{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Graphics and Visualization in Python\n",
"\n",
"Python has a bewildering number of graphics libraries, catering to different needs. If you want a better understanding of the Python visualization landscape, see the following series of blog posts:\n",
"\n",
"- [Python Data Visualization 2018: Why So Many Libraries?](https://www.anaconda.com/blog/developer-blog/python-data-visualization-2018-why-so-many-libraries/)\n",
"- [Python Data Visualization 2018: Moving Toward Convergence](https://www.anaconda.com/blog/developer-blog/python-data-visualization-moving-toward-convergence/)\n",
"- [Python Data Visualization 2018: Where Do We Go From Here?](https://www.anaconda.com/blog/developer-blog/python-data-visualization-2018-where-do-we-go-from-here/)\n",
"\n",
"However for simple statistical plots, the `matplotlib` and `seaborn` libraries suffice most of the time:\n",
"\n",
"- [Matplotlib tutorial](https://matplotlib.org/3.1.1/tutorials/index.html)\n",
"- [Matplotlib gallery](http://matplotlib.org/1.2.1/gallery.html)\n",
"- [Seaborn gallery](http://stanford.edu/~mwaskom/software/seaborn/examples/index.html#example-gallery)\n",
"\n",
"As shown below, `pandas` also has useful plotting functionality."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import numpy.random as rng\n",
"import pandas as pd\n",
"import scipy.stats as stats\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib as mpl\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import warnings\n",
"warnings.filterwarnings(\"ignore\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pandas\n",
"\n",
"You can do plots directly from a Series or DataFrame. See [docs](https://pandas.pydata.org/pandas-docs/stable/user_guide/visualization.html). Some interesting plots available in Pandas are\n",
"\n",
"- Scatter matrix plots\n",
"- Andrews curves\n",
"- Autocorrelation plots\n",
"- Bootstrap plots"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"url = 'https://gist.githubusercontent.com/seankross/a412dfbd88b3db70b74b/raw/5f23f993cd87c283ce766e7ac6b329ee7cc2e1d1/mtcars.csv'\n",
"df = pd.read_csv(url)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" model \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": [
" model 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": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1,3,figsize=(10, 6))\n",
"df.sort_values('wt').plot('model', 'wt', kind='barh', ax=axes[0])\n",
"df.sort_values('wt').plot('wt', 'mpg', kind='scatter', ax=axes[2])\n",
"df.sort_values('wt').plot('wt', 'mpg', kind='area', ax=axes[1])\n",
"plt.tight_layout()\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Matplotlib\n",
"\n",
"Matplotlib has a \"functional\" interface similar to Matlab via the `pyplot` module for simple interactive use, as well as an object-oriented interface that is useful for more complex graphic creations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Types of plots"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(np.random.randn(1000), bins=np.linspace(-4,4,11))\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"xs = [np.random.normal(mu, 0.5, (100)) for mu in range(5)]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for x in xs:\n",
" plt.hist(x, bins=15, alpha=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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+PlzuzEwGelV9isGojtOs4Z6q+szw+X8x+KVdPpPTsa6hquq/h4uPHT6mcpY7ySbgp4B3TaP9vkhyMvAiBiOQUlUPVNV/TrGks4H/qKq13pV9tE4AHj+cJ+EJwNcm3P5zgBuq6v7hbGr/DPzMJBpeJaeWTtf5HuCnu2xzJgO9b5JsAU4HbphC2+uSfBY4AHysqiZew9AfA78J/O+U2ofBh9lHk9yUZOeUajgNWAT+atj99K4kT5xSLTA4Ir5qGg1X1d3AHwJ3AvcA91bVRydcxi3Ajyd5SpInAOfyyAl7Ju1pVXXP8PnXgad1uXMDfY2SPAn4IPDGqrpv0u1X1feGX603AWcOv2JOVJJXAAeq6qZJt73Mj1XVGcA5DLrAXjSFGk4AzgDeWVWnA/9Dx1+rxzWckOY84ANTan89gyPS04AfAJ6Y5FWTrKGqbgPeDnwU+AjwWeB7k6xhNcNJgDr9Rm2gr0GSxzII8/dV1YemWcvwa/31TOfcwguB85J8BbgaeGmSv5l0EcMjQqrqAIM+4zMnXQODSdT3L/mmdC2DgJ+Gc4DPVNU3ptT+y4AvV9ViVX0X+BDwo5MuoqreXVUvqKoXAYeAL026hiW+keTpAMM/D3S5cwP9KCUJg37S26rqHVOqYS7JKcPnjwdeDnxx0nVU1VuqalNVbWHwFf8TVTXRI7EkT0zy5IeeAz/J4Ov2RFXV14G7kjx7uOps4NZJ1zG0gyl1twzdCZyV5AnD35ezmcJJ8yRPHf75gwz6z98/6RqWWDpd56uBv+9y52PNWNQ3Sa4CXgJsTLIfuKSq3j3hMl4I/CLwhWEfNsBvDWd3mpSnA+9Jso7Bh/M1VTWVSwZ74GnAhwe5wQnA+6vqI1Oq5Q3A+4ZdHncAr5l0AcMPtZcDvzLpth9SVTckuRb4DIOrwm5mOrfffzDJU4DvAq+f1EnqlXIK+D3gmiSvZTB8+Cs7bdNb/yWpDXa5SFIjDHRJaoSBLkmNMNAlqREGuiQ1wkCXpEYY6JLUiP8Dq5fbgPIbDYQAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.boxplot(np.random.random((6,10)))\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n",
" s=np.random.randint(10, 200, 100), \n",
" c=np.random.random(100))\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAP0AAAD4CAYAAAAn+OBPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAATIklEQVR4nO2d78ucV5nHv988da2bJkjXtMs26TbgQglR0A0lbaErtkitoWHfrbsK4ou80aWFSlEL+w+4WF8oSHQXFizILiouomgLSlnaimltbWurFLs2Ldqk9EXbaJUk1754ntlMxpl57pn7/Liuc74fCGSembnvM+c+n/O97h9zD80MQoh+2FG7AUKIskh6ITpD0gvRGZJeiM6Q9EJ0xiU1Vnop32a7sPuiv+3ERtJ1XPa2ch/trTvTtl3U4Q9nzhVZzxu/P5t8mWdwcdtfwalXzGzPvNdWkX4XduPv+U////h67Ey6/MMHr0y6vEXsv2H39i8SoXj+odeKrOeRp15OuryHceaix1+xe3+96LXVy3sJLzyx/4bdRbbt4YNXJh2rq3hUJeknRBS+Ndk3broi2bLOPXgq2bJqM9nOuZP/8MErk6X+9dj5J4k/j2rSpxResi8npdhj1hNxUth/w+7mxK8ifcqDdhL+AqXkXpd57YswEZRI/dTif2XJ81XL+7HkFt677N4lH8LsZ/A8CeRO/ZTiLyOs9DmF9yx7C6Ivw/skkDv1S4gfUvqehG9d8u2Y/vyeJoCcqT8Z37nkDyd9L8L3Lvs8vE0AUVM/lPS5hPciu0QfzqSvvMgfSfww0rcqvEQfh5f0jyR+9SvyhtCi8Bs3XSHhE1O7T3NezZfSAffS5xC+1KWW86g9MHugdh97F9+19LmEr0HtgdgjNfvcs/hupW9FeMlen1rbwKv4Lg/ktSC8RPdHjSP+pb64swrukl7Ci9zUSP7UY3CMJ66kTy186QN2KuVjUXp7eRE/mfQkN0j+lOR31nl/DuFLIdlj05v4KZP+DgDPrPPG6MKL+JScuGuLn0R6knsBfAjAV1d9b1Thle5t0oP4qZL+CwDuBnB+0QtIHiN5guSJNwbc0mcdSgov2qXUhF5L/NGn7EgeAXDKzB4l+b5FrzOz4wCOA8A1/CtbpZFDKCF8S7LvuPbyrMs//+yrWZdfgo2brsh+eq/E7bhmSXGe/kYAt5O8DcClAHaT/JqZfWTZmyR8GXLLvcp6I04E0cQf8uUcpvyp6q2k/5SZHVn2uoN/frX91zvvTrJOCX8xtSRfl0gTQW75Uyb+gSf/+VEzOzTvOZdX5A0lt/ARZI8m+SzT7fc+AeRO/VKlflLpzexHAH6UcpmL6Fn46KIvIsIE0IL4rq7I84JX4Xdce3mzws8y+aweP2/u8ZE70EJKn7NTvAnvefCXwuPnjyx+uH36XoT3Nsg9MOkTL6W/p/v0rUKopO9BeI+p5g1v1U+usZNrvIeRvnXhPQ3iSHjpt0jih5C+ZeG9DNroeOjDKOKHkD4XNYWX7Onx0KcRxHcvfa6UryW8h4HZOrX7uHb1uB2upW9ReFGO1sRP5YNb6VsSvnby9EzNvvcqvlvpc1BLeFEfiX8Bl9LnSHkJL1RxbeJO+haE1+DyTelt4y3t3UmfmhrCC//0LL4r6VOnvIQXyyhdkXk5ledG+tq/Ez8WCR+XyOKv440b6VNTalbV/nsb9CS+C+mjlvWSvS162Z4upE+JhBdjKLVda6Z9dekj7stL+LaJKv5Qqt45J2JZ37LwO/ZdvfJ7zp98IUNL6rPj2suL3KEn5Y02h95UM9ztshYh4YezjtyrLquFyaCU+CkZIn416VOmvIRfTkrJ111n1EmghPglfkVnmmaSPicRha8h+jIiTwLRxN9/w27gycXPV5H+rTs3ki0rd8pHEt6b6MuYtDWK/BFL/UVUP3ovxrNj39WhhJ9m0vYI7c8dAKWO5ocu73tP+QiirEKE9G8h8cMmfc/CR0nGdWn98y2jyEHp7GsIiFfhe5PB62eNXuaHLO9zdopH4b0O/hJ4Lfkjl/lKeuf0LPw0HqucnAGRNdiyLTkTvaS8x0HuAfXJeMJJnwtvwovFeOqfiGkfSnovtxvKiacB7RlPlZCnwBjCaOlJ7iP5Q5I/J/k0yTtSNKwkXjaal0Ecidb7LEfQpUj6swDuMrMDAA4D+ATJAwmWexHZSh0HwntKrYh46DsP42goo6U3s9+Y2WNb/38dwDMArhq73F7wMGBbwEM/5hI/deAl3acneQ2A9wD4ccrltpryHgZqS6g/h5FMepKXAfgGgDvN7E++xU/yGMkTJE+cfvP1VKsNiwZoHmr3a4S0TyI9ybdgU/j7zOyb815jZsfN7JCZHdpz6a7By24x5WsPzNZR/y4nxdF7Avg3AM+Y2efHNyk/Er59avZz7d3G7UiR9DcC+CiA95N8fOvfbQmW29x5eQlfltb6O5UPo79wY2b/A4AJ2lIE77OwSMuOfVdX+bKO5y/khLoiLzKtpU4kWur7FGnvVvosVyJVSvmWBp0Yjteq0q30rSDhfaDtcAFJL7qhyv3/M6T92CrYpfStlPZKF+ERl9K3gIT3SStpP4YupPfW6aIuLUzIY6phd9K3cEFOC4NKtIs76aMj4WNQejt5qjabl95TZwuRknWrYlfSRy/tlfKx6DXtXUmfGi+dLIQnmpa+JEr5mPS43SS9EIFZZ5fYjfTR9+dFXEqmvYddTjfSp6Zk5/ZYIoq4NCu9EKvQ08Qt6UfS02ARaUhdha66ayzphegMF9In/wUPBwdLRDx6qdpcSB+VXgaJaAtJL0RnSHohpihVvVX9wZVqa86E9udFj6xyXKw56Uuh/XkRlerS6/JbIcpSXXohvNF6FSfphegMSb8GrSeBKEO1n1mrslYhRDUkvRCd0ZT0OkcvxPY0Jb0QPTP09LekF6IzJL0Qc2j5DE0S6UneSvIXJJ8j+ekUyxRC5GG09CQ3AHwJwAcBHADwYZIHxi5XCJGHFEl/HYDnzOxXZvZHAF8HcDTBcoUQGUgh/VUATk49fnHrbxdB8hjJEyRPnH7z9QSrFUKsQ7EDeWZ23MwOmdmhPZfuKrVaIcQMKaR/CcC+qcd7t/4mhHBICul/AuBvSO4n+WcA/gHAfydYrhAiA5eMXYCZnSX5SQDfB7AB4N/N7OnRLROiIudPvlC7CdkYLT0AmNl3AXw3xbKEEHnRFXlCNMK5B08Nel1T0p9/9tXaTRDCPU1JL4TYHkkvRGdI+jVo+ciuKEet3VFJL0RnSHohZmi9kqsu/dDTDEKINFSXXghRluakL3VwpPUSULRLc9ILMYaok/kqu8mSXogK1Lx6VNKPIGoqiL6R9EJs0csk7kL61Kft9MUbIRbjQvrI9JIOIh2pQ2nV0JT0QqCvybtZ6VXiCzEfN9JHvhy3p5Rokd62nxvphegBDxWopE9Eb2khfLBOhdy09B5mVeGbHidrV9JH3q8H+hxAkSm9vbyEkCvphRDDWTckm5e+9OyqtI9BrykPdCB9DSS+8Iw76XPs13uaZUV9ep+U3UnfCr0PLHGBHKEzJhwlvegKTcZOpW+lxNcA80WN7eEt5QGn0reExPeBtsMF3ErfStoDGnC94vUAslvphUhFS5NuijDsTnqlfV/U6nevKQ+MlJ7k50g+S/JnJL9F8u2J2gUg/rX4s0j8sqi/5zM26e8HcNDM3g3glwA+M75J+ak5C2sglqFmP+caX6lCcJT0ZvYDMzu79fARAHvHN+liWkt7QOLnRv27nJT79B8H8L2Ey8tK7X0uDcw81O5X7ykPDJCe5AMkn5rz7+jUa+4BcBbAfUuWc4zkCZInTr/5+kqNzJX2Er8t1J/DuGS7F5jZLcueJ/kxAEcA3GxmtmQ5xwEcB4C/3bN/4et64/zJF7Bj39W1mxEeD8JHSHlg/NH7WwHcDeB2M/tdmiaVpXbaAz4GbGQ89J+HcTSUsfv0XwSwC8D9JB8n+eUEbZpLzgN6HjbY+ZMvuBi80Wi9z3KM+23L+2WY2TtTNURsonJ/OF6E9xAaqxDqirzW036Cl8HsFU9VUc5xk2u8h5Ie6Et8LwPbE+qT8YSTvjc0yDfxOAlGTHkgqPS9pP0EjwO+JB4/u8dxMpSQ0ufG6wb1OPhz4nWyyz0+cl96Hlb63B3jWXyPIqSkh89Yk1Gn7EQ9JlK0dHovgujRUx4InPRAv2k/zSQVIwiziCjtb0F4oJL0fzhzLtmyJP4FosgDxJusIo2D7VB5P4Dzz76KHddeXrsZg5kWyVP5H0XwWUoInzK8nn/otaXPV5P++Ydew/4bdidZ1rkHT2HjpiuSLGsR0cSfMCtayUkgquTTRBN+CM0kvcQfxiIRx04GLQg+S8SSfruUBypLnzLtS9GC+PNoUdoxlBK+xu3gQh+9n6VUB0ZMADGcqMIPSXnAgfRDGzoUiS/G0LrwgAPpAYkvfNDL9nQhfWR6GSitU3I71kx5wJH0UdMe2Bwwkj8uPQkPOJIeiC0+oNSPSGTh18WV9DmQ+GIepauzHONw3ZB0J33qtAckvriYFrbPGE/cSQ+0I34Lg6s1amwTL2X9BJfS56JG50t8H9SahD2V9RPcSp8j7Wuh1K9Lrb73KDzgWHqgjTJ/GolflpqTrbeSfhrX0gNtii/581K7j3ONr1QuuJc+F7Vn4toDs1Vq96l34YEg0ufav68tPlB/kLaCh0k0gvBAEOmB9sWvPWCj4qXvoggPBLtzTq6bbkw2WO4772zH9OBt8UYdKfEg+gQPwbEKYZJ+Qs5TeZ42npcE84a3fsk5ZnKN9VBJX4IS99pbhckA7zn5PUk+TUThgaDS5763njfxgT5L/x5lB/JfmBauvJ+Qu2M8lfqzTEpcr1KMwftniy48EDTpJ/SY+LNErwC8yj2PFoQHEklP8i4A/wpgj5m9st3r3/j92RSrBVBGfKD+kf0hzArkcRKIJPk0kYR/5KmXlz4/WnqS+wB8AMBKN05/5KmXcfjglWNXD6DM/fMjpP4siwQrNRlEFXyaErt5pb9cliLp7wVwN4Bvr/pGiV+HoTIumhxakHkIEYXfLuWBkdKTPArgJTN7guR2rz0G4BgA/AXyyFlKfCBGuT+WXuSepdRB3BrCAwOO3pN8gORTc/4dBfBZAP8yZEVmdtzMDpnZocuwc+WGDqVUqeT56L5Yn9aFBwYkvZndMu/vJN8FYD+AScrvBfAYyevM7LeDW4C0ZT5Q7jfyekr91ik5idcUHhhxnt7MnjSzK8zsGjO7BsCLAN67qvAToiY+sDlglPxx6Ul4wNnFOZHFB1TyR6P0ZO3lFnDJpN9K/G3P0W9HC+JLft/U2EY5xuG6rrhK+gk5xJf8AqhTjXkSHnAqPZBefKBOeSX5fVAr3b0JDziWHmhHfEDy16JWv+caZymccC090Jb4gOQvwaSPa/WzZ+GBANID+cSX/G3hoU+9Cw8E+mpt6gt4JpS6kGcR04NUF/msR23RgbzVY+rQC5H0E3IkPuDn/KmHpIpC7RJ+mkjCA4GSfkLOxAdQNfUnKP3n40HwWaIJDwSUHsgnPlC/3J+l9wnAo+hA/uowl/BAUOmB/OIDPlJ/mlkBWp0EvIo+IWK6TxNWeiCv+IC/1J+llUnAu+QTIqf7NFWkP4NzyZZVQnzAX+rPY5483iaCKIJPU+JAb0rhH8aZpc9XS/qHcQbXT91MYwy5xQdiyT/NMslyTQgRxV5Ea8IDlcv71OIDKCJ/NPEX0ZKcqSl1Gre08ICDffqU4gNKfTGOiLIDw4UHnFycs0qDh1DqgEjtS3lFWqIKvyo0s/IrJU8D+HWGRb8DwOgbeRQiUluBWO2N1FYgT3v/2sz2zHuiivS5IHnCzA7VbscQIrUViNXeSG0FyrfXRXkvhCiHpBeiM1qT/njtBqxApLYCsdobqa1A4fY2tU8vhNie1pJeCLENkl6IzmhSepJ3kTSS76jdlmWQ/BzJZ0n+jOS3SL69dptmIXkryV+QfI7kp2u3Zxkk95H8Icmfk3ya5B2127QdJDdI/pTkd0qtsznpSe4D8AEAL9RuywDuB3DQzN4N4JcAPlO5PRdBcgPAlwB8EMABAB8meaBuq5ZyFsBdZnYAwGEAn3DeXgC4A8AzJVfYnPQA7gVwNwD3RyjN7Admdnbr4SPY/OVfT1wH4Dkz+5WZ/RHA1wEcrdymhZjZb8zssa3/v45Nma6q26rFkNwL4EMAvlpyvU1JT/IogJfM7InabVmDjwP4Xu1GzHAVgJNTj1+EY4mmIXkNgPcA+HHlpizjC9gMqPMlV1r9W3arQvIBAH8556l7AHwWm6W9G5a118y+vfWae7BZmt5Xsm2tQvIyAN8AcKeZufxGFMkjAE6Z2aMk31dy3eGkN7Nb5v2d5LsA7AfwBElgs1R+jOR1Zvbbgk28iEXtnUDyYwCOALjZ/F008RKAfVOP9279zS0k34JN4e8zs2/Wbs8SbgRwO8nbAFwKYDfJr5nZR3KvuNmLc0j+L4BDKX4+OxckbwXweQB/Z2ana7dnFpKXYPMA483YlP0nAP7RzJ6u2rAFcHO2/w8Ar5rZnZWbM5itpP+UmR0psb6m9ukD8kUAuwDcT/Jxkl+u3aBptg4yfhLA97F5UOw/vQq/xY0APgrg/Vv9+fhWkoopmk16IcR8lPRCdIakF6IzJL0QnSHphegMSS9EZ0h6ITpD0gvRGf8HTHWZM2HPI2UAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = y = np.linspace(-5, 5, 100)\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = X**2 + Y**2\n",
"plt.contourf(X, Y, Z, cmap=plt.cm.RdPu)\n",
"plt.axis('square')\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.stem(np.random.random(8))\n",
"plt.margins(0.05)\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"x = np.linspace(0, 2*np.pi, 100)\n",
"y = np.sin(x)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y)\n",
"plt.axis([0, 2*np.pi, -1.05, 1.05,])\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"xs = np.c_[np.zeros(10), np.random.choice([-1,1], (10, 100)).cumsum(axis=1)]\n",
"plt.plot(xs.T)\n",
"plt.title('10 random walks', fontsize=14)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Displaying arrays"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"x = np.random.random((80, 80, 3))"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(x)\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(x, interpolation='bicubic')\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(x.mean(axis=-1), cmap='bone')\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(x.mean(axis=-1), cmap='Reds')\n",
"plt.xticks(range(0, x.shape[1], 4))\n",
"plt.yticks(range(0, x.shape[0], 4))\n",
"plt.grid(color='white')\n",
"ax = plt.gca()\n",
"ax.set_xticklabels([])\n",
"ax.set_yticklabels([])\n",
"ax.xaxis.set_ticks_position('none')\n",
"ax.yaxis.set_ticks_position('none')\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Colors"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n",
" s=np.random.randint(10, 200, 100), \n",
" c=np.random.random(100))\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n",
" s=np.random.randint(10, 200, 100), \n",
