2 solutions

  • 0
    @ 2026-8-3 17:32:17

    最小生成树--prim算法

    #include<bits/stdc++.h>
    using namespace std;
    
    typedef long long ll;
    const ll N=1010;
    ll n,m;
    ll ret;
    ll dist[N];
    bool st[N];
    vector<pair<ll,ll>>edges[N];
    
    void prim()
    {
        memset(dist,0x3f3f,sizeof dist);
        dist[1]=0;
    
        for(int i=1;i<=n;i++)
        {
            ll t=0;
            for(int j=1;j<=n;j++)
            {
                if(dist[j]<dist[t] && !st[j])
                {
                    t=j;
                }
            }
    
            st[t]=true;
            ret+=dist[t];
            for(auto u:edges[t])
            {
                ll v=u.first;
                ll w=u.second;
                dist[v]=min(dist[v],dist[t]+w);
            }
        }
    }
    
    int main()
    {
        ios::sync_with_stdio(false);
        cin.tie(0);
    
        cin>>n>>m;
    
        for(ll i=1;i<=m;i++)
        {
            int u,v,w;
            cin>>u>>v>>w;
            edges[u].push_back({v,w});
            edges[v].push_back({u,w});
        }
    
        prim();
        cout<<ret<<"\n";
    
        return 0;
    }
    

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    Information

    ID
    23
    Time
    1000ms
    Memory
    256MiB
    Difficulty
    5
    Tags
    # Submissions
    7
    Accepted
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