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sitc/ml21/visualization/07_Temporal_Charts.ipynb
2024-04-03 22:53:02 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"![](images/EscUpmPolit_p.gif \"UPM\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"# Course Notes for Learning Intelligent Systems"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Department of Telematic Engineering Systems, Universidad Politécnica de Madrid, © Carlos A. Iglesias"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"## [Introduction to Visualization](00_Intro_Visualization.ipynb)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"# Temporal Charts\n",
"Charts for comparing temporal data."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Timeseries plot"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>subject</th>\n",
" <th>timepoint</th>\n",
" <th>event</th>\n",
" <th>region</th>\n",
" <th>signal</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>s13</td>\n",
" <td>18</td>\n",
" <td>stim</td>\n",
" <td>parietal</td>\n",
" <td>-0.017552</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>s5</td>\n",
" <td>14</td>\n",
" <td>stim</td>\n",
" <td>parietal</td>\n",
" <td>-0.080883</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>s12</td>\n",
" <td>18</td>\n",
" <td>stim</td>\n",
" <td>parietal</td>\n",
" <td>-0.081033</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>s11</td>\n",
" <td>18</td>\n",
" <td>stim</td>\n",
" <td>parietal</td>\n",
" <td>-0.046134</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>s10</td>\n",
" <td>18</td>\n",
" <td>stim</td>\n",
" <td>parietal</td>\n",
" <td>-0.037970</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" subject timepoint event region signal\n",
"0 s13 18 stim parietal -0.017552\n",
"1 s5 14 stim parietal -0.080883\n",
"2 s12 18 stim parietal -0.081033\n",
"3 s11 18 stim parietal -0.046134\n",
"4 s10 18 stim parietal -0.037970"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"import seaborn as sns\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fmri = sns.load_dataset(\"fmri\")\n",
"fmri.head(5)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='timepoint', ylabel='signal'>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", data=fmri)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='timepoint', ylabel='signal'>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(x=\"timepoint\", y=\"signal\", hue=\"event\", data=fmri)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Stackplot graph\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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REZGdWp+3HrPTZ7N4XEe39nzEx8fjyy+/xA8//ICAgIC28ziUSiV8fHwgk8kwe/ZsrFixAgMHDsTAgQOxYsUK+Pr6YurUqVYZABERkWhGsxErD6/E12e+Fh3FIXRrz8fatWuh0Whwzz33IDIysu21cePGtnUWLFiA2bNn4+WXX8bo0aNx/vx57Nq1CwEBARYP70r69u2L995775rryGQyfP/99zbJQ0RElzQYGhCfEs/i0Q3d2vPRlTuxy2QyLFu2DMuWLetpph65af1NNt3eieknevR9arUay5Ytw/bt21FdXY3IyEg8+uij+POf/4yQkBALpyQiIms633ge8bvjUaQpEh3FodzQfT6oe4qLizF69GicOXMGX331Fc6ePYuPP/4YKSkpGDt2LGpra0VHJCKiLsqtysXUrVNZPHqA5cOG4uPj4eXlhV27dmHChAmIiYnBxIkTsXv3bpw/fx5LliwBcOnqoEmTJsHHxwdxcXH44osvOnxWYWEhxo8fD29vbwwbNqzdSb7ApRN9ExISEBkZCW9vb/Tt2xcrV660yTiJiJzdjpIdeHbns6ht4T8ae6JHl9pS99XW1mLnzp1Yvnw5fHx82i2LiIjAk08+iY0bN+Kjjz7C008/DbVajdTUVHh5eWHWrFmorKxsW99sNmPy5MkIDQ3FoUOHoNVqMXv27Haf+f7772PLli34+uuvERMTA7VazXuoEBFZwMe5H+OjnI8gwa4eCu9QWD5spLCwEJIkYejQoZ0uHzp0KOrq6pCZmYnt27fj0KFDuPPOOwEA//73v9t93+7du1FQUIBz58613WdlxYoVmDhxYts6KpUKAwcOxF133QWZTIbY2Fgrjo6IyPm1mlqx7OAybCnaIjqKw+NhFztx+WTegoICeHh4YPTo0W3LhgwZgsDAwLavCwoKEBMT0+4Gb2PHjm33eU8//TRycnIwePBgzJo1C7t27bLuAIiInFh9Sz2eS36OxcNCWD5sZMCAAZDJZMjPz+90+alTpxAUFASFQgGg4y3qf66zq46uXP/WW29FSUkJ/vKXv6C5uRl/+MMf8Lvf/e4GRkBE5JrOac7hyW1P4tjFY6KjOA2WDxsJCQnBAw88gI8++gjNze3vfFdRUYEvvvgCjz/+OIYNGwaj0YijR4+2LT99+jTq6+vbvh42bBhUKhUuXLjQ9t7Bgwc7bFOhUODxxx/HP//5T2zcuBGbNm3iFTVERN2QWZGJP27/I1QNKtFRnArLhw198MEH0Ov1eOihh7Bnzx6o1Wrs2LEDDzzwAHr37o3ly5dj8ODBePjhh/Hcc8/h8OHDOHbsGGbMmNHuJNX7778fgwcPxlNPPYXc3Fzs3bu37UqZy959911s2LABp06dwpkzZ/DNN98gIiKi3eEbIiK6uu/Pfo/nk5+HRq8RHcXpsHzY0MCBA3H06FH0798fjz/+OPr374/nn38e9957Lw4ePIjg4GAAwLp16xAdHY0JEyZg8uTJeP755xEWFtb2OW5ubti8eTP0ej3uuOMOzJgxA8uXL2+3LX9/f6xatQqjR4/G7bffjnPnzmHbtm1wc+OUExFdiyRJ+FvW3/Da/tdgNBtFx3FKMqkrty21Ia1WC6VSCY1G03b+w2UtLS0oKSlBXFwcvL29BSUka+H8EpFoLcYWLNm3BLtKnfckfaVciX1T9ln8c6/18/tKvNSWiIgIQHVzNRJTE3G8+rjoKE6P5YOIiFxeYV0hElIScEF34for0w3jCQBEROTS9p/fj6e2P8XiYUPc80FERC5rw6kNeOvIWzBJJtFRXArLBxERuRyzZMbbmW/jvwX/FR3FJTlk+bCzC3TIQjivRGQLTa1NWLBnATLKMkRHcVkOVT48PT0BAE1NTR2eDEuOr6mpCcD/zTMRkaVV6CowM3UmTtWeEh3FpTlU+XB3d0dgYGDb4+V9fX2v+QwUcgySJKGpqQmVlZUIDAyEu7u76EhE5ITya/IxM2UmKpsrRUdxeQ5VPgAgIiICANoKCDmPwMDAtvklIrKkVFUqFu1dhGZj8/VXJqtzuPIhk8kQGRmJsLAwtLa2io5DFuLp6ck9HkRkFZ+e/BTvZr0Ls2QWHYV+4nDl4zJ3d3f+sCIioqsymo1Yfng5vj3zregodAWHLR9ERERX02BoQFJ6Eg6VHxIdhTrB8kFERE6lrKEM8SnxKNYUi45CV8HyQURETiOnMgeJaYmobakVHYWugc92ISIip7C9ZDtm7JrB4uEAuOeDiIgc3trctVibsxYSeKdkR8DyQUREDqvV1IqlB5bif8X/Ex2FuoHlg4iIHFJ9Sz0S0xKRVZklOgp1E8sHERE5nBJNCeJT4qFuUIuOQj3A8kFERA7lSPkRzEmfA61BKzoK9RCvdiEiIoexuXAzXtj9AouHg+OeDyIisnuSJOG9rPfwn5P/ER2FLIDlg4iI7FqLsQWL9y1Gcmmy6ChkISwfRERkt6qbqzEzZSZO1pwUHYUsiOWDiIjs0pm6M0hISUC5rlx0FLIwnnBKRER2Z2/ZXjy1/SkWDyfFPR9ERGRXvjr1FVYdWQWTZBIdhayE5YOIiOyCyWzC6szV+PLUl6KjkJWxfBARkXBNrU2Yv2c+9pTtER2FbIDlg4iIhKrQVSAhJQGn606LjkI2wvJBRETC5NXkYWbKTFQ1V4mOQjbEq12IiEiIlNIU/GnHn1g8XBD3fBARkc395+R/8N6x9yBBEh2FBGD5ICIimzGajXjz0JvYVLhJdBQSiOWDiIhsQmvQIik9CYfLD4uOQoKxfBARkdWpG9SIT4lHiaZEdBSyAywfRERkVTmVOUhMS0RtS63oKGQneLULERFZzdbirXh257MsHtQO93wQEZFVrM1Zi49yPxIdg+wQywcREVmUwWTAnw/8GVuLt4qOQnaK5YOIiCymrqUOiWmJyK7MFh2F7BjLBxERWUSxphjxu+NR1lgmOgrZOZYPIiK6YYfLD2NO+hw0GBpERyEHwKtdiIjohnxX+B1e3P0iiwd1Gfd8EBFRj0iShHez3sW6k+tERyEHw/JBRETd1mxsxuK9i7FbtVt0FHJALB9ERNQtVU1VmJk6E3k1eaKjkINi+SAioi5Ta9V4dtezKNeVi45CDozlg4iIukSlVeFPO/+EyqZK0VHIwfFqFyIiuq5SbSmLB1kMywcREV3TOc05PLPjGRYPshiWDyIiuqoSTQme2fkMKptZPMhyWD6IiKhTxZpiPLvzWVQ1V4mOQk6GJ5wSEVEHxfXFeHbXs6hurhYdhZwQywcREbVTVF+EZ3c+i5qWGtFRyEmxfBARUZuzdWfx7K5nUdtSKzoKOTGe80FERACAwrpCFg+yCZYPIiLCmbozmLFrBosH2QQPuxARubjTtafx3K7nUKevEx2FXES393zs2bMHkyZNQlRUFGQyGb7//vt2y59++mnIZLJ2rzFjxlgqLxERWRCLB4nQ7fKh0+kwatQofPDBB1dd5+GHH0Z5eXnba9u2bTcUkoiILO9U7SnM2DWDxYNsrtuHXSZOnIiJEydecx25XI6IiIgehyIiIusqqCnAc8nPQaPXiI5CLsgqJ5ymp6cjLCwMgwYNwnPPPYfKyqvfllev10Or1bZ7ERGR9eTX5LN4kFAWLx8TJ07EF198gdTUVLzzzjvIzMzEL3/5S+j1+k7XX7lyJZRKZdsrOjra0pGIiOgneTV5eG4XiweJJZMkSerxN8tk2Lx5Mx599NGrrlNeXo7Y2Fhs2LABkydP7rBcr9e3KyZarRbR0dHQaDRQKBQ9jUZERFfIq87D88nPQ2vgHmZXppQrsW/KPot/rlarhVKp7NLPb6tfahsZGYnY2FgUFhZ2ulwul0Mul1s7BhGRSztZfRLPJz+PBkOD6ChE1r/JWE1NDdRqNSIjI629KSIi6sSJqhN4fheLB9mPbu/5aGxsxNmzZ9u+LikpQU5ODoKDgxEcHIxly5bht7/9LSIjI3Hu3DksXrwYoaGheOyxxywanIiIru941XG8mPwiGlpZPMh+dLt8HD16FPfee2/b10lJSQCA6dOnY+3atThx4gQ+++wz1NfXIzIyEvfeey82btyIgIAAy6UmIqLryq3KxYvJL6KxtVF0FKJ2ul0+7rnnHlzrHNWdO3feUCAiIrpxOZU5eHH3i9C16kRHIeqAD5YjInIyLB5k71g+iIicSNbFLLyQ/AKLB9k1lg8iIidx7OIxvLT7JTQZm0RHIbomlg8iIidwtOIoXt79MosHOQSWDyIiB5dZkYmXU1g8yHGwfBARObDMikzEp8Sj2dgsOgpRl7F8EBE5qCPlR1g8yCGxfBAROaBD5YdYPMhhsXwQETmYgxcOYmbKTLSYWkRHIeoRlg8iIgdy4MIBzEqdxeJBDq3bt1cnIiIxDpw/gFlps6A36UVHIboh3PNBROQA9p3fx+JBToN7PoiI7Nzesr2YnTYbBrNBdBQii+CeDyIiO7anbA+LBzkdlg8iIju1p2wP5qTNYfEgp8PDLkREdihDnYE56XPQam4VHYXI4rjng4jIzqSp0lg8yKmxfBAR2ZFUVSrmZsxl8SCnxvJBRGQnUlQpLB7kElg+iIjswO7S3ZiXMQ9Gs1F0FCKrY/kgIhIsuTQZ8zPms3iQy2D5ICISaNe5XViQsQBGicWDXAfLBxGRIDvO7cDCPQtZPMjl8D4fREQC7CjZgVf2vsLiQS6Jez6IiGxsW/E2LNq7iMWDXBbLBxGRDW0t3orF+xbDJJlERyEXJHeX48mAwaJjsHwQEdnKj8U/Ysm+JSweJMTEoBH4X00LXjqZIjoKz/kgIrKF/xX9D6/ufxVmySw6CrmYkYp+mF9bj5uztl16wydIbCCwfBARWd2Woi14bf9rLB5kUxE+vZBoVuCR3HTIIImO0w7LBxGRFf1w9gf8+cCfWTzIZnw8fPCMb388nZ8G79Zm0XE6xfJBRGQlmws3Y9nBZSweZBMyyDApaDgSi7IRptkmOs41sXwQEVnB5sLNWHpgKSQ7291NzulW5QAsqKzE8Cz7Lh2XsXwQEVnYpjOb8PrB11k8yOp6+4YjqdUHD+akio7SLSwfREQW9O2Zb/HGwTdYPMiq/D398Jx3X/wxLxVeJr3oON3G8kFEZCFfn/4abx56k8WDrMZd5o7HAoch4cwRhDQWiI7TYywfREQWwOJB1nZn4CDMLz+PwcVbRUe5YSwfREQ3aMOpDVhxeAWLB1lFX78ozG3xwD3Zu0VHsRiWDyKiG/DVqa+w4vAK0THICSm8AvCiVzSm5KXA09wqOo5FsXwQEfXQFwVf4K0jb4mOQU7GQ+aB3yuH4uXTBxHYlCc6jlWwfBAR9cB/8/+LVZmrRMcgJ3N34FDMO1+Mfk5wXse1sHwQEXXT5/mfY3XmatExyIkM8I/GPJ0Jv8jeKTqKTbB8EBF1w2d5n+Hto2+LjkFOIshLiXjPSPzuZArcJZPoODbD8kFE1EXr89bjr0f/KjoGOQFPN09MVQzFCwV7EdByQnQcm2P5ICLqgnUn12HNsTWiY5AT+GXQMMxVnUZM0Y+iowjD8kFEdB3/OfkfvHvsXdExyMENCYjFAm0Lbs/aITqKcCwfRETX8K8T/8Lfsv4mOgY5sFB5MGa6heDRE2lwk8yi49gFlg8ioqv45/F/4v3s90XHIAcld5djmv8gPFeQAV99jug4doXlg4ioE58c/wR/z/676BjkoB4OGo45JXmIOuvc9+voKZYPIqIrfJz7MT7M+VB0DHJAIxRxWFCrxS1Z20VHsWssH0REP7M2Zy0+yv1IdAxyMOE+oUiUAvHr3DTI+IDB62L5ICL6yUc5H2Ft7lrRMciB+Lh740/+A/F0fhp8DE2i4zgMlg8iIgAf5nyIj3M/Fh2DHIQMMkwKGoFZRdkI53kd3cbyQUQu7+/Zf8cnxz8RHYMcxC3KAVhQVYURWSwdPcXyQUQu7f2s9/HPE/8UHYMcQG/fcMwx+uKhnFTRURweywcRuay/Zf0N/zrxL9ExyM75efhihm8/PHUyBV4mveg4ToHlg4hc0rvH3sV/Tv5HdAyyY24yNzwWOBwJZzIR2nhKdBynwvJBRC5nzbE1WHdynegYZMfuUA7CgooLGFzM8zqsgeWDiFzKO0ffwad5n4qOQXYqxjcScw1e+GXObtFRnBrLBxG5jLcz38Zn+Z+JjkF2KMDTHy94x2JqXgo8TQbRcZweywcRuYTVmavxef7nomOQnfGQeeB3gcPw8umDCNLli47jMlg+iMjprTqyCv8t+K/oGGRnfhE4BPPPn0P/4h9FR3E5LB9E5NTeOvIWvij4QnQMsiP9/ftgXpOEu7J3iY7islg+iMhprTi8Al+d+kp0DLITgV5KvOwZhd/npcDDbBQdx6WxfBCR05EkCcsPL8fG0xtFRyE74OHmgScUQ/HiqX1QNJ8QHYfA8kFETobFg37u3qBhmKs6g9gi3q/DnrB8EJHTkCQJbx56E1+f+Vp0FBJscEAs5je04M6sHaKjUCdYPojIKUiShDcOvYFvz3wrOgoJFCIPwkz3XnjsRCrcJLPoOHQVLB9E5PAkScLrB1/HpsJNoqOQIF5uXpimGIzn8vfAT58rOg5dB8sHETk0SZKw7OAyfFf4negoJMiDQcMx51we+vC8Dofh1t1v2LNnDyZNmoSoqCjIZDJ8//337ZZLkoRly5YhKioKPj4+uOeee5CXl2epvEREbcySGUsPLGXxcFHDFXFYbwrFO1nb0adWJToOdUO3y4dOp8OoUaPwwQcfdLp89erVWLNmDT744ANkZmYiIiICDzzwABoaGm44LBHRZZeLx+azm0VHIRsL8w7Fcu+B+Cp3D25VZYmOQz3Q7cMuEydOxMSJEztdJkkS3nvvPSxZsgSTJ08GAKxfvx7h4eH48ssv8cILL9xYWiIiXCoer+1/DVuKtoiOQjbk4+6N6f4D8Ux+GnwMTaLj0A3o9p6PaykpKUFFRQUefPDBtvfkcjkmTJiAAwcOdPo9er0eWq223YuI6GpYPFyPDDL8OmgEtlTrEJ+zlcXDCVi0fFRUVAAAwsPD270fHh7etuxKK1euhFKpbHtFR0dbMhIRORGzZMaSfUtYPFzIzYr++KJViZVZ2xBRf150HLIQi5aPy2QyWbuvJUnq8N5lr7zyCjQaTdtLrVZbIxIROTiT2YTF+xbjRz6B1CVE+YThba9++Dw3DTeVHRcdhyzMopfaRkREALi0ByQyMrLt/crKyg57Qy6Ty+WQy+WWjEFETsZkNuGVfa9ge8l20VHIynw9fDHDNw5P5aVBbmwRHYesxKJ7PuLi4hAREYHk5OS29wwGAzIyMjBu3DhLboqIXITJbMIre1k8nJ2bzA2Tg27C1oo6PJe7ncXDyXV7z0djYyPOnj3b9nVJSQlycnIQHByMmJgYzJ49GytWrMDAgQMxcOBArFixAr6+vpg6dapFgxOR8zOajVi0dxF2ntspOgpZ0e3KgVhwsRxDinmTMFfR7fJx9OhR3HvvvW1fJyUlAQCmT5+OTz/9FAsWLEBzczNefvll1NXV4c4778SuXbsQEBBgudRE5PSMZiMW7lmIXaW7REchK4n2jcBcgxz35aSIjkI2JpMkSRId4ue0Wi2USiU0Gg0UCoXoOEQkgNFsxII9C5Bcmnz9lcnhBHj643nvGDyZlwpPk0F0HNfjEwQsPGfxj+3Oz28+24WI7EqruRULMhZgt2q36ChkYe4yd/wucBhePn0Ywbp80XFIIJYPIrIbreZWzM+YjxQVd8M7m3GBgzH/ggoDeF4HgeWDiOxEq7kV89LnIVWdKjoKWVCcX2/Ma5ZhfDYPodH/YfkgIuFaTa1IykhCujpddBSyEKWXAi959cbjeSnwMBtFxyE7w/JBREK1mlqRlJ6E9LJ00VHIAjzcPDBFMQwvntoHZfNJ0XHITrF8EJEwraZWzEmfg4yyDNFRyALuCRqKueqz6FvEW+DTtbF8EJEQBpMBc9LnYE/ZHtFR6AYN9I/BgkYDxmTxZnDUNSwfRGRzBpMBiWmJ2Hd+n+godAOC5UFIcA/D5JOpcJdMouOQA2H5ICKb0pv0SExLxP7z+0VHoR7ycvPCk4rBeL5gL/xbckXHIQfE8kFEVmMwGVDWUAZVgwql2lKoG9TIqczB6brToqNRD92qHIA31cWILuL9OqjnWD6I6IboTXqotWqoGlRQN6hRqi299GutGhVNFTBLZtERyQI8ZB54KWAIZuTugBvnlG4QywcRXVeLsQXqBjVUWhVUDT+9fvr1Rd1FSLCrR0SRhcX6ReGtOh1GFG8THYWcBMsHEQEAmo3NUGn/b++FukHddrikqqmKBcNFTQ66CQtPpsPXoBMdhZwIyweRC2lqbWq31+Lyf9VaNSqbK0XHIzui9FJgmRSE+7N4bgdZHssHkZPRteqg0qpQ2lDadi7G5ZJR3VwtOh45gDGBg7G8+CTCNLxDKVkHyweRA2o0NLaVi7YTPH86XFLbUis6HjkoLzcvzPIbiKeyd0DGw2xkRSwfRHZKa9Be2mNx5SGSBjULBllcf/8+WFVVj8FF20VHIRfA8kEkkEavueohknp9veh45CKeCByJpJMp8G5tFh2FXATLB5GV1bXUdTjJ8/IhEq1BKzoeubAQeRDeaPXD+Gw+CI5si+WDyAJqW2rbHx752f0wGgwNouMRdTA+cCjeKMxCSGOV6Cjkglg+iLqourn6/+7g+bO9F2UNZWhoZcEgx+DtLsdc7zhMyeYTaEkclg+in6lurm4rFz8/RKJqUEHXypsskWMbEhCLVRUV6Hd2l+go5OJYPsjlVDZVdriC5HLJaDI2iY5HZHEyyDA9cARmHU+Gp8kgOg4Rywc5H0mScLHpYoeHnJU2XDpE0mzkGf3kOsK8Q7G8xQNjsnmnUrIfLB/kkC4XjHbl4qdflzWUocXUIjoikXAPBA3H0lOHoGyqEx2FqB2WD3IYkiThH8f/gR0lO1DWWAa9SS86EpFd8vXwxSLPPngsizcMI/vE8kEOQW/S49V9r2LHuR2ioxDZtZGKflh5vhQx1btFRyG6KpYPsns1zTWYlTYLx6uOi45CZLfcZe54VjEMLx3fCQ+zUXQcomti+SC7drbuLBJSE3C+8bzoKER2q7dvOFY0mHBrDk8qJcfA8kF268D5A5iXMY838CK6hkeCRuDV/H3wb+Gt+slxsHyQXfr69NdYeXgljBJ3HxN1JsDTH0vcwvFI1jbRUYi6jeWD7IpZMuOvR/+Kz/M/Fx2FyG7dqhyAlaVnEVWXLzoKUY+wfJDdaGptwsK9C5GuThcdhcguecg88FLAEMzI3QE3ySw6DlGPsXyQXbiou4iZqTNRUFsgOgqRXYr1i8JbdTqMKOZhFnJ8LB8kXEFNARJSE1DZVCk6CpFdmhx0ExaeTIevgQ83JOfA8kFCpanSsHDvQj5vhagTSi8FlklBuD+Ll9CSc2H5IGHW563HmmNrYOaxa6IOxgQOxvLikwjTnBQdhcjiWD7I5oxmI1YeXomvz3wtOgqR3fF080Si30A8lb0TMkii4xBZBcsH2VSDoQHzMubhwIUDoqMQ2Z3+/n2wqqoeg4v4DCNybiwfZDPnG88jISUBZ+vPio5CZHeeCByJpJMp8G7l+U/k/Fg+yCZyq3IxK3UWaltqRUchsish8iC80eqH8dk/io5CZDMsH2R1O87twKv7XoXepBcdhciujA8cijcKsxDSWCU6CpFNsXyQVf0j9x/4MOdDSDxxjqiNt7scc73jMCV7p+goREKwfJBVtJpasezgMmwp2iI6CpFdGRIQi1UVFeh3dpfoKETCsHyQxWn0GiSmJeLYxWOioxDZDRlkmB44ArOOJ8PTZBAdh0golg+yqHOac0hITUCptlR0FCK7EeYdiuUtHhiTzTuVEgEsH2RBmRWZmJM+Bxq9RnQUIrvxQNBwLD11CMqmOtFRiOwGywdZxPdnv8cbB99Aq7lVdBQiu+Dr4YtFnn3wWNZ20VGI7A7LB90QSZLwfvb7+NeJf4mOQmQ3blL0w1vnSxFTvVt0FCK7xPJBPaY36bF472LsKuVZ+0QA4C5zx7OKYXjp+E54mI2i4xDZLZYP6pHq5mokpibiePVx0VGI7EJv33CsaDDh1hyeVEp0PSwf1G1n684iPiUeF3QXREchsguPBI3Aq/n74N+iFR2FyCGwfFC37D+/H/My5qGxtVF0FCLhAjz9scQtHI9kbRMdhcihsHxQl208tRErj6yESTKJjkIk3K3KAVhZehZRdfmioxA5HJYPui6zZMbbmW/jvwX/FR2FSDgPmQdeChiCGbk74CaZRcchckgsH3RNTa1NWLhnIdLL0kVHIRIu1i8Kb9XpMKKYh1mIbgTLB13VRd1FJKQm4FTtKdFRiISbHHQTFp5Mh69BJzoKkcNj+aBO5dfkY2bKTFQ2V4qOQiSU0kuBZVIQ7s/iJbRElsLyQR2kqlKxaO8iNBubRUchEmpM4GAsLz6JMM1J0VGInArLB7WzPm891hxbAzNPpCMX5unmiUS/gXgqeydkkETHIXI6LB8EADCajVh+eDm+PfOt6ChEQvX374NVVfUYXLRDdBQip8XyQWgwNGBu+lwcLD8oOgqRUE8EjkTSyRR4t/KQI5E1sXy4uLKGMiSkJKBIUyQ6CpEwIfIgvNHqh/HZP4qOQuQSWD5cWE5lDhLTElHbUis6CpEw4wOH4o3CLIQ0VomOQuQyWD5c1PaS7Xht/2vQm/SioxAJ4e0ux1zvOEzJ3ik6CpHLYflwQR/nfoyPcj6CxLP4yUUNCYjFqooK9Du7S3QUIpfE8uFCWk2tWHpgKf5X/D/RUYiEkEGG6YEjMOt4MjxNBtFxiFwWy4eLqG+pR2JaIrIqs0RHIRIizDsUy1s8MCabdyolEo3lwwWUaEqQkJIAVYNKdBQiIR4IGo6lpw5B2VQnOgoRAXCz9AcuW7YMMpms3SsiIsLSm6EuOlJ+BH/c9kcWD3JJvh6+eMNnENZkbWfxILIjVtnzMXz4cOzevbvta3d3d2tshq5jc+FmvHHoDRjNRtFRiGzuJkU/vHW+FDHVu6+/MhHZlFXKh4eHB/d2CCRJEt7Leg//Ofkf0VGIbM5d5o5nFcPw0vGd8GDxJrJLVikfhYWFiIqKglwux5133okVK1agX79+na6r1+uh1//fvSa0Wq01IrmMFmMLFu9bjOTSZNFRiGyut284VjSYcGsOTyolsmcWLx933nknPvvsMwwaNAgXL17Em2++iXHjxiEvLw8hISEd1l+5ciVef/11S8dwSdXN1ZiVOgsnqk+IjmIVQV5KPOfVG/4mI1RecqjczFAZG6FqrkKTsUl0PBLskaAReDV/H/xb+A8Yos5I8gBcDBmDTPmdmCQ4i0ySJKveaUqn06F///5YsGABkpKSOizvbM9HdHQ0NBoNFAqFNaM5lcK6QsSnxKNcVy46isV5unliqmIonj+1F4pmTafrVPuHQRXUGyr/YKjk3j8VEx3ULVVobNXZODHZUoCnP5a4heORU2mioxDZnZaQYcj3vR1bdMOx8WIkmk3uCPT1RM6fH7T4trRaLZRKZZd+flv9Uls/Pz/cdNNNKCws7HS5XC6HXC63dgyntu/8PszPmI/G1kbRUSzul0HDMFd1GjFF137gV2hjJUIbK3FrJ8tq/EKhDu4DlX8ISuXeULtJKDU2Qt1SjQYn/D1zJbcqB2Bl6VlE1eWLjkJkFyS5EuWhY7FPGoX1VQOQd95PdKROWb186PV6FBQU4O6777b2plzSV6e+wqojq2CSTKKjWNSQgFjM17bgjqwdN/xZIbpqhOiqcXMny+r8QlAa3Adq/xCo5D4odZOgNumgaqmG1tBww9sm6/CQeeClgCGYkbsDbpJZdBwiYSTI0BI6HCd97sAPjUOx8WIUWjUy0bGuy+LlY968eZg0aRJiYmJQWVmJN998E1qtFtOnT7f0plyaWTJjdeZqfFHwhegoFhUqD8ZMt1A8eiLVJj9UgnQ1CNLVdFpMNL5BKA2Ohso/9NKhHHdAbWpCaUs1NAaeVyBKjG8kVtU3YUTxNtFRiIQwewfhQuhY7DGPwqcXB+BMmY/oSN1m8fJRVlaGJ554AtXV1ejVqxfGjBmDQ4cOITY21tKbcllNrU1YsGcBMsoyREexGLm7HNP8B+G5ggz46nNExwEAKJvqMLKpDiM7WabxCYQ6OBqlASFQyX2hdpeh1KSDuqUGdYbOz0uhGzc56CYsPJkOXwPP4yHXIcnc0BRyE0763IHNjUOw6WIEWuvtf+/GtVi8fGzYsMHSH0k/U6GrQEJKAk7XnRYdxWIeDhqOOSV5iDrrOJdHKpvroTxfjxGdLGvwVkIVHA1VQChU3r5QuQMqUzNU+lrU6nmXzZ5QeimwTArC/VmO82eE6EaYfUJRFjIGGaZR+PRiPxQ54N6Na+GzXRxIXk0eZqbMRFVzlegoFjFCEYcFtVrckrVddBSLCmjRYPgFDYZ3sqzRWwFVUB+oFL2g8va7dCjH3ILSlhrUsJh0akzgYCwvPokwzUnRUYisRpK5QRd6M457j8Ym7VB8X9kLpjqLPwHFbrB8OIiU0hS8su8VNBubRUe5YeE+oUiUAvHr3DTIYNUrve2Of4sWw8rzMayTK6Kb5P5QBcegVBEKtbcfVO5uKDU3Q62vRVVLre3DCubp5olEv4F4Knuny/05Iddg9u0FVfA4pBlHYt3FOKjU3qIj2QzLhwNYd3Id3j32LiQH/wvYx90bf/IfiKfz0+Bj4E3BruSrb8SQ8nwM6ayYePlBHRwDlSIUKm9/qDzcoDK3QKWvQ1VLjcP/2bhSf/8+WFVVj8FFN361E5G9kGTuaOx1C7Llt+NbzWD8r6oXpFrHPnejp1g+7JjRbMSbh97EpsJNoqPcEBlk+HXQcCQW5SDcgc7rsCe+Bh0GVxRgcEXHZc1evlAHRUOtCEOpz6ViojbrUWqoRWWz4xWTJwJHIulkCrxbHX8vH5HJLwKlQWORYhyJTyv64ryK97UCWD7sltagRVJ6Eg6XHxYd5YbcohyABVVVGJHFyyKtxcfQhEEXT2PQxY4nIes9vKEOiUWpohfUPv5QebhDZdZDZajDxZYamO3oHhkh8iC80eqH8dnXvqEckT2T3DzR0OtWHPMaja/rB2N7VShQIzqV/WH5sEPqBjUSUhJQrCkWHaXHevuGY7bRFw/npIqO4tLkxhYMuHgaAzopJgZ3OdQhMVApwqDyVVw6lCPpoTZoUN5cZdNiMj5wKN4ozEJIo3OcTE2uxRjQG+cCxyDZMBLrK2JRUeolOpLdY/mwMzmVOUhMS0Stg55g6Ofhixm+cZiWlwa5sUV0HLoGL5Me/SsL0b+y46MPWt29oA6OhloZgVKfAKg83aGWDCg11KOiudpid9T1dpdjrnccpmTvtMjnEdmC5O4FTa/ROOpxKzbWD0FyVTDA3twtLB92ZFvxNry2/zUYzAbRUbrNTeaGxwKHI+FMJkIbT4mOQzfI02RAv6oi9Ksq6rCs1c0T50NioFKEQ+UbAJWHJ1QwQGWoR3lzNYySsUvbGBIQi1UVFeh3dpel4xNZnFERjSLlWOzSj8BnFbGoOucpOpJDY/mwE2tz1uKj3I9Ex+iRO5SDsKDiAgYX82RSV+BpbkXfqiL0vUoxuRDcByplxE+HcjygQivUrVqcb6qEUTJCBhmeChyBxOPJ8DQ5XtEm1yC5y1HX63ZketyGL2sHIaMyCKgUncp5sHwIZjAZ8OcDf8ZWB/zBHeMbibkGL/wyZ7foKGQnPM2tiK0uQWx1SYdlRjcPlAf1ht7DGwNKHO/POzm/VmVfnFWMwY6WEfisIgZ15/gj0lr4OytQXUsdZqfNRlZllugo3RLg6Y8XvGMxNS+F/3KlLvMwGxFdUyo6BlEbycMHtb3uwGH3W/FFzUDsvxgIXBSdyjWwfAhSoilBfEo81A1q0VG6zEPmgd8FDsPLpw8iSJcvOg4RUbcZAvuhMGAMtrWMwGflfdBQwh+DIvB3XYDD5YcxJ30OGgwNoqN02S8Ch2D++XPoX8x7MBCR45A8/VAdegcOud+Kz6sH4kiFAujkZn1kWywfNvZd4Xf4y6G/wGju2hUBovXz74N5TRLuzuYVCUTkGPRBg3Da/w5sbR6B/1b0hq7EXXQkugLLh41IkoR3s97FupPrREfpkkAvJV7yjMQf8lLh4SBFiYhck+Tlj8rQMTgguxmfVw9EVnmA6Eh0HSwfNtBibMHifYuRXJosOsp1ebh54AnFMLx4ai8UzSdExyEi6lRL8BAU+N+J/+mG4auKKDRruXfDkbB8WFl1czVmpszEyZqToqNc1z2BwzBPfQaxRTyvg4jsiyRX4GLoGOyTbsH6qgE4ccFPdCS6ASwfVnS69jQSUhNQobPvs5sG+cdgQaMed2bz8eVEZB8kyNASMgz5vnfgB91wbKyIgF7jJjoWWQjLh5XsKduDBXsWQNeqEx3lqkLkQUhw74XJJ1PhZkdPNyUi12T2DkR5yBjslW7Bp5X9ceq8r+hIZCUsH1bwZcGXWJ252mIP37I0LzcvTFMMxnP5e+CnzxUdh4hclAQZmkNvwkmf2/F94zB8czECrfUy0bHIBlg+LMhkNmFV5ip8deor0VGu6sGg4ZhzLg99inh7ayKyPbNPMM6HjMUe8yh8erE/Cst8REciAVg+LETXqsP8jPnYe36v6CidGq6Iw4K6BtyatV10FCJyIZLMDU2hI3Hc+w581zAE310Mg6mO5264OpYPC6jQVSA+JR5n6s6IjtJBmHcoEhGESbmpkEESHYeIXIDZNxTq4HFIM43CpxVxOKf2Fh2J7AzLxw3Kq85DQmoCqpurRUdpx8fdG9P9B+KZ/DT4GJpExyEiJybJ3KHrdTNy5KPxrXYofqjsBamW527Q1bF83IDdpbuxeN9iNBubRUdpI4MMvwoajtnFuYg4y/M6iMg6TH5hUAWNQ6ppJNaVx6FMJRcdiRwIy0cP/fvEv/G3rL9BsqNDGaMU/bGwpgY3ZW0THYWInIQkD0CLfyxqvaNxwS0SRaZw7GuIxNbqEEg13LtBPcPy0U2t5la8eehNfFf4negobSJ9emGOKQATc9NERyEiByTJlWgOiEWtvA/Ou0WhyNgLJ1pCcEQThCKND6ARnZCcDctHN2gNWiSlJeFwxWHRUQAAvh6+mOHbD0/lpUJubBEdh4jsmNk7EM0BfVEr743zskicNYXjeFMIMjVKlLBgkI2xfHSRWqtGfGo8SjQloqPATeaG3wQOx6zCowht4CEWIrrE7BOMZv8Y1MijUSaLxFljLxxvDsXheiXU9d5AveiERJewfHRBdmU2ElMTUaevEx0FtysHYv7Fcgwt5smkRK7I7BOKJv8Y1Mj7oEwWiUJjGI43BeOwJhDn6+SA+L+miK6L5eM6fiz+EUv3L4XBbBCaI9o3AnMNctyXkyI0BxFZn9k3FDr/vqjx6o0yWQTOGMOQ2xSCI5pAlNd5sWCQw2P5uIYPcz7Ex7kfC80Q4OmP571j8GReKjxNYgsQEVmOyS8MTX4xqJb3gRqRKGzthZymEBzWBKKy1hOoFZ2QyHpYPjphMBnw2v7XsK1E3PkU7jJ3/C5wGF4+fRjBunxhOYio50x+EdD5x6DaszdUskicae2FXF0IjmiUqKrxBGpEJyQSg+XjCrUttZidNhvZldnCMowLHIz5F1QYwPM6iOyaBBnM/hFo9ItFlVdvqBGO04Yw5DYF44hGiRoWDKJOsXz8THF9MeJT4lHWWCZk+3F+vTGvWYbx2clCtk9EHUmQwRQQBZ1vNCq9+kCFCJw29EKOLgSHNQpoqj0A+3q6ApHdY/n4yaHyQ0hKT0KDocHm21Z6KfCSV288npcCD7PR5tsncnWSzA0m/0g0+sWi0rM3VIjAKX0v5OiCcVijQEMV/6oksiT+HwVg05lNePPQmzBKtv3B7+HmgSnKYXixYB+UzSdtum0iVyPJ3GAK6I0G3xhUevZGqRSB04ZQZP+0B0NX5Q5UiU5J5BpcunxIkoQ1x9bg07xPbb7tCYFDMa/sLPoW/WjzbRM5K0nmDmNAHzT4RrcVjFOGXshqDMJRjRK6SjfREYkILlw+mo3NeGXvK0hR2fa+GQP9YzC/0YCx2Tttul0iZyG5ecAY0Ada3xhUekThnBT+U8EIxlFNAJor3UVHJKLrcMnyUdVUhYTUBOTX2O4S1mB5EBLcwzD5ZCrcJZPNtkvkiCQ3T7QG9EGDbwwu/lQwCvT/VzD0TdyDQeTIXK58nK49jfiUeFxsumiT7Xm5eeFJxWA8X7AX/i25NtkmkSOQ3L3QGhANrU80KjyicE6KQH5LKLIag3BMq0BrEx/XTuSsXK58/Gnnn2x2RcsDQcMwp7QA0UW8Xwe5JsldjtaAaGh8Y1DhHomSn/ZgHNUGIachAK06FgwiV+Ry5aO5tdnq2xga0BcLNDqMztph9W0RiSZ5eMMQEAONTx9UuPdGsTkc+foQHG0IRq7WDyYdD5EQUXsuVz6sqZd3MGYhBL85ngoZJNFxiCxG8vCBQRGDeu9oVLhHosh86RDJsYZA5DT4Q2rkHgwi6jqWDwvwdpdjuv8gPJOfDl9Djug4RD0iefpCHxCDep9olLtFodgchryWUGRqg3Cy0Y8Fg4gshuXjBsggw8Sg4ZhTfBwRZ3leB9k/ycsPLQGxqPfug3L3KBQZw3CyJRRHG4KQ1+AH2P4Gv0Tkglg+emikoj8W1NZiVJa4J98SdUby8kdLQF/UefdBuVskzprCcbIlBJnaIJzS+gJa0QmJyNWxfHRTpE8vzDYrMDE3ned1kDCSPAAt/rGo9Y7GBbdIFJnCcaI5BJnaQJxhwSAiO8fy0UU+Hj541rc/puenwdsGV8wQSXIlmgNiUSvvg/NuUSgy9sKJlhAc0QShSOMDaEQnJCLqGZaP65BBhv8XNByJZ7PQS8tDLGRZZu9ANAf0Ra28N87LLh0iOd4UgkyNEiUsGETkpFg+ruE25UAsqKzAMJ7XQTfA7BOMZv8Y1MijUSaLxFljLxxvDsXheiXU9d5AveiERES2xfLRiT6+EUhqleOBHNs+dI4cl9knFE3+MaiR90GZLBKFxjAcbwrGYU0gztfJgTrRCYmI7AfLx8/4e/rhee++eDIvFV4mveg4ZGfMvqHQ+fdFjVdvlMkicMYYhtymEBzRBKK8zosFg4ioi1g+ALjL3DE5cBjizxxBSGOB6DgkkMkvDE1+MaiW94EakShs7YWcphAc1gSistYTqBWdkIjI8bl8+RgbOBjzL6gwsJg3CXMVJr9w6PxjUe3ZG2pZBM60hiFHF4IjGiWqajyBGtEJiYicm8uWj75+vTGvWYYJ2cmio5CFSZDB7B+BRr9YVHn1hhrhOG0IQ25TMI5olKhhwSAiEsrlyofCKwDPeUbg8bxUeJpbRcehHpIggykgCjrfaFR59YYKkThl6IUcXQgOaxTQVHsA1aJTEhFRZ1yufNxVPw0XjAa8GzxBdBTqAUkmQ2FTAA5rFGiocrk/vkRETsHl/vbeqOoNo5m3RSciIhLFTXQAIiIici0sH0RERGRTLB9ERERkUywfREREZFMsH0RERGRTLB9ERERkUywfREREZFMsH0RERGRTLB9ERERkUywfREREZFNWKx8fffQR4uLi4O3tjdtuuw179+611qaIiIjIgVilfGzcuBGzZ8/GkiVLkJ2djbvvvhsTJ06ESqWyxuaIiIjIgVilfKxZswbPPvssZsyYgaFDh+K9995DdHQ01q5da43NERERkQOx+FNtDQYDjh07hkWLFrV7/8EHH8SBAwc6rK/X66HX69u+1mg0AACtVmvpaAAAs74JZj7VloiIXJTJzcMqP2Mvf6YkXf9nrMXLR3V1NUwmE8LDw9u9Hx4ejoqKig7rr1y5Eq+//nqH96Ojoy0djYiIyOWpAShXWu/zGxoaoFQqr7mOxcvHZTKZrN3XkiR1eA8AXnnlFSQlJbV9bTabUVtbi5CQkE7XvxFarRbR0dFQq9VQKBQW/Wx74OzjA5x/jByf43P2MTr7+ADnH6O1xidJEhoaGhAVFXXddS1ePkJDQ+Hu7t5hL0dlZWWHvSEAIJfLIZfL270XGBho6VjtKBQKp/wDdZmzjw9w/jFyfI7P2cfo7OMDnH+M1hjf9fZ4XGbxE069vLxw2223ITk5ud37ycnJGDdunKU3R0RERA7GKoddkpKSMG3aNIwePRpjx47FJ598ApVKhRdffNEamyMiIiIHYpXy8fjjj6OmpgZvvPEGysvLMWLECGzbtg2xsbHW2FyXyeVyLF26tMNhHmfh7OMDnH+MHJ/jc/YxOvv4AOcfoz2MTyZ15ZoYIiIiIgvhs12IiIjIplg+iIiIyKZYPoiIiMimWD6IiIjIppyqfOzZsweTJk1CVFQUZDIZvv/+++t+T0ZGBm677TZ4e3ujX79++Pjjj60ftIe6O7709HTIZLIOr1OnTtkmcDetXLkSt99+OwICAhAWFoZHH30Up0+fvu73Ococ9mR8jjSHa9euxciRI9tuXDR27Fhs3779mt/jKHN3WXfH6Ejz15mVK1dCJpNh9uzZ11zP0ebxsq6Mz9HmcNmyZR2yRkREXPN7RMyfU5UPnU6HUaNG4YMPPujS+iUlJfjVr36Fu+++G9nZ2Vi8eDFmzZqFTZs2WTlpz3R3fJedPn0a5eXlba+BAwdaKeGNycjIQHx8PA4dOoTk5GQYjUY8+OCD0Ol0V/0eR5rDnozvMkeYwz59+uCtt97C0aNHcfToUfzyl7/Eb37zG+Tl5XW6viPN3WXdHeNljjB/V8rMzMQnn3yCkSNHXnM9R5xHoOvju8yR5nD48OHtsp44ceKq6wqbP8lJAZA2b958zXUWLFggDRkypN17L7zwgjRmzBgrJrOMrowvLS1NAiDV1dXZJJOlVVZWSgCkjIyMq67jyHPYlfE5+hwGBQVJ//rXvzpd5shz93PXGqOjzl9DQ4M0cOBAKTk5WZowYYKUmJh41XUdcR67Mz5Hm8OlS5dKo0aN6vL6oubPqfZ8dNfBgwfx4IMPtnvvoYcewtGjR9Ha2iooleXdcsstiIyMxH333Ye0tDTRcbpMo9EAAIKDg6+6jiPPYVfGd5mjzaHJZMKGDRug0+kwduzYTtdx5LkDujbGyxxt/uLj4/HII4/g/vvvv+66jjiP3RnfZY40h4WFhYiKikJcXBymTJmC4uLiq64rav6s9lRbR1BRUdHhYXfh4eEwGo2orq5GZGSkoGSWERkZiU8++QS33XYb9Ho9Pv/8c9x3331IT0/H+PHjRce