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  • [Poi2012]Festival 差分约束+tarjan

    差分约束建图,发现要在每个联通块里求最长路,600,直接O(n3) floyed

    #include<cstdio>
    #include<cstring>
    #include<iostream>
    #include<algorithm>
    #include<cmath>
    #define N 650
    #define M 100050
    using namespace std;
    int g[N][N],n,m1,m2,f[N],ans;
    int e=1,head[N];
    struct edge{
        int u,v,w,next;
    }ed[2*M];
    void add(int u,int v,int w){
        ed[e].u=u;ed[e].v=v;ed[e].w=w;
        ed[e].next=head[u];head[u]=e++;
        g[u][v]=min(g[u][v],w);
    }
    int dfn[N],low[N],top,q[N],tot,id[N];
    bool bo[N];
    void tarjan(int x){
        dfn[x]=low[x]=++top;
        q[top]=x;bo[x]=1;
        for(int i=head[x];i;i=ed[i].next){
            int v=ed[i].v;
            if(!dfn[v]){
                tarjan(v);
                low[x]=min(low[x],low[v]);
            }
            else if(bo[v])
                low[x]=min(low[x],dfn[v]);
        }
        if(low[x]==dfn[x]){
            int y;tot++;
            do{
                y=q[top--];
                bo[y]=0;
                id[y]=tot;
            }while(y!=x);
        }
    }
    int main(){
        memset(g,0x3f,sizeof g);
        scanf("%d%d%d",&n,&m1,&m2);
        for(int i=1;i<=n;i++)g[i][i]=0;
        int u,v;
        for(int i=1;i<=m1;i++){
            scanf("%d%d",&u,&v);
            add(u,v,1);add(v,u,-1);
        }
        for(int i=1;i<=m2;i++){
            scanf("%d%d",&u,&v);
            add(v,u,0);
        }
        for(int i=1;i<=n;i++)
            if(!dfn[i])
                tarjan(i);
        for(int k=1;k<=n;k++)
            for(int i=1;i<=n;i++)if(id[i]==id[k])
                for(int j=1;j<=n;j++)if(id[j]==id[i])
                    g[i][j]=min(g[i][j],g[i][k]+g[k][j]);
        for(int i=1;i<=n;i++)
            if(g[i][i]<0){printf("NIE
    ");return 0;}
        for(int i=1;i<=n;i++)
            for(int j=1;j<=n;j++)
                if(id[i]==id[j])
                    f[id[i]]=max(f[id[i]],g[i][j]+1);
        for(int i=1;i<=tot;i++) ans+=f[i];
        printf("%d
    ",ans);
        return 0;
    }


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  • 原文地址:https://www.cnblogs.com/Ren-Ivan/p/7746676.html
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