Floyd（弗洛伊德）算法总结

知识概览

例题展示

题目链接

活动 - AcWing 系统讲解常用算法与数据结构，给出相应代码模板，并会布置、讲解相应的基础算法题目。https://www.acwing.com/problem/content/856/

题解

代码

#include <cstring>
#include <iostream>
#include <algorithm>

using namespace std;

const int N = 210, INF = 1e9;

int n, m, Q;
int d[N][N];

void floyd()
{
    for (int k = 1; k <= n; k++)
        for (int i = 1; i <= n; i++)
            for (int j = 1; j <= n; j++)
                d[i][j] = min(d[i][j], d[i][k] + d[k][j]);
}

int main()
{
    scanf("%d%d%d", &n, &m, &Q);
    
    for (int i = 1; i <= n; i++)
        for (int j = 1; j <= n; j++)
            if (i == j) d[i][j] = 0;
            else d[i][j] = INF;
            
    while (m--)
    {
        int a, b, w;
        scanf("%d%d%d", &a, &b, &w);
        
        d[a][b] = min(d[a][b], w);
    }
    
    floyd();
    
    while (Q--)
    {
        int a, b;
        scanf("%d%d", &a, &b);
        
        if (d[a][b] > INF / 2) puts("impossible");
        else printf("%d\n", d[a][b]);
    }
    
    return 0;
}

参考资料

1. AcWing算法基础课