Problem O
Which Number Kind Is It?

There are many number kinds out there and I am sure you know some of them already! To name a few:

• Odd number (O): $1, 3, 5, 7, 9, \ldots $

• Square number (S): $0, 1, 4, 9, 16, 25, \ldots $

In this problem, you just need to output whether a given number $N$ is one of these special kinds of numbers. Print O if $N$ is odd, S if it’s a perfect square, and OS if $N$ is both odd and a perfect square. If $N$ isn’t either kind of special number, print EMPTY instead.

Input

The first line of input consists of an integer $T$ $(1 \leq T \leq 10^5)$, the number of test cases.

The remaining $T$ lines each contains a single integer $N$ $(0 \leq N \leq 10^6)$.

Output

Print $T$ lines, one per test case. On each line, print either O or S or OS or EMPTY, as described above.

4
1
7
20
9

OS
O
EMPTY
OS