dev/democards/problems/problems/561.array-partition-i.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "Given an integer array `nums` of `2n` integers, group these integers into `n`\n",
    "pairs `(a1, b1), (a2, b2), ..., (an, bn)` such that the sum of `min(ai, bi)`\n",
    "for all `i` is **maximized**. Return _the maximized sum_.\n",
    "\n",
    "\n",
    "\n",
    "**Example 1:**\n",
    "\n",
    "\n",
    "\n",
    "    Input: nums = [1,4,3,2]\n",
    "    Output: 4\n",
    "    Explanation: All possible pairings (ignoring the ordering of elements) are:\n",
    "    1. (1, 4), (2, 3) -> min(1, 4) + min(2, 3) = 1 + 2 = 3\n",
    "    2. (1, 3), (2, 4) -> min(1, 3) + min(2, 4) = 1 + 2 = 3\n",
    "    3. (1, 2), (3, 4) -> min(1, 2) + min(3, 4) = 1 + 3 = 4\n",
    "    So the maximum possible sum is 4.\n",
    "\n",
    "**Example 2:**\n",
    "\n",
    "\n",
    "\n",
    "    Input: nums = [6,2,6,5,1,2]\n",
    "    Output: 9\n",
    "    Explanation: The optimal pairing is (2, 1), (2, 5), (6, 6). min(2, 1) + min(2, 5) + min(6, 6) = 1 + 2 + 6 = 9.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "**Constraints:**\n",
    "\n",
    "  * `1 <= n <= 104`\n",
    "  * `nums.length == 2 * n`\n",
    "  * `-104 <= nums[i] <= 104`"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "array_pair_sum (generic function with 1 method)"
     },
     "metadata": {},
     "execution_count": 1
    }
   ],
   "cell_type": "code",
   "source": [
    "# @lc code=start\n",
    "using LeetCode\n",
    "\n",
    "function array_pair_sum(nums::Vector{Int})\n",
    "    sort!(nums)\n",
    "    sum(nums[1:2:end])\n",
    "end\n",
    "# @lc code=end"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "---\n",
    "\n",
    "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*"
   ],
   "metadata": {}
  }
 ],
 "nbformat_minor": 3,
 "metadata": {
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.10.1"
  },
  "kernelspec": {
   "name": "julia-1.10",
   "display_name": "Julia 1.10.1",
   "language": "julia"
  }
 },
 "nbformat": 4
}