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[LeetCode] Unique Paths II

2012-11-15 21:29 387 查看
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.

同上题,稍作修改。

class Solution {
public:
int uniquePathsWithObstacles(vector<vector<int> > &obstacleGrid) {
// Start typing your C/C++ solution below
// DO NOT write int main() function
vector<vector<int> > f(obstacleGrid.size(), vector<int>(obstacleGrid[0].size()));

f[0][0] = obstacleGrid[0][0] == 1 ? 0 : 1;
for(int i = 1; i < f.size(); i++)
f[i][0] = obstacleGrid[i][0] == 1 ? 0 : f[i-1][0];

for(int i = 1; i < f[0].size(); i++)
f[0][i] = obstacleGrid[0][i] == 1 ? 0 : f[0][i-1];

for(int i = 1; i < f.size(); i++)
for(int j = 1; j < f[i].size(); j++)
f[i][j] = obstacleGrid[i][j] == 1 ? 0 : f[i-1][j] + f[i][j-1];

return f[f.size()-1][f[0].size()-1];
}
};
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