We have N sticks with negligible thickness. The length of the i-th stick is A_i.

Snuke wants to select four different sticks from these sticks and form a rectangle (including a square), using the sticks as its sides. Find the maximum possible area of the rectangle.

Constraints

* 4 \leq N \leq 10^5
* 1 \leq A_i \leq 10^9
* A_i is an integer.

Input

Input is given from Standard Input in the following format:


N
A_1 A_2 ... A_N


Output

Print the maximum possible area of the rectangle. If no rectangle can be formed, print 0.

Examples

Input

6
3 1 2 4 2 1


Output

2


Input

4
1 2 3 4


Output

0


Input

10
3 3 3 3 4 4 4 5 5 5


Output

20
#include <bits/stdc++.h>
using namespace std;
int main(){
	long long n,a[100005],ans1=0,ans2=0;
	cin>>n;
	for(int i=0;i<n;i++){
		cin>>a[i];
	}
	sort(a,a+n);
	for(int i=0;i<n;i++){
		if(a[i]==a[i+1]){
			ans1=ans2;
			ans2=a[i];
			i++;
		}
	}
	if(ans1==0){
		cout<<"0"<<endl;
	}
	else{
		cout<<ans1*ans2<<endl;
	}
  return(0);
}