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  • Luogu4897 【模板】最小割树

      没事干写一发模板。

    #include<iostream> 
    #include<cstdio>
    #include<cmath>
    #include<cstdlib>
    #include<cstring>
    #include<algorithm>
    #include<map>
    using namespace std;
    int read()
    {
        int x=0,f=1;char c=getchar();
        while (c<'0'||c>'9') {if (c=='-') f=-1;c=getchar();}
        while (c>='0'&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
        return x*f;
    }
    #define N 510
    #define M 1600
    #define inf 1000000000
    int n,m,p[N],v[N],u[N],tot=0,t=-1;
    bool flag[N];
    int d[N],cur[N],q[N];
    struct data{int to,nxt,cap,flow;
    }edge[M<<1];
    map<int,bool> f;
    namespace tree
    {
        int p[N],fa[N],deep[N],len[N],t=0;
        struct data{int to,nxt,len;}edge[M<<1];
        void addedge(int x,int y,int z){t++;edge[t].to=y,edge[t].nxt=p[x],edge[t].len=z,p[x]=t;}
        void dfs(int k)
        {
            for (int i=p[k];i;i=edge[i].nxt)
            if (edge[i].to!=fa[k])
            {
                deep[edge[i].to]=deep[k]+1;
                fa[edge[i].to]=k;
                len[edge[i].to]=edge[i].len;
                dfs(edge[i].to);
            }
        }
        void solve(int q)
        {    
            while (q--)
            {
                int x=read(),y=read(),ans=100000000;
                if (deep[x]<deep[y]) swap(x,y);
                while (deep[x]>deep[y]) ans=min(ans,len[x]),x=fa[x];
                while (x!=y) ans=min(ans,len[x]),ans=min(ans,len[y]),x=fa[x],y=fa[y];
                printf("%d
    ",ans);
            }
        }
    }
    void addedge(int x,int y,int z)
    {
        t++;edge[t].to=y,edge[t].nxt=p[x],edge[t].cap=z,edge[t].flow=0,p[x]=t;
    }
    bool bfs(int S,int T)
    {
        memset(d,255,sizeof(d));d[S]=0;
        int head=0,tail=1;q[1]=S;
        do
        {
            int x=q[++head];
            for (int i=p[x];~i;i=edge[i].nxt)
            if (d[edge[i].to]==-1&&edge[i].flow<edge[i].cap)
            {
                d[edge[i].to]=d[x]+1;
                q[++tail]=edge[i].to;
            }
        }while (head<tail);
        return ~d[T];
    }
    int work(int k,int T,int f)
    {
        if (k==T) return f;
        int used=0;
        for (int i=cur[k];~i;i=edge[i].nxt)
        if (d[k]+1==d[edge[i].to])
        {
            int w=work(edge[i].to,T,min(f-used,edge[i].cap-edge[i].flow));
            edge[i].flow+=w,edge[i^1].flow-=w;
            if (edge[i].flow<edge[i].cap) cur[k]=i;
            used+=w;if (used==f) return f;
        }
        if (used==0) d[k]=-1;
        return used;
    }
    void dinic(int S,int T)
    {
        for (int i=0;i<=t;i++) edge[i].flow=0;
        int ans=0;
        while (bfs(S,T))
        {
            memcpy(cur,p,sizeof(p));
            ans+=work(S,T,inf);
        }
        tree::addedge(S,T,ans);
    }
    void dfs(int k)
    {
        flag[k]=1;
        for (int i=p[k];~i;i=edge[i].nxt)
        if (!flag[edge[i].to]&&edge[i].flow<edge[i].cap)
        dfs(edge[i].to);
    }
    void solve(int l,int r)
    {
        if (l>=r) return;
        dinic(v[l],v[r]);
        memset(flag,0,sizeof(flag));
        dfs(v[l]);
        int cnt=l-1;
        for (int i=l;i<=r;i++)
        if (flag[v[i]]) u[++cnt]=v[i];
        cnt=r+1;
        for (int i=l;i<=r;i++)
        if (!flag[v[i]]) u[--cnt]=v[i];
        for (int i=l;i<=r;i++) v[i]=u[i];
        solve(l,cnt-1);
        solve(cnt,r);
    }
    int main()
    {
    #ifndef ONLINE_JUDGE
        freopen("mincuttree.in","r",stdin);
        freopen("mincuttree.out","w",stdout);
        const char LL[]="%I64d
    ";
    #else
        const char LL[]="%lld
    ";
    #endif
        n=read(),m=read();
        memset(p,255,sizeof(p));
        for (int i=1;i<=m;i++)
        {
            int x=read(),y=read(),z=read();
            addedge(x,y,z),addedge(y,x,z);
        }
        for (int i=1;i<=n;i++) v[i]=i;
        solve(1,n);
        tree::dfs(1);
        int q=read();
        tree::solve(q);
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/Gloid/p/9743341.html
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