算法分析与设计丨第十六周丨LeetCode（20）——Unique Paths II（Medium）

题目描述：

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.
题目解析：
动态规划。最开始的时候想的太复杂了，各种边界条件设置，后来看了别人的博客，发现其实和Unique Paths的判定条件一样，所以说有的时候不能想的太复杂。

class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
int m = obstacleGrid.size();
int n = obstacleGrid[0].size();
vector<vector<int> > path(m,vector<int>(n,0));

for(int i = 0;i < m;++i)
{
for(int j = 0;j < n;j++)
{
if(obstacleGrid[i][j] == 1)
path[i][j] = 0;
else if(i == 0 && j == 0)
path[i][j] = 1;
else if(i == 0 && j > 0)
path[i][j] = path[i][j-1];
else if(i > 0 && j == 0)
path[i][j] = path[i-1][j];
else
path[i][j] = path[i-1][j] + path[i][j-1];
}
}

return path[m-1][n-1];

}
};