{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "88569b94",
   "metadata": {},
   "source": [
    "## Fusionner des tableaux triés\n",
    "\n",
    "- PRECOND: `a` et `b` sont deux tableaux d'entiers triés\n",
    "- POSTCOND: le tableau retourné est la fusion triée de `a` et `b`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3bcbad47",
   "metadata": {},
   "outputs": [],
   "source": [
    "from utils import *\n",
    "\n",
    "def merge_sorted_arrays(a: IntArray, b: IntArray) -> IntArray:\n",
    "    \"\"\" Retourne le tableau obtenu par fusion des tableaux triés a et b \"\"\"\n",
    "    c = newIntArray(a.size + b.size)\n",
    "\n",
    "    i: int = 0  # index in array a\n",
    "    j: int = 0  # index in array b\n",
    "\n",
    "    # invariants:\n",
    "    # - les éléments de c[0..k] sont ceux de a[0..i] et b[0..j]\n",
    "    # - c[0..k] est trié\n",
    "    for k in range(c.size):\n",
    "        if i < a.size and (j >= b.size or a[i] <= b[j]):\n",
    "            c[k] = a[i]\n",
    "            i += 1\n",
    "        else:\n",
    "            c[k] = b[j]\n",
    "            j += 1\n",
    "\n",
    "    return c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "113b7f89",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = newExplicitIntArray([-5, 0, 3, 8, 19, 123, 2891])\n",
    "b = newExplicitIntArray([-3, -1, 1, 2, 4, 5, 6, 10, 13])\n",
    "#b = newExplicitIntArray([])\n",
    "c = merge_sorted_arrays(a, b)\n",
    "print(c)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "defaultInterpreterPath: 3.14.8.final.0",
   "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": "3.14.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}