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LeetCode Unique Paths II

2015-03-28 00:07 183 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.
题意:就有有障碍的机器人路径个数。
思路:多了一个判断障碍的情况,其他的不变。

class Solution {
public:
    int uniquePathsWithObstacles(vector<vector<int> > &obstacleGrid) {
		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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