Question
http://www.lintcode.com/en/problem/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.
Example
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.
Answer
class Solution { public: /* * @param obstacleGrid: A list of lists of integers * @return: An integer */ int uniquePathsWithObstacles(vector<vector<int>> &obstacleGrid) { int m = obstacleGrid.size(); if (m <= 0) return 0; int n = obstacleGrid[0].size(); if (obstacleGrid[0][0] == 1 || obstacleGrid[m-1][n-1] == 1) return 0; vector<vector<int>> res(m, vector<int>(n, 0)); res[0][0] = 1; for (int j = 1; j < n; j++) { if (obstacleGrid[0][j] == 1) { for (int i = j; i < n; i++) res[0][i] = 0; break; } else res[0][j] = 1; } for (int j = 1; j < m; j++) { if (obstacleGrid[j][0] == 1) { for (int i = j; i < m; i++) res[i][0] = 0; break; } else { res[j][0] = 1; } } for (int i = 1; i < m; i++) { for (int j = 1; j < n; j++) { if (obstacleGrid[i][j] == 1) res[i][j] = 0; else res[i][j] = res[i-1][j] + res[i][j-1]; } } return res[m-1][n-1]; } };
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