{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplotlib tutorial\n",
    "\n",
    "Oliver W. Layton / Hannen Wolfe\n",
    "\n",
    "CS 251/2: Data Analysis and Visualization\n",
    "\n",
    "Fall 2026"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "# import matplotlib plotting library\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic plotting example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot log(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# make a line plot: generate x 50 values evenly spaced between +1 and +50\n",
    "x = np.linspace(1, 50)\n",
    "# Evaluate the log\n",
    "y = np.log(x)\n",
    "# plot it!\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Control the plot size\n",
    "\n",
    "Specify the size with plt.figure() before creating the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "x = np.linspace(1, 50)\n",
    "# Evaluate the log\n",
    "y = np.log(x)\n",
    "# plot it!\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot multiple log curves in same plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Q9aVA6X6gdJ92lAAhlSh72IId3r7akIUKD+YQMUbbadPLi+9hIifCYEE0gJ0/pRDVpqJNqsm+G8Yuv/ykZoT0REiImJU0C1mRWSxG1ZVBrwUGFSBMIUJab/tgyJbdieOABFOTcwkVvgF8rxK5AAYLoj56Jb4q+kod61q7d8WPih6FC4ZdgPOTz1eVLf1lG2rSJlTKMs6SvZ1NeiLam86+O17eWmBIHG8KEKZjWALvJJELY7AgMm3edazmGDYUbsCGgg2qh6Jrr0SYX5jqkZAwIY21JGSjkhZtDkTJns4QIZMqe6pKKfuSmMODahO0+RD+3K+EyN0wWJDHate3Y3vZdqwvWK/CRHFj9zoHUk/CHCRkzw1fGef35J4IWZFRvLuzySTLnlZlBEYASROBpEmm40RtUy1vH0dcORHZmQf/pCRPJEMaGws3qjAhky8b2xstHwvwCVATLuemzsXclLmID46Hx86JkOGMol2dIUKGM3rqiZD5EMldAoS0yHROqCTyYAwW5BEbea05vQar81erYlV6o77bduISJOalzMN5yed53uZdsjpDVwQU7gCKdmqteA/QJXBZBEYCyZOBYVO0ozTZWIurMoioCwYLcts9OFafXq3CxJ7yPd3mS0hdiYtSL8K81Hmq6qW3TCL0FC26zgBhbg1lZ7/OP1QbyhgmAcIUJKIyGCKIqF8MFuQ2TtWdUkHiy9NfqiWhXY2PHY9L0i7B/PT5SA9Ph0cwGICqPKBwG1CwDSjcrs2LOLNOhJePVhciZRowbKrWZLUG50QQ0RAwWJDL90x8duozfHbys27ls6UXQnYClSAhgSIxJBGe0RuxAyjYroUJGd5oqT37dZFpQMr0zhAhKzS4OoOIrITBglxyzsTnpz5XYWJPxZ5uG3rJ5EsJEzLUERPk5jtTyv4Z+Vu1VrBVW/ppNHR/jcwZkWGM1OlAygwtULBOBBE5U7AoKirCI488gk8//RRNTU3Izs7GihUrMG3aNNtcIRGA2pZaNcwhYUKWiMoeHeZNvaYlTsPlGZfj0vRLERUY5b4rNaRGhCVIfAPUFfTcG5E6UwsREiakdoSPnyOumIg81KCCRU1NDWbPno2LLrpIBYu4uDjk5uYiKspNf5iTw+tMbCzaiI/yPlLHji41E6SuxMKMhViQscA9l4Xq27WCU6e/Bk59rYWJM6p/qrkRUmwqbRaQNhNIPQ8IT3LUFRMRDT5YPPHEE0hNTVU9FGaZmZmD+RRE/VbAlImXHx7/EJ+e/BS1rZ1zBEZGjcTCzIWqdyIlLMW97mRHq7ZCwxwkZLLlmUs+ZaWGDGWYg8SwaUBAqKOumIjo3IPFRx99hMsuuww33HADNmzYgGHDhuGee+7BXXfd1eufaW1tVc1Mp9MN5kuShyhrLMN/T/5X9U4cr5MdLjWyM+iVw6/EoqxFKli4VSVLCRInNwKnvtKCxBnbrau6EemzgfTztSaTLH04LYqInNugfkqdOHECzz//PB566CH88pe/xPbt2/GTn/wE/v7+WLx4cY9/ZtmyZVi6dKm1rpfcbKhjbcFavJ/7PraWbLXMm5AKmBenXqzChOzP4RaltPUd2tDGyQ1akJChjTM35gqJ1wJExgXaMW404O1BNTaIyC14GaXveYAkQMgkzc2bN1uek2AhAWPLli0D7rGQ4ZS6ujqEh4ef6/WTC8rX5eO93PfwQd4HqG6ptjw/OX4yrsq6Ss2bCPd38feG/LOSyZYn1mu9Eqc3A626s8thZ84BMi8EMuYAMdksQEVETkt+f0dERPT7+3tQ/xVMSkrCmDFjuj03evRovPfee73+mYCAANXIs5l7J9459g6+Kfmm21DHtdnXqpYangqXVl+qBYnj64AT686uaCmbc2V0CRKyuyfLYRORmxlUsJAVIUePHu323LFjx5Ce7iGVDGlIvRPv5r6LD/M+tPROyBLR84edjxtG3IALUy+En7eLLodsa9R6IsxBQnoozqwhIUMaw+cCmXO1FRysZklEbm5QweLBBx/E+eefjz/84Q/4zne+g23btuEf//iHakRmMlfi66Kv8drh19QOomf2Tlw/8noMCx3mmsMblceA3C+A3C+B/C1n7Pjppe3umXURMPwirZ6EX6ADL5iIyMnnWIhPPvkES5YsUfUrZKmpTOTsa1XIUMdoyPU0tTfho+MfqUBxSnfKPXonWhu0CZcSJPLWAHX53T8ekdoZJKRXIsTNq30SkcfSDfD396CDhb0ujFxHUUMR3jj8hlrdUd9er54L8QtRvRM3j7rZ9eZOVOYCxz7ruVfCJwDImA1kXwqMuJQTLonIY+hsMXmTyEzy6M6ynap3QiZlmpeKpoWl4ebRN+Oa7GtUuHCZpaCy18bRT7VW3VlHQ5Htws1BQpaC+rvI34uIyAEYLGhQJECszV+Ll/a/1G1rctn863ujv4c5KXPUzqJOr6UOyFsNHJWeiS+67wIqwzUSIEZepgWKmCyu3iAiGiAGCxqQdkO7KrH9z/3/xMm6k5ZCVlLE6pZRtyA7Ktv572RdEXDkv8CRT7TS2V32HkFQNDBiAZCzEMi6GAjkMB0R0VAwWFCfWjpasCpvFVYeWInixmL1XJhfGG4afRNuGX0LogOjnfsOVp8ADn8MHPoIKNrR/WMxI7QgIU12A2W5bCKic8ZgQT1qaGvAW0ffwr8O/ctSf0JCxK1jbsWNOTciVDbEckYyF7niiBYkJFCU7e/+cVkCOupKIOdbQKwL9LIQEbkYBgvqRtemw78O/guvH37dssIjOSQZt427Ta3yCPQNdN7y2Qfe0wJFVW73rcVlvsToRVqg4LbiREQ2xWBBSnNHswoTrxx4RYULkRmRie+P/77aqtwp609UHdfChDTppTDz8dfqSoy5Chi5kLUliIjsiMHCw8keHlJ/4sV9L6KiuUI9lxWRhXsm3YP56fOdb4VHbQFwcJUWJkr2dA8TMvly7LXakZMviYgcgsHCQ+kNevzv5P/w9z1/R2FDoXpOymxLoLgi8wr4ONOeFo1VwMH3gf3vavUmug5zDJ8HjLseGHUFEBTpyKskIiIGC88sbLWuYB3+tvtvyKvNU8/FBMbg7ol349sjvg0/HycZ8uho0+pL7H0DOPY5YGg3fcBL29hLwsSYq4GQWAdfKBERdcUeCw+yr2Ifntj+hDqKMP8w3DHuDlV2O9gv2DkmYRbv1sKE9E40a6tRlMQJwIQbtaGOCBfcwIyIyEMwWHiAyuZKPL3zaXx4/EP1OMg3SFXJXDx2MSICIhx9eYCuGNj3thYouk7CDE0AJnwHmHgTkDDWkVdIREQDxGDh5tUyZaXHC3tfQEN7g3ru6qyr8cDUB9QW5g7fnyPvS2DHCu1o2msEspxV5ktMvFmbP8GiVURELoXBwk1tLt6MJ7Y9gRN1J9TjcTHjsGTmEkyIm+D4VR27/w3s+jdQr1XyVNJmARO/qw11BDpBLwoREQ0Jg4UbbmH+5PYnsSZ/jaVa5v1T7le7jTps6aj0TshEzJ0ru/dOBMcAk24GptzGKphERG6CwcKN9vR4+cDLWHFgBVr1rfDx8sFNo27Cjyb9COH+4Y7b9GvXq2f3TmTMAabeplXD9A1wzLUREZFNMFi4gb0Ve/GrTb/CKd0p9XhG4gz8YsYvMCJqhGNWdhRuB7Y+Dxz6EDDqtefZO0FE5BEYLFy8l+K5Pc+pjcIMRoOakCmBYkH6Anh5edm/7oQEia1/B4p3dT6fPhuYdgd7J4iIPASDhZv0UiwavgiPzHjE/stHGyu1lR3b/wk0lHaW1x5/AzDzh0CSgyeLEhGRXTFYuEEvxWOzHsO81Hn2vZCyQ8DW54B97wD61s66E9O/D0y9HQiNs+/1EBGRU2CwcCFO0UtRsB3Y9BRw9H+dzyVPBmb+SFsq6utvv2shIiKnw2DhAhzeSyETMk+s1wLFyY2mJ720eROz7gVSZwL2ntNBREROicHCyeXr8vHg+gdxrOaY/XspDAatZ+KrP3dOyPT2BSZ8F7jgASDWAatOiIjIqTFYOLE1p9fgV1//SpXjlkJXS89fap9eCilodeA9rYfCvHeHbxAw5Vbg/B8Dkam2vwYiInJJDBZOqMPQgWd2PYOVB1eqx5PjJ+PJC59EQkiCbb+wQa/tKrr+D0CNNo8DAeHAjLu0ORSckElERP1gsHAyFU0VeHjDw9hVrg093DrmVrVpmJ+3n23nUMiQx9rfAeWHtOeCY4FZ92irPLh3BxERDRCDhRPZXrodP9vwM1S1VCHELwS/nf1bXJp+qW2/qEzGXPMbrVqmkBAx+36tBoV/iG2/NhERuR0GCydgNBrxyoFX8Nfdf1WrPrIjs/GXeX9BRkSG7b5o0U4tUMhqD+EXrIWJ2T8BgqJs93WJiMitMVg4mK5Np2pTrCtYZ1n18avzfoVg+UVvC+VHgLW/BY58oj2WIZZptwNzHgbCbDyHg4iI3B6DhQMVNxTj7i/vVgWvZA7FkplL8O0R37bNPh9N1cC63wM7XtG2LZct1GXZ6LxHgCgb9owQEZFHYbBwkNyaXPzwyx+ivLkciSGJeHre0xgbO9Y2Kz1k6/I1vwWaq7XnRl0JXPxrIH6U9b8eERF5NAYLB9hVtgv3rb0P9W31aj7F8/OfV+HC6vK3Av/7GVC6T3scPwZY+ASQeaH1vxYRERGDhf2tL1ivlpO26lsxKW4Snr3kWetX0dSVAF8+Cux/u3Olx0X/D5h2J+DDLElERLbD3zJ2tCp3FZZuWQq9UY+5KXPx5NwnESQVLa2loxXY+ndgw5NAe6O2n8eU/wMueQwIibXe1yEiIuoFg4Udl5M+vetp9fiqrKvw+PmPW7foldSj+ORBoCpPe5wyHVj4R2DYFOt9DSIion54YxAef/xxtWKhaxs1ihMA+yJ1KZ7c8aQlVNw+7nb8bvbvrBcqWhuA//4UeHWRFipC4oFrngfu+IKhgoiInL/HYuzYsVi9enXnJ/Blp0dv2vXt+PXmX+O/J/6rHj887WEsHrsYVu2l+PA+oPa09njq7cClS1mCm4iIHGbQqUCCRGKiDVYwuJk2fRvuX3c/NhVtgq+XL34z+zdYlLXIer0Uqx8Dtv9TexyRClz1NyDrIut8fiIiInsFi9zcXCQnJyMwMBCzZs3CsmXLkJaW1uvrW1tbVTPT6XTwhOEPqaYpoSLQJxBPzXsKc1Lm2K6XYsFvgYAw63x+IiIie82xmDlzJlauXInPPvsMzz//PE6ePIk5c+agvr6+1z8jwSMiIsLSUlNT4e4TNZ/c/iQ+PfWp6ql45uJnrBMqus6lkFAhvRT/9wGw6GmGCiIichpeRvlNOES1tbVIT0/HU089hTvvvHPAPRYSLurq6hAeHg53s/LASvx555/V+bI5y3Dl8CvP/ZOe3gKsupu9FERE5DDy+1s6CPr7/X1OMy8jIyMxcuRI5OWZljj2ICAgQDVP8PHxjy2hQiZqnnOokMy3+W/A6scBo55zKYiIyL2GQs7U0NCA48ePIykpCZ5uc9FmPPr1o+r81jG3nvvqj5Y64K3vAV/+WgsV428A7tnCCZpEROTUBtVj8fDDD2PRokVq+KO4uBiPPfYYfHx8cNNNN8GTHaw6iAfWP4AOYwcWZi7ET6f99Nw+Yel+4O1bgeoTgI8/cPkyrRy3LXY9JSIiclSwKCwsVCGiqqoKcXFxuOCCC7B161Z17qkKdAW4Z/U9aO5oxnlJ5+H3s38Pb9mSfKh2vwb89yGgo0Ub+vjOq8Cwqda8ZCIiIucIFm+++abtrsQFVTVX4e7Vd6O6pRqjokfhL/P+Aj+fIVbUbG8BPv0ZsOtf2uPs+cB1LwHB0Va9ZiIiIlti2cwhampvwj1r7kFBfQGGhQ5TW5+H+ocO7ZNVn9SGPtT25l7ARb8E5jwMeJ/TFBgiIiK7Y7AYgnZDOx5a/xAOVR1CVEAUXpj/AmKDhrh76LEvgPe/r03WDIoGvv0ykHXx0D4XERGRgzFYDMGLe1/E18Vfqy3Pn7vkOWREZAzt7u98FfjkAcBo0HYjvWElEJEytM9FRETkBBgsBmlvxV68tP8ldf6b83+D8XHjh1af4qs/A2t/qz2e9D3gyr8Avv6D/1xEREROhMFikPMqlny1RO0FIsWvLs+8fPB33GAAPl8CfPOC9viCh4BLHuVSUiIicgsMFoPw5I4n1WTNxJBELJm5ZPB3u6MN+OCHwIH3tMeXLwfO+9HgPw8REZGTYrAYoA0FG/DusXfVudSqCPcPH/wmYm//H3B8LeDtC1zzAjDhhkF/w4iIiJwZg8UASJ2KRzd3luuekTRjcHe5sRJ47QageBfgFwLc+C+tTgUREZGbYbDoh2z++vjmx1W4yI7Mxk+m/GRwd7jmNPCf64CqPG056S3vAimspElERO6JwaIfH+R9gHUF6+Dr7Yvlc5YjwGcQO7WWHQT+cz1QX6KV5/7e+0DcyHP8lhERETkvBos+yETN5duWq/MfT/4xcqJzBn5nyw8DK74FtNQCcaOB770HRAw7528YERGRM2Ow6IXeoMf/2/T/0NTRhCnxU7B4zCC2Qa8r0noqJFTIBmIy/ME9P4iIyANwM4perDi4ArvLdyPELwR/mPMH+Hj7DOyONtdooUJXBMSOZKggIiKPwmDRg8NVh/Hc7ufU+ZIZS9QmYwPS3gy8cTNQcRgIS9KGP9hTQUREHoTB4gwtHS2qumaHsQPz0+bjqqyrBnYnDXrgve8D+ZuBgHAtVESm2eBbRkRE5LwYLM6w4sAKHK87jpjAGDw661F4eXkNbO+P//0MOPIJ4OMPfPd1IGGsjb5lREREzovBoov6tnr8+9C/1fkvZvwCUYFRA7uLX/0J2PEyAC/gun8AmXNs8s0iIiJydgwWXbx2+DXUt9cjKyILCzIWDOwO7vo3sPZ32vnCJ4Cx19ri+0REROQSGCxMGtoaLL0Vd0+8G95eA7g1Rz8DPr6/c5fSmXfb7jtFRETkAhgsTN448gZ0bTpkRmRiQfoAeisKtgPv3AYY9cDEm7Wtz4mIiDwcg4XsEdbeiFcPvapuyA8m/KD/mhWy/8fr3wE6moHsS4Gr/goMZJInERGRm2OwAPDmkTdR11qHjPAMLMxY2P+y0lU/BJqrgeTJwA0rAR8/O327iIiInJvHB4um9ia8elDrrbhrwl3991Zs/ptWq8I/VAsVAaH2+U4RERG5AI8PFm8ffRs1rTVIDUvFtzK/1ffdKtnXfQVIVIZdvklERESuwqODRXNHs9oTRNw1/i61NXqv2luA938AGNqBUVcCk26x34USERG5CI8OFu8cfQfVLdVqL5Ars67s+8Vrf6vtARISDyx6hpM1iYiIeuDtyXuCdO2t8PPuYwLmiQ3Alme186ufBUJi7XSVRERErsVjg8V7ue+hsrkSSSFJfW801lwLfPAj7Xzq7cDIy+x2jURERK7GI4NFq74Vr+x/RZ1/f/z34dfXclHZXExXBEQPBxaYJm4SERFRjzwyWKzKXYXy5nIkBCfgmuxren/hgfeA/W8DUt772n9waSkREVE/PC5YtOnb8M/9/1Tnd46/E/6yzXlPdMXAJw9p53MeBlKn2/EqiYiIXJPHBYsP8j5AWVMZ4oPicd2I63p+kcEAfHAP0FKrVdec+3N7XyYREZFL8qhg0a5vt/RW3DH+DgT4BPT8wu0vASfWAb5BwHUvsWQ3ERHRAHlUsPjo+EcoaSxBbFAsrh9xfc8vqjgGfGnaqXTBb4HYEXa9RiIiIlfmUcHi/dz31fG2sbch0Dew5xetWQp0tABZFwPTv2/fCyQiIvLkYLF8+XJ4eXnhgQcegLOTCpv7K/er88szLu/5RaX7gSOfAPACLl/O6ppERET2Chbbt2/Hiy++iAkTJsAVfF30NYwwIicqBwkhCT2/aMMfteO464C4HLteHxERkccGi4aGBtxyyy146aWXEBUVBVfwVdFX6jgnZU7PLyg7BBz+SOutuPBn9r04IiIiTw4W9957L6644grMnz+/39e2trZCp9N1a/amN+hVj4WYM6yXYLHR1Fsx5mogfrQdr46IiMh99LFPeM/efPNN7Nq1Sw2FDMSyZcuwdOlSOJLMrdC16RDmH4YJcT0M3ZQfAQ5+oJ2zt4KIiMg+PRYFBQW4//778dprryEwsJdVFWdYsmQJ6urqLE0+h71tLNyojrOTZ8PXu4cstfFJAEZg1JVA4ji7Xx8REZFH9ljs3LkT5eXlmDJliuU5vV6PjRs34tlnn1XDHj4+Pt3+TEBAgGqOtKloU+/zK6RuhewJIuY+YucrIyIiOncNrR0o17WgTNeK8voWXDUxWa3adPpgcckll2D/fm3Jptntt9+OUaNG4ZFHHjkrVDiD8qZyHK4+bOmxOMtXf9J6K3K+BSS5xgoXIiLyDC3tepSZAoN2bEF5fZdz0/ONbfpuf+7CEXGICullLyxnChZhYWEYN677UEFISAhiYmLOet5ZmCdtjosZh5igmO4frDoO7H9HO+d+IEREZCd6gxGVDa0orWtBqSkknBkg5LyuuX3AnzM0wBfx4QFICAtES0f3oOHUkzddTZ/LTDf+CTAagBGXaZuNERERnaOmtg5LYLAEB/NjCQ51LahoaFXhYiAC/byRGB6I+PBAJEgLC1BHFSLkGBagPibBwhmc81WsX78ezqrd0I4txVt6XmZafQLY95Z2zrkVRETUD6PRCF1zB0p0zSiRoFDXoo4SFEpM4aGkrhm6lo4B3UtvLyA+TMKCFhASI0zBQbUAS5gID/R12HyJoXCOeGMje8r3oKG9AdGB0RgbO7b7B796CjDqgez5QMpUR10iERE5SWiQYYfiWi0cFKvg0BkgzCGiuX1gQwwh/j4qKJjDgoSEM89jQwPgI+nCzfh6wjCITNr09uqysrbmNLD3De2cvRVERG6vvqVdBYPiWi0slNRq4UFCREnt4EJDVLAfEiOCkGQKDknSwyDHiM7QEBboB0/l3sGisJf5FZueAgwdwPCLgNQZjrk4IiKyirYOg5rsWCRhwdzM4aG2BcV1zagf4PBETIi/FhZMwSEp0hwYOoNEoJ/zrYB0Jm4bLEoaSpBXm6d6Ks5PPr/zA7UFwO7XtHP2VhARucS8hsLaJi0kmIJDYZcQIcsvjQOYBylzFZIjtYAgR2nSwyDhITkiiKHBSnzdfRhkYtxERAREdH5g018AQzuQeSGQPstxF0hERDAYjGqFRGFNs+pxKFLHJnWUICHPSfGn/vj7emNY19BgOiaZzuXoLKsm3J2v2y8z7boapK4I2P1v7Zy9FURENidLKmWZpQSFwhotMJhDhDyW8NCmNwxoiEKCgoQHrbchsMt5kPq4txtOhHRFbhks2vRt+Kbkm7PnV2x5FtC3AekXABkXOO4CiYjcqMdBhiIKappUUCisbjadawFChio6+qnXICsjZEhCgsKwqCDL0RwkpAX5c16Dq3DLYLGjbAeaO5oRFxSHnKgc7UkZgDv0oXZ+/n0OvT4iIlea41Db1K7CQn51EwpMwaGgWgsP0gPRX4+Dn4+XJSSkqOAQrB2jtMcSKnx9BrUnJjkxX3dfDWIpKlJ+CNAVAb5BwPB5jr1AIiIn0tqhVyFBCw5NyK/SQoQ0eb6/OQ7S4yBDEymmwJAa3f0oRaDcsV4DeVCwsOxm2nV+Re4X2lEmbfoFOejKiIgc0+tQ09SO01WNKiyc7hIcJEjIHIj+VlVI2WgJCqlRQUiTwKDOg5EazR4HcvNgka/LxyndKfh6+eK8pPM6P5D7pXYccanDro2IyJZzHaSs9OnKRpy2hIdG7VjVhPp+eh2kUqQEhzRzi5HQoIUH6XVg7Qby2GBhXg0yJWEKQv1DtSeba4H8rdo5gwURuagOvUGtojhVJYGhEaeqmixH6X2QQlF9kbkMEhgkOKSbwoM5SESH+LvUfhTkvNw2WFwwrMuqjxPrtH1BYnOAqAzHXRwR0QCWZ8pKipOVEhgataM614Yt+lphIZMkU6KCkR5jDg4h6phu6n1grwPZg1sFC1kJsr1kew/zKzgMQkTONedBlmieqNCCw8nKBtOxUa266GuVRYCvtxYcYkKQYTrK44yYEFUciqsryNHcKlhsL92ONkMbkkKSkBWZpT1pMDBYEJHDNr6SsCAB4kRllxBR0YjGtt43vPL38VbDFBIWMmODkREbgkwJErEhajiDhaDImblVsNhYuNHSW2EZKyzdCzSWAzLfIo0lvInINkMXeRUNWoCoaMBx07n0SvRGVl/K8ESmhIbYEAyP1YKDhAmp+cDlmeSqfN2pa9GyzDSlh2EQqV3hG+CgqyMiV9fcpleBQbVyOTZqAaKysc9Jk7GhARgepwUHOWbGhqogIRMmZX8LInfjNsHiZN1JFDUUwc/bDzMSZ5xdv4KrQYhoAGoa25Bb3oA8U5PwIEfZ26KvoYuM2GBkxYWq8KAdtfPwQD/ed/Iovu62GmR64nQE+wVrTzZWAYU7tPNs1q8gos4ezsoGCRD1KjTkljVYzuX53kQF+yE7PlQFB/NRmpSm5tAFkbsFC3MZ766rQY6vkR8hQMI4IGKY4y6OiBymsqEVx8rqcay0HsdUiKhXPRKy/0VvZE8LCQ5dQ4Q0qfVARB4QLJram7CzfGcP8ys4DELkKeqa2nG0rF41CQ8qTJQ1oLqx5x4Imd8tNR6y48NUaBghLUELEiEBbvGjkcgh3OJfjwx9/O/a/6ldTdPD07UnDXogb7V2PmKBQ6+PiKy7YZYMWRwtrVftiPRElNWjpK6l1wAhEyVHxIdhZEIochK1ICEBggWjiKzPLYKFSApNwqLQRZ1PFO0EmmuAgAggpctkTiJymXkQxXUtOFysw5FSHQ5LiCjRqQqUssSzJ8kRgSo4jEwIw4iEMOQkaCEiyN/H7tdP5KncJlicxTwMkn0x4OO+f00id1nKKUMYEhwOl3SGCF1LzxtnRQT5qQAhwUGOoyRMJIZxBQaRE3Df37iW+RUcBiFytsmUh4p1OFisw6ESHQ4V16mKlD11Qvh6e6keBwkOo5LCtWNiOBLCA7hhFpGTcs9gUV8KlOzVzrPnO/pqiDx2KEN23DxQJAGiTgsSxbpeq1HGhPhjdFI4Ridp4UHOs+JDEODLYQwiV+KewcI8aTN5MhAa7+irIXJ7MudB9sCQEHGgqA4HirUgUd/DUIZMppTKk2OSwjEmOVw7JoUjPjzQIddORNblnsGCwyBENtOhN6hy1vsKa00hQuuJaG4/e1MtKVk9OjEMY5IjLCFChjO4nJPIfblfsNC3A8fXaeecX0F0TgzSE1HViP2FddhbWKuOB3sJEcH+Pio4jBsWgbHJ4RifEqGWdPr5cD8MIk/ifsGi4BugVQcEx2hDIUQ0qOWdewtqtaZ6JHRoaD17OCPE30cFiPHSUiRIRKjhDZa1JiJf911mOh/w5qQvot7UNbdbeiJ252tBoqKHiZWBft4qOEiImJAiLVLt1Okt+34TEbl/sDBtk85hEKJu8yKkToQEiF35NapHQuZJnEl6HGQOxKTUSEuIkFLXvhzOICKPDBa1BUD5IcDLG8i62NFXQ+QwVQ2tKkTsLqjBrtNab0RT29nzIqTU9cTUSExMicDktEjVM8Ey10R0LtwrWOSZeitSpgPB0Y6+GiK7TbCU3Tq3n6rGrtM1qkdCyl6fKSzAF5PSIjE5NRKT06JUj0RMaAC/S0TkuGDx/PPPq3bq1Cn1eOzYsXj00UexcOFCONcwyKWOvhIim2lp16uhjB2na7DjVDV2nq7psfS1VKycIkEiLQpT0