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@Jwink3101
Last active October 27, 2020 23:43
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My personal, ever-evolving, matplotlib cheatsheet. Updated: 2018-09-21
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Matplotlib Tips and Demos\n",
"\n",
"When I first learned Python three years ago, I was often finding myself having to lookup the same thing again and again for Matplotlib. This was back pre-2.0 when there was even more issues (e.g. plotting `NaNs` with masked arrays). \n",
"\n",
"Some of this is super simple, some of it is more advanced. It is just my go-to reference"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Matplotlib Version: 2.2.3\n",
"NumPy Version: 1.15.1\n",
"Python Version: 3.7.0 (default, Jun 28 2018, 07:39:16) \n",
"[Clang 4.0.1 (tags/RELEASE_401/final)]\n",
"Ran on 2018-09-21T10:32:23.539108\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib as mpl\n",
"import matplotlib.pylab as plt\n",
"#%matplotlib inline # Display inline -- May not be needed on newer platforms\n",
"\n",
"import sys\n",
"\n",
"print('Matplotlib Version: ' + mpl.__version__)\n",
"print('NumPy Version: ' + np.version.full_version)\n",
"print('Python Version: ' + sys.version)\n",
"\n",
"import datetime\n",
"now = datetime.datetime.now().isoformat()\n",
"print('Ran on ' + now)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The basics\n",
"\n",
"With *few* exception, all examples use the object-oriented interface via `plt.subplots()`. In general, there is full parity between `pyplot` and the object-oriented interface. My personal opinion is `plt.(...)` for quick-and-dirty and then use `ax.(...)` when I want more control.\n",
"\n",
"### Basic Plot\n",
"\n",
"With labels, etc. The code `exPlot` builds the basics with the set configurations"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"x = np.linspace(0,2*np.pi,10**3)\n",
"y = np.sin(x) + np.cos(x)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def exPlot(isTeX=False):\n",
" fig,ax = plt.subplots(1,1,figsize=(3,3),dpi=100,num=1)\n",
" ax.plot(x,y,'-k')\n",
" ax.set_xlabel(r'x label with math (ex: $x^2$)')\n",
" if not isTeX:\n",
" ax.set_ylabel(r'y label with non-math math (ex: $\\mathregular{{x^2}}$)') # Doesn't work for LaTeX render\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Defaults"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 300x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.rc('font', family='sans-serif') # These are the defaults\n",
"plt.rc('text', usetex=False)\n",
"\n",
"exPlot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Serif Only"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 300x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.rc('font', family='serif')\n",
"exPlot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### LaTeX\n",
"\n",
"... then reset"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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aL6nW/d9gBZKtCMiqbbBca12htS6zb0B5pAqOFwkJCdx5552AtHPx6uzZs2zYsAHAVccuhXIqmD6u5b40AqFzEaVUllKqxP5ZBr+dZ7dz69evp6yszHA1Ito2btzI119/TUZGBkOGDDFdTq0cCSat9R5C2jZr66dIa11k/ZwVMo5URKBFs5fNBbZIQDlnwIABfPvb36aiooK33nrLdDkiylatCoyU5ObmumImgdo42Vzm2ccxERi0Dt1mzAdyIbiFtMdadjIwpMayIsKUUtLOxamzZ8+yfv16wL1tHICK5fOmrEMGfD6fj+TkZNPlxJTPP/+cvn37kpiYyLFjx+jQoYPpkkQUvPnmm9x222306NGDL774wvEtprKyMlJSUgBSrHHhsLhvOF5ExeWXX87AgQM5f/58cEpV4X2x0MaBBFNcGzduHHBh17Hwtlhp40CCKa7ZH8733nuPkydPGq5GOG3Tpk2cPn2a7t27M2zYMNPl1EuCKY716dOHrKwsaefiRKy0cSDBFPeknYsP586di5k2DiSY4l5oO3fixAnD1QinbNq0ifLycrp16+b6Ng4kmOJeZmYm2dnZVFdXs3btWtPlCIeEtnFuPDeuJvdXKBxnbzVJO+dN586dY926dUBstHEgwSS48GHdvn07x44dM1yNiLTNmzdTXl5O165dufrqq02XExYJJkGvXr0YMmSItHMeFWttHEgwCYvsnfOmioqKmGvjQIJJWOwP7c6dO/nqq68MVyMiZfPmzZSVldG1a1eGDx9uupywSTAJADIyMhg2bJi0cx5jt3G33357zLRxIMEkQsjeOW+pqKjg7bffBmKrjQMJJhHCvoLKzp07OXr0qOFqRHMVFBRQVlZGly5d+O53v2u6nEaRYBJBGRkZXH311WitWbNmjelyRDPFahsHEkyiBnuT3/5Qi9gUy20cSDCJGux2bteuXdLOxbAtW7bg8/m47LLLGDFihOlyGk2CSVykR48eDBs2DK217J2LYbHcxoEEk6iFtHOxrbKyMqbbOJBgErUI3TsnB1vGni1btlBaWsq3vvWtmGzjQIJJ1CIjI4OhQ4dKOxejQtu4xMREw9U0jQSTqJW0c7GpsrIyeBHTWG3jQIJJ1CG0nZOpUGLH1q1bg23cyJEjTZfTZBJMolY9e/aUqVBikH06USy3cSDBJOoh7Vxs8UobBw4Gk1IqUyk1QymVa/03NRLLiuix27kdO3Zw/Phxw9WIhthtXHp6eky3ceDsFtMqrfUcrfVqYCFQ35/dxiwroqRXr15yoYIY4oW9cTZHgkkplRX6s9a6FMhWSmU2Z1kRfdLOxQa/3++ZNg6c22LKBopr3FcM1BY2YS+rlGqllEq2b0C7SBQr6hZ6oQJp59xr69atlJSUkJ6ezqhRo0yX02xOBVNtY0SlddzfmGXzAV/I7XBTCxTh6dWrF4MHD6a6ulouI+5i9hbtbbfdFvNtHDgXTKVAWo37Uq37m7PsLCAl5NateWWKcEg7525ea+PAuWD6uJb70oCi5iyrta7QWpfZN6C8eWWKcNgf9m3btsllxF3ovffeo7i4mM6dO/O9733PdDkR4Ugwaa33ENKKWbv/i7TWRdbPWfbgdkPLCvMyMzOlnXMxr7Vx4OzhAnn2sUkExoZCtzHzgdwwlxUuIBcqcCe/3x/8Y+GVNg5Aaa1N19Bk1p45n8/nIzk52XQ5nlZUVETv3r1JSEjgq6++olOnTqZLEgSuG3fjjTfSqVMnvvzyS1q0aGG6pIuUlZWRkpICkGINv4RFTkkRYcnMzCQrK0vaOZcJbePcFkrNIcEkwiZ759zFq20cSDCJRgjdO3fy5EnD1Yjt27dz6tQpOnbsyOjRo02XE1ESTCJsvXv3ZtCgQZw/f17aORfwahsHEkyikaSdc4eqqirPtnEgwSQayf4SvPfee9LOGbR9+3ZOnjxJx44dGTNmjOlyIk6CSTRKnz59GDhwIOfPnw+eBiGiz95iHTt2rOfaOJBgEk0g7ZxZXm/jQIJJNIH9Zdi6dSunTp0yXE382bFjBydOnKBDhw6ebONAgkk0weWXX86AAQOknTPEPi3otttuIykpyXA1zpBgEk0i7ZwZVVVVrFmzBoBx48YZrsY5EkyiSULbueLimhOQCqds27YteFClV9s4kGASTdS3b1+uuuoqqqqqpJ2LotDrxnlxb5xNgkk0mbRz0eX3+4NXq/FyGwcSTKIZ7GDasmWLtHNRsG3bNoqLi+nUqZNnZqqsiwSTaLJ/+Id/4Dvf+Q5VVVW8/fbbpsvxvHhp40CCSTSTtHPREU9tHEgwiWYKbedKSkoMV+Nd9nXjvHTBgfpIMIlmueKKK+jfvz9+v1/aOQfZbVxubq5nLjhQHwkm0Wx2ayHtnDMqKyuD58bFQxsHEkwiAux2rqCggNLS2q5TKppj69atlJaWkp6ezsiRI02XExUSTKLZpJ1zVry1cSDBJCJE9s45Ix7bOJBgEhFiB9PmzZulnYuggoICfD4fl112GSNGjDBdTtRIMImI+Pa3v82VV14p7VyErVixAggcVBkvbRxIMIkIknYuss6cORNs4+68807D1USXBJOIGGnnImvDhg2cPn2anj17Mnz4cNPlRJUEk4iYfv360a9fP/x+P+vWrTNdTsxbtmwZENhaUkoZria6HAkmpVSmUmqGUirX+m9qPcsuUEpp61aolMpyoiYRHdLORUZJSQkbN24E4q+NA+e2mFZpredorVcDC4H6PqWFQHugvda6t9Z6T10LKqVaKaWS7RvQLrJli+YKbed8Pp/hamLX2rVrqayspH///nznO98xXU7URTyYam7xaK1LgWylVGZdz9Fal1rLNSQf8IXcDjenVhF5V155Jf369aOysjJ4NrxoPLuNmzBhguFKzHBiiykbqDlrWDFQZzBZLV+OUmp2fQEGzAJSQm7dmlusiLy77roLgCVLlhiuJDYdPXqUbdu2AXDHHXcYrsYMJ4KptvGk0jruB9ijtV6ttd4CrKCetk9rXaG1LrNvQHnzyxWRZv+V37ZtG4cPy0ZtY61YsQKtNcOHD6dXr16myzEi7GnwlFKTgd71LFJghUspkFbjsVTr/m+wnmMrArKUUqlhtnbChTIyMhg1ahS7du1i+fLlPProo6ZLiinx3sYBKK11ZF8wMMb0stZ6cMh9JcBgrXVRLctu1Vq3D7lPExgIbzCYrAFwn8/nIzk5OWK/g2i+hQsXMmXKFK666ir27t1rupyY8fnnn9O3b18SExM5cuQI6enppktqlrKyMlJSUgBSrC4nLBFv5ay9asG2zTpUoMgOJaVUVsg4UhGBcSN72Vxgi2wtxb68vDxatmzJvn372Ldvn+lyYsZ//Md/AJCTkxPzodQcTh0ukGcfx0RgT1peyGP5QC4E99jtsZadDAypsayIUe3bt+fmm28GYOnSpYariQ1a64sOqoxnEW/loklaOXdbs2YNubm5dO3alYMHD5KQICca1Gf37t0MHTqU1q1bc+zYMU98pl3Tyglhu/nmm0lJSeHIkSPs2LHDdDmu9/rrrwMwduxYT4RSc0gwCce0bt06eCS4HNNUv4qKCpYvXw7Avffea7ga8ySYhKPsgy1Xr17NuXPnDFfjXu+88w7FxcV06dKFnJwc0+UYJ8EkHDVq1Ci6d+9OWVmZzDhQD7uNu+uuu+JqQri6SDAJRyUkJAS3mhYvXmy2GJc6ceIE7777LiBtnE2CSTjuvvvuA2DTpk0cOXLEbDEutGzZMqqqqsjOzqZfv36my3EFCSbhuL59+zJy5Eiqq6t54403TJfjOnYbJ1tLF0gwiaiYOHEiAK+++iqxfOxcpP3lL3/hz3/+M0lJSXF/UGUoCSYRFXl5eVx66aXs37+f999/33Q5rmFvQd5yyy106NDBcDXuIcEkoqJt27aMHz8egNdee81wNe5QWVkZDCZp4y4mwSSi5ic/+QkQuOR1eblMpbV+/XqOHz9Oeno6N910k+lyXEWCSUTNiBEjuPzyy/n666/lYgXAyy+/DATG35KSkgxX4y4STCJqlFLBQfB4b+e++OILNm/eDMCkSZMMV+M+Ekwiqu655x4SEhJ4//33+eyzz0yXY4y9d/K6666jd+/6JoaNTxJMIqq6dOkSHE9ZsGCB4WrMqKqq4tVXXwVg8uTJhqtxJwkmEXVTp04FAqeonDlzxnA10bdx40aOHDlCx44d+eEPf2i6HFeSYBJRd+ONN9KzZ09KSkpYsWKF6XKizh70vvfee2nVqpXhatxJgklEXWJiIj/72c8AeOmllwxXE12HDx/mnXfeAeCnP/2p4WrcS4JJGDFx4kRatmzJ7t27+eSTT0yXEzXz58+nurqa0aNHc8UVV5gux7UkmIQRnTp1Ijc3F4ifraaKigoWLlwIwLRp0wxX424STMIYexB82bJllJZ6/4pdK1eu5MSJE3Tr1k0GvRsgwSSMGTFiBP379+fs2bPBqT+87A9/+AMQCOQWLcK+CHZckmASxiileOCBB4DAl/b8+fOGK3LORx99xO7du2nVqhX333+/6XJcT4JJGHX33XfTvn17CgsLWb9+velyHGNvLd1xxx106tTJcDXuJ8EkjLr00kuDhw78/ve/N1yNM7766itWrlwJwIMPPmi4mtjgaDAppQrCWCbTvpy49d9UJ2sS7vPggw+SlJTErl27+Pjjj02XE3HPPfccfr+f4cOHk52dbbqcmOBIMNkhA+SEETSrtNZztNargYWAzIcRZ7p06RKcRO7ZZ581XE1klZeXBw+HmDFjhuFqYocjwaS1Xq21ntPQckqprBrPKwWylVKZTtQl3Ovhhx8GArvUDx06ZLiayHnllVcoLS2lb9++3HrrrabLiRmmx5iygeIa9xUDtQaTUqqVUirZvgHtnC5QREdWVhZjxoyhqqqKefPmmS4nIvx+f3ALcPr06SQkmP66xQ7T71RtbV5pHfcD5AO+kNthh+oSBvziF78AAqdtnDp1ynA1zbdy5UoOHjxI586dueeee0yXE1PCPspLKTUZqG9GqwKt9ZZGrr8USKtxX6p1f21mAaG7btoh4eQZN910EwMHDuTTTz9l3rx5PPHEE6ZLajKtNU8//TQADz30EK1btzZcUWxRTl7jSymlgfbW2FFtj2cBL2utB4fcVwIM1loXhfH6yYDP5/ORnJwcqbKFQWvWrCE3N5eUlBQOHDhASkqK6ZKa5K233mLs2LG0a9eOL774grS0mn9/40NZWZn9b5iitS4L93lRb+WUUln24LbWeg8hbZu1B68onFAS3jR27Fj69euHz+fjhRdeMF1Ok2it+c1vfgMETtaN11BqDqcOF8ixDhcAyFdK5YQ8nA/khvycZx/HZD2W50RNIjYkJCTwL//yL0DggMvTp08brqjx1q1bx6effkrbtm155JFHTJcTm7TWMXsDkgHt8/m08A6/36/79OmjAT1r1izT5TRKdXW1HjhwoAb0448/broc43w+nwY0kKwb8d02vVdOiG9o0aIFv/71rwGYPXs2JSUlZgtqhLffflu2liJAgkm40p133slVV11FaWkps2fPNl1OWKqqqsjPzwcCe+I6dOhguKLYJcEkXCkhIYEnn3wSgHnz5nHkyBHDFTXslVde4a9//SsdO3aU00+aSYJJuNZNN93EyJEjOXfunOuPaSovL+dXv/oVAP/2b/8Ws4c5uIUEk3AtpRSzZs0CYNGiRezdu9dwRXV75plnOHbsGH369GHKlCmmy4l5EkzC1UaOHMm4ceOorq5m2rRp9t5YVzl48GDwKO9Zs2bRsmVLwxXFPgkm4Xpz586lTZs27Nq1i+XLl5su5xt+/vOfc+bMGUaOHMntt99uuhxPkGASrte9e3cef/xxAB599FFXHXT5zjvv8Oabb5KYmMhLL72EUsp0SZ4gwSRiwvTp08nMzOTLL78MHhlu2tmzZ4PXh3v44Yfp37+/4Yq8Q4JJxITWrVsHZ4J87rnn2Llzp+GK4Je//CV///vf6dq1a3CPnIgMCSYRM2644QYmTZoEBC4xfubMGWO17Nq1K3jxhPnz59O2bVtjtXiRBJOIKc888wzdunWjsLCQmTNnGqnh9OnT3HfffWitmThxIrfccouROrxMgklFJW4EAAAKK0lEQVTElJSUFF5++WUAnn/+edauXRvV9WutmTp1KkVFRfTo0cNzF09wCwkmEXP+8R//MTgN78SJEykqit70XfPnz2fJkiUkJiayZMkSmaDQIRJMIiY9+eSTDB8+HJ/Px2233UZ5ebnj6/zoo4/453/+ZwCeeuopRo0a5fg645UEk4hJSUlJrFixgs6dO7N3717Gjx9PVVWVY+vbv38/P/jBD/D7/YwdO5bp06c7ti4hwSRiWPfu3Vm/fj2XXHIJGzduZOrUqVRXV0d8PcePH+f73/8+J06cYNCgQbz++utyIKXDJJhETBs6dCjLli1DKcWiRYsiHk5ffvklY8aMYf/+/WRkZPDOO+/Qrp1cztBpEkwi5v3oRz/itddeQynFwoULue+++6ioqGj26xYWFjJ69Gj+7//+j27dulFQUMBll10WgYpFQySYhCfce++9LFmyhISEBP74xz8yZswYjh492uTX27x5M0OGDGH//v307NmTnTt3cvnll0ewYlEfCSbhGRMmTGDjxo2kpqby4Ycf0r9/f5YuXdqoqVJOnz7NtGnTuPHGGykpKWHo0KH813/9F7169XKwcvENjblygdtuyFVSRC0+//zz4JVKAD1s2DC9bt067ff763zOqVOn9Ny5c3WnTp2Cz5syZYo+e/ZsFCv3nqZeJcXRK/E6Ta7EK+ri9/uZPXs2Tz75JGfPngWgU6dO3HDDDQwaNIhOnTrh9/s5fPgwH374IVu3bsXv9wPQp08fXnzxRa6//nqTv4InNPVKvBJMwtOOHTvG3LlzWbx4MSdPnqx32QEDBvDQQw9xzz330KJFiyhV6G0STBJMoh5+v58dO3bwwQcf8D//8z+UlJTQokUL0tPTGTRoENdeey1XXnml6TI9R4JJgkkI12lqMMleOSGE6zgaTEqpgjCWWaCU0tatUCmV5WRNQgj3c2SETymVC2QCOUqpVK11aT2LFwLtARpYTggRJxwJJq31agClVFgXnQ83kJRSrYBWIXfJSUtCeJArxpiUUrlKqRyl1GylVGY9i+YDvpDb4agUKISIKjccrLFHa70FQClVDKwCBtex7Czg9yE/t0PCSQjPCTuYlFKTgd71LFJgB0xj1HhOEZBV17iU1roCCJ42LnPiCOFNYQeT1nphpFdu7YHbqrUODn43JWzKysI+PEIIEUVN/W5GvZWzwqhUa11EYAtpVshjucCWRuydaweBmQyFEK7WDgg7pZw6XCAHsI9HyldKhbZ5+cBuYI61hbRHKTUDKCXQKuY1YlVfAt2AcGait8ejwl3ey+S9uEDei4s58X60I/BdDVtMn5LSGPbpKzTy0HgvkvfiAnkvLuaW98MVhwsIIUQoCSYhhOvEUzBVAL8h5HCDOCbvxQXyXlzMFe9H3IwxCSFiRzxtMQkhYoQEkxDCdSSYhBCuI8EkhHAdCSYhCM6kmmq6DhHg+b1y1vxOuQTOy8sEFsbzTJk1ThcaAsy0zluMW9Z7sgoYHM/vhXWuahpQDBcmfDTBDfMxOW2V1nowgPUXcRUQl1cytH7/LK31HOvnXKCA+qez8bSQraRio4UYZk1rlKq1nmP9Mf8EMBZMnm7lal7YwNpSym5glkwvywZCpzveAmTG8fsBMK4p84h50Gz7D5a11djLZDGeDiYCX8SafwmLCbR0ccf6AobODppt3R+X7YvVwq00XYdp9h9wa3rrHGuu/jSTNXm9lattMLO0jvvjgtZ6T8iPM4EppmoxyW7h4nm8MUQ2ge9Ekda6SCn1MYFWzliL7/UtplK+mfyp1v1xzRpTWOXEzKQxIodAGzvZei8ygdw4va5hERcmb7TDOtPke+H1LaaP+eYWQRqBf4i4ZbUwxSb3uphW83dXSi0AVsdpW+u639nTW0xW2xJs26zN96I4/fABF8YTQq79Nzmej99RSqVaM6gCzIzHHQH2NNf27x7yPdlT/zOdEw/HMWUR2GwvInDczoJ4DSbrg1dY4+5S+2IQIn5Zn40pBD4fgwnspTP2PfF8MAkhYo+nWzkhRGySYBJCuI4EkxDCdSSYhBCuI8EkhHAdCSYhhOtIMAkhXEeCSQjhOhJMQjTALaepKKVyrdsC63xH+37PnVIkwRRDrLlyZsTpGfBGWOfRGZ/d0gqiTOscx9lcPOGf5853lGAyzAqbwpATSetkTfQ2BGuCNyfWEcZrfWJNyRt6X1bI/0dsXc0RiZqsMNjjhjmbtNZb7BkmCUzR8nHIY3OAfCOFOUSCyTArbBY04imNPrGyCeuoz0wCU/ICwQAIBmWE19UkEaxpitum3bW2jPK01jWn8znlpS1pCSbRKNZf7lIIfklc9Zc6UjVZ40qumoXCqmmc1npKLSG0GhhvoCxHSDBFmDU4WaiU+sT6eXJj2wir9ciynju7lkUGW8vkKqVmh44vWPfNqO2xBmousQZVs6x27RNrrqIc67HckMcmW0/NIdBWXG/VGjpI3CFksHZVGL/vJ1bd9rzTq5RSmaEDvmG+RxGpicAlvwpqeZ8uem8b+ve2fo+w/u2t38d+7dwa70OmVc8Ua10XbTFZU5Tk1Pa6MUlrLbcI3whMTldI4AtiXxanvuVnADNCfi4hMNAJgRYkN+Sx2TWWzQIKav6/9XMugXl1vrGOWmoIvi6BD3jo60yup9YFoY+HLLMq5OcCIKeB92B2Lc8JXU9h6PvYwHvU7JqserJqe59reW/r/Pe2npcZ5ucmJ+T9/8SuoxGfu09Mf/YjdfP61LpGaK1LlVJ5BD78ebrxg6eDgSxrcz2Nb17VJfh6Wus91l/WVKxN+dBdycCpMNe5wKp3DoEvWpr1mtk07Uoiu2urtx6nuLjWUi5upez52+3Xaug9am5NNbc063xv6/v31o2YBVJfGM+6Hlhh3Tcz3Od7iQSTc0qBPQQ+0GF/ONWFi3Leb4VOY4+hKdJNGLDVgatjlIaMXSwAxlmPhfV6Sqmser6IEdud3Zj3qBk11RZc9b23Tfr3rkMOcH8zXyOmyRiTc3K01nkE/qrnNrh0yPMIXCjA/nD3huBVcwm9z7o/C7AHpBdQY5yhketeQOALv4XAVtIUGj6Gp5ALX/BoHYjY0HsUiZp2c/FhGQ29t7X+e1vjRg3WEDK+ZF8teU8t62iI8eOtIkWCKcLswU8ufDEKgDoHQK1gGQ+Mt0MGKLUHPwkExZAaT9ttD35bz82D4ADolJDB01xgSy3rqMtKrJCzgq6Ibx4aYL+O/WVbDfS2BsT31FyXVUNWjefU+x7UfI712lkELhaQGsZ71OyarHUELw5az3vb0L93PoHxqIZkWr/DOGs9wXWE8VxC3gdPkDm/haiDUmqB/ubxQq5k7bWc2YTxTFeSLSYh6jYz3F39JllbhAVeCSWQYBKiTtYX3W6F3Sxbe+zipdLKCSFcR7aYhBCuI8EkhHAdCSYhhOtIMAkhXEeCSQjhOhJMQgjXkWASQriOBJMQwnUkmIQQrvP/8PJ7goOpglYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 300x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.rc('font', family='serif')\n",
"plt.rc('text', usetex=True)\n",
"exPlot(isTeX=True)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"plt.rc('font', family='sans-serif')\n",
"plt.rc('text', usetex=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Scientific Notation"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,(ax1,ax2) = plt.subplots(1,2,figsize=(7,3),dpi=100,num=1)\n",
"\n",
"# Regular\n",
"ax1.plot(x,1e4*y)\n",
"\n",
"# Scientific\n",
"ax2.plot(x,1e4*y)\n",
"\n",
"from matplotlib import ticker\n",
"formatter = ticker.ScalarFormatter(useMathText=True)\n",
"formatter.set_scientific(True) \n",
"formatter.set_powerlimits((-1,1))\n",
"\n",
"ax2.yaxis.set_major_formatter(formatter)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Standard Subplots\n",
"\n",
"### Adjustments"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def subdemo(axes):\n",
" for ii,ax in enumerate(axes.ravel()):\n",
" ax.plot(x,10**(ii)*y,'-k')\n",
