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: Wrong Answer)

from sys import stdin
import sys
import math

X = int(input())

x = int(math.sqrt(X) + 1)

# ａ⁵－ｂ⁵＝(ａ－ｂ)(ａ⁴＋ａ³ｂ＋ａ²ｂ²＋ａｂ³＋ｂ⁴)
# a - b >= 1


for a in range(100):
    r = X - a ** 5
    b5 = 0
    for b in range(65):
        b5 = b ** 5
        if b5 == r:
            #print("%d %d" % (-a, b))
            print("%d %d" % (b, -a))
            sys.exit()
        if b5 > r:
            break