#4331. [GESP202503 八级 C++] 第 13 题

[GESP202503 八级 C++] 第 13 题

下面 Floyd 算法程序的时间复杂度为( )。

#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++) {
        for (int j = 1; j <= n; j++) {
            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])
                    ________; // 在此处填入选项
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= n; j++) {
            cout.width(4);
            cout << map[i][j];
        }
        cout << endl;
    }
}

{{ select(1) }}

  • O(N)O(N)
  • O(N2)O(N^2)
  • O(N3)O(N^3)
  • O(N2logN)O(N^2 \log N)