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: Time Limit Exceeded)

#include<stdio.h>

int main(){
  long long x;
  scanf("%lld",&x);
  
  for(long long a=0;a>=0;a++){
    if(a<64){
      for(long long b=-64;b<0;b++){
        if(a*a*a*a*a-b*b*b*b*b==x){printf("%lld %lld",a,b);return 0;}
        if(a*a*a*a*a-b*b*b*b*b-x>0){break;}
      }
    }
    if(a>=64){
      for(long long b=1;b<=a;b++){
        if(a*a*a*a*a-b*b*b*b*b==x){printf("%lld %lld",a,b);return 0;}
        if(a*a*a*a*a-b*b*b*b*b-x<0){break;}
      }
    }
  }
}