Problem Statement

There are $N$ cards, numbered $1$ to $N$.

Card $i$ has a positive integer $A_i$ written on it.

You can choose three of these cards and concatenate the integers written on them in any order you like to make a new integer. For example, if you choose cards with $1$, $23$, and $4$ written on them, you can make integers such as $1234$ and $4231$.

Find the maximum integer you can make.

Constraints

• $3 \le N \le 2 \times 10^5$
• $1 \le A_i < 10^6$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 \dots A_N

Output

Print the answer.