" ax.yaxis.set_major_formatter(formatter) # Will always be the last one"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Default"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2,figsize=(7,3),dpi=100,num=1)\n",
"subdemo(axes)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Automatic\n",
"\n",
"This is the preffered way to do it"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2,figsize=(7,3),dpi=100,num=1)\n",
"subdemo(axes)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Manual\n",
"\n",
"This example is not designed to look good. It is to show the results.\n",
"\n",
"This comes from <http://stackoverflow.com/a/6541482>"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2,figsize=(7,3),dpi=100,num=1)\n",
"subdemo(axes)\n",
"\n",
"fig.subplots_adjust(hspace=0.45,wspace=0.35)\n",
"\n",
"## All Options w/ examples\n",
"# left = 0.125 # the left side of the subplots of the figure\n",
"# right = 0.9 # the right side of the subplots of the figure\n",
"# bottom = 0.1 # the bottom of the subplots of the figure\n",
"# top = 0.9 # the top of the subplots of the figure\n",
"# wspace = 0.2 # the amount of width reserved for blank space between subplots\n",
"# hspace = 0.2 # the amount of height reserved for white space between subplots"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Shared Axes"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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4YyZPnmwR820bn0BYHaUU48eP5/PPPwcyvqKdMGGCwamE+LMHTeyDCbpnz55N//79DU4lRIbBgwezYMEClFLMmjWLIUOGSDMrLNLEiRMZNmwYAKNGjeLzzz+3mG+0pJEV2aKU4pNPPjE1sx988IFpxEsIS6C15v333zc1sXPmzKFfv34GpxLiUf/5z39Mzez06dPlMgNhcSZOnGj6FmvUqFGMHTvWYppYkEZW5NAnn3zC6NGjARg6dKjpqzIhjPRgJHbq1KlARhP71ltvGZxKiL/Wu3dv5s6dC2RcZvDhhx9KMysswqRJk0xN7OjRoy2uiQVpZEUuGDNmDCNHjgTgnXfeYdasWQYnEvndJ598YhqJnTt3rjSxwuL17duXmTNnAhk3I3788cfSzApDzZ4923Q5wejRoxkzZozFNbEgjazIBUopvvjiC/773/8CMHDgQBYuXGhwKpFfffPNN3z55ZcAzJgxgzfffNPgREI8mQEDBpgWShg/fjzjxo0zOJHIr5YtW8bAgQMBGDFihMU2sSCNrMglSim++eYb3nvvPQDefPNN1q9fb3Aqkd/MnDnTNKPG119/bSrEQliLt99+m4kTJwIZo2CyApjIa4GBgfTq1QutNYMGDWL8+PEW28SCNLIiFymlmDRpEn369CEtLY1u3bqxY8cOo2OJfGLJkiUMHjwYyJhJ48MPPzQ4kRDZM3ToUMaMGQPAkCFDWLJkibGBRL6xc+dOXn31VVJTU+nZsyfTpk2z6CYWpJEVuUwpxezZs3n55ZdJTk7mpZde4sCBA0bHEjZuw4YN9O7dG60177zzjnwlK6ze6NGjeffdd4GMm8E2bdpkcCJh68LDwwkICCApKYmXXnqJBQsWWMQ8sf/G8hMKq+Pg4MDSpUtp3bo19+/fx8/Pj1OnThkdS9ioHTt20LVrV9PSyVOmTLH4EQQh/s2Db7geLAXatWtXdu3aZXQsYaNOnjyJn58fcXFxtGnThuXLl+Pg4GB0rCcijawwC2dnZ9avX0/9+vW5ffs27dq149KlS0bHEjbm+PHjptH/l19+mXnz5lnFCIIQT8LOzo758+cTEBBAYmIiAQEBHD582OhYwsZcu3YNX19f7t69S8OGDVm/fj3Ozs5Gx3piUvGF2bi5uRESEkLVqlWJiIjAx8eHqKgoo2MJG3H16lX8/PyIiYmhefPmLF261GpGEIR4Uo6OjqxYsYIWLVoQGxtL+/btOXfunNGxhI2Ijo7Gz8+PiIgInnvuOYKCgnB1dTU6VpZIIyvMytPTk61bt/LMM89w/vx5OnbsSFxcnNGxhJW7d+8efn5+REZGUrVqVasbQRAiK1xcXNi4cSN169bl1q1b+Pr6cuPGDaNjCSuXlJTEyy+/zMmTJylRogQhISEUKVLE6FhZJo2sMDsvLy82b95MkSJF2L9/P927dyc1NdXoWMJKJSUl0alTJ3777TdKlSpFSEgIhQsXNjqWEGbl7u5OcHAw3t7eXLhwgY4dO3L//n2jYwkrlZ6eTp8+fdi5cyeurq6EhITwzDPPGB0rW6SRFXni2WefZdOmTTg7OxMYGMjgwYNl1RqRZenp6fTu3Ztdu3bh5uZGcHAwZcuWNTqWEHmiePHibN68GU9PTw4ePEjXrl1JSUkxOpawQiNHjmTZsmU4ODiwdu1aateubXSkbJNGVuSZxo0bs2zZMuzs7JgzZw6ff/650ZGElfnwww9ZsWIFDg4OrFu3jlq1ahkdSYg8VblyZQIDA3FxcSEkJIQBAwbIoIDIkmnTpvHNN98AMG/ePHx8fAxOlDPSyIo81alTJ9NKNZ9++inz5883OJGwFlOmTOG7774DYMGCBbRp08bgREIYo2HDhqxYsQI7OzsWLFhgWjxBiH+zbt060/zE48aNo1evXgYnyjlpZEWeGzRoEB999BEA/fv3Jzg42OBEwtKtWbOGoUOHAhlr0Pfs2dPgREIYKyAggBkzZgDw2WefMXv2bIMTCUu3d+9eevTogdaaAQMGmP4etnbSyApDPPiXYFpaGl26dJHVv8TfCgsL4/XXXzet+z1ixAijIwlhEfr378+oUaOAjAECWf1L/J0zZ848Mh+xNSw9+6SkkRWGUEoxd+5c2rVrR3x8PB06dOD8+fNGxxIW5vTp07z00kumJRO///57mym+QuSGsWPH0qdPH9LT0+nWrRv79u0zOpKwMH/88Qe+vr7cuXOHBg0amG7yshVW08gqpQYrpS4qpRKVUoeUUs2MziRyxtHRkdWrV1OnTh2ioqLw8/OTBROEyfXr1/Hz8zOtNrN06VLs7e2NjmXVpI7aHqUUs2bNws/Pj4SEBAICAmTBBGESGxtLhw4duHTpEhUrViQwMJBChQoZHStXWUUjq5TqBkwGvgDqAGFAiFJK5t2xcg+mUCpXrhznz58nICCA+Ph4o2MJg8XGxuLv78/ly5epVKkSmzZtomDBgkbHsmpSR22Xo6MjK1eu5Pnnn+fWrVv4+flx8+ZNo2MJg6WkpNC1a1cOHz5M0aJFCQkJoWjRokbHynVW0cgCw4B5Wuu5WuvTWuv3gavAIINziVxQokQJ04IJ4eHhsmBCPpeSksKrr77K0aNHKVasGJs3b+bpp582OpYtkDpqw1xdXQkMDMTb25vff/9dVlHM5x7c0LV582ZcXFwIDAykYsWKRscyC4tvZJVSBYB6wNbHHtoKNM77RMIcqlSpwsaNG3F2dmbTpk0MGTJE5kbMh7TW9OvXj61bt1KwYEECAwMpX7680bGsntTR/OHhBRMOHDhAt27dZFAgnxo7diwLFizAzs6OlStX0qBBA6MjmY3FN7LA04A98PjC0jeAEn/1AqWUk1LK/cEGuJk5o8gFTZo0YcmSJSilmDlzJl999ZXRkUQeGz16NAsXLsTe3p5Vq1ZRv359oyPZCqmj+UTlypVNqygGBQXJKor50Ny5cxk7diwAM2bMoGPHjgYnMi9raGQfePxPovqLfQ+MBKIf2q6ZMZfIRa+88gpTpkwB4KOPPuKnn34yOJHIK7NmzWLcuHEAzJw5E39/f4MT2SSpo/lAo0aNHllF8YsvvjA6ksgjwcHBDBw4EIBPPvmE/v37G5zI/Kyhkb0FpPHnUYNi/Hl04YHxgMdDW2mzpRO5bsiQIXzwwQcA9O3bl23bthmcSJhbYGAggwcPBjJGZd966y2DE9kcqaP5TKdOnZg6dSoAo0aN4scffzQ2kDC7gwcP0qVLF9LS0ujduzefffaZ0ZHyhMU3slrrZOAQ8PhiwD7A3r95TZLWOubBBsSaOabIZV999ZXppq/OnTtz9OhRoyMJM9m/fz/dunUjPT2dPn36yHKbZiB1NH96++23TQuIPLj2XNimCxcu0KFDB+Lj4/Hx8WHOnDn5Zs5ti29kM00E3lJK9VVKPaeUmgSUBWYanEuYiZ2dHT/++CMtW7Z8ZComYVvOnz9Px44diY+Px9fXl1mzZuWb4msAqaP50Jdffsnrr79uGhQ4fPiw0ZFELrt16xa+vr7cvHmT2rVrs2bNGhwdHY2OlWesopHVWq8A3gdGA0eB5oC/1lo6Gxvm5OTEunXrqF69+iOT4wvbcPPmTXx9fYmKiqJu3bqsWrUqXxXfvCZ1NH+ys7Nj/vz5tG7dmvv375smxxe2IT4+no4dO3Lu3DmeeeYZgoODcXPLX/dlqvxwN2PmHbfR0dHRuLu7Gx1HZNHVq1dp1KgRERERNGvWjK1bt+Ls7Gx0LJED9+/fp1WrVhw8eBBvb2/27t1LiRJ/efO8xYuJicHDwwPAI/MreJskddS6RUdH06xZM06cOMGzzz7Lnj17KFKkiNGxRA6kpqbyyiuvsGnTJooUKcKePXt49tlnjY6VbdmtpVYxIivytzJlyhASEoK7uzthYWH06tWL9PR0o2OJbHqw2szBgwfx9PRk8+bNVtvECmEtPDw8CA4OpnTp0vzvf//jxRdfJDEx0ehYIpu01gwePNg01drGjRutuonNCWlkhVWoUaMG69atw9HRkVWrVvHf//7X6EgiG7TWDBw4kJCQENNqM5UrVzY6lhD5QunSpQkJCcHDw4M9e/bQs2dP0tLSjI4lsmHcuHHMmTMHOzs7li1bRpMmTYyOZBhpZIXVaN26tWkKmUmTJjFp0iRjA4ksGzNmDPPnz8fOzo4VK1bQsGFDoyMJka9Ur16d9evXU6BAAdasWcOwYcNkwQQrM3/+fEaPHg3AtGnT6NSpk8GJjCWNrLAqPXr04OuvvwZg+PDhrFq1yuBE4knNmTPHNK/hjBkzCAgIMDiREPlTy5YtWbhwIQBTp05l4sSJBicSTyokJMS0yMFHH33EoEGDDE5kPGlkhdX54IMPePvtt9Fa07NnT3bv3m10JPEvAgMDTavNjBo1Kl+sNiOEJevevTvffvstAP/9739Zvny5wYnEvzlw4ACvvvoqaWlp9OrVy7QSYn4njaywOkoppkyZQqdOnUhOTuall17i1KlTRscSf2Pfvn107drVtODBgzXAhRDGGj58OO+++y4AvXv35ueffzY2kPhb58+fNy140K5dO+bOnStzbmeSRlZYJXt7e5YuXUqjRo24d+8efn5+REZGGh1LPObkyZP4+/uTkJCAn5+fLHgghAVRSjFx4kReeeUVkpOT6dSpE7/99pvRscRjIiIi8PHxISoqijp16rB69WqZc/sh0sgKq+Xi4sLGjRupXLkyV65cwdfXlzt37hgdS2S6ePEi7dq14+7duzRs2JCVK1dK8RXCwtjb27N48WKaNGlCdHQ07du3lwUTLMjt27dp164dly5domLFioSEhOS7BQ/+jTSywqo9/fTThISEUKJECU6cOIG/vz+xsbIkvNGuX79O27ZtuX79OjVq1CA4OBhXV1ejYwkh/oKLiwsbNmzgueeeIyIiwvRnVxjr/v37+Pv7c+rUKby8vNi2bRvFixc3OpbFkUZWWL3y5cuzbds2ihQpQnh4OJ06dZKJvg109+5d2rdvz4ULFyhfvjxbtmyhcOHCRscSQvwDT09Ptm3bhre3N7///jvt2rWTb7gMlJSURKdOndi/fz+enp5s3bqVcuXKGR3LIkkjK2xC9erV2bx5M66uruzYsYOuXbuSkpJidKx8Jy4ujg4dOnDixAlKlizJtm3bKFmypNGxhBBPwMvLi9DQUEqWLMnJkyfx9fWVb7gMkJqaSo8ePdi+fTuurq6EhIRQtWpVo2NZLGlkhc2oX78+gYGBODs7s2nTJnr37i2r1uShpKQkOnfuzK+//krhwoXZunUr5cuXNzqWECILypcvT2hoKJ6enhw4cICAgAASEhKMjpVvpKen079/f9auXYuTkxMbN26kfv36RseyaNLICpvSokUL1qxZg4ODA8uWLWPw4MGyak0eSE5OpkuXLmzZsoVChQoRHBxM9erVjY4lhMiGqlWrsmXLFtzc3Ni1axddunQhOTnZ6Fg2T2vN22+/zYIFC7C3t2fFihW0atXK6FgWTxpZYXP8/f1ZsmQJdnZ2zJ49m+HDh0sza0YpKSl069aNTZs24ezszMaNG2XpWSGsXL169QgKCsLFxYWgoCB69uxJamqq0bFsltaad999l5kzZ6KUYuHChbz00ktGx7IK0sgKm9S1a1dmz54NwKRJk6SZNZOUlBRee+011q9fb/oarHXr1kbHEkLkgmbNmrF27VocHR1ZtWoVPXr0kHsPzEBrzdChQ5k2bRpKKRYsWMDrr79udCyrIY2ssFlvvvkms2bNAjKa2aFDh0ozm4tSU1N54403WLNmDQUKFGD9+vX4+PgYHUsIkYt8fX1Zu3YtBQoUYNWqVbz22mvSzOYirTUffPABU6ZMAWDu3Ln07t3b4FTWRRpZYdP69+9vamanTJkizWwuSU1NpXfv3qxYsQJHR0fWrFmDr6+v0bGEEGbQsWNHUzO7Zs0aaWZzidaakSNH8t133wEwa9Ys+vbta3Aq6yONrLB5/fv3N11mMGXKFN5//31pZnMgKSmJbt26sXTpUhwcHFi1ahUdO3Y0OpYQwow6dOjAunXrTM1s9+7dpZnNgfT0dN577z2+/vprAKZPn07//v0NTmWdpJEV+UK/fv2YM2cOAFOnTmXgwIEyNVc2xMfH06lTJ9M0ma0QAAAgAElEQVTozOrVq+WGBCHyCX9/f1Mzu3btWl555RWZmisb0tLSeOutt/j+++8B+OGHHxg8eLDBqayXNLIi33jrrbeYN28eSilmz55Njx49ZEqZLIiNjcXf35/NmzdTsGBBAgMDpYkVIp/x9/dn/fr1ODs7ExgYiK+vL9HR0UbHshopKSm8/vrrLFiwADs7OxYuXMigQYOMjmXVpJEV+Urfvn1N13WuXLmSgIAA4uLijI5l8e7cuYOPjw+7du3C3d2dLVu2yI1dQuRTfn5+bNmyBXd3d3bv3k2rVq24efOm0bEsXkJCAp07d37k76BevXoZHcvqSSMr8p0uXboQGBhIwYIF2bp1K23btpU1xf/BxYsXady4MeHh4RQpUoQdO3bQtGlTo2MJIQzUvHlzfv75Z4oWLcqRI0do2rQply9fNjqWxbp16xZt27Y1zbe9YcMGOnfubHQsm2DxjaxS6mOl1F6lVLxS6p7ReYRtaNeuHdu3b6dw4cLs27ePpk2bcvHiRaNjWZxDhw7RqFEjzpw5Q5kyZdi9ezf16tUzOpZ4yJPUSKVUWaXUJqVUnFLqllJqqlKqQF5nFbalTp06/PLLL5QtW5Zz587RuHFjDh8+bHQsi3PhwgWaNGnC3r17eeqpp9iyZQt+fn5Gx7IZFt/IAgWAVcAMo4MI29KwYUPCwsLw8vLi9OnTvPDCC/z6669Gx7IYwcHBtGjRghs3blCrVi327dtHtWrVjI4l/uwfa6RSyh4IAgoBTYHuQGfgu7wKKGxX5cqV2bNnD9WqVSMyMpJmzZqxceNGo2NZjAMHDtCoUSPOnj1L2bJl2bNnD82bNzc6lk2x+EZWa/2p1noScMLoLML2VKtWjfDwcOrUqUNUVBStWrVi+fLlRscylNaa6dOn8+KLLxIXF4ePjw+7d++mVKlSRkcTf+EJamQ7oCrQU2t9RGsdCgwH+iml3PMqp7BdpUuXZs+ePfj4+JhmNpk4cWK+n+Zw7dq1tGzZkps3b1KnTh327dtH1apVjY5lcyy+kc0OpZSTUsr9wQa4GZ1JWC4vLy92797Niy++SFJSEq+99hpjx44lPT3d6Gh5Likpibfeeot33nmHtLQ0evfuTVBQEO7u0u9YsUbASa115EP7tgBOwN9eJyJ1VGSFh4cHQUFBDBgwAK01w4cPZ+DAgflyZpj09HRGjRpF586diY+Pp3379uzatYuSJUsaHc0m2WQjC4wEoh/arhkbR1g6V1dX1q5dy/DhwwEYM2YML774Infv3jU4Wd6JjIykRYsWzJ8/Hzs7OyZMmMCCBQtwdHQ0OprImRLAjYd3aK3vAsmZj/0dqaMiSxwdHZkxYwYTJ040TXPYvHlzrl69anS0PBMdHc1LL73EuHHjABg+fDiBgYG4ucm/A83FkEZWKTVGKaX/ZXs+B6cYD3g8tJXOleDCptnb2zNhwgTmz5+Ps7MzQUFB1KtXL1/cvLBz507q1atHeHg4hQsXZvPmzQwfPhyllNHR8iUz1Mi/+o5X/c3+B6SOiixTSjF06FACAwMpXLgw4eHh1K1bl9DQUKOjmd2xY8do0KABgYGBODs789NPPzFhwgQcHByMjmbTjBqRnQY89y/byeweXGudpLWOebABsTmPLPKLPn36sHfvXsqXL2+aemrWrFk2eb1XSkoKn3zyCW3atOGPP/6gevXqHDx4UOaINV5u1sg/eGzkVSlVGHDksZHah0kdFTnh7+/PoUOHqFu3Lrdu3aJdu3aMHTuW1NRUo6PlOq0133//PQ0aNODs2bOUKVOGX375hZ49exodLX/QWlvFBvwHuJfN17oDOjo6WgvxpO7cuaMDAgI0GaNWukOHDvr69etGx8o1Fy9e1I0aNTK9v7feekvfv3/f6FhWJzo6+sFn6K4tsEYCfkAaUPKhfd2AxKxkljoqsiMhIUH369fPVGcaNmyoz549a3SsXBMVFfXI3xMBAQE6KirK6FhWKbu11OKvkc2c/7A2UBawV0rVztxcjc4mbFvhwoVZv3493333HU5OTgQFBVG9enXWrFljdLQcSU9PZ/r06dSoUYNff/0VDw8PVqxYwZw5cyhUqJDR8UQWPUGN3AqcAn5SStVRSrUBJgBzdMZIqxBm4+zszOzZs1m8eDEeHh7s27eP2rVr88MPP1j1t1xaa1auXEnVqlXZtGkTBQoUYOrUqWzYsIGnn37a6Hj5S1a6XiM24Ecy/6Xz2NYyC8eQkQSRIydOnNC1a9c2/fy9/PLL+sqVK0bHyrIzZ87opk2bmt5HkyZN9MWLF42OZdWMHpF9khpJRpMbCMQDt4HvAacsnkfqqMiRK1eu6NatW5t+Rps3b65/++03o2NlWUREhO7UqZPpfVStWlUfOXLE6FhWL7u11PBGNS82KcAiNyQlJemPPvpI29vba0AXKlRIf/vttzo5OdnoaP8qJiZGjxw5Ujs5OZmyf//99zotLc3oaFbP6EY2rzapoyI3pKWl6cmTJ2sXFxcNaAcHBz1ixAiruKwpMTFRf/vtt9rd3d2UffTo0ToxMdHoaDZBGlkpwCKPHD9+XDdp0sT0r/HKlSvrlStXWmRTmJqaqufNm6eLFy9uytu+fXsZhc1F0sgKkXWXLl3SL774oqkulSpVSs+aNcsiBwbS09P1+vXrdYUKFUx569evr48dO2Z0NJtis9fICmFpatSowe7du5k/fz5Fixbl7NmzdO3alQYNGhASEvLgL31DpaamsnjxYqpVq8abb77JjRs3qFSpEhs3biQkJIRy5coZHVEIkY8988wzbNiwgQ0bNlCuXDkiIyMZMGAA1apVY/ny5RYxu4HWmk2bNvHCCy/QqVMnfv/9d0qUKMGCBQvYt28fNWvWNDqiABmRFSInYmJi9NixY7Wrq6vpX+o1atTQCxYsMOTrpujoaD1t2jRdsWJFU57ChQvrCRMm6KSkpDzPkx/IiKwQOZOYmKinTp2qixYtaqpb5cqV01OmTNGxsbF5nichIUEvXLhQ16lTx5SnYMGC+qOPPjIkT36R3VqqtAWMHplb5vKK0dHR0bLUpjCLqKgovvrqK2bPns39+/cBKFasGD169KB3797Url3bbOdOT08nPDychQsXsnjxYuLi4gB4+umnGT58OIMHD5afezOKiYnBw8MDwEPb8CwAUkeFucXGxjJ58mSmTp3KrVu3AHB3d6dr16707t2bJk2amG2RFq01J06c4KeffmL+/PncuXMHgEKFCvHOO+8wbNgwihUrZpZziwzZraXSyAqRi+7du8fs2bOZOnUqERERpv1Vq1YlICAAf39/GjVqlONlX+Pi4vjll1/YsmULq1evfmQJyOeee45BgwbRp08fXF1lljpzk0ZWiNyVkJDAokWLmDhxImfPnjXt9/b2pmPHjnTo0IEWLVrg7Oyco/MkJSWxb98+tm7dyurVqx85V9myZRkwYAADBgzA09MzR+cRT0Ya2X8gBVjktdTUVLZs2cLChQvZsGEDycnJpsdcXFyoW7cuL7zwAlWrVqVChQqUL1+eIkWKUKhQoUdGHO7fv8/169eJiIjgzJkzHDt2jKNHj3Lw4EFSUlJMz3N1deXFF1+kX79+tGjRQpaWzUPSyAphHunp6YSFhbFw4UJWrVpl+rYLwNHRkdq1a9OgQQNq1KhhqqNPP/00rq6u2Nn9/1uAEhISuH79OpGRkZw9e5bjx49z7Ngx9u3bR2Jioul5Tk5O+Pr68uabb+Lv74+9vX2evt/8ThrZfyAFWBjp3r17bN68maCgIEJCQrh9+/bfPtfOzg4XFxdSU1NJTk7+xxvHypYtS5s2bXjxxRdp3749Li4u5ogv/oU0skKYX1xcHKGhoQQFBREcHPzIN16PU0pRsGBB0tLSSE5OJj09/W+fW7x4cVq1akVAQAAdO3aUn20DSSP7D6QAC0uRnp7OuXPnCA8P58CBA5w7d47ff/+dy5cvPzLC+jA3NzdKlSqFt7c3tWrVokaNGjRq1Ahvb28ZebUA0sgKkbe01ly6dIn9+/ezf/9+zpw5w4ULF7h48eIjI6wPc3FxwcvLi2eeeYaaNWtSs2ZNGjRowHPPPSd11EJII/sPpAALS6e1JiEhgejoaOLj43F0dKRAgQK4urrKda4WThpZISyD1prExERiYmK4f/++qY66uLjg7u4uDauFy24tdTBfJCHEk3rwVVjBggWNjiKEEFZJKYWLiwsuLi4UL17c6Dgij8iCCEIIIYQQwirlqxHZmBib/dZPCGGQ/FZX8tv7FULkjezWlvxyjawXcM3oHEIIm1Zaa/33t1JbOamjQog8kqVaml8aWQWUAmKf8CVuZBTs0ll4jfgz+RxzTj7DnMuLz9ANiNQ2XFCzUUdBfn5zg3yGOSefYc7l1WeY5VqaLy4tyPxAnry7//93Nsba8l3I5iafY87JZ5hzefQZ2vz/m6zWUZCf39wgn2HOyWeYc3n4GWb52HKzlxBCCCGEsErSyAohhBBCCKskjexfSwLGZv5XZJ98jjknn2HOyWdoHPnsc04+w5yTzzDnLPYzzBc3ewkhhBBCCNsjI7JCCCGEEMIqSSMrhBBCCCGskjSyQgghhBDCKkkjK4QQQgghrJI0skIIIYQQwipJIyuEEEIIIaySNLJCCCGEEMIqSSMrhBBCCCGskjSyQgghhBDCKkkjK4QQQgghrJI0skIIIYQQwipJIyuEEEIIIaySNLJCCCGEEMIqSSMrhBDCoiml3JRSB5RSR5VSJ5RS/YzOJISwDEprbXQGIYQQ4m8ppewBJ611vFKqIHASqK+1vm1wNCGEwRyMDiCEEEL8E611GhCf+VtnwB5QxiUSQlgKubRACCGE2SilmiulNimlIpVSWinV6W+eN1gpdVEplaiUOqSUavbY408ppY4B14BvtNa38iK/EMKySSMrhBAiy5RSTZRSjn+x/1mlVImHdhUCjgHv/MOxugGTgS+AOkAYEKKUKvvgOVrre1rrWoA30EMpVTx33okQwprJNbJCCCGyRCllBxwGzgHdM7/6RylVGdgFTNJaf/MXr9PAy1rr9Y/tDwcOa60HPbTvNLBeaz3yL44zA9ihtV6Vi29LCGGFZERWCCFElmit0wF/MkZPFyml7JRSFYAdwMa/amL/jlKqAFAP2PrYQ1uBxpnPKa6Ucs/8tTvQHDiT4zcihLB6crOXEEKILNNaRyqlWgO7gaVAI2A7MDCLh3qajJu3bjy2/wbw4BKF0sA8pZQi4yavaVrr49nNLoSwHdLICiGEyBat9RWlVC8yLie4ALyps3+92uOvUw/2aa0PAbWzHVQIYbPk0gIhhBDZknnD1WxgE1AQmJSNw9wC0vj/o68PFOPPo7RCCPEIaWSFEEJkmVLqaTIuJTgNvAK0BroqpSZk5Tha62TgEODz2EM+wN5ciCqEsGFyaYEQQogsyZy1YDNwGeimtU4FTiul2gI7lVIRWutJmc91BSo+9HJvpVRt4I7W+krmvonAT0qpg8CvQH+gLDAzb96REMJayfRbQgghskwp5QOEaa0TH9tfG7ittb6a+fuWwM6/OMRCrfV/HnrdYOBDoCQZS9AO1VrvNk96IYStkEZWCCGEEEJYJblGVgghhBBCWCVpZIUQQgghhFWSRlYIIYQQQlilfDFrQeZqMKWAWKOzCCFskhsQmYPFACye1FEhRB7Ici3NF40sGcX3mtEhhBA2rTQQYXQIM5I6KoTIC1mqpfmlkY0FuHr1Ku7u7kZnEULYkJiYGMqUKQO2P1IpdVQIYTbZraX5pZEFwN3dXQqwEELkgNRRIYQlyVeNrKVKTEzk8uXL/PHHH8TGxhITE4PWGicnJ5ycnChatCheXl6UKFECR0dHo+MKIYTFSUlJ4cqVK0RGRprqaGpqqqmOFilSBC8vL0qVKoWTk5PRcYUQuUQa2TwWGxtLWFgY+/fvZ//+/Rw/fpyIiCe7FMTOzo7KlStTq1Yt6tSpQ8uWLalXrx4ODvK/UQiRfyQmJrJ3717Cw8PZv38/R44c4erVq6Snpz/R6ytUqEDNmjWpXbs2zZs3p1GjRtLcCmGl8sXKXkopdyA6OjrakK/EIiIiWLFiBUFBQYSFhZGSkvKn57i6uuLl5YW7uztubm7Y2dmRnJxMQkICN2/eJCIigtTU1D+9zt3dnTZt2tClSxcCAgJwdXXNi7ckhMgUExODh4cHgIfWOsboPOZidB29ffs2q1atIigoiB07dhAfH/+n