# 【数学】A Cubic number and A Cubic Number

A cubic number is the result of using a whole number in a multiplication three times. For example, 3×3×3=27so

$27$

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.

InputThe first of input contains an integer T (1T100) which is the total number of test cases.
For each test case, a line contains a prime number p (2p10^12).OutputFor each test case, output 'YES' if given p

$p$

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

#include<iostream>
#include <climits>
#include <cstdio>
#include <algorithm>
#define LL long long
using namespace std;
int main()
{
int T;
scanf("%d", &T);
while (T--)
{
LL n;
scanf("%lld", &n);
//P=3*（y+1）*y+1
if ((n - 1) % 3)
{
printf("NO\n");
continue;
}
LL x = (LL)sqrt((n - 1) / 3);

if (x*(x + 1) == (n - 1) / 3)
printf("YES\n");
else
printf("NO\n");
}
return 0;
}