Problem: You are given two positive integers A and B. Compare the magnitudes of these numbers.

Constraints

* 1 ≤ A, B ≤ 10^{100}
* Neither A nor B begins with a `0`.

Input

Input is given from Standard Input in the following format:


A
B


Output

Print `GREATER` if A>B, `LESS` if A<B and `EQUAL` if A=B.

Examples

Input

36
24


Output

GREATER


Input

850
3777


Output

LESS


Input

9720246
22516266


Output

LESS


Input

123456789012345678901234567890
234567890123456789012345678901


Output

LESS

Solution (in JAVA):

Solution:
import java.util.Scanner;

public class Main {
	void run() {
		Scanner sc = new Scanner(System.in);
		
		char[] a = sc.next().toCharArray();
		char[] b = sc.next().toCharArray();
		
		if (a.length < b.length) {
			System.out.println("LESS");
		} else if (a.length > b.length) {
			System.out.println("GREATER");
		} else {
			int n = a.length;
			for (int i = 0; i < n; i++) {
				if (a[i] < b[i]) {
					System.out.println("LESS");
					return;
				} else if (a[i] > b[i]) {
					System.out.println("GREATER");
					return;
				}
			}
			System.out.println("EQUAL");
		}
	}

	public static void main(String[] args) {
		new Main().run();
	}
}