leetcode

63.不同路径II

力扣链接

动态规划

class Solution {
public:
    int uniquePathsWithObstacles(std::vector<std::vector<int>>& obstacleGrid) {   
        int m = obstacleGrid.size(), n= obstacleGrid[0].size();
        if (obstacleGrid[0][0]==1||obstacleGrid[m-1][n-1]==1) return 0;
        std::vector<std::vector<int>> dp(m, std::vector<int>(n,0));
        // 一旦obs[i][0]=0,for循环终止。对于for(1;2;3)里判断条件2是if而非while语句
        for (int i=0;i<m && obstacleGrid[i][0]==0;i++) dp[i][0]=1;
        for (int j=0;j<n && obstacleGrid[0][j]==0;j++) dp[0][j]=1;

        for (int i=1;i<m;i++)
            for (int j=1;j<n;j++)
                if (obstacleGrid[i][j]==0) dp[i][j] = dp[i-1][j]+dp[i][j-1];
                // 等价于if (obstacleGrid[i][j]==1) continue; dp[i][j] = dp[i-1][j]+dp[i][j-1];
        return dp[m-1][n-1];
    }
};

动态规划—空间优化