Codeforces Round #388 (Div. 2) D

There are n people taking part in auction today. The rules of auction are classical. There were n bids made, though it's not guaranteed they were from different people. It might happen that some people made no bids at all.

Each bid is define by two integers (ai, bi), where ai is the index of the person, who made this bid and bi is its size. Bids are given in chronological order, meaning bi < b_i + 1 for all i < n. Moreover, participant never makes two bids in a row (no one updates his own bid), i.e.ai ≠ a_i + 1 for all i < n.

Now you are curious with the following question: who (and which bid) will win the auction if some participants were absent? Consider that if someone was absent, all his bids are just removed and no new bids are added.

Note, that if during this imaginary exclusion of some participants it happens that some of the remaining participants makes a bid twice (or more times) in a row, only first of these bids is counted. For better understanding take a look at the samples.

You have several questions in your mind, compute the answer for each of them.

Input

The first line of the input contains an integer n (1 ≤ n ≤ 200 000) — the number of participants and bids.

Each of the following n lines contains two integers ai and bi (1 ≤ ai ≤ n, 1 ≤ bi ≤ 10⁹, bi < b_i + 1) — the number of participant who made the i-th bid and the size of this bid.

Next line contains an integer q (1 ≤ q ≤ 200 000) — the number of question you have in mind.

Each of next q lines contains an integer k (1 ≤ k ≤ n), followed by k integers lj (1 ≤ lj ≤ n) — the number of people who are not coming in this question and their indices. It is guarenteed that lj values are different for a single question.

It's guaranteed that the sum of k over all question won't exceed 200 000.

Output

For each question print two integer — the index of the winner and the size of the winning bid. If there is no winner (there are no remaining bids at all), print two zeroes.

Examples

input

6
1 10
2 100
3 1000
1 10000
2 100000
3 1000000
3
1 3
2 2 3
2 1 2

output

2 100000
1 10
3 1000

input

3
1 10
2 100
1 1000
2
2 1 2
2 2 3

output

0 0
1 10

Note

Consider the first sample:

• In the first question participant number 3 is absent so the sequence of bids looks as follows:
  1. 1 10
  2. 2 100
  3. 1 10 000
  4. 2 100 000

  Participant number 2 wins with the bid 100 000.

• In the second question participants 2 and 3 are absent, so the sequence of bids looks:
  1. 1 10
  2. 1 10 000

  The winner is, of course, participant number 1 but the winning bid is 10 instead of 10 000 as no one will ever increase his own bid (in this problem).

• In the third question participants 1 and 2 are absent and the sequence is:
  1. 3 1 000
  2. 3 1 000 000

  The winner is participant 3 with the bid 1 000.

题意：有个拍卖会，然后出价（出价貌似是上升的），最后说有几个出价是失效的，问最后是哪个价格竞拍到了

1 10
2 100
3 1000
1 10000
2 100000
3 1000000
比如这个，我们知道每人两次出价（价格上升），最后3出价失效，最后保留1 2,2的出价最高，输出2 10000

解法：

1 模拟

2 没有剩下就是的0 0，剩下一个出价人就是取最高值

3 如果留下多个，最后一个出价人的价格和倒数第二个出价比较，找一个比倒数第二个出价最高的还高的出价就行（不一定要最高），如果找不到就取当前的最大值

4 说是数据结构，拿现成的工具套。。

 #include<bits/stdc++.h>
 typedef long long LL;
 typedef unsigned long long ULL;
 typedef long double LD;
 using namespace std;
 set<pair<int,int>>Se;
 vector<int>Ve[];
 int flag[];
 int query[];
 int main(){
     int n;
     scanf("%d",&n);
     for(int i=;i<=n;i++){
         int a,b;
         scanf("%d%d",&a,&b);
         Ve[a].push_back(b);
         flag[a]=;
     }
     for(int i=;i<=n;i++){
         if(flag[i]){
             Se.insert({Ve[i][Ve[i].size()-],i});
         }
     }
     int m;
     scanf("%d",&m);
     while(m--){
         int num;
         scanf("%d",&num);
         for(int i=;i<=num;i++){
             scanf("%d",&query[i]);
             if(flag[query[i]]==) continue;
             Se.erase({Ve[query[i]][Ve[query[i]].size()-],query[i]});
         }
         if(Se.size()==){
             printf("0 0\n");
         }else if(Se.size()==){
             printf("%d %d\n",Se.begin()->second,Ve[Se.begin()->second][]);
         }else{
             auto k = --Se.end();
             int t1 = k->first, t2 = k->second;
             Se.erase({t1, t2});
             auto l = --Se.end();
             printf("%d %d\n", k->second, *upper_bound(Ve[t2].begin(), Ve[t2].end(), l->first));
             Se.insert({t1, t2});
         }
         for(int i=;i<=num;i++){
             if(flag[query[i]]){
                 Se.insert({Ve[query[i]][Ve[query[i]].size()-],query[i]});
             }
         }
     }
     return ;
 }