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