{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "551a4ae6",
   "metadata": {},
   "source": [
    "# Algorithms\n",
    "\n",
    "This chapter introduces algorithm foundations using a simple input-process-output model.\n",
    "\n",
    "**Learning Goals**\n",
    "- Explain an algorithm using input, process, and output\n",
    "- Identify sequence, decision, and repetition in algorithm steps\n",
    "- Connect efficiency to Big O growth trends\n",
    "- Apply a small design checklist before coding\n",
    "- Prepare for search and sorting notebooks"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b371478e",
   "metadata": {},
   "source": [
    "```{toggle}\n",
    "The concept of computer algorithm may be represented as the flowchart below. \n",
    "\n",
    "```text\n",
    "         INPUT\n",
    "           \u2502\n",
    "           \u25bc\n",
    "    \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n",
    "    \u2502   STEP  1    \u2502\n",
    "    \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n",
    "           \u2502\n",
    "           \u25bc\n",
    "    \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n",
    "    \u2502   STEP  2    \u2502\n",
    "    \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n",
    "           \u2502\n",
    "           \u25bc\n",
    "    \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510        \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n",
    "    \u2502   STEP  3    \u2502\u2500\u2500YES\u2500\u2500\u25b6\u2502  DO  THIS   \u2502\n",
    "    \u2502  condition?  \u2502        \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n",
    "    \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n",
    "           \u2502 NO\n",
    "           \u25bc\n",
    "    \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n",
    "    \u2502   STEP  4    \u2502\u25c0\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n",
    "    \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518              \u2502\n",
    "           \u2502                      \u2502\n",
    "           \u25bc                      \u2502\n",
    "    \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510              \u2502\n",
    "    \u2502   loop?      \u2502\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n",
    "    \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n",
    "           \u2502 done\n",
    "           \u25bc\n",
    "         OUTPUT\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "563f7cfc",
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 550x550 with 14 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "Source: <a href='https://x.com/algomaster_io/status/2053806932423795081' target='_blank'>7 must-know Big-O Complexities</a>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as mpatches\n",
    "import math\n",
    "\n",
    "n = np.linspace(1, 10, 300)\n",
    "\n",
    "def norm(y):\n",
    "    return y / y.max()\n",
    "\n",
    "n_factorial = norm(np.exp(np.array([math.lgamma(x + 1) for x in n])))\n",
    "\n",
    "BG     = \"#0a0a14\"\n",
    "CARD   = \"#111827\"\n",
    "BORDER = \"#1e90ff\"\n",
    "\n",
    "data = [\n",
    "    (\"O(1)\",       \"Constant Time\",       norm(np.ones_like(n)),\n",
    "     \"#00e676\", [\"Runtime does not change with input size\", \"Example: array index access\"]),\n",
    "    (\"O(log n)\",   \"Logarithmic Time\",    norm(np.log2(n)),\n",
    "     \"#ce93d8\", [\"Problem size halves each step\", \"Example: binary search\"]),\n",
    "    (\"O(n)\",       \"Linear Time\",         norm(n),\n",
    "     \"#29b6f6\", [\"Work grows directly with input size\", \"Example: scanning an array\"]),\n",
    "    (\"O(n log n)\", \"Linearithmic Time\",   norm(n * np.log2(n)),\n",
    "     \"#00e676\", [\"Linear work with logarithmic steps\", \"Example: merge sort / quicksort\"]),\n",
    "    (\"O(n\u00b2)\",      \"Quadratic Time\",      norm(n ** 2),\n",
    "     \"#f06292\", [\"Work grows with square of input\", \"Example: nested loops / bubble sort\"]),\n",
    "    (\"O(2\u207f)\",      \"Exponential Time\",    norm(2.0 ** n),\n",
    "     \"#ffb74d\", [\"Work doubles with each new element\", \"Example: generating subsets\"]),\n",
    "    (\"O(n!)\",      \"Factorial Time\",      n_factorial,\n",