5zg7O1O6dGmeeuop3NzccHBwIDk5mcTERKKiooiIiCApKelPr3NxcaF58+a8+uqrvPzyy3h6eubFWxJCPCS7tVQaWTNJTExk1apVLFq0iO3bt/Pw51y+fHmaNm1K/fr1qVu3LpUqVeLpp58mY3abv5aens7169c5ceIEx44dIzw8nJ07d3Lv3j3Tc5ydnenUqRODBw+madOm/3g8IUTukEbWfFJTUwkMDGThwoUEBQU9MghQqlQpmjVrRoMGDahXrx6VK1emRIkS/1j3tNZERUVx8uRJjh07xv79+9m5cyc3btwwPcfBwYH27dszaNAgfH19sbe3N+t7FEJkkEb2H+RlAY6KiuKHH35g+vTpREVFmfY3a9aMV199FT8/PypVqpQr50pLS+PIkSNs2LCBFStWcO7cOdNj1atXZ8iQIfTu3Vu+MhPCjKSRzX2xsbHMmzePKVOmcOnSJdP+unXr0qVLF/z9/alRo0au/GNda81vv/3Gpk2bWLlyJUePHjU95u3tzeDBgxkwYABubm45PpcQ4u9JI/sP8qIA37p1iy+//JIZM2aQmJgIQJkyZejXrx89e/bE29vbLOd9QGvN4cOHmTVrFkuWLDF97VamTBn+7//+jzfffFMaWiHMQBrZ3HP//n0mTZrEd999R3R0NABPP/00ffr0oVevXlSvXt0s533YmTNnmDNnDvPnz+fu3bsAeHp6MmzYMN555x2ZsUEIM8l2LdVa2/wGuAM6Ojpa57aYmBg9duxY7ebmpgEN6Oeff14vW7ZMp6Sk5Pr5nsTdu3f1xIkTdalSpUyZypQpo5cuXarT09MNySSErYqOjn7w58xdW0C9M9dmzjqamJiop06dqosVK2aqWVWqVNGzZs3S8fHxuX6+JxEXF6fnzp2rK1WqZMpUpEgR/f333xtW24WwZdmtpYYXx7zYzFGA09PT9fLly3XJkiVNRa5OnTo6JCTEYprFhIQEPW3aNO3l5WXK2LhxY71//36jowlhM6SRzZlt27bpypUrm2pUhQoV9LJly3RaWlqunie7UlJS9OLFi3WVKlVMGatWraq3bNlidDQhbIo0snlYgM+cOaPbtm37SOFdsWKFxRTex8XHx+vPP/9cFyxY0JR58ODBOiYmxuhoQlg9aWSzJyIiQnfr1s1Uk4oXL65nzpypk5OTc+X4uS0lJUVPnz5de3p6mjJ36dJF//HHH0ZHE8ImSCObBwU4LS1NT5gwQTs5OWlAOzk56bFjx+qEhIQcHTevXLt2Tb/xxhumIly2bFm9efNmo2MJYdWkkc2a9PR0vWjRIu3h4aEBbWdnp99991197969HB03r9y5c0e///772t7e3nS5wU8//WQx38QJYa2kkTVzAb548aJu0aKFqQls166dPn/+fLaPZ6TQ0FDt7e1tei/9+vXTcXFxRscSwipJI/vkoqKidOfOnU21p379+vrQoUPZPp6RDh06pGvVqmV6Ly+++KKOiooyOpYQViu7tdTuie8KywalVHOl1CalVKRSSiulOj32uFJKjcl8PEEp9bNSqtpjzymslPpJKRWduf2klHrKnLkft2TJEmrWrMmuXbsoVKgQs2bNYvPmzVSoUCEvY+SaNm3acOLECd577z2UUsyZM4fnn3+eEydOGB1NCGEG/1aL88LWrVupXr06a9aswcHBgc8//5y9e/dSt27dvI6SK+rWrcuBAwcYN24cBQoUYOPGjdSuXZtdu3YZHU2IfMWsjSxQCDgGvPM3j38IDMt8vD7wB7BNKfXwhH1LgdqAb+ZWG/jJXIEflpiYyMCBA+nZsyexsbE0btyYY8eO0b9/f6tfbKBQoUJMnjyZ0NBQSpYsyenTp6lfvz4//PDDg9EXIYTt+LdabDbp6emMHTsWX19fbty4wXPPPce+ffv45JNPrH55bUdHRz7++GPCw8OpUqUKERERtG7dmk8//fQvV2IUQphBVoZvc7KRMVzc6aHfK+A6MOKhfU7APWBA5u+fy3zdCw89p2HmvipZOHeWvxK7ePGirlevnga0UkqPHj1ap6amPvHrrcnNmze1v7+/6Suynj17GjbljRBGy+rPvrVdWvB4Lc7C67JcR6OionT79u1NtaV///42W1vu37+v+/TpY3qvPj4++vbt20bHEsIQ8fHxWb5u3CIvLfgX3kAJYOuDHVrrJGAX0DhzVyMgWmsd/tBz9gHRDz3nT5RSTkop9wcbkKUlWYKDg6lbty6HDh2iSJEiBAcHM3bsWJtdqrBo0aIEBgby3XffYW9vz+LFi2nWrBlXr141OpoQeerIkSM899xzrF692ugohstpHd2/fz/16tVjy5YtuLi4sHDhQmbNmoWLi4uZEhurUKFCzJ8/nyVLllCwYEG2bdtG/fr1OXnypNHRhMhTly5d4oUXXmDSpEl5cj4jG9kSmf+98dj+Gw89VgK4+RevvfnQc/7KSDKa3QfbtawEW7hwIXfv3qV+/focPnwYX1/frLzcKimlGDZsGNu2bcPT05NDhw7x/PPPExYWZnQ0IfLExo0badq0KZcvX2b8+PGkp6cbHcloOaqja9as4cqVK1SsWJF9+/bRq1cvc2S0OD169GDv3r2UK1eOCxcu0LBhQ9auXWt0LCHyxK+//kqDBg04ceIEEydO5P79+2Y/p5GN7AOPX5CpHtv3VxdsPv6cx40HPB7aSmcl0Jw5cxgzZgxhYWE888wzWXmp1WvVqhUHDx6kZs2a3Lx5kzZt2rB48WKjYwlhNlprJk2aRKdOnYiPj8fHx4ft27djZ2cJ5dFQOaqj48aNY/To0aZ6kp/UqlWLAwcO0Lp1a+Li4ujcuTNff/213H8gbNqKFSto1aoVUVFR1KlTh3379uHq6mr+E2flOoScbPz5GtnymfvqPPa8DcDCzF/3Be79xbHuAX2ycG6zLa1oq+7fv69fffVV0/Ve48ePl3kShc1JSUnRAwcONP2cDxgwIMsT8ss1suLvpKSk6CFDhjyyEI2t3msh8q/09HT9+eefm37OAwICdGxsbJaPY43XyF4kY5YCnwc7lFIFgBbA3sxdvwIeSqkGDz3nBTJGB/YizKZQoUKsWLGC4cOHAzBy5Ejefvtt0tLSDE4mRO6Ij4/npZdeYubMmSilmDBhAjNmzMDR0dHoaMJGODg4MHXqVCZOnIhSih9++IHOnTsTHx9vdDQhckVaWhr9+vVj1KhRAAwdOpR169blzUjsA1nperO6Aa5kTJdVm4wue2jmr8tmPj6CjNHVl4HqZEy1FQm4PXSMEDKmjWmYuR0HNmUxh4wk5MDkyZO1Uso06bet3nUs8o+7d+/qpk2bakC7uLjodevWZftY1jAi+2+1+AmPIXU0B1auXGlaFbJhw4b61q1bRkcSIkcSExNNC5zY2dnp6dOn5+h4FrmyF9AyM9Tj24+ZjytgDBnTcCWSMWNB9ceOUQRYDMRkbouBp7KYQwpwDq1evdpUhFu2bKljYmKMjiREtvzxxx+mFZk8PDx0WFhYjo5nJY3sP9biJzyG1NEc2r17ty5cuLAGdPXq1fX169eNjiREtsTGxuq2bdtqQBcoUECvWbMmx8fMbi1VWtv+xeeZU8dER0dH4+7ubnQcq7V79246duxIbGwsDRs2JDg4mMKFCxsdS4gndunSJXx8fDh//jzFixdny5Yt1KpVK0fHjImJwcPDA8BDax2TK0EtkNTR3HHq1Cnatm3L9evXqVSpEqGhoZQtW9boWEI8sTt37uDv7094eDiFChVi/fr1tG3bNsfHzW4tzfe35Yon17x5c7Zv307hwoXZt28frVu3JioqyuhYQjyRc+fO0bRpU86fP0+5cuX45ZdfctzECpFVVatWNc2Ic+7cOZo1a8b58+eNjiXEE7l58yYtWrQgPDycIkWKsH379lxpYnNCGlmRJfXr1+fnn3+mWLFiHD16lBYtWhAZGWl0LCH+0dmzZ2nZsiURERFUrVqVX375hYoVKxodS+RTFSpUICwsjMqVK3PlyhWaN2/OqVOnjI4lxD+6efMmrVu35uTJk5QsWZLdu3fzwgsvGB1LGlmRdTVr1iQsLIzSpUtz+vRpWrVqxfXr142OJcRfOnv2LK1atSIyMpJq1aqxc+dOvLy8jI4l8rkyZcqwe/duatSowfXr12nVqhWnT582OpYQf+nmzZu0atWK3377jVKlSrFr1y6qVatmdCxAGlmRTZUrVyYsLIyyZcty9uxZ2rRpw40bjy/SJoSxHozERkZGUr16dXbs2EGxYsWMjiUEAMWLF+fnn3+mdu3aptGus2fPGh1LiEfcuHGDVq1acerUKby8vPj555+pVKmS0bFMpJEV2VauXDl27txpGplt27atXDMrLMaDJvb69evSxAqLVaRIEUJDQ6lRowZ//PEHrVq1kmtmhcW4ceMGrVu3ttgmFqSRFTlUvnx5duzYQcmSJTl58iRt27bl9u3bRscS+dyFCxdMl7w8aGKLFi1qdCwh/pKnpyehoaFUrVqVyMhIWrduzcWLF42OJfK527dv06ZNm0eaWEu8t0AaWZFjlSpVYufOnRQvXpzjx4/j4+PD3bt3jY4l8qmIiAjatm1ruiZWmlhhDYoVK8b27dupUqUKV69epVWrVly+fNnoWCKfiomJwdfX13RNrKU2sSCNrMglVapUMTUMR44coUOHDsTFxRkdS+Qzt27dwsfHh4sXL1KhQgW2bdsmTaywGiVKlGDHjlxsPkQAACAASURBVB1UqlSJy5cv4+PjI/ceiDyXkJBAQEAABw8exNPTk23btllsEwvSyIpcVLVqVUJDQ3nqqaf49ddf6dy5M8nJyUbHEvlEdHQ0vr6+nD59Gi8vL0JDQylZsqTRsYTIklKlSrFjxw7TPLO+vr5ER0cbHUvkE8nJybz66qvs3r0bd3d3tmzZQtWqVY2O9Y+kkRW5qmbNmgQFBVGwYEG2bNnCG2+8QVpamtGxhI2Lj48nICCAQ4cOUbRoUUJDQylXrpzRsYTIltKlS7N161bTfN0BAQHEx8cbHUvYuLS0NN544w2Cg4NxcXEhKCiIevXqGR3rX0kjK3Jd48aNWbt2LY6OjqxcuZLBgweTH5ZCFsZITk6mc+fOhIWF4eHhwZYtW3j22WeNjiVEjlSuXJktW7bg7u5OWFgYXbt2JSUlxehYwkZprRkwYAArV67E0dGRdevW0bRpU6NjPRFpZIVZtG/fniVLlqCUYvbs2Xz88cdGRxI2KD09nd69e7N582YKFixIUFAQderUMTqWELmidu3aBAUFmUbH/vOf/5Cenm50LGGDRo4cybx587Czs2PZsmW0b9/e6EhPTBpZYTZdunRh1qxZAIwfP55vv/3W4ETC1owYMYLly5fj4ODA2rVradKkidGRhMhVTZs2ZfXq1Tg4OLB06VLeffdd+YZL5Krp06fz9ddfAzBnzhw6d+5scKKskUZWmFW/fv346quvAPjwww/56aefDE4kbMXUqVOZMGECAPPnz7eqEQQhssLf359FixahlGL69Ol8+eWXRkcSNmLdunUMGTIEgM8//5y+ffsanCjrpJEVZjdixAiGDx8OQN++fdm2bZvBiYS1W7NmDe+//z4AX375JW+88YbBiYQwr9dee42pU6cC8Mknn/Djjz8aG0hYvb1799KjRw+01vTv399qLwGURlbkiW+++Ybu3buTmprKK6+8wpEjR4yOJKzUL7/8wuuvv/7/2rvzuKqqvY/jnwUIKAhoajlmVzMzp6I0TRNIEVDRcsjSzOz6OKTd+3ibu2qmZfYqr+WQZag555QGHhBTU3twSLtmk2aZN1PUCD2MyrSeP9BzEYcEDqyzD7/367Vf6j4DX7bw48fae6+F1pqRI0fywgsvmI4kRIUYM2YMzz//PAB//etfiY+PN5xIWNWhQ4fo1asX586do2fPnsyePRullOlYpSKNrKgQHh4eLFy4kNDQUDIyMoiKipIlGEWJHTx4kOjoaM6fP090dDSzZs2ybPEVojRef/11Bg8eTH5+Pv3792fv3r2mIwmLOXnyJBEREaSmptKuXTvHfQZWJY2sqDA+Pj588skntGrVipMnTxIZGckff/xhOpawiOTkZCIiIjhz5gzt27dn+fLleHp6mo4lRIXy8PAgJiaGrl27kpmZSY8ePThy5IjpWMIiMjIy6NmzJ0ePHqVJkybExsbi5+dnOlaZSCMrKlRgYCDx8fE0bNjQcWojOzvbdCzh4tLT0+nRowf/+c9/aNq0KbGxsVSrVs10LCGM8Pb2Zs2aNbRt25bTp08TERHB77//bjqWcHG5ubn079+fffv2UatWLRISEqhTp47pWGUmjayocPXr1ychIcGxlO0jjzwiq3+Jq7pYfP/9739Tu3ZtEhISqF27tulYQhgVEBCAzWZzLGXbs2dPMjMzTccSLuriPQUJCQlUrVqVuLg4mjZtajqWU0gjK4xo0aIFn376KT4+Pqxfv56xY8fK3IjiMlprhg8fzsaNGx0LHjRp0sR0LCFcQt26dUlISKBmzZrs2bPHcUOtEMVNmjSJ+fPn4+Hhwccff0z79u1NR3IaaWSFMZ07d3as/vXee+8xdepU05GEi5k4cSIfffQRnp6erFy5knvuucd0JCFcSvPmzYmNjcXX15e4uDhZElxcJiYmhkmTJgEwZ84cevXqZTiRc1mmkVVKjVZK/aKUOqeU2qeU6mw6kyi7vn378s477wDw8ssvs2jRIsOJhKv44IMPmDx5MgDvvfcePXr0MJzI2qSGuq+OHTuyfPlyPDw8mDdvHq+99prpSMJF2Gw2RowYART+jL34d7eitXb5DXgYyAH+CtwOzAAygEbX+foAQNvtdi1c07PPPqsB7eXlpRMTE03HEYbFxsZqDw8PDejx48ebjnNNdrtdAxoI0C5QL6+0lbWGaqmjljBr1qyLX4t6wYIFpuMIw7788ktdrVo1DeghQ4bogoIC05GuqbS1VGkLnIJQSu0GvtJajyqy7wdgndb6xet4fQBgt9vtBAQElGNSUVoFBQUMGjSIFStWUL16dbZv307btm1NxxIGfPnll4SEhJCVlcXQoUOZP3++S88Vm5aWRmBgIECg1jrNdJ4rKWsNvfB8qaMW8MILLzBt2jS8vLzYsGED4eHhpiMJA44cOUKHDh04ffo03bp1Iy4uDm9vb9Oxrqm0tdTlLy1QSnkDwUBisYcSgY5XeY2PUirg4gZUL+eYoowuLpgQEhJCeno6UVFR/Prrr6ZjiQr2888/06NHD7KysujevTsffPCBSzexVlCaGnrhdVJHLej1119n0KBB5OXl0bdvX1lFsRJKSUkhIiKC06dP07ZtW1avXu3yTWxZuHwjC9QCPIFTxfafAm66ymteBOxFtt/KLZ1wmosLJrRs2fKSye9F5fD777875sO86667WLVqFVWqVDEdyx2UpoaC1FFL8vDwYP78+YSFhTlWUTx69KjpWKKCZGVlER0dzeHDh2nUqBEbNmxw+zMoVmhkLyp+DYS6wr6LpgKBRbYG5ZhLOFFQUBA2m4369evzww8/0KdPH86dO2c6lihnWVlZ9OrVi59++onGjRuzYcMGqleXAUAnK0kNBamjluXt7c3atWsvWUUxNTXVdCxRzvLz8xk0aBA7d+4kKCiIhIQE6tWrZzpWubNCI5sC5HP5yEEdLh9hAEBrfV5rnXZxA9LLOaNwooYNGxIfH09AQADbt2/n8ccfp6CgwHQsUU7y8vIYOHAgu3fvpmbNmsTHx3PTTdcaKBQlVOIaClJHrS4wMBCbzUaDBg04ePAgvXv3lkEBN6a15umnn2bdunX4+Pjw6aefcvvtt5uOVSFcvpHVWucA+4BuxR7qBiRVfCJREVq1asUnn3xClSpVWLlyJc8++6zpSKIcaK0ZO3YssbGxjuLbvHlz07HcitTQyqtBgwbEx8cTGBjIF198weDBg2VQwE29+eabzJkzB6UUS5YsoXPnyjO7nss3shdMB/6qlBqmlLpdKfUvoBEw13AuUY7CwsJYuHAhANOnT2fGjBlmAwmnmzp1KnPnzkUpxbJly7jvvvtMR3JXUkMrqZYtW7Ju3Tq8vb1Zs2YN48aNkwUT3MySJUt44YUXgMKflf369TOcqIKVZK4ukxswGjgKnKdwdOH+ErxW5j+0sGnTpmlAK6X0ypUrTccRTrJgwQLHnJfvvvuu6TilZoV5ZHUZa6iWOmp5y5cvd3y/vf3226bjCCdJTEzUXl5eGtDjxo0zHadM3Hoe2bKS+Q+tTV84/Tx79mx8fHzYtGlTpTpt4o42btxIz549ycvL4/nnn+eNN94wHanUrDCPrDNIHbW+t956y3GZ1ooVK3j44YcNJxJlsX//fu6//37S09MZOHAgS5cuxcPDKifaL+e288gKoZTinXfe4cEHH+T8+fNER0fz/fffm44lSmnfvn307duXvLw8Bg0axOuvv246khCVwj/+8Q+efvppAIYMGcK2bdsMJxKldfToUSIjI0lPTyc0NJSFCxdauokti8r5WQvL8fT0ZOnSpXTo0IGzZ88SGRnJiRMnTMcSJXTkyBGioqLIzMzkgQceYP78+ZW2+ApR0ZRSTJ8+nb59+5KTk0OfPn347rvvTMcSJfTHH38QERHByZMnadWqFWvXrsXHx8d0LGPkJ4iwjKpVqxIbG0uzZs349ddfiYqKIi3Nbc/kup2iq820adOGtWvXuvVqM0K4Ik9PTxYvXsx9993nGBQ4fvy46VjiOmVnZxMdHc2hQ4ccU1UGBQWZjmWUNLLCUm644QYSEhKoU6cOX3/9Nf369SMnJ8d0LPEnsrKy6NmzJ4cPH+bmm2/GZrPJdZZCGFK1alXHVHfHjh0jKioKu91uOpb4E/n5+Tz66KMkJSURFBREfHw89evXNx3LOGlkheXccsst2Gw2/Pz82LRpE8OHD5fpZFxY8QUPKstqM0K4sqKLjxw4cMBxuYFwTfoKCx7ccccdpmO5BGlkhSUFBwezatUqPD09WbRoEePHjzcdSVyB1pqRI0cSGxuLr6+vLHgghAtp3LgxNpsNf39/Nm/ezJNPPimDAi7qtddeq7QLHvwZaWSFZUVGRvLBBx8Ahd/kc+fK3O6uRGvNc889R0xMDB4eHixfvlwWPBDCxdx5552sXr0aLy8vlixZwosvvmg6kihm9uzZjsGad955p/ItePAnpJEVljZs2DBeeeUVAEaPHs2KFSvMBhIO06ZN46233gJg3rx59OnTx3AiIcSVdO/enXnz5gGF37dvvvmm4UTioqVLlzJmzBgAJk6cyNixYw0ncj3SyArLmzBhAqNGjUJrzWOPPUZcXJzpSJXe+++/7xjZefvttxk2bJjhREKIaxk6dCjTpk0D4Pnnn5czXC4gLi6Oxx9/HICxY8cyceJEw4lckzSywvKUUsyaNYvBgweTl5dHv3792Lp1q+lYldbHH3/MqFGjAHj55ZcZN26c4URCiOvx3HPP8dJLLwGFZ7iWLVtmOFHltX37dvr3709+fj6DBw9mxowZKKVMx3JJ0sgKt+Dh4cGCBQvo3bu3Y/Wv3bt3m45V6SQkJDB48GC01owaNYrJkyebjiSEKIEpU6YwZswYtNYMGTKE9evXm45U6Xz11Vf06tWLc+fO0atXL1k45k/IkRFuw8vLixUrVvDAAw+QkZFBZGQkBw4cMB2r0ti2bRsPPfQQeXl5PPLII8yaNUtGEISwmItLgg8ZMoT8/HwGDBjA5s2bTceqNL777ju6d+9OWloaXbp04eOPP6ZKlSqmY7k0aWSFW/H19WXdunV06NCBM2fOEB4ezuHDh03Hcns7duygR48eZGdnExUVxUcffSQjCEJYlIeHBzExMTz44IPk5OTQu3dvdu7caTqW2/vhhx8ICwsjJSWF4OBgPv30U6pWrWo6lsuTnzTC7fj7+2Oz2WjTpg2nTp0iNDRUmtlylJSURFRUFJmZmYSHh7NmzRoZQRDC4ry8vFi+fDnh4eFkZmYSERHBrl27TMdyW4cOHSIsLIzTp0/Ttm1bEhMTZfXD6ySNrHBLQUFBJCYm0qJFC44fP05ISIg0s+Vg9+7dREREkJGRwQMPPMC6devw9fU1HUsI4QQ+Pj6sXbuW+++/n7S0NMLDw6WZLQc//fQTYWFhnDx5ktatW/PZZ59Rs2ZN07EsQxpZ4bbq1KnDli1baNGiBSdOnCAkJIQff/zRdCy3sXfvXrp37056ejohISFyGkwIN+Tn54fNZqNLly6kp6cTHh4ulxk40ZEjRwgNDeXEiRPccccdfPbZZ9xwww2mY1mKNLLCrd14441s3bqVO+64w9HMHjp0yHQsy9u1axfdunXDbrfTuXNnYmNjqVatmulYQohy4Ofnx4YNGwgJCSE9PZ3u3buTlJRkOpblHT58mJCQEH777TeaN2/O5s2bqV27tulYliONrHB7F0dmW7ZsSXJyMqGhoRw8eNB0LMv6/PPP6dq1K2fPnuW+++5jw4YN+Pv7m44lhChHfn5+xMXFERoa6mhmv/jiC9OxLOvbb7+lc+fOHDt2jNtuu40tW7Zw4403mo5lSdLIikqheDPbuXNn9u7dazqW5dhsNiIjI8nMzKRr165s3LiR6tWrm44lhKgARZvZjIwMwsPDiY+PNx3Lcvbu3UuXLl04deoUbdq0Yfv27dStW9d0LMuSRlZUGrVr12br1q3cfffdpKSkEBoaKiuAlcCaNWvo06cP586dIzo6mtjYWPz8/EzHEkJUoGrVqhEXF0dkZCTZ2dlER0ezfPly07Es44svviAsLIzU1FTat2/P1q1bqVOnjulYliaNrKhUatWqxZYtWxwjCpGRkaxbt850LJf34YcfMmDAAHJzcxk4cCCrV6+W2QmEqKSqVavG+vXrefTRR8nLy2PQoEG89957pmO5vLi4uEtukN20aRM1atQwHcvypJEVlU716tWx2Wz06dOH8+fP07dvX+bPn286lkvSWjN+/HiGDx9OQUEBTz75JEuWLJF5YoWo5KpUqcLixYt56qmn0FozevRoXn31VbTWpqO5pPfff5/evXuTlZVFZGQkNptNLstyknJtZJVSLyulkpRSWUqps1d5TiOlVKxSKlMplaKUelcp5V3sOV2UUvuUUueUUkeUUiPLM7dwf76+vqxatYonnnjC0aD985//pKCgwHQ0l5GTk8PQoUOZMmUKABMmTGDevHl4enoaTiZKSil1/4U6e0IppZVSfUxnEtbn4eHBzJkzmTBhAgATJ05k2LBh5OTkGE7mOrTWvPTSS4wcOZKCggKeeOIJ1q9fL1MVOlF5j8h6A6uAK55zUEp5AhsAP6ATMBDoC7xd5Dm3ADZgB3An8DrwrlKqb7kmF27Py8uLmJgYXnrpJQBee+01HnnkEbKzsw0nM89ut9OjRw8WLVqEp6cn8+bNY9KkSSilTEcTpeMHfA2MMR1EuBelFJMmTWLOnDl4enqycOFCwsPDSU1NNR3NuPPnzzNkyBCmTp0KwCuvvEJMTIyc0XI2rXW5b8BQ4OwV9kcC+UC9IvsGAueAgAv/ngb8UOx1c4GdJfj4AYC22+1aiCtZuHChrlKligZ0+/bt9cmTJ01HMubgwYP6tttu04D28/PTNpvNdCSXZrfbNaAv1ixX3y5k7VOK10kdFdcUHx+vq1evrgF966236h9//NF0JGNOnDihO3TooAHt6empY2JiTEdyeaWtpaavke0AfKu1PlFk30bABwgu8pzEYq/bCNytlLrirzVKKR+lVMDFDZALUcQ1Pf74444L73fv3s0999zDnj17TMeqcHFxcbRr145Dhw7RoEEDtm/fTmRkpOlYwgCpo6KkIiIiSEpKolGjRhw+fJj27dtjs9lMx6pwu3btIjg4mJ07dxIUFITNZmPYsGGmY7kt043sTcCpoju01meAnAuPXfE5F/7tBdS6yvu+CNiLbL85Ka9wY126dGHXrl00a9aMY8eO0alTJ+bMmVMpbl4oKChgypQpREdHk5aWRqdOndi7dy933XWX6WjCHKmjosRatmzJ7t27ad++PWfOnKFHjx5MmDCB/Px809EqxPz58+nSpQvJycm0aNGCPXv2EB4ebjqWWytxI6uUeuXCzQLX2u4uwVteqUtQxfYXf466yv6LpgKBRbYGJcgjKrFmzZqxZ88eHnroIXJzc3nqqad47LHHyMzMNB2t3Jw6dYqoqCjGjx/vuPt48+bNssqMiyuHWlyc1FFRKjfddBPbtm1j9OjRAEyePJnIyEhSUlIMJys/6enpDBkyhCeffJKcnBz69OnDrl27uPXWW01Hc3ulGZGdBdz+J9u31/leJ/nvyCsASqkaQBX+Owp72XOAOkAe8MeV3lRrfV5rnXZxA9KvM48QBAYGsnr1at566y08PT1ZunQpwcHBfPnll6ajOV1iYiKtW7dm48aN+Pr68uGHHzJ79my8vb3//MXCNGfW4stIHRVl4ePjw+zZs1myZAnVqlVj06ZNtGnTho0bN5qO5nT79u3jrrvuYvHixXh4eDBlyhTWrFkj02tVlJJcUFvajT+/2atukX0Pc/nNXt8Xe917yM1eogJs27ZN161b13HB/qRJk3Rubq7pWGWWmZmpx40bd/HCet2yZUv97bffmo5lSXKzlxDX9s033zhuIAX0U089pTMzM03HKrPc3Fz9xhtvOG4Ubtiwod6xY4fpWJZV2lpa3gWzEdAWmEDhb/NtL2z+Fx73BL4BPqNwaq0HgGPAzCLvcQuQCUyncIRhGIXX0PYtQQ4pwKLUUlJS9IABAxxFuF27dvrAgQOmY5Xa559/rps2ber4fEaPHq2zsrJMx7IsKzSygH+R+quB/73w90YleA+po6LUMjMz9ZgxYxx1p1mzZnr79u2mY5Xa/v37dXBwsOPzeeihh3RqaqrpWJbmqo3swov/ycW2kCLPaQTEAVkUXiowE/Ap9j5dgK+A88AvwMgS5pACLMqkoKBAL126VAcGBjpGZ5955hmdnp5uOtp1S0lJ0SNGjHB8H9avX1/HxcWZjmV5FmlkQ65SixeW4D2kjooyS0xM1PXq1XN8DQ4dOlSfPn3adKzrlpGRoV9++WXt5eWlAR0UFKQXLFigCwoKTEezPJdsZF1lkwIsnOXYsWP6wQcfdBThhg0b6uXLl+v8/HzT0a4qJydHz5gxQ9eoUcORe8SIEfrs2bOmo7kFKzSyztikjgpnSU1N1cOHD3fUo5o1a+rZs2frnJwc09GuKj8/Xy9evFjXr1//klHY5ORk09HchjSyUoBFBYqLi9ONGzd2FLQ777xTJyQkuNRv5fn5+XrlypWXXJvWunVr/fnnn5uO5lakkRWidJKSknSbNm0c9alJkyYuNzBQUFCgExMTdbt27Rw5GzdurNesWWM6mtuRRlYKsKhgmZmZ+tVXX3WsZAPoTp066fXr1xstxLm5uXrZsmW6RYsWjly1a9fW77//vs7LyzOWy11JIytE6eXm5upZs2bpOnXqXPIL9+LFi42O0BYUFGibzabvvfdeRy5/f389depUnZ2dbSyXO5NGVgqwMOT333/X48aN0z4+PpfcyDBr1qwKvfg/OTlZT548WTdo0MCRIzAwUE+YMEEuIyhH0sgKUXbp6el68uTJOiAg4JLr+KdOnapPnDhRYTnOnDmjZ8yYoZs3b+7I4evrq//2t79VaI7KqLS1VOnCAuXWLiyvaLfb7QQEBJiOI9zU8ePHmTlzJnPnzsVutwPg7e1NdHQ0gwYNolu3bvj5+Tn1Y9rtdtavX8+qVatISEggLy8PgBtuuIG///3vjB07lsDAQKd+THGptLS0i8c4UBfOt+qWpI6KipCamsrcuXOZOXMmJ0+eBMDDw4Pw8HAee+wxIiMjqVGjhlM/ZlZWFvHx8axcuZLY2Fiys7MB8Pf3Z8SIETzzzDPcdFPx6eyFs5W2lkojK4STpaens2DBAmJiYjhw4IBjv7e3NyEhIXTt2pX27dsTHBxc4sb2zJkzfP3112zbto0tW7awc+dOcnNzHY937NiRUaNG0a9fP3x9fZ32OYmrk0ZWCOc7f/48y5Yt48MPPyQpKcmx39PTk44dO9KtWzfuvfde7rnnHoKCgkr03hkZGXzzzTds376dLVu2sGPHDkfzCtCqVStGjRrF4MGDZVGDCiSN7DVIARam7N+/n0WLFvHJJ59w9OjRSx7z8PCgcePGNGnShL/85S/UrFmTgIAAqlWrRl5eHjk5OdjtdpKTkzl+/DiHDh3i2LFjl32M22+/nYcffpj+/fvTokWLCvrMxEXSyApRvg4fPsyiRYtYu3Yt33///WWPN2rUyFFHa9WqRUBAAP7+/uTl5ZGbm0t6ejrJycmcOHGCH3/8kSNHjlz2HjfffDMDBgygf//+3H333SilKuJTE0VII3sNUoCFaVprDh48iM1mIykpid27d3P8+PFSvVejRo3o0KEDYWFhhIWF0bRpUyenFSUhjawQFefo0aPYbDZ27NjBnj17rtiUXo+6devSrl07wsLCCA0NpWXLltK8GiaN7DVIARauKDk5mcOHD/Pzzz9z9OhR7HY7drudrKwsqlSpgre3N/7+/tSrV4969epxyy230Lp1a7nm1cVIIyuEOSkpKY5R1l9++YXU1FTS0tLIyMhw1NGqVas66ujNN99Mq1atqF27tunoohhpZK9BCrAQorxIIyuEEGVX2lrqUX6RhBBCCCGEKD9epgNUpLQ0tx0sEUIYUtnqSmX7fIUQFaO0taWyXFpQH/jNdA4hhFtroLUu3R18FiB1VAhRQUpUSytLI6uAekD6db6kOoUFu0EJXiMuJ8ex7OQYll1FHMPqwAntxgW1FHUU5OvXGeQYlp0cw7KrqGNY4lpaKS4tuHBArr+7/+8UHOnufPNGeZPjWHZyDMuugo6h2//flLSOgnz9OoMcw7KTY1h2FXgMS/zecrOXEEIIIYSwJGlkhRBCCCGEJUkje2XngUkX/hSlJ8ex7OQYlp0cQ3Pk2JedHMOyk2NYdi57DCvFzV5CCCGEEML9yIisEEIIIYSwJGlkhRBCCCGEJUkjK4QQQgghLEkaWSGEEEIIYUnSyF6BUmq0UuoXpdQ5pdQ+pVRn05msQin1olLqS6VUulLqtFJqnVLqNtO5rOzCMdVKqRmms1iNUqq+UmqJUuoPpVSWUmq/UirYdK7KQOpo6UkddT6po6Xn6nVUGtlilFIPAzOA14A7gR1AvFKqkdFg1tEFmA3cC3SjcPW4RKWUn9FUFqWUugf4H+CA6SxWo5SqAfwfkAtEAi2AfwBnTeaqDKSOlpnUUSeSOlp6VqijMv1WMUqp3cBXWutRRfb9AKzTWr9oLpk1KaVqA6eBLlrr7abzWIlSyh/4ChgN/BPYr7X+u9lU1qGUegO4T2stI4EVTOqoc0kdLT2po2VjhToqI7JFKKW8gWAgsdhDiUDHik/kFgIv/JlqNIU1zQY2aK0/Mx3EoqKBvUqpVRdOz/5bKTXcdCh3J3W0XEgdLT2po2Xj8nVUGtlL1QI8gVPF9p8Cbqr4ONamlFLAdOALrfW3pvNYiVJqIHAXIKNXpfcXYBRwGOgOzAXeVUoNMZrK/UkddSKpo6UnddQpXL6OepkO4KKKX2+hrrBP/LlZQGugk+kgVqKUagi8A4Rrrc+ZzmNhHsBerfVLF/79b6XUHRQW5UXmYlUaUkedQ+poKUgdvKh9NwAAAchJREFUdRqXr6MyInupFCCfy0cN6nD56IK4BqXUTApPSYRqrX8zncdigin8mtunlMpTSuVRePPH0xf+7Wk2nmUkA98X2/cDIDcclS+po04idbRMpI46h8vXUWlki9Ba5wD7KLxLtKhuQFLFJ7IeVWgW8BAQprX+xXQmC9oMtALaFtn2AkuBtlrrfIPZrOT/gOJTFjUD/mMgS6UhdbTspI46hdRR53D5OiqXFlxuOrBYKbUX2EnhlB2NKLwuRPy52cCjQG8gXSl1cVTGrrXONhfLOrTW6cAl18IppTKBP+QauRL5F5CklHoJWAm0o/D7+X+MpqocpI6WjdTRMpI66jQuX0dl+q0rUEqNBp4D6lL4jfC/MuXJ9VFKXe0L6gmt9cKKzOJOlFKfI9PGlJhSqicwFbgV+AWYrrWeZzZV5SB1tPSkjpYPqaOl4+p1VBpZIYQQQghhSXKNrBBCCCGEsCRpZIUQQgghhCVJIyuEEEIIISxJGlkhhBBCCGFJ0sgKIYQQQghLkkZWCCGEEEJYkjSyQgghhBDCkqSRFUIIIYQQliSNrBBCCCGEsCRpZIUQQgghhCVJIyuEEEIIISxJGlkhhBBCCGFJ/w8hHZFXLC2irwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 700x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2,figsize=(7,3),dpi=100,\n",
" sharex=True)\n",
"subdemo(axes)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can also share the `y` axis, but it won't look good for this since they are different scales so this won't look good"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2,figsize=(7,3),dpi=100,\n",
" sharex=True,sharey=True)\n",
"subdemo(axes)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fancy Subplots\n",
"\n",
"There are a few ways to do this. \n",
"\n",
"* `gridspec` -- General purpose\n",
"* manually\n",
"* add subplots where you want -- doesn't have spans\n",
" * Regular subplots and then \"clear\" axis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### `gridspec`\n",
"\n",
"Based on <http://matplotlib.org/users/gridspec.html>. You seem to have to rely on the `plt` tools to make all of the axes"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"ax = [None for _ in range(6)]\n",
"\n",
"ax[0] = plt.subplot2grid((3,4), (0,0), colspan=4)\n",
"\n",
"ax[1] = plt.subplot2grid((3,4), (1,0), colspan=1)\n",
"ax[2] = plt.subplot2grid((3,4), (1,1), colspan=1)\n",
"ax[3] = plt.subplot2grid((3,4), (1,2), colspan=1)\n",
"ax[4] = plt.subplot2grid((3,4), (1,3), colspan=1,rowspan=2)\n",
"\n",
"ax[5] = plt.subplot2grid((3,4), (2,0), colspan=3)\n",
"\n",
"for ix in range(6):\n",
" ax[ix].set_title('ax[{}]'.format(ix))\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Manually\n",
"\n",
"This example will be less complex to make life easier... In this case, you create the axes from the parent fig"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"ax = [None for _ in range(3)]\n",
"\n",
"ax[0] = fig.add_axes([0.1,0.1,0.9,0.4]) # Bottom\n",
"ax[1] = fig.add_axes([0.15,0.6,0.25,0.6]) # They do not *need* to be in a grid\n",
"ax[2] = fig.add_axes([0.5,0.6,0.4,0.3])\n",
"\n",
"for ix in range(3):\n",
" ax[ix].set_title('ax[{}]'.format(ix))\n",
" \n",
"# fig.tight_layout() # does not work with this method"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Add subplots \n",
"\n",
"Can also do grids but harder (though not impossible) to do spanning"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"ax = [None for _ in range(3)]\n",
"\n",
"ax[0] = fig.add_subplot(2,2,1)\n",
"ax[1] = fig.add_subplot(2,2,2)\n",
"ax[2] = fig.add_subplot(2,2,3)\n",
"\n",
"for ix in range(3):\n",
" ax[ix].set_title('ax[{}]'.format(ix))\n",
" \n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Regular plots with \"cleared\" axis"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2)\n",
"ax = axes[1,1]\n",
"ax.set_frame_on(False)\n",
"ax.set_xticks([])\n",
"ax.set_yticks([])\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### No Spacing Demo"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 9 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(3,3,sharex=True,sharey=True)\n",
"\n",
"np.random.seed(282)\n",
"X = np.random.normal(size=(30,3))\n",
"\n",
"import itertools\n",
"for ix,iy in itertools.product(range(3),range(3)):\n",
" ax = axes[ix,iy]\n",
" ax.plot(X[:,ix],X[:,iy],'ko')\n",
"\n",
"for ax in axes[-1,:]:\n",
" ax.set_xlabel('x')\n",
"for ax in axes[:,0]:\n",
" ax.set_ylabel('y')\n",
"\n",
"#fig.tight_layout(h_pad=0,w_pad=0)\n",
"fig.subplots_adjust(hspace=0,wspace=0)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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A+HWcpX68m6SQichrJq/j4ClRTXClaH146bETkVs7d0Pd3t4BAGcpJajOPfYV3xWYIvT6AeHXMfT6OcPdUOvFy+ApUahSzbFzpWgauPKUiK7hStF6qXVgF5GTInJJREYiEszsDhE5JiKXReSKiDzhuz47ichPROSvInLRd112EpHbROS3IrK29W/7mO86hYArReul1oEdwEUAXwfwiu+KbBORPQB+BODLAI4AOCUiR/zWapfnABzzXYkCHwJ4XFUPA7gLwHcCPH/OcXuHeqn1rBhVXQM284wB+QKAK6r6BgCIyE8BfA3A/3qt1RhVfUVEWr7rkUdV3wTw5tZ/vysiawBuRUDnz5dOp8NAXhN177GH6FYAfx77eX3rd1TS1pfP5wH83m9NiNxKvscuIi8D+HTO/1pW1Zdc18dA3u0Dpy6VJCKfAPAzAN9V1b/7rg+RS8kHdlW913cdSloHcNvYzwcB/MVTXaIkIovYDOqrqvpz3/Uhco2pmPC8CuBzIvIZEdkH4BsAfuG5TtGQzQGTZwGsqer3fdeHyIdaB3YROSEi6wCOAviliHh/jL2qfgjgUQDnAKwBOKuql/zW6noicgbAeQCHRGRdRL7lu05jvgjgQQBfEpHXt8px35WahHu4kG1ceUo0xvXK0517uACb88s5FZHycOUpUQS4h0s5vLsxk/zgKVHIrl69Wur3dcYdKs2xx07kEfdwMce7G3MM7EQecQ8Xc7y7McfATuQR93Axx7sbcwzsRJ51Oh0MBgOMRiMMBgMG9QK8uzHHwE5JC3mLYSqHdzfmGNgpdc8h3C2Ggxbi1ELe3ZjhdEdKWshbDIeMUwvjxh47Ee3CqYVxY2Cn2hORroj0RaS/sbHhuzpB4NTCuDGwU+2p6oqqtlW1ffPNN/uuThA4tTBuDOxEtAunFsaNgZ2SFvgWw8Hi1ML5+ZxVxG17ica43raX0lTVdszctpeIyBPfs4oY2ImILPM9q4iBnYjIMt+zihjYiYgsK5pVdPz4cScDqtxSgIjIsu0B0uXlZVy9ehXNZhPHjx/H888/72SbBs6KIRrDWTFUlVarheFwuOv3WZZhMBgYfQZnxRARBcTlgCoDOxGRAy4HVBnYiYgccLlNAwM7USBCfLAF2eNymwYOnhKN8TV4WtUSdEoLB0+JIuJ7CTqlhYGdKAAuZky4SvVUeRymqwypKgsLy1ZZWlpSH7IsUwC7SpZlU9/b6/U0yzIVEc2yTHu9Xu5rGo3GdZ/daDRyXzuPKo/j6m8IGYC+GrRj7xcSC0tIxVdgnzVomb5vni+OMqo8jqu/IWSmgZ2Dp0RjfK48XV1dvW4J+unTp6cOnJquZlxYWEDetS4iGI1Gc9fdxXFc/Q0h4+ApUWQ6nQ4GgwFGoxEGg4HRbBjT3LyrxTFVHsf3jokxYWAniphpsHO1OKbK4/A5rCWY5GtYWOpSfOXYZ1UmN28yyGqrTlUdx9XfECowx05UXoy7O86Sm6c4McdOFDhbc7Jnyc1T2vigDSIPdm4hUOVDF6h+2GMn8iDGLQS46jMe7LETeeD7KfZl8Q4jLuyxE3kQ25zsGO8w6oyBnciD2OZkx3aHYUus6ScGdiJDNi9ylw9dsCG2OwwbttNPw+EQqnot/RRFcDeZ7M7CEnMBcAzAZQBXADwx6bVFC5TqvrNgHf/+EDcdA3d3ZGFRANgD4E8APgtgH4A/ADhS9PqiwB7iRe5a3VZ9ikjuv7mIeKuTaWDnylNKmogcBfBfqnrf1s9PAoCqPpX3+qKVp9xZsH5Md850iStPiTbdCuDPYz+vb/3uGhHpikhfRPobGxu5H1LHHHNMqhjkjG2A+zom3XoWllgLgJMAfjz284MAflD0eubY5+c6ZVP1U5tCSj+BOXYWFgWAowDOjf38JIAni14/aXfH0C7yEPn4AqzT+IdpYGeOnZImInsB/BHAvwH4PwCvAvgPVb2U9/oYd3cMiY+8dJ3GP5hjJwKgqh8CeBTAOQBrAM4WBXWan4+FTBz/2I2BnZKnqr9S1TtU9XZVjWDkK14+gmzUg5wVYWAnImt8BNnYVvG6wBw70Rjm2OfHJzpVhzl2Ioti3QzKBz7RyT/ux040Bfcip9iwx040xaS9yNmTpxAxx040Ji/HXjRPGtgcGBwP+o1Go/YDd1Qd5tiJLCmaqrdnzx4+VYiCxMBONEXRFL6PPvoo9/WpP1WIwsfATjRF0TzpLMtyX1/nFY/j5h1/4PjFHEw2lGFhqUuZtAnYTtzxsdi85ybv/YuLi7p///5ab8IG7u7IwlK+lAnsqtzxsci8Oy4Wvb/uX6KmgZ2zYojGcOWpHfPuuDhpJtI4n08z8oGzYojIqjI573k3AzN9HQeq8zGwE9FU26tvh8MhVPXa6tui4D7vZmB578/DgeoCJvkaFpa6lLI59rqYJWc+7/jD+Pv379+v+/btY46dOXai8phjzxfCU4q4a6R5jp2BnWgMA3s+H4+8o904eEpE1vApRXFhYCdKkO1Vm3xK0WTBrZI1ScSzsNSlpDB4yhWxbrk83zAcPGWPnSgxk/aPD9nOXu+3v/3tsHrBBUI83xw8JRqTwuBpCDNYTG3PdBkOhxCR3HpvC3Wve5fnm4OnRDU176pPV8YXPQGYGNQB/73gIiGebwZ2osTEMoMlL4UxTYhbCIR4vhnYiRITywyWWYJ0aHcdgJ3zbX1WjckIKwtLXUoKs2JiYbI1L2ows6fMrBpwVgzVnYicFJFLIjISkakDTuRWXgpDRABsrmh95JFHgr/rsKGKWTV7560UUcAuAvg6gGd8V4R22w7Sdd//pSglNc94AgM7JUtV14CPe4EUnk6nU7tAvlOz2czdh2ee8QSmYoiIPKpiVg0DO0VNRF4WkYs55WslPqMrIn0R6W9sbFRZXaJdqpjFxJWnlDwR+R2A/1TVqUtKU1h5SuniylMioppiYKdkicgJEVkHcBTAL0XknO86EbnAwE7JUtUXVfWgqt6gqv+oqvf5rlOMgttrnKbidEciKrS9Udf2AprhcIhutwsAtZ+mGDL22ImoUIh7jdN0DOxEVKiKVZFUPQZ2IioU4l7jNB0DOxEVCnGvcZqOgZ2ICsWytztdjytPicZw5SmFzHTlKQM70RgR2QCwe6s9/w4AeNt3JQqwbrOZpW6Zqt487UUM7EQREJG+SU/NB9ZtNlXWjTl2IqLEMLATESWGgZ0oDiu+KzAB6zabyurGHDsRUWLYYyciSgwDO1EkROSkiFwSkZGIBDHTQ0SOichlEbkiIk/4rs82EfmJiPxVRC76rstOInKbiPxWRNa2/j0fs30MBnaieFwE8HUAr/iuCACIyB4APwLwZQBHAJwSkSN+a3XNcwCO+a5EgQ8BPK6qhwHcBeA7ts8bAztRJFR1TVUv+67HmC8AuKKqb6jqBwB+CsD4IeJVUtVXAPzNdz3yqOqbqvra1n+/C2ANwK02j8HATkSzuhXAn8d+XoflAJU6EWkB+DyA39v8XD5BiSggIvIygE/n/K9lVX3JdX2mkJzfcZqdIRH5BICfAfiuqv7d5mczsBMFRFXv9V2HEtYB3Db280EAf/FUl6iIyCI2g/qqqv7c9uczFUNEs3oVwOdE5DMisg/ANwD8wnOdgiciAuBZAGuq+v0qjsHAThQJETkhIusAjgL4pYic81kfVf0QwKMAzmFzAPCsql7yWadtInIGwHkAh0RkXUS+5btOY74I4EEAXxKR17fKcZsH4MpTIqLEsMdORJQYBnYiosQwsBMRJYaBnYgoMQzsRESJYWAnIkoMAzsRUWIY2ImIEvP/wE/AT7mqAEQAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure()\n",
"\n",
"axes = []\n",
"\n",
"np.random.seed(282)\n",
"X = np.random.normal(size=(30,3))\n",
"\n",
"import itertools\n",
"for ii,(ix,iy) in enumerate(itertools.combinations([0,1,2],2)):\n",
" ax = fig.add_subplot(2,2,2*ix+iy)\n",
" ax.plot(X[:,ix],X[:,iy],'ko')\n",
" axes.append(ax)\n",
"\n",
"\n",
"#fig.tight_layout(h_pad=0,w_pad=0)\n",
"fig.subplots_adjust(hspace=0,wspace=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pcolor(mesh) & Colorbar (and nice colormap)\n",
"\n",
"Consider the following for making a nice `pcolor`-type plots with a colorbar. The colormaps are set with `cmap=plt.cm.Spectral_r` which is the nice one from ColorBrewer\n",
"\n",
"### Setup & Defaults"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(362423)\n",
"A = np.random.uniform(size=(6,8))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 900x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,(ax1,ax2,ax3,ax4) = plt.subplots(1,4,figsize=(9,3),dpi=100)\n",
"\n",
"ax1.pcolormesh(A)\n",
"ax2.pcolormesh(A,cmap=plt.cm.Spectral_r)\n",
"ax3.pcolormesh(A,cmap=plt.cm.Spectral_r,edgecolor='k')\n",
"ax4.pcolormesh(A,cmap=plt.cm.Spectral_r,shading='gouraud')\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Colorbars"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Standard colorbar\n",
"\n",
"The size of the figure was selected to show the problem with scale\n",
"\n",
"Also, since this invokes `fig`, it doesn’t play nice with subplots"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x11cd23e80>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 300x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(1,1,figsize=(3,5),dpi=100)\n",
"pl = ax.pcolormesh(A,cmap = plt.cm.Spectral_r,edgecolor='k')\n",
"ax.axis('image')\n",
"fig.colorbar(pl)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Scaled Colorbar\n",
"\n",
"This example scaled the colorbar. It also plays nicely with subplots (not demoed)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 300x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(1,1,figsize=(3,5),dpi=100)\n",
"pl = ax.pcolormesh(A,cmap = plt.cm.Spectral_r,edgecolor='k')\n",
"ax.axis('image')\n",
"\n",
"from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
"divider = make_axes_locatable(ax)\n",
"cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n",
"cbar = fig.colorbar(pl,cax=cax)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Set ranges"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 300x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(1,1,figsize=(3,5),dpi=100)\n",
"pl = ax.pcolormesh(A,cmap = plt.cm.Spectral_r,edgecolor='k',vmin=-1,vmax=2.2)\n",
"ax.axis('image')\n",
"\n",
"from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
"divider = make_axes_locatable(ax)\n",
"cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n",
"cbar = fig.colorbar(pl,cax=cax)\n",
"cbar.set_ticks(np.linspace(-1,2.2,6))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Dealing with `nan` -- DEPRECATED\n",
"\n",
"This may be deprecated in Python 3 and/or later versions of matplotlib (not sure) but here is how to do it for this"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 8.0, 0.0, 6.0)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 700x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"B = A.copy()\n",
"B[2,3] = np.nan\n",
"\n",
"fig,(ax1,ax2) = plt.subplots(1,2,figsize=(7,5),dpi=100)\n",
"\n",
"ax1.pcolormesh(B,cmap = plt.cm.Spectral_r,edgecolor='k')\n",
"ax1.axis('image')\n",
"\n",
"B = np.ma.masked_array(B,np.isnan(B))\n",
"ax2.pcolormesh(B,cmap = plt.cm.Spectral_r,edgecolor='k')\n",
"ax2.axis('image')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ticks\n",
"\n",
"### Position\n",
"\n",
"The following shows some examples of setting the tick locations\n"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x500 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2,figsize=(7,5),dpi=100)\n",
