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.
Solution 1: when i==0 or j==0, if it s blocked then following will be 0 path as well. Pay attention the differences from Leetcode 62.
public class Solution {
public int uniquePathsWithObstacles(int[][] obstacleGrid) {
int m=obstacleGrid.length;
if (m==0) return 0;
int n=obstacleGrid[0].length;
if (n==0) return 0;
int[] dp= new int[n];
for (int i=0; i<m; i++) {
for (int j=0; j<n; j++) {
if (obstacleGrid[i][j]==1) dp[j]=0;
else if (i==0) {
if (j==0) dp[j]=1;
else dp[j]=dp[j-1];
}
else if (j==0) dp[j]=dp[j];
else dp[j]=dp[j-1]+dp[j];
}
}
return dp[n-1];
}
}
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