plot-variations.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Variations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# -----------------------------------------------------------------------------\n",
    "# Matplotlib cheat book\n",
    "# Released under the BSD License\n",
    "# -----------------------------------------------------------------------------\n",
    "\n",
    "# Scripts to generate all the basic plots \n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (color)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax = fig.add_axes([d,d,1-2*d,1-2*d])\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y = 4+2*np.sin(2*X)\n",
    "ax.plot(X, Y, color=\"black\", linewidth=0.75)\n",
    "ax.set_xlim(0, 8), ax.set_xticks(np.arange(1,8))\n",
    "ax.set_ylim(0, 8), ax.set_yticks(np.arange(1,8))\n",
    "ax.grid(linewidth=0.125)\n",
    "# plt.savefig(\"../figures/plot-color.pdf\")\n",
    "plt.show()\n",
    "fig.clear()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (linestyle)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax = fig.add_axes([d,d,1-2*d,1-2*d])\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y = 4+2*np.sin(2*X)\n",
    "ax.plot(X, Y, color=\"C1\", linewidth=0.75, linestyle=\"--\")\n",
    "ax.set_xlim(0, 8), ax.set_xticks(np.arange(1,8))\n",
    "ax.set_ylim(0, 8), ax.set_yticks(np.arange(1,8))\n",
    "ax.grid(linewidth=0.125)\n",
    "# plt.savefig(\"../figures/plot-linestyle.pdf\")\n",
    "plt.show()\n",
    "fig.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jTduGTIJx95hluYtnbUcj4o2LZ2HNN2HMIhgxw3Y0MOevIKObmWlOQamXMDWchpVfNacqj77ddjTGmEXmhPay/0irNvKSRmrWwN5XYM5nTfdtP5j7BWg6ZwrARVLRa98yB8ovsLgEfrUeA2DmJ8zkwNE3bUeTcKmXMK36mpmKv/MrdorfriUUMqPuE7thj5rqSYpxXVj6T5A7DGZ+0nY0VwydAmMXw7rvQON529GIJNaFE2YGdeL7zIyqX9z6l5DdOyVnmVIrYTp/BF7/gWnaNXiC7WjeasJ7oG+hKc5zXdvRiCTOrhfg0EazwSKzm+1o3mruF8wIfINmmSTFlH8DWhth3t/bjuStuvWFWZ+C3S/B4S22o0mo1EqYtvwcoq1mWcBvwhkmrsNboGqF7WhEEiPSCn/6kllynpqEI1A6atg0GH2naWTZVGc7GpHEOHfQdNOf+gEYMMp2NO8085MmcVrxL7YjSajUSZgiraZBZPEC03nUj6Y8ZJYtVv+H7UhEEqNiCZyqhPl/Z05H96N5XzTtBTb8r+1IRBIjtnV/7hftxtGWnF4w+zPm/nBgg+1oEiZ1EqaKJeaA3Zs+ZjuStmVkm/Xd2nLYv852NCJdt/mn0HMIjL3bdiRtG34jjLodXvs2NF2wHY1I15zdbxpE3vQx0zDSr2Y8Bj0GmkO4U0TqJEwbfwy5Q82OND+78cPQvb/ZMScSZOcOmoHKtEfMkrOfzftbuHja1DiKBNmWX5jmsLM+ZTuS68vqYdoMVK9KmVqm1EiYztRA5TKY/mH/37izepj13YolcGSr7WhEOm/LL8wGhulJOhm9K/JuguLbzDZsHYYtQRWNmPNRixdAn5G2o4lv6sOQkWPuFSkgNRKmTU+aFgLTP2Q7kva5+f9Adi8o+4btSEQ6JxqBzT83N+6+BbajaZ+Sz0HDKdj5gu1IRDqnaoU5My4IgxQwx5KNvw+2/RZaLtqOpsuCnzC1Npsb95hF0Hu47Wjap1sf00J+5/Nwap/taEQ6rvJP5sZ944dtR9J++bNNa483fmk7EpHO2fwz6NbP9BcLimmPmAayu16yHUmXBT9h2vUCNJyEm31c7H0tMx4zs2I6lFeCaNOT0GNQsG7cjmOWCGrK4Eyt7WhEOqb+JOz+I0x50GwgCoqCEuiTb9r+BFzwE6aNPzEvRtEC25F0TK+h5viWbb/RcSkSLOePmGNQpj1s/6zGjpryIODA1l/bjkSkY7Y9DdEW05g5SEIhM8tUvSrwA5VgJ0wn9pgt+jd91LwoQTPlITi3H/a/ZjsSkfZ74xfgRoJTM3i1PiOgsNQsy2mgIkHhuqb0ZPiNMPgG29F03JSHgOCvqAQwy7jKxh9DKDN4GXfMuLshqydsfcp2JCLtE43Cpp9B4Vz/NoiNZ+rDcLYW9q+1HYlI+xzaBCd2Bfe7rs8IKJ5/aaASsR1NpwU3YWpugDeeghveZU5IDqKs7nDDu2HH8+b/R8TvqpabWdEbP2I7ks4bfw9k5QZ+tCtpZPNPIbO7OWg3qKY9AucOmKW5gApuwrTjGVN57+fO3u0x5c+guQ72/NF2JCLxbfqpabw6zsedvePJ6gET3g07nlXnb/G/pgvw5jPmAPecXraj6bxx95jz5QLckym4CdPrP4KB4yD/VtuRdE3+HOiVpyJU8b+6Yyaxn/qBYO3SuZapD0NLPex60XYkIte38zlovhDc5biYjGyY9IBpL9Bw2nY0nRLMhOnwFji82cwuOY7taLomFDKzTPv+ZL6QRPzqjV9CtBWmf8R2JF03cqZ6MkkwbP459B9t3rNBN+0RiDTB9t/ZjqRTgpkwbfyJWc+d/Ge2I0mMyQ+as4G2/9Z2JCLXFo2apnn5c2DAKNvRdN3VPZnO7rcdjci1ndgLB9aZRCPokwMAQyfDkMmB7ckUvISp8bxJLCa+z3TMTgUDx5jtolqWE7+qWQ1nqoNd7P12Uy4NuPS5E7/a8jNwwpe25aeIaR+Eo9sCeZZq8BKmPX+Elobgr+e+3eQH4dh2OPqm7UhE3mnTk6Zgc/y9tiNJnD4jr/Rkcl3b0Yi8VaTFJPNj7oLcwbajSZxJ90M42xwiHDDBS5h2Pg+9hkPezbYjSayJ74