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 Ruby (2.7.1) (judge verdict: Accepted)

x=gets.to_i
a=0
while a**5<=x**2
    c=a**5-x
    if c<0
        t=(-c)**0.2
    else
        t=c**0.2
    end
    t=t.to_i
    t=-t if c<0
    (t-10..t+10).each{|b|
        if a**5-b**5==x
            puts "#{a} #{b}"
            exit
        end
    }
    a+=1
end