Problem:
Score : 400 points

Problem Statement

Give a pair of integers (A, B) such that A^5-B^5 = X.
It is guaranteed that there exists such a pair for the given integer X.

Constraints

1 \leq X \leq 10^9

X is an integer.

There exists a pair of integers (A, B) satisfying the condition in Problem Statement.

Input

Input is given from Standard Input in the following format:

X

Output

Print A and B, with space in between.
If there are multiple pairs of integers (A, B) satisfying the condition, you may print any of them.

A B

Sample Input 1

33

Sample Output 1

2 -1

For A=2 and B=-1, A^5-B^5 = 33.

Sample Input 2

1

Sample Output 2

0 -1

Solution in C (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <string.h>

int main()
{
  long X;
  
  scanf("%lu",&X);
  
  long A,B;
  
  int ansA,ansB;
  
  A=0;B=-1000;
  for(int i=0;i<1000;i++)
  {
    A++;
    for(int j=0;j<1000;j++)
    {
      B++;
      if(A*A*A*A*A-B*B*B*B*B == X)
      {
        ansA=A;
        ansB=B;
      }
    }
  } 
  printf("%d %d",ansA,ansB);
}