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: Runtime Error)

# 2020/05/03
# AtCoder Beginner Contest 166 - D

# Input
x = int(input())

# Calc
eflg = False
for a in range(200):
    wk_a = a ** 5
    b = 0
    sav = 10 ** 10
    for b in range(200):
        val_1 = wk_a - (b ** 5)
        val_2 = wk_a - (-b ** 5)

        if val_1 == x:
            ans1 = a
            ans2 = b
            eflg = True
            break

        if val_2 == x:
            ans1 = a
            ans2 = -b
            eflg = True
            break
        
        sav = abs(val_2) - x

        if sav > x:
            break

    if eflg == True:
        break

# Output
print(ans1, ans2)