" c=np.random.random(100), cmap='summer')\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uh/9FWHcwisoUVShqEts3gsUK3kjObgnrlh8UdO9SKHoB3JNBukBkgfNCyL0TLB0AyO8E63+AgIGGIKCPq5M5NasOpXkujPiHfosR6ZIEL/HAz0HwnFjhkTwkNyG5GdF+KtpblwDw3gh9Vh6JQADm/wI7t0CDpjGbdAgqf02hqEk4s/VF0EhoGmTlgPTB7qthxwlQOgaCu3VBDxZAybuwvRvsHgIyQNeb9Hhzo9TrmMGCHifSJwme44HpQXARIgHBAdiRf11I8C2N4kLYvNrYvk1mmP1j1W1Ugq5IHoEATP8E7jwZ/tkSHuoL86el26qaTeOW0ad5fh+cfA7svgpcE0C6OVyd/Pp218ew5wbyWkqan6ZnhUbD4oR/PBp9XHVDjgnA/CBRa4u5QN7rw7tJYjLoAwkGwRM9zyoqStAVySHgh0fPhZduhJWzYNdGmPcdPD4Q3hmebutqLkLA3c+B3RH6cbsTBv8LLPPB/bU+I4+EdIFrPHhmcuEnkNs8sqhbnNB9KBw1IPyY6oiUEvmMjzANlkKS+7nP8Nqz2QyNjLf0DcsRK+geXPzCO7zKRYzkDEZzCTP5GB8xLOUrwvPt27D0Vyir5ED0uGDyq7BiVnrsOhI4bQDcP1oXb0d5Zw2rHaw2uOA6uOMZKHoWZBTn7gGkC4qex54H182FDoPAbNfFGwAB1mxw1oezXoA+I5LxotLMagnbY1jlLQPt/QBnXxa6OUplTBY48az4zTuASFd0Yffu3eXcuXNTftwgASbyMNN4GYGGh4ONH+3kANCf+zmXBxAhm3AqDHH9UbA1jANRCOh1GTzwSWptOtJwlcD342DLOqidD2cPgvxGIL2wKQti6BoEZmju+duR7t4HK8ZD4UZd3Bt1hzbnxOZnr07I3wMEz/VAlLykQ8iFjbOcXNkdyiLM7O1OuPVJuPJuY7sVQsyTUoZMJDiiolyCBHiZgaxkOt4Q105lFAPwNU+xg7+4nveVqMfLnu3hH5MyvNgrEoczW5+RVya4H4QZZCyCjj6jF/qkx1Ebug6puonVBoeIPQzTBq07wMgJcO8l+tJF5fVqRxacfw38312JMbOGnk9D8zkPhhXzinhxMZcJfM+oFFlWA6nTMPxjQkCTGMqTKhKLyIpdzAmACOOXPxLoKIzXggFdWU/XfS09+8G4JXDxTbqAC03PGD3pLBg1Ce5/NXphx1gOe0TgoZQfeTWqmB/Ai4uveTqmZrbJRgbBNw2K+8H+prC/OZQMAv/smBP/ks+Fd4HNGfoxqwMG3p5aexQH0bLAHOMJ1dJFn9UfoQi7gOvNGC7l7gBt2MH3q2lrGP4K/F6iNxaf49MTiU48I7F2HjGCPouxEKP7JICPhXyVHINiJLgfik+BkgvB/y3IrSA3g+9zKO4DpReCzKT13H43QsdTwF6p3b09C869WX9MkT5qDddn6kYQ2VDrsEZlRxzaPWYIM0c5BDtwogY9QsurxZq4GXlljhhBX8hXeDG4ql9OGcUs5dskWWQcGYCSsyCwACqs4eoEgVLwfQ+lV6bBuHCYLfCfqTD0NWjXDeo1hS594OEJMOT5dFunyBoMpoZEX0Yzg6mZnjl6hCOaamg/2vUWPuFm6k6gs4Y2yYZIlmpH4Ii5hnLHtDx9kFL2JdiS2PFNgcBKIFLatRt830BgCZgS0H4xIZjMcOZV+k2RWQg7NPgZdv4D/DsgZPcgB5ibQcPpIBJUxraaI7ppaEvsBJ/zw7t+fUos0AOG8gXiXjPiBjPCmp5giiNmhu4kvtqm2aSvP+ABPM9y+Mw8FD4oezHJxihqDuYm0GgR5D2hz9ZFFoha+v+mJlD7v9BoPpgapNvSquMOwD6vsU5EURDNNEwvWdF2OdCm2dAm2dBm29HW2dFutaRNzOEImqF340JW8OMhcefRsJFDF85PolXGCCw1ONAP/j+TakpG4EXyBZLvkBQBjYH/Q+MEUGGmsaLlQK17IPdu8K+GYCFoeWBulzxHbyqZvA2eXAELCsEk9NK5t7aGe46COtGvOnwSJpXAqH2w2qt7OJua4fbacHmOwNnDQNZQCjliEou8uLmD+jEJeg75vMB2NNL7oe2vDXK/sbHaMVCr0gnA64X9RWC1Qm62XpupOiKRvILkUSRBKM8a0C8zHeiNbsegcZISdQXA8CUwei2UVqpTY9Mg3wZz+kDD8LXPZ7nh/K3gkVBcSSazy8PSP2oEF2Qn3vRIREosqqY/7dix4uAc7sFqaJkarDgZwGNpF3MAUyeDA81gLq/oKSVMnwn9r4OsTtCiFzQ4Aep1g4efh207w+yj1A2L18KC1bCvOMyg9HAfQR5EUshBMYe/14VZBZxBkOkZWYhbkVK+3RFazAE8QdhRBoPCl5+Y5YYztsDu4OFiDlAioVTCFdthQlEC7a4ihmboQoi+wEuACXhbSvlMpcdfAE4vv+sE6ksp8yLtMx2p/0GCvMkV5REv4ePRrTg5lev4P17OiEt471dQegXR/egOyP0TiltAv2th6SooCfEybTZ9Hef5B+HWA5ExG3fA0x/DR9P04hNC6B3M+50Aj/4Tjk9vLdSvkQwmaChOKQfYhEZeBnx2ijTR62f4dXfkMXYNFp8J7XIO2eyX0Ggd7A5xLgiFQ8Cm1lAvRXO/Ks3QhRAmYDTQD+gIXC6E6FhxjJTyLinlcVLK44BXgIlVtjoJaGjcxCecz8M4yPu7dssB7OSQTT0u5dmMEXMAS38wtYeI/XIdYDkXytpAz0th/rLQYg7g8UCZB+59Bl4ZA8xfBV1uhHe/BZcHil1QVAoeH0z6A069HSb+moRXZpwnDYo56IVgx6hZ+pGLlPB7FDEHfVbz/eF97L8q0SfxsfBOfEF0CSfqDF0IcTLwmJTynPL7DwBIKf8bZvwfwL+llD9E2m+6inMdwI+PBXzJEr7FxT6yqMvxDKAz/TPCzVKZ4H4o6QuBZRw6U9cAO1jOgqzP4F//hXfG6YJthIaWErbsuAJTYZTpv9MGf/4POkXo+psk1iI5lmDIwLpwNAM2ZeDnqEgBAQmWidFrr1g1eKYT3HXo1ec/NsFv0WqeV6KRCba1ie058VLV4lxNgIotTLcAJ4YaKIRoAbQCfgrz+BBgCEDz5glqcx0nZiz04FJ6cGla7TCKlgc5M8H/E5Q9Vx75ooH5JLDfA+YeUOqC9yYYF3OAK/Z8i9/liy59Hh+M+AQ+fDD+FxEnq9EvTmIR9K3oi6iZcpWlSCEmAU0dsDnKN8aqwbG5h21eFaXhUyh2BvSISC3NX7dEL4oOBiZIKUN6n6SUb0opu0spu+fn5yf40DUfIcByBuRMhbzNkLcRsj/TxRxg3JTYI83+tf9zbD4DZ4BAECb8Aq4Ypy4JQDlPFDFzz1F6iGIkcszQp/5hm+Pqhy2hywfQ/E045n34z0zYFUMzjERhRNC3ol/BHqBp+bZQDAZUkes08edCfZYeC439e4wPNmmwY29M+99XCqO+h0Gvwa0fwZz1sdkH0IbISbKhaETmxqTv3QbrF8LmZeDKoAiJGsWNraBtlh6iGAqHCcZ0Dzmlbh5Hdo70wdLdsLkYlu+Bp2fr4j5yTuz7qgpGTJ8DtBNCtEIX8sHAFZUHCSHaA7WBmQm1UGGYcIugkQgIzfiUREqwGP+2z1gJ57+iX4q6vPpv54M/4Lwu8PGN+vnBCEchaA8sMHhcB3BHhom5zwt/fg5fjoBtK8FsA6ReH7vHADj/HmjbI91W1iAcJvj9NLh+Hny1Hcya/v0VQD0bvNMt5Owc4I7acOtOPTTREAFgw6Gb3OVFWh/7Q/953Zeizzbqr1NK6RdCDAW+Qw9bfFdKuUwI8QQwV0o5uXzoYOBTma5MJQUN8yFblnF50UxuLf6Jhv5C/EJjobU5z+f1Y4a9/WE+mfnWdvT0LDN2AIcNGtc1NHRPiS7mJRW8OUEJpV74ahGM/Bbu72/0lcFDaFxtMNJFA67LIEHftwMeOw32boWy8rXnil6umRNg3tdw2rVw3cvVN/Er48ixwLiTYFcZTNsFZUFonwMn14nom7w0G4buIjbfy8bQm11++PfvcFUHaJSCBKQjJlP0SGDVk3/Q5N/vIxFkV6ilGwRKhY0dplqc0+ge1lsOzkwGlP7Ox7ufJjsQZQHJboUHr4BH/mnIlpHfwr8ngzuMr6ReNuwcZVy8JJKbCfIxRBR1JzAejf4ZIugl++De42HfVr1vdiRsTuh9Ndz4v9TYpgjPlBK4ZDu4o8mjH1jBYTP0ithN+gz98Z6JsU1lih4JvPcr7Z55nyzpPUTMQf+Qc6SH1v4C5m59jBa+gr8fm17vJFwtWoAtQuV+TYPa2XDbBYbN+WNNeDEHKC6DvTFUM97mE3Tco9F9p4Zlt8BZaR03Gz0c6+sMEnOAD+6B/dujizno/bN//gCW/Zx8uxSR6Z8NnzUCp9BvlREBdFdLFDEHKAvA2JWJtzEUStBrApv3wG0fIFyRlw5NSHKDbsbvHA3oV51Z2SayfntWzwTNDtFiLNsBTevB769AncNDvMJRNztyxE1QgtNARdbdfjhvA7RdBffvEPxcIBA7BL41GrXXavT0wFXAl2hsRuP0DBJzVxH8/gn4Y1jR9bhg8sjk2aQwzvnZsKU1PFkXmpl1sdSAehrU2Qr8SFQxP0BxrKv6caIEvSYw+ifDZUHNSI7xbeVY/1Zq58KMsZDVKBt+fxkmPg5ndoW6uZCXDd2OgreGweoPoVWjmEy6tic4w0z6BXBmBz1XKRK7/dB1DXxfAmVSvwF4EfikoNAtWLbWxCMeE2cgMi6q5bexcRQslLBkGhQensCoSAO1TXB3HT21399OvxW0haMLgBjyPXJTVE7+iCmfW2OREl7/CTzGe59aZIAnbdM4/uurad64fKOmwVnd9VsCOKUtnNkRfliuR7gcQADZdnh+UPR9DNkKO/wQLs8jCBQF4eJNsDi9pWZCsn6BPuOOFYsdtq+GWqGDMBRpouLJ+aqOsKgASg0kIdlNcGXH6OMSgZqhV3dcXiiNrZmohSADG249KOZJQAiYcAsM7wt5TrBbwGKCs46BWQ9ChyjH3unXF6ai/V6CwFovzI8ljTRFxCPmBzCS66VIH1d2iK0x+5DOybOlImqGXt3J4ChRswkeHQAPnQcFxZBt02fnRphchOFKLGUSPtkPXUMsAaSTOo1BaCBjLPQUDECOsehQRZrItsIbZ8GQHw7GnIfCaYb/9ISGBvtxVxU1Q6/uZNnAEaODzqRB+9h84lXBpEHDWsbFHGBvALwGz1VBYLtxj1PKOHmQ7j6JFXsONM+UvrCKsFzZURd1h1kX7oo4zLqr5elT4a7EeDENoQS9uiME3NgbrDFUFrSZ4dY+ybMpAeSZwGhrRgHUz8BrzTbdIL9FbM+xOuD8u1VyUXXhqo6w42YY0Qu6NYBWteC4fHj8FNhyE9zRLbX2qK9NTWDomcYVQAho1wCOi1FpUsx5OXqYrxGcAi6rlVRz4uafz+kibQgB9mzoc31STVIkmFwbDD0e5l4J626ABf+Ee3tA3TS4AJWg1wRa5cPIy6IHdgsg1w7jb0uJWVWhiQX6ZEVf5BFAUwuckGH+8wN07Q//90x0URcaZOXBY9Mhu3ZKTEsZLvy8wzo68S25TCSLz2nOV/ybpWyPqShyBBYuhUefhWGPwdiJUJb6qqCZgEr9r0m8OQPu+FivglU5ySjHDrkO+OHe6CEmGcJ2Hxy3Rvenh3KRCyBbg5mt4Zg4fNWH4Q/CNxvg87VQUAbZFvhHI/hne8iLEjQfhdlfwvt3QVFBefRL+c/ObNUvmtqfCje/DfVbVvE1ZBhj2MCtzENDUFLpU7SjIYHracXLHI8pnvllcQkMvAb+nK+3TAwEIDtLX7iZ+C70OTUhryOTiJT6rwS9prG3BN77DV77CQqK9FCTY5rAff2hX2fjJQ4zhG0+uGwzzHFLfFISRAOCIAKYrMXc2mwrj9jbkk8VpuhSwsuL4cm54A1AcYVgySyz3gHnsnbw8j+qlCEiJaz8DWaMgT1bwGKDFp3hzCFQr1n051c3XmU1w1mMK4rzzImJs2nI55yCFmtyWJ9L4I85uphXJssJs6dAx6Nj22eGc8QJ+gdM5XHeYQPbqUMuQ7mEB7kaSzWN0ixE8i4exuDDDZyKibuw0ekIaLEmkTzDPB7z/EWgsC0Bvx1MHshdB44CHJiQwCv04gY6xXEACdf9BOPXQGmEUBmbCZplw6xLoG4iLgdqNrPYwxnMiCrmB3Bi4lE6MpwOxg+yYAmcOhBcYdw2JhMMvgA+etX4PqsBVW1BV614ivd5mg9wofvQdlPICD5iNsv5mucyLj08GusJcjIlFCM5kKeyjiCf4OMV7FxP1VwBmc7jzGYk8/Ha/FB/9mGPu8sF4w5+JQgMiVXU/zMXxq3R65xGwhOAjcVw9mSYc2n6e41lOP9h+d+fjRFcBHiWvxjG0ZiNul4mToncbzEQgC+nGrYBKWH+ftjvgw450DhDF2YiUL2uv6NQSAn/4f2/xfwAbjz8zAJmszxNlsXPAEopqCDmoPuT3cC/KGNlDD+a6sYCChjJfFwhPeiH4sLPnfzCJoqNH6DUB8/Mjy7mB/AFYdV++HGL8WMcwOuCPWth7wYIxNG0MpX4glAWf2D/dtxMkztjbuXmI8hXbDP+hOISCEbJ2vIarIr17Q5oNgVO+xkungltvoVzf4c91Stlt0YJ+m8swkroilAuPEzhjxRbdBAfPiYwiXO4mGPpSVd6czW3MJ9FYZ8zjwDrCBLuK+sDXoq5OVv14Xnm44nhhBUA/sdi4wf4ZHXsv4ASHzw73/j47Uvg0yvh8brw4nEwqhM8Xg++uQ+KYhCvZFPkhVeWQstPwP4OZL8PeWNg+J+wqSSmXU1dUoCpJHZpKcYfm6B366wvgEaiXevo+/m5AC6aBVvLoCQAhX69Gca0ndBzBnhjTPVNIzVK0M0RfMomNCxhxD7ZvMfH1Kcd1zGU7/mJpSxnAYv5mPH8g3504mSWVrx6KCyE994hMPIZTvpjVtj0fj/wh4HZa3WkBC+fs5ZADPM8LwFeZylBo895dzmUxPH+zdiqu2CisfATGH0SLPwU/GXgLQFfKXiK4PeX4PmOsDWGk0OyWLoX2nwGD8yBjSV66m1AQqEXXlwKHcbBhHWGdlW6BFa94SOgxbc2tyeWCcql50d2fWU5YbiBEN1hi8Ed4vP0Stjqhi/CtVDOPAwJuhCirxDiLyHEGiHE/WHGDBJCLBdCLBNCjE2smcbozfFh57MWzFzMaak1CHiK5xnKveynkGIOnekECODCzXL+4mTOZi4L4NdfoHVTGHYH3R97jEnnXcT3/S/EEubSMbuarQkYZTMlWOKYb7jxU2i0rmlBnLHKFg32RXnu+t9gwvXgc4EMIRYBL5QVwptnQNH2+OxIBJtLoNdXsLss9KKwNwiuAPxzBkyLLmxb/gO2QjOmQHzfy9xYlvXsdvj8HXA6Dk+sy3LCOafBlZdE3sd+LywuDP94SQA+2mTcpjQT9RcjhDABo4F+QEfgciFEx0pj2gEPAD2llMcAdybe1OjYsfE/7sXJoVEIWdi5jnPpQMuU2jOF73ma53FFSZ6QSEoo5Wx5IfuuGwAlJVBaiub3k13qoufMWQx74ZXDnpcFXEeKCi2nGD/BuBawNQR+ozN0a5wXqAGpR71E4tv7wWcgacbv1mvRp4sn5h8aphkOdwBu/i1qMbj930GHP+sQMMc+Q8/GTG9irBl8Zi+YPRUuG6gLu9kEHdrB6P/C+LeiZ1D7ZPQF7lCz9wzFyDf6BGCNlHKdlNILfAoMrDTmRmC0lHIfgJQybeX5r6Iv3/ECZ3MCjalHd9rzDg/yCsNSbsvDPBVVzCviCbh577LDfwhOdxlD3hlzyDYzUA/B5WlyIyWbhmThicOdFESSZ/Qk16VefNEqDjPUihBdtGcdbJlnbF9+D8x6zViPukRT4oOP14DfoPjucMGf0X/azVfn0GZJ7LUYgkgup3nMz+OYo2Hs/6B0Hfi2wPJf4OpBxsph1LPqt3A4TdC3Yew2pQkjgt4E2Fzh/pbybRU5CjhKCPG7EGKWEKJvqB0JIYYIIeYKIeYWFBSEGpIQTqUL3/EiW5nMHN7lMs5MebjiUpazktUxPcdl9vL8bYJgCFOz3G5y0HtnOoAemJhJNs4a6nLJx0F3GsT0HA3BBbTBYjQ+/47O4Igxlt+mwS2dIp8IdiwGUwxXTgEvlOyMzY5EMGuX7j4yissP30aO8Mk7C9Dgn093wF5i/L21B4NcS0uyUh1JLQQ82kEX7lBYBFzXMqUmVYVELYqagXbAacDlwFtCiLzKg6SUb0opu0spu+fn5yfo0JnJD8wgGEdI4b5asKl5pY/FbCbv3AG8j5PXcTCfbP4gm0Y1a037MIbTLaYfuB0T93C88QOc0ACaZsdmlBBwW5TatsFYP3cRx3MSgJF2OxWR6AulEWj6KGh2OHVyY84a29yQqNsCftqKWjxLF+O27PHC97vhi53w4x4orsIVzo2tYGgbsGv6CRsgxwx1rDCtl/5/NcHIr2UrUDExuWn5topsAf6UUvqA9UKIVegCPychVlZDCinCE0dIocVko7CBHzaW6htsNsjJxfrI41xUQ90r4TiXlpxEQ35nO2VRTo4OzFxAa3rEMqsXAj47B3p+HjlL9ABOMzx9UvSTQL12EIxRYHJiuxpJCPXsxBQsbtGgYeRkm6xjof0kWHWZ4IH7uuP0mvny+nX4zUEClkMPJqTEKaGLls8U0RunETmaWwgj1sHXBbr4SvSiPt4gXN4I7m0F7eM4SY84Vhf1cVtgrxe65MEFjeNfZ0kTRqydA7QTQrQSQliBwcDkSmO+RJ+dI4Soh+6CMRbnVEPJwhlXmGTAZibrmdegb384rivcOQwWLIUmlb1cNR8NwSTO42QaRpypZ2GhPy14nzNjP0iXejBtINSyhne/mITuN3+sB9xhYBbZqDPUNlieWDPDcZeDOQ0ZvyfWj02wTAIuiR7XnXcm9NgJ7T8RvGQ7nl8WnMUN5lY4MWFHw4EJC4J+ohFfa6fzmziTWkbWPV7aAL3/hIk79TjxQj8U+fX/3UEYsxW6/QHj44waauaEYUfBU51gUNNqJ+ZgsJaLEKI/8CJ6V7B3pZRPCSGeAOZKKScLIQTwPNAXPb/jKSnlp5H2WdOLc/3Bn5zNRZQekuMZnTxqUcAazDWvKkPc+AkyjtU8y3xWsR9r+TzEQ4Djyec+ujKQ1lVbJylww5vL4MVFUBbQxUsCvoBemOvu4+DYGPrCLfkcPvunHrYYCYsTbp8H9dvHb3tVeGIePLMoeiSHBvRsCL+cH/eh/ATZixc/kjpYscdSi+idLXD7cnAZSPJxaPDF8XBOzXTrHnHFuTIBiaQtXVnHBsPPsWHjXv7FkzyUPMOqOWvYz2ZK0BC0JIcW5Cb2AIEgrNgH+z3gtEC7WpATpw/1u0fg11HhRd3igMEfQ6cL47e3qrj8cOKXsLoQPGHEUqBXmZx3IbRJ8PtthCI/NPxJn4UbJd8C2/voJ+YaRiRBr37XFNUEgeAR7iULp+HnmDBxC9cl0arqT1vyOJ2m9KZJ4sUc9PLCnerCqY2ha378Yg5wzpMw+ENo0Emfidtr6TezHdqeATfNSK+Yg74u8NsAOLmB/ndlAcyxQLMsmDUwPWIO8OHW2JWqLAhTkxdJl6moGXoSkUiu5TbGMwlXFNeLAwfjeJfzCBnxqaju7FgGe9fqPvOGx0JeBhZAX7gHXlgCs3fpseltc+HOTnBW0/RWl2z3C6yJzXUJQJ868OMJibcnzRxR5XMzCYHgXV4ln3q8wptoCNyVKkHmkI0Jjc94j7PJ7MbNiirQ8Bj9lskcVxfGnJZuKw5na5wlGtbFcRKo5iiXS5LR0BjJE2xiCQ9xDy1pTi451KE2J9CVt3mZnaxWYq5QhCNeJ0L1ydhPGGqGHg/b3fDhelhdrLcoO6eRfotwWVqffB5iGA+loQSBQlGtqWuBrXHUJW9cKRTU54OvvofFK8BdBo3qw8XnQrOaExKsBD0WXH647k/4sjz9+UBUwDvrdGH/4CQ4u5GxfRUWwLS3YN7XUFYKtfLh9GvgpEvAqlqcZTq7cfE283mdueyiFBMaranNvZzCJXTErn5aiWNIM/jvOn2h0yjZJritvC6M3w9PvQQvvqV3MSour3pqs8H9T0Ovk+CFx/WaMNUctSgahbU74PVpsHRjkIZ/bOf6hSvpuW1X6IhnhwkmnAr9G4ffYSAAY+6CH97SM9S8FYp32bP1bUNeh39ckeiXokgQLzGL+/kRgV6utyLZWDEhmMzl9MJgclEGI5FsZwYreZ1i1qFhoR496MhQatEuNUbs8ECrn2MX9II+IPzQ9wqYvSB871EhIMsBU8fCqScmxuYkouLQ4+TxCfDMJL1aqs8PIhjEGQhw8p7dfPXrL9hDtb+qZYGdF4YuryolPD8IFkwBT4QFG6sDrnsZzrwhcS9GkRBG8BtP8AsuItdBcWJhKv9XrUW9gDn8yCV42IufUg44szUsCEzU52T6MB47MSRcxcv9f8Grm6DUgGPcqcGo9nBTc/i/2+CLKbqLJRo52bDkJ2iRgRFIFVBx6HHw6R/w7GQo8+liDiA1jVKLhd/r5TOke5hwqICEzzeHfuznD2HB1MhiDvqs/d3bYecRXT0h41jCTh7n56hiDuDCx0A+iasEcCawkz+YwmmUsgk/JVRcmQziI0AZO/mdSXTDw97kG/Tfo2BwQ8iKkl3q1GB4a13MN22Bid8YE3PQG06PeqPqtqYRJeghkBIeHQeuMLW13GYz45o3p8AWov5GiR8+C9PhZOLT4Ck1ZkQwAFMOb2qhSB+jmIk3htAJP5KJrEiiRcnBj5vvORd/lNyJIF5cbGcGVyXfKCHgrU7w5jHQIUsXbpumK5hd09P9e+TC+OPh0bb6c0a/B8EYPBA+H7z7CbiN9zDINJSgh2BPMWzcHXmMNRhkRn6Y7ipFIWZwGxbDnhi6xfu98OPbUTvEKFKDCx+fsSymHqcleHmOmUm0Kjms4zOCBq8sgnjZzo+UEsN3O16EgCsaw/J/wM8nwrNHwZPtYOTRMO8UmH0K9K9Qv+XzKRCmdWNYNJPub6+mqKX4EASC+ncn6rhQgwR61bbK7FoPphibKfjKoKwEHDmxPU+RcLZRjCmO+c/aVLgjEswSnit3sxhDAit4g+48mTyjKtO9ln6LRInx1/A3AigsjsukTEAJegjq14I62bB9X/gxPk3j5D0hpvFOMwxpe/h2TYNYqwFK9BlDGJazn8/YSCE+epLPBTSLq7GyIjoBgnHVcoxlRp8pFLM+pvFBPOxlYXKMqQrOyLXbw5KdlVg7Uoj69YdACLh/ADjDlKi2BgL03rWTFq5KPkZNQDMH9Kx3+JOadNDdKLGQVUuPeKlEEMnV/EF3pvI0S3mJlVzPTJozkb+I0MFcETcNyI7Jf37weeXiEAzCyJHQsCFYLNCpE3z9dYKtTBQxhAeWIzMxLfOc08Ec45zV64PuMXROyjCUoIdh6DlwQXfIqiTqWX4frUpL+XhWJd+oWUBdK0w9LbS/plFbaN7JuAEWO/S7PeS+nmEpE9iIm8DfHe6L8bOTMk5nGr44fpCKyORhpzctY3qOEwu30kO/c+ut8NhjsHOnnuiybBkMGgQTJiTc1qriwGByXDkCM7XIwKScO28ESwyCbjbDZQMht/q6OJWgh0HT4KOhMOkeOK8rtG0IJ7WD104oZOGaX6lrCegx57kWsJvgihawsC+0jND+6pJHwWawnK5mgrOGHLbZT5DnWIErxIxIAiX4mJyKBaojkPs4hawYulAFkVzLcbBtG4wZA5Wv6NxuuPvujFv4PoZ/YY6h7LOGhfbclESL4uTotnoWqM1gCWSrBe67Nbk2JRlDpy8hRF/gJfSORW9LKZ+p9Pg1wEgO9hp9VUr5dgLtTAtCwBnH6reD1IN7+8Pi/bDJpYdMnVAXbGaYXwIr90Mru36rTPfzoO9Q+PbVKIlFThg2Hmo3POyh7bjxRLi8LcbPLAq4mOZGX2ZaWReAuT7wAU01ONWSuT0J+tCKfrTjG1YdliFaGScWnudsauOAOd+D1QplIeKhd+yAwkLIy0uO0XHQjmuYy8OGxgo06nAseaSp41I0xr8FJ58HazfocebhcNhh7P+gw1EpMy0ZRBV0IYQJGA2chd4Meo4QYrKUcnmloZ9JKYcmwcbMQwjoUlu/lQbgsU3wxg59zVMAXgnHOuHZVtC70kr8VSOgXnP45GE91rys+OA+rU7Iawi3vQsde4U8dBbmv90soTAjyK0GzaR/8cKDpTDPDxZAChASHALudsDdTrBkmLALBB9zEVcykSmsxoXvsE/CjMCCiafpw82UJ/PVrx9+Fq5p4DQ+G04FNmrTmzH8zD8JECkmW8NCLqcTsdtkesnJhj+nwL8ehE8m6etcB0oAaBrYbdCyGbz2DPQ6OeKufIvAvwzwg9YErL1BZFhYSdTUfyHEycBjUspzyu8/ACCl/G+FMdcA3WMR9OqQ+h+VkgCcsghWucET4n10aPBuWxgcIl7d74PZX8LCb8FdpAv5qVfAUSdFjZk8mW+ZRehAeQcmFnIuRyWjm0+CGOOGW0oIKxUO4AQLfFcLbBkm6qDXN5nBBkbyBz+yHismJBIJXEVn7uQk2lNhYVxKaNUKNm06VNhtNhg8GN5/P9UvwRAbmMjP/BOgPPX/IBZysFGHvvyQsJoufrYSoAAL7dBIQqTJ/kL4YLweZ+4ug2aN4apLoFv4RVApoexTKP0PBDaAMKH7NgVgBeftkDUMRAoDY6pUy0UIcQnQV0p5Q/n9q4ATK4p3uaD/FygAVgF3SSkPy38XQgwBhgA0b96828aNG+N6QRnDDavho12hxfwADg1Wd4MmievqPo899OZ7Siu5XpyYuIJWvMVJCTtWopnlgz77w4v5ARzAZTZ4L3PPSwAU42EXpZjRaEB2+CqLK1ZAnz5QWqovimoadOkC334LOZm7COejlLVlr7FcvIbLvBtN2KitdeFY7qEJZyESsAznZws7GYyXeYAV8JHLHdThqYTsP16khKIbdUEnXIK3HUytoM6voKWgpA2kpmPRV8AnUkqPEOImYAwc3rFBSvkm8CboM/QEHTs9FPlhbEFkMQc99fi17fCflgk7dDfq8jNncwdzmc0ezAiyMHMfHRlGx5DP8VDKIsZRwCpq05zjGIyT2gmzySiPlUYXc9DHfOqBEUGon8FL9znYyMHAybpDB9i8Gb77DrZsgeOPhx49jGWwJYECP7xXBPPKdA+hMwDFW6FgD3SuDXccAx2LZmL56d+03/gr7c023S8WKIamfuhjh1ZV/2AkXrZyCgG2oXek0NcZingZgZk6qUxWqkTpo1HEHKAMAmth39lQZw6INH9XE+JyqTTeBOyVUkZM46r2Lpcv98DVq6DIQPxtazusDXlCrTKFeHHhpz72sJmMa5jBuwxAEsRLKRacgORyPqALlyTFrlBsD0DrvRBiaTAkduBhJzxUffM8Mo59AbhpJ3xVqnsN3Ad+/hI9/LwMtLVgL/EzdtcVDCweH3pHFiec/SycdFuV7ClhPAVchwyRmSrIogW70Uh9f4BgIRQ0xPiXNRvyxoGtXzKt0qlqtcU5QDshRCshhBUYDEyudICKgasDoBpWJIqVkoDxwj+lASSSXyngAn6jOV/Rlm8YziI2RymAFI1aWGmEM6yYl1DAO5yHh2K85VMNHy58uPmEq9nFX1U6fiwsDcTmEy8DZkYvbKgwSIEfjt8Ik0qgTFYQc9DV3QRkQfAYcNUyc1XdtykTYa4+fC74/j5Y80OVbPIwN6SYHzDKT3rcsu4xxBbUXQKlI5JljXGimiyl9ANDge/QhXqclHKZEOIJIcSA8mG3CyGWCSEWAbcD1yTL4IyhidXw5bJsbOEG5tCPX5jMNjbjZi2lvMRq2jOVb9iWNDP/5G2CYRKNAnj5hReTduzK+ONwsik9TwxSQr+tsM0PUfOVTUB7kDbBNMeZ4cf5XDDNWHhjOMw0QRA6RV/iw1RxcTmFeD6FWOdavl9Bpjmnz9A5SEo5RUp5lJSyjZTyqfJtj0opJ5f//YCU8hgpZRcp5elSypXJNDoj6FVLj0GPRrbGqNeDfMpmSitV9vAQxEWAQcxkbQzFkGJhI7Pwh/FaB/GzidlJOW4oWprAF4Oom4GjY6xnpgjNH2Ww0hvDCVKAp6mV0mjhGzuXwO5VcduVTbjOXBYcnIEpFc0zQhCMp4KGBtJgdexkkcHLTRmOScBjzfW6zOEQEMjVeKbHlpCZnQfwEeSFJLk+cmkcMVIghzAlgJNABzO0ikGgLcDNcdZXUhzKc3vBFcsVkga+Bla6+aKsc5kssGtZ3HaZqEcDxiNwInCiR/vnYKEN9RkT936rihZPdFUwteGLoVCCXhVuaQi3NtJFvbL3xalBfQuLZrbAIyJfh/mQjE9Suv6J3IA5zKKSlWx6UrVFrVh5yImhCGMz0MUMHTMscaO6Mt1NzHUfrUEv2/Mi9Mc9QBX9DE7OpTlbqMsoavM4DRhHU5alzd0CYLsQwniCwmLukf4oFyXoVUEIGNkKpnWCC+pAlgZWAS1t8HQL+Ksb7uYWNAOFVz1JKqjVjG6cyA1YK8molSyO5mza0z8pxw3HYBsMshGxUogZqCvg8wyPQa9OuOP4ejmkm2JzlBj5oB/qVj1d3kRtcrmJ2jyCk75pjT8HcFxPTEUnRQ5k3Z80cwyj5j+J4ORcmBg6/rst2ZQZKC16FBGKelWRC3iRNvRmOiPZw1pq0Zhe3EU3rkJL8Q9HCHgnR/enP+vSL2wOrB5Y0WcYJ1lgbA40Uv7zhOHQwBujqEsEub6iyIPyWkHDYyOPqYZodcFxE7jfJvriqBm0xmA7LxWWRTVFkUwaYKcP9fmOHWFP+FmYuCeJxY0Egs5cRGcuStoxYkEIeDQL7nXCZx74zauHKLYxwdV2aK2EPOGc44QJJbFVOg8KjW5754UfYHHCGY9X2bZMJWcUBDeD5zvCi7oVtEZQe3pm1HVRLpcU8CpdyQ3TS8iBiROpy8U0Sbld6cYh4Bo7vJ0LH+XC41lKzJPFsNr6+20Ui/Rz7foPcQTCZNZYnHDynXDMxQmxLxMRJqg1AbKf1YtxiWx0v7pNd7GIbH0WX3cBmGIrIZ80MuCcUvNpTTZzOJPrmcNs9mIrL+bkR3IdrXieLnH1q1QojNLDDsfZYE6ZgTh0wKaZubtNW1h/DOxbX16VCn0BNLcJnPEkHDsoqTZnAkKDrNvAeSv4fgb/csCnC7ztXBAZFoUVNfU/WVT71P842UApyyjEisYp1CNLnVMVKWJfAE7aBBv9kUsQZQn4ugmcdmDlevsiKCivll3vaGjcNem2KsKTiuJcCoO0JIuWySgNqlBEobYJ5raAu3bB2GLd31paLuxm9PrzXWzwv/pwfMVI10Zd9Jsi41GCrlAcQeRo8HZDGJUPHxfBIi+UBaGFBf4vF44y2K1NkZkoQVcojkByTXBL6qsnK5KMEvQkIiX86oYFHsjT4IJsqKWiOBQKRZJQgp4ktvjg7C2w2a83ELAKuGUXvJAPN+Ul8EBLF8HaVeDzQb360LM3WDK/p6hCoUg8StCTgJRwxhZY6+PvHFFv+eLT3QXQzgp9qtIX2O+H8R/DyyNgyyYwmfSDCqHfrr0FbrkL8lNXeEuhUKQfFfycBH5y63WnQyX8uyQ8sacKO3e54OKz4b7bYNUKcJVCcRGUFOv/FxXCa6PglI6wfEkVDqRQKKobStCTwJwyvSNMOOYbbWtVmWAQrroA5s7UhTwcXi/s3QPn99Zn8AqF4oigWgn6ZnbzGb8xhul8y3y8GdrPppamx/SGIyved/37b2DOTCgzeEYoKoR/3xvnwRRGCRDAl6HfRcWRhSFpEUL0FUL8JYRYI4QIWyRSCHGxEEIKIRLaEXkeazmTxziK27iR17iNt7iM56nPtdzPh7jwJPJwVebi7PC1p20Cro+3LOzLI6A0hs5GwSBMnazP1hUJpYwy3mcsHTgBC/nYaEB92vEkz1LA7nSblzCkhFI/FHr1vxWZTVRBF0KYgNFAP6AjcLkQ4rBasUKIHOAO4M9EGjiFefTiYX5kMWX4KMZNKWUU4aYQFy/xNScynKIqNltOJPXN8FgdcFaapVuBxiYYVieOnW7fBgsjVL4Lh6bBxE/jOKAiHHvYS3dOZyj3spLVyPJ/BezmaV7gaLozn0XpNrNKFPvg5ZXQ/Eu9m33+51BrHNwzHzaluc2aIjxGZugnAGuklOuklF7gU2BgiHFPAiPQK6EmhDVsZxDPRZyBl+FjNdu5lJGJOmxCGF4XxjaC4236rLyuBv/Kg3kt9BTsmNm6GWxhOrBHwu2CDeviOKAiFEGCnM1FrGItpSEmEWWUsY9CzmAg29mRBgurzoYS6Pg1PLAQtrj05t6+IBT74ZW/4JivYdr2dFupCIURQW8CbK5wf0v5tr8RQnQFmkkpv4m0IyHEECHEXCHE3IKCgqgHfo5JePBHHefBx6+sYGWS2rjFy8BsmN8CytrB7rbwXP04xRyq1uYrGL3BRqIIBmF3KWwvgrIa6Fb+iV9YxZqoPnM3ZbzMGymyKnGU+qHXD7DNDa4QXxtvEEr8MPBnWLo/5eYpolDlRVEhhAaMAoZFGyulfFNK2V1K2T0/Pz/iWDcePuRn/Aa6/QD4CPAyEc8n1ZvGTcETx1qB3Q4tWiXenkpsLYSHp0Ldx6Dpf6DNM5D7CJz/Lvyyrub4X59nNCVE9zl48PA67xFMUmvBZPHRetjrhWCUz8sdgH8vTo1NCuMYEfStQLMK95uWbztADtAJmCGE2ACcBEyu6sLoJnYb6sV5AD8BZrOmKofMbJo0g/bHxP48CVw4OOHmVOTTBdBuBDz3C+x3g8cPbh/4AvDNCuj/Dlz4fs2YsS9jheGxbtzspzCJ1iSekcv1WXo0JDBlK+xOmINVkQiMCPocoJ0QopUQwgoMBiYfeFBKWSilrCelbCmlbAnMAgZIKatU7DyIRMQg6ACBajYbipk7hkNWDKV3hYDTz4L6Dap23C0LYM6HsOAzKDnUVfbFErhuvC7gnhBCIIFSL3y/Gi76QHfJVGdi6cEqkSnv2VoVAkFYF0MQlc0Ey6vX+arGEzX1X0rpF0IMBb4DTMC7UsplQogngLlSysmR9xAfjamN14D//AACQfua3sbt3Ath9POwZIGePBSNrGx4/Ln4j7dxNoy9BvZv0k8OCAj4oNNAuOwtXFoOV32qi3k03D7d9TJhCQyqxqW1T6Abm9lqyJVSmzxqEW+MauqJxytWzc/PNQ5D0wcp5RQp5VFSyjZSyqfKtz0aSsyllKdVdXYOUIss+tPV8CzdiZXbObeqh81szGYY/y106ASOCL2vTCbIyYUJ30Pbo+I71sbZ8L/TYdcK8JaCpwQ8xeAvg6VfwiunMmGeO6ZrqFIvPDs9PnMyhXsYigN71HEO7NzNbTFfZaYTswb1o7+0v/EEoW1O8uxRxE5GXw8O50IcRK+4b0KjBfmcRJziVZ2olQdTfof7n4AGjSA7Rxd3m/3g35dfA78sgh4nxX+cT64Fb5jYfr8HCtaw9ft3KDHSoLICy3fBumqc59SDrvSmJ/YIoq6hUYfaDOGa1BmWIG4/GhwGI7FOrAtNq1JkTpFwMr6n6PNM4lE+wRWmta0JjdpkMYeRtOQIqy4YDMLvP+vlc71e3Vd+Rj/IqeK0aesiePmU8IJezibRghamDTHtupYdvrgaTm9bBfvSjBs3F3Ilv/EnLlzICs6KHLKpQ21+5mta0DyNVsbH7jJoNxn2R3GjOU0w5XToHWl5RkpYORN+/Qz2bQd7FrQ/BXpfof+tiItq3VN0GANpRG2G8T6llFFcnrdkxYyGoCcdeJ+hNKVeWu0sZRnbeAs3azGTSz6XUpfz0JL5Fmsa/ON0/ZZIdiw72OU9Ak3lpoNle2MgxuEZhwMHU5nAr/zBSF5hFnMJEKANrRjGbVzE+VgNXFlmIvXs8P0ZcOY0KA1AIMR8z2GCF7pFEfPZX8Hbd8L+neBxHYxb/X28vv2Ma+G658Aag49HEZWMn6EfIEiQH1jEdJZSQhnNqcdl9KRFmmflfgpZysUU8QdBfFC+kGsiBw0bnZhELU5Jq40xs+hz3eXiKY44zIcFqzk2n4vdDCvuhZbxlD9QpIz1JfDUUhi7ASwaCMATgF4N4NFO0DPSz+6b0fDeveB1hx9jdUDT9vDMr2q2HiORZujVRtAzkSAe5nEiLlYiw5Qn0HDS2vUrG7Z1pUUdaFYdhKx0DzzWVF8AjcDWOj1pXzSVEoy7eE5sDrP+VVUDazZefGxkBxqCFjTEnMYL6RIfrCoGfxBaZhtYNF3wAzw1MLKYH8Bih8594N81OCEwCVRrl0vGIiV7//yMFi+eR9aSmxF+M96Ge9k25FsKLvkNadOdkEFcTCm4mfv+NxtvAF4ZBNf3TLPt0ciqC8ddCgvHhxd1i5N6RUvQZBCjgRxZVrg/wd6hmkQxpTzBe7zBl38X/LJj5XYGMZwrsaXBjZNtga6xTEI+eMCYmAP4ymDJdNi8App1iMs+xaFkdJRLxrKwCI7+ldpn1qLe+JPJWt4S56qm5P3SmaNuGUrP/E9p/L+DIZTNGy0lt9ZK3D647TMorg7ZdZe8Bg2PAUvlMAahbzttGDY8fBocjENGr3TpsEC/o2FgHMmuNREpSwkG5yLlPgCKKOUEbuAVJlCMi5LyqqJ7KOIZPqQP/8rY+v9/s2k5bF4e23P8Ppj8UnLsOQJRgh4rs/bDqX8iV7swldrQgocuHpqLnZiLnbS59wZaPvRPAIJBE+1bzAHApMHe6lB+1JYFd/wOF4yCem31RVKzDTr0g5u/g76PgbMu/eR3jAsOIkuW4ODwmZlJgNMCF3eCsf+X/AVR12oo/B2CmVUi/xCk3I7f15aA/wz8vpbI4GKG8Qrr2YYnRDSXGw8LWMWzfJQGa2Ng3tTYC8EF/fDnpOTYcwSiXC6xsMcLfedCaSCql8HkstPsxQsp6baGTf0Xo4kgJg3ys6FJXiqMTQBmG5xyk34LxW0/wbsXcd6eaWxseCHvdJzAC3Mc7CoBTei3SzvD3b2ga9PkmhpwwZIBUPQHCIu+rdMXULtPco8bD8HgB8AewAcIPIH/8rG2A0+EGbgbDy/yGfdzVVp86hLJb8zhZcawmvXUow5DuJwLOOtgRE/pfvDHmJgAUBZDvQFFRJSgx8I7W/T6oQYxuey0euSfbD//bkpLjuW0dvDeVWCOt4RuplH/aLh/GQB1gfuA+/rpNV28fsi2pS5EceN/9Jm5LIMDFwpLL4BTdoEpwyLjBHUBC7qgW9glzFgx447SeasML5vYSesUl7jw4+dSbuMHfseF+++4+z9ZxMM8z698RgPywZENmlmfdceCJcM+oGqMcrkYJShh1AZwx1a9wr6hAY0W9+TX27oy7Y5qEuVSRWxmyLGnNt5817hyMa+IgOKE9s9KDEK7BiEuAHIR4h9sNt1o7HkIgnFVXAmBxw/TNsL4VfDDRigLL8LDGcH3/EpppSSqEkpZzxb6cZ2+vf0pYI2xCYsQ0PHUeF+FohJqhm6U9W4ojr1RhPCaaf3DvdAtCTalgkIPfPAXfPgX7POA3QSnNIQ7u0CHzDk7WfOhbO2h26QfLOnNNwuJEGbMlo//vt+RoojulgNoaDSnipUzS33w2Ex4Y/GhZ9yghBs6wROnQM7BaJpSXLzOWFxhGpH58bOKdcxhMSd0PBVy86EshkUimxMuvCfeV6OohJqhG6XQB+bYp5ya34xzX/VLAScoYfgf0PA9uH8mzNkFawph6V54dwV0GwenTIBtmbHC2+JR0CoE5AgbZB8PWdUgqqY2uVxAr4i+cRtWbuYCrFjiP1CRB04YC68u1JuGFnkP3kp88Npi6D4W9h8U79+Yi5nIPkIXZUziB/0EMfhRXaSNYDJD/VbQoZol3mUwStCNkmWK3sYlFBqQW80uhKSEy7+DV5dAWQBclS7H/VJvWTOnAI7/DLakf1Grbj84Zhzk9ABbC2hyG3T+Nt1WGecl7qQBtUOKug0LrWnMI1xbtYP831RYW6h/pqHwBGBDEVx2MNFHj7qJPJGRSFwHFi7OuEav1RJN1E1myK4Dj39b/WtBZBDVTGnSSGunHoMXK04T9MxLuDlJ5bkF8PXGw4W8Mv4g7CmDsyfDssvT/sOse65+y2jce2Dxu7D4Hf1vkxUanUj9E+5hfpN3uVO8zBf8jA0LEvDh5yrO4Tn+RTZVKG24sQimbdJFOxLeAPyyFdbuhzZ5HMvReMMUxjtANll051j9jhBw25tQrylMGAFCA0+FqzjNDGYLtOoC938OdRvH/5oUh6FS/2Phgb/ghY16IWijNLfDht5pFzvD+IO6m2VPDNlP2Rb4+lzoXcMbjFQFKWHm0/DHf/Tvgr9izH55slatVnDpVPbl5rKM9WhodKZNXEKu/64L0UN+8hBPLISnZxuL0rJocE83eFpfrOzFZfzOvLBNPXLJZhdzsFFpQdRVDDM+gp/eh6I9eiGu9ifDgDuheTXwhWUokVL/DblchBB9hRB/CSHWCCHuD/H4zUKIJUKIhUKI34QQHatqdEZyWwuiuBMPxWmCB1tXHzEH+GaDPkuLhVIfPLsgKebUGGYMh1n/hUBZJTEHkOArhT0rYEw3aheXcCpdOIVjYxZzKYvwB1/FK1vilfXxyjZ4ZS6BvyYYD7n1BVm7ai0zWIdEMobnqE0uphBffid2PuOVw8UcwJkD/W+B5/6EN9fAq0th6FtKzJNIVEEXQpiA0UA/oCNweQjBHiulPFZKeRzwLDAq0YZmBE3tMLYLOAycB50aDMiHIc2ij80kvt+sL5jFggR+2ZYUc2oEm2bAgtG6aEdCBqBsL0yOr6l3UC7BK9sQ4H5gE3qcuxvwg2NLTPuabd/B+XxIU0YwiU3MYTJXcQF2bDixY8XCmfRkBp/Ql95x2atIPEZm6CcAa6SU66SUXuBTYGDFAVLKogp3s4ivPWH1YGADmHg81DJDdojpul0DmwY3NoOPu1Sv2TnA3jhz5iPEMR/xzPwv+KLXuwH0pJwdc2Dv6pgOIeV6fLIXsBs4/MQRPGMVMseYG604O8jUsz2U4GUbxTzED1zNFEbzFPtYyF/8yG7m8QMf0oNq3CC2BmJE0JsAmyvc31K+7RCEELcJIdaiz9BvD7UjIcQQIcRcIcTcgoKCUEOqB33zYWcfePMY6JoLeeXi3twO97fWfeYvdtBz36sbdWNMDDmAXa2vh6R0J2z+ObbnBAMwf3RMT/HLO4GisI8HL1oCwtg8SwLjBh08sbvwMYetXMRYbFhpSiNyyI7JvrhxbYKFd8KkOvC5Fb5uAiueBu/+1By/mpGwX6GUcjQwWghxBfAwcHWIMW8Cb4K+KJqoY6cFmwaXN9ZvNYlzmuuJRJXcLn6TYHKfVrxzSQd21nNSq8jDVZNXcdmU1Ti8AThdLYiGZN8aMNshEMOVT9AHuxYaHi7lToJ8D2EWLQGwBvCP+hLz7RcjXOHL8JY6Jfc8V4qnUjZ+GX5+YyO/s5FTaWnYtiqxdy78cgYE3CDLv49l22DFk7DuNejzJzhq2O+vihgR9K1ARUdw0/Jt4fgUeK0qRinSSP8WYDMdIuizj63PuW+eh8dqojj7oBjM7tKA2x/+B2Mf+pHz7lWX3iGRsWcXAzHVQwnyBUYutoPXzsFfasM8/HwICoT34M+/zCqRGjzyRClv3RT65OPCy0h+TY2gBzzwW1/wh7jqCJZB2Q6YeRH0mZV8W6oRRlwuc4B2QohWQggrMBiYXHGAEKJdhbvnArE5ABVJo5BCXmE0Z9OPXpzOEG5mAQvDP8GkwcPdIUv/sS9sX48+Ywayu47jEDEHKMmyUpxtZdCzZ/Hd8Y2S+CqqMdlNIBBrBUKhhzAaRLILQpQuDkVw6G94lz+D7/aZ7GrspygnyLZGAV79l5uOy/fxwrDwfnYJTGUVHlKwXrJ1YuQayNIPhYuhcFnybalGRJ2hSyn9QoihwHfoQXvvSimXCSGeAOZKKScDQ4UQZ6Ivq+8jhLtFkXre5l3u5h40BKXoi3Kzmc2njKMbXZnIeGpT+/An3t4Z5u2Cieu4/qnTKXVETjd328z8cydsz6qeywZJpXYbyGsLu5cYf47FCcffHMNB7Og/TYNC22IfnhFT6flsY9aIWjEcB8xo7MVFI3Jjel7MbP8K/FEykKWEgp+gVuxhkMvXwq/zoVY2nNcbsquQs5VJGPKhSymnAFMqbXu0wt93JNguRRV5jzEM4x7clWZuAYK4cTOTmfSmD7OZiZ1KDlMhYMyZLDt+KSva1jGk0u4gfOeCfkdIv99AAKYthFXbwB+AxnXgvBMgK1Ql2JOGw3c3RQ9bPEBWA2hivL6JRg8C2AHjJRgkJrYRm5gDBJFYU5FgbsjlFIzZpeX1waXD4IeZ+tfcpOkVPT5+BgbG0R4xyFqCzAGcmDgTUZVs3gSgQhNqIC5c3MWwg/U1QhAgyCpW8jqjuZNhhw8Qgh+vOZZggbG162IJ35TUfEH3+GDUF/DCJCjz6nXfpQSbBQJBuOp0eOz/oGHFC58Ol+mp/ltn6olFkTA74fyxMYW7Ck4D8jAu6Da2cTkmYYMoNdgrY8VMXuUJQDLIPw12TIFAhJOgsEDtHjHt9qGXdTF3V3rZlw+H5V9AS4Nr+5J9lHEZQX5Fr20vgAAW+RSzF93B6k3QsjH07gpaCitmqeJcNZBxTDA0LgD8hyfDPu6WEL0300FKYisVX+0occOp98GTn0JBIRS7dYH3+vW/XR545wc49jb4q2Iej2aGS76GZr3AEibcz+wAaw5c+g00PjEmu4QQmHgcDM8OLbQRD2ON8edvxcRN9MCUCtlocSVR01nsDaGu8SuZQABeH3+4mB947A1jPxskkjLOJMjPQBlQjB4yWkqR50Hen/Ie/xoJA+6GVgNg5QbDJlYZJeg1kB/5kdIQySWhKMLDOkL7dxubwW5Qz61Aq9Q3pU8ZUsJ5j8OSDeCOsMbpD8CeYuh9P+ypGKBhccKgb+GiL6HVOaBZdBE3WcHZAHo+Bjevh+an/f2UYPk/I5jEtWhcR3RRd2IRk7CIFtzOyThiuEg3IbiNkwyPjxcva9lpeYLN/Y5iezcTZXmVR2hgzoGTJxq6kpES/B4ocYEnzGfn9cGqjcbsC/IzQf6CEEXLHHYXD9z4IK6yICUu2LwTeg8Jf9xEowS9BhJrd/gFTAu5/YJsfRZvBE3A1UleJ0snvyyFuWv0GXk0pITCUnj160oPCAEtz9CF/a4iuGktDN0JQ7fDSfeBoy672c1InqUlzXFix4mdJjTicR5jG+HLKwghMIuXMTESyAdyKjxqAhwIumMRP6MJvdHqffTiaPKxhi1QZAJsgBUHFp7ibFqGWkRPIHsZxXqOZR8vU2pfSGFLycbTNbZ315AmJ2g2aHoJnDEP8jpH3JeUMOdleKkxPOuENxrBeTvBEuIcabdBtw7GbPTzDRA+8zcnq5jWTdf+bYOrDL6YbmzfVUUJeg2kC50NN0IwIcPO0XI0uDYXHFEmQVbgNAe0rELvhUxn5Oe6S8UoZT54ebI+Yw+J2Q7ZjcCe9/cscwLjaUtrnuI/bGc7svzfbnYziufpwNG8HiHFQwiBWbsVq9iOWXyCxn1o3IqJf2MR87Bqc9DEwSJ9dizM4Aa60phsKl5emdBPCo2AekA+ksZ4cR7Sgi7RlDKDAh5B4oYDkxIRRJqCFLWws6//cBiwB076DHLaRdwXwLRhMP0BKN0BMqivSXcrgBs2HJ40azHDDRcZtVQSyR0kAVHhACUuWLo27PCEogS9BnItVyMM+L41JG3QaE744pij8qGrLbyo24AWFhhbg8PQ/QH4br4+24oFXwD+/MvY2Il8zg1cj7v8X2XKyv89wP28wesR9yWECZM4F4s2Aos2GrP2CJoIPf2shZ3fGcI4BnMarTBjARqif7ICXSI0ygjyBPO4nd+MvaA42MNTyDAzXylc7LG9gTQbWyco3g7z/heihI4PGvugo0cPWcx2QtMG8ONbUL+uMTvN9IcIpQ9K3dms3dz27/tOOzSpb2zfVUUJeg2kEY24gssxR/l4NaAjWXTmzLBjbBr81AyG14baGuRqkCv0/7MF3JwHc5tD7VjKClczilxgiuP1CQG7w5dX+Ztiirme60IKeWVcuLiPeyO6X2JFQ6MfRzOdG7iAk9HQCNWlyIWfd1jJSvYl7NgVKSNyf4QAuwmy39C+NvyoL1OEQnj11qkTRsFPb8Om76FHJ+N2apyOoA1w+KJRqdvJE689iZQVfnsSBp9tfP9VQQl6DWU0r3Aap4b0jmpIzEj+geBu3gxZ57oiVgH/rge72sDkxvBuQ5jQSL//Yn3IrcFiDuUhiXFk8AvAbsAN9QljidbmrSLS5+etwhdiNygKpfj4mk0Rl2F9BHmN5GRnilA11Q8haGCMjmaK8I4KcDjhzJN0IY+1IKpA4OAnNE5GT+rKBnIJBByMfPdxxk29EQC7FZw2+OwZqJ2i9SUVh15DsWBhCt/yLq/wbx6kgABBJDagLRqtMXM3b3MSFxrep1lA7xqSURcLThvUqwU7YpyYenxwTIvo417lFVwGo5IAPBY/b3pH8++zzPD2ndCiQWyGhWEnbkxRTix+JCsMzpJjJZfB7ON/EGZR38EpaAZDM1udHT43yeKEjpfFaWQ5gjo4mEGQvwgwG0EWJtPZ3HdFNvWzYclaOLolXD8AGtar2rFiQQl6DUYguJ7buZahLOA7ljCdIAFa0o42SHLIS7eJ1QIh4K6B8NjYyCGLlenZEZoa+DFvldtimaADsKeOj+CMhWjH3wazXoSjmsa2gxDkYcUXJUxSAPWTlFhUh3spZAxBCqm86ChwUp9nDe/LWRdOfRh+f/pQP7rZAc176bdEoHE0Gkf/fT+/NtybxsInyuVyBKCh0Y1+XMOzXMXD2Pg3G7mHpVzERp5Ot3nVguvPju3S3GmDBy6NPk5KcAXiK4Aj/EHYXwqnD9cDqatIHez0IPLqXRZmrsdgfF+MWGhCC/7ARicETjRyEWRjpilNmYyD2BKuej4E570H9Y7Rg4pymkCvx+HSSdWv74xR1Ay9BrKjBD5aDFuKoGsjuLQjHKivVcQfBCkjWB5NsJ23acGDabS2elA3Fz4bDoNGhM40rEiWDW49F844Lvp+Z+yDoLUFZMdQvAtouNOqRzJJCcUu+HImDKr6tHMEJ3I23+AKUejLikZH6nAayatBbqMDrViMh6V4WYeZ+tg50VDUVig6DtJvRwpqhl7D+GgxtHoJHvkJXvoTbpsCzV6Apbv0xx0chSz/sQqsZHNc+oytZpx3Anz+AGQ7IDuE18Fh1RdQh18KI641ts/nN4J/451Iv/EOQI5SjdteqtCioNgNI8YZfn4ketKIzziLXCxkl+cymBA4MNGThnzPuXGLayzY6EQOA3BwUkqOV1MQMtbg2gTRvXt3OXdu5DAlRWys2QudXwN3iMWgJjmw6S49o3MPU9jEszhoQ1tGYY6j6t6RjNsD436D5ybChl0QDELdHLipH9x4DtTPM76vxr/Adr8bS6+mCLOBGEfA4dJY07wn9fZUCJuzmMD7TWwvJAJl+JnIehaxh2wsXEgrOlEnYftXxI8QYp6Usnuox5TLpQbx+lzwh1nTKvLA9PVwRmuoS3/q0j+1xtUgHDa4+gz9VlUCAEEH/kXjMR93AcIUORZd+Oy8dU2bQ8Uc9OwnKRPmHLZj5gracQXRMzIVmYNyudQgVuwGXxhBD0pYvz+l5igM0Mah/y/39cG/8EukPzek+0X6s5ABB70+up1Lxzc8fEfZjpq70qcwjBL0GkSnfLCGSfIRAtqqK+aM4+7mkFP+mcl9ffD9soXAXy8RLO5ULu45BEuPJrB6BObv1/Lck3sP34nZBIN7p9ZwRUZiyOUihOgLvIRetedtKeUzlR6/G7gBvQdWAXCdlNJgMcojnLIS+PNjmPEaFO3QU9watoez7oZOffX7BrmlB7wy+/DtAqjrgF4GklwUqWVgPmSboCRQHnkddBDc/k+C2/95yDiLz8dxq1bTef36w3diMcGdxhPEFDWXqIIuhDABo4GzgC3AHCHEZCnl8grDFgDdpZQuIcQtwLNAFXOxjgB+eRM+u0ufPnsqZAru3wbrZ4MtG4ZOglYnGNpdyzz46CK4srxMtMsHOVbItsL3V6l+n5mIRYMfu0HPOVDoJ2Raj9XrpdHevUz69+OHP+i0wVVnQEd1tlYYm6GfAKyRUq4DEEJ8CgwE/hZ0KWXFar+zgCsTaWSN5NuR8NVj4A1TV9lTot+eOx3u+gHaGuvMclEH2Ho3jFumx6N3qg8DjtYncYrMpEMWLDgR7lkNX+3Wa+cEJWh+PwGvnyt/ms4zb71D7ZIKLeaE0MX80n/A6NvSZ7wiozAi6E2AzRXub4GIKVvXA1NDPSCEGAIMAWjevLlBE2sg6/6MLOYV8brg5XNh5FawGatjUdsBN4UMalJkKi0cML4z7PbCT/ug2A91LGbO2ruT7ClrIejTO1AL9J53Zx4P914CvTurxVDF3yQ0bFEIcSXQHQi5QiOlfBN4E/Q49EQeu1rx7QjwRS+V+jdBP8z5FE69Lnk2KTKCelYYVLHWVv0m8L+h8MIQ2L5XL7LeIA9ya3g3bkVcGIly2QpUSEujafm2QxBCnAk8BAyQUsbWSvxIorgAlkyNrVuCp0Q/CSiOXGxWaNkQ2jVRYq4IixFBnwO0E0K0EkJYgcHA5IoDhBDHA2+gi/muxJtZg9i2DCzGajofwq41ekriEYKUsXcISiQrWcEf/I4rQu9IhSLTiCroUko/MBT4DlgBjJNSLhNCPCGEGFA+bCR6lffxQoiFQojJYXan8JXF/9xA1SvqZToF2+H2C+B4K3RzwP1XQdH+1B1/M5s5gS70pDsX0p9m1Odt3kidAQpFFTDkQ5dSTgGmVNr2aIW/w/cwUxxKVl29Y22smCzxzeyrET4fXHEy7NoKAT/gh+/GwdrlMG5u8tf+JJKB9GMVKwlwsEXRcO6mI504hZ7JNUChqCIqUzTVtOgK5hiFWWjQZUD0cdWcn7+Gor3lYl6OzwsbV8HiP5N//KUsYSMbDhFzADdu/sfLyTdAoagiStBTjWaCM+8ESwxdXywOOOeepJmUKWxZB55QHimhP5Zs9rAbc4iLVolkB9uTb4BCUUWUoKeD024BRy1jPgSLHdqdCi17JN+uNNOxK1hDXLwE/NCha/KP35XueDm8x5wDB/05L/kGKBRVRAl6OsiqA/f+DNn1wBRhGcPigGbHwS0Tj4jkkR6nwdFdwFbh4sXuhN7nQuv2yT9+Lrn8mydxVmhEbMdOQxpxAzcn3wCFooqoBhfppHAHfPU4zPxAd8X4Pbq/3GTRxfysYXDWnWC2Rt1VTcFTBmNGwVcf6ue6S4fAZbeAOYWV+39iGqN5iV3s4nwu4CZupZZqAqLIECI1uFCCngl4SmHx13pRLpMFGh4N7c8ATV1AKRSKQ1EdizIdWxb0UMUpFQpF1VBTQIVCoaghKEFXKBSKGoISdIVCoaghKEFXKBSKGoISdIVCoaghKEFXHPEEkfg4cvutKGoOStAVRyR+JOMopBtrsLAMG8uowwoeZAfbqPllihU1EyXoiiOOUoKcznquYwvzKSMISGAfAUaxh/as5ldK022mQhEzStAVRxyXsom5uCkN4WbxICkmSH82shbVSVFRvTAk6EKIvkKIv4QQa4QQ94d4vJcQYr4Qwi+EuCTxZioUiWEpZcyglLIoPvMygoxgd4qsUigSQ1RBF0KYgNFAP6AjcLkQomOlYZuAa4CxiTZQoUgkr7AHr4EFUD/wMftxc+T0cVVUf4zM0E8A1kgp10kpvcCnwMCKA6SUG6SUi0F9+xWZzULKKvUjCo+GYDv+6AMVigzBiKA3ATZXuL+lfFvMCCGGCCHmCiHmFhQUxLMLhaJKmGIYG0TGNF6hSDcpXRSVUr4ppewupeyen5+fykMrFAD0JgsbxpqFWBE0xpJkixSKxGFE0LcCzSrcb1q+TaGodtxKHUPjbAhupQ4Wg+KvUGQCRgR9DtBOCNFKCGEFBgOTk2uWQpEcmmFlCLVxRhBqDaiFxp3US51hCkUCiCroUko/MBT4DlgBjJNSLhNCPCGEGAAghOghhNgCXAq8IYRYlkyjFYqq8CKNuJI8HIjDfOTZaDTGzB+0Jl/1f1FUM1QLOsURyzLKGMVuplGKF0lLLNxNPS4gV7laFBmLakGnUITgGOy8Q9N0m6FQJAyV+q9QKBQ1BCXoCoVCUUNQgq5QKBQ1hLQtigohCoCNcT69HmRk5aRMtQuUbfGQqXZB5tqWqXZBzbGthZQyZGZm2gS9Kggh5oZb5U0nmWoXKNviIVPtgsy1LVPtgiPDNuVyUSgUihqCEnSFQqGoIVRXQX8z3QaEIVPtAmVbPGSqXZC5tmWqXXAE2FYtfegKhUKhOJzqOkNXKBQKRSWUoCsUCkUNIWMFPZMbUxuw7W4hxHIhxGIhxI9CiBYZZNvNQoglQoiFQojfQvSHTYtdFcZdLISQQoiUhZcZeM+uEUIUlL9nC4UQN2SKbeVjBpV/35YJIVLS19fAe/ZChfdrlRBifyrsMmhbcyHEdCHEgvLfaP8MsatFuV4sFkLMEELEXmhISplxN/ROYWuB1oAVWAR0rDSmJdAZ+AC4JMNsOx1wlv99C/BZBtmWW+HvAcC3mWBX+bgc4BdgFtA9g96za4BXU/Udi9G2dsACoHb5/fqZYFel8f8C3s2g9+xN4JbyvzsCGzLErvHA1eV/9wE+jPU4mTpDz+TG1EZsmy6ldJXfnQUpK+lnxLaiCnezgFSsike1q5wngRFAWQpsitW2dGDEthuB0VLKfQBSyl0ZYldFLgc+SYFdYMw2CeSW/10L2JYhdnUEfir/e3qIx6OSqYKesMbUSSBW264HpibVooMYsk0IcZsQYi3wLHB7JtglhOgKNJNSfpMCeypi9PO8uPxSeIIQolmIx5OBEduOAo4SQvwuhJglhOibIXYBuhsBaMVBoUo2Rmx7DLiyvCnPFPQriEywaxFwUfnfFwI5Qoi6sRwkUwW9RiCEuBLoDoxMty0VkVKOllK2AYYDD6fbHiGEBowChqXbljB8BbSUUnYGfgDGpNmeipjR3S6noc+E3xJC5KXToEoMBiZIKQPpNqQClwPvSymbAv2BD8u/g+nmHqC3EGIB0Bu9d3NM71smvIhQZHJjakO2CSHOBB4CBkgpPZlkWwU+BS5IpkHlRLMrB+gEzBBCbABOAianaGE06nsmpdxT4TN8G+iWArsM2YY+05sspfRJKdcDq9AFPt12HWAwqXO3gDHbrgfGAUgpZwJ2SHoDWSPfs21SyouklMejawdSyv0xHSUVCxVxLCCYgXXol2oHFhCOCTP2fVK7KBrVNuB49AWQdpn2vlW0CTgfmJsJdlUaP4PULYoaec8aVfj7QmBWBtnWFxhT/nc99Mv6uum2q3xce2AD5QmMGfSeTQWuKf+7A7oPPak2GrSrHqCV//0U8ETMx0nVGx3HG9AffbaxFniofNsT6DNegB7os5NSYA+wLINsmwbsBBaW3yZnkG0vAcvK7ZoeSVhTaVelsSkTdIPv2X/L37NF5e9Z+wyyTaC7q5YDS4DBmWBX+f3HgGdS9V7F8J51BH4v/zwXAmdniF2XAKvLx7wN2GI9hkr9VygUihpCpvrQFQqFQhEjStAVCoWihqAEXaFQKGoIStAVCoWihqAEXaFQKGoIStAVCoWihqAEXaFQKGoI/w/CXXULBOx3QAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n",
" s=np.random.randint(10, 200, 100), \n",
" c=np.random.random(100), cmap='hsv')\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Getting a list of colors from a colormap\n",
"\n",
"Giving an argument of 0.0 < x < 1.0 to a `colormap` gives the appropriate interpolated color."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0. , 0. , 1. , 1. ],\n",
" [0. , 0.00784314, 0.99607843, 1. ],\n",
" [0. , 0.01960784, 0.99019608, 1. ]])"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# find the bottom, middle and top colors of the winter colormap\n",
"colors = plt.cm.winter(np.linspace(0, 1, 100))\n",
"colors[:3]"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*np.random.uniform(0.1, 0.9, (2,100)),\n",
" s=np.random.randint(10, 200, 100), \n",
" c=colors)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Styles"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['Solarize_Light2',\n",
" '_classic_test_patch',\n",
" 'bmh',\n",
" 'classic',\n",
" 'dark_background',\n",
" 'fast',\n",
" 'fivethirtyeight',\n",
" 'ggplot',\n",
" 'grayscale',\n",
" 'seaborn',\n",
" 'seaborn-bright',\n",
" 'seaborn-colorblind',\n",
" 'seaborn-dark',\n",
" 'seaborn-dark-palette',\n",
" 'seaborn-darkgrid',\n",
" 'seaborn-deep',\n",
" 'seaborn-muted',\n",
" 'seaborn-notebook',\n",
" 'seaborn-paper',\n",
" 'seaborn-pastel',\n",
" 'seaborn-poster',\n",
" 'seaborn-talk',\n",
" 'seaborn-ticks',\n",
" 'seaborn-white',\n",
" 'seaborn-whitegrid',\n",
" 'tableau-colorblind10']"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt.style.available"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"x = np.linspace(0, 2*np.pi, 100)\n",
"y = np.sin(x)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with plt.style.context('classic'):\n",
" plt.plot(x, y)\n",
" plt.axis([0, 2*np.pi, -1.05, 1.05,])"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with plt.style.context('fivethirtyeight'):\n",
" plt.plot(x, y)\n",
" plt.axis([0, 2*np.pi, -1.05, 1.05,])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with plt.style.context('ggplot'):\n",
" plt.plot(x, y)\n",
" plt.axis([0, 2*np.pi, -1.05, 1.05,])"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with plt.style.context('seaborn-darkgrid'):\n",
" plt.plot(x, y)\n",
" plt.axis([0, 2*np.pi, -1.05, 1.05,])"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with plt.xkcd():\n",
" plt.plot(x, y)\n",
" plt.axis([0, 2*np.pi, -1.05, 1.05,])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Creating your own style\n",
"\n",
"Many, many options can be configured."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"RcParams({'_internal.classic_mode': False,\n",
" 'agg.path.chunksize': 0,\n",
" 'animation.avconv_args': [],\n",
" 'animation.avconv_path': 'avconv',\n",
" 'animation.bitrate': -1,\n",
" 'animation.codec': 'h264',\n",
" 'animation.convert_args': [],\n",
" 'animation.convert_path': 'convert',\n",
" 'animation.embed_limit': 20.0,\n",
" 'animation.ffmpeg_args': [],\n",
" 'animation.ffmpeg_path': 'ffmpeg',\n",
" 'animation.frame_format': 'png',\n",
" 'animation.html': 'none',\n",
" 'animation.html_args': [],\n",
" 'animation.writer': 'ffmpeg',\n",
" 'axes.autolimit_mode': 'data',\n",
" 'axes.axisbelow': 'line',\n",
" 'axes.edgecolor': 'black',\n",
" 'axes.facecolor': 'white',\n",
" 'axes.formatter.limits': [-5, 6],\n",
" 'axes.formatter.min_exponent': 0,\n",
" 'axes.formatter.offset_threshold': 4,\n",
" 'axes.formatter.use_locale': False,\n",
" 'axes.formatter.use_mathtext': False,\n",
" 'axes.formatter.useoffset': True,\n",
" 'axes.grid': False,\n",
" 'axes.grid.axis': 'both',\n",
" 'axes.grid.which': 'major',\n",
" 'axes.labelcolor': 'black',\n",
" 'axes.labelpad': 4.0,\n",
" 'axes.labelsize': 'medium',\n",
" 'axes.labelweight': 'normal',\n",
" 'axes.linewidth': 0.8,\n",
" 'axes.prop_cycle': cycler('color', ['#1f77b4', '#ff7f0e', '#2ca02c', '#d62728', '#9467bd', '#8c564b', '#e377c2', '#7f7f7f', '#bcbd22', '#17becf']),\n",
" 'axes.spines.bottom': True,\n",
" 'axes.spines.left': True,\n",
" 'axes.spines.right': True,\n",
" 'axes.spines.top': True,\n",
" 'axes.titlecolor': 'auto',\n",
" 'axes.titlelocation': 'center',\n",
" 'axes.titlepad': 6.0,\n",
" 'axes.titlesize': 'large',\n",
" 'axes.titleweight': 'normal',\n",
" 'axes.titley': None,\n",
" 'axes.unicode_minus': True,\n",
" 'axes.xmargin': 0.05,\n",
" 'axes.ymargin': 0.05,\n",
" 'axes3d.grid': True,\n",
" 'backend': 'module://ipykernel.pylab.backend_inline',\n",
" 'backend_fallback': True,\n",
" 'boxplot.bootstrap': None,\n",
" 'boxplot.boxprops.color': 'black',\n",
" 'boxplot.boxprops.linestyle': '-',\n",
" 'boxplot.boxprops.linewidth': 1.0,\n",
" 'boxplot.capprops.color': 'black',\n",
" 'boxplot.capprops.linestyle': '-',\n",
" 'boxplot.capprops.linewidth': 1.0,\n",
" 'boxplot.flierprops.color': 'black',\n",
" 'boxplot.flierprops.linestyle': 'none',\n",
" 'boxplot.flierprops.linewidth': 1.0,\n",
" 'boxplot.flierprops.marker': 'o',\n",
" 'boxplot.flierprops.markeredgecolor': 'black',\n",
" 'boxplot.flierprops.markeredgewidth': 1.0,\n",
" 'boxplot.flierprops.markerfacecolor': 'none',\n",
" 'boxplot.flierprops.markersize': 6.0,\n",
" 'boxplot.meanline': False,\n",
" 'boxplot.meanprops.color': 'C2',\n",
" 'boxplot.meanprops.linestyle': '--',\n",
" 'boxplot.meanprops.linewidth': 1.0,\n",
" 'boxplot.meanprops.marker': '^',\n",
" 'boxplot.meanprops.markeredgecolor': 'C2',\n",
" 'boxplot.meanprops.markerfacecolor': 'C2',\n",
" 'boxplot.meanprops.markersize': 6.0,\n",
" 'boxplot.medianprops.color': 'C1',\n",
" 'boxplot.medianprops.linestyle': '-',\n",
" 'boxplot.medianprops.linewidth': 1.0,\n",
" 'boxplot.notch': False,\n",
" 'boxplot.patchartist': False,\n",
" 'boxplot.showbox': True,\n",
" 'boxplot.showcaps': True,\n",
" 'boxplot.showfliers': True,\n",
" 'boxplot.showmeans': False,\n",
" 'boxplot.vertical': True,\n",
" 'boxplot.whiskerprops.color': 'black',\n",
" 'boxplot.whiskerprops.linestyle': '-',\n",
" 'boxplot.whiskerprops.linewidth': 1.0,\n",
" 'boxplot.whiskers': 1.5,\n",
" 'contour.corner_mask': True,\n",
" 'contour.linewidth': None,\n",
" 'contour.negative_linestyle': 'dashed',\n",
" 'date.autoformatter.day': '%Y-%m-%d',\n",
" 'date.autoformatter.hour': '%m-%d %H',\n",
" 'date.autoformatter.microsecond': '%M:%S.%f',\n",
" 'date.autoformatter.minute': '%d %H:%M',\n",
" 'date.autoformatter.month': '%Y-%m',\n",
" 'date.autoformatter.second': '%H:%M:%S',\n",
" 'date.autoformatter.year': '%Y',\n",
" 'date.epoch': '1970-01-01T00:00:00',\n",
" 'docstring.hardcopy': False,\n",
" 'errorbar.capsize': 0.0,\n",
" 'figure.autolayout': False,\n",
" 'figure.constrained_layout.h_pad': 0.04167,\n",
" 'figure.constrained_layout.hspace': 0.02,\n",
" 'figure.constrained_layout.use': False,\n",
" 'figure.constrained_layout.w_pad': 0.04167,\n",
" 'figure.constrained_layout.wspace': 0.02,\n",
" 'figure.dpi': 72.0,\n",
" 'figure.edgecolor': (1, 1, 1, 0),\n",
" 'figure.facecolor': (1, 1, 1, 0),\n",
" 'figure.figsize': [6.0, 4.0],\n",
" 'figure.frameon': True,\n",
" 'figure.max_open_warning': 20,\n",
" 'figure.raise_window': True,\n",
" 'figure.subplot.bottom': 0.125,\n",
" 'figure.subplot.hspace': 0.2,\n",
" 'figure.subplot.left': 0.125,\n",
" 'figure.subplot.right': 0.9,\n",
" 'figure.subplot.top': 0.88,\n",
" 'figure.subplot.wspace': 0.2,\n",
" 'figure.titlesize': 'large',\n",
" 'figure.titleweight': 'normal',\n",
" 'font.cursive': ['Apple Chancery',\n",
" 'Textile',\n",
" 'Zapf Chancery',\n",
" 'Sand',\n",
" 'Script MT',\n",
" 'Felipa',\n",
" 'cursive'],\n",
" 'font.family': ['sans-serif'],\n",
" 'font.fantasy': ['Comic Neue',\n",
" 'Comic Sans MS',\n",
" 'Chicago',\n",
" 'Charcoal',\n",
" 'ImpactWestern',\n",
" 'Humor Sans',\n",
" 'xkcd',\n",
" 'fantasy'],\n",
" 'font.monospace': ['DejaVu Sans Mono',\n",
" 'Bitstream Vera Sans Mono',\n",
" 'Computer Modern Typewriter',\n",
" 'Andale Mono',\n",
" 'Nimbus Mono L',\n",
" 'Courier New',\n",
" 'Courier',\n",
" 'Fixed',\n",
" 'Terminal',\n",
" 'monospace'],\n",
" 'font.sans-serif': ['DejaVu Sans',\n",
" 'Bitstream Vera Sans',\n",
" 'Computer Modern Sans Serif',\n",
" 'Lucida Grande',\n",
" 'Verdana',\n",
" 'Geneva',\n",
" 'Lucid',\n",
" 'Arial',\n",
" 'Helvetica',\n",
" 'Avant Garde',\n",
" 'sans-serif'],\n",
" 'font.serif': ['DejaVu Serif',\n",
" 'Bitstream Vera Serif',\n",
" 'Computer Modern Roman',\n",
" 'New Century Schoolbook',\n",
" 'Century Schoolbook L',\n",
" 'Utopia',\n",
" 'ITC Bookman',\n",
" 'Bookman',\n",
" 'Nimbus Roman No9 L',\n",
" 'Times New Roman',\n",
" 'Times',\n",
" 'Palatino',\n",
" 'Charter',\n",
" 'serif'],\n",
" 'font.size': 10.0,\n",
" 'font.stretch': 'normal',\n",
" 'font.style': 'normal',\n",
" 'font.variant': 'normal',\n",
" 'font.weight': 'normal',\n",
" 'grid.alpha': 1.0,\n",
" 'grid.color': '#b0b0b0',\n",
" 'grid.linestyle': '-',\n",
" 'grid.linewidth': 0.8,\n",
" 'hatch.color': 'black',\n",
" 'hatch.linewidth': 1.0,\n",
" 'hist.bins': 10,\n",
" 'image.aspect': 'equal',\n",
" 'image.cmap': 'viridis',\n",
" 'image.composite_image': True,\n",
" 'image.interpolation': 'antialiased',\n",
" 'image.lut': 256,\n",
" 'image.origin': 'upper',\n",
" 'image.resample': True,\n",
" 'interactive': True,\n",
" 'keymap.all_axes': ['a'],\n",
" 'keymap.back': ['left', 'c', 'backspace', 'MouseButton.BACK'],\n",
" 'keymap.copy': ['ctrl+c', 'cmd+c'],\n",
" 'keymap.forward': ['right', 'v', 'MouseButton.FORWARD'],\n",
" 'keymap.fullscreen': ['f', 'ctrl+f'],\n",
" 'keymap.grid': ['g'],\n",
" 'keymap.grid_minor': ['G'],\n",
" 'keymap.help': ['f1'],\n",
" 'keymap.home': ['h', 'r', 'home'],\n",
" 'keymap.pan': ['p'],\n",
" 'keymap.quit': ['ctrl+w', 'cmd+w', 'q'],\n",
" 'keymap.quit_all': [],\n",
" 'keymap.save': ['s', 'ctrl+s'],\n",
" 'keymap.xscale': ['k', 'L'],\n",
" 'keymap.yscale': ['l'],\n",
" 'keymap.zoom': ['o'],\n",
" 'legend.borderaxespad': 0.5,\n",
" 'legend.borderpad': 0.4,\n",
" 'legend.columnspacing': 2.0,\n",
" 'legend.edgecolor': '0.8',\n",
" 'legend.facecolor': 'inherit',\n",
" 'legend.fancybox': True,\n",
" 'legend.fontsize': 'medium',\n",
" 'legend.framealpha': 0.8,\n",
" 'legend.frameon': True,\n",
" 'legend.handleheight': 0.7,\n",
" 'legend.handlelength': 2.0,\n",
" 'legend.handletextpad': 0.8,\n",
" 'legend.labelspacing': 0.5,\n",
" 'legend.loc': 'best',\n",
" 'legend.markerscale': 1.0,\n",
" 'legend.numpoints': 1,\n",
" 'legend.scatterpoints': 1,\n",
" 'legend.shadow': False,\n",
" 'legend.title_fontsize': None,\n",
" 'lines.antialiased': True,\n",
" 'lines.color': 'C0',\n",
" 'lines.dash_capstyle': 'butt',\n",
" 'lines.dash_joinstyle': 'round',\n",
" 'lines.dashdot_pattern': [6.4, 1.6, 1.0, 1.6],\n",
" 'lines.dashed_pattern': [3.7, 1.6],\n",
