You are given a positive integer $$$n$$$. A pair of non-negative integers $$$a, b$$$ is called beautiful if the following conditions hold:

$$$a + b = n$$$.
The number $$$a$$$ is a palindrome.$$$^{\text{∗}}$$$
The number $$$b$$$ is divisible by $$$12$$$.

You need to find a beautiful pair or report that it does not exist.

$$$^{\text{∗}}$$$A number is called a palindrome if and only if it remains the same when its digits (in decimal notation) are written in reverse order. For example, the numbers $$$12321$$$, $$$6776$$$, $$$5$$$, $$$0$$$ are palindromes, while the numbers $$$123$$$ and $$$69$$$ — are not.

Input

Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 10^4$$$). The description of the test cases follows.

The only line of each test case contains a single integer $$$n$$$ ($$$1 \leq n \leq 10^{18}$$$).

Output

For each test case, if such $$$a$$$ and $$$b$$$ exist, output $$$a$$$ and $$$b$$$ on a separate line, separated by a space. Otherwise, output $$$-1$$$ on a separate line.

If there are several beautiful pairs $$$a, b$$$, you may output any of them.

Note

In the first test case, $$$a = 1$$$ is a palindrome, and $$$b = 0$$$ is divisible by $$$12$$$, and $$$a + b = 1 = n$$$, so the answer satisfies the condition.

In the second test case, it can be shown that no pair $$$a, b$$$ is suitable.

In the third test case, $$$a = 262$$$ is a palindrome, and $$$b = 48$$$ is divisible by $$$12$$$, and $$$a + b = 310 = n$$$, so the answer satisfies the condition.

Palindrome, Twelve and Two Terms

Examples