P9606 [AtCoder] AtCoder Beginner Contest 071 - Make a Rectangle
普及-
题目描述

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

输入格式

见题面

输出格式

见题面

样例输入
10 3 3 3 3 4 4 4 5 5 5
样例输出
20