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  • tarjan求强连通分量

    http://poj.org/problem?id=3180

    //#include<bits/stdc++.h>
    #include<iostream>
    #include<cstdio>
    #include<iomanip>
    #include<cmath>
    #include<algorithm>
    #include<vector>
    #include<cstring>
    #include<queue>
    #include<map>
    #include<string>
    #include<stack>
    #define fi first
    #define se second
    #define INF 0x3f3f3f3f
    #define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0)
    #define pqueue priority_queue
    #define NEW(a,b) memset(a,b,sizeof(a))
    #define lowbit(x) ((x)&(-x))
    const double pi=4.0*atan(1.0);
    const int maxn=1e5+8;
    typedef long long LL;
    typedef unsigned long long ULL;
    const LL mod=1e9+7;
    const ULL base=1e7+7;
    using namespace std;
    struct node{
        int to,nxt;
    }g[maxn*2];
    int head[maxn];
    int cnt=0;
    void add(int u,int v){
        g[cnt].to=v;
        g[cnt].nxt=head[u];
        head[u]=cnt++;
    }
    int deep=0;
    int dfn[maxn],low[maxn];
    bool vis[maxn];
    int Stack[maxn];
    int tail=0;
    int ans=0;
    void tarjan(int u){
        dfn[u]=++deep;
        low[u]=deep;
        Stack[++tail]=u;
        vis[u]=1;
        int t=head[u];
        int r=0;
        while(t!=-1){
            if(!dfn[g[t].to]){
                tarjan(g[t].to);
                low[u]=min(low[u],low[g[t].to]);
            }
            else{
                if(vis[g[t].to]){
                    low[u]=min(low[u],low[g[t].to]);
                }
            }
            t=g[t].nxt;
        }
        if(dfn[u]==low[u]){
            while(Stack[tail]!=u){
                vis[Stack[tail]]=0;
                tail--;
                r=1;
            }
            vis[Stack[tail]]=0;
            tail--;
        }
        ans+=r;
    }
    int main(){
        memset(head,-1,sizeof(head));
        int n,m,x,y;
        scanf("%d%d",&n,&m);
        for(int i=1;i<=m;i++){
            scanf("%d%d",&x,&y);
            add(x,y);
        }
        for(int i=1;i<=n;i++){
            if(!dfn[i]){
                tarjan(i);
            }
        }
        cout<<ans<<endl;
    }

    无向图缩点

    http://codeforces.com/group/w1oiqifZbS/contest/652/problem/E

    #include<bits/stdc++.h>
    #define fi first
    #define se second
    #define INF 0x3f3f3f3f
    #define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0)
    #define pqueue priority_queue
    #define NEW(a,b) memset(a,b,sizeof(a))
    #define lowbit(x) ((x)&(-x))
    const double pi=4.0*atan(1.0);
    const int maxn=3e5+8;
    typedef long long LL;
    typedef unsigned long long ULL;
    const LL mod=1e9+7;
    const ULL base=1e7+7;
    using namespace std;
    struct node{
        int to,nxt;
        bool val;
    }g[maxn*2],gg[maxn*2];
    int head[maxn],head2[maxn];
    int cnt=0;
    void add(int u,int v,bool val){
        g[cnt].to=v;
        g[cnt].nxt=head[u];
        g[cnt].val=val;
        head[u]=cnt++;
    }
    int deep=0;
    int dfn[maxn],low[maxn];
    bool vis[maxn];
    bool used[maxn];
    int Stack[maxn];
    bool a[maxn];
    int color[maxn];
    int tot=0;
    int tail=0;
    int n,m;
    void tarjan(int u,int fa){
        dfn[u]=++deep;
        low[u]=deep;
        Stack[++tail]=u;
        vis[u]=1;
        int t=head[u];
        while(t!=-1){
            if(g[t].to==fa){
                t=g[t].nxt;
                continue;
            }
            if(!dfn[g[t].to]){
                tarjan(g[t].to,u);
                low[u]=min(low[u],low[g[t].to]);
            }
            else{
                if(vis[g[t].to]){
                    low[u]=min(low[u],low[g[t].to]);
                }
            }
            t=g[t].nxt;
        }
        if(dfn[u]==low[u]){
            tot++;
            while(Stack[tail]!=u){
                vis[Stack[tail]]=0;
                color[Stack[tail]]=tot;
                tail--;
            }
            vis[Stack[tail]]=0;
            color[Stack[tail]]=tot;
            tail--;
        }
    }
    void add2(int u,int v,int val){
        gg[cnt].to=v;
        gg[cnt].nxt=head2[u];
        gg[cnt].val=val;
        head2[u]=cnt++;
    }
    void suodian(){
        for(int i=1;i<=n;i++){
            int t=head[i];
            while(t!=-1){
                if(color[i]==color[g[t].to]){
                    a[color[i]]+=g[t].val;
                }
                else if(g[t].to>i){
                    //cout<<i<<' '<<g[t].to<<endl;
                    add2(color[i],color[g[t].to],g[t].val);
                    add2(color[g[t].to],color[i],g[t].val);
                }
                t=g[t].nxt;
            }
        }
    }
    bool ans=0;
    void dfs2(int u,int fa,int aim,bool re){
        //cout<<u<<endl;
        if(u==aim){
            ans+=re;
            return ;
        }
        int t=head2[u];
        while(t!=-1){
            if(gg[t].to!=fa){
                dfs2(gg[t].to,u,aim,re+gg[t].val+a[gg[t].to]);
            }
            t=gg[t].nxt;
        }
    }
    int main(){
        memset(head,-1,sizeof(head));
        memset(head2,-1,sizeof(head2));
        int x,y,val;
        scanf("%d%d",&n,&m);
        for(int i=1;i<=m;i++){
            scanf("%d%d%d",&x,&y,&val);
            add(x,y,(bool)val);
            add(y,x,(bool)val);
        }
        int s,t;
        scanf("%d%d",&s,&t);
        for(int i=1;i<=n;i++){
            if(!dfn[i]){
                tarjan(i,0);
            }
        }
        cnt=0;
        suodian();
        dfs2(color[s],0,color[t],a[color[s]]);
        if(ans){
            cout<<"YES"<<endl;
        }
        else{
            cout<<"NO"<<endl;
        }
    }
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  • 原文地址:https://www.cnblogs.com/Profish/p/10421559.html
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