原题地址:https://oj.leetcode.com/problems/unique-paths-ii/
题意:
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 3×3 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:这道题是设置了障碍的,也是用动态规划解决。
代码:
class Solution: # @param obstacleGrid, a list of lists of integers # @return an integer def uniquePathsWithObstacles(self, obstacleGrid): m = len(obstacleGrid); n = len(obstacleGrid[0]) res = [[0 for i in range(n)] for j in range(m)] for i in range(m): if obstacleGrid[i][0] == 0: res[i][0] = 1 else: res[i][0] == 0 break for i in range(n): if obstacleGrid[0][i] == 0: res[0][i] = 1 else: res[0][i] = 0 break for i in range(1, m): for j in range(1, n): if obstacleGrid[i][j] == 1: res[i][j] = 0 else: res[i][j] = res[i-1][j] + res[i][j-1] return res[m-1][n-1]