Find the intersection of two sets $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and $B = \\{b_0, b_1, ..., b_{m-1}\\}$.

Constraints

* $1 \leq n, m \leq 200,000$
* $0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
* $0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$

Input

The input is given in the following format.


$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$


Elements of $A$ and $B$ are given in ascending order respectively. There are no duplicate elements in each set.

Output

Print elements in the intersection in ascending order. Print an element in a line.

Example

Input

4
1 2 5 8
5
2 3 5 9 11


Output

2
5
#include <bits/stdc++.h>
using namespace std;
int main(void) {
   set<int> st1;
   set<int> st2;
   set<int> result;
   int n,a,m,b;
   cin >> n;
   for (int i=0;i<n;i++) {
       cin >> a;
       st1.emplace(a);
   }
   cin >> m;
   for (int j=0;j<m;j++) {
       cin >> b;
       st2.emplace(b);
   }
   set_intersection(st1.begin(),st1.end(),st2.begin(),st2.end(),inserter(result,result.end()));
   auto itr1 = result.begin();
   auto itr2 = result.end();
   for (itr1;itr1!=itr2;++itr1) {
       cout << *itr1 << endl;
   }
}

