Module1_Lab1_FMML20210660_.ipynb

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      "name": "Lab1_Features_ FMML20210660_.ipynb",
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    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
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    "language_info": {
      "name": "python"
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/SreenadhSinagamaneni/IIITH-FMML20210660/blob/main/Module1_Lab1_FMML20210660_.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "A6I1yI79fbLD"
      },
      "source": [
        "# Extracting features from data\n",
        "\n",
        "FMML Module 1, Lab 1<br>\n",
        " Module Coordinator: Thrupthi Ann John thrupthi.ann@research.iiit.ac.in <br>\n",
        " Release date: 4 October 2021 Monday <br>\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OimBnfcpvcNS",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "ea491761-1740-4290-f373-c07d282ffc1e"
      },
      "source": [
        "! pip install wikipedia\n",
        "\n",
        "import wikipedia\n",
        "import nltk\n",
        "from nltk.util import ngrams\n",
        "from collections import Counter\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import re\n",
        "import unicodedata\n",
        "import plotly.express as px\n",
        "import pandas as pd\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting wikipedia\n",
            "  Downloading wikipedia-1.4.0.tar.gz (27 kB)\n",
            "Requirement already satisfied: beautifulsoup4 in /usr/local/lib/python3.7/dist-packages (from wikipedia) (4.6.3)\n",
            "Requirement already satisfied: requests<3.0.0,>=2.0.0 in /usr/local/lib/python3.7/dist-packages (from wikipedia) (2.23.0)\n",
            "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (1.24.3)\n",
            "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (3.0.4)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (2021.5.30)\n",
            "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests<3.0.0,>=2.0.0->wikipedia) (2.10)\n",
            "Building wheels for collected packages: wikipedia\n",
            "  Building wheel for wikipedia (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for wikipedia: filename=wikipedia-1.4.0-py3-none-any.whl size=11696 sha256=f8aff36819180a36ba1815817d887b54f0c7bd61d28137957342daf100d4da6b\n",
            "  Stored in directory: /root/.cache/pip/wheels/15/93/6d/5b2c68b8a64c7a7a04947b4ed6d89fb557dcc6bc27d1d7f3ba\n",
            "Successfully built wikipedia\n",
            "Installing collected packages: wikipedia\n",
            "Successfully installed wikipedia-1.4.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m6hGhIGiy4GP"
      },
      "source": [
        "# Part 1: Features of text\n",
        "How do we apply machine learning on text? We can't directly use the text as input to our algorithms. We need to convert them to features. In this notebook, we will explore a simple way of converting text to features. \n",
        "\n",
        "Let us download a few documents off Wikipedia."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lpUmCoEr2R3J"
      },
      "source": [
        "topic1 = 'Giraffe'\n",
        "topic2 = 'Elephant'\n",
        "wikipedia.set_lang('en') \n",
        "eng1 = wikipedia.page(topic1).content\n",
        "eng2 = wikipedia.page(topic2).content\n",
        "wikipedia.set_lang('fr')\n",
        "fr1 = wikipedia.page(topic1).content\n",
        "fr2 = wikipedia.page(topic2).content\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Cj7RlhMiO5kd"
      },
      "source": [
        "This is what the text looks like:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GW0G-t912UXZ"
      },
      "source": [
        "fr2"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EZkmNJ7XO9xX"
      },
      "source": [
        "We need to clean this up a bit. Let us remove all the special characters and keep only 26 letters and space. Note that this will remove accented characters in French also. We are also removing all the numbers and spaces. So this is not an ideal solution."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "e5yf5P9pPI4t"
      },
      "source": [
        "def cleanup(text):\n",
        "  text = text.lower()  # make it lowercase\n",
        "  text = re.sub('[^a-z]+', '', text) # only keep characters\n",
        "  return text"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qrOjC32fRuTK"
      },
      "source": [
        "eng1 = cleanup(eng1)\n",
        "eng2 = cleanup(eng2)\n",
        "fr1 = cleanup(fr1)\n",
        "fr2 = cleanup(fr2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "rIdqvL2G-LqL"
      },
      "source": [
        "print(eng1)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jXFTWwd0rk63"
      },
      "source": [
        "Now let us calculate the frequency of the character n-grams. N-grams are groups of characters of size n. A unigram is a single character and a bigram is a group of two characters and so on. \n",
        "\n",
        "Let us count the frequency of each character in a text and plot it in a histogram."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g3Lz3YUjN0L5"
      },
      "source": [
        "# convert a tuple of characters to a string\n",
        "def tuple2string(tup):\n",
        "  st = ''\n",
        "  for ii in tup:\n",
        "    st = st + ii\n",
        "  return st\n",
        "\n",
        "# convert a tuple of tuples to a list of strings\n",
        "def key2string(keys):\n",
        "  return [tuple2string(i) for i in keys]\n",
        "\n",
        "# plot the histogram\n",
        "def plothistogram(ngram):\n",
        "  keys = key2string(ngram.keys()) \n",
        "  values = list(ngram.values())\n",
        "  \n",
        "  # sort the keys in alphabetic order\n",
        "  combined = zip(keys, values)\n",
        "  zipped_sorted = sorted(combined, key=lambda x: x[0])\n",
        "  keys, values = map(list, zip(*zipped_sorted))\n",
        "  plt.bar(keys, values)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zHD62zbZcwAB"
      },
      "source": [
        "Let us compare the histograms of English pages and French pages. Can you spot a difference?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LKcGRgH6b0KP"
      },
      "source": [
        "unigram_eng1 = Counter(ngrams(eng1,1))\n",
        "plothistogram(unigram_eng1)\n",
        "plt.title('English 1')\n",
        "plt.show()\n",
        "unigram_eng2 = Counter(ngrams(eng2,1))\n",
        "plothistogram(unigram_eng2)\n",
        "plt.title('English 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fDM_UhCL2QLt"
      },
      "source": [
        "unigram_fr1 = Counter(ngrams(fr1,1))\n",
        "plothistogram(unigram_fr1)\n",
        "plt.title('French 1')\n",
        "plt.show()\n",
        "unigram_fr2 = Counter(ngrams(fr2,1))\n",
        "plothistogram(unigram_fr2)\n",
        "plt.title('French 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kxgrdZLKdkAB"
      },
      "source": [
        "We can see that the unigrams for French and English are very similar. So this is not a good feature if we want to distinguish between English and French. Let us look at bigrams."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OmRCxItx2T9W"
      },
      "source": [
        "bigram_eng1 = Counter(ngrams(eng1,2)) # bigrams\n",
        "plothistogram(bigram_eng1)\n",
        "plt.title('English 1')\n",
        "plt.show()\n",
        "\n",
        "bigram_eng2 = Counter(ngrams(eng2,2))\n",
        "plothistogram(bigram_eng2)\n",
        "plt.title('English 2')\n",
        "plt.show()\n",
        "\n",
        "bigram_fr1 = Counter(ngrams(fr1,2))\n",
        "plothistogram(bigram_fr1)\n",
        "plt.title('French 1')\n",
        "plt.show()\n",
        "\n",
        "bigram_fr2 = Counter(ngrams(fr2,2))\n",
        "plothistogram(bigram_fr2)\n",
        "plt.title('French 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "O-egsHMIg5Rp"
      },
      "source": [
        "Another way to visualize bigrams is to use a 2-dimensional graph."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3EaPJgtaVxZM"
      },
      "source": [
        "def plotbihistogram(ngram):\n",
        "  freq = np.zeros((26,26))\n",
        "  for ii in range(26):\n",
        "    for jj in range(26):\n",
        "      freq[ii,jj] = ngram[(chr(ord('a')+ii), chr(ord('a')+jj))]\n",
        "  plt.imshow(freq, cmap = 'jet')\n",
        "  return freq"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "M7jq3AwnVzQT"
      },
      "source": [
        "bieng1 = plotbihistogram(bigram_eng1)\n",
        "plt.show()\n",
        "bieng2 = plotbihistogram(bigram_eng2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UXPTOj67WsPT"
      },
      "source": [
        "bifr1 = plotbihistogram(bigram_fr1)\n",
        "plt.show()\n",
        "bifr2 = plotbihistogram(bigram_fr2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rGOEHcyGokD0"
      },
      "source": [
        "Let us look at the top 10 ngrams for each text. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dk2TkzTno8vb"
      },
      "source": [
        "from IPython.core.debugger import set_trace\n",
        "\n",
        "def ind2tup(ind):\n",
        "  ind = int(ind)\n",
        "  i = int(ind/26)\n",
        "  j = int(ind%26)\n",
        "  return (chr(ord('a')+i), chr(ord('a')+j))\n",
        "\n",
        "def ShowTopN(bifreq, n=10):\n",
        "  f = bifreq.flatten()\n",
        "  arg = np.argsort(-f)\n",
        "  for ii in range(n):\n",
        "    print(f'{ind2tup(arg[ii])} : {f[arg[ii]]}')\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_HeWNh_q0QZ1"
      },
      "source": [
        "print('\\nEnglish 1:')\n",
        "ShowTopN(bieng1)\n",
        "print('\\nEnglish 2:')\n",
        "ShowTopN(bieng2)\n",
        "print('\\nFrench 1:')\n",
        "ShowTopN(bifr1)\n",
        "print('\\nFrench 2:')\n",
        "ShowTopN(bifr2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6kDovOP4l98z"
      },
      "source": [
        "We observe that the bigrams are similar across different topics but different across languages. Thus, the bigram frequency is a good feature for distinguishing languages, but not for distinguishing topics. \n",
        "\n",
        "Thus, we were able to convert a many-dimensional input (the text) to 26 dimesions (unigrams) or 26*26 dimensions (bigrams).\n",
        "\n",
        "\n",
        "A few ways to explore:\n",
        "1. Try with different languages.\n",
        "2. The topics we used are quite similar, wikipedia articles of 'elephant' and 'giraffe'. What happens if we use very different topics? What if we use text from another source than Wikipedia?\n",
        "3. How can we use and visualize trigrams and higher n-grams?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jfIakJTe4iym"
      },
      "source": [
        "**ANSWERS**\n",
        "i tried to answer the above questions using programs and theory after my research "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ULM61Sb_4d5R"
      },
      "source": [
        "**1st answer :** \n",
        "I tried  with different languages like german,spanish,portuguese,polish but \"disambugation error\" occured and finally italian,indonesian languages passed without any errors. you can find the code regarding that below"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "K7TUDLKxyZOX"
