mirror of
https://github.com/gsi-upm/sitc
synced 2024-11-17 20:12:28 +00:00
3193 lines
229 KiB
Plaintext
3193 lines
229 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"source": [
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"![](images/EscUpmPolit_p.gif \"UPM\")"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"source": [
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"# Course Notes for Learning Intelligent Systems"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"source": [
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"Department of Telematic Engineering Systems, Universidad Politécnica de Madrid, © Carlos A. Iglesias"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"source": [
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"## [Introduction to Visualization](00_Intro_Visualization.ipynb)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"source": [
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"# More Comparison Charts\n",
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"\n",
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"Other charts can be created with libraries such as **dash plotly**.\n",
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"\n",
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"First, you should install dash:\n",
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"\n",
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"**conda install -c plotly plotly**"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import warnings\n",
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"warnings.simplefilter(action='ignore', category=FutureWarning)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"source": [
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"## Radar Charts"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"outputs": [],
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"source": [
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"import pandas as pd\n",
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"from matplotlib import pyplot as plt\n",
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"import seaborn as sns\n",
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"\n",
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"df = sns.load_dataset('tips')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"source": [
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"Calculate the average tip per day."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"slideshow": {
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"slide_type": "fragment"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"day\n",
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"Thur 2.771452\n",
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"Fri 2.734737\n",
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"Sat 2.993103\n",
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"Sun 3.255132\n",
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"Name: tip, dtype: float64"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"#Get a Pandas Series\n",
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"avg_tip = df.groupby('day')['tip'].mean()\n",
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"avg_tip"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"slideshow": {
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"slide_type": "subslide"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"['Thur', 'Fri', 'Sat', 'Sun']"
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]
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},
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"days = list(avg_tip.keys())\n",
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"days"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {
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|
"slideshow": {
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"slide_type": "fragment"
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[2.7714516129032254, 2.734736842105263, 2.993103448275862, 3.2551315789473683]"
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]
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},
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"execution_count": 5,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"avg_tips = avg_tip.to_list()\n",
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"avg_tips"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {
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|
"slideshow": {
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"slide_type": "fragment"
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|
}
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"['Thur', 'Fri', 'Sat', 'Sun']\n",
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"[2.7714516129032254, 2.734736842105263, 2.993103448275862, 3.2551315789473683]\n"
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]
