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A Simple Problem

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)
Total Submission(s): 7688    Accepted Submission(s): 2213


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.
 

Sample Input
2 2 3
 

Sample Output
-1 1
 

Author
HIT
 

Source
 

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