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
题意描述:
给出一个素数看它是不是两个数的立方差。
解题思路:
#include<stdio.h>
int main(void)
{
long long p,i;
int t;
scanf("%d",&t);
while(t--){
int flag=0;
scanf("%lld",&p);
for(i=1;i<=1000010;i++){
if(3*i*i+3*i+1==p){
flag=1;
break;
}
}
if(flag==1)
printf("YES\n");
else
printf("NO\n");
}
return 0;
}