数学--数论--hdu 6216 A Cubic number and A Cubic Number (公式推导）
2020-11-05 18:52:16浏览数 (1)
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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
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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
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10
2
3
5
7
11
13
17
19
23
29
Sample Output
代码语言：javascript复制
NO
NO
NO
YES
NO
NO
NO
YES
NO
NO
代码语言：javascript复制
#include <bits/stdc .h>
using namespace std;
typedef long long ll;
using namespace std;
int main()
{
int T;
scanf("%d", &T);
while (T--)
{
ll n;
scanf("%lld", &n);
if ((n - 1) % 3)
{
printf("NOn");
continue;
}
ll x = (ll)sqrt((n - 1) / 3);
if (x * (x 1) == (n - 1) / 3)
printf("YESn");
else
printf("NOn");
}
return 0;
}
