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]; }
没有评论:
发表评论