{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Data Visualization 2\n",
"\n",
"- This unit covers the layered framework for data visualization, i.e., the Grammar of Graphics.\n",
"- The codes implement the ideas of layered graph building using the module, `plotnine`, which is essentially the Python version of R ggplot2."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from plotnine import *\n",
"from plotnine.data import mpg, mtcars\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"pandas.core.frame.DataFrame"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"type(mpg)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data Frame Preparation"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" manufacturer | \n",
" model | \n",
" displ | \n",
" year | \n",
" cyl | \n",
" trans | \n",
" drv | \n",
" cty | \n",
" hwy | \n",
" fl | \n",
" class | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" audi | \n",
" a4 | \n",
" 1.8 | \n",
" 1999 | \n",
" 4 | \n",
" auto(l5) | \n",
" f | \n",
" 18 | \n",
" 29 | \n",
" p | \n",
" compact | \n",
"
\n",
" \n",
" 1 | \n",
" audi | \n",
" a4 | \n",
" 1.8 | \n",
" 1999 | \n",
" 4 | \n",
" manual(m5) | \n",
" f | \n",
" 21 | \n",
" 29 | \n",
" p | \n",
" compact | \n",
"
\n",
" \n",
" 2 | \n",
" audi | \n",
" a4 | \n",
" 2.0 | \n",
" 2008 | \n",
" 4 | \n",
" manual(m6) | \n",
" f | \n",
" 20 | \n",
" 31 | \n",
" p | \n",
" compact | \n",
"
\n",
" \n",
" 3 | \n",
" audi | \n",
" a4 | \n",
" 2.0 | \n",
" 2008 | \n",
" 4 | \n",
" auto(av) | \n",
" f | \n",
" 21 | \n",
" 30 | \n",
" p | \n",
" compact | \n",
"
\n",
" \n",
" 4 | \n",
" audi | \n",
" a4 | \n",
" 2.8 | \n",
" 1999 | \n",
" 6 | \n",
" auto(l5) | \n",
" f | \n",
" 16 | \n",
" 26 | \n",
" p | \n",
" compact | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" manufacturer model displ year cyl trans drv cty hwy fl class\n",
"0 audi a4 1.8 1999 4 auto(l5) f 18 29 p compact\n",
"1 audi a4 1.8 1999 4 manual(m5) f 21 29 p compact\n",
"2 audi a4 2.0 2008 4 manual(m6) f 20 31 p compact\n",
"3 audi a4 2.0 2008 4 auto(av) f 21 30 p compact\n",
"4 audi a4 2.8 1999 6 auto(l5) f 16 26 p compact"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame.head(mpg)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" name | \n",
" mpg | \n",
" cyl | \n",
" disp | \n",
" hp | \n",
" drat | \n",
" wt | \n",
" qsec | \n",
" vs | \n",
" am | \n",
" gear | \n",
" carb | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" Mazda RX4 | \n",
" 21.0 | \n",
" 6 | \n",
" 160.0 | \n",
" 110 | \n",
" 3.90 | \n",
" 2.620 | \n",
" 16.46 | \n",
" 0 | \n",
" 1 | \n",
" 4 | \n",
" 4 | \n",
"
\n",
" \n",
" 1 | \n",
" Mazda RX4 Wag | \n",
" 21.0 | \n",
" 6 | \n",
" 160.0 | \n",
" 110 | \n",
" 3.90 | \n",
" 2.875 | \n",
" 17.02 | \n",
" 0 | \n",
" 1 | \n",
" 4 | \n",
" 4 | \n",
"
\n",
" \n",
" 2 | \n",
" Datsun 710 | \n",
" 22.8 | \n",
" 4 | \n",
" 108.0 | \n",
" 93 | \n",
" 3.85 | \n",
" 2.320 | \n",
" 18.61 | \n",
" 1 | \n",
" 1 | \n",
" 4 | \n",
" 1 | \n",
"
\n",
" \n",
" 3 | \n",
" Hornet 4 Drive | \n",
" 21.4 | \n",
" 6 | \n",
" 258.0 | \n",
" 110 | \n",
" 3.08 | \n",
" 3.215 | \n",
" 19.44 | \n",
" 1 | \n",
" 0 | \n",
" 3 | \n",
" 1 | \n",
"
\n",
" \n",
" 4 | \n",
" Hornet Sportabout | \n",
" 18.7 | \n",
" 8 | \n",
" 360.0 | \n",
" 175 | \n",
" 3.15 | \n",
" 3.440 | \n",
" 17.02 | \n",
" 0 | \n",
" 0 | \n",
" 3 | \n",
" 2 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" name mpg cyl disp hp drat wt qsec vs am gear \\\n",
"0 Mazda RX4 21.0 6 160.0 110 3.90 2.620 16.46 0 1 4 \n",
"1 Mazda RX4 Wag 21.0 6 160.0 110 3.90 2.875 17.02 0 1 4 \n",
"2 Datsun 710 22.8 4 108.0 93 3.85 2.320 18.61 1 1 4 \n",
"3 Hornet 4 Drive 21.4 6 258.0 110 3.08 3.215 19.44 1 0 3 \n",
"4 Hornet Sportabout 18.7 8 360.0 175 3.15 3.440 17.02 0 0 3 \n",
"\n",
" carb \n",
"0 4 \n",
"1 4 \n",
"2 1 \n",
"3 1 \n",
"4 2 "
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame.head(mtcars)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic Graphs"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(ggplot(mpg) +\n",
"aes(x = 'class', fill = 'class') +\n",
"geom_bar(size=20))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsAAAAGuCAYAAACeObBYAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAA9hAAAPYQGoP6dpAABnLElEQVR4nO3dd1hT598G8DsJEPZGQBQQt3XbulGxzjpoHYgbV7GOOjrcVhy1rQurtY7WulCq1lFbtXXQarU42rrrliGyRUaYgfP+4Wt+TYNlJZyE3J/r8pKc+c1jEm9OnvM8EkEQBBARERERGQmp2AUQEREREVUmBmAiIiIiMioMwERERERkVBiAiYiIiMioMAATERERkVFhACYiIiIio8IATERERERGhQGYiIiIiIyKidgF6EJKSorYJZRIIpHAwsICOTk54Fwkz7FNNLFN1LE9NLFNNLFNNBlKmzg7O4tdAhkJXgEWiVQqhaWlJaRS/hO8wDbRxDZRx/bQxDbRxDbRxDYhUsd3AhEREREZFQZgIiIiIjIqDMBEREREZFQYgImIiIjIqDAAExEREZFRqZLDoJmZmUEul4tdxn+SSCQAACsrK70ekqYysU00sU3UsT00sU00sU00sU2I1FXJAJyfn4/8/Hyxy/hPMpkMZmZmUCgUKCwsFLscvcA20cQ2Ucf20MQ20cQ20WQobaLvF6+o6mAXCCIiIiIyKgzARERERGRUGICJiIiIyKgwABMRERGRUWEAJiIiIiKjUiVHgSDDkpmZiQ0bNuDvv/+Gk5MTRowYgRYtWohdFhEZoIsXL2LXrl1QKBRo1KgRgoODYW1tLXZZRKRnGIBJVPn5+Xj//fcRFxcHpVKJhIQEzJ07F8uXL0fz5s3FLo+IDMjly5fx0Ucfqca5TUxMxKNHjxAaGgoTE/53R0T/wy4QJKpr164hNjYWSqVStUwQBOzfv1/EqojIEO3du1dtkgelUokHDx7g5s2bIlZFRPqIAZhElZ2dDalU82WYlZUlQjVEZMiK+9yQSqXIyckRoRoi0mcMwCSqevXqaUzLaWJiwj7ARFRmLVq00OjqIJVKUbt2bZEqIiJ9xQBMonJzc8OsWbNgYmKimqu+VatWGDZsmMiVEZGhGT16NJo2bQoAkEgkMDU1xdy5c+Hi4iJyZUSkb3hXAImuU6dOaNKkCWJjY1GjRg04OzujqKhI7LKIyMCYmZlh6dKliI6OhkQigaOjI2xtbcUui4j0EAMw6QUHBwc4OzvDwcEBaWlpYpdDRAZKKpWiTp06qs+SwsJCsUsiIj3ELhBEREREZFQYgImIiIjIqDAAExEREZFRYQAmIiIiIqPCAExERERERoUBmIiIiIiMCgMwERERERkVBmAiIiIiMioMwERERERkVBiAiYiIiMioMAATERERkVFhACYiIiIio8IATERERERGhQGYiIiIiIwKAzARERERGRUGYCIiIiIyKgzARERERGRUGICJiIiIyKgwABMRERGRUWEAJiIiIiKjwgBMREREREaFAZiIiIiIjAoDMBEREREZFROxCyAiItIWpVKJq1evQhAEuLu7w9XVVeySiEgPMQATEVGVkJ2djdmzZ+PevXuQyWQoKirCzJkz0a1bN7FLIyI9wy4QRERUJWzduhUPHz6EIAhQKpUoKirC6tWrkZCQIHZpRKRnGICJiKhKuHnzJpRKpdoyiUSCR48eiVQREekrBmAiIqoS7OzsIJFI1JYVFRXBxsZGpIqISF8xABMRUZUwYsQISCQSVQg2MTFB48aN0bBhQ5ErIyJ9w5vgiIioSmjcuDFWrFiBb7/9FgqFAg0bNsTIkSMhk8nELo2I9AwDMBERVRmvvPIKli1bBgcHB6SlpaGwsFDskohID7ELBBEREREZFb26ApyRkYF33nkH7u7uWLlyJQAgOjoa69atQ1RUFFxdXfH222+jWbNmIldKRERERIZKr64Af/PNN6hZs6bqsVKpxJIlS9C6dWvs2bMHgYGBWL58OZ49eyZekURERERk0PQmAN+4cQNPnjxRm7Hn+vXryMvLw6BBg2BqagpfX194enri3LlzIlZKRERERIZMLwJwQUEBNm3ahIkTJ6qN4RgTEwNvb29Ipf8r08fHB9HR0WKUSURERERVgF70Af7uu+/QrFkz1KpVCw8fPlQtz8nJgZWVldq2VlZWSEpKUlsWHx+P+Ph41WO5XI7q1avrtugKejEsD4fn+R+2iSa2iTq2hya2iSa2iSa2CZE60QPwkydPcOrUKaxdu1ZjnYWFBRQKhdoyhUIBCwsLtWWbNm1CSEiI6vHcuXOxbNky3RSsZba2tmKXoHfYJprYJurYHprYJprYJprYJkTPiR6A//77b6SlpWHixIkAgPz8fOTn52PUqFGYNGkSoqOjUVRUpOoG8ejRI3Tq1EntGMHBwejfv7/qsVwuR1paWuU9iXKQyWSwtbVFRkYGx6n8f2wTTWwTdWwPTWwTTWwTTYbSJg4ODmKXQEZC9ADcsWNHtGzZUvX47NmziIiIwMKFC2FjYwMzMzMcOHAA/v7+uHDhAqKjo9GhQwe1Y7i7u8Pd3V31OCUlRa/f4P9UWFhoMLVWFraJJraJOraHJraJJraJJrYJ0XOiB2C5XA65XK56bGVlBZlMpvotcP78+Vi/fj3Cw8NRrVo1zJkzB/b29iJVS0RERESGTvQA/G+vv/46Xn/9ddVjb29v1aQYREREREQVpRfDoBERERERVRYGYCIiIiIyKgzARERERGRUGICJiIiIyKgwABMRERGRUWEAJiIiIiKjwgBMREREREaFAZiIiIiIjAoDMBEREREZFQZgIiIiIjIqDMBEREREZFQYgImIiIjIqDAAExEREZFRYQAmIiIiIqPCAExERERERoUBmIiIiIiMCgMwERERERkVBmAiIiIiMioMwERERERkVBiAiYiIiMioMAATERERkVFhACYiIiIio8IATERERERGxUTsAogAIC4uDo8ePYKHhwdq1aoldjlERERUhTEAk+iOHTuGdevWQSqVorCwEI0aNcKyZctgbm4udmlERERUBbELBInq8ePHWLduHYqKiqBUKiEIAu7cuYMdO3aIXRoRERFVUQzAJKqHDx9CKlV/GSqVSty8eVOkioiIiKiqYwAmUVlbW6OwsFBtmUQigb29vTgFERERUZXHAEyiatasGerXrw8Tk+fd0aVSKaRSKYYOHSpyZUREZOyioqIgkUiwf/9+sUshLeNNcCQqmUyGTz75BNu3b8etW7fg4uKCgIAA1KtXT+zSiIiIqIpiACbRmZubIzg4GDKZDA4ODkhLS9PoFkFERESkLewCQUREREbt999/R48ePWBrawsbGxu0adMGJ06cKHbbHTt2oGPHjnB0dISDgwO6dOmCixcvqm3z+PFjBAQEwNXVFebm5qhVqxZmzJhR6vWke7wCTEREREbr3Llz6Nq1K9q2bYuvvvoK9vb2uHz5MmJiYlC3bl2N7aOiojBq1CjUrl0b+fn52LNnDzp16oRr166puu+NGjUKT548weeffw5XV1fExMTg8uXLqmOUtJ50TyIIgiB2EdqWkpIidgkl4tf9mtgmmtgm6tgemtgmmtgmmgylTZydnSv9nB06dMCzZ89w7do1yGQytXVRUVGoVasW9u3bh0GDBmnsW1RUhKKiIjRu3BgDBgzAxx9/DOD5CEfLly/H1KlTiz1nSetJ99gFgoiIiIxSdnY2IiMjMXr0aI3w+zJ///033nrrLbi6ukImk8HU1BR37tzB3bt3Vdu0bNkSK1euxJdffon79+9rHKOk9aR7DMBERERklNLS0lBUVITq1auXavvMzEz06NED0dHRWL16Nc6ePYtLly6hWbNmyM3NVW337bff4vXXX8e8efNQt25dNGjQAAcOHCj1etI9BmAiIiIySvb29pBKpXjy5Emptv/999/x+PFjfPPNNxg+fDg6duyIV199Fenp6Wrbubu7Y+vWrUhJScHFixdRv359DBkyBA8fPizVetI9BmAiIqpSFAoFNm3aBIVCIXYppOesrKzQrl077Nixo1R9o3NycgAAZmZmqmXnz59HVFRUsdtLpVK89tprWLp0KZRKpUZ3h5LWk+5wFAgiIqpSFAoFtmzZgi5dusDc3FzsckjPffLJJ+jatSu6deuGSZMmwcHBAX/++SecnZ3RtWtXtW3btm0La2trTJ48GbNnz0ZcXBw++ugjeHh4qLZJT09Hz549MXLkSNSvXx/5+flYt24d7O3t0bJlyxLXU+XgFWAiIiIyWh07dsQvv/wCiUSCoKAgDBgwAAcPHoSXl5fGtq6urti3bx+SkpLg7++P0NBQbNq0CXXq1FFtY25ujiZNmmDdunXo378/Ro4ciaKiIvz8889wdnYucT1VDg6DJhJDGZKmMrFNNLFN1LE9NLFNNKWmpmL48OEICwuDk5OT2OXoBUN5nTAAUmXhFWAiIiIiMioMwERERERkVBiAiYiIiMiocBQI0gt//vknLl++jJo1a6JHjx6lnpGHiIioPDIzM3VyXBsbG50cl7SLAZhEt2LFCpw6dUr1ePPmzdi2bRvs7OxErIqIiIiqKnaBIFFdvnxZLfwCzwcanzdvnkgVERER/U9WVha2bduGrKwssUshLWIAJlFdvny52OWPHz+u5EqIiIg0KRQKbN++nTMLVjFVsguEmZkZ5HK52GX8J4lEAuD5NIxVcCjmUnN3dy92uaWlJftRga+Tf2N7aGKbaMrOzgYAWFhY8HPk//F1QqSuSgbg/Px85Ofni13Gf5LJZDAzM4NCodDrQcl1rXfv3vjmm2+Qm5urtnzUqFE6u0HBkPB1oo7toYltoiknJ0f1Nz9HnjOU14m+X7yiqqNKBmAyHGZmZti2bRvmzZuHx48fw9LSEmPGjEGPHj3ELo2IiIyEn59fidsEBgaWuE1ERESxy/Py8jB58mScOnUKKSkp8PT0xLx58zBs2LAy11paQUFBcHNzwyeffKKzcxgyBmASnb29Pb744guDmaqTiIiqnvDGdSq0f+CN+y9dp1QqUb16dZw6dQq1atXCuXPn0KdPH9SqVQvt2rWr0Hl1RalUwsSk6sZE3gRHREREpENWVlZYvHgxfHx8IJFI0LFjR3To0AHnz59Hbm4ugoKC4OTkBDs7OzRr1gy3bt0C8LxL59y5c1GrVi04Oztj2LBhSEtLUx136NChcHd3h52dHXx9fXH9+nUAwIYNGxAWFobVq1fD2toanTp1AgBkZGRg4sSJqFGjBtzc3DBlyhRVF8RffvkFbm5uCA0NhYeHB/r27VvJrVS5GICJiIiIKpFCocDly5fRuHFjbN++HdevX8eDBw/w7NkzhIeHw9HREQAwZ84c/Pnnn7hw4QJiY2NhZmaGKVOmqI7To0cP3LlzB0lJSWjdujWGDh0KAJg0aRKGDx+OmTNnIisrC2fOnAEAjBkzBrm5ubh16xZu376Ne/fuYcmSJarjpaSk4NGjR3jw4AEOHjxYiS1S+RiAiYiIyOil5BdU6E9pFRUVISgoCK+99hp69OgBMzMzZGZm4vbt2xAEAQ0bNoSbmxsEQcDGjRuxZs0aVKtWDRYWFliyZAn27dun6iY4ZswY2NraQi6XY+HChbh58yZSU1OLPW9SUhK+//57rFu3Dra2trC3t8f8+fOxZ88e1TaCIGD58uUwNzeHhYVFxRpUz1Xdzh1EREREpTTlbrTOzyEIAiZOnIgnT57gp59+gkQiwciRI/HkyRO8/fbbePLkCQYMGICVK1ciNzcX2dnZGn2EpVIpEhIS4Obmhnnz5mHfvn1ITk6GVPr8mmZKSgqcnJw0zh0VFYXCwkLUrFlTrZ5/3nPj7OwMS0tLHT17/cIATEREREZvfT2vCu1fUoAWBAGTJ0/GlStXcPLkSVhbWwMATExMMG/ePMybNw/x8fEYPHgwVqxYgZCQEFhYWODKlSvw9vbWON7OnTtx4MABnDhxArVq1UJGRgbs7e1V4zy/GPv5BU9PT5iYmCApKQlmZmbF1vjvfaoydoEgIiIio+dsZlqhPyWZMmUKIiMj8dNPP8HW1la1PCIiAlevXkVhYSGsra0hl8shk8kglUoRHByMGTNmID4+HsDzbgyHDx8GAGRmZkIul8PJyQk5OTmYP3++2vlcXV3x8OFD1WM3Nzf06dMH06ZNQ1paGgRBQGxsLI4fP66N5jM4DMBEREREOhQdHY0NGzbg1q1bqFmzJqytrWFtbY2PP/4YCQkJGDJkCOzs7FC7dm14eHjggw8+AAB88sknaNasGXx9fWFjY4P27dvj4sWLAJ5PGOXj4wMPDw80bNgQr732mto5x40bh3v37sHBwUE1zvH27dthamqK5s2bw87ODj179sTdu3crtzH0hESognMipqSkiF1CiTjmrSa2iSa2iTq2hya2iabU1FQMHz4cYWFhxfaFNEaG8jpxdnautHP9c5ZAPz8/rYwDHBERwem3DUSFrgDHxsbi/PnzUCgU2qqHiIiIiEinynUT3ObNmxESEoKEhAQAwKVLl9CyZUu89dZb6NKlC6ZNm6bVIomIiIh06b9mcqOqp8wBODQ0FLNmzcLMmTPx+uuvo0ePHqp1Xbp0wb59+xiAiYiIyGBERES8dF1iYiICAwMRHh4OV1fXSqyKdKnMAXjdunVYsGAB5s+fr9GPqH79+rhz547WiiMiIiIi0rYy9wGOi4tD+/bti11namqKrKysChdFREREpA+srKwwevRoWFlZiV0KaVGZA7CXl5dqCI5/u3DhAurVq1fhooiIiIj0gbW1NYKCglQTV1DVUOYuEBMmTMCiRYvg4uKCAQMGAAAKCgrw448/YsWKFVi2bJnWiyQiIiLSJg5XZtzKHIDff/99xMTE4O2330ZwcDAAoEOHDgCASZMmYdKkSdqtkIiIiIhIi8o1DNrnn3+O6dOn48SJE0hNTYWjoyNef/111K1bV9v1ERERERFpVbkCMAD4+PiorgATaYNCocDevXvRp08fmJubi10OERFVYf+cCU6b2LXCMJQ5AJ85c+al66RSKezs7FCvXj3I5fIKFUbGR6FQYMuWLejSpQsDMBEREelMmQNwly5dIJFIVI8FQVB7DAAWFhYIDg7GihUrIJVWaLZlIiIiItFkZWVh//79GDRoEEeCqELKnE5PnDgBT09PjB07FocPH0ZkZCQOHz6MoKAg1KxZE+Hh4ZgxYwa++OILhISE6KJmIiIiokqhUCiwfft2KBQKsUshLSrzFeDNmzdj6NCh+Pjjj9WW9+3bF3PnzsWePXtw4MABFBUVYefOnQzBRERERKRXyhyAjx49ioMHDxa7zs/PD+vWrVP9vHLlyopVR0RERKRjfn5+JW4TGBhY4jYRERHaKIcqQZkDsLW1NSIiItCtWzeNdREREar+Mfn5+bwTkoiIiAxC+Nd1KrR/4Lj7WqpE/wQFBcHNzQ2ffPKJ2KVoTZkD8DvvvIOQkBAkJyejX79+cHFxQXJyMg4fPoxvvvkGixYtAgCcP38ezZo103a9REREREQVUuab4BYuXIg1a9bgxx9/hL+/Pzp06AB/f38cPXoUoaGhWLBgAQBgxIgR+Oabb7ReMBEREZGhefLkCQIDA+Hq6goHBwe8+eabAIBjx46hWbNmsLOzQ5s2bfD777+r9gkKCsI777yDN998E9bW1mjRogUePHiAzz77DG5ubnB3d8e3336rtn1wcDDeeOMN2NjYoHXr1rhx44Zq/YoVK1CnTh3Y2NigYcOG+O6779Rq3LFjBxo3bgwbGxvUqVMHx48fx4YNGxAWFobVq1fD2toanTp10m1DVZJyjVH27rvvIjY2FlFRUTh//jyioqLw+PFjTJ06VbVNgwYN4OnpqbVCiYiIiAxRYWEh+vXrB0dHR9y7dw9JSUmYMWMG7t27h4EDB+Ljjz9GamoqJk+ejN69eyMlJUW1b3h4OGbPno20tDTUq1cP3bt3R05ODmJjY/H5558jODgYOTk5qu137tyJmTNn4unTp+jfvz/efPNNKJVKAECtWrXw66+/Ij09HUuWLMHIkSPx+PFjAMChQ4fw4YcfYvPmzcjIyEBERAS8vLwwadIkDB8+HDNnzkRWVtZ/zgdhSMo9SK9UKoWnpyfatGkDT09PjvdLpAMKhQKbNm3i8DtERDqWklpQoT//5dKlS3j06BFCQ0Nha2sLU1NTdO7cGd9++y169uyJPn36wMTEBKNGjUKDBg1w+PBh1b7+/v5o27YtTE1NMWTIECQlJWH+/PkwNTXF4MGDkZOTgwcPHqi27927N7p16wZTU1PMmTMH6enpiIyMBAAMGjQIHh4ekEqlGDRoEOrXr48LFy4AADZu3Ij3338f7du3h0QiQc2aNdGwYUMdtLR+KNdUyEVFRTh9+jTu3r2L3NxctXUSiQQzZszQSnFExo6z4xERVY4pH0br7NgxMTHw9PSEmZmZ2vK4uDh4e3urLfP29kZcXJzqsZubm+pnS0tLODs7QyaTqZZZWFggKytL9fif377LZDJ4eHiojrdjxw6sXr0aUVFRAJ5P8vHianNMTAzq1KnYjYCGpMwBOCEhAV26dMHdu3chkUggCAIAqM0GxwBMREREhmT9Z14V2v+/ArSnpydiYmJQUFAAU1NT1XIPDw/88ccfattGRUWhe/fu5a4jJiZG9XNhYSHi4uLg4eGB6OhojB8/HidPnkSHDh0gk8nQokULVY7z9PTE/fvFj2Tx7xl/q4Iy91uYOXMmnJycEBsbC0EQcOHCBURFRWHJkiWoW7cu7t69q4s6iYiIiHTG2cm0Qn/+y2uvvQYvLy/MnDkTmZmZKCgowK+//oqAgAD89NNPOHbsGJRKJXbt2oXbt2/D39+/3M/j+PHjOH36NAoKCvDpp5/CxsYGbdq0UXWlc3FxAfD8avA/b5B7++23sWrVKkRGRkIQBDx+/Bi3b98GALi6uuLhw4flrkkflTkAnzlzBu+99x7c3d0BAIIgwNPTE3PnzsXIkSMxZcoUrRdJREREZKhkMhmOHDmC+Ph4+Pj4wNXVFZ9//jnq1auHvXv3YtasWXBycsLatWvx448/wtnZudznGjFiBFauXAkHBwccPHgQBw8ehKmpKRo1aoQPPvgAHTp0gKurK65cuYL27dur9hswYACWLl2KsWPHwtbWFn5+foiOfn5Ve9y4cbh37x4cHBxKNWmIIShzF4j09HS4uLhAKpXC1tYWSUlJqnXt2rWrUoMkExEREWlDjRo1sH//fo3lffv2Rd++fYvdZ9u2bWqPe/Xqpeq/+8KzZ8/UHjs4OGDTpk3FHm/ZsmVYtmzZS2scN24cxo0bp7G8bt26+Ouvv166nyEqcwCuVasW4uPjAQCvvPIKdu7cqfqHO3jwIBwdHbVbIREREZGOVeWZ3EhTmQNwnz598PPPPyMgIADz58+Hv78/qlWrBlNTUyQkJODTTz/VRZ1EREREOhEREfHSdYmJiQgMDER4eDhcXV0rsSrSpTIH4OXLl6t+7t27N86fP4+DBw8iJycH3bt3R+/evbVaIBERERGV7N9dJujlyjUO8D+9+uqrePXVV7VRCxERERGRzpUqAD99+rRMB2U/YCIiIqoKrKysMHr0aFhZWYldCmlRqQKws7NzmQZBLiwsLHdBRERERPrC2toaQUFBYpdBWlaqALx169YqOQsIERERGScbGxuxSyARlSoA8zcfIiIiIqoqyjwTHBERERGRISvVFeCmTZti9+7daNy4MZo0afKf3SEkEgmuXr2qtQKJiKjqSE9PR15enk7PkZaWBgBISUnR+T0pcrkcdnZ2Oj0H6UZmZqZOjsuuFYahVAG4VatWqrsfW7VqpfX+wOvXr8fly5eRk5MDGxsb9OjRAwEBAQCA6OhorFu3DlFRUXB1dcXbb7+NZs2aafX8RESke+np6QgMHApBKKqU802bNk3n55BIpAgP38MQTGRgShWAv/nmG9XPuhhkuX///pgwYQLkcjmSk5OxaNEiVK9eHW3btsWSJUvQo0cPLF++HJGRkVi+fDk2btwIe3t7rddBRES6k5eXB0EoQmePxbAwMfzhMnOUT/Fr3EKdX9EmcWVlZWH//v0YNGgQrK2txS6HtKTCE2Fog6enp9pjiUSCJ0+e4Pr168jLy8OgQYMglUrh6+uLI0eO4Ny5c+jTp49I1RIRUUVYmDjC0tRZ7DKISkWhUGD79u3o3bs3A3AVUqoAvHjx4lIfUCKRYMGCBWUuZPv27fjhhx+Ql5eHatWqwc/PD+fPn4e3tzek0v/dq+fj44Po6OgyH5+IiIiICChlAF60aBHMzc1hbm4OQRD+c9vyBuDRo0dj1KhRuH//PiIjI2FlZYWcnByNmVesrKyQlJSktiw+Ph7x8fGqx3K5HNWrVy9zDZVJJpOp/U1Q/aIjlUrZLv+PbaKO7xtNhtQmhlBjechkMr1/bob0OhGDn59fidsEBgaWuE1ERIQ2ysErr7yCtWvXolu3bhrrbt++jYYNG5aYx86ePYugoCA8ePBAKzVVNaUKwB4eHkhKSoKvry+GDRuG/v37w8LCQuvFSCQS1K1bF3/88Qf27NkDZ2dnKBQKtW0UCoXGuTdt2oSQkBDV47lz52LZsmVar08XbG1txS5Bb7zoR2djYwMHBweRq9EPbJPi8X2jyRDapKr2lbWzszOY96chvE7E0jW8ToX2Px14X0uVADdv3qzwMXx9fRl+/0OpAnBsbCzOnj2LPXv2YOrUqZgwYQL8/f0xdOhQ9OzZU+u/URYVFSE+Ph4tW7bEd999h6KiItWVsEePHqFTp05q2wcHB6N///6qx3K5XDUMjr6SyWSwtbVFRkYGp47+fy+GpMnMzIRcLhe5Gv3ANlHH940mQ2qT9PR0sUvQifT0dL1/fxrK68RQfpEgw1fqm+B8fX3h6+uLdevW4aeffkJ4eDiGDh0KMzMzDBo0COPHj0erVq3KXEBWVhYuXbqENm3awNzcHLdv38axY8cwZMgQNGnSBGZmZjhw4AD8/f1x4cIFREdHo0OHDmrHcHd3h7u7u+pxZYz9qC2FhYUGU6uuFRUVqf5mmzzHNike3zeaDKFN9L2+8jKEtn/BkGqtary9vTF58mTs2bMHd+7cQc+ePfH1119j2rRpOHToELy8vLBnzx40btwY3t7e2LhxI3r16oXc3FxMmTIFBw4cgJOTk8bwfjt37kRISAgSExNhb2+PmTNnYsaMGfjll18QGBiIhIQEfPfddxg9erRqH6VSCTc3N0RFRUEQBKxZswYbN25ESkoK2rZti82bN6NGjRqV3USVqswzwclkMrzxxhvYsWMHEhMTMWbMGGzZsqVCXQ5OnjyJcePGYejQoVi3bh3efPNN9OnTByYmJpg/fz4iIyMxdOhQ7N69G3PmzOEQaERERGRwwsPDceTIEcTExODGjRto06YNhg0bhrS0NPj5+WHmzJka+yxZsgTXr1/H7du3ce7cOYSFhanWKRQKjB07Ft988w0yMzNx9epVdOnSReMYAwcORFZWFrKyspCSkoLmzZtj+PDhAJ7PxRAWFoaff/4ZiYmJaNmyZan6Oxu6cg2Ddvv2bezZswfh4eF4+PAhXn/9dYwbN65cBVhbW/9nePb29sbKlSvLdWwiIiKi0shNKdD5OaZOnQoPDw8AQK9evXD37l306tULwPOb7P7ZnfOFPXv2YO3atahWrRoAYPbs2XjzzTdV601NTXHr1i00a9YMjo6OcHT87zG2x40bh+rVq2Pp0qUAgC+//BKrVq2Ct7c3gOcDH1hZWSEmJkZjmNqqpNQBODo6GuHh4di9ezdu3LiBdu3a4d1338XgwYNV/yhEREREhuj8FN0Pserm5qb62dLSUuNxVlaWxj5PnjxRC6JeXl6qn62srPD9999j5cqV+PDDD9G8eXN88sknaNeuXbHnX7ZsGW7duoXffvtNNatvVFQUhgwZojbkrFQqxePHjxmA27dvjwsXLqBZs2YYMWIEAgMDUbNmTV3XRkRERFQp2q/3Knmj/6CrAF29enXExMSgWbNmAICYmBi19d26dUO3bt2Qn5+P0NBQBAQEIDY2VuM4Bw4cwBdffIELFy6oDTHr6emJjRs3Ftt1oiorVQCOjIyEtbU1CgoKsHPnTuzcufOl20okEly9elVrBRIRERHpmrmzqdglFGvIkCH4+OOP0bZtWwDAp59+qlqXmJiI33//Hd26dYOVlRVsbGyKHZnrypUrmDBhAn788UeNC5jvvPMO5s2bhx07dqB27dpIS0vDiRMnEBAQoNsnJrJSBeBRo0apLpUTERERUeVYuHAhEhMTUa9ePTg7O2PatGk4f/48gOcjBIWGhiIoKAiCIKBBgwbYvXu3xjEOHTqEZ8+eqU2s4eXlhZs3b2Lq1KmQSqXo27cv4uLiYG9vj+7duzMAA8C2bdt0XAYRERFR1RUVFaX2+JNPPlF73Lx5c+Tm5mpsa2Fhga1bt2Lr1q2qZVOmTAHwfBjYX375pdjzdenSBQkJCQCe39i2aNGiYreTSqWYOnUqpk6dWoZnY/jKNQoEGZ/09HSdz+L0YvKSyhjHWS6Xw87OrkLHqEptoo32ICIyZNqcyY30HwMwlSg9PR1DhwaiqOi/5x3Xln8P8q0LUqkEe/aElzv0paenI3BoIIQq0iYSqQThFWgPIiJDFhER8dJ1iYmJCAwMRHh4OFxdXSuxKtIlBmAqUV5eHoqKBCye4wFHB8N/yTxNU2Lh8rgKXb3Ny8uDUCSg1WIPyB0Nu03ynirxx8KKtQcREZEhMez/ualSOTqYwNlJP++SFYvc0URv7xwmIqKKs7KywujRo9WGDiPDxwBMRERE9BLW1tYICgoSuwzSMmnJm6jbuHEjMjIydFELEREREZHOlfkK8MyZM/Hee+9h4MCBGDduHDp37qyLuoiIiIh0xsbGRuwSSERlvgL85MkTfPbZZ7h16xb8/PxQp04dfPzxx4iLi9NFfUREREREWlXmK8D29vaYPHkyJk+ejGvXrmHr1q0IDQ3FRx99hB49emDs2LHo378/TE15YxARERHpp8zMTJ0cl1eWDUOZrwD/U9OmTREaGoorV66gQ4cOOHbsGAYPHgwPDw989NFHyMnJ0VadRERERERaUe4ALAgCjh07hkGDBsHHxwe3b9/GBx98gPPnz2PixIlYt24dRowYoc1aiYiIiIgqrMxdIB48eICtW7dix44dePLkCbp3746wsDD4+/vDxOT54dq2bYtXX30VgYGBWi+YiIiIqLJkZWVh//79GDRoEKytrcUuh7SkzAG4bt268PDwwJgxYzBu3Dh4eXkVu12DBg3Qpk2bChdIREREJBaFQoHt27ejd+/eDMBVSJm7QHz//feIjo7G4sWLXxp+AaBevXr/Obc2EREREWl65ZVXcPLkyVJt27t3b3z99dc6rqjqKfMV4L59++qiDiIiIiJR+Pn5lbhNabp1auvC382bN0u97bFjx7RyTmNTrqmQnz17hv379+Pu3bvIzc1VWyeRSLB27VqtFEdERERUGeqEz6rQ/vcDP9VSJVQZytwF4t69e6hbty5mzpyJVatWYe/evdi4cSPWr1+PsLAwHDlyRBd1EhERERksb29vrFixAi1btoSVlRUGDBiAtLQ0jBo1Cra2tmjSpAlu3Lih2vb48eMAgEWLFmHgwIGYMGEC7OzsUKdOHbXuEV26dMHGjRuRl5cHBwcHXLp0SbUuLy8Pjo6OuHjxIgBg6NChcHd3h52dHXx9fXH9+nXVtkFBQZg0aRIGDBgAGxsbNG3aFFeuXKmElhFHmQPwzJkz0aZNGyQmJkIQBBw9ehQ5OTnYtWsXbGxssG/fPl3USURERGTQwsPDceTIEcTExODGjRto06YNhg0bhrS0NPj5+WHmzJnF7vfDDz/gjTfewNOnTzF58mSMHTtWYxu5XI7BgwcjLCxMtezo0aNwcXFB69atAQA9evTAnTt3kJSUhNatW2Po0KFqx9i9ezdmzpyJZ8+eoWvXrnj33Xe1+Oz1S5kD8MWLFzFx4kTI5XIAQH5+PmQyGYYNG4aZM2dW6cYiIiIyNHl5ebh06RJOnz6NlJQUscvRWwUpGRX6UxpTp06Fh4cHnJyc0KtXL/j4+KBXr16QyWQIDAzEn3/+Wex+7dq1w1tvvQWZTIbRo0cjNja22H/LESNGIDw8HIWFhQCAsLAwDB8+XLV+zJgxsLW1hVwux8KFC3Hz5k2kpqaq1r/55pvo2LEjZDIZRo0a9dJ6qoIy9wHOy8uDra0tpFIpHB0d8eTJE9W6xo0bY86cOVotkIiIiMonNTUVH3zwARISEiCVSiGVSrFw4UK8+uqrYpemd6KnfKnzc7i5ual+trS01HiclZVVqv2A5+MTOzs7q23n6+sLc3NznDp1Cm3atMGPP/6Izz77DABQWFiIefPmYd++fUhOToZU+vwaaEpKCpycnIo9j0KhqMjT1WtlDsD16tVDdHQ0AKBFixbYsGEDunfvDhMTE2zatAnVq1fXepGkHx5E5SL1qVLsMirsWYb2nkPGg1zkphp2m+Q/M+z6iejlQkNDkZSUhKKiIhQVFQEAli5dit27d6uCFD3ntf6dCu1fGQG6JBKJBMOGDcOuXbsQGxuLFi1awMfHB8Dz7g0HDhzAiRMnUKtWLWRkZMDe3h6CIIhctTjKHIADAwNx5coVjBw5EkuWLEHPnj3h4OAAiUQCQRCwfft2XdRJemDNhkSxS9A7N9awTYhIf925cwdKpfovubm5uYiLi0PdunVFqko/mTrbil2CVowYMQJt2rTBvXv3MHLkSNXyzMxMyOVyODk5IScnB/PnzxexSvGVOQD/s4N227ZtcePGDRw/fhw5OTno2rUrGjdurNUCiYiIqHxsbGyQkaHZP9XWtmqEPdLUqFEj1K1bF3/88Qd++OEH1fJRo0bhp59+UvVBXrJkiYhViq9c4wD/U82aNTFhwgRt1EJ6bsYkV9jbVvglI7pnGUqtXc1uPMMVZvaG3Sb5z5S8kk1URY0ePRrLly9Xfc0tk8nQqVMnuLq6ilyZ8YmKilJ7/Mknn6g9bt68uWpuhX9uu2jRIrXtzM3N1bot/PLLLxrnKu7mNWtraxw+fFht2ahRo1Q/b9u2TW1dgwYNqnT3iDL/z92kSRN06tRJ9cfd3V0XdZEequ1tDmcnU7HLqLCU1AKtHcu2tjnMnQ27TXJTtNceRKRfOnXqBLlcjkOHDkGpVKJVq1YYPHiw2GURia5cUyGfOXMGX331FZRKJXx8fODr66sKxC86WxMREZH42rRpg/bt28PBwQFpaWmqIbJIHWdyMy5lDsDLly8H8LwT/fnz53H27FmcOXMGU6ZMQU5ODqpXr47Y2FitF0pERESkCxERES9dl5iYiMDAQISHh7PrSBVS7s6L5ubmaNeuHQRBgFKphEKhwMWLF5Genq7N+oiIiIiItKrMM8EdO3YMc+bMQfv27WFnZ4fBgwfj6tWrGDx4MC5cuIC0tDRd1ElERERU6aysrDB69GhYWVmJXQppUZmvAPfp0wcWFhYYP348Nm3ahMaNG0MikeiiNiIiIqqgkydP4sCBAygoKECrVq0wduxYmJmZiV2WwbC2tkZQUJDYZZCWlTkAT548GWfOnMH69evx3XffqW5+69y5Mxo2bKiLGomIqApJy32AHGWq2GVUWK7ymdgllOjnn3/GmjVrVMNZxcfH48mTJwgJCTH6i1c2NjZil0AiKnMAXrduHQDg2bNnOHPmDM6ePYtvvvkG06ZNg729PXx9fbF//36tF1qZ0tPTkZeXp9NzyGQy5OXlIT09Xed35MrlctjZ2VX4OE/TqsaUudp8HnlVYGroqvAcyLBcSFwjdglGY/fu3WpjuSqVSly8eBHx8fGoXr26iJURiavcN8HZ29vjjTfegIuLC5ycnGBmZoZz587h4MGD2qyv0qWnp2NoYCCKqtDgz1KJBHvCw8sdguVyOaRSCRYuj9NyZeKRSiWQy+Xl3l8ul0MileCPhVWjTSQVbA8i0k85OTllWk5kLMocgCMiInDmzBmcOXMGFy5cQE5ODtzd3eHr64svvvgCnTt31kWdlSYvLw9FgoDFPh5wNDHsGb4A4KlSiYUP4yp0RdvOzg579oTr/Kp4Wloapk2bhrVr18LBwUGn56roVXE7OzuEV6E20da3BESl0cZ1BsxN7MUuo8Jylc/0/mp2kyZNEBkZCaXyf9/0WFlZwcPDQ8Sq9ENmZqZOjsuuFYahzAnv9ddfh7e3Nzp16oThw4ejc+fOqF27ti5qE5WjiQmczQx7hi9tqoxwJJPJAADOzs5wcnLS+fkqim1CVD4O5rVhaeosdhkVll2QInYJJXr33XeRkJCA+/fvQyKRwNLSEiEhITA3Nxe7NCJRlTkAx8TEoEaNGrqohYiIiLTI1tYWa9euxaNHj2Bqaopq1arBwsJC7LIMSlZWFvbv349BgwbB2tpa7HJIS8o8DjDDLxERkeGQyWSoX78+WrVqxQBXDgqFAtu3b4dCoRC7FNKiMl8BLioqwldffYX9+/fj8ePHyM3NVVsvkUjw4MEDrRVIRERERKRNZQ7As2bNwqpVq9C5c2f4+flxMG0iIiKicoqJiUGjRo2Qmppa4mg8EokEf//9Nxo0aFBJ1VVdZQ7AYWFhCAkJwYIFC3RRDxEREWlRRkYGjh49isLCQrRt27ZK3rheUX5+fiVuExgYWOI2ERERZT63p6cnsrKyyrwfVUyZA3Bubi7at2+vi1qIiIhIi+7fv49p06apJlzauXMnRo0ahWHDholcmf6pMzG8Qvvf31hyQCb9UeYAPHz4cBw5cgSvv/66LurRGw9ycpFaYPgzZD1TGv5zICKi8pk3b57GbKM7duxAz549ObRiJfP29kZwcDB2796NmJgYdOvWDV9//TWePXuGWrVqIScnB+bm5khPT8esWbPwww8/IDMzE02bNsXPP/+sMXrH1atX0b9/f6xatQpZWVnYuHEjIiMjVevd3NwQHh6OLl26YNGiRbh27RosLS1x+PBheHp6YsOGDQY/d0NFlCoAHzhwQPVzu3btMG/ePCQmJqJ79+6wt7fX2H7AgAFaK1Asa2ITxS6BiIioQjIyMopdfvXqVXTt2rWSq6Ft27bh2LFjcHFxwdChQ/Huu+9i8eLFatuMHj0aEokEf/31FxwdHREZGQmpVH3QrjNnzmDYsGHYtm0bunXrhm3btpV47u+//x7ffPMNtm3bhrCwMPj7++PRo0c6n3hKX5UqAA8aNEhjWXR0NL799luN5RKJROO3zcpmZmZW7mldq+owJ1ZWVno/O012djYAwMLCQu9rrSxsE3USiQTA89ezUIWmK68IQ2oTfr5WPplMpjYL3Au1atXS25rFUpCp+4lNpkyZAh8fHwDAsmXL0Lp1ayxatEi1PiEhAYcPH0ZSUhJcXFwAAB06dFA7xuHDh7Fu3TocOHAArVu3LvW5mzVrhpEjRwJ4HrJDQ0Px448/YsSIERV8VoapVAH40aNHuq5Dq/Lz85Gfn1+ufV98QM+o6Qr7KjAV8jOlEmtiE6FQKHQ27aO2vJibPicnR+9rrSxsE3UymQxmZmZQKBSi/6KtLwypTapqANbnz9d+/frh4MGDasuqVauGWrVq6WXN5b14pQ3RYVN0fg5PT0/Vz15eXsjPz0dycrJqWUxMDOzs7FThtzirV6/GW2+9Vabw++9zvzh/XFxcmY5RlZQq4Xl5eem6Dr1T28K8SkyFnJJfIHYJREQkkuDgYFhYWOD7779HYWEhGjRogJCQELHL0ktew9dXaP/SBOiYmBi1n01NTdXCrqenJ9LT05GSkgJn5+KnC9+7dy/eeecdLFy4UNV9wtraWvWNIQAUFBTg6dOnLz33i8fFfcNvLMo1FfLLSKVS2NnZ8WsVIiIiPTFq1CiMGTMGDg4OSEtL0/tvCsRialN84NSmDRs2oG/fvnB2dsb8+fMxZMgQtf69bm5u6NevHyZOnIiNGzfCwcEBFy5cQKtWrVRXx11dXREREQE/Pz9IJBKEhISgWbNmuH37Ni5evIjmzZvjo48+QlFRkdq5r169it27dyMgIAB79uzBgwcP8MYbb+j8OeurMgdgb29vVZ+z/9pm+vTpmDp1arkLIyKiqilH+bTkjQxAVXkeVHlGjRqF/v37IyYmBl27dsXatWs1blTcvn073n//fTRp0gQ5OTlo1qwZjh8/rraNq6srTp8+rQrBixYtwtKlS9GnTx+YmJhgwYIFGleQ+/fvj6NHjyI4OBg1a9bEwYMH4ejoqPPnrK/KHIB37dqFOXPmoF69evD390e1atWQlJSEgwcP4t69e5g9ezZ+//13zJgxAwAYgomICMDz/p0SiRS/xi0UuxStkUikovZbJcPSokULzJkzR22Zo6Oj2g2sDg4O+Prrr4vd/5/bubm54e+//1Y9/vDDD/Hhhx+qHk+aNEltXzMzM+zatatC9VclZQ7AZ8+eRa9evbBp0ya15VOmTMHbb7+NP/74Azt37oStrS02bNjAAExERAAAOzs7hIfvQV5enk7Pk5aWhmnTpmHt2rU6H+JJLpfDzs5Op+cgIu0rcwAODw/H3r17i103ePBgBAQE4Ouvv0bfvn1f+hsMEREZp8oIizKZDADg7OzMyR4AnDx5EgcOHEBBQQFatWqFsWPHwszMTOyy9A5ncjMuZQ7AUqkUV69eRffu3TXWXblyRdWZWyaTacxaQkRERJXn559/xpo1a1RfncfHx+PJkycICQkp8X4eYxIREfHSdYmJiQgMDER4eDhcXV3LfY6oqKhy71tR/xxrmJ4r11TICxYsQH5+Pvr16wcXFxckJyfj8OHDWLp0KYKDgwEAf/zxBxo1aqT1givL0yoyhXBVeR5kGNLT03X69bZMJkNeXh7S09N1fic7v9qmqmD37t1q/UaVSiUuXryI+Ph4VK9eXcTKiMRV5gC8atUqmJiYYOnSpViwYIFquVwux+TJk/Hpp58CeD5zSc+ePbVXaSWRy+WQSiRY+LDqDA4tlUh4kwbpXHp6OgKHBkIo0u/ZyEpLIpUgfE84QzAZtBeT6ZR2OWmysrLC6NGjYWVlJXYppEVlDsCmpqZYvXo1FixYgOvXryM+Ph7u7u5o3Lix2nAanTp10mqhlcXOzg57wsN5kwZRGeXl5UEoEuCxeARMHA17LHDl00zELdyl888BIl1r0qQJIiMj1aZDtrKygoeHh4hVGRZra2sEBQWJXQZpWbnn+nVwcDDYkFsS3qRBVH4mjjYwdbYVuwwiAvDuu+8iISEB9+/fh0QigaWlJUJCQmBubi52aaLjpF3GrVQB+MCBA+jatSvs7e1x4MCBErcfMGBAhQsjIiKiirG1tcXatWvx6NEjmJqaolq1arxBnQilDMCDBg1CZGQkWrduXeK80RKJhNMsEhER6QmZTIb69etzKmSifyhVAH706BHc3d1VPxMREREZsszMTJ0cl10rDEOpArCXl1exPxMRERERGRqp2AUQERGR7uTl5eHSpUs4ffo0UlJSxC7H4GRlZWHbtm3IysoSuxTSolJdAbaxsSn1jDESiQTp6ekVKoqIiIgqLjU1FR988AESEhIglUohlUqxcOFCvPrqq2KXZjAUCgW2b9+O3r17w9raWuxySEtKFYDfe+89tQBcWFiIpUuXYsKECZxJhojU5D6IhzI1Q+wyKkT5TCF2CURaERoaiqSkJBQVFaGoqAgAsHTpUuzevRuWlpYiV0cknlIF4H/PIf0iAAcHB6Nly5a6qIuIDFTimkNil0BE/+/OnTtqk2AAQG5uLuLi4lC3bl2RqtI/fn5+JW4TGBhY4jYRERHaKEclKCgIbm5u+OSTT7R6XKrARBhUMVZWVpgwYQKnVvwHtokmtgkRVYSNjQ0yMjS/kbG15WQ1/zagTniF9j9wv+SATOrEDPgMwCKxsrJCcHAwx2T8B7aJJkNsE9cZb8LE3rADu/KZgleyqUoYPXo0li9fDkEQADwfE7hTp05wdXUVuTIicTEAE5FWmdd2N/ipkAtSDLsPM9ELnTp1glwux6FDh6BUKtGqVSsMHjxY7LKM0sqVK7F27Vo8e/YMLi4u+Pjjj3H79m3cvn0b4eHPrz7n5ubCwsICjx49gre3NwAgLS0Nb7zxBs6ePYuGDRti69ataNy4MQDgyZMnmDlzJiIiIpCfn4/OnTvj0KFDAIBjx45h9uzZiIqKQoMGDRAaGop27doBeH7l1cLCAvHx8Th58iTq1q2L/fv347vvvsPq1ashkUgQGhqKIUOGqLaXy+WIjY0tto4VK1Zg06ZNSExMRI0aNbB06VIMHDhQ9dx37NiBzz77DNHR0XB1dcX69evx8OFDhIWFQSKRYP369WjZsiXOnDlTGf8UACo4DFppR4YgIiIicbRp0wafffYZvvnmGwwfPhwymUzskozOnTt3sHDhQpw8eRKZmZk4d+4cmjZtWqp9d+7ciZkzZ+Lp06fo378/3nzzTSiVShQWFqJfv35wdHTEvXv3kJSUhBkzZgAA7t27h4EDB+Ljjz9GamoqJk+ejN69e6sNgxceHo7Zs2cjLS0N9erVQ/fu3ZGTk4PY2Fh8/vnnCA4ORk5OTol1AECtWrXw66+/Ij09HUuWLMHIkSPx+PFjAMChQ4fw4YcfYvPmzcjIyEBERAS8vLwwadIkDB8+HDNnzkRWVlalhl+glAHYxsYGtra2qj8ODg4AAF9fX7Xltra2sLOz02nBRERERNqWXZBSoT//xcTEBIIg4MaNG8jJyYG7uzsaNWpUqrp69+6Nbt26wdTUFHPmzEF6ejoiIyNx6dIlPHr0CKGhobC1tYWpqSk6d+4MAPj222/Rs2dP9OnTByYmJhg1ahQaNGiAw4cPq47r7++Ptm3bwtTUFEOGDEFSUhLmz58PU1NTDB48GDk5OXjw4EGJdQDAoEGD4OHhAalUikGDBqF+/fq4cOECAGDjxo14//330b59e0gkEtSsWRMNGzYs07+NLpRrGDQiIiKiquR49BSdHbt27drYvn07Pv/8c4wZMwa+vr5YtWpVqfb19PRU/SyTyeDh4YG4uDhIJBJ4enrCzMxMY5+4uDhVF4oXvL29ERcXp3rs5uam+tnS0hLOzs5q3w5YWFioTf7xsjqA510cVq9ejaioKADPJw95cbU5JiYGderUKdVzrUzlGgaNiIiIqCrp5bW+QvuXFKADAgIQEBCA7OxszJ49GxMmTIC/vz+ys7NV2yQkJGjsFxMTo/q5sLAQcXFx8PDwgImJCWJiYlBQUABTU1O1fTw8PPDHH3+oLYuKikL37t3L89T+s47o6GiMHz8eJ0+eRIcOHSCTydCiRQvVjZeenp64f/9+sccU8+Iqp0ImIjJQt27dwvTp09G/f3+EhIQgNTVV7JKIDJalqXOF/vyXO3fu4OTJk8jNzYVcLoe1tbUqKJ49exYPHz6EQqFASEiIxr7Hjx/H6dOnUVBQgE8//RQ2NjZo06YNXnvtNXh5eWHmzJnIzMxEQUEBfv31VwDPw/ZPP/2EY8eOQalUYteuXbh9+zb8/f3L3T4vq0OheD5xkIuLC4DnV4Nv3Lih2u/tt9/GqlWrEBkZCUEQ8PjxY9y+fRsA4OrqiocPH5a7popgACYiMkD379/HBx98gFu3buHJkyeIjIzE9OnTVf8ZEZH+yMvLw7x58+Di4gInJydERkZi48aNeP311zFq1Ci0atUKjRs3Rrdu3TT2HTFiBFauXAkHBwccPHgQBw8ehKmpKWQyGY4cOYL4+Hj4+PjA1dUVn3/+OQCgXr162Lt3L2bNmgUnJyesXbsWP/74I5yd/zuo/5eX1dGoUSN88MEH6NChA1xdXXHlyhW0b99etd+AAQOwdOlSjB07Fra2tvDz80N0dDQAYNy4cbh37x4cHBxKNRmJNkmEF9eoq5B/3uWor2QyGRwcHAxqfFddY5toMqQ2SUpKwqhRo+CxeARMHG3ELqdClE8zEbdwF3bs2IFq1aqJXU6xVq9ejZMnT6qmtwWe32gzY8YMvP766yJWJr7U1FQMHz4cYWFhcHJyErscvWAonyUVCWhllZmZqfrZz89PKxNhREREwMbGsD//ilMVZ6TjOMBEpBVyuRwSqQRxC3eJXYpWSKQSyOVysct4qaysLLXwCwBSqVRt2CKiFxQKBfbu3Ys+ffrA3Nxc7HL0EmdyMy4MwESkFXZ2dgjfE468vDydnSMtLQ3Tpk3D2rVrVcMx6opcLtfrYR2bNWuGCxcuqF3NKygo0IvhhUj/KBQKbNmyBV26dGEALkZERMRL1yUmJiIwMBDh4eGcQa8KYQAmIq3RdWB8MUSPs7Oz0X+13a9fP9y9exenTp2CRCKBRCLB1KlTUbt2bbFLI6IqZtu2bWKXoHUMwEREBkgqleL999/H0KFDkZ+fD3t7ezg6OopdFhGRQWAAJiIyUBKJBF5eXgZxcxORobKyssLo0aNhZWUldimkRQzARERERC9hbW2NoKAgscsgLWMAJiIiIqNTFYcro9LjRBhEREREZFQYgImIiIjIqLALBBERERmdf84Ep03sWmEYeAWYiIiIiIwKAzARGQwrKytMmDCBwxERUaXJysrCtm3bkJWVJXYppEUMwERkMKysrBAcHMwATESVRqFQYPv27VAoFGKXQlrEAExERERERoU3wREREZFR8/PzK3GbwMDAEreJiIjQRjlUCRiAiYiIyOiF11lVof0D77+npUqoMogegAsKCrBx40ZcvXoVmZmZcHZ2RkBAADp37gwAiI6Oxrp16xAVFQVXV1e8/fbbaNasmchVExEREZGhEr0PcGFhIRwdHbF06VKEh4dj8uTJ+PLLL3H79m0olUosWbIErVu3xp49exAYGIjly5fj2bNnYpdNREREVGorV65EzZo1YWNjAx8fH4SHh2PRokVqXStyc3MhkUgQFRWFixcvwtHREfn5+ar1Fy9ehIODA/Ly8sR4ClWK6AHY3Nwcw4cPh5ubGyQSCRo1aoSGDRvi77//xvXr15GXl4dBgwbB1NQUvr6+8PT0xLlz58Qum4iIiKhU7ty5g4ULF+LkyZPIzMzEuXPn0LRp0//cp3Xr1nBxccHRo0dVy8LCwjB48GDI5XJdl1zlid4F4t9yc3Nx//599OvXDzExMfD29oZU+r+c7uPjg+joaBErJCIioqompSBNZ8c2MTGBIAi4ceMGPD094e7uDnd39xL3Gz58OMLCwvDmm2+isLAQ3377Lfbu3auzOo2JXgXgoqIihIaGom7dumjRogXu3r2rMd6nlZUVkpKS1JbFx8cjPj5e9Vgul6N69eqVUnN5yWQytb+JbVIctok6tocmtommFxdNpFIp2+X/sU1KNiV6qc6OXbt2bWzfvh2ff/45xowZA19fX6xaVfJNdyNGjEDjxo2RkZGB33//Hebm5vD19dVZncZEbwKwIAjYsGEDnj59ipCQEEgkElhYWGgMPK1QKGBhYaG2bNOmTQgJCVE9njt3LpYtW1YpdVeUra2t2CXoHbaJJraJOrbH/2RlZWHTpk0YPnw42+X/mZqaYsKECXB3d4e1tbXY5eiFF31GbWxs4ODgIHI1+mm91/wK7V9SgA4ICEBAQACys7Mxe/ZsTJgwAf7+/sjOzlZtk5CQoLaPj48Pmjdvjv379yMiIgLDhg2DRCKpUJ30nF4EYEEQsHHjRjx69AhLlixRBVxPT0989913KCoqUv32+ujRI3Tq1Elt/+DgYPTv31/1WC6XIy1Nd19laINMJoOtrS0yMjJQWFgodjl6gW2iiW2iju2hKSUlBVu2bEHXrl3h7Owsdjl6QSaTITg4GBkZGXr/f0FlyczMVP2tz/1HxQznzqa6O/edO3cQGxuLjh07Qi6Xw9raGjKZDC1atMCyZcvw8OFDuLq6ql3Me2HEiBH46quvcP36dVy4cEFnNRobvQjAmzZtwp07d7B06VJYWlqqljdp0gRmZmY4cOAA/P39ceHCBURHR6NDhw5q+/+7L01KSorB/OdYWFhoMLVWFraJJraJOrbH/xQVFan+Zpuo4+vkf/g6EVdeXh7mzZuHW7duQSaToWXLlti4cSMaNGiAUaNGoVWrVrC3t8fSpUuxbds2tX2HDBmC6dOno3HjxmjUqJE4T6AKEj0AJyUl4ejRozA1NcXYsWNVywcNGoSAgADMnz8f69evR3h4OKpVq4Y5c+bA3t5evIKJiIiIyqBp06YvvXq7du1arF27VvV4+PDhauudnJzUhkIj7RA9AFerVg3ff//9S9d7e3tj5cqVlVgRERERGRvO5GZcRA/ARERERGKKiIh46brExEQEBgYiPDwcrq6ulVgV6ZLoE2EQEREREVUmBmAiIiIiMioMwEREREQvYWVlhdGjR2tMzEWGjX2AiYiIiF7C2toaQUFBYpdBWsYATEREJKL09HTVTG268mJCkMoYJ18ul8POzk6n59AGGxsbsUsgETEAExERiSQ9PR1DA4eiSCiqlPNNmzZN5+eQSqTYE77HIEIwGS8GYCIiIpHk5eWhSCjCYo+pcDQx/MD4VJmOhXHrdH5Fm6iiGICJiIhE5mhiB2dTB7HLIDIaHAWCiIiIiIwKAzARERERGRUGYCIiIiIyKgzARERERGRUGICJiIiIyKgwABMRERGRUeEwaEREOqTrWb44wxcRUdkxABMR6Uh6ejoCA4dCqIRZvipjhi+JRIpwzvBFRFUAAzARkY7k5eVBEIrg8eZimFg5il1OhSgVTxF3aCFn+CKiKoEBmIhIx0ysHGFq4yx2GURE9P8YgImIiET2IDcWqcpnYpdRYc+UmWKXQFQqDMBEREQiW5O4XewSiIwKh0EjIiIiIqPCK8BEREQim+E6GvYmNmKXUWHPlJm8mk0GgQGYiIhIZLXNa8LZ1EHsMiospSBN7BKISoUBmIgMQn5+Pn7++WekpaXBwcEBPXr0gJmZmdhlERGRAWIAJiK9l5+fj/fffx8PHz5ULTtx4gRWrFhhECE4N+kBlFmpYpdRIcrsZ2KXQESkNQzARKT3jh8/jocPH0KpVKqWPXjwAD/99BP69esnYmWlk3hijdglkJ57qkwXuwStqCrPg6o+BmAi0nsJCQkQBEFtmSAISEhIEKkiIu2Qy+WQSqRYGLdO7FK0RiqRQi6Xi10G0X9iACYivefm5gaJRKK2TCKRwM3NTaSKysa1+wyYWNqLXUaFKLOf8Uq2DtjZ2WFP+B6dTzGdlpaGadOmYe3atXBw0O3NdnK5HHZ2djo9B1FFMQATkd7r1asXTp48qdYHuHbt2ujZs6eIVZWeebXaBj8VckFmitglVFmVERZlMhkAwNnZGU5OTjo/H5G+YwAmIr1nZmaGlStX4sSJE6pRILp3724QN8AREZH+YQAmIoNgZmaG/v37w8HBAWlpaSgsLBS7JCIiMlCcCpmIiIiIjAoDMBEREREZFQZgIiIiIjIqDMBEREREZFR4ExwRkY4pFU/FLqHCqsJzICJ6gQGYiEhH5HI5JBIp4g4tFLsUrZBwhi8iqiIYgImIdMTOzg7hOp7lizN8ERGVHQMwEZEO6TowcoYvIqKy401wRERERGRUGICJiIiIyKgwABMRERGRUWEAJiIiIiKjwgBMREREREaFAZiIiIiIjAoDMBEREREZFQZgIiIiIjIqVXIiDDMzM72frlMikQAArKysIAiCyNXoB7aJJraJOraHJqlUigkTJsDFxQVWVlZil6MX+DrRlJ2dDQCwsLCAjY2NyNUQia9KBuD8/Hzk5+eLXcZ/kslkMDMzg0KhQGFhodjl6AW2iSa2iTq2hyaZTIbg4GCkpaUhMzNT7HL0Al8nmnJyclR/6/PrRN8vXlHVwS4QRERERGRUGICJiIiIyKgwABMRERGRUWEAJiIiIiKjwgBMREREREaFAZiIiIiIjAoDMBEREREZFQZgIiIiIjIqDMBERERVnJWVFSZMmMDZAon+HwMwERFRFWdlZYXg4GAGYKL/xwBMREREREaFAZiIiIiIjAoDMBEREREZFQZgIiIiIjIqDMBEREREZFQYgImIiIjIqDAAExEREZFRYQAmIiIiIqPCAExERERERoUBmIiIiIiMCgMwERERERkVBmAiIiIiMioMwERERERkVBiAiYiIiMioMAATERERkVFhACYiIiIio8IATERkoL7++mv07NkTr776Kt544w1cvnxZ7JJID61duxZ9+vRB27ZtERwcjKysLLFLIhIdAzARkQEKDw/Hvn37UFRUBAAoKCjA/PnzERMTI3JlpE9Wr16NY8eOIT8/H0qlEg8fPsT48eNVrxsiY8UATERkgL799ttil3/xxReVXAnps1OnTmkse/bsGa5duyZCNUT6gwGYiMgAKZXKYpdnZ2dXciWkz152pffZs2eVWwiRnmEAJiIyQDVr1ix2eceOHSu5EtJnjo6OxS5v3rx55RZCpGcYgImIDFBoaCjMzc3VljVo0ABDhgwRqSLSR5999hnkcrnassmTJ8Pe3l6cgoj0hInYBRARUdmZmZnhu+++w7FjxxAXF4cWLVqgdevWYpdFesbDwwP79u3D2bNnUVRUhBYtWsDZ2VnssohExwBMRGSgZDIZ/P394eDggLS0NBQWFopdEukhMzMz9OjRg68Ton9gFwgiIiIiMioMwERERERkVBiAiYiIiMioMAATERERkVFhACYiIiIio8IATERERERGhQGYiIiIiIwKAzARERERGRUGYCIiIiIyKgzARERERGRUGICJiIiIyKgwABMRERGRUZEIgiCIXYQxio+Px6ZNmxAcHAx3d3exy9ELbBNNbBN1bA9NbBNNbBNNbBMidbwCLJL4+HiEhIQgPj5e7FL0BttEE9tEHdtDE9tEE9tEE9uESB0DMBEREREZFQZgIiIiIjIqDMAicXd3x0cffcS+WP/ANtHENlHH9tDENtHENtHENiFSx5vgiIiIiMio8AowERERERkVBmCiSjZ58mRcuXKl2HWPHz9G//79SzzGzZs38fbbb2u5MnH8V3v826JFi/Dzzz/rtiCRJScnIyAgAAUFBSVu279/fzx+/LgSqtKN0NBQbN++XewyiMgImYhdgL4rKCjAxo0bcfXqVWRmZsLZ2RkBAQHo3Lmzzs4ZGhoKBwcHjB49WmfnMDb61KZffPFFhY/xyiuvYPPmzVqoRnxlaY9FixbprhA94eLigr1794pdBmmBPn3uEJE6BuASFBYWwtHREUuXLoWrqyv+/vtvLF68GK6urmjQoIHY5RWrsLAQMplM7DKIiIiI9BIDcAnMzc0xfPhw1eNGjRqhYcOG+Pvvv+Hj44MNGzbg0qVLKCwsRLVq1fD+++/D09MTBQUF2LNnD86cOYOcnBy0aNECEydOhLW1NQBgxYoVuHHjBvLy8uDt7Y2JEyfC29sbR48exa+//gqJRIIff/wRPj4++OSTT5CdnY1t27apztW+fXuMHTsWZmZmuH79OlasWIGBAwfi4MGD8PLyQkhIiNbbIjU1FVu3bsW1a9egVCrRuHFjzJs3D3/88Qe2b9+OpKQk1KhRA+PHj1f9chAaGgozMzOkpaXh6tWrcHd3x+zZs3H+/HkcPnwYEokE48ePh6+vr2p7U1NTpKSk4NatW6hRowbeffddeHl5AQAOHDiA48ePIz09HU5OThgxYgTat2+vqvH06dM4cOAAkpOTYWdnh+DgYCQmJhbbpto0fvx4vPHGGzhz5gzi4uLQokULvPvuu9iyZQsiIyNVrw0vLy+MHz8e77zzDlq1aoX8/Hxs2rQJv//+O2xsbNCvXz+140ZERGDPnj1IT0+HlZUV/P394e/vr/o337FjB86fP4/Q0FDVPoWFhXBwcMBXX30FQRBw+PBhHD9+HBkZGahfvz4mT54MZ2dnrT5/bbXH7t27ER0dDRsbG/z222+wtbXFpEmT0Lx5cwDA3Llz4evri27dumHUqFFYvHgx6tatC+D5tzWjR4/GokWLUK9evZe+x4DnrzO5XK56XVarVg0zZsyAj4+PTtvl323Us2dPnDlzBsnJyWjWrBmmTp0KhUKBCRMmYP/+/TAzM4NCocD27dtx6dIl5OTkwNvbGyEhIZDL5WrHe/ToEZYuXYqxY8ciNzcXx44dw8qVK1XrR40ahQ8++ABNmjTB7t27ERUVBblcjosXL8LZ2RnvvPMOGjduXO7nc/DgQRw5cgQKhQK2trYYOXIkHj9+jLi4OHzwwQcAgPz8fAwaNAhbtmyBq6srACArKwshISHFvt9f9pkDgJ87FWz/9PR0LFq0CNu3b4epqSkA4O7du/joo4+wY8cO1TKiKkugMsnJyRFGjBgh/PHHH8KxY8eE6dOnC5mZmUJRUZEQExMjPH36VBAEQfjqq6+EhQsXCmlpaUJubq6wZs0aYeXKlarjnDhxQlAoFEJ+fr7w1VdfCZMnT1atW7NmjbBt2za183788cfCmjVrBIVCIWRmZgoLFy4UduzYIQiCIFy7dk3w9/cXNm/eLOTl5Qm5ublaf95KpVKYPn26sGHDBkGhUAgFBQXC9evXhbi4OGHgwIHCxYsXBaVSKZw6dUoIDAwU0tPTVc8lMDBQ+Pvvv4WCggLh008/FcaPHy/s3r1bKCgoEM6ePSsEBgaqal6zZo0wcOBA4a+//hIKCgqE8PBwYcKECYJSqRQEQRB+++03ISUlRSgsLBR+++03YeDAgUJycrIgCILw+++/CyNHjhRu3bolFBUVCUlJSUJMTMxL21Sbxo0bJ0yfPl1ISUkR0tPTheDgYCE4OFi4fPmyoFQqhU2bNgkLFixQbXv58mVBEARhx44dwnvvvSekpaUJaWlpwvvvvy/069dPEITnr7U333xTuHHjhiAIgpCRkSHcv39fEITn/+YjR47UqCMvL0947733VK+NI0eOCNOnTxcSEhKEgoICYefOncKHH36os3aoaHuEhYUJb731lnD+/HlBqVQKhw4dEsaMGaM67pw5c4SjR48KgiAI69atEzZv3qxad/78eWHixImqxyW9xwIDA4WbN28KSqVS2Lx5szBr1iydtsm/jRs3Tpg4caIQHx8vKBQKISQkRFi9erWQkJAg9OvXT8jLyxMEQRCWLl0qLFu2THj27JmgVCqFmzdvCvn5+YIgCEK/fv2E2NhY4fr160JQUJDw119/CYIgCCdPnhTee+89tfONHDlSuHbtmiAIz9vZ399fOH36tKBUKoWTJ08KgYGBQmZmZrmeS2xsrDBw4EAhNjZWEARBSE1NFaKjo4WwsDDhs88+U22Xl5cn9OvXT0hISBAE4b/f7y/7zBEEgZ87Wmr/iRMnCr///rtq/ebNm4V169bpvF4ifcCb4MqgqKgIoaGhqFu3Llq0aAETExPk5OTg8ePHEAQBNWvWhIODAwRBwPHjxzF+/HjY29tDLpdj+PDhOHfuHAoLCwEA3bp1g6WlJUxNTREYGIiYmBhkZGQUe95nz57h4sWLePvtt2FpaQlra2sEBATgzJkzatuNGjUKZmZmGleGtOHevXtITEzE+PHjYWlpCRMTEzRu3Bhnz55Fy5Yt8dprr0Emk6Fr167w8PBAZGSkat82bdqgQYMGMDExQceOHZGeno6AgADV47y8PCQkJKi2b9WqFZo3bw4TExMMGjQI2dnZuHPnDgCgQ4cOcHJyglQqRYcOHeDh4YG7d+8CAI4dO4a33noLDRs2hEQigYuLC2rWrKn1tniZvn37wsnJCba2tmjZsiVcXV3RqlUryGQy+Pr64sGDBxr7nDlzBgEBAbC3t4e9vT0GDhyotl4mkyE2NhbZ2dmwsbFB7dq1/7OGdevWwdHRESNGjADwvE1GjBgBV1dXmJiYYOjQobh37x6Sk5O198RfojztAQANGjRAu3btVK+nlJSUYt8bXbp0wdmzZ1XvqV9//VWtb35J77E2bdqgUaNGqvM8fPhQyy1Qsj59+sDNzQ2WlpYYOXIkzp49C+EfI1OmpaXhwoULmDx5Muzs7CCTydCoUSO1q3MXLlzAqlWrMGfOHNWV8tKoVasW/Pz8IJPJ8Prrr6NatWq4dOlSuZ7Hiy5XMTExyMvLg6OjIzw9PUu178ve7y/7zAHAz51/KW/7d+7cGb/88guA598cnT17Fl26dNFhpUT6g10gSkkQBGzYsAFPnz5FSEgIJBIJ/Pz88PTpU3zxxRd4+vQp2rVrh7FjxyI/Px95eXn48MMP1Y4hkUjw7Nkz2NvbY9euXTh37hzS09MhlT7/PSQjIwO2trYa505KSkJRURHGjRunVk9RUZHqsY2NjU6C7wspKSlwcXHR+FosNTUV1apVU1vm6uqKp0+fqh47ODiofpbL5bC1tVXroyyXy5GTk6N67OLiovpZJpPByckJqampAJ5/1Xj48GEkJSUBAHJyclShJiUlRdRB3u3t7VU/y+Vyjeedm5ursc/Tp0/Vnu8/29Lc3Bzz58/HwYMHsW3bNtSqVQujR49+ad/zvXv3IiYmBp9++ikkEgkAIDExEZ999pnqNQYAUqlU9e+pS+VpD0Dz9QI8/3f+93vjlVdegZmZGa5du4Z69erh8uXLCAoKAvD8P/OS3mOlrUeX/tkVxcXFBUqlEunp6aplycnJsLKygp2d3UuPcejQIbRr1w716tUr07n//e9frVo1tfdtWbi7u2P69Ok4cuQI1q5di1deeQVjx44tcx3/fL+/CJPFfRXPzx115W3/Ll26YMqUKcjOzsbt27dhZmaGV155pRIqJhIfA3ApCIKAjRs34tGjR1iyZAksLCwAPP+QDAgIQEBAAJ4+fYpPP/0UBw4cwLBhw2BmZobQ0FBVP7d/ioiIwO+//666mS47OxtDhw5VrX8RXl5wcXGBTCb7z35Z/95H25ydnZGcnAylUgkTk/+9bJycnDSu5CUmJqJZs2blPtc/r04WFhYiNTUVTk5OSEpKwvr167F48WI0bNgQMpkM06ZNU10xc3Z2Rnx8fLHH1HX7lJejoyOSk5NRq1YtANC4Mtu8eXM0b94cBQUF+P777/HZZ59h69atGsc5f/48jh49ihUrVsDc3Fy13MXFBZMmTUKTJk10+0REIJFI0KlTJ/zyyy9ITk6Gj48P3NzcADy/sv5f7zF9kZKSovo5OTkZJiYmamHXxcUFCoXipb8cA8CsWbPw5ZdfIiwsTHW/grm5OfLy8lTbKJVKZGVlqe3379dacnKyWr/WsurYsaPqyur27duxfv16tGnTRq2OtLQ0jf1e9n6XSqXFfuYA/NwpTnna383NDT4+Pjh37hyuX7+OTp066e1nJZG2sQtEKWzatAl37txBSEgILC0tVcuvXbuGR48eobCwEObm5jA1NYVUKoVUKkWvXr3w9ddfq65IPHv2TPX1XE5ODkxNTWFjY4P8/Hzs2rVL7Xz29vZqX805ODjg1VdfxZYtW5CVlQVBEJCcnIw//vijEp79c3Xr1oWLiwu+/vprZGdnQ6lU4saNG+jYsSP+/PNP/PHHHygsLERERATi4uLQtm3bcp/rzz//xNWrV6FUKvHdd9/BwsIC9erVU12hexEQTp8+jZiYGNV+PXv2xKFDh3D79m0IgoCUlBTVGKn/blN90bFjR+zbtw/p6elIT0/Hd999p1qXlpaGyMhI5OTkwMTEBBYWFmpXcl94+PAhvvjiC8yePVvjql7v3r2xc+dO1X/QWVlZ+O2333T7pCpRly5dEBkZiRMnTqh9dVvSe0xfHD16FAkJCcjOzkZYWBg6duyoFkAcHBzQunVrbNiwARkZGSgsLMTff/+tNkawvb09li5divPnz2P37t0AnndviIuLw927d1FQUICwsDC1b4yA5zfN/frrr6r3bUJCAl599dVyPY/Hjx/jypUryM/Ph4mJCczNzSGVSuHj44ObN28iISEBubm5CA8P19j3Ze/3l33mAODnzr9UpP27dOmCEydO4MKFC+z+QEaFV4BLkJSUhKNHj8LU1FTtK6VBgwbB1dUVX375JVJTUyGXy9GyZUsMGDAAADB69Gjs27cPs2fPRnp6Ouzs7ODr64u2bdvCz88Pf/75J8aMGQMbGxu1USYAoHv37vj0008xdOhQ+Pj4YNmyZZg+fTp27dqFadOmISsrC87OzujVqxdatWpVKe0gk8mwYMECfPXVV3j77bdRVFSEJk2aYM6cOZg1axa2bduG5ORkVK9eHQsWLHjp1arS6NKlCw4dOoRly5ahRo0amDt3LkxMTODp6Ym33noLs2bNgkQiQdeuXdW6A7Rv3x5ZWVlYt24dUlJSYG9vj+DgYNSoUaPYNtUHgYGB2LhxIyZOnAhbW1v069cPt2/fBvD8m4fvv/8ea9euhSAIqFGjBt577z2NY0RGRkKhUGDhwoWqZS4uLvjiiy/Qt29fSKVSLFmyBKmpqbCyskLz5s3RsWPHSnuOuuTp6Ql3d3c8ePAACxYsUC0v6T2mL/z8/LBs2TIkJyejadOmmDBhArKzs9W2mT59OrZu3YqpU6ciPz8f3t7eGuMhOzg4YOnSpaoREoYNG4bhw4dj8eLFkMlkGDJkiMZ7snXr1rh8+TI2bNgAZ2dnzJkzBzY2NuV6HgUFBdi1axdiY2NVwWvSpEmoUaMGunbtihkzZsDKygojRozAqVOn1PZ92fsdQLGfOY0bN4aHhwc/d/6hIu3fsWNHfPXVV/D09Cx1v22iqkAi/POOCyKRceB4Mhb/HP6tsu3evVtteCxjx88dIuPDLhBEREREZFQYgImIiIjIqLALBBEREREZFV4BJiIiIiKjwgBMREREREaFAZiIiIiIjAoDMBEREREZFQZgIiIiIjIqDMBEREREZFQYgImMyPfff48ePXrA0dERZmZmqFWrFoKDg3H37l2dn/v69esYNmwYqlevDjMzM7i6umLAgAFqU7N26dIFffv21XktRERk3BiAiYzE7Nmz4e/vDzs7O2zZsgUnT57EwoULcevWLQwZMkSn5z58+DBee+013L17F8uWLcPJkyexYcMGWFhYoEePHkhPT9fp+YmIiP6JE2EQGYGjR4+iT58+WLBgARYvXqyx/ocffqjQlVdBEJCfnw+5XK6xLiEhAfXr18drr72Go0ePwszMTG19REQE2rRpA0tLS3Tp0gXW1tb44Ycfyl0LERFRSXgFmMgIrFq1Cq6urliwYEGx6/8ZfletWoXXXnsNdnZ2qFatGvr27avRRSIoKAiNGzfG0aNH0axZM8jlchw5cqTYY2/ZsgUZGRlYs2aNRvgFAD8/P1haWha77+3btxEYGIiaNWvC0tISjRo1wqpVq1BUVKS23SeffII6derA3NwcLi4u6NatGx49elTq9Xl5eZg7dy68vLwgl8vRsGFD7N69W+0cN2/exBtvvAEnJydYWlqifv36+Oyzz4qtm4iI9JuJ2AUQkW4plUqcO3cOAwcOhKmpaYnbP378GFOmTIGXlxcyMjKwceNGtG/fHnfv3oWjo6NquydPnuDdd9/F/Pnz4enpCU9Pz2KP9+uvv6J69epo0qRJmWuPi4tD/fr1MXz4cNjY2ODKlSv46KOPkJWVhY8++ggAsGPHDtWV7Xbt2iE9PR1nz55FRkZGqdYDQEBAAH777Td89NFHaNiwIY4ePYoRI0bAwcEBvXv3BgD069cPrq6u+Prrr2FnZ4f79+/j8ePHZX5ORESkBwQiqtISEhIEAMLs2bPLvK9SqRSys7MFa2trYdOmTarlo0ePFgAIkZGRJR6jQYMGQtu2bUt1vs6dOwt9+vQpdl1RUZFQUFAgLFu2THB3d1ctnzx5stCyZcuXHrOk9adPnxYACD/99JPa8iFDhgivvfaaIAiCkJycLAAQvv/++1I9DyIi0m/sAkFkJCQSSam2i4yMRPfu3eHk5AQTExNYWloiKytLoxuEk5MT2rRpo9Vz/1tubi4++ugj1KlTB3K5HKamppg3bx7i4+ORlZUFAGjZsiX++usvzJw5E7/99hsKCgrUjlHS+p9//hmOjo7o2rUrlEql6k/37t3x119/obCwEE5OTvDy8sKcOXOwfft2XvklIjJwDMBEVZyTkxPMzc0RExNT4rYxMTHo0aMHCgsLsWnTJpw7dw6XLl1CtWrVkJubq7atq6trqc7v4eFRqnMXZ9asWVixYgUmTJiAo0eP4tKlS5g/fz4AqOoJCgrCmjVr8NNPP8HX1xcuLi6YNm0acnJySrU+JSUFT58+hampqdqf8ePHQ6lUIj4+HhKJBD///DMaNmyIyZMno2bNmnj11Vdx5syZcj0vIiISF/sAE1VxJiYm6NChA06dOgWlUgkTk5e/7Y8fP46srCwcOHAA9vb2AJ73IX769KnGtqW9qtulSxecOnUKN2/exCuvvFKm2vft24fg4GDMmjVLtezHH39U20YqlWLatGmYNm0a4uLiEB4ejtmzZ8PZ2RkLFiwocb2joyNcXFxw9OjRYmuoVq0aAKBevXrYt28fCgoKcP78ecydOxf9+vVDXFwcrK2ty/S8iIhIXLwCTGQEZs6ciYSEBCxbtqzY9S/CX05ODiQSidrNcnv37oVSqSz3ucePHw9bW1vMmDFDo/sBAPzyyy/Izs4udt+cnBy1kSMKCwsRHh7+0nN5eHjgvffeQ9OmTfH333+Xan23bt2QnJwMMzMzvPrqqxp//j1yhampKTp37ozZs2cjIyMDT548KVU7EBGR/uAVYCIj8MYbb+DDDz/EokWLcOvWLQQGBsLZ2RmPHj3C1q1bkZ6ejjfeeANdu3YFAIwZMwbBwcG4efMmVq1apboaXB5ubm7YsWMHAgIC0KFDB0yePBk+Pj5ISUnBoUOHEBYWhtTU1GL37d69O7Zs2YJGjRrB2dkZGzZsQF5ento2wcHBcHBwQNu2beHg4IBz587h6tWrmDRpUqnWd+/eHf369UOvXr3w4YcfomnTplAoFLh58ybu37+Pr776CteuXcN7772HIUOGoHbt2khPT8fy5cvh7e2N2rVrl7ttiIhIJGLfhUdElefQoUNCt27dBHt7e8HU1FTw9vYWgoODhXv37qm22bFjh+Dj4yOYm5sLbdu2FS5evCh4eXkJkydPVm0zevRo4ZVXXinTua9evSoMHTpUcHNzE0xMTAQXFxfhrbfeEk6fPq3a5t+jQCQkJAhvvvmmYGNjI7i6ugqzZs0StmzZIgAQkpOTBUEQhG3btgkdOnQQHB0dBXNzc6FRo0bC559/rjpGSesFQRDy8vKEkJAQoW7duoKZmZng4uIi+Pn5CTt27BAEQRASExOFESNGCD4+PoJcLheqVasmDBw4ULh7926Z2oCIiPQDZ4IjIiIiIqPCPsBEREREZFQYgImIiIjIqDAAExEREZFRYQAmIiIiIqPCAExERERERoUBmIiIiIiMCgMwERERERkVBmAiIiIiMioMwERERERkVBiAiYiIiMioMAATERERkVH5PzLKcEqFEb/SAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ggplot(mpg) +\n",
