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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main(){
    long long X,A,B;
    cin>>X;
    for(long long i=-200;i<200;i++){
    for(long long j=-200;j<200;j++){
    A=i*i*i*i*i;
    B=j*j*j*j*j;
    if(A-B==X){
    cout<<i<<" "<<j<<endl;
    goto as;}}}
    as:
    cout<<endl;}