NQBmzTaFd8pv6kKdSc8hBk5tiOJrGmPgxnatSTSfxn7ytQfyKYDWKvp3s/09pj29PQ0mg7mg4JVsLUeN4c+jn+vmB29r6eHv1h9J3mqJRIq+1oRK7Y9YI5kmHqw7YjSbzx95rmsSr+Fr/Z/HPoOQRGLbQdSeJNewQaz8KeP9iOpEOClXXsfdVU2E94t+1IvDHlQbhwDKpX2o5E5IqdL0C/Yhg8wXYkiXe5J9Nz0FxvOxoR4/xhqFxqWniEM2xHk3iFc6H3iMD1ZApWwrTzOcgdCnkzbEfijTF3Qk4fFaGKfzScNjvJbrgvNXbpXMvUh02fG/VkEr/Y+bzZOT31A7Yj8UYobP7f9q2AswdsR9NuwUmYmi5A5bLUXI6Lycg2tUy7XoKmOtvRiMCel03vpfH32Y7EOyNnQd8CLcuJf+x6EQbdAANG247EO1MeBFyz5B8Qwck8Kl6F1kZzdlwqm/IgtF40yyAitu16AXqPhGHTbEfinVhPpurVcKbWdjSS7i6cMJsQxt1jOxJv9SuCQRPMBEFABCdh2vk89BiUGt1OryfvZvNG2vqU7Ugk3TWeh33LTWF0qi7HxUx+wPwM0GhXUtSeP5rluFRq4dGW8feY5PDCCduRtEswEqbmeqhYauooQmHb0XjLccz2bXUgFtsqlkCkOT1u3H0LYMgk2B2sXTuSgna/ZHqEDZlkOxLvjbsHcANz+HwwEqaKpaZZZaovx8XERrs7n7cbh6S3nc9Dz8Ew4hbbkSTH2Lth/7rAjHYlBTWeh6qVpmYw1Wd1wSSFfUaaJDEAgpEw7Xweug+AkbfajiQ5+hbA4EmwOxhZt6Sg5gazyWLcPam7yeLtxt0NuKZhoIgNsVndVK9finEcGHevSRIbz9uOJi7/3wlbLpr+S+PvTc1+FG0Zu8gculh/ynYkko4ql12a1U3h3XFvN2SSKXDXspzYsutFU6s7IkVb51zL+HtMkli51HYkcfk/YapcBi316bMcFzNusSn8q3jVdiSSjna9CN36Qf4c25Ekj+OYWaZ9y00bE5Fkamk05SfjFqd+re7VRtxiVpACsFvO/wnTzufNjbugxHYkyTV0KuQOC0wxnKSQ1iazLDVucXrN6oL5f440maRJJJmqVpjJgXTYZHG1UNh87iqWmnuPj/k7YWpphD2vmCm7dLtxO45ZlqtcHrgDCiXgqlZB03kYn2azumDqJHP6aKAiybfrJcjuDQWltiNJvnH3QnOduff4mL8Tpn3LzUVMt+W4mLGLzYijerXtSCSd7HoesntB0VzbkSRfOMMMVPa8rEOwJXkireYg2jF3QkaW7WiSr2guZOXCbn8fT+TvhGnn82a0V5iGN26AwhJzknrATnSWAIu0mt2ZY+40R/Wko3F3m5PU979mOxJJF7Vr4OKZ9FuOi8nIhtG3m3tPNGI7mjb5N2FqbTKjvHH3QDjTdjR2ZGTDqNsunecVtR2NpIPacrh4OrXPjouneAFk5KithyTP7pfMe27UbbYjsWf8PdBwEg6stx1Jm/ybMFWthKZz6bscFzP2brhwDA5vsR2JpIOdL0Bmdxi10HYk9mT1gKL5pr2A69qORlJdNGrql0YtNO+9dDXqdghn+Xq3nH8Tpp3PmwK4onm2I7Fr9O3ghLUsJ96LRs1Id9RCyOpuOxq7xt0N5/bD0e22I5FUd3gL1B1On2aVbcnpZb7vd7/o24GKPxOm1mZz4x63OD0L4K7WvR/k32qW5US8dGC9mc1M91ldMIXfTkhNLMV7u16AUIapG0x34+4xZ6j6dKDiz4Sppgwaz6V3HcXVxi6G4zvhdLXtSCSV7XrBTImPvsN2JPb1GGAa6mlmV7zkuqZJbMEcMzhOd2MXXxqo+HNZzp8JU8USUwBXPN92JP4wdpH5qVkm8Ursxl28wEyNi1mWO7odztTajkRS1YndcHpf+u6Oe7ueA2HETN/WMfk0YVpqOntndrMdiT/0K4RBN6iZnnjn8BY4d0A37quNXWx+6nMnXoklBmPvthuHn4y/B47vgNNVtiN5B/8lTKerTMY9+nbbkfjL2EVQ+xo0nLYdiaSiva+aqfAxi2xH4h/9i81ARXVM4pVdL0DeDOg11HYk/hErfvfhLJP/EqaKZeZnOm9rvpaxd4MbMbNvIolWuRSG3wg9+tuOxF/GLtZARbxxphaObtOs7tv1zYchk3xZx+TDhGkJ9Csyozu5Ytg06DlERaiSePWn4NBmDVKuZdylgcreV21HIqkmVpM6Tstx7zDuXjiwAeqO2Y7kLfyVMLVcNDvktEvnnUIhGHsXVP7J9yc6S8DsWw64pnGcvNWwaZA7zJejXQm4ymXQf5QmB65l/D2AC3v9tdGpXQmT4zg1juNsdxznDcdxNnoWTc0aaG3UjbstY++G5gtQXWY7EkkllcugWz8YNtV2JP7jOGYGYN9yM6ATSYSWi1BTrlndtgy6AXoNNxMEPtKRGab5rutOdV33Js+iqVxq2gkUzPbsKQKtsBQye2jXjiRONGoSpuIFEArbjsafxi2GlgbYt8J2JJIqal+D1otQnMZnx12P45h7UtUqcyC4T2Qk4kEikQgtLS1dfpyMva/i5s8hQgYk4PFsS8Q1easw4aL5OHv+SOsdXzVvqgBK/HVJHUm/NkfeILPhJK1FC3B9/LpYfc8Mv4WMrB5E975KtNh/s9/6PF2bn69LqGIpoXA2rcNnWPmu8/O1iXEK55Gx5ee01q7DHXGL7XCA9s8wucASx3E2OY7zmCeRnK7COVONq4z7uqJj7sKpO4Jz5A3boUgKCO1bDoBbOM9uIH4WzsLNLyFUtcK3Z1xJsIT2LccdOSu9D9uNwy2Yi+uEcKqW2w7lsvbOMM12Xfew4ziDgKWO4+x2XXd17A/D4TCZmZldi6RmpXmssXcS7upj+UyXr83Vxi2Gl0JkVC2D/BmJe1wLEnpdUkzSrk3Vchg6lcy+w5PzfF1k7T0zeiFUvEJm3QHfFunq83Rtvrsu5w7CyT040z9IyHJsvrs2V8scCMNvIly9kvDCf7IdDdDOGSbXdQ9f+nkceBZI/Dd1xVLoV+zbm5Fv9OgPw6arnkK67uIZOLhBhaftUbzA/Nznn9GuBFSskFmfu/hG3WZantSfsh0J0I6EyXGcHo7j5Mb+HrgDeDOhUVxuJ+C/+gBfKl4AhzbCxbO2I5Egq1oJblSfu/boXwx9C3y3a0cCqHKZ2QE2cJztSPxv1ELAhSp/TBC0Z4ZpMFDuOM5WYAPwB9d1X0loFDXlaifQEcULzBdd9er4vyvSlsplkNMbhnu38TWlFN9mBnatzbYjkaCKtJqdX8ULArtpJ6mGTYNufX0zsxs3YXJdt8p13SmX/prguu5XEh5FxVLI6KZ2Au2VdxNk5frmTSQB5LpmtqRoPoQTslk29RUvMH3QDm6wHYkE1aGN0HROy3HtFQqbe1Tln3yx4cIfnb4rl0JhCWR2sx1JMIQzTU+mff54E0kAHdsBdUd04+6IwlIIZWhZTjqvchk4YSiaZzuS4Bh1G1w4au5ZltlPmE7tg9NVWo7rqOL5cHa/uXYiHVV56RBnJUztl9PLnCyvmV3prMplkHczdOtjO5LgiG24qFxmNw78kDBVXLpxj9aNu0O0a0e6ovJPMHgi9BpqO5JgKV4AR7ZC/UnbkUjQ1J+Ew2+YGRNpv17DYNAEs6Jimf2EqfJSO4F+RbYjCZZ+RdAnXwmTdFxTHexfqxt3Z4xaALhq6yEdt28F5pBrfe46bNQC2L8Omi5YDcNuwhQ7gHD0HVbDCKTYWTvVqyHi/zb34iNVqyDaqmXwzhg61RxU7IPRrgRM5TLo3h+GTrMdSfCMWgiRZpMvWGQ3YYq1E9ByXOdc3rXzuu1IJEgql0FWT/DJ+UyBErpUsLtvuTZcSPtFo+Y9UzQfQvYXdgJn5CzI7G59oGL3latYYtoJ5M+xGkZgFZaaHRdalpP2cl2TMBXNg4ws29EE06jb4MIxX+zakYA4th3qj2uTRWdlZEPBHFxXs4IAACAASURBVOuF35YTplg7gRyrYQRWtz6mJ5MSJmmvk3vh3AHVUXTF5Q0XWpaTdop90cfeO9JxoxaaXeGnq62FYC9hOrUPzlSrfqmriheYs3YaTtuORIKgQu0EuqzXMBg4XgMVab/KP8GQSZA72HYkwVV8aZBncaBiL2GKZdwa6XZN8aVdO9WrbEciQVC5DAaMhT4jbUcSbKNug9q10NxgOxLxu8bzcGC9Bild1b/Y3LcsNo61lzBVrTSHWaqdQNcMmw7ZvTXalfia66F2jQ7bTYTiBRBpMtdT5HqqV1/alaqEqUscx1zD6tXWznO0kzBFWs0OucK5Vp4+pYQzoKjU9PjQrh25nppyszVXs7pdl38rZORooCLxxXal5s2wHUnwFd9m9TxHOwnTkTeg6TwUKWFKiOIFppD3VKXtSMTP9i03u1JH3mo7kuDL7GaSJp0rJ9fjuqbmpnCudqUmwuXzHO3slrOTMFWtND81w5QYOiZF2qNqFYycqV2piVJ8G5zcA+cO2o5E/OpUpTnzU7O6iZHTy/SPszRQsZcwDZ4IPQZYefqUE6sFU8Ikbak7Bid2aVY3kWJfgvrcSVu0uSnxihfA0W1w4XjSnzr5CVPLRTiwwTTOk8QpXgDVZdaK4cTnasrMz8JSu3GkkoHjIHeYluWkbVWrzGC2b4HtSFJHrHjewkAl+QnT/nVmd4mW4xKreAG01FsrhhOfq1oJOb3NWWiSGLHzHKtWQjRiOxrxm0ir2UWp77rEGjLZnMkXK+1JouQnTNWrTNFWvgpPE6qgRMekSNuqV5n3SChsO5LUMmoBNJ41zWNFrhbb3KRZ3cQKhcy9rHp10neGJz9hqloFw2+C7J5Jf+qUltMLRsxQwiTvdLraFJ5qpJt4RfMBR587eafLm5uUMCVc0Vw4f8gclZJEyU2YLp4xWbcKT71RvAAOvwH1p2xHIn5Svdr81I078br3g6FTrlxjkZjq1drc5JXY4C/Jy3LJTZhqysGNaqTrlcvHpKy0HYn4SfUq6DkEBo61HUlqKiw1tYM6JkViWhrNcSgapHijXxH0Gp70gUpyE6aqVZDZHfJuTurTpo1h0yCnj5YH5ArXNTeVwlJTpCyJVzjXdFA/sN52JOIXBzdAa6MSJq84jrm2NWUQjSbtaZObMFWvunSkgDqeeiIUhoI5pr2ACMDxXVB/QsvgXho502xk0bKcxFSvNptw8mfbjiR1FZZCwyk4vjNpT5m8hOn8YTi5V8txXiucC2dr4UyN7UjED6pXmZ8a6XonuycMv1EJk1xRvfrSjH8v25Gkrtg9LXaPS4LkJUyxm4lGut4qLDE/NcskYJbB+xZCn5G2I0lthaVweDM0nrMdidjWVAeHNmmQ4rXeedCvOKkDleQlTFWroFs/GDwpaU+ZlgaOgx4Dr3R2lvQVa5ynQYr3CkvNhpbatbYjEdtq10K0VZ+7ZCgshZo15l6XBMlJmFzXTJsVlpimU+Idx7HW1Et85nLjPN24PZc3A8LZWpYT810XzjaHxIq3Ckuhuc7c65IgOdnLqUrTZKpoXlKeLu0VlkLdETi1z3YkYpMa5yVPZg6MvAVqlDClvepVpolwZjfbkaS+JNcxJSdhunzj1kg3KSwUw4kPVa9S47xkKiyFo9uh4bTtSMSWhtPmPaDvuuToMcDc46pSKWGqXgW9R5hmU+I9S029xEdaLsL+9bpxJ1PsWqt+MH2pq37yFZaaHmgtjZ4/lfcJUzRidmwVzlXjvGS53NSrPKlNvcRHDmyASJMKT5Np2DTI6qmBSjqrXm3eA8On244kfRSWmiahB1/3/Km8T5iObjOneevGnVwFJdBwEk7ssh2J2FC9yjTOGznLdiTpI5xpGvMqYUpf1avNeyCcaTuS9JF/KzihpHzuvE+YYmuLWhpILvVjSm9Vq0wzRTXOS66CEtOg9/wR25FIsp0/DKcqtByXbDm9Ydj0pNTsJiFhWgkDx0PuYM+fSq7SZyT0LdBoNx01njNNFDWrm3yxL0vVMaWfy/VL+twlXWGpaRbaVOfp03ibMLU2wf51unHbUlgKteWmjkzSR+1rpomibtzJN2SSOQBbO1TTT/XqS82ZJ9qOJP0UlppmofvXefo03iZMBzZA60XduG0pnGtmG45usx2JJFPVKsjIMb1gJLl0AHZ6cl3zuVNzZjtG3ALhLM8HKt6+stWrTDFWgU5stqJgjvmpZbn0Ur0KRs6EjGzbkaQnHYCdfk5XwfmDql+yJau7SZo8/q7zNmGqKb90YnNvT59G2pA7BAaM1Wg3nVw4Dsd3albXpsuNY/W5SxuqX7KvsBSObPO0cax3CVNzAxzceGWWQ+woLDE1LZEW25FIMsRu3KobtGfgWOgxSDO76aR6FeQOg/6jbEeSvgpLAddM1HjEu4TpwHqItkCBpiitKiyFlno4vMV2JJIM1asguzcMnWo7kvQVaxyrA7DTQzR6qTlzqZoz2zRsOmT28HSg4l3CVFN2qXGeTmy2Kj9Wx6RdO2mhptzUDIbCtiNJb4WlcOEonKywHYl47fhO0yRY9Ut2ZWR53jjWw4Sp3LSHz8717CmkHXr0h8GTtDyQDs4dMsWnWga373LjWA1UUp7Oj/OPwlI4ucezxrHeJExNF0wTKd24/aGw1LR4SMLhhGJRbO1enzv7+haaA8c1UEl91avN691nhO1IxOPGsd4kTAfWmyZSBSWePLx0UGFJ0g4nFItqykzTxMGTbEcilw/ALtMB2KksGjGbajS75A8eN471JmGqKYNQhumLIPbFDifUcQ2praYc8mercZ5fFJbCxTNwfIftSMQrR7dD0zlNDvhFrHGsRzvlPEqYyk3FenZPTx5eOijn0q4pLQ+krnMH4Uy1luP8JPYlqs9d6tIyuP8UzDFNY88eSPhDJz5haroAhzZfKXoUfygsNX2xmuttRyJeiN249bnzj97DTV8eJUypq6bMvMa9htqORGJiyWvtmoQ/dOITpv3rwI0o4/abwlLTF8vjwwnFkpoy6NYXBk2wHYlcrWCOqXHRAdipJ1a/pO86fxk0wdwLPei0n/iEqaYMQpmqX/KbkTPN66LRbmqqLlP9kh8VlEDTeR2AnYqObjOvreqX/CUUMvdCD2p2vUmYht8IWT0S/tDSBVk9zOuiwu/Uc3a/OexVN27/ic0+eHhcg1ii+iX/Kigx98Sz+xP6sIlNmBrPw+E3VEfhV4Ul5vVpPG87Ekmkmktr9bpx+0/uEOg/WglTKqouM69t7hDbkcjbXR6oJLaOKbEJk+qX/K1gjnl9Dqy3HYkkUk0ZdOsHg26wHYlcS6yOKdJqOxJJlEgr7F+r7zq/GnSDqWNK8EAlsQlTrH4pb0ZCH1YSJG+GeX20LJdaasounR+n+iVfKpijOqZUc7l+SQmTL12uY0pszW7iE6a8myGre0IfVhIkqzvk3aTlgVRy5tI6veqX/Et1TKlH9Uv+V1hq7o1nahP2kIlLmBrPwZGtegP5XcEc1TGlkss3biVMvqU6ptRTUwYDxqh+yc886MeUuIRp/zpwoyr49jvVMaWWmnLo3h8GjrMdiVxPwRxT86I6puCLtEKt6pd8b+B4U9uZwIFK4hKm6tUQzjJLcuJfeTPM66Q6ptSg8+OCQXVMqePoVmiuU8Lkd6GQqe1M4Hdd4u6yNeXmyzizW8IeUjyQ1R2G3+RJF1RJsjM1cG6/TkoPgtiSqQYqwRebschXwuR7BSUJrWNKTMLU0mhGTsq4g6FgDhxRHVPgqfA0OHIHm5oX1TEFX005DBhrXlPxtwRvuEhMwnTugOqXgqRgjnm9dK5csNWUQ/cBql8KioI5pvZFdUzBpfqlYBk43tR4+iphOrsfwtlmqUf8L+9m1TEFneuaZdWCOeA4tqOR9iiYY2pfjm61HYl01hHVLwXK5X5MSU6YHMcJO46zxXGcl97xh2drYcQMyMxJSFDisVgdk5YHgutMDZw/qBt3kOSrH1PgxQaZ+twFR0GJqfU8U9Plh+rIDNNngF3X/JMLx9UHJmhUxxRs6r8UPKpjCr6acrME3nOQ7UikvRJYx9SuhMlxnDzgbuCH1/4NVxl30KiOKdhqyqDHQBg41nYk0hGqYwquSIvOjwuigeMSVseU0c7f+y/gC0Dutf7QDWXQMngKtLR0OaBU0uLn6zFkKhnhLKJVq4gWzk/qU/v6uljWrmvjumRUl+GOvJVIa3p88abKe8YZMYuMjT+m9cAm3OHTE/KYqXJtEi3R18U5tImM5gu0jpiFG/Brnm7vmfDI2TjVZbQ2N3ep5jPuDJPjOPcAx13X3dTmL/UrhozsTgchFmR2xx02HadWywOBc7YGp+4wbv5s25FIB7kjzWvm7NfnLmicS0dsuCNvtRyJdJSbPxvn/EFTy9QF7Zlhmg3c5zjOYiAH6OU4zi9c130k9gvOxPeSmZnZpUBSmW+vTWEplH2dUKQBcnon/el9e1184LrX5qBZRg0XzyecZtcw8O+ZvsNhwFjC+9cSLv18Qh868NfGIwm7Lgdeg4HjyewzLDGP5wNp854pngtA5oG1MHBUpx8m7gyT67p/57punuu6BcCDwPKrkyUJsMIS1TEFUXUZ9BgEA0bbjkQ6Q+fKBU+kRf2XgixBdUw6gCqdqR9T8Liu+dCr/1JwFcyB5gump48Ew+E3oKVeCVNQOY557WrKzT20kzqUMLmuu9J13Xs6/WziL5ndTNKkbc7BcboK6g6rq36QXd7mrIFKYMReK9UNBldBield14V+TJphSncFc8xIt/Gc7UikPapXm5/qvxRcPQeZs8iUMAVHTbk5ZqPnQNuRSGddPgC78xMESpjSnfoxBUtNOfQcAv07X7goPlAwx3zmIum1vTuQIi3mtdJyXLANHGvO3uzCQEUJU7pTHVNwuK55nVS/FHyqYwqOQ5tN/ZKWwYMtAXVMSpjSXayOqVoJk++dqoQLx3TjTgWqYwqOmkvL4PmaYQq8whI4f8jUgnaCEiYxN++j2+DiWduRyPWofil19BxktjproOJ/NeUweCL06G87Eumqy3VMnfvcKWES1TEFRU055A6DfkW2I5FEUB2T/7U2wf71GqSkigFjoOfgTg9UlDCJ6piCINZ/qbBE9UupoqDE1MYc2mw7EmnLoU3QelEF36nich1TWafqmJQwyVX9mJQw+daJPVB/XDfuVHJ5eWC13TikbdVlgAMF6r+UMgpKTC3oyYoO/6dKmMQoKIGj2+HiGduRyLXEklktDaSOHv1h0ATVMflZTRkMmQTd+tqORBKlsNT87MQEgRImMWLnytW+ZjsSuZaaMuiVB30LbEciiVRYAgfWm1oZ8ZeWRjiw4coXrKSGfkWmFlQJk3Ra3s2QkaPRrh+pfil1FZRAayMc3Gg7Enm7g69DpEnL4KnGccy9tBP9mJQwiZGRDSNuUR2THx3fBQ2ndONORQWzAUefOz+qKQMnBPm32o5EEq1gDtSfgBO7O/SfKWGSKwpL4NibUH/SdiRyNdUvpa5ufU2NjGZ2/aemHIZOgZzetiORRIvdSzv4uVPCJFcUxIrhOn84oXigpgz6jIS++bYjES8UlsLBDdBy0XYkEtNy0SzJaVY3NfUtgN4jOrxDVQmTXDF8OmT20PKAn0SjJoHV7FLqKiiBSLMpMBZ/OLDevCYFKvhOSY5jPnc1a8w9tp2UMMkV4UzIn3XlCA6x7/hO0+pBCVPqyp9lamU0UPGP6jJwwua1kdRUWAIXT5t7bDspYZK3KiiBk3uh7qjtSASuql/S0kDKyukNQ6eqjslPasph2DTIzrUdiXilEwdgK2GStypUHZOv1JSb9fY+I2xHIl4qLDHHcDTX245EmuvNa6FBSmrrMxL65HdooKKESd5q6BTI7g3Vq2xHIpfrl3TjTnkFpRBt0QHYfrB/nXktCrUMnvIKS6C2HKKRdv26EiZ5q1DY9B3R8oB9x7ZD41kVnqaDkTMhlKE6Jj+oKTOvxYiZtiMRrxWUQuM5cyxYOyhhkncqLIEz1XDuoO1I0ltsWVQzTKkvuycMv1EDFT+oKTevRXZP25GI12KziO0sQVHCJO8Uq2PSzduu6jJz7lHv4bYjkWQoKIHDW6CpznYk6aupDg5t1iAlXfQaBv2K2z2zq4RJ3mnQBOjWT+0FbIpGzEHIaieQPgpLwI1A7VrbkaSv/evMa6DPXfooLDH32khr3F9VwiTvFAqZM65qyjp8OKEkyNFt0HRON+50MuIWCGd1uPuwJFD1aghlmtdC0kNBCTSdh6Nb4/6qEia5tsK5cO4AnKmxHUl6Uv1S+snsBnk3ayncpppyyLsJsrrbjkSSJXaPbcfnTgmTXNvlwwk12rWiugz6j4JeQ21HIslUUAJHtpru7pJcjefgyBua1U03uUNgwJh21TEpYZJrGzgWegzSNmcbIi2qX0pXhSWAa15/Sa7ateBG1X8pHRWUmPq1SMt1f00Jk1yb45gbR7XqmJLNObIFmuugaJ7tUCTZ8m6GjBwty9lQUwbhbMibYTsSSbbCEmi+AIffuO6vKWGSthWUwIWjcLLCdiRpxaleDThX2jtI+sjIhhEzNLNrQ02ZSVgzc2xHIskWm82Ps+FCCZO07fK5cqpjSianZhUMnQzd+9kORWwoKIVjb0L9KduRpI+G03BkmwYp6arHABh0Q9yZXSVM0rZ+RdBruJYHkqm5HufgRi3HpbNYDU2tDsBOmurVgKvPXTqL1TG1NrX5K0qYpG2OY95ENeXmIFjxnHNgHU60xbR1kPQ0bDpkdtdAJZmqVkJWrjkSRdJT0TxovQgH1rf5K0qY5PoKS6DhJJzYZTuStOBUr8INZ8HIWbZDEVsyssxhvKpjSp6qleZeF86wHYnYUjAHnLB5L7RBCZNc3+V+TLp5J0Oopgw3b4Ya56W7wrlwYjfUHbUdSeo7U2MOGy+aZzkQsSqnl2laqoRJOq1vPvTJ12g3GepP4hzbjlugwtO0VzTP/LzOzVsSJHaNi+ZZDEJ8oWieOQC7DUqYJL7CEpMwRSO