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: Accepted)

# include <bits/stdc++.h>
# define rep(i, n) for(int i=0, i##_len=(n); i<i##_len; ++i)
# define reps(i, n) for(int i=1, i##_len=(n); i<=i##_len; ++i)
# define rrep(i, n) for(int i=((int)(n)-1); i>=0; --i)
# define rreps(i, n) for(int i=((int)(n)); i>0; --i)
# define ALL(x) (x).begin(), (x).end()
# define SZ(x) ((int)(x).size())
# define pb push_back
# define optimize_cin() cin.tie(0); ios::sync_with_stdio(false)
using namespace std;
using ll = long long;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
const long long INF = 1LL << 60;

ll gcd(ll a, ll b)
{
   if (a%b == 0)
   {
       return(b);
   }
   else
   {
       return(gcd(b, a%b));
   }
}

uintmax_t combination(unsigned int n, unsigned int r) {
  if ( r * 2 > n ) r = n - r;
  uintmax_t dividend = 1;
  uintmax_t divisor  = 1;
  for ( unsigned int i = 1; i <= r; ++i ) {
    dividend *= (n-i+1);
    divisor  *= i;
  }
  return dividend / divisor;
}

int modPow(long long a, long long n, long long p) {
  if (n == 1) return a % p;
  if (n % 2 == 1) return (a * modPow(a, n - 1, p)) % p;
  long long t = modPow(a, n / 2, p);
  return (t * t) % p;
}

ll lcm(ll a, ll b)
{
   return a / gcd(a, b) * b;
}

ll memo[1000010];

ll fib(ll x){
  if(x == 0) return 1;
  else if(x <= 2) return x;
  else if(memo[x] != 0) return memo[x];
  return memo[x] = fib(x-2) + fib(x-1);
}

ll five(ll x){
    return x*x*x*x*x;
}

int main()
{
  ll x;
  cin >> x;
  ll a,b;
  bool ans = false;

  for(int i = 0; i < 1000; i++){
      for(int j = -1000; j < 1000; j++){
          if(five(i) - five(j) == x){
              a = i;
              b = j;
              ans = true;
              break;
          }
      }
      if(ans) break;
  }

  cout << a << " " << b << endl;
  return 0;
}