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      "name": "2021-07-27-perform-feature-engineering-recsys.ipynb",
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        "# How to Perform Feature Engineering in Recommenders\n",
        "> Beginner to intermediate users are the target audience, which should have prior knowledge in python programming using libraries, such as pandas and NumPy. In addition, they should have a basic understanding of recommender systems, decision trees and feed forward neural networks.\n",
        "\n",
        "- toc: true\n",
        "- badges: false\n",
        "- comments: true\n",
        "- categories: [Featurization, FeatureEngineering]\n",
        "- image:"
      ]
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      "source": [
        "## Introduction\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "***RecSys2020 Tutorial: Feature Engineering for Recommender Systems***\n",
        "\n",
        "The selection of features and proper preparation of data for deep learning or machine learning models plays a significant role in the performance of recommender systems. To address this we propose a tutorial highlighting best practices and optimization techniques for feature engineering and preprocessing of recommender system datasets. The tutorial will explore feature engineering using pandas and Dask, and will also cover acceleration on the GPU using open source libraries like RAPIDS and NVTabular. Proposed length is 180min. We’ve designed the tutorial as a combination of a lecture covering the mathematical and theoretical background and an interactive session based on jupyter notebooks. Participants will practice the discussed features by writing their own implementation in Python. NVIDIA will host the tutorial on their infrastructure, providing dataset, jupyter notebooks and GPUs. Participants will be able to easily attend the tutorial via their web browsers, avoiding any complicated setup.\n",
        "\n",
        "Beginner to intermediate users are the target audience, which should have prior knowledge in python programming using libraries, such as pandas and NumPy. In addition, they should have a basic understanding of recommender systems, decision trees and feed forward neural networks.\n",
        "\n",
        "### What you'll learn?\n",
        "\n",
        "1. Different methods to create new features from raw data\n",
        "2. Handle big data\n",
        "3. Using GPU for faster data processing\n",
        "\n",
        "### Why is this important?\n",
        "\n",
        "Deep learning and advanced modeling techniques extract features from images and text but still faces difficulty in extracting quality features from tabular data. For this, we still need to learn and apply feature engineering techniques. \n",
        "\n",
        "### How it will work?\n",
        "\n",
        "1. ETL the raw data\n",
        "2. Exploratory analysis\n",
        "3. Feature engineering techniques\n",
        "4. Time series feature techniques\n",
        "5. Install and use RapidsAI's cuDF for faster processing \n",
        "\n",
        "### Who is this for?\n",
        "\n",
        "- People who are new in deep learning and feature engineering\n",
        "- People looking to improve their recommender models by adding more quality features\n",
        "\n",
        "### Important resources\n",
        "\n",
        "- [Notebook - Recsys'20 Feature Engineering Tutorial Part 1](https://nb.recohut.com/features/recsys/cudf/retail/bigdata/2021/06/19/recsys20-tutorial-feature-engineering-part-1.html)\n",
        "- [Notebook - Recsys'20 Feature Engineering Tutorial Part 2](https://nb.recohut.com/features/recsys/cudf/retail/bigdata/2021/06/19/recsys20-tutorial-feature-engineering-part-2.html)\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Define the goal\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "Events: View, AddToCart, Purchase\n",
        "\n",
        "Timeframe: Oct-2019 - April 2020\n",
        "\n",
        "As the dataset contains only interactions (positive samples), we need to define a goal/target to predict. There is a lot of literature about how to construct negative samples from the dataset in order to make the goal easier or harder to predict.\n",
        "\n",
        "We define our own goal and filter the dataset accordingly. For our tutorial, we decided that our goal is to predict if a user purchased an item:\n",
        "\n",
        "- Positive: User purchased an item\n",
        "- Negative: User added an item to the cart, but did not purchase it (in the same session)\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Dataset\n",
        "\n",
        "Duration: 10\n",
        "\n",
        "In our tutorial, we use the [eCommerce behavior data](https://www.kaggle.com/mkechinov/ecommerce-behavior-data-from-multi-category-store) from the multi-category store from the [REES46 Marketing Platform](https://rees46.com/) as our dataset, containing the user behavior (view/add to cart/ purchase) of an e-commerce shop over 7 months.\n",
        "\n",
        "### Download the data\n",
        "\n",
        "Oct'19 and Nov'19 data is on [Kaggle](https://www.kaggle.com/mkechinov/ecommerce-behavior-data-from-multi-category-store).\n",
        "\n"
      ]
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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LamOdMe1HnzB"
      },
      "source": [
        "Dec'19 to Apr'20 data is available in [this](https://drive.google.com/drive/folders/1Nan8X33H8xrXS5XhCKZmSpClFTCJsSpE) drive."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5Rx9DUCQHp--"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "muEAYt9MHrpY"
      },
      "source": [
        "**Importance advice**: One piece of advice is to use cuDF instead of pandas. Analyzing the dataset requires calculating different groupby combination multiple times by a data scientist. GPU acceleration can significantly speed up the calculations and enables you to run more comparisons.*\n",
        "\n",
        "### Statistics\n",
        "\n",
        "This dataset contains 285 million users' events from the eCommerce website.\n",
        "\n",
        "### Data split\n",
        "\n",
        "We split the dataset into train, validation and test set by the timestamp:\n",
        "\n",
        "- Training: October 2019 - February 2020\n",
        "- Validation: March 2020\n",
        "- Test: April 2020"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DGR7Zd4IHvNS"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZRzs-HicHxkm"
      },
      "source": [
        "### Pre-filtering\n",
        "\n",
        "We remove AddToCart Events from a session, if in the same session the same item was purchased.\n",
        "\n",
        "### Transformation\n",
        "\n",
        "```python\n",
        "def process_files(df_tmp, chunkname):\n",
        "    df_tmp['session_purchase'] =  df_tmp['user_session'] + '_' + df_tmp['product_id'].astype(str)\n",
        "    df_purchase = df_tmp[df_tmp['event_type']=='purchase']\n",
        "    df_cart = df_tmp[df_tmp['event_type']=='cart']\n",
        "    df_purchase = df_purchase[df_purchase['session_purchase'].isin(df_cart['session_purchase'])]\n",
        "    df_cart = df_cart[~(df_cart['session_purchase'].isin(df_purchase['session_purchase']))]\n",
        "    df_cart['target'] = 0\n",
        "    df_purchase['target'] = 1\n",
        "    df = pd.concat([df_cart, df_purchase])\n",
        "    df = df.drop('category_id', axis=1)\n",
        "    df = df.drop('session_purchase', axis=1)\n",
        "    # df[['cat_0', 'cat_1', 'cat_2', 'cat_3']] = df['category_code'].str.split(\"\\.\", n = 3, expand = True).fillna('NA')\n",
        "    df['brand'] = df['brand'].fillna('NA')\n",
        "    # df = df.drop('category_code', axis=1)\n",
        "    df['timestamp'] = pd.to_datetime(df['event_time'].str.replace(' UTC', ''))\n",
        "    df['ts_hour'] = df['timestamp'].dt.hour\n",
        "    df['ts_minute'] = df['timestamp'].dt.minute\n",
        "    df['ts_weekday'] = df['timestamp'].dt.weekday\n",
        "    df['ts_day'] = df['timestamp'].dt.day\n",
        "    df['ts_month'] = df['timestamp'].dt.month\n",
        "    df['ts_year'] = df['timestamp'].dt.year\n",
        "    df.to_csv(chunkname, index=False)\n",
        "```\n",
        "\n",
        "### ETL\n",
        "\n",
        "We downloaded the datasets, extracted them, applied transformation, applied split, and exported in parquet files. Here is how we will load this dataset for EDA and modeling:\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DbR7bCnyH1_h"
      },
      "source": [
        "![image.png](data:image/png;base64,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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hc7VtQWUH3mD"
      },
      "source": [
        "## EDA\n",
        "\n",
        "Duration: 10\n",
        "\n",
        "### Sparse feature frequence analysis"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "r4FqVDfIH6EY"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "a__nFj7xH7nq"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "drZHeuRQH9BH"
      },
      "source": [
        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2kWB5xhjTh9RXNQjgAACCCCAAAIIIIDAdAGSvelmi1rMSYZytYkCzzXO1H6iuKhHAAEEEEAAAQQQQACB6QIke9PNFrWYmgjlXD8KPOdYU/qK4qIeAQQQQAABBBBAAAEEpguQ7E03W9RiShKUe90o8Nzjje0viot6BBBAAAEEEEAAAQQQmC5AsjfdbFGLsQnQGutFga8x5pg+o7ioRwABBBBAAAEEEEAAgekCJHvTzRa1GJP8rLVOFPha40b9RnFRjwACCCCAAAIIIIAAAtMFSPammy1qESU+a9ZHga859lDfUVzUI4AAAggggAACCCCAwHQBkr3pZotaDCU9a9dFga89/q7+o7ioRwABBBBAAAEEEEAAgekCJHvTzRa12JXwlFgeBV4ihr4xorioRwABBBBAAAEEEEAAgekCJHvTzRa16Et2Si2LAi8VR3ecKC7qEUAAAQQQQAABBBBAYLoAyd50s0UtuolOyddR4CVjaY8VxUU9AggggAACCCCAAAIITBcg2ZtutqhFO8kp/TwKvHQ8zXhRXNQjgAACCCCAAAIIIIDAdIGtkr3rS3qFpHdKeoekB+ri8ihJH5Z0bvq7a1ruh4dLukDS+ZLu3Fre+/TkyZPTNQq0aBKcLR6j6W0Rk8ekIIAAAggggAACCCCAQH6BrZK960i6VcrSriTpPZJuKsnJ3kN6sjfXvVXSZSTdUNKFkk7vWe9zi0j2zrqom7xFu093/VKvo7ioRwABBBBAAAEEEEAAgekCWyV7n0vK0pMXSrrTQLLns3r+a8qLJd2uedH3SLJHsjf97UALBBBAAAEEEEAAAQQOR6CGZO8MSR+UdOWU7H1A0nmSninpaimRe4qke7eSumdIumfrdfP0zDShc06cOFHlVip1tqxvnAikr02JZVFc1COAAAIIIIAAAggggMB0ga2TvStKepOke6Rs7drp8sxLSHpsSvhcNTbZa5I+cWaPM3vT3w60QAABBBBAAAEEEEDgcAS2TPYuJcmXYz74cxnaqU98xu/taRGXcT70aPI29axbtNtO7S/X+lFc1COAAAIIIIAAAggggMB0ga2SvdMkPUvSk07N7+QbtzTlQZKen17crHODlvdxg5bpyV+0e+RK3qb2E8VFPQIIIIAAAggggAACCEwX2CrZu72ki9J389o/s/BsSW9Ly18knZL8PSLdhdM/vfBNTUa465HLOI8mg9HuMTVJy7V+FBf1CCCAAAIIIIAAAgggMF1gq2RvV46WbTnJHsne9LcDLRBAAAEEEEAAAQQQOBwBkr3C2zLX2bA5/URTndNnjjZRXNQjgAACCCCAAAIIIIDAdAGSvelmi1rkSI7m9hEFPrffpe2iuKhHAAEEEEAAAQQQQACB6QIke9PNFrVYmhgtaR8FvqTvJW2juKhHAAEEEEAAAQQQQACB6QIke9PNFrVYkhQtbRsFvrT/ue2juKhHAAEEEEAAAQQQQACB6QIke9PNFrWYmxDlaBcFnmOMOX1EcVGPAAIIIIAAAggggAAC0wVI9qabLWoxJxnK1SYKPNc4U/uJ4qIeAQQQQAABBBBAAAEEpguQ7E03W9RiaiKUc/0o8JxjTekriot6BBBAAAEEEEAAAQQQmC5AsjfdbFGLKUlQ7nWjwHOPN7a/KC7qEUAAAQQQQAABBBBAYLoAyd50s0UtxiZAa6wXBb7GmGP6jOKiHgEEEEAAAQQQQAABBKYLkOxNN1vUYkzys9Y6UeBrjRv1G8VFPQIIIIAAAggggAACCEwXyJHsfbkqLCdPnpyuUaBFlPisWR9Nb82xh/qO4qIeAQQQQAABBBBAAAEEpgvkSPZeLelsSfeXdJVa8j6SvbMu6iZY0e7RXb/U6ygu6hFAAAEEEEAAAQQQQGC6QI5kz/ndjSX9vKQLJD1X0p22TvpI9kj2pr8daIEAAggggAACCCCAwOEI5Er2nNudLunbJH1Y0rskvVvSPbZK+kj2SPYO523KTBBAAAEEEEAAAQQQmC6QI9m7haRfkvQeSU+VdKuU4F1X0l+Q7J26UUpdGtk3zqmRHH3V16bEsqORsAQBBBBAAAEEEEAAAQSWCuRI9l4p6bslXa4nsfPyTQpn9jizt/TNQXsEEEAAAQQQQAABBPZZIEeyd8V0CWeT1F1C0uWbF1s9kuyR7O3zG5PYEUAAAQQQQAABBBBYKpAj2Xu9JCd8TfHz1zYvtnok2SPZW/rmoD0CCCCAAAIIIIAAAvsskCPZO7cnoetb1rPaeotI9kj29vmNSewIIIAAAggggAACCCwVyJHsvaZ1UxZnbyclvW69NG5czyR7JHtL3xy0RwABBBBAAAEEEEBgnwVyJHtfJelCSf5x9T9Pv7XnhG+oXF/SKyS9U9I7JD0wrXx1SS+R9N70eLW0/DRJT059n9dJLnvHIdkj2dvnNyaxI4AAAggggAACCCCwVCBHsudk61KSbp7+/Dwq12klbFdKP9twU0mPl/Sw1NiPj0vP7yrpTyQ56butpDdEA5DskewtfXPQHgEEEEAAAQQQQACBfRbIlex9jaT/Juk+rb8oH2vXv1DSnSSdL8mJoIsf/drlaZLulZ77ob1ea/Hnn5Lskezt8xuT2BFAAAEEEEAAAQQQWCqQI9l7drr75q9K+pX050sux5YzJH1Q0pUlfaLVyGfxmtdnSbp9q+5lkm7det08PTNN6JwTJ04stVmlfYkfKd81RjShXe3WXh7FRT0CCCCAAAIIIIAAAghMF8iR7L0rXV7ZJFxTHv0zDW+SdI/UqEnumj4+np6MTfaaduLMHmf2pr8daIEAAggggAACCCCAwOEI5Ej2fqd16eXnkq0RT/zdvhdLenBr3fblmVzG+dCjCduSs2zRbruk7yVta43Lc6IggAACCCCAAAIIILCvAjmSPd9V02fgnLi9qPXXyuGOPPUlms+S9KROzRM6N2jxDVtc7ta5QcvZafnOB87sHU0Uo510ScK2pG2tcZHsRVuGegQQQAABBBBAAIGaBXIke18rqe9vZyKWvn93kST/jIJ/gN1/vuPmNST5+3j+6YWXSvJPMbg4OXxq+omHt+34vl5a9eIHkj2SvSUJaNO25jcvsSGAAAIIIIAAAgggMCSQI9lzdnUDSd+Qsq3LS/LPKWxaSPZI9pqEbcnj0JuHOgQQQAABBBBAAAEEahbIkez9gKQ3prNuTvBunM7Okez1bPklicfStj3hnLJoaf9z258SRM+Luf3maNcTDosQQAABBBBAAAEEENgLgRzJni/BvLSkt7SyO19quWnhzB5n9kj29uIYRJAIIIAAAggggAACKwnkSPbekLK6Jtm7ZPouHslez0bLkYDM7aMnnFMWze13abtTguh5sbT/Je17wmERAggggAACCCCAAAJ7IZAj2fMdM39S0rsl3UnS70t67KaZnsTv7PX8bEO0Ry5Jipa0rTUuz4mCAAIIIIAAAggggMC+CuRI9i4hyd/b8+/t/W567rtnblq4jJPLOJckoE3bfX1jEzcCCCCAAAIIIIAAAjmSvU2Tul2Dk+yR7DUJ25JHDhEIIIAAAggggAACCOyrQI5k7/2S3tfztysPK7KcZI9kb0mS17Td1zc2cSOAAAIIIIAAAgggkCPZ8w+hN3/Xk/Sjkh5TJKMbGIRkj2SvSdiWPHKIQAABBBBAAAEEEEBgXwVyJHt9Kdeb+haWXEayR7K3JMlr2u7rG5u4EUAAAQQQQAABBBDIkezdSlLzd2tJPyjprSUTu76xSPZI9pqEbckjhwgEEEAAAQQQQAABBPZVIEey9wpJzd9LJP0vSTfpS8BKLiPZI9lbkuQ1bff1jU3cCCCAAAIIIIAAAgjkSPZK5nCjxyLZI9lrErYljxwiEEAAAQQQQAABBBDYV4Ecyd6DJQ39jU7Qcq5IskeytyTJa9ru6xubuBFAAAEEEEAAAQQQyJHsPVfSeyU9Mf29R9JzJP1M+suZw43ui2SPZK9J2JY8cohAAAEEEEAAAQQQQGBfBXIke6+SdKVWFubnXrZpIdkj2VuS5DVt9/WNTdwIIIAAAggggAACCORI9s6XdJlWZufnXrZpIdkj2WsStiWPHCIQQAABBBBAAAEEENhXgRzJ3iPSTy08SpL/zpX0k5tmepJI9kj2liR5Tdt9fWMTNwIIIIAAAggggAACOZI953X+nb0Hpr+v3DrR8/gkeyR7TcK25JFDBAIIIIAAAggggAAC+yqQK9m7vaT7piTvWpJuuHXCR7JHsrckyWvaRm/sZr3Sj1Fc1COAAAIIIIAAAgggkCPZ8103/1CS78Lpcl1Jr0nPN3sg2SPZy5GARYeIHGPM6SOKi3oEEEAAAQQQQAABBHIke/6O3mmS3tLK7M5rPd/kKckeyd6cJKrbJjpEdNcv9TqKi3oEEEAAAQQQQAABBHIke2enbO7N6fEKkqJk75mSPirp7a1M0Dd3+XC6wYsTyLu26h4u6YJ0l887t5bvfEqyR7KXI/GKDhE5xpjTRxQX9QgggAACCCCAAAII5Ej2HiLpaZLeJ+kHJL1O0gN2ZmEXV9wh3dSlm+y5r265abrbp3/Swd8FvFDS6d2Vuq9J9kj25iRR3TbRIaK7fqnXUVzUI4AAAggggAACCCCwNNnz5ZvXl3QnSU+Q9IvpeTf36nt9Rs+Zvb5kz2f1/NeUF0u6XfNi1yPJHslejsQrOkTkGGNOH1Fc1COAAAIIIIAAAgggsDTZc671tl0JV7C8L9n7QLoE1Jd5Xi21f4qke7f6eoake7Zet5+emSZ0zokTJ6rcunM+2OdqE4HkGmdqP7XG5XlEZepcc60fxUU9AggggAACCCCAAAI5kr3flPRV7Yxr5PNusnftdHnmJSQ9VpITPpcpyV5qwu/s9SUV0e7e16bEslrj8tyjUsKnb4woLuoRQAABBBBAAAEEEMiR7L1b0r+n79L5xiw+0xfdoMVJWTfZ+1yi1qnjMs6HHr0ksy8BiJZFu3vUfq36WuPyfKOylknUbxQX9QgggAACCCCAAAIILEn2TqTs7AaS+v7ayVvf826yd53WSg+S9Pz0+madG7T4RjDcoGVGAhjt7lGCsVZ9rXF5vlFZyyTqN4qLegQQQAABBBBAAAEEliR7zU8tOCf7vVaiNubp8yR9RNKnJX1I0v0kPbt1VvBFktrJ3yPSmcPzJX3TmAG4QcvRs4HR7h4lGGvV1xqX5xuVtUyifmuNa4xZFDv1CCCAAAIIIIAAAnkEliR77R9Rbz8fk4utvg7JHslelDCNqY/eZmP6WGOdWuPyXCkIIIAAAggggAACdQgsSfbaZ/baz1dP5MYMQLJHspcjyYrepjnGmNNHrXGR7EVbhnoEEEAAAQQQQKCcwJJkzzdl+QdJn5T0mfS8ee3HTQvJHsnenCSq2yZ6K3bXL/W61rg8fwoCCCCAAAIIIIBAHQJLkr1Nk7locJI9kr0ciVf0Ns0xxpw+ao2LZC/aMtQjgAACCCCAAALlBEj2yll/dqQ5H+xztYmmmmucqf3UGpfnEZWpc821fq1xjTGLYqceAQQQQAABBBBAII8AyV4ex9G95PqwP6efKMg5feZoU2tcnltUcsx/Th+1xjXGLIqdegQQQAABBBBAAIE8AiR7eRxH9zLng32uNlGQucaZ2k+tcXkeUZk611zr1xrXGLModuoRQAABBBBAAAEE8giQ7OVxHN1Lrg/7c/qJgpzTZ442tcbluUUlx/zn9FFrXGPMotipRwABBBBAAAEEEMgjQLKXx3F0L3M+2OdqEwWZa5yp/dQal+cRlalzzbV+rXGNMYtipx4BBBBAAAEEEEAgjwDJXh7H0b3k+rA/p58oyDl95mhTa1yeW1RyzH9OH7XGFZnNmWuuNpEZ9QgggAACCCCAwKEJkOwV3qK5PrjO6Sea6pw+c7SpNS7PLSo55j+nj1rjiszmzDVXm8iMegQQQAABBBBA4NAESPYKb9FcH1zn9BNNdU6fOdrUGpfnFpUc85/TR61xRWZz5pqrTWRGPQIIIIAAAgggcGgCJHuFt2iuD65z+iyTyOkAACAASURBVImmOqfPHG1qjctzi0qO+c/po9a4IrM5c83VJjKjHgEEEEAAAQQQODQBkr3CWzTXB9c5/URTndNnjja1xuW5RSXH/Of0UWtckdmcueZqE5lRjwACCCCAAAIIHJoAyV7hLZrrg+ucfqKpzukzR5ta4/LcopJj/nP6qDWuyGzOXHO1icyoRwABBBBAAAEEDk2AZK/wFs31wXVOP9FU5/SZo02tcXluUckx/zl91BpXZDZnrrnaRGbUI4AAAggggAAChyZAsld4i+b64Dqnn2iqc/rM0abWuDy3qOSY/5w+ao0rMpsz11xtIjPqEUAAAQQQQACBQxMg2Su8RXN9cJ3TTzTVOX3maFNrXJ5bVHLMf04ftcYVmc2Za642kRn1CCCAAAIIIIDAoQmQ7BXeork+uM7pJ5rqnD5ztKk1Ls8tKjnmP6ePWuOKzObMNVebyIx6BBBAAAEEEEDg0ARI9gpv0VwfXOf0E011Tp852tQal+cWlRzzn9NHrXFFZnPmmqtNZEY9AggggAACCCBwaAIke4W3aK4PrnP6iaY6p88cbWqNy3OLSo75z+mj1rgiszlzzdUmMqMeAQQQQAABBBA4NIGtkr1nSvqopLfr8+Xqkl4i6b3p8Wqp6jRJT5Z0gaTzJN3q8012Pzt58mSV2yrXB9c5/UQgc/rM0abWuDy3qOSY/5w+ao0rMpsz11xtIjPqEUAAAQQQQACBQxPYKtm7Q0ra2sne4yU9LKVvfnxcen5XSX8iyUnfbSW9YXeK9/kakr2zLup+SI523u76pV7XGpfnH5VSRt1xao0rMuvOo+TryIx6BBBAAAEEEEDg0AS2SvaclZ3RObN3vqTrpHTNj37t8jRJ90rP/dBer7X41KckeyR7ORKJ6A2fY4w5fdQal+cyVObMNVebobioQwABBBBAAAEEDlGgpmTvE610zWfxmtdnSbp9q+5lkm7det37lGSPZC9HkhC96XOMMaePWuPyXIbKnLnmajMUF3UIIIAAAggggMAhCtSa7DmB+3jK4qYke2emCZ1z4sSJKrdXrg+uc/qJQOb0maNNrXF5blHJMf85fdQaV2Q2Z6652kRm1COAAAIIIIAAAocmUFOy1748k8s4H3r0zNzSD73Rzru0/7nta43L84nK3DkvbVdrXJHZ0nkvaR+ZUY8AAggggAACCByaQE3J3hM6N2jxDVtc7ta5QcvZafngA5dxHk0Wo513yQfpJW1rjctzisqSeS9pW2tckdmSOS9tG5lRjwACCCCAAAIIHJrAVsne8yR9RNKnJX1I0v0kXUOSv4/nn154qST/FIOLv7/3VEkXSnrbmO/ruRHJHsne0uQgSlx8MMgxxpw+ogPRnD5ztRmKLdcYc/oZios6BBBAAAEEEEDgEAW2SvYuTuNW/C/JHsnenISg2yZ603fXL/W61rg8/6FSyqdvnKG4qJsn0OdcYtm8aGmFAAIIIIDA8RMg2Su8zUt8ENo1RjTVXe3WXl5rXJ53VNa22dV/rXFFZrvmU2J5ZEb9dIES261vjOmR0gIBBBBAAIHjKUCyV3i7931wKbUsmmqpOLrj1BqX44xKdy6lXtcaV2RWyqdvnH01i+Lesr7PucSyLefM2AgggAACCOyTAMle4a1V4oPQrjGiqe5qt/byWuPyvKOyts2u/muNKzLbNZ8Sy/fVLIp7y/oS261vjC3nzNgIIIAAAgjskwDJXuGt1ffBpdSyaKql4uiOU2tcjjMq3bmUel1rXJFZKZ++cfbVLIp7y/o+5xLLtpwzYyOAAAIIILBPAiR7hbdWiQ9Cu8aIprqr3drLa43L847K2ja7+q81rshs13xKLN9XsyjuLetLbLe+MbacM2MjgAACCCCwTwIke4W3Vt8Hl1LLoqmWiqM7Tq1xOc6odOdS6nWtcUVmpXz6xtlXsyjuLev7nEss23LOjI0AAggggMA+CZDsFd5aJT4I7RojmuqudmsvrzUuzzsqa9vs6r/WuCKzXfMpsRyzoz/HErnXahbFRT0CCCCAAAIIXCxAsld4T4g+XK1ZH011zbGH+q41LscclaF5rVlXa1yR2ZomUd+YkexF+wD1CCCAAAIIHJoAyV7hLRp9IF2zPprqmmMP9V1rXI45KkPzWrOu1rgiszVNor4xI9mL9gHqEUAAAQQQODQBkr3CWzT6QLpmfTTVNcce6rvWuBxzVIbmtWZdrXFFZmuaRH1jdnySvWhfWLM+2s+oRwABBBBAoKQAyV5J7YsuumjNDxlR39FUo/Zr1dcal+cblbVMon5rjSsyi+a1Zj1mJHtr7l9N39F+Rj0CCCCAAAIlBUj2SmqT7PUmu9EmaD5EbfFYa2y1xuVtNFS22IbNmENxua5Zb4vHodi2iKcZcyiuLc1qjctuUWlsSz9GcVGPAAIIIHCYAiR7hbdr6X/g2+NFU22vW/J5rXHZIColndpj1RpXZNaeQ+nnmHFmr8Q+V+t+FsVFPQIIIIDAYQqQ7BXeriU+bOwaI5rqrnZrL681Ls87Kmvb7Oq/1rgis13zKbEcM5K947yfRfs/9QgggAAChylAsld4u5b4sLFrjGiqu9qtvbzWuDzvqKxts6v/WuOKzHbNp8RyzEj2jvN+Fu3/tdaX2Ga7xqjVhLgQQACBKQIke1O0Mqy76x+VEsuj8EvE0DdGrXE51qj0zafEslrjisxK2OwaAzOSvV37Rs7lte5ntcZl+6GSc9tM7WsoLuoQQACBfREg2Su8pab+Y5Nz/WiqOcea0letcXkOUZkyz5zr1hpXZJbTYGpfmJHsTd1n5qxf635Wa1w2HipztkGuNkNxUYcAAgjsiwDJXuEtlesfoTn9RFOd02eONrXG5blFJcf85/RRa1yR2Zy55mqDGclern1pqJ9a97Na47LlUBmyXrtuKC7qEEAAgX0RINkrvKXW/sdpqP9oqkNt16yrNS7POSprugz1XWtckdnQnNauw4xkb+19LNr/vQ+WiKFvDPb/w9n/x+xn0famfn8E+t7PJZbtjxCRRgIke5FQ5voSb9BdY0RT2dVu7eW1xuV5R2Vtm1391xpXZLZrPiWWY3Y4H3b3dVs67hL7et8Y+2rWN5dSy/bVLIqb+v0SKLW/d8fZLyWiHRIg2RvSWaGu+2Yq+TqaTslY2mPVGpdjjEp7HiWf1xpXZFbSqDsWZiR73X1ijde17me1xuVtMFTW2EZj+xyKy3Vj+1ljvSg26g9HYI39Z0yfhyPITGpM9j4g6W2Szm0Fd3VJL5H03vR4NQXl5MmTVW7dMW+wtdaJQNYaN+q31rgcd1Siua1VX2tckdlaHmP6xYxkb8x+snSdWvezWuOy91BZuj2WtB+Ky3VL+l7aNoqN+sMRWLqvzG1/OILMpJVPBdlTuWone9fsDPd4SQ9Ly/z4uE79kZcke0c/2EW7+9wDwtJ2tcbleUVl6dzntq81rshs7nxztMPs6DEhcq3VrNa4ov3fcUfma9Xvq9laHmP63VezKG7q90tgzL66xjr7pUS0QwL7kuydL+k6KaPzo18PFpK9ox/shnYE161xsBjTZ61xOfaojJnfGuvUGldktobF2D4xO3pMiOxqNas1rmj/d9yR+Vr1+2q2lseYfjHLf8yITKk/KjBmX11jnaORsGRfBWpM9t4v6c2S3iTpzJTRfaKV2Z0mqf26VfXZ9c/xpE6cOFHlNlnjDTm2zwhkbD+516s1Ls8zKrktxvZXa1yR2dj5rbEeZvk/uK2xncb0ua/b0nGPmd8a6+yr2RoWY/vELP8xIzLdqn7sPrHGetGc1xhzTJ9RXNTvj0CNyd71Uvb2BZLeKukOPcndx9sZXt9zzuwdPUhHu+WYN/8a69Qal+calTU8xvRZa1yR2Zi5rbUOZkePCZF1rWa1xhXt/447Ml+rfl/N1vIY0y9m+Y8ZkelW9WP2h7XWiea81rhRv1Fc1O+PQI3JXjt3e5Skh6TLNrmM86HTD7ztN3O0W7bXLfm81rhsEJWSTu2xao0rMmvPofRzzKYfP2o1qzWuaP933KX3+2a8fTVr4t/iEbP8x4zIdKv6LfavZsxozs16pR+juKjfH4Hakr0rSLpSyvb8/LWS7iLpCZ0btPiGLYOFM3tHD9LRbln6QNKMV2tcji8qzRxKP9YaV2RW2qk9HmZHjwltn77ntZrVGpcNo9LnXGJZrXFFZiVsdo2BWf5jRmS6Vf2ufaDE8mjOJWLoG6PWuBwrZZpAbcnejdKlm7588x2SHpEyumtIeln66YWXSvJPMQwWkr2jB+lo1+h7s5dYVmtcYw4oJXz6xthXs765lFqG2dFjQmRfq1mtcdkzKpH5WvW1xhWZreUxpl/MOGaM2U+WrlPrflZrXPamTBOoLdkbTOCmVJLsHT1IR7vG0gPW3Pa1xjXmgDJ3zkvb7avZ0nkvaY/Z0WNC5FmrWa1x2TMqkfla9bXGFZmt5TGmX8w4ZozZT5auU+t+Vmtc9qZMEyDZm+a1eO2lB4Ul7aPgl/S9pG2tcXlOUVky7yVta40rMlsy56VtMeOD29J9aEz7WvezWuOy6VAZY77WOkNxuW6tccf0OxTbmPZrrTMU15Zmtcbl7RCVtbZV1G+tcY0xi2I/bvUke4W3ePTmWrM+muqaYw/1XWtcjjkqQ/Nas67WuCKzNU2ivjEj2Yv2kRz1te5ntcZl86GSY5vM7WMoLtfN7TdHu6HYcvQ/t4+huLY0qzUuO0dl7rZY2q7WuMaYRbEft3qSvcJbfOmbb0n7aKpL+l7Stta4PKeoLJn3kra1xhWZLZnz0raYkewt3YfGtK91P6s1LpsOlTHma60zFJfr1hp3TL9DsY1pv9Y6Q3FtaVZrXN4OUVlrW0X91hrXGLMo9uNWT7JXeItHb64166Oprjn2UN+1xuWYozI0rzXrao0rMlvTJOobM5K9aB/JUV/rflZrXDYfKjm2ydw+huJy3dx+c7Qbii1H/3P7GIprS7Na47JzVOZui6Xtao0rMls67yXtI7Ot6kn2Cssv2YmWto2murT/ue1rjcvzicrcOS9tV2tckdnSeS9pjxnJ3pL9Z2zbWvezWuOy61AZ677GekNxuW6NMcf2ORTb2D7WWG8ori3Nao3L2yAqa2ynMX3WGldkNmZua60TmW1VT7JXWH6tHWxMv9FUx/Sxxjq1xuW5RmUNjzF91hpXZDZmbmutgxnJ3lr7VrvfWvezWuOy3VBp25Z+PhSX60rH0x5vKLb2eqWfD8W1pVmtcXn7RKX0NmzGqzWuyKyJf4vHyGyrepK9wvJb7HzNmNFUm/VKP9Yalx2iUtqqGa/WuCKzJv4tHjEj2Sux39W6n9UaF8eM6e9LzKab7ev+77hLHLf6xthXs765lFoWmW1VT7JXWL7UDtc3TjTVvjYlltUal+celRI+fWPUGldk1jeXUsswO5wPSPu6LR13qf29O86+mnXnUfI1ZhwzSuxvte5ntcblbTJUSmyzXWMMxbVlHcleYf1dO0iJ5dFUS8TQN0atcTnWqPTNp8SyWuOKzErY7BoDMz647do3ci6vdT+rNS7bD5Wc22ZqX0NxuW5qfznXH4ot5zhT+xqKa0uzWuOyb1SmboNc69caV2SWa/5z+onMtqon2SssP2fnydUmmmqucab2U2tcnkdUps411/q1xhWZ5Zr/nH4wI9mbs99MbVPrflZrXPYdKlP9c64/FJfrco41ta+h2Kb2lXP9obi2NKs1LttHJef2mdJXrXFFZlPmmHvdyGyrepK9wvK5d6wp/UVTndJXznVrjctzjEpOhyl91RpXZDZljrnXxYxkL/c+1ddfrftZrXHZcKj0GZdaNhSX60rF0TfOUGx965daNhTXlma1xuXtEpVS2647Tq1xRWbdeZR8HZltVU+yV1i+5E7XHSuaanf9Uq9rjcvzj0opo+44tcYVmXXnUfI1ZiR7Jfa3WvezWuPimDH9fYnZdLN93f8dd4njVt8Y+2rWN5dSyyKzrepJ9grLl9rh+saJptrXpsSyWuPy3KNSwqdvjFrjisz65lJqGWaH8wFpX7el4y61v3fH2Vez7jxKvsaMY0aJ/a3W/azWuLxNhkqJbbZrjKG4tqwj2Susv2sHKbE8mmqJGPrGqDUuxxqVvvmUWFZrXJFZCZtdY2DGB7dd+0bO5bXuZ7XGZfuhknPbTO1rKC7XTe0v5/pDseUcZ2pfQ3FtaVZrXPaNytRtkGv9WuOKzHLNf04/kdlW9SR7heXn7Dy52kRTzTXO1H5qjcvziMrUueZav9a4IrNc85/TD2Yke3P2m6ltat3Pao3LvkNlqn/O9Yficl3Osab2NRTb1L5yrj8U15ZmtcZl+6jk3D5T+qo1rshsyhxzrxuZbVVPsldYPveONaW/aKpT+sq5bq1xeY5Ryekwpa9a44rMpswx97qYkezl3qf6+qt1P6s1LhsOlT7jUsuG4nJdqTj6xhmKrW/9UsuG4trSrNa4vF2iUmrbdcepNa7IrDuPkq8js63qSfYKy5fc6bpjRVPtrl/qda1xef5RKWXUHafWuCKz7jxKvsaMZK/E/lbrflZrXBwzpr8vMZtutq/7v+MucdzqG2NfzfrmUmpZZLZVPcleYflSO1zfONFU+9qUWFZrXJ57VEr49I1Ra1yRWd9cSi3D7HA+IO3rtnTcpfb37jj7atadR8nXmHHMKLG/1bqf1RqXt8lQKbHNdo0xFNeWdSR7hfV37SAllkdTLRFD3xi1xuVYo9I3nxLLao0rMiths2sMzPjgtmvfyLm81v2s1rhsP1RybpupfQ3F5bqp/eVcfyi2nONM7Wsori3Nao3LvlGZug1yrV9rXJFZrvnP6Scy26qeZK+w/JydJ1ebaKq5xpnaT61xeR5RmTrXXOvXGldklmv+c/rBjGRvzn4ztU2t+1mtcdl3qEz1z7n+UFyuyznW1L6GYpvaV871h+La0qzWuGwflZzbZ0pftcYVmU2ZY+51I7Ot6kn2Csvn3rGm9BdNdUpfOdetNS7PMSo5Hab0VWtckdmUOeZeFzOSvdz7VF9/te5ntcZlw6HSZ1xq2VBcrisVR984Q7H1rV9q2VBcW5rVGpe3S1RKbbvuOLXGFZl151HydWS2Vf2+JXt3kXS+pAskPUwD5eTJk1uZDo5bcqfrjjUY2Ib/cNUal/2i0jUu9brWuCKzUj5942BGste3X+ReVut+Vmtc9h8qubfPlP6G4nLdlL5yrzsUW+6xpvQ3FNeWZrXGZduoTPHPuW6tcUVmOQ2m9hWZbVW/T8ne6ZIulHQjSZeW9FZJN92V75HsHf1gF+1kU3fqXOvXGpfnF5VcBlP7qTWuyGzqPHOuj9nRY0LkW6tZrXFF+7/jjszXqt9Xs7U8xvSLGceMMfvJ0nVq3c9qjcveQ2Xp9ljSfiiuLev2Kdm7naQXt5K7h0vyX28h2Tt6kI52tCU7+JK2tcblOUVlybyXtK01rshsyZyXtsXs6DEhMq3VrNa4ov3fcUfma9Xvq9laHmP6xYxjxpj9ZOk6te5ntcZl76GydHssaT8U15Z1+5Ts3VPS01uZ3XdLekrrtZ+emSZ0jqRPtp779aH8faDSuRDX9H0MM8xKHJfYz6btZ7V6eV+pNbZa48Js2r7fHI9q3Z7ENX17YnY4Zs37c87j33bypWpfjkn2qg0+Y2DeyDUW4pq+VTDDbLrA9BbsZ9PMavXyLGqNrda4MJu27zdr17o9iavZQuMfMRtv1axZq1kT30E/TrqM84Alat0JiWv6TocZZtMFprdgP5tmVquXZ1FrbLXGhdm0fb9Zu9btSVzNFhr/iNl4q2bNWs2a+A768ZKS3ifphq0btNzsoGfcP7lad0Li6t9eQ0sxG9Lpr8Os32VoKWZDOkfravVypLXGVmtcmB3dv8csqXV7EteYrXfqOpid6jHmVa1mY2I/iHXuKuk96a6cjziIGU2fhL+XWGMhrulbBTPMpgtMb8F+Ns2sVi/PotbYao0Ls2n7frN2rduTuJotNP4Rs/FWzZq1mjXx8YgAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACeQWeKemjkt6et9vFvV1f0iskvVPSOyQ9cHGPeTq4rKSzJb01xfXoPN1m6+V0SW+RdFa2HvN05N/keZukcyu7GcRVJf2upHdLepck3523hnKTZGUv//2DpB+tITBJD0r7vo8Zz5Pk90QNxccIx+TjxdZWfcfVq0t6iaT3pserbYTWF9u3J7f/J+nWFcX1hPTePE/S70vy+3WL0mf2s5Icl9+f/1fSdTcIrC+uJowfk3SRpGs2Cwo+9sX1KEkfbh3XfK+ELUpfbI7jAWlf8/Hj8RsE1hfXC1pe/jfU+9oWpS+2W0p6fYrJNx756g0C64vrKyS9Ln3e+ENJV94grl2fX2v5N2ADEobcWuAOkm5VYbJ3nRSXfa6UbqBz062xJJ0m6YopjktJeoOk21YQVxPCgyU9t9Jkb4sPHY3LrsfflPT9qfLSG36Y3BWflzuB/2tJNxhaqVDd9SS9X9Ll0ni/Lel7C409NMzN0zHs8pJ8h+WXSvqSoQYr1/UdV/0B8mFpXD8+buUYdnXfF9uXSfL/YPizDZO9vri+MW1Pz8VeNZm1P0T+iKRf3wW+4vI+Mw/nD5svlvQXGyV7fXE52XvIihZju+6L7T+nY8ZlUidfMLazjOv1xdXu/omSHtleUPB5X2z+HxzflGJw4u5jR+nSF9cbJX1tCuT7JPl/ypQuuz6/1vJvQGkPxqtE4IwKk70uzQsl3am7cOPX/mD5Zkm32TiOZvgvkvQySV9HsteQDD5eJSUuTuBrLv7A+5pKAnSy95eS/H8onVT5DLLj27r4zNQzWkH8tKSfaL3e4mn3uHq+JH8IcPGjX29VurE1cWyZ7DmGXXG57lsl/VYT6AaPQ7E9XNKvbRCTh+yLy1cr+AyHzwZt9T/ZunHVkuz1mfl/Wn3DRtuvPWzXrKnzv1E+7t64WbDBYzc2/8+E/5riuFf6n8wbhHVk///79D/lHYv/p4evDtu6NJ9fa/o3YGsTxt9AoPsm3iCEwSEd3wc3Oh3fF5jPtPhyik9t+H+a++LyP/AnJd2xwmTPZ4OcGL+potu8+zIUX5L7G+nS16dLukIf7MbLfKnK/9g4hvbwvlzS+/7fbvzhux2Tz0z553OuIcn/E8aX8fxKe4UNnnePq59oxeAPb+3XraoiT7uxNYPWnOz5kqx7N4Fu8Nhn9tj0IdyXD19rg5g8ZDeub5b0yymW2pI9x+NLX31M2+oy5j4z/3vur2T4Sp1XSvqqSrZlE4bPYG39G23d/czHXH8ucxLqy3O3uvKkG9drJX1LgvOVTp9sEDd6dHzN59f2MX/rfwM24mDYLQW6b5YtY+mO7UsmnSDco1tRwWt/f8TfK/QlZFuXu0v61RREjcmezwi5+PIYf9/R/3htXfzdpM+0zsz6A9IWl3wMOfjS0o9JuvbQSgXr/AHt5emDrS9j/oONP4C3p36/dKx4VTrL8qR25QbPu8fV9j/0DufjG8TUDNmNrVlea7Ln37/1d/a2PAu/y8x2PrO31fe323H5f3Q4YfFVCy41JXs+hvl/lF5CkpNkJ3xblbaZY3Cy7v855P3L3z3z/5zcYl/rxtX4+Kyxv4O5ZenG9mRJ35YC+o50GewW8XXj+g/pO7T+3Pgzkv5ui6DSmN3PrzX9G7AhC0NvJdB9s2wVR3dcf5j0pQL+vzO1Fl9DX8P3EH5e0ofSP+7+ftc/SXpOpWi1XM7zhcmrYfpPkv6oeVHJo/8vvb8bUUvpXi55n9b/ZKglRsfxc5Luv3FA3eNqTZfwdGNrqGpM9vydUJ+pdSKzZdll5phObPhViHZcX55uuOYkz3/+n1k+q+BjXenSjqs79lBdd901XnfH/1NJ/t5eUy7c6ExtNy7H48vl/0aSv6axZenG1r5c0omxbyK2RenG1Y7hS9PVO+1lpZ73fX6t6d+AUg6MU5HA0JtlqzB98HiWpK3/73x3/r5Up7kjnG9S8WpJPqtWU6ntzJ4vjfRNdlz83JdZ3CW93vrB2883pnBxEuq7/9VUni/pvhUF5O+n+m51/uDt96hvcOO72NVQmpsq+IO3767avE+3iq17XPW+1b5ByxZ3/GssurE1y2tL9nyc8HdutrpEsnHxY9es/f0pvwd8Gf0WpRtXO4aazuw131d1fL6jr49tW5Wu2Q9KekwKxgmCL02s5cye3wO+tHTr0jXz3av9WcPl69NVFell0YduXM2/Az6D7M+QvklL6bLr82tN/waUNmG8jQV86/SPSPp0OjPkS6FqKLdPt41ubm3ta+q3ulVz2+MW6ftdjsuXfmx1d6x2TN3ntSV7N0qXbjY/V+FLsmop/t6evwvh7elLErf8HknXxImxL0FpLsnq1m/12perOZny/v9sSc0d7LaKpxnXibsTA+9n/vCxZek7rvr7hL6Bkn96wXcL9U1utih9sfnmJ74y4F/TWQRfUVG69MV1Qfrg7eO//7a446Ud+mL7vfQe8LHD3ydsLlUv6dYXV3v8rZK9vrh8rPDP79jrRa2bFbXjLfG8LzZfLu8rYXxM83fLfZOz0qUvLsfg75Q7Gd2y9MXmz2i+VNLHW1867PsFlC59cfk75f7+tv9+YaOkfdfn11r+DSi9nRgPAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQKCIwEWSntga6SHpNxdbi2Y/9W3T7zm79dGG/lF7/77VK45WsQQBBBBAAAEEEEAAAQQQQKAt8C+S3i/pmmlhLcneJdtBpud/Ksm/4dQtfet21+E1AggggAACCCCAAAIINLZ1hwAABCNJREFUIHCsBD4l6eGSHptm3U72umfmvK7LHSW9UtILJb0v/Xjvd0k6O/1w9Ben9dzePwR+TvqR37un5adLeoKkN6Yfmf7vabn79Y/D+0en/aPA7fJISR7//NT2e9N6L0+xXEHSM1MMb5H0zanx5SQ9P50R/P30A8i3TnXNfPzSZyAdr8u1JPlHwx2f//5jWv6oNMafpXn/SFruh/ukufhHlv0D2ldKSfSl0jpX7rxuNeUpAggggAACCCCAAAIIIJBfwAmPE5EPSLqKpLHJ3ickXUfSZSR9WNKjU2gPlPSk9NzJk8/GXULSjSV9SNJlJZ0p6afSOm7vZPCGKYn8x/S8b6ZOsppEzcme+7t6WvHnJN07Pb9qShadAD44JWiuuoWkz7T62JXsPbd1BvFEShTd3snea9OcfSb07yQ5mbtZGq85O9rE9L8lfUuKyXNuXy6bFvOAAAIIIIAAAggggAACCKwj0CQ8j5H00xOSvZe0wnlV6+zX10n6g1TnZO/7OuvdUtLvpuToXEn+82Wk35iSvaHv43WTPSdTTXHC+PbUn/v8oKQvS7E4pqa8eUSy99FWP+7LyewVU7L3iKajlAR+kaQHtM6Mtqo/e0bQZz9dXifp5uk5DwgggAACCCCAAAIIIIDA6gJNsuezUT679zOtG7Q8XdJ3pAh8du7f0nNfbnlWK7J2Etauc7J339Z6Tgq/Il0ieefW8uZpu22zrP3YHsdn9p7SqnyTpJu0XjdPnXjuSvY+2ayUzgo2l3F+LJ2BbFV/9qnP7PnMZ1OcXJ4xkOx5PV/W6Xn5ElcKAggggAACCCCAAAIIIFBMoEn2PODj0xkxJzUuvtTycem5L0f0nTtduklZOwlr1zl5+uN0Gae/x9e+jNNJWPN9ti+V5Esu223TUKc8tMfpJnu+jNPJ32mpxVemR1/G6aTVxWfW2pdxXpDO/jmR9Xf0mmTPl3H+eGrjB5+NdNmV7DWXcV4jrddcxumXPybpryT9UKrjAQEEEEAAAQQQQAABBBAoItBO9q4t6Z9aZ/b8+vXp7JSTvmbdblLWTsLadU6e+m7Q4uTKydnb0qWXvnTT3xdst+2bfHucbrLnG7E8LfX5jtaZx/YNWv5P5wYtvinLhWmOThSbZM/fvXtBuuHKO9McHM+uZM9135Pm4jN5TT9e/oWS/lmSv0dIQQABBBBAAAEEEEAAAQQQWEmgnTCuNMQp3Tqh9N05KQgggAACCCCAAAIIIIAAAisKlEz2fkWSLxX1ZaoUBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA4MAE/j8Mb5iS7XwbFgAAAABJRU5ErkJggg==)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mm2Mj0Q3IApY"
