{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# dùng lệnh bên dưới để hiển thị inline trong Jupyter notebook\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Các khái niệm cơ bản\n",
    "\n",
    "![Anatomy](anatomy.png \"Anatomy\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Figure\n",
    "\n",
    "Figure là bounding box của biểu đồ mà ta trình bày. Một figure sẽ gồm 1 hay nhiều Axes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,0.98,'Không có Axes trong Figure này')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# tạo một figure rỗng, không có axes nào\n",
    "fig = plt.figure()\n",
    "\n",
    "# đặt title cho figure\n",
    "fig.suptitle(\"Không có Axes trong Figure này\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# tạo một figure gồm 2x2 grid Axes\n",
    "fig, ax_lst = plt.subplots(2, 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Axes\n",
    "\n",
    "Đây là nơi bạn \"plot\" biểu đồ của mình, toàn bộ hình ảnh và thông tin sẽ được hiển thị tại đây. Một Figure có thể có nhiều Axes nhưng một Axes chỉ có thể đặt trong một Figure. Một Axes có thể có hai (hay ba, trong trường hợp không gian 3D) Axis (trục toạ độ) dùng giới hạn đoạn giá trị tương ứng (dùng hàm `set_xlim()`, `set_ylim()`). Mỗi Axes có title (dùng hàm `set_title()`), x-label (dùng hàm `set_xlabel()`), và y-label (dùng hàm `set_ylabel()`)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Axis\n",
    "\n",
    "Trục toạ độ dùng giới hạn miền giá trị và tạo các **ticks** (những dấu gạch dọc trên trục) và **ticklabels** (nhãn/giá trị bên dưới ticks). Vị trí của ticks được định nghĩa bởi **Locator** object, ticklabel được định dạng bởi **Formatter**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Artist\n",
    "\n",
    "Những gì ta thấy trên Figure đều là Artist (Figure, Axes, Axis, Text, Line2D, etc). Khi Figure được render, tất cả những artist này sẽ được vẽ lên canvas."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Các thiết lập trên Figure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### label, grid, title"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0cKxUlwgOAzKB2WZ2bIziEZE0VXm08IUjNFo4Vvb5a9/ddwA/N7MswmcHhUAIsPDHPjRG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\n/PxYJQGRQCSXhu5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ul4ZERGQflAhERNKcEoGISJpTIhARSXNKBCIiaU6JQCRGzOxJMxsT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\nTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_data = [1, 2, 3, 4]\n",
    "y_data = [1, 4, 9, 16]\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# line plot\n",
    "ax.plot(x_data, y_data)\n",
    "\n",
    "# artists\n",
    "ax.set_xlabel('some numbers X')\n",
    "ax.set_ylabel('some numbers Y')\n",
    "ax.grid(True)\n",
    "ax.set_title(\"Plotting example\")\n",
    "\n",
    "#\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### xticks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VfB3MrCvwrrv3P8771HP30looL2mZ2QF3bxbhj1nX3cuq876xcsvlHOCQuz8P\nEPpkfgqMN7MfmtlsM/uHma0xsycOv5OZXWBmc81soZnNMLOI/sPKd5nZz83sh6HHfzKzD0OPLzSz\nF0KPx5nZUjNbZma/iWK5ia6umT1jZsvN7EMzawxgZp+Z2W/M7HPgJ2aWamazzCwr9Oe00HlNzWxq\n6NgiM7s8qp9NAjGzRmb2fOjrYJGZjQwdv8XM/lzhvHfN7OzQ4wNm9iszmwcMr+61YyXQ+wELKh5w\n933AJspvCw0GxgIDgLFmlmZmbYFfAOe5+ylANvCzWq06+cwBzgg9PgVoaWb1gNOBL0K3zR4GRgIn\nA6eZ2SVRqTTxnQj8xd37AXuAqyu8raW7n+XuvwP+CPy3u2eGznk2dM79wKeh4yOBJ82sae2VnzAa\nm9ni0J83QsfuBHD3AcB1wItm1ug4H6cpsMzdh7n7l9UtJlbuoRtwtHs/h49/4u57AcxsBdAFaEn5\n/favQptGNwDm1kq1ySsLyDSzlsABYC3lwX0G8BIwjPKQ2AlgZq8CZ1L++xCJrPXuvjj0eAHl99UP\nm1bh8XlA3wobq6eYWXPgAuAyM7srdLwRkA6srLGKE1Ohuw8+4tjpwJ8A3H2VmW0Eeh3n45QBs8It\nJlYCfTnfHWFgZilAGuWfaFGFN5VRXrcBH7n7dbVVZLJz9yIz2wLcBHwFfAOcC6S7+zdmNjCqBSaX\nI78mGld4frDC4zrAcHcvrPjOod9bXe3uq2uuxKRlxzheynfvilQctR+q7n3zimLllssnQBMzuwnK\nfykA/A54ASg4xvt8TfmP9D1D79PEzI73XVDCNwe4K/T3F5T/eHn4dtnXwEgzaxO6FXMt8HlUqpTD\nPgR+dPiJmR0eTX4A/DgU7JjZyVGoLVHNAW4ACGVSOrAa2AAMNrM6ZpYGDI30hWMi0L18qs2VwDVm\ntobykd8h4Off8z55wC3Aa2aWQ3mY9Kn5apPeF8AJwDx33wyUhI7h7rnAL4HPgMXA1+7+XpTqlHL/\nAWSYWU7oduXE0PFfA/WBHDNbFnoukfEU5b+0Xkr57a9b3L2I8p9q11M+zfG3wMJIXzgmpi2KiEj4\nYmKELiIi4VOgi4gkCAW6iEiCUKCLiCQIBbqISIJQoIuIJAgFuohIglCgi4gkiP8Lbhqcl0hhBVAA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_data = [1, 2, 3, 4]\n",
    "y_data = [1, 4, 9, 16]\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# line plot\n",
    "ax.plot(x_data, y_data)\n",
    "\n",
    "# artist\n",
    "ax.set_xticks(x_data)\n",
    "ax.set_xticklabels([\"One\", \"Two\", \"Three\", \"Four\"])\n",
    "\n",
