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.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int N = sc.nextInt();

        Map<Long, Integer> map = new HashMap<>();
        for (int i = 0; i < N; i++) {
            long num = sc.nextLong();
            if (map.containsKey(num)) {
                map.put(num, map.get(num) + 1);
            } else {
                map.put(num, 1);
            }
        }

        long a = 0;
        long b = 0;
        for (long num : map.keySet()) {
            if (map.get(num) < 2) continue;

            if (num > a && num > b && map.get(num) >= 4) {
                a = num;
                b = num;
            } else if (num > a) {
                b = a;
                a = num;
            } else if (num > b && num < a) {
                b = num;
            }
        }
        System.out.println(a * b);
    }
}