qLUY06uJCKnChYpKSlYvnw5RowYoWaQv/rqq7j66quxe/duFTIcqqMVOLFeO+f8CnIjNY1tqjdCmoQJqR3RrjeetdRThjKmSohIj8Lk1ChEBPs57JqJyHMNKlgsWtRl91AAv//971UPxtatWx0fLE5/DbQ3AaGJQOIEx14L0Tkor2/B9pM1+OZkFbadrFbbgp8pPiwA0zOiMTU9Sh2lDDYnWBKRS8+x0Ov1eOedd9DY2IhZs2bBeYZB5ms1g4lcREldM7ae0ELENyercaKH1RpZcSGYkRmD6RlakEiJCuImXETkHsFi//79Kki0tLQgNDQUq1atwpgxY3p9fWtrq2pmOp0ONsFlpuQipFbElhNV2HJcWuVZEy0lF8smXDMzo1WbnhmNWE6yJCJ3DRY5OTnYs2cP6urq8O6772Lx4sXYsGFDr+Fi2bJlWLp0KWyqrREITwJ0RcDwebb9WkSDVNvUpnokJEhsPl6lVnB0JXWmpPjUzOExmJERrXokOD+CiFyVl1FmYZ6D+fPnIysrCy+++OKAeyxSU1NVMAkPD4dVtTcDfkHW/ZxEQ1i1seNUDb7KrcCmvEocKtGh678y6ZEYnRiO87NiMCsrRvVIhAdyoiUROTf5/R0REdHv7+9zrmNhMBi6BYczBQQEqGYXDBXkoDoSh0t12JRbqYKEzJVo7TB0e41Ur5QQIWFiZmYMokL8+b0iIrc0qGCxZMkSVbMiLS0N9fX1eP3117F+/Xp8/vnntrtCIidUpmvBxmMV+Cq3El/nVaKqsa3bxxPCA3BBdhzmjIjF+dkxiA8LdNi1EhE5bbAoLy/HrbfeipKSEtUdMmHCBBUqLr2UBanI/ffa2JVfi3VHy7H+aAUOl+jOqiNx3vAYXJAdq8KEFKPy4uokIvJAgwoWL7/8su2uhMgJeyU2HK3A+mPlqmeivkt1S8kME4ZFYM4IrVdCqlv6+3o79HqJiJyBe+0VQnSOcyVks67Vh8uw9sjZvRJRwX64cGQc5uXE4cIRcdxng4ioBwwW5NGa2jrUpMs1h8ux5kg5Khtau/dKpERinilMyDn32iAi6huDBXnkEIcECemZkImXXVdwhAb4Ym5OHC4ZFY+5I9krQUQ0WAwW5BFOVTbi0wOl+OxgqdoZtCspjz1/dIJqMzKjOVeCiOgcMFiQW5K6b0fL6vGZhIkDpd028pIhjkmpkSpIXDI6HjkJYVzBQURkJQwW5FZhYm9hnQoSnx8sxcnKzs28fL29VIGqy8cl4tIxCawrQURkIwwW5PJh4mCxDh/vLcYn+0pQVNts+Zgs/5TVGxIm5o+OR2Qwq10SEdkagwW5pLzyeny0twSf7C3GiS49E1Ko6qJR8bh8bKI6ymRMIiKyH/7UJZeRX9WEj/cVq96JrnMmAny91VyJqyYmY15OPAL9fBx6nUREnozBgpxaTWObChPv7yrCni6rOfx8vNQwx6KJyZg/JoE9E0REToLBgpxOu96AdUfKVZhYc6QM7Xptz3FvL6gJmIsmJKt5E5wzQUTkfBgsyKkmYb67sxAf7S1GdZfdQsckheP6qSlYNDGJqzmIiJwcgwU5VEV9K97fVYj3dhXiWFmD5fnY0ABcOzkZ101JweikcIdeIxERDRyDBTlks6/Nx6vwxrZ8fHGo1DLUIctDpcbEt6ekqB1DfX24WygRkathsCC79k68s7MAb24rQH51k+X5iamRuHFaKq6YkISIID9+R4iIXBiDBdm8d+Lr45Va78TBMnQYtN6JsABfXDN5GG6akYYxyRzqICJyFwwWZBN1Te14a0c+/rM1v1vvhOzRcfPMNFw5IQnB/nz7ERG5G/5kJ6vKK2/Ays0n8d7OIjS369Vz7J0gIvIcDBZkleGOjbkVWPH1KWw4VmF5XnYNvX12Bq6alMzeCSIiD8FgQUPW2Nqhloqu2HwKJyoaLVuSXzIqAXfMzlDFrLzkCSIi8hgMFjSk1R0vbzqJ1785DV1Lh3pONvu6YVoKbjs/A+kxIbyrREQeisGCBqygugn/2HgCb+8oQGuHQT2XHhOswsS3p6YgLJBLRYmIPB2DBfUrt6wez284jg/3FENvWi4qqzvumZeF+aMT4C2beBARETFYUF/2FtTi7+vz8PnBMstzF2TH4p6LsjBrOOdPEBHR2dhjQWfZeqIKz63Lw1e5lZbnLhubgHvmZasqmURERL1hsCCLfYW1ePLzo5ZA4ePthasnJeNHc7MwIiGMd4qIiPrFYEHIK6/Hnz4/hs8Olqq74efjhe9MS8UP52YhNTqYd4iIiAaMwcKDFdY04enVuaoWhczJlJIT104ehgfnj2SgICKiIWGw8NA6FDKH4rVvTlu2LF8wJgEPX5aDkRzyICKic8Bg4WGVMl/YcFwVt2pq0/bxmJ0dg59dNkotHyUiIjpXDBYewGg0qhoUyz49jDJdq3pOVnf8/LIczM6OdfTlERGRG2GwcHMHiurw+EcHseN0jaVS5pKFo9XyUe7jQURE1sZg4aaqG9vwpy+O4o1t+TAagSA/H9x3cTbuvCATgX4+jr48IiJyUwwWbqZDb8Dr2/Lx5y+Ooa65XT23aGIyfvmtUUiKCHL05RERkZtjsHCzipky7HGktF49HpUYhsevGovzhsc4+tKIiMhDeA/mxcuWLcP06dMRFhaG+Ph4XHPNNTh69Kjtro4GRNfSjp+/uxff/cdWFSoigvzwm6vH4pMfX8BQQUREzttjsWHDBtx7770qXHR0dOCXv/wlFixYgEOHDiEkJMR2V0m9Wn+0HEve34+Suhb1+KYZafjZZTmIDvHnXSMiIrvzMspaxCGqqKhQPRcSOC688MIB/RmdToeIiAjU1dUhPDx8qF/a40kvxe8+OYS3dxRaVnv88foJmMlhDyIisoGB/v4+pzkW8slFdHT0uXwaOsdeitvOz8DPL89BsD+nzBARkWMN+TeRwWDAAw88gNmzZ2PcuHG9vq61tVW1romHhoa9FERE5LbBQuZaHDhwAJs2bep3wufSpUuH+mXIhL0URETktnMs7rvvPnz44YfYuHEjMjMz+3xtTz0WqampnGMxQK0devzuk8P499bT6jHnUhARkdvMsZAM8uMf/xirVq3C+vXr+w0VIiAgQDUa2rbm9762C3sLtbksnEtBRETOznewwx+vv/666q2QWhalpaXqeUkwQUGs6mhN646W48G39qC2qR2RwX74y42TcFFOvFW/BhERkUOHQnrbtGrFihW47bbbBvQ5uNy0b3qDEc+sPoa/rctTe3xMSInA32+ZgpSo4IF+m4iIiFxnKIRsp6qhFQ+8tQdf5Vaqx987Lw2/vnIMAny5aRgREbkGFj5wErvya9R8CqlNITuR/uG6cbh2coqjL4uIiGhQGCwcTHqBXt18Cr//32G0640YHheC52+ZipzEMEdfGhER0aAxWDhQW4cBj7y3D6t2F6nHV4xPwhPfnoDQAH5biIjINfE3mIM0tHbgR//ZqeZT+Hp7Ycm3RuOO2Rm9TpAlIiJyBQwWDpqkefvK7dhXWIdgfx+88L2puHBknCMuhYiIyKoYLOysoLoJi1/ZhhOVjYgK9sOK22dgUmqkvS+DiIjIJhgs7OhIqQ63vrwN5fWtGBYZhH/dOQNZcaH2vAQiIiKbYrCwk+2nqnHnyu3QtXQgJyEMr94xA4kRgfb68kRERHbBYGEHXx4qw32v70JrhwHT0qPw8uLpiAj2s8eXJiIisisGCxt7e3sBfvH+PhiMwCWj4vHszVMQ5M9KmkRE5J4YLGzo+fXH8cRnR9T5t6emYPl14+Hr423LL0lERORQDBY2svLrk5ZQ8cO5WXjk8hzWqCAiIrfHYGED/91XgqWfHFLnD84fifvnj7DFlyEiInI67Je3si3Hq/DgW3vUlueyO+lPLsm29pcgIiJyWgwWVnS4RIcf/GsH2vQGXD42EUuvGsfhDyIi8igMFlZSWNOE21ZsQ31rB2ZkROPp706Cjzf3/SAiIs/CYGEFNY1tqkx3ma4VIxNC8dKt0xDoxyWlRETkeRgszlFzmx53vrodxysakRQRqCpqsvgVERF5KgaLc9ChN+DHb+zCrvxahAf6qlCRFBFkve8OERGRi2GwGCKj0Yhff3gAqw+XI8DXGy/fNh0jE8Ks+90hIiJyMQwWQ/T06ly8sa0AMj/zrzdNxvSMaOt+Z4iIiFwQg8UQfLq/BM+syVXnv7l6HC4bm2jt7wsREZFLYrAYpHJdC5as2q/O775wOL53Xrotvi9EREQuicFikPMqfvbuPtQ2tWPcsHD8dEGO7b4zRERELojBYhD+s/U0NhyrUJM1//KdSfD35e0jIiLqir8ZB+h4RQN+/7/D6vwXC0dhBFeAEBERnYXBYgDa9QY89NYetLQbcEF2LBbPyhjIHyMiIvI4DBYD8OzaPOwtrFNFsJ68YQK8uQcIERFRjxgs+rE7vwbPrstT57+/djwraxIREfWBwaIPTW0dePCtPdAbjLh6UjIWTUzu6+VEREQej8GiD7//72GcqmpSm4v95qpxHv9mISIi6g+DRS/WHinDa9/kq/M/3TCRO5YSERENAINFD6oaWvHzd7XqmnfMzsTs7NiB3EsiIiKPx2DRQ3XNJe/vR2VDK0bEh+Lnl7O6JhER0UAxWJzho73F+OJQGfx8vPCXGych0M9nwDeTiIjI0w06WGzcuBGLFi1CcnIyvLy88MEHH8BddOgNajt0cd9FIzBuWISjL4mIiMi9g0VjYyMmTpyI5557Du7mk30lOFnZiKhgP3x/TqajL4eIiMjl+A72DyxcuFA1dyO1Kv66Vuut+P6c4QgJGPStISIi8nicY2Hy3/0lOFHRiIggP9w6K93j3xhERERDYfP/lre2tqpmptPp4GwMBiP+tsbUW3FBJsIC/Rx9SURERC7J5j0Wy5YtQ0REhKWlpqbC2Xx6oBS55Q0IC/TF4tncuZSIiMhpg8WSJUtQV1dnaQUFBXC23oq/mnorpBhWOHsriIiInHcoJCAgQDVn9cWhUhwtq0dYgK8KFkRERGTHYNHQ0IC8PG0bcXHy5Ens2bMH0dHRSEtLgyuR3opn1mh/l9tmZ3A/ECIiInsHix07duCiiy6yPH7ooYfUcfHixVi5ciVcyerDZThcokOIvw/uvIC9FURERHYPFvPmzVP7abg6+TuY61YsPj8DkcH+jr4kIiIil+exdSzWHinHgSIdgv19VEEsIiIiOnceGSxUb4VpJcj/zUpHdAh7K4iIiKzBI4PF+mMV2FtYhyA/H9zF3goiIiKr8fbE3opnTDuYfu+8NMSGOu9SWCIiIlfjccHiq9xK7CmoRYCvN+66kHMriIiIrMnb43orTHMrbpmZjviwQEdfEhERkVvxqGCx+XgVdp6ugb+vN+6ey94KIiIia/OoYLHi65PqePOMNCSEs7eCiIjI2jwmWLS067Epr1Kd3zjd+XZYJSIicgceEyy2nqhCS7sBSRGBGJUY5ujLISIickseEyzWH61Qx3k58fDy8nL05RAREbklb09ZDSIlvMVFOXGOvhwiIiK35RHB4mRlI/Krm+Dn44Xzs2MdfTlERERuyyOCxTrTMMiMzGiEBgx6Q1ciIiIaII8IFuuPmodB4h19KURERG7N7YNFY2sHvjlRbZm4SURERLbj7QnVNtv0BqRGByErLsTRl0NEROTW3D5YrOsyDMJlpkRERLbl7e7LTNdblplyGISIiMjW3DpYHCtrQHFdi9oi/bzhMY6+HCIiIrfn7QnDILOyYhDk7+PoyyEiInJ77h0sOAxCRERkV24bLHQt7dhxukadc34FERGRfbhtsNiUWwm9wYjhcSFIiwl29OUQERF5BLcNFhwGISIisj+3DBYGgxHrj2n7g3AYhIiIyH7cMlgcKtGhor4Vwf4+mJ4Z5ejLISIi8hje7jwMMjs7FgG+XGZKRERkL+4ZLLibKRERkUO4XbCobmzD7oJadT4vJ87Rl0NERORR3C5YfJVbAaMRGJUYhuTIIEdfDhERkUfxdtf5FfO46RgREZHduVWwkIJYGyzLTDkMQkREZG9uFSz2FtaipqkdYYG+mJLOZaZERET25lbBYr1pGOTCEXHw83GrvxoREZFLGNJv3+eeew4ZGRkIDAzEzJkzsW3bNjiDdUe1YRCuBiEiInKRYPHWW2/hoYcewmOPPYZdu3Zh4sSJuOyyy1BervUWOEp5fQv2F9Wp87mcX0FEROQaweKpp57CXXfdhdtvvx1jxozBCy+8gODgYLzyyitwpA2m3orxwyIQHxbo0GshIiLyVIMKFm1tbdi5cyfmz5/f+Qm8vdXjLVu29PhnWltbodPpujVbWG8KFlwNQkRE5CLBorKyEnq9HgkJCd2el8elpaU9/plly5YhIiLC0lJTU2Ft7XoDNuaa5leMirf65yciIqKBsfnSiSVLlqCurs7