Problem: 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

Solution (in CPP):

Solution:
#include <iostream>
#include <set>
#define int long long
using namespace std;
set<int>s, t;
int n, p;
signed main() {
	cin >> n; for (int i = 0; i < n; i++) {
	    cin >> p; s.insert(p); 
	}
	cin >> n; for (int i = 0; i < n; i++) { 
	    cin >> p; if (s.count(p))t.insert(p); 
	    
	}
	for (int i : t)
	cout << i << endl;
	return 0;
}