Problem: 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

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

Examples

Input

33


Output

2 -1


Input

1


Output

0 -1

Solution (in PYTHON):

Solution:
x=input()
a=[0]
d={}
d[0]=0
for i in range(1,1000):
	a+=[i**5]
	a+=[-i**5]
	d[i**5]=i
	d[-i**5]=-i

a.sort()
for i in range(len(a)):
    if x+a[i] in a:
        print d[a[i]+x],d[a[i]]
        break