" aes(x = 'class', y = 'hwy', fill = 'class') +\n",
" geom_boxplot() +\n",
" labs(x = 'Car Classes', y = 'Highway Milage')\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ggplot(mpg) +\n",
" aes(x = 'cty', y = 'hwy', fill = 'class') +\n",
" geom_point(alpha = .7)\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAsAAAAGuCAYAAACeObBYAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAA9hAAAPYQGoP6dpAABM0klEQVR4nO3deXxTZaLG8SdN2wDpTqGFSllVQBRFBQSL1ouAooCIUARKBRFcZhGXkQEZEFRmRARBB2ZcWETqArgLV7CCFwXUUVwQRKAtstVC6RK6N/cPLrnGspQ2yUlzft/Ph4/NyUnyNH2JD6fvOa/F6XQ6BQAAAJhEkNEBAAAAAF+iAAMAAMBUKMAAAAAwFQowAAAATIUCDAAAAFOhAAMAAMBUKMAAAAAwFQowAAAATCXY6ADekJuba3SEaiwWixo2bKji4mKx9ojnhIaGqqyszOgYAYNx6nmMUc9ijHqHv4zT2NhYoyPAJDgC7CNBQUFq1KiRgoJ4yz3JZrMZHSGgME49jzHqWYxR72Ccwmz4BAEAAICpUIABAABgKhRgAAAAmAoFGAAAAKZCAQYAAICpWJwBeB2ZgoICvzuj1WKxuC4zE4BvuWGCg4NVUVFhdIyAwTj1PMaoZzFGvcNfxqm//b8bgSsgrwNcVlbmF9cz/C2r1arQ0FA5HA5VVlYaHSdghIeHq7Cw0OgYAYNx6nmMUc9ijHqHv4xTCjB8hSkQAAAAMBUKMAAAAEyFAgwAAABToQADAADAVCjAAAAAMJWAvAqEvzt69Kief/557dq1S40bN9aYMWPUqVMno2MBCDCVlZV65ZVX9OmnnyooKEj9+/fXgAEDZLFYjI4GAIaiAPtYcXGx7r//fh05ckQVFRXKycnRX/7yF82ZM0cXXnih0fEABJD58+fro48+cl0ubNGiRSopKdGwYcMMTgYAxmIKhI9t2bJFubm5rguOO51OVVVV6e233zY4GYBAcvz4ca1Zs8btWrlVVVV67bXXDEwFAP6BAuxjx48fl9VqddvmdDrlcDgMSgQgEBUXF59ye2lpKSuoATA9CrCPdejQQeXl5W7brFarLrnkEoMSAQhE0dHRatKkiYKC/v9j3mq1qn379swBBmB6FGAfa926tf785z8rKCjI9T+hpKQkDRo0yNhgAAJKUFCQpk+froiICNe2+Ph4PfLIIwamAgD/wElwBujbt68uv/xy7du3T9HR0WrZsiVHZAB4XJs2bfTyyy9r9+7dCgoKUrt27RQaGmp0LAAwHAXYILGxsYqNjTU6BoAA17BhQy6zCAC/wxQIAAAAmAoFGAAAAKZCAQYAAICpUIABAABgKhRgAAAAmAoFGAAAAKZCAQYAAICpUIABAABgKhRgAAAAmAoFGAAAAKZCAQYAAICpUIABAABgKhRgAAAAmAoFGAAAAKZCAQYAAICpUIABAABgKhRgAAAAmAoFGAAAAKZCAQYAAICpUIABAABgKhRgAAAAmAoFGAAAAKZCAQYAAICpBBsdAADgPceOHdP27dtltVrVqVMn2e12oyMBgOEowAAQoH788UdNnjxZpaWlcjqdioqK0lNPPaWEhASjowGAoZgCAQABqLKyUtOnT1dxcbEqKytVVVWl/Px8zZo1y+hoAGA4CjAABKC8vDwdO3ZMTqfTta2yslK7d+922wYAZkQBBoAAdLq5vo0aNZLFYvFxGgDwLxRgAAhADRs21K233iqr1eraZrFYNHr0aANTAYB/4CQ4AAhQY8eOVZMmTbRx40ZZrVbdeOONSk5ONjoWABiOAgwAASooKEiDBg3SoEGDjI4CAH6FKRAAAAAwFb86AlxQUKC7775bzZo10+zZsyVJWVlZmj9/vjIzMxUXF6e77rpLnTt3NjgpAAAA6iu/OgL88ssvq0WLFq7bFRUVmjFjhrp27aoVK1YoJSVFTz75pI4dO2ZcSAAAANRrflOAv//+ex04cEC9e/d2bfvuu+9UWlqqIUOGKCQkRElJSUpMTNSmTZsMTAoAAID6zC8KcHl5uRYtWqQJEya4XZ8yOztbrVq1UlDQ/8ds06aNsrKyjIgJAACAAOAXc4BXrlypzp07q3Xr1tqzZ49re3FxcbWLudvtduXk5LhtO3jwoA4ePOi6bbPZ1Lx5c++GPkcnr8X522tyou4sFgvvqQcxTj2PMepZjFHvYJzCbAwvwAcOHND69es1b968avc1bNhQDofDbZvD4VDDhg3dti1atEjTp0933f7rX/+qxx9/3DuB6ygiIsLoCAEnNDTU6AgBh3HqWYxRz2OMeh7jFGZieAH+8ccflZeXpwkTJkiSysrKVFZWptTUVN1zzz3KyspSVVWVaxrE3r171atXL7fnGD9+vAYMGOC6bbPZlJeX57tvogasVqsiIiJUUFCgyspKo+MEDLvdXu0fSag9xqnnMUY9izHqHf4yTqOjo42OAJMwvABfffXV6tKli+v2p59+qoyMDE2dOlXh4eEKDQ3VqlWrNHDgQG3ZskVZWVnq2bOn23M0a9ZMzZo1c93Ozc312w/GyspKv81WHzmdTt5PL2Cceg5j1DsYo57FOIXZGF6AbTabbDab67bdbpfVanX9K3DKlClasGCB0tPT1bRpU02aNElRUVEGpQUAAEB9Z3E6nU6jQ3habm6u0RGqOVnq8/Ly+Fe2B4WHh6uwsNDoGAGDcep5jFHPYox6h7+M09jYWKMjwCT84jJoAAAAgK9QgAEAAGAqFGAAAACYCgUYAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYCgUYAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYCgUYAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYCgUYAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYCgUYAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYSrDRAcwqOztbmZmZio6O1kUXXaSgIP4tAgAA4AsUYAOsWrVK//73v2W1WlVZWakuXbpo2rRpCgkJMToaAABAwOOwo4/99NNP+ve//y2n06mKigo5nU5t27ZNK1euNDoaAACAKVCAfWzXrl3VjvRWVFTohx9+MCgRAACAuVCAfSw8PFyVlZVu24KCghQVFWVMIAAAAJOhAPtY9+7ddd555yk4+MT066CgIFmtVt16660GJwMAAL+VmZkpi8WiN9980+go8DBOgvOx0NBQPf3003r55Zf1008/KTY2VqNGjVKrVq2MjgYAAGAKFGADhIWF6Q9/+IPRMQAAAEyJKRAAAMDUPv/8c/Xp00cREREKDw9Xt27d9NFHH51y36VLl+rqq69WTEyMoqOjde2112rr1q1u+/zyyy8aOnSo4uLi1KBBA7Vu3Vr3339/je+H93EEGAAAmNamTZt03XXXqXv37nrhhRcUFRWlL7/8UtnZ2Tr//POr7Z+ZmanU1FS1bdtWZWVlWrFihXr16qVvv/1WF1xwgSQpNTVVBw4c0LPPPqu4uDhlZ2fryy+/dD3H2e6H91mcTqfT6BCelpuba3SEaqxWq6Kjo5WXl1ftKhCovfDwcBUWFhodI2AwTj2PMepZjFHv8JdxGhsb6/PX7Nmzp44dO6Zvv/1WVqvV7b7MzEy1bt1ab7zxhoYMGVLtsVVVVaqqqlKnTp00ePBgPfHEE5JOTHV88sknTzvd8Wz3w/uYAgEAAEzp+PHj2rx5s0aPHl2t/J7Ojz/+qFtuuUVxcXGyWq0KCQnRzp079dNPP7n26dKli2bPnq1//vOf+vnnn6s9x9nuh/dRgAEAgCnl5eWpqqpKzZs3r9H+hYWF6tOnj7KysjRnzhx9+umn+uKLL9S5c2eVlJS49nvttdf0X//1X5o8ebLOP/98tW/fXqtWrarx/fA+CjAAADClqKgoBQUF6cCBAzXa//PPP9cvv/yil19+WSNGjNDVV1+tK664Qvn5+W77NWvWTC+99JJyc3O1detWXXjhhRo2bJj27NlTo/vhfRRgAAhwDodDy5Ytk8PhMDoK4FfsdruuuuoqLV26tEZzyouLiyWduKb/SZ999pkyMzNPuX9QUJCuvPJKzZw5UxUVFdWmO5ztfngPV4EAgADncDi0fPly9e3bV3a73eg4gF+ZNWuWrrvuOvXu3Vv33HOPoqOj9Z///EexsbG67rrr3Pbt3r27wsLCdO+99+qRRx7R/v379be//U0JCQmuffLz89W3b1+NGjVKF154ocrKyjR//nxFRUWpS5cuZ70fvsERYAAAYFpXX321PvnkE1ksFqWlpWnw4MFavXq1WrZsWW3fuLg4vfHGG8rJydHAgQM1d+5cLVq0SO3atXPt06BBA1188cWaP3++BgwYoFGjRqmqqkr//d//rdjY2LPeD9/gMmg+wqV7vMNfLt0TKBinnucPYzQnJ0epqalaunSpmjZtamiWumKMeoc/jFPJmMugwZw4AgwAAABToQADAADAVCjAAAAAMBWuAmGQLVu26Ouvv1azZs3Uv39/BQfzowAAwFe8Nec5PDzcK88Lz6J1GWDatGnavHmz6/by5cu1ePFiNWrUyMBUAAAA5sAUCB9bt26dW/mVpIKCAs2cOdOgRAAA4HSKioq0ePFiFRUVGR0FHkQB9rEvv/zylNt3797t4yQAAOBsHA6HlixZwkqKASYgp0CEhobKZrMZHcONxWKRJDVp0uSU94eFhTFvqBaCg4N53zzo5Di12+0KwEuEG8IfxujJ/3Hb7XbDs9QVY9Q7/GGcAr4UkAW4rKxMZWVlRsdwY7VaFRoaqmHDhmnlypUqLy93u3/s2LF+cRHy+sZfLt4eKE6OU4fDwSIDHuIPY/RkAXY4HIZnqSvGqHf4wziV5HcHrxC4ArIA+7OwsDC98MILevTRR3X48GE1atRId999t3r06GF0NAAATCk5Ofms+6SkpJx1n4yMjFNuLy0t1b333qv169crNzdXiYmJmjx5sm6//fZzzlpTaWlpio+P16xZs7z2GvUZBdgAcXFx+te//mV0DAAA8H/SO7Wr0+NTvv/5tPdVVFSoefPmWr9+vVq3bq1Nmzapf//+at26ta666qo6va63VFRUBPQlWjkJDgAAwIvsdrsee+wxtWnTRhaLRVdffbV69uypzz77TCUlJUpLS1Pjxo0VGRmpzp07a/v27ZJOTOn861//qtatWys2Nla333678vLyXM87fPhwNWvWTJGRkUpKStJ3330nSXr++ee1fPlyzZkzR2FhYerVq5ekE1edmjBhgs477zzFx8frvvvuU0lJiSTpk08+UXx8vObOnauEhATddNNNPn6XfIsCDAAA4EMOh0NffvmlOnXqpCVLlui7777T7t27dezYMaWnpysmJkaSNGnSJP3nP//Rli1btG/fPoWGhuq+++5zPU+fPn20c+dO5eTkqGvXrho+fLgk6Z577tGIESM0ceJEFRUVaePGjZKkO+64QyUlJdq+fbt27NihXbt2acaMGa7ny83N1d69e7V7926tXr3ah++I71GAAQCA6eWWldfpT01VVVUpLS1NV155pfr06aPQ0FAVFhZqx44dcjqd6tChg+Lj4+V0OrVw4UI988wzatq0qRo2bKgZM2bojTfecJ0AescddygiIkI2m01Tp07VDz/8oCNHjpzydXNycvTOO+9o/vz5ioiIUFRUlKZMmaIVK1a49nE6nXryySfVoEEDNWzYsG5vqJ8L3MkdAAAANXTfT1lefw2n06kJEybowIEDWrt2rSwWi0aNGqUDBw7orrvu0oEDBzR48GDNnj1bJSUlOn78eLU5wkFBQTp06JDi4+M1efJkvfHGG/r1118VFHTimGZubq4aN25c7bUzMzNVWVmpFi1auOX57dVUYmNjTbMqLQUYAACY3oILWtbp8Wcr0E6nU/fee6+++eYbrVu3TmFhYZJOXIN58uTJmjx5sg4ePKjbbrtNTz31lKZPn66GDRvqm2++UatWrao937Jly7Rq1Sp99NFHat26tQoKChQVFeW6PvbJa2aflJiYqODgYOXk5Cg0NPSUGX//mEDGFAgAAGB6saEhdfpzNvfdd582b96stWvXKiIiwrU9IyND27ZtU2VlpcLCwmSz2WS1WhUUFKTx48fr/vvv18GDByWdmMbw9ttvS5IKCwtls9nUuHFjFRcXa8qUKW6vFxcXpz179rhux8fHq3///vrTn/6kvLw8OZ1O7du3T2vWrPHE21fvUIABAAC8KCsrS88//7y2b9+uFi1aKCwsTGFhYXriiSd06NAhDRs2TJGRkWrbtq0SEhL00EMPSZJmzZqlzp07KykpSeHh4erRo4e2bt0qSUpNTVWbNm2UkJCgDh066Morr3R7zbFjx2rXrl2Kjo52Xed4yZIlCgkJ0aWXXqrIyEj17dtXP/30k2/fDD9hcQbgWpK5ublGR6jGarUqOjpaeXl5rF7kQf6yelGgYJx6nj+M0ZycHKWmpmrp0qVq2rSpoVnqijHqHf4wTqUTc1B95bffb3JyskeuA5yRkcGS0vUER4ABAABgKpwEBwAATO9MK7kh8FCAAQCAqWVkZJz2vsOHDyslJUXp6emKi4vzYSp4E1MgAAAAYCoUYAAAgNOw2+0aPXq07Ha70VHgQUyBAAAAOI2wsDClpaUZHQMeRgEGAACmw+XKzI0pEAAAADAVCjAAAABMhSkQBnI4HFq1apUGDx7M5HoAAHzIWyvfMbWifuAIsIEcDoeWL18uh8NhdBQAAADToAADAACcRlFRkRYvXqyioiKjo8CDKMAAAACn4XA4tGTJEn5bG2AowAAAADAVToIDAACmlpycfNZ9UlJSzrpPRkaGJ+LAByjAAADA9NJfbFenx6eM/dlDSfxPWlqa4uPjNWvWLKOjeAxTIAAAAGAqFGAAAAAvO3DggFJSUhQXF6fo6GgNGjRIkvThhx+qc+fOioyMVLdu3fT555+7HpOWlqa7775bgwYNUlhYmC677DLt3r1b//jHPxQfH69mzZrptddec9t//PjxuvHGGxUeHq6uXbvq+++/d93/1FNPqV27dgoPD1eHDh20cuVKt4xLly5Vp06dFB4ernbt2mnNmjV6/vnntXz5cs2ZM0dhYWHq1auXd98oH6EAAwAAeFFlZaVuvvlmxcTEaNeuXcrJydH999+vXbt26dZbb9UTTzyhI0eO6N5779UNN9yg3Nxc12PT09P1yCOPKC8vTxdccIGuv/56FRcXa9++fXr22Wc1fvx4FRcXu/ZftmyZJk6cqKNHj2rAgAEaNGiQKioqJEmtW7fWhg0blJ+frxkzZmjUqFH65ZdfJElvvfWWHn74Yf3rX/9SQUGBMjIy1LJlS91zzz0aMWKEJk6cqKKiIm3cuNG3b56XUICBc+BwOLRs2TIuhwMAASb3SHmd/pzJF198ob1792ru3LmKiIhQSEiIrrnmGr322mvq27ev+vfvr+DgYKWmpqp9+/Z6++23XY8dOHCgunfvrpCQEA0bNkw5OTmaMmWKQkJCdNttt6m4uFi7d+927X/DDTeod+/eCgkJ0aRJk5Sfn6/NmzdLkoYMGaKEhAQFBQVpyJAhuvDCC7VlyxZJ0sKFC/Xggw+qR48eslgsatGihTp06OCFd9o/cBIccA5Ort7Xt29flq8GgABy38NZXnvu7OxsJSYmKjQ01G37/v371apVK7dtrVq10v79+1234+PjXV83atRIsbGxslqtrm0NGzZ0W6QjMTHR9bXValVCQoLr+ZYuXao5c+YoMzNT0olFPk4ebc7Ozla7dnU7EbA+oQADAADTW/CPlnV6/JkKdGJiorKzs1VeXq6QkBDX9oSEBH311Vdu+2ZmZur666+vdY7s7GzX15WVldq/f78SEhKUlZWlO++8U+vWrVPPnj1ltVp12WWXyel0ujL+/POpr2RhsVhqncdfMQUCAACYXmzjkDr9OZMrr7xSLVu21MSJE1VYWKjy8nJt2LBBQ4cO1dq1a/Xhhx+qoqJCr7zyinbs2KGBAwfW+vtYs2aNPv74Y5WXl+vvf/+7wsPD1a1bN9fUvSZNmkg6cTT4tyfI3XXXXXr66ae1efNmOZ1O/fLLL9qxY4ckKS4uTnv27Kl1Jn9EAQYAAPAiq9Wqd999VwcPHlSbNm0UFxenZ599VhdccIFef/11/eUvf1Hjxo01b948vf/++4qNja31a40cOVKzZ89WdHS0Vq9erdWrVyskJEQdO3bUQw89pJ49eyouLk7ffPONevTo4Xrc4MGDNXPmTI0ZM0YRERFKTk5WVtaJo9pjx47Vrl27FB0dXaNFQ+oDpkAAAAB42Xnnnac333yz2vabbrpJN9100ykfs3jxYrfb/fr1c83fPenYsWNut6Ojo7Vo0aJTPt/jjz+uxx9//LQZx44dq7Fjx1bbfv755+vrr78+7ePqIwowAAAwvUBeyQ3VUYABAICpZWRknPa+w4cPKyUlRenp6YqLi/NhKngTBRgAACAA/H7KBE6Pk+AAAABgKhRgAACA07Db7Ro9ejSLHwUYpkAAAACcRlhYmNLS0oyOAQ+jAAMAANMJDw83OgIMxBQIAAAAmAoFGAAAAKbCFAgA8JD8/HyVlpa6bXM4HHI4HAYlOiE3N9ftv/7GZrMpMjLS6BgwmcLCQq88L1Mr6ge/KMALFizQl19+qeLiYoWHh6tPnz4aOnSoJCkrK0vz589XZmam4uLidNddd6lz584GJwYAd/n5+UpJGS6ns8roKKc1ceJEoyOcksUSpPT0FZRgAD7jFwV4wIABGjdunGw2m3799VdNmzZNzZs3V/fu3TVjxgz16dNHTz75pDZv3qwnn3xSCxcuVFRUlNGxAcCltLRUTmeVrkl4TA2DY4yOU28UVxzVhv1Tqx05B/xFUVGR3nzzTQ0ZMkRhYWFGx4GH+EUBTkxMdLttsVh04MABfffddyotLdWQIUMUFBSkpKQkvfvuu9q0aZP69+9vUFoAOL2GwTFqFBJrdAwAHuJwOLRkyRLdcMMNFOAA4hcFWJKWLFmi9957T6WlpWratKmSk5P12WefqVWrVgoK+v9z9dq0aaOsrCwDkwIAAKA+85sCPHr0aKWmpurnn3/W5s2bZbfbVVxcXG3lFbvdrpycHLdtBw8e1MGDB123bTabmjdv7pPcNWW1Wt3++/ttv92OmrNYLD597wL9Z3aqcYqa4T2rm5r+nWKMeoevP0v9TXJy8ln3SUlJOes+GRkZnoijiy66SPPmzVPv3r2r3bdjxw516NBBTqfzjM/x6aefKi0tTbt37/ZIpkDjNwVYOvEX8Pzzz9dXX32lFStWKDY2ttrZ0w6HQw0bNnTbtmjRIk2fPt11+69//asef/xxn2Q+VxEREa6vT855i4yMVHR0tFGR6r3Q0FCfvZZZfma/HaeoGeaw1s25/p1ijHqeLz9L/dF16e3q9PiPU372UBLphx9+qPNzJCUlUX7PwK8K8ElVVVU6ePCgunTpopUrV6qqqso1DWLv3r3q1auX2/7jx4/XgAEDXLdtNpvy8vJ8mvlsrFarIiIiVFBQoMrKSkknzho/+V+bzWZkvHrLbrf79BJTgf4zO9U4Rc2cHBuonZr+nWKMeoevP0tPJ5APLMC/GF6Ai4qK9MUXX6hbt25q0KCBduzYoQ8//FDDhg3TxRdfrNDQUK1atUoDBw7Uli1blJWVpZ49e7o9R7NmzdSsWTPX7dzcXL/9YKysrHRl++1//TWvv3M6nT5978zyMwv0788beL/q5lzHHGPUs3z9WWpGrVq10r333qsVK1Zo586d6tu3r1588UX96U9/0ltvvaWWLVtqxYoV6tSpk1q1aqWFCxeqX79+Kikp0X333adVq1apcePG+tOf/uT2vMuWLdP06dN1+PBhRUVFaeLEibr//vv1ySefKCUlRYcOHdLKlSs1evRo12MqKioUHx+vzMxMOZ1OPfPMM1q4cKFyc3PVvXt3/etf/9J5553n67fIp/xiJbh169Zp7NixGj58uObPn69Bgwapf//+Cg4O1pQpU7R582YNHz5cr776qiZNmsQl0AAAQL2Tnp6ud999V9nZ2fr+++/VrVs33X777crLy1NycvIpr9U9Y8YMfffdd9qxY4c2bdqk5cuXu+5zOBwaM2aMXn75ZRUWFmrbtm269tprqz3HrbfeqqKiIhUVFSk3N1eXXnqpRowYIenEWgzLly/Xf//3f+vw4cPq0qVLjeY713eGHwEOCws743zdVq1aafbs2T5MBAAAzKYkt9zrr/GHP/xBCQkJkqR+/frpp59+Ur9+/SSdOMnut9M5T1qxYoXmzZunpk2bSpIeeeQRDRo0yHV/SEiItm/frs6dOysmJkYxMWe+DvnYsWPVvHlzzZw5U5L0z3/+U08//bRatWolSZo2bZrsdruys7OrXaY2kBhegAEAAIz22X3ev8RqfHy86+tGjRpVu11UVFTtMQcOHHAroi1btnR9bbfb9c4772j27Nl6+OGHdemll2rWrFm66qqrTvn6jz/+uLZv367/+Z//kcVikSRlZmZq2LBhbpecDQoK0i+//EIBBgAACGQ9FrQ8+05n4K0C3bx5c2VnZ6tz586SpOzsbLf7e/furd69e6usrExz587V0KFDtW/fvmrPs2rVKj333HPasmWL2yVmExMTtXDhwlNOnQhktZoD/Mgjj2jXrl2ezgIAAGCIBrEhdfrjLcOGDdMTTzyhX3/9Vb/++qv+/ve/u+47fPiw3nrrLRUVFSkkJETh4eGnvJ7zN998o3HjxmnVqlVq0aKF23133323Jk+e7LpkWl5enl5//XWvfT/+olYFeNmyZWrfvr2SkpK0ZMkSHT9+3NO5AAAATG/q1Knq0KGDLrjgAvXo0UPDhw933VdVVaW5c+fqvPPOU1RUlBYvXqxXX3212nO89dZbOnbsmHr37q2wsDCFhYXpoosuknRiXnJKSopuuukmRUREqHPnzlq7dq3Pvj+jWJxnW0rkFKqqqvThhx/q5Zdf1rvvvqsGDRpo2LBhuuOOO04778SXcnNzjY5QjdVqVXR0tPLy8lyXmsnJyVFqaqqWLl3qmtyOcxMeHq7CwkKfvV6g/8xONU5RMyfHRr+WC9QoJNboOPXG8fJcrcm6r8Z/pxij3uHrz9LTiY313d+d336/ycnJHlkIIyMjQ+Hh4XWNBh+o1RzgoKAg9e/fX/3799eRI0e0bNkyLV68WC+++KLat2+vMWPGaNSoUQFZEPLz82u14pPValVpaany8/NdH9oni7qnCrvNZlNkZKRHnstI5/IeOxwOn1683dM/M08LlDEAAL7myZXc4P9qdQT4VL799lv98Y9/1MaNGyWduCxHSkqKZs+erSZNmnjiJWrMW+UkPz9fw4enqKrKI2+ZxwUFWbRiRXq9LkD5+flKGZ4ip5++x/7OEmRReh3GAEfXao8jwLXDEWD/YPYjwGdy+PBhpaSkKD09XXFxcWfdnyPA9UOdrgKRn5+vV199VS+++KK+/vprde7cWc8995xuueUWffDBB5o5c6ZSUlK0fv16T+U1VGlpqaqqnHpsUoJiov3rAhpH8yo09cn9tTo67U9KS0vlrHLq8scSZIvxr/fY35UerdBXU+v/GAAAwNtq1TDWr1+vl156SW+99ZaCg4M1fPhwLVq0SJdffrlrnzFjxqhFixa6+eabPRbWX8REByu2sffO+IRkiwn26lm1AADUhN1u1+jRo90uHYb6r1YF+Prrr1e3bt00f/58paSkqFGjRqfc74ILLnA7WxEAAKA+CQsLU1pamtEx4GG1KsDffvutOnXqdNb9WrZsqZdffrk2LwEAAAB4Ra0K8M6dOxUfH+/TyeoAAACewslq5larAjx8+HBVVlbqggsuUK9evdSrVy8lJSUF9JrRAAAACAy1KsB5eXnatGmTPv30U23cuFFLly5VWVmZWrRooV69eumaa67R2LFjPZ0VAADAI7x12TeOLNcPtVoK2W63q0+fPpoxY4Y2bNig/Px8ffDBB2rdurVeeeUV3XXXXZ7OCQAAAHhErS+06nA4tGnTJm3YsEEbN27UF198oQYNGuiGG27QNddc48mMAAAAgMfUqgB369ZNX3/9taKiopSUlKRbb71V8+bN06WXXqqgoFodVAYAAPA7RUVFevPNNzVkyBCFhYUZHQceUqu2+sUXXyg4OFh9+vTRDTfcoBtvvFFdunSh/AIAgIDicDi0ZMkSORwOo6PAg2rVWH/99