题解 | #矩阵的最小路径和#

矩阵的最小路径和

https://www.nowcoder.com/practice/7d21b6be4c6b429bb92d219341c4f8bb

class Solution {
public:
    int minPathSum(vector<vector<int> >& matrix) {
        int m = matrix.size(), n = matrix[0].size();
        vector<vector<int>> f(m, vector<int>(n));
        for (int i = 0; i < m; i++)
            if (i == 0) f[i][0] = matrix[i][0];
            else f[i][0] = f[i - 1][0] + matrix[i][0];
        for (int i = 0; i < n; i++)
            if (i == 0) f[0][i] = matrix[0][i];
            else f[0][i] = f[0][i - 1] + matrix[0][i];
        for (int i = 1; i < m; i++) {
            for (int j = 1; j < n; j++) {
                f[i][j] = matrix[i][j] + min(f[i][j - 1], f[i - 1][j]);
            }
        }
        return f[m - 1][n - 1];
    }
};

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