/** * File: two_sum.java * Created Time: 2022-11-25 * Author: krahets (krahets@163.com) */ package chapter_searching; import java.util.*; public class two_sum { /* Method one: Brute force enumeration */ static int[] twoSumBruteForce(int[] nums, int target) { int size = nums.length; // Two-layer loop, time complexity is O(n^2) for (int i = 0; i < size - 1; i++) { for (int j = i + 1; j < size; j++) { if (nums[i] + nums[j] == target) return new int[] { i, j }; } } return new int[0]; } /* Method two: Auxiliary hash table */ static int[] twoSumHashTable(int[] nums, int target) { int size = nums.length; // Auxiliary hash table, space complexity is O(n) Map dic = new HashMap<>(); // Single-layer loop, time complexity is O(n) for (int i = 0; i < size; i++) { if (dic.containsKey(target - nums[i])) { return new int[] { dic.get(target - nums[i]), i }; } dic.put(nums[i], i); } return new int[0]; } public static void main(String[] args) { // ======= Test Case ======= int[] nums = { 2, 7, 11, 15 }; int target = 13; // ====== Driver Code ====== // Method one int[] res = twoSumBruteForce(nums, target); System.out.println("Method one res = " + Arrays.toString(res)); // Method two res = twoSumHashTable(nums, target); System.out.println("Method two res = " + Arrays.toString(res)); } }