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    {
     "cells": [
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Chapter 2: Classification"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "As we have learned in the previous chapter *classification* belongs to the field of *supervised learning*. In such problems the aim is to predict a category. Such categories can be \n",
    
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        "\n",
        "- ok/not ok\n",
        "- good / bad / dont't know\n",
        "- digit 0 ... / digit 9\n",
        "- etc \n",
        "\n",
    
        "In this chapter we introduce the core concepts of classification."
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## How could we  build  a simple classifier  ?"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
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        "If we look at the beer example, we can assume that the person who rated tbe beers has preferences like, \"I don't like high alcohol content\", \"I like fruity beer\", etc."
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "This means we could construct a score where high numbers relate to \"favorable beer\". One simple way to implement such a score is to use a weighted sum like\n",
        "\n",
        "\n",
        "     score = -0.1 * alcohol_content + 4 * bitterness + 0.8 * darkness + 1.8 * fruitiness \n",
        "\n",
        "Positive weights contribute to a heigher score and negative weights to a lower.\n",
        "\n",
        "The actual weights here are guessed and serve as an example.\n",
        "\n",
        "The size of the numbers also reflects the numerical ranges of the features: alcohol content is in the range 3 to 5.9, where as bitterness is between 0 and 1.08:"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 56,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
          "text/html": [
           "<div>\n",
           "<style scoped>\n",
           "    .dataframe tbody tr th:only-of-type {\n",
           "        vertical-align: middle;\n",
           "    }\n",
           "\n",
           "    .dataframe tbody tr th {\n",
           "        vertical-align: top;\n",
           "    }\n",
           "\n",
           "    .dataframe thead th {\n",
           "        text-align: right;\n",
           "    }\n",
           "</style>\n",
           "<table border=\"1\" class=\"dataframe\">\n",
           "  <thead>\n",
           "    <tr style=\"text-align: right;\">\n",
           "      <th></th>\n",
           "      <th>alcohol_content</th>\n",
           "      <th>bitterness</th>\n",
           "      <th>darkness</th>\n",
           "      <th>fruitiness</th>\n",
           "      <th>is_yummy</th>\n",
           "    </tr>\n",
           "  </thead>\n",
           "  <tbody>\n",
           "    <tr>\n",
           "      <th>count</th>\n",
           "      <td>225.000000</td>\n",
           "      <td>225.000000</td>\n",
           "      <td>225.000000</td>\n",
           "      <td>225.000000</td>\n",
           "      <td>225.000000</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>mean</th>\n",
           "      <td>4.711873</td>\n",
           "      <td>0.463945</td>\n",
           "      <td>2.574963</td>\n",
           "      <td>0.223111</td>\n",
           "      <td>0.528889</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>std</th>\n",
           "      <td>0.437040</td>\n",
           "      <td>0.227366</td>\n",
           "      <td>1.725916</td>\n",
           "      <td>0.117272</td>\n",
           "      <td>0.500278</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>min</th>\n",
           "      <td>3.073993</td>\n",
           "      <td>0.000000</td>\n",
           "      <td>0.000000</td>\n",
           "      <td>0.000000</td>\n",
           "      <td>0.000000</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>25%</th>\n",
           "      <td>4.429183</td>\n",
           "      <td>0.281291</td>\n",
           "      <td>1.197640</td>\n",
           "      <td>0.135783</td>\n",
           "      <td>0.000000</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>50%</th>\n",
           "      <td>4.740846</td>\n",
           "      <td>0.488249</td>\n",
           "      <td>2.026548</td>\n",
           "      <td>0.242396</td>\n",
           "      <td>1.000000</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>75%</th>\n",
           "      <td>5.005170</td>\n",
           "      <td>0.631056</td>\n",
           "      <td>4.043995</td>\n",
           "      <td>0.311874</td>\n",
           "      <td>1.000000</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>max</th>\n",
           "      <td>5.955272</td>\n",
           "      <td>1.080170</td>\n",
           "      <td>7.221285</td>\n",
           "      <td>0.535315</td>\n",
           "      <td>1.000000</td>\n",
           "    </tr>\n",
           "  </tbody>\n",
           "</table>\n",
           "</div>"
          ],
          "text/plain": [
           "       alcohol_content  bitterness    darkness  fruitiness    is_yummy\n",
           "count       225.000000  225.000000  225.000000  225.000000  225.000000\n",
           "mean          4.711873    0.463945    2.574963    0.223111    0.528889\n",
           "std           0.437040    0.227366    1.725916    0.117272    0.500278\n",
           "min           3.073993    0.000000    0.000000    0.000000    0.000000\n",
           "25%           4.429183    0.281291    1.197640    0.135783    0.000000\n",
           "50%           4.740846    0.488249    2.026548    0.242396    1.000000\n",
           "75%           5.005170    0.631056    4.043995    0.311874    1.000000\n",
           "max           5.955272    1.080170    7.221285    0.535315    1.000000"
          ]
         },
    
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         "execution_count": 56,
    
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         "metadata": {},
         "output_type": "execute_result"
        }
       ],
       "source": [
    
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        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
    
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        "%config InlineBackend.figure_format = 'retina'\n",
    
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        "\n",
        "# read some data\n",
        "beer_data = pd.read_csv(\"beers.csv\")\n",
        "\n",
    
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        "beer_data.describe()"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 57,
    
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       "metadata": {},
       "outputs": [],
       "source": [
        "scores =( -0.1 * beer_data[\"alcohol_content\"] + 3 * beer_data[\"bitterness\"] \n",
        "          + 0.8 * beer_data[\"darkness\"] + 1.8 * beer_data[\"fruitiness\"])"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Now we can plot the histogram of the scores by classes:"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 58,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "image/png": 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\n",
    
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          "text/plain": [
    
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           "<Figure size 432x288 with 1 Axes>"
    
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          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 250,
           "width": 370
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "scores_good = scores[beer_data[\"is_yummy\"] == 1]\n",
        "scores_bad = scores[beer_data[\"is_yummy\"] == 0]\n",
        "\n",
    
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        "plt.hist(scores_good,  bins=25, color=\"blue\", alpha=.5) # alpha makes bars translucent\n",
    
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        "plt.hist(scores_bad, bins=25, color=\"red\", alpha=.5);"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Consequence: A simple classifier could use these scores and use a threshold around 3.5 to assign a class label."
       ]
      },
    
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      {
       "cell_type": "code",
    
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       "execution_count": 59,
    
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       "metadata": {},
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "not yummuy\n",
          "yummy\n"
         ]
        }
       ],
       "source": [
        "def classify(beer_feature):\n",
        "    scores =( -0.1 * beer_feature[\"alcohol_content\"] + 3 * beer_feature[\"bitterness\"] \n",
        "             + 0.8 * beer_feature[\"darkness\"] + 1.8 * beer_feature[\"fruitiness\"])\n",
        "    if scores > 3.5:\n",
        "        return \"yummy\"\n",
        "    else:\n",
        "        return \"not yummuy\"\n",
        "    \n",
        "print(classify(beer_data.iloc[0]))\n",
        "print(classify(beer_data.iloc[1]))"
       ]
      },
    
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      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "**This is how so called linear classifiers work. The magic is in computing the weights and the final threshold to guarantee good results.**\n",
        "\n",
        "*Comment*: although this seems to be a simple concept, linear classifiers can work very well, especially for higher resp. very high dimensions."
       ]
      },
    
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      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Exercise section 1\n",
        "\n",
        "Modify the weights in the beer classifiers and check if you can improve separation in the histogram.\n",
        "\n",
    
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        "In `scikit-lear` the weights of a trained linear are availble via the `coef_` attribute. Extract the weights from the `LogisticRegression` classifier example from the last script and try them."
    
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       ]
      },
    
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      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Geometrical interpretation of feature vectors\n",
        "\n",
        "If you take the values of a input-feature vector you can imagine this as a point in a d-dimensional space.\n",
        "\n",
        "\n",
        "E.g. if a data set consists of  feature vectors of length 2, you can interpret the first feature value as a x-coordinate and the second value as a y-coordinate.\n",
        "\n",
        "Labeled features then group such points to different point clouds.\n",
        "\n"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "### Example\n",
        "\n",
        "For sake of simplicity we restrict our beer data set to two features: `alcohol_content` and `bitterness`.\n",
        "\n",
        "The following plot shows how these reduced feature vectors can be interpreted as point clouds. For every feature vector we color points in green or red to indicate the according classes:"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 60,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "image/png": 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\n",
    
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          "text/plain": [
    
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           "<Figure size 432x288 with 1 Axes>"
    
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          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 264,
           "width": 387
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "xv = beer_data[\"alcohol_content\"]\n",
        "yv = beer_data[\"bitterness\"]\n",
        "\n",
    
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        "colors = [\"rb\"[i] for i in beer_data[\"is_yummy\"]]\n",
    
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        "\n",
        "plt.scatter(xv, yv, color=colors, marker='.');\n",
        "plt.xlabel(\"alcohol_content\")\n",
        "plt.ylabel(\"bitterness\");"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "\n",
        "What do we see here ?\n",
        "\n",
        "1. Both point clouds overlap, this tells us that the two features lack information for a 100% separation of classes. \n",
        "2. We could draw a line to separate most points of both clouds.\n",
        "3. Later we could use this line to make a guess for classifying a new feature vector.\n",
        "\n",
        "Eventually **classification is about finding a procedure to separate point clouds in an n-dimesional space.**"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Next we illustrate how more features can support classification. We add the `darkness` feature as third dimension.\n"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 61,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "text/plain": [
    
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           "<Figure size 1440x504 with 2 Axes>"
    
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          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 398,
           "width": 1133
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "from mpl_toolkits.mplot3d import Axes3D\n",
        "\n",
        "fig = plt.figure(figsize=(20, 7))\n",
        "\n",
        "xv = beer_data[\"alcohol_content\"]\n",
        "yv = beer_data[\"darkness\"]\n",
        "zv = beer_data[\"bitterness\"]\n",
        "\n",
    
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        "colors = [\"rb\"[i] for i in beer_data[\"is_yummy\"]]\n",
    
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        "\n",
        "def plot(ax):\n",
        "    ax.scatter(xv, yv, zv, c=colors, marker='.') \n",
        "\n",
        "    ax.set_xlabel('alcohol_content')\n",
        "    ax.set_ylabel('darkness')\n",
        "    ax.set_zlabel('bitterness');\n",
        "\n",
        "ax = fig.add_subplot(121, projection='3d')\n",
        "\n",
        "plot(ax)\n",
    
        "ax.view_init(3, 270)\n",
    
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        "\n",
        "ax = fig.add_subplot(122, projection='3d')\n",
        "plot(ax)\n",
    
        "ax.view_init(3, 0);"
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "The first view is very similar to the scatter plot before as we don't see the effects of the third feature. \n",
        "\n",
        "The second view shows the same cube rotated by 90˚ to the left. We see that the new dimenission adds extra information which could improve separation. So tiling the plane which separates in the first view could improve separation.\n"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "### Decision surfaces\n",
    
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        "\n",
        "The concept of decision surfaces is crucial in classification. \n",
    
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        "\n",
    
        "Lets start with an easy to visualize example 2D: \n",
    
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        "\n",
    
        "For a score based on a weighted sum for two features `x` and `y` the equation\n",
    
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        "\n",
        "\n",
        "     weight_x * x + weight_y * y = threshold\n",
        "     \n",
        "\n",
        "defines a line in 2d space. Points fulfilling\n",
        "\n",
        "     weight_x * x + weight_y * y < threshold\n",
        "      \n",
        "      \n",
        "vs\n",
        "\n",
        "     weight_x * x + weight_y * y > threshold\n",
        "      \n",
        "\n",
    
        "are located on opposite sides of this line. Such a classifier thus determines a line which separates the feature space in two parts according to the two classes."
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Lets visualize this! \n",
        "\n",
        "We \n",
        "\n",
        "- create random points in 2D,\n",
        "- compute scores for given weights\n",
        "- split points according to their score compared to the threshold \n",
        "- plot them in different colors.\n",
        "\n",
        "Additionally we did some math and computed the decision line:"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 62,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "image/png": 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\n",
    
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          "text/plain": [
    
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           "<Figure size 432x288 with 1 Axes>"
    
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          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 250,
           "width": 373
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "import numpy as np\n",
        "\n",
        "wx = -.5\n",
        "wy = 1.2\n",
        "threshold = 0.2\n",
        "\n",
        "weights = np.array((wx, wy))\n",
        "points_2d = np.random.random((200, 2))\n",
        "scores = points_2d @ weights   # matrix - vector product\n",
        "\n",
        "above_points = points_2d[scores > threshold]\n",
        "below_points = points_2d[scores < threshold]\n",
        "\n",
    
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        "plt.scatter(above_points[:, 0], above_points[:, 1], c=\"b\", marker=\".\", label=\"above\")\n",
    
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        "plt.scatter(below_points[:, 0], below_points[:, 1], c=\"r\", marker=\".\", label=\"below\")\n",
        "\n",
        "# plot decision line\n",
        "x = np.linspace(-.01, 1.01, 2)\n",
        "y = threshold / weights[1] - weights[0] / weights[1] * x\n",
        "plt.plot(x, y, 'k:')\n",
        "plt.legend();"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "**Higher dimensions**: For 3D features a linear classifiers separates classes by a plane, and for higher dimensions `n` we get `n-1` dimensional planes."
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "### Example\n",
        "\n",
        "In the beer example, features fulfilling\n",
        "\n",
        "    -0.1 * alcohol_content + 4 * bitterness + 0.8 * darkness + 1.9 * fruitiness == threshold\n",
        "    \n",
        "are located on a 3D-plane in 4D. \n",
        "\n",
        "Points in the \"not yummy\" class fulfilling\n",
        "\n",
        "    -0.1 * alcohol_content + 4 * bitterness + 0.8 * darkness + 1.9 * fruitiness < threshold\n",
        "    \n",
        "and points in the \"yummy class\"\n",
        "\n",
        "    -0.1 * alcohol_content + 4 * bitterness + 0.8 * darkness + 1.9 * fruitiness > threshold\n",
        "    \n",
        "are located on different sides of this plane.\n",
        "\n",
        "Again: **Here the classifier separates the 4d space into two parts, the separation boundary is a plane in this space.**"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "### About 2D examples\n",
        "\n",
        "For the sake of simplicity and visualisation we continue with 2 dimensional examples.\n",
        "\n",
    
        "It is clear that such examples only represent very small subset of realistic ML scenarios. But most concepts can be illustrated in 2- or 3D without loss of generality.\n",
    
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        "\n",
        "The examples also might look artificial, but general classifiers should work on all kind of problems."
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## More complex decision surfaces"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "The next example data set can not bew classified by a line, the decision line is curved:\n"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 63,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
          "text/html": [
           "<div>\n",
           "<style scoped>\n",
           "    .dataframe tbody tr th:only-of-type {\n",
           "        vertical-align: middle;\n",
           "    }\n",
           "\n",
           "    .dataframe tbody tr th {\n",
           "        vertical-align: top;\n",
           "    }\n",
           "\n",
           "    .dataframe thead th {\n",
           "        text-align: right;\n",
           "    }\n",
           "</style>\n",
           "<table border=\"1\" class=\"dataframe\">\n",
           "  <thead>\n",
           "    <tr style=\"text-align: right;\">\n",
           "      <th></th>\n",
           "      <th>a</th>\n",
           "      <th>b</th>\n",
           "      <th>label</th>\n",
           "    </tr>\n",
           "  </thead>\n",
           "  <tbody>\n",
           "    <tr>\n",
           "      <th>0</th>\n",
           "      <td>-3.591782</td>\n",
           "      <td>3.612599</td>\n",
           "      <td>1</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>1</th>\n",
           "      <td>6.580586</td>\n",
           "      <td>-2.105557</td>\n",
           "      <td>1</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>2</th>\n",
           "      <td>-0.670938</td>\n",
           "      <td>-5.905074</td>\n",
           "      <td>1</td>\n",
           "    </tr>\n",
           "  </tbody>\n",
           "</table>\n",
           "</div>"
          ],
          "text/plain": [
           "          a         b  label\n",
           "0 -3.591782  3.612599      1\n",
           "1  6.580586 -2.105557      1\n",
           "2 -0.670938 -5.905074      1"
          ]
         },
    
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         "execution_count": 63,
    
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         "metadata": {},
         "output_type": "execute_result"
        }
       ],
       "source": [
        "df = pd.read_csv(\"2d_points.csv\")\n",
        "df.head(3)"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 64,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "image/png": 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\n",
    
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          "text/plain": [
           "<Figure size 360x360 with 1 Axes>"
          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 306,
           "width": 318
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "xv = df[\"a\"]\n",
        "yv = df[\"b\"]\n",
        "\n",
    
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        "colors = [\"rb\"[i] for i in df[\"label\"]]\n",
    
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        "plt.figure(figsize=(5, 5))\n",
        "plt.xlim([-8, 8])\n",
        "plt.ylim([-8, 8])\n",
        "plt.scatter(xv, yv, color=colors, marker=\".\");"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "In this case a suitable decision surface is curved and is looks like a circle. A hand-crafted classifier could classify new points based on their distance to the center.\n",
    
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        "\n",
        "\n",
        "It should be clear that a linear classifier is not suitable for this problem !\n",
        "\n",
        "### Example for feature engineering\n",
        "\n",
        "To improve ML performance we can try to enhance / transform a given feature-set by transformations. This process is called **feature engineering**.\n",
        "\n",
        "In the previous example we see that the distance of the origin of a point could be used to implement a classifier.\n",
        "\n",
        "Computing the distance of a point to the origin (0, 0) using the euclidian formula includes terms $x^2$ and $y^2$. \n",
        "\n",
        "Let us create a scatter plot for this transformation:"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 65,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "image/png": 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\n",
    
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          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 250,
           "width": 370
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "plt.scatter(xv ** 2, yv ** 2, color=colors, marker='.');"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "As you can see both sets can be separated by a line now !"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
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        "### Another example for feature engineering"
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "The so called \"xor-problem\" is a typical benchmark problem for machine learning. The following example illustrates this problem:"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 66,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
          "text/html": [
           "<div>\n",
           "<style scoped>\n",
           "    .dataframe tbody tr th:only-of-type {\n",
           "        vertical-align: middle;\n",
           "    }\n",
           "\n",
           "    .dataframe tbody tr th {\n",
           "        vertical-align: top;\n",
           "    }\n",
           "\n",
           "    .dataframe thead th {\n",
           "        text-align: right;\n",
           "    }\n",
           "</style>\n",
           "<table border=\"1\" class=\"dataframe\">\n",
           "  <thead>\n",
           "    <tr style=\"text-align: right;\">\n",
           "      <th></th>\n",
           "      <th>x</th>\n",
           "      <th>y</th>\n",
           "      <th>label</th>\n",
           "    </tr>\n",
           "  </thead>\n",
           "  <tbody>\n",
           "    <tr>\n",
           "      <th>0</th>\n",
           "      <td>-1.539782</td>\n",
           "      <td>0.950822</td>\n",
           "      <td>False</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>1</th>\n",
           "      <td>0.436266</td>\n",
           "      <td>-1.768324</td>\n",
           "      <td>False</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>2</th>\n",
           "      <td>-1.466436</td>\n",
           "      <td>1.391890</td>\n",
           "      <td>False</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>3</th>\n",
           "      <td>-1.037642</td>\n",
           "      <td>-0.953587</td>\n",
           "      <td>True</td>\n",
           "    </tr>\n",
           "    <tr>\n",
           "      <th>4</th>\n",
           "      <td>-0.691444</td>\n",
           "      <td>-0.219826</td>\n",
           "      <td>True</td>\n",
           "    </tr>\n",
           "  </tbody>\n",
           "</table>\n",
           "</div>"
          ],
          "text/plain": [
           "          x         y  label\n",
           "0 -1.539782  0.950822  False\n",
           "1  0.436266 -1.768324  False\n",
           "2 -1.466436  1.391890  False\n",
           "3 -1.037642 -0.953587   True\n",
           "4 -0.691444 -0.219826   True"
          ]
         },
    
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         "execution_count": 66,
    