    "     \"#ef5350\", [\"Explodes for even small inputs\", \"Example: generating permutations\"]),\n",
    "]\n",
    "\n",
    "fig, axes = plt.subplots(\n",
    "    7, 2, figsize=(5.5, 5.5),\n",
    "    gridspec_kw={\"width_ratios\": [1, 2.4], \"wspace\": 0.0, \"hspace\": 0.0},\n",
    ")\n",
    "fig.patch.set_facecolor(BG)\n",
    "plt.subplots_adjust(left=0.04, right=0.99, top=0.955, bottom=0.02)\n",
    "\n",
    "for i, (label, title, y, color, bullets) in enumerate(data):\n",
    "    ax_bg, ax_t = axes[i]\n",
    "\n",
    "    # Transparent axes \u2014 card bg drawn via figure-level FancyBboxPatch\n",
    "    for ax in (ax_bg, ax_t):\n",
    "        ax.set_facecolor(\"none\")\n",
    "        ax.set_xticks([])\n",
    "        ax.set_yticks([])\n",
    "        for spine in ax.spines.values():\n",
    "            spine.set_visible(False)\n",
    "\n",
    "    # Inset plot inside the left panel\n",
    "    ax_p = ax_bg.inset_axes([0.25, 0.21, 0.54, 0.54])\n",
    "    inset_bg = mpatches.FancyBboxPatch(\n        (0.25, 0.21), 0.54, 0.54,\n        boxstyle=\"round,pad=0,rounding_size=0.05\",\n        linewidth=0, facecolor=CARD,\n        transform=ax_bg.transAxes, clip_on=True, zorder=0,\n    )\n    ax_bg.add_patch(inset_bg)\n",
    "    ax_p.plot(n, y, color=color, linewidth=1.8)\n",
    "    ax_p.set_xticks([])\n",
    "    ax_p.set_yticks([])\n",
    "    ax_p.set_xlabel(\"Input Size\", fontsize=6, color=\"white\", labelpad=1)\n",
    "    ax_p.set_ylabel(\"Time\", fontsize=6, color=\"white\", labelpad=1)\n",
    "    ax_p.set_facecolor(CARD)\n",
    "    ax_p.spines[\"top\"].set_visible(False)\n",
    "    ax_p.spines[\"right\"].set_visible(False)\n",
    "    ax_p.spines[\"bottom\"].set_color(\"white\")\n",
    "    ax_p.spines[\"bottom\"].set_linewidth(0.8)\n",
    "    ax_p.spines[\"left\"].set_color(\"white\")\n",
    "    ax_p.spines[\"left\"].set_linewidth(0.8)\n",
    "    ax_p.text(0.97, 0.95, label, transform=ax_p.transAxes,\n",
    "              fontsize=7, color=color, ha=\"right\", va=\"top\", fontweight=\"bold\")\n",
    "\n",
    "    # Right text panel\n",
    "    ax_t.text(0.04, 0.82, f\"{label}  \u2014  {title}\",\n",
    "              fontsize=9, fontweight=\"bold\", color=color,\n",
    "              va=\"top\", transform=ax_t.transAxes)\n",
    "    for j, bullet in enumerate(bullets):\n",
    "        ax_t.text(0.04, 0.50 - j * 0.23, f\"\u2022 {bullet}\",\n",
    "                  fontsize=7, va=\"top\", color=\"white\",\n",
    "                  transform=ax_t.transAxes)\n",
    "\n",
    "# Draw rounded card borders in figure coordinates (rendered behind axes)\n",
    "R = 0.012   # rounding radius in figure fraction\n",
    "GAP = 0.003  # visual gap between adjacent card rows\n",
    "for i in range(7):\n",
    "    ax_bg, ax_t = axes[i]\n",
    "    pos_l = ax_bg.get_position()\n",
    "    pos_r = ax_t.get_position()\n",
    "    rect = mpatches.FancyBboxPatch(\n",
    "        (pos_l.x0, pos_l.y0 + GAP),\n",
    "        pos_r.x1 - pos_l.x0,\n",
    "        pos_l.height - 2 * GAP,\n",
    "        boxstyle=f\"round,pad=0,rounding_size={R}\",\n",
    "        linewidth=1.2, edgecolor=BORDER, facecolor=CARD,\n",
    "        transform=fig.transFigure, clip_on=False, zorder=-1,\n",
    "    )\n",
    "    fig.add_artist(rect)\n",
    "\n",
    "fig.suptitle(\"Big-O Complexities\", fontsize=13,\n",
    "             fontweight=\"bold\", color=\"white\")\n",
    "plt.show()\n",
    "\n",
    "from IPython.display import HTML, display\n",
    "\n",
    "display(HTML(\n",
    "    \"Source: <a href='https://x.com/algomaster_io/status/2053806932423795081' \"\n",
    "    \"target='_blank'>7 must-know Big-O Complexities</a>\"\n",
    "))\n",
    "# print(\"Source: <a href='https://x.com/algomaster_io/status/2053806932423795081' target='_blank'>7 must-know Big-O complexities</a>\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1f33d49a",
   "metadata": {},
   "source": [
    "## Big-O Complexity Overview\n",
    "\n",
    "The chart below summarizes the seven most common Big-O growth rates, from fastest to slowest."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98075734",
   "metadata": {},
   "source": [
    "<h2>Chapter flow</h2>\n",
    "\n",
    "```{tableofcontents}\n",
    "```"
   ]
  }
 ],
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