2023-9-2 Prim算法求最小生成树

题目链接：Prim算法求最小生成树

#include 
#include 
#include 

using namespace std;

const int N = 510, INF = 0x3f3f3f3f;

int n, m;
int g[N][N];
int dist[N];
bool st[N];

int prim()
{
    memset(dist, 0x3f, sizeof dist);
    
    int res = 0;
    for(int i = 0; i < n; i++)
    {
        int t = -1;
        for(int j = 1; j <= n; j++)
            if(!st[j] && (t == -1 || dist[t] > dist[j]))
                t = j;
        if(i && dist[t] == INF) return INF;
        if(i) res += dist[t];
        for(int j = 1; j <= n; j ++) dist[j] = min(dist[j], g[t][j]);
        st[t] = true;
    }
    return res;
}

int main()
{
    cin >> n >> m;
    memset(g, 0x3f, sizeof g);
    
    for(int i = 0; i < m; i++)
    {
        int a, b, c;
        cin >> a >> b >> c;
        g[a][b] = g[b][a] = min(g[a][b], c);
    }
    
    int t = prim();
    if(t == INF) cout << "impossible" << endl;
    else cout << t << endl;
    
    return 0;
}