    "#\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Major vs Minor ticks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YDEqy05iZD+MPhhLWk2m99E0mrobB4JLF4CxhMKPV9mrsKM5ynMUwORcNuJsx\nlGg5+8uzeeTNPiIRZao1YgavXxwnHFEbHmG6Fo21+Tx1btCR15tItmXlc6Krng2MWQ9OiDP0TyTe\nYvCmppDn9dDrJIthbGaxKjsR1BVm0jky46jmga2DUZ/4LpMtBojGGaaDIcdlnwG8cXEcl1zqBmsG\nx2rzGZ9dcKRVmEi2pTAMTwdNrYJdDWPWgxPaYvTHLIZExhggajU4xWKYmw8zOBWkNoHCUF+Uycx8\neDFu5QRaYu3Ad5UkxmIAHBlnONU7yc5in6ku4utibqnXYnMttgvbUhhG/Na4koqNfkkOmMvQNxkg\nz+shI9W8AT0rUZGb4RiLwSi2q06gK6kuNuegw0E9hFoGp8nwROMfZrOrxIfbJYvpsE5BKcXJnom4\nO8kup7bAS2FWGq9tszjDthOGhXCE8dkFi1xJzumX1D+R2BoGg4pcL70TzpjLYGQk1SQgI8nAicLQ\nOhQNPCfCJ57ucbOjKMtxKav9kwFG/PMcNlkYRITravOScuZ1PGw7YRiN1TBYYTFkpaXgTXU7ImW1\nfzKxNQwGFXkZzM6HmZi1f07BYg1DAi2G8pwMUlNcjhKGlkF/QgLPBvvLsx3nSjoZGyJ0sNK8+ILB\ndbX59E7MLTah3A5sO2GwqoYBjOpnZxS59VlmMTgnM+ni2Aw5GR5yvInpDQXRwS61BV7HtKOemJ1n\neDqYkMCzwb7ybIamg46Kq5zsmSTFJewpNV8Qjy3GGbaP1bDthCHRs56XU+xLsz347A+GmAqEEpqq\nauCk9tvRVNXEuZEM6gozHWMxtA4lLvBsYFRAO6me4WTPJHvKfKYUti1nb1k2WWkpWhi2Mot9kiyw\nGCAagLY7+Ny/OIch8a6kcidZDKOzCQ08G9QVZtE1OkvYAT11WmKpqmYXty1lX1k0M8kpAejFwHOF\n+W4kiBb2Ha3O5Y2Lzu8saxbbTxj81rmSAEp8aQxOBW0NxvYtVj0n3mLI83rI8Lhtz0xaCEfonZiz\nxGKoL8xkPhxxhA+6ddBPZmpiMpIMcrweKnIzOOcQi+Hi6CxTgZDpgeelHK3K5fzAFLPzoYS9h5PY\nfsIwHSQrLSXhaZsGJdnpzC2EmQ7a9wdlWAyJLG4zEJFYLYO9BVC943OEIyohPZKWUxebJe2EOEPL\n4DQ7SnymDiVaib1l2Y5xJZ00RpgmUhiq84goONHtrGysRLHthMGqGgYDY8SnnT2T+iYDiFyaKpdo\nKnLtL3LrjKWq1hYm3pVkZD11OKA6tmXQz67ixLmRDPaV+Wgf9hNYsH8WxameCdJSXAmNqxyJdWt9\ns3t7FLptO2GwqurZ4FJbDPvrJ0TKAAAgAElEQVQC0P0TcxRlpeFxW/NxV+TZX+RmFLclsobBoDAr\nFV9aiu0B6PGZeUb8wYR+QRrsK88moqIDgezmRM8k+8qzE/r3nZeZSn1h5raJM2w7YbDcYjDaYtgY\ngO6fDFBmQUaSQUVuBuOzC7b6Yy+OzpLhcVvyWYsIdUWZtruSrAg8G+yNBaDtjjOEI4ozvZMcMmmE\n6Vocrc7jePe4I4o3E822E4aoxWClK8l+i6Fvco5yi9xIcCll1U6r4eLoDDUF3oT72g2ckLLaYkGq\nqkFVnpestBTbhaF92M/MfJhDCShsW87R6lxG/POOSMVONNtKGIKhMFOBkGWpqhCtfs5KS7GtyE0p\nRf9EwJKMJAMjI6bHxjjDxdFZSwLPBnWFmfROzNk6/7l1cJqstBRLkgxcsWIyuwPQJ3uiwWAzZ1uv\nhtG19Y2urR9n2FbCsDjS00JXEkQD0HYVuU3OLTC3ELakhsGgwmaLIRJRXBybtSTwbFBXmIlS0GXj\n/OeWwejUNquspL1l2Zzrn7Z1JvLJngkyU93UFyXefba7xIc31c2bXVs/zrC9hMHi4jYDO2c/98dq\nGKzKSAIo9qWT4hLbMpMGpwPMhyKWWgz1hdEvJjvjDK2D/oS2wljOvvJs/MGQra6Vk72T7K/IwW3B\nEJ0Ut4tDlTnaYthqLPZJsthiKMlOY9Cm4POAhcVtBm6XUJabbpvFYDTPq7GguM2gtjD6XnbFGUb9\nQUZn5i2JLxgYAWi73EkL4Qhn+6YSWti2nGuq8zjbN+WINN1EYoowiMidItIsIm0i8pkV9qeJyPdj\n+18Rkdol+/44tr1ZRN5lxnpWw+o+SQbF2ekM2VT93G/BrOeVsLOW4VKqqnWuJF+6h8KsNDqG7REG\no0fSTguFYXeJD5fYJwwtg9MEQ5GEdFRdjaPVeYQiilO9W7vQLW5hEBE38HXgLmAfcJ+I7Ft22MeA\ncaXUDuCrwF/Ezt0HfBDYD9wJ/H3s9RKCYTEUZFpXxwDRlNVgKMLUnPXpmwOTc7jEejGsyPXaZjF0\njc7idomlcRWItsawy2JI5DjP1chIdVNXmGlbZtIpI/BsQaqqgRGAfnOLu5PMsBiOAW1KqXal1Dzw\nEHDvsmPuBR6MPX4YuEOiEbJ7gYeUUkGlVAfQFnu9hDDiD+JLT0lIB8a1WCxys8Gd1D8ZoMhnXXGb\nQUVexqKv32q6xmapyM0gxeJrriu0r5ahZdCPLy2F0mxrxXBfeY5tzfRO9EySnZ5iqcuwMCuN6nzv\nli90M+N/TgXQveR5T2zbiscopULAJFCwznNNY9ji4jaDS9XP1gvDwFSAUgvjCwaVuRkodSnGYSVd\nY9amqhrUFWUy4g8yHbB+SFHLYHRqm1UZSQZ7y3z0TswxOWf9NZ/qneBQZa7l13y0Opc3urZ2oZsZ\nwrDSp7L8X2y1Y9ZzbvQFRD4hIk0i0jQ8PLzBJUapyM3gupr8TZ0bD5dGfFqfsto/GaDM4rtIuJSy\n2mNDM73usVmq7BCGWHps54j119w65Lc08GxgVwV0YCHM+f5pS+oXlnNNdR5D08HF+J1VXByd4etP\nt1kyIMkMYegBqpY8rwT6VjtGRFKAHGBsnecCoJR6QCnVqJRqLCoq2tRC/+Td+/iL9x3a1LnxUOyL\nfjHb0RZjYDJAmcW+dlgyyc3iOIM/GGJ0Zt4ei6HQ6LJqbTO9EX+QsZl5SwPPBvttEobzA9OEIsoW\nYbCr0O2Z5mG+8nizJUWUZgjDa8BOEakTkVSiweRHlx3zKHB/7PH7gF+oqB32KPDBWNZSHbATeNWE\nNTmKjFQ3vvQUy4vcpgML+IMhyzOSgEUxsjozqcuGVFWD6nwvItanrLbYEHg2KPKlUZCZarkwJHLG\n89XYW5ZNWorL8kK3VzvGqMjNoDIv8X/bKfG+gFIqJCKfAh4H3MC3lVJnROQLQJNS6lHgW8A/iUgb\nUUvhg7Fzz4jID4CzQAj4pFJqSyYI2zH7eWCxuM36GENaiptiX5rlFoORqmqHxZDuiQ7IsVoYWget\n65G0HBFhX7n1sxlO9kxSmJVqaQ8wA48NhW5KKV7pGOOWnYWWvF/cwgCglHoMeGzZts8teRwAfmOV\nc78EfMmMdTiZkuw0y4XBrhoGg+jAHmuFoTsmDHbEGCCWmWRxLUPL4DTZ6SmLnXytZm9ZNt99sZOF\ncMSy7LfoKM8cywPPBtdU5/GdFzoJLIQtyXLsGJlhxB/kWJ01MdJtVflsJ9G2GNa6khYtBhuCzwCV\neV7LheHi2Aw5GR5yMjyWvq9BQ1EW7cN+SzNWoq0wEj+1bTX2lWUzH4pYJogzwRBtQ35LOqquxjU1\necyHI5y2qNDt1Y4xAC0MW43i7HSGp62tfjYshhLbhCGDvonoiE2r6BqbsyW+YFBflMnMfJghCzJH\nIOpiaBmatiXwbGB1ZtLZ/ikiypqOqqtxbU0eAE0XrXEnvdIxRmFWGvUWNYbUwmARJdlpzIcjTMxa\nl+89MDVHYVYaqSn2fMyVeRkshJWl2Vh2paoaGM30Llg05nPEP8/E7IItgWeD+qJMUt0uy+IMJ7qN\nwLN9wlCYlUZdYSavWyQMr3aMcX1dvmVWoRYGizBSVq2sfu6bCNgWXwAWsyes6r4Zjih6xu0pbjNo\nKI6lrFrkVrnUCsM+i8HjdrGrNMsyi+FU7yRlOemL/6fs4prqPN64mPhCt57xWXon5ixzI4EWBsuw\no8htYDJgabvt5RiT3HrGrSn46p+cYyGsbBWG0ux0vKluy4RhcZxnsX0WA8De0mzO9k1Z4io92TPJ\nQQv7I61GY20eozPzCc9Cszq+AFoYLMOOthj9k3O2WgyLk9zGrLEYLnVVtU8YRIS6wkzLXEktQ35y\nMjy2tHpZyr7ybEZn5hNelTs5t0DHyAyHq+wLPBs0xuIMiXYnvdoxRk6Gh90WWoVaGCzC+I87ZJEw\nzARDTAVCtloM6R43Rb40y1xJdqeqGtQXZVlW/dw6OM0uG3okLccIQJ9JsDvJyAJygsXQUJRFdnpK\nwoXh5fZRrqvNx2XBMCIDLQwWke5xk+v1WJatMjBlbw2DQWVeBt0WuZK6xmZJcYnt11xfmEnP+FzC\nh7kopWgZ9NuakWRgVWaSlTOer4bLJVxbk5fQzKTeiTk6R2e5saEgYe+xEloYLMTKEZ+Xahisr3pe\nSmWe1zKL4eLoLBV51rfbXk59UXT+88UEz38eng4yObfALpvjCwA5GR4qcjM41z+d0Pc52TNBdb6X\nXK+1M1VWo7E2n7YhPxOz8wl5/ZcujAJwgxaGrUtxdpplwWe7q54NqiysZei2qd32chpig+nbExxn\naLGxFcZK7C3L5mxfYgu+TvZMOsJaMLimOhpnSFR7jBcvjJCfmWppfAG0MFhKsS/dshjDwGT0Lt3O\nGANELYZQRFliKdk1h2E5RpfVRAegFzOSHCIM+8qz6RiZYW4+MS60oekAvRNzHHFA4NngSFUuKS6h\nqdN8YVBK8fKFUW6oL7A0vgBaGCylJDuNoekgEQvunvsnA+R5PZZPq1vOpZTVxLqTpgILjM8uOEIY\nMtNSKMtJT3jKauvQNHleD4VZznCr7CvzEVHQPJgYd9LJ7qg14oSMJIOMVDf7K3IWU0rN5OLoLH2T\nAcvdSKCFwVJKstMJRRTjCfJHLiVaw2BvfAGsq2Uw2m07QRggGme4kOD89habeyQtZ19Z1MWTqAD0\niZ4J3C5hf3l2Ql5/s9zYUMDx7glm582d6f6iTfEF0MJgKVYWufVP2lv1bFCea43FYKSqVtvYJ2kp\n9YWJbaanlKJlYJrdpc5wI0H0JiArLSVhM6BP9Eyyq8SHN9WUptCmcUN9AaGI4jWT3UkvXhihJNu6\n/khL0cJgIcXZ1rXFiM56tl8Y0j3RuQwJtxgcUsNgUF+UyXQgxIg/MdZh32SA6WDIMYFniKZv7i3z\nJcRiUEpxonuCI1XOCTwbNNbm4XELL14YMe01lVK8dGGUGxsKbbEItTBYSLFFRW6BhTBjM/O2zHpe\nicq8jIRbDF1js+R5PWSn29Nuezn1RYltptcyEPXjO8ligGhm0rn+KdPjaBdHZ5mcW+Cwja22V8Ob\nmsKRqlxejrl+zKB5cJrRmXluqLfejQRaGCzFqH5OtCvJyABygsUA1tQyOCUjyaChKLHN9IwA765i\n5wnDzHzY9KLGE7FRnnbOYFiLGxoKOdU7yeScOd2Tn20eBuCWXdZMbFuOFgYLSUtxk5+ZmvDUzUs1\nDPYHn8GauQxdY7NUF1jvi12N8pwM0j2uhNUytAxMU5aTTo7XGRaSwb5YBbTZcYbj3ROke1y2thdf\nixvqC4goTMtOeqZ5mD2lPtv+D2thsJhiX1rC22JcmvXsHIshkbUMoXCE3vE5qvOdIYQQ9bfXFmTS\nnqDMpObBaUfFFwx2l/pwifmZSSe6o6M87a5qX42j1bmkpbgWK5XjYTqwQNPFMd62u8iElW2OuP6V\nRSRfRJ4QkdbY77wVjjkiIi+JyBkROSkiH1iy77si0iEix2M/R+JZTzJQkp34Ird+xwlD9AvbyBwy\nm/7JAKGIve22V2JHcRatQ+bn9IcjitYhv+PiCxBNNmgoyuKkiSMvF8IRTvdNOTK+YJDucdNYm8fz\nbcNxv9YLbaMshBW37io2YWWbI175/QzwlFJqJ/BU7PlyZoGPKKX2A3cCXxORpZ/w/1RKHYn9HI9z\nPY6n2Jf4thgDk3P40lPISnNGWl+ii9wuLtYwOMeVBLC7xEf32BwzQXPz2ztHZ5gPRRxpMUD07vl4\n94Rpqbrn+qeYD0UcVdi2ErfuKqZl0B93Bt6zLUNkpaXQWHvFfbZlxCsM9wIPxh4/CLxn+QFKqRal\nVGvscR8wBNhnI9lMSXY6w/5gQv3tTqlhMEh0LUPHaNRdU2dDvvda7Ird0bcNmRtnWMxIcqgwXFOd\nx8TsgmkDbIx2E3Z+Ua6H2/dG7/CfPj+06ddQSvFM8zA37yjEY6PbLN53LlFK9QPEfq9p+4jIMSAV\nuLBk85diLqavisiq00ZE5BMi0iQiTcPD8ZtrdlGSnUY4ohidSZzVEK1hcI6/PdG1DJ0jM6R7XIvp\nwE7B+OI2u0VE8+A0IlFXlRO5JjbA5s2uCVNe77XOMSrzMhyTTLEa9YWZ1BR4+UUcwnC6d4r+yQC3\n77HPjQTrEAYReVJETq/wc+9G3khEyoB/An5LKRWJbf5jYA9wHZAPfHq185VSDyilGpVSjUVFyWtw\nGEVuQwl0J/VPBhxTw2CQyFqGzpEZagsyLW80djWq8r2ke1yLd/hm0TI4TU2+l4xUe/tgrcaOoix8\naSmmdBxVKlpRfF2tdWMtN4uIcNvuYl68MLrpRoKPne7H7RLesa/E5NVtjKsKg1Lq7UqpAyv8PAIM\nxr7wjS/+FaVSRLKBnwCfVUq9vOS1+1WUIPAd4JgZF+VkjBGfQwmqfp4PRRjxBynLdZYwVOV7F6uT\nzaZzNCoMTsPtEnYW+8y3GAacmZFk4HIJR6pzTbEYLo7OMuIPOt6NZHDH3mKCoQjPt228ClopxU9P\n9XNjQwF5mfY2RozXlfQocH/s8f3AI8sPEJFU4D+Af1RK/duyfYaoCNH4xOk41+N4Et0vaXAqgFLR\nofROoqYgk/7JOYIhc1syhyOK7rE5ah0WXzDYVeJbbI9tBoGFMJ2js47MSFrK0apczg9MxR14f60z\nWhdwLAksBoC31BeQ6/Xwnyf7Nnzuuf5pOkdn+ZWDZQlY2caIVxi+DLxDRFqBd8SeIyKNIvLN2DHv\nB94KfHSFtNR/EZFTwCmgEPhinOtxPIVZaYiQsJx+I1XVCPg6hdoCLxFlfgC6b2KO+XCEWoc0z1vO\n7tIsBqeCpk34ah30E44o9pQ6q8Poco7W5BFRl0ZxbpamznFyvZ7F4UdOx+N2cdeBMp44O7hhd9JP\nTvXhEninzW4kiFMYlFKjSqk7lFI7Y7/HYtublFIfjz3+Z6WUZ0lK6mJaqlLqdqXUwZhr6sNKKWsm\nqNuIx+2iIDM1YRZD30T0i9dpwlATc/VcHDW34MvIfHGyxQCXpq3Fy5nYhDSntZ5eztFYaunrF+Or\nBH7t4hiNNXmOix+txT2Hy5mdD/PU+cF1nxOOKP7jjV5u3llEQZb9SRTOLCPc4iRyklvvojA4y5Vk\n3NF3jpgbZ+h0aKqqgeHyMSvOcKZviqy0FMcV8y0n15vKnlIfL7VvvhJ4cCpA+/BMUgSel3KsLp9i\nXxqPHF+/O+mFthH6JgN8oLEqgStbP1oYbMCY5JYIeifmyM9MdVzP+vzMVHxpKaYHoDtHZsmIpcM6\nkdLsdHzpKaZlJp3um2RfeXZS3EHf0FBAU+f4puNKz7dGA7g377SnkdxmcbuE9x6t4Bfnhxbb01yN\n7zd1k+v18PZ99qapGmhhsIGS7PSExRj6JuYcZy1ANJWvptC7eIdvFp2jM9QUeB0zxWw5IsLuEnMy\nk8IRxfn+ace7kQxubCgkGIpsOjvp+bYRCjJT2evweMpKfOj6GiJK8a+vdl312J7xWX52eoD3XVNJ\nWoozUpC1MNhAcXY6I/4goXDk6gdvkL6JOcodWghUU5C52L7CLDpHZhzrRjLYVerjfP9U3C0iOkb8\nzC2E2V/uvGE1K3GsLh+XsKnGckopnm8b4cYdhUlhHS2nusDL7buL+ddXuggsrG0xfev5DgT4rzfX\nWbO4daCFwQaKfWlEFIzOmDvdSylF7/ic4wLPBrUFXrrHZk0TxFA4QtfYrGMDzwb7y7OZCoTizsg6\nE2tlnSwWQ06Gh/3lOZsShpZBP8PTQW7ZkVxupKV8/JZ6RvxB/vnli6seMzQd4PuvdXPP4XJH/b/V\nwmADRpHbev2P62UqEGJmPkyFg/7AllJTkEkoouibMOe6eyfmCEUUdQ4sblvKwYroHf7pODuOnumb\nIjXF5dhWGCtxY0MBb3aP499gPcNzrdG2NzclWXxhKTc0FHDLzkL+7um2VQf4/J/HW1gIR/idO3Za\nvLq10cJgA0aDu36ThcGpqaoGRnWyWXEGI1W1xqE1DAa7SnykuIRTcQvDJHtKfbY2V9sot+4uZiGs\neK5lY/3Nnjw3yK6SLMfe5KyXT9+5h6m5Bb7w47NX7PtlyzDfb+rmozfWOs4dmjx/YVsI44/d+CI3\niz6HpqoaGCmrZtUyGGMz6x1e/JTucbOrxMfpOKaaKaU43TuVNG4kg8baPHIyPDx5bv2N5cZn5nm1\nY4x37S9N4Mqs4UBFDp+6bQf//kYP//DshcU40+neSX73oTfZVZLFf3/nbptXeSXOymncJuR6PaR7\nXAkTBqfeZRX50sjwuOk0KQDdOuQn1+uhMMvevjLr4UBFNk+eG0IptakMqvaRGSbnFjji8JkEy/G4\nXdy6u4inm4cIRxTudQSSnzw3SETBO/clvzAA/O4dO2kfmeHLPz3PM81DVOR6+fGJPgqyUvnmR64j\n3eOMTKSlaIvBBkSE8twM011JvRMBPG6h0AGVkyshItQUeE2zGC4M+dlRlOXYVNWlHKzIYWxmftOf\nuZHyeU11cjSTW8ode0sYm5mnqXN9VdCPnxmgLCedAxXJZR2tRorbxdc+cITP3b2P/skAzzQPcc+R\nch751E1UO9QNqi0Gm6jIzVisUjaLvok5ynIyHJ3eV1uQSduwOe0h2ob9jugrsx72xwLQp3onNxUD\neqNrHF9aStL0DFrKHXuKyfC4+dHxXq6vL1jz2BF/kGeah/nYzXVJIfjrJcXt4r/eXOeolNS10BaD\nTZTlpCfEleRUN5JBTaGXrtHZuCfYjc3MMzYznzQZOvvKsklxCSe6N1fs9WbXBEeqcx0t+quRmZbC\nnQdK+c+T/VfN6f/Rm72EIopfv7bSotVpVkILg02U52Yw7A8yHzKvyC1a9exsYWgoymI+HKE7ztYY\nxrjMhiQRhnSPm/0VOTRd3PjwmplgiOaBKY4moRvJ4L1HK5gOhHjy3OqN5ZRSPPx6D4crcxw9b2I7\noIXBJspzM1DKvPbbC+EIA1MBKhyakWRg3OHHOwfZOH9HErlWGmvyONE9seGbgRM9E0QUHK1OrsDz\nUm7aUUhVfgbfeaFz1WNevDDK+YFpPnis2rqFaVZEC4NNGC4fs+IMg1MBIsq5NQwGhjC0miAMGR63\n411nS2msySMYinC6b2P1DK93Rq2Mo0mWkbQUt0v42E11vH5xfHH4zlKUUvz9M20U+dJ479EKG1ao\nWYoWBpswitzMijMY1cRlDv+izE73UJKdFr/FMOynodh5c57X4trYeMr1ZucYvNQ+yt6ybHK9zk/L\nXYv3X1dFsS+NL/7kHJFlMaZfnB/ihbZR/p+3NTgyfXO7oYXBJspNLnIzfPZVec4WBohaDW1D8XUb\nNVJVk4liXzo1BV6aOtcfZwgshGm6OM4NV8nmSQa8qSl8+s49nOie4IHn2he3D00H+JP/OM2O4iw+\nckONjSvUGOh0VZtI97gpyEylz6Rahq6xWUSgIhmEoSiLf3+jd9PFXjPBEL0Tc9xX7IyhJhvh2po8\nnmkeJhJR67J23uyKxiRubEh+YQD4tWsqeLp5iL/42XmCCxEOVGTzlz9rZmJunm9/9LqkavexlYlL\nGEQkH/g+UAt0Au9XSl1xOyQiYaJznQG6lFL3xLbXAQ8B+cAbwH9RSpnbctTBlOWal7LaPT5LWXa6\nY/q5r8WOEh/+YIiBqQBlm2gRbsQndhQnX+bKTQ2F/PCNXs72T3Gg4urts1+6MIJL4Fh9ck0xWw0R\n4SvvO4xS8NUnWwAoyIxWAO9LsnYfW5l4LYbPAE8ppb4sIp+JPf/0CsfNKaWOrLD9L4CvKqUeEpF/\nAD4GfCPONSUN5TkZpjWU6x6bpcrh4x4NDBdQ66B/U8Jwrj+52k8v5ZZd0W6hz7YMr0sYnm0Z5lBl\nLtnpnkQvzTIyUt18/UPX8PuD0wxPBzlSneu4iYPbnXjttnuBB2OPHwTes94TJepDuB14eDPnbwXK\nczNMa0HdlUzCEGdm0tm+KXxpKVQmgdtsOcW+dPaXZ/Ns89W7jQ5OBTjRM8k7kqS6e6PsLPFx445C\nLQoOJF5hKFFK9QPEfq82sDRdRJpE5GURMb78C4AJpZTRqL0H2FZ5ahW5GfiDISZnV+7Vvl4CC2EG\np4KOHxBvUJiVSn5mKs0Dm+s2eq5/ir1l2UnbMuHW3UW83jW+ao9+A6MYbKsKg8a5XFUYRORJETm9\nws+9G3ifaqVUI/CbwNdEpAFY6X/1qn0SROQTMXFpGh7eWG93p1KVH73j7R6PrwrYmAyWLMIgIuwv\nz16cSLYRIhEVE4bkiy8Y3L6nhHBE8cTZ1auAAZ44O0hNgZedSVLdrdk6XFUYlFJvV0odWOHnEWBQ\nRMoAYr9XbLqulOqL/W4HngGOAiNArogYdmQl0LfGOh5QSjUqpRqLioo2cInOxXD9dMXZHmIxVTVJ\nhAFgX3k2rYP+DVcBd43NMjMfTupA5TXVuVTlZ/DI8d5VjxnxB3m+dYR37S9NWstIk7zE60p6FLg/\n9vh+4JHlB4hInoikxR4XAjcBZ1V0YsXTwPvWOn8rY5YwdC0KQ/L43PeVZTMfjmy40M0IPO8tS15h\nEBHee6SCF9pGGFqlJYrRTO59upmcxgbiFYYvA+8QkVbgHbHniEijiHwzdsxeoElEThAVgi8rpYw5\nd58G/lBE2ojGHL4V53qSiux0D3lejykWQ7rHRZFD5zCsxP7yaEbO2f6NuZPO9k/hdknSN1m792gF\nEQX/9nrPFfsiEcX3Xu3SzeQ0thFXOoBSahS4Y4XtTcDHY49fBA6ucn47cCyeNSQ71fneuDuNdo3N\nUp3vTSqXQ11hJhkeN2f6Jjd0V3ymb4qGosykb5vQUJTF23YV8Z0XOvjYzXWXXc/jZwa4MDzD39x3\n1MYVarYzuszQZipNFIZkwu0S9pT5OLuBALRSije7xpNuvOVqfPK2HYz45/mHZy8sbgsshPnK483U\nFWby7oNlNq5Os53RwmAz1fleesbnNj24RilF99gslXnJJQwQLVA72z+1OCD9anSNzTI+u5DUcwmW\ncqwun3uPlPP1p9t4uX2UcETxZz8+Q/vIDF98z4F1zUfWaBKBriyxmep8L6GIon9yblNf7mMz88zM\nh5MqI8ngUEUu//xyFxeGZ9Y1ic2Ye7xVLAaAP/3V/ZzqneQ3/+/LFPnSGJwK8tu3NnDTjkK7l6bZ\nxmhhsJnqJZlJmxGG9pFoS436wkxT12UFS9tQr08YxvGmurdUQDYvM5Uf/rcbeeCX7VwcneWd+0u4\n53C53cvSbHO0MNiMIQzdY7PQsPHzO4ZjwlCUfMJQX5hJfmYqTRfH1zW1683uCQ5X5m45F0uuN5U/\nunOP3cvQaBbRMQabKctJx+0SLo5uLgB9YcRPqtuVlDEGEeHamjxeX8cc5KnAAqd7J2ms3RrxBY3G\nyWhhsJkUt4uqvM13WW0fnqGmwJu0d9GNNXl0jMww4g+uedzLF0aJKLhZ+941moSjhcEBNBRl0T68\nWWHwJ6UbyeC6uuicgZcujK553AttI2R43FsmI0mjcTJaGBxAQ3EW7SMzG05ZDYUjdI3NUp9kIy6X\ncrgylzyvh6fPr9hma5Hn2ka4vj6f1BT9J6vRJBr9v8wB1BdmMh+K0Du+sWlu3eNzLIRVUmYkGbhd\nwtt2FfFMy/AVA+INesZnaR+e0W4kjcYitDA4gIZYquaF4Y01lGuPHZ/MriSA2/YUMzYzz4meiRX3\n//TUAKDnEmg0VqGFwQE0FG1WGIwahuR1JQG8bVcRbpfws9MDK+7/yal+9pdnU1OQ3AKo0SQLWhgc\nQH5mKnleDxc2GIBuH/GT5/WQl5maoJVZQ643ldt2F/Pvb/SyEL58PkPbkJ/j3RPcfUgXfWk0VqGF\nwSE0FGVt2GI4PzC9ZaqAP3BdFSP+IE8um2r23Rc7SE1x8f5GPZdAo7EKLQwOIZqyun5hiEQUzQPT\nST2wZim37S6ivjCTr/y5f50AAAjhSURBVD7Zspid1Tcxx8Ov93DP4XIKkmjWhEaT7GhhcAgNxZmM\n+OeZmJ1f1/Hd47PMzofZU7o1LIYUt4v/8a7dtAz6+ZunWgkshPmjh0+iFPz+23favTyNZluheyU5\nhN2l0Tv/c/3T3NBQcNXjzw9MA7Bni1gMAHcdKOXXjlbw10+18g/PXiAYivCXv34oKdt9aDTJjBYG\nh7Av9gV/pm9yfcLQP40I7CpJ7oykpYgIX/mNw1xbm8eZvinuOlDKLTuL7F6WRrPtiEsYRCQf+D5Q\nC3QC71dKjS875jbgq0s27QE+qJT6kYh8F3gbMBnb91Gl1PF41pSsFPnSKPalrXsG8vmBKWoLMvGm\nbi1td7uED11fY/cyNJptTbwxhs8ATymldgJPxZ5fhlLqaaXUEaXUEeB2YBb4+ZJD/qexf7uKgsG+\n8ux1j7o80ze1ZeILGo3GWcQrDPcCD8YePwi85yrHvw/4qVIqviHHW5T95dm0DfkJhsJrHjfqD9I1\nNrulJplpNBrnEK8wlCil+gFiv4uvcvwHge8t2/YlETkpIl8VkW2dk7ivLIdQRNE6uHba6vHurTfi\nUqPROIerCoOIPCkip1f4uXcjbyQiZcBB4PElm/+YaMzhOiAf+PQa539CRJpEpGl4eHgjb500HKrM\nAaKTytbiePcEbpdwMHa8RqPRmMlVhUEp9Xal1IEVfh4BBmNf+MYX/1q9k98P/IdSamHJa/erKEHg\nO8CxNdbxgFKqUSnVWFS0NTNVKvMyKMlO47WOsTWPe7Nrgj2lvi0XeNZoNM4gXlfSo8D9scf3A4+s\ncex9LHMjLREVIRqfOB3nepIaEeG62nxe7RhDqZVbUEciihPdExyt1m4kjUaTGOIVhi8D7xCRVuAd\nseeISKOIfNM4SERqgSrg2WXn/4uInAJOAYXAF+NcT9JzrC6fgakAPavMZjjTN8V0MERjTb7FK9No\nNNuFuHwRSqlR4I4VtjcBH1/yvBOoWOG42+N5/63IdbXRL/xXO8aoyr+y4veXrdH4yk16aI1Go0kQ\nuleSw9hd4iPP6+G51pUD7M+1DrOvLJsi37ZO4NJoNAlEC4PDcLmEO/aW8NT5oStmE0zMztPUOc5b\nd23N4LtGo3EGWhgcyLv2lzIdCPFy++hl239yqp9QRHH3oTKbVqbRaLYDWhgcyC07C8lOT+Gh17ov\n2/6jN3vZUZzF/vKt01FVo9E4Dy0MDiTd4+a+Y9X87PQAPePR7iHHuyd4rXOc9zdWEs3u1Wg0msSg\nhcGhfOTGWtwu4c9+fJbZ+RCff+Q0+Zmp/KbuPKrRaBKMFgaHUpGbwR+9azdPnB3k0J/+nJO9k3zp\nPQfIStPVzhqNJrHobxkH8/Fb6inypfFi2yh3HSzl1t1X61Go0Wg08aOFweHce6SCe49cURuo0Wg0\nCUO7kjQajUZzGVoYNBqNRnMZWhg0Go1GcxlaGDQajUZzGVoYNBqNRnMZWhg0Go1GcxlaGDQajUZz\nGVoYNBqNRnMZstpsYScjIpNA6yZPrwa6NnluDjC5yXPjPT+ec+26Zjv/vfQ1W/e++pqtOxfiu+ad\nSqmcqx6llEq6H+CBOM4dtuN9TVh30l2zzf9e+pr1NTvymk3490r4NSerK+nHcZw7YdP7xnt+Ml6z\nnf9e+pqte199zdadCxZcc1K6kuJBRJqUUo12r8NK9DVvD/Q1bw+suOZktRji4QG7F2AD+pq3B/qa\ntwcJv+ZtZzFoNBqNZm22o8Wg0Wg0mjXYVsIgIneKSLOItInIZ+xej9mISJWIPC0i50TkjIj8Xmx7\nvog8ISKtsd95dq/VbETELSJvish/xp7XicgrsWv+voik2r1GMxGRXBF5WETOxz7vG7b65ywifxD7\nuz4tIt8TkfSt9jmLyLdFZEhETi/ZtuLnKlH+JvZ9dlJErjFrHdtGGETEDXwduAvYB9wnIvvsXZXp\nhID/rpTaC7wF+GTsGj8DPKWU2gk8FXu+1fg94NyS538BfDV2zePAx2xZVeL4a+BnSqk9wGGi175l\nP2cRqQB+F2hUSh0A3MAH2Xqf83eBO5dtW+1zvQvYGfv5BPANsxaxbYQBOAa0KaXalVLzwEPAvTav\nyVSUUv1KqTdij6eJfllUEL3OB2OHPQi8x54VJgYRqQTeDXwz9lyA24GHY4dsqWsWkWzgrcC3AJRS\n80qpCbb450x04mSGiKQAXqCfLfY5K6V+CYwt27za53ov8I8qystAroiUmbGO7SQMFUD3kuc9sW1b\nEhGpBY4CrwAlSql+iIoHsNWGR38N+CMgEnteAEwopUKx51vts64HhoHvxNxn3xSRTLbw56yU6gX+\nX6IVv/1EK4dfZ2t/zgarfa4J+07bTsIgK2zbkilZIpIF/Dvw+0qpKbvXk0hE5G5gSCn1+tLNKxy6\nlT7rFOAa4BtKqaPADFvIbbQSMb/6vUAdUA5kEnWlLGcrfc5XI2F/59tJGHqAqiXPK4E+m9aSMETE\nQ1QU/kUp9cPY5kHDxIz9HrJrfQngJuAeEekk6h68nagFkRtzOcDW+6x7gB6l1Cux5w8TFYqt/Dm/\nHehQSg0rpRaAHwI3srU/Z4PVPteEfadtJ2F4DdgZy2JIJRq4etTmNZlKzLf+LeCcUuqvlux6FLg/\n9vh+4BGr15YolFJ/rJSqVErVEv1Mf6GU+hDwNPC+2GFb7ZoHgG4R2R3bdAdwli38ORN1Ib1FRLyx\nv3Pjmrfs57yE1T7XR4GPxLKT3gJMGi6neNlWBW4i8itE7ybdwLeVUl+yeUmmIiI3A88Bp7jkb/9f\nROMMP+BSV8bfUEotD3AlPSJyK/A/lFJ3i0g9UQsiH3gT+LBSKmjn+sxERI4QDbanAu3AbxG90duy\nn7OI/BnwAaLZd28CHyfqU98yn7OIfA+4FSgEBoHPAz9ihc81JpB/RzSLaRb4LaVUkynr2E7CoNFo\nNJqrs51cSRqNRqNZB1oYNBqNRnMZWhg0Go1GcxlaGDQajUZzGVoYNBqNRnMZWhg0Go1GcxlaGDQa\njUZzGVoYNBqNRnMZ/z+uYdxDV9FRBQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.ticker import (MultipleLocator, FormatStrFormatter,\n",
    "                               AutoMinorLocator)\n",
    "\n",
    "# each major's step = 20\n",
    "majorLocator = MultipleLocator(20)\n",
    "\n",
    "# major's format is digit\n",
    "majorFormatter = FormatStrFormatter('%d')\n",
    "\n",
    "# minor's step = 5\n",
    "minorLocator = MultipleLocator(5)\n",
    "\n",
    "# create sample values\n",
    "t = np.arange(0.0, 100.0, 0.1)\n",
    "s = np.sin(0.1 * np.pi * t) * np.exp(-t * 0.01)\n",
    "\n",
    "# plotting\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "# artist\n",
    "ax.plot(t, s)\n",
