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62. Unique Paths

时间:2016-09-12 14:10:13      阅读:119      评论:0      收藏:0      [点我收藏+]

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A robot is located at the top-left corner of a m x n grid (marked ‘Start‘ in the diagram below).

The robot can only move either down or right at any point in time. The robot is trying to reach the bottom-right corner of the grid (marked ‘Finish‘ in the diagram below).

How many possible unique paths are there?

技术分享

Above is a 3 x 7 grid. How many possible unique paths are there?

Note: m and n will be at most 100.

 

动态规划

dp[i][j] = dp[i-1][j]+dp[i][j-1];

 1 class Solution {
 2 public:
 3     int uniquePaths(int m, int n) {
 4         int dp[m][n];
 5         
 6         for(int i = 0; i < m; i++){
 7             dp[i][0] = 1;
 8         }
 9         for(int j = 0; j < n; j++){
10             dp[0][j] = 1;
11         }
12         
13         for(int i=1;i<m;i++){
14             for(int j=1;j<n;j++){
15                 dp[i][j] = dp[i-1][j]+dp[i][j-1];
16             }
17         }
18         return dp[m-1][n-1];
19     }
20 };

 

62. Unique Paths

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原文地址:http://www.cnblogs.com/sankexin/p/5864475.html

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