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}
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],
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"source": [
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"#A simpler alternative\n",
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"days = list(avg_tip.index)\n",
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"avg_tips = list(avg_tip.values)\n",
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"print(days)\n",
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"print(avg_tips)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 14,
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"metadata": {
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"slideshow": {
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"slide_type": "slide"
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}
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},
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"outputs": [],
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"source": [
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"df_avg = pd.DataFrame(dict(\n",
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" r=avg_tips,\n",
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" theta=days))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"metadata": {
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"slideshow": {
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"slide_type": "fragment"
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}
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},
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"outputs": [
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{
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"data": {
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"application/vnd.plotly.v1+json": {
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"config": {
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"plotlyServerURL": "https://plot.ly"
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},
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"data": [
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{
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"hovertemplate": "r=%{r}<br>theta=%{theta}<extra></extra>",
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"legendgroup": "",
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"line": {
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"color": "#636efa",
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"dash": "solid"
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"symbol": "circle"
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"showlegend": false,
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"subplot": "polar",
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"theta": [
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],
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"type": "scatterpolar"
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}
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"layout": {
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"autosize": true,
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"tracegroupgap": 0
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"margin": {
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"t": 60
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"rotation": 90,
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"template": {
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"bar": [
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"error_x": {
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"color": "#2a3f5f"
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],
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"fig = px.line_polar(df_avg, r='r', theta='theta', line_close=True)\n",
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"fig.update_traces(fill='toself')\n",
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"fig.show()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"metadata": {
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"slideshow": {
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}
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"day\n",
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"Thur 17.682742\n",
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"Fri 17.151579\n",
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"Sat 20.441379\n",
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"Sun 21.410000\n",
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"Name: total_bill, dtype: float64"
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]
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},
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"execution_count": 10,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"#Get a Pandas Series\n",
