码迷,mamicode.com
首页 > 其他好文 > 详细

HDU 3836 Equivalent Sets(Tarjan+缩点)

时间:2014-10-18 03:05:05      阅读:290      评论:0      收藏:0      [点我收藏+]

标签:des   style   color   io   os   ar   for   sp   div   

Problem Description
To prove two sets A and B are equivalent, we can first prove A is a subset of B, and then prove B is a subset of A, so finally we got that these two sets are equivalent.
You are to prove N sets are equivalent, using the method above: in each step you can prove a set X is a subset of another set Y, and there are also some sets that are already proven to be subsets of some other sets.
Now you want to know the minimum steps needed to get the problem proved.
 

Input
The input file contains multiple test cases, in each case, the first line contains two integers N <= 20000 and M <= 50000.
Next M lines, each line contains two integers X, Y, means set X in a subset of set Y.
 

Output
For each case, output a single integer: the minimum steps needed.
 

Sample Input
4 0 3 2 1 2 1 3
 

Sample Output
4 2
Hint
Case 2: First prove set 2 is a subset of set 1 and then prove set 3 is a subset of set 1.
 
强联通缩点:添加几条边成强联通分量:设缩点后所有点中出度为0的点为d_1,入度为0点为d_2,则答案为max(d_1,d_2);
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<limits.h>
typedef long long LL;
using namespace std;

#define REPF( i , a , b ) for ( int i = a ; i <= b ; ++ i )
#define REP( i , n ) for ( int i = 0 ; i < n ; ++ i )
#define CLEAR( a , x ) memset ( a , x , sizeof a )

const int maxn=20000+100;
const int maxm=100000;
struct node{
    int u,v;
    int next;
}e[maxm];
int head[maxn],cntE;
int DFN[maxn],low[maxn];
int s[maxm],top,index,cnt;
int belong[maxn],instack[maxn];
int in[maxn],out[maxn];
int n,m;
void init()
{
    top=cntE=0;
    index=cnt=0;
    CLEAR(DFN,0);
    CLEAR(head,-1);
    CLEAR(instack,0);
//    CLEAR(belong,0);
}
void addedge(int u,int v)
{
    e[cntE].u=u;e[cntE].v=v;
    e[cntE].next=head[u];
    head[u]=cntE++;
}
void Tarjan(int u)
{
    DFN[u]=low[u]=++index;
    instack[u]=1;
    s[top++]=u;
    for(int i=head[u];i!=-1;i=e[i].next)
    {
        int v=e[i].v;
        if(!DFN[v])
        {
            Tarjan(v);
            low[u]=min(low[u],low[v]);
        }
        else if(instack[v])
            low[u]=min(low[u],DFN[v]);
    }
    int v;
    if(DFN[u]==low[u])
    {
        cnt++;
        do{
            v=s[--top];
            belong[v]=cnt;
            instack[v]=0;
        }while(u!=v);
    }
}
void work()
{
    REPF(i,1,n)
      if(!DFN[i])  Tarjan(i);
    if(cnt<=1)
    {
        puts("0");
        return ;
    }
    CLEAR(in,0);
    CLEAR(out,0);
    for(int i=0;i<cntE;i++)
    {
        int u=e[i].u,v=e[i].v;
        if(belong[u]!=belong[v])
            in[belong[v]]++,out[belong[u]]++;
    }
    int d_1=0,d_2=0;
    REPF(i,1,cnt)
    {
        if(!in[i])
            d_1++;
        if(!out[i])
            d_2++;
    }
    printf("%d\n",max(d_1,d_2));
}
int main()
{
    int u,v;
    while(~scanf("%d%d",&n,&m))
    {
        init();
        for(int i=0;i<m;i++)
        {
            scanf("%d%d",&u,&v);
            addedge(u,v);
        }
        work();
    }
    return 0;
}


HDU 3836 Equivalent Sets(Tarjan+缩点)

标签:des   style   color   io   os   ar   for   sp   div   

原文地址:http://blog.csdn.net/u013582254/article/details/40201893

(0)
(0)
   
举报
评论 一句话评论(0
登录后才能评论!
© 2014 mamicode.com 版权所有  联系我们:gaon5@hotmail.com
迷上了代码!