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 C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;

const ll LongINF=1e13+7;
const ll INF=3981;
const int dx[]={0,1,0,-1};
const int dy[]={1,0,-1,0};

template<class T> inline bool chmin(T& a, T b) {if (a > b) {a = b;return true;}return false;}
template<class T> inline bool chmax(T& a, T b) {if (a < b) {a = b;return true;}return false;}
template <class T, class Y>T GCD(T a, Y b){if(a<b){int c=a;a=b;b=c;}if (a % b == 0){return b;}return GCD(b, a % b);}
template<class T,class Y>T LCM(T a,Y b){return (a*b)/GCD(a,b);}
void clear(queue<pair<int, int>> &q){queue<pair<int, int>> empty;swap(q, empty);} //queueの中身の型は適時変更を忘れない

using vi=vector<int>;
using vii=vector<vi>;

#define REP(i,a,b) for(ll i=(a);i<(b);i++)
#define rep(i,n) REP(i,0,n)
#define pb push_back
#define rv reverse
#define ALL(a) (a).begin(),(a).end()
#define decimal(x) fixed<<setprecision(x)

/*
a^n-b^n=(a-b)...より、
*/

int main(){
    ll x;
    cin>>x;
    ll b=1,c=-1;
    for(ll a=-INF+2;a<INF;a++){
        if(a-b==0)continue;
        if(x==(a-b)*(a*a*a*a+a*a*a*b+a*a*b*b+a*b*b*b+b*b*b*b)){
            cout<<a<<" "<<b<<endl;
            return 0;
        }else if(x==(a-c)*(a*a*a*a+a*a*a*c+a*a*c*c+a*c*c*c+c*c*c*c)){
            cout<<a<<" "<<c<<endl;
            return 0;
        }
    }
    return 0;
}

//a=97,z=122