2NDT0zjvv0B/5fD4zwkNbFRUVFEWtXr165lXNkLW1NY/He/HixZR7HjlyxMPDo7q6mtky5SWaxOLFi4VCYU1NzfTCnkOx0fh8/gcffHDlyhVmrJVcLufxePQAfP2VMuiveNGiRTpsFIBeIa0EgPlDKBTGxsaeO3fu9OnTCoXi9u3bn332ma2t7c6dO+kdXF1dnz17VlpaOjw8/OTJE/XuIkLIa6+91tra2tzc3NPTQ6eMKpXq+fPnIyMjt27diomJcXBwiIyMnEZVcrlchxMMicViZ2fnlpYWTS5Ifn6++tCQKS/R5LVt27atoKAgNzdXoVCMjo62tLS0tbURQqRS6aJFi7RagJHLsTESExM7Ojq++uqrvr6+qqqqjIyMyMhId3d3fZfS6K94+fLl04gcgB16n3AdgMOwOsUcouEqOyqVKiMjw83NzcjIyNLSctOmTffu3WNKu7q63n//faFQ6OTk9MUXX+zfv58Q4urq+vDhQ4qibty44ejoKBKJ1qxZ097evnPnTiMjIzs7Oz6fb2ZmtnHjxqampulVVV5eLpFIUlNTp4xfw3tSJpMZGRkplUr647lz5+iB4QsXLvz888/H7Lx//371lWwmuUQ5OTn0MBE3N7empqa8vDwzMzNCiKOjY319PUVRg4ODcXFxDg4OfD7fysoqNDS0traWoqhNmzYRQpKSksaHyuXYKIqqqqry8/NjXmq0sbHx9fWtrKxkdqisrFy1apVAILC1td2/f//AwID64forpSgqKCjIzs6OWYnnZfA7BtzBozDPKrzCioqKwsPD8VcwJ4SFhRFCiouLZ+2M0dHRxcXFXV1ds3ZGovE92djYuHTp0vz8/IiIiNkJbHIqlcrf3z8yMnL79u1sxzIWl2ObRFdXl729fWpqamxs7OR74ncMuAMPwQEAXmrKYTFscXV1TUlJSUlJ6e3tZTsWMjo6Wlpa2tPTI5VK2Y5lLC7HNrnk5GRvb2+ZTMZ2IABaQFoJADAnJSQkhIWFSaVSTcbu6FVFRUVJSYlcLp98Kk1WcDm2SWRmZtbU1JSXlxsZGbEdC4AWkFYCAEzgwIED+fn5L168cHJyOnv2LNvhTOzo0aMymSw9PZ3dMNatW3fmzBlmhXRO4XJsL1NWVjY4OFhRUWFpacl2LADa4bMdAAAAF6WlpaWlpbEdxdQCAgICAgLYjgJ0KSQkJCQkhO0oAKYDvZUAAAAAoANIKwEAAABAB5BWAgAAAIAOIK0EAAAAAB3AkB2Af+fZBo7766+/yCvwZdHr9c37ZoIOabKMJ8DswCo78EqrqqrKzMxkOwoAgJmazQWoAF4GaSUAAAAA6ADerQQAAAAAHUBaCQAAAAA6gLQSAAAAAHQAaSUAAAAA6MD/AZiN3NuG8yWUAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 61
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a5Gbfhrhr_bP"
      },
      "source": [
        "def tokenize_text(text):\n",
        "  text = '<start> ' + text.lower() + ' <end>'\n",
        "  text_tensor = tokenizer.texts_to_sequences([text])\n",
        "  text_tensor = keras.preprocessing.sequence.pad_sequences(text_tensor, maxlen=max_length_in, padding=\"post\")\n",
        "  return text_tensor\n",
        "\n",
        "# Reversed map from a tokenizer index to a word\n",
        "index_to_word = dict(map(reversed, tokenizer.word_index.items()))\n",
        "\n",
        "# Given an input string, an encoder model (infenc_model) and a decoder model (infmodel),\n",
        "def decode_sequence(input_tensor):\n",
        "    # Encode the input as state vectors.\n",
        "    state = encoder_model.predict(input_tensor)\n",
        "\n",
        "    target_seq = np.zeros((1, 1))\n",
        "    target_seq[0, 0] = tokenizer.word_index['<start>']\n",
        "    curr_word = \"<start>\"\n",
        "    decoded_sentence = ''\n",
        "\n",
        "    i = 0\n",
        "    while curr_word != \"<end>\" and i < (max_length_out - 1):\n",
        "        output_tokens, h = inf_model.predict([target_seq, state])\n",
        "\n",
        "        curr_token = np.argmax(output_tokens[0, 0])\n",
        "\n",
        "        if (curr_token == 0):\n",
        "          break;\n",
        "\n",
        "        curr_word = index_to_word[curr_token]\n",
        "\n",
        "        decoded_sentence += ' ' + curr_word\n",
        "        target_seq[0, 0] = curr_token\n",
        "        state = h\n",
        "        i += 1\n",
        "\n",
        "    return decoded_sentence"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ral_uNaDQIDH"
      },
      "source": [
        "def tokens_to_seq(tokens):\n",
        "  words = list(map(lambda token: index_to_word[token] if token != 0 else '', tokens))\n",
        "  return ' '.join(words)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cUXSTcEHXBZL"
      },
      "source": [
        "Let's test the inference model with some inputs."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "15GNr4jq2E5s",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 731
        },
        "outputId": "3fc275e5-d150-4cd2-b194-5fe48ada08fe"
      },
      "source": [
        "texts = [\n",
        "    'here is',\n",
        "    'have a',\n",
        "    'please review',\n",
        "    'please call me',\n",
        "    'thanks for',\n",
        "    'let me',\n",
        "    'Let me know',\n",
        "    'Let me know if you',\n",
        "    'this sounds',\n",
        "    'is this call going to',\n",
        "    'can you get',\n",
        "    'is it okay',\n",
        "    'it should',\n",
        "    'call if there\\'s',\n",
        "    'gave her a',\n",
        "    'i will let',\n",
        "    'i will be',\n",
        "    'may i get a copy of all the',\n",
        "    'how is our trade',\n",
        "    'this looks like a',\n",
        "    'i am fine with the changes',\n",
        "    'please be sure this'\n",
        "]\n",
        "\n",
        "output = list(map(lambda text: (text, decode_sequence(tokenize_text(text))), texts))\n",
        "output_df = pd.DataFrame(output, columns=[\"input\", \"output\"])\n",
        "output_df.head(len(output))"
      ],
      "execution_count": null,
      "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>input</th>\n",
              "      <th>output</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>here is</td>\n",
              "      <td>the latest version of the presentation &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>have a</td>\n",
              "      <td>good weekend &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>please review</td>\n",
              "      <td>the attached outage report &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>please call me</td>\n",
              "      <td>at &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>thanks for</td>\n",
              "      <td>the help &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>let me</td>\n",
              "      <td>know if you have any questions &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>Let me know</td>\n",
              "      <td>if you have any questions &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>Let me know if you</td>\n",
              "      <td>have any questions &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>this sounds</td>\n",
              "      <td>good &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>is this call going to</td>\n",
              "      <td>go ? &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>can you get</td>\n",
              "      <td>a copy of the ngpl transportation deals ? thanks &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>is it okay</td>\n",
              "      <td>? &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>it should</td>\n",
              "      <td>be the &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>call if there's</td>\n",
              "      <td>have any questions &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>gave her a</td>\n",
              "      <td>copy of the attached &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>i will let</td>\n",
              "      <td>you know when you get a chance &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>i will be</td>\n",
              "      <td>in the office on friday &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>may i get a copy of all the</td>\n",
              "      <td>same version &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>18</th>\n",
              "      <td>how is our trade</td>\n",
              "      <td>? &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>19</th>\n",
              "      <td>this looks like a</td>\n",
              "      <td>good job &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>20</th>\n",
              "      <td>i am fine with the changes</td>\n",
              "      <td>to robin . &lt;end&gt;</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>21</th>\n",
              "      <td>please be sure this</td>\n",
              "      <td>is the final version &lt;end&gt;</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                          input                                                   output\n",
              "0   here is                       the latest version of the presentation <end>          \n",
              "1   have a                        good weekend <end>                                    \n",
              "2   please review                 the attached outage report <end>                      \n",
              "3   please call me                at <end>                                              \n",
              "4   thanks for                    the help <end>                                        \n",
              "5   let me                        know if you have any questions <end>                  \n",
              "6   Let me know                   if you have any questions <end>                       \n",
              "7   Let me know if you            have any questions <end>                              \n",
              "8   this sounds                   good <end>                                            \n",
              "9   is this call going to         go ? <end>                                            \n",
              "10  can you get                   a copy of the ngpl transportation deals ? thanks <end>\n",
              "11  is it okay                    ? <end>                                               \n",
              "12  it should                     be the <end>                                          \n",
              "13  call if there's               have any questions <end>                              \n",
              "14  gave her a                    copy of the attached <end>                            \n",
              "15  i will let                    you know when you get a chance <end>                  \n",
              "16  i will be                     in the office on friday <end>                         \n",
              "17  may i get a copy of all the   same version <end>                                    \n",
              "18  how is our trade              ? <end>                                               \n",
              "19  this looks like a             good job <end>                                        \n",
              "20  i am fine with the changes    to robin . <end>                                      \n",
              "21  please be sure this           is the final version <end>                            "
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 64
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8UkUEG3zXGfV"
      },
      "source": [
        "The predicted outputs are actually quite good. The grammar is correct and have a logical sense. Some predictions also show that the predictions are personalized based on the Enron dataset, for instance in the case of `here is - the latest version of the presentation`.\n",
        "The `please review - the attached outage report` also shows personalized prediction. This is consistent with the goal the task."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_prxReiseMmX"
      },
      "source": [
        "Save the Tokenizer and the Keras model for usage within the browser."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GjW-LTwqdAfO"
      },
      "source": [
        "import json \n",
        "\n",
        "with open( 'word_dict-final.json' , 'w' ) as file:    \n",
        "    json.dump( tokenizer.word_index , file)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "J1Fl5EhrYB9G"
      },
      "source": [
        "encoder_model.save('./encoder-model-final.h5')\n",
        "inf_model.save('./inf-model-final.h5')"
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}