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>

long long int FiveFactorical(long long int r){
    return r * r * r * r * r;
}

int main(void){
    
    long long int X,i,j,ans;
    
    scanf("%lld",&X);

    for(i = -200;i <= 200;i++){
        for(j = -200;j <= 200;j++){
            if(FiveFactorical(i)+FiveFactorical(j) == X){
                printf("%lld %lld\n",i,j);
                return 0;
            }
        }
    }
    
    return 0;
}