2I0lt1asAcFW/JEMmQ/f+sG+F7UhSX9VKyB1quj1Leiuab5qXtkEJk8RXNN8cGxCnqZd0UdUq3OxeuEOn2I5EbAuFzLJc1Uo1jvVSNApVq8zMguPYjkZsy7sJsnq2+cdKmCS+2IxH1XK7caS6qpW4+bMhpMJTAYrnm8axx7XhwjPHtsPF01qOEyOcCfmz2/xjJUwSX8+BMGSSlge8dLoaztbiFmg5Ti4pmm9+Vulz55lY/ZKWwSWmeH6bf6SESdqneAEc2ABNF2xHkpou1S9FdeOWmD4joP8oFX57qWolDBwPvYbajkT8omhem3+khEnap2g+RFugdo3tSFJTrPC0/yjbkYifFM2HmjXQ2mw7ktTT0gi1a7UcJ281cFybf6SESdpn5Cxzivo+1TElXDRqjmYomqfCU3mronnQUg8HN9iOJPUc3GA6OxfNsx2J+Ml17sFKmKR9MnMg/1bVMXnh2JvQcEp1FPJOhSWm+7A+d4m3b4W5tgVtF/mKXE0Jk7Rf8QI4uQfOHbIdSWq53DhPCZO8TU5vc76ZCr8Tr2ol5N0M2bm2I5GAUMIk7addO96oXgUDxkKvYbYjET8qnm+6D188YzuS1HHxjLmmRfNsRyIBooRJ2m/wBOgxSMsDidTaDLWvaXZJ2hbrPqzzHBOnugxwlTBJhyhhkvZzHDParVphCpWl6w6+Di0NunFL2/JugqxczewmUtVK09E57ybbkUiAKGGSjimabwqUj223HUlqqFoJTggK5tiORPwqnGneH5rZTZyqleaahjNtRyIBooRJOibWBVXtBRKjaiUMm26Ke0XaUjQPzlTDmRrLgaSAs/vh9D7N6kqHKWGSjskdAoNu0Gg3ERrPw6FNunFLfJcHKvrcdVmV6aqvz510lBIm6bjiBbB/HTQ32I4k2GrXgBvRjVviGzAGcofpmJREqFoJPQdft6OzyLUoYZKOK5oPkSbY/5rtSIKtaiVkdIMRM2xHIn4X23BRvQqiEdvRBFc0aj53RfPUVV86TAmTdFz+rRDO0vJAV1WtgvxZkJFtOxIJgqL5pn/Qka22Iwmu4zug4aRmdaVTlDBJx2V1h5EzlTB1xblDcGKXbtzSfkXzzE+1F+i82JKmjiGSTlDCJJ1TNN+M1uqO2Y4kmCqXmp+j77AbhwRHz4EweJIGKl1RtdLUg/UebjsSCSAlTNI5xQvMTxWhdk7FUug9QoWn0jFFc+HAem246IzWpktd9efbjkQCSgmTdM6QydC9v/oxdUZrk0k0R9+hwlPpmOL5EGnWhovOqCk3XfVjgz2RDlLCJJ0TCpmaiqoV4Lq2owmW/Wuh+YKW46TjRmrDRadVLIGMHCgstR2JBJQSJum8ovlw4Rgc32k7kmDZuwTC2VBYYjsSCZrYhgsthXeM68LeV6GgxFxDkU5QwiSdp+7DnVOxxJxjldXDdiQSREXz4dibUHfUdiTBcarSHC0z5k7bkUiAKWGSzuudZ3acaJtz+52uglMVWo6Tzot96e991W4cQRK7VvrcSRcoYZKuKV4ANWugpdF2JMFQscz8HH273TgkuAbdYHZYKmFqv4pXzY7Uvvm2I5EAi5swOY6T4zjOBsdxtjqOs8NxnCeSEZgERPFt0HoRasttRxIMFUugXzH0L7YdiQSV48CYu8zMrgYq8TWeN+0ENLskXdSeGaYmYIHrulOAqcBdjuPM9DYsCYzCUsjsDnteth2J/zU3QE2ZbtzSdWPuMlvka8psR+J/VSsg2qr6JemyuAmTa1y49I+Zl/7SPnIxMnPMstyeV9ReIJ6acmht1HKcdF3BHMjsAXtfsR2J/+1dAtm9YcQttiORgMtozy85jhMGNgGjgO+4rrv+6j+PRCK0tLR4EF6wpcs1cYpvJ2P3S7Qc3AJDJsX9/XS5Lm8X2vMKoczutA6fAW1cg3S9NvHourxdmHDhXJw9L9My70tqgHoNLS0t4EbJqFiCWzSPSBSI6n0E+jx1VruKvl3XjbiuOxXIA2Y4jjPR27AkSNxRt+PiEKpQEWqbXJdQ5VLcghLTPE+ki6Kj78A5fwjnxC7bofhW6Og2nPrjREdpGVy6rl0zTDGu6551HGclcBfwZuzfh8NhMjMzExxa6kj5a9N3OOTdRLjyVcIL/q7d/1nKX5erndgD5/bjlPwVoXb8f6fVtekAXZerjFsMf/gsWdV/Ijp8iq7NNYRqVgAOGePuAl2fd9B7pmPas0tuoOM4fS79fTdgIbDb68AkYMYugsNb4PwR25H4U8US83OU6pckQXIHw7DpOJVLbEfiW07lUhh+I/QYYDsUSQHtWZIbCqxwHGcb8Dqw1HXdl7wNSwJnzCLzU0Wo11axxPTP6TPCdiSSSsYuwjm0CepP2I7Efy4cJ3Rki3bHScK0Z5fcNtd1p7muO9l13Ymu634pGYFJwAwaD31GKmG6lsbzULtWu+Mk8cbciYOLU7nMdiS+4+z7k/kbtfGQBFGnb0kMx4Gxi82hoM0NtqPxl+pVZneObtySaEMm4+YOJaRluXcIVS7F7TkYhk6xHYqkCCVMkjhj7jJ9hnSS+ltVLIHsXuoDI4nnOERH3YFTtRxam2xH4x+RFpzqFbjFC9VyQRJGCZMkTv5skxjs+aPtSPzDdaFiKRTPh7B2pEjiuaPvwGmuh9o1tkPxj/1rcZrq1E5AEkoJkyRORhaMus0cChqN2o7GH45uh7ojWo4Tz7gFpbgZ3Uy3fTH2voobysQtLLUdiaQQJUySWGMXQ/1xOLzZdiT+cLmdwEK7cUjqyuxmGqLu1fFEl1Uswc2/FbJzbUciKUQJkyTWqIXghHUYb0zFUlN0mjvEdiSSwqKj74SztXBCLfI4XQUn9+Kq55kkmBImSazu/WDkLLUXAGg4DQc3wGj1gRFvubFaHX3uzGG7QFQJkySYEiZJvLF3wbE34ex+25HYtfslcKOmC7qIl3oNNTOZe3WeIxWvQr9i85dIAilhksQbu9j8TPci1B3PQt8CGDbNdiSSDsbcBQfWm5nNdNVcDzXl6u4tnlDCJInXvxj6j07v9gINp6FqFUx4j/rASHKMudPMaFYstR2JPXtfhUizSR5FEkwJk3hj7CIz0ms8bzsSO3a9CG7EJEwiyTB0GvQcDHvTeMPFjmegxyAomGM7EklBSpjEG2MXmeNAYuc5pZsdz0LfQhgy2XYkki5CIdPvq/JPEGmxHU3yNZ43Bd8T3g2hsO1oJAUpYRJv5M2Abn3Ts46p/iRUr9ZynCTf2MXQdN6cX5hu9rwMkSaY+D7bkUiKUsIk3ghnmO30Fa9CpNV2NMml5TixpXgBZPeG7b+3HUny7XgGeg03gzURDyhhEu+MXQQXz8D+tbYjSa4dz5otzUMm2Y5E0k1mDtxwr0naWy7ajiZ5Lp4xS5ET3mOWJkU8oHeWeGf07ZDZA7b/1nYkyVN/EmrKtBwn9kx6PzTXpVdPpl0vmZrJie+1HYmkMCVM4p2sHjD+XtjxHLQ02o4mOXa9YLZ2azlObCkoMbvl0mmg8ubvL/U8m247EklhSpjEW5MfgKZzVw6hTXU7noX+o2DwBNuRSLoKhU3hc8USuHjWdjTeu3Di0iaL92pWVzylhEm8VTjXjHa3PW07Eu9dOG56T2k5TmybdL9p4LjrRduReG/X82aThXbHiceUMIm3whlXjXbP2I7GW1qOE78YNt30AUuHZbk3n4UBYzSrK55TwiTem/yAGe3ufN52JN7a8Zy5cQ+6wXYkku4cxxR/15RB3VHb0Xjn/BGoXWMGZZrVFY8pYRLvDZ1qEoltv7EdiXfqjpkbt5bjxC8m3W9mPHc8azsS7+x8DnBN/ZKIx5Qwifccx8wy1a6Bs/ttR+MNLceJ3wwca47mSeVluTefgcGTYOAY25FIGlDCJMkx6f3mZ6revHc8BwPHwaDxtiMRuWLS++HQJji1z3YkiXd2P7aaiQAAESxJREFUPxzcABM1SJHkUMIkydG3AEbMhK1Pg+vajiax6o6a2bMb3m07EpG3mvg+wDF9ilJNbKlRy3GSJEqYJHkmPwAn98Cx7bYjSaydL2DqKJQwic/0Hg75s039YKoNVN78vdkN2K/QdiSSJpQwSfJMeA+EMgm9+TvbkSTWjmdh4Hgtx4k/TbofTlXA0W22I0mcU/vgyFb1XpKkUsIkydO9H4y+g9CO30M0YjuaxDh/xBwurGJv8asb3gWhzNSqH9zxjPmpWV1JIiVMklyTH8C5cAynttx2JImx5ReAa0bxIn7UvR+MWgjbfw/RqO1oEuPNZ2DkLOidZzsSSSNKmCS5xtyFm51L6M0UGO1GWmHjj6FoPvQvth2NSNsm3Q91h2H/a7Yj6brju+D4ThV7S9IpYZLkyszBHXcfzu4XobnBdjRds+cP5ktoxmO2IxG5vrGLILN7aizLbfwxhLO0DC5Jp4RJki468X6c5nrY+7LtULpmww+g90gYc6ftSESuL6sHjLvbHE/U2mw7ms5rPAdv/MoUe/ccaDsaSTNKmCTp3PzZuLnDgn1UyvHd5pyumz4KobDtaETim/R+cwD23ldsR9J5b/wKmi/ALR+3HYmkISVMknxOiOjE90HlMqg/aTuaznn9h2ZZYPqHbEci0j7Ft5kZ0XXftR1J50QjsP77pgHusGm2o5E0pIRJrIhOfD9EW82IMWgaz8PWp8yyQI8BtqMRaZ9wBsz8hGmDcXCT7Wg6rmIpnKnW7JJYo4RJ7Bh0AxSUwLr/CV5NxbanzbLAzf/HdiQiHTPtg5DdC9Z+y3YkHbf+e5A7DMbfazsSSVNKmMSe2Z81u8yCtHPHdU2x97BpkHej7WhEOianF9z4YVP8fabWdjTtd3w3VK2Am/8cwpm2o5E0pYRJ7Bl1GwyeCK/9d3Aa6tWUmfPwNLskQXXLJ8AJmXqgoNjwfQhnw40ftR2JpDElTGKP48Dsz8CJ3VDxqu1o2mfDD6BbX5iopnkSUL3zTA+jzT8z2/T97uIZ2PprmPx+6NHfdjSSxpQwiV0T3mt27pT/l+1I4jt3CHb/weyMy+xmOxqRzpv1aWiug00/tR1JfFt+AS0NMEPF3mKXEiaxK5wBt34aDqyD/etsR3N9m34CbhRu+pjtSES6ZthUs+li/fcg0mI7mrZFI7DhfyF/NgydbDsaSXNKmMS+aY9At36w5pu2I2lba7MZjY+5E/oW2I5GpOtmfRrOH4Idz9mOpG17X4Gz+9VKQHxBCZPYl9XDnMe2549mN4wf7XoB6o+r2FtSx+g7oP9o02LAdW1Hc23r/gd6j4Cxd9uOREQJk/jEjMcgoxu85tP+MBt+AP2KoHiB7UhEEiMUglmfgiNboabcdjTvdGyH2ZV686Nm6V7EMiVM4g89+sP0D5qmkOcO2Y7mrY5sNTVWNz9qvmREUsWUB6H7AFj7bduRvNP675tBlI4fEp/Q3V/8Y9anTFH1+v+xHckVrgtL/h/k9IapH7AdjUhiZXYzA4G9r8CJvbajuaLhtDmce/ID0L2f7WhEACVM4id9C0x/mI1PwsWztqMxdr0I1atg/j+a/ksiqebmR01TyHXfsR3JFWu/Da0XTZNNEZ9QwiT+Mvszpj/Mxh/ZjgSaG+DVf4BBE9RKQFJXz4FmaW7rr6H+pO1o4MQeWPPfMOUhGHyD7WhELlPCJP4ydLIprF73PWhptBvLmm/Cuf2w+GsqOpXUNuvT0NoIq75mNw7XhZc+Z3bO3v7PdmMReRslTOI/sz9rtvBvttiF+EwtrPkv04m8YI69OESSYeAY0zJjw/9C7Vp7cWz9NdSWw+1PmJkvER9RwiT+U1gKRfNg2RNwap+dGF79e3NA6R1ftvP8Ism28HHoMwKe/xS0XEz+8zechiX/CHkzYJp2xon/KGES/3EceNd3zTLYs5+ASGtyn3/fctj9EpR8HnoPT+5zi9iS3RPu+xac3gcrvpL85//TE+ag3Xv+U+07xJf0rhR/6j0c7v4GHNwAa/4zec8baYGX/9bs2Jv16eQ9r4gfFM2DGz8Ca78DBzcm73n3r4dNT8LMT8KQicl7XpEOUMIk/jXpfpj4Plj5VTj8RnKec/334eQeuOurkJmTnOcU8ZPb/xlyh8Fzf5GcjReRVvjD56DXcJj3d94/n0gnKWESf1v8degxEJ55zPu6irpjJjkbdTuMucvb5xLxq5xecO83zcBh1b95/3zrvwfH3oRFXzPLgiI+pYRJ/K17P3j3d83Ne9kT3j7XssfN1uq7vmrqqETS1eiFMPVh01rj8BbvnufcQVjxLzBmEYzTAbvib0qYxP+KF8CMj5sjU/at8OY5al+Drb8yx7MMGOXNc4gEyZ1fMbO7z30KWpu9eY6Xv2iOQ1r0bxqkiO8pYZJgWPg4DBhj6iounknsY9e+Br/6M+iTD6V/ndjHFgmqbn3h3v+C4zug7D8S//hvPmN2o877IvTNT/zjiySYEiYJhqzu8J7vm4aWf/ybxD1uxTL4+Xuh52D46B8hOzdxjy0SdGMXwaQHoOzrid148foP4fePwrDpMPNTiXtcEQ8pYZLgGD4d5n4Rtv/W3HBdt2uPt+NZeOpBswT30Zehd15i4hRJJYv+DboPgCfvgTd/37XHikbM+Yx/+DyMWggffhEyshITp4jHlDBJsMz5nOkE/ofPw9OPmJ1tnbH5Z/C7j8HwG+HDL+kYBpG2dO8Hjy6FQePNZ+bFz3Rux2pzPfzmQ7D226Ym8aGntCtOAkUJkwRLOAMeeRYWPgEVS+G7t8C233Zstum1b8MLfwlF8+GDz0K3Pt7FK5IK+ow0S9azP2MaTP7gNjixt/3/fd1R+Mli2PNHuOvfzIHWobBn4Yp4IW7C5DjOCMdxVjiOs8txnB2O43wmGYGJtCmcAXM+C58oh/6j4JlH4dcPm5vy9bguLP8KLPkHuOFd8NCvTW2UiMQXzoTbvwQP/w4uHIX/nWcOy43n2A6TYJ2sgAefgpmf8DxUES9ktON3WoHPu6672XGcXGCT4zhLXdfd6XFsItc3cAx87FVY911Y/mX4zi2m3mLyn8GFY3C66qq/quHkXtMgb+ojpjFfuD1vfxF5i9G3m8HK7/4cnv04VK82S+XNF6CpDprOQ+N587PhFKz9rll6+9jLMHSK7ehFOi3uN4brukeAI5f+vs5xnF3AcOBywhSJRGhpafEsyKDSNbm2hF+Xmz8BRbcRfukzhJ79OO4L/xcn0nT5j10nDH1G4vYtxL3tcaK3/AVEXYj67/XRe+badF3aZuXadBsIDz9DaPW/E1rzDZw3ftnmr0aHTvv/7d3Nq6Z1Hcfxz9czx8yHSakIS2ESxE2LFMlCEOlRS6RFi4JcRGGLCKVFZJvoH4h2bbRSMqN8WBQRBRUmlJEPkaVEhdH0NJWE2SaZvi3mFiXO4TvqnLmuGV8vuJkzZ+Dmw4/DzPvc132dyeH33Zrsf21yHLf6mtmds3lhnte32FV1IMnFSe7fizHwgr3ywhy+7pvph25LnvhNcs4F6XMOpM95ffKK849cTgCOnVP25b9X3pS+8F3JP36dnHpWctpZ6ZftT555nLY/2XIXHCeHow6mqjozyV1JbuzuJ5/7Z1tbW9ne9g/SbpzNzo79uWwnb77+GD/nMnzN7My57G6xszlw2ZHHSvma2Z2zeX6O6i65qtrOkVi6vbvv3ttJAADrcjR3yVWSW5I82t2f2/tJAADrcjSvMF2e5Lokb62qhzePd+/xLgCA1Tiau+TuS+K/kQYAXrL8pG8AgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgIFgAgAYCCYAgMEYTFX1xao6VFWPHI9BAABrczSvMH05yVV7vAMAYLXGYOrue5M8cRy2AACs0r5j8SSHDx/O008/fSye6qTiTHbmXHbnbHbmXHbnbHbmXHbnbF4Yb/oGABgck1eYtra2sr29fSye6qTkbHbmXHbnbHbmXHbnbHbmXHbnbJ4frzABAAyO5scK3JHkx0kuqqqDVfXhvZ8FALAe4yW57v7A8RgCALBWLskBAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAwEEwDAQDABAAyqu1/8k1TdnOTgi58DALCo87r7I///yWMSTAAAJzOX5AAABoIJAGAgmPZIVX2xqg5V1SNLb1mTqjq/qn5QVY9W1S+r6oalN61BVZ1WVT+tqp9vzuWzS29am6raqqqHqupbS29Zk6p6vKp+UVUPV9XPlt6zFlV1dlXdWVWPbf6+ecvSm9agqi7afK0883iyqm5ceteJwHuY9khVXZHkqSS3dfcblt6zFlV1bpJzu/vBqjoryQNJ3tvdv1p42qKqqpKc0d1PVdV2kvuS3NDdP1l42mpU1SeSXJpkf3dfs/Setaiqx5Nc2t1/X3rLmlTVrUl+1N03V9WpSU7v7n8uvWtNqmoryR+TXNbdv196z9p5hWmPdPe9SZ5YesfadPefu/vBzcf/SvJoktctu2p5fcRTm99ubx6+m9moqvOSvCfJzUtvYf2qan+SK5LckiTd/R+xtKO3JfmtWDo6gonFVNWBJBcnuX/ZJeuwueT0cJJDSb7X3c7lWZ9P8skk/116yAp1ku9W1QNVdf3SY1bigiR/S/KlzWXcm6vqjKVHrdD7k9yx9IgThWBiEVV1ZpK7ktzY3U8uvWcNuvtwd78xyXlJ3lRVLuUmqaprkhzq7geW3rJSl3f3JUmuTvKxzdsBXur2JbkkyRe6++Ik/07yqWUnrcvmMuW1Sb6x9JYThWDiuNu8R+euJLd3991L71mbzaWDHya5auEpa3F5kms379X5WpK3VtVXlp20Ht39p82vh5Lck+RNyy5ahYNJDj7nVdo7cySgeNbVSR7s7r8uPeREIZg4rjZvbr4lyaPd/bml96xFVb26qs7efPzyJG9P8tiyq9ahu2/q7vO6+0COXEL4fnd/cOFZq1BVZ2xunsjmktM7k7zk78zt7r8k+UNVXbT51NuSvKRvLNnBB+Jy3POyb+kBJ6uquiPJlUleVVUHk3ymu29ZdtUqXJ7kuiS/2LxfJ0k+3d3fXnDTGpyb5NbNXSunJPl6d7t9nslrktxz5PuQ7Evy1e7+zrKTVuPjSW7fXHr6XZIPLbxnNarq9CTvSPLRpbecSPxYAQCAgUtyAAADwQQAMBBMAAADwQQAMBBMAAADwQQAMBBMAAADwQQAMPgfoFZzJZxaq48AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (linewidth)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax = fig.add_axes([d,d,1-2*d,1-2*d])\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y = 4+2*np.sin(2*X)\n",
    "ax.plot(X, Y, color=\"C1\", linewidth=1.5)\n",
    "ax.set_xlim(0, 8), ax.set_xticks(np.arange(1,8))\n",
    "ax.set_ylim(0, 8), ax.set_yticks(np.arange(1,8))\n",
    "ax.grid(linewidth=0.125)\n",
    "# plt.savefig(\"../figures/plot-linewidth.pdf\")\n",
    "plt.show()\n",
    "fig.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (marker)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax = fig.add_axes([d,d,1-2*d,1-2*d])\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y = 4+2*np.sin(2*X)\n",
    "ax.plot(X, Y, color=\"C1\", linewidth=0.75, marker=\"o\", markevery=5, markersize=4)\n",
    "ax.set_xlim(0, 8), ax.set_xticks(np.arange(1,8))\n",
    "ax.set_ylim(0, 8), ax.set_yticks(np.arange(1,8))\n",
    "ax.grid(linewidth=0.125)\n",
    "# plt.savefig(\"../figures/plot-marker.pdf\")\n",
    "plt.show()\n",
    "fig.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (multi)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax = fig.add_axes([d,d,1-2*d,1-2*d])\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y1 = 4+2*np.sin(2*X)\n",
    "Y2 = 4+2*np.cos(2*X)\n",
    "ax.plot(X, Y1, color=\"C1\", linewidth=0.75)\n",
    "ax.plot(X, Y2, color=\"C0\", linewidth=0.75)\n",
    "ax.set_xlim(0, 8), ax.set_xticks(np.arange(1,8))\n",
    "ax.set_ylim(0, 8), ax.set_yticks(np.arange(1,8))\n",
    "ax.grid(linewidth=0.125)\n",
    "# plt.savefig(\"../figures/plot-multi.pdf\")\n",
    "plt.show()\n",
    "fig.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (vsplit)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax1 = fig.add_axes([d, d, 1-2*d,.45-d])\n",
