Problem Description

For a given positive integer n, please find the smallest positive integer x that we can find an integer y such that y^2 = n +x^2.

Input

The first line is an integer T, which is the the number of cases.
Then T line followed each containing an integer n (1<=n <= 10^9).

Output

For each integer n, please print output the x in a single line, if x does not exit , print -1 instead.

2
2
3

-1
1

Author

HIT