Score : $300$ points

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.

5
1 4 3 5 8

854

If you choose cards with $4$, $5$, and $8$ written on them, you can make $458$, $485$, $548$, $584$, $845$, or $854$.

You can make nothing greater than $854$, so the answer is $854$.

8
813 921 481 282 120 900 555 409

921900813