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.next();
		String b = sc.next();
		int ans = 0;

		//1がaが大きい、2はｂが大きい、０は同じ
		if(a.length() > b.length()) {
			ans = 1;
		}else if(a.length() < b.length()) {
			ans = 2;
		}else {
			for (int i = 0; i < a.length(); i++) {
				if (a.charAt(i) > b.charAt(i)) {
					ans = 1;
					break;
				}else if (a.charAt(i) < b.charAt(i)) {
					ans = 2;
					break;
				}
			}
		}
		if(ans == 1) {
			System.out.println("GREATER");
		}else if(ans == 2) {
			System.out.println("LESS");
		}else {
			System.out.println("EQUAL");
		}
		sc.close();
	}
}