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"avg_bill = df.groupby('day')['total_bill'].mean()\n",
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"avg_bill"
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]
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},
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{
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}
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"source": [
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"avg_bills = avg_bill.to_list()\n",
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6h/PBEp35cMyH8KTk2GYhSouFKPREmQ/vFmNEAAEEEECgVgHCk1rlOA8BBBBAAIE5LmDVJtlcQb1DuTnV06Qc23wKT+xZbFvj7ra4YlGXKpRyk8vPEUAAAQQQmKcChCfzdOIYNgIIIIAAAlMJWDNY3/N1aDCnbN6bd1DzLTwpAcejrrrb40GYYlsccyCAAAIIIIDAM0eA8OSZM5c8CQIIIIAAAvJ9P9g9Z642g61kiuZreFJ6NuuFYo1lHQKUSqabzyCAAAIIIDAvBAhP5sU0MUgEEEAAAQSmF7BddNLZgvpsic48x5rv4YnxW27S2RJTMh6RS0PZef5GMnwEEEAAAQQkwhPeAgQQQAABBOa5gC3TGRjKaSgzt3fRqZT5mRCelJ61NRlRe0uMZTyVTj6fQwABBBBAYI4KEJ7M0YlhWAgggAACCFQiYBUn+/oyKm1FXMk5c+EzEbfYF8SWtpR6hNjf9s+drbFiBY31bvGloIeLr+Cf7X8X5lkbF9vKeFFnggqUufDiMQYEEEAAAQRqFCA8qRGO0xBAAAEEEJhNAQtNMrlC0BR2rh6uK8UirqIRR1HXVcT+jjjBjjTpTEGRqDtpQNKWimlwJDdpsJIveErFI0FYlC889cfzVCj4yhU8eXM4WOlpj8uayrKMZ66+sYwLAQQQQACBqQUIT3g7EEAAAQQQmGcCVoFh2w+PzLFlOhaKxGOuEvYn6gY7/VglSRByPBVw2P8uVyVTybIdu1cQyowKZszFtgu2+2ZynrI5r+y9ZnrqWxKRoLKGZrIzLc/9EEAAAQQQqE+A8KQ+P85GAAEEEEBgRgWyuYIODmTlzZGusMmYq2QiEoQlNiQLLCy4yOStCqS2QVYSnkyFHgQ40WKAY0GOHRampLP2Z270hLGKnAXtiSDo4UAAAQQQQACB+SFAeDI/5olRIoAAAgg0uYAFEXnP1/6+zKxLWDBhFRS2k4xtiWzVJPWEJeMfqJ7wZPy1SmGKVajYFsIWoAxnCkHAM9vHws6Eoq7DMp7ZngjujwACCCCAQAUChCcVIPERBBBAAAEEZlPAghOrnrCKk9k6rErCApNUIhJUl1gA0ahKjjDDk/FeFvjYc1h1yshTQUouP3tBCn1QZuuN5r4IIIAAAghUJ0B4Up0Xn0YAAQQQQGBGBaw/SDqbV99QfkbvW7qZNWe17XbtsMDE+qzUthin8uE3MjwpjcJ29rFnsyDFjsF048Kgck9uPVAs1LEqGQ4EEEAAAQQQmJsChCdzc14YFQIIIIAAAip4nobShWBpzEwfFirYMhereCktzZmpMcxEeDL6WWxJT3sqGvQgsWe1kGimD7O2kCpiDVE4EEAAAQQQQGDOCRCezLkpYUAIIIAAAggo2CWm33bUmeEmp63JaBAk2H0tSCi3M06Yc3Vgv6Pf3eZosC+its6CTt3ia8HCRte5PP0EVvlhIUaxl0suCK5m8rAlUR2pWLClMwcCCCCAAAIIzC0BwpO5NR+MBgEEEEAAAdmOOkNPLZGZKQ774m7LWPIFTwMjefkzl1kEjzg0JP37F6PKjGrrkohLf/2XebW2zpRC8T62eqYtFVMs4hSXKs1ggNViS4mSEcVjxeVEHAgggAACCCAwNwQIT+bGPDAKBBBAAAEEAgGr9OgbygZb687EYUtWulpjwY45vUO5mbjlpPe47XZH135nYmDw2lcXtOXEGU5yRo2wqy0W7IhjNmY0E4dVvnS2RBWJsIRnJry5BwIIIIAAApUIEJ5UosRnEEAAAQQQmAEBC04GhnMz1nPDGpXarjMWDMzmjjNG+6OfuPrlryeGBc97jqeXvmRmgqSppth6oVjAZNsb9w/PTMBk/U/akizhmYFfO26BAAIIIIBARQKEJxUx8SEEEEAAAQQaK1AoeBrOFjQw3PjmsMmYq+72uPqGZi6oKad3/fci+t3vJ/b6eNXLPZ16yuyGJ6WxW6DR0RLTocGZqQzqaIkGS6moQCn39vBzBBBAAAEEGi9AeNJ4Y+6AAAIIIIDAtAJesB1xYUaWzdgylELBD/qazJXj2utc3bbNDfqs2BbCdtgCGceX4glfb3+rp+XLZmbJTCUm1lDXmrr2Dja+CsXmKxmLyGUb40qmhs8ggAACCCDQMAHCk4bRcmEEEEAAAQTKC1hwkit4OtA/qlNq+dOq/oT1NlnQkZiVHXymGuzIiKPLr3D1xA5H0aivjRt8taZ8OYrKV14PPuxqz15HsZj0tnMKWrly7gQoVhFiVSj7+zMN35FoQUdcsYhLgFL1W88JCCCAAAIIhCdAeBKeJVdCAAEEEECgKgHf95XNNz44sd1bWhNRHejPyJsj+cPBg44uusxVX5+jVMrX5k2+koni4NpbYkHvFzvue8DR7t2uolHp3LMLWnPEHHkA25XHlRZ2JIItnW1XnkYeCy1AibpySqU5jbwZ10YAAQQQQACBCQKEJ7wUCCCAAAIIzJKAhSe7DqYbevfutrisuqVvhhqdVvIwjz5WrDjJZh11dfnaeIKnyKiNdkaHJ3a9Bx9y9OTOYjPZ887xdOTaudEDpfSs1njXdZygF0ojj2U9ScKTRgJzbQQQQAABBKYRIDzh9UAAAQQQQGAWBGxnnYMD2YbucmPLPYbS+Rnb9rgSxj9sc/Xt64pByPLlno5ZN7GSZHx4Yp99eLujJ3YUzzvnLE9Hr5tbAUoy7harewYaF6DYzkjW6DdC/5NKXjU+gwACCCCAQKgChCehcnIxBBBAAAEEygtYJYiFGo1q2morO5Z2J7XnUHrOLNMxlRu+7+rmW4oByLHHelq2pBic2FIUG7P9sQqOZDwSNND1fD9oIlv84+vRx109+mixo+yb3+hp/bFzK0CxTGNJd1K7D6WDMTfiaG+JqiURUcTWDHEggAACCCCAwIwJEJ7MGDU3QgABBBBAoBgCWIPY/X2NqVCwxrDWh8O+wM+VI5NxdOW3XD203QmW55y8RVrQ46hUQHE4IJEfhD1WYWG9YOznQbASBCzFHXi2PyLd+0AxmTjnTdLGDd6cqqyxcVlwta+vcY1kF3YmFItY4DRxa+e5MueMAwEEEEAAgWeaAOHJM21GeR4EEEAAgTkvsPPASEPGaKGD9d+wL+6zfdjSElvKMjQU1Re/XNC+/VIy6eukzY6SLV5QmWGVJUEiMu6YbNmOfaRYneLoyScd3f9gMTg4608dnf7ciDI5T+lcQZms1/DdbyqxXdyVCLYythCoEQf9TxqhyjURQAABBBCYWoDwhLcDAQQQQACBGRKw5TrW56QRX6gtrOhqizV8y+PpqKwawpbc2B8LOu590NOXL/KUTjvq6ChuRRyLll/PMlV4Mvreu3a5hwOUV73C0/NPk5KxiBJxNwhmbNmP/ckVyt+vUdNvPWcsQLH+NmEfiZgrawbs0v8kbFquhwACCCCAwKQChCe8GAgggAACCMyAgAUnw5m8+ofzod/Nvki3JRvbrHSqQVtg0pKMBoGJhQSl0OIPtzu6+tpiX46lS3wdV0V/kkrCE7vu7j2O7ru/eI+Xv8zTac8qVnnY0qVSiGOhko3JeszkZyFI6WmPazCdVzYXfgVKR9D/JEqAEvpvFBdEAAEEEEBgogDhCW8FAggggAACMyBgwYI1cA37iEUddbbEtb9/ZpfqWCjR0RoLHifzVJVHqcDihz929KvfFPcePupIX6tWVhccVBqe2PX37nN0z73FAOXFp/t60fMLY4itMMOClESsOJ7+4cZUgkw3r9ajpG8w25AqGGtQy+47Yf9WcT0EEEAAAQQIT3gHEEAAAQQQmHGBRi3XsS/NtjRkb+/MBScWRnS0xBSPueofyik9qqIil5O++S1XDz7kKuJKG07w1N1d/ZKVasITm8x9B1zdfXexB8qzT/X0ij+aPKyxHiw2duuPMjCcm9GdiCzk2Ncb/u5HNg89LN+Z8d9pbogAAggg0HwCVJ4035zzxAgggAACMyhgu+vYl3XrdRL2YU1Ddx0Mv5plqnFa8JBKRILqjZHM2AqPgQFHF3/d1b69juIJXydu9NXSUn1wYveuNjyxcw4cdHXnXcUA5ZSTPP3xK6eudrGtfu0eIw1aRjWVX6Pma0F7PAiz2H0n7N8wrocAAggggMDTAoQnvA0IIIAAAgg0UMDCk90H05NtKlPXXW073D296aA5aqOPtlRU7aloEJoMpceGJnbvJ3c6uvwbroaGHbW3+9pkjWFjtQ+slvDExnGo19G2O4pLeLZu9vSaM6dfLtSajMr6hgyM5DU4En4vmvHzYlU7i7qSoS/fsua89j4QnjT6N4HrI4AAAgg0swDhSTPPPs+OAAIIINBQAduKd3A4HzQMDfPobotpYDivfAN2cRk9zlTCVVdrPAgWLGCY7Lj7HkdXXl3sJ7JooacTjq89NCldv9bwxM7v7XV0x12uPE/auMHTn/5J+X4rFgy1pqJBX5KRbPnP1zOXUddRe0tUhwZz9VxmwrnWMLitJSrXkhQOBBBAAAEEEAhdgPAkdFIuiAACCCCAQFGgEU1irVKi4CnYPaaRR2drTIWCp8FJKk1K9/3pTY7++xfF4GTtGl+rjwgneKgnPLGx9PU7uuMON3A6Yb2nN/5p+XFZ5NCajCgScdU3FG6wMX6erOLFesKEvfOSVZ+wdXEjfyu4NgIIIIBAMwsQnjTz7PPsCCCAAAINE2hEk1jbkti+eDeif8poiIUdiWBb5eFxfU1Kn8nnpauucYNtgq3QwapNFi4oH1BUil1veGL36R8oLuEpFBRsk3zWGysbn/VDsT/7+8PvUTP6+W0LYwvArB9OWIe9H900jw2Lk+sggAACCCAwRoDwhBcCAQQQQACBkAWsz4mFD31D4VaHNKrhaOnxbfeexV2JYNvjXH7y5TeDQ44uu9zVrj2O4vFif5O2tvqX6oyegjDCE7vewJCjbdsc5fOO1h3l6dy3VBZUxKJusIvRvt5MUD3UqKMR89nVWmzqS/+TRs0a10UAAQQQaFYBwpNmnXmeGwEEEECgYQJWdWIBRL4Q3hfvhR1x9Q3nlctXFgBU+3DJmKuO1ti02x7v3evo4stdDQ46amv1tWmjHwQoYR9hhSc2ruEhR7fd4SiXc3TkWk/nnVOZny3jWdSVCJbwhFkdMtoqHnWD/icHQqxyiUVs++oEy3fCfim5HgIIIIBA0wsQnjT9KwAAAggggECYAlZ1ks17oX4htoamtqtO2I1nS89tu+lYtcWhabZTfvAhV9+8ylUuLy1Y4OmE9b7c4sY2oR9hhidBgDLi6PZtjrJZR6tX+Tr3nIJi0cqGbctrbD4btRuP2dsR5vWtasaCGapPKptjPoUAAggggEAlAoQnlSjxGQQQQAABBCoUsKqTAwPZ0CpEohEn6GOxry9T4Qiq+5hdO1/wptxNx672i19G9OOfFndxWb3K09q14VebjB512OGJXXsk7ei224sBysoVvs47t6B4rDIrC69sHsLeIad090WdCR0azIZWqWTBiYU+NI+tbH75FAIIIIAAApUIEJ5UosRnEEAAAQQQqFDAqhT2hxh0WPPWvmELY8IPLKw/RjpXUHqa7Xmv/Jaru+8tlpjYzjWLFoU/jvG0jQhP7B7pdLECJZ1xtHyZBSiekonKnicZj8iWNvU2YCeeRizfsUDGqok4EEAAAQQQQCAcAcKTcBy5CgIIIIAAArKqE6sgCKtHhjX+TEQb84XdlnbYMqDMFMHJ8LCjS7/haudOR9Fosb9JR3tlQUO9r0KjwhMbVyZbrECxIGXJYl/vOM9TMlnZc1l40poKt0dJyaqrLRbMxUi2UC9fcD4774TCyEUQQAABBBA4LEB4wsuAAAIIIIBASAK2/GVvb3jLaxqxG4s9amdrLFhWNNVWxPv2u7rkckf9/Y5SKV8nbvKVqLBCoxZK681hWx67joI+HVblkc4W5Pl+0Oul+KeygKOS+2dzxQBlZMTRooWe3nGer5aWyq7fmowo4rrqH85VcquqPhP2fNvOSdEI1SdVTQIfRgABBBCAn2jjAAAgAElEQVRAYAoBwhNeDQQQQAABBEIQsC1tbWcW+9IfxtHZElPO8zScDud6pTG1JCLBcg4b62THw9tdXXGlq2xO6ukpNoaNRMJ4ouI1rA+H9Q9xneLfdpQCEk/FsMSWsdjypyBMsf8LQpXi+baDkYUqwd91bCOcyxcDFKuw6enx9c63ecEOQpUcttwpk/c0kgl3bsIOZlLxSLCDkm1BzYEAAggggAAC9QkQntTnx9kIIIAAAggEAplcIbQddhrVJNZCk86WqPZPsTXub37r6vs/KlYqrFzhad1RlYUJ5V4Bex6rgIhEHPleMfjIFSwqseRk4tlTLtux6hQpuJb9cdximGIVP4UatoW2AGXbNkeDQ466On392ds9tVe4NGlhZ0J9g1nlarjvdF62PfKh/qzydQRDo69vW1zHYyGmX+Umm58jgAACCCDwDBUgPHmGTiyPhQACCCAwcwJWCTE0kp92x5pqRmM74Axl8srmvGpOm/azVnuwpCep3QfTk37u2utc3batGJysP84L+oHUc9jym3jUCapcLAiwkKNggUkFl62054lVoxSDlGI4k80VgoqVSu5RerZ8Qdp2h6uBAUednb7e/lZP3V0VDFJS2MtsbEzWq6QlEQ1654Rx2E5B1qfFKn04EEAAAQQQQKB2AcKT2u04EwEEEEAAgUDAwpN9vRnZ0p16j0ZVnVj/iwP92QljtL4fl1/h6okdxcawGzf46uyo4zkcCwAiirpOsJNPLRUhlYYn462tsiUZiwRhTaaK5VMFC1DudIMeL60tvt75dk8Lesob2HIYa7wbZp8be6Ywty62ebAqGbYtrvc3k/MRQAABBJpdgPCk2d8Anh8BBBBAoG4Ba766L6TtibvbYhrJeqH1TrGH62mPa8h21hlXyXLwoKOLL3PV2+colfS1ebNf8da9k6HFY27Qr8TuYya1HrWGJ6X7WbWLVXBYFUql1TsFT7rzzqct3vE2T4sr2JY5GXeViodXKWLPYL1KEnFXvYPhNKWlcWytbyLnIYAAAggg8LQA4QlvAwIIIIAAAnUIWNWJ7bwSRmPXRlQy2LINW8Zi2xKPPh59rFhxks06QaXJxo2eojW2xjgcVuS8ILCo96g3PCndvxTmpHOe8hWOy5bwHOp1lEj6eud5lS1faktFg1sOjow1rsdhqkqhWq5pjWjNlKU7tehxDgIIIIAAAkUBwhPeBAQQQAABBOoQsC10dx9KV9VnY6rbldtCuNphxiKOOtvi2j+uKuYP21x9+7pif5OlS3wdd2ztgYdtK2zLleqpNBn/XGGFJ4dDlKgbLFupdCekO+50dPCQq3i82ANl+bLyS3jCXGpj4y63K1I174JttrOkOxlsA82BAAIIIIAAArUJEJ7U5sZZCCCAAAIIBAJh7bJjX3AXdSW159DkDV1r4Z5suc4N33d18y3F4OToo3ytWFF7cNKSjAbLYmy3mzCPsMMTG5s1lLVKlOFxFThTjfuuux3tP+AqFpPedk5BK1dOH6DYMqHWZFQHB8Jp9BoEW91J7ekNJ5iz3izWi4YDAQQQQAABBGoTIDypzY2zEEAAAQQQkOf56h3KVVzRMB1ZWzKqgu9rJFMIRdZ6j7S3RA9vn5zNSt+40tX2R2zLYGnjBi/YnreWw6o4LCiwPipmEPbRiPDExmjjtoqO4UyhonHffa+rffuska507tkFrTli+me1gGJgOB/K0iUbr/U+cV1pKF3/O2HXssomGseG/bZyPQQQQACBZhEgPGmWmeY5EUAAAQRCF7DlKmFVitiyin29aYWVRdgOK32DWeUKvg71Obrs8mIlhfXyOHGjr1SqttCj2gqOWtAbFZ6UxlKsmCkE2yeXO+69z9WevcXlLued4+nItVNX2Vjvl86WqPb3h1N9EnY1klWyEJ6Um3F+jgACCCCAwOQChCe8GQgggAACCNQoENaSHVtO0p6M6kBISz5G7wDz+A5Hl3/dVTrjqMMaw27wFYuWDw0mI7Ev3rY8JazqmKnYGx2e2H1TiUiwK1AllTP3PeBo9+7iUqdzzvJ09LqpA5Spdjaq8RULtkIOq5qFpTu1zgLnIYAAAgggQMNY3gEEEEAAAQRqErBGsf3D+WDpSr1HV2tMmbwXWihR2qnltm2Orr62+KXftt09fn3tvUlsJyALeRodnNhYZyI8KQUo1rPFKojKHQ8+5OjJnUXLN7/R0/opmuxGI4662+KhbV0dZuNYWxpmS7loHFtutvk5AggggAACEwWoPOGtQAABBBBAoAYBq1g40J8JlsXUeyzrSWrXwXAaxVpFRSLq6qrr8vrlr4sNQo860teqlbUHJ7ZJiy11GQpxK97pzGYqPLEx2DbDwTbOFUzjw9sdPbGjGKC88fUFnXD85Cd1tcWUyXoaydbfq8TuFdb7EYs6WtCeYOlOvb+wnI8AAggg0JQChCdNOe08NAIIIIBAvQJWeRJG4GFb/abirg4N5uodUnB+d2tSX/xqVg88aNvzShuO99XTU3twYtdsTUWDXWr8CgKGMB5iJsOTIBhKFJvfVnI88qijxx4vBiivf62nTRsn2obdq8QqWUayeaWz9c1jKYih8qSSmeYzCCCAAAIIjBUgPOGNQAABBBBAoAaBsPqdhNkjo5CN6csX+dq9R4rHfW3e6Ku1tb7EwypZsnlPhRAqbCplnsnwxMYUiTiy3YkqXZJk1SdWhWLHa17taeuJE0ONjpaYCp4Xyk45o3vYVGo41efoe1KvIOcjgAACCDSrAOFJs848z40AAgggULNAmP1ObJedMHbs2bXb0WVfj2hwSGpv97XxBD8IUOo5rDmstQPJ5euveKhmHDMdntjYbKccq0KxHiiVHE8+6erBh4sByqte4enUk8eeZz+xYCysJsBhvSf0PalkdvkMAggggAACEwUIT3grEEAAAQQQqFIgrH4nVu1gDTwP1Lm17d33WGPYiAoFadFCb8peHNU8pu2sk4y5Gs6E07ejmnvPRnhi47PlO+lcoaIdeOzzu3a5uv/BYoDy8pd5Ou1ZYwOUhR1x9Q3nQwmfwtp1h74n1byJfBYBBBBAAIGnBQhPeBsQQAABBBCoUiCsfiftqWjQp3SwjkasP73J0X//otQYVlq1MpywI1iuU+FONFXyTfpxC2usV4j147A+MOlsQeZslS+VbCccxhhq2VFo9x5H991f7IHywucXdMbpT1f7tCajirgKdmWq9wjjXSmNwRrQ0vek3hnhfAQQQACBZhMgPGm2Ged5EUAAAQTqFrDmqb1D9Td4raeaIJ+XrrrGDb6423KTrZtddXRaU9f6luoYTrU9QGoBtXqNaNSVbe1roYXnSZ78oCmtVeRYnxV7LldO0PjWthPOF/xQqjimG28tPV727nN0z73FAOXZp3p6xR8VK1DsuWyO9/ZmaiEac05YVUp20e62mFKJaN1j4gIIIIAAAgg0kwDhSTPNNs+KAAIIIBCKgO3