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 Fortran (GNU Fortran 9.2.1) (judge verdict: Wrong Answer)

program main
  
  implicit none
  integer(8) :: a,b,x, tmp, n
  integer(8) :: ansa, ansb
  
  read(*,*) x
 
  do a = 0, 100 
    tmp = a**5 - x
    do b = -100, 100
      if ( tmp == b**5 )then
        ansa = a
        ansb = b
        n = 1
        exit
      end if
    end do
    if( n == 1) exit
  end do
  
  print*, ansa, ansb
  
end program main