/** * File: two_sum.cs * Created Time: 2022-12-23 * Author: haptear (haptear@hotmail.com) */ namespace hello_algo.chapter_searching; public class two_sum { /* Method one: Brute force enumeration */ 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 [i, j]; } } return []; } /* Method two: Auxiliary hash table */ int[] TwoSumHashTable(int[] nums, int target) { int size = nums.Length; // Auxiliary hash table, space complexity is O(n) Dictionary dic = []; // Single-layer loop, time complexity is O(n) for (int i = 0; i < size; i++) { if (dic.ContainsKey(target - nums[i])) { return [dic[target - nums[i]], i]; } dic.Add(nums[i], i); } return []; } [Test] public void Test() { // ======= Test Case ======= int[] nums = [2, 7, 11, 15]; int target = 13; // ====== Driver Code ====== // Method one int[] res = TwoSumBruteForce(nums, target); Console.WriteLine("Method one result = " + string.Join(", ", res)); // Method two res = TwoSumHashTable(nums, target); Console.WriteLine("Method two result = " + string.Join(", ", res)); } }