2017青岛网络赛1011 A Cubic number and A Cubic Number-优快云博客

本文介绍了一个算法问题，即判断一个给定的素数是否可以表示为两个立方数之差。通过提供示例输入输出及一个简洁的C++代码实现，展示了如何有效地解决这一数学挑战。

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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

Sample Output

  
   NO
NO
NO
YES
NO
NO
NO
YES
NO
NO

Source

  
   输入输出测试

Statistic | Submit | Clarifications | Back

#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\n";
        else
            cout << "NO\n";
    }
    return 0;
}