SCgoKrP41DEYjHr1yDK6bMgwTUyKt/vmJiIhoYHwxCLGxsfDx8UFZWVm35+VxYmJij38mICBANVuSHUxvmJaqGhEREblIj4W/vz+mTp2KNWvWWJ4zGAzq8axZs2xxfUREROSuPRZClpouXrwY06ZNw4wZM/D000+jsbFRrRIhIiIizzboYHHjjTeioqICjz76qJqwOWnSJHz22WdnTegkIiIiz+NlNMom4/Yjy01ldYhM5AwPD7fnlyYiIiIb//7mhhpERERkNQwWREREZDUMFkRERGQ1DBZERERkNQwWREREZDUMFkRERGQ1DBZERERkNQwWREREZDUMFkREROS4kt7nylzoUyp4ERERkWsw/97ur2C33YNFfX29OqamcotzIiIiVyO/x6W0t9PsFSLbrBcXFyMsLAxeXl4DTkkSRAoKCri/iB3wftsX7zfvtzvj+9t97rfEBQkVycnJ8Pb2dp4eC7mYlJSUIf1ZuUncuMx+eL/ti/eb99ud8f3tHve7r54KM07eJCIiIqthsCAiIiLPChYBAQF47LHH1JF4v90N39+83+6M72/Pu992n7xJRERE7ssleiyIiIjINTBYEBERkdUwWBAREZHVMFgQERGR5wSL5557DhkZGQgMDMTMmTOxbds2R1+S29i4cSMWLVqkqqhJFdQPPvig28dlXu+jjz6KpKQkBAUFYf78+cjNzXXY9bqyZcuWYfr06aribHx8PK655hocPXq022taWlpw7733IiYmBqGhobj++utRVlbmsGt2Zc8//zwmTJhgKRI0a9YsfPrpp5aP817b1vLly9XPlAceeID33AYef/xxdX+7tlGjRjnN+9upg8Vbb72Fhx56SC2d2bVrFyZOnIjLLrsM5eXljr40t9DY2KjuqYS3nvzxj3/EX//6V7zwwgv45ptvEBISou6/vGlpcDZs2KD+oW/duhVffvkl2tvbsWDBAvU9MHvwwQfx8ccf45133lGvl9L31113HW/1EEh1X/nltnPnTuzYsQMXX3wxrr76ahw8eJD32sa2b9+OF198UQW7rvj+tq6xY8eipKTE0jZt2uQ899roxGbMmGG89957LY/1er0xOTnZuGzZModelzuSt8KqVassjw0GgzExMdH45JNPWp6rra01BgQEGN944w0HXaX7KC8vV/d8w4YNlnvr5+dnfOeddyyvOXz4sHrNli1bHHil7iMqKsr4z3/+k/fahurr640jRowwfvnll8a5c+ca77//fvU839/W9dhjjxknTpzY48ec4V47bY9FW1ub+t+GdL933WdEHm/ZssWh1+YJTp48idLS0m73X2rEy3AU7/+5q6urU8fo6Gh1lPe69GJ0vd/StZmWlsb7fY70ej3efPNN1TskQyK817YjvXJXXHFFt/ex4D23PhmWlmHs4cOH45ZbbkF+fr7T3Gu7b0I2UJWVleoHQkJCQrfn5fGRI0ccdl2eQkKF6On+mz9GQ9/hV8aeZ8+ejXHjxlnut7+/PyIjI3m/rWT//v0qSMjQnYwzr1q1CmPGjMGePXt4r21AwpsMWctQyJn4/rYu+Q/eypUrkZOTo4ZBli5dijlz5uDAgQNOca+dNlgQufP/6uQHQNcxUbI++aErIUJ6h959910sXrxYjTeT9ckW3ffff7+aPyQT7cm2Fi5caDmXuSwSNNLT0/H222+rifaO5rRDIbGxsfDx8TlrJqs8TkxMdNh1eQrzPeb9t6777rsPn3zyCdatW6cmGHa93zL8V1tb2+31fL8PnfyvLTs7G1OnTlWrcmSi8jPPPMN7bQPS/S6T6qdMmQJfX1/VJMTJ5G85l/8t8/1tO9I7MXLkSOTl5TnF+9vbmX8oyA+ENWvWdOtClsfSvUm2lZmZqd6EXe+/TqdTq0N4/wdP5sdKqJDu+LVr16r725W81/38/Lrdb1mOKuOmvN/WIT8/Wltbea9t4JJLLlFDT9JDZG7Tpk1TY//mc76/baehoQHHjx9XpQGc4meJ0Ym9+eabahXCypUrjYcOHTL+4Ac/MEZGRhpLS0sdfWluM4N79+7dqslb4amnnlLnp0+fVh9fvny5ut8ffvihcd++fcarr77amJmZaWxubnb0pbucH/3oR8aIiAjj+vXrjSUlJZbW1NRkec0Pf/hDY1pamnHt2rXGHTt2GGfNmqUaDd4vfvELteLm5MmT6r0rj728vIxffPEF77WddF0VIvj+tp6f/vSn6meJvL+//vpr4/z5842xsbFqtZkz3GunDhbib3/7m7pB/v7+avnp1q1bHX1JbmPdunUqUJzZFi9ebFly+utf/9qYkJCgAt4ll1xiPHr0qKMv2yX1dJ+lrVixwvIaCWz33HOPWhYZHBxsvPbaa1X4oMG74447jOnp6ernRlxcnHrvmkMF77VjggXf39Zz4403GpOSktT7e9iwYepxXl6e09xrbptORERE7j/HgoiIiFwPgwURERFZDYMFERERWQ2DBREREVkNgwURERFZDYMFERERWQ2DBREREVkNgwURERFZDYMFERERWQ2DBREREVkNgwURERFZDYMFERERwVr+Pzaw/MLXafX8AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We can plot a few more on the same plot\n",
    "y_2 = np.log(20*x)\n",
    "y_3 = np.log(30*x)\n",
    "\n",
    "# plot them!\n",
    "plt.plot(x, y)\n",
    "plt.plot(x, y_2)\n",
    "plt.plot(x, y_3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Customize colors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We can plot a few more on the same plot\n",
    "y_2 = np.log(20*x)\n",
    "y_3 = np.log(30*x)\n",
    "\n",
    "# plot them!\n",
    "plt.plot(x, y, 'b')\n",
    "plt.plot(x, y_2, 'k')\n",