"\n",
"X = np.linspace(0,2*np.pi,1000)\n",
"Y = np.sin(X)\n",
"\n",
"for ax in axes.ravel(): #plot\n",
" ax.plot(X,Y,'-k')\n",
"\n",
"ax = axes[0,0]\n",
"\n",
"ax = axes[0,1]\n",
"ax.tick_params(labeltop=True,labelbottom=False)\n",
"\n",
"ax = axes[1,0]\n",
"ax.tick_params(labelright=True,labelbottom=False,labelleft=False)\n",
"\n",
"ax = axes[1,1]\n",
"ax.tick_params(labeltop=True,labelbottom=True,labelright=True,labelleft=True)\n",
"\n",
"# Also add ticks\n",
"ax.tick_params(axis='both',bottom=True,top=True,left=True,right=True)\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### All sides + inside"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.logspace(0,3,600)\n",
"y = 1.2**(0.04*x)\n",
"fig,ax = plt.subplots(dpi=100)\n",
"ax.plot(x,y)\n",
"ax.set(xscale='log',yscale='log')\n",
"ax.tick_params(axis='both',bottom=True,top=True,left=True,right=True,direction='in',which='both')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Grids\n",
"\n",
"Note that this is the same with and without a log scale but the log scale shows it better. The `zorder` makes sure the plot is in front of the grid lines"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,(ax1,ax2) = plt.subplots(1,2,sharey=True,figsize=(10,5))\n",
"x = np.logspace(0,3,600)\n",
"y = 1.2**(0.04*x)\n",
"\n",
"for ax in (ax1,ax2):\n",
" ax.plot(x,y,'-k')\n",
" ax.set(xscale='log',yscale='log')\n",
" ax.tick_params(axis='both',bottom=True,top=True,left=True,right=True,direction='in',which='both',zorder=10)\n",
"ax1.grid(which='major')\n",
"ax2.grid(which='both')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Labels\n",
"\n",
"Rotated text and `ha` (horizontal alignment)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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k5BWSlpJEk4zqdGpSO6bRnkpDVfnXl3MBOKt3S9rFeS43lKQk4a/HdOaKEZMZPnEJlw1oE/O1w6HkFRazcN02lm3KJbegmLSUJBrXrkbnJrWjugOLsXeTX1TM/DXbWLllxy56oGPjdBqkxy7aU2moKo+NmQfA6Qe0jPtcbigBPXDZ8F8YMWkpfx7YNi5rh4MJ1QOpyULj2tXp0nTv1QN7tdFdl5PHqF9XMWb2WqYt20xhsZaab79mGRzfvSnnHphJ4zgYk6/nrOPHxZtIS0nihgTr5QYY3LUxvVvVZeqyLTw+Zh6PntUz5jLkFRYz+rfVfDRtFT8u3khBUUmp+do1qsVRXZtwSs/mdG9RJ8ZSGonG+px8Pvl1JV/NXsvU3eiBrkF6IB6Nyu/mrWPCwo2kJScl3GhXgEGdG3Fgm3r8krWZf305jyfO6RVzGfKLihk9cw0fTVvJj4s3kl+WHmhYiyO7NObUXi3o3iIDEYmxpOEhqqX/QPd4ochQ4FagGTALuElVx5fjugxg69atW8nIyAjr3lOXbebl8Yv5ctZaikt+l79ezVTaNKxFRvVU8ouKWbllBys27yDwiClJwrkHZnLD4I4xe+kKi0s49t/fs3jDdq4Z1J7bj+sSk/uGw5Slmznz+YmIwOfXH8p+zcP7/1SU/KJi3vppGc98t4gNQdGx6tdKo02DmqRXTyW/sJhVW3ewfNOuMWK7t8jg8oFtOalHc1KTw5styc7Opk6dOgB1VDW7Eo9S5YinHpi2bDMvj1/Cl7PWUBSiB1o3qEVGjVQKiopZtSWP5Ztzd9EDZ/fN5MbBHWlaJzZ6oKi4hOOeHM/Cddu46rB23HlC15jcNxx+Xb6F056dAMBn1w+MWcO2oKiEt35exjPfLdwlOla9mqm0bVhrpx5YvTWPZSE7pO3XzOmBk3s2Jy0lsfVAWEZXRM4FXgeGAhOAIcAVwH6qumwP14b9sv20eCNPfrOAiYs27kzr3aouJ/dszpFdGtOqfs0/tHY2bsvn27nrePuX5UxZuhmAWmnJ3HJMZy7p34bkpOi2jl4ev5gHP59Dg1ppjL11ELWrR3/7vspw7cipfD5jNQe1rc87Vx0S9dbjT4s3cudHM1m03m0v1qxOdc4/qBUn7N+U9o3S/3D/rbmF/LBwA//7bTVfzVpLQbFrBbesV4OhgzpwVp+WFX7pzOiGR7z0wC9Zm3jy6wX8sHDDzrRemXU5xeuB1g1K1wPfzVvPO78s45cspwdqpiVz89GduGxA26jrgVcnLOG+T2dTr2YqY289gjo1ElsP3PDWNEZNX0Xf1vV4d0g/kqJcP79kbeJvH85k4bptADTNqM55B2X6JVWl64EJizbwv5mrGTN77c5RsRZ1a3DNoPac0zczYfVAuEb3J2Cqql4TlDYH+FhV/7aHayv8sk1btpknvprP+AXuJUtJEk47oAWXD2xL12blf2F/XLyRh0fP5dflWwA4qE19nji3Jy3rRScazKotOzjqiXHkFhTz8Bn7c95BraJyn0iyYnMuRz0xjrzCEh47uydn9WkZlfvkFxXz2JfzeGm8W4zfMD2Nm47qVKGXZdP2At76eRmvTljChm3O2zKzfg1uHNyJ03o1J6WcPV8zuuERaz0wffkWHv9qPt/PXw84PXBqL6cHKjIq8/OSTTw8eg5Tlzk90Ld1Pf59bq+oRYdbm53H4MfHsS2/iAdP685Fh7SOyn0iycotOzjq8XHsKCzm0TN7cM6BmVG5T35RMU+Mmc+L4xejCg1qpXHT0Z04twJ6YPP2Akb+vIxXJ2TtHClrWa8GNw7uyOkHtEg4PVBhoysiaUAucLaqfhSU/iTQS1UPD8lfDQj2YKgNrCjPyzZjxRae/HoB38xdB7iX7JwDMxk6qH3YhrKkRHnrl2U89PkcthcUk1E9hcfP6cXR+zUJq7yyUFWuen0KX81eS5/W9XgvBq3FSPH82EU88sVc6tdK46u/HBZxB5RlG3MZOnIKv610v+vzDszkb8d3pU7N8Fr/OwqKGfnzMp4f+/vwdLtGtbj+yA6c3GPPxteMbsWJpR6YuWIrT34zn6/n/K4Hzu7bkqGDOoRtKEtKlHcmL+cfn89hW34Rtaun8NjZPTm2W9OwyisLVWXom1MZ/dsaemXW5cNr+u81euDF7xfx0P/mUq9mKl/dfDgNI6wHlm/K5dqRU5mxYisA5/RtyZ0ndKVuzfAcpPIKi3nr52U8N3bRzuHptg2dHjilZ+LogXCMbnNgJTBAVScGpd8JXKKqnUPy3wvcE1pOWS9bcYny/fz1vPzDYiYsdMPISeJ24bhhcMeItUaXbczlhren7ez1Dh3UnluO6RyxYab3Ji/n1vdnkJIkfHbDQLo0jc38aCQoLC7hpKd+YN7aHI7Zrwkv/KlPxIaZv5u7jhvfnkZ2XhH1aqbyr7N6clSEGjy5BUWMmLSUYeMWscVH1WlVvyaXD2zLGb1blDm0b0a34kRbD5SUKN8vWM8rPyzZOcKVJM7r98bBHSMWq3j5plxufHvazl7vkMPbcduxXSKmBz6atoK/vDOd5CRh1HUD6NZ873H8Kywu4eSnf2DumhyO6tqYly7uGzE9MHbeOm58+1e27iikbs1UHj2zB8dEqMGzo6CY13/M4vmxi9js9UBm/RpcPqAtZ/RpSUac9UBljG5/VZ0UlP5/wJ9UtUtI/nK3cD+atoLHx8xnxWbnLJOcJJzaqznXHdEhKstsCopK+OfoObzqIzEd1qkRT53XK+yWVoBlG3M54anxbMsv4tZjO+/cRm9vYtaqrZz27AQKizUiQ+OqyrPfLeTxr+aj6ubgnruwN83rRn5JQk5eISMmLeXl8Yt3vnQ105I5o3cLHji1+x8UhxndihNNPfDJryt5bMy8nU5zyUnCKT2bc92RHaISOrWwuISHR8/dGXf40I4Neeq8Ayq9JGX5plxOeHI8OflF3Hx0p4SJPlUR5qzO5tRnJlBQXMI/Tu/OhQdXbmhcVXlu7CIeGzMPVejZsg7PXtg7KlN82/KLGDEpi5fH/x7so0ZqMqcd0IJ/nNb9DyMOsdID4bh5bQCKgdBmSWNgbWhmVc1X1ezAAeSUVXBhsbJi8w4yqqfw5wFtGXfrIJ44p1fU1rWmpSRxz8ndePK8XlRPTeL7+es55ZkJzFkdfn3n5BVyxYhf2JZfxIFt6sVt677K0q15HW4+2nVW7h41i6nLNoddVk5eIde8MZXHxjiDe+HBrXhnyCFRMbgAtauncu0RHZh4x2DuP7Ub7RvVIregmLXZ+XvNsoK9gKjpgeISZfkmpwcuG9CGsX8dxL/P7RW1WOWpyUn8/aT9ePr8A6iRmsz4BRs4+ZkfmLVqa9hlbs8v4soRk8nJL6J3q7oMjfPmJuHStVkGtx7r9MB9o2YzZemmsMvall/EtSOn8q8vncE978BM3r26X9R8atKrpTB0UAcm3H4kD5zajQ6N09lRWMy67Ly4DvFXxpFqiqoODUqbDXxSGQeKHQXFfD5zNSf1aEb11OQKy1UZZq/K5qrXJ7Ni8w6qpSTxwGndObtPywop6fyiYq5+fQrfzVtP49rVGHXdwJgtSYgGJSXKkDfcvHTD9Gq8f3U/2jSsVaEy5qzOZuibU1myYTtpyUncf2q3mDuUqSo/LdlEerWUUpc/WE83PKKlB/IKi/lsxmpO3L8ZNdJiqwfmrM5myOtTWLYpl7SUJO4/pRvnHphZIT1QUFTC0Den8PWcdTRMr8ao6wZErYEZC0pKlGtHunnphulpvDukX4U7QnPXOD2weP12UpOF+07pzgUHx14P/LxkEzXTUti/Zfz0QGWXDF0NTAKuAq4Euqnq0j1cW+n1edFi8/YCbnrnV8Z578gTezTjwVO7l2uYKa+wmKFvTuXbueuolpLEO0P60SuzbrRFjjrb8os46/mJzF2TQ5OMarx5xSHlihtdXKK8OmEJj34xj4LiEprXqc6zF/bmgFb1YiB1xTCjGx77qh7YklvAze9O51vvwHnC/k158LT9yxXZLq+wmOtGTuPrOWtJS0nirSsPoU/rxPvNV5TcgiLOen4Ss1dn07h2NUZeeXC5ImoVlyjDJ2bxyBdzKSgqoVmd6jxzQe+ErJOENrqwc1H8bbhF8b8Bf1HV78txXcK+bOBadc+PW8S/v5pPUYlSr2Yqtx7bhbP7tiwz+MLCddu4buRU5q7JoXpqEi9ffCADOzaMseTRY31OPhe+/CPz124jvVoK/zxjf07q0azM1v/krE3c9+lsZq50w3ODuzTmX2f3jHs4zrIwoxs++7IeeOH7xTw+Zh5FJUrdmqncemxnzu5T9lKWxeu3cd3IacxenU21lCRevLgvh3dqFGPJo8eGbflc9PJPzF2TQ3q1FP5xendO6dm8TD0wZelm7v90FtO9d/IRnRvx2Nk94x6OsywS3uiGfcMEf9kCTF++hdven8G8tW7qqUXdGpzdtyVHdG5Mm4a1KC5R5qzOZtSvq/hg6gqKSpQGtdJ49sLeHNKuQZyljzwbt+Uz5PUpTPYBRg5sU4+LDmnNgW3qk1EjlbXZefyyZBMfTlvJz0vcvE/t6inccXwXLjioVULPpZrRjT17ix6YscLpgblrftcDZ/VpyRFdGtPW64G5q7MZNX0V709xeqB+rTSeueAA+rffdxreATZtL+DqN6bsfMf7tK7Hnw5pzYFt61OnRirrsvP4JWuTD+Ho9UC1FG47vgsXHWx6AMzo7pbC4hJGTFq6y/rPsjiyS2MePmP/uMR2jhVFxSU89c0Chn2/uMy4yACpycKZvVty8zGdaFw78evDjG7s2Zv0QFFxCa//uJRnv9uzHhjUuREPn9Fjr/bl2BNFxSU8/e1Cho1bVGZcZHDrqc/s3ZJbjum0V+hFM7oJRMCxY/TM1UxfsWVn9KOmGdUZ0KEh5x+USd829eMsZexYszWP1yZlMXbeeuatyaZE3ZKcjk1qc8x+TTj9gBZ7leOIGd3Ys7fqgc9nrOZ/IXqgSUY1rwdacWAV0gPrsp0e+Hbu73qgRmoynZqkc/R+TTi9d0tamB74A3EzusuXL99rXrZQdvgtpsobXmxfRlXZUVhMjdTkhB462h3Z2dlkZmaCGd2YYXpg3yKgB6qnJO81EbdCiZUeiIfRbQGsiOlNDaN8tFTVlfEWoipgesBIYKKqB+JhdAVoTtmL42vjXsaWu8kTaxJRJkhMuRJRJtizXLWBVRrrF6KKYnogoiSiXIkoEySAHoj5Jvb+YcpsRQQNUeYkylBfIsoEiSlXIsoE5ZIrYWStCpgeiByJKFciygSJoQdsMsIwDMMwYoQZXcMwDMOIEYlodPOB+/zfRCERZYLElCsRZYLElcsonUT8fyWiTJCYciWiTJAAcsXckcowDMMwqiqJ2NM1DMMwjH0SM7qGYRiGESPM6BqGYRhGjDCjGyYiMkBEZopIoYh8LCKDRERFZO/fRDeCiEhNEflARLID9SMiWSJyU7xlMwzDiDV7hdFNUIP2BPAr0Ba4FJiI21N0axxlSkQuAQ4F+vN7/RwIvBhPoQDM+BuGEWtiHpFqH6I9MExVg+PHromXMMGISJqqFsRbDk97YI6q/haUtj5ewhjxQUQkkUJsJpo8iU6i1leiyrVbVLXcBzAWeAp4FNiEMzL3huSpg+vFrMOF1PoW6BmS5y5/Pgd4GXgY+LWMe7YBNOQYHiTPD8AWn14IvBt07SCf/pk/p7ie1ikRlufSoHvV9XWwAzgu5NozgO1Auv/eAnjHyxRapgJjfb7+wPe+zOX+f1ArqNws/wzDfVmv+fT9ff3vADYCq4AXgGd8nW0EHsQvHfPX1ANGAJuBXGA00DHofGvgU39+OzALOGE3v5fSnicLuMl/fgt42+d9Jki2EmAUIP64zV9X5I/8CMumQefKU993Av/F/WaWAVdV5F2qCgfQATg36LvES5ZElCcM+Y8HTq/q9ZWocpVb/go+7Fiv1O8BOgIXe+V4dODhcUZwFNDX53kM2ADU93ku9MrsMqATcLcvsywjl4wzVurzN8VtvQSwFCjGGYkjccZegVv8+UH++ybgKuA4r0QLKylPU5/nRv+5RtC96vp87wOvh1z7PjDSf64JzAdeAXrihmA/ABb4utsA3I/MRgoKAAAgAElEQVQznDnATb4++wNTgVeDys3y8vzV/yA7+PJX+jK7+/rZ4Z/9P0Bn/+zbgSuDyvoEmO3l6Ql84WVK9ec/A8Z4udoBJwGHlVFX9f3/ZKKvp/pB8gaM7kk44z7eP+d/gCFAQUA24B/AHF/OAuAhnNH9qZKyLQf+7mVr6tPLW98bgaG+ru/A/Q67xPuFTpQDyPT/jylA76D0JJMn7Ge4AKdvz4rBvVoG1VffRKmvRJWrQs9QwQceC4wPSfsZeNh/PhKn/KuF5FmI7wkAPwLPhJz/gTKMnD8/iCCD5tNqeUX3a0jedcAs//kv/rrjgs6f4NOGhiuPz7MFuLQsGYHTvfKu6b9n4IzeCf77n4G57NrLTMMZoDm4HlsSrkHxQsi9B/pnr+6/ZwEfheS5EtfYCO6hzfAyNglKexiY7T939Of7B51v4GU6O6iMeyrwm/kPvocblJbF70Y3FTfcPAdn7AUYCbzrZZvj6+3sYNlwIxLvV1K2nXIEpZW3vl8POi/AWuDqaL2oe9OB83MYhRvpmoUbXbk1uL6qsjwVlD0w0hMIZHQZzvCeF8V7tsE1vgtxuvtN4LZ411eiylXRI5w53Rkh31cDjf3nPkA6sDFkQ/MauLk9cD2s50LK+BlnsCvCfjijtJ+IbAtKrxn0uZP/+36QPAHnse4RlieUz3HDoKfghk/PxBnhMf58H1wvKaeUuqoDXKCqJSLSB+ggIhcG5RH/HG1xRglgcsj9uwLTVXV7UFrAyaszzkgATAJuEZFkf00RrgcJgKpuFJF5/hy4odbnReQY4GvgA1UN/U2UG1UtFJH3gPOAj3H/v1NxrXpwvfdknDEEGOPrKw2YBkRatvLW985yVVVFZA2/vwdVFhFpCzyN2yLtLtxISUvgIxEpVNX/qNeQVVGeihIqm6q+KiKbgQ9FZJOqjinj0rAQkda4KZ6GuHCJn+Dq610RKVHVx+JRX4kqVziEY3QLQ74rvxuyJJwRHlTKdVtCrglGqDiBe34C/C0o/XncnF5wnkP5fe/ErrhW70sRlmcXVLVARN7HGY+3/d93VLUoSLYpuCHeAENxLdnjVTUnKN8LOIMSyrKgz9tDzgl/fK6d4pWRXtZz7yxLVV8WkS+BE4FjgL+JyC2q+nQZ15aHN4FrgOrAaUAebr72+KA8D+Bett64lj64IeZPIyxbeet7d+9BlcQbuKdwDadhqvqWPzVfRF4GBonIMFXNq4ryVAQRqQb0wr0T3XEN8Sa4aZNAJ+MJETkC2BAJgyMimcCTuBGvf6rqcH9qpog8i6uvZ4D8GDecElKucIm09/JU3PxYkapmlZFnHnAQ8HpQWt89lBvwxE0OSpuNU3S1VXVhIFFEtuOGHMHNmQIUB/KISLpPCxjmcOQpL2/iembdgCNw84cBpgLnAutUNVtEzgSuwxnc6SH5ugU/YzmZDVwiIrWCert1/N/5QfkOARaoarGIzMb9Jg7GzZ8iIg1wIwaBHh6quhwYBgwTkX/ihrIrY3Qn4gztEThHtPd8o+UQ3DBSG9xvIAVoqKqRkq2AXX9TEH59V2lEpBluWmAb8FKQgcMv9TsR+D6GBjeh5KkIftTpVpxPx484/4MtuPd2NW56431giaqul5ChsjDv2Q5n2E4ARgQZtgDtgR2xrq9ElasyRLpl/jVuuPJjETlWRNqISH8ReVBEAobsaeByEblERDqKyF1AD8rufYFzmFLgJBFpJCLpvie4HDjcl9VeRA7ADQEGhrKn+L9vBuTBOQeBc5gJV57yMg43jPsmkKWqPwadexPnLPWJiFyMM/pvAeeJyAEi0lRE6gOPAP1E5FkR6eVlPEVE9mTk3sQZstdEpLtvEXfEDR/fLiKdReR84HrcjxpVXYAbOXhJRAaKSE/gDZxD1icAIvIfX5dtRaQ3bhh+TujNK4Jvna7DDc8eC4wLku3fOGe8O3AGcbiIXCYiDwHfVVK2LOAwEWkhIg19Wrj1XdVZC/wCvB1i4Brh/n8bcfP0f0BEojFCkGjylBtVLQbew/kRTFXVLsAAVb1YVa9S1Ydwo0/ni8gM4BUROX43Re4WrxefwumGL4Hfgs4li8jBuN72b2VcH5X6SlS5Kk1FJoBxjlT/CUn7GL+Ex3+vjauolbiexDKc4s4MyvN3nPNMDs5790lg0h7u/XdcK6+EXZcMjcU5JBXgFPdaYLQ/PwhnPIcFybPap/WrpDy7daQKSn/Up99XShlNgddwDh5ayjHW5zsQNxecg2u5TwfuDConixCHIJ9e2pKhF3FD8Ftxjlb/pPQlQ1twIwZfsOuynKdxvc88X98jgAa7qafdOlIFpf3snzk7VDZ/3IBr6Rf730Axbu65MrId4usyj12XDFW4vnGBUu6tyPu0rxyU4TmKm397GddbGxqUfgRudCkqXsSJJk8lnuMA/9u8JyT9H7iRuv/ipq3u9+/4KWHcozVu5cDXvqxb+N23ogFwFM6o/RTQE76u+hJF7+FElSsizxZvAXzFfEXI8hqTJyrPNZaQRlOiHIksmx1h/T+b4ObGJwDX+7SBwIe49f2TcaMQDwVdEzXv00STpwJy98F1Fu7z3y/CLZObAKwAMnz6dd5INa5g+Zm4kaI/B6XNA2biRhLn4EbsUnDTU6/iGqMrgCXAI9Gor0SVKxJHzCNSiUhN4GrccEExcD6u1XJ0rGVJRHkMYx/hMlwPcpiqPi0i3XHOcIfj1oW/IiL9cF7EG1X1cfUasorIUy5UdYqX60Xv/HUAzqhcgospMFtE+uOM8FX80cFvT+UvF5E/qWp2UHI3X1YSsFRVP/XzzG/i1q2fgRtJqgWMEpEVqvp0JOsrUeWKBPEIA6m4SfG7gGq41suZqvp1HGRJRHkMY1/gXzhHn3f897/ghgzvBR4XkRxVfVdEHsEN51c1ecqNN7xHqHO47AosV9XVInIdzgB9i/MJCfT6NouUPzxiwLB5h6wkdSssQpdRPoDzkeitqnMDiSLyNq43HnESVa7KEnOjq6o7cD3JhCDR5Ikmqjoo3jKURSLLZlQMEUlW5wz0jv/eBDdydJeqjhCRDTjnn8W4pW69RaQGkBeNXkmiyRMmgSWE04GOgWcSkatxPhr3AH9V1Swv++ci8ldVnVreG/hnLQ5O8z3JDJy3972qOlfccqYCn78W0E5EUnGrREpCy60siSpXuNiGB4ZhRBRv4IK/rxWRhbilL6jqcyKiOIemHNw86o7QckQkKRLKMtHkCYcg4/8abij5fhH5h6rmAleLyHuq+o03uK/jHDuPFJHc4B5gGPctFhd8aDt+6aaq5gOIC0JzCnC3uiA3uyy/i2Z9Japc5UE0YRpyhmHsq/j5yEych21AOV6MC5d6A85LvBtuyHedqn7l80RFQSaaPBVB3NLID3DhaicCL6qLXlcD5+EbmPf9FTePfZuqflyJ+wkuwE8GLlLeZr9E6QHcypEb/LlbcQFr5qvqMH9t1OorUeXao9xmdA3DiBaBuUURScEZgSW4ZWQ/qeo2nycTZ0QycEsO03CBEG7Z1+UJF3FBI84EJqrqBG9wP8H13p/GLdMEtwPaQHxDoqLD5UH1lYrz8E7zp9rhetQvqepPIjISFyNhLm6t/RuqeltlnnFvlKs8mNE1DCOqiEiKqhZ5BfkWbt3186r6tYh0wAU5mYEzflNxUcaewW1K8K0vI2L7piaaPOES9By1cBGqGuLWtn8e1HsPzGfvzF+J+yQD5+AM+0xgmqrm+PuPBb5W1b+JC6rzFW54d1gEHnWvkmuPcpvRNQwj2gQpyCTcRh8rcJGG3sD1KG9R1VlB+Z/Hhej8VlXf3tflCYeg3t5HuEA4f8UZ3MKgPINwS2kOxgUqekVVvwjjXjuNd1BaY1wIxhwR+Quu532Jqi4SkUtwq0FGaBRDNCaqXLsjMcNkGYaxTxEwcKpaoqrzvQNQTVzI1TEhBi4JNy/5Z+BPEoVwfokmTzgE9bRvxu3/HGpwr8JtEjIYF9lpPS7s7Mlh3CvUsKXjtt48zSd9g1sjO9B//wL4LNqGLVHl2h0J8eMxDGPfxzv7BAfnr4NbQbFzgw8RqQ3cCLTChWQ9tZTr9kl5wkVVl6jqZ8GeuuICZvwJF7d+kKr+n6oOxRnhW0WkbiWfYTtuWP48EUlTt4XmOuB6P4qwVlVXhV4Ug3oLV67QjU+ihhldwzBiRqB3JiK9VHUpblj3DhFp5x2Y/oqLtvQdcF1gzi5a86eJJk9lCer5nYqL7f4XdTsRBZaH5uGcw3LDfYag+ewrcR7gH4rIeThjt9GXX5Z8KiLVRKSViAwsK18c5CoWkU4iclwkZSpVzgT97RiGsY8iIkOB41T1FO91+wqQCvTDbbjxAS7mbsDAFZdSRjpus4tpiSCPL6c5TqeurKxMlcH3Jj/DhUoc6g1uie+hP4eL1DQ44K0d5j0CwTkCzmiNgHTgOVV9pYxrzsDth70WuBYXwGKOqh4TrhwRkut0YABube9S4CJVXRspmf6AJkAAaDvssKPqHEBn3I5XD/nv9XFhWOfjdsFK8enJpVxbD7gGeAi321QmlQxoHwF5zsU5Ks3AbSf4vzjXr+A2d/ggJP06X2enBPJV8j4pQfdLB5oEyxD6Gber13bcjm8P4LbyXAZcHuHnL69cSf7v8bgAGwuB7pGom90d1tM1DCPmiAvw8BmuZ7E/buecKcA1uvsebnecccsHTlTVb3fX+4yBPNVxW2Dm4XrI3wK34ZatDK2MTJVBRLrhImyNwG2T2RI3TH4rbjevStVX0H12BpkI8qbeuZwqKK0Rbtj3Itxa2mdV9RbfI62Da/BcFQmZyilXkrqe/364ABtbccFQXlPVv0RKjtKwMJCGYcQcVZ0mIgNwe6C2wO2nPMkrwrIMXB3c3qolOKN7HG4JT6UNSEXkCTgDeQU+ABe9SnB7aX8kIp8Ah4rIufr7BgsxRVVn+ed5AGdMinGNlNERvk9J0GcN/htk7BrgetknA+8B7wIfiMgbvt63AskicqCq/hIDuQIGt4uXZRluZKMQmC4i44GPAvkjjfV0DcNIGKSM8HwikoHbEegGXJD7ubih3P9T1ZdiJU+wwRWRU3DRj17F9XCfBK5QFwM5CRdY4y5V/Sxa8u0JEamhqjtEpLrGcJlMiMG9ATgJ+EpV7wjKUx831D08uBcaI7k64QKKrAD+qarj/fmWqrqitGsiJoMZXcMwEhlxu8c8hFu6c7aqfuTT2wMN1YX7+8MQYhTkCDW4I4CRwBOqutAbkQa4jeQnxMqQ7I5Y1Mtu7t0IGIrr4X4dYnBbAp/iHNaOVe98JmFGzaqgXLVxPW6AB1R1QtC5mrgR4Pa4mNsBuSIWq9mWDBmGkehci9v/9vQgg5usqouA+b4X3BB2GsSo6DX1iAsu8RrO4D6mqgt9lnzc2tjxItILN+Qc0zWgoYQOrcaYU4DLccFGQg3ux8AG4AZVXemHwom2wfXUwDlYfRZicJvgHOfeB0bjlhw96OWK2NpsM7qGYSQsfh73DOBhVf1Ufl9vmiYi5wPf43bbeUtE7oLIKshS5BmI21jgTZzBXezT03FOSncAV6vqrzjPZiLltLQXMhznIHVnICHI4G7F1d+34uJdvyQuZGUsWI9zftu5VMkb3PeB84BZuHn9u4GrROR2iFzDxYyuYRgJi6puxXkUh/aEbsAN704HzgKeBW4UkQd8vmj17H7EGdenQgzuX3FKeoiqvigidYHZInJulORIaALOZxq0sYA3uB/hDO7DqvqlP3UBroGy8I8lRVyuJP/bOBHn7DbEnxqCi8k8DLgCOMbLdzNwnIjUt56uYRj7NEFK7lKggYjc49OPwe2m8yFujWUXP+x8ITBYXJCKaMiToqpFqvq4qs73acEG98+q+qrPfiSQRQwMSSIS2rv387sTgC04x6XA/sS9cUPy/6eqKwIjGYEpgkhPFfhRkBR1MaobqOoL/tRhuEAd1+EM7bsichJu68d0oCgwN15ZuWzJkGEYCYlXcinqYgr3xG06AC6Y/Seqeq64aFJviosqtAC3xnaXcH+RciIKnW8UF73qftxymMtU9bWg01fg1sfODC0nERys4sAm3LD8l6r6dVB6H1yIxqmwSx23BRZFynkpGA3a7AJ2GtCtOAOLqr7k0173cq/ArcMG6AjMr4xc1tM1DCNhCVKQxao62ScLbps9VPU53HDvx8DjuP1Sl8NOL9VoDjXn4db13hRscEXkIuBA3PaABUHp0ZYnIQkaar5BVT8PSq8D/APn2fyrTzteRJ4BFojIidGSSXddx1uCG5U40jek8D3gO3Frdy9X1QJxcZmnicihQc9QYRtqRtcwjISmlF7FAiAjyIgNwy0nOhz4TVVzRaQV8LGI3BC4KJJDlUG91UNV9TlxJPt7HIrbQm6hz1tDRO4EvhW3v2uVopShZvH1dA0wCRghIr1E5EvctMEBwNlAwBBL8N8ocTtQF3hfRLqKSC1VfR73/13oPdZfBKoDJ3snvsBwdYV+V7ZO1zCMvQo/7zcVF0noZlxg/3wR6aGqM0SkHvAMcL4//5OqTvLXRmy9ZfAwcdB62D44Z6uBwBrcGtXbgdU4p69HVXVBJO6/NyMu/ONHuGHk1bg4zFtxAVBmq+pqP19eAFRX1Wx/XcT+f0GyBG+S8AluFGU08KT/n54EPI+bKvgB93+9G3hLVf9W4fuZ0TUMY28hREF+gRvi/RAXM7fIL/14FbdD0Ls4z+crgHeD14pGSbZ03DKZ9v7vLbih7h9x4Ri3eiVeQ1V3BF0XcUOS6Pje4SzcZhNPAD+r6rtB5w8HHsFNJawHxqvqI4Fro2B4UwJTGbgRk0mqmucN7nPAl8DT6vbnRUTOwRnek1V1SUXuZY5UhmHsNXiDG3CuOgYXXnC5V5jNcbvrHAgcHqQgJ+ACHbwfNC8cDbbjhh974oa7/4EzFrO9HIeIyGDgNBGZCsxU1WcCQ5RVxfDK77GPuwM9NGR7RhG5BGeIpwJ/wxnm/4hIhqr+Xwycq77zcpyHG+7+ErdJxKygS+oDrXFxwCuEGV3DMPYqdNddfz6BnXvZDsNtsXe4qs4OGv5NwW1KELVoR0HDy6fivKt/1KB9dcWt1x2C22Hn7ziF/X8i0kJV/1ZVDC7ssmynCJgGu9RfN9xuTWNxns3NVPVNEVkFPCYir6hfHx0NuYJlAc7B7TS1i8EVkX64ZWKvqurSit7HjK5hGHsdoc45uDCRJwHdVHVOkBKvCVyMm6dbFUV5NKgh8AHsHEJVoBVuW72GQHNgrqq+LiJf4NaD7hKOsCoQuvwqiAuAiap6lIhcA4wUkTNxDlftcc5O0ZYtMOd6FtA6ePhYRA7BBWL5FRecpcKY0TUMY1/gDtwerVlBBrcGbpjyLOBIVV0XzWHc0IZAUM+pF86j+RCgN86L+XJVfVdENuGGpKs0QYYu4KmcqqrPi4ji5uw/whneZbGQJ+h3UprBXYKb3w1rqsKMrmEYezVBQ5WhBvffuF7u6ep2IorXvGlLnIf1LGCWiNQCXhCRTFywhaoam7k0snCe3zVxjmfDRKQItwb7bVywiqgT+jvxw97v4wz/06r6fbhlm/eyYRj7FCKShosmdDxwlqqOibM8pwD3ASfp71vFXYNb1vSeqp4XT/kSCb8cbDKwEre71CofmKIfMFld+MZ4yJWMiz42Vn0Iy7DLMqNrGMa+hJ9L/Qq3znJUAsiTDEzEhTs8H9juncEGAPlR9qjeawhZDvYVbjnYu8Cbqpofb7kiVp4ZXcMw9hUSbelNiCEZD+QA44B/xdOQJCpB62WTcd7Dq4DvdR8yVGZ0DcMwokiIIbkNmAF8Ecne075EpHuWiYYZXcMwjCizrxsSo/yY0TUMwzCMGGG7DBmGYRhGjDCjaxiGYRgxwoyuYRiGYcQIM7qGYRiGESPM6BqGYRhGjDCjaxiGYRgxwoyuYRiGYcQIM7qGYRiGESPM6BqGYRhGjDCjaxiGYRgxwoyuYRiGYcQIM7qGYRiGESPM6BqGYRhGjDCjaxiGYRgxwoyuYRiGYcQIM7qGYRiGESPM6FYSEekvIveKSN1KlHGCiNwbQbGCyx4rImPDvPZeEdFK3Pt6EVkoIgUioiJSV0QuEJGbwi3TMOLJvvy+76Hc4SKSFea19/r3v2E58t4pIqeFc5+9BTO6lac/cA8Q9ksInODL2GcQkV7AU8B3wJFAPyAHuAAwo2vsrVTV9/0B4PQY3OdOYJ82uinxFiDREJGaqpobbzn2Abr5vy+p6s+BRBGJkziG8Ufsfd89gfpR1UXxlmVfoUr3dIOGPXqLyPsishlYFHT+FBGZJCK5IpIjIl+JSL/g64F/+a9LfFkqIoP8+XNFZIyIrBaRHSIyR0QeFpFaQWUMB671nzXoaOPTRESGisivvozNXtZ2Ic8iInKbiCwVkTwRmSoix0eh2gLPNUlEtovINhH5UkQOCDo/FnjDf/3JP89wn34i0Dr4WaMho2GEYu/7HutnuH+f9/fPkQN8E3QuKyR/XRF5RUQ2+es+F5F2/nnuLeUWTUTkLRHZKiJrReS/IlInqDwFagGXBNXL2Mo8UyJiPV3Hh8DbwDDcPx0RuQB4ExgDnA9UA24DxorIYFX9AXgZqA9cD5wBrPblzfZ/OwL/A/4DbAe6ALcDB+GGXMEN29QCzsINwQYIlPUCcCluqPZ2f7+7gYki0lNV1/p89/jjFeB9IBN4CUgG5oVbMaGIyJ3Ag8Cr/m8acCswXkQOUtXZwFBcnd0FXAbMBdbj6vBFoD2xGaoyjNKw971s0oBRXo6HKcNGiEgS8CnQF7gXmOqf54vdlP0B8I6XeX/gnz79z/5vP+Bb3JTUAz4tO7zHSGBUtcoeuB+LAveFpCcBK4EZQFJQejqwFpgQlPZXX0abPdxLcD/gw3z+HkHnnnH/ij9cc4jPe3NIeksgF3jEf68L7AA+DMnX318/tjL1E/Q9EygEngrJl45TGu8EpV3q7903JO9nQFa8//d2VL3D3vc91s9wf/1lZZzLCvp+gs97dUi+O3z6vaXU+60heZ/1zyFBaduA4fH+rUTzqNLDy0F8EPK9M9AceF1VSwKJqrrN5z1ERGruqVA/1DJSRNYAxTiDNc6f7loOuU7C/VjfEJGUwAGsAaYDg3y+fkB1XEt9J6o6EVhajvuUl2NximREiDx5uOcatLuLDSNBsPd994TWT2kc7v++G5L+1m6uGRXyfQbuORqXU659AhtedqwO+d6gjHSAVbiWcT1c67NURCQdGI8zSHcB833+TNzwVo1yyNUE12JeW8b5xSHyriklT2lp4dLE//2ljPMlZaQbRiJh73vZ5KpqeYZ0GwBFqropJL0s2QE2hnzP93/LUzf7DGZ0HaHOPIEfR7NS8jbHGZfNeyjzSJ93kKoGWrtIxdb3bfCyHcrvP9BgAmkBeZuWkqcpkFWBe+5JHnDzUZHsQRtGLLH3vWzK69i4EUgRkfohhrc0mYwgbHi5dObh5nguEPl9jYv3QjwTmKS/LzMoq7WmIecDDCnlfvm+/NAyPsO1fFuo6uRSjpk+34+4FvaFwReLSH+g9W6es6J8CRQB7cuQZ3I5ysinirVsjYTH3veKE2hYnBuSfl4ly93n9YP1dEtBVUtE5DbcnMlnIvICzpvxVpwTwx1B2QMvwo0i8hpuHmceMBHXOh4mIvf59AuBnqXcMlDG7SIyGjcfNENVJ4jIi8CrItIX+B7nFdkMGAjMVNXnVXWziDwG3CUiLwPv4Ya17qWU4Sbvhn+4qlZo0ayqZonI3cA//BKGL/wzNsF5aG5X1T0t+p8JnCEi1wBTgJJyGmvDiAr2vofFF8AE4HERycC9y/2Ai/35cKeaZgKDRORk3HB/jqpGbPVFQhBvT654HvzuVdewjPOn4lqVO3BedV8D/UvJ9xCupVzsyxvk0/vhXsbtwDqcS/8BPs+lQden+XPrcD/WXbwjcctufvQy5AILgdeAPkF5BKccluFai9NxjhljCfFmBCYDq8tbP2XUy7fAVlyLOwv34g8OynMppXsv1/N5NweeNd6/AzuqxmHv+x7rZziwbTfnskLS6gH/9e/ydtxyq4P989ywp3oP0hHBz94T+MGXF7YndiIf4h/UqCKISG1gE3CTqj4bb3kMw4gesX7fg9Y7D1DnTW2EYMPLVY/DcK30l+ItiGEYUSdq77uInA+0wA0Jl+DWGd8KfG8Gt2ysp2sYhmFUGBE5CTd03AEXZWs18DFwl5Zv2VGVxIyuYRiGYcQIWzJkGIZhGDGiwkZXRA4TkU9FZJXfBWKf3vvQMIw/YnrAMMIjnJ5uLZx7+nURlsUwjL0H0wOGEQYV9l5W1dHAaAhvQ3If8aU5kFPhiw0jetQGVqk5OZQL0wPGPkrU9UA8lgw1B1bE4b6GsSda4pZXGNHH9ICRqERVD0Td6IpINVxItV1Yvnw5GRkZ0b79PsfsVVt5bWIW4xasZ1teMclJQp9W9TijdwtO7NEsrF5HVSc7O5vMzEywXlfUMD0QWeas3sprE5cydv46tuUVkyTQp3U9Tj+gBSf3bG56IAxipQdi0dP9G/CHeLwZGRn2slWAouISHv1yHi+PX0yJAlQjqZqLkzZ5dR6TP1/EqDmbeeKcXjSvu0/HCzf2TkwPRICi4hL+NWYeL49fQnGJEtADAFNW5zNl9WJGzdnCv8/tRQvTAwlJpdbpiogCp6vqx7vJE9rCrQ2s2Lp1q71s5SSvsJjrRk7j6zluq8qTejTj0v5t6Ny0Nhu3FfDJr6t4ftxC8gpLaF6nOq9fcTDtG6XHWeq9h+zsbOrUqQNQxxb1VxzTA7Ehr7CYG96axpjZTg+cuH8zLh3Qhi5eD3w6fRXPjV3EjsJimtWpzuuXH0SHxrXjLPXeQ6z0QNSNbinXZABb7WUrH8UlylUjJvPN3HWkpSTx5Lm9OH7/P277uXTjdi4b/guL12+nYXo1PrlugL/84FEAACAASURBVLV0y4kZ3cpheiD6lJQoQ96Ywlez15KWksS/z+nFiT3+qAeWb8rlsuG/sHDdNhqmp/HR0AFk1q8ZB4n3PmKlB8JZp5suIr1EpJdPauu/t4qwbAbwyBdz+WbuOqqlJPHaZQeVanABWjeoxXtD+tGlaW02bMvnytcmk1tQFGNpjaqC6YHY8uiX83Ya3OGXHliqwQXIrF+Td4f0o2uzDDZsK+DKEZPZlm96IJEIZ51uX2CaPwCe8J/vj5RQhuPLWWt48fvFADx2dk/6tW+w2/wN0qvx8iV9aZiexuzV2dz9yaxYiGlUTUwPxIhv5qxl2LhFAPzrrB7079Bwt/nr10rjlUv60jC9GnPX5HD3x7/FQkyjnFTY6KrqWFWVUo5LoyBflWXDtnzu/NDtdT3ksHac3LN5ua5rWa8mz13YBxF4f8oKvpz1hz2tDaPSmB6IDRu35XP7BzMAuHxgW07t1aJc1zWvW4NhF/UmSeDDaSsZPXN1NMU0KoDFXk5Q/v7xb2zcXkCXprW5+ZhOFbr2oLb1GXJYewDu/HAmW3ILoiGiYRhR5p5Rs9iwrYDOTWpz67GdK3Rt3zb1uWaQ1wMfzWTzdtMDiYAZ3QRk7Lx1jP5tDclJwhPn9KJaSnKFy/jL0R3p2DidjdsLeGzMvChIaRhGNPlhwQY+m7GaJIHHz+lJ9dSK64EbB3eiS9PabM4t5NEv50ZBSqOimNFNMPKLirl3lJuLvbR/G/ZrHp5nZ7WUZO4/tTsAb/60jBkrtkRMRsMwoktBUQl3j3JzsRf3a0P3FnXCKictJWmnHnj7l+VMW7Y5YjIa4WFGN8EYMXEpWRtzaVy7Gjcd1bFSZfVr34DTejVHFR78bA4WVtgw9g7e+HHpzuV/FZ1eCuWgtvU5o3cLpwc+Nz0Qb8zoJhBbcgt4+tsFAPz12M7Urp5a6TJvP74L1VKS+DlrE1/PWVfp8gzDiC5bdxTu1AO3HNOJjEjogeO6UD01iSlLN/PlrLWVLs8IHzO6CcTzYxeRnVdE5ya1ObN3y4iU2axODS4f2BaAh0fPoai4JCLlGoYRHYaNW8Tm3EI6NE7n7D6R0QNNMqpz5aHtAHj0i7mmB+KIGd0EYV12HsMnZgFwx/FdSE6KXMDyqwe1p17NVBat384nv66KWLmGYUSW9Tn5DJ+QBbjeaUpy5FT0VYe1o0GtNBZv2M6H02wzrXhhRjdBePa7heQXldCndT0GdW4U0bIzqqcy5HC3dODJbxZQaK1cw0hInvexk3tl1uWoro0jWnbt6qlcHdADXy+goMj0QDwwo5sArNqyg7d+Xg7ALUd3isq2XBf3a03D9DSWbcrl/Sm2jalhJBprs/N446elANwcJT1w0SGtaVS7Giu37ODdycsjXr6xZ8zoJgDDxi2ioLiEg9vW32Oox3CpmZays5X77HcLrbdrGAnGsHGLKCgqoW/rehzacfehHsOlRloyQ33AjOfHLrLebhwwoxtn1mXn8fYvrsV541Edo7r59IUHu97uis07+NjmdAwjYViXk8fIn5YB0dcD5x/Uamdv96NpNuoVa8zoxpkXvl+8s3Xbr110erkBaqQl7/RgfG7sIvNgNIwE4eXxS8gvKqFXZl0G7mFDg8pSPTWZIYc5PfDMdwtND8QYM7pxZOO2fN70czjXD45u6zbARYe0pl7NVJZs2M7nFgTdMOLO5u0FvPGj0wM3DO4QEz1wwcGtaFArjeWbdjBquq1oiCVmdOPIfycsIa+whB4t63BYlOZwQqlVLYU/D3Drdp/7bhElJRadxjDiyasTlpBbUEy35hkc0TmyHstlUTMthT/79fvPjTU9EEvM6MaJrTsKGTHRtW6vPSI2rdsAF/dvQ+1qKcxbm8OY2RadxjDiRU5e4c71+dfFWg/0a01G9RQWrtvGF7YFaMwwoxsnXpuYRU5+EZ2apHN01yYxvXedGqn8qV9rwHkyWyxWw4gPIyYtJTuviA6N0zm2W9OY3rt29VQu7d8GMD0QS8zoxoHt+UX8d8ISwPVykyIYfaq8XD6wLdVTk5i5civfL9gQ8/sbRlUnt6CIV34I6IH2cdEDlw1oS820ZGatyub/2zvv+KqKtI9/J5UQEnoNoSQhgKhUQaUFUMR1RdFVQFfddy00K66ou67uuq/tXcvaUCxroVgX0VXURQQB6bCA9CIptFACSSipd94/5txwvARIueecucl8P5/7Se7c9jsz8zwzZ84zz5m/5YDrv18bMYOuB0xflsGR48W0bxLLr89v5YmGxvWiubGPOtt9xUqubjAY3OOD5VnkHCuiTaO6XOmRH2gYG8VvL1R+4OXvt5mzXRcwg67LnCgq5Y0FanY7bmByUHMsV5Y7BiQRFR7GivTDLNlxyDMdBkNto6C4lCk/7ABgXFpyUHMsV5bb+rcnOiKM1ZlHWGz8gOOYQddlZizP5ODRQlo3jGFEjwRPtTSPr8PICxIBeHHuVk+1GAy1iQ+XZ7I/v5CEBjFBu6NYVWkWV4fRvdsAKiezOdt1FjPoukhBcSmvW7PbCYNSiPRwdutnXFoykeGCpT/nsOxnM8s1GJymoLiU12xnuVER3vuBsQOTiQpX9902q17O4n1r1yKmLc3ggCazWz+tGsRwfS91tvv8nK1mlmswOMwHyzPJziukZf06XNdLDz/Qon4dRvU2fsANzKDrEscKS3htvprd3jU4RYvZrZ8Jg1KICg9j2c4cFm03kcwGg1McLyrh1XnbAWV30RHhHis6yfi0FKIjwliZcZj5W00ks1Po4/lrOO/8uJNDx4po17gu1/bUY3brp1WDGG68UF3TefbbLWaWazA4xLuL0zl4tIjERidXmHShRf063GRFMj/77RaTpcohIrwWUF2KS32sSM9h6Y5DrN+Tx54jJ8gvKCE6Ioxm8dF0bB5H35Qm9OvQhLpR3hzuoaOFTPnhZwDuuzRVi2u5gUwYlMJHK7JYuyuX2T/t44rzW3qiw+eTrNl1hPlbDrBxTy6ZOcc5XlRKVEQYzeKi6dQinh5tGzIwtSn1YyI90WjQj5JSn4rC//kQG3bnsjvAD6RafqC/h34g51hR2WrXvUNStVrt8jMuLZkPlmeyYU8e/163h6u6eRPs6fNJ1u46wg9bD7B+dx6ZOceUHwgPo2lcNJ1bxtO9TQPSUptRv25o+QFR1bMaIcR44AGgJbABuFdKubACn4sHcnNzc4mPj6/SbwNs2ZfPjGUZfL52D0eOF5/1/XHREYzokcCYgckkNIip8u9WhT/PWs/UpRmcmxDPFxP6ebIJviK8MGcrL87dRmKjGL6bONDVpa+C4lKmL8tk6pJ00g8dP+v7I8IEaR2bMuqCNgzu1KxadZqXl0f9+vUB6ksp86r8RbUQr/3A1ux8ZizLZNaa3RXyA/WiIxjRPYExA5No3bBulX+3Kvzliw28uzidTi3i+Oru/p5uFzwTL83dxvNztpLQIIa59w+kTqS7fuCD5Zm8vySDnQePnfX94WGCtNSmjLwgkSGdm1erTt3yA1UadIUQI4GpwHjgR2AMcBtwjpQy8yyfrZaxLd+ZwyvztrPAds2hUWwUA1Ob0i2xAe2axBJfJ4LCEh+7D59g3a4jzN28n12HTwAQFR7GzRe15d5LU6kX7fyMd1t2PsNeXEipT/LB7Rc6dpP6YHC8qIS0v89nf34hD1/eiTHWTe+dRErJZ//dzTPfbCY7rxBQjnFgalP6JDWiXeNY6tWJoLDYx54jJ1i/J5dF2w6ybf/Rsu9o3ySWMQOSuKZH6yqdPZhBt2p46QdWpis/YM+i1LBu5C/9QEwkRSWq36zblcvczdlk5Sg/EBkuuOnCdtx3aQfi6jh/prTjwFEue2EBJT7JtFv70M+lG5xUhRNFpQx6dj778gqYNKwj49NSHP9NKSWz1uzmma+3sC+vAIDYqHDSOjajd/tGtG9y0g/szT3B+t15LNp+gK3ZJ/1Au8Z1uWNAMr/pqbcfqOqguwxYLaUcZyvbBMySUj58ls9WydhWZeTw7LdbWWJtawkTMPScFozu04Z+KU3OOMPx+SQ/7jjIq/O2s/TnHABa1q/DM9eez4DUphXWUFmklIx6YynLduZw6TnNefPmXo79VrD4ZGUWD3y6jrpR4Xw3cSCtHFwV2H3kBJM+XcuP21WbJjSIYVxaMiO6JxB7lgnR9v35fLQii49WZJFXUFL2+buHpHBtj9aVSjZgBt2q4YUfWJ15mOf+s6WszwgBQ89pzujebejfoekZ/YCUksU7DjF5/vayz7eIr8PT155HmoN395FScuNby1i84xCDOzXjn7+7wLHfChYzV+9i4sdriYkMZ87EAY6uCuzNPcGkT9ex0EpH26p+HcYNSuGaCvmBo3yyMosPV2SRe0KtdCQ0iOGuwSlc27N1pS7laTvoCiGigOPAdVLKz2zlLwLdpJQDz/L5Shnbul1HeH7O1rIZbWS44LpeiYwdkEybxpXrCFJK5m85wKNfrC+b8d7arz0PDuvkyPWVf63axf2frKVOZBhz7htIYiN3l7Oqgs8nuW7KElZlHGZYlxa8flNPR35n9k97efBf68quu909pIOVGadyS1nHCkv4YHkmUxb8zIF8dabcrnFd7rmkA8O7JlRouckMupXHbT+wfncuz8/Zyveb9wPKD/ymZ2vGDkymbePYSuv/YesBHv18PRnWpYzfXdyOh3/VyZFLKp+v2c09H64hOiKM/9w3oEp63cbnUycMy9OdPWH4Zv0+Jn26ljzLD9w1OIXb+idVekn7eFEJHyzPYsoPO9hv+YG2jetyz5AODO/aqkKTcJ0H3VbAbqCvlHKxrfyPwC1Syo4B748Gom1FccCuMxmblJKVGYd5bf6OMiMLDxNc17M1dw5Oqfas60RRKU99vYn3l6hb63Vv04BXb+gR1LO67LwCLvvHAo4cL+bBYZ0Yl+b8Um2w2LwvjyteWkSpT/LqDT2CGlRVXOrjydmbeOfHdAC6JTbghZHdaN+keo6ooLiUaUszeG3+Dg4dKwIgqUks49KSuapbwhknVWbQrTxu+AFQK1yT5+1grs0PXNsjgbsGd6j2JLaguJSnv95cdmu9rokNmHxjj6DGfOzPL2DYPxaSc6yIPwxN5c7BHYL23U6zNTufX724kBKf5KXR3RneNXj5oYtLfTzz9Wbesm740LV1fV4Y2Y2kpvWq9b3+2JDX5m/n4FHlB9o3iWXcwGSu6t7qjJOqUBh0L5ZSLrGV/wm4SUrZKeD9fwEeC/ye8oztRFEp/163h+lLM1i7KxdQy8hXd0vg7iEdaFdNxxzIdxuzmfjxGvIKSmgcG8WrN/bgwqTqX3OVUnLLOytYsPUAXVrF89n4vlpGKp6J5/6zhZe/3079mEi+vXcALerXqfZ3HsgvZML01SxPV0v8Ywcmc//Q4EZzHyss4d3F6by58OeywJpmcdGM6t2GURckljuxMoNu5XHaD3y5bg/Tl2WyJusIoPzA8K6tuOeS1GpP0AKZuymbiR+vJfdEMY1io3jlhu5cnFz9a65SSv7n3RXM33KAzi3jmTXhYq325VYEf3BlfJ0Ivrl3QFBOTA4eVX5g2U7lB+4YkMQDl3UMuh94b0k6by74mcOWH2gaF82oCxIZ1btNuRMrnQfdSi0rVWaG+/i/N5bd8i4qPIxreyZwx4DkoBuZnayc44yZuoqNe/MIDxM8ckVnfndxu2rdTPq1+Tt45pvNREeE8dXd/UhpFhdExe5QXOrjmsmL+Wl3Lr3bNWLabX2qNXFYk3WEsVNXsS+vgLjoCJ67vitDHbx/6NHCEqYtzeCfi3aWLTclNophwQODTmlbM+hWHif9wBNfbeTNhSf9gD/auLpnQWciK+c4Y6etYsMe5QcevrwTt/ZrXy0/8MaCHTw5ezNREWF8eVc/UpuHph/4zetLWJt1hF5tGzLj9gur5QfW7TrCmKmr2JtbQL3oCJ69rivDznXWD8xYlsHbi3aWBWomNIhh4aRBp+x40HbQhbIAilVSyvG2so3A59UJoNi0N487pq7kht5tua5Xa5rUiy7/S4LMiaJSHp65jllr9gBwdbdWPHnNeVXaz/fdxmxun7oSKeF/rz637LZZociOA0e56pUfOVpYwujebXhyxLmVdkJSSmYsz+SvX2ykqNRHSrN6TLmpJ8kOOlA7RSU+vt2wj+nLMuib3IS7hpy6vGcG3arhlB/Ylp3P799bwejebbiuZyJN49zxAwXFpfxx5k/M/O9uAK7s2oqnrznvrME85TFv835+/94KpITHr+rCzRe1C7Ja90g/eIwrX1lEfkEJI3sl8vS151XJD3y4IovHvthAUYmPpKaxvHFTT9dOSIpKfMzZmM30ZRn0ad+Yey7xzg9Ud8vQWGAJcAdwO9BFSplxls+eMYDC55Oe7GOVUvL2op089fVmSn2SlGb1eHFUN7q0ql/h71i07SC3vb+CgmIfN/ZpwxMjznNQsTvYncfYgck8OKxjhQ0u90Qxf561ni/WqsnM0HOa89z1XV3ZolEep+tbZtCtGjXVD7y7OJ0nvtpEiU+S1DSWl0Z159yEivuBxTsOcuu7KzlRXMro3ok8OaLyg5RuzN+yn9+/uwKfVMvBD1/eqcLHlFdQzKOz1ped1FzSuTnPj+xKfC31A9VNjjEJtSl+PXCflHJBBT4XlE3xTrF8Zw53zljN/vxCIsMFEwalMHZg8lmj6T5fs5tJn66jsMTHoI5NeePmXlpmnqoK7y9J59HPNwAwuncbHrvynLPWx5yN2Tz2+Xr25BYQHiZ44LKOjBmQpKXzMYNu1ampfmBleg4TZqwmO0/5gXFpKYxPO7sf+HLdHv7wyVoKin0MSG3KWzf3Crl4jtMxbWkGj8xaD8CoCxL5y/AuZ62PuZuyefTzDew+coIwAX+4rCNjByRrmSBI+0G3yj+oubGBStv40MyfmLMxG1DXAsenpXB1twRion7ZybJyjvP8nK18Zi1JXdK5Oa/e2D3kAibOxtQl6fzZGng7t4znkSs6c3Fy418Moj6fZOnOQ0yet6PsxgltG9flhZHd6NGmoReyK4QZdN0nFPzA4WNFPDRzHd9uUH4goUEM4wepfeSBl56yco7zwndbmbla+YHBnZox+cYermZzcoPpy9TAKyV0ahHHn67oTL+UJr/wA1JKlu3M4dV528v23iY2iuEfI7vTs63xA2bQPQ1SSr5ct5e/fbmxLBAnJjKcC5Ma0a5JLKU+yaa9eazOPEKpTyIE3DUohbuHdKhUYoZQYt6W/dz/8VpybFtyerVrSHydSLLzC1mZnsPeXJVNJiJMcFv/JO4ekuJZrtuKYgZd9wklPzD7p308/uWGskCcmMhw+iSpLEmlPsnmvfmsyjxc5gcmpKVw7yU11w/8sPUAEz9aU7Y1r13julzQrhH1YyLZb/mBPTY/cGv/9twzpIPxAxZm0D0Lx4tKmLEsk3cXp5elkgykf4cmTLw0le4an80Fi/35BUyet4MZyzMpKvGd8nq96Aiu6taKsQOTQyIZCJhB1wtCzQ+cKFI5gd9ZvLMssU4gfVMac//Qjlqv6gSLg0cLmTxvB9OWZZTrB2KjwhneLYHxacYPBGIG3QoipWT97jzW7DrCrpzjREeE0apBDH1TmoRMpwomeQXFLNlxiM178zlWpPY5p7aI46KkxiG3pGYGXfepSX6gZYMY+tVSP5BfUMximx9oFBtFx+ZxXJRs/MDp8GzQzcrKCiljM9Rc8vLySExMBDPouobxAwbdcMsPeDHoJgC7XP1Rg6FitJZS7vZaRG3A+AGDxjjqB7wYdAXQCsg/zVviUMbY+gzvcRsdNYGeunTUBGfXFQfskW4bRC3F+IGgoqMuHTWBBn7A9XAy62BOO4uwhZ7n67LUp6Mm0FOXjpqgQrq00VobMH4geOioS0dNoIcfqJkx7QaDwWAwaIgZdA0Gg8FgcAkdB91C4K/WX13QURPoqUtHTaCvLkP56NheOmoCPXXpqAk00OV6IJXBYDAYDLUVHc90DQaDwWCokZhB12AwGAwGlzCDrsFgMBgMLmEGXYPBYDAYXCLkB12h4V3RddSkK7rWla66nEK349VNj+7oXF86a/OCkBx0hRApQoiRoDLb6NCoOmoCEEJcLoQY4bUOOxrXlZa6nEK349VNT7AJti3qXF86a/Mave8qXA5CiETgH0BLIcQ2KeVqq1HDpJSn3tixlmqy0RCYJoS4Xkr5qcdaEEK05mRd7ZBSrtShrnTV5RS69Vnd9DhE0GxR5/6qszYdCKkzXSFEe+BVYABQBxgjhHgAQErp82I2pammMqSUM4BbgY+FEKPc1hKgqx2qri4D6gP3CSEmgXd1pbMup9Ctz+qmJ5g4YYs691edtelCyJzpWob5MuouEI8A36DuFPGZEKJYSvkPt+8Qo6MmKEsmb3/+jhDiMDBTCJEjpfyP25qEEG2BV4AmqIwwn6Pq6mMhhE9K+awXdaWrLqfQrc/qpifYBNsWde6vOmvTiZDISGUZ5ktALPCmlPID22vPAcnAKCllQS3XFA10Q50tnIuaaTYHkoCjwEhgIzAIOOiWAVhLhy8DnYGnpJTv2l572tL6G6DQZYevpS6n0K3P6qYnmDhhizr3V5216Yb2Z7pCiJbADFRHDTTMBsAVwAKXBzcdNYUDDwCPA0uBRsARYCuwF0gHPgV2SikPuLXMI4RIAl4EfgW8bzdGi2TghNuOVVddTqFbn9VNTzBxwhZ17q86a9ORULimmw2sAD4MMMymwLPAIeDj8j4ohHDq+LTTJKUsBT4BSoHVUspOQF8p5c1SyjuklE8CAhgthFgHvC2EuNwJLX6s6zsvASXAt8B622vhQog+qBnw+tN83pG60lWXw+jWZ3XTEzSCbYs691edtemK1svL4jTRbkKIJoB/yeJ9KeVkq3wQcAwokVKuPtN31CRNATq6A0tQSzx/tZU/AYwHPgO+AzqhZuMjpZRfOKCjLTANdTePfwItgf7ADUAM0B0V4XgMuNCKbuwN+ACklCut7wl2+2mpy0l067O66XGKYNiizv1VZ21aI6UMqQfqusgU4EfgLqusHzAT2AesBDYBT9o+I2qTJqAnUAT81Xr+W2CbpW8XEG+V3wksBJo5oCERFUjxe1vZFuAnIMuqjx9QlzjqA+8A+Za+ncAzTtSVrrrcfmjYZ7XSE8TjqpYt6txfddam88NzAVVo6IdQ10YmWs/PBeahZk+3WmUXWYZ6fy3W1BNYZRnGc8B/UDPR16xO3wY1E10HNHRIQ3zA8wjUDP9O4EqrLBz4EsgBLgW6AhcDB/3Ot7bocvOhW5/VTU+Qj61atqhzf9VZm64PzwVUoZHDUcsw/udvAz8Dj6KCFa63yu8DZtRWTdbv+WfRs4G3bVqnANuBx1ARlO2s1xyZbaKuX4Wf5rUngeNAp4DyV4B3Ha4fLXW51De06rO66XHg+Kptizr3V5216fbwXEAlGzY84HlzIBO42Xo+HrV80Qu4A9iMurbg5LKYdppsWvzX7J9CRUuG+8uB11FnEf4zixjge6CHW22JytCzFphklUXbNL8DLAAigTA3+5iOuoJ9jAHPPe2zuulx6BgdsUWd+6vO2rx8aL9lyI5UUYH259lCiO2okHyklJOFEBIVpp+Puv5zIvB7gnnhXkdNNi3S+vc91DWkx4UQT0gpjwNjhRCfSCnnCiFigKlAGjBYCHFcSrk5mFrK0VYqhDiKCrIossoKAYQQQ4HhwKNSymJrC0YZTgZe6KormOjWZ3XT4wRO2aLO/VVnbV6idfRyRRBCvIW6VjLc1qA3AyOAu1H7ALsAbYH9Uso51nucjCDWUVN34F/AImAx8IZUadligFmoa0o7gTWoDfuTpJSznNBi0ySAD4F44AYp5WFr68TfUGczd1uvPYCKkNwqpXzd+qyTdaWlLifRrc/qpieYBNsWde6vOmvzDK9Ptav64OSEIQK1B+zfwBCgnu09icByVOPuBg4Az9UmTQH6klCdu6/1PAYV1LESuAW1HBSOyg/7Dio1n2PXea2/kajlp03WoxB4C+hjvT4Dte3iHWAP8H8u9SutdNWWPqubHgfrPSi2qHN/1Vmbp23vtYBqNmqErVE/Rc0eL7HKUlBh61+hIuYao6IfVwGDAztGTdZ0Gn2xwNeoBAXXANG294QHvt9hLeHAaGACKul9nE3jCtQ+R1BRj/uBsS71K610uXC8WvRZ3fS4UO/VskWd+6vO2jxrd68FBLFRw4BUoC4Qhcpm8w3QJeD9rwFvoHK61hpNtt/yzz4/Q0VNXg1EBrwnDZVlZhkqs84wB/WcEvEINLMZ5X2oZbhk6/ktqGCaOg7Xk5a6HDxerfqsbnocOsag2aLO/VVnbZ60u9cCgtSoYQHPG6CWniYGvg8VjFGCmik7FjGno6aA320P/LocI78DtaF9A/AEMBm1HHSlS7rqobLb3GQ9Px+VIOEW63lzoJUHfUxLXUE+Rq36rG56HKz3oNuizv1VZ21uPGpE3kt56n0a66OuCa31Fwgh4oB7UBvR3wauKudzNVpTgL6dUsovpS1yUAhxMXATkAGkSSn/JKUcj7pN1wNCiAYuaDuG2kYxSggRJaVch1puuksIESGlzJZS7gn8kMa6wgPLdEW3PqubHqdwyBZ1taPqaAsZWzoTNWLQhZMh+UKIblLKDFSml4eEEElC3XbqD6hli3nAnVLKEiFEuP9ztUXTaXT6t2xcBbQA7pPq7if+LWUFqECO405qE0II6/tvRwXLzBTqZt8ClQA/7gzHIIUQ0UKINkKIfhrpKhVCpAohhgVTk1Po1md10+M0wbBFXe0oCNpCypZOR8hvGbIjhBiPuuYx3Aq/fxsVjHERapP2v1B5Qv2GWVrOd9QDOkgp/6uLJut7WqHaa3cwdJXz/QKVqi1DSjneMnKfddYwGZXKboiU8qgTv2/TEW4ZVyTwAdAUtRw12TM+/AAAColJREFUWUr59mk+cw3QA3Xnmgmo4IxNUsqhHusaAfRF7UfMAH4rpcwOlian0M2OQsWGgkUwbFFXO6qGtpC0pXKpztq0bg+gIyrk/EnreSPgEVRO1zewRdKV89mGwDhUyjIfahZW7QjIIGgaCfRB5WVdAcx2qO4EKiXdvwLK77TqY7j/fS60Y4RNUz2guV1n4P/Ahaglq92o/X/NUBmNbvVIV5j193JUUoDtwLlu1Z8GfTaodhQqNhTE+g+KLepqR5XUFtK2VO6xey3AgcbsbnWaxajsNauBN89kmFb5uVaHPoG19eB073VRUx1L03HgZVRigCWoGaETddfF0veqZXTvWL9/f7DqohJawmz/C/vfgLKmwB9ReWsLsPZros6EmqASD7ipy+8kzrGc/EJUovcX3Ky/IBynVnYUKjYUxPoPii3qakcV1FYjbOmU4/ZagCMHBe2A61Gh6H1tjXc6w6yPmpmXoJKrB31zdkU1oWZ+/g44BMizjG+qVRYGDMSWHD7IOs9H3a5rPjAXuNzr9ixHo79+GqMCS1Zbf7ugolu7W69HopYiL3BJl79NO6ESO8xGLdedZznMawih2bludhQqNhTE43XUFnW1I38bWX9rhC394ti8FuB2I5ZTHg88bzmKy7DSygG3u60pwFkMB3JRN4EejkoLN8T/OVSKuF87pCvG+qvdPrlyHMUq4OmA9zQCfmd/v4u6UlGz8tlAf9vrrU/3mVB66GZHutpQEI/PEVvU1Y4CtNVIW/JcgKcHr+548ZzlKEbYypM5maLslGUPh7QEOosjqH15KVZZI6ADJ9PGOZm1ypVjroa+pqhboa0sx1G0Bv6Lmh0n2Mody6xl+404VOKGb/ztZHutrjUwdQ/QFVJ7Sk9z3FrYkU42FMxjckqrrnZk/U6NtSXPBXh68DARtVRxpa3Mf8uthlbDNnWzUYErgcOWs0iylccCj1t6u3GWpb6a/EDlo83ECqyxlbe2HMgcTl5P7OuirmaozDp3BpQ3B6ahcuvuQ2UX+l/b69o7/7Mct1Z2ZGyowvWkpR1Zv1djbclzAZ4duLr+tIiTEZH+gIwYVI7Qn1BLG98Bj7jRqEA/yyG8EuAs6gF/QUXv3WGVNfa6Dj1su3ACcrPaHMVc4DKrLAUVGJLmki5hOYMvbGXNUQEgJcALlvbLUEuvD3pdl0E4Zq3syNhQpepKSzvy94+aakueC/D04GE68ENA2YNAsTWbSkVFOx4A/uaCnghUdGKqrczvLHzA/1hlDVB76bQOBHGojsrbFtIatRVkLnCprfxRYC/lXANyQJf/rCkSdZY1xqZhuTUI5GMFwwC/RSV0aOTUAORim2hjR8aGKlxPWtqR9Xs12pY8F+DJQf/yllPrgces50Mtw/wIlR1luK18MQ7mA6WcayUBzuJ3tvJrUMsqPb2uS68fqOtSGailsEts5T2AbaikCWX1azPooC9xBv6G9f93wHvW/7dbzuLXqOjbFUB8QJ8MietSAZq1sCNjQ9WqO23sqLzfsf6vEbbkTy1Wq5BSSivHZ7EQoivqgjyou3x8LqUcaWXBmW5lQtmGClX/RYoyW0qzYGgqCfjuGNT1pztRs/P3bC/fhtqv9lPg9wRTU4iQg9pW8a2U8jtbeU+Uw18Nv6jf9sAO6cDNsaXKiFR2420hRBgqenan9fqbVtlUS/cu1J5IUAE+W53Q5RS62ZGxoWqhjR35f6fG2pLXo76XD07dbvAav7yGMBY4iroDxkygrlUe54I2gbpWNj6g/LeoZbpzAsod16TbgzPvF93PLwMsLkctS/mAK1zU+BywAGvrh1U2DrUP0h9VOwyVCci+LULLWfppjlFLOzI2VOF60t6OrN+uEbbkuQCdHqgozPl240NF+B0CHreet0Fd87jbqUYlYJuA5TzCUXsLp6Bmd1HWazGoTDIrUMnRPa9HD9tPWHX0EGrWnoqKUv0WtSfzR+BarG0GgfXskKYIVCDRV0BnINYqb2r9vRIVQVoK/B8w2ql+5WI7eG5HxoaqV3e62ZH1/TXCljwXoNPD1qhfWh0t2io/3/rbEBU04gPuBS5yqlHtHdjWqXuiglP6oJIP3AlkoYIL3kQlmPe8Hj1uw0ir/TagrgH508cNAVpa76mHuiF6vFPtZ31nuE3TbMtp3Wtrz19b7Tfbcvq/B9KBp7yux2oetxZ2ZGyoWnWnjR1Z31tjbMlzAbo8Ahp1Lmo2dSsnL+g3txr0MGqm/EfgZwI2lTuorx7wKWrD+j2oGd2PqCWXBrbOFxPwOW1meC7VUxiwyXLozwLXB7w+EHXD82WWU3nQ/lkH9ETYdA3CyixkOYlMy9Gfb3v/9aigpPZe12UVj1dbOzI2VKm60sqOrO+tEbbkuQCdHrZGDUfdz7KH9bwV8G/UdSB7ow5ELZn1ckGb/3ZfPstJjcF2TQp1h5A/oZbIpmDbVF5bnAYnIyrDsfLGBrx+i9Vec4BewI1Wmz7hhi7b81GogJA3gS4Br41FRWW29bo+q3G8WtqRsaEK15OWdlReO4SiLXkuQLcHpyZPbwV8gQooOMcqsydTzwC6OazJ/3vh2K6l2F4fCXyPWk65CXXbs71ouLTiQvtFBDz3110X1Kb671DRjlda5YNQeWeTXNDm1zITdcYV6CQuQt267CWv6zEIx6qVHRkbqnR9aWtHAXpCzpY8F6D7A/g7ambcOaCx6wLvoULVm7mgI9CJhaFm7m1Ry3XrUNl2LrBe74Wazbuavk23h629ngAWWP+PQ82Ah6K2rxzBOhtzSVMYAUteqLOs1ZYDcXzlxIN28NyOjA1Vq+60syNbG4aULdXKfbqV5CHgVSllun//nrX/73ngN6jcpPvte8qcQEpZGvDcv3+tG9Af1dF6AN8LIW6VUn4shMhB3U+01iItK0Q5V4QQkVLK14QQEjVL/gx1f9VMN/TY+slOW9mFqPum7gRellKudEOLy3huR8aGqo5udmRpCElbMoPuGbA2/pcAgY7iBeBm1B1Vljk94J6F1kCGlHIDsEEIEQtMEUIkojaJl57x07WHdFRe3rpArpTydSFECSqI5kPUUpnjBPYTIUQX1Ix8CcpJLHBDh5uEgB0ZG6o46WhgRxDCtuT1qXYoPVDh8R+hboo91Gs9lqbhqGhM+y2uxqEcxYde69PlgZpgrkFF07bj5B7Ni4BID3WFo5bsLvVKgwfHrJUdGRuqVF1paUeWhpCwJf86vaECWGnH5gAvSim/8FoPgBAiHJXP9hDqri7HpEqh1hcolBour7iNECJcSlkqhIhEtV8B8DEwXUpZ6LUur37fK3SzI2NDFUNXO7Jr81JDRTGDbgXxeAm5XAKMYCEqqOEH4O9eG4Fu+Jc4LQd7PbAHFRBiDMBFdLMjY0OVw9hR9TGDbogTYASTUBGY34TKrM9NQmk2bHAPY0OVw9hR9TCDbg3AGIHBUD2MDRncwgy6BoPBYDC4RJjXAgwGg8FgqC2YQddgMBgMBpcwg67BYDAYDC5hBl2DwWAwGFzCDLoGg8FgMLiEGXQNBoPBYHAJM+gaDAaDweASZtA1GAwGg8ElzKBrMBgMBoNLmEHXYDAYDAaXMIOuwWAwGAwu8f8GphT9cx4uGgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 500x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(2,2,figsize=(5,3),dpi=100)\n",
"\n",
"x = np.linspace(-10,10,100)\n",
"y = np.sin(x)/(x + np.spacing(1))\n",
"\n",
"labs = ['neg ten','neg five','zero','pos five','pos ten']\n",
"\n",
"for ax in axes.ravel():\n",
" ax.plot(x,y)\n",
" ax.set_xticks([-10,-5,0,5,10])\n",
"\n",
"axes[0,0].set_xticklabels(labs)\n",
"\n",
"axes[0,1].set_xticklabels(labs,rotation=-45)\n",
"axes[0,1].set_title('rotated')\n",
"\n",
"axes[1,0].set_xticklabels(labs,rotation=-45,ha='left')\n",
"axes[1,0].set_title('rotated, left')\n",
"\n",
"axes[1,1].set_xticklabels(labs,rotation=-45,ha='right')\n",
"axes[1,1].set_title('rotated, right')\n",
"\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Label Formats\n",
"\n",
"Also included are prettier x-labels"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x300 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X = np.linspace(0,2*np.pi,1000)\n",
"Y = np.cos(X)**2\n",
"\n",
"fig,(ax1,ax2,ax3) = plt.subplots(1,3,figsize=(8,3),dpi=100,num=1)\n",
"for ax in (ax1,ax2,ax3):\n",
" ax.plot(X,Y,'k-')\n",
" ax.set_yticks([0, 0.25, 0.5,0.75,1])\n",
" ax.set_xticks(np.linspace(0,2*np.pi,5))\n",
" ax.set_xticklabels([r'$0$',r'$\\frac{\\pi}{2}$',r'$\\pi$',r'$\\frac{3\\pi}{2}$',r'$2\\pi$'])\n",
"\n",
"ax1.set_title('Default')\n",
"\n",
"ax2.set_title('g formatting')\n",
"ax2.set_yticklabels( ['{:0.2g}'.format(l) for l in ax2.get_yticks()] )\n",
"\n",
"ax3.set_title('g formatting, force decimal')\n",
"ax3.set_yticklabels( ['{:0.2g}'.format(l) if int(l)!=float(l) else '{:0.1f}'.format(l) \n",
" for l in ax3.get_yticks()] )\n",
"\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Legends\n",
"\n",
"There are a few ways to work a legend. And there is a lot more that can be found on the web.\n",
"\n",
"The main takeaway is to have `label=` in the respective plot\n",
"\n",
"### Directly specify"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11e1b39b0>"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,(ax1,ax2) = plt.subplots(1,2,figsize=(7,3),dpi=100,num=1,sharey=True)\n",
"\n",
"X = np.linspace(0,2*np.pi,1000)\n",
"\n",
"def plotEX(ax):\n",
" pl = [None for i in range(3)]\n",
" \n",
" pl[0] = ax.plot(X,np.sin(X),label='One')\n",
" pl[1] = ax.plot(X,np.cos(X),label='Two')\n",
" pl[2] = ax.plot(X,np.sin(np.cos(X)),label='Three')\n",
" return [p[0] for p in pl] # makes it just the objects\n",
" \n",
"pl1 = plotEX(ax1) \n",
"ax1.legend()\n",
"\n",
"pl2 = plotEX(ax2) \n",
"ax2.legend([pl2[0],pl2[2]],['One','Three'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Use `label`"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11cb590f0>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x300 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,(ax1,ax2) = plt.subplots(1,2,figsize=(7,3),dpi=100,num=1,sharey=True)\n",
"\n",
"X = np.linspace(0,2*np.pi,1000)\n",
"\n",
"ax1.plot(X,np.sin(X),label='One')\n",
"ax1.plot(X,np.cos(X),label='Two')\n",
"ax1.plot(X,np.sin(np.cos(X)),label='Three')\n",
"ax1.legend()\n",
"\n",
"ax2.plot(X,np.sin(X),label='One')\n",
"ax2.plot(X,np.cos(X)) # NO LABEL\n",
"ax2.plot(X,np.sin(np.cos(X)),label='Three')\n",
"ax2.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Number of points\n",
"\n",
"Thankfully, the default was changed to one."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x300 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,axes = plt.subplots(1,4,figsize=(8,3),dpi=100,num=1,sharey=True)\n",
"\n",
"X = np.linspace(0,2*np.pi,8)\n",
"\n",
"\n",
"for ii,ax in enumerate(axes):\n",
" ax.plot(X,np.sin(X),'-o',label=r'Lab 1: $\\sin(x)$')\n",
" ax.plot(X,np.cos(X),'-s',label=r'Lab 1: $\\cos(x)$')\n",
" ax.legend(numpoints=(ii+1))\n",
" \n",
" \n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Dummy Legends\n",
"\n",
"This is useful if you want certain entries that are not to be plotted"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11e530668>"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(1,1,figsize=(5,3),dpi=100,num=1,sharey=True)\n",
"\n",
"X = np.linspace(0,2*np.pi,1000)\n",
"\n",
"# Real Lines\n",
"ax.plot(X,np.sin(X),'-')\n",
"ax.plot(X,np.cos(X),'-')\n",
"ax.plot(X,np.sin(np.cos(X)),'-')\n",
"\n",
"# Dummy lines\n",
"ax.plot([],'-rs',label='Dummy1')\n",
"ax.plot([],'k',label='Dummy2',LineWidth=8)\n",
"ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Legend in its own plot"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 72x72 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots(1,1,figsize=(1,1))\n",
"ax.plot([],[],'-s',label='a',linewidth=2,ms=8)\n",
"ax.plot([],[],'-*',label='b',linewidth=2,ms=8)\n",
"ax.plot([],[],'-o',label='c',linewidth=2,ms=8)\n",
"ax.legend(loc='center',numpoints=1)\n",
"ax.set_frame_on(False)\n",
"ax.set_xticks([])\n",
"ax.set_yticks([])\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot Colors\n",
"\n",
"For the most part, the default colors are fine. But there are times when you may want custom colors or to repeat colors\n",
"\n",
"### Custom Colors\n",
"\n",
"Can be a mix of text (e.g. `r`) and tuples/lists"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11d3e0470>"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"colors = [(0.36392156862745095, 0.5755294117647058, 0.7483921568627451),\n",
" (0.9152941176470588, 0.2815686274509803, 0.2878431372549019),\n",
" (0.44156862745098036, 0.7490196078431373, 0.432156862745098),\n",
" 'r',\n",
" 'b']\n",
"fig,ax = plt.subplots()\n",
"x = np.linspace(0,2*np.pi,100)\n",
"for ic,color in enumerate(colors):\n",
" ax.plot(x,np.sin(x+ic*1.0/6),'-',color=color,linewidth=2,label=ic)\n",
"ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Repeat automatic colors\n",
"\n",
"Note that the order of the colors hasn't changed. That is, when a color is specified, it does not change the color cycler"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11cf8de10>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = plt.subplots()\n",
"for ic in range(4):\n",
" p = ax.plot(x,np.sin(x+ic*2.0/6),'-',label=ic)\n",
" \n",
" # Method one - if using this method, you do *not* need to set the `p` variable\n",
" prev_color = ax.lines[-1].get_color()\n",
" \n",
" # Method 2\n",
" assert prev_color == p[0].get_color() # This would fail it it weren't the case\n",
" \n",
" ax.plot(x,np.sin(x+(ic*2.0-1)/6),'--',color=prev_color)\n",
"ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Color of non-plot elements\n",
"\n",
"This is personal preference, but sometimes it is nice to make the plot stand out by setting the color of everything else to be, for example, grey.\n",
"\n",
