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<bits/stdc++.h>
using namespace std;

int main(){
  long long x,a,b;
  cin>>x;
  for(long long i=120;i>=0;i--){
    for(long long j=-70;j<=i;j++){
       if(pow(i,5)-pow(j,5)==x){
         a=i;
         b=j;
         break;
       }
    }
  }
  cout <<a<<" "<<b;
}