#AT1119. C - Make a Rectangle

C - Make a Rectangle

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C - Make a Rectangle

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:

NN

A1A_1 A2A_2 ... ANA_N

Output

Print the maximum possible area of the rectangle. If no rectangle can be formed, print $0$.


6
3 1 2 4 2 1
2

$1 \times 2$ rectangle can be formed.


4
1 2 3 4
0

No rectangle can be formed.


10
3 3 3 3 4 4 4 5 5 5
20