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.HashMap;
import java.util.Map;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		final Scanner sc = new Scanner(System.in);
		Map<Long, Integer> map = new HashMap<>();
		int n = sc.nextInt();
		for(int i = 0; i < n; i++) {
			long l = sc.nextLong();
			if(map.containsKey(l)) {
				map.put(l, map.get(l)+1);
			} else {
				map.put(l, 1);
			}
		}
		long l1 = 0;
		long l2 = 0;
		for(long lo : map.keySet()) {
			int a = map.get(lo);
			if(a >= 4) {
				l1 = Math.max(l1, lo);
				l2 = Math.max(l2, lo);
			} else if(a >= 2) {
				if(l1 > l2) {
					l2 = Math.max(l2, lo);
				} else {
					l1 = Math.max(l1, lo);
				}
			}
		}
		System.out.println(l1*l2);
	}
}