      },
      "source": [
        "#1\n",
        "topic1 = 'Giraffe'\n",
        "topic2 = 'Elephant'\n",
        "wikipedia.set_lang('it') \n",
        "italian1 = wikipedia.page(topic1).content\n",
        "italian2 = wikipedia.page(topic2).content\n",
        "wikipedia.set_lang('id')\n",
        "indonesian1 = wikipedia.page(topic1).content\n",
        "indonesian2 = wikipedia.page(topic2).content"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lf0WJvQF1DMm"
      },
      "source": [
        "#1\n",
        "italian1=cleanup(italian1)\n",
        "italian2=cleanup(italian2)\n",
        "indonesian1=cleanup(indonesian1)\n",
        "indonesian2=cleanup(indonesian2)\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "32IRYOit1oUI",
        "outputId": "103e1d92-2422-4152-8d1a-8b10df5557eb"
      },
      "source": [
        "#1\n",
        "unigram_italian1 = Counter(ngrams(italian1,1))\n",
        "plothistogram(unigram_italian1)\n",
        "plt.title('italian 1')\n",
        "plt.show()\n",
        "unigram_italian2 = Counter(ngrams(italian2,1))\n",
        "plothistogram(unigram_italian2)\n",
        "plt.title('italian 2')\n",
        "plt.show()\n",
        "unigram_indonesian1 = Counter(ngrams(indonesian1,1))\n",
        "plothistogram(unigram_indonesian1)\n",
        "plt.title('indonesian 1')\n",
        "plt.show()\n",
        "unigram_indonesian2 = Counter(ngrams(indonesian2,1))\n",
        "plothistogram(unigram_indonesian2)\n",
        "plt.title('indonesian 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "QRjJl_Mv2aTZ",
        "outputId": "e3ad0331-a0de-4a33-ee32-4e996aeff55b"
      },
      "source": [
        "#1\n",
        "bigram_italian1 = Counter(ngrams(italian1,2)) # bigrams\n",
        "plothistogram(bigram_italian1)\n",
        "plt.title('italian 1')\n",
        "plt.show()\n",
        "\n",
        "bigram_italian2 = Counter(ngrams(italian2,2))\n",
        "plothistogram(bigram_italian2)\n",
        "plt.title('italian 2')\n",
        "plt.show()\n",
        "\n",
        "bigram_indonesian1 = Counter(ngrams(indonesian1,2))\n",
        "plothistogram(bigram_indonesian1)\n",
        "plt.title('indonesian 1')\n",
        "plt.show()\n",
        "\n",
        "bigram_indonesian2 = Counter(ngrams(indonesian2,2))\n",
        "plothistogram(bigram_indonesian2)\n",
        "plt.title('indonesian 2')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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7FTi1fHwScP0863rQPOcb5rHAfZZpmcu4XMtcWWXetYDlHJGZm/oD1y2gwJFk5tnA2QstJyLm1/cy3CbgB5Zpmcu4XMtcQWUO6gJZqIV0odwG/GLn8+FlmCRpN1hIgH8beGJEHBkRG4DXAOcvTrUkSbOZdxdKZu6MiN8CvgysBT6SmdcsWs2mW3A3TM/fB75hmZa5jMu1zNVZ5sjm/RBTkrS0/E1MSaqUAS5JtcrMqn6A+wcM2w7cA1wEfBHYCewH3Awc1JluM8330LeW16vLsO8DDwMPlc8/AC4APgQcPWB5HwNOLO+/CfxJb/zVpS4XA58vw75V6nUDcCNwRztu0HoBvwbsovkt1/vLev2wtz5vKeX8DLiqfL63zJfl9a1l2ouBid4yvlXq8gc0zzJ+s7MtrgduB75bpr2mlHd15/31ZdtfWl6/CGwv019afu4t67ANuLSMe6As411lm9wFXA48UMbf276Wn83ADWXY5cAjZdntz9XA2zrr/rayTXYB3y379SdAdo6Dq0s9Hizb98FSl/vLtju03Y6deV475Jh8d1lm+3oz8LqyT74AnAycNWg/tPugvL+5TH8snWOsM+3JwKEznBsXl3XY2j+maM6HNw+Y54VlnvOBo/v165bT2W7teu4EvsLgc+0dvTKmjC/D7qA57j4E/Bx4bnf5pdzTgL+i+R2Sv6U59t5cxr+B5rj6JvDBsg//Dnhn2e+fBI4APlPKeeegfThknW+l+VbdtP0w074o2/OC8v5Q4NzOuC8C+y1mHq6UFvha4KLMfFFmHgc8lJnbZpj+gFEKzcxfzxn+NEBxPc2B1XUQzRf8Y8j094+w+FNoTpDPlbocRxMoXW8uZT0ZeEL5vJEmrC4B/hz4YUTM+LA6M/8DTVj37Qusm2X+HcCH+3XLzOeWn31oAvrqzHxuGX0ccGd5/6XMPAh4FXBTmXef9rW83wx8r0z/KpqLzqi+RHNiD7KG5tiZJjN/3FunzcBr57DcL9Psu4vmMM/NwLsy82tDxp/M1K/u9h0D3JMDfuGDEuDR6J/324E39o/1zrRryp/OCKbetW8HXkpz4VwzOUusAd45ZFnTZPPLgFtpGjf9Op9K8xvejweeA/wSzXFOeb8vcBSwHthAc/y/vnx+Bc32elkp5xSaC+sobmX4cQOz7wsy88eZeWLn83Gz5NKcLduHmBHxOZqrWTcIk9G7fR5hyMk5BsngsB42XI2dTP8m1DaaE7er3Y73lHFryjCYemzM9r4Wo9R5tmlW6novhvbCHJ3XHTShP59zeZTjrb0j/ipwRWb++7lXe7rl3AJ/I/D3aK5ybbfDTWXcLpqrPzQtTWh2ADTBDc3JDk1IwPBW7/be50cGTLMDuJLmVhyanZHAeeVzu8O6V9edZfhMV8hdvde2/B2dadr6d8vJ3uu9syzjkVnq0V9WX7812t9mbdntNDtnWF63VdP91eJ2+od7r916/aSz7P5J0q3foPV4aMCwQeP627Z1f2f4oGNkJt269ecddry17uyNyzK+u/79/QGjB2F3Wf07PJi8Mxv1GOqeZ7eV+R7szN8ej9Dsp0c6y72js4xHKN1e5fNVnXLb+du672LyWNrJ1HXqbpt2+Q8AdzN12/f3+6gt22TqcfxwZ3hbxg4ms2sC+NGIZc9qOQf4W4BrgVto+r+eSNNNAE29N5T3zy+v68tr2+pubyPbFt7evfLbDfxwb/igbfIAcCTwmPK5DeZndKZ5kGYn9VuGM53sa3qvG8vr+s40bf27J2T0XvcaUn57sD4wQx1gtIO1u/xhx027rvfOUOYenfd7Dpi37T64rjOuPSEfP0Odundb6wdMs7Ez7AtMDfnuhbadftjFrH1WMh+7mH5XOGhbzhTgDzH5jAOaem5guu6FfyfDL6rdO6B22q72bxA9zNTt3T2uH2AyhD/TGX4ozfo+prxG+Wm3wbryvt0Gj+ssYw1N90j7+ahOue383fVpj6V1NN0xbVhf25suaLZXW492W3ePmWGGHdPdLqv2OGvXtb3gH0SzTgcw/+NnmmUZ4BHxQpq+zrto+ox/zuRVHJoHVHf3ZutfOfutiR1Ml0yGcutuJsO9LWsPmoOpW9bPgDM6w9YzuMumDc9+S3oH00/Gdv1+3Fn+j3rz7WIyILf2ltE9qbotpr06y+lup26raCYHd94nzf5o69LVvY0cZBdTL5ifHTBvuw7dMh7pvPa7XLrbc6a7lO64Y5h6J9A9BtrpbukN+2pn2u4+6xs0vBtKfd1WZKsbJmuZul/XMTWw15V52/n7F6Juvdph7R1s25pvrelM26/LdUw9Trd1pl3bGXc7U/fxLqaud/e46x/37XTtvunul/Z9d3+258b9wGWd4YMuaN3t8jCwD1P79IddsLv6x/ug462drj1H22X8N5ptPVtjak6WZYDThOWDNCubNAG6kcn67gvsX973D9j+a6t/hW03bH9nH8jk1bMto71it391bD1Ni/4pnfnW0twl9Jf/2PLab0m3D126J1a7ft06tC2g7gG2dxnXlr1nr5xunfZk8mFdd52iM2y246Df+t+jN7zdB+0FbP2AulCW0z0p9++8b+dt/+DPEZ1x7b67i8nt2A/mdUy9CHTDCqYG1eEMv2tp53tcb/jWzvs1DF6/mS5cw6YZdIfVreuBTF9W9IZ1nw3190UwddvA5HHfbQ239exP29blV5l+bLfLa0Mcmm+StH3JO3rr0h6jbct0O00jpp23vTBupAnZQQ8Ru3U4pLx/bGe9d9EcV+02OaqzzHbePZg879f2XtvtOGib9xto9zF4m6xh6jFyP82fHtkwoIwFWZYPMSPiMTT9y89nMrjn+nBjdz7EXA76LZ3FNKxV1192+zro4eQg25k8kdp5LgOexdT1uZemxdTdp6M+8GqXMdcHm/1punXdwfSgm8lc983dNMENTT9wewc0l4d8o+6DUXXXob1rW1teb6Z5XgVTt9NcLdZDzLaccZ4T3eXMpr2Ar6H5GuxZmfmxxanBIn4ncal+gL3L6zrg8zRXxvWd8dO+O94ZdwHwkgFlBfAB4Hd60+/J5IXvNcB55f3HGPB90W6Z5f3pwJnzWKd/1hs/cJ2A/wMcT9MvdxXN92H7P+33p2+gaeV8jiaUTi7b7mGGf+d52rqU+r2oM/xiet+rHbJuB9LcBl/aGfdCyvdoO8M+BpxYpr+NJpy+D+w7wnZ8FXBOeX8y5fvYQ6Z9G/CeRTwuTwP+I+V702XYBPCNUbblCNvx0fp2tunhZf8dz+R3+q8u457P5Hf8v0/T+m2HPUTznOdm4L+09Z1l/dbSXGzWz3JMTjnHhpxnPwaO7Iy/md73xsvws4BThizn6cDfznQsleF7Djt+OvX6PM3fXzpz2L4AfpfmwetDNP+Z7Kry/p92ju/vA7+wWMdU/2fsfw98N3l3RBxL01p/HPCBzBzU5/2oiNgP+H/A32XmhZ1RvxERJ9G0Iq4E/qw369OBsyIiaPoB3zhC/Y6PiLfThPEtNEEym+46fYXyffBhOuuzEfjfTPbxDZy89/kEmtbER8q4b2Xmx4fM21+Xn9GcEJcMmX6QC0p996G53f7jEebZn6b18gs0J8mfZObPZpohIl4O/CEj7KOI+Guah6QvHqEus4qIN9Hs51dSvntc/m/sbzL5XeR5b8sB9T07Io4Bfpnmu+9z+cNy64D7MvMHzWE9smuADw0712Y4x2DqebY/8PXM/MFMC4uIy2mev5w2YNwE8HGaC+FMZRxL83sL7x9y/BwfER+g6er7OnDSkHK+BryAZttdC/wFTaPpSuC0iHhPWbf3ZOYdM9VpIZZlF4okaXbL9SGmJGkWBrgkVcoAl6RKGeCSVCkDXJIq9f8BSOS76GRc+vAAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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rXWarqgCXJE0ywCWpUga4JFUqMnPRFjYxMZGbNm2a07wztSXd8YFXDT3tMGUsVDnjUsY41cX12bWMcaqL67NrGQtZzlxExDWZOdEfPq8r8Ih4ZUR8NyJui4iz51OWJGl25hzgEbES+CjwS8AxwK9HxDELVTFJ0vTmcwV+PHBbZt6emU8D5wGvXZhqSZJmMuc28Ig4DXhlZr657f8N4ITMfHtvurOAs9re5wHfnWNdDwLua9/nYyHKWKhyxqWMcaqL6zPedXF95l7OffMo/8jMXNcfuGoeBQ4lMzcAG+ZbTkRsysyJiJjbXdDJ+sy7jIUqZ1zKGKe6uD7jXRfXZ+7lDLoJOV/zaUK5G/iJov+IdpgkaRHMJ8C/BRwdEc+OiDXA64FLFqZakqSZzLkJJTO3RcTbgb8DVgKfzMwbFqxmu9rQe1+IssahnHEpY6HKGZcyFqqccSljocoZlzIWqpxxKWMhyxnaov6QR5K0cPwpvSRVygCXpFplZlUv4NEBw84AtgE3AVcCl7X9a4E7gIN6068HtgDXAz8PPAVc35vm48AxbfengO8B1wFfAp4Avgqc0/bfCdwPXAX8zVR17dUzp6nfO9pp7mrfNwEPt/Mk8N1pts8/ALe1dflz4I00z95367oVuLlY7+8CtwPb2/4b2jq+E3iyKPebxet64IF2+MPAN9vuJ9v6ndeWcQHwaLdtgYeLeR5u98MtA8r/Zjtue6/uTwH3AA+2w+8Cvt8u84Z2+E77tF3+o8Dj7bBL2+VlO/yxtq7b2ulzhuPvHOA9Rf8e7TZ9APhMb9qrgIlB+6ft/m/AvcDbplneGcBh7fa4fsD4q9q6X1Rs50HnyNoZlnMHzQ/xLp2i3u8C9p6m/HOAv6Q5Xu9nmvOvmOf3BtThoKL/Je1++zTtuVisy7vb10U0x+pamnP2buDL7ft3gN8HzivO+zdMt4/Y+fyZoDn3T5tivxwHXDBg3GXA2lHmYPdaTlfgK4C3ZOZLM/MUmvB5aJrpnzldYZn55sy8cchl3wk8PWhERPRvFK8A3gI8Nk393ga8nObEfQWwL7Bnu5zfBS4fsl5/BnyjN2wlsLo37Bk0YfkDmvXYDlxTTpCZ/7p7AW+nCVkyc792WFf2tcDHgC9m5mnAzxRl7FfMsx/NCXVrv/yivNtmWL+VwAE0YbEJ2DzNtCva6fuS5oPnqalmHLAPS8e17+dm5humrW1/wZnvo/kw/cdpJjuD5jiYygtoPjzeNcPi1gJvi8Zczvt3AXu322JFW87KXnkn0Bzb62iOox/RbPeIiBXt68fdwH8uuqfzO71zcS3NjwPPAk4B3toOOwV4Fs3xfSDNOfMm4NR2vucAs9pH0zgDWNMe4zvJzFNmyJ4FM7Y3MSPiIppP4GcA0Q5OZtfsk8W8U9nO4BN7sQ1T11o8BuwD7GByf/0zTRCV69mNf4DmBAx23tfl9ngaWDPFuL5tTP2E1Y721Y1fTtt9sXXbrrZtuJ3J43IH05//5brNtJ6DxnfDdtB8W9yH5pvGSZn56KxqPcA4X4G/Cfgpmh8L3UJzNXZ7O24HzQm9reiG5isxRf8Wmg3YOXfAct5XdD/Rvmfx3n29Lof3u0uP98Zvbd+30Rw45bDyUzp6w7plPqvopigjada9b7pP5HL6z0wxTfbeYdcfaHXbt9wu5dXv/27fy5Nkv7b7umK6y9r3H9JcAXfb4Ckm17Or88p2OU+3023v1bH8Ew3lCUevu/x2Mcz+7JvtPNt7/Y8MMV1Xbrm/Hhow7RPFsMfa9wdmqM+OKbrL5ZYeLroHfsukOc8698yw/L6v0qzHzUzu021FdzJ5viTNsbG56O+m/x6T6/MUk+vSHaNdTjxN09TW6c7Xchnle2cHU4d3N2/3YQbNt7rObe00B9M0Ud1B80163sY5wN8B3EjTbPA84GjgqHbcCpqrsVVFNzRNDRT9B7PzRh/0NfPAorvbHuU8q5j8hC530KCQANi7N75rrijL6YatHVCfblg37VXsfDXZBdmjNF9RhwmRHe103cG6nabpYappS1tp2jRLXf3L7TVdk9QTTB7QVxfDj2/fn9Obvtu35TK2F+Og2Q7lfnpe0R2997J7JfCiAcNhct2fZucQ6H9YDJoXBod7/xzrN1910w76YC6/qexTTN+VueeAsrrjZwdNqG9l5+ahFQz/YfUkOwdyP8C7cDygV+aO4n1HW4fu4ip7055As0+PYnKfriq6u/7OGibXMYrXEex8wdBtu8eZvApeyWRmdHXoztdB+6VT7p+uv7SSXXOh2zdbi3XZA/hV4MXAkdMsb2hjGeAR8RKaFb2P5srqMZoQ2FpMdi87X4F0bZldd6cMpE8OWNyri+49mPzEL0/e7iAovyKVVwjlFdP3aA70blh38/Eudg2x24v5t7bz/1o77vz2vfxzBd26PcbkAVV+kHRB3b867+ryg2KeV7Cr8kp/umarbtxjxTTfL8ZftvPkP64X7HwibC2GdSdQt43LusCu4dH196+0umFThVTS3Kzslj/oxJzq201/mkHvXfegDxGAfxpQ/qCv8WV5K2iCp/xW13377MKlC8hB+72sw9aiv79fu2OwnL+sx9O94T9q+7cw+SHxW+z6TbO7Si7rd29vmauK8TvY+QOt81RbTv9YWNGr+y1FdxfWTxb93YdheZyVy+t/iHZNLv1jatDFXPfqvjFdQvOtaDNNFlwN/H5mnskCGMsAB/anCecuOPei+UQrP4kPboeX9hhQVrmOJw4Y37/6i3ae7pN9e7vs/om4ojdtN2xvmjDqdu4e7fiDmLx6fH77fmWxnNXt/L/cjlvfvvfXsRu2P5PNEoPqXa53dwXQ/bW0qb4O9tugu3Xa5a+g9aYJmj+t0Onq3p0Uq5gM+7LOF7Tv9zG5b8srp1K3D7plru5Nf0sxbbd+g8I5mLyxWoZiNx80+6ncFtN9fS6H9z90BjlkwHzb2TlAVrDr8rYXw1a3de/CuLuyhOYCgraMfdtp10wWM20TUHcMdvaiacLrdPuw2w/d8VR+YzqkqOcjRfdexbzd1WjSPOXRb6Isj9/y6ncPmg+q/g3nbht08xxVlLV3O3wPJkN4j2LaLjNWFO9deZ2Vvf5+u38MeO3fjvuXwKE022pfmnN/TUQ8lwUwljcxI2IP4GKax8H2ZPABPYxBNxXGVb+uTzEZJAtlmBuB3Y3F8sDYzuCbgo/Q3GSGJky6UL2eJiS7m4k7aNoBn9ub7jrgWCZvJPe/4ZQnTXljclDdH6G5slpB8+E/6IOvM2j+7lvQmmJ8994F+Ew37MrtOxtPt8vurgynuwk7lbKuKxjNsd/fJ92ynqbZp9Hr3sJkU912Bl9gjbP+cVBu0yfZuQmru2rvf5PaTrM/u23yCM2V+G9n5vz/dtRiPKs46hewb/u+CvgbmuaX+4HVxTS7PLvaK+NS4GXzrMdV9J6fneX8M9Vx3/b1P2huLN7ce91C8xzuzTRf2S6ieazvZppQe8NU5RbdZwMfnss6FfvhQJqmgmcV415C+wz2FPMeSNPMtJWmOeYoYNsct+MZwEemGPce4P29uv6AyWfZp63nDMs9h52fEZ8Avjbddm6P15dOtb1pn//u6j3NNt+b5lHKfzVg3vXs+jz99TT3mG4vxq1v99ug30XstG4z7P99aULr+Nkc31OUFTQ3xX+n7b+DAc+VAx8BzpzruTeX84AmrJ9g8uLkunab3ggcPZ+6DPsa+d8DXyTnRMTJNJ+IXwL+CPh4Zm6dfjaIiLU0z+F+JzOvGG01520Dzb+w676eHTpgmu5KIYHXMNmU8OXMnOrJk1dFxHtpPgDvpAnAubi03Z5raMLm3plmAIiIw2jC5xCappPP0JwEF86xHlMt50KaJrOTirruR3N19L8WeFlnA/+e5odUnf52/hFN8H59huJ+Evh3bb37NrT/ynBPYGNmXjtkFZ8LbAR+Ycjph9HV5V8A38jM6Z5vn8lbIuJ0mmPp2zS/aRgoIq6had559zyWB7M4DyLil2mOz23A14AraM7LHcAnMvPWedZlKGPZhCJJmtm43sSUJM3AAJekShngklQpA1ySKmWAS1Kl/j/oeddGK5E1/QAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "a4z_aChi4NRN"
      },
      "source": [
        "**2nd answer :**\n",
        " I have selected two different topics in english and used a text file to extract the features of text rather than using wikipedia directly. You can find the code regarding that below"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7CZmmpnZsUpV"
      },
      "source": [
        "#2\n",
        "topic1=\"Lion\"\n",
        "wiki1=wikipedia.page(topic1).content\n",
        "file1= open(\"lion.txt\",\"w+\")\n",
        "for eachline in wiki1:\n",
        "  file1.write(eachline.strip())\n",
        "  eachline.strip()\n",
        "file1.close()  \n",
        "\n",
        "file1= open(\"lion.txt\",\"r+\")\n",
        "for eachline in file1:\n",
        "   eachline=cleanup(eachline)\n",
        "   english1= eachline\n",