M0hdCeFLrFrSDQ44uu9zVrj2OYjFfJ26WFvW4wY44YRy2LbFVfjSq4sN6qViliVWV5AsTm9FOtmzHAp1oxJVFFJ7vK1Nhb5JqPYLlSvFI1Zb7Dri6++7iEp5TTvL0x68sBiiLuxLBsiwLf+o9an1fxt+3szUmq4rhQAABBBBAAIHKBQhPKrfikwgggAACCASVEX1D2bp7gdRaSbB3r6OLL3c1OOiopbW4o057i613qbzZ6XTTaAGFVYNYeBL2YU1ZLTix4GO6JrTlep5Uep1ax2/hiVW5WLBTzXHgoKs77yoGKFs3e3rNmZ46WqKyy1S6FfJ096unUmn0dVuTEXW0xIPKHg4EEEAAAQQQqEyA8KQyJz6FAAIIIIBAIGDVGAcHssGyknqOtlRU1vBksIpqkQcfcvXNq1zl8lJPj6cN6325EWt0GlE654VSKWIVCdYkNozlP6N9LJCw6otKdu4pF56Urmshii2NCTvosX4gZlpL4HGo19G2O4pLeDZu8PSWNyiUpsB2vVremcneUQuwutviQfUPBwIIIIAAAghUJkB4UpkTn0IAAQQQQKAYnvh+0MOi3iUtto2tfTmvdPnJL34Z0Y9/Wvyye8QqT0euLS4DseoBW2YzVEfT2dLUFvuPWGVIuFUnNr5srhBUc1RyVBqe2LWsUiZuuwJVEUJVMgYLGPKer0KFYx59zd5eR3fc5QZ9XI471tMH3h3Xnt50ULVUz2G7H6WSUR0ayNZzmSBwWtSVkEvpSV2OnIwAAggg0FwChCfNNd88LQIIIIBAnQJh7bRTTS+MK7/l6u6nGpKesN7TokVPfwu36gurIMiEsMym1uUq05FaA9ZM1gtCp3JHa/8TWr39enUOP6m+lhV67MhXaahjVbnTgue3sGMkxG2V612+1Nfv6I473GDJzvpjpLe/1a97fBZuWcXIvr76G9Cy407Z14oPIIAAAgggMEaA8IQXAgEEEEAAgSoErA9GGLunLF+Q0s4DI9PeeXjY0aXfcLVzp6No1Nemjb462seGELXsDjPVTW1ZSD3bJo+/bjXbHcfTvTr9e+cqlhs+fJlcrEU3veJSZZNdZWeolm2Gy120Xo/+geISnkJBOmaddPZZ9Tf0Datp7JKuZLCrEgcCCCCAAAIIVCZAeFKZE59CAAEEEEAgELD+GtbzpJ6jki1s9+13dcnljvr7HaVSvk7c5CuRmFi9YQFFGBUXYW9PnIhFgmqTSnqcmOXKR36oE3/32Qmst5/6N9qx9mUVcQdVOI4T2rKjasKfqQY4MORo2zZH+byj1at8nXtOQbE6NrqppmJpOjRrPmtzxIEAAggggAAClQkQnlTmxKcQQAABBBAImqhab5H+OvuL2BITa8w6VQjz8HZXV1zpKpuTurp8bTzBU2SS77lh9jupNuyY7nWopQrkuG0XaN19V0647EPHvVH3bf6zit++MAKP0s3CCmOGhxzdtq3Y6HflCl/nnVtQPFbxI435YLW9cqa6i+0C1JaqcRC1DZ2zEEAAAQQQmNcChCfzevoYPAIIIIDATApY247ewYxGsvXttGNbxVpj1v7h3ITh/+ZmV9//YXG3lhXLPR29bupeIdbrw/qUhNEsNcxddloSUaVzhaqa6m665d90xPbvTfB48Pizdf/G8yqe5sDEGsiG0P+knl13xg/Yy0f1m1s85XKOli+zAMVTcpJKonIP2tESU8HzNJSur6lvKh5Rd3u83O34OQIIIIAAAgg8JUB4wquAAAIIIIBAhQLF8CSrkTqbs9p/9c8VJjYQvfY6N6hQsOPYYz0tWzJ9k9WwltoUA4eIhjP19+SwpqbWbLWa7YM3/OGLWvPgdfLly7FHtpKaUoNZx9Hvn/dx7V7xvApnSQqzD4ztFGTPUu/uSjam3n5ft/5ByuYcLVns6x3neUomyzfSHf3gtoWyGfcP1zdXNp6u1nhAzYEAAggggAAC5QUIT8ob8QkEEEAAAQQCAevh0TuQVTpXX+WJ/Rf/kXT+8HVGRhx940pXjz1ebAy74QRfXZ3lv1RHo66irlNVUDHZVIZ1Hbt2sLtOzqs4bNh882e06tEfBcPas+w0DXQcoRZvUMNumzp7t2vRnluCn9122j/oySNOr+hNtDAoHq0uwJnqwmHtQFS6zsCQr9tud5TNOlq00NM7zvPV0lJ+rkvjS8ZdpeJRHRqsr++OXaerLc52xRW9UXwIAQQQQAABifCEtwABBBBAAIEKBaz6wPqUZPP1hScL2uMaSOeVzXk6eNDRxZe56u1zlEr62rzZr3g5hwUEcqySob7xhHUdG0tbsvIde075+T9oya6bA/2dq16kwfbitsTxmPV7KT5T94H7agpQ6t0pp/RKWH8az1fFjW+nepVGXyeddnT7NkfpjKOeHl/vfJunttbKApRy/XIqfJWDrZ1t22MLmjgQQAABBBBAoLwA4Ul5Iz6BAAIIIDAPBa76zk26/Jof64ld+9TR1qJ1a1foLX/yP/Ti524p+zSnv/6v9cVPvl8bjl075rMWnhwYyCiXr+yL7lQ3WtiRUN9wVg8+LF1+hRtUIXR2+Nq40VO0ig1QwmryGtZ1bLmOLSkpt2THtiM+5ed/r579d6vgxrRz9RkaSS06zDU6PBkfoNz+rL/VjjUvLTuHYVWMhNU0dvx1MlknqECxIKW709c73+6pfdw21JM9pF2nsyWq/f31VZ7YdSzEK4Un/3nRtfrSJddN6rp4YZe+8tkP6ez3fVI333B+WXs+gAACCCCAwDNRgPDkmTirPBMCCCDQ5ALf/dGv9dnzv6l//ci7dMIxa9TbP6hf/u5O7dpzQH/znjeV1ZkyPPF97e/LKF+oLzxZ1JnQT36R0zXfLvY3WbrE13HHVl89ElZAULyOV/dzWTWD2RSsVGOKI57p17Nv+oA6+h5VPprQk6tfqkyia8ynx4cn9sOe/Xdp4d7bgs9VEqBYPxjb9afeqpxKA6FyL9Vk17HeJxag2LKtzs5iD5Ryy7UsnLKKkX19mXK3nPbndh0L8UrhSSabk/2x44af/EbXfv8X+urn/zb4Z9v+edfeA4QndYlzMgIIIIDAfBcgPJnvM8j4EUAAAQQmCPzjZ74WNC392Acn36VleCSjs9/3v/TEzn3yfU/rj16jj33grUF1ip37/773cyXiseCL5V+89TV6x5tfEdzDep7s681MGw5MNh2Heh396EZXjzxiX+h9tbW52rW7GDCsO8rXyhXVByd2bljb8oZ1HWtmav1gRjdX7Tpwj4696xJ17b9X+XiborlhxbKDysbb9OSalyoXa51ANll4MiZA8X2NtC5RLNuvofZVevjY1wfVK6OPWrZLnmzuGn2dXL4YoNh2xrG4r1RKyqQdrV7t6yUvLmjpkrGjsvEs6Ihrb2994YldZ1FXYtKeJxacXPmdm/TN8//p8M0ffGSH3vLe/6X3v/P1uuzqH6mvf1DnvuFl+otzzww+c8HXr9dDjzypT3/0z4N/3n+wTy/8k/dr240XKhqJ6Dmvfq/e89bX6IYbf6t7H3hU11z4Lzpq9XL+vxcCCCCAAALzRoDwZN5MFQNFAAEEEKhU4FvX/7e+8JVv6QPveoNO3XKcVi1fLNt2tnTk8gXdcc/DWrdmheLxmL713Zt0069v00Vf+HDwkakqT3zf1+5D6cMbwVQ6nosujeiRR8f2lrB/2rTRU3d37VUsYW0v3KjruIWcXvLdNyue6R1DlY+26LGjXqVCJDEp4VThiX148e5b1HXwvjHn+Y6rn73sAg12rj7878PaZngmrmMByu9ucZUbt3P1ooW+/vI9Y7ckttd4SVcyeA/rOew6S7uTY34vStebKjx5zds+qrf+6cv0ule+QDv3HNR7/v7fdMNln9YRKxZXFJ6sXbVM7znvNVq2ZIGWLV6gVJKtkuuZQ85FAAEEEJhZAcKTmfXmbggggAACMyBgIYf1PPn2D38V/FfuWCym556yQR/6izdq5bJib43rf/wbfe+nv9WDjzyp4ZG0Iq6rn1/7f8qGJ4PpsV9myz1OJiP9/cf9CYFLS4uj551We3Bi941HHWXr7L/SyOt07btHp/7wvROIBrvWas+q509J17l2uVqPWDbpzxND+9QyuHPCz/avOE19C44d8+8jrlSorahnxq+z40nJ3pXxxxkvkmKxsf/WGvzW27TYrhiLOFWFJ+N7nrzi7L/Th993ll7w7M0VhSdf+7e/03Hrjij3K8PPEUAAAQQQmJMChCdzcloYFAIIIIBAWAJWZfLg9id0/qXf0c7d+3XNV/9Z1//kN/rsl76pf/6bt+vULeu1Y9devfX9/6pff+c/y4cnI/mqhuZ50oc+qgnhSarF1/NPq+pSEz4c1pfoRl2n/eBDOu1775oYnnSu1p4jXjhNeLJCLauWTvrz5Mh+tQw8OeFn+1Y8W/0TwhOn6iVWk93UlrhM18el0lmc7jo7d0kjkxSTvOh5UmJcgU5Y82WNgic7pqo8GR+e/Om7Pq53n/NqnfH8rYQnlb4EfA4BBBBAYN4KEJ7M26lj4AgggAACUwmMpLMTlgTcescD+vO//Zx+/4Ov6J8++zV1trfpg+9+Q3AJ6+cwOjx5yRs+oC984n3auP7IMbeoednOJRE98tjYZTvxuPTsUwtyiz1jazoatdympsFIGj8eN5/VS64/a8KyncG2Fdp5xIunvM10y3YS6V6t3v7dsfMyz5ft2MM8+pirR8e9I4sXS+9799iwbjaX7UwXnlx81Q90250P6j/+5S+DuZms5wmVJ7X+ZnEeAggggMBcECA8mQuzwBgQQAABBEIV+Mt/+A8dsXKJXv3S52rpop5gp5DP/deVWtTTpX/9yJ8F/5X8xl/cqs997D0aGk7r8/91pe66/5HDlSf2JfF5p27UOa9/abADSU9XezC+MBrG2nXSackqUrq6fJ24qfZ1JWE1em3kdUY3jPUjsWKQ4jvau+xZ6u05ZtJ5ny48sRMKkbiW7/i5WgeemPcNY0sAjhwNDUsPPORoZHhuNoydLjz5xc136