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
import java.util.Arrays;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		int n = scanner.nextInt();
		long[] a = new long[n];
		for(int i=0;i<n;i++){
			a[i] = scanner.nextLong();
		}
		Arrays.sort(a);
		long x = 0, y = 0;
		for(int i=n-1;i>0;i--){
			if(a[i] == a[i-1]){
				if(x == 0){
					x = a[i];
					i--;
				}else{
					y = a[i];
					System.out.println(x * y);
					return;
				}
			}
		}
		System.out.println(0);
	}

}