      },
      "source": [
        "We can observe following pattern:\n",
        "\n",
        "- There are ~45000 products which appear only once in the dataset\n",
        "- There are 1200000 users which appear only once in the dataset\n",
        "- There are 350 brands which appears only once in the dataset\n",
        "\n",
        "The sparsity is important for understanding which features can be better used in a model. Product_id and User_id have many values which appear only once and the model is less able to learn a good patterns from them. On the other hand, brands has many observations and can be leveraged for prediction.\n",
        "\n",
        "### Top frequency items analysis"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "e-dAw0YMIDUr"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TqgUXJHIIFMK"
      },
      "source": [
        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V0YJwkA7MvDVV8ybbKLEyiKLML/yir6Wr77KPPHEzEstJb8Heqaql4rnGCaymnlmdb7x+y5BGBAGMjMgwtS1yrSwJ8K0w4QpWkYxBmX4cOY+fdSP15RTjp0EY9VVmX/4IfNNLBmFgdoz8PPPzPPNx3zwwbWvilRAGGhg4JZbmKedlnm88ZiPPpr5jz8aklMPMAYVkyKNGJGaRRIqyMBbb6nzdt55Spyi9VSCMCAMZGZAhKmFkHRdpB2F6RlLbsqHrDyclxp+Mffbv1l4muIyX8F1yoiv4AcdxNy/v/rhwqQX+Ip+221jv4pfdBHzOOMwL7QQM2ZslCAMdAID++2n7olBgzqhtlLHTmDg22+Zt9pKXdcLLMD8wgut13rnnVX5f/+79bJSohwG0F0bHxRGj2Y+7TS1/8wz5WARr8JADRkQYepaZVrYazdh2n/krTxmqqAbCxG/PuXMfN5iQ3njTY/nWUb8O5NQreG9lAz544+ZTz1VCU38WPXsqZYDuOKK9FbRO+5Q3bjQFcjU5SvZq8QKA/VhAC9tuC/QdbFXL2Z0b5cgDNSZgTvvZJ5hBvWR8dBD7a/pX39lxseaySZjfvvtOjPSOdjx8Rkfl//3P+bvv1fdevEBWoIwIAxkYkCEqYWQdF2k3YRpV2voyFG8/Pbn81HLb8eP9Zuff+85TteXw+/Hn5hHzbkM773m3rzwblelitRMV29VM+HHCAumr7iiml0RghTjik4/nfnTT7OhfvZZ5ummY558cuaHHspWRnIJA3VjACIUXXinn575H/9QrQu49iUIA3VkAM/+7bdX1zEmMHLRUvbOO+p3AL1oIHYkVJuBNdZQz7QQJbpiQ6i+914YI1thQBjQMCDC1LXKtLDXlsI01n13nr2u5x3XO4ivnW9l/nziKbp+uP+iHvx839n51KU35zW3PoPR0hp28dVcs9VMwgs2xhJhEqMJJlAvJgMHMuNr+ZgxdpjffZd5rrlUK9I119jZkFLCQJUZwJg7fLjBBCHh2CwIVAnCQN0YuP9+NaYQrf/77+9WROL+wH2y0051Y6Xz8Pbtq7pwhzX/4APmccdl3nvvMEa2woAwoGFAhKmFkHRdpBOEaSg4sYUAhRCFIIUwhUDFjy4EK4QrBGxXFxjNhVuJJMy+9+ijjZMYYSmAXXdlfuIJZhfLv3zzDXM49TyWF3BhsxLkCYiOZwDd1NF1N+zmhmsbPQTk5bvjL41aEfDjj+qZD+GI5UHw7C8ijBypxOmVVxZhXWy6YOCzz9Q5Qu+oaNh8c+bevZm/+y4aK/vCgDCQwIAIU9cq08JepwnTqEjFPrr0omsvuviiq2/Xl2HMYLjCCmp8JlocqyTI8EKNcST9+imsmMRo000bJzFKuNmso9B9Cy2xePGB6P3zT2tTUlAYqAQDuIaXWIIZs1F//vlYSLjnF1107LHsCQNVZuCRR5jRM6ZHD9UihtmliwqYzRcfKSeaiPm//y3Ki9jNwwDGFuN3+sEHG60895yKP/nkxng5EgaEgSYGRJhaCEnXRTpdmEaFKiZHwiRJjFk655lHPczxoJ9lFuY99mC++263XaSabomUCExidMopjZMYYVkX3SRGKaasotE6i7Eq4GLddZmLfAGyAiiFhIEWGDjjDHUtX3VVYyHc9+OPP3aW6sZUORIGqsHAL78oIQpBCmH68MN+cGGm9mmmUUM80FIroVoMHH+8eq5hRuZ4WH555hlnlGdbnBc5FgZiDIgwda0yLeyJMG1eTqb7OsU4y3POYcaEAuHYTXwxXmcd5gsuYP7ww+6sznfQ7eaSSxonMUJrDl6qs05i5BrUmWeqr/OLL878xReurYs9YaB4BjCZC+5h3NPxnhAYS42PL88/XzwO8SAM2DDwn/+oLru4TnfZhdm3QMRYVoxj3Wyz5vvHpj5Sxh0D6Nk0YECyPSwLh2sm/jEuObfECgMdy4AIUwsh6bqICFONMI3emmglxMMda7thKRU85PGHNeLQtfbxx/N3c8UkRlgzbqONxgphtNYedhjz669H0ZS3/69/KWyzzsr85pvl4RDPwkCrDECIrrQS8ySTMGNSkHh44w11T2M9XwnCQJUYwNItmNQIohC/P/fdVx66cNKw884rD4N4bmZgttmYhw5tjkcMej1hMkPMrhz/IJdcQmKFgY5kQISpa5VpYU+EaUZhGr1F8WDHOJsTT1TjbjAdO0Rqnz7qS/LVVzN//XW0RPp+OIkRJl1BedjBJEa77caMr+NV/BHBBBsYnwecwChBGKgDA+iBgPvr3HOT0eJenHRS9fEpOYfECgP+GRg9euzQEiwHg2Vhygy4T1ZfXU0e5mJJmjLr0i6+f/hBPduOOiq9RhdeqPI88EB6HkkRBjqcARGmFkLSdRERphbCNH7jYvbaa69l3nJLJdbw8osv20stxXzcccwvvtgsMCFsDzywcRIjdI+6/fZ6jANBCy7GN2HyJbTyShAGqswAxsdh1t1lllGtB2lYl1uOebHF0lIlXhjwxwB60GDJL3z4xFq7d9zhz7fJ01dfMc80E3P//sz4/ZNQLgOPPaZE56hR6TgwkSHGCGMYgwRhQBhIZECEqWuVaWFPhKkDYRq9vDHj55NPqheKhRdWPxYQqph4YMcdmY89lnnBBVU8xCsmMcIU/L7HCkUx2+5jRlO8xGMSjrPPtrUi5YSB4hlAFzeMEzd1id93X5kAqfizIR5MDLzwwtjfia22qqb4Q28ZzGCPOReq2LPHxHE7pZ91lnqn+Ogjfa3Qoor3kVdf1eeTVGGgQxkQYWohJF0XEWHqWJjGb2a01GDMGl6MMbYNPwqYxOjvf2fGumN1Dz/9xLz22qpemNUU3bwkCANVYuDGG9X1ia73pvDPf6q8EAYShAHfDGBZFozhhOCbdtrq90bB7xh+07DOtYTyGBg2jHnqqc0fCL78UvVyQpdwCcKAMNDEgAhT1yrTwp4I04KFafSyR9csCNV2C2glxqRQeEHZZBNmTNQhQRioAgMY640XfPRewEu/KaBFFdfxxRebckq6MOCWAaxRvcgi6vr729+YISKqHtBSisn60N3Y17I1VeekDHyY1GjllbN5Hj5cjQ9uhw/j2WosuYSBzAyIMLUQkq6LiDD1KEwz3xo1zIgXlBNOUC9Vyy5bza5nNaRVIOdkYJttmMcdlzlrCyha/Hv3Zt5115yOpbgwkJEBfNhDiyPW0MWkctdfn7FgRbJhMibMCNu3b3v0AqoIrZlh4IM3WthHjsxWBB/fMPwG45clCAPCQAMDIkzHqsyZiOhBInqViF4hoj2DpD5EdC8RvRlspwjiexDRmUT0FhG9REQLjzVFWwf5UQb72iDCVIRpw12Z9wAzEuNHcu65md97L681KS8M2DNw113qQ8nBB7dmY8gQ5iWWaK2M5C6fAbygY53aRx5hvvNO5qefVseYsbSqYyAhEgYPVtfp+uvXV9hhgj+M4V5hhfzLppV/JdULAT66oZcH1mHOGtZdV30EwTJ4EoQBYaCbARGmYyVj34i47E1EbxDR3ER0EhEdEGTD9sRgfw0iupOIIFCXIKKngngI2XeICFuIWOyHYnast8ieCFMRpt13pKudBx9knmwy9QX9+eddWRU7wkB2BiBGsN7jnHMyYzbKVsLee6txWFm6/rZiV/LaM4DhARCd6C6Kj18YL4wltdZbj3nQINVdGy/naX+9eqmZbeefX4mnjTdWww/QaoRxkrB5993Mzz7L/P77zEW/sKNl/owz1HWG2aKvuqq64jnrWQuXY5KWuKyMucl36aXquh8zJrs9fLzBvSJr0WbnTHJ2BAMiTCMCMbZ7CxGtTESvExFEKwK2OEa4gIg2DfaxCfMhDmlhiOcL47u3IkxFmBbytMFyOFhOABM+oeVKgjDgk4Hdd1fd1bCMQqsBIgEvbS+91GpJyW/DQFx0YkhAFtGJj1/zzsu82mrMO+zAfOSRzBBH99zD/PjjzFg6Ay/tJ5/MvP/+zNttx4yWIizjNcccqsUIXRrTxCyWwsIzLBy/t+mmzLiu4Oecc9QSYffdp7qJYzbUrGPr335brX8Nv1i64+OPbVirZpltt1V8osVagh8G9tiDeeKJW2upRg8CTMKILtgyYaGf8yReasGACNNuediw05+IPiCiSYnou0gKWkfD49uIaOlI2v1EtAgRjSCiQyLxhwZxkaiu3R2JaDT+euFLcgVDv/2bBaOvuArSUU9IeOFaYAE1MQZeGCUIAz4YgBiF4ICIsAmvvaZeriFqJORjAGINQixs6QxFJwQiWjqxrmKSMNSJTix1gRZxFwHjO7EmJ1qbcN1gTWbMog6cI0YwY4zyWmuprt2zzqrWwk3CG8bhQxzW9sQkRhDMW2zBvNdezMccw3z++couRMSkkyoRXdUuxrbcoqV5vvmU6P/gA1srUq4VBrA2M7qDtxqw9jquW1mHvFXmJH8bMyDCNC4XiSYhomeJaGiQFArRMOe3wU5eYRraI2kxbRbAbXzP+a8aJsbAbIH4ATz88Pp3V/PPoHhshQF020X3XXTjtV0bGC0IEBhotZOQzgDGdIaiE63MVROd6cjzpfz+uxoLil4hDz3EfNNNzBdcoNaoRjfwLbdkXn111SI1YICaTCsUrtjieYjuwu0aMG4WE4hhnDauEQnFMRBO1rbLLq37wFCFfv2YIWwlCAPCQBcDIky75WHXznhEdDcR7ROJDrvoIkq68npqRZX70zEDeJFDywNeytDVC8cShIEiGMBER7jO8nYft22FKKJOVbQJwTH99IrrqOjy1dJZRU50mNByjB4kb7zRGR/nbrhBXRt77qljRdLyMvDWW4rnCy+0s3T66ar8U0/ZlZdSnckAenqgF9ypp7Zd/UWYjlWg6KZ7BRGdMTaqa+/k2ORHmAwJYc3Y5EdPB/GY9OjdYMIjTHqEfcSlBmkxlRZTL08WPMgOO0z9CK66qruueF7Ai5NaMICJtrA0zNZb54eL7pcYYygTICVziRdZCNJ991VjOl12r032KLF1YwBjH3GNQKRKKIaB8APA6NF29tElHh+TMBmYBGEgCwNffKEmncO9jd4fbTZGOaMwXS2Y2wcro4QT1EZ11szBSivPByunYMLa2gWMF+WgAi8QEf5QkSmJCONHsfTLfRGRCSF7DhG9TUQvB+NLw0oPC5aRAWHbhpFpWxGmIkyzPIuc5cH4LSzGvuCC7TXphzOCxJAVAxCQCy+sZmf9+msrEw2FrrxSvVS//HJDtBwEDGBGWbyYYNIfCcJAEgNoVV98cdWtFy3FEtwzcNBB6ve01ZnHo0j224+5Z0/md9+Nxsq+MNDMwO23q99YzE2DSeXaTJSiwhmE6TiB9hpIRL2I6MVgFZWozPoHEe0cRGCFlfeiibJvYECEqQjT5qdPwTF33KFmEcQ4QIzTkiAM5GUAy4dAKN14Y15LqjxaAGHv8svd2Gs3K2hhwYy1EoQBHQMYS9unDzOW6fnlF11OSbNhALM6Y7KpPOHDD1VPE/QSkSAMJDHw009qeS38JmImdKxb3KYhgzAdHAy7DNXVgUSEv2jAiij7BxHI/0Q0UfYNDIgwFWFayvMF6wVON53qRoR1TyUIA7YMYLKVCSZgHjrU1kJzOczWitlT0R1RQjMDEKXS/a+ZF4lpZgAfIvFCO2xYc5rE5GOgb1/mrbbKZwOlMXs0Jnz79tv8tsRCezHw9NPMs8+u7uF99ml9XfCasUFEv4WrlgRbrGISDRsS0UWRiC2J6OzIMXYxJxB6s35ERJi0dlAsXQ51DIgwFWFa2nMDXYfmmosZ3UKuuaY0GOK4xgygK9GQIWoZj08+cVsRrHeJPwmNDKD7LoQGJk6RIAxkYSCclEyWYMrCVrY8n33m7j7E+Hzc0+h5IkEYAAMYHoM1mzH0Ch8i77+/I3jJ0GKaRZhiEtt9A+2FFtNXiainTotJWoQBEaYiTEt92nzzzdjF5vGj2G7r+pVKbgc4P/dc9UJVxDq5aC2daKLWFq7vAMq7JrPBS+yTT3ZCbaWOLhhADyisGdoAACAASURBVIQVVlATir30kguLYuPOO9Wzz1WPI5yfGWaQJX7kymJ+80213BOe85tt1lEt6RmEaZauvK8Q0UwRqfUOEU0TOZZdHQMiTEWYlv4cxsQN6BaIhyDWY8NLjARhwMQAxq+h+9lKKxXzQQPjS3FNvvKKCUlnpaM71/jjywtsZ531/LVFCx+6ns42GzPWt5aQj4Hjj1fPJ1fdb8Mu15j4TUJnMoCGgX/8Qw1jmXzyjuzJlkGYjktEEJoDIpMfzRPTWXcS0TZB3FxE9AkRYdJaCVkYEGEqwrQST2B0yRwxQv3Qrrsu888/VwKWgKgoA/gBXX111aL5zjvFgMTEXBCmV1xRjP26Wh08mHnJJeuKXnCXycDDD6uugRttVMzHpDLr5ts3PuYOGODOK56pc8/NvMACcm7csVofS59/zrzOOuo3D63nmBSrA0MGYQpphVVT3ghm5z040FpHEdE6wT5m4n08mLEXq6yskkWPSZ6AARGmIkwr9ew56yzmHj3UMgNYL0uCMJDEwFVXqR9QLFtSVEDLPbry7rlnUR7qZ/fXX9WYcHxEkiAM2DBwwgnq3j3zTJvSUiZkAC3PLid8g10s54aPcffdF3qRbScwcOutzFNPrXrCnHZaWy4Dk/U0ZhSmoiGLZECEqQjTrDest3z/+peaZXXWWdVYB2+OxVEtGMCX3SmnVGNgiu72jZbBpZeuBS1eQP7nP+rF9aabvLgTJ23IAHrHrL0283jjyThl29P7ww/qPjzqKFsLyeUwrGbaaVVvlOQcEttODPz4I/MOO6hrCS3lsm53lnVMi5RkYhsMiDAVYVrJ5+wTTyjxMdVUzHgZliAMhAxssolqtfMx9nP33dV4m6IFcFi3qm/xNR0tKq5nQK56vQWfWwYw6V3//sxYy/qrr9za7gRrjz6q7sNRo9zX9uijlW1ZY9w9t1WyiPcqfPxHD7WRI5nRG0aCCNMqSGMRpiJMK/sseuMN5llmUYt/H3aYPDgre6I8ArvlFvXS5LqlIK0Kl12m/L32WlqOzorH2MB+/TqrzlLbYhh45hn1gQljxdGKKiE7Axjygg9EWLrJdcCHggknlHVnXfNaFXu//86M9yksA4MPQw89VBVklcAhXXkroExFmIowrcTTIA0EfiSx+Dd+hDExg7SepjHV/vHffcc8/fTM88/vb0ZYLG2Baw9jWiUwzzgjM1qsJQgDLhgIl3s69lgX1jrHxrBhakxgUcur7byz+mjw6aedw2kn1PT115kXXVT9pm25JTN+UyU0MCDCVIRpwwURPei3f7Ng9BUXxSH7FWHg9tvVIs/odrLXXsw//VQRYALDGwM77sjcsyczWlp8BSwyjtaDvff25bG6fj74QL3Q/P3v1cUoyOrFAITVppuq+/qBB+qFvUy0Cy3EvMoqxSFAbyX81h5ySHE+xLI/BnCfnXee+i2bYgrm66/357tmnkSYijBNvWR9idAkP6mgJKFcBrD2HdY5RQsWpsm/995y8Yh3fwzgpRXnfb/9/PkMPS2xBPOQIeFR526vu06dg6ef7lwOpObuGcAELHPOqSbdkbHLZn5/+01NHIVxgUWG9dZj7tNHPgIXybEP22j1XmMN9ezGx4wiun/7qIcnHyJMRZimXmpJgtFXXCooSagGA1gLD1PlQ6igS5OrBcarUTtBEWcAa9pirDEmaihjfdtdd2Xu3VvGwaGnwgQT+OtGHb8O5Lh9GcBEO1iaCR+A0EtBQjoDL7ygfvuuuSY9j4uUcIKlc85xYU1slMHAzTczYwJJPLexPJOM5TaeBRGmIkxTLxJfIjTJTyooSagOA7/8wnzAAWoAf9++zHgAS2hPBvbdV72IPfhgOfW75BLlf8yYcvxXxevii8vSOVU5F+2I48or1X2G57qEdAYuvdTP8wjdPxdbTH0QlFnJ089HFVOwnBA+2uPjPbp9+5jBvoo8WGASYSrCNPWySRKMvuJSQUlC9Rh49lnmBRdUD2DMGPrZZ9XDKIjsGXjqKTX+bKed7G3kLfnii+r6uvrqvJbqWx7rG2LdyTK6UteXNUHeKgMYR46X6SKWQWkVS1Xz77GHvyWsMBYR50M+/Fb1amjG9dhjaqgT5mM48EDp4dLMkDZGhKkI09QLxJcITfKTCkoSqskApj/HrI69ejFjYP/llzMXNVthNRloT1QYSzXvvMwzzFDu7IHoWoiuUPvs0548Z6nV44+rF9R//StLbskjDNgxgA8gaOHBc/zdd+1stHupZZZhHjzYTy3x7MN6s0st5cefeLFnAO9BBx+sPuTinKErtoSWGRBhKsI09aJJEoy+4lJBSUK1GcBak0suqV6gV1uN+b33qo1X0OkZOPJIdS5vvVWfz0cqurEuu6wPT9X0ccop6lzI8hHVPD/thOqtt5gnm4x5kUVk7er4ecUYQYx3xySAvsIZZ6h7/8knfXkUP60y8OqrzIMGqfO07bbMmChSghUDIkxFmKZeOL5EaJKfVFCSUH0G8MONxccnnph5kkmYzz5bBvxX/6w1I8RkKOg6iqUkqhCwrt+kk3butbTBBqp7WBXOhWBofwbQdRRdSDHxmISxDEC0g5cLLxwbV/QexiviQwGGykioFgPoGYb3HfTomXJK5ptuqha+GqIRYSrCNPWyTRKMvuJSQUlCfRhANzBMjY4f8aWXZu70iWvqc+aYMdEGWigxm+AXX1QD+UUXqWsJ6/t1WsDLz/TTM2+2WafVXOpbJgPhpGdFzz5bZh1b9X3DDeo5NHp0qyXz5d9/f9VF9J138tmR0u4Y+Phj5lVXVdfD6qszy1JLTrgVYSrCNPVC8iVCk/ykgpKEejGAF+rLLlPjlcYfn/m445gxDkNCtRk4/XT1Y/vPf1YH5/PPK0yd+JL8/vuq7vgyL0EY8MUAntUY24jeL3gJl8B80EFqJnqMxfUZsPbluOMyY+IlCeUzgA8UWGN2wgmZsZyPzKnh7JyIMBVhmnoxJQlGX3GpoCShngxgXNyGG6qXa8zg+9xz9axHJ6B++221nuFaa1XrxxYvyfi4MWJEJ5yFxjpee626d3y30jSikKNOZOCll9S1d/HFnVj75jqjZWy++ZrjfcRsuaX6SPDNNz68iY8kBr77jnmrrdQ9gTHY0hMsiaVccSJMRZimXkC+RGiSn1RQklBvBjD+Yrrp1BdnrJXn+6tzvdkrHj2++q64oprc48MPi/fXqodFF2VefvlWS9U/P1pJ8GVeehvU/1zWrQZ4Jkw9NTNEkQRmrNkNYVJGeOEFJYhOOKEM7+LzkUeY+/VTXaoPPVSexwVdESJMRZimXlpJgtFXXCooSag/A/jai1nrMPZ09tllSvUqndFwHOf551cJ1Vgsw4erSUA6rdsUBPmQIWN5kD1hwCcDmHRnppmq1YPCZ/1DX1ijG79bGOpQVlhpJTXeHEt5SfDDALjGGN8ePZhnmYX5iSf8+O1QLyJMRZimXvq+RGiSn1RQktA+DNxzj1qfDT/0mPkRMw9KKI8BjCHDzI9YkgUzK1cxYCZMXC9vvllFdMVg+uUXNbYML0YShIEyGMAYOtx36ObfyeHOOxUPDz5YHgshBqwVLqF4BjDsCMOPcP1vvz3zjz8W77PDPYgwFWGaegskCUZfcamgJKG9GMBDfs891ZfImWdmxo+uBP8MoAVy3XXVlPdVnvUWLwl4QcCYy04JWKQddf73vzulxlLPqjHwyivqGuz0caaYvA/34rfflneG8KyeZx7m+eeXFuwizwI+COJj4DjjME87rTx/i+Q6ZluEqQjT2CUx9tCXCE3yMxaF7HUEA+gaM9dc6kcf43e++qojql2ZSl5/veL+pJMqAykRCLpU9erFvN9+icltGYlzgpfhzz9vy+pJpWrAgIwzVSdp442rsZbwJZeoZ8K999bg4qkhxPvvV1128dzdbjtmmWzK60kUYSrCNPWCSxKMvuJSQUlC+zLw66/MmFAAU+JPMw0zxFKnjSUs4+ziIwD4HjSI+Y8/ykDQmk/gxARNnRLWX5954MBOqa3Us6oMyDhT5tlmYx46tPwzhN9KTCKINTQluGMAAnTYMCX6MZYUAlWCdwZEmIowTb3ofInQJD+poCSh/RnAzIMQH/haud56sn5e0WccLdT4GADe6xB23FGti9sJHy1QR7yAbr55Hc6MYGxnBjp9nCnmQMBv0tFHV+MsH3OMwvPyy9XAU2cUeM7iQzi67KLrLrrwoiuvhFIYEGEqwjT1wksSjL7iUkFJQmcwgJY7dGGcYAI1IQ9mi+0EIeL77IYTaRxyiG/P9v4uuEC9kHXCRCzvvqvqClEgQRgok4FOH2cajvUeNarMszDWN3q6YAkpzHAvwZ4BLIu2zjrqObvwwrLGuj2TzkqKMBVhmnox+RKhSX5SQUlCZzGAiXiwTAa+VKP7ZieIEV9nGC0AmHAKY3vRNawuYfRodT3gC3e7h3/+U9UVkz5JEAbKZAAfBjt5PdOzzlL34kcflXkWGn1jNvvxxmP+5JPGeDkyM4CZ5889V63ZDYF/8sn1GMpirlntc4gwFWGaehEnCUZfcamgJKHzGMAPyHnnqR+QiSZSa8j9+Wfn8eC6xrvtpmZDrtuabBDReBnrhOVTdt+deeKJ5YXJ9bUv9uwY6ORxphh7CGFepZ47WDYLa2sedJDd+ezUUq++yrzUUmM/eL/1VqcyUcl6izAVYZp6YfoSoUl+UkFJQucy8MEHzGuuqX5MFl+c+b//7Vwu8tYc3dLwQoOleuoY0OUKC823e1hkEebllmv3Wkr96sJAJ48zXWgh5lVWqd6ZwuRoU0zB/NNP1cNWNUSY1f2oo9TM7uDs0kur9aGhanyVhEeEqQjT1EsvSTD6iksFJQmdzQC+Vl99NfOUU6pWsyOPZP79987mpNXa/+9/zHPMwdy/f30XC99hh/afAOnnn9WkVAce2OoZlvzCQDEMhONMsVxJJwUIGvTSGDmyerV+7DH1sfbss6uHrUqI0DMI679iWNAmmzB/9lmV0AmWCAMiTEWYRi6Hxl1fIjTJTyMSORIGYgx88QXzppuqHxnMKlul7lUxqJU7hNDBj/M991QOWmZA55+v6vDOO5mL1C7jww+rOt56a+2gC+A2ZSAcZ4pnbieF559X9+I111Sv1jgnSyyhlpSSIS7N5wdzKWBIBHoIzTgjc1Umr2pGKjEBAyJMRZim3gxJgtFXXCqoIMEXjiQ/JmyS7pEBtJhCZFXxS7ZHGjK7wtd1TIdf95kcn3lGnfcbbshc9dplPOEEVUd8hJEgDFSFgQ03VJOmddLHQHT5xO/MmDFVOQuNOPAcBL6bbmqM7/Sj229nnmkmJUoxpwJEqoTKMyDCVIRp6kWaJMp8xaWCChJ84UjyY8Im6R4ZwMvR8OHqR/n00z06rqGrF19knnxytUg8FhKvc0B3ZKy92s7dXNddl3nWWet8lgR7OzKALqMQQe3cWyF+3vbYQ01CVtUWSeAaMIB5ySXjyDvz+PPPx/aowqzzjz/emTzUtNYiTMcK00uI6Asi+u/YKDqCiD4moheCvzUiaQcS0VtE9DoRrRqJXy2IQ9oBkfjU3Ykw02gFQ5Io8xVnosMXjiQ/JmyS7pkB/CgPHapelqrY1cozHYnusOwOFg9HV6b33kvMUrvIBRes5mQkLojEB5dppmHecksX1sSGMOCOAUw6B2HaSeNMl1mGefBgdxwWYenvf1fnpW6zrLvkAs/Nyy9n7tNHjQk+4oh6LYXmkosa2ypBmI6fINCS4hKyFRs1hIgWThCmIxLczk1ELxIRgA8goreJaJzgD/sDiahXkAd5tUGE6W0cF4Cmeyqe3+exCZukl8AAWtCw3ikmqLj33hIAVNglFhDv1495qqmYX3utwkBbhLbddmoSrHbsUoj1evHyj3X2JAgDVWIA9xueJZ0yzhTLlfXuzbzLLlU6C81YfvxR9YjZYIPmtE6IQQv+yiur5yY+ImCiLgm1ZKAEYfpcgkhLikvIVnxU/4zCFK2l+AvD3UQ0OPjDfhji+cL4hq0IUxGmtXx6VA30t98yzzsv8ySTMD/7bNXQlYPnyy+Z0ZUJL1ajR5eDoSivEG0Qb+3SAhzl6aqrVN0w6YoEYaBqDHTSOFOscYnnzIUXVu0sNOM54ADmnj2Z8WGrU8IffzCfeiozeh7itx9LGuFjgoTaMuBRmE5HRIOI6DUiWihonEQD5XJENKZBqJV4kCRM3yOil4gIXX2nCLCdTURbRHBeTEQbBn8XReK3JCLkTQo7EtFo/PXq1auSF5DPVsi4LxMh8fw+j03YJL1EBj76SE3MgW6Qnb5o9vffMw8axDzBBMyY4bXdwlNPqRfGdpzwY9dd1UsWXrokCANVY6CTxpmGEwvV4cPexx+rXkOYhbYTAj7c4TcOHw7WWosZa51LqD0DHoXp1kT0IBH9GGyxj79biGhoknArIy4uTKcNuuf2JKJjA3EKXC6EaXf9pMVUWkxr/ySpUgXQXRVjTGaZhRmTIHRi+OUX5mWXVRME3XZbezIQToB00EHtV7+FF2ZeYYX2q5fUqD0Y6KRxpni+YCZzPG/qENDFGq2HX39dB7R2GPH7htZhnBd8hL7uOlkyzo7JSpbKKEyzzOezMRG9SkSvENE/u0VX884GzVHViYkL0yiyaFq8i6505d2/WVzmacU03S15bOcta8Im6RVg4D//YZ5wQvU1tdOmiP/9d/X1GOu2/fOfFTgZBUJYYAHmVVct0EEJpn/6Sb1wHXxwCc7FpTCQgYFOGme6+urM882XgZSKZMHs62hBPO64igByDOPBB9XM8qgjlj1rZwHumLq6mMsgTDGnj2k+n9mI6PlIT9dpooIuto8uvej5emcQj7mBtovlyX04n6WFqPiEib4RO3sT0bXB8TyxyY/eCVpWxyUi7GNCpHDyI+TVBmkxbRa1phsor7jMU96ETdIrwgAW0sYXVUyI8NtvFQFVMAyMrdlsM/Vict55BTurgPlhw9RELO00AdJDD6nz164t3RW4bASCAwY6ZZxp3771m+gJv3nA3U6/e1jibPvt1bNx4ECZ5NDBLVxVExmEKeb0Mc3ncxIRba8VX2MTIUjRuopJbRGg5V4O9p1tHiWip4loFyKaLKPVa4joUyL6g4g+CtTylQE4jDG9NSZUDw4UO5aLWT3iA0vKvBGkIY8xiDAVYVrVB0TtcWFJA3xZ3Xzz9p8QAeIMM0e289fy+AUZjnVrp7FFxx+vzuFXX8VrK8fCQHUYCO+9dl7P9LPP1L1YtzWy77pL4b7ssupcL7ZI8Lt2443M002nJnbabz/mn3+2tSblasAAEf0WzsETbDEnTzRgTh/TfD7/JiKI08eJ6EkiQtfftPBMkIAW1jBgmVDnAc24xwdrjaJv8crOPTgyKMJUhGkNnhX1hXjssepHet9961uHLMjR9ROiFD/c7dSCqKs7umyjzjffrMtVr7S112aeffZ6YRa0ncdAJ4wzvfNO9XxBL4Y6BTz/MUM9uiDX+bcAkxmut546BwstJLPt1+kazIE1Q4tpFmF6GxHdTETjBb1YPySiyVNk20NENCURhUvELEFED6fkzR2NfsgY1PpxMB0wpv+tzExLYe1EmIowzXEPS1ETA/hh3m039eN2yimm3PVMR70g0HbYod4vIq2yj0kw0F37kENaLVnN/LhWsUbk1ltXE5+gEgZCBsJrtZ3XM8U4TTxXsRRZ3cKllyrsd99dN+SqdxOGokw6qZpV/qSTmGWG8vqdR0vEGYRplq685xPRtqHOIqL7iWjRyHF0F0vEoGX1+2CLXq/zRzO42IfB04MutecEa9PA7vRE9L4LBy5tiDAVYWp5/0qxrAz8+SfzRhupH+orr8xaqh75LrpI1WvjjZlRz04LaBXABCXtEN58U53L889vh9pIHdqdgXYfZ4pn6oAB9TyLv/6qur+uskq98I8Zw7zMMuo5iJnJ8UyU0FEMZBCmWebzQdfdywOtNhURocUUraJpATYxJ9C8QStrWj7reDTBYg3RCRMsIL5SQYSpCNOOeuqUVVlM97/ccmoJlTp+RU7iDWvsYUH11VZrr4kukuqaFrfNNmrJgDp3WQvrdsUV6oUMM2tKEAaqzkC7jzOdbTbmoUOrfhbS8YXDWOrwPMHv8zHHMPfqxTz55MwXX9xZvX/Sz2LHpWQQptBwSfP5HEVE6wQCrwcRnRYsF4OJjDbRCD/0pI3/rUhEupl8NeaSkyYJZskNU7EO6UThQdW2IkxFmHbck6esCn/3HTOWGJl4YuZnnikLhRu/mOBivPGYl1qqsyeDOOssJeY+/NANr2Va2Xln5t69O7Plu0zexbcdA+08zhTLjKEb79FH23FThVJYSgVrmlZxaMDHHzPjw+o++zAvsYQSpOAbrdSffloF9gRDSQxkFKYupdztRPQNEd0U/H1NRPcQ0ZtBI6cTX5iBCeI0DNh/Ijyo2laEafsI0zzL0OQtW9IzpH5uP/mEuX9/5qmnZn7jjfrhB+LHH1cvHAsuWM/xTy5Zf+IJ9QL573+7tFqOLZzPFVcsx7d4FQZaZaCdx5k++qh6rmDZsToHzK+AD5gQgmUFrK2ND8F//zvzJpswzzyz4hZCdPzx1cfVESOY77+/LITit0IMlCBMsfTMtBFtiH3E9SGi/0bic+0mTfObFJfLiavCIkxFmOYVpSgvoQUGXn9dTTKD8UN1+zr7wgvMk02mFhnHcgadHrB0ALozH3povZn48cf2qEe9z4Kgb5WBdh1neuaZSjxhZtg6h7feYu7Rg/nAA/3V4osvmG+5hfmAA5iHDGGecMKxQnSGGdR8D6edxvzkk8wYCytBGIgwUIIwfTWm59ANOIyLLiETy9baIWZXwixLYRhERP8JD6q2FWEqwlSEaeSp5GsXP4ro5oRp6L//3pfXfH7QwjvNNMwzzsj8/vv5bLVTaSyNsMYa9a7RAw+ol7c77qh3PQR9ZzHQruNMhw1TvWraYew6xsli3CY+frkOmHAPH0sxi+6WWzLPOutYETruuMyLLca8557M117L3E7rTbvmUex1M1CCMD2XiLC8zNbB361EhLiJiehBV5oRUwK/TUSPEtFjwVqmEKeVDCJMRZj6EKYufNja6H7iVG0HIgA/nug+WfUvtxhDiS5QWE7ktdeqxmS5eLBkBRZgr3MIJyr55ps610KwdxoD7TrOFB8s6zajbdq1Fw53QCtw3oDnE3430UMFv5sYE48uufjDR1OsO3riiczoCo3lvCQIAy0yUIIwhTbE0qJYzQV/WCcVrabOAxZVxbS/hU396wqxCFMRpraCL1rOdO9H8/reN2ErNf3yy9WP6t/+ptZPKxVMinN0jZpzTrWu27PPpmTq4GiMXcKLUZnjqPLSv9Za6hzntSPlhQGfDLTjONPfflPjMkeO9Mlksb4GD2YeOLC1idX++ov51VeZsSTZdtsxzzXXWBGK4RMYE7/LLsxYgu3tt2UW3WLPYMdY9yxMxyGiMa70nMnOkkS0GRFtFfkzlSklXYSpCFMXQtH01HLhw9aGCVvp6fjCC2GDLkdV67qFbsaDBqmFxh9+uHSqKgngscfU+bv11krCM4LCNTfllMzbbmvMKhmEgcox0G7jTJ9/Xj1PrrmmclRbA7rxRlUnbNMCZiK+7z41EzHWhp5iClUGv43Yx3AJLOmCSYqK6BachkviO4oBz8IUuu8WIpq5aAF4ZTALL/oInxX8nVm0U1v7IkxFmNoKvmg505Mrmtf3vglb6ekQBhCl+AGGSK1KQFcoTB6B7sa3314VVNXD8dNPauKgww+vHrYsiDAZF669f/wjS27JIwxUi4F2G2d66aXqfhwzplo850GDsaBoMcXSLAj4zXvzTWasnTx8uFpGDa2geA7hb555mLffnvmSS9TQEbSeShAGPDBQgjB9hIh+JKL7iQjjS8M/W1mXWO61ovoHJ3rLGSnCVISpC6Foel648GFrw4StEun44cVU9vhRRvfesgOm2F9zTTWjYjt9uS+K17nnZkZ32DqGyy5T193LL9cRvWDudAbabZzpHnuota4h5tophGs+r7yymtgpFKEYJ4q4ww5jxvrY337bTrWWutSMgRKE6bJElPSXU901Fr+BiPo2RlX3SISpCFNbwRctZ3r2RPP63jdhq0w6JkDChA7jjKMmeCgLGETyZpspsXL++WWhqJdfzAjZt2+9MIdod9pJjR+WVomQEdnWiQG0vmFSNkxC1g5hmWWYMSaz3QJ6lswyi1pqbOutmfHb8tJLrY07bTdOpD6VY6AEYepFIGJ632+DBVLDJllsKxlEmIowdSEUTU8XFz5sbZiwVSodYzoxIyOWknnqKf/Q8JK3885KlB5/vH//dfV4xhmKs08+qV8N5p9ftVjUD7kgFgYUA+0yzhQfh9CCiEl9JAgDwoB3BkoQpksQ0TNE9BMR/U5EfxHRD64FY1KTLOIqGUSYijC1FXzRcqanRzSv730Ttsqlf/aZGo+DVgCM//MZDjpICax2mhHSB39YngBd00aN8uHNnQ9MOIKxXehGJ0EYqCsD7TLO9K231HPkwgvreiYEtzBQawZKEKajiWhWInqeiDBL77ZEdHwRgrEfEa0UGJ6IiHoX4cSFTRGmIkxdCEXTk8iFD1sbJmyVTMfEEFNPzdy/P7OvVriTT1YvRTvuWL3ZgSt5kiKgMEtkjx7MRxwRiazBLmbBhKC+884agBWIwkAKA+0yzvSGG9T9OHp0SkUlWhgQBopkoCRhCjn3UkTTQaQ6DTsEzbJvB1ZnC2ZbcurElTERpiJMbQVftJzpQRHN63vfhK2y6c88oybBWGAB5u++KxYmvtBDoGA91XabdKNY5sZax1qv66wz9rgOe0cfrc47Fq6XIAzUlYF2GWeKHiuYBf1//6vrmRDcwkCtGfAoTIcGOg6z8vYioiuI6CQi2puIXnSl8UI7LwROoor35TCxalsRpiJMXQhF05PIDYGj7gAAIABJREFUhQ9bGyZslU6/+271orLccsyYHKmIcP31qrUPa8dhcXcJdgxsvjnzDDPYlS2rFNYGxIzCEoSBujPQDuNM8Qyeb766nwnBLwzUlgGPwvS5QA+ih+2ERDQpER1ORKcFXXudysWnAmuhMB031kTr1FleYyJMRZjaCr5oOdNTKJrX974JW+XTr7pKtWpttJH71kx04RxvPOall2b++efKU1FpgKedps4TxgjXIaCVqU8f5u22qwNawSgM6Bloh3Gm003XPrML68+WpAoDlWSgBGGaV8ZlKo+m2IOIaAwRrUxENxPRsZlKlpBJhKkIUxdC0fSEceHD1oYJWy3STzlFiZ7ddnM3/vOxx5gnnJB5wQVl7TgXF8HDD6tzdPvtLqwVb2PMGIX3oouK9yUehIGiGaj7ONNPP1X34+mnF82U2BcGhIEUBjwK01+CRkuMLU36c6oIexIRxpliPdMbg/0eTj04NCbCVISpreCLlku5x7ujo3l973eDqPvOvvuqF5djj81fk+efZ55sMubZZ2f+/PP89sQCM2a4xQRIRx1VDzYuvVRdT6+8Ug+8glIY0DFQ93Gm6L2Ccf4PPaSrpaQJA8JAgQx4FKavEBG68ab9OVR6NTMlwlSEqQuhaHpOuPBha0OHzdami3I6XIlpWOMO4xjx8nLJJYlZMkViCZpppmGeaSbm99/PVEQyZWRgjjmY1103Y+aSs+2wA/PkkzPjupIgDLQDA3UeZ3rccerZ/u237XAmpA7CQC0Z8ChMw+GeXlTju0T0TsKfF+etOhFhKsLUh8hy4cPWhu7paGvTRTkdrtQ0TE60yirM44xjt2bmBx8wzzyzWooGXTkluGVgs82YZ5zRrc2irM07L/OqqxZlXewKA/4ZqPM4U8whMGCAf87EozAgDHQz4FGYnt2qXsuTf0oiCv9mIKK9iOioPAaLLCvCVISpD5Hlwoetje4nTsKOrU0X5RLgZItCl9FBg9T40CeeyFYGub74ghlLmkw6KfNzz2UvJzmzM3DqqarVo+rdo7H8UB3XXc1+JiRnJzJQ53Gms83GPHRoJ541qbMwUBkGPArTIqVdJtvPZspVQiYRpiJMfYgsFz5sbeieeLY2XZTT4TKmQfjMOquaVfXVV43Z+fvvlZidYALmRx4x55ccdgw8+KASpnfcYVfeV6l77lE4sRyRBGGgXRio6zhTfGzEEA2sKyxBGBAGSmOgXYXpwkQU/i1CRMOLWCzVlYYVYSrC1IfIcuHD1obuCWdr00U5Ha5MaW+/zTzttKpr7kcfpRf55RfmIUPUeqh1mTE2vTbVTkFLJF4wjzmm2jiPPFK1mAKvBGGgnRio4zjTRx9Vz41Ro9rpTEhdhIHaMdCuwvRBIgr/7iWiC4loDldC0rUdEaYiTH2ILBc+bG3onoy2Nl2U0+HKnIYuub17M2O8YNKkGb//zrzmmkqEXHttZrOSMQcD6JK3/vo5DHgoutpqzPPM48GRuBAGPDNQx3GmZ56phKnuA6NnGsWdMNCJDJQkTJckos2IaKvIn2u5Vx97IkxFmPoQWS582NrQPVxtbboop8PVUtp99zGPN55qFf3f/8YWxWyrmIwHLXgXXDA2XvaKZWCTTVQrdrFe7K3jusBsvNtvb29DSgoDVWWgjuNMhw1TE9KhK7IEYUAYKI2BEoTplUT0BBGdS0RnBX9nulaR+xCR7s+1v1z2RJiKMPUhslz4sLWhe8LZ2nRRTocLaa342G3t/boE6B2zL8kD9ruF+40cxVcstEZX3PHLbtOSLRMuSTcwcPLJ6mPAl18aMpaUjDHJeZccKgm6uBUGjAzUcZzpQgup2daNlZMMwoAwUCQDJQjT14ioRy4hl6HwP4noTSI6Nfh7g4iuIqLDg78MJvxlEWEqwrQVAZSW1/SgSCvnI16HzYf/NB86XEhLK5cWf8SKO3QJDgjSswZv3LV/7uIbtmzHhEvSDQw88IASfnfdZchYUvLFFyt8r71WEgBxKwwUzECdxpliCTD0eBk5smBSxLwwIAyYGChBmN5ARH2LVn2PEFHviBPsI66SQYSpCNM0odNKvOlmb8WW67w6bK59tWJPhwtprdgK80KIdrWGEfFVC67W1XIapmXdFoErq29TPhO2SqSHEyAde2wl4DSBQBfeKaZgRpdeCcJAOzJQp3Gmzz+vntnXXNOOZ0LqJAzUioEShCnmJPqWiO4molsjf0414+tENH7EIvYRV8kgwlSEqUkMZEk3PXmy2Cgqjw5bUT6z2NXhQloWG015Ro7iCxZdny9deC3VpXf/5uu7qUwsTyG4Yj5MGNLSq4qtCReW8qnqmoSY9Gj11ZsgS4Qw0DYM1Gmc6SWXKGE6Zkzb0C8VEQbqykAJwnRZIkr6c6oZDw6WhzmCiPD3AhEd5NSDQ2MiTJtf3E03VNpLs494HTYf/tN86HAhLa2cj3gdNh/+03zocJXJWVVxgUdTSOO66PgmXH/7G3O/fk3RpUdg5uYePZiPOqp0KAJAGCiMgTqNM91jD+aJJ5YeDIVdDGJYGMjOQAnC1KGi05vCOqZ7Bn8L6bOWmyrCVISpi5d2023vwoetDR02W5suyulwIc2FDxsbVcWFupiCTX1dlGnCdeKJqhXkq6+akkqNwLhXTHx0772lwhDnwkDhDGCcaRU/DsUrvswyzEsuGY+VY2FAGCiBgRKE6RJE9AwR/UREvxPRX0T0QxHKcGki2jYwPDURDSjCiQubIkxFmBbyYh57oLjwYWsjBqXh0Nami3INQBIOXPiwsZEApSHKxqarMg1AEg5c+WnVThMULOEDAXjPPU1JpUYcfrhqMf3++1JhiHNhoHAGwnGm775buCtrBxjnjXWod9nF2oQUFAaEAXcMlCBMRxPRrET0PBGNE2jH413ou6gNzL47iogwGy/C9ET0eLBfuY0IUxGmrb6EJ+U3PRaSyviK02HzhSHJjw4X0pLK+IirKi7U3RR88JPkownXN98oYXr88U1JpUassgrzfPOVCkGcCwNeGAjHmV56qRd3Vk7efFM9Jy680Kq4FBIGhAG3DJQkTKENX4oIRIhUpwFjSrEmTdRw1GGSs0uI6Asi+m8ksQ8R3RssPYPtFEEabGPx1beCiqDbcBi2DvJjuRrsG4MIUxGmSS/arcaZHg2t2nOZX4fNpZ9WbelwIa1Ve67yVxUX6mcKrjho1U4iroEDmdGdsMRz2cAZWmcmm4x5xx274bZaT5f5u0HIjjBQBAPhONOtty7CuhubN9yghOno0W7siRVhQBjIxUAJwhSrtvQioiuI6CQi2juYp8io31rJ8HSQ+blgO3FMCSfZGkJEEJhRYQqABwSZsT0x2F+DiO4MxC/6Jj8VxEPIvkNE2ELEYj8Us0k+u+JEmIowdfGyaXoSuPBha0OHzdami3I6XEhz4cPGRlVxoS6mYFNfF2UScW20EfOAAV1JLnzY2ujGltCCZGvTRbluXLIjDBTFQNXHmR50EPO44zL/739FMSB2hQFhoAUGShCm/YhoAiKalIjQ4/a0oGtvqm6zSRhBRBcEwnAHIvoPEe2ewVD/mDDFEjPhoqvYhkvOwPamEXthPsQhLQzxfGF8w1aEqQhTHy+ZLnzY2tA9k2xtuiinw4U0Fz5sbFQVF+piCjb1dVEmEdcJJ6jWkK+/Lu1cNnCG7oIY9xpZlsJF3W1tJHImkcKASwaqPs4UyzZJ13qXZ1xsCQO5GChBmEKTTUhEczSIM4cH6GY7ExGtTEQnE9EpwX4WF3Fh+l2kEOyGx7cRESZXCsP9RLQIEUEQHxJGEtGhQVwkqnt3RyLCgNvRvXr1ynUSiyps+7LjopypTi582NrQYbO16aKcDhfSXPiwtaHDZmvTRTkdrjI5qyoucG4KLs6LjY1EXJj5NpgB18amqzLd2IYNY+7ThxldHIPgyoeNnRBD2tbGpqsyaZgkvmYMvPyyugerOs50uumYt9qqZqQKXGGgfRnIKExXCxoLMaQy7NnaLbAiOxsQEQcaLRLdsLt2YOvdIHZBIrq1IYeDg5ctbeiEKUx+G9h1IUy7IUqLqbSYuniZMz2mXPiwtaHDZmvTRTkdLqS58GFjo6q4UBdTsKmvizKJuL7+Wr0Un3BCaeeygbO55mJec80GqC7qbmujAUjCga1dF+US4EhUHRnAuOqppmKu4jjTTz9Vz4fTT68js4JZGGhLBjIIU8yc+zYRDQzGhr5IRHN3i6qxO72JCONHnzQI02eJaLLYvES2OnKs99je5US0aCwuy2FcmIZddFFWuvLu3ywgXbyAJNkw3W1JZXzF6bD5wpDkR4cLaUllfMXpsPnCkORHh6tMzqqKCxyaQhLPPuJScWGM6UYblX/9h7MEH3NMA1Qf3KT5aACScJBWzkd8ApzuKB/+03x0g0jZSStXdHwKnO7oov3r7PMGG1RzPdM771TC9KGHunmSHWFAGCiXgQzCdDAR3R0RdQcSEf7i4QwiWpOIHjIIUwhXhFYmzA2KZN+MCRZIhaLGbLxQvqZZeWE9LkzRFThsIsYWkyEhoKLRyY/CyZYw6RGagjHhEf6wjzhtkBbTZsFrui10P4JFp+mwFe1bZ1+HC2m6skWn6bAV7VtnX4erTM6qigtcmoKO7yLTUnHhpXjgwPKv//Al+P77G6AWyYnJdgOQhANT+SLTE+B0RxXp12S7G0TKjql8UekpcLqji/KbxS6fdZYSgFVbz/S44xSub7/t5kl2hAFhoFwGiOi3cKhjsMXQx2jYkIguikRsSURnR46xi8lsbwriTML0YiLaLNCJsxHRWUR0fsye9eHMQUnMsJT0pzN8DRF9SkR/ENFHRLQdEU1JRBg/iqVf7ouITIw3PSdoSoboxfjSMAwLlpFBv+dtw0jdVoSpCNMsP+6mPKZHial8kek6bEX6NdnW4UKaqXxR6VXFhfqaQlGcmOym4gpePufb89pyz+dhhzH37Mn8448NUE31KjK9AUjCQZG+TbYT4HRHmcoWmd4NImWnSN862ylwuqN1ZYtO46qOM43M2t1NlOwIA8JAqQxkaDE1CdOeQSspGhsRTMJ0IiI6loieCYQw9jFLr5MQLg8DY6FSdmK4SCMiTEWYungxMD1JXPiwtaHDZmvTRTkdLqS58GFjo6q4UBdTsKmvizKpuO6+u6tVZJNNji33fK60EvMCCzTBdFF3WxtNYGIRtnZdlItBaTh0Yd/WRgOQhANbu3nLJUBpiMprP095NowzzWM7T1mebTbmoUMbeJIDYUAYKJeBDMLU1JUX40W/IqL3gr9fieiTWCNikbKuwXa0f3B0vyFT1Q5EmIowzfPjGpY1PUrCfGVsddjKwBP61OFCWpjP97aquMCDKfjmKvSXiuurr7qE6bHLbVve+fzzT+bevZmHD2+CGeIvY9sEJhZRBqbQZwxKw2GYp4xtA5CEgzIwwacplIWrG5tmnGkZ2Obe63rVjffoo03USbowIAx4ZCCDMB03WA50QGTyo3k02i6txRQz7+r+NCazJ0VbTKP72S2UkFOEqQhTFz/MpueGCx+2NnTYbG26KKfDhTQXPmxsVBUX6mIKNvV1UUaLq18/vnXOZco7ny+9pF6CL7+8CaaLutvaaAITi7C166JcDErDoQv7tjYagCQc2NrNWy4BSkNUXvt5yncB0YwzzWPbtuwGm5+o7snbzM+0BiLlQBgQBgplIIMwhVJbg4jeCIZUHhxIt6OIaJ0EGZcmTL8kImjF/YhoCBEtG/tLMNV61F9E9AMR/UhEfwb74TG2lQwiTEWY2v64RsuZnhTRvL73ddh8Y4n60+FCWjSvz/2q4gIHpuCTp6gvLa6hQ/mdKfqWdz4vuEC9BL/xRhPMaB187zeBiUX4xhP1F4PScBjN53u/AUjCgW88ob8EKA1RYb4ytl1ANONMy8B02Eo7qXvyo48aeIoelIEr9BnFIfvCQCcxkFGYutBzWHYG66FiJRf0sj2GiHQtry581sOGCFMRpuGPUZ6t6cGVx3besjpseW3nKa/DhbQ8tvOUrSou1MkU8tQ7T1ktrmOP7XoJnXev60o5p7zNNmotx//7vyaYeeqct2wTmFhEXvt5ysegNBzmsZu3bAOQhIO89m3LJ0BpiLK166JcFxDNOFMXPlq1cd18KzFPPTVzwj0ZEteqTZf5QwyyFQY6jQGPwjQqEscnom2ICK2ou0UTOnJfhKkIUxc/aKaHlwsftjZ02Gxtuiinw4U0Fz5sbFQVF+piCjb1dVFGi+uuu7qE6SabHFfKOeU55mBea61EiC7qbmsjEVAk0taui3IRGE27Luzb2mgCE4uwtZu3XAxG02Fe+3nKd4NJGWeax7Zt2ZennYV5lVW6oSXt2Np2US4JTxjnwr6tjRBD2tbWrotyaZgQ78K+rQ0dLklrZsCzMIUgHUpENwSz8h5KRDN0pBiNVlqEqQhT2wdetFzz7d0YE83re78RSeORbyxRf41Imo+ieX3uNyNpjPGJJe6rEUnzUTy/r+NmJJGYL77oEqbHLDfM+wvK/Htco7oMotU2IfjiJ8lPApyGqKQyvuIagMQOfGFI8hOD0nSYVMZHXBOQWIQPDGk+uqGkjDNNK1dU/Kwjbubfeo7LvP/+3dCSdoryn8VuEp4wLkv5ovKEGNK2RfnNYjcNE+KzlC8qjw6XpDUz4FGYXhGMMUUX3nmjuqzj90WYijB18UBsvr0bY1z4sLXRiKTxyNami3KNSJqPXPiwsdGMpDHGxqarMo1Imo9c+WnVTjOSxpiPek/Nt8w1xPsLytYbHq6E6YMPNgIKjlqtp8v8iYAikS59tWorAqNpt1VbLvM3gYlFuPTViq0YjKbDVmy5ztsNJmWcqWt/Jnurb3OmuievuaYbWtKOyU6R6Ul4wrgi/ZpshxjStqbyRaanYUJ8kX5NtnW4JK2ZAY/C9P+COYkwLxHmIQr/wuPO1aciTEWYmh5sWdKbb+/GmCw2isrTiKTxqCifWew2Imk+ymKjiDzNSBpjivCZ1WYjkuajrHZc52tG0hhz12xL8Ft9ZvD+gvL3wX9jHmcc5p9+agQUHLnmoRV7iYAika3Ycp03AqNp17WvVuw1gYlFtGLLZd4YjKZDl75atdUNJmWcaav28uYfsfqeSpiOGdMNLWknr5885ZPwhHF57OYtG2JI2+a1n6d8GibE57Gbt6wOl6Q1M+BRmHau8DTVXISpCNO8Dz6UNwUXPmxt6LDZ2nRRTocLaS582NioKi7UxRRs6uuijAnXycts0fUyOs9e13s9r4/2W4B5oYVS4bmou62NVFBBgq1dF+V02FzYt7Whw4U0W7t5y1UVF+rVEBLGmeate6vlLxm0Nv803gTMEMqa0Kpdl/k1sEq7xlA/U3DJQau2dNhateUyvw4X0lz6asWWCVdZ6SJMTarRQ7oIUxGmrTxM0vKaHiJp5XzE67D58J/mQ4cLaWnlio6vKi7U2xSK5ibNvgnX1hse0SVMN970eG/ndcB+t/CPvSZk3mWXVHhp9fERnwoqSPCBIc2HDltaGR/xOlxI84EhyUdVcQFrQ0gYZ5pUnyLjnpxxHn5mhrkaYCUdFInBZDsJTxhnKltkeoghbVukb5PtNEyIN5UtMl2Hq0xsJlxlpYsw9SA8TS5EmIowdfFQND1EXPiwtaHDZmvTRTkdLqS58GFjo6q4UBdTsKmvizImXAvvdlWXMD1q+e28ndfVtg3Gsl15ZSo8F3W3tZEKKkiwteuinA6bC/u2NnS4kGZrN2+5quJCvRpCwjjTvHVvpXz/kbfyD70m5MsXWrMBVtJBK3Zd503CE8a59tWKvRBD2rYVW67zpmFCvGtfrdjT4SoTmwlXWekiTE2q0UO6CFMRpq085NLymh4iaeV8xOuw+fCf5kOHC2lp5YqOryou1NsUiuYmzX4WXB/3nopvnntZb+f1oFV2UWPZ3norFV5afXzEp4IKEnxgSPOhw5ZWxke8DhfSfGBI8lFVXMDaEBLGmSbVp6i4ITv+o+ueHLna7g2wkg6KwpDFbhKeMC5L+aLyhBjStkX5zWI3DRPis5QvKo8OV5nYTLjKShdh6kF4mlyIMBVh6uKBaHqIuPBha0OHzdami3I6XEhz4cPGRlVxoS6mYFNfF2Wy4Lq7awKkGb2d1xvnXYG/nGgy5v/7v1R4LupuayMVVJBga9dFOR02F/ZtbehwIc3Wbt5yVcWFejWF2DjTvHVvpfzwdQ/oEqZrbn1GE6x4RCt2XeeNY4keu/bVir0ojqT9Vmy5zpuEJ4xz7asVeyGGtG0rtlzmTcNTdrwIU5Nq9JAuwlSEqYuHjelh4sKHrQ0dNlubLsrpcCHNhQ8bG1XFhbqYgk19XZTJguuUpTfnv6gHz+1pAqS3p5ie75l1cS00F3W3taEFVuL1j/rogm19XZTT4UKaCx82NqqKC3VpCrFxpjb1tS1z1uCN+fee4/Ds+/6rCVY8wtaHi3JxLNFjF/ZtbURxJO