A13299. Bad Ugly Numbers

You are given a integer $n$ ( $n > 0$ ). Find any integer $s$ which satisfies these conditions, or report that there are no such numbers:

In the decimal representation of $s$ :

- $s > 0$ ,
- $s$ consists of $n$ digits,
- no digit in $s$ equals $0$ ,
- $s$ is not divisible by any of it's digits.

The input consists of multiple test cases. The first line of the input contains a single integer $t$ ( $1 \leq t \leq 400$ ), the number of test cases. The next $t$ lines each describe a test case.

Each test case contains one positive integer $n$ ( $1 \leq n \leq 10^5$ ).

It is guaranteed that the sum of $n$ for all test cases does not exceed $10^5$ .

For each test case, print an integer $s$ which satisfies the conditions described above, or "-1" (without quotes), if no such number exists. If there are multiple possible solutions for $s$ , print any solution.

In the first test case, there are no possible solutions for $s$ consisting of one digit, because any such solution is divisible by itself.

For the second test case, the possible solutions are: $23$ , $27$ , $29$ , $34$ , $37$ , $38$ , $43$ , $46$ , $47$ , $49$ , $53$ , $54$ , $56$ , $57$ , $58$ , $59$ , $67$ , $68$ , $69$ , $73$ , $74$ , $76$ , $78$ , $79$ , $83$ , $86$ , $87$ , $89$ , $94$ , $97$ , and $98$ .

For the third test case, one possible solution is $239$ because $239$ is not divisible by $2$ , $3$ or $9$ and has three digits (none of which equals zero).