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.
代码语言:javascript复制[
[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.
和62题一致,在转移的时候加一个特判条件,只有是空地的时候才转移。
https://cloud.tencent.com/developer/article/1019268
代码语言:javascript复制class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
if(obstacleGrid.size()==0) return 0;
vector<int> row(obstacleGrid[0].size() 1,0);
vector<vector<int>> dp(obstacleGrid.size() 1,row);
dp[0][1]=1;
for(int i=1;i<=obstacleGrid.size();i )
for(int j=1;j<=obstacleGrid[0].size();j )
if(obstacleGrid[i-1][j-1]==0)
dp[i][j]=dp[i-1][j] dp[i][j-1];
return dp[obstacleGrid.size()][obstacleGrid[0].size()];
}
};