# POJ 1904 King&#39;s Quest（强连通）

Language:
King's Quest
 Time Limit: 15000MS Memory Limit: 65536K Total Submissions: 7635 Accepted: 2769 Case Time Limit: 2000MS

Description

Once upon a time there lived a king and he had N sons. And there were N beautiful girls in the kingdom and the king knew about each of his sons which of those girls he did like. The sons of the king were young and light-headed, so it was possible for one son to like several girls.

So the king asked his wizard to find for each of his sons the girl he liked, so that he could marry her. And the king's wizard did it -- for each son the girl that he could marry was chosen, so that he liked this girl and, of course, each beautiful girl had to marry only one of the king's sons.

However, the king looked at the list and said: "I like the list you have made, but I am not completely satisfied. For each son I would like to know all the girls that he can marry. Of course, after he marries any of those girls, for each other son you must still be able to choose the girl he likes to marry."

The problem the king wanted the wizard to solve had become too hard for him. You must save wizard's head by solving this problem.

Input

The first line of the input contains N -- the number of king's sons (1 <= N <= 2000). Next N lines for each of king's sons contain the list of the girls he likes: first Ki -- the number of those girls, and then Ki different integer numbers, ranging from 1 to N denoting the girls. The sum of all Ki does not exceed 200000.

The last line of the case contains the original list the wizard had made -- N different integer numbers: for each son the number of the girl he would marry in compliance with this list. It is guaranteed that the list is correct, that is, each son likes the girl he must marry according to this list.

Output

Output N lines.For each king's son first print Li -- the number of different girls he likes and can marry so that after his marriage it is possible to marry each of the other king's sons. After that print Li different integer numbers denoting those girls, in ascending order.

Sample Input

4
2 1 2
2 1 2
2 2 3
2 3 4
1 2 3 4


Sample Output

2 1 2
2 1 2
1 3
1 4


Hint

This problem has huge input and output data,use scanf() and printf() instead of cin and cout to read data to avoid time limit exceed.

Source

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<queue>
#include<stack>
#include<vector>
#include<set>
#include<map>

#define L(x) (x<<1)
#define R(x) (x<<1|1)
#define MID(x,y) ((x+y)>>1)

#define eps 1e-8
typedef __int64 ll;

#define fre(i,a,b)  for(i = a; i <b; i++)
#define free(i,b,a) for(i = b; i >= a;i--)
#define mem(t, v)   memset ((t) , v, sizeof(t))
#define ssf(n)      scanf("%s", n)
#define sf(n)       scanf("%d", &n)
#define sff(a,b)    scanf("%d %d", &a, &b)
#define sfff(a,b,c) scanf("%d %d %d", &a, &b, &c)
#define pf          printf
#define bug         pf("Hi\n")

using namespace std;

#define INF 0x3f3f3f3f
#define N 20000

int ans[N],time_num,time[N],low[N],type[N],cnt;
int instack[N];
int n;

vector<int>g[N];
stack<int>q;

void tarjan(int x)
{
int i,j;
time[x]=low[x]=++time_num;
instack[x]=1;
q.push(x);
fre(i,0,g[x].size())
{
int to=g[x][i];
if(time[to]==0)
{
tarjan(to);
if(low[to]<low[x]) low[x]=low[to];
}
else
if(instack[to]&&low[x]>low[to])
low[x]=low[to];
}
int to;
if(time[x]==low[x])
{
cnt++;

do{
to=q.top();
q.pop();
type[to]=cnt;
instack[to]=0;

}while(to!=x);
}
}

void solve()
{
int i,j;
mem(time,0);
mem(low,0);
mem(instack,0);
time_num=0;

int k;
while(!q.empty()) q.pop();

mem(type,0);
cnt=0;

fre(i,1,n*2+1)
if(time[i]==0)
tarjan(i);

fre(i,1,n+1)
{
k=0;
fre(j,0,g[i].size())
if(type[i]==type[g[i][j]])
ans[k++]=g[i][j]-n;

sort(ans,ans+k);

pf("%d",k);
fre(j,0,k)
pf(" %d",ans[j]);
pf("\n");
}

}
int main()
{
int i,j;
while(~sf(n))
{
fre(i,1,n+n+1)
g[i].clear();

int k,x;
fre(i,1,n+1)
{

sf(k);
while(k--)
{
sf(x);
g[i].push_back(n+x);   //男生爱女生
}
}

fre(i,1,n+1)
{
sf(x);
g[x+n].push_back(i);     //女生爱男生，假设这一种爱的关系是一种强连通。那么男生都能够选里面的女生
}
solve();
}
return 0;
}


posted on 2017-08-19 18:21  blfbuaa  阅读(181)  评论(0编辑  收藏  举报