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.
class Solution { public: int uniquePathsWithObstacles(vector<vector<int> > &obstacleGrid) { if (obstacleGrid.empty() || obstacleGrid[0].empty()) return 0; vector<int> path(obstacleGrid[0].size()); path[0] = 1; for (int i=0; i<obstacleGrid.size(); i++) { for (int j=0; j<path.size(); j++) { if (obstacleGrid[i][j]) path[j] = 0; else if (j) path[j] += path[j-1]; } } return path[path.size()-1]; } };
原文地址:http://blog.csdn.net/elton_xiao/article/details/44874383