Problem: 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

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

Examples

Input

33


Output

2 -1


Input

1


Output

0 -1

Solution (in CPP):

Solution:
#include<stdio.h>
int main(void)
{
  int X;
  while(scanf("%d",&X)!=0)
  {
    for(long long A=0;A<120;A++)for(long long B=-120;B<A;B++)if(A*A*A*A*A-B*B*B*B*B==X)return printf("%lld %lld\n",A,B),0;
  }
}