3b2nVRLglPGOfCvq2NEEPa1tZu3nJpeMqOF2HqQXiaXIgwFWGa9wGD8qbgwoetDR02W5suyulwIc2FDxsbVcWFupiCTX1dlMmCa5tgTdGNNjuh8HO74O5Xd7XMnLDs1lpoLupua0MLrMTrH/XRBdv6uiinw4U0Fz5sbFQVF+rSFGLjTG3qa1vmgYGD+NWp+3edpyZcsQhbHy7KxaA0HLqwb2ujAUjCga1dF+US4HRHubBva6MbRMqOrd285VLglB4twtSkGj2kizAVYZr3AYPypuDCh60NHTZbmy7K6XAhzYUPGxtVxYW6mIJNfV2UyYJrkV2v7BKLR66wQ+HndtsNDuvyhVmAdcFF3W1t6HAhzdaui3I6bC7s29rQ4SqTs6riAs9NITbO1PZc2JT7fOIpGF3sE3HFgNrYd1UmBqXh0JUPGzsNQBIObGy6KpMApzvKlQ8bO90gUnZsbLookwKn9GgRph6Ep8mFCFMRpj4eMi582NrQPelsbboop8OFNBc+bGxUFRfqYgo29XVRJiuuTyfpwzfNs3zh5xZdBv/o0ZPn3PtGLTQXdbe1oQVW4vWP+uiCbX1dlNPhQpoLHzY2qooLdUkMkXGmNvW1KRP/MJWIKxJp48NVmQiMpl1XPmzsNIGJRdjYdFUmBqXh0JUPGzsNQBIObGy6KJMApRJRIkxNqtFDughTEaY+HjIufNja0D3tbG26KKfDhTQXPmxsVBUX6mIKNvV1USYrrntmXYzfmHKmws/t4zPPzy9ON2uXHx02F3W3taHDhTRbuy7K6bC5sG9rQ4erTM6qigs8J4bIOFPbc9Fqua02OrK7F0MqrgjYVu27zB+B0bTr0k+rtprAxCJatecyfwxKw6FLP63aagCScNCqPVf5E6BUIkqEqQfhaXIhwlSEqYsHjemJ4sKHrQ0dNlubLsrpcCHNhQ8bG1XFhbqYgk19XZTJiuu0pTbrmgBprr1vKOz8DtzvFv5pvAn40oXXEmG6f/PzPcv51p3PLOWLyqPDhbSi/JrsVhUXcCeGyDhTU91cpZ84ZKsuYTrvXtcZ78syz2UqZwGRrviwsZN4LiORNjZdlYnAaNp15cPGThOYWISNTRdlYjAqcyjC1KQaPaSLMG1+cTHdIS5uSlsbOmy2Nl2U0+FCmgsftjZ02Gxtuiinw1UmZ1XFBc5NwcV5sbGRFVc49nODzU8s7J5YfZszu16Ad197hPEF2Kaurspk5cyVv1bs6LC1Ysd1Xh0upLn2l9VeVXEBf2KIjDPNWse8+UbNsTS/P9m03ecoEVckMq+/POUjMJp289jNW7YJTCwir/085WNQGg7z2M1btgFIwkFe+7blE6BUIkqEqQfhaXIhwlSEqe2DJVrO9ESJ5vW9r8PmG0vUnw4X0qJ5fe5XFRc4MAWfPEV9ZcW1yK5XdInGI1YsbgKkg1fZpcvHUjtdJMJUWky9PEeyXv/Re8bXfiq2YJypLxzvTNGX75h9ye7zkYorSPCFK8mPDltSfl9xOlxI84UjyY8OW1J+X3E6XGVyZsJVVroIU5Nq9JAuwlSEqYsHpOkh4sKHrQ0dNlubLsrpcCHNhQ8bG1XFhbqYgk19XZRpBddnk/ThGwucAAmTK30x8eTcb+SormtIh81F3W1t6HAhzdaui3I6bC7s29rQ4SqTs6riAs+pIRhnutTwiwu/1rB2MRPxycts0e0rFVeQYHuNuCinw+bCvq0NHS6k2dp1UU6HzYV9Wxs6XGVyZsJVVroIUw/C0+RChKkIU9sHXrSc6SESzet7X4fNN5aoPx0upEXz+tyvKi5wYAo+eYr6agXXvbMsyq9POXNh5/fdyfvyXbMt0W1fhy1aB9/7OlxI840n6k+HLZrP974OV5mcVRUXzk9qCMaZ7rvGXoVfa+i6D2GKtYzDayYVV5AQ5itjq8NWBp7Qpw4X0sJ8ZWx12MrAE/rU4SqTMxOustJFmJpUo4d0EaYiTMMHWJ6t6SGSx3besjpseW3nKa/DhbQ8tvOUrSou1MkU8tQ7T9lWcJ2x5Kb8Z7CUSx6fSWUX3u2qrhfg45bbpvv60WFLsuErTocLab5wJPnRYUvK7ytOh6tMzqqKC+clNQTjTG+Yd8XCr7XDVtqp675cbJfLun2l4goSfF1TSX502JLy+4rT4UKaLxxJfnTYkvL7itPhKpMzE66y0kWYehCeJhciTEWYunhAmh4iLnzY2tBhs7XpopwOF9Jc+LCxUVVcqIsp2NTXRZlWcG039NCul9T1Nz/Z+TkObW+42QndtnXYXNTd1oYOF9Js7boop8Pmwr6tDR2uMjmrKi7wrA0bbMAfTjpN4dfadfOtxF9ONFl393ojLrn+E8+J9lwKZ7XizHQuy0oXYWpSjR7SRZiKMLV9SYqWMz1Eonl97+uw+cYS9afDhbRoXp/7VcUFDkzBJ09RX63gQqsJuvWhFSVqw8X+OUtsyL/3HIdn3+embts6bC582to9Eyl/AAAgAElEQVTQ4UKarV0X5XTYXNi3taHDVSZnVcUFnrXB0zjTl6edhR/uv1DDNa3FJdd/A1fh/SKcNb+vhtykbavKmQlXWekiTD0IT5MLEabNN7rphkh7APiI12Hz4T/Nhw4X0tLK+YjXYfPhP82HDleZnFUVF3g0hTSui45vCdfIUV2TExXRhfA/M83LL0w3W8P9psNWNC86+zpcSNOVLTpNh61o3zr7OlxlclZVXOBSGzyMM511xM38W89x+dzFN2y4prW45Ppv4Cq8J4Sz5vfVkJu0bVU5M+EqK12EqUk1ekgXYdp8o5tuiLQHgI94HTYf/tN86HAhLa2cj3gdNh/+03zocJXJWVVxgUdTSOO66PhWcd0/cBF+bap+Tu+Lgfvdwj+PNz5fMmjtBrs6bEXzorOvw4U0Xdmi03TYivats6/DVSZnVcUFLrXhr7/4qwkn5SI+EoXnMVxXeLe192u4prW45Ppv4CrkUjhrfl8NuUnbVpUzE66y0kWYehCeJhciTJtvdNMNkfYA8BGvw+bDf5oPHS6kpZXzEa/D5sN/mg8drjI5qyou8GgKaVwXHd8qrjOW3KRrAqQ59rnR2b2xxtZndHUR3r2FF+CiedHZb5UznS3XaTpsrn21Yk+HC2mt2HKZt6q4UEdTuH32JQsdZzpi9T277svltz+/4fyYcLk8P63a0mFr1ZbL/DpcSHPpq1VbOmyt2nKZX4erTM5MuMpKF2FqUo0e0kWYijB18RA0PURc+LC1ocNma9NFOR0upLnwYWOjqrhQF1Owqa+LMq3i2n7oIWoCpC3cTYB0yMrDu2wuOfyShmtHh81F3W1t6HAhzdaui3I6bC7s29rQ4SqTs6riAs+mcGgwY25R65miB8NP403A/Ufe2nBNm3DZXiMuyumwubBva0OHC2m2dl2U02FzYd/Whg5XmZyZcJWVLsLUg/A0uRBhKsLU9oEXLWd6iETz+t7XYfONJepPhwtp0bw+96uKCxyYgk+eor5axbX4zmoCJLwUR+3k2f/X3MvxZ5P0aZj5E/Z0IY+/vGV1uJCW136e8jpseezmLavDVSZnVcUFvk1h5WFnd33QKWo90ydnnIefmWGupuvZhCvvtZKnvA5bHrt5y+pwIS2v/Tzlddjy2M1bVoerTM5MuMpKF2FqUo0e0kWYijDN++BDeVNw4cPWhg6brU0X5XS4kObCh42NquJCXUzBpr4uyrSMa+SoruUjrp93JWfn+b3Jp+M7Zl+yyZ4Om4u629rQ4UKarV0X5XTYXNi3taHDVSZnVcUFnk0BLZlFjTOF7R96TciXL7Rm0/VswmV7jbgop8Pmwr6tDR0upNnadVFOh82FfVsbOlxlcmbCVVa6CFMPwtPkQoSpCFPbB160nOkhEs3re1+HzTeWqD8dLqRF8/rcryoucGAKPnmK+rLB9eCAQfzq1P2dnOdBu13Z1epzzHLDmuzpsEXr4HtfhwtpvvFE/emwRfP53tfhKpOzquLC+TEF5ClqnOmQHf/RdV+OXG33pus5Cy7f11foT4ctzFPGVocLaWVgCn3qsIV5ytjqcJXJmQlXWekiTE2q0UO6CFMRpi4elqaHiAsftjZ02Gxtuiinw4U0Fz5sbFQVF+piCjb1dVHGBteZg//Gf/To2bDmqC2WHdY/uOsFeOjmJzVdNzpstv5clNPhQpoLH7Y2dNhsbboop8NVJmdVxQXOTQF5ihpnuvO6B3Tdl2tufUbT9ZwFl4trxsaGDpuNPVdldLiQ5sqPjR0dNht7rsrocJXJmQlXWekiTD0IT5MLEaYiTF08AE0PERc+bG3osNnadFFOhwtpLnzY2KgqLtTFFGzq66KMDa4d1z+o66V13S1PzX2uz1t8g661Emff919NtnTYXNTd1oYOF9Js7boop8Pmwr6tDR2uMjmrKi7wbArIE44z3WeNvZ1ed2cN3ph/7zkOz7bvzU12s+CyvU7yltNhy2s7T3kdLqTlsZ23rA5bXtt5yutwlcmZCVdZ6SJMTarRQ7oIUxGmeR56YVnTQyTMV8ZWh60MPKFPHS6khfl8b6uKCzyYgm+uQn82uAbvfEmXMD145Z1zn2tMsPJ839kT7eiwhfjL2OpwIa0MTKFPHbYwTxlbHa4yOasqLpwjU0CecJypyzHfsPvAwPTu+llwlXGNmTgrC5MJF/isKraq4iqTM9P1X1a6CNNswvM9InqZiF4gotFBkT5EdC8RvRlspwjiexDRmUT0FhG9REQLm1yIMBVh6uKhaXqIuPBha0OHzdami3I6XEhz4cPGRlVxoS6mYFNfF2WscI0c1TXpyrXzrZzrXM8y4t/8y7jj88WD1km0o8Pmou62NnS4kGZr10U5HTYX9m1t6HCVyVlVcYFnUwjPBcaZfjDZtE6vu88nnoJvnHeFRJtZcYX4fG512HziiPvS4UJaPL/PYx02nzjivnS4yuTMhKusdBGmJtWo0iFMp4plPYmIDgjisD0x2F+DiO4kIgjUJYjoqVi5pkMRpiJM4w8ym2PTQ8TGpqsyOmyufNjY0eFCmo1NF2Wqigt1MwUX9bexYYvroQEL8yvTDMh1rtfa6vSultdd1xmZaEeHzaaursrocCHNlR8bOzpsNvZcldHhKpOzquIC76YQnhvX40wX2VVNSHbkCjskXstZcYX4fG512HziiPvS4UJaPL/PYx02nzjivnS4yuTMhKus9IzCdDUiej1oBAy1WFRf7UNErwYNhPcTUb9oYjvsJwlTENI3qBy2OEa4gIg2DfaxieaLRI/dFWEqwjT+ILM5Nj1EbGy6KqPD5sqHjR0dLqTZ2HRRpqq4UDdTcFF/Gxu2uMIxaEljQ7PiOGylnbqEKboGJ5XRYUvK7ytOhwtpvnAk+dFhS8rvK06Hq0zOqooL58UUwnPnepzpVhsd2XVfbrzp8YnXclZcIT6fWx02nzjivnS4kBbP7/NYh80njrgvHa4yOTPhKis9gzAdh4jeJqKBRNSLiF4kornHqqquveWJaKIgbmciui6WXvvDd4noOSJ6loh2DGrzXaRWaB0Nj28joqUjaVDqi0SOw13YQbfg0b169Srr/Gv9xm8un8daYPLwS3z4C2fNHzhM12xVOasqLvBpCibOi0q3xbXjemoCpHVyTID077mW5U8n6cP9Ro5q+d4sio8sdm05y2I7bx4dtry285TX4UJaHtt5ylYVF+pkCmG9XY8zPXHIVl3CdN69rks8L1lxhfh8bnXYfOKI+9LhQlo8v89jHTafOOK+dLjK5MyEq6z0DMJ0MBHdHYopIjow+ItENewuRESPN8S0wcEMQR2mCZT5kIgQDav3bbCTVZiG5UhaTJsFhemGiN/4Po912HziiPvS4UJaPL/PYx02nzjivnS4yuSsqrjAnynEOfZ1bItrqeEXd728HrzKLtb3CMbF3TbHUqnlddh88ZPkR4cLaUllfMXpsPnCkORHh6tMzqqKCxyaQpRnl+NMR82xNL+vGbPaCq4oRh/7Omw+/Kf50OFCWlo5H/E6bD78p/nQ4SqTMxOustKJ6Lew4S7Yhg2CoW7akIguCg+IaEsiOjtyHN9F2iHxyHY6PoKIRsS66EpX3v2bxWXaTZol3nRDZLFRVB4dtqJ8ZrGrw4W0LDaKyqPDVpTPLHZ1uMrkrKq4wKkpZOG9iDzWuEaO4m8m6M3XzL+K1T0SjmM7avntUsvrsBXBRVabOlxIy2qniHw6bEX4y2pTh6tMzqqKC7yaQpR7l+NM35miL98x+5Kp13EruKIYfezrsPnwn+ZDhwtpaeV8xOuw+fCf5kOHq0zOTLjKSs/QYtqKMN2CiJ4kovHbSYhOTES9gwph/wkiwqDbk2OTH2EyJIQ1Y5MfPR3Ep26kxbRZ1JpuiLQHgI94HTYf/tN86HAhLa2cj3gdNh/+03zocJXJWVVxgUdTSOO66Pg8uB7uvxC/PO0sVvdIuBbq+lucnFpeh61oXnT2dbiQpitbdJoOW9G+dfZ1uMrkrKq4wKUpRPl2Nc507r2u7+oJcfIyW6Rex63gimL0sa/D5sN/mg8dLqSllfMRr8Pmw3+aDx2uMjkz4SorPYMwzdqVdyUieo2I0Nu1rQIG12JgLf5eIaKDg9pNSUQYP4rlYu4jIiwfg4DxpucEA3OxxEzS+NIgq9qIMBVhmvZAayXe9BBpxZbrvDpsrn21Yk+HC2mt2HKZt6q4UEdTcMlDK7by4DpniQ35t57j8mz73tzyOT9vsaH86zj6sjpsrdTRdV4dLqS59teKPR22Vuy4zqvDVSZnVcUF/k0heo5cjTPdYPMTu4TpNhsennodt4IritHHvg6bD/9pPnS4kJZWzke8DpsP/2k+dLjK5MyEq6z0DMJ0XCJ6h4gGRCY/mqdBWBFhXCkmSJotFi+HWRgQYSrCNO2B1kq86SHSii3XeXXYXPtqxZ4OF9JaseUyb1VxoY6m4JKHVmzlwTV83QO6XmKx7EsrPpH36Rnm5menn0NbToetVX8u8+twIc2lr1Zt6bC1astlfh2uMjmrKi5wbwrx8+NinGk4U/Ziu1yWeh23iiuOs8hjHbYi/Zps63AhzVS+yHQdtiL9mmzrcJXJmQlXWekZhCmkFZbmfCMQn2GD4VFEtE6gu9Bg+DkRvRD83ZpFj0megAERpiJMTQ+2LOmmh0gWG0Xl0WErymcWuzpcSMtio4g8VcWFuppCEXxksZkH11I7XdQlTA9cddeWzvmsI27mX8cZjy9cZF1tOR22LHUrKo8OF9KK8pvFrg5blvJF5dHhKpOzquLCeTCF+LkKRSUmJounZT2+br6V+MuJJkudKdsGV1bfLvLpOHNh39aGDhfSbO26KKfD5sK+rQ0drjI5M+EqKz2jMBUNWSQDIkxFmNo+8KLlTA+RaF7f+zpsvrFE/elwIS2a1+d+VXGBA1PwyVPUVy5cI0fxtxNMwlcvsGpL5xxLzDAR77zuAdpyOmzROvje1+FCmm88UX86bNF8vvd1uMrkrKq4cH5MIX4OVxl2dtd9tc8ae1tfg/+dZiBj7HjcdvS4VVzRskXv67AV7VtnX4cLabqyRafpsBXtW2dfh6tMzky4ykoXYVqk4sxoW4SpCFPdQy1rmukhktVOEfl02Irwl9WmDhfSstpxna+quFBPU3DNRVZ7eXE90m9BfqnFCZCOWHGHrhfoxXdO7y5o4ixr/YrIl5ezIjCFNnXYwjxlbHW4kFYGJvg0hbJw2WDDONOvJ5yUr593JSs+0ZMBY8bPXXxDbfm6clanc+kTq+58+sQR96XDhbR4fl/HJlxlpYswzSgei8wmwlSEqYsHkekh4sKHrQ0dNlubLsrpcCHNhQ8bG1XFhbqYgk19XZTJiwsvsa1OgHTrnMvwx72nMl4nOmwu6m5rQ4cLabZ2XZTTYXNh39aGDleZnFUVF3g2haRzgWVesD5wUpopbvVtzuz6YLTb2vtpy9vgMvl2la7D5sqHjR0dLqTZ2HRVRofNlQ8bOzpcZXJmwlVWugjTIhVnRtsiTEWY2jzs4mVMD5F4fp/HOmw+ccR96XAhLZ7f13FVcaH+puCLo7ifvLh2WWf/rpfZNbc+I/N5/3DSqXnUHEsb8+uwxevh81iHC2k+scR96bDF8/o81uEqk7Oq4sK5MYWk85dnnOmI1ffsupeX3/587TVsgysJaxFxOmxF+MtqU4cLaVntFJFPh60If1lt6nCVyZkJV1npIkwziscis4kwFWGa9QGny2d6iOjKFp2mw1a0b519HS6k6coWmVZVXKizKRTJi852XlzL7Hhh18vsAavulum8L7rL5V35j1phe2N+HTZdnYpO0+FCWtH+dfZ12HTlik7T4fr/9s4EbJeiuvNH2VQ0LnFDMSIKiIBRwX2J4BIRARfcQXHBHTcWF3RExt24a9wQMTqJGAUU48SYuMVx35IYkziaUcc1Okk0GnGJ7zy/jyqp27ffqu76quuce+85z/N+3V9XV9W//1VdXafq1ClNzqziojxKMlZmm1lnetbBR65+ssulVpgEj6Udr9XginGXPuawLZ13Lv0cLsJycZcOy2FbOu9c+jlcmpyVcGmFu2K6pMY5MW1XTF0xzTVqU8NKjcjUdJa4L4dtifymppnDRdjUdFrfZxUXz1mS1lxMTW/TuE69YPXvu+2+etuN7jKp3B9596dtKKZHH/eS4v05bFOfb4n7crgIWyLPqWnmsE1NY4n7crg0ObOKizIoyVg5bWad6Sf3PGD1mWvuX6y/NbjGsC5xLYdtifymppnDRdjUdJa4L4dtifymppnDpclZCZdWuCumE5XHJW9zxdQV06kNXO6+UiOSi7t0WA7b0nnn0s/hIiwXd8kwq7h45pIsyUsu7Ra4PnbtG66+ePV9JpX76296j42tYnC0ksNV4qwUd8nwFpwthS+Hbak8p6Sbw0XYlDSWuMcqLp61JOv4qFlnikL7410vvTr7JkcUy6IW1zq8La/nsLXMZ25aOVyEzU2v5f05bC3zmZtWDpcmZyVcWuGumC6pcU5M2xVTV0znNnRj95cakbE4va7lsPXCMJZPDhdhY3F6XLOKi2cvSQ9+xvJogeu1N7vn6sKddl5NUTaZkZkyK1PibOxZel1rwdlSWHPYlspzSro5XIRNSWOJe6zi4llLso6PmnWmt3vEGzYsGU69y4nFsqjFtQ5vy+s5bC3zmZtWDhdhc9NreX8OW8t85qaVw6XJWQmXVrgrphOVxyVvc8XUFdO5Dd3Y/aVGZCxOr2s5bL0wjOWTw0XYWJwe16zi4tlL0oOfsTxa4HrsUadudGrvevwrsmW/z0nnbcyWMms6hmV4LYdteG/P/3O4COuJZZhXDtvw3p7/53BpcmYVF2VTknXlV7POlD2F2Vt4ihOzWlzr8La8nsPWMp+5aeVwETY3vZb357C1zGduWjlcmpyVcGmFu2K6pMY5MW1XTF0xndvQjd1fakTG4vS6lsPWC8NYPjlchI3F6XHNKi6evSQ9+BnLowWuqbMtdz/2DzY6v6wzHcMyvJbDNry35/85XIT1xDLMK4dteG/P/3O4NDmziouyKcm68qtZZ/qqW95n9YtL7rRi8GhduvF6La4Yf8ljDtuS+ZbSzuEirBR/yfActiXzLaWdw6XJWQmXVrgrphOVxyVvc8XUFdNSwzYlvNSITEljqXty2JbKc0q6OVyETUljiXus4uJZS7IEH1PSbILr1AtWP9pt99Vbb3R4tuzxxMusDJ55N4ttSvyl7mnC2VO2br9b4M1ha5F+bRo5XITVprvZeFZx8VwlyT373HWmH9z74NWXr7LXpHLYDK4c5hZhOWwt0q9NI4eLsNp0W8TLYWuRfm0aOVyanJVwaYW7YrqkxjkxbVdMt+7YlF6I2gaiRbwcthbp16aRw0VYbbot4uWwtUi/No0cLk3OrOKC55LUlsVm47XC9fHfOWj1hT3yDpDYu5Q9TKdizmGbmsYS9+VwEbZEnlPTzGGbmsYS9+VwaXJmFRdlUJJcOc1dZ/r93a+4eueBh02qu5vBlcPcIiyHrUX6tWnkcBFWm26LeDlsLdKvTSOHS5OzEi6tcFdMJyqPS97miqkrprUNXhqv1Iik9/Y+z2HrjSXNL4eLsPTenudWccFBSXrylObVClf0tnvdk89fW/7fvtyVV++5/m3Xhqe4SpwN7+35fyvOlsCcw7ZEflPTzOEibGo6re+ziovnLEmOiznrTA957Fs3LBmefdgJk8phM7hymFuE5bC1SL82jRwuwmrTbREvh61F+rVp5HBpclbCpRXuiumSGufEtF0xdcW0tsFL45UakfTe3uc5bL2xpPnlcBGW3tvz3CouOChJT57SvFrhOvHIUzY6t4cf/8rR8r/5o8/eCD/9DtM6vyXO0mfofd6KsyVw57Atkd/UNHO4CJuaTuv7rOLiOUuS42LOOtMHH3P6xrt5n/s/f1I5bAZXDnOLsBy2FunXppHDRVhtui3i5bC1SL82jRwuTc5KuLTCXTGdqDwueZsrpq6Y1jZ4abxSI5Le2/s8h603ljS/HC7C0nt7nlvFBQcl6clTmlcrXLc/4fUbnduTD3/8aPlHr59HHfeS0fAUUzzPYYv3aBxzuAjTwBTzzGGL92gcc7g0ObOKizIqSakcp64zfeHtHrTx7h74xHMm1d3N4irh3kx4Dttm0t1s3Bwuwjab/mbi57BtJt3Nxs3h0uSshEsr3BXTJTXOiWm7YuqK6WYbPuKXpEUetWnksNWm2SJeDhdhLfKoScMqLp6lJDXP2yJOK1zM0Px410uv3nLjI0bL/42HHL362c67TtrrND5XDlu8R+OYw0WYBqaYZw5bvEfjmMOlyZlVXJRRSUrlOHWdKWu/v3H5q02ut5vFVcK9mfActs2ku9m4OVyEbTb9zcTPYdtMupuNm8OlyVkJl1a4K6YTlcclb3PF1BXTzTZ8xC9Jizxq08hhq02zRbwcLsJa5FGThlVcPEtJap63RZyWuD5xrQNXn99jv9Hy/9w19lt9+po3GA1b9xw5bOvi9Liew0VYDwzr8shhWxenx/UcLk3OrOKiTEpSKrep60z/+Yp7rJhdLaUXwzeLK6azxDGHbYn8pqaZw0XY1HSWuC+HbYn8pqaZw6XJWQmXVrgrpktqnBPTdsXUFdOpDVzuvlIjkou7dFgO29J559LP4SIsF3fJMKu4eOaSLMlLLu2WuN5w07tvzIrufcq7t6gD7I144U47r157s3tucT2Hq8RZKe6S4S05a40zh611XnPSy+EibE5aLe+1iotnLEmJhynrTA944js2zHhffNtjJ5fBZnGVcG8mPIdtM+luNm4OF2GbTX8z8XPYNpPuZuPmcGlyVsKlFe6K6UTlccnbXDF1xXSzDR/xS9Iij9o0cthq02wRL4eLsBZ51KRhFRfPUpKa520RpyWuE488eaOT+/sPedUWdeAex7544/oj7vH0La6X8OewleIuGZ7DRdiSeZfSzmErxV0yPIdLkzOruCiLkkwpr9I603s98IUb7+bxxzxrcr1tgWsK9pp7cthq0msVJ4eLsFb51KSTw1aTXqs4OVyanJVwaYW7YrqkxjkxbVdMXTFt0QCWGpEWedSmkcNWm2aLeDlchLXIoyYNq7h4lpLUPG+LOC1xHfrw1210ck8+/Alb1IEzDn3YxnW2pZiDOYdtTjqt783hIqx1fnPSy2Gbk07re3O4NDmzigv+SzKljErrTGP4zR5z9uR62wLXFOw19+Sw1aTXKk4OF2Gt8qlJJ4etJr1WcXK4NDkr4dIKd8V0ovK45G2umLpi2qIBLDUiLfKoTSOHrTbNFvFyuAhrkUdNGlZx8SwlqXneFnFa4sJ08D92vfTq7Jts6QDpz/a91eqbM5yrxOfKYYv3aBxzuAjTwBTzzGGL92gcc7g0ObOKizIqyZRyLK0zPeegO65+cJnLr6596gWT620LXFOw19yTw1aTXqs4OVyEtcqnJp0ctpr0WsXJ4dLkrIRLK9wV0yU1zolpu2LqimmLBrDUiLTIozaNHLbaNFvEy+EirEUeNWlYxcWzlKTmeVvEaY3rk3sesMLR0W+wnXrB6ruXvdLq/P1/7+JrT9m67frN/UlYDtvY/b2u5XAR1gvHWD45bGP397qWw6XJmVVclEtJppRdaZ3pl6669+oje914Vp1tgWsK9pp7cthq0msVJ4eLsFb51KSTw1aTXqs4OVyanJVwaYW7YjpReVzyNldMt+7clV6IVg1GTTo5bDXptYqTw0VYq3xq0slhq0mvVZwcLk3OrOKC95K0Kpu56bTGdeYhR6/+c+fdVtEB0i0ffdaGGS8mgy2xzU2r5f2tOeuFrWU+c9OyyplVXPBbkqllsG6d6fVOPm/180vuvPrDmx8z691shWsq/jn35bDNSaf1vTlchLXOb056OWxz0ml9bw6XJmclXFrhrpguqXFOTNsVU1dMWzSEpUakRR61aeSw1abZIl4OF2Et8qhJwyounqUkNc/bIk5rXE+420kbiuidHvrqjXrw2KNO3fj/bg962ex6kcPW4tlr08jhIqw23RbxcthapF+bRg6XJmdWccFzSaaWRVxHeutHvWmLunn48a/ceDd5R6em1RLXnDyn3pvjbGoaS9yXw0XYEnlOTTOHbWoaS9yXw6XJWQmXVrgrphOVxyVvc8XUFdMWjWGpEWmRR20aOWy1abaIl8NFWIs8atKwiotnKUnN87aI0xrXYQ977UZn98l3fdJGPXjTwUdtzKBe9+TzZ9eLHLYWz16bRg4XYbXptoiXw9Yi/do0crg0ObOKC55LMrUs1q0zxUnZSmSF07KpabXENSfPqffmOJuaxhL35XARtkSeU9PMYZuaxhL35XBpclbCpRXuiumSGufEtF0xdcW0RWNYakRa5FGbRg5bbZot4uVwEdYij5o0rOLiWUpS87wt4rTGdZ1T3r36yS6XWp118JEb9eALe+y7Yt1pDdYctpr0WsXJ4SKsVT416eSw1aTXKk4OlyZnVnHBe0mmls26daa8o7yrhE9NqyWuOXlOvTfH2dQ0lrgvh4uwJfKcmmYO29Q0lrgvh0uTsxIurXBXTCcqj0ve5oqpK6YtGsNSI9Iij9o0cthq02wRL4eLsBZ51KRhFRfPUpKa520RZwlcn9rzBqvPXHP/1b4nnbuxhu21N79XVZ3IYWvx7LVp5HARVptui3g5bC3Sr00jh0uTM6u44Lkkc8pibJ1pfE/npNMa19y8S/fnOCvFXTI8h4uwJfMupZ3DVoq7ZHgOlyZnJVxa4a6YLqlxTkzbFVNXTFs0iqVGpEUetWnksNWm2SJeDhdhLfKoScMqLp6lJDXP2yLOErgw3/3pLrut7v2AF2yYCp5wj9Oq6kQOW4tnr00jh4uw2nRbxMtha5F+bRo5XJqcWcUFzyWZUxbDdabMkv54ZGunKWm2xDUlvzn35LDNSaf1vTlchLXOb056OYPXB8sAACAASURBVGxz0ml9bw6XJmclXFrhrphOVB6XvM0VU1dMWzSEpUakRR61aeSw1abZIl4OF2