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(leetcode)Unique Paths II

时间:2015-09-06 17:52:45      阅读:159      评论:0      收藏:0      [点我收藏+]

Follow up for "Unique Paths":

Now consider if some obstacles are added to the grids. How many unique paths would there be?

An obstacle and empty space is marked as 1 and 0 respectively in the grid.

For example,

There is one obstacle in the middle of a 3x3 grid as illustrated below.

[
  [0,0,0],
  [0,1,0],
  [0,0,0]
]

The total number of unique paths is 2.

Note: m and n will be at most 100.

 

 1 class Solution {
 2 public:
 3     int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
 4         int m = obstacleGrid.size();
 5         int n = obstacleGrid[0].size();
 6         vector<vector<int>> dp(m, vector<int>(n, 1));
 7         for(int i = 0;i < m;++i)
 8         {
 9             for(int j = 0; j < n;++j)
10             {
11                 if(obstacleGrid[i][j] == 1) 
12                 {
13                     dp[i][j] = 0;
14                     continue;
15                 }
16                 if(i == 0 && j == 0) dp[i][j] = 1;
17                 else if(i == 0) dp[i][j] = dp[i][j-1];
18                 else if(j == 0) dp[i][j] = dp[i-1][j];
19                 else
20                     dp[i][j] = dp[i-1][j] + dp[i][j-1];
21             }
22         }
23         return dp[m-1][n-1];
24     }
25 };

 

(leetcode)Unique Paths II

原文:http://www.cnblogs.com/chdxiaoming/p/4786402.html

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