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1 | 1 | package com.fishercoder.solutions;
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2 | 2 |
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3 |
| -/** |
4 |
| - * 62. Unique Paths |
5 |
| -
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6 |
| -A robot is located at the top-left corner of a m x n grid (marked 'Start' in the diagram below). |
7 |
| -The robot can only move either down or right at any point in time. The robot is trying to reach |
8 |
| -the bottom-right corner of the grid (marked 'Finish' in the diagram below). |
9 |
| -
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10 |
| -How many possible unique paths are there? |
11 |
| - */ |
12 | 3 | public class _62 {
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13 |
| - |
14 |
| - public static class Solution1 { |
15 |
| - /** |
16 |
| - * Another typical DP question, use a 2d array: the first row and the first column need to be |
17 |
| - * initialized to be 1 since there's only one way to reach every position in the first row and |
18 |
| - * the first column: either from left or top. |
19 |
| - */ |
20 |
| - public int uniquePaths(int m, int n) { |
21 |
| - int[][] dp = new int[m][n]; |
22 |
| - for (int i = 0; i < m; i++) { |
23 |
| - for (int j = 0; j < n; j++) { |
24 |
| - if (i == 0 || j == 0) { |
25 |
| - dp[i][j] = 1; |
26 |
| - } else { |
27 |
| - dp[i][j] = dp[i - 1][j] + dp[i][j - 1]; |
28 |
| - } |
| 4 | + public static class Solution1 { |
| 5 | + /** |
| 6 | + * Another typical DP question, use a 2d array: the first row and the first column need to be |
| 7 | + * initialized to be 1 since there's only one way to reach every position in the first row and |
| 8 | + * the first column: either from left or top. |
| 9 | + */ |
| 10 | + public int uniquePaths(int m, int n) { |
| 11 | + int[][] dp = new int[m][n]; |
| 12 | + for (int i = 0; i < m; i++) { |
| 13 | + for (int j = 0; j < n; j++) { |
| 14 | + if (i == 0 || j == 0) { |
| 15 | + dp[i][j] = 1; |
| 16 | + } else { |
| 17 | + dp[i][j] = dp[i - 1][j] + dp[i][j - 1]; |
| 18 | + } |
| 19 | + } |
| 20 | + } |
| 21 | + return dp[m - 1][n - 1]; |
29 | 22 | }
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30 |
| - } |
31 |
| - return dp[m - 1][n - 1]; |
32 | 23 | }
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33 |
| - } |
34 | 24 | }
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