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         "metadata": {},
         "output_type": "execute_result"
        }
       ],
       "source": [
        "xor = pd.read_csv(\"xor.csv\")\n",
        "xor.head()"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 67,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "image/png": 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38vHgUoZHwNO058Aal88CuJKI9sI+bgeXntwIfjBSYD3IPkQ0IMg+fkZW+S6jqfL/48C5GPH7JKLx4NKiv2j2XgSHsPQioodM9nPr7y5siOhT8PXuV7DTnAPAagC9icgv9MVn39MAbgTQFTxbcRCs75sA/nxmgSt6DY2W/UJ8oYhck9gpCI6gTYcuAbCLiCo7bI4rUEqNAPACgI8oq+SSIAiCIASFjGQKAotwA5nxYYIgCIIgRIg4mULcoyXezFZKdVRKFfZaX08pNRtAB/A0nV9tc0EQBEEQwkPKSgrZAQUWfe4GAEqp0+Bz36P/mAHgIfIvsycIgiAIQpiIkylkB9IBPAgesbwcQClwMPwuAMsAjCciu0TBBUEQBCFbIIk/giAIgiAIguW4IiZTKVVcKTVAKTVPKbVNKXVBKXVKKfWbUuoej6h1CP2VV0pNU0rtV0pdUkrtVEqNlyoFgiAIgiAI9uCKkUyl1EAA74G1yX4GsBtAabBWV2GwWG93CsJYpVQ1sCZhKbDO1yYATcAaeZsBNCeu9iAIgiAIgiBECbc4mW3AArjfEVGG1/oyYGHkCgBuI6I5QfS1CFyndzARve21/g1wjerJRDTQ4rcgCIIgCIIgeOEKJ9MMpdQz4LrBE4no4QDbVgOwDVyqq5qPw1oQPFKqAJQionNRM1oQBEEQBCGb44qYzACkaq9pQWzbWntd7O1gAgARnQGXKssH4GrrzBMEQRAEQRB8cbWEkVIqJ4C7tX+/D2KXWtqrUU3kreCp9JoAfgxw7GSDpvrgerA7g7BHEARBEATBSSoDOE1EVew+sKudTABjwE7dAiJaFMT2nmoupwzaPeuLRGBTjrx58xarU6dOsQj6EHzZsQM4ccK4vWpVoEgkX5sQ06SkAOfOATlyAAULAkpZ13d6OvD338btiYnA5ZdbdzzBds6cAbZuNW6/4gogp8N3w0uXgA0bjNtr1OBTXxBCZePGjbhw4YIjx3atk6mUGgzgCXB2eG+7j09EjfTWK6WS69Spk5ScbDTQKYTFM88Ao0cbt3/9NVC/vn32CM5z8CDw8ce8/Psv4IkfL1sWmDYN6NjRmuNcvAgUKgSkpuq316wJyO89pnn8ceDNN43bhwwBett+l8nKpEnAAw8Yt3frZn6JdBNpacDnnwOzZ/PPq3Vr4N57gaIiIugIjRo1wpo1a3Y6cWxXxmQqpR4CMAHAvwBaE9HxIHf1jFQWNmj3rD8ZgXlCNBgwAMiVS7/tuuvEwcxuzJsHVKkCDB3KwzveCYoHDgBdugAbN1pzrDx5gO7djdud9j6EiAmU3+qG/NccOSJrdwspKUDnzkCvXsBXXwHff88/44YNgV27nLZOsBvXOZlKqUcBvA1gPdjBPBjC7pu115oG7TW0V6OYTcEpqlblR98CBbKuv/JK4LPPnLFJcIb9+4E77+QhECMuXQLeece6Y44bB1Sv7r++dWtg8GDrjiM4wo03GrflzAm0a2efLUbceKO5I9mli322RMKkScAineC2XbuARx+13x7BWVw1Xa6UGgqOw1wLoB0RHQ2xi5+11/ZKqQQdCaPmAM4DWGmFvYLFdOkC7NkDzJ0LHD7Mj77t2gEJrnsWEqLJjBnsRAbCLI4yVMqV4ynxDz4AlizhUfVbb2VnNzHRuuMIjtC2LdCpE/Ddd/5tTz3FERhOcOgQMHUq8NdfQMmSQL9+wPvv+2/Xvz/QuLH99oXDJ58Yt33zDXD6NEenCNkD1ziZSqnnALwIIBlAe7MpcqVUIoBqAFKJaLtnPRFtV0otBmeQDwKPiHoYCRZ8nywamS6mSBG+ogrZlz17gtuudGlrj1uoEPDYY7wIQbFqFYfHHjjAES333QdUquS0Vf4kJABz5nBM49SpPFhepw5/1QMGOGPTn38CHTr45zt27cr2bd4MVKzIn+nAGCofYpa/mZEhTmZ2wxVOplKqD9jBTAfwK4DByj97dCcRTdf+vgzARgC7wKn53jwILiv5llKqrbZdU7CG5hYAz1r/DgRBsIxatQJvA/Cwj+AYY8dyrJ2Hb74Bxo8H5s8H2rRxzi4jcucGRozghchagYJQycjgmEU9h2zuXGDFCuDqGFVzbtIE2LZNv618eedGjXfuBI4c4cuLOLn24ZZ5SI92Uw4AjwJ4QWfpG0xH2shmYwDTwc7lE+BRzwkArpa65QH47Te+eXfowCmZZrofghANevUKnIb66KPmgXZC1Ni2DZg4MauD6eH8ef76UlLstysUnHQwAR4B3mKSGfDRR/bZYjVDhhjncA4bZn8C09atnDtapQo7wGXKAE88YSwmIViLK5xMIhpBRCrA0spr+53ausoG/e0hon5EVJaIchFRJSJ6lIhMBvIFvPIK0KIFMH06sHgxa35cfjmwcKHTlgnZiaJFOXjOd8ijaFHg7ruB5cv53HTaU8hmHD8O3HQT6zU+bFLg98AB4EfTUhfCkSPm7UdDzUZwEQ0b8qh2FS/Z78KFgVdfBR580F5bTp7k3L1ff81cd+EC8MYbwCOP2GtLdsUV0+WCC1i3DnhWJ5Lg0iWgTx9g926WehEEO2jWjAX6FywA9u0D6tYFWrWSJDAH6d4d+Omn4LaNZSfJDho04GckI+mkhg3ttcdqOnTgEe+//mKnrmFDIH9+++2YNo0vH3pMnQo8/zyPbArRQ5xMgZk507jtyBEe2bz5ZvvsEYTcuTnDW3Cc5OTgHUwAaKRbykLwULEiCxfoXXaLFXMuGclKEhKcPw9WrDBuS0sDVq9mTU8hesiwgMCYpQQG0y4IQtyyZk3w2950Ew88C+ZMncrxq96D83Xq8PN8qVLO2RVPFDYqyxJkuxA54mQKzFVXRdYuCELcUrJk4G2UAnr0MNdJFDLJl48lYXfu5Iz8lSu5uJXTo3/xxJ13GrdVrAhcc419tmRXxMkUmDvuACpX1m/r0kWGJgQhG3H+PJeLP3yY/+/Y0djRTEhgDfudO7loV3aRh/n3Xw4hOHAgsn4qVOAp26ZNJZfNatq00dcYzZuX4zVjpVRnLCNOpsDkz88poS1aZK7LkYPnc2bMcM4uPdLSOCFkyhSWXHJD4WFBiANSU1lmpkwZoF49fr35Zk7k+fRTHn3zRing7be5fkLFis7YbAVHj7IkU61anBV9333A9u36227ezA5hvXpcSahCBRY9OCclPlyHUsC773IN9VtvBa69lpUR1q7l706IPorkBh0SSqnkpKSkpOTk5PA7SUkBfvmFSx80bcoKtW5iyxYuOVGrlnPKuUYkJwPdunEhXA+NGvFVxG2foyDEGA88wLWnfalRgzOFjx3jZ7uNG4HLLuMElSuusN9OKzlyhKdNfQXEixZl6Zt69TLXnT7Nkzp6Gcs9evBIriC4jUaNGmHNmjVriMj2YAxxMkMkYidzwQLgnnuAgwf5/4QEvlK//baxgq3AnDoFVK+ur4/SqBHXadObb1q9mtM4T55kp75nT6BAgejbKwgxxN69XBIyI0O/fcoU4N577bXJDoYMAV5/Xb/txhuz1jt/5x3goYeM+9q6lS9RguAmnHQyZbrcTjZs4DF7j4MJ8BV9yhSeoxLMmTnTWIAvOZmnzn159llOWnrzTeDDDzlAp3594L//omurIMQYK1caO5iA/s8rHpg717ht4ULWefTw55/mfUUywRWLHDnCE19ur/AkOIc4mXby9tvGv8bJk3kuRjDm339Da1+yhKsY+bJrFweRCYLwfwIN7sfr4L+Zg0SUtfxgsWLmfQVq93DqFIcfRJo05BQ7dwKdOgGlS3NUVblyfKk1e0gRsifiZNrJ338bt50/7x8UJGQlUMzlZZdl/X/aNONtf/lFRjMFwYtWrYASJYzbe/SwzRRbadPGuO2qq7Jmy/fqZbxtuXL8GZpx8SIwaBAnVCUl8SXrpps4BD5WOHmS3+eCBZk5l8eO8aTRc885aprgQsTJtJPSpc3bRYHXnN69uQqMHhUqcC0zb7zDEvQI1C4I2Yg8eVggPKdOHbj77gOuu85+m+zgmWeAggX91yckAKNGZV2XlASMGOG/rUfzMjHR/Fj9+3O288WL/D8R8O23wPXXcwXfWGDatKx5l968+abU7RCyIk6mnfTrZ9zWrp1kRweiXDlWevZ1NIsXB+bM8b/CX365cV+JiUDNmtbbKAgxTJcuwKpVQN++XG+6Y0fOmJ40KX41HGvX5okNb0mbpCRO+Gnf3n/7F14Ali3jy/kNNwBPPQWsX28+Igpw7OJnn+m3bdwIzJ4d/nuwk2XLjNsuXOA8S0HwILXL7eTmmzk1ceLErOurVOHkHyEwt90GNGvGwwZ793Idtp49gSJF/Ld98EGOddUbIujb13xuUBCyKQ0bco5cdqJhQw7hPn2aZXgDxVa2aJFVUjgYzOpoA8Dy5Xwpczv580fWLmQvxMm0E49ycY8e/Eh75gwLtPXuHb9R9dHgssuCy8avVYv1M/v2BQ4dylx/113AhAlRMy/bkZoK/PMPzy9ecYWU0RBilmhWK9Kbkg+l3S10785CH3pUrMgqcYLgQabLnaBFCw7MmTGD1Y/FwYweHTsCu3dzlPrMmZxc9emnXFdMiJyPP2ZxxcaNeY6xalVzTZjszK5dwLx5PN+Ynu60NTELET+jX3cdh2K3bs3RMm6nQwf9CRcPd9xhny2RcPPN7Gj6kisXTxzJM6ZznD3L4RzVqvFofMeOwM8/O2uTiLGHiCUVfwQhHvDUavMlIYHnHlu3tt8mN3L+PGfOzJyZmY5buTI/ZF57raOmRZP0dM6aLlQIKFzYun6HDgXGjvVfP3Ik8Pzz1h0nGnz5JXDnnf7PGMOGAaNHO2NTOKSn8/Plxx9zZnnjxsCjj8Zm9aeUFJZfLl7cOK80Frh0iS+5vmEZCQlApUqNsGOHVPyJCcTJFASNxo2N1aevvx744Qd77XEr/foB06f7ry9QgLVdK1Sw3aRoQgS89Rbw6qusA5mQwKNfEyZEXt9882ZO1NEjIQHYscP9NdTXruWoqQ0bOJdxwABOIIrXxCq3cukSMHw4KyqcOsU/x3vuYb3PfPmcti50PviAzyU9EhMbITVVKv4IQvyTkcGlVb77Tr8AcqyQmmpe3mTlSvtscTMHDvCIpR5nz/L8YpwxejSPanmExjMyeNC7ZUvWWIyEefOM2zIygK+/jqx/O7jySnYIVq7kyJIbbxQH0wl69gRee40dTIB/jhMmcG5pLI69mZ373gUF7EacTEGwi1WrOBu+WTOgc2eOZezfP1M0L5bImdM8jdQs+Cw7sWGDefzl2rX22WIDZ84AY8bot+3cCbz/fmT9BypfKOUNnWfbNp6ydbNeZnKycRzvwoWxWULVrWHe4mQKgh3s38+ie1u2ZK5LT2etmEGDnLMrXJTiLH0jzNqyE4EKLLikAENqKvD776wXee5c1rb0dF4/e3bgomRr1rCjacTSpZHZGUiL0lvrUrCXzZs5xLhGDRZNKVcOGDzYnY5/oGSYn36yxw4r8a1F4o2TyVjiZAqxCxGwaBFH0l9/PfDkkxyU5UamTMmcl/Hlo49is/rQqFEsE+VLUhKXURG4IEDDhsbtffvaZooRc+ZwHlLz5lwu8LLLuHILEU/p1qjB67t357+7d+epRT3y5DE/VqSiDs2bc81sPXr04Kno7ExKCter6N2bT6158+wZ4Tpxgh8Ali/PXHfxIseeDh4c/eOHSqAEn0DnsRvp358nyvTwrbhsK0QkSwgLgOSkpCQSXMBjjxHxvTBzyZ+faOlSpy3z56ab/G31XhYtctrC8Dh1iuj114muv56oQweiiROJzp1z2ip3sW4dUenS/t/5s886bRktW0aUkKB/Sr72GlHhwvptt9+u319aGlGlSsan+axZkdt8/jzR448TFSrEfRYtSjRsGNGlS5H3HcucOEHUuLH/Z96xI9HFi9E99uuvG3/nOXIQ7dsX3eOHyq5dxuc9QLR5s9MWhsehQ0T33EOULx+/j/r1iT77jCgpKYkAJJMTPpMTB43lRZxMl7BsmfEVonJlvtu5iX79jO0FiNascdpCIZocO8Z34jvuIBo0iGjlSqctIiKizp2NT8lixYzblCLauVO/zwULiBIT/ffp1Mnan2VKCt9UU1Ks6zOWGTTI+PsjT9FsAAAgAElEQVQaPTq6x+7e3fzy9s030T1+OLz0kr6tTz/ttGWRk5bGD2MenHQyZbpciE0++cS4bedODjBzE3ffbdxWv77M88U7xYoBjz/OKuITJ7qmLIpZnenjx43biIB16/TbbriBp9nvuoun15s25bc8b561sWGJiRzSmphoXZ+xike30oholwkNpIPqxjzA4cP5nLz+eg4XadUK+Pxz4OWXnbYscnLkcE+9ESkrKcQmgbRQ3Jba2KoVq0i/+mrW9cWL891BNEwEByhWzDgcOCGBZYGMKF3auC0piQtrCfZw6ZJ5wtXhw9E9fs+exsoBlSpxIpAb6dKFFzeTng7MmsXL6dMclzxokMNxliEgI5lCbGI2EpQjB9DIds3ZwIwZA/z6K3DvvUDXrqz6u3GjeWKIIESR3r2N28yyVevVYy1+wR3kzcujxkZEe6KkZUvg4Yf91+fLx3UIpNRkeKSlsW5nr17At99yRdrRo7my0j//OG1dcIiTKcQm/foBZcrot/Xt697HvGuv5UzzOXOAp58GSpZ02iIhG/Poo/qyQLVq8RSr3tRhyZI8SimD7+5BKRbXMMKszarjT5jAjlD37ux0PvYYO0KtWkX32PHMzJlcyMCX48eB++833/fSJWDcOBa4cNIhlbKSISJlJV3Exo2s2+CpLpMrF9fVeuON2C5CK8Q3W7YAX3zBOkDXXstBjA4O9aSmcizaV1+xBE67dvwMV6AAt69ZwxEdR47wNHi/fjzNLrgLIh7levll4Px5Xle4MFe1MSo3KLibjh1Zpc+I//4DqlTxX3/sGIcBZIrKNwIgtctjAnEyXcjmzRx0VLcuxzgKglt58UXghReyrmvShMuMiOfmCCtW8IjRiRMchXP33YETWdzMyZPsXOTIAVx3nXlhLsHdNGtmXqH3r7+yhkKcOMG6pJ995quPKk5mzCBOpiAIYfH99zxqqcedd7KnI9gGETBsGDB2bNb15ctzxRezGEdBsIPHH+fCCHoULQrs25eZRZ6ezklBf/yht7VzTqbEZAqCINjB5MnGbV9+yXNcgm0sWeLvYALA3r0cEiDEF2vXcthAs2ZAt248eeB2Hn4YKFRIv+3JJ7PKFC1caORgOos4mYIgCHawe7dxW1oacOCAfbYIptqRy5cDW7faZ4sQXWbPZjWEDz7g6ee5c4Ebb3R/9dsqVfhhyHtKvHBh4KWXeBTem2XL7LUtWEQn000Q8aPIv//ynE3bts5qP2zfDvz9NwviNWvGwnmCIIRHzZqcRaNHnjxAhQr22pPNOXQocLtMmcc+586xapxeDffRozkb3s0qclddxZeNLVtYC7VuXZaG8sWtsbfiNbiFffvYkWvWDLjnHhapq1mTI3vt5swZFueqXp3nFa69Fqhd27w8iCAI5jz0kHFbnz6xnW0SgzRoYNyWKxdf8oTYZ9Ei89ods2bZZ0u4KMWyYo0b6zuYADvLbkScTDdABNx6q39AxX//sYaBWSmHaNC/P+s4erN1Kzu+R47Ya4sgxAvNm7NGap48WdfffDPLbgm2MmiQcem9fv2AEiXstUeIDoFun3bfXqNF3bosvaxH+fL22uKNOJluYPly4M8/9dsOH7Y363T7dg5g0eP4cQ5qEQQhPO69lzNLpk0D3nqL58G+/tp4eCJINmwAxo8H3n4b2LHDIlvjnGrVgPnzs9ZtUIoljMaPd84uwVqaNTNvd2vJy1DZt49VEbzJnx+YOhUoVcoZmwCJyXQHGzZE1m4lgUoDrF1rjx2Ce7l0CZg4EZgxgzOiGzfmVMd4uVpHm1y5gLvusqRgQFoa+63Tp2eue+QRTgp4+WWpyhOItm3ZKV+2jKdUGzfmWttC/FCzJnDHHfrT4rVrc2RYrEPE4uu+EW3nzgHPPguULeuMXYCMZLqDcuUia7eSQI88Tj4SCdaSlsZhEffeC9x3H/DNN/rR8b773HILMGQIJ4Xt3culYq67Dpg3zx673Q4Rpy43aAAkJnKK6CuvcEprUhJrkuTPz/Xrt22L6FCvvprVwfQcfvRo4JNPIuo625CYyM5mt27iYEZCSgo/d95+O9CjB/8ELl1y2irmww+BBx/MfK5TCujUCfjxR//olVhk+XLjlInDh3kS0ilEjD1EoiLGnpICVK3K492+5MrFN6KiRfnGFO2hiYwMoE4dTmXTIzmZb5RCbHPuHGt4+OpedOjATqPRlXfWLBYO16NcOWDnTr5rZ2deeIEr+wRD6dL8m/Kesw0SIt7NSPmoShX+OkuUAHr14sSBaJKezs8s8+bxJa1tW85ncmvWq2AdZ8/yufb771nXX3UV8MMP7slpO3mSUx3KlLF37CbaTJliXsu8ZMlGOHJExNizL7lycRxk0aJZ1ycmcoWQhg2BggX5jvLKKzyaFC0SEjgGVK/E3ejR4mDGCy++qC+stmgRMG6c8X5z5xq37d8PrFoVuW2xzIED/BsNlkOHjEt6BODcOXNpzR07gEmTgFGj+LnxrbfCOkxQXLoEdO7Mo1izZvFpMmgQTz8HkgoSYp9XXvF3MAFONRg50n57jChShG9h8eRgAoGdeCef+8XJdAtXX80jluPH8yPJiy/yFOTXX2dWAjlwgAMsBg6Mri2NGgGbNgFjxnAwy+DBPNriq/4qxCZEnHhihFlbSop534Ha453Fi0N/CFy8OKxD5csHlCwZ3LZEHKtpJNMZKe+8w1Uzfdm0icN1hfjm44/DaxMi58QJ84mTXLmA4sXts8cXcTLdRLFifCeYNAlo1YoDRvT44AO+ekeTkiWBoUOBzz4DJkyQEcx4IiMDOHrUuP3gQeO2tm2N2woW5Pmx7Ew44UdhDjMkJJhPkekRLXEIM0fi88+Bixejc1zBHZhdTo4dC+9nIQTHK69w/RY9lOLfpoxkCv4EGt344Qd77BDijxw5gHr1jNuvuMK4rW9fTtfUY/hwoECBiEyLedq1C71KV5cuYR9u+HCW2A2W/fvDPpQpZk5GSkr8aBGakZLCYQKjRvFkwOnTTltkH41MIv2SkkTlIJp88YVxW44cnF/oJOJkupVAjx45RX1KiIAnnjBuGzLEuK1gQWDpUpbg8ZyjlSoB774r86IAx00PHarfpleWtW5dDkcJk9y5Odnm99+BESOAxx83397s2SISzJyMSpWcna6zgy1bOO61Wzfguee4aFvFimFHQsQcTz1l3Gb0cxCs4dw547a0tOimcAQFEckSwgIgOSkpiaLOX38R8SyD/5KQQLR7d/RtEOKXjAyil18mypMn87zKl4/ojTeC7+P8eaLDh4nS06NnZyySkUE0eTJRnTr8uZYvTzRyJNGqVUS3305UpgxRlSpEQ4cSHT9u+eG7dNG/bOTLR7Rrl+WHIyKiX3/ly5Lecd99NzrHdAvp6UR16+q/9/z5iQ4dctpCe5g6lahYscz3XqQI0TvvOG1V/GP0eweIGjfmbZKSkghAMjngM4mEUYhERcLIiIEDgcmT/dc/91zwEimCYMbx48Avv/B8VuvW7tEaiReIbJ8rPHmSVaa8E3FKlwY+/dQ8pDZSZs8GHn44M6S3QAHOUxw6NL6nS3/+GWjTxrh93DjzyYF44sIFYMUKPu2bNYu4kJUQBKtXc8VavZzL+fNZ9aFRo0ZYs8YZCSOZc3Uz777LAS2TJgG7dgE1avDUmpFOYbyTksKJSPPnc/JKx45A7958B5s+PatA3wMPxP8cnRUUKxZaUJ8QGg54V0WKAAsXslZ+cjLn8LVvb0mBIVNuu43LsK9cyT/DJk1Ydz7e+e+/yNrjibx5zR1uwXoaN+bf+2OPZRbsq16dFQc7d3bWNkDE2EPG1pFMIZNz5/hO6SvGdvnl/Lj8xx9Z11esCPz6K78KgiBECRnJFNwAEY9FpadzIQbvEHAZyRSEQIwera/2u26d/va7d3Nyy5dfRtcuQbCC06d5vnnvXs7OuekmFrgTXE/Llpy/pScjkz8/cPfd9tskZD+UAipXdtoKf8TJFGKDGTNC32fePOD8eXcFBp09y2KFCxfyo+ZNN7EsUN68TlsWv6SkcLnLIkWAUqWctsafxYu52POpU5nrqlThcyTatSCFiElI4EvNDTdknRovXJjlZdx4ygmCXYiTKcQGnqpHoZCentXJPHOGYzrXrePitb16sb6KXRw9ysMe3kMeCxeyqN6SJZJ0YzUZGTxX+dprmUKOHTpweZpq1Zy1zcPhwyxk56tDsmMH62du2KAvfSS4ipo1uT7G/Pn8877sMpYzyg4xqYJghly9hNigcePQ96lRIzP5Z906HhW6/35g4kRWsa5eHfjoI2vtNOO55/Tn1Fav5nAAwVpefJFLoXorhS9axI5+OA8t0WDGDGOhu02bWJM0SJYu5YHxChVYt3LiRBdo5GUjEhP5eWH4cKBfP3EwBQFwiZOplLpNKfW2UupXpdRppRQppT4Jo5+d2r56i0mtPMH1mNVNN6qw8txzHKiSkcHTkQcOZG1PS2PV5G3brLPTCCLWkDHCrE0IndOneQRTj337gPfft9ceIyxKTZ4xg5NPvv2WwzrXrGE5oTvu4NNfEATBCVzhZAIYDuAhAFcC2BdhX6cAjNRZDO44QkzQsSOPOpYsmbmuaFGe+ly4MGupw1KlWPapd2/+f/ly41rv6eksfxRt0tPNa+sdPx59G7ITf/1lXgpj2TL7bDEj0LR91aoBuzh/HnjkEf360HPmZNXLFASBL8fLlnEs7a5dTlsT37glJvMxAHsBbAPQEsDPEfR1kohGWGGU4DLuvhu4/XZg1Sq+SjRpkhlvuXEjT0WnpAD162fNzN2717zfQO1WkDMn0LAhOz96FCsWfRuyE/nzR9ZuF717Ay+8wAlhvtSpA7RqFbCLX34BTpwwbp87F7jxxvBNFIR44rff+Ge3cyf/rxRXyZ0yxV05ovGCK0YyiehnItpKItopBCJ3bqBFC775el8REhLYuUxK8pd+qVvXvM86dSw3U5drrjFuO3DAfzo/Hjh1CnjpJf5eLr+cFYP37In+cZOSzEcBe/SIvg3BULIkD6cUKZJ1fdWqwFdfBZX0o1fpI5R2IXuSkcH5hhMmcBb8hQvRPV5qqv5ou53s2cMqAB4HE8iMZBo0yDGz4hpXOJkWk1sp1Usp9YxS6hGlVGullEHQnpAtaNCAkz30KFSIJYTsQG+0ykN6ur4OaCxz4gTXO3v+eR7BXb8eGD+es1K2bIms7+XLgf79eYhu6FDOxvYmIYGHJvLk8d/31lvdVeXo+utZ13XaNHbI58zh8A7vEBATmjc3r+YTzVKSQmyyZw8/h7VrBzz6KE8QVarEo+JWQgS8/TZHheTKxaIew4cDFy9ae5xgmTTJ+DI8Y0Z8Puc7jhMF080WAK0AEIBPwth3p7av7/IfgJYh9pVssJxLSkoyKVcvuJKDB4maNyfi6x4vZcsSLVtmnw0DB2Y9vu/y3Xf22WIHTz9t/F5vvjn8fl96yb+/vHmJlizx33b9eqJ77iG64gqiVq2IPviAKDU1/GO7lGee0f+YGzQgunDBaesCk5FBNHkyUb16RDlzElWpQjRmDFFKitOWxR8ZGUSNG+ufLwULEh06ZM1xjh4luvJK/ePccANRero1xwmFTp3ML8E//GC/TXaQlJREAJLJAZ8u3kYyPwTQFkAZAPkBXA5gMoDKABYqpRo4Z5rgKKVLc5nJFSuAyZOBr7/mOZMWLeyzoXt347bixeOv6O/s2cZt334b3vzc2rWsGuDLhQscaOU7N1yvHmeS//031//r35/jY+OMUaOAN95gfUaARzb79uXpUL3BXLcxbBiri23YwKIPO3bwul69nJ9ijTf++INV0/Q4c8YaVbdz54Brr+Wfqx4LFwI//RT5cUIlkDC+COdbT1w5mUQ0koh+IqJDRHSeiNYT0UAAbwDIC2BECH010lsAGKQpC65HKeDqq4H77gNuvtn+sn2tWwN9+vivT0gA3n3XWW9g40bg8cd5Gvmpp4CtWyPv08yJzMgALl0KvU8zqacDB5y5c7kApTjcdfdu4NAh4ORJ4MMPgRIlnLYsMLt3G6tNffEFPxcK1hEoUiXSSBaAzz0jQQ8PCxdGfpxQMYuMatiQw8YFa4krJ9OESdrrdY5aIWRvlOK4u48+4hjR2rU5GGr5cusSUS5c4Gz5ULI9ZszgpKk33+Rkk3HjeARw7tzIbLnO5OfWoIF/skswBJJ6yuZSUAkJPBoTC6OXHhYtMtfy/O47+2zJDlSsGFl7MATjQBrJG0eT664Dnn3Wf33p0sDHH/MlWrCW7OJkHtFeXaJbImRbEhJYimnpUh49nDWLR1cj5cwZYOBAnnavUIE9jaefDuxsHjoEDBjgf5dPTeVRV+962qHy9NPGmiAjR4bXZ6DKT+FUhhIcJdB0uEyXW8elSzyFbfQQkiuXNXmQwThrN90U+XHCYdQoYOVKzia/807g9ddZ/a5+fWfsiXeyi5PpuYsHVz4jEJcucfxXoUKst3frrRzzJQhOkJHBV+zJkzOnqE+dAsaM4RhEMz7/3NgRPXs2stHM+vWBH38EmjbNXFezJsdq3nJLeH326gWUL6/f1q1b0BnZgnto3968vVMne+yId1JSWL7nscf0s7vz5AFmzuRn1Ejp3Nm8/bbbOGbTKZo25bKrM2dylJDIFEePmHMylVKJSqnaSqlqPuvrKKX8RiqVUpUBTNT+DblUpS6bNwOffMKjR+fP8xTjNdcAycmWdC8IIfHDD8baI59+ql8v3cORI8ZtwbQH4uqredjgwAEurbFpEzuD4VKwoL/jmpDAzqeddeitIDWVR5JTU522xFHMYvcKFQKaNbPPlnhm+nTOfdOjXDnOg4zkp+lNnz6sVKZHz57AZ5/J1LQv27cDzzzDpWCfeYb/jwdckWaplOoCoIv2bxnttZlSarr291EiGqL9fRmAjQB2gbPGPdwO4Aml1DKt7QyAagA6AcgDYAGsKi2Zlua/7vx5DvaQGm6C3RjdObzbjQTpk5LM9zW6U4RKmTKBtwmWmjXZcf33X3Ze69Thu2SscPEiZ8hPncojzoUKAffey/N4sRRMaRGfmDz6nz7Nk0QNG9pnT7zy5ZfGbfv382ddurQ1x8qbl58FX36Zn3OPH+fnzWHDgA4drDlGpBDxs/lnn/GkTfPmPEFZsKD9tsyZw1P33s+br73Gtlnl+DuFK5xMcM1y37TbqtoCsNM4BOb8DKAWgIYAmoPjL08C+A3ADAAziKIc3bN4MU+lmykjC4LVBHJMzNpvuokdUL3RzsaNOSPerdStG7iakxu56y6u8uPh9GnQ66/j95U5sPvBMahRU6FRo+wz0mNWEjOYdiE4zp83bw9WUezSJY6yWbCAz9FOnThv0Veso3BhYOxYXtwGEfDAAxxh5GHmTHbsfv6Zhemt5MwZfrYsUcL/d338OIfp+05opKby+tatY3w63wlxzlheACQnGSm5KkV08SIJgq3884+xunBiYmB15d27iVq0yLpfu3YsYC9Yy6pVft/RJtSky/F3ltXNmhHt3eu0sfbwwgvGp2+uXERHjjhtYXxgVhuhZEmiS5cC93HqFFHTpv77N29OdOZM9N+DVXz5pfFn0aGDdcfZtIkF4JXivmvXJpo1K+s2kycb2wJwe6SIGHu8cP31Moop2I+nJrgeY8cGVhiuUAFYtozLPn77LQfJLV5s3dxZdicjg0cue/TggDQvLiI3OmAR1uGKLOtXrODkCTNpn3jh/vuNR2ruvz82tD5jgYceAkqW1G977rngZINHjmQxd1+WLwdeeSUy++xk+nTjtkWLOHwgUvbtY8mk777LVEjYtIljLr3lfg8fNu8nULvbESczHPQEvvLm5QCUaHHmDAcvvfkmy994zlo3QsR1uGfN4mQoN9saL7z+OgfwtGoFVK3KaaQLF3Jh4mCpV4/nvmrVipqZ2Y6MDJ7z6tqVg+J8RO7noBt2ZQktz2Tt2sDhtvFA2bKcu3aFl5+dOzfw8MN8WgvWUK4cxyB617K/7DKuA/HQQ8H18fHHxm2xlHcXyHGLNN8RAMaPNz7Os88C6en895VXmvcTqN3tuCUmM7aoXZtHj77+ms+U9u35ES9QEkW4fPstZ896axZedRUwf777Rpu2bOHyif/8k7nummu4dIen5p1gPUrxI/IddzhtieDN7NmmVYrWwbzEyD//ZHUK4pWkJHaq16/nGLX69VnyVbCWOnW41OiRI5zsUqFC8FVWiYBjx4zbjx61xkY7aNAA+PNP/bYCBYBq1fTbQuHHH43bdu3i0qnVq/PxEhL0Zy3q1ePxglhGnMxwyJ2bR408I3TRjNDfsYNFxXxL8P35J0+9LVkSvWOHysWLnDq4c2fW9b//znN/ycn8axKE7IJZ6jSAMjho3m5hUr7bUUrK+tlFyZLGU+dGKMVZ/mvW6LdHa4wlGgwezKOyehLBDz7Ijl+kBIqcy5WLk3t69zYOi5kwwZnKSFYid/xIUCr6KaDvv29c4/nHH801EO1m3jx/B9NDdpn7cxt797Lq8NixLPsjoQvMd9+xGnSuXDwb8MQTXPDbagKkRt9Z8kfkSdD/fRcrFr5mvSBEg6FDw2tzG5dfzrersmUz1+XMyQ7mqFHWHKNrV+O2xo25fOfPP/Ml2ogffrDGFicRJ9Pt+MRwhdxuJ95T5OG0C+Fz8SLPf3nz2mtA5coc3DZ0KKtad+4cWMsk3pkxgz+H5ct5KOHwYeCNN3heOlgdl2Bp0sS4rWBBlP5vBT6elRuJiVmb8udnmRijqpxCfLBiBUvpdO/OBbqsiAWMJj168DNr4cKZ64oUASZNArp0Md7Pjdx4I09bL1nCDueuXcA778DvtxguDzygP7qbLx/w1lv8d7RrYbgBmS53OxUrmrdbLegVCYHm9rLT3J9d/PsvO5ALFvCcS5MmwEsv8Yjlk0/6b79gAa9/5x37bXUDKSn6nwvA84Aff8wpzVbx0EMsun7mjH/bI48ABQqge3cOsf7wQ77R1awJ9OuXdZQlHklLY0d6zhx+RmrTBhgwgJ2W7MDzz/NP1cPs2cC4cez0REt8/sQJjvT67z/OD7zzTqBo0dD6GDSI65v//jtP5F1zTew+DCUmRi/muUABztF9801OSTh3jrPNn3qKYy2BwEk9cVGEwAndpFheACQnJSUZ6lFZzr//EuXIoS+g1bQpUUaGfbYE4uBBoty59W0tWpTo7FmnLYwvtm8nKlbM/7NOSNAXs/MsefNm3+9ixQrjzwUg6tw5OsesWzfzGPnyEQ0bRpSWZv2xYoSLF4nat/f/+CtXZtnWeOe334xPwXr1onNZX7qUqHDhrMcqXJjXC87RqZP+eVCmDNHJk9YcQ3QyBWPq1AGmTfMXMatRw30FYEuX5pEg3/mGfPl4yCK/X2l5IRLGjuVUXF8yMrgWnxEXLnA5xuwIBYhJDdQeDldfzWnTa9eyhsz+/cDo0bEf0R8B773HUqy+7NxpLPkaT5jJ/WzYAKxebe3xzp7lGEFvgRKA/+/a1T/SRrCPTz/1DzWoX5/jMb3DEmIVmS6PBe6+G2jXjnUnDx/mMfQuXYJTz7WbHj2yzv3VqAH07x9btaVjBb27tIeLF43b8uTJvqELSUksTm8kYNepU3SOqxTrpggAzJPuv/qKowucqCFtF3bH4s2Zo/88CvD6OXOAPr6FnQVbKFyYY0K3b+cHjLJlOTHITeNHkSBOZqxQtmzsPOJXqQK8+KLTVsQ/4Uao3323NRodsUju3DwC3Levf1uDBnKntQmzpPv09Ph3Mhs2ZGdaj4SErML0VrBnj3n77t3WHk8InWrVrNHndBsyXR6rbNjAEcVvvcWPQEL2wyyds3Vr1uLwfRxu21bKqPTpw4UUrr6a7+jFi3MSzs8/x24GQ4xx1VXGbRUqxP9A+333GSc49eoFlC9v7fECFfGSIl9CtFAUjRikOEYplZyUlJSUnJzsjAFpaXyF+vDDrOuffBJ49dX4GWMXAnP0KDtKvg8ZBQpw7F9SEov5z53LqY2tWgEtWsg54g2RfB4OsHo1ZyWnpvq3vfMO6xXGO6tWsRD3li38f0ICcNddwOTJ1j/rXLrEqgV6I5YVK7INgcTDjbh4kTPjV6/m57WePTlzXXAPjRo1wpo1a9YQUSO7jy1OZog47mSOHg0884x+27RpXB1o3DhOCjp9mq/kw4YBTZvaa6dgD0eOsMDenDksz9O2LfD000Dduk5bJgimLFjAzuSuXfx/4cJc03nIkOzj92dksLN55AjL2VSoEL1jbdgA3Hwzyxd5qFoV+OabTEmdUNmxg9MFvJ9zExK4Uk2w9dCF6CNOZgzhqJNJxFehffv02xs25IxV39TEnDm5znnHjtG3URAEIUjS01me9OJFHngXAYrokpYGLFqUqZPZoUPwtcv1uPZarmmgR3JybJWajGecdDIl8SeWuHDB2MEEgI0b9bOK09I4Du3AAakdLgiCa8iRwzw+U7CWnDmtE1D4919jBxPgGgTvvWfNsYTYRTyOWOHDD7ngqhlmj6SHD/MUuiAIgiBESKCMdbOa3EL2QZzMaJKWxqq7N9zACRfDhoX3y3v3Xdaa9A6m0aNUKfP2Tz8N/diCIAiCH+npwWv379nDz/hffcU5eFZAxFJPaWnW9BcqgTLSa9e2xw7B3YiTGS3S0oBbb2U9vu+/B377jbO/GzQA/vkn+H4uXQJeeCHwdg88wAE2ZhgJUAuCIAhB8dlnnKSTMydQogTw+OOcY6lHWhrX+q5cmTPHb70VuOwyczH6QBABkyYB1asDhQpx7fEHHwROngy/z3CoXNlYRS13bmDgQFvNEVyKOJnR4uOPgW+/9V9//Dg7hMGybh1L1RhRtSpv8+67wKOPmvdVpUrwxxUEQRCy8NZb7Cx6qrYeP85yxddfz+MBvrz4Il+aMzIy1506xfUQfvstPBteeolvIZ6JrbNnOfaxXTsWmLCTadNY0MKbokVZ0sv4+v8AACAASURBVCgehcWF0BEnM1qYxT/+/nvwJRYClY6sWZMLnXr+vukm423l0VIQBCEszp4Fhg/Xb/vzT+Dzz7Ouu3QJmDhRf3siYPz40G04fpxV7PRYvRr48svQ+4yEokWBJUv4/b/3HvDFFxwR1rmzvXYI7kWczGhhNH/i4dSp4PqpX5/nRYzo2jXr/9On+2tiKsVair6PnCkp+o/fghDLHD3KFXzKluX5xE6d+MFOECLg9985BtKIhQuz/r9/v3n5zPXrQ7fh11/1BUQ8LF4cep9W0Lgxj2F07y5Fs4SsiJMZLa65xriteHEedQyGhAQugaFXp7pFC5538aZYMb4aLljAysZjxgDbtgFDh2Zus24dP2rmzQvkycMlCM20KAQhVjh5ksX73noLOHiQvYIFC4CWLZ27AwtxQSD1N18B+eLFzQU/ypYN3Qa924A3kWheCrHByZPADz9wuIVTSV+hIE5mtBg8mEdR9HjqqdBqeLVvD6xYAfTowTXALr+c50wWLdLvJyGBM9pHjWLn0rvG16ZNfBP+7rvMQKGlS4E2bcTRjDWI2HF64AHgnns4RMPuoCy3MXEisHmz//q0NM7QkOITQphcc41xvXHAP1KpUCEe2TOif//QbWjZkisjGXHLLaH3KcQGRJwDXK4cuwQtWnDy1fz5TlsWACKSJYQFQHJSUhIFxapVRA0bEvH5QVS0KNGYMUQZGcHtHw169sy0x3dp1co5u4TQSE0l6t7d/zts1Ijo+HGnrXOOJk2Mz2+AaPt2py0UYpgpU/RPqxYtiFJS/Lc/fJjoiiv8t7/nHqL09PBsmDpV34ZOncLvU3A/48bpf+85cxL9+af5vklJSQQgmRzwmWQkM5pcdRXX1tqyhV/37eORRScL85pNGS5dKjGascLkyfpR/snJWUMjshveabzhtAuCCffeC3z9NY9q5snDVX6HD2eVOr2p7JIluTb5p5/yvoMHA8uWcTWcUIqvbd8OPPYYj159+y1HQrVpw1PydesCY8cCc+fGT0G3xYs5lLpKFX7PH32UvSch0tKA114zbnvjDXvtCQWpXR4ijtYut4Jy5bi8pB4JCRxVHijwR3CeRo246LMeefNyxkEoIRnxwvPPs8aLHjVqcLhIvNyJhWzBsmUc/XT+fNb1/fsD77/v7JhFNHjnHeChh/zXDxyYfctU7trFU+NG1KypHyXkwcna5XK1zW7cfLNx2403ioNpF3/8AQwYwAL6gwdz3flA/Pori+HlyQP89ZfxdhcumKfBxjODBwOVKvmvV4qHe8TBFGKIjAx2Jn0dTIA1Kr//3n6bfElP51zTJUsiF4Q/fhwYMkS/bdIkHhXOjhQpYn7pKlHCPltCRa642Y3hw3k005dChYwF2ARrGT8euPpq4IMPeF7o7beBK67g+S4jvv+eVQCWLOGQBrMZiHLlWGUgO1KiBKdd9unDI7oAz20uXGhcnkQQXMrq1TxVboSZHLMdLFrEeaXNm/Pzb7lywHPPhR+VsnChuUST2SUynilc2Dypy1dkxk2Ik5ndKF+eR9EGDmQNjVKlgF69+BHRI+ouRI/t24EnnvBfn5YG9OunPwJJxJnR6enBHeOJJ7L3iF358qwXe+4ckJrKqgmBSq4KggsJJKccrNxyNPjnH54Y864rcuECi5q8+mp4fQZKCTBzQOOdt97KKhTjoUsXFhdxK6KqlR0pX56DW0INcCHieZH58/lR9YYbgFat4i8oKJp89pnxY/7p0xzVf+edWdfv3BncdHpiImcHPPZYxGbGBUqJcKAQ0zRsyEXfjJTJmjWz1x5v3nzT2K433uBn3UAF63xp2dK8vU2b0PqLJ8qX5yip6dM5RzdvXpbIuvlmd48puNg0wVWkpQE9e7LG5quvAuPG8S/+llskIz0UzEqAGLUHSs6rXp0zzffs4e9GnH5BiAtKlAAefFC/rUwZDut2itWrjduOHuVklVCpVs34PTVrxhnn2ZlChTjsfO5cVizo0sXdDiYgTqYQLBMm6AcAzZ8PvPKK/fbEKlddZd7epIn/uipVgFq1jPfp2RO47TagdOnIbBMEwXWMG8f1O/Lnz1zXvDnw00/OJnwUL27cphTXNQ+H995jkQhPWHmePCz/tHAhkCNHeH3GK2lprJC4Z4/TlhgjTqYQHFOmhNdmFVu3Ai++yFPBM2fGbnBO165A7dr6be3acRFgX5QCXn9d/5G1ShV9vQ9BEOKCnDl5guLAAeDPPzms+7ffgDp1nLWrd2/jthtvDN8BzpkTGDmSq8Lu28cZ51OmmFc6yo588AHLGtWqxYUAmzZ1Z/a9OJlCcOzda9x28GB0i6i++Sb/kl54gTOze/bkbGzviPNYIVcuLjzbtm3mOqU4uEZPXN1Dp06cWd6qFT/OFyzI80rLl7tbv0IQBEsoWJCfQfWSP5ygTx+eQPGlYkWu7hopiYmcre4RiRAy+fBDvvzv25e5btUqvq1s2eKcXXqIGHuIxLwYe7gkJRlrM1arBmzbFp3j/vEHy/3o0aoV8PPP0TmuHWzbxs579eoc1R0sRBJ3KQiC42RkAN98A3zxBYs5tGzJup5mNd6FyMjI4AcNo5jXe+/1n1x0UoxdUi+F4HjkEaBvX+O2aDF1qnHb0qU8jV6jRvSOH02qV+clVMTBFLIZ6en8TJY7N2vty0/AHSQkcPKJSNDax9695klVv/1mny3BINPlQnDcfTer7HpHXickcIxkNGMCA0U0m03jC4IQ83z8MYce167Nr40bs5KaED0uXODP/bHHOK8znExxITrky2fe7p0g5gZkJFMIDqU48WbgQE7zI+JEFb0SflZSpw5XxTGyKVZHMQVBCMinn3Lsnzdr1vClZ9UqoF49Z+yKZ7Zu5c/X27F8/nku6+ikZJLAlCjB6oE//aTffvvt9toTCBnJFEKjXDkuLzBgQPQdTAB44AHjeurdu4cWyygIQsxAxFnGepw/z6Xo3YanXoVHMDvc8opOQQTccYf/yGV6OnD//cCGDc7YJWTlrbf0JaSuucZYV9UpxMkU3E2tWpx17RtJ3qGDPdJJgiDYxsaN/Pxavz5Lsmzdarztr7/aZ1cw7NrFU/nNm3OF2Nat+X0EU6zLLaxZw4seGRksmyM4T716nIf7+OOck9u8OQuvLFkSeDrdbmS6XHA/t9zCsZfffccVca66in9ZgiDEDcuWAR07cjxgMBQoEF17QiE9HejcGVi/Puv6jRv5PW3ezKLibidQiLuEwNtLSgrwzjvAjBlcRalRI2DIEHYqK1Rg+WS3I06mEBvkzw/06OG0FYIgRAEiDvcO1sEEjGPPiIDZs3miY88eDut+5BFWPIsWP/zg72B62L2bywDedVd4fW/ZAiQn8/Ro69bG0UNWYFZYDDCuIyFYT3o6Z+0vXJi5bs+eTMmobt2csy0UZLpcEAQhGmzbxsMON94I3HefO8txuIQNG0KbVr7qKmPltCee4OfRJUt4BPGrr9g5i2Z0TaBYRSMH1IyzZ9mRqFWLHdQOHVgf8ZdfwrMxGGrX5uPokTevJP7YycyZWR1MDxkZLOiSmmq/TeEgTqYgxAOrV7NDc999nHUQypCQYD0LFnBA3uuv851i6lQOMnzjDactcyXnz5u3V6zIU4XNm/NHunSp/nT52rVcIEyPRx/laJtoULaseXu5cqH3ed99PALqzd69XPwrmrWqP/kEaNEi67rixdlZr1gxescVMjl/nuWjjDh4EFixwj57IkGcTEGIZYiAp57ioZ3XX2dnpl8/4Mor4z+AauVKLhDQsiUPsThRhWvnTtZ36dkTGD4c+O8/dvDvvhu4dMl/+yFD3Ff3zQVcfjlQtKhxe//+/Bz122+c7GCU3GBWmfXCBQ7rjgZduuhn+wJs6x13hNbfnj3ArFn6befOAZMnh9ZfKJQowaOlK1YA777LoQd79gDt20fvmEJW3n0XOHbMfJuUFHtsiRRxMt0IES+CEIgFC4Bx4/zXb9nCQyHxyjvvAM2aAR99xBkjH3zAjvb06fbZ8PXXPL/40ks8t/Xyy/z/888b3yGIWPxRyELevMAzz+i3lSnDSmbBEGgA34oB/j//ZBW31q3ZuZwxg+Mkv/yS64t7kzs3nxolSoR2jH//Nb8F/PNP6HaHglJczfeBB3jKXuqH28vs2ebtefMCTZrYY0ukiJPpJtavB7p25TMoXz7+dYswmWDGtGnGbQsXAvv322eLXezZox+QR8R3xaNHo2/DyZNAr17+o5WpqcCECeb7Hj8ePbtcxO7dPMjeogVnXs+cyckMRjzxBOv/eU89t2/Po2qlSgV3zJYtzduvuy64foyYPJlv7tOm8ZT911/zoHXJkjyFuW0b63feey8wahSwfTuLY4RKmTKRtQuxTaCHoQcfBAoVsseWiCEiWUJYACQnJSWR5axbR1SwoGcMM3MpVIhowwbrjyfEB82a+Z8z3ktystMWWs9rr5m/5ylTom/D+++b22C2TJ8effscJjmZqEgR/7ferRtRWpr5vqmpRNu2ER0+HPpxU1OJmjbV/9h79w7vvXjYt48oZ07zr/b77yM7hoeMDKKkJOPjrFhhzXEEd/LQQ8bffbFifJ6HQlJSEgFIJgd8JhnJdAsvvACcOeO//vRp47IXgmBWVy9PHqBaNftssYtTp8zbT56Mvg2HD5u3G33uVavGvRQXEY/k6X0Nc+aw/IoZOXPyx1eyZOjHzpmTB/D79AFy5eJ1hQoBTz4JvP9+6P1588UXQFqa+TZjxkR2DA9K8TS8XsLQyy/zVHa8cfIkj3xXqgQUK8aj38uXO22VMzz+uH/9EQ9vvMHneawgTqYbIDKPSP/2W/tsEWKLhx82vuLccw9QuLC99thBoDusHXfgBg3M20eM4LKnSmWua96cdXXiPMBt61bjqjEAT5tHk6JFOTT36FGerj50iKewPU5nuATz7PLHH5Edw5u6dTk28+232Wl+4gnOnjeKXY1lTp3iUIZx4zjM4sQJviW2aqUv4xPvVKnCYSLe4R+VK3MIep8+jpkVFjHkD8c53jejUNqE7M0VV/AQy4ABWWP9evYEXnvNObuiSYcOXL9v9Wr/tpYtgWuvtceG+vX1BRBr1+Z04l69OH5082bgsstYFTwbEGigOVC7VRQs6J+IEwlNmwbexixDPhwKF2ZNxHjl4EHg6adZNklvlDgtjaWnOna09za4dy87+GXKsPKBE7fgK67guN/Dh1nSqGJFICEGhwVj0OQ4RCkWPzOic2f7bBFij1tv5avi11/zHNu2bXzVjoU6duGQIwdn1d9yS+bVPyGBp6HnzbPnjuCx4Zprsq5v0oSHXjyjyxUqANdf77iDuX8/8N57rCH511/RPVbduuZJCb4fWazQvj1rdZrRs6c9tsQDntHL6dPNwxC2bOHnNDs4e5aF7ytV4ufIBg1YtMLJ+vOlSvEoZiw6mADckfgD4DYAbwP4FcBpAATgkzD7Kg9gGoD9AC4B2AlgPICiFtkancSfDRuIChf2j/ItUoRo40brjycI8cDevUS//060f79zNvz1F9Hs2ZztkpHhnB0GjB1LlCOHfwLOhQvRO+bIkfpJC0WLEu3eHb3jRptDh4g6dNB/b40aEZ086bSFscO4ccbJLb7L+vX22NS1q/7xy5UjOnXKHhuigST+AMMBPATgSgD7wu1EKVUNQDKAfgBWAXgTwH8AHgGwQillIJfrAurWBX7/nUdj8uXjWt23386KuFIwVhD0uewy1ssMVHIlmlx5JcuNJSW5LrTlu+84mcJXOmjOHODZZ6N33OHDgRdfzDqiWawY5z2NHg2sWxe9Y0eTUqWA778HNm3iadw2bXgS6r33gF9/jc8Q6GixaFFw21WsaM8tcMsW/wpLHvbv50kiIXTc4mQ+BqAmgEIAgpTd1eVdAKUADCaiLkQ0jIjagJ3NWgBejtjSaFK3LvD551zS4exZLvkgDqYgCGEycaJx29SpwMWL0TluQgLw3HPAgQOs6QdwyHByMjtkSUns6MYqtWpx6MGPP3Je5sCBcZ/PZTk5cgS3Xf36+sWzrCZQwTC9EHAhMK5wMonoZyLaSkRhl7nRRjHbg6fH3/FpfgHAOQC9lVL5wzZUEAQhhti61bjtzJnASkyRsmsXl8jzJS2NxQ/Ono3u8QX3cvPNwW23YAFvm5ERXXuMyoIG2x4ORFyJdv16ruMQDGfP8gPiffdx0pRe7qGbcIWTaRGttdfFRJTldCSiMwCWA8gHIA4VxgRBEPypXNm4LV++0Msdhspnnxm3nTrFDoSQPenXj5NqguHHHzlMIZq0bs3RN0b07m3t8VauZJGMatU4g71CBf0HMm+2bmVp5PvuY0dzzBje1yp91mgQT05mLe11i0G755m+ZjCdKaWS9RYAsTN/feYM12nr2pVT5ubOjf7joCAIrsGs5nefPuxoRhM36OYL7iRvXnYen3mGH4byB5hjXLw4uvYkJrIoh54dL78cWBo3FLZsYdEJbz3ZQ4eAQYOAKVOM97v7btYR9eXpp9lpdSPx5GR6Qq6NLmue9QY6+nHG3r1Aw4Zc43nePB5S6NaNl2DH5QVBiGm6dtUX727blgXKo40bdPMF91KwIDtwO3YAkyaZbxtsDGcktGrF+pjPPMPKgQMGcD6u1QL4r7/OqRd6vPSSf6IeAGzYYO5IfvCBNbZZjYixG0BEuopo2mhmks3mhM4jj3C5C1+++orPxoED7bdJiB5btnCJkzp1rFeEFmwjIwP46SfOvi5ThqVAIxltVIpv4n368ETGhQs8LdiypXkifEoK32xz5+bcw3CT5rt25f03bfJvu+kmFpwWBIB1KXPl4nNPjy5d7LGjYkX+zUQTs3KZe/fyaGWVKlnXHzhg3uf+/ZHbFQ3iaSTTM1JpJCLhWR//EzSnT7MwtxEffxxev2fOcPb7lCmxq0ESb2zcyBI+tWpx2cKyZYHBg/lKvW4d8OmnXMowUNFlwXH27uWs63btuHbxXXdxnNaSJZH3XbMmMGwYMHIkj9aYOY2TJ/ONtmFDFryoV48d3+PHgfnzOTbu/Pngjps7N9vfoUPmupw5edrvo4+4dN7ChcCxYxG9PSEOKFkSGDVKv+3OO+0p5GUXBQoE1751K0/hz58fWJC9fn3LzLMWJ8Q5zRYArRCGGDuAAdp+kw3aF2ntbSO0Lzpi7Faya5e5sm2NGqH3+fnnRIUKZe3nlluIzp613v54YeNGooceImrViujOO4l++MHa/o8dIypTRv87Ll8+6/+VKhGtXGnt8QXLyMgguvpq/a8yf377tOanT9e3IUcOoly5Mv8vUoRo2rTQ+t65k2j5chY0nz+fBa49/eXOTfTUU0Tp6dF5X0LsMHs2UfPmLNxfvz7RhAlEqanRP+7Fi0Qffkh02228fPghr4sGb75pfHtu25bo/Hmi22/Pur5kSaLrrtPfJ29eov/+Mz6ek2Lsth8woEHhO5nVtP12AEjwaSsI4CxYxih/hPa538lMTTV2PgCiO+4Irb+1a/1LhniW/v2j8x5inW+/zXpX9izPPmvdMcaONf6O9ZYiRYgOH7bu+IJlrFpl/tW9/HL0bcjIIKpWLbRTatGi0I+zZg1RYqJ+fy+9ZP37EoRAnDpF1KSJ//nYtCnR6dPWH+/CBaKWLf2PV6IEF/8bMED/95GYSNSmTdZ1pUsTLV5sfjyp+BMCSqlEpVRtTRfz/xDRdgCLAVQGMMhnt5EA8gOYQfQ/9s47PIqqC+PvBEIgAUKT3jsCCgkd/GjSBJEmIoKCBVBQEETsDRERRFAQFUGaCCpNkS5VQMCE3qv0XkNJIHu/P97EZJOZ2d3s7Mzs7v09zzyBuVPOtpkz557zHqGRbhtAZM4MvPaa9tigQZ4db/x49UxkgG0QLl707HiBzp071OdQSy4aNsy5pNAbNm3ybPurV4EffjDm3BJD0dOzdGfcCM6fV0/j1mPUKM/P88UX2rWHX3xhjvC2RJKaoUOBzZvTr9+0iWNGkzUrOx59/TVzpGvXZmeubdvYVWrqVPX97t5l2v3u3dxm4UJq0TZrZryNRmGLwh9FUdoBSE7rLZj0t66iKFOS/n1RCJHsNRUBsBfAv6BDmZqXAGwA8KWiKE2TtqsNamgeAODDRmo2Y+BA5lCOHJmSQFWkCNtt1Kjh2bH27NEeu3uXarK+FtzzJ1asAC5c0B6fOZPJd96SKwNCCXZX7g1SihfXHy9Rwvc2REQw58sTlbNt2zw/j94z1uXLLHooV87z40okGUWvTGHaNN8oMYSFUWIsrczYxo36AjC7djFX+v77jbfJF9glklkNwDNJS3KKeOlU6zq5c5CkaGYNAFNA53IQOI0+FkAdIUTwpJcrCvDBB8CpUxQYW7cOOHaMJZ0AC0GSZY0eeYS/oitX1I9VtKj+uQoXNtJy/8csccCnnvJ8n4IFXW8jMZ369bUT90NDGRj3Ndmzp1we3CV/fs/Pc9992mOKwh7nEv/g+nVG1bRuHf6C3mSc2RN1ri7RhQqZY4dR2MLJFEJ8IIRQdJaSqbY9lnZdmmOdEEL0FEIUEkJkEUKUEEIMEEL4+c8gg+TKxVh6gwacKgc4jdu2bYpA++LFwJAhQLVqdETT0quX9vEfecS1Exps1KqlP26UOGCjRkC/funXa5UOKwrQo4cx55YYiqIAv/6aPmKZNSsFAsyIZAKcrtbrepKWjDi/zzyjPdamjW/a90mM5eZN3hby5+fDUYECVAzwV3H9aFXBQuLpxJ+3lCoFNGmiPf7cc+bZYghWJIL68wJ/KPxxxbhx6lnFgBBt26rvM3Ro+m0rVxbi1ClzbfcXunRRf39Llza2It/hEOKPP4To3FmIxo2FGDRIiN9+Yyli6vMqihDjxxt3XolPuH1biB9/FOKNN4QYM4aV2L7m1CkhPvhAiA4dhHjpJRYRfPABK1kffliIUaOEePDB9F/lNm2EiI/3/Hz37qn/PEqVojCGxN44HEI88oj65a1BA/9UCJgzR/uWOHeu+fYcPcpbRVpb3nknY8ezsvBHEXScJG6iKEpMVFRUVExMjNWmZJy6dbVbB4SEULROLd9v715OsV+7BtSrB7RvT/VcSXpu36Ze5dSpKQk2jRsDkyfrN5Q2iitXmEy0Y0dKmKGi/3RElZjD+vVAq1ZM307NiBEsREgmPh74+Wdm3oSGUhi7TRt93T49hGDf8l9+YVSsYUNGOHPkyPhrkZjD5s0sVNFi2TJ7F6Jo8d131JJNnvrPkwcYPlx/Is+X3LrF2+3ff/N23LUrtWszQnR0NGJjY2OFRpMZXyKdTA8JCCezQgV2iNHi339dVyKYiRCsMDhyBChdmtP6GW1BYjYXL/K9LlQofQsHicRC7t0DypRR74UMANu3y448kvR8/rm2eAkAvPsu8NFH5tljJLdvs/AGYCwmWzZr7TEKK51MW+RkSkxGL2ewcGHPkrJ8zfHjjJpGRQGdOvFv/frad0a7kS8f7ZcOpn+waBGrX6pWZbhu2TKrLfIZa9bo/4wy2hhMEthEROiPu+pmY2eyZWM+ZJMmgeNgWo10MoORQYO0p7lffx3IlMlce7S4d49zeWmn9jdu5HrZKlFiJMOGAa1bU3xu1y62Zm3RgqGbAERPZcudcUlw0r49UybUUBTGAiSSZKSTGYxUq8ZmqKmjazlzAp98wjxCu7B4sbZG5549bKIc7Bw9ypLgTz+lcrBMf8kYR49ynk+NwYPZPHncONfyVH6Eq/wuI6RcJYFHgQK85KgxbBgzmiSSZGwhxi6xgObN2UZk61YmolSvbr95DldKz9u2sfogWPngAyY/pXYs27YFZs+m9o3EfebM0XbQhQBmzeIydCiwfHlAJCtWqMCMgPnz048VKKAvNSQJbvr2pXTRuHHAoUOsZezTh4F/iSQ10skMZjJlMl8EzBMKFPBuPJCZOxf48MP063/7DXjrLWD0aPNt8meSu2K54vx5oEsXKlD7sPjs2jV2bP3nH+pGduuW8cpSPaZNA5591tnHrlqV2pzuNpRKTAT27ePbUbFixivOJf5Fw4ZcJBI95OVAYl86dQLCw9XHIiKCO/ln/Hjtse+/lw2gPeV//3N/2717tSXADGDvXvYnfvllKmCNHs2p62HDjD9XjhyUETpyhBk0W7awqrxqVff2/+UXVqhXqQJUrgyUL8/jSCQSCSCdTElahGBhzfz5wOHD1tqSJw/DOWmLlLJk4frcua2xyw4cOaI9duMGtU7dJTERmDIFaNqU4bJevfT71QciDRvqt9lIy5kzPjFDCKB7d/XDv/NOiryK0ZQsycyTGjXcD9AuWgR07kzFs2QOH+YU/Jo1PjFTIpH4GdLJlKSwfTvDEclC62XLAh06sEGtVXTowLm4t99m8cXbb/P/7dtbZ5Md0Muuz5HD/d58Dgenf3v2BFauZJ7rxInss7ZypTG2+gOKwger558HwsJcb1+5sk/M2LkT0JPgnTzZJ6fNEEOHqq93OFhDKJFIJDInU0IuX2abhrS6JfPmMdK1YIE1dgGsgv/4Y+vOb0deeknbCXzuOfccJYCf76+/pl9/5w4jmgcOBE+SXY4cdLBHj2anJLVWOABljipU8IkJZ896N24WiYn6GQPr15tniz8RH88Ug9WrWZvXqROD6P7SW0Ii8ZQguXtIXDJ1qrYw3m+/Afv3m2uPRJ8OHSi5k/bu9OijnoWRZs/WHjt8GIiNzZh9/kyOHBT8X7wYKFbMeaxFC6Zq+Ij779f36e1S1B4Soi/KLdtDpufCBfbB6N4dmDSJadWNG7PwyuGw2rrgxeFgdtDOnVJ62RdIJ1NC3JELktgHRaF80aFDFAsfNowJewsWeNaq4uZN/fG4OO/s9Gfq12fu69KlKX3glyzJcC6wEOxF/PDDLJR58sn00cCiRZm9oEZEBNC7d4ZObTiKom0nwNcWyNy8ya/CokXuZxO9+iq/QmmZMkV2V7KKhQtZrFa5Mh/gucKHDAAAIABJREFUSpWisoLEQIQQcvFgARATFRUlAo7XXhOC90H1ZeVKqy2U+ILhw7U/84gIIa5etdrCgMDhEKJ37/RvcUiIED/95LztjRtCdOzovF3RokKsWmWJ6ZqcOSNE2bLpX1OVKkJcumS1dSk4HELs3SvEzp1C3Lvn/fG++UaInDmdfyYjR+rvc/26EKGh2j+1hx7y3i6JZ6xdK0SmTOqfx/z5VltnLFFRUQJAjLDAZ5KRTAl5+mntsZIlPZN4kTgTHw9s2MBIY0KC1dY488IL7FevxsCBQGSkufYEKOvXA99+m369wwG8+KKzTGf27EyTPXCA+u/Ll7MhUaNGnp/3zh1qYI4fD6xda2xDqIIFKXn0ySfAQw/xEjFqFL/qefIYdx5vWLKE2p2VKlGWqVQpYObMjB9vwQKKjqeOXt68yaZQelkUly8Dd+9qj9sl1zaYGD6cucVqaBW1STKAFZ6tPy8I1EimEEKMGpX+kS4yUogNG6y2zH+ZPFmI++5LeT/z5xdi6lSrrXLm4EEhmjVLsTFPHiGGDRMiMdFqywKGl1/WjmIBQixYYPw5V6/m1y31eWrWFOL0aePPZUc2bBAic2b193vevIwds3597c+wShXt/RIShMibV3vfDh0yZo8k40RG6v8m4+OtttA4rIxkyupyOyMEwwILFvCRq3lzVoD7qtp30CBqBU6ZwkfrBx5gpXLBgr45X6CzYAGz+lNz/jz79eXNyyplO1C2LLBsGT/zq1cZ7nG3Ol3iFq4aCrlKjfWUc+dYA5a2OH7LFmpbrltn7PnsyCefaBdyDB1KPU9P0UtN37WL58usclcNDQVeeQV4//30Y4oCDBjguS0S78iZk5211MiWTf1zlHiOfBvtSmIi0KMHMGNGyrrRo+lozp/PX8G//7Lqu1gxzgcZQfXqvulfF4wMH64/ZhcnM5mCBeUDhY9o2JAVxWqEhAANGhh7vh9+UFdfAoC//qJoQFSUsee0Gxs2aI/FxgK3b3tWIwcA992n/UCQOzc79Wrx9tvAxYvA11+nTNNGRgJffcV0A4m5dOkCjBypPvbEE8Gj3OZr5NtoNOfPA2++yShg1arA669nLOFm/HhnBzOZZcuAIUOAjh0ZcWrRgronDz0EHDvmtfkSgxCCYSMt9MYkvkUIYNMmynb9+ad2YpaBPP44K8rV6NUrvVKSt7hSHNu3z9jz2RE9GaWwMEYXPeWZZ/TH9PQuM2UCvvySsYFZszjRceoUJY0k5vPWW8CDD6ZfX7q0bCZgJDKSaSSnT7NbTuo+a7t2UbdkwwbP7iQTJ2qPTZiQfh7or7+ojbJrF1V+JdaiKAxtaLV3DOaWmFZy+DDQsiWln5IpW5bVMT4UocyaFVixgv3I586lXxsZCfTtC3z4ofHnc3WpMdqptSNdugAjRqiPde6csenQIUOYapC2D0Lt2u5/jkWKMFImsZZcuXjb/P57SkEnJjJm8+KL8vJsJIoQBpYbBgGKosRERUVFxaj1fuvVS9s5fOYZ5jq6S+7czI/zlOnTgW7dPN9PYjwDBgBjx6qPDRrEUlyJeWzaxHlptUS9ggWBgwdZ2u1jrlzhtGmxYr57HjxyhE2J1F5qpUp8Fg306cBr15imsH278/qSJelcFCmSsePeu8dGWb//TnWAli3ptGbJ4rXJEgO5c4e33PnzWdnfrBl1ZoPRgYyOjkZsbGysECLa7HNLJ9NDdJ3MPHl4B1Eje3btJCk16tfXTyrSon9/YMwYz/eTGM/Vq2zpkbZaIDqa07RSHsg8bt6k0rneg9vEiexdHiDMnMmW9KlVs4oWpbb8/fdbZ5eZxMXxY02unUyOVOXNa7VlEl8SF8eJvU2bnNeXKsVIdEYfMPwVK51MOV1uJHfuaI/dvs1cMHeb1PbvnzEn0y4CdRLOx6xfz3YeixZxXZs2TMLytOJA4h2//OJ6ZuCnn1iVcfw4UK4cy4G7dPHbxtJdu1Jbc8YMpoVXrcpp2vBwqy0zj+zZ2Wnn1VettkRiJp9/nt7BBKg3+/rrsquPmUgn00gaNqT6rxqNGnl2s+rcmXNe772XouIbEkIl4Jkz1W+YISHAU095bLbEh4SH8zPr08dqS4Kbgwddb5M60e7SJfZ83L8f+OADn5nlawoX5k1VIgkm9AT3f/mF6gsyvcEcAjwrx2Tee0+9ZDFzZo55yhtvACdPMrFk0iQ6nePHM+9STcfwiy+AMmU8P49EEuiUKpWx/YYOBU6cMNYWiUTiU7T0LwHGbPQmHSXGIp1MI6lblwlPqQXoqlXjVGlG2zLmz8+ioWefBUqU4Lo2bZi5/9pr1Frs3Rv45x9O70kkdmPrVsp69e/P0mothWxf0rlzxjL+HQ7gjz8830/mugcdQjDV+tlngfbtKYV74YLVVgUndepoj1WqpC9vJTEWOV1uNI0b0+E7d45XnYIFfZPTVbastpKsJLBxONiI+sABoHhxZrjbsT2FEHwQGj06Zd2XXwI1avBhzMz84Zw5Wf3Rrh0bSScTEcGHttmztff1xCleupTRz40beSd78kngo4+o4i0JWITgM/64cSnr5s/n5NKffzIfVmIeQ4bw2VDtp/vuu36bZu2XyOpyD9GtLveUW7d4U7p+nVHQ8uW9P6YksDl6lI7Sjh0p60qXZoRQTVnYSn79lSrkajz1lHqzAV9z4waTso4dY3FPx458KGzYUHufffuoB+SKX35hZU3aa2qFCqxCsKmawN27vAydOMFLUOPGgS9vZDSLFwOPPKI+VqMGsHmzdGzMZtEi6tIeOcL/FyjA578XXrDWLiuQEkZ+hGFO5ty5lEtJLXnUpQswebKsPJaok5hIwfA9e9KPFSrE4paICPPt0qJFC3aoUiNzZopF2sHxEgJo2xZYuDD92HPPUa3ZFYmJzIdO3YghNZ99Bgwe7J2dPiA2llO7x4+nrKtShUHf0qWts8vfePJJdvHRYvfu4JGNshMOBzPL7t5lNDlYi32sdDLl86oV7NjBiEdaTc1Zs4CBA62xSWJ//vxT3cEEgDNnGEmzEydPao/du8cWrHZAUfjevfFGioBioULAsGHAt9+6d4y9e7UdTCBjeZ0+Ji4OaNXK2cEEeFNu25Y3aIl7XLzo3bjEN4SE8Lk8Ojp4HUyrkU6mN8TFAfHxnu83bpx2ntcPP2gLukuCGy0H091xX+FwcMp5zRqmfiSjF7rJkcNeishZs7JS4/x5voaTJ9ncOFMm9/Z3NRdqw7nS2bO1/fzdu/lMI3GPaJ34UFgYULmyebZI3OfSJWaypH3QkhiHdDIzwrVrTLTJkYPTkx06uKfDl8zu3dpj8fHsryyRpKVoUe/GfcGqVcw5rFmTWrCFCwPvv0/HU0/toHdve6qCh4Twd+1pUmLFivoySW3aeGeXD9i3z7txSQovvaRdsdyrl+wwZDdu3WJuZqFCrEQvUYLZPVKtzHikk5kRDh8GknMyExPZyLZBA/3pwdQULqw/XrCgd/ZJApM2bZi9rkZ4OFu8mMnevax2OHQoZd3Nm6ymHjECeOgh6rumdSa7d+dUdCCRKRPbjKg5p/ffb8tqAzs+s/grxYuzD0e5cinrQkPZwnLUKOvskqjzzDNMtU7ucwIwffzhh63X0Dx2jOnbjRuzLnH+fD9XRBNCyMWDBUBMFD/z9MuAAcItlixR3x8QolUr944hCU7Wrxcid27n70y2bEL89pv5tvTqpf09zpNHiDt3uN3Vq0LMnCnExIlC7N9vvp1msmKFEI0bC5ElixD58gnx8stCXLxotVWqnD8vRHi4+sdXuLAQ8fFWW+h/JCYKsWkTL/Fnz1ptjUSNPXu0L1uAEFOnWmfbhg1C5MiR3qbnnhPC4cj4caOiogSAGGGBz2RDcT0/RquSNi0tWlCcevhw5/U5czI3bMYMikfLTGV7c/06cOoUI9NmVUnXq8dI+owZKTqZ3btbE/3eskV77PJlaodUqsT35sknzbPLSpo25eIH3Hcf8zKfeILTh8nkzUvxC3n58ZyQEKBWLautkOih1tM8NX//DTz9tDm2pEYIoGdPqqylZdIkZuVpyWTZGelkGolaS0ktPvmEjuSMGbzSnzxJp2XePC5ffgksX24PiRc74HAw/2/9ejrjnTpZN58XF0cVgGnTmEObJQunqseOpW2+JnduCsBZjasOOrlymWOHJMO0aUPp1RkzWPxQoQK/yvKyIwlUXH23rfrux8YC+/drj8+c6Z9OpszJNJJ27Tzbvlo1dj1Ry+XcsoWtCSSstm/YkAkz778PvPoqULIkHXGzEYIC4xMnpigLJCSwv3zbtn6ePOMh3btrjz38MLPqJbZg+XKgWTNebsqXBz7+GLh9m2P58/OZacwY5hBKB1PiC1asoBR0gwas+0vdT8JMWrTQfz62atJFr986AFy9ao4dhmPFHL0/LwBiohQlfdJExYpCXL6smROhSbly2skhOXMyySfY6dJF+z1au9ZcWzZu1LYFEGLlSnPtsZJ794To2DH9e1C4sBAHDlhtnSSJ6dPVv6qNGwuRkGC1dZJg4P3303//MmcW4tdfrbFn7lyeP61N771njT1CCHHpkhBhYdq3lqFDM35sK3MyZSQzI1SsyEeyggUpWzJ4MPDXX66nD9XQE6S+fj1jOpyBxIUL+iLjEyaYZwsArFunP752rTl22IFMmYCff05pH9mqFdNAduxwLrOVWEZ8PAP/aqxaxY9OIvElO3cCH36Yfv29e2x6d/Om+Ta1bw9s3Qr06UMRjCeeYLRfzU6zyJOHUlhq3HcfpbD8EZmTmRGyZQN++smYY1WrRhFrNSpUYCFQMHPyJGWitEhuTGsWrto22qmtoxmEhFBno2NHqy2RqLBxo363mQULgqcmS2INeu02r16l9JMVl48qVcyPUbjis8/47D5+fEo6S82aLPzJn99a2zKKjGRajV4/48GDbdkpRJPz51mYc+yY+vjhw8BrrwHNmzOfb9Uq18csVox9rrUoWzZDpmaYdu207VEU6WxJbIXe85k74xKJt1y4oD/uKhcxmMicGRg5kl2CN25kIdDmzey77q9IJ9NqWrcGvvvOOds+PJzTjs8+a51dnhAXB/TowTaBDRowhaB5c+f2CStW8Jfy+eecl5gxA2jSxHVxU758nMvQ4sUXDXkJblO4MK8Cagwbpt/1RWIMt2+zhea5c1ZbYntq19buRAPwZyqR+JK//9Yfr1vXHDv8ichIdiIqX95qS7xHOpl24IUXqLe4aBHw++/895tv+k8Us1s3YOpU537sy5entE+4e5ctFpLj/6n5+GP2vdZj/Hi2LExNaCjX16/vtfkeM2AAGzt36AA88ADw2GOc83nzTfNtCSYSE/lQUqgQm0EXLEhNj3//tdoy25I9O/DBB+pjDzzAn65E4iv++Yc5mVrUqUMpXUngInMy7UJEBAsn/I1du5jYpcaBA6wsyJ8fOH1a+xg//she8FpERgIrV7LoZsMGhmY6drS2/WaTJlwk5jF4MPDFF87rFi/mA8j27eZolPohAweyqGDECPYjj4igczlsGNPLg43Llzl5tHIlJW47dOD7IcXnjcdVFLN2bXPskFiHdDIl3uGqfcKmTZxC1+PKFdfnURTgf//jIgk+zp8Hxo1THzt2jML4/fqZapI/0aMHJxNu3WItYaZMVltkDceP8xKSOvj9xx/8+ixeHJxOty9xpbl6333m2CGxDjldLvEOV1eRXLn0o5SA7MMmcc3mzUy70MKVtJRVXL5Mj8YGFTaKwihmsDqYADBokHp2xZo1rEl0OMy3KZBp25YpG2ooCpUAJYGNdDIDiXv3mANpJq1a6bcPfPJJoEwZbZ2UokVlYpjENVp3KnfHzebwYRb15cvH7lQlSjCHWARRRyibcfMmO/Zq8fXXVI3buNE8mwKdyEg2R1N7sPnsM94aJIGNdDIDgWPH+EgYHs75nlq1WERkBhERwOTJ6n3bP/4YuP9+/nvSJFbLp5b/qVePiVEyl07iivr19dtUli5tni2uuHCBc7KLFqU4ladOcTo/bU6pxDRu3nQdUD50iG0HUwtjSLyjSxcgJoZi4g0bUr1u3TpGjoOBvXvZqyL59tyxI7B7t9VWmYci5JO1RyiKEhMVFRUVExNjtSnk7FkgOjp9YY2iAHPmsLWBGezezVDAnj2UMnrhBV5R0nLuHKsPChZk2EAicZfXX9eWjypZkh6CHeaChw4F3ntPfSxPHjYYkMl/piMEI2dHj7re9q23WBglkXjDvn2soE+rBZojB2tYq1Qxx47o6GjExsbGCiGizTljCjKS6e+MGaNeuS0E8MYb5iUZVa7M6cBVq6iBqeZgAkCBAhyTDqbEUw4d0h47dox94uzA6tXaY5cv62u6SHyGogBvv+3etnaJIRjBhg1Ay5ZAWBinr597js85EuO4exeYORN46imga1dg+nQgIQF4/311sfkbN7SfQwMNWV3u7yxbpj124ACz3KVAuCQQcJVvrKbDagWuopR+FMU8eZLPsatWsSq9Y0f2ew4Pd2//+HiqmP31F9Nmn3jCdR2gL3nuOVbYv/ceWxpqEShVz6tWcfo/uWYuIYHZTcuXA1u28Jlf4h03b9KJ/+uvlHU//cSYy65d2vslZ9P4ixx2RpGRTDvhcPCb9/LLQP/+7JLjKp3B1fSgXktGicSfaNxYeyxnTqB6dfNs0aNTJ+2xChXMmyPzkr17+ZZ+/jkQG8uI2KBB/Bhu3nS9f3ImT7duwDffAKNGsQ/zoEHW1j+9/DInf/S6qTzzjHn2+AohmPeoJspw4gQwerT5NgUin3zi7GAms2kTnfpgx1ZOpqIoRRVFmawoymlFUeIVRTmmKMoYRVFye3CM1YqiCJ0lqy9fQ4a5fZuPQ61bUw/wyy+BZs0YOtCTbmnbVnusenVWb0skgcDzz7NKW4233rJPhflTT/G3m5asWYEJE/wmdDFgAHDxYvr1mzfz8uSKl15SL3AYPRr47Tfv7fOGbNkYYVWLWA4cCDRtar5NRnPuHB8OtFi40DxbApmpU7XHQnQ8rNat/eZS4BW2CXMpilIGwAYA+QEsALAPQC0A/QG0VBSlvhDikgeH/FBj/T2N9dYydCjnMNIybx6vykOGqO/38suMze/d67w+SxbuZ5dv8a1bwKVLnJ+RrTWCGyHYlvPHH5mjWKsWC8Xy59ffL3duChoOGEAvxeFgkdmQIfYSYg8NZXvYb79lotbVq8z+HzQIqFrVauvc4soV/Uycn3/W76J64YJ2IzAA+P57dmO1kqpVWaf4/fecOs6Th1FXrXRyO7JjBy//169TrKNTJ+ZeSjLG6dPA7Nn8/tesya61riYLL1zQHouPZx5s2rzMnDmBD7U8lEBDCGGLBcBSAALAy2nWj05a/42bx1nNl+UzO2OioqKEoTgcQtx3nxC8/aZfypbV3//iRSEGDRKiWDEh8uQRon17IbZsMdbGjHL1qhDPPy9E1qx8LblzC/HOO0LcvWu1ZRIjiI8X4t4997d3OITo1y/9dzxfPiG2b3f/ONeuCXHihGfnlrjNqVPalyNAiHLl9PffuVN/f6MvocHIu++mf18rVeJnJwR/alFR2p/B4MHW2m83vvtOiNBQ5/fowQeFOHNGf786dbTf4+rVhdizR4jOnYUIDxciWzYhOnUSYtcuc15TMlFRUQJAjLDCt7PipOmMAMokOZJHAYSkGcsBIA7ATQARbhzL/5zMu3f1r8jh4caeL5kdO4To2lWIIkV413j7bSGuXDHu+PfuCVG3rvpreu45/X0TE4VYulSIDz8UYswYIU6eNM4uifcsWiRE7dr8LMPChOjWjU6fO/vpeR4Oh+9tl7jE4RCiTBntj+rZZ/X3v3GDly2t/bt3N+d1BCpLl2q/t488krLdn3+md5wAxiNcOU+esm0b4wl16wrRsSN/6v7yc46JEUJR1N/PFi309507V/uzmDXLHPtdIZ1M4PkkJ/NbjfHkKGdTN461OmnbJwC8AWAggFYAwgyy1XgnUwghypfX/qbWrGn8+dav52NV2nNVrcookRHMn6/9mgAhDh1S3+/ChRQHJnnJnFmI8eONsUviHXPnql+RixcX4vx5/X27dNH/Tpj9iC/RZPp09Y8oIkKIvXtd7z9ggPr+mTLZZ6LFX3n8cf2fUepn8vXrhWjenM5mzpx8QHDnedATfv2Vl+i0drz5prHn8RW9e+u/n4cP6+8/YYIQkZEp2+fMKcSXX5pjuztY6WTapfAnWTTxgMb4waS/OvWA6ZgFYDiAzwEsAnBcURSdsk9nFEWJUVsAVPTABvd59VXtsYEDjT/fgAHqki87d7LwyAhWrdIf19IT7N2bpXmpuXcP6NtX9nyzGoeDouh84HLm+HHXFSGXXKRVq1WaSCyhWzfghx+AYsVS1tWsyXTaim5cBT/9FHj6aed1kZFMxbVSxigQOHVKf/zMmZR/16sHLF3KSudr19h8zch60Fu3mFJ9T6XaYfhw+8jX6uFKoF+t331q+vRhPueyZXyvT51iuYTEPtXlkUl/VWRLndbrNMn+jwUAHgVQFEA20CkcnrTvbEVRWnphp+/o3ZtKwaklh8LC+Cvt0sXYc506xUx3LebPN+Y8WV0U8quNnzmj32D422+9s0mSnsRElpq+9RY9gyNHtLc9ckRfFH3JEv1zRes0nMiSxW/kfYKFHj14Az5wgM8QmzcDtWu7t29YGCtvDx7k3zlzeOl54gmfmhwUJHfrVSNLFnO7rC5dykIZLX76yTxbMkq5cvrj7ryf4eEUlWjePONCF/v3swZ4yBDWNrpqg+oP2Ka63CiEEGmbA+8H8JaiKKcBfAU6nC7uhIDQaL+UFM2M8tZOlQOz13ffvuznrSj8tubLB2zbxqra8HBKFnmroKsniQQYJ+7VsSMwYoT6WLZsLN1Ly/Hj6lGyZNzpCSdxn4sXgVatgH/+SVmX7Gy+/nr67V2VWroaf+klth+9fj39WK9eQN68rm2WmEqmTK5vwnqULctFYhz9+gFTpqhHD3v0YKW8Waj9lD0ZtwN9+lDLVc2pa9tWWznNSD76iB2CUlOzJrB4sX9fFu0SyUyOVEZqjCev1+nR4JLvQfmiaoqi5PDiOL6lUKGU3lTZs9NRq16d09u9egHFiwNffeXdOYoX17/qP/ywd8dPpmZNOhVqfP45JWnSUqKEvrhYmTLG2CYhvXs7O5gAnfwhQ9TTHUqW1I82utKlKVaMoY/UStihocCLL/I7IZFIXPLgg4wQ5kozt/f44+zQZCZ16+qP169vjh3eUKUKMG1a+mZc9eqxQ5KvWbIkvYMJcMKxb1/fn9+nWJEImnaBgYU/Ls5zOek4Bb04hm8Kf9R45RXtTOQVK7w79uzZ6sfNn9/YrHCHgxUE//ufEKVLC9G6tRDLl+vvo5XVrihCbNpknG3BztmzQoSEaH/HnnhCfb/ly9VLVitVomSVOyQmCrF5M8tkz50z7jVJJEFEXByLbiZNcq8Yy1c8+aT6JaRiRSFu37bOLk+5dEmI778X4rPPhFi1yrzq+HbttC/DmTJRpdAbZHW5gRJGOueokHSO6wAye3Ecc5zMmzdZxqn1zWvXzvtzzJ3LanKAzkbbtkIcOOD9cb3l8mUhGjRwfr1ZslDITGIcMTHa3y+AAnBabNwoxKOPsqSySBEhBg70/koo0eXePSH+/pvPl5cvW22NRJLC7dtCvPgi1cySLx+PPCKV59wlOlr/Urxjh3fHt9LJtEVOphDisKIoywA0B9AXzJ1M5kMAEWCU87+OuYqiVEzad1+qdaUAXBNCXE59fEVR7gPwQ9J/Zwkh7Nn1JzVnzug3CD6gVYjvAe3bA+3asSNJWBhzPu1A7tzA2rVcNm5kSWrHjq47wkg8o0QJFpqpJXYB+s2d69SxvjdgELFyJbtqJqckZ81KQYqPP9bPLpFIzCBrVqZaf/IJawMLFgQKF7baKv+hfHkgJkZ9LCyMGW7+ii2czCReAttKfqkoSlMAewHUBtAYlDZ6O832yX0UU/dNbAjgG0VR/gJwBJweLw7gETCv8x8AKtUMNiR/fn674uPVx43KRFYU9dxIq1EU9nfzpx5v/kbevMz9nTYt/ZiiaOfTSkxl7172Ob5zJ2XdnTsUnggLU8/lkkisIFcuIMr4stiAp18/YNYs9ZrX7t2Zmxkfz/xXM4u6jMA2z8BCiMMAagCYAjqXg8Bp9LEA6gj3+pbHgPqYBQB0TDpGSwA7AbwCoL4QwpviIfPIkYMOgBa9e5tniyRwGTcOaNHCeV3WrGzo7K5WjcSnjB3r7GCmZswYdblbiUTiP9SrB0ycmF7VLzqain7NmgFt2gBFivChUs0ZtSt2imRCCHECQE83t1VU1u0E0MNgs6zjiy+oSbhunfP6d96hroJE4i05clAjY8sWYMMGIGdOVoj7s2ZGgJG2+D81V69yerJyZfPskUgkxvPcc8xg++03IC6Ole4vvODsUN65Q6mjPHmA/v2ts9UTbOVkStIQGcmuOCtWUCczWzZqVFSo4HJXicRtFAWoVYuLxHa48vftmO3iLyQksAlVvnxU0pJIrCRPHuqcAnzW14pYjhzJjkL+kI8tnUy7ExJCUfbmza22RCKReElCAvD774w+lioFPPoo8yr16NaN7erUaNpUFlhkhFu32GBt0iTgxg3mEvbuzShRlixWWyeR6LfjPHUKuHDB+74sZiCdTIlEIjGB7dvpVJ44kbKuaFFOj1Wvrr1f167MaEjbnq9IEXYpkXiGEECnTnxPk7l6lc3Jjh4FZs+2zjaJJJn77nO+VqQmSxZmNvkDfhBslUgkEv/mzh1WiKe9aZw8yYR+rcIegG0dZ8wAFiwAnnySjuqIEcCOHca1a7xwARg9mt1FPv8cOH/emOPakb/+cnYwU/Pzz+ziK5FYTfK0uRpduqTvTmRXZCRTIgkWdu0CfviBns3991N4sUgRq60KChYs4BSXGqfp3DtkAAAgAElEQVRPA3Pn6otJhISw1s8X9X4rVrDgIC4uZd3779OmQMzS+fNP/fGVK4Fq1cyxRSLRok8fflcXLHBeX7kyMGqUNTZlBOlkSiTBwLffsj946kzykSM5V9ukiXV2BQkHD/JvGO6gDA7jKnLhNFIc/EOHrLHrxg3WEqZ2MAH2gXj8ceD4cdYfBhKucmBdjUskZhAayge9hQv5NyGBOdhdu/pPFBOQ0+USSeBz+DCF1dOWKt68ySuWluC/xDBKFnfgTXyC0yiM3aiCUyiKVWiECmDDspIlrbFr7lzmI6px/Trw66/m2mMGHTpojyVHjCUSO5D8fZwyBZg5kzJH/uRgAtLJlEgCnx9/BBwO9bFz54AlS8y1JwjpfGAoPsHbyIMrAAABoBHWYDUaoWKe8+jY0Rq7Tp70btwfqVABeF2j79tHHwHFihl/TiGATZvYXGv1au2fo0QSaMjpconEl9y4wUhi/vzWac24quK4cMEcO4KVGzeQZaxzElVyJ4mCOIelHb5FRMS75tsFpubqEagi759+yor+CROAY8dYQNWvH3NTjebkSaBjR2Dz5pR1FSoAc+YE7vsrkSQjI5kSiS+4excYNAgoWJB3syJFgJYtmeRmNq6qGGSVg2/ZsSN90mMqiv+7TnPM17RpA5Qpoz5WsmTgTh0rCit016wB/v2XBRa+cDAdDqoBpHYwAWD/fnZzvXXL+HNKJHZCOpkSiS/o25eaMKnvIkuXAo0b6zocPqFLFwoyqtGoERvkSnxH9uz64zlymGOHCqGhwKJFQKVKzusrVKDMjxQm947Vq7UlkU6dAn75xVRzJBLTkU6mRGI0J0+ylYgaR44wR9JMsmcHli8HHnzQeX2rVqzsUBT1/YKRY8d451+xgtFoI3jgAaBiRe3xJ54w5jwZpHx5qlv9+ScwcSJf+p49+iZL3GP3bv3xXbvMsUMisQrpZEokRrNpk35m//r15tmSTMWK7FO2eTMwbx6wbx9DWK4aYwcLd+4ATz8NlC4NdO4MNGvG+eLlyzN0uAULeIhSpYAmTRWs7PIdRHh4+g07dIBlVT+pCAmhktXzzwMPPaTdM1niGYUKeTcuCW4SE5nSr6Wx6w9IJ9NI9u8HvvuOJYSXLlltjcQqXE1/WjU9qihAzZpAu3acD5WkMGAAMH26s3d1+jSTEpNFLt1k2DC+xStWMDC6ahXQ9IOHMLrbVkpJRUcDDz9MYfyff2ZLHxvw559AgwbUicyWjQHWI0estsq/adOG7QHVCAvTF+CXBDdTp/KZt2xZZjvVrQts2WK1VZ6jCPnI6hGKosRERUVFxcTEpKxMSABeeIHOZTJhYZTl79fPmBPfvMnz5MolpzftTkICULw45YHUWLeOd/OMcusWe+M5HED9+pbm9AUEly6x8j8hQX18wADgiy/cOtSJEwyAagWy9+/n9LTdWLKEDlFiovP6AgWAf/7RTumVuGbNGhb/3LiRsi5LFrYKffxx6+wKdO7eZdpHaCgnckL8KKQ2YwbQvXv69dmzAzExnl9DoqOjERsbGyuEMD0B34/edhvz/vvODiZAgeuXXwaWLfPu2Pv28eqfIweQJw/z6tL2mZLYiyxZgO+/59UtLX37eudgTpzISvUWLZhTWbiw2w6QRIP9+7UdTADYvt3tQy1YoJ8pMW+eB3a5w8WLnD357DN6MxkIGggBvPFGegcT4HOSP7WwsyMNG7Kj08iRTEf48EMGx6WD6TumTuXDXrVqlImqWFG7X73dcDjoUqgRF8fvkT8hdTK9JSGBYmtafPllxhsAHz/OBKmLF1PW7dzJubhff7VFLpdEgzZtgNhYfv7btzMk9OyzwGOPZfyYv/8O9OrlvC4uDhg4kHNy3bp5Z3OwUqCAd+OpcNU86c4dtw/lmmnTgN69nQ/aoAE93Tx53D7M+fP6fvTSpV7YKAFAmdzXXrPaiuDg11+BHj2c1x08yMyXdeuAOnUsMcttTp/WT1NZu9Y8W4xARjK95dw54No17fF9+zJ+7M8/d3YwU/P22zI73+5UqcIo06ZN7BHerp13qQ6ffZaxMYk+ZcrwYU6Lnj3dPlTjxvrjhrWJ37qVdqX1Wv/6i6k7HuAqJdQmKaMSiVt89JH6+nv3KMJvd9TqA1MTEWGOHUYhnUxvyZsXyJpVe9ybHmUrVmiP7d/v3yVnZnDyJMMHUVF8fB0xwjkxyt/YulV7bOdOXkUlGWPyZPXf6uDBLBN3k6go7QmGFi28y5Rw4ptvtOfl583z6NqQL59+dCdQBdklgUdcHC+FWlgh7OEpefIATZtqj3fubJ4tRiCny70lPBx46iltXUQPowpOuFJClkrJ2hw4wDt66paJmzYBs2dTITlnTstMyzD58rEATI1cuWTIyRvKlqVo4YwZwN9/8/3s2jVDc2s//kjpou++A65fZ7L+s88Cw4cbWLN36JD2mBDA0aPM3XWTUaNY8J42MFq6NLMxJBJ/ICyMt0WtFOvISHPtyShjxwL/+x9w+bLz+lq1WOrhT8hIphF8/jlQr1769a+8Ajz5ZMaPq9fnrF49JvpI1Bk4UL0n99at7MTjjzzzjP6YVB3wjpw5KTE0bRpzaTOYvBUWxuT88+cZTL9wgTcNV9NgHlGqlP54iRIeHa5+fUZ5OnQAcuemfmO/fsCGDXy2kUj8gdBQoFMn7XFvbsdmUrkyb1WvvsripTp1+CC4cqX/TZdLCSMPUZUwAliauWQJRfGyZeOcmbc9oa9d49U/bduIiAh+22rV8u74gUpcHB0Gre92pUrUtvA3bt0CWrdmJDY1NWtSNNxfHtMl3rNli/bvv00bFolJJEHIqVOcxDp2zHl9dDRvz8Go+GalhJGcLjeKTJnoALRubdwxIyOZyD9qFFvd3b7NXtNvvAHcf79x5wk07tzRL4rSmnK2O+HhdCbnzGEhkcNBGaMnnmD4zEgSEni1zpNHOq92pGZNqlq8/LJzLm50tHbqjkQSBBQpQi3JCROoIJg5M0U9nn/e4NkEiVvISKaHaEYyJfZBCM437N2rPt6sGXVZ5PRyehwOJg9+8QVFyjNlYtrGl1/KHnh25NQpPoBeuQLUrs3qIpmbK5Gocu8e8NVXlBs+eZKxmgEDgC5drLbMt8hIpkRiJIpCHQsttePlyylqnyxq2KoVq4g9KJQIWIYMcVbfTkyk8NzOndT9lKEAe1GkCO+SEolEFyEoJTx7dsq6TZuYp3n0KPDmm9bZFsjIwh9JYNKpEzBzprZTtHMnK9APHGBVRs2a6ZN4go3z5/leqLF/P8umJRKJxA9Zt87ZwUzNBx/w8icxHulkSgKX5s2Zx+oOZ84A777rW3vszt9/s+GvFmkLjiQSicRP+O037bGEBNnZyldIJ1MSuFy86FlXpDlzgruLUrZs3o1LJBKJTUlM9G5ckjGkkykJXIoX90x0PSEhuJ3M//2PPdC10MpxlUgkEpvTooX2WKZMbEYgMR7pZEoCl2zZgL593d++USMgJIh/EmFh1P1Qq07u2pXpBxKJROKHNG+ufQkbMAAoWtRce4KFIL6jSoKCjz4CXnzRtaxLaCizv4Odjh3Z5uWJJ4AKFYCHHmJf72nTpOSTxJn9+5nH3KcPe2jGxVltkUSiSUgIMH8+BTTy5uW6UqVY6zhypLW2BTJSJ9NDpE6mn3LyJLBxI7slhYXx5rhxI8dq1gRGjAAaN7bWRonEXxg7lj3vUt8/ihYFVqzgw4lEosLt28BnnwFTpgDnzlFJ7rXX+GxrJkJQwS4sLDiena3UyZROpodIJzOAuHSJVxvZnFkicZ+tW4GoKPWxqCjgn3+C486dxOXLwKefAj//zGBu3brAW2/xrySFxESgZUs+h6Rl7FjglVfMtylYsNLJlNPlkuAlb17pYEoknqLXtjI2Fti2zZDTxMdzsmHTJn1lLSu5fp31ciNHAv/+y+fWhQuBevWY/3f2rOtjCOHcGTRQ+e03dQcTAN5+m++lJPCQTqbEmevX2UKwcWOgShW2FJw3T+o7SHzLtm3Ahx8C77wDrF0b3FX+NsbhAM7Entbf6LSLcTeYPBkoVozOWp06QIkSwE8/eX1Ywxk/Hti9W31s+XKgYUPgxg3+/+pVfs2TRb8vXmS6eGQkU8Jr1ADmzjXHbitYuFB7LC4OWLPGPFsk5iHbSkpS2LsXaNLE+fF7925mSzdvDixYAGTNap19ksDD4aACwDffpKwbNgx49FHOP8rvm224e5cqVtEbK+NdzNPesFIlr84zdy7w3HPO686cAZ56ipMPdhI5mD9ff/zAAQo2HDnCPMT4eBagtGnDuqn9+1O2jYlhbuLkyUDPnj412xIcDv1xT54rjx0Dvv2Wt6dChfh9qVXLK/MkvkIIIRcPFgAxUVFRwiOuXRPi22+FGDJEiG++EeLKFc/2NwOHQ4hq1YTgb119+fhjq62UBBrffqv9fXvzTautk6Ri9Gh+LMXwr4hDuNNn5Uj+d/v2Xp8nOlr7K9GokQEvxED0bE1eChRwvU3qJX9+IeLjrX5lxjN7tvZrzpbN/dvi8uXcPu0xRo70rf3+TFRUlAAQIyzwmeR0ua/ZsIE6Cb17s4K5Tx/+f+1aqy1zZts217lUU6aYYookiEgdwUzLd98h8a4D16/L2XM7kPzzP4HieBS/4wwK/jemAHC0aMkwnBckJjKip8XmzRk7rq++P+5EVc+d8+yY588ztTXQaN8eaNBAfez994FcuVwfIz4e6NZNvVvw4MHAnj3e2SgxHulk+pJbt4B27Vh+mJqrV/mLS07WsQNnzrjextOrpUTiiuPHVVfHIQIDLr2DPPkUREYyJ++LL1xPuUl8R+qf/yo0QQn8izb4HT0xGQ9gO67PWuyep6BDSIh+k67cuT073vLlLMwJDaVpffqk5EQaQf/+QOHCxh0vmUDsCREaCixeTMmi5HrLKlX48PL66+4dY/ly/dvQjBlemykxmAD8KtuIefOACxfUxy5fBn791Vx79Lj/ftfbVKvmezskwUW5culWJSIErfEHxmIArl+nFM6JE8DAge7fjIIGh8O0MO+DDzr//y6y4A+0wRT0xPUSDyAy0vtzKApzL7Xo1s39Y82dy1aC69YxQnrtGvP4GjTgc74RFCgArF8P1K+vPl6xoufHLFJEWyHKW7ZuBXr1Yl1nz57A33/75jxaZM/OSvwLF1hRv3Mn8Mwz7iteXbrk3bjEfKST6Us0ojRuj5tJyZKuFXEHDzbFFEkQoSKOtxBtsBYNAaR3nsaMAU6dMsEuu7NgASsdMmVieK9fv/QzJgYzaJD22GuvGSeNOXQoI1xpqVGD+pPu4HDQJjX/++BBFuMYRcmSwF9/AatWAY88QsezYkXWr61axf4P7qIowOjRQGYflOROn873cOJEYPVqRhDr1gXGjTP+XO7gqgmbGjVqeDcusQArEkH9eYEnhT+//KKf4T1zpnvHMYurV4Vo3Tq9neHhQkyYYLV1kkDE4RDi/feFCAn57/vWF1/p/mymT7faaIv54Qf1N6ZqVSHi4nx66kmThIiMTDllWJgQ773Hj9FI4uKEGDeOl6M2bVgfduuW+/vv2aN/6W3QwFh79Zg2zenr/d8yZAiXokWFiIgQokkTFrX4gosX1YtlACEyZRLi+HHfnNcXtGmj/jqKFRPixg2rrbMnVhb+yI4/HuJRx5+EBE4HqkUsCxcGDh9Wl2hJTOQ+OXJYIxa+ezfnmM6e5bxNkyac55BIfMWJE8AffwD37uHVf7pizNQ8mpv+9BPQpYuJttmJhAQKSGolFo4bR0koH3LzJiNhd++ytX1yH2g7sW+fvpJSgwa8xJnFli3AV1/RrqJFOWXdsqV55580CXj+ee3xkSMZ+fUHrl8HXngB+OWXlEh1zZrMxyxf3lrb7IqVHX+kTqYvyZKFN85HH6WwVzLFi7P9QVoHUwhW2w4bljIn2KwZxdEzktyTUSpX5iKRmEWxYqzKAPDYamDMVPXNsma1l06i6Wzdql+5smiRz53MiAigdWufnsJrypcHypThc7wabdqYa0/NmsC0aeaeMzWuclCNylE1g5w5gdmz6Rjv3ct4TZUqQdXJ1K+QTqavqVKFiryLF/OKV6oUr9Choem3/eorliumJrltxLZtVJ2VSAKchg0ZqZw1K/3Y8OFAHu0gZ+Dj6k4q77QAWJ39+edAhw7pFQkqVvzveSZoqF1bf7xOHXPsMJLixblI7I0s/DGD0FCgbVvg1VcpaaTmYMbHM+NdjfPn2b9MIgkCFIVFCl9+CTzwADNGGjZkd5UBA6y2zmKqV9d/2DQ7RGdjHnuMz+hNmgBhYfwe9e3LaXIjKuH9ifr1gUaN1MeqVwdatTLVHEkQISOZdmHPHjaz1UI2dpUEEZkzAy+/zEWSitBQYNQodZ2fqCjqwUj+o0kTLsGOolBRr1cvYM6clOhumzbA999nrNJbInEH6WTahfBw/fFs2cyxQyKR2JuuXZkz8OmnwKZNlDB66ingnXfkdUKiSa5cwM8/s+/GkSOcai5WzGqrJIGOdDLtQvnyQNWqVKdV4/HHzbVHIpHYl5YtzS1PlgQMhQrJ9H6JecicTLugKFQIVotoNmkip8F8zapVTEy6774UJWW1BrkSia85fBh49lmWzRYpAvTuba/GDRJV9u8H3n0XePFFCp7HxVltkURiPVIn00M80snMCHv3suXDhg3MTu/ShTeZsDDfnE/CMuauXdO3B2nUCFi2TL1QSyLxBfv3A/Xqpe/eU7AgewCWKGGNXRJdxo5lXWfqS0ixYsCKFVK7UWI9Vupkykim3ahUiY/Bu3fT0XzlFelg+pKEBJYsqz1srV7NJCaJxCzeeUe9PeTZs8CHH5pvj8QlsbHql5ATJ9SfXSWSYEI6mZLgZvNm4Nw57fEFC8yzRRLcOBxs0qCF/C7aksmTtcdiYoDt2w082cWLKQ07li1LLwIqkdgM2ziZiqIUVRRlsqIopxVFiVcU5ZiiKGMURcnt4XHyJO13LOk4p5OOW9RXtkv8mLt39cfv3TPHDokE0P++ye+iLTl9Wn88uXmb1/z4I+fgX3yREe8WLaiyrveQLJFYjC2cTEVRygCIAdATwGYAXwA4AqA/gI2KorjVHTdpu41J+x1OOs7mpOPGKIpS2njrJX5NrVrsU6ZFs2bm2aKFEMCtWzJqEeiEhAAPP6w9HtT9NO3L/fd7N+4Wu3ax+PPOHef1//wD9OhhwAmCkO3bKcT72GPA4MHAwYNWWxSQ2MLJBPA1gPwAXhFCtBNCvCGEaAI6iRUADHPzOJ8AKA9gtBCiadJx2oFOZ/6k80hszKlTTD17/HGmo27b5uMTRkQAH3ygPnb//cDTT/vYAB2EYKensmVpZ548wMCBsmw1kBk6VD0HOyICeO898+2RuKRXL22Z43bt2EkYR44AH38MDBoE/PQTO7x5wnffAYmJ6mNLlmg3aZeoM3EiWx2NG8cUlVGjgMqV2VZMYixCCEsXAGUACABHAYSkGcsBIA7ATQARLo6THcCtpO1zpBkLAXAs6TylvbQ3JioqSkiMZ80aIbJnF4LeVcoyZowJJ588WYjy5XnCbNmEePZZIc6fN+HEOrz9dvo3AxDioYeEuHvXWtskvmPjRiEaN+ZnrShCtGghREyM1VZJdFixQogCBZx/pi1aCHHlihBi7FghQkKcB8uXF+Lff90/QevW6teC5GX5cp+9toDj+HEhMmdWfx9z5hTi+nWrLTScqKgoASBGWODj2SGS2Tjp7zIhhNN8oBDiBoD1AMIB1HFxnDoAsgFYn7Rf6uM4ACxNcz6Jjbh7l5WYakG6V18F9u3zsQE9e/IkN24A168DkyZRM9Mqzp0DPvtMfWzdOuD3310e4sQJYOZMYO5cviyJn1CnDrByJXVab91ipCoqymqrJDo0bQr8+y+DYpMmcQZmyRIg18EtQP/+6VNdDhzwTPu4VCnvxgMVh4MqIBMm8JqYkOB6n59+0s5vvn5dFtgZjB2czApJfw9ojCcnSrhSGzPqOACoh6m2AKjozv4Sz1ixQjtBXghg+nQTjFAUIHt2Ns62mtWr9YuSli7VHEpMZKpRyZLsNtixIzW9f/jBcCslviRrVi4SvyAsDHj0UeroP/hg0srvv9feYfVq9/MAe/Vizq4azZsDZcp4YmpgcPw4EB0NNG4MvPQS0LYt34fNm/X3u3RJf/ziReNslNjCyYxM+ntNYzx5fS6TjiOxgAsX9MfPnzfHDtuQKVOGx4cNY6pR6uDJjRu8+a1ebYx5EonEDU6c8G48mapVqZWUNl+3enVg6tSM2ebPCMGCnbRJ+ydPAo88Aly9qr1vtAs98ho1vLdP8h92cDJtiRAiWm0B4OuJ26CkenX9cW9mCx0OYOFC1vB06gR89ZUfTB83bQpky6Y9/thjqqvv3gW+/FJ7ty++8NIuiUTiPhUqaI8pClCunPvHeuYZRu/GjQM++ghYtAjYsoXdoIKNdeu0q0IvXWKekBbt2ml/Lg0aAPXre2+f5D/s4GQmRxgjNcaT1+s8mhh6HIkFVK3K1uFqFC7MaV9PcDjYrKd1ayB/fk5jTZ8OzJnDqvUHH3Q/iGAJuXMDw4erj7VrpymtdO6c/mzQrl0G2CaRSNyjTx/ttrQdOlD30hPy5wf69mWT9FatXM94BAKJiYwMPPAAFTbq1XOdP7V3r/ZYliwUsn/oIef1rVsD8+bR+ZcYhg2Sz7A/6a9WrmTyo55WrqXRx5FocPEiMGUKsGcPHb8ePaiuYxQzZ/KYqfOuH3iAedp6UpZpEYJTw3qzSEePAv362TzHu39/oHhx9rLftQsoVIgvrH9/zQth7ty8hmrlvxcq5EN7JRKJMxUq8Gm3Rw/gWqpMrqZN9fM1JUQIFmWmdio3buSihyvnvXhxYO1aOqPHjzOiXFrKaPsCRVjcWDVJiP0QKDFUJnWFuaIoOQCcAaAAyC+EuKlznOwAzgNwACiUusJcUZQQUJy9ZNI5jnhhb0xUVFRUTExMRg9hGg4H25+fPk3JxypVMn6sjRvTp7pkysTrpNFawIcOpTiy0dGeP1j+8QfQpo3r7RSFuaB53ZL69x969NB2sCdP5jVbIpGYSFwcc3YuXwZq1mTen4yYuWbjRkYuPSEsjFEE+UT9H9HR0YiNjY1NSvkzFcuny4UQhwEsAx3AvmmGPwQQAWB6agdTUZSKiqI4VXkLIeIATE/a/oM0x+mXdPyl3jiYRrBnD/DCC5yubdSITpovusXt2EFt2YceAp54gtPRzZplrHDu7l2gc+f0udSJicDzz/P3bCRly7JQMKPX4Vmz3NtOCF7zA43Ro9VzWHv29Ew1JSg5fBhYv951JZpE4gnZswNdurAKumZN6WC6i6upphw5nP+fNSunxKSDaRvsMF0OAC8B2ADgS0VRmgLYC6A