    "\n",
    "# major setup\n",
    "ax.xaxis.set_major_locator(majorLocator)\n",
    "ax.xaxis.set_major_formatter(majorFormatter)\n",
    "\n",
    "# for the minor ticks, use no labels; default NullFormatter\n",
    "ax.xaxis.set_minor_locator(minorLocator)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## format string\n",
    "\n",
    "fmt = '[color][marker][line]'\n",
    "\n",
    "\n",
    "**Color**\n",
    "\n",
    "<table border=\"1\">\n",
    "    <thead>\n",
    "        <tr>\n",
    "            <th>character</th>\n",
    "            <th>color</th>\n",
    "        </tr>\n",
    "    </thead>\n",
    "    <tbody>\n",
    "        <tr>\n",
    "            <td>'b'</td>\n",
    "            <td>blue</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'g'</td>\n",
    "            <td>green</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'r'</td>\n",
    "            <td>red</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'c'</td>\n",
    "            <td>cyan</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'m'</td>\n",
    "            <td>magenta</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'y'</td>\n",
    "            <td>yellow</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'k'</td>\n",
    "            <td>black</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'w'</td>\n",
    "            <td>white</td>\n",
    "        </tr>\n",
    "    </tbody>\n",
    "</table>\n",
    "\n",
    "**Markers**\n",
    "\n",
    "\n",
    "<table border=\"1\">\n",
    "    <thead>\n",
    "        <tr>\n",
    "            <th>character</th>\n",
    "            <th>description</th>\n",
    "        </tr>\n",
    "    </thead>\n",
    "    <tbody>\n",
    "        <tr>\n",
    "            <td>'.'</td>\n",
    "            <td>point marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>','</td>\n",
    "            <td>pixel marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'o'</td>\n",
    "            <td>circle marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'v'</td>\n",
    "            <td>triangle_down marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'^'</td>\n",
    "            <td>triangle_up marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'&lt;'</td>\n",
    "            <td>triangle_left marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'&gt;'</td>\n",
    "            <td>triangle_right marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'1'</td>\n",
    "            <td>tri_down marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'2'</td>\n",
    "            <td>tri_up marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'3'</td>\n",
    "            <td>tri_left marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'4'</td>\n",
    "            <td>tri_right marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'s'</td>\n",
    "            <td>square marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'p'</td>\n",
    "            <td>pentagon marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'*'</td>\n",
    "            <td>star marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'h'</td>\n",
    "            <td>hexagon1 marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'H'</td>\n",
    "            <td>hexagon2 marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'+'</td>\n",
    "            <td>plus marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'x'</td>\n",
    "            <td>x marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'D'</td>\n",
    "            <td>diamond marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'d'</td>\n",
    "            <td>thin diamond marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'|'</td>\n",
    "            <td>vline marker</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'_'</td>\n",
    "            <td>hline marker</td>\n",
    "        </tr>\n",
    "    </tbody>\n",
    "</table>\n",
    "\n",
    "**Lines**\n",
    "\n",
    "<table border=\"1\">\n",
    "    <thead>\n",
    "        <tr>\n",
    "            <th>character</th>\n",
    "            <th>description</th>\n",
    "        </tr>\n",
    "    </thead>\n",
    "    <tbody>\n",
    "        <tr>\n",
    "            <td>'-'</td>\n",
    "            <td>solid line style</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'--'</td>\n",
    "            <td>dashed line style</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>'-.'</td>\n",
    "            <td>dash-dot line style</td>\n",
    "        </tr>\n",
    "        <tr>\n",
    "            <td>':'</td>\n",
    "            <td>dotted line style</td>\n",
    "        </tr>\n",
    "    </tbody>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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npkwkLjruJ8viouOYmDLRo0QiIqErpAs9tUMq6QPSaRnfEsNoGd+S9AHppHZI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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fmt_string = \"go-.\"\n",
    "plt.plot([1, 2, 3, 4], [1, 4, 9, 16], fmt_string)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Subplots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0VszsbDNbaWarzezmbOxDJMteBiaa2Tgz6wtcDjwW8ZhEekI1LAUj452VTM1A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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# subplot 1: with indexing\n",