Et8qhJwyounqUkNc/bIs4SuJ54xJM3FFL2SGQN28GPe2tVnchha/HstWnkcBFWm26LeDlsLdKvTSOHS5Mzq7jguSRzymK4zvR2j3jDxrt56l1OnF1fW+Ka8wxT7s1hmxJ/qXtyuAhbKt8p6eawTYm/1D05XJqclXBphbtiuqTGOTFtV0xdMW3RIJYakRZ51KaRw1abZot4OVyEtcijJg2ruHiWktQ8b4s4S+C640Nfs9HpvXCnXVZfv8LVq+tDDluLZ69NI4eLsNp0W8TLYWuRfm0aOVyanFnFBc8lmVMWw3Wmjz76qRvv6BEPfvns+toS15xnmHJvDtuU+Evdk8NF2FL5Tkk3h21K/KXuyeHS5KyESyvcFdOJyuOSt7li6oppiwax1Ii0yKM2jRy22jRbxMvhIqxFHjVpWMXFs5Sk5nlbxFkCFw6QMOVltvTcG9y+uj7ksLV49to0crgIq023Rbwcthbp16aRw6XJmVVc8FySuWWRrjN99S3uvfrFJXda7XPSebPra2tcc58jd38OWy7e0mE5XIQtnX8u/Ry2XLylw3K4NDkr4dIKd8V0SY1zYtqumLpi2qJhLDUiLfKoTSOHrTbNFvFyuAhrkUdNGlZx8SwlqXneFnGWwoXzIxTTZ9zpUdX1IYetxbPXppHDRVhtui3i5bC1SL82jRwuTc6s4oLnkswti3Sd6Qf3Pnj15avsVVVXW+Oa+xy5+3PYcvGWDsvhImzp/HPp57Dl4i0dlsOlyVkJl1a4K6YTlcclb3PF1BXTFg1jqRFpkUdtGjlstWm2iJfDRViLPGrSsIqLZylJzfO2iLMULraiQDG9a4WpYHyuHLZ4j8Yxh4swDUwxzxy2eI/GMYdLkzOruCijkswtx3Sd6fd3v+LqnQceVlVXW+Oa+xy5+3PYcvGWDsvhImzp/HPp57Dl4i0dlsOlyVkJl1a4K6ZLapwT03bF1BXTFg1jqRFpkUdtGjlstWm2iJfDRViLPGrSsIqLZylJzfO2iLMUriMf9NKNju/ep7y7uj7ksLV49to0crgIq023Rbwcthbp16aRw6XJmVVc8FySuWUR15l+6DoHbwwaPfuwE6rqamtcc58jd38OWy7e0mE5XIQtnX8u/Ry2XLylw3K4NDkr4dIKd8V0ovK45G2umLpi2qJhLDUiLfKoTSOHrTbNFvFyuAhrkUdNGlZx8SwlqXneFnGs4ipx1uLZa9Nwzrb+9pS4tMqZVVyl+g/uEudj4awzxZKB333u//yqNLZVzsb46HXNOdtx2oxSWS8V7orpchrnXUTkn0TkqyLy1Fw2rphu/aKXKnyvRngsnxy2sft7XcvhIqwXjrF8ctjG7u91LYdLkzOruCiXkvQqu2E+VnGVOBs+R8//nbOtvz0l/q1yZhVXqf6Du8T5WHhcZ4pieuATz6lKY1vlbIyPXtecsx2nzSiV9VLhExXTko61m4icE3SwT4nIXjk9bEcI20lEviYie4vIriLyNyJyg3UP7orp1i96qcL3aoTH8slhG7u/17UcLsJ64RjLJ4dt7P5e13K4NDmziotyKUmvshvmYxVXibPhc/T83znb+ttT4t8qZ1Zxleo/uEucj4XHdabfuPzVquIvhWsMa821XHnWpNcqTg5XbVn2wNYqj5p0rHJWwqUVPkExnaJjPUZEXhf0rvsFJXWdGrZDXL+liLw/edKniQi/UXHFdOvOQemFqGkcWsXJYWuVR006OVyE1aTZKk4OW6s8atLJ4dLkzCouOC5JTTm0iGMVV4mzFs9em4ZztvW3p8SlVc6s4irVf3CXOB8LZ53pDy5z+dUF+92mKv5SuMaw1lzLlWdNeq3i5HDVlmUPbK3yqEnHKmclXFrhExTTKToWOhj3ITuLyA9F5BLh/x3ycIyInJk8+XEi8urkf04fISKfDb9fh4L46XZ2/LnR57GKi/K3is0qLudMZG674WXpnM2tMzX3ez3bfuqZl+X2U5b+zZxfls5ZHWc13w3ioBNF/Ygj+lIqU3SsL4nInkkkrFivnPy/w51OIW1HIIUKZVGs4oIrq9is4nLO5r9hXpbO2XwG5sfwerb9cOZluf2UJU9itTyt4nLO5tf/JWNM0bFcMR2UwJRp5kGU7fJfq42MVVxUAqvYrOJyzuY3HV6Wztl8BubH8Hq2/XDmZbn9lCVPYrU8reJyzubX/yVjTNGx3JR3UALYM/+ziFwncX50wOCeHeFfq42MVVzUCavYrOJyzua3JF6Wztl8BubH8Hq2/XDmZbn9lCVPYrU8reJyzubX/yVjTNGxHjtwfvSOJQFtK2nfVUS+ErzznratgG6Mc2gX3jj56uSs4uKBrGKziss5m/8aeFk6Z/MZmB/D69n2w5mX5fZTljyJ1fK0iss5m1//l44xpmOdISJHhYwvJSJ/GraL+XTYJWVpTJ6+M+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM2CKgauaQuNgnAFnwBlwBpwBZ8AZcAacgR2cgcsqPz+upaOA5RARuVK8YOwYPYoZg2WWLys8UZ/S32+LyNdF5IqG69qdrJAXcPyWiBwcOLMAbZcREFceueaXtmaArdLuKSLX3zpI/Yq1tv8qInJjEbmhiGh/KykcvpePFJE/F5G/Db//KSKPEpGxd6JngV5dRF4rIq8REdrY00Xk70SErSD26AlkkBffbbyAWparichNwo9zC3IJEbl5aCtoLzjnmgWx9l6u48Rqn3EdXr/uDJhg4JuKKI4Xkf8Xtu45POwv+1ci8n9F5P6KuMiahjj93UtEvpdc04J3axH5BxH5+/Ch+EDY9gjO2NhYSx6aZLyniFCO/y4iHxeRfZMwjdNfi8j/Gfx+Gf5nT2OLovlewsfbRCQqer8vIuD5SxH5hojcW5GwQ0XkWyLyQxH5CxHZK8Hy+eRc49TqO3B+QsbRod6/WUT+SURog7XkGUnGNwjfAd5TBo3oBGsKeKjvXxWRX4jIpwJvZ4vI5RWB/UlQ/m4hIrSz/DhHITxHERdZoyyfKCJPDQrzU0TkWuHauxWx/Sy0F28VEbax2EkRyzDrG4nIJ8M3nfrG7x/DNRRVLblzqPsMepwZfpQv7wNhWmL1vYSPtL/IuZU+o1ZZeb7OQJaBJ4vI2O8kEfnXbMxlAxlNpfPLCP6PReS6ITtGDBkN1hQUl/eKyFkiQieO33+EI9e0hD2fDgpKKJ3z2wQgfMT+lxYoEUmVAkbI2fPskiJyj6CkKkIT6jkfVXiLQgdYW94jImO/C0Tkp8rgeDejMLgQFUDe17+JAQrHz4jIASHfY0Tkf4eOOZe+oIAnzdLqO5DyQlnS3iLaZZny9WciwuAkcrMwoBX+VTmgLOwXcgbPW8L5CSLyThVEF2XK/uvrJBe2Lk7L62k9Gw6sfbFlRjPTAhfWMZQdA6bfF5HXicjvzUxnidvhZWwQhsEGzXaWwe/Y5qfPTdtBmJZYfS/hw2qfUausPF9nIMvAhSLy30XkWSM/ZrW0JP1YfWcAQlsxvWn4iD06wWVBmUk//sMPRNrRS2B3OU3zTsuVzFPMXcCMZMLMAhs6v1RELhdm50du63rp30TkiNBBopMUf7cPnaeuYAaZMSOP+S7ysTDIEP7dmK2P572Pw84aSiozf3cfDI70xkV+Vt+BFBcDW6lovpspriGO4f8p5h7nw3qWYh22uz3wxDzomGOxwKBfFM7vG2Z14zWNY8rZcwYANL/nadkBC5Pjx4vIJ4J11gBq138ZWFsnzE5qCbjSZVYRx65h1jT+3/uY1jHyTstW870Ei9U+Y+8y8vycgUkMMErO+rAxwQRUS5gter6IvFpEPigiLxERTFVRoN+vBSrJlw/+E0TkQ2EU34LZZ9ow0xlP5UvpP53P/0VEXikirxKRbw/WO2niGtLAmg86d5hlawtmUpimjslHxy52vHYfEfmciGCe+kIReZeIPFhEMGXkPdWSz4aOZZo/gw4MhmDRoClW34H/ChYp8INZalzvRydTU2FgUJRvABYCPxCRyySFp91mnCsizwzfI+p7tJJhHScDIVrCLBYmu/DFDCk/zrkWZ8K1sJ2xZh3u9ZRnmXODHNfWIivkyzcTawEGFm4VfpxzjX6RljwtDChjjv2A8OMcLgnTEqvvZeTDYp8xYvOjM2CKAUySWCw+JpoL7ZmRoZFjTQqOJTDNw3z2D5PO0xjm3teuGRw4WFBMUazSDlzkAjPoU+M/CkeUlvSH6RTC6PTzwrmVw6VF5EArYAzj2CcopecF5YF1bKw31ZQ7isjvjgC4goicNnK956W0/nNu+R2AFzjTXJceLQTiMToX4pv02J4FN5IX3LwofI+eG6wsuI31pZhZWhAcDPFzyTOABYplwYQd02IGaPhxzlpYbdk/9M0YbOZHP401npqyLbyX8GOpz6hZXp63M+AMOAPOwEwGHjLz/iVvt+b5dslnbZm2ppOQls/haTkDNQz8UU2kheIwcMUAVlw7z/ldFsrLk3UGnAFnwBnYRhlgCxbMUfG0iZc8PLn+SERwJIIrfC1h9PkFwQsdTpjw0Ms6Aa4xMqYpmGRgxohJDeazrGV4u4hoj77myhIPfxblv1kEFTANnXT0hGrV8y0cMCvPDPwpYasFZgDpbDKLFGe2enIV84pbKsQjSxTw0ks7pq2gxq08MNHGRJafha08aFvxrHkHQ9s9UJ54R2XrE/wfsIQjldRjb3q91zmWHljuWNv6JCp88cgM208SRbAXP2P5vFxE3ici9wtO+XDMxznXXjEWodM1q/Wfx8c09YHKbercYqBN05LHJd7isRJjyQtLAvCanTo31MBnuT3T4MPzdAayDODwAnMRtmBhTSkmswgdFRwAaAnrSFm3QCcgCueYjLAVhKbghZd92Pi48sFl/Qx7S+LOHZf4WmK1LHN8aCp/4IpKwvCI59mf54AvHGbV8y2PjWdl1tbROceTJeudbisiLxYRtl3QErb+Yc08A23xx3YQnLNOXVOsbuXBmkg6dHjtZv03SoIFc1SU5T8WkSeG9cw4JouSOjWJ13oerW59Ai8MaDFAigk0x+8mjtN6cjTMa51XYPa+zDn5GabT+n+r9Z/n5H3EyzPKM20uXuxZ+60tceBveGQgkPqmJTjli8KkAXwhvAeauxKAwXJ7dhFL/tcZMMRAuvh/qCSkYb0h55xI5MJ64ESJSQWHOchuyu7S0/KyVJZs9zP2w+HKrwJ3Wge2B2A2GUcX6Q9HIkNv0D0xWvV8CwfRszKdShxFxY3VOQ7fjZ6csTfcR5KtRcjbgrdscKzrmJfCluYvVfJ+J8yEc40185rrv9N6xGzzG8IMEm1s2s4tzc9Y+mn+w3Y2vhtj8Za+hiXPk4LVU7SQseD7gOemPPFMOhS220kH4YbhS/9vtf7z3LGesYzjuDC7jDMrBsY19wvFYRoDfXHwLz0yEKglab8Qi79U0vYkvd7rPM3fWnvWiwPPxxmYzACzojRyuJn/RthagciMuOLlUkuYFcVcMHXAxDmzqMxMagoeSeO+qowapl5Sv6wIzGpZ0nlLyzGlSNPzMzjelOz3muLinBkbLbHq+RY+0s539EgaeUo9Q8drPY+YEr8sbP+DomWlY251K4/Y+R2W0fWDB/Th9V7//+NIRpj9M/OhOcMGrLSOW9r6JFIWt7/CkmGoOMd7eh/5TmJSyfeRbzs/lubwXqzbFaAHRqv1n2dPlebIBQ6tHqVsAYJXbJzfjYnm9xxHZHiG31tEnh6sLRhsxlcEjjM1xXJ7psmL5+0MjDKAF0vMZlkbQGcEUy7s8pmxwUW5luC1kq0oeKExZWFfRz5kXLuSFqiQ72Hhg08HiRmZuAk23o1ZZ6clubIcrtPqiZHOGyPjY0J5uowzwFYK8GPJ8y1IMUsaW0vKYA37mloQ1pUyks82LRZkuJUHbYeFrTxSE1kLPEUMmKSOOcZ5eNisPt6ncbS69cmQi7spz3oP8fA/y3FQRPmly3TG7u1xzWr959nTAe8eXEzNg+Ve7OYwJsNt6sbuWfLa8WEA5IdhizAGQrD8wGeJplhuzzR58bydAWegIQOYLV65YXqelB4DmMDxQ1jDw+i+9uBHgLPNHaJZrwXgYMEMzpr4Vh7WSmT7xWO1HWNgi3ZW25Hh9lvy/mTOgDPgDGwnDODQ58nBmY/mIzELGTuV7C357LCPFzNI2qNf7BfKWidrYpmz2yWjrMzeniwiRxggkBFe1pnitOHoMNqKQx+8uR5pAN8YBAuejHk3ozl7ivGG6T+dz5n90LQMKD0uVgNxnR17/tHO4nhOUyxzZrGOxbKyuPVJ6q2Y+sW6ZkzZv55Y9UT8vY84SotCHwMTYywaMP3U3pfz0ODA7d1hHTOe/7FWsSbXEZF7Bss2TWwM+LHUhOVfnOMo85Ui8phkgFcLH1Z/LPcCDz/O2XPVsuA408UZcAYSBvDkGuWEsH7sWWEtDx5wtQRTYhaJIzi+wPstHzSw4UZdU1jgj6kIHkj5qOIK3IJY5Yyyw1sqdY3tHzh/ZlgrjCdXTWGNESZlfPRx0BRNlFibornGOseJ9roxOiU4hmKtKXUuKltgHlsXlXuWlmGYxlJmrJXHpF5zu6vhc9FusZ4OfM8Pa8R4BzDXO214c8f/rXJmtY5RNFa3PknfPbySxkEPBkRoczUlxYZCymwpwnpAzXaWdxFnQscGD7h8j+gH8V1A8dKU85PMGTRl2RBYcfKDyaqWMMiAt2C2JcJE9U+Dcya2zNPc+gcllG8S/VbKkx/n8ZoWX6V8tb/nJXwe7gx0ZyBd/I8nM9ZJIrsre8tjPWmU9KPGtdT5Sryn5xHOWAPLB4zZNWbcXhccRvXEMczLKmcoL4yssv8la4U5IruICI4UNCWt/0Msw3rXE+eYF2OuWfBkzPu3RyCDTi/rwKNr/pTPnnyRV8x73zDwQb0DG0oh1zQFz6MMYFH3KcfUGiT12Ngbo1XOrNYxymedh2XaOE3HTGl7Fcs11qfh//F6r2OKDeeBqaRh6fUe56lHYAbC47YifN+H34MeeNI80jJjYIHBU4QlRKkDrnC52yFyxveb/eXjFjbwp9mW8V6CaSjg03wvwRP3Fh4e2Wv4p0PA/r8zsKMzQANHI8y6p+HIZdow9uaJUTi8qSGMEh4SzulgDl2Bh6Buh+GHlBm3x4d9XzW90lnlLH7gLxUUU0yzETrqml6MwUAdj+tLUwdNYIu4L0Lb9y+jqFY9GceOSWQEJZXOJu/A8N2I9/Q4juWNaTGzIl/tASCTR9qWpudE0Rxos8qZ1TpGedH5Tq0EYrHTfgxxx7AeR5wW0vGls8tMeBwAJG/Ntoz8/zPwBj8MrtHnQGh7NbHR/4nrcPHiHbd+AxsDW5qSvpupZRuYhm1IT5xp3uzpm4pmW8YgJJZOQ+FaupXMMLzH/wzIs3SJ3S7SH3usMrHh4gw4AwkDrD9hHQpmIhzjTAjOCTQbGdaR4vr7a2Hd3y8DPvYpxPuspqQN8xDHWMM4vGep/61yxrrgvw4DCphK0XHCfJEtA5hp1hQ6mCjMQ8GLKqZAWmLZkzGj98P1pZcL1gM/1yJMubNWemy2yoiKQhwIIQ7vbNoBLaXTOjzXlrXOa056Y3WMWWYsVDTrGM9gdeuTtMPLOe8kwgDXY8O51oHvYvqLs2zM/rFuUkvuG0z/PxDWvUa/B1iOaW4XBh/sFxqtZH6R9M3gTnNmkh0cxryyM0A/VKB7litevBmABB/Lv/ihOHNtzMN3T2xgYi3zmFj1vjyG1a85A6oM0ImKpiOaQOiMoIjiXn7dDFJvfIxyWRaLnN1SRG4RSEOpwfkR68jSTrplTh3bxQzwPo7tY4cZ1QMvvq372VhnqTuINRmuc5ZGx/ygNXF6XLbKmdU6lpYJHXFLW5+k2CyfM0MZZykt4AQLFlnbiodgcPI9tSYs/7qqMij6E/Qz7hV+nFvxAaJMjWfvDDgDrRhg5BInJpjkWetEoSgzes7PitI85B1PeS7rGcCLH6OZOAtBYWaWHpM4Rn6tefNjPzZLYq3+M5PAOr8ojFCflDiBidctHPH6SecJ76nWxEo9i87v4Ie2H+XBkkIDHtZW46WddkRbmH3Ho2zc+5v1f/gd4Jq20oWZLM5xMDFmvR+zWOwxzDWsU7RE04t4zTNbqv9j+C28B2O4LPQdrbdnY7z5NWdAhQEaZtZVsDYS04e49gMwmmYZdNj+MnzAMGPBFA5zYxQHPsCacqPAGR99MPKjMwCP0dugBj62nxj+8B4cr2lgKuWpuSYLbJjRsC3M/YNJ1/2CcsM1zAa1JLq7j8dXBYU5/q+Fi3xz9V/TE25cLw/GU4InUrbQwEyPdaaagifSuO/xccGBzplhTeKJisBifYpHK/UMr6MoVjg0wbssy0x4H/lO8a5qCmay+GOg3Wft2HuD05wPi8i1FIG9P2yPwUxuFM7xVsqyCU35hIhgNpvOXnFOe5uu6+yNEXNZFGW8xVsbJGLrK/oYrHVlKzjaMZY28Q5YnDGl7Kx6mNXGZbk96/3OeX7OQJGBjwX7e0ZUMa+kEYzrxzTXH/Gxilt34FTiLeFJ8ISLq3JNYe0tH4qhYDai6S0PpxLniAj7XOKJlB8dp3g+xNvrf9YQjf2YMWIEXVPSOj50kKO59o/OB674HyQiDw4/uIrnmpxZrf+pExUUh+hkS9tbJGWVYsN5G87mEJZMaK4Xs1rPGLBCkY/bOMVvErP0mnxRZrQZ0Xs9+M67qCiF/Qg1FcCcg5dcWIC/6CHnFTUXtiioUJYHishzwyA432+2GNGcxY3PzMQAZv4ooQwws10ewuB39B4cLnU9xEGs4ZFBLdbEakkcgB8esZr5Vy1QIV/L7ZkyNZ69M7A1A0NFCvM3PhQoWZod8yGuFEu6LcrWT7T8ldyHdKjcLI/m4hwwl8IzL86GoqMVZhq0BcdVzHTjXXn4Q5nWlLSTOzR7TpWJ3hhxXMJ+iTjguEbI3EJZAsVq/cdhDp1MBKcX0foD51aaZQkelJlrXgRNmD2NDreYNdL0/mm1nqWO99gzN5X0nU2v9zpP86f80m+TZlmiFJ86WFaCIs+MKbO7moLJLvtfMqBLe8aPc669QxFYWnbAYBD8pSLyLQN7v6aDpsM+zxB3Twr5Zj8iGSSNg6UcUaC15MIw8x0H4tMjy3M0xXJ7psmL5+0MjDKAAjg0jcW8l84nplRacm7YixBzlpeIyFkBCA5WtEd/GSlkTSKmSbcKP8659motwpJ82YybEdVjgglcEqRyylYiUWEYAmDGRlMeuWbtMmsAUQy1BecqKDJYM+BB24JYrf+0W7RnfxR+mL0xEMLs6QOUicNhGkrLGaGNQImm44R5HmWrLdbqGdueYH5Ne/rB8A3gWwBnmKxqCt+iNwVHX1iooMggDAaypENLGIhhUDKuMWWWCIWGa9prE1n//egwYMTsET8GjxgMXOcYrAePqfKX5sdadUy2NSUdnL/7AIjmQBvvI/2eMWG5lZbQptKOjYl2P8NyezbGl19zBlQZoMPG7OhQmH174/Bix/8xLX5RWL+DmU10fY8SPYa3I7SNrO4atjph6xN+bHvCNSuChzy2ZrHgivy2IkJ9GpO4P+1YmF+7iAE6SWz3gGmvFWHdH3XeWv1nBgtsTwiOjxgw0nb8EsuMtovO+ctEBLM3ZrIsOQuxVM/wLP60YFaJ4xLM/lnL+Zpk24zIa+8jg6MoVCjNLC2hziGYjmtuFxZg+GEGA9oDVjmoONWKlk/pfZi1MzOuJQxyjOHSwhPzZelXXMcfr8WjtnPKYXvGpAHtGRYDcYvGiNWPzoAz4Aw4AzswA8x2MBPj4gzs6Aww40YHyqpob0VhlZccLma3LAiKDMoUTskwY8fsk1kkBp8teExNOYrrv9Nrfu4MOAPOgDPQiQFmrDAVZDYGj4KYlv1IRHDQgfdNLWF2ATf3mCJhkmTJ9T2eDl8bRu/5iJ0eHHKwVkZz9ItOJeZvbx0xXWRkTkuGnRI81FnplOBQCFPPb4ROkqZX2bR8qPN4bb3DYAuU9B6tc2aIMIHGk+XQpAsvuBaFLYE0xSpnrPXD9Jk2Hw+leK/kR5vGzKCWMCsz/GHKjvKsbZaKIoVJNuaU8EYbgrM+2jVNYe1r+sNc9ufJNU1sfBtZksN3CO/KzDZjSYNVD98rLaGPEWfZ6Auxjh8/EXwPtE15x/oZlKl2P+MuSWHRT8OsnXqHPwTtmckE2han7DihKY9L6hnLhLBkwzElu01o7mOtyYnn7QysZQDPb5i+4YIfO3xMDBA6xLh41xLLru9ZG8MWD3jvo0HGJA+lnmvv1iJMRN4VlHnWo6D48X9cv6PpLMFqp4SiimuM9g1rmlkHyBot1rJxTUtYR83HjLXC3xaRVxgxYYcPFGY6IU8UEdYPxzV2hGnWs7in8PDIuqPvahVkyNcqZ8yosf4VwXM2ZsYsA3hO2D4sBHU//DpsD8aatfjDiRrn2k7AaONRQvcMW3E9U0T2CZ7jNfeApc1ngBnzcEyK8SzLN51zbRPj6PwFc/HvJYNt/M83VEtQ9KIwQH/T8A9tPwOWmmK1n5G28bRrtBXUryeJyPmKhA0HsuL/TB7gzEpTUqdo+CJh/2OEtlfTw3KA4QdnwBYDsWMOquFeT2lYb9Q5B0e5sB44U16GnMUPcA8cwzyGeZ8WGj0a5vRjMoy39P8Rl7VOCc89xgtOdJh51vSwnOJifS5mcFyjU67Z+YWztCPJViyMRuOsjEGQ9N1Yul4N02fGD0WLDubw97PhzZ3/t8pZ6mAFShho5Yx9mwAAFVBJREFUiKLpyIctHuiYp7MJmo5VIicch5xhXYRcUtn5ERjo8DIbw/pERFuJDzAkfgP4PzoyjGFDPuP1HkcssmjDkOF+qqnSGm7pekjbUkv9jPTblJYr5Az/70kY7T/1PQ5kxUEsjr/oCWQkr7TPGtuLeFv6bYjX/OgM7NAMMCt6ZxG5dzBfid7f4ibiWuRYdn2ffkgZLUxFs5HhI0vnKBVG9hmtwzRJS9KPlaVOCXykH38tfsbyXYeL2RBmczVlTGFh71xGfnNbySyNGdNKZq7GRNsro1XO2Ebk2LCVDRYfWFkgDCJ9JZxrHZiRZPsrZuRxfmdFycL7Z9xTEgUw9RKcdkC1eGPGG86Y2dWeKYocMLM2tpYURz7spa4l1Hn6GocF83UsU+j7PFvZxBg+rPYzqFPsFcrgEe8kbUUUzf4P3551Tha1238ceLJl3t4i8vRgbcQs80OCE6TInx+dAWdARH43fFhZg0Wnl4aZPZ9QZobrx3oSZtn1PeuLxj6yrB14Z0+SBnnhSOKOg2v8y5oQTYXBaqcEbsbKcYTC7pdS89jumRcyxFwwXWcUb3+4iGBuqSUsQ8Az45jEAbexsB7XrHJGRw5Te5R6MMY18lhZ4AnXgqD8MZuFCagFwaKCJTCsEUOpinXuKiLyeAsAAwa+7Y8yhGcdlFSxWXfPktcxp2TbHwYDmSV9X9inU3ONNc9rtZ/BwGj6o94jrIllvbqW4LmeOj8mDEBoC5MErCllr1f2gv1ysH5ina6LM+AMOAPOgBEGtDslYzRom8qOYfJrzsCOzABbsazbC3lH5mX47CgH/BAUBtYNHxD+1z4w8I0/BvZB5sf5/tqgPH9nwBlwBpwBWwwwwovJ1LYkmD9oCx9ZHEQNZ9zGZpJ6YrWKa8iB5shqiiV2kuKR/SWxGIj/p/daOcdsVltuljgKuUEw7dLexxdnF3DDzC0DHqyxZq84PH9igaEpu4rIgxKLBvZPxDMpo/zaMzOHBiyYfrJWGE+lWH9YEytbnwx5wawX00aWxGgKnrJZT4f3YvbLZXYGj6mYFz9ME1hQQlnSgcNATMf5cR6vKcMbzV67n0Ebdp+wzIpz+ht8l9hDd7hkZ/QBOl20Uv/HHtdKPwNsPjAzVkJ+zRkYYQB3998Rkb8ODV40yxi51cyloSOA3sBQ5vnY44GOTsDRCYDUMUByucupVVx4i0x/F4jIT5JrXchZkwlrTzBhRGlgbz1+bP8Qz9dEU72sXf8x48K0Eq+VOIlCYcAzKU5XUAa1BBO8F4atnD4sIgwysCUFJnGa3rLh438Ec0HqPttjnCcix4V1R2/RIiyU35uDosAyBJT4E4JZI34HtIS1aukPE8sLk2tauMgXM94ocIVyxTvBGmuULS2BI7bmwgyb9jXOnDIok67z18DHeuWxARgGbDSXmeS40G5n2VqHdzJ6W2a9NW3G28OSqxz2JcOs1v+0j8G5pX4G1gFxEGZbGZhZsg552s5AlgHWVTD6xmgvo6t0yvGGSMcchxNaknZK0nM+vuzNpilgiDOluOSng/6EAGid05oeeK3iQllH+WMtD44lOLJ9B+f8NIU6/vKw/Ql7OiIWnKz8WETGfqxN+VXAqXWgnrEvJ51gMLJ/LoK5Je+qlsTON7MLbLGTSgxLr/U8j7zgAfT7gT/yB2sM64kn5kVZRgFb3LoAZYZ1p1oSO+PMMuAkxNLWJ2kbj4fNOJiL06GUz97cpYOiqeMccKSYe+MiP5x/jW1ZwzVNh1Fp3yI9pxwt9DPgDoWefdxR4hHeU802I61L1uq/1X7GtjgwE6qbH5yB/gykHzNypxHE2cSfBCW1P6KLcqTzdqPwMePjFX90UJjh1ZR0TypwoKSizOOwRrMDbBUXAx/scfaBUKZwZkH5S+sQe12yxcjJYRY8DdM4Z7R+3Wbl2h4G045Jeg5PmvWfzhoKFQ59sAShrUCYQcLRhKag5NGxBB+DC5gdI5cSEbxpawkKTMQCb+mWGcP2pDdGq1ufwBnlSL0a7nU5fB96csZWP3FWMl2eQx0bKqo9cZEXS1zYfgsni2wvxY9vJtc0l79Y7mekdQmuUtFsZ63Wf8v9DKsDM2md8nNnwAwDaeM3BMWMiJYwextd8g8x/PHwQuf/MV1EaU6FUUzWM7CXlpZYxRX5iNs/sLZO20wqYkqPzF6x5o9RV21hGyLWcY4J5qqawtq12Daka53wLjgc6OqJ8/5hNpLOJh5l2QqFwRBmTx/RE8hIXgzMMBjDtk2Y3P+ViLwxzLBhBqol9w2Y4Il38ogAhFlA7XYWKBa3PmH5BmUZ90mMnowZoNRUGBhYiIppWp+umaxtTq/3PqetuEV4N3k/OcfyQlMs9zNQ4qNlVsoRJtqpOW0a1uPcav2Pz26xn2F1YCZy5kdnwBQD+5pCs22AoeGL63eGiG89vNDxf6u4hhTQ+bXk+ZZBhSh0BA5JZpHidT9ezMBuF59ucXZlETloiyv9/6GjG8uTI2UZFYf+aLbMEVPxaC5+BRFhe5t1gw9bxlz2P2ZM4QlMVmVb2PqEwZrrKBMY6z4wrLVlKKZxIAvrgZt4O1tVWxisuWpVzGUjWaj/6RNa62dYHJhJ+fJzZ8AUA4y0xk4J5m90mKy45mfk/sYiwt5xY6OHWkRa/chaLUurfLG3GOt3WANyeJgJYTYLc1lm4CwK6+60xWp5wsvYrBFKs8t6BqxxhuKCBUMUPAefFN7ReE3zaLH+W27L2EcYSwZ8C+AsEKsL2tlviciRmgUZTP+t9n+ghkEjzNpZYmWh7R8rLjwFWxCr/Z8xbqxwNobNrzkDqgzgRRCTJGzg2WaBI+YtrC/CBb6WsAUFpnisQflF+JCB82wR0d6Q2OpH1mpZWuWLuo2TC5QWZjpw5HPdUOFZ36npYCL33mmbQVstT5QXOrpsYP4XyRpTuNQ0MSZ/BtZYv8mAB+vrWKMYRdMszypncR0bHJ0iIh8XkWcE02w8QWuK1fpvuS1jyRBWRrGd3S8UIL4jhut0e5at1W8mHOAYEG7oB/1b2PoK52R4HL9WT5IGedEvTH8MGNHmxmuD27v9a7ksIzfp0QJn3QrHM3IG5jCAAoo3TRw54JQj9TCo6ZWRTlz8eGHuFrdUwD0/LtQ1xepH1mpZWuWLOpSuCRs61dJUTOM+qsMjW6CgQGuK1fLEQ+QBgRisPtiGgnVsCJg15WPByQszMzjY4l2NgyCa2Kxyln576JzzjUIwVdV8L8Fgtf5bbcsiZxsFOOLtWXPQyOo3M3IW+2Mo9GwxhdwpDLyFf7sf6CeeE/aMZn08PxTneN4dUMjQclla5UyrrDxfZyDLQPzIszbrX5I1IERKOwfZRBYIHHoRTD9eml4sedS0IznkKMW5AC3ZJK2WpVW+IJNtKZiBwSETzqNeIiKsE+Yj+/4s28sG8iHDYU/cTzU9MtKqKVbLc9hmoKSyFQUzXJrvJWU1xMZMZVScNbENcVnhjBnSuJwEj6RxhhkPs8M2t/e7YLX+W23LKB84w/wZSddV0+/QLE+r30x4itg4h6e0nUAJ0xLMZdlTFSd80QmeBS/7kS9rfVnKySpnWnXI83UGsgxgGov3RTagZ4sYNn9/YDDnfUc25rKB54rIM4OSgLJwVsiOtVCa+54Bw+pH1mpZWuWLsmQPzqeJCGZArGHGW+R7RYTNzTWd5qAk32rNK4ZJu6ZYLU9m1oZOyXAIxkwSir6moAAOlyBg3otyyhpnLbHKGdzAGZ7O+X1NRN4cTBsfoEVWyNdq/bfalkHbTcPWSMOiw6fFscOLHf+3+s2EAvo8LKuiP8YMJdvRISiDLLnSFtYKY1qMdYoFxdRyWcayssZZxOVHZ8AUA5hG4eTlfsFMitkiZo9ODa76tcBi8vaioCQ8V0QuF4DQuYvmeVrYrH5krZalVb606s+UfPGUGkejp9zf8x6r5XlHEcF761BoS04bXuz8P8rUWLvFSDrbxmjJOs5oZ7U5Y+YDh2RPCI6P2NomOqnR4ot8rdZ/TU621byH30wGAy30f+CTQXgc5ICHJUy8Dwhm7azNtSB4CH6xiHzUAJhhWVrpyw6pscTZEJv/7wyYZYD1phbFoot0izw5pukMMMPG7Ohrwjrr04MJFdYCmjOmY09g9b0cw+rXnIHWDFiu/xawbUttWVo32K/TZRoDFurZNKQ27rLMl2VsNkrPUeywDLwgeCWFANySY5KBeRkbweMVTkuYMUp/vMRs7MxaI65bFc2PLKaoZwTHKj8SkR8ET6CsT9QUNpeOwowH5kmsB8GEHO+3msL6tRODKS+YnhI8HnIN83YtGXsv8VCt/V6W+LBY/9lGQ1toWz8kIm8L9esDIsI7ivOhGymCY90a3m6jIyZFKFtkbbn+W8VmtS2jYNmzdOx3cNhCZovC7/gP5s/4GGAJ09BEnAFLTbFaz4bf8zONfM/H+LLQl6UOWcamWcc9b2dglAFczEeh44SZErKvshv3X4dtbFhPF3+/DOfa6xnGPrBc0/7IokjRCWddHW7JWaO7T/Bo/LxQrhqH1GkDH7HnBFOkJ4nI+RqAkjxZLxZluA1L6uUy3tPraPW95Pm9/s+vBWwJg1kqyybYMoZ1WcgdROQT4VzjQNv6ByJC3Qcj7+Q1NIAM8rRc/61is9qWUbT/FZzL0ccY/n42KPue/74rKA04SMN5FP/vFgCk362emGJeVutZyoul77lVvihPy9hiffOjM2CGATzcYpuPsEVLKunLlF7vcc7eWIwAH5Rkpu30JUKx+pEdethkNgbBG6Kms4T0QzZU9ob/B8jdDilnKMypRC9/6bVe51bfS57f6//8WpBTGtKw+SlvLkb6bt42mLV/LygPeIXWEsv13yo2q20ZdQjPuwySjgkDNVoy/P6wrhqHPlhope+GBj6r9SzlZcjf8P+evFnlCw4sY+tZRp6XMzCJAUwW2Yz+MBFhfd0rggnvs4N5y6REFrqJmT/ckuONDudH2jOl8TGtfmTZYuE2AeRRg+1OND0ZfyvM4DLYQBleIhI5cImfXO52iukzJtBDuZ7yfrmW30uv/8PaUv6fWdE7i8i9gzk2MzQIyyXwjKslaSczYsDJCuZ6eMHVEsv13yo2q20ZdQgLgbgv+bBOxXdheL3H/ygMcRubmB9WR2zHwrIJTbFaz6x+z63yRR2yjE2zjnvezsBaBm4f3JEzcs8s6fvCHop4hbMgKFnM5jKSb0GsfmTxSIo5HptdfyyYY8MXm3Q/XpG4uPF2PMZNw3HWwVYQlgTFHjNolAhtsfpeev2fXzNYR8q+uKzBvX4YAOQ9pQOM90gtebtWxhPytVr/gW4ZW6TWUlsWMcWjFWx4/scz9VAYmGF9orZYrGfxOx6Plr7nFvmKdcgytojRj86ASQYw52Jmy0LHPCUIXDjpsIYLjFY+silfjmvIxvj/KPJRcMmPKRIfXMy52NvUilh9L+HH6//8WmK1PK2WpVW+KHkr2Cy3ZVax3TzZX5htWJh1vkBEXphcn/92LxPDSj0bPp23GUNGyv9bLcsycr/DGejAQPrBeLiIMGtqoWOe4kJhsIKLIhlis6LMpLgoS8dVfoHS9X2syY2jv+w1prnGeliWXv/LZTnkzEr9H2szrJRnypmlgZkUl6Xv0rAsLWGz2pbBmVVsWCxEHxtvEJGXh4E2+kDnlpucRe+w+g4McVlpZ4e4rLSxltuMRSuwJ+4M1DJg9YNhFRc8W8XmuOa/BTgMYQsinF0M1/qlfM5PeXMx0rwtKcxe/+vK1Wp5Oq755WmVM6ttGQxbxcYa0yjD9dYoXJpitZ45rvm1wipn85/EYzgDHRiw+sGwiosisYrNcc1/YdgbF4dMeHzmuEdIAodImh0Tq2Xp9X9+HXPO5nPm9X8+Z1bbMp7EKjacKz4kUI2zL/YbRtguL3q1D5e6H6y+A45rflWwytn8J/EYzkAHBqx+MKziokisYnNc7V6Yy4jIddolNzslq2Xp9X92UW5EsFqejmt+eVrlbN2TaLdl63BxXRvb5UXkbBH5moh8SkTYK50Byo+ICM4ENcVqPXNc82uFVc7mP4nHcAYUGdD+YKx7dKu4wGsVm+NaV5u2vetWy9Lrf11dslqejmt+eVrlbP6T7HgxfisoogeLyNWMP77Veua45lccq5zNfxKP4Qw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDzoAz4Aw4A86AM+AMZBi4hoi8c034h5OtMtbc4pedAWfAGXAGnAFnwBlwBpwBZ8AZcAacgWkM7Dztti3ucsV0Czr8H2fAGXAGnAFnwBlwBpwBZ8AZcAZ2LAb2EpEvJY98soicLiKPF5Evi8jfisjbQ/juInKWiHxaRL4gIkeH68eLyHtE5INhD8Ykud+cpvlcOqT5DyJyXtjD8ZDf3OknzoAz4Aw4A86AM+AMOAPOgDPgDDgDOxQDqcLIg0fF9Dsisltg4grh+DwROTa59hURQVlFMf2WiFwphI0d0nyeHBRc7ruhiPzKTXnHKPNrzoAz4Aw4A86AM+AMOAPOgDPgDOwYDKQKI08cFdM/D2tCUUQvG6j4bJhd/aKI8PumiOwfFNM3F+hK8zlfRA5L7v+8K6YJG37qDDgDzoAz4Aw4A86AM+AMOAPOwA7GwJ7BZDc+9jOCKe9OInKoiLxURDC5Ze3o50Rkv3hjcmTG9NXJ/2OnrpiOseLXnAFnwBlwBpwBZ8AZcAacAWfAGXAGZBcR+aGI/HYw3f2kiJwhIiiSCOGY9WLOiykvCuglQtiNw3GuYoop75kh7oFuyhuY8IMz4Aw4A86AM+AMOAPOgDPgDDgDOzADODr6moh8VETOFpHnisjHROTvgunuUwM3OC16fbj+9yLy3nB9rmKaOj86150f7cA1zx/dGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnoCEDBwWPvdFzL8dPNUzfk3IGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpwBZ8AZcAacAWfAGXAGnAFnwBlwBpyBqQz8f05cdN4nnkYKAAAAAElFTkSuQmCC)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nQmzlbHeIG8X"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Vr3MMcFzIJ6c"
      },
      "source": [
        "- We explored the data and saw the different raw features available in the dataset.\n",
        "- We analzyed basic statistics of the raw features and saw long-tail distribution for categorical features (user, item, brand)\n",
        "- Some categorical features (categories) have high occurances\n",
        "- In general, we see that categorical features have variance in the target, which we can leverage to engineer more powerful features\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Missing Value Handling\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "Categorical Features: Imputing categorical features is easy - a unique category value (e.g. \"UNKNOWN\") can be imputed\n",
        "\n",
        "Important: Before imputing the missing values, it is beneficial to create a indicator column, which indicate if the a value was imputed or not. There is maybe a underlying pattern for the missing values and models can learn the pattern.\n",
        "\n",
        "```python\n",
        "cols = ['brand', 'user_session', 'cat_0', 'cat_1', 'cat_2', 'cat_3']\n",
        "\n",
        "for col in cols:\n",
        "    df_train['NA_' + col] = df_train[col].isna().astype(np.int8)\n",
        "    df_train[col].fillna('UNKNOWN', inplace=True)\n",
        "```\n",
        "\n",
        "Numerical Features: Imputing median for the numerical value (per group) Imputing mean for numercial value (per group) In some cases, we may know what value should be used as the default value (e.g. 0 for historical data or the max)\n",
        "\n",
        "Important: For the same reason as in the categorical case, it is important to add a indicator column that the datapoint was imputed.\n",
        "\n",
        "In our case, we do not have missing values in the numerical column price. Therefore, we artificially inject nans and then compare the difference.\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mD9f6CWoIMyo"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "b_GgDJnlIP0y"
      },
      "source": [
        "Predicting missing values: In [Improving Deep Learning For Airbnb Search](https://arxiv.org/abs/2002.05515), the authors propose to use a DNN for missing user engagement features of new items (listenings). New items have no historical user engagements, such as # of views, # of bookings, etc.. In the paper, they train a DNN based on the meta information, such as price, location and predict the user engagements feature. This could be interpreted in what are the expected user engagement.\n",
        "\n",
        "Instead of the hand-crafted default values for missing user engagement, the authors replaced the missing values with the prediction of the DNN and showed that it reduced the error by 43% (offline test) and improved the overall bookings by 0.38% (online A/B test).\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Feature Cross\n",
        "\n",
        "Duration: 10\n",
        "\n",
        "*Combining Categories (CC)* is a simple, powerful technique, but often undervalued. We will use this strategy in other feature engineering techniques, as well, and will introduce its value in a simple example.\n",
        "\n",
        "In some datasets, categories by itself provide no information to predict the target. But if we combine multiple categories, together, then we can indentify patterns.\n",
        "\n",
        "For example, we have the following categories:\n",
        "\n",
        "- Weekday\n",
        "- Hour of the day\n",
        "\n",
        "Each of them independently has no significant pattern in the dataset. If we combine them with Weekday_HourOfTheDay, then we can observe some strong behavior for certainn times on the weekend\n",
        "\n",
        "Decision Trees determine the split in the dataset on single features. If each categorical feature by itself does not provide the information gain, then Decision Trees cannot find a good split. If we provide a combined categorical feature, the Decision Tree can easier split the dataset.\n",
        "\n",
        "Combining categories also called Cross Column or Cross Product, is used in the Wide Deep Architecture by Google and is implemented in Tensorflow.\n",
        "\n",
        "### Best Practices!\n",
        "\n",
        "- Combining low cardinal categories is a good start. For example, the dataset size is 100M rows and there are multiple categories with a caridnality (# of unique values) of 10-50, then combining them should not result in low observation count\n",
        "- Exploratory Data Analysis (EDA) is faster than training a model. Analyzing the information value for different combination of categorical features (on a sample) is really fast.\n",
        "\n",
        "### Implementation\n",
        "\n",
        "```python\n",
        "def explore_cat(df, cats):\n",
        "    df_agg = df_train[cats + ['target']].groupby(cats).agg(['mean', 'count']).reset_index()\n",
        "    df_agg.columns = cats + ['mean', 'count']\n",
        "    print(df_agg.sort_values('count', ascending=False).head(20))\n",
        "    \n",
        "cats = ['product_id', 'user_id']  \n",
        "explore_cat(df_train, cats)\n",
        "```\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Kb-SrH50ISKC"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9RKXEZguIVpt"
      },
      "source": [
        "### Hypothesis based on the outcome\n",
        "\n",
        "- Some user will always buy the same one-way products e.g. cleaning supplies, food\n",
        "- Behavior changes on weekday+hour - e.g. during the week, users will not stay up late as they work next day\n",
        "- Category and brand are both powerful features, but the combination can be more important. E.g. do people buy apple smartphones or accessories?\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Categorify\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "*Categorifying* is required for using categorical features in deep learning models with Embedding layers. An Embedding layer encodes the category into a hidden latent vector with a smaller dimension.\n",
        "\n",
        "Categorical features can be from datatype String or Integer. The Embedding layer requires that categorical features are continuous, positive Integers from 0 to |C| (number of unique category values).\n",
        "\n",
        "Another important reason to Categorify categorical features is to reduce the size of the dataset. Often categorical features are of the data type String and sometimes, they are hashed to protect the user/dataset privacy. For example, we can hash the Integer 0 to an md5 hash. \n",
        "\n",
        "Finally, we can prevent overfitting for low frequency categories. Categories with low frequency can be grouped together to an new category called 'other'. In the previous exercise we learned that it is powerful to combine categorical features together to create a new feature. However, combining categories increases the cardinality of the new feature and the number of observations per category will decrease. Therefore, we can apply a treshhold to group all categories with lower frequency count to the the new category.\n",
        "\n",
        "In addition, categories, which occurs in the validation dataset and do not occur in the training dataset, should be mapped to the 'other' category as well.\n",
        "\n",
        "We use in our example the category Ids 0 or 1 for a placeholder for the low frequency and unkown category. Then our function is independent of the cardinality of the categorical feature and we do not keep records of the cardinality to know the low frequency/unkown category.\n",
        "\n",
        "In our dataset, we see that multiple product_ids occur only once in the training dataset. Our model would overfit to these low frequency categories.\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Target Encoding\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "*Target Encoding (TE)* calculates the statistics from a target variable grouped by the unique values of one or more categorical features.\n",
        "\n",
        "For example in a binary classification problem, it calculates the probability that the target is true for each category value - a simple mean.\n",
        "\n",
        "Target Encoding creates a new features, which can be used by the model for training. The advantage of Target Encoding is, that it process the categorical features and makes them easier accessible to the model during training and validation.\n",
        "\n",
        "Tree-based model requires to create a split for each categorical value (depending on the exact model). Target Encoding saves to create many splits for the model. In particular, when applying Target Encoding to multiple columns, it reduces significantly the number of splits. The model can directly operate on the probablities/averages and creates a split based on them. Another advantage is, that some boosted-tree libraries, such as XGBoost, cannot handle categorical features. The library requires to hot-n encode them. Categorical features with large cardinality (e.g. >100) are inefficient to store as hot-n.\n",
