Problems
Sums
Sums
Given an integer $n$, express it as the sum of at least two consecutive positive integers. For example:
\begin{itemize}
\item $10 = 1 + 2 + 3 + 4$
\item $24 = 7 + 8 + 9$
\end{itemize}
If there are multiple solutions, output the one with the smallest possible number of summands.
\InputFile
The first line contains the number of test cases $t$. Each test case consists of one line containing an integer $n~(1 \le n \le 10^9)$.
\OutputFile
For each test case, output a single line containing the equation in the format:
$$
n = a + (a + 1) + ... + b
$$
as in the example. If there is no solution, output a single word \textbf{IMPOSSIBLE} instead.
Input example #1
3 8 10 24
Output example #1
IMPOSSIBLE 10 = 1 + 2 + 3 + 4 24 = 7 + 8 + 9