        "file1.close()\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "p-MFJw7Psgag"
      },
      "source": [
        "#2\n",
        "topic2=\"parrot\"\n",
        "wiki1=wikipedia.page(topic2).content\n",
        "file2= open(\"parrot.txt\",\"w+\")\n",
        "for eachline in wiki1:\n",
        "  file2.write(eachline.strip())\n",
        "  eachline.strip()\n",
        "file2.close()  \n",
        "\n",
        "file2= open(\"parrot.txt\",\"r+\")\n",
        "for eachline in file2:\n",
        "   eachline=cleanup(eachline)\n",
        "   english2 =eachline\n",
        "file2.close()\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        },
        "id": "bsyRmAEws6zr",
        "outputId": "0d729333-19af-4400-dfa8-8d84e811ff02"
      },
      "source": [
        "#2\n",
        "unigram_english1 = Counter(ngrams(english1,1))\n",
        "plothistogram(unigram_english1)\n",
        "plt.title('LION UNIGRAM')\n",
        "plt.show()\n",
        "unigram_english2 = Counter(ngrams(english2,1))\n",
        "plothistogram(unigram_english2)\n",
        "plt.title('PARROT UNIGRAM')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        },
        "id": "tAIPIGrvuLiB",
        "outputId": "859ac2e0-e476-432d-ad6f-83f07ac393ed"
      },
      "source": [
        "#2\n",
        "bigram_english1 = Counter(ngrams(english1,2)) # bigrams\n",
        "plothistogram(bigram_english1)\n",
        "plt.title('LION BIGRAM')\n",
        "plt.show()\n",
        "\n",
        "bigram_english2 = Counter(ngrams(english2,2))\n",
        "plothistogram(bigram_english2)\n",
        "plt.title('PARROT BIGRAM')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gUGtRbj08gSG"
      },
      "source": [
        "**3 answer:**\n",
        " higher n-grams can be visualized using nltk library .\n",
        "an example with code showing how can a trigram can be visualized is show below. this example is created by changing the value from 2 -> 3 in the code of the previous 2nd answer bigram "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YxXhRMueyHWM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        },
        "outputId": "5e3b709b-5da4-4559-9f30-b1595adc5466"
      },
      "source": [
        "#3\n",
        "trigram_english1 = Counter(ngrams(english1,3))\n",
        "plothistogram(trigram_english1)\n",
        "plt.title('LION TRIGRAM')\n",
        "plt.show()\n",
        "trigram_english2 = Counter(ngrams(english2,3))\n",
        "plothistogram(trigram_english2)\n",
        "plt.title('PARROT TRIGRAM')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2ZJfjIHk-oHV"
      },
      "source": [
        "# Part 2: Written numbers\n",
        "\n",
        "We will use a subset of the MNIST dataset. Each input character is represented in a 28*28 array. Let us see if we can extract some simple features from these images which can help us distinguish between the digits.\n",
        "\n",
        "Load the dataset:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yNsLJSr6wGY0",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6309e874-beaa-4cdb-fda0-0fb81aed1b5d"
      },
      "source": [
        "from keras.datasets import mnist\n",
        " \n",
        "#loading the dataset\n",
        "(train_X, train_y), (test_X, test_y) = mnist.load_data()\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n",
            "11493376/11490434 [==============================] - 0s 0us/step\n",
            "11501568/11490434 [==============================] - 0s 0us/step\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jVNr144WAUZO"
      },
      "source": [
        "Extract a subset of the data for our experiment:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "P3MN8ddxAASZ"
      },
      "source": [
        "no1 = train_X[train_y==1,:,:]\n",
        "no0 = train_X[train_y==0,:,:]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ePXCs0qyCLpc"
      },
      "source": [
        "Let us visualize a few images here:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BQeyZSh-Arpc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 201
        },
        "outputId": "d6c299f0-b2ba-4ed4-c619-394e87f634b5"
      },
      "source": [
        "for ii in range(5):\n",
        "  plt.subplot(1, 5, ii+1)\n",
        "  plt.imshow(no1[ii,:,:])\n",
        "plt.show()\n",
        "for ii in range(5):\n",
        "  plt.subplot(1, 5, ii+1)\n",
        "  plt.imshow(no0[ii,:,:])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 5 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 5 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1g-Tg7EKDz96"
      },
      "source": [
        "suNow, let us start with a simple feature: the sum of all pixels and see how good this feature is."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "I8SztDk7CyZc"
      },
      "source": [
        "sum1 = np.sum(no1>0, (1,2)) # threshold before adding up\n",
        "sum0 = np.sum(no0>0, (1,2))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8oW3XCOCE7Zv"
      },
      "source": [
        "Let us visualize how good this feature is: (X-axis is mean, y-axis is the digit)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "i8PIe8o_DPpU",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "b65bea74-b0a0-474d-be1f-6564ff06d689"
      },
      "source": [
        "plt.hist(sum1, alpha=0.6);\n",
        "plt.hist(sum0, alpha=0.6);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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6v7INu1VV/Rz4B5Zp+xv6QJLXJHnd9DRwOXCIwSUitrXFtgF3TabDBZur373Ate0sgEuB54eGIVaMGeOU72TwO4BB/9e0szDOBzYB3xp3f9PaePDngceq6pNDs1bF9p+r/1W0/dclObNN/yqD/5/jMQbh+e622MztP/17eTfw9faX2ETM0f93h3YYwuB4xPD2H937Z5xHrVfqDXgjg7MTvgM8Anyg1V8P3AccBv4DWDvpXod6/iKDP8H/l8EY33Vz9cvgqP9nGIx7HgQ2r9D+/7H193B7o28YWv4Drf/Hgasm3PtbGQzdPAwcaLctq2X7z9P/atn+vwP8V+vzEPA3rf5GBh9GU8C/AGe0+qvb46k2/40rtP+vt+1/CPgnXjrDZ6TvHy/DIEkdcXhHkjpi6EtSRwx9SeqIoS9JHTH0Jakjhr4kdcTQl6SO/D8yyD184gxzqwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7_hToEepFtl2"
      },
      "source": [
        "We can already see that this feature separates the two classes quite well.\n",
        "\n",
        "Let us look at another, more complicated feature. We will count the number black pixels that are surrounded on four sides by non-black pixels, or \"hole pixels\"."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HwEnlm6RFFej"
      },
      "source": [
        "def cumArray(img):\n",
        "  img2 = img.copy()\n",
        "  for ii in range(1, img2.shape[1]):\n",
        "    img2[ii,:] = img2[ii,:] + img2[ii-1,:]  # for every row, add up all the rows above it.\n",
        "  img2 = img2>0\n",
        "  return img2\n",
        "\n",
        "def getHolePixels(img):\n",
        "  im1 = cumArray(img)\n",
        "  im2 = np.rot90(cumArray(np.rot90(img)), 3) # rotate and cumulate it again for differnt direction\n",
        "  im3 = np.rot90(cumArray(np.rot90(img, 2)), 2)\n",
        "  im4 = np.rot90(cumArray(np.rot90(img, 3)), 1)\n",
        "  hull =  im1 & im2 & im3 & im4 # this will create a binary image with all the holes filled in.\n",
        "  hole = hull & ~ (img>0) # remove the original digit to leave behind the holes\n",
        "  return hole\n",
        "\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iw3HjgnupUEI"
      },
      "source": [
        "Visualize a few:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "H0sjr23NYEFe",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 385
        },
        "outputId": "c8ee5d3d-fa30-4ec5-a21d-6ab4a7471348"
      },
      "source": [
        "imgs = [no1[456,:,:],  no0[456,:,:]]\n",
        "for img in imgs:\n",
        "  plt.subplot(1,2,1)\n",
        "  plt.imshow(getHolePixels(img))\n",
        "  plt.subplot(1,2,2)\n",
        "  plt.imshow(img)\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vS-4erNXtxMi"
      },
      "source": [
        "Now let us plot the number of hole pixels and see how this feature behaves"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Dpm1dRgsety8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "1f2f22ce-37b2-4e8f-aded-931423ee1e62"
      },
      "source": [
        "hole1 = np.array([getHolePixels(i).sum() for i in no1])\n",
        "hole0 = np.array([getHolePixels(i).sum() for i in no0])\n",
        "  \n",
        "plt.hist(hole1, alpha=0.7);\n",
        "plt.hist(hole0, alpha=0.7);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8UjCBHpJ31yq"
      },
      "source": [
        "This feature works even better to distinguish between one and zero. \n",
        "\n",
        "\n",
        "Now let us try the number of pixels in the 'hull' or the number with the holes filled in:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vPtJ8eqolAOf"
      },
      "source": [
        "def getHullPixels(img):\n",
        "  im1 = cumArray(img)\n",
        "  im2 = np.rot90(cumArray(np.rot90(img)), 3) # rotate and cumulate it again for differnt direction\n",
        "  im3 = np.rot90(cumArray(np.rot90(img, 2)), 2)\n",
        "  im4 = np.rot90(cumArray(np.rot90(img, 3)), 1)\n",
        "  hull =  im1 & im2 & im3 & im4 # this will create a binary image with all the holes filled in.\n",
        "  return hull\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W3fOgyYjmJ48",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 385
        },
        "outputId": "cf6bb7a0-b23a-4d03-eba0-f35fdd56afb9"
      },
      "source": [
        "imgs = [no1[456,:,:],  no0[456,:,:]]\n",
        "for img in imgs:\n",
        "  plt.subplot(1,2,1)\n",
        "  plt.imshow(getHullPixels(img))\n",
        "  plt.subplot(1,2,2)\n",
        "  plt.imshow(img)\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "M5rHal_HRWnE"
      },
      "source": [
        "Plotting the number of hull pixels versus the digit:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WTLzYZLTRQ_p",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "de04147b-0080-48f1-859b-14da4afc5f2b"
      },
      "source": [
        "hull1 = np.array([getHullPixels(i).sum() for i in no1])\n",
        "hull0 = np.array([getHullPixels(i).sum() for i in no0])\n",
        "\n",
        "plt.hist(hull1, alpha=0.7);\n",
        "plt.hist(hull0, alpha=0.7);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OSzH26ElXNri"
      },
      "source": [
        "Let us try one more feature, where we look at the number of boundary pixels in each image."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "h-2czBypXMwT"
      },
      "source": [
        "def minus(a, b):\n",
        "  return a & ~ b\n",
        "\n",
        "def getBoundaryPixels(img):\n",
        "  img = img.copy()>0  # binarize the image\n",
        "  rshift = np.roll(img, 1, 1)\n",
        "  lshift = np.roll(img, -1 ,1)\n",
        "  ushift = np.roll(img, -1, 0)\n",
        "  dshift = np.roll(img, 1, 0)\n",
        "  boundary = minus(img, rshift) | minus(img, lshift) | minus(img, ushift) | minus(img, dshift)\n",
        "  return boundary"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "u-V688jFerXh",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 385
        },
        "outputId": "7252b1e8-964a-4767-b9e9-e46f50ca2b6b"
      },
      "source": [
        "imgs = [no1[456,:,:],  no0[456,:,:]]\n",
        "for img in imgs:\n",
        "  plt.subplot(1,2,1)\n",
        "  plt.imshow(getBoundaryPixels(img))\n",