        "\n",
        "Deep learning models often apply Embedding Layers to categorical features. Embedding layer can overfit quickly and categorical values with low frequencies have ony a few gradient descent updates and can memorize the training data.\n",
        "\n",
        "### Smoothing\n",
        "\n",
        "The introduced Target Encoding is a good first step, but it lacks to generalize well and it will tend to overfit, as well. We can observe, that the observation count for some categories are 1. This means, that we have only one data point to calculate the average and Target Encoding overfits to these values. Therefore, we need to adjust the calculation:\n",
        "\n",
        "- if the number of observation is high, we want to use the mean of this category value\n",
        "- if the number of observation is low, we want to use the global mean\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0mDU_c7nIYNt"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tG0-7L3nIZwA"
      },
      "source": [
        "### **Improve TargetEncoding with out-of-fold**\n",
        "\n",
        "We can still improve our Target Encoding function. We can even make it more generalizable, if we apply an out of fold calculation.\n",
        "\n",
        "In our current definition, we use the full training dataset to Target Encode the training dataset and validation/test dataset. Therefore, we will likely overfit slightly on our training dataset, because we use the information from it to encode the categorical values. A better strategy is to use out of fold:\n",
        "\n",
        "- use the full training dataset to encode the validation/test dataset\n",
        "- split the training dataset in k-folds and encode the i-th fold by using all folds except of the i-th one\n",
        "\n",
        "The following figure visualize the strategy for k=5:"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EkHye49uIbs0"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DRMoVAIbIgKz"
      },
      "source": [
        "### Summary\n",
        "\n",
        "- Target Encoding calculates statistics of a target column given one or more categorical features\n",
        "- Target Encoding smooths the statistics as a weighted average of the category value and the global statistic\n",
        "- Target Encoding uses a out-of-fold strategy to prevent overfitting to the training dataset.\n",
        "\n",
        "We can see the advantage of using Target Encoding as a feature engineering step. A tree-based model or a neural network learns the average probability for the category value. However, neither model is designed to prevent overfitting.\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Count Encoding\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "*Count Encoding (CE)* calculates the frequency from one or more categorical features given the training dataset.\n",
        "\n",
        "For example we can consider Count Encoding as the populiarity of an item or activity of an user.\n",
        "\n",
        "Count Encoding creates a new feature, which can be used by the model for training. It groups categorical values based on the frequency together.\n",
        "\n",
        "For example,\n",
        "\n",
        "users, which have only 1 interaction in the datasets, are encoded with 1. Instead of having 1 datapoint per user, now, the model can learn a behavior pattern of these users at once. products, which have many interactions in the datasets, are encoded with a high number. The model can learn to see them as top sellers and treat them, accordingly.\n",
        "\n",
        "The advantage of Count Encoding is that the category values are grouped together based on behavior. Particularly in cases with only a few observation, a decision tree is not able to create a split and neural networks have only a few gradient descent updates for these values.\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Binning\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "*Binning* maps multiple ordinal categorical or numerical features into groups. It is mainly applied to numerical features:\n",
        "\n",
        "- prevent overfitting by grouping values together\n",
        "- enables us to add some expert knowledge into the model\n",
        "- most simple case: binary flags, e.g. features is greater than 0\n",
        "\n",
        "Examples:\n",
        "\n",
        "- binning weekdays into weekday and weekend\n",
        "- binning hours into morning, early afternoon, late afternoon, evening and night\n",
        "- binning age into child, adlult and retired\n",
        "\n",
        "We can take a look on the hour of the day. We can see multiple patterns:\n",
        "\n",
        "- 0-3 Night: Low purchase probability\n",
        "- 4-7 Early morning: Mid purchase probability\n",
        "- 8-14 Morning/Lunch: Higher purchase probability\n",
        "- 15-20 Afternoon: Low purchase probability\n",
        "- 21-23: Evening: High purchase probability\n",
        "\n",
        "Binning the numerical features reduces the cardinality (# of unique values). Therefore, a model can easier learn the relationship to the target variables, as there are more observation per category. In addition, binning prevents overfitting.\n",
        "\n",
        "Another reason to apply binning is to standardize numeric variables per category group. The datasets provides information about the product category (cat_1) and price information.\n",
        "\n",
        "For example, the headphones and smartphones have a different price distribution.\n",
        "\n",
        "- We can probably buy good headphones between 100−200\n",
        "- For a good smartphone, prices are probably in the range of 400−1200\n",
        "\n",
        "Therefore, the buying behavior should be different depending on the price per category (what is a good deal).\n",
        "\n",
        "### Apply binning\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tuqCv835IiaA"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hs42d_j1Ikeb"
      },
      "source": [
        "It is maybe counterintuitive:\n",
        "\n",
        "- the highest days are Sunday and Monday - a hypothesis could be that people shop on Sunday evening and the first day of the week\n",
        "- the lowest days are Thur-Sat - a hypothesis could be that Thu/Fri is end of week and people are finishing up their work and have no time to do online shopping\n",
        "- Saturday is maybe a day go outside\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Normalization\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "*Normalization* is required to enable neural networks to leverage numerical features. Tree-based models do not require normalization as they define the split independent of the scale of a feature. Without normalization, neural networks are difficult to train. The image visualizes the loss surface and the gradient updates for non-normalized input (left) and normalized input (right).\n",
        "\n",
        "We will first generate some numerical features with the feature engineering that we also covered in previous steps.\n",
        "\n",
        "The reason is that different numerical features have different scales. When we combine the features in a hidden layer, the different scales make it more difficult to extract patterns from it.\n",
        "\n",
        "Normalization Techniques After we outline the importance for normalizing the numerical input feature, we will discuss different strategy to achieve a normal distributed input feature:\n",
        "\n",
        "- Normalization with mean/std\n",
        "- Log-based normalization\n",
        "- Scale to 0-1\n",
        "- Gauss Rank (separate notebook)\n",
        "- Power transfomer\n",
        "\n",
        "### Gauss Rank\n",
        "\n",
        "Gauss Rank transforms any arbitrary distribution to a Gaussian normal distribution by\n",
        "\n",
        "1. Compute the rank (or sort the values ascending)\n",
        "2. Scale the values linearly from -1 to +1\n",
        "3. Apply the erfinv function\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tvbpew8nImp-"
      },
      "source": [
        "![image.png](data:image/png;base64,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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kSUUthyJIobx"
      },
      "source": [
        "Let's normalize the features price, TE_ts_weekday_ts_hour_cat_2_brand and CE_cat_2 with GaussRank, and plot the non-normalized and normalized values\n",
        "\n",
        "```python\n",
        "fig, axs = plt.subplots(3, 2, figsize=(16,9))\n",
        "for i, col in enumerate(['price', 'TE_ts_weekday_ts_hour_cat_2_brand', 'CE_cat_2']):\n",
        "    data_sample = df_train[col].sample(frac=0.01)\n",
        "    axs[i, 0].hist(data_sample.to_pandas(), bins=50)\n",
        "    axs[i, 1].hist(cp.asnumpy(gaussrank_gpu(data_sample.values)), bins=50)\n",
        "    if i==0:\n",
        "        axs[i, 0].set_title('Histogram non-normalized')\n",
        "        axs[i, 1].set_title('Histogram Gauss Rank')\n",
        "```"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "D2BCYS4DIqj3"
      },
      "source": [
        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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3ZFEp7krHY3o"
      },
      "source": [
        "## Timeseries events\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "Many real-world recommendation systems contain time information. The system normally logs events with a timestamp. Tree-based or deep learning based models usually only uses the information from the datapoint itself for the prediction and they have difficulties to capture relationships over multiple datapoints.\n",
        "\n",
        "Let's take a look at a simple example. Let's assume we have the interaction events of an itemid, userid and action with the timestamp.\n",
        "\n",
        "We can extract many interesting features based on the history, such as\n",
        "\n",
        "- the sum number of actions of the last day, last 3 days or last 7 days\n",
        "- the average number of actions of the last day, last 3 days or last 7 days\n",
        "- the average probability of the last day, last 3 days or last 7 days etc.\n",
        "\n",
        "In general, these operations are called window function and uses .rolling() function. For each row, the function looks at a window (# of rows around it) and applies a certain function to it. Currently, our data is on a userid and itemid level. First, we need to aggregate it on the level, we want to apply the window function.\n",
        "\n",
        "We are interested in how much positive interaction an item had on the previous day. Next, we want to groupby our data frame by itemid. Then we apply the rolling function for two days (2D). Note: To use the rolling function with days, the data frame index has to by a timestamp. We can see that every row contains the sum of the row value + the previous row value. For example, itemid=1000001 for data 2020-01-02 counts 15 observations and sums 12 positive interactions.\n",
        "\n",
        "If we take a look on the calculations, we see that the .rolling() inclues the value from the current row, as well. This could be a kind of data leakage. Therefore, we shift the values by one row.\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Differences\n",
        "\n",
        "Duration: 5\n",
        "\n",
        "Another category of powerful features is to calculate the differences to previous datapoints based on a timestamp. For example, we can calculate if the price changed of a product and how much the price change was. Tree-based or deep learning based models have difficulties processing these relationships on their own. Providing the models with these features can significantly improve the performance. \n",
        "\n",
        "We can combine techniques of TimeSeries data and chain them together. For example, we can calculate the # of purchases per item and then compare the previous week with a the week, 2, 3 or 5 weeks ago. We can recognize patterns over time.\n",
        "\n",
        "<!---------------------------->\n",
        "\n",
        "## Conclusion\n",
        "\n",
        "Duration: 2\n",
        "\n",
        "Congratulations!\n",
        "\n",
        "### What we've covered\n",
        "\n",
        "1. ETL the raw data\n",
        "2. Exploratory analysis\n",
        "3. Feature engineering techniques\n",
        "4. Time series feature techniques\n",
        "5. Install and use RapidsAI's cuDF for faster processing \n",
        "\n",
        "### Links and References\n",
        "\n",
        "1. [https://github.com/rapidsai/deeplearning/tree/main/RecSys2020Tutorial](https://github.com/rapidsai/deeplearning/tree/main/RecSys2020Tutorial)\n",
        "2. [Official notebooks](https://nbviewer.jupyter.org/github/rapidsai/deeplearning/tree/main/RecSys2020Tutorial/)\n",
        "3. [Official video tutorial](https://youtu.be/uROvhp7cj6Q?list=PLaZufLfJumb-cVIEsyg4CFocuq4WsvjED)"
      ]
    }
  ]
}