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>
typedef long long LL;
LL fast(LL a,LL b){
	LL ans=1ll;
	while(b>0ll){
		if(b&1ll) ans=a*ans;
		a=a*a;
		b=b/2ll;
	}
	return ans;
}
int main(){
	LL x;
	LL a=-100ll,b=-100ll;
	scanf("%lld",&x);
	for(a=-100ll;a<=100ll;a++){
		for(b=-100ll;b<=100ll;b++){
			LL y=fast(a,5ll)-fast(b,5ll);
			if(y==x) goto l;
		}
	}
	l:;
	printf("%lld %lld",a,b);
	return 0;
}