"This demo also tries to set `z` axis (see below) but that is not needed for 2D"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SRyICPEtsDS6hodSaPw+PZs205xLGjSPzp58B8HHzYfqt02kT3kbTT9o9ia+PfK0Kbt4waBFE3a4P+uensHEiAK4WE58/0Io7W+l1QBfvjuWdn8X2l0BQERAGpQKQIs8kdYasyb69ehHx4QdasPvH4z8atrk6Vu3IlB5T8HRxGIMjyx3bXA6qt4OHl4KnGuzedDyZDzcmYXNYk/phPix4uj1B3m4lvhZLQAA153ylGxVFIW70aLLWrQPAy9WLaT2ncVMVfXvro50f8dOpn1TBxU09PNCgrz7ougmwZYqqtpj55N4W3NumuqaeszmGz/8wVgYQCARljzAo5UzmihUkT5qkyT5du1Ltk481Y7L+3Hre3vq2pr+pyk183uNzPFxUz4VTG9QA/MXs+PBm8NBicFdPVh2Oy+S5BXtwhEyoE+rNwmfaE+LjXmprsvj4UGOmjFu9uuoTVivnh79I7i41S97L1YupPacatr/G/jmWLecduTQubnDvXKjbQx909Rh8z/4OgNls4oO7mxu2vyb9foy5m0+X2poEAsGVEQalHMnZto24MW9osleHDlT7fDImN9Vz2Je0j5c3vKyd5moU1IjJ3SfrxiT5KHz3CNgdBSKD68MjP2qeSWx6Lk/M2Ul2gXraq6q/Bwufbk+Yr0epr80lMJCas7/CtYZaLFopLCR2yFAKHX1aPF08+bzH59QLUBMkrYqVF9e/yOGUw+oArh5w/0KoebM2ZsT2t+GManQsZhOT7m/JLfVDNP3bPx1hzZHEUl+bQCC4PMKglBP5x44RO3SYlmfiXr8+1b/4HLO76jnEZccxfN1wChx1t6r5VGP6rdPxdXME0LOTYeG9UJCpyr5V4dFl4KMG6DPzinh8zk6SstT7vV3NzH2iHVX9Sy5mciVcw8Oo+dVs7UixLSODc9Kz2DLU3Bh/d39m3DqDqt5VAciz5jF07VAScxxGwc0LHlgIIWqg32wvgm8HQYqaqOnuYkF+pA2taqoGVFFg+KK9HI7LLLM1CgQCHWFQygFrejqxzz6HPSsLAJewMGrMlLH4qsYityiXYWuHkZavFkoMdA9kZq+ZhHg6vo0X5cOiByHD0ZXR1UsNZvurcQWbXWH4or2cSMoGwM1i5s0e4eXSZ8StRg1qTJuKyWEoC2NiiB02HKVQTagM9w5nRq8Z+LmpJ9mS85IZvm44+VZH1y+vIHULz9tRiiU/QzWkeemq2s2FLx9tS40g1VDmFtp4et4uki4U6xomEAhKHWFQyhjFauX8iJEUxamtcM1eXtSQZ+BaVf2WblfsvP7n6xxNPwqAi9mFSd0nUdOvpmMABX4eCbE7HCOa1CB2REvtNT5efZT1R5M1eeK9zWlepew8k+J4tmhBhFOiZu6OHSS8954m1/Gvw6fdPsViUjP0D6ce5s3Nb+ontwIj4cHvsFscW3Xpp9WMeru6FRjs485Xj92Er6N/SnxmPk/P30V+kd73XiAQlD7CoJQxSRM/JnfbNk2O+PhjPJzaec7YP4M/zv6hyWM7jDUcs2XXV2rF3ov0ngCN+mniyv1xTF9/UpOf71aXgS31Y7blhV+f3oSOHKnJGYu+I2Ppj5rcvmp7Rrcbrcm/xPzC7EOz9QGqtSau/Zu6fOJ3WPuuJtYP92XKQ62xmNVM/wOxmYxbcbgUViIQCP4OYVDKkMyVK0mbN0+TQ4YOwbdHd03efH4zM/bP0OSHox7mrvp36QOc2wm/OCUuthgEHZ7XxOj4C7yyZL8md28Yyku3NSzhVVw/wc88jV8//Thwwrhx5B3WP/QfaPQA9ze8X5O/2PsFO+J3aHJWjR7QWTdK/PkpHNaNUtcGoYztrxvnRTvPiWKSAkEZUt4dG/sAkwEL8KUsyx8U008CLn7iegFhsiwHOHQ24KBDd1aW5dupwBScOEH8WP0bts+tPQl57jlNTshJYPSm0SiOkintq7bnpbYv6QNkJ8P3j+onuqo0gwGTwFF7K7vAygsL95BfpB4frhPizeRBrbRv7BUBk8lE1XfeoeD4cQqOn0ApLOT80GFE/rAEl0C1m/Or7V7lRMYJdifuxq7YGbVxFIv/t1ivBtDjDUg4CCfWqPLyIepR6RD1tNhjN0ey91wGy/epW4pvLD9E4wg/mlbzL/P1CgT/NcrNQ5EkyQJMBfoCjYFBkiQ1dr5GluURsiy3lGW5JfAFsNRJnXdRV9GNiT0vj/MjRqDkq4Fitzp1iPjgA0xm9e0vshXx0oaXyChQTz+FeYbx4S0fqlWDAex2tW1vlvohiUcA3L8AXNW4iKIojPnxIKdScgDwcrMw89E2+Hm4luEqrw6ztzfVv/gCs4+aJ1MUF0f8a69r8RJXsysTu0wkyEOtLZaan8orG1/BerHQpdkCd89S638BFGbDksfVgwqoRuv9u5rR0FFOptBq59kFu8nMKyq7RQoE/1HKc8urHXBCluVTsiwXAouAgf9w/SDg2zKZWQmT+N57FBxXM7lNHh5Un/wZFscHKsBnez7jQLLaQMtisjCx60SCPYP1AbZ8DqfWOQQT3P2lGqh28N3Oc9o3coAJdzalXljZn+i6WtwiI4n4SA/SZ69fT/rXCzQ51CuUj7p8hNnRK2V34m5D2Rk8A9XER4sj0z/hIKx2yudxc2H6w621IH1seh6v/3hQlGcRCEqZ8tzyqgY4b3DHAu0vd6EkSbWA2sBap6c9JEnaBViBD2RZXvY39w4GBgP4+voSHR19XZPNz8+/vns3boTFSzRReepJTlmt4BhrX8Y+5h+br+kHVR+EZ5qn1pvdI/UwkX+M5+LGVUrUIyRbq2v3x6QX8ubP57X7b6vnSyOPrEvmet3zLy2qVoX//Q8cZe4TP/qIxOAgqKN6Hn74cW/EvXx3Xq1YPPvgbELrhIK2BDcCWwyjyp6PVXHnLGJda6txFgdDOwTx3ga1+djPB+Jp4GPltvrlZ2gr3M/gOqjsa6js84eKvYbyNCiX29z/u6+QDwBLZFl2PgdaU5blOEmS6gBrJUk6KMvyyeI3yrI8E5gJMGHCBCXK6UTVtRAdHc213lsYe57TM2fhKIqC34ABRAwZovUcSctPY+aKmdr1Xap3YVT3UXpPkvwLsPoBcGTKU60tIfd8SohF3coqsNoYMWUzhY66Kg3CfZj8aCc83S5tkHU98y9t7BPeJebkCQqORIPVitsXU6j9wxLM3t4AvN7odc6uOcvW+K0oKMyMncnydsvxd3fEQxq9Abl/wV9qHbDquz+E9gO1fJyoKDidd4Bvd6jfW+RdafyvY2PqhPpcOpkyoCL+DK6Vyr6Gyj5/qNhrKM8tr1ighpNcHYj7m2sfoNh2lyzLcY7/TwHrgVaX3lZ+KDYbcaNfxZ6jxjVca9WkyrhxmrFQFIVxW8aRkqe29w3yCGL8zeONDa5WvQLpMepjdz+4ZzZY9LjIJ6uP8VeCmhzp7mJm6oOtL2tMKipmNzeqffIJJi+1YnJhTAyJH+hbYWaTmXc7v0uAu5oJn1qYyvit4/WtK5MJBk4Bf0eOTkEmLHtejTk5GDugMXVDVQOVW2hj2KK9FFp1vUAgKDnK06DsBOpLklRbkiQ3VKOxovhFkiQ1BAKBrU7PBUqS5O54HAJ0Ao6UyayvkrS5c8nbtVsVLBaqTZyIxcdb0y85voR159Zp8rud3jXGTaJXwoFFuvy/zwxxk60nU5m16ZQmv94vqkT6mpQ17rVrU2XsWE3OWLyY7A0bNDnMK4xxN4/T5NVnVrPipNOviWcg3CWjObynN8AO3evzcnPhi0GtcbOov+qHzl/gi7XHS2UtAsF/nXIzKLIsW4EhwG+oO+Pfy7J8WJKk8ZIkOZ/aGgQskmXZeTssCtglSdJ+YB1qDKXCGJT8o0dJ/myyJoc8+yyezZtr8rmsc0zcOVGTH2z0oN6+F9Qjwitf1OXm90PTuzXxQn4RLy/WG2V1aRDKox1rlfxCygj/Owbi27u3Jse/MVar9wXQs2ZP7q6vr//9He8Tnx2vD1DrZug0XJd/f0stnOmgcYQfr/ZtpMnT1p9k/zl9fIFAUDKUax6KLMurgFXFnnuzmDzuMvdtAZoVf74ioBQWEjfqVRRH0UePpk0JeVbS9HbFzpub3yTPmgdAXf+6jGgzwmkABX56EXLVrTB8I6DvR4bXeGflEc5nqPcHeLky8Z7m19wLviJhMpmoMu4tcnfvxpaSgjU5mYR33qXaJx9r14y6aRRbzm4hviCenKIc3t76NtNvna6vu/vravZ84iGw5sPSwfD079oW4RM3R7L6cALbT6dhsyu8tHg/Pw3tjIdr5dkiFAgqOiJTvoRJkWdScFT9dmxydyfiow+13iYAi/5axK5EtS+IxWTh3c7v6uXoAQ58pwWZATVG4ChHD7DhWDKLd8dq8nt3NiPcr/TL0Zc2LoGBVB2v93258PPPXPj1V032cvXiuTrPYXJsbW2O28zS405pSS7ucNdM/Shx/D71uLUDs9nEx/e2wMsRYzqRlM2na46V4ooEgv8ewqCUIPlHj5Ii650Xw0aOwN1xDBbUrS7nzotPNH2CpiFN9QGyk4ylVdo+BfX0HutZ+UW89sMBTe7fvCr9mlUt4VWUH749euB/552anDD+Hazp6ZrcyLcRjzR+RJMn7ppo3PoKbwLdx+jy+g8NW181grwY41SaZdamU+w+k1bCqxAI/rsIg1JCKFYr8a+PAaua0e3ZqhWBDz+s6e2Knbe2vKVtddULqMdzLZ4zDrLqFbU8O0BALeg13qD+4Je/iMtUM8KDvN0Yf3uTUlpN+RH++mu4VFE7MdrS0kj6wFCNhyGthlDLT40X5RTlMG7rOGPCYschUNVRedlWoJZmseunzR9sV1NryqUoMPqHgxRYRVVigaAkEAalhEibO5d8R6FDk5sbVSe8i8mi788vO7GMnQk7AcdWV6d3cbM49XT/62c44pSb+b/JWhtfgC0nU1i4/awmj7u9CcGl2Ma3vLD4+lLlLT2Mlrl8BdmbNmmyp4sn73R6R9v62hK3Re9HD2BxgTumgdmxzRi7w3Dqy2RS2wd7O7a+jidlM2O9flpOIBBcP8KglACFZ86Q/PkXmhwyZIhhqyslL4WPd+kB5kebPEqTECfvIj8TfnYqBNnyIairVyHOL7Ix5sdDmtyrcTj/a37jbHUVx7d7d/z66SX54996S8vnAWgV1oqHoh7S5Ik7J5KR73RqK7wJ3OL0fv4xHtLPaGK1AE9e6a1XYZ6y7jjHE7NKeBUCwX8PYVD+JYqikPD221oHQo/GjQl+8gnDNR/t+IisQvUDq7pP9Uu3uta8BVmOWIB3KNz2rkE9bf1JTjsKP/q6u/DuHU0r9amuqyF8zOtY/NWMeGtcPEmTJxv0Q1oNoYq3ujWWXpBuMNiAalDCHLVGi3LV7USnrbFHOkZqrYOLbAqjlx7Ebhe1vgSCf4MwKP+SCz+vImeLI+fSbKbKO+MxueinsTfFbuKXmF80eWzHsXi6OHVPPLcTds/R5b4fqW1vHZxIymaGU8OsUX0b3RCnuq6ES3Aw4a+/psnpCxbCSf198Hb1Zkx7PQC//ORytsdvdxrADf73OVrC4/Hf1GRRBxaziQ/vbo6rRdXvPpPONzv0LUWBQHDtCIPyL7BduECiU9A48OGH8Gyib2XlWfOYsH2CJg+oM4CbI252GsAKPznloNTvDU30U04Xy9IX2tRSIS1rBPBQu5qlsJKKid/tt+N9s+P9sttBnoli0wPo3Wp047Zat2nyO9veodBWqA9Q4yZo87gu//IqFOhbWw3CfXmua11NnvjbUVKyC0p8HQLBfwVhUP4FSZMmYUtRExBdwsIIHTbMoJ91YBbns9VKwP7u/rxy0yvGAXbOgkRHjzAXT+j3kdYwC+CHPefZflo91moxq30+zBWoYVZpYzKZCB/7hp7Hc/w4GYsXG64Z3W40vq5qyZkzF84w9/Bc4yC3vqVuI4LaT2bdewb1893rUStYrSWWmVfEB7/8VeLrEAj+KwiDcp3kHTxIxqLvNDl8zBhDj5OYzBjDh9uI1iO0plEAXIiHtbr3QpeXDbW6MvOKeH+VXqL66c61iarqV6JrqAy4165N8DPPaHLSp5OwpqZqcqhXKENbD9VkZyMOqLW+er+vy9tPFDw3AAAgAElEQVRnQLyey+PhauFtp+PXS3bHsuO0yE0RCK4HYVCuA8VuJ2H8O1qQ17trF3xv66XrFYUPdnxAkaNdb/OQ5txZ/07jIL+9Do5APSEN4GajdzNpzTFSc9Ttmwh/D4bfWr+UVlPxCR78DK411a0++4ULJH000aC/r8F9RAWpCYv5tnw+2mEsVUOze6BON/WxYodfRhkC9N0ahtG3aRVNHrvsEEU2UZFYILhWhEG5DjKXLiX/oLpVZXJzo8qYMYZTV2vPrmVz3GZVj4kxHcZo3QcBOL0JDjuVDen/iRpEdhAdf4H5W2M0eeyAxni5lWvZtXLF7OFBlbF6R8bM5cvJ3btXky1mC2M66AH6tefWsjF2oz6AyQR9J8LFlspnt8JB49aZ+h6ruSlHE7OYtyWm5BciENzgCINyjdgyM0n6dJImBz31JG419UB5njWPD3fqPT3ua3gfjYMbOw1gNZZXaXoP1O6iiYqi8Nbyw1w8wdq5Xgh9nL49/1fxueUW6NBBkxPfnYDi1PekRWgL7qp/lyZ/sOMDCmxOAfbQBtDheV1ePdYQoI8I8GR4T90LnPz7cZKzRIBeILgWhEG5RpK/mIItTd1jd4moSsjgwQb9nENziM9Rc0oC3QMZ2mqocYDdcyBJzajH1Rtue8egXr4vjh0xjvHNJsbd3viGzzm5ap54HJO7Wh0g//BhMpcuNaiHtx6On5saZzqXdY6vj3xtvL/rKPBxGOfsBNhg3Bp7olNt6jiacWUVWPn4t6MIBIKrRxiUayD/6DHSv9UbR4a/Ohqzp55TEp8dz5xDek7JsNbD9Ha1ADmpsNYpabHLS+AXoYm5hVbe/0UPxD/ZuTb1wipf06xSIyyM4Kee0sSkTydhu3BBk4M8ghjSaogmzzwwk+TcZP1+d1+jAd82DZL1isNuLmbGDtC9ye93n+NgbGYJL0IguHEp1415SZL6AJMBC/ClLMsfFNM/DkwELh7bmSLL8pcO3WPAxY31d2VZnleqk1UUEj94Hxx5EN43dzQE4gEm7Z5Evk0t3hgVFMWd9YoF4te9qxd/DKwNHV4wqGesP0niBXWbJdTXnWE9/7uB+L8j+JmnyfjxR6zx8djS0kiZOpXw1/QEyHsb3Mv3R7/nRMYJ8qx5TN4zmXc7OxnxZvfCrq/UOIrdCqvfgIe+19TdG4bRs1EYf/yVhKLAWysO8cNzNwsvUSC4CsrNQ5EkyQJMBfoCjYFBkiQ1vsyl38my3NLx76IxCQLeAtoD7YC3JEkKLNUJ79pF7tZt6mOzmfDXXjN8yOxJ3GPIiH+13atYzE7NmxIPw+65utznfXDVM97PZ+Qhb9SLFL7SuyE+7v/dQPzfYfb0JHyUns+TtvAbCk6d1mQXswujbhqlyctPLudQil4HTQ3Qf4ghg/7EH4bXeGNAYy2Dfs/ZDJbviyv5hQgENyDlueXVDjghy/IpWZYLgUXAwKu8tzewRpblNFmW04E1QJ9Smqdap2vOXE0OfOB+3Ovr3oNdsRsC8X0i+9AmvI3TAIp6TFhxBJHr9oAGxul++MtfFFhVfdNqftzTunrJL+QGwbdPH7zatlUFq5WkicZjxB0jOtK9hl5c8/0d7xtL3FdtoRbgvMhvY9TDEg5qh3jzZOfamvzhr3+RVyhK3AsEV6I8DUo14JyTHOt4rjh3S5J0QJKkJZIk1bjGe0uE9G+/hXg10G729SVkqDHQvvLkSo6kqi3t3S3ujGwz0jjA8TVwar362GSG2yYYMuJ3n0ljxX79W/CbA5r8pzLirxWTyUTYa6O19zB73Tpytm41XPNy25dxcRwTPpB8gN9ifjMO0nOseigCIDka9sw1qId0r0eIj3qUOz4zn9l/ihL3gsqJNSUFW3Z2mbxWee6pXO4Ts3i515XAt7IsF0iS9CwwD+hxlfcCIEnSYGAwgK+vL9HR0Ze77O+5cAGcStPb776b4wkJkJAAQIGtgE8PfKrp+4f3J+NcBhk4YiV2K3V+fZmLnUvS6wwkIc0Eaeo8FEXh9VW6Mbmllje++YlERyde2zyvQH5+/rWvvYJhWIPZDN26wbp1AJx9ezx8PBGcetD0C+vHioQVAHy07SMiciNwNevtmIMbPULYwRkAWH9/h5NuzbG76YcgBjXz44utammdKWuP0yognyDP6/+TueF+BpWQyj5/uI41fPIpHDgA998Pt/UCl9L72C9PgxIL1HCSqwOGzWpZllOdxFnAxX2lWKBbsXvXX+5FZFmeCcwEmDBhghIVFXW5y/6WhPHvkO7oxeFaqyZ1R47A5KYnIcr7ZdKK1GO+wR7BvNrtVbxcvfQBdsyCLEcvDjdfAu+cSKBPqKZeuT+OoylqDMDNxcx797ejRpDT/SVEdHQ017r2ikbxNRSNe4uT27ah5OVBTAxVjx4l4O67Nf2rdV9l49KNZBRkkFyYzB5lD49HPa4PWG8cnP0ZMs/hUpBBw6SfDF0y6zew89upTRxLzCbfqvBTjML7d13/e3gj/gwqG5V9/nBta8g7eJCYP/9UhVmziOzZA89mzUptbuW55bUTqC9JUm1JktyAB4AVzhdIkuTcRep24KJZ/g24TZKkQEcw/jbHcyWKoiiYfXzAUZwwfNQogzFJyUth9qHZmjyk1RCjMcnPNBYj7PISOBmTAquNj37TixE+0SmyVIzJjYpreLjxGPFnnxkacfm5+fFsi2c1eeaBmcZGXK6ecOs4Xd42AzL0EvYuFjNj+uvnRL7beY7oeP2YskBQkVEUhaQP9Vwr31698GzZslRfs9wMiizLVmAIqiGIBr6XZfmwJEnjJUm63XHZMEmSDkuStB8YBjzuuDcNeAfVKO0ExjueK1FMJhNhI0dQ96eVcP99+PToYdBP2zfN0CP+jnp3GAf48zPIc0zLvya0NzbW+nrrGc6lqfcHernyfLd6Jb2EG57gJ5/AJTwcAFtyCqlz5xr09zW4T+tBn1WUhXxANg7Q9G6IaK0+thUYC3YCXRuE0rWB+iXArsD7ohqxoJKQvW49ubt2qYKLC6EjR/zzDSVAuZ5LlWV5FbCq2HNvOj1+DXit+H0O3VfAV6U6QQdutWrBAw8YjgmfzDjJD8d/0OSX2r6kBYEByDyvJs5dpOebhmPCmblFfLH2hCYP7VEff099f19wdZi9vAgdNoz4MWotr7TZXxF4//24hIQA4GpxZUSbEby47kUAFv21iEGNBlHTz1Eux2RSkx3n9lflA99Bx+fVk2AOxvSPYtPxZOwKbDyWzOYTKXSqF1J2ixQIrhHFaiXpY72LaeB99+Feu/Y/3FEyiEz562TynsnYHceAO1btSKeITsYL1r8HVjXJkaot1G/CTkxZd5zMPLUaca1gLx7uUKvU53yj4n/HQO0Ytz03l5Rp0wz6HjV60DpM9UKsipUv9n5hHCCyMzTo6xAUtc6X0zHjBuG+3NNGP8b9/i/Rol2woEKTseQHCk+pJxPN3t6EDHnhCneUDMKgXAd7k/ay7tw6TR7ZdqQxkzopGvZ9o8u9xqunkhycz8hj3pYzmjyqdyPcXMSP4noxWSyEvfySJqd/v5iC03qyo8lk4qW2uv7XmF+NyY4Avd4Gk+OE2OkNlyQ7jujVAHfHz+jQ+Qv8dDC+hFchEJQM9pwckqdM0eTgZ57BJSjoH+4oOcSn2DWiKAqTduvVhvvX6U+joEbGi34fpycx1rtV78XhYNKaY1pb3xY1AujXTFQT/rd4d+mCV7t2qmC1kjzpM4O+eWhzetXSS+VM2j3JmOwY2hBaP6rLv49T2w47qOrvaUh2/Pi3oxRaRc8UQcUjbf58vZNseDhBjz16hTtKDmFQrpH159azN0ntxeFidmFIyyHGC85sgWO/OgQT3Pq2QX0sMYule2I1eXSfRqJOVAlgMpkIe+VlTc5avZq8/fsN1wxtNRSLwwvZkbCDLXFbjIN0ew0untJLPGjsWQM827UuAV5qnOtsWi4Lt59BIKhIWNPTSf1SP3kaMuQFQwHb0kYYlGvAarcyec9kTX6g4QNU93UqkaIo6jfbi7R4AKo0NYzx0a9HtV4nXRuE0rFucCnO+L+FZ7Nm+PbVS9okfWr0Qmr71zb0TJm0e5IWBwPANxw6OJ3EW/sOWAs10d/TlSHd9ZN4U9aeILtAL9kiEJQ3qfJM7ei8W506BNx55xXuKFmEQbkGVp5cycnMkwB4u3rzTPNnjBcc+w3ObVcfm13Vb7xO7IpJ43enDPhRfRqW6nz/i4QNH65ly+du307OFqMX8lyL5/B0Ub+xHU0/yqrTq4wDdBqu9qEHSI+BPcYi1o90rEW1APX+1JxCZm86jUBQESiKiyN94UJNDn1xOKZSzIq/HMKgXCVF9iKm75+uyY83eZwgD6dAl90Of+hZ1tz0FATqJ7cUReHDX/UchjtaRtAkwqlXiqBEcIuMNGTLJxfzUkK9Qnk46mFNnrZvGkX2In0AD3/o7FSLbcOHUKDXQXJ3sTD8Vr0w6KxNp0jL0b0YgaC8SJ4yFaVI/V32aN4c3169rnBHySMMylWyJmmN1okxyCOIRxo/Yrzg0BJjJ8ZbXjao1x9LZmdMuqq2mHjpNuGdlBYhLzxv6OyY9dtqg/7xpo8bOjsuO7HMOEC7Z8DPUWs0Jxm2TTeo72pVjbqOzo7ZBVamrz+BQFCeFJw8SeYy/fc4bOTIconNCoNyFeQW5fJj3I+a/HSzp/G+WKkW1H12506MHV8wlFix2xVDO9lB7WqKEiuliGt4OIEP6+Xpkz/7DMWqxzr83Px4sumTmjxj/wzyL+YMgVqSpdtoXd7yBeSla6KLxczLTl8I5m09Q3xmXgmvQiC4epI//0I7lejdqRPeHdqXyzyEQbkKFkYvJNOqtoKt4l2F+xreZ7xg73zIcJz48QyCm40nv349nMDhOLUGlIer2RDYFZQOwU8/rdZhAwpjYshcbigTx4NRDxLiqWa7J+Um8d3R74wDtHgQgh0/p4JM2Py5Qd2naRWaV1e3LAutdj7/43gprEIguDL5R46Q9ZteyjB0hLHESkZ+BoW2stmWFQblCmQWZBr6xD/X4jncLe76BUV5sFEvcUDnEeo+vAObXeGT1bp38vjNtQnz00uwCEoHl8BAgp/SvZCUqVOxF+p/VJ4unkjNJU3+8uCXZBc69YywuBgPVWyfAdlJmmgymRjVW88/+n5XLDEpemFKgaCsSJqsnzz17dULz6ZNDPr3d7zPgB8HsPT4UmO8sBQQBuUKzDk0h6yiLABq+dXi9rq3Gy/YORuyHFnTPlXgpqcN6h/3nudksvpB4+vuwrNd65T6nAUqgY88iiVQPbFVFBdHxpIlBv3d9e+mmo8aK8koyODr6K+NAzS5C8Idx76LcmHTpwZ15/ohdKyjHvu22RXhpQjKnNw9e8jZsFEVTCZChxmb/x1PP84vp38hPieet7a8xdG0o5cZpeQQBuUKZBdlYzapb9OQlkOMBSALsuFPpw+ZLi+Dmx4bKbTa+ez3Y5r8TJc6BHjp5e8FpYvFx5vgZ/Sj3anTZ2DP12MlrhZXnm/5vCbPPzyfzIJMfQCzGbqP0eVdsyFTT0oFeOm2BtrjH/ed53hiVgmuQCD4exRFMVSE8PvfAENrcoDp+6ejOHoPdq3elaYhxry4kkYYlCvwRoc3WHr7UgZUGcBtkbcZldunQ66jB5h/DWPpDuD7XeeITVeDtUHebobSHYKyIfDBQbiEqgckrMnJpH/zrUHfv3Z/Iv0iAfXLw7zDxrwTGvaFao7+9bZC2PCRQd02MohuDdXxFQUmOX2BEAhKk9ytW8nduVMVXFwIHWKM3UanRrPmzBpNfqFl6ReIFAblKqgbUJdHaz6qeSoA5GWop38u0vVVcNFjK/lFNqY4lad/tmsdfNzLtVvAfxKzhwfBz+lNtlJnzcKWrcc6LGaL4Q9tQfQC0vKdWuuYTGr/+YvsWwhpxmTGl3rpJ75WHUzg0PlMBILSRFEU9WSXg4C77sKtZk3DNVP3TdUe31rzVqKCS79TpTAo18vWqWpHRoCgOtBikEG9aMdZEi6o2yuhvu480iGyjCcouEjgPffgGhEBgC093ZBNDHBb5G3UD1S3CvKseXx1sFibndpdoVZn9bHdChsnGtTNqvvTu0m4Jk9aI7wUQemSs2kTefv2AWBydSXE6UsTwP7k/WyI3aDqMRm2dkuTcv3KLElSH2AyYAG+lGX5g2L6kcDTgBVIBp6UZfmMQ2cDDjouPSvLcrFoeSmSm2ZMduv2mnoqyEFeoY2p609q8vPd6uLpZimz6QmMmNzcCHnheeLHvAFA6ldfEfjQg1gcx4rNJjMvtHiBF9c7mnAdXcRjTR4j1MuRS2QyQffXYW4/Vd7/LdzyEgTX1V5jZK+GrD6SiKLAH38lse9cBi1rBJTdIgX/HYp7J/fdh2vVqoZLpu7VvZM+tftoX5hKm3LzUCRJsgBTgb5AY2CQJEmNi122F2gry3JzYAngvIGdJ8tyS8e/sjMmoG51FTqCryENL2metWDbGZKzCgCo4ufBoHY1i48gKGP8Bw7E1bElYM/MJG2eMVbSo2YPooLULYECWwFfHvzSOEBkJ70NgWKH9YbvPjSs4suA5hGa/JmIpQhKi507yT+k9vMxubsTPHiwQb07cTdb47cC6pel51uUjXcC5bvl1Q44IcvyKVmWC4FFwEDnC2RZXifLcq5D3AZUp7zJSYXtTn3Ju40Gs+595BRYmbFB905e6FEPD1fhnZQ3JhcXQp7XKwmnzZ2HLVOPdZhMJoa00oOaS44tITEn0TCG4cTXwcWQZOwvP7xnfcyOahfrjyaz+0w6AkFJotjt8O0iTQ584AFcw8MM10zbp3csHVBnAJH+kWU1vXLd8qoGnHOSY4F/qhfwFPCLk+whSdIu1O2wD2RZXna5myRJGgwMBvD19SU6Ovq6Jpufn090dDSh+6cQUqQGdfP963La3BCcxlx8KINUR7HAMG8XWvjkXPdrliQX51+Z+ddrqFcPIiIgLg57VhbHPv4EHtRjXyFKCPW963M85ziF9kImbpzIU5FPOQ3gS42qHfGJ3wooXFj5OudvnmB4iW61fVh7Sk2QfHfZXt67Td+KED+D8qeyz5+tWyEmRn3s7k5at66kOa3nyIUj7EjYAYAZM7d631qm6y1Pg3K5ymWXbdQtSdLDQFugq9PTNWVZjpMkqQ6wVpKkg7Isnyx+ryzLM4GZABMmTFCioq7vpEN0dDRRNUJgqd50yaP3OKIa61mpOQVWli3RWwOP6B1F86YVY7srOjqa6117RaEk1pA5YgRxr7wCgHnVKuqOHIGLI/kRYKT/SJ77XfVk1qas5eUuL1PF26mjpt8EmNVDfXhuLX5BCoTrO7VvhNRg/acbsCuwNz6PbM9wbooMKrH5lzeVfQ2Vef6K3c7pV0dT4JCDHn6I8I4dDdd89KseFRhYbyDdW3UvwxmW75ZXLFDDSa4OxBW/SJKkW4ExwO2yLF98L5FlOc7x/ylgPdCqNCcLwJbJasY0QJVm0GiAQT1va4xWyrx6oCd3ty7/HTqBEb9+fXGrqwbT7Tk5l8RSOkV0onloc0BtWTDrwCzjANXaQIOLTbwUtby9E3VCfbizlf5zFye+BCVF1uo1FBxTf59MXl4EP/WUQb8jfge7EncB4GJyYXDzwZeMUdqUp0HZCdSXJKm2JEluwAOAoYKfJEmtABnVmCQ5PR8oSZK743EI0Ak4UpqTteSnwQ6nQG3X0WomtYPsAiuzNp7S5CHd6+HmIk5lVzRMFguhL+hByvSvF2BN12MdJpOJF1roeSlLTywlLrvY9xznSsRHlkGi8VdvWM96WBzBlC0nU9l+KrUEVyD4L6LY7aRM1U9uBT30IC5Bej8mRVEMeScD6w00dpMtI8rtE0+WZSswBPgNiAa+l2X5sCRJ4yVJunhqayLgAyyWJGmfJEkXDU4UsEuSpP3AOtQYSqkalOC/FoLVUaK8SjNo1N+gn7clhvRctfBajSBP7m4jvJOKim+fPrjV+3svpWNER1qGtgTUts+zDhbzUiJaQYO+ulzMS6kV7M1drapp8mRR40vwL8lavZqC447fIw8Pgp580qDfkbCDPUl7ANU7uaSbbBlRrnkosiyvAlYVe+5Np8e3/s19W4BmpTs7J7KTCTzhVFiw22tqbsJFdYGVWZt072Ro9/q4WoR3UlExmc2EvvAC50eonRnTv15A0GOPabEUk0lNBBu8Rt0yWHZiGYObDaaqj9NZ/26vwjHHGZEjyyDxMITr8bQhPeqxdO95bHaFLSdT2XE6Dd+yWZ7gBqO4d0K/foa4n6IohpNdd9S/Qyt6WtaIT72rYctkzDZH+KZKM2jYz6CetyWGDId3UjPIiztbl88PU3D1+Pbu/Y9eSoeqHWgVpoblrHbrpXkpEa2MvwdX9FJELEVwfajeiVrGyezlBQONaXc7E3bq3onZhWeaFfNOLsRDYS5lgTAoVyI72Rg7Kead5BRY+XKTM
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