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.
解题思路:
本题如果使用上题中的解法一,将会非常复杂,因此我们修改解法二即可,JAVA实现如下:
public int uniquePathsWithObstacles(int[][] obstacleGrid) { int[] v = new int[obstacleGrid[0].length]; for (int i = 0; i < v.length; i++) if (obstacleGrid[0][i] == 0) v[i] = 1; else break; for (int i = 1; i < obstacleGrid.length; i++) { if (obstacleGrid[i][0] == 1) v[0] = 0; for (int j = 1; j < v.length; j++) if (obstacleGrid[i][j] == 1) v[j] = 0; else v[j] += v[j - 1]; } return v[v.length - 1]; }