{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial: Running kNN models\n",
    "\n",
    "This lab focuses on implementing kNN in R.\n",
    "\n",
    "## Goals:\n",
    "* Learn how to use the `knn()` function\n",
    "\n",
    "This lab draws from the practice sets at the end of Chapter 4 in James, G., Witten, D., Hastie, T., & Tibshirani, R. (2013). \"An introduction to statistical learning: with applications in r.\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "DOpIs5wUM1HC"
   },
   "source": [
    "---\n",
    "# K-Nearest Neighbors: an intro\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "2HLs7TfwB9n6"
   },
   "source": [
    "It's time to talk about our first non-parametric method: [K-Nearest Neighbors](https://en.wikipedia.org/wiki/K-nearest_neighbors_algorithm)! This is a pretty straightforward way to classify things. Say you have a bunch of pre-classified items $\\bf{x}$, and a new item that you'd like to classify, $x_{new}$. You can look at the K points in $\\bf{x}$ that are closest to $x_{new}$, and whichever class is most common among those K points is your predicted classification for the new item, $x_{new}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "f9Y3BOrtiTMI"
   },
   "source": [
    "## Classifying irises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "h8ygUxLpUo3-"
   },
   "source": [
    "We'll use the `iris` dataset, which we've used in previous tutorials, to demonstrate KNN. As a reminder, the `iris` data set records the length and width of petals and sepals for different species of iris flowers. Let's look at how the different species cluster based on the lengths of their petals and sepals. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 807
    },
    "executionInfo": {
     "elapsed": 721,
     "status": "ok",
     "timestamp": 1611794740336,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "fFhPaCMkU6cT",
    "outputId": "e5f77962-4616-4fcc-8a7b-58db5367a136"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Sepal.Length</th><th scope=col>Sepal.Width</th><th scope=col>Petal.Length</th><th scope=col>Petal.Width</th><th scope=col>Species</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>5.1</td><td>3.5</td><td>1.4</td><td>0.2</td><td>setosa</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>4.9</td><td>3.0</td><td>1.4</td><td>0.2</td><td>setosa</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>4.7</td><td>3.2</td><td>1.3</td><td>0.2</td><td>setosa</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>4.6</td><td>3.1</td><td>1.5</td><td>0.2</td><td>setosa</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>5.0</td><td>3.6</td><td>1.4</td><td>0.2</td><td>setosa</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>5.4</td><td>3.9</td><td>1.7</td><td>0.4</td><td>setosa</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 5\n",
       "\\begin{tabular}{r|lllll}\n",
       "  & Sepal.Length & Sepal.Width & Petal.Length & Petal.Width & Species\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <fct>\\\\\n",
       "\\hline\n",
       "\t1 & 5.1 & 3.5 & 1.4 & 0.2 & setosa\\\\\n",
       "\t2 & 4.9 & 3.0 & 1.4 & 0.2 & setosa\\\\\n",
       "\t3 & 4.7 & 3.2 & 1.3 & 0.2 & setosa\\\\\n",
       "\t4 & 4.6 & 3.1 & 1.5 & 0.2 & setosa\\\\\n",
       "\t5 & 5.0 & 3.6 & 1.4 & 0.2 & setosa\\\\\n",
       "\t6 & 5.4 & 3.9 & 1.7 & 0.4 & setosa\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 5\n",
       "\n",
       "| <!--/--> | Sepal.Length &lt;dbl&gt; | Sepal.Width &lt;dbl&gt; | Petal.Length &lt;dbl&gt; | Petal.Width &lt;dbl&gt; | Species &lt;fct&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "| 1 | 5.1 | 3.5 | 1.4 | 0.2 | setosa |\n",
       "| 2 | 4.9 | 3.0 | 1.4 | 0.2 | setosa |\n",
       "| 3 | 4.7 | 3.2 | 1.3 | 0.2 | setosa |\n",
       "| 4 | 4.6 | 3.1 | 1.5 | 0.2 | setosa |\n",
       "| 5 | 5.0 | 3.6 | 1.4 | 0.2 | setosa |\n",
       "| 6 | 5.4 | 3.9 | 1.7 | 0.4 | setosa |\n",
       "\n"
      ],
      "text/plain": [
       "  Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n",
       "1 5.1          3.5         1.4          0.2         setosa \n",
       "2 4.9          3.0         1.4          0.2         setosa \n",
       "3 4.7          3.2         1.3          0.2         setosa \n",
       "4 4.6          3.1         1.5          0.2         setosa \n",
       "5 5.0          3.6         1.4          0.2         setosa \n",
       "6 5.4          3.9         1.7          0.4         setosa "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CBAgAABAgQIbELgbR/fdlx4tVJVCrO+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\nVIUAAayqmEYGgQACCCCAAAIIIIAAAggggAACC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Ju51NQU7etOG+6yhry90pprxoo3TXZvtrj2Ot03/PNde9pe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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 600,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "require(tidyverse)\n",
    "dat <- iris\n",
    "head(dat)\n",
    "\n",
    "options(repr.plot.width=10, repr.plot.height=10)\n",
    "ggplot(dat,aes(x=Petal.Length,y=Sepal.Length,col=Species)) +\n",
    " geom_point(size=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "r1b1c_FAUdY4"
   },
   "source": [
    "We can implement KNN in R using the `knn()` function from the `class` library. This takes four inputs: the training predictors (`Sepal.Length` and `Petal.Length`), the testing predictors, the training labels (`Species`) and the value for `K`. \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Identifying test items\n",
    "\n",
    "There are 150 observations - let's set aside 30 to be test items. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 617
    },
    "executionInfo": {
     "elapsed": 725,
     "status": "ok",
     "timestamp": 1611795276330,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "7sf-5L0JV89O",
    "outputId": "e1e29cc5-246b-461e-b1dc-5aed7ea53003"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 8</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Sepal.Length</th><th scope=col>Sepal.Width</th><th scope=col>Petal.Length</th><th scope=col>Petal.Width</th><th scope=col>Species</th><th scope=col>is.test</th><th scope=col>Species_pred</th><th scope=col>KNN_correct</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;lgl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;lgl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>5.1</td><td>3.5</td><td>1.4</td><td>0.2</td><td>setosa</td><td>FALSE</td><td>setosa</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>4.9</td><td>3.0</td><td>1.4</td><td>0.2</td><td>setosa</td><td>FALSE</td><td>setosa</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>4.7</td><td>3.2</td><td>1.3</td><td>0.2</td><td>setosa</td><td>FALSE</td><td>setosa</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>4.6</td><td>3.1</td><td>1.5</td><td>0.2</td><td>setosa</td><td>FALSE</td><td>setosa</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>5.0</td><td>3.6</td><td>1.4</td><td>0.2</td><td>setosa</td><td>FALSE</td><td>setosa</td><td>TRUE</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>5.4</td><td>3.9</td><td>1.7</td><td>0.4</td><td>setosa</td><td>FALSE</td><td>setosa</td><td>TRUE</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 8\n",
       "\\begin{tabular}{r|llllllll}\n",
       "  & Sepal.Length & Sepal.Width & Petal.Length & Petal.Width & Species & is.test & Species\\_pred & KNN\\_correct\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <fct> & <lgl> & <fct> & <lgl>\\\\\n",
       "\\hline\n",
       "\t1 & 5.1 & 3.5 & 1.4 & 0.2 & setosa & FALSE & setosa & TRUE\\\\\n",
       "\t2 & 4.9 & 3.0 & 1.4 & 0.2 & setosa & FALSE & setosa & TRUE\\\\\n",
       "\t3 & 4.7 & 3.2 & 1.3 & 0.2 & setosa & FALSE & setosa & TRUE\\\\\n",
       "\t4 & 4.6 & 3.1 & 1.5 & 0.2 & setosa & FALSE & setosa & TRUE\\\\\n",
       "\t5 & 5.0 & 3.6 & 1.4 & 0.2 & setosa & FALSE & setosa & TRUE\\\\\n",
       "\t6 & 5.4 & 3.9 & 1.7 & 0.4 & setosa & FALSE & setosa & TRUE\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 8\n",
       "\n",
       "| <!--/--> | Sepal.Length &lt;dbl&gt; | Sepal.Width &lt;dbl&gt; | Petal.Length &lt;dbl&gt; | Petal.Width &lt;dbl&gt; | Species &lt;fct&gt; | is.test &lt;lgl&gt; | Species_pred &lt;fct&gt; | KNN_correct &lt;lgl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | 5.1 | 3.5 | 1.4 | 0.2 | setosa | FALSE | setosa | TRUE |\n",
       "| 2 | 4.9 | 3.0 | 1.4 | 0.2 | setosa | FALSE | setosa | TRUE |\n",
       "| 3 | 4.7 | 3.2 | 1.3 | 0.2 | setosa | FALSE | setosa | TRUE |\n",
       "| 4 | 4.6 | 3.1 | 1.5 | 0.2 | setosa | FALSE | setosa | TRUE |\n",
       "| 5 | 5.0 | 3.6 | 1.4 | 0.2 | setosa | FALSE | setosa | TRUE |\n",
       "| 6 | 5.4 | 3.9 | 1.7 | 0.4 | setosa | FALSE | setosa | TRUE |\n",
       "\n"
      ],
      "text/plain": [
       "  Sepal.Length Sepal.Width Petal.Length Petal.Width Species is.test\n",
       "1 5.1          3.5         1.4          0.2         setosa  FALSE  \n",
       "2 4.9          3.0         1.4          0.2         setosa  FALSE  \n",
       "3 4.7          3.2         1.3          0.2         setosa  FALSE  \n",
       "4 4.6          3.1         1.5          0.2         setosa  FALSE  \n",
       "5 5.0          3.6         1.4          0.2         setosa  FALSE  \n",
       "6 5.4          3.9         1.7          0.4         setosa  FALSE  \n",
       "  Species_pred KNN_correct\n",
       "1 setosa       TRUE       \n",
       "2 setosa       TRUE       \n",
       "3 setosa       TRUE       \n",
       "4 setosa       TRUE       \n",
       "5 setosa       TRUE       \n",
       "6 setosa       TRUE       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# set seed so the notebook will give the same random 30 test items every time\n",
    "set.seed(1) \n",
    "\n",
    "#pull random sample of 30 row indices\n",
    "test.inds <- sample(1:nrow(dat),30)\n",
    "\n",
    "# TRUE/FALSE indicator for whether each observation is a test item or not. \n",
    "dat$is.test <- 1:nrow(dat) %in% test.inds \n",
    "head(dat)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AgQIEBgHgJX3bR4t/Bqoqo0zHrwybb4\n2k8WTezymQABAtMKCLCmpXGAAAECBAgQIECAAAECBOYjsGMoFz9e2/H0yqvJdaUh1vd+vjDS\nSwxtBAgQmElAgDWTjmMECBAgQIAAAQIECBAgULTAo1tao3nnVYPT1jE6lotNfa4hnBbIAQIE\nCgICLE8EAgQIECBAgAABAgQIECiLQGtzPsbnULN7YM0BySkEGlxAgNXgTwDDJ0CAAAECBAgQ\nIECAQLkEVi8diTTEmmlb3DEWy7pcQziTkWMECEQIsDwLCBAgQIAAAQIECBAgQKAsAunKqpee\n0BfNTVOHWE25fLzqlO1laVulBAhkS0CAla35NBoCBAgQIECAAAECBAjUlMALj9kR5xy1I3KR\nj5bm9ILCfGFVVi4Jr152cm+ccuhgTfVXZwgQqE2Bltrsll4RIECAAAECBAgQIECAQFYEXvGc\n3nju4f1x+7r22D7QHD0Lx+KkgwZj2SKXDmZljo2DQLkFBFjlFlY/AQIECBAgQIAAAQIECMSq\n7rF4cfcOEgQIEChKwCWERbEpRIAAAQIECBAgQIAAAQIECBAgUCkBAValpLVDgAABAgQIECBA\ngAABAgQIECBQlIAAqyg2hQgQIECAAAECBAgQIECAAAECBColIMCqlLR2CBAgQIAAAQIECBAg\nQIAAAQIEihIQYBXFphABAgQIECBAgAABAgQIECBAgEClBARYlZLWDgECBAgQIECAAAECBAgQ\nIECAQFECAqyi2BQiQIAAAQIECBAgQIAAAQIECBColIAAq1LS2iFAgAABAgQIECBAgAABAgQI\nEChKQIBVFJtCBAgQIECAAAECBAgQIECAAAEClRIQYFVKWjsECBAgQIAAAQIECBAgQIAAAQJF\nCQiwimJTiAABAgQIECBAgAABAgQIECBAoFICAqxKSWuHAAECBAgQIECAAAECBAgQIECgKAEB\nVlFsChEgQIAAAQIECBAgQIAAAQIECFRKQIBVKWntECBAgAABAgQIECBAgAABAgQIFCUgwCqK\nTSECBAgQIECAAAECBAgQIECAAIFKCQiwKiWtHQIECBAgQIAAAQIECBAgQIAAgaIEBFhFsSlE\ngAABAgQIECBAgAABAgQIECBQKQEBVqWktUOAAAECBAgQIECAAAECBAgQIFCUgACrKDaFCBAg\nQIAAAQIECBAgQIAAAQIEKiUgwKqUtHYIECBAgAABAgQIECBAgAABAgSKEhBgFcWmEAECBAgQ\nIECAAAECBAgQIECAQKUEBFiVktYOAQIECBAgQIAAAQIECBAgQIBAUQICrKLYFCJAgAABAgQI\nECBAgAABAgQIEKiUgACrUtLaIUCAAAECBAgQIECAAAECBAgQKEpAgFUUm0IECBAgQIAAAQIE\nCBAgQIAAAQKVEhBgVUpaOwQIECBAgAABAgQIECBAgAABAkUJCLCKYlOIAAECBAgQIECAAAEC\nBAgQIECgUgICrEpJa4cAAQIECBAgQIAAAQIECBAgQKAoAQFWUWwKESBAgAABAgQIECBAgAAB\nAgQIVEpAgFUpae0QIECAAAECBAgQIECAAAECBAgUJSDAKopNIQIECBAgQIAAAQIECBAgQIAA\ngUoJCLAqJa0dAgQIECBAgAABAgQIECBAgACBogQEWEWxKUSAAAECBAgQIECAAAECBAgQIFAp\nAQFWpaS1Q4AAAQIECBAgQIAAAQIECBAgUJSAAKsoNoUIECBAgAABAgQIECBAgAABAgQqJSDA\nqpS0dggQIECAAAECBAgQIECAAAECBIoSEGAVxaYQAQIECBAgQIAAAQIECBAgQIBApQQEWJWS\n1g4BAgQIECBAgAABAgQIECBAgEBRAgKsotgUIkCAAAECBAgQIECAAAECBAgQqJSAAKtS0toh\nQIAAAQIECBAgQIAAAQIECBAoSkCAVRSbQgQIECBAgAABAgQIECBAgAABApUSEGBVSlo7BAgQ\nIECAAAECBAgQIECAAAECRQkIsIpiU4gAAQIECBAgQIAAAQIECBAgQKBSAgKsSklrhwABAgQI\nECBAgAABAgQIECBAoCgBAVZRbAoRIECAAAECBAgQIECAAAECBAhUSkCAVSlp7RAgQIAAAQIE\nCBAgQIAAAQIECBQl0FJUKYUIECBAgAABAgQIECBAoCoCT25vjoc3thbaPmTFSCxfNFaVfjRS\no3c/0hZ3PtIeLU35eM6hA3HoytGKDf+xrS2xblNrNCdtH7ZyOHoWjlesbQ0RqCUBAVYtzYa+\nECBAgAABAgQIECBAYBqBgeFcfOqG7rjrkQXR2pyelI+RsVyceNBgvPHMbdHemp+mpN3FCjyx\nrSkuuXZ59A8/c/HS936+MJZ3jcUfv3RDdLUXW/Ps5XoHmuKT/9Ud9z7eFm3N+WS2ozDfzz18\nIC44fVu0ejU/O6IzMiXwzP+FmRqWwRAgQIAAAQIECBAgQCA7AuPJopvLrl8a9/xyQTKoXCHI\nGBlLX87lkkCrPS7/Vk/k5VclnfDB4YiLv7ryqfAqV7BOvdOPjX3N8edfWVnS9natbCRZ4PXh\n65bFA0+2FdobTuZ6Yr5/vLYj/ul7Pbue7msCDSEgwGqIaTZIAgQIECBAgAABAgTqWeDWB9vj\nl1taY2w8DVB230aTfQ9tbIvb15VxOdDuTTbEoyt/2J14p0Pd0zzdt2OoKa6/a2FZLG68tzM2\nJyHZdPP90yTIvPexNNyyEWgcAQFW48y1kRIgQIAAAQIECBAgUKcCtz3c/lSYMvUA0qDljofT\n1Vm2Ugnc8+jO1U8z1ffjBzpmOlz0sZ881BFpMDnTdtd68z2Tj2PZExBgZW9OjYgAAQIECBAg\nQIAAgYwJ9A6mN72aKdDIRe+gl3elnPaR0Zm805Zykd6XrBxbX7K6a6ZtPJ+LPvM9E5FjGRSY\n+f+KDA7YkAgQIECAAAECBAgQIFBvAvt1j0RTbvqbXDUnx/btrtw749WbXzH9XdSeXj84vXl6\nbPni8rwD5L5LRmZsO303xH2WmO9i5lWZ+hUQYNXv3Ok5AQIECBAgQIAAAQINIvC8IwZmvEn7\neJKzPHfNQINoVGaYv3rUjlkbeslxfbOeU8wJZx7ZnwSW05dM5/uUQwenP8ERAhkUEGBlcFIN\niQABAgQIECBAgACBbAkcvHwkXpyEJVOtwkr3nXdSb+zfY0VOKWf9hcf0J6ZTrYRKV2Xl46SD\nBuPI/ZK3KizDdtT+w3HGEf3RnKy02n3LRy6Z7wtO3x7Lusqz+mv39jwiUDsCLbXTFT0hQIAA\nAQIECBAgQIAAgekEzjupL/ZLQqqv37YontyevpTLx6rkMrLzk/DqhIOGpitm/zwE/vRlm+LK\nHyyOm+7vjPS+U6l5S3M+XnzsjnjJCeVZfTXR3dc9d3sclASX193RFZv6ds73AUtH4mUn90Ya\ncNkINJqAAKvRZtx4CRAgQIAAAQIECBCoW4GTDxmM9GP0qcU3Lem93W1lFXjDGdsj/RhIMqPm\n5Bqmtgq+in5ecllo+jGSLK5rStpO27cRaFSBCv6v16jExk2AAAECBAgQIECAAIHSCgiuSus5\nl9o62uZyVnnOafXKvTywaq0rAfltXU2XzhIgQIAAAQIECBAgQIAAAQIEGk9AgNV4c27EBAgQ\nIECAAAECBAgQIECAAIG6EhBg1dV06SwBAgQIECBAgAABAgQIECBAoPEEBFiNN+dGTIAAAQIE\nCBAgQIAAAQIECBCoKwEBVl1Nl84SIECAAAECBAgQIECAAAECBBpPQIDVeHNuxAQIECBAgAAB\nAgQIECBAgACBuhIQYNXVdOksAQIECBAgQIAAAQIECBAgQKDxBARYjTfnRkyAAAECBAgQIECA\nAAECBAgQqCsBAVZdTZfOEiBAgAABAgQIECBAgAABAgQaT0CA1XhzbsQECBAgQIAAAQIECBAg\nQIAAgboSEGDV1XTpLAECBAgQIECAAAECBAgQIECg8QQEWI0350ZMgAABAgQIECBAgAABAgQI\nEKgrAQFWXU2XzhIgQIAAAQIECBAgQIAAAQIEGk9AgNV4c27EBAgQIECAAAECBAgQIECAAIG6\nEhBg1dV06SwBAgQIECBAgAABAgQIECBAoPEEBFiNN+dGTIAAAQIECBAgQIAAAQIECBCoKwEB\nVl1Nl84SIECAAAECBAgQIECAAAECBBpPoKXxhmzEBAgQIECAAAECBAgQINAoAuvWrYu/+n8f\nj9vvuCf6+3fEQYceFa/7jZfF6171wkYhME4CmRCwAisT02gQBAgQIECAAAECBAgQIDBZ4Prr\nvxlnnHl2fO0rV0X/2KJo7T4q7vrJ9+PdF/5mvOZ/vXfy6R4TIFDDAlZg1fDk6BoBAgQIECBA\ngAABAgQIFCewadOmuPCd746m1s44883fjJ7VpxQqGh7YGrdc+ar4wbc+Gx+64ux479vPLa4B\npQgQqKiAFVgV5dYYAQIECBAgQIAAAQIECFRC4LNXXh192zfFmrPf93R4lbbb1tEdJ77iE5Fr\naolPfeLSSnRFGwQIlEBAgFUCRFUQIECAAAECBAgQIECAQG0J3HH3fYUO7XPEi/fo2MJlh8XC\nZWti+4b74omtY3sct4MAgdoTEGDV3pzoEQECBAgQIECAAAECBAjMU+CRh9cWauhYcsCUNaX7\n8+Oj8dijj0153E4CBGpLQIBVW/OhNwQIECBAgAABAgQIECBQAoFVK3sKtQwPbJ6ytuH+jYX9\nq1d2THncTgIEaktAgFVb86E3BAgQIECAAAECBAgQIFACgcMPO6RQS98Td+xR2+hwf+zYdF90\ndC6OpUt3Bl17nGQHAQI1JSDAqqnp0BkCBAgQIECAAAECBAgQKIXA+eefX6hm7fcvjhgfTL7O\nP1VtPh648ZIYHeqNl51/bjQ1eVlcCm91ECi3gP9Tyy2sfgIECBAgQIAAAQIECBCouMBJJ50U\nb3jDG+LJdbfHnZ85LUbu/0QMPvTFeOj6N8XPvv2BeM5znhN/8RcXVbxfGiRAoDiBluKKKUWA\nAAECBAgQIECAAAECBGpb4G/+5m9izZo1cemll8a1//y2QmdXrFgRr3nNa+Liiy+OhQsX1vYA\n9I4AgacFBFhPU/iCAAECBAgQIECAAAECBLIkkMvl4i1veUvhY/369TE0NBSHHXZYloZoLAQa\nRkCA1TBTbaAECBAgQIAAAQIECBBoXIHVq1c37uCNnEAGBNwDKwOTaAgECBAgQIAAAQIECBAg\nQIAAgSwLCLCyPLvGRoAAAQIECBAgQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAA\ngSwLCLCyPLvGRoAAAQIECBAgQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwL\nCLCyPLvGRoAAAQIECBAgQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwLCLCy\nPLvGRoAAAQIECBAgQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwLCLCyPLvG\nRoAAAQIECBAgQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwLCLCyPLvGRoAA\nAQIECBAgQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwLCLCyPLvGRoAAAQIE\nCBAgQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwLCLCyPLvGRoAAAQIECBAg\nQIAAAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwLCLCyPLvGRoAAAQIECBAgQIAA\nAQIECBDIgIAAKwOTaAgECBAgQIAAAQIECBAgQIAAgSwLCLCyPLvGRoAAAQIECBAgQIAAAQIE\nCBDIgEBLPY9hwYIF0dnZWVdDaG1tjfHx8Whra6urfutsfQq0tLTEkiVL6rPzel03AunzrKur\nK/L5fN30WUfrT6Cpaeff3NKf/RNf198o9LheBNLnmJ+f9TJb9dvP5ubmQuc7Ojq8Nqjfaayb\nnlfr+9rY2FjdGOlo7QvUdYA1MjISw8PDta88qYdpgDU0NDRpr4cESiuQhrvpD4yBgYHSVqw2\nApME0gAr/Z7mF5RJMB6WVCB9nrW3t8fo6KjvayWVVdlUAmlQ6ufnVDL2lVIgfZ6lH+lrGq8N\nSimrrqkEqvV9Lf35bSNQKoG6fjalQVD6Db+etnTlVfoirx6Dt3pybvS+5nK5AkG6IsZzrdGf\nDeUf/8T34jRYsBEol8DECj8/Q8slrN5dBfz83FXD1+USmFiBlf789PtauZTVOyFQre9rE8/z\niX74TGA+Au6BNR89ZQkQIECAAAECBAgQIECAAAECBMouIMAqO7EGCBAgQIAAAQIECBAgQIAA\nAQIE5iMgwJqPnrIECBAgQIAAAQIECBAgQIAAAQJlFxBglZ1YAwQIECBAgAABAgQIECBAgAAB\nAvMREGDNR09ZAgQIECBAgAABAgQIECBAgACBsgsIsMpOrAECBAgQIECAAAECBAgQIECAAIH5\nCAiw5qOnLAECBAgQIECAAAECBAgQIECAQNkFBFhlJ9YAAQIECBAgQIAAAQIECBAgQIDAfAQE\nWPPRU5YAAQIECBAgQIAAAQIECBAgQKDsAgKsshNrgAABAgQIECBAgAABAgQIECBAYD4CAqz5\n6ClLgAABAgQIECBAgAABAgQIECBQdgEBVtmJNUCAAAECBAgQIECAAAECBAgQIDAfAQHWfPSU\nJUCAAAECBAgQIECAAAECBAgQKLuAAKvsxBogQIAAAQIECBAgQIAAAQIECBCYj4AAaz56yhIg\nQIAAAQIECBAgQIAAAQIECJRdQIBVdmINECBAgAABAgQIECBAgAABAgQIzEdAgDUfPWUJECBA\ngAABAgQIECBAgAABAgTKLiDAKjuxBggQIECAAAECBAgQIECAAAECBOYjIMCaj56yBAgQIECA\nAAECBAgQIECAAAECZRcQYJWdWAMECBAgQIAAAQIECBAgQIAAAQLzERBgzUdPWQIECBAgQIAA\nAQIECBAgQIAAgbILtJS9BQ0QIECAAAECBAgQIECAQMkExscjNvY1Ry6pcdmisWhKv7ARIEAg\n4wICrIxPsOERIECAAAECBAgQIJANgXw+4lt3L4xv3NkVgyM7L6bpaBuPc0/ojXOO6s/GII2C\nAAEC0wgIsKaBsZsAAQIECBAgQIAAAQK1JPCZG5fErQ92xNj4M0uuBoab4iu3Lo4ntrXE6567\nvZa6qy8ECBAoqYB7YJWUU2UECBAgQIAAAQIECBAovcDPH22LH6/dPbyaaCUNtG68tzMeeLJ1\nYpfPBAgQyJyAACtzU2pABAgQIECAAAECBAhkTeBHD3REegnhdFu6JuvHyTk2AgQIZFVAgJXV\nmTUuAgQIECBAgAABAgQyI7Bhe0vkC7dtn3pI4/lcPNnbPPVBewkQIJABAQFWBibREAgQIECA\nAAECBAgQyLZAT9dYMsDpl2DlcvlYujA9x0aAAIFsCgiwsjmvRkWAAAECBAgQIECAQIYETjlk\nIJqfuXf7HiNLD518yOAe++0gQIBAVgQEWFmZSeMgQIAAAQIECBAgQCCzAscdOBTP2m8oWpr2\nXIWV7jv+wMF49n7DmR2/gREgQECA5TlAgAABAgQIECBAgACBOhB46zlb4qwjd0RTcrngxEdz\nEl796lE74reev7UORqCLBAgQKF6gpfiiShIgQIAAAQIECBAgQIBApQRaknu0v+a03jjvpL5Y\nv7mlcEv31UtHY0HrnquyKtUn7RAgQKBSAgKsSklrhwABAgQIECBAgAABAiUQaE8Cq8P3GSlB\nTaogQIBA/Qi4hLB+5kpPCRAgQIAAAQIECBAgQIAAAQINKSDAashpN2gCBAgQIECAAAECBAgQ\nIECAQP0ICLDqZ670lAABAgQIECBAgAABAgQIECDQkAICrIacdoMmQIAAAQIECBAgQIAAAQIE\nCNSPgACrfuZKTwkQIECAAAECBAgQIECAAAECDSkgwGrIaTdoAgQIECBAgAABAgQIECBAgED9\nCAiw6meu9JQAAQIECBAgQIAAAQIECBAg0JACAqyGnHaDJkCAAAECBAgQIECAAAECBAjUj4AA\nq37mSk8JECBAgAABAgQIECBAgAABAg0pIMBqyGk3aAIECBAgQIAAAQIECBAgQIBA/QgIsOpn\nrvSUAAECBAgQIECAAAECBAgQINCQAgKshpx2gyZAgAABAgQIECBAgAABAgQI1I+AAKt+5kpP\nCRAgQIAAAQIECBAgQIAAAQINKSDAashpN2gCBAgQIECAAAECBAgQIECAQP0ICLDqZ670lAAB\nAgQIECBAgAABAgQIECDQkAICrIacdoMmQIAAAQIECBAgQIAAAQIECNSPgACrfuZKTwkQIECA\nAAECBAgQIECAAAECDSnQ0pCjNmgCBAgQIECAAAECBAgQ2GuBdZta4qENbdGUizh05XDs1zO6\n13UoQIAAgWIEBFjFqClDgAABAgQIECBAgACBBhLoHWiKT3y3O9Y+2RYtzfnCyEfHcnHU/kPx\n5rO3RueCnfsaiMRQCRCosIBLCCsMrjkCBAgQIECAAAECBAjUk8DoWMSl31haWHmVj1yMjDUV\nPtKvf/7YgvjYt5ZGXn5VT1OqrwTqUkCAVZfTptMECBAgQIAAAQIECBCojMDN93fGpt6WGMsn\n1w1O2sbGc/HI5ta4/eH2SUc8JECAQGkFBFil9VQbAQIECBAgQIAAAQIEMiVw+7oFMZoEVdNt\nY+MRdz2yYLrD9hMgQKAkAgKskjCqhAABAgQIECBAgAABAtkU6B+a7WVjLnbMek42bYyKAIHK\nCcz2nahyPdESAQIECBAgQIAAAQIECNScwP49I8m7Dk5/k6vmpnzyboQjNddvHSJAIFsCAqxs\nzafRECBAgAABAgQIECBAoKQCZx05MONN2seTbOu5awZK2qbKCBAgMFlAgDVZxGMCBAgQIECA\nAAECBAgQeFrgwOUjcd6JvU+twtp1JVbyPoTJyqwLTt8eKxcnb1VoI0CAQBkFWspYt6oJECBA\ngAABAgQIECBAIAMCLz5+R+y/dDSuvb0r1ifvOphL7ul+4LKROP+k3jhy3+EMjNAQCBCodQEB\nVq3PkP4RIECAAAECBAgQIECgBgSOPWAo0g8bAQIEqiHgEsJqqGuTAAECBAgQIECAAAECBAgQ\nIEBgzgICrDlTOZEAAQIECBAgQIAAAQIECBAgQKAaAgKsaqhrkwABAgQIECBAgAABAgQIECBA\nYM4CAqw5UzmRAAECBAgQIECAAAECBAgQIECgGgICrGqoa5MAAQIECBAgQIAAAQIECBAgQGDO\nAgKsOVM5kQABAgQIECBAgAABAgQIECBAoBoCAqxqqGuTAAECBAgQIECAAAECBAgQIEBgzgIC\nrDlTOZEAAQIECBAgQIAAAQIECBAgQKAaAgKsaqhrkwABAgQIECBAgAABAgQIECBAYM4CAqw5\nUzmRAAECBAgQIECAAAECBAgQIECgGgICrGqoa5MAAQIECBAgQIAAAQIECBAgQGDOAgKsOVM5\nkQABAgQIECBAgAABAgQIECBAoBoCAqxqqGuTAAECBAgQIECAAAECBAgQIEBgzgICrDlTOZEA\nAQIECBAgQIAAAQIECBAgQKAaAgKsaqhrkwABAgQIECBAgAABAgQIECBAYM4CAqw5UzmRAAEC\nBAgQIECAAAECBAgQIECgGgICrGqoa5MAAQIECBAgQIAAAQIECBAgQGDOAgKsOVM5kQABAgQI\nECBAgAABAgQIECBAoBoCLdVoVJsECBAgQIAAAQIECBCopsB9j7fFrQ+2x4be5ljeNRbPOWQw\njth3uOxdWrduXfzl31wRd9x1TwwM9Mfqg4+KV7/y/HjzBS+Yte3x8fH4zOeuiWu+8s1Y//Da\nWNSzbxx97Ilx0f/31th3Zfes5Z1AgACBehYQYNXz7Ok7AQIECBAgQIAAAQJ7JTCej7jyB0vi\n5gc6IpeUHM/nIpfLxw/v60xCrIH4zbO2RVN6oAzb9dd/M37nd9+StJmP5QedGa1LDox7bvte\n/OmNX4x/+/f/Ff/22b9K+jJ1w6Ojo3Hey18bd/zkpujsOSh6Vp8e27aui2u/cFn853XXxMf/\n4TPx4l85ZurC9hIgQCADAgKsDEyiIRAgQIAAAQIECBAgMDeBb961MG5Z2xH5JLhKsqzCNvH1\nfz/UESsXj8VLTuibW2V7cdamTZviwne+O5paO+PMN38zCaBOKZQeHtgat1z5qvjxdz4df/6R\ns+ID73zJlLVe8uHLCuHVgSe9KU54xSeiqbm1cN6jP/23uOXzr4o//MM/iOfd+I1YvNBLvCkB\n7SRAoO4F3AOr7qfQAAgQIECAAAECBAgQmIvA2HjEN+7sirHxqZc5pfuvv6srRsfmUtvenXPl\n56+Kvu2bYs3Z73s6vEpraOvojhOTQCrX1BJX/8uHk77tWW966eA//P3Ho23h8jjuvI8+HV6l\nZ+539MvjwBN/M7Y9cU987NPf2bOwPQQIEMiIgAArIxNpGAQIECBAgAABAgQIzCzw+LaWGB6d\nOryaKJmGV49tLf0qpjvvvr/QxD5HvHiiqac/L1x2WCxctiZ6N94bv9w4sS7s6cOxfv36GB4a\niGXJZYctC7qeOfDUV/sc8euFr+68+949jtlBgACBrAgIsLIyk8ZBgAABAgQIECBAgMCMAsmt\np+a0zfG0OdU1cdK65Kbr6dax5ICJXbt9Tvfnx8fisccf3W1/+mDt2lnKdu+sc+uGh/coawcB\nAgSyIiDAyspMGgcBAgQIECBAgAABAjMKrFoyGq3NM54SzckrpH2T80q97bOyp1Dl8MDmKase\n7t9Y2H/Ivu17HF+6dGlh38jApj2OpTuGduwsu2Jp55TH7SRAgEAWBARYWZhFYyBAgAABAgQI\nECBAYFaBliS8etExfdHSNPUaq3T/C47ui9bSX0EYhx16SKF/fU/csUc/R4f7Y8em+6Kjc3Es\nX7Yz6Nr1pEMO2Vl2++N3Jrv37Pv2x24vnH7qcfvtWszXBAgQyJSAACtT02kwBAgQIECAAAEC\nBAjMJPCS4/viuAMHoymXj13eh7Dw+JjVg/HSE0v/DoRpf84///xCtx6+8eLIjw0+3Xbahwdu\nvCRGh3rjZeefG01Ne75EW7RoUZxzzjmx7fG744l7vrBbADc2sDHW3vSRaG5ujpedt/NeWDON\n3zECBAjUq0DzB5KtXjvf398f6Tty1NPW1taWvGVvPkZHS78suZ4c9LW8ArlcLrq6knfYGRuL\ngYGB8jam9oYX6OjoiOHh4br7ftzwE1dnAOkLs87OzsJzLX2+2QiUU2DhwoWR/p5py6ZA8mtS\nnHTwYBy0fKSwlqm9JR+H7zMSLzu5N379+B1JkFWece+7777x+OOPxw9v+FaMPfr12HdZshys\nf108cvOH4s7vXBbPec5z4vLLL4/09cJU2wknnBBXXXVVrLvji7F6yZZYkOuPvnXfjFu+8KbY\nsf3JuOKKK+LUU0+dqqh9BKJa39daW1ujvX3Py2JNCYFiBHJJmLLnGtRiaqpCmY0bN8bIyEgV\nWi6+SaFC8XZKzl0gDbBWrVoVQ0NDsXnz1PdZmHttziQws0BPT0/09vYK5mdmcnSeAukvwMuX\nL4++vr7C822e1SlOYEaBFStWxIYNG2Y8x0ECxQikL73+8R//MS699NLYvn17oYqVK1fG85//\n/Lj44osjXWk10/bggw/Ge97znrj55psLfxRPw/3jjz8+3v72t8e55547U1HHGlygWt/X0j90\ndnd3N7i+4ZdKQIBVKsk51iPAmiOU0+YlIMCaF5/CeykgwNpLMKcXJSDAKopNoSIFqvVCr8ju\nKlanAukf4xcsWBBpgLW3K+bTFYJpmHXwwQcXVtbUKYFuV1CgWt/XBFgVnOQGaKoMtydsADVD\nJECAAAECBAgQIECAwDwEDjjggMLKlK1bt+51Lekl1UcfffRel1OAAAEC9Syw5x0C63k0+k6A\nAAECBAgQIECAAAECBAgQIJA5AQFW5qbUgAgQIECAAAECBAgQIECAAAEC2RIQYGVrPo2GAAEC\nBAgQIECAAAECBAgQIJA5AQFW5qbUgAgQIECAAAECBAgQIECAAAEC2RIQYGVrPo2GAAECBAgQ\nIECAAAECBAgQIJA5AQFW5qbUgAgQIECAAAECBAgQIECAAAEC2RIQYGVrPo2GAAECBAgQIECA\nAAECBAgQIJA5AQFW5qbUgAgQIECAAAECBAgQIECAAAEC2RIQYGVrPo2GAAECBAgQIECAAAEC\nBAgQIJA5AQFW5qbUgAgQIECAAAECBAgQIECAAAEC2RIQYGVrPo2GAAECBAgQIECAAAECBAgQ\nIJA5AQFW5qbUgAgQIECAAAECBAgQIECAAAEC2RIQYGVrPo2GAAECBAgQIECAAAECBAgQIJA5\nAQFW5qbUgAgQIECAAAECBAgQIECAAAEC2RIQYGVrPo2GAAECBAgQIECAAAECBAgQIJA5AQFW\n5qbUgAgQIECAAAECBAgQIECAAAEC2RJoydZwjIYAAQIECBAgQIAAAQLlFbjv8ba49vaueGhj\na6Ghg5ePxLkn9MWaVcPlbVjtBAgQaGABAVYDT76hEyBAgAABAgQIECCwdwI3/KIzrr55ceTz\nablcofC9SaB13/VL44LTt8dZR/bvXYXOJkCAAIE5CbiEcE5MTiJAgAABAgQIECBAoNEFHt/a\n/FR4lQZXO8OrnSa5JNDKFY49sa250ZmMnwABAmUREGCVhVWlBAgQIECAAAECBAhkTeAH93ZG\n06651aQBpsduTM6xESBAgEDpBQRYpTdVIwECBAgQIECAAAECGRR4ZEtrjI1Pn2Clxx7ZvPO+\nWBkcviERIECgqgICrKrya5wAAQIECBAgQIAAgXoR6GwbT7pauPnVNF3Ox85zpjlsNwECBAgU\nLSDAKppOQQIECBAgQIAAAQIEGkngmNVD0TLDK6j02LHJOTYCBAgQKL3ADN9+S9+YGgkQIECA\nAAECBAgQIFCvAqcdNhDLF41Gc27PVVjpvvTYqck5NgIECBAovYAAq/SmaiRAgAABAgQIECBA\nIIMCzcmrpz948eY4cPlIcjP3fLQ2jxc+0q/Tfemx9BwbAQIECJReoKX0VaqRAAECBAgQIECA\nAAEC2RRY3DEef3TupnjgydZ4aENbYZCHrBiOQ1eOZHPARkWAAIEaERBg1chE6AYBAgQIECBA\ngAABAvUjcFgSWKUfNgIECBCojIAFrpVx1goBAgQIECBAgAABAgQIECBAgECRAgKsIuEUI0CA\nAAECBAgQIECAAAECBAgQqIyAAKsyzlohQIAAAQIECBAgQIAAAQIECBAoUkCAVSScYgQIECBA\ngAABAgQIECBAgAABApUREGBVxlkrBAgQIECAAAECBAgQIECAAAECRQoIsIqEU4wAAQIECBAg\nQIAAAQIECBAgQKAyAgKsyjhrhQABAgQIECBAgAABAgQIECBAoEgBAVaRcIoRIECAAAECBAgQ\nIECAAAECBAhURkCAVRlnrRAgQIAAAQIECBAgQIAAAQIECBQpIMAqEk4xAgQIECBAgAABAgQI\nECBAgACByggIsCrjrBUCBAgQIECAAAECBAgQIECAAIEiBQRYRcIpRoAAAQIECBAgQIAAAQIE\nCBAgUBkBAVZlnLVCgAABAgQIECBAgAABAgQIECBQpIAAq0g4xQgQIECAAAECBAgQIECAAAEC\nBCojIMCqjLNWCBAgQIAAAQIECBAgQIAAAQIEihQQYBUJpxgBAgQIECBAgAABAgQIECBAgEBl\nBARYlXHWCgECBAgQIECAAAECBAgQIECAQJECLUWWK0mxO++8Mx577LEp6zrzzDNj4cKFUx6z\nkwABAgQIECBAoPYExsfH4+qrr47rvnFd3PvAvbF05bI47aRT452//87o6empvQ7rEQECBAgQ\nIFA3AlUNsL73ve/F97///d2went7o7+/P770pS8JsHaT8YAAAQIECBAgULsCo6Oj8ZrXvCZ+\n9KMfRcvKtmg5oj0e37Ax7rji9vjcF66Mz3/683HqSafU7gD0jAABAgQIEKhpgaoGWO94xzsi\n/ZjY0uDqTW96U5x33nmxzz77TOz2mQABAgQIECBAoMYFLrvsskJ41fmCnuj63/tGriVX6PHg\nzdtj24ceif/5e2+MO//r9mhva6/xkegeAQIECBAgUIsCNXUPrI9//OPR0dERb3nLW2rRSp8I\nECBAgAABAgSmEEgvHfzY5R+L3OLmWPi7+zwdXqWntp++ONp/pTv6Ht4ef/Wl/zdFabsIECBA\ngAABArMLVHUF1q7du+222+KrX/1qfPKTn4y2trZdDxW+fuSRR+Kmm27abf/JJ58cy5Yt221f\nrT9obW2N5ubmWu+m/mVEoKmpqRAKZ2Q4hlGjAun3tPb29hgbG6vRHupWFgQmfna2tLT4vlaD\nE/rwww/H0OBQdBy/JJo69vw9Z8HJXTH4na3xX3feEB2/3VGDI9i9S7lczvNsdxKPyiAw8Zpn\n4nMZmlAlgacFqvV9LX09YiNQKoGaCbCuueaaOOmkk+KII46Ycmx33313vP/979/t2L/8y7/E\nYYcdttu+ennQ2dlZL13VzzoWSAPT7u7uOh6BrteLQPpcsxGohEAalqYfttoSuOWWW3Z2aPme\n4VV6oGn5zu8Rmx/dVDc/l/z8rK3nWJZ7k74u8NogyzNcO2Orxve1HTt21A6AntS9QE0EWBs3\nbiysrrroooumBT322GPjL//yL3c7vmrVqti6detu+2r9wYIFCyKfz8fw8HCtd1X/6lwg/QE1\nMjISfmjU+UTWQffTd4wdHBy0AqsO5qqeu5iuwFq0aFHhuZY+32y1JZD+fpNuub78lB3Lb9+5\nQnNR16K6+N0tfa6lbyxkI1BOgXTlVRpcpfcB9tqgnNLqTgWq9X3NCizPv1IK1ESAde211xYu\nBTzjjDOmHdvq1avj1a9+9W7H0+BrYGBgt321/iD9BTy9zKbe+l3rrvq3u0C6RDjd0nuSeK7t\nbuNR6QXS1TBpoJC+A5mNQLkE0lV+6S/f6fPM97VyKRdf77777lsoPPxQ/5SVjDy4M3Q8+fCT\n6mL+urq66qKfU2LbWVcCaYCVhle+r9XVtNVlZ6v1fS29x7WNQKkEauKC1PTtls8888xI72th\nI0CAAAECBAgQqC+BNFw855xzYvThoRj5Qd9unR/fnoSO/74pck25eNerLtztmAcECBAgQIAA\ngbkK1ESA9dBDD8Uhhxwy1z47jwABAgQIECBAoMYE0ltBpH9p3/rhR2LoM5ti6JbeGPiPzbH5\nXWsj35e8S+HHPxYHH3RwjfVadwgQIECAAIF6Eah6gLVly5bCPQYOPfTQejHTTwIECBAgQIAA\ngUkC6e9y3/72t+O0U0+Lbf/6RGz9y3XR909PxrEHHB2f+IdPxCvOf8WkEh4SIECAAAECBOYu\nUPVr9np6euKGG26Ye4+dSYAAAQIECBAgUJMC6Yr6L3/5y4WbUj/44INx8MEHR/pGDzYCBAgQ\nIECAwHwFqh5gzXcAyhMgQIAAAQIECNSWQHpj6qOPPrq2OqU3BAgQIECAQF0LVP0SwrrW03kC\nBAgQIECAAAECBAgQIECAAIGyCwiwyk6sAQIECBAgQIAAAQIECBAgQIAAgfkICLDmo6csAQIE\nCBAgQIAAAQIECBAgQIBA2QUEWGUn1gABAgQIECBAgAABAgQIECBAgMB8BARY89FTlgABAgQI\nECBAgAABAgQIECBAoOwCAqyyE2uAAAECBAgQIECAAAECBAgQIEBgPgICrPnoKUuAAAECBAgQ\nIECAAAECBAgQIFB2AQFW2Yk1QIAAAQIECBAgQIAAAQIECBAgMB8BAdZ89JQlQIAAAQIECBAg\nQIAAAQIECBAou4AAq+zEGiBAgAABAgQIECBAgAABAgQIEJiPgABrPnrKEiBAgAABAgQIECBA\ngAABAgQIlF1AgFV2Yg0QIECAAAECBAgQIECAAAECBAjMR0CANR89ZQkQIECAAAECBAgQIECA\nAAECBMouIMAqO7EGCBAgQIAAAQIECBAgQIAAAQIE5iMgwJqPnrIECBAgQIAAAQIECBAgQIAA\nAQJlFxBglZ1YAwQIECBAgAABAgQIECBAgAABAvMRaJlPYWUJECBAgAABAgQI1JLAT3f8Im7r\nvTtG86PxrM41ceriE6IpV96/2Y6Pj8fVV18dX/naN+OBtWuje9m+ccLxJ8Sf/fHbYunSnlri\nmbIvO4Zycfcj7bGlvykWd4zHMauHCp+nPLnGdj7wRGus3dAWkY84eMVIrFk1XGM91B0CBAgQ\nKJWAAKtUkuohQIAAAQIECBComkDvaF/80QN/ET/efnu05lrSPCPG82NxQPv+8ZE1F8fq9n3L\n0rfR0dF41at/I358y83R2X1QLDvwtNiwZV1c/ZmPxtf+7YvxyU9+Kp5/xnFlabsUld58f0dc\nddOSpKp85PO5yOXycVXy+RUnb49zju4vRRNlqWP7QFP8w3d64uGNrdHclM52xNh4LlYvHYm3\nvWBLdHeOl6VdlRIgQIBA9QTK++eo6o1LywQIECBAgAABAg0ikM/n48J7/zR+0ntnjCf/hvLD\nMZx8jMZYrBtcH2/++R/EjrHyhDF/93eXFcKrg05+U7zw3ffFyRdcE2e97aY49Q1fif7eJ+Pt\nF74r+vpHa3Im7npkQXz2B0tiZCyXfDTFaBIApZ/TIOhfb10cP7yvoyb7PZZkU5ddvzTWJeHV\neBK2pX1OP9Kv129ujb+9blmMjtVk13WKAAECBOYhIMCaB56iBAgQIECAAAEC1Re4cdst8dP+\ne2MkuWxw8jaWBFrbR3vjmie/NvnQvB+nlw5efvnHo23h8jj2pR+NpubWp+vc7+iXx4En/mZs\nffye+MinvvP0/lr64pqbFxdWXU3VpzQM+vIti5Mwa6qj1d1369qO2LC9JcaSPk7e0n5v2dEc\nN9/fOfmQxwQIECBQ5wICrDqfQN0nQIAAAQIECDS6wA+33Zqsvpk+aRnOj8T3tvyg5Ezr16+P\noaGBWHbQGdGyoGuP+vc54tcL+2694949jlV7x5YdTbF5x8x3ExkcycUvt8x8TjXGcff6Bclq\nselbTleS3ZmsLrMRIECAQLYEBFjZmk+jIUCAAAECBAg0nEDfWF/h0sGZBl6OSwjXJjdsT7eO\nJQdO2XRH9wGF/VueXDfl8WruHByZ/WVAU3LKXM6r9Dj6h9OVV3uuvtq1H2n4ZiNAgACBbAnM\n/pMrW+M1GgIECBAgQIAAgYwJHN5xSLTlkneim2ZrSsKOIzsPn+Zo8buXLl1aKDwysGnKSoZ2\nbCzs71lSe5ezLesaffrm51N2PtmZXj64asmel2VOd36l9h+wbOa+Nyc3oj8guZm7jQABAgSy\nJSDAytZ8Gg0BAgQIECBAoOEEXrr8RcmYd74T3dSDz8Vr93nZ1IfmsfeQQw4plN72+J1T1rL9\nsTsK+085bv8pj1dzZ1tyZeDph/VHy1Pv4De5L+k7+x27eigWd8xwrd7kQhV6fMaa/uTeXdM3\nlvb4zCMHpj/BEQIECBCoSwEBVl1Om04TIECAAAECBAhMCCxr7YkPHvon0RxNhX8T+9PP6b63\n7/+bcXzXUbvuLsnXixYtinPOOSe2P353PHr3FyKXrPyZ2Ib7N8YDN10WTU3N8YZX/4+J3TX1\n+VWn9sbKZIXV5BArfdzdORb/88xtNdXfic6sWDwWr3/etmhKvHO7BZfJ42Tfa0/bHvt2197K\nsYn++0yAAAECxQnU3l0ZixuHUgQIECBAgAABAg0s8IKlZ8XnFlwef//op+O/e+9K3qFuLJ6V\nXDb4O/u9Pp635JSyyVx00UVx0003xX9f8/po3vqjaNnn7Nix5ZG4/4ZLYnRgc1xxxRVx4IFT\n3yOrbJ2aY8Xtrfn443M3xn/+dGH88L7O2D7QHF3tY3HqoQPxa8fuiI62ZwK5OVZZsdOet2ag\ncHnjtbcvigc3tBZirIOXjcRLTuiLNauGK9YPDREgQIBA5QRy+WSrXHOlbWnjxo0xMlJf17d3\ndXXF2NhYDAxY1lzaZ4PadhXI5XKxatWq5J2RhmLz5s27HvI1gZIL9PT0RG9vb4yO+mt3yXFV\n+LRAa2trLF++PPr6+grPt6cP+IJAGQRWrFgRGzZsmHPNDz74YLznPe+Jm2++Obm0LR/Nzc1x\n/PHHx9vf/vY499xz51yPExtLoKOjI7q7u2Pr1q1eGzTW1FdltHv7fa1UnZx4npeqPvU0toAV\nWI09/0ZPgAABAgQIECAwT4H0Xlhf/vKXo7+/P9Iw6+CDD46FCxfOs1bFCRAgQIAAgV0FBFi7\naviaAAECBAgQIECAQJECnZ2dcfTRRxdZWjECBAgQIEBgJgE3cZ9JxzECBAgQIECAAAECBAgQ\nIECAAIGqCwiwqj4FOkCAAAECBAgQIECAAAECBAgQIDCTgABrJh3HCBAgQIAAAQIECBAgQIAA\nAQIEqi4gwKr6FOgAAQIECBAgQIAAAQIECBAgQIDATAICrJl0HCNAgAABAgQIECCilwaTAABA\nAElEQVRAgAABAgQIEKi6gACr6lOgAwQIECBAgAABAgQIECBAgAABAjMJCLBm0nGMAAECBAgQ\nIECAAAECBAgQIECg6gICrKpPgQ4QIECAAAECBAgQIECAAAECBAjMJCDAmknHMQIECBAgQIAA\nAQIECBAgQIAAgaoLCLCqPgU6QIAAAQIECBAgQIAAAQIECBAgMJOAAGsmHccIECBAgAABAgQI\nECBAgAABAgSqLiDAqvoU6AABAgQIECBAgAABAgQIECBAgMBMAgKsmXQcI0CAAAECBAgQIECA\nAAECBAgQqLqAAKvqU6ADBAgQIECAAAECBAgQIECAAAECMwkIsGbScYwAAQIECBAgQIAAAQIE\nCBAgQKDqAgKsqk+BDhAgQIAAAQIECBAgQIAAAQIECMwk0DLTQccIECBAgAABAgQIVFLg1u13\nxFc3fiMeGlwfK1uXxa8t/ZV40dKzoynn766VnIe5ttU3mIvv/3xh/OLxtsjnIw7fZzie/6z+\nWNI5Ptcq6vK83oGm+K+fd8a9ybjT7YhVO8e9qCPb467LydJpAgQyIyDAysxUGggBAgQIECBA\noL4FLn7o7+IrG65LBpGP8eQj3W7Y9qO45smvxeVHfDA6mtsL+/ynNgQefLI1PvKtpTE2lovR\n8VyhUw9taIv//GlXvP0Fm+NZ+w3XRkdL3Iv7ktDq8m/3xHgy5l3H/e2fLozfe+GWWJOEWTYC\nBAgQKL2AP2WV3lSNBAgQIECAAAECeylwzRNfi69tvD4JrtJ/O8OrtIqR/GjcvePn8VcPf2Qv\na3R6OQX6h3LxsSS8Ghp5JsRJ20sDnZEk0LriP5fG1v7svdToHWwqhFfDo3uOO92XBlvpqjQb\nAQIECJReIHs/VUpvpEYCBAgQIECAAIEyC3zi0c8WwqqpmhnJj8TXN30rNo9smeqwfVUQ+OH9\nnTFSWHU1dViTXk74/eQSu6xtN/6is7DyKmKqcecKx268N3vjzto8Gg8BAvUpIMCqz3nTawIE\nCBAgQIBAZgQ2jmyOzaNbZxxPW6417tlx34znOFg5gbVPtMZostJqui1diZVeape17f503IXg\nbuqRZXXcU4/WXgIECFRWQIBVWW+tESBAgAABAgQITBJomnI1y+4npRcVNuWmD0x2P9ujcgvM\nZSrmck65+1nq+ucypiZP01Kzq48AAQIFAQGWJwIBAgQIECBAgEBVBZa29sSK5B0HZ9pGk3th\nHb3wyJlOcayCAumNyluanrlX2eSm02NH7pu9m5kfmY67eeZxp+9IaCNAgACB0gsIsEpvqkYC\nBAgQIECAAIG9FPj91W+OllzzlKVak8sHX7PyvFjSsnjK43ZWXuD0wweivW08aXiqMCcfzUmA\n9fxn7ah8x8rc4hlH9EdrIcCaetytLflIz7ERIECAQOkFBFilN1UjAQIECBAgQIDAXgqcv/x/\nxBv3eU1yMWEuWmJnkJVeWtic/Hvu4pPiPQe8bS9rdHo5Bdpb8/GOX9scXe3ju61ISldepccu\nLBybKuQpZ6/KX3fngp3j7mzL7z7uJNRK96Um6Tk2AgQIECi9QEvpq1QjAQIECBAgQIAAgb0X\neMcBvx0vWnp2XLvp2/HQ4PpYmVxW+MKlZ8Xzlpyy95UpUXaB1UtH46JXbYib7uuI+59oi/Ek\ntzls5Ug8b01/pkOcg5aPxF+8+smnx51CH77PcDx3zUB0JCGWjQABAgTKIyDAKo+rWgkQIECA\nAAECBIoQePbCNZF+2OpDIF1t9atH9Rc+6qPHpellGlSdc3R/4aM0NaqFAAECBGYTcAnhbEKO\nEyBAgAABAgQIECBAgAABAgQIVFVAgFVVfo0TIECAAAECBAgQIECAAAECBAjMJiDAmk3IcQIE\nCBAgQIAAAQIECBAgQIAAgaoKCLCqyq9xAgQIECBAgAABAgQIECBAgACB2QQEWLMJOU6AAAEC\nBAgQIECAAAECBAgQIFBVAQFWVfk1ToAAAQIECBAgQIAAAQIECBAgMJuAAGs2IccJECBAgAAB\nAgQIECBAgAABAgSqKiDAqiq/xgkQIECAAAECBAgQIECAAAECBGYTEGDNJuQ4AQIECBAgQIAA\nAQIECBAgQIBAVQUEWFXl1zgBAgQIECBAgAABAgQIECBAgMBsAgKs2YQcJ0CAAAECBAgQIECA\nAAECBAgQqKqAAKuq/BonQIAAAQIECBAgQIAAAQIECBCYTUCANZuQ4wQIECBAgAABAgQIECBA\ngAABAlUVEGBVlV/jBAgQIECAAAECBAgQIECAAAECswkIsGYTcpwAAQIECBAgQIAAAQIECBAg\nQKCqAgKsqvJrnAABAgQIECBAgAABAgQIECBAYDYBAdZsQo4TIECAAAECBAgQIECAAAECBAhU\nVUCAVVV+jRMgQIAAAQIEZhYYz4/PfEINH83n8zXcu+m7Vk3z8fokmx5zjkfmM+7x5H+R9KPY\nbT5tF9umcgQIECCw9wIte19ECQIECBAgQIAAgXIKDI0Pxz8/dlV8ecO1sWlkS3Q0tcev9pwR\nF+7/W7FqwcpyNj3vum/vvTs+uv6f484d98RYEr4d0n5A/PZ+b4iXLDtn3nWXs4L+sYH4x0ev\njK9u/EZsGd0WC5s644VLz47fX/3mWN66tJxNx+BILv7j9q64+f6O6BtqivbWfJx88ECcf1Jf\nLOqYRzJT1l7Pv/KB4Vz8+21dccvaztiRjLujbTyec8hAnHdib3S1z57kXXfHwrj+rq4YHs0V\nOtPanI8XHrMjKd83a+f6h5K2E/NbHuiM/uGm6EzaPuXQgXhp0vbCBbO3PWsDTiBAgACBkgvk\nkr+M1e136I0bN8bIyEjJUcpZYVdXV4yNjcXAwEA5m1F3gwvkcrlYtWpVDA0NxebNmxtcw/DL\nLdDT0xO9vb0xOjpa7qbU38ACra2tsXz58ujr6ys837JMMTg+FG/+2R/EAwMPx0j+md9zWnIt\n0d60ID7z7I/EIR0H1iTBf2z6Trx/7Yci/9S/iU625JrjN1aeH3904P+e2FVTn/vGdsQb77kw\nfjn0+G7mrYl5Z3NnfP6oy2O/BavK0uc0xPnQvy+PzX3NMTq+M4hJG2puyhdClfe+dGMs7cpe\niNU3uHPc2/r3HHfXgvF433kbY0nn9OP+h+90xx3r2p+akwm3nS9rnr3fUFz4a1umna/ewab4\n668vi96B3dtuScy72ne2vbgCwWFHR0d0d3fH1q1bvTaYdrYcKJXAihUrYsOGDaWqbs71TDzP\n51zAiQRmEHAJ4Qw4DhEgQIAAAQIEKi3w8V9+eo/wKu3DaH400lVCf/TAX1S6S3Nq78nhjfGB\nBy+J8eRfGmDtuo3mx+KaJ74aN237711318zXf/vIJ5Lw6rHdwqu0cyOJed/ojviTB/6qbH39\n4i2LY9Ok8CptbCwJs9JVSZ+6obtsbVez4qtvXhJbJ4VXE+NOV6F99sYl03bvzkcWPBVepcHV\nRHiVnr7z8c8eXRC3rl0wbfnP/3BxbJ8UXqUnpwFi70BTXPmD6duetlIHCBAgQKDsAgKsshNr\ngAABAgQIECAwN4F0Yfy/PnntHkHKROk0HFqbrMz6Rf/9E7tq5vM3Nn83iQ+m/9Uy7fsXn/xa\nzfR3oiMj4yPx9Y3fKoRVE/t2/TwWY4XLIdcPPrbr7pJ8PZIsXP3x2o5CWDVVheP5XNz/RFuy\nOmt616nK1fq+9JLJ2x5un3bcaXh3TxJCpWHSVFt6ueVs23V3LprylPTSwTuTlVtpG1NtY4n5\nXesXRLpCzEaAAAECtSUw9U+F2uqj3hAgQIAAAQIEGkJg21hv7Bjvn3GsC5ra4uHB9TOeU42D\nDw6si+H88LRNp2uy7h94aNrj1Trw5EhyS4pdLtWcqh9tudZ4aPCRqQ7Na9+WZAXSdEHKRMUt\nyW/rT27P1m1rN/Y2x2w3MWlK8qMntzdPMOz2OV2xtvvKq90OF45t2TF12Y29s1smd2KIDXM4\nb3KrHhMgQIBAeQUEWOX1VTsBAgQIECBAYM4CncnN2nO7XRK1Z9Gx5HK8Rc2zr0DZs2R59yxu\nWRTpva5m2tJzam3ral44a5cK5i2lN+9IbtY+2zaWnNLRNvt5s9VTS8fTG6bPHEAl7yo4w7gX\ntKQeM5nko61l6vtnpTeKz8/y/1garu3sYy2p6QsBAgQICLA8BwgQIECAAAECNSLQlqyuOrHr\nmORCvOl/RUuPndB1dI30+JlunLXktBlX1aSrmF7Yc9YzBWrkqyUti+OIjkNn7E1Hc3sc1XnE\njOcUczB9h8F9u9Mb9U8fxqQh1wFLn7mZfzHt1FqZ9Kb0y7vSN/6YftyLkpup79s99ZuDHHfg\n4KxDOmb10JTnrFg8Fj0Lx6Y8NrGzO7l5/D5LZj5n4lyfCRAgQKByAtP/dlS5PmiJAAECBAgQ\nIEDgKYH0nfqa0muYptjSFU7vXP270dHcMcXR6u56zuLj4/QlJ0drElRN3pqjOZa29sRrk3ci\nrMXtTw66MOnh1L8Wp33/4wN/P1qbZr/0rJixvfb07cl8T12yKZeP156+LZqm7trUhepk7wXP\nTcY1w7gveO72mOZ/g3jlKb3R1pyGX1MFYPlI303wN07bPq3E65K2c4ntVFu6/4LE3EaAAAEC\ntSeQwR+HtYesRwQIECBAgACBuQo8a+Hh8fEj/jp6WrqTS/Jaor1pQbTl2pJgqCXesf/vxOtW\nvXyuVVX8vEsOe3+c03NG4TLItN/tuQWF1WRHdh4Wn3r239Vk8JYinbDomPjbNRfF4uZFBeeO\n5FLO1Dz9SMOt85a/qGyWR6wajrecsyW5THA8mpPgpbV5vBDAtCYBTRq0nHLo7KuNyta5MlZ8\n1P7D8dvP3xrtrRPj3fk5vfTvjWduixMPmn7c6X3B/uzlG6JrQXqZ4ESQtfNzeunfn75sQ3IJ\n4fSdT1dn/dbZW2NB0lYadk2Yp4/fdNbWOO7AqVdvTV+jIwQIECBQCYFc8m43U//5oRKtz7ON\njRuTm26O1NeS6q6urhgbG4uBgYF5jl5xAtML5JI/Wa5atSqGhoZi8+bN05/oCIESCPT09ERv\nb2+Mjk59qUcJmlAFgWhtbY3ly5dHX19f4fnWCCTpu+Pd0nt7pO9+19O6OE5bfFKkl7vVw7Zu\n8JdxW+9dhXf2e1bnmjim68h66HYMjQ/HLdtvi+2tfdE21BqnJ+aLynDvq6kwhpNvob94bEHy\njoPNsTi5tPBZ+w1l7t5XU417KHlHwl881hbpTdeXdI4l4x5OQq25vzy54+EFcXvyroLpK5pj\nDxiMkw+Ze/iUtv3zpO2tRbY91Xj2Zl9HR0d0d3fH1q1bvTbYGzjnFiWwYsWK2LBhQ1Fl51No\n4nk+nzqUJTAhMMPfJiZO8ZkAAQIECBAgQKDSAq1NrXHGklMillS65fm3d2D7/pF+1NuWvsPj\nWd2nRTVe6KUrho49YO7hS73ZTtffBUlYNZ8VT8cfNBTpRzFb2vbxVlsVQ6cMAQIEqiLgEsKq\nsGuUAAECBAgQIECAAAECBAgQIEBgrgICrLlKOY8AAQIECBAgQIAAAQIECBAgQKAqAgKsqrBr\nlAABAgQIECBAgAABAgQIECBAYK4CAqy5SjmPAAECBAgQIECAAAECBAgQIECgKgICrKqwa5QA\nAQIECBAgQIAAAQIECBAgQGCuAgKsuUo5jwABAgQIECBAgAABAgQIECBAoCoCAqyqsGuUAAEC\nBAgQIECAAAECBAgQIEBgrgICrLlKOY8AAQIECBAgQIAAAQIECBAgQKAqAgKsqrBrlAABAgQI\nECBAgAABAgQIECBAYK4CAqy5SjmPAAECBAgQIECAAAECBAgQIECgKgICrKqwa5QAAQIECBAg\nQIAAAQIECBAgQGCuAgKsuUo5jwABAgQIECBAgAABAgQIECBAoCoCAqyqsGuUAAECBAgQIECA\nAAECBAgQIEBgrgICrLlKOY8AAQIECBAgQIAAAQIECBAgQKAqAgKsqrBrlAABAgQIECBAgAAB\nAgQIECBAYK4CAqy5SjmPAAECBAgQIECAAAECBAgQIECgKgICrKqwa5QAAQIECBAgQIAAAQIE\nCBAgQGCuAi1zPdF5BAgQIECAAAEClRX45dBj8cjgY9HTujiO6DgscrlcxTqwPml3fdJ+T+uS\npO1DK9p2xQapIQIECBAgQKBuBARYdTNVOkqAAAECBAg0isDDg+vjT9f+dfx0xy+iNdcao/nR\nWNraHf/n4HfF2d2nl5Vh7cDD8WdrPxQ/67/v6baXtfbE/z343XFm96llbVvlBAgQIECAAIHp\nBFxCOJ2M/QQIECBAgACBKgg8OvR4vOGnvxc/23FfofWR/Ejkk3+bRrbEH973f+M7W24sW6/S\nVVdvvOfC+EX/A7u1vXFkc7zzvvfHf225qWxtq5gAAQIECBAgMJOAAGsmHccIECBAgAABAhUW\nuGTdFTE4PhTjyb/JW7rvzx+8NEbGRyYfKsnjv1l3eQyND0/f9kMfTlaDjZWkLZUQIECAAAEC\nBPZGQIC1N1rOJUCAAAECBAiUUSANh27c9qMYS/5Nt/WP9ccdffdMd7jo/cNJcPWDbT+ese3t\no71xd9/Pim5DQQIECBAgQIBAsQICrGLllCNAgAABAgQIlFigd7Rv1hVOLU0thcsJS9x0bEvC\nqalWfe3aTkuuJTYmlzLaCBAgQIAAAQKVFhBgVVpcewQIECBAgACBaQQWt3RFW3LT9pm29PLB\nVQtWznRKUce6W5YkN22f+f19RpKbye9bhraL6rBCBAgQIECAQEMJCLAaaroNlgABAgQIEKhl\ngeZcc/za0l+ZMUha1ro0jll4ZMmH0Zqs7Hphz1mRrrKabtunbXkc1XnEdIftJ0CAAAECBAiU\nTUCAVTZaFRMgQIAAAQIE9l7gDw94S6SroSYHSbnIRXPy74OH/UmkQVc5tncf+PZY0rxoyrbT\n/nzw0D+JXC5XjqbVSYAAAQIECBCYUUCANSOPgwQIECBAgACBygosbe2Oq46+In6l+3nRlPyb\n2J7VeXh86tmXxcmLjpvYVfLPy1p74upj/j7OXnLabm0/u3NNfDpp+4RFx5S8TRUSIECAAAEC\nBOYiMP0a8bmUdg4BAgQIECBAgEDJBdIg6ZLD3x8DYwPxxPDGWNKyOHpal5S8nakqXJ5covjh\nNR94uu3upN3upH0bAQIECBAgQKCaAgKsauprmwABAgQIECAwg0BHc0cc3HHADGeU71A12y7f\nqNRMgAABAgQI1KvAM+vS63UE+k2AAAECBAgQIECAAAECBAgQIJBpAQFWpqfX4AgQIECAAAEC\nBAgQIECAAAEC9S8gwKr/OTQCAgQIECBAgAABAgQIECBAgECmBQRYmZ5egyNAgAABAgQIECBA\ngAABAgQI1L+AAKv+59AICBAgQIAAAQIECBAgQIAAAQKZFhBgZXp6DY4AAQIECBAgQIAAAQIE\nCBAgUP8CAqz6n0MjIECAAAECBAgQIECAAAECBAhkWkCAlenpNTgCBAgQIECAAAECBAgQIECA\nQP0LCLDqfw6NgAABAgQIECBAgAABAgQIECCQaQEBVqan1+AIECBAgAABAgQIECBAgAABAvUv\nIMCq/zk0AgIECBAgQIAAAQIECBAgQIBApgUEWJmeXoMjQIAAAQIECBAgQIAAAQIECNS/gACr\n/ufQCAgQIECAAAECBAgQIECAAAECmRYQYGV6eg2OAAECBAgQIECAAAECBAgQIFD/AgKs+p9D\nIyBAgAABAgQIECBAgAABAgQIZFpAgJXp6TU4AgQIECBAgAABAgQIECBAgED9Cwiw6n8OjYAA\nAQIECBAgQIAAAQIECBAgkGmBlkyPzuAIECBAgAABAgT2WmDzyNb47pYfxC+HHo+e1iVxdvfp\ncVD76r2up1EKjI+Px9VXXx1f+rdvxoMPPhhLlq6K444/If7Pe98Wy5f1zIlhW39T3LGuPTb3\nNcfijrE47sChWL5obE5lq3lSPh/xs0fbYu2TbZF8GQcvH4mj9x+Kphr/M/m6devi0r+7PP77\n9nuiv39HHHToUfGGC14Wrzr/RdXk1DYBAgQIzCAgwJoBxyECBAgQIECAQKMJXLvx23HRQ5dG\nLvk3lvxrTv797SOfiDfs88p41wFvjVwu12gkM453dHQ0Xvmq34hbf3xzdHYfFEsPPC02bl0X\nX/rcR+Par30xPvFPn/r/2bsP+Car9Q/gv6zuPaDsvVVkKwIiw4mIoiLiwIXjXsdVceC8gnvg\nQq4D90AF+XtFLqCoICACCiIbWQJS6KC7TbP+73NqSkfSNm2SJs3v9FPavOOc837f0CZPz3kO\nRg45qcY6Vu6Iwqc/x0Gv0drsgEHvwPz1cTj7xAKc37egxnMbc2dOoR6vfZuEwzlG7XkBFcCS\n/iTH2PCPUdlIjQvMANzSpUtx/Q1TNGsHUtsPgTG2HTas+xFrfvgCny+4EnPfeboxWdk2BShA\nAQq4EWAAyw0MN1OAAhSgAAUoQIFQE1iT+yse3vss7NqHs1i1IJaUT49+iRhDNG5sdaVzF79q\nAi+++JIKXrXrNxm9x70BvcGkXP7a8n9Y+/F4/PPWO/HzysWIi3b9snvj/nDMXRMHu0MChmXF\nbisLEi7dHIPoCDtG9Cz6e0/gfJFA24tLkpGVb4BN63t59ErrYqa2bebiZDxyYQbCTTIuK3BK\nVlYWbrv9LuiMURh2zVIkth6gOldanIO1H43HiiUf4OnZw3DvzecFTqfZEwpQgAIUUAIBPriX\nd4kCFKAABShAAQpQwF8Czx+YXSl4VbFdi8OKtw5/jAJbYcXNIf29TB2cNes1hEWn4MQxr5QH\nrwSlZa9xaNvnKuQe2YqX3vnOrdO8tWXBK1cH2Ow6/PfXWFickS1XBzXStnV7ItV0RxW8qtIH\nCcYVlOixaldklT2N//CTTz5BXm4Wugy7rzx4Jb0Ki0xAnwvfgE5vxDtvvKAFFBu/r+wBBShA\nAQpUFnD9p6DKxwTsI4PBEHTD2J19DgsLC1hXdqzpCMg0Dz7Xms79DNQr0WuJTkwmk5bvhH8T\nCdR71BT6ZTSWvWSR36P8ueabO1poLcIfxftqrFymFW4t2YUhiQNrPC7Yd9b19+f+/fthNhej\nRaczYQyPqXbZzbuegz9/fRcbf9+lPW/HVNufU6hDdmHNL8et2mis9LwodGpurXZ+Y27Ynh4B\n6/GBetW6YtWCb1sPReLskwOr35u37VZ9bd717Gp9jk7uhOjkLsjP2Il0bVpk++a+/b3m/Lkm\nX/lzrdrt4AYvC9T155qXmw269+vevn7W512Bmn9jerctr9cmP+zlhWwwFXmTJ3+t4xu9YLpr\nwdtX+f8RGRl4f/0MXlH23JWA/DwLDw+HQzL5slDARwLO35vyu58/13yDXFhaXGvFBp0eDqOj\nyd8DeaNXl+fZwYMHlVlkfFuXdpEJbdT2Yxn7XdaXay6bKujy5L83Sl4s6MO188umJtZ0rD/3\nWW3yNqLm/ltsgfc6ZP++vYopMr7s3lQ1k+0FGdtwNCMLPdq7vq9Vz6nvY+f7GP4RqL6CPM8T\ngbr+XPOkzroca7MF4BDSunScxwSkQFAHsMxmMywWS0DCuutUTEwM5D9xcXHtLxLd1cHtFKhN\nQH5BRUVFQRLL5ubm1nY491OgQQKJiYkoKChQz7cGVcSTKVCDgLzBi4iI0Ea7mJGfn1/DkdxV\nXwGjQ49YLcdVfg1TBEvsZrR0NG/yv1tkNExdfn9K8F6KpTjLJbu5MFNtT4yPcllfmBb3Nxki\ntCmC7gNBMsopzpSrnV/DcCeXrft2Y4v4GBj1MdooLNd9l0T0rRJLtH7n+bYjHtaekhSvzigt\nzkZYVFK1s0uLyu6ZJKCvy3OgWgUebJAgqTyH5H0B3xt4AMdD6yVQ159r9aq8hpPq8seAGk7n\nLgpUEvDtuNhKTfEBBShAAQpQgAIUoECgCsgfPyY1Hw+TzvVIH6POiP6xvdEmomWgXoLf+9Wh\nQwfVZl76Jpdt5x3+TW0feFIrl/sN2ivxYd0LtUCQ6xGsEgQ6qY0Z8VGBFbySixncpahi3vZq\n1yc5pIZ1C7x8aZ06ld2zgiNl96Zix62lRSjM2oXwyDi0aJZQcRe/pwAFKECBABBgACsAbgK7\nQAEKUIACFKAABQJB4LqWl6Nf7IlaEKvyIP0wLaiVakrCEx3vD4RuBkwfYmNjMWLECOSmb8bh\nzZ9BrzseiJKRPLt/eklLG2HAxPFnue3z2D75aJtiqRbEkqBWcowNVw7JcXtuY+5IjLbj2mE5\n6porXrdOM5DPSYNzkZYQeFOHxo4dq9h2L38cOntJJcI9K5+F1ZyPC8aex3QflWT4gAIUoEBg\nCBge1UpgdMXzXhQVFal8Up6f2XhnyNBNyRMjU7tYKOArAfkrOqer+kqX9VYVkKHhpaWlQffz\nuOp18HFgC0iuGJkaLc81+WTxjYBey3F1bvJIpIQlI6M0Cxa7Bc3DUnFxszGY0fFeJJrKpl/5\npvXAqTU6OhryOrMu5eSTT4asbHdg02dIjsiFVcsllrXnW2yYdzVK8o9g9uzZGDjQfdJ7GYU1\nqFMxYsLtyC02QFYeTI6xYniPQlw1NAeRAbzuT4sEK3q3K0GhtuJgoVmPMC0/WveWZq3fuThR\nGzkWiKVFixZIT0/HmpVLUfznQkSF61F0bB/2r34W21a8iH79+mP2a7P8klTdOTW6pKSE7w0C\n8cnSxPrkyc81b16683nuzTpZV+gK6LRgyvE/FQWZQ2ZmJnNgBdk9Y3f9IyABrLS0NJUrJjs7\n2z+NspWQFZAcWJKTiIH5kH0K+OXC5QVwSkqKyrfGHFh+IQ/pRlJTU5GRkVFng7179+Luu+/G\nmjVr1B8qJeDau3dv3HzzzTjvvPPqXA8P9I+AvP1588038cILLyAvryxHl9zz4cOHY8aMGZCR\ndf4o8geghIQE5OTkMAeWP8BDvA1Pf655i8v5PPdWfawntAUqjw8PbQtePQUoQAEKUIACFKAA\nBTwWkFxY8+fPV6O2JJjVvn17yGgHlsAUkD/0TZkyRX3KSpKyOESnTp0Cs7PsFQUoQAEKlAsw\ngFVOwW8oQAEKUIACFKAABShQfwGZ5tqrV6/6V8Az/S7QunVrv7fJBilAAQpQoH4CTOJePzee\nRQEKUIACFKAABShAAQpQgAIUoAAFKOAnAQaw/ATNZihAAQpQgAIUoAAFKEABClCAAhSgAAXq\nJ8AAVv3ceBYFKEABClCAAhSgAAUoQAEKUIACFKCAnwQYwPITNJuhAAUoQAEKUIACFKAABShA\nAQpQgAIUqJ8AA1j1c+NZFKAABShAAQpQgAIUoAAFKEABClCAAn4SYADLT9BshgIUoAAFKEAB\nClCAAhSgAAUoQAEKUKB+Agxg1c+NZ1GAAhSgAAUoQAEKUIACFKAABShAAQr4SYABLD9BsxkK\nUIACFKAABShAAQpQgAIUoAAFKECB+gkwgFU/N55FAQpQgAIUoAAFKEABClCAAhSgAAUo4CcB\nBrD8BM1mKEABClCAAhSgAAUoQAEKUIACFKAABeonwABW/dx4FgUoQAEKUIACFKAABShAAQpQ\ngAIUoICfBBjA8hM0m6EABShAAQpQgAIUoAAFKEABClCAAhSonwADWPVz41kUoAAFKEABClCA\nAhSgAAUoQAEKUIACfhJgAMtP0GyGAhSgAAUoQAEKUIACFKAABShAAQpQoH4CDGDVz41nUYAC\nFKAABShAAQpQgAIUoAAFKEABCvhJgAEsP0GzGQpQgAIUoAAFKEABClCAAhSgAAUoQIH6CRjr\ndxrPogAFKEABClCAAhSoSSDHmodP0hdgVe46mB1mnBjdAxObX4guUR1qOs0r+45ZcvHJkbK2\nSx0Wre3umJR2ETpFtvdK/awksAT+zDLik5/i8dcxIxwOoFmcDeMH5qFHy1KfdzSnUI9lW6Ox\n83A47FrbnZuXYmSvQqTE2mpte9++P3H3o29gx/bNKC0pQFLLEzDirPH4961DYeSf2Wv14wEU\noAAFQk1A59BKsF50ZmYmLBZLUHU/JiYGNpsNxcXFQdVvdja4BHQ6HdLS0mA2m5GdnR1cnWdv\ng04gMTER+fn5sFqtQdd3djh4BEwmE1JSUlBQUKCeb4He8x1FuzFl+90osZshASQpBu3DoX08\n2P4OXJh6js8uYVvhLkzZMRWl9tLyto06gxZccOCRDndhbMqZPmu7qVScmpqKjIyMoLic77dG\n4fO1cX/3Vff317KX96NPKMCF/Qt8dh07DofhtW+TVODKZi9r26Ava/uGM47hpDZmt20v+t9S\nTJkyRf2fSG43BGGRScjctwKlhRnoOOBaLP1sBqLC3Z7eJHZERkYiISEBOTk5fG/QJO5oYF9E\nY/1ccz7PA1uHvQsWAf5tI1juFPtJAQpQgAIUoEBQCJi1wNE/d05Dvq2wPIAkHbdpH3btY8a+\nFyFBJl8UCZhJ24VV2rY6ytr+997nIcE1lqYhkJmvdxG8kmuTYJIO32yOwa50k08utqBEh9nL\nEmHRBlo5g1fSkHwvn29+n4jsAtdvNbKysnDr7XfDYIrCsBtXYcj132HgpHkYdedOpHQcgT3r\n3sZNj33rk36zUgpQgAIUCF4B179Vgvd62HMKUIACFKAABSjQqALLjv2IPGu+GlniriPvpX/m\nbleDti/NXo4CLXjlbni9hDU+SJ/XoDZ4cuAIfL42/u/OOEdeVe/bvPLRWdX3NWTL6l1R2sir\nskCZq3pkz/Lt0a524YMPP0FxQSa6nH4fElsPKD8mLDIBfS58Azq9ET9//SRyivhWpRyH31CA\nAhSgAPhbgU8CClCAAhSgAAUo4EWBrYU7ISOe3BUZhbWpYJu73Q3avk1r2+JwP51XxmH9VrC1\nQW3w5MAROKDlviobbeWuTzocyfNNytu9GSZYbe4DZ1ZtFNbuo2EuO/bLprJRgM27nl1tf3Ry\nJ0Qnd0FB5k78tpdvVaoBcQMFKECBEBbgb4UQvvm8dApQgAIUoAAFvC9g1Bm1yVvu39hLi5KT\nyhfFoNXbWG374npYZ80CBvU0czferuxcfc1PxZobqGGvoQ7vIpz5sKpWc/hgWQArMr5N1V3q\nsWx32G3Iy/rL5X5upAAFKECB0BSow6+e0IThVVOAAhSgAAUoQIH6CPSNPRGymIa7IgGuQXF9\n3e1u0HZp26Bz//LOpLV9Sly/BrXBkwNHoHNabasMOtA22TcLHnVrUaqtFOg+eCb7erR0ncS9\nZfNEhVha7HqhmdKiTLW/X1ffBHoD5w6yJxSgAAUo4ImA+1c4ntTCYylAAQpQgAIUoAAFlMCQ\n+IHoENEGRm3VQVdFr42RmtziUle7Grzt9IRT0Sa8lVrx0FVlei17xFVpl7jaxW1BKHDJwFwt\nWCoddxVIKts28dQcn1zZoE5FiI6wa+27bjvM6MCwbkUu2+7YsYPannf4t2r7raVFKMzahfDI\nOKQ1Kwt0VTuIGyhAAQpQICQFGMAKydvOi6YABShAAQpQwFcCem0E1Ktdn0DbiNYw6UzlU/rC\ndGGI0kfila6Po1V4C580L1MIX+v2JNpEtKjWdrQ+SvWrRXgzn7TNSv0vEBUO/HN0NsqmCUog\nqeIncNWQXDSPt/ukY2Faaq07zspCfKT975FYZW3LyKsYLbB1u7YvKtxVcAsYO3as6tPelTNg\ns5b83W/Z5MAfPz4LqzkfF15wHvR6vlVRUPyHAhSgAAWUgM6hlWC1yMzMhMXim2HRvjKJiYmB\nzWZDcXGxr5pgvRRQU1fS0tJgNpuRne16eD6ZKOAtgcTEROTn58NqdZ842lttsZ7QFTCZTEhJ\nSUFBQYF6vgWDhE1L5C4rEq7L24gSuxk9ortiTPIoxBljfd59SSK/LFtrO38jSu2l5W3HGmN8\n3nZTaCA1NRUZGRlBcykl2kzC+evisOtIuLYyINAhxYKLBuQhPso3wauKMBZtvYL1eyJVwnZ5\nV9Eh1YIBHYsRbqr5LcbUqVPx0UcfoVPXk9Bp8C2w6pNxZMdCbFn1Hvr3749PPvkE0dGuVzGs\n2H4wfx8ZGYmEhATk5OTwvUEw38gg6Xtj/VxzPs+DhIndDHABBrD8fIMYwPIzeIg2J7lXGMAK\n0ZvfCJfNAFYjoIdgk8EYwArB29RkLrmx3ug1GcA6XIj8Df3NN9/ECy+8gLy8PHWGuA8fPhwz\nZsxAbKzvA7116KZPD3G+sWcAy6fMrPxvgcb6ueZ8nvNGUMAbAr5ZV9cbPWMdFKAABShAAQpQ\ngAIUoECTFJA/tk2ZMkV9Hjx4UI0a79SpU5O8Vl4UBShAAQp4R4ABLO84shYKUIACFKAABShA\nAQpQoB4CrVu3rsdZPIUCFKAABUJNgJkRQ+2O83opQAEKUIACFKAABShAAQpQgAIUoECQCTCA\nFWQ3jN2lAAUoQAEKUIACFKAABShAAQpQgAKhJsAAVqjdcV4vBShAAQpQgAIUoAAFKEABClCA\nAhQIMgEGsILshrG7FKAABShAAQpQgAIUoAAFKEABClAg1AQYwAq1O87rpQAFKEABClCAAhSg\nAAUoQAEKUIACQSbAAFaQ3TB2lwIUoAAFKEABClCAAhSgAAUoQAEKhJoAA1ihdsd5vRSgAAUo\nQAEKUIACFKAABShAAQpQIMgEGMAKshvG7lKAAhSgAAUoQAEKUIACFKAABShAgVATYAAr1O44\nr5cCFKAABShAAQpQgAIUoAAFKEABCgSZAANYQXbD2F0KUIACFKAABShAAQpQgAIUoAAFKBBq\nAgxghdod5/VSgAIUoAAFKEABClCAAhSgAAUoQIEgE2AAK8huGLtLAQpQgAIUoAAFKEABClCA\nAhSgAAVCTYABrFC747xeClCAAhSgAAUoQAEKUIACFKAABSgQZAIMYAXZDWN3KUABClCAAhSg\nAAUoQAEKUIACFKBAqAkwgBVqd5zXSwEKUIACFKAABShAAQpQgAIUoAAFgkyAAawgu2HsLgUo\nQAEKUIACoSVQYCuE3WEPuou22C0otpX4rd9WqxW33347TjrpJLRr1w7dunfHeeedh71793rc\nhyIzNHOPT1MnWGxAqbV+54bqWXbt6X2sUA/5GkrFoT3H5LkmX1koQAEKUKB2AWPth/AIClCA\nAhSgAAUoQAF/ChTZivHaoXfxfxmLUWgvglFnwOD4AbirzU1oG9HKn13xuK2fctfjpYNvYUfR\nbnVu87BUXN/iclzcbIzHddX1hJKSEvTu3Rv5+fnQ6Q0Ij22JouJj2LBhA4YMGYKZM2fi0ksv\nrbG6IrMOX/4Si5/3RGoBKD0M+jSc1KYEFw3IR3KMFpWqpfx+IBz/p51/OEdeXuuQFGPFub0L\nMLhLcS1nhu7uwzkG/GdZEjLyDcpMC+VobjbceMYxtEluulHA3CI9FqyPxYb9kZCAp8kQj37t\nw3Bh/3zERoZYFC90n/68cgpQoB4COodW6nFeQJySmZkJi8USEH2paydiYmJgs9lQXMwXM3U1\n43GeC+h0OqSlpcFsNiM7O9vzCngGBTwQSExMVG8aZfQDCwV8JWAymZCSkoKCggL1fPNVO4FQ\nb6GtCFds/ScOmdNhcRx/nWOAASa9Ee/2eAndojoFQler9eGLjK/x+L6XYdc+KhaTzohzk0fh\n0Q53Vdzste/Hjx+Pn376CdHJnTH81o0whUWrurcsvh+7VjwFvdGEndu3ISoqymWbhVrw6qmv\nUpBTZIDNris/xqBzwGR04N4xmWge7z6I9f3WKMxfF/f3qK0K5+sdGNK1CBNOySuvk9+UCRzM\nMuJJzbzsjchxMwliSbnrnCx0an78+V92VvD/m62NNJPnWnGpvvJzTXuuRIXZcf/YTCREVf7/\nE/xXzSsIBIHU1FRkZGT4vSuRkZFISEjwe7tssGkKcAph07yvvCoKUIACFKAABYJU4NWDb1cL\nXsml2LQPs70U9/4xXZtyFHh/fzxsPoon9r1SLXglfbc4rFiY+Q1W5KyRh14tEjyX4JWMeho6\n5cfy4JU00uvsJxGd1Bl2qwXX3/+g23Y//zmuWvBKDrY5dDBbdXh7ufs3X0fzDJinglcShKkY\niNHO14JhP+6Iwva/wty2Hao7Xv02yUXwSjTKDF/T9jfF8uHKBG3aYOXglVynPFeKtKDWR6vi\nm+Jl85ooQAEKeEWAASyvMLISClCAAhSgAAUo0HAByXX1ZeaSSiOvKtbq0N7yHzAfxraiXRU3\nB8T3i7O/g0Gb6uiuSABu/tGv3e2u9/b169erc8NjmyMiNq1aPWndy6Yu/r5xR7V9skGmcP2y\nL7LSaJiKBzq0INaBbBMkUOWqrN0dqV23qz1l2yTWuGqn65Ff7s9q2nuyC/TIK5a3Ie7gdCi2\naO7aKK2mVPK1a95+OEwbqef6uiWIteVQOGREIAsFKEABClQXYACrugm3UIACFKAABShAgUYR\nyLXmo9hec+LzML0JB0r+apT+1dTonyWHUOoorekQ7C35s8b99dm5du1adVp4dDOXp8c266G2\nF2dnudyfW2XaoKuDjNor5ow818GUI7lGWCtMO6x6vkML0pTlxaq6J3Qf780w1eni9xyt23F1\nqiwADsrUcn1pWR5qLLI7K9/1c63GE7mTAhSgQAgIMIAVAjeZl0gBClCAAhSgQHAIxBiioNc+\naipWhw3xxriaDmmUfQnGeBi1PF01lUTtGG+XVq1aqSotJbkuqy7KOaC2G8LCXe6XvEPOvEsu\nD9A2yoqEUeGu8xLFRNih13Jl1VSYmLuyTllS/FoiOdopiTGuzSvXFjyPorXnSm2zfyXgGe3m\nuRY8V8qeUoACFPCNQM2vkHzTJmulAAUoQAEKUIACFHAhYNJGVw2I662Fgdy/RJOE6CfH9nJx\nduNuOj3hFC3/lftATpjOhDOTTvd6JwcPHqzqNBeku6z72J+SHwtIbe16hFZUuAPtkiVZuPu+\nR5gcaKuOUVVV+qd325pHzBm15Nx929d8TKUKQ+BB+1SrtsqjeLs3l/DWSW3MTUqjWZwNSdGy\nGIC763YgNdaK5Fj3CwY0KRBeDAUoQAEPBdy/OvKwIh5OAQpQgAIUoAAFKNBwgaltb9FG9GhT\njVxUJSsR3tP2H4jQux5N5OIUv206OfYEnJF4GkxaoKpqMWpBt7SwZhjfrCwfVdX9DXncokUL\nJCcna4nazdi06PZKVRVk7kLGnu/Uthl331ZpX8UHl52ap5nLluqBBRlddfngXC3gUvGM4993\nb1mKHi3NkEBV1SJBmtQ4K07tXFR1V8g/vrB/TSszOnDeyQVN0kieS2XPteqXJ9MLZT8LBSjg\nPYHMzEwsW7YMK1asQE5OjvcqbmBNJSUl2L9/P4qK+PvBE0o3v4o9qYLHUoACFKAABShAAQp4\nS6BTZHvM6f48mmsBHwlYSbBKRl3J12ntb8O41LO91ZTX63my4/0Ym3KmFnzTIVwXhghdWaCt\nT8wJeKfHTJ8F3l599VV1LXtWvowfXhuELd/cj7WfXIxlMyX/lQMTJ0/G8KFD3V5vuxQLbjsr\nG/GRZdMBw40ONUIowmTH1UNzah1BNeWMY+jfsVi1ZTI4YDKUTUvs1sKMf52dBWPNMyvd9qsp\n7xjRswhjVJBKAn+VP0efUIBzm2gAq2erUsjzRaauSoAzXEt3JV+jw224acQxdGtRcx65pvyc\n4LVRwJsCu3fvRt++fZGamopRo0bh9NNPR2Jiotq2a1fjL4Tyww8/oH379li0aJE3L7vJ16XT\nlmGu/ueiILlsiaZaLDLkO3hKTEwMbDYbiovlRQ4LBXwjoNP+hJeWlgaz2Yzs7GzfNMJaKfC3\ngLwYyM/Phyxlz0IBXwmYTCakpKSgoKBAPd981U4g1WvTcl39XrANB7VVByW/VL/YExFpiAyk\nLrrtS0ZpFjYWbNFWU7SiR1RndIhs6/ZYb+348ccfccMNNyAv7/jInojISEy++mo8/PDDdWrG\npsWd9hwNg0WfoC1PmIPOzUsR5kE+7WOFeuzNCNNWNISactg8nlPBaoMv1X51rNgeBUmGn6pN\nsRvarRCRYbWdFfz7rdpT40BOLMyOGC3YW4A2CfkMdAb/bQ3oK5BATkZGht/7GKn9HE5I0H6m\n+rHIyKaTTz4Z0vYDDzyAk046CRI7WLJkCebNm6fej8vvjBNOOMGPvarclKygO23aNDz00EMY\nWsMfWCqfxUf1CmB9/fXXeOWVV7B9+3ZkZble0UXezPi6MIDla2HWH6wCDGAF650Lzn4zgBWc\n9y3Yeh2KAaxgu0eB0l95bbpq1SqccsopaNbMdd6r2vraWG/0ausX9zctAecbe5nWxD9uN617\nG4hX01g/15zPc3+azJw5E3feeSc+/fRTXHrppZWafv/993G19oeNqVOn4plnnqm0jw8CX8CD\nvymVXczq1atx4YUXqr+09+nTR704CPzLZA8pQAEKUIACFKAABUJBQPJhjR07NhQulddIAQpQ\ngAIuBJxTBE888cRqey+//HKVEys+/viquG+88Qbk8aBBg/D2229Dzh82bJj6XeJc6dZZkcw4\neOedd7B27VqVv0piIjL6t2J9zmN///13Nerr119/xamnnooLLrgAbduWjUj+448/8MEHH2DC\nhAno2bOn8xTIOZ999hm2bdumjh0zZgxGjBhRvl++sdvtWLBgARYvXqxm23Tt2hXnnntuSIzk\n8ngE1n333Ydnn30WW7ZsQffu3StB+vsBR2D5W5ztBYsAR2AFy51qGv3kCKymcR8D/So4AivQ\n71DT6l9jjVRoWoq8mtoEnCNTOAKrNinu94ZAY/1ccz7PvXENda3jiy++wPjx41VAR2IXAwcO\nhLw/cldkf2lpKY4ePYpOnTqhW7duKjeVpGORqX4dOnRQp8oUTAkUyTYJGkngSXJZSfBKcllV\nDER9+eWXqg/t2rVDv379IFMW09PT8fnnn+Piiy9Wwadzzjmn/LE08Prrr+O228oWHDnrrLNw\n6NAhSPDr7rvvVjEYZ/9vv/12NSNOpkBKX2WQ0eHDh/H888/jX//6l/OwJvnV4yTue/fuhSxX\n3NjBqyZ5N3hRFKAABShAAQpQgAIUoAAFKEABCtRbQGaM3X///SpoJNPJmzdvjokTJ6oA0V9/\n/eWy3t9++w2TJk1S57z11lvYsGEDoqOjcdFFF8GZNlwG80jwSgJkO3bsUKOg5DwJft10003l\n9cpgH2lPRk/JSCoZUXXw4EE1wuuee+5ReYrLD/77GxmRJcGr0047TQWu/vvf/+KXX35RObye\ne+45NWpMDpVUTbNmzcLNN9+MTZs2qQDYgQMHVD6vp59+WuX3qlp3U3rscQBLkqFJEIuFAhSg\nAAUoQAEKUIACFKAABShAAQoEkoCMtnriiSewfPlyXH/99SqZ+9y5c1WQqU2bNpAgkiysVrHI\njIJHH320fJMEvWQ008aNGyErGspISZk6KFMBJUDmLDIlUKYlyggrCShJkWTxktdORn+FhZWt\nSmEwGPCf//xHjaaquNiIs57XXntNBcIkSCaL1jjLXXfdBRmFLkErZ9Hr9WpGnIy6kiKP5Vr3\n7dsHaacpF49zYElk8c0338Stt94KiQSGh5ctj9yUkXhtFKAABShAAQpQgAIUoAAFKEABCgSP\ngOSxkk8pMsLpm2++wUsvvaQCS3/++SckqOUsvXr1UiOunI/lq6xeKEVGY7Vv316NxJLgU9XE\n8DK6SsrOnTvVORL0ktFbXbp0Udud/8hgIPl0VWRElwTeJB+XjACrWKKiolTdsi02NlYF1iQB\nveTn6tu3L2Qq4rhx49RUxYrnNcXvaw1gSVTv7LPPrnTtRUVFePXVVyFRQpnTKYhViwylY6EA\nBShAAQpQgAIUoAAFKEABClCAAv4QKCkpwYoVK9CiRQtUTOLeuXNnyOc111yDM888U00DlGBU\nXFyc6lZCQkK17kngSEpubi4k/7YUyeklI54qFhmFJZ/OuIjkroqJial4SK3fS/0yOMhorB6i\nkXhMxfpkquDw4cPx0UcfYenSpZgxY4b6vOqqqzBnzhyXddTagSA5oLpOlY5LFLDqKCvnDapy\nKB9SgAIUoAAFKEABClCAAhSgAAUoQIFGEZApdDJCSlYH/P7776v1ISIiQgWwZMqfTLlzjrJy\njqKqeML+/fvVQxnlJCOqpEjydgkcVSwyHbHi1D1J+i7J3S0Wi5r+5zxWkrhLcveRI0c6N5V/\n7dixo1rZ8LHHHlNtlO/QvpGVDysGtqQ9CcLJyCvJzyV5uSTR+/vvvw8JYrmqv2J9wfx95dCh\niytJS0tTkLJMpCefLqriJgpQgAIUoAAFKEABClCAAhSgAAUo4BMByRclgR0ZhfXhhx9Wa0OS\noC9YsKDaCC3JXyUJ1ysWCQjJiCtZ7U8CTBIbkXOr5rCS5O8ygssZ8JI8WXa7XSVYr1ifTF+U\nlEyugmWSvF2KtFmxSL9k9JWsPCjFOT1x5syZ6rEMOBowYAD++c9/qscSJGvKpdYRWFUvXkA3\nb94MmXPpqvzf//2fwt2+fbu62a6O4TYKUIACFKAABShAAQpQgAIUoAAFKOBtAUnGvm7dOlx5\n5ZUqiDV48GBI8nbJUfXpp59CVu2TvN4S/HEWCThdcMEFePnll1Vw6/XXX8fixYvVaCtnInZJ\nyi51Sr6pRx55BDLFUPJoSZ0PPfSQSq8k9V199dWQAJMElWSFQhnBtWjRIpWCaciQIRg6dKjK\nx+VsW77eeOONav+LL76I1NRUjBo1CpKWSaYHSgDrwQcfVIdLDi0ZYfXUU0+pUV8jRozA1q1b\nVdJ6OU6Cd0251CmAlZGRoeAFQhKYyUgsmddZtcjNkRsjCdFk7qlEK1koQAEKUIACFKAABShA\nAQpQgAIUoIA/BLp166ZiFv/4xz+wcuVKtSqgtCuBKMmLJcGrqtPsevbsidGjR+P8889XU/Zk\nxJUEsyZOnFje5SuuuELVIasTSg4qKTK179prry0PMDm3LVu2TAWlrrvuOjUaS7ZfdNFFmD17\ndqXphrJdiowck5UEpc8yHVCmDUqRRPCffPKJCmqpDdo/EhyTqYJ33nmn2iSBuN69e2PNmjVI\nSkpyHtYkv+q0OZOO2q5MRlvde++9tR1Wvl+ighLo8nWRRGcyrzSYikRFZc6qLKvJQgFfCcgP\nMRniajabkZ2d7atmWC8FlIAsOyzDsZ2/aMlCAV8IyAs7WVa6oKBAPd980QbrpIBTQP76LX/A\nZaGALwXkj/0y7SgnJ4fvDXwJzbqVQGP9XHM+zxvzNsj/MZm2J8Ggqvm9pV8DBw5U75tkxJMs\nWCfT8CSAVVORY7KystBeW53QmR/L1fHyvn/Pnj1o3bo14uPjXR1SbZsMDJJVE+X4li1bVhop\nVvFgiYfIonvSB2cC+Yr7m+L3dRqBJRFGeWMiwSJJhCZzOydPnlzNQ6KP8kbmkksuqbaPGyhA\nAQpQgAIUoAAFKEABClCAAhSggD8FJFDsapVBV32QaYG1Ba/kPBksIJ+1FQng9erVq7bDKu2X\nkWIyIqy2In/Yk89QKnUKYMlfPadNm6ZcunfvruZYypxPFgpQgAIUoAAFKEABClCAAhSgAAUo\nQAEK+FqgTgGsip2YMGFCxYf8ngIUoAAFKEABClCAAhSgAAUoQAEKBKXA2WefzVQYQXLnPA5g\nTZ8+HY8//rjby5PcOzIHVIaySXb9p59+usknEnOLwR0UoAAFKEABClCAAhSgAAUoQAEKBKzA\nY489FrB9Y8cqC+grP6z90WmnnaYy3Ety6B49emDSpEm4/vrrIcs3SnJyCWANGzZMzQedM2eO\n2i7JxVgoQAEKUIACFKAABShAAQpQgAIUoAAFKFAfAY8DWLIs4++//47XX39drTQoQapXX30V\nixYtUttllb2zzjoLP/zwA1asWKEy7r/33nv16RvPoQAFKEABClCAAhSgAAUoQAEKUIACFKAA\nPA5gffTRR+jbty+mTJlSjU8SvMuKhRLQkjJkysR9zgAAQABJREFUyBCcccYZ+Omnn6odyw0U\noAAFKEABClCgqQvkWwvxU+56/HBsNf4yH/Hr5eZbC7A6d51q+7D5qF/bbkhjDgdwIMuIjfvD\nsfuICTZ7Q2rjuXUREPP9mSZlvveoCXaa14WNx1CAAhSggJ8FPM6BlZ6eXuNSjbI85YEDB8ov\no0uXLli5cmX5Y35DAQpQgAIUoAAFmrqA3WHH7EPv4Z30T7W/Fuq0Tz3MjlKcFj8A0zvci0RT\nvM8IbA4bZh18F++nfw69TlrWqbaHxg/C9I73IN4Y57O2G1qxBFHeXp6AzHwDjAao4FWEyYFJ\np+WiT7uShlbP810ISJDwnRUJOFakmWt/2paAYXS4HVcNyUWv1mYXZ3ATBShAAQpQoHEEPB6B\nNXLkSCxbtgw7d+6s1mOLxYJ3331X5chy7ly+fDmGDx/ufMivFKAABShAAQpQoMkLPLH/Zbyn\nBZAkmGRxWFUASS7657wNuGbbHSix+y4wMH3fi/jwyHzYtA+Lw1Le9pq8X7S2/wWzvTQg/f86\nZsTzi5KRoQWvHFrQzWLTwe7QoahUj7d+SFCjgwKy40HcqX1awHDm4mRkF2rmmrXTPL/EgNeW\nJWLrobAgvjp2nQIUoAAFmpqAxwGs8847T60qeMopp+CRRx7BggUL8PXXX+OVV15Bnz598Msv\nv2DatGna0GO7yoW1fv16yLKULBSgAAUoQAEKUCAUBHYW7cEXGYtU8Kjq9Vq1YNbh0iP49MiX\nVXd55fG2wl34KnOpy7YlkHbIfBjzjn7llba8Xcmna+K0gJ/UqqtWtQRXPlqdwOmE1WQatuGT\n1XFakFDqcGO+KqFhDfBsClCAAhSggBcFPJ5CmJqaCglKXXbZZai63GT79u0xd+5cFbjat28f\nVq1ahbvuukutSujFPrMqClCAAhSgAAUoELACy3N+gklnRKk2+slVke3/y/4eV7e41NXuBm37\nIWc1DDqDFpRwncTI2faktPENasfbJ5stOvxxJEyNvHJXd3GpTuVp6tjMtau787jdtUB+sR4H\nsmseYXWsSA8ZGdcy0eq6Em6lAAUoEGACOTk5fu+RpFFi8Y+AxwEs6ZYEsWQaYWZmplqJ8OjR\no+jcubMagRUWVvaLsE2bNsjPz4dOV/0vOv65NLZCAQpQgAIUoAAF/C+QbTmmpg3W1PIxi29e\nYGdr9cq0wZqKHBNopVALTsm0wZqKQe9AQYnHkwdqqjKk9+XXwdKgcdfluJCG5MVTgAIUoIDf\nBOoVwHL2LiUlBaNHj3Y+rPTVYNAyb7JQgAIUoAAFKECBEBNoFd4CYTpTee4pV5ffWjvGF0Xq\nDdOFaaO/3Oe5ahPe0hdNN6jOuAg7JEBls7sPYlm1nFjJsbYGtcOTjwskRtu0kKGjxsChJHRP\niaH5cTV+RwEKUIACjSlQrz9jzZ8/H4MHD0arVq1UPqzExERU/WzMi2LbFKAABShAAQpQoLEE\nzkw6HVYtebu7YtSmF45vdp673Q3afmbScC2PlPvpXmVtn9ugNnxxsqw42K99sQpiuapfAi3N\n4m1oxalsrnjqtS0yzIETtFUGJXDoquh0DrRLsTBo6AqH2yhAAQpQoFEEPB6BtXr1akyYMAGR\nkZFqtcFmzZpxmmCj3Do2SgEKUIACFKBAIAo0C0vB/e1uhaxEaNc+KhaTNjJrcHx/nJM0ouJm\nr33fIrwZpra9Bc/8+ZrLtofGD8LoxNO91p43K7p4YB52poerKWsVR2LptUCKTGW7dtgxbzbH\nujSBiafm4omvUlBs1muBz+Oj38TcZHRg8tDAm27KG0cBClCAAqEr4HEA6/PPP0dERAR+/fVX\ndOnSJXTleOUUoAAFKEABClDAjYCMsJJA1gsH/oN9JQfVUXGGWFyddolK3u7LHKETml+A5mGp\nmHngDfxpPqTajldtX+rztt1w1GlzTIQD08ZmYN7aOPy6LxJWbTqhjLzqmlaKSwflIi3B/ai2\nOjXAg6oJJETb8cDYTHyumf/2Z4SawinBq56tzJp5HlI4ZbOaGTdQgAIUoEDjCXgcwDp8+DD6\n9+/P4FXj3TO2TAEKUIACFKBAEAgMTRgE+cy3FqgVCZOMCX4btT48cTDkszHabsitkSDW5GG5\nuHJIrhqJFRVmR5jHr1Yb0oPQOzc+yo7rh+fAqsUHC7SRWNHhdpiYyjb0ngi8YgpQgAJBIOBx\nDiwJXsnoq6KioiC4PHaRAhSgAAUoQAEKNK5ArDEGyaZEvwWvKl5tY7ZdsR+efi9TBhO0wAqD\nV57K1f94yUMm5gxe1d+QZ1KAAhSggG8FPA5gTZ48GS1btsSjjz6K0lL3K9z4ttusnQIUoAAF\nKEABClCAAhSgAAUoQAEKUCBUBDwelP39998jNTUVzz77LF5++WW0bt0a0dHR1bx+++23atu4\ngQIUoAAFKEABClCAAhSgAAUoQAEKBIxAViaQnw8kJQFx8QHTraodycvLQ1xcXNXNIfXY4wDW\nsWPHYDabMWDAgJCC4sVSgAIUoAAFKEABClCAAhSgAAUo0EQEdv8BwycfQZdxFA6dthKrwwFH\nx06wT7oSSEkNqItctGgRZsyYgdWrVwdUv/zdGY8DWFOmTIF8slCAAhSgAAUoQAEKUIACFKAA\nBShAgWAT0O3aCf1rrwB2u+q6TgteqbJvLwzPPgXbPdOA5OSAuazNmzejsLAwYPrTWB3xOAdW\nxY5u2rQJ8+bNw5IlS9Tm/fv3V9zN7ylAAQpQgAIUoAAFKEABClCAAhSgQOAIaMEq/Yfvq+CV\nNu6qUtFJQEvL9a2f/1ml7d548N5772HcuHE499xzcf/99yM7O7tSte+//z4uvfRSjB07FjNn\nzoTValX7ly9fjvnz5+PgwYO44YYbILPipMhorKuvvhqjR4/G7bffjgMHDqjt8k9OTg4eeOAB\nnHnmmZgwYQLeeustbYDZ30E6bf+ePXtwxx134Oyzz8ZFF12kUkQFQ47zegWwtm7dimHDhqF3\n79645JJL8M477ygoefzwww+rKYZqA/+hAAUoQAEKUIACFKAABShAAQpQgAKBInBQC/Tk5qBq\n8MrZPQli6bZuUYEs57aGfpXg1L/+9S8MHTpUBZS+++47jBo1qrxaCUDddddd6NKlCwYPHoxn\nnnkGF198sdrfrFkzlXs8KioKAwcORFhYGL766itVV25uLsaPH49Vq1bhxBNPVIEpOemKK66A\n5C+//PLLVfqnqVOn4qmnnlL17d27FyeddJIKoF155ZWqzenTp+PBBx9U+wP5H4+nEEriMIkY\nWiwWBeycg2mz2VT0Ti780KFDmDNnTiBfN/tGAQpQgAIUoAAFKEABClCAAhSgQIgJ6LTRSTBo\noRCrxe2VqymFBQVlid3dHlX3HRJg6t+/P+68807otHxbEsj68ssv1eAfmcn26quv4sMPP8TE\niRNVpRK8kmCWjL46/fTTMWjQIPzxxx9qBJYccNttt6ng1AcffKCOv+mmm9ChQwcVhPr444/V\n6Kwnn3wSkydPVvu7d+8OidlI2bFjhwqivfnmm9Dr9Zg0aRIyMjKwZs0atT+Q//E4gPXGG29A\nonyyymDbtm3VEDe5QIPBgLlz56JVq1ZqdUJZodDV6oSBjMG+UYACFKAABShAAQpQgAIUoAAF\nKNB0BRwJCYCtbHqeu6t0aIEdxMS42+3x9ssuuwznnHMOOnfurAYEjRkzBrfeeiuMRiPWr1+v\npvetW7dOxVmclcdo7cs+CWBVLDKFcN++fXjiiScqbobU6UzvJFMLb7nlFkiASwYgXXDBBejV\nq5c6XqYNDh8+HDIKbNu2bZAZdt9++y3S0tIq1ReIDzyeQrhhwwZ1sRK8clXkxshcTQFloQAF\nKEABClCAAhSgAAUoQAEKUIACASPQug2gBbGOZ4Sq3DMJXjl69IQ2V6/yjgY8OuOMM7Bx40ZI\nvGTlypVq9pqMqpJcVfIpgazw8HA1IkpGRcmnBLicQaeKTcvxUmTwUMXSvHnz8lFWkkNLRnh1\n69ZNDTA64YQTcN9996nDJZe5jNa67rrr8PPPP6vphFWDZBXrDaTvPR6BJfMuJQrorhQVFald\nyQGUsd9dX7mdAhSgAAUoQAEKUIACFKAABShAgRAS0Kbw2a64GoZZL8Mh+a4qXLoaeaUFkuwX\nX1pha8O/lZFRsbGxePzxx9WnDAySfFayXUZlSYqm888/X+W/ktZkup8kfe/atatqXKYdOosM\nJpI8WIsXL1a5yZ3bpa6TTz4ZEpP59NNP1YgsGZVl165RUj1J248++qj6lCmFMupKZtJJkaCa\nc4qhs75A/OrxCCxB3rlzJxYsWFDteiQ/1r///W+0bNkyKIafVbsAbqAABShAAQpQgAIUoAAF\nKEABClCgaQt07gLbbf8CmpdNm3NoASIZkeXo2Am2u7WRSknJXr1+ScEkCdN37dqlpgump6er\nmWudOnWCjM6SkVKyIN6WLVtQUlKigkz33nsv4uLiVD+SkpJw+PBhFYuR1QSnTJmicmYtWrQI\nxcXFkHxWksNKFtmLjIzEa6+9pkZcyWgt2S85rmTEVkREhIrVyAqIsl3qkpFa8+bNC4rF+Dwe\ngXXNNddA8mDJUounnnoqJGglQJL4S4JagiDRPhYKUIACFKAABShAAQpQgAIUoAAFKBCQAh06\nwjbtIWjL8QEF+WUJ22NifdJVSbouo64khiIBKpki+NJLL6nE7tKgBJEk1iIrCcqsN1klUPJX\npaSkqP4MGzZMjZaSQNdPP/0ESdAuI63Gjh2rph+mpqbilVdeUVMU5QRJCi8BMAlaSYonmTI4\nf/58VZckkt+8eTNkyqEEtPr06YNnn31WHS/xHWfQTB0cYP9oyfW1kJuHRaJ3Mn/y3XffVcPR\nnKe3aNFCLfcoSzb6o2RmZqqhdv5oy1ttSCI2GZongT4WCvhKQIaYShI+s9mslkf1VTuslwIi\nkJiYiPz8fPXLkSIU8JWAyWRSL+IKtBWB5PnGQgFfCsgbAXm9y0IBXwrIIIAELQ+Pc4SEL9ti\n3RRorJ9rzue5v+6AMz+Uv9qTduT/cV2LTOc7dOgQWrdurVYjrHqeLJgnASd3KZnk+iq2J+/3\n5PeV1OeqyOsmiT3I/a9asrKy1FREmdoYLMXjEVhyYXLxc+bMwfPPP6+GwEkgqWPHjupTXmCy\nUIACFKAABShAAQpQgAIUoAAFKEABChwXkJFXbdpoSeTdlPj4eDd7yjZXDF7JFkn87i54Jftl\nAI18uirugmSujg2UbfUKYDk7L3gDBgxwPuRXClCAAhSgAAUoQAEKUIACFKAABShAAQp4XcDj\nJO619WDhwoW45557ajuM+ylAAQpQgAIUoAAFKEABClCAAhSgAAUoUCcBrwewfvjhB5UArE6t\n8yAKUIACFKAABShAAQpQgAIUoAAFKEABCtQi0KAphLXUzd0UoAAFKEABClCgwQIZpVn4NuNH\nZPyVhSjt45TIPjghpnuD62UF7gXSzUex9NhyHDKnI9EYj+EJg9E9urP7E/7eI8lpP/7kY7zx\n5Rwc2ncIYcnhaH9CR7x2z0vokNq+1vMbeoBdW5ro9wPh+ONImLbQkA5tki3o274YYXzF21Ba\nn51/NM+ADfsicKzQgPgoO/q0K0Zags1n7bFiClCAAhQIXgH+Og/ee8eeU4ACFKAABZq8wMLM\nb/DYvheg1+lhtpfCpDNhtuNdnJl0Oh7rMBUmPReP8faT4POjX+Hp/bNg1BlgdpQiTDN/468P\nMS7lbDzQ/nYYtO2uiqyaNGb8+di07jfom5lg6hqJoowi/PbROgxdNAz3zpqGW4ff5OpUr2zL\nKdTj1W+ScCTPCFljWz4N2lyDBetj8Y/R2WibbPVKO6zEewL/+y0aCzfGwqh3wGLTqa8LN8Rg\n9AmFGNefq416T5o1UYACFGgaAl6fQtg0WHgVFKAABShAAQo0tsD6vN/wyN7nYHFYVfBK+mNx\nWGDXPpYdW4ln/3ytsbvY5NpfkbMGT+1/FTbtQ4JXUko1c4f2sTDrW7x68B231zzzxZkqeBUx\nMgEps7sgYWobJD3TEfH3t4E914pn7n0a23N3uT2/ITu0gV94eakWvMo1wqaNvLI7dFqPdbBq\n3+eX6PHS4mQUlOga0gTP9bLA6l2R+FoLXjm0e2WxyVsSuV96dd+WbY3Gd1ujvNwiq6MABShA\ngWAXYAAr2O8g+08BClCAAhRoogIvHnhTBatcXZ4EsuZlfI2jpZmudnNbPQVmHni9RvMP0uch\n31pQrXaZOvjKrFehizMg9oY06IzHg0URp8QhYngCbAfMuO0j3yz0s2F/BDLzteCVFgypXiRA\nosP3WlCEJTAEZHScjIyTQKOrIkHIr36N1YKRrvZyGwUoQAEKhKpArVMI5QVJdnZ2nX2Ki4vr\nfCwPpAAFKEABClCAAq4ErA4bthbtdLWrfJtMbdtYsFmbTji8fBu/qb9AvrUQ+0oO1liBTOXc\nVLgNp8UPqHTcwYMHYTVbEH5yLPSR1acYhveLQcl3Ofhz1/5K53nrwc70MG30jvvaZCTW5kPh\nOL9v9eCb+7O4x1cCGfkGFJqrP08qtldq1eHQMSOnflZE4fcUoAAFQlyg1gDWgQMH0L59+xBn\n4uVTgAIUoAAFKOBPAZsWwJJpazUVnTblqNRuqekQ7vNAQEa11Vb0bsz37NmjTtWnuM5J5txu\nOWqurYl67ZcRVjIFraZiVcfUdAT3+Uug7F7I/2/390yn7eI989cdYTsUoAAFgkOg1gBWdHQ0\nJkyYEBxXw15SgAIUoAAFKNAkBML1YUgLa4b00qNur0dyNHWL6ux2P3d4JiCrDcYb45BrzXN7\nYpl5x2r7k5KS1DZHgevV4xx5ZdtjtNeVvihttdUG1+91uA146HUOdEipPUDni76xzuoCqbFW\nLWG7FqCqYdSchLdaJDDxfnU9bqEABSgQugK1BrBSUlIwd+7c0BXilVOAAhSgAAUo0CgC17a4\nTCVqlyTuVYsRBvSK6Y4uUR2q7uLjegrotCEvk9MuxWuH3lPJ8qtWY9IZMTCuD1qGp1XdhQ4d\nyu6DdV9JtX2ywbK3bPuI7qe73N/QjQM7FuO/Ws4kq4qTVR/VI8GQM3oVNrQZnu8lAZP2DmRY\n90Ks2B6tEu1XrVZWJRyg3dPIMLlzLBSgAAUoQIEyASZx5zOBAhSgAAUoQIGAFLg4dQzOSjoD\nRl3lXDmS+yo1LAXPdHowIPsdzJ26Ku0SDI0fqJlX/hunmLfSAlfTO9zr8vJiY2MxYsQIWPeb\nUbIqt9Ix9jwrihZmQWfQ4V8X31ppn7ceRIU7cNOIYzBpTxWDFvxwFp028ko+Jw3ORavE6oFQ\n53H86n+BC/rlo0NqqTYS6/j9kl7I41ZJFlw6yP1IQP/3li1SgAIUoEAgCOgcWvFmR1577TUc\nPXoUjz76qDerdVlXZmYmLJbgGg4eExMDm80GJrt3eUu50UsC8lf0tLQ0mM1mjxZh8FLzrCbE\nBBITE5Gfnw+rlW8OQ+zW++1yvz+2Cp9nLMSfpYcQb4jFyIShuKzZBYgyRPqtD6HUkLw0XJq9\nHPO1VR4PmA8h0ZiAc5JH4JJm5yNCH+6WQvJgjR49GuZSM1qO74CirjbYMkpRtCAL1sxS/Gf2\nf3D++ee7Pd8bO7IL9Phmcwy2/RWuVrDrmGrBqBMK0CbZs59PqampyMjI8EaXWEcNAtpaUViz\nOxI/7YpCdqEBCVE2DOpUjNO6FmmByBpObCK7IiMjkZCQgJycHL43aCL3NJAvo7F+rjmf5/6y\nkf9P/i7y/5jFPwJeD2D16tULW7duhZfjYi41GMByycKNFND+2swAFp8G/hNgAMt/1qHckslk\ngqQ1KCgoUAHTULYI5Gvfu3cv7r77bqxZs0a9FjQYDOjduzduvvlmnHfeeYHc9Up9a6w3epU6\nwQdNXsD5xp4BrCZ/qwPiAhvr55rzee4vBAaw/CXdOO1UHh/uhT688MILyMvjkF8vULIKClCA\nAhSgAAUoEFQCkgtr/vz5KCoqggSz2rdvD1kQiIUCFKAABShAAQo0VMDrAayzzjqroX3i+RSg\nAAUoQAEKUIACQSwQFRUFGZXPQgEKUIACFKAABbwl4PUAlrc6xnooQAEKUIACFKAABShAAQpQ\ngAIUoICvBPKs+Vh9bD2yLcfQKqIFTknoi/Aa8j36qh/ernfu3LmQ/NtjxoxpcNUffPABmjVr\nhkAYrFRrACs9PR3jxo3z+KIl9wELBShAAQpQgAIUoAAFKEABClCAAhQINIFP/lqAJ3e/DJ18\naDmEbQ47orUFYp7t/giGJg0KtO561J/PPvtMLerlrQCWjKoOigCWXVsepLCw0CMsHkwBClCA\nAhSgAAUoQAEKUIACFKAABQJRYF76QszY/aIWtLKVdc9R9iXHasFNm+/BRyfPwslxJwRi1+vU\npy+++KJOxwXbQbWOwGrZsiV+//33YLsu9pcCFKAABShAAQpQgAIUoAAFKEABClQSKLVb1Mir\n8uBVpb2AXfuY/sdMzO87p8qe+j00m824/fbbceONN6JPnz7llbz//vuQVRNvu+02tU0eL1y4\nECUlJTjjjDNw6623wmgsC9m8/PLL6Nq1K5YuXYojR47g4YcfVgumyPY///wTHTt2xA033ICB\nAwequmbNmoX4+HhcccUV6nFmZibeeustrFq1SuWovOSSS9CvXz+1z2az4c0338SSJUsg3w8f\nPly1LStAuyqrV6/G66+/jr/++gs9e/ZUqw+3adNGHSr1//jjj6o/H374oWr/0ksvdVVNvbbp\n63VWDSc5HA7V4RoO4S4KUIACFKAABShAAQpQgAIUoAAFKOB3gU35W1FiN7tt1wEHthTsQIHV\nOzPRwsPDsWfPHkhQyVlkptu0adMQFhamNkmA66677kKXLl0wePBgPPPMM7j44oudh2Px4sWY\nMmUK1q9fj4KCAhQXF6tAU0REhApcyRTI0047Ddu3b1fnSKBr5cqV6nuZUXfOOedAclmdffbZ\nkICaHCurBUu59tprcd9996m2+/fvj6eeekodL7GdquWrr77C0KFDkZubi/Hjx6uA2Iknnqiu\nT47duXMnZs6ciQceeAAJCQmqn1XraMjjWkdguar87bffVvhHjx6FxWJRh8jFWa1W5Ofnq22u\nLtZVXdxGAQpQgAIUoAAFKEABClCAAhSgAAX8IZBvLYBRZzg+fdBNo3JcjDHazV7PNkuQ6Kab\nblJxFAloff/998jKysJll12mgj6vvvoqZMTSxIkTVcUSvJJg1vLly3H66aerbZGRkeo8g8GA\nZcuWqRFY//73v1WC9QkTJqBHjx5wFYeZM2eOGrX1xx9/lAfMSktL8e233+Lkk0+GjPz68ssv\nMXbsWNWOBLtkJJdsq5oPXUaLXX755SoYJgfLNXXo0AEPPvggPv74Y3W+xIn+97//oW/fvuqx\nN//xeASWDAe7/vrrsWnTJrRr105BtG7dGqmpqSoSqNfrMXv2bG/2kXVRgAIUoAAFKEABClCA\nAhSgAAUoQIEGC7SPbAOzvbTGesL1YUgNT67xGE92SiBIRknJFEEpMhpKtskoJRlVJYGndevW\nqZFQMhpKpvvJKoKyz1lkyp8Er6QMGjQInTp1UkEumQ74zjvv4KqrrlJBLOfxzq8bNmxQo6ac\no71ku4wGkymHsk8CaiNHjnQeDhmFlZaWpvpTvlH75tixY9i3bx/OPffcipvVSocV+yn1SWDM\nF8XjAJaAS5BKhpvJkDSZ8yhzGjdv3owtW7agefPm5ai+6DDrpAAFKEABClCAAhSgAAUoQAEK\nUIAC9RHoENUWJ8b0gEH7cFXCdCZc1Pw8bZRWvSasuaoSMtVPRi7JKKuioiLMnz8f11xzjTpW\n8mBJrisJ/EisxfkpObBk9T9nSU4+HlCT4NbatWvx5JNPqvpuueUWlXdKRnZVLZIzKzra9Ugy\naVuCaBX3S6CtWbNmKh9WxbrkWCmtWrWquFnFgCR3lrNIfXINvige17p7926ceuqpkFFXUiQJ\n2Zo1a9T3nTt3xtNPP62Gj6kN/IcCFKAABShAAQpQgAIUoAAFKEABCgSQwAs9HlXTA01VglQS\nvGob2Qp3d7zZ672VgJVMrZOpdomJiRg1apRqQ+Iokprp/PPPxxNPPKE+p0+fDtkuidtdFck1\nJfmoJHD19ddfQ6btyRRCmYpYtUiC9x07dlTa/MILL2DGjBmqDQlwbdy4sXz/4cOH1Yy7ignn\nZWfbtm3VFETJx1WxSPJ3X424qtiOfO9xAEugZe6ls3Tr1k0NO3M+loRjgnfw4EHnJn6lAAUo\nQAEKUIACFKAABShAAQpQgAIBIdBGC1J91e99jGl2JqINUapPSaYETG59GT7r82b5Nm92Vqbm\nSV4rmSIo0/2co5RkxUGJq8jKgjKrTVYhfPTRR3HvvfciLi7ObRcmT56MefPmqZFSeXl5aoqf\nTCusWq677jo1e06Sq0tCdwlWSYBM+iP5riQ1lLS9a9cuFceRdmUE1rBhwypVJdMXJZG8jCJb\ntGiRStAuqxfKgCaZxuiP4nEAq3v37vjpp59U7ivpoEwhlHmQsnSjFAGXG+FuyUV1EP+hAAUo\nQAEKUIACFKAABShAAQpQgAKNJNAsPAVPdpuGX05biq1DV2D1qQtxZ4cbEWU4PmDH212TZO6S\nvF2CT84isRNJmC5TC2VFv5SUFJWkXfJkyfeuiozMeu6559Tst/j4eJVIXc6VZOpVi4ykkkTt\nMuJKpiFKsnZJxi4rEsrgJBnJdejQIUisR0Z9bd26VbXfokWLqlWpKYujR49Wdcjgpsceewyv\nvPKKSkZf7WAfbNBpycKqr41YQ0MZGRlqHqZEBeVCTzrpJLRp00YNV7vwwgshGe7lQp1LNtZQ\nVYN3ZWZmlq+C2ODK/FSBzFWV+aGy7CULBXwlIPOWJfGeLJGanZ3tq2ZYLwWUgPzykhVoZSVa\nFgr4SkBe3MmLOFk6Wp5vLBTwpYAsTiSveVko4EsBeeMouWIkrwzfG/hSmnWLQGP9XHM+z/11\nF5x5mvzVnrQj/4+9VXJzc9Vr6or5rmqrOz09XfVB8mzVVCT0I4EqyWEl7xerFnnfKNvltX1t\nRd5nyu9JZ2qp2o731n6Ps5LJE3/BggWYNm2aGtomFyerDkokUTLPywvMp556ylv9Yz0UoAAF\nKEABClCAAhSgAAUoQAEKUKDJC8hoKk+LDFyoS5HgVE0Bp6SkpLpUo46RhPM11VXnijw80OMA\nltR/2mmnYfny5WqpR3l85ZVX4swzz1S5sCRLvozIYqEABShAAQpQgAIUoAAFKEABClCAAhSg\ngDcE6hXAkoZl+JmsSLhhwwbIMLe+fftixIgRKiu9NzrGOihAAQpQgAIUoAAFKEABClCAAhSg\nAAUoIAL1CmBJ0nbJd1VxqUWpTOa3Sg6siRMnykMWClCAAhSgAAUoQAEKUIACFKAABShAAQo0\nWMDjAJYk/erXrx+io6PxwgsvqCTuEriSVQgls/2kSZNUVv1//vOfde7cH3/8gV9++QUy33Po\n0KGq7jqfzAMpQAEKUIACFGjSAt8dW4l5GQvxZ+khxBliMTJ+KCY2H+fTVYKCGdRut+P5917E\ne//9AHkHc6BPMiK+WxLuvW0qLu98cUBfmiwttH5vBFbujEJGnhFxkTYM6FiCYd0KYfL4Vatn\nl2rX2l63JxKrdkbiWJEB0WHJGNipGEO7FcFkqLkuMf/Ph6/jw68+Rvr+wzAmhaP9CR3w+J3T\nMaBln5pP5l4KUIACFKAABeok4PEqhJKwffr06WrqYPPmzas1csstt2DJkiVqemG1nS42fPHF\nF/jPf/6j8mpJ9vydO3eqx126dHFxdOVNXIWwsgcfUcApwFUInRL86g8BrkLoD+XQbEPSFTy0\n9xksyf4eVoetHCFMZ0KyKQnv9ngRzcJcLy9dfnCIfSOrgZ4xbiR2/7oL+mYmmLpGwp5hgWVH\nMfSJRpz55AV4e+wrAamixYDw+neJ2PpXOGz246sjGfUOpMRacde5WYgO92jx7Dpfp01re/ay\nROw4XL3t1Dit7XOyEOWmbTE/+6JzsHX9Fhg0c2MV83tmTcNtw2+qc194YOgIOFdn4yqEoXPP\nG/NKuQqh7/S9uQqh73rZNGrWe3oZK1aswLnnngtXwSup68Ybb8SePXvUZ211Hzt2DLNmzcLU\nqVPxyCOPqNUMR40ahXfeeae2U7mfAhSgAAUoQIEmLiCjrpZm/1ApeCWXXOqwIKM0E/fsnt7E\nBTy/vCdfeEoFryJGJiBldhckTG2DpGc6Iv7+NrDnWvHN4wux4K9FnlfshzOW/B6NbVWCV9Ks\nVQtmZeQb8f5K7y1TXvVy/vdbDHZWCV6Vt62NBPtwlftVoZ6e+YwKXol5sgvz5+59Gjvydldt\nko8pQAEKUIACFPBQwOMAloyM2rFjh9tmDh/Whk0bjajLUo6LFi1SSy+OHj26vL7bbrsNd955\nZ/lj5zfyV1iLRfsLYoVP2cZCAQpQgAIUoEDTFHj78FxYHFaXF2eFDZsKtmFX0V6X+0Nxo0xj\ne2P2G9DFGRB7Qxp0xuOjmCJOiUPE8ATYDpjxzBcvBByPTN/7dkuMCla56pyMyPr9QDiOFXr8\n0tVVdZW2ycivZVui3bYtAbSNf0Ygt6h622Xmr0MfZ3RrbtXMn5z3bKU2+YACFKAABShAAc8F\nPM4mcO211+Ktt95So6YeffTRSvmqtm3bBglAyTTCqKioWntz4MABtGvXDqtWrYIEs0pKSjBy\n5Eg1wqvqyYsXL8Ydd9xRabOM1Bo8eHClbcHygMMMg+VOBXc/w8PD0aJFi+C+CPY+KAQiIiKC\nop/sZPAIlNjMSC89WmOHIwzhOBKWiWEtgvO1QI0XV4+de/fuhc1sRfjJsdBHVk/aFN4vBiXf\n5SB7d2bA/W7IzgeKS2u+aJNBhyI0R08v/1rLyAU0thqLUWu7WNcc3au0LeaWEgvCe9dsvmvn\nroAzr/GCudOvAvK+gO8N/Eoeso01xvuCwsLCkPXmhXtfwOMA1s8//4xmzZrhueeeUysO9uzZ\nE5L/5ODBg9i0aRPkL1Emkwm9e/cu761MOXzyySfLHzu/ycjIgIzYkrxXY8aMwT5tdcNnn30W\nMrVQksFXLElJSejfv3/FTSpIZjabK20L9AcGQ9kLSpvteC6PQO8z+xecAhK8kv+PMmqRhQK+\nFJCf+ZIDhqNifakcenXb7FbotA+H9uGu2LWR2HptdEywvRZwdz0N3b5lyxZVhT7F5LIq53bb\nUUvAmdnVy6Jwl/12bpT7Dbv03f1zwnmsJ1/r0rb6+eaibae5oRZzc3pxwJl7YsRjfSOg1+vV\n+yZ5rSav2Vgo4EuBsLAwlJbW8pcCH3SArw99gBrCVXocwMrNzYU8+QcMGKDY5D/BkSNH1A9f\nWZ3QVZE3N66KBHEk8PX555+X59SKjY3Fe++9h4kTJ0J+qDvLoEGD8NFHHzkfqq+SxD07O7vS\ntkB/EBMTA7nu4uLiQO8q+xfEAs4k7vKCKNj+jwQxe8h2nUncQ/bW+/zCe0Z3xZbCHW7bKbWX\nojPa8+fc30LO11uOAtd/JHPklW1PiE0ISLOU2FRkarmuairJEdla370bwJL2kqJTkV3ovm2Z\njJkYVr3t4+au++Q0bxXfIiDNa7LmPt8LOJO4ywgVvjfwvXeotyBJ3BvjfYE8z1ko4C0B97+p\n3bQwZcoUyKc3ivwn6tGjR3nwSuocMmQI5s2bp/5zpaRwZSFvOLMOClCAAhSgQDAK3NH6Bty4\n4x7YtY+qxaStRDgu5SyuQlgBpkOHDuqRbZ/r0emWvSVq/wW9zq1wVuB8O35AHt78PhF2x/Hc\nXc7eGbSVCM88sQARJteBIudx9f06fkA+5ixPcNv22ScVINxF205z7LfAoH3YtI+Kxfq3+Rnd\nhlXczO8pQAEKUIACFKiHwPEhTvU4WaYMSrBpyZIl6uz9+/d7VEvHjh3V6K2Kwwp3794NGYWV\nnJzsUV08mAIUoAAFKECBpiXQP643HuswFSadEeH6MDWlUAJXeu1jZOIQTG37j6Z1wQ28Gnn9\nNGLECFj2l8C2qqhSbfY8K4oWZkFv0OPqC66stC9QHvRua8Ylg/Kg1zlgMkigygGjFriSiaSD\nOxfhvJMLfNbVPu1LcJEWQHPV9pCuRTint+u2nebF+woQs9agnqsG9QzVwZCv5c1aeAySPuKi\nMRf6rO+smAIUoAAFKBAqAjoteOTxn7K2bt2Km266CT/++KNymjBhAubOnauSD0oS9wceeACS\nf6e2kp+fj4svvhjjxo3Dddddp3JgPfbYYyp/1tSpU2s7HTKFMNjy+3AKYa23lQd4QcA5hVDy\nwjTGUGEvXAKrCCIBTiEMopsVpF3NtGTj25wfkaHLQpQjEoMi++KEmG5BejW+7faePXsgqztL\niodBl5+Ggq4WFB0tQPpn+1CUUYjZs2fj/PPP920nGlh7trbS4K97I5FZoK2mGGFH77YlaJ1U\nS5b1BrbpPD1La/PXfREossXA5CjEye1K0DKx5rYrmp9z9RiYekYhNz0HGz9ai5wjx4LC3Hn9\n/OpfAecUwpycHE4h9C99SLYms58kB7W/i/N57q925f+TvwsXYfCfuMcBrLy8PJx00kkqcCR5\nqlavXo22bduq/FSSeP3TTz+FrFQ4Z86cOl2FJL+cPn26+s8ksbShQ4fiwQcfVDm1aquAAaza\nhLg/VAUYwArVO984180AVuO4h1qrkmtIUgsUFBRA/gDG4l5AVsa7++67sWbNGrW4gowAksV1\nbr75Zpx33nnuT+SecgFP3+jRvJyO33gg4HxjzwCWB2g8tN4Cnv5cq3dDVU50Ps+rbPbZQwaw\nfEYbEBV7nAPrjTfegCRy/+2331Tg6tJLL1UXIi+OZBRWq1at8PLLL6vP6OjoWi+yV69e6jwJ\nRskw7LqM3Kq1Uh5AAQpQgAIUoAAFQlRA8jLNnz8fRUVFkMBK+/btUZfXZCHK5ZXLprlXGFkJ\nBShAAQpQoEYBj3NgbdiwAcOHD1fBK1c1X3bZZWo59X379rna7Xab/FWVwSu3PNxBAQpQgAIU\noAAFPBKIioqC/KGQwSuP2Bp0MM0bxMeTKUABClCAAjUKeBzAkl/MkgPLXZG/9klhEnZ3QtxO\nAQpQgAIUoAAFKEABClCAAhSgQGML7D5iwOdrIvDmskj8d3040nM8DpE0+BJsNhv+/e9/q1HT\n9a1MZsMtXLiwTqf//vvveOaZZ+p0bKAd5PHdGThwIHbu3IkFCxZUuxbJjyXwLVu2RFpaWrX9\n3EABClCAAhSgAAUoQAEKUIACFKAABRpTwG4H3tKCVo8viMGS38Kxemc4vvo1AtPmxuLrDbUv\nSOfNvksAa8aMGQ0KYH322WdYtGhRnbolAaznnnuuTscG2kEeJ3G3Wq049dRTsX79evVVglaS\nmK1r164qqFVcXKwSuTtzY/nygpnE3Ze6rDuYBZjEPZjvXvD1nUncg++eBWOPmcQ9GO9a8Pa5\nsZIdB68Ye14fAWdyayZxr48ez/FUoLF+rjmf5572t77H1zWJ+2c/ReCbTeGw2nXVmtLrHLhx\nVBEGdrZU2+dqA1chdKXim20ej8AyGo0qsicrDf7888+QVQQlmPXxxx9DbtwHH3wAfwSvfMPB\nWilAAQpQgAIUoAAFKEABClCAAhRoqgJFZqhRV66CV3LNdocOn2nTCr1VzGYzbrrpJkg+8Yrl\n/fffV4vfySChG264Adu3b1e7ZVG8xYsX484778SkSZOwY8cOtX3p0qXquAsvvBCff/45Zs+e\njf/+979q36xZs/Dhhx+q72UV4scff1zFaa677jqce+65eP755yEjvaRIHOeOO+5Q3zv/kTjO\nlVdeiauuukotBCN9cpavvvoKEv8ZOXKk2v+///3PucvvXz0OYEkPJXo7Z84cZGVlYe3atSqg\nJdj79+/HFVdc4feLYIMUoAAFKEABClCAAhSgAAUoQAEKUKA2gb0ZRuiqD7yqdFpWvgF5xbUc\nVOkM9w9ksbo9e/ZAgkzOYtfmME6bNg1hYWGQ79966y0cOnRI7Zbg1ZQpU1QAqqCgADExMSrm\nMnbsWLVg3mmnnYa77roL9913nzpGTpLg1sqVK9X5u3btwosvvqgCUm3atMEpp5yi2pKglpQ/\n/vhDDTxSD7R/HnnkEdx2221o0aIF+vfvj1tvvbW8r9Lnyy+/HB07dsTVV1+tVjiWgNi6deuc\np/v1q7EhrcmIqwEDBjSkCp5LAQpQgAIUoAAFKEABClCAAhSgAAX8IiADkWoLYElHbFqeLG8V\nGcEko7AkICQBre+//14NCLrssstcNiFTL+UYg8Gg9p9++umQ0VTOIJgEkWSlYXdF0i199913\nOPHEE9UhEhz75ptv8PDDD1c65fDhw3jsscewfPlyDBs2TO2TnOaS89zhcODo0aNq9JYE1KRI\nMEsGNMkor8aIBdVrBJbqeYV/JA/Wpk2b1AVW2MxvKUABClCAAhSgAAUoQAEKUIACFKBAwAi0\nTbHBWjabzm2fosPtSIhyuN3v6Y5x48ZpQTNd+UqBMmVPtrnLn9WvX7/y4NWxY8ewe/duNRXQ\n2W7Pnj3Rvn1758NqXyUA5gxeyc62bdtCRnNVLTKtUQJqQ4cOLd918cUX46OPPlL9lUX6zj//\nfHzxxRd44okn1JRGyXteUlJSfrw/v6lzAGvz5s245557VKedHZQ5lBIxTElJQe/evdGqVSu8\n++67zt38SgEKUIACFKAABShAAQpQgAIUoAAFAkYgIdqBAR0tMOpdB6hk+7l9zHUapVXXi4qI\niFCjlyRPVVFRkcozdc0117g9PTk5uXxfdna2+l6mA1YsspCSuxIVFVVpl16vdzng6MiRI2pR\nPgmuuSoyFbFDhw548skn1WgsCW41a9bM1aF+2VanAJbMoZSI3LPPPlueQEx6d//996sVB2VO\n5fTp09WcSUk+tmzZMr90no1QgAIUoAAFKEABClCAAhSgAAUoQAFPBK45owgtE21VglgOGLTg\nVZ8OFpx9spbp3ctFAlaSAF0WwJPg06hRo+rUQrt27RAdHY1ff/21/HgJPG3cuLH8cX2/6dSp\nE2TlRpkq6CwyKkvybUnO83vvvVfFgSTnlQSzLrroInWs5O1qjFKnHFgTJkxQw9fee+89FTWU\njv71119qLmS3bt1UwjCJKN5+++1qJJZcpKxMyEIBClCAAhSgAAUoQAEKUIACFKAABQJJIDIM\neGh8AX7cHoY1u0zILdKjebwdw3qUop82OssXRRKkd+nSRSVfl3xYMiqqLsVoNKpYiyR9t1gs\namqgJGSXHFUNLYMHD4ZMR5T+PPfcc4iNjcVDDz2E5s2bIy4uDjISLD09XSWal2mDU6dOhayq\nGLBTCCUaJxE4GSomSyoKnpSFCxeqi5CglQSvpMjFSrDr999/VxelNvIfClCAAhSgAAUoQAEK\nUIACFKAABSgQQAJGLT/6Gb1Kcf+4Qjx1eT7+dV6hz4JXzsuWZO4ysmny5MnOTXX6KonW5ZwZ\nM2bgggsuUEGnE044oTwWU6dKXBwk8Z358+fjwIED6Nq1qwqwSVxH2jOZTHjmmWcwd+5cNW0w\nLS1NrYgoaaQkRtQYRadF7WoM261YsQKS8V6Sdl144YXlfZw4caK6EJle2Llz5/Lt77zzDuSm\nSBBLQH1ZJLO+RCCDqcgSmJI7TBKfsVDAVwIyh1l+wEh03Dln2ldtsV4KyBDo/Px8tawvNSjg\nKwF5ESU5NyUBqTzfWCjgSwFZYSkjI8OXTbBuCqi8M5LAWQYM8L0BnxC+Fmisn2uSTNxdonJf\nXLP8f/J38cf1ffvtt+jTp48aESXXJ1P4JCeWBJpkdUJvFAmsSUJ3iVlULQcPHlTvL50Dmqru\n99fjWqcQOgNE8qLRWSTmJXmuJJN9xeCV7JfInZTWrVurr/yHAhSgAAUoQAEKUIACFKAABShA\nAQpQoH4CknNcErPPmjVLfZ05c6ZKBn/mmWfWr0IXZ1VMHF91d6DEd2qddCmrC0rZtGlT+TWs\nXbtW/VXKFdbq1atV8MofUcjyDvEbClCAAhSgAAUoQAEKUIACFKAABSjQBAXeeOMNlfh90KBB\nalXAVatWYcmSJf/P3p0AxlXWex//zZY9aZImJd13oBRogVJAWcumIi5sFxeuu1yEqxfF1+1e\nQUWvKwqCcEUF13JRQATkgqKogGWnULa2tHQvbZKm2TPr+zwTpmQ5M9lmOzPfp4TMPOc82+ec\nTDL/ec5z4rOwCnC4SYc04gwsO/PKTlWzi4TZaYeHHHJIfOEuW+MFF1wwqGJ7S0iLaK+JJCGA\nAAIIIIAAAggggAACCCCAAAIITEzA3jzP3r3QXjpolySySysUYxoxgGVRfvvb38qumG8XaE+k\nL3zhCzr++OPjT+16V5/85Cdl18uyt2G009pICCCAAAIIIIBAIQiEYxG1hvao2lepcl95IQwp\n78cQioa1J9ymGn+1yryled/fgR3s7PWYO0N5VF2em1uMD+wLjxFAAAEECkvA3rlwtHcvLKyR\n949mVAEsG5R65plndMcdd2jt2rU65ZRTBi3ovmPHjvgq9DbAdfnll6u+vr4QrRgTAggggAAC\nCBSRQEe4U9/f8mPd0/KAgrGgPObf0qrF+tzsS3RAxfwiksjeUPeE9uq7W67Xn1r/plAsHDdf\nXrNUn5t1ieaWz8peR8bR0hMby/T7J6rV2tX/53VVaURvXdKpExd1y9xbhYQAAggggAACExQY\n8S6Eo6m/t7dXPp8v69PYuAvhaI4O+xSjAHchLMajnrsxcxfC3NkXU8vZvgthR7hL73vhE9oZ\n3BUPpCSszeee8nm8+vEB39XS6sWJbL6nQaA11Kb3PH9RfOaVDV4lkjUPePz6+UFXm8DhgkR2\nRr+P9W5d//dspe5+ulpRM/NqYPJ5Y1o2t0cfOG7vwGweIxAXSNydjbsQckJkQ2Csr2vp6lPi\nPE9XfSPVU6h3IRxp3MWyfcRF3EcDUVZWlvXg1Wj6xT4IIIAAAggggMB4BK7d9rNhwStbT9T8\ns8GVz2/4uiLm0kJS+gS+t/mGYcErW7s1D8ZC+vwr30hfY2msaUebX3c9NTx4ZZuIRD16fEO5\nnt/qrssg08hDVQgggAACCKRNYFSXEKatNSpCAAEEEEAAAQTyXCAWi+mu5vsHzbwa2uXmYKue\n63zRzMI6eOgmno9DIBQN6f49f1N4wMyrgdXEFNOm3q1a171RCyvmDtyU88ePbyiTz3wkHE6y\n5FU0Jj2yrlyLZ/TlvK90AAEEECh0gdra2kIfYlGPLy0zsIpakMEjgAACCCCAQEEJdEa61BPt\nTTmmgNevbX07U+7DxtELtJhF8pMFrxK1lHgCxnxH4mnefN/V7jfBq8GXDg7unEev7eUz48Em\nPEMAAQQQQGDsAgSwxm5GCQQQQAABBBAoYIEKc6dBv8eXcoT2zoT1AT7lTYk0ho2TzN0G7SL5\nqZINcNXloXltRURej5lmlSLVcEfCFDpsQgABBBBAYHQCBLBG58ReCCCAAAIIIFAkAj4TvDp2\n0nL5zL9kyc4GOqz6kGSbyR+jQLkJGh5RfahZrj35n6bV/iotrjxgjDVnfvcls1JfGui3C7nP\n68l8R2gBAQQQQACBAhdI/ldCgQ+c4SGAAAIIIIAAAskEPjPzIpV4A44BFZ/J/cLsf1eZl4W5\nk/mNJ//zsy+Jz3xzmollA1v/NefSEWfGjafdiZZZ2BTUklm9soGqocnmTasL6aj5BLCG2vAc\nAQQQQACBsQoQwBqrGPsjgAACCCCAQMELzCibql8sukZzy2fGL20r9ZTEZ2RV+Sr11Xmf09sb\nTi14g2wPcH75HN206AeaWTrNhKs86jf3apKvWt9Z8F9aUXdstrs06vY+fEKbjj2gSx5zKaEN\nWvl9NpgV06EmsPWp01vji7yPujJ2RAABBBBAAAFHAVaUdGQhEwEEEEAAAQSKXWCBudvd7w7+\nidabO99t6duuSf4aHVJ5oAJmZhYpMwIHVe6vOw+9WS93r9f2vtdU56/VwVUH5uXMq4EC9i6E\n5x3VoTOWdurV3SWydx6cOTmk2ooktyYcWJjHCCCAAAIIIDAqAQJYo2JiJwQQQAABBBAoVgEb\nyLJfpOwJHFCxQPbLbamyNKbFM1KvieW2MdFfBBBAAAEE8kWASwjz5UjQDwQQQAABBBBAAAEE\nEEAAAQQQQAABRwECWI4sZCKAAAIIIIAAAggggAACCCCAAAII5IsAAax8ORL0AwEEEEAAAQQQ\nQAABBBBAAAEEEEDAUYAAliMLmQgggAACCCCAAAIIIIAAAggggAAC+SJAACtfjgT9QAABBBBA\nAAEEEEAAAQQQQAABBBBwFCCA5chCJgIIIIAAAggggAACCCCAAAIIIIBAvggQwMqXI0E/EEAA\nAQQQQAABBBBAAAEEEEAAAQQcBQhgObKQiQACCCCAAAIIIIAAAggggAACCCCQLwIEsPLlSNAP\nBBBAAAEEEEAAAQQQQAABBBBAAAFHAQJYjixkIoAAAggggAACCCCAAAIIIIAAAgjkiwABrHw5\nEvQDAQQQQAABBBBAAAEEEEAAAQQQQMBRgACWIwuZCCCAAAIIIIAAAggggAACCCCAAAL5IkAA\nK1+OBP1AAAEEEEAAAQQQQAABBBBAAAEEEHAUIIDlyEImAggggAACCCCAAAIIIIAAAggggEC+\nCBDAypcjQT8QQAABBBBAAAEEEEAAAQQQQAABBBwFCGA5spCJAAIIIIAAAggggAACCCCAAAII\nIJAvAgSw8uVI0A8EEEAAAQQQQAABBBBAAAEEEEAAAUcBv2MumQUn4N21S97tWyWvT5HZcxSb\nNKngxsiAEEAAAQTyV6A1tEdPd6xRb7RPCyvmaX/zNdoUjUX1TMfzau1pU1mkVAf5F6rSVzFi\n8Wg0qltuuUV/uPcurX1lrSY11urwpYfrP//ji6qrqxuxPDsgMFqBxLn22zvu17pXNqqqdqoO\nW7pU3/ivCznXRovIfggggAACCIwgQABrBCC3b/Z0dqrsll/Lt36dFAhIMTOicEihI5er751n\nSX5OAbcfY/qPAAII5LNAJBbRNVt+ol+9drsCHr88Ho/6okEdVLm/vjP/y5paOiVl91/oWqv/\nt/5r2hncpRJfiSLRiNnfo0tnfkzn7/eupGXD4bDOOfdcPfboo/JNCah0/0q1Nrfr5Rtf1G23\n3aaf3vRTnXzkSUnLswGB0QrYc+3dZ5+rJx9/VBW1s1U38yh1tG3Wnbdco/vuuVXXXn+z3rbi\n0NFWx34IIIAAAgggkESA6EUSmILINn9Qlf/PdfK2tpo/9U0KhfYNK/DUk7LBrd4PfHhfHg8Q\nQAABBBBIt8B/b/qh/tB8v6LmX18s2P9Bimnkpa71+sCLn9RtB/9E1f4qx2Y39W7Vh1+8VMFY\nyHz+ElNPpHffft/bcoNi5kOZ9zQ5B7GuvvrqePCq4uR6VX2iSR5//Dehele1a++3tuij//4x\nPfXgE6orq91XJw8QGI+APdds8GrW4R/U0nf/2Ex2Nx8YmrT9+d/rsd+crUs//Wkd8/d7VVfT\nnz+eNiiDAAIIIIAAAuaCMhAKVyDw2Cp59+yRJ2I/rR6cbJ7/5Zfke2X94A08QwABBBBAIE0C\nr/S8qtt3/1EhE4AamiKKaG+4XT/feevQTfueX7XlfxQ2M7hs8Gposvk/2HqjOiNdQzfJXs51\n7XXXylPjU+XHpuwLXtkdy46uUdmJterb3K3L//frw8qSgcBYBOy5ds0Pf6SSygYdeuYP9wWv\nbB3TFr9Lsw77V3XsekGXXfXwWKplXwQQQAABBBBwECCA5YBSKFn+Z1fLY2ZhpUr+l15MtZlt\nCCCAAAIIjFvgH22PqsSTfNaJnVn1p9a/O9YfM9OrHtn7hAlzDf8QJlHABraebH828XTf961b\nt6qvt09liwxyyq8AAEAASURBVKrkLffty088KD2if8bXqjWPJrL4jsC4BOy5Fgr2aPLsN8tf\nOnwm4X77vzVe78b1/L01LmAKIYAAAgggMECAANYAjEJ76Oka/qn0wDF6zKeGns6OgVk8RgAB\nBBBAIG0Ce8Md8RlUqSpsj3Q6bu6N9pqyqT+E8Xm82htpH1Z+w4YN8TxPg/NKCd6G/qBax47h\nZYdVRgYCKQQS51r5pFmOe5XXzoznd+151XE7mQgggAACCCAwegECWKO3ct2e0SlTHC66eGMY\nMbOAe7Qx9eK5b+zNIwQQQAABBMYmMLNsmvye4TOgBtYys3TawKf7Hpf7ylXtGz6jZd8O5kEo\nGtLM0ukDs+KP6+vr+/M6o8O22YxYe/+srknVNY7byURgtAKJcy3Y3eJYpK+rOZ5fUlbtuJ1M\nBBBAAAEEEBi9AAGs0Vu5bs/QUceYVc5SHGKzDlbI3E6chAACCCCAQCYEVtQdm7Jae1fC86ac\nmXSfsxvPMHcudL4E0S7JPqWkUYdWLRpWfu7cufG80Ks9w7bZjNDG/sXgj1643HE7mQiMViBx\nrrXvfNaxSPuO1fH8g/af4bidTAQQQAABBBAYvUCK6MboK2HP/BSI7H+AQkcepZhv8Kffdinc\nmL2N+TvfrVjiU+r8HAK9QgABBBBwsUCtv0Zfm/c5c8cYb//dcAeMxQamjpt0lM6YfMqA3MEP\nPz7t/ZpbNnNYEMtn6gt4SvTt+f8ln8MMr+rqaq1YsUKhTb3qe7hjUNvR9rB67m6Rx+fRp8/5\n5OAGeYbAGAUS51r7a2u07Tl7Q4I3bjhgZ2W98s+r5fH69KWLVoyxZnZHAAEEEEAAgaECvitM\nGprplufd3d3xOw25pb+2nyUlJea23zGFR1hcPV1jiiw6SLGaGnl37JCntzf+Z1V06lT1nvMv\nCi89LF3NUE+eCXhMgLKqqkoRM8uup8d5BkKedZnuuFigvLxcwWDQda/HLiZ3Vdfnl8/WU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uFXP9Yv7/qVdr66Q97JAU1bNENf+o8v6i2z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\n9wt4z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hNPPKE77rgjfsnT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\nQIAAAQIECBAgQIAAAQIECHQV+P8obo9uM435owAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 600,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot all the data, colored by species\n",
    "ggplot(dat,aes(x=Petal.Length,y=Sepal.Length,col=Species)) + \n",
    "    geom_point(size=2) + \n",
    "    # circle the test items:\n",
    "    geom_point(data=dat[test.inds,],aes(x=Petal.Length,y=Sepal.Length),size=4,color=\"black\",shape=\"o\") "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "T4M4t1hjYa52"
   },
   "source": [
    "See if you can predict which of the test items (circled in black above) will be incorrectly classified using the KNN method. \n",
    "\n",
    "## Predicting the species using kNN\n",
    "\n",
    "Now let's try out kNN for `k` = 5. The `knn()` function is part of the `class()` package. As input, it takes a dataframe of the training predictors, training specifications/classifications, the test predictors, and the desired `k`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 52
    },
    "executionInfo": {
     "elapsed": 323,
     "status": "ok",
     "timestamp": 1611794999788,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "H7-VC1KkYZ1i",
    "outputId": "884154d5-f93a-4bcb-8c4a-0d11702e67db"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>versicolor</li><li>virginica</li><li>setosa</li><li>setosa</li><li>versicolor</li><li>versicolor</li><li>setosa</li><li>virginica</li><li>virginica</li><li>setosa</li></ol>\n",
       "\n",
       "<details>\n",
       "\t<summary style=display:list-item;cursor:pointer>\n",
       "\t\t<strong>Levels</strong>:\n",
       "\t</summary>\n",
       "\t<style>\n",
       "\t.list-inline {list-style: none; margin:0; padding: 0}\n",
       "\t.list-inline>li {display: inline-block}\n",
       "\t.list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "\t</style>\n",
       "\t<ol class=list-inline><li>'setosa'</li><li>'versicolor'</li><li>'virginica'</li></ol>\n",
       "</details>"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item versicolor\n",
       "\\item virginica\n",
       "\\item setosa\n",
       "\\item setosa\n",
       "\\item versicolor\n",
       "\\item versicolor\n",
       "\\item setosa\n",
       "\\item virginica\n",
       "\\item virginica\n",
       "\\item setosa\n",
       "\\end{enumerate*}\n",
       "\n",
       "\\emph{Levels}: \\begin{enumerate*}\n",
       "\\item 'setosa'\n",
       "\\item 'versicolor'\n",
       "\\item 'virginica'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. versicolor\n",
       "2. virginica\n",
       "3. setosa\n",
       "4. setosa\n",
       "5. versicolor\n",
       "6. versicolor\n",
       "7. setosa\n",
       "8. virginica\n",
       "9. virginica\n",
       "10. setosa\n",
       "\n",
       "\n",
       "\n",
       "**Levels**: 1. 'setosa'\n",
       "2. 'versicolor'\n",
       "3. 'virginica'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] versicolor virginica  setosa     setosa     versicolor versicolor\n",
       " [7] setosa     virginica  virginica  setosa    \n",
       "Levels: setosa versicolor virginica"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(class)\n",
    "\n",
    "#training data pulls the \"not test\" rows\n",
    "train.preds <- cbind(dat$Petal.Length[-test.inds], dat$Sepal.Length[-test.inds])\n",
    "train.spec <- dat$Species[-test.inds]\n",
    "#testing data pulls the test rows\n",
    "test.preds <- cbind(dat$Petal.Length[test.inds], dat$Sepal.Length[test.inds])\n",
    "\n",
    "#run knn\n",
    "test.spec.knn <- knn(train.preds, test.preds, train.spec, k = 5)\n",
    "\n",
    "#print first 10 test specifications\n",
    "test.spec.knn[1:10]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "TSD2ILGRkvye"
   },
   "source": [
    "## Assessing kNN performance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "YmbxnSDabk9n"
   },
   "source": [
    "Let's see how it did at classifying these irises by comparing our `test.spec.knn` object above to the true classifications for the test set. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 617
    },
    "executionInfo": {
     "elapsed": 902,
     "status": "ok",
     "timestamp": 1611799984329,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "1UqZgcmCbq_0",
    "outputId": "b7b83a3b-d150-41fd-d671-0841be9d5d46"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EpXP1RDgAABAgQIECBAgAABAgQIECCw\nl4AAay8QdwkQIECAAAECBAgQIECAAAECBNIlIMBKVz9UQ4AAAQIECBAgQIAAAQIECBAgsJeA\nAGsvEHcJECBAgAABAgQIECBAgAABAgTSJZCKAOuZZ56Jb37zm3H33XfHxMREuoRUQ4AAAQIE\nCBAgQIAAAQIECBAgsKACxQWdvTT5Jz7xibjlllvijDPOiH/7t3+L/v7+uPLKK+Owww5b6NLM\nT4AAAQIECBAgQIAAAQIECBAgkAKBBT0D65FHHol///d/j8suuyz+4i/+Ir7yla9EU1NTfO1r\nX0sBjRIIECBAgAABAgQIECBAgAABAgTSILCgAdbIyEjZ4JBDDil/LhQKsWbNmhgYGEiDjRoI\nECBAgAABAgQIECBAgAABAgRSIFAoXXNqwS46NT4+HhdffHEkwdU73/nOSM7I+qd/+qfy2wpP\nOumkPXjuvPPO+PznP7/HY8m+xx9//B6Ppf1OsVgsX+drbGws7aWqL+MCra2tkRxnk0Fxxpej\n/BQLJGfOJsda8jXdRqBaAsnPCi0tLTE6Olr+qNY8xiWQCDQ3N8fw8DAMAlUVaGxsLL/7JPlZ\nze8GVaU2eElgob6uJd+3Ozs79YBARQQWNMBKVnDffffFJZdcUl7M4OBgvOUtbynfT76gT92S\ntxr+8R//8dSH4ktf+lKcdtppezzmDgECBAgQIECAAAECBAgQILDwAn19fdHR0bHwhaigLgQW\nNMBKzqpKwqsPfehDcc4558SvfvWr8tlXydsIL7300j2Ak3+ZSAKuqVtywfcFPIFsaikzvp38\nz5v8C8vea5nxAF5IYAYCyZkKK1eujKGhodi+ffsM9vASAnMXWLp0aezatctZMXMntOcMBJIz\n/bq7uyP5Qbi3t3cGe3gJgbkLLF++PLZu3Tr3AexJYAYCbW1tsWTJktixY4dLqMzAy0vmJ7BQ\nX9eSd4UkPyvaCFRCYEH/CuGNN94Y69evjze+8Y3ltRx77LHxO7/zO/Hxj3+8/NcI29vbd68x\n+cE1+Zi6Jb+cZ/XtUVkL3qa6u50tAcdatvqV1WqT48yxltXuZaPuyePLsZaNftVDlZPHXD2s\nxRrSKTB5jPm6ls7+1GNVk8dcPa7NmvIhsKAXcU/OQtr7dMLkrYPJ+2STcMpGgAABAgQIECBA\ngAABAgQIECBAYEEDrLPPPjuStxHecMMN5Yv//uIXv4ivf/3rsWHDhujq6tIdAgQIECBAgAAB\nAgQIECBAgAABArGgbyE8/fTTy3+F8K//+q/j05/+dPm6UK9+9avL18TSGwIECBAgQIAAAQIE\nCBAgQIAAAQKJwIIGWEkBb3/72+Pcc8+Np59+unxxt6nXvUqetxEgQIAAAQIECBAgQIAAAQIE\nCORbYMEDrIS/oaEhDjvssHx3wuoJECBAgAABAgQIECBAgAABAgT2K7Cg18Dab0UeJECAAAEC\nBAgQIECAAAECBAgQIDBFQIA1BcNNAgQIECBAgAABAgQIECBAgACB9AkIsNLXExURIECAAAEC\nBAgQIECAAAECBAhMERBgTcFwkwABAgQIECBAgAABAgQIECBAIH0CAqz09URFBAgQIECAAAEC\nBAgQIECAAAECUwQEWFMw3CRAgAABAgQIECBAgAABAgQIEEifgAArfT1REQECBAgQIECAAAEC\nBAgQIECAwBQBAdYUDDcJECBAgAABAgQIECBAgAABAgTSJyDASl9PVESAAAECBAgQIECAAAEC\nBAgQIDBFQIA1BcNNAgQIECBAgAABAgQIECBAgACB9AkIsNLXExURIECAAAECBAgQIECAAAEC\nBAhMERBgTcFwkwABAgQIECBAgAABAgQIECBAIH0CAqz09URFBAgQIECAAAECBAgQIECAAAEC\nUwQEWFMw3CRAgAABAgQIECBAgAABAgQIEEifgAArfT1REQECBAgQIECAAAECBAgQIECAwBQB\nAdYUDDcJECBAgAABAgQIECBAgAABAgTSJyDASl9PVESAAAECBAgQIECAAAECBAgQIDBFQIA1\nBcNNAgQIECBAgAABAgQIECBAgACB9AkU01eSiggQIECAAAECBAgQIECg3gSe3F6MWza1x9M9\nxTj1mIE45aiBaPIbab212XoIVE3AGVhVozUwAQIECBAgQIAAAQIECCQC/UOF+NvvLot1q4bi\ngtduj01PtcTNmzrgECBAYMYCAqwZU3khAQIECBAgQIAAAQIECMxF4JdbmqOrYzxeuXYoOlsn\nYuP6XXHno61zGco+BAjkVECAldPGWzYBAgQIECBAgAABAgRqJVBsnIj25vHd07U3T0RPf+Pu\n+24QIEDgYAICrIMJeZ4AAQIECBAgQIAAAQIE5iVw3MrheGZHMXoHnv8V9Ce/ao213SPzGtPO\nBAjkS8Al8/LVb6slQIAAAQIECBAgQIBAzQUaSrnVeafujC/c2BWjYxGFUgUXnb295nWYkACB\n7AoIsLLbO5UTIECAAAECBAgQIEAgMwInHTkYycfgSCFamyYyU7dCCRBIh4C3EKajD6ogQIAA\nAQIECBAgQIBALgSEV7los0USqLiAAKvipAYkQIAAAQIECBAgQIAAAQIECBCopIAAq5KaxiJA\ngAABAgQIECBAgAABAgQIEKi4gACr4qQGJECAAAECBAgQIECAAAECBAgQqKSAAKuSmsYiQIAA\nAQIECBAgQIAAAQIECBCouIAAq+KkBiRAgAABAgQIECBAgAABAgQIEKikgACrkprGIkCAAAEC\nBAgQIECAAAECBAgQqLiAAKvipAYkQIAAAQIECBAgQIAAAQIECBCopIAAq5KaxiJAgAABAgQI\nECBAgAABAgQIEKi4gACr4qQGJECAAAECBAgQIECAAAECBAgQqKSAAKuSmsYiQIAAAQIECBAg\nQIAAAQIECBCouIAAq+KkBiRAgAABAgQIECBAgAABAgQIEKikgACrkprGIkCAAAECBAgQIECA\nAAECBAgQqLiAAKvipAYkQIAAAQIECBAgQIAAAQIECBCopIAAq5KaxiJAgAABAgQIECBAgAAB\nAgQIEKi4gACr4qQGJECAAAECBAgQIECAAAECBAgQqKSAAKuSmsYiQIAAAQIECBAgQIAAAQIE\nCBCouIAAq+KkBiRAgAABAgQIECBAgAABAgQIEKikgACrkprGIkCAAAECBAgQIECAAAECBAgQ\nqLiAAKvipAYkQIAAAQIECBAgQIAAAQIECBCopIAAq5KaxiJAgAABAgQIECBAgAABAgQIEKi4\ngACr4qQGJECAAAECBAgQIECAAAECBAgQqKSAAKuSmsYiQIAAAQIECBAgQIAAAQIECBCouIAA\nq+KkBiRAgAABAgQIECBAgAABAgQIEKikgACrkprGIkCAAAECBAgQIECAAAECBAgQqLiAAKvi\npAYkQIAAAQIECBAgQIAAAQIECBCopIAAq5KaxiJAgAABAgQIECBAgAABAgQIEKi4gACr4qQG\nJECAAAECBAgQIECAAAECBAgQqKSAAKuSmsYiQIAAAQIECBAgQIAAAQIECBCouIAAq+KkBiRA\ngAABAgQIECBAgAABAgQIEKikgACrkprGIkCAAAECBAgQIECAAAECBAgQqLiAAKvipAYkQIAA\nAQIECBAgQIAAAQIECBCopIAAq5KaxiJAgAABAgQIECBAgAABAgQIEKi4gACr4qQGJECAAAEC\nBAgQIECAAAECBAgQqKSAAKuSmsYiQIAAAQIECBAgQIAAAQIECBCouIAAq+KkBiRAgAABAgQI\nECBAgAABAgQIEKikgACrkprGIkCAAAECBAgQIECAAAECBAgQqLiAAKvipAYkQIAAAQIECBAg\nQIAAAQIECBCopIAAq5KaxiJAgAABAgQIECBAgAABAgQIEKi4gACr4qQGJECAAAECBAgQIECA\nAAECBAgQqKSAAKuSmsYiQIAAAQIECBAgQIAAAQIECBCouIAAq+KkBiRAgAABAgQIECBAgAAB\nAgQIEKikgACrkprGIkCAAAECBAgQIECAAAECBAgQqLiAAKvipAYkQIAAAQIECBAgQIAAAQIE\nCBCopIAAq5KaxiJAgAABAgQIECBAgAABAgQIEKi4gACr4qQGJECAAAECBAgQIECAAAECBAgQ\nqKSAAKuSmsYiQIAAAQIECBAgQIAAAQIECBCouIAAq+KkBiRAgAABAgQIECBAgAABAgQIEKik\ngACrkprGIkCAAAECBAgQIECAAAECBAgQqLhAseIjGpAAAQIECBAgQIAAAQIEqiIwNh5x+8Pt\ncffm1lixeDTOWtcfq7tGqzKXQZ8XGC7xfv22pfHAEy2xpH0sfmtDb2xYO1QTHv2uCbNJMiLg\nDKyMNEqZBAgQIECAAAECBAgQuP7+jrjnsZY4/8yeOOnIwbjqhmWRhBy26gl8/ntd8eCTzXHx\nrz8Xv3Zsf1x9U1ckoVYtNv2uhbI5siIgwMpKp9RJgAABAgQIECBAgEDuBe59rDVeUzrramn7\neJywajgOXzYSD5bODLJVT+DRZ5vLZ7od0T0aG0/sj86W8bjuvs7qTThlZP2eguFm7gUEWLk/\nBAAQIECAAAECBAgQIJAVgWLjRLSXApTJra15PHr6Gyfv+lwFgYZClN86ODl0c9NEbNlZm6vx\n6Pekus8EIgRYjgICBAgQIECAAAECBAhkRGDD2sHy9a+ScgdHCvHQky2xdvlwRqrPZpnrVg3F\nbZvay8X39DfEc72NsX7NYE0Wo981YTZJRgRqExtnBEOZBAgQIECAAAECBAgQSLPAKUcPxDV3\nLY7Lr+2OnaUwZeP6vkje2marnsBbX7Uz/u4/u+MDX1sZI2OFOHHNUJx6TG0CLP2uXl+NnD0B\nAVb2eqZiAgQIECBAgAABAgRyKtDZOhHvOX1H+SLixdL7aRq8p6bqR8LKJePxV2/fErtKmVVr\n6TfoYg1/i9bvqrfXBBkSqOH/ehlSUSoBAgQIECBAgAABAgRSLNDsN7mad6ezteZT7p5Qv3dT\nuJFjAXl9jptv6QQIECBAgAABAgQIECBAgACBLAgIsLLQJTUSIECAAAECBAgQIECAAAECBHIs\nIMDKcfMtnQABAgQIECBAgAABAgQIECCQBQEBVha6pEYCBAgQIECAAAECBAgQIECAQI4FBFg5\nbr6lEyBAgAABAgQIECBAgAABAgSyICDAykKX1EiAAAECBAgQIECAAAECBAgQyLGAACvHzbd0\nAgQIECBAgAABAgQIECBAgEAWBARYWeiSGgkQIECAAAECBAgQIECAAAECORYQYOW4+ZZOgAAB\nAgQIECBAgAABAgQIEMiCgAArC11SIwECBAgQIECAAAECBAgQIEAgxwICrBw339IJECBAgAAB\nAgQIECBAgAABAlkQEGBloUtqJECAAAECBAgQIECAAAECBAjkWECAlePmWzoBAgQIECBAgAAB\nAgQIECBAIAsCAqwsdEmNBAgQIECAAAECBAgQIECAAIEcCwiwctx8SydAgAABAgQIECBAgAAB\nAgQIZEFAgJWFLqmRAAECBAgQIECAAAECBAgQIJBjAQFWjptv6QQIECBAgAABAgQIECBAgACB\nLAgIsLLQJTUSIECAAAECBAgQIECAAAECBHIsUMzx2i2dAAECBAgQIECAAAECBHIg8L+fK8at\nm9pja28xDusaide+pD+WLxrLwcotkUD9CAiw6qeXVkKAAAECBAgQIECAAAECewn8+NHW+PIt\nS8uPTkQhNj3dHDf/rCP+r3O2xfGrhvd6tbsECKRVwFsI09oZdREgQIAAAQIECBAgQIDAvAT6\nhgrx1e8vjSS4Sj6SbWKiEGPjEX9/89Ly53lNYGcCBGomIMCqGbWJCBAgQIAAAQIECBAgQKCW\nApueaikFV/vbCtE31BD/e1vT/p70GAECKRQQYKWwKUoiQIAAAQIECBAgQIAAgfkLDI8WXjjv\nat+xkvOxRkrP2wgQyIaAACsbfVIlAQIECBAgQIAAAQIECMxS4JhDhqd9m2BDKbs6vHtkliN6\nOQECCyUgwFooefMSIECAAAECBAgQIECAQFUFViwei9e8pC8aCnu+kbBQuv+2k3dGa9Oej1e1\nGIMTIDAvAX+FcF58diZAgAABAgQIECBAgACBNAu849TeWFkKsm54oCN29DfG8kWj8cZX7oqT\njxpMc9lqI0BgLwEB1l4g7hIgQIAAAQIECBAgQIBA/QgUSm8VfM1L+ssf9bMqKyGQPwFvIcxf\nz62YAAECBAgQIECAAAECBAgQIJApAQFWptqlWAIECBAgQIAAAQIECBAgQIBA/gQEWPnruRUT\nIECAAAECBAgQIECAAAECBDIlIMDKVLsUS4AAAQIECBAgQIAAAQIECBDIn4AAK389t2ICBAgQ\nIECAAAECBAgQIECAQKYEBFiZapdiCRAgQIAAAQIECBAgQIAAAQL5ExBg5a/nVkyAAAECBAgQ\nIECAAAECBAgQyJSAACtT7VIsAQIECBAgQIAAAQIECBAgQCB/AgKs/PXcigkQIECAAAECBAgQ\nIECAAAECmRIQYGWqXYolQIAAAQIECBAgQIAAAQIECORPQICVv55bMQECBAgQIECAAAECBAgQ\nIEAgUwICrEy1S7EECBAgQIAAAQIECBAgQIAAgfwJCLDy13MrJkCAAAECBAgQIECAAAECBAhk\nSkCAlal2KZYAAQIECBAgQIAAAQIECBAgkD8BAVb+em7FBAgQIECAAAECBAgQIECAAIFMCQiw\nMtUuxRIgQIAAAQIECBAgQIAAAQIE8icgwMpfz62YAAECBAgQIECAAAECBAgQIJApAQFWptql\nWAIECBAgQIAAAQIECBAgQIBA/gQEWPnruRUTIECAAAECBAgQIECAAAECBDIlIMDKVLsUS4AA\nAQIECBAgQIAAAQIECBDIn4AAK389t2ICBAgQIECAAAECBAgQIECAQKYEBFiZapdiCRAgQIAA\nAQIECBAgQIAAAQL5EyhmecmNjY2RfGRpKxaL0dDQEBMTE1kqW60ZFUiOtdbW1oxWr+ysCCTH\nWUtLSyRf32wEqiUw+f0+Oc58XauWsnEnBQqFguNsEsPnqgk0NTWVx04++92gaswGfkFgob6u\nJfPaCFRKINO/bSQ/zCa/OGVpS2pO/iee/IaVpdrVmj0Bx1r2epbFipOvw5PhfBbrV3M2BCa/\n3yeffQ/NRs+yXKXvn1nuXnZqnwzmk8++rmWnb1mtdKG+rglns3rEpLPuTAdYw8PDMTIykk7Z\naarq7OyMsbGxGBgYmOYVHiYwf4HkG9Tksdbb2zv/AY1A4AACSXjV19cXo6OjB3iVpwjMTyD5\n5a69vT2S7/2+rs3P0t4HF0jO8nOcHdzJK+Yn0NbWVj7Tb3Bw0O8G86O09wwEFurrWnKc2whU\nSiBbpy9VatXGIUCAAAECBAgQIECAAAECBAgQyIyAACszrVIoAQIECBAgQIAAAQIECBAgQCCf\nAgKsfPbdqgkQIECAAAECBAgQIECAAAECmREQYGWmVQolQIAAAQIECBAgQIAAAQIECORTQICV\nz75bNQECBAgQIECAAAECBAgQIEAgMwICrMy0SqEECBAgQIAAAQIECBAgQIAAgXwKCLDy2Xer\nJkCAAAECBAgQIECAAAECBAhkRkCAlZlWKZQAAQIECBAgQIAAAQIECBAgkE8BAVY++27VBAgQ\nIECAAAECBAgQIECAAIHMCAiwMtMqhRIgQIAAAQIECBAgQIAAAQIE8ikgwMpn362aAAECBAgQ\nIECAAAECBAgQIJAZAQFWZlqlUAIECBAgQIAAAQIECBAgQIBAPgUEWPnsu1UTIECAAAECBAgQ\nIECAAAECBDIjIMDKTKsUSoAAAQIECBAgQIAAAQIECBDIp4AAK599t2oCBAgQIECAAAECBAgQ\nIECAQGYEBFiZaZVCCRAgQIAAAQIECBAgQIAAAQL5FBBg5bPvVk2AAAECBAgQIECAAAECBAgQ\nyIyAACszrVIoAQIECBAgQIAAAQIECBAgQCCfAgKsfPbdqgkQIECAAAECBAgQIECAAAECmREQ\nYGWmVQolQIAAAQIECBAgQIAAAQIECORTQICVz75bNQECBAgQIECAAAECBAgQIEAgMwICrMy0\nSqEECBAgQIAAAQIECBAgQIAAgXwKCLDy2XerJkCAAAECBAgQIECAAAECBAhkRqCYmUoVSoAA\nAQIECBAgQIAAgZwLjI1H3P5we9y9uTVWLB6Ns9b1x+qu0ZyrWD4BAnkQcAZWHrpsjQQIECBA\ngAABAgQI1IXA9fd3xD2PtcT5Z/bESUcOxlU3LIsk1LIRIECg3gUEWPXeYesjQIAAAQIECBAg\nQKBuBO59rDVeUzrramn7eJywajgOXzYSDz7RUjfrsxACBAhMJyDAmk7G4wQIECBAgAABAgQI\nEEiZQLFxItpbXjzlqq15PHr6G1NWpXIIECBQeQEBVuVNjUiAAAECBAgQIECAAIGqCGxYO1i+\n/lUy+OBIIR56siXWLh+uylwGJUCAQJoEXMQ9Td1QCwECBAgQIECAAAECBA4gcMrRA3HNXYvj\n8mu7Y2d/Q2xc3xdHdLuI+wHIPEWAQJ0ICLDqpJGWQYAAAQIECBAgQIBA/Qt0tk7Ee07fEcOl\nzKpYej9Ng/fU1H/TrZAAgbKAAMuBQIAAAQIECBAgQIAAgYwJNPtNLmMdUy4BAvMVkNfPV9D+\nBAgQIECAAAECBAgQIECAAAECVRUQYFWV1+AECBAgQIAAAQIECBAgQIAAAQLzFRBgzVfQ/gQI\nECBAgAABAgQIECBAgAABAlUVEGBVldfgBAgQIECAAAECBAgQIECAAAEC8xUQYM1X0P4ECBAg\nQIAAAQIECBAgQIAAAQJVFRBgVZXX4AQIECBAgAABAgQIECBAgAABAvMVEGDNV9D+BAgQIECA\nAAECBAgQIECAAAECVRUQYFWV1+AECBAgQIAAAQIECBAgQIAAAQLzFRBgzVfQ/gQIECBAgAAB\nAgQIECBAgAABAlUVEGBVldfgBAgQIECAAAECBAgQIECAAAEC8xUQYM1X0P4ECBAgQIAAAQIE\nCBAgQIAAAQJVFRBgVZXX4AQIECBAgAABAgQIECBAgAABAvMVEGDNV9D+BAgQIECAAAECBAgQ\nIECAAAECVRUQYFWV1+AECBAgQIAAAQIECBAgQIAAAQLzFRBgzVfQ/gQIECBAgAABAgQIECBA\ngAABAlUVEGBVldfgBAgQIECAAAECBAgQIECAAAEC8xUQYM1X0P4ECBAgQIAAAQIECBAgQIAA\nAQJVFRBgVZXX4AQIECBAgAABAgQIECBAgAABAvMVEGDNV9D+BAgQIECAAAECBAgQIECAAAEC\nVRUQYFWV1+AECBAgQIAAAQIECBAgQIAAAQLzFSjOdwD7EyBAgAABAgQIECBAgED9C4yNR9z+\ncHvcvbk1ViwejbPW9cfqrtH6X7gVEiCQCgFnYKWiDYogQIAAAQIECBAgQIBAugWuv78j7nms\nJc4/sydOOnIwrrphWSShlo0AAQK1EBBg1ULZHAQIECBAgAABAgQIEMi4wL2PtcZrSmddLW0f\njxNWDcfhy0biwSdaMr4q5RMgkBUBAVZWOqVOAgQIECBAgAABAgQILKBAsXEi2ltePOWqrXk8\nevobF7AiUxMgkCcBAVaeum2tBAgQIECAAAECBAgQmKPAhrWD5etfJbsPjhTioSdbYu3y4TmO\nZjcCBAjMTsBF3Gfn5dUECBAgQIAAAQIECBDIpcApRw/ENXctjsuv7Y6d/Q2xcX1fHNHtIu65\nPBgsmsACCAiwFgDdlAQIECBAgAABAgQIEMiaQGfrRLzn9B0xXMqsiqX38jR4P0/WWqheApkW\nEGBlun2KJ0CAAAECBAgQIECAQG0Fmv0WWVtwsxEgUBaQmTsQCBAgQIAAAQIECBAgQIAAAQIE\nUi0gwEp1exRHgAABAgQIECBAgAABAgQIECAgwHIMECBAgAABAgQIECBAgAABAgQIpFpAgJXq\n9iiOAAECBAgQIECAAAECBAgQIEBAgOUYIECAAAECBAgQIECAAAECBAgQSLWAACvV7VEcAQIE\nCBAgQIAAAQIECBAgQICAAMsxQIAAAQIECBAgQIAAAQIECBAgkGoBAVaq26M4AgQIECBAgAAB\nAgQIECBAgAABAZZjgAABAgQIECBAgAABAgQIECBAINUCAqxUt0dxBAgQIECAAAECBAgQIECA\nAAECAizHAAECBAgQIECAAAECBAgQIECAQKoFBFipbo/iCBAgQIAAAQIECBAgQIAAAQIEBFiO\nAQIECBAgQIAAAQIECBAgQIAAgVQLCLBS3R7FESBAgAABAgQIECBAgAABAgQICLAcAwQIECBA\ngAABAgQIECBAgAABAqkWEGCluj2KI0CAAAECBAgQIECAAAECBAgQEGA5BggQIECAAAECBAgQ\nIECAAAECBFItIMBKdXsUR4AAAQIECBAgQIAAAQIECBAgIMByDBAgQIAAAQIECBAgQIAAAQIE\nCKRaoJjq6hRHgAABAgQIECBAgACBOhN4bGtT3PLzttiyK+KQRW1x1vEjcXj36IxWOVJ62S2b\nOuLex1qiUIh4xRGDccYJ/dHUOKPdvYgAAQKZFRBgZbZ1CidAgAABAgQIECBAYK4CT24vloKg\n9ni6pxinHjMQpxw1EE01+O3ozl+2xpduXhoTLxT+SDTH7ZuWxwWv64kNawcPuJyhkUL89f/X\nXa55fKKUXpW2XzzTHD/6RVtc8pvP1aT+AxboSQIECFRRwFsIq4hraAIECBAgQIAAAQIE0ifQ\nP1SIv/3usli3aigueO322PRUS9xcOqup2ttgKYD66veT8CoJn54PoJLbycdXbl0SSUB1oO26\n+zviqVLgNhleJa8dKwVZj29vihsfqn79B6rNcwQIEKi2gACr2sLGJ0CAAAECBAgQIEAgVQK/\n3NIcXR3j8cq1Q9HZOhEb1++KOx9trXqNj5TOlhob3/80o+OFeHRL0/6ffOHRuze3xcQLZ15N\nfeFYad+7ftk29SG3CRAgUHcCAqy6a6kFESBAgAABAgQIECBwIIFi40S0N7+YJLU3T0RPf/Uv\nIjU6VjrvapqTrJKHR8emefKFxYy+WPI+y5suGNvnhR4gQIBARgUEWBltnLIJECBAgAABAgQI\nEJibwHErh+OZHcXoHXj+16Gf/Ko11naPzG2wWex1zCEjpTOo9r/DeOnxow8Z3v+TLzz60tVD\npQBs3wEaSo+tXzN0wH09SYAAgawL1OAyhVknUj8BAgQIECBAgAABAvUk0FDKrc47dWd84cau\n0llPz1+N6qKzt1d9iYvaxuPNJ/XGt+9a9MJ1sJ6fMgmlzn1Vb3S07BtOTS3qTa/YFT8pXQS+\nb6hh9/7JvotL477hZaU/aWgjQIBAHQsIsOq4uZZGgAABAgQIECBAgMD+BU46cjCSj+TC6q1N\nBw6O9j/C3B799Zf1RXfnWFx//6J4blcxViwajXNO7C3XcrARkwDsw2/dGt/+yaK4//GW8stf\nfvhgvOVVuw4afh1sbM8TIEAg7QICrLR3SH0ECBAgQIAAAQIECFRNoJbh1eQiTj5qMM58aSGW\nLl0aPT27YmBgcPKpg35e0j4ev3vGjoO+zgsIECBQbwKugVVvHbUeAgQIECBAgAABAgQIECBA\ngECdCQiw6qyhlkOAAAECBAgQIECAAAECBAgQqDcBAVa9ddR6CBAgQIAAAQIECBAgQIAAAQJ1\nJiDAqrOGWg4BAgQIECBAgAABAgQIECBAoN4EBFj11lHrIUCAAAECBAgQIECAAAECBAjUmYAA\nq84aajkECBAgQIAAAQIECBAgQIAAgXoTEGDVW0ethwABAgQIECBAgAABAgQIECBQZwICrDpr\nqOUQIECAAAECBAgQIECAAAECBOpNQIBVbx21HgIECBAgQIAAAQIECBAgQIBAnQkIsOqsoZZD\ngAABAgQIECBAgAABAgQIEKg3AQFWvXXUeggQIECAAAECBAgQIECAAAECdSYgwKqzhloOAQIE\nCBAgQIAAAQIECBAgQKDeBARY9dZR6yFAgAABAgQIECBAgAABAgQI1JmAAKvOGmo5BAgQIECA\nAAECBAgQIECAAIF6ExBg1VtHrYcAAQIECBAgQIAAAQIECBAgUGcCAqw6a6jlECBAgAABAgQI\nECBAgAABAgTqTUCAVW8dtR4CBAgQIECAAAECBAgQIECAQJ0JCLDqrKGWQ4AAAQIECBAgQIAA\nAQIECBCoNwEBVr111HoIECBAgAABAgQIECBAgAABAnUmIMCqs4ZaDgECBAgQIECAAAECBAgQ\nIECg3gSK9bYg6yFAgAABAgQIECBAgEA1BcbGI25/uD3u3twaKxaPxlnr+mN112g1pzQ2AQIE\nci/gDKzcHwIACBAgQIAAAQIECBCYjcD193fEPY+1xPln9sRJRw7GVTcsiyTUshEgQIBA9QQE\nWNWzNTIBAgQIECBAgAABAnUocO9jrfGa0llXS9vH44RVw3H4spF48ImWOlypJREgQCA9AgKs\n9PRCJQQIECBAgAABAgQIZECg2DgR7S0vnnLV1jwePf2NGahciQQIEMiugAAru71TOQECBAgQ\nIECAAAECCyCwYe1g+fpXydSDI4V46MmWWLt8eAEqMSUBAgTyI+Ai7vnptZUSIECAAAECBAgQ\nIFABgVOOHohr7locl1/bHTv7G2Lj+r44ottF3CtAawgCBAhMKyDAmpbGEwQIECBAgAABAgQI\nENhXoLN1It5z+o4YLmVWxdJ7Whq8r2VfJI8QIECgwgICrAqDGo4AAQIECBAgQIAAgXwINPtt\nKh+NtkoCBFIh4N8KUtEGRRAgQIAAAQIECBAgQIAAAQIECEwnIMCaTsbjBAgQIECAAAECBAgQ\nIECAAAECqRAQYKWiDYogQIAAAQIECBAgQIAAAQIECBCYTkCANZ2MxwkQIECAAAECBAgQIECA\nAAECBFIhIMBKRRsUQYAAAQIECBAgQIAAAQIECBAgMJ2AAGs6GY8TIECAAAECBAgQIECAAAEC\nBAikQkCAlYo2KIIAAQIECBAgQIAAAQIECBAgQGA6AQHWdDIeJ0CAAAECBAgQIECAAAECBAgQ\nSIWAACsVbVAEAQIECBAgQIAAAQIECBAgQIDAdAICrOlkPE6AAAECBAgQIECAAAECBAgQIJAK\nAQFWKtqgCAIECBAgQIAAAQIECBAgQIAAgekEBFjTyXicAAECBAgQIECAAAECBAgQIEAgFQIC\nrFS0QREECBAgQIAAAQIECBAgQIAAAQLTCQiwppPxOAECBAgQIECAAAECBAgQIECAQCoEBFip\naIMiCBAgQIAAAQIECBAgQIAAAQIEphMQYE0n43ECBAgQIECAAAECBAgQIECAAIFUCAiwUtEG\nRRAgQIAAAQIECBAgQIAAAQIECEwnIMCaTsbjBAgQIECAAAECBAgQIECAAAECqRAoLmQV9957\nbzz11FP7LeGMM86Ijo6O/T7nQQIECBAgQIAAAQIECBAgQIAAgfwILGiAddNNN8Utt9yyh3Zv\nb2/09/fHt771LQHWHjLuECBAgAABAgTSLzA6MRb/69lr47ptN8XQ+HCcvuSUeM+h58WiYmf6\ni1chAQIECBAgkFqBBQ2wLr744kg+JrckuHrve98bb37zm2PlypWTD/tMgAABAgQIECCQAYGx\nUnj1f276UPyk974YK/2XbD/rfyT+det34x/XXxXLmpZmYBVKJECAAAECBNIokKprYF111VXR\n1tYWF154YRqt1ESAAAECBAgQIHAAgW9vvW6P8Cp5aRJkbR3ZFlc8fvUB9vQUAQIECBAgQODA\nAgt6BtbU0u6+++7413/917j66qujubl56lPl27feemt88pOf3OPxj33sY/Hyl798j8fSfqeh\n4fnM0PW90t6p+qivqakpli9fXh+LsYrUCjQ2NkZXV1dMTEyktkaFZV+gUCiUF5H8Q1dLS0v2\nF1SnK/j+L3+0+8yrqUtMQqxbdvwgM9+Tkq9rvn9O7aDb1RCY/LrW2dnp0inVADbmHgIL9XVt\naGhojzrcITAfgdQEWP/8z/8cJ510Uhx//PH7Xc/g4GA8/fTTezw3NjYWyf+IWdomv1FNfs5S\n7WrNnkBynGXt/5HsKas4Oc4mw3kaBKotkBxrvodWW3nu44+WgqrptuTthVn6npSlWqcz93g2\nBHwPzUaf6qHKhfi65nt2PRw56VlDKgKsrVu3xh133BGXXnrptDLnnHNOJB9Tt2S/Z555ZupD\nqb+d/AtLErwNDAykvlYFZlcg+UZx6KGHxvDwcGzbti27C1F5JgSSs6+SP8AxOjqaiXoVmU2B\nyTNK+/r6ysdbNldR/1Wf2vbKuL3w4xid2PPrQSl2jFMXbcjMz20rVqyILVu21H/DrHBBBZIz\nSpcuXRo7d+70u8GCdiIfky/U17XkOLcRqJRAKq6Bde2110Z3d3ecfvrplVqXcQgQIECAAAEC\nBGos8F8P+a04snVNNJT+m9wKpfCqvbE9PnD4f5t8yGcCBAgQIECAwKwFXvzpYta7Vm6HH/7w\nh3HGGWdEsZiKE8IqtzAjESBAgAABAgRyJNDS0Bz/8JIr4vxD3xGrmldGd7Er3tT9+vjm+i/G\nYS2H5kjCUgkQIECAAIFKC6QiMdq8efM+bw+s9EKNR4AAAQIECBAgUH2B9sa2+KPDLyh/VH82\nMxAgQIAAAQJ5EVjwM7C2b99evpbF0UcfnRdz6yRAgAABAgQIECBAgAABAgQIEJiFwIKfgZVc\n/PfWW2+dRcleSoAAAQIECBAgQIAAAQIECBAgkCeBBT8DK0/Y1kqAAAECBAgQIECAAAECBAgQ\nIDB7AQHW7M3sQYAAAQIECBAgQIAAAQIECBAgUEMBAVYNsU1FgAABAgQIECBAgAABAgQIECAw\newEB1uzN7EGAAAECBAgQIECAAAECBAgQIFBDAQFWDbFNRYAAAQIECBAgQIAAAQIECBAgMHsB\nAdbszexBgAABAgQIECBAgAABAgQIECBQQwEBVg2xTUWAAAECBAgQIECAAAECBAgQIDB7AQHW\n7M3sQYAAAQIECBAgQIAAAQIECBAgUEMBAVYNsU1FgAABAgQIECBAgAABAgQIECAwewEB1uzN\n7EGAAAECBAgQIECAAAECBAgQIFBDAQFWDbFNRYAAAQIECBAgQIAAAQIECBAgMHsBAdbszexB\ngAABAgQIECBAgAABAgQIECBQQwEBVg2xTUWAAAECBAgQIECAAAECBAgQIDB7AQHW7M3sQYAA\nAQIECBAgQIAAAQIECBAgUEMBAVYNsU1FgAABAgQIECBAgAABAgQIECAwewEB1uzN7EGAAAEC\nBAgQIECAAAECBAgQIFBDAQFWDbFNRYAAAQIECBAgUF8Cl112WfzBH/xB3HLLLXssrLe3Ny6+\n+OL4wz/8w3juuef2eM4dAgQIECBAYPYCxdnvYg8CBAgQIECAAAECBBKB173udfGOd7wjfvDD\nH8R//+f/EbeO/DhGJ0Zi6//cHPf9x0/jgx/8YHR3d8MiQIAAAQIE5ikgwJonoN0JECBAgAAB\nAgTSI/D9nh/Ft7d+N8ZiPN62/DfjjKWnVrW4008/PS686ML44he+GJ+67FOx6A9XxcAtPbHz\nP56Izpctjff94furOn8lBn9yezFu2dQeT/cU49RjBuKUowaiKQO/JYyNR9z+cHvcvbk1Viwe\njbPW9cfqrtFKkBiDAAECBFIo4C2EKWyKkggQIECAAAECBGYv8NPe++OTv7oy3r/qXXHxmt+P\nKx+/Oh7qe3j2A81yj2N+/8QoHtka/ddvi4GbeqL3756KwqLG6LzksPj8U1+d5Wi1fXn/UCH+\n9rvLYt2qobjgtdtj01MtcfOmjtoWMcfZrr+/I+55rCXOP7MnTjpyMK66YVkkoZaNAAECBOpT\nQIBVn321KgIECBAgQIBA7gRu7vlBvL7rjFjXcWysbV0Tb1n+hviPbTdW3eHm3jtiyf9YHdFU\niJ2feSIm+sdjyR+tjollhbhx+21Vn38+E/xyS3N0dYzHK9cORWfrRGxcvyvufLR1PkPWbN97\nH2uN15TOulraPh4nrBqOw5eNxINPtNRsfhMRIECAQG0FBFi19TYbAQIECBAgQIBAlQSaG5pi\ncXHR7tEXFTvjmeEtu+9X68ZY6Q2LxSNao/X0xeUpGlc3R/OrOsu3xyfSfUpQsXEi2ptfrLG9\neSJ6+hurRVXRccu1t7xYe1tpHVmpvaIQBiNAgEBOBARYOWm0ZRIgQIAAAQIE6l1gY9dZcVPP\n7TEyPhJJcPS90tlP6ztOqPqyz1r6X2Ls4ZEYvGVHRLEQY08MR/81z0VjFOP0JadUff75THDc\nyuF4Zkcxegee/7XgJ79qjbXdI/MZsmb7blg7WL7+VTLh4EghHnqyJdYuH67Z/CYiQIAAgdoK\nZODyjLUFMRsBAgQIECBAgEA2BY5rPyrOWHJqvO9nfxz9Y4Oxrv3YeOch51Z9MW9d9Ib42Gf+\nIqIQ0XXZkaW3ET4eu77+bHSffGj891e8r+rzz2eChlJudd6pO+MLN3bF6Fh5CXHR2dvnM2TN\n9j3l6IG45q7Fcfm13bGzv6H09se+OKLbRdxr1gATESBAoMYCAqwag5uOAAECBAgQIECgegL/\nx+rz478d9u4YLp2F1dZYm2s5ffpjn47BJ/rjtAteGwOvaIwdH1gcj37onihesSsWv+n5txJW\nb8XzHzm5AHrykZzF1No0Mf8BazRCcs2u95y+I4ZLmVWxFMQlYZyNAAECBOpXwJf5+u2tlREg\nQIAAAQIEcinQWGisWXh1/fXXx1e/+tV46UtfGv/0kX+Ia1/x1fj++f8e559/fvzi4V/Exz/+\n8cz0IEvh1VTU5tI/yQuvpoq4TYAAgfoUEGDVZ1+tigABAgQIECBAoMoCW7dujUsuuSSKxWJ8\n9rOfjaampt0zfuQjH4nVq1fH1VdfHTfddNPux90gQIAAAQIE5ibgLYRzc7MXAQIECBAgQIBA\nzgWWL18e9913334VOjo64sc//vF+n/MgAQIECBAgMHsBZ2DN3sweBAgQIECAAAECBAgQIECA\nAAECNRQQYNUQ21QECBAgQIAAAQIECBAgQIAAAQKzFxBgzd7MHgQIECBAgAABAgQIECBAgAAB\nAjUUEGDVENtUBAgQIECAAAECBAgQIECAAAECsxcQYM3ezB4ECBAgQIAAAQIECBAgQIAAAQI1\nFBBg1RDbVAQIECBAgAABAgQIECBAgAABArMXEGDN3sweBAgQIECAAAECBAgQIECAAAECNRQQ\nYNUQ21QECBAgQIAAAQIECBAgQIAAAQKzFxBgzd7MHgQIECBAgAABAgQIECBAgAABAjUUEGDV\nENtUBAgQIECAAAECBAgQIECAAAECsxcQYM3ezB4ECBAgQIAAAQIECBAgQIAAAQI1FBBg1RDb\nVAQIECBAgAABAgQIECBAgAABArMXEGDN3sweBAgQIECAAAECBAgQIECAAAECNRQQYNUQ21QE\nCBAgQIAAAQIECBAgQIAAAQKzFxBgzd7MHgQIECBAgAABAgQIECBAgAABAjUUEGDVENtUBAgQ\nIECAAAECBAgQIECAAAECsxcQYM3ezB4ECBAgQIAAAQIECBAgQIAAAQI1FBBg1RDbVAQIECBA\ngAABAgQIECBAgAABArMXKM5+F3sQIECAAAECBAgQqI7AtpGe+NaW78QdO+6K05acHG9f8cbo\nbuqqzmRGnbfA2HjE7Q+3x92bW2PF4tE4a11/rO4anfe4aR8gr+tOe1/UR4BAfQs4A6u++2t1\nBAgQIECAAIFMCXz40U/G4NhQXHHcx6KtoTUu3fw3mao/b8Vef39H3PNYS5x/Zk+cdORgXHXD\nskjCnXrf8rrueu+r9REgkG4BAVa6+6M6AgQIECBAgEBuBAbGBuPO3nvivat+OxYVO+NdK8+N\nB/t+HjtGd+bGIGsLvfex1nhN6ayrpe3jccKq4Th82Ug8+ERL1pYx63rzuu5ZQ9mBAAECFRQQ\nYFUQ01AECBAgQIAAAQLzE1jU2Fk+8yoZpbHQGE2FYmwf2TG/Qe1dNYFi40S0t7x4ylVb83j0\n9DdWbb60DJzXdafFXx0ECORTQICVz75bNQECBAgQIEAgdQJtja2xYdHL4vs7flyu7YG+TdE7\n1hdHtK5OXa0Kel5gw9rB8vWvknuDI4V46MmWWLt8uO558rruum+sBRIgkGoBF3FPdXsUR4AA\nAQIECBDIl8CFh707Pvf4l+PLT30jto5sj88c+9FoKPg317QeBaccPRDX3LU4Lr+2O3b2N8TG\n9aXAsbv+L+Ke13Wn9ThUFwEC+RAQYOWjz1ZJgAABAgQIEMiEwAntx8aVx18WfWP90dHYnoma\n81xkZ+tEvOf0HTFcyqyKpZyxISdZY17Xnedj3doJEFh4AQHWwvdABQQIECBAgAABAnsJCK/2\nAkn53eac/laR13Wn/HBUHgECdSqQk38jqdPuWRYBAgQIECBAgAABAgQIECBAIAcCAqwcNNkS\nCRAgQIAAAQIECBAgQIAAAQJZFhBgZbl7aidAgAABAgQIECBAgAABAgQI5EBAgJVpCorgAABA\nAElEQVSDJlsiAQIECBAgQIAAAQIECBAgQCDLAgKsLHdP7QQIECBAgAABAgQIECBAgACBHAgI\nsHLQZEskQIAAAQIECBAgQIAAAQIECGRZQICV5e6pnQABAgQIECBAgAABAgQIECCQAwEBVg6a\nbIkECBAgQIAAAQIECBAgQIAAgSwLCLCy3D21EyBAgAABAgQIECBAgAABAgRyICDAykGTLZEA\nAQIECBAgQIAAAQIECBAgkGUBAVaWu6d2AgQIECBAgAABAgQIECBAgEAOBARYOWiyJRIgQIAA\nAQIECBAgQIAAAQIEsiwgwMpy99ROgAABAgQIECBAgAABAgQIEMiBgAArB022RAIECBAgQIAA\nAQIECBAgQIBAlgUEWFnuntoJECBAgAABAgQIECBAgAABAjkQEGDloMmWSIAAAQIECBAgQIAA\nAQIECBDIsoAAK8vdUzsBAgQIECBAgAABAgQIECBAIAcCAqwcNNkSCRAgQIAAAQIECBAgQIAA\nAQJZFhBgZbl7aidAgAABAgQIECBAgAABAgQI5EBAgJWDJlsiAQIECBAgQIAAAQIECBAgQCDL\nAsUsF692AgQIECBAgEC9Cmwb6YlvbflO3LHjrjhtycnx9hVvjO6mrkws9/s9P4pvb/1ujMV4\nvG35b8YZS0/NRN2T5nc+ck+c0v7Kmpo/ub0Yt2xqj6d7inHqMQNxylED0ZSDn9Tns+7h0Yiv\n37Y0HniiJZa0j8VvbeiNDWuHZnyszWfuGU/ihQQIECBQMQFnYFWM0kAECBAgQIAAgcoJfPjR\nT8bg2FBccdzHoq2hNS7d/DeVG7yKI/209/745K+ujPeveldcvOb348rHr46H+h6u4oyVG3rS\n/MsnX1FT8/6hQvztd5fFulVDccFrt8emp1ri5k0dlVtYSkea77o//72uePDJ5rj415+LXzu2\nP66+qSuSUGsm23znnskcXkOAAAEClRUQYFXW02gECBAgQIAAgXkLDIwNxp2998R7V/12LCp2\nxrtWnhsP9v08dozunPfY1R7g5p4fxOu7zoh1HcfG2tY18Zblb4j/2HZjtaed9/hTzZc0La6p\n+S+3NEdXx3i8snT2UGfrRGxcvyvufLR13mtK+wDzXfejzzbHWev644ju0dh4Yn90tozHdfd1\nzmjZ8517RpN4EQECBAhUVECAVVFOgxEgQIAAAQIEKiOwqLGzfBZQMlpjoTGaCsXYPrKjMoNX\ncZTmhqZYXFy0e4YkgHtmeMvu+2m+sVDmxcaJaG8e303T3jwRPf2Nu+/X6435rruhEOW3Dk76\nNDdNxJadM3vf5XznnpzTZwIECBConYAAq3bWZiJAgAABAgQIzEigrbE1Nix6WXx/x4/Lr3+g\nb1P0jvXFEa2rZ7T/Qr5oY9dZcVPP7TEyPhLjE+Pxve23xfqOExaypBnNvZDmx60cjmd2FKN3\n4PkfzX/yq9ZY2z0yo7qz/KL5rjt5y+VtpeuGJVtPf0M819sY69cMzohkvnPPaBIvIkCAAIGK\nChQmSltFR6zhYFu3bo2RkWx9c+/s7IyxsbEYGBiooZSp8iZQKBTi0EMPjaGhodi2bVvelm+9\nNRbo6uqK3t7eGB2d4YVHalyf6epDoKmpKZYvXx67du0qH2/1saoDr2JT/yPxuce/HDtLbxvc\nOrI9PnrUB+Pkxa848E4pefbzT3ylFL79MPpLb4Vc135sqfb/O5oaZnZmzEIuYdK8vzAQT/c/\nW1Pzn2xuje892BGjYxGlE4viorO3x9LS2wrrfZvPup/Z0RB/95/dsaMUXo2MFWL96qH4g43b\nZ0w2n7lnPMkBXtjW1hZLly6Nnp4evxscwMlTlRFYsWJFbNlS+7NhJ4/zyqzCKHkXEGDV+AgQ\nYNUYPKfTCbBy2vgFWrYAa4HgczZtHgOsyRb3jfVHR+PzZ5lMPpaFz2MTYzFcOgsrObMpa1tb\nV3sMbO9fkLIHRwrRWnorXN62+ax7V+mkq9ZSPlqcY0Y6n7nn06fJX+wFWPNRtO9MBQRYM5Xy\nujQLeAthmrujNgIECBAgQCD3AlkMr5KmJdftymJ4ldTeWVy4vwCYx/AqMZ/PujtLGelcw6v5\nzp3sbyNAgACB2ggIsGrjbBYCBAgQIECAAAECBAgQIECAAIE5Cgiw5ghnNwIECBAgQIAAAQIE\nCBAgQIAAgdoICLBq42wWAgQIECBAgAABAgQIECBAgACBOQoIsOYIZzcCBAgQIECAAAECBAgQ\nIECAAIHaCAiwauNsFgIECBAgQIAAAQIECBAgQIAAgTkKCLDmCGc3AgQIECBAgAABAgQIECBA\ngACB2ggIsGrjbBYCBAgQIECAAAECBAgQIECAAIE5Cgiw5ghnNwIECBAgQIAAAQIECBAgQIAA\ngdoICLBq42wWAgQIECBAgAABAgQIECBAgACBOQoIsOYIZzcCBAgQIECAAAECBAgQIECAAIHa\nCAiwauNsFgIECBAgQIAAAQIECBAgQIAAgTkKCLDmCGc3AgQIECBAgAABAgQIECBAgACB2ggI\nsGrjbBYCBAgQIECAAAECBAgQIECAAIE5Cgiw5ghnNwIECBAgQIAAAQIECBAgQIAAgdoICLBq\n42wWAgQIECBAgAABAgQIECBAgACBOQoIsOYIZzcCBAgQIECAAAECBAgQIECAAIHaCAiwauNs\nFgIECBAgQIAAAQIECBAgQIAAgTkKCLDmCGc3AgQIECBAgAABAgQIECBAgACB2ggIsGrjbBYC\nBAgQIECAAAECBAgQIECAAIE5Cgiw5ghnNwIECBAgQIAAAQIECBAgQIAAgdoIFGszjVkIECBA\ngAABAgRmI7BtpCe+teU7cceOu+K0JSfH21e8MbqbumYzxJxfu5Bzz7loOxIgQIAAAQJ1LeAM\nrLpur8URIECAAAECWRX48KOfjMGxobjiuI9FW0NrXLr5b2q2lIWcu2aLNBEBAgQIECCQKQEB\nVqbapVgCBAgQIEAgDwIDY4NxZ+898d5Vvx2Lip3xrpXnxoN9P48dozurvvyFnLvqizMBAQIE\nCBAgkFkBAVZmW6dwAgQIECBAoJ4FFjV2ls+8StbYWGiMpkIxto/sqMmSF3LumizQJAQIECBA\ngEDmBARYmWuZggkQIECAAIF6F2hrbI0Ni14W39/x4/JSH+jbFL1jfXFE6+qqL30h56764kxA\ngAABAgQIZFbARdwz2zqFEyBAgAABAvUscOFh747PPf7l+PJT34itI9vjM8d+NBoKtfm3x4Wc\nu557am0ECBAgQIDA3AUEWHO3sycBAgQIECBAoGoCJ7QfG1cef1n0jfVHR2N71ebZ38ALOff+\n6vEYAQIECBAgQKA2/4zHmQABAgQIECBAYE4CtQ6vpha5kHNPrcNtAgQIECBAgIAAyzFAgAAB\nAgQIECBAgAABAgQIECCQagEBVqrbozgCBAgQIECAAAECBAgQIECAAAEBlmOAAAECBAgQIECA\nAAECBAgQIEAg1QICrFS3R3EECBAgQIAAAQIECBAgQIAAAQICLMcAAQIECBAgQIAAAQIECBAg\nQIBAqgUEWKluj+IIECBAgAABAgQIECBAgAABAgQEWI4BAgQIECBAgAABAgQIECBAgACBVAsI\nsFLdHsURIECAAAECBAgQIECAAAECBAgIsBwDBAgQIECAAAECBAgQIECAAAECqRYQYKW6PYoj\nQIAAAQIECBAgQIAAAQIECBAQYDkGCBAgQIAAAQIECBAgQIAAAQIEUi0gwEp1exRHgAABAgQI\nECBAgAABAgQIECAgwHIMECBAgAABAgQIECBAgAABAgQIpFpAgJXq9iiOAAECBAgQIECAAAEC\nBAgQIEBAgOUYIECAAAECBAgQIECAAAECBAgQSLWAACvV7VEcAQIECBAgQIAAAQIECBAgQICA\nAMsxQIAAAQIECBAgQIAAAQIECBAgkGoBAVaq26M4AgQIECBAgAABAgQIECBAgAABAZZjgAAB\nAgQIECBAgAABAgQIECBAINUCxVRXpzgCBAgQIECAAAECGRAYHo244f7O+Mnm1hgbL8T6NYPx\nGy/fFZ2tExmoPp8lbnqqOa67ryOe3VmMQxaPxTkn7op1hw3nE8OqCRAgkAEBAVYGmqREAgQI\nECBAgEAtBbaN9MS3tnwn7thxV5y25OR4+4o3RndTVy1LyNRcI6Xw6q+vXR5P9RRjfKJQrn3L\nQx1x1y/b4s/fsjUWtY0fdD1Pbi/GLZva4+nSGKceMxCnHDUQTRn4SX2stLTbH26Pu0vB3YrF\no3HWuv5Y3VUCSfl2+8Nt8fXblsTz8WIhntvVGD97clm869d2xhkn9Ke8euURIEAgnwLeQpjP\nvls1AQIECBAgQGBagQ8/+skYHBuKK477WLQ1tMalm/9m2td6IuLmTR3x5JTwKjFJgqxdQw3x\n7Z90HpSof6gQf/vdZbFu1VBc8NrtsemplvKYB90xBS+4/v6OuOexljj/zJ446cjBuOqGZaUz\n0FJQ2AFKGBguxDfuSMKrJGx8PnBMPif3v/nDxZH0w0aAAAEC6RPIwL/rTI/W1NQUzc3N078g\nhc8k9Y6Pj0dDg+wwhe2pu5IaGxujo6Oj7tZlQekSSI6ztra28te2dFWmmnoSSI6zZEu+9/u6\nVt3ODowNxp2998SVL/tELGlaHBcsfnd85Y7/N0aax2Jp6X4etuTntNkcZ/c/3h4TL5x5NdUn\neSvhA0+0lcYam/rwPrd/sbUxuhdFnP7S5EfzYrz55LH4f27siLeeus9LU/fA/U+0x1tPHo7V\nK9pKHxG3/Hw8Hn1uSbzyyPSehfXI1mKpX9NQlrKrx3csjg1HVb/+5OtZsrW0tPjdYJp2eLhy\nAoVCYVZf1yo3s5EIVE5AilI5SyMRIECAAAECBOpCYFFxUbQ1tpXX0lhojKZCU2wb2V4Xa0vj\nIoqlfLaj5cVEpb10e3tfNs4Catq79uaJ2LYr3bUn51rtPvFqPwdE6fd8GwECBAikUCDTZ2CN\njIxE8pGlLUm+x8bGYmBgIEtlqzVjAslxtnjx4vKx1tfXl7HqlZs1geTM0uRr2uho9f+1Oms2\n6q2cwOSZV8n3fV/XKuc63UgbOk+M6568KV7XdVo80Lcpdo72xorxZbmxb29vn9VaT1wT8cjT\ni3Zf/2rStaEwESeuGTjoWIcviXhy2yHx9NaB8vWybitdP+uIZcMH3W9ynoX8/PI1E3H7zxrj\nsMV9MThSiPse64gzj99Rqj293xMOW1yIQqF9/2ylbGv14p2l+l8MFPf/wvk/mpy9nHwMDQ35\n3WD+nEY4iMBsv64dZLgZP50c4zYClRLIdIBVKQTjECBAgAABAgQIvChw4WHvjs89/uX48lPf\niK2lM68+c+xHo6HgxP0Xhfa89ZoT+uKO0kXBkwuwP39dpdIJPqXwalHreLx5w649X7yfe8mV\nJc47dWd84cauGC292zA5Aeiis7NxxtspRw/ENXctjsuv7Y6d/Q2xcX1fHNGd3vAq4W8rnSX2\nzv+yI75Wuoj781si/nznfvvVOyI5A85GgAABAukTEGClrycqIkCAAAECBAgsqMAJ7cfGlcdf\nFn1j/dHROM2ZKgtaYbomT/5a4J/+1ta44f7OuKv01/iSa1+duGYwfuPlu6KzdWZhSHIB9OQj\nOYuptWlm+6RBIVnfe07fEcOlzKpYCuKycpnX044biO7Osbj+vo54ZmcxDin9BcVzTuyLdYcN\np4FVDQQIECCwHwEB1n5QPESAAAECBAgQIFC6LpPwasaHQXPpp+o3vnJX+WPGO+3nhVkKr6aW\nn6w/a9sJq4Yj+bARIECAQDYEnAuejT6pkgABAgQIECBAgAABAgQIECCQWwEBVm5bb+EECBAg\nQIAAAQIECBAgQIAAgWwICLCy0SdVEiBAgAABAgQIECBAgAABAgRyKyDAym3rLZwAAQIECBAg\nQIAAAQIECBAgkA0BAVY2+qRKAgQIECBAgAABAgQIECBAgEBuBQRYuW29hRMgQIAAAQIECBAg\nQIAAAQIEsiEgwMpGn1RJgAABAgQIECBAgAABAgQIEMitgAArt623cAIECBAgQIAAAQIECBAg\nQIBANgQEWNnokyoJECBAgAABAgQIECBAgAABArkVEGDltvUWToAAAQIECBAgQIAAAQIECBDI\nhoAAKxt9UiUBAgQIECBAgAABAgQIECBAILcCAqzctt7CCRAgQIAAAQIECBAgQIAAAQLZEBBg\nZaNPqiRAgAABAgQIECBAgAABAgQI5FZAgJXb1ls4AQIECBAgQIAAAQIECBAgQCAbAgKsbPRJ\nlQQIECBAgAABAgQIECBAgACB3AoIsHLbegsnQIAAAQIECBAgQIAAAQIECGRDQICVjT6pkgAB\nAgQIECBAgAABAgQIECCQWwEBVm5bb+EECBAgQIAAAQIECBAgQIAAgWwICLCy0SdVEiBAgAAB\nAgQIECBAgAABAgRyK1DM7cotnAABAgQIECBAgACBBRXY9FRzfPfeznh2Z2MsXzQW55zYF+vX\nDC1oTSYnQIAAgXQKCLDS2RdVESBAgAABAnUg8P2eH8W3t343xmI83rb8N+OMpafWbFULOXfN\nFmmissDwaMTXb1saDzzREkvax+K3NvTGhrW1CYHGxiNuf7g97t7cGisWj8ZZ6/pjdVepoBls\ndzzcFl+9bckLryzEtr7GePjp5vivp+6M1720fwYjeAkBAgQI5EnAWwjz1G1rJUCAAAECBGom\n8NPe++OTv7oy3r/qXXHxmt+PKx+/Oh7qe7gm8y/k3DVZoEn2EPj897riwSeb4+Jffy5+7dj+\nuPqmrkhCrVps19/fEfc81hLnn9kTJx05GFfdsCySUOtg2+BIIf7pjiS8KrzwkexRiInSx//6\n8eLYNZg8biNAgAABAi8KCLBetHCLAAECBAgQIFAxgZt7fhCv7zoj1nUcG2tb18Rblr8h/mPb\njRUb/0ADLeTcB6rLc9URePTZ5vKZT0d0j8bGE/ujs2U8rruvszqT7TXqvY+1xmtKZ10tbR+P\nE1YNx+HLRuLB0plgB9s2b2mKsYn9v6qh9BvKw88cfIz97+1RAgQIEKhXAQFWvXbWuggQIECA\nAIEFFWhuaIrFxUW7a1hU7Ixnhrfsvl/NGws5dzXXZez9CzSUTlZK3jo4uTU3TcSWnbW5Ukix\ncSLaS4HZ5NbWPB49/Y2Td+f8OTkXy0aAAAECBKYKCLCmarhNgAABAgQIEKiQwMaus+Kmnttj\nZHwkxifG43vbb4v1HSdUaPQDD7OQcx+4Ms9WQ2DdqqG4bVN7eeie/oZ4rrexdCH0wWpMtc+Y\nG9YOlq9/lTyRvC3woSdbYu3y4X1et/cDR64YieI0v4lMlLKrY1cefIy9x3SfAAECBOpboDb/\nNFPfhlZHgAABAgQIENhH4Lj2o+KMJafG+372x9E/Nhjr2o+Ndx5y7j6vq8YDCzl3NdZjzAML\nvPVVO+Pv/rM7PvC1lTEyVogTS3/F79RjahNgnXL0QFxz1+K4/Nru2FkKzzau74vkrYwH21pL\nZ4n9zmk74h9uffEi7lG+AlbEb796Z3S2OgPrYIaeJ0CAQN4EChOlLauL3rp1a4yMjGSq/M7O\nzhgbG4uBgf+fvfuAj6pK+zj+nzTSSegdlarYUESlCYoF14IN7F0s74p97WtB117WuhZWsS32\ntaHYAAVEQKUJCIgg3VASEtLLe5/jTkwgmEwyk2SS3+ETMnPn3lO+dyDJk3OekxNW/aaz4SXg\n8/nUpk0b5eXlafPmzeHVeXobdgKpqanKzMxUYWHlP7CE3eDocL0RiI6OVosWLZSVleXeb/Wm\nY1XoSFFJkfK9WVhxkbFVODu4p9Rl28EdSe3W1rJlS6Wl1c5yz2COLMuLWcV6v56OqoNfUVvS\neJtRZfmrAinLNkS7fF3r0qPUuqmXw