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 Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

import Control.Applicative
import Control.Monad
import Data.List
import Data.Char
strToInt s = (read :: String -> Int) s
strToInteger s = (read :: String -> Integer) s
strToDouble s = (read :: String -> Double) s

main :: IO ()
main = do
    -- 整数の入力
    _ <- getLine
    -- スペース区切り整数の入力
    l <- map strToInt . words <$> getLine
    let xs = filter ((>= 2) . length) $ group $ sort l
    -- 出力
    putStrLn . show $ solve xs

solve :: [[Int]] -> Int
solve xs
    | (length xs) >= 2 = foldl1 (*) (map head $ take 2 $ reverse xs)
    | (length xs) == 1 = if (length $ head xs) >= 4 then foldl1 (*) (take 2 $ head xs) else 0
    | otherwise = 0