2017青岛赛区亚洲区域赛网络赛 1011题题解

Problem Description

A cubic number is the result of using a whole number in a multiplication three times. For example, 3×3×3=27 so 27 is a cubic number. The first few cubic numbers are 1,8,27,64 and 125. Given an prime number p. Check that if p is a difference of two cubic numbers.




Input

The first of input contains an integer T (1≤T≤100) which is the total number of test cases.
For each test case, a line contains a prime number p (2≤p≤1012).




Output

For each test case, output 'YES' if given p is a difference of two cubic numbers, or 'NO' if not.




Sample Input

10
2
3
5
7
11
13
17
19
23
29





Sample Output

NO
NO
NO
YES
NO
NO
NO
YES
NO
NO

思路：若能找到一个整数n满足 p=3n²+3n+1 则为YES（好不容易找到的规律）

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