8sLgPVs1zhmX8XFxSklJUXp6en8bBDIm4ZzqyVQV/+v\n+d/n1eo0FyGwnUAdfHnbrgc8RQABBBBAAAEEGrBApC/SC17VPCdQdYjqsu3q9JdraiaQWPsx\n0tIOx1Tzp4qurQu85YJbSuvhAQIIIIAAAjsTCPB3JDurhuMIIIAAAggggAACCCCAAAIIIIAA\nAgiERoAAVmhcqRUBBBBAAAEEEEAAAQQQQAABBBBAIEgCBLCCBEk1CCCAAAIIIIAAAggggAAC\nCCCAAAKhESCAFRpXakUAAQQQQAABBBBAAAEEEEAAAQQQCJIAAawgQVINAggggAACCCCAAAII\nIIAAAggggEBoBAhghcaVWhFAAAEEEEAAAQQQQAABBBBAAAEEgiRAACtIkFSDAAIIIIAAAggg\ngAACCCCAAAIIIBAaAQJYoXGlVgQQQAABBBBAAAEEEEAAAQQQQACBIAkQwAoSJNUggAACCCCA\nAAIIIIAAAggggAACCIRGgABWaFypFQEEEEAAAQQQQAABBBBAAAEEEEAgSAIEsIIESTUIIIAA\nAggggAACCCCAAAIIIIAAAqERIIAVGldqRQABBBBAAAEEEEAAAQQQQAABBBAIkgABrCBBUg0C\nCCCAAAIIIIAAAggggAACCCCAQGgECGCFxpVaEUAAAQQQQAABBBBAAAEEEEAAAQSCJEAAK0iQ\nVIMAAggggAACCCCAAAIIIIAAAgggEBoBAlihcaVWBBBAAAEEEEAAAQQQQAABBBBAAIEgCRDA\nChIk1SCAAAIIIIAAAggggAACCCCAAAIIhEaAAFZoXKkVAQQQQAABBBBAAAEEEEAAAQQQQCBI\nAgSwggRJNQgggAACCCCAAAJ1I3DXXXfp0ksv1VdffVWuA5mZmRo9erT++te/atOmTeVe4wkC\nCCCAAAIIhJdAVHh1l94igAACCCCAAAIIIFBeYMiQITrllFP0zYxvNeLmuVqX3VIlJdL8d67V\n0llv6dprr1Xz5s3LX8QzBBBAAAEEEAgrAQJYYXW76CwCCCCAAAIINBaBzQXpeivtQ32T8Z36\nNe2jE1serebRqWEx/KnpM/X+xokqUrFOaDFMA1L6hrTf/fv314UXXaLnn/uXPnjpJvU+8Xmt\nnvsfL3j1mlrseohOPOtar/3iSvuQmRuhrxfHa1lapLq1SlT/7tlKjqv8Oqu4yDtt+tJ4/bAi\nVi2TCzWoZ7bapxZW2mZjP2HOyib68IckbcmO1D6dcnXyARmKb9LwVdZuidL02XH6bat0wG4x\n2rdDjqL5yazh33hGiAACNRJgCWGN+LgYAQQQQAABBBAIjcDNy+9RblGeHus2RnERsbpzxcOh\naSjItc7JXKB7Vj6u89ueptEdLtDjq8dq0balQW5lx+ra9LtXyW321srZ/9aqOa9qzn8vVUx8\nC+0/8lWNnVK12VcvTElRfpFPN5xYpJioEr06remODe3kyGcLEjT31yY6e2C69tslV0993swF\ntXZyOoc9gU2ZEXpuUqp6dcjV3/6SpiXrYzRuangEaWtyA7PzfPrnxGbao32hrjtBWrQmSlN+\nSqhJlVyLAAIINAoBAliN4jYzSAQQQAABBBAIJ4GcolzNzpyrc9uOUFJUok5rPVwLty1RRqE3\nXaOelynpM3RY6gD1TOiqzrEddFyLI/TJ5kkh7/XPmxLVZ+Rriohqou/eOFOFeRna7+QXFZfc\nXpuyIittP9+bLGUBlCP2zFJCrDRk921auSla27xgQ1XKvF9jdYg36yolvlg92uarY7MCLVzT\nCKYSVQVnJ+d8+3O8or1bc0KfLLVuWqzh+23VT2tjdnJ2wzn8S1qMUhOKtf9uBUqOl4btm6fZ\ny703HQUBBBBA4E8FCGD9KQ8vIoAAAggggAACdSOQFJnoZl5Z65G+SEX7orSlIKNuOhNAqzER\n0UqOSiq9wgJwG/LTSp+H6oGFmZJb91L7PU9xTSS27KnW3Ye5x1ULQUnxMcVu5pVdFOF9lxwV\nUaIsb1lhVUpUZIm39O2P5YZxXl3p3rI4ys4FYqKKZW7+YsG/Am8GXEMv7r3ivT/8JT6mhPeK\nH4PPCCCAwJ8IVO0r8p9UwEsIIIAAAggggAACwRWIi4xV76S9NDVjlqv4x20/KbNomzrFtg9u\nQyGobWjqIE1On66C4gIVlxTryy3T1CuhRwhaKl9lT2/W05bVs7R63n/ki4xRVtpiLZv6kHdS\nictJVf7sHZ/FePmHurbO14//mzW1cmO0svMjvGuLdjy5giO9O+e6/Ff2Um6BT4vWNlHnFvkV\nnMkhv8Bgb8Zajme1bsvvgb5PFyQqMfaPwI7/vIb2uZv3PtuQEaWt2b8H62Ytj1bn5gUNbZiM\nB4F6IbBx40Z98cUXbpfa9PT0etEn60Rubq5Wrlyp7OzsetOncOiIr8Qr4dDRivpob8aCgvD6\nzz4xMVFFRUXKycmpaEgcQyAoAj6fT23atFFeXp42b94clDqpBIGdCaSmpsq2qi8sJFnxzow4\nXnOB6OhotWjRQllZWe79VvMa638NP2Uv0xOrX9RWb9ngxoItumPXa9UneZ/633Gvh/9a85IX\nfPtW2d5SyJ7xXb2+X6foiNBmqN6Ska0DBw7Tts2/aMBFU7xlhGcpZ+sqDblsph64pJ3aplYe\niFq1KUofeAnF84ubaNPWIp3VP0PdvcBYVUpWrk///S5Za9MtMBGhwbtna+ie26pyaaM+5+2Z\nSZrqJb/3Yp2uXDVskxf4a/hfT773kv1PXpzkhVejVFxUqIsGb1KKt6yQgkCoBFq2bKm0tNDP\nht2+/3FxcUpJSdn+cMif//zzz2532h9++KFcW71799brr7+ubt26lTte208++eQTDRs2TG++\n+aZOPvnk2m4+bNsjgFXLt44AVi2DN9LmCGA10htfR8MmgFVH8I2s2cYYwPLf4m1F2UqI9BLl\nhFkpKinyAkEFstlktVGuv/56vfzyyxo4/Ga1OfhObVg2WV89d5i6dO2hzz79WLGxVe9HYtOW\nysqo3g96lksrylvjYEsQKVUXSPeCfraEsDEV+8G+SVyK8nLS+eV2Y7rxdTTWxhTAsplN++67\nr+zf2M0336y9995bNvll4sSJeuutt9yEkq+//lp77rlnHd0Nafbs2brpppt06623auDAgXXW\nj3BruFq/Cvvoo4/0+OOPa/Hixdq0aVOFY7bfxlMQQAABBBBAAAEEaiYQjsErG7Hl7YqLrJ0c\nUJ999pkLXu2xxx565Z+jFB29wevB7roh72y99NJLuvvuuzVmzJgq34g4L494VpXPLn+iLUWk\nBC7Q2IJXfqE4L89/Hgsz/Bx8RiAoAu+8845sueAzzzyjESNGlNZ5wgknqF+/fjrnnHPc14b7\n77+/9LXaftCnTx99+umntd1s2LcX8JfY6dOny268LRWx6XcHHXRQ2CMwAAQQQAABBBBAAIHw\nFLDfql999dWKiorSo48+6gWvoksHYr/ZttwnY8eO1WGHHabBgweXvsYDBBBAAIGGKbB06VI3\nsL322muHAZ5++unu60LTpk1LX3v22Wdlzw888ED9+9//ll0/aNAgHXfccWrfvnzuSYuDvPDC\nC5o5c6bLX2UxkYsuushdX1rh/x7Mnz/fzfr6/vvvdfDBB+v4449Xp06d3KvLli1zv3gZOXKk\n7Jcv/mLXvPHGG1q0aJE795hjjtGhhx7qf9l9Li4u1rvvvitbhmjpYrp3766jjz66UczkCngJ\n4Q033KAHHnhAP/74o3r27FkOsrafkAOrtsVpL1wEWEIYLneqYfSTJYQN4z7W91E05iWE9f3e\nNMT+1dVSm4ZoyZh2LuDPDWQzRciPu3MnXgmOQF39v+Z/nwdnFFWrxWZgnXTSSS6gY7GLvn37\nyn4+2lmx1/Pz8/Xbb7+pS5cu6tGjhyZMmODyCdtSv1133dVdajnELFBkxyxoZIGnyZMnu+CV\nnV82EPXee++5PnTu3Fn777+/bMni+vXrS3NeVZQDy2aMjR492rV15JFHas2aNbLg17XXXuti\nMP7+X3HFFW5FnC2BtL7aJKN169bpoYce0lVXXeU/rUF+Dnh1/i+//OKm3dV18KpB3g0GhQAC\nCCCAAAIIIIAAAggggAAC1RawFWM33nijCxrZirHWrVvrtNNOc0sK165dW2G9c+fO1RlnnOGu\nef7552XJ3xMSEnTiiSfKv++dTeax4JUFyH766Sc3C8qus+DXJZdcUlqvTfax9mz2lM2kshlV\nq1evdjO8/va3v7nAWOnJ/3tgM7IseNW/f38XuHr//ff13XffuRxeDz74oJs1ZqdaqqYnn3xS\nl156qebNm+cCYqtWrXL5vO677z6X32v7uhvS84ADWJYMzYJYFAQQQAABBBBAAAEEEEAAAQQQ\nQKA+Cdhsq3/84x+aMmWKLrzwQpfMffz48S7I1LFjR1kQqaio/M60tqLg9ttvLx2GBb1sNtOc\nOXNkOxraTElbOmhLAS1A5i+2JNCWJdoMKwsoWbFk8Tar0mZ/xcR4SRW9EunlhPzXv/7lZlNt\n3brVHSv711NPPeUCYRYks12X/eWaa65xS+MtaOUvEd4uIRYks1lXVuy5jXXFihWuHf95DfFz\nwDmwLLL43HPP6fLLL5dFAps08TIPUhBAAAEEEEAAAQQQQAABBBBAAIF6ImB5rOzDis1wsg0/\n/vnPf7rA0q+//ioLavlLr1693Iwr/3P7bLsXWrHZWLvssoubiWXBp7KJ4e11m11lZcmSJe4a\nC3rZ7K1u3bq54/6/bDKQfVRUbEaXBd4sH5fNACtb4uPjXd12LCkpyQXWLAG95efab7/9NGzY\nMA0fPtwtVSx7XUN8XGkAy6J6Rx11VLmxZ2dn64knnpBFCW1NpyFuX2wqHQUBBBBAAAEEEEAA\nAQQQQAABBBCoDYHc3Fx99dVXatu2rcomce/atavs47zzztMRRxzhlgFaMCo5Odl1KyUlZYfu\nWeDISkZGhiz/thXL6WUznsoWm4VlH/64iOWuSkxMLHtKpY+tfpscZBuSbF8sHlO2PlsqOHjw\nYL366qtuJ8O77rpL9nH22We7TUsqqmP7OsP1+Y46243EooDbz7Ly36DtTuUpAggggAACCCCA\nAAIIIIAAAgggUCcCtlTPZkjZ7oCTJk3aoQ+xsbEugGVL/mzJnX+WlX8WVdkLVq5c6Z7aLCeb\nUWXFkrdb4KhsseWI1q6/WNJ3S+5eUFBQbmdcS+Juyd1tV9zty2677eZ2NrzzzjtdG2Vft50P\nywalrD0LwtnMK8vPZXm5LNH7Sy+95IJYFdVftr5wflw+dFjBSNq0aeMgbZvIQD4qqIpDCCCA\nAAIIIIAAAggggAACCCCAQEgEbNdiC+zYLKxXXnllhzYsCfq77767wwwty19lCdfLFgsI2Ywr\n2+3PAkwWG7Frt89hZcnfbQaXP+BlebKKi4tdgvWy9dnyRUvJVFGwzJK3W7E2yxbrl82+sp0H\nrfiXJz7yyCPuuU04OuCAA/TXv/7VPbcgWUMulc7A2n7wBrpgwQLZmsuKyn//+1+Hu3jxYnez\nKzqHYwgggAACCCCAAAIIIIAAAggggECwBSwZ+6xZs3TWWWe5IFa/fv1kydstR9Xrr78u27XP\n8npb8MdfLOB0/PHH67HHHnPBrWeeeUaffPKJm23lT8RuSdmtTss3ddttt8mWGFoeLavz1ltv\ndemVrL5zzjlHFmCyoJLtUGgzuCZMmOBSMA0YMEADBw50+bj8bdvniy++2L3+6KOPqmXLlho6\ndKgsLZMtDbQA1i233OJOtxxaNsPq3nvvdbO+Dj30UC1cuNAlrbfzLHjXkEuVAlhpaWkO3iAs\ngZnNxLJ1ndsXuzl2Yywhmq09tWglBQEEEEAAAQQQQAABBBBAAAEEEKgNgR49eriYxf/93/9p\n6tSpbldAa9cCUZYXy4JX2y+z22OPPXT44Yfr2GOPlS3ZsxlXFsw67bTTSrt85plnujpsd0LL\nQWXFlvadf/75pQEm/7EvvvjCBaUuuOACNxvLjp944ol6+umnyy03tONWbOaY7SRofbblgNYH\nK5YI/j//+Y8LarkD3l8WHLN8V1dffbU7ZIG4ffbZRzNmzFCzZs38pzXIzz5vzWRJZSOz2VbX\nX399ZaeVvm5RQQt0hbpYojNbVxpOxaKitmbVttWkIBAqAftPzKa45uXlafPmzaFqhnoRcAK2\n7bBNx/Z/oYUFgVAI2Dd2tq10VlaWe7+Fog3qRMAvYL/9tl/gUhAIpYD9st+WHaWnp/OzQSih\nqdsJ1NX/a/73eV3eBvs3Zsv2LBi0fX5v61ffvn3dz00248k2rLNleBbA+rNi52zatEm7eLsT\n+vNjVXS+/dy/fPlydejQQU2bNq3olB2O2cQg2zXRzm/Xrl25mWJlT7Z4iG26Z33wJ5Av+3pD\nfFylGVgWYbQfTCxYZInQbG3nueeeu4OHRR/tB5lTTjllh9c4gAACCCCAAAIIIIAAAggggAAC\nCNSmgAWKK9plsKI+2LLAyoJXdp1NFrCPyooF8Hr16lXZaeVet5liNiOssmK/2LOPxlSqFMCy\n33redNNNzqVnz55ujaWt+aQggAACCCCAAAIIIIAAAggggAACCCAQaoEqBbDKdmLkyJFln/IY\nAQQQQAABBBBAAAEEEEAAAQQQCEuBo446ilQYYXLnAg5gjRkzRnffffdOh2e5d2wNqE1ls+z6\n9913X4NPJLZTDF5AAAEEEEAAAQQQQAABBBBAAIF6K3DnnXfW277RsfICEeWfVv6sf//+LsO9\nJYfefffddcYZZ+jCCy+Ubd9oycktgDVo0CC3HnTs2LHuuCUXoyCAAAIIIIAAAggggAACCCCA\nAAIIIFAdgYADWLYt4/z58/XMM8+4nQYtSPXEE09owoQJ7rjtsnfkkUdq8uTJ+uqrr1zG/XHj\nxlWnb1yDAAIIIIAAAggggAACCCCAAAIIIICAAg5gvfrqq9pvv/00atSoHfgswbvtWGgBLSsD\nBgzQkCFD9M033+xwLgcQQAABBBBAAAEEEEAAAQQQQAABBBCoikDAAaz169f/6VaNtj3lqlWr\nStvu1q2bVq9eXfqcBwgggAACCCCAAAIIIIAAAggggAACCAQiEHAA67DDDtMXX3yhJUuW7NBO\nQUGBXnzxRZcjy//ilClTNHjwYP9TPiOAAAIIIIAAAggggAACCCCAAAIIIBCQQMC7EP7lL3/R\nbbfdpoMOOkiXX3659t13X8XExLhcV5YXa/Hixfroo49UXFysYcOGafbs2XrggQcC6hQnI4AA\nAggggAACDUFgavpMvb9xoopUrBNaDNOAlL61Nqy6bLsmg8zMjdDXi+O1aG0T7dE+T/27Zys5\nrrgmVXJtJQJrt0Tpq5/itT49Sn275OiAXXMUHfBPCZU0wssIIIAAAgjUUCDgL00tW7Z0QalT\nTz1V2283ucsuu2j8+PEuifuKFSs0bdo0XXPNNW5Xwhr2k8sRQAABBBBAAIGwEpiTuUD3rHxc\nD3W9TXGRsfrbsjFqHp2q3RO6hXwcddl2TQf3wpQUdWpRoEsP26xvlsXr1WlNdenQLTWtlut3\nIpCd59M/JzbTaQdn6Jh9M/XmzKbKzo/Q0F7bdnIFhxFAAIH6K5Cenl7rnbM0SpTaEQg4gGXd\nsiCWLSPcuHGj24nwt99+U9euXdW7d283G8vO6di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QAQIECBAgQIAAAQIECBAgQEACyzWwS4H+r/2/KN1yc+Qm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\nQAABBBBAAAEEEEAgKPATKfN8MXbrp4AAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 600,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# new variable for each observation's predicted species. \n",
    "dat$Species_pred <- dat$Species\n",
    "\n",
    "# add the KNN predictions for test obs to dataset.\n",
    "dat$Species_pred[test.inds] <- test.spec.knn\n",
    "\n",
    "# in which cases does the observed Species equal the predicted?\n",
    "dat$KNN_correct <- dat$Species == dat$Species_pred\n",
    "\n",
    "# Plot\n",
    "ggplot(dat,aes(x=Petal.Length,y=Sepal.Length,col=Species)) + \n",
    "    # Base layer to show training points: \n",
    "    geom_point(size=2,shape=\"o\") + \n",
    "    # Next layer shows test points' KNN classifications:\n",
    "    geom_point(data=dat[test.inds,],\n",
    "               aes(x=Petal.Length,y=Sepal.Length,col=Species_pred)) + \n",
    "    # draw \"x\" over wrong ones.     \n",
    "    geom_point(data=dat[which(!dat$KNN_correct),],\n",
    "               aes(x=Petal.Length,y=Sepal.Length),shape=\"x\",col=\"black\",size=4) + \n",
    "    ggtitle(\"k=5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "5qz8mFWXhj5N"
   },
   "source": [
    "Since the plotting got a little confusing there, I'll just summarize: the circles are training data, the solid points are test data, colored by their KNN predicted species, and the ones marked with an \"x\" are incorrect predictions. \n",
    "\n",
    "We see only a few points labeled incorrectly. As you might have predicted, these fall along the edge between the blue and green clusters.\n",
    "\n",
    "We can also visualize our results as a confusion matrix, like we did in the previous tutorial on other classifier methods: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 139
    },
    "executionInfo": {
     "elapsed": 353,
     "status": "ok",
     "timestamp": 1611796940452,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "iu4soBBxjQyg",
    "outputId": "462a5932-0b57-4210-e251-bc0e111f5948"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "            actual\n",
       "predicted    setosa versicolor virginica\n",
       "  setosa         12          0         0\n",
       "  versicolor      0          6         1\n",
       "  virginica       0          3         8"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"---\"\n",
      "[1] \"Accuracy: 0.866666666666667\"\n"
     ]
    }
   ],
   "source": [
    "confusion_df <- data.frame(predicted = test.spec.knn,actual = dat$Species[test.inds])\n",
    "table(confusion_df)\n",
    "print(\"---\")\n",
    "print(paste(\"Accuracy:\",mean(confusion_df$predicted == confusion_df$actual)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WTZeD2nGkWyr"
   },
   "source": [
    "Mirroring what we saw in the plot above, 4 cases were mislabeled. 3 versicolor irises were incorrectly classified as virginica, and one viginica was incorrectly classified as versicolor."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "q8MQla7QiNn-"
   },
   "source": [
    "## Varying k"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "qNjseqWDofjI"
   },
   "source": [
    "When we change k, the KNN predictions change. To demonstrate this, let's look at `k=1` and `k=100`: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "id": "c1IPRrLcqN6Q"
   },
   "outputs": [],
   "source": [
    "dat$Species_predK1 <- dat$Species\n",
    "dat$Species_predK100 <- dat$Species\n",
    "dat$Species_predK1[test.inds] <- knn(train.preds,test.preds,train.spec,k=1)\n",
    "dat$Species_predK100[test.inds] <- knn(train.preds,test.preds,train.spec,k=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "vYoy_UOGraYf"
   },
   "source": [
    "Plotting results for `k = 1` first:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 617
    },
    "executionInfo": {
     "elapsed": 959,
     "status": "ok",
     "timestamp": 1611799957048,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "GIe-whS0rjwR",
    "outputId": "a56f11c5-a9ea-4f14-b0c1-e94037ecf42b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Accuracy: 0.9\"\n",
      "[1] 38\n"
     ]
    },
    {
     "data": {
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lelUsl6qerLuUB7e3skx9l0UJzz5Sg/\nwwLJmbPJsZb8TLcRqJVA8meFtra2GB8fn/qq1TzGJZAItLa2xujoKAwCNRVobm6e+vRJ8mc1\n7w1qSm3wqsBS/VxLfm93d3frAYFUBJY0wEpWcO+998Yll1wytZjh4eF461vfOnU/+YE+c0s+\navj7v//7Mx+Kr371q3H66afv85g7BAgQIECAAAECBAgQIECAwNILDAwMRFdX19IXooKGEFjS\nACs5qyoJrz7ykY/E+eefH7/4xS+mzr5KPkZ46aWX7gOc/M1EEnDN3JILvi/hCWQzS5nz7eR/\n3uRvWF66ljkP4IUE5iCQnKlw6KGHxsjISOzcuXMOe3gJgYULrFy5Mvbs2eOsmIUT2nMOAsmZ\nfr29vZH8Qbi/v38Oe3gJgYULrF69OrZv377wAexJYA4CHR0dsWLFiti1a5dLqMzBy0sWJ7BU\nP9eST4Ukf1a0EUhDYEn/FcIbbrghNm3aFBdccMHUWo499tj4rd/6rfjkJz859a8RdnZ27l1j\n8gfX5Gvmlrw5z+vHo/IWvM10dztfAo61fPUrr9Umx5ljLa/dy0fd08eXYy0f/WqEKqePuUZY\nizVkU2D6GPNzLZv9acSqpo+5RlybNRVDYEkv4p6chfTS0wmTjw4mn5NNwikbAQIECBAgQIAA\nAQIECBAgQIAAgSUNsM4999xIPkZ4/fXXT1389+c//3lcffXVsXnz5ujp6dEdAgQIECBAgAAB\nAgQIECBAgAABArGkHyE844wzpv4Vwr/8y7+Mv/iLv5i6LtTrX//6qWti6Q0BAgQIECBAgAAB\nAgQIECBAgACBRGBJA6ykgHe84x3x9re/PZ5++umpi7vNvO5V8ryNAAECBAgQIECAAAECBAgQ\nIECg2AJLHmAl/E1NTXH44YcXuxNWT4AAAQIECBAgQIAAAQIECBAgsF+BJb0G1n4r8iABAgQI\nECBAgAABAgQIECBAgACBGQICrBkYbhIgQIAAAQIECBAgQIAAAQIECGRPQICVvZ6oiAABAgQI\nECBAgAABAgQIECBAYIaAAGsGhpsECBAgQIAAAQIECBAgQIAAAQLZExBgZa8nKiJAgAABAgQI\nECBAgAABAgQIEJghIMCageEmAQIECBAgQIAAAQIECBAgQIBA9gQEWNnriYoIECBAgAABAgQI\nECBAgAABAgRmCAiwZmC4SYAAAQIECBAgQIAAAQIECBAgkD0BAVb2eqIiAgQIECBAgAABAgQI\nECBAgACBGQICrBkYbhIgQIAAAQIECBAgQIAAAQIECGRPQICVvZ6oiAABAgQIECBAgAABAgQI\nECBAYIaAAGsGhpsECBAgQIAAAQIECBAgQIAAAQLZExBgZa8nKiJAgAABAgQIECBAgAABAgQI\nEJghIMCageEmAQIECBAgQIAAAQIECBAgQIBA9gQEWNnriYoIECBAgAABAgQIECBAgAABAgRm\nCAiwZmC4SYAAAQIECBAgQIAAAQIECBAgkD0BAVb2eqIiAgQIECBAgAABAgQIECBAgACBGQIC\nrBkYbhIgQIAAAQIECBAgQIAAAQIECGRPoJy9klREgAABAgQIECBAgAABAo0m8NTOcty8pTOe\n7ivHaa8YilOPHooW70gbrc3WQ6BmAs7AqhmtgQkQIECAAAECBAgQIEAgERgcKcXnv7sqNq4d\nife/cWds2doWN23pgkOAAIE5Cwiw5kzlhQQIECBAgAABAgQIECCwEIFHt7VGT9dEnLRhJLrb\nJ+O8TXvijkfaFzKUfQgQKKiAAKugjbdsAgQIECBAgAABAgQI1Eug3DwZna0Te6frbJ2MvsHm\nvffdIECAwMEEBFgHE/I8AQIECBAgQIAAAQIECCxK4LhDR+OZXeXoH3r+LehPf9EeG3rHFjWm\nnQkQKJaAS+YVq99WS4AAAQIECBAgQIAAgboLNFVzq3eetju+fENPjFciStUKPnjuzrrXYUIC\nBPIrIMDKb+9UToAAAQIECBAgQIAAgdwInHzUcCRfw2OlaG+ZzE3dCiVAIBsCPkKYjT6oggAB\nAgQIECBAgAABAoUQEF4Vos0WSSB1AQFW6qQGJECAAAECBAgQIECAAAECBAgQSFNAgJWmprEI\nECBAgAABAgQIECBAgAABAgRSFxBgpU5qQAIECBAgQIAAAQIECBAgQIAAgTQFBFhpahqLAAEC\nBAgQIECAAAECBAgQIEAgdQEBVuqkBiRAgAABAgQIECBAgAABAgQIEEhTQICVpqaxCBAgQIAA\nAQIECBAgQIAAAQIEUhcQYKVOakACBAgQIECAAAECBAgQIECAAIE0BQRYaWoaiwABAgQIECBA\ngAABAgQIECBAIHUBAVbqpAYkQIAAAQIECBAgQIAAAQIECBBIU0CAlaamsQgQIECAAAECBAgQ\nIECAAAECBFIXEGClTmpAAgQIECBAgAABAgQIECBAgACBNAUEWGlqGosAAQIECBAgQIAAAQIE\nCBAgQCB1AQFW6qQGJECAAAECBAgQIECAAAECBAgQSFNAgJWmprEIECBAgAABAgQIECBAgAAB\nAgRSFxBgpU5qQAIECBAgQIAAAQIECBAgQIAAgTQFBFhpahqLAAECBAgQIECAAAECBAgQIEAg\ndQEBVuqkBiRAgAABAgQIECBAgAABAgQIEEhTQICVpqaxCBAgQIAAAQIECBAgQIAAAQIEUhcQ\nYKVOakACBAgQIECAAAECBAgQIECAAIE0BQRYaWoaiwABAgQIECBAgAABAgQIECBAIHUBAVbq\npAYkQIAAAQIECBAgQIAAAQIECBBIU0CAlaamsQgQIECAAAECBAgQIECAAAECBFIXEGClTmpA\nAgQIECBAgAABAgQIECBAgACBNAUEWGlqGosAAQIECBAgQIAAAQIECBAgQCB1AQFW6qQGJECA\nAAECBAgQIECAAAECBAgQSFNAgJWmprEIECBAgAABAgQIECBAgAABAgRSFxBgpU5qQAIECBAg\nQIAAAQIECBAgQIAAgTQFBFhpahqLAAECBAgQIECAAAECBAgQIEAgdQEBVuqkBiRAgAABAgQI\nECBAgAABAgQIEEhTQICVpqaxCBAgQIAAAQIECBAgQIAAAQIEUhcQYKVOakACBAgQIECAAAEC\nBAgQIECAAIE0BQRYaWoaiwABAgQIECBAgAABAgQIECBAIHUBAVbqpAYkQIAAAQIECBAgQIAA\nAQIECBBIU0CAlaamsQgQIECAAAECBAgQIECAAAECBFIXEGClTmpAAgQIECBAgAABAgQIECBA\ngACBNAUEWGlqGosAAQIECBAgQIAAAQIECBAgQCB1AQFW6qQGJECAAAECBAgQIECAAAECBAgQ\nSFNAgJWmprEIECBAgAABAgQIECBAgAABAgRSFxBgpU5qQAIECBAgQIAAAQIECBAgQIAAgTQF\nBFhpahqLAAECBAgQIECAAAECBAgQIEAgdQEBVuqkBiRAgAABAgQIECBAgAABAgQIEEhTQICV\npqaxCBAgQIAAAQIECBAgQIAAAQIEUhcQYKVOakACBAgQIECAAAECBAgQIECAAIE0BQRYaWoa\niwABAgQIECBAgAABAgQIECBAIHUBAVbqpAYkQIAAAQIECBAgQIAAAQIECBBIU0CAlaamsQgQ\nIECAAAECBAgQIECAAAECBFIXEGClTmpAAgQIECBAgAABAgQIECBAgACBNAUEWGlqGosAAQIE\nCBAgQIAAAQIECBAgQCB1gXLqIxqQAAECBAgQIECAAAECBGoiUJmIuO2hzrjrsfZYs3w8zt44\nGOt6xmsyl0GfFxit8l5968q4/8m2WNFZiTdv7o/NG0bqwqPfdWE2SU4EnIGVk0YpkwABAgQI\nECBAgAABAtfd1xV3P94WF53VFycfNRxXXr8qkpDDVjuBL/2gJx54qjUu/pXn4peOHYyrbuyJ\nJNSqx6bf9VA2R14EBFh56ZQ6CRAgQIAAAQIECBAovMA9j7fHG6pnXa3snIgT1o7GEavG4oHq\nmUG22gk88mzr1JluR/aOx3knDkZ320R8797u2k04Y2T9noHhZuEFBFiFPwQAECBAgAABAgQI\nECCQF4Fy82R0VgOU6a2jdSL6Bpun7/peA4GmUkx9dHB66NaWydi2uz5X49HvaXXfCUQIsBwF\nBAgQIECAAAECBAgQyInA5g3DU9e/SsodHivFg0+1xYbVozmpPp9lblw7Erdu6Zwqvm+wKZ7r\nb45N64frshj9rguzSXIiUJ/YOCcYyiRAgAABAgQIECBAgECWBU49ZiiuuXN5fPba3thdDVPO\n2zQQyUfbbLUTeNvrdscXv98bf/DNQ2OsUooT14/Eaa+oT4Cl37Xrq5HzJyDAyl/PVEyAAAEC\nBAgQIECAQEEFutsn48Izdk1dRLxc/TxNk8/U1PxIOHTFRPyf79gWe6qZVXv1HXS5ju+i9bvm\n7TVBjgTq+L9ejlSUSoAAAQIECBAgQIAAgQwLtHonV/fudLfXfcq9E+r3Xgo3Ciwgry9w8y2d\nAAECBAgQIECAAAECBAgQIJAHAQFWHrqkRgIECBAgQIAAAQIECBAgQIBAgQUEWAVuvqUTIECA\nAAECBAgQIECAAAECBPIgIMDKQ5fUSIAAAQIECBAgQIAAAQIECBAosIAAq8DNt3QCBAgQIECA\nAAECBAgQIECAQB4EBFh56JIaCRAgQIAAAQIECBAgQIAAAQIFFhBgFbj5lk6AAAECBAgQIECA\nAAECBAgQyIOAACsPXVIjAQIECBAgQIAAAQIECBAgQKDAAgKsAjff0gkQIECAAAECBAgQIECA\nAAECeRAQYOWhS2okQIAAAQIECBAgQIAAAQIECBRYQIBV4OZbOgECBAgQIECAAAECBAgQIEAg\nDwICrDx0SY0ECBAgQIAAAQIECBAgQIAAgQILCLAK3HxLJ0CAAAECBAgQIECAAAECBAjkQUCA\nlYcuqZEAAQIECBAgQIAAAQIECBAgUGABAVaBm2/pBAgQIECAAAECBAgQIECAAIE8CAiw8tAl\nNRIgQIAAAQIECBAgQIAAAQIECiwgwCpw8y2dAAECBAgQIECAAAECBAgQIJAHAQFWHrqkRgIE\nCBAgQIAAAQIECBAgQIBAgQXKBV67pRMgQIAAAQIECBAgQIBAAQT+53Pl+OGWztjeX47De8bi\nja8cjNXLKgVYuSUSaBwBAVbj9NJKCBAgQIAAAQIECBAgQOAlAj95pD2+dvPKqUcnoxRbnm6N\nm37WFf/7+Tvi+LWjL3m1uwQIZFXARwiz2hl1ESBAgAABAgQIECBAgMCiBAZGSvGNW1ZGElwl\nX8k2OVmKykTE/33Tyqnvi5rAzgQI1E1AgFU3ahMRIECAAAECBAgQIECAQD0FtmxtqwZX+9tK\nMTDSFP9zR8v+nvQYAQIZFBBgZbApSiJAgAABAgQIECBAgACBxQuMjpdeOO/q5WMl52ONVZ+3\nESCQDwEBVj76pEoCBAgQIECAAAECBAgQmKfAKw4ZnfVjgk3V7OqI3rF5jujlBAgslYAAa6nk\nzUuAAAECBAgQIECAAAECNRVYs7wSb3jlQDSV9v0gYal6/9dP2R3tLfs+XtNiDE6AwKIE/CuE\ni+KzMwECBAgQIECAAAECBAhkWeA3TuuPQ6tB1vX3d8WuweZYvWw8LjhpT5xy9HCWy1YbAQIv\nERBgvQTEXQIECBAgQIAAAQIECBBoHIFS9aOCb3jl4NRX46zKSggUT8BHCIvXcysmQIAAAQIE\nCBAgQIAAAQIECORKQICVq3YplgABAgQIECBAgAABAgQIECBQPAEBVvF6bsUECBAgQIAAAQIE\nCBAgQIAAgVwJCLBy1S7FEiBAgAABAgQIECBAgAABAgSKJyDAKl7PrZgAAQIECBAgQIAAAQIE\nCBAgkCsBAVau2qVYAgQIECBAgAABAgQIECBAgEDxBARYxeu5FRMgQIAAAQIECBAgQIAAAQIE\nciUgwMpVuxRLgAABAgQIECBAgAABAgQIECiegACreD23YgIECBAgQIAAAQIECBAgQIBArgQE\nWLlql2IJECBAgAABAgQIECBAgAABAsUTEGAVr+dWTIAAAQIECBAgQIAAAQIECBDIlYAAK1ft\nUiwBAgQIECBAgAABAgQIECBAoHgCAqzi9dyKCRAgQIAAAQIECBAgQIAAAQK5EhBg5apdiiVA\ngAABAgQIECBAgAABAgQIFE9AgFW8nlsxAQIECBAgQIAAAQIECBAgQCBXAgKsXLVLsQQIECBA\ngAABAgQIECBAgACB4gkIsIrXcysmQIAAAQIECBAgQIAAAQIECORKQICVq3YplgABAgQIECBA\ngAABAgQIECBQPAEBVvF6bsUECBAgQIAAAQIECBAgQIAAgVwJCLBy1S7FEiBAgAABAgQIECBA\ngAABAgSKJyDAKl7PrZgAAQIECBAgQIAAAQIECBAgkCsBAVau2qVYAgQIECBAgAABAgQIECBA\ngEDxBMp5XnJzc3MkX3nayuVyNDU1xeTkZJ7KVmtOBZJjrb29PafVKzsvAslx1tbWFsnPNxuB\nWglM/75PjjM/12qlbNxpgVKp5DibxvC9ZgItLS1TYyffvTeoGbOBXxBYqp9rybw2AmkJ5Prd\nRvKH2eSNU562pObkf+LpX1h5ql2t+RNwrOWvZ3msOPk5PB3O57F+NedDYPr3ffLd79B89CzP\nVfr9mefu5af26WA++e7nWn76ltdKl+rnmnA2r0dMNuvOdYA1OjoaY2Nj2ZSdparu7u6oVCox\nNDQ0yys8TGDxAskvqOljrb+/f/EDGoHAAQSS8GpgYCDGx8cP8CpPEVicQPLmrrOzM5Lf/X6u\nLc7S3gcXSM7yc5wd3MkrFifQ0dExdabf8PCw9waLo7T3HASW6udacpzbCKQlkK/Tl9JatXEI\nECBAgAABAgQIECBAgAABAgRyIyDAyk2rFEqAAAECBAgQIECAAAECBAgQKKaAAKuYfbdqAgQI\nECBAgAABAgQIECBAgEBuBARYuWmVQgkQIECAAAECBAgQIECAAAECxRQQYBWz71ZNgAABAgQI\nECBAgAABAgQIEMiNgAArN61SKAECBAgQIECAAAECBAgQIECgmAICrGL23aoJECBAgAABAgQI\nECBAgAABArkREGDlplUKJUCAAAECBAgQIECAAAECBAgUU0CAVcy+WzUBAgQIECBAgAABAgQI\nECBAIDcCAqzctEqhBAgQIECAAAECBAgQIECAAIFiCgiwitl3qyZAgAABAgQIECBAgAABAgQI\n5EZAgJWbVimUAAECBAgQIECAAAECBAgQIFBMAQFWMftu1QQIECBAgAABAgQIECBAgACB3AgI\nsHLTKoUSIECAAAECBAgQIECAAAECBIopIMAqZt+tmgABAgQIECBAgAABAgQIECCQGwEBVm5a\npVACBAgQIECAAAECBAgQIECAQDEFBFjF7LtVEyBAgAABAgQIECBAgAABAgRyIyDAyk2rFEqA\nAAECBAgQIECAAAECBAgQKKaAAKuYfbdqAgQIECBAgAABAgQIECBAgEBuBARYuWmVQgkQIECA\nAAECBAgQIECAAAECxRQQYBWz71ZNgAABAgQIECBAgAABAgQIEMiNgAArN61SKAECBAgQIECA\nAAECBAgQIECgmAICrGL23aoJECBAgAABAgQIECBAgAABArkRKOemUoUSIECAAAECBAgQIECg\n4AKViYjbHuqMux5rjzXLx+PsjYOxrme84CqWT4BAEQScgVWELlsjAQIECBAgQIAAAQINIXDd\nfV1x9+NtcdFZfXHyUcNx5fWrIgm1bAQIEGh0AQFWo3fY+ggQIECAAAECBAgQaBiBex5vjzdU\nz7pa2TkRJ6wdjSNWjcUDT7Y1zPoshAABArMJCLBmk/E4AQIECBAgQIAAAQIEMiZQbp6MzrYX\nT7nqaJ2IvsHmjFWpHAIECKQvIMBK39SIBAgQIECAAAECBAgQqInA5g3DU9e/SgYfHivFg0+1\nxYbVozWZy6AECBDIkoCLuGepG2ohQIAAAQIECBAgQIDAAQROPWYorrlzeXz22t7YPdgU520a\niCN7XcT9AGSeIkCgQQQEWA3SSMsgQIAAAQIECBAgQKDxBbrbJ+PCM3bFaDWzKlc/T9PkMzWN\n33QrJEBgSkCA5UAgQIAAAQIECBAgQIBAzgRavZPLWceUS4DAYgXk9YsVtD8BAgQIECBAgAAB\nAgQIECBAgEBNBQRYNeU1OAECBAgQIECAAAECBAgQIECAwGIFBFiLFbQ/AQIECBAgQIAAAQIE\nCBAgQIBATQUEWDXlNTgBAgQIECBAgAABAgQIECBAgMBiBQRYixW0PwECBAgQIECAAAECBAgQ\nIECAQE0FBFg15TU4AQIECBAgQIAAAQIECBAgQIDAYgUEWIsVtD8BAgQIECBAgAABAgQIECBA\ngEBNBQRYNeU1OAECBAgQIECAAAECBAgQIECAwGIFBFiLFbQ/AQIECBAgQIAAAQIECBAgQIBA\nTQUEWDXlNTgBAgQIECBAgAABAgQIECBAgMBiBQRYixW0PwECBAgQIECAAAECBAgQIECAQE0F\nBFg15TU4AQIECBAgQIAAAQIECBAgQIDAYgUEWIsVtD8BAgQIECBAgAABAgQIECBAgEBNBQRY\nNeU1OAECBAgQIECAAAECBAgQIECAwGIFBFiLFbQ/AQIECBAgQIAAAQIECBAgQIBATQUEWDXl\nNTgBAgQIECBAgAABAgQIECBAgMBiBQRYixW0PwECBAgQIECAAAECBAgQIECAQE0FBFg15TU4\nAQIECBAgQIAAAQIECBAgQIDAYgUEWIsVtD8BAgQIECBAgAABAgQIECBAgEBNBQRYNeU1OAEC\nBAgQIECAAAECBAgQIECAwGIFyosdwP4ECBAgQIAAAQIECBAg0PgClYmI2x7qjLsea481y8fj\n7I2Dsa5nvPEXboUECGRCwBlYmWiDIggQIECAAAECBAgQIJBtgevu64q7H2+Li87qi5OPGo4r\nr18VSahlI0CAQD0EBFj1UDYHAQIECBAgQIAAAQIEci5wz+Pt8YbqWVcrOyfihLWjccSqsXjg\nybacr0r5BAjkRUCAlZdOqZMAAQIECBAgQIAAAQJLKFBunozOthdPueponYi+weYlrMjUBAgU\nSUCAVaRuWysBAgQIECBAgAABAgQWKLB5w/DU9a+S3YfHSvHgU22xYfXoAkezGwECBOYn4CLu\n8/PyagIECBAgQIAAAQIECBRS4NRjhuKaO5fHZ6/tjd2DTXHepoE4stdF3At5MFg0gSUQEGAt\nAbopCRAgQIAAAQIECBAgkDeB7vbJuPCMXTFazazK1c/yNPk8T95aqF4CuRYQYOW6fYonQIAA\nAQIECBAgQIBAfQVavYusL7jZCBCYEpCZOxAIECBAgAABAgQIECBAgAABAgQyLSDAynR7FEeA\nAAECBAgQIECAAAECBAgQICDAcgwQIECAAAECBAgQIECAAAECBAhkWkCAlen2KI4AAQIECBAg\nQIAAAQIECBAgQECA5RggQIAAAQIECBAgQIAAAQIECBDItIAAK9PtURwBAgQIECBAgAABAgQI\nECBAgIAAyzFAgAABAgQIECBAgAABAgQIECCQaQEBVqbbozgCBAgQIECAAAECBAgQIECAAAEB\nlmOAAAECBAgQIECAAAECBAgQIEAg0wICrEy3R3EECBAgQIAAAQIECBAgQIAAAQICLMcAAQIE\nCBAgQIAAAQIECBAgQIBApgUEWJluj+IIECBAgAABAgQIECBAgAABAgQEWI4BAgQIECBAgAAB\nAgQIECBAgACBTAsIsDLdHsURIECAAAECBAgQIECAAAECBAgIsBwDBAgQIECAAAECBAgQIECA\nAAECmRYQYGW6PYojQIAAAQIECBAgQIAAAQIECBAQYDkGCBAgQIAAAQIECBAgQIAAAQIEMi0g\nwMp0exRHgAABAgQIECBAgAABAgQIECAgwHIMECBAgAABAgQIECBAgAABAgQIZFqgnOnqFEeA\nAAECBAgQIECAAIEGE3h8e0vc/B8dsW1PxCHLOuLs48fiiN7xOa1yrPqym7d0xT2Pt0WpFPHa\nI4fjzBMGo6V5Trt7EQECBHIrIMDKbesUToAAAQIECBAgQIDAQgWe2lmuBkGd8XRfOU57xVCc\nevRQtNTh3dEdj7bHV29aGZMvFP5wtMZtW1bH+8/pi80bhg+4nJGxUvzl/9c7VfPEZDW9qm4/\nf6Y1/u3nHXHJrz5Xl/oPWKAnCRAgUEMBHyGsIa6hCRAgQIAAAQIECBDInsDgSCk+/91VsXHt\nSLz/jTtjy9a2uKl6VlOtt+FqAPWNW5LwKgmfng+gktvJ19d/uCKSgOpA2/fu64qt1cBtOrxK\nXlupBllP7GyJGx6sff0Hqs1zBAgQqLWAAKvWwsYnQIAAAQIECBAgQCBTAo9ua42erok4acNI\ndLdPxnmb9sQdj7TXvMaHq2dLVSb2P834RCke2day/ydfePSuxzpi8oUzr2a+sFLd985HO2Y+\n5DYBAgQaTkCA1XAttSACBAgQIECAAAECBA4kUG6ejM7WF5OkztbJ6Bus/UWkxivV865mOckq\neXi8MsuTLyxm/MWSX7a82YKxl73QAwQIEMipgAArp41TNgECBAgQIECAAAECCxM47tDReGZX\nOfqHnn879NNftMeG3rGFDTaPvV5xyFj1DKr97zBRffyYQ0b3/+QLj75q3Ug1AHv5AE3Vxzat\nHzngvp4kQIBA3gXqcJnCvBOpnwABAgQIECBAgACBRhJoquZW7zxtd3z5hp7qWU/PX43qg+fu\nrPkSl3VMxFtO7o/v3LnshetgPT9lEkq9/XX90dX28nBqZlG/9to98dPqReAHRpr27p/su7w6\n7pteXf0nDW0ECBBoYAEBVgM319IIECBAgAABAgQIENi/wMlHDUfylVxYvb3lwMHR/kdY2KO/\n8uqB6O2uxHX3LYvn9pRjzbLxOP/E/qlaDjZiEoB99G3b4zs/XRb3PdE29fLXHDEcb33dnoOG\nXwcb2/MECBDIuoAAK+sdUh8BAgQIECBAgAABAjUTqGd4Nb2IU44ejrNeVYqVK1dGX9+eGBoa\nnn7qoN9XdE7E/3LmroO+zgsIECDQaAKugdVoHbUeAgQIECBAgAABAgQIECBAgECDCQiwGqyh\nlkOAAAECBAgQIECAAAECBAgQaDQBAVajddR6CBAgQIAAAQIECBAgQIAAAQINJiDAarCGWg4B\nAgQIECBAgAABAgQIECBAoNEEBFiN1lHrIUCAAAECBAgQIECAAAECBAg0mIAAq8EaajkECBAg\nQIAAAQIECBAgQIAAgUYTEGA1WkethwABAgQIECBAgAABAgQIECDQYAICrAZrqOUQIECAAAEC\nBAgQIECAAAECBBpNQIDVaB21HgIECBAgQIAAAQIECBAgQIBAgwkIsBqsoZZDgAABAgQIECBA\ngAABAgQIEGg0AQFWo3XUeggQIECAAAECBAgQIECAAAECDSYgwGqwhloOAQIECBAgQIAAAQIE\nCBAgQKDRBARYjdZR6yFAgAABAgQIECBAgAABAgQINJiAAKvBGmo5BAgQIECAAAECBAgQIECA\nAIFGExBgNVpHrYcAAQIECBAgQIAAAQIECBAg0GACAqwGa6jlECBAgAABAgQIECBAgAABAgQa\nTUCA1WgdtR4CBAgQIECAAAECBAgQIECAQIMJCLAarKGWQ4AAAQIECBAgQIAAAQIECBBoNAEB\nVqN11HoIECBAgAABAgQIECBAgAABAg0mIMBqsIZaDgECBAgQIECAAAECBAgQIECg0QTKjbYg\n6yFAgAABAgQIECBAgEAtBSoTEbc91Bl3PdYea5aPx9kbB2Ndz3gtpzQ2AQIECi/gDKzCHwIA\nCBAgQIAAAQIECBCYj8B193XF3Y+3xUVn9cXJRw3HldeviiTUshEgQIBA7QQEWLWzNTIBAgQI\nECBAgAABAg0ocM/j7fGG6llXKzsn4oS1o3HEqrF44Mm2BlypJREgQCA7AgKs7PRCJQQIECBA\ngAABAgQI5ECg3DwZnW0vnnLV0ToRfYPNOahciQQIEMivgAArv71TOQECBAgQIECAAAECSyCw\necPw1PWvkqmHx0rx4FNtsWH16BJUYkoCBAgUR8BF3IvTayslQIAAAQIECBAgQCAFgVOPGYpr\n7lwen722N3YPNsV5mwbiyF4XcU+B1hAECBCYVUCANSuNJwgQIECAAAECBAgQIPByge72ybjw\njF0xWs2sytXPtDT5XMvLkTxCgACBlAUEWCmDGo4AAQIECBAgQIAAgWIItHo3VYxGWyUBApkQ\n8HcFmWiDIggQIECAAAECBAgQIECAAAECBGYTEGDNJuNxAgQIECBAgAABAgQIECBAgACBTAgI\nsDLRBkUQIECAAAECBAgQIECAAAECBAjMJiDAmk3G4wQIECBAgAABAgQIECBAgAABApkQEGBl\nog2KIECAAAECBAgQIECAAAECBAgQmE1AgDWbjMcJECBAgAABAgQIECBAgAABAgQyISDAykQb\nFEGAAAECBAgQIECAAAECBAgQIDCbgABrNhmPEyBAgAABAgQIECBAgAABAgQIZEJAgJWJNiiC\nAAECBAgQIECAAAECBAgQIEBgNgEB1mwyHidAgAABAgQIECBAgAABAgQIEMiEgAArE21QBAEC\nBAgQIECAAAECBAgQIECAwGwCAqzZZDxOgAABAgQIECBAgAABAgQIECCQCQEBVibaoAgCBAgQ\nIECAAAECBAgQIECAAIHZBARYs8l4nAABAgQIECBAgAABAgQIECBAIBMCAqxMtEERBAgQIECA\nAAECBAgQIECAAAECswkIsGaT8TgBAgQIECBAgAABAgQIECBAgEAmBARYmWiDIggQIECAAAEC\nBAgQIECAAAECBGYTEGDNJuNxAgQIECBAgAABAgQIECBAgACBTAiUl7KKe+65J7Zu3brfEs48\n88zo6ura73MeJECAAAECBAgQIECAAAECBAgQKI7AkgZYN954Y9x88837aPf398fg4GB861vf\nEmDtI+MOAQIECBAgQCD7AuOTlfgfz14b39txY4xMjMYZK06NCw97Zywrd2e/eBUSIECAAAEC\nmRVY0gDr4osvjuRrekuCq/e85z3xlre8JQ499NDph30nQIAAAQIECBDIgUClGl79b1s+Ej/t\nvzcq1f+S7WeDD8e3t383/nbTlbGqZWUOVqFEAgQIECBAIIsCmboG1pVXXhkdHR3xgQ98IItW\naiJAgAABAgQIEDiAwHe2f2+f8Cp5aRJkbR/bEZc/cdUB9vQUAQIECBAgQODAAkt6BtbM0u66\n66749re/HVdddVW0trbOfGrq9g9/+MP49Kc/vc/jn/jEJ+I1r3nNPo9l/U5T0/OZoet7Zb1T\njVFfS0tLrF69ujEWYxWZFWhubo6enp6YnJzMbI0Ky79AqVSaWkTyF11tbW35X1CDruCWR/9t\n75lXM5eYhFg37/pRbn4nJT/X/P6c2UG3ayEw/XOtu7vbpVNqAWzMfQSW6ufayMjIPnW4Q2Ax\nApkJsP7hH/4hTj755Dj++OP3u57h4eF4+umn93muUqlE8j9inrbpX1TT3/NUu1rzJ5AcZ3n7\nfyR/yipOjrPpcJ4GgVoLJMea36G1Vl74+OPVoGq2Lfl4YZ5+J+Wp1tnMPZ4PAb9D89GnRqhy\nKX6u+Z3dCEdOdtaQiQBr+/btcfvtt8ell146q8z5558fydfMLdnvmWeemflQ5m8nf8OSBG9D\nQ0OZr1WB+RVIflEcdthhMTo6Gjt27MjvQlSeC4Hk7KvkH+AYHx/PRb2KzKfA9BmlAwMDU8db\nPlfR+FWf1nFS3Fb6SYxP7vvzoBo7xmnLNufmz21r1qyJbdu2NX7DrHBJBZIzSleuXBm7d+/2\n3mBJO1GMyZfq51pynNsIpCWQiWtgXXvttdHb2xtnnHFGWusyDgECBAgQIECAQJ0F/sshb46j\n2tdHU/W/6a1UDa86mzvjD474r9MP+U6AAAECBAgQmLfAi3+6mPeu6e3w4x//OM4888wolzNx\nQlh6CzMSAQIECBAgQKBAAm1NrfE3r7w8LjrsN2Jt66HRW+6JX+v95fjHTV+Jw9sOK5CEpRIg\nQIAAAQJpC2QiMXrsscde9vHAtBdqPAIECBAgQIAAgdoLdDZ3xH874v1TX7WfzQwECBAgQIBA\nUQSW/AysnTt3Tl3L4phjjimKuXUSIECAAAECBAgQIECAAAECBAjMQ2DJz8BKLv77wx/+cB4l\neykBAgQIECBAgAABAgQIECBAgECRBJb8DKwiYVsrAQIECBAgQIAAAQIECBAgQIDA/AUEWPM3\nswcBAgQIECBAgAABAgQIECBAgEAdBQRYdcQ2FQECBAgQIECAAAECBAgQIECAwPwFBFjzN7MH\nAQIECBAgQIAAAQIECBAgQIBAHQUEWHXENhUBAgQIECBAgAABAgQIECBAgMD8BQRY8zezBwEC\nBAgQIECAAAECBAgQIECAQB0FBFh1xDYVAQIECBAgQIAAAQIECBAgQIDA/AUEWPM3swcBAgQI\nECBAgAABAgQIECBAgEAdBQRYdcQ2FQECBAgQIECAAAECBAgQIECAwPwFBFjzN7MHAQIECBAg\nQIAAAQIECBAgQIBAHQUEWHXENhUBAgQIECBAgAABAgQIECBAgMD8BQRY8zezBwECBAgQIECA\nAAECBAgQIECAQB0FBFh1xDYVAQIECBAgQIAAAQIECBAgQIDA/AUEWPM3swcBAgQIECBAgAAB\nAgQIECBAgEAdBQRYdcQ2FQECBAgQIECAAAECBAgQIECAwPwFBFjzN7MHAQIECBAgQIAAAQIE\nCBAgQIBAHQUEWHXENhUBAgQIECBAgEBjCVx22WXxoQ99KG6++eZ9Ftbf3x8XX3xxfPjDH47n\nnntun+fcIUCAAAECBOYvUJ7/LvYgQIAAAQIECBAgQCAROOecc+I3fuM34kc//lH83j/89/jh\n2E9ifHIstv9fj8W9//rv8Yd/+IfR29sLiwABAgQIEFikgABrkYB2J0CAAAECBAgQyI7ALX3/\nFt/Z/t2oxET8+upfjTNXnlbT4s4444z4wAc/EF/58lfiM5d9JpZ9eG0M3dwXu//1yeh+9cp4\n74ffV9P50xj8qZ3luHlLZzzdV47TXjEUpx49FC05eJdQmYi47aHOuOux9lizfDzO3jgY63rG\n0yAxBgECBAhkUMBHCDPYFCURIECAAAECBAjMX+Df+++LT//iinjf2nfHxet/N6544qp4cOCh\n+Q80zz1e8bsnRvmo9hi8bkcM3dgX/V/cGqVlzdF9yeHxpa3fmOdo9X354EgpPv/dVbFx7Ui8\n/407Y8vWtrhpS1d9i1jgbNfd1xV3P94WF53VFycfNRxXXr8qklDLRoAAAQKNKSDAasy+WhUB\nAgQIECBAoHACN/X9KH6558zY2HVsbGhfH29d/ab41x031Nzhpv7bY8V/XxfRUordn3syJgcn\nYsV/WxeTq0pxw85baz7/YiZ4dFtr9HRNxEkbRqK7fTLO27Qn7nikfTFD1m3fex5vjzdUz7pa\n2TkRJ6wdjSNWjcUDT7bVbX4TESBAgEB9BQRY9fU2GwECBAgQIECAQI0EWptaYnl52d7Rl5W7\n45nRbXvv1+pGpfqBxfKR7dF+xvKpKZrXtUbr67qnbk9MZvuUoHLzZHS2vlhjZ+tk9A0214oq\n1XGnam97sfaO6jryUnuqEAYjQIBAQQQEWAVptGUSIECAAAECBBpd4Lyes+PGvttibGIskuDo\nB9WznzZ1nVDzZZ+98j9F5aGxGL55V0S5FJUnR2PwmueiOcpxxopTaz7/YiY47tDReGZXOfqH\nnn9b8NNftMeG3rHFDFm3fTdvGJ66/lUy4fBYKR58qi02rB6t2/wmIkCAAIH6CuTg8oz1BTEb\nAQIECBAgQIBAPgWO6zw6zlxxWrz3Z78fg5Xh2Nh5bLzrkLfXfDFvW/am+MTn/iyiFNFz2VHV\njxE+EXuufjZ6Tzksfu+17635/IuZoKmaW73ztN3x5Rt6YrwytYT44Lk7FzNk3fY99ZihuObO\n5fHZa3tj92BT9eOPA3Fkr4u4160BJiJAgECdBQRYdQY3HQECBAgQIECAQO0E/td1F8V/Pfy3\nY7R6FlZHc32u5fQXn/iLGH5yME5//xtj6LXNsesPlscjH7k7ypfvieW/9vxHCWu34sWPnFwA\nPflKzmJqb5lc/IB1GiG5ZteFZ+yK0WpmVa4GcUkYZyNAgACBxhXwY75xe2tlBAgQIECAAIFC\nCjSXmusWXl133XXxjW98I171qlfF333sb+La134jbrnoX+Kiiy6Knz/08/jkJz+Zmx7kKbya\nidpa/St54dVMEbcJECDQmAICrMbsq1URIECAAAECBAjUWGD79u1xySWXRLlcjr/+67+OlpaW\nvTN+7GMfi3Xr1sVVV10VN954497H3SBAgAABAgQWJuAjhAtzsxcBAgQIECBAgEDBBVavXh33\n3nvvfhW6urriJz/5yX6f8yABAgQIECAwfwFnYM3fzB4ECBAgQIAAAQIECBAgQIAAAQJ1FBBg\n1RHbVAQIECBAgAABAgQIECBAgAABAvMXEGDN38weBAgQIECAAAECBAgQIECAAAECdRQQYNUR\n21QECBAgQIAAAQIECBAgQIAAAQLzFxBgzd/MHgQIECBAgAABAgQIECBAgAABAnUUEGDVEdtU\nBAgQIECAAAECBAgQIECAAAEC8xcQYM3fzB4ECBAgQIAAAQIECBAgQIAAAQJ1FBBg1RHbVAQI\nECBAgAABAgQIECBAgAABAvMXEGDN38weBAgQIECAAAECBAgQIECAAAECdRQQYNUR21QECBAg\nQIAAAQIECBAgQIAAAQLzFxBgzd/MHgQIECBAgAABAgQIECBAgAABAnUUEGDVEdtUBAgQIECA\nAAECBAgQIECAAAEC8xcQYM3fzB4ECBAgQIAAAQIECBAgQIAAAQJ1FBBg1RHbVAQIECBAgAAB\nAgQIECBAgAABAvMXEGDN38weBAgQIECAAAECBAgQIECAAAECdRQQYNUR21QECBAgQIAAAQIE\nCBAgQIAAAQLzFxBgzd/MHgQIECBAgAABAgQIECBAgAABAnUUEGDVEdtUBAgQIECAAAECBAgQ\nIECAAAEC8xcoz38XexAgQIAAAQIECBCojcCOsb741rZ/jtt33Rmnrzgl3rHmguht6anNZEZd\ntEBlIuK2hzrjrsfaY83y8Th742Cs6xlf9LhZH6Co6856X9RHgEBjCzgDq7H7a3UECBAgQIAA\ngVwJfPSRT8dwZSQuP+4T0dHUHpc+9le5qr9oxV53X1fc/XhbXHRWX5x81HBcef2qSMKdRt+K\nuu5G76v1ESCQbQEBVrb7ozoCBAgQIECAQGEEhirDcUf/3fGetb8Zy8rd8e5D3x4PDPxH7Brf\nXRiDvC30nsfb4w3Vs65Wdk7ECWtH44hVY/HAk215W8a86y3quucNZQcCBAikKCDAShHTUAQI\nECBAgAABAosTWNbcPXXmVTJKc6k5Wkrl2Dm2a3GD2rtmAuXmyehse/GUq47WiegbbK7ZfFkZ\nuKjrzoq/OggQKKaAAKuYfbdqAgQIECBAgEDmBDqa22PzslfHLbt+MlXb/QNbor8yEEe2r8tc\nrQp6XmDzhuGp618l94bHSvHgU22xYfVow/MUdd0N31gLJEAg0wIu4p7p9iiOAAECBAgQIFAs\ngQ8c/tvxhSe+Fl/b+vexfWxnfO7Yj0dTyd+5ZvUoOPWYobjmzuXx2Wt7Y/dgU5y3qRo49jb+\nRdyLuu6sHofqIkCgGAICrGL02SoJECBAgAABArkQOKHz2Lji+MtioDIYXc2duai5yEV2t0/G\nhWfsitFqZlWu5oxNBckai7ruIh/r1k6AwNILCLCWvgcqIECAAAECBAgQeImA8OolIBm/21rQ\ndxVFXXfGD0flESDQoAIF+TuSBu2eZREgQIAAAQIECBAgQIAAAQIECiAgwCpAky2RAAECBAgQ\nIECAAAECBAgQIJBnAQFWnrundgIECBAgQIAAAQIECBAgQIBAAQQEWAVosiUSIECAAAECBAgQ\nIECAAAECBPIsIMDKc/fUToAAAQIECBAgQIAAAQIECBAogIAAqwBNtkQCBAgQIECAAAECBAgQ\nIECAQJ4FBFh57p7aCRAgQIAAAQIECBAgQIAAAQIFEBBgFaDJlkiAAAECBAgQIECAAAECBAgQ\nyLOAACvP3VM7AQIECBAgQIAAAQIECBAgQKAAAgKsAjTZEgkQIECAAAECBAgQIECAAAECeRYQ\nYOW5e2onQIAAAQIECBAgQIAAAQIECBRAQIBVgCZbIgECBAgQIECAAAECBAgQIEAgzwICrDx3\nT+0ECBAgQIAAAQIECBAgQIAAgQIICLAK0GRLJECAAAECBAgQIECAAAECBAjkWUCAlefuqZ0A\nAQIECBAgQIAAAQIECBAgUAABAVYBmmyJBAgQIECAAAECBAgQIECAAIE8Cwiw8tw9tRMgQIAA\nAQIECBAgQIAAAQIECiAgwCpAky2RAAECBAgQIECAAAECBAgQIJBnAQFWnrundgLyT2oFAABA\nAElEQVQECBAgQIAAAQIECBAgQIBAAQQEWAVosiUSIECAAAECBAgQIECAAAECBPIsUM5z8Won\nQIAAAQIECDSqwI6xvvjWtn+O23fdGaevOCXeseaC6G3pycVyb+n7t/jO9u9GJSbi11f/apy5\n8rRc1D1tfsfDd8epnSfV1fypneW4eUtnPN1XjtNeMRSnHj0ULQX4k/pi1j06HnH1rSvj/ifb\nYkVnJd68uT82bxiZ87G2mLnnPIkXEiBAgEBqAs7ASo3SQAQIECBAgACB9AQ++sinY7gyEpcf\n94noaGqPSx/7q/QGr+FI/95/X3z6F1fE+9a+Oy5e/7txxRNXxYMDD9VwxvSGnjb/2imX19V8\ncKQUn//uqti4diTe/8adsWVrW9y0pSu9hWV0pMWu+0s/6IkHnmqNi3/lufilYwfjqht7Igm1\n5rItdu65zOE1BAgQIJCugAArXU+jESBAgAABAgQWLTBUGY47+u+O96z9zVhW7o53H/r2eGDg\nP2LX+O5Fj13rAW7q+1H8cs+ZsbHr2NjQvj7euvpN8a87bqj1tIsef6b5ipbldTV/dFtr9HRN\nxEnVs4e62yfjvE174o5H2he9pqwPsNh1P/Jsa5y9cTCO7B2P804cjO62ifjevd1zWvZi557T\nJF5EgAABAqkKCLBS5TQYAQIECBAgQCAdgWXN3VNnASWjNZeao6VUjp1ju9IZvIajtDa1xPLy\nsr0zJAHcM6Pb9t7P8o2lMi83T0Zn68Rems7WyegbbN57v1FvLHbdTaWY+ujgtE9ry2Rs2z23\nz10udu7pOX0nQIAAgfoJCLDqZ20mAgQIECBAgMCcBDqa22PzslfHLbt+MvX6+we2RH9lII5s\nXzen/ZfyRef1nB039t0WYxNjMTE5ET/YeWts6jphKUua09xLaX7coaPxzK5y9A89/0fzn/6i\nPTb0js2p7jy/aLHrTj5yeWv1umHJ1jfYFM/1N8em9cNzIlns3HOaxIsIECBAIFWB0mR1S3XE\nOg62ffv2GBvL1y/37u7uqFQqMTQ0VEcpUxVNoFQqxWGHHRYjIyOxY8eOoi3feuss0NPTE/39\n/TE+PscLj9S5PtM1hkBLS0usXr069uzZM3W8NcaqDryKLYMPxxee+Frsrn5scPvYzvj40X8Y\npyx/7YF3ysizX3ry69Xw7ccxWP0o5MbOY6u1/x/R0jS3M2OWcgnT5oOloXh68Nm6mv/0sfb4\nwQNdMV6JqJ5YFB88d2esrH6ssNG3xaz7mV1N8cXv98auang1VinFpnUj8aHzds6ZbDFzz3mS\nA7ywo6MjVq5cGX19fd4bHMDJU+kIrFmzJrZtq//ZsNPHeTqrMErRBQRYdT4CBFh1Bi/odAKs\ngjZ+iZYtwFoi+IJNW8QAa7rFA5XB6Gp+/iyT6cfy8L0yWYnR6llYyZlNeds6ejpjaOfgkpQ9\nPFaK9upH4Yq2LWbde6onXbVX89HyAjPSxcy9mD5Nv7EXYC1G0b5zFRBgzVXK67Is4COEWe6O\n2ggQIECAAIHCC+QxvEqally3K4/hVVJ7d3np/gXAIoZXifli1t1dzUgXGl4tdu5kfxsBAgQI\n1EdAgFUfZ7MQIECAAAECBAgQIECAAAECBAgsUECAtUA4uxEgQIAAAQIECBAgQIAAAQIECNRH\nQIBVH2ezECBAgAABAgQIECBAgAABAgQILFBAgLVAOLsRIECAAAECBAgQIECAAAECBAjUR0CA\nVR9nsxAgQIAAAQIECBAgQIAAAQIECCxQQIC1QDi7ESBAgAABAgQIECBAgAABAgQI1EdAgFUf\nZ7MQIECAAAECBAgQIECAAAECBAgsUECAtUA4uxEgQIAAAQIECBAgQIAAAQIECNRHQIBVH2ez\nECBAgAABAgQIECBAgAABAgQILFBAgLVAOLsRIECAAAECBAgQIECAAAECBAjUR0CAVR9nsxAg\nQIAAAQIECBAgQIAAAQIECCxQQIC1QDi7ESBAgAABAgQIECBAgAABAgQI1EdAgFUfZ7MQIECA\nAAECBAgQIECAAAECBAgsUECAtUA4uxEgQIAAAQIECBAgQIAAAQIECNRHQIBVH2ezECBAgAAB\nAgQIECBAgAABAgQILFBAgLVAOLsRIECAAAECBAgQIECAAAECBAjUR0CAVR9nsxAgQIAAAQIE\nCBAgQIAAAQIECCxQQIC1QDi7ESBAgAABAgQIECBAgAABAgQI1EdAgFUfZ7MQIECAAAECBAgQ\nIECAAAECBAgsUECAtUA4uxEgQIAAAQIECBAgQIAAAQIECNRHoFyfacxCgAABAgQIECAwH4Ed\nY33xrW3/HLfvujNOX3FKvGPNBdHb0jOfIRb82qWce8FF25EAAQIECBBoaAFnYDV0ey2OAAEC\nBAgQyKvARx/5dAxXRuLy4z4RHU3tceljf1W3pSzl3HVbpIkIECBAgACBXAkIsHLVLsUSIECA\nAAECRRAYqgzHHf13x3vW/mYsK3fHuw99ezww8B+xa3x3zZe/lHPXfHEmIECAAAECBHIrIMDK\nbesUToAAAQIECDSywLLm7qkzr5I1Npeao6VUjp1ju+qy5KWcuy4LNAkBAgQIECCQOwEBVu5a\npmACBAgQIECg0QU6mttj87JXxy27fjK11PsHtkR/ZSCObF9X86Uv5dw1X5wJCBAgQIAAgdwK\nuIh7bluncAIECBAgQKCRBT5w+G/HF574Wnxt69/H9rGd8bljPx5Npfr83eNSzt3IPbU2AgQI\nECBAYOECAqyF29mTAAECBAgQIFAzgRM6j40rjr8sBiqD0dXcWbN59jfwUs69v3o8RoAAAQIE\nCBCoz1/jcSZAgAABAgQIEFiQQL3Dq5lFLuXcM+twmwABAgQIECAgwHIMECBAgAABAgQIECBA\ngAABAgQIZFpAgJXp9iiOAAECBAgQIECAAAECBAgQIEBAgOUYIECAAAECBAgQIECAAAECBAgQ\nyLSAACvT7VEcAQIECBAgQIAAAQIECBAgQICAAMsxQIAAAQIECBAgQIAAAQIECBAgkGkBAVam\n26M4AgQIECBAgAABAgQIECBAgAABAZZjgAABAgQIECBAgAABAgQIECBAINMCAqxMt0dxBAgQ\nIECAAAECBAgQIECAAAECAizHAAECBAgQIECAAAECBAgQIECAQKYFBFiZbo/iCBAgQIAAAQIE\nCBAgQIAAAQIEBFiOAQIECBAgQIAAAQIECBAgQIAAgUwLCLAy3R7FESBAgAABAgQIECBAgAAB\nAgQICLAcAwQIECBAgAABAgQIECBAgAABApkWEGBluj2KI0CAAAECBAgQIECAAAECBAgQEGA5\nBggQIECAAAECBAgQIECAAAECBDItIMDKdHsUR4AAAQIECBAgQIAAAQIECBAgIMByDBAgQIAA\nAQIECBAgQIAAAQIECGRaQICV6fYojgABAgQIECBAgAABAgQIECBAQIDlGCBAgAABAgQIECBA\ngAABAgQIEMi0QDnT1SmOAAECBAgQIECAQA4ERscjrr+vO376WHtUJkqxaf1w/OfX7Inu9skc\nVF/MErdsbY3v3dsVz+4uxyHLK3H+iXti4+GjxcSwagIECORAQICVgyYpkQABAgQIECBQT4Ed\nY33xrW3/HLfvujNOX3FKvGPNBdHb0lPPEnI111g1vPrLa1fH1r5yTEyWpmrf9mBX3PloR/zp\nW7fHso6Jg67nqZ3luHlLZzxdHeO0VwzFqUcPRUsO/qReqS7ttoc6465qcLdm+XicvXEw1vVU\nQTK+3fZQR1x964p4Pl4sxXN7muNnT62Kd//S7jjzhMGMV688AgQIFFPARwiL2XerJkCAAAEC\nBAjMKvDRRz4dw5WRuPy4T0RHU3tc+thfzfpaT0TctKUrnpoRXiUmSZC1Z6QpvvPT7oMSDY6U\n4vPfXRUb147E+9+4M7ZsbZsa86A7ZuAF193XFXc/3hYXndUXJx81HFdev6p6BloGCjtACUOj\npfj725PwKgkbnw8ck+/J/X/88fJI+mEjQIAAgewJ5ODvdWZHa2lpidbW1tlfkMFnknonJiai\nqUl2mMH2NFxJzc3N0dXV1XDrsqBsCSTHWUdHx9TPtmxVpppGEkiOs2RLfvf7uVbbzg5VhuOO\n/rvjild/Kla0LI/3L//t+Prt/2+MtVZiZfV+Ebbkz2nzOc7ue6IzJl8482qmT/JRwvuf7KiO\nVZn58Mtu/3x7c/QuizjjVckfzcvxllMq8f/c0BVvO+1lL83cA/c92RlvO2U01q3pqH5F3Pwf\nE/HIcyvipKOyexbWw9vL1X7NQlnNrp7YtTw2H137+pOfZ8nW1tbmvcEs7fBwegKlUmleP9fS\nm9lIBNITkKKkZ2kkAgQIECBAgEBDCCwrL4uO5o6ptTSXmqOl1BI7xnY2xNqyuIhyNZ/tansx\nUems3t45kI+zgFpeWnvrZOzYk+3ak3Ot9p54tZ8Dovo+30aAAAECGRTI9RlYY2NjkXzlaUuS\n70qlEkNDQ3kqW605E0iOs+XLl08dawMDAzmrXrl5E0jOLE1+po2P1/5vq/Nmo970BKbPvEp+\n7/u5lp7rbCNt7j4xvvfUjXFOz+lx/8CW2D3eH2smVhXGvrOzc15rPXF9xMNPL9t7/atp16bS\nZJy4fuigYx2xIuKpHYfE09uHpq6XdWv1+llHrho96H7T8yzl99esn4zbftYchy8fiOGxUtz7\neFecdfyuau3Z/Z1w+PJSlEqd+2erZlvrlu+u1v9ioLj/Fy7+0eTs5eRrZGTEe4PFcxrhIALz\n/bl2kOHm/HRyjNsIpCWQ6wArLQTjECBAgAABAgQIvCjwgcN/O77wxNfia1v/PrZXz7z63LEf\nj6aSE/dfFNr31htOGIjbqxcFTy7A/vx1laon+FTDq2XtE/GWzXv2ffF+7iVXlnjnabvjyzf0\nxHj104bJCUAfPDcfZ7ydesxQXHPn8vjstb2xe7Apzts0EEf2Zje8Svg7qmeJves/7YpvVi/i\n/vyWiD/fud98/a5IzoCzESBAgED2BARY2euJiggQIECAAAECSypwQuexccXxl8VAZTC6mmc5\nU2VJK8zW5Mm/FvjHb94e19/XHXdW/zW+5NpXJ64fjv/8mj3R3T63MCS5AHrylZzF1N4yt32y\noJCs78IzdsVoNbMqV4O4vFzm9fTjhqK3uxLX3dsVz+wuxyHVf0Hx/BMHYuPho1lgVQMBAgQI\n7EdAgLUfFA8RIECAAAECBAhUr8skvJrzYdBa/VP1BSftmfqa8077eWGewquZ5Sfrz9t2wtrR\nSL5sBAgQIJAPAeeC56NPqiRAgAABAgQIECBAgAABAgQIFFZAgFXY1ls4AQIECBAgQIAAAQIE\nCBAgQCAfAgKsfPRJlQQIECBAgAABAgQIECBAgACBwgoIsArbegsnQIAAAQIECBAgQIAAAQIE\nCORDQICVjz6pkgABAgQIECBAgAABAgQIECBQWAEBVmFbb+EECBAgQIAAAQIECBAgQIAAgXwI\nCLDy0SdVEiBAgAABAgQIECBAgAABAgQKKyDAKmzrLZwAAQIECBAgQIAAAQIECBAgkA8BAVY+\n+qRKAgQIECBAgAABAgQIECBAgEBhBQRYhW29hRMgQIAAAQIECBAgQIAAAQIE8iEgwMpHn1RJ\ngAABAgQIECBAgAABAgQIECisgACrsK23cAIECBAgQIAAAQIECBAgQIBAPgQEWPnokyoJECBA\ngAABAgQIECBAgAABAoUVEGAVtvUWToAAAQIECBAgQIAAAQIECBDIh4AAKx99UiUBAgQIECBA\ngAABAgQIECBAoLACAqzCtt7CCRAgQIAAAQIECBAgQIAAAQL5EBBg5aNPqiRAgAABAgQIECBA\ngAABAgQIFFZAgFXY1ls4AQIECBAgQIAAAQIECBAgQCAfAgKsfPRJlQQIECBAgAABAgQIECBA\ngACBwgqUC7tyCydAgAABAgQIECBAYEkFtmxtje/e0x3P7m6O1csqcf6JA7Fp/ciS1mRyAgQI\nEMimgAArm31RFQECBAgQINAAArf0/Vt8Z/t3oxIT8eurfzXOXHla3Va1lHPXbZEmmhIYHY+4\n+taVcf+TbbGisxJv3twfmzfUJwSqTETc9lBn3PVYe6xZPh5nbxyMdT3Vguaw3f5QR3zj1hUv\nvLIUOwaa46GnW+O/nLY7znnV4BxG8BICBAgQKJKAjxAWqdvWSoAAAQIECNRN4N/774tP/+KK\neN/ad8fF6383rnjiqnhw4KG6zL+Uc9dlgSbZR+BLP+iJB55qjYt/5bn4pWMH46obeyIJteqx\nXXdfV9z9eFtcdFZfnHzUcFx5/apIQq2DbcNjpfi725PwqvTCV7JHKSarX//jJ8tjz3DyuI0A\nAQIECLwoIMB60cItAgQIECBAgEBqAjf1/Sh+uefM2Nh1bGxoXx9vXf2m+NcdN6Q2/oEGWsq5\nD1SX52oj8MizrVNnPh3ZOx7nnTgY3W0T8b17u2sz2UtGvefx9nhD9ayrlZ0TccLa0Thi1Vg8\nUD0T7GDbY9taojK5/1c1Vd+hPPTMwcfY/94eJUCAAIFGFRBgNWpnrYsAAQIECBBYUoHWppZY\nXl62t4Zl5e54ZnTb3vu1vLGUc9dyXcbev0BT9WSl5KOD01try2Rs212fK4WUmyejsxqYTW8d\nrRPRN9g8fXfB35NzsWwECBAgQGCmgABrpobbBAgQIECAAIGUBM7rOTtu7LstxibGYmJyIn6w\n89bY1HVCSqMfeJilnPvAlXm2FgIb147ErVs6p4buG2yK5/qbqxdCH67FVC8bc/OG4anrXyVP\nJB8LfPCpttiwevRlr3vpA0etGYvyLO9EJqvZ1bGHHnyMl47pPgECBAg0tkB9/mqmsQ2tjgAB\nAgQIECDwMoHjOo+OM1ecFu/92e/HYGU4NnYeG+865O0ve10tHljKuWuxHmMeWOBtr9sdX/x+\nb/zBNw+NsUopTqz+K36nvaI+AdapxwzFNXcuj89e2xu7q+HZeZsGIvko48G29upZYr91+q74\nmx++eBH3mLoCVsRvvn53dLc7A+tghp4nQIBA0QRKk9Utr4vevn17jI2N5ar87u7uqFQqMTQ0\nlKu6FZsvgVKpFIcddliMjIzEjh078lW8anMn0NPTE/39/TE+fvA3LLlbnIIzI9DS0hKrV6+O\nPXv2TB1vmSlsDoVUJisxWj0Lq6O5fQ6vTvclSzl3uiup72hr1qyJbdvq83HPNFe2p5pZtVf/\nerq8BH9FnVw0PjmjKrl+1Xy2h59pmbpe19a+chy6onoNr2oAtvHwYpx91dHREStXroy+vj7v\nDeZz0HjtggSW6ufa9HG+oKLtROAlAkvw6+0lFbhLgAABAgQIEGhggeZSczW8Wvw1gRZCtJRz\nL6Re+yxOoLv+GeneglsX+K7i2EPHqh8X3Ll3HDcIECBAgMBsAvP8O5LZhvE4AQIECBAgQIAA\nAQIECBAgQIAAgdoICLBq42pUAgQIECBAgAABAgQIECBAgACBlAQEWClBGoYAAQIECBAgQIAA\nAQIECBAgQKA2AgKs2rgalQABAgQIECBAgAABAgQIECBAICUBAVZKkIYhQIAAAQIECBAgQIAA\nAQIECBCojYAAqzau/z979wEfVZX2cfw/aaST0DsqVbGhiIUiKBZcewF7F8u7Yl/rrgVde1nr\nWljFtth3LSg2QAERUVFQEBBFuoGQkJBe3vscd2KAYGaSTGYm+R0+ITN37j3leweSPDnnOdSK\nAAIIIIAAAggggAACCCCAAAIIINBAAgSwGgiSahBAAAEEEEAAAQQQQAABBBBAAAEEQiNAACs0\nrtSKAAIIIIAAAggggAACCCCAAAIIINBAAgSwGgiSahBAAAEEEEAAAQQQQAABBBBAAAEEQiNA\nACs0rtSKAAIIIIAAAggggAACCCCAAAIIINBAAgSwGgiSahBAAAEEEEAAAQQQQAABBBBAAAEE\nQiNAACs0rtSKAAIIIIAAAggggAACCCCAAAIIINBAAgSwGgiSahBAAAEEEEAAAQQQQAABBBBA\nAAEEQiNAACs0rtSKAAIIIIAAAggggAACCCCAAAIIINBAAgSwGgiSahBAAAEEEEAAAQQQQAAB\nBBBAAAEEQiNAACs0rtSKAAIIIIAAAggggAACCCCAAAIIINBAAgSwGgiSahBAAAEEEEAAAQQQ\nQAABBBBAAAEEQiNAACs0rtSKAAIIIIAAAggggAACCCCAAAIIINBAAgSwGgiSahBAAAEEEEAA\nAQTCI3Drrbfqwgsv1CeffLJZB/Ly8jR27Fj9+c9/1vr16zd7jScIIIAAAgggEF0CcdHVXXqL\nAAIIIIAAAggggMDmAsOHD9cJJ5ygz2Z9rlHXf6PVBW1VWSnNe/1KLf7iVV155ZVq3br15hfx\nDAEEEEAAAQSiSoAAVlTdLjqLAAIIIIAAAs1FILs0R69mva3Pcr/Ufi0H6Ni2h6l1fGZUDH96\nzmy9uW6yylWhY9qM1OCMgSHt96BBg3TueRfoqSf/qbeevU79j31KK775txe8elFttt9fx552\npdd+Ra19yCuK0acLk7UkK1a92qVqUO8CpSfVfp1VXO6dNnNxsr7+OVFt08s0tG+BOmeW1dpm\ncz9h7rIWevvrNG0oiNVu3Yp0/F65Sm7R9FVWbYjTzDlJ+nWjtNcOCdq9S6Hi+cms6d94RogA\nAvUSYAlhvfi4GAEEEEAAAQQQCI3A9UtvV1F5sR7sNU5JMYm65ef7QtNQA9c6N2++bl/2kM7u\neJLGdjlHD60YrwWbFjdwK1tX12G/O5TeYVctm/MvLZ/7gub+50IlJLfRnqNf0Phpgc2+enpa\nhkrKfbrm2HIlxFXqhRktt25oG0c+mJ+ib35podOH5GiP7Yr06IetXFBrG6dz2BNYnxejJ6dk\nql+XIv3lT1latCZBE6ZHR5C2PjewoNinf0xupZ06l+mqY6QFK+M07YeU+lTJtQgggECzECCA\n1SxuM4NEAAEEEEAAgWgSKCwv0py8b3Rmx1FKi0vVSe2P1vebFim3zJuuEeFlWs4sHZg5WH1T\neqp7Yhcd2eZgvZc9JeS9/nF9qgaMflExcS305cunqqw4V3sc/4yS0jtrfX5sre2XeJOlLIBy\n8M75SkmUhu+4ScvWx2uTF2wIpHz7S6L292ZdZSRXqE/HEnVtVarvVzaDqUSB4GzjnM9/TFa8\nd2uOGZCv9i0rdPQeG/XDqoRtnN10Dv+UlaDMlArtuUOp0pOlkbsXa85S701HQQABBBD4QwEC\nWH/Iw4sIIIAAAggggEB4BNJiU93MK2s91hereF+cNpTmhqczQbSaEBOv9Li0qissALe2JKvq\neageWJgpvX0/dd75BNdEatu+at97pHscWAhKSk6ocDOv7KIY77vkuJhK5XvLCgMpcbGV3tK3\n35cbJnl15XjL4ijbFkiIq5C5+YsF/0q9GXBNvbj3ivf+8JfkhEreK34MPiOAAAJ/IBDYV+Q/\nqICXEEAAAQQQQAABBBpWICk2Uf3TdtH03C9cxd9t+kF55ZvULbFzwzYUgtpGZA7V1JyZKq0o\nVUVlhT7eMEP9UvqEoKXNq+zrzXrasOILrfj23/LFJig/a6GWTL/XO6nS5aTa/OytnyV4+Yd6\nti/Rd/+bNbVsXbwKSmK8a8u3PrmGI/27F7n8V/ZSUalPC1a1UPc2JTWcySG/wDBvxlqhZ7V6\nw2+Bvvfnpyo18ffAjv+8pva5l/c+W5sbp40FvwXrvlgar+6tS5vaMBkPAhEhsG7dOn300Udu\nl9qcnJyI6JN1oqioSMuWLVNBQUHE9CkaOuKr9Eo0dLSmPtqbsbQ0uv6zT01NVXl5uQoLC2sa\nEscQaBABn8+nDh06qLi4WNnZ2Q1SJ5UgsC2BzMxM2Vb1ZWUkK96WEcfrLxAfH682bdooPz/f\nvd/qX2Pk1/BDwRI9vOIZbfSWDa4r3aCbt79SA9J3i/yOez3858pnveDb5yrwlkL2Te7p9f0q\nxceENkP1htwC7T1kpDZl/6TB503zlhGepsKNyzX8otm6+4JO6phZeyBq+fo4veUlFC+paKH1\nG8t12qBc9fYCY4GU/CKf/vNlulblWGAiRsN2LNCInTcFcmmzPue12Wma7iW/92Kdrlw2cr0X\n+Gv6X0++8pL9T12Y5oVX41RRXqbzhq1XhreskIJAqATatm2rrKzQz4bdsv9JSUnKyMjY8nDI\nn//4449ud9qvv/56s7b69++vl156Sb169drseGM/ee+99zRy5Ei98sorOv744xu7+ahtjwBW\nI986AliNDN5MmyOA1UxvfJiGTQArTPDNrNnmGMDy3+JN5QVKifUS5URZKa8s9wJBpbLZZI1R\nrr76aj333HMacvT16rDvLVq7ZKo+efJA9ejZRx+8/64SEwPvR2rLtsrPrdsPepZLK85b42BL\nECmBC+R4QT9bQticiv1g3yIpQ8WFOfxyuznd+DCNtTkFsGxm0+677y77N3b99ddr1113lU1+\nmTx5sl599VU3oeTTTz/VzjvvHKa7Ic2ZM0fXXXed/vrXv2rIkCFh60e0NVynX4W98847euih\nh7Rw4UKtX7++xjHbb+MpCCCAAAIIIIAAAvUTiMbglY3Y8nYlxTZODqgPPvjABa922mknPf+P\nMYqPX+v1YEddU3y6nn32Wd12220aN25cwDciycsjnh/w2ZufaEsRKcELNLfglV8oycvzX8zC\nDD8HnxFoEIHXX39dtlzw8ccf16hRo6rqPOaYY7TffvvpjDPOcF8b7rrrrqrXGvvBgAED9P77\n7zd2s1HfXtBfYmfOnCm78bZUxKbf7bPPPlGPwAAQQAABBBBAAAEEolPAfqt++eWXKy4uTg88\n8IAXvIqvGoj9Zttyn4wfP14HHnighg0bVvUaDxBAAAEEmqbA4sWL3cB22WWXrQZ48sknu68L\nLVu2rHrtiSeekD3fe++99a9//Ut2/dChQ3XkkUeqc+fNc09aHOTpp5/W7NmzXf4qi4mcd955\n7vqqCv/3YN68eW7W11dffaV9991XRx11lLp16+ZeXbJkifvFy+jRo2W/fPEXu+bll1/WggUL\n3LmHH364DjjgAP/L7nNFRYXeeOMN2TJESxfTu3dvHXbYYc1iJlfQSwivueYa3X333fruu+/U\nt2/fzSAb+wk5sBpbnPaiRYAlhNFyp5pGP1lC2DTuY6SPojkvIYz0e9MU+xeupTZN0ZIxbVvA\nnxvIZoqQH3fbTrzSMALh+n/N/z5vmFEEVovNwDruuONcQMdiFwMHDpT9fLStYq+XlJTo119/\nVY8ePdSnTx9NmjTJ5RO2pX7bb7+9u9RyiFmgyI5Z0MgCT1OnTnXBKzu/eiDqv//9r+tD9+7d\nteeee8qWLK5Zs6Yq51VNObBsxtjYsWNdW4cccohWrlwpC35deeWVLgbj7/8ll1ziVsTZEkjr\nq00yWr16te69915ddtll/tOa5OegV+f/9NNPbtpduINXTfJuMCgEEEAAAQQQQAABBBBAAAEE\nEKizgK0Yu/baa13QyFaMtW/fXieddJJbUrhq1aoa6/3mm290yimnuGueeuopWfL3lJQUHXvs\nsfLve2eTeSx4ZQGyH374wc2Csuss+HXBBRdU1WuTfaw9mz1lM6lsRtWKFSvcDK+//OUvLjBW\ndfL/HtiMLAteDRo0yAWu3nzzTX355Zcuh9c999zjZo3ZqZaq6ZFHHtGFF16ob7/91gXEli9f\n7vJ53XnnnS6/15Z1N6XnQQewLBmaBbEoCCCAAAIIIIAAAggggAACCCCAQCQJ2Gyrv//975o2\nbZrOPfdcl8x94sSJLsjUtWtXWRCpvHzznWltRcFNN91UNQwLetlsprlz58p2NLSZkrZ00JYC\nWoDMX2xJoC1LtBlWFlCyYsnibValzf5KSPCSKnol1ssJ+c9//tPNptq4caM7Vv2vRx991AXC\nLEhmuy77yxVXXOGWxlvQyl9ivF1CLEhms66s2HMb688//+za8Z/XFD8HnQPLIotPPvmkLr74\nYlkksEULL/MgBQEEEEAAAQQQQAABBBBAAAEEEIgQActjZR9WbIaTbfjxj3/8wwWWfvnlF1lQ\ny1/69evnZlz5n9tn273Qis3G2m677dxMLAs+VU8Mb6/b7CorixYtctdY0Mtmb/Xq1csd9/9l\nk4Hso6ZiM7os8Gb5uGwGWPWSnJzs6rZjaWlpLrBmCegtP9cee+yhkSNH6uijj3ZLFatf1xQf\n1xrAsqjeoYceutnYCwoK9PDDD8uihLam0xC3LDaVjoIAAggggAACCCCAAAIIIIAAAgg0hkBR\nUZE++eQTdezYUdWTuPfs2VP2cdZZZ+nggw92ywAtGJWenu66lZGRsVX3LHBkJTc3V5Z/24rl\n9LIZT9WLzcKyD39cxHJXpaamVj+l1sdWv00Osg1JtiwWj6leny0VHDZsmF544QW3k+Gtt94q\n+zj99NPdpiU11bFlndH6fGudLUZiUcAtZ1n5b9AWp/IUAQQQQAABBBBAAAEEEEAAAQQQCIuA\nLdWzGVK2O+CUKVO26kNiYqILYNmSP1ty559l5Z9FVf2CZcuWuac2y8lmVFmx5O0WOKpebDmi\ntesvlvTdkruXlpZutjOuJXG35O62K+6WZYcddnA7G95yyy2ujeqv286H1YNS1p4F4WzmleXn\nsrxcluj92WefdUGsmuqvXl80P948dFjDSDp06OAgbZvIYD5qqIpDCCCAAAIIIIAAAggggAAC\nCCCAQEgEbNdiC+zYLKznn39+qzYsCfobb7yx1Qwty19lCderFwsI2Ywr2+3PAkwWG7Frt8xh\nZcnfbQaXP+BlebIqKipcgvXq9dnyRUvJVFOwzJK3W7E2qxfrl82+sp0HrfiXJ95///3uuU04\n2muvvfTnP//ZPbcgWVMutc7A2nLwBjp//nzZmsuayn/+8x+Hu3DhQnezazqHYwgggAACCCCA\nAAIIIIAAAggggEBDC1gy9i+++EKnnXaaC2Ltt99+suTtlqPqpZdeku3aZ3m9LfjjLxZwOuqo\no/Tggw+64Nbjjz+u9957z8228idit6TsVqflm7rxxhtlSwwtj5bV+de//tWlV7L6zjjjDFmA\nyYJKtkOhzeCaNGmSS8E0ePBgDRkyxOXj8rdtn88//3z3+gMPPKC2bdtqxIgRsrRMtjTQAlg3\n3HCDO91yaNkMqzvuuMPN+jrggAP0/fffu6T1dp4F75pyCSiAlZWV5eANwhKY2UwsW9e5ZbGb\nYzfGEqLZ2lOLVlIQQAABBBBAAAEEEEAAAQQQQACBxhDo06ePi1n83//9n6ZPn+52BbR2LRBl\nebEseLXlMruddtpJBx10kI444gjZkj2bcWXBrJNOOqmqy6eeeqqrw3YntBxUVmxp39lnn10V\nYPIf++ijj1xQ6pxzznGzsez4scceq8cee2yz5YZ23IrNHLOdBK3PthzQ+mDFEsH/+9//dkEt\nd8D7y4Jjlu/q8ssvd4csELfbbrtp1qxZatWqlf+0JvnZ562ZrKxtZDbb6uqrr67ttKrXLSpo\nga5QF0t0ZutKo6lYVNTWrNq2mhQEQiVg/4nZFNfi4mJlZ2eHqhnqRcAJ2LbDNh3b/4UWFgRC\nIWDf2Nm20vn5+e79Foo2qBMBv4D99tt+gUtBIJQC9st+W3aUk5PDzwahhKZuJxCu/9f87/Nw\n3gb7N2bL9iwYtGV+b+vXwIED3c9NNuPJNqyzZXgWwPqjYuesX79e23m7E/rzY9V0vv3cv3Tp\nUnXp0kUtW7as6ZStjtnEINs10c7v1KnTZjPFqp9s8RDbdM/64E8gX/31pvg4oBlYFmG0H0ws\nWGSJ0Gxt55lnnrmVh0Uf7QeZE044YavXOIAAAggggAACCCCAAAIIIIAAAgg0poAFimvaZbCm\nPtiywNqCV3adTRawj9qKBfD69etX22mbvW4zxWxGWG3FfrFnH82pBBTAst96Xnfddc6lb9++\nbo2lrfmkIIAAAggggAACCCCAAAIIIIAAAgggEGqBgAJY1TsxevTo6k95jAACCCCAAAIIIIAA\nAggggAACCESlwKGHHkoqjCi5c0EHsMaNG6fbbrttm8Oz3Du2BtSmsll2/TvvvLPJJxLbJgYv\nIIAAAggggAACCCCAAAIIIIBAxArccsstEds3Ora5QMzmT2t/NmjQIJfh3pJD77jjjjrllFN0\n7rnnyrZvtOTkFsAaOnSoWw86fvx4d9ySi1EQQAABBBBAAAEEEEAAAQQQQAABBBCoi0DQASzb\nlnHevHl6/PHH3U6DFqR6+OGHNWnSJHfcdtk75JBDNHXqVH3yyScu4/6ECRPq0jeuQQABBBBA\nAAEEEEAAAQQQQAABBBBAQEEHsF544QXtscceGjNmzFZ8luDddiy0gJaVwYMHa/jw4frss8+2\nOpcDCCCAAAIIIIAAAggggAACCCCAAAIIBCIQdABrzZo1f7hVo21PuXz58qq2e/XqpRUrVlQ9\n5wECCCCAAAIIIIAAAggggAACCCCAAALBCAQdwDrwwAP10UcfadGiRVu1U1paqmeeecblyPK/\nOG3aNA0bNsz/lM8IIIAAAggggAACCCCAAAIIIIAAAggEJRD0LoR/+tOfdOONN2qfffbRxRdf\nrN13310JCQku15XlxVq4cKHeeecdVVRUaOTIkZozZ47uvvvuoDrFyQgggAACCCCAQFMQmJ4z\nW2+um6xyVeiYNiM1OGNgow0rnG3XZ5B5RTH6dGGyFqxqoZ06F2tQ7wKlJ1XUp0qurUVg1YY4\nffJDstbkxGlgj0LttX2h4oP+KaGWRngZAQQQQACBegoE/aWpbdu2Lih14oknasvtJrfbbjtN\nnDjRJXH/+eefNWPGDF1xxRVuV8J69pPLEUAAAQQQQACBqBKYmzdfty97SPf2vFFJsYn6y5Jx\nah2fqR1TeoV8HOFsu76De3pahrq1KdWFB2brsyXJemFGS104YkN9q+X6bQgUFPv0j8mtdNK+\nuTp89zy9MrulCkpiNKLfpm1cwWEEEEAgcgVycnIavXOWRonSOAJBB7CsWxbEsmWE69atczsR\n/vrrr+rZs6f69+/vZmPZOV27dlVeXp58Pp89pSCAAAIIIIAAAs1KYFrOLB2YOVh9U3q6cR/Z\n5mC9lz2lUQJY4Wy7Pje5pExatCZB5w7boOQWlRq+4yZ9MD9Fm7wgS4r3nNLwAj9lJSgzpUK7\ndy92lY/ol68XZrYkgNXw1NSIAAIIIFBPgToFsPxttmnTRgcddJD/6WafY2NjN3vOEwQQQAAB\nBBBAoDkJJMTEK96XXDXktLhUzdu0sOp5KB+Es+36jis5oUIJcb8Fq2K8bK1xMZXK95YVprQo\nr2/VXF+DQFxspczcX5ITKpVTwPfxfg8+I4AAAghEjkDQSdyt66+99pr2228/de7cWa1atVJm\nZuZWH5EzRHqCAAIIIIAAAgg0vsCIzKGamjNTpRWlqqis0McbZqhfSp9G6Ug4267PABO8X632\nbF+i71a2cNUsWxfvlrO1TSd4VR/XP7q2l+e9NjdOeYW//Vjw1bJEdW9d+keX8BoCCCCAAAJh\nEQh6BtbMmTM1evRoJSUlud0G27VrxzLBsNw6GkU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he+unqKCiUEMz9tHpHU5QelxaUPXU52TbgbDM+0io469q27Ztq6ysrPp0gWuDFCgq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\nD0sNuO0l2T4NGP2ipj4yQF++fKrr3D6nv60WaZ31w5pKzzyx4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Rnz/84zGnNDveNe/8+PL134zR3krMLc3ZafmpXLBmaG2s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\nrkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 600,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat$KNN_correct <- dat$Species == dat$Species_predK1\n",
    "\n",
    "# Base layer to show training points\n",
    "ggplot(dat,aes(x=Petal.Length,y=Sepal.Length,col=Species)) + \n",
    "    geom_point(size=2,shape=\"o\") + \n",
    "    # Next layer shows test points' KNN classifications\n",
    "    geom_point(data=dat[test.inds,],\n",
    "               aes(x=Petal.Length,y=Sepal.Length,col=Species_predK1)) + \n",
    "    # draw \"x\" over wrong ones. \n",
    "    geom_point(data=dat[which(!dat$KNN_correct),],\n",
    "               aes(x=Petal.Length,y=Sepal.Length),shape=\"x\",col=\"black\",size=4) + \n",
    "    ggtitle(\"k=1\")\n",
    "\n",
    "print(paste(\"Accuracy:\",sum(dat$KNN_correct[test.inds])/length(test.inds)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "4pI_265guNX8"
   },
   "source": [
    "Now we see only three misclassified points, again at the border between Versicolor and Virginica. In contexts where two clusters overlap a bit like this, `k=1` allows for points well within the Virginica cluster to be classified as Versicolor because of one stray Virginica point that just happened to be the closest item. In other words, typically `k=1` allows for too much *variance* and not enough *bias*, as discussed in lecture. **Although sometimes `k=1` can yield better predictions for very tidy clusters, larger `k` values are more robust to noisiness in your data.**\n",
    "\n",
    "However, `k` can also be *too large*. Let's look at our predictions for `k=100`. Remember that this means each point is classified given the most common species of the 100 nearest points, and there are only 150 observations in this entire dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 651
    },
    "executionInfo": {
     "elapsed": 1226,
     "status": "ok",
     "timestamp": 1611800245105,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "DKi9IJHStvgM",
    "outputId": "b42fcd62-b2ee-465a-abf8-6008223e5c2c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Accuracy: 0.3\"\n",
      "[1] 38\n",
      "[1] 41\n",
      "[1] 41\n"
     ]
    },
    {
     "data": {
      "image/png": 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xBgpU5qQAIECBAgQIAAAQIECBAgQIAAgTQFBFhpahqLAAECBAgQIECAAAECBAgQ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\nqW2+rz3u+FlrnHfqlpjXOv6s031kW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BLMBkQSXbodBmcE2YMMGlYOrbt68OP/xw\nl4/L17Z9vvzyy93rjz/+uJo2baoBAwbI0jLZ0kALYN1+++3udMuhZTOs7r//fjfr66ijjtKP\nP/7oktbbeRa8q8ulSgGs9PR0B28QlsDMZmLZus7ti90cuzGWEM3Wnlq0koIAAggggAACCCCA\nAAIIIIAAAgiEQqBLly4uZvF///d/mjZtmtsV0Nq1QJTlxbLg1fbL7Lp166ZjjjlGJ510kmzJ\nns24smDW2WefXdbl8847z9VhuxNaDiortrTv4osvLgsw+Y598cUXLih1ySWXuNlYdvz000/X\ns88+u81yQztuxWaO2U6C1mdbDmh9sGKJ4P/zn/+4oJY74P3PgmOW72r48OHukAXi9t9/f82c\nOVONGjXynVYnP0d4ayZLKxuZzba6+eabKzut7HWLClqgK9jFEp3ZutJwKhYVtTWrtq0mBYFg\nCdgXMZviunXrVm3cuDFYzVAvAk7Ath226di+b7SwIBAMAfvBzraVzsnJce+3YLRBnQj4BOyv\n3/YHXAoCwRSwP/bbsqPMzEx+NwgmNHU7gZr6uuZ7n9fkbbB/Y7Zsz4JB2+f3tn717t3b/d5k\nM55swzpbhmcBrF0VO2fDhg1q7+1O6MuPVdH59nv/ihUr1Lp1azVs2LCiU3Y4ZhODbNdEO79l\ny5bbzBQrf7LFQ2zTPeuDL4F8+dfr4uMqzcCyCKP9YmLBIkuEZms7L7zwwh08LPpov8iceeaZ\nO7zGAQQQQAABBBBAAAEEEEAAAQQQQCCUAhYormiXwYr6YMsCKwte2XU2WcA+KisWwOvevXtl\np23zus0UsxlhlRX7w5591KdSpQCW/dXz1ltvdS5du3Z1ayxtzScFAQQQQAABBBBAAAEEEEAA\nAQQQQACBYAtUKYBVvhODBw8u/5THCCCAAAIIIIAAAggggAACCCCAQFgKHH/88aTCCJM753cA\na8SIEbr33nt3OjzLvWNrQG0qm2XXf+CBB+p8IrGdYvACAggggAACCCCAAAIIIIAAAgjUWoF7\n7rmn1vaNjm0rELnt08qf9enTx2W4t+TQe++9t84991xdeumlsu0bLTm5BbD69evn1oOOHj3a\nHbfkYhQEEEAAAQQQQAABBBBAAAEEEEAAAQR2R8DvAJZty7hgwQI999xzbqdBC1I9/fTTmjBh\ngjtuu+wdd9xxmjx5sqZOneoy7r/yyiu70zeuQQABBBBAAAEEEEAAAQQQQAABBBBAQH4HsMaO\nHauePXtq6NChO/BZgnfbsdACWlb69u2r/v376+uvv97hXA4ggAACCCCAAAIIIIAAAggggAAC\nCCBQFQG/A1jr1q3b5VaNtj3lb7/9VtZ2p06dtGrVqrLnPEAAAQQQQAABBBBAAAEEEEAAAQQQ\nQMAfAb8DWEcffbS++OILLV26dId2CgsL9fLLL7scWb4Xp0yZoiOPPNL3lM8IIIAAAggggAAC\nCCCAAAIIIIAAAgj4JeD3LoR/+ctfdOedd+qQQw7RNddcowMOOECxsbEu15XlxVq8eLE+/vhj\nlZSUaODAgZozZ44eeughvzrFyQgggAACCCCAQF0QmJY5Sx9kTFSxSnRak4Hqm9o7ZMOqybar\nM8js/Eh9tThBi9Y0ULdWW9Wnc65S4kuqUyXXViKwZlO0pi5J0LrMaPXukKeD9sxTjN+/JVTS\nCC8jgAACCCBQTQG/vzU1bdrUBaXOOussbb/dZPv27TVu3DiXxP2XX37R9OnTdcMNN7hdCavZ\nTy5HAAEEEEAAAQTCSmBu9kLdt/IpPdLxTsVHxelvy0eocUya9k7sFPRx1GTb1R3cS1NS1bZJ\noa48eqO+Xp6gsdMb6soBm6pbLdfvRCB3a4SemNhIZx+apRMPyNZbsxoqtyBSA7pv2ckVHEYA\nAQRqr0BmZmbIO2dplCihEfA7gGXdsiCWLSPMyMhwOxH+/vvv6tixo3r06OFmY9k5bdq0UXZ2\ntiIiIuwpBQEEEEAAAQQQqFcCUzJn6ui0vuqa2NGN++Qmx+qTjZNCEsCqybarc5MLiqSl62J1\n6ZGblNCgVP333qLPFiZqixdkSfSeUwIv8HN6rNISS3RAu62u8gHdczR2RkMCWIGnpkYEEEAA\ngWoK7FYAy9dmkyZNdMwxx/iebvM5Kipqm+c8QQABBBBAAAEE6pNAbGSMYiISyoacHJ2kBVsW\nlz0P5oOabLu640qILVFs9B/BqkgvW2t0ZKlyvGWFiQ2Kq1s111cgEB1VKjP3lYTYUmXm8nO8\nz4PPCCCAAAK1R8DvJO7W9bfffluHHXaYWrVqpUaNGiktLW2Hj9ozRHqCAAIIIIAAAgiEXmBA\nWj9NzpyhwpJClZSW6MtN09U9sUtIOlKTbVdngLHen1Y7NivQD6sbuGpWZsS45WxNUwheVcd1\nV9d28rzXZ0UrO++PXwu+Wxmndo0Ld3UJryGAAAIIIFAjAn7PwJoxY4YGDx6s+Ph4t9vgHnvs\nwTLBGrl1NIoAAggggAACtVmgU8Ke6tuwty5afJ1yi/PVNaGjztrj1JB0uSbbru4AB+6fow+/\nT9anC5K02QuqXHHUJkWSkaK6rDu93ma5/bX3Zj03KU1FXpzQqC/3zCkIIIAAAgjUNgG/A1hv\nvfWW4uLi9N1336lTp+AnIa1tYPQHAQQQQAABBBCoqsAVrYbospbnqsCbhWWJ3ENZarLt6oyz\nTeMiXeUlbc8vjFBcDHmvqmNZ1Wt7ts+XfWBeVTHOQwABBBCoCQG/A1hr165Vr169CF7VxN2i\nTQQQQAABBBAIO4GoiCgveFUzOYVqsu3q3iiCV9UV9P96zP034woEEEAAgdAJ+J0Dy4JXNvsq\nNzc3dL2kJQQQQAABBBBAAAEEEEAAAQQQQACBeivgdwDrwgsvVMuWLXXXXXepoKCg3sIxcAQQ\nQAABBBBAAAEEEEAAAQQQQACB0Aj4vYRw0qRJatq0qR566CE9+eSTat26tRITE3fo7bx583Y4\nxgEEEEAAAQQQQAABBBBAAAEEEEAAAf8ENm/erJSUFP8uqmNn+x3A2rRpk7Zu3aqDDjqojlEw\nHAQQQAABBBBAAAEEEEAAAQQQqDcCXmqkiLnfKSIzU6XNmql0/wOk6JhaN/wJEyZo5MiRmjFj\nRq3rWyg75HcAa+jQobIPCgIIIIAAAggggAACCCCAAAIIIBCWAj8tV9Rzz0jFxVJpqSIiIqQP\n31fxNddLjRvXqiEtXLhQW7ZsqVV9qonO+J0Dq3wn58+fr/Hjx2vixInu8MqVK8u/zGMEEEAA\nAQQQQAABBBBAAAEEEECgdglszVfUC/+St7xMEUVFivCCWPZZWVmK+vcLQenrK6+8olNPPVUn\nnHCC/v73v2vjxo3btPPqq69q0KBBOvnkk/XYY4+pyPrjlSlTpujtt9/WqlWrdNlll8lWxVmx\n2VgXXHCBjjnmGF177bX67bff3HH7X6Y3o+y2227Tscceq8GDB+vFF1/0YnSlZa+vWLFC1113\nnY4//nidfvrpLkVUOOQ4360A1o8//qh+/fpp//3315lnnqmXXnrJQdjzf/zjH26JYZkMDxBA\nAAEEEEAAAQQQQAABBBBAAIFaIhCxaJFUWChvztU2JaKkRFrlBYLSf9/meHWfWHDq+uuv1+GH\nH+4CSl9++aUGDBhQVq0FoG644QZ16tRJhx12mB588EGdccYZ7vU99tjD5R5PSEhQ7969FRsb\nqw8//NDVleUF3P76179q+vTp2nfffWWBKSvnnXeeLH/5Oeec49I/3XTTTbr//vvdaz///LP2\n228/F0A7//zzXZsjRozQ7bff7l6vzf/zewmhJQ6ziGGhd7MN2LcGs9iLWFr0zga+evVqjR49\nujaPm74hgAACCCCAAAIIIIAAAggggEB9FMjJ3vmoI715Pjk5UtM9dn6On69YgKlXr14aPny4\nW6pogaz333/fTf6xlWxPP/20XnvtNZ199tmuZgteWTDLZl8dccQROvjgg7V8+XI3A8tOGDZs\nmAtOjRkzxp1/xRVXaM8993RBqNdff93Fae677z5deOGF7vWuXbt6KyW9pZJeWbJkiQuivfDC\nC4r0xnruuecqPT1dM2fOdK/X5v/5HcB6/vnnvVl1WbJdBtu2beumuNkAo6KiNG7cOLVq1crt\nTmg7FFa0O2FtxqBvCCCAAAIIIIAAAggggAACCCBQtwVKW7b6I/dVRcO0pXbNmlf0ym4fO+us\nszRw4EB17NjRTQg68cQTdc011yg6Olpz5sxxy/tmz57t4iy+RpKSktxrFsAqX2wJ4S+//KJ/\n/vOf5Q/L6vSld7KlhVdddZUswGUTkE455RR1797dnW8Tj4488kjZLLBF3kw0W2H3+eefq3nz\nwI55m84F6InfSwi///57N1gLXlVU7MbYWk0DpSCAAAIIIIAAAggggAACCCCAAAK1SmCvDiq1\nj+06Veolci89or/kLdcLZOnfv7/mzp0ri5dMmzbNrV6zWVWWq8o+LJDVoEEDNyPKZkXZhwW4\nfEGn8n2x863Y5KHypZm3i6JvlpXl0LIZXl26dHETjPbZZx/dcsst7nTLZW6ztS655BJ98803\nbjnh9kGy8vXWpsd+z8CydZcWIdxZyfW2obTSuJZl7d9ZfzmOAAIIIIAAAggggAACCCCAAAL1\nS6Bk6JWK/Nco6ecVLheWBbNK+/ZTySmnBRzCZkYlJyfr3nvvdR82McjyWdlxm5VlKZpOOukk\nl//KGrdAlCV979y5s+uL2yHxf72yyUSWB+uTTz5xucn/d9jVdcABB8hiMm+88YabkWWzskq8\nvF6W6snavuuuu9yHLSm0WVe2ks6KBdV8wS9ffbXxs98zsAx56dKlevfdd3cYj+XHuvvuu9Wy\nZcuwmH6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V2WD6t8sXOttGrVqvxhFwMq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\nQG0QmPJjrG4dl6z/G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AJWd2dgA+3Pnz8/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\nTneCTO8UAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 600,
       "width": 600
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat$KNN_correct <- dat$Species == dat$Species_predK100\n",
    "\n",
    "# Base layer to show training points\n",
    "ggplot(dat,aes(x=Petal.Length,y=Sepal.Length,col=Species)) + geom_point(size=2,shape=\"o\") + \n",
    "  # Next layer shows test points' KNN classifications\n",
    "  geom_point(data=dat[test.inds,],\n",
    "             aes(x=Petal.Length,y=Sepal.Length,col=Species_predK100)) + \n",
    "  # draw \"x\" over wrong ones. \n",
    "  geom_point(data=dat[which(!dat$KNN_correct),],\n",
    "             aes(x=Petal.Length,y=Sepal.Length),shape=\"x\",col=\"black\",size=4) + \n",
    "  ggtitle(\"k=100\")\n",
    "\n",
    "print(paste(\"Accuracy:\",sum(dat$KNN_correct[test.inds])/length(test.inds)))\n",
    "print(sum(dat$Species[-test.inds]==\"setosa\"))\n",
    "print(sum(dat$Species[-test.inds]==\"versicolor\"))\n",
    "print(sum(dat$Species[-test.inds]==\"virginica\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Uuo_gZWfxK4p"
   },
   "source": [
    "Here there are a lot of errors. Most notably, we now have many errors in Setosa, which previously had perfect accuracy. This is because setting `k` to 100 means you have to draw on points from much farther away, which in this case included Verginica and Versicolor observations at quite high rates. When `k=100` in this case, classification suffers from too much *bias* and not enough *variance*. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "u0rYIx6Yo2QK"
   },
   "source": [
    "\n",
    "## Standardizing data\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "AE6ze-O9pQBm"
   },
   "source": [
    "This section will work with the Caravan dataset, which describes the demographics of thousands of individuals as well as whether or not they bought Caravan insurance (only 6% of them did). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 272
    },
    "executionInfo": {
     "elapsed": 3700,
     "status": "ok",
     "timestamp": 1611800789782,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "SrKOCA5AzRBc",
    "outputId": "501fa08f-9725-49a2-f2d2-433519ce0cbd"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>MOSTYPE</th><th scope=col>MAANTHUI</th><th scope=col>MGEMOMV</th><th scope=col>MGEMLEEF</th><th scope=col>MOSHOOFD</th><th scope=col>Purchase</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>33</td><td>1</td><td>3</td><td>2</td><td> 8</td><td>No</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>37</td><td>1</td><td>2</td><td>2</td><td> 8</td><td>No</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>37</td><td>1</td><td>2</td><td>2</td><td> 8</td><td>No</td></tr>\n",
       "\t<tr><th scope=row>4</th><td> 9</td><td>1</td><td>3</td><td>3</td><td> 3</td><td>No</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>40</td><td>1</td><td>4</td><td>2</td><td>10</td><td>No</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>23</td><td>1</td><td>2</td><td>1</td><td> 5</td><td>No</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & MOSTYPE & MAANTHUI & MGEMOMV & MGEMLEEF & MOSHOOFD & Purchase\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <fct>\\\\\n",
       "\\hline\n",
       "\t1 & 33 & 1 & 3 & 2 &  8 & No\\\\\n",
       "\t2 & 37 & 1 & 2 & 2 &  8 & No\\\\\n",
       "\t3 & 37 & 1 & 2 & 2 &  8 & No\\\\\n",
       "\t4 &  9 & 1 & 3 & 3 &  3 & No\\\\\n",
       "\t5 & 40 & 1 & 4 & 2 & 10 & No\\\\\n",
       "\t6 & 23 & 1 & 2 & 1 &  5 & No\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 6\n",
       "\n",
       "| <!--/--> | MOSTYPE &lt;dbl&gt; | MAANTHUI &lt;dbl&gt; | MGEMOMV &lt;dbl&gt; | MGEMLEEF &lt;dbl&gt; | MOSHOOFD &lt;dbl&gt; | Purchase &lt;fct&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| 1 | 33 | 1 | 3 | 2 |  8 | No |\n",
       "| 2 | 37 | 1 | 2 | 2 |  8 | No |\n",
       "| 3 | 37 | 1 | 2 | 2 |  8 | No |\n",
       "| 4 |  9 | 1 | 3 | 3 |  3 | No |\n",
       "| 5 | 40 | 1 | 4 | 2 | 10 | No |\n",
       "| 6 | 23 | 1 | 2 | 1 |  5 | No |\n",
       "\n"
      ],
      "text/plain": [
       "  MOSTYPE MAANTHUI MGEMOMV MGEMLEEF MOSHOOFD Purchase\n",
       "1 33      1        3       2         8       No      \n",
       "2 37      1        2       2         8       No      \n",
       "3 37      1        2       2         8       No      \n",
       "4  9      1        3       3         3       No      \n",
       "5 40      1        4       2        10       No      \n",
       "6 23      1        2       1         5       No      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 0 1 2\n"
     ]
    }
   ],
   "source": [
    "#install.packages(\"ISLR\")\n",
    "library(ISLR)\n",
    "\n",
    "head(Caravan[,c(1:5,86)])\n",
    "# column 86 is whether or not they purchased Caravan insurance\n",
    "\n",
    "print(unique(Caravan$ABYSTAND))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3_w0lAjT0Gxn"
   },
   "source": [
    "Here's the thing: some of these variables describe salary (in thousands of dollars) and others describe age (in years). Because a lot of different units of measurement are used, the variances of these variables are vastly different from each other. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 737,
     "status": "ok",
     "timestamp": 1611801378292,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "iERHZZc_0Qhs",
    "outputId": "b504cee2-b3fa-430b-8d4f-eb7581bddc57"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"variance of first variable: 165.037847395189\"\n",
      "[1] \"variance of second variable: 0.164707781931954\"\n"
     ]
    }
   ],
   "source": [
    "print(paste(\"variance of first variable:\",var(Caravan[,1])))\n",
    "print(paste(\"variance of second variable:\",var(Caravan[,2])))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CZgJet2Z2WZ-"
   },
   "source": [
    "Since KNN is based on calculations of distance, we need to **standardize** these variables so that KNN doesn't think, for example, that a difference of 60 minutes is more important than a difference of 3 years. Now let's train KNN, using `k=100` since this is a large dataset (Note: we'll talk about better ways to select proper k-values soon).\n",
    "\n",
    "The `scale()` function transforms standardizes all selected variables, meaning they'll all have a mean of 0 and a variance of 1. We don't want to standardize our outcome variable since it is qualitative."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 51
    },
    "executionInfo": {
     "elapsed": 1949,
     "status": "ok",
     "timestamp": 1611802005140,
     "user": {
      "displayName": "Patience Stevens",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gi-_9ZqhIFhAv1oMehJNvNuIKSTyrFQHzjxQKhx=s64",
      "userId": "01994571539255174942"
     },
     "user_tz": 300
    },
    "id": "nx6Iq4QC2yXb",
    "outputId": "2fcfa599-2e5b-45cf-b651-20f1cb707adb"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "1"
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       "1"
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      "text/markdown": [
       "1"
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       "[1] 1"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Accuracy: 0.941\"\n"
     ]
    }
   ],
   "source": [
    "# 86 is the \"Purchased\" variable we will predict\n",
    "stand.X <- scale(Caravan[,-86])\n",
    "# variance is 1:\n",
    "var(stand.X[,1])\n",
    "\n",
    "# our test predictor variables\n",
    "test.preds <- stand.X[1:1000,] \n",
    "\n",
    "# train predictor variables\n",
    "train.preds <- stand.X[1001:nrow(stand.X),] \n",
    "\n",
    "# classifications for training observations\n",
    "train.purch <- Caravan[1001:nrow(Caravan),86]\n",
    "\n",
    "#run knn\n",
    "test.purch.knn <- knn(train.preds,test.preds,train.purch,k=100)\n",
    "print(paste(\"Accuracy:\",mean(test.purch.knn==Caravan[1:1000,86])))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "QB-5CxK04vYR"
   },
   "source": [
    "This seems pretty good - but then we remember that only 6% of the people in the data set even bought insurance! So you can get 94% accuracy just by guessing \"No\" for everyone, and that's exactly what KNN did. With so few people buying insurance, any set of 100 observations you look at will probably have majority \"No\". Thus we're not doing anything impressive with these predictions - make sure to think through the probability of performing \"well\" by chance or fluke, when you're working with classifiers!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "rUwaVBSThT8p"
   },
   "source": [
    "*Notebook authored by Patience Stevens and edited by Amy Sentis and Fiona Horner.*"
   ]
  }
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