Monocarp is a great solver of adhoc problems. Recently, he participated in an Educational Codeforces Round, and gained rating!
Monocarp knew that, before the round, his rating was $$$a$$$. After the round, it increased to $$$b$$$ ($$$b > a$$$). He wrote both values one after another to not forget them.
However, he wrote them so close to each other, that he can't tell now where the first value ends and the second value starts.
Please, help him find some values $$$a$$$ and $$$b$$$ such that:
If there are multiple answers, you can print any of them.
The first line contains a single integer $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of testcases.
The only line of each testcase consists of a single string $$$ab$$$ of length from $$$2$$$ to $$$8$$$ that:
For each testcase, determine if such values $$$a$$$ and $$$b$$$ exist. If they don't, print -1. Otherwise, print two integers $$$a$$$ and $$$b$$$.
If there are multiple answers, you can print any of them.
520002001391125200200200100012
2000 2001 39 1125 -1 200 1000 1 2
In the second testcase, printing $$$3$$$ and $$$91125$$$ is also valid.
In the third testcase, $$$20$$$ and $$$0200$$$ is not valid, because $$$b$$$ has a leading zero. $$$200$$$ and $$$200$$$ is not valid, because $$$200$$$ is not strictly greater than $$$200$$$.
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