" 'lines.dotted_pattern': [1.0, 1.65],\n",
" 'lines.linestyle': '-',\n",
" 'lines.linewidth': 1.5,\n",
" 'lines.marker': 'None',\n",
" 'lines.markeredgecolor': 'auto',\n",
" 'lines.markeredgewidth': 1.0,\n",
" 'lines.markerfacecolor': 'auto',\n",
" 'lines.markersize': 6.0,\n",
" 'lines.scale_dashes': True,\n",
" 'lines.solid_capstyle': 'projecting',\n",
" 'lines.solid_joinstyle': 'round',\n",
" 'markers.fillstyle': 'full',\n",
" 'mathtext.bf': 'sans:bold',\n",
" 'mathtext.cal': 'cursive',\n",
" 'mathtext.default': 'it',\n",
" 'mathtext.fallback': 'cm',\n",
" 'mathtext.fallback_to_cm': None,\n",
" 'mathtext.fontset': 'dejavusans',\n",
" 'mathtext.it': 'sans:italic',\n",
" 'mathtext.rm': 'sans',\n",
" 'mathtext.sf': 'sans',\n",
" 'mathtext.tt': 'monospace',\n",
" 'mpl_toolkits.legacy_colorbar': True,\n",
" 'patch.antialiased': True,\n",
" 'patch.edgecolor': 'black',\n",
" 'patch.facecolor': 'C0',\n",
" 'patch.force_edgecolor': False,\n",
" 'patch.linewidth': 1.0,\n",
" 'path.effects': [],\n",
" 'path.simplify': True,\n",
" 'path.simplify_threshold': 0.111111111111,\n",
" 'path.sketch': None,\n",
" 'path.snap': True,\n",
" 'pcolor.shading': 'flat',\n",
" 'pdf.compression': 6,\n",
" 'pdf.fonttype': 3,\n",
" 'pdf.inheritcolor': False,\n",
" 'pdf.use14corefonts': False,\n",
" 'pgf.preamble': '',\n",
" 'pgf.rcfonts': True,\n",
" 'pgf.texsystem': 'xelatex',\n",
" 'polaraxes.grid': True,\n",
" 'ps.distiller.res': 6000,\n",
" 'ps.fonttype': 3,\n",
" 'ps.papersize': 'letter',\n",
" 'ps.useafm': False,\n",
" 'ps.usedistiller': None,\n",
" 'savefig.bbox': None,\n",
" 'savefig.directory': '~',\n",
" 'savefig.dpi': 'figure',\n",
" 'savefig.edgecolor': 'auto',\n",
" 'savefig.facecolor': 'auto',\n",
" 'savefig.format': 'png',\n",
" 'savefig.jpeg_quality': 95,\n",
" 'savefig.orientation': 'portrait',\n",
" 'savefig.pad_inches': 0.1,\n",
" 'savefig.transparent': False,\n",
" 'scatter.edgecolors': 'face',\n",
" 'scatter.marker': 'o',\n",
" 'svg.fonttype': 'path',\n",
" 'svg.hashsalt': None,\n",
" 'svg.image_inline': True,\n",
" 'text.antialiased': True,\n",
" 'text.color': 'black',\n",
" 'text.hinting': 'force_autohint',\n",
" 'text.hinting_factor': 8,\n",
" 'text.kerning_factor': 0,\n",
" 'text.latex.preamble': '',\n",
" 'text.latex.preview': False,\n",
" 'text.usetex': False,\n",
" 'timezone': 'UTC',\n",
" 'tk.window_focus': False,\n",
" 'toolbar': 'toolbar2',\n",
" 'webagg.address': '127.0.0.1',\n",
" 'webagg.open_in_browser': True,\n",
" 'webagg.port': 8988,\n",
" 'webagg.port_retries': 50,\n",
" 'xaxis.labellocation': 'center',\n",
" 'xtick.alignment': 'center',\n",
" 'xtick.bottom': True,\n",
" 'xtick.color': 'black',\n",
" 'xtick.direction': 'out',\n",
" 'xtick.labelbottom': True,\n",
" 'xtick.labelsize': 'medium',\n",
" 'xtick.labeltop': False,\n",
" 'xtick.major.bottom': True,\n",
" 'xtick.major.pad': 3.5,\n",
" 'xtick.major.size': 3.5,\n",
" 'xtick.major.top': True,\n",
" 'xtick.major.width': 0.8,\n",
" 'xtick.minor.bottom': True,\n",
" 'xtick.minor.pad': 3.4,\n",
" 'xtick.minor.size': 2.0,\n",
" 'xtick.minor.top': True,\n",
" 'xtick.minor.visible': False,\n",
" 'xtick.minor.width': 0.6,\n",
" 'xtick.top': False,\n",
" 'yaxis.labellocation': 'center',\n",
" 'ytick.alignment': 'center_baseline',\n",
" 'ytick.color': 'black',\n",
" 'ytick.direction': 'out',\n",
" 'ytick.labelleft': True,\n",
" 'ytick.labelright': False,\n",
" 'ytick.labelsize': 'medium',\n",
" 'ytick.left': True,\n",
" 'ytick.major.left': True,\n",
" 'ytick.major.pad': 3.5,\n",
" 'ytick.major.right': True,\n",
" 'ytick.major.size': 3.5,\n",
" 'ytick.major.width': 0.8,\n",
" 'ytick.minor.left': True,\n",
" 'ytick.minor.pad': 3.4,\n",
" 'ytick.minor.right': True,\n",
" 'ytick.minor.size': 2.0,\n",
" 'ytick.minor.visible': False,\n",
" 'ytick.minor.width': 0.6,\n",
" 'ytick.right': False})"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plt.rcParams"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting foo.mplstyle\n"
]
}
],
"source": [
"%%file foo.mplstyle\n",
"axes.grid: True\n",
"axes.titlesize : 24\n",
"axes.labelsize : 20\n",
"lines.linewidth : 3\n",
"lines.markersize : 10\n",
"xtick.labelsize : 16\n",
"ytick.labelsize : 16"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"with plt.style.context('foo.mplstyle'):\n",
" plt.plot(x, y)\n",
" plt.axis([0, 2*np.pi, -1.05, 1.05,])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Customizing plots"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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71bBWoTVYC81k4C1VnZPtgQJSgNcl3RXYoP1OWJ2XFPadcv471vJ0KtAKS2iqY7PHVmHrW70EvKGhjMfFLvHXyDnnnHPxxsfAOOeccy7ueALjnHPOubjjCYxzzjnn4o4nMM4555yLO57AOOeccy7uJNw0ahFpiE2tPRab5tgAm0bXWVXHF+C4XYHrsZV+iwELgbHA06qaltN9MzrggAO0bt26+Q3DOeeciyvff//9P6oa8XIOCZfAYEnGrZE8oIg8iVVU3YZV2tyJ1YF4AmgnIp3ymsTUrVuXmTNnRjI855xzLmaJSFSWcEnELqR5wDCsmFY9bJGzfBORC7DkZSVW0bODqp6HVYJdAJwH3FygiJ1zzjkXloRrgVHV0Rl/F5Hsds2rAaHrfqr6S4bH+VtErscqb/YXkcfD6UpyzjnnXP4lYgtMxIRWP22OlQl/I/N2VZ0ELMdKUR9fuNE555xzRZcnMDlrFrr+SVW3ZrPPjEz7Oueccy7KEq4LKcIOCV3nNADp90z75mjrVlixAipVguTkAsXmounff+Gnn2D1anvRtm6FE0+ERo32bl+zBmrWhNKlg43VOediiCps2QJr19olWjyByVnZ0PXmHPbZFLoul5cDzp8PNWrYz6VL28+pqXDssXY55hgoWzbnY7go2bYNzj0X5s2D5cv33/7UU3sTmPfeg+7d7ec6daBVq72X+vWh4GOvnHMu5v3zD8yYsfcyaxasWgU7d0b/sT2BKQQicg1wDcABB9Tn/vv3ZqZLl8LUqfDaa7ZvUpJ9B158MXTqBFWqBBd3Qlu/Hj76yDLK+++325KTYfZs+Ptvyy4bN97bwlK6NDRosO8x6tSBv/6CZcvgxRftApaVLlgA5csX6lNyzrnC8Ntv8OqrdvnxR7tNBA4/HNq0sX+blSvbpVIl+y6LBk9gcpbeupKSwz7p7SUbs9tBVUcBowBSU1P1uuv232fVKstep06F8ePhuuvgppvgtNPgssvsDVCiRP6ehMvgl1/g0Udh7FjrFhKxP/SBB9r28eOhenU45BAoViz743TrZpfdu63FZvLkvZfDD9+bvKjCCy/A2Wfbp9k55+LQhg3w3HPw8svw3Xd22wknwODBcNxx1ntQ2OdsoqqF+4iFTEQmAq3JRyVeEekIvAvMUtVjstnnLUK1YFT1idyOmZqaqrkVslOFOXPglVcsw/39d6hbF/r3t16LUqXCeRYOVfjmG3jkEev6SX/Pn3wynH++JSKVKkXusTZsgAoV7Pdp0+xTXrYs9OoFt90GFStG5rGccy7K1q6Fxx6DkSNh3Tpo2tR6CC66yL6X8kJEvlfV1EjH5rOQcjYrdN1YRLIbqXlspn0LTMTeJEOGWFPde+9ZA8F118Ghh8KIEdZ44PLot9+sXfPdd60Z68or97aa9OwZueQF7MVLT17A+gTbtYNNm6yr6pBD4KGH7HfnnItRq1bB7bdbT/l998Epp8D06TbGpV+/vCcv0eQJTA5U9Q/gB6Ak0DnzdhFpDdTCqvROjUYMSUnW+zB1Knz+uQ3DuO02G57x0UfReMQEsWHD3paWQw+FAQPg//7PmrNGj7Y/YGFo0QK++MJagE45xU5h7rzTYnrhhcKJwTnn8mj3bnj6afuueeQR+/758Ud4+22baBJLPIEBRGSQiCwUkUFZbE6/bYiI1Mtwn2rAU6FfB0e7Cq8InHoqTJgAX35p3UhnnWVjY/78M5qPHGdU4X//swThvff23n7//XYakT7WpbCddNLeF++EE2x69vffBxOLc85l4Ycf7N/TDTfY7NiffrIxL0cdFXRkWUu4BEZEjhGRaekXIH3sykOZbs/oIKBh6HofoXEzT2PVdueKyPuhcS+/AEcA72CLOhaatm1tjMyDD8KHH9rM3sceg7SivpDBqlXQoQNcc43VaHn77aAj2l/btjBlig1uevDBvbcvW+YvoHMuEFu2WG/6scdaI/VLL1mL/+GHBx1ZzhIugQHKA8dluKTXZ6mf6fY8U9UbgEuw7qTWQHtgMXATcIGq7o5I5GEoWRLuuMMy5JNPtjdfhw42J79I+vhjO0346CMb0/LKKzbTKBaJ2Ai49II/mzZB69bWxfTXX4GG5pwrWubPt57ukSNtnOXChdC1a3yUskr4WUixJi+zkMKlCv/9ryUxVavayX3LlhF9iNi1bZuNKBs50n5v08bGltSqFWxc4Zg9G/7zHyvRfOCB8PrrVgzIOeei6PnnrbsoJcVaXU47LTqP47OQXLZE4PrrbcZu6dJ2Ij94cBHpkVi3Dt56C4oXtyf9+efxlbyATTmbPduSr7//tm6m4cP3DkJ2zrkI2rwZrrjCynK0aGH/fqKVvESTJzAJpFkzGxfaqZNNuunUqQhMt65eHT74wKZp9euXc/G5WFatGnz2mT2H3buhd2/rZvLp1s65CFq+3OYUPP88DBxokyTTl7eJN57AJJjy5W34x4gR8M47djK/enXQUUXYhx/uLf8P0KSJDZmPd+mtSG++CeXKwRtv+Fx551zEzJ0Lxx8PS5bYv5Z7743fcz7wpQQSkoiNh6ldGy65xKbFffyxrTEY9x591Fon0tJs9PIppwQdUeSdf77VqfnsM7jwwqCjcc4lgC+/tH8tZcvC119bz3W88xaYBHb++fDVVzZM5MQTrZclbqlaIbpevSx5ufdem7mTqBo2hJtv3vv7/Pl7V01zzrkwvPACnHGGndROm5YYyQt4ApPwTjjBEpcKFayi/VdfBR1RPqja2JAHHrD2zhdftM7beJjnFwl//QXt29vMpMmTg47GORdHnnjClntr1cpaXg4+OOiIIscTmCKgfn349lsrTtuhQ5wlMarWHzZsmI0RefVVuPTSoKMqXJUr23Kv69fbadSkSUFH5JyLA088YQ2555xjwwgSbR1ZT2CKiGrVLHGJuyRm7Vp4/32r3PfWWza1qqhJTobXXoMePWxa2VlnWUbqnHPZyJi8vP66/QtNNJ7AFCGZk5gJE4KOKA+qVLGgP/jAVhUrqooVg1GjrPVp82Y480yIcEFE51xiePLJxE9ewBOYIidjEnPWWTHcGzEtw3JVdevGZ5WlSCtWzJZH6NzZVts+/fQEnCPvnCuIp5+Gm25K/OQFPIEpktKTmLp1oWNHqw0QU0aOtNHHd98ddCSxp3hxq/l97rn296laNeiInHMxYvx4uPFGa6xO9OQFvA5MkVWtGnzyieUJZ5xhM5Vq1w46KuzL+dZb7edDDw02llhVooQVu0vy8w/nnJk82XqYTzjBhswlevIC3gJTpNWubSPTN22yIRX//htwQJ98YotzgM066tYt0HBiWsbkZdEiW3Zg8+bg4nHOBeann6zLqG5deO89WxOvKPAEpog7+mhbcuCXX+wDsG1bQIHMmgUXXAC7dkHfvtCnT0CBxBlVO+16/XXo2tXWUXLOFRl//mmt6MnJdg5YpUrQERUeT2AcbdpYpcavv4bLLgtgFeuVKy172rLFAhgypJADiGMiVtivUiU79brttqAjcs4VkvXr4T//seuPP7YWmKLEExgHwMUXw8MP2yCw++4r5AffuBFKlbLO2//9r+hU2I2Uww+3ZrSSJW0A9KOPBh2Rcy7K0tKs8XX+fBsSlyjLA4TDExi3x2232bCTe++178NCU78+TJ9uD1qqVCE+cAJp1cqmWIMtdvn558HGEwF169ZFRHK9TJw4MehQnSt0d99t5bEefbToVpnwWUhuDxH4738to7/sMivF0rhxFB9wzhxo0sR+rlQpig9URHTtCgsXwv33W5Pazz8nRId4+/btqV69erbbc9oWtO7du/P8888zduxYuqcPUHeugN5805aG69HDpk0XVZ7AuH0kJ1vF/tRUKzUyfXqUcouPPrJywNdfbzWvvdsoMu65x6YknHVWQiQvAP379+eUU04JOgznYsLcudZSftxx8NRTRftfp3chuf3UqmVJzLJlUZrYsmyZdd6qwoEHFu1PYKQlJdlAph49go7EORdha9faiWX58vY/uqj3uHsC47J04om2nsYnn0S4IO6OHXDhhVZ0pkMHuOuuCB7cAfsmhPPmwSuvBBdLIVu6dCkiQt26dUlLS2P48OE0btyY0qVLU6tWLW677Ta2bNkCwL///kvPnj2pW7cupUqVon79+gwfPjzL455yyil7xttMmDCBU089lUqVKlG2bFlatmzJe++9l2Uczz//PABXXHHFPuN2nnvuOb7++mtEhEaNGmX7fP755x+Sk5MpXbo0a9asydPfYPr06XTu3JmaNWtSokQJKlSoQL169ejatStfZVrFtXv37nvimT17Nueeey4HHHAApUuXpnnz5oxNH1eVyerVq3nsscc444wzOOSQQ0hOTqZChQocf/zxPPnkk+zO4axnzZo1DBw4kGbNmlG+fHlSUlKoX78+3bt359ssFindvHkzQ4cO5dhjj6V8+fKULl2axo0bc88997Bp06Y8/U0SQVoaXHKJTZt+6y2oUSPoiGKAqvqlEC/NmzfXeHLllaoiqp9/HqED9uypCqq1a6uuWROhg7os/fGHakqKaokSqt9+G3Q0YatTp44COmHChDzf57ffflNA69SpoxdddJGmpKToWWedpR07dtSKFSsqoGeccYauWbNG69evr9WrV9dOnTppu3bttHjx4grogw8+uN9xW7durYDecsstmpSUpEcddZR26dJFTzzxRAUU0EceeWTP/qtXr9Zu3brpYYcdpoCedNJJ2q1btz2Xr7/+WlVVmzRpooB++eWXWT6fQYMGKaDdu3fP0/P/7LPPtESJEgpos2bNtHPnznruuedqamqqlihRQq+99tp99u/WrZsCet1112lycrIedthhevHFF2vbtm21WLFiCujNN9+83+O8+OKLCmitWrW0TZs2evHFF+spp5yipUqVUkDPOeccTUtL2+9+P/zwgx500EEKaOXKlfXss8/Wzp07a4sWLbRkyZLarVu3ffb/448/9IgjjlBAq1atqqeffrp27NhxzzGOPvpoXbt2bZ7+NvFu8GD71/n000FHEj5gpkbh+zTwL/Sidom3BGbzZtUjjlA98EDVFSsKeLC33rK3XIkSqtOmRSQ+l4tbbrG/eZ06qv/+G3Q0YSlIAgNow4YNdfny5Xu2/f7771qlShUF9Mgjj9ROnTrp1q1b92z/4IMPFNBy5crp5s2b9zluegID6LBhw/bZ9t5772nx4sW1WLFiOmfOnH22pScIY8eOzTLe0aNHK6AXXHDBftt2796tdevWVUBnzJiRp+ffpk0bBfTll1/eb9s///yjM2fOzDK+9ORs165de7ZNmzZNy5Urp4B++OGH+9xv/vz5Oi2Lz/Bff/2lTZs2VUBfffXVfbZt3LhRa9WqtSdh2rJlyz7bV61atSexU1VNS0vTE044QQG96aab9tl/y5YteumllyqwX9KTiKZMUS1WTLVzZ9Us8sKY5wlMglziLYFRVZ03T7V0adVTT1XdvTufB0lLU23Rwt5yI0ZEMjyXk+3bVZs3t7/7hRfG1X+/9AQmp0uFChX2uU/GBObTTz/d75i33nrrniRl9erV+20/+uijFdBJkybtc3t6ApOampplrJdffrkCetVVV+1ze24JzJYtW7Ry5cpavHjxfZItVUuMAD322GOzvG9W0lsr/s1jspoeX82aNXXbtm37bR84cKACeuqpp+Y5hs8++0wB7dSp0z63jxgxQgE94YQTsmydyeyjjz5SQI8//njdncU/nk2bNmm1atW0ePHiCd0Ks2aNNVgfcojqunVBR5M/0UpgfBaSy1XjxlYf7eqrYfBguOOOfBxEBL74AsaMgVtuiXiMLhslS9oYmGOOseUG2rePuwG+OU2jLlOmTJa3lyhRgnbt2u13e7169QBITU3lgAMO2G97/fr1+fHHH/nrr7+yPO4ll1yS5e2XXXYZL7zwQtg1aUqXLs1VV13F0KFDGTVqFPfcc8+ebU899RQAN4YxT7ZFixbMnz+frl27cuedd3L88cdTrFixXO/XqVMnSmUxIvSyyy7jvvvu45tvvmHXrl0UL773K2PXrl189dVXTJ06lZUrV7Jt2zZUlY0bNwLw888/73OsTz75BIAePXogeRi4/9FHHwFwwQUXkJTFwqUpKSmkpqby0UcfMWPGDE4//fRcjxlvVOHKK2HFCpgyBSpUCDqiGBONrMgvidUCo2on7l26qCYlqWZo5XXx4oUXrBWmTBnVBQuCjiZPCtKFdPDBB2e5fezYsQroZZddluX27FpM0ltg3nnnnSzv98svvyigycnJeTpeRsuWLdNixYppjRo1dOfOnaqqunjxYhURrVKlyj7dXLlZsWKFNmvWbE8rVJkyZbRVq1Z6zz336JIlS7J9vo8++miWx9u+fbsmJSUpoCtXrtxz+6JFi7RRo0Y5to7VrVt3n2MdfvjhCuzTTZST//znP7m2wKVfxo0bl+e/UTx5/HH72GYYXhWX8BYYF6T0InfTp0OXLvDjj3msDzNpkq3tPmwYpKREPU6Xjcsug88+swpY8+fb8gMJLKsz9nC2F6batWvTsWNH3n77bd555x06derE008/jarSo0cPkpOT83ys6tWrM3PmTCZOnMjnn3/OlClT+O6775g8eTIPPPAAzzzzDD0i0ALXqVMnFixYQMeOHbn99ttp1KgRFSpUoFixYvz88880bNgQ+97aKy+tLhmlz2Rq3bo1dXNZ5KdOnTphHTsezJljRbU7dIBevYKOJjZ5AuPyrHx5ePVVW7Lo5pth3Lhc7rB+PVx+Ofz+Oxx2mH0aXXCefNL6/3KYtutytnTp0hxvr1mzZr6Oe/PNN/P222/z1FNP0aFDB8aOHUtSUhLXX3992MdKSkqibdu2tG3bFrBpyE888QT9+/fnxhtvpFOnTpQvXz7L+DP7/fffSUtLIzk5mSqhwogLFy5k7ty5VKtWjbfeemu/LqrFixdneazatWuzYMECFi1aRMuWLXN9HgcffDAAnTt3DqsbLRFs327nHJUr2wohXiora7FzGuLiQmqqlW556SWrl5ajm26y5CU11ce9xILy5fdNXiJeoTDxvfTSSznenrlicMmSJQEbL5KTNm3acOSRRzJhwgTuvvtu1q5dy5lnnskhhxxS4JhTUlLo168ftWrVYtu2bSxatGi/fcaPH8+OHTv2uz39eZ100kl7xr+sXbsWgBo1amQ5via7v1H79u0BGDNmzH6tM1k588wzAXjjjTdy3TfR3H23Vdx99lnIYqiWC/EExoXtjjssJ7nuOli5MpudXn/dmmhKl7brEiUKNUaXA1UYPRqaNYMNG4KOJq7MmDGDESNG7HPbRx99xLhx4yhWrBg33XTTPtvSW2QWLFiQ67HT7zt06FAAbrjhhrDje/jhh/njjz/2u33mzJmsWLGCpKSkPS0bGf3555/079+ftLS0PbfNmDFjT2G/W2+9dc/t9evXJykpiXnz5jF58uR9jjN27FheyaZw4lVXXUWNGjX49ttvufnmm9m2bds+21evXs0333yz5/dzzz2X5s2bM2nSJK677ro9iVNGK1eu5H//+1+WjxevpkyxHverr4b//CfoaGJcNAbW+CXxBvFmNn++anKyaocOWczM/fNP1UqVbPTZk08GEp/Lwc6dqqmp9vpkmvYbS9IH8bZv336fInCZLxmnS2csZJeV9EG82dUOyW0Qb3ohu6OPPlq7dOmiJ5100p6BpEOHDt3veLNmzdKkpCRNSkrS008/XXv06KFXXnmlTpkyZb99N2/erJUqVVJADz300CynDuemQoUKCmijRo30/PPP1y5dumjLli33DMTt379/ls/3uuuu01KlSmm9evX04osv3qew3w033LDf49x0000KaFJSkrZp00a7dOmiRx55pAI6YMCAbF+DGTNmaLVq1RTQKlWqaMeOHfXCCy/U4447LttCdkcdddSeqe8tW7bULl266HnnnaeNGzdWEdEDDzww7L9TrNq4UfWww2zK9IYNQUcTOXgdmMS4JEoCo2rlXEB19OgMN6alqZ5xhm0488y4qjtSpPz0k2rJkvY6ffxx0NFkKS91YAAdkaGuULQTmAkTJujnn3+ubdq00fLly2uZMmX0xBNP1Lfffjvb5/HGG2/occcdp2XLlt0Tc3azks4666wsi+Xl1bhx47Rbt27auHFjrVSpkiYnJ+shhxyi55xzTpZ1cTI+3++//147dOiw537NmjXT//3vf1nWbNm9e7eOGjVKmzVrpikpKVqxYkVt166dfvzxx7m+Bn///bf2799fGzdurKVLl9aUlBStX7++du/eXadOnbrf/lu3btUnnnhCW7VqpZUqVdISJUpo9erVtXnz5tqnT58sk8F4dd11Vvk8UxmiuOcJTIJcEimB2b1b9ZRTVMuWVf3119CNW7aoXnyxtcD89Veg8blcDBli/wJq1oy7Kr2FLWMCEy1///23lixZUkuXLq1rCmmZjbxM83aF4+OP7ePYu3fQkURetBIYHwPj8i0pCZ57zkbIX3WVDa2gdGkrnDZvHhx0UNAhupz07g3HHw/Ll0OGMQ4uGA8++CA7duygW7duVK5cOehwXCHasMH+hx5xBDzwQNDRxA9PYFyB1KkDQ4fCV1/Bc89mmNXiS6XGvmLFLANNToYXXoD33w86oiLn22+/5aqrrqJNmzaMHDmSChUq8H//939Bh+UK2YAB8NdfVqg8jLI/RZ4nMK7ArrkGTm60mt7XbWLlZz8GHY4LR8OG8NBD0KSJJ50B+Pnnn3n22WeZPn06LVu25JNPPqGGvw5FyjffwFNPWSPocccFHU18EeuecoUlNTVVZ86cGXQYkbV2LYsanE2TNV/SsdmfvP5DvaAjcuHYvRvS0nyqu3OFbNs2q2awdav1upctG3RE0SEi36tqaqSP6y0wruBuu42Ga75lYN0XeWNWPd59N+iAXFiKFds3eQktxueci64HH4SFC+GZZxI3eYkmT2BcwXzxBTz/PCQn0/fDUzj6aLjhBltFwMWZtWvh4ouhZUvYuTPoaJxLaHPnwuDBtmRAqEixC5MnMC7/tm2zbAXg7rspcUR9Ro+26rz9+wcbmsuH5GSYMcNW6gxVYHXORd7u3TbrqFIlyFTY2YXBExiXf0OHwi+/2Ny/224D4NhjoWdPW7l66tRgw3NhKlPGXjiAe+6BJUsCDce5RPX00zB9Ojz6KITWyHT54AmMy78aNaBiRRtCH1q0DuDee6FWLWucyWUNOxdrTjvN2rS3bbPFrnyQv3MR9ffftiDuqadCly5BRxPfPIFx+XfVVbBsGbRuvc/NZctas+js2Xam4eLMI4/YaeEXX0ARXAnYuWjq2xe2bIEnnrAioC7/PIFx4cvYrFK+fJa7XHABnH66nWlku2K1i01Vq8KgQfbzbbfBpk3BxuNcgpg8GV580ZKYhg2Djib+eQLjwrNhAzRubGfpu3dnu5uInWFs22YfVhdnrrzSlhk47zyrEeOcK5CdO61bvU4duPPOoKNJDJ7AuPDcfTf8/LN1LeTS/lm/Ptx+O4wbB5MmFVJ8LjKSkux08fHHs21lc87l3eOPw08/wWOP2Xh5V3BeibeQxXUl3p9+spLzqjBzppWQzMWWLTZJqWxZmDXLi73Gre3bbaC2d9o7F7bly+Hww2244PvvF72PkVfidcFStfnRu3fb4kd5SF7AzjRGjrTcZ+TI6IboouSTT6BRI3jrraAjcS4u9eljQwdHjix6yUs0eQLj8ubdd21WSsWKcP/9Yd21Y0c46yy47z6bQujizG+/2aVXL9i8OehonIsrX38Nr74K/frBoYcGHU1i8QTG5W7btj2F6rjvPjjggLAP8cgj1p10110Rjs1F3zXXwDHHwB9/WO1z51yepKVZw/XBB9t4QBdZnsC43K1eDdWr2+yj66/P1yEaNoSbb4Znn7WxMC6OFCtmIxABHn4Yfv892HicixPPPQc//ABDhvjA3WjwQbyFLG4H8aalWf/PQQfl+xDr1tnMpCOOgIkTvS847nTpYm3hXbrAyy8HHY1zMW3DBmjQAA47DL75pmj/v/NBvC5YSUkFSl7Ahs888IDNzn3zzciE5QrR4MG24OMrr/hCV87l4sEH7Zzv0UeLdvISTZ7AuOx9950VMvv114gd8qqr4Oijrbjdtm0RO6wrDHXqQO/eULMmrF8fdDTOxawlSyxx6dbNFrh10eEJjMuaqg3cfecdG7gSIcWK2Qd76VIYPjxih3WF5Y47YNEiOOOMoCNxLmb16WNlk9JX5HDR4QmMy9pbb8G339q6OP36RfTQbdrA+efDQw/BihURPbSLtjJlICUl6Cici1lffWXnfXfcUeBed5cLT2Dc/nbs2Ju03HtvVErJDx1qD3PPPRE/tCsMGzbYe2TIkKAjcS5mpKVZ93jt2lY2yUWXJzBuf08/bZ24hx8OV18dlYc47DBb2Gz0aJg/PyoP4aJp9mzLQu+7z5vRnAt55RWbNv3ggzbe3UWXJzBuX//+a19KAMOGQfHiUXuo//s/KFcu4j1UrjC0amUDvLds8WY057BJCXfcYTUfu3YNOpqiwRMYt69Jk6x7oE0bq/8fRVWqwIAB8MEHVhfGxZlBg2xU9rPPwoIFQUfjXKCeeMJqPA4bZlUnXPR5IbtCFheF7H7+2TpzDz886g+1datV6T3wQJu17R/8OHPddfDMM3DOOTZy0bkiaO1a6xY/4QT46KOgo4k9XsguTCLSVUS+FpH1IrJJRGaKyI0iEtZzFpF7RERzuCReNZMGDQoleQEoXdqK282cCa+9VigP6SLp7rttZtK778KUKUFH41wgHnjAGq6HDg06kqIlIRMYEXkSeAlIBb4GPgcaAE8A48NNYkLmAM9ncXkxEjEH7scfbep0AC1yl14KTZpY//H27YX+8K4gDjrIituBJTHOFTG//WbdR1dcAUceGXQ0RUv0RmgGREQuAG4AVgKtVPWX0O0HAhOA84CbgcfCPPQ7qnpPBEONLbffDp9+atXlCnn+X1KS9Ruffjo8+eTeha9dnOjb1wb1nnpq0JE4V+juvNPmOtx7b9CRFD2J2AIzIHTdLz15AVDVv4H0pZT757MVJjFNmGDJS/nycPnlgYRw2mmWwDz0kDXFujhSrpwnL65ImjXLpk736mUrbLjClVBf4iJSC2gO7ADeyLxdVScBy4HqwPGFG12MUoX+/e3nvn1talBAHnoI1qyBRx4JLARXULNm+ShGV2TceSdUqmT/Ol3hS6gEBmgWuv5JVbdms8+MTPvm1TEiMkRERonIYBE5T0RK5i/MGPL22zB9uk0D6tkz0FCaN4fOnS2BWbUq0FBcfnz3nRXBuPpqm17mXAL7+mv4+GMrBVGxYtDRFE2JlsAcErpelsM+v2faN6/OBm4Hrgb6AW8BS0SkdZjHiR27dtkpBFhVubJlg40HuP9+Kwj10ENBR+LCduyxlsD89Rc89VTQ0TgXNaqWuNSoATfdFHQ0RVeiJTDp38Cbc9hnU+i6XB6PuQQbV9MUqABUBdoCk4BawEcicnROBxCRa0LTuGeuXr06jw9bCF56CRYuhEMPjdqSAeFq2BC6d7fVDJbllIa62JOUZDXUwYrc+WAml6A+/NCqBgwcaKUgXDASLYGJOFV9UVUHq+ocVd2gqv+o6gRVPQV4EygD5NheoKqjVDVVVVOrVq1aGGHnTefO9kUzbJit/R4j7r4bRHxUf1xq3x5OPtkGMw0fHnQ0zkVcWpo1XNerBz16BB1N0ZZoCUx660pKDvukt9JsjMDjhRYN4jQRKRGB4xWuMmVsAO/55wcdyT4OPhhuvBGef94Xeow7IntbYR55BP75J9h4nIuwV1+1sln33w8l4u+/fkJJtARmaei6Tg77HJxp34JYGLouCRwQgeMVji1bYGMk8rfoGTAAUlJsaI6LMyefDGeeCZs2weDBQUfjXMTs3GndRk2bwoUXBh2NS7QEZlbourGIZNczeWymfQsi45zjTdnuFWtGjoRDDrFTiRh1wAFW4PWtt2yZARdnHngArroKbr016Eici5gxY2DJEmtk9HXbgpdQL4Gq/gH8gLWIdM68PTRjqBZWpXdqBB4yPQdfpKqx3aSRbv16W7BjzRrLEmJYr15QubKd8bg4c8wx8L//WX+gcwlg2zbLy084wRoYXfASKoEJGRS6HiIi9dJvFJFqQPrczsGqmpZh200islBEXsh4IBGpHVoUslSm20VELsvwWCMi/iyiZcQI+PdfaN0a2rULOpoclS9vBaI+/himRiLddMFIS4v5LkvncjN6NPz5p419EQk6GgcgGsDifdEmIk9hywZsA74AdgLtgPLAO0AnVd2dYf97gLuBSaHZRem3N8W6mjZiLTt/YdOvG7O3jswTqnpzXmNLTU3VmUH1iaxZY1OmN2yAyZNtrEKM27TJQm7SBD7/POhoXNimT7epGi1aWPu7c3Fo61Y47DBo0MBWXvEEJjwi8r2qpkb6uInYAoOq3gBcgiUdrYH2wGLgJuCCjMlLLv4AhgHfA4cB5wKnYX+314B24SQvgXv4YUteTj89LpIXsNp6/fvDF19YzuXiTJUqVmvohRfgl19y39+5GPT007BiBdx3nycvsSQhW2BiWWAtMH//bU0ZW7ZYyfcWLQo/hnzautVCb9AAJk70fyBx58orrfXlsssskXEujngrcMF5C4wrmFWroH596NgxrpIXsEqXd9xhLTBffRV0NC5sd90FxYtb5edFi4KOxrmwPPkkrF5trS8utngLTCELdAxMWpp1IcXhymPbtln+dfDBVsLbW2HizLXXwqhR0LWrJTLOxYENG6zixHHH+SLrBeEtMK7gkpLiMnkBSE62E/mpU+GTT4KOxoXtzjutbOkrr3h5ZRc3HnsM1q711pdY5QlMoluxws5+f/016EgK7IoroG5dWyvJGw7jTO3atmBotWq+SqeLC+vX23JeHTtCasTbDlwkeAKT6IYOtab7228POpICK1nSxsLMmOGtMHHpgQcskfYqYC4OjBwJ69bZCZOLTT4GppAV6hiYFSts+Py2bTB7tg2jj3M7dthYmIMOsu4kHwvjnIu0DRustbdlS3jvvaCjiX8+BsaFb9gwS17OOy8hkhfY2wrz3Xfw2WdBR+PyZcMGeOgh+OmnoCNxLkuPP24Fy731JbZ5C0whK7QWmJUrbfj8tm0wa5Ytn5ogduyAevWgVi2fkRSXeve2wQUXX2yDep2LIRs3WuvLCSfABx8EHU1i8BYYF56hQ/e2viRQ8gLWCjNggHUhffFF0NG4sPXqZS/ia69ZlV7nYsgTT9jMI299iX2ewCSi9evhmWfs5wRdyrlHD2uBufden5EUd2rVshdQFR58MOhonNtj0yZ45BEbZ37ssUFH43LjCUwiqlABpk2zT2KCtb6kK1XK1kiaMsWr88al/v2tOu/LL8PPPwcdjXOAVd1ds8ZbX+KFj4EpZIFW4k0w27bZCrGHHQaTJvlYmLhz9dUwejR06wbPPRd0NK6I27TJhg02b+5lGiLNx8C4vFm2rMj0qSQn24n8119bAuPizIABUKwYjBsHS5cGHY0r4p55Bv75J2F73ROSJzCJ5N9/4aij4OST7XSiCLjqKjjwQB9KEZcOPdSK2737LtSpE3Q0rgjbuhUefhjatYMTTww6GpdXxYMOwEXQyJE2BzA5GcqWDTqaQlG6NPTpA3372rCf448POiIXlv79g47AOcaMscoTPqs/vvgYmEIWtTEw6aUj//0XJk6E1q0j/xgxatMmO4E/8UR4//2go3H5tm5d3C426uJXel2p2rWtO9rH0kWej4FxOXvqKUteTj65SCUvYI1NvXpZ0anZs4OOxoVt924byFurli1/4VwhevFF+OMPW+3ek5f44glMIti82aZMg30Ki6CbboLy5a1CvYszxYpZM1rG97FzhWDXLhg82GYetW8fdDQuXJ7AJIJRo2z4fIsWcNppQUcTiIoV4eabYfx4WLAg6Ghc2O64w67/+18rxOFcIXj9dVi82Ftf4pUnMIkgLc2aH4r4p7BnTxvUO2hQ0JG4sDVvbuVPN2+Gxx4LOhpXBKSl2ezFI4+Ejh2DjsblhycwiaB3b/j9d+jQIehIAnXAAXD99VbcdcmSoKNxYbvzTrseOdKWw3Auit55B+bPt7ddkn8TxiV/2RJFhQpFuvUlXe/eVqF+8OCgI3FhO+kkG4C+fr0NSncuSlStBFH9+tC5c9DRuPzyBCaeffCBjRnYti3oSGLGQQfZOoHPPw/LlwcdjQvbnXdaIu4vnouiTz+FWbOsDFGxYkFH4/LL68AUsojVgUlLgyZNYN48q8J0xRUFP2aC+O03O7O69Vaf1BJ3VG1ZgUMOCToSl8Bat4Zff7Wu5pIlg44m8XkdGLevDz6w5KVmTejaNehoYsohh0CXLra2iU9oiTMinry4qJoyBSZPturdnrzEN09g4pHq3sV/+vSBUqWCjScG9e9vE1oefzzoSFy+qFo7/8cfBx2JSzCDBtmA/6uuCjoSV1CewMSjCRNg+nT7FF59ddDRxKTGjeGcc/YuD+XizHvvwRln2Nz43buDjsYliDlz4MMP7W1VpkzQ0biC8gQmHqWXm+3ZE1JSAg0llg0YYKsrjBoVdCQubP/5j63t9fPP8PbbQUfjEsTgwVCuHNx4Y9CRuEjwBCbezJgBX37pn8I8OO44aNvWBvJu3x50NC4sJUrYIAWwNn+fbOAKaPFiq7x7ww2+Zmii8AQm3jRtCi+8YK0w/inM1R132PqAzz8fdCQubFdcAdWqwQ8/wBdfBB2Ni3NDh1pe3LNn0JG4SPEEJt6UKAGXXWarF7pctW0Lxx4LQ4bYwm0ujpQubcuMg68P4Qpk+XJ47jm48kqoXj3oaFykeAITT7ZsCTqCuCNiY2F+/dUWenRx5vrrbZ2vCRPgu++CjsbFqREjrHRWnz5BR+IiyROYePHHH1ZmtmdPHw8QpnPOgcMPtwF8/qeLMxUqWHXee++16oTOhWntWqsJdfHFXmIo0RQPOgCXR8OHw4YN8PffvuZRmJKS4PbbbYmBTz+12bkujtx+e9ARuDj21FOwaRP06xd0JC7SfCmBQpavpQTWrIHata0LadYsG8jrwrJjBxx6qJ3ET5gQdDQu39LSfOlgl2dbtths/GOPtfovLhi+lEBR9sQT9kk84wxPXvKpZEm47TaYOBGmTQs6GpcvI0fCYYfB778HHYmLE2PHwurVVpnbJR5PYGLd5s32jxv8U1hAV18NlSrZjCQXh6ZNs4UeR4wIOhIXB3buhGHD4IQToGXLoKNx0eAJTKwbPdpGoR1/PLRqFXQ0ca1cOZt9/s47sGBB0NG4sKWPhRk1ylfpdLl6/XVYtszO+3zYYGLyBCbWzZlj1/4pjIibb7byIsOGBR2JC1vTptC+vXWnPvlk0NG4GKZqLa1HHAEdOgQdjYsWT2Bi3ZgxMHs2nH120JEkhKpVrZjVuHE2M93FmfRu1Mcf97pILlsffwxz51qjnY/5Tlz+0saDJk38UxhBvXvbZBYfShGHWreGFi3gn38suXcuC4MHw8EHQ5cuQUfiosm/FWPVzJkwfXrQUSSkunWtqNWoUbZatYsjInsLerz3XrCxuJg0dSp8/bWtQlGyZNDRuGgKK4ERkfIicr6IPCEiU0RksYj8IyK/hH5/PLS9fLQCLjJ697bllF9+OehIElLfvjbB6+mng47Ehe3cc+H9962fwLlMhg2z2YZXXx10JC7a8lTITkSOBG4GugJlgJxGkyqwBXgJeEJV50UgzoSRp0J206bZ3L8KFazmRXnPB6PhjDOsLuCyZZCcHHQ0zrmCWrQIGjWy1Sfuvz/oaFy6QArZiciBIvIsMBu4GtgEvA70BE4HUoEGoev2QC/gDWAzcA0wW0RGi8iBkQ48oQ0datfpC9m5qOjXD1atguefDzoSl2/Ll8P8+UFH4WLEww9bt9HNNwcdiSsMObbAiMgGIAV4GxgDfKKqabkeVKQYcCbQAzgH2KiqFSMRcLzLtQUm/RSiZEkr2uVrv0eNqo0HXbcOFi6EYsWCjsiF5aOPrDupZUv46qugo3EBW7HCxrf16OFdw7EmqKUEvgKaqmonVf0oL8kLgKruVtUPVPV8oBkwsYBxFh3Dhtk3a7dunrxEmYhNs1y82IrbuThz0knW9zdhAsyYEXQ0LmAjR8KuXTZ80BUNvphjIcuxBeavv2y99507rUmgQYPCDa4I2r0bGjaEypXhu++8VmDcuf12S/o7d7bSq65I2rDB1rs9/XR/G8QiX8yxKCheHG68ES6/3JOXQlKsGPTpYyfwkyYFHY0L2623QokS8Oab1pTmiqRRo2D9+r2rTbiiIdxp1BXD2LdZ2NEUddWqwfDh8NxzQUdSpHTrZn/69LHTLo7UrAmXXmqVCYcPDzoaF4AdO6woZdu2kBrxc3wXy8JtgZktIsfltpOI3Ax8m7+QnCtcpUvDLbdYWZEffww6Ghe2Pn3seuxYm1bmipSXX7bed299KXrCTWBqA5NFJMthUqFCd+OBR4E8Dfh12CnEaadZafTdu4OOpki6/npISbFpmC7OHHEEdOxohX02bw46GleI0tJsCFSTJjb+xRUt4SYwPYCdwFAReV9EKqdvEJFjgVnA+cDPwAkRizLRvfoqfPGFNYH7KNJAVK4MV10Fr7ziizzGpTffhLfftkHwrsj4+GMrA9S3r//rLIrCSmBU9TmgBbAQOAuYJSItReQ24GvgEGAckKqq3hifF6p7B1/07euLNgaoVy97OR59NOhIXNiKFw86AheAoUNt0cYLLww6EheEsL8tVXU+Vnn3eeBgYBIwDNgF9FDVy1XV23Hz6uOP4aefbDCiL50aqDp14KKLbEbDunVBR+PCpmoF7bp3t4IgLqF99x1Mngy33WYT0VzRk6/TfVXdCowC1rN3XaT3gBcjFFfRMWyYXffs6UunxoC+fWHTJvjvf4OOxIVNFa67ztaGGD8+6GhclA0bBhUrWtevK5rylcCIyO1Ydd3y2NpI/wAXAd+ISO2IRZfoZsyAiRNtvaNrrgk6Ggc0bWqDAR97DLZvDzoaF5akpL0zktIrWruE9Msv8NZbcMMNULZs0NG4oIRbB6aKiHwIDAK2A5eq6sXYcgFfA8dh42LOi3ikiWjUKLu+7jpftDGG9O0LK1fCuHFBR+LCdvnlVtTnhx98faQENny4L9ro8lEHBlukcS7QXFVfAVDVv4C2wANABWC8iDwewTgT0xNPwLPPWjVRFzPatYNmzewkPs2LAcSX5OS932rp3bMuoaxaZSV/Lr/cl4sr6sJNYGoCzwDHqeovGTeoapqqDgROB1YBN0QmxARWqpQtnVqjRtCRuAxErBVm0SL44IOgo3Fhu+EGKFMGPv0U5swJOhoXYU88YaWzfNFGF24C00VVr1fVbEcHqOpXQFPgi4IEVlAi0lVEvhaR9SKySURmisiNIpLfcT9niMhnIrJWRLaIyDwRuVNESoV9sPXr4d9/8xOGKySdO0Pdur68QFxKL+oDvrxAgtm8GZ58Es45xxZhdUVbuHVgXsvjfn8DZ+QroggQkSeBl7Dp3l8DnwMNgCew7q1wx/7cDnyMdZP9AHwIVMO6zCaKSJmwAhwxwooXjBkT1t1c4Sle3OrCTJkCU6cGHY0LW69ecNddnoEmmDFjYO1aayF1TjTBRuqLyAXAeGAl0Cq9q0tEDgQmAI2Anqr6WB6PlwpMB7YCbVX1u9DtZbFEphXwqKr2ysvxUo85Rmf+/jusWWMzkFq3Duv5ucKzaRPUrg2nnGIzHpxzwdm1C+rXtx73KVOCjsaFQ0S+V9WIL7WZY0uEiERkdYlIHSePBoSu+2UcpxNqFbo+9Gv/MFph+mO1boakJy+h420CrsDWfLohzyt1r1ljlxYtoFWrPIbgglC2rA2neOcd+PnnoKNx+bZrF2zbFnQUroDefBOWLvXWF7dXbl/in4jIVyKSr2YCETlFRCZg3S9RJyK1gObADuCNzNtVdRKwHKgOHJ+H45XEZl2BdUllPt6vwFSgJPCfPAX599927Yt3xIWbb7bpmj6UIk69956dtvv6EHFN1SaVNWhg63Y6B7knMAOwcSRficjPInKXiJwQ+mLfj4iUFJETRWSgiPwCfAkcg7ViFIZmoeufQtWCszIj0745aQiUAdaq6pIIHM+qox12GJznpXLiwYEH2nTN557bm3u6OJKcbKftXpkwrk2cCN9/bzOPfLk4ly7Ht4KqDsEGvz4L1ALuA74BNojIAhH5RkQ+Cl0vADZgg2bvAWpgyw00UNXCKsiQvhTtshz2+T3Tvnk53u857BPO8cxtt0GxYnne3QWrd2+btvnEE0FH4sJ22mnQpIlVJnxpv0ZUFyeGDrX6hJdfHnQkLpbkmsuq6kpVvQZLYPoB07AxIQ2BE7HZRieGfgdLYG4DaoamXBfmeWt6UemcFpPcFLouF8DxbHpL9+552tXFhoYNbdrmU0/ZNE4XR0T2Li/w8MNemTAOzZ0Ln3wCt9xiDWoujqhGdUmPPDfGqepaVR2mqicBFYEWQAfgEuAs4FigoqqeoqqPquq6KMQbl0TkmlAdmplrDjzQimy5uNK3r03f9Jnvceiii6xswYIF8NFHQUfjwvTww5CSAtdfn/u+LsZ88AEcdVTUDp/v1ahVdaaqfqSqr6jqx6r6vaoGPdQ/vTUkJYd90ltVNhbW8VR1lKqmqmpqFa99HZdOPNEuw4fbpBYXR0qUsNXewZcXiDN//gkvvwxXXmn1CV2cGToUfvopaodPtOFQS0PXdXLY5+BM++bleDmtsB3O8Vwc69vXxoO++WbQkbiwXX01VKgA6TWYXFx47DHrgeiVpypbLqZMmwbffGOfuyhJtARmVui6sYiUzmafYzPtm5OFWAG7yiJyWDb7tAjjeC6Odexo0ziHDYtqt66LhnLl4Ouv4ZdfoEqVoKNxebB+PTzzzN5lPVycSW/tjGLfX9gJjIiUF5EBIvKFiMwXkV+zuWQ37ThqVPUPrNR/SaBzFrG3xgYjr8Tqt+R2vB3srWFzSRbHOxQ4Aas782G+A3dxISnJZiR9/71N63Rx5qijbBC9iwujRsHGjV64Li798gu8/bYV0brllqg9TLhrAh0M/IitAdQWOByom8MlCINC10NEpF76jSJSDXgq9OtgVU3LsO0mEVkoIi9kcbzBgAL9RKRFhvuUBcZgf8OnfNBy0XD55Tad05fYiWMrV8K77wYdhcvBjh1We7BdOzjmmKCjcWF75BFrpr7sMjjooKg9TLinIw9h40F+AIZgXSwbIh1UQajqeBF5Gls2YK6IfAHsBNoB5YF3sEUdMzoAmwa+MovjzRCR/tjz/VZEvgLWAa2xBR2/A+6MypNxMSc52U4o7rrLpndGcYC9i4ZVq+CQUMmmZcssG3Ux5+WX4a+/fNZfXNq5Ez791H7u3TuqDxVuF9Lp2Jd8G1V9Q1Xnquqy7C5RiDdPVPUGrMvnByzRaA8sBm4CLlDV3WEebyi2pMAEbAzN2cA/wF1Aa1XdErnoXay7/nqb1vnww0FH4sJWrRqceqqtjfTkk0FH47Kgap+to4+G0wtzFT0XGSVKWMmCjz+GRo2i+lBhrUYtIluBj1T1guiFlNhSU1N15syZQYfhCujWW62w3W+/Qa1aQUfjwjJ5sq0CX7myzUpKyalKgitsH30EZ50FL7xgPRAu/gWyGnUWlgIlIh2Ec/GmVy87U/Q1AuPQySfDccdZZcKxY4OOxmUydKjVHbz44qAjcWH7/ntYt67QHi7cBGYc0FpEfB6iK9Lq1oULL7SZEuvXBx2NC4vI3qktjzzilQljyIwZMGmS1R0s4afK8WXXLujUCWrXhnnzCuUhw01ghgDTgY9E5IgoxONc3Ojb16Z5PvNM0JG4sJ17LtSr55UJY8ywYVb37Oqrg47EhW38ePs8Va8e9bEv6cKdhfQZ1oV0LPCjiPyOrcac1QppqqrtChifczGrWTMbD/rYYzYmplSpoCNyeVasmC3y+N57cOihQUfjgCVLLJfs29fqDro4orq3cF3v3vb5KgThDuINZylXVdXCeRZxxAfxJpbPPoP27W265xVXBB2NC4uqdSe5mHDjjTB6tJ3ER7F0iIuGL7+0s7lq1ewFLL1vIfxoDeINtwWmTaQDcC6enXYaNGliJx/dulm1XhcnPHmJGatX20lAlOueuWhJr+x5yy37JS/RFFYCo6qTohWIc/FIBG6/HS65BD78EM4+O+iIXNimToXBg+H++634iCt0TzxhpXn69Ak6Ehe2OXOsKTolJarrHmXFzxedK6DOnaFOHV9eIG698oqNhUnvw3eFavNmS2DOOQcOPzzoaFzYdu6Eli3hqqustlIh8gTGuQIqUQJuu81Wjp+a6xKhLubcdpsNOnzlFVtewBWqMWOsJM/ttwcdicuX1FRb6T2AE4AcB/GKyBhsIcM7VPXv0O95pap6ZUEDTDQ+iDcxbd5s5Q9at4a33go6Ghe2Sy6xBXh69oQRI4KOpsjYtctms9eqZScALjFFaxBvbglMGpbANFLVn30WUsF5ApO4Bg6EBx6wZUAaNgw6GheW2bNtXnxKii0vUMhN4UXVK69A1662OHjHjkFH48Kydq1Nme7VK9exY0HNQkqfGLoi0+/OuUxuuslaUR95xCr0ujjStKmtHPjZZ/D003CnLzAfbao2buzww6FDh6CjcWF76il47jlYvtw+NwEIqw6MKzhvgUlsN9wAzz7rtSziUnoti1q17AUspGJcRdXnn1vO+Oyz0KNH0NG4sGzdajMXVq+GL76AdjnXrI2VxRyzJSL1ReQCEYl4kM7Fi969rV9/5MigI3Fha9vWms+mTfPkpRAMGWJJ/iWXBB2JC9tzz1ny0ry5fW4CElYCIyLni8hHInJcptv/D1gAvA58JyLjIhijc3HjsMPgggusF2LDhqCjcWERsRlJNWsGHUnC+/57a/Dq2dOX4Ig7u3bBww/bz7ffHmhByHBbYC4FWgFz028QkSOBe7H1kKYA64AuInJ+hGJ0Lq7062crVPsij3Fs927r23dRMWQIlC8P114bdCQubG++Cb/+uvdsLUDhJjDNgDmquiXDbZdiM5WuUtVW2EKPOwFfT9QVSc2bW5fwiBGwfXvQ0biwzZ9vI0vPPddGmrqIWrzYvgOvv95WnnZx5pFH7LpPn8C7WsNNYKoAmU9LWgObgJcBVPVX4BugcNbTdi4G9esHK1bAOO9MjT+HHGJNaDNnwldfBR1NwnnkEShe3FZwd3Ho5Zdt6nS3bkFHEnYCUwrY0+ElIiWBpsBUVd2VYb+VwIEFjs65OHXqqVZWZNgwSAunepILXunStigdWF+Hi5i//4axY+27z2fpxal69WD48EJdtDE74SYwK4AjMvzeCktqpmTaryzgQxhdkZW+yOOiRVaky8WZG2+EsmVtru8PPwQdTcIYORJ27PBFG+PSpk0x16UabgIzCThcRG4XkaOB+7HxL59k2u9I4M8IxOdc3OrUyXojhgyJuc+9y02lSnDNNfazt8JExMaNVvvs/POhQYOgo3Fhu+oqOOYYm0IWI8JNYB7ExrsMAmYBxwFfquqM9B1EpAFwKPBdpIJ0Lh4VL25nmt99B5MnBx2NC1uvXrZS5/jxsGRJ0NHEvVGjYN06Gx/m4szixfDGG/DTT3Bg7IwOCSuBUdWfgZOA54GPgXuAczLt1g6YA3wQgfici2tXXAFVq/pJfFyqVcuqrNWo4atUF9COHTYrr00bOPbYoKNxYXv4YRvMd+ml9rmIEb6UQCHzpQSKngcfhLvusvUCmzQJOhoXlrVrbSxMyZJBRxLXxoyBK6+ETz+15QNcHFmxAurWhZ0795YYCFPMLyXgnMvaDTfYd+DgwUFH4sJWubInLwW0e7e1QDZrBqedFnQ0LmyPPWZNaOedl6/kJZo8gXEuyipVsqJdr7/uQyni1po1cN99Vh/GheWdd+Dnn2HAgECrzrv8WL/e1kWBmBy85AmMc4WgZ08b1DtsWNCRuHy57DK4++69/8xdnqjCoEFQv77NPnJxZt48G8jeti20aBF0NPvxBMa5QlCjBnTvbkW8VqwIOhoXtp497XrECNi6NdBQ4smXX9qs29tvD7zqvMuPk06yAezPPht0JFnyBMa5QtK3ry3k+uijQUfiwnbaaTaIY9Uqy0JdngwaZBV3L7ss6EhcvqWk2CDeGOQJjHOFpF496NzZeiHWrQs6GhcWERvEAdYPuGtXzvs7pk+3paRuuw1KlQo6GheWXbus6uDGjUFHkiNPYJwrRP37761I6uJMegnZpUvh1VeDjibmDR4MFSvCtdcGHYkL22uv