7JkmSkJSUhLvuugsjRoy46nqOOoddHZ+jzeGJEycwduxYtLS0wN/fH5s3b8awYcM6XddR5647Y3S0+QOADRs2ICsrC5mZmV1a39Hmsbvjc7Q5vPPOO/HZZ59h0KBBuHjxIt58802MGzcOeXl5CAkJ6bC+qPlz6fIBADKZrN3X0k83fL3yfUc0ePBgDB48uO3rsWPHQq1W469//atd/k/zcwkJCTh+/Dj27dt33XUdcQ67Oj5Hm8PBgwcjJycH9fX12LRpE6ZPn46MjIyr/nB2xLnrzhgdbf7UajUSExOxa9cueHt7d/n7HGUeezI+R5vDiRMntv36pptuwtixY9G/f3+sX78eSUlJnX6PiPlz6cMuERERqKioaPdeZWUlPDw8Om2IzmDMmDEoLCwUHeOaZs6ciS1btiAtLQ19+vS55rqOOIfdGV9n7HkOvby8MGDAAIwePRorV67EqFGj8Le//a3TdR1x7oDujbEz9jx/x44dQ2VlJW677TZ4eHjAw8MDGRkZeP/99+Hh4QGTydThexxpHnsyvs7Y8xxeyc/PDzfddNNV84qaP5fe8zF27Fj873//a/ferl27MHr0aHh6egpKZV3Z2dl2txv0MkmSMHPmTGzevBnp6emIi4u77vc40hz2ZHydsec5vJIkSdDr9Z0uc6S5u5ZrjbEz9jx/9913X4crI/70pz9hyJAhWLhwIdzd3Tt8jyPNY0/G1xl7nsMr6fV6FBQU4O677+50ubD5s+rprDbW0NAgZWdnS9nZ2RIAac2aNVJ2drZUWloqSZIkLVq0SJo2bVrb+sXFxZKvr680Z84cKT8/X/r3v/8teXp6St9++62oIVxTd8f37rvvSps3b5bOnDkjnTx5Ulq0aJEEQNq0aZOoIVzTSy+9JCmVSik9PV0qLy9vezU1NbWt48hz2JPxOdIcvvLKK9KePXukkpIS6fjx49LixYslNzc3adeuXZIkOfbcXdbdMTrS/F3NlVeDOMM8/tz1xudoczh37lwpPT1dKi4ulg4dOiT9+te/lgICAqRz585JkmQ/8+dU5ePyJVFXvqZPny5JkiRNnz5dmjBhQrvvSU9Pl2655RbJy8tL6tu3r7R27VrbB++i7o5v1apVUv/+/SVvb28pKChIuuuuu6StW7eKCd8FnY0NgLRu3bq2dRx5DnsyPkeaw2eeeUaKjY2VvLy8pF69ekn33Xdf2w9lSXLsubusu2N0pPm7mit/ODvDPP7c9cbnaHP4+OOPS5GRkZKnp6cUFRUlTZ48WcrLy2tbbi/zJ5Okn84sISIiIrIBlz7hlIiIiGyP5YOIiIhsiuWDiIiIbIrlg4iIiGyK5YOIiIhsiuWDiIiIbIrlg4iIiGyK5YOIiIhsiuWDiIiIbIrlg4iIiGyK5YOIiIhsiuWDiIiIbOr/A8nsqZcYAYXVAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x = [1, 2, 3, 4, 5]\n",
"y1 = [1, 1, 2, 3, 5]\n",
"y2 = [0, 4, 2, 6, 8]\n",
"y3 = [1, 3, 5, 7, 9]\n",
"\n",
"y = np.vstack([y1, y2, y3])\n",
"\n",
"labels = [\"Fibonacci \", \"Evens\", \"Odds\"]\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.stackplot(x, y1, y2, y3, labels=labels)\n",
"ax.legend(loc='upper left')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.stackplot(x, y)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Streamgraph"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def layers(n, m):\n",
" \"\"\"\n",
" Return *n* random Gaussian mixtures, each of length *m*.\n",
" \"\"\"\n",
" def bump(a):\n",
" x = 1 / (.1 + np.random.random())\n",
" y = 2 * np.random.random() - .5\n",
" z = 10 / (.1 + np.random.random())\n",
" for i in range(m):\n",
" w = (i / m - y) * z\n",
" a[i] += x * np.exp(-w * w)\n",
" a = np.zeros((m, n))\n",
" for i in range(n):\n",
" for j in range(5):\n",
" bump(a[:, i])\n",
" return a\n",
"\n",
"\n",
"d = layers(3, 100)\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.stackplot(range(100), d.T, baseline='wiggle')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"# References\n",
"* [Data Preprocessing for Machine learning in Python, GeeksForGeeks](https://www.geeksforgeeks.org/data-preprocessing-machine-learning-python/)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"## Licence\n",
"The notebook is freely licensed under under the [Creative Commons Attribution Share-Alike license](https://creativecommons.org/licenses/by/2.0/). \n",
"\n",
"© Carlos A. Iglesias, Universidad Politécnica de Madrid."
]
}
],
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