VctX75cTZo00T//+U917NhRzZo107Bhw/Tcc8/pu+++83ROAAAAU7jooou0bt26Gu17ww036MUXX/RyosBTqykQjRs31i233KJbbrlF0okzKT/55BPNmTNHf/zjH2WxWFRRUeHRoAAAAN6QnJx81n1SUlLOuk9GRoYn4uiHH36o8b4ffvihR17TbGp9ElxZWZm2bNmijRs3auPGjfr8889VVFSkpk2bqlevXp7MCAAA4FXt0v9Sp8f/nPJ3DyWBL9RqCkSvXr0UFRWla665RosWLVLTpk319NNP68cff9ShQ4f0+uuvezonAABAvdWqVSs99dRT6tKli+x2uwYPHqy8vDylpqYqIiJCF198sb7//nvXvmvWrJEkTZs2TbfeeqvGjRunyMhItWvXzm16xLXXXquFCxeqtLRU0dHR+uKLL1z3lZaWKiYmRlu3bpV0YiGzZs2aKTIyUklJSW5TVtPS0nTPPfdo8ODBCg8P1yWXXKJvvvnGB++MMWpVgC+44AItXLhQe/bsUXZ2tpYtW6Zx48bpwgsv9HQ+AACAgJCenq53331X2dnZ+v7779WtWzfdfvvtysvLU3JysiZOnHjKx7333nu68cYbdfToUd17770aM2ZMtX1sNptuu+02LV++3LXtgw8+UJMmTdS1a1dJUp8+fbRz507l5OSoa9euGj58uNtzvPrqq5o4caKOHTum6667Tn/84x89+N37l1pNgXjhhRdUWVmpLVu2aOvWrSopKam2T2pqap3DAQDgr4qLi/Xdd9+pvLxcHTp0UExMjNGRUAfluQVef40//OEPSkhIkCT169dPP/30k/r16yfpxBzjAQMGnPJxV111leu8q9GjR2vixInKzc1VbGys234jR47U0KFD9fTTT8tqtWr58uUaMWKE6/477rjD9fXUqVM1Z84cHTlyRI0bN5YkDRo0SFdffbWkEz3uhRde8NB37n9qVYC//vpr3XLLLdq3b5+cTme1+y0WCwUYABCwDh8+rIceeki5ubmyWCwKCQnRY489pksuucToaKilrPv+6fXXiI+Pd33dqFGjareLiopq9DjpxPWJf1+Ak5KS1KBBA61fv17dunXT+++/r3/84x+SpMrKSk2ePFlvvPGGfv31V9ela3Nzc10F+PevE8iXfqtVAZ4wYYIiIyO1ZMkSdezYUaGhoZ7O5dd2Z5boyFH/usrFsQL/ylNXBbtLVHIksL4nbys7xvsF+MpTTz2lI0eOqKqqStKJcjF9+nStWLHCdP9PDBQtF9xdp8f7okCfjcVi0e23365XXnlF+/bt02WXXaY2bdpIOjG9YdWqVfroo4/UunVrFRQUKCoq6pQHMs2gVgX4hx9+0BtvvGHaJY+fef6w0REC3vfP8B4D8F+7du1SZWWl2zaHw6GcnBydd955BqVCXYTERhgdwSNGjhypbt26adeuXRo1apRre2FhoWw2mxo3bqzi4mJNmTLFwJTGq/VJcAUF3p8rAwCAP7Lb7afcHh4e7uMkgLuOHTvq/PPP11dffaVhw4a5tqempqpNmzZKSEhQhw4ddOWVVxqY0ni1OgL8zDPP6E9/+pM6d+6s9u3bezqT37v/njhFRdT6EspecaygIqCOTHe6P06hUf71Hvu7smMVHDkHfCQtLU3PPPOM69fHVqtVffv2VWRkpMHJ4K8yMzPdbs+aNcvt9qWXXuq6qMBv9502bZrbfg0aNHCbtvDJJ59Ue63//Oc/1baFhYXp7bffdtv22/O1Fi9e7HZf+/btA3p6RI0bxsUXXyyLxeK6ffDgQXXq1EnNmzdXVFSU274Wi0Xbtm3zWEh/07ZVA8U2DjE6hpvcI+VGR/CoiLYN1CDWv95jf1eSG1hjAPBnffr0UcOGDfXee++prKxMPXr00ODBg42OBaCGalyAL7/8crcCDACAmSUlJSkpKcnoGPAQVnIzlxoX4N8fGgcAAAgEGRkZp73v8OHDSklJUXp6uuLi4nyYCt5Uq5PgAAAAgPqKAgwAAHAadrtdo0ePPu2VP1A/cZo9AADnyOl0as2aNXr77bdVXl6uHj16KDU1VSEhnLwbaMLCwpSWlmZ0DHgYBRgAPCivZLeKK44YHaPeKKk4ZnSEWnnnnXe0aNEi10pwq1evVk5OjiZNmmRwMtQU12w2NwpwLRzN878lZ/0xU12U+tlS0/UB75l/2HL4GaMjwAdWrFjhKr+SVFFRoQ0bNmjChAmKjo42MFnN5Ofnq7S01HXb4XDI4XDU+PE2m41rHqNeowCfA5vNpqAgi6Y+ud/oKKcUFGSRzWYzOkad2Gw2WYIs+mqqf77H/s4SAGMAqA9OLljwe8XFxX5fgPPz8zU8JUVVdVjkIMhi0Yr0dEow6i0K8DmIjIzUihXpbv9qrimr1arIyEjl5+e71o/Pzc3VxIkTNWfOHMXGxtY5XyD8izwyMlLp5/Ae2+32czpqUVee/pl5WiCMgfquW9z9ahAcZXSMeqOk4li9PGp+0UUXadu2baqoOPGbF4vFosjISDVt2tTgZGdXWlqqKqdTj7VJUEzwudeAoxUVmrpnf63+X+hPCgsLvfK8TK2oHyjA56i25cJqtSo6Olo2m81VgE+KjY2tFx+avnIu73F4eLjXPsTOhJ8ZTie6QVs1CvG/fxz5q+PluUZHqJUHHnhAkyZNUlZWliwWi8LCwvTYY48puBaF0igxwcGKDeWkPZhT/fmbCgCAn4iJidGCBQu0e/dulZeXq02bNlwmK0AVFRXpzTff1JAhQxQWFmZ0HHgI1wEGAKAWQkJC1L59e1188cWU3wDmcDi0ZMkSn063g/dRgAEAAGAqFGAAAACDZGdnKywsrEYnFVosFu3YscMHqQIfc4ABAKiFo0eP6oMPPlBpaamSk5PVpk0boyOhlpKTk8+6T0pKyln3ycjIOOfXTkxMVFFR0Tk/DnVDAQYA4Bz98MMPeuihh1yLYbzxxhsaP368brnlFoOTobbaTUiv0+N/Xnj2ggz/wRQIAADO0aOPPuq2EpwkLVq0qF6dKLW7uEQ7HcXn/Gd38akXAcGZtWrVSk8++aQuvvhiRUZG6tZbb9WxY8eUmZkpi8XiWlwlPz9fEyZM0HnnnafIyEglJSWpuLi42vNt27ZNLVu21JtvvqnFixere/fubvfHx8frk08+kSRNmzZNgwcP1siRIxUeHq6LLrpIGzZs8Pr37M84AgwAwDk6fvz4Kbf/+OOPuuKKK3ycpnae2XfY6Aims3jxYn344Ydq0qSJhg8frj/+8Y967LHH3PYZPXq0LBaLvv76a8XExGjz5s0KCnI/Xrlx40bdfvvtWrx4sXr37q3Fixef9bXfeecdvfzyy1q8eLGWL1+ugQMHau/evX6/cqG3BGQBDg0N9bvlYC0Wi6QTK5c5/2/5yZNHCux2OyvH1FJwcLBP37tA/5mdapyiZurTkT9/VNO/U/4yRi0Wyylfv02bNn7/2eCpsRpon4Plhd5flOW+++5zzRV//PHH1bVrV02bNs11/6FDh/T2228rJydHTZo0kST17NnT7TnefvttzZ8/X6tWrVLXrl1r/NqdO3fWqFGjJJ0o2XPnztX777+vkSNH1vG7qp8CsgCXlZWprKzM6BhurFarQkND5XA4XCvBnfwQcjgchqxmFgh8vRJcoP/MTjVOUTMU4Lqp6d8pfxmjffr00dq1a922JSYmKiYmxu8/G06O1ftbxCmqFivXHauo0DP7Dnvlc9DIg1dZy+/z+mskJia6vm7ZsqXKysr066+/urZlZ2crMjLSVX5PZc6cObrlllvOqfz+/rVPvv7+/fvP6TkCSUAWYAAAvOn++++X3W7X2rVrVVVVpU6dOunRRx81OtY5aduwQa2WQs4tK/dCGuO1HLGgTo+vSYHOzs52+zokJMSt7CYmJio/P1+5ubmKjT31kuqvv/667r77bk2dOtU1fSIsLMxtWk55ebmOHj162tc+eXvIkCFn/8YCFAUYAIBauOuuu3TXXXcZHQMeEhJ+6sLpSc8//7xuuukmxcbGasqUKRo2bJjb/N74+HjdfPPNmjBhghYuXKjo6Ght2bJFl19+uevoeFxcnDIyMpScnCyLxaLp06erc+fO2rFjh7Zu3apLL71Uf/vb36qdpLlt2za9+uqrGjp0qFasWKHdu3frxhtv9Pr37K8owADgQcUVR8++E1x4v2AmqampGjBggLKzs3Xddddp3rx5KigocNtnyZIlevDBB3XxxReruLhYnTt31po1a9z2iYuL08cff+wqwdOmTdPMmTPVv39/BQcH69FHH612BHnAgAH64IMPNH78eLVo0UKrV69WTEyM179nf0UBBgAPsNlssliCtGH/VKOj1DsWS5DfnbgMeMNll12mSZMmuW2LiYlxO6EyOjpaL7744ikf/9v94uPj9eOPP7puP/zww3r44Yddt++55x63x4aGhuqVV16pU/5AQgEGAA+IjIxUevqKasuZ2u12w0+Qy83N1cSJEzVnzpzTzis0ks1mU2RkpNExAJgIBRgAPORUJc7XVyo5k9jYWDVt2tToGAHB6XRqzZo1evvtt1VeXq4ePXooNTVVISHnflIZ/AMruZkLBRgAgHP0zjvvaNGiRa4TjVavXq2cnJxqv95G/ZCRkXHa+w4fPqyUlBSlp6crLi6u1q+RmZlZ68fW1W+vNYwTKMABLj8/v9qvZP0Fv/YEUF+tWLHC7Sz7iooKbdiwQRMmTKg3K2sdrajw6eMAf0IBDmD5+flKGZ4iZ5V/ruhlCbIofUU6JRhAvVNSUnLK7cXFxX5fgG02m4IsFk3dU/tFEIIsFtOcuGi32zV69GjZ7Xajo8CDKMABrLS0VM4qpxIeG6ngGP9arrLiaKH2T33Fb49OA8CZXHTRRdq2bZsq/u9oqMViUWRkZL2YYx0ZGakV6elun7+/PVmzJidNmuk3eGFhYUpLSzM6BjyMAmwCwTHhComNMDoGAASMBx54QJMmTVJWVpYsFovCwsL02GOPKbgWSwsb4ffl9VQnawb6SZPh4f51YAi+VT/+pgIA4EdiYmK0YMEC7d69W+Xl5WrTpg2/IgfqEQowAAC1EBISovbt2xsdA0AtUIABAIDpeOv63EytqB+CjA4AAAAA+BIFGACAWiguLtbWrVu1adMmHT161Og48JKioiItXrxYRUVFRkeBBzEFAgCAc3T48GE99NBDys3NlcViUUhIiB577DFdcsklRkeDhzkcDi1ZskQ33HCDwsLCjI4DD6EAm0DJ7oOqOFJgdAw3FcccRkcAgFp76qmndOTIEddqcJWVlZo+fbpWrFih0NBQg9MBOBsKsAkcfuYtoyMAQEDZtWuXKisr3bY5HA7l5OTovPPOMygVais5Ofms+6SkpJx1n4yMDE/EcUlLS1N8fLxmzZrl0ecFBdhQdrtdI0aM4NqR9Qg/MwDSic+CU61kGQhXADDr59zgdul1evyqn89ekOHOyIJPATaQ3W7XqFGjvP46cfcPUnCUf32QVRxz1Msj0776mQHwb2lpaXrmmWfkdDolSVarVX379g2I5YH5nIMZUIBNoEHbZn63FHJ5rn/NSQaAc9GnTx81bNhQ7733nsrKytSjRw8NHjzY6FjwY7Nnz9a8efN07NgxNWnSRE888YR27NihHTt2KD39xNHnkpISNWzYUHv37lWrVq0kSXl5ebrxxhv16aefqkOHDnrppZfUqVMnSdKBAwc0ceJEZWRkqKysTNdcc43eeustSdKHH36oRx55RJmZmWrfvr3mzp2rq666StKJf8A1bNhQBw8e1Lp163T++efrzTff1MqVKzVnzhxZLBbNnTtXw4YNc+1vs9m0b9++U+Z46qmntGjRIh0+fFjnnXeeZs6cqVtvvdX1vS9dulT/+Mc/lJWVpbi4OC1YsEB79uzR8uXLZbFYtGDBAnXp0kUbN270xY9CEpdBAwCgVpKSkvT3v/9dzzzzjG677TZZrVajI8FP7dy5U1OnTtW6detUWFioTZs21fiKIcuWLdPEiRN19OhRDRgwQIMGDVJFRYUqKyt18803KyYmRrt27VJOTo7uv/9+SSfmqN9666164okndOTIEd1777264YYblJub63re9PR0PfLII8rLy9MFF1yg66+/XsXFxdq3b5+effZZjR8/XsXFxWfNIUmtW7fWhg0blJ+frxkzZmjUqFH65ZdfJElvvfWWHn74Yf3rX/9SQUGBMjIy1LJlS91zzz0aMWKEJk6cqKKiIp+WX4kCDAAAoOPluXX6cybBwcFyOp36/vvvVVxcrGbNmqljx441ynXDDTeod+/eCgkJ0aRJk5Sfn6/Nmzfriy++0N69ezV37lxFREQoJCRE11xzjSTptddeU9++fdW/f38FBwcrNTVV7du319tvv+163oEDB6p79+4KCQnRsGHDlJOToylTpigkJES33XabiouLtXv37rPmkKQhQ4YoISFBQUFBGjJkiC688EJt2bJFkrRw4UI9+OCD6tGjhywWi1q0aKEOHTqc08/GG5gCAQAATG9N1n1ee+62bdtqyZIlevbZZ3XHHXcoKSlJTz/9dI0em5iY6PraarUqISFB+/fvl8ViUWJi4ikvu7d//37XFIqTWrVqpf3797tux8fHu75u1KiRYmNj3X6L0bBhQ7fFP06XQzoxxWHOnDnKzMyUdGLxkJNHm7Ozs9WuXbsafa++RAEGAACm16/lgjo9/mwFeujQoRo6dKiOHz+uRx55ROPGjdPAgQN1/Phx1z6HDh2q9rjs7GzX15WVldq/f78SEhIUHBys7OxslZeXKyQkxO0xCQkJ+uqrr9y2ZWZm6vrrr6/Nt3bGHFlZWbrzzju1bt069ezZU1arVZdddpnrBNHExET9/PPPp3xOi8VS6zx1xRQIAIZyOByaO3eu7rjjDt1333367LPPjI4EwIQahcTW6c+Z7Ny5U+vWrVNJSYlsNpvCwsJcRfHTTz/Vnj175HA4NH369GqPXbNmjT7++GOVl5fr73//u8LDw9WtWzddeeWVatmypSZOnKjCwkKVl5drw4YNkk6U7bVr1+rDDz9URUWFXnnlFe3YsUMDBw6s9ftzuhwOx4mFrZo0aSLpxNHg77//3vW4u+66S08//bQ2b94sp9OpX375RTt27JAkxcXFac+ePbXOVBcUYACGqays1OTJk7Vu3TodPHhQP//8s2bMmKHPP//c6GgA4DGlpaWaPHmymjRposaNG2vz5s1auHCh/uu//kupqam6/PLL1alTJ/Xu3bvaY0eOHKnZs2crOjpaq1ev1urVqxUSEiKr1ap3331XBw8eVJs2bRQXF6dnn31WknTBBRfo9ddf11/+8hc1btxY8+bN0/vvv6/Y2DMX9TM5XY6OHTvqoYceUs+ePRUXF6dvvvlGPXr0cD1u8ODBmjlzpsaMGaOIiAglJycrKytLkjR27Fjt2rVL0dHRNVqMxJMszpPHqAPIb89y9BdWq1XR0dHKy8urtnqQt+Tk5Cg1NVUJj41UcIx/XZy94mih9k99RUuXLlXTpk1r/Tzh4eEqLCz0YDJz8/U43bFjh/785z9X237hhRdq3rx5Xn99X/CHMXrys6Cuf9/8gRGfpWbgD+NUUp0K2rn67febnJzskYUwMjIyAmIxlN8LxBXpmAMcwGw2myxBFu2f+orRUU7JEmSRzWYzOgYMdPz4cVksFv3+3+Enf6UG+DuHw6FVq1Zp8ODBpls5LdCwkpu5UIADWGRkpNJXpJ9yuc5zlZubq4kTJ2rOnDke+xe6zWYLiFWTUHtt2rRRSEiIysrKXNuCg4N16aWXGhcKOAcOh0PLly9X3759KcD1WEZGxmnvO3z4sFJSUpSenq64uDgfpoI3UYADnKcLZmxsbL3/FSr8R1RUlB599FHNmDFD5eXlcjqd6tixo+68806jowEA/s/ixYuNjuBxFGAAhrryyiu1bNkyZWZmqlGjRmrbtq2Cgjg/FwDgPRRgAIaLjIxU586djY4BANXY7XaNHj2aKS4BhgIMAABwGmFhYUpLSzM6BjyMAgwAAEwnEC9Xhppjoh0AAABMhQIMAAAAU2EKBAAAMB1vrXzH1Ir6gSPAAAAAMBUKMGrEbrdrxIgRXAYGAGAqRUVFWrx4sYqKioyOAg+iAKNG7Ha7Ro0aRQEGAJiKw+HQkiVL5HA4jI4CD6IAAwAAwFQ4CQ4AAJhacnLyWfdJSUk56z4ZGRmeiAMfoAADAADTS2/3dJ0en/LzAx5KAl8wvACXl5dr4cKF2rZtmwoLCxUbG6uhQ4fqmmuukSRlZWVp/vz5yszMVFxcnO666y517tzZ4NQAAACorwyfA1xZWamYmBjNnDlT6enpuvfee/XPf/5TO3bsUEVFhWbMmKGuXbtqxYoVSklJ0ZNPPqljx44ZHRsAAKDGZs+erRYtWig8PFxt2rRRenq6pk2b5ja1oqSkRBaLRZmZmdq6datiYmJUVlbmun/r1q2Kjo5WaWmpEd9CQDG8ADdo0EAjRoxQfHy8LBaLOnbsqA4dOujHH3/Ud999p9LSUg0ZMkQhISFKSkpSYmKiNm3aZHRsAACAGtm5c6emTp2qdevWqbCwUJs2bdIll1xyxsd07dpVTZo00QcffODatnz5ct12222y2WzejhzwDJ8C8XslJSX6+eefdfPNNys7O1utWrVSUND/9/Q2bdooKyvLwIQAACDQ5Jbnee25g4OD5XQ69f333ysxMVHNmjVTs2bNzvq4ESNGaPny5Ro0aJAqKyv12muv6fXXX/daTjPxqwJcVVWluXPn6vzzz9dll12mn376qdp1Z+12u3Jycty2HTx4UAcPHnTdttlsat68uU8y15TVanX7LzzDYrHwnnoQ49Tz/GGM/vbnanSWuvK3MRoo760/jFOj3Zc102vP3bZtWy1ZskTPPvus7rjjDiUlJenpp89+0t3IkSPVqVMnFRQU6PPPP1eDBg2UlJTktZxm4jcF2Ol06vnnn9fRo0c1ffp0WSwWNWzYsNqFpx0Ohxo2bOi2bdGiRZo+fbrr9l//+lc9/vjjPsl9riIiIoyOEHBCQ0ONjhBwjBinRUVFWr58uUaMGKGwsDCfv743GT1GQ0JCNG7cOCUkJATMe+svn6Un52JGRkYqOjra4DR1Y/Q4NdqCllPq9PizFeihQ4dq6NChOn78uB555BGNGzdOAwcO1PHjx137HDp0yO0xbdq00aWXXqo333xTGRkZuv3222WxWOqUEyf4RQF2Op1auHCh9u7dqxkzZrgKbmJiolauXKmqqirXNIi9e/eqV69ebo8fP368BgwY4Lpts9mUl+e9X2XUhtVqVUREhAoKClRZWWl0nIBht9tZnceDjBynOTk5+ve//61rr71WTZs29elre5O/jNGhQ4eqvLzc7z4bz5W/fZbm5+e7/luf52X6yzg18h8RsSHee+2dO3dq3759uvrqq2Wz2RQWFiar1arLLrtMjz/+uPbs2aO4uDi3g3knjRw5Ui+88IK+++47bdmyxWsZzcYvCvCiRYu0c+dOzZw5U40aNXJtv/jiixUaGqpVq1Zp4MCB2rJli7KystSzZ0+3x/9+Lk1ubq5ffDCeSmVlpd9mq4+cTifvpxcYMU5Pvl6g/R1hjHqHv4yTQBm3jFPvKi0t1eTJk7V9+3ZZrVZ16dJFCxcuVPv27ZWamqrLL79cUVFRmjlzphYvXuz22GHDhunPf/6zOnXqpI4dOxrzDQQgwwtwTk6OPvjgA4WEhGjMmDGu7UOGDNHQoUM1ZcoULViwQOnp6WratKkmTZqkqKgo4wIDAACcg0suueS0R2/nzZunefPmuW6PGDHC7f7GjRu7XQoNnmF4AW7atKneeeed097fqlUrzZ4924eJAACA2bCSm7kYXoABAACMlJGRcdr7Dh8+rJSUFKWnpysuLs6HqeBNhi+EAQAAAPgSBRgAAACmQgEGAAA4DbvdrtGjR1dbmAv1G3OAAQAATiMsLExpaWlGx4CHUYABAH4vPz9fpaWlslqtKi0tVX5+vl9ctzY3N9ftv/7GZrMpMjLS6Bh+KTw83OgIMBAFGADg1/Lz8zU8ZbiqnFVGRzmtiRMnGh3hlIIsQVqRvoISDPwOBRgA4NdKS0tV5azSYwl/UEwwRa6mjlbka+r++SotLTU6CuB3KMAAgHohJjhSsSHRRscAEAC4CgQAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU+EyaIDJnFxR61SMXGWLFbUAAL5CAQZMJD8/Xykpw+VkRa1zZrEEKZ0VtQAgIFCAARMpLS2V01mlhEGPKdgeY3SceqPCcVT735rKiloAECAowIAJBdtjFBIea3QMAAAMQQEGANQLu0v26UjFMaNj1BvHKgqNjgD4LQowAKBeeObwEqMjAAgQXAYNAAAApsIRYABAvXB/3GhFBYcbHaPeOFZRyFFz4DQowACAeqFtgxaKDYk2Oka9kVueZ3QEwG9RgHFWZWVlWrNmjQ4dOqT4+Hj169dPoaGhRscCAACoFQowzqisrEwPPvig9uzZI6fTKYvFovXr1+upp56iBNdjJTm7VVF0xOgY9UbF8WNGRwAAeBAFGGe0Zs0a7dmzRxUVFa5tu3fv1tq1a3XzzTcbmAx1cfijZ4yOAJyzoxX5RkeoV3i/gNOjAOOMDh06JKfT6bbN6XTq0KFDBiUCYDY2m01BliBN3T/f6Cj1TpAlSDabzegYgN+hAOOM4uPjZbFY3LZZLBbFx8cblAieEHf9/QpuFGV0jHqj4vgxjpobKDIyUivSV6i0tFRWq1WRkZHKz89XZWWl0dGUm5uriRMnas6cOYqN9b/VFW02myIjI42OAfgdCjDOqF+/flq3bp3bHOC2bduqb9++RkdDHTRo2palkM9BeWGu0RFM72SJs1qtio6Ols1m84sCfFJsbKyaNm1qdAwANUQBxhmFhoZq9uzZWrt2resqEH379uUEOAAAUG9RgHFWoaGhnPAGAAACBkshAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU+EkOMCEKhxHjY5Qr/B+AUBgoQADJmKz2WSxBGn/W1ONjlLvWFhRCwACBgUYMJHIyEil/9+KWqdi5CpbrKgFAPAVCjBgMmcqcf6wyhYragEAvI2T4AAAAGAqFGAAAACYCgUYAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYCgUYAAAApkIBBgAAgKkE5EIYoaGhfrdkqcVikSTZ7XY5nU6D0wSO4OBghYeHGx0jYBg5Ti0Wi8aMGaO4uDiFhYX59LW9iTHqWf72WepwOCSdyFOff86MU5hNQBbgsrIylZWVGR3DjdVqVWhoqBwOh2ErbAWi8PBwFRYWGh0jYBg9TocOHSqn0xlQP1PGqGcZPUZ/72QBdjgc9frn7C/j1N8OXiFwMQUCAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYCgUYAAAApkIBBgAAgKlQgAEAAGAqFGAAAACYCgUYAIBastvtGjFihOx2u9FRAJyDgFwJDgAAX7Db7Ro1apTRMQCcI44AAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjAAAABMhQIMAAAAUwk2OgAAc8vOztaf//xnHT9+XBaLRT169NCjjz5qdCzgjKqqqvT0009r48aNqqqqUrt27fTkk0+qUaNGRkcDUAMcAQZgmOLiYo0fP17Hjx+XJDmdTm3atEkzZ840OBlwZk888YTWr1+v8vJyVVZWaufOnRo/frzRsQDUEAUYgGHS09PldDqrbd+0aZMBaYCaO9UY/fXXX7V3714D0gA4VxRgAIbJy8s75fZTlWLAn5xujB47dsy3QQDUCgUYgGGuv/76U24PCwvzcRLg3ERERFTbZrFY1KFDBwPSADhXFGAAhrn44ot13XXXuW0LCgrSggULDEoE1MysWbMUEhLitu2BBx5QgwYNDEoE4FxYnAH4u8bc3FyjI1RjtVoVHR2tvLw8VVZWGh0nYISHh6uwsNDoGAHDqHG6fft2ffzxx4qJidGQIUMUGhrqs9f2NsaoZ/nTZ+nx48e1ceNGlZaWqkePHmrSpImheerCX8ZpbGys0RFgElwGDYDhOnbsqI4dOxodAzgnjRo1Ur9+/YyOAaAWmAIBAAAAU6EAAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjAAAABMxeJ0Op1GhzCDgwcPatGiRRo/fryaNWtmdBzglBin8HeMUQCewBFgHzl48KCmT5+ugwcPGh0FOC3GKfwdYxSAJ1CAAQAAYCoUYAAAAJgKBdhHmjVrpr/97W/MWYNfY5zC3zFGAXgCJ8EBAADAVDgCDAAAAFOhAAMAAMBUgo0OEOjmzp2rjRs3Kjj4/9/q5557Tk2aNDEwFXBqn332mV599VUdPnxYERERGjt2rHr06GF0LEBDhw51u11WVqYrrrhCU6ZMMSgRgPqMAuwDAwcO1OjRo42OAZzRtm3b9MILL+jBBx9U+/btVVBQoJKSEqNjAZKk119/3fV1ZWWlxo4dq549exqYCEB9RgEGIEl69dVXNWzYMHXs2FGSFBUVZWwg4DT+85//qKSkhN9OAKg1CrAPrF27VmvXrlVsbKxuvvlmXX/99UZHAtxUVlZq165d6tq1qyZMmKCSkhJddtlluvPOO2W3242OB7hZv369kpKSZLPZjI4CoJ7iJDgvu/nmm7Vw4UItW7ZMd955pxYvXqzPPvvM6FiAm2PHjqmiokIbN27UzJkztWDBAh07dkwvvPCC0dEANwUFBdq6dat69+5tdBQA9RgF2Mvatm2riIgIWa1WXXLJJerfv782bdpkdCzAzckjaf3791dsbKzCwsJ022236YsvvjA4GeDuk08+UbNmzXThhRcaHQVAPUYB9jGLxSLWHoG/CQsLU2xsrCwWi9FRgDNav349R38B1BkF2Mv+53/+R8ePH1dVVZW2b9+u999/X927dzc6FlBNnz599P777ysvL0/Hjx/XypUr1bVrV6NjAS67d+9Wdna2rr32WqOjAKjnOAnOy9577z0999xzqqqqUmxsrEaOHKlevXoZHQuo5rbbblNBQYHuvfdeWa1WXXHFFbrzzjuNjgW4rFu3TldccYWio6ONjgKgnrM4+X08AAAATIQpEAAAADAVCjAAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjAAAABMhQIMAAAAU6EAAwAAwFQowAAAADAVCjCAeiMzM1MWi0Vvvvmm0VEAAPUYBRgAAACmQgEGAACAqVCAAfjU559/rj59+igiIkLh4eHq1q2bPvroI11++eUaMWJEtf3/8pe/qHnz5qqsrDQgLQAgEFGAAfjMpk2bdO2116q0tFQvvPCCVq5cqYEDByo7O1vjxo3T6tWrlZ+f79q/srJSy5Yt0+jRo2W1Wg1MDgAIJMFGBwBgHg8//LDatWunjz/+2FVo+/TpI0kqKCjQAw88oFdffVV33323JOmDDz7QwYMHNWbMGMMyAwACD0eAAfjE8ePHtXnz5tMezY2IiNCwYcP00ksvuba9/PLLSkpK0vnnn+/LqACAAEcBBuATeXl5qqqqUvPmzU+7z7hx4/Tll1/q22+/1a+//qr33nuPo78AAI9jCgQAn4iKilJQUJAOHDhw2n2uuuoqXXTRRXrppZeUmJioBg0a6LbbbvNhSgCAGXAEGIBP2O12XXXVVVq6dOkZr+gwbtw4LV++XC+++KKGDRsmu93uw5QAADOgAAPwmVmzZumnn35S79699cYbb2jdunX6xz/+4Tbvd9SoUSosLNT27ds1duxYA9MCAAIVBRiAz1x99dX65JNPZLFYlJaWpsGDB2v16tVq2bKla5+YmBhdc8016tixo7p3725gWgBAoLI4nU6n0SEA4KSCggIlJCRo2rRpeuCBB4yOAwAIQJwEB8AvnJz28Pzzz8tiseiOO+4wOhIAIEBRgAH4ha+++krJyclq0aKFlixZopiYGKMjAQACFFMgAAAAYCqcBAcAAABToQADAADAVCjAAAAAMBUKMAAAAEyFAgwAAABToQADAADAVCjAAAAAMBUKMAAAAEzlfwFNnZPgHN5UkAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
"ggplot(mpg) +\n",
"aes(x = 'cyl', y = 'hwy', fill = 'class') +\n",
" geom_boxplot()\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## More Complex Graphs"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Visualize four-dimensions (4-D)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ggplot(mtcars, aes('wt','mpg', color='factor(gear)')) +\n",
" geom_point() +\n",
" facet_wrap('~cyl')+\n",
" theme_bw()+\n",
" labs(x='Weight', y='Miles/gallon')+\n",
" scale_color_discrete(name='Forward Gear Number (Factor)')\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ggplot(mtcars, aes('wt','mpg',color='factor(gear)'))+\n",
" geom_point()+\n",
" geom_smooth(method=\"lm\")+\n",
" theme_bw()\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Visualize 5-D \n",
" - x\n",
" - y\n",
" - facet\n",
" - color\n",
" - size"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAArcAAAHCCAYAAAD1muGYAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAA9hAAAPYQGoP6dpAABo9UlEQVR4nO3dd3wUdf4/8NfMlvTeKRGlSRQRglIFEUTKlyJKFYGIwnmg8tNDDw+FCJzcyd2hFIE7DVZQT/Qs2ACpBhUEGyUgnSQkJKSX3Z2Z3x8hKyFtd7O7Mzt5PX3kgdmdmc/7vZvP5J3PfuYzgqIoCoiIiIiIdEBUOwAiIiIiIndhcUtEREREusHiloiIiIh0g8UtEREREekGi1siIiIi0g0Wt0RERESkGyxuiYiIiEg3WNwSERERkW4Y1Q7AUwoKClBWVqZ2GETkBoGBgQgPD6/zOfZ1In1pqL8TOUKXxW1BQQFWrlwJm82mdihE5AZGoxGzZ8+u9QuPfZ1If+rr70SO0mVxW1ZWBpvNhq5duyI4OFjtcIioCUpKSnDgwAGUlZXV+mXHvk6kLw31dyJH6bK4rRYcHMzOQdQMsK8TEVE1XlBGRERERLqh65Fb0q+SkhKsWrUKP/zwAwICAnD33Xdj1KhRaodFRG72ySefYNu2bTh16hR69eqFuXPnqh0SEWkci1vySWvXroXVakVaWhpycnLwzDPPoFWrVkhOTlY7NCJyo8jISIwbNw4HDx5EcXGx2uEQkQ/gtATyORUVFdizZw/uv/9+BAYGok2bNhg8eDC++uortUMjIjfr3bs3evbsidDQULVDISIfweKWfM758+ehKAquueYa+2PXXnstzpw5o2JUREREpAUsbsnnVFRUIDAwsMZjQUFBKC8vVykiIiIi0goWt+Rz/P39axWyZWVlCAgIUCkiIiIi0goWt+RzWrZsCQA1piGcPHkSiYmJaoVEREREGsHilnyOv78/+vTpgzfeeANlZWU4ffo0vvzyS9x5551qh0ZEbiZJEiwWC2RZhizLsFgsvN0yETWIS4GRT5o5cyZWrlyJadOmISAgAPfccw+XASPSoXfeeQcbN260f79nzx7ccccdmDNnjnpBEZGmsbglnxQcHIw///nPaodBRB42adIkTJo0Se0wiMiHcFoCEREREemGJkZuV65ciX379qG8vBwhISEYPHgwxo0bBwB48MEHUVBQAFGsqsNjYmKwatUqNcMlIiIiIo3SRHE7cuRIPPTQQ/Dz80Nubi4WLlyIFi1aoG/fvgCAefPmcT4lERERETVKE8Xt1Us4CYKAzMxMlaIhIiIiIl+lieIWAF577TV88sknqKysRGxsLAYMGGB/bvny5VAUBYmJiZg8eTKSkpIcOmZJSYmnwiUiL3GkH7OvE+kD+zK5g2aK26lTp2LKlCk4fvw49u7di6CgIADA448/jrZt2wIAtm7ditTUVKxYsQKxsbE19s/KykJWVhYAIDc3FwBw4MABL2ZARJ5U19qmNpsNgiCwrxPpDNcypqbQTHELVE1HaN++Pfbv348NGzZg+vTpNUZphw0bhl27dmH//v0YOnRojX3Xrl2L1NRU+/eTJ0/G3LlzvRY7EXnOpk2bYDTWPl0ZjUZMnDgRFRUVKkRFRJ5QX38ncpQmf3pkWbaPwl5NFEUoilLr8ZkzZ2LkyJEAqkZut2zZgujoaMTHx9fbjqIosNlsMBqNEATBPcE3QJZl5OTkIDY21r76g6cxR/fzdo7ezg/QVo7Z2dkN7vvee+8hJSVFU30d0NZr6CnM0f30fj4DmtbfiRyhenFbUlKC77//Hj169IC/vz+OHDmCzz77DOPHj0dubi5ycnLQoUMHAMC2bdtw7NgxzJ49u9ZxEhISkJCQAADIzMxEeno6ADTYWRVFgSiKEEXRayfK6pi8eRJhjp7hrRzVyg/wjRytVisAbfZ1wDdew6Ziju6j9/MZoO77SM2D6sUtAGzZsgXr1q2DLMuIjIzE6NGjMXz4cJw9exbr1q1DVlYWjEYjWrdujWeeecZexBIRERERXUn14jY4OBhLliyp87nExES8+OKLXo6IiIiIiHwVb79LRERERLrB4paIiIiIdIPFLRERERHpBotbIiIiItINFrdEREREpBssbomIiIhIN1jcEhEREZFusLglIiIiIt1gcUtE5IRiqQQZ5cdRJBWpHQoREdVB9TuUERH5ikPlR7A085+wKBYYBSPmxj+GLkGd1Q6LiIiuwJFbIiIHrctJg0WxAABsig1rcl5ROSIiIroai1siIgeVSCU1vi+VS1WKhIiI6sPilojIQX1DesMAAwDAAAN6B/dUOSIiIroa59wSETloSvRExJiicbziN7TxuwbDw+9SOyQiIroKi1siIgeJgsiClohI4zgtgYiIiIh0g8UtEREREekGi1siIiIi0g0Wt0RERESkGyxuiYiIiEg3WNwSERERkW6wuCUiIiIi3WBxS0RERES6weKWiIiIiHSDxS0RERER6QaLWyIiIiLSDRa3RERERKQbLG6JiIiISDdY3BIRERGRbrC4JSIiIiLdMKodgKcEBwfDaDRCUZR6t6l+rqFt3ElRFHtM3mzzyn+90R5zdH97V/7rDVrK0Whs+DQVHx+vub5e3ZYjr2GONRevX3wbebZL6B3cA/8XPgSCILjU3pX/eoOWfk482aaec9TaObux/k7kCN3+FHXt2hURERGw2WyNbitJkhciqhIREQFZliHLstfaBJiju6mRozfzA7STY0RERIP7TJ8+HQA019eBxl9Dq2JF6vnnUSAVQoaMM/lnYVBEDA4d6HKbWsvRE5ije2npnN1YfydyhG6L2wMHDqBz586IiYmpdxtFUSBJEgwGg0sjJc6SZRl5eXmIioqCKHpnRghzdD9v5+jt/ABt5Zibm9vgvq+88grGjBmjqb4OOPYaZlsuIF+69Ps+kHGw4mcMi7zL6fa0mqM7MUf309o5u7H+TuQI3Ra3JSUlsNlsDp0cBEHwyklEEAR7TN46MV/ZNnN0Xztq5OjN9rSUY2MjstnZ2Zrr69VtNfYaRhjDIUKEjKoRMwMMSDDFNSlGreXoqXaZo/va0dI525FPYIgawwvKiIhUEmwIxuy4GTBeHmdI9GuNcVFjVI6KiMi36XbklojIF/QO6YnuQd1QLlcg1BDi9dEzIiK9YXFLRKQys2iGWTSrHQYRkS5wWgIRERER6QaLWyIiIiLSDRa3RERERKQbLG6JiIiISDdY3BIRERGRbrC4JSIiIiLdYHFLRERERLrB4paIiIiIdIPFLRERERHpBotbIiIiItINFrdEREREpBssbomIiIhIN1jcEhEREZFusLglIiIiIt1gcUtERETN2r/+9S8kJibCYDBg9OjRbjnmwYMHsXDhQpSVlbnleFe79dZbsWrVKo8cu6nuvPNOLFmyRLX2WdwSERFRs3Xs2DE88cQTuO+++7Br1y78/e9/d8txDx48iNTUVI8Utx988AFOnTqFBx54wO3Hdoenn34ay5Ytw6VLl1Rpn8UtERERNVtHjx6Foih46KGH0Lt3b3To0EHtkOpUXl5u///ly5dj4sSJCAgIUDGi2qpjHDBgACIiIvDaa6+pEgeLWyIiImqWpk2bhhEjRgAA2rZtC0EQsGrVKsyePRsdO3ZEYGAg2rRpgz/84Q8oLCystf/rr7+Orl27wt/fH9HR0Rg2bBhOnz6N9evXIyUlBQAQExMDQRDQpk0b+34///wz7rrrLgQFBSEsLAz33nsvzpw5U+PYgiBg6dKleOqppxAfH4/Y2FgAwMmTJ7Fr1y7ce++9NbZXFAXPPfcc4uPjERwcjLFjx2LLli0QBAHbt2+vsd2yZcvQoUMH+Pn54brrrsO//vWvGsc6cuQIJkyYgNatWyMwMBBJSUn4xz/+AVmW7ducOnUKgiBg/fr1eOihhxAVFYVbb73V/vzYsWNZ3BIRERF50zPPPIO//e1vAIBNmzYhPT0d48aNgyRJWLJkCT777DMsXrwYO3bsqDUX94UXXsDUqVORnJyMTZs24ZVXXkH79u2Rm5uL4cOHY/78+QCAzz//HOnp6fjggw8AAGfPnkW/fv2Ql5eHN998E2vWrMEPP/yA/v37o7i4uEYbL774IjIyMvDKK6/gzTffBABs3boVRqOxRiEJACtWrMDChQsxbdo0bNq0CW3btsWDDz5YK+fHHnsMzz77LKZOnYpPP/0U06ZNw1NPPYU1a9bYtzl//jw6duyI1atXY/PmzZgxYwaee+45LFq0qNbx5s2bB0VRsGHDBrzwwgv2x3v37o2DBw8iNzfX0bfDbYxeb5GIiIhIA9q2bWufhtC1a1f76OrLL79s38Zms+Haa69F3759kZGRgQ4dOqCwsBALFy7EjBkzsHbtWvu2o0aNqnFsAEhOTkZ0dLT98X/961+wWq348ssvERkZaW87KSkJ69evxyOPPGLfNjIyEps2bYIgCPbHvv/+e/uoazVJkrB06VKkpKRg6dKlAIDBgwfj4sWLeOWVV+zb/fbbb1i5ciXWrFmDGTNmAAAGDRqEsrIypKamYsaMGRBFEQMHDsTAgQMBVI309u3bF2VlZVi5ciUWLFhQ4zW8+eab8Z///KfWa9ulSxcAwHfffYfhw4fX8w54BkduiYiIiK7wxhtvoGvXrggODobJZELfvn0BABkZGQCA9PR0lJWVYfr06U4fe9euXbjjjjvshS0AXH/99ejSpQt2795dY9uhQ4fWKGwBICsrCzExMTUeO3fuHLKysjBy5Mgaj19ZbAPAli1bAAD33HMPbDab/WvQoEHIzs7G2bNnAQAVFRVYsGAB2rVrBz8/P5hMJvzlL39BVlYWSkpKahyzvsK1uqDPyspq8PXwBBa3RNQsFBTYcP6sBZKk2B9TFAXZ1hxkWbKhKEoDexNRc/HBBx9gypQpuPXWW/Huu+9i79699ikFFRUVAIC8vDwAQIsWLZw+/qVLlxAXF1fr8bi4OOTn59d67GoVFRU1Rm2B3wvIq4ve6nm61S5evAhFURAdHQ2TyWT/uvPOOwHAXtw+9dRTeOGFF/DQQw9h8+bN+P777+3TLKpfg4ZiBGCP8coL4byF0xKISPc+++QS3n2r6pdGQksTnl7QCkEhAlZcWIv0km8BAMlBXfF4/GwYBIOaoRKRyt577z3cfPPNNaYb7Nixo8Y2UVFRAIDMzEy0atXKqeNHRkYiJyen1uMXLlyotVLD1aO21fufOnWqxmMJCQkAUGt+69XtREZGQhAE7N69G2azudaxO3bsCKDqNZg5cyaeeuop+3OffvppnfnUFSMAFBQUAPj9tfImjtwSka7lXbTaC1sAyMm24uMP8rG/9AC+Lfne/vjB0p/shS4RNV/l5eW1Cr+33nqrxve9evVCYGAg0tLS6j1O9TGuHuns27cvtm7dWmMN2KNHj+Knn36yT39oSMeOHXHy5Mkaj7Vq1Qrx8fH43//+V+PxDz/8sMb31fNo8/Ly0L1791pfISEhAGq/BpIkYePGjY3GdqXqAry6YPYmjtwSka4VFUo1vpckoOCSDQVSIQwQIaNqaRtREFFoK1IjRCLSkDvvvBOzZs3CokWL0KtXL2zevBlbt26tsU1YWBgWLFiAp556CrIsY9SoUZBlGV9//TUmTpyI7t27o1OnTgCAVatWYfTo0QgMDETnzp3x//7f/0NaWhoGDx6Mv/zlL6ioqMD8+fORmJiIadOmNRpfnz598Nxzz+HcuXP2UWODwYB58+Zhzpw5iIuLw4ABA/D111/b59iKYtVYZocOHTBr1izcf//9mDt3Lnr06AGr1YqMjAx8/fXX9mL4zjvvxL///W8kJSUhOjoaq1evRmVlpVOv4759+xAcHIybb77Zqf3cQRMjtytXrsS0adMwfvx4PPjgg3j33Xftz50+fRp/+tOfcO+992LWrFn48ccfVYyUiHxNy9ZmREcbYbg820AQgO49Q3BT4I2AIKD6P1mR0SWos7rBEpHqZs6ciSeeeAIrVqzAmDFjcPbsWbz99tu1tnvyySfx6quvIj09HXfffTemTZuGjIwM+zzXrl27YuHChXjzzTfRu3dv+3q6rVu3xo4dOxAREYH77rsPM2bMQJcuXbB9+3b7yGlDbr/9dkRFReGzzz6r8fgjjzyCBQsW4NVXX8Xdd9+NQ4cO2ZfmCgsLs2/30ksvYfHixdi4cSOGDx+OyZMn45133kH//v3t26xYsQL9+/fHI488gunTp6Nz5854+umnnXodP/vsM9x9990wGFSY6qVowOnTp5WKigpFURQlJydH+eMf/6js2rVLsVqtyvTp05V33nlHsVgsys6dO5Xx48crly5davB458+fVxYsWKCcP3++we1kWVYsFosiy7K7UmmQJEnK+fPnFUmSvNKeojBHT/B2jt7OT1G0lWND/dnRvp530aL8e3Wm8s+/nVfS9xTZHz9efkL5V+Yq5Z+ZK5SjZceansgVtPQaegpzdD+9n88UxfX+Tr97/PHHlQEDBjS63fz585WAgAClrKzMC1H9Lj8/XzGbzcqOHTu82m41TUxLSExMrPG9IAjIzMzEzz//jMrKStx7770QRRG33XYbPv74Y+zZs8fra6YRke+KiDRi6oPRMBqNNS5+aOt/LeYk/FHFyIiInPenP/0J7dq1w48//mhfT/bw4cP2UWKz2Yzt27dj2bJlePjhh71+m94VK1agT58+6Nevn1fbraaJ4hYAXnvtNXzyySeorKxEbGwsBgwYgG+++QZt2rSxzxUBgOuuuw6nT59WMVIiIiIi9SQkJGD9+vU1VkcIDAxEeno6Xn75ZRQXF6Nly5aYO3cuFi5c6PX4IiMj8dJLL3m93WqaKW6nTp2KKVOm4Pjx49i7dy+CgoJQXl6OoKCgGtsFBQXVuYRGVlaWfZ233NxclJaWAkCN+yBfTVEUyLIMWZbrXcrCnapjaSgmd2OO7uftHL2dH+BbOZpMJgDa6utXxuMLr6GrmKP76f18BqjzPurR2LFja3x/zTXXYNu2bSpFU9Ps2bNVbV8zxS1QNR2hffv22L9/PzZs2IDo6Gh7kVqttLS0zuH1tWvXIjU11f79hAkTAADZ2dmeDdoFdRXnesMc9cEXckxJSQGgzb4O+MZr2FTM0ffpPb/67N+/3yPHTU5O9shxyTGaKm6rybKMrKwsdOvWDe+//z5kWbZPTTh58mSdczhmzpxpv+1cbm6uffmL+Pj4ettRFAU2m63WPDxPkWUZOTk5iI2NrTHVwpOYo/t5O0dv5wdoK8fGita0tDSkpKRoqq8D2noNPYU5up/ez2dA0/o7kSNUL25LSkrw/fffo0ePHvD398eRI0fw2WefYfz48ejcuTPMZjM2bdqEUaNG4dtvv8Xp06fRp0+fWsdJSEiw36EjMzMT6enpANBgZ1UUBaIoQhRFr340Ut2mNzBHz/FWjmrlB/hGjlarFYA2+zrgG69hUzFH99H7+QxQ932sz9V3BmuKjIwMtx2LXKN6cQsAW7Zswbp16yDLMiIjIzF69GgMHz4cgiBg/vz5WLlyJTZu3IjY2FjMmzcP4eHhaodMRERERBqkenEbHByMJUuW1Pt8mzZtsGzZMi9GRERERES+ShN3KCMiIiIicgcWt0REREReMGPGDLRs2RKhoaFo06YN/vrXv6odki6xuCUiIiLygjlz5uD48eMoKirCrl278Oabb+Ldd99VOyzdUX3OLREREZFWKVYrytN3Q7qYC0N0DAJ69YVw+eYxzkpKSqrxvSiKOH78uDvCpCuwuCUiIiKqg2K1In/532E7f9b+WPl36Yh8bK7LBe68efPw0ksvoaysDG3atMHkyZPdFS5dxmkJRERERHUoT99dVdhKkv3Ldu4MytN3u3zM559/HiUlJfjuu+8wadIkREREuDFiAljcEhEREdVJuphb9+N5F5t0XEEQcMstt8Df3x8LFixo0rGoNha3RERERHUwRMfU/XhUtFuOb7PZ8Ntvv7nlWPQ7FrdEREREdQjo1RfGlq0Bg8H+ZWyViIBefZ0+1qVLl/DGG2+gqKgIsixjz549ePnllzFo0CAPRN688YIyIiIiojoIJhMi5zxZtVpC3kUYoqJdXi1BEASkpaXh0Ucfhc1mQ8uWLfHEE09g9uzZHoi8eWNxS0RERFQPwWRCYL8BTT5OeHg4tm3b5oaIqDGclkBEREREusHiloiIiIh0g8UtEREREekGi1siIiIi0g0Wt0RERESkG1wtgYiIiJq1jIwMtUMgN2JxS0RERM1ScnKy2iGQB3BaAhERERHpBotbIiIiItINTksgIiKiZmn//v0eOS6nO6iLI7dEREREpBscuSUiIqJmrUOHDm47FldeUB9HbomIiIhIN1jcEhEREZFusLglIiIiIt1gcUtERETkJRcvXkR0dDR69uypdii6xeKWiIiIyEvmzp2LpKQktcPQNRa3RERERPWwKlZ8XbYT7xZvwtdlO2FVrC4fa8eOHTh27BhSUlLcGCFdjUuBEREREdXBqljx9/zlOGs7b38svfw7zI18DCbB5NSxLBYLZs+ejTfffBMHDhxwd6h0Bd0Wt8HBwTAajVAUpd5tqp9raBt3UhTFHpM327zyX2+0xxzd396V/3qDlnI0Ghs+TcXHx2uur1e3pZXX0JNtMkf3t3flv95oT0vn7Mb6u7ftLk/HWdt5SJDsj52xncPu8nQMCOzn1LGWLl2KQYMGoUuXLixuPUxbP0Vu1LVrV0RERMBmszW6rSRJjW7jLhEREZBlGbIse61NgDm6mxo5ejM/QDs5RkRENLjP9OnTAUDVvv5b5Umsz38LxVIxbgvujbvDRkAURM28hp7EHD1D7+czwLX+7m250sU6H78o5Tl1nOPHj2P9+vU4ePCgG6Kixui2uD1w4AA6d+6MmJiYerdRFAWSJMFgMEAQBI/HJMsy8vLyEBUVBVH0znRn5uh+3s7R2/kB2soxNze3wX1feeUVjBkzRrW+XiKVYumFf6JSqYQCBR8VbkakKRIDQ/pr5jX0FC39nHiK3nPU2jm7sf7ubTGG6DofjzZEOXWc3bt3Izs7234ntPLycpSXlyM+Ph4ZGRkIDQ1tcqz0O90WtyUlJbDZbA6dHARB8MpJRBAEe0zeOjFf2TZzdF87auTozfa0lGNjI7LZ2dmq9vVMaxYqlAr79zJkHKk4ikGht2vmNfRkW8zRc+3q+XxW3baz/d3b+gb0wjfl39aYc5tobIW+Ab2cOs748eMxZMgQ+/fvvPMOXn/9dXz66acICQlxW7xURbfFLRGRN8SaYiBChIyqj3SNMKC1uaXKURGRO5gEE56MnIPd5em4KOUh2hCFvgG9nL6YLCAgAAEBAfbvw8LCYDKZEB8f7+6QCVwKjIioSSKM4Xgs/mEECP4QICA5qCv+L2Ko2mERkZuYBBMGBPbD2JC7MSCwn9OFbV2mTZuGvXv3uiE6qgtHbomImqhH8C24Nag7ZMgwCAYAgKx49+IcIiKqwuKWiMgNBEGAAQa1wyAiavY4LYGIiIiIdIPFLRERERHpBotbIiIiItINzrklIiKiZi0jI0PtEMiNWNwSERFRs5ScnKx2COQBnJZARERERLrBkVsiIiJqlvbv3++R43JEWF0cuSUiIiIi3eDILRERETVrHTp0cNuxeHGa+jhyS0RERES6weKWiIiIiHSDxS0RkZdZLDIO/1qGUycqoCiK2uEQEekK59wSEXlRSbGERc+cw4VsKwCgT78QPPhwLARBUDkyIvKkadOm4e2334bZbLY/dujQISQmJqoYlT5x5JaIyIu++rwAeRet9u/37CzGb8crVYyIiLzl8ccfR0lJif2Lha1ncOSWiMiLyspkyFfMRBBEoKxUUi8gImqQ1aogfXc5LuZKiI4xoFffAJhM/KRFyzhyS0TkRb36hAAKIIqAwQBERBjR4foAtcMiojpYrQqW/z0fm94pxs5tZdj0TjFefCEfVqtrc+XXrVuHyMhIdOnSBa+++qqbo6VqHLklIvKi69r54+nUVvhmZxH8/UUMHh4Of3+OMxBpUfrucpw/a4N0xYcr587YkL67HP0GBDp1rEcffRTLli1DeHg4du3ahbFjxyIsLAz33HOPm6MmFrdERF7Wrr0/2rX3VzsMImrExdy6pwzlXXR+KlG3bt3s/z9gwADMmjUL7733HotbD+BwAREREVEdomMMdT4eFV33484QRZFLAXoIi1siIiKiOvTqG4CWrY0wGGD/apVoRK++zs+Tf/fdd1FcXAxZlrF7926sXLkSd999tweiJk5LICIiIqqDySRgzpORSN9djryLEqKiXV8tYeXKlZgxYwYkSUJiYiIWL16MCRMmeCBqYnFLREREVA+TSXD64rG67Ny50w3RkCM4LYGIiIiIdEP1kVur1Yo1a9bgxx9/RHFxMaKjozFu3Dj0798fAPDggw+ioKAAolhVh8fExGDVqlVqhkxEREREGqV6cStJEiIjI7F48WLExcXh8OHDeO655xAXF4frr78eADBv3jwkJyerHCkRERERaZ3q0xL8/f1x3333IT4+HoIgICkpCZ06dcLhw4fVDo2IiIiIfIzqI7dXq6iowPHjxzFixAj7Y8uXL4eiKEhMTMTkyZORlJSkYoREREREpFWaKm5lWcby5cvRvn17dO3aFQDw+OOPo23btgCArVu3IjU1FStWrEBsbGyNfbOyspCVlQUAyM3NRWlpqf2Y9VEUBbIsQ5ZlCILzy3o4qzqWhmJyN+boft7O0dv5Ab6Vo8lkAqCtvn5lPL7wGrqKObqf3s9ngDrvY2MyMjLUDoHcSDPFraIoWL16NfLz85Gammr/gb9ylHbYsGHYtWsX9u/fj6FDh9bYf+3atUhNTbV/X712XHZ2theid05OTo7aIXgcc9QHX8gxJSUFgDb7OuAbr2FTMUffp/f86sPrefRJE8WtoihYs2YNTp48iUWLFiEgoP47f9R3u7qZM2di5MiRAKpGbrds2QIAiI+Pb7Bdm80Go9Hotb+Qc3JyEBsba1/9wdOYo/t5O0dv5wdoK8fGita0tDSkpKRoqq8D2noNPYU5up/ez2dA0/o7kSM0UdyuXbsWR48exeLFixEY+PtCybm5ucjJyUGHDh0AANu2bcOxY8cwe/bsWsdISEhAQkICACAzMxPp6ekA0GBnVRQFoihCFEWvfjRS3aY3MEfP8VaOauUH+EaOVqsVgDb7OuAbr2FTMUf30fv5DFD3faTmQfXiNicnB5s3b4bJZMIDDzxgf/zee+9Fz549sW7dOmRlZcFoNKJ169Z45pln7EUsEREREdGVVC9uY2Nj8dFHH9X7/IsvvujFaIiIiIjIl6m+zi0RERERkbuoPnJLzVOlXIl9pQcgQ0ZyUFcEivVfREhERETkKBa35HUVciXmn3sOWZZsCAAijBF4vnUqgg1BaodGREREPo7TEsjr9pXuR5YlGxIk2CDhkq0Ae4rT1Q6LiIiIdIDFLXmdpMgQcMXyLwIgQVIvICIiItINFrfkdd2DuiLcGAbj5f8CxQD0Du6pdlhERESkA5xzS14XZAjC861Tsav4GyiKjD4hPRFuDFM7LCIiItIBFrekihBDMIaFD1Y7DCIiItIZTksgIiIiIt1gcUtEREREusHiloiIiIh0g8UtEREREekGi1siIiIi0g0Wt0RERESkGyxuiYiIiFx06tQpCIKA//73v2qHQpexuCUiIiIi3WBxS0RERES6weKWiIiImrX09HQMHjwYoaGhCAkJQY8ePfDVV18hOTkZ9913X63tn3rqKbRo0QKSJKkQLTWGxS0RERE1W3v27MHtt9+OyspK/Oc//8H777+PUaNG4cyZM3jooYfwwQcfoLCw0L69JEl44403MHXqVBgMBhUjp/oY1Q6AiIiISC1PPvkk2rVrh23bttmL1cGDBwMAioqK8MQTT+Dtt9/Gww8/DADYvHkzsrKy8MADD6gWMzWMI7dERETULJWVlWHv3r31jsKGhoZi/PjxePXVV+2PpaWl4bbbbkP79u29GSo5waXiVhRFGAyGOr+MRiOioqIwcOBAfPzxx+6Ol4iIiMgtLl26BFmW0aJFi3q3eeihh7Bv3z789NNPyM3NxSeffMJRW41zaVrCCy+8gJdeegn+/v4YMWIEYmNjceHCBXz88ceoqKjAtGnTsH37dowePRpvvfUWJkyY4O64iYiIiJokPDwcoigiMzOz3m169eqFG264Aa+++ioSExPh7++PsWPHejFKcpZLxW1+fj66d++O//73vxAEwf74smXLcM8996C8vBw7d+7EhAkT8Le//Y3FLREREWlOUFAQevXqhddffx1PPPFEvReIPfTQQ1i8eDFiY2Mxfvx4BAUFeTlScoZL0xJeeeUVPPTQQzUKWwAQBAEzZszAa6+9BgCYNGkSjhw50vQoSTdOVJzCe3kf4IuCLbDIFrXDIdK0EqkEH1/ajPfz/4cL1hy1wyHSpaVLlyIjIwODBg3Ce++9hy1btuDvf/97jXm2999/P4qLi3Ho0CFMnz5dxWjJES6N3JaVleHMmTN1Pnf69GlUVFQAqPqLyGw2ux4d6crh8qNYdP5vECECUJBe8h2ebflniAKvayS6WrlcjnlnF+KSrQAA8PGlzViauAjxplh1AyPSmb59+2L79u2YP38+pk2bBoPBgBtuuAGLFy+2bxMZGYn+/fvj3Llz6Nmzp4rRkiNcKm5HjhyJP//5zwgODsaIESMQEhKC4uJi/O9//8Of//xnjB49GgDw888/o127du6Ml3zYFwVboUCBDTYAwJGKDJy3ZKG1X0uVIyPSnp/LfkW+7RIkXF4kXgF2Fe3B2Ki71Q2MSId69+6Nbdu21ft8UVERvvnmGyxcuLDWc23atIGiKB6MjpzlUnG7evVqTJs2DZMnT4YgCDCZTLBarVAUBXfffTdWrlwJAEhMTMTzzz/v1oDJd5lEIwQIUPD7ScAkcKlloroYBWONvgIAJsGkUjREzVP1VITVq1dDEASkpKSoHRI5wKXKIjQ0FJs2bcLhw4fx3XffITs7GwkJCejevTuSkpLs240ZM8ZtgZLvGx3xf9hXegBW2QIJMvqH9EUcP2IlqtNNgTeig387ZFQchwAB4cYw3BHWX+2wiJqV/fv3Y8CAAWjdujVee+01REZGqh0SOaBJw2adOnVCp06d3BUL6VxLcwv8M/F5HC4/glBDKG4I6FTrokQiqmIUjJjf8kn8WPYLrIoVNwXeiEAxQO2wiJqV22+/nVMOfJDLxa3VasX69evx7bffIisrCwkJCejZsyemTp0Kk0n9j86Cg4NhNBob/KGsfs5bP7iKothj8mabV/7rjfYayjHcEIZewT1qxdfUNt11LEfb8+b76O38qtvSSo5GY8Onqfj4eM319eq2mvoaGmBAt8AuNY7ZUHuNbeNuWvo58WSbes5Ra7+XGuvv7rZ//36vtpecnOzV9porl36KMjIyMGTIEJw5cwZdunRBXFwcDhw4gPXr12PJkiX4/PPP0bFjR3fH6pSuXbsiIiICNput0W0lSfJCRFUiIiIgyzJkWfZamwBzdDc1cvRmfoB2coyIiGhwn+plebTW1wHtvIaexBw9Q+/nM8C1/k7kCJeK25kzZ8JsNuPo0aNo27at/fHjx49jxIgRePjhhxu86tAbDhw4gM6dOyMmJqbebRRFgSRJMBgMXvl4XJZl5OXlISoqCqLoneWvmKP7eTtHb+cHaCvH3NzcBvd95ZVXMGbMGE31dUBbr6GnMEf30/v5DGhaf/eUDh06eLyNjIwMj7dBVVwqbr/99lu88cYbNQpbAGjXrh2ee+45TJ061S3BNUVJSQlsNptDJwdBELxyEhEEwR6Tt+eaMkf3tqNGjt5sT0s5NjYim52drbm+Xt2WVl5DT7bFHD3Xrp7PZ9VtO9vfiRzh0p9pLVq0qLcTCIKA+Pj4JgVFREREROQKl4rbBQsW4JlnnsGJEydqPH7ixAksWLAACxYscEtwRERERETOcGlawrvvvouCggJ07NgRN954I2JjY5GTk4NffvkFcXFxeP/99/H+++8DqBrJ/d///ufWoImIiIj05uLFi7j++uvRrl077N27V+1wfJZLxW1JSQk6dOhgn4BtsVgQHh6Ovn37Aqi6owcREREROW7u3LlISkqCxWJROxSf5lJx+/XXX7s7DiIiIqJma8eOHTh27BimT5+OtWvXqh2OT3N5teSzZ8/iww8/xNmzZ1FRUVHjOUEQ8OKLLzY5OCIiIiKtyMzMxLRp0/DTTz/hpptuwvr169GiRYsmH9disWD27Nl48803ceDAATdE2ry5POd28uTJUBQFsbGxMJvNNZ5ncUuNseZko2DbVyg7+APkigqIAYEIvrUnwvrfAWNklNrhERER1TJt2jTs27cPNpsN+/btw7Rp0/Dll182+bhLly7FoEGD0KVLFxa3buBScfv000/j7rvvxrp16xAWFubumEjHFJsNOWnrULxnJ2A0ApfXNJQKLuHSp//DpY82IWzwMESPvw+ClxYUJyIicsRPP/1kX4vXZrPhp59+avIxjx8/jvXr1+PgwYNNPhZVcam4zc3NxYwZM1jYklMUWUbWS/9A2a+XTwZXL9Z9+fvCLZ9DLitF7AMzvb6oOBERUX1uuukm+8it0WjETTfd1ORj7t69G9nZ2faL9MvLy1FeXo74+HhkZGQgNDS0yW00Ny4NjQ0ZMoRLVGiUIsvI3fAGTjz8AE49MQulPx1UOyS7ou1bqwrbxu6ZLkko3rMTpT98753AiIiIHLB+/Xp0794dgYGB6N69O9avX9/kY44fPx4nTpzAwYMHcfDgQTz33HPo3LkzDh48iJCQkKYH3Qy5NHK7Zs0ajB8/HmVlZRg4cCDCw8NrbdOtW7emxkYuKNq+FYVbPgckCXJ5GbJX/AMt//oPGGNiVY1LURQUfP5J44Xt7zug4IvNCE6+1bOBERGsihXbi3ahSCpG96CuuMYvUe2QiDSpRYsWbplje6WAgAAEBATYvw8LC4PJZOLdXpvApeK2uLgYZWVleP7557F06dIazymKAkEQIDlaxJBbVZ46Ccjy7w9IEqzZWfBXubitPPkbrDkXHN9BUVCRcQTWi7kwRcd4LjAinbMpNlyyFUCCjHBDKPxF/xrPy4qMv57/B45VHAMg4P38/2FBy3noGNAexVIJSqQS+Il+CDeEQRQ4D57I06ZNm4Zp06apHYZPc6m4nTJlCs6cOYMVK1agQ4cOtVZLIPX4XdMG2CP+PkIqijDFJ6gaEwBYL+bWuIDMUba8iyxuiVyQY83Fl4VbsaVwOyqUquUaRQjoHpSMoeF3olNARwDAOct5HK44UmPfty++CxkyjlX+Zn8syhiJYWGD0T/0NgQbgryXCBGRk1wqbr/77ju8/fbbGD16tJvDoaYKHTAIluxMFO3cDjEgADHTHoQxIlLtsFy/MIwrJhA57duS7/FS9hoIEGDD739QylCwr/QHfF+6H3eFDcSU6EkwCrV/DRytPAYBNftsni0fG/L+i/8VfIr5LZ5Eol9rj+dBROQKl4rb9u3b25fCIG0RRBEx901DzH3TAFRNE9HCe2WKb+H0qC0EASaVp1MQ+Zqfyn7B8uzVUKDU+byMqmlLXxV+DZNgwqSocegb3AvflOyFfMU+de1vgw0lUilSzy/F0tapiDKo/4czEdHVXBoW++c//4klS5bgyJEjjW9MBMCvdSLM17RxfAdRROBNN8MYHuGxmIj0RlEU/Dt3fb2F7ZUkSPi44DPk2HIxK24GhocPqTVaWxcZMirkCryX/4E7QiYicjuXits5c+bg3LlzuPHGG5GYmIibbrqpxleXLl3cHSfpQMTQkY5PM1AUhA/5P88GRKQzhyqOIM+W7/D2RsGILYVfQxAE/Fp+2KGiGKgqjPcU70WJVOpqqEREHuPStITk5GQurk9OC+7RC+VHD6Fox7aaKzpcTRAQMeoeBHa6wXvBEenA92U/QIDgcJFqU2zYU7wXw8PvwonKU061JQA4WPYT2uFa5wMl0piMjAy1QyA3cqm4dceixdT8CIKAmCnTYQyPwKVPPoQiK4B0xTxcgwGC0YSosRMRPugu9QIl8lGFUpF9Tq2jSuUyFLswAisKIkpljtySb0tOTlY7BPIAl4pbIlcJgoDIUfcgfPBQFO3ZhbKfDkAuK4MYHILg5FsQ3KM3RC4tR+QSf9HP6X1Mgglm0eT0fgoAs8C+SkTaw+KWVCEGBCJ80F0coSVyo45+7ZFe+h0kOHYTHREiOgV0QLQxCqGGEBRJxQ63ZVWs6ODfDihzNVoiIs9gcUtEpBM9g27Fm5c2QlIcK24VKBgSdicMggFDwu7EpvyPaqyLWx8BAjr4t0NLcwtkI7upYROpZv/+/V5tj9MgvIMr5BMR6YS/6IcR4cNgcODUboAB1/m1QVLA9QCAgaG3w080O7QcGADcEzmqSbESEXkKR26JiHTk7ogRuGDNwTcleyHVc3GZEUbEmKLxVIv/Z1/5JswYiqdb/AmLzv8dFsVS54Vp1YXv9JgpuCnwRsgNrXpC5EM6dOjg8Ta4IoP3sLglItIRURDxx7iH0D6gHT669CnybPkwCUYoAGRFhkkw4o7Q/rg3cjQCDYE19m3rfx2eb70Q7+Rvwncl+yBCtBe/VsWKtn7XYWzU3egSeKMKmREROYbFLRGRzgiCgMFhd+DO0AE4VH4EZyznICsSIo2R6BbUBX4NrKqQYI7HnPg/osBWiANlP6JEKoWfaEYn/45o7dfKi1kQEbmGxS0RkU4JgoAbAjvhhsBOTu8bbgzDgNB+HoiKyLcpigKLxQKz2cwbWmkULygjIiIiasShQ4cwa9YsxMXFISYmBnFxcZg1axYOHTrUpONOmzYNZrMZwcHB9q8zZ864KermSfWRW6vVijVr1uDHH39EcXExoqOjMW7cOPTv3x8AcPr0aaxYsQKnTp1CXFwcZsyYgS5duqgcNRERETUXH374IVJSUiCKIqxWKwCgoqICGzduxNtvv420tDSMHj3a5eM//vjjWLp0qZuiJdVHbiVJQmRkJBYvXoyNGzdi1qxZePnll3HkyBHYbDYsWrQIt956KzZs2IAJEybg+eefR0FBgdphExERUTNw6NAhpKSkQJIke2FbzWq1QpIkpKSkNHkEl9xH9eLW398f9913H+Lj4yEIApKSktCpUyccPnwYP//8MyorK3HvvffCZDLhtttuQ2JiIvbs2aN22EREupB53oKPPsjH26/l4r8b8/DTgVLIsqJ2WESasWrVKohiw+WSKIpYvXq1y22sW7cOkZGR6NKlC1599VWXj0NVVJ+WcLWKigocP34cI0aMwJkzZ9CmTZsaP1TXXXcdTp8+rWKERES+7/TJSry5PhfHjlbAaAIUGRAE4NP/AWHhBtw9Ngr97whVO0wiVSmKgvfee6/WiO3VrFYr3nvvPaxYscLpi8weffRRLFu2DOHh4di1axfGjh2LsLAw3HPPPU0JvVnTVHEryzKWL1+O9u3bo2vXrsjIyEBQUFCNbYKCgpCTk1Nr36ysLGRlZQEAcnNzUVpaaj9mfRRFgSzLkGXZK1c8VsfizYXPmaP7eTtHb+cH+FaOJpMJgLb6+pXxaPE1PHq4HP94PgvS5bv02q76vV1wScL6f+cgO6sSYydG1XscLefoLnrPsTmcs5vCYrGgoqLCoW3Ly8thtVphNpudaqNbt272/x8wYABmzZqF9957j8VtE2imuFUUBatXr0Z+fj5SU1MhCAICAgLsRWq10tJSBAQE1Np/7dq1SE1NtX8/YcIEAEB2tvbue15Xca43zFEffCHHlJQUANrs64D2XsOiIgX//Fs5bLaGt1MU4PNPChESWo6bkxv+VaG1HD1B7znqPT9Xmc1m+Pv7O1TgBgQE2P/YbgpRFKEonBrUFJoobhVFwZo1a3Dy5EksWrTIXrwmJibi/fffhyzL9qkJJ0+eRL9+tddenDlzJkaOHAmgauR2y5YtAID4+PgG27XZbDAajV77CzknJwexsbGNzt9xF+boft7O0dv5AdrKsbGiNS0tDSkpKZrq64C2XsMrfffNJShyuYPHBHZuU3DXsLg6j6nVHN1J7zlq7ZyttT9SBUHA2LFjsXHjxganJphMJowdO9al9+zdd9/F0KFDERQUhG+++QYrV67EihUrmhJ2s6eJ4nbt2rU4evQoFi9ejMDA328H2blzZ5jNZmzatAmjRo3Ct99+i9OnT6NPnz61jpGQkICEhAQAQGZmJtLT0wGgwc6qKApEUYQoil79aKS6TW9gjo6TSophu5QPxWqDGBgIU0wsBIOh3u29laNa7yHgGzlW/8LRYl8HtPUayrKCLV8UNjpqe6XsLCtOHLegfcfan5hV01KOnqL3HH3xnO0ts2bNwttvv93gNoqi4I9//KNLx1+5ciVmzJgBSZKQmJiIxYsX2z99JteoXtzm5ORg8+bNMJlMeOCBB+yP33vvvRg3bhzmz5+PlStXYuPGjYiNjcW8efMQHh6uXsCkK4oso/zQLyj46jOU/XSwaqjqMkNoGMIGDUFo/wEwhoWrFiORuxQWSCgpdm5upckk4NSJygaLWyI9S0pKsn9CdOU6t0DViK2iKHj11VeRlJTk0vF37tzprlDpMtWL29jYWHz00Uf1Pt+mTRssW7bMixGRlp2pPIsTladgU2wIM4TipsAbYRacm7xfzZafh8x/LoXl/Lmqy8SvmuMkFRUi/6P3kf/he4gadx/C7xrmE6MMRPWxWl2bx2e1cf4fNW+jR49Ghw4dsHr1arz33nsoLy9HQEAAxo4diz/+8Y8uF7bkGaoXt0SO2Fd6AJvyP8KJypMwCVUT9iVFglkwYUBof4wMGYZwY5jDx7NezMW55+ZDKi2pKmrrm7x/+fPbvHffglRSjOh7+VER+a6QEENdf8c1SFEUhIXVPz2HqLlISkqyz4e1Wq0wmUwc8NAo1W/iQNSYD/I/xj+yXsKJypMAAKtihVWxQoaMCqUSXxVuwzNZi5Bny3foeIrViswXllQVttVrITVGllHw6f9QtIcfH5HvCggUceNNgXB2auXNyUGNb0TUTAiCALPZzMJWw1jckqbtLv4G7+ZvgoL6h5pssOGSVIC/Zi6DTWn8SpmS/d/BmpvreGFbTVGQ//47ULy4HiSRu905NMzhkVuDAejVNwRBQRy5JSLfweKWNEtWZGzMe7/BwraaBAnZ1gvYV3qg0W0LvtgMyE4WtpfZLuWj/NAvLu1LpAWduwSie48gNLAQCABANADBIQbcM77+mzgQEWkR59ySZv1aftjhqQYAoEDB5oIv0DP4lnq3sWSeR+XJ31wPShBQtO0rYNx9rh+DSEWCIGDm7Hj85+UL2LunBAZD7Q8xDAYgItKIJ//SEuER/DVB+peRkaF2CORGPGuRZh0qPwIDDLDBsUU5FSjIqDgOWZEhCnV/KGG9kI06f5s7SpZhyToP19ZnINIGo1HAzNlxGHRXGL76vBD7vi2xd4lrrvXDXcPC0b1HEMxmfrhH+pacnKx2COQBLG5JsyrkSihwfn6rVbHCT/Cr8zm5srJq2a8mUCorm7Q/kRYIgoB2HQLQrkMAFEWBxaLAZBIgirxIhoh8G4tb0qxAyQTBJjv1U2pQhAbXvRUDAoAmXhAmBnAxe9IXQRDg58eiloj0gcUtaZIiy7jmv/thG+L4PqKkoGOGhHLrLwhM6lznNn6J1zi3yOfVDEb4t+sIFyc1EBGRhuzfv9+r7XEahHdwQhVpUtmPBxD5wxm0zJQhyI4Vo7II9Prehosb36x3G2NEJIJu7ganF/qsJtkQOvBO1/YlIiIij+PILWlSwZebAUXB8C+t+M/9ZiiK0uBcWYNNQfvfZLQ5o8CC06g4dQL+ba6rc9uwO4ei9OAPzgclCPC75lr4JbYBsrOd35+IiDSpQ4cOHm+DKzJ4D0duSXOsORdQfvhXQFGQeE7Bfe9aYZCqCtirCbICUVLQ9qSM8R9YIQCAwYDCrV/We/yATjcg8KabAYOTf9sJAqInTXFuHyIiIvIqFrekOZVnz+DKFeY7/ibjsTUW9PhegrmyZoHb+ryMsR9aMfldK0zVK4ZJEipP1L+WrSAIiP/jY/C79lo0upJ9NVFE/MOPIqDD9c6mQ0RERF7EaQmkOXJFOQRBhHLFZVuRBQqGbbXhzu02FIQLsBmBoFIFoSX1H6Mhop8/Wj31LHLfTEPRru1Vc3BtV62nK4qAosAYGYXYBx9GYKcbmpYYERH5tPLycuzfvx/FxcUICQlBcnIyAriCjuawuCXNEf39oSh1L9dlkoCYvMYvMBP8/RvfxmRCbMoMRN0zAUW7vkbhti2wFV4CJAmC2Q8BnZIQPngoAjrdCKGJa+MSEZHvOn/+PFatWoW0tDSUlZXBaDTCZrMhMDAQKSkpmDVrFlq2bKl2mHQZi1vSHHNCS9fvIAYABgP8WiU6vnloKCKGj0LE8FEAAEVRWMwSEREA4ODBgxg5ciTKyspgsVgAAFarFQBQWlqKdevW4c0338RHH32Em2++2eV23n//fSxYsAAnT55EdHQ0/vWvf2HMmDHuSKHZ4Zxb0hxzi5bwa9ve9TuJSRLCBg52uX0WtkREBFSN2I4cORJFRUX2wvZqFosFRUVFGDlyJM6fP+9SO9u2bcOcOXOwdu1aFBcX4/vvv29SodzcsbglTQq/a5jLxa0pPgH+7Tu6OSIiImpuVq1ahbKyMsiN3NlSlmWUlZVh9erVLrXz7LPP4tlnn0WfPn0giiJiY2Nx3XV1L2dJjWNxS5oU3O2WqukJjq5mcIWwgXdx9JWIiJqkvLwcaWlp9Y7YXs1isSAtLQ3l5Q1f0Hw1SZLw3XffIT8/Hx06dECLFi2QkpKCwsJCV8ImsLgljRKMRrSY+zQMoWE1Hs+JEnDwRhH7bjbgSDsR1qtrX1GEJcu1j4WIiIiq7d+/H2VlZU7tU1pa6vQtfS9cuACr1YqNGzdi27ZtOHToEC5cuIA5c+Y4dRz6HS8oI80yhkcgZup0ZC9/AUfbith+mxFnW4kw2BQIStXtdk1W4JYfJPT/xoaACgCyjOJd2xE9fjJEPz+VMyAiIl9VXFwMo9Fov3jMEQaDAcXFxU61ExgYCACYPXs2WrVqBQD4y1/+gtGjRzt1HPodR25J06SCS9jVx4w3JphwtkXVVAPJKMBmEiAbBFT6C0i/1YCXHzCjKLhqH8VqhS0/T8WoiYjI14WEhMB29frnjZAkCSEhIU7tEx4ejtatW3M6nRuxuCVN+97vBL7sL1RdXCbW3fElo4CCMAHrJ5khXf6JVuQmLCVGRETNXnJysn1U1VFBQUFITk52uq0HH3wQK1euRHZ2NoqLi7F06VKMHDnS6eNQFRa3pFmKouCDqJ+h1FPUXkk2CLgYJeBIBxEQBBjDIrwQIRER6VVAQABSUlJgNpsd2t5sNiMlJcWlO5Y9/fTT6Nu3L5KSktC2bVv7OrfkGha3pFm/lB9GvljP/XXroAjAnh5GBN7UFYbg4Pq3UxTIlZVQGlnahYiImrdZs2YhMDAQothwuSSKIgIDA/HHP/7RpXaMRiNeeukl5OfnIycnB2lpaQgNDXXpWMQLykjDDpUfhkEwwKY4NudJEQWcaQWExg6p/ZzNhtID+1Hw5WZU/HYMuFzYGkJCEXr7QIQNGARjZJRb4yciIt/WsmVLfPTRR7XuUHYls9mMwMBAfPTRR7wFr0Zw5JY0q0KuhKI4OboqCDBe36HGQyU/7MPJOQ8j++UXUXE8w17YAoBUXIRLn32MU0/MRvbaFZArK90ROhER6cTNN9+M9PR0zJw5E8HBwRAEAUajEYIgIDg4GDNnzkR6ejrvKKYhHLklzQo2BEEUREhOFLgiRPiJvy8BVrRjG3LW/xtQlPp3unw1bMl338KalYmWf14A0d/f5biJiEhfWrZsiSVLlmD+/PnYv38/iouLERISguTkZJfm2JJnceSWNCs56GZYHZySAFQVtslBN9uXUyn96WDjhe2VJBsqz51F1op/QHF0HyIiajYCAgLQt29fDB06FH379mVhq1Esbkmz2vhdg2v9roEAx9b+U6BgSNidVf+vKLj49muOF7bVbDaUH/oF5Yd/dTZcIiIi0gDdTksIDg6G0WhscASu+jlvjdIpimKPyZttXvmvN9pzZ45ToiZhUebfoKDhYxlgwE2BN6KTf0coioLyY0dhzc5yrVFBQMFXnyGg0w11Pu3t99Hb72F1W1rJ0Whs+DQVHx+vub5e3ZZWXkNPtskc3d/elf96oz0t/V5qrL8TOUK3P0Vdu3ZFRESEQ3cXkSTvLfgfEREBWZYhe3kZKl/NsZ3pOjwW8zBW5K4BIMCG2u+nCBFJ/h0xK+ohe54FX30OGAyAK3nLMsoO/oCKi7kwhte9Xq4a76M330NAOzlGRDS8ZvH06dMBQHN9HdDOa+hJzNEzfPWc7QxX+juRI3Rb3B44cACdO3dGTExMvdsoigJJkmAwGLxy2ztZlpGXl4eoqKhG18xzFz3keGtod/zdfzG+LNyKr4t3olL5fSmWtn7XYkjYnbjFvxvMRrM9R8upE64VtleQL2TBGF3758fb76O330NAWznm5uY2uO8rr7yCMWPGaKqvA9p6DT2FObqfHs7ZjWlKf/eUjIwMVdolz9BtcVtSUgKbzebQyUEQBK+cRARBsMfk7XtI+3qOLfwSMC12MiZGj8UFaw6sig1hhlBEm6KgKEqtNpXKiqY1aDBAKa+oMwe13kdvtqelHBsbkc3OztZcX69uSyuvoSfbYo6ea9eXz9mOtu1sf3c3V26VS9qn2+KW9MlP9EOiX+tGtxPMfo1u0yBZhsDlwIiIiHwOi1vSJXOrRNjy82rcsMEpsgxzfIJ7gyIiIk3Zv3+/V9vjSLF3cCkw0qWwgYOdXwasmiAgoNMNMMXEujcoIiIi8jiO3JIuBd7QGcaICNjy853fWRAQPnioQ5tKJcWQiooARYEYEgJjaJjz7RERkao6dOjQ+EZNxIvWvIfFLemSIIqIGjsJF9atcm4E12CAuWUrBHbpVu8mis0G2y8/4nzaWlQeO1rjOfM1bRA+eBiCb+kJ0Wx2NXwiIiJyEaclkG6F9OqLiFH3AI5eAWwwwhgRiRZ/ehpCPUviVJw6gTNzH4VlwxuoPF77r3DL6VPIeXUtTs15GGW8yxkREZHXsbglXYsafS9iJqcARmPVV10MBgCA/3Vt0XrBknqnFpQfO4rzixdAKioEFLn+EWFJglxWiswXlqD0gHcvViAiImruOC2BdC9s4GAE9+yN4t07UfDlZtjyLv7+pMGA4B69ET5oCPyva1vvMax5F5H5j6VQJJvj0xxkGVmr/oXWC/4Kv9aJTcyCiIjUVlRUhEOHDqGkpATBwcFISkpCaGio2mHRVVjcUrNgCApG+F3DEDZ4KKTCQshlpRDMZhhCQiH6Nb4mbsGXn0GxWZ1fgUFRcOmTDxH/8KMuRk5ERGr75ZdfsG7dOmzYsAGVlZUwGAyQJAl+fn6YOHEiZsyYgRtvvFHtMOkyTkugZkUQBBjDw2Fu0RKm6BiHClvZYkHR9q2AK3fOkSSUfL+3akUFIiLyKYqiYPny5ejTpw/eeustVFZWAgCky7d3r6ysxNtvv40+ffpg+fLlUFxdgpLcisUtUSNK931bNWrrKlFE0Z6d7guIiIi84sUXX0RqaioURYHVWvfvAYvFAkVRsHDhQrz00ktOtxEcHFzjy2g0YuTIkU0NvVljcUvUCEtWpuMrLtRFkmDNznRfQERE5HG//PILFixYYB+lbYwsy3j22Wfxyy+/ONVOSUmJ/auwsBBxcXEYN26cKyHTZZxzS9QIubLC9budAYCiQC4vd19ARD6grEzC3j0luJBlQWWlAv8AEde19UO3W4JhNDbhj0UiL1m3bh2MRmO9I7Z1MRqNWLdunUsjuADw+eefo6SkBPfcc49L+1MVFrdEjRADAiEIAlwubwUBYlCQO0Mi0qysTAs++7gA3+yqmmcuK1Ur54li1d+IAQG5uGNwGAYPDUdIqEHlaInqVlRUhA0bNjhV2AKA1WrFhg0bsHjxYpdWUUhLS8OECRMQEBDg9L70O05LIGqE3zXXQpFl1w8givC7po3b4iHSqp8OluLZp85iz84i2GxV12DKUlVRK0mALAOlpTI++/gSnv3zGWRlWtQOmahOhw4dsl885qzKykocPnzY6f0uXryIjz/+GA888IBL7dLvWNwSNSKoS1cYgoJd3l8QDQjp2deNERFpz9HD5Vj+9yxYrQoam6JoswGFBRL+uuAc8i424WJNIg8pKSmBweDaJwsGgwHFxcVO7/fWW2+hXbt26NGjh0vt0u9Y3JJPkysrUZ5xBGUHf0DZzz+i8vxZty/FIhgMCLtzSP13OGuIwYCQfrdD9Pd3a0xEWmK1yHhxWRac+YBDloGyMhlrV17wXGBELgoODnb4QrKrSZKEkJAQp/dLS0tDSkqKS21STZxzSz7JkpWJwq1fomjn11AslVW30FUUQJZhbtka4XcNQ3CP3g6tY+uIsDsGo2j7VtgKLsHh3+CCANHfHxHDuKQL6dt3e0tRWeH81B1JAjKOVCDzvAUtWpo9EBmRa5KSkuDn5+fS1AQ/Pz906tTJqX1++OEH/Prrr7j//vudbo9q48gt+RRFUZC36V2cmfc4CrdvqSpsgd8n9AGwnD+LnNf+g9N/egSVp0+5pV1DcDBaPDm/anqCIx9ViSIEPz+0mPsXmKKi3RIDkVZ9+Vlho1MR6mM0Alu+KHBrPERNFRoaiokTJ8JkMjm1n8lkwsSJE52+mCwtLQ3Dhw9HXFycU/tR3Vjcks9QFAUX31qPS598WPVAQ3cMkyRIJcU4t+RZVJw66Zb2zfEJaJ36PPzaXFf1gKGODz4uF77mFq3QesFf4V+9LZFOFRbIOHva9QvDbDbg229K3BgRkXvMmDEDNifvTGmz2TBz5kyn21qxYgU+/PBDp/ejurG4JZ9RvGs7Crd+6fi0AEWBYrUic9kSSKWl9W9mszk8T9cYGYWWf0mF/6N/QkjffhD8f1+uRTD7IfjWXmj17GIkLv47zAktHIuTyIeVuqEuLSuTedtS0pwbb7wRqampEEXHSiVRFPHcc8/hhhtu8HBk1BjOuSWfUP7bceS+meb8zRQUBXJFBYq/2YnwO4cCAGSLBSXf70Xhl5+h8tyZqikNoghTbBzCBg1BaJ/bIAYENnhYMb4FYm7uhriUGVCkqrWOBFcuOCMiIs167LHHIAgCnn322Xpv6GAymWCz2ZCamopHH31UhSjpavxtTJpmyc5E9ssvwdKUubM2Gwq+2IywQUNQtGMrLm58C4rVghqTBGUZ1uwsXNzwBvLeeRPhw0chcuQYCA78xS64uFwMkR40YZU8u8BAEUJTbnFN5CGCIOCxxx7DwIEDsW7dOmzYsAGVlZUwGAyQJAl+fn6YOHEiZs6cyRFbDWFxS5pVefokzi99DrKLC2lfyZZ3ETn/eRnF3+xqePRXskGRgEsfbYI1OwtxM2Y5VOASNVdh4SJaJ5px9oxr826NRqBHb+cr5PJyGcWFEiRZQXCwgXc7I4+68cYb8dJLL2Hx4sU4fPgwiouLERISgk6dOrl0JzLyLBa3pEm2/Dyc//sSyBUVzk9FqIsgoHjPTse3l2WUfLcXxsgoRI+b1PT2iXRs8LAwrP93rksrJthswMDB4Q5tK8sKDv1cjq1fFuPnH8trnBpatTbjruHh6NE7GGYz/yAlzwgNDeVNFnwAzwCkSZc+/QhyRbl7ClvA8YvQauwjoeCzj2G7lO+eGIh06paeQfDzc/7XicEAtO/oj5atGl/j9kK2BU8/cRbLX8jBLz+V1zo1nDtrwfp/5+DRmSdxcH/9F5ASkf6xuCXNkSsqULTra7i8cKYbCQYDCrdvVTsMIk0zm0U8+qcEODODRxSBgEARf3ik8XU9z5+zYOHT55Cba62+V0udJAmoKFfw4rIspO92/vanRKQPqk9L+OSTT7Bt2zacOnUKvXr1wty5c+3PPfjggygoKLAvwxETE4NVq1apFSp5SfHePVAkF0ZaPUCx2VC49Yuqi8t44RhRva5PCsCcuQl46Z/ZUGSlwb9NjUYgOMSAJ+e3RFR0w4vkl5ZI+Pvi86iskJ1ZBRD/Xn0B0TFGtO8Y0PgO1OxlZGSoHQK5kerFbWRkJMaNG4eDBw+iuLj2X9rz5s1DcnKyCpGRWipPnwRk9Udtq8klJZAKC2CMjFI7FJ+hKAoqMo6gcOsXqDx1EnJlJQQ/P/hdcy3CBw6Gf8dOvDpeh27qGoTnlrbGZx9fwje7iyGgapRVli/fIRuAv5+IOwaHYvCwCIQ6cBHYjq+LUFoiOT2zSFGAD97Lx5PzW7qUCzUPrC/0SfXitnfv3gCAEydO1FncUvMjl5W5b66tm8jl5WqH4DNKD+zHxY1vwHohu+qz5yuqEtvFXJTu+xammFhETbgfwd26qxgpeUKLlmZM/0McJtwfjfTdxbiQbUVlpYKAABHXXueH5FuDYTI59oeNLCv4cnNBgzcjrI+iAId+KUdOthWx8c7dQpWIfJvqxW1jli9fDkVRkJiYiMmTJyMpKUntkMjDRH9/QBDcU+AaDG6Zuyv4+TU9lmagYMvnuPjWa7+/d1cPt13+3ppzAdkr/oHoifcjfPAwL0dJ3hAUZMCgu8KbdIxDv5SjsND1/ms0Atu3FWLcpOgmxUFEvkXTxe3jjz+Otm3bAgC2bt2K1NRUrFixArGxsbW2zcrKQlZWFgAgNzcXpZdvtyo38FmWoiiQZRmyLHvlI9LqWBqKyd18MUdjXEJVUerKcM2VDAYEXJ8ES1YmpPw8lw8jmM0QQ0Jr5eat99Hb7yHgWo4l335Ts7BtjKLg4oY3IAQFI7hnH5dzNJlMjcbqK69hU+gxx/PnKmE0CLDKrv2ha7MB585UNik+vb+PzeH3UkP279/v1fY4DcI7NF3cXjlKO2zYMOzatQv79+/H0KFDa227du1apKam2r+fMGECACA7O9vzgTopJydH7RA8rik5Ku06uLZ015VMJhh79wMGDYGYvgvSF5+6NoJrMEDsdisu5NUujvk+/k6xWlC+/t8u3R4597X/oKRlIgRz48tB1SUlJQWANvs6wJ+Tpsi7aIXSxE9wCgsr3fKzoff3Ue/5UfOi6eL2aqIo1nuimzlzJkaOHAmgauR2y5YtAID4+Ph6j6coCmw2G4xGo9f+Qs7JyUFsbKx9BQhP880c43Ghew+U7vvWpSLXr217xEz/A0xR0RBMJkhD/g+nv/jUtVAkCQn/NwrmK36OvP0+evs9BJzPsXjPTpS7OtIuSQg69RsCevWtM8fGCpO0tDSkpKRoqq8D/Dlxh5iYQghCPqouRXNNeLh/gz8bjdH7+6i130tq/ZHaoUMHj7fBFRm8R/XiVpIkSJJk/4jCYrFAFEVcunQJOTk59h+4bdu24dixY5g9e3adx0lISEBCQgIAIDMzE+np6QDQYGdVFAWiKEIUvXtf8+o2vcFXc4wccTdKf/jepeK28rdjOPf0ExBMZoTc1h9hAwcj/K5hKPhis3OjtwYjgromw79V6zqf9tb7qNZ7CDieY+GXn7k+t1mSUPjVZwjq08+lHK1WKwBt9nWAPydN0eY6f1itrhe2RiNwXTt/t8Sm9/exOfxeouZD9eL2nXfewcaNG+3f79mzB3fccQfGjBmDdevWISsrC0ajEa1bt8YzzzxjL2BJ3/xaJyJh1hxkrfiny1MUFKsFRTu/RtG2rxBwczcEdu6Csp9/dKwIMxjgl3gN4mbMcqnt5kS2WGA5e7pJx7CePwe5sgIwBrspKtKDdh38ERdvwoVsq0v7SxLQb0Com6MiIq1TvbidNGkSJk2aVOdzL774opejIS0J6todLf70NLJX/hNyZaVrI4OXPyov//knmFq0QGi/ASj6ekvVkE5dH6MbjIBkQ9DNyYibORuii/NAmxO5vMw9xykrA4JY3NLvBEHAXcPC8dZruU53f1EEbk4OQkSk6r/mSEcURUFxcTFKS0sRFBSEkJAQjj5rEG+/S5oWmHQj2ixfg9gHZsKceI3rB5JssGZlwnYxF9e88BLCBw+DGFDzzkWCyYzQ/gPQevELSHjkcRa2DhKM7llDVDBxLVKqrU+/EMTEmuDsDQINRgFjxkV6JihqdnJycrBs2TK0b98erVq1QseOHdGqVSu0b98ey5Yt4wV5GsM/aUnzRLMZoX36IbRPP9gKCmC7lI9zzy8ELBbnDmSzoeznHyEVFyN63CREjRkHW34e5PJyCP7+MEZEsqB1gRgQAMHsB8VS6fIxBJMZYmCQG6MivfDzF/Hk/JZY9MxZFBVKjY7gCkLVSoKP/SkBrVpzfWpqGlmWsWDBAqxcuRIGgwGWq37v5OTkYOnSpViyZAlmz56N1NRUr81dpvrxHSCfYgwPhyXznOsXLxkMKNjyOQBAMBphio2D3zVtYI6LZ2HrIkEUEdrv9qqpHq4wGhHStz8E/kKgekRGGZH6fGt0uL7q0xZDHT9qolhV2EZFG/H0wla48aZAL0dJeiNJElJSUrBq1SpIklSrsK1msVggSRJWrVqFlJQUr64ZTHXjbxPyOYVffd6kK/NLvv0GUpl75olSlbA7Brt+0w2bDWED73RvQKQ7oWFGPDm/BZ5b2gK3DwyFf8Dv8xwNBuCmroGY+3QLvPDSNbiunb+KkZJeLFy4EB9//DFsDp7bbDYbPv74YyxYsMDptk6dOoXhw4cjMjISsbGxmDJlCoqLi50+DlXhtATyOZbszKYdQJJgu5gLQ1Pm8FIN5hYtEdilK8p++RmQnChyDUYEdEqCuWVrh3+BUPOW0NKEydNicH9KLGw2BbKswGzmOA25V05ODlauXAnJyYEUm82GlStX4tFHH0VMTIzD+82YMQNxcXE4f/48KioqcM899+CZZ57B8uXLnYycAI7ckg9SnJ1rWwe5otwNkdCV4v/wCEyxsY5PTzAYYYqJQfzDj3k2MNIto1FgYUse8frrr8Pg7FWMlxkMBrz++utO7XPy5ElMnDgRAQEBiIiIwD333IOff/7ZpfaJxS35IMHc9ItErl4pgZpODAhEq/nPwa/NdVWTH+tbHufyc37XtEGr+c/BEMQLyYhIOxRFwZo1a+qdY9sYi8WCl19+2albR8+ZMwdvv/02SkpKcPHiRbz33nsYOnSoS+0Ti1vyQX6J19RfODlAMJlgiolzY0RUzRAUjFZPL0TCnCcRkNS56kFRrBrNvXzBWEDSjUh4bG5VYRscomK0RES1FRcXN3lpr5ycHJSUlDi8/e23344jR44gLCwMMTEx8PPzw6OPPtqkGJozzrklnxN+5xBkH88AnPir2M5QdWW+6M8LTjxFEEUEdemKoC5dYc27CMv5c5AryiH6+8PcohVM0Y7PQyMi8rbS0lK3HKekpAQhIY3/AS9JEoYMGYIHHngAu3fvhsViwZw5czB58mS8++67bomluWFxSz4nqGt3iIGBkJ34q9hOsiFs4F3uD4rqZIqKhikqWu0wiIgcFuSmqVLBwY7dcfHSpUs4d+4cHnnkEfj7+8Pf3x8PP/wwBgwY4JY4miNOSyCfIxiNiJ44xfmpCQYjgnv1hV+r1p4JjIiIfF5ISAhiY2ObdIzY2FiHi9vo6Ghcd911WL16NSwWC0pLS7Fu3Tp06dKlSTE0ZyxuySeF9umHyNFjHS9wDQYEdLwecdP/UOspqaQElz7/FGdT/4JTf3oEp/70CM4umo+CLZ9zPVwiomZGEAT84Q9/gNnFG/uYzWY8/PDDEJwYgPnggw+wY8cOxMfHIzExEZmZmU6vuEC/47QE8lmRo8bAGB6O3A2vQ7Fa676xg9EIyDJC+92BmPumQrhimSqptBQXN7yO4vTdVUXyFeus2i7movL0KeRtfAsht/VH9PjJnKdLRNRMTJkyBUuWLHFpX0mSMGXKFKf2uemmm7B161aX2qPaWNySTwvtfweCevZB0d49KN7yBSznztgvNDOEhyPsjrsQ2m8AjOHhNfazXcrH+aXPwXrxYv13O7PZoAAo2rkdFceOouVTz8AQEurZhIiISHWxsbGYPXs2Vq1a5dQNZoxGI2bNmuXUDRzI/Vjcks8TzWYE974N4f0GAIoCpbISgtkMoZ4FuOXycpz/+xJYL+Y6dhtfyQZLViYy//E8Wj6d6vhNCoiIyGelpqbizJkzDt+C12g0YsSIEUhNTfVCdNQQzrklXRFEEWJAQL2FLQAUfPU5rDkXHCtsq0kSKs+eRdEOfmxERNQciKKItLQ0zJo1CwaDod45uGazGQaDAbNmzUJaWhpEkaWV2vgOULOiSBIKt3wOSI5/zGQn2VDwxWdO3XWGiIh8lyiKWLRoETIyMjBv3rxaqyjExsZi3rx5yMjIwKJFi1jYagQ/X6VmpfTHA5BKil3e35aXi4ojh4CIKDdGRUREWhYTE4MnnngCjz/+OEpKSlBSUoLg4GAEBwc7tSoCeQf/xKBmpfzwrwCacOtegwHlRw65LyAiIvIZgiAgJCQECQkJCAkJYWGrUSxuqVmRy0oB2Ym5tldRZBky174lIiLSLBa31KwIJpPzdzarcQABgomzeYiIiLSKv6WpWTFGRUMwGKA4sW5hDYIAY2Q0rO4Ni4iIVJSRkaF2CORGLG6pWQnpfRvyN73r+gEUBcE9eqG8lFMTiIh8XXJystohkAdwWgI1K6aoaAR27gK4slyLwYDgW3ryLmVEREQaxuKWmp2I4aPst+h1iiwjfMj/uT8gIiIichsWt9TsBHTshOj7pjp3YZkgIHb6H+Df5lrPBUZERERNxuKWmqXwQUMQM+0hQBABY/1TzwWjERBFxM18BKF9+3sxQiIiInIFLyijZius/x0ITLoRhV9vQdHXX0GuqAAMhqonJQliYBDCBt2FsP53wBjJO5IRERH5Aha31KyZYmIRPW4Sou4ei/JjRyGVFEOAADEkBAHtO1aN3BIREZHP4G9uIlTd3CEw6Ua1wyAiIqIm0m1xGxwcDKPRCKWBq+Krn2toG3dSFMUekzfbvPJfb7THHN3f3pX/eoOWcjQ2MnoeHx+vub5e3ZZWXkNPtskc3d/elf96oz0tnbMb6+9EjtDtT1HXrl0REREBmwN3opIkyQsRVYmIiIAsy5Bl2WttAszR3dTI0Zv5AdrJMSIiosF9pk+fDgCa6+uAdl5DT2KOnqH38xngWn8ncoRui9sDBw6gc+fOiImJqXcbRVEgSRIMBgMEZ5aFcpEsy8jLy0NUVBREV24i4ALm6H7eztHb+QHayjE3N7fBfV955RWMGTNGU30d0NZr6CnM0f30fj4DmtbfiRyh2+K2pKQENpvNoZODIAheOYkIgmCPyVsn5ivbZo7ua0eNHL3ZnpZybGxENjs7W3N9vbotrbyGnmyLOXquXT2fz6rbdra/EzmC69wSERERkW6wuCUiIiIi3WBxS0RERES6weKWiIiIiHSDxS0RERER6QaLWyIiIiLSDRa3RERERKQbLG6JiIiISDdY3BIRERGRbrC4JSIiIiLdYHFLRERERLrB4paIiIiIdIPFLRERERHpBotbIiIiItINFrdEREREpBssbomIiIhIN1jcEhEREZFusLglIiIiIt0wqh0AEfk+xWZD+ZFfYSssBCQJYnAIAjp2giEoqMZ2cmUlyg//Cqm4CABgCAlFQKcbIJjNaoRNREQ6xOKWiFxmy89D4ddbULjtS8hlZRCMVacURZIAUURo79sQNmgIBLMZhdu+RNGObVCsVggGg307wWRGaL8BCOp/B4wtW6mZDhER6QCLWyJyScn+75C9+kVAEACbDQCgWK2/byDLKNqzE0U7v6763mj8fTtZtm+mVFag8OuvULjlc8RMmY6wAYO8lgMREekPi1siclrJ93urCltFaXhDSfr9/y8XtnW6/Fzu669AkWwIHzTEDVESEVFzxAvKiMgpluxMZK9Z0Xhh6wpFwcW3XkP5saPuPzYRETULLG6JyCmFX30OQPBcA4KAgs0fee74RESkayxuichhckUFinZtB6QGphg0uREZpQd/gO1SvufaICIi3WJxS0QOK/1hX9VKCJ5mMKA4fY/n2yEiIt1hcUtEDrNdyoMgeuG0IcuwXcrzfDtERKQ7LG6JyGGKzQYPXEZWR0MKFKsHpz4QEZFuaWIpsE8++QTbtm3DqVOn0KtXL8ydO9f+3OnTp7FixQqcOnUKcXFxmDFjBrp06aJitETNlxgYBAHwfIFrMEC86u5mREREjtDEyG1kZCTGjRuHwYMH13jcZrNh0aJFuPXWW7FhwwZMmDABzz//PAoKCtQJlKiZC0i6oeaNGjxFkhDY6QbPt0NERLqjieK2d+/e6NmzJ0JDQ2s8/vPPP6OyshL33nsvTCYTbrvtNiQmJmLPHl5oQqQGv5at4de2fdVdyTzIGBmFgKQbPdoGERHpkyaK2/qcOXMGbdq0gXjFBSzXXXcdTp8+rWJURM1b+F3DPFvcGowIHzzMOxeuERGR7mhizm19ysvLEXTVvLugoCDk5OTU2jYrKwtZWVkAgNzcXJSWlgIA5CvuYX81RVEgyzJkWYbg4ZGoK2NpKCZ3Y47u5+0cvZ0f0HCOgd1uQcCNN6H811/cv96twQC/xEQE336Hw6+vyWQCoK2+fmU8zfXnxBOYo/s1h3M2NT+aLm4DAgLsRWq10tJSBAQE1Np27dq1SE1NtX8/YcIEAEB2drZng3RBXcW53jBHfag3xzETIJa+AvnUCcBd694aDBBi4yDel4KcPMdv4JCSkgJAm30daOY/Jzqi9xz1nh81L5oubhMTE/H+++9DlmX71ISTJ0+iX79+tbadOXMmRo4cCaBq5HbLli0AgPj4+HqPrygKbDYbjEaj1/5CzsnJQWxsbI2pFp7EHN3P2zl6Oz/AsRyVp57BpU8+RNFXn0OurATkq4pcoxFQgKBbe0I0m1GSvrvqBhBXF8MGAwSDAUF9b0fUvRNg8Pev8XRjRWtaWhpSUlI01dcB/px4AnN0P62ds7X6Ryr5Fk0Ut5IkQZIk+8cUFosFoiiic+fOMJvN2LRpE0aNGoVvv/0Wp0+fRp8+fWodIyEhAQkJCQCAzMxMpKenA0CDnVVRFIiiCFEUvfrRSHWb3sAcPcdbOaqVH9BIjmYzoseMQ9SIu1Gy71sU7dkJ6dIlKLIEQ3AIgrvfipC+/WEICgYAxEycguK9e1C8dw+kokIAgCE0DCE9+yC4Z2/IBqNLv9Ctl1dv0GJfB/hz4k7M0XOawzmbmg9NFLfvvPMONm7caP9+z549uOOOOzBnzhzMnz8fK1euxMaNGxEbG4t58+YhPDxcvWCJqAbBZEJIr74I6dW3we1Ef3+E3T4QYbcPrPWcoiiQbbxpAxERNZ0mittJkyZh0qRJdT7Xpk0bLFu2zMsREREREZEv4lo7RERERKQbLG6JiIiISDdY3BIRERGRbrC4JSIiIiLdYHFLRERERLqhidUSPOXixYsNPm80GhEREYHc3FzYvLgMkTcXqWaOnuOtHNXKD9BGjo31Y0e2ae6voacxR/fR+/kMaHp/J2qMLovbwMBAmEwmbNq0Se1QaiguLsb+/fuRnJyMkJAQtcPxCOaoD1rL0WQyITAwsNbjWu3rgPZeQ09gjr5Pi/nV19+JHCUoiqKoHYQnFBQUoKysTO0wavj5558xZMgQfP755+jcubPa4XgEc9QHreUYGBhY781btNjXAe29hp7AHH2fFvNrqL8TOUKXI7cAEB4errnOUf2xT0xMDFq0aKFyNJ7BHPXBl3LUYl8HfOs1dBVz9H16z4+aJ15QRkRERES6weLWixISErBgwQIkJCSoHYrHMEd9aA45elpzeA2Zo+/Te37UPOl2zi0RERERNT8cuSUiIiIi3WBxS0RERES6odvVErTEarVizZo1+PHHH1FcXIzo6GiMGzcO/fv3Vzs0t1q5ciX27duH8vJyhISEYPDgwRg3bpzaYXlEUVERHn74YSQkJGDZsmVqh+M2y5cvx86dO2E0/n5qWLVqFWJiYlSMyrewv+sL+zqR72Fx6wWSJCEyMhKLFy9GXFwcDh8+jOeeew5xcXG4/vrr1Q7PbUaOHImHHnoIfn5+yM3NxcKFC9GiRQv07dtX7dDcLi0tDa1bt/b6XZK8YdSoUZg6daraYfgs9nd99Xf2dSLfw2kJXuDv74/77rsP8fHxEAQBSUlJ6NSpEw4fPqx2aG6VmJgIPz8/+/eCICAzM1PFiDzjl19+QWZmJgYNGqR2KKRB7O/6wb5O5Js4cquCiooKHD9+HCNGjFA7FLd77bXX8Mknn6CyshKxsbEYMGCA2iG5ldVqxdq1a/H444/jxIkTaofjEV988QW++OILREdHY8SIEbjzzjvVDsmnsb/7JvZ1It/F4tbLZFnG8uXL0b59e3Tt2lXtcNxu6tSpmDJlCo4fP469e/ciKChI7ZDc6v3330eXLl1w7bXX6vIX3ogRI/DAAw8gKCgIv/76K/72t78hKCgIvXv3Vjs0n8T+7rvY14l8F6cleJGiKFi9ejXy8/Mxd+5cCIKgdkgeIQgC2rdvD5PJhA0bNqgdjttkZmZi69atmDRpktqheEzbtm0RGhoKg8GAm266CcOHD8eePXvUDssnsb/7LvZ1It/GkVsvURQFa9aswcmTJ7Fo0SIEBASoHZLHybKMrKwstcNwm8OHD+PSpUv4wx/+AACwWCywWCyYMmUK1qxZg8DAQJUjdD9BEMD7vDiP/d23sa8T+TYWt16ydu1aHD16FIsXL9blibGkpATff/89evToAX9/fxw5cgSfffYZxo8fr3ZobtO3b19069bN/v2uXbvw9ddf49lnn9VN8bJ7925069bN/h5++umnmDFjhtph+Rz2d9/Gvk7k21jcekFOTg42b94Mk8mEBx54wP74vffeq6t1Ibds2YJ169ZBlmVERkZi9OjRGD58uNphuY2fn1+Nq8ODgoJgMBgQERGhYlTu9cknn2DVqlWQZRnR0dGYPHky+vXrp3ZYPoX93fexrxP5NkHh5xBEREREpBO8oIyIiIiIdIPFLRERERHpBotbIiIiItINFrdEREREpBssbomIiIhIN1jcEhEREZFusLglIiIiIt1gcUtEREREusHilog0raCgAAsXLsShQ4fUDoWIiHwAi1si0rSCggKkpqayuCUiIoewuCUiIiIi3WBxS0RetWvXLgiCgN9++83+2IgRIyAIAn799Vf7YxMnTsTw4cNx7bXXAgDGjh0LQRAgCAJOnTrl7bCJiMhHsLglIq+69dZb4e/vj507dwIAZFnG7t27azwGADt37kS/fv2wadMmAMBf//pXpKenIz09HQkJCarETkRE2sfiloi8ys/PD7feequ9kP3pp59QWlqKqVOnYseOHQCA48ePIzMzE/369UPXrl0BAO3bt0fPnj3Rs2dP+Pn5qRY/ERFpG4tbIvK6fv362YvbnTt3onv37hg6dGiNxwIDA9G9e3c1wyQiIh/E4paIvK5///44ceIEzp8/b59+cNtttyE7OxvHjh3Dzp070bNnT5hMJrVDJSIiH8Piloi8rlevXjCZTNi5cyd27dqFfv36ITIyEjfccAN27NiBnTt34rbbblM7TCIi8kEsbonI64KCgtCtWzesXbsWeXl56Nu3L4CqEd233noLJ0+eRL9+/QAAZrMZAFBRUaFavERE5DtY3BKRKvr164cdO3agS5cuCA0NtT+2fft2mEwm9OrVCwAQHx+P8PBwbNiwAXv27MG+fftgsVjUDJ2IiDSMxS0RqaJ///4AYB+hvfL/u3fvjoCAAACAKIpIS0vDyZMnMXDgQNxyyy3IzMz0fsBEROQTBEVRFLWDICIiIiJyB47cEhEREZFusLglIiIiIt1gcUtEREREusHiloiIiIh0g8UtEREREekGi1siIiIi0g0Wt0RERESkGyxuiYiIiEg3WNwSERERkW6wuCUiIiIi3WBxS0RERES6weKWiIiIiHTj/wNH5cunYMiSjgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ggplot(mtcars, aes('wt','mpg',color='factor(gear)', size='cyl'))+\n",
" geom_point()+\n",
" facet_wrap('~am')+\n",
" theme_bw()\n",
"\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Visualize 6-D\n",
" - x\n",
" - y\n",
" - facet (2 dimensions)\n",
" - color\n",
" - size"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(\n",
" ggplot(mtcars, aes('wt', 'mpg', color='factor(gear)', size='cyl'))+\n",
" geom_point()+\n",
" facet_grid('am~carb')+\n",
" theme_bw()\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## More?\n",
"\n",
"- Check [Hans Rosling's famous visualization of global population](https://www.ted.com/speakers/hans_rosling?language=en) (a dynamic graphing)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "python-notes",
"language": "python",
"name": "python-notes"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": false,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": true
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}