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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)



import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Main {

	static long expo(long base, long exp) {
		long t = 1L;
		while (exp > 0) {
			if (exp % 2 != 0)
				t = (t * base);

			base = (base * base);
			exp /= 2;
		}
		return t;
	}

	public static void main(String args[]) throws Exception {
		MyScanner sc = new MyScanner();
		PrintWriter pr = new PrintWriter(System.out);
		long x = sc.nextLong();
		long a = 0L, b = 0L;
		for (long i = -1000; i <= 1000; i++) {
			for (long j = -1000; j <= 1000; j++) {
				
				long p = expo(i , 5L);
				long q = expo(j , 5L);
				
				if(p - q == x) {
					a = i;
					b = j;
					break;
				}
			}
		}
		System.out.println(a + " " + b);
		pr.close();
	}

	public static class MyScanner {
		BufferedReader br;
		StringTokenizer st;

		public MyScanner() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}

		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}

		int nextInt() {
			return Integer.parseInt(next());
		}

		long nextLong() {
			return Long.parseLong(next());
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		String nextLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
	}
}