2XIap54adCQ58gTGuULUtCmccYZ1I23ZEnQ0LizFitlgDrBvZ1+lM1sLF9rso5tugnLlgo7GhSUtzfr+YO9yGjHKExjnCtmAAbB6tRX3cnHmssvgootsMK/PCc7W4MGQnLx3UW8XR95/35YMqFUr5gcveQLjXCE7+WQb3D90qNWHcnGkZEnrPjrtNE9gsrF0KYwbZyfvVasGHY0Liyo89JD93LdvzBdx9ATGuUImAnfeCX/8Yf/oXRzbuTPoCGLO0KGQlGQLmbo489VXNvr6gANs9ekY5wmMcwE44wyblTt4sJVad3Hmjz+gUyc466ygI4kpK1ZY12j37jG15p/Lq/TWl169oEyZYGPJA09gnAuACNxxB/zyC4wfH3Q0Lmxly8Jnn8Hnn8N33wUdTcwYPtwapdLHOrs4omqjrtu2tQXc4oAnMM4F5PzzbW20hx6y/x0ujlSqZNNMwZYbd6xZYzWOLr7Yah65OCNiCzZ++aXNf48DnsA4F5CkJJuR9OOP8OGHQUfjwtarF5QubbM25swJOprAPf44bN68t96fiyNxegblCYxzAerSxap0P/hg3P4PKbqqVYOrr7af08cOFFEbN8LIkXDOOXDkkUFH48J2+eXQowf8+WfQkYTFExjnAlSihI0XmDYNJkwIOhoXtr597UV84w1YtCjoaALz9NPw7782u87FmUWL4KWXbEpknJ1FeQLjXMCuuMIWvPOhFHGoVi2bclOsGHzzTdDRBGLrVhu8e+qpcOyxQUfjwpY+CO+KK+Dgg4OOJiyewDgXsORkq5nx1VcwZUrQ0biw3X03LF4MV14ZdCSB+N//4O+/4f/+L+hIXNh+/dVaX4oVg379go4mbJ7AOBcDrr3Wakfdf3/Qkbiw1awJdeoEHUUgtm2DIUOgVSu7uDiTXojq0kvh0EODjiZsnsA4FwNSUqB3b/j0UyuE6eJQWhq8/TYsXx50JIVm7Fj46y8YODDoSFzYfv8dnntub1GqOOQJjHMx4sYboXJleOCBoCNx+dKvnxX3GTIk6EgKxY4dtmjxCSdY7TMXZz77zKoOXnQRNGgQdDT54gmMczGiXDno2dPKisyaFXQ0LmyXX27Xo0ZZTf0E98ILtqLCwIG+rmVcuuoqmDcvrmcPeALjXAy5+WYoX95bYeLSUUdZC8z27TBsWNDRRNXOnTZ5JTUV2rcPOhqXb40bx+XYl3SewDgXQypWhFtvhbfespMjF2fSp+L89782NSdBvfwy/Pabt77EpVWr4Isv4q7mS1Y8gXEuxvTsaWsFeitMHGraFDp2tOIoDz8cdDRRsXu39To0bQodOgQdjQvbww/DaaclxJoPnsA4F2MqV7YBva+/DgsXBh2NC1t6K8xTT8Hq1cHGEgWvvWarqN91l7e+xJ1Vq+DJJ+3nTp2CjSUCPIFxLgb17g1lysB99wUdiQtbaqpV573nHnsRE8ju3faePPJIW7jYxZmHH4YtW6zpLDU16GgKrHjQATjn9le1Ktx0Ewwdame6RxwRdEQuLGPHBh1BVLz6qi2dM368rabu4kjG1pe77w42lgjxt6BzMapPHzuB9+q8cW737qAjiIhdu6z15eijvfUlLiVY6wt4AuNczDrgAJtW/dpr8NNPQUfjwqZqRe0OOywhxsK88gr8/LOdvHvrS5xJwNYX8ATGuZjWp48tM+BjYeKQCEyeDMuWxf2MpF27rCWwSRM499ygo3FhK1XKBtZ17ZowrS/gCYxzMa1KFbjlFnjjDa8LE5fuvdeun3giruvCvPyyzTzy1pc4VaGCnQW99FLQkUSUvxWdi3G9e1tdmPTvQhdHUlOtLsyWLTYiOw6lt740beqtL3EpLS3oCKLGExjnYlzlyladd/x4+PHHoKNxYbvnHrt+6qm4XCNp3DhYvNiehtd9iTMrVkDDhlYZOgEq72bmCYxzcaBXL1sjKf270MWRZs1s2s62bXG3UvXOndb60qyZNSS5ODNokGWfn32WkNmnJzDOxYHKlS2Jeftt+P77oKNxYUvPPKdPj6sm/eeeg19/teETCfj9l9h+/x2eecZeuATtf07IBEZEGorIOBH5S0S2i8gyEXlaRA7Kx7Hqiojmcrk4Gs/DuYx69bJEJr1SvYsjRx8N06bBlClxMwp22zZLXI4/Hs46K+hoXNgeeAB27ICLL7aV0hNQwlXiFZHWwMdAaeAHYDLQBLgOuEBEWqrqz/k49GZgfDbbfstPrM6Fo0IFuP126N/fvgdPOinoiFxYjjsu6AjC8swz8Oef1grjrS9xZskSqwadlJRQdV8yE02ggT0ikgIsBqoDN6vqExm2PQz0xpKaVM3jExeRuliCskxV6xY0xtTUVJ05c2ZBD+OKqM2brS7a4YfDhAn+xRKXfv0VvvwSrr466EiytXkzHHooNG4MX30VdDQubN26wQsv2JpcMbCshYh8r6oRL0ATH22ZeXcFlrxMyJi8hPQDlgDHAGcWdmDORUJKCtx5J0yaBF98EXQ0Lmz//mvN+dddB/PnBx1NtkaOtOKtDz4YdCQubNu2wcyZULw4DBwYdDRRlWgJzLmh6/2q9ajqbuDVTPs5F3euuQZq17ZEJoEaUIuGSpXs7DgtLWa/XNats5I1Z50FJ5wQdDQubMnJMGeOVYE+5JCgo4mqREtgmoWuZ2SzfUam/cKRIiIDROQZERkpIjeISK18HMe5AilVyr77ZsyA998POhoXtrvusi+ZN9+0M+UYM3y4JTEPPBB0JC7fihcvEtlnwiQwIlIeqBz6dVk2u/0eus5PWnoA8BBwDXAz8CTwq4g8KOIjEVzh6tYN6tWzGUlxNCvXAdSoYat0giUzMWT1ahgxAjp3tsq7Ls48/nhcFkvMr4RJYICyGX7enM0+m0LX5cI47nZgFHAaUBMoAxwFDAEUuAO4P6xInSug4sWttMOPP8Krr+a+v4sx/fpBuXLw6ac2oClGDBpkqx4kaNmQxDZxoi2c1ry5TZ8uAmJmFpKIDAXyU+uxnaouF5EawPLQbSVUdVcWj1Ef+BnYoaql8h/tnuOdDbwH7ATqqupf2ex3DdZyQ+3atZsvW5ZdA5FzeZeWBsccAxs2wMKFULJk0BG5sNx3n01xPflkG68QsGXLoEEDuPRSePbZoKNxYVG1LqPvvrO+vzvvDDqifURrFlIs1YGpATTMx/1KhK43ZbgtBVifxb7prTQb8/E4+1HV90VkFjam5lTghWz2G4W14pCamhobGaOLe0lJVpn+jDOsZkd6r4SLE716wW+/WXGfGDBwoL2nfLmKOPTOO5a8HHigLZxWRMRMF5KqXqqqko/L0tD9NwD/hg5XJ5uHOTh0vTSCoS8MXdeM4DGdy5PTT4c2bexkfsOGoKNxYSlXzmp0NGoUdCT8+CO8+KIlwQcfnPv+Lobs2gV33GE//9//2dL1RUTMJDAR8kPo+thstrcIXc+K4GNWCV1vynEv56JAxFph/vkHHnkk6Ghcvqla2duADBhglZ779w8sBJdfL7xgfciHHhrTxRGjIdESmHdD15dk3iAixYD0NYvejsSDiUh14OTQr9lN3XYuqo491maNPPIIrFwZdDQubKtX2ziY44+3EbSFbOJE+OgjS2IqV851dxdLdu3a2+d3//1FbiBcoiUwY4GVQBsRuTHTtsHAYVjry8cZN4hITRFZGLrUzLTt6sy3hW4/AhvAWxqYqqrTIvg8nAvLgw9aAc77fT5c/KlSxRKX5cvhsccK9aFVbUJUzZo+hiouFS9u9YSuv94WbSxiYmYWUqRkWszxe+AXbDHHRsA/QEtVXZTpPnXZuyDjIenjakLbZgNHA3NDx9qFJUJNsUHQC4HTVDVP7b++FpKLlhtugP/9DxYssBoxLo588QWcdhqUL28L8R1wQKE87JtvQqdONuuoR49CeUhXBPlaSHmkqpOwWUEvA7WA87HZR88AR2dOXvLgceAtIBloB1wAHAp8C/QEjslr8uJcNA0caC3I6eP5XBw59VRo395GYhfSAkQ7d9p75Ygj4PLLC+UhXSQtWRJ0BIFLuBaYWOctMC6a7r7bZiR9+22RqCSeWObMgWbNrFtg0aKor2PzxBPWbfTee3D22VF9KBdpv/ximeeZZ8Lbb0OxYkFHlCNvgXHO5apvXzjoICsx4ucmcaZJE6sil940EkX//mtjP9u2hQ4dovpQLhoGDLABvFWrxnzyEk2ewDiXQMqWtR6I776D114LOhoXtgcesPEvRx0V1Qz0wQdh7VqbueYrucWZb76xwUtlyhT5UfvehVTIvAvJRdvu3bYcyrp1Vh4iOTnoiFxYtm6F0qWjdvglS6z34ZJLYMyYqD2MiwZVm24/fbr1F8dJ2WTvQnLO5UmxYnZmvWxZoc/KdZGQMXmJwglm//42zOaBByJ+aBdtr79uyUv16tCnT9DRBM4TGOcSULt2NjDzwQdh1aqgo3Fh270bnnrKmtIiWNzum29g/Hir/VKjRsQO6wrDtm17SyXff3+RWjIgO57AOJeghg2z3og4aWV2mY0eDbNmRWyNiLQ06N3bitb17h2RQ7rCtHs3XHihJbVXXBF0NDHBExjnElTDhlag85ln4Kefgo7GhaVYMRgxwn4ePNiq9BbQK69Y78NDD0FKSoEP5wpbSootfDZtWpGeeZSRJzDOJbC777ZF+m65xadVx53WreH8860L6c47C3SoTZvg9tshNdVmars4s2PH3p+LFw8ujhjjCYxzCaxKFRus+dVXNvPSxZmhQ6288vPPw4z8rxf7wAPw119WvC7J/+vHlylTbG2Q8eODjiTm+FvZuQR37bVWI61370AWO3YFcdhhVpUQ4MYbbSBLmH7+GYYPh+7d4bjjIhuei7Ldu6359I8/4Mcfg44m5ngC41yCK1YMHn8cfv/dhlO4OHPXXTZlaPt2+PvvsO6qCj172sxsf+3j0Jgx8MMPUKuWTR1z+/AExrki4OSToUsX65H49dego3FhKVsWJkyA77+3dSLC8MEH8PHHNhbqwAOjFJ+LjnXr9i4pMWyYj7zOgicwzhURw4bZ+L/bbgs6Ehe2Bg3CHry5bZu1vjRqZIs2ujgzcCD884+dfVx0UdDRxCRPYJwrImrWtN6Id9+FTz8NOhqXLytWwGWXWbdCLh55xFrbRo6EEiUKITYXOT/8AE8+aSOuR470Bauy4QmMc0VIr15Qv76dkW/bFnQ0LmyPPQbjxuU6oHfpUqv3cv75cOqphReei5DNm6FOHRvA27Rp0NHELE9gnCtCSpWyE7tffvFBnXHpjjtsHZxp02xqdRZU4aab7KT90UcLNzwXISefbNUnfcGqHHkC41wRc9pp0LUrDBoEixYFHY0LS/ny8PDD9nPfvjZGIpO33oIPP7Tlcg4+uJDjcwWTsdpk6dI+cDcXnsA4VwQNHw5lysB113mF3rjTtaut1rlmzX6LGm3YsLfXwQfuxqErrrDms/Xrg44kLngC41wRdOCB1oU0cSK8+GLQ0biwiMB//wvJyfDCC/DFF3s23XWXjfN95hmvOB93JkywbsFnn82yZc3tzxMY54qoq6+GE06wk/g1a4KOxoWlXj2bZisCM2cCttLAE0/Y+N4WLQKOz4Vn2zZbeRVs3avDDgs2njgh6u3HhSo1NVVnhv7hOBe0uXPhmGPg8svtxM/FkZ07rbx88+bs2mVJy8qVsGCBLeDp4sidd9q0sYYNYc4cG22fQETke1VNjfRxvQXGuSLsqKOsBWbMGGvBdnGkRAlo3hyw2dWzZlnJEE9e4sysWTBkiLWmPftswiUv0eQJjHNF3MCB1mJ91VVWfsLFl59/hrvu2M3ZNWZywbm7gw7HhWPnTujRwxZtvOkmOOmkoCOKKz7MK8Zs2LCBVatWsXPnzqBDcTGoRIkSVKtWjfLly0fsmGXKWAtM69ZWZuSxxyJ2aBdlu3dDj+67Sd65kf/+1REZ2cfXiognW7faWg/r1lkXkguLJzAxZMOGDfz999/UrFmT0qVLI14+2mWgqmzdupXly5cDRDSJadXKpt2OHAmdOlkdLRf7nngCpkwtxvO9fqPGiBU2luI//4HDDw86NJcX5cvDyy/bKPqyZYOOJu54F1IMWbVqFTVr1qRMmTKevLj9iAhlypShZs2arFq1KuLHHzQIDjnEWrS3bIn44V2ELV4MAwbAWWfBZY80g+7dbTZL9+6wa1fQ4bmc7N4NO3bs/b1KleBiiWOewMSQnTt3Urp06aDDcDGudOnSUeliTEmxMYSLF1s9ERe70tLgyiuhZEmr+SICjBgBtWrBd9/ZSo4udj3+OBx7bJ4W5XTZ8wQmxnjLi8tNNN8jbdrADTfYGjpTpkTtYVwBPfUUTJ5sOUvNmqEbK1aE0aPt54EDYd68oMJzOfnpJ+jf36bA//ln0NHENU9gnHP7GDIEate2nohNm4KOxmX2yy/Qrx+ccYa9Rvto3x6uuQYOOADWrg0iPJeTHTvg0kth+3ZrQuvYMeiI4ponMC6qJk6ciIjwj5fGjhtly1pF8yVLoGfPoKNxGe3YYUshJSdbY0uWjXEPP2ytL61aFXp8LhcDB8Ls2XDoodZ85grEExgXVSeeeCIrVqygig9SiyutW1sr97PPwptvBh2NS3fPPbZywOjRGbqOMitXDipV2vu7F/eJDZMnw9ChkJRkC5CVKxd0RHHPExgXVSVLlqR69epxObZnR8ZZAkXQPfdAaqqtmeRd9cGbNMkW4LzqKjjvvDzcYedOm6Z01FFWZ8QFZ/NmW69D1V6TE08MOqKE4AmMK7DJkydz/PHHU7ZsWSpUqECLFi2YFxpAmLkL6bnnnqNs2bJ8+eWXHHnkkaSkpNCmTRt+++23fY75/vvv07x5c5KTkznkkEO48847c00opk2bRtu2bUlJSaFChQq0bduWv/76C4BTTjmFm266aZ/9u3fvTocOHfb8fsopp3D99dfTp08fqlatykknnUTXrl254IIL9rlfWloaBx98MMOHDwesPsvQoUM57LDDKF26NEcddRTjxo3Lx18ytpQsaSUqtm+Hbt1s5osLxr//wmWX2RqOee55ULWVqn/7Da691n53wShTBu6+G045xa5dRHgCE+tEsr+MGrV3v1Gjct43o+bN87ZfHuzatYtzzjmHli1bMmfOHL777jt69uxJsWLFsr3P9u3bGTRoEGPGjGHq1KmsW7eO6667bs/2Tz/9lEsuuYSbbrqJn376iTFjxjB+/HjuuOOObI85Z84c2rRpQ7169ZgyZQrTpk3joosuYleY9TDGjRuHqvL111/zwgsvcOmll/Lhhx+yfv36PftMmjSJFStW0KVLFwDuuusunn32WZ588knmz5/PgAEDuPbaa/nwww/DeuxYVL++Fbf76isI5WuukKnCddfBihXw0kth1DsrWRJeecXu8PrrMHZsVON0ORCBK66wD1KJEkFHkzhU1S+FeGnevLlmZ/78+fvfaP+/sr4888ze/Z55Jud9MzrmmLztlwdr1qxRQCdOnJjl9gkTJiigq1evVlXVsWPHKqALFy7cs8+4ceO0ZMmSmpaWpqqqJ598st533337HOftt9/WlJSUPftk1rVrVz3++OOzjbN169Z644037nNbt27d9Kyzztpnn6OOOmqffXbu3KnVqlXT0aNH77ntyiuv1NNOO01VVTdt2qTJyck6efLkfe5366236plnnpltPAWV5XslStLSVM8/X7VECdUZMwrtYV3I2LH20XzooXwe4IUX7ABlyqguWBDJ0Fxu5s9XnTcv6CgCB8zUKHyfegtMrMspLbnmmr37XXNNzvtm9P33edsvDypXrkz37t1p3749Z511FsOHD+f333/P8T6lSpWiYcOGe36vUaMGO3bs4N9//w2F9z0PPvggZcuW3XPp2rUrmzdvZuXKlVkec9asWbRt2zbs+DNrHlrdN13x4sW56KKLeOmllwBrPXrzzTe59NJLAZg/fz7btm3jjDPO2Cfep59+miVLlhQ4nliQ3thXvTp07uyzcwvTnDlw/fVWn+f22/N5kMsus6m7W7ZAly5WrddF36ZNcMEFVrBu8uSgo0lInsC4Ahs7dizfffcdrVq14r333qNhw4Z8+umn2e5fvPi+S3ClD/BNCw2ySEtL4+6772b27Nl7Lj/++CO//PILVatWzVeMSUlJaKYELatqtikpKfvddumllzJp0iSWL1/Ohx9+yI4dOzj//PP3ifn999/fJ96ffvqJzz77LF+xxqIqVWD8eFi+3L4PfTxM9K1bZ99/lStbT1AOvbK5e/JJW3J89mwbne2iS9UqQi5YAHXrWre9izhfzNFFRJMmTWjSpAn9+vXjzDPP5Pnnn6d9+/b5OtYxxxzDwoULqVevXp7v06xZM7766qtst1etWpUVK1bsc9ucOXOoW7dursdu0aIF9erV45VXXmHq1Kmcc845lA0NRDjiiCMoVaoUy5Yti0gLUCxr0cIq9N54oy2c68sNRI+qFalbtgwmToQDDyzgAcuXhzfesDokffpEIEKXozFjbKp0mTKW+WdxYuQKzhMYVyC//fYbzzzzDB07dqRmzZr8+uuv/Pjjj1x//fX5PubAgQPp0KEDderU4cILL6R48eLMmzeP6dOnM3To0Czv07dvX44//niuueYabrzxRpKTk/n66685/fTTqV27Nm3btqVnz557WoieeeYZ/vjjjzwlMACXXHIJo0ePZunSpbz11lt7bi9Xrhx9+vShT58+qCqtWrVi06ZNTJs2jaSkJK7J2M2XAK6/Hr791r4HjzsOTjst6IgS07Bh8O67NuPopJMidNBmzeD99yN0MJetOXMgfcbj00/DEUcEG08ii8bAGr9EcBBvjFu5cqWed955WqNGDS1ZsqQefPDB2rdvX92xY4eqZj2INyUlZZ9jZN5HVfXTTz/Vli1baunSpbVcuXLavHlzffzxx3OM5euvv9aTTz5Zk5OTtUKFCtquXTv966+/VFV1x44desMNN2iVKlW0SpUqOnDgwCwH8WYe6JtuyZIlCmi1atV0586d+2xLS0vTkSNHaqNGjbRkyZJ6wAEH6KmnnqqfffZZHv+K4QvyvbJpk2rjxqoHHKD6+++BhZGwJkxQTUpS7dzZBlBHxc6dqvfeq7pyZZQeoIhatUq1Th0bUdijR9DRxAyiNIhXNB8DN13+paam6syZM7PctmDBAho1alTIEbl4FPR7ZdEiK3LXqJEVWPNF1CPj99+tq65iRZg+3Xp+oqJ3b5sXf8op8PnnUNwb4yPiq6/g7LOhcWP/YGQgIt+ramqkj+uDeJ1zYWvY0Lr4Z860sRo+qLfgNm6EDh1g61Z4660oJi9gCUz16jbApm/fKD5QEdO2rS3j/s47nrwUAk9gnHP5cu65Vtr+9dd9YktB7d5tM5znz7extlEfNlGjhj1Q8eI2MvvJJ6P8gAlu9eq9Pzdtan9fF3WewDjn8q1vX+jRA+6/HxJg9YTA9OkDH34Ijz8Op59eSA/asqWtCglwyy3wwQeF9MAJ5rPPbKr0iy8GHUmR4wmMcy7fRGyixSmnwJVXWuu5C89//2uNILfearO8ClW3brY2T1oaXHSR1Ylxeffjj3DhhVYkcNGioKMpcnzklnOuQEqWhDffhOOPt26lqVNt0UGXu88+sxm3//kPPPJIQEHcfTf8+iusWgWHHhpQEHHot9/gjDNg/XqrOHjffUFHVOR4C4xzrsAqV7YeCFWrDfPnn0FHFPu+/RbOOw+OPBJefbWAlXYLQsS6kt5/P8ojhxPI339bX9+KFbbOw7hxkORfp4XN/+LOuYho0AA++QTWrLEkJuO4Rrev2bOt1aVmTfj0UyhXLuCASpbcu0ry9u1w552wYUOwMcWqDRvgzDNh8WIrDvjOO5CcHHRURZInMM65iElNtZaYpUuhfXtrXXf7WrTITt7Ll4cvvojAMgGRduuttlbEWWfZgoRuX7/8AkuWWD/pxx97q1WAPIFxzkVUq1Y2JmbuXKtrsmVL0BHFjmXL4NRT7ecvvoDatYONJ0v9+kGtWvDNN9CxoxWmcXs1b25F6j77LAazz6LFExgX05YuXYqIkF31Yheb/vMfeOklG+dxzjmweXPQEQXv998tedm40b77GjQIOqJsHHKIVZStXh0mTLCBOtu3Bx1VsDZvthctXdOm9ndygfIExsW0gw8+mBUrVtC0adOgQ3FhuvBCePZZ+y4s6t1JP/9sZVdWrbJeh5h/O9evD19+CVWr2iCd884ruk1pGzdaRn7mmVYi2cUMT2BcTCtWrBjVq1eneByu1bJjx46gQwhc9+42w2b6dJussWpV0BEVvjlz4OSTYds2q9x/wglBR5RHRxxh/VxVqljWNWRI0BEVvvXrLfuePNlapHxl6ZjiCYwrMFXlkUceoX79+pQqVYpatWoxYMCAPdvnzp3LqaeeSunSpalcuTLdu3dnfYbT8blz59KuXTvKly9P2bJladKkCRMmTAD270KaOHEiIsKXX37JcccdR5kyZUhNTeWHH37YJ6Zvv/2W1q1bU6ZMGWrWrMn111/PhlxmVSxcuJCOHTtSoUIFypYtywknnMDcuXMB6N69Ox06dNhn/3vuuYcjjzxyz+/p+wwZMoRatWpRq1Yt7rjjDpo3b77fY5144onccsste34fO3YsRxxxBMnJyTRo0IARI0aQliALDHXuDO+9BwsX2viYojTFeupUK/JXsqR9BzZrFnREYTr6aBsLc+mlkOEzXSSsXAnt2tmLWLu2vYCHHx50VC6D+DutLUJ69iz8wphNm1pV0HDccccdPP300wwfPpxWrVqxevVqZs2aBcDmzZtp3749LVq0YPr06axdu5arr76aHj168OabbwLQtWtXmjRpwvTp0ylevDhz584lOZdpiQMGDGDIkCEcdNBB3HrrrVxyySXMnz8fEWHu3Lmcfvrp3HvvvYwePZq1a9fSs2dPevTowfjx47M83l9//UXLli056aST+Pzzz6lYsSLTp09n9+7dYf0tJk2aRIUKFfjkk09QVYoVK8agQYNYuHAhh4f++f36669MnTqVR0N/6P/9738MHDiQxx9/nObNmzNv3jyuvvpqSpQowU033RTW48eqM86wnogOHawr5ZNPEv+74JNPoFMnOOgga8ioUyfoiPLp8MP3LZO/ZQssX27dTIlqzhxbVfqPP6y431dfxfELmLg8gXEFsmnTJkaMGMGjjz5Kjx49AKhXrx4nhNrJX375ZTZv3syLL75IuVCxi1GjRtGmTRsWL15MvXr1WLZsGX369NnzBV8vD2Vc77//ftq0aQPAwIEDadmyJcuXL6dWrVoMGzaMiy66iN69e+/Z/+mnn6ZZs2asWrWKatWq7Xe8J598kpSUFN544w1KliwJQIN8jLJMTk5mzJgxlCpVas9tzZo146WXXuL+++/f8zdp0KABLVq02PNchg4dSqdOnQA45JBD6N+/P0899VTCJDBg3SgTJthQguOOs0G+mRq1EoKqVdXt1w+OOsoSmerVg44qQnbutMFNU6faKp7t2gUdUeTt2mWZ5x9/WH/fO+9AFv8zXPA8gYlh4baEBGH+/Pls376ddtn8I1uwYAFHH330nuQFrPskKSmJ+fPnU69ePW677Tauuuoqnn/+edq1a8cFF1ywJ5nJztFHH73n5xqhlV9XrVpFrVq1+P7771m8eDGvvfbann1UFYAlS5ZkmcDMmjWLli1b7kle8uvII4/cJ3kBuPTSS3nyySf3JDAvvfQSl1xyCQCrV6/mjz/+4Nprr+X6DAvh7Nq1a0/MieSYY2DmTFtyoGNHePBB6N/fisEmgq1b4eqrLTnr1Ameew5SUoKOKoJ27bKKs2vXWjGbhx6C229PnBcQbIXul16yRaqeesqL1MUwHwPjAiOhf3r33HMP8+fP59xzz+Xbb7/l6KOPZsyYMTnet0R61dAMx0kfM5KWlsZVV13F7Nmz91zmzJnDL7/8ku/ZTElJSfslFDt37txvv5Qsvq26dOnCsmXLmDp1Kj/88AMLFy7k0ksv3Sfm//73v/vEO2/ePH766ad8xRrrDj4Yvv4aunSBO+6w60SYZv3nn9bK9NJL8MAD1kCRUMkLQOnS8PbbVqk3Lc2yzwsuiP8pZuvX77uceosWMGaMJy8xzhMYVyCNGjWiVKlSfPnll9lunzt3Lhs3btxz27fffktaWhqNGjXac1v9+vW55ZZb+PDDD7nyyisZPXp0vmM65phj+Omnn6hXr95+l9KlS2d5n2bNmvHNN99kO3OoatWqrFixYp/bZudxgNJBBx1E27Zteemll3jppZc44YQTODS0aN6BBx5IjRo1WLJkSZbxJqoyZez7YuhQ+6I//ngbdhCv3n/f6pv9/DO8+659vydSo8Q+ihWzDO2996BCBUtojj3WKhfGo2+/tcF/l10GH34YdDQuDJ7AuAIpV64ct956KwMGDGDs2LEsWbKE6dOn8/TTTwNwySWXUKZMGS6//HLmzp3L5MmTufbaazn//POpV68eW7du5cYbb2TixIksXbqU7777jm+++YYjCjBdsV+/fkyfPp3rrruOWbNmsXjxYj744AOuvfbabO9zww03sGnTJi688EJmzJjB4sWLeeWVV/YkKW3btmXWrFmMGTOGxYsXM3ToUKZMmZLnmC699FJee+01Xn311T2tL+nuvfdehg4dyogRI1i0aBHz5s3jhRdeYNCgQfl6/vFCBPr2tRm6//xj34EPPmi9FPFi/Xq44grrDjvoIJg2zX4uEs4+2/oDjz7ayuu//nrQEYVn1y64916bGrd0qfVvJvBJQ0JSVb8U4qV58+aanfnz52e7LZbt3r1bBw0apIcccoiWKFFCa9WqpXfcccee7T/++KO2bdtWk5OTtWLFitqtWzddt26dqqpu375du3TponXq1NGSJUvqQQcdpFdffbWuX79eVVV/++03BXTGjBmqqjphwgQFdPXq1XuOn3kfVdUZM2Zo+/bttVy5clqmTBk98sgj9f/+7/9yfB7z5s3TM888U1NSUrRs2bJ6wgkn6Ny5c/dsv/vuu7V69epavnx5vf7663XAgAHauHHjPdu7deumZ511VpbH3rhxo5YpU0ZLlCih//zzz37bX375ZW3WrJmWKlVKK1asqCeddJK+8sor2cYar++V7Pzzj+pFF6mCaosWqgsXBh1R7r74QvXgg1WTklTvvFN1+/agIwrI5s2qAweqbtu297aNG4OLJy9++EH1+OPtDQeqffsW4Rcw+oCZGoXv08C/0CP6ZCAFuAR4FJgCbAYU+CACx24IjAP+ArYDy4CngYPCOU4iJjCu8CXqe+XVV1UrV1ZNTla9++7Y/B7880/VK66w/54NGqhOmxZ0RDFmzRrVGjVUe/dWDZ2oxJQ33lAVsRewRg3LRF1URSuBSbQupPpYknErcCJQJhIHFZHWwCwsOVoBvA1sAa4D5