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 {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		String a = sc.nextLine();
		String b = sc.nextLine();
		String ans = null;
		if(a.length() < b.length()) {
			ans = "LESS";
		}
		else if(a.length() > b.length()) {
			ans = "GREATER";
		}
		else {
			for(int i = 0; i < a.length() ; i++) {
				if(a.charAt(i)>b.charAt(i)) {
					ans = "GREATER";
					break;
				}
				else if(a.charAt(i) < b.charAt(i)) {
					ans ="LESS";
					break;
				}
				else if(a.charAt(i) == b.charAt(i) && i == a.length()-1) {
					ans = "EQUAL";
					break;
				}
			}
		}
		System.out.println(ans);
	}
}