ztr loves math
Accepts: 311
Submissions: 1975
Time Limit: 2000/1000 MS (Java/Others)
Memory Limit: 65536/65536 K (Java/Others)
Problem Description
ztr loves research Math.One day,He thought about the “Lower Edition” of triangle equation set.Such as n=x2−y2n=x^{2}-y^{2}n=x
2
−y
2
.
He wanted to know that ,for a given number n,is there a positive integer solutions?
Input
There are T test cases. The first line of input contains an positive integer T(T<=106)T(T<=10^{6})T(T<=10
6
) indicating the number of test cases.
For each test case:each line contains a positive integer ,n<=1018n <=10^{18}n<=10
18
.
Output
If there be a positive integer solutions,print TrueTrueTrue,else print FalseFalseFalse
Sample Input
4
6
25
81
105
Sample Output
False
True
True
True
Hint
For the fourth case,105=132−82105 = 13^{2}-8^{2}105=13
2
−8
2
这个题的规律是队友推出来的,
放在这里,规律如下:
除了1和3以外,其他的如果除4余1的话就是Yes