You are given an integer $$$n$$$.
Find any pair of integers $$$(x,y)$$$ ($$$1\leq x,y\leq n$$$) such that $$$x^y\cdot y+y^x\cdot x = n$$$.
The first line contains a single integer $$$t$$$ ($$$1\leq t\leq 10^4$$$) — the number of test cases.
Each test case contains one line with a single integer $$$n$$$ ($$$1\leq n\leq 10^9$$$).
For each test case, if possible, print two integers $$$x$$$ and $$$y$$$ ($$$1\leq x,y\leq n$$$). If there are multiple answers, print any.
Otherwise, print $$$-1$$$.
537423125020732790
-1 -1 2 3 5 5 3 13
In the third test case, $$$2^3 \cdot 3+3^2 \cdot 2 = 42$$$, so $$$(2,3),(3,2)$$$ will be considered as legal solutions.
In the fourth test case, $$$5^5 \cdot 5+5^5 \cdot 5 = 31250$$$, so $$$(5,5)$$$ is a legal solution.
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