        "  plt.subplot(1,2,2)\n",
        "  plt.imshow(img)\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kSsxsbCNXcNh",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "8867c39e-67af-46b0-82cc-f17621c72953"
      },
      "source": [
        "bound1 = np.array([getBoundaryPixels(i).sum() for i in no1])\n",
        "bound0= np.array([getBoundaryPixels(i).sum() for i in no0])\n",
        "\n",
        "plt.hist(bound1, alpha=0.7);\n",
        "plt.hist(bound0, alpha=0.7);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WuP04Ao_R0Yz"
      },
      "source": [
        "What will happen if we plot two features together? "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kl7xWg-WRkAy",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "ed7d8e28-4ac9-4ad1-db79-a42a67f28120"
      },
      "source": [
        "# Sum and hull\n",
        "plt.scatter(sum0, hull0, alpha=0.1)\n",
        "plt.scatter(sum1, hull1, alpha=0.1)\n",
        "plt.xlabel('Sum')\n",
        "plt.ylabel('Hull')\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "# Sum and boundary \n",
        "plt.scatter(sum0, bound0, alpha=0.1)\n",
        "plt.scatter(sum1, bound1, alpha=0.1)\n",
        "plt.xlabel('Sum')\n",
        "plt.ylabel('boundary')\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "# Sum and hole\n",
        "plt.scatter(sum0, hole0, alpha=0.1)\n",
        "plt.scatter(sum1, hole1, alpha=0.1)\n",
        "plt.xlabel('Sum');\n",
        "plt.ylabel('Hole');\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "# Hole and boundary\n",
        "plt.scatter(bound0, hole0, alpha=0.1)\n",
        "plt.scatter(bound1, hole1, alpha=0.1)\n",
        "plt.xlabel('Boundary');\n",
        "plt.ylabel('Hole');\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "#Hull and boundary\n",
        "plt.scatter(bound0, hull0, alpha=0.1)\n",
        "plt.scatter(bound1, hull1, alpha=0.1)\n",
        "plt.xlabel('Boundary');\n",
        "plt.ylabel('Hull');\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "# Hole and hull\n",
        "plt.scatter(hull0, hole0, alpha=0.1)\n",
        "plt.scatter(hull1, hole1, alpha=0.1)\n",
        "plt.xlabel('hull');\n",
        "plt.ylabel('Hole');\n",
        "plt.legend(['0','1'])\n",
        "plt.show()\n",
        "\n",
        "# Hole and boundary\n",
        "plt.scatter(hole0, bound0, alpha=0.1)\n",
        "plt.scatter(hole1, bound1, alpha=0.1)\n",
        "plt.xlabel('hole');\n",
        "plt.ylabel('boundary');\n",
        "plt.legend(['0','1'])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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HSA/TEr5/fYoXni9fWebWpOL/+O4Nrqz22J2XbE9qaud481yXWWkx1rLcz1jpJkhgg4Iokqx2Ez7ZKvl4d8LHtwtqB70EVvsp1sNcQ6otXpToxiKBlX7G+7dnaOu5seeYLtJWt2c1xsCwoygqy/+3s8v6IEVFUUgNbSyz0mCtw3pPL1VUjWXQifhkO2djL3wWb673eW9rzva0IFURQkZ455lWmkEWUxsLHuZVw7t5w/VRcVcF93Exq4ddBJyVVOnWKLS0nBBPmgl11JiEPP2SVMl7YhMAjTZsz2tqbZGE1EwJ9+T7T4qG722M6aaK15a7fLSd83+/e5u3Lw64vpMzyWtGRcMHW3PwnrV+h41xybQ0lMYyymumhWFUNhjneP+2wzvIG8NF4+jECucdH+/k3JrURJHgOxs7lJUhd0HjZtxAsVejF+/VeGhqS6WDWJqdV/z4psB5x/qgw5tKUtSWeaEpKss4l+zNw/MFgk6qGBWeLFEoCbPaksjwOc0qzbu351weplwapvzkdk61OeEX3lhBG3j/9oQvX1shVhFLXdibNSRRRl41bM1CKquUGbPasDOt+Ztvnzs27fRhFwFnJVX6pTQK3ntCGcTpJSRbtbzMPGkm1FFjsjWrgJA9E/z/h9xA2pI3jktLHaxz3BiX5LVlWjWs9bIQzE0jVCR5f2uGkoJLS53F+BRV4rgxKnl/e85HW1PODTrgPNo7NvZyjHNU2hER0jQnVVico8gzLjRKCKa1RcmG9WHD3qzB4XHW8qPNGVtTzTCTxHj2RTGOimNUGjRhMfIeGuMY5zWxjOhfXaK2FmstkZI0zqM9ZBF0Ekk/U2zsFVTacW21h96ZgZCs9xN25g3eeoZdhZCSc/2EonG8dztndZBydaVDiBp4MhXx1oU+3SRiWhnySiMiyaQ0SBkG9pMbE77y+uoDkwcedhFwVlKlT5+ZekqyLGN3d/dUL7ree3Z3d8myNsup5V6O6hIZ41hfpGp+upvfFQjdmtVBUiKSTEuDkpLGWt69MWO3qMF7JlVIlywrS7a4Mp2UmlgJuomk1IbNUUljHDcmJbu5ZloYjHOMixrhBaOiYS9vDuIR2nlUJPF4hIdZrdkYFUzKhnlt+Wiv4MaoIgKiKOJBCZsW2A/nGqDUkNcNgnBM7z1FbVBxxIV+RiQl64OUTppSGU83Sbi8lPHBrQnv3Z4TIRmmiu25ZntW8dZ6B2MFu3NNGgniyLMzr8mU5OIwZBr97IUB3VSBhyySfLKbkzeOpU5CFksiGYrZPtktjk0eOE5P6nG0pl40L91O4erVq2xsbHBaxfL2ybKMq1evvuhhtJwg90tJ/WhrRrZItXzUtEQBbI4rVnpJqCFw/iAQ6r0/0B7Oa8Ne0ZCXDc3itfCQJTFCCIa9GOthUmjyWjPKa8aVQRIW/d1pRS+LiSLBrDSMC0veaFZ6jtvzhizSTEqPA5QF1bVYB9ZBR0IiJROtmZU1vVRSujD2RGuOk4vz3DEMGphXHudAO81f/HibadmQJoKZDplLSgpSFTHsZGQx3BhrUqV4Yy1jWlgiKfjC5SG3JjXbs5qlrsA7z15jURLO9RMuLnXYmVUMEonzcGGYYoxHCNDWsdoNnzWAEiARITD9kLjBcenQpyVV+mG8dEYhjmPefPPNFz2MlpZ7slGcd+wVmrSxXFvtPrBu4agxscDmpCCvDSoSSCFQkQAhuLDU4eOdOWYejMCoDAHTKysZZWO5Oa7oZ4oslsQy4oNbUxBz5nXD7VmDc471fsZoHiqZY+PwzmNDMhB1DVPR0DTQ6UKmYG6CC2hWeWIVFvTGwEfbOaUJ7oc48sSEx02r4z+no7uIxoUdhDUgcHg82xPPsFvTGM9UQye1ZHHExp5lkjesLdJM98rgnNrYUyQqYmdekagIJTzjosYheH0tSFtUxrIeB8MqhWCpF/P2ej/sdLZnVI0lUYLGeApteGt98ErIqLx0RqGl5bRw9KpyXDQHhWJHYwOHryCPGhPvoRsJ5o1muZOAgFiE419ayvjOpw2bk4L3t2Y46xGr0E8HbM9q9uY1oyoslM55tvKafiKZlYabo5JeFrPacwu3hiONg0Cd8GFx76RgHHRiiJXCWU1pFobAAU1Y1KWEsgmL+f5rdRNoGo7dJdyPw+6kWWUoF0FobT2Xl1M+3a0pK8hjjcYjpGC5mzCrbXBpWcfOPFRSX1zKQtzFOTqxxIsguXGl1Ly51ifajz0KEAuX89vrvYXrrGFahVjQa2s93l7vPXbywLNq7PM8i95ao9DSckIcvaqsjcNax7wxfLrLXfpCcOfk/2BrRqYkQgajsDEq6MaKXhwazgAUtaFoNDdHjso4zvUzJkshLdVoz81xRVFbJpXGOo8CducaBLy9vkJu5qwOEsaF5oc3phjvyRQY52isxwPdBNI4Zt5ocg210Th/Z+Hfz8PxwOzQ4m+BiQ5dtZ6Ew9HAwliqxe6jrGHeeLqppG4c48qQKEG/E5PFCikFxlrKxhIJSRpHZDKi9qE+QjvBUkfRTxQqgnmjWe2G4H0sJfEiNnB5UQl+bpDinEdKQS+OuLzY0T1q8sCz6NL2Ijq9tUah5UxwViQCDrPWT/loa0auLc55bo8rdouG9X7Crq2RIiiAvnmuf9fJn8URm6OSOBJcWu6QRILro5x+lgRXhxRkSnI+y/hwa04vjbAeljoJeW0YdiS1McyqhkZblvspqYqwtsELz4e3p9ya1dwY56QqVNcKIWg0COHAe6QIV+rWOcxiN2Duk7vhjvw+jL7PfQ9DcLdRSKKIGRa/OF6jDZVxRBLSOGLQidmbV2zIgvVBwl7RUNSGCwP48NaUrVnF1dU+3UTy2U7BB7OCvOmGrY13/DtX4wOtp915hemmocfE+cFTz7en6dK2P9+v7xVEUiwyz+RzKXprjULLqecs98WtrGN7WlMby/asZlzUrPYSekpSm6ArdHmpcySrJSyM01IzXRRk1dozXBTaa+OY5Bo8fDbKSSLBci/j4lLK9T3D5rhAOMGkDLLXV5d7pElIHd3YnTFrQs3BaN6ACDEK8DQepAtLcmVCgJXEUTzA//Os2hYdNgRH7Y6x9uA+B8xrh7FhN9JLJd04ZiJq9vISax2ldXSUQHjPtDSAwO//LaCXKHQTUmZnjeH7m3vMG0M3iVjpJsTqeFP2OHPxSSvaD7+GECzkyEsuLnXI4ujEi95enuhIy0vLWe2mdmNUUNSWS8sd3jk/II0kS1lK3hhq64Pe0EqXcdHcpS/UGEckQEUS7RxIQRoLeolifZBSa8esatgrGprGcWtSHTSO8UicgSyWdGOFkpJJ2XB7UlHUDaO8YTqvmcxLZjUUlScSfiEkB91UsdLNSCPAQ175YxurPwuOW4TyI1+xcyEA7nzYxTRW450njRXLmSKV0DiP8T7EOrxnVmrGCwnt9X7GyiBhuZsxzw3b04Z+Iqkby/u3phjnH1sz6kFzcd99eJhHCUoffo0sjhBSkEQRo7x55GM8De1OoeXUc1a7qR2uIQCIVUSiBB4OYgONsTQLF8V+/KFsHFmsGHTCrqExjmEnNKO/vlcyKmrSOGJSatI04ua05Duf7aGtDRlKUrLaU7iO4tPdEus9w0xxe1pTGE8SW6ah9QACKLRHAmkEZW1oZOioFkUgnsNl4+FvUS7GdBCwPvQ/RfD6SB92MUVjSaOIJFH0UsVcWxyeWErqRYX1jjWIJsQXvPPkteW1Yca00nQWbrcbk0WLz37KaFGL8aiaUfDgufikFe2HXyPIkVfEkVj0uHYnXvTWGoWWU8/90gBnlWFaNXy0/ej5/o/Ds4hhHK4hAFjtxdwYl8QqwnuPcZ6isVxeyu7SMNrLK8rGMujEvL7WY3feYExoYnN7VtEYQxpF9FOF955ZpYPKqLGUjWapk2G9QCCoG83YeTpxxF5e0zSaXpyFBd+GRdc5UDFMNXev0ED2nGtAHQvV7gWSQ4FtCWt9xfbEoF2oaq6cwTnPleUlJkWNI8yH5U7CMEvYntd44PIwZbcwWOdZTiNmjcMCV1Y6XFnu0FhPXhkGqTq24dDjpKTe0aa6IyL49vrgofPo8GtkccTFpYythez48yh6a41Cy6nn6BXXrDJs7OWhPeMJxBieVQzjwlKHG+MCsagrWOom7M5qepmiaAzaeYxx1NZzY1zS6OD37qcxSaSA4MrophHb84rlNEJry7Q0/PTmjGEWMyo1o1zTTRRq0TN5e1YhhCeNIyIhsc7R68Ro49DGU1nHfiamBUoLD9p0VY+bT/oMOGyHDhsI7eCwNyaKBHEUQQSxhEEW02hDXhtq7chry4VhMOYXlrrESrPWi+ikCoshVimvrfVprCdWkuVeKNyDkPHVS+J7Gg49ztX//oXF+UGHK8vhsfuVz8fNo6OvIYVgtZs8txhaaxRaTj1H0wCnVcO11R6DhdDbs87IeJqskcNcXu5QaktRGxrrUVLwhavLLGXhanRUNFxZ7TLIFNf3CmrjuLba5fwg49akQhAWBeM9l5Y6DFLFTzan/OTWhEhKGm34dK+g0Za1QZdR3lBayzCVFJXGGMekbljrpVwaZgeGoDZBZmF/vZfcW0B2WuilEqEdtVvURjSWLIYokgyyhLVBEgrxphUrnZjC+IUooMR4j7Sez11d5je+eo1Z1fDR9pxpobm43EVry3o/JY3lwog0XBx2QmEI4sAi1dayPW+wix3BWj8lr81DU1KfdB696O6BrVFoeSKed4roYYmAj7ZPVob4UfzGh98/EBYSIe76LLI44u31/n0/p81RQT+L7xSoEd7TuAg9ile6MZ/s5OwVDb0k4vW1Hs7DXlEzLx2GkJU0LjVaW7qZIY5AW9jNNbPIsdxLmNWaQlv+8oMdqsbQWHCLgrCzQCTFwW4hArwUoe5CePSi01qtHcQhjiABlUhiGXo4V9awk9dc38uJhOTSUodffnudVIWeDjcnJZOyoZcqPndpiZVuQm0cV1c6TErNpGwYF4aLwxQpRAg6j0s6SsJDRDePc0M9jBcpidEahZbH5kWniJ6U1MD+Qn97UqKU5PwgO3g/h49/+P1LEVwNIILq5iJT5agQ2lGOLhiTsqGXKFQkqbRlVDQsdxPOD1OK2vLXn+whpeQnN6dBuiGW9BKFt568hs1RTqwiysaiBPQ7Mc5aJrmhE8PWrEI7QnrpC3AJPSl7pT0Ybi+FNBLMSyhrT6qaUEdhDecHnbBraDR5bZEeuonCO8vuvOHWpCCSkpVeymovOWhJ+nMXl+7bLMd5uLhQk1WRZFKEIsAg1GcYdmKurTxYqmSfB7mhTjMnZhSEEBnw/wDp4nX+xHv/Pwgh3gS+AawB3wb+M+99I4RIgX8C/A1gF/hPvPefnNT4Wp6cZ+VeeVKeNKvjOA4v9JeWO2yMCq7vFVxd6QRXzaHjH37/N8c1vSQGEZRHLy51qLXlRzfGrHTTY3dRhxcM52I+vD2jn8VsTypGpWZ7UpEkgqIxbE80y13FOK/RzlKWFrOQuLZA1UAkLNaGhb/aq1EypG4aF1pHNkc1qxecZhshuTM+T8g4ql3YNTgHlbF4D1LArDQIITk/TBAIslhS27C7u7jUxVpP2Ri+99mIdy4MHugGOjy/pmVI4xVCcmk5YzdvqBtDepCSeszcP+KGOtz3+jRzkglnNfCr3vsvA18B/rYQ4t8F/gHwB977d4AR8HcWj/87wGhx/x8sHtdyCjmuL/Dz4CRkiA8v9J1EcW21R6oktybVPce/q6Zg0bReyTt9kXfmNZV2x/fivc+C4SV44dmal7x7Y4z2jrVeyo1Rxe1pRa4tUkrKJlQdN8ZS60U8QID2ITAsgY4CY6GwITjrPTxIl+40L1FLmSTdv+FBSUkqII4giaGbxnRUxKwOvR0iD6kS9FKJw5NGEcudmPPDjCgS9NOYeR0C8jdGxX3n7OH5Nc41MpJcXumQxQrvIY6i8B0seODcF2H3KBf9nA/3vT7NnNhOwYeGBvPFzXjx44FfBf7Txf1/DPx94B8Bv7H4G+BPgD8UQgh/mhsjvEIc9qGPihrnkoNALzx/pchn7XM9GkfI4ohrq12K5t4dyGH3VRJJ8kXzGWM901KTqYh+po6/klwsGJNSU2rLvDJcW+kyr/wIDSgAACAASURBVIOyaawiPPDZXkXeWLJEUltPL0uY15rGhGbw9pCtaZpgYwwwOaRFNK8hkqc1lHwvioXIHmC8BwHKh+wjb4PERRSBFJIslpTWUtSWeDmim6lF+meMQHBhsUv76c0Zznu8cxgPN8YF89owzOL7Ktbuz69pqdmaVezMa5zzTIqGOJJcWLrTx/1Bcz9V8i43FISak/h024STrWgWQkRCiO8CW8CfAx8CY+/9/gzdAK4s/r4CXAdY/H9CcDEdPebfFUJ8SwjxrdPeM+Fl4WiF5zBLuL6XMytDE5T9gpq1fvrwg51SHqf6dK2fHhSddRLJZ7tzispyfpAwLzW3p3d6I1fasjOr+GBrdteOIVUSc+j15lVQLZ0WDbuFZmdasDcPPvM4kuzMSj7emjMtKrS1RAi6iQr1BotjVP5uV8s+Fsir013od5j9sScR9NLwHg3BEPQSiQfqBqx1NNpirA+7g1gepG++c2HA2+t9rPdcWOpgnGE3r7g1DTIjk8IwrzS1ccdWJqdKYl1o/QnQz2Iq4xD4h879w/PkLJ0nJ2oUvPfWe/8V4CrwS8DPPYNj/mPv/S94739hfX39qcfY8nCOlvYPOzFXV3tMqubUd5F6VB7nBD7sXtibN1xZ6XF5JcMj6HUU68OMUocr+VuTEm09S534LldSL1Vc38uptSNTkt285oPtGZ1U0Y8lsVKMiobNUYGSMG8M3ruwO1ESJyVL3ZgkNAzDH/FeHL0YtWdov72//8wiEN4RLe7rxZKlTkokg+soUQLnPF54zi91+dK1FV5b6zHsJtSNYdCJeON8n7fW+0xLg7eeSAnGpWYnr8ALSn1nB3XYDbR/IXR9VDItG4aZ4upKlyvLXS4thQ5wD5v7Z6nb2mGeS/aR934shPgL4JeBZSGEWuwGrgKbi4dtAteADSGEApYIAeeWF8z9UjQHmSKSgrfW+y9oVM+Wx80N33/8fhbRpAxXncNOTN1Y8ipU2gqCrMVKLz0IzO9fjV5d7ZHXQfVTAucGKY1xrC9lXB+PcNahpGJeWOIoYrWX4IHGeHqZoKNiIlkScW+dwVEP91kSOUsUpB68CDpGUQTnsiD6t9JNmC5afhovENYzyBSJEvRSxReuLLMzK2m052cvLHFhKWFcWLRzTGrD1eUOsQyKg7emFT+T3Zm/+zvDuxVrJeeHGbvzGmMd/SzmrfU+zvNIc/+sdFs7zElmH60DemEQOsDfIgSP/wL4jwgZSP858KeLp/yzxe2/XPz/X7XxhNPBq9BtCp7wBPaejXFFL1UHrTLnzqAUTCsdBM0E3J5WpEqSKcmo0NTGstSJWekFn/fOrKY2hhvjiq1JTS+JsE5ivcd6z+qi4A0v8AiKylDWjnKhYRRzj0LFXYijmtSnlAzIYsG09PQSuDDsUGmL86HSe1aFwO+5gSKWAuMFVW24MSr5aGuGFIIsjfjqG8u8fX7AjXHBuX7K1ZUuy5ll1mjUoj+zc54b05LejkIKQTdVB3UlhwXpnIdOrBACLi13zkRc4Gk4yZ3CJeCPhRAR4ULln3rv/7kQ4l3gG0KI/wn4DvBHi8f/EfC/CyE+APaA3zrBsbU8BieRAnrWeGCx3v5qe0j7OVXyoDL2k90C4zzWOayDcdnw5lqXYRbTGM+tScXFpYxhGvGD3ZyVXoJ1Di+grC2Xlzv89PaUT3dmqCii0UHzSXg4P0jYXXQteGgY+YwYBQekmaIpNa6EfqqxeKpac2mYkdceYz1Kes4NOowrzTh3dK1HyVCZvFMUnOtlDFIVdlUppCqijBzDNOF8P2G5kzCeN6iFWOHhzmsPE6SbVpqOkny0PT8zvT0eh5PMPvo+8PP3uf8jQnzh6P0V8B+f1HhanpwXXXb/ojmuWA+C4um4CFlESSRZH6TcnpTMa8NHW3MuLncYZoqbk4pZ2eB9l9V+ygdbczZHOT/aHCGFJBJBv+fGqMBau+gDULM7qRgVDf0soWocbtFD2Ys7NumwcNz9OBpzOK1YQDchjgDgWehkC8F2XlE1FuMc3kcU2tFoRy+N6CUx3YXq6fk4o9YGC0SSEJiXQdsoXqQOz2rN5dUuS534IDuoMY7deX2PIN1KN+aDrTmVtnjnSZKIYRYfXCCdld4ej0pb0dzySJxF3+iz4rhivf20w0vLYWGptOX6Xk4aR9S548JyxqwySBHcPheHKZ/sFjTW8f3rY2ZFTWU9aSTpphHzxvDB1pyisXz+Up+Vbsa3Ph2TLK5oy8agpMAZz81pRbO4+n9YbpE8XAV2yjhaoFYZSyQgTaCXxkxKjXBBzmK912He1FgvsM6x1I1RKHpZQhRJhh2Bx7E7bygaQ6YiUhXxpStLd+lJFdoSidDbeZ99KZPLy52DnbF1jq1ZxbAT84XLQ7bnNUVtcD3/3DqhPW9eLqdwS8sJcFyx3tGspa1pBQjODzIEgn4Sc2m5Qy9TrPUTxkXoo/zpbsHurEJEEa+tdekkMd/+ZO8gn76sDP/Xu1v8y3dvsT0rQmZTGtPLYkoddgoR/p4sowfxItROH5VBcvftoobac9BlrGwsswYKbZASrJfIhcvuwiAjUoq3z/fopwptLTszTaqCK2lzr2Avb4KbZ+GayxJFFkvOHXH77MfJDmcN3RyXpIualU4Site6sTpoeAPPt3DzedDuFFpaHsL9Au0783ohhZGzqE0GgtTCa2sdxkVD4yw3dgs6KgqKnRJ2ZjVxIvnR9UmQu04ihJTsFjnzSrObN0RCsJNXQb4Bj4wEo1xTVJq8vtMG09jTq276ONSHxPn2A+bh8xTktcVZh3MgHJxfyrAetmYFXkjW+hlrvYQLgw67s4rdXDNIY96+MKATK+a1Ji81RWPpJBE///rqge7R5qgIQeP7xMkOZ5d1kwixqEIOdQuext4xAi9b0sXL805aWk6Io7uB7VnF966P6CWKbhIxmmtuT0ouLmWs9GJ+cmtOqS3nBxmlNry3NWNrUrKxW7BbNvSSmFgJKmv5bDvn3Y0pP9qcUGiLkILKhErlSIbso0GSUJpQmXzYCLjHCByf5hM9kkEgbRjDz17scm4gSQhd4GIZDISKIEkkkRCksWR9kPH6SpdffHOV18/12Stqfrg5ZXdecXGYhAZEeLqxYtAJaaSH/f6PWkNwtKhxuZtQNDbE7c9QQdrj0O4UWloewtFA+8ao4LXVHiu9lK1pxaCjMDbis72CpU5Cow3f/nREWWtGeY1HIiNJXtWkEqwP9Qzv3Z6hhMA4yyivscZxda3DrboKYm7asmcckTLEhNaYhyR3HmuXcFqdGxFBsE9F0E0kXgi6aYKpKwoXpMDTVJJaRyQkt2cVwsMgjVnqJcxrw+68Zn2Y8ZU4ojaOD7Zz4iTiwqDD+jBFPMDJ9ihxsvs3vInJEvXSJl20RqGl5T4cTUHtpXdOlaK2rPWCI7yxoSI5koJJ2RAJybw2aO2YV4Z5bSgNODxlY6lqTaEdxnoqY6i0J6nCVX9pHdvzknnZUOlwXxJ7yjI0oY+OrOxnIMP0gUQEN5EkyFkYC7Pa0asMSkkqD91YcHk5Y2sGO3lFR6ngv9eOvLFcFvCDjRG9WKFkcCVtTSsSJfh4a85qN8U3njfXesCT9QC5X+bdW+cf3lLzUXjePUkeldYotLQs2D9Jp5VhnNesDzL6mWJWGd67NeXaao9+psjiiOt7Ja+fkySRpNCWvbwB57k1KXE+VL5e3ysYFxopBOPcYRzs5Q21CQ1ipBeoCLJYYT3MC8O0aKiaO4qmyt4JEp8d9aKHs/9eYgWDrmKUG7yFcVWz3EmJRFBE3cprCm1Jo4gklovGOZ5uJOikiklpmOQ501qz2svYmpb00ghtCdpS3rPaT5+qB8hJZN696J4kx3GaXY0tLc+Nw6J/VWOIpAza+caR14ZeGpM3BiEE75zvY5zj5qQkUYJPd3JmZcOb57qUxvHRds6kbNieVYxLTWkcUkikhGmhmdeWsjFYJ8iiiMvLGb04xklo9N2L/2nOGnoWWAPO+dD7ASiboIyaRSHbapDGSCERHtQirXeYKFb7Kbl2RJFga9awNauZV0HBdHcWek9cXe1wdbXLh9szvvvZiL28wXl/rADe8+KontjjjGd/rn60Pb+/LPtT0u4UWloIJ6n3sJfXfLpXMMxCMdS4aGisQxvDe7dLPt7J6aeKN891uTWu2ZrWrPVSkkiwnWvKytCLY7zzSAG9OMI6MNbhPAw7CuMsxjoq46i15aMtx86sxDtQMvjY91HAA3rjnGn2axMsLJRKCcV7HUWmFDoyOEAbFz47gjttqROTSIl2jrKyLHUiQGBMSFG1zpMbQxxJKmOZFYa8CWnA3VhRactra72DdNcnaeH6LNw+j9Ly9UGvfdI7jNYotDxXTqsfdVpqJqUmjaOFPEJYsE0nBuf4zsYYKcUiW8VwewpfvbYcKm1nNZVxWOeIpAi6RlHCpeUO40LTGEc/UxTaYRfVyHkdgstCQtc45lW4f9BXlHPDfpbmy5Byej8iglEIDYEkpbG4CC4MUiwC7SARPhiLSJBXlsJoljsxO0WDNY63z/epteP1cz2Mdcy0wzvHz13oI4Rga1rxyXbBsBMTRSL0rajD1fkb5/rHppI+aJ4+q0X5SfXEnkfXw9Z91PLcONqX4YFdyZ7wuE+znS50qDqOI8lyL8HjMS60b7w9q5kUDcM0JoslEsG0bNieN4zKht15gxTQiSO6WUg3/Wx3zqQy7Mxritpye1pxYy9ne9agBGhnqDVMKpiWFutBA402d+XKvIzeI0lon7n/GylJY8X5fkwUSaTw9DNFZ9EFr5/GDHuhxWY/jYkW31Nea6a1pp9F/PtfuMgvvbnKm+t9rBNMS8N7t2fMyppIwvlBirWeadWwOSqPTSU9bp4+jdvnME/aa+F5dD1sdwotz42TuMp5Vldu3SRmUtRo40giyXI3YXcWwr2jouELl5fwCBrriJXk4jDl/dszeplid17hxwLnPduzkhvjissrHa6sZPzr90Ij+Wv9jK1JhXcOISV5ZQ8kKrQNrhPtQ8qpimDfi7CfpfMyoYB0offdS0VwCamIbhyF9F7HgYFe7SVIBLGElW7K568MGfZi8lKTJRFJFDEuNNZ7tDFoYym15bW1LrcnFUkc3Eupiri43OH2pGQvr4/tbXDcPH1St89RnlRP7HkoFrdGoeW58axOqMM8K0MzzBRKCvLaUGpLJ4743KUluklwGSgp6S7SUhvruL6bI2Vowr6b1xSVpZNGjHKNlKESeWO34sIwozaWLFYkcURmPbVxB4v+/gmYJWBqsDakaKrF/1MF+UvgQ0q5U4ntgV6mqOcG60OG0KxsKLXgcxfOBbE/51BSIBAMspjVnuK1tT6RlLy13mcpi4NYXS/h3RsTduc1u7MGpSRfvrbMm+t9frA5Zndak9ehQ6BEMMwU11a7x86N4+bps1yUnySr6XkoFrdGoeW5cRJXOU9jaA77jfGeeW0wNmzntXU01nGt3+WdCwP++uM9dosGCewVDXuzGo/no92CSa5ZH8R0dUzROGIpUDKithbhLNo6bpUlRW2wWIyLcC7sADyh/7Dzix2BA7HYQUSEwPNZpxNBpkCasAPar1BWcfhbuxB0VzZ0Rbu82mW1jrm03A1d5jw0zvE3Xl+jl0bEi0DzSi8hiyM+f2nIrcnCAGvHuWFKEknO9VLyShNJSaktUgh6Wcy11d6x4z1unh5dlOeVYXtWsdxLYVSceIzseSgWt0ah5YE866DwSVzlPMzQPGrAcF4ZtiYl/SxGLbTz87oKQTfvyVJFXhm0d2xNSj7dK/ji5WUSAZU2fHi75sJShookVeXZTmvy0nJjWpBGklRFyEiwPTYMO7AvnbOfgVM1i7aaBANhCD/JGQ4q7Lu+jA0ZVJUNcYRuDGVjkR6G3YSlTkqiDN55bk1rvvrG2oGEyHI3Jo0jVrsp5wcpW7Ma6z0XlzoHc9FYT6wE/VTRSYOceKkt54dpUJTFs9pLMM6jtaVefPcPms/HzdPDi/IobxgVDeuDjEGmnlutwUkrFrdGoeW+nETq2+Ne5Ry9kueQKNn+CX3cCXy/9/Dh9pyOktyeViglg5qpkOSNOWiZudJLuDUpiSNFbSzaeVa6MVdXOwgEH27PON9P2ZtXbE4rrHd0UkVpHO+s9vjxzTHRlFDlnNdIIbmynIH3eMA4S3RILzoVQRUUwkJ6WOa6OMOuo31xO0VosbkfC+1lEWVjSWIYZvGinaak1gZng3T1OA8d6758bfWu7/vySpfNURGkyL1nXhmu7+VcXe0R9wQbowJt4OpK6KPcTxRZErrWjfOaq4sCxOPm88Pm6Z1FuaCfxSeaCfQiaI1Cy305qdS3R73KObygSwEb4wrwXF3pHmSDHL1yO3oC7z9//z047xjlNUUcIaUgEuKg81ltHFksqYxjlDd4D/NGM5uEnPdeIpmWmqVOwmzRUKeTxKSRpKoM4yZ8XtuzikGqQApuz2u6SWj1OKot1kE/DdkqOtHYKqz9xt8JJjdwV8rRWQoyH27uJgClIDPhdxRF9BJLFkv6nQQZWXRjKGqLkhqEwDkYdOPweWcKa/09fZCPft+TquHqao9hJwbg2mqPrWnFrUnFtdXugSTF5qign6pHns+PMk8fxXV5WlOwj+Ml8Fi2nATPI/XtOA4bpUmp6aWKXhIzLvQ9aYD7J/BRJcyj72GUN3TjoImfqghBSCkcF82iYXvIPJpXmr28QVvPMIvx3vPerRnz0tCJI4QUGBPUOpNIYgkphUVt2JqG2MFaN6aXRDgf6g+cdRjvcN5hD7XvVEB0uteIR0Jy92LSU9DPFFJCJxas9mJWBim9NCGNFBeXusRxhFt8EI22OO+4tJwFN49xDLKHX7Nq4+/6jrNF74Pzw+zYuQBPP5+PKqjCva7Lk0jBPmlao9ByXx424U+awydxbUImiorEgY79o5zQR99DYx21tUxLzbzWbI4LqsZQaUsvUeR1MD6FNljn8Z7Q2UtKhJDUJpzMV5a7NF4zLw3OO2rtiCPJ5WGHThwzqyw7uaHUoQPYzqxiNK+YFppJAdpYjAu7ghpwp3uNeCSO6pCWJsiFSGDYzXjzXB9J6CuhIujGweBfHHa5sJSyNki4tNzjXD/FOEc/jbi2dm9A+OhCG0nBxqi8a6G93zw9ifn8sFqDZ1XT8Lw5sTNcCHFNCPEXQoh3hRA/EkL814v7/74QYlMI8d3Fz9cOPefvCSE+EEL8VAjxayc1tpaH86TFNc+KwydxqiTGhYbt+20pH+WEvt97uL5X0s8US52Ec4OUW9OaWruDBiyhoYpEEOIISSQxznGuHzJdSm25tNzhcxeGNNaxk2t6meTCIGOtn9CLJZEMLSWlD/IMlQbtQJtgCMras7AveEAf8x5OO/vfgBKhg9rh24lSZElIsRUI4ij0IJjXhkob3jjX53MX+3z19VW+eHmFt9bClb11jpV+xuVFi9PD7M5rnA+/P9sr8N5TG8vWrDp2np7EfH5YT4YXvdt+Uk4ypmCA/8Z7/9dCiAHwbSHEny/+9wfe+394+MFCiC8AvwV8EbgM/EshxM9671+C66izx/NIfTuOwwHkpU7MxqhkP6awf0I/zOe7H4j+cHvGvDLMCs2go0gX/po0ilgfJFxevpO3vt+zd1Q03BxX3JpW1MZwrpdxbpBycanDvNS8vz3nzXN9jLVo65nWBi8EjfOcG2TkjeXmLMQm+h1BJCTGWiTBQBxq3PXILTVPI5IQHEewaBEKWRRSaQedGG0F3TTGi6Bqenm5yzCNyLKYqtacG2Z84fIS29MaECRKsD7ISKP7fyrTyjApalKl6MRRyDwShqI2x87Tk5rPR2MP+zuZ2jhGRY11yUG8A85Gl7YTMwre+5vAzcXfMyHEj4ErxzzlN4BveO9r4GMhxAfALwF/eVJjbDmek059e5TX3p3XaA+Xl7IQjPQQH1ONepj9IN/5QYcry4KPtuYUjebmpKSxll6qeG313vfXSxU/2JxgrCOJBN5HfLQ9D13RtOWD7TldJbA+uJhuLYLLzjlqY9mda15b7bAlw6JZa08ceazloHXnoqAXOLtSFjFh8S8dDCLoZxHOLbrGKYijoII67CjWejG9JATyL6/1GGYx25Oa3XnNOG+IY8kwi3l9IVbXGHffIHDRaKSQxIuFNVaCLImJIu4JSh/luAX8WQSB/3/23ixGsiy97/ud7S5xY809qyqrq9eZbnKGnAEhEhjIkKEnGaIJGoYgP0heBNMPJAQCfrDNF9kQBOhBliHYgAAaMiwCAmQBEmwZEGDYAmRDgkmLHFKc4UzPsKe7q2vLyiX2uPs9xw8nMiurKitr6cpmVXf8gURk3Lj3xo3tfOd83//7/x9lu1kbnDKjTiirL7vR7DLwhbCPhBA3gG8BvwN8B/g1IcRfBn4Xv5oY4QPGb5857DYXB5EVvuT4vEHpUQaV0oLp1AeDt9c61I3jcFZwpf/wcwwXJYEEISTWOgIp0UoyS0uSIGaaFlgruLHZpq4tRWMpK0taWnACoxxGSQIjmaR+oSuFpWbZrCaXAWEZDV5Xs5wGHxjA+yzXTYNzYALot0MG7QgXW6wTS+kK2O5GNI3zwoBYQiWprKO1LPyf4EkNiC2jmdQVVePrTLV1WOfoGPPYvhfhMijXj37fOrFvlJvkJUqK18al7dKDghCiDfxj4Nedc1MhxN8F/jr+t/DXgf8W+E+e43y/AvwKwPXr11/+Ba/wSuJFqH1FbZEC9if+uKNZgXUPTNeLpuFwVmLtw70P9ycZ/Va41M2Bg1nOjvSrlBsbbf7ozoRbR3N+79Njbh6nBEqQRNrLYFjQ0vHJcMF4Vp36IdTlgxXB/DXuPTjTQoHAW4RifQ0hNJBVfp92oEiMJHOO62stvv3GgO/eGjFOK9IqIzKKjtF882qfGxtt3HIJNU5LdnrxY2mWk89/nPqUXNU0VI0faDfaIXHwfAPtZVCuz6OoegaWeOoq5lXCpSa3hBAGHxD+gXPunwA45+475xrnnAX+R3yKCOAOsHfm8GvLbQ/BOfebzrmfc8793Obm5mVe/gqvCJ6X2ney/+1hyu9/Nj7VMrLOS0hIvHXm0axgpxsSGvnQOYUQFI0vXt4epdwb52RVzTAtuHm8YJqVfDZMGc5LbGMpq4aqdryx3qKTGIZZjbA+x34Cy+u7IjgLxYNBw+F7CkMgDqGfRKwlGq0Ew0VFsKzppGXNT45m3DzMcNax2QowUpBVNVHg9YvKpsFZR141jxWBz37+u/0Yi6OsHVudkLUkRAieu2D8J0FRfV1wmewjAfw94IfOub99Zvvumd1+Gfj+8v9/CvxFIUQohHgTeBf4/y7r+lZ49fAkCeznofadHUBCI3HOcTjNKerGHy9hoxvQDg1X+y2iwNtrnj1nL9LcGnp55VAJqtry3c9GHEwzfnB3wof3Z4zzispalJLMyprhouTDOxN+dHdMXlZ0WobmTMx6XesGZ6GBduSTPAII8P9YoBMFXFuLWUtCOqFGa8FaHDDJK7SSHIwL+i3FompoRYbdbszVQcx3bw75/c9GHM4LxlmFczzG4jn7+ceBZm8tIdSS/Ul+odrpRfiToKi+LrjM9NF3gL8EfE8I8QfLbb8B/AdCiJ/FTzQ+Bf4zAOfcHwkh/hHwA3zK9VdXzKOvDi7K8T6P6N2jAWSnG/LpMOPw1pjtXkRoFPuTHGsdrUDTCjTX11sPnTMMNN1IM16U5HXD/VnGNKvYaIV0Is0irRgvSpSUxEYynFnSqqLBkpc1zkGg1JciEJxFDZTVg4FUKk83lQ6EEsRaMRWCQBuSUFA0lm5k2OpF3Bt5N7u1jpcR2elE/OtPhkjpFWoXRcO9ScqffX+Hnd7DVNRHP/+TBrW0fPGi7WXocP1JM/ZeFi6TffQvOZ9t988uOOZvAH/jsq5phefDOC1P6ZztSPP2ZueUsvmycVGO93nUVc8OIA7HvWmBEniZawuHs5xBO8RIQWUt7kxS5+Sc06xCSa+tA77wvNUOkcpfh12uVg6mOY3zqQyjJaEEqyV52bA/zV7r/oOzOFtHyJZxONKw2Q5Y74TsTxY451M/xgiMVry12cbiuNqP2O3FREpxOCuoq4afHM6ZpSVRKFlPQsrGoZWgZTT/+uNjvn1j7aGa0WWo635RFNXXESvtoxXOxTgt+Z2fHFE5hwRmRc3RtODn3964lMBw0WrgSj9+5lnd2QGkqi3DRUmsJUmgGOclee0VM6+vJ+xPMgSC0aJgvR2dnvPW8YJZXrPVi1ECbh4vSIuavLYICVlRcTDNCQNF01iq2jIvvHSG0ZI7wxL7WqkWXYyToVgBvdDXSiwQGclbWx2kczgkvVZAWCiEclxbS7g7Tr1vcmPZHUTcGS8oG4tyglneEAWCn7raoxMZDqYF7UgzL+rHtK0uy0PgyzCAXwZWQWGFc/Hh3QmLsqHXClDLxqRJWvLh3Qm/8M7LL/BfNBt8nlnd2QFknFZstUPmZUVkNJWt2OoGfHq0IDSKqmqY5DWzoubdbcfbm148rWgs1nqefGMdTWP5+GhBqBWNdRwuvJeCkpJ5XtNYz8nPS0ttLSVfrh/WSXhTQBTqpWWolxePlODGZpdOpE5FBd/ZbLPeiehEhh/enRAFBZGWvLGWcGeSs9UJUUrQjwzWwiTzelZVbWmHD1RHT5hAX5a0zOuCL9N3d4WXiLuTnM7SjQyWMgaR5u4kv5Tne9ps8FlndWcHkHK5+ri23iPUilujBfdGKXqpvDrKaqqm4c2NhK1OzN1RynBRcm/sawitUKOkoGkc87ImrxvU1JGX3lPZN6w5JvOKvIbaVhTLnFEcwKy8lLfqC8VJx3KNTxld7cbcnxfkVY11DoQk0pbvvLvF7dGCSVpRW++XsN2NmOUlZe04XpR0I82f3trg3e0uRdXw3ZsjPj2aIwQYJTFS8K031oDP78i3wotj4d505gAAIABJREFUFRRWOBdGCq81dOYbUjcOIx8vE70MeeDzZoPr7fBznXc9Cbg/zamWOeuDacEoq1hvSz68N2OalRxMCz7cn3NtLUYLb8hyZ5gyXBSEWtFvBXw2TAmkIIkDulFAEhp0VVNZn05q8OmUsnqgY5S/ZgHB4K89Ep62e9JKcaJdlJdeArsBenGIUT5ddG0Q0Y8D76msNUnk+PRwwcdHC76+2+HtjTbWwUYnPPWvOPkM+y1DvRQUtA7WO54IAOerjZ41RPr9m0P6SUg30q+FHPXrhFVQWOFcvLPd4Xt3xgghCLWgqB2zouIbV/sP7fcyO0PPrgZe9Lxnj9vpRdwap8ymGRudkKKqEQ66YcCt4ZxPjuZ0I0M7NOyPMz46mPHTV3p0Y8NnxykjW6GEYFpU5GUJwq8avGlL7f2cy/q0W7cVgs39gPqqFZnPFovPg2Np/6nAaB8EQg1RoGgFmqIuSGLjqagSXCB5b7vNTi9muCj4Vx8dMUlLPjma4azzUhVNw34n4hd/5gpf3+09ZI5zMMtpR5r3r/QA2J/kCGA4L9joRA+tEs+SEPKq4XjJ/MrLmnaovxC3s68SXq+uihW+MLy52ead7Q7WOcZZhXWOd7Y7vPlIZ+ZlyQO/6HkfGkBqyztbHa6tJ2gp6bYCbmy06bcMVWPZ6sR045DGwjyr6cWG47QiLRu2exGd0HAwLzFSMcka5kVFEgqM9HaPWgga6wdb66BqHsywXzVcFBAUXk+qwReVN9shrcDbaIZaEBrF3lrMWxtdWoEhChXvbne5NmiRl5Y/vDWhcZa0LDmclRylJXVjSfOGj+/P+eRo8ZiiaF1bri0H8sj4AB5owTSvLlQbHaflsl9BUVn32shRv05YrRRWOBeRUXyw22O7E12YvnmeHoLnwYue9+xxJz4MRkoy2xBphXOWrPB+BgJH03gHtdJaJDDNK6qmYZ7XtIxCK82RFBglKSrH/rQkqxp6kWEtCcmqmrx0CMC+wo0JAUtXt/MeU9CNFPmiwTqIA58GCrTj6iBhqxOSV463t9sYJRhlFYmS7PQi7owzYqPZ6oR8eHfKRmKoHSAlG72Qomz4vU+H/PK39x5aCYbad5GfwLOMIjY70WO1o7MkhKK2p+qoJzLqq/rDy8UqKKzwRDxLcfcyOOTPe96zNY1RWmBtQCc2gOPepMBISSfU1NYxShsCDe1Qk5a1LxRn5XLfHIegsZZZXjHJK1pGkRYNjfPXEmpJWoISAikljXM0QCvwxfil/h0n4exVGaqU5onLmKyBsLEMQgiMoRcHdKKAVqCQWvL1qz1mWUVW1NRastU2bHQiH0yrBe/vdkirhrSsibVkLTYUjaMfByxcwTR7PJn2PDTTs/sGSpCVDQ532uT2OkpJvMpYvZMrfC5cVmv/o+edZhW3hgumWfWQBMajukjdyMsVz5aSCWlRcX+asShrqrphkpUczHICI/jJwYzjRUkSKIqy4c4kpx1qcA13hgsWeUXbKKqmYbaoEQKcE8sfjUAKCI0mMV4DyOF1gMAHg5cZEEJKdjniBnfZ5YjwifP+83EOP+AhxMb7TKwlhkESstuL2WyH9GLD3iChrBuc8H4WgdIM5xWxkXRiQ1FbNrsRe4MYKQVF49M6Rd0wKy1X+9Fjz/c0g5on7RtqRW0ta0lIqOVrKyXxKmMVFL5ieJK+0IvieX7cL3reUVpxNMvZ6kQMkuAh8bpHaw/d2HBtKVc8zSqM8l2zZtmNPE9ryrrBSMmVXkRZW6Z5wzSv+eBKl81OwDS3dJOQXivgKC0JtMIKmGU13VBhhWCYFSzKGgU+WODz8eHzKTg/E0JKrnCExJISIbFcec7AkD4yWX8sReAasqZhkAS0AklW1RwsCrY6AcNFgXCCTmiIA8UkrXDOklcN19cSPhulVFXNT1/t4YRgUVS0A0le1CSh4s+8v33uNT3JW/uifd+/0uPbS4e8l/l9W+EBVumjrxAuQ0MeLq8z9PS8o5R2qM+VwHhUHjvUkkhLqtr3EwRGsduLCbXiw3sT1jshSaQpa8cHVwc0zqGloGkssVYIJTFK0YscWinKxlFVDS0F86Lm0+OUtKpoBRIJbHVCRmmN81YKFMsUzdPYPs+DNaaUaKqle8HJ7RpT7rHxTOfohTA+U4s9e20CWEsiSufrLqGWLAQEUlKVlptHC/otwztbXQItaYWaWVqxP8n59htr/Llv7PLp0ZxOHPCn3lijqGuckHQjzTf2+vzM3tpLeic8Vp3Il4tVUPgK4TI05F8mntTvcF7RubGWO5OcomoYZhW7vYgk0CzKmu/dmdAONEXdkKcNRWV5Y73FJKsIjSTUiqqpGKcVt8cpo3mFEI4pEIeG2jVUjaWswRhFYRuKBlpa8OZmzMeHlkVRo5UiiTRJmDLPHUUDxbJ42g1g/JJ6FUJKUh5OwVRoWjxbI6EEv5w5o/N0EhQCoBdL3tvtIgCJ5N2dPndGMwZxhNaSyaJc2o423J/lJIGiExs6sWG3H+OcY6cb89Zm+6X0rKzwJ4tVUPgK4bKYQi8DF61iHi0651XD7VHmVwWBopxm/OjejEGiGaU106ygH3foRCGjRcXtUcrxPMcCidC+yFxU/P7NEeAIjUIryb/5bMJa21BUNfdGBaEW7PRixouSsoZBN2CWNzgEzlrujhY0zpHVXh/KGEG2lGN+mW9pQYChPl0hABhqCp5Ng0oCsVHkRU3u/Mog0Z5y6oD1bkA7MpRlSS8J6MealukxzSusg15iGKUV06wiCRR51TBaVLy/2wFgntdM8pKPD1kFgi8BVjWFrxCeV0P+ovrDy65NXNSX8GjR+WCWA46tbkTVWKQQzIqKTw4X3DqaE0iJcxCHimFaIHGkRc16HHB7uMA6x71x5usAUrLWDmkahxOWg2lOUVmcgKx03J2klBUEAcRa0woVyjkWJeSVZZo50soHgTiQp8P253w7HsKQLgE1hgpwGCoCaoZ0n+n4muUPffnRB/gGtUBBEniZ70AJciuIlKS2lsNZzsG0oBNqhBAoCVllCbSkdtCNvE/ybEkA6C7ZSo8aIL3s78kKl49VUPgK4XmYQhe5nT2vE9qz4CInrIsanyZZxaJo2O6EbHVjeq2ARdkwyyumWY1zjnnRMEorKgvX1lvcHaZ8eH9Gr6V5Z7vNdjfiOC0wwks39OOAOFAo7QfMJJLUDRxMF9weZhwtSkoLtX3AMCqB0bzhJL6+zI7mgoC7bGCRtMixSO6yceFKQQBna95SCaTy20IDSWCIQslGN8ZIgRKCfmzY7sUcLyrSsmanFyGkQEtFvBQm3OnFfLDT4cZmh7xqmOQl19YSurF5LJhfxvdkhcvHhekjIcT/zgUugs65f/elX9EKz4QXyd0+j9rkRfUHf//l1iae1pfwpMansnYoyVKpVDBIAu6NUu9pMEnJK0sSqmUnc8CP9ieUjTeKP2k267d8WijQfjA9TEtc404tPOPQcLgovJeAyJkuR3yzTMGclA4y+6A/4URL6GWhILiwqBxJTv2gwf9oLSzrBD64hboiVNCKDO9f6TLJGw4nBY3xe7631WGrG7EoKowUxIGirC2BEaSFoKr9YB4aRRJo4uD8es9JSvJVr2GtcD6eVlP4W1/IVazwXPg8LKJnZW48rf7wsmsT6+2Qjw9mLKoGax1SChKjeGurc+6+Z5uZYqPZn+ZERhKHiq1ejHUwnOVoLeknIRudkP1JxuG0INaSn7ra5bufjfjBnYrJoiQvamZlxWZbkxUV1oIUkjDQ5FV1OjNanKntFuXjM6azpvZn8XCZ9+WhbSCrIDKgalgsPwKDD1D5cp8bGzFV7VdMgVI0Fpra0Y0kb20kvLHeZlEUKBVjtGKtLU+9DZKlZLhWEGlJXlmG88VS0bR+YjB/lWtYKzwZFwYF59z//UVdyArPji9iBva0mftldDG7E8I/gFvePwdnVzyBltwepuytt+hGhqKyHM1zbvRb3DOSorJsLJ3WPhumBErSbYfsDlpcmxXcHmfcHad0Ys28rDBKERnNvKyZF5ZQW4ZzP9QboJ8o7s+X+fJzRvkTmWkLRHDKD3pZAeGxxmQHsfHS09JZ8savDKSAQENTQTvyEh1GSdqhYj3xaadBomkHEa3IsN4xaOXIS8t6Yrg3LoiN5spmxHBRsdb23st57esKgyRhUdQXdiYfz4tL+Z6scLl4Wvroe1ycPvrmS7+iFZ6KL2IG9jQZgpfthHU8L+hGho0z9Y2ytk8MdCeBoaga5FLmO68apBCst0NCI9ntxxzMcmwDGQ1V1RAahVFwa5jSjjR7g5hZXrPRiZBCkBYVUgiEAxOAUA/SQK0AhJBomicK352sFGq87MXLXh6cfd4QX9xOS0s/McRa083KJfVWEwaCN0ONE4p2y3AFgcOvwtqhZp7X3J/nzMuaP7g15M31Du1Q02uFFJXFKEljHVlVs9sNeWNpQgTgnCMtmwtTkpflmLbC5eJp6aM//4VcxQrPhcvSGzqLp9UfXrYT1gsHOiF4e7PNJKsoags4JmnF/jRnPQmoKstwtqCfBCSRYpL6QWmaeTOd2+OMXhRQVBWBhLgT0o4Md6cpQkA3MBxO5xTLBL219olNaWcb1gSgJIjmgSz1y0yaCCAMoBsH5GXOeF6QGUtWVRgt6bYMAkeoFW9u9fjWGwMmecnvfjxESW9P+pOjBco53lxv0dTwvbsTbqy3eH+3y5sbyWnNSitBNwoe+nyfVO85i5Vj2uuJp6WPbr7oiYUQe8BvAdv438VvOuf+jhBiDfhfgBvAp8BfcM6NhBAC+DvAvwOkwH/knPvuiz7/lxmXNgOrMlgcQZ2DjoiSjYf8DR4tbL/MGd+LBrqTovOJONqnx3NujzLuTzNwjqxq6CchW0ry5kaHTw5nWOfYH3uapFaKJPRsmXFW8uZGRDcS9GLN0aIi1IIb6zGfjTPKGmzTPDEonN0e4C1MT17NyQ/tRQLDSUAxeL+DuvH38woWZUWgQEpFN9JM8opYCbqBAiG5O8t5e9ux3Y04mudc67fotQI+PJiymYRs9yOiULPTb3E8z/nR/pyff3vzEW8L75FdLhliz/N9W3Ufv354pqmlEGImhJgu/3IhRCOEmD7lsBr4z51zHwC/APyqEOID4L8E/rlz7l3gny/vA/w54N3l368Af/cFXs9XApeiN1RlMP7M6z+bxN+OP4Mq+0KohU+jyz6J7/7ocT+6N+WH98a0jCY0GqUkNw8W3BotiI3mZ64PiIxinNZoLVlLAorKIiXLgv2CYVowTEs6oeL93S4/c31AogWxgU704D3uBBCfKXsIHgz+Uvn7fu3iGUov+m6dHNeJfK3ghFUUGe+Gl9cQGYnWiqv9FqFRjLKa7W7EuxstPjpK+fH+lINJzts7bf701zbZSEJ++mqHTqRZFF7sb28QMznHMu6y9K1WeDXxTB3NzrlTCshyRv9L+IH+omPuAfeW/8+EED8Eri6P/TPL3f4+8C+A/2K5/beccw74bSFEXwixuzzPCo/gpc/AFkegItBL7vvJ7eKIY7d+6YXti1INedU8xkyapCVvbXUeO+7m0YLtTkwvCdgf+3pCFCj2Jzlf3+kzS3Mio3BS0A4NVW0pBFS1JdQCh/dentmasrbcGacUtePtrQ6TvEYKyXA+930ASoBzRDWUzhvVdCPBLHPY5mFKqubZKardANLyQf0glt7tTEmFtc3pqsE6n3azANI38CVGstuJscA7Ox0+O5pTTIrTRr+TGkcv1pS1JdaapKdZSwLGi5L19vm9D6sZ/1cHzy1zsRy0/1chxF/jwSz/QgghbgDfAn4H2D4z0O/j00vgA8atM4fdXm57KCgIIX4Fv5Lg+vXrz3v5KzwJde5XCGehDFQLCvfFUAufNPDcHaXsT3Mq606DwkwKoiVl9exxvdggJNSNpWhqysaS1zXWQl7X3BzmaA1lUXGcVfTigL1+TF03TLOS9bbhxmbC798csz/NuD+T1M4ikHxwpcc7my1mecnhuGSUudM6cgB0YkFkDLO8pBsL5oXzvQ2AElA9a9HZ+SK1wgeZVmQ4nJW0pLfItKVfPSjpPwdR+zRZRxuG85KZqRnEITcPU44XJe/tdHhnq8NaEvCHt0d8drTgG1f7/J8/uE8gKz640mG8KBllJb/89Wuf6zNcaR+9/njW9NG/d+bv3xdC/E14NjUuIUQb+MfArzvnHko5LQPMc/EznHO/6Zz7Oefcz21ubj7PoStcBB15/uJZNBXo6LnlMZ4HzyKDcGuYMstrtJTERqGlZJbX3Bqmj+17Y7ONtTCaFxzPCvYnOVUNV/oRw3nJPC8JlGK9ExFIgXWOaeG9mAftkNBo/vD2lHvjjFApv08DeVEyWZRUFiKjSXn4i1sCRe2Y5yWxhnYU4M7UFJqnfMvPzs7SytNdGwdJ5KXCpYBF0VA1PhgkIQySkJ1eC2nANZZerCgbyzSv0BKOFwUSwVtbbe6MMxoLX9vuMi0q4kDxb399i7e3O4zzhsAIfvlb17ix0X7iNT4Nqw7mLweedaXwi2f+r/EF4l962kFCCIMPCP/AOfdPlpvvn6SFhBC7wMFy+x1g78zh15bbVvgikGz4GgL4FUJTQZND5zrrBJdS2H7WJrxpXhEoiV46xWgBgZJM88cTMt+81ucHt8eUDdjGC9XN85rAKO5NUrZ6ERvtkDhQ9GPD/WnBomwYJCGBVmx0glPP4aoRdNoBFsmwqtifZHyt6jLOc98lLMFZOFGkXpReaE5IcDjcsvJsACOhOlOJfpStqpbbYuN1k5SFMOQ052+kIA4VoVIsigqBb9xTwtNLO5GhFRuuyw6TrKBoLFuR4vpai1ArIi2prSOvLW+ut/m3vrb1uT6787DqYP5y4FlrCv/x8554WXv4e8APnXN/+8xD/xT4D4G/ubz9385s/zUhxD8Efh6YrOoJXyBMDP3rvrZQLUBH5NFVjueOos4QwsscVI14adTCZx1EunHAOC0IGnUqaTEvKqSQfHw49zs5B0JwMMl4Y6PNzdGcwlqKyrLZj1BCUFvH8TRHK4mWCgcEgcLhiENFUdWkteX+NMU2lkbDKPVFWL1Ml1XWssgtPQPKSMapH+nF8q8VSYZzyyQtUUvaUI2vN5wNBIF4ILMdAHHgC8hJqMhLvyLQAg5nBUoJQuNrIJudkMOZZFGUFJVFCMveIOadnT6VbahrUDKhtvDNq30OpjlZubxGIZbexk+xYXtBrDqYvxx4WvPaf8/FzWt/9YLDvwP8JeB7Qog/WG77DXww+EdCiL8C3AT+wvKxf4ano36Ep6Q+dyBa4XPCxND3i7UHs3hOZ/Fl3XC1Hz9XMHg0x5yEfuZb1F6RdKcXcTaLed4gsjeIqa2lbixl4zzjprG8tR4jBXx4b8LdSU4SaD47XiAFXOsnVLUPMFlZcfPI0U8MdyY5k7yhG2t+fG8OwrE3iBnNC4ZpxZutEKUks6JBNRVV42mY86JhI1Fst0M0Pl3UUZKTrgWHz/NXy8LvNPev6uTHUzQP/tfLV5xQMmDKWlhSEXKv6iDjFp044HheMs8hDGq6S39po73gnFYCKSRJqGiHmtgYtroho7Silp611YsNa+2AvKpYVDXZssmvE2uK2vLx4fzl5fyXVObWbEwjQ3Rn03+XWHUwv4542krhd8/8/98Af+1ZT+yc+5c8LgFzgj97zv4O+NVnPf8Kl4uXkQp4ND00z2t+vD/l2lpCJ9IoKbg9ythbe7DqOG8QuTJokVfNKfvoeFFytRtxbS3h1tGcW6Oc2EiU9O5ow0WJNgrrfDduXTkENVUtOV6UVLVjXlSUjZeNswimuTeDnxc1LaM5qiusAOsarAXbQBxoKufY6kV8dJRTVfVDvQkGSIsHPQWheiChrQVIx1L8GgwlOxxRoEldRCBqduwR42KDQkZYtywmC+jGhmFqaaxgUdQ46+jEAV/bbrPVjfjR/oyDabGUt64RSN7f7RAYxVonwkh5Su2dZyWtSL88570TKrOK6Pf67I+myNFniMEelYhWHcyvIZ7WvPb3T/4XQvz62fsrfLnxMlIBx/MC52C48CuFaVZ5q8eiphsbtroRt4YLDmY5e4PWE2sVJyyjkxWHtY7d5Yrl06E32ykqyygtKRuLloKDcY5zFi0ktWxwQjDKamKtiIyico5uS2KkF5gOtGQyydhvPHMpND5NpQQEgaajSzbdMf2s5o1gyoGQLNzD9E0J1MvlgJEPfJtPVgxGQ1X7H92WnlJWmgZDL1BUtfTidc2UQxcghe9DSELDZifyr0uAkksZD63YHbT41vU1YqO5M0nZaEf0QsNmL2K3F/tVhfS+1XuDFreGKYHRbHWipcz1S8j5n6EyR8DOWo/RdE4xOUAPrq/6GV5DPA8l9TJEHld4RfE8HcZPoiFOs2qpw6OIjeJwWlBUzXL56Af1a4MW98bZuTIITzpvqCVZ2bA/ybg1XIBzdGJDEmiSwKucZnWDAiyOyGiSSDNczqalEjRFg5aK0CiysiFQggYfsMrGERtJXlsiY+jrhk52n/HM8Ht3Au4Op7wT1czjXe7MBfPyQYPaKSQ0zQOBPOl82SMRvo7fkTVDFxBLcNahlQCt6auSuTFI53DLWoaQguv9mNIJ2pGhG2m6scFZX3B/Z7tNO9J8551NRmnJZieiE2mqxtGez0iqQ8r7BTIX7G3tPjRIf+6c/yNU5kgrdgddX5darRBeS6ySfSuci0c7hWdZxe3hgmlen+usdR4NMa1qpBAY5d3U4uXjWf1gEFJScn094a3N9mMB4UnnTULNR4dzbg1Tqrrh/jTncF4SaMlaEiKlz7srIcgrR1U3uMZRNA3H84qialASxotimXYRCCFoHPQTQ6+lqSyIJRU0LI45yhWNDLEOKmdYVJpNmdIJDfHSvOako/mEmRQsXW5CoBtB2ygavHqpFQFtVdM4SCuLFdBVNU0Q0YsUjbUghH89wLisSbSgGyoWZUNZ18SBpGosVQ0fXO3x/pUe335jjVagfOdxk/GWGfHGIOb69iZXugHB/K5P+SzxuXP+F1CZV3g9ceG34ay8BfDNM1IXs2eQuVjhFcSz2iOelTYYLUoOZjkbnYhByzw0QF9ko9kKDNZZqmVgaQWKsm7QUj7V+e2i8w4XJYEEoyUbnZh2pGkar6hqtPdX2FtLWOuEp8Y5kRG0jKJxFqRgrRWileT+ZMHN4wX3ZwWD2NA4mGU1WW5pHBRVQ5FnVFYDlmlWoxUsGs1iPqNqaurGP0cv8kqqEjBa0I00WniKqpSSKFyuuhzsuzZ1USOainakGAQQiobSeBkOFUi08M8/L2rSoiGONFf6ETjLZ0cZk7Ti3jjDWssgDvj4cH5qX/rWZpurJiUKY9+dLgSDbpsCTT07fOr7/8xINjx1uS79Uqgu/f3kyYZAK7zaeFpN4XGHkxVeWzyvOc+DTuGUdmTOLTpfVHvoRhotfXE0q7zM8td2uxR181TVzIvOe3+S0W+FBEZhpGSrG/LR/Rn3Jzl7Gwnfut6jdoI/XpS0tKLXCokDSV45bOO8LlIgyWvHRieiE2vS0nJ7lLLTjamdRSpfU2gFkqwMMLLGouhEmtJG1OWMWa2ptUNKL1TXj0MK6wh1TRRq2oEhNpqsrnFOEBpJJ65phQFNLbiXb7DupsTkCJVwqLa5Meiz04sJjxbUzrHdDslr69lGkWG9E1M1MMm9WF830gjlV2OPfabnpHZ2Bl3Gk/HLUy09h8pM5/op+2iF1w/PLXOxwuuL43mBdf62bCyB8hTRpxUaLxqgL6o9rLdD8lHKejt8qOntna3OUweii84rhDjltcWBZHS/JA4VkZFIB3fHGT97fY3jeU4n0uRLw/mNbshmN1i6jlmu9n2Ko7KWqq7BOdKypmoalIBGQOMcU9llsz7C1SBoE7marrbcZYCSknboaEeGODKsa8VwlqK0ZLsdMClqOkJzrZ9wd5zSMp5eepA3mDgg09vcEpJrrRZXEhBSUjaWa2sxsVHUDQRVzW4vAufTbbuDmGsi9kypSBNpxaKs6cTm4eLxSWpHPyiIR8Kys9aH/ot3Lj+GM1Tmx/CI8i7JxipgvOJY1RS+QpjmNcfzHOcgNgrn4HieM82X0mtVBuNbcPTH/naZe75I5uIiddNnUdd8VvXTs+fd6oS+kayxjBclzuvS0U8CGhyVg+/fHXNvnHE4zTFK0IkM1wYtqsYSGsX+rMBaS2AUNzbbNM4tG9RqnPWy1AKw1uFUyCdug7SUzGdTDhcVd+wau1vr/PSVHv0kxCFwTUMnlDgp0EJQOcc4LwmU5q3NhMrCOK/Y6oR0Y00rNNSNo64tWknakaFlFINWgBaCltHs9kK6cUBW+t6DbuSptkeLkrK23B1lHM1zZme6u40S3lvinNROXmTcqVpPTR++FFygvLvCq4tVUPgy4gmDe1r6LmCznG0bLZFCkpbVhT/gzzPwnzz+aCEZLi4mP3reqm4QQnB37F9LK1TU1nJvkpOEijc3Onzj2oC1JORgnPHJYUpkJMNFxXc/HfFHd8bcG6fYBnqRwTlHbv3KoCwbPzg6MEphlERrnz4qaouSgAgY6g0myXUmwRYiTtBCYoz0JjrSIpwjryydyPCzbwz4+pUBv/DmGpEWfP/OFImlZdTy9WqmeUVRehObsnb88cGcdmwYtAKkEEyLCoRgox36greUjNOK+5OCunHc2GgTBYqjWcE4exAUTovHJ6kdKaFakFu469awKv5itInOKu8K4W9V5Lev8MpilT76suFMMxEm8emD8WfQv07LaCa179LV0ss+WOfoGHOhdHbU37vQQetFZZWf1iB3ct7TWoiSp2moSDVEsaYXG7/dSA5nhZe9EBIjBKEx5E2Kw5HXNVll0Vrw5kbCMC358N6EKDLU1hIqxVGes9HRviFtyTzqRAqlFU1d0u+EfONKn+8LyTQtMUoQSsWVTsSsrDFGEwXIVahkAAAgAElEQVSK7V6EczBa5NSN4+3tDhLBehLwk6MpVW39cwqB1QKjFUI41hJD3XhGklaSTuRfWzcOaEeaxGgOFzmB8sJ/7VB7GfFFRVY0OOce7/U4k9o5HqWYiC9Om+gC5d0VXl2sgsKXDRcM7t14HaMki9IXfkMtT8XhqHNyETGaZKf1hkHL+GIll6On/6wNcucFj07sG7w+uNrje7dGGK0IjSTNK4rFnDc7GeVRzo4V5HEftBfAC7Ukqxvev9IlUILjRck4q+m1DJNMk9cNVeO8laaAVmBQSrC23sIYhdSSjXZAP1I4BFYI1johA3xaq6odo7REIEmM47Co+Oj+grWWJgw0V/sJQgjy2nFloIgCiRKK9U4AzmKU5hvX+gwXOfsT/95v90J2ezGDVsCtoQ9yWWl9H4VWfG23wyyrP1fx/lJwTk1jRVd99bEKCl82XDA7W+95G8+15OHC73o7JJ8E7I+mmMAXOKvGsT+astNvc1k/4WdtkLuw0K0k653I6yFVDZGs6KgjNAn3K0ViHGviCNve48qgRVE23J8WvLfd4Y2NNhudCmfhR/sz0rImMppOqNkfZ9R4Omk70CzqirWohXOOSCvGecVmv8WgpRnOS7SSvLXV5d4o5XCW0438rL+2lkVRERpBtxWQVfDedodWICkaR1FZtjshDqiso2UkvZZhVlS0I4MC+nGAEL6Tuaga7k5yBklwutpbFDUfXOny1ubFxeMvwtv7IVygvLvCq4tVUPiy4YLZWWQUV9uC0eFtyiLDhDGbm1eIjOKOaxMyRosaMASiRlJz7NpcvaRLfVav6VB7/wTfbfyANdUKFEVteXuzzSSrKGrLe0nBYd0ijlv0mpyqbpjklrV8SFVvMC1KQqNph4pZJrg9LxFScDjPudKP6UYBB4EirxylrRHO0Yk0w2GJcI5ICsq6wQrJ9UFMKzKEWlPVjvvjlLJx7A1aWCy3JxlV1XB1vUU30Ly73eXuZEFZWTY7ET85WHClH/HWZpvPhhmzWc5PXen6NNBSLyMMvK+ncP7+WR2osvaGQ+tBwxU5hKP9Cxk+l+bt/SSs6KqvJVZB4cuGi2ZnVUa0uMNuJ/KUxKaCxR0w1ykIaQ32cNkQWaVYHSIGexT2fHvGF8V50hWL4vzUx8m+h7OCjw6m7HRbdGNPMR0tFnzrjTWgxjrY6fmBRg4NQdBlktdESnA4rdlIQtbDpcpqmvLBRgPHh9y5k5G01glib8yTFjXX1xOO5wVXBrFnHznLoBUSBIZQCZJWwFUEtW3IqpobGwll1bBwzbKA7yhrx94goWocRdkQaMFOr8VuLyY0AoXg/at9Pr4/43BWMMkqWqHk5zfW2dtocX9a0I0N1wZeCmS3H1PW9jT3f1YHKqRgPb9HtMg9OUBKyEaw8e5jg+9FlqeXhovoqiu8klgFhdcVT+J/XzQ7G996Yr0h1OtULiLoXjs1iq/zBXF2F47ExRzzZ+Sin9c8d7ao/KR9nXNsd5em8sIbz6wlCYuiZr0d8pPDOWlRY51jUSt6oeX65oD744IonDOcLPh4BF055KeSOW+sbXCUOrbaFcYOmbmAq4OYm8cLPj6YM81LpJSUtWWnG5HWlr1+gFKKb17tc2+ccW+SMpwXDBcVi6IB6WhHmrp23M4qatuw2QlZlA2Hk5xpXjFMc3pxQHE6IEc4YF7WtALFVjfiSq/lWVBSUlnLIPGf0dnc/0P1naN7UI7BtL2uRlNBegyTGDbePTcIr1RLV7gIK0rq64in8b9PZmcb7/rbkwG6zv3q4SyUgTp/jHZa5Qvs4Y8Z1IcwO4DJbU9xfZRj/hxc9IukKy7at7KOfivgSr9FJ9Ls9Ly0RVEvzWPO+F62uttoV9IPoB1KImHZTQTvvfUGbyUli0Zwc1zz/TsTrz/UbrEXZbx/pYtSMEpLAimYZCVCwNd22qy3NAeTmna0fO8E1A3sDFreqMcIb92pFVGg2e6GjBZeHm9RVHz9Soe9tRZGKf7o9oSstnxyOOe3PxmxKEre3kzY6cZMFiXzvMI53zS303vgXfFQ7v8s5fjeH4LQoM1SfMmATmC2v7LHXOGFsFopvI64gGF04VL9afWGM6mFeH6XDZ0Rmc6DNNSZGeiLXMvzsF/O7hsoSd345rJsOaDN85pJXnJ/kqG1ZKsTLQfQNvNuyHx0n8PjEa0wYG3vBjpsoUYTbk40h7OcVqipG8dxChtRxrTq8PZGl2le0osN0ShFC8FHRylrkeFwVpAVNbeHC+5Nc6QUvL/T5d/cGhNqwUbHeyCEgaSsFY2Fq4OY0CiUkFjH0o1N0Ao0w7SkHSoqKziel1xb8+SAtKr52esD7oxSpBCP00wfpRw7C/P7oAIwSw2jZYBc2WOu8CJYBYXXBWdTNLN96D5S/r2I/50O4egjWBz682y8C8nmY2yQh9IS8zFEbT/zBH/r/Az0oaDwHFz089gvs7xmmpd8fMhj8tgn+w6SgP1JRtV4D4BZVnFruODaWsKwKVBCsD/xLm6RUSTtDiJo0ZGbzLOS4wKaLKMe1whbk1Uhnchwd5yzHjvGMmCU+a7f93a6vo9DCIrGsihqdgcxYSAZzwtuDlNwjre2fJ9AEiryqiGvLUmgkEJw/3hEjxl17ejKgAldrl/b4u444+3NNkoJ0kVDJ/Sz9+Gi4toayCbj/p27bBYh1hnuug658D0Kb28upUHGjwTh7lUfJBaH0LsKtoIyhf7VlT3mCi+EVfrodcCjKRqpYfQZVPmDfc7yv8+mF/a/D5/+K/945wrEa3D/ezC964uS/QvYII/65p3no/cc0smPpqimSznuXhQ8lt44u2+4lMSurSXUiknuZ9bd2BBqhcCnosapT9nM85pRWjBNS25PUg5mKYfzjFt5zGQ+pyVrbqy3uNoVZIuUW3mMQRAYsTSgAaMVjYPNXoRSklBLvn6tzy/+zFW+8+4WR7Ocu6OMvUGCUZLDSY4DFvMpO+KIrUQjTIKRcN2MaOv6tFM5WIrXlbUFh+8Szxcc3/mYSIEwLcaLDD2/w42eZKsTczwvfNrn0RRgd9fXcOrcf+6NhWQAvWsXypM89j050/m+wlcbq5XC64BHUzSdHTj8sc8nJxt+cJca4j7sfw+m93w6QRo4+JGf5be3fItusgY69GmH/t6DgeHRInFnB8Z3ltZh5qEZ6ENINuDoxzDN8NbzEsIYNt577GU8mqKa5iV7awmd+MT97OH0xtl9W4Hi22+sERnFx4dzqqbhD2+PGKcVRdmwtxYTBfqhVUS/VfHDexNageFKP2aa1RxkXb7eTOhMx7wRhqS9bWrVZrNlmOcVUgpwcDgvwEF/YDie5VS1Y6vnayGNdewN2kyLio1uxCAJCXTNZFHipgdstwxvD2pks+A4g1olzA736W+9wZ1RyiAJCE3MD+5MgYqrgxbDw7tY2/B2kpMdfkxHBDRBwnx4n41r7zx4Xx5NAeoIensQdqE1eOgzXG83T6agXtD5vqKMfrWxCgqvA85L0Ujlf8hCQFXC7BMfCKb3oJhC7xpsfg2aDFzti8WDZY7ftCA7vnhg6F2DKoUi8+dAns5AH4fwjjTWeYuxJ1pzP5yi+viQh9MbVUaYHpFnKYg1omTj3Nx3UTf84NN7rMsFe6JiguKPb0e8sbuBVoLNbsSiqLl5vOBKv0VaNhzMcnqmppdkfFYm1K7HcLZA2kP6gxZahWx2IhprmeU164lhre2byoxStCPBslWAsrHEoUJryd5aC+cgLWvSsoZ5TqeZI9wAHSSs2xnZ8McsrOLaTpvWepdaCISDt7faDBcFRitUPuHdbk07bDMtQ2Lp0PmQtParsNO0T/8cyrEAdr/xfBTUR9NQz1qXWuFLj0sLCkKI/wn488CBc+6nl9v+a+A/BQ6Xu/2Gc+6fLR/7r4C/gvcr/6vOuf/jsq7tlcWj1M4ggXLh8/jWPkgb5GNA+scBFvc9O6i18SB1M7kNQRuivp/hp0cPgkKV+pnl4ojcGUaLhrKpvLRFaIhOBoaN955ONV0cQdjzNYoT1OUzDS4P1RiqDDm9TYnBRO0HLKZzZq6T6ZROcYBqxVgd06Lkuh7R0X1aQcIkLQi1JjQSJYTvUo4U7XLOveOIutGMsoppJeiogE0xozJd0qLh6lpELw44nhUsSt8DkYTeaEg4ya3hgnFaYmzJ252c9O49BjKkE69Dt42uJcdjzSh3bMUluhwTBpLtTocr/ZjtxQGjSnnjoTDkzd4azrTI5xbhakQ2opXNsDLASUMofUrnMZG7Z2wIe6I8yUqXaIUn4DJXCv8z8D8Av/XI9v/OOfe3zm4QQnwA/EXgp4ArwP8lhHjPOffVqYg9OmsvZnDwA+jfgHgd7vyuXwn0b/gBYXoPem/4tM7dP/DpIyegmPiBwoQwugl7Pwe3f9efP14HGr/vje+QTw/ZTwVGay9tUWQcjo/YNLmXtkg2nj5r/ByDy9kO2zA9osRQodhph961Bs4NLm5xxPZah1mtKBqL0SHba5p0cUQatU6VYNeTiMN5gcCSVxAXGTUB1zZi5nnJWmyY54LRZEaSQG0b9kc52/2QoraUtWUtMVRWcjDJccJ5BzlRwegjOsaQFyVaGZp0yOD6B6hunzormJQFlV2grCMJQ9b6fZ+ym95Fz+bkZsCsaOh1R4S7X0OHIdPbHyEHA1pxwnAyQdYZnavvn6rSnidy98JY6RKt8ARcWlBwzv0/Qogbz7j7LwH/0DlXAJ8IIT4C/hTw/17S5b16eLRuUM59Q1I59/fX3oJsDPN9aEq/n6v8AFGXvjNZBr5eUOcQ9XyNQQhQGioJ40/JdYtxcoNs0jA7LumqkrAqkcUUnU8oTYeJ6hBdMFN/CM85uDypoznPUkzUZqcdEp0EhDPB5exxVZ4xDVqIk8yTgLxRtHWBPqMEu9EJmBcV87wm0NDIkDfXIGkH3J96CYz12OFEhJYCgaCylry0BFqwt96lHWruTjL2Nlp0QsNGJyIR+0RrltIJrG7R0LClFqh0H9pr9J0imE/pF0N0u0un2yeK2+Sj2wxHR2hlyAmQsmI+PkBFCXEgEFt7pEVOpykYtCMoG5jdRMy2T+VIXhpWukQrPAF/EjWFXxNC/OX/v703D7IsSwv7fufe++69b19yq1xq6+7q7unuWbqpGTGIYEYg5MEQjFA4kGQ5DALH2GE55LDlkCBwBIEcCuOQZRuHZKwRIMCWBhASMEKIYBgbEDKzMltPr9XdtWRV5f7y7e/d7fiP77zMV1l7VW7VdX4RGe+9mzfvO3nz5fedbwe+BPwtrXUTWAQ+N3HOsjl2E0qpTwCfADh16l30Ad67405G4vtPTEaI48lX3IckZpho+uvLxO0BfqdJvnONsFCD8CREbdi+CLnnoLMq1114iaGTZ73VwU+GFIerrBHirb2GX2sQpiPQGf5wnV5+9t59zPchXO5Y0awa4jLyJgSfUS57f65eqfD5t9eYb1SpFjz6w5T+oMu3nTtBnM/tdIKNNZycKhAnGs9R+CwwFa9SKObY7AQ0O128LGNUnkOhcBxYqBWYrYScni6y3Y8ZxCmJ6a+kUZyeKuL1ttHVKkPtMV0KWO8MQSe43RUGcy+inDZPnD5NOCrL3xEN+QbdqxdwvTxekCdJIQxCUlcx2FgmnJ6jkI9QYZn5inH/FYpQmIJysNOOhFx+f6aZ2b5Elttw2ErhZ4H/AdDm8R8AP3I/F9BafxL4JMD58+f1XU5/dLgpqySQoqTuOoy2YdCS+IBfYNjdoNtqokoz+DkFWUo06MGwTdjbkiwjx5d/9l4TagsQ9ei2VvG1JqdiuL5OzZsnCmoM2lsUostkYYNRfg5fm1TXSTfQg7TV2MOtxoGW3JjmtevMByPoN6E0B0EZ0pjhaMCmN8PlS1s7BWpKOWSFKd4zs83WaEh3EKLSEQEZ//6aZn6qh++7zJTCWzZ9u7aeI4q2qXkRUeDTpEIlKJBkGVOlgGrBJ/Ck2Gy+Jr+D7zp0htJw79Jmj3ovIghcgjBH6DlU8z5XN3oMBwOyCjx54klC3YYslHtSOgFeQBxFBJ6Lzp8gN4BEa3JKMco0WVglwSUX96BzXf7++Zrcx0kFPVbC+5E1ZPsSWW7BoSoFrfXq+LlS6p8Av21eXgUmP51L5tjjw94dd5bClS9AoSFuo80LgIL5Fxn0WnjDTXBdlMpw+mu4UZ/McyAbQZKAm5cMpbAAW29D7SSRhvxgTa6dr1Nx+vTW3yLNNHh9skEfp71OdXoe2qEEqv17SF+8R+HSHiast/oMUk2WaTw9Ih5cg1oValOiyLorkMUMvTLXdIOcm8dx+jcUqI2UT3V6kWrzAhW2uNCDtPEkgV/CcaRmIO+5BKYIbrK30sLMFJvdEmnaoOR3yPe3SNubBPkC0/kpalGLutKstgYkroPvOYRDxWubDksz04SeQy+YobN1iadOzjOMU1rdLnU/xZk5y6icZ3OUEtYXCMcpv0ZhOpUTRHGfHIpK4LLV7kLSR1WWiPw6aa9NY2oe+kpaV+hI/v7jz0Tce/BqdovlHjlUpaCUmtdaXzcvfwB42Tz/NPDPlVL/CxJoPgd84TDXduTs3XG3r0hGTxKLKyGJJBNp+Yto7ZEbbqGzCO26OJ2rqLRHEs6CV5AU1FEPVl+FmWchGkDzHcJeRJom5LKYDE0w3MIdXmWYazD0pwi336DkZIRJRQrj+huw9MF9E0St3oiNXky14OO64HW32YwcnBES+wgrYmk4Dpt6amdKWODJPGnfU2z3IwIdkXbXyRXnuDhIccoxQdwkDooUgt12Ee9ZqN52LXknZm3tIn4QkvOLJMMu/bffYPGZFwhzRea4SrsbMSguEicJL1VTBl7CMHEIKotMqy7D5lXiZISPxg2LkEYE/Wsov85m12T9TCjMamGetXe+gU5GBMSUQ4etqEa+toTK5Zk7+TRh1IReKvejsrgbmxnHaZIhKFeKD5ORsSjq8vmwWPaBg0xJ/RTwUWBaKbUM/CTwUaXUBxD30UXgPwfQWn9TKfVrwCtAAvyNxybz6HZumUt/Iv/85QpseJAlskt3c7hxik5iCB2y0gye4wEubhaLQkgjucNZIjvMYQvSkIKCbndVdq1pH93fwksdZmtThHkF3pL0N+qtQy6EoCTtMUZtCOuya80ZIfUA6YtRqgnTFqW1ZYK0C8M2cTgPnS5stW8QcCO926Jh3OYi5zgMs4zZrMX1RDFfzdNrtfAcj2Y/oqjXWfNCfE+xujWkXghuaJ0xGZtIu+vg5WhHDlUPKtkA/CKd9jZVJyLMlwkLGlTEpVyVvJNSc3roSh1iByctMiJDOQPy8RZa5chyBZTOCHpX6YbzwI2poGGhxOzZ99Jcv0ZvNMAv53nPzAJhYWI4TqE0YTU6SHe8WLLKcnnJKOttSSVzUJLss+bl3aLC/Yg3WB5rDjL76K/e4vDP3+H8vwf8vYNaz7HkTm6ZdChB5uYGbF8SK0EnoCFwfUbJEHe7i0uGjodkOHhxD7JIlEEygqQDb34GinOQRoSDTWivM3LyZJnGjduEQUgY9SRDyS/CVF2USqEhFkqWSSwjGUL7quxec6GkzA5b0iJhr/AZ91oataUeYvopKDQI4xbT/Vfoqzw9t0KZTZ7Y/GMGlTPQm5MxZ70NmHripsE6ChgkKa5S5J2Y50/O0o9TUg3bnYjZcpGSM2IzSXl9pct8rbATzL7a7O8UcY0bxLVaHWrFEjgKRylmc4pIV2i2OyyVXAnyoyEe4LsOcTQiHCyjkxF6sEWsfHK5AHe4ToxHLu7hrr1MVlli5ORlx8/MTX/ysFBi/vTN1d43sNdqBFmL44OXBzLoroliVq4UDt7t82QVg+UesRXNR8md3DJBDa58ybgMBtC6ItXFfoFQA/EA7RdI0xSVRLhRi9CfkVqG7prsINUsNC9KO4yzHwE8wqRLmGxAYWb3vYqzcOI5UQbRUHah/S1xQfXWpI1GPITKkhwPSpLdVDtzs/CJB7D8RUmnzU/JwJfXfwemn2Wx9w6byqNYrlFVCicLydoR9XQdvDPye3ZXobpIseDxxkqbYpAjzDkM44woTnjxdINaNIAso1rI88xcmVevtXB1TOoGbHUjQDFd9E177t3WGZMN4rQXkg07JMMO0WhAMRiSCwtovyoWSxqLsPUC6n7GxtolIr+A6+XJ+tuo7jrVhSfBV2xvbpA5Lk6hSpzE6KhDfWbu4T4bk3Ga7StGIfjiVqqfEdded0VaXNROg05tvMGyL9iGeEfJHeYboFMJNraWYfMdEa46FcE96hBmHfLJiFLOo6AUIRp6bXElZAPABWIYbImAW38Vmu9AmphKaA2lGXm9+gqsvg4rr0hwc+ZpaF2D618zKbCJnLf2iiinYUsUQlgRIeX5Iox6G2IhqBxEHWi+Le+JC91VptwhVTUkiwcMkwSGbbz6KaqBI5aRF0D9LAya9EYJJxtFgpzDMMkIcg4nGzJYh+K0saQifNfhuRN5PCI2tLhh3rdYwR/n9McDgt5V0vU3yfevkYykWK5QKDNaeRWvfZlK2kSPOgyvvk4h8MWFFXdh1Id8nbC/wXQphPIsgyTDyRLqlRJhNiTUEbWCjxN3SZtX8IbbTOcdwuzmGRH78jnxAlHSlSVR5pUFsRbG8YbbfZ4slnvEWgpHyZ0Kv7rrUm9QaEh8AA9xIeQAEWwkfbEIiIFUMo9I2ek95HrgBjKZq7dpWitrsSb8AuQr5r0zqC6I/9pB2mL0TFO9oCxC3suJW4pUGq/droq5ty4WRjqS5yAKRaeEpSnm3C75bEiUL5Pv+RR9CPP13Z1sEkEqu/pS6O00ywPpJtqPUrFCjHsl0EM8P+Dc089DLs/17cFOZ9W9rTPqoWK1eQnqpwmyFmEQECUJoeuQ5Xy8WkhIT5TvuMeTTkHHhNNnmN8ZVlQTxRh1QSnC/jphLic1BSEwWINibR8+IAbPuOsiicMwbIolGVbM/TJ1Ib0NW6VseWisUjhK9qahjjriPinUYe2CSdHcFOWAA3imOV3GjuBXiPWwowy0+f4QuhtQqMlOMh7Irp5M4g06M624C1CaEqXg+vKlM1EmOekYitLy6AQw6t5ZmcUj6cWUb0ixnXJFIbku1M8SDr5C6A6gEkJck8DpzFOikEZdad9RbMiuXk+RC43yiQeknXUK2QhyNYYqpNka0BsmNOOMei6m5IUUA4/O1lXm1Qq5K5eJlYP2a9RrNUInz1w5T3OwCa3rTM3Mo41LJuc6VBigemvAEzfGSbxQ7tWYsCKPyUAsuOKMKGDlyE4+KMs93C/8olhpOdPLCqBzDfJVsRrGdSG2StmyD1ilcJRMBhQHW3D9m+JyiQaw+rIcK02Lcsh6oEeQeEiCFkAEreuQmFYYOBgtYV6nsksfdWRnOexCb0WshbAux/0SVF4UwddZhbXXxALxQqifFqGTjkTIFGvyem+77DSWcyoL4nZJY7EqHM/06DdKJl+DueeheUW6tJYXJHCtPKnF6G2I9dJ4gnrKzq7ecxW6eYUYj6l6jWG/w8qlL9MO5klykgq6sXyBZOFJyl7CB9y36RMyShX+YJWqfptQPQlhlTCXZ748i1vPkzoBfmB20cmIbGtd9ObeOMleYeuXxKffeFLcZoMt+V5lCVxHdu/+PgZ2o56466KuKKKwIvfaL9wYK7BVypZ9wCqFo2YcULx4Ga7/qeywy/NiEYy2Zfd8g386ufHn48n89LGlMCYVVw5jl1EeOmYHGxRkZxsNREC/84ewdQUKVchPQ1iGi38iisEvMkTRzQIG838GZ7vPVJIRKi0B6N6G9FrKFcArMPTr9PpDkuGQXNqjUKgSjjoS9PaL8PR37QqqcQpl8yLUlmSOgxcS5mCuPKS19k2SeICXCzgxu0SY87hyfZNW6hGkfXLFGonnMUSTj5ss6jaUqpSDIgwvmUK+ggjuQkNcWq5PZfYkG8tvESlFzsuRdtZIs4jGwlO7cRLYDdJOClu/IPUbUU/caoUZ48vPQOUYugVaG01G7a+RC/LU96ad7vzt7jF9NBmK9TG2UEAsq1ulBNsqZctDYgPNx4WLfwy++acfbslOezQ0QcI7dPPwJ1w4xHvOdWUXjhKFkCvA9JOmFmAgVojnyzCd7pYImt4GBEVxJzk52L7MME1p9QaQJeSqM9DbZGXkMyyfFGVQWZCd9fWvM8ShOYhJwmncpW8hLZ+iFaUMg7p0cd37u4yFWPmEZNHsTI8bEo62mMtnLNZKzFUKhL0ViIdstzr4QYmcSmRKmqsIgzyb2y1Jg82Z+oAsFreVG+xOqXNcSEeEU6eZnlvA0Smjfhc3HdCYWSSsTcyLmAzSjtc5fU4eCw15XDoP1RMSr6mfYejk2Vy5TBpWCAtlsixj9cobDPtdbmDvNL1xA8JbTT+7j+l2FsvDYi2F40J/C6IIRptSxdxdR9w/d1EKxWmIRsA41jBxrvKN0jBzGfrrgCcCOIvFP51mSJZSUwS8cqUeIe6LoOut0HfKuAWNk0YEr/1rdGkWVX+GZi9iPmqboPgIkgFtVcZLBnidS9C9Bk6OUf0Jmo2nmW/Ubz9rYW+cYpw1lQxMquxArKaVlwnaGRSn0eXdtE+lY7SXh0CZeRFFUWr5hgSFHUcso9IJMahyecITzxKWzU69XzHWzq5SorMqnWjvtIvf47JpbW2gGmfIFcT3P3ZPNdev3VifcD/pozZWYDlErFI4bPYWdgUl2HgbVl+DrXdEyChXUjr3uopuhRvIbjhV3BhT8MX3HeSh1wK/LEHQUQe6AxE0Y/dDeUkEYvuaFLyNMJksGRSnSJKYsH0RrWXUZuYGhKMv0Jv9ICQt+Z1yIYQlkoGioHtkThkV1tC5Il4uoJ8at9XtKqH3Cr7epgRTwwoMOrDyFfCrUF6kVPAZrX6DYTgFmSZNI0bDAY2FJ6DmidXVXRcF1F0XV9nSeWkBEnfF9w83ulrGO/ckkgh8NP8AAB+ESURBVIyj5mUJsNdO33Hgz97rjLb6hGH5xm/nfIb9zo0/cz9zKGyswHKIWKVwGIx9x901yf3PFeUfeusyXP4TUQydVRGCxNwcG7gD21cg7cv5nqnCTUZAJALQ8+VS8UhGco46IsCnnmZHgfglCVY33xIXlpnKxrAJpSmC7bfQozaO65PlC+jSFNnKKxQ6/wacSCqtywsw9QR+Z4VE+bhotBeCgkTlCKIWMHWz22PSr64cU5EdiVWgXKngja6K0tq6DO1rNGZfYL1+Cn/zVUbDbVRYoTh1jvmZKfm9y/NSZ+EXwA8BI9QDE6Adp5ve5NOfEYuqeVmGFJn4xg73UASWC/LEcbQbwAbiOCIX7BHg9zvkxsYKLIeEVQoHzWTrge3LUgOQGUG8/ooUd+WKsL2MKAS4Z4UAkLR3n+cKYg10VpC5ya6kRuoEwpnd7wNkQ5h5TnbS+QoMMrEYehtQ9I0FUoTBFgE+fRxU3EdrRZykOMmQkhNBOC1KqHUZSCnFA7ZjV7JwirNkratk/R6Nmfkbc+rH92bjTRHEWSYurTQSwZ2Zxm9ocSV1tyAsgl8nDAvMDJbpBbN0T74PX6XUgyEh0W6FdnVJhP3W25Lbr5W0+xgL4XggGVSjsdtNrCCmn97dxauJWdP32OupPrPA6pU35M+R84njiCTqM3dyT2sL6xKyHFOsUjhoJn3H7RURzHEPNt+U9hND00oi69z9WndjsCEts0mRVNEB9DNxwTTOQOOsuGW2l6G9KgKwelKE8dbbZhjPB0Q4ujkJpkZ9Qt8B32NIhay/SW7jNQrFvLTVmDotrq/cLCiP0AuoDTboqiJxew0vjWgMlwkvvyVCb+mlXbdHa1nqErJYfPjbVyTjKj8l1cRhWVJdNy+ZrqHzku2TxoSuSxhvMKVMgVw/gmXzvGKaw/W3pLbCy4u7zsvtVl4nQ5k1ERTknCyW17nlhxpVGRZKzJ18mub6NYb9DrnAdD/dm31kXUKWY4pVCgfNpO9YKdi6KMI6Ng3mOk1w1R0vce+MA9PjOgVXPERRB9bfkOyi9rL0NwK49g0RlLPvkeykvgnu5quyvsE25MsQ1gnX3yBUnok9dMTl9eRHJJhdqMvPDVsQlkBrVKYhjfCufRn6V0XYpYkorue+XxRO85I0+2tdh9YlYw3UoTKUGMi1r8L8+6B+StxrvQ1oPCXrGm6Lm0g5ch8zDcUpUQDbl6Q/0LAtXwpxHelUUlKzqlzDcWSwTxpJym4uL1bW0vmH2sXfU9M7sC4hy7HEKoWDZnLX6flSnObmpCCt3wF6kObuepl7ZzLLWIPnyU60uykuq+6WKILaSQlQb78jgrx4QlxJvTUpOvNyMGqKm0O7kKYSVPZ8ceskpj23AqqnJF6SKzFUHltFnyDqUFh7Gbd5gX7QgHKV0NFw+fMQVOG9PyDvfe1r4qrqrIsCTQaSMVWeFaHZuiLPlRJXTzpE2nKclN5Nw5asd7ApVsbsc7K2zopkLGWJVBvn6yL4k1iOJyPob4ul4IViKXTWpAL8YXfxtn215RHG1ikcNBPN2xh0ABdaV01zOtPDiPhOV7hPJovZYpP3nkpcYWBqEYamncb2RXGdNC+K8MuVRIi2r0hAunpG1p8MRFgGdaSR3qzs0NfekL5IyUgsjbPfRturESQDnEJdpsMVGniux1A7u/163vw9iSVcf0XcRJ4nsQ8vkN18f1uUZnVR3mf2BbEClr4FTrxPqnsVkl466piusJlYGU5OahGinny605EotN6a1GMk0mlW3itBLmS+dLIbc9lbl3A/CuFe6w8slmOItRQOmlxeslo2LsDq1yUrxkXcHfuqDG7H+D1G0F8DMvDqgBncM1wT10p3Q9xMQVVy/IOyWDRBUX4uS2WQiwYqs7C9AqMtUJnI1NnnIKgSR0M8LwfDJqp9HXJFnHyZrN+EfkkUYzoyrSTMLj7LRDFEA9MDadt0hc2gcRoW3i+V1RtviPLKN2D2WRH+2xfFcilOScaQl4ORIwF9P5R1e9o0+9PmtWm5kUQirNNYlE9xRo4/DLZ9teURxyqFgyYeiB+7NGd2rCtSXMV+xRHuA6cIWReSJrSGEhdIBuLfD6uSChoPQVXNbObIzGAuQWzcLg7SOsN1xO0zfU7cJINt6K3jDzbR/SaqMktaP43XfIcs6eLmZ81OvSvBbKWkarq7KlXX5UUJdisHchU5NtyEyreIQM8VRBHUjF9/nLXkBaIAkh6U58Ry6K1Kx1LPBMy1lowk1xHLBKRwz/FNPyEz1tIxiulWg4PulfupP7BYjiHWfXTQ3JB9dEV25PFABNmhM1nxPDDVwplpP2G6rLq+CLF8Xap5EzN/Ie7JqM5Ui7umv2nmKbgSr8gSaDxBOe+TOD4JHkllgcx1SXDJ6b64y5QHM8/LEhZfNNlSyPtV5iWwPfMU1Bbg9LfJzj3uSVD4huIxLevOleRnMZ1gh11xKxWmzECas6YV+YqstW6USnFa9HJhWoLSfknOCasP5/axLSksjzjWUjhoJneO29dliE16D5XKB0G2RxF5gbhU0t7uOv0iOEoykIKiZEcN24AS94eXl125k5dd/fWvyw47X4NBkzAIodqgmymSYAa99O0UOpcI9QjqT8DUOXEVAcw8Iymyq6+Ly6g8D6dOwsyz4tLK1yXGMH3uxnXvKNpEYh0DM18gqMiaHEesn/6WCHXHM9YZIqD9ws3B5MnBQfDgbh9bf2B5xLFK4SCYzD7pNyFZkVTU/ir31LriwJgsinNk9zpsyw564TysfUOUVu0ZwJNUz5PnxarZeF12z/mGWDujlqRydlZFwMamwV44RegEhFEXEiUdRGtmtsLUOYlbpLG4dJJIqqsX32t6PSnZsY+XOeqIa2evO2e4DQOTCRXW5NrddbF8ijOy2/dCcTltvCFuIr8irrH+hnQ4hRtTQjfe3B+3j60/sDziHJhSUEr9AvB9wJrW+gVzrAH8KnAGuAj8oNa6qZRSwM8A/yEyVuyHtdZ/elBrO1D2Vsq2r8Obn5HA7ZEqhL2YYTu5vAjh7nXwa7tDe7JYdvJeQZTG3Pugc10EqxeANy0CPKxI4Li/KUHemWek5XaWicDfekdiF/MvAlqUUL4qQ2NGLRHY5ROS0bTydei3RIBrLUHkxW8RYd1bhytfkPW21yR+UJ2XXyUoA44I8fn37vYwinriShpsSxA6ZxRL1BNLYpKHKFi7CVt/YHmEOciYwi8CH9tz7MeAz2qtzwGfNa8Bvgc4Z74+AfzsAa7rYGktS2Ws64hwWHtN3Bjby0e9sj24JnVzKBlAUV8CzZU5EezVRdmF50IR2K4jbpwTz4lA1pkok6grvYI2LsDyl2DlZal/yNcAJdfIN4DMdBzNQWlBspVSLQqFTJRN5ZQomfY1UVj1s6aFeEuUiAa0I9ffeFViGRqpPSC70S3kOGJRBBUJbM8+K+0zgvKtZxZPpg6PrZh0KMctlseIA7MUtNZ/pJQ6s+fwx4GPmue/BPwB8HfM8V/WWmvgc0qpmlJqXmt9/aDWd2B0VkQ4uWbHufW27EyTo85TdyWom/bZCTjrWNJjvYoIzV4T1t8St03jnBSHhRUR6slQ/O4gfv7xzIL2NUmzzQXgVMWt4yiYf16yi5RjhHcs2UqNWRHqSokyQslOPo0knuHmzHtWTfxiIEVl4yaCyVCUlM5EAVXnpfq5uiBuI7hxp55l97b7t24fiwU4/JjC3ISgXwHGDfEXgSsT5y2bYzcpBaXUJxBrglOnjmnwbtJ131+XMZtJ88iWI7gihNMcUrvgAzkR1Fkkwrz5jmlOl0BpHja3Tb+hQPoJOa5k9aRDE0OYgu0RlGdkFkR5VqyILIPNi/Jam/qGcaA36kPzulhUw45cU1dMTyhjrZQX5D3jvlgqUUcK07J4d4Jc1BXFMnVOzuuuPPwcAuv2sViOLiXVWAX30Q505+c+qbU+r7U+PzMzcwAre0jKJ2RyWvOqzCJeff0YKAQAR9wiAORMdlEobhZHiYtm0JR00+bbsPa6KIq1V+Rr2IIT74UTL5jg8ZKkl446oliKdXZTWj0R5PnGrm/f9eXca181sxdMdXP7ugh1L5A1xCNxHQ270rrCL0na6agtQj2sSS2BLz2W2HxTfq50Qt5nkklX0i3TWi0Wy14O21JYHbuFlFLzwJo5fhWY3KItmWOPHoUpSdPsN00DuJUjXpDLjrvIHVf4huLzd1xIOzK8pt80LSDyEDYkHXXzDXH1nP2ICOTeughUL5DW1PEASuuiVEJTCRzWdocFeYFkA3VXIFeV+Q6lGQk8K0ceqwvynqXpXUvAyYkAD+blsTIH669BYUG+3zF1EvPvN5ZLLErDcbnxY4Td/Vss98lhK4VPAz8E/LR5/K2J4/+VUupXgD8DtB7JeAKIsEqGYiXE+9AO+2Fx8jKbwAuhckJ28PHIjOMsy3E/lGpjtAhW15Hz3CI0l28eZF8+AZtvizAun4Ctt8TmazwhrqegIG26x0PuT35otwNpaUEEeDIQAT/9tJwX1iTraNL/n0SiFJbOyfU2Loj1kKUSqC5OyXlezozsPIqCQIvl3cVBpqR+CgkqTyulloGfRJTBrymlfhS4BPygOf13kHTUC0hK6l8/qHUdONdfhitfEldJmt79/IPG8yByRfAXG0hGkCM+/NqiVCwXGiLYU9N+2i9LNlA8EDfTmHHefmFKsqqyRNw4jbPidkLLOYvnJZawN8snqBhFsjtbmVFPjt+tPUShAac+JM9XviGurTQSqyKL5b196xayWB6Wg8w++qu3+dZ33eJcDfyNg1rLobL8JQmiFqdFuB41SSo+f78k6xkNIOdLMLfxlNQe1E/LuduX5NF1IXWkZqEyv3utceZO1BPffPuqjM0sNCTeUGjsBnfd0DS9i3fnG08/BctflGuNA8txF+Y+KNe81zqByb5F8WDXTeUXDuQWWiyPE7aieb9pX5cA7KApbo4DZ5xNdCsC6SWUGmugvCjCeNASAVqoSewgX5Udd9SVrqeOD4EvwnbmGQnoTmbubL4lLqDCjCiXG3z63LlL6NIHd91AQUUUQqEh7qV7zRQqTkN8WfoWTZ5rawoslofGKoX9xs2JK2bUFvfKQeOF4gLaSeTykMpp0wKi2JB21fkpCdj6oVQoZ7HszutPiBsJoHoClr8i2Ty1s1JrEFR2XTjKESto86IoAMfs7sdDgyKTRXSvbqBJ7qdOwNYUWCwHhlUK+43rSYVvPDJDXA6YxPjTx3gFsQy0NmMoa1A9K3OXC3XZ5aNFkbSuGsVwUgTroA210+Krr8yJa2bxpd1dvBuKgFcaNl6TDKSgKkHjuAn5ilxn1LmxJbVfujfXzv1kCtmsIovlQLBKYb8YN8FbeRWiJg9QgvGAZBPPlbislGtSOosw95zk9eerIqRdBzIFxaoosFFXmsFVlszAm8SM3PSlanj1m3Jpx5NMI6XESijNG6E/EkUQVKRozS9KXUOutBs3mGxCZ7FYjjV2nsJ+MDmCcbwTPyzyE43dnFCqjF3XzPBxpRI46Yu7Zd2Mz/QcIDWFa750QO2aVhKlKTjxPJSnpS9Re1WUTJpI4dn6a6JIlBKhXz0pa3A9sQainrSgzoViQeRCeb23sMxisRxLrFLYDyYH6STtw33voAjkATOb2AtNcZgncYNcCOf+vFgMTs5kC5l5y0pB1JKmeOlAYgalE+LyGWzL+a4xJntGOcSRKI9kJOfHfVEuxVnpPZQMxcU0JhnJ/Vl/Hbav2FnFFssxxyqF/eAGQZjd8dR9p7QgO3RlKoHTWJRC45RMFHvyI2b8JdK0Lkt3DRmNxB5qC7B0XjqIKiXHop4oldKsOVeJCykdmYlrjlRF189IFpBiN/tn+5JYTcqRbKzWFWluZ4fYWyzHHqsU9oNbjWA8LPprgJJisaAE5SWJH2QZLL5fXDudNRHotVNiCfSb0s47S8T9U1qQoHGxLuM544FYBX5ZpqGBfF9n8uUXYOklsUxu1VNIKwlGD7bF0nByu1XRbiiWg8ViOZbYQPN+UJyWNs7ta4f/3hqxUlzT3E5HcrxxWoLBnVUR0OUT0N8Wwd1dF+umtgj56d06gemndyfGlWbENaQcaUeRjMQyqCyaeEEE9fKtM4Dqp6ROY9SWAHTphCgtsEPsLZZjjlUKD8rkyM1kBG/8Plz+3CEvIrc7lyAsiftn6UOiBJSpSNaxpJl6ITTOwPVtedSYIrCuVBrDzWme498xF4ogH8cbxgNoblVY5oVipVQW5LVOxXIYxybsEHuL5Vhj3UcPwmS2Ua4I3/y38LVPwdqrh7sOJ5Sdu1+QPksacR2FVVEW/Q0ZbzkyjfnyNZj/gAjppC+79qUP3jyacsxYSZx4QZra+YW7t6CenGCWr8PItLLI1+00M4vlEcBaCg/CZLYRwOufhs6GCMtDQQFaAsHdVVFOLhJEztdh/RUpTlt8UbKTrn5ZZh0XZySNdO6Z+58rcK/FYpPVxkm0Wy2tU1FCtvLYYjnWWKXwIOzt6LlxEXQfUvcQ3jyULKK4K8Hg4pQEjdNIsoI235LZBY0ZEcKFuvxY84rs9A+jJYStNrZYHlmsUngQxtlGY0shG2EmyB/M+6m8xAZQu+2vU9MqWpnK5VwIjSclRTRXlPM9I/jDmuzUp88dzPosFsu7BqsUHoRxtlHrmpkZcBDKwLiIQGIBo660vC7OmNRQdmsRoo5YDfVTknqa9ORx1JbsI9eXLCCLxWK5C1YpPAjxQPoFbV+VwCkH0SI7AEbg1+GJj0gaadQRl1BQlWKz0Ewq84w7qLIos5Mv/L4ZonNGlMmoBU9/7ADWaLFY3m1YpfAgLP+p9Aoqz0jA+SDIhRIbqJ+GZ/6CvF9misKmnpQ5yDNPi2so7sNgS1JNB9uSYRT3JcPIL0vKqT4GU+AsFsuxxyqFB2HjdWks17ombR/2HV8yeLIITrxfYgWlOSmOK9Rh5llJE20t7w6rOfNnJbV0402JKSi1ezmtbcGYxWK5J6xSeBCivnQPLVRkfsG+4sgA++lzEguon5I+RI4Ls8/K8XHmUHXh5h/fGwQHWzBmsVjumSNRCkqpi0AHccYnWuvzSqkG8KvAGeAi8INa6+ZRrO+u+Hkgkswf1N3Ovjfy85JWqhRUTkgcIV+RKuXyrAj14vTdU0nHM5Lh7mMtLRaLZQ9HaSn8Oa31ZGe0HwM+q7X+aaXUj5nXf+dolnYXKovSbjrqmkDzQ+JVob5g2l1n0thu/oXdiWX3k/NvR1VaLJaH4Di5jz4OfNQ8/yXgDzjOSsHLQ3/z4YbHuGVJLy01oPEsDNYlQDz3HmlH/aAtIWzxmMVieUCOSilo4PeUUhr4x1rrTwJzWuvr5vsrwNwRre3uTD8Fy180hWIPEVNYfFGK0LIhjJoyJW3uvdKu2nHsDt9isRw6R6UUvl1rfVUpNQt8Rin12uQ3tdbaKIybUEp9AvgEwKlTR+QnLzSkkdzGBcn+eRD8Opz9dlj+Ejz5vZJhFHV2awpuFUS2WCyWA+ZIuqRqra+axzXgN4APAatKqXkA87h2m5/9pNb6vNb6/MzMzGEteR9xwa2Je6g4B9/x38qgm94KuIFVCBaL5Ug5dEtBKVUEHK11xzz/C8DfBT4N/BDw0+bxtw57bXelvyXWQfsqtK7C1FNSPzCuPr4bz/yA1DUkPXjqu+FDP3zAC7ZYLJb74yjcR3PAbygprvKAf661/l2l1BeBX1NK/ShwCfjBI1jb7elvSRwhV4JhTzKFmu9IdlC+BoPVu18jGUrzusUPwFMfPfAlWywWy/1y6EpBa/028P5bHN8Evuuw13NHJqerrb4u08OiLrQuiSJQgdQEaIUMNFDcujmeB42n4H1/SdpiVE+IlWGxWCzHjOOUknq8GE9Xc0NpG9Ffh54JKndXobcOhTnIl8EPQNdBZWJFTLqSSiehMg8LL0m20b0WoVksFssRYJXC7dg7XS0ZQuuKZB5VT8PWW7D5prSdqCxC87J0Lc31YdiU8Zj5GjzxneC58OzH7DwDi8Vy7Hn8lMKkS+hOu/a909XSGBwfskQqjWunZcrZqAXPfAxe+x3pRKoc015iJM3spp+EpZekg6nFYrEccx4vpbDXJZTG8vpW84r3NpZzcjLUZtiGqA1hEZ76Tmll/fxflGu89YfiVnJzcPbDkmGkXDus3mKxPDI8Xkphr0to/NjbuLktxN7GcqVpSUOdex78ImQxDNpQXRKF8uzH4OR5M4nNYIfVWyyWR4zHSynsdQmBCO1bzRrY21hu9lnpYKoRiyPLICiIktg53/YbslgsjzaPl1K431kDewV9ZVGK10ZtGWwz/ZQEni0Wi+VdwuOlFB521kChAac+dHDrs1gsliPmSHofHRljl5DjiEvIcW4dZLZYLJbHlMfLUgDr+7dYLJY78HhZChaLxWK5I1YpWCwWi2UHqxQsFovFsoNVChaLxWLZwSoFi8ViseygtL7lKORHAqXUOjKQ5zgxDWwc9SKOIfa+3B57b26PvTe352HuzWmt9S3nGT/SSuE4opT6ktb6/FGv47hh78vtsffm9th7c3sO6t5Y95HFYrFYdrBKwWKxWCw7WKWw/3zyqBdwTLH35fbYe3N77L25PQdyb2xMwWKxWCw7WEvBYrFYLDtYpWCxWCyWHaxSeEiUUq5S6itKqd82r88qpT6vlLqglPpVpZR/t2u8G1FK1ZRSv66Uek0p9apS6sNKqYZS6jNKqTfNY/2o13kUKKX+G6XUN5VSLyulPqWUCh/Xz41S6heUUmtKqZcnjt3yc6KE/93co68rpV46upUfLLe5L3/f/D99XSn1G0qp2sT3ftzcl9eVUv/Bw7y3VQoPz38NvDrx+n8C/let9VNAE/jRI1nV0fMzwO9qrZ8F3o/cox8DPqu1Pgd81rx+rFBKLQJ/EzivtX4BcIG/wuP7uflF4GN7jt3uc/I9wDnz9QngZw9pjUfBL3LzffkM8ILW+n3AG8CPAyilnkM+Q8+bn/k/lFLug76xVQoPgVJqCfhe4OfMawV8J/Dr5pRfAv7i0azu6FBKVYHvAH4eQGsdaa23gY8j9wQe03tj8IC8UsoDCsB1HtPPjdb6j4CtPYdv9zn5OPDLWvgcUFNKzR/OSg+XW90XrfXvaa0T8/JzwJJ5/nHgV7TWI631O8AF4IFHRFql8HD8b8DfBjLzegrYnvjDLQOLR7GwI+YssA78U+Na+zmlVBGY01pfN+esAHNHtsIjQmt9FfifgcuIMmgBX8Z+bia53edkEbgycd7jfJ9+BPi35vm+3herFB4QpdT3AWta6y8f9VqOIR7wEvCzWusXgR57XEVacqEfu3xo4x//OKI4F4AiN7sJLIbH9XNyJ5RSPwEkwD87iOtbpfDg/Fng+5VSF4FfQcz/n0FM2vGY0yXg6tEs70hZBpa11p83r38dURKrY3PfPK4d0fqOkj8PvKO1Xtdax8C/Qj5L9nOzy+0+J1eByVm6j919Ukr9MPB9wF/Tu0Vm+3pfrFJ4QLTWP661XtJan0GCPP+P1vqvAf8v8B+Z034I+K0jWuKRobVeAa4opZ4xh74LeAX4NHJP4DG9N4jb6FuVUgUTgxrfm8f+czPB7T4nnwb+U5OF9K1Aa8LN9K5HKfUxxF39/Vrr/sS3Pg38FaVUoJQ6iwTiv/DAb6S1tl8P+QV8FPht8/wJ8we5APwLIDjq9R3RPfkA8CXg68BvAnUk5vJZ4E3g94HGUa/ziO7NTwGvAS8D/xcQPK6fG+BTSGwlRizMH73d5wRQwD8C3gK+gWRwHfnvcIj35QISO/iq+fo/J87/CXNfXge+52He27a5sFgsFssO1n1ksVgslh2sUrBYLBbLDlYpWCwWi2UHqxQsFovFsoNVChaLxWLZwSoFy2ONUipVSn1VKfU1pdSfKqW+7RDe86JSavqg38dieRC8u59isbyrGWitPwBgWg7/j8BHjnZJN6KUcrXW6VGvw/J4YC0Fi2WXCtK2ety7/++bmQffUEr9ZXP8o+PZGeb1PzStB8YWwE8Zi+MbSqlnzfEppdTvmRkKP4cUYY1//jeVUl823/vExPGuUuofKKW+BvyEUuo3J7733Uqp3zjYW2F5XLGWguVxJ6+U+ioQAvNIDyuAv4RUZb8fmAa+qJT6o3u43obW+iWl1H8J/HfAfwb8JPDHWuu/q5T6Xm6clfAjWustpVTevMe/1FpvIo3yPq+1/lumHcarSqkZrfU68NeBX3jo39xiuQXWUrA87gy01h/QMgzoY8AvGyH87cCntNap1noV+EPgg/dwvX9lHr8MnDHPvwP4vwG01v8GY40Y/qaxBj6HNDU7Z46nwL80P6ORdhj/iZm29WF22yZbLPuKtRQsFoPW+k9MAHjmDqcl3LiZCvd8f2QeU+7y/6WU+ijSNfXDWuu+UuoPJq433BNH+KfAvwaGwL/Qu7MXLJZ9xVoKFovBxABcYBP4d8BfVjKDewbZ7X8BuAQ8ZzpS1pAup3fjj4D/2LzH9yDNAQGqQNMohGeBb73dBbTW14BrwH+PKAiL5UCwloLlcWccUwAJAP+Q1jo1gdwPA19Dhrz8bS0twVFK/RrS4fQd4Cv38B4/BXxKKfVN4P9D2mcD/C7wXyilXkW6W37uLtf5Z8CM1vrVu5xnsTwwtkuqxfKIoJT6h8BXtNY/f9Rrsbx7sUrBYnkEUEp9GRlr+t1a69HdzrdYHhSrFCwWi8Wygw00WywWi2UHqxQsFovFsoNVChaLxWLZwSoFi8VisexglYLFYrFYdvj/AWwxa72FvS6HAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0JYLmKNFSIT-"
      },
      "source": [
        "Now let us try plotting 3 features together."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lOKEHIXFaWp_",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "outputId": "a2bf7386-e2bf-42a6-dd0b-9045176ec472"
      },
      "source": [
        "cl1 = ['class 1']*len(sum1)\n",
        "cl0 = ['class 0']*len(sum0)\n",
        "df = pd.DataFrame(list(zip(np.concatenate((hole1, hole0)), np.concatenate((sum1,sum0)), \n",
        "                           np.concatenate((bound1,bound0)), np.concatenate((cl1, cl0)))),\n",
        "               columns =['Hole', 'Sum', 'Boundary', 'Class'])\n",
        "df.head()\n",
        "fig = px.scatter_3d(df, x='Hole', y='Sum', z='Boundary', color='Class', opacity=0.1)\n",
        "fig.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
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              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"7f86b54e-606e-4499-abf6-f4d2a214b0c7\" class=\"plotly-graph-div\" style=\"height:525px; width:100%;\"></div>\n",
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    {
      "cell_type": "markdown",
      "metadata": {
        "id": "paDGHlFSd5Fu"
      },
      "source": [
        "Feel free to explore the above graph with your mouse. \n",
        "\n",
        "\n",
        "We have seen that we extracted four features from a 28*28 dimensional image.\n",
        "\n",
        "\n",
        "Some questions to explore:\n",
        "1. Which is the best combination of features?\n",
        "2. How would you test or visualize four or more features?\n",
        "3. Can you come up with your own features?\n",
        "4. Will these features work for different classes other than 0 and 1?\n",
        "5. What will happen if we take more that two classes at a time?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Alwpw5CTCnB3"
      },
      "source": [
        "**ANSWERS**\n",
        "i tried to answer the above questions in a theoretical way instead of programs after the research "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dvWOCwTO_hAZ"
      },
      "source": [
        "**1 answer :**\n",
        "based on above observation hull and boundary makes the best pair "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "i9fxvCYw6Tll"
      },
      "source": [
        "**2 answer :** \n",
        "a four feature can be visualized through 4d but it becomes to hard for a human  to understand that and work on that . so its better to stop with 3 dimensions "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EyTyA4Dd6U5k"
      },
      "source": [
        "**3 answer :** \n",
        "Feature 1:\n",
        "  In order to distinguish 1 & 0 we can use the thickness parameter i.e (length of the x + length of  y axis) - (the thickness of digit in x+ thickness of digit in y axis) = the more number we get the higher the probability that it is digit one .\n",
        "\n",
        "ex : \n",
        "consider zero :\n",
        "length of x+y = 20 units \n",
        "length of digit in x axis = 7\n",
        "length digit in y axis = 7\n",
        "result = 20-14 = 6 \n",
        "\n",
        "consider one :\n",
        "length x+y axis = 20 units \n",
        "length of digit in x axis = 1\n",
        "lenght of digit in y axis = 10\n",
        "result = 20- 11= 9 \n",
        "\n",
        "the higher the result the more the chance it is one  \n",
        "\n",
        "Feature 2:\n",
        "In order to distinguish zero(0) and one(1) we can use centre of mass as feature. \n",
        "for zero the centre of mass mostly lies in centre i.e the distance from the centre of mass point to the bondary pixels of zero digit  in x axis and y axis is almost similar where are for the digit one may not be similar \n",
        "so the x,y distance from centre of mass point to boundary of the digit matches or similar then its a zero .. and if both x and y value are not similar its probably one \n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EHhCN-Ac2Fdn"
      },
      "source": [
        "**4 answer :**\n",
        " no, i dont think these features work for numbers other than 0 and 1 since the above features are created and utilized for the purpose of only zero and one.\n",
        "i tried checking with other number like 5 and 6 but it failed \n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_b1LyyaQ28fh"
      },
      "source": [
        " **5 answer :**\n",
        "  if we take more than 2 classes at a time i dont think i would give a good result .. cause we need to be more specific regarding features , and in the above example we used hole,hull,boundary,sum . these work pretty fine for 0 & 1 but when i checked for numbers like 8 ,9 it didnt gave a good result  "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "eHOouvqz3nPo"
      },
      "source": [
        ""
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