    "names = ['group_a', 'group_b', 'group_c']\n",
    "values = [1, 10, 100]\n",
    "\n",
    "plt.figure(1, figsize=(9, 3))\n",
    "\n",
    "# 131 is nrows=1, ncols=3, pos=1\n",
    "plt.subplot(131)\n",
    "plt.bar(names, values)\n",
    "\n",
    "# 132 is nrows=1, ncols=3, pos=2\n",
    "plt.subplot(132)\n",
    "plt.scatter(names, values)\n",
    "\n",
    "# 133 is nrows=1, ncols=3, pos=3\n",
    "plt.subplot(133)\n",
    "plt.plot(names, values)\n",
    "\n",
    "\n",
    "plt.suptitle('Categorical Plotting')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0VszsbDNbaWarzezmbOxDJMteBiaa2Tgz6wtcDjwW8ZhEekI1LAUj452VTM1A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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# subplots 2: with 1D array (nrows=1) or 2D array (nrows > 1)\n",
    "names = ['group_a', 'group_b', 'group_c']\n",
    "values = [1, 10, 100]\n",
    "\n",
    "fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(9, 3))\n",
    "\n",
    "axes[0].bar(names, values)\n",
    "\n",
    "axes[1].scatter(names, values)\n",
    "\n",
    "axes[2].plot(names, values)\n",
    "\n",
    "plt.suptitle('Categorical Plotting')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0VszsbDNbaWarzezmbOxDJMteBiaa2Tgz6wtcDjwW8ZhEekI1LAUj452VTM1A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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# subplots 3: exploding into tuptle of axes\n",
    "fig, (ax1, ax2, ax3) = plt.subplots(nrows=1, ncols=3, figsize=(9, 3))\n",
    "\n",
    "ax1.bar(names, values)\n",
    "\n",
    "ax2.scatter(names, values)\n",
    "\n",
    "ax3.plot(names, values)\n",
    "\n",
    "plt.suptitle('Categorical Plotting')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Controlling the style\n",
    "\n",
    "Trong Matplotlib có rất nhiều styles khác nhau để bạn visualize theo ý thích. Để xem tất cả các style hỗ trợ hiện tại, ta có thể dùng pyplot.style."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Num: 26, List:['seaborn-talk', 'seaborn-deep', 'seaborn-darkgrid', 'seaborn-dark-palette', 'dark_background', 'seaborn-notebook', 'fast', 'seaborn-poster', '_classic_test', 'tableau-colorblind10', 'ggplot', 'seaborn-ticks', 'seaborn-paper', 'fivethirtyeight', 'seaborn-muted', 'seaborn-white', 'grayscale', 'bmh', 'seaborn-whitegrid', 'seaborn-colorblind', 'seaborn-bright', 'Solarize_Light2', 'classic', 'seaborn-pastel', 'seaborn', 'seaborn-dark']\n"
     ]
    }
   ],
   "source": [
    "ls_style = plt.style.available\n",
    "print(\"Num: {}, List:{}\".format(len(ls_style), ls_style))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DkZaWdkn3taN19rU2GAwYNGgQ/vOf/yA7OxsbNmzA/v37L/n+OlO3D2JRUZHd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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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hPDwcAHDs2DEYDAbtsTciIqiru9XqGg+LRVBXxxfp7cBeNz+Ofr5v+RjM3d0dgwYNwqpV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\nDEQiIoWBSESkMBCJiJT/D/RSTHrl6IBqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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q1CgUFBRg0KBBMJvNymPNZjMGDx6MAQMGuFYxEZGHuPSSuaOjAzNnzsSWLVuwePFihIWF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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4HAoJCdGjjz6qgoICJSQkSJISEhKUm5tr60ABwA4end6Wl5crOztbGzduVGBgoKZMmaLi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\nAKMQPQBGIXoAjPJ/I0AmjZtu6NAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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rAACXL1/G1q1bsXz5cty9excZGRkIDg6GwWBAaGiolQ6LiEhbjw3LL7/8Er169TI9njlz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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JWnjVNS2J8fnz57V48WJNnz7dcfVEkyZNtHPnTm3evFkBAQFXHAVnZ2fL39/fiuEBwOlZ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\nTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7WCK9vuCKFy5cd4wDAwMbvQFNSUmJ/Wi54XX3xcXF9lMZDS/NvNJLQRtOTfj5+RFjF+Pl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\nTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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rFBUVKSIiwp2HAYAmy61Id+jQQTt37lRlZaWkC6+sY2JidOTIEe3fv1+StGzZMvXs2dP9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\njwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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g4gwABhFnADCIOAOAQcQZAAwizgBgEHEGAIOIMwAYRJwBwCDiDAAGEWcAMIg4A4BBxBkA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\nTRHeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhG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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RAADDiAAAGEYEAMAwIgAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACG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\nSUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WFubxOygAAN+pqqpSSUmJ4uLiGvwg/7zOBDp06KC+ffu6rtEuKCjQ0KFDJZ35anl2drYk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\nAAYjAgBgMCIAAAb7XwmED7KlONRWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ADCMCAGAYEQAAw4gAABhGBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGEYE\nAMAwIgAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMC\nAGAYEQAAw4gAABhGBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGOasyUL79+/X4sWL\n1aJFCxUUFOi3v/2tFi1aJIfDIbfbrZiYGPn7+3t7rAAAL6vRkcC2bdsUGRmpF198UXfccYe2bNmi\niIgIzZgxQxEREUpMTPT2OAEAtaBGRwKDBw/W5MmT9fXXX+vkyZNq06aNHnnkEUlSWFiYkpKSvDpI\nAEDtqNGRwKpVqzRq1CjNnDlTDz/8cJUXfU4FAcDPQ40iUFxcrMDAQElS48aN9dRTTykrK0uSlJmZ\nKZfL5b0RAgBqTY1OB0VFRemtt97Spk2bVFxcrBdeeEFvv/220tPT5XQ6FR0d7e1xAgBqQY0iEBoa\nqtmzZ1eaNn36dK8MCABQd/ieAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhG\nBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGEYEAMAwIgAAhhEBADCMCACAYUQAAAwj\nAgBgGBEAAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhGBADAMCIAAIYR\nAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGEYEAMAwIgAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOI\nAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhGBADAMCIAAIYRAQAwzPlTFn7n\nnXd0+PBhnT59WjExMVqwYIEcDofcbrdiYmLk7+/vrXECAGpBjSOQkZGhwsJCzZo1SwcPHlRiYqIi\nIiIUFRWlVatWKTExUcOGDfPmWAEAXlbjCGRmZsrpdGr+/Pk6e/asnE6nBg0aJEkKCwtTUlKS1wYJ\nAKgdNb4mUF5erltvvVWTJ0/WvffeKz8/v0qPcyoIAG5+NY6Ay+WS2+2WJN1yyy1KSkpSVlaWpItH\nCS6XyzsjBADUmhqfDrr33nuVmpqqP/3pTzp9+rSWLFmixYsXKz09XU6nU9HR0d4cJwCgFtQ4Ag6H\nQy+88EKladOnT//JAwIA1B2+JwAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACG\nEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhGBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADD\niAAAGEYEAMAwIgAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBh\nRAAADCMCAGAYEQAAw4gAABhGBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGEYEAMAw\nIgAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBhzp+y8FdffaU3\n3nhD7777rmJjY+VwOOR2uxUTEyN/f39vjREAUEtqfCRw+vRpJSYmqlWrVkpISFBERIRmzJihiIgI\nJSYmenOMAIBaUuMILFmyRBMmTJAk5eTkKCwsTJIUFhamvXv3emd0AIBaVaMIbN26VSEhIWrbtq0k\nqUGDBpUe51QQAPw81CgCW7ZsUU5OjubMmaMDBw6oVatWysrKkiRlZmbK5XJ5dZAAgNpRowvDU6ZM\n8fx58uTJGj58uGJjY5Weni6n06no6GivDRAAUHt+0qeDJGn+/PmSpOnTp//kwQAA6hbfEwAAw4gA\nABhGBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGEYEAMAwIgAAhhEBADCMCACAYUQA\nAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhGBADAMCIA\nAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGEYEAMAwIgAAhhEBADCMCACAYUQAAAwjAgBgGBEA\nAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhGBADAMCIAAIYRAQAwjAgA\ngGFEAAAMIwIAYBgRAADDiAAAGEYEAMAwIgAAhjlrslBRUZHmzJkjPz8/FRcXa+rUqVqwYIEcDofc\nbrdiYmLk7+/v7bECALysRkcCubm5evzxxzVz5kxFRkZq8+bNioiI0IwZMxQREaHExERvjxMAUAtq\ndCQQEREhSaqoqFBGRobOnDmjCRMmSJLCwsKUlJTkvRECAGpNja8JFBYWavbs2RoxYoQ6dOhQ6TFO\nBQHAz0ONIlBSUqK5c+fqmWee0d133y2Xy6WsrCxJUmZmplwul1cHCQCoHTU6HbRq1Srl5eVpwYIF\nkqQePXrou+++U3p6upxOp6Kjo706SABA7ahRBEaPHq3Ro0dXmjZs2DCvDAgAUHf4ngAAGEYEAMAw\nIgAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACGEQEAMIwIAIBhRAAADCMCAGAY\nEQAAw4gAABhGBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADDiAAAGEYEAMAwIgAAhhEBADDM\nWd8DgA1jxoxRdnZ2fQ8Dklwul+Li4up7GLhJEAHUiezsbH355Zf1PQwAV+B0EAAYRgQAwDAiAACG\nEQEAMIwIAIBhRAAADCMCAGAYEQAAw4gAABhGBADAMCIAAIYRAQAwjAgAgGFEAAAMIwIAYBgRAADD\niAAAGEYEAMAwIgAAhhEBADCMCACAYUQAAAwjAgBgGBEAAMOIAAAYRgQAwDAiAACGOetrw+PHj1dA\nQEB9bR6XcblciouLq+9hAKgH9RaBjIyM+to0AOD/81oESktLFRsbK4fDIbfbrZiYGPn7+3tr9QCA\nWuC1CCQkJCgiIkJRUVFatWqVEhMTNWzYsCrzlZWVeWuT8JIzZ87o66+/rvVt4ObA/rbnWq+7XotA\nTk6OBg4cKEkKCwtTUlJStfPl5eV5a5PwkoyMDHXr1q2+h4E6wv62Jy8vT126dKn2Ma9FoEGDBpX+\n+2qngrp3765p06YpJCREfn5+3to8AOAKZWVlysvLU/fu3a86j9ci4HK5lJWVpfDwcGVmZsrlclU7\nX7NmzTRgwABvbRYAcA1XOwK4xJGSkuL2xobKysoUGxur8+fPy+l0Kjo6mnf6AHCT81oEAAA/P3xj\nGAAMIwIAYBgRwE0lISFBy5cvr+9hAGYQAQAwrEYfEc3Ly9Nrr72m9u3bq6ioSN27d9cXX3yhli1b\nauzYsXr99dcVGBiowsJC/eEPf9CWLVtUWFiokSNHauXKlWrcuLEk6dNPP5XL5VJOTo4mTZqkkJCQ\nKtsqKCjQ3LlzFRgYqJKSEk2fPr3KdxJQu+pyf0vSjh07dPjwYR04cEBTp0696nyoPXW5zwsLCzV3\n7lz5+vqqefPmevHFF+v66ZpWoyOBhIQE/epXv9Lvf/97ORwOSVKLFi00adIkxcfHq3fv3poyZYq6\ndeumxMTEq64nODhYTz/9tIYOHaqEhIRq5ykqKtKTTz6pqVOnqnnz5tqzZ09NhoyfoC73tyTdeuut\nmjJlioYPH64NGzZ4/fngx9XlPl+zZo0efvhhzZo1S+Hh4SotLa2V54Tq1SgCx48fV6tWrSRJHTt2\nlCTPf//www+e2oeEhCg/P/+q67m0TFBQkE6cOFHtPH5+fkpISNCbb76pzMxM7j1UD+pyf0tS69at\nPfOfPHnypz8B3LC63Of5+fme+QYMGKBGjRp550ngutQoAs2bN9fx48clSfv27ZMkz7uF0NBQHT16\nVJJ09OhRhYSEqEGDBiovL5ckHTt2zLOeI0eOSLr4P1WLFi2q3dbKlSvVq1cvTZo0Sa1bt9aFCxdq\nMmT8BHW5vyV5XlR+bD7Unrrc56GhoTp8+LCki0cFRUVF3n9CuCrf8ePHz7zRhYKDg7V06VLt3r1b\nxcXF8vPzk9PpVJcuXdShQwetWLFC27Zt0+HDhzV27FgFBQVp+fLlOnLkiPLy8tSmTRtJ0t69e5WR\nkaGtW7de9ZfMnDt3TitWrFBmZqaCgoKUmpqq/v37/9TnjRtQl/t77969ysnJUXp6urZt28YvH6on\ndbnP27Vrpw8++ECbNm1SaWmpHnrooTp+trbV6BvDx44dU3FxsW6//XYtWLBA3bt3V2Rk5A2tIyEh\nwXMhCTc39rc97HM7avTpIB8fHy1YsEAtWrRQWVmZV25LW1BQoKVLl1aZPnHiRO5BVM/Y3/awz+3g\n3kEAYBhfFgMAw4gAABhGBADAMCIAAIYRAQAwjAgAgGH/DwEls5IE5T7HAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cMwIABknJrwQ2bdqkpUuX6mc/+5kSiYTmz58vSZoxY4ZaW1s/8P7JZFKeN3D3sVgs7+JT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\nDfu2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wGBEAAIMRAQAwGBEAAIMRAQAwGBEAAIMRAQAwGBEAAIMRAQAwmL2mFrwz7ajk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\nAMBgRAAADEYEAMBgRAAADPb/AAG1YKlrjixjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NmzZKTk7WF198oby8PAUGBqply5aaNGmSBg4c6Jp36NChstvtWrBggdasWaO8vDzVrVtX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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MU38+RcDpdCo/P1+9e/dWXl6eoqKiVFNTU29ZQ+qmgIKDg4mAQWw2G+fbIJZsOlzF