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.
Easy DP problem, pay attention to the initial state, I make a mistake on that the first time writing the code.
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 < n; i++) {
if(obstacleGrid[0][i] == 1)
dp[i] = 0;
else
dp[i] = (i == 0 ? 1 : dp[i-1]);
}
for(int i = 1; i < m; i++) {
for(int j = 0; j < n; j++) {
if(obstacleGrid[i][j] == 1)
dp[j] = 0;
else
dp[j] = dp[j] + (j == 0 ? 0 : dp[j-1]);
}
}
return dp[n-1];
}
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