Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

6
3 1 2 4 2 1

Sample Output 1

2

1 \times 2 rectangle can be formed.

Sample Input 2

4
1 2 3 4

Sample Output 2

0

No rectangle can be formed.

Sample Input 3

10
3 3 3 3 4 4 4 5 5 5

Sample Output 3

20

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		
		Map<Integer, Integer> map = new HashMap<>();
		for (int i = 0; i < N; i++) {
			int num = sc.nextInt();
			if (map.containsKey(num)) {
				map.put(num, map.get(num) + 1); 
			} else {
				map.put(num, 1);
			}
		}
		int a = 0;
		int b = 0;
		for (int 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);
	}
}