leetcode 【 Unique Paths II 】 python 实现

题目：

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.

代码：oj测试通过 Runtime: 48 ms

 class Solution:
     # @param obstacleGrid, a list of lists of integers
     # @return an integer
     def uniquePathsWithObstacles(self, obstacleGrid):
         # ROW & COL
         ROW = len(obstacleGrid)
         COL = len(obstacleGrid[0])
         # one row case
         if ROW==1:
             for i in range(COL):
                 if obstacleGrid[0][i]==1:
                     return 0
             return 1
         # one column case
         if COL==1:
             for i in range(ROW):
                 if obstacleGrid[i][0]==1:
                     return 0
             return 1
         # visit normal case
         dp = [[0 for i in range(COL)] for i in range(ROW)]
         for i in range(COL):
             if obstacleGrid[0][i]!=1:
                 dp[0][i]=1
             else:
                 break
         for i in range(ROW):
             if obstacleGrid[i][0]!=1:
                 dp[i][0]=1
             else:
                 break
         # iterator the other nodes
         for row in range(1,ROW):
             for col in range(1,COL):
                 if obstacleGrid[row][col]==1:
                     dp[row][col]=0
                 else:
                     dp[row][col]=dp[row-1][col]+dp[row][col-1]

         return dp[ROW-1][COL-1]

思路：

思路模仿Unique Path这道题：

http://www.cnblogs.com/xbf9xbf/p/4250359.html

只不过多了某些障碍点；针对障碍点，加一个判断条件即可：如果遇上障碍点，那么到途径这个障碍点到达终点的可能路径数为0。然后继续迭代到尾部即可。

个人感觉40行的python脚本不够简洁，总是把special case等单独拎出来。后面再练习代码的时候，考虑如何让代码更简洁。