2017青岛网络赛1011 A Cubic number and A Cubic Number

A Cubic number and A Cubic Number

Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)
Total Submission(s): 4947    Accepted Submission(s): 1346

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

 

Source

输入输出测试

 

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#include <math.h>
#include<iostream>
#include<vector>
#define ll long long int

using namespace std;
vector<ll> t_vec;
bool fun(ll a) {
    a = (a - 1);
    if (a % 3 != 0) {
        return false;
    }
    a = a / 3;
    ll tem = sqrt(a);
    if (tem*(tem + 1) == a)
        return true;
    else
        return false;
}
int main() {
    int t;
    ll n;
    cin >> t;
    while (t--) {
        cin >> n;
        if (fun(n))
            cout << "YES
";
        else
            cout << "NO
";
    }
    return 0;
}