O8++WV9+TMfCsqsLrzie/rxz38/pmEs4Umo/2+OiyGAAAIIzLAA4ckMg3M7BBBAAIHGC/zi5jv1zetu1D0PPKpDfYNatrhH/+MFJ+vd556pllQiCEz+5l/O129vvUcrly/WS19wsr7x7Z8cDk9++4d79NFPXxj813Pr6fCmM4tVEhaehLFV8WBvQp//z4IKBWnhAk8bTqit98lc26rYQg9b3lKYZivno++5XMfeeXHguWvlCzXQMbEHxnThyYElm3Vg8YllX6L5sFXx4YdwHG3e6GlBT9nHUqO2Kh5951qW7VhV1sc/f7G+d+PNwe/bG159uv71i18nPCk/pXwCAQQQQGCeCBCezJOJYpgIIIAAArMvYFvwHhjIKFdnk9aFHQndemdOF15SXLNju6qccHz1FSjWs8ICnVy++nNHa4Z1Hdse2r7cp7PTN9Xd8Pt/15qHrw+G8OQRZ2iobeyWtVOFJ7abzs4jXlTRixBWsBSLusF2vplcdY2Cxw9yuuusWycdsbKyAM2u09kS1f7+bEUOU33IrrOgPR5sx82BAAIIIIAAAuUFCE/KG/EJBBBAAAEEAgELTw4OZOve6cS+tA6k87r7XumybxQDlKVLPR13TGVfoEvTYY1D5UjZXH3hSVjXsbG0JaMarKCp7km/+riW7filPCeiHWtepnRqweG3bLLwJN2ySE+sfal8N1rR29iWqmwc5S6WiLnyfIUQUE1+nRXLfB07dpOgaYdk47HeMvYe1nPYdbrbCE/qMeRcBBBAAIHmEiA8aa755mkRQAABBOoQsCqP3oGs0nWGFfaldSSbVzrr6a67HV11TXHXk1UrPR11ZOUBSjTqKuqWr/Qo98hhXcfuYxUfto2uBU3ljtN++kEt2LdNnhvXE2tfpvuyUV1y/3Y9OTSsBcmEzlq3RpsWdCuX6NDjR75chWiy3CWDn1/yrU9r5+5Hxnz2hae9Rs85+Y/Knp8vFPTjn31TrhvRy170puB58gVf+YKnO+/9rX5+83c0NNyvZYvX6FUvOVfdXYsnveZU1xnJZPS584tNVUcf//Gvf6vjj1k75t9d/M3v6qZf/l77DxxST1eH/uRVZ+jNrz1DqXhUhwaz+tF//1aXfPO7OtTbr2PXrdGH3nuOViybOJ6prtPVFlcul9fWl/7ZhPF840v/qM3HH1XWiw8ggAACCCDQLAKEJ80y0zwnAggggEDdAhYI9A3lNFJmWUq5G3W0xIIv48OZ4lKQbXe4uubbxQqUtWt8rT6iskoS6+thVSMjT12n3H2n+rkt3bCQYDhd3TbMk13Plu1YGJOuYEzRfFrPvukD6jr4gEachN5waK1OX7FcL1u9TLfsPqBLH3hEn3ruqTq0/rVBgFLpcenVn9am45+rY4/aeviUWCSmaDQ27SUe2L5NP/75lRoZGdTG9c8JwpOWZDRYhrRn35O65KpP6bUvf5eWL1mrX95yg57ctV3nvfHDE6452XWCprx5T+lMNghP3vu2f9ILntuhWLy4bKYlmVQkMnbrpa9c+v906tYNWr1yqR7c/rg+8dmv6LMfe5+evfV43XHf43rfhz+tf/rQn+m4o9fq8m/doHvu267/+5mJ45nsOp/52Pt0xnM2HQ5PvnPxJ7VoYffhZ2lNTRxPpf58DgEEEEAAgWeiAOHJM3FWeSYEEEAAgYYIWDFF32BGI9nKwo2pBtGajCjiuuofzh3+yK1/cHXd9cUvz0cf5WvFivL3CDP0CGvb4yAISESVzhUqqj6JZQf13J+8Tw/sP6CP9C/Vfz57k1JuXsNumz52+306cdPpWr/1VRXPZ8R1dNFVn9LWDS/ShuOeVfF5oz944y+uVr6Q1x+d/ma1JCIaSuf1i5u/qz37duj1r/qL4KPp9LD+/asf1J+f88/q7lw06X1K1xkdwmSyxfDkgi/8b6054umwopKB/s+Pfl5nPP8kvfHMM3T+Jdfp4Uee0Cc+XBzP4NCwXnfeh3TRFz+h5UsnH0/pHnadFz13q/78La9QLpcLKk9u/Na/BTtTcSCAAAIIIIDA5AKEJ7wZCCCAAAIIVChgO4oMpvMaGK6vQmOqvhW/+k1EP/xxsRJh/XGeliyefumL41jFQlRDFfQYKfeIYTWNtftYgGF9SyqtiEmOHFDvNX+tH/RH9NWeJyR7MF/6cG6DsmtfoBc/70/KDf/wzy3sOP/y/62Dh/YoHkuos2OBnrXlpTr6yE0VX6MUerzqJWfJ+qlmcp6+/YOvqqO9Wy9+7usOX+eLX/uwXvHis3XUmg1lw5OgB0s6r1w+r8996X3q7upQKpnQ2tXL9bY3v1qrV41tmjv+gul0Vme9+yP69EferQ0nHKN/+swFWrSgW+8692mbN73zw/rAe84OqlWmOkrX+d8ffpdOf84mZZ9atrOgu0MtqaSOOWql3v+O1+moNSsq9uKDCCCAAAIINIMA4UkzzDLPiAACCIb78VEAACAASURBVCAQmoAt4ai3WaeFCws64trbm5kwrhtvcvSzXxR7oJyw3tOiRdMHKLYcpNKQYjqEagOPcqDVhjH33/ifeviBm/Wlnp2HL/2p/kU6sPzZeuEr31/udsHPSzvaPLbzESXiKf3/u+dq+2N36qe/vlbnvv5vtHTRxG2RJ7twKTx5zcveEjTjte2Xr77+fC1euFIvePYfHz7lvy79R73wtDO1/uiTy4YnpXlau9rXSHa7FvZ0aWhkRNfecJNuvf0eXfh/Pq5kIj7lc372/16qAwf7dOHnP6iDAzn9wye/pKPWrtJb3/R0Vc557/snve2sM/XC55xU9jpf+ewHlIxHg+qgO+59WEsWdmtweESXXf0j/fqWu3T9ZZ+adjwVTQgfQgABBBBA4BkkQHjyDJpMHgUBBBBAoPEC1qtkstCj2jsvX5DSzgMjk552w/dd3XxLcQnPpg2+enqmXsKTTESUz3tBU9N6j7B2qCmNI+jz8VT4UG5sO378ef3hoTv1lZ4dhz/68b7Fcpcer62v/mi50zVd/5crrvsPrVq+Ts875ZVlr2MfKIUnr3v52Yd3DrLKk66OBXrRc157+BpWefLyF79F69ZsnDY8eeUZb5Zt49zRVdCG48fOU6Hg6dVn/7U+9Y9/pY3Hr5v0OudffLW23fWAPveJv9bRq3q062Ban/zChVq6aIHecfZrDp9jlSf/8y/eomedNPl4Rl/nqBU9gdn4w8Zz8sv/XF/93N/opE3HVOTFhxBAAAEEEGgGAcKTZphlnhEBBBBAIDQBW7pjX17rPRZ3JXSgPxtUNUx2WANZayRrx+aNnrq7J/9c2DvllHaWqff5SudbgGLLXsrtvjN0y+W6+Oaf6XsLt8uxZTuS3nZgpU464dla88J3Tzsc6/1iS6GmqsC55KpPB/1PTtr0oooey8ITzyvoj//HWUGzWDt+/tvvau+BJ/X6VxbHYj1PvmA9T87+hHqm2HGnFMKc+dK3KNXia9PG/ITAwpbRvObc/6kvf/4fJizdsR17vnD+17Vz9179y9+/R10drcH2wvv6Mrrkm9dr+2M79Im/K47Hep78yVs/pK/9n49r5fKxO+6Mv05ba4uW9SQPO49GGUln9axXvlvXXvgvLN2p6G3hQwgggAACzSJAeNIsM81zIoAAAgiEImDbFe/rzUwZelR6k572eNCI1IKFqY6rro7ornscOa60ZZOnjo5JAhRHaktGD1dIVHr/yT5nlQi2fMeqRcI8rC+LXdOqdqY63MF9Ov+Sj+iNqUM6M9Wn32Rb9en+xXrPWR9VYsHUy22sosP6q5R2CurtP6Bb77hJJxxzitpau3TvQ7fqZ7/5tt519sfV0VZZQ1QLPXy/oD86/U2HK3r27HtCl37rM3rdK/9Cy5as1q9u+Z4e23G/3vHmqatiSuHJ2a89R8ccl1UiIf36d9u0Z99BnXLi8YrHY7roiu/okcd36kuf+XtZCFQ6LPD4h0/+p+KxaLAFcTwWCwKillRc6Zz00CNP6P0f+WwQnhyzbrW+fvX3dfud9wchzOhjsuvYHC/qTqk1ldBPf/kH7dxzQM87daMS8Zj+48Jr9OD2HfrWVz4xZjxhvg9cCwEEEEAAgfkoQHgyH2eNMSOAAAIIzJqAVVAcHMzWHTDYEhk7Bss0e73iSlf33u/KdrHdcqKntraJAYo1SU1XUN1RCVqYu+6Mvp9thWxVNrn81AHKgYd/qx/+7Eo9OTSiBcm4zjjtTK3ecMaUw7YeJxYElKpD7IPDI4P63o2XaeeeR5TNprWoZ7lOf97rdMSKo8s+/t33/14/+vkVyueykiNFo3H90YvO0vqjiz1Ebr/7V/rV767X0HC/li1Zo1e8+Bwt6Fk64bqjr+M7Umsqrr9611l64XO26p4HHtFXLrlGjz2xKzhv4/p1eu873qAlixeMuc6AVZKc+8EJ1z5i5VJd+B8fC/7993/yK1121Q3q7evXMevW6IPvOVurVowdz1TXWbNqqW647FPads/D+uyXvqmHHn0yuObJm47VR/7qLVq+dGFZLz6AAAIIIIBAMwkQnjTTbPOsCCCAAAJ1C1gT0r6hrIYzxeUctR7xqKv2lmiwdKfccfFlrrY/4ioakbZu8dTSMjZAsWvZl/0wKkaskiMaGRtIlBtfpT+3sMOqJ6zaZroQpb0lpoFR2ziPv749byIeCUKT6a5T6bjGf86CHquSCaOPzLNOcrV4kRNUGdV7WJNh2+kpO00AVck9bKvsjpZ4sKkRBwIIIIAAAghUJkB4UpkTn0IAAQQQQOCwgH0R7hvK1S1ifScq6Z+Sz0uXXB7RY487ikZ9bd3iqyX1dIBiyz3sC39p6Uq9A7NlNhZMlOtTUut9LECxMVu7FwspCuOa3U4WntiSIgt2bGWLVbCEERRNNv4wLVcf4eu0rdP3tqnGsNL3pdw1O1tjsgojDgQQQAABBBCoXIDwpHIrPokAAggggEAgMJLJ69Bg/eFJNZUEuZx04cUR7dzlKB73ddIWX4nE0wFKmMttptu5JsxXwCpRrMrFlt5YkGLNeO1vqyyx6goLSqx5rP28VAnSiEqT0c8U7BCUnxjoVPvcixdLmzdI1tvGGrzWe1RTqVTuXt1tMaUShCflnPg5AggggAACowUIT3gfEEAAAQQQqFIgrB132lNRWfxRru9JaXiZtKOvXuxqz15HyUSxAsWCFDusmsOCh7DChWq2Ga6Sb9KPW8WHLSNxnWIVTVD54vuyZVKNqoAZPxALaaz57FS79lT6nG1t0klbPFmFhzX7taU29R7VvivT3W+qnXbqHSPnI4AAAggg8EwWIDx5Js8uz4YAAggg0BAB+zJ/oD+j3LjlJtXerJZqgpERR1+9yNG+/a5SqWIFii3lCeuLf+kZguUrsYiGM/V/8a/WpVzPk2qvV+nnw1iuFIs7OmWrp2RSWtgRV99wPpRAq5oqpemeNxZ1tKA9wU46lb4UfA4BBBBAAIGnBAhPeBUQQAABBBCoUsAqT/qH86E0AV3SldCe3uqWdQwNO/rKBa4O9TlqbfW1ZXMxQLFqkXqrJkZThF3NUinzbIQnYTTdtcDpxE2eurqC/r3qbo/r4ED5hsCVuCzpTmjPoerek8mua9taW6NiWw7FgQACCCCAAAKVCxCeVG7FJxFAAAEEEDgskM0VtL+CnXLKkdkX7JF0PthquJqjr8/RBRe56u93gu2Lt272lEhYQ1VHmVx9OwGNHkdYPUCqebaZDk/C6vFy7DHSiuXFZVQdLTEVPE9D6frnIhl3lYpHdWiw/iBmYUciWJrEgQACCCCAAALVCRCeVOfFpxFAAAEEEAgEwup7Us8X40O9jr58gavhEUednb42b/TU3hoNdt2xXiFhHa2p8K853dhmMjyxCoyWRKTuKqKVK30ds674VNbodlFXUnsOpUOZgu62uEayeaWz1QVsk92cfiehTAkXQQABBBBoQgHCkyacdB4ZAQQQQKB+gbD6nthI6tmC1nqfWA8U64XS1eXr5K1S1HWChquhHY5kyz0qbWxb731nMjxpS0U1mM4r6Nxb47Ggx9GmjV7Q8NaOrraYMllPIyHMgV1ySU9Suw/WH8TQ76TGCeY0BBBAAAEEJBGe8BoggAACCCBQg0CYfU+6WmPK5L2a+5XY7jsXXBhRNictXODpWSdZo9dCUB0T1hF2Q9rpxjVT4UkYOwqlWqRTTvIVjRSfyLZetkqRMLYntutZVYxt6dw3VP/W2PQ7Ceu3gesggAACCDSjAOFJM846z4wAAgggEIpAWH1Patl1Z/wD7Njh6KJLI8rlpSWLfG050VE6E2L1iS1HcZ1gS+Qwm9JONhEzEZ5YcJLJeXVtg2xByckn+WppeTqk6mmPB0uA7NphHGHtsmNjod9JGDPCNRBAAAEEmlWA8KRZZ57nRgABBBCoW8CW7uwOqa/Fku6k9vWm5dVRLPLY444uviyiQkFauUI65uj6woHJgCwwiNsWxrbUpUFHo8OT1mQ0aKqbr2OraQuSNm7wtKDnaQSrEOlsiYbSSNiu6rrSoo6k9vTWv2THrre0O8kWxQ16Z7ksAggggMAzX4Dw5Jk/xzwhAggggECDBCw8seUUYfS2aE1G5Hmq+1oPb3d1yeXF3VRWr/K1dm04FRCjCS04sOUktjTIDMI+GhWelMZtO+DUu6Rp9M46pecPs0rErmnG1tDWKlnqPVLxiDpbY4Qn9UJyPgIIIIBA0woQnjTt1PPgCCCAAAJhCGRznvb3Z+q+VJg7tNx7n6srrioGKEetlVatCnf5TulhW5JRZfOe8vlwA5pGhCfRqCtbHhVGxcyKZb6OPXbslNtyJqtoOThQ/3bCpStbpYhVnYTRuoYlO3X/inIBBBBAAIEmFyA8afIXgMdHAAEEEKhPwCoYbOlOGF9wrTIgl/eCio56j7vudnTVNcUupkcf5WvFinADjtL4kvGICp4fjDusI+zwxEITqzoJYweizi5HWzYVJlRwLOpM6NBgtq6lQKP9wmwUa8GcLQuzKhYOBBBAAAEEEKhNgPCkNjfOQgABBBBAIBDwfF8DwznZUpB6D9vRxpZ+7O2tv5LFxnLrH1xdd32xAmX9cZ6WLA5/iY1dOxp1lIxFgioUq8Sp9wgrPInHitUmaetvkq//2W1nnZNO9BSPjw0h2lPRYKfjMLdyXtKV0L7+bCjLoqwipr0lKpfwpN5Xk/MRQAABBJpYgPCkiSefR0cAAQQQCEcgV/C0L6TAo7stppGsF0qVhD3dzb9zdcMPigHKCes9LVpUf4gwlVoprLCdZuqpRKk3PLHGrbaMJqwwJwiIJtlZx/59Mu4qFY8GVSdhHdafJBF31TtY//bENqbFXQlFI8V3gAMBBBBAAAEEahMgPKnNjbMQQAABBBA4LGBNU/f1ZYLlK/Ue9iW9uy0eXC+s42e/jOjGnxarJTZt8NXTU391yHRjS8QiQTWKLZMp1LCjTa3hidkl4pGgysR20wntcBxt3jh2Zx27dtiVQqXxhrkEyEwWdiaoOgntZeBCCCCAAALNKkB40qwzz3MjgAACCIQmYEt3hkbyGhipf1cUG5RVn1jfE6vgCOv44Y8d/eo3xR4oFgR0d9cf9Ew3NlshYhUgtmzGQiXbFjhf8CrqDVNpeGL3sIoKCwgsyLBqF6s2CaP/zOhns6a7q1dP9FrWk9Sug+FsI1y6n1XMWL+TQyFVnXSkompJsWQnrN8jroMAAggg0LwChCfNO/c8OQIIIIBAiALZXEH7+8NZutGI6hN71O/c4Or3t7pyXGnLJk8dHY0NUEq8kYhzOOSwYMNCFNuhx+4+WdAxVXhiYYnVz9jOORaa2D+XQplaKlwqmf7Fi6UNx090smqOvsGscjVU1kx3X1tic6A/G0oVk91nYUdc8VgxNONAAAEEEEAAgdoFCE9qt+NMBBBAAAEEDgtYdUXfUC60XiUdLTEVPC+URrSjp+m670R06+1WqSFtOdFTW9vMBCilMdiuNxYOWfNSC1UsDLEApRik+LKVT1atYhUktkuM7RBjn7GgxD5jIYlV+lhoYsulGnnYzjonbiwE4xx9dLXGlMl7GglhV6TR17XGrjYv/cPhVDBZ75SO1lhQlcOBAAIIIIAAAvUJEJ7U58fZCCCAAAIIHBawioqwdsqxizZiWYhd99pvR3XbHbbkRdq6xVNLS2NDiHKvSFBRYiGJoyBUse2PrV+KhSRBsPLU3+WuE+bPk0np5K0Td9YJO+AojdnijSU9Se0OcRnQkq7khOAnTCOuhQACCCCAQDMJEJ4002zzrAgggAACDRWwSgjbdSWsXiVh77oy+uGvvCqqu++zviS+tmzx1ZKa3QBl9Ngq7XnSqMmMRJ1gS+K2trF3sPlIJSI6OBDO8qzRV+9qiymT9TSSDafRbTLmqqstLqv04UAAAQQQQACB+gUIT+o35AoIIIAAAggcFrCmpWHulGM9K/qG83Vt/TvV9Fz+jageeEiKx32dtMVXIjE3ApTZDk+sx4n1Ohl9WHASjznqGwpnSc3oa9sypfaWaNDrJKzDduyxhr0cCCCAAAIIIBCOAOFJOI5cBQEEEEAAgUDAqk+sMsF6doRxNKp5rI0tn5cuvSyqR5+QkglfW7f4QZAy28dshidr1vg6cs1YgY6WaFDB0RvSDjjjfRd1JXSoP6t8SD1cLIzpaafqZLbfY+6PAAIIIPDMEiA8eWbNJ0+DAAIIIDDLAtafw6pPwtp5xx6nPRUNmqUOhrQV8miibFa6+LKodjwppVLFCpRodHYDlNkKTybbWcdCCFuGNZQOv+KkUXNr1UpWdWJ9ZDgQQAABBBBAIBwBwpNwHLkKAggggAAChwWs+mR/fybYESasY0FHXAPD+dAqWkaPK5N2dMFFrvbuc9Ta6mvL5tkNUGYjPLH+Jidt8Q43WLXcYXFnUr1D4fWwGf8uNGK5TiziaEFHgl4nYf3icR0EEEAAAQSeEiA84VVAAAEEEEAgZAGrPrFtbHuHcqFeuVG779ggh4YdffVrrg4cdNTe7mvLJk9uJNThV3yxmQ5PYnFHp2z1ZDvs2FFa9rK3Ly0vnNVXkz57I+bTtlG2prZUnVT8uvFBBBBAAAEEKhIgPKmIiQ8hgAACCCBQnUDYO+/Y3RMxV7ZVbiN2e7HrDw46uuBCV4f6HHV3+dq4wZM7Cz1HZzI8sV4mJ27y1NVVnN+WRHFHnTCbt0725ixoj2sgnVc2F146Y+9HNzvsVPeLyqcRQAABBBCoUIDwpEIoPoYAAggggEC1AgXP155D6WpPm/bz1ry04KlhPTj6+hx9+UI3CFJ6un1t2hjel/tKIWYyPDnuWGn5Ml+2TMeCqYhrO+qEWzE0/rnbklE5roJlWGEeS7uTLNcJE5RrIYAAAgggMEqA8ITXAQEEEEAAgQYJeL6vweG8BkNuNtrdFgu+eIe1O8v4x7elO1aBMjziaOliC1AUaoVEOe6ZCk9WH+HrqCMVbBPcmoiqbyirkWxjwyLbPcnCk7CXdFlT4dZUVC5NYsu9XvwcAQQQQACBmgQIT2pi4yQEEEAAAQQqE7D+J7sPpeWH1zs2uPGS7qT29aYV0u62Ex5m335XX7nQUSbjaMli6ZQtTrDrjO0k1OhjJsKTBT2OnnOKq862mPqHcqEHXJMZuY60qCsZejWSXdfeB/qcNPrN5PoIIIAAAs0sQHjSzLPPsyOAAAIINFzAwhMLHRrRp6QRDUdHg+zc5ehrF0eUzUlLl3rafIITbIHb6BCl0eFJZ4erl74wpmwhH/rSmeleqOULUtp5YCT0d876p8RjbE0cOiwXRAABBBBAYJQA4QmvAwIIIIAAAg0WsOaxFp5kQ67asGauizqS2tMbbl+V0Rw7dji66NKIcnlpxXJPRx/tKxGLKOpaJUoh1O2YS/dtVHgSjbhqb3N1ylapoFzo1UDTvUaNqhSiSWyDf3m5PAIIIIAAAk8JEJ7wKiCAAAIIIDADAo1oHmvDjkUcdbbFtb8v07CneOxxRxdeXNy3eM0aX2uO8IIlIvbF3ZGC3iv5gi+rsgnjCDM8sXFanxH7Y8tbjj++oPaOcMZZ6bMu6kzo0GC2IUETTWIrnQU+hwACCCCAQH0ChCf1+XE2AggggAACFQlY9clwJq/+kHdYsZvHo67aUo3bwtju8eBDri77RnHf4qOP8rViRbH3iW31a0t5rBLFIol8wQtCAnveWo96wxMbUzEweSrcKfjKFTwdvc7XiuW1j6uW51nQEQ+WBoVddWRj6WyNKRWPsMNOLRPDOQgggAACCFQpQHhSJRgfRwABBBBAoFYBCxSsAsF6hoR92Ba7XW0xHejPhn3pw9e79z5XV1xVDFDWH+dpyeKxQcSE0CKoSPFUKFQXWNQSnkSeCkssNLECmPEhzoplvo49tmE0k154YUdchwZzsqqjsA+W64QtyvUQQAABBBCYXoDwhDcEAQQQQACBGRSwpS27DjamR4lVoFiAsre3cUt4tt3h6ppvFwOUE9Z7WrRo8mDAdsy1yg8LMyzYCapRfPujYHmPBRylv8fzTxWe2DVtGU7pb1uGY1vz2j0soLB7WGgyfvW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{\"responsive\": true} ).then(function(){\n",