+T5f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\nrirSSwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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27/eroKhELWPcGtyrsySpfUILrW1ABNyRkXI4HL4Mj9NUlNsd6CnAX/IDPQE0lE8R+PSL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\ngGFEAAAMIwIAYBgRAADDiAAAGPZ/JGvZtpz+GkAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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tNzk5WZ6enpIku90uu91uxXQBoIWsPXmTpMNnXNOSGPv6+srd3V3du3f//w23a6egoCAV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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TJkzQnDlzFBUVpcTERB09elQFBQUaOXKkYmJilJaWJqvVqrFjx2rv3r3OGh4AXJrTYpyV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\nxgBgAGIMAAYgxgBgAGIMAAb4f6GXUavVXfbkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ERL366qvKyclp9prOiSdxhGLvIg/7Za9V3ob2uZSUFD3zzDN66qmnFBMTo/79++u73/1u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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ghAADgBECDABGCDAAGCHAAGCEAAOAEQIMAEYIMAAYIcAAYIQAA4ARAgwARggwABghwABg\nhAADgBECDABGCDAAGCHAAGCEAAOAEW99bCQzM1Off/658vLy9Ne//lV5eXkKDw9XfHy8srKyFBYW\nVh9PAwBBJeAj4I8++kiffvqpJMnn8+nVV1/VH//4Ry1fvlyhoaFatmxZwEMCQDAKKMAXLlzQggUL\nNGPGDEnfxLh79+6KioqSJA0dOlSFhYUBDwkAwSigAM+ZM0fjx4/3B7e8vFwxMTH+5bGxsSorKwts\nQgAIUnUO8KZNm3TlyhU9+eSTN13POVfXpwCAoFbnX8KtX79eJSUlSktLU3V1tQ4fPqwTJ04oOTnZ\nv05paani4+PrZVAACDZ1DnB2drb/zyUlJZoxY4YWLlyoZ599VqdPn1ZUVJTefvttpaam1sugABBs\n6uUytH+JiYnR9OnTNW7cOIWGhqpDhw76/ve/X59PAQBBo14C3Lp1a+Xl5UmSnn76aT399NP1sVkA\nCGp8Eg4AjBBgADBCgAHACAEGACMEGACMEGAAMEKAAcAIAQYAIwQYAIwQYAAwQoABwAgBBgAjBBgA\njBBgADBCgAHACAEGACMEGACMEGAAMEKAAcAIAQYAIwQYAIwQYAAwQoABwAgBBgAjBBgAjBBgADBC\ngAHACAEGACMEGACMEGAAMEKAAcAIAQYAIwQYAIwQYAAwQoABwAgBBgAjBBgAjBBgADBCgAHACAEG\nACMEGACMEGAAMEKAAcAIAQYAIwQYAIwQYAAwQoABwAgBBgAjBBgAjBBgADBCgAHACAEGACMEGACM\nEGAAMEKAAcCIN9ANLF68WBs3blRoaKjatm2rzMxMbd++XTk5OQoLC1Pz5s01b948tWjRoj7mBYCg\nEdAR8K5du7R27VqtWLFCK1asUGVlpQoKCpSRkaHs7Gzl5+crMTFRubm59TUvAASNgALcuXNn5efn\nKzQ0VJLUqlUrVVVVKSEhQW3atJEkDR06VIWFhQEPCgDBJqAAN2rUSE2bNpUkHTt2TO+//75qamoU\nExPjXyc2NlZlZWWBTQkAQahefgl38OBBPf/888rKylJ8fPw1y51z9fE0ABBUAg7wgQMHNHHiRM2f\nP1+PPfaY4uLi5PP5/Mt9Pt91owwAd7uAAnzx4kW98MILys3NVefOnSVJSUlJOnnypA4fPixJWr16\ntVJTUwOfFACCTECXoa1du1Znz57VnDlz/Pf16tVL8+fPV3p6urxer6Kjo5WVlRXwoAAQbAIK8IgR\nIzRixIjrLktJSQlk0wAQ9PgkHAAYIcAAYIQAA4ARAgwARggwABghwABghAADgBECDABGCDAAGCHA\nAGCEAAOAEQIMAEYIMAAYIcAAYIQAA4ARAgwARggwABghwABghAADgBECDABGCDAAGCHAAGCEAAOA\nEQIMAEYIMAAYIcAAYMRrPQDubFeuXNEXX3xuPUbQe+CBDvJ6+esabNijCMgXX3yuKQtWKyIyznqU\noFV1tlQLpw3Tgw8+ZD0K6hkBRsAiIuPULPp+6zGAOw7ngAHACAEGACMEGACMEGAAMEKAAcAIAQYA\nIwQYAIwQYAAwQoABwAgBBgAjBBgAjBBgADBCgAHACAEGACMEGACMEGAAMEKAAcAIAQYAIwQYAIwQ\nYAAwQoABwAgBBgAjBBgAjBBgADBCgAHACAEGACPehtrw4sWLtXHjRnm9XiUnJ2vGjBnyeDw3XP/g\nwU8bahT80wMPdJDX22C7HMB/qEH+Nu7bt09r1qxRQUGBwsPDNXbsWL377rt64oknbviYKQtWKyIy\nriHGgaSqs6VaOG2YHnzwIetRAPxTgwR4y5YtSk1NVZMmTSRJQ4YMUWFh4U0DHBEZp2bR9zfEOABw\nW2qQAJeXl6tTp07+27GxsSorK7vpY6rOljbEKPinhnx/2XcNi313Z7qV9/a2OSG48+0s6xFQBzEx\nPbSzTw/rMVAH7Dt7DXIVxL333iufz+e/XVpaqvvuu68hngoA7lgNEuD+/ftr06ZNunTpkq5evaq1\na9dq4MCBDfFUAHDHapBTEN/5znc0cuRIpaWlKSQkRCkpKerXr19DPBUA3LE8zjlnPQQA3I34JBwA\nGCHAAGCEAAOAEQIMM6tWrdILL7xgPQZghgADgJE6X4ZWU1OjWbNmad++fYqNjVV8fLwiIyP1xhtv\naOTIkaqqqlJmZqYWL16sTZs2KTw8XLGxsZo1a5YiIiLUqVMn7du3T+Hh4dq6datee+015eXlKS0t\nTYmJiTp48KC+/PJLjRo1SqNHj77hHNXV1crIyFB5ebkuXbqkrl27asaMGXV9WXeF22XfSdL58+c1\ndepUlZSUKDIyUgsXLlRERMR/6Z2489wu+66mpkavvPKK9u3bJ4/Ho9GjR2vYsGH/xXciONT5CPij\njz7S/v37VVBQoAULFmjLli2SpIsXL+rRRx9VZmamiouL9be//U1Lly5VXl6emjVrpqVLl/7bbV+4\ncEFLlizRm2++qUWLFun8+fM3XLe8vFwpKSnKy8tTQUGBNm/erM8++6yuL+uucLvsO0k6cOCAZs6c\nqZUrVyo8PFxr1qypl9cYrG6Xfbd27VqVl5eroKBAr732mtasWaPLly/X2+u8W9Q5wIcOHVKXLl3k\n9XrVtGlT9erVy7+sa9eukqQ9e/aoe/fuCgsLkyT17NlTxcXF/3bb//rQRlRUlO677z4dO3bshuvG\nxMTok08+0ciRI/XDH/5Qp06d0pkzZ+r6su4Kt8u+k6SkpCQ1a9ZMktSlSxd98cUXdXpNd4vbZd/t\n3btX3bp1kyS1aNFCb7zxhv/5cOsCOgVxoy9YDw0Nve79zjmFhFzb/K+//vqa9f7vn2/2Re5vvvmm\nzp8/r/z8fIWEhOiZZ565lfHvarfLvpNUa/mtrH+3u132ncfjEZ/hClydj4DbtWun/fv3yzmnixcv\nqqio6Jp1unTpoh07dvh/NNm2bZs6d+4s6Zt/NU+ePClJ1zx2+/btkqRTp07J5/Opbdu2N5yjoqJC\nCQkJCgkJ0Z49e3TixAl+FPo3bpd9J0n79+9XZWWlJGn37t21vsYU17pd9t0jjzyiDz74QM45Xbp0\nSSNGjFBVVVV9vMS7Sp2PgPv166d169bpueeeU3x8vB555BE1atSo1jpJSUkaNmyYxowZo0aNGqlN\nmzYaM2aMJGncuHEaP3682rZtq+Tk5Gu2/8tf/lLHjh3Tiy++qKZNm95wjuHDh2vatGnatWuXunbt\nqrFjx2rOnDlavny5oqKi6vrygtrtsu8k6eGHH9bMmTNVUlKiqKgoffe7362/FxqEbpd9N2TIEO3d\nu1ejRo3S1atXNWrUKH55Wheujs6fP+/eeustV1NT45xzbuzYse6dd96p6+b8xowZ47Zs2RLwdnBj\n7Ls7F/suuNT5CDgiIkJ79uxRXl6ewsLC9MADD9z0vxwKxLvvvqs//elP1132hz/8gX95/0PsuzsX\n+y648G1oAGCET8IBgBECDABGCDAAGCHAAGCEAAOAEQIMAEYIMAAY+V8baZVLVgjReAAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# view all style examples\n",
    "names = ['group_a', 'group_b', 'group_c']\n",
    "values = [1, 10, 100]\n",
    "\n",
    "for i in range(len(ls_style)):\n",
    "    st = ls_style[i]\n",
    "    plt.style.use(st)\n",
    "    \n",
    "    plt.figure(figsize=(5, 5))\n",
    "    plt.bar(names, values)\n",
    "    plt.title(st)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Nguồn tham khảo:** https://matplotlib.org/tutorials/index.html"
   ]
  }
 ],
 "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": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}