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 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: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]