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" \n",
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"var gd = document.getElementById('11a57ff7-ce41-4e3e-8a15-9cbdc72fedf0');\n",
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" console.log([gd, 'removed!']);\n",
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" Plotly.purge(gd);\n",
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" observer.disconnect();\n",
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" }}\n",
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"}});\n",
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"\n",
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"// Listen for the removal of the full notebook cells\n",
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"if (notebookContainer) {{\n",
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"\n",
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" }) }; }); </script> </div>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"import plotly.graph_objects as go\n",
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"\n",
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"fig = go.Figure()\n",
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"\n",
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"fig.add_trace(go.Scatterpolar(\n",
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" r=avg_bills,\n",
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" theta=days,\n",
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" fill='toself',\n",
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" name='Bills'\n",
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"))\n",
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"fig.add_trace(go.Scatterpolar(\n",
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" r=avg_tips,\n",
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" theta=days,\n",
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" fill='toself',\n",
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" name='Tips'\n",
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"))\n",
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"\n",
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"fig.update_layout(\n",
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" polar=dict(\n",
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" radialaxis=dict(\n",
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" visible=True,\n",
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" range=[0, 25]\n",
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" )),\n",
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" showlegend=False\n",
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")\n",
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"\n",
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"fig.show()"
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]
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"slideshow": {
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"slide_type": "skip"
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"source": [
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"# References\n",
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"* [Seaborn](http://seaborn.pydata.org/index.html) documentation\n",
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"\n",
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"* [plotly](https://plot.ly/) documentation"
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]
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},
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"slideshow": {
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"slide_type": "skip"
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}
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},
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"source": [
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"## Licence\n",
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"The notebook is freely licensed under under the [Creative Commons Attribution Share-Alike license](https://creativecommons.org/licenses/by/2.0/). \n",
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"\n",
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"© Carlos A. Iglesias, Universidad Politécnica de Madrid."
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