2qGl5AMDbabZPTrhI+0t9C0AjAAMVRakGtpSsBOAxMMqZ1on1mhs3GC0MCWG+sFbnB4DSd61bO3cGW7OGD7hz5hiXXnP9OlUt0ra0XbGCzuLKlZ4db/lyFu2pkZjImQw7NSO5ft297fLmBUqU8K0tVpAnDwMA8+bxs86alQVPDRrIe5smR47QC1+7lv8PDWWl2Fdf6RdgSSS+5NYttj/MmpWRCS0Zo0BFq8tRMsOGMT9o716gaFEm70sH015YoQCvtgAoBuAHcHo8AcC/AMYAyK2yraDpqsfJA2Bs0v4JScebDKCoQXb+1/FnzBghcuRIaRaQO7cQEyemE9sXQgiRmChE2bLaDRtmz1bfLyOMH6/fHOKffzw73qRJ+sfr08c4241gxAh9e5OXjz+22lKJLbhxQ4iSJdW/JF26WG2dJBhxOIQYOVKIXLlSvotlygixbJnVlpnLsmXaF3BFEeLoUast9AuCveMPAEAIcUII0VMIUUgIkUUIUUIIMUAIcUVlW0UIoRqTEUJcFkL0T9o/S9LxnhVCaMTiMsaPPwIDBjhL4Vy5wqlwtWYs27Yx11CLn382zrYdO7wbT0vVqt6Nm83zzzOfU4uwMOCNN4A33zTPJomNmTkTOHZMfWzWLP0frkTiC77+Ghg82DlH6fBhJptv326dXWbTtCnQooX6WL9+7DghsTW2cTL9jREjtMfUugHe1CxZcm/cEwoU8G48LTVqcKpVjfz5PZcX8jV58gCrVgENG6asy5ED6NaNDwCnTlEdKHnmKTGRDwGbNwPx8dbYLLGQTZv0x111EJFIjCQxUVu+LCEBGDXKXHusJCSEeT+vv84LO8DK8VGjgDFjrLVN4hbSycwAQgA7d2qPx8amX1etGnO/tUgr2eUN3btrp+4ULaopsaiJojBntFEj5/Vly7K7YaSWMqlF/Psv25APH86ipK1bgTNnmDvapo1zNfmiRVSvqF4dqF2b78+ECdbZLrGAXC6agLkal0iM5PRp7R67gOuHokAjWzZGdS5cYJX+v/8Cgwap3+TWrWPVaMGClFT55BPg9m3zbZb8h3QyM4Ci6N937rsv/bocOTj7oUbhwkDv3sbYBtD5++ab9L/ByEjO/mlpAwOc8v/gAzpdVaoAAwey6Cd/fkYHY2OBGTNYULJ/P51nu3DzJtC1K1CqFBvi1KsHtGzJ6v2IiPTbb9rE7VJXx1+8yALQadPMs1tiMV27ao8VKMApO4nELHLk0K/Qy53bPFvsREgIL+Ra783cuYyE/P47q1737gXefpui9XfvmmqqJBVWJIL684Kkwp/+/bXzkd97T6jicAjx2WdC5MuXsm3z5kIcPKi+vbfs3SvEkCFCdO8uxKefCnHunP72Fy8KUbFi+tdToIDvbDSSrl3VP4/cudVfe4cO2p9huXL8vCRBwjvvpP8ShIUJsXix1ZZJgpG2bbUvTmPHWm2d/bh7V4giRbTfs6lTrbbQUqws/LFcjN3fSBZjX7kyBs2asXVsav73P2DxYn0po4QE1hnkysUIoV0YPFg73adDB06Z25Xjxwod/JEAACAASURBVJkDrvV1HjYMeOst53VFinBmSotLl1LSgCSBjRDA1m834/Sstbg/YRtK18zL9n3ltRqISSQ+5Ngx3kzS9r5t3pyRuixZLDHLtvz9N1C3rvZ4u3bM7QxSrBRjt4tOpt8RGcn0j1mzgCVLGMFv2xbo2FF/Ohrg9cGO965ff9UeW7CARTFhYebZ4wnbt2s7mIB6nmxkpLaTmTmz/oOCJHDYt48z5lu31gJQCwDwWH5gSn5AZmNKLKFkSSaTf/cd85SyZaPYbZcurm8wwYir6XA5XW4Z0sn0grAwdlAJlC4qevnRiYnMbbSrk6mWB5satYjxU08B77yjvn2nTtQ/lgQ2cXEshEvbbGDBAt7Plyyxxi6JBHnzUmdNaq25JjqaU4Np29Il42m1q8QwZOGP5D9SS/6kpUYN9eIZu1CrFlCxova42oPAq6+qSzOVKgWMHGmcbRL32L6digDDh5snBThzpnY3q6VLg0uSUCLxW8LDWbGqRvnywLPPmmqOJAXpZEr+46231DvoKQrw4Yfm2+MJISGselfLofzgA8oTpSU8nK02v/sOeOQR4OGHgU8/BWJiKGUkMYfEROC556hU8NZbXKpV4zpXXeW8RS2NwpNxiURiE/r3ByZPpiYdwGm37t3Zuzltj3OJacjpcsl/PPggna6BA1Ok2CpVYmTpkUestc0doqOpWjFpEp2D++5jBFPNwUwmLIxdml54wTw7rUYIpntdvcrPPLVuqBWMHct7Q1omT6aM1quv+u7crtIsXI1LJH7L9evsHDJzJv9drx5bodWrZ7VlGadnT6BHD76ebNlkgZQNkNXlHpJcXR4TE2O1KW4hBBuW7N3LRgmNGgGZMrne7+xZ5mAWKaIv2SbxLzZv5nV4zx7+PyyMGq2jRllXT1CunHbnxrJlgYMHfXfu/fv5IKV2GSxYkLrP8j4lCThu3WL1etr7WObMTEj2h6iCxG1kdbnEJ5w+zWr3v/9OWVe2LKvIH3xQf9+CBX1rW0Y4fx6YP5/FGvXrMw9TOsDuc+IE89+vX09ZFx8PfPklHzxGj7bGrtRi+J6MGUGFCuxO17+/8/rwcODHH6WDKQlQJk1K72ACjCz0788uFlpt4yQSD5DfogBFCEqDpXYwAUaMWrSgo+ZPfPMNI7G9e7OjWJ06bORw44bVlvkPX3/t7GCmZsIEdnuygtKltcfKlPH9+V95hekV/fpRD/bddylr1KSJ788tkVjCb79pjx06xKkvicQApJMZoPz1V3qh+GTOnQN++slce7xh/XrgxRcpYp+apUvTR6Ak2vzzj/bYnTvA7t3m2ZKavn21x156yRwbqlcHvvqKDQc++ogPNBJJwOJKN/LePXPskAQ80skMUFw5DLt2Zey4O3bQKWjdmhEgMxyT8eO1x3780boInL/hqnuRGd2NhACOHGGgJPk+9vLLQJ8+6bft04djEonEYJo31x4rXBi4/37zbJEENNLJDFAKFdIfL1zY82NOmcKIz9dfA4sWMfJTtaq+E2gEeoUfCQnpO69J1OnWTXssKooFML7kr794njJleA8rVQr44Qemfk2YwAeWkSO57NnDdTItTCLxAX368AeoxrBhsquQxDBkdbmHeFtdLgQXtZvnwYNsU3nlCota2rfPeIedhAReQ9TaJmbJwmhSkSLuH+/sWaBEifRT1sm8/jo1Jn1RiPP449otLzNl4vS/1TI8/oAQvLd8953z+rx5gYkT+dkVK0ZH0OjPcdcufqfVukrNmMHuSxKJxEROnaJk0S+/sALwgQeYkNypk9WWSQzGyupyGScwifPnWbQSGUmViHr1GA1M5vPPWen63nvAF18ATz5JQWqtbiSuyJKF145caZovh4YCU6d65mACwM8/azuYAOXWfJXnqTaVmszjj0sH010UhQVUixbRqXvkET4cVK7Mgpf27dnZqUYN42WDRozQblv64Yf6feclEokPKFIEmD6dVaBxcWxvJR1MicHISKaHZCSSee0aozgHDqQfmzWL0aP69dX3bdqUAukZ5dIlYNo05sAVLUpx8hIlPD/O+++zIEKP2rXTV7MbxYgRbOGb+utaty6wcKE5uYSBiBDAQw+xsCotJUtyylqtA1RGKF1aX47o7FmgQAFjziWRSCSGce8etfP++ANwOChr0rGjX6UUSJ3MAOfbb9UdTICRpMaNtff9809ObevJvOiRN68xHVNq1nS9zf793p9HiyFDgM6dGZ29cYM9x5s1C8ycvYQE4PBhIGdOzyPOnrBxo7qDCQDHjjFFoXt3Y86VPbv2mKJQl1IikUhsxe3bQJs2wMqVKeumTeNU5JIlsl2lGwTgLdp+LF6sPXb8uGvnLKNT5kbSqhVTdvQoXty3NpQqRad86FBqfQaagykEhcGLFWNhTNGibMqRUSUAV2zd6t24JzzxhPZY69byWm0KiYnUaOrWjR/IxInaOQyS4OXSJUZGPv6YuTWJiVZbZB0jRjg7mMls2MA8H4lLAuw2bU9cFVFoFfkBdKTKljXWnoyQKRMf3EqW1N6md2/TzAlIRo9m1Pn8+ZR169axFeipU8afL39+78Y9YcAA9R7yBQpY12koqIiPZ0SmUyfqfv38M9CrF/N4Ll602jqJXfjlFz7l9unDIqDWrVkJ6IsLkD8wZYr+mEw3dIl0Mk2gdWvtsVKlgLfeYjGQGp07Z0xuyBcUKsTczkaN0o/17KlfoCPR584d4JNP1McuXQLGjTP+nK1baxdNZc5sbMV3RAQDAmPGMDpbqxZzbLduZe9yiY/56is+JaZl1y7mokgkBw8CXbumj27v2BG88g+pn/jTcukSRe2lo6mLdDJNoFcvoEqV9OtDQlhVXqUKMHs2c/BS07IlZy3sRNasdBZWr6aT8M477Cw0eXLgTV+byd69wOXL2uPr1hl/zvBwYOZM9eKerFmBxx5jvruR5+vfH1izBti0iU61Kz1XiUFMm6Y9NnOmvnSEP3D9OmUzRo5kpaTDYbVF/sfEidqdftasAebNM9ceO/Dgg9pj4eHUGAwPZ/L68ePm2eVHSLfABHLk4G90wABOD2bNyr7Iy5dTNgaghMypU6w2nzABiIlhLmdax9MOKArQsCGdhKFDKXkj8Y6ICP1xvcIZb2jenDnB777rPD0eF8coY/v2fEiS+DkXLmiP3bkD3Lxpni1G89tvTGDu0YNJ282asVLxzBmrLfMvjhzRH+/a1dhEbX9g8GDtsVu3+PfOHYr91q9P0WaJE9LJNIk8eah/efYsZyP+/JOOZmqyZ2c+fp8+TIORBA/lyrGbkhZ6hTPeUqwYz681MzRxIivRJX6M3gWlVKn0grr+wtGjFMu9ccN5fWwsnSKJ+7iSMLlzh1NXwUSHDkw1SV2ZqFVkcfIkb/ISJ6STKZHYAEVhBFutyrplS/2WkJ6QmMi2oNWqAfnyMT9yzhxeR/WYMMGY80ss4rXXtG+Or7/um1ZdZvD999pT/atX+06aIRB5/nnt4oBklixhHmIw0a8fpxkXLmRemF4Oplrec5AjdTIlQceBA8xxL1mS3W7sQu3anI0aM4b6lZGR7PzUs6cxur9CAM8+65yet24dF1ddk/Ty3yV+QOPGnNLr3z+lmjwiglWH/iwL4ao11aFD6gnxkvSUL0/lAb1pE7sXuezezddw8SIQHc1othH6aDlysFLSlZ6gvz6s+RAZyZQEDefPU1+zQgWquVSpwkienfK1y5RhVDE2Fli1ivmQRjWW2LhRu/7jyhX9fdUUBazm8mVg+HDg4Yep4/rdd5zRk2jQtStvkn/+yYTvU6foZPrzjVFPU82dcSs4dQp44QXmUEVEAI8+yupJO9C5Mxctmje3b6ebUaN4UR8+nDk+ffpQcNjILiFFinAaSIu2bY07V4Ag20p6SEbaSkqsRwigTh1g8+b0YxUrUqXDrtdOoxgyhD3mtVAU9UBFRAQdcTu17zx5ki0xjx1zXl+/PrBsmewgFDQcOMDpCLWq6Dp1KJptJyf67Fnqd5044bw+LIxV8Q0aWGNXag4d4rRKWrmLbNmAtWvtWem5ZQvfVzWiozlu1Pdg1SpGK9KmDZQtS9kMO10ok7CyraSMZAYg27ZR1qx0aRaTjBwZ2I09zp5lC8SFC1MK/tKyZo26gwkA+/YBv//uO/vsgqtUqldfTa9mULAgI6B2u26+9lp6BxNgmoHMvTeQ48eZkDtunG/7xmaU8uUpXRQW5ry+QgXgp5/s5WACjLaldTABiuW//rr59qhRtiyd886d+b6GhnKq+K+/7OlgAsyV1CImhlEEo2jcmDlGbdpwGj1/fuZtrl9vvwulDZA5mQHGn3/yehAfn7Ju2zY6YMuWpb8W+zMOB6/LY8emBDJy5eJ0c9pCGVeB55gYFhIGMs2baztgigK8/HKKzOCuXQwE1a1rv/v0nTssVtJi5kzg7bfNs8fvuXWLIrdZs6asE4K6VsOHO2tOPv888M03bAFmFYmJwIIF/BLcucOb/u7dwB9/MCemenVOW9pxamLhQu2xjRsp8O0qQdoMKlSgeHPy1IbdLgJpOX1af/zMGX3NS0+pXTs4IhMGICOZAYTDAbz0krODmczatfp6zP7IiBEUs089U3b1KvD003y9qcmXT/9YrsYDgebNgaZN1cf69WP6WkgItxs4EKhXz573llu3tDWjAX4HJG6wejWnZyMimF/QunVKNfaPPwLDhqUXNf/+ez6JWMXduxRv7diRTxNz5/LpqFUrtsz8+GOO2dHBBFwXztgtfU1RnC8CW7cywlmwIKfK3njDdUK3GegVdykKUKmSebZInBFCyMWDBUBMVFSUsCM7dwrBq5T60rKl1RYax927QuTPr/1aH3vMefurV4XInl1929BQIU6ftuZ1mM3Nm0IMHChEZCRfe5EiQnz2mRCJiVZb5j4OhxDlyml/9h06WG2hHzBnjhCKkv7Ni4wUYv9+IWrV0n6DCxfmh2AFX32lbVfnztbY5An9+2vbX7Om1dbps3atEGFh6e2uXJkXWCs5dkyI8HD197VTJ2ttc4XDIcSsWUK0aCFEtWpCPPOMELGxhp4iKipKAIgRFvhMMpIZQKhFMFMTSJW3587py+qkTcGJjGQkN22AIySEVcnB0t4wPJzR30uXgGvXmB42eLB/tQRVFM7kqpE5s31S22zL5ctM2hYqUbNr19jKS08a6PRp7eRnXzN9uvbYnDlsVWVnBg9Wv9iEhnJqxq4IwZZ1ajeZ3buZs2slJUqw89P/2Tvv8CjKro3fkwQIEHrvIL2ImIAiFpoUpdcXpIqAiiiKWEAUFFGxgSCgWECaIB0UUASkK70IUgXpNXQCac/3x81+m93MzLbZmdnN87uuuSDz7M6cbHZnz5xyn8KFXfc3bw589501NnmDEOyC79QJ+PVX1rb98AObmIyc6WshIfTVIvFEtWr6aV/3CUOhTO7cQObM2uvu1xqAWbZ9+3idb92akoG7d3MaXUYjMpJNPnZMh3tDt27sRylQwLnvnnv4PfPgg9bZFRKMGaN/x7liBVCypPZ6/vzqA+/NwKHxqUZKCp1kO1OsGGsvu3blaxgZyRqWVatYW2pXTp6krpoWixap709O5gf1gQdYj9O6NZtmgkHDhsB//7Hu9YcfgD17WDdpx9nMDtasYZTDneRk6td5ihyFALLxJ4zIkgUYNowlSu4ULw48/7z5NgWL7NmpGawV2Hj6afX95crpy/hIQofnnuPfefdu3nDce29oRWQt49dfPT/m2WdZ4K21ZtULHRenPWO7aFH1u0ujiI9nCqBECdcmKV8pVYoXrqlTGcky47VMTqZD6+9dpV4RNKAuXZGaymkSc+c69/33H+8Ep08PztjPzJlZWxwqzJ6tvXbhAuummzQxzZxgIC/JYUb//qzNd2gQR0QArVrx5jHcmls+/xyoXj39/qee4mQbSfiTJQtQqxYbR6WD6SWeRgc2bEhHsm/f9GstW2rXKpjBq69qd7a/9lpwut7PnGFTUYEClEwqUgR45x3PjpcnFCW4b9rUVF4ky5RhOr54cWDECP/GQpYqxTt0LRo3Tr9v+XJXB9OBEIyEhLOunrfcvKm/bvfyD2+wohA0lDfYuPEnLSkpbGa5ds1qS4zjn3+E6NVLiAoVhIiNFWLUKCHi44WYOlWInj2FeO45IVassK4nQSIJCT74QLv5JCrKtQtu+3Yhhg8XYuhQIdats8eHa8ECIYoUcdqcLRttDIZtt24JUamS+mvVv7/x5zOS559Xt7tDB/9eqzlz1I9XuLAQp06lf3yvXtrvM0CI5csD/x1DnUmTtF+fyEj119UPrGz8sdxpC7UtVJzMcGPTJiGyZ0//OXzoIX4PSCQSL7l8Wd1xUhTesYUCiYnsdv7tt+B2Nn/3nbYTEBVlmBNgOAcOaNsNCLFxo3/HXbRIiPvvd/7+7doJceSI+mO7dNG3YeFC/3+/cOHmTW2pjH79DDuN7C6XSHQQgmUAapmFTZs4plYikXhJ7tysn+nfnzU00dEcAL96NTuqQoFMmThXtFEjSkcEizVrtNeSkzkZx454qrtdvty/47ZsyQag69d5QZ47lx13amiJ8gKsc3n4Yf9sCCeyZePnrkULZ71szpzA4MGcMhIGSCdTYnv++09/Yo9a2Y9EItEhf36OxrpwgbVxK1YAdetabZX9yJZNfz17dnPs8BVPtZ6BykrExOjLewBs+tESSR84MPyaBPylWDE2Q509SzmoM2coI+apdjpEkE5mGHPlCuc7+1PnbSc86XvK+nGJxMbcvk1Jh+rV2Zndti1TEN5w8iQwZQolac6cCaqZqnTsqL2WL599ZYeefFLfkWzZMvg2REdTmqlbN6dDWqQI57ePHBn884caBQsCVap4vrEJMaSTGYacPMnreL58bCwsXpw6v+4T4kKFcuV4s6eFXa/zEkmGJymJkjJvvEHdwpMngQULmOpevFj7eUJwZGHp0tSp6tmT2p3vvacuIh8s6tVTl6qIjKT+YyBSRsGkTBlg0CD1taefBmJjzbGjQAFKNV2+TBH/EyeoEBCqAr0Sn5FOZphx/TqviwsWOJ3K8+d5vR42zFLT/CYqCnj3XfW1AgUoqi6RSGzIrFmMZrmTksKa0JQU9edNnMg747Trycm8iE2fHhxb1VAUFn1Pn85pFlWrUiNt0yagQwfz7PCHUaM47ea++xgdq1yZdX5WFLFny8YoZjAkpiS2RhFm3hWGAYqibIuNjY3dplckaCHjxgEvvaS+Fh3Nm8k8ecy1ySh++IHO5tGj/LlJEw4vqVTJWrskxpKYCEyYwL/3xYsMurz2GvDII1ZbJvGJhAROePntN+3H/PUXp8G4U7EicPCg+nNiY/WLtCUSuyME8Oef/EKuUoU3AEEkLi4O27dv3y6EiAvqiVQIj8pSyf+j1wx5+zaweXPoDhDo0YPlPadP88Y4b16rLZIYTUoKSz1++cW57+RJToqbNcv+wSMJeJfw1lvA118ztaKH2ti8lBRtBxMA/vknMPskEiv5+2/OKt+717mvcWNgxoywbIaS6fIww9NIYatGDhtFRARrTKWDGZ4sXOjqYDpITWV2NTHRfJskPvLMM2zu8ORg5s7NMZHuREayCcIoTpxgWHz6dHbTSyRWcf06Hcq0DibAaL9ek1kII53MMKN9e+21okWBhx4yzxaJxFfmz9deO3/evrKEkrvs3+99zeQ772h30t53n/bzEhKAHTs8Hz81lVI5pUuzcahbN96hfvKJd/ZJJEYzc6a2SsLq1WFZBiKdzDCjRQugXbv0+6OiWEufKZP5Nkkk3uIpUmn3SOapU9SqvnrVnPP9+SfrVV98kc1+gY7TDph16zw/pkwZNp+8/LL2Y4oU0T+GeyRIjTFjgNGjXWU1EhOB118H5s3z/HyJxGh27QpsPQSRTmaYERHB2rVJkzhQoWJFZzOkGdJoEkkg6A0JyZYNePBB82zxhePHgaZNGSiLiwMKF6bjp1ZyaASpqUDfvsxMfPop8OWXrGV99FHq41qGp3qcV14BjhwBevfWl7EpWVL/OEWL6q//+y/w4Yfa62PG6D9fIgkGnspAjCwTsQnSyQxDoqKAPn2A9euZvZoxA6hZ02qrJBLPdOum3Wg5eHBwJwj6y61bdI7TTvK7fZuOX9++wTnn1KnqSjSOyKZlNGum72j26OGdRmKPHtpyN2XLak8nunOHzy1bltIEWuzb59kGSXC5dYsNXpbeFZlMt27a05iKFGG9ZpghnUyJRGIbsmdnaVLXrs4hISVKUJrrrbestU2LH38EDh9WX5s2jUE1o/n2W+216dMtnIKVJw9T1GoMHKhfa5mWcuXoRbs7mgUKAHPmaDugr75KD9wTetMdJMElMZF3QoUKMdVWoADQpQtw6ZLVlgWfsmWpz+Z+o5UjB1OQnkZ1hiC2kTBSFKUOgKEAagPICuAQgO8BjBNCaCj2qh5HT/jzLyFE7YAMlUgkQaVQITpnkyaxGTN/fs+jmK1ErxnJIYd3zz3GnvP0ae2127eB+HgL/ahnnwUqVADGjmUqpXhxhnT1uhLVePppRiynTmWzxL338u4jd271x1++rO99p6V3b99skRhH7978gDtITmZDzIEDrOsK98aBZ59lXcvkyU6dzF69PNchhyi2cDIVRWkFYB6A2wBmA4gH0ALAaAAPA/BVHe8/AFNU9p/030pJKHP4MLB1KwMt9euH5Q1j2JE1a2hIbuXMGdi6P1Sp4hxK4E6+fDYo7apf35h5r/fcAwwf7t1jDx/2rgi2c2egX7+AzJL4ycGDrg5mWrZtA5YsYXFxuFOlSoZRObDcyVQUJSeAbwCkAKgnhNh6d//bAFYBaK8oSichxCwfDntMCDHccGMlIcetW5Ttm5Xm3VOkCGXzGjWyzi5J+NC5s3YfSf78wOOPG3/OAQPU9UQB6ol6DAbdvMmcer584TNHulAh/fXy5Tlm8ZFHwud3DjU8qQ+sWZMxnMwMhB2SUO0BFAAwy+FgAoAQ4jaYPgeA560wTBL69O/v6mACzLy1bKldRyeR+MIDD7AU0J1MmZi9jY42/pyNGlGSLK3MpKIwEzd0qPbzcOQIRz3mzMlauMqVWVQaDpQsqe/RjxnDNKV0MK1DSxfVQfbs5thhZ27cAHbv1tbTDDEsj2QCaHD33+Uqa2sB3AJQR1GULEIIbwVBciuK0gtAYQBXAWwTQvwZuKmSUOLcOe3MzO3b/JL+7DNzbZLYByFYArZ1KwN6LVuy/t4fPvmE2eHvv3eWD/bvz3+DxXPPcTrd8uV8P9etSwlKTc6epZOV9svrwAFqnCUmsis71Pn2W6BBg/TdVoMGAU88YY1NEidPPklH8uZN9fWMPDc2KQkYMoRfTI7X54knOJ61RAlrbQsAOziZFe/+m25YrRAiWVGUowCqArgHgLdDa+8D8F3aHYqi7ALQTQixx5sDKIqiJb1fyUsbJBazf7++OPUer94JknDk0iVm5daude7LlYtlFK1a+X48RaF6T7NmxtnoDblz09H0inHjtKMjQ4eywzfKDl8JAVCqFKNAP/7IjqxcuVjP8MADVlsmAfj3GDuWNUzuvPIKcP/95ttkF/r3Z7djWpYt493rrl3+R3mPHWPdmEXY4YriUL7TmpHh2K/RUpiOz8EmooNgI1ElAG+AaflViqLUEEKc8tNWSQhRuHBg65LwpWdPVwcT4JSejh2Bv/9m+V7YsXKl9trJk8ChQ9oipQ6OHAGWLmUYuGlTdpHbjezZ2cEsO8jtSa9efN988QXwzz+UQejTR31UXUbhxAltZYQjRyh27avo7qFDfF3XrAncvgAwxMlUFOUYgFI+PGWGEKKrEed2RwjhXh21FUAHRVHmAmgHYBCAV7w4Tpza/rsRzthA7ZQEn4oVgTp1tCVmnn7aXHskxiMEhw6sWkXFgDZtgEoecg3//gv8/LP6WmIigwlh2fjpSVJBb10IppxHj+b/HTz/PFXn7awxJbEfjzzCTUL++st1/Kk7Gzb45mRevswI6Cnr42lGRTKPgFFDb0mr8uaIVGrN8nDsD3QswFegk/lYgMeRhBBTprAX4Phx1/1vv22MworEOhISKL24dKlz35AhHE390Ufa/R2HDukf98AB42y0FW3banf3Vq+uL+b5zTfA55+n3z9xIsO+r3i8b5dIJFp4Kgb3tVh88mRbOJiAQU6mEEJn4rBHDgCoCaACAJc6SEVRogCUAZAMINC5GRfu/ivb1zIQ5csz/Tl9OrB5M3Uyu3ThfGlPXL/OG8IiRcJfHzgUGTLE1cF08PHHLO3SqlX0VEPvaWx2yNK3L0Wvt2xx3R8dzXpNva7rL7/UXhs3TjqZEvuydi1T83v3cuZ9796s07WTykC9ehS3PX9eff1///PteHoTIkzGDjmOVXf/baqy9hiAbAA2+tBZroVj0k8QhrxJgsmdO/qZBE/kyMGs3uTJDMZ4cjAvXOBgkXz52EdQpAgwYgSQ4vXcKUmwSUyk5KEWEydqr1Wpop2pU5QwLuXLlo11Be+9xxehZEl2lv/1F/CYhwSPXvj36FHWpRQsyAab7793TalLJFYxeTIduPnzmaJYvZpRhhdesNoyV7JkYbZALZrRr5/vpQXBmADhL0IISzcAOcEo4x0ANdPsjwawEYAA0MntOdnAhp6SbvurA8ikco7qAC7ePdZTAdq7LTY2VkiCz9SpQlSpIgQgRM6cQvTvL8Tly8E95+3bQtx7L8/pvg0YENxzS7znzBn1v5FjK1lS//nHjglRsaLrcyIjhfjqK3Ps1yI5WYhDh4Q4ftxaO9JRqZL+C+6+vfii1RZLMjpXrwoRE6P9Ht20yWoL07NrlxDPPCNEzZpCNGsmxLx5QqSm+n6cFStcftdY+j7bhBU+nhUnTWcE0BpMid8A8C2AjwHsv+sUzgGguD2+3t21P9z2TwFwCcBCAOMAfArg57vHFgAmuR/LD1ulk2kCn32mHV4JTgAAIABJREFUfl2IjRUiISF45506VfuaFBUlxKlTwTu3xHsSE4XInVv7b9Wggedj3LkjxKxZQrz2mhAffSTEf/8F3249pk0TolQp5+9Qs6YQGzdaa9P/M2aMb04mIMSePVZbLcnIzJmj//589VWrLQweqalC9O1rCyfTDulyCCEWAqgLiq+3A/AigCQAA8Eopre5l4UA1gCoBqAHgJcAxAFYBqCVEKKvD8eylOvXmaKtVo0Cy927s7YwI3D9OjBsmPra9u3BHVDyxx/aa8nJbPKTWE+mTJxuo4U32bDMmVnq9PHHwBtvWFuLOWsW0K0b8N9/zn1bt7Jpbd8+6+z6f/r3912OYeHC4NgikXhDQkJg66GMogBffcUygVatLJ2kZAedTACAEGIDgCe9fOwfANJV7d51VkP+ynbzJodWbN3q3HfsGDB3LvD77yx/Cmc2beJkLS2WLw+e/JCnEYBZswbnvBLfefddyhHNmePcFxEBDB8eWuOPhdC+qbp1i07wlCmmmpSeyEjWWvbvT/0nIYArV7SHtgOcYCKRWIVjhKhWXKlePVPNMR1FoaZbmzZsRNi+3RIzbONkhiMXL7KZ8/hxas926uRdPe7XX7s6mA4SEoAXX+SanRrjjCYyMrD1QGjfHpgwQX0td246/xJ7kCUL8NNPwM6dTp3MVq3sNYFNCOooT5jA/phy5eindezo/AyfPw8cTDfvzIm7aLylxMZyA9itq+dkNm5sjk0SiRqlS3OykJrI+f33A61bm25SRkQ6mUFi+XI6LGlHtA4ZAvzyC/Dgg/rPnTdPe237djqtpXyRvg8x6tSh1NDly+rr/oz984bkZE7dK1XKNW0J0CEYN44Nunbh1CkGi0qWzNha2DVqcLMjr70GfPaZ8+ezZykev3cvm7wBRsf1Ai4WZrr0qVqV885/+CH9WsuW4Z9ykdifiROBQoWA8eMZec+UiTUyY8ZIXTqTyMBfTcHj0iWgQwdXB9Oxv21bSvLoEeh6qJM1K/Dpp+pr9eoFZ/rY7duckteli6uDmTkz51GvXUtZIzuwYQNQqxZQvDjrdStXZumNxF7s3+/qYKbl/fdZAgMwu9FUTcDtLr5K5JnKN9+wPqFgQf6cNy8LXGfPDu90iyQ0iIrih+3sWdbWXLoETJtGfTqJKUgnMwj8+KN2TeHp04xm6tFQR9q+ZEmgbFn/bQsVevXi61SvHnUu77mHNXhLl/K6YTSjR6uPdk5M5I2wXSag7dzJZpC05RQHD9LxXrLEOrsk6dHrexHC9e81ejRQoED6x8XFAS+/bLxthpEpEwtKz5xhpOj8eY5b8lTcLJGYSZYsvCP3dXKOJGCkkxkETpzQX3cfcejOgAF0bNR4//3g1iTaiSefpHbutWvAkSPAO+8Er/Fm6lTttZkz7dPD8OGHjLqqMXy4qaZIPJCY6P16xYoshRk0iOViDz3E+elr1gAxMcG10xAiIoBcuTLOxUkikXiFdDKDQMWKga0XLcoRw82bOzNOFSsyQtqtmzE2Sly5dEl77fZt+6hdrFmjvbZ9O+WfJK4kJemrFQSLxx/3bb14cTqW27dzKtygQTaux5RIJBIvkE5mEOjYUTsSWbGid02X5csznXb1KnDuHPDPP9qzmMOFW7fYCNijBydprVlj3nS6mjW118qXt0+WRa/xKCKCNaQScvIka2xjYvj3q17dVe4o2Dz0EPtf1OjUCbjvPo0nXrvGWsfBg/nvtWtBs1EikUiCiXQyg0BMDGsH3aVUKlWixJwvGaUcOVhTH+419KdOMU3Ypw9T1xMnsh7zuefMcTRff137NX7zTfu8/h07aq9lz86bEgkQH0+ZvJkznWnpPXv4+qk1QwcDRWH/y+uvU/4KYF/MW2/p2LB+PWvH+vZlbWPfvvxZTgGQmEliInD4MD9IEkkASCczSMTGso5w4UJg7FhKGv39N3XyJOnp109dK3DSJGohBpt69eiQpI1A58zJLvdgCb/7wxtvqDeIAEyVDx5srj12ZcIEZ/e2O2+9ZV6NbXQ0MGoUcOECdXPPnWNdtWrE+eZNave5f7HHx3O/u1yFRGI0qanAyJGs2SpfHsifn5pxnhoNJBINlBCZsmgbFEXZFhsbG7tt2zarTQkbLlygc6f1VmzShE66GSQmAn/+SSfkwQft2XRRtizVONTImpXZ1WB04IcSjz3GumYtdu1i+txWTJ3KWhG9dVmULQkmgwczgu5OmTL80NilbkjiE3Fxcdi+fft2IUSc2eeWkUyJ5Vy4oJ8SP3fOPFsyZ6aD0rChPR1MQD8lnpAQ/jqq3uBJZ9mWTrj7BABf1yWSQLh0iVpaahw9aoPZppJQRDqZEsspXVr/BlmzQSKDUquW9lrlyrIjGdCfClWhAuujbUf58oGtSySBsHmz/h2qnrSFRKKBdDIllpMtG/DCC+prUVHASy+Za4/deeMN7TGSQ4aYa4td6d2bQubuREUBX3xh0zGcrVsDxYqprxUvLmctS4KLp5m58u5V4gd2vNRKMiAjRgDPP+/aeZ8/P7tzY2Ots8tMrl1jraWW2LqDevX4uhQt6tyXNy/w5Zf2GX1pNdmyAatWAUOHsoa1QAFGN9et0x/haCnR0ZSlKFnSdX+pUhx/lSWLNXZJMgZ16rheVNzp0ME8WyRhg2z88RHZ+BNcTp0CNm1iPWT9+hnje/XiRU55+uknIDmZg1P69eMYTb3awqQkCncnJ9MRD9Y0JInJJCXRqfz3X85TbdbMc5GpRGIEP/8MtG2bXn7hf//jNBC7aLlJfMLKxh87lr+HJEJQh+/iReDee7VlZiT6FCsGtG9vtRXmkZhIcf4dO5z7rl7l+MgLF6jFrUWmTOyAl4QZmTLJ1Lgd2LoV+O03/j1atvQ8qi0caN4c+OsvYMwYYNs2fpF1784tWA5maiqncEycyAaj8uVZP9Wjh/HnFAJYtoxKDZcusaamX7/02YOUFGoOpqTwC13e5PmPEEJuPmwAtsXGxoq07NwpRI0aQvAdLESmTEI895wQt2+LsOPOHSH27RPi5EmrLbEfJ08K8dNPQvz8sxC3bnn3nFmznO8b901RhPj33+DaLJHYgqQkIVauFGLOHOvf9HfuCNGxY/oP5MCBQqSmWmtbOPLCC+oXwNdfN/Y8qalC9OuX/jw5cgixcaPzcUuWCFGmjHO9cGEhvv/eWFtMJjY2VgDYJqzwmaw4aShv7k7muXNC5M+v/hnp0yf9HztUSU0VYswYIQoUcP5+WbIIUa+eEH/8YbV11pKUxGtXZKTztcmbV4jZsz0/V+2al3abOjX49ksklvLHH0KUKOH6xu/USYibN62x5513tD+QkydbY1O4smeP9mutKEIcOWLcuX77TftcFSoIkZIixLp1rhfytNtPPxlni8lY6WTKxp8A+fZbpsjVmDwZOHvWXHuMYvt26j5Xq8bayKeeAl5+mSlcB3fuAH/8wXWzRvXZkeHDOWEmJcW5Lz6er9nmzfrP9VRHKessJWHNf/+x5tR9osysWUxjmk1qKtO2WkyYYJ4tGYHFi7XXhACWLDHuXDNmaK8dPMjygI8+cr2Qp+X9942zJQMhncwA2bJFey05Gdi509jzJSfzc/nOO5RiCYYTu2gRa/2mTwf27qUjOWuW9uOFoMxQRpx6d/s2u7rVSElhaZMeevWnMTGcdiSRhC1ff6194Zg+HThzxlx7bt50vZN2R2vUlsQ/tBw6b9d94fJlz+t//qm9vns3cOuWf+fesQN49VWgZ09g/HhKiWQQpJMZIHny6K/nzWvcuU6dAu6/n1IsI0YwsliqlLFRxMRE4Nln6cz6wrVrwO+/G2dHqHDihP4Ent279Z9fuzalm9xRFGDcODnFTRLm7NqlvZaSAuzbZ54tALUgCxbUXi9b1jxbMgKe7qKNvMvW65LMlAmoUYPSHlpER3MknK+MGEH5j88/55d1//5AlSrA/v2+HysEkU5mgOiNEq5QAahZ07vj3LiRXjVC7Vx//+26LzER6NUr/X5/WbfO/zGORo4zXLKEafiCBTnxZ9w43x1fM8iXz1Xb053ChT0fY/x4YOZMoEEDTqJp147DNXr2NMxMicSeFCoU2LrRRESo3/U50JoaIfGPWrW09Td79gSqVjXuXH36aMu+9OnDL5vOnbWf37Gj7/NoN2xg2tGdU6f4hS4ygISkFYWgobzBrfEnNVWIV15JXyOcM6cQmzalL8B1Z9YsIapW5XMyZxaiSxchTp1K/7j9+7VrlgEhSpYUYu7cwJsfFy/WP4/WFhWlbrc/fPGF+jk6dbJnc2e7dtqvy4wZVlsnkdiYNWu0PzxxcdZ84BMThejcOb09gwbZ8wIU6ty5I8SwYUIULMjXuWhRIUaOZEel0ezezfdV2u7Vl16iDUIIce2aELVqpf/bly0rxOnTvp+vVy/9L849e4z9/TSwsvFHirH7iJoYuxDAypWMhF+8yOjls89yEpwe333H8XfulCnDGuS0qfjly4EnnvBs32uvAR9/7OUvo8KFC9Sq9BRVdefll4HRo/0/r4PLl3n+hAT19dWrOfHGTpw9yyjkP/+47n/mGepcSv1ie3DxIiXykpIYJS9TxmqLJAAY6RkxwnVfkSKsv6lSxRqbANbRrVjB6FXLlkC5ctbZkhEQghf+rFmDe9EUgqnqixcZKXWvaUtIYNfuwoUs2WjcmF/ouXP7fq5mzTjFS4sVK4DHH/f9uD5ipRi7dDJ9xKiJP4mJ1H/VSk1/+CHw5pvOnw8fpkatN+zeTf1Yf3n1VZaPuFOqFB28JUvoDArB7MPLL9NWI+ZB//QTh0toMWCA52Yas9mzh87k5s10YKpXZ6bnscekg2kXxozhe9RR0qEozIqOHatf7iAxgYQE3j0uWwZcucK79B49/PtSl0jsxODB7FhXIyKCRf2OUZ63b3MAQEQEPwP+1H9qYKWTKWsyLWLPHv3axxUrXH8uV877Gug5c/y3C2Ak9L33nDd4EREcQLJ+PTBlCgclXL8OnDwJnD4NDBlijIMJeI6g+hphDTbjxtGpHDeOgzK2bwfmz2fwQzqY9mDJEuCVV1xrhoWgGs2oUdbZleG5fJnh/jx5GPGZNYuF7P37SwdTEh48+yyQLZv6WufOTgdz0iSmPh99FHj4YUZ0Zs40z84gIp1Mi/A0pUqtvnjqVOCBBzwfWyvV7C2RkcDbb9OBPHiQKfQFC1zT/9mzM63tax20J+rX148sNW5s7PkC4Z9/GFl159o1Xj/s2KiUEdGLfI8da6xKisRLkpKYJvz+e6f3f/EiU+cvv2ytbRKJUZQuzXnwxYq57m/fnvJdAKNCzz7L6I2Ds2eBLl041jTEkU6mRVSrBtxzj/Z6q1bp9xUsSBmv777TP3bduoHZ5iBLFqbojZRh8kTRotrfMY88woCHXZg2Tbs58MQJYNUqc+3xBSEYdf3tt9AdGOAteio4584xQysxmWnT+AZUY8KE9OLsEkmoUr8+Z7L/+ivw44+M3MyZw0gNwNo4LbRS7SGEdDItIiKCURS1SOADDwBPP63+PEWhZJGW0kLt2t41CNmZjz8GPvvMGTnNkQN48UWWbBkdOQ0ET1JP58+bY4ev7NjBFH9cHEswihdn1vL2bastCw56DXgxMUDOnObZIrnLF19or6WmUsNLIgkXMmViGq5TJ9fmiuRkXpC18DQyLgSQTqaFNGvGa2nLlmygKVeO2aKVKz2PE5w8mQ06MTH8OXNm1sovWxb6jQwREcDAgcDx44wyxcfTIXf8rnahRo3A1q3g/HmgUSNXXdWUFGYtrZjiZwZ9+mivPf2059IVSRDwNDlH/lEkVnP1KiOO06bxyygYREbq3+Xmzcu0099/U23h9Ong2BFEZHe5jxjVXW4UCQl83xUsKKfDeEtKCrBpE/sO4uKctde+cuUKULGiesSySRPKTtmNDz4A3npLfS0ykqOk3cuHQp3UVDqa33/vur9uXZZL2e3mJUOQMye7B7U4f15bOFsiCTbffMNuQcfI04gI4LnngiNH0a8fMHGi+lrfviwr2brVaUeXLny8I93uBbK7XOI3WbNy0pl0ML1j7VpmKx59lBHkkiXpgPgzrSh3bqoAVK7sur9ZM5be2BHHtUqNlBT9KX+hSkQE8O23vLF4/XXW/P78MzMG0sG0iAYNtNdKl5YOpsQ6Vq6kc+dwMAHeqU6YAIwcafz5RoxQ1xysWRNYvNj1op2ayshqr17G2xEkbFThJpEEl6NHgSefdL12pKTQAcmSBfjyS9+PWb06sHcvG7LOnKG2b8WKxtlsNPnyBbYeqigK65Vr17baEgkAhtOXLlXXJJswwXx7JP6RmsqZyDExxunYWY0nOYrBg40t58iXj18gU6aw3i0ighGQa9dYN6bGTz/R4Q2BAQFh8q6QSDwzYYKrg5mWb75xVZDwBUUBHnoIaNvW3g4mAHTvrr1WsSJHCUvSs28fM1STJ1PSSxIgtWpR2iBt4XKFCtRKC/XOxYxAUhIwfDhQuDCQKxdnzL/9NqeMhDp792qvXboUnI7ObNmYNl+yBFi0iJ2YntJKWuoMNkM6mZIMg14TX2KivtRNuPDoo0wZu5M7N3VYwyUYYRSJiUDXroxQ9+vHLFXx4gxoSMA6k927mSbwlXr1+EV5/Dgbgfbv59QHif3p0QN4913nHdfFi8D77/PDEuroFelnyWKepp+n85ipLRgA8itFkmHwVOaVUcrARo0C/viDDlOLFgxI7N3rndB/RuPtt4EZM1z3JSZShP/XX62xyRYIwdmzxYoB991H0d8HHgB8bYhUFKBECQ6SlyOyQoMdO7SLzufMAbZsMdceo3nmGe21Ll08S78YhZ7DXrw4b9JCAOlkSjIMPXporz34IFCpUuDn2LOH373jxgHHjgV+vGBRty5F/RcvBoYN87/DPpy5c8c5lEONcePMs8V2jBlDDbW0NSZbtgANG9r7jS8JHPeZx76u250ePdQba2rVAj791JhzCOEc4ZcnD3D//bzYpKY6HxMbywiAO9my8bl2Eo3WQTqZkgxDkybq04QKF2atXSAkJbHesXp1fve+9BKDO2+/rT0VSGJvzp+nVJ4WBw6YZ4utuHOHWlhqXL2qL7QuCX08Nb2EusapQ45i/XrKGD3/PCO0GzbQITSCt96iM7tlC7Xwdu6kRJK7WPGwYZRE6dWLXatvvsm0U/36xthhAlIn00fsppMp8Z21a4Hp0zndq3BhftabNg0sWzd8OEuU1JgxA3jqKf+PLbGGW7fY+Kk1Cal+fXuPDg2I1FTeHalpAu7dy7m4WlSuzC9PH3T8JCHE4cOuU2vc2b/f/h2QVnLsGCMQWr7Xrl2MVhiI1MmUSEykYEHelK5ZA8yezRvEuDj/s3ypqdpauoB/0kgS68mWDejWTXu9b1/zbDGNAweAdu2A6GhGpBo1orxKWjyJi/7zD+sv3n9fhvHDkXLl1LsHAUruSAdTn19+0f9cLFpkni0mIJ3MIOLQb61albXCVaqwjitt2YXEXO7cYdTSvZN8xw6KqKek+H7Ma9f0VS0OH/b9mHbi4kVg4UJeG7UkoMKVTz9lR747r7wC/O9/5tsTVI4cAerUAebPZ/2HEBxlV7cusHGj83GlSlGzS49r11grMmpUcG2WWMNHH7Eu8MEHgfz5Wa84ebJxNYvhjKcvGX++hGyMdDKDyIABwAsv0KG5fZs3+C+9xBIPiTXMn8/RiWrs20fpPl/JkUNfTaJ0ad+PaQeEoJ9QvDjQpg3QvDmbid3HM4YzOXOyE3/ZMgZv3nmH2azPPw/DZugPPgDi49PvT0wEhgxx3Tdhgnf1aZ984t84LYm9URSG+f/8kzJGmzcDPXuG4YfCR5Yt44WyShVGLX75Jf1jGjXSP0bjxsGxzSKkkxkk9u/XTpNOmsR59xLz0dPZBfz7u0RG6qdOQ/Wm4ssvmfFM6yNcvUqFD7MbSA8eZCbuySf5WpupkhIRwej3qFGsuzW4XMo+LFumvbZmDYtUHdSowWaFQYP0ay/j40M/lC+ReMPHH/MC9csvjCgtXUqH030UZeXK2mMhW7f2nCUIMaSTGSTUbmDS8vPP5tghcaVIEf11f6V8hg9X15EeMIA3+KGGEPqZLzOzYosWcbTv6NH0g775hsofsonZYPSU+BUlfZSqZElGKj3N6syVK3DbJNZx8SKjJlodcBLgxIn00X4Hb7+dvuD/66+ZOXB84RQoAAwdCsyaFXbRYOlkBglP9e6yHt4aOnViQ4caefP6P3AkSxam4jdupMM5ciSjpmPGhOY148oVDmLRwtPEM6O4eZNOutq0uoEDWUYoMYiWLbXXGjfWFqHWk0547DHWW0hCjxMn+J4oWJDRt8KFWS8SZjWDhrBggfbrIgQwb57rvqgozkA/eZKz38+dA0aM4BdJmCGdzCDRtKn+uhzPaw358nFYRXS06/6YGOCnnwJTXXHMMB82jDe1VaoEZquVxMRoO+MARxWbwc8/0+FVIzVVe/CIxA8GD1YP9cfEAB9+qP287t2BVq3S7y9QQF92QWJfbtygRteSJc6IyNWrdIQGDbLWNjuStpREjYQE9f2Kwi+dUIxEeIl0MoNEtWra06m6d2dJk8QaWrZkmdjIkUCfPqy1O3yYw0oC5cIFZpdCnUyZ9KeaPf20OXao9aH4si7xgRIl2MjRuzc7hnPnBjp0ADZt4kQSLaKiGKmZMYMfrgYNGPHavTu077QyMtOmaacJxo9n5E3ipG7dwNbDGSGE3HzYAGyLjY0V3pCcLMQnnwhRurQQgBAlSwrx0UdCJCV59XRJCLFqlRA1a/LvDAjxwANCrFljtVWBER8vRGys83dybK1bC5GYaI4NW7akP3/abeZMc+yQSDIUnTvrf/AWLbLaQnuRmirEk0+qv1aNGnHdQmJjYwWAbcICn0lGMoNIZCQzC0ePAsnJlM55442QGTkq8ZLp04HHHwe2bnXu27yZShV//WWdXYGSJw9rTKdN41Sk3r2Zvp43z7zJcTVr8rVVo3x5oG1bc+yQSDIUnuqG5DQnVxSFoyf79XPWLkdHA88+y2L9ME6He0KOlfQROVZSkpZRozhOVguHooXEf65coYM7f76zPKxuXeCHH6gLLpFIDGbFCm29xsKFGTHJnNlcm0KFmzeBs2dZuO5pOpZJWDlWUsbUJBI/2bRJ38EEwni2tYnkzg3Mnctu90OH2KwsJ9dJJEHk8ceZvvjhB9f9UVGU35EOpjbZswNly1pthW2QTqZE4ifffef5Me5d7BL/KVmSm0QiCTKKwtFejRoBU6Zwbm6NGsDLL+s3gUkkbkgnUyLxk9OnPT+mXbvg2yGRSCSGExEBdOnCTRJ6xMcDZ85YfmdueeOPoiiZFEUZoCjKZEVRdiqKkqgoilAUpXcAx6yjKMpSRVHiFUVJUBRlt6IoLyuKEmmk7ZKMjSd1lqJFOYZQIpFIJDbj8GFO2enZkyMhz5+32iJjuHSJU0cKFqSWYqFCFNa3CDtEMrMDGHP3/+cAnAVQwt+DKYrSCsA8ALcBzAYQD6AFgNEAHgbQIRBjJRIHzz3H+d5pZ3s7qFQJWL2aNfISiUQSlly/zjpNrWlQduWHHyhknXZKz8iR7NJ85BHr7AqU5GROgkkrdZKQoC0GbwKWRzIB3ALwJICiQojCAL7390CKouQE8A2AFAD1hBDPCCFeA1ADwCYA7RVF6WSAzRIJypUDFi7kYJO0tGhBCSPpYEokkrDkt9+ABx8EcuZko0vz5sC+fVZb5R3//Ue5CvcxkNeuAR07qs+wDRV++cXVwbQBljuZQohEIcQyIcQZAw7XHkABALOEEP//SgshbgMYevfH5w04j0QCgDeNx48DixYBkycDe/YAixcDOXJYbZlEIpEEgV9/5VzkzZv5sxDOCKDWlCA7MX06I35qnDnD3y9UWb/eagvSYYd0uZE0uPvvcpW1tWDUtI6iKFmEECpJTonEd6KjOU1PIpFIwp4hQ4DU1PT7L1+mcPCkSebb5Atnzwa2bmdsKJJveSTTYBzqeQfdF4QQyQCOgo71PZ4OpCjKNrUNQCWAM6oXLQKWL7e03EEikUgkEnOIjwe2b9deX7HCPFv85d57A1u3Mx07Wm1BOsLNycx199+rGuuO/bkDOcmpUxSEbt2aWYPixYGZMwM5okQikYQBKSnAhAnUVMyXD3j4YeCnn6y2SmIUnmYimzVvNhA6d9YumK9Th7WmoUqVKuyYtxGGpMsVRTkGwJcBbzOEEF2NOHew0Bq/pCjKtnPnEJt2X3w80LUrUKIE8Oij5tgnkUgktkIINlRMmeLct3Ejt8OHmWa1IxcuUAoiMhJo0ADIk8dqi+xLzpx8jbRGmbVpY649/pAjBxuXOnQADhxw7q9bF5g9O/TnjI8YAdSuzbKFEyc4Hm37duBgugSvKRhVk3kElAzyFi9krP3CEanMpbHu2H/F6BMLAXz2mXQyJRJJBmXzZlcHMy3DhgG9etlLckEI4L33gA8+cHYUZ81KKZtXXrHWNjvz6ad0yK5fd91ftizw2mvW2OQr997Lbvj165marFyZ0fdwoVkzbg7iTB9Z/v8Y4mQKIRoacRwDOACgJoAKALalXVAUJQpAGQDJAP4Nxsl37gzGUSUZjc2bgW+/5U1o5crA888D5ctbbZVE4oFFi7TXkpOBZcuAp582zx5PfPstMHy4676EBGDgQKal2re3xCzbc//9wF9/AR9+CKxcyTnmbdsCb74J5M9vtXXeExEBPPaY1VaEPeHWXb4KQBcATQH86Lb2GIBsANYGq7O8UKFgHFWSkRgzxjWIsnw5MH48MHcu9TclEtuiJQvj7XqgXL9ODcTChb1zdj77TH9NOpnaVK4MTJ1qtRWhyfXrwNWrQJEiLNEIc0Ky8UdRlFyKolRSFKWI29JcABcBdFIUpWaax0cDeP/ujxODZVfPnsE6siQjcPgwgyjuJCYCPXoAt26Zb5OzNJ72AAAgAElEQVRE4jWNG2uvKQrw+OPBOe/t28CLL/Iu/9576WR26MBaSy2Sklzr8dzZs8d4OyUZm1On+L7Mk4eR8hIlgNGjWbYRxtjCyVQU5U1FUaYoijIFQOu7u5927FOZY94GwD8APky7UwhxDUAfAJEA/lAU5VtFUT4GsBPAQ6ATOjtQe6Oj0+/r0AHo0yfQI0syMjNnal9vLl+m3rFEYlsaNACaNFFf69cPKFMmOOft2ZPzXR1acikpDP03bkxnUo2oKHa/a1HEPX5hIleuAPv3p695lIQu168D9erxfemYNHTmDKMKI0ZYalqwsYWTCaa3e9zd7ru7r06afV4PExVCLARQFxRfbwfgRQBJAAYC6CRE4LcNlSsD33/PjvJnnuGX/+zZntUdJBI94uMDW5dILCUiAliwAHj9dSBvXu4rXhz4+GNg7NjgnHPfPl581di5k+O31FAUNiJpobcWLK5cAbp3BwoW5JdMoUJ0zmUKI/SZMoWpKjVGjWL6PEyxhVskhKjn4+OnAJiis74BnIceFBSF9et2qmHfvx+YNYvjV+vUAVq1Cg3JMomTmjX112vVMscOicUIEboyKlmz8kvzww/pHGXPHtzfZcMG/fV164B27dTXhg1jl92aNa77mzcHXn3VGPu8JTWV3cAbNzr3JSQAEycyzarXVBUsbt6kDM6iRaynbdQIeOGF0GrusQurV2uv3brF92GjRubZYyJ2iWRKAuD993nj++67LPHo0IEOy7lzVlsm8YX27YFy5dTXGjcGYmPV1zI6+/cz8FS2LFCtGhuGQy4wkJBAEeUiRRgRrFqV3c+hWq8VEQHExATfWY6J8X89e3Z2Ry9YAPTtSxmHZcvoVGXObKydnvj1V1cHMy2LFwM7dphrz9Wr1OMbOJBO+IYN/GDVrEnZC4A1r7t3MwIr0Uetxs6X9VBGCCE3HzYA22JjY4VdWLFCCH4Tpd9atbLaOomvHDsmxGOPOf+GiiJE+/ZCXLlitWX2ZOtWIWJi0r/3q1cX4upVq63zkpQUIRo3Vv8QDxtmtXX25soVIbJn174I7t5ttYXeMXiw9u8ACDFmjH3sadtWiA4dhIiI4M9ZsgjRt68QN2+aa2MoMXeu9utZtKgQiYlBPX1sbKwAsE1Y4DPJSGaI88032muLF7O2WBI6lCrFwMH+/cDvv1ORZc4cIJfWeIEMzssvAzdupN+/e3fwygANZ9kyTiBR48MPgfPnzbUnlMiVi2Ms1SKmgweHzhzq7NkDWzcarTpXgJHfOXOY4geAO3eYVn/qKXNsC0VatwZatky/PyqK798wrm2TTmaI48hcqCEEcDpYs5UkQaViRaBhQ6pcSNQ5f54DO7SYP988WwJi2TLttcREpnQl2nTvzlRzly6sKWnZEliyhJN7QoUOHbTXMmdmkb2Z6HW2C40SjkWL5EQSLSIj2Vk+fjxno5ctC3TsyDIEs/+2JmOLxh+J/1SqBGzapL6WOXPwVEMkEqu542Gkwm1fBt1aiae6xVBtAjKT2rW5hSoVKrDm0X0CEcBC+wIFzLWndm066r6yYYPv4xn//ZeR0EOHgJIlqQVYpYrv57Y7mTJRLaBfP6stMRUZyQxxXniBNfZqdOvmVBIJV1JTmVo+cMCZvZFkDIoX53ezFg11ht2mptqop6Z5c+21LFmCJ2IusRfDhlEPr0ULoHp1dsX/8Yf5TsnffwNbtvj33Bw5fHv84sXsWh01iqmHMWNY4jBlin/nl9gO6WQazOnTwLRpwIwZ+gMnjCIujtO93JsoW7UCvvgi+Oe3krlz2Y1duTIjupUqScHyjISiUFlBjbx51VVo1q+nz5YpE8vcunQBjh4Nrp0eadRI29EcNkxKxmQknnySjteuXbzA1a1r7vmTkujknj2bfi0iAnjvPe3nZs3q2+zb69cZCUlMdN2fmspuf1nrFRZIJ9MghACGDGHjRvfuFGovXhz46KPgn7tLF0qpzZjBGuKdO4GFC82vFTeTZctY0pLWQTh0iM712rXW2SUxlw4d+F2cNrvWpAnfA6VLuz529WoOpVm5kt9jCQmcslSnDj8/lhERwV9ixAganTkzawunT2fzikRiFkuXAseOqa+lpgLFilErzx1FYb1hnjzen2vRIgo7q5GUBPz4o/fHktgWWZNpEBMnshE0LYmJ/I4oVQro3Dm458+ZM2M1940YoZ7uTElhvf9jj5lvk8Qa2rUD2rYFLl5kdjlnTvXHvfGG+pTBs2eBTz5hps4ysmShTubQoRYaIcnwaE2lSbv+wQdsXpk0CTh+nF2K/fv7XhPrKdVnRipQEnSkk2kQo0drr40ZE3wn0xcuXwYuXWLncpYsVlvjOykp2s1OgOchIJLwQ1H0eyMuXdIvM1u61GInUyKxA546RR3pgSZNtOfUe4un6RJy+kRYINPlBpCUpH8DuHeveba4Ex/PxpibN1ni0rYtS7zKl+dwkeHD6bSFEhER+qUAvtaeS8If2cAtkXhB8+ZMiauROzfwv/8Zd67HHtOOflaoQG1JScgjnUwDiIrSr80vWtQ8WxycP8+axYIF2RhTuDBH7i1Y4OzCvnyZ5TWDBplvXyAoiv61rlMn82zxlZQU4KuvOIe8WDH2fCxdarVV4U/evMBDD2mv+9KvIJGELZkzs/GocGHX/XnysNDfyKkQisK6zMaNXffXqcMxm2aP9pQEBUXYRscjNFAUZVtsbGzstm3bXPYPHqzd5PPxx8Brr5lg3F0SE4EHHmCDojdkysTSGvfrip05exZ4+GFKrKWlShU2feTLZ41degjBprDp09Ovffkl5agkwWPDBsoauetrligBbN4cWu9/iSSo3LoFzJvHbspSpRixCGaK6MAB57lCZUpTCBEXF4ft27dvF0LEmX1u6WT6iJaTmZDAzuYVK1wf37YtMGuWuVOjZs3yvQZ0/nygTZvg2BMs4uPZcLVsGW+KW7QAnntOu/HDatau1VYkyZqVHc6+NGdKfGfrVjaNrVwJREfz8zlsmHaGUCKRSEIdK51M2fhjEFmzAsuXM8q/bBmnSLVsCdSrZ36917p1vj8nFOWO8uYF3nqLWyiwYIH2WkICx1f7WvJ08CDw3XccL1qhAtC7N6WzQonERNYL580b/BuEmjWZoZNIJBJJ8JFOpoFERABPPMHNSnx1GAsUMF/zNyOiJp+TFndNYk9MnQr06uXauPXJJ3Rm3cuc7EhKCsXUx45lVDoqCmjfnkMECha02jqJRCKRBIps/AlDOnb0/rGRkWxEsbOUkRDAX39R63fmTODGDast8g+9MYcREYx6e8upU4xauisD3LrFUolbt/wy0VQGDqS6QXw8f05OZqlHw4YhNHdcIpFIJJpIJzMMqVkTeOUV/cdERNAZ2bSJdWl25fJljgGsXZt6v126MB2sl3q2Ky1asHFSjf792YDiLTNnakdG4+OBn3/23T4zOX2aNw1q/P038NNP5tojkUgkHrl1C/jzT47Vc8i0SHSRTmaY8tln6eeZpyU1lQMbatUyzyZ/6N0bWLXKdd/Vq6xdPHDAGpv8JSqK9brPP+8saShShKoEemL+apw/r79+7px/NprFxo36+qx//GGaKZKMiBCUGxg7NrTTIxJzEAL4/HNGOB56CLj/fqBSJeD337n+zz+sVfroI2DHDmtttRmyJjNMURRO/lq5Un29XDn7N/scP64dsUxKYprfV+fManLm5Hz5L77g2N48eRhV9pX77tNfr1HDP/vMImvWwNYlEr+5eJHpm7Qdkrlysci5ZUvr7FLj6lVg2jTq0RUqRA20ChWstirjMXEi8OqrrvsOHQKaNeNc27Rz1gcPZsptyhRGFjI4MpIZxuhpc77+uv2nnBw6pD6f3EGoRTLTkikTtTz9cTABNsg4Jry58+CDwCOP+G2aKdSvry/X1L69ebZIMhg9e6aX4Lh6FejQwfPsbjPZtYtzwV98Efj2W2DkSE7WmDjRassyFikpwIcfqq8lJro6mA5mzNAWzs5gSCczjGnShPI2uXM792XLxmtV797W2eUtnmoUfalhDDeioyl55B6xrF+fgznsfgORLRsF6NWc7B49fGuCkki85sgR4Jdf1NcSE4FvvjHXHi1SUzm6zL3uJTWVUxv27bPGrozI6dPAyZO+P2/CBP0oSQZBxnLDnF69eK1at47duw8/7Op02pkKFSittGaN+nqfPubaYzfKlwe2b6fA+PHjfL1CaVjGU08xGjt6NLB7Nyfu9OoFdOum7ST/8gtriU+ccAZ5tJqpJJJ0HDqkv26X9MjGjcD+/eprQjAV+/HHppqUYcmRgxckXx3GM2c4Xiw6Ojh2OTh6lJGFO3eABg047s9GSCczA5AtG6OaocjUqdR8THvtj4gAxoxhF31GR1HYvGX3Bi4t6tTx3kl8+23qajrYsQOYPZuZxF69gmOfJMzwlP4oWdIcOzxx5oz++unT5tghYVSmeXNgyRLfnle0aPC1Ad99l1taB7h1a6bwg+3ceolMl0tsTcmSjHLNmsW665EjWTb14otWWxZ6XL5MR61aNUY9+/XjTXAosG+fq4PpQAjKP12+bL5NYceZM/xymjuXNYrhSNWqTOeooSj2qSOqWlV/vVo1c+yQkC++UB+lVrmy9nP69Qtu3dL8+RQado+wLlxorzF4Qgi5+bAB2BYbGyskklDi0iUhKlUSglck55Y3rxB791ptnWeGDUtve9pt6lSrLQxhUlKEGDRIiKgo5wuaPbsQ48dbbVlwOHpUiAoVXN9AUVFCfP211Za50rSp+ps9Vy4hzp2z2rqMx8WLQowcKcTjjwvRooUQP/wgxJ07QgwYkP5v1K2bEElJwbWnQQPtC2LOnELcvv3/D42NjRUAtgkLfCaZLpdIMgCffKJe4hUfDwwaBCxdar5NvuBJxlDKHAbA6NHAp5+67rt5kw0mpUsDTz5piVlBo3RppkcWLAC2bQPy52eBsN06CWfMYEH9ihXOfSVKMK0j566aT758wJAh3NIyZgzFj5csYSd6kybmaMj9+6/22rVrwKVLTNlbjCKE7H7yBUVRtsXGxsZu27bNalMkEq+pUEG750FRgOvX7a2bunAh0KaN9vru3aHV9GQbUlNZk3LqlPp6w4ZOwWmJNeza5dTJbNhQai9KSIMGwOrV6ms5cgAXLvx/TWhcXBy2b9++XQgRZ6KFAGRNpkSSIdCbBS4E1Vt8JT6ezp0Z9ZDNm2s3erVtKx1Mv7l6VdvBBDjjU2It991HEfYmTaSDKXHywgvaa717B7/pyEukkymRZAAaNNBeq1FDXxjdnatX+Z1XqBC//woVorbltWuB26lFVBSwfDmzh5GR3Jc1K6+z06cH77xhT0yMfgi7SBHzbJFIJN7Tti07Od2bi1q0YIesTZBOpiSs2L8feOklOlVPPSUzfQ7efJMZFHcURb1rWwshgFatOOkuOZn7kpIoNdW6dXC1h/PlY/PzuXMMsJ09S0F3OYIyADJl4h2CFs88Y54tEonEexQFeO891kF9+ikv5Js2AYsW2eqiKGsyfUTWZNqXpUt5c3fnjuv+t97yzZEKV7ZvBwYOdIrbV6sGfPABb3y95Y8/OFVIizVrgMceC8hMidlcuwY0bcovqLT8738ME8sUrURiHzZvBr7/npJj1aoBzz7rUd/VyppMefWQhAV37nAksbuDCTBz0LYtEBtrulm2IjaWTmJ8PKOPBQv6LuO2fr3++oYN0skMOXLmBNauZQRkxQogc2aGpevXt/98UokkI/Hxx8Abbzh/XryYGp5Llujf/VuIdDIltuXmTQ62KFSI34N6/P47m+m0mDlTOpkO8ub1/7lqKfe0xMT4f2yJhURFAe3acZNIJPbj779dHUwHN28CXbsCx46x/MVmyJpMie24fRsYMICRtgoVKGPXsydw5Yr2czwNKNF7rsR72rVzNt64ExXFiLFEEpI4pKwlEjsybZr22unTwMqV5tniA9LJlNiOrl2BsWOBW7f4c1IS8MMPQLNmlPVT44EH9I9Zu7axNoYKCQmc7d2pE9CtG/WnU1L8P17x4hR2V+PTT4Fixfw/tkRiCceO8cMRE8NSgaZNgT//tNoqicSVixcDW7cI6WRKbMXu3cC8eeprGzcCv/6qvlauHPsU1ChdGujc2RDzQoqLF4EHHwT69AFmz2YPR9u27A73RxfTwSuvAKtWAR07UruyY0dqAg8YYJztEh2Sk+kErV3LVJnEf06eBB56iB+OW7f42v76K1C3LrBundXWSSRO4jz07HhatwjpZEpsxdq1+uuOzmg1Jk+mBm3aspR69egQ2XmaTbB47TVgz570+3/5BRg/PrBj169Px3XLFv5br15gx5N4yeLFQJkydIzq1uXYuE8/lWlefxk1ilpY7iQmUvdLIrELXbtqp4patQIqVzbXHi+RTqbEVmTLpr+u5yxmzQp88w3LUzZsAI4cYYStTBljbQwF7tyhpqQWU6aYZorEKP78k6Hokyed+65d493EpEnW2RXKLF2qvbZxoyzmltiHnDnZ4Zo2YqkoTCXp1WtajHQyJbaiZUv9aVjt23s+Rv78QJ06wD33GGdXqHHjhrqckwO9TvyMzPr1DAoUKwZUr84god7raCqffKJdUPvRRzKa6Q9Soim0uHYN2Lcv4zr/lSoxfbRzJ7BsGeuJZ8/2LPthIdLJlFiCENRs/PJL1mA6Zmvnzw98/rn6c4YMsW1GwHbkzQuUKqW9LuWc0jNvHjPQixczGr5nD4OELVs6pxtZypYt2mvHjtm28N8ShGBtzdChwPDhwI4d6o9r1kz7GI88AuTOHRTzJD5y8yZFxwsWBKpW5b/du2dMZ1NROM+3aVOPIuy2QAghNx82ANtiY2OFxH9OnhQiLs6hF8KtYEEh/vjD+ZhVq4Ro00aIqlWFeOIJIRYuFCI11TqbQ5Evv3R9jR2bogixerWx57p+XYh//hHi8mVjj2sWiYlCFCmi/noBQvz4o9UWCiHuu0/bwEyZhLh1y2oL7cGtW0I0a5b+NXruOSFSUlwfe+qUEMWKpX9slixCbNhgjf2S9Kj9PQEhHn44/d9Uko7Y2FgBYJuwwGeSkUyJqQgBdOgAuE/lPH+e4w3Pn+fP9esD8+dTf3bpUqYwZWbLN/r1A0aMcK1zzZ+fjbRGNeokJAAvvsjAQuXKQIECrE+/fNmY45vFX39xSpsWCxaYZ4smXbtqr7VrZ6t5xZYyfDi729z56ivgu+9c9xUtytrLp58GcuXia9i8OTvL69Tx34Y7d4DPPmPEqVgxhsM9dTVK1NmyRf3vCbD4/vffzbVH4hPSyZSYytat6UckO7h+XTakGImiMFt46hQd9d9/Z8/IU08Zd45u3VjykJDAn5OTgRkzgCeeCEyP02w8SToFIvmkxd699Idef53foR5frxdfBBo1Sr+/XDk6NBK+iN98o73+9dfp95UsyVnQV65QxmjJEqBWrcBsaNMGGDSImmynT/OY9eqxfk7iG55m2UqpKVsjx0pKTOXAgcDWJb6TOzedPqPR0zT96y9g+XL9kjc7UasWa+evX1dff/xx484lBOuLP/rIue+TT6hKtHSpThlglix8wOzZDPMnJgINGwK9enmeu5pRuHlTP4z+33/Bt2HBAjZluCME8NJLdEAzZw6+HeGCJ/25jKhPF0LISKbEVEqUCGxdYh88BRBCKTuYIwejvmpUrAj06GHcuRYudHUwHWzaBLz8socnR0UBXbrQu1+yhE+QDqaTmBigcGHt9QoVgm/D/Pnaa+fPMz0v8Z5WrbRncisK66/M5MwZ4J13mFVo355/b61RdBLpZErM5dFHqcKgRqZMnFEuCQ3CLcDw2mvAxImcEAUw2NS1K1UQYmKMO49axtbBjz9SpcUQhKC25ocfAqNHA0ePGnRgGxMRAfTvr73+0kvBtyEpSX89GLUX4UyhQnz/qvHee0DZsubZsmsXcO+9LHb//Xfe7LVrx7oh6WiqIp1MialERABz56YfXJA5M/VkHV/wEvvTogUQHa29bnaAIVAUBXjuOeDff6kGdPUq35N6gTF/OHFCey0x0dn8FhAJCYwAPfQQc/MDB/LL+L33DDi4zXnjDZYQpCUykgWwHTsG//x6tRXZswO1axt7vitXqPvWvj0bmH79Nfw0U194gXd77dsDNWrwvb1smXb6IVj06QNcupR+/8yZ/GIzi927gZEj+Xn+8097/72taGkP5Q1SwsgQbt4UYvJkIQYOFOKTT4Q4fdpqi0KLS5eE2LRJiH//tdaOr75SVxYZOtRau+xMmzbqrxkgREwMPxsBM2CA9kkWLPD+OL/+SvmYMmWEePRRIaZODR0tsX/+EWLcOL5JT5ww77w3bwpRpYr6az9ypLHnOnRIiOLF05+nV6/0f6dr14SYNEmI/v2FGDFCiKNHjbXFKJKShDh2TIj4eKstceXgQe3PFCBEy5bBtyElhVJc7udu316IO3c0n2alhJHlTluobdLJlFhJQgKvMZkzO68v9etb62yuWSNEhw5CVK8uRPPmQixebJ0tocCqVdrfUy+/bMAJEhLorWqdpFEj744zfrz6859/3gAjw5xz54To3p16m4AQpUoJMWGC8Q56/fraf+c5c5yP27MnvRBsVJQQ339vrD2BkJoqxOjRQhQuLP5f0LdlS/s4w5s3a7/WAG/Cgs3EidrnHzZM82nSyQyhTTqZEivp2lX9+lKmjBA3blhtncRbJkxw+h+OrWNHIW7fNuDgx4/rfxmWLev5GJcuCREdrX2MzZsNMDQDcPu2EBcvBif66+nv3Lw5H5eSIkSlSuqPiYwU4sAB423zh5Ej1W0sWdIeUc3r1/Vv3gYNCr4N1atrn79QIdf32Y0bfN1SU6UYu0Qi8cy//1KDUo2jR7XXJPbj+eepXzp5MjB+PEdYzp5NlaKAKVBAv1Ppnns8H2PZMuesVzW0tKskrmTJAuTLF5xJEp7GiF64wH83bgT271d/TEqKPcSJr19Xl1wAgOPHgW+/NdceNWJigAED1Ndy5tRvOFNj715eCB55hAXsy5bRXdTj2DHttXPnOATgn3+oHZcjB+cL16jBAnOLkE6mRBIibN6sfw3SErmX2JN8+aim0K8fUK2agQeOjk7f+JKW55/3fAw9B9ObdUnwKV9e/2YiLo7/njypf5xTp4yzyV927NAWqQXY9OPgzz/ZAFSmDAVux43z3NFvFO++y0a6tGPUqlUDVqwASpXy/jiLFwP3388pVBs2sGnoySeBwYP1n1e+vPZasWLA2bN0WpcudX5Z7N4NHDnivW0GY7mTqShKJkVRBiiKMllRlJ2KoiQqiiIURentx7FK332u1jYrGL+DRBIIO3Zw1OPKlfpTX3Ll0j+Opoi3JOPx0UfplfAVBRg2jGLgnqhbV3+9QQP/bZMYQ0wMu67ViI7mhCgAqFJF/ziVKxtrlz94GonqWF+wgE7UvHmM6m3dSlmqtm3NGTEWGcmu7tOnKRS8eze3Bx7w/hi3bwPPPKPuGI8axd9JC62/N8BI6qefAvHx3ttiAnaY+JMdwJi7/z8H4CyAQCW5dwFYqLL/7wCPK5EYxvnzVFRZs8a57557gJ9+cgYh0tKgASXjzp1TP97OnbzG9OrFLIkkA5M1K8Xa//wTWL2aTkebNoz+eEO5cvwidJ/1DVAWKVRGOYU7779Pp2XCBKfTUqoU/24OQeLq1TnSMm000EHOnJQ9sprYWOrXaaWDO3Tg7/fCC+rO5M8/c8pBu3bBtNJJrlx0dv1h5Ur9UoeZM4GaNdXXevZk6cMnn7imtXr1otCvoSkRg7CiEDTtBiAzgCcAFLn783AAAkBvP45V+u5zpwTRXtn4IzGEunXV67fz5xfi8mX15yxdmr5hxH0rWtQ+tfySECYpSYi33xYib16+saKjhejdW4grV6y2TOLOuXO8OKxbJ0Rysvr6ww+7XigKFxZi7VrzbdVi+XJX2QzH1qwZf6c1a/QvfJ07W/0bOElJ0W72mjFD//d45hnPxz9yRIixY9mNv3evc79GY1As/aKM2fgjhEgUQiwTQpyx2haJxCy2bXONYKbl4kWKgKvxxBOMWPbvr53lOn0a6NvXGDsl+vz7L7Nnr77KaT137lhtkYFERVHs+exZdiaNGMGpCRMn2qOOT+KkYEFeHB55hCldtfV16xjZnjSJNYH//ccRbHahSRPgr784ZqtiRUbMx49nijwy0vOHy8g64YMHGckvU4YR4SFDvEtDr1sHNGzI8XXZsvF3cY/OPvig/jEeesjzee65h+UQL7/sWg7hTSmM2Vjh2eptMCaS+RuAZwEMuftvdQPtk5FMScBMmaJ/M9unj+djtGypf4xjx4L/e2RkvvhCiIgI19e8fPkwfN03bhQiTx7XXzRLFiHmzbPaMklG4soVIbJl077gjRtnzHl27BAiZ870x69USV9K6fffqT3q/rwiRYQ4edL1sV26qP8OZcsGNo3h8mXVQQCxEREZN5IZJBoB+ArAyLv/7lIUZbWiKCW9PYCiKNvUNgAak7clEu8pUiSwdcCzgomn9XBFCODwYWDfPiA5OTjn2LKFaibu44oPHQK6dw/OOS3hzh3WuV2+nH5/ly7aBcISidHkygW8+ab6WvnyrFc0gkGDgGvX0u/fvx/47DPt573xhvoF58wZFsun5dtvqfKQVrOsUSPWa6btXPeV3LmB9esZea1QAShRghekSta5LeHmZN4CMAJAHIA8d7e6AFYDqAdgpaIo2S2zTiK5S4MG2ooXkZHeOSpqzUEOsmfnNSaj8ccf7HMoXx6oWpXZrqlTjT+Pnmzf2rXAgQPGn9MSli3jl6Qat29LcVaJuQwdCnzxBeV6AJZ0dOrE2iM9OSdvuXqVjp4W8+er779wgTVQWixb5vpzdDSbtc6coTbd8ePAb7/5JoOkRZ48rOE5cIDH/eEHns8iDHEyFUU55kE6yH2bbsR53RFCnBdCvA8S9+oAACAASURBVCOE2C6EuHJ3WwugMYC/AJQD4JU0khAiTm0DoKFqK5F4T1QUu8jdu8AjI1kyVbas52P076+t/PHCC9TizUjs2AE0bQr8nUZD4uRJoEcPCp0biSfpQU/rIUMoaCwGws6dlHgoUIBRn1decYqYS+yHolCy6L//+N67coXF0N6kfrzBk95mYqL6/ggPrpSWGH+ePNT6LBGooI59MSqSeQTAAR+20wad1yuEEMkAHLGHx8w8tyQ0uH4d+PBDKkdUq8aa6qNHg3vOBx5gffnnn1OBYuhQZmT0dLTTUqEC8MsvVP5wkDkzr8EjRwbFZFvz0UfavQHvvut5mIYvVKyovaYo+prJIYUnjUVP63Zm40agTh1gzhzWlpw8CYwZAzz8MHDpktXWSfSIjASKFmXKxkjy5QPuvVd7vWFD7efVrq39vBYtArMrhFGEkVdeA1AUZTiAYQD6CCEMmyWlKEorUDvzVyFE0wCOsy02NjZ2m15oXBJSXL9O7ekdO1z358nD1KcdpcfSkpLCpsxr15hCL1DAaousoXhx/cBafDz/pkZw8CC/i9QCG23bhtHUxdRUahju2pV+rVAhFr8akaa0goceYre1GkOHsptekvFYsgRo1Sr9XWmuXBRKL1dO/Xnr1wOPP57+TrdkSabECxUKjr1eEBcXh+3bt2+/m401lXCrydTDcZvxr6VWSGzHmDHpHUyAvQ6vvGK+Pb4SGcmATNOmGdfBBPR9nchIY8uSKlRguYP7FKaGDdX1y0OWiAjK3cTGuu4vUwZYvjx0Hczz57UdTIDC3pKMSYsWwKJFLO520KgR5Ym0HEyA8lHr1/P52bMzutm3L+f9WuhgWo0dJv74jKIouQAUAXBVpNHXVBQlFsBOIUSq2+MbAnC4C0GpB5WELnPnaq/9/judTaMiYJLg0akT0+JqtGrleXKdr7RqxQzrL78wSlqzJjet8quQpWRJRnDWr2czQYkSjNio6TGGCp5GEJoxolBiX1q0AJo35wc7c2bvC9xr1uRNmeT/sYWTqSjKm3BKA9W4++/TiqI45jatd0udtwEwGcAPAHqm2f85gPKKomwE4KhYrw7AMWj3bSHERoPNl4Q4CQn660Zq/EqCx6uvcrqceyVL0aLpFUSMIiYG+N//gnNsW6EoFO62k3h3IBQuzDqYvzUmDTdubK49EvuhKIxGSgLCFk4mgKag1FBa6tzdHHhTnzkNdEBrgaMqM4Hz0H8C8KUQYl3gpkq8YcUK4JtvGOmpUoWd0DVqeH6eFdStS31DNSpU4PeRxP7kyEElk0mTmO1MTGTArX//DJ2tkqihKOwUa9kyvdhpoULUSpRIJAFju8YfuyMbfzwzfHj6tGVkJJUmOnSwxCRdDh5kluP69fRrs2YFHqm6epWT0c6dA+67j+U9oZxplEjCht9+A4YNY31mVBTQujWdT280xCSSEMHKxh+7RDIlYcLff6vXxaWkAL17c7yu3XoFKlQAVq/mGNj167mvXDmObQ7Uwfz5Z+Cpp1wd2OrVWcdXvHhgx5ZIJAHSuDG3hAQ6mZkyWW2RRBJWZKTucsM4coQp1ldfDb6WYqjx44/aa9eupR98YBfi4tg8eO4cdX4PHAA6dw7smMePA+3bp4+Q7t7NJhWJRGITsmaVDqZEEgSkk+kHV69SP/HzzxmV2ihbif4ftZGvabl61Rw7/KVgQTbTehrg4A3ffactDr5hA4eNSCQSSViSksLRiXFxHAPZpAnw66/m2iAESyI6dwbq1QMGDAijma+hgXQyA+TGDU5okaWtpE4d/fWYGM6X9uSMhgNazUQODh82xw6JRCIxFSGArl0533b7duD0aTp7TZuyM88sBg+mcztrFrsCx45lYfzy5ebZkMGRTqYBHDjAz5GE0060Js1ly8Ybyvr1KSvz3nvh7ZyXKaO/nnYcpCR8OHUK2LKFEnsSSYZk1So6dmq8+qp6l6XRbN4MjBqVfv+dO8DTT2vPIZcYinQyDcLuaWCzyJKF8kXNmjn3ZcrE9POtW859N2+yqXP0aPXjXLhAkfRFi8y5HgWDZ57RLvOqVYtZJEn4cPo03/fFi3MufZEiQJ8+ru97iSRDoDcx6cYNTrkINjNmaK+dPctuT0nQkU6mAURH21cD0gqKFmVX9cmTjOi0bp1eis7Bxx8DycnOn4UA3n6bX9QdOvC5RYsCX39tju1Gcs89vM65T5qpUAGYPTsMJ8NkYO7coTTV0qXOfYmJwLffAt27W2eXRGIJnqKEZkQRPUV+rlzx7jipqYyKaKXdUlP5ZSdTF6pIJ9MAXngByJvXaivsR7Fi1J/cs0f7MefO8fPpYPx44P33Xa9BN24Azz3n+gUeKnTowC7zL7+k8zx3LmWePKXSJaHF/PnAvn3qa/PmAXv3mmuPRGIpDRtqr0VFAY89FnwbatfWXlMUphv0uHEDGDiQX+4xMYwajB3r6mxOm0a9uxIlOB2oUSPtC0EGRepkBkD27Jwm8v77Vltib/QccEUBcuXi/4XQH//32WfAk08aa5sZ5M/PGxFJ+OJJYWLTJqBqVXNskUgM5+JFYOpU5+z67t0pw6FFmzZ04jZvTr82YABrSYJN1/9r797jbCr3P4B/vuaGweQWkWNyclCSJiW3hF9F/U4qObw6bsUvdQjlVzhHoVPSoRxHl6nTiZQIcfolXU4cJCeddNGFjoTcojIYDMPM9/fHd43Zs2etfZtnr7X2nu/79dqvMevZe61nPdbs/exnPc/3O0AC6+/cWb7st78N/U2/qEhyl69ZU7ptxw6p+969st85c2TVb6D33pMO9KefSjspHcmMxYUXAhs2lF5rqdpVD2ngQOeyX/8aqF1b/p2fb/9+UGLTJrP1UsqUWrVCl5d8kVIq4axbJ6N1Y8fKyvAHHgCaNwcWL3Z+TVqahCu6447S+UKNGgHTp8scKTfUqCELkLoGZKxOTweGD5ecx6EsX162gxno8cfl9tukSfblP/8MzJoVW52TkHYyY5CRIV/Swn2wKDF0qKQIDta0qdx9KFG9euhsQJpDXPlVqMD9WVmS6UqphHPypMz5CZ7fWFgoowf79jm/9qyzZDL9oUOyknPXLskJbyIIcaSaNZOYedu2ye2GvXuB3FxZSBHKu+86l50+DSxaJOfjRBcVnaGdTBV3aWkyZ23RIuA3v5G7EDNmSDDypk1Ln5eaGnqRRPCdCaX8onVr+4GNlBQZNPFbKlWlIvLmm7IS287Jk6FXcJdIT5c5Q252LoM1awZ06CDzJiORkhK6PCMjdHlJJ3bXLuCRR4C77gJmzwby8iI7fhLRG73KFSkp8oW4b9/Qz5s6Fdi4UaYjBLrxRpn/qpRfTZ4MdOokK8r37JF4sSNGSOxnpRJSqJFKQEYGk1Hv3tIptFOtGnDrrTJH1W7OKSD5hF99VUZNAlexTpkiK1jDLTpKItrJVL6SlSU5xJculXibqanSwbzmGm+/CCsViauvlodSSSHcarVkXc3Wvbt0FJcsKV82daosJJg9W1bRHz1atrx9e7ld17p1+VBNP/8s+922zTmIcpLRj23lO2lpQL9+MiKUmyuZyLSDqZRyBTOwdi0wbhwwfrx8603m1GShdO0K5OTYl51zDtC/v7v1cQsRsGAB8MQT0pGuXRvo0kVGP8aMkedcfjnw8cfAsGES/PiSS2Ql8MqVErfMKRborl2h53zGqrhYYuVdcIHcrm/VSjrCTkGqXaIjmUqppPfpp/K+npYmEQ2aN/e6RsqXCgtlFdfSpaXbHntMRp9eeaXSjD6dQSRp1/r0KXtruHlz6UhlZnpXt3hLTQXuuUceTlq0sF+pvmdP6H2HK4/FyJHAM8+U/r5lCzBqlOdBerWTqZRKWqdOAYMHy6BEibFjgfvuk76DZl1SZUyfXraDWWLJEhnRmzDB/Tp57dxzgQ8/lInyJXEyr7pKby+FcsEFFSuP1tdfl+1gBnr2WfPHi4JeJUqppPXII2U7mCWmT5dkHUqV8dxzzmXhYismMyLJoDN4sMxX1A5maLfeCtSvb1922WWyQtCkcOnwwqXYjCO9UpRSSam42PnLPSApTJU6gzl07MNQZUoFysoC3n4byM4uu/3yy4Fly8zfQgk3Z9jDOcV6u1zF5IcfZIrS7t0yEt+/v8YCVP5y7Bhw4IBz+bZt7tVFJQAioGVLYPNm+/KWLd2tj0psOTnA1q2yEGj3blmI06FDfObo9OwJ3H+/c3lWlmfhprSTqaK2dKmkfj1xonTbxInyxa1tW+/qpVSgzEy5Y/Xjj/blzZq5Wx+VAEaPBu68075s1Ch366ISX2oqcO218T/ORRdJtpIXXihfNmSIpzmZ9Xa5isrevTLdJLCDCQD798sCxKIib+qlVLAqVZz7CwDwu9+5VxeVIO64Q0IXBc45TEmRBT/DhnlXL6XCee45mWx+3nnye3a25Il//nlPq6WdTBWVefMkm5id774D3nvP3fooFcrEiZLKNNi998oaBqXKIJJYhzt2yEKf55+Xf0+dqqEIlL+lpEhu+O++k9GehQtlBLNjR9nmEb1drqISbu67zo1Xphw+LDGxiYArrwRq1Yp+H+npkt3tvvtKM0jdcIOEt1Me+vZbGWVZtUryQPfpIz3/s87yumaiSRMduVSJa948uX3ugyQC2slUUQn34awf3sqExx8HHnwQOH5cfq9RQ8IRxTotrl07eSgf+PxzySQTGFbl669lsve6df7paCqViPLyZC6QDzqYgN4uV1EaMEAybNnJyQE6d3a3Pir5zJ8vd31KOpiApAcePRpYvNi7eilD7r3XPm7fV18BM2e6Xx+lkskbbwAFBV7X4gztZKqo1KkDvPmmpK0NdPHF8Qn/pSqf6dOdy2bMcK8eKg7y8uQWuZPXXnOvLkolo/x8r2tQht4uV1Hr0AHYvl2SDOzZI3EyNctY5XDqlKQwLiyU2881a5rdP7PcTXXy2Wdmj6dcVlgYujw4bIVSKjodO3pdgzK0W6BikpEB3HQTMHKkZhmrLJYtk6gYnTvL/3njxpL/2+TUHyLnbGwA0KCBuWMpD5x9dug8yt27u1cXpZLRJZf4at6adg2UShI//CBrJ95+2/yA0Pr1QN++ZZNG5OcD48cDublmj3Xbbc5lQ4aYPZZyGRHw8MP2ZVlZobOWeMWNBRRffCFhED74wDcLNpRBBQWSYizet7KZZeRn3br4HicK2slUKsEVFcmimCZNJBJMr17y7yVLzB1jxgznQPvTpkmecFMeeADo0qX89m7dpFP7xRdyzEcfDX1rXfnUTTfJsPiFF5Zu69FD4lWdf7539Qp0+rSEWDrvPIk/+KtfAX/5i9kLHZC8pz16AG3aSG7ezp0le8tXX5k9jik7d8oXgW7dgJtvljm0ptskmRQWSvy0Bg3k2q5XT74p5+XF53ivvgo89VR89h0rZtZHFA8AG3Nyclgpv5g0iVm+wpZ9pKQwf/SRmWM0aWJ/jJLH/v1mjlOisJB50SLmwYOZhwxhfu015hMnmIcNK3/sIUOYT582e3zlguJi5h9+YM7L87om5Q0YYH+hjxhh7hjFxcydOtkfp3Fj5vx8c8cyYcMG5lq1ytd10CA5F1We03XUvn183rT+679sj5cDMICN7EGfSUcylUpgJ0/KAIudoiJzEWHq1nUuS0szvwAoLU1uz8+dC8yZI4Mmubn2GdLmztXINwmJSEZ4/BYX89//Bl5+2b7sqaeA//zHzHE2bJDb43b27JFRKb9gluDeR46UL5s3D/i//3O/Tn63ZYvzdbRhg4RpMW3fPvP7rCDtZCqVwHbtCn3nxdTt5IEDnctuuQWoVs3McUJ5+unYypSKyltvVaw8Ups2hS7301yQTZtC38J/5RX36pIo1q4NXb5mjfljBk5B8QntZFYixcXyJXzrVp1bnizq1g29st/UauwRI4Brry2/vXlzyc7jhu3bQ5fpNW3j668leXtmpqRN6tcP2LzZ61r5W7hgv6aCAYf74/RTKAW74PmBDh1ypx6JJNw373h8Mx892nfBqrWTWUksWyZz11u0kJ+tWkmcS5XYateWdRROQq3UjkZGBrB8ObBwodzG7t1bbtNv3Fg+MH9REfDss8AVV8i6id69w3+pj0SzZs5lv/yl795bvffVVxLUdvFiSZ907BiwaJHE0duyxeva+df114cuv+46M8fp2dO5I5maKunV/KJNm9CdoiuucK8uieL664GqVZ3L+/Y1f8yOHWX6Qq1apduIQs93ijcvJoIm8gMJuPDnnXeYicrPB05JYV6zxuvaqYrau5e5RYvy/79DhjAXFblbl+Ji5v79y9eFiPmllyq279mzbee0M8B8++3MmzaZOYek0aePc4P16+d17fxt8GD7dhs1yuxxVq9mrlGj7DGqVGF+4QWzxzHh/vvt26RuXXkTUuXl5tq32b33xve4+fmyWnLePObt2zknJ8ezhT/ErPeYokFEG3NycnI2btzodVUi1qWLc9isa64B3nnH3foo844fBxYskGk+1avLl+Tu3cOP7hUXAy++CPztbzJnvHVr4J57JINTLN591/62OiDrO/bskfrForgYuPvu0PMvO3eW6WFNmsR2jIRw8KDMe2nQQIaK7TBLQzsFTM3MlITwlUlBgcwVql07/AVSVATMmiWrzXbskPAzI0cCd95pPvPEvn2yum3zZuDccyXETYsWZo9hQlERMHEiMHu2jIoDwGWXAX/9q+QVVvb++U+57bNli/z/3nGHTGR38dbLpZdeik8++eQTZr7UtYNatJMZpUTrZBYXy50Xp//matWkg6IqH7YWjM6dW75szpzYAp8PHw4895xz+fLl4e9GliguluDyCxbIotaOHeUz/tAh2c/MmfaLKVu3lvSTKSnR19/XTpyQbwAvvFCanrFrV/k9eC4Bs/xxnzxpv6/q1Us7CsmuuFgCwD/xROncwiuvlDkdLVt6W7dElJ8vUzHq1JG5V8r3vOxk6pzMJEckgxZOTIeeUYlj7Vr7DiYAjBoV20CXU5+mRKSZiIqLgd/+VkZkly4F3nsPeOghmRp26pQsonSK1vHll0k633j4cBlZC8z/vWaNDFkHZxIhCt2b/+//jk8d/eiBB4BJk8ouXlm7Vobrf/zRs2olrJo1ZQ6mdjBVBLSTmeSIZEGpk1BlKrm99ppzWX4+8I9/RL/PUKmn09IiT6m7aJEsMgr200/S1/r009CvD1eecHbsAF56yb5s5077eHxTpth/i8zKAiZPrlh9mOW4gXlG/ejwYeDPf7Yv278/9LB7ZXPsmMydmThR2iXcivJEcfq0/H3ceKMstpo2TaacKFdoJ7MS+OMf7VfmtmwJPPig+/VR/hBuVDGW/Of9+sloo50xYyKPyuIUwxgAPvww/OvPPjuy4ySMjz4KHaPJrlFat5ak8336SHiAqlVlLtj69RJeIlZ//7u8PjsbaNxY5uX5KFdyGZ9/Hno+kF/r7baNGyVEw5AhwCOPyDe5pk1lPmEiKyyUUfuBA4HXX5cFCBMmAG3byhc3FXfayawEzjlHklg89JDc5ejQAZg6VT6X6tXzunbKK926OZelpNjnDw8nIwNYuRIYNAhIT5dtDRrI4MG0aZHvJ1zYvQ4dnBcQVasWn+ggnsrKCl3ulDWndWtJYl9QIJ2txYuBCy6IvR4rVkj6pW++Kd328cfA1Vf7c/i4Ro3Q5TpfSOa49O4tI7uBDh+W+GiJHAMzN9d+ZeuuXRJTUsWddjIriTp1ZGrSv/4lAxkTJoT/3FLJrU8f4JJL7Mt+9ztZCBmLevXkrltenqwm370bGDcuukW57ds7l9WqJeXz5skt+ECpqTLP1MuwcHHRrRvQsKFz+a23hn49kZnVrJMm2Y+onjgBPPpoxfdvWtu2oecO9u/vXl386s035Q/VzuHD/kpvGa35853Lli9P7A50gtBOplKVVHq6zLscPLh01LFePZleYSIXePXqQKNG0vGL1t13Ow8yjRkji9n69JGENuPGycjluHGlCW6STnq6LPnPyChfdt99oXvlphw/LqOWTuKRJq+iqlSRhPd2w979+sk8vcou3G3jRL6tHKoTWVxsn4tdGRXD279SKlnUrSsjf089JSOPDRqUHx30Qna2dICHDi1NmZyZKR3MSZNKn3f++dHdhk9oPXvKHMOnnpJc0g0byhw6p8CkpqWmyuP0aftyNxLYx6JLF4lpNWuWzBuqXVvm6PXvbz7mZSI6//yKlfvZ5ZdLTFk7jRvLQ8WVdjIrsVWrJFTc999LDuoRI9wZEPHCkSPABx/IXMPOnWMPCJ6sMjNDh7ryQvv2wBdfSEiiI0eAiy4qmy2tUmrRQgI7eyE9XUb+liyxL/fzRNjmzYEnn/S6Fv7Uq5esDP3uu/Jl9eoldgiSsWMlVEVg2K8S48cnYTBd/9GvcZXUY48BPXrI39+HH0p0lA4dJK5zspkxQ27bXnedDPo0aiRJKpT/EUnnslMn7WD6wmOP2c8NbdlSPrRV4klLA954o3z2qIYNZd5iuMVTfta2rZxbYHiVrCy5jkeM8K5elYhm/IlSomX8sbNtm3yxt/uvr1pVFmoky8KJF190zlzzxhuVKya1Cm3rVlkgXb++JITRQQ4He/fKpN1335Xb5717S/R+pxXuKjGcOiWLgLZulfBFN9wgHwjJoLhYpkwUFMhqx0p2K8vLjD96u7wSWrTIOeTeiRMSp3nCBBnxS3R/+lPoMu1kqqNHZfHT0qWl25o2lYWpnTp5Vy/fatQImD5dHip5pKUl70KoKlWAnByva1GquFjSmK1bJ/OUbrlF4pQmIb1dHqP8fBlxb99evhiNHSsjgIkg3IK6J58EfvELCWNz6pQ7dYqHwkJZbezEj2H9lPuGDi3bwQQkmc111/k/oY1SKsEcOiS3Sq69VkJ5jB8vtxanTvW6ZnGhncwYFBUBXbvKtfHRRzIK/8QT8kUpMEaxX0UyOlNUBDzzDPCHP8S/PvGSlhY6FmjSZYXxkT17JA7yrFmyeMevdu6U+OR2jhzRubtKKcNGjZJVqIGY5cPWLnB8gvO8k0lEzYloHBGtIqJdRFRIRPuJ6HUiCpGTJOQ+OxLRCiI6SEQFRLSJiMYQkZFZVgcO2I+C/fijjGj6Xa9eQLt2kT336afldmIiIpLboE5ClanYTZsmt5vvuktCDrVpI7HC7RZ4eu3LL0Nna/z8c/fqopRKcnl5wMKFzuW5ue7VxSWedzIB/BHANAANAKwA8DiADwBcD2AVEY2KZmdE1BvAWgBXAlgG4EkA6QBmAgjxvxu5vDznshUr5Fa6n6WkAG+9JdNAwoWJO3YM+PZbd+oVDw89JKmVg3XvLjGslVmvvy7zeYuKym5fsEDm+vpNuFzqkeZaV0qpsPbuDT0HLZED3zvwQyfzbQA5zHwhMw9n5gnMfDOAHgBOAZhOROdEsiMiqgXgrwCKAFzFzEOZ+T4AbQH8C8AtRFThPGLFxc5lzLJ4xu/q1ZPbhPv2yfSQUOrXd6dO8ZCVBbz/vqQgvPVWicG8aJHclfBr7OhEFioUYW6u/+b4XnqphEhycttt7tVFKZXkmjSxz9pVIpED3zvwvJPJzHOZudzNZ2ZeA2A1ZBSyY4S7uwVAfQALmflM/jNmPgFgovXrXRWqMEKHDWvVSjpwieLss2WKiJOrr078pAgZGdK5nD9fOpt9+8aW6lCF55RcA5A7AD//7F5dIkEk14Xd/NypUyVhiFJKGVGrFjBokHP5yJHu1cUlfv+oLRn3cMhjVk536+fbNmVrARwH0JGIMpj5ZKyVathQRiuPHy9fNmWKfHAlkptvBoYPl+w/gZo2Lb9NqVCysyWDlJ0aNSSjn99cdBGwZYvEVN24UUbuBw2SOM5KKWXUzJmyMnLFitJtaWmyvWtX7+oVJ77tZBJRU8gt8+OQDmIkWlg/y42nMPNpItoO4EIAzQBsjrVuVasCK1cCo0fL6nJAEgo8/LC/M6s5IZKV5P36yZzk/HygY0f5oNUsKyoaw4cDax3+Wm+/PfSdIi/Vri2LlJRSKq4yMyXo/b//LXO5atSQhAZJOgHclxl/iCgDwEoAnQDcz8wRRf0lov8AaA6gOTOXW65CRB9Abr13ZOZ/hdmXU0qfi6tVq5bSqlUrADLHrLjYvx+eSrlt926JwBCoZk2JNRxuoZlSSimzNm/ejIKCgoPM7HouPyMjmUS0A0DTKF4yn5kHOOwrBcBLkA7mqwBmVLiCZlUpKCgo+uSTTzS4SVktrZ9bPK2F/2i7QEbHP/vszK/aJva0Xexpu9jTdilP28TexQA8SUJv6nb5NgDRrKm2zaNhdTBfBtAXwCIAAzi6odbD1k+nENwl2w+F25FTjs+SEU4vcoD6mbaLPW2X8rRN7Gm72NN2saftUp62ib0Qd2bjzkgnk5l7VHQfRJQGYD6kg/kKgEHMXBT6VeV8A6AdgF8BKNOoRJQK4DzIIqLvKlpfpZRSSinlzBczpIgoHcBiSAdzHoCBMXQwAWCV9bOnTdmVAKoDWF+RleVKKaWUUio8zzuZ1iKfZQB6A/gbgNuYOUS4c4CIsoiopU2Q9iUAfgLQn4jaBTy/KoCHrV+fMVZ5pZRSSillyw8hjHIBXAfpHO4B8CCVDzS5mplXB/x+E4A5AF4EMKRkIzMfIaL/gXQ2VxPRQgAHAdwACW+0BLKYSCmllFJKxZEfOpnnWT/rAXgwxPNWR7IzZv47EXUF8AcAfQBUBfAtgHsB/CXKhURKKaWUUioGvoyTqZRSSimlEpvnczKVUkoppVTy0U6mUkoppZQyTjuZSimllFLKOO1kKqWUUkop47STqZRSSimljNNOplJKKaWUMk47mUoppZRSyjjtZDogouZENI6IVhHRLiIqJKL9RPQ6EXWLcZ8diWgFER0kogIi2kREY4goxXT944WI0ohoNBHNIaLPrHZhIhoWw76yrdc6PRbG4xxMM9kmAftMOPcXiAAACeBJREFU+GulhKlzCXOtfBiv+seKiM4loheIaC8RnSSiHUT0ZyKqHeV+6liv22HtZ6+133PjVfd4MtEuRLQ6zPVQNZ7nYBoR3UJEs4nofSI6Yp3DyzHuy8h15wem2sVqA6dr5Yd41D1eiKguEQ0jomVE9K31nnqYiNYR0VAiiqpfF+/rxQ8Zf/zqjwD6AfgawApIesoWkBSVNxDRaGb+S6Q7I6LeAF4DcAKS2vIggF8DmAmgE4C+RmsfP5kA/mz9ez+AHwA0qeA+Pwfwd5vtX1Zwv24x2iZJdK3E41x2Aphrs3137LU0j4h+CWA9gLMBvA5gC4DLAYwG0JOIOjHzzxHsp661n18BWAVgIYCWAG4DcD0RdWDm7+JzFuaZapcAUxy2n65QRd03EcDFAI5CruWWsewkDu3rNSPtYjmM0vfpQEcrsE8v9AXwDIB9AP4J4HsADQDcDOB5AL2IqG8k2Q1duV6YWR82D0hO9EtstncFUAjgJIBzItxXLQAHrNe0C9he1foPZgD9vT7nCM8lHUCvknMHMNmq/7AY9pVtvXau1+flozZJpmvF6LlYz1/t9XlFWNd3rPreHbT9CWt7boT7edZ6/uNB20dZ29/2+lw9apfV8vHl/TkZapduAJoDIABXWW3xslft65eHwXbZAWCH1+djqE26Q76oVwna3hDS4WQAffxyvXjeYIn4APBulP+Rt1vPf9HhgmEAa7w+rxjbotJ3Mg23SdJcK6bPJVE6mQB+adV1u80HQU3IyMkxAJlh9lMDwHHr+TWDyqpYH5wMoJnX5+xmu1jPT6pOZtC5xdSZMtm+fnxoJzOi8/y91Uaz/XK96JzM2JyyfkZ6S6a79fNtm7K1kA+SjkSUUdGKJahGRDSciH5v/WzjdYU8lEzXSjzO5Swiut26VkYQ0RUVrqV5JXO232Xm4sACZs4H8AGA6gDC1f0KANUAfGC9LnA/xZBRiMDj+Z2pdjmDiPoR0XgiupeIeiXI30W8GG/fJJNBRAOs947RRNQtEee4hxFN38SV60XnZEaJiJoC6AH5gFwb4ctaWD//E1zAzKeJaDuACwE0A7DZRD0TzNXW4wwiWg1gMDN/70mNvJNM10o8zuViAH8L3EBEnwMYyMxfVKCuJjmet2UrgGsg8yxXVnA/sPaTCEy1S6DgxYEHiGgEMy+JoX6JLh7tm0waAngpaNt2IrqNmdd4USGTiCgVwCDrV7sv9sFcuV50JDMK1rfk+QAyAExm5rwIX5pl/TzsUF6y/awKVC8RHYcssLoUQG3r0RUymfkqACuJKNOz2nkjma4V0+fyBGSxUH3I7ZzLACyBdDxXEVHjGOtpmqnzTqZrATB7Pq9D5qWdCxntbQngUeu1rxJRzwrUM1El2/Vi0hzI4FBDyELNiyDznbMBvEVEF3tXNWOmAWgNYAUzvxPuyXDpeknqTmaYsAV2D8fQCNaw+kuQD7lXAcxw6zxMM9kuFcHMB5j5QWb+hJkPWY+1kG9PGwCcDyDmMEDR8Eub+I2f2oWZxzLzemb+iZmPMvPHzNwXsnq9HoD/jdexlb8w80xmXs7Me5j5BDN/w8y/BzAW8rn2qMdVVD7CzFOYeRUz72fm48z8JTPfCfniWg0yjz5hEdEoyLW/BcBAj6tTRrLfLt8GCZ0Sqb12G60O5suQ0AGLAAxga3ZshEq+EWQ5lJdsPxTFPivCSLvEi3Ur9XkA7QFcCWCWC4f1S5sk07Xi1rnkAugDuVb8wNR5++1aqCg3zud5SHistkRUM3gua5JLtuvFDbmQzplf3juiRkQjIZ+RXwPowcwHI3ypK9dLUncymblHRfdBRGmQW+R9AbwCYBAzF0W5m28AtIPMbdgYtP9UAOdBJuq6Eu/ORLu44Efrpyu3y33UJsl0rbh1Lq5eKxH4xvrpNFeyufXTaS6U6f34RdzPh5lPEFE+ZOpNJoDK1MlMtuvFDX5774gKEY2BfKn6EtLBPBDFy125XpL6dnlFEVE6gMWQDuY8yOKCaDuYgARRBgC7eUJXQlZwrWfmkzFVNDmVrGhLmEDThiTTteLWufjtWvmn9fOa4OwbRFQTMuXmOIBwWYo+BFAAoJP1usD9VIFMKwk8nt+ZahdHRNQC0sHMB/BTrPtJUHFv3yTkt/eOiBHROEgH8zMA3aLsYAIuXS/ayXRgLfJZBqA3ZDXrbcHL/G1ek0VELYnonKCiJZA3vP5E1C7g+VUBPGz9+oyxyvuMU7sQUU7wxW1t7wHgHuvXpJz7WEmulajPhYiqW+3yi6Dtbay7CgjeDuAR61dfXCvMvA0SSzcbwIig4imQUZOXmPlYyUbrnMtkM2Hmo5B54JkoP2dspLX/dzhBMv6YahciOo+I6gTvn4jqQxZ4AMBCZk60rD8RIUlj25IkW8sZsbRvMnFqFyJqZbeAlIiyATxp/eqL945IEdEDkIU+GyEjmI5fqLy+Xii6qYWVBxHNgWT9+QnA05CgpcFWM/PqgNcMgbzJvcjMQ4L2dyPkQ/cEJOzGQUiKyhbW9t9EOc/TM0Q0HqXpvdpCVveuR2lIlXXM/HzA84fApl1IwhQ1t15bkhawDUrjKz7AzCWdEV8z1SZWWTJdK1GdCxFdBfmGvYaZrwrYPheymvh9ALsgWYRaQkZJUwD8FcBwv7QLlU/Xthkyx7gb5PZTRw5I10ZEEm2emYL2E5xW8iMArSBffg9Y+9kW7/MxxUS7WH87uQDWQUagDgL4BYDrIPPIPgZwNTMnzNxD6+/kRuvXhgCuhZzb+9a2n5j5f63nZkMCaO9k5uyg/UTVvn5nol2IaDJk3uVaSFrafEgg8ush2cdWALiJmQvjejKGENFgSGrdIgCzYb86fAczz7Wenw0vr5eKRHJP5gesjBJhHpODXjMEITLYQIafVwDIg9wG+wIyYpfi9fkabpu5Qc+3bRcAQwEsh2RjOArpOHwPWb3fxevz9KJNku1aifZcUJrVY3XQ9hsBLAXwLYAjkNSu+wC8AeAGr8/R4bybQL5I7LPquxOSO7m2zXMZDhlsANSBTOzfGXDeLwA41+tz9KJdIOFn5lrX0c+QANQHIR2PuwGke32OMbTJ5DDvHzsCnpsdvC3W9vX7w0S7QMLiLYCsvD5kXS8/AvgHJK4keX2ehtukzPun19eLjmQqpZRSSinjdE6mUkoppZQyTjuZSimllFLKOO1kKqWUUkop47STqZRSSimljNNOplJKKaWUMk47mUoppZRSyjjtZCqllFJKKeO0k6mUUkoppYzTTqZSSimllDJOO5lKKaWUUso47WQqpZRSSinjtJOplFJKKaWM006mUkoppZQyTjuZSimllFLKOO1kKqWUUkop47STqZRSSimljNNOplJKKaWUMu7/AZ7gY2/FW/yDAAAAAElFTkSuQmCC\n",
    