    "plt.plot(x, y_3, 'g')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Use a qualitative (categorical) color palette\n",
    "\n",
    "Options here: https://matplotlib.org/stable/tutorials/colors/colormaps.html#qualitative\n",
    "\n",
    "Access list of RGB colors via: `plt.cm.PALETTENAME.colors`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, c=plt.cm.tab10.colors[0])\n",
    "plt.plot(x, y_2, c=plt.cm.tab10.colors[1])\n",
    "plt.plot(x, y_3, c=plt.cm.tab10.colors[2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Customize examples: line thickness (aka width) and style"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, c=plt.cm.tab10.colors[0], linewidth=3, linestyle='dashed')\n",
    "plt.plot(x, y_2, c=plt.cm.tab10.colors[1],linewidth=5, linestyle='dotted')\n",
    "plt.plot(x, y_3, c=plt.cm.tab10.colors[2],linewidth=7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Set title, axis viewing ranges, legend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, c=plt.cm.tab10.colors[0], linewidth=3, linestyle='dashed', label ='log1')\n",
    "plt.plot(x, y_2, c=plt.cm.tab10.colors[1],linewidth=5, linestyle='dotted', label='log20')\n",
    "plt.plot(x, y_3, c=plt.cm.tab10.colors[2],linewidth=7, label='log30')\n",
    "plt.xlabel('My x axis')\n",
    "plt.ylabel('My y axis')\n",
    "plt.xlim([0, 60])\n",
    "plt.ylim([0, 10])\n",
    "plt.title('My pretty plot!')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Subplots\n",
    "\n",
    "**Matplotlib is powerful!** \n",
    "\n",
    "- Let's create a grid of stacked plots with `plt.subplots`.\n",
    "- Let's make it 2 rows and 2 cols. \n",
    "- Let's put the log plot on top-left and a scatter plot of random data on the bottom-right."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The \"grid\" object of 2 subplots is called a Figure object\n",
    "# The subplots are called Axes\n",
    "# Each axis acts like plt above, except the plot decoration commands\n",
    "# usually have a set_ before them. e.g. ax.set_xlabel('My x label')\n",
    "# Control figure size with figsize optional parametr of plt.subplots\n",
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(10, 10))\n",
    "# set the title\n",
    "\n",
    "\n",
    "# Generate random data in both x and y\n",
    "x_r = np.random.random([50,])\n",
    "y_r = np.random.random([50,])\n",
    "\n",
    "# Evaluate the log\n",
    "y1 = np.log(x)\n",
    "y2 = np.log(10*x)\n",
    "y3 = np.log(50*x)\n",
    "# Make scatter plot\n",
    "\n",
    "axes[0,0].plot(x, y, c=plt.cm.tab10.colors[0], linewidth=3, linestyle='dashed', label ='log1')\n",
    "axes[0,0].plot(x, y_2, c=plt.cm.tab10.colors[1],linewidth=5, linestyle='dotted', label='log20')\n",
    "axes[0,0].plot(x, y_3, c=plt.cm.tab10.colors[2],linewidth=7, label='log30')\n",
    "axes[0,0].set_xlabel('My x axis')\n",
    "axes[0,0].set_ylabel('My y axis')\n",
    "axes[0,0].set_xlim([0, 60])\n",
    "axes[0,0].set_ylim([0, 10])\n",
    "axes[0,0].set_title('My pretty plot!')\n",
    "\n",
    "\n",
    "# Make scatter plot\n",
    "axes[1,1].scatter(x_r, y_r)\n",
    "axes[1,1].set_title('Scatter plot!')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.13.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
