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: Time Limit Exceeded)


x=int(input())
value=0
index=0
hashmap=dict()
while value<int(1e9)+1:
    value=pow(index,5)
    hashmap[value]=index
    index+=1
#print(hashmap)    

for i in range(1,x+1):
    b1=x+int(pow(i,5))
    b2=x+int(pow(-i,5))
#    print(i,b1,b2)
    if hashmap.get(b1)!=None:
        print(hashmap[b1],i)
        break
    if hashmap.get(b2)!=None:
        print(hashmap[b2],-i)
        break