ohIrK5q4lxcuegimDfPeifuvdda9J95Jja6lTZsgLvusvIn48ZBnz4wa5ZNCXcZfPGFFYF75BFbL2jw4OBHaWuGAfinnQY1a0KvXvDTT4k5FbyISLQEZiMwBrgBOA5LMApERFKAV4HSwM2q2lxVL1bVRsAjQFXgFZGEHbLnXKE66CAbTjF1qiUL111n9VTGjw8mkdm0CR5/3JKpBx+0KeCLFsGwYTYY2WVy4YU2GKhVK/j3X6vge+ihVheisFe2/vdfGynepMneJKpCBXsBhw+HihULNx4XUQmVwKjqElW9UlWfVtXpWFdPQV0BVAcmqOoTmbb1A5YAxwBnRuCxnHMhxx9v1dvfecdOoDt3thP6Bx6wE/xoW7AAbrnFTtZvucWWwZk+HV5+2RciztWxx9rCT599ZlOSV62yFo9QscuoW7wYbr3V5uz362czpDJW4fbMMyEkVAITJeeGrl/KvEFVd2OtMxn3c85FiAicc451K73zDjRqBP/3f/a9dNFF8MYbdpIdKX/8AaNHQ9u2lrA884x1Z33zjVURPvbYyD1WwhOx7ppp02zKdWqqvWjppk2zVpC5c62mTEGpwn332ZTo+vVh5EhrdTntNJvqdvnlBX8MF1O8Em/u0pdfm5HN9hmZ9isQVcV7o1xONGN/fhFRvLglMuecY7VW/vtfq3L7+utWGPbYY23R4Fat7LurVi27PSc7d9rs2UWL4Msvba2mBQtsW926MGiQNRh4FfkCErEs8Oyz9x2L8vjj1pwFUKmSVQFs1cqmZR96KBx2WNbH270bfvvNstq5c+G226xioIiNv5kzB8qVswJ7vXrZ8VxC8gQmByJSHqgc+nVZNrv9HroucKNyiRIl2Lp1K2W8edPlYOvWrftUIi5qGjSwE/ehQ61L59NP7XL//Xu/H0uVsu/AQw+14rEZrV8PS5bAsmX2XZi+f6tWcOWVlgg1bpzAheiClPGPmt4aM3mylTF+7z27gBXTefdd+3nBAmsS27rVLpmLTZ55prXuAAwcaAOl2rSxF9UlNE9gclY2w8/ZDaPfFLoul812ROQa4BqA2rVrZ/tg1apVY/ny5dSsWZPSpUt7S4zbh6qydetWli9fzoEHHhh0OIErXhxOPNEu995ry/P88IMlJ0uW2DCI337b//suJcWGZXTtaif59epZDTM/byhkHTvaRdWyycmTbY2JJUusrHG6pKT9Bz3VrGkju488ct+BuKeeWiihu9ggsdIcLSJDgfzUsGynqsuzOWZ3YCzwoaqGve6tiNQA0o9dQlX3mwMhIvWBn4Edqppryp+amqozZ87MdvuGDRtYtWpVluvsOFeiRAmqVatG+fLlgw7FucKxaxesXm3rEpUubS0rfnIXV0Tke1VNjfRxY6kFpgZWLC5c0WxL35Th5xQgqxXL0ltpNmaxLWzly5f3LyfnnEtXvLjNrXcuk5iZhaSql6qq5OOyNIoxbQDS5zjUyWa3g0PXUYvDOeecc/uKmQQmhv0Qus5uAmWL0PWsQojFOeecc3gCkxehofBcknmDiBQDLg79+nahReScc84VcZ7AACLSQkQWisjCLDaPBVYCbUTkxkzbBgOHYa0vH0c5TOecc86FxNIg3ogQkbeB9BFfVUPXJ4nItAy73a+qH2b4vQzZDCBW1U0icjGWoDwhIlcAvwBNgEbAP0AXjZXpXM4551wREDPTqCNFRJaS/YDbdFeo6nMZ7nMKMAFAVbOcnyciDYGBQDugEvA38BFwr6quCCO+jcCivO7vYsoBWMLq4pO/fvHNX7/41VBVs62Vll8Jl8DEOhGZGY358C76/LWLb/76xTd//eJXtF47HwPjnHPOubjjCYxzzjnn4o4nMIVvVNABuHzz1y6++esX3/z1i19Ree18DIxzzjnn4o63wDjnnHMu7ngCUwhEpKuIfC0i60Vkk4jMFJEbRcT//s455+KGiJQQkXYi8kjou2yDiOwQkeUiMj5UlqRwYvEupOgSkSeBG4BtwJfATqyWTDls+YFOqpoWXITOOedc3ojIqcDnoV9XAt8Dm4EjgCNDt9+vqgOjHYu3AESRiFyAJS8rgaNVtYOqngfUBxYA5wE3Bxiiy4GIfCAimsPl4tyP4pzLjYicLyLfiMg/IrJNRJaIyMMiUiHo2Nx+0oA3gVaqelDoe+0iVT0KWxtwN/B/ItIm2oF4C0wUichMoDnQTVVfyLStNTARS25qeitM7BGRo7ElJCYBI0M3nw7cC5wKTFPVzQGF51zCEJGrgEOBmcBa4GjgHmCmqp4eYGguTCIyGrgSGKOqV0bzsRJuLaRYISK1sORlB/BG5u2qOklElgM1geOBbws3QpcHPwMHAhNUdRqAiHQAVqjql4FG5rIlIjWBP8O4y42q+lS04nG5U9XRmW6aKCLbgGdEpIaq/hVEXC5fZoWua6XfEK3PpCcw0dMsdP2Tqm7NZp8ZWALTDE9gYtERQDFgbobbjs70u4s9VYHngU5ACtbcvSnD9kZACyxBnQp8VtgBujxJX/eoJFiXLnBWDvt3UdVXox6Vy0390HXGNQKj8pn0BCZ6DgldL8thn98z7etiy1GAAvMy3NYEGB9MOC4vVHW2iFwLXIINmu+qqjvSt4vIo9g/y+dUdVAwUbqsiEgxoATQGFs89z1VXRrafAd2spdtl26hBuv2IyLVge6hX99Mvz1an0kfxBs9ZUPXOY2RSM9AI75Kp4uIo4DfVHUTgIhUBGrjLTDx4EjsBG1Bxn+UIceErmcXakQuL9YAW7GxMCuArhm27dOlG+rWLUmoS9fHowVLRIoD44AKwJeq+n6mXSL+mfQExrnsHcm+yUr6FEFPYGJf09D17Iw3iohkt83FhFOAk4BrsVaY90OtMuBdurHuv1iJkD+AS7PY3jR0PTvjjQX5THoCEz3prSspOeyT3kqzMcqxuPw5in3/OR4cuv43gFhceJqGrmdnur0B1uL5t6quwMUUVZ2tqt+q6iiszESb0DVk36U7DxcoEXkMm3m0Eminqiuz2K1p6Hp2ptvz/Zn0BCZ6loau6+SwT/oX4tIc9nEBEJHKQA32TWDmYQMLp4nIgYEE5vKqaeh6VqbbvfsofszGao7UC/3uXboxSEQeAW4BVmPJyy/Z7No0dB2xz6QP4o2e9BepsYiUzmYm0rGZ9nUxQlXXApLptrnYaHoXw0JN0k1Cv87OtNkTmPhxAnaS/Wvod+/SjTEiMhS4DRu7dKqqzs9mv6h8Jr0FJkpU9Q/gB2yQWefM20OF7GphTW5TCzc65xLaYViT9DJVXZdpW3p5g9mFGZDLmYh8KiK3i8hZoXV2emOz/X4E3gnt5l26MUREBgN9sb//aar6Yw67R+Uz6QlMdKVPBxsiIunNoIhINSC9SM9gr8LrXEQ1DV3PzmJbo9B1lmeKLjDTsYGfr2IJS3dsUOjJqrrDu3Rji4g8APQD1mHJS269CE1D17Oz2Jbvz6R3IUWRqo4XkaeB64G5IvIFexdzLI99UJ8ILkLnElLT0PXsLLalD5zvJCIlVXVmoUTkcqSq/wf8Xw7bvUs3RohIR+DO0K+LgZuth2g/C1V1cOjnpqHr2Vnsl+/PpCcwUaaqN4jIN8CNQGtsGuBCYAzwtLe+xCYRyfMiYaqa5afXBaZp6Hp2FtvSV4e/jb31RpxzeVc5w8+poUtWJgF5SWDy/Zn0xRydc845F3d8DIxz2RCRziLyjoj8ISKbReRHEbleRPxz45xzAfMuJOey1xtby6ov8DdWVGskcGjoNudcAYXTXZtX3q1bNHgXknPZEJGqqro6023DsUHZFVV1ezCROeec86Zw57KROXkJmQUks+9ANudchHkXrsuNdyE5F56TgbXAqqADcS7BeReuy5F3ITmXRyKSilVNvldVHwg6HucSmXfhutx4U5xzeSAi1YE3sYqhQwIOx7mE5124LjeewDiXCxGpAHwMbAE6qurOgENyrqjyLly3hycwzuVARJKB94BqwBmquibgkJwrkkJduFcAI1R1d9DxuOD5GBjnsiEixYG3sLO+1rmstuqci5JQF+53wJ/AKd4K6sBnITmXkyeBs4HbgTIicnyGbfNVdUMwYTlXdHgXrsuOt8A4lw0RWQrUyWZzG1WdWHjROFf0hLpwPwXqASeq6rKAQ3IxxBMY55xzMce7cF1uvAvJOedcLPIuXJcjb4FxzjkXc7wL1+XGExjnnHPOxR2vA+Occ865uOMJjHPOOefijicwzjnnnIs7nsA455xzLu54AuOcc865uOMJjHPOOefijicwzjnnnIs7nsA455xzLu54AuOcc865uOMJjHPOOefijicwzrmEIyL/FREVkU9FRLLY/lxo+/tZbXfOxT5fC8k5l3BEJBmYBjQB7lDVQRm2dQfGAn8ATVV1bSBBOucKxBMY51xCEpEGwPdAMnCKqk4RkSOAGUDJ9NuCjNE5l3/eheScS0iq+jNwLVAceFVEDgZeB8oAd3ny4lx88xYY51xCE5FRwNXAeqAC8AnwH/V/fs7FNU9gnHMJLTQeZiFQB1gFNFbVf4KNyjlXUN6F5JxLdK2A2qGfKwP1A4zFORchnsA45xKWiBwEvAgINvMofTxMpUADc84VmCcwzrmEJCJJwEtANeAxVe0BvIC1xowNMjbnXMF5AuOcS1QDgTbATOD20G03YONhzhGRW4MKzDlXcD6I1zmXcESkDfAFsAlopqq/Zth2FDAdO4E7SVVnBhOlc64gvAXGOZdQRKQa1nWUBFydMXkBUNW5QE+smN1rIlK+0IN0zhWYt8A455xzLu54C4xzzjnn4o4nMM4555yLO57AOOeccy7ueALjnHPOubjjCYxzzjnn4o4nMM4555yLO57AOOeccy7ueALjnHPOubjjCYxzzjnn4o4nMM4555yLO/8PfMpVs/gw1gIAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.rcParams.update({'font.size': 22})\n",
"\n",
"fig = plt.figure(figsize=(8,6))\n",
"ax = plt.subplot(1,1,1)\n",
"plt.plot(x, y, color='red', linewidth=2, linestyle='dashed', label='sine curve')\n",
"plt.plot(x, np.cos(x), 'b-', label='cosine curve')\n",
"plt.legend(loc='best', fontsize=14)\n",
"plt.axis([0, 2*np.pi, -1.05, 1.05,])\n",
"plt.xlabel('x')\n",
"plt.ylabel('sin(x)')\n",
"plt.xticks([0,0.5*np.pi,np.pi,1.5*np.pi,2*np.pi], \n",
" [0, r'$\\frac{\\pi}{2}$', r'$\\pi$', r'$\\frac{3\\pi}{2}$', r'$2\\pi$'])\n",
"plt.title('Sine and Cosine Plots')\n",
"plt.text(0.45, 0.9, 'Empty space', transform=ax.transAxes, ha='left', va='top')\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.random.randn(100)\n",
"plt.hist(x, bins=25, histtype='step', density=True)\n",
"mu, sigma = stats.norm.fit(x)\n",
"xp = np.linspace(*plt.xlim(), 100)\n",
"plt.plot(xp, stats.norm(mu, sigma).pdf(xp))\n",
"plt.xlabel('x')\n",
"plt.ylabel('Density')\n",
"plt.title('MLE fit for normal distribution', fontsize=14)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Layouts"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2,2,figsize=(8,8))\n",
"axes[0,0].plot(x,y, 'r')\n",
"axes[0,1].plot(x,y, 'g')\n",
"axes[1,0].plot(x,y, 'b')\n",
"axes[1,1].plot(x,y, 'k')\n",
"for ax in axes.ravel():\n",
" ax.margins(0.05)\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n",
"ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n",
"ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n",
"ax4 = plt.subplot2grid((3,3), (2,0), colspan=2)\n",
"axes = [ax1, ax2, ax3, ax4]\n",
"colors = ['r', 'g', 'b', 'k']\n",
"for ax, c in zip(axes, colors):\n",
" ax.plot(x, y, c)\n",
" ax.margins(0.05)\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Seaborn\n",
"\n",
"Seaborn is a library for statistical visualizations. "
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"sns.set_context(\"notebook\", font_scale=1.5, rc={\"lines.linewidth\": 2.5})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Density plots"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"xs = rng.normal(0,1,100)\n",
"\n",
"fig, axes = plt.subplots(1, 2, figsize=(8,4))\n",
"sns.distplot(xs, hist=False, rug=True, ax=axes[0]);\n",
"sns.distplot(xs, hist=True, ax=axes[1])\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Kernel density estimate"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot(np.r_[rng.normal(0,1,50), rng.normal(4,0.8,100)])\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"iris = sns.load_dataset('iris')"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" sepal_length \n",
" sepal_width \n",
" petal_length \n",
" petal_width \n",
" species \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 5.1 \n",
" 3.5 \n",
" 1.4 \n",
" 0.2 \n",
" setosa \n",
" \n",
" \n",
" 1 \n",
" 4.9 \n",
" 3.0 \n",
" 1.4 \n",
" 0.2 \n",
" setosa \n",
" \n",
" \n",
" 2 \n",
" 4.7 \n",
" 3.2 \n",
" 1.3 \n",
" 0.2 \n",
" setosa \n",
" \n",
" \n",
" 3 \n",
" 4.6 \n",
" 3.1 \n",
" 1.5 \n",
" 0.2 \n",
" setosa \n",
" \n",
" \n",
" 4 \n",
" 5.0 \n",
" 3.6 \n",
" 1.4 \n",
" 0.2 \n",
" setosa \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width species\n",
"0 5.1 3.5 1.4 0.2 setosa\n",
"1 4.9 3.0 1.4 0.2 setosa\n",
"2 4.7 3.2 1.3 0.2 setosa\n",
"3 4.6 3.1 1.5 0.2 setosa\n",
"4 5.0 3.6 1.4 0.2 setosa"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"iris.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Joint distribution plot"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x='petal_length', y='petal_width', data=iris, kind='kdeplot')\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Box and violin plots"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(8,4))\n",
"\n",
"sns.boxplot(x='species', y='petal_length', data=iris, ax=axes[0])\n",
"sns.violinplot(x='species', y='petal_length', data=iris, ax=axes[1])\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Composite plots"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"url = 'https://raw.githubusercontent.com/mwaskom/seaborn-data/master/titanic.csv'\n",
"titanic = pd.read_csv(url)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" survived \n",
" pclass \n",
" sex \n",
" age \n",
" sibsp \n",
" parch \n",
" fare \n",
" embarked \n",
" class \n",
" who \n",
" adult_male \n",
" deck \n",
" embark_town \n",
" alive \n",
" alone \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 0 \n",
" 3 \n",
" male \n",
" 22.0 \n",
" 1 \n",
" 0 \n",
" 7.2500 \n",
" S \n",
" Third \n",
" man \n",
" True \n",
" NaN \n",
" Southampton \n",
" no \n",
" False \n",
" \n",
" \n",
" 1 \n",
" 1 \n",
" 1 \n",
" female \n",
" 38.0 \n",
" 1 \n",
" 0 \n",
" 71.2833 \n",
" C \n",
" First \n",
" woman \n",
" False \n",
" C \n",
" Cherbourg \n",
" yes \n",
" False \n",
" \n",
" \n",
" 2 \n",
" 1 \n",
" 3 \n",
" female \n",
" 26.0 \n",
" 0 \n",
" 0 \n",
" 7.9250 \n",
" S \n",
" Third \n",
" woman \n",
" False \n",
" NaN \n",
" Southampton \n",
" yes \n",
" True \n",
" \n",
" \n",
" 3 \n",
" 1 \n",
" 1 \n",
" female \n",
" 35.0 \n",
" 1 \n",
" 0 \n",
" 53.1000 \n",
" S \n",
" First \n",
" woman \n",
" False \n",
" C \n",
" Southampton \n",
" yes \n",
" False \n",
" \n",
" \n",
" 4 \n",
" 0 \n",
" 3 \n",
" male \n",
" 35.0 \n",
" 0 \n",
" 0 \n",
" 8.0500 \n",
" S \n",
" Third \n",
" man \n",
" True \n",
" NaN \n",
" Southampton \n",
" no \n",
" True \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" survived pclass sex age sibsp parch fare embarked class \\\n",
"0 0 3 male 22.0 1 0 7.2500 S Third \n",
"1 1 1 female 38.0 1 0 71.2833 C First \n",
"2 1 3 female 26.0 0 0 7.9250 S Third \n",
"3 1 1 female 35.0 1 0 53.1000 S First \n",
"4 0 3 male 35.0 0 0 8.0500 S Third \n",
"\n",
" who adult_male deck embark_town alive alone \n",
"0 man True NaN Southampton no False \n",
"1 woman False C Cherbourg yes False \n",
"2 woman False NaN Southampton yes True \n",
"3 woman False C Southampton yes False \n",
"4 man True NaN Southampton no True "
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"titanic.head()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sns.lmplot(x='fare', y='survived', col='alone', row='sex', data=titanic, logistic=True)\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"g = sns.PairGrid(titanic,\n",
" y_vars=['fare', 'age'],\n",
" x_vars=['sex', 'class', 'embark_town' ],\n",
" aspect=1, size=5.5)\n",
"g.map(sns.stripplot, jitter=True, palette=\"bright\")\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sometimes you need to manipulate the data frame before plotting"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"iris_tall = pd.melt(iris, id_vars='species')\n",
"iris_tall.head()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"g = sns.catplot(data=iris_tall, \n",
" x='variable', \n",
" y='value', \n",
" col='species',\n",
" kind='swarm')\n",
"g.set_xticklabels(rotation=45)\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Seaborn styles (themes)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sns.set_style('ticks')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(8,4))\n",
"sns.distplot(xs, hist=False, rug=True, ax=axes[0]);\n",
"sns.distplot(xs, hist=True, ax=axes[1])\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sns.set_style('dark')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"xs = rng.normal(0,1,100)\n",
"\n",
"fig, axes = plt.subplots(1, 2, figsize=(8,4))\n",
"sns.distplot(xs, hist=False, rug=True, ax=axes[0]);\n",
"sns.distplot(xs, hist=True, ax=axes[1])\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"sns.set_style('darkgrid')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(8,4))\n",
"sns.distplot(xs, hist=False, rug=True, ax=axes[0]);\n",
"sns.distplot(xs, hist=True, ax=axes[1])\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## plotnine\n",
"\n",
"\n",
"If you just want a clone of `ggplot2` in Python, check out [plotnine](https://plotnine.readthedocs.io/en/latest/gallery.html)\n",
"\n",
"### Grammar of Graphics\n",
"\n",
"\n",
"\n",
"Source: http://blog.gramener.com/grammar-of-graphics-data-stories/"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"from plotnine import ggplot, geom_point, aes, stat_smooth, facet_wrap, theme_xkcd\n",
"from plotnine.data import mtcars\n",
"\n",
"(\n",
" ggplot(mtcars, aes('wt', 'mpg', color='factor(gear)'))\n",
" + geom_point()\n",
" + stat_smooth(method='lm')\n",
" + facet_wrap('~gear')\n",
" + theme_xkcd()\n",
")"
]
},
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