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 Python (3.8.2) (judge verdict: Accepted)

import sys
stdin = sys.stdin
sys.setrecursionlimit(10 ** 7)

def LI(): return list(map(int, stdin.readline().split()))
def LS(): return list(stdin.readline())

import math
x = int(input())
for i in range(-200, 200):
    for j in range(-200, 200):
        if i**5-j**5==x:
            print(i, j)
            exit()