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;
signed main(){
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  int n,h=0,w=0;cin>>n;
  long long ans=0;
  vector<int> a(n);
  for(int i=0;i<n;i++){
    cin>>a[i];
  }
  sort(a.begin(),a.end());
  for(int i=0;i<n;i+=2){
    if(a[i]==a[i+1]){w=h;h=a[i];}
    else{i--;}
  }
  cout<<(long long)h*w;
}