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.
思考:障碍物处dp[i][j]=0。
class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int> > &obstacleGrid) {
int m=obstacleGrid.size();
int n=obstacleGrid[0].size();
int dp[100][100];
memset(dp,0,sizeof(dp));
int i,j;
for(i=0;i<m;i++)
{
for(j=0;j<n;j++)
{
if(obstacleGrid[i][j]==1) dp[i][j]=0;
else if(i==0&&j==0) dp[i][j]=1;
else if(i==0) dp[i][j]=dp[i][j-1];
else if(j==0) dp[i][j]=dp[i-1][j];
else dp[i][j]=dp[i-1][j]+dp[i][j-1];
}
}
return dp[m-1][n-1];
}
};