如何在C++中删除O(n)中的结合NxN矩阵的行和列？

#include <iostream>
#include <vector>

void deleteRowAndColumn(std::vector<std::vector<int>>& matrix) {
    int n = matrix.size();
    std::vector<bool> deleteRow(n, false);
    std::vector<bool> deleteColumn(n, false);

    // 标记需要删除的行和列
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            if (matrix[i][j] == 0) {
                deleteRow[i] = true;
                deleteColumn[j] = true;
            }
        }
    }

    // 删除标记为true的行和列
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            if (deleteRow[i] || deleteColumn[j]) {
                matrix[i][j] = 0;
            }
        }
    }
}

int main() {
    std::vector<std::vector<int>> matrix = {{1, 2, 3}, {4, 0, 6}, {7, 8, 9}};

    std::cout << "原始矩阵：" << std::endl;
    for (const auto& row : matrix) {
        for (int num : row) {
            std::cout << num << " ";
        }
        std::cout << std::endl;
    }

    deleteRowAndColumn(matrix);

    std::cout << "删除行和列后的矩阵：" << std::endl;
    for (const auto& row : matrix) {
        for (int num : row) {
            std::cout << num << " ";
        }
        std::cout << std::endl;
    }

    return 0;
}