题目

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.

思路

本题和上一篇博客Unique Paths很类似,唯一区别就是,当遇到当前位置为1,需要将res[j]清0.

代码

class Solution {
public:
    int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
        int n = obstacleGrid[0].size(),m = obstacleGrid.size();
        if(m==0||m==0)
            return 0;       
        vector<int> res(n,0);
        res[0] = 1;
        for(int i=0;i<m;i++)
            for(int j=0;j<n;j++)
            {
                if(obstacleGrid[i][j]==1)
                    res[j] =0;
                else 
                {
                    if(j>=1)
                       res[j] += res[j-1]; 

                }
            }
        return res[n-1];
    }
};