HDU 3594 Cactus 强连通判断仙人掌图

给出点与点的关系 判断是否为仙人掌图

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
#include<vector>
const int INF = 1<<31-1;
int min(int a,int b)
{
	return a>b?b:a;
}
int max(int a, int b){
	return a>b?a:b;
}
int flag=0;
#define N 52224 
//N为最大点数  
#define M 262224  
//M为最大边数  
int n, m;//n m 为点数和边数  
struct Edge{  
    int from, to, nex;  
    bool sign;//是否为桥  
}edge[M<<1];  
int head[N], edgenum;  
void add(int u, int v){//边的起点和终点  
    Edge E={u, v, head[u], false};  
    edge[edgenum] = E;  
    head[u] = edgenum++;  
}  
int DFN[N], Low[N], Stack[N], top, Time; //Low[u]是点集{u点及以u点为根的子树} 中(所有反向弧)能指向的(离根最近的祖先v) 的DFN[v]值(即v点时间戳)  
int taj;//连通分支标号,从1开始  
int Belong[N];//Belong[i] 表示i点属于的连通分支  
bool Instack[N];  
vector<int> bcc[N]; //标号从1开始  

void tarjan(int u ,int fa)
{    
	int i;
    DFN[u] = Low[u] = ++ Time ;    
    Stack[top ++ ] = u ;    
    Instack[u] = 1 ;   
    for ( i = head[u] ; ~i ; i = edge[i].nex )
	{    
        int v = edge[i].to;    
        if(DFN[v] == -1)  
        {    
            tarjan(v , u);    
            Low[u] = min(Low[u] ,Low[v]) ;  
            if(DFN[u] < Low[v])  
            {  
                edge[i].sign = 1;//为割桥  
            }  
        }    
        else if(Instack[v])
		{
			Low[u] = min(Low[u] ,DFN[v]) ;        
			if(DFN[v]!=Low[v])//若不相等  则在之前已经与其他点连通
				flag=1;
		}
    }    
    if(Low[u] == DFN[u])
	{
        int now;  
        taj ++ ; 
		bcc[taj].clear();  
        do{  
            now = Stack[-- top] ;    
            Instack[now] = 0 ;   
			if(Belong[now]!=-1)
				flag=1;
            Belong [now] = taj ;  
            bcc[taj].push_back(now); 
        }while(now != u) ;  
    }  
}  

void tarjan_init(int all){  
    memset(DFN, -1, sizeof(DFN));  
    memset(Belong, -1, sizeof(Belong));  
    memset(Low, -1, sizeof(Low));  
    memset(Instack, 0, sizeof(Instack));  
    memset(Stack, 0, sizeof(Stack));  
    top = Time = taj = 0;  
    for(int i=1;i<=all;i++)
		if(DFN[i]==-1 )
			tarjan(i, i); //注意开始点标!!!  
}  
vector<int>G[N];  
int du[N];  
void suodian()
{ 
	int i;
    memset(du, 0, sizeof(du));  
    for( i = 1; i <= taj; i++)
		G[i].clear();  
    for(i = 0; i < edgenum; i++)
	{  
        int u = Belong[edge[i].from], v = Belong[edge[i].to];  
        if(u!=v)
		{
			G[u].push_back(v), du[v]++;  
		}
    }  
}
void init(){
	memset(head, -1, sizeof(head));
	edgenum=0;
}  
int main()
{
	int t;
	scanf("%d",&t);
	while(t--)
	{
		flag=0;
		scanf("%d",&n);
		int i,j;
		init();
		int a=1,b=1;
		m=0;
		while(scanf("%d%d",&a,&b),a+b)
		{
			add(a+1,b+1);
			m++;
		}
		tarjan_init(n);
		suodian();
		if(taj==1&&flag==0)
			printf("YES\n");
		else printf("NO\n");

	}
	return 0;
}


posted @ 2014-07-10 20:23  kewowlo  阅读(128)  评论(0编辑  收藏  举报