    "ax2 = fig.add_axes([d, .55-d, 1-2*d,.45-d])\n",
    "\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y1 = 2+1*np.sin(2*X)\n",
    "ax1.plot(X, Y1, color=\"C1\", linewidth=0.75)\n",
    "ax1.set_xlim(0, 8), ax1.set_xticks(np.arange(1,8)), ax1.set_xticklabels([])\n",
    "ax1.set_ylim(0, 4), ax1.set_yticks(np.arange(1,4)), ax1.set_yticklabels([])\n",
    "ax1.grid(linewidth=0.125)\n",
    "ax1.tick_params(axis=u'both', which=u'both',length=0)\n",
    "\n",
    "Y2 = 2+1*np.cos(2*X)\n",
    "ax2.plot(X, Y2, color=\"C0\", linewidth=0.75)\n",
    "ax2.set_xlim(0, 8), ax2.set_xticks(np.arange(1,8)), ax2.set_xticklabels([])\n",
    "ax2.set_ylim(0, 4), ax2.set_yticks(np.arange(1,4)), ax2.set_yticklabels([])\n",
    "ax2.grid(linewidth=0.125)\n",
    "ax2.tick_params(axis=u'both', which=u'both',length=0)\n",
    "# plt.savefig(\"../figures/plot-vsplit.pdf\")\n",
    "plt.show()\n",
    "fig.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (hsplit)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax1 = fig.add_axes([d, d, .45-d, 1-2*d])\n",
    "ax2 = fig.add_axes([.55-d, d, .45-d, 1-2*d])\n",
    "\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y1 = 2+1*np.sin(2*X)\n",
    "ax1.plot(Y1, X, color=\"C1\", linewidth=0.75)\n",
    "ax1.set_xlim(0, 4), ax1.set_xticks(np.arange(1,4)), ax1.set_xticklabels([])\n",
    "ax1.set_ylim(0, 8), ax1.set_yticks(np.arange(1,8)), ax1.set_yticklabels([])\n",
    "ax1.grid(linewidth=0.125)\n",
    "ax1.tick_params(axis=u'both', which=u'both',length=0)\n",
    "\n",
    "Y2 = 2+1*np.cos(2*X)\n",
    "ax2.plot(Y2, X, color=\"C0\", linewidth=0.75)\n",
    "ax2.set_xlim(0, 4), ax2.set_xticks(np.arange(1,4)), ax2.set_xticklabels([])\n",
    "ax2.set_ylim(0, 8), ax2.set_yticks(np.arange(1,8)), ax2.set_yticklabels([])\n",
    "ax2.grid(linewidth=0.125)\n",
    "ax2.tick_params(axis=u'both', which=u'both',length=0)\n",
    "# plt.savefig(\"../figures/plot-hsplit.pdf\")\n",
    "plt.show()\n",
    "fig.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (title)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax = fig.add_axes([d,d,1-2*d,.8-2*d])\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y = 3+2*np.sin(2*X)\n",
    "ax.plot(X, Y, color=\"C1\", linewidth=0.75)\n",
    "ax.set_xlim(0, 8), ax.set_xticks(np.arange(1,8))\n",
    "ax.set_ylim(0, 6), ax.set_yticks(np.arange(1,6))\n",
    "ax.grid(linewidth=0.125)\n",
    "ax.text(4, 6.75, \"A Sine wave\", transform=ax.transData, clip_on=False,\n",
    "        weight=\"bold\", size=24, ha=\"center\", va=\"center\")\n",
    "# plt.savefig(\"../figures/plot-title.pdf\")\n",
    "plt.show()\n",
    "fig.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,8))\n",
    "mpl.rcParams['axes.linewidth'] = 0.5\n",
    "mpl.rcParams['xtick.major.size'] = 0.0\n",
    "mpl.rcParams['ytick.major.size'] = 0.0\n",
    "d = 0.01\n",
    "\n",
    "# Basic line plot (xlabel)\n",
    "# -----------------------------------------------------------------------------\n",
    "ax = fig.add_axes([d,.2-d,1-2*d,.8-2*d])\n",
    "X = np.linspace(0, 10, 100)\n",
    "Y = 3+2*np.sin(2*X)\n",
    "ax.plot(X, Y, color=\"C1\", linewidth=0.75)\n",
    "ax.set_xlim(0, 8), ax.set_xticks(np.arange(1,8)), ax.set_xticklabels([])\n",
    "ax.set_ylim(0, 6), ax.set_yticks(np.arange(1,6)), ax.set_yticklabels([])\n",
    "ax.grid(linewidth=0.125)\n",
    "ax.text(4, -1, \"Time\", transform=ax.transData, clip_on=False,\n",
    "        size=24, ha=\"center\", va=\"center\")\n",
    "plt.show()\n",
    "#plt.savefig(\"../figures/plot-xlabel.pdf\")\n",
    "fig.clear()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}