LeetCode 63. Unique Paths II
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.
和上一题一样的思路,每次需要判断一下当前位置是否可走就可以了。
class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int>>& obstacleGrid) {
vector<vector<int>> dp(obstacleGrid.size()+1, vector<int>(obstacleGrid[0].size()+1, 0));
if(obstacleGrid[0][0] == 0)
dp[1][1] = 1;
for(int i=1; i<obstacleGrid.size()+1; ++ i)
{
for(int j=1; j<obstacleGrid[0].size()+1; ++ j)
{
if(i == 1 && j == 1)
continue;
if(obstacleGrid[i-1][j-1] == 0)
{
dp[i][j] = dp[i-1][j] + dp[i][j-1];
}
}
}
return dp[obstacleGrid.size()][obstacleGrid[0].size()];
}
};