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 PyPy3 (7.3.0) (judge verdict: Accepted)

import math
from collections import defaultdict
ml=lambda:map(int,input().split())
ll=lambda:list(map(int,input().split()))
ii=lambda:int(input())
ip=lambda:(input())

"""========main code==============="""
def fast(a,b):
    res=1
    while(b>0):
        if(b&1):
            res*=a
        a*=a    
        b>>=1
    return res
x=ii()
f=0
for i in range(-2001,2001):
    k=fast(i,5)
    for j in range(i,2001):
        p=fast(j,5)
        #print(k,p,i,j,p-k)
        if((p-k)==x):
            print(j,i)
            f=1
            break
        elif(k-p==x):
            print(i,j)
            f=1
            break
    if f:
        break