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          "text/plain": [
           "<Figure size 360x360 with 1 Axes>"
          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 318,
           "width": 332
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "xv = xor[\"x\"]\n",
        "yv = xor[\"y\"]\n",
        "\n",
    
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        "colors = [\"rb\"[i] for i in xor[\"label\"]]\n",
    
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        "plt.figure(figsize=(5, 5))\n",
        "plt.xlim([-2, 2])\n",
        "plt.ylim([-2, 2])\n",
        "plt.title(\"green points have label True\")\n",
        "plt.scatter(xv, yv, color=colors, marker=\".\");"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Again, this example data set can not be separated by a line. But we see that points where the sign of x and y are the same appear to form one class, and point with different signs for x and y belong to the other class.\n",
        "\n",
    
        "How can we engineer a more descriptive feature which describes \"x and y have the same sign\" ? Here we can use the fact that the product of two numbers is postive if and only if both numbers have the same sign.\n",
    
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        "\n",
        "So lets plot a histogram over `x * y`:"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 68,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "image/png": 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\n",
    
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          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
    
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          "image/png": {
           "height": 250,
           "width": 370
          },
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "products = xor[\"x\"] * xor[\"y\"]\n",
        "\n",
        "features_class_true = products[xor[\"label\"]]\n",
        "features_class_false = products[~xor[\"label\"]]\n",
        "\n",
        "plt.hist(features_class_true,  bins=30, color=\"g\", alpha=.5, histtype=\"stepfilled\")\n",
        "plt.hist(features_class_false,  bins=30, color=\"r\", alpha=.5, histtype=\"stepfilled\");"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "In this case a simple classifier would just introduce a threshold of 0 to distinguish both classes."
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "### Other examples of feature engineering\n",
        "\n",
    
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        "\n",
    
        "Feature engineering requires understanding your data to extract meaningful and discriminative (?) information.\n",
    
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        "\n",
        "Proper feature engineering can boost the performance of a classifier significantly.\n",
        "\n",
        "Examples:\n",
        "\n",
    
        "- early classifiers to detect nudity in images used color histograms of full image and image patches (plus more features) to create suitable features. \n",
    
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        "\n",
        "\n",
        "- spam classifier: choice of dictionary, extra feature which counts words only in capital cases or words with unusual characters (like \"pill$\")\n",
        "\n",
        "\n",
        "- to distinguish background noise from speach audio samples, the frequency distribution might help. Also std deviation  or a histogram of loudness / energy of a sample might help.\n",
        "\n",
        "\n",
    
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        "- to classify DNA sequences, n-gram histograms (n>=1) can be benefitial.\n",
    
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        "\n",
        "\n",
    
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        "- for geopolitical data a feature \"state\"  can be enhanced by \"political system\" and / or \"gross national product (GNP)\".\n",
    
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        "\n",
        "\n",
        "- for sales data add a feature \"is week day\".\n",
        "\n",
        "\n",
    
        "Most cases are beyond the 2- or 3D case and visual inspection can be difficult. Thus engineering features as we did in the 2D examples becomes tricky. But here are some general recommendations:\n",
    
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        "\n",
        "- use statistics (mean, std deviations, higher order features) as well as histograms if applicable.\n",
        "\n",
    
        "- polynomial features (e.g. extend `x, y` to `x, y, x * y, x ** 2, y ** 2`) (see examples section).\n",
    
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        "\n",
        "- image classification: dig into *computer vision* to learn about image descriptors.\n",
        "\n",
        "- audio classification: learn about FFT, wavelets, filter banks, power spectrum, ...\n",
        "\n",
        "- try to incorporate external data.\n",
        "\n",
        "*Comment*: \n",
        "\n",
    
        "We will see later that adding too many features can introduce other problems (-> *overfitting*) but there are also methods for feature selection in this case (see https://scikit-learn.org/stable/modules/feature_selection.html)"
    
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Examples below only discuss the two classes case !?\n",
        "\n",
        "\n",
        "The following examples in this script will only consider two class problems. \n",
        "Before we dig deeper into classification, we want to say a few words on how can we handle more than two classes. \n",
        "\n",
        "\n",
        "The general idea for `n > 2` classes is to build multiple 2-class classifiers and determine a winner:\n",
        "\n",
        "- the **one-vs-all** approach builds `n` classifiers for \"label n vs. the rest\". \n",
        "\n",
        "\n",
        "- the **one-vs-one** approach builds  classifiers for `label i vs label j` (in total `n x (n - 1) / 2` classifiers).\n",
        "\n",
        "For new incoming data then the `n` resp. `n x n` classifiers are applied and the overall winner class is the final result.\n",
        "\n",
        "For the digit classificaton example:\n",
        "\n",
        "- we could build 10 classifiers `is it 0 or one of the others`, `is it 1 one or one of the others`, etc.\n",
        "  \n",
        "  A new image then would hopefully yield `True` for exactly one of the classifier, in other situations the result is unclear.\n",
        "   \n",
        "   \n",
        "- we could build 45 classifiers `is it 0 or 1`, `is it 0 or 2`, etc.\n",
        "\n",
        "  For a new image we could choose the final outcome based on which of the classifiers \"wins\" most often.\n",
        "\n",
        "\n",
        "#### Note:\n",
        "In `scikit-learn` many classifiers support such multi-class problems out of the box and also offers functionalities to implement `one-vs-all` or `one-vs-one` for specific cases. See https://scikit-learn.org/stable/modules/multiclass.html"
       ]
      },
    
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      {
       "cell_type": "markdown",