第24129题 单选
下面Floyd算法程序的时间复杂度为( )

给出的Floyd算法C++实现代码如下:

#include <iostream>
using namespace std;

#define N 21
#define INF 99999999
int map[N][N];
int main() {
    int n, m, t1, t2, t3;
    cin >> n >> m;
    for (int i = 1; i <= n; i++) {
        if (i == j)
            map[i][j] = 0;
        else
            map[i][j] = INF;
    }
    for (int i = 1; i <= m; i++) {
        cin >> t1 >> t2 >> t3;
        map[t1][t2] = t3;
    }
    for (int k = 1; k <= n; k++)
        for (int i = 1; i <= n; i++)
            for (int j = 1; j <= n; j++)
                if (map[i][j] > map[i][k] + map[k][j])
                    ________; // 在此处填入更新语句
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= n; j++) {
            cout.width(4);
            cout << map[i][j];
        }
        cout << endl;
    }
}
A

$O(N)$

B

$O(N^2)$

C

$O(N^3)$

D

$O(N^2\log N)$

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