CF1787A.Exponential Equation

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 $-1$ .

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.