C

Two bored soldiers are playing card war. Their card deck consists of exactly n cards, numbered from 1 to n, all values are different. They divide cards between them in some manner, it’s possible that they have different number of cards. Then they play a “war”-like card game.

The rules are following. On each turn a fight happens. Each of them picks card from the top of his stack and puts on the table. The one whose card value is bigger wins this fight and takes both cards from the table to the bottom of his stack. More precisely, he first takes his opponent’s card and puts to the bottom of his stack, and then he puts his card to the bottom of his stack. If after some turn one of the player’s stack becomes empty, he loses and the other one wins.

You have to calculate how many fights will happen and who will win the game, or state that game won’t end.

Input
First line contains a single integer n (2 ≤ n ≤ 10), the number of cards.

Second line contains integer k1 (1 ≤ k1 ≤ n - 1), the number of the first soldier’s cards. Then follow k1 integers that are the values on the first soldier’s cards, from top to bottom of his stack.

Third line contains integer k2 (k1 + k2 = n), the number of the second soldier’s cards. Then follow k2 integers that are the values on the second soldier’s cards, from top to bottom of his stack.

All card values are different.

Output
If somebody wins in this game, print 2 integers where the first one stands for the number of fights before end of game and the second one is 1 or 2 showing which player has won.

If the game won’t end and will continue forever output  - 1.

Examples
Input
4
2 1 3
2 4 2
Output
6 2
Input
3
1 2
2 1 3
Output
-1
Note
First sample:

Second sample:

//队列模拟即可

//反映出两个问题，一个
//我靠，问题原来是进队列进错了囧。。
//问题1：英语不好，没读懂题意，变成了双端队列。
//问题2：还是细节方面有问题，静态查错功底不足。
#include <cstdio>
#include <iostream>
#include <queue>

using namespace std;

int main()
{
    queue<int>Q1;
    queue<int>Q2;
    int T;

    cin>>T;
    int n,m;

    cin>>n;
    for(int i = 0;i < n;i++)
    {
        int tmp;
        cin>>tmp;
        Q1.push(tmp);
    }
    cin>>m;
    for(int i = 0;i < m;i++)
    {
        int tmp;
        cin>>tmp;
        Q2.push(tmp);
    }

    int cnt = 0;
//    while(true)
    while(!Q1.empty() && !Q2.empty())
    {
        cnt++;
        if(cnt >= 1e5)
        {
            printf("-1
");
            break;
        }
        int n1 = Q1.front();
        Q1.pop();
        int n2 = Q2.front();
        Q2.pop();
        if(n1 > n2)
        {
            Q1.push(n2);
            Q1.push(n1);
        }
        else if(n2 > n1)
        {
            Q2.push(n1);
            Q2.push(n2);
        }

//        cnt++;
    }
    if(Q1.empty())
    {
        printf("%d 2
",cnt);
    }
    else if(Q2.empty())
    {
        printf("%d 1
",cnt);
    }
    return 0;
}