| | | 1 | | // -------------------------------------------------------------------------------- |
| | | 2 | | // Copyright (C) 2025 Eugene Eremeev (also known as Yevhenii Yeriemeieiv). |
| | | 3 | | // All Rights Reserved. |
| | | 4 | | // -------------------------------------------------------------------------------- |
| | | 5 | | // This software is the confidential and proprietary information of Eugene Eremeev |
| | | 6 | | // (also known as Yevhenii Yeriemeieiv) ("Confidential Information"). You shall not |
| | | 7 | | // disclose such Confidential Information and shall use it only in accordance with |
| | | 8 | | // the terms of the license agreement you entered into with Eugene Eremeev (also |
| | | 9 | | // known as Yevhenii Yeriemeieiv). |
| | | 10 | | // -------------------------------------------------------------------------------- |
| | | 11 | | |
| | | 12 | | namespace LeetCode.Algorithms.PerfectSquares; |
| | | 13 | | |
| | | 14 | | /// <inheritdoc /> |
| | | 15 | | public class PerfectSquaresIterative : IPerfectSquares |
| | | 16 | | { |
| | | 17 | | /// <summary> |
| | | 18 | | /// Time complexity - O(n sqrt(n)) |
| | | 19 | | /// Space complexity - O(n) |
| | | 20 | | /// </summary> |
| | | 21 | | /// <param name="n"></param> |
| | | 22 | | /// <returns></returns> |
| | | 23 | | public int NumSquares(int n) |
| | 3 | 24 | | { |
| | 3 | 25 | | var dp = new int[n + 1]; |
| | | 26 | | |
| | 68 | 27 | | for (var i = 0; i <= n; i++) |
| | 31 | 28 | | { |
| | 31 | 29 | | dp[i] = int.MaxValue; |
| | 31 | 30 | | } |
| | | 31 | | |
| | 3 | 32 | | dp[0] = 0; |
| | | 33 | | |
| | 62 | 34 | | for (var i = 1; i <= n; i++) |
| | 28 | 35 | | { |
| | 168 | 36 | | for (var j = 1; j * j <= i; j++) |
| | 56 | 37 | | { |
| | 56 | 38 | | dp[i] = Math.Min(dp[i], dp[i - (j * j)] + 1); |
| | 56 | 39 | | } |
| | 28 | 40 | | } |
| | | 41 | | |
| | 3 | 42 | | return dp[n